=>

[1]=>[1]=>[1]=>1=>0 [1,2]=>[2,1]=>[1,1]=>11=>0 [2,1]=>[1,2]=>[2]=>10=>1 [1,2,3]=>[3,2,1]=>[1,1,1]=>111=>0 [1,3,2]=>[3,1,2]=>[1,2]=>110=>1 [2,1,3]=>[2,3,1]=>[2,1]=>101=>2 [2,3,1]=>[2,1,3]=>[1,2]=>110=>1 [3,1,2]=>[1,3,2]=>[2,1]=>101=>2 [3,2,1]=>[1,2,3]=>[3]=>100=>1 [1,2,3,4]=>[4,3,2,1]=>[1,1,1,1]=>1111=>0 [1,2,4,3]=>[4,3,1,2]=>[1,1,2]=>1110=>1 [1,3,2,4]=>[4,2,3,1]=>[1,2,1]=>1101=>2 [1,3,4,2]=>[4,2,1,3]=>[1,1,2]=>1110=>1 [1,4,2,3]=>[4,1,3,2]=>[1,2,1]=>1101=>2 [1,4,3,2]=>[4,1,2,3]=>[1,3]=>1100=>1 [2,1,3,4]=>[3,4,2,1]=>[2,1,1]=>1011=>2 [2,1,4,3]=>[3,4,1,2]=>[2,2]=>1010=>3 [2,3,1,4]=>[3,2,4,1]=>[1,2,1]=>1101=>2 [2,3,4,1]=>[3,2,1,4]=>[1,1,2]=>1110=>1 [2,4,1,3]=>[3,1,4,2]=>[1,2,1]=>1101=>2 [2,4,3,1]=>[3,1,2,4]=>[1,3]=>1100=>1 [3,1,2,4]=>[2,4,3,1]=>[2,1,1]=>1011=>2 [3,1,4,2]=>[2,4,1,3]=>[2,2]=>1010=>3 [3,2,1,4]=>[2,3,4,1]=>[3,1]=>1001=>2 [3,2,4,1]=>[2,3,1,4]=>[2,2]=>1010=>3 [3,4,1,2]=>[2,1,4,3]=>[1,2,1]=>1101=>2 [3,4,2,1]=>[2,1,3,4]=>[1,3]=>1100=>1 [4,1,2,3]=>[1,4,3,2]=>[2,1,1]=>1011=>2 [4,1,3,2]=>[1,4,2,3]=>[2,2]=>1010=>3 [4,2,1,3]=>[1,3,4,2]=>[3,1]=>1001=>2 [4,2,3,1]=>[1,3,2,4]=>[2,2]=>1010=>3 [4,3,1,2]=>[1,2,4,3]=>[3,1]=>1001=>2 [4,3,2,1]=>[1,2,3,4]=>[4]=>1000=>1 [1,2,3,4,5]=>[5,4,3,2,1]=>[1,1,1,1,1]=>11111=>0 [1,2,3,5,4]=>[5,4,3,1,2]=>[1,1,1,2]=>11110=>1 [1,2,4,3,5]=>[5,4,2,3,1]=>[1,1,2,1]=>11101=>2 [1,2,4,5,3]=>[5,4,2,1,3]=>[1,1,1,2]=>11110=>1 [1,2,5,3,4]=>[5,4,1,3,2]=>[1,1,2,1]=>11101=>2 [1,2,5,4,3]=>[5,4,1,2,3]=>[1,1,3]=>11100=>1 [1,3,2,4,5]=>[5,3,4,2,1]=>[1,2,1,1]=>11011=>2 [1,3,2,5,4]=>[5,3,4,1,2]=>[1,2,2]=>11010=>3 [1,3,4,2,5]=>[5,3,2,4,1]=>[1,1,2,1]=>11101=>2 [1,3,4,5,2]=>[5,3,2,1,4]=>[1,1,1,2]=>11110=>1 [1,3,5,2,4]=>[5,3,1,4,2]=>[1,1,2,1]=>11101=>2 [1,3,5,4,2]=>[5,3,1,2,4]=>[1,1,3]=>11100=>1 [1,4,2,3,5]=>[5,2,4,3,1]=>[1,2,1,1]=>11011=>2 [1,4,2,5,3]=>[5,2,4,1,3]=>[1,2,2]=>11010=>3 [1,4,3,2,5]=>[5,2,3,4,1]=>[1,3,1]=>11001=>2 [1,4,3,5,2]=>[5,2,3,1,4]=>[1,2,2]=>11010=>3 [1,4,5,2,3]=>[5,2,1,4,3]=>[1,1,2,1]=>11101=>2 [1,4,5,3,2]=>[5,2,1,3,4]=>[1,1,3]=>11100=>1 [1,5,2,3,4]=>[5,1,4,3,2]=>[1,2,1,1]=>11011=>2 [1,5,2,4,3]=>[5,1,4,2,3]=>[1,2,2]=>11010=>3 [1,5,3,2,4]=>[5,1,3,4,2]=>[1,3,1]=>11001=>2 [1,5,3,4,2]=>[5,1,3,2,4]=>[1,2,2]=>11010=>3 [1,5,4,2,3]=>[5,1,2,4,3]=>[1,3,1]=>11001=>2 [1,5,4,3,2]=>[5,1,2,3,4]=>[1,4]=>11000=>1 [2,1,3,4,5]=>[4,5,3,2,1]=>[2,1,1,1]=>10111=>2 [2,1,3,5,4]=>[4,5,3,1,2]=>[2,1,2]=>10110=>3 [2,1,4,3,5]=>[4,5,2,3,1]=>[2,2,1]=>10101=>4 [2,1,4,5,3]=>[4,5,2,1,3]=>[2,1,2]=>10110=>3 [2,1,5,3,4]=>[4,5,1,3,2]=>[2,2,1]=>10101=>4 [2,1,5,4,3]=>[4,5,1,2,3]=>[2,3]=>10100=>3 [2,3,1,4,5]=>[4,3,5,2,1]=>[1,2,1,1]=>11011=>2 [2,3,1,5,4]=>[4,3,5,1,2]=>[1,2,2]=>11010=>3 [2,3,4,1,5]=>[4,3,2,5,1]=>[1,1,2,1]=>11101=>2 [2,3,4,5,1]=>[4,3,2,1,5]=>[1,1,1,2]=>11110=>1 [2,3,5,1,4]=>[4,3,1,5,2]=>[1,1,2,1]=>11101=>2 [2,3,5,4,1]=>[4,3,1,2,5]=>[1,1,3]=>11100=>1 [2,4,1,3,5]=>[4,2,5,3,1]=>[1,2,1,1]=>11011=>2 [2,4,1,5,3]=>[4,2,5,1,3]=>[1,2,2]=>11010=>3 [2,4,3,1,5]=>[4,2,3,5,1]=>[1,3,1]=>11001=>2 [2,4,3,5,1]=>[4,2,3,1,5]=>[1,2,2]=>11010=>3 [2,4,5,1,3]=>[4,2,1,5,3]=>[1,1,2,1]=>11101=>2 [2,4,5,3,1]=>[4,2,1,3,5]=>[1,1,3]=>11100=>1 [2,5,1,3,4]=>[4,1,5,3,2]=>[1,2,1,1]=>11011=>2 [2,5,1,4,3]=>[4,1,5,2,3]=>[1,2,2]=>11010=>3 [2,5,3,1,4]=>[4,1,3,5,2]=>[1,3,1]=>11001=>2 [2,5,3,4,1]=>[4,1,3,2,5]=>[1,2,2]=>11010=>3 [2,5,4,1,3]=>[4,1,2,5,3]=>[1,3,1]=>11001=>2 [2,5,4,3,1]=>[4,1,2,3,5]=>[1,4]=>11000=>1 [3,1,2,4,5]=>[3,5,4,2,1]=>[2,1,1,1]=>10111=>2 [3,1,2,5,4]=>[3,5,4,1,2]=>[2,1,2]=>10110=>3 [3,1,4,2,5]=>[3,5,2,4,1]=>[2,2,1]=>10101=>4 [3,1,4,5,2]=>[3,5,2,1,4]=>[2,1,2]=>10110=>3 [3,1,5,2,4]=>[3,5,1,4,2]=>[2,2,1]=>10101=>4 [3,1,5,4,2]=>[3,5,1,2,4]=>[2,3]=>10100=>3 [3,2,1,4,5]=>[3,4,5,2,1]=>[3,1,1]=>10011=>2 [3,2,1,5,4]=>[3,4,5,1,2]=>[3,2]=>10010=>3 [3,2,4,1,5]=>[3,4,2,5,1]=>[2,2,1]=>10101=>4 [3,2,4,5,1]=>[3,4,2,1,5]=>[2,1,2]=>10110=>3 [3,2,5,1,4]=>[3,4,1,5,2]=>[2,2,1]=>10101=>4 [3,2,5,4,1]=>[3,4,1,2,5]=>[2,3]=>10100=>3 [3,4,1,2,5]=>[3,2,5,4,1]=>[1,2,1,1]=>11011=>2 [3,4,1,5,2]=>[3,2,5,1,4]=>[1,2,2]=>11010=>3 [3,4,2,1,5]=>[3,2,4,5,1]=>[1,3,1]=>11001=>2 [3,4,2,5,1]=>[3,2,4,1,5]=>[1,2,2]=>11010=>3 [3,4,5,1,2]=>[3,2,1,5,4]=>[1,1,2,1]=>11101=>2 [3,4,5,2,1]=>[3,2,1,4,5]=>[1,1,3]=>11100=>1 [3,5,1,2,4]=>[3,1,5,4,2]=>[1,2,1,1]=>11011=>2 [3,5,1,4,2]=>[3,1,5,2,4]=>[1,2,2]=>11010=>3 [3,5,2,1,4]=>[3,1,4,5,2]=>[1,3,1]=>11001=>2 [3,5,2,4,1]=>[3,1,4,2,5]=>[1,2,2]=>11010=>3 [3,5,4,1,2]=>[3,1,2,5,4]=>[1,3,1]=>11001=>2 [3,5,4,2,1]=>[3,1,2,4,5]=>[1,4]=>11000=>1 [4,1,2,3,5]=>[2,5,4,3,1]=>[2,1,1,1]=>10111=>2 [4,1,2,5,3]=>[2,5,4,1,3]=>[2,1,2]=>10110=>3 [4,1,3,2,5]=>[2,5,3,4,1]=>[2,2,1]=>10101=>4 [4,1,3,5,2]=>[2,5,3,1,4]=>[2,1,2]=>10110=>3 [4,1,5,2,3]=>[2,5,1,4,3]=>[2,2,1]=>10101=>4 [4,1,5,3,2]=>[2,5,1,3,4]=>[2,3]=>10100=>3 [4,2,1,3,5]=>[2,4,5,3,1]=>[3,1,1]=>10011=>2 [4,2,1,5,3]=>[2,4,5,1,3]=>[3,2]=>10010=>3 [4,2,3,1,5]=>[2,4,3,5,1]=>[2,2,1]=>10101=>4 [4,2,3,5,1]=>[2,4,3,1,5]=>[2,1,2]=>10110=>3 [4,2,5,1,3]=>[2,4,1,5,3]=>[2,2,1]=>10101=>4 [4,2,5,3,1]=>[2,4,1,3,5]=>[2,3]=>10100=>3 [4,3,1,2,5]=>[2,3,5,4,1]=>[3,1,1]=>10011=>2 [4,3,1,5,2]=>[2,3,5,1,4]=>[3,2]=>10010=>3 [4,3,2,1,5]=>[2,3,4,5,1]=>[4,1]=>10001=>2 [4,3,2,5,1]=>[2,3,4,1,5]=>[3,2]=>10010=>3 [4,3,5,1,2]=>[2,3,1,5,4]=>[2,2,1]=>10101=>4 [4,3,5,2,1]=>[2,3,1,4,5]=>[2,3]=>10100=>3 [4,5,1,2,3]=>[2,1,5,4,3]=>[1,2,1,1]=>11011=>2 [4,5,1,3,2]=>[2,1,5,3,4]=>[1,2,2]=>11010=>3 [4,5,2,1,3]=>[2,1,4,5,3]=>[1,3,1]=>11001=>2 [4,5,2,3,1]=>[2,1,4,3,5]=>[1,2,2]=>11010=>3 [4,5,3,1,2]=>[2,1,3,5,4]=>[1,3,1]=>11001=>2 [4,5,3,2,1]=>[2,1,3,4,5]=>[1,4]=>11000=>1 [5,1,2,3,4]=>[1,5,4,3,2]=>[2,1,1,1]=>10111=>2 [5,1,2,4,3]=>[1,5,4,2,3]=>[2,1,2]=>10110=>3 [5,1,3,2,4]=>[1,5,3,4,2]=>[2,2,1]=>10101=>4 [5,1,3,4,2]=>[1,5,3,2,4]=>[2,1,2]=>10110=>3 [5,1,4,2,3]=>[1,5,2,4,3]=>[2,2,1]=>10101=>4 [5,1,4,3,2]=>[1,5,2,3,4]=>[2,3]=>10100=>3 [5,2,1,3,4]=>[1,4,5,3,2]=>[3,1,1]=>10011=>2 [5,2,1,4,3]=>[1,4,5,2,3]=>[3,2]=>10010=>3 [5,2,3,1,4]=>[1,4,3,5,2]=>[2,2,1]=>10101=>4 [5,2,3,4,1]=>[1,4,3,2,5]=>[2,1,2]=>10110=>3 [5,2,4,1,3]=>[1,4,2,5,3]=>[2,2,1]=>10101=>4 [5,2,4,3,1]=>[1,4,2,3,5]=>[2,3]=>10100=>3 [5,3,1,2,4]=>[1,3,5,4,2]=>[3,1,1]=>10011=>2 [5,3,1,4,2]=>[1,3,5,2,4]=>[3,2]=>10010=>3 [5,3,2,1,4]=>[1,3,4,5,2]=>[4,1]=>10001=>2 [5,3,2,4,1]=>[1,3,4,2,5]=>[3,2]=>10010=>3 [5,3,4,1,2]=>[1,3,2,5,4]=>[2,2,1]=>10101=>4 [5,3,4,2,1]=>[1,3,2,4,5]=>[2,3]=>10100=>3 [5,4,1,2,3]=>[1,2,5,4,3]=>[3,1,1]=>10011=>2 [5,4,1,3,2]=>[1,2,5,3,4]=>[3,2]=>10010=>3 [5,4,2,1,3]=>[1,2,4,5,3]=>[4,1]=>10001=>2 [5,4,2,3,1]=>[1,2,4,3,5]=>[3,2]=>10010=>3 [5,4,3,1,2]=>[1,2,3,5,4]=>[4,1]=>10001=>2 [5,4,3,2,1]=>[1,2,3,4,5]=>[5]=>10000=>1 [1,2,3,4,5,6]=>[6,5,4,3,2,1]=>[1,1,1,1,1,1]=>111111=>0 [1,2,3,4,6,5]=>[6,5,4,3,1,2]=>[1,1,1,1,2]=>111110=>1 [1,2,3,5,4,6]=>[6,5,4,2,3,1]=>[1,1,1,2,1]=>111101=>2 [1,2,3,5,6,4]=>[6,5,4,2,1,3]=>[1,1,1,1,2]=>111110=>1 [1,2,3,6,4,5]=>[6,5,4,1,3,2]=>[1,1,1,2,1]=>111101=>2 [1,2,3,6,5,4]=>[6,5,4,1,2,3]=>[1,1,1,3]=>111100=>1 [1,2,4,3,5,6]=>[6,5,3,4,2,1]=>[1,1,2,1,1]=>111011=>2 [1,2,4,3,6,5]=>[6,5,3,4,1,2]=>[1,1,2,2]=>111010=>3 [1,2,4,5,3,6]=>[6,5,3,2,4,1]=>[1,1,1,2,1]=>111101=>2 [1,2,4,5,6,3]=>[6,5,3,2,1,4]=>[1,1,1,1,2]=>111110=>1 [1,2,4,6,3,5]=>[6,5,3,1,4,2]=>[1,1,1,2,1]=>111101=>2 [1,2,4,6,5,3]=>[6,5,3,1,2,4]=>[1,1,1,3]=>111100=>1 [1,2,5,3,4,6]=>[6,5,2,4,3,1]=>[1,1,2,1,1]=>111011=>2 [1,2,5,3,6,4]=>[6,5,2,4,1,3]=>[1,1,2,2]=>111010=>3 [1,2,5,4,3,6]=>[6,5,2,3,4,1]=>[1,1,3,1]=>111001=>2 [1,2,5,4,6,3]=>[6,5,2,3,1,4]=>[1,1,2,2]=>111010=>3 [1,2,5,6,3,4]=>[6,5,2,1,4,3]=>[1,1,1,2,1]=>111101=>2 [1,2,5,6,4,3]=>[6,5,2,1,3,4]=>[1,1,1,3]=>111100=>1 [1,2,6,3,4,5]=>[6,5,1,4,3,2]=>[1,1,2,1,1]=>111011=>2 [1,2,6,3,5,4]=>[6,5,1,4,2,3]=>[1,1,2,2]=>111010=>3 [1,2,6,4,3,5]=>[6,5,1,3,4,2]=>[1,1,3,1]=>111001=>2 [1,2,6,4,5,3]=>[6,5,1,3,2,4]=>[1,1,2,2]=>111010=>3 [1,2,6,5,3,4]=>[6,5,1,2,4,3]=>[1,1,3,1]=>111001=>2 [1,2,6,5,4,3]=>[6,5,1,2,3,4]=>[1,1,4]=>111000=>1 [1,3,2,4,5,6]=>[6,4,5,3,2,1]=>[1,2,1,1,1]=>110111=>2 [1,3,2,4,6,5]=>[6,4,5,3,1,2]=>[1,2,1,2]=>110110=>3 [1,3,2,5,4,6]=>[6,4,5,2,3,1]=>[1,2,2,1]=>110101=>4 [1,3,2,5,6,4]=>[6,4,5,2,1,3]=>[1,2,1,2]=>110110=>3 [1,3,2,6,4,5]=>[6,4,5,1,3,2]=>[1,2,2,1]=>110101=>4 [1,3,2,6,5,4]=>[6,4,5,1,2,3]=>[1,2,3]=>110100=>3 [1,3,4,2,5,6]=>[6,4,3,5,2,1]=>[1,1,2,1,1]=>111011=>2 [1,3,4,2,6,5]=>[6,4,3,5,1,2]=>[1,1,2,2]=>111010=>3 [1,3,4,5,2,6]=>[6,4,3,2,5,1]=>[1,1,1,2,1]=>111101=>2 [1,3,4,5,6,2]=>[6,4,3,2,1,5]=>[1,1,1,1,2]=>111110=>1 [1,3,4,6,2,5]=>[6,4,3,1,5,2]=>[1,1,1,2,1]=>111101=>2 [1,3,4,6,5,2]=>[6,4,3,1,2,5]=>[1,1,1,3]=>111100=>1 [1,3,5,2,4,6]=>[6,4,2,5,3,1]=>[1,1,2,1,1]=>111011=>2 [1,3,5,2,6,4]=>[6,4,2,5,1,3]=>[1,1,2,2]=>111010=>3 [1,3,5,4,2,6]=>[6,4,2,3,5,1]=>[1,1,3,1]=>111001=>2 [1,3,5,4,6,2]=>[6,4,2,3,1,5]=>[1,1,2,2]=>111010=>3 [1,3,5,6,2,4]=>[6,4,2,1,5,3]=>[1,1,1,2,1]=>111101=>2 [1,3,5,6,4,2]=>[6,4,2,1,3,5]=>[1,1,1,3]=>111100=>1 [1,3,6,2,4,5]=>[6,4,1,5,3,2]=>[1,1,2,1,1]=>111011=>2 [1,3,6,2,5,4]=>[6,4,1,5,2,3]=>[1,1,2,2]=>111010=>3 [1,3,6,4,2,5]=>[6,4,1,3,5,2]=>[1,1,3,1]=>111001=>2 [1,3,6,4,5,2]=>[6,4,1,3,2,5]=>[1,1,2,2]=>111010=>3 [1,3,6,5,2,4]=>[6,4,1,2,5,3]=>[1,1,3,1]=>111001=>2 [1,3,6,5,4,2]=>[6,4,1,2,3,5]=>[1,1,4]=>111000=>1 [1,4,2,3,5,6]=>[6,3,5,4,2,1]=>[1,2,1,1,1]=>110111=>2 [1,4,2,3,6,5]=>[6,3,5,4,1,2]=>[1,2,1,2]=>110110=>3 [1,4,2,5,3,6]=>[6,3,5,2,4,1]=>[1,2,2,1]=>110101=>4 [1,4,2,5,6,3]=>[6,3,5,2,1,4]=>[1,2,1,2]=>110110=>3 [1,4,2,6,3,5]=>[6,3,5,1,4,2]=>[1,2,2,1]=>110101=>4 [1,4,2,6,5,3]=>[6,3,5,1,2,4]=>[1,2,3]=>110100=>3 [1,4,3,2,5,6]=>[6,3,4,5,2,1]=>[1,3,1,1]=>110011=>2 [1,4,3,2,6,5]=>[6,3,4,5,1,2]=>[1,3,2]=>110010=>3 [1,4,3,5,2,6]=>[6,3,4,2,5,1]=>[1,2,2,1]=>110101=>4 [1,4,3,5,6,2]=>[6,3,4,2,1,5]=>[1,2,1,2]=>110110=>3 [1,4,3,6,2,5]=>[6,3,4,1,5,2]=>[1,2,2,1]=>110101=>4 [1,4,3,6,5,2]=>[6,3,4,1,2,5]=>[1,2,3]=>110100=>3 [1,4,5,2,3,6]=>[6,3,2,5,4,1]=>[1,1,2,1,1]=>111011=>2 [1,4,5,2,6,3]=>[6,3,2,5,1,4]=>[1,1,2,2]=>111010=>3 [1,4,5,3,2,6]=>[6,3,2,4,5,1]=>[1,1,3,1]=>111001=>2 [1,4,5,3,6,2]=>[6,3,2,4,1,5]=>[1,1,2,2]=>111010=>3 [1,4,5,6,2,3]=>[6,3,2,1,5,4]=>[1,1,1,2,1]=>111101=>2 [1,4,5,6,3,2]=>[6,3,2,1,4,5]=>[1,1,1,3]=>111100=>1 [1,4,6,2,3,5]=>[6,3,1,5,4,2]=>[1,1,2,1,1]=>111011=>2 [1,4,6,2,5,3]=>[6,3,1,5,2,4]=>[1,1,2,2]=>111010=>3 [1,4,6,3,2,5]=>[6,3,1,4,5,2]=>[1,1,3,1]=>111001=>2 [1,4,6,3,5,2]=>[6,3,1,4,2,5]=>[1,1,2,2]=>111010=>3 [1,4,6,5,2,3]=>[6,3,1,2,5,4]=>[1,1,3,1]=>111001=>2 [1,4,6,5,3,2]=>[6,3,1,2,4,5]=>[1,1,4]=>111000=>1 [1,5,2,3,4,6]=>[6,2,5,4,3,1]=>[1,2,1,1,1]=>110111=>2 [1,5,2,3,6,4]=>[6,2,5,4,1,3]=>[1,2,1,2]=>110110=>3 [1,5,2,4,3,6]=>[6,2,5,3,4,1]=>[1,2,2,1]=>110101=>4 [1,5,2,4,6,3]=>[6,2,5,3,1,4]=>[1,2,1,2]=>110110=>3 [1,5,2,6,3,4]=>[6,2,5,1,4,3]=>[1,2,2,1]=>110101=>4 [1,5,2,6,4,3]=>[6,2,5,1,3,4]=>[1,2,3]=>110100=>3 [1,5,3,2,4,6]=>[6,2,4,5,3,1]=>[1,3,1,1]=>110011=>2 [1,5,3,2,6,4]=>[6,2,4,5,1,3]=>[1,3,2]=>110010=>3 [1,5,3,4,2,6]=>[6,2,4,3,5,1]=>[1,2,2,1]=>110101=>4 [1,5,3,4,6,2]=>[6,2,4,3,1,5]=>[1,2,1,2]=>110110=>3 [1,5,3,6,2,4]=>[6,2,4,1,5,3]=>[1,2,2,1]=>110101=>4 [1,5,3,6,4,2]=>[6,2,4,1,3,5]=>[1,2,3]=>110100=>3 [1,5,4,2,3,6]=>[6,2,3,5,4,1]=>[1,3,1,1]=>110011=>2 [1,5,4,2,6,3]=>[6,2,3,5,1,4]=>[1,3,2]=>110010=>3 [1,5,4,3,2,6]=>[6,2,3,4,5,1]=>[1,4,1]=>110001=>2 [1,5,4,3,6,2]=>[6,2,3,4,1,5]=>[1,3,2]=>110010=>3 [1,5,4,6,2,3]=>[6,2,3,1,5,4]=>[1,2,2,1]=>110101=>4 [1,5,4,6,3,2]=>[6,2,3,1,4,5]=>[1,2,3]=>110100=>3 [1,5,6,2,3,4]=>[6,2,1,5,4,3]=>[1,1,2,1,1]=>111011=>2 [1,5,6,2,4,3]=>[6,2,1,5,3,4]=>[1,1,2,2]=>111010=>3 [1,5,6,3,2,4]=>[6,2,1,4,5,3]=>[1,1,3,1]=>111001=>2 [1,5,6,3,4,2]=>[6,2,1,4,3,5]=>[1,1,2,2]=>111010=>3 [1,5,6,4,2,3]=>[6,2,1,3,5,4]=>[1,1,3,1]=>111001=>2 [1,5,6,4,3,2]=>[6,2,1,3,4,5]=>[1,1,4]=>111000=>1 [1,6,2,3,4,5]=>[6,1,5,4,3,2]=>[1,2,1,1,1]=>110111=>2 [1,6,2,3,5,4]=>[6,1,5,4,2,3]=>[1,2,1,2]=>110110=>3 [1,6,2,4,3,5]=>[6,1,5,3,4,2]=>[1,2,2,1]=>110101=>4 [1,6,2,4,5,3]=>[6,1,5,3,2,4]=>[1,2,1,2]=>110110=>3 [1,6,2,5,3,4]=>[6,1,5,2,4,3]=>[1,2,2,1]=>110101=>4 [1,6,2,5,4,3]=>[6,1,5,2,3,4]=>[1,2,3]=>110100=>3 [1,6,3,2,4,5]=>[6,1,4,5,3,2]=>[1,3,1,1]=>110011=>2 [1,6,3,2,5,4]=>[6,1,4,5,2,3]=>[1,3,2]=>110010=>3 [1,6,3,4,2,5]=>[6,1,4,3,5,2]=>[1,2,2,1]=>110101=>4 [1,6,3,4,5,2]=>[6,1,4,3,2,5]=>[1,2,1,2]=>110110=>3 [1,6,3,5,2,4]=>[6,1,4,2,5,3]=>[1,2,2,1]=>110101=>4 [1,6,3,5,4,2]=>[6,1,4,2,3,5]=>[1,2,3]=>110100=>3 [1,6,4,2,3,5]=>[6,1,3,5,4,2]=>[1,3,1,1]=>110011=>2 [1,6,4,2,5,3]=>[6,1,3,5,2,4]=>[1,3,2]=>110010=>3 [1,6,4,3,2,5]=>[6,1,3,4,5,2]=>[1,4,1]=>110001=>2 [1,6,4,3,5,2]=>[6,1,3,4,2,5]=>[1,3,2]=>110010=>3 [1,6,4,5,2,3]=>[6,1,3,2,5,4]=>[1,2,2,1]=>110101=>4 [1,6,4,5,3,2]=>[6,1,3,2,4,5]=>[1,2,3]=>110100=>3 [1,6,5,2,3,4]=>[6,1,2,5,4,3]=>[1,3,1,1]=>110011=>2 [1,6,5,2,4,3]=>[6,1,2,5,3,4]=>[1,3,2]=>110010=>3 [1,6,5,3,2,4]=>[6,1,2,4,5,3]=>[1,4,1]=>110001=>2 [1,6,5,3,4,2]=>[6,1,2,4,3,5]=>[1,3,2]=>110010=>3 [1,6,5,4,2,3]=>[6,1,2,3,5,4]=>[1,4,1]=>110001=>2 [1,6,5,4,3,2]=>[6,1,2,3,4,5]=>[1,5]=>110000=>1 [2,1,3,4,5,6]=>[5,6,4,3,2,1]=>[2,1,1,1,1]=>101111=>2 [2,1,3,4,6,5]=>[5,6,4,3,1,2]=>[2,1,1,2]=>101110=>3 [2,1,3,5,4,6]=>[5,6,4,2,3,1]=>[2,1,2,1]=>101101=>4 [2,1,3,5,6,4]=>[5,6,4,2,1,3]=>[2,1,1,2]=>101110=>3 [2,1,3,6,4,5]=>[5,6,4,1,3,2]=>[2,1,2,1]=>101101=>4 [2,1,3,6,5,4]=>[5,6,4,1,2,3]=>[2,1,3]=>101100=>3 [2,1,4,3,5,6]=>[5,6,3,4,2,1]=>[2,2,1,1]=>101011=>4 [2,1,4,3,6,5]=>[5,6,3,4,1,2]=>[2,2,2]=>101010=>5 [2,1,4,5,3,6]=>[5,6,3,2,4,1]=>[2,1,2,1]=>101101=>4 [2,1,4,5,6,3]=>[5,6,3,2,1,4]=>[2,1,1,2]=>101110=>3 [2,1,4,6,3,5]=>[5,6,3,1,4,2]=>[2,1,2,1]=>101101=>4 [2,1,4,6,5,3]=>[5,6,3,1,2,4]=>[2,1,3]=>101100=>3 [2,1,5,3,4,6]=>[5,6,2,4,3,1]=>[2,2,1,1]=>101011=>4 [2,1,5,3,6,4]=>[5,6,2,4,1,3]=>[2,2,2]=>101010=>5 [2,1,5,4,3,6]=>[5,6,2,3,4,1]=>[2,3,1]=>101001=>4 [2,1,5,4,6,3]=>[5,6,2,3,1,4]=>[2,2,2]=>101010=>5 [2,1,5,6,3,4]=>[5,6,2,1,4,3]=>[2,1,2,1]=>101101=>4 [2,1,5,6,4,3]=>[5,6,2,1,3,4]=>[2,1,3]=>101100=>3 [2,1,6,3,4,5]=>[5,6,1,4,3,2]=>[2,2,1,1]=>101011=>4 [2,1,6,3,5,4]=>[5,6,1,4,2,3]=>[2,2,2]=>101010=>5 [2,1,6,4,3,5]=>[5,6,1,3,4,2]=>[2,3,1]=>101001=>4 [2,1,6,4,5,3]=>[5,6,1,3,2,4]=>[2,2,2]=>101010=>5 [2,1,6,5,3,4]=>[5,6,1,2,4,3]=>[2,3,1]=>101001=>4 [2,1,6,5,4,3]=>[5,6,1,2,3,4]=>[2,4]=>101000=>3 [2,3,1,4,5,6]=>[5,4,6,3,2,1]=>[1,2,1,1,1]=>110111=>2 [2,3,1,4,6,5]=>[5,4,6,3,1,2]=>[1,2,1,2]=>110110=>3 [2,3,1,5,4,6]=>[5,4,6,2,3,1]=>[1,2,2,1]=>110101=>4 [2,3,1,5,6,4]=>[5,4,6,2,1,3]=>[1,2,1,2]=>110110=>3 [2,3,1,6,4,5]=>[5,4,6,1,3,2]=>[1,2,2,1]=>110101=>4 [2,3,1,6,5,4]=>[5,4,6,1,2,3]=>[1,2,3]=>110100=>3 [2,3,4,1,5,6]=>[5,4,3,6,2,1]=>[1,1,2,1,1]=>111011=>2 [2,3,4,1,6,5]=>[5,4,3,6,1,2]=>[1,1,2,2]=>111010=>3 [2,3,4,5,1,6]=>[5,4,3,2,6,1]=>[1,1,1,2,1]=>111101=>2 [2,3,4,5,6,1]=>[5,4,3,2,1,6]=>[1,1,1,1,2]=>111110=>1 [2,3,4,6,1,5]=>[5,4,3,1,6,2]=>[1,1,1,2,1]=>111101=>2 [2,3,4,6,5,1]=>[5,4,3,1,2,6]=>[1,1,1,3]=>111100=>1 [2,3,5,1,4,6]=>[5,4,2,6,3,1]=>[1,1,2,1,1]=>111011=>2 [2,3,5,1,6,4]=>[5,4,2,6,1,3]=>[1,1,2,2]=>111010=>3 [2,3,5,4,1,6]=>[5,4,2,3,6,1]=>[1,1,3,1]=>111001=>2 [2,3,5,4,6,1]=>[5,4,2,3,1,6]=>[1,1,2,2]=>111010=>3 [2,3,5,6,1,4]=>[5,4,2,1,6,3]=>[1,1,1,2,1]=>111101=>2 [2,3,5,6,4,1]=>[5,4,2,1,3,6]=>[1,1,1,3]=>111100=>1 [2,3,6,1,4,5]=>[5,4,1,6,3,2]=>[1,1,2,1,1]=>111011=>2 [2,3,6,1,5,4]=>[5,4,1,6,2,3]=>[1,1,2,2]=>111010=>3 [2,3,6,4,1,5]=>[5,4,1,3,6,2]=>[1,1,3,1]=>111001=>2 [2,3,6,4,5,1]=>[5,4,1,3,2,6]=>[1,1,2,2]=>111010=>3 [2,3,6,5,1,4]=>[5,4,1,2,6,3]=>[1,1,3,1]=>111001=>2 [2,3,6,5,4,1]=>[5,4,1,2,3,6]=>[1,1,4]=>111000=>1 [2,4,1,3,5,6]=>[5,3,6,4,2,1]=>[1,2,1,1,1]=>110111=>2 [2,4,1,3,6,5]=>[5,3,6,4,1,2]=>[1,2,1,2]=>110110=>3 [2,4,1,5,3,6]=>[5,3,6,2,4,1]=>[1,2,2,1]=>110101=>4 [2,4,1,5,6,3]=>[5,3,6,2,1,4]=>[1,2,1,2]=>110110=>3 [2,4,1,6,3,5]=>[5,3,6,1,4,2]=>[1,2,2,1]=>110101=>4 [2,4,1,6,5,3]=>[5,3,6,1,2,4]=>[1,2,3]=>110100=>3 [2,4,3,1,5,6]=>[5,3,4,6,2,1]=>[1,3,1,1]=>110011=>2 [2,4,3,1,6,5]=>[5,3,4,6,1,2]=>[1,3,2]=>110010=>3 [2,4,3,5,1,6]=>[5,3,4,2,6,1]=>[1,2,2,1]=>110101=>4 [2,4,3,5,6,1]=>[5,3,4,2,1,6]=>[1,2,1,2]=>110110=>3 [2,4,3,6,1,5]=>[5,3,4,1,6,2]=>[1,2,2,1]=>110101=>4 [2,4,3,6,5,1]=>[5,3,4,1,2,6]=>[1,2,3]=>110100=>3 [2,4,5,1,3,6]=>[5,3,2,6,4,1]=>[1,1,2,1,1]=>111011=>2 [2,4,5,1,6,3]=>[5,3,2,6,1,4]=>[1,1,2,2]=>111010=>3 [2,4,5,3,1,6]=>[5,3,2,4,6,1]=>[1,1,3,1]=>111001=>2 [2,4,5,3,6,1]=>[5,3,2,4,1,6]=>[1,1,2,2]=>111010=>3 [2,4,5,6,1,3]=>[5,3,2,1,6,4]=>[1,1,1,2,1]=>111101=>2 [2,4,5,6,3,1]=>[5,3,2,1,4,6]=>[1,1,1,3]=>111100=>1 [2,4,6,1,3,5]=>[5,3,1,6,4,2]=>[1,1,2,1,1]=>111011=>2 [2,4,6,1,5,3]=>[5,3,1,6,2,4]=>[1,1,2,2]=>111010=>3 [2,4,6,3,1,5]=>[5,3,1,4,6,2]=>[1,1,3,1]=>111001=>2 [2,4,6,3,5,1]=>[5,3,1,4,2,6]=>[1,1,2,2]=>111010=>3 [2,4,6,5,1,3]=>[5,3,1,2,6,4]=>[1,1,3,1]=>111001=>2 [2,4,6,5,3,1]=>[5,3,1,2,4,6]=>[1,1,4]=>111000=>1 [2,5,1,3,4,6]=>[5,2,6,4,3,1]=>[1,2,1,1,1]=>110111=>2 [2,5,1,3,6,4]=>[5,2,6,4,1,3]=>[1,2,1,2]=>110110=>3 [2,5,1,4,3,6]=>[5,2,6,3,4,1]=>[1,2,2,1]=>110101=>4 [2,5,1,4,6,3]=>[5,2,6,3,1,4]=>[1,2,1,2]=>110110=>3 [2,5,1,6,3,4]=>[5,2,6,1,4,3]=>[1,2,2,1]=>110101=>4 [2,5,1,6,4,3]=>[5,2,6,1,3,4]=>[1,2,3]=>110100=>3 [2,5,3,1,4,6]=>[5,2,4,6,3,1]=>[1,3,1,1]=>110011=>2 [2,5,3,1,6,4]=>[5,2,4,6,1,3]=>[1,3,2]=>110010=>3 [2,5,3,4,1,6]=>[5,2,4,3,6,1]=>[1,2,2,1]=>110101=>4 [2,5,3,4,6,1]=>[5,2,4,3,1,6]=>[1,2,1,2]=>110110=>3 [2,5,3,6,1,4]=>[5,2,4,1,6,3]=>[1,2,2,1]=>110101=>4 [2,5,3,6,4,1]=>[5,2,4,1,3,6]=>[1,2,3]=>110100=>3 [2,5,4,1,3,6]=>[5,2,3,6,4,1]=>[1,3,1,1]=>110011=>2 [2,5,4,1,6,3]=>[5,2,3,6,1,4]=>[1,3,2]=>110010=>3 [2,5,4,3,1,6]=>[5,2,3,4,6,1]=>[1,4,1]=>110001=>2 [2,5,4,3,6,1]=>[5,2,3,4,1,6]=>[1,3,2]=>110010=>3 [2,5,4,6,1,3]=>[5,2,3,1,6,4]=>[1,2,2,1]=>110101=>4 [2,5,4,6,3,1]=>[5,2,3,1,4,6]=>[1,2,3]=>110100=>3 [2,5,6,1,3,4]=>[5,2,1,6,4,3]=>[1,1,2,1,1]=>111011=>2 [2,5,6,1,4,3]=>[5,2,1,6,3,4]=>[1,1,2,2]=>111010=>3 [2,5,6,3,1,4]=>[5,2,1,4,6,3]=>[1,1,3,1]=>111001=>2 [2,5,6,3,4,1]=>[5,2,1,4,3,6]=>[1,1,2,2]=>111010=>3 [2,5,6,4,1,3]=>[5,2,1,3,6,4]=>[1,1,3,1]=>111001=>2 [2,5,6,4,3,1]=>[5,2,1,3,4,6]=>[1,1,4]=>111000=>1 [2,6,1,3,4,5]=>[5,1,6,4,3,2]=>[1,2,1,1,1]=>110111=>2 [2,6,1,3,5,4]=>[5,1,6,4,2,3]=>[1,2,1,2]=>110110=>3 [2,6,1,4,3,5]=>[5,1,6,3,4,2]=>[1,2,2,1]=>110101=>4 [2,6,1,4,5,3]=>[5,1,6,3,2,4]=>[1,2,1,2]=>110110=>3 [2,6,1,5,3,4]=>[5,1,6,2,4,3]=>[1,2,2,1]=>110101=>4 [2,6,1,5,4,3]=>[5,1,6,2,3,4]=>[1,2,3]=>110100=>3 [2,6,3,1,4,5]=>[5,1,4,6,3,2]=>[1,3,1,1]=>110011=>2 [2,6,3,1,5,4]=>[5,1,4,6,2,3]=>[1,3,2]=>110010=>3 [2,6,3,4,1,5]=>[5,1,4,3,6,2]=>[1,2,2,1]=>110101=>4 [2,6,3,4,5,1]=>[5,1,4,3,2,6]=>[1,2,1,2]=>110110=>3 [2,6,3,5,1,4]=>[5,1,4,2,6,3]=>[1,2,2,1]=>110101=>4 [2,6,3,5,4,1]=>[5,1,4,2,3,6]=>[1,2,3]=>110100=>3 [2,6,4,1,3,5]=>[5,1,3,6,4,2]=>[1,3,1,1]=>110011=>2 [2,6,4,1,5,3]=>[5,1,3,6,2,4]=>[1,3,2]=>110010=>3 [2,6,4,3,1,5]=>[5,1,3,4,6,2]=>[1,4,1]=>110001=>2 [2,6,4,3,5,1]=>[5,1,3,4,2,6]=>[1,3,2]=>110010=>3 [2,6,4,5,1,3]=>[5,1,3,2,6,4]=>[1,2,2,1]=>110101=>4 [2,6,4,5,3,1]=>[5,1,3,2,4,6]=>[1,2,3]=>110100=>3 [2,6,5,1,3,4]=>[5,1,2,6,4,3]=>[1,3,1,1]=>110011=>2 [2,6,5,1,4,3]=>[5,1,2,6,3,4]=>[1,3,2]=>110010=>3 [2,6,5,3,1,4]=>[5,1,2,4,6,3]=>[1,4,1]=>110001=>2 [2,6,5,3,4,1]=>[5,1,2,4,3,6]=>[1,3,2]=>110010=>3 [2,6,5,4,1,3]=>[5,1,2,3,6,4]=>[1,4,1]=>110001=>2 [2,6,5,4,3,1]=>[5,1,2,3,4,6]=>[1,5]=>110000=>1 [3,1,2,4,5,6]=>[4,6,5,3,2,1]=>[2,1,1,1,1]=>101111=>2 [3,1,2,4,6,5]=>[4,6,5,3,1,2]=>[2,1,1,2]=>101110=>3 [3,1,2,5,4,6]=>[4,6,5,2,3,1]=>[2,1,2,1]=>101101=>4 [3,1,2,5,6,4]=>[4,6,5,2,1,3]=>[2,1,1,2]=>101110=>3 [3,1,2,6,4,5]=>[4,6,5,1,3,2]=>[2,1,2,1]=>101101=>4 [3,1,2,6,5,4]=>[4,6,5,1,2,3]=>[2,1,3]=>101100=>3 [3,1,4,2,5,6]=>[4,6,3,5,2,1]=>[2,2,1,1]=>101011=>4 [3,1,4,2,6,5]=>[4,6,3,5,1,2]=>[2,2,2]=>101010=>5 [3,1,4,5,2,6]=>[4,6,3,2,5,1]=>[2,1,2,1]=>101101=>4 [3,1,4,5,6,2]=>[4,6,3,2,1,5]=>[2,1,1,2]=>101110=>3 [3,1,4,6,2,5]=>[4,6,3,1,5,2]=>[2,1,2,1]=>101101=>4 [3,1,4,6,5,2]=>[4,6,3,1,2,5]=>[2,1,3]=>101100=>3 [3,1,5,2,4,6]=>[4,6,2,5,3,1]=>[2,2,1,1]=>101011=>4 [3,1,5,2,6,4]=>[4,6,2,5,1,3]=>[2,2,2]=>101010=>5 [3,1,5,4,2,6]=>[4,6,2,3,5,1]=>[2,3,1]=>101001=>4 [3,1,5,4,6,2]=>[4,6,2,3,1,5]=>[2,2,2]=>101010=>5 [3,1,5,6,2,4]=>[4,6,2,1,5,3]=>[2,1,2,1]=>101101=>4 [3,1,5,6,4,2]=>[4,6,2,1,3,5]=>[2,1,3]=>101100=>3 [3,1,6,2,4,5]=>[4,6,1,5,3,2]=>[2,2,1,1]=>101011=>4 [3,1,6,2,5,4]=>[4,6,1,5,2,3]=>[2,2,2]=>101010=>5 [3,1,6,4,2,5]=>[4,6,1,3,5,2]=>[2,3,1]=>101001=>4 [3,1,6,4,5,2]=>[4,6,1,3,2,5]=>[2,2,2]=>101010=>5 [3,1,6,5,2,4]=>[4,6,1,2,5,3]=>[2,3,1]=>101001=>4 [3,1,6,5,4,2]=>[4,6,1,2,3,5]=>[2,4]=>101000=>3 [3,2,1,4,5,6]=>[4,5,6,3,2,1]=>[3,1,1,1]=>100111=>2 [3,2,1,4,6,5]=>[4,5,6,3,1,2]=>[3,1,2]=>100110=>3 [3,2,1,5,4,6]=>[4,5,6,2,3,1]=>[3,2,1]=>100101=>4 [3,2,1,5,6,4]=>[4,5,6,2,1,3]=>[3,1,2]=>100110=>3 [3,2,1,6,4,5]=>[4,5,6,1,3,2]=>[3,2,1]=>100101=>4 [3,2,1,6,5,4]=>[4,5,6,1,2,3]=>[3,3]=>100100=>3 [3,2,4,1,5,6]=>[4,5,3,6,2,1]=>[2,2,1,1]=>101011=>4 [3,2,4,1,6,5]=>[4,5,3,6,1,2]=>[2,2,2]=>101010=>5 [3,2,4,5,1,6]=>[4,5,3,2,6,1]=>[2,1,2,1]=>101101=>4 [3,2,4,5,6,1]=>[4,5,3,2,1,6]=>[2,1,1,2]=>101110=>3 [3,2,4,6,1,5]=>[4,5,3,1,6,2]=>[2,1,2,1]=>101101=>4 [3,2,4,6,5,1]=>[4,5,3,1,2,6]=>[2,1,3]=>101100=>3 [3,2,5,1,4,6]=>[4,5,2,6,3,1]=>[2,2,1,1]=>101011=>4 [3,2,5,1,6,4]=>[4,5,2,6,1,3]=>[2,2,2]=>101010=>5 [3,2,5,4,1,6]=>[4,5,2,3,6,1]=>[2,3,1]=>101001=>4 [3,2,5,4,6,1]=>[4,5,2,3,1,6]=>[2,2,2]=>101010=>5 [3,2,5,6,1,4]=>[4,5,2,1,6,3]=>[2,1,2,1]=>101101=>4 [3,2,5,6,4,1]=>[4,5,2,1,3,6]=>[2,1,3]=>101100=>3 [3,2,6,1,4,5]=>[4,5,1,6,3,2]=>[2,2,1,1]=>101011=>4 [3,2,6,1,5,4]=>[4,5,1,6,2,3]=>[2,2,2]=>101010=>5 [3,2,6,4,1,5]=>[4,5,1,3,6,2]=>[2,3,1]=>101001=>4 [3,2,6,4,5,1]=>[4,5,1,3,2,6]=>[2,2,2]=>101010=>5 [3,2,6,5,1,4]=>[4,5,1,2,6,3]=>[2,3,1]=>101001=>4 [3,2,6,5,4,1]=>[4,5,1,2,3,6]=>[2,4]=>101000=>3 [3,4,1,2,5,6]=>[4,3,6,5,2,1]=>[1,2,1,1,1]=>110111=>2 [3,4,1,2,6,5]=>[4,3,6,5,1,2]=>[1,2,1,2]=>110110=>3 [3,4,1,5,2,6]=>[4,3,6,2,5,1]=>[1,2,2,1]=>110101=>4 [3,4,1,5,6,2]=>[4,3,6,2,1,5]=>[1,2,1,2]=>110110=>3 [3,4,1,6,2,5]=>[4,3,6,1,5,2]=>[1,2,2,1]=>110101=>4 [3,4,1,6,5,2]=>[4,3,6,1,2,5]=>[1,2,3]=>110100=>3 [3,4,2,1,5,6]=>[4,3,5,6,2,1]=>[1,3,1,1]=>110011=>2 [3,4,2,1,6,5]=>[4,3,5,6,1,2]=>[1,3,2]=>110010=>3 [3,4,2,5,1,6]=>[4,3,5,2,6,1]=>[1,2,2,1]=>110101=>4 [3,4,2,5,6,1]=>[4,3,5,2,1,6]=>[1,2,1,2]=>110110=>3 [3,4,2,6,1,5]=>[4,3,5,1,6,2]=>[1,2,2,1]=>110101=>4 [3,4,2,6,5,1]=>[4,3,5,1,2,6]=>[1,2,3]=>110100=>3 [3,4,5,1,2,6]=>[4,3,2,6,5,1]=>[1,1,2,1,1]=>111011=>2 [3,4,5,1,6,2]=>[4,3,2,6,1,5]=>[1,1,2,2]=>111010=>3 [3,4,5,2,1,6]=>[4,3,2,5,6,1]=>[1,1,3,1]=>111001=>2 [3,4,5,2,6,1]=>[4,3,2,5,1,6]=>[1,1,2,2]=>111010=>3 [3,4,5,6,1,2]=>[4,3,2,1,6,5]=>[1,1,1,2,1]=>111101=>2 [3,4,5,6,2,1]=>[4,3,2,1,5,6]=>[1,1,1,3]=>111100=>1 [3,4,6,1,2,5]=>[4,3,1,6,5,2]=>[1,1,2,1,1]=>111011=>2 [3,4,6,1,5,2]=>[4,3,1,6,2,5]=>[1,1,2,2]=>111010=>3 [3,4,6,2,1,5]=>[4,3,1,5,6,2]=>[1,1,3,1]=>111001=>2 [3,4,6,2,5,1]=>[4,3,1,5,2,6]=>[1,1,2,2]=>111010=>3 [3,4,6,5,1,2]=>[4,3,1,2,6,5]=>[1,1,3,1]=>111001=>2 [3,4,6,5,2,1]=>[4,3,1,2,5,6]=>[1,1,4]=>111000=>1 [3,5,1,2,4,6]=>[4,2,6,5,3,1]=>[1,2,1,1,1]=>110111=>2 [3,5,1,2,6,4]=>[4,2,6,5,1,3]=>[1,2,1,2]=>110110=>3 [3,5,1,4,2,6]=>[4,2,6,3,5,1]=>[1,2,2,1]=>110101=>4 [3,5,1,4,6,2]=>[4,2,6,3,1,5]=>[1,2,1,2]=>110110=>3 [3,5,1,6,2,4]=>[4,2,6,1,5,3]=>[1,2,2,1]=>110101=>4 [3,5,1,6,4,2]=>[4,2,6,1,3,5]=>[1,2,3]=>110100=>3 [3,5,2,1,4,6]=>[4,2,5,6,3,1]=>[1,3,1,1]=>110011=>2 [3,5,2,1,6,4]=>[4,2,5,6,1,3]=>[1,3,2]=>110010=>3 [3,5,2,4,1,6]=>[4,2,5,3,6,1]=>[1,2,2,1]=>110101=>4 [3,5,2,4,6,1]=>[4,2,5,3,1,6]=>[1,2,1,2]=>110110=>3 [3,5,2,6,1,4]=>[4,2,5,1,6,3]=>[1,2,2,1]=>110101=>4 [3,5,2,6,4,1]=>[4,2,5,1,3,6]=>[1,2,3]=>110100=>3 [3,5,4,1,2,6]=>[4,2,3,6,5,1]=>[1,3,1,1]=>110011=>2 [3,5,4,1,6,2]=>[4,2,3,6,1,5]=>[1,3,2]=>110010=>3 [3,5,4,2,1,6]=>[4,2,3,5,6,1]=>[1,4,1]=>110001=>2 [3,5,4,2,6,1]=>[4,2,3,5,1,6]=>[1,3,2]=>110010=>3 [3,5,4,6,1,2]=>[4,2,3,1,6,5]=>[1,2,2,1]=>110101=>4 [3,5,4,6,2,1]=>[4,2,3,1,5,6]=>[1,2,3]=>110100=>3 [3,5,6,1,2,4]=>[4,2,1,6,5,3]=>[1,1,2,1,1]=>111011=>2 [3,5,6,1,4,2]=>[4,2,1,6,3,5]=>[1,1,2,2]=>111010=>3 [3,5,6,2,1,4]=>[4,2,1,5,6,3]=>[1,1,3,1]=>111001=>2 [3,5,6,2,4,1]=>[4,2,1,5,3,6]=>[1,1,2,2]=>111010=>3 [3,5,6,4,1,2]=>[4,2,1,3,6,5]=>[1,1,3,1]=>111001=>2 [3,5,6,4,2,1]=>[4,2,1,3,5,6]=>[1,1,4]=>111000=>1 [3,6,1,2,4,5]=>[4,1,6,5,3,2]=>[1,2,1,1,1]=>110111=>2 [3,6,1,2,5,4]=>[4,1,6,5,2,3]=>[1,2,1,2]=>110110=>3 [3,6,1,4,2,5]=>[4,1,6,3,5,2]=>[1,2,2,1]=>110101=>4 [3,6,1,4,5,2]=>[4,1,6,3,2,5]=>[1,2,1,2]=>110110=>3 [3,6,1,5,2,4]=>[4,1,6,2,5,3]=>[1,2,2,1]=>110101=>4 [3,6,1,5,4,2]=>[4,1,6,2,3,5]=>[1,2,3]=>110100=>3 [3,6,2,1,4,5]=>[4,1,5,6,3,2]=>[1,3,1,1]=>110011=>2 [3,6,2,1,5,4]=>[4,1,5,6,2,3]=>[1,3,2]=>110010=>3 [3,6,2,4,1,5]=>[4,1,5,3,6,2]=>[1,2,2,1]=>110101=>4 [3,6,2,4,5,1]=>[4,1,5,3,2,6]=>[1,2,1,2]=>110110=>3 [3,6,2,5,1,4]=>[4,1,5,2,6,3]=>[1,2,2,1]=>110101=>4 [3,6,2,5,4,1]=>[4,1,5,2,3,6]=>[1,2,3]=>110100=>3 [3,6,4,1,2,5]=>[4,1,3,6,5,2]=>[1,3,1,1]=>110011=>2 [3,6,4,1,5,2]=>[4,1,3,6,2,5]=>[1,3,2]=>110010=>3 [3,6,4,2,1,5]=>[4,1,3,5,6,2]=>[1,4,1]=>110001=>2 [3,6,4,2,5,1]=>[4,1,3,5,2,6]=>[1,3,2]=>110010=>3 [3,6,4,5,1,2]=>[4,1,3,2,6,5]=>[1,2,2,1]=>110101=>4 [3,6,4,5,2,1]=>[4,1,3,2,5,6]=>[1,2,3]=>110100=>3 [3,6,5,1,2,4]=>[4,1,2,6,5,3]=>[1,3,1,1]=>110011=>2 [3,6,5,1,4,2]=>[4,1,2,6,3,5]=>[1,3,2]=>110010=>3 [3,6,5,2,1,4]=>[4,1,2,5,6,3]=>[1,4,1]=>110001=>2 [3,6,5,2,4,1]=>[4,1,2,5,3,6]=>[1,3,2]=>110010=>3 [3,6,5,4,1,2]=>[4,1,2,3,6,5]=>[1,4,1]=>110001=>2 [3,6,5,4,2,1]=>[4,1,2,3,5,6]=>[1,5]=>110000=>1 [4,1,2,3,5,6]=>[3,6,5,4,2,1]=>[2,1,1,1,1]=>101111=>2 [4,1,2,3,6,5]=>[3,6,5,4,1,2]=>[2,1,1,2]=>101110=>3 [4,1,2,5,3,6]=>[3,6,5,2,4,1]=>[2,1,2,1]=>101101=>4 [4,1,2,5,6,3]=>[3,6,5,2,1,4]=>[2,1,1,2]=>101110=>3 [4,1,2,6,3,5]=>[3,6,5,1,4,2]=>[2,1,2,1]=>101101=>4 [4,1,2,6,5,3]=>[3,6,5,1,2,4]=>[2,1,3]=>101100=>3 [4,1,3,2,5,6]=>[3,6,4,5,2,1]=>[2,2,1,1]=>101011=>4 [4,1,3,2,6,5]=>[3,6,4,5,1,2]=>[2,2,2]=>101010=>5 [4,1,3,5,2,6]=>[3,6,4,2,5,1]=>[2,1,2,1]=>101101=>4 [4,1,3,5,6,2]=>[3,6,4,2,1,5]=>[2,1,1,2]=>101110=>3 [4,1,3,6,2,5]=>[3,6,4,1,5,2]=>[2,1,2,1]=>101101=>4 [4,1,3,6,5,2]=>[3,6,4,1,2,5]=>[2,1,3]=>101100=>3 [4,1,5,2,3,6]=>[3,6,2,5,4,1]=>[2,2,1,1]=>101011=>4 [4,1,5,2,6,3]=>[3,6,2,5,1,4]=>[2,2,2]=>101010=>5 [4,1,5,3,2,6]=>[3,6,2,4,5,1]=>[2,3,1]=>101001=>4 [4,1,5,3,6,2]=>[3,6,2,4,1,5]=>[2,2,2]=>101010=>5 [4,1,5,6,2,3]=>[3,6,2,1,5,4]=>[2,1,2,1]=>101101=>4 [4,1,5,6,3,2]=>[3,6,2,1,4,5]=>[2,1,3]=>101100=>3 [4,1,6,2,3,5]=>[3,6,1,5,4,2]=>[2,2,1,1]=>101011=>4 [4,1,6,2,5,3]=>[3,6,1,5,2,4]=>[2,2,2]=>101010=>5 [4,1,6,3,2,5]=>[3,6,1,4,5,2]=>[2,3,1]=>101001=>4 [4,1,6,3,5,2]=>[3,6,1,4,2,5]=>[2,2,2]=>101010=>5 [4,1,6,5,2,3]=>[3,6,1,2,5,4]=>[2,3,1]=>101001=>4 [4,1,6,5,3,2]=>[3,6,1,2,4,5]=>[2,4]=>101000=>3 [4,2,1,3,5,6]=>[3,5,6,4,2,1]=>[3,1,1,1]=>100111=>2 [4,2,1,3,6,5]=>[3,5,6,4,1,2]=>[3,1,2]=>100110=>3 [4,2,1,5,3,6]=>[3,5,6,2,4,1]=>[3,2,1]=>100101=>4 [4,2,1,5,6,3]=>[3,5,6,2,1,4]=>[3,1,2]=>100110=>3 [4,2,1,6,3,5]=>[3,5,6,1,4,2]=>[3,2,1]=>100101=>4 [4,2,1,6,5,3]=>[3,5,6,1,2,4]=>[3,3]=>100100=>3 [4,2,3,1,5,6]=>[3,5,4,6,2,1]=>[2,2,1,1]=>101011=>4 [4,2,3,1,6,5]=>[3,5,4,6,1,2]=>[2,2,2]=>101010=>5 [4,2,3,5,1,6]=>[3,5,4,2,6,1]=>[2,1,2,1]=>101101=>4 [4,2,3,5,6,1]=>[3,5,4,2,1,6]=>[2,1,1,2]=>101110=>3 [4,2,3,6,1,5]=>[3,5,4,1,6,2]=>[2,1,2,1]=>101101=>4 [4,2,3,6,5,1]=>[3,5,4,1,2,6]=>[2,1,3]=>101100=>3 [4,2,5,1,3,6]=>[3,5,2,6,4,1]=>[2,2,1,1]=>101011=>4 [4,2,5,1,6,3]=>[3,5,2,6,1,4]=>[2,2,2]=>101010=>5 [4,2,5,3,1,6]=>[3,5,2,4,6,1]=>[2,3,1]=>101001=>4 [4,2,5,3,6,1]=>[3,5,2,4,1,6]=>[2,2,2]=>101010=>5 [4,2,5,6,1,3]=>[3,5,2,1,6,4]=>[2,1,2,1]=>101101=>4 [4,2,5,6,3,1]=>[3,5,2,1,4,6]=>[2,1,3]=>101100=>3 [4,2,6,1,3,5]=>[3,5,1,6,4,2]=>[2,2,1,1]=>101011=>4 [4,2,6,1,5,3]=>[3,5,1,6,2,4]=>[2,2,2]=>101010=>5 [4,2,6,3,1,5]=>[3,5,1,4,6,2]=>[2,3,1]=>101001=>4 [4,2,6,3,5,1]=>[3,5,1,4,2,6]=>[2,2,2]=>101010=>5 [4,2,6,5,1,3]=>[3,5,1,2,6,4]=>[2,3,1]=>101001=>4 [4,2,6,5,3,1]=>[3,5,1,2,4,6]=>[2,4]=>101000=>3 [4,3,1,2,5,6]=>[3,4,6,5,2,1]=>[3,1,1,1]=>100111=>2 [4,3,1,2,6,5]=>[3,4,6,5,1,2]=>[3,1,2]=>100110=>3 [4,3,1,5,2,6]=>[3,4,6,2,5,1]=>[3,2,1]=>100101=>4 [4,3,1,5,6,2]=>[3,4,6,2,1,5]=>[3,1,2]=>100110=>3 [4,3,1,6,2,5]=>[3,4,6,1,5,2]=>[3,2,1]=>100101=>4 [4,3,1,6,5,2]=>[3,4,6,1,2,5]=>[3,3]=>100100=>3 [4,3,2,1,5,6]=>[3,4,5,6,2,1]=>[4,1,1]=>100011=>2 [4,3,2,1,6,5]=>[3,4,5,6,1,2]=>[4,2]=>100010=>3 [4,3,2,5,1,6]=>[3,4,5,2,6,1]=>[3,2,1]=>100101=>4 [4,3,2,5,6,1]=>[3,4,5,2,1,6]=>[3,1,2]=>100110=>3 [4,3,2,6,1,5]=>[3,4,5,1,6,2]=>[3,2,1]=>100101=>4 [4,3,2,6,5,1]=>[3,4,5,1,2,6]=>[3,3]=>100100=>3 [4,3,5,1,2,6]=>[3,4,2,6,5,1]=>[2,2,1,1]=>101011=>4 [4,3,5,1,6,2]=>[3,4,2,6,1,5]=>[2,2,2]=>101010=>5 [4,3,5,2,1,6]=>[3,4,2,5,6,1]=>[2,3,1]=>101001=>4 [4,3,5,2,6,1]=>[3,4,2,5,1,6]=>[2,2,2]=>101010=>5 [4,3,5,6,1,2]=>[3,4,2,1,6,5]=>[2,1,2,1]=>101101=>4 [4,3,5,6,2,1]=>[3,4,2,1,5,6]=>[2,1,3]=>101100=>3 [4,3,6,1,2,5]=>[3,4,1,6,5,2]=>[2,2,1,1]=>101011=>4 [4,3,6,1,5,2]=>[3,4,1,6,2,5]=>[2,2,2]=>101010=>5 [4,3,6,2,1,5]=>[3,4,1,5,6,2]=>[2,3,1]=>101001=>4 [4,3,6,2,5,1]=>[3,4,1,5,2,6]=>[2,2,2]=>101010=>5 [4,3,6,5,1,2]=>[3,4,1,2,6,5]=>[2,3,1]=>101001=>4 [4,3,6,5,2,1]=>[3,4,1,2,5,6]=>[2,4]=>101000=>3 [4,5,1,2,3,6]=>[3,2,6,5,4,1]=>[1,2,1,1,1]=>110111=>2 [4,5,1,2,6,3]=>[3,2,6,5,1,4]=>[1,2,1,2]=>110110=>3 [4,5,1,3,2,6]=>[3,2,6,4,5,1]=>[1,2,2,1]=>110101=>4 [4,5,1,3,6,2]=>[3,2,6,4,1,5]=>[1,2,1,2]=>110110=>3 [4,5,1,6,2,3]=>[3,2,6,1,5,4]=>[1,2,2,1]=>110101=>4 [4,5,1,6,3,2]=>[3,2,6,1,4,5]=>[1,2,3]=>110100=>3 [4,5,2,1,3,6]=>[3,2,5,6,4,1]=>[1,3,1,1]=>110011=>2 [4,5,2,1,6,3]=>[3,2,5,6,1,4]=>[1,3,2]=>110010=>3 [4,5,2,3,1,6]=>[3,2,5,4,6,1]=>[1,2,2,1]=>110101=>4 [4,5,2,3,6,1]=>[3,2,5,4,1,6]=>[1,2,1,2]=>110110=>3 [4,5,2,6,1,3]=>[3,2,5,1,6,4]=>[1,2,2,1]=>110101=>4 [4,5,2,6,3,1]=>[3,2,5,1,4,6]=>[1,2,3]=>110100=>3 [4,5,3,1,2,6]=>[3,2,4,6,5,1]=>[1,3,1,1]=>110011=>2 [4,5,3,1,6,2]=>[3,2,4,6,1,5]=>[1,3,2]=>110010=>3 [4,5,3,2,1,6]=>[3,2,4,5,6,1]=>[1,4,1]=>110001=>2 [4,5,3,2,6,1]=>[3,2,4,5,1,6]=>[1,3,2]=>110010=>3 [4,5,3,6,1,2]=>[3,2,4,1,6,5]=>[1,2,2,1]=>110101=>4 [4,5,3,6,2,1]=>[3,2,4,1,5,6]=>[1,2,3]=>110100=>3 [4,5,6,1,2,3]=>[3,2,1,6,5,4]=>[1,1,2,1,1]=>111011=>2 [4,5,6,1,3,2]=>[3,2,1,6,4,5]=>[1,1,2,2]=>111010=>3 [4,5,6,2,1,3]=>[3,2,1,5,6,4]=>[1,1,3,1]=>111001=>2 [4,5,6,2,3,1]=>[3,2,1,5,4,6]=>[1,1,2,2]=>111010=>3 [4,5,6,3,1,2]=>[3,2,1,4,6,5]=>[1,1,3,1]=>111001=>2 [4,5,6,3,2,1]=>[3,2,1,4,5,6]=>[1,1,4]=>111000=>1 [4,6,1,2,3,5]=>[3,1,6,5,4,2]=>[1,2,1,1,1]=>110111=>2 [4,6,1,2,5,3]=>[3,1,6,5,2,4]=>[1,2,1,2]=>110110=>3 [4,6,1,3,2,5]=>[3,1,6,4,5,2]=>[1,2,2,1]=>110101=>4 [4,6,1,3,5,2]=>[3,1,6,4,2,5]=>[1,2,1,2]=>110110=>3 [4,6,1,5,2,3]=>[3,1,6,2,5,4]=>[1,2,2,1]=>110101=>4 [4,6,1,5,3,2]=>[3,1,6,2,4,5]=>[1,2,3]=>110100=>3 [4,6,2,1,3,5]=>[3,1,5,6,4,2]=>[1,3,1,1]=>110011=>2 [4,6,2,1,5,3]=>[3,1,5,6,2,4]=>[1,3,2]=>110010=>3 [4,6,2,3,1,5]=>[3,1,5,4,6,2]=>[1,2,2,1]=>110101=>4 [4,6,2,3,5,1]=>[3,1,5,4,2,6]=>[1,2,1,2]=>110110=>3 [4,6,2,5,1,3]=>[3,1,5,2,6,4]=>[1,2,2,1]=>110101=>4 [4,6,2,5,3,1]=>[3,1,5,2,4,6]=>[1,2,3]=>110100=>3 [4,6,3,1,2,5]=>[3,1,4,6,5,2]=>[1,3,1,1]=>110011=>2 [4,6,3,1,5,2]=>[3,1,4,6,2,5]=>[1,3,2]=>110010=>3 [4,6,3,2,1,5]=>[3,1,4,5,6,2]=>[1,4,1]=>110001=>2 [4,6,3,2,5,1]=>[3,1,4,5,2,6]=>[1,3,2]=>110010=>3 [4,6,3,5,1,2]=>[3,1,4,2,6,5]=>[1,2,2,1]=>110101=>4 [4,6,3,5,2,1]=>[3,1,4,2,5,6]=>[1,2,3]=>110100=>3 [4,6,5,1,2,3]=>[3,1,2,6,5,4]=>[1,3,1,1]=>110011=>2 [4,6,5,1,3,2]=>[3,1,2,6,4,5]=>[1,3,2]=>110010=>3 [4,6,5,2,1,3]=>[3,1,2,5,6,4]=>[1,4,1]=>110001=>2 [4,6,5,2,3,1]=>[3,1,2,5,4,6]=>[1,3,2]=>110010=>3 [4,6,5,3,1,2]=>[3,1,2,4,6,5]=>[1,4,1]=>110001=>2 [4,6,5,3,2,1]=>[3,1,2,4,5,6]=>[1,5]=>110000=>1 [5,1,2,3,4,6]=>[2,6,5,4,3,1]=>[2,1,1,1,1]=>101111=>2 [5,1,2,3,6,4]=>[2,6,5,4,1,3]=>[2,1,1,2]=>101110=>3 [5,1,2,4,3,6]=>[2,6,5,3,4,1]=>[2,1,2,1]=>101101=>4 [5,1,2,4,6,3]=>[2,6,5,3,1,4]=>[2,1,1,2]=>101110=>3 [5,1,2,6,3,4]=>[2,6,5,1,4,3]=>[2,1,2,1]=>101101=>4 [5,1,2,6,4,3]=>[2,6,5,1,3,4]=>[2,1,3]=>101100=>3 [5,1,3,2,4,6]=>[2,6,4,5,3,1]=>[2,2,1,1]=>101011=>4 [5,1,3,2,6,4]=>[2,6,4,5,1,3]=>[2,2,2]=>101010=>5 [5,1,3,4,2,6]=>[2,6,4,3,5,1]=>[2,1,2,1]=>101101=>4 [5,1,3,4,6,2]=>[2,6,4,3,1,5]=>[2,1,1,2]=>101110=>3 [5,1,3,6,2,4]=>[2,6,4,1,5,3]=>[2,1,2,1]=>101101=>4 [5,1,3,6,4,2]=>[2,6,4,1,3,5]=>[2,1,3]=>101100=>3 [5,1,4,2,3,6]=>[2,6,3,5,4,1]=>[2,2,1,1]=>101011=>4 [5,1,4,2,6,3]=>[2,6,3,5,1,4]=>[2,2,2]=>101010=>5 [5,1,4,3,2,6]=>[2,6,3,4,5,1]=>[2,3,1]=>101001=>4 [5,1,4,3,6,2]=>[2,6,3,4,1,5]=>[2,2,2]=>101010=>5 [5,1,4,6,2,3]=>[2,6,3,1,5,4]=>[2,1,2,1]=>101101=>4 [5,1,4,6,3,2]=>[2,6,3,1,4,5]=>[2,1,3]=>101100=>3 [5,1,6,2,3,4]=>[2,6,1,5,4,3]=>[2,2,1,1]=>101011=>4 [5,1,6,2,4,3]=>[2,6,1,5,3,4]=>[2,2,2]=>101010=>5 [5,1,6,3,2,4]=>[2,6,1,4,5,3]=>[2,3,1]=>101001=>4 [5,1,6,3,4,2]=>[2,6,1,4,3,5]=>[2,2,2]=>101010=>5 [5,1,6,4,2,3]=>[2,6,1,3,5,4]=>[2,3,1]=>101001=>4 [5,1,6,4,3,2]=>[2,6,1,3,4,5]=>[2,4]=>101000=>3 [5,2,1,3,4,6]=>[2,5,6,4,3,1]=>[3,1,1,1]=>100111=>2 [5,2,1,3,6,4]=>[2,5,6,4,1,3]=>[3,1,2]=>100110=>3 [5,2,1,4,3,6]=>[2,5,6,3,4,1]=>[3,2,1]=>100101=>4 [5,2,1,4,6,3]=>[2,5,6,3,1,4]=>[3,1,2]=>100110=>3 [5,2,1,6,3,4]=>[2,5,6,1,4,3]=>[3,2,1]=>100101=>4 [5,2,1,6,4,3]=>[2,5,6,1,3,4]=>[3,3]=>100100=>3 [5,2,3,1,4,6]=>[2,5,4,6,3,1]=>[2,2,1,1]=>101011=>4 [5,2,3,1,6,4]=>[2,5,4,6,1,3]=>[2,2,2]=>101010=>5 [5,2,3,4,1,6]=>[2,5,4,3,6,1]=>[2,1,2,1]=>101101=>4 [5,2,3,4,6,1]=>[2,5,4,3,1,6]=>[2,1,1,2]=>101110=>3 [5,2,3,6,1,4]=>[2,5,4,1,6,3]=>[2,1,2,1]=>101101=>4 [5,2,3,6,4,1]=>[2,5,4,1,3,6]=>[2,1,3]=>101100=>3 [5,2,4,1,3,6]=>[2,5,3,6,4,1]=>[2,2,1,1]=>101011=>4 [5,2,4,1,6,3]=>[2,5,3,6,1,4]=>[2,2,2]=>101010=>5 [5,2,4,3,1,6]=>[2,5,3,4,6,1]=>[2,3,1]=>101001=>4 [5,2,4,3,6,1]=>[2,5,3,4,1,6]=>[2,2,2]=>101010=>5 [5,2,4,6,1,3]=>[2,5,3,1,6,4]=>[2,1,2,1]=>101101=>4 [5,2,4,6,3,1]=>[2,5,3,1,4,6]=>[2,1,3]=>101100=>3 [5,2,6,1,3,4]=>[2,5,1,6,4,3]=>[2,2,1,1]=>101011=>4 [5,2,6,1,4,3]=>[2,5,1,6,3,4]=>[2,2,2]=>101010=>5 [5,2,6,3,1,4]=>[2,5,1,4,6,3]=>[2,3,1]=>101001=>4 [5,2,6,3,4,1]=>[2,5,1,4,3,6]=>[2,2,2]=>101010=>5 [5,2,6,4,1,3]=>[2,5,1,3,6,4]=>[2,3,1]=>101001=>4 [5,2,6,4,3,1]=>[2,5,1,3,4,6]=>[2,4]=>101000=>3 [5,3,1,2,4,6]=>[2,4,6,5,3,1]=>[3,1,1,1]=>100111=>2 [5,3,1,2,6,4]=>[2,4,6,5,1,3]=>[3,1,2]=>100110=>3 [5,3,1,4,2,6]=>[2,4,6,3,5,1]=>[3,2,1]=>100101=>4 [5,3,1,4,6,2]=>[2,4,6,3,1,5]=>[3,1,2]=>100110=>3 [5,3,1,6,2,4]=>[2,4,6,1,5,3]=>[3,2,1]=>100101=>4 [5,3,1,6,4,2]=>[2,4,6,1,3,5]=>[3,3]=>100100=>3 [5,3,2,1,4,6]=>[2,4,5,6,3,1]=>[4,1,1]=>100011=>2 [5,3,2,1,6,4]=>[2,4,5,6,1,3]=>[4,2]=>100010=>3 [5,3,2,4,1,6]=>[2,4,5,3,6,1]=>[3,2,1]=>100101=>4 [5,3,2,4,6,1]=>[2,4,5,3,1,6]=>[3,1,2]=>100110=>3 [5,3,2,6,1,4]=>[2,4,5,1,6,3]=>[3,2,1]=>100101=>4 [5,3,2,6,4,1]=>[2,4,5,1,3,6]=>[3,3]=>100100=>3 [5,3,4,1,2,6]=>[2,4,3,6,5,1]=>[2,2,1,1]=>101011=>4 [5,3,4,1,6,2]=>[2,4,3,6,1,5]=>[2,2,2]=>101010=>5 [5,3,4,2,1,6]=>[2,4,3,5,6,1]=>[2,3,1]=>101001=>4 [5,3,4,2,6,1]=>[2,4,3,5,1,6]=>[2,2,2]=>101010=>5 [5,3,4,6,1,2]=>[2,4,3,1,6,5]=>[2,1,2,1]=>101101=>4 [5,3,4,6,2,1]=>[2,4,3,1,5,6]=>[2,1,3]=>101100=>3 [5,3,6,1,2,4]=>[2,4,1,6,5,3]=>[2,2,1,1]=>101011=>4 [5,3,6,1,4,2]=>[2,4,1,6,3,5]=>[2,2,2]=>101010=>5 [5,3,6,2,1,4]=>[2,4,1,5,6,3]=>[2,3,1]=>101001=>4 [5,3,6,2,4,1]=>[2,4,1,5,3,6]=>[2,2,2]=>101010=>5 [5,3,6,4,1,2]=>[2,4,1,3,6,5]=>[2,3,1]=>101001=>4 [5,3,6,4,2,1]=>[2,4,1,3,5,6]=>[2,4]=>101000=>3 [5,4,1,2,3,6]=>[2,3,6,5,4,1]=>[3,1,1,1]=>100111=>2 [5,4,1,2,6,3]=>[2,3,6,5,1,4]=>[3,1,2]=>100110=>3 [5,4,1,3,2,6]=>[2,3,6,4,5,1]=>[3,2,1]=>100101=>4 [5,4,1,3,6,2]=>[2,3,6,4,1,5]=>[3,1,2]=>100110=>3 [5,4,1,6,2,3]=>[2,3,6,1,5,4]=>[3,2,1]=>100101=>4 [5,4,1,6,3,2]=>[2,3,6,1,4,5]=>[3,3]=>100100=>3 [5,4,2,1,3,6]=>[2,3,5,6,4,1]=>[4,1,1]=>100011=>2 [5,4,2,1,6,3]=>[2,3,5,6,1,4]=>[4,2]=>100010=>3 [5,4,2,3,1,6]=>[2,3,5,4,6,1]=>[3,2,1]=>100101=>4 [5,4,2,3,6,1]=>[2,3,5,4,1,6]=>[3,1,2]=>100110=>3 [5,4,2,6,1,3]=>[2,3,5,1,6,4]=>[3,2,1]=>100101=>4 [5,4,2,6,3,1]=>[2,3,5,1,4,6]=>[3,3]=>100100=>3 [5,4,3,1,2,6]=>[2,3,4,6,5,1]=>[4,1,1]=>100011=>2 [5,4,3,1,6,2]=>[2,3,4,6,1,5]=>[4,2]=>100010=>3 [5,4,3,2,1,6]=>[2,3,4,5,6,1]=>[5,1]=>100001=>2 [5,4,3,2,6,1]=>[2,3,4,5,1,6]=>[4,2]=>100010=>3 [5,4,3,6,1,2]=>[2,3,4,1,6,5]=>[3,2,1]=>100101=>4 [5,4,3,6,2,1]=>[2,3,4,1,5,6]=>[3,3]=>100100=>3 [5,4,6,1,2,3]=>[2,3,1,6,5,4]=>[2,2,1,1]=>101011=>4 [5,4,6,1,3,2]=>[2,3,1,6,4,5]=>[2,2,2]=>101010=>5 [5,4,6,2,1,3]=>[2,3,1,5,6,4]=>[2,3,1]=>101001=>4 [5,4,6,2,3,1]=>[2,3,1,5,4,6]=>[2,2,2]=>101010=>5 [5,4,6,3,1,2]=>[2,3,1,4,6,5]=>[2,3,1]=>101001=>4 [5,4,6,3,2,1]=>[2,3,1,4,5,6]=>[2,4]=>101000=>3 [5,6,1,2,3,4]=>[2,1,6,5,4,3]=>[1,2,1,1,1]=>110111=>2 [5,6,1,2,4,3]=>[2,1,6,5,3,4]=>[1,2,1,2]=>110110=>3 [5,6,1,3,2,4]=>[2,1,6,4,5,3]=>[1,2,2,1]=>110101=>4 [5,6,1,3,4,2]=>[2,1,6,4,3,5]=>[1,2,1,2]=>110110=>3 [5,6,1,4,2,3]=>[2,1,6,3,5,4]=>[1,2,2,1]=>110101=>4 [5,6,1,4,3,2]=>[2,1,6,3,4,5]=>[1,2,3]=>110100=>3 [5,6,2,1,3,4]=>[2,1,5,6,4,3]=>[1,3,1,1]=>110011=>2 [5,6,2,1,4,3]=>[2,1,5,6,3,4]=>[1,3,2]=>110010=>3 [5,6,2,3,1,4]=>[2,1,5,4,6,3]=>[1,2,2,1]=>110101=>4 [5,6,2,3,4,1]=>[2,1,5,4,3,6]=>[1,2,1,2]=>110110=>3 [5,6,2,4,1,3]=>[2,1,5,3,6,4]=>[1,2,2,1]=>110101=>4 [5,6,2,4,3,1]=>[2,1,5,3,4,6]=>[1,2,3]=>110100=>3 [5,6,3,1,2,4]=>[2,1,4,6,5,3]=>[1,3,1,1]=>110011=>2 [5,6,3,1,4,2]=>[2,1,4,6,3,5]=>[1,3,2]=>110010=>3 [5,6,3,2,1,4]=>[2,1,4,5,6,3]=>[1,4,1]=>110001=>2 [5,6,3,2,4,1]=>[2,1,4,5,3,6]=>[1,3,2]=>110010=>3 [5,6,3,4,1,2]=>[2,1,4,3,6,5]=>[1,2,2,1]=>110101=>4 [5,6,3,4,2,1]=>[2,1,4,3,5,6]=>[1,2,3]=>110100=>3 [5,6,4,1,2,3]=>[2,1,3,6,5,4]=>[1,3,1,1]=>110011=>2 [5,6,4,1,3,2]=>[2,1,3,6,4,5]=>[1,3,2]=>110010=>3 [5,6,4,2,1,3]=>[2,1,3,5,6,4]=>[1,4,1]=>110001=>2 [5,6,4,2,3,1]=>[2,1,3,5,4,6]=>[1,3,2]=>110010=>3 [5,6,4,3,1,2]=>[2,1,3,4,6,5]=>[1,4,1]=>110001=>2 [5,6,4,3,2,1]=>[2,1,3,4,5,6]=>[1,5]=>110000=>1 [6,1,2,3,4,5]=>[1,6,5,4,3,2]=>[2,1,1,1,1]=>101111=>2 [6,1,2,3,5,4]=>[1,6,5,4,2,3]=>[2,1,1,2]=>101110=>3 [6,1,2,4,3,5]=>[1,6,5,3,4,2]=>[2,1,2,1]=>101101=>4 [6,1,2,4,5,3]=>[1,6,5,3,2,4]=>[2,1,1,2]=>101110=>3 [6,1,2,5,3,4]=>[1,6,5,2,4,3]=>[2,1,2,1]=>101101=>4 [6,1,2,5,4,3]=>[1,6,5,2,3,4]=>[2,1,3]=>101100=>3 [6,1,3,2,4,5]=>[1,6,4,5,3,2]=>[2,2,1,1]=>101011=>4 [6,1,3,2,5,4]=>[1,6,4,5,2,3]=>[2,2,2]=>101010=>5 [6,1,3,4,2,5]=>[1,6,4,3,5,2]=>[2,1,2,1]=>101101=>4 [6,1,3,4,5,2]=>[1,6,4,3,2,5]=>[2,1,1,2]=>101110=>3 [6,1,3,5,2,4]=>[1,6,4,2,5,3]=>[2,1,2,1]=>101101=>4 [6,1,3,5,4,2]=>[1,6,4,2,3,5]=>[2,1,3]=>101100=>3 [6,1,4,2,3,5]=>[1,6,3,5,4,2]=>[2,2,1,1]=>101011=>4 [6,1,4,2,5,3]=>[1,6,3,5,2,4]=>[2,2,2]=>101010=>5 [6,1,4,3,2,5]=>[1,6,3,4,5,2]=>[2,3,1]=>101001=>4 [6,1,4,3,5,2]=>[1,6,3,4,2,5]=>[2,2,2]=>101010=>5 [6,1,4,5,2,3]=>[1,6,3,2,5,4]=>[2,1,2,1]=>101101=>4 [6,1,4,5,3,2]=>[1,6,3,2,4,5]=>[2,1,3]=>101100=>3 [6,1,5,2,3,4]=>[1,6,2,5,4,3]=>[2,2,1,1]=>101011=>4 [6,1,5,2,4,3]=>[1,6,2,5,3,4]=>[2,2,2]=>101010=>5 [6,1,5,3,2,4]=>[1,6,2,4,5,3]=>[2,3,1]=>101001=>4 [6,1,5,3,4,2]=>[1,6,2,4,3,5]=>[2,2,2]=>101010=>5 [6,1,5,4,2,3]=>[1,6,2,3,5,4]=>[2,3,1]=>101001=>4 [6,1,5,4,3,2]=>[1,6,2,3,4,5]=>[2,4]=>101000=>3 [6,2,1,3,4,5]=>[1,5,6,4,3,2]=>[3,1,1,1]=>100111=>2 [6,2,1,3,5,4]=>[1,5,6,4,2,3]=>[3,1,2]=>100110=>3 [6,2,1,4,3,5]=>[1,5,6,3,4,2]=>[3,2,1]=>100101=>4 [6,2,1,4,5,3]=>[1,5,6,3,2,4]=>[3,1,2]=>100110=>3 [6,2,1,5,3,4]=>[1,5,6,2,4,3]=>[3,2,1]=>100101=>4 [6,2,1,5,4,3]=>[1,5,6,2,3,4]=>[3,3]=>100100=>3 [6,2,3,1,4,5]=>[1,5,4,6,3,2]=>[2,2,1,1]=>101011=>4 [6,2,3,1,5,4]=>[1,5,4,6,2,3]=>[2,2,2]=>101010=>5 [6,2,3,4,1,5]=>[1,5,4,3,6,2]=>[2,1,2,1]=>101101=>4 [6,2,3,4,5,1]=>[1,5,4,3,2,6]=>[2,1,1,2]=>101110=>3 [6,2,3,5,1,4]=>[1,5,4,2,6,3]=>[2,1,2,1]=>101101=>4 [6,2,3,5,4,1]=>[1,5,4,2,3,6]=>[2,1,3]=>101100=>3 [6,2,4,1,3,5]=>[1,5,3,6,4,2]=>[2,2,1,1]=>101011=>4 [6,2,4,1,5,3]=>[1,5,3,6,2,4]=>[2,2,2]=>101010=>5 [6,2,4,3,1,5]=>[1,5,3,4,6,2]=>[2,3,1]=>101001=>4 [6,2,4,3,5,1]=>[1,5,3,4,2,6]=>[2,2,2]=>101010=>5 [6,2,4,5,1,3]=>[1,5,3,2,6,4]=>[2,1,2,1]=>101101=>4 [6,2,4,5,3,1]=>[1,5,3,2,4,6]=>[2,1,3]=>101100=>3 [6,2,5,1,3,4]=>[1,5,2,6,4,3]=>[2,2,1,1]=>101011=>4 [6,2,5,1,4,3]=>[1,5,2,6,3,4]=>[2,2,2]=>101010=>5 [6,2,5,3,1,4]=>[1,5,2,4,6,3]=>[2,3,1]=>101001=>4 [6,2,5,3,4,1]=>[1,5,2,4,3,6]=>[2,2,2]=>101010=>5 [6,2,5,4,1,3]=>[1,5,2,3,6,4]=>[2,3,1]=>101001=>4 [6,2,5,4,3,1]=>[1,5,2,3,4,6]=>[2,4]=>101000=>3 [6,3,1,2,4,5]=>[1,4,6,5,3,2]=>[3,1,1,1]=>100111=>2 [6,3,1,2,5,4]=>[1,4,6,5,2,3]=>[3,1,2]=>100110=>3 [6,3,1,4,2,5]=>[1,4,6,3,5,2]=>[3,2,1]=>100101=>4 [6,3,1,4,5,2]=>[1,4,6,3,2,5]=>[3,1,2]=>100110=>3 [6,3,1,5,2,4]=>[1,4,6,2,5,3]=>[3,2,1]=>100101=>4 [6,3,1,5,4,2]=>[1,4,6,2,3,5]=>[3,3]=>100100=>3 [6,3,2,1,4,5]=>[1,4,5,6,3,2]=>[4,1,1]=>100011=>2 [6,3,2,1,5,4]=>[1,4,5,6,2,3]=>[4,2]=>100010=>3 [6,3,2,4,1,5]=>[1,4,5,3,6,2]=>[3,2,1]=>100101=>4 [6,3,2,4,5,1]=>[1,4,5,3,2,6]=>[3,1,2]=>100110=>3 [6,3,2,5,1,4]=>[1,4,5,2,6,3]=>[3,2,1]=>100101=>4 [6,3,2,5,4,1]=>[1,4,5,2,3,6]=>[3,3]=>100100=>3 [6,3,4,1,2,5]=>[1,4,3,6,5,2]=>[2,2,1,1]=>101011=>4 [6,3,4,1,5,2]=>[1,4,3,6,2,5]=>[2,2,2]=>101010=>5 [6,3,4,2,1,5]=>[1,4,3,5,6,2]=>[2,3,1]=>101001=>4 [6,3,4,2,5,1]=>[1,4,3,5,2,6]=>[2,2,2]=>101010=>5 [6,3,4,5,1,2]=>[1,4,3,2,6,5]=>[2,1,2,1]=>101101=>4 [6,3,4,5,2,1]=>[1,4,3,2,5,6]=>[2,1,3]=>101100=>3 [6,3,5,1,2,4]=>[1,4,2,6,5,3]=>[2,2,1,1]=>101011=>4 [6,3,5,1,4,2]=>[1,4,2,6,3,5]=>[2,2,2]=>101010=>5 [6,3,5,2,1,4]=>[1,4,2,5,6,3]=>[2,3,1]=>101001=>4 [6,3,5,2,4,1]=>[1,4,2,5,3,6]=>[2,2,2]=>101010=>5 [6,3,5,4,1,2]=>[1,4,2,3,6,5]=>[2,3,1]=>101001=>4 [6,3,5,4,2,1]=>[1,4,2,3,5,6]=>[2,4]=>101000=>3 [6,4,1,2,3,5]=>[1,3,6,5,4,2]=>[3,1,1,1]=>100111=>2 [6,4,1,2,5,3]=>[1,3,6,5,2,4]=>[3,1,2]=>100110=>3 [6,4,1,3,2,5]=>[1,3,6,4,5,2]=>[3,2,1]=>100101=>4 [6,4,1,3,5,2]=>[1,3,6,4,2,5]=>[3,1,2]=>100110=>3 [6,4,1,5,2,3]=>[1,3,6,2,5,4]=>[3,2,1]=>100101=>4 [6,4,1,5,3,2]=>[1,3,6,2,4,5]=>[3,3]=>100100=>3 [6,4,2,1,3,5]=>[1,3,5,6,4,2]=>[4,1,1]=>100011=>2 [6,4,2,1,5,3]=>[1,3,5,6,2,4]=>[4,2]=>100010=>3 [6,4,2,3,1,5]=>[1,3,5,4,6,2]=>[3,2,1]=>100101=>4 [6,4,2,3,5,1]=>[1,3,5,4,2,6]=>[3,1,2]=>100110=>3 [6,4,2,5,1,3]=>[1,3,5,2,6,4]=>[3,2,1]=>100101=>4 [6,4,2,5,3,1]=>[1,3,5,2,4,6]=>[3,3]=>100100=>3 [6,4,3,1,2,5]=>[1,3,4,6,5,2]=>[4,1,1]=>100011=>2 [6,4,3,1,5,2]=>[1,3,4,6,2,5]=>[4,2]=>100010=>3 [6,4,3,2,1,5]=>[1,3,4,5,6,2]=>[5,1]=>100001=>2 [6,4,3,2,5,1]=>[1,3,4,5,2,6]=>[4,2]=>100010=>3 [6,4,3,5,1,2]=>[1,3,4,2,6,5]=>[3,2,1]=>100101=>4 [6,4,3,5,2,1]=>[1,3,4,2,5,6]=>[3,3]=>100100=>3 [6,4,5,1,2,3]=>[1,3,2,6,5,4]=>[2,2,1,1]=>101011=>4 [6,4,5,1,3,2]=>[1,3,2,6,4,5]=>[2,2,2]=>101010=>5 [6,4,5,2,1,3]=>[1,3,2,5,6,4]=>[2,3,1]=>101001=>4 [6,4,5,2,3,1]=>[1,3,2,5,4,6]=>[2,2,2]=>101010=>5 [6,4,5,3,1,2]=>[1,3,2,4,6,5]=>[2,3,1]=>101001=>4 [6,4,5,3,2,1]=>[1,3,2,4,5,6]=>[2,4]=>101000=>3 [6,5,1,2,3,4]=>[1,2,6,5,4,3]=>[3,1,1,1]=>100111=>2 [6,5,1,2,4,3]=>[1,2,6,5,3,4]=>[3,1,2]=>100110=>3 [6,5,1,3,2,4]=>[1,2,6,4,5,3]=>[3,2,1]=>100101=>4 [6,5,1,3,4,2]=>[1,2,6,4,3,5]=>[3,1,2]=>100110=>3 [6,5,1,4,2,3]=>[1,2,6,3,5,4]=>[3,2,1]=>100101=>4 [6,5,1,4,3,2]=>[1,2,6,3,4,5]=>[3,3]=>100100=>3 [6,5,2,1,3,4]=>[1,2,5,6,4,3]=>[4,1,1]=>100011=>2 [6,5,2,1,4,3]=>[1,2,5,6,3,4]=>[4,2]=>100010=>3 [6,5,2,3,1,4]=>[1,2,5,4,6,3]=>[3,2,1]=>100101=>4 [6,5,2,3,4,1]=>[1,2,5,4,3,6]=>[3,1,2]=>100110=>3 [6,5,2,4,1,3]=>[1,2,5,3,6,4]=>[3,2,1]=>100101=>4 [6,5,2,4,3,1]=>[1,2,5,3,4,6]=>[3,3]=>100100=>3 [6,5,3,1,2,4]=>[1,2,4,6,5,3]=>[4,1,1]=>100011=>2 [6,5,3,1,4,2]=>[1,2,4,6,3,5]=>[4,2]=>100010=>3 [6,5,3,2,1,4]=>[1,2,4,5,6,3]=>[5,1]=>100001=>2 [6,5,3,2,4,1]=>[1,2,4,5,3,6]=>[4,2]=>100010=>3 [6,5,3,4,1,2]=>[1,2,4,3,6,5]=>[3,2,1]=>100101=>4 [6,5,3,4,2,1]=>[1,2,4,3,5,6]=>[3,3]=>100100=>3 [6,5,4,1,2,3]=>[1,2,3,6,5,4]=>[4,1,1]=>100011=>2 [6,5,4,1,3,2]=>[1,2,3,6,4,5]=>[4,2]=>100010=>3 [6,5,4,2,1,3]=>[1,2,3,5,6,4]=>[5,1]=>100001=>2 [6,5,4,2,3,1]=>[1,2,3,5,4,6]=>[4,2]=>100010=>3 [6,5,4,3,1,2]=>[1,2,3,4,6,5]=>[5,1]=>100001=>2 [6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[6]=>100000=>1 [1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1]=>1111111=>0 [1,2,3,4,5,7,6]=>[7,6,5,4,3,1,2]=>[1,1,1,1,1,2]=>1111110=>1 [1,2,3,4,6,5,7]=>[7,6,5,4,2,3,1]=>[1,1,1,1,2,1]=>1111101=>2 [1,2,3,4,6,7,5]=>[7,6,5,4,2,1,3]=>[1,1,1,1,1,2]=>1111110=>1 [1,2,3,4,7,5,6]=>[7,6,5,4,1,3,2]=>[1,1,1,1,2,1]=>1111101=>2 [1,2,3,4,7,6,5]=>[7,6,5,4,1,2,3]=>[1,1,1,1,3]=>1111100=>1 [1,2,3,5,4,6,7]=>[7,6,5,3,4,2,1]=>[1,1,1,2,1,1]=>1111011=>2 [1,2,3,5,4,7,6]=>[7,6,5,3,4,1,2]=>[1,1,1,2,2]=>1111010=>3 [1,2,3,5,6,4,7]=>[7,6,5,3,2,4,1]=>[1,1,1,1,2,1]=>1111101=>2 [1,2,3,5,6,7,4]=>[7,6,5,3,2,1,4]=>[1,1,1,1,1,2]=>1111110=>1 [1,2,3,5,7,4,6]=>[7,6,5,3,1,4,2]=>[1,1,1,1,2,1]=>1111101=>2 [1,2,3,5,7,6,4]=>[7,6,5,3,1,2,4]=>[1,1,1,1,3]=>1111100=>1 [1,2,3,6,4,5,7]=>[7,6,5,2,4,3,1]=>[1,1,1,2,1,1]=>1111011=>2 [1,2,3,6,4,7,5]=>[7,6,5,2,4,1,3]=>[1,1,1,2,2]=>1111010=>3 [1,2,3,6,5,4,7]=>[7,6,5,2,3,4,1]=>[1,1,1,3,1]=>1111001=>2 [1,2,3,6,5,7,4]=>[7,6,5,2,3,1,4]=>[1,1,1,2,2]=>1111010=>3 [1,2,3,6,7,4,5]=>[7,6,5,2,1,4,3]=>[1,1,1,1,2,1]=>1111101=>2 [1,2,3,6,7,5,4]=>[7,6,5,2,1,3,4]=>[1,1,1,1,3]=>1111100=>1 [1,2,3,7,4,5,6]=>[7,6,5,1,4,3,2]=>[1,1,1,2,1,1]=>1111011=>2 [1,2,3,7,4,6,5]=>[7,6,5,1,4,2,3]=>[1,1,1,2,2]=>1111010=>3 [1,2,3,7,5,4,6]=>[7,6,5,1,3,4,2]=>[1,1,1,3,1]=>1111001=>2 [1,2,3,7,5,6,4]=>[7,6,5,1,3,2,4]=>[1,1,1,2,2]=>1111010=>3 [1,2,3,7,6,4,5]=>[7,6,5,1,2,4,3]=>[1,1,1,3,1]=>1111001=>2 [1,2,3,7,6,5,4]=>[7,6,5,1,2,3,4]=>[1,1,1,4]=>1111000=>1 [1,2,4,3,5,6,7]=>[7,6,4,5,3,2,1]=>[1,1,2,1,1,1]=>1110111=>2 [1,2,4,3,5,7,6]=>[7,6,4,5,3,1,2]=>[1,1,2,1,2]=>1110110=>3 [1,2,4,3,6,5,7]=>[7,6,4,5,2,3,1]=>[1,1,2,2,1]=>1110101=>4 [1,2,4,3,6,7,5]=>[7,6,4,5,2,1,3]=>[1,1,2,1,2]=>1110110=>3 [1,2,4,3,7,5,6]=>[7,6,4,5,1,3,2]=>[1,1,2,2,1]=>1110101=>4 [1,2,4,3,7,6,5]=>[7,6,4,5,1,2,3]=>[1,1,2,3]=>1110100=>3 [1,2,4,5,3,6,7]=>[7,6,4,3,5,2,1]=>[1,1,1,2,1,1]=>1111011=>2 [1,2,4,5,3,7,6]=>[7,6,4,3,5,1,2]=>[1,1,1,2,2]=>1111010=>3 [1,2,4,5,6,3,7]=>[7,6,4,3,2,5,1]=>[1,1,1,1,2,1]=>1111101=>2 [1,2,4,5,6,7,3]=>[7,6,4,3,2,1,5]=>[1,1,1,1,1,2]=>1111110=>1 [1,2,4,5,7,3,6]=>[7,6,4,3,1,5,2]=>[1,1,1,1,2,1]=>1111101=>2 [1,2,4,5,7,6,3]=>[7,6,4,3,1,2,5]=>[1,1,1,1,3]=>1111100=>1 [1,2,4,6,3,5,7]=>[7,6,4,2,5,3,1]=>[1,1,1,2,1,1]=>1111011=>2 [1,2,4,6,3,7,5]=>[7,6,4,2,5,1,3]=>[1,1,1,2,2]=>1111010=>3 [1,2,4,6,5,3,7]=>[7,6,4,2,3,5,1]=>[1,1,1,3,1]=>1111001=>2 [1,2,4,6,5,7,3]=>[7,6,4,2,3,1,5]=>[1,1,1,2,2]=>1111010=>3 [1,2,4,6,7,3,5]=>[7,6,4,2,1,5,3]=>[1,1,1,1,2,1]=>1111101=>2 [1,2,4,6,7,5,3]=>[7,6,4,2,1,3,5]=>[1,1,1,1,3]=>1111100=>1 [1,2,4,7,3,5,6]=>[7,6,4,1,5,3,2]=>[1,1,1,2,1,1]=>1111011=>2 [1,2,4,7,3,6,5]=>[7,6,4,1,5,2,3]=>[1,1,1,2,2]=>1111010=>3 [1,2,4,7,5,3,6]=>[7,6,4,1,3,5,2]=>[1,1,1,3,1]=>1111001=>2 [1,2,4,7,5,6,3]=>[7,6,4,1,3,2,5]=>[1,1,1,2,2]=>1111010=>3 [1,2,4,7,6,3,5]=>[7,6,4,1,2,5,3]=>[1,1,1,3,1]=>1111001=>2 [1,2,4,7,6,5,3]=>[7,6,4,1,2,3,5]=>[1,1,1,4]=>1111000=>1 [1,2,5,3,4,6,7]=>[7,6,3,5,4,2,1]=>[1,1,2,1,1,1]=>1110111=>2 [1,2,5,3,4,7,6]=>[7,6,3,5,4,1,2]=>[1,1,2,1,2]=>1110110=>3 [1,2,5,3,6,4,7]=>[7,6,3,5,2,4,1]=>[1,1,2,2,1]=>1110101=>4 [1,2,5,3,6,7,4]=>[7,6,3,5,2,1,4]=>[1,1,2,1,2]=>1110110=>3 [1,2,5,3,7,4,6]=>[7,6,3,5,1,4,2]=>[1,1,2,2,1]=>1110101=>4 [1,2,5,3,7,6,4]=>[7,6,3,5,1,2,4]=>[1,1,2,3]=>1110100=>3 [1,2,5,4,3,6,7]=>[7,6,3,4,5,2,1]=>[1,1,3,1,1]=>1110011=>2 [1,2,5,4,3,7,6]=>[7,6,3,4,5,1,2]=>[1,1,3,2]=>1110010=>3 [1,2,5,4,6,3,7]=>[7,6,3,4,2,5,1]=>[1,1,2,2,1]=>1110101=>4 [1,2,5,4,6,7,3]=>[7,6,3,4,2,1,5]=>[1,1,2,1,2]=>1110110=>3 [1,2,5,4,7,3,6]=>[7,6,3,4,1,5,2]=>[1,1,2,2,1]=>1110101=>4 [1,2,5,4,7,6,3]=>[7,6,3,4,1,2,5]=>[1,1,2,3]=>1110100=>3 [1,2,5,6,3,4,7]=>[7,6,3,2,5,4,1]=>[1,1,1,2,1,1]=>1111011=>2 [1,2,5,6,3,7,4]=>[7,6,3,2,5,1,4]=>[1,1,1,2,2]=>1111010=>3 [1,2,5,6,4,3,7]=>[7,6,3,2,4,5,1]=>[1,1,1,3,1]=>1111001=>2 [1,2,5,6,4,7,3]=>[7,6,3,2,4,1,5]=>[1,1,1,2,2]=>1111010=>3 [1,2,5,6,7,3,4]=>[7,6,3,2,1,5,4]=>[1,1,1,1,2,1]=>1111101=>2 [1,2,5,6,7,4,3]=>[7,6,3,2,1,4,5]=>[1,1,1,1,3]=>1111100=>1 [1,2,5,7,3,4,6]=>[7,6,3,1,5,4,2]=>[1,1,1,2,1,1]=>1111011=>2 [1,2,5,7,3,6,4]=>[7,6,3,1,5,2,4]=>[1,1,1,2,2]=>1111010=>3 [1,2,5,7,4,3,6]=>[7,6,3,1,4,5,2]=>[1,1,1,3,1]=>1111001=>2 [1,2,5,7,4,6,3]=>[7,6,3,1,4,2,5]=>[1,1,1,2,2]=>1111010=>3 [1,2,5,7,6,3,4]=>[7,6,3,1,2,5,4]=>[1,1,1,3,1]=>1111001=>2 [1,2,5,7,6,4,3]=>[7,6,3,1,2,4,5]=>[1,1,1,4]=>1111000=>1 [1,2,6,3,4,5,7]=>[7,6,2,5,4,3,1]=>[1,1,2,1,1,1]=>1110111=>2 [1,2,6,3,4,7,5]=>[7,6,2,5,4,1,3]=>[1,1,2,1,2]=>1110110=>3 [1,2,6,3,5,4,7]=>[7,6,2,5,3,4,1]=>[1,1,2,2,1]=>1110101=>4 [1,2,6,3,5,7,4]=>[7,6,2,5,3,1,4]=>[1,1,2,1,2]=>1110110=>3 [1,2,6,3,7,4,5]=>[7,6,2,5,1,4,3]=>[1,1,2,2,1]=>1110101=>4 [1,2,6,3,7,5,4]=>[7,6,2,5,1,3,4]=>[1,1,2,3]=>1110100=>3 [1,2,6,4,3,5,7]=>[7,6,2,4,5,3,1]=>[1,1,3,1,1]=>1110011=>2 [1,2,6,4,3,7,5]=>[7,6,2,4,5,1,3]=>[1,1,3,2]=>1110010=>3 [1,2,6,4,5,3,7]=>[7,6,2,4,3,5,1]=>[1,1,2,2,1]=>1110101=>4 [1,2,6,4,5,7,3]=>[7,6,2,4,3,1,5]=>[1,1,2,1,2]=>1110110=>3 [1,2,6,4,7,3,5]=>[7,6,2,4,1,5,3]=>[1,1,2,2,1]=>1110101=>4 [1,2,6,4,7,5,3]=>[7,6,2,4,1,3,5]=>[1,1,2,3]=>1110100=>3 [1,2,6,5,3,4,7]=>[7,6,2,3,5,4,1]=>[1,1,3,1,1]=>1110011=>2 [1,2,6,5,3,7,4]=>[7,6,2,3,5,1,4]=>[1,1,3,2]=>1110010=>3 [1,2,6,5,4,3,7]=>[7,6,2,3,4,5,1]=>[1,1,4,1]=>1110001=>2 [1,2,6,5,4,7,3]=>[7,6,2,3,4,1,5]=>[1,1,3,2]=>1110010=>3 [1,2,6,5,7,3,4]=>[7,6,2,3,1,5,4]=>[1,1,2,2,1]=>1110101=>4 [1,2,6,5,7,4,3]=>[7,6,2,3,1,4,5]=>[1,1,2,3]=>1110100=>3 [1,2,6,7,3,4,5]=>[7,6,2,1,5,4,3]=>[1,1,1,2,1,1]=>1111011=>2 [1,2,6,7,3,5,4]=>[7,6,2,1,5,3,4]=>[1,1,1,2,2]=>1111010=>3 [1,2,6,7,4,3,5]=>[7,6,2,1,4,5,3]=>[1,1,1,3,1]=>1111001=>2 [1,2,6,7,4,5,3]=>[7,6,2,1,4,3,5]=>[1,1,1,2,2]=>1111010=>3 [1,2,6,7,5,3,4]=>[7,6,2,1,3,5,4]=>[1,1,1,3,1]=>1111001=>2 [1,2,6,7,5,4,3]=>[7,6,2,1,3,4,5]=>[1,1,1,4]=>1111000=>1 [1,2,7,3,4,5,6]=>[7,6,1,5,4,3,2]=>[1,1,2,1,1,1]=>1110111=>2 [1,2,7,3,4,6,5]=>[7,6,1,5,4,2,3]=>[1,1,2,1,2]=>1110110=>3 [1,2,7,3,5,4,6]=>[7,6,1,5,3,4,2]=>[1,1,2,2,1]=>1110101=>4 [1,2,7,3,5,6,4]=>[7,6,1,5,3,2,4]=>[1,1,2,1,2]=>1110110=>3 [1,2,7,3,6,4,5]=>[7,6,1,5,2,4,3]=>[1,1,2,2,1]=>1110101=>4 [1,2,7,3,6,5,4]=>[7,6,1,5,2,3,4]=>[1,1,2,3]=>1110100=>3 [1,2,7,4,3,5,6]=>[7,6,1,4,5,3,2]=>[1,1,3,1,1]=>1110011=>2 [1,2,7,4,3,6,5]=>[7,6,1,4,5,2,3]=>[1,1,3,2]=>1110010=>3 [1,2,7,4,5,3,6]=>[7,6,1,4,3,5,2]=>[1,1,2,2,1]=>1110101=>4 [1,2,7,4,5,6,3]=>[7,6,1,4,3,2,5]=>[1,1,2,1,2]=>1110110=>3 [1,2,7,4,6,3,5]=>[7,6,1,4,2,5,3]=>[1,1,2,2,1]=>1110101=>4 [1,2,7,4,6,5,3]=>[7,6,1,4,2,3,5]=>[1,1,2,3]=>1110100=>3 [1,2,7,5,3,4,6]=>[7,6,1,3,5,4,2]=>[1,1,3,1,1]=>1110011=>2 [1,2,7,5,3,6,4]=>[7,6,1,3,5,2,4]=>[1,1,3,2]=>1110010=>3 [1,2,7,5,4,3,6]=>[7,6,1,3,4,5,2]=>[1,1,4,1]=>1110001=>2 [1,2,7,5,4,6,3]=>[7,6,1,3,4,2,5]=>[1,1,3,2]=>1110010=>3 [1,2,7,5,6,3,4]=>[7,6,1,3,2,5,4]=>[1,1,2,2,1]=>1110101=>4 [1,2,7,5,6,4,3]=>[7,6,1,3,2,4,5]=>[1,1,2,3]=>1110100=>3 [1,2,7,6,3,4,5]=>[7,6,1,2,5,4,3]=>[1,1,3,1,1]=>1110011=>2 [1,2,7,6,3,5,4]=>[7,6,1,2,5,3,4]=>[1,1,3,2]=>1110010=>3 [1,2,7,6,4,3,5]=>[7,6,1,2,4,5,3]=>[1,1,4,1]=>1110001=>2 [1,2,7,6,4,5,3]=>[7,6,1,2,4,3,5]=>[1,1,3,2]=>1110010=>3 [1,2,7,6,5,3,4]=>[7,6,1,2,3,5,4]=>[1,1,4,1]=>1110001=>2 [1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>[1,1,5]=>1110000=>1 [1,3,2,4,5,6,7]=>[7,5,6,4,3,2,1]=>[1,2,1,1,1,1]=>1101111=>2 [1,3,2,4,5,7,6]=>[7,5,6,4,3,1,2]=>[1,2,1,1,2]=>1101110=>3 [1,3,2,4,6,5,7]=>[7,5,6,4,2,3,1]=>[1,2,1,2,1]=>1101101=>4 [1,3,2,4,6,7,5]=>[7,5,6,4,2,1,3]=>[1,2,1,1,2]=>1101110=>3 [1,3,2,4,7,5,6]=>[7,5,6,4,1,3,2]=>[1,2,1,2,1]=>1101101=>4 [1,3,2,4,7,6,5]=>[7,5,6,4,1,2,3]=>[1,2,1,3]=>1101100=>3 [1,3,2,5,4,6,7]=>[7,5,6,3,4,2,1]=>[1,2,2,1,1]=>1101011=>4 [1,3,2,5,4,7,6]=>[7,5,6,3,4,1,2]=>[1,2,2,2]=>1101010=>5 [1,3,2,5,6,4,7]=>[7,5,6,3,2,4,1]=>[1,2,1,2,1]=>1101101=>4 [1,3,2,5,6,7,4]=>[7,5,6,3,2,1,4]=>[1,2,1,1,2]=>1101110=>3 [1,3,2,5,7,4,6]=>[7,5,6,3,1,4,2]=>[1,2,1,2,1]=>1101101=>4 [1,3,2,5,7,6,4]=>[7,5,6,3,1,2,4]=>[1,2,1,3]=>1101100=>3 [1,3,2,6,4,5,7]=>[7,5,6,2,4,3,1]=>[1,2,2,1,1]=>1101011=>4 [1,3,2,6,4,7,5]=>[7,5,6,2,4,1,3]=>[1,2,2,2]=>1101010=>5 [1,3,2,6,5,4,7]=>[7,5,6,2,3,4,1]=>[1,2,3,1]=>1101001=>4 [1,3,2,6,5,7,4]=>[7,5,6,2,3,1,4]=>[1,2,2,2]=>1101010=>5 [1,3,2,6,7,4,5]=>[7,5,6,2,1,4,3]=>[1,2,1,2,1]=>1101101=>4 [1,3,2,6,7,5,4]=>[7,5,6,2,1,3,4]=>[1,2,1,3]=>1101100=>3 [1,3,2,7,4,5,6]=>[7,5,6,1,4,3,2]=>[1,2,2,1,1]=>1101011=>4 [1,3,2,7,4,6,5]=>[7,5,6,1,4,2,3]=>[1,2,2,2]=>1101010=>5 [1,3,2,7,5,4,6]=>[7,5,6,1,3,4,2]=>[1,2,3,1]=>1101001=>4 [1,3,2,7,5,6,4]=>[7,5,6,1,3,2,4]=>[1,2,2,2]=>1101010=>5 [1,3,2,7,6,4,5]=>[7,5,6,1,2,4,3]=>[1,2,3,1]=>1101001=>4 [1,3,2,7,6,5,4]=>[7,5,6,1,2,3,4]=>[1,2,4]=>1101000=>3 [1,3,4,2,5,6,7]=>[7,5,4,6,3,2,1]=>[1,1,2,1,1,1]=>1110111=>2 [1,3,4,2,5,7,6]=>[7,5,4,6,3,1,2]=>[1,1,2,1,2]=>1110110=>3 [1,3,4,2,6,5,7]=>[7,5,4,6,2,3,1]=>[1,1,2,2,1]=>1110101=>4 [1,3,4,2,6,7,5]=>[7,5,4,6,2,1,3]=>[1,1,2,1,2]=>1110110=>3 [1,3,4,2,7,5,6]=>[7,5,4,6,1,3,2]=>[1,1,2,2,1]=>1110101=>4 [1,3,4,2,7,6,5]=>[7,5,4,6,1,2,3]=>[1,1,2,3]=>1110100=>3 [1,3,4,5,2,6,7]=>[7,5,4,3,6,2,1]=>[1,1,1,2,1,1]=>1111011=>2 [1,3,4,5,2,7,6]=>[7,5,4,3,6,1,2]=>[1,1,1,2,2]=>1111010=>3 [1,3,4,5,6,2,7]=>[7,5,4,3,2,6,1]=>[1,1,1,1,2,1]=>1111101=>2 [1,3,4,5,6,7,2]=>[7,5,4,3,2,1,6]=>[1,1,1,1,1,2]=>1111110=>1 [1,3,4,5,7,2,6]=>[7,5,4,3,1,6,2]=>[1,1,1,1,2,1]=>1111101=>2 [1,3,4,5,7,6,2]=>[7,5,4,3,1,2,6]=>[1,1,1,1,3]=>1111100=>1 [1,3,4,6,2,5,7]=>[7,5,4,2,6,3,1]=>[1,1,1,2,1,1]=>1111011=>2 [1,3,4,6,2,7,5]=>[7,5,4,2,6,1,3]=>[1,1,1,2,2]=>1111010=>3 [1,3,4,6,5,2,7]=>[7,5,4,2,3,6,1]=>[1,1,1,3,1]=>1111001=>2 [1,3,4,6,5,7,2]=>[7,5,4,2,3,1,6]=>[1,1,1,2,2]=>1111010=>3 [1,3,4,6,7,2,5]=>[7,5,4,2,1,6,3]=>[1,1,1,1,2,1]=>1111101=>2 [1,3,4,6,7,5,2]=>[7,5,4,2,1,3,6]=>[1,1,1,1,3]=>1111100=>1 [1,3,4,7,2,5,6]=>[7,5,4,1,6,3,2]=>[1,1,1,2,1,1]=>1111011=>2 [1,3,4,7,2,6,5]=>[7,5,4,1,6,2,3]=>[1,1,1,2,2]=>1111010=>3 [1,3,4,7,5,2,6]=>[7,5,4,1,3,6,2]=>[1,1,1,3,1]=>1111001=>2 [1,3,4,7,5,6,2]=>[7,5,4,1,3,2,6]=>[1,1,1,2,2]=>1111010=>3 [1,3,4,7,6,2,5]=>[7,5,4,1,2,6,3]=>[1,1,1,3,1]=>1111001=>2 [1,3,4,7,6,5,2]=>[7,5,4,1,2,3,6]=>[1,1,1,4]=>1111000=>1 [1,3,5,2,4,6,7]=>[7,5,3,6,4,2,1]=>[1,1,2,1,1,1]=>1110111=>2 [1,3,5,2,4,7,6]=>[7,5,3,6,4,1,2]=>[1,1,2,1,2]=>1110110=>3 [1,3,5,2,6,4,7]=>[7,5,3,6,2,4,1]=>[1,1,2,2,1]=>1110101=>4 [1,3,5,2,6,7,4]=>[7,5,3,6,2,1,4]=>[1,1,2,1,2]=>1110110=>3 [1,3,5,2,7,4,6]=>[7,5,3,6,1,4,2]=>[1,1,2,2,1]=>1110101=>4 [1,3,5,2,7,6,4]=>[7,5,3,6,1,2,4]=>[1,1,2,3]=>1110100=>3 [1,3,5,4,2,6,7]=>[7,5,3,4,6,2,1]=>[1,1,3,1,1]=>1110011=>2 [1,3,5,4,2,7,6]=>[7,5,3,4,6,1,2]=>[1,1,3,2]=>1110010=>3 [1,3,5,4,6,2,7]=>[7,5,3,4,2,6,1]=>[1,1,2,2,1]=>1110101=>4 [1,3,5,4,6,7,2]=>[7,5,3,4,2,1,6]=>[1,1,2,1,2]=>1110110=>3 [1,3,5,4,7,2,6]=>[7,5,3,4,1,6,2]=>[1,1,2,2,1]=>1110101=>4 [1,3,5,4,7,6,2]=>[7,5,3,4,1,2,6]=>[1,1,2,3]=>1110100=>3 [1,3,5,6,2,4,7]=>[7,5,3,2,6,4,1]=>[1,1,1,2,1,1]=>1111011=>2 [1,3,5,6,2,7,4]=>[7,5,3,2,6,1,4]=>[1,1,1,2,2]=>1111010=>3 [1,3,5,6,4,2,7]=>[7,5,3,2,4,6,1]=>[1,1,1,3,1]=>1111001=>2 [1,3,5,6,4,7,2]=>[7,5,3,2,4,1,6]=>[1,1,1,2,2]=>1111010=>3 [1,3,5,6,7,2,4]=>[7,5,3,2,1,6,4]=>[1,1,1,1,2,1]=>1111101=>2 [1,3,5,6,7,4,2]=>[7,5,3,2,1,4,6]=>[1,1,1,1,3]=>1111100=>1 [1,3,5,7,2,4,6]=>[7,5,3,1,6,4,2]=>[1,1,1,2,1,1]=>1111011=>2 [1,3,5,7,2,6,4]=>[7,5,3,1,6,2,4]=>[1,1,1,2,2]=>1111010=>3 [1,3,5,7,4,2,6]=>[7,5,3,1,4,6,2]=>[1,1,1,3,1]=>1111001=>2 [1,3,5,7,4,6,2]=>[7,5,3,1,4,2,6]=>[1,1,1,2,2]=>1111010=>3 [1,3,5,7,6,2,4]=>[7,5,3,1,2,6,4]=>[1,1,1,3,1]=>1111001=>2 [1,3,5,7,6,4,2]=>[7,5,3,1,2,4,6]=>[1,1,1,4]=>1111000=>1 [1,3,6,2,4,5,7]=>[7,5,2,6,4,3,1]=>[1,1,2,1,1,1]=>1110111=>2 [1,3,6,2,4,7,5]=>[7,5,2,6,4,1,3]=>[1,1,2,1,2]=>1110110=>3 [1,3,6,2,5,4,7]=>[7,5,2,6,3,4,1]=>[1,1,2,2,1]=>1110101=>4 [1,3,6,2,5,7,4]=>[7,5,2,6,3,1,4]=>[1,1,2,1,2]=>1110110=>3 [1,3,6,2,7,4,5]=>[7,5,2,6,1,4,3]=>[1,1,2,2,1]=>1110101=>4 [1,3,6,2,7,5,4]=>[7,5,2,6,1,3,4]=>[1,1,2,3]=>1110100=>3 [1,3,6,4,2,5,7]=>[7,5,2,4,6,3,1]=>[1,1,3,1,1]=>1110011=>2 [1,3,6,4,2,7,5]=>[7,5,2,4,6,1,3]=>[1,1,3,2]=>1110010=>3 [1,3,6,4,5,2,7]=>[7,5,2,4,3,6,1]=>[1,1,2,2,1]=>1110101=>4 [1,3,6,4,5,7,2]=>[7,5,2,4,3,1,6]=>[1,1,2,1,2]=>1110110=>3 [1,3,6,4,7,2,5]=>[7,5,2,4,1,6,3]=>[1,1,2,2,1]=>1110101=>4 [1,3,6,4,7,5,2]=>[7,5,2,4,1,3,6]=>[1,1,2,3]=>1110100=>3 [1,3,6,5,2,4,7]=>[7,5,2,3,6,4,1]=>[1,1,3,1,1]=>1110011=>2 [1,3,6,5,2,7,4]=>[7,5,2,3,6,1,4]=>[1,1,3,2]=>1110010=>3 [1,3,6,5,4,2,7]=>[7,5,2,3,4,6,1]=>[1,1,4,1]=>1110001=>2 [1,3,6,5,4,7,2]=>[7,5,2,3,4,1,6]=>[1,1,3,2]=>1110010=>3 [1,3,6,5,7,2,4]=>[7,5,2,3,1,6,4]=>[1,1,2,2,1]=>1110101=>4 [1,3,6,5,7,4,2]=>[7,5,2,3,1,4,6]=>[1,1,2,3]=>1110100=>3 [1,3,6,7,2,4,5]=>[7,5,2,1,6,4,3]=>[1,1,1,2,1,1]=>1111011=>2 [1,3,6,7,2,5,4]=>[7,5,2,1,6,3,4]=>[1,1,1,2,2]=>1111010=>3 [1,3,6,7,4,2,5]=>[7,5,2,1,4,6,3]=>[1,1,1,3,1]=>1111001=>2 [1,3,6,7,4,5,2]=>[7,5,2,1,4,3,6]=>[1,1,1,2,2]=>1111010=>3 [1,3,6,7,5,2,4]=>[7,5,2,1,3,6,4]=>[1,1,1,3,1]=>1111001=>2 [1,3,6,7,5,4,2]=>[7,5,2,1,3,4,6]=>[1,1,1,4]=>1111000=>1 [1,3,7,2,4,5,6]=>[7,5,1,6,4,3,2]=>[1,1,2,1,1,1]=>1110111=>2 [1,3,7,2,4,6,5]=>[7,5,1,6,4,2,3]=>[1,1,2,1,2]=>1110110=>3 [1,3,7,2,5,4,6]=>[7,5,1,6,3,4,2]=>[1,1,2,2,1]=>1110101=>4 [1,3,7,2,5,6,4]=>[7,5,1,6,3,2,4]=>[1,1,2,1,2]=>1110110=>3 [1,3,7,2,6,4,5]=>[7,5,1,6,2,4,3]=>[1,1,2,2,1]=>1110101=>4 [1,3,7,2,6,5,4]=>[7,5,1,6,2,3,4]=>[1,1,2,3]=>1110100=>3 [1,3,7,4,2,5,6]=>[7,5,1,4,6,3,2]=>[1,1,3,1,1]=>1110011=>2 [1,3,7,4,2,6,5]=>[7,5,1,4,6,2,3]=>[1,1,3,2]=>1110010=>3 [1,3,7,4,5,2,6]=>[7,5,1,4,3,6,2]=>[1,1,2,2,1]=>1110101=>4 [1,3,7,4,5,6,2]=>[7,5,1,4,3,2,6]=>[1,1,2,1,2]=>1110110=>3 [1,3,7,4,6,2,5]=>[7,5,1,4,2,6,3]=>[1,1,2,2,1]=>1110101=>4 [1,3,7,4,6,5,2]=>[7,5,1,4,2,3,6]=>[1,1,2,3]=>1110100=>3 [1,3,7,5,2,4,6]=>[7,5,1,3,6,4,2]=>[1,1,3,1,1]=>1110011=>2 [1,3,7,5,2,6,4]=>[7,5,1,3,6,2,4]=>[1,1,3,2]=>1110010=>3 [1,3,7,5,4,2,6]=>[7,5,1,3,4,6,2]=>[1,1,4,1]=>1110001=>2 [1,3,7,5,4,6,2]=>[7,5,1,3,4,2,6]=>[1,1,3,2]=>1110010=>3 [1,3,7,5,6,2,4]=>[7,5,1,3,2,6,4]=>[1,1,2,2,1]=>1110101=>4 [1,3,7,5,6,4,2]=>[7,5,1,3,2,4,6]=>[1,1,2,3]=>1110100=>3 [1,3,7,6,2,4,5]=>[7,5,1,2,6,4,3]=>[1,1,3,1,1]=>1110011=>2 [1,3,7,6,2,5,4]=>[7,5,1,2,6,3,4]=>[1,1,3,2]=>1110010=>3 [1,3,7,6,4,2,5]=>[7,5,1,2,4,6,3]=>[1,1,4,1]=>1110001=>2 [1,3,7,6,4,5,2]=>[7,5,1,2,4,3,6]=>[1,1,3,2]=>1110010=>3 [1,3,7,6,5,2,4]=>[7,5,1,2,3,6,4]=>[1,1,4,1]=>1110001=>2 [1,3,7,6,5,4,2]=>[7,5,1,2,3,4,6]=>[1,1,5]=>1110000=>1 [1,4,2,3,5,6,7]=>[7,4,6,5,3,2,1]=>[1,2,1,1,1,1]=>1101111=>2 [1,4,2,3,5,7,6]=>[7,4,6,5,3,1,2]=>[1,2,1,1,2]=>1101110=>3 [1,4,2,3,6,5,7]=>[7,4,6,5,2,3,1]=>[1,2,1,2,1]=>1101101=>4 [1,4,2,3,6,7,5]=>[7,4,6,5,2,1,3]=>[1,2,1,1,2]=>1101110=>3 [1,4,2,3,7,5,6]=>[7,4,6,5,1,3,2]=>[1,2,1,2,1]=>1101101=>4 [1,4,2,3,7,6,5]=>[7,4,6,5,1,2,3]=>[1,2,1,3]=>1101100=>3 [1,4,2,5,3,6,7]=>[7,4,6,3,5,2,1]=>[1,2,2,1,1]=>1101011=>4 [1,4,2,5,3,7,6]=>[7,4,6,3,5,1,2]=>[1,2,2,2]=>1101010=>5 [1,4,2,5,6,3,7]=>[7,4,6,3,2,5,1]=>[1,2,1,2,1]=>1101101=>4 [1,4,2,5,6,7,3]=>[7,4,6,3,2,1,5]=>[1,2,1,1,2]=>1101110=>3 [1,4,2,5,7,3,6]=>[7,4,6,3,1,5,2]=>[1,2,1,2,1]=>1101101=>4 [1,4,2,5,7,6,3]=>[7,4,6,3,1,2,5]=>[1,2,1,3]=>1101100=>3 [1,4,2,6,3,5,7]=>[7,4,6,2,5,3,1]=>[1,2,2,1,1]=>1101011=>4 [1,4,2,6,3,7,5]=>[7,4,6,2,5,1,3]=>[1,2,2,2]=>1101010=>5 [1,4,2,6,5,3,7]=>[7,4,6,2,3,5,1]=>[1,2,3,1]=>1101001=>4 [1,4,2,6,5,7,3]=>[7,4,6,2,3,1,5]=>[1,2,2,2]=>1101010=>5 [1,4,2,6,7,3,5]=>[7,4,6,2,1,5,3]=>[1,2,1,2,1]=>1101101=>4 [1,4,2,6,7,5,3]=>[7,4,6,2,1,3,5]=>[1,2,1,3]=>1101100=>3 [1,4,2,7,3,5,6]=>[7,4,6,1,5,3,2]=>[1,2,2,1,1]=>1101011=>4 [1,4,2,7,3,6,5]=>[7,4,6,1,5,2,3]=>[1,2,2,2]=>1101010=>5 [1,4,2,7,5,3,6]=>[7,4,6,1,3,5,2]=>[1,2,3,1]=>1101001=>4 [1,4,2,7,5,6,3]=>[7,4,6,1,3,2,5]=>[1,2,2,2]=>1101010=>5 [1,4,2,7,6,3,5]=>[7,4,6,1,2,5,3]=>[1,2,3,1]=>1101001=>4 [1,4,2,7,6,5,3]=>[7,4,6,1,2,3,5]=>[1,2,4]=>1101000=>3 [1,4,3,2,5,6,7]=>[7,4,5,6,3,2,1]=>[1,3,1,1,1]=>1100111=>2 [1,4,3,2,5,7,6]=>[7,4,5,6,3,1,2]=>[1,3,1,2]=>1100110=>3 [1,4,3,2,6,5,7]=>[7,4,5,6,2,3,1]=>[1,3,2,1]=>1100101=>4 [1,4,3,2,6,7,5]=>[7,4,5,6,2,1,3]=>[1,3,1,2]=>1100110=>3 [1,4,3,2,7,5,6]=>[7,4,5,6,1,3,2]=>[1,3,2,1]=>1100101=>4 [1,4,3,2,7,6,5]=>[7,4,5,6,1,2,3]=>[1,3,3]=>1100100=>3 [1,4,3,5,2,6,7]=>[7,4,5,3,6,2,1]=>[1,2,2,1,1]=>1101011=>4 [1,4,3,5,2,7,6]=>[7,4,5,3,6,1,2]=>[1,2,2,2]=>1101010=>5 [1,4,3,5,6,2,7]=>[7,4,5,3,2,6,1]=>[1,2,1,2,1]=>1101101=>4 [1,4,3,5,6,7,2]=>[7,4,5,3,2,1,6]=>[1,2,1,1,2]=>1101110=>3 [1,4,3,5,7,2,6]=>[7,4,5,3,1,6,2]=>[1,2,1,2,1]=>1101101=>4 [1,4,3,5,7,6,2]=>[7,4,5,3,1,2,6]=>[1,2,1,3]=>1101100=>3 [1,4,3,6,2,5,7]=>[7,4,5,2,6,3,1]=>[1,2,2,1,1]=>1101011=>4 [1,4,3,6,2,7,5]=>[7,4,5,2,6,1,3]=>[1,2,2,2]=>1101010=>5 [1,4,3,6,5,2,7]=>[7,4,5,2,3,6,1]=>[1,2,3,1]=>1101001=>4 [1,4,3,6,5,7,2]=>[7,4,5,2,3,1,6]=>[1,2,2,2]=>1101010=>5 [1,4,3,6,7,2,5]=>[7,4,5,2,1,6,3]=>[1,2,1,2,1]=>1101101=>4 [1,4,3,6,7,5,2]=>[7,4,5,2,1,3,6]=>[1,2,1,3]=>1101100=>3 [1,4,3,7,2,5,6]=>[7,4,5,1,6,3,2]=>[1,2,2,1,1]=>1101011=>4 [1,4,3,7,2,6,5]=>[7,4,5,1,6,2,3]=>[1,2,2,2]=>1101010=>5 [1,4,3,7,5,2,6]=>[7,4,5,1,3,6,2]=>[1,2,3,1]=>1101001=>4 [1,4,3,7,5,6,2]=>[7,4,5,1,3,2,6]=>[1,2,2,2]=>1101010=>5 [1,4,3,7,6,2,5]=>[7,4,5,1,2,6,3]=>[1,2,3,1]=>1101001=>4 [1,4,3,7,6,5,2]=>[7,4,5,1,2,3,6]=>[1,2,4]=>1101000=>3 [1,4,5,2,3,6,7]=>[7,4,3,6,5,2,1]=>[1,1,2,1,1,1]=>1110111=>2 [1,4,5,2,3,7,6]=>[7,4,3,6,5,1,2]=>[1,1,2,1,2]=>1110110=>3 [1,4,5,2,6,3,7]=>[7,4,3,6,2,5,1]=>[1,1,2,2,1]=>1110101=>4 [1,4,5,2,6,7,3]=>[7,4,3,6,2,1,5]=>[1,1,2,1,2]=>1110110=>3 [1,4,5,2,7,3,6]=>[7,4,3,6,1,5,2]=>[1,1,2,2,1]=>1110101=>4 [1,4,5,2,7,6,3]=>[7,4,3,6,1,2,5]=>[1,1,2,3]=>1110100=>3 [1,4,5,3,2,6,7]=>[7,4,3,5,6,2,1]=>[1,1,3,1,1]=>1110011=>2 [1,4,5,3,2,7,6]=>[7,4,3,5,6,1,2]=>[1,1,3,2]=>1110010=>3 [1,4,5,3,6,2,7]=>[7,4,3,5,2,6,1]=>[1,1,2,2,1]=>1110101=>4 [1,4,5,3,6,7,2]=>[7,4,3,5,2,1,6]=>[1,1,2,1,2]=>1110110=>3 [1,4,5,3,7,2,6]=>[7,4,3,5,1,6,2]=>[1,1,2,2,1]=>1110101=>4 [1,4,5,3,7,6,2]=>[7,4,3,5,1,2,6]=>[1,1,2,3]=>1110100=>3 [1,4,5,6,2,3,7]=>[7,4,3,2,6,5,1]=>[1,1,1,2,1,1]=>1111011=>2 [1,4,5,6,2,7,3]=>[7,4,3,2,6,1,5]=>[1,1,1,2,2]=>1111010=>3 [1,4,5,6,3,2,7]=>[7,4,3,2,5,6,1]=>[1,1,1,3,1]=>1111001=>2 [1,4,5,6,3,7,2]=>[7,4,3,2,5,1,6]=>[1,1,1,2,2]=>1111010=>3 [1,4,5,6,7,2,3]=>[7,4,3,2,1,6,5]=>[1,1,1,1,2,1]=>1111101=>2 [1,4,5,6,7,3,2]=>[7,4,3,2,1,5,6]=>[1,1,1,1,3]=>1111100=>1 [1,4,5,7,2,3,6]=>[7,4,3,1,6,5,2]=>[1,1,1,2,1,1]=>1111011=>2 [1,4,5,7,2,6,3]=>[7,4,3,1,6,2,5]=>[1,1,1,2,2]=>1111010=>3 [1,4,5,7,3,2,6]=>[7,4,3,1,5,6,2]=>[1,1,1,3,1]=>1111001=>2 [1,4,5,7,3,6,2]=>[7,4,3,1,5,2,6]=>[1,1,1,2,2]=>1111010=>3 [1,4,5,7,6,2,3]=>[7,4,3,1,2,6,5]=>[1,1,1,3,1]=>1111001=>2 [1,4,5,7,6,3,2]=>[7,4,3,1,2,5,6]=>[1,1,1,4]=>1111000=>1 [1,4,6,2,3,5,7]=>[7,4,2,6,5,3,1]=>[1,1,2,1,1,1]=>1110111=>2 [1,4,6,2,3,7,5]=>[7,4,2,6,5,1,3]=>[1,1,2,1,2]=>1110110=>3 [1,4,6,2,5,3,7]=>[7,4,2,6,3,5,1]=>[1,1,2,2,1]=>1110101=>4 [1,4,6,2,5,7,3]=>[7,4,2,6,3,1,5]=>[1,1,2,1,2]=>1110110=>3 [1,4,6,2,7,3,5]=>[7,4,2,6,1,5,3]=>[1,1,2,2,1]=>1110101=>4 [1,4,6,2,7,5,3]=>[7,4,2,6,1,3,5]=>[1,1,2,3]=>1110100=>3 [1,4,6,3,2,5,7]=>[7,4,2,5,6,3,1]=>[1,1,3,1,1]=>1110011=>2 [1,4,6,3,2,7,5]=>[7,4,2,5,6,1,3]=>[1,1,3,2]=>1110010=>3 [1,4,6,3,5,2,7]=>[7,4,2,5,3,6,1]=>[1,1,2,2,1]=>1110101=>4 [1,4,6,3,5,7,2]=>[7,4,2,5,3,1,6]=>[1,1,2,1,2]=>1110110=>3 [1,4,6,3,7,2,5]=>[7,4,2,5,1,6,3]=>[1,1,2,2,1]=>1110101=>4 [1,4,6,3,7,5,2]=>[7,4,2,5,1,3,6]=>[1,1,2,3]=>1110100=>3 [1,4,6,5,2,3,7]=>[7,4,2,3,6,5,1]=>[1,1,3,1,1]=>1110011=>2 [1,4,6,5,2,7,3]=>[7,4,2,3,6,1,5]=>[1,1,3,2]=>1110010=>3 [1,4,6,5,3,2,7]=>[7,4,2,3,5,6,1]=>[1,1,4,1]=>1110001=>2 [1,4,6,5,3,7,2]=>[7,4,2,3,5,1,6]=>[1,1,3,2]=>1110010=>3 [1,4,6,5,7,2,3]=>[7,4,2,3,1,6,5]=>[1,1,2,2,1]=>1110101=>4 [1,4,6,5,7,3,2]=>[7,4,2,3,1,5,6]=>[1,1,2,3]=>1110100=>3 [1,4,6,7,2,3,5]=>[7,4,2,1,6,5,3]=>[1,1,1,2,1,1]=>1111011=>2 [1,4,6,7,2,5,3]=>[7,4,2,1,6,3,5]=>[1,1,1,2,2]=>1111010=>3 [1,4,6,7,3,2,5]=>[7,4,2,1,5,6,3]=>[1,1,1,3,1]=>1111001=>2 [1,4,6,7,3,5,2]=>[7,4,2,1,5,3,6]=>[1,1,1,2,2]=>1111010=>3 [1,4,6,7,5,2,3]=>[7,4,2,1,3,6,5]=>[1,1,1,3,1]=>1111001=>2 [1,4,6,7,5,3,2]=>[7,4,2,1,3,5,6]=>[1,1,1,4]=>1111000=>1 [1,4,7,2,3,5,6]=>[7,4,1,6,5,3,2]=>[1,1,2,1,1,1]=>1110111=>2 [1,4,7,2,3,6,5]=>[7,4,1,6,5,2,3]=>[1,1,2,1,2]=>1110110=>3 [1,4,7,2,5,3,6]=>[7,4,1,6,3,5,2]=>[1,1,2,2,1]=>1110101=>4 [1,4,7,2,5,6,3]=>[7,4,1,6,3,2,5]=>[1,1,2,1,2]=>1110110=>3 [1,4,7,2,6,3,5]=>[7,4,1,6,2,5,3]=>[1,1,2,2,1]=>1110101=>4 [1,4,7,2,6,5,3]=>[7,4,1,6,2,3,5]=>[1,1,2,3]=>1110100=>3 [1,4,7,3,2,5,6]=>[7,4,1,5,6,3,2]=>[1,1,3,1,1]=>1110011=>2 [1,4,7,3,2,6,5]=>[7,4,1,5,6,2,3]=>[1,1,3,2]=>1110010=>3 [1,4,7,3,5,2,6]=>[7,4,1,5,3,6,2]=>[1,1,2,2,1]=>1110101=>4 [1,4,7,3,5,6,2]=>[7,4,1,5,3,2,6]=>[1,1,2,1,2]=>1110110=>3 [1,4,7,3,6,2,5]=>[7,4,1,5,2,6,3]=>[1,1,2,2,1]=>1110101=>4 [1,4,7,3,6,5,2]=>[7,4,1,5,2,3,6]=>[1,1,2,3]=>1110100=>3 [1,4,7,5,2,3,6]=>[7,4,1,3,6,5,2]=>[1,1,3,1,1]=>1110011=>2 [1,4,7,5,2,6,3]=>[7,4,1,3,6,2,5]=>[1,1,3,2]=>1110010=>3 [1,4,7,5,3,2,6]=>[7,4,1,3,5,6,2]=>[1,1,4,1]=>1110001=>2 [1,4,7,5,3,6,2]=>[7,4,1,3,5,2,6]=>[1,1,3,2]=>1110010=>3 [1,4,7,5,6,2,3]=>[7,4,1,3,2,6,5]=>[1,1,2,2,1]=>1110101=>4 [1,4,7,5,6,3,2]=>[7,4,1,3,2,5,6]=>[1,1,2,3]=>1110100=>3 [1,4,7,6,2,3,5]=>[7,4,1,2,6,5,3]=>[1,1,3,1,1]=>1110011=>2 [1,4,7,6,2,5,3]=>[7,4,1,2,6,3,5]=>[1,1,3,2]=>1110010=>3 [1,4,7,6,3,2,5]=>[7,4,1,2,5,6,3]=>[1,1,4,1]=>1110001=>2 [1,4,7,6,3,5,2]=>[7,4,1,2,5,3,6]=>[1,1,3,2]=>1110010=>3 [1,4,7,6,5,2,3]=>[7,4,1,2,3,6,5]=>[1,1,4,1]=>1110001=>2 [1,4,7,6,5,3,2]=>[7,4,1,2,3,5,6]=>[1,1,5]=>1110000=>1 [1,5,2,3,4,6,7]=>[7,3,6,5,4,2,1]=>[1,2,1,1,1,1]=>1101111=>2 [1,5,2,3,4,7,6]=>[7,3,6,5,4,1,2]=>[1,2,1,1,2]=>1101110=>3 [1,5,2,3,6,4,7]=>[7,3,6,5,2,4,1]=>[1,2,1,2,1]=>1101101=>4 [1,5,2,3,6,7,4]=>[7,3,6,5,2,1,4]=>[1,2,1,1,2]=>1101110=>3 [1,5,2,3,7,4,6]=>[7,3,6,5,1,4,2]=>[1,2,1,2,1]=>1101101=>4 [1,5,2,3,7,6,4]=>[7,3,6,5,1,2,4]=>[1,2,1,3]=>1101100=>3 [1,5,2,4,3,6,7]=>[7,3,6,4,5,2,1]=>[1,2,2,1,1]=>1101011=>4 [1,5,2,4,3,7,6]=>[7,3,6,4,5,1,2]=>[1,2,2,2]=>1101010=>5 [1,5,2,4,6,3,7]=>[7,3,6,4,2,5,1]=>[1,2,1,2,1]=>1101101=>4 [1,5,2,4,6,7,3]=>[7,3,6,4,2,1,5]=>[1,2,1,1,2]=>1101110=>3 [1,5,2,4,7,3,6]=>[7,3,6,4,1,5,2]=>[1,2,1,2,1]=>1101101=>4 [1,5,2,4,7,6,3]=>[7,3,6,4,1,2,5]=>[1,2,1,3]=>1101100=>3 [1,5,2,6,3,4,7]=>[7,3,6,2,5,4,1]=>[1,2,2,1,1]=>1101011=>4 [1,5,2,6,3,7,4]=>[7,3,6,2,5,1,4]=>[1,2,2,2]=>1101010=>5 [1,5,2,6,4,3,7]=>[7,3,6,2,4,5,1]=>[1,2,3,1]=>1101001=>4 [1,5,2,6,4,7,3]=>[7,3,6,2,4,1,5]=>[1,2,2,2]=>1101010=>5 [1,5,2,6,7,3,4]=>[7,3,6,2,1,5,4]=>[1,2,1,2,1]=>1101101=>4 [1,5,2,6,7,4,3]=>[7,3,6,2,1,4,5]=>[1,2,1,3]=>1101100=>3 [1,5,2,7,3,4,6]=>[7,3,6,1,5,4,2]=>[1,2,2,1,1]=>1101011=>4 [1,5,2,7,3,6,4]=>[7,3,6,1,5,2,4]=>[1,2,2,2]=>1101010=>5 [1,5,2,7,4,3,6]=>[7,3,6,1,4,5,2]=>[1,2,3,1]=>1101001=>4 [1,5,2,7,4,6,3]=>[7,3,6,1,4,2,5]=>[1,2,2,2]=>1101010=>5 [1,5,2,7,6,3,4]=>[7,3,6,1,2,5,4]=>[1,2,3,1]=>1101001=>4 [1,5,2,7,6,4,3]=>[7,3,6,1,2,4,5]=>[1,2,4]=>1101000=>3 [1,5,3,2,4,6,7]=>[7,3,5,6,4,2,1]=>[1,3,1,1,1]=>1100111=>2 [1,5,3,2,4,7,6]=>[7,3,5,6,4,1,2]=>[1,3,1,2]=>1100110=>3 [1,5,3,2,6,4,7]=>[7,3,5,6,2,4,1]=>[1,3,2,1]=>1100101=>4 [1,5,3,2,6,7,4]=>[7,3,5,6,2,1,4]=>[1,3,1,2]=>1100110=>3 [1,5,3,2,7,4,6]=>[7,3,5,6,1,4,2]=>[1,3,2,1]=>1100101=>4 [1,5,3,2,7,6,4]=>[7,3,5,6,1,2,4]=>[1,3,3]=>1100100=>3 [1,5,3,4,2,6,7]=>[7,3,5,4,6,2,1]=>[1,2,2,1,1]=>1101011=>4 [1,5,3,4,2,7,6]=>[7,3,5,4,6,1,2]=>[1,2,2,2]=>1101010=>5 [1,5,3,4,6,2,7]=>[7,3,5,4,2,6,1]=>[1,2,1,2,1]=>1101101=>4 [1,5,3,4,6,7,2]=>[7,3,5,4,2,1,6]=>[1,2,1,1,2]=>1101110=>3 [1,5,3,4,7,2,6]=>[7,3,5,4,1,6,2]=>[1,2,1,2,1]=>1101101=>4 [1,5,3,4,7,6,2]=>[7,3,5,4,1,2,6]=>[1,2,1,3]=>1101100=>3 [1,5,3,6,2,4,7]=>[7,3,5,2,6,4,1]=>[1,2,2,1,1]=>1101011=>4 [1,5,3,6,2,7,4]=>[7,3,5,2,6,1,4]=>[1,2,2,2]=>1101010=>5 [1,5,3,6,4,2,7]=>[7,3,5,2,4,6,1]=>[1,2,3,1]=>1101001=>4 [1,5,3,6,4,7,2]=>[7,3,5,2,4,1,6]=>[1,2,2,2]=>1101010=>5 [1,5,3,6,7,2,4]=>[7,3,5,2,1,6,4]=>[1,2,1,2,1]=>1101101=>4 [1,5,3,6,7,4,2]=>[7,3,5,2,1,4,6]=>[1,2,1,3]=>1101100=>3 [1,5,3,7,2,4,6]=>[7,3,5,1,6,4,2]=>[1,2,2,1,1]=>1101011=>4 [1,5,3,7,2,6,4]=>[7,3,5,1,6,2,4]=>[1,2,2,2]=>1101010=>5 [1,5,3,7,4,2,6]=>[7,3,5,1,4,6,2]=>[1,2,3,1]=>1101001=>4 [1,5,3,7,4,6,2]=>[7,3,5,1,4,2,6]=>[1,2,2,2]=>1101010=>5 [1,5,3,7,6,2,4]=>[7,3,5,1,2,6,4]=>[1,2,3,1]=>1101001=>4 [1,5,3,7,6,4,2]=>[7,3,5,1,2,4,6]=>[1,2,4]=>1101000=>3 [1,5,4,2,3,6,7]=>[7,3,4,6,5,2,1]=>[1,3,1,1,1]=>1100111=>2 [1,5,4,2,3,7,6]=>[7,3,4,6,5,1,2]=>[1,3,1,2]=>1100110=>3 [1,5,4,2,6,3,7]=>[7,3,4,6,2,5,1]=>[1,3,2,1]=>1100101=>4 [1,5,4,2,6,7,3]=>[7,3,4,6,2,1,5]=>[1,3,1,2]=>1100110=>3 [1,5,4,2,7,3,6]=>[7,3,4,6,1,5,2]=>[1,3,2,1]=>1100101=>4 [1,5,4,2,7,6,3]=>[7,3,4,6,1,2,5]=>[1,3,3]=>1100100=>3 [1,5,4,3,2,6,7]=>[7,3,4,5,6,2,1]=>[1,4,1,1]=>1100011=>2 [1,5,4,3,2,7,6]=>[7,3,4,5,6,1,2]=>[1,4,2]=>1100010=>3 [1,5,4,3,6,2,7]=>[7,3,4,5,2,6,1]=>[1,3,2,1]=>1100101=>4 [1,5,4,3,6,7,2]=>[7,3,4,5,2,1,6]=>[1,3,1,2]=>1100110=>3 [1,5,4,3,7,2,6]=>[7,3,4,5,1,6,2]=>[1,3,2,1]=>1100101=>4 [1,5,4,3,7,6,2]=>[7,3,4,5,1,2,6]=>[1,3,3]=>1100100=>3 [1,5,4,6,2,3,7]=>[7,3,4,2,6,5,1]=>[1,2,2,1,1]=>1101011=>4 [1,5,4,6,2,7,3]=>[7,3,4,2,6,1,5]=>[1,2,2,2]=>1101010=>5 [1,5,4,6,3,2,7]=>[7,3,4,2,5,6,1]=>[1,2,3,1]=>1101001=>4 [1,5,4,6,3,7,2]=>[7,3,4,2,5,1,6]=>[1,2,2,2]=>1101010=>5 [1,5,4,6,7,2,3]=>[7,3,4,2,1,6,5]=>[1,2,1,2,1]=>1101101=>4 [1,5,4,6,7,3,2]=>[7,3,4,2,1,5,6]=>[1,2,1,3]=>1101100=>3 [1,5,4,7,2,3,6]=>[7,3,4,1,6,5,2]=>[1,2,2,1,1]=>1101011=>4 [1,5,4,7,2,6,3]=>[7,3,4,1,6,2,5]=>[1,2,2,2]=>1101010=>5 [1,5,4,7,3,2,6]=>[7,3,4,1,5,6,2]=>[1,2,3,1]=>1101001=>4 [1,5,4,7,3,6,2]=>[7,3,4,1,5,2,6]=>[1,2,2,2]=>1101010=>5 [1,5,4,7,6,2,3]=>[7,3,4,1,2,6,5]=>[1,2,3,1]=>1101001=>4 [1,5,4,7,6,3,2]=>[7,3,4,1,2,5,6]=>[1,2,4]=>1101000=>3 [1,5,6,2,3,4,7]=>[7,3,2,6,5,4,1]=>[1,1,2,1,1,1]=>1110111=>2 [1,5,6,2,3,7,4]=>[7,3,2,6,5,1,4]=>[1,1,2,1,2]=>1110110=>3 [1,5,6,2,4,3,7]=>[7,3,2,6,4,5,1]=>[1,1,2,2,1]=>1110101=>4 [1,5,6,2,4,7,3]=>[7,3,2,6,4,1,5]=>[1,1,2,1,2]=>1110110=>3 [1,5,6,2,7,3,4]=>[7,3,2,6,1,5,4]=>[1,1,2,2,1]=>1110101=>4 [1,5,6,2,7,4,3]=>[7,3,2,6,1,4,5]=>[1,1,2,3]=>1110100=>3 [1,5,6,3,2,4,7]=>[7,3,2,5,6,4,1]=>[1,1,3,1,1]=>1110011=>2 [1,5,6,3,2,7,4]=>[7,3,2,5,6,1,4]=>[1,1,3,2]=>1110010=>3 [1,5,6,3,4,2,7]=>[7,3,2,5,4,6,1]=>[1,1,2,2,1]=>1110101=>4 [1,5,6,3,4,7,2]=>[7,3,2,5,4,1,6]=>[1,1,2,1,2]=>1110110=>3 [1,5,6,3,7,2,4]=>[7,3,2,5,1,6,4]=>[1,1,2,2,1]=>1110101=>4 [1,5,6,3,7,4,2]=>[7,3,2,5,1,4,6]=>[1,1,2,3]=>1110100=>3 [1,5,6,4,2,3,7]=>[7,3,2,4,6,5,1]=>[1,1,3,1,1]=>1110011=>2 [1,5,6,4,2,7,3]=>[7,3,2,4,6,1,5]=>[1,1,3,2]=>1110010=>3 [1,5,6,4,3,2,7]=>[7,3,2,4,5,6,1]=>[1,1,4,1]=>1110001=>2 [1,5,6,4,3,7,2]=>[7,3,2,4,5,1,6]=>[1,1,3,2]=>1110010=>3 [1,5,6,4,7,2,3]=>[7,3,2,4,1,6,5]=>[1,1,2,2,1]=>1110101=>4 [1,5,6,4,7,3,2]=>[7,3,2,4,1,5,6]=>[1,1,2,3]=>1110100=>3 [1,5,6,7,2,3,4]=>[7,3,2,1,6,5,4]=>[1,1,1,2,1,1]=>1111011=>2 [1,5,6,7,2,4,3]=>[7,3,2,1,6,4,5]=>[1,1,1,2,2]=>1111010=>3 [1,5,6,7,3,2,4]=>[7,3,2,1,5,6,4]=>[1,1,1,3,1]=>1111001=>2 [1,5,6,7,3,4,2]=>[7,3,2,1,5,4,6]=>[1,1,1,2,2]=>1111010=>3 [1,5,6,7,4,2,3]=>[7,3,2,1,4,6,5]=>[1,1,1,3,1]=>1111001=>2 [1,5,6,7,4,3,2]=>[7,3,2,1,4,5,6]=>[1,1,1,4]=>1111000=>1 [1,5,7,2,3,4,6]=>[7,3,1,6,5,4,2]=>[1,1,2,1,1,1]=>1110111=>2 [1,5,7,2,3,6,4]=>[7,3,1,6,5,2,4]=>[1,1,2,1,2]=>1110110=>3 [1,5,7,2,4,3,6]=>[7,3,1,6,4,5,2]=>[1,1,2,2,1]=>1110101=>4 [1,5,7,2,4,6,3]=>[7,3,1,6,4,2,5]=>[1,1,2,1,2]=>1110110=>3 [1,5,7,2,6,3,4]=>[7,3,1,6,2,5,4]=>[1,1,2,2,1]=>1110101=>4 [1,5,7,2,6,4,3]=>[7,3,1,6,2,4,5]=>[1,1,2,3]=>1110100=>3 [1,5,7,3,2,4,6]=>[7,3,1,5,6,4,2]=>[1,1,3,1,1]=>1110011=>2 [1,5,7,3,2,6,4]=>[7,3,1,5,6,2,4]=>[1,1,3,2]=>1110010=>3 [1,5,7,3,4,2,6]=>[7,3,1,5,4,6,2]=>[1,1,2,2,1]=>1110101=>4 [1,5,7,3,4,6,2]=>[7,3,1,5,4,2,6]=>[1,1,2,1,2]=>1110110=>3 [1,5,7,3,6,2,4]=>[7,3,1,5,2,6,4]=>[1,1,2,2,1]=>1110101=>4 [1,5,7,3,6,4,2]=>[7,3,1,5,2,4,6]=>[1,1,2,3]=>1110100=>3 [1,5,7,4,2,3,6]=>[7,3,1,4,6,5,2]=>[1,1,3,1,1]=>1110011=>2 [1,5,7,4,2,6,3]=>[7,3,1,4,6,2,5]=>[1,1,3,2]=>1110010=>3 [1,5,7,4,3,2,6]=>[7,3,1,4,5,6,2]=>[1,1,4,1]=>1110001=>2 [1,5,7,4,3,6,2]=>[7,3,1,4,5,2,6]=>[1,1,3,2]=>1110010=>3 [1,5,7,4,6,2,3]=>[7,3,1,4,2,6,5]=>[1,1,2,2,1]=>1110101=>4 [1,5,7,4,6,3,2]=>[7,3,1,4,2,5,6]=>[1,1,2,3]=>1110100=>3 [1,5,7,6,2,3,4]=>[7,3,1,2,6,5,4]=>[1,1,3,1,1]=>1110011=>2 [1,5,7,6,2,4,3]=>[7,3,1,2,6,4,5]=>[1,1,3,2]=>1110010=>3 [1,5,7,6,3,2,4]=>[7,3,1,2,5,6,4]=>[1,1,4,1]=>1110001=>2 [1,5,7,6,3,4,2]=>[7,3,1,2,5,4,6]=>[1,1,3,2]=>1110010=>3 [1,5,7,6,4,2,3]=>[7,3,1,2,4,6,5]=>[1,1,4,1]=>1110001=>2 [1,5,7,6,4,3,2]=>[7,3,1,2,4,5,6]=>[1,1,5]=>1110000=>1 [1,6,2,3,4,5,7]=>[7,2,6,5,4,3,1]=>[1,2,1,1,1,1]=>1101111=>2 [1,6,2,3,4,7,5]=>[7,2,6,5,4,1,3]=>[1,2,1,1,2]=>1101110=>3 [1,6,2,3,5,4,7]=>[7,2,6,5,3,4,1]=>[1,2,1,2,1]=>1101101=>4 [1,6,2,3,5,7,4]=>[7,2,6,5,3,1,4]=>[1,2,1,1,2]=>1101110=>3 [1,6,2,3,7,4,5]=>[7,2,6,5,1,4,3]=>[1,2,1,2,1]=>1101101=>4 [1,6,2,3,7,5,4]=>[7,2,6,5,1,3,4]=>[1,2,1,3]=>1101100=>3 [1,6,2,4,3,5,7]=>[7,2,6,4,5,3,1]=>[1,2,2,1,1]=>1101011=>4 [1,6,2,4,3,7,5]=>[7,2,6,4,5,1,3]=>[1,2,2,2]=>1101010=>5 [1,6,2,4,5,3,7]=>[7,2,6,4,3,5,1]=>[1,2,1,2,1]=>1101101=>4 [1,6,2,4,5,7,3]=>[7,2,6,4,3,1,5]=>[1,2,1,1,2]=>1101110=>3 [1,6,2,4,7,3,5]=>[7,2,6,4,1,5,3]=>[1,2,1,2,1]=>1101101=>4 [1,6,2,4,7,5,3]=>[7,2,6,4,1,3,5]=>[1,2,1,3]=>1101100=>3 [1,6,2,5,3,4,7]=>[7,2,6,3,5,4,1]=>[1,2,2,1,1]=>1101011=>4 [1,6,2,5,3,7,4]=>[7,2,6,3,5,1,4]=>[1,2,2,2]=>1101010=>5 [1,6,2,5,4,3,7]=>[7,2,6,3,4,5,1]=>[1,2,3,1]=>1101001=>4 [1,6,2,5,4,7,3]=>[7,2,6,3,4,1,5]=>[1,2,2,2]=>1101010=>5 [1,6,2,5,7,3,4]=>[7,2,6,3,1,5,4]=>[1,2,1,2,1]=>1101101=>4 [1,6,2,5,7,4,3]=>[7,2,6,3,1,4,5]=>[1,2,1,3]=>1101100=>3 [1,6,2,7,3,4,5]=>[7,2,6,1,5,4,3]=>[1,2,2,1,1]=>1101011=>4 [1,6,2,7,3,5,4]=>[7,2,6,1,5,3,4]=>[1,2,2,2]=>1101010=>5 [1,6,2,7,4,3,5]=>[7,2,6,1,4,5,3]=>[1,2,3,1]=>1101001=>4 [1,6,2,7,4,5,3]=>[7,2,6,1,4,3,5]=>[1,2,2,2]=>1101010=>5 [1,6,2,7,5,3,4]=>[7,2,6,1,3,5,4]=>[1,2,3,1]=>1101001=>4 [1,6,2,7,5,4,3]=>[7,2,6,1,3,4,5]=>[1,2,4]=>1101000=>3 [1,6,3,2,4,5,7]=>[7,2,5,6,4,3,1]=>[1,3,1,1,1]=>1100111=>2 [1,6,3,2,4,7,5]=>[7,2,5,6,4,1,3]=>[1,3,1,2]=>1100110=>3 [1,6,3,2,5,4,7]=>[7,2,5,6,3,4,1]=>[1,3,2,1]=>1100101=>4 [1,6,3,2,5,7,4]=>[7,2,5,6,3,1,4]=>[1,3,1,2]=>1100110=>3 [1,6,3,2,7,4,5]=>[7,2,5,6,1,4,3]=>[1,3,2,1]=>1100101=>4 [1,6,3,2,7,5,4]=>[7,2,5,6,1,3,4]=>[1,3,3]=>1100100=>3 [1,6,3,4,2,5,7]=>[7,2,5,4,6,3,1]=>[1,2,2,1,1]=>1101011=>4 [1,6,3,4,2,7,5]=>[7,2,5,4,6,1,3]=>[1,2,2,2]=>1101010=>5 [1,6,3,4,5,2,7]=>[7,2,5,4,3,6,1]=>[1,2,1,2,1]=>1101101=>4 [1,6,3,4,5,7,2]=>[7,2,5,4,3,1,6]=>[1,2,1,1,2]=>1101110=>3 [1,6,3,4,7,2,5]=>[7,2,5,4,1,6,3]=>[1,2,1,2,1]=>1101101=>4 [1,6,3,4,7,5,2]=>[7,2,5,4,1,3,6]=>[1,2,1,3]=>1101100=>3 [1,6,3,5,2,4,7]=>[7,2,5,3,6,4,1]=>[1,2,2,1,1]=>1101011=>4 [1,6,3,5,2,7,4]=>[7,2,5,3,6,1,4]=>[1,2,2,2]=>1101010=>5 [1,6,3,5,4,2,7]=>[7,2,5,3,4,6,1]=>[1,2,3,1]=>1101001=>4 [1,6,3,5,4,7,2]=>[7,2,5,3,4,1,6]=>[1,2,2,2]=>1101010=>5 [1,6,3,5,7,2,4]=>[7,2,5,3,1,6,4]=>[1,2,1,2,1]=>1101101=>4 [1,6,3,5,7,4,2]=>[7,2,5,3,1,4,6]=>[1,2,1,3]=>1101100=>3 [1,6,3,7,2,4,5]=>[7,2,5,1,6,4,3]=>[1,2,2,1,1]=>1101011=>4 [1,6,3,7,2,5,4]=>[7,2,5,1,6,3,4]=>[1,2,2,2]=>1101010=>5 [1,6,3,7,4,2,5]=>[7,2,5,1,4,6,3]=>[1,2,3,1]=>1101001=>4 [1,6,3,7,4,5,2]=>[7,2,5,1,4,3,6]=>[1,2,2,2]=>1101010=>5 [1,6,3,7,5,2,4]=>[7,2,5,1,3,6,4]=>[1,2,3,1]=>1101001=>4 [1,6,3,7,5,4,2]=>[7,2,5,1,3,4,6]=>[1,2,4]=>1101000=>3 [1,6,4,2,3,5,7]=>[7,2,4,6,5,3,1]=>[1,3,1,1,1]=>1100111=>2 [1,6,4,2,3,7,5]=>[7,2,4,6,5,1,3]=>[1,3,1,2]=>1100110=>3 [1,6,4,2,5,3,7]=>[7,2,4,6,3,5,1]=>[1,3,2,1]=>1100101=>4 [1,6,4,2,5,7,3]=>[7,2,4,6,3,1,5]=>[1,3,1,2]=>1100110=>3 [1,6,4,2,7,3,5]=>[7,2,4,6,1,5,3]=>[1,3,2,1]=>1100101=>4 [1,6,4,2,7,5,3]=>[7,2,4,6,1,3,5]=>[1,3,3]=>1100100=>3 [1,6,4,3,2,5,7]=>[7,2,4,5,6,3,1]=>[1,4,1,1]=>1100011=>2 [1,6,4,3,2,7,5]=>[7,2,4,5,6,1,3]=>[1,4,2]=>1100010=>3 [1,6,4,3,5,2,7]=>[7,2,4,5,3,6,1]=>[1,3,2,1]=>1100101=>4 [1,6,4,3,5,7,2]=>[7,2,4,5,3,1,6]=>[1,3,1,2]=>1100110=>3 [1,6,4,3,7,2,5]=>[7,2,4,5,1,6,3]=>[1,3,2,1]=>1100101=>4 [1,6,4,3,7,5,2]=>[7,2,4,5,1,3,6]=>[1,3,3]=>1100100=>3 [1,6,4,5,2,3,7]=>[7,2,4,3,6,5,1]=>[1,2,2,1,1]=>1101011=>4 [1,6,4,5,2,7,3]=>[7,2,4,3,6,1,5]=>[1,2,2,2]=>1101010=>5 [1,6,4,5,3,2,7]=>[7,2,4,3,5,6,1]=>[1,2,3,1]=>1101001=>4 [1,6,4,5,3,7,2]=>[7,2,4,3,5,1,6]=>[1,2,2,2]=>1101010=>5 [1,6,4,5,7,2,3]=>[7,2,4,3,1,6,5]=>[1,2,1,2,1]=>1101101=>4 [1,6,4,5,7,3,2]=>[7,2,4,3,1,5,6]=>[1,2,1,3]=>1101100=>3 [1,6,4,7,2,3,5]=>[7,2,4,1,6,5,3]=>[1,2,2,1,1]=>1101011=>4 [1,6,4,7,2,5,3]=>[7,2,4,1,6,3,5]=>[1,2,2,2]=>1101010=>5 [1,6,4,7,3,2,5]=>[7,2,4,1,5,6,3]=>[1,2,3,1]=>1101001=>4 [1,6,4,7,3,5,2]=>[7,2,4,1,5,3,6]=>[1,2,2,2]=>1101010=>5 [1,6,4,7,5,2,3]=>[7,2,4,1,3,6,5]=>[1,2,3,1]=>1101001=>4 [1,6,4,7,5,3,2]=>[7,2,4,1,3,5,6]=>[1,2,4]=>1101000=>3 [1,6,5,2,3,4,7]=>[7,2,3,6,5,4,1]=>[1,3,1,1,1]=>1100111=>2 [1,6,5,2,3,7,4]=>[7,2,3,6,5,1,4]=>[1,3,1,2]=>1100110=>3 [1,6,5,2,4,3,7]=>[7,2,3,6,4,5,1]=>[1,3,2,1]=>1100101=>4 [1,6,5,2,4,7,3]=>[7,2,3,6,4,1,5]=>[1,3,1,2]=>1100110=>3 [1,6,5,2,7,3,4]=>[7,2,3,6,1,5,4]=>[1,3,2,1]=>1100101=>4 [1,6,5,2,7,4,3]=>[7,2,3,6,1,4,5]=>[1,3,3]=>1100100=>3 [1,6,5,3,2,4,7]=>[7,2,3,5,6,4,1]=>[1,4,1,1]=>1100011=>2 [1,6,5,3,2,7,4]=>[7,2,3,5,6,1,4]=>[1,4,2]=>1100010=>3 [1,6,5,3,4,2,7]=>[7,2,3,5,4,6,1]=>[1,3,2,1]=>1100101=>4 [1,6,5,3,4,7,2]=>[7,2,3,5,4,1,6]=>[1,3,1,2]=>1100110=>3 [1,6,5,3,7,2,4]=>[7,2,3,5,1,6,4]=>[1,3,2,1]=>1100101=>4 [1,6,5,3,7,4,2]=>[7,2,3,5,1,4,6]=>[1,3,3]=>1100100=>3 [1,6,5,4,2,3,7]=>[7,2,3,4,6,5,1]=>[1,4,1,1]=>1100011=>2 [1,6,5,4,2,7,3]=>[7,2,3,4,6,1,5]=>[1,4,2]=>1100010=>3 [1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>[1,5,1]=>1100001=>2 [1,6,5,4,3,7,2]=>[7,2,3,4,5,1,6]=>[1,4,2]=>1100010=>3 [1,6,5,4,7,2,3]=>[7,2,3,4,1,6,5]=>[1,3,2,1]=>1100101=>4 [1,6,5,4,7,3,2]=>[7,2,3,4,1,5,6]=>[1,3,3]=>1100100=>3 [1,6,5,7,2,3,4]=>[7,2,3,1,6,5,4]=>[1,2,2,1,1]=>1101011=>4 [1,6,5,7,2,4,3]=>[7,2,3,1,6,4,5]=>[1,2,2,2]=>1101010=>5 [1,6,5,7,3,2,4]=>[7,2,3,1,5,6,4]=>[1,2,3,1]=>1101001=>4 [1,6,5,7,3,4,2]=>[7,2,3,1,5,4,6]=>[1,2,2,2]=>1101010=>5 [1,6,5,7,4,2,3]=>[7,2,3,1,4,6,5]=>[1,2,3,1]=>1101001=>4 [1,6,5,7,4,3,2]=>[7,2,3,1,4,5,6]=>[1,2,4]=>1101000=>3 [1,6,7,2,3,4,5]=>[7,2,1,6,5,4,3]=>[1,1,2,1,1,1]=>1110111=>2 [1,6,7,2,3,5,4]=>[7,2,1,6,5,3,4]=>[1,1,2,1,2]=>1110110=>3 [1,6,7,2,4,3,5]=>[7,2,1,6,4,5,3]=>[1,1,2,2,1]=>1110101=>4 [1,6,7,2,4,5,3]=>[7,2,1,6,4,3,5]=>[1,1,2,1,2]=>1110110=>3 [1,6,7,2,5,3,4]=>[7,2,1,6,3,5,4]=>[1,1,2,2,1]=>1110101=>4 [1,6,7,2,5,4,3]=>[7,2,1,6,3,4,5]=>[1,1,2,3]=>1110100=>3 [1,6,7,3,2,4,5]=>[7,2,1,5,6,4,3]=>[1,1,3,1,1]=>1110011=>2 [1,6,7,3,2,5,4]=>[7,2,1,5,6,3,4]=>[1,1,3,2]=>1110010=>3 [1,6,7,3,4,2,5]=>[7,2,1,5,4,6,3]=>[1,1,2,2,1]=>1110101=>4 [1,6,7,3,4,5,2]=>[7,2,1,5,4,3,6]=>[1,1,2,1,2]=>1110110=>3 [1,6,7,3,5,2,4]=>[7,2,1,5,3,6,4]=>[1,1,2,2,1]=>1110101=>4 [1,6,7,3,5,4,2]=>[7,2,1,5,3,4,6]=>[1,1,2,3]=>1110100=>3 [1,6,7,4,2,3,5]=>[7,2,1,4,6,5,3]=>[1,1,3,1,1]=>1110011=>2 [1,6,7,4,2,5,3]=>[7,2,1,4,6,3,5]=>[1,1,3,2]=>1110010=>3 [1,6,7,4,3,2,5]=>[7,2,1,4,5,6,3]=>[1,1,4,1]=>1110001=>2 [1,6,7,4,3,5,2]=>[7,2,1,4,5,3,6]=>[1,1,3,2]=>1110010=>3 [1,6,7,4,5,2,3]=>[7,2,1,4,3,6,5]=>[1,1,2,2,1]=>1110101=>4 [1,6,7,4,5,3,2]=>[7,2,1,4,3,5,6]=>[1,1,2,3]=>1110100=>3 [1,6,7,5,2,3,4]=>[7,2,1,3,6,5,4]=>[1,1,3,1,1]=>1110011=>2 [1,6,7,5,2,4,3]=>[7,2,1,3,6,4,5]=>[1,1,3,2]=>1110010=>3 [1,6,7,5,3,2,4]=>[7,2,1,3,5,6,4]=>[1,1,4,1]=>1110001=>2 [1,6,7,5,3,4,2]=>[7,2,1,3,5,4,6]=>[1,1,3,2]=>1110010=>3 [1,6,7,5,4,2,3]=>[7,2,1,3,4,6,5]=>[1,1,4,1]=>1110001=>2 [1,6,7,5,4,3,2]=>[7,2,1,3,4,5,6]=>[1,1,5]=>1110000=>1 [1,7,2,3,4,5,6]=>[7,1,6,5,4,3,2]=>[1,2,1,1,1,1]=>1101111=>2 [1,7,2,3,4,6,5]=>[7,1,6,5,4,2,3]=>[1,2,1,1,2]=>1101110=>3 [1,7,2,3,5,4,6]=>[7,1,6,5,3,4,2]=>[1,2,1,2,1]=>1101101=>4 [1,7,2,3,5,6,4]=>[7,1,6,5,3,2,4]=>[1,2,1,1,2]=>1101110=>3 [1,7,2,3,6,4,5]=>[7,1,6,5,2,4,3]=>[1,2,1,2,1]=>1101101=>4 [1,7,2,3,6,5,4]=>[7,1,6,5,2,3,4]=>[1,2,1,3]=>1101100=>3 [1,7,2,4,3,5,6]=>[7,1,6,4,5,3,2]=>[1,2,2,1,1]=>1101011=>4 [1,7,2,4,3,6,5]=>[7,1,6,4,5,2,3]=>[1,2,2,2]=>1101010=>5 [1,7,2,4,5,3,6]=>[7,1,6,4,3,5,2]=>[1,2,1,2,1]=>1101101=>4 [1,7,2,4,5,6,3]=>[7,1,6,4,3,2,5]=>[1,2,1,1,2]=>1101110=>3 [1,7,2,4,6,3,5]=>[7,1,6,4,2,5,3]=>[1,2,1,2,1]=>1101101=>4 [1,7,2,4,6,5,3]=>[7,1,6,4,2,3,5]=>[1,2,1,3]=>1101100=>3 [1,7,2,5,3,4,6]=>[7,1,6,3,5,4,2]=>[1,2,2,1,1]=>1101011=>4 [1,7,2,5,3,6,4]=>[7,1,6,3,5,2,4]=>[1,2,2,2]=>1101010=>5 [1,7,2,5,4,3,6]=>[7,1,6,3,4,5,2]=>[1,2,3,1]=>1101001=>4 [1,7,2,5,4,6,3]=>[7,1,6,3,4,2,5]=>[1,2,2,2]=>1101010=>5 [1,7,2,5,6,3,4]=>[7,1,6,3,2,5,4]=>[1,2,1,2,1]=>1101101=>4 [1,7,2,5,6,4,3]=>[7,1,6,3,2,4,5]=>[1,2,1,3]=>1101100=>3 [1,7,2,6,3,4,5]=>[7,1,6,2,5,4,3]=>[1,2,2,1,1]=>1101011=>4 [1,7,2,6,3,5,4]=>[7,1,6,2,5,3,4]=>[1,2,2,2]=>1101010=>5 [1,7,2,6,4,3,5]=>[7,1,6,2,4,5,3]=>[1,2,3,1]=>1101001=>4 [1,7,2,6,4,5,3]=>[7,1,6,2,4,3,5]=>[1,2,2,2]=>1101010=>5 [1,7,2,6,5,3,4]=>[7,1,6,2,3,5,4]=>[1,2,3,1]=>1101001=>4 [1,7,2,6,5,4,3]=>[7,1,6,2,3,4,5]=>[1,2,4]=>1101000=>3 [1,7,3,2,4,5,6]=>[7,1,5,6,4,3,2]=>[1,3,1,1,1]=>1100111=>2 [1,7,3,2,4,6,5]=>[7,1,5,6,4,2,3]=>[1,3,1,2]=>1100110=>3 [1,7,3,2,5,4,6]=>[7,1,5,6,3,4,2]=>[1,3,2,1]=>1100101=>4 [1,7,3,2,5,6,4]=>[7,1,5,6,3,2,4]=>[1,3,1,2]=>1100110=>3 [1,7,3,2,6,4,5]=>[7,1,5,6,2,4,3]=>[1,3,2,1]=>1100101=>4 [1,7,3,2,6,5,4]=>[7,1,5,6,2,3,4]=>[1,3,3]=>1100100=>3 [1,7,3,4,2,5,6]=>[7,1,5,4,6,3,2]=>[1,2,2,1,1]=>1101011=>4 [1,7,3,4,2,6,5]=>[7,1,5,4,6,2,3]=>[1,2,2,2]=>1101010=>5 [1,7,3,4,5,2,6]=>[7,1,5,4,3,6,2]=>[1,2,1,2,1]=>1101101=>4 [1,7,3,4,5,6,2]=>[7,1,5,4,3,2,6]=>[1,2,1,1,2]=>1101110=>3 [1,7,3,4,6,2,5]=>[7,1,5,4,2,6,3]=>[1,2,1,2,1]=>1101101=>4 [1,7,3,4,6,5,2]=>[7,1,5,4,2,3,6]=>[1,2,1,3]=>1101100=>3 [1,7,3,5,2,4,6]=>[7,1,5,3,6,4,2]=>[1,2,2,1,1]=>1101011=>4 [1,7,3,5,2,6,4]=>[7,1,5,3,6,2,4]=>[1,2,2,2]=>1101010=>5 [1,7,3,5,4,2,6]=>[7,1,5,3,4,6,2]=>[1,2,3,1]=>1101001=>4 [1,7,3,5,4,6,2]=>[7,1,5,3,4,2,6]=>[1,2,2,2]=>1101010=>5 [1,7,3,5,6,2,4]=>[7,1,5,3,2,6,4]=>[1,2,1,2,1]=>1101101=>4 [1,7,3,5,6,4,2]=>[7,1,5,3,2,4,6]=>[1,2,1,3]=>1101100=>3 [1,7,3,6,2,4,5]=>[7,1,5,2,6,4,3]=>[1,2,2,1,1]=>1101011=>4 [1,7,3,6,2,5,4]=>[7,1,5,2,6,3,4]=>[1,2,2,2]=>1101010=>5 [1,7,3,6,4,2,5]=>[7,1,5,2,4,6,3]=>[1,2,3,1]=>1101001=>4 [1,7,3,6,4,5,2]=>[7,1,5,2,4,3,6]=>[1,2,2,2]=>1101010=>5 [1,7,3,6,5,2,4]=>[7,1,5,2,3,6,4]=>[1,2,3,1]=>1101001=>4 [1,7,3,6,5,4,2]=>[7,1,5,2,3,4,6]=>[1,2,4]=>1101000=>3 [1,7,4,2,3,5,6]=>[7,1,4,6,5,3,2]=>[1,3,1,1,1]=>1100111=>2 [1,7,4,2,3,6,5]=>[7,1,4,6,5,2,3]=>[1,3,1,2]=>1100110=>3 [1,7,4,2,5,3,6]=>[7,1,4,6,3,5,2]=>[1,3,2,1]=>1100101=>4 [1,7,4,2,5,6,3]=>[7,1,4,6,3,2,5]=>[1,3,1,2]=>1100110=>3 [1,7,4,2,6,3,5]=>[7,1,4,6,2,5,3]=>[1,3,2,1]=>1100101=>4 [1,7,4,2,6,5,3]=>[7,1,4,6,2,3,5]=>[1,3,3]=>1100100=>3 [1,7,4,3,2,5,6]=>[7,1,4,5,6,3,2]=>[1,4,1,1]=>1100011=>2 [1,7,4,3,2,6,5]=>[7,1,4,5,6,2,3]=>[1,4,2]=>1100010=>3 [1,7,4,3,5,2,6]=>[7,1,4,5,3,6,2]=>[1,3,2,1]=>1100101=>4 [1,7,4,3,5,6,2]=>[7,1,4,5,3,2,6]=>[1,3,1,2]=>1100110=>3 [1,7,4,3,6,2,5]=>[7,1,4,5,2,6,3]=>[1,3,2,1]=>1100101=>4 [1,7,4,3,6,5,2]=>[7,1,4,5,2,3,6]=>[1,3,3]=>1100100=>3 [1,7,4,5,2,3,6]=>[7,1,4,3,6,5,2]=>[1,2,2,1,1]=>1101011=>4 [1,7,4,5,2,6,3]=>[7,1,4,3,6,2,5]=>[1,2,2,2]=>1101010=>5 [1,7,4,5,3,2,6]=>[7,1,4,3,5,6,2]=>[1,2,3,1]=>1101001=>4 [1,7,4,5,3,6,2]=>[7,1,4,3,5,2,6]=>[1,2,2,2]=>1101010=>5 [1,7,4,5,6,2,3]=>[7,1,4,3,2,6,5]=>[1,2,1,2,1]=>1101101=>4 [1,7,4,5,6,3,2]=>[7,1,4,3,2,5,6]=>[1,2,1,3]=>1101100=>3 [1,7,4,6,2,3,5]=>[7,1,4,2,6,5,3]=>[1,2,2,1,1]=>1101011=>4 [1,7,4,6,2,5,3]=>[7,1,4,2,6,3,5]=>[1,2,2,2]=>1101010=>5 [1,7,4,6,3,2,5]=>[7,1,4,2,5,6,3]=>[1,2,3,1]=>1101001=>4 [1,7,4,6,3,5,2]=>[7,1,4,2,5,3,6]=>[1,2,2,2]=>1101010=>5 [1,7,4,6,5,2,3]=>[7,1,4,2,3,6,5]=>[1,2,3,1]=>1101001=>4 [1,7,4,6,5,3,2]=>[7,1,4,2,3,5,6]=>[1,2,4]=>1101000=>3 [1,7,5,2,3,4,6]=>[7,1,3,6,5,4,2]=>[1,3,1,1,1]=>1100111=>2 [1,7,5,2,3,6,4]=>[7,1,3,6,5,2,4]=>[1,3,1,2]=>1100110=>3 [1,7,5,2,4,3,6]=>[7,1,3,6,4,5,2]=>[1,3,2,1]=>1100101=>4 [1,7,5,2,4,6,3]=>[7,1,3,6,4,2,5]=>[1,3,1,2]=>1100110=>3 [1,7,5,2,6,3,4]=>[7,1,3,6,2,5,4]=>[1,3,2,1]=>1100101=>4 [1,7,5,2,6,4,3]=>[7,1,3,6,2,4,5]=>[1,3,3]=>1100100=>3 [1,7,5,3,2,4,6]=>[7,1,3,5,6,4,2]=>[1,4,1,1]=>1100011=>2 [1,7,5,3,2,6,4]=>[7,1,3,5,6,2,4]=>[1,4,2]=>1100010=>3 [1,7,5,3,4,2,6]=>[7,1,3,5,4,6,2]=>[1,3,2,1]=>1100101=>4 [1,7,5,3,4,6,2]=>[7,1,3,5,4,2,6]=>[1,3,1,2]=>1100110=>3 [1,7,5,3,6,2,4]=>[7,1,3,5,2,6,4]=>[1,3,2,1]=>1100101=>4 [1,7,5,3,6,4,2]=>[7,1,3,5,2,4,6]=>[1,3,3]=>1100100=>3 [1,7,5,4,2,3,6]=>[7,1,3,4,6,5,2]=>[1,4,1,1]=>1100011=>2 [1,7,5,4,2,6,3]=>[7,1,3,4,6,2,5]=>[1,4,2]=>1100010=>3 [1,7,5,4,3,2,6]=>[7,1,3,4,5,6,2]=>[1,5,1]=>1100001=>2 [1,7,5,4,3,6,2]=>[7,1,3,4,5,2,6]=>[1,4,2]=>1100010=>3 [1,7,5,4,6,2,3]=>[7,1,3,4,2,6,5]=>[1,3,2,1]=>1100101=>4 [1,7,5,4,6,3,2]=>[7,1,3,4,2,5,6]=>[1,3,3]=>1100100=>3 [1,7,5,6,2,3,4]=>[7,1,3,2,6,5,4]=>[1,2,2,1,1]=>1101011=>4 [1,7,5,6,2,4,3]=>[7,1,3,2,6,4,5]=>[1,2,2,2]=>1101010=>5 [1,7,5,6,3,2,4]=>[7,1,3,2,5,6,4]=>[1,2,3,1]=>1101001=>4 [1,7,5,6,3,4,2]=>[7,1,3,2,5,4,6]=>[1,2,2,2]=>1101010=>5 [1,7,5,6,4,2,3]=>[7,1,3,2,4,6,5]=>[1,2,3,1]=>1101001=>4 [1,7,5,6,4,3,2]=>[7,1,3,2,4,5,6]=>[1,2,4]=>1101000=>3 [1,7,6,2,3,4,5]=>[7,1,2,6,5,4,3]=>[1,3,1,1,1]=>1100111=>2 [1,7,6,2,3,5,4]=>[7,1,2,6,5,3,4]=>[1,3,1,2]=>1100110=>3 [1,7,6,2,4,3,5]=>[7,1,2,6,4,5,3]=>[1,3,2,1]=>1100101=>4 [1,7,6,2,4,5,3]=>[7,1,2,6,4,3,5]=>[1,3,1,2]=>1100110=>3 [1,7,6,2,5,3,4]=>[7,1,2,6,3,5,4]=>[1,3,2,1]=>1100101=>4 [1,7,6,2,5,4,3]=>[7,1,2,6,3,4,5]=>[1,3,3]=>1100100=>3 [1,7,6,3,2,4,5]=>[7,1,2,5,6,4,3]=>[1,4,1,1]=>1100011=>2 [1,7,6,3,2,5,4]=>[7,1,2,5,6,3,4]=>[1,4,2]=>1100010=>3 [1,7,6,3,4,2,5]=>[7,1,2,5,4,6,3]=>[1,3,2,1]=>1100101=>4 [1,7,6,3,4,5,2]=>[7,1,2,5,4,3,6]=>[1,3,1,2]=>1100110=>3 [1,7,6,3,5,2,4]=>[7,1,2,5,3,6,4]=>[1,3,2,1]=>1100101=>4 [1,7,6,3,5,4,2]=>[7,1,2,5,3,4,6]=>[1,3,3]=>1100100=>3 [1,7,6,4,2,3,5]=>[7,1,2,4,6,5,3]=>[1,4,1,1]=>1100011=>2 [1,7,6,4,2,5,3]=>[7,1,2,4,6,3,5]=>[1,4,2]=>1100010=>3 [1,7,6,4,3,2,5]=>[7,1,2,4,5,6,3]=>[1,5,1]=>1100001=>2 [1,7,6,4,3,5,2]=>[7,1,2,4,5,3,6]=>[1,4,2]=>1100010=>3 [1,7,6,4,5,2,3]=>[7,1,2,4,3,6,5]=>[1,3,2,1]=>1100101=>4 [1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[1,3,3]=>1100100=>3 [1,7,6,5,2,3,4]=>[7,1,2,3,6,5,4]=>[1,4,1,1]=>1100011=>2 [1,7,6,5,2,4,3]=>[7,1,2,3,6,4,5]=>[1,4,2]=>1100010=>3 [1,7,6,5,3,2,4]=>[7,1,2,3,5,6,4]=>[1,5,1]=>1100001=>2 [1,7,6,5,3,4,2]=>[7,1,2,3,5,4,6]=>[1,4,2]=>1100010=>3 [1,7,6,5,4,2,3]=>[7,1,2,3,4,6,5]=>[1,5,1]=>1100001=>2 [1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[1,6]=>1100000=>1 [2,1,3,4,5,6,7]=>[6,7,5,4,3,2,1]=>[2,1,1,1,1,1]=>1011111=>2 [2,1,3,4,5,7,6]=>[6,7,5,4,3,1,2]=>[2,1,1,1,2]=>1011110=>3 [2,1,3,4,6,5,7]=>[6,7,5,4,2,3,1]=>[2,1,1,2,1]=>1011101=>4 [2,1,3,4,6,7,5]=>[6,7,5,4,2,1,3]=>[2,1,1,1,2]=>1011110=>3 [2,1,3,4,7,5,6]=>[6,7,5,4,1,3,2]=>[2,1,1,2,1]=>1011101=>4 [2,1,3,4,7,6,5]=>[6,7,5,4,1,2,3]=>[2,1,1,3]=>1011100=>3 [2,1,3,5,4,6,7]=>[6,7,5,3,4,2,1]=>[2,1,2,1,1]=>1011011=>4 [2,1,3,5,4,7,6]=>[6,7,5,3,4,1,2]=>[2,1,2,2]=>1011010=>5 [2,1,3,5,6,4,7]=>[6,7,5,3,2,4,1]=>[2,1,1,2,1]=>1011101=>4 [2,1,3,5,6,7,4]=>[6,7,5,3,2,1,4]=>[2,1,1,1,2]=>1011110=>3 [2,1,3,5,7,4,6]=>[6,7,5,3,1,4,2]=>[2,1,1,2,1]=>1011101=>4 [2,1,3,5,7,6,4]=>[6,7,5,3,1,2,4]=>[2,1,1,3]=>1011100=>3 [2,1,3,6,4,5,7]=>[6,7,5,2,4,3,1]=>[2,1,2,1,1]=>1011011=>4 [2,1,3,6,4,7,5]=>[6,7,5,2,4,1,3]=>[2,1,2,2]=>1011010=>5 [2,1,3,6,5,4,7]=>[6,7,5,2,3,4,1]=>[2,1,3,1]=>1011001=>4 [2,1,3,6,5,7,4]=>[6,7,5,2,3,1,4]=>[2,1,2,2]=>1011010=>5 [2,1,3,6,7,4,5]=>[6,7,5,2,1,4,3]=>[2,1,1,2,1]=>1011101=>4 [2,1,3,6,7,5,4]=>[6,7,5,2,1,3,4]=>[2,1,1,3]=>1011100=>3 [2,1,3,7,4,5,6]=>[6,7,5,1,4,3,2]=>[2,1,2,1,1]=>1011011=>4 [2,1,3,7,4,6,5]=>[6,7,5,1,4,2,3]=>[2,1,2,2]=>1011010=>5 [2,1,3,7,5,4,6]=>[6,7,5,1,3,4,2]=>[2,1,3,1]=>1011001=>4 [2,1,3,7,5,6,4]=>[6,7,5,1,3,2,4]=>[2,1,2,2]=>1011010=>5 [2,1,3,7,6,4,5]=>[6,7,5,1,2,4,3]=>[2,1,3,1]=>1011001=>4 [2,1,3,7,6,5,4]=>[6,7,5,1,2,3,4]=>[2,1,4]=>1011000=>3 [2,1,4,3,5,6,7]=>[6,7,4,5,3,2,1]=>[2,2,1,1,1]=>1010111=>4 [2,1,4,3,5,7,6]=>[6,7,4,5,3,1,2]=>[2,2,1,2]=>1010110=>5 [2,1,4,3,6,5,7]=>[6,7,4,5,2,3,1]=>[2,2,2,1]=>1010101=>6 [2,1,4,3,6,7,5]=>[6,7,4,5,2,1,3]=>[2,2,1,2]=>1010110=>5 [2,1,4,3,7,5,6]=>[6,7,4,5,1,3,2]=>[2,2,2,1]=>1010101=>6 [2,1,4,3,7,6,5]=>[6,7,4,5,1,2,3]=>[2,2,3]=>1010100=>5 [2,1,4,5,3,6,7]=>[6,7,4,3,5,2,1]=>[2,1,2,1,1]=>1011011=>4 [2,1,4,5,3,7,6]=>[6,7,4,3,5,1,2]=>[2,1,2,2]=>1011010=>5 [2,1,4,5,6,3,7]=>[6,7,4,3,2,5,1]=>[2,1,1,2,1]=>1011101=>4 [2,1,4,5,6,7,3]=>[6,7,4,3,2,1,5]=>[2,1,1,1,2]=>1011110=>3 [2,1,4,5,7,3,6]=>[6,7,4,3,1,5,2]=>[2,1,1,2,1]=>1011101=>4 [2,1,4,5,7,6,3]=>[6,7,4,3,1,2,5]=>[2,1,1,3]=>1011100=>3 [2,1,4,6,3,5,7]=>[6,7,4,2,5,3,1]=>[2,1,2,1,1]=>1011011=>4 [2,1,4,6,3,7,5]=>[6,7,4,2,5,1,3]=>[2,1,2,2]=>1011010=>5 [2,1,4,6,5,3,7]=>[6,7,4,2,3,5,1]=>[2,1,3,1]=>1011001=>4 [2,1,4,6,5,7,3]=>[6,7,4,2,3,1,5]=>[2,1,2,2]=>1011010=>5 [2,1,4,6,7,3,5]=>[6,7,4,2,1,5,3]=>[2,1,1,2,1]=>1011101=>4 [2,1,4,6,7,5,3]=>[6,7,4,2,1,3,5]=>[2,1,1,3]=>1011100=>3 [2,1,4,7,3,5,6]=>[6,7,4,1,5,3,2]=>[2,1,2,1,1]=>1011011=>4 [2,1,4,7,3,6,5]=>[6,7,4,1,5,2,3]=>[2,1,2,2]=>1011010=>5 [2,1,4,7,5,3,6]=>[6,7,4,1,3,5,2]=>[2,1,3,1]=>1011001=>4 [2,1,4,7,5,6,3]=>[6,7,4,1,3,2,5]=>[2,1,2,2]=>1011010=>5 [2,1,4,7,6,3,5]=>[6,7,4,1,2,5,3]=>[2,1,3,1]=>1011001=>4 [2,1,4,7,6,5,3]=>[6,7,4,1,2,3,5]=>[2,1,4]=>1011000=>3 [2,1,5,3,4,6,7]=>[6,7,3,5,4,2,1]=>[2,2,1,1,1]=>1010111=>4 [2,1,5,3,4,7,6]=>[6,7,3,5,4,1,2]=>[2,2,1,2]=>1010110=>5 [2,1,5,3,6,4,7]=>[6,7,3,5,2,4,1]=>[2,2,2,1]=>1010101=>6 [2,1,5,3,6,7,4]=>[6,7,3,5,2,1,4]=>[2,2,1,2]=>1010110=>5 [2,1,5,3,7,4,6]=>[6,7,3,5,1,4,2]=>[2,2,2,1]=>1010101=>6 [2,1,5,3,7,6,4]=>[6,7,3,5,1,2,4]=>[2,2,3]=>1010100=>5 [2,1,5,4,3,6,7]=>[6,7,3,4,5,2,1]=>[2,3,1,1]=>1010011=>4 [2,1,5,4,3,7,6]=>[6,7,3,4,5,1,2]=>[2,3,2]=>1010010=>5 [2,1,5,4,6,3,7]=>[6,7,3,4,2,5,1]=>[2,2,2,1]=>1010101=>6 [2,1,5,4,6,7,3]=>[6,7,3,4,2,1,5]=>[2,2,1,2]=>1010110=>5 [2,1,5,4,7,3,6]=>[6,7,3,4,1,5,2]=>[2,2,2,1]=>1010101=>6 [2,1,5,4,7,6,3]=>[6,7,3,4,1,2,5]=>[2,2,3]=>1010100=>5 [2,1,5,6,3,4,7]=>[6,7,3,2,5,4,1]=>[2,1,2,1,1]=>1011011=>4 [2,1,5,6,3,7,4]=>[6,7,3,2,5,1,4]=>[2,1,2,2]=>1011010=>5 [2,1,5,6,4,3,7]=>[6,7,3,2,4,5,1]=>[2,1,3,1]=>1011001=>4 [2,1,5,6,4,7,3]=>[6,7,3,2,4,1,5]=>[2,1,2,2]=>1011010=>5 [2,1,5,6,7,3,4]=>[6,7,3,2,1,5,4]=>[2,1,1,2,1]=>1011101=>4 [2,1,5,6,7,4,3]=>[6,7,3,2,1,4,5]=>[2,1,1,3]=>1011100=>3 [2,1,5,7,3,4,6]=>[6,7,3,1,5,4,2]=>[2,1,2,1,1]=>1011011=>4 [2,1,5,7,3,6,4]=>[6,7,3,1,5,2,4]=>[2,1,2,2]=>1011010=>5 [2,1,5,7,4,3,6]=>[6,7,3,1,4,5,2]=>[2,1,3,1]=>1011001=>4 [2,1,5,7,4,6,3]=>[6,7,3,1,4,2,5]=>[2,1,2,2]=>1011010=>5 [2,1,5,7,6,3,4]=>[6,7,3,1,2,5,4]=>[2,1,3,1]=>1011001=>4 [2,1,5,7,6,4,3]=>[6,7,3,1,2,4,5]=>[2,1,4]=>1011000=>3 [2,1,6,3,4,5,7]=>[6,7,2,5,4,3,1]=>[2,2,1,1,1]=>1010111=>4 [2,1,6,3,4,7,5]=>[6,7,2,5,4,1,3]=>[2,2,1,2]=>1010110=>5 [2,1,6,3,5,4,7]=>[6,7,2,5,3,4,1]=>[2,2,2,1]=>1010101=>6 [2,1,6,3,5,7,4]=>[6,7,2,5,3,1,4]=>[2,2,1,2]=>1010110=>5 [2,1,6,3,7,4,5]=>[6,7,2,5,1,4,3]=>[2,2,2,1]=>1010101=>6 [2,1,6,3,7,5,4]=>[6,7,2,5,1,3,4]=>[2,2,3]=>1010100=>5 [2,1,6,4,3,5,7]=>[6,7,2,4,5,3,1]=>[2,3,1,1]=>1010011=>4 [2,1,6,4,3,7,5]=>[6,7,2,4,5,1,3]=>[2,3,2]=>1010010=>5 [2,1,6,4,5,3,7]=>[6,7,2,4,3,5,1]=>[2,2,2,1]=>1010101=>6 [2,1,6,4,5,7,3]=>[6,7,2,4,3,1,5]=>[2,2,1,2]=>1010110=>5 [2,1,6,4,7,3,5]=>[6,7,2,4,1,5,3]=>[2,2,2,1]=>1010101=>6 [2,1,6,4,7,5,3]=>[6,7,2,4,1,3,5]=>[2,2,3]=>1010100=>5 [2,1,6,5,3,4,7]=>[6,7,2,3,5,4,1]=>[2,3,1,1]=>1010011=>4 [2,1,6,5,3,7,4]=>[6,7,2,3,5,1,4]=>[2,3,2]=>1010010=>5 [2,1,6,5,4,3,7]=>[6,7,2,3,4,5,1]=>[2,4,1]=>1010001=>4 [2,1,6,5,4,7,3]=>[6,7,2,3,4,1,5]=>[2,3,2]=>1010010=>5 [2,1,6,5,7,3,4]=>[6,7,2,3,1,5,4]=>[2,2,2,1]=>1010101=>6 [2,1,6,5,7,4,3]=>[6,7,2,3,1,4,5]=>[2,2,3]=>1010100=>5 [2,1,6,7,3,4,5]=>[6,7,2,1,5,4,3]=>[2,1,2,1,1]=>1011011=>4 [2,1,6,7,3,5,4]=>[6,7,2,1,5,3,4]=>[2,1,2,2]=>1011010=>5 [2,1,6,7,4,3,5]=>[6,7,2,1,4,5,3]=>[2,1,3,1]=>1011001=>4 [2,1,6,7,4,5,3]=>[6,7,2,1,4,3,5]=>[2,1,2,2]=>1011010=>5 [2,1,6,7,5,3,4]=>[6,7,2,1,3,5,4]=>[2,1,3,1]=>1011001=>4 [2,1,6,7,5,4,3]=>[6,7,2,1,3,4,5]=>[2,1,4]=>1011000=>3 [2,1,7,3,4,5,6]=>[6,7,1,5,4,3,2]=>[2,2,1,1,1]=>1010111=>4 [2,1,7,3,4,6,5]=>[6,7,1,5,4,2,3]=>[2,2,1,2]=>1010110=>5 [2,1,7,3,5,4,6]=>[6,7,1,5,3,4,2]=>[2,2,2,1]=>1010101=>6 [2,1,7,3,5,6,4]=>[6,7,1,5,3,2,4]=>[2,2,1,2]=>1010110=>5 [2,1,7,3,6,4,5]=>[6,7,1,5,2,4,3]=>[2,2,2,1]=>1010101=>6 [2,1,7,3,6,5,4]=>[6,7,1,5,2,3,4]=>[2,2,3]=>1010100=>5 [2,1,7,4,3,5,6]=>[6,7,1,4,5,3,2]=>[2,3,1,1]=>1010011=>4 [2,1,7,4,3,6,5]=>[6,7,1,4,5,2,3]=>[2,3,2]=>1010010=>5 [2,1,7,4,5,3,6]=>[6,7,1,4,3,5,2]=>[2,2,2,1]=>1010101=>6 [2,1,7,4,5,6,3]=>[6,7,1,4,3,2,5]=>[2,2,1,2]=>1010110=>5 [2,1,7,4,6,3,5]=>[6,7,1,4,2,5,3]=>[2,2,2,1]=>1010101=>6 [2,1,7,4,6,5,3]=>[6,7,1,4,2,3,5]=>[2,2,3]=>1010100=>5 [2,1,7,5,3,4,6]=>[6,7,1,3,5,4,2]=>[2,3,1,1]=>1010011=>4 [2,1,7,5,3,6,4]=>[6,7,1,3,5,2,4]=>[2,3,2]=>1010010=>5 [2,1,7,5,4,3,6]=>[6,7,1,3,4,5,2]=>[2,4,1]=>1010001=>4 [2,1,7,5,4,6,3]=>[6,7,1,3,4,2,5]=>[2,3,2]=>1010010=>5 [2,1,7,5,6,3,4]=>[6,7,1,3,2,5,4]=>[2,2,2,1]=>1010101=>6 [2,1,7,5,6,4,3]=>[6,7,1,3,2,4,5]=>[2,2,3]=>1010100=>5 [2,1,7,6,3,4,5]=>[6,7,1,2,5,4,3]=>[2,3,1,1]=>1010011=>4 [2,1,7,6,3,5,4]=>[6,7,1,2,5,3,4]=>[2,3,2]=>1010010=>5 [2,1,7,6,4,3,5]=>[6,7,1,2,4,5,3]=>[2,4,1]=>1010001=>4 [2,1,7,6,4,5,3]=>[6,7,1,2,4,3,5]=>[2,3,2]=>1010010=>5 [2,1,7,6,5,3,4]=>[6,7,1,2,3,5,4]=>[2,4,1]=>1010001=>4 [2,1,7,6,5,4,3]=>[6,7,1,2,3,4,5]=>[2,5]=>1010000=>3 [2,3,1,4,5,6,7]=>[6,5,7,4,3,2,1]=>[1,2,1,1,1,1]=>1101111=>2 [2,3,1,4,5,7,6]=>[6,5,7,4,3,1,2]=>[1,2,1,1,2]=>1101110=>3 [2,3,1,4,6,5,7]=>[6,5,7,4,2,3,1]=>[1,2,1,2,1]=>1101101=>4 [2,3,1,4,6,7,5]=>[6,5,7,4,2,1,3]=>[1,2,1,1,2]=>1101110=>3 [2,3,1,4,7,5,6]=>[6,5,7,4,1,3,2]=>[1,2,1,2,1]=>1101101=>4 [2,3,1,4,7,6,5]=>[6,5,7,4,1,2,3]=>[1,2,1,3]=>1101100=>3 [2,3,1,5,4,6,7]=>[6,5,7,3,4,2,1]=>[1,2,2,1,1]=>1101011=>4 [2,3,1,5,4,7,6]=>[6,5,7,3,4,1,2]=>[1,2,2,2]=>1101010=>5 [2,3,1,5,6,4,7]=>[6,5,7,3,2,4,1]=>[1,2,1,2,1]=>1101101=>4 [2,3,1,5,6,7,4]=>[6,5,7,3,2,1,4]=>[1,2,1,1,2]=>1101110=>3 [2,3,1,5,7,4,6]=>[6,5,7,3,1,4,2]=>[1,2,1,2,1]=>1101101=>4 [2,3,1,5,7,6,4]=>[6,5,7,3,1,2,4]=>[1,2,1,3]=>1101100=>3 [2,3,1,6,4,5,7]=>[6,5,7,2,4,3,1]=>[1,2,2,1,1]=>1101011=>4 [2,3,1,6,4,7,5]=>[6,5,7,2,4,1,3]=>[1,2,2,2]=>1101010=>5 [2,3,1,6,5,4,7]=>[6,5,7,2,3,4,1]=>[1,2,3,1]=>1101001=>4 [2,3,1,6,5,7,4]=>[6,5,7,2,3,1,4]=>[1,2,2,2]=>1101010=>5 [2,3,1,6,7,4,5]=>[6,5,7,2,1,4,3]=>[1,2,1,2,1]=>1101101=>4 [2,3,1,6,7,5,4]=>[6,5,7,2,1,3,4]=>[1,2,1,3]=>1101100=>3 [2,3,1,7,4,5,6]=>[6,5,7,1,4,3,2]=>[1,2,2,1,1]=>1101011=>4 [2,3,1,7,4,6,5]=>[6,5,7,1,4,2,3]=>[1,2,2,2]=>1101010=>5 [2,3,1,7,5,4,6]=>[6,5,7,1,3,4,2]=>[1,2,3,1]=>1101001=>4 [2,3,1,7,5,6,4]=>[6,5,7,1,3,2,4]=>[1,2,2,2]=>1101010=>5 [2,3,1,7,6,4,5]=>[6,5,7,1,2,4,3]=>[1,2,3,1]=>1101001=>4 [2,3,1,7,6,5,4]=>[6,5,7,1,2,3,4]=>[1,2,4]=>1101000=>3 [2,3,4,1,5,6,7]=>[6,5,4,7,3,2,1]=>[1,1,2,1,1,1]=>1110111=>2 [2,3,4,1,5,7,6]=>[6,5,4,7,3,1,2]=>[1,1,2,1,2]=>1110110=>3 [2,3,4,1,6,5,7]=>[6,5,4,7,2,3,1]=>[1,1,2,2,1]=>1110101=>4 [2,3,4,1,6,7,5]=>[6,5,4,7,2,1,3]=>[1,1,2,1,2]=>1110110=>3 [2,3,4,1,7,5,6]=>[6,5,4,7,1,3,2]=>[1,1,2,2,1]=>1110101=>4 [2,3,4,1,7,6,5]=>[6,5,4,7,1,2,3]=>[1,1,2,3]=>1110100=>3 [2,3,4,5,1,6,7]=>[6,5,4,3,7,2,1]=>[1,1,1,2,1,1]=>1111011=>2 [2,3,4,5,1,7,6]=>[6,5,4,3,7,1,2]=>[1,1,1,2,2]=>1111010=>3 [2,3,4,5,6,1,7]=>[6,5,4,3,2,7,1]=>[1,1,1,1,2,1]=>1111101=>2 [2,3,4,5,6,7,1]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,2]=>1111110=>1 [2,3,4,5,7,1,6]=>[6,5,4,3,1,7,2]=>[1,1,1,1,2,1]=>1111101=>2 [2,3,4,5,7,6,1]=>[6,5,4,3,1,2,7]=>[1,1,1,1,3]=>1111100=>1 [2,3,4,6,1,5,7]=>[6,5,4,2,7,3,1]=>[1,1,1,2,1,1]=>1111011=>2 [2,3,4,6,1,7,5]=>[6,5,4,2,7,1,3]=>[1,1,1,2,2]=>1111010=>3 [2,3,4,6,5,1,7]=>[6,5,4,2,3,7,1]=>[1,1,1,3,1]=>1111001=>2 [2,3,4,6,5,7,1]=>[6,5,4,2,3,1,7]=>[1,1,1,2,2]=>1111010=>3 [2,3,4,6,7,1,5]=>[6,5,4,2,1,7,3]=>[1,1,1,1,2,1]=>1111101=>2 [2,3,4,6,7,5,1]=>[6,5,4,2,1,3,7]=>[1,1,1,1,3]=>1111100=>1 [2,3,4,7,1,5,6]=>[6,5,4,1,7,3,2]=>[1,1,1,2,1,1]=>1111011=>2 [2,3,4,7,1,6,5]=>[6,5,4,1,7,2,3]=>[1,1,1,2,2]=>1111010=>3 [2,3,4,7,5,1,6]=>[6,5,4,1,3,7,2]=>[1,1,1,3,1]=>1111001=>2 [2,3,4,7,5,6,1]=>[6,5,4,1,3,2,7]=>[1,1,1,2,2]=>1111010=>3 [2,3,4,7,6,1,5]=>[6,5,4,1,2,7,3]=>[1,1,1,3,1]=>1111001=>2 [2,3,4,7,6,5,1]=>[6,5,4,1,2,3,7]=>[1,1,1,4]=>1111000=>1 [2,3,5,1,4,6,7]=>[6,5,3,7,4,2,1]=>[1,1,2,1,1,1]=>1110111=>2 [2,3,5,1,4,7,6]=>[6,5,3,7,4,1,2]=>[1,1,2,1,2]=>1110110=>3 [2,3,5,1,6,4,7]=>[6,5,3,7,2,4,1]=>[1,1,2,2,1]=>1110101=>4 [2,3,5,1,6,7,4]=>[6,5,3,7,2,1,4]=>[1,1,2,1,2]=>1110110=>3 [2,3,5,1,7,4,6]=>[6,5,3,7,1,4,2]=>[1,1,2,2,1]=>1110101=>4 [2,3,5,1,7,6,4]=>[6,5,3,7,1,2,4]=>[1,1,2,3]=>1110100=>3 [2,3,5,4,1,6,7]=>[6,5,3,4,7,2,1]=>[1,1,3,1,1]=>1110011=>2 [2,3,5,4,1,7,6]=>[6,5,3,4,7,1,2]=>[1,1,3,2]=>1110010=>3 [2,3,5,4,6,1,7]=>[6,5,3,4,2,7,1]=>[1,1,2,2,1]=>1110101=>4 [2,3,5,4,6,7,1]=>[6,5,3,4,2,1,7]=>[1,1,2,1,2]=>1110110=>3 [2,3,5,4,7,1,6]=>[6,5,3,4,1,7,2]=>[1,1,2,2,1]=>1110101=>4 [2,3,5,4,7,6,1]=>[6,5,3,4,1,2,7]=>[1,1,2,3]=>1110100=>3 [2,3,5,6,1,4,7]=>[6,5,3,2,7,4,1]=>[1,1,1,2,1,1]=>1111011=>2 [2,3,5,6,1,7,4]=>[6,5,3,2,7,1,4]=>[1,1,1,2,2]=>1111010=>3 [2,3,5,6,4,1,7]=>[6,5,3,2,4,7,1]=>[1,1,1,3,1]=>1111001=>2 [2,3,5,6,4,7,1]=>[6,5,3,2,4,1,7]=>[1,1,1,2,2]=>1111010=>3 [2,3,5,6,7,1,4]=>[6,5,3,2,1,7,4]=>[1,1,1,1,2,1]=>1111101=>2 [2,3,5,6,7,4,1]=>[6,5,3,2,1,4,7]=>[1,1,1,1,3]=>1111100=>1 [2,3,5,7,1,4,6]=>[6,5,3,1,7,4,2]=>[1,1,1,2,1,1]=>1111011=>2 [2,3,5,7,1,6,4]=>[6,5,3,1,7,2,4]=>[1,1,1,2,2]=>1111010=>3 [2,3,5,7,4,1,6]=>[6,5,3,1,4,7,2]=>[1,1,1,3,1]=>1111001=>2 [2,3,5,7,4,6,1]=>[6,5,3,1,4,2,7]=>[1,1,1,2,2]=>1111010=>3 [2,3,5,7,6,1,4]=>[6,5,3,1,2,7,4]=>[1,1,1,3,1]=>1111001=>2 [2,3,5,7,6,4,1]=>[6,5,3,1,2,4,7]=>[1,1,1,4]=>1111000=>1 [2,3,6,1,4,5,7]=>[6,5,2,7,4,3,1]=>[1,1,2,1,1,1]=>1110111=>2 [2,3,6,1,4,7,5]=>[6,5,2,7,4,1,3]=>[1,1,2,1,2]=>1110110=>3 [2,3,6,1,5,4,7]=>[6,5,2,7,3,4,1]=>[1,1,2,2,1]=>1110101=>4 [2,3,6,1,5,7,4]=>[6,5,2,7,3,1,4]=>[1,1,2,1,2]=>1110110=>3 [2,3,6,1,7,4,5]=>[6,5,2,7,1,4,3]=>[1,1,2,2,1]=>1110101=>4 [2,3,6,1,7,5,4]=>[6,5,2,7,1,3,4]=>[1,1,2,3]=>1110100=>3 [2,3,6,4,1,5,7]=>[6,5,2,4,7,3,1]=>[1,1,3,1,1]=>1110011=>2 [2,3,6,4,1,7,5]=>[6,5,2,4,7,1,3]=>[1,1,3,2]=>1110010=>3 [2,3,6,4,5,1,7]=>[6,5,2,4,3,7,1]=>[1,1,2,2,1]=>1110101=>4 [2,3,6,4,5,7,1]=>[6,5,2,4,3,1,7]=>[1,1,2,1,2]=>1110110=>3 [2,3,6,4,7,1,5]=>[6,5,2,4,1,7,3]=>[1,1,2,2,1]=>1110101=>4 [2,3,6,4,7,5,1]=>[6,5,2,4,1,3,7]=>[1,1,2,3]=>1110100=>3 [2,3,6,5,1,4,7]=>[6,5,2,3,7,4,1]=>[1,1,3,1,1]=>1110011=>2 [2,3,6,5,1,7,4]=>[6,5,2,3,7,1,4]=>[1,1,3,2]=>1110010=>3 [2,3,6,5,4,1,7]=>[6,5,2,3,4,7,1]=>[1,1,4,1]=>1110001=>2 [2,3,6,5,4,7,1]=>[6,5,2,3,4,1,7]=>[1,1,3,2]=>1110010=>3 [2,3,6,5,7,1,4]=>[6,5,2,3,1,7,4]=>[1,1,2,2,1]=>1110101=>4 [2,3,6,5,7,4,1]=>[6,5,2,3,1,4,7]=>[1,1,2,3]=>1110100=>3 [2,3,6,7,1,4,5]=>[6,5,2,1,7,4,3]=>[1,1,1,2,1,1]=>1111011=>2 [2,3,6,7,1,5,4]=>[6,5,2,1,7,3,4]=>[1,1,1,2,2]=>1111010=>3 [2,3,6,7,4,1,5]=>[6,5,2,1,4,7,3]=>[1,1,1,3,1]=>1111001=>2 [2,3,6,7,4,5,1]=>[6,5,2,1,4,3,7]=>[1,1,1,2,2]=>1111010=>3 [2,3,6,7,5,1,4]=>[6,5,2,1,3,7,4]=>[1,1,1,3,1]=>1111001=>2 [2,3,6,7,5,4,1]=>[6,5,2,1,3,4,7]=>[1,1,1,4]=>1111000=>1 [2,3,7,1,4,5,6]=>[6,5,1,7,4,3,2]=>[1,1,2,1,1,1]=>1110111=>2 [2,3,7,1,4,6,5]=>[6,5,1,7,4,2,3]=>[1,1,2,1,2]=>1110110=>3 [2,3,7,1,5,4,6]=>[6,5,1,7,3,4,2]=>[1,1,2,2,1]=>1110101=>4 [2,3,7,1,5,6,4]=>[6,5,1,7,3,2,4]=>[1,1,2,1,2]=>1110110=>3 [2,3,7,1,6,4,5]=>[6,5,1,7,2,4,3]=>[1,1,2,2,1]=>1110101=>4 [2,3,7,1,6,5,4]=>[6,5,1,7,2,3,4]=>[1,1,2,3]=>1110100=>3 [2,3,7,4,1,5,6]=>[6,5,1,4,7,3,2]=>[1,1,3,1,1]=>1110011=>2 [2,3,7,4,1,6,5]=>[6,5,1,4,7,2,3]=>[1,1,3,2]=>1110010=>3 [2,3,7,4,5,1,6]=>[6,5,1,4,3,7,2]=>[1,1,2,2,1]=>1110101=>4 [2,3,7,4,5,6,1]=>[6,5,1,4,3,2,7]=>[1,1,2,1,2]=>1110110=>3 [2,3,7,4,6,1,5]=>[6,5,1,4,2,7,3]=>[1,1,2,2,1]=>1110101=>4 [2,3,7,4,6,5,1]=>[6,5,1,4,2,3,7]=>[1,1,2,3]=>1110100=>3 [2,3,7,5,1,4,6]=>[6,5,1,3,7,4,2]=>[1,1,3,1,1]=>1110011=>2 [2,3,7,5,1,6,4]=>[6,5,1,3,7,2,4]=>[1,1,3,2]=>1110010=>3 [2,3,7,5,4,1,6]=>[6,5,1,3,4,7,2]=>[1,1,4,1]=>1110001=>2 [2,3,7,5,4,6,1]=>[6,5,1,3,4,2,7]=>[1,1,3,2]=>1110010=>3 [2,3,7,5,6,1,4]=>[6,5,1,3,2,7,4]=>[1,1,2,2,1]=>1110101=>4 [2,3,7,5,6,4,1]=>[6,5,1,3,2,4,7]=>[1,1,2,3]=>1110100=>3 [2,3,7,6,1,4,5]=>[6,5,1,2,7,4,3]=>[1,1,3,1,1]=>1110011=>2 [2,3,7,6,1,5,4]=>[6,5,1,2,7,3,4]=>[1,1,3,2]=>1110010=>3 [2,3,7,6,4,1,5]=>[6,5,1,2,4,7,3]=>[1,1,4,1]=>1110001=>2 [2,3,7,6,4,5,1]=>[6,5,1,2,4,3,7]=>[1,1,3,2]=>1110010=>3 [2,3,7,6,5,1,4]=>[6,5,1,2,3,7,4]=>[1,1,4,1]=>1110001=>2 [2,3,7,6,5,4,1]=>[6,5,1,2,3,4,7]=>[1,1,5]=>1110000=>1 [2,4,1,3,5,6,7]=>[6,4,7,5,3,2,1]=>[1,2,1,1,1,1]=>1101111=>2 [2,4,1,3,5,7,6]=>[6,4,7,5,3,1,2]=>[1,2,1,1,2]=>1101110=>3 [2,4,1,3,6,5,7]=>[6,4,7,5,2,3,1]=>[1,2,1,2,1]=>1101101=>4 [2,4,1,3,6,7,5]=>[6,4,7,5,2,1,3]=>[1,2,1,1,2]=>1101110=>3 [2,4,1,3,7,5,6]=>[6,4,7,5,1,3,2]=>[1,2,1,2,1]=>1101101=>4 [2,4,1,3,7,6,5]=>[6,4,7,5,1,2,3]=>[1,2,1,3]=>1101100=>3 [2,4,1,5,3,6,7]=>[6,4,7,3,5,2,1]=>[1,2,2,1,1]=>1101011=>4 [2,4,1,5,3,7,6]=>[6,4,7,3,5,1,2]=>[1,2,2,2]=>1101010=>5 [2,4,1,5,6,3,7]=>[6,4,7,3,2,5,1]=>[1,2,1,2,1]=>1101101=>4 [2,4,1,5,6,7,3]=>[6,4,7,3,2,1,5]=>[1,2,1,1,2]=>1101110=>3 [2,4,1,5,7,3,6]=>[6,4,7,3,1,5,2]=>[1,2,1,2,1]=>1101101=>4 [2,4,1,5,7,6,3]=>[6,4,7,3,1,2,5]=>[1,2,1,3]=>1101100=>3 [2,4,1,6,3,5,7]=>[6,4,7,2,5,3,1]=>[1,2,2,1,1]=>1101011=>4 [2,4,1,6,3,7,5]=>[6,4,7,2,5,1,3]=>[1,2,2,2]=>1101010=>5 [2,4,1,6,5,3,7]=>[6,4,7,2,3,5,1]=>[1,2,3,1]=>1101001=>4 [2,4,1,6,5,7,3]=>[6,4,7,2,3,1,5]=>[1,2,2,2]=>1101010=>5 [2,4,1,6,7,3,5]=>[6,4,7,2,1,5,3]=>[1,2,1,2,1]=>1101101=>4 [2,4,1,6,7,5,3]=>[6,4,7,2,1,3,5]=>[1,2,1,3]=>1101100=>3 [2,4,1,7,3,5,6]=>[6,4,7,1,5,3,2]=>[1,2,2,1,1]=>1101011=>4 [2,4,1,7,3,6,5]=>[6,4,7,1,5,2,3]=>[1,2,2,2]=>1101010=>5 [2,4,1,7,5,3,6]=>[6,4,7,1,3,5,2]=>[1,2,3,1]=>1101001=>4 [2,4,1,7,5,6,3]=>[6,4,7,1,3,2,5]=>[1,2,2,2]=>1101010=>5 [2,4,1,7,6,3,5]=>[6,4,7,1,2,5,3]=>[1,2,3,1]=>1101001=>4 [2,4,1,7,6,5,3]=>[6,4,7,1,2,3,5]=>[1,2,4]=>1101000=>3 [2,4,3,1,5,6,7]=>[6,4,5,7,3,2,1]=>[1,3,1,1,1]=>1100111=>2 [2,4,3,1,5,7,6]=>[6,4,5,7,3,1,2]=>[1,3,1,2]=>1100110=>3 [2,4,3,1,6,5,7]=>[6,4,5,7,2,3,1]=>[1,3,2,1]=>1100101=>4 [2,4,3,1,6,7,5]=>[6,4,5,7,2,1,3]=>[1,3,1,2]=>1100110=>3 [2,4,3,1,7,5,6]=>[6,4,5,7,1,3,2]=>[1,3,2,1]=>1100101=>4 [2,4,3,1,7,6,5]=>[6,4,5,7,1,2,3]=>[1,3,3]=>1100100=>3 [2,4,3,5,1,6,7]=>[6,4,5,3,7,2,1]=>[1,2,2,1,1]=>1101011=>4 [2,4,3,5,1,7,6]=>[6,4,5,3,7,1,2]=>[1,2,2,2]=>1101010=>5 [2,4,3,5,6,1,7]=>[6,4,5,3,2,7,1]=>[1,2,1,2,1]=>1101101=>4 [2,4,3,5,6,7,1]=>[6,4,5,3,2,1,7]=>[1,2,1,1,2]=>1101110=>3 [2,4,3,5,7,1,6]=>[6,4,5,3,1,7,2]=>[1,2,1,2,1]=>1101101=>4 [2,4,3,5,7,6,1]=>[6,4,5,3,1,2,7]=>[1,2,1,3]=>1101100=>3 [2,4,3,6,1,5,7]=>[6,4,5,2,7,3,1]=>[1,2,2,1,1]=>1101011=>4 [2,4,3,6,1,7,5]=>[6,4,5,2,7,1,3]=>[1,2,2,2]=>1101010=>5 [2,4,3,6,5,1,7]=>[6,4,5,2,3,7,1]=>[1,2,3,1]=>1101001=>4 [2,4,3,6,5,7,1]=>[6,4,5,2,3,1,7]=>[1,2,2,2]=>1101010=>5 [2,4,3,6,7,1,5]=>[6,4,5,2,1,7,3]=>[1,2,1,2,1]=>1101101=>4 [2,4,3,6,7,5,1]=>[6,4,5,2,1,3,7]=>[1,2,1,3]=>1101100=>3 [2,4,3,7,1,5,6]=>[6,4,5,1,7,3,2]=>[1,2,2,1,1]=>1101011=>4 [2,4,3,7,1,6,5]=>[6,4,5,1,7,2,3]=>[1,2,2,2]=>1101010=>5 [2,4,3,7,5,1,6]=>[6,4,5,1,3,7,2]=>[1,2,3,1]=>1101001=>4 [2,4,3,7,5,6,1]=>[6,4,5,1,3,2,7]=>[1,2,2,2]=>1101010=>5 [2,4,3,7,6,1,5]=>[6,4,5,1,2,7,3]=>[1,2,3,1]=>1101001=>4 [2,4,3,7,6,5,1]=>[6,4,5,1,2,3,7]=>[1,2,4]=>1101000=>3 [2,4,5,1,3,6,7]=>[6,4,3,7,5,2,1]=>[1,1,2,1,1,1]=>1110111=>2 [2,4,5,1,3,7,6]=>[6,4,3,7,5,1,2]=>[1,1,2,1,2]=>1110110=>3 [2,4,5,1,6,3,7]=>[6,4,3,7,2,5,1]=>[1,1,2,2,1]=>1110101=>4 [2,4,5,1,6,7,3]=>[6,4,3,7,2,1,5]=>[1,1,2,1,2]=>1110110=>3 [2,4,5,1,7,3,6]=>[6,4,3,7,1,5,2]=>[1,1,2,2,1]=>1110101=>4 [2,4,5,1,7,6,3]=>[6,4,3,7,1,2,5]=>[1,1,2,3]=>1110100=>3 [2,4,5,3,1,6,7]=>[6,4,3,5,7,2,1]=>[1,1,3,1,1]=>1110011=>2 [2,4,5,3,1,7,6]=>[6,4,3,5,7,1,2]=>[1,1,3,2]=>1110010=>3 [2,4,5,3,6,1,7]=>[6,4,3,5,2,7,1]=>[1,1,2,2,1]=>1110101=>4 [2,4,5,3,6,7,1]=>[6,4,3,5,2,1,7]=>[1,1,2,1,2]=>1110110=>3 [2,4,5,3,7,1,6]=>[6,4,3,5,1,7,2]=>[1,1,2,2,1]=>1110101=>4 [2,4,5,3,7,6,1]=>[6,4,3,5,1,2,7]=>[1,1,2,3]=>1110100=>3 [2,4,5,6,1,3,7]=>[6,4,3,2,7,5,1]=>[1,1,1,2,1,1]=>1111011=>2 [2,4,5,6,1,7,3]=>[6,4,3,2,7,1,5]=>[1,1,1,2,2]=>1111010=>3 [2,4,5,6,3,1,7]=>[6,4,3,2,5,7,1]=>[1,1,1,3,1]=>1111001=>2 [2,4,5,6,3,7,1]=>[6,4,3,2,5,1,7]=>[1,1,1,2,2]=>1111010=>3 [2,4,5,6,7,1,3]=>[6,4,3,2,1,7,5]=>[1,1,1,1,2,1]=>1111101=>2 [2,4,5,6,7,3,1]=>[6,4,3,2,1,5,7]=>[1,1,1,1,3]=>1111100=>1 [2,4,5,7,1,3,6]=>[6,4,3,1,7,5,2]=>[1,1,1,2,1,1]=>1111011=>2 [2,4,5,7,1,6,3]=>[6,4,3,1,7,2,5]=>[1,1,1,2,2]=>1111010=>3 [2,4,5,7,3,1,6]=>[6,4,3,1,5,7,2]=>[1,1,1,3,1]=>1111001=>2 [2,4,5,7,3,6,1]=>[6,4,3,1,5,2,7]=>[1,1,1,2,2]=>1111010=>3 [2,4,5,7,6,1,3]=>[6,4,3,1,2,7,5]=>[1,1,1,3,1]=>1111001=>2 [2,4,5,7,6,3,1]=>[6,4,3,1,2,5,7]=>[1,1,1,4]=>1111000=>1 [2,4,6,1,3,5,7]=>[6,4,2,7,5,3,1]=>[1,1,2,1,1,1]=>1110111=>2 [2,4,6,1,3,7,5]=>[6,4,2,7,5,1,3]=>[1,1,2,1,2]=>1110110=>3 [2,4,6,1,5,3,7]=>[6,4,2,7,3,5,1]=>[1,1,2,2,1]=>1110101=>4 [2,4,6,1,5,7,3]=>[6,4,2,7,3,1,5]=>[1,1,2,1,2]=>1110110=>3 [2,4,6,1,7,3,5]=>[6,4,2,7,1,5,3]=>[1,1,2,2,1]=>1110101=>4 [2,4,6,1,7,5,3]=>[6,4,2,7,1,3,5]=>[1,1,2,3]=>1110100=>3 [2,4,6,3,1,5,7]=>[6,4,2,5,7,3,1]=>[1,1,3,1,1]=>1110011=>2 [2,4,6,3,1,7,5]=>[6,4,2,5,7,1,3]=>[1,1,3,2]=>1110010=>3 [2,4,6,3,5,1,7]=>[6,4,2,5,3,7,1]=>[1,1,2,2,1]=>1110101=>4 [2,4,6,3,5,7,1]=>[6,4,2,5,3,1,7]=>[1,1,2,1,2]=>1110110=>3 [2,4,6,3,7,1,5]=>[6,4,2,5,1,7,3]=>[1,1,2,2,1]=>1110101=>4 [2,4,6,3,7,5,1]=>[6,4,2,5,1,3,7]=>[1,1,2,3]=>1110100=>3 [2,4,6,5,1,3,7]=>[6,4,2,3,7,5,1]=>[1,1,3,1,1]=>1110011=>2 [2,4,6,5,1,7,3]=>[6,4,2,3,7,1,5]=>[1,1,3,2]=>1110010=>3 [2,4,6,5,3,1,7]=>[6,4,2,3,5,7,1]=>[1,1,4,1]=>1110001=>2 [2,4,6,5,3,7,1]=>[6,4,2,3,5,1,7]=>[1,1,3,2]=>1110010=>3 [2,4,6,5,7,1,3]=>[6,4,2,3,1,7,5]=>[1,1,2,2,1]=>1110101=>4 [2,4,6,5,7,3,1]=>[6,4,2,3,1,5,7]=>[1,1,2,3]=>1110100=>3 [2,4,6,7,1,3,5]=>[6,4,2,1,7,5,3]=>[1,1,1,2,1,1]=>1111011=>2 [2,4,6,7,1,5,3]=>[6,4,2,1,7,3,5]=>[1,1,1,2,2]=>1111010=>3 [2,4,6,7,3,1,5]=>[6,4,2,1,5,7,3]=>[1,1,1,3,1]=>1111001=>2 [2,4,6,7,3,5,1]=>[6,4,2,1,5,3,7]=>[1,1,1,2,2]=>1111010=>3 [2,4,6,7,5,1,3]=>[6,4,2,1,3,7,5]=>[1,1,1,3,1]=>1111001=>2 [2,4,6,7,5,3,1]=>[6,4,2,1,3,5,7]=>[1,1,1,4]=>1111000=>1 [2,4,7,1,3,5,6]=>[6,4,1,7,5,3,2]=>[1,1,2,1,1,1]=>1110111=>2 [2,4,7,1,3,6,5]=>[6,4,1,7,5,2,3]=>[1,1,2,1,2]=>1110110=>3 [2,4,7,1,5,3,6]=>[6,4,1,7,3,5,2]=>[1,1,2,2,1]=>1110101=>4 [2,4,7,1,5,6,3]=>[6,4,1,7,3,2,5]=>[1,1,2,1,2]=>1110110=>3 [2,4,7,1,6,3,5]=>[6,4,1,7,2,5,3]=>[1,1,2,2,1]=>1110101=>4 [2,4,7,1,6,5,3]=>[6,4,1,7,2,3,5]=>[1,1,2,3]=>1110100=>3 [2,4,7,3,1,5,6]=>[6,4,1,5,7,3,2]=>[1,1,3,1,1]=>1110011=>2 [2,4,7,3,1,6,5]=>[6,4,1,5,7,2,3]=>[1,1,3,2]=>1110010=>3 [2,4,7,3,5,1,6]=>[6,4,1,5,3,7,2]=>[1,1,2,2,1]=>1110101=>4 [2,4,7,3,5,6,1]=>[6,4,1,5,3,2,7]=>[1,1,2,1,2]=>1110110=>3 [2,4,7,3,6,1,5]=>[6,4,1,5,2,7,3]=>[1,1,2,2,1]=>1110101=>4 [2,4,7,3,6,5,1]=>[6,4,1,5,2,3,7]=>[1,1,2,3]=>1110100=>3 [2,4,7,5,1,3,6]=>[6,4,1,3,7,5,2]=>[1,1,3,1,1]=>1110011=>2 [2,4,7,5,1,6,3]=>[6,4,1,3,7,2,5]=>[1,1,3,2]=>1110010=>3 [2,4,7,5,3,1,6]=>[6,4,1,3,5,7,2]=>[1,1,4,1]=>1110001=>2 [2,4,7,5,3,6,1]=>[6,4,1,3,5,2,7]=>[1,1,3,2]=>1110010=>3 [2,4,7,5,6,1,3]=>[6,4,1,3,2,7,5]=>[1,1,2,2,1]=>1110101=>4 [2,4,7,5,6,3,1]=>[6,4,1,3,2,5,7]=>[1,1,2,3]=>1110100=>3 [2,4,7,6,1,3,5]=>[6,4,1,2,7,5,3]=>[1,1,3,1,1]=>1110011=>2 [2,4,7,6,1,5,3]=>[6,4,1,2,7,3,5]=>[1,1,3,2]=>1110010=>3 [2,4,7,6,3,1,5]=>[6,4,1,2,5,7,3]=>[1,1,4,1]=>1110001=>2 [2,4,7,6,3,5,1]=>[6,4,1,2,5,3,7]=>[1,1,3,2]=>1110010=>3 [2,4,7,6,5,1,3]=>[6,4,1,2,3,7,5]=>[1,1,4,1]=>1110001=>2 [2,4,7,6,5,3,1]=>[6,4,1,2,3,5,7]=>[1,1,5]=>1110000=>1 [2,5,1,3,4,6,7]=>[6,3,7,5,4,2,1]=>[1,2,1,1,1,1]=>1101111=>2 [2,5,1,3,4,7,6]=>[6,3,7,5,4,1,2]=>[1,2,1,1,2]=>1101110=>3 [2,5,1,3,6,4,7]=>[6,3,7,5,2,4,1]=>[1,2,1,2,1]=>1101101=>4 [2,5,1,3,6,7,4]=>[6,3,7,5,2,1,4]=>[1,2,1,1,2]=>1101110=>3 [2,5,1,3,7,4,6]=>[6,3,7,5,1,4,2]=>[1,2,1,2,1]=>1101101=>4 [2,5,1,3,7,6,4]=>[6,3,7,5,1,2,4]=>[1,2,1,3]=>1101100=>3 [2,5,1,4,3,6,7]=>[6,3,7,4,5,2,1]=>[1,2,2,1,1]=>1101011=>4 [2,5,1,4,3,7,6]=>[6,3,7,4,5,1,2]=>[1,2,2,2]=>1101010=>5 [2,5,1,4,6,3,7]=>[6,3,7,4,2,5,1]=>[1,2,1,2,1]=>1101101=>4 [2,5,1,4,6,7,3]=>[6,3,7,4,2,1,5]=>[1,2,1,1,2]=>1101110=>3 [2,5,1,4,7,3,6]=>[6,3,7,4,1,5,2]=>[1,2,1,2,1]=>1101101=>4 [2,5,1,4,7,6,3]=>[6,3,7,4,1,2,5]=>[1,2,1,3]=>1101100=>3 [2,5,1,6,3,4,7]=>[6,3,7,2,5,4,1]=>[1,2,2,1,1]=>1101011=>4 [2,5,1,6,3,7,4]=>[6,3,7,2,5,1,4]=>[1,2,2,2]=>1101010=>5 [2,5,1,6,4,3,7]=>[6,3,7,2,4,5,1]=>[1,2,3,1]=>1101001=>4 [2,5,1,6,4,7,3]=>[6,3,7,2,4,1,5]=>[1,2,2,2]=>1101010=>5 [2,5,1,6,7,3,4]=>[6,3,7,2,1,5,4]=>[1,2,1,2,1]=>1101101=>4 [2,5,1,6,7,4,3]=>[6,3,7,2,1,4,5]=>[1,2,1,3]=>1101100=>3 [2,5,1,7,3,4,6]=>[6,3,7,1,5,4,2]=>[1,2,2,1,1]=>1101011=>4 [2,5,1,7,3,6,4]=>[6,3,7,1,5,2,4]=>[1,2,2,2]=>1101010=>5 [2,5,1,7,4,3,6]=>[6,3,7,1,4,5,2]=>[1,2,3,1]=>1101001=>4 [2,5,1,7,4,6,3]=>[6,3,7,1,4,2,5]=>[1,2,2,2]=>1101010=>5 [2,5,1,7,6,3,4]=>[6,3,7,1,2,5,4]=>[1,2,3,1]=>1101001=>4 [2,5,1,7,6,4,3]=>[6,3,7,1,2,4,5]=>[1,2,4]=>1101000=>3 [2,5,3,1,4,6,7]=>[6,3,5,7,4,2,1]=>[1,3,1,1,1]=>1100111=>2 [2,5,3,1,4,7,6]=>[6,3,5,7,4,1,2]=>[1,3,1,2]=>1100110=>3 [2,5,3,1,6,4,7]=>[6,3,5,7,2,4,1]=>[1,3,2,1]=>1100101=>4 [2,5,3,1,6,7,4]=>[6,3,5,7,2,1,4]=>[1,3,1,2]=>1100110=>3 [2,5,3,1,7,4,6]=>[6,3,5,7,1,4,2]=>[1,3,2,1]=>1100101=>4 [2,5,3,1,7,6,4]=>[6,3,5,7,1,2,4]=>[1,3,3]=>1100100=>3 [2,5,3,4,1,6,7]=>[6,3,5,4,7,2,1]=>[1,2,2,1,1]=>1101011=>4 [2,5,3,4,1,7,6]=>[6,3,5,4,7,1,2]=>[1,2,2,2]=>1101010=>5 [2,5,3,4,6,1,7]=>[6,3,5,4,2,7,1]=>[1,2,1,2,1]=>1101101=>4 [2,5,3,4,6,7,1]=>[6,3,5,4,2,1,7]=>[1,2,1,1,2]=>1101110=>3 [2,5,3,4,7,1,6]=>[6,3,5,4,1,7,2]=>[1,2,1,2,1]=>1101101=>4 [2,5,3,4,7,6,1]=>[6,3,5,4,1,2,7]=>[1,2,1,3]=>1101100=>3 [2,5,3,6,1,4,7]=>[6,3,5,2,7,4,1]=>[1,2,2,1,1]=>1101011=>4 [2,5,3,6,1,7,4]=>[6,3,5,2,7,1,4]=>[1,2,2,2]=>1101010=>5 [2,5,3,6,4,1,7]=>[6,3,5,2,4,7,1]=>[1,2,3,1]=>1101001=>4 [2,5,3,6,4,7,1]=>[6,3,5,2,4,1,7]=>[1,2,2,2]=>1101010=>5 [2,5,3,6,7,1,4]=>[6,3,5,2,1,7,4]=>[1,2,1,2,1]=>1101101=>4 [2,5,3,6,7,4,1]=>[6,3,5,2,1,4,7]=>[1,2,1,3]=>1101100=>3 [2,5,3,7,1,4,6]=>[6,3,5,1,7,4,2]=>[1,2,2,1,1]=>1101011=>4 [2,5,3,7,1,6,4]=>[6,3,5,1,7,2,4]=>[1,2,2,2]=>1101010=>5 [2,5,3,7,4,1,6]=>[6,3,5,1,4,7,2]=>[1,2,3,1]=>1101001=>4 [2,5,3,7,4,6,1]=>[6,3,5,1,4,2,7]=>[1,2,2,2]=>1101010=>5 [2,5,3,7,6,1,4]=>[6,3,5,1,2,7,4]=>[1,2,3,1]=>1101001=>4 [2,5,3,7,6,4,1]=>[6,3,5,1,2,4,7]=>[1,2,4]=>1101000=>3 [2,5,4,1,3,6,7]=>[6,3,4,7,5,2,1]=>[1,3,1,1,1]=>1100111=>2 [2,5,4,1,3,7,6]=>[6,3,4,7,5,1,2]=>[1,3,1,2]=>1100110=>3 [2,5,4,1,6,3,7]=>[6,3,4,7,2,5,1]=>[1,3,2,1]=>1100101=>4 [2,5,4,1,6,7,3]=>[6,3,4,7,2,1,5]=>[1,3,1,2]=>1100110=>3 [2,5,4,1,7,3,6]=>[6,3,4,7,1,5,2]=>[1,3,2,1]=>1100101=>4 [2,5,4,1,7,6,3]=>[6,3,4,7,1,2,5]=>[1,3,3]=>1100100=>3 [2,5,4,3,1,6,7]=>[6,3,4,5,7,2,1]=>[1,4,1,1]=>1100011=>2 [2,5,4,3,1,7,6]=>[6,3,4,5,7,1,2]=>[1,4,2]=>1100010=>3 [2,5,4,3,6,1,7]=>[6,3,4,5,2,7,1]=>[1,3,2,1]=>1100101=>4 [2,5,4,3,6,7,1]=>[6,3,4,5,2,1,7]=>[1,3,1,2]=>1100110=>3 [2,5,4,3,7,1,6]=>[6,3,4,5,1,7,2]=>[1,3,2,1]=>1100101=>4 [2,5,4,3,7,6,1]=>[6,3,4,5,1,2,7]=>[1,3,3]=>1100100=>3 [2,5,4,6,1,3,7]=>[6,3,4,2,7,5,1]=>[1,2,2,1,1]=>1101011=>4 [2,5,4,6,1,7,3]=>[6,3,4,2,7,1,5]=>[1,2,2,2]=>1101010=>5 [2,5,4,6,3,1,7]=>[6,3,4,2,5,7,1]=>[1,2,3,1]=>1101001=>4 [2,5,4,6,3,7,1]=>[6,3,4,2,5,1,7]=>[1,2,2,2]=>1101010=>5 [2,5,4,6,7,1,3]=>[6,3,4,2,1,7,5]=>[1,2,1,2,1]=>1101101=>4 [2,5,4,6,7,3,1]=>[6,3,4,2,1,5,7]=>[1,2,1,3]=>1101100=>3 [2,5,4,7,1,3,6]=>[6,3,4,1,7,5,2]=>[1,2,2,1,1]=>1101011=>4 [2,5,4,7,1,6,3]=>[6,3,4,1,7,2,5]=>[1,2,2,2]=>1101010=>5 [2,5,4,7,3,1,6]=>[6,3,4,1,5,7,2]=>[1,2,3,1]=>1101001=>4 [2,5,4,7,3,6,1]=>[6,3,4,1,5,2,7]=>[1,2,2,2]=>1101010=>5 [2,5,4,7,6,1,3]=>[6,3,4,1,2,7,5]=>[1,2,3,1]=>1101001=>4 [2,5,4,7,6,3,1]=>[6,3,4,1,2,5,7]=>[1,2,4]=>1101000=>3 [2,5,6,1,3,4,7]=>[6,3,2,7,5,4,1]=>[1,1,2,1,1,1]=>1110111=>2 [2,5,6,1,3,7,4]=>[6,3,2,7,5,1,4]=>[1,1,2,1,2]=>1110110=>3 [2,5,6,1,4,3,7]=>[6,3,2,7,4,5,1]=>[1,1,2,2,1]=>1110101=>4 [2,5,6,1,4,7,3]=>[6,3,2,7,4,1,5]=>[1,1,2,1,2]=>1110110=>3 [2,5,6,1,7,3,4]=>[6,3,2,7,1,5,4]=>[1,1,2,2,1]=>1110101=>4 [2,5,6,1,7,4,3]=>[6,3,2,7,1,4,5]=>[1,1,2,3]=>1110100=>3 [2,5,6,3,1,4,7]=>[6,3,2,5,7,4,1]=>[1,1,3,1,1]=>1110011=>2 [2,5,6,3,1,7,4]=>[6,3,2,5,7,1,4]=>[1,1,3,2]=>1110010=>3 [2,5,6,3,4,1,7]=>[6,3,2,5,4,7,1]=>[1,1,2,2,1]=>1110101=>4 [2,5,6,3,4,7,1]=>[6,3,2,5,4,1,7]=>[1,1,2,1,2]=>1110110=>3 [2,5,6,3,7,1,4]=>[6,3,2,5,1,7,4]=>[1,1,2,2,1]=>1110101=>4 [2,5,6,3,7,4,1]=>[6,3,2,5,1,4,7]=>[1,1,2,3]=>1110100=>3 [2,5,6,4,1,3,7]=>[6,3,2,4,7,5,1]=>[1,1,3,1,1]=>1110011=>2 [2,5,6,4,1,7,3]=>[6,3,2,4,7,1,5]=>[1,1,3,2]=>1110010=>3 [2,5,6,4,3,1,7]=>[6,3,2,4,5,7,1]=>[1,1,4,1]=>1110001=>2 [2,5,6,4,3,7,1]=>[6,3,2,4,5,1,7]=>[1,1,3,2]=>1110010=>3 [2,5,6,4,7,1,3]=>[6,3,2,4,1,7,5]=>[1,1,2,2,1]=>1110101=>4 [2,5,6,4,7,3,1]=>[6,3,2,4,1,5,7]=>[1,1,2,3]=>1110100=>3 [2,5,6,7,1,3,4]=>[6,3,2,1,7,5,4]=>[1,1,1,2,1,1]=>1111011=>2 [2,5,6,7,1,4,3]=>[6,3,2,1,7,4,5]=>[1,1,1,2,2]=>1111010=>3 [2,5,6,7,3,1,4]=>[6,3,2,1,5,7,4]=>[1,1,1,3,1]=>1111001=>2 [2,5,6,7,3,4,1]=>[6,3,2,1,5,4,7]=>[1,1,1,2,2]=>1111010=>3 [2,5,6,7,4,1,3]=>[6,3,2,1,4,7,5]=>[1,1,1,3,1]=>1111001=>2 [2,5,6,7,4,3,1]=>[6,3,2,1,4,5,7]=>[1,1,1,4]=>1111000=>1 [2,5,7,1,3,4,6]=>[6,3,1,7,5,4,2]=>[1,1,2,1,1,1]=>1110111=>2 [2,5,7,1,3,6,4]=>[6,3,1,7,5,2,4]=>[1,1,2,1,2]=>1110110=>3 [2,5,7,1,4,3,6]=>[6,3,1,7,4,5,2]=>[1,1,2,2,1]=>1110101=>4 [2,5,7,1,4,6,3]=>[6,3,1,7,4,2,5]=>[1,1,2,1,2]=>1110110=>3 [2,5,7,1,6,3,4]=>[6,3,1,7,2,5,4]=>[1,1,2,2,1]=>1110101=>4 [2,5,7,1,6,4,3]=>[6,3,1,7,2,4,5]=>[1,1,2,3]=>1110100=>3 [2,5,7,3,1,4,6]=>[6,3,1,5,7,4,2]=>[1,1,3,1,1]=>1110011=>2 [2,5,7,3,1,6,4]=>[6,3,1,5,7,2,4]=>[1,1,3,2]=>1110010=>3 [2,5,7,3,4,1,6]=>[6,3,1,5,4,7,2]=>[1,1,2,2,1]=>1110101=>4 [2,5,7,3,4,6,1]=>[6,3,1,5,4,2,7]=>[1,1,2,1,2]=>1110110=>3 [2,5,7,3,6,1,4]=>[6,3,1,5,2,7,4]=>[1,1,2,2,1]=>1110101=>4 [2,5,7,3,6,4,1]=>[6,3,1,5,2,4,7]=>[1,1,2,3]=>1110100=>3 [2,5,7,4,1,3,6]=>[6,3,1,4,7,5,2]=>[1,1,3,1,1]=>1110011=>2 [2,5,7,4,1,6,3]=>[6,3,1,4,7,2,5]=>[1,1,3,2]=>1110010=>3 [2,5,7,4,3,1,6]=>[6,3,1,4,5,7,2]=>[1,1,4,1]=>1110001=>2 [2,5,7,4,3,6,1]=>[6,3,1,4,5,2,7]=>[1,1,3,2]=>1110010=>3 [2,5,7,4,6,1,3]=>[6,3,1,4,2,7,5]=>[1,1,2,2,1]=>1110101=>4 [2,5,7,4,6,3,1]=>[6,3,1,4,2,5,7]=>[1,1,2,3]=>1110100=>3 [2,5,7,6,1,3,4]=>[6,3,1,2,7,5,4]=>[1,1,3,1,1]=>1110011=>2 [2,5,7,6,1,4,3]=>[6,3,1,2,7,4,5]=>[1,1,3,2]=>1110010=>3 [2,5,7,6,3,1,4]=>[6,3,1,2,5,7,4]=>[1,1,4,1]=>1110001=>2 [2,5,7,6,3,4,1]=>[6,3,1,2,5,4,7]=>[1,1,3,2]=>1110010=>3 [2,5,7,6,4,1,3]=>[6,3,1,2,4,7,5]=>[1,1,4,1]=>1110001=>2 [2,5,7,6,4,3,1]=>[6,3,1,2,4,5,7]=>[1,1,5]=>1110000=>1 [2,6,1,3,4,5,7]=>[6,2,7,5,4,3,1]=>[1,2,1,1,1,1]=>1101111=>2 [2,6,1,3,4,7,5]=>[6,2,7,5,4,1,3]=>[1,2,1,1,2]=>1101110=>3 [2,6,1,3,5,4,7]=>[6,2,7,5,3,4,1]=>[1,2,1,2,1]=>1101101=>4 [2,6,1,3,5,7,4]=>[6,2,7,5,3,1,4]=>[1,2,1,1,2]=>1101110=>3 [2,6,1,3,7,4,5]=>[6,2,7,5,1,4,3]=>[1,2,1,2,1]=>1101101=>4 [2,6,1,3,7,5,4]=>[6,2,7,5,1,3,4]=>[1,2,1,3]=>1101100=>3 [2,6,1,4,3,5,7]=>[6,2,7,4,5,3,1]=>[1,2,2,1,1]=>1101011=>4 [2,6,1,4,3,7,5]=>[6,2,7,4,5,1,3]=>[1,2,2,2]=>1101010=>5 [2,6,1,4,5,3,7]=>[6,2,7,4,3,5,1]=>[1,2,1,2,1]=>1101101=>4 [2,6,1,4,5,7,3]=>[6,2,7,4,3,1,5]=>[1,2,1,1,2]=>1101110=>3 [2,6,1,4,7,3,5]=>[6,2,7,4,1,5,3]=>[1,2,1,2,1]=>1101101=>4 [2,6,1,4,7,5,3]=>[6,2,7,4,1,3,5]=>[1,2,1,3]=>1101100=>3 [2,6,1,5,3,4,7]=>[6,2,7,3,5,4,1]=>[1,2,2,1,1]=>1101011=>4 [2,6,1,5,3,7,4]=>[6,2,7,3,5,1,4]=>[1,2,2,2]=>1101010=>5 [2,6,1,5,4,3,7]=>[6,2,7,3,4,5,1]=>[1,2,3,1]=>1101001=>4 [2,6,1,5,4,7,3]=>[6,2,7,3,4,1,5]=>[1,2,2,2]=>1101010=>5 [2,6,1,5,7,3,4]=>[6,2,7,3,1,5,4]=>[1,2,1,2,1]=>1101101=>4 [2,6,1,5,7,4,3]=>[6,2,7,3,1,4,5]=>[1,2,1,3]=>1101100=>3 [2,6,1,7,3,4,5]=>[6,2,7,1,5,4,3]=>[1,2,2,1,1]=>1101011=>4 [2,6,1,7,3,5,4]=>[6,2,7,1,5,3,4]=>[1,2,2,2]=>1101010=>5 [2,6,1,7,4,3,5]=>[6,2,7,1,4,5,3]=>[1,2,3,1]=>1101001=>4 [2,6,1,7,4,5,3]=>[6,2,7,1,4,3,5]=>[1,2,2,2]=>1101010=>5 [2,6,1,7,5,3,4]=>[6,2,7,1,3,5,4]=>[1,2,3,1]=>1101001=>4 [2,6,1,7,5,4,3]=>[6,2,7,1,3,4,5]=>[1,2,4]=>1101000=>3 [2,6,3,1,4,5,7]=>[6,2,5,7,4,3,1]=>[1,3,1,1,1]=>1100111=>2 [2,6,3,1,4,7,5]=>[6,2,5,7,4,1,3]=>[1,3,1,2]=>1100110=>3 [2,6,3,1,5,4,7]=>[6,2,5,7,3,4,1]=>[1,3,2,1]=>1100101=>4 [2,6,3,1,5,7,4]=>[6,2,5,7,3,1,4]=>[1,3,1,2]=>1100110=>3 [2,6,3,1,7,4,5]=>[6,2,5,7,1,4,3]=>[1,3,2,1]=>1100101=>4 [2,6,3,1,7,5,4]=>[6,2,5,7,1,3,4]=>[1,3,3]=>1100100=>3 [2,6,3,4,1,5,7]=>[6,2,5,4,7,3,1]=>[1,2,2,1,1]=>1101011=>4 [2,6,3,4,1,7,5]=>[6,2,5,4,7,1,3]=>[1,2,2,2]=>1101010=>5 [2,6,3,4,5,1,7]=>[6,2,5,4,3,7,1]=>[1,2,1,2,1]=>1101101=>4 [2,6,3,4,5,7,1]=>[6,2,5,4,3,1,7]=>[1,2,1,1,2]=>1101110=>3 [2,6,3,4,7,1,5]=>[6,2,5,4,1,7,3]=>[1,2,1,2,1]=>1101101=>4 [2,6,3,4,7,5,1]=>[6,2,5,4,1,3,7]=>[1,2,1,3]=>1101100=>3 [2,6,3,5,1,4,7]=>[6,2,5,3,7,4,1]=>[1,2,2,1,1]=>1101011=>4 [2,6,3,5,1,7,4]=>[6,2,5,3,7,1,4]=>[1,2,2,2]=>1101010=>5 [2,6,3,5,4,1,7]=>[6,2,5,3,4,7,1]=>[1,2,3,1]=>1101001=>4 [2,6,3,5,4,7,1]=>[6,2,5,3,4,1,7]=>[1,2,2,2]=>1101010=>5 [2,6,3,5,7,1,4]=>[6,2,5,3,1,7,4]=>[1,2,1,2,1]=>1101101=>4 [2,6,3,5,7,4,1]=>[6,2,5,3,1,4,7]=>[1,2,1,3]=>1101100=>3 [2,6,3,7,1,4,5]=>[6,2,5,1,7,4,3]=>[1,2,2,1,1]=>1101011=>4 [2,6,3,7,1,5,4]=>[6,2,5,1,7,3,4]=>[1,2,2,2]=>1101010=>5 [2,6,3,7,4,1,5]=>[6,2,5,1,4,7,3]=>[1,2,3,1]=>1101001=>4 [2,6,3,7,4,5,1]=>[6,2,5,1,4,3,7]=>[1,2,2,2]=>1101010=>5 [2,6,3,7,5,1,4]=>[6,2,5,1,3,7,4]=>[1,2,3,1]=>1101001=>4 [2,6,3,7,5,4,1]=>[6,2,5,1,3,4,7]=>[1,2,4]=>1101000=>3 [2,6,4,1,3,5,7]=>[6,2,4,7,5,3,1]=>[1,3,1,1,1]=>1100111=>2 [2,6,4,1,3,7,5]=>[6,2,4,7,5,1,3]=>[1,3,1,2]=>1100110=>3 [2,6,4,1,5,3,7]=>[6,2,4,7,3,5,1]=>[1,3,2,1]=>1100101=>4 [2,6,4,1,5,7,3]=>[6,2,4,7,3,1,5]=>[1,3,1,2]=>1100110=>3 [2,6,4,1,7,3,5]=>[6,2,4,7,1,5,3]=>[1,3,2,1]=>1100101=>4 [2,6,4,1,7,5,3]=>[6,2,4,7,1,3,5]=>[1,3,3]=>1100100=>3 [2,6,4,3,1,5,7]=>[6,2,4,5,7,3,1]=>[1,4,1,1]=>1100011=>2 [2,6,4,3,1,7,5]=>[6,2,4,5,7,1,3]=>[1,4,2]=>1100010=>3 [2,6,4,3,5,1,7]=>[6,2,4,5,3,7,1]=>[1,3,2,1]=>1100101=>4 [2,6,4,3,5,7,1]=>[6,2,4,5,3,1,7]=>[1,3,1,2]=>1100110=>3 [2,6,4,3,7,1,5]=>[6,2,4,5,1,7,3]=>[1,3,2,1]=>1100101=>4 [2,6,4,3,7,5,1]=>[6,2,4,5,1,3,7]=>[1,3,3]=>1100100=>3 [2,6,4,5,1,3,7]=>[6,2,4,3,7,5,1]=>[1,2,2,1,1]=>1101011=>4 [2,6,4,5,1,7,3]=>[6,2,4,3,7,1,5]=>[1,2,2,2]=>1101010=>5 [2,6,4,5,3,1,7]=>[6,2,4,3,5,7,1]=>[1,2,3,1]=>1101001=>4 [2,6,4,5,3,7,1]=>[6,2,4,3,5,1,7]=>[1,2,2,2]=>1101010=>5 [2,6,4,5,7,1,3]=>[6,2,4,3,1,7,5]=>[1,2,1,2,1]=>1101101=>4 [2,6,4,5,7,3,1]=>[6,2,4,3,1,5,7]=>[1,2,1,3]=>1101100=>3 [2,6,4,7,1,3,5]=>[6,2,4,1,7,5,3]=>[1,2,2,1,1]=>1101011=>4 [2,6,4,7,1,5,3]=>[6,2,4,1,7,3,5]=>[1,2,2,2]=>1101010=>5 [2,6,4,7,3,1,5]=>[6,2,4,1,5,7,3]=>[1,2,3,1]=>1101001=>4 [2,6,4,7,3,5,1]=>[6,2,4,1,5,3,7]=>[1,2,2,2]=>1101010=>5 [2,6,4,7,5,1,3]=>[6,2,4,1,3,7,5]=>[1,2,3,1]=>1101001=>4 [2,6,4,7,5,3,1]=>[6,2,4,1,3,5,7]=>[1,2,4]=>1101000=>3 [2,6,5,1,3,4,7]=>[6,2,3,7,5,4,1]=>[1,3,1,1,1]=>1100111=>2 [2,6,5,1,3,7,4]=>[6,2,3,7,5,1,4]=>[1,3,1,2]=>1100110=>3 [2,6,5,1,4,3,7]=>[6,2,3,7,4,5,1]=>[1,3,2,1]=>1100101=>4 [2,6,5,1,4,7,3]=>[6,2,3,7,4,1,5]=>[1,3,1,2]=>1100110=>3 [2,6,5,1,7,3,4]=>[6,2,3,7,1,5,4]=>[1,3,2,1]=>1100101=>4 [2,6,5,1,7,4,3]=>[6,2,3,7,1,4,5]=>[1,3,3]=>1100100=>3 [2,6,5,3,1,4,7]=>[6,2,3,5,7,4,1]=>[1,4,1,1]=>1100011=>2 [2,6,5,3,1,7,4]=>[6,2,3,5,7,1,4]=>[1,4,2]=>1100010=>3 [2,6,5,3,4,1,7]=>[6,2,3,5,4,7,1]=>[1,3,2,1]=>1100101=>4 [2,6,5,3,4,7,1]=>[6,2,3,5,4,1,7]=>[1,3,1,2]=>1100110=>3 [2,6,5,3,7,1,4]=>[6,2,3,5,1,7,4]=>[1,3,2,1]=>1100101=>4 [2,6,5,3,7,4,1]=>[6,2,3,5,1,4,7]=>[1,3,3]=>1100100=>3 [2,6,5,4,1,3,7]=>[6,2,3,4,7,5,1]=>[1,4,1,1]=>1100011=>2 [2,6,5,4,1,7,3]=>[6,2,3,4,7,1,5]=>[1,4,2]=>1100010=>3 [2,6,5,4,3,1,7]=>[6,2,3,4,5,7,1]=>[1,5,1]=>1100001=>2 [2,6,5,4,3,7,1]=>[6,2,3,4,5,1,7]=>[1,4,2]=>1100010=>3 [2,6,5,4,7,1,3]=>[6,2,3,4,1,7,5]=>[1,3,2,1]=>1100101=>4 [2,6,5,4,7,3,1]=>[6,2,3,4,1,5,7]=>[1,3,3]=>1100100=>3 [2,6,5,7,1,3,4]=>[6,2,3,1,7,5,4]=>[1,2,2,1,1]=>1101011=>4 [2,6,5,7,1,4,3]=>[6,2,3,1,7,4,5]=>[1,2,2,2]=>1101010=>5 [2,6,5,7,3,1,4]=>[6,2,3,1,5,7,4]=>[1,2,3,1]=>1101001=>4 [2,6,5,7,3,4,1]=>[6,2,3,1,5,4,7]=>[1,2,2,2]=>1101010=>5 [2,6,5,7,4,1,3]=>[6,2,3,1,4,7,5]=>[1,2,3,1]=>1101001=>4 [2,6,5,7,4,3,1]=>[6,2,3,1,4,5,7]=>[1,2,4]=>1101000=>3 [2,6,7,1,3,4,5]=>[6,2,1,7,5,4,3]=>[1,1,2,1,1,1]=>1110111=>2 [2,6,7,1,3,5,4]=>[6,2,1,7,5,3,4]=>[1,1,2,1,2]=>1110110=>3 [2,6,7,1,4,3,5]=>[6,2,1,7,4,5,3]=>[1,1,2,2,1]=>1110101=>4 [2,6,7,1,4,5,3]=>[6,2,1,7,4,3,5]=>[1,1,2,1,2]=>1110110=>3 [2,6,7,1,5,3,4]=>[6,2,1,7,3,5,4]=>[1,1,2,2,1]=>1110101=>4 [2,6,7,1,5,4,3]=>[6,2,1,7,3,4,5]=>[1,1,2,3]=>1110100=>3 [2,6,7,3,1,4,5]=>[6,2,1,5,7,4,3]=>[1,1,3,1,1]=>1110011=>2 [2,6,7,3,1,5,4]=>[6,2,1,5,7,3,4]=>[1,1,3,2]=>1110010=>3 [2,6,7,3,4,1,5]=>[6,2,1,5,4,7,3]=>[1,1,2,2,1]=>1110101=>4 [2,6,7,3,4,5,1]=>[6,2,1,5,4,3,7]=>[1,1,2,1,2]=>1110110=>3 [2,6,7,3,5,1,4]=>[6,2,1,5,3,7,4]=>[1,1,2,2,1]=>1110101=>4 [2,6,7,3,5,4,1]=>[6,2,1,5,3,4,7]=>[1,1,2,3]=>1110100=>3 [2,6,7,4,1,3,5]=>[6,2,1,4,7,5,3]=>[1,1,3,1,1]=>1110011=>2 [2,6,7,4,1,5,3]=>[6,2,1,4,7,3,5]=>[1,1,3,2]=>1110010=>3 [2,6,7,4,3,1,5]=>[6,2,1,4,5,7,3]=>[1,1,4,1]=>1110001=>2 [2,6,7,4,3,5,1]=>[6,2,1,4,5,3,7]=>[1,1,3,2]=>1110010=>3 [2,6,7,4,5,1,3]=>[6,2,1,4,3,7,5]=>[1,1,2,2,1]=>1110101=>4 [2,6,7,4,5,3,1]=>[6,2,1,4,3,5,7]=>[1,1,2,3]=>1110100=>3 [2,6,7,5,1,3,4]=>[6,2,1,3,7,5,4]=>[1,1,3,1,1]=>1110011=>2 [2,6,7,5,1,4,3]=>[6,2,1,3,7,4,5]=>[1,1,3,2]=>1110010=>3 [2,6,7,5,3,1,4]=>[6,2,1,3,5,7,4]=>[1,1,4,1]=>1110001=>2 [2,6,7,5,3,4,1]=>[6,2,1,3,5,4,7]=>[1,1,3,2]=>1110010=>3 [2,6,7,5,4,1,3]=>[6,2,1,3,4,7,5]=>[1,1,4,1]=>1110001=>2 [2,6,7,5,4,3,1]=>[6,2,1,3,4,5,7]=>[1,1,5]=>1110000=>1 [2,7,1,3,4,5,6]=>[6,1,7,5,4,3,2]=>[1,2,1,1,1,1]=>1101111=>2 [2,7,1,3,4,6,5]=>[6,1,7,5,4,2,3]=>[1,2,1,1,2]=>1101110=>3 [2,7,1,3,5,4,6]=>[6,1,7,5,3,4,2]=>[1,2,1,2,1]=>1101101=>4 [2,7,1,3,5,6,4]=>[6,1,7,5,3,2,4]=>[1,2,1,1,2]=>1101110=>3 [2,7,1,3,6,4,5]=>[6,1,7,5,2,4,3]=>[1,2,1,2,1]=>1101101=>4 [2,7,1,3,6,5,4]=>[6,1,7,5,2,3,4]=>[1,2,1,3]=>1101100=>3 [2,7,1,4,3,5,6]=>[6,1,7,4,5,3,2]=>[1,2,2,1,1]=>1101011=>4 [2,7,1,4,3,6,5]=>[6,1,7,4,5,2,3]=>[1,2,2,2]=>1101010=>5 [2,7,1,4,5,3,6]=>[6,1,7,4,3,5,2]=>[1,2,1,2,1]=>1101101=>4 [2,7,1,4,5,6,3]=>[6,1,7,4,3,2,5]=>[1,2,1,1,2]=>1101110=>3 [2,7,1,4,6,3,5]=>[6,1,7,4,2,5,3]=>[1,2,1,2,1]=>1101101=>4 [2,7,1,4,6,5,3]=>[6,1,7,4,2,3,5]=>[1,2,1,3]=>1101100=>3 [2,7,1,5,3,4,6]=>[6,1,7,3,5,4,2]=>[1,2,2,1,1]=>1101011=>4 [2,7,1,5,3,6,4]=>[6,1,7,3,5,2,4]=>[1,2,2,2]=>1101010=>5 [2,7,1,5,4,3,6]=>[6,1,7,3,4,5,2]=>[1,2,3,1]=>1101001=>4 [2,7,1,5,4,6,3]=>[6,1,7,3,4,2,5]=>[1,2,2,2]=>1101010=>5 [2,7,1,5,6,3,4]=>[6,1,7,3,2,5,4]=>[1,2,1,2,1]=>1101101=>4 [2,7,1,5,6,4,3]=>[6,1,7,3,2,4,5]=>[1,2,1,3]=>1101100=>3 [2,7,1,6,3,4,5]=>[6,1,7,2,5,4,3]=>[1,2,2,1,1]=>1101011=>4 [2,7,1,6,3,5,4]=>[6,1,7,2,5,3,4]=>[1,2,2,2]=>1101010=>5 [2,7,1,6,4,3,5]=>[6,1,7,2,4,5,3]=>[1,2,3,1]=>1101001=>4 [2,7,1,6,4,5,3]=>[6,1,7,2,4,3,5]=>[1,2,2,2]=>1101010=>5 [2,7,1,6,5,3,4]=>[6,1,7,2,3,5,4]=>[1,2,3,1]=>1101001=>4 [2,7,1,6,5,4,3]=>[6,1,7,2,3,4,5]=>[1,2,4]=>1101000=>3 [2,7,3,1,4,5,6]=>[6,1,5,7,4,3,2]=>[1,3,1,1,1]=>1100111=>2 [2,7,3,1,4,6,5]=>[6,1,5,7,4,2,3]=>[1,3,1,2]=>1100110=>3 [2,7,3,1,5,4,6]=>[6,1,5,7,3,4,2]=>[1,3,2,1]=>1100101=>4 [2,7,3,1,5,6,4]=>[6,1,5,7,3,2,4]=>[1,3,1,2]=>1100110=>3 [2,7,3,1,6,4,5]=>[6,1,5,7,2,4,3]=>[1,3,2,1]=>1100101=>4 [2,7,3,1,6,5,4]=>[6,1,5,7,2,3,4]=>[1,3,3]=>1100100=>3 [2,7,3,4,1,5,6]=>[6,1,5,4,7,3,2]=>[1,2,2,1,1]=>1101011=>4 [2,7,3,4,1,6,5]=>[6,1,5,4,7,2,3]=>[1,2,2,2]=>1101010=>5 [2,7,3,4,5,1,6]=>[6,1,5,4,3,7,2]=>[1,2,1,2,1]=>1101101=>4 [2,7,3,4,5,6,1]=>[6,1,5,4,3,2,7]=>[1,2,1,1,2]=>1101110=>3 [2,7,3,4,6,1,5]=>[6,1,5,4,2,7,3]=>[1,2,1,2,1]=>1101101=>4 [2,7,3,4,6,5,1]=>[6,1,5,4,2,3,7]=>[1,2,1,3]=>1101100=>3 [2,7,3,5,1,4,6]=>[6,1,5,3,7,4,2]=>[1,2,2,1,1]=>1101011=>4 [2,7,3,5,1,6,4]=>[6,1,5,3,7,2,4]=>[1,2,2,2]=>1101010=>5 [2,7,3,5,4,1,6]=>[6,1,5,3,4,7,2]=>[1,2,3,1]=>1101001=>4 [2,7,3,5,4,6,1]=>[6,1,5,3,4,2,7]=>[1,2,2,2]=>1101010=>5 [2,7,3,5,6,1,4]=>[6,1,5,3,2,7,4]=>[1,2,1,2,1]=>1101101=>4 [2,7,3,5,6,4,1]=>[6,1,5,3,2,4,7]=>[1,2,1,3]=>1101100=>3 [2,7,3,6,1,4,5]=>[6,1,5,2,7,4,3]=>[1,2,2,1,1]=>1101011=>4 [2,7,3,6,1,5,4]=>[6,1,5,2,7,3,4]=>[1,2,2,2]=>1101010=>5 [2,7,3,6,4,1,5]=>[6,1,5,2,4,7,3]=>[1,2,3,1]=>1101001=>4 [2,7,3,6,4,5,1]=>[6,1,5,2,4,3,7]=>[1,2,2,2]=>1101010=>5 [2,7,3,6,5,1,4]=>[6,1,5,2,3,7,4]=>[1,2,3,1]=>1101001=>4 [2,7,3,6,5,4,1]=>[6,1,5,2,3,4,7]=>[1,2,4]=>1101000=>3 [2,7,4,1,3,5,6]=>[6,1,4,7,5,3,2]=>[1,3,1,1,1]=>1100111=>2 [2,7,4,1,3,6,5]=>[6,1,4,7,5,2,3]=>[1,3,1,2]=>1100110=>3 [2,7,4,1,5,3,6]=>[6,1,4,7,3,5,2]=>[1,3,2,1]=>1100101=>4 [2,7,4,1,5,6,3]=>[6,1,4,7,3,2,5]=>[1,3,1,2]=>1100110=>3 [2,7,4,1,6,3,5]=>[6,1,4,7,2,5,3]=>[1,3,2,1]=>1100101=>4 [2,7,4,1,6,5,3]=>[6,1,4,7,2,3,5]=>[1,3,3]=>1100100=>3 [2,7,4,3,1,5,6]=>[6,1,4,5,7,3,2]=>[1,4,1,1]=>1100011=>2 [2,7,4,3,1,6,5]=>[6,1,4,5,7,2,3]=>[1,4,2]=>1100010=>3 [2,7,4,3,5,1,6]=>[6,1,4,5,3,7,2]=>[1,3,2,1]=>1100101=>4 [2,7,4,3,5,6,1]=>[6,1,4,5,3,2,7]=>[1,3,1,2]=>1100110=>3 [2,7,4,3,6,1,5]=>[6,1,4,5,2,7,3]=>[1,3,2,1]=>1100101=>4 [2,7,4,3,6,5,1]=>[6,1,4,5,2,3,7]=>[1,3,3]=>1100100=>3 [2,7,4,5,1,3,6]=>[6,1,4,3,7,5,2]=>[1,2,2,1,1]=>1101011=>4 [2,7,4,5,1,6,3]=>[6,1,4,3,7,2,5]=>[1,2,2,2]=>1101010=>5 [2,7,4,5,3,1,6]=>[6,1,4,3,5,7,2]=>[1,2,3,1]=>1101001=>4 [2,7,4,5,3,6,1]=>[6,1,4,3,5,2,7]=>[1,2,2,2]=>1101010=>5 [2,7,4,5,6,1,3]=>[6,1,4,3,2,7,5]=>[1,2,1,2,1]=>1101101=>4 [2,7,4,5,6,3,1]=>[6,1,4,3,2,5,7]=>[1,2,1,3]=>1101100=>3 [2,7,4,6,1,3,5]=>[6,1,4,2,7,5,3]=>[1,2,2,1,1]=>1101011=>4 [2,7,4,6,1,5,3]=>[6,1,4,2,7,3,5]=>[1,2,2,2]=>1101010=>5 [2,7,4,6,3,1,5]=>[6,1,4,2,5,7,3]=>[1,2,3,1]=>1101001=>4 [2,7,4,6,3,5,1]=>[6,1,4,2,5,3,7]=>[1,2,2,2]=>1101010=>5 [2,7,4,6,5,1,3]=>[6,1,4,2,3,7,5]=>[1,2,3,1]=>1101001=>4 [2,7,4,6,5,3,1]=>[6,1,4,2,3,5,7]=>[1,2,4]=>1101000=>3 [2,7,5,1,3,4,6]=>[6,1,3,7,5,4,2]=>[1,3,1,1,1]=>1100111=>2 [2,7,5,1,3,6,4]=>[6,1,3,7,5,2,4]=>[1,3,1,2]=>1100110=>3 [2,7,5,1,4,3,6]=>[6,1,3,7,4,5,2]=>[1,3,2,1]=>1100101=>4 [2,7,5,1,4,6,3]=>[6,1,3,7,4,2,5]=>[1,3,1,2]=>1100110=>3 [2,7,5,1,6,3,4]=>[6,1,3,7,2,5,4]=>[1,3,2,1]=>1100101=>4 [2,7,5,1,6,4,3]=>[6,1,3,7,2,4,5]=>[1,3,3]=>1100100=>3 [2,7,5,3,1,4,6]=>[6,1,3,5,7,4,2]=>[1,4,1,1]=>1100011=>2 [2,7,5,3,1,6,4]=>[6,1,3,5,7,2,4]=>[1,4,2]=>1100010=>3 [2,7,5,3,4,1,6]=>[6,1,3,5,4,7,2]=>[1,3,2,1]=>1100101=>4 [2,7,5,3,4,6,1]=>[6,1,3,5,4,2,7]=>[1,3,1,2]=>1100110=>3 [2,7,5,3,6,1,4]=>[6,1,3,5,2,7,4]=>[1,3,2,1]=>1100101=>4 [2,7,5,3,6,4,1]=>[6,1,3,5,2,4,7]=>[1,3,3]=>1100100=>3 [2,7,5,4,1,3,6]=>[6,1,3,4,7,5,2]=>[1,4,1,1]=>1100011=>2 [2,7,5,4,1,6,3]=>[6,1,3,4,7,2,5]=>[1,4,2]=>1100010=>3 [2,7,5,4,3,1,6]=>[6,1,3,4,5,7,2]=>[1,5,1]=>1100001=>2 [2,7,5,4,3,6,1]=>[6,1,3,4,5,2,7]=>[1,4,2]=>1100010=>3 [2,7,5,4,6,1,3]=>[6,1,3,4,2,7,5]=>[1,3,2,1]=>1100101=>4 [2,7,5,4,6,3,1]=>[6,1,3,4,2,5,7]=>[1,3,3]=>1100100=>3 [2,7,5,6,1,3,4]=>[6,1,3,2,7,5,4]=>[1,2,2,1,1]=>1101011=>4 [2,7,5,6,1,4,3]=>[6,1,3,2,7,4,5]=>[1,2,2,2]=>1101010=>5 [2,7,5,6,3,1,4]=>[6,1,3,2,5,7,4]=>[1,2,3,1]=>1101001=>4 [2,7,5,6,3,4,1]=>[6,1,3,2,5,4,7]=>[1,2,2,2]=>1101010=>5 [2,7,5,6,4,1,3]=>[6,1,3,2,4,7,5]=>[1,2,3,1]=>1101001=>4 [2,7,5,6,4,3,1]=>[6,1,3,2,4,5,7]=>[1,2,4]=>1101000=>3 [2,7,6,1,3,4,5]=>[6,1,2,7,5,4,3]=>[1,3,1,1,1]=>1100111=>2 [2,7,6,1,3,5,4]=>[6,1,2,7,5,3,4]=>[1,3,1,2]=>1100110=>3 [2,7,6,1,4,3,5]=>[6,1,2,7,4,5,3]=>[1,3,2,1]=>1100101=>4 [2,7,6,1,4,5,3]=>[6,1,2,7,4,3,5]=>[1,3,1,2]=>1100110=>3 [2,7,6,1,5,3,4]=>[6,1,2,7,3,5,4]=>[1,3,2,1]=>1100101=>4 [2,7,6,1,5,4,3]=>[6,1,2,7,3,4,5]=>[1,3,3]=>1100100=>3 [2,7,6,3,1,4,5]=>[6,1,2,5,7,4,3]=>[1,4,1,1]=>1100011=>2 [2,7,6,3,1,5,4]=>[6,1,2,5,7,3,4]=>[1,4,2]=>1100010=>3 [2,7,6,3,4,1,5]=>[6,1,2,5,4,7,3]=>[1,3,2,1]=>1100101=>4 [2,7,6,3,4,5,1]=>[6,1,2,5,4,3,7]=>[1,3,1,2]=>1100110=>3 [2,7,6,3,5,1,4]=>[6,1,2,5,3,7,4]=>[1,3,2,1]=>1100101=>4 [2,7,6,3,5,4,1]=>[6,1,2,5,3,4,7]=>[1,3,3]=>1100100=>3 [2,7,6,4,1,3,5]=>[6,1,2,4,7,5,3]=>[1,4,1,1]=>1100011=>2 [2,7,6,4,1,5,3]=>[6,1,2,4,7,3,5]=>[1,4,2]=>1100010=>3 [2,7,6,4,3,1,5]=>[6,1,2,4,5,7,3]=>[1,5,1]=>1100001=>2 [2,7,6,4,3,5,1]=>[6,1,2,4,5,3,7]=>[1,4,2]=>1100010=>3 [2,7,6,4,5,1,3]=>[6,1,2,4,3,7,5]=>[1,3,2,1]=>1100101=>4 [2,7,6,4,5,3,1]=>[6,1,2,4,3,5,7]=>[1,3,3]=>1100100=>3 [2,7,6,5,1,3,4]=>[6,1,2,3,7,5,4]=>[1,4,1,1]=>1100011=>2 [2,7,6,5,1,4,3]=>[6,1,2,3,7,4,5]=>[1,4,2]=>1100010=>3 [2,7,6,5,3,1,4]=>[6,1,2,3,5,7,4]=>[1,5,1]=>1100001=>2 [2,7,6,5,3,4,1]=>[6,1,2,3,5,4,7]=>[1,4,2]=>1100010=>3 [2,7,6,5,4,1,3]=>[6,1,2,3,4,7,5]=>[1,5,1]=>1100001=>2 [2,7,6,5,4,3,1]=>[6,1,2,3,4,5,7]=>[1,6]=>1100000=>1 [3,1,2,4,5,6,7]=>[5,7,6,4,3,2,1]=>[2,1,1,1,1,1]=>1011111=>2 [3,1,2,4,5,7,6]=>[5,7,6,4,3,1,2]=>[2,1,1,1,2]=>1011110=>3 [3,1,2,4,6,5,7]=>[5,7,6,4,2,3,1]=>[2,1,1,2,1]=>1011101=>4 [3,1,2,4,6,7,5]=>[5,7,6,4,2,1,3]=>[2,1,1,1,2]=>1011110=>3 [3,1,2,4,7,5,6]=>[5,7,6,4,1,3,2]=>[2,1,1,2,1]=>1011101=>4 [3,1,2,4,7,6,5]=>[5,7,6,4,1,2,3]=>[2,1,1,3]=>1011100=>3 [3,1,2,5,4,6,7]=>[5,7,6,3,4,2,1]=>[2,1,2,1,1]=>1011011=>4 [3,1,2,5,4,7,6]=>[5,7,6,3,4,1,2]=>[2,1,2,2]=>1011010=>5 [3,1,2,5,6,4,7]=>[5,7,6,3,2,4,1]=>[2,1,1,2,1]=>1011101=>4 [3,1,2,5,6,7,4]=>[5,7,6,3,2,1,4]=>[2,1,1,1,2]=>1011110=>3 [3,1,2,5,7,4,6]=>[5,7,6,3,1,4,2]=>[2,1,1,2,1]=>1011101=>4 [3,1,2,5,7,6,4]=>[5,7,6,3,1,2,4]=>[2,1,1,3]=>1011100=>3 [3,1,2,6,4,5,7]=>[5,7,6,2,4,3,1]=>[2,1,2,1,1]=>1011011=>4 [3,1,2,6,4,7,5]=>[5,7,6,2,4,1,3]=>[2,1,2,2]=>1011010=>5 [3,1,2,6,5,4,7]=>[5,7,6,2,3,4,1]=>[2,1,3,1]=>1011001=>4 [3,1,2,6,5,7,4]=>[5,7,6,2,3,1,4]=>[2,1,2,2]=>1011010=>5 [3,1,2,6,7,4,5]=>[5,7,6,2,1,4,3]=>[2,1,1,2,1]=>1011101=>4 [3,1,2,6,7,5,4]=>[5,7,6,2,1,3,4]=>[2,1,1,3]=>1011100=>3 [3,1,2,7,4,5,6]=>[5,7,6,1,4,3,2]=>[2,1,2,1,1]=>1011011=>4 [3,1,2,7,4,6,5]=>[5,7,6,1,4,2,3]=>[2,1,2,2]=>1011010=>5 [3,1,2,7,5,4,6]=>[5,7,6,1,3,4,2]=>[2,1,3,1]=>1011001=>4 [3,1,2,7,5,6,4]=>[5,7,6,1,3,2,4]=>[2,1,2,2]=>1011010=>5 [3,1,2,7,6,4,5]=>[5,7,6,1,2,4,3]=>[2,1,3,1]=>1011001=>4 [3,1,2,7,6,5,4]=>[5,7,6,1,2,3,4]=>[2,1,4]=>1011000=>3 [3,1,4,2,5,6,7]=>[5,7,4,6,3,2,1]=>[2,2,1,1,1]=>1010111=>4 [3,1,4,2,5,7,6]=>[5,7,4,6,3,1,2]=>[2,2,1,2]=>1010110=>5 [3,1,4,2,6,5,7]=>[5,7,4,6,2,3,1]=>[2,2,2,1]=>1010101=>6 [3,1,4,2,6,7,5]=>[5,7,4,6,2,1,3]=>[2,2,1,2]=>1010110=>5 [3,1,4,2,7,5,6]=>[5,7,4,6,1,3,2]=>[2,2,2,1]=>1010101=>6 [3,1,4,2,7,6,5]=>[5,7,4,6,1,2,3]=>[2,2,3]=>1010100=>5 [3,1,4,5,2,6,7]=>[5,7,4,3,6,2,1]=>[2,1,2,1,1]=>1011011=>4 [3,1,4,5,2,7,6]=>[5,7,4,3,6,1,2]=>[2,1,2,2]=>1011010=>5 [3,1,4,5,6,2,7]=>[5,7,4,3,2,6,1]=>[2,1,1,2,1]=>1011101=>4 [3,1,4,5,6,7,2]=>[5,7,4,3,2,1,6]=>[2,1,1,1,2]=>1011110=>3 [3,1,4,5,7,2,6]=>[5,7,4,3,1,6,2]=>[2,1,1,2,1]=>1011101=>4 [3,1,4,5,7,6,2]=>[5,7,4,3,1,2,6]=>[2,1,1,3]=>1011100=>3 [3,1,4,6,2,5,7]=>[5,7,4,2,6,3,1]=>[2,1,2,1,1]=>1011011=>4 [3,1,4,6,2,7,5]=>[5,7,4,2,6,1,3]=>[2,1,2,2]=>1011010=>5 [3,1,4,6,5,2,7]=>[5,7,4,2,3,6,1]=>[2,1,3,1]=>1011001=>4 [3,1,4,6,5,7,2]=>[5,7,4,2,3,1,6]=>[2,1,2,2]=>1011010=>5 [3,1,4,6,7,2,5]=>[5,7,4,2,1,6,3]=>[2,1,1,2,1]=>1011101=>4 [3,1,4,6,7,5,2]=>[5,7,4,2,1,3,6]=>[2,1,1,3]=>1011100=>3 [3,1,4,7,2,5,6]=>[5,7,4,1,6,3,2]=>[2,1,2,1,1]=>1011011=>4 [3,1,4,7,2,6,5]=>[5,7,4,1,6,2,3]=>[2,1,2,2]=>1011010=>5 [3,1,4,7,5,2,6]=>[5,7,4,1,3,6,2]=>[2,1,3,1]=>1011001=>4 [3,1,4,7,5,6,2]=>[5,7,4,1,3,2,6]=>[2,1,2,2]=>1011010=>5 [3,1,4,7,6,2,5]=>[5,7,4,1,2,6,3]=>[2,1,3,1]=>1011001=>4 [3,1,4,7,6,5,2]=>[5,7,4,1,2,3,6]=>[2,1,4]=>1011000=>3 [3,1,5,2,4,6,7]=>[5,7,3,6,4,2,1]=>[2,2,1,1,1]=>1010111=>4 [3,1,5,2,4,7,6]=>[5,7,3,6,4,1,2]=>[2,2,1,2]=>1010110=>5 [3,1,5,2,6,4,7]=>[5,7,3,6,2,4,1]=>[2,2,2,1]=>1010101=>6 [3,1,5,2,6,7,4]=>[5,7,3,6,2,1,4]=>[2,2,1,2]=>1010110=>5 [3,1,5,2,7,4,6]=>[5,7,3,6,1,4,2]=>[2,2,2,1]=>1010101=>6 [3,1,5,2,7,6,4]=>[5,7,3,6,1,2,4]=>[2,2,3]=>1010100=>5 [3,1,5,4,2,6,7]=>[5,7,3,4,6,2,1]=>[2,3,1,1]=>1010011=>4 [3,1,5,4,2,7,6]=>[5,7,3,4,6,1,2]=>[2,3,2]=>1010010=>5 [3,1,5,4,6,2,7]=>[5,7,3,4,2,6,1]=>[2,2,2,1]=>1010101=>6 [3,1,5,4,6,7,2]=>[5,7,3,4,2,1,6]=>[2,2,1,2]=>1010110=>5 [3,1,5,4,7,2,6]=>[5,7,3,4,1,6,2]=>[2,2,2,1]=>1010101=>6 [3,1,5,4,7,6,2]=>[5,7,3,4,1,2,6]=>[2,2,3]=>1010100=>5 [3,1,5,6,2,4,7]=>[5,7,3,2,6,4,1]=>[2,1,2,1,1]=>1011011=>4 [3,1,5,6,2,7,4]=>[5,7,3,2,6,1,4]=>[2,1,2,2]=>1011010=>5 [3,1,5,6,4,2,7]=>[5,7,3,2,4,6,1]=>[2,1,3,1]=>1011001=>4 [3,1,5,6,4,7,2]=>[5,7,3,2,4,1,6]=>[2,1,2,2]=>1011010=>5 [3,1,5,6,7,2,4]=>[5,7,3,2,1,6,4]=>[2,1,1,2,1]=>1011101=>4 [3,1,5,6,7,4,2]=>[5,7,3,2,1,4,6]=>[2,1,1,3]=>1011100=>3 [3,1,5,7,2,4,6]=>[5,7,3,1,6,4,2]=>[2,1,2,1,1]=>1011011=>4 [3,1,5,7,2,6,4]=>[5,7,3,1,6,2,4]=>[2,1,2,2]=>1011010=>5 [3,1,5,7,4,2,6]=>[5,7,3,1,4,6,2]=>[2,1,3,1]=>1011001=>4 [3,1,5,7,4,6,2]=>[5,7,3,1,4,2,6]=>[2,1,2,2]=>1011010=>5 [3,1,5,7,6,2,4]=>[5,7,3,1,2,6,4]=>[2,1,3,1]=>1011001=>4 [3,1,5,7,6,4,2]=>[5,7,3,1,2,4,6]=>[2,1,4]=>1011000=>3 [3,1,6,2,4,5,7]=>[5,7,2,6,4,3,1]=>[2,2,1,1,1]=>1010111=>4 [3,1,6,2,4,7,5]=>[5,7,2,6,4,1,3]=>[2,2,1,2]=>1010110=>5 [3,1,6,2,5,4,7]=>[5,7,2,6,3,4,1]=>[2,2,2,1]=>1010101=>6 [3,1,6,2,5,7,4]=>[5,7,2,6,3,1,4]=>[2,2,1,2]=>1010110=>5 [3,1,6,2,7,4,5]=>[5,7,2,6,1,4,3]=>[2,2,2,1]=>1010101=>6 [3,1,6,2,7,5,4]=>[5,7,2,6,1,3,4]=>[2,2,3]=>1010100=>5 [3,1,6,4,2,5,7]=>[5,7,2,4,6,3,1]=>[2,3,1,1]=>1010011=>4 [3,1,6,4,2,7,5]=>[5,7,2,4,6,1,3]=>[2,3,2]=>1010010=>5 [3,1,6,4,5,2,7]=>[5,7,2,4,3,6,1]=>[2,2,2,1]=>1010101=>6 [3,1,6,4,5,7,2]=>[5,7,2,4,3,1,6]=>[2,2,1,2]=>1010110=>5 [3,1,6,4,7,2,5]=>[5,7,2,4,1,6,3]=>[2,2,2,1]=>1010101=>6 [3,1,6,4,7,5,2]=>[5,7,2,4,1,3,6]=>[2,2,3]=>1010100=>5 [3,1,6,5,2,4,7]=>[5,7,2,3,6,4,1]=>[2,3,1,1]=>1010011=>4 [3,1,6,5,2,7,4]=>[5,7,2,3,6,1,4]=>[2,3,2]=>1010010=>5 [3,1,6,5,4,2,7]=>[5,7,2,3,4,6,1]=>[2,4,1]=>1010001=>4 [3,1,6,5,4,7,2]=>[5,7,2,3,4,1,6]=>[2,3,2]=>1010010=>5 [3,1,6,5,7,2,4]=>[5,7,2,3,1,6,4]=>[2,2,2,1]=>1010101=>6 [3,1,6,5,7,4,2]=>[5,7,2,3,1,4,6]=>[2,2,3]=>1010100=>5 [3,1,6,7,2,4,5]=>[5,7,2,1,6,4,3]=>[2,1,2,1,1]=>1011011=>4 [3,1,6,7,2,5,4]=>[5,7,2,1,6,3,4]=>[2,1,2,2]=>1011010=>5 [3,1,6,7,4,2,5]=>[5,7,2,1,4,6,3]=>[2,1,3,1]=>1011001=>4 [3,1,6,7,4,5,2]=>[5,7,2,1,4,3,6]=>[2,1,2,2]=>1011010=>5 [3,1,6,7,5,2,4]=>[5,7,2,1,3,6,4]=>[2,1,3,1]=>1011001=>4 [3,1,6,7,5,4,2]=>[5,7,2,1,3,4,6]=>[2,1,4]=>1011000=>3 [3,1,7,2,4,5,6]=>[5,7,1,6,4,3,2]=>[2,2,1,1,1]=>1010111=>4 [3,1,7,2,4,6,5]=>[5,7,1,6,4,2,3]=>[2,2,1,2]=>1010110=>5 [3,1,7,2,5,4,6]=>[5,7,1,6,3,4,2]=>[2,2,2,1]=>1010101=>6 [3,1,7,2,5,6,4]=>[5,7,1,6,3,2,4]=>[2,2,1,2]=>1010110=>5 [3,1,7,2,6,4,5]=>[5,7,1,6,2,4,3]=>[2,2,2,1]=>1010101=>6 [3,1,7,2,6,5,4]=>[5,7,1,6,2,3,4]=>[2,2,3]=>1010100=>5 [3,1,7,4,2,5,6]=>[5,7,1,4,6,3,2]=>[2,3,1,1]=>1010011=>4 [3,1,7,4,2,6,5]=>[5,7,1,4,6,2,3]=>[2,3,2]=>1010010=>5 [3,1,7,4,5,2,6]=>[5,7,1,4,3,6,2]=>[2,2,2,1]=>1010101=>6 [3,1,7,4,5,6,2]=>[5,7,1,4,3,2,6]=>[2,2,1,2]=>1010110=>5 [3,1,7,4,6,2,5]=>[5,7,1,4,2,6,3]=>[2,2,2,1]=>1010101=>6 [3,1,7,4,6,5,2]=>[5,7,1,4,2,3,6]=>[2,2,3]=>1010100=>5 [3,1,7,5,2,4,6]=>[5,7,1,3,6,4,2]=>[2,3,1,1]=>1010011=>4 [3,1,7,5,2,6,4]=>[5,7,1,3,6,2,4]=>[2,3,2]=>1010010=>5 [3,1,7,5,4,2,6]=>[5,7,1,3,4,6,2]=>[2,4,1]=>1010001=>4 [3,1,7,5,4,6,2]=>[5,7,1,3,4,2,6]=>[2,3,2]=>1010010=>5 [3,1,7,5,6,2,4]=>[5,7,1,3,2,6,4]=>[2,2,2,1]=>1010101=>6 [3,1,7,5,6,4,2]=>[5,7,1,3,2,4,6]=>[2,2,3]=>1010100=>5 [3,1,7,6,2,4,5]=>[5,7,1,2,6,4,3]=>[2,3,1,1]=>1010011=>4 [3,1,7,6,2,5,4]=>[5,7,1,2,6,3,4]=>[2,3,2]=>1010010=>5 [3,1,7,6,4,2,5]=>[5,7,1,2,4,6,3]=>[2,4,1]=>1010001=>4 [3,1,7,6,4,5,2]=>[5,7,1,2,4,3,6]=>[2,3,2]=>1010010=>5 [3,1,7,6,5,2,4]=>[5,7,1,2,3,6,4]=>[2,4,1]=>1010001=>4 [3,1,7,6,5,4,2]=>[5,7,1,2,3,4,6]=>[2,5]=>1010000=>3 [3,2,1,4,5,6,7]=>[5,6,7,4,3,2,1]=>[3,1,1,1,1]=>1001111=>2 [3,2,1,4,5,7,6]=>[5,6,7,4,3,1,2]=>[3,1,1,2]=>1001110=>3 [3,2,1,4,6,5,7]=>[5,6,7,4,2,3,1]=>[3,1,2,1]=>1001101=>4 [3,2,1,4,6,7,5]=>[5,6,7,4,2,1,3]=>[3,1,1,2]=>1001110=>3 [3,2,1,4,7,5,6]=>[5,6,7,4,1,3,2]=>[3,1,2,1]=>1001101=>4 [3,2,1,4,7,6,5]=>[5,6,7,4,1,2,3]=>[3,1,3]=>1001100=>3 [3,2,1,5,4,6,7]=>[5,6,7,3,4,2,1]=>[3,2,1,1]=>1001011=>4 [3,2,1,5,4,7,6]=>[5,6,7,3,4,1,2]=>[3,2,2]=>1001010=>5 [3,2,1,5,6,4,7]=>[5,6,7,3,2,4,1]=>[3,1,2,1]=>1001101=>4 [3,2,1,5,6,7,4]=>[5,6,7,3,2,1,4]=>[3,1,1,2]=>1001110=>3 [3,2,1,5,7,4,6]=>[5,6,7,3,1,4,2]=>[3,1,2,1]=>1001101=>4 [3,2,1,5,7,6,4]=>[5,6,7,3,1,2,4]=>[3,1,3]=>1001100=>3 [3,2,1,6,4,5,7]=>[5,6,7,2,4,3,1]=>[3,2,1,1]=>1001011=>4 [3,2,1,6,4,7,5]=>[5,6,7,2,4,1,3]=>[3,2,2]=>1001010=>5 [3,2,1,6,5,4,7]=>[5,6,7,2,3,4,1]=>[3,3,1]=>1001001=>4 [3,2,1,6,5,7,4]=>[5,6,7,2,3,1,4]=>[3,2,2]=>1001010=>5 [3,2,1,6,7,4,5]=>[5,6,7,2,1,4,3]=>[3,1,2,1]=>1001101=>4 [3,2,1,6,7,5,4]=>[5,6,7,2,1,3,4]=>[3,1,3]=>1001100=>3 [3,2,1,7,4,5,6]=>[5,6,7,1,4,3,2]=>[3,2,1,1]=>1001011=>4 [3,2,1,7,4,6,5]=>[5,6,7,1,4,2,3]=>[3,2,2]=>1001010=>5 [3,2,1,7,5,4,6]=>[5,6,7,1,3,4,2]=>[3,3,1]=>1001001=>4 [3,2,1,7,5,6,4]=>[5,6,7,1,3,2,4]=>[3,2,2]=>1001010=>5 [3,2,1,7,6,4,5]=>[5,6,7,1,2,4,3]=>[3,3,1]=>1001001=>4 [3,2,1,7,6,5,4]=>[5,6,7,1,2,3,4]=>[3,4]=>1001000=>3 [3,2,4,1,5,6,7]=>[5,6,4,7,3,2,1]=>[2,2,1,1,1]=>1010111=>4 [3,2,4,1,5,7,6]=>[5,6,4,7,3,1,2]=>[2,2,1,2]=>1010110=>5 [3,2,4,1,6,5,7]=>[5,6,4,7,2,3,1]=>[2,2,2,1]=>1010101=>6 [3,2,4,1,6,7,5]=>[5,6,4,7,2,1,3]=>[2,2,1,2]=>1010110=>5 [3,2,4,1,7,5,6]=>[5,6,4,7,1,3,2]=>[2,2,2,1]=>1010101=>6 [3,2,4,1,7,6,5]=>[5,6,4,7,1,2,3]=>[2,2,3]=>1010100=>5 [3,2,4,5,1,6,7]=>[5,6,4,3,7,2,1]=>[2,1,2,1,1]=>1011011=>4 [3,2,4,5,1,7,6]=>[5,6,4,3,7,1,2]=>[2,1,2,2]=>1011010=>5 [3,2,4,5,6,1,7]=>[5,6,4,3,2,7,1]=>[2,1,1,2,1]=>1011101=>4 [3,2,4,5,6,7,1]=>[5,6,4,3,2,1,7]=>[2,1,1,1,2]=>1011110=>3 [3,2,4,5,7,1,6]=>[5,6,4,3,1,7,2]=>[2,1,1,2,1]=>1011101=>4 [3,2,4,5,7,6,1]=>[5,6,4,3,1,2,7]=>[2,1,1,3]=>1011100=>3 [3,2,4,6,1,5,7]=>[5,6,4,2,7,3,1]=>[2,1,2,1,1]=>1011011=>4 [3,2,4,6,1,7,5]=>[5,6,4,2,7,1,3]=>[2,1,2,2]=>1011010=>5 [3,2,4,6,5,1,7]=>[5,6,4,2,3,7,1]=>[2,1,3,1]=>1011001=>4 [3,2,4,6,5,7,1]=>[5,6,4,2,3,1,7]=>[2,1,2,2]=>1011010=>5 [3,2,4,6,7,1,5]=>[5,6,4,2,1,7,3]=>[2,1,1,2,1]=>1011101=>4 [3,2,4,6,7,5,1]=>[5,6,4,2,1,3,7]=>[2,1,1,3]=>1011100=>3 [3,2,4,7,1,5,6]=>[5,6,4,1,7,3,2]=>[2,1,2,1,1]=>1011011=>4 [3,2,4,7,1,6,5]=>[5,6,4,1,7,2,3]=>[2,1,2,2]=>1011010=>5 [3,2,4,7,5,1,6]=>[5,6,4,1,3,7,2]=>[2,1,3,1]=>1011001=>4 [3,2,4,7,5,6,1]=>[5,6,4,1,3,2,7]=>[2,1,2,2]=>1011010=>5 [3,2,4,7,6,1,5]=>[5,6,4,1,2,7,3]=>[2,1,3,1]=>1011001=>4 [3,2,4,7,6,5,1]=>[5,6,4,1,2,3,7]=>[2,1,4]=>1011000=>3 [3,2,5,1,4,6,7]=>[5,6,3,7,4,2,1]=>[2,2,1,1,1]=>1010111=>4 [3,2,5,1,4,7,6]=>[5,6,3,7,4,1,2]=>[2,2,1,2]=>1010110=>5 [3,2,5,1,6,4,7]=>[5,6,3,7,2,4,1]=>[2,2,2,1]=>1010101=>6 [3,2,5,1,6,7,4]=>[5,6,3,7,2,1,4]=>[2,2,1,2]=>1010110=>5 [3,2,5,1,7,4,6]=>[5,6,3,7,1,4,2]=>[2,2,2,1]=>1010101=>6 [3,2,5,1,7,6,4]=>[5,6,3,7,1,2,4]=>[2,2,3]=>1010100=>5 [3,2,5,4,1,6,7]=>[5,6,3,4,7,2,1]=>[2,3,1,1]=>1010011=>4 [3,2,5,4,1,7,6]=>[5,6,3,4,7,1,2]=>[2,3,2]=>1010010=>5 [3,2,5,4,6,1,7]=>[5,6,3,4,2,7,1]=>[2,2,2,1]=>1010101=>6 [3,2,5,4,6,7,1]=>[5,6,3,4,2,1,7]=>[2,2,1,2]=>1010110=>5 [3,2,5,4,7,1,6]=>[5,6,3,4,1,7,2]=>[2,2,2,1]=>1010101=>6 [3,2,5,4,7,6,1]=>[5,6,3,4,1,2,7]=>[2,2,3]=>1010100=>5 [3,2,5,6,1,4,7]=>[5,6,3,2,7,4,1]=>[2,1,2,1,1]=>1011011=>4 [3,2,5,6,1,7,4]=>[5,6,3,2,7,1,4]=>[2,1,2,2]=>1011010=>5 [3,2,5,6,4,1,7]=>[5,6,3,2,4,7,1]=>[2,1,3,1]=>1011001=>4 [3,2,5,6,4,7,1]=>[5,6,3,2,4,1,7]=>[2,1,2,2]=>1011010=>5 [3,2,5,6,7,1,4]=>[5,6,3,2,1,7,4]=>[2,1,1,2,1]=>1011101=>4 [3,2,5,6,7,4,1]=>[5,6,3,2,1,4,7]=>[2,1,1,3]=>1011100=>3 [3,2,5,7,1,4,6]=>[5,6,3,1,7,4,2]=>[2,1,2,1,1]=>1011011=>4 [3,2,5,7,1,6,4]=>[5,6,3,1,7,2,4]=>[2,1,2,2]=>1011010=>5 [3,2,5,7,4,1,6]=>[5,6,3,1,4,7,2]=>[2,1,3,1]=>1011001=>4 [3,2,5,7,4,6,1]=>[5,6,3,1,4,2,7]=>[2,1,2,2]=>1011010=>5 [3,2,5,7,6,1,4]=>[5,6,3,1,2,7,4]=>[2,1,3,1]=>1011001=>4 [3,2,5,7,6,4,1]=>[5,6,3,1,2,4,7]=>[2,1,4]=>1011000=>3 [3,2,6,1,4,5,7]=>[5,6,2,7,4,3,1]=>[2,2,1,1,1]=>1010111=>4 [3,2,6,1,4,7,5]=>[5,6,2,7,4,1,3]=>[2,2,1,2]=>1010110=>5 [3,2,6,1,5,4,7]=>[5,6,2,7,3,4,1]=>[2,2,2,1]=>1010101=>6 [3,2,6,1,5,7,4]=>[5,6,2,7,3,1,4]=>[2,2,1,2]=>1010110=>5 [3,2,6,1,7,4,5]=>[5,6,2,7,1,4,3]=>[2,2,2,1]=>1010101=>6 [3,2,6,1,7,5,4]=>[5,6,2,7,1,3,4]=>[2,2,3]=>1010100=>5 [3,2,6,4,1,5,7]=>[5,6,2,4,7,3,1]=>[2,3,1,1]=>1010011=>4 [3,2,6,4,1,7,5]=>[5,6,2,4,7,1,3]=>[2,3,2]=>1010010=>5 [3,2,6,4,5,1,7]=>[5,6,2,4,3,7,1]=>[2,2,2,1]=>1010101=>6 [3,2,6,4,5,7,1]=>[5,6,2,4,3,1,7]=>[2,2,1,2]=>1010110=>5 [3,2,6,4,7,1,5]=>[5,6,2,4,1,7,3]=>[2,2,2,1]=>1010101=>6 [3,2,6,4,7,5,1]=>[5,6,2,4,1,3,7]=>[2,2,3]=>1010100=>5 [3,2,6,5,1,4,7]=>[5,6,2,3,7,4,1]=>[2,3,1,1]=>1010011=>4 [3,2,6,5,1,7,4]=>[5,6,2,3,7,1,4]=>[2,3,2]=>1010010=>5 [3,2,6,5,4,1,7]=>[5,6,2,3,4,7,1]=>[2,4,1]=>1010001=>4 [3,2,6,5,4,7,1]=>[5,6,2,3,4,1,7]=>[2,3,2]=>1010010=>5 [3,2,6,5,7,1,4]=>[5,6,2,3,1,7,4]=>[2,2,2,1]=>1010101=>6 [3,2,6,5,7,4,1]=>[5,6,2,3,1,4,7]=>[2,2,3]=>1010100=>5 [3,2,6,7,1,4,5]=>[5,6,2,1,7,4,3]=>[2,1,2,1,1]=>1011011=>4 [3,2,6,7,1,5,4]=>[5,6,2,1,7,3,4]=>[2,1,2,2]=>1011010=>5 [3,2,6,7,4,1,5]=>[5,6,2,1,4,7,3]=>[2,1,3,1]=>1011001=>4 [3,2,6,7,4,5,1]=>[5,6,2,1,4,3,7]=>[2,1,2,2]=>1011010=>5 [3,2,6,7,5,1,4]=>[5,6,2,1,3,7,4]=>[2,1,3,1]=>1011001=>4 [3,2,6,7,5,4,1]=>[5,6,2,1,3,4,7]=>[2,1,4]=>1011000=>3 [3,2,7,1,4,5,6]=>[5,6,1,7,4,3,2]=>[2,2,1,1,1]=>1010111=>4 [3,2,7,1,4,6,5]=>[5,6,1,7,4,2,3]=>[2,2,1,2]=>1010110=>5 [3,2,7,1,5,4,6]=>[5,6,1,7,3,4,2]=>[2,2,2,1]=>1010101=>6 [3,2,7,1,5,6,4]=>[5,6,1,7,3,2,4]=>[2,2,1,2]=>1010110=>5 [3,2,7,1,6,4,5]=>[5,6,1,7,2,4,3]=>[2,2,2,1]=>1010101=>6 [3,2,7,1,6,5,4]=>[5,6,1,7,2,3,4]=>[2,2,3]=>1010100=>5 [3,2,7,4,1,5,6]=>[5,6,1,4,7,3,2]=>[2,3,1,1]=>1010011=>4 [3,2,7,4,1,6,5]=>[5,6,1,4,7,2,3]=>[2,3,2]=>1010010=>5 [3,2,7,4,5,1,6]=>[5,6,1,4,3,7,2]=>[2,2,2,1]=>1010101=>6 [3,2,7,4,5,6,1]=>[5,6,1,4,3,2,7]=>[2,2,1,2]=>1010110=>5 [3,2,7,4,6,1,5]=>[5,6,1,4,2,7,3]=>[2,2,2,1]=>1010101=>6 [3,2,7,4,6,5,1]=>[5,6,1,4,2,3,7]=>[2,2,3]=>1010100=>5 [3,2,7,5,1,4,6]=>[5,6,1,3,7,4,2]=>[2,3,1,1]=>1010011=>4 [3,2,7,5,1,6,4]=>[5,6,1,3,7,2,4]=>[2,3,2]=>1010010=>5 [3,2,7,5,4,1,6]=>[5,6,1,3,4,7,2]=>[2,4,1]=>1010001=>4 [3,2,7,5,4,6,1]=>[5,6,1,3,4,2,7]=>[2,3,2]=>1010010=>5 [3,2,7,5,6,1,4]=>[5,6,1,3,2,7,4]=>[2,2,2,1]=>1010101=>6 [3,2,7,5,6,4,1]=>[5,6,1,3,2,4,7]=>[2,2,3]=>1010100=>5 [3,2,7,6,1,4,5]=>[5,6,1,2,7,4,3]=>[2,3,1,1]=>1010011=>4 [3,2,7,6,1,5,4]=>[5,6,1,2,7,3,4]=>[2,3,2]=>1010010=>5 [3,2,7,6,4,1,5]=>[5,6,1,2,4,7,3]=>[2,4,1]=>1010001=>4 [3,2,7,6,4,5,1]=>[5,6,1,2,4,3,7]=>[2,3,2]=>1010010=>5 [3,2,7,6,5,1,4]=>[5,6,1,2,3,7,4]=>[2,4,1]=>1010001=>4 [3,2,7,6,5,4,1]=>[5,6,1,2,3,4,7]=>[2,5]=>1010000=>3 [3,4,1,2,5,6,7]=>[5,4,7,6,3,2,1]=>[1,2,1,1,1,1]=>1101111=>2 [3,4,1,2,5,7,6]=>[5,4,7,6,3,1,2]=>[1,2,1,1,2]=>1101110=>3 [3,4,1,2,6,5,7]=>[5,4,7,6,2,3,1]=>[1,2,1,2,1]=>1101101=>4 [3,4,1,2,6,7,5]=>[5,4,7,6,2,1,3]=>[1,2,1,1,2]=>1101110=>3 [3,4,1,2,7,5,6]=>[5,4,7,6,1,3,2]=>[1,2,1,2,1]=>1101101=>4 [3,4,1,2,7,6,5]=>[5,4,7,6,1,2,3]=>[1,2,1,3]=>1101100=>3 [3,4,1,5,2,6,7]=>[5,4,7,3,6,2,1]=>[1,2,2,1,1]=>1101011=>4 [3,4,1,5,2,7,6]=>[5,4,7,3,6,1,2]=>[1,2,2,2]=>1101010=>5 [3,4,1,5,6,2,7]=>[5,4,7,3,2,6,1]=>[1,2,1,2,1]=>1101101=>4 [3,4,1,5,6,7,2]=>[5,4,7,3,2,1,6]=>[1,2,1,1,2]=>1101110=>3 [3,4,1,5,7,2,6]=>[5,4,7,3,1,6,2]=>[1,2,1,2,1]=>1101101=>4 [3,4,1,5,7,6,2]=>[5,4,7,3,1,2,6]=>[1,2,1,3]=>1101100=>3 [3,4,1,6,2,5,7]=>[5,4,7,2,6,3,1]=>[1,2,2,1,1]=>1101011=>4 [3,4,1,6,2,7,5]=>[5,4,7,2,6,1,3]=>[1,2,2,2]=>1101010=>5 [3,4,1,6,5,2,7]=>[5,4,7,2,3,6,1]=>[1,2,3,1]=>1101001=>4 [3,4,1,6,5,7,2]=>[5,4,7,2,3,1,6]=>[1,2,2,2]=>1101010=>5 [3,4,1,6,7,2,5]=>[5,4,7,2,1,6,3]=>[1,2,1,2,1]=>1101101=>4 [3,4,1,6,7,5,2]=>[5,4,7,2,1,3,6]=>[1,2,1,3]=>1101100=>3 [3,4,1,7,2,5,6]=>[5,4,7,1,6,3,2]=>[1,2,2,1,1]=>1101011=>4 [3,4,1,7,2,6,5]=>[5,4,7,1,6,2,3]=>[1,2,2,2]=>1101010=>5 [3,4,1,7,5,2,6]=>[5,4,7,1,3,6,2]=>[1,2,3,1]=>1101001=>4 [3,4,1,7,5,6,2]=>[5,4,7,1,3,2,6]=>[1,2,2,2]=>1101010=>5 [3,4,1,7,6,2,5]=>[5,4,7,1,2,6,3]=>[1,2,3,1]=>1101001=>4 [3,4,1,7,6,5,2]=>[5,4,7,1,2,3,6]=>[1,2,4]=>1101000=>3 [3,4,2,1,5,6,7]=>[5,4,6,7,3,2,1]=>[1,3,1,1,1]=>1100111=>2 [3,4,2,1,5,7,6]=>[5,4,6,7,3,1,2]=>[1,3,1,2]=>1100110=>3 [3,4,2,1,6,5,7]=>[5,4,6,7,2,3,1]=>[1,3,2,1]=>1100101=>4 [3,4,2,1,6,7,5]=>[5,4,6,7,2,1,3]=>[1,3,1,2]=>1100110=>3 [3,4,2,1,7,5,6]=>[5,4,6,7,1,3,2]=>[1,3,2,1]=>1100101=>4 [3,4,2,1,7,6,5]=>[5,4,6,7,1,2,3]=>[1,3,3]=>1100100=>3 [3,4,2,5,1,6,7]=>[5,4,6,3,7,2,1]=>[1,2,2,1,1]=>1101011=>4 [3,4,2,5,1,7,6]=>[5,4,6,3,7,1,2]=>[1,2,2,2]=>1101010=>5 [3,4,2,5,6,1,7]=>[5,4,6,3,2,7,1]=>[1,2,1,2,1]=>1101101=>4 [3,4,2,5,6,7,1]=>[5,4,6,3,2,1,7]=>[1,2,1,1,2]=>1101110=>3 [3,4,2,5,7,1,6]=>[5,4,6,3,1,7,2]=>[1,2,1,2,1]=>1101101=>4 [3,4,2,5,7,6,1]=>[5,4,6,3,1,2,7]=>[1,2,1,3]=>1101100=>3 [3,4,2,6,1,5,7]=>[5,4,6,2,7,3,1]=>[1,2,2,1,1]=>1101011=>4 [3,4,2,6,1,7,5]=>[5,4,6,2,7,1,3]=>[1,2,2,2]=>1101010=>5 [3,4,2,6,5,1,7]=>[5,4,6,2,3,7,1]=>[1,2,3,1]=>1101001=>4 [3,4,2,6,5,7,1]=>[5,4,6,2,3,1,7]=>[1,2,2,2]=>1101010=>5 [3,4,2,6,7,1,5]=>[5,4,6,2,1,7,3]=>[1,2,1,2,1]=>1101101=>4 [3,4,2,6,7,5,1]=>[5,4,6,2,1,3,7]=>[1,2,1,3]=>1101100=>3 [3,4,2,7,1,5,6]=>[5,4,6,1,7,3,2]=>[1,2,2,1,1]=>1101011=>4 [3,4,2,7,1,6,5]=>[5,4,6,1,7,2,3]=>[1,2,2,2]=>1101010=>5 [3,4,2,7,5,1,6]=>[5,4,6,1,3,7,2]=>[1,2,3,1]=>1101001=>4 [3,4,2,7,5,6,1]=>[5,4,6,1,3,2,7]=>[1,2,2,2]=>1101010=>5 [3,4,2,7,6,1,5]=>[5,4,6,1,2,7,3]=>[1,2,3,1]=>1101001=>4 [3,4,2,7,6,5,1]=>[5,4,6,1,2,3,7]=>[1,2,4]=>1101000=>3 [3,4,5,1,2,6,7]=>[5,4,3,7,6,2,1]=>[1,1,2,1,1,1]=>1110111=>2 [3,4,5,1,2,7,6]=>[5,4,3,7,6,1,2]=>[1,1,2,1,2]=>1110110=>3 [3,4,5,1,6,2,7]=>[5,4,3,7,2,6,1]=>[1,1,2,2,1]=>1110101=>4 [3,4,5,1,6,7,2]=>[5,4,3,7,2,1,6]=>[1,1,2,1,2]=>1110110=>3 [3,4,5,1,7,2,6]=>[5,4,3,7,1,6,2]=>[1,1,2,2,1]=>1110101=>4 [3,4,5,1,7,6,2]=>[5,4,3,7,1,2,6]=>[1,1,2,3]=>1110100=>3 [3,4,5,2,1,6,7]=>[5,4,3,6,7,2,1]=>[1,1,3,1,1]=>1110011=>2 [3,4,5,2,1,7,6]=>[5,4,3,6,7,1,2]=>[1,1,3,2]=>1110010=>3 [3,4,5,2,6,1,7]=>[5,4,3,6,2,7,1]=>[1,1,2,2,1]=>1110101=>4 [3,4,5,2,6,7,1]=>[5,4,3,6,2,1,7]=>[1,1,2,1,2]=>1110110=>3 [3,4,5,2,7,1,6]=>[5,4,3,6,1,7,2]=>[1,1,2,2,1]=>1110101=>4 [3,4,5,2,7,6,1]=>[5,4,3,6,1,2,7]=>[1,1,2,3]=>1110100=>3 [3,4,5,6,1,2,7]=>[5,4,3,2,7,6,1]=>[1,1,1,2,1,1]=>1111011=>2 [3,4,5,6,1,7,2]=>[5,4,3,2,7,1,6]=>[1,1,1,2,2]=>1111010=>3 [3,4,5,6,2,1,7]=>[5,4,3,2,6,7,1]=>[1,1,1,3,1]=>1111001=>2 [3,4,5,6,2,7,1]=>[5,4,3,2,6,1,7]=>[1,1,1,2,2]=>1111010=>3 [3,4,5,6,7,1,2]=>[5,4,3,2,1,7,6]=>[1,1,1,1,2,1]=>1111101=>2 [3,4,5,6,7,2,1]=>[5,4,3,2,1,6,7]=>[1,1,1,1,3]=>1111100=>1 [3,4,5,7,1,2,6]=>[5,4,3,1,7,6,2]=>[1,1,1,2,1,1]=>1111011=>2 [3,4,5,7,1,6,2]=>[5,4,3,1,7,2,6]=>[1,1,1,2,2]=>1111010=>3 [3,4,5,7,2,1,6]=>[5,4,3,1,6,7,2]=>[1,1,1,3,1]=>1111001=>2 [3,4,5,7,2,6,1]=>[5,4,3,1,6,2,7]=>[1,1,1,2,2]=>1111010=>3 [3,4,5,7,6,1,2]=>[5,4,3,1,2,7,6]=>[1,1,1,3,1]=>1111001=>2 [3,4,5,7,6,2,1]=>[5,4,3,1,2,6,7]=>[1,1,1,4]=>1111000=>1 [3,4,6,1,2,5,7]=>[5,4,2,7,6,3,1]=>[1,1,2,1,1,1]=>1110111=>2 [3,4,6,1,2,7,5]=>[5,4,2,7,6,1,3]=>[1,1,2,1,2]=>1110110=>3 [3,4,6,1,5,2,7]=>[5,4,2,7,3,6,1]=>[1,1,2,2,1]=>1110101=>4 [3,4,6,1,5,7,2]=>[5,4,2,7,3,1,6]=>[1,1,2,1,2]=>1110110=>3 [3,4,6,1,7,2,5]=>[5,4,2,7,1,6,3]=>[1,1,2,2,1]=>1110101=>4 [3,4,6,1,7,5,2]=>[5,4,2,7,1,3,6]=>[1,1,2,3]=>1110100=>3 [3,4,6,2,1,5,7]=>[5,4,2,6,7,3,1]=>[1,1,3,1,1]=>1110011=>2 [3,4,6,2,1,7,5]=>[5,4,2,6,7,1,3]=>[1,1,3,2]=>1110010=>3 [3,4,6,2,5,1,7]=>[5,4,2,6,3,7,1]=>[1,1,2,2,1]=>1110101=>4 [3,4,6,2,5,7,1]=>[5,4,2,6,3,1,7]=>[1,1,2,1,2]=>1110110=>3 [3,4,6,2,7,1,5]=>[5,4,2,6,1,7,3]=>[1,1,2,2,1]=>1110101=>4 [3,4,6,2,7,5,1]=>[5,4,2,6,1,3,7]=>[1,1,2,3]=>1110100=>3 [3,4,6,5,1,2,7]=>[5,4,2,3,7,6,1]=>[1,1,3,1,1]=>1110011=>2 [3,4,6,5,1,7,2]=>[5,4,2,3,7,1,6]=>[1,1,3,2]=>1110010=>3 [3,4,6,5,2,1,7]=>[5,4,2,3,6,7,1]=>[1,1,4,1]=>1110001=>2 [3,4,6,5,2,7,1]=>[5,4,2,3,6,1,7]=>[1,1,3,2]=>1110010=>3 [3,4,6,5,7,1,2]=>[5,4,2,3,1,7,6]=>[1,1,2,2,1]=>1110101=>4 [3,4,6,5,7,2,1]=>[5,4,2,3,1,6,7]=>[1,1,2,3]=>1110100=>3 [3,4,6,7,1,2,5]=>[5,4,2,1,7,6,3]=>[1,1,1,2,1,1]=>1111011=>2 [3,4,6,7,1,5,2]=>[5,4,2,1,7,3,6]=>[1,1,1,2,2]=>1111010=>3 [3,4,6,7,2,1,5]=>[5,4,2,1,6,7,3]=>[1,1,1,3,1]=>1111001=>2 [3,4,6,7,2,5,1]=>[5,4,2,1,6,3,7]=>[1,1,1,2,2]=>1111010=>3 [3,4,6,7,5,1,2]=>[5,4,2,1,3,7,6]=>[1,1,1,3,1]=>1111001=>2 [3,4,6,7,5,2,1]=>[5,4,2,1,3,6,7]=>[1,1,1,4]=>1111000=>1 [3,4,7,1,2,5,6]=>[5,4,1,7,6,3,2]=>[1,1,2,1,1,1]=>1110111=>2 [3,4,7,1,2,6,5]=>[5,4,1,7,6,2,3]=>[1,1,2,1,2]=>1110110=>3 [3,4,7,1,5,2,6]=>[5,4,1,7,3,6,2]=>[1,1,2,2,1]=>1110101=>4 [3,4,7,1,5,6,2]=>[5,4,1,7,3,2,6]=>[1,1,2,1,2]=>1110110=>3 [3,4,7,1,6,2,5]=>[5,4,1,7,2,6,3]=>[1,1,2,2,1]=>1110101=>4 [3,4,7,1,6,5,2]=>[5,4,1,7,2,3,6]=>[1,1,2,3]=>1110100=>3 [3,4,7,2,1,5,6]=>[5,4,1,6,7,3,2]=>[1,1,3,1,1]=>1110011=>2 [3,4,7,2,1,6,5]=>[5,4,1,6,7,2,3]=>[1,1,3,2]=>1110010=>3 [3,4,7,2,5,1,6]=>[5,4,1,6,3,7,2]=>[1,1,2,2,1]=>1110101=>4 [3,4,7,2,5,6,1]=>[5,4,1,6,3,2,7]=>[1,1,2,1,2]=>1110110=>3 [3,4,7,2,6,1,5]=>[5,4,1,6,2,7,3]=>[1,1,2,2,1]=>1110101=>4 [3,4,7,2,6,5,1]=>[5,4,1,6,2,3,7]=>[1,1,2,3]=>1110100=>3 [3,4,7,5,1,2,6]=>[5,4,1,3,7,6,2]=>[1,1,3,1,1]=>1110011=>2 [3,4,7,5,1,6,2]=>[5,4,1,3,7,2,6]=>[1,1,3,2]=>1110010=>3 [3,4,7,5,2,1,6]=>[5,4,1,3,6,7,2]=>[1,1,4,1]=>1110001=>2 [3,4,7,5,2,6,1]=>[5,4,1,3,6,2,7]=>[1,1,3,2]=>1110010=>3 [3,4,7,5,6,1,2]=>[5,4,1,3,2,7,6]=>[1,1,2,2,1]=>1110101=>4 [3,4,7,5,6,2,1]=>[5,4,1,3,2,6,7]=>[1,1,2,3]=>1110100=>3 [3,4,7,6,1,2,5]=>[5,4,1,2,7,6,3]=>[1,1,3,1,1]=>1110011=>2 [3,4,7,6,1,5,2]=>[5,4,1,2,7,3,6]=>[1,1,3,2]=>1110010=>3 [3,4,7,6,2,1,5]=>[5,4,1,2,6,7,3]=>[1,1,4,1]=>1110001=>2 [3,4,7,6,2,5,1]=>[5,4,1,2,6,3,7]=>[1,1,3,2]=>1110010=>3 [3,4,7,6,5,1,2]=>[5,4,1,2,3,7,6]=>[1,1,4,1]=>1110001=>2 [3,4,7,6,5,2,1]=>[5,4,1,2,3,6,7]=>[1,1,5]=>1110000=>1 [3,5,1,2,4,6,7]=>[5,3,7,6,4,2,1]=>[1,2,1,1,1,1]=>1101111=>2 [3,5,1,2,4,7,6]=>[5,3,7,6,4,1,2]=>[1,2,1,1,2]=>1101110=>3 [3,5,1,2,6,4,7]=>[5,3,7,6,2,4,1]=>[1,2,1,2,1]=>1101101=>4 [3,5,1,2,6,7,4]=>[5,3,7,6,2,1,4]=>[1,2,1,1,2]=>1101110=>3 [3,5,1,2,7,4,6]=>[5,3,7,6,1,4,2]=>[1,2,1,2,1]=>1101101=>4 [3,5,1,2,7,6,4]=>[5,3,7,6,1,2,4]=>[1,2,1,3]=>1101100=>3 [3,5,1,4,2,6,7]=>[5,3,7,4,6,2,1]=>[1,2,2,1,1]=>1101011=>4 [3,5,1,4,2,7,6]=>[5,3,7,4,6,1,2]=>[1,2,2,2]=>1101010=>5 [3,5,1,4,6,2,7]=>[5,3,7,4,2,6,1]=>[1,2,1,2,1]=>1101101=>4 [3,5,1,4,6,7,2]=>[5,3,7,4,2,1,6]=>[1,2,1,1,2]=>1101110=>3 [3,5,1,4,7,2,6]=>[5,3,7,4,1,6,2]=>[1,2,1,2,1]=>1101101=>4 [3,5,1,4,7,6,2]=>[5,3,7,4,1,2,6]=>[1,2,1,3]=>1101100=>3 [3,5,1,6,2,4,7]=>[5,3,7,2,6,4,1]=>[1,2,2,1,1]=>1101011=>4 [3,5,1,6,2,7,4]=>[5,3,7,2,6,1,4]=>[1,2,2,2]=>1101010=>5 [3,5,1,6,4,2,7]=>[5,3,7,2,4,6,1]=>[1,2,3,1]=>1101001=>4 [3,5,1,6,4,7,2]=>[5,3,7,2,4,1,6]=>[1,2,2,2]=>1101010=>5 [3,5,1,6,7,2,4]=>[5,3,7,2,1,6,4]=>[1,2,1,2,1]=>1101101=>4 [3,5,1,6,7,4,2]=>[5,3,7,2,1,4,6]=>[1,2,1,3]=>1101100=>3 [3,5,1,7,2,4,6]=>[5,3,7,1,6,4,2]=>[1,2,2,1,1]=>1101011=>4 [3,5,1,7,2,6,4]=>[5,3,7,1,6,2,4]=>[1,2,2,2]=>1101010=>5 [3,5,1,7,4,2,6]=>[5,3,7,1,4,6,2]=>[1,2,3,1]=>1101001=>4 [3,5,1,7,4,6,2]=>[5,3,7,1,4,2,6]=>[1,2,2,2]=>1101010=>5 [3,5,1,7,6,2,4]=>[5,3,7,1,2,6,4]=>[1,2,3,1]=>1101001=>4 [3,5,1,7,6,4,2]=>[5,3,7,1,2,4,6]=>[1,2,4]=>1101000=>3 [3,5,2,1,4,6,7]=>[5,3,6,7,4,2,1]=>[1,3,1,1,1]=>1100111=>2 [3,5,2,1,4,7,6]=>[5,3,6,7,4,1,2]=>[1,3,1,2]=>1100110=>3 [3,5,2,1,6,4,7]=>[5,3,6,7,2,4,1]=>[1,3,2,1]=>1100101=>4 [3,5,2,1,6,7,4]=>[5,3,6,7,2,1,4]=>[1,3,1,2]=>1100110=>3 [3,5,2,1,7,4,6]=>[5,3,6,7,1,4,2]=>[1,3,2,1]=>1100101=>4 [3,5,2,1,7,6,4]=>[5,3,6,7,1,2,4]=>[1,3,3]=>1100100=>3 [3,5,2,4,1,6,7]=>[5,3,6,4,7,2,1]=>[1,2,2,1,1]=>1101011=>4 [3,5,2,4,1,7,6]=>[5,3,6,4,7,1,2]=>[1,2,2,2]=>1101010=>5 [3,5,2,4,6,1,7]=>[5,3,6,4,2,7,1]=>[1,2,1,2,1]=>1101101=>4 [3,5,2,4,6,7,1]=>[5,3,6,4,2,1,7]=>[1,2,1,1,2]=>1101110=>3 [3,5,2,4,7,1,6]=>[5,3,6,4,1,7,2]=>[1,2,1,2,1]=>1101101=>4 [3,5,2,4,7,6,1]=>[5,3,6,4,1,2,7]=>[1,2,1,3]=>1101100=>3 [3,5,2,6,1,4,7]=>[5,3,6,2,7,4,1]=>[1,2,2,1,1]=>1101011=>4 [3,5,2,6,1,7,4]=>[5,3,6,2,7,1,4]=>[1,2,2,2]=>1101010=>5 [3,5,2,6,4,1,7]=>[5,3,6,2,4,7,1]=>[1,2,3,1]=>1101001=>4 [3,5,2,6,4,7,1]=>[5,3,6,2,4,1,7]=>[1,2,2,2]=>1101010=>5 [3,5,2,6,7,1,4]=>[5,3,6,2,1,7,4]=>[1,2,1,2,1]=>1101101=>4 [3,5,2,6,7,4,1]=>[5,3,6,2,1,4,7]=>[1,2,1,3]=>1101100=>3 [3,5,2,7,1,4,6]=>[5,3,6,1,7,4,2]=>[1,2,2,1,1]=>1101011=>4 [3,5,2,7,1,6,4]=>[5,3,6,1,7,2,4]=>[1,2,2,2]=>1101010=>5 [3,5,2,7,4,1,6]=>[5,3,6,1,4,7,2]=>[1,2,3,1]=>1101001=>4 [3,5,2,7,4,6,1]=>[5,3,6,1,4,2,7]=>[1,2,2,2]=>1101010=>5 [3,5,2,7,6,1,4]=>[5,3,6,1,2,7,4]=>[1,2,3,1]=>1101001=>4 [3,5,2,7,6,4,1]=>[5,3,6,1,2,4,7]=>[1,2,4]=>1101000=>3 [3,5,4,1,2,6,7]=>[5,3,4,7,6,2,1]=>[1,3,1,1,1]=>1100111=>2 [3,5,4,1,2,7,6]=>[5,3,4,7,6,1,2]=>[1,3,1,2]=>1100110=>3 [3,5,4,1,6,2,7]=>[5,3,4,7,2,6,1]=>[1,3,2,1]=>1100101=>4 [3,5,4,1,6,7,2]=>[5,3,4,7,2,1,6]=>[1,3,1,2]=>1100110=>3 [3,5,4,1,7,2,6]=>[5,3,4,7,1,6,2]=>[1,3,2,1]=>1100101=>4 [3,5,4,1,7,6,2]=>[5,3,4,7,1,2,6]=>[1,3,3]=>1100100=>3 [3,5,4,2,1,6,7]=>[5,3,4,6,7,2,1]=>[1,4,1,1]=>1100011=>2 [3,5,4,2,1,7,6]=>[5,3,4,6,7,1,2]=>[1,4,2]=>1100010=>3 [3,5,4,2,6,1,7]=>[5,3,4,6,2,7,1]=>[1,3,2,1]=>1100101=>4 [3,5,4,2,6,7,1]=>[5,3,4,6,2,1,7]=>[1,3,1,2]=>1100110=>3 [3,5,4,2,7,1,6]=>[5,3,4,6,1,7,2]=>[1,3,2,1]=>1100101=>4 [3,5,4,2,7,6,1]=>[5,3,4,6,1,2,7]=>[1,3,3]=>1100100=>3 [3,5,4,6,1,2,7]=>[5,3,4,2,7,6,1]=>[1,2,2,1,1]=>1101011=>4 [3,5,4,6,1,7,2]=>[5,3,4,2,7,1,6]=>[1,2,2,2]=>1101010=>5 [3,5,4,6,2,1,7]=>[5,3,4,2,6,7,1]=>[1,2,3,1]=>1101001=>4 [3,5,4,6,2,7,1]=>[5,3,4,2,6,1,7]=>[1,2,2,2]=>1101010=>5 [3,5,4,6,7,1,2]=>[5,3,4,2,1,7,6]=>[1,2,1,2,1]=>1101101=>4 [3,5,4,6,7,2,1]=>[5,3,4,2,1,6,7]=>[1,2,1,3]=>1101100=>3 [3,5,4,7,1,2,6]=>[5,3,4,1,7,6,2]=>[1,2,2,1,1]=>1101011=>4 [3,5,4,7,1,6,2]=>[5,3,4,1,7,2,6]=>[1,2,2,2]=>1101010=>5 [3,5,4,7,2,1,6]=>[5,3,4,1,6,7,2]=>[1,2,3,1]=>1101001=>4 [3,5,4,7,2,6,1]=>[5,3,4,1,6,2,7]=>[1,2,2,2]=>1101010=>5 [3,5,4,7,6,1,2]=>[5,3,4,1,2,7,6]=>[1,2,3,1]=>1101001=>4 [3,5,4,7,6,2,1]=>[5,3,4,1,2,6,7]=>[1,2,4]=>1101000=>3 [3,5,6,1,2,4,7]=>[5,3,2,7,6,4,1]=>[1,1,2,1,1,1]=>1110111=>2 [3,5,6,1,2,7,4]=>[5,3,2,7,6,1,4]=>[1,1,2,1,2]=>1110110=>3 [3,5,6,1,4,2,7]=>[5,3,2,7,4,6,1]=>[1,1,2,2,1]=>1110101=>4 [3,5,6,1,4,7,2]=>[5,3,2,7,4,1,6]=>[1,1,2,1,2]=>1110110=>3 [3,5,6,1,7,2,4]=>[5,3,2,7,1,6,4]=>[1,1,2,2,1]=>1110101=>4 [3,5,6,1,7,4,2]=>[5,3,2,7,1,4,6]=>[1,1,2,3]=>1110100=>3 [3,5,6,2,1,4,7]=>[5,3,2,6,7,4,1]=>[1,1,3,1,1]=>1110011=>2 [3,5,6,2,1,7,4]=>[5,3,2,6,7,1,4]=>[1,1,3,2]=>1110010=>3 [3,5,6,2,4,1,7]=>[5,3,2,6,4,7,1]=>[1,1,2,2,1]=>1110101=>4 [3,5,6,2,4,7,1]=>[5,3,2,6,4,1,7]=>[1,1,2,1,2]=>1110110=>3 [3,5,6,2,7,1,4]=>[5,3,2,6,1,7,4]=>[1,1,2,2,1]=>1110101=>4 [3,5,6,2,7,4,1]=>[5,3,2,6,1,4,7]=>[1,1,2,3]=>1110100=>3 [3,5,6,4,1,2,7]=>[5,3,2,4,7,6,1]=>[1,1,3,1,1]=>1110011=>2 [3,5,6,4,1,7,2]=>[5,3,2,4,7,1,6]=>[1,1,3,2]=>1110010=>3 [3,5,6,4,2,1,7]=>[5,3,2,4,6,7,1]=>[1,1,4,1]=>1110001=>2 [3,5,6,4,2,7,1]=>[5,3,2,4,6,1,7]=>[1,1,3,2]=>1110010=>3 [3,5,6,4,7,1,2]=>[5,3,2,4,1,7,6]=>[1,1,2,2,1]=>1110101=>4 [3,5,6,4,7,2,1]=>[5,3,2,4,1,6,7]=>[1,1,2,3]=>1110100=>3 [3,5,6,7,1,2,4]=>[5,3,2,1,7,6,4]=>[1,1,1,2,1,1]=>1111011=>2 [3,5,6,7,1,4,2]=>[5,3,2,1,7,4,6]=>[1,1,1,2,2]=>1111010=>3 [3,5,6,7,2,1,4]=>[5,3,2,1,6,7,4]=>[1,1,1,3,1]=>1111001=>2 [3,5,6,7,2,4,1]=>[5,3,2,1,6,4,7]=>[1,1,1,2,2]=>1111010=>3 [3,5,6,7,4,1,2]=>[5,3,2,1,4,7,6]=>[1,1,1,3,1]=>1111001=>2 [3,5,6,7,4,2,1]=>[5,3,2,1,4,6,7]=>[1,1,1,4]=>1111000=>1 [3,5,7,1,2,4,6]=>[5,3,1,7,6,4,2]=>[1,1,2,1,1,1]=>1110111=>2 [3,5,7,1,2,6,4]=>[5,3,1,7,6,2,4]=>[1,1,2,1,2]=>1110110=>3 [3,5,7,1,4,2,6]=>[5,3,1,7,4,6,2]=>[1,1,2,2,1]=>1110101=>4 [3,5,7,1,4,6,2]=>[5,3,1,7,4,2,6]=>[1,1,2,1,2]=>1110110=>3 [3,5,7,1,6,2,4]=>[5,3,1,7,2,6,4]=>[1,1,2,2,1]=>1110101=>4 [3,5,7,1,6,4,2]=>[5,3,1,7,2,4,6]=>[1,1,2,3]=>1110100=>3 [3,5,7,2,1,4,6]=>[5,3,1,6,7,4,2]=>[1,1,3,1,1]=>1110011=>2 [3,5,7,2,1,6,4]=>[5,3,1,6,7,2,4]=>[1,1,3,2]=>1110010=>3 [3,5,7,2,4,1,6]=>[5,3,1,6,4,7,2]=>[1,1,2,2,1]=>1110101=>4 [3,5,7,2,4,6,1]=>[5,3,1,6,4,2,7]=>[1,1,2,1,2]=>1110110=>3 [3,5,7,2,6,1,4]=>[5,3,1,6,2,7,4]=>[1,1,2,2,1]=>1110101=>4 [3,5,7,2,6,4,1]=>[5,3,1,6,2,4,7]=>[1,1,2,3]=>1110100=>3 [3,5,7,4,1,2,6]=>[5,3,1,4,7,6,2]=>[1,1,3,1,1]=>1110011=>2 [3,5,7,4,1,6,2]=>[5,3,1,4,7,2,6]=>[1,1,3,2]=>1110010=>3 [3,5,7,4,2,1,6]=>[5,3,1,4,6,7,2]=>[1,1,4,1]=>1110001=>2 [3,5,7,4,2,6,1]=>[5,3,1,4,6,2,7]=>[1,1,3,2]=>1110010=>3 [3,5,7,4,6,1,2]=>[5,3,1,4,2,7,6]=>[1,1,2,2,1]=>1110101=>4 [3,5,7,4,6,2,1]=>[5,3,1,4,2,6,7]=>[1,1,2,3]=>1110100=>3 [3,5,7,6,1,2,4]=>[5,3,1,2,7,6,4]=>[1,1,3,1,1]=>1110011=>2 [3,5,7,6,1,4,2]=>[5,3,1,2,7,4,6]=>[1,1,3,2]=>1110010=>3 [3,5,7,6,2,1,4]=>[5,3,1,2,6,7,4]=>[1,1,4,1]=>1110001=>2 [3,5,7,6,2,4,1]=>[5,3,1,2,6,4,7]=>[1,1,3,2]=>1110010=>3 [3,5,7,6,4,1,2]=>[5,3,1,2,4,7,6]=>[1,1,4,1]=>1110001=>2 [3,5,7,6,4,2,1]=>[5,3,1,2,4,6,7]=>[1,1,5]=>1110000=>1 [3,6,1,2,4,5,7]=>[5,2,7,6,4,3,1]=>[1,2,1,1,1,1]=>1101111=>2 [3,6,1,2,4,7,5]=>[5,2,7,6,4,1,3]=>[1,2,1,1,2]=>1101110=>3 [3,6,1,2,5,4,7]=>[5,2,7,6,3,4,1]=>[1,2,1,2,1]=>1101101=>4 [3,6,1,2,5,7,4]=>[5,2,7,6,3,1,4]=>[1,2,1,1,2]=>1101110=>3 [3,6,1,2,7,4,5]=>[5,2,7,6,1,4,3]=>[1,2,1,2,1]=>1101101=>4 [3,6,1,2,7,5,4]=>[5,2,7,6,1,3,4]=>[1,2,1,3]=>1101100=>3 [3,6,1,4,2,5,7]=>[5,2,7,4,6,3,1]=>[1,2,2,1,1]=>1101011=>4 [3,6,1,4,2,7,5]=>[5,2,7,4,6,1,3]=>[1,2,2,2]=>1101010=>5 [3,6,1,4,5,2,7]=>[5,2,7,4,3,6,1]=>[1,2,1,2,1]=>1101101=>4 [3,6,1,4,5,7,2]=>[5,2,7,4,3,1,6]=>[1,2,1,1,2]=>1101110=>3 [3,6,1,4,7,2,5]=>[5,2,7,4,1,6,3]=>[1,2,1,2,1]=>1101101=>4 [3,6,1,4,7,5,2]=>[5,2,7,4,1,3,6]=>[1,2,1,3]=>1101100=>3 [3,6,1,5,2,4,7]=>[5,2,7,3,6,4,1]=>[1,2,2,1,1]=>1101011=>4 [3,6,1,5,2,7,4]=>[5,2,7,3,6,1,4]=>[1,2,2,2]=>1101010=>5 [3,6,1,5,4,2,7]=>[5,2,7,3,4,6,1]=>[1,2,3,1]=>1101001=>4 [3,6,1,5,4,7,2]=>[5,2,7,3,4,1,6]=>[1,2,2,2]=>1101010=>5 [3,6,1,5,7,2,4]=>[5,2,7,3,1,6,4]=>[1,2,1,2,1]=>1101101=>4 [3,6,1,5,7,4,2]=>[5,2,7,3,1,4,6]=>[1,2,1,3]=>1101100=>3 [3,6,1,7,2,4,5]=>[5,2,7,1,6,4,3]=>[1,2,2,1,1]=>1101011=>4 [3,6,1,7,2,5,4]=>[5,2,7,1,6,3,4]=>[1,2,2,2]=>1101010=>5 [3,6,1,7,4,2,5]=>[5,2,7,1,4,6,3]=>[1,2,3,1]=>1101001=>4 [3,6,1,7,4,5,2]=>[5,2,7,1,4,3,6]=>[1,2,2,2]=>1101010=>5 [3,6,1,7,5,2,4]=>[5,2,7,1,3,6,4]=>[1,2,3,1]=>1101001=>4 [3,6,1,7,5,4,2]=>[5,2,7,1,3,4,6]=>[1,2,4]=>1101000=>3 [3,6,2,1,4,5,7]=>[5,2,6,7,4,3,1]=>[1,3,1,1,1]=>1100111=>2 [3,6,2,1,4,7,5]=>[5,2,6,7,4,1,3]=>[1,3,1,2]=>1100110=>3 [3,6,2,1,5,4,7]=>[5,2,6,7,3,4,1]=>[1,3,2,1]=>1100101=>4 [3,6,2,1,5,7,4]=>[5,2,6,7,3,1,4]=>[1,3,1,2]=>1100110=>3 [3,6,2,1,7,4,5]=>[5,2,6,7,1,4,3]=>[1,3,2,1]=>1100101=>4 [3,6,2,1,7,5,4]=>[5,2,6,7,1,3,4]=>[1,3,3]=>1100100=>3 [3,6,2,4,1,5,7]=>[5,2,6,4,7,3,1]=>[1,2,2,1,1]=>1101011=>4 [3,6,2,4,1,7,5]=>[5,2,6,4,7,1,3]=>[1,2,2,2]=>1101010=>5 [3,6,2,4,5,1,7]=>[5,2,6,4,3,7,1]=>[1,2,1,2,1]=>1101101=>4 [3,6,2,4,5,7,1]=>[5,2,6,4,3,1,7]=>[1,2,1,1,2]=>1101110=>3 [3,6,2,4,7,1,5]=>[5,2,6,4,1,7,3]=>[1,2,1,2,1]=>1101101=>4 [3,6,2,4,7,5,1]=>[5,2,6,4,1,3,7]=>[1,2,1,3]=>1101100=>3 [3,6,2,5,1,4,7]=>[5,2,6,3,7,4,1]=>[1,2,2,1,1]=>1101011=>4 [3,6,2,5,1,7,4]=>[5,2,6,3,7,1,4]=>[1,2,2,2]=>1101010=>5 [3,6,2,5,4,1,7]=>[5,2,6,3,4,7,1]=>[1,2,3,1]=>1101001=>4 [3,6,2,5,4,7,1]=>[5,2,6,3,4,1,7]=>[1,2,2,2]=>1101010=>5 [3,6,2,5,7,1,4]=>[5,2,6,3,1,7,4]=>[1,2,1,2,1]=>1101101=>4 [3,6,2,5,7,4,1]=>[5,2,6,3,1,4,7]=>[1,2,1,3]=>1101100=>3 [3,6,2,7,1,4,5]=>[5,2,6,1,7,4,3]=>[1,2,2,1,1]=>1101011=>4 [3,6,2,7,1,5,4]=>[5,2,6,1,7,3,4]=>[1,2,2,2]=>1101010=>5 [3,6,2,7,4,1,5]=>[5,2,6,1,4,7,3]=>[1,2,3,1]=>1101001=>4 [3,6,2,7,4,5,1]=>[5,2,6,1,4,3,7]=>[1,2,2,2]=>1101010=>5 [3,6,2,7,5,1,4]=>[5,2,6,1,3,7,4]=>[1,2,3,1]=>1101001=>4 [3,6,2,7,5,4,1]=>[5,2,6,1,3,4,7]=>[1,2,4]=>1101000=>3 [3,6,4,1,2,5,7]=>[5,2,4,7,6,3,1]=>[1,3,1,1,1]=>1100111=>2 [3,6,4,1,2,7,5]=>[5,2,4,7,6,1,3]=>[1,3,1,2]=>1100110=>3 [3,6,4,1,5,2,7]=>[5,2,4,7,3,6,1]=>[1,3,2,1]=>1100101=>4 [3,6,4,1,5,7,2]=>[5,2,4,7,3,1,6]=>[1,3,1,2]=>1100110=>3 [3,6,4,1,7,2,5]=>[5,2,4,7,1,6,3]=>[1,3,2,1]=>1100101=>4 [3,6,4,1,7,5,2]=>[5,2,4,7,1,3,6]=>[1,3,3]=>1100100=>3 [3,6,4,2,1,5,7]=>[5,2,4,6,7,3,1]=>[1,4,1,1]=>1100011=>2 [3,6,4,2,1,7,5]=>[5,2,4,6,7,1,3]=>[1,4,2]=>1100010=>3 [3,6,4,2,5,1,7]=>[5,2,4,6,3,7,1]=>[1,3,2,1]=>1100101=>4 [3,6,4,2,5,7,1]=>[5,2,4,6,3,1,7]=>[1,3,1,2]=>1100110=>3 [3,6,4,2,7,1,5]=>[5,2,4,6,1,7,3]=>[1,3,2,1]=>1100101=>4 [3,6,4,2,7,5,1]=>[5,2,4,6,1,3,7]=>[1,3,3]=>1100100=>3 [3,6,4,5,1,2,7]=>[5,2,4,3,7,6,1]=>[1,2,2,1,1]=>1101011=>4 [3,6,4,5,1,7,2]=>[5,2,4,3,7,1,6]=>[1,2,2,2]=>1101010=>5 [3,6,4,5,2,1,7]=>[5,2,4,3,6,7,1]=>[1,2,3,1]=>1101001=>4 [3,6,4,5,2,7,1]=>[5,2,4,3,6,1,7]=>[1,2,2,2]=>1101010=>5 [3,6,4,5,7,1,2]=>[5,2,4,3,1,7,6]=>[1,2,1,2,1]=>1101101=>4 [3,6,4,5,7,2,1]=>[5,2,4,3,1,6,7]=>[1,2,1,3]=>1101100=>3 [3,6,4,7,1,2,5]=>[5,2,4,1,7,6,3]=>[1,2,2,1,1]=>1101011=>4 [3,6,4,7,1,5,2]=>[5,2,4,1,7,3,6]=>[1,2,2,2]=>1101010=>5 [3,6,4,7,2,1,5]=>[5,2,4,1,6,7,3]=>[1,2,3,1]=>1101001=>4 [3,6,4,7,2,5,1]=>[5,2,4,1,6,3,7]=>[1,2,2,2]=>1101010=>5 [3,6,4,7,5,1,2]=>[5,2,4,1,3,7,6]=>[1,2,3,1]=>1101001=>4 [3,6,4,7,5,2,1]=>[5,2,4,1,3,6,7]=>[1,2,4]=>1101000=>3 [3,6,5,1,2,4,7]=>[5,2,3,7,6,4,1]=>[1,3,1,1,1]=>1100111=>2 [3,6,5,1,2,7,4]=>[5,2,3,7,6,1,4]=>[1,3,1,2]=>1100110=>3 [3,6,5,1,4,2,7]=>[5,2,3,7,4,6,1]=>[1,3,2,1]=>1100101=>4 [3,6,5,1,4,7,2]=>[5,2,3,7,4,1,6]=>[1,3,1,2]=>1100110=>3 [3,6,5,1,7,2,4]=>[5,2,3,7,1,6,4]=>[1,3,2,1]=>1100101=>4 [3,6,5,1,7,4,2]=>[5,2,3,7,1,4,6]=>[1,3,3]=>1100100=>3 [3,6,5,2,1,4,7]=>[5,2,3,6,7,4,1]=>[1,4,1,1]=>1100011=>2 [3,6,5,2,1,7,4]=>[5,2,3,6,7,1,4]=>[1,4,2]=>1100010=>3 [3,6,5,2,4,1,7]=>[5,2,3,6,4,7,1]=>[1,3,2,1]=>1100101=>4 [3,6,5,2,4,7,1]=>[5,2,3,6,4,1,7]=>[1,3,1,2]=>1100110=>3 [3,6,5,2,7,1,4]=>[5,2,3,6,1,7,4]=>[1,3,2,1]=>1100101=>4 [3,6,5,2,7,4,1]=>[5,2,3,6,1,4,7]=>[1,3,3]=>1100100=>3 [3,6,5,4,1,2,7]=>[5,2,3,4,7,6,1]=>[1,4,1,1]=>1100011=>2 [3,6,5,4,1,7,2]=>[5,2,3,4,7,1,6]=>[1,4,2]=>1100010=>3 [3,6,5,4,2,1,7]=>[5,2,3,4,6,7,1]=>[1,5,1]=>1100001=>2 [3,6,5,4,2,7,1]=>[5,2,3,4,6,1,7]=>[1,4,2]=>1100010=>3 [3,6,5,4,7,1,2]=>[5,2,3,4,1,7,6]=>[1,3,2,1]=>1100101=>4 [3,6,5,4,7,2,1]=>[5,2,3,4,1,6,7]=>[1,3,3]=>1100100=>3 [3,6,5,7,1,2,4]=>[5,2,3,1,7,6,4]=>[1,2,2,1,1]=>1101011=>4 [3,6,5,7,1,4,2]=>[5,2,3,1,7,4,6]=>[1,2,2,2]=>1101010=>5 [3,6,5,7,2,1,4]=>[5,2,3,1,6,7,4]=>[1,2,3,1]=>1101001=>4 [3,6,5,7,2,4,1]=>[5,2,3,1,6,4,7]=>[1,2,2,2]=>1101010=>5 [3,6,5,7,4,1,2]=>[5,2,3,1,4,7,6]=>[1,2,3,1]=>1101001=>4 [3,6,5,7,4,2,1]=>[5,2,3,1,4,6,7]=>[1,2,4]=>1101000=>3 [3,6,7,1,2,4,5]=>[5,2,1,7,6,4,3]=>[1,1,2,1,1,1]=>1110111=>2 [3,6,7,1,2,5,4]=>[5,2,1,7,6,3,4]=>[1,1,2,1,2]=>1110110=>3 [3,6,7,1,4,2,5]=>[5,2,1,7,4,6,3]=>[1,1,2,2,1]=>1110101=>4 [3,6,7,1,4,5,2]=>[5,2,1,7,4,3,6]=>[1,1,2,1,2]=>1110110=>3 [3,6,7,1,5,2,4]=>[5,2,1,7,3,6,4]=>[1,1,2,2,1]=>1110101=>4 [3,6,7,1,5,4,2]=>[5,2,1,7,3,4,6]=>[1,1,2,3]=>1110100=>3 [3,6,7,2,1,4,5]=>[5,2,1,6,7,4,3]=>[1,1,3,1,1]=>1110011=>2 [3,6,7,2,1,5,4]=>[5,2,1,6,7,3,4]=>[1,1,3,2]=>1110010=>3 [3,6,7,2,4,1,5]=>[5,2,1,6,4,7,3]=>[1,1,2,2,1]=>1110101=>4 [3,6,7,2,4,5,1]=>[5,2,1,6,4,3,7]=>[1,1,2,1,2]=>1110110=>3 [3,6,7,2,5,1,4]=>[5,2,1,6,3,7,4]=>[1,1,2,2,1]=>1110101=>4 [3,6,7,2,5,4,1]=>[5,2,1,6,3,4,7]=>[1,1,2,3]=>1110100=>3 [3,6,7,4,1,2,5]=>[5,2,1,4,7,6,3]=>[1,1,3,1,1]=>1110011=>2 [3,6,7,4,1,5,2]=>[5,2,1,4,7,3,6]=>[1,1,3,2]=>1110010=>3 [3,6,7,4,2,1,5]=>[5,2,1,4,6,7,3]=>[1,1,4,1]=>1110001=>2 [3,6,7,4,2,5,1]=>[5,2,1,4,6,3,7]=>[1,1,3,2]=>1110010=>3 [3,6,7,4,5,1,2]=>[5,2,1,4,3,7,6]=>[1,1,2,2,1]=>1110101=>4 [3,6,7,4,5,2,1]=>[5,2,1,4,3,6,7]=>[1,1,2,3]=>1110100=>3 [3,6,7,5,1,2,4]=>[5,2,1,3,7,6,4]=>[1,1,3,1,1]=>1110011=>2 [3,6,7,5,1,4,2]=>[5,2,1,3,7,4,6]=>[1,1,3,2]=>1110010=>3 [3,6,7,5,2,1,4]=>[5,2,1,3,6,7,4]=>[1,1,4,1]=>1110001=>2 [3,6,7,5,2,4,1]=>[5,2,1,3,6,4,7]=>[1,1,3,2]=>1110010=>3 [3,6,7,5,4,1,2]=>[5,2,1,3,4,7,6]=>[1,1,4,1]=>1110001=>2 [3,6,7,5,4,2,1]=>[5,2,1,3,4,6,7]=>[1,1,5]=>1110000=>1 [3,7,1,2,4,5,6]=>[5,1,7,6,4,3,2]=>[1,2,1,1,1,1]=>1101111=>2 [3,7,1,2,4,6,5]=>[5,1,7,6,4,2,3]=>[1,2,1,1,2]=>1101110=>3 [3,7,1,2,5,4,6]=>[5,1,7,6,3,4,2]=>[1,2,1,2,1]=>1101101=>4 [3,7,1,2,5,6,4]=>[5,1,7,6,3,2,4]=>[1,2,1,1,2]=>1101110=>3 [3,7,1,2,6,4,5]=>[5,1,7,6,2,4,3]=>[1,2,1,2,1]=>1101101=>4 [3,7,1,2,6,5,4]=>[5,1,7,6,2,3,4]=>[1,2,1,3]=>1101100=>3 [3,7,1,4,2,5,6]=>[5,1,7,4,6,3,2]=>[1,2,2,1,1]=>1101011=>4 [3,7,1,4,2,6,5]=>[5,1,7,4,6,2,3]=>[1,2,2,2]=>1101010=>5 [3,7,1,4,5,2,6]=>[5,1,7,4,3,6,2]=>[1,2,1,2,1]=>1101101=>4 [3,7,1,4,5,6,2]=>[5,1,7,4,3,2,6]=>[1,2,1,1,2]=>1101110=>3 [3,7,1,4,6,2,5]=>[5,1,7,4,2,6,3]=>[1,2,1,2,1]=>1101101=>4 [3,7,1,4,6,5,2]=>[5,1,7,4,2,3,6]=>[1,2,1,3]=>1101100=>3 [3,7,1,5,2,4,6]=>[5,1,7,3,6,4,2]=>[1,2,2,1,1]=>1101011=>4 [3,7,1,5,2,6,4]=>[5,1,7,3,6,2,4]=>[1,2,2,2]=>1101010=>5 [3,7,1,5,4,2,6]=>[5,1,7,3,4,6,2]=>[1,2,3,1]=>1101001=>4 [3,7,1,5,4,6,2]=>[5,1,7,3,4,2,6]=>[1,2,2,2]=>1101010=>5 [3,7,1,5,6,2,4]=>[5,1,7,3,2,6,4]=>[1,2,1,2,1]=>1101101=>4 [3,7,1,5,6,4,2]=>[5,1,7,3,2,4,6]=>[1,2,1,3]=>1101100=>3 [3,7,1,6,2,4,5]=>[5,1,7,2,6,4,3]=>[1,2,2,1,1]=>1101011=>4 [3,7,1,6,2,5,4]=>[5,1,7,2,6,3,4]=>[1,2,2,2]=>1101010=>5 [3,7,1,6,4,2,5]=>[5,1,7,2,4,6,3]=>[1,2,3,1]=>1101001=>4 [3,7,1,6,4,5,2]=>[5,1,7,2,4,3,6]=>[1,2,2,2]=>1101010=>5 [3,7,1,6,5,2,4]=>[5,1,7,2,3,6,4]=>[1,2,3,1]=>1101001=>4 [3,7,1,6,5,4,2]=>[5,1,7,2,3,4,6]=>[1,2,4]=>1101000=>3 [3,7,2,1,4,5,6]=>[5,1,6,7,4,3,2]=>[1,3,1,1,1]=>1100111=>2 [3,7,2,1,4,6,5]=>[5,1,6,7,4,2,3]=>[1,3,1,2]=>1100110=>3 [3,7,2,1,5,4,6]=>[5,1,6,7,3,4,2]=>[1,3,2,1]=>1100101=>4 [3,7,2,1,5,6,4]=>[5,1,6,7,3,2,4]=>[1,3,1,2]=>1100110=>3 [3,7,2,1,6,4,5]=>[5,1,6,7,2,4,3]=>[1,3,2,1]=>1100101=>4 [3,7,2,1,6,5,4]=>[5,1,6,7,2,3,4]=>[1,3,3]=>1100100=>3 [3,7,2,4,1,5,6]=>[5,1,6,4,7,3,2]=>[1,2,2,1,1]=>1101011=>4 [3,7,2,4,1,6,5]=>[5,1,6,4,7,2,3]=>[1,2,2,2]=>1101010=>5 [3,7,2,4,5,1,6]=>[5,1,6,4,3,7,2]=>[1,2,1,2,1]=>1101101=>4 [3,7,2,4,5,6,1]=>[5,1,6,4,3,2,7]=>[1,2,1,1,2]=>1101110=>3 [3,7,2,4,6,1,5]=>[5,1,6,4,2,7,3]=>[1,2,1,2,1]=>1101101=>4 [3,7,2,4,6,5,1]=>[5,1,6,4,2,3,7]=>[1,2,1,3]=>1101100=>3 [3,7,2,5,1,4,6]=>[5,1,6,3,7,4,2]=>[1,2,2,1,1]=>1101011=>4 [3,7,2,5,1,6,4]=>[5,1,6,3,7,2,4]=>[1,2,2,2]=>1101010=>5 [3,7,2,5,4,1,6]=>[5,1,6,3,4,7,2]=>[1,2,3,1]=>1101001=>4 [3,7,2,5,4,6,1]=>[5,1,6,3,4,2,7]=>[1,2,2,2]=>1101010=>5 [3,7,2,5,6,1,4]=>[5,1,6,3,2,7,4]=>[1,2,1,2,1]=>1101101=>4 [3,7,2,5,6,4,1]=>[5,1,6,3,2,4,7]=>[1,2,1,3]=>1101100=>3 [3,7,2,6,1,4,5]=>[5,1,6,2,7,4,3]=>[1,2,2,1,1]=>1101011=>4 [3,7,2,6,1,5,4]=>[5,1,6,2,7,3,4]=>[1,2,2,2]=>1101010=>5 [3,7,2,6,4,1,5]=>[5,1,6,2,4,7,3]=>[1,2,3,1]=>1101001=>4 [3,7,2,6,4,5,1]=>[5,1,6,2,4,3,7]=>[1,2,2,2]=>1101010=>5 [3,7,2,6,5,1,4]=>[5,1,6,2,3,7,4]=>[1,2,3,1]=>1101001=>4 [3,7,2,6,5,4,1]=>[5,1,6,2,3,4,7]=>[1,2,4]=>1101000=>3 [3,7,4,1,2,5,6]=>[5,1,4,7,6,3,2]=>[1,3,1,1,1]=>1100111=>2 [3,7,4,1,2,6,5]=>[5,1,4,7,6,2,3]=>[1,3,1,2]=>1100110=>3 [3,7,4,1,5,2,6]=>[5,1,4,7,3,6,2]=>[1,3,2,1]=>1100101=>4 [3,7,4,1,5,6,2]=>[5,1,4,7,3,2,6]=>[1,3,1,2]=>1100110=>3 [3,7,4,1,6,2,5]=>[5,1,4,7,2,6,3]=>[1,3,2,1]=>1100101=>4 [3,7,4,1,6,5,2]=>[5,1,4,7,2,3,6]=>[1,3,3]=>1100100=>3 [3,7,4,2,1,5,6]=>[5,1,4,6,7,3,2]=>[1,4,1,1]=>1100011=>2 [3,7,4,2,1,6,5]=>[5,1,4,6,7,2,3]=>[1,4,2]=>1100010=>3 [3,7,4,2,5,1,6]=>[5,1,4,6,3,7,2]=>[1,3,2,1]=>1100101=>4 [3,7,4,2,5,6,1]=>[5,1,4,6,3,2,7]=>[1,3,1,2]=>1100110=>3 [3,7,4,2,6,1,5]=>[5,1,4,6,2,7,3]=>[1,3,2,1]=>1100101=>4 [3,7,4,2,6,5,1]=>[5,1,4,6,2,3,7]=>[1,3,3]=>1100100=>3 [3,7,4,5,1,2,6]=>[5,1,4,3,7,6,2]=>[1,2,2,1,1]=>1101011=>4 [3,7,4,5,1,6,2]=>[5,1,4,3,7,2,6]=>[1,2,2,2]=>1101010=>5 [3,7,4,5,2,1,6]=>[5,1,4,3,6,7,2]=>[1,2,3,1]=>1101001=>4 [3,7,4,5,2,6,1]=>[5,1,4,3,6,2,7]=>[1,2,2,2]=>1101010=>5 [3,7,4,5,6,1,2]=>[5,1,4,3,2,7,6]=>[1,2,1,2,1]=>1101101=>4 [3,7,4,5,6,2,1]=>[5,1,4,3,2,6,7]=>[1,2,1,3]=>1101100=>3 [3,7,4,6,1,2,5]=>[5,1,4,2,7,6,3]=>[1,2,2,1,1]=>1101011=>4 [3,7,4,6,1,5,2]=>[5,1,4,2,7,3,6]=>[1,2,2,2]=>1101010=>5 [3,7,4,6,2,1,5]=>[5,1,4,2,6,7,3]=>[1,2,3,1]=>1101001=>4 [3,7,4,6,2,5,1]=>[5,1,4,2,6,3,7]=>[1,2,2,2]=>1101010=>5 [3,7,4,6,5,1,2]=>[5,1,4,2,3,7,6]=>[1,2,3,1]=>1101001=>4 [3,7,4,6,5,2,1]=>[5,1,4,2,3,6,7]=>[1,2,4]=>1101000=>3 [3,7,5,1,2,4,6]=>[5,1,3,7,6,4,2]=>[1,3,1,1,1]=>1100111=>2 [3,7,5,1,2,6,4]=>[5,1,3,7,6,2,4]=>[1,3,1,2]=>1100110=>3 [3,7,5,1,4,2,6]=>[5,1,3,7,4,6,2]=>[1,3,2,1]=>1100101=>4 [3,7,5,1,4,6,2]=>[5,1,3,7,4,2,6]=>[1,3,1,2]=>1100110=>3 [3,7,5,1,6,2,4]=>[5,1,3,7,2,6,4]=>[1,3,2,1]=>1100101=>4 [3,7,5,1,6,4,2]=>[5,1,3,7,2,4,6]=>[1,3,3]=>1100100=>3 [3,7,5,2,1,4,6]=>[5,1,3,6,7,4,2]=>[1,4,1,1]=>1100011=>2 [3,7,5,2,1,6,4]=>[5,1,3,6,7,2,4]=>[1,4,2]=>1100010=>3 [3,7,5,2,4,1,6]=>[5,1,3,6,4,7,2]=>[1,3,2,1]=>1100101=>4 [3,7,5,2,4,6,1]=>[5,1,3,6,4,2,7]=>[1,3,1,2]=>1100110=>3 [3,7,5,2,6,1,4]=>[5,1,3,6,2,7,4]=>[1,3,2,1]=>1100101=>4 [3,7,5,2,6,4,1]=>[5,1,3,6,2,4,7]=>[1,3,3]=>1100100=>3 [3,7,5,4,1,2,6]=>[5,1,3,4,7,6,2]=>[1,4,1,1]=>1100011=>2 [3,7,5,4,1,6,2]=>[5,1,3,4,7,2,6]=>[1,4,2]=>1100010=>3 [3,7,5,4,2,1,6]=>[5,1,3,4,6,7,2]=>[1,5,1]=>1100001=>2 [3,7,5,4,2,6,1]=>[5,1,3,4,6,2,7]=>[1,4,2]=>1100010=>3 [3,7,5,4,6,1,2]=>[5,1,3,4,2,7,6]=>[1,3,2,1]=>1100101=>4 [3,7,5,4,6,2,1]=>[5,1,3,4,2,6,7]=>[1,3,3]=>1100100=>3 [3,7,5,6,1,2,4]=>[5,1,3,2,7,6,4]=>[1,2,2,1,1]=>1101011=>4 [3,7,5,6,1,4,2]=>[5,1,3,2,7,4,6]=>[1,2,2,2]=>1101010=>5 [3,7,5,6,2,1,4]=>[5,1,3,2,6,7,4]=>[1,2,3,1]=>1101001=>4 [3,7,5,6,2,4,1]=>[5,1,3,2,6,4,7]=>[1,2,2,2]=>1101010=>5 [3,7,5,6,4,1,2]=>[5,1,3,2,4,7,6]=>[1,2,3,1]=>1101001=>4 [3,7,5,6,4,2,1]=>[5,1,3,2,4,6,7]=>[1,2,4]=>1101000=>3 [3,7,6,1,2,4,5]=>[5,1,2,7,6,4,3]=>[1,3,1,1,1]=>1100111=>2 [3,7,6,1,2,5,4]=>[5,1,2,7,6,3,4]=>[1,3,1,2]=>1100110=>3 [3,7,6,1,4,2,5]=>[5,1,2,7,4,6,3]=>[1,3,2,1]=>1100101=>4 [3,7,6,1,4,5,2]=>[5,1,2,7,4,3,6]=>[1,3,1,2]=>1100110=>3 [3,7,6,1,5,2,4]=>[5,1,2,7,3,6,4]=>[1,3,2,1]=>1100101=>4 [3,7,6,1,5,4,2]=>[5,1,2,7,3,4,6]=>[1,3,3]=>1100100=>3 [3,7,6,2,1,4,5]=>[5,1,2,6,7,4,3]=>[1,4,1,1]=>1100011=>2 [3,7,6,2,1,5,4]=>[5,1,2,6,7,3,4]=>[1,4,2]=>1100010=>3 [3,7,6,2,4,1,5]=>[5,1,2,6,4,7,3]=>[1,3,2,1]=>1100101=>4 [3,7,6,2,4,5,1]=>[5,1,2,6,4,3,7]=>[1,3,1,2]=>1100110=>3 [3,7,6,2,5,1,4]=>[5,1,2,6,3,7,4]=>[1,3,2,1]=>1100101=>4 [3,7,6,2,5,4,1]=>[5,1,2,6,3,4,7]=>[1,3,3]=>1100100=>3 [3,7,6,4,1,2,5]=>[5,1,2,4,7,6,3]=>[1,4,1,1]=>1100011=>2 [3,7,6,4,1,5,2]=>[5,1,2,4,7,3,6]=>[1,4,2]=>1100010=>3 [3,7,6,4,2,1,5]=>[5,1,2,4,6,7,3]=>[1,5,1]=>1100001=>2 [3,7,6,4,2,5,1]=>[5,1,2,4,6,3,7]=>[1,4,2]=>1100010=>3 [3,7,6,4,5,1,2]=>[5,1,2,4,3,7,6]=>[1,3,2,1]=>1100101=>4 [3,7,6,4,5,2,1]=>[5,1,2,4,3,6,7]=>[1,3,3]=>1100100=>3 [3,7,6,5,1,2,4]=>[5,1,2,3,7,6,4]=>[1,4,1,1]=>1100011=>2 [3,7,6,5,1,4,2]=>[5,1,2,3,7,4,6]=>[1,4,2]=>1100010=>3 [3,7,6,5,2,1,4]=>[5,1,2,3,6,7,4]=>[1,5,1]=>1100001=>2 [3,7,6,5,2,4,1]=>[5,1,2,3,6,4,7]=>[1,4,2]=>1100010=>3 [3,7,6,5,4,1,2]=>[5,1,2,3,4,7,6]=>[1,5,1]=>1100001=>2 [3,7,6,5,4,2,1]=>[5,1,2,3,4,6,7]=>[1,6]=>1100000=>1 [4,1,2,3,5,6,7]=>[4,7,6,5,3,2,1]=>[2,1,1,1,1,1]=>1011111=>2 [4,1,2,3,5,7,6]=>[4,7,6,5,3,1,2]=>[2,1,1,1,2]=>1011110=>3 [4,1,2,3,6,5,7]=>[4,7,6,5,2,3,1]=>[2,1,1,2,1]=>1011101=>4 [4,1,2,3,6,7,5]=>[4,7,6,5,2,1,3]=>[2,1,1,1,2]=>1011110=>3 [4,1,2,3,7,5,6]=>[4,7,6,5,1,3,2]=>[2,1,1,2,1]=>1011101=>4 [4,1,2,3,7,6,5]=>[4,7,6,5,1,2,3]=>[2,1,1,3]=>1011100=>3 [4,1,2,5,3,6,7]=>[4,7,6,3,5,2,1]=>[2,1,2,1,1]=>1011011=>4 [4,1,2,5,3,7,6]=>[4,7,6,3,5,1,2]=>[2,1,2,2]=>1011010=>5 [4,1,2,5,6,3,7]=>[4,7,6,3,2,5,1]=>[2,1,1,2,1]=>1011101=>4 [4,1,2,5,6,7,3]=>[4,7,6,3,2,1,5]=>[2,1,1,1,2]=>1011110=>3 [4,1,2,5,7,3,6]=>[4,7,6,3,1,5,2]=>[2,1,1,2,1]=>1011101=>4 [4,1,2,5,7,6,3]=>[4,7,6,3,1,2,5]=>[2,1,1,3]=>1011100=>3 [4,1,2,6,3,5,7]=>[4,7,6,2,5,3,1]=>[2,1,2,1,1]=>1011011=>4 [4,1,2,6,3,7,5]=>[4,7,6,2,5,1,3]=>[2,1,2,2]=>1011010=>5 [4,1,2,6,5,3,7]=>[4,7,6,2,3,5,1]=>[2,1,3,1]=>1011001=>4 [4,1,2,6,5,7,3]=>[4,7,6,2,3,1,5]=>[2,1,2,2]=>1011010=>5 [4,1,2,6,7,3,5]=>[4,7,6,2,1,5,3]=>[2,1,1,2,1]=>1011101=>4 [4,1,2,6,7,5,3]=>[4,7,6,2,1,3,5]=>[2,1,1,3]=>1011100=>3 [4,1,2,7,3,5,6]=>[4,7,6,1,5,3,2]=>[2,1,2,1,1]=>1011011=>4 [4,1,2,7,3,6,5]=>[4,7,6,1,5,2,3]=>[2,1,2,2]=>1011010=>5 [4,1,2,7,5,3,6]=>[4,7,6,1,3,5,2]=>[2,1,3,1]=>1011001=>4 [4,1,2,7,5,6,3]=>[4,7,6,1,3,2,5]=>[2,1,2,2]=>1011010=>5 [4,1,2,7,6,3,5]=>[4,7,6,1,2,5,3]=>[2,1,3,1]=>1011001=>4 [4,1,2,7,6,5,3]=>[4,7,6,1,2,3,5]=>[2,1,4]=>1011000=>3 [4,1,3,2,5,6,7]=>[4,7,5,6,3,2,1]=>[2,2,1,1,1]=>1010111=>4 [4,1,3,2,5,7,6]=>[4,7,5,6,3,1,2]=>[2,2,1,2]=>1010110=>5 [4,1,3,2,6,5,7]=>[4,7,5,6,2,3,1]=>[2,2,2,1]=>1010101=>6 [4,1,3,2,6,7,5]=>[4,7,5,6,2,1,3]=>[2,2,1,2]=>1010110=>5 [4,1,3,2,7,5,6]=>[4,7,5,6,1,3,2]=>[2,2,2,1]=>1010101=>6 [4,1,3,2,7,6,5]=>[4,7,5,6,1,2,3]=>[2,2,3]=>1010100=>5 [4,1,3,5,2,6,7]=>[4,7,5,3,6,2,1]=>[2,1,2,1,1]=>1011011=>4 [4,1,3,5,2,7,6]=>[4,7,5,3,6,1,2]=>[2,1,2,2]=>1011010=>5 [4,1,3,5,6,2,7]=>[4,7,5,3,2,6,1]=>[2,1,1,2,1]=>1011101=>4 [4,1,3,5,6,7,2]=>[4,7,5,3,2,1,6]=>[2,1,1,1,2]=>1011110=>3 [4,1,3,5,7,2,6]=>[4,7,5,3,1,6,2]=>[2,1,1,2,1]=>1011101=>4 [4,1,3,5,7,6,2]=>[4,7,5,3,1,2,6]=>[2,1,1,3]=>1011100=>3 [4,1,3,6,2,5,7]=>[4,7,5,2,6,3,1]=>[2,1,2,1,1]=>1011011=>4 [4,1,3,6,2,7,5]=>[4,7,5,2,6,1,3]=>[2,1,2,2]=>1011010=>5 [4,1,3,6,5,2,7]=>[4,7,5,2,3,6,1]=>[2,1,3,1]=>1011001=>4 [4,1,3,6,5,7,2]=>[4,7,5,2,3,1,6]=>[2,1,2,2]=>1011010=>5 [4,1,3,6,7,2,5]=>[4,7,5,2,1,6,3]=>[2,1,1,2,1]=>1011101=>4 [4,1,3,6,7,5,2]=>[4,7,5,2,1,3,6]=>[2,1,1,3]=>1011100=>3 [4,1,3,7,2,5,6]=>[4,7,5,1,6,3,2]=>[2,1,2,1,1]=>1011011=>4 [4,1,3,7,2,6,5]=>[4,7,5,1,6,2,3]=>[2,1,2,2]=>1011010=>5 [4,1,3,7,5,2,6]=>[4,7,5,1,3,6,2]=>[2,1,3,1]=>1011001=>4 [4,1,3,7,5,6,2]=>[4,7,5,1,3,2,6]=>[2,1,2,2]=>1011010=>5 [4,1,3,7,6,2,5]=>[4,7,5,1,2,6,3]=>[2,1,3,1]=>1011001=>4 [4,1,3,7,6,5,2]=>[4,7,5,1,2,3,6]=>[2,1,4]=>1011000=>3 [4,1,5,2,3,6,7]=>[4,7,3,6,5,2,1]=>[2,2,1,1,1]=>1010111=>4 [4,1,5,2,3,7,6]=>[4,7,3,6,5,1,2]=>[2,2,1,2]=>1010110=>5 [4,1,5,2,6,3,7]=>[4,7,3,6,2,5,1]=>[2,2,2,1]=>1010101=>6 [4,1,5,2,6,7,3]=>[4,7,3,6,2,1,5]=>[2,2,1,2]=>1010110=>5 [4,1,5,2,7,3,6]=>[4,7,3,6,1,5,2]=>[2,2,2,1]=>1010101=>6 [4,1,5,2,7,6,3]=>[4,7,3,6,1,2,5]=>[2,2,3]=>1010100=>5 [4,1,5,3,2,6,7]=>[4,7,3,5,6,2,1]=>[2,3,1,1]=>1010011=>4 [4,1,5,3,2,7,6]=>[4,7,3,5,6,1,2]=>[2,3,2]=>1010010=>5 [4,1,5,3,6,2,7]=>[4,7,3,5,2,6,1]=>[2,2,2,1]=>1010101=>6 [4,1,5,3,6,7,2]=>[4,7,3,5,2,1,6]=>[2,2,1,2]=>1010110=>5 [4,1,5,3,7,2,6]=>[4,7,3,5,1,6,2]=>[2,2,2,1]=>1010101=>6 [4,1,5,3,7,6,2]=>[4,7,3,5,1,2,6]=>[2,2,3]=>1010100=>5 [4,1,5,6,2,3,7]=>[4,7,3,2,6,5,1]=>[2,1,2,1,1]=>1011011=>4 [4,1,5,6,2,7,3]=>[4,7,3,2,6,1,5]=>[2,1,2,2]=>1011010=>5 [4,1,5,6,3,2,7]=>[4,7,3,2,5,6,1]=>[2,1,3,1]=>1011001=>4 [4,1,5,6,3,7,2]=>[4,7,3,2,5,1,6]=>[2,1,2,2]=>1011010=>5 [4,1,5,6,7,2,3]=>[4,7,3,2,1,6,5]=>[2,1,1,2,1]=>1011101=>4 [4,1,5,6,7,3,2]=>[4,7,3,2,1,5,6]=>[2,1,1,3]=>1011100=>3 [4,1,5,7,2,3,6]=>[4,7,3,1,6,5,2]=>[2,1,2,1,1]=>1011011=>4 [4,1,5,7,2,6,3]=>[4,7,3,1,6,2,5]=>[2,1,2,2]=>1011010=>5 [4,1,5,7,3,2,6]=>[4,7,3,1,5,6,2]=>[2,1,3,1]=>1011001=>4 [4,1,5,7,3,6,2]=>[4,7,3,1,5,2,6]=>[2,1,2,2]=>1011010=>5 [4,1,5,7,6,2,3]=>[4,7,3,1,2,6,5]=>[2,1,3,1]=>1011001=>4 [4,1,5,7,6,3,2]=>[4,7,3,1,2,5,6]=>[2,1,4]=>1011000=>3 [4,1,6,2,3,5,7]=>[4,7,2,6,5,3,1]=>[2,2,1,1,1]=>1010111=>4 [4,1,6,2,3,7,5]=>[4,7,2,6,5,1,3]=>[2,2,1,2]=>1010110=>5 [4,1,6,2,5,3,7]=>[4,7,2,6,3,5,1]=>[2,2,2,1]=>1010101=>6 [4,1,6,2,5,7,3]=>[4,7,2,6,3,1,5]=>[2,2,1,2]=>1010110=>5 [4,1,6,2,7,3,5]=>[4,7,2,6,1,5,3]=>[2,2,2,1]=>1010101=>6 [4,1,6,2,7,5,3]=>[4,7,2,6,1,3,5]=>[2,2,3]=>1010100=>5 [4,1,6,3,2,5,7]=>[4,7,2,5,6,3,1]=>[2,3,1,1]=>1010011=>4 [4,1,6,3,2,7,5]=>[4,7,2,5,6,1,3]=>[2,3,2]=>1010010=>5 [4,1,6,3,5,2,7]=>[4,7,2,5,3,6,1]=>[2,2,2,1]=>1010101=>6 [4,1,6,3,5,7,2]=>[4,7,2,5,3,1,6]=>[2,2,1,2]=>1010110=>5 [4,1,6,3,7,2,5]=>[4,7,2,5,1,6,3]=>[2,2,2,1]=>1010101=>6 [4,1,6,3,7,5,2]=>[4,7,2,5,1,3,6]=>[2,2,3]=>1010100=>5 [4,1,6,5,2,3,7]=>[4,7,2,3,6,5,1]=>[2,3,1,1]=>1010011=>4 [4,1,6,5,2,7,3]=>[4,7,2,3,6,1,5]=>[2,3,2]=>1010010=>5 [4,1,6,5,3,2,7]=>[4,7,2,3,5,6,1]=>[2,4,1]=>1010001=>4 [4,1,6,5,3,7,2]=>[4,7,2,3,5,1,6]=>[2,3,2]=>1010010=>5 [4,1,6,5,7,2,3]=>[4,7,2,3,1,6,5]=>[2,2,2,1]=>1010101=>6 [4,1,6,5,7,3,2]=>[4,7,2,3,1,5,6]=>[2,2,3]=>1010100=>5 [4,1,6,7,2,3,5]=>[4,7,2,1,6,5,3]=>[2,1,2,1,1]=>1011011=>4 [4,1,6,7,2,5,3]=>[4,7,2,1,6,3,5]=>[2,1,2,2]=>1011010=>5 [4,1,6,7,3,2,5]=>[4,7,2,1,5,6,3]=>[2,1,3,1]=>1011001=>4 [4,1,6,7,3,5,2]=>[4,7,2,1,5,3,6]=>[2,1,2,2]=>1011010=>5 [4,1,6,7,5,2,3]=>[4,7,2,1,3,6,5]=>[2,1,3,1]=>1011001=>4 [4,1,6,7,5,3,2]=>[4,7,2,1,3,5,6]=>[2,1,4]=>1011000=>3 [4,1,7,2,3,5,6]=>[4,7,1,6,5,3,2]=>[2,2,1,1,1]=>1010111=>4 [4,1,7,2,3,6,5]=>[4,7,1,6,5,2,3]=>[2,2,1,2]=>1010110=>5 [4,1,7,2,5,3,6]=>[4,7,1,6,3,5,2]=>[2,2,2,1]=>1010101=>6 [4,1,7,2,5,6,3]=>[4,7,1,6,3,2,5]=>[2,2,1,2]=>1010110=>5 [4,1,7,2,6,3,5]=>[4,7,1,6,2,5,3]=>[2,2,2,1]=>1010101=>6 [4,1,7,2,6,5,3]=>[4,7,1,6,2,3,5]=>[2,2,3]=>1010100=>5 [4,1,7,3,2,5,6]=>[4,7,1,5,6,3,2]=>[2,3,1,1]=>1010011=>4 [4,1,7,3,2,6,5]=>[4,7,1,5,6,2,3]=>[2,3,2]=>1010010=>5 [4,1,7,3,5,2,6]=>[4,7,1,5,3,6,2]=>[2,2,2,1]=>1010101=>6 [4,1,7,3,5,6,2]=>[4,7,1,5,3,2,6]=>[2,2,1,2]=>1010110=>5 [4,1,7,3,6,2,5]=>[4,7,1,5,2,6,3]=>[2,2,2,1]=>1010101=>6 [4,1,7,3,6,5,2]=>[4,7,1,5,2,3,6]=>[2,2,3]=>1010100=>5 [4,1,7,5,2,3,6]=>[4,7,1,3,6,5,2]=>[2,3,1,1]=>1010011=>4 [4,1,7,5,2,6,3]=>[4,7,1,3,6,2,5]=>[2,3,2]=>1010010=>5 [4,1,7,5,3,2,6]=>[4,7,1,3,5,6,2]=>[2,4,1]=>1010001=>4 [4,1,7,5,3,6,2]=>[4,7,1,3,5,2,6]=>[2,3,2]=>1010010=>5 [4,1,7,5,6,2,3]=>[4,7,1,3,2,6,5]=>[2,2,2,1]=>1010101=>6 [4,1,7,5,6,3,2]=>[4,7,1,3,2,5,6]=>[2,2,3]=>1010100=>5 [4,1,7,6,2,3,5]=>[4,7,1,2,6,5,3]=>[2,3,1,1]=>1010011=>4 [4,1,7,6,2,5,3]=>[4,7,1,2,6,3,5]=>[2,3,2]=>1010010=>5 [4,1,7,6,3,2,5]=>[4,7,1,2,5,6,3]=>[2,4,1]=>1010001=>4 [4,1,7,6,3,5,2]=>[4,7,1,2,5,3,6]=>[2,3,2]=>1010010=>5 [4,1,7,6,5,2,3]=>[4,7,1,2,3,6,5]=>[2,4,1]=>1010001=>4 [4,1,7,6,5,3,2]=>[4,7,1,2,3,5,6]=>[2,5]=>1010000=>3 [4,2,1,3,5,6,7]=>[4,6,7,5,3,2,1]=>[3,1,1,1,1]=>1001111=>2 [4,2,1,3,5,7,6]=>[4,6,7,5,3,1,2]=>[3,1,1,2]=>1001110=>3 [4,2,1,3,6,5,7]=>[4,6,7,5,2,3,1]=>[3,1,2,1]=>1001101=>4 [4,2,1,3,6,7,5]=>[4,6,7,5,2,1,3]=>[3,1,1,2]=>1001110=>3 [4,2,1,3,7,5,6]=>[4,6,7,5,1,3,2]=>[3,1,2,1]=>1001101=>4 [4,2,1,3,7,6,5]=>[4,6,7,5,1,2,3]=>[3,1,3]=>1001100=>3 [4,2,1,5,3,6,7]=>[4,6,7,3,5,2,1]=>[3,2,1,1]=>1001011=>4 [4,2,1,5,3,7,6]=>[4,6,7,3,5,1,2]=>[3,2,2]=>1001010=>5 [4,2,1,5,6,3,7]=>[4,6,7,3,2,5,1]=>[3,1,2,1]=>1001101=>4 [4,2,1,5,6,7,3]=>[4,6,7,3,2,1,5]=>[3,1,1,2]=>1001110=>3 [4,2,1,5,7,3,6]=>[4,6,7,3,1,5,2]=>[3,1,2,1]=>1001101=>4 [4,2,1,5,7,6,3]=>[4,6,7,3,1,2,5]=>[3,1,3]=>1001100=>3 [4,2,1,6,3,5,7]=>[4,6,7,2,5,3,1]=>[3,2,1,1]=>1001011=>4 [4,2,1,6,3,7,5]=>[4,6,7,2,5,1,3]=>[3,2,2]=>1001010=>5 [4,2,1,6,5,3,7]=>[4,6,7,2,3,5,1]=>[3,3,1]=>1001001=>4 [4,2,1,6,5,7,3]=>[4,6,7,2,3,1,5]=>[3,2,2]=>1001010=>5 [4,2,1,6,7,3,5]=>[4,6,7,2,1,5,3]=>[3,1,2,1]=>1001101=>4 [4,2,1,6,7,5,3]=>[4,6,7,2,1,3,5]=>[3,1,3]=>1001100=>3 [4,2,1,7,3,5,6]=>[4,6,7,1,5,3,2]=>[3,2,1,1]=>1001011=>4 [4,2,1,7,3,6,5]=>[4,6,7,1,5,2,3]=>[3,2,2]=>1001010=>5 [4,2,1,7,5,3,6]=>[4,6,7,1,3,5,2]=>[3,3,1]=>1001001=>4 [4,2,1,7,5,6,3]=>[4,6,7,1,3,2,5]=>[3,2,2]=>1001010=>5 [4,2,1,7,6,3,5]=>[4,6,7,1,2,5,3]=>[3,3,1]=>1001001=>4 [4,2,1,7,6,5,3]=>[4,6,7,1,2,3,5]=>[3,4]=>1001000=>3 [4,2,3,1,5,6,7]=>[4,6,5,7,3,2,1]=>[2,2,1,1,1]=>1010111=>4 [4,2,3,1,5,7,6]=>[4,6,5,7,3,1,2]=>[2,2,1,2]=>1010110=>5 [4,2,3,1,6,5,7]=>[4,6,5,7,2,3,1]=>[2,2,2,1]=>1010101=>6 [4,2,3,1,6,7,5]=>[4,6,5,7,2,1,3]=>[2,2,1,2]=>1010110=>5 [4,2,3,1,7,5,6]=>[4,6,5,7,1,3,2]=>[2,2,2,1]=>1010101=>6 [4,2,3,1,7,6,5]=>[4,6,5,7,1,2,3]=>[2,2,3]=>1010100=>5 [4,2,3,5,1,6,7]=>[4,6,5,3,7,2,1]=>[2,1,2,1,1]=>1011011=>4 [4,2,3,5,1,7,6]=>[4,6,5,3,7,1,2]=>[2,1,2,2]=>1011010=>5 [4,2,3,5,6,1,7]=>[4,6,5,3,2,7,1]=>[2,1,1,2,1]=>1011101=>4 [4,2,3,5,6,7,1]=>[4,6,5,3,2,1,7]=>[2,1,1,1,2]=>1011110=>3 [4,2,3,5,7,1,6]=>[4,6,5,3,1,7,2]=>[2,1,1,2,1]=>1011101=>4 [4,2,3,5,7,6,1]=>[4,6,5,3,1,2,7]=>[2,1,1,3]=>1011100=>3 [4,2,3,6,1,5,7]=>[4,6,5,2,7,3,1]=>[2,1,2,1,1]=>1011011=>4 [4,2,3,6,1,7,5]=>[4,6,5,2,7,1,3]=>[2,1,2,2]=>1011010=>5 [4,2,3,6,5,1,7]=>[4,6,5,2,3,7,1]=>[2,1,3,1]=>1011001=>4 [4,2,3,6,5,7,1]=>[4,6,5,2,3,1,7]=>[2,1,2,2]=>1011010=>5 [4,2,3,6,7,1,5]=>[4,6,5,2,1,7,3]=>[2,1,1,2,1]=>1011101=>4 [4,2,3,6,7,5,1]=>[4,6,5,2,1,3,7]=>[2,1,1,3]=>1011100=>3 [4,2,3,7,1,5,6]=>[4,6,5,1,7,3,2]=>[2,1,2,1,1]=>1011011=>4 [4,2,3,7,1,6,5]=>[4,6,5,1,7,2,3]=>[2,1,2,2]=>1011010=>5 [4,2,3,7,5,1,6]=>[4,6,5,1,3,7,2]=>[2,1,3,1]=>1011001=>4 [4,2,3,7,5,6,1]=>[4,6,5,1,3,2,7]=>[2,1,2,2]=>1011010=>5 [4,2,3,7,6,1,5]=>[4,6,5,1,2,7,3]=>[2,1,3,1]=>1011001=>4 [4,2,3,7,6,5,1]=>[4,6,5,1,2,3,7]=>[2,1,4]=>1011000=>3 [4,2,5,1,3,6,7]=>[4,6,3,7,5,2,1]=>[2,2,1,1,1]=>1010111=>4 [4,2,5,1,3,7,6]=>[4,6,3,7,5,1,2]=>[2,2,1,2]=>1010110=>5 [4,2,5,1,6,3,7]=>[4,6,3,7,2,5,1]=>[2,2,2,1]=>1010101=>6 [4,2,5,1,6,7,3]=>[4,6,3,7,2,1,5]=>[2,2,1,2]=>1010110=>5 [4,2,5,1,7,3,6]=>[4,6,3,7,1,5,2]=>[2,2,2,1]=>1010101=>6 [4,2,5,1,7,6,3]=>[4,6,3,7,1,2,5]=>[2,2,3]=>1010100=>5 [4,2,5,3,1,6,7]=>[4,6,3,5,7,2,1]=>[2,3,1,1]=>1010011=>4 [4,2,5,3,1,7,6]=>[4,6,3,5,7,1,2]=>[2,3,2]=>1010010=>5 [4,2,5,3,6,1,7]=>[4,6,3,5,2,7,1]=>[2,2,2,1]=>1010101=>6 [4,2,5,3,6,7,1]=>[4,6,3,5,2,1,7]=>[2,2,1,2]=>1010110=>5 [4,2,5,3,7,1,6]=>[4,6,3,5,1,7,2]=>[2,2,2,1]=>1010101=>6 [4,2,5,3,7,6,1]=>[4,6,3,5,1,2,7]=>[2,2,3]=>1010100=>5 [4,2,5,6,1,3,7]=>[4,6,3,2,7,5,1]=>[2,1,2,1,1]=>1011011=>4 [4,2,5,6,1,7,3]=>[4,6,3,2,7,1,5]=>[2,1,2,2]=>1011010=>5 [4,2,5,6,3,1,7]=>[4,6,3,2,5,7,1]=>[2,1,3,1]=>1011001=>4 [4,2,5,6,3,7,1]=>[4,6,3,2,5,1,7]=>[2,1,2,2]=>1011010=>5 [4,2,5,6,7,1,3]=>[4,6,3,2,1,7,5]=>[2,1,1,2,1]=>1011101=>4 [4,2,5,6,7,3,1]=>[4,6,3,2,1,5,7]=>[2,1,1,3]=>1011100=>3 [4,2,5,7,1,3,6]=>[4,6,3,1,7,5,2]=>[2,1,2,1,1]=>1011011=>4 [4,2,5,7,1,6,3]=>[4,6,3,1,7,2,5]=>[2,1,2,2]=>1011010=>5 [4,2,5,7,3,1,6]=>[4,6,3,1,5,7,2]=>[2,1,3,1]=>1011001=>4 [4,2,5,7,3,6,1]=>[4,6,3,1,5,2,7]=>[2,1,2,2]=>1011010=>5 [4,2,5,7,6,1,3]=>[4,6,3,1,2,7,5]=>[2,1,3,1]=>1011001=>4 [4,2,5,7,6,3,1]=>[4,6,3,1,2,5,7]=>[2,1,4]=>1011000=>3 [4,2,6,1,3,5,7]=>[4,6,2,7,5,3,1]=>[2,2,1,1,1]=>1010111=>4 [4,2,6,1,3,7,5]=>[4,6,2,7,5,1,3]=>[2,2,1,2]=>1010110=>5 [4,2,6,1,5,3,7]=>[4,6,2,7,3,5,1]=>[2,2,2,1]=>1010101=>6 [4,2,6,1,5,7,3]=>[4,6,2,7,3,1,5]=>[2,2,1,2]=>1010110=>5 [4,2,6,1,7,3,5]=>[4,6,2,7,1,5,3]=>[2,2,2,1]=>1010101=>6 [4,2,6,1,7,5,3]=>[4,6,2,7,1,3,5]=>[2,2,3]=>1010100=>5 [4,2,6,3,1,5,7]=>[4,6,2,5,7,3,1]=>[2,3,1,1]=>1010011=>4 [4,2,6,3,1,7,5]=>[4,6,2,5,7,1,3]=>[2,3,2]=>1010010=>5 [4,2,6,3,5,1,7]=>[4,6,2,5,3,7,1]=>[2,2,2,1]=>1010101=>6 [4,2,6,3,5,7,1]=>[4,6,2,5,3,1,7]=>[2,2,1,2]=>1010110=>5 [4,2,6,3,7,1,5]=>[4,6,2,5,1,7,3]=>[2,2,2,1]=>1010101=>6 [4,2,6,3,7,5,1]=>[4,6,2,5,1,3,7]=>[2,2,3]=>1010100=>5 [4,2,6,5,1,3,7]=>[4,6,2,3,7,5,1]=>[2,3,1,1]=>1010011=>4 [4,2,6,5,1,7,3]=>[4,6,2,3,7,1,5]=>[2,3,2]=>1010010=>5 [4,2,6,5,3,1,7]=>[4,6,2,3,5,7,1]=>[2,4,1]=>1010001=>4 [4,2,6,5,3,7,1]=>[4,6,2,3,5,1,7]=>[2,3,2]=>1010010=>5 [4,2,6,5,7,1,3]=>[4,6,2,3,1,7,5]=>[2,2,2,1]=>1010101=>6 [4,2,6,5,7,3,1]=>[4,6,2,3,1,5,7]=>[2,2,3]=>1010100=>5 [4,2,6,7,1,3,5]=>[4,6,2,1,7,5,3]=>[2,1,2,1,1]=>1011011=>4 [4,2,6,7,1,5,3]=>[4,6,2,1,7,3,5]=>[2,1,2,2]=>1011010=>5 [4,2,6,7,3,1,5]=>[4,6,2,1,5,7,3]=>[2,1,3,1]=>1011001=>4 [4,2,6,7,3,5,1]=>[4,6,2,1,5,3,7]=>[2,1,2,2]=>1011010=>5 [4,2,6,7,5,1,3]=>[4,6,2,1,3,7,5]=>[2,1,3,1]=>1011001=>4 [4,2,6,7,5,3,1]=>[4,6,2,1,3,5,7]=>[2,1,4]=>1011000=>3 [4,2,7,1,3,5,6]=>[4,6,1,7,5,3,2]=>[2,2,1,1,1]=>1010111=>4 [4,2,7,1,3,6,5]=>[4,6,1,7,5,2,3]=>[2,2,1,2]=>1010110=>5 [4,2,7,1,5,3,6]=>[4,6,1,7,3,5,2]=>[2,2,2,1]=>1010101=>6 [4,2,7,1,5,6,3]=>[4,6,1,7,3,2,5]=>[2,2,1,2]=>1010110=>5 [4,2,7,1,6,3,5]=>[4,6,1,7,2,5,3]=>[2,2,2,1]=>1010101=>6 [4,2,7,1,6,5,3]=>[4,6,1,7,2,3,5]=>[2,2,3]=>1010100=>5 [4,2,7,3,1,5,6]=>[4,6,1,5,7,3,2]=>[2,3,1,1]=>1010011=>4 [4,2,7,3,1,6,5]=>[4,6,1,5,7,2,3]=>[2,3,2]=>1010010=>5 [4,2,7,3,5,1,6]=>[4,6,1,5,3,7,2]=>[2,2,2,1]=>1010101=>6 [4,2,7,3,5,6,1]=>[4,6,1,5,3,2,7]=>[2,2,1,2]=>1010110=>5 [4,2,7,3,6,1,5]=>[4,6,1,5,2,7,3]=>[2,2,2,1]=>1010101=>6 [4,2,7,3,6,5,1]=>[4,6,1,5,2,3,7]=>[2,2,3]=>1010100=>5 [4,2,7,5,1,3,6]=>[4,6,1,3,7,5,2]=>[2,3,1,1]=>1010011=>4 [4,2,7,5,1,6,3]=>[4,6,1,3,7,2,5]=>[2,3,2]=>1010010=>5 [4,2,7,5,3,1,6]=>[4,6,1,3,5,7,2]=>[2,4,1]=>1010001=>4 [4,2,7,5,3,6,1]=>[4,6,1,3,5,2,7]=>[2,3,2]=>1010010=>5 [4,2,7,5,6,1,3]=>[4,6,1,3,2,7,5]=>[2,2,2,1]=>1010101=>6 [4,2,7,5,6,3,1]=>[4,6,1,3,2,5,7]=>[2,2,3]=>1010100=>5 [4,2,7,6,1,3,5]=>[4,6,1,2,7,5,3]=>[2,3,1,1]=>1010011=>4 [4,2,7,6,1,5,3]=>[4,6,1,2,7,3,5]=>[2,3,2]=>1010010=>5 [4,2,7,6,3,1,5]=>[4,6,1,2,5,7,3]=>[2,4,1]=>1010001=>4 [4,2,7,6,3,5,1]=>[4,6,1,2,5,3,7]=>[2,3,2]=>1010010=>5 [4,2,7,6,5,1,3]=>[4,6,1,2,3,7,5]=>[2,4,1]=>1010001=>4 [4,2,7,6,5,3,1]=>[4,6,1,2,3,5,7]=>[2,5]=>1010000=>3 [4,3,1,2,5,6,7]=>[4,5,7,6,3,2,1]=>[3,1,1,1,1]=>1001111=>2 [4,3,1,2,5,7,6]=>[4,5,7,6,3,1,2]=>[3,1,1,2]=>1001110=>3 [4,3,1,2,6,5,7]=>[4,5,7,6,2,3,1]=>[3,1,2,1]=>1001101=>4 [4,3,1,2,6,7,5]=>[4,5,7,6,2,1,3]=>[3,1,1,2]=>1001110=>3 [4,3,1,2,7,5,6]=>[4,5,7,6,1,3,2]=>[3,1,2,1]=>1001101=>4 [4,3,1,2,7,6,5]=>[4,5,7,6,1,2,3]=>[3,1,3]=>1001100=>3 [4,3,1,5,2,6,7]=>[4,5,7,3,6,2,1]=>[3,2,1,1]=>1001011=>4 [4,3,1,5,2,7,6]=>[4,5,7,3,6,1,2]=>[3,2,2]=>1001010=>5 [4,3,1,5,6,2,7]=>[4,5,7,3,2,6,1]=>[3,1,2,1]=>1001101=>4 [4,3,1,5,6,7,2]=>[4,5,7,3,2,1,6]=>[3,1,1,2]=>1001110=>3 [4,3,1,5,7,2,6]=>[4,5,7,3,1,6,2]=>[3,1,2,1]=>1001101=>4 [4,3,1,5,7,6,2]=>[4,5,7,3,1,2,6]=>[3,1,3]=>1001100=>3 [4,3,1,6,2,5,7]=>[4,5,7,2,6,3,1]=>[3,2,1,1]=>1001011=>4 [4,3,1,6,2,7,5]=>[4,5,7,2,6,1,3]=>[3,2,2]=>1001010=>5 [4,3,1,6,5,2,7]=>[4,5,7,2,3,6,1]=>[3,3,1]=>1001001=>4 [4,3,1,6,5,7,2]=>[4,5,7,2,3,1,6]=>[3,2,2]=>1001010=>5 [4,3,1,6,7,2,5]=>[4,5,7,2,1,6,3]=>[3,1,2,1]=>1001101=>4 [4,3,1,6,7,5,2]=>[4,5,7,2,1,3,6]=>[3,1,3]=>1001100=>3 [4,3,1,7,2,5,6]=>[4,5,7,1,6,3,2]=>[3,2,1,1]=>1001011=>4 [4,3,1,7,2,6,5]=>[4,5,7,1,6,2,3]=>[3,2,2]=>1001010=>5 [4,3,1,7,5,2,6]=>[4,5,7,1,3,6,2]=>[3,3,1]=>1001001=>4 [4,3,1,7,5,6,2]=>[4,5,7,1,3,2,6]=>[3,2,2]=>1001010=>5 [4,3,1,7,6,2,5]=>[4,5,7,1,2,6,3]=>[3,3,1]=>1001001=>4 [4,3,1,7,6,5,2]=>[4,5,7,1,2,3,6]=>[3,4]=>1001000=>3 [4,3,2,1,5,6,7]=>[4,5,6,7,3,2,1]=>[4,1,1,1]=>1000111=>2 [4,3,2,1,5,7,6]=>[4,5,6,7,3,1,2]=>[4,1,2]=>1000110=>3 [4,3,2,1,6,5,7]=>[4,5,6,7,2,3,1]=>[4,2,1]=>1000101=>4 [4,3,2,1,6,7,5]=>[4,5,6,7,2,1,3]=>[4,1,2]=>1000110=>3 [4,3,2,1,7,5,6]=>[4,5,6,7,1,3,2]=>[4,2,1]=>1000101=>4 [4,3,2,1,7,6,5]=>[4,5,6,7,1,2,3]=>[4,3]=>1000100=>3 [4,3,2,5,1,6,7]=>[4,5,6,3,7,2,1]=>[3,2,1,1]=>1001011=>4 [4,3,2,5,1,7,6]=>[4,5,6,3,7,1,2]=>[3,2,2]=>1001010=>5 [4,3,2,5,6,1,7]=>[4,5,6,3,2,7,1]=>[3,1,2,1]=>1001101=>4 [4,3,2,5,6,7,1]=>[4,5,6,3,2,1,7]=>[3,1,1,2]=>1001110=>3 [4,3,2,5,7,1,6]=>[4,5,6,3,1,7,2]=>[3,1,2,1]=>1001101=>4 [4,3,2,5,7,6,1]=>[4,5,6,3,1,2,7]=>[3,1,3]=>1001100=>3 [4,3,2,6,1,5,7]=>[4,5,6,2,7,3,1]=>[3,2,1,1]=>1001011=>4 [4,3,2,6,1,7,5]=>[4,5,6,2,7,1,3]=>[3,2,2]=>1001010=>5 [4,3,2,6,5,1,7]=>[4,5,6,2,3,7,1]=>[3,3,1]=>1001001=>4 [4,3,2,6,5,7,1]=>[4,5,6,2,3,1,7]=>[3,2,2]=>1001010=>5 [4,3,2,6,7,1,5]=>[4,5,6,2,1,7,3]=>[3,1,2,1]=>1001101=>4 [4,3,2,6,7,5,1]=>[4,5,6,2,1,3,7]=>[3,1,3]=>1001100=>3 [4,3,2,7,1,5,6]=>[4,5,6,1,7,3,2]=>[3,2,1,1]=>1001011=>4 [4,3,2,7,1,6,5]=>[4,5,6,1,7,2,3]=>[3,2,2]=>1001010=>5 [4,3,2,7,5,1,6]=>[4,5,6,1,3,7,2]=>[3,3,1]=>1001001=>4 [4,3,2,7,5,6,1]=>[4,5,6,1,3,2,7]=>[3,2,2]=>1001010=>5 [4,3,2,7,6,1,5]=>[4,5,6,1,2,7,3]=>[3,3,1]=>1001001=>4 [4,3,2,7,6,5,1]=>[4,5,6,1,2,3,7]=>[3,4]=>1001000=>3 [4,3,5,1,2,6,7]=>[4,5,3,7,6,2,1]=>[2,2,1,1,1]=>1010111=>4 [4,3,5,1,2,7,6]=>[4,5,3,7,6,1,2]=>[2,2,1,2]=>1010110=>5 [4,3,5,1,6,2,7]=>[4,5,3,7,2,6,1]=>[2,2,2,1]=>1010101=>6 [4,3,5,1,6,7,2]=>[4,5,3,7,2,1,6]=>[2,2,1,2]=>1010110=>5 [4,3,5,1,7,2,6]=>[4,5,3,7,1,6,2]=>[2,2,2,1]=>1010101=>6 [4,3,5,1,7,6,2]=>[4,5,3,7,1,2,6]=>[2,2,3]=>1010100=>5 [4,3,5,2,1,6,7]=>[4,5,3,6,7,2,1]=>[2,3,1,1]=>1010011=>4 [4,3,5,2,1,7,6]=>[4,5,3,6,7,1,2]=>[2,3,2]=>1010010=>5 [4,3,5,2,6,1,7]=>[4,5,3,6,2,7,1]=>[2,2,2,1]=>1010101=>6 [4,3,5,2,6,7,1]=>[4,5,3,6,2,1,7]=>[2,2,1,2]=>1010110=>5 [4,3,5,2,7,1,6]=>[4,5,3,6,1,7,2]=>[2,2,2,1]=>1010101=>6 [4,3,5,2,7,6,1]=>[4,5,3,6,1,2,7]=>[2,2,3]=>1010100=>5 [4,3,5,6,1,2,7]=>[4,5,3,2,7,6,1]=>[2,1,2,1,1]=>1011011=>4 [4,3,5,6,1,7,2]=>[4,5,3,2,7,1,6]=>[2,1,2,2]=>1011010=>5 [4,3,5,6,2,1,7]=>[4,5,3,2,6,7,1]=>[2,1,3,1]=>1011001=>4 [4,3,5,6,2,7,1]=>[4,5,3,2,6,1,7]=>[2,1,2,2]=>1011010=>5 [4,3,5,6,7,1,2]=>[4,5,3,2,1,7,6]=>[2,1,1,2,1]=>1011101=>4 [4,3,5,6,7,2,1]=>[4,5,3,2,1,6,7]=>[2,1,1,3]=>1011100=>3 [4,3,5,7,1,2,6]=>[4,5,3,1,7,6,2]=>[2,1,2,1,1]=>1011011=>4 [4,3,5,7,1,6,2]=>[4,5,3,1,7,2,6]=>[2,1,2,2]=>1011010=>5 [4,3,5,7,2,1,6]=>[4,5,3,1,6,7,2]=>[2,1,3,1]=>1011001=>4 [4,3,5,7,2,6,1]=>[4,5,3,1,6,2,7]=>[2,1,2,2]=>1011010=>5 [4,3,5,7,6,1,2]=>[4,5,3,1,2,7,6]=>[2,1,3,1]=>1011001=>4 [4,3,5,7,6,2,1]=>[4,5,3,1,2,6,7]=>[2,1,4]=>1011000=>3 [4,3,6,1,2,5,7]=>[4,5,2,7,6,3,1]=>[2,2,1,1,1]=>1010111=>4 [4,3,6,1,2,7,5]=>[4,5,2,7,6,1,3]=>[2,2,1,2]=>1010110=>5 [4,3,6,1,5,2,7]=>[4,5,2,7,3,6,1]=>[2,2,2,1]=>1010101=>6 [4,3,6,1,5,7,2]=>[4,5,2,7,3,1,6]=>[2,2,1,2]=>1010110=>5 [4,3,6,1,7,2,5]=>[4,5,2,7,1,6,3]=>[2,2,2,1]=>1010101=>6 [4,3,6,1,7,5,2]=>[4,5,2,7,1,3,6]=>[2,2,3]=>1010100=>5 [4,3,6,2,1,5,7]=>[4,5,2,6,7,3,1]=>[2,3,1,1]=>1010011=>4 [4,3,6,2,1,7,5]=>[4,5,2,6,7,1,3]=>[2,3,2]=>1010010=>5 [4,3,6,2,5,1,7]=>[4,5,2,6,3,7,1]=>[2,2,2,1]=>1010101=>6 [4,3,6,2,5,7,1]=>[4,5,2,6,3,1,7]=>[2,2,1,2]=>1010110=>5 [4,3,6,2,7,1,5]=>[4,5,2,6,1,7,3]=>[2,2,2,1]=>1010101=>6 [4,3,6,2,7,5,1]=>[4,5,2,6,1,3,7]=>[2,2,3]=>1010100=>5 [4,3,6,5,1,2,7]=>[4,5,2,3,7,6,1]=>[2,3,1,1]=>1010011=>4 [4,3,6,5,1,7,2]=>[4,5,2,3,7,1,6]=>[2,3,2]=>1010010=>5 [4,3,6,5,2,1,7]=>[4,5,2,3,6,7,1]=>[2,4,1]=>1010001=>4 [4,3,6,5,2,7,1]=>[4,5,2,3,6,1,7]=>[2,3,2]=>1010010=>5 [4,3,6,5,7,1,2]=>[4,5,2,3,1,7,6]=>[2,2,2,1]=>1010101=>6 [4,3,6,5,7,2,1]=>[4,5,2,3,1,6,7]=>[2,2,3]=>1010100=>5 [4,3,6,7,1,2,5]=>[4,5,2,1,7,6,3]=>[2,1,2,1,1]=>1011011=>4 [4,3,6,7,1,5,2]=>[4,5,2,1,7,3,6]=>[2,1,2,2]=>1011010=>5 [4,3,6,7,2,1,5]=>[4,5,2,1,6,7,3]=>[2,1,3,1]=>1011001=>4 [4,3,6,7,2,5,1]=>[4,5,2,1,6,3,7]=>[2,1,2,2]=>1011010=>5 [4,3,6,7,5,1,2]=>[4,5,2,1,3,7,6]=>[2,1,3,1]=>1011001=>4 [4,3,6,7,5,2,1]=>[4,5,2,1,3,6,7]=>[2,1,4]=>1011000=>3 [4,3,7,1,2,5,6]=>[4,5,1,7,6,3,2]=>[2,2,1,1,1]=>1010111=>4 [4,3,7,1,2,6,5]=>[4,5,1,7,6,2,3]=>[2,2,1,2]=>1010110=>5 [4,3,7,1,5,2,6]=>[4,5,1,7,3,6,2]=>[2,2,2,1]=>1010101=>6 [4,3,7,1,5,6,2]=>[4,5,1,7,3,2,6]=>[2,2,1,2]=>1010110=>5 [4,3,7,1,6,2,5]=>[4,5,1,7,2,6,3]=>[2,2,2,1]=>1010101=>6 [4,3,7,1,6,5,2]=>[4,5,1,7,2,3,6]=>[2,2,3]=>1010100=>5 [4,3,7,2,1,5,6]=>[4,5,1,6,7,3,2]=>[2,3,1,1]=>1010011=>4 [4,3,7,2,1,6,5]=>[4,5,1,6,7,2,3]=>[2,3,2]=>1010010=>5 [4,3,7,2,5,1,6]=>[4,5,1,6,3,7,2]=>[2,2,2,1]=>1010101=>6 [4,3,7,2,5,6,1]=>[4,5,1,6,3,2,7]=>[2,2,1,2]=>1010110=>5 [4,3,7,2,6,1,5]=>[4,5,1,6,2,7,3]=>[2,2,2,1]=>1010101=>6 [4,3,7,2,6,5,1]=>[4,5,1,6,2,3,7]=>[2,2,3]=>1010100=>5 [4,3,7,5,1,2,6]=>[4,5,1,3,7,6,2]=>[2,3,1,1]=>1010011=>4 [4,3,7,5,1,6,2]=>[4,5,1,3,7,2,6]=>[2,3,2]=>1010010=>5 [4,3,7,5,2,1,6]=>[4,5,1,3,6,7,2]=>[2,4,1]=>1010001=>4 [4,3,7,5,2,6,1]=>[4,5,1,3,6,2,7]=>[2,3,2]=>1010010=>5 [4,3,7,5,6,1,2]=>[4,5,1,3,2,7,6]=>[2,2,2,1]=>1010101=>6 [4,3,7,5,6,2,1]=>[4,5,1,3,2,6,7]=>[2,2,3]=>1010100=>5 [4,3,7,6,1,2,5]=>[4,5,1,2,7,6,3]=>[2,3,1,1]=>1010011=>4 [4,3,7,6,1,5,2]=>[4,5,1,2,7,3,6]=>[2,3,2]=>1010010=>5 [4,3,7,6,2,1,5]=>[4,5,1,2,6,7,3]=>[2,4,1]=>1010001=>4 [4,3,7,6,2,5,1]=>[4,5,1,2,6,3,7]=>[2,3,2]=>1010010=>5 [4,3,7,6,5,1,2]=>[4,5,1,2,3,7,6]=>[2,4,1]=>1010001=>4 [4,3,7,6,5,2,1]=>[4,5,1,2,3,6,7]=>[2,5]=>1010000=>3 [4,5,1,2,3,6,7]=>[4,3,7,6,5,2,1]=>[1,2,1,1,1,1]=>1101111=>2 [4,5,1,2,3,7,6]=>[4,3,7,6,5,1,2]=>[1,2,1,1,2]=>1101110=>3 [4,5,1,2,6,3,7]=>[4,3,7,6,2,5,1]=>[1,2,1,2,1]=>1101101=>4 [4,5,1,2,6,7,3]=>[4,3,7,6,2,1,5]=>[1,2,1,1,2]=>1101110=>3 [4,5,1,2,7,3,6]=>[4,3,7,6,1,5,2]=>[1,2,1,2,1]=>1101101=>4 [4,5,1,2,7,6,3]=>[4,3,7,6,1,2,5]=>[1,2,1,3]=>1101100=>3 [4,5,1,3,2,6,7]=>[4,3,7,5,6,2,1]=>[1,2,2,1,1]=>1101011=>4 [4,5,1,3,2,7,6]=>[4,3,7,5,6,1,2]=>[1,2,2,2]=>1101010=>5 [4,5,1,3,6,2,7]=>[4,3,7,5,2,6,1]=>[1,2,1,2,1]=>1101101=>4 [4,5,1,3,6,7,2]=>[4,3,7,5,2,1,6]=>[1,2,1,1,2]=>1101110=>3 [4,5,1,3,7,2,6]=>[4,3,7,5,1,6,2]=>[1,2,1,2,1]=>1101101=>4 [4,5,1,3,7,6,2]=>[4,3,7,5,1,2,6]=>[1,2,1,3]=>1101100=>3 [4,5,1,6,2,3,7]=>[4,3,7,2,6,5,1]=>[1,2,2,1,1]=>1101011=>4 [4,5,1,6,2,7,3]=>[4,3,7,2,6,1,5]=>[1,2,2,2]=>1101010=>5 [4,5,1,6,3,2,7]=>[4,3,7,2,5,6,1]=>[1,2,3,1]=>1101001=>4 [4,5,1,6,3,7,2]=>[4,3,7,2,5,1,6]=>[1,2,2,2]=>1101010=>5 [4,5,1,6,7,2,3]=>[4,3,7,2,1,6,5]=>[1,2,1,2,1]=>1101101=>4 [4,5,1,6,7,3,2]=>[4,3,7,2,1,5,6]=>[1,2,1,3]=>1101100=>3 [4,5,1,7,2,3,6]=>[4,3,7,1,6,5,2]=>[1,2,2,1,1]=>1101011=>4 [4,5,1,7,2,6,3]=>[4,3,7,1,6,2,5]=>[1,2,2,2]=>1101010=>5 [4,5,1,7,3,2,6]=>[4,3,7,1,5,6,2]=>[1,2,3,1]=>1101001=>4 [4,5,1,7,3,6,2]=>[4,3,7,1,5,2,6]=>[1,2,2,2]=>1101010=>5 [4,5,1,7,6,2,3]=>[4,3,7,1,2,6,5]=>[1,2,3,1]=>1101001=>4 [4,5,1,7,6,3,2]=>[4,3,7,1,2,5,6]=>[1,2,4]=>1101000=>3 [4,5,2,1,3,6,7]=>[4,3,6,7,5,2,1]=>[1,3,1,1,1]=>1100111=>2 [4,5,2,1,3,7,6]=>[4,3,6,7,5,1,2]=>[1,3,1,2]=>1100110=>3 [4,5,2,1,6,3,7]=>[4,3,6,7,2,5,1]=>[1,3,2,1]=>1100101=>4 [4,5,2,1,6,7,3]=>[4,3,6,7,2,1,5]=>[1,3,1,2]=>1100110=>3 [4,5,2,1,7,3,6]=>[4,3,6,7,1,5,2]=>[1,3,2,1]=>1100101=>4 [4,5,2,1,7,6,3]=>[4,3,6,7,1,2,5]=>[1,3,3]=>1100100=>3 [4,5,2,3,1,6,7]=>[4,3,6,5,7,2,1]=>[1,2,2,1,1]=>1101011=>4 [4,5,2,3,1,7,6]=>[4,3,6,5,7,1,2]=>[1,2,2,2]=>1101010=>5 [4,5,2,3,6,1,7]=>[4,3,6,5,2,7,1]=>[1,2,1,2,1]=>1101101=>4 [4,5,2,3,6,7,1]=>[4,3,6,5,2,1,7]=>[1,2,1,1,2]=>1101110=>3 [4,5,2,3,7,1,6]=>[4,3,6,5,1,7,2]=>[1,2,1,2,1]=>1101101=>4 [4,5,2,3,7,6,1]=>[4,3,6,5,1,2,7]=>[1,2,1,3]=>1101100=>3 [4,5,2,6,1,3,7]=>[4,3,6,2,7,5,1]=>[1,2,2,1,1]=>1101011=>4 [4,5,2,6,1,7,3]=>[4,3,6,2,7,1,5]=>[1,2,2,2]=>1101010=>5 [4,5,2,6,3,1,7]=>[4,3,6,2,5,7,1]=>[1,2,3,1]=>1101001=>4 [4,5,2,6,3,7,1]=>[4,3,6,2,5,1,7]=>[1,2,2,2]=>1101010=>5 [4,5,2,6,7,1,3]=>[4,3,6,2,1,7,5]=>[1,2,1,2,1]=>1101101=>4 [4,5,2,6,7,3,1]=>[4,3,6,2,1,5,7]=>[1,2,1,3]=>1101100=>3 [4,5,2,7,1,3,6]=>[4,3,6,1,7,5,2]=>[1,2,2,1,1]=>1101011=>4 [4,5,2,7,1,6,3]=>[4,3,6,1,7,2,5]=>[1,2,2,2]=>1101010=>5 [4,5,2,7,3,1,6]=>[4,3,6,1,5,7,2]=>[1,2,3,1]=>1101001=>4 [4,5,2,7,3,6,1]=>[4,3,6,1,5,2,7]=>[1,2,2,2]=>1101010=>5 [4,5,2,7,6,1,3]=>[4,3,6,1,2,7,5]=>[1,2,3,1]=>1101001=>4 [4,5,2,7,6,3,1]=>[4,3,6,1,2,5,7]=>[1,2,4]=>1101000=>3 [4,5,3,1,2,6,7]=>[4,3,5,7,6,2,1]=>[1,3,1,1,1]=>1100111=>2 [4,5,3,1,2,7,6]=>[4,3,5,7,6,1,2]=>[1,3,1,2]=>1100110=>3 [4,5,3,1,6,2,7]=>[4,3,5,7,2,6,1]=>[1,3,2,1]=>1100101=>4 [4,5,3,1,6,7,2]=>[4,3,5,7,2,1,6]=>[1,3,1,2]=>1100110=>3 [4,5,3,1,7,2,6]=>[4,3,5,7,1,6,2]=>[1,3,2,1]=>1100101=>4 [4,5,3,1,7,6,2]=>[4,3,5,7,1,2,6]=>[1,3,3]=>1100100=>3 [4,5,3,2,1,6,7]=>[4,3,5,6,7,2,1]=>[1,4,1,1]=>1100011=>2 [4,5,3,2,1,7,6]=>[4,3,5,6,7,1,2]=>[1,4,2]=>1100010=>3 [4,5,3,2,6,1,7]=>[4,3,5,6,2,7,1]=>[1,3,2,1]=>1100101=>4 [4,5,3,2,6,7,1]=>[4,3,5,6,2,1,7]=>[1,3,1,2]=>1100110=>3 [4,5,3,2,7,1,6]=>[4,3,5,6,1,7,2]=>[1,3,2,1]=>1100101=>4 [4,5,3,2,7,6,1]=>[4,3,5,6,1,2,7]=>[1,3,3]=>1100100=>3 [4,5,3,6,1,2,7]=>[4,3,5,2,7,6,1]=>[1,2,2,1,1]=>1101011=>4 [4,5,3,6,1,7,2]=>[4,3,5,2,7,1,6]=>[1,2,2,2]=>1101010=>5 [4,5,3,6,2,1,7]=>[4,3,5,2,6,7,1]=>[1,2,3,1]=>1101001=>4 [4,5,3,6,2,7,1]=>[4,3,5,2,6,1,7]=>[1,2,2,2]=>1101010=>5 [4,5,3,6,7,1,2]=>[4,3,5,2,1,7,6]=>[1,2,1,2,1]=>1101101=>4 [4,5,3,6,7,2,1]=>[4,3,5,2,1,6,7]=>[1,2,1,3]=>1101100=>3 [4,5,3,7,1,2,6]=>[4,3,5,1,7,6,2]=>[1,2,2,1,1]=>1101011=>4 [4,5,3,7,1,6,2]=>[4,3,5,1,7,2,6]=>[1,2,2,2]=>1101010=>5 [4,5,3,7,2,1,6]=>[4,3,5,1,6,7,2]=>[1,2,3,1]=>1101001=>4 [4,5,3,7,2,6,1]=>[4,3,5,1,6,2,7]=>[1,2,2,2]=>1101010=>5 [4,5,3,7,6,1,2]=>[4,3,5,1,2,7,6]=>[1,2,3,1]=>1101001=>4 [4,5,3,7,6,2,1]=>[4,3,5,1,2,6,7]=>[1,2,4]=>1101000=>3 [4,5,6,1,2,3,7]=>[4,3,2,7,6,5,1]=>[1,1,2,1,1,1]=>1110111=>2 [4,5,6,1,2,7,3]=>[4,3,2,7,6,1,5]=>[1,1,2,1,2]=>1110110=>3 [4,5,6,1,3,2,7]=>[4,3,2,7,5,6,1]=>[1,1,2,2,1]=>1110101=>4 [4,5,6,1,3,7,2]=>[4,3,2,7,5,1,6]=>[1,1,2,1,2]=>1110110=>3 [4,5,6,1,7,2,3]=>[4,3,2,7,1,6,5]=>[1,1,2,2,1]=>1110101=>4 [4,5,6,1,7,3,2]=>[4,3,2,7,1,5,6]=>[1,1,2,3]=>1110100=>3 [4,5,6,2,1,3,7]=>[4,3,2,6,7,5,1]=>[1,1,3,1,1]=>1110011=>2 [4,5,6,2,1,7,3]=>[4,3,2,6,7,1,5]=>[1,1,3,2]=>1110010=>3 [4,5,6,2,3,1,7]=>[4,3,2,6,5,7,1]=>[1,1,2,2,1]=>1110101=>4 [4,5,6,2,3,7,1]=>[4,3,2,6,5,1,7]=>[1,1,2,1,2]=>1110110=>3 [4,5,6,2,7,1,3]=>[4,3,2,6,1,7,5]=>[1,1,2,2,1]=>1110101=>4 [4,5,6,2,7,3,1]=>[4,3,2,6,1,5,7]=>[1,1,2,3]=>1110100=>3 [4,5,6,3,1,2,7]=>[4,3,2,5,7,6,1]=>[1,1,3,1,1]=>1110011=>2 [4,5,6,3,1,7,2]=>[4,3,2,5,7,1,6]=>[1,1,3,2]=>1110010=>3 [4,5,6,3,2,1,7]=>[4,3,2,5,6,7,1]=>[1,1,4,1]=>1110001=>2 [4,5,6,3,2,7,1]=>[4,3,2,5,6,1,7]=>[1,1,3,2]=>1110010=>3 [4,5,6,3,7,1,2]=>[4,3,2,5,1,7,6]=>[1,1,2,2,1]=>1110101=>4 [4,5,6,3,7,2,1]=>[4,3,2,5,1,6,7]=>[1,1,2,3]=>1110100=>3 [4,5,6,7,1,2,3]=>[4,3,2,1,7,6,5]=>[1,1,1,2,1,1]=>1111011=>2 [4,5,6,7,1,3,2]=>[4,3,2,1,7,5,6]=>[1,1,1,2,2]=>1111010=>3 [4,5,6,7,2,1,3]=>[4,3,2,1,6,7,5]=>[1,1,1,3,1]=>1111001=>2 [4,5,6,7,2,3,1]=>[4,3,2,1,6,5,7]=>[1,1,1,2,2]=>1111010=>3 [4,5,6,7,3,1,2]=>[4,3,2,1,5,7,6]=>[1,1,1,3,1]=>1111001=>2 [4,5,6,7,3,2,1]=>[4,3,2,1,5,6,7]=>[1,1,1,4]=>1111000=>1 [4,5,7,1,2,3,6]=>[4,3,1,7,6,5,2]=>[1,1,2,1,1,1]=>1110111=>2 [4,5,7,1,2,6,3]=>[4,3,1,7,6,2,5]=>[1,1,2,1,2]=>1110110=>3 [4,5,7,1,3,2,6]=>[4,3,1,7,5,6,2]=>[1,1,2,2,1]=>1110101=>4 [4,5,7,1,3,6,2]=>[4,3,1,7,5,2,6]=>[1,1,2,1,2]=>1110110=>3 [4,5,7,1,6,2,3]=>[4,3,1,7,2,6,5]=>[1,1,2,2,1]=>1110101=>4 [4,5,7,1,6,3,2]=>[4,3,1,7,2,5,6]=>[1,1,2,3]=>1110100=>3 [4,5,7,2,1,3,6]=>[4,3,1,6,7,5,2]=>[1,1,3,1,1]=>1110011=>2 [4,5,7,2,1,6,3]=>[4,3,1,6,7,2,5]=>[1,1,3,2]=>1110010=>3 [4,5,7,2,3,1,6]=>[4,3,1,6,5,7,2]=>[1,1,2,2,1]=>1110101=>4 [4,5,7,2,3,6,1]=>[4,3,1,6,5,2,7]=>[1,1,2,1,2]=>1110110=>3 [4,5,7,2,6,1,3]=>[4,3,1,6,2,7,5]=>[1,1,2,2,1]=>1110101=>4 [4,5,7,2,6,3,1]=>[4,3,1,6,2,5,7]=>[1,1,2,3]=>1110100=>3 [4,5,7,3,1,2,6]=>[4,3,1,5,7,6,2]=>[1,1,3,1,1]=>1110011=>2 [4,5,7,3,1,6,2]=>[4,3,1,5,7,2,6]=>[1,1,3,2]=>1110010=>3 [4,5,7,3,2,1,6]=>[4,3,1,5,6,7,2]=>[1,1,4,1]=>1110001=>2 [4,5,7,3,2,6,1]=>[4,3,1,5,6,2,7]=>[1,1,3,2]=>1110010=>3 [4,5,7,3,6,1,2]=>[4,3,1,5,2,7,6]=>[1,1,2,2,1]=>1110101=>4 [4,5,7,3,6,2,1]=>[4,3,1,5,2,6,7]=>[1,1,2,3]=>1110100=>3 [4,5,7,6,1,2,3]=>[4,3,1,2,7,6,5]=>[1,1,3,1,1]=>1110011=>2 [4,5,7,6,1,3,2]=>[4,3,1,2,7,5,6]=>[1,1,3,2]=>1110010=>3 [4,5,7,6,2,1,3]=>[4,3,1,2,6,7,5]=>[1,1,4,1]=>1110001=>2 [4,5,7,6,2,3,1]=>[4,3,1,2,6,5,7]=>[1,1,3,2]=>1110010=>3 [4,5,7,6,3,1,2]=>[4,3,1,2,5,7,6]=>[1,1,4,1]=>1110001=>2 [4,5,7,6,3,2,1]=>[4,3,1,2,5,6,7]=>[1,1,5]=>1110000=>1 [4,6,1,2,3,5,7]=>[4,2,7,6,5,3,1]=>[1,2,1,1,1,1]=>1101111=>2 [4,6,1,2,3,7,5]=>[4,2,7,6,5,1,3]=>[1,2,1,1,2]=>1101110=>3 [4,6,1,2,5,3,7]=>[4,2,7,6,3,5,1]=>[1,2,1,2,1]=>1101101=>4 [4,6,1,2,5,7,3]=>[4,2,7,6,3,1,5]=>[1,2,1,1,2]=>1101110=>3 [4,6,1,2,7,3,5]=>[4,2,7,6,1,5,3]=>[1,2,1,2,1]=>1101101=>4 [4,6,1,2,7,5,3]=>[4,2,7,6,1,3,5]=>[1,2,1,3]=>1101100=>3 [4,6,1,3,2,5,7]=>[4,2,7,5,6,3,1]=>[1,2,2,1,1]=>1101011=>4 [4,6,1,3,2,7,5]=>[4,2,7,5,6,1,3]=>[1,2,2,2]=>1101010=>5 [4,6,1,3,5,2,7]=>[4,2,7,5,3,6,1]=>[1,2,1,2,1]=>1101101=>4 [4,6,1,3,5,7,2]=>[4,2,7,5,3,1,6]=>[1,2,1,1,2]=>1101110=>3 [4,6,1,3,7,2,5]=>[4,2,7,5,1,6,3]=>[1,2,1,2,1]=>1101101=>4 [4,6,1,3,7,5,2]=>[4,2,7,5,1,3,6]=>[1,2,1,3]=>1101100=>3 [4,6,1,5,2,3,7]=>[4,2,7,3,6,5,1]=>[1,2,2,1,1]=>1101011=>4 [4,6,1,5,2,7,3]=>[4,2,7,3,6,1,5]=>[1,2,2,2]=>1101010=>5 [4,6,1,5,3,2,7]=>[4,2,7,3,5,6,1]=>[1,2,3,1]=>1101001=>4 [4,6,1,5,3,7,2]=>[4,2,7,3,5,1,6]=>[1,2,2,2]=>1101010=>5 [4,6,1,5,7,2,3]=>[4,2,7,3,1,6,5]=>[1,2,1,2,1]=>1101101=>4 [4,6,1,5,7,3,2]=>[4,2,7,3,1,5,6]=>[1,2,1,3]=>1101100=>3 [4,6,1,7,2,3,5]=>[4,2,7,1,6,5,3]=>[1,2,2,1,1]=>1101011=>4 [4,6,1,7,2,5,3]=>[4,2,7,1,6,3,5]=>[1,2,2,2]=>1101010=>5 [4,6,1,7,3,2,5]=>[4,2,7,1,5,6,3]=>[1,2,3,1]=>1101001=>4 [4,6,1,7,3,5,2]=>[4,2,7,1,5,3,6]=>[1,2,2,2]=>1101010=>5 [4,6,1,7,5,2,3]=>[4,2,7,1,3,6,5]=>[1,2,3,1]=>1101001=>4 [4,6,1,7,5,3,2]=>[4,2,7,1,3,5,6]=>[1,2,4]=>1101000=>3 [4,6,2,1,3,5,7]=>[4,2,6,7,5,3,1]=>[1,3,1,1,1]=>1100111=>2 [4,6,2,1,3,7,5]=>[4,2,6,7,5,1,3]=>[1,3,1,2]=>1100110=>3 [4,6,2,1,5,3,7]=>[4,2,6,7,3,5,1]=>[1,3,2,1]=>1100101=>4 [4,6,2,1,5,7,3]=>[4,2,6,7,3,1,5]=>[1,3,1,2]=>1100110=>3 [4,6,2,1,7,3,5]=>[4,2,6,7,1,5,3]=>[1,3,2,1]=>1100101=>4 [4,6,2,1,7,5,3]=>[4,2,6,7,1,3,5]=>[1,3,3]=>1100100=>3 [4,6,2,3,1,5,7]=>[4,2,6,5,7,3,1]=>[1,2,2,1,1]=>1101011=>4 [4,6,2,3,1,7,5]=>[4,2,6,5,7,1,3]=>[1,2,2,2]=>1101010=>5 [4,6,2,3,5,1,7]=>[4,2,6,5,3,7,1]=>[1,2,1,2,1]=>1101101=>4 [4,6,2,3,5,7,1]=>[4,2,6,5,3,1,7]=>[1,2,1,1,2]=>1101110=>3 [4,6,2,3,7,1,5]=>[4,2,6,5,1,7,3]=>[1,2,1,2,1]=>1101101=>4 [4,6,2,3,7,5,1]=>[4,2,6,5,1,3,7]=>[1,2,1,3]=>1101100=>3 [4,6,2,5,1,3,7]=>[4,2,6,3,7,5,1]=>[1,2,2,1,1]=>1101011=>4 [4,6,2,5,1,7,3]=>[4,2,6,3,7,1,5]=>[1,2,2,2]=>1101010=>5 [4,6,2,5,3,1,7]=>[4,2,6,3,5,7,1]=>[1,2,3,1]=>1101001=>4 [4,6,2,5,3,7,1]=>[4,2,6,3,5,1,7]=>[1,2,2,2]=>1101010=>5 [4,6,2,5,7,1,3]=>[4,2,6,3,1,7,5]=>[1,2,1,2,1]=>1101101=>4 [4,6,2,5,7,3,1]=>[4,2,6,3,1,5,7]=>[1,2,1,3]=>1101100=>3 [4,6,2,7,1,3,5]=>[4,2,6,1,7,5,3]=>[1,2,2,1,1]=>1101011=>4 [4,6,2,7,1,5,3]=>[4,2,6,1,7,3,5]=>[1,2,2,2]=>1101010=>5 [4,6,2,7,3,1,5]=>[4,2,6,1,5,7,3]=>[1,2,3,1]=>1101001=>4 [4,6,2,7,3,5,1]=>[4,2,6,1,5,3,7]=>[1,2,2,2]=>1101010=>5 [4,6,2,7,5,1,3]=>[4,2,6,1,3,7,5]=>[1,2,3,1]=>1101001=>4 [4,6,2,7,5,3,1]=>[4,2,6,1,3,5,7]=>[1,2,4]=>1101000=>3 [4,6,3,1,2,5,7]=>[4,2,5,7,6,3,1]=>[1,3,1,1,1]=>1100111=>2 [4,6,3,1,2,7,5]=>[4,2,5,7,6,1,3]=>[1,3,1,2]=>1100110=>3 [4,6,3,1,5,2,7]=>[4,2,5,7,3,6,1]=>[1,3,2,1]=>1100101=>4 [4,6,3,1,5,7,2]=>[4,2,5,7,3,1,6]=>[1,3,1,2]=>1100110=>3 [4,6,3,1,7,2,5]=>[4,2,5,7,1,6,3]=>[1,3,2,1]=>1100101=>4 [4,6,3,1,7,5,2]=>[4,2,5,7,1,3,6]=>[1,3,3]=>1100100=>3 [4,6,3,2,1,5,7]=>[4,2,5,6,7,3,1]=>[1,4,1,1]=>1100011=>2 [4,6,3,2,1,7,5]=>[4,2,5,6,7,1,3]=>[1,4,2]=>1100010=>3 [4,6,3,2,5,1,7]=>[4,2,5,6,3,7,1]=>[1,3,2,1]=>1100101=>4 [4,6,3,2,5,7,1]=>[4,2,5,6,3,1,7]=>[1,3,1,2]=>1100110=>3 [4,6,3,2,7,1,5]=>[4,2,5,6,1,7,3]=>[1,3,2,1]=>1100101=>4 [4,6,3,2,7,5,1]=>[4,2,5,6,1,3,7]=>[1,3,3]=>1100100=>3 [4,6,3,5,1,2,7]=>[4,2,5,3,7,6,1]=>[1,2,2,1,1]=>1101011=>4 [4,6,3,5,1,7,2]=>[4,2,5,3,7,1,6]=>[1,2,2,2]=>1101010=>5 [4,6,3,5,2,1,7]=>[4,2,5,3,6,7,1]=>[1,2,3,1]=>1101001=>4 [4,6,3,5,2,7,1]=>[4,2,5,3,6,1,7]=>[1,2,2,2]=>1101010=>5 [4,6,3,5,7,1,2]=>[4,2,5,3,1,7,6]=>[1,2,1,2,1]=>1101101=>4 [4,6,3,5,7,2,1]=>[4,2,5,3,1,6,7]=>[1,2,1,3]=>1101100=>3 [4,6,3,7,1,2,5]=>[4,2,5,1,7,6,3]=>[1,2,2,1,1]=>1101011=>4 [4,6,3,7,1,5,2]=>[4,2,5,1,7,3,6]=>[1,2,2,2]=>1101010=>5 [4,6,3,7,2,1,5]=>[4,2,5,1,6,7,3]=>[1,2,3,1]=>1101001=>4 [4,6,3,7,2,5,1]=>[4,2,5,1,6,3,7]=>[1,2,2,2]=>1101010=>5 [4,6,3,7,5,1,2]=>[4,2,5,1,3,7,6]=>[1,2,3,1]=>1101001=>4 [4,6,3,7,5,2,1]=>[4,2,5,1,3,6,7]=>[1,2,4]=>1101000=>3 [4,6,5,1,2,3,7]=>[4,2,3,7,6,5,1]=>[1,3,1,1,1]=>1100111=>2 [4,6,5,1,2,7,3]=>[4,2,3,7,6,1,5]=>[1,3,1,2]=>1100110=>3 [4,6,5,1,3,2,7]=>[4,2,3,7,5,6,1]=>[1,3,2,1]=>1100101=>4 [4,6,5,1,3,7,2]=>[4,2,3,7,5,1,6]=>[1,3,1,2]=>1100110=>3 [4,6,5,1,7,2,3]=>[4,2,3,7,1,6,5]=>[1,3,2,1]=>1100101=>4 [4,6,5,1,7,3,2]=>[4,2,3,7,1,5,6]=>[1,3,3]=>1100100=>3 [4,6,5,2,1,3,7]=>[4,2,3,6,7,5,1]=>[1,4,1,1]=>1100011=>2 [4,6,5,2,1,7,3]=>[4,2,3,6,7,1,5]=>[1,4,2]=>1100010=>3 [4,6,5,2,3,1,7]=>[4,2,3,6,5,7,1]=>[1,3,2,1]=>1100101=>4 [4,6,5,2,3,7,1]=>[4,2,3,6,5,1,7]=>[1,3,1,2]=>1100110=>3 [4,6,5,2,7,1,3]=>[4,2,3,6,1,7,5]=>[1,3,2,1]=>1100101=>4 [4,6,5,2,7,3,1]=>[4,2,3,6,1,5,7]=>[1,3,3]=>1100100=>3 [4,6,5,3,1,2,7]=>[4,2,3,5,7,6,1]=>[1,4,1,1]=>1100011=>2 [4,6,5,3,1,7,2]=>[4,2,3,5,7,1,6]=>[1,4,2]=>1100010=>3 [4,6,5,3,2,1,7]=>[4,2,3,5,6,7,1]=>[1,5,1]=>1100001=>2 [4,6,5,3,2,7,1]=>[4,2,3,5,6,1,7]=>[1,4,2]=>1100010=>3 [4,6,5,3,7,1,2]=>[4,2,3,5,1,7,6]=>[1,3,2,1]=>1100101=>4 [4,6,5,3,7,2,1]=>[4,2,3,5,1,6,7]=>[1,3,3]=>1100100=>3 [4,6,5,7,1,2,3]=>[4,2,3,1,7,6,5]=>[1,2,2,1,1]=>1101011=>4 [4,6,5,7,1,3,2]=>[4,2,3,1,7,5,6]=>[1,2,2,2]=>1101010=>5 [4,6,5,7,2,1,3]=>[4,2,3,1,6,7,5]=>[1,2,3,1]=>1101001=>4 [4,6,5,7,2,3,1]=>[4,2,3,1,6,5,7]=>[1,2,2,2]=>1101010=>5 [4,6,5,7,3,1,2]=>[4,2,3,1,5,7,6]=>[1,2,3,1]=>1101001=>4 [4,6,5,7,3,2,1]=>[4,2,3,1,5,6,7]=>[1,2,4]=>1101000=>3 [4,6,7,1,2,3,5]=>[4,2,1,7,6,5,3]=>[1,1,2,1,1,1]=>1110111=>2 [4,6,7,1,2,5,3]=>[4,2,1,7,6,3,5]=>[1,1,2,1,2]=>1110110=>3 [4,6,7,1,3,2,5]=>[4,2,1,7,5,6,3]=>[1,1,2,2,1]=>1110101=>4 [4,6,7,1,3,5,2]=>[4,2,1,7,5,3,6]=>[1,1,2,1,2]=>1110110=>3 [4,6,7,1,5,2,3]=>[4,2,1,7,3,6,5]=>[1,1,2,2,1]=>1110101=>4 [4,6,7,1,5,3,2]=>[4,2,1,7,3,5,6]=>[1,1,2,3]=>1110100=>3 [4,6,7,2,1,3,5]=>[4,2,1,6,7,5,3]=>[1,1,3,1,1]=>1110011=>2 [4,6,7,2,1,5,3]=>[4,2,1,6,7,3,5]=>[1,1,3,2]=>1110010=>3 [4,6,7,2,3,1,5]=>[4,2,1,6,5,7,3]=>[1,1,2,2,1]=>1110101=>4 [4,6,7,2,3,5,1]=>[4,2,1,6,5,3,7]=>[1,1,2,1,2]=>1110110=>3 [4,6,7,2,5,1,3]=>[4,2,1,6,3,7,5]=>[1,1,2,2,1]=>1110101=>4 [4,6,7,2,5,3,1]=>[4,2,1,6,3,5,7]=>[1,1,2,3]=>1110100=>3 [4,6,7,3,1,2,5]=>[4,2,1,5,7,6,3]=>[1,1,3,1,1]=>1110011=>2 [4,6,7,3,1,5,2]=>[4,2,1,5,7,3,6]=>[1,1,3,2]=>1110010=>3 [4,6,7,3,2,1,5]=>[4,2,1,5,6,7,3]=>[1,1,4,1]=>1110001=>2 [4,6,7,3,2,5,1]=>[4,2,1,5,6,3,7]=>[1,1,3,2]=>1110010=>3 [4,6,7,3,5,1,2]=>[4,2,1,5,3,7,6]=>[1,1,2,2,1]=>1110101=>4 [4,6,7,3,5,2,1]=>[4,2,1,5,3,6,7]=>[1,1,2,3]=>1110100=>3 [4,6,7,5,1,2,3]=>[4,2,1,3,7,6,5]=>[1,1,3,1,1]=>1110011=>2 [4,6,7,5,1,3,2]=>[4,2,1,3,7,5,6]=>[1,1,3,2]=>1110010=>3 [4,6,7,5,2,1,3]=>[4,2,1,3,6,7,5]=>[1,1,4,1]=>1110001=>2 [4,6,7,5,2,3,1]=>[4,2,1,3,6,5,7]=>[1,1,3,2]=>1110010=>3 [4,6,7,5,3,1,2]=>[4,2,1,3,5,7,6]=>[1,1,4,1]=>1110001=>2 [4,6,7,5,3,2,1]=>[4,2,1,3,5,6,7]=>[1,1,5]=>1110000=>1 [4,7,1,2,3,5,6]=>[4,1,7,6,5,3,2]=>[1,2,1,1,1,1]=>1101111=>2 [4,7,1,2,3,6,5]=>[4,1,7,6,5,2,3]=>[1,2,1,1,2]=>1101110=>3 [4,7,1,2,5,3,6]=>[4,1,7,6,3,5,2]=>[1,2,1,2,1]=>1101101=>4 [4,7,1,2,5,6,3]=>[4,1,7,6,3,2,5]=>[1,2,1,1,2]=>1101110=>3 [4,7,1,2,6,3,5]=>[4,1,7,6,2,5,3]=>[1,2,1,2,1]=>1101101=>4 [4,7,1,2,6,5,3]=>[4,1,7,6,2,3,5]=>[1,2,1,3]=>1101100=>3 [4,7,1,3,2,5,6]=>[4,1,7,5,6,3,2]=>[1,2,2,1,1]=>1101011=>4 [4,7,1,3,2,6,5]=>[4,1,7,5,6,2,3]=>[1,2,2,2]=>1101010=>5 [4,7,1,3,5,2,6]=>[4,1,7,5,3,6,2]=>[1,2,1,2,1]=>1101101=>4 [4,7,1,3,5,6,2]=>[4,1,7,5,3,2,6]=>[1,2,1,1,2]=>1101110=>3 [4,7,1,3,6,2,5]=>[4,1,7,5,2,6,3]=>[1,2,1,2,1]=>1101101=>4 [4,7,1,3,6,5,2]=>[4,1,7,5,2,3,6]=>[1,2,1,3]=>1101100=>3 [4,7,1,5,2,3,6]=>[4,1,7,3,6,5,2]=>[1,2,2,1,1]=>1101011=>4 [4,7,1,5,2,6,3]=>[4,1,7,3,6,2,5]=>[1,2,2,2]=>1101010=>5 [4,7,1,5,3,2,6]=>[4,1,7,3,5,6,2]=>[1,2,3,1]=>1101001=>4 [4,7,1,5,3,6,2]=>[4,1,7,3,5,2,6]=>[1,2,2,2]=>1101010=>5 [4,7,1,5,6,2,3]=>[4,1,7,3,2,6,5]=>[1,2,1,2,1]=>1101101=>4 [4,7,1,5,6,3,2]=>[4,1,7,3,2,5,6]=>[1,2,1,3]=>1101100=>3 [4,7,1,6,2,3,5]=>[4,1,7,2,6,5,3]=>[1,2,2,1,1]=>1101011=>4 [4,7,1,6,2,5,3]=>[4,1,7,2,6,3,5]=>[1,2,2,2]=>1101010=>5 [4,7,1,6,3,2,5]=>[4,1,7,2,5,6,3]=>[1,2,3,1]=>1101001=>4 [4,7,1,6,3,5,2]=>[4,1,7,2,5,3,6]=>[1,2,2,2]=>1101010=>5 [4,7,1,6,5,2,3]=>[4,1,7,2,3,6,5]=>[1,2,3,1]=>1101001=>4 [4,7,1,6,5,3,2]=>[4,1,7,2,3,5,6]=>[1,2,4]=>1101000=>3 [4,7,2,1,3,5,6]=>[4,1,6,7,5,3,2]=>[1,3,1,1,1]=>1100111=>2 [4,7,2,1,3,6,5]=>[4,1,6,7,5,2,3]=>[1,3,1,2]=>1100110=>3 [4,7,2,1,5,3,6]=>[4,1,6,7,3,5,2]=>[1,3,2,1]=>1100101=>4 [4,7,2,1,5,6,3]=>[4,1,6,7,3,2,5]=>[1,3,1,2]=>1100110=>3 [4,7,2,1,6,3,5]=>[4,1,6,7,2,5,3]=>[1,3,2,1]=>1100101=>4 [4,7,2,1,6,5,3]=>[4,1,6,7,2,3,5]=>[1,3,3]=>1100100=>3 [4,7,2,3,1,5,6]=>[4,1,6,5,7,3,2]=>[1,2,2,1,1]=>1101011=>4 [4,7,2,3,1,6,5]=>[4,1,6,5,7,2,3]=>[1,2,2,2]=>1101010=>5 [4,7,2,3,5,1,6]=>[4,1,6,5,3,7,2]=>[1,2,1,2,1]=>1101101=>4 [4,7,2,3,5,6,1]=>[4,1,6,5,3,2,7]=>[1,2,1,1,2]=>1101110=>3 [4,7,2,3,6,1,5]=>[4,1,6,5,2,7,3]=>[1,2,1,2,1]=>1101101=>4 [4,7,2,3,6,5,1]=>[4,1,6,5,2,3,7]=>[1,2,1,3]=>1101100=>3 [4,7,2,5,1,3,6]=>[4,1,6,3,7,5,2]=>[1,2,2,1,1]=>1101011=>4 [4,7,2,5,1,6,3]=>[4,1,6,3,7,2,5]=>[1,2,2,2]=>1101010=>5 [4,7,2,5,3,1,6]=>[4,1,6,3,5,7,2]=>[1,2,3,1]=>1101001=>4 [4,7,2,5,3,6,1]=>[4,1,6,3,5,2,7]=>[1,2,2,2]=>1101010=>5 [4,7,2,5,6,1,3]=>[4,1,6,3,2,7,5]=>[1,2,1,2,1]=>1101101=>4 [4,7,2,5,6,3,1]=>[4,1,6,3,2,5,7]=>[1,2,1,3]=>1101100=>3 [4,7,2,6,1,3,5]=>[4,1,6,2,7,5,3]=>[1,2,2,1,1]=>1101011=>4 [4,7,2,6,1,5,3]=>[4,1,6,2,7,3,5]=>[1,2,2,2]=>1101010=>5 [4,7,2,6,3,1,5]=>[4,1,6,2,5,7,3]=>[1,2,3,1]=>1101001=>4 [4,7,2,6,3,5,1]=>[4,1,6,2,5,3,7]=>[1,2,2,2]=>1101010=>5 [4,7,2,6,5,1,3]=>[4,1,6,2,3,7,5]=>[1,2,3,1]=>1101001=>4 [4,7,2,6,5,3,1]=>[4,1,6,2,3,5,7]=>[1,2,4]=>1101000=>3 [4,7,3,1,2,5,6]=>[4,1,5,7,6,3,2]=>[1,3,1,1,1]=>1100111=>2 [4,7,3,1,2,6,5]=>[4,1,5,7,6,2,3]=>[1,3,1,2]=>1100110=>3 [4,7,3,1,5,2,6]=>[4,1,5,7,3,6,2]=>[1,3,2,1]=>1100101=>4 [4,7,3,1,5,6,2]=>[4,1,5,7,3,2,6]=>[1,3,1,2]=>1100110=>3 [4,7,3,1,6,2,5]=>[4,1,5,7,2,6,3]=>[1,3,2,1]=>1100101=>4 [4,7,3,1,6,5,2]=>[4,1,5,7,2,3,6]=>[1,3,3]=>1100100=>3 [4,7,3,2,1,5,6]=>[4,1,5,6,7,3,2]=>[1,4,1,1]=>1100011=>2 [4,7,3,2,1,6,5]=>[4,1,5,6,7,2,3]=>[1,4,2]=>1100010=>3 [4,7,3,2,5,1,6]=>[4,1,5,6,3,7,2]=>[1,3,2,1]=>1100101=>4 [4,7,3,2,5,6,1]=>[4,1,5,6,3,2,7]=>[1,3,1,2]=>1100110=>3 [4,7,3,2,6,1,5]=>[4,1,5,6,2,7,3]=>[1,3,2,1]=>1100101=>4 [4,7,3,2,6,5,1]=>[4,1,5,6,2,3,7]=>[1,3,3]=>1100100=>3 [4,7,3,5,1,2,6]=>[4,1,5,3,7,6,2]=>[1,2,2,1,1]=>1101011=>4 [4,7,3,5,1,6,2]=>[4,1,5,3,7,2,6]=>[1,2,2,2]=>1101010=>5 [4,7,3,5,2,1,6]=>[4,1,5,3,6,7,2]=>[1,2,3,1]=>1101001=>4 [4,7,3,5,2,6,1]=>[4,1,5,3,6,2,7]=>[1,2,2,2]=>1101010=>5 [4,7,3,5,6,1,2]=>[4,1,5,3,2,7,6]=>[1,2,1,2,1]=>1101101=>4 [4,7,3,5,6,2,1]=>[4,1,5,3,2,6,7]=>[1,2,1,3]=>1101100=>3 [4,7,3,6,1,2,5]=>[4,1,5,2,7,6,3]=>[1,2,2,1,1]=>1101011=>4 [4,7,3,6,1,5,2]=>[4,1,5,2,7,3,6]=>[1,2,2,2]=>1101010=>5 [4,7,3,6,2,1,5]=>[4,1,5,2,6,7,3]=>[1,2,3,1]=>1101001=>4 [4,7,3,6,2,5,1]=>[4,1,5,2,6,3,7]=>[1,2,2,2]=>1101010=>5 [4,7,3,6,5,1,2]=>[4,1,5,2,3,7,6]=>[1,2,3,1]=>1101001=>4 [4,7,3,6,5,2,1]=>[4,1,5,2,3,6,7]=>[1,2,4]=>1101000=>3 [4,7,5,1,2,3,6]=>[4,1,3,7,6,5,2]=>[1,3,1,1,1]=>1100111=>2 [4,7,5,1,2,6,3]=>[4,1,3,7,6,2,5]=>[1,3,1,2]=>1100110=>3 [4,7,5,1,3,2,6]=>[4,1,3,7,5,6,2]=>[1,3,2,1]=>1100101=>4 [4,7,5,1,3,6,2]=>[4,1,3,7,5,2,6]=>[1,3,1,2]=>1100110=>3 [4,7,5,1,6,2,3]=>[4,1,3,7,2,6,5]=>[1,3,2,1]=>1100101=>4 [4,7,5,1,6,3,2]=>[4,1,3,7,2,5,6]=>[1,3,3]=>1100100=>3 [4,7,5,2,1,3,6]=>[4,1,3,6,7,5,2]=>[1,4,1,1]=>1100011=>2 [4,7,5,2,1,6,3]=>[4,1,3,6,7,2,5]=>[1,4,2]=>1100010=>3 [4,7,5,2,3,1,6]=>[4,1,3,6,5,7,2]=>[1,3,2,1]=>1100101=>4 [4,7,5,2,3,6,1]=>[4,1,3,6,5,2,7]=>[1,3,1,2]=>1100110=>3 [4,7,5,2,6,1,3]=>[4,1,3,6,2,7,5]=>[1,3,2,1]=>1100101=>4 [4,7,5,2,6,3,1]=>[4,1,3,6,2,5,7]=>[1,3,3]=>1100100=>3 [4,7,5,3,1,2,6]=>[4,1,3,5,7,6,2]=>[1,4,1,1]=>1100011=>2 [4,7,5,3,1,6,2]=>[4,1,3,5,7,2,6]=>[1,4,2]=>1100010=>3 [4,7,5,3,2,1,6]=>[4,1,3,5,6,7,2]=>[1,5,1]=>1100001=>2 [4,7,5,3,2,6,1]=>[4,1,3,5,6,2,7]=>[1,4,2]=>1100010=>3 [4,7,5,3,6,1,2]=>[4,1,3,5,2,7,6]=>[1,3,2,1]=>1100101=>4 [4,7,5,3,6,2,1]=>[4,1,3,5,2,6,7]=>[1,3,3]=>1100100=>3 [4,7,5,6,1,2,3]=>[4,1,3,2,7,6,5]=>[1,2,2,1,1]=>1101011=>4 [4,7,5,6,1,3,2]=>[4,1,3,2,7,5,6]=>[1,2,2,2]=>1101010=>5 [4,7,5,6,2,1,3]=>[4,1,3,2,6,7,5]=>[1,2,3,1]=>1101001=>4 [4,7,5,6,2,3,1]=>[4,1,3,2,6,5,7]=>[1,2,2,2]=>1101010=>5 [4,7,5,6,3,1,2]=>[4,1,3,2,5,7,6]=>[1,2,3,1]=>1101001=>4 [4,7,5,6,3,2,1]=>[4,1,3,2,5,6,7]=>[1,2,4]=>1101000=>3 [4,7,6,1,2,3,5]=>[4,1,2,7,6,5,3]=>[1,3,1,1,1]=>1100111=>2 [4,7,6,1,2,5,3]=>[4,1,2,7,6,3,5]=>[1,3,1,2]=>1100110=>3 [4,7,6,1,3,2,5]=>[4,1,2,7,5,6,3]=>[1,3,2,1]=>1100101=>4 [4,7,6,1,3,5,2]=>[4,1,2,7,5,3,6]=>[1,3,1,2]=>1100110=>3 [4,7,6,1,5,2,3]=>[4,1,2,7,3,6,5]=>[1,3,2,1]=>1100101=>4 [4,7,6,1,5,3,2]=>[4,1,2,7,3,5,6]=>[1,3,3]=>1100100=>3 [4,7,6,2,1,3,5]=>[4,1,2,6,7,5,3]=>[1,4,1,1]=>1100011=>2 [4,7,6,2,1,5,3]=>[4,1,2,6,7,3,5]=>[1,4,2]=>1100010=>3 [4,7,6,2,3,1,5]=>[4,1,2,6,5,7,3]=>[1,3,2,1]=>1100101=>4 [4,7,6,2,3,5,1]=>[4,1,2,6,5,3,7]=>[1,3,1,2]=>1100110=>3 [4,7,6,2,5,1,3]=>[4,1,2,6,3,7,5]=>[1,3,2,1]=>1100101=>4 [4,7,6,2,5,3,1]=>[4,1,2,6,3,5,7]=>[1,3,3]=>1100100=>3 [4,7,6,3,1,2,5]=>[4,1,2,5,7,6,3]=>[1,4,1,1]=>1100011=>2 [4,7,6,3,1,5,2]=>[4,1,2,5,7,3,6]=>[1,4,2]=>1100010=>3 [4,7,6,3,2,1,5]=>[4,1,2,5,6,7,3]=>[1,5,1]=>1100001=>2 [4,7,6,3,2,5,1]=>[4,1,2,5,6,3,7]=>[1,4,2]=>1100010=>3 [4,7,6,3,5,1,2]=>[4,1,2,5,3,7,6]=>[1,3,2,1]=>1100101=>4 [4,7,6,3,5,2,1]=>[4,1,2,5,3,6,7]=>[1,3,3]=>1100100=>3 [4,7,6,5,1,2,3]=>[4,1,2,3,7,6,5]=>[1,4,1,1]=>1100011=>2 [4,7,6,5,1,3,2]=>[4,1,2,3,7,5,6]=>[1,4,2]=>1100010=>3 [4,7,6,5,2,1,3]=>[4,1,2,3,6,7,5]=>[1,5,1]=>1100001=>2 [4,7,6,5,2,3,1]=>[4,1,2,3,6,5,7]=>[1,4,2]=>1100010=>3 [4,7,6,5,3,1,2]=>[4,1,2,3,5,7,6]=>[1,5,1]=>1100001=>2 [4,7,6,5,3,2,1]=>[4,1,2,3,5,6,7]=>[1,6]=>1100000=>1 [5,1,2,3,4,6,7]=>[3,7,6,5,4,2,1]=>[2,1,1,1,1,1]=>1011111=>2 [5,1,2,3,4,7,6]=>[3,7,6,5,4,1,2]=>[2,1,1,1,2]=>1011110=>3 [5,1,2,3,6,4,7]=>[3,7,6,5,2,4,1]=>[2,1,1,2,1]=>1011101=>4 [5,1,2,3,6,7,4]=>[3,7,6,5,2,1,4]=>[2,1,1,1,2]=>1011110=>3 [5,1,2,3,7,4,6]=>[3,7,6,5,1,4,2]=>[2,1,1,2,1]=>1011101=>4 [5,1,2,3,7,6,4]=>[3,7,6,5,1,2,4]=>[2,1,1,3]=>1011100=>3 [5,1,2,4,3,6,7]=>[3,7,6,4,5,2,1]=>[2,1,2,1,1]=>1011011=>4 [5,1,2,4,3,7,6]=>[3,7,6,4,5,1,2]=>[2,1,2,2]=>1011010=>5 [5,1,2,4,6,3,7]=>[3,7,6,4,2,5,1]=>[2,1,1,2,1]=>1011101=>4 [5,1,2,4,6,7,3]=>[3,7,6,4,2,1,5]=>[2,1,1,1,2]=>1011110=>3 [5,1,2,4,7,3,6]=>[3,7,6,4,1,5,2]=>[2,1,1,2,1]=>1011101=>4 [5,1,2,4,7,6,3]=>[3,7,6,4,1,2,5]=>[2,1,1,3]=>1011100=>3 [5,1,2,6,3,4,7]=>[3,7,6,2,5,4,1]=>[2,1,2,1,1]=>1011011=>4 [5,1,2,6,3,7,4]=>[3,7,6,2,5,1,4]=>[2,1,2,2]=>1011010=>5 [5,1,2,6,4,3,7]=>[3,7,6,2,4,5,1]=>[2,1,3,1]=>1011001=>4 [5,1,2,6,4,7,3]=>[3,7,6,2,4,1,5]=>[2,1,2,2]=>1011010=>5 [5,1,2,6,7,3,4]=>[3,7,6,2,1,5,4]=>[2,1,1,2,1]=>1011101=>4 [5,1,2,6,7,4,3]=>[3,7,6,2,1,4,5]=>[2,1,1,3]=>1011100=>3 [5,1,2,7,3,4,6]=>[3,7,6,1,5,4,2]=>[2,1,2,1,1]=>1011011=>4 [5,1,2,7,3,6,4]=>[3,7,6,1,5,2,4]=>[2,1,2,2]=>1011010=>5 [5,1,2,7,4,3,6]=>[3,7,6,1,4,5,2]=>[2,1,3,1]=>1011001=>4 [5,1,2,7,4,6,3]=>[3,7,6,1,4,2,5]=>[2,1,2,2]=>1011010=>5 [5,1,2,7,6,3,4]=>[3,7,6,1,2,5,4]=>[2,1,3,1]=>1011001=>4 [5,1,2,7,6,4,3]=>[3,7,6,1,2,4,5]=>[2,1,4]=>1011000=>3 [5,1,3,2,4,6,7]=>[3,7,5,6,4,2,1]=>[2,2,1,1,1]=>1010111=>4 [5,1,3,2,4,7,6]=>[3,7,5,6,4,1,2]=>[2,2,1,2]=>1010110=>5 [5,1,3,2,6,4,7]=>[3,7,5,6,2,4,1]=>[2,2,2,1]=>1010101=>6 [5,1,3,2,6,7,4]=>[3,7,5,6,2,1,4]=>[2,2,1,2]=>1010110=>5 [5,1,3,2,7,4,6]=>[3,7,5,6,1,4,2]=>[2,2,2,1]=>1010101=>6 [5,1,3,2,7,6,4]=>[3,7,5,6,1,2,4]=>[2,2,3]=>1010100=>5 [5,1,3,4,2,6,7]=>[3,7,5,4,6,2,1]=>[2,1,2,1,1]=>1011011=>4 [5,1,3,4,2,7,6]=>[3,7,5,4,6,1,2]=>[2,1,2,2]=>1011010=>5 [5,1,3,4,6,2,7]=>[3,7,5,4,2,6,1]=>[2,1,1,2,1]=>1011101=>4 [5,1,3,4,6,7,2]=>[3,7,5,4,2,1,6]=>[2,1,1,1,2]=>1011110=>3 [5,1,3,4,7,2,6]=>[3,7,5,4,1,6,2]=>[2,1,1,2,1]=>1011101=>4 [5,1,3,4,7,6,2]=>[3,7,5,4,1,2,6]=>[2,1,1,3]=>1011100=>3 [5,1,3,6,2,4,7]=>[3,7,5,2,6,4,1]=>[2,1,2,1,1]=>1011011=>4 [5,1,3,6,2,7,4]=>[3,7,5,2,6,1,4]=>[2,1,2,2]=>1011010=>5 [5,1,3,6,4,2,7]=>[3,7,5,2,4,6,1]=>[2,1,3,1]=>1011001=>4 [5,1,3,6,4,7,2]=>[3,7,5,2,4,1,6]=>[2,1,2,2]=>1011010=>5 [5,1,3,6,7,2,4]=>[3,7,5,2,1,6,4]=>[2,1,1,2,1]=>1011101=>4 [5,1,3,6,7,4,2]=>[3,7,5,2,1,4,6]=>[2,1,1,3]=>1011100=>3 [5,1,3,7,2,4,6]=>[3,7,5,1,6,4,2]=>[2,1,2,1,1]=>1011011=>4 [5,1,3,7,2,6,4]=>[3,7,5,1,6,2,4]=>[2,1,2,2]=>1011010=>5 [5,1,3,7,4,2,6]=>[3,7,5,1,4,6,2]=>[2,1,3,1]=>1011001=>4 [5,1,3,7,4,6,2]=>[3,7,5,1,4,2,6]=>[2,1,2,2]=>1011010=>5 [5,1,3,7,6,2,4]=>[3,7,5,1,2,6,4]=>[2,1,3,1]=>1011001=>4 [5,1,3,7,6,4,2]=>[3,7,5,1,2,4,6]=>[2,1,4]=>1011000=>3 [5,1,4,2,3,6,7]=>[3,7,4,6,5,2,1]=>[2,2,1,1,1]=>1010111=>4 [5,1,4,2,3,7,6]=>[3,7,4,6,5,1,2]=>[2,2,1,2]=>1010110=>5 [5,1,4,2,6,3,7]=>[3,7,4,6,2,5,1]=>[2,2,2,1]=>1010101=>6 [5,1,4,2,6,7,3]=>[3,7,4,6,2,1,5]=>[2,2,1,2]=>1010110=>5 [5,1,4,2,7,3,6]=>[3,7,4,6,1,5,2]=>[2,2,2,1]=>1010101=>6 [5,1,4,2,7,6,3]=>[3,7,4,6,1,2,5]=>[2,2,3]=>1010100=>5 [5,1,4,3,2,6,7]=>[3,7,4,5,6,2,1]=>[2,3,1,1]=>1010011=>4 [5,1,4,3,2,7,6]=>[3,7,4,5,6,1,2]=>[2,3,2]=>1010010=>5 [5,1,4,3,6,2,7]=>[3,7,4,5,2,6,1]=>[2,2,2,1]=>1010101=>6 [5,1,4,3,6,7,2]=>[3,7,4,5,2,1,6]=>[2,2,1,2]=>1010110=>5 [5,1,4,3,7,2,6]=>[3,7,4,5,1,6,2]=>[2,2,2,1]=>1010101=>6 [5,1,4,3,7,6,2]=>[3,7,4,5,1,2,6]=>[2,2,3]=>1010100=>5 [5,1,4,6,2,3,7]=>[3,7,4,2,6,5,1]=>[2,1,2,1,1]=>1011011=>4 [5,1,4,6,2,7,3]=>[3,7,4,2,6,1,5]=>[2,1,2,2]=>1011010=>5 [5,1,4,6,3,2,7]=>[3,7,4,2,5,6,1]=>[2,1,3,1]=>1011001=>4 [5,1,4,6,3,7,2]=>[3,7,4,2,5,1,6]=>[2,1,2,2]=>1011010=>5 [5,1,4,6,7,2,3]=>[3,7,4,2,1,6,5]=>[2,1,1,2,1]=>1011101=>4 [5,1,4,6,7,3,2]=>[3,7,4,2,1,5,6]=>[2,1,1,3]=>1011100=>3 [5,1,4,7,2,3,6]=>[3,7,4,1,6,5,2]=>[2,1,2,1,1]=>1011011=>4 [5,1,4,7,2,6,3]=>[3,7,4,1,6,2,5]=>[2,1,2,2]=>1011010=>5 [5,1,4,7,3,2,6]=>[3,7,4,1,5,6,2]=>[2,1,3,1]=>1011001=>4 [5,1,4,7,3,6,2]=>[3,7,4,1,5,2,6]=>[2,1,2,2]=>1011010=>5 [5,1,4,7,6,2,3]=>[3,7,4,1,2,6,5]=>[2,1,3,1]=>1011001=>4 [5,1,4,7,6,3,2]=>[3,7,4,1,2,5,6]=>[2,1,4]=>1011000=>3 [5,1,6,2,3,4,7]=>[3,7,2,6,5,4,1]=>[2,2,1,1,1]=>1010111=>4 [5,1,6,2,3,7,4]=>[3,7,2,6,5,1,4]=>[2,2,1,2]=>1010110=>5 [5,1,6,2,4,3,7]=>[3,7,2,6,4,5,1]=>[2,2,2,1]=>1010101=>6 [5,1,6,2,4,7,3]=>[3,7,2,6,4,1,5]=>[2,2,1,2]=>1010110=>5 [5,1,6,2,7,3,4]=>[3,7,2,6,1,5,4]=>[2,2,2,1]=>1010101=>6 [5,1,6,2,7,4,3]=>[3,7,2,6,1,4,5]=>[2,2,3]=>1010100=>5 [5,1,6,3,2,4,7]=>[3,7,2,5,6,4,1]=>[2,3,1,1]=>1010011=>4 [5,1,6,3,2,7,4]=>[3,7,2,5,6,1,4]=>[2,3,2]=>1010010=>5 [5,1,6,3,4,2,7]=>[3,7,2,5,4,6,1]=>[2,2,2,1]=>1010101=>6 [5,1,6,3,4,7,2]=>[3,7,2,5,4,1,6]=>[2,2,1,2]=>1010110=>5 [5,1,6,3,7,2,4]=>[3,7,2,5,1,6,4]=>[2,2,2,1]=>1010101=>6 [5,1,6,3,7,4,2]=>[3,7,2,5,1,4,6]=>[2,2,3]=>1010100=>5 [5,1,6,4,2,3,7]=>[3,7,2,4,6,5,1]=>[2,3,1,1]=>1010011=>4 [5,1,6,4,2,7,3]=>[3,7,2,4,6,1,5]=>[2,3,2]=>1010010=>5 [5,1,6,4,3,2,7]=>[3,7,2,4,5,6,1]=>[2,4,1]=>1010001=>4 [5,1,6,4,3,7,2]=>[3,7,2,4,5,1,6]=>[2,3,2]=>1010010=>5 [5,1,6,4,7,2,3]=>[3,7,2,4,1,6,5]=>[2,2,2,1]=>1010101=>6 [5,1,6,4,7,3,2]=>[3,7,2,4,1,5,6]=>[2,2,3]=>1010100=>5 [5,1,6,7,2,3,4]=>[3,7,2,1,6,5,4]=>[2,1,2,1,1]=>1011011=>4 [5,1,6,7,2,4,3]=>[3,7,2,1,6,4,5]=>[2,1,2,2]=>1011010=>5 [5,1,6,7,3,2,4]=>[3,7,2,1,5,6,4]=>[2,1,3,1]=>1011001=>4 [5,1,6,7,3,4,2]=>[3,7,2,1,5,4,6]=>[2,1,2,2]=>1011010=>5 [5,1,6,7,4,2,3]=>[3,7,2,1,4,6,5]=>[2,1,3,1]=>1011001=>4 [5,1,6,7,4,3,2]=>[3,7,2,1,4,5,6]=>[2,1,4]=>1011000=>3 [5,1,7,2,3,4,6]=>[3,7,1,6,5,4,2]=>[2,2,1,1,1]=>1010111=>4 [5,1,7,2,3,6,4]=>[3,7,1,6,5,2,4]=>[2,2,1,2]=>1010110=>5 [5,1,7,2,4,3,6]=>[3,7,1,6,4,5,2]=>[2,2,2,1]=>1010101=>6 [5,1,7,2,4,6,3]=>[3,7,1,6,4,2,5]=>[2,2,1,2]=>1010110=>5 [5,1,7,2,6,3,4]=>[3,7,1,6,2,5,4]=>[2,2,2,1]=>1010101=>6 [5,1,7,2,6,4,3]=>[3,7,1,6,2,4,5]=>[2,2,3]=>1010100=>5 [5,1,7,3,2,4,6]=>[3,7,1,5,6,4,2]=>[2,3,1,1]=>1010011=>4 [5,1,7,3,2,6,4]=>[3,7,1,5,6,2,4]=>[2,3,2]=>1010010=>5 [5,1,7,3,4,2,6]=>[3,7,1,5,4,6,2]=>[2,2,2,1]=>1010101=>6 [5,1,7,3,4,6,2]=>[3,7,1,5,4,2,6]=>[2,2,1,2]=>1010110=>5 [5,1,7,3,6,2,4]=>[3,7,1,5,2,6,4]=>[2,2,2,1]=>1010101=>6 [5,1,7,3,6,4,2]=>[3,7,1,5,2,4,6]=>[2,2,3]=>1010100=>5 [5,1,7,4,2,3,6]=>[3,7,1,4,6,5,2]=>[2,3,1,1]=>1010011=>4 [5,1,7,4,2,6,3]=>[3,7,1,4,6,2,5]=>[2,3,2]=>1010010=>5 [5,1,7,4,3,2,6]=>[3,7,1,4,5,6,2]=>[2,4,1]=>1010001=>4 [5,1,7,4,3,6,2]=>[3,7,1,4,5,2,6]=>[2,3,2]=>1010010=>5 [5,1,7,4,6,2,3]=>[3,7,1,4,2,6,5]=>[2,2,2,1]=>1010101=>6 [5,1,7,4,6,3,2]=>[3,7,1,4,2,5,6]=>[2,2,3]=>1010100=>5 [5,1,7,6,2,3,4]=>[3,7,1,2,6,5,4]=>[2,3,1,1]=>1010011=>4 [5,1,7,6,2,4,3]=>[3,7,1,2,6,4,5]=>[2,3,2]=>1010010=>5 [5,1,7,6,3,2,4]=>[3,7,1,2,5,6,4]=>[2,4,1]=>1010001=>4 [5,1,7,6,3,4,2]=>[3,7,1,2,5,4,6]=>[2,3,2]=>1010010=>5 [5,1,7,6,4,2,3]=>[3,7,1,2,4,6,5]=>[2,4,1]=>1010001=>4 [5,1,7,6,4,3,2]=>[3,7,1,2,4,5,6]=>[2,5]=>1010000=>3 [5,2,1,3,4,6,7]=>[3,6,7,5,4,2,1]=>[3,1,1,1,1]=>1001111=>2 [5,2,1,3,4,7,6]=>[3,6,7,5,4,1,2]=>[3,1,1,2]=>1001110=>3 [5,2,1,3,6,4,7]=>[3,6,7,5,2,4,1]=>[3,1,2,1]=>1001101=>4 [5,2,1,3,6,7,4]=>[3,6,7,5,2,1,4]=>[3,1,1,2]=>1001110=>3 [5,2,1,3,7,4,6]=>[3,6,7,5,1,4,2]=>[3,1,2,1]=>1001101=>4 [5,2,1,3,7,6,4]=>[3,6,7,5,1,2,4]=>[3,1,3]=>1001100=>3 [5,2,1,4,3,6,7]=>[3,6,7,4,5,2,1]=>[3,2,1,1]=>1001011=>4 [5,2,1,4,3,7,6]=>[3,6,7,4,5,1,2]=>[3,2,2]=>1001010=>5 [5,2,1,4,6,3,7]=>[3,6,7,4,2,5,1]=>[3,1,2,1]=>1001101=>4 [5,2,1,4,6,7,3]=>[3,6,7,4,2,1,5]=>[3,1,1,2]=>1001110=>3 [5,2,1,4,7,3,6]=>[3,6,7,4,1,5,2]=>[3,1,2,1]=>1001101=>4 [5,2,1,4,7,6,3]=>[3,6,7,4,1,2,5]=>[3,1,3]=>1001100=>3 [5,2,1,6,3,4,7]=>[3,6,7,2,5,4,1]=>[3,2,1,1]=>1001011=>4 [5,2,1,6,3,7,4]=>[3,6,7,2,5,1,4]=>[3,2,2]=>1001010=>5 [5,2,1,6,4,3,7]=>[3,6,7,2,4,5,1]=>[3,3,1]=>1001001=>4 [5,2,1,6,4,7,3]=>[3,6,7,2,4,1,5]=>[3,2,2]=>1001010=>5 [5,2,1,6,7,3,4]=>[3,6,7,2,1,5,4]=>[3,1,2,1]=>1001101=>4 [5,2,1,6,7,4,3]=>[3,6,7,2,1,4,5]=>[3,1,3]=>1001100=>3 [5,2,1,7,3,4,6]=>[3,6,7,1,5,4,2]=>[3,2,1,1]=>1001011=>4 [5,2,1,7,3,6,4]=>[3,6,7,1,5,2,4]=>[3,2,2]=>1001010=>5 [5,2,1,7,4,3,6]=>[3,6,7,1,4,5,2]=>[3,3,1]=>1001001=>4 [5,2,1,7,4,6,3]=>[3,6,7,1,4,2,5]=>[3,2,2]=>1001010=>5 [5,2,1,7,6,3,4]=>[3,6,7,1,2,5,4]=>[3,3,1]=>1001001=>4 [5,2,1,7,6,4,3]=>[3,6,7,1,2,4,5]=>[3,4]=>1001000=>3 [5,2,3,1,4,6,7]=>[3,6,5,7,4,2,1]=>[2,2,1,1,1]=>1010111=>4 [5,2,3,1,4,7,6]=>[3,6,5,7,4,1,2]=>[2,2,1,2]=>1010110=>5 [5,2,3,1,6,4,7]=>[3,6,5,7,2,4,1]=>[2,2,2,1]=>1010101=>6 [5,2,3,1,6,7,4]=>[3,6,5,7,2,1,4]=>[2,2,1,2]=>1010110=>5 [5,2,3,1,7,4,6]=>[3,6,5,7,1,4,2]=>[2,2,2,1]=>1010101=>6 [5,2,3,1,7,6,4]=>[3,6,5,7,1,2,4]=>[2,2,3]=>1010100=>5 [5,2,3,4,1,6,7]=>[3,6,5,4,7,2,1]=>[2,1,2,1,1]=>1011011=>4 [5,2,3,4,1,7,6]=>[3,6,5,4,7,1,2]=>[2,1,2,2]=>1011010=>5 [5,2,3,4,6,1,7]=>[3,6,5,4,2,7,1]=>[2,1,1,2,1]=>1011101=>4 [5,2,3,4,6,7,1]=>[3,6,5,4,2,1,7]=>[2,1,1,1,2]=>1011110=>3 [5,2,3,4,7,1,6]=>[3,6,5,4,1,7,2]=>[2,1,1,2,1]=>1011101=>4 [5,2,3,4,7,6,1]=>[3,6,5,4,1,2,7]=>[2,1,1,3]=>1011100=>3 [5,2,3,6,1,4,7]=>[3,6,5,2,7,4,1]=>[2,1,2,1,1]=>1011011=>4 [5,2,3,6,1,7,4]=>[3,6,5,2,7,1,4]=>[2,1,2,2]=>1011010=>5 [5,2,3,6,4,1,7]=>[3,6,5,2,4,7,1]=>[2,1,3,1]=>1011001=>4 [5,2,3,6,4,7,1]=>[3,6,5,2,4,1,7]=>[2,1,2,2]=>1011010=>5 [5,2,3,6,7,1,4]=>[3,6,5,2,1,7,4]=>[2,1,1,2,1]=>1011101=>4 [5,2,3,6,7,4,1]=>[3,6,5,2,1,4,7]=>[2,1,1,3]=>1011100=>3 [5,2,3,7,1,4,6]=>[3,6,5,1,7,4,2]=>[2,1,2,1,1]=>1011011=>4 [5,2,3,7,1,6,4]=>[3,6,5,1,7,2,4]=>[2,1,2,2]=>1011010=>5 [5,2,3,7,4,1,6]=>[3,6,5,1,4,7,2]=>[2,1,3,1]=>1011001=>4 [5,2,3,7,4,6,1]=>[3,6,5,1,4,2,7]=>[2,1,2,2]=>1011010=>5 [5,2,3,7,6,1,4]=>[3,6,5,1,2,7,4]=>[2,1,3,1]=>1011001=>4 [5,2,3,7,6,4,1]=>[3,6,5,1,2,4,7]=>[2,1,4]=>1011000=>3 [5,2,4,1,3,6,7]=>[3,6,4,7,5,2,1]=>[2,2,1,1,1]=>1010111=>4 [5,2,4,1,3,7,6]=>[3,6,4,7,5,1,2]=>[2,2,1,2]=>1010110=>5 [5,2,4,1,6,3,7]=>[3,6,4,7,2,5,1]=>[2,2,2,1]=>1010101=>6 [5,2,4,1,6,7,3]=>[3,6,4,7,2,1,5]=>[2,2,1,2]=>1010110=>5 [5,2,4,1,7,3,6]=>[3,6,4,7,1,5,2]=>[2,2,2,1]=>1010101=>6 [5,2,4,1,7,6,3]=>[3,6,4,7,1,2,5]=>[2,2,3]=>1010100=>5 [5,2,4,3,1,6,7]=>[3,6,4,5,7,2,1]=>[2,3,1,1]=>1010011=>4 [5,2,4,3,1,7,6]=>[3,6,4,5,7,1,2]=>[2,3,2]=>1010010=>5 [5,2,4,3,6,1,7]=>[3,6,4,5,2,7,1]=>[2,2,2,1]=>1010101=>6 [5,2,4,3,6,7,1]=>[3,6,4,5,2,1,7]=>[2,2,1,2]=>1010110=>5 [5,2,4,3,7,1,6]=>[3,6,4,5,1,7,2]=>[2,2,2,1]=>1010101=>6 [5,2,4,3,7,6,1]=>[3,6,4,5,1,2,7]=>[2,2,3]=>1010100=>5 [5,2,4,6,1,3,7]=>[3,6,4,2,7,5,1]=>[2,1,2,1,1]=>1011011=>4 [5,2,4,6,1,7,3]=>[3,6,4,2,7,1,5]=>[2,1,2,2]=>1011010=>5 [5,2,4,6,3,1,7]=>[3,6,4,2,5,7,1]=>[2,1,3,1]=>1011001=>4 [5,2,4,6,3,7,1]=>[3,6,4,2,5,1,7]=>[2,1,2,2]=>1011010=>5 [5,2,4,6,7,1,3]=>[3,6,4,2,1,7,5]=>[2,1,1,2,1]=>1011101=>4 [5,2,4,6,7,3,1]=>[3,6,4,2,1,5,7]=>[2,1,1,3]=>1011100=>3 [5,2,4,7,1,3,6]=>[3,6,4,1,7,5,2]=>[2,1,2,1,1]=>1011011=>4 [5,2,4,7,1,6,3]=>[3,6,4,1,7,2,5]=>[2,1,2,2]=>1011010=>5 [5,2,4,7,3,1,6]=>[3,6,4,1,5,7,2]=>[2,1,3,1]=>1011001=>4 [5,2,4,7,3,6,1]=>[3,6,4,1,5,2,7]=>[2,1,2,2]=>1011010=>5 [5,2,4,7,6,1,3]=>[3,6,4,1,2,7,5]=>[2,1,3,1]=>1011001=>4 [5,2,4,7,6,3,1]=>[3,6,4,1,2,5,7]=>[2,1,4]=>1011000=>3 [5,2,6,1,3,4,7]=>[3,6,2,7,5,4,1]=>[2,2,1,1,1]=>1010111=>4 [5,2,6,1,3,7,4]=>[3,6,2,7,5,1,4]=>[2,2,1,2]=>1010110=>5 [5,2,6,1,4,3,7]=>[3,6,2,7,4,5,1]=>[2,2,2,1]=>1010101=>6 [5,2,6,1,4,7,3]=>[3,6,2,7,4,1,5]=>[2,2,1,2]=>1010110=>5 [5,2,6,1,7,3,4]=>[3,6,2,7,1,5,4]=>[2,2,2,1]=>1010101=>6 [5,2,6,1,7,4,3]=>[3,6,2,7,1,4,5]=>[2,2,3]=>1010100=>5 [5,2,6,3,1,4,7]=>[3,6,2,5,7,4,1]=>[2,3,1,1]=>1010011=>4 [5,2,6,3,1,7,4]=>[3,6,2,5,7,1,4]=>[2,3,2]=>1010010=>5 [5,2,6,3,4,1,7]=>[3,6,2,5,4,7,1]=>[2,2,2,1]=>1010101=>6 [5,2,6,3,4,7,1]=>[3,6,2,5,4,1,7]=>[2,2,1,2]=>1010110=>5 [5,2,6,3,7,1,4]=>[3,6,2,5,1,7,4]=>[2,2,2,1]=>1010101=>6 [5,2,6,3,7,4,1]=>[3,6,2,5,1,4,7]=>[2,2,3]=>1010100=>5 [5,2,6,4,1,3,7]=>[3,6,2,4,7,5,1]=>[2,3,1,1]=>1010011=>4 [5,2,6,4,1,7,3]=>[3,6,2,4,7,1,5]=>[2,3,2]=>1010010=>5 [5,2,6,4,3,1,7]=>[3,6,2,4,5,7,1]=>[2,4,1]=>1010001=>4 [5,2,6,4,3,7,1]=>[3,6,2,4,5,1,7]=>[2,3,2]=>1010010=>5 [5,2,6,4,7,1,3]=>[3,6,2,4,1,7,5]=>[2,2,2,1]=>1010101=>6 [5,2,6,4,7,3,1]=>[3,6,2,4,1,5,7]=>[2,2,3]=>1010100=>5 [5,2,6,7,1,3,4]=>[3,6,2,1,7,5,4]=>[2,1,2,1,1]=>1011011=>4 [5,2,6,7,1,4,3]=>[3,6,2,1,7,4,5]=>[2,1,2,2]=>1011010=>5 [5,2,6,7,3,1,4]=>[3,6,2,1,5,7,4]=>[2,1,3,1]=>1011001=>4 [5,2,6,7,3,4,1]=>[3,6,2,1,5,4,7]=>[2,1,2,2]=>1011010=>5 [5,2,6,7,4,1,3]=>[3,6,2,1,4,7,5]=>[2,1,3,1]=>1011001=>4 [5,2,6,7,4,3,1]=>[3,6,2,1,4,5,7]=>[2,1,4]=>1011000=>3 [5,2,7,1,3,4,6]=>[3,6,1,7,5,4,2]=>[2,2,1,1,1]=>1010111=>4 [5,2,7,1,3,6,4]=>[3,6,1,7,5,2,4]=>[2,2,1,2]=>1010110=>5 [5,2,7,1,4,3,6]=>[3,6,1,7,4,5,2]=>[2,2,2,1]=>1010101=>6 [5,2,7,1,4,6,3]=>[3,6,1,7,4,2,5]=>[2,2,1,2]=>1010110=>5 [5,2,7,1,6,3,4]=>[3,6,1,7,2,5,4]=>[2,2,2,1]=>1010101=>6 [5,2,7,1,6,4,3]=>[3,6,1,7,2,4,5]=>[2,2,3]=>1010100=>5 [5,2,7,3,1,4,6]=>[3,6,1,5,7,4,2]=>[2,3,1,1]=>1010011=>4 [5,2,7,3,1,6,4]=>[3,6,1,5,7,2,4]=>[2,3,2]=>1010010=>5 [5,2,7,3,4,1,6]=>[3,6,1,5,4,7,2]=>[2,2,2,1]=>1010101=>6 [5,2,7,3,4,6,1]=>[3,6,1,5,4,2,7]=>[2,2,1,2]=>1010110=>5 [5,2,7,3,6,1,4]=>[3,6,1,5,2,7,4]=>[2,2,2,1]=>1010101=>6 [5,2,7,3,6,4,1]=>[3,6,1,5,2,4,7]=>[2,2,3]=>1010100=>5 [5,2,7,4,1,3,6]=>[3,6,1,4,7,5,2]=>[2,3,1,1]=>1010011=>4 [5,2,7,4,1,6,3]=>[3,6,1,4,7,2,5]=>[2,3,2]=>1010010=>5 [5,2,7,4,3,1,6]=>[3,6,1,4,5,7,2]=>[2,4,1]=>1010001=>4 [5,2,7,4,3,6,1]=>[3,6,1,4,5,2,7]=>[2,3,2]=>1010010=>5 [5,2,7,4,6,1,3]=>[3,6,1,4,2,7,5]=>[2,2,2,1]=>1010101=>6 [5,2,7,4,6,3,1]=>[3,6,1,4,2,5,7]=>[2,2,3]=>1010100=>5 [5,2,7,6,1,3,4]=>[3,6,1,2,7,5,4]=>[2,3,1,1]=>1010011=>4 [5,2,7,6,1,4,3]=>[3,6,1,2,7,4,5]=>[2,3,2]=>1010010=>5 [5,2,7,6,3,1,4]=>[3,6,1,2,5,7,4]=>[2,4,1]=>1010001=>4 [5,2,7,6,3,4,1]=>[3,6,1,2,5,4,7]=>[2,3,2]=>1010010=>5 [5,2,7,6,4,1,3]=>[3,6,1,2,4,7,5]=>[2,4,1]=>1010001=>4 [5,2,7,6,4,3,1]=>[3,6,1,2,4,5,7]=>[2,5]=>1010000=>3 [5,3,1,2,4,6,7]=>[3,5,7,6,4,2,1]=>[3,1,1,1,1]=>1001111=>2 [5,3,1,2,4,7,6]=>[3,5,7,6,4,1,2]=>[3,1,1,2]=>1001110=>3 [5,3,1,2,6,4,7]=>[3,5,7,6,2,4,1]=>[3,1,2,1]=>1001101=>4 [5,3,1,2,6,7,4]=>[3,5,7,6,2,1,4]=>[3,1,1,2]=>1001110=>3 [5,3,1,2,7,4,6]=>[3,5,7,6,1,4,2]=>[3,1,2,1]=>1001101=>4 [5,3,1,2,7,6,4]=>[3,5,7,6,1,2,4]=>[3,1,3]=>1001100=>3 [5,3,1,4,2,6,7]=>[3,5,7,4,6,2,1]=>[3,2,1,1]=>1001011=>4 [5,3,1,4,2,7,6]=>[3,5,7,4,6,1,2]=>[3,2,2]=>1001010=>5 [5,3,1,4,6,2,7]=>[3,5,7,4,2,6,1]=>[3,1,2,1]=>1001101=>4 [5,3,1,4,6,7,2]=>[3,5,7,4,2,1,6]=>[3,1,1,2]=>1001110=>3 [5,3,1,4,7,2,6]=>[3,5,7,4,1,6,2]=>[3,1,2,1]=>1001101=>4 [5,3,1,4,7,6,2]=>[3,5,7,4,1,2,6]=>[3,1,3]=>1001100=>3 [5,3,1,6,2,4,7]=>[3,5,7,2,6,4,1]=>[3,2,1,1]=>1001011=>4 [5,3,1,6,2,7,4]=>[3,5,7,2,6,1,4]=>[3,2,2]=>1001010=>5 [5,3,1,6,4,2,7]=>[3,5,7,2,4,6,1]=>[3,3,1]=>1001001=>4 [5,3,1,6,4,7,2]=>[3,5,7,2,4,1,6]=>[3,2,2]=>1001010=>5 [5,3,1,6,7,2,4]=>[3,5,7,2,1,6,4]=>[3,1,2,1]=>1001101=>4 [5,3,1,6,7,4,2]=>[3,5,7,2,1,4,6]=>[3,1,3]=>1001100=>3 [5,3,1,7,2,4,6]=>[3,5,7,1,6,4,2]=>[3,2,1,1]=>1001011=>4 [5,3,1,7,2,6,4]=>[3,5,7,1,6,2,4]=>[3,2,2]=>1001010=>5 [5,3,1,7,4,2,6]=>[3,5,7,1,4,6,2]=>[3,3,1]=>1001001=>4 [5,3,1,7,4,6,2]=>[3,5,7,1,4,2,6]=>[3,2,2]=>1001010=>5 [5,3,1,7,6,2,4]=>[3,5,7,1,2,6,4]=>[3,3,1]=>1001001=>4 [5,3,1,7,6,4,2]=>[3,5,7,1,2,4,6]=>[3,4]=>1001000=>3 [5,3,2,1,4,6,7]=>[3,5,6,7,4,2,1]=>[4,1,1,1]=>1000111=>2 [5,3,2,1,4,7,6]=>[3,5,6,7,4,1,2]=>[4,1,2]=>1000110=>3 [5,3,2,1,6,4,7]=>[3,5,6,7,2,4,1]=>[4,2,1]=>1000101=>4 [5,3,2,1,6,7,4]=>[3,5,6,7,2,1,4]=>[4,1,2]=>1000110=>3 [5,3,2,1,7,4,6]=>[3,5,6,7,1,4,2]=>[4,2,1]=>1000101=>4 [5,3,2,1,7,6,4]=>[3,5,6,7,1,2,4]=>[4,3]=>1000100=>3 [5,3,2,4,1,6,7]=>[3,5,6,4,7,2,1]=>[3,2,1,1]=>1001011=>4 [5,3,2,4,1,7,6]=>[3,5,6,4,7,1,2]=>[3,2,2]=>1001010=>5 [5,3,2,4,6,1,7]=>[3,5,6,4,2,7,1]=>[3,1,2,1]=>1001101=>4 [5,3,2,4,6,7,1]=>[3,5,6,4,2,1,7]=>[3,1,1,2]=>1001110=>3 [5,3,2,4,7,1,6]=>[3,5,6,4,1,7,2]=>[3,1,2,1]=>1001101=>4 [5,3,2,4,7,6,1]=>[3,5,6,4,1,2,7]=>[3,1,3]=>1001100=>3 [5,3,2,6,1,4,7]=>[3,5,6,2,7,4,1]=>[3,2,1,1]=>1001011=>4 [5,3,2,6,1,7,4]=>[3,5,6,2,7,1,4]=>[3,2,2]=>1001010=>5 [5,3,2,6,4,1,7]=>[3,5,6,2,4,7,1]=>[3,3,1]=>1001001=>4 [5,3,2,6,4,7,1]=>[3,5,6,2,4,1,7]=>[3,2,2]=>1001010=>5 [5,3,2,6,7,1,4]=>[3,5,6,2,1,7,4]=>[3,1,2,1]=>1001101=>4 [5,3,2,6,7,4,1]=>[3,5,6,2,1,4,7]=>[3,1,3]=>1001100=>3 [5,3,2,7,1,4,6]=>[3,5,6,1,7,4,2]=>[3,2,1,1]=>1001011=>4 [5,3,2,7,1,6,4]=>[3,5,6,1,7,2,4]=>[3,2,2]=>1001010=>5 [5,3,2,7,4,1,6]=>[3,5,6,1,4,7,2]=>[3,3,1]=>1001001=>4 [5,3,2,7,4,6,1]=>[3,5,6,1,4,2,7]=>[3,2,2]=>1001010=>5 [5,3,2,7,6,1,4]=>[3,5,6,1,2,7,4]=>[3,3,1]=>1001001=>4 [5,3,2,7,6,4,1]=>[3,5,6,1,2,4,7]=>[3,4]=>1001000=>3 [5,3,4,1,2,6,7]=>[3,5,4,7,6,2,1]=>[2,2,1,1,1]=>1010111=>4 [5,3,4,1,2,7,6]=>[3,5,4,7,6,1,2]=>[2,2,1,2]=>1010110=>5 [5,3,4,1,6,2,7]=>[3,5,4,7,2,6,1]=>[2,2,2,1]=>1010101=>6 [5,3,4,1,6,7,2]=>[3,5,4,7,2,1,6]=>[2,2,1,2]=>1010110=>5 [5,3,4,1,7,2,6]=>[3,5,4,7,1,6,2]=>[2,2,2,1]=>1010101=>6 [5,3,4,1,7,6,2]=>[3,5,4,7,1,2,6]=>[2,2,3]=>1010100=>5 [5,3,4,2,1,6,7]=>[3,5,4,6,7,2,1]=>[2,3,1,1]=>1010011=>4 [5,3,4,2,1,7,6]=>[3,5,4,6,7,1,2]=>[2,3,2]=>1010010=>5 [5,3,4,2,6,1,7]=>[3,5,4,6,2,7,1]=>[2,2,2,1]=>1010101=>6 [5,3,4,2,6,7,1]=>[3,5,4,6,2,1,7]=>[2,2,1,2]=>1010110=>5 [5,3,4,2,7,1,6]=>[3,5,4,6,1,7,2]=>[2,2,2,1]=>1010101=>6 [5,3,4,2,7,6,1]=>[3,5,4,6,1,2,7]=>[2,2,3]=>1010100=>5 [5,3,4,6,1,2,7]=>[3,5,4,2,7,6,1]=>[2,1,2,1,1]=>1011011=>4 [5,3,4,6,1,7,2]=>[3,5,4,2,7,1,6]=>[2,1,2,2]=>1011010=>5 [5,3,4,6,2,1,7]=>[3,5,4,2,6,7,1]=>[2,1,3,1]=>1011001=>4 [5,3,4,6,2,7,1]=>[3,5,4,2,6,1,7]=>[2,1,2,2]=>1011010=>5 [5,3,4,6,7,1,2]=>[3,5,4,2,1,7,6]=>[2,1,1,2,1]=>1011101=>4 [5,3,4,6,7,2,1]=>[3,5,4,2,1,6,7]=>[2,1,1,3]=>1011100=>3 [5,3,4,7,1,2,6]=>[3,5,4,1,7,6,2]=>[2,1,2,1,1]=>1011011=>4 [5,3,4,7,1,6,2]=>[3,5,4,1,7,2,6]=>[2,1,2,2]=>1011010=>5 [5,3,4,7,2,1,6]=>[3,5,4,1,6,7,2]=>[2,1,3,1]=>1011001=>4 [5,3,4,7,2,6,1]=>[3,5,4,1,6,2,7]=>[2,1,2,2]=>1011010=>5 [5,3,4,7,6,1,2]=>[3,5,4,1,2,7,6]=>[2,1,3,1]=>1011001=>4 [5,3,4,7,6,2,1]=>[3,5,4,1,2,6,7]=>[2,1,4]=>1011000=>3 [5,3,6,1,2,4,7]=>[3,5,2,7,6,4,1]=>[2,2,1,1,1]=>1010111=>4 [5,3,6,1,2,7,4]=>[3,5,2,7,6,1,4]=>[2,2,1,2]=>1010110=>5 [5,3,6,1,4,2,7]=>[3,5,2,7,4,6,1]=>[2,2,2,1]=>1010101=>6 [5,3,6,1,4,7,2]=>[3,5,2,7,4,1,6]=>[2,2,1,2]=>1010110=>5 [5,3,6,1,7,2,4]=>[3,5,2,7,1,6,4]=>[2,2,2,1]=>1010101=>6 [5,3,6,1,7,4,2]=>[3,5,2,7,1,4,6]=>[2,2,3]=>1010100=>5 [5,3,6,2,1,4,7]=>[3,5,2,6,7,4,1]=>[2,3,1,1]=>1010011=>4 [5,3,6,2,1,7,4]=>[3,5,2,6,7,1,4]=>[2,3,2]=>1010010=>5 [5,3,6,2,4,1,7]=>[3,5,2,6,4,7,1]=>[2,2,2,1]=>1010101=>6 [5,3,6,2,4,7,1]=>[3,5,2,6,4,1,7]=>[2,2,1,2]=>1010110=>5 [5,3,6,2,7,1,4]=>[3,5,2,6,1,7,4]=>[2,2,2,1]=>1010101=>6 [5,3,6,2,7,4,1]=>[3,5,2,6,1,4,7]=>[2,2,3]=>1010100=>5 [5,3,6,4,1,2,7]=>[3,5,2,4,7,6,1]=>[2,3,1,1]=>1010011=>4 [5,3,6,4,1,7,2]=>[3,5,2,4,7,1,6]=>[2,3,2]=>1010010=>5 [5,3,6,4,2,1,7]=>[3,5,2,4,6,7,1]=>[2,4,1]=>1010001=>4 [5,3,6,4,2,7,1]=>[3,5,2,4,6,1,7]=>[2,3,2]=>1010010=>5 [5,3,6,4,7,1,2]=>[3,5,2,4,1,7,6]=>[2,2,2,1]=>1010101=>6 [5,3,6,4,7,2,1]=>[3,5,2,4,1,6,7]=>[2,2,3]=>1010100=>5 [5,3,6,7,1,2,4]=>[3,5,2,1,7,6,4]=>[2,1,2,1,1]=>1011011=>4 [5,3,6,7,1,4,2]=>[3,5,2,1,7,4,6]=>[2,1,2,2]=>1011010=>5 [5,3,6,7,2,1,4]=>[3,5,2,1,6,7,4]=>[2,1,3,1]=>1011001=>4 [5,3,6,7,2,4,1]=>[3,5,2,1,6,4,7]=>[2,1,2,2]=>1011010=>5 [5,3,6,7,4,1,2]=>[3,5,2,1,4,7,6]=>[2,1,3,1]=>1011001=>4 [5,3,6,7,4,2,1]=>[3,5,2,1,4,6,7]=>[2,1,4]=>1011000=>3 [5,3,7,1,2,4,6]=>[3,5,1,7,6,4,2]=>[2,2,1,1,1]=>1010111=>4 [5,3,7,1,2,6,4]=>[3,5,1,7,6,2,4]=>[2,2,1,2]=>1010110=>5 [5,3,7,1,4,2,6]=>[3,5,1,7,4,6,2]=>[2,2,2,1]=>1010101=>6 [5,3,7,1,4,6,2]=>[3,5,1,7,4,2,6]=>[2,2,1,2]=>1010110=>5 [5,3,7,1,6,2,4]=>[3,5,1,7,2,6,4]=>[2,2,2,1]=>1010101=>6 [5,3,7,1,6,4,2]=>[3,5,1,7,2,4,6]=>[2,2,3]=>1010100=>5 [5,3,7,2,1,4,6]=>[3,5,1,6,7,4,2]=>[2,3,1,1]=>1010011=>4 [5,3,7,2,1,6,4]=>[3,5,1,6,7,2,4]=>[2,3,2]=>1010010=>5 [5,3,7,2,4,1,6]=>[3,5,1,6,4,7,2]=>[2,2,2,1]=>1010101=>6 [5,3,7,2,4,6,1]=>[3,5,1,6,4,2,7]=>[2,2,1,2]=>1010110=>5 [5,3,7,2,6,1,4]=>[3,5,1,6,2,7,4]=>[2,2,2,1]=>1010101=>6 [5,3,7,2,6,4,1]=>[3,5,1,6,2,4,7]=>[2,2,3]=>1010100=>5 [5,3,7,4,1,2,6]=>[3,5,1,4,7,6,2]=>[2,3,1,1]=>1010011=>4 [5,3,7,4,1,6,2]=>[3,5,1,4,7,2,6]=>[2,3,2]=>1010010=>5 [5,3,7,4,2,1,6]=>[3,5,1,4,6,7,2]=>[2,4,1]=>1010001=>4 [5,3,7,4,2,6,1]=>[3,5,1,4,6,2,7]=>[2,3,2]=>1010010=>5 [5,3,7,4,6,1,2]=>[3,5,1,4,2,7,6]=>[2,2,2,1]=>1010101=>6 [5,3,7,4,6,2,1]=>[3,5,1,4,2,6,7]=>[2,2,3]=>1010100=>5 [5,3,7,6,1,2,4]=>[3,5,1,2,7,6,4]=>[2,3,1,1]=>1010011=>4 [5,3,7,6,1,4,2]=>[3,5,1,2,7,4,6]=>[2,3,2]=>1010010=>5 [5,3,7,6,2,1,4]=>[3,5,1,2,6,7,4]=>[2,4,1]=>1010001=>4 [5,3,7,6,2,4,1]=>[3,5,1,2,6,4,7]=>[2,3,2]=>1010010=>5 [5,3,7,6,4,1,2]=>[3,5,1,2,4,7,6]=>[2,4,1]=>1010001=>4 [5,3,7,6,4,2,1]=>[3,5,1,2,4,6,7]=>[2,5]=>1010000=>3 [5,4,1,2,3,6,7]=>[3,4,7,6,5,2,1]=>[3,1,1,1,1]=>1001111=>2 [5,4,1,2,3,7,6]=>[3,4,7,6,5,1,2]=>[3,1,1,2]=>1001110=>3 [5,4,1,2,6,3,7]=>[3,4,7,6,2,5,1]=>[3,1,2,1]=>1001101=>4 [5,4,1,2,6,7,3]=>[3,4,7,6,2,1,5]=>[3,1,1,2]=>1001110=>3 [5,4,1,2,7,3,6]=>[3,4,7,6,1,5,2]=>[3,1,2,1]=>1001101=>4 [5,4,1,2,7,6,3]=>[3,4,7,6,1,2,5]=>[3,1,3]=>1001100=>3 [5,4,1,3,2,6,7]=>[3,4,7,5,6,2,1]=>[3,2,1,1]=>1001011=>4 [5,4,1,3,2,7,6]=>[3,4,7,5,6,1,2]=>[3,2,2]=>1001010=>5 [5,4,1,3,6,2,7]=>[3,4,7,5,2,6,1]=>[3,1,2,1]=>1001101=>4 [5,4,1,3,6,7,2]=>[3,4,7,5,2,1,6]=>[3,1,1,2]=>1001110=>3 [5,4,1,3,7,2,6]=>[3,4,7,5,1,6,2]=>[3,1,2,1]=>1001101=>4 [5,4,1,3,7,6,2]=>[3,4,7,5,1,2,6]=>[3,1,3]=>1001100=>3 [5,4,1,6,2,3,7]=>[3,4,7,2,6,5,1]=>[3,2,1,1]=>1001011=>4 [5,4,1,6,2,7,3]=>[3,4,7,2,6,1,5]=>[3,2,2]=>1001010=>5 [5,4,1,6,3,2,7]=>[3,4,7,2,5,6,1]=>[3,3,1]=>1001001=>4 [5,4,1,6,3,7,2]=>[3,4,7,2,5,1,6]=>[3,2,2]=>1001010=>5 [5,4,1,6,7,2,3]=>[3,4,7,2,1,6,5]=>[3,1,2,1]=>1001101=>4 [5,4,1,6,7,3,2]=>[3,4,7,2,1,5,6]=>[3,1,3]=>1001100=>3 [5,4,1,7,2,3,6]=>[3,4,7,1,6,5,2]=>[3,2,1,1]=>1001011=>4 [5,4,1,7,2,6,3]=>[3,4,7,1,6,2,5]=>[3,2,2]=>1001010=>5 [5,4,1,7,3,2,6]=>[3,4,7,1,5,6,2]=>[3,3,1]=>1001001=>4 [5,4,1,7,3,6,2]=>[3,4,7,1,5,2,6]=>[3,2,2]=>1001010=>5 [5,4,1,7,6,2,3]=>[3,4,7,1,2,6,5]=>[3,3,1]=>1001001=>4 [5,4,1,7,6,3,2]=>[3,4,7,1,2,5,6]=>[3,4]=>1001000=>3 [5,4,2,1,3,6,7]=>[3,4,6,7,5,2,1]=>[4,1,1,1]=>1000111=>2 [5,4,2,1,3,7,6]=>[3,4,6,7,5,1,2]=>[4,1,2]=>1000110=>3 [5,4,2,1,6,3,7]=>[3,4,6,7,2,5,1]=>[4,2,1]=>1000101=>4 [5,4,2,1,6,7,3]=>[3,4,6,7,2,1,5]=>[4,1,2]=>1000110=>3 [5,4,2,1,7,3,6]=>[3,4,6,7,1,5,2]=>[4,2,1]=>1000101=>4 [5,4,2,1,7,6,3]=>[3,4,6,7,1,2,5]=>[4,3]=>1000100=>3 [5,4,2,3,1,6,7]=>[3,4,6,5,7,2,1]=>[3,2,1,1]=>1001011=>4 [5,4,2,3,1,7,6]=>[3,4,6,5,7,1,2]=>[3,2,2]=>1001010=>5 [5,4,2,3,6,1,7]=>[3,4,6,5,2,7,1]=>[3,1,2,1]=>1001101=>4 [5,4,2,3,6,7,1]=>[3,4,6,5,2,1,7]=>[3,1,1,2]=>1001110=>3 [5,4,2,3,7,1,6]=>[3,4,6,5,1,7,2]=>[3,1,2,1]=>1001101=>4 [5,4,2,3,7,6,1]=>[3,4,6,5,1,2,7]=>[3,1,3]=>1001100=>3 [5,4,2,6,1,3,7]=>[3,4,6,2,7,5,1]=>[3,2,1,1]=>1001011=>4 [5,4,2,6,1,7,3]=>[3,4,6,2,7,1,5]=>[3,2,2]=>1001010=>5 [5,4,2,6,3,1,7]=>[3,4,6,2,5,7,1]=>[3,3,1]=>1001001=>4 [5,4,2,6,3,7,1]=>[3,4,6,2,5,1,7]=>[3,2,2]=>1001010=>5 [5,4,2,6,7,1,3]=>[3,4,6,2,1,7,5]=>[3,1,2,1]=>1001101=>4 [5,4,2,6,7,3,1]=>[3,4,6,2,1,5,7]=>[3,1,3]=>1001100=>3 [5,4,2,7,1,3,6]=>[3,4,6,1,7,5,2]=>[3,2,1,1]=>1001011=>4 [5,4,2,7,1,6,3]=>[3,4,6,1,7,2,5]=>[3,2,2]=>1001010=>5 [5,4,2,7,3,1,6]=>[3,4,6,1,5,7,2]=>[3,3,1]=>1001001=>4 [5,4,2,7,3,6,1]=>[3,4,6,1,5,2,7]=>[3,2,2]=>1001010=>5 [5,4,2,7,6,1,3]=>[3,4,6,1,2,7,5]=>[3,3,1]=>1001001=>4 [5,4,2,7,6,3,1]=>[3,4,6,1,2,5,7]=>[3,4]=>1001000=>3 [5,4,3,1,2,6,7]=>[3,4,5,7,6,2,1]=>[4,1,1,1]=>1000111=>2 [5,4,3,1,2,7,6]=>[3,4,5,7,6,1,2]=>[4,1,2]=>1000110=>3 [5,4,3,1,6,2,7]=>[3,4,5,7,2,6,1]=>[4,2,1]=>1000101=>4 [5,4,3,1,6,7,2]=>[3,4,5,7,2,1,6]=>[4,1,2]=>1000110=>3 [5,4,3,1,7,2,6]=>[3,4,5,7,1,6,2]=>[4,2,1]=>1000101=>4 [5,4,3,1,7,6,2]=>[3,4,5,7,1,2,6]=>[4,3]=>1000100=>3 [5,4,3,2,1,6,7]=>[3,4,5,6,7,2,1]=>[5,1,1]=>1000011=>2 [5,4,3,2,1,7,6]=>[3,4,5,6,7,1,2]=>[5,2]=>1000010=>3 [5,4,3,2,6,1,7]=>[3,4,5,6,2,7,1]=>[4,2,1]=>1000101=>4 [5,4,3,2,6,7,1]=>[3,4,5,6,2,1,7]=>[4,1,2]=>1000110=>3 [5,4,3,2,7,1,6]=>[3,4,5,6,1,7,2]=>[4,2,1]=>1000101=>4 [5,4,3,2,7,6,1]=>[3,4,5,6,1,2,7]=>[4,3]=>1000100=>3 [5,4,3,6,1,2,7]=>[3,4,5,2,7,6,1]=>[3,2,1,1]=>1001011=>4 [5,4,3,6,1,7,2]=>[3,4,5,2,7,1,6]=>[3,2,2]=>1001010=>5 [5,4,3,6,2,1,7]=>[3,4,5,2,6,7,1]=>[3,3,1]=>1001001=>4 [5,4,3,6,2,7,1]=>[3,4,5,2,6,1,7]=>[3,2,2]=>1001010=>5 [5,4,3,6,7,1,2]=>[3,4,5,2,1,7,6]=>[3,1,2,1]=>1001101=>4 [5,4,3,6,7,2,1]=>[3,4,5,2,1,6,7]=>[3,1,3]=>1001100=>3 [5,4,3,7,1,2,6]=>[3,4,5,1,7,6,2]=>[3,2,1,1]=>1001011=>4 [5,4,3,7,1,6,2]=>[3,4,5,1,7,2,6]=>[3,2,2]=>1001010=>5 [5,4,3,7,2,1,6]=>[3,4,5,1,6,7,2]=>[3,3,1]=>1001001=>4 [5,4,3,7,2,6,1]=>[3,4,5,1,6,2,7]=>[3,2,2]=>1001010=>5 [5,4,3,7,6,1,2]=>[3,4,5,1,2,7,6]=>[3,3,1]=>1001001=>4 [5,4,3,7,6,2,1]=>[3,4,5,1,2,6,7]=>[3,4]=>1001000=>3 [5,4,6,1,2,3,7]=>[3,4,2,7,6,5,1]=>[2,2,1,1,1]=>1010111=>4 [5,4,6,1,2,7,3]=>[3,4,2,7,6,1,5]=>[2,2,1,2]=>1010110=>5 [5,4,6,1,3,2,7]=>[3,4,2,7,5,6,1]=>[2,2,2,1]=>1010101=>6 [5,4,6,1,3,7,2]=>[3,4,2,7,5,1,6]=>[2,2,1,2]=>1010110=>5 [5,4,6,1,7,2,3]=>[3,4,2,7,1,6,5]=>[2,2,2,1]=>1010101=>6 [5,4,6,1,7,3,2]=>[3,4,2,7,1,5,6]=>[2,2,3]=>1010100=>5 [5,4,6,2,1,3,7]=>[3,4,2,6,7,5,1]=>[2,3,1,1]=>1010011=>4 [5,4,6,2,1,7,3]=>[3,4,2,6,7,1,5]=>[2,3,2]=>1010010=>5 [5,4,6,2,3,1,7]=>[3,4,2,6,5,7,1]=>[2,2,2,1]=>1010101=>6 [5,4,6,2,3,7,1]=>[3,4,2,6,5,1,7]=>[2,2,1,2]=>1010110=>5 [5,4,6,2,7,1,3]=>[3,4,2,6,1,7,5]=>[2,2,2,1]=>1010101=>6 [5,4,6,2,7,3,1]=>[3,4,2,6,1,5,7]=>[2,2,3]=>1010100=>5 [5,4,6,3,1,2,7]=>[3,4,2,5,7,6,1]=>[2,3,1,1]=>1010011=>4 [5,4,6,3,1,7,2]=>[3,4,2,5,7,1,6]=>[2,3,2]=>1010010=>5 [5,4,6,3,2,1,7]=>[3,4,2,5,6,7,1]=>[2,4,1]=>1010001=>4 [5,4,6,3,2,7,1]=>[3,4,2,5,6,1,7]=>[2,3,2]=>1010010=>5 [5,4,6,3,7,1,2]=>[3,4,2,5,1,7,6]=>[2,2,2,1]=>1010101=>6 [5,4,6,3,7,2,1]=>[3,4,2,5,1,6,7]=>[2,2,3]=>1010100=>5 [5,4,6,7,1,2,3]=>[3,4,2,1,7,6,5]=>[2,1,2,1,1]=>1011011=>4 [5,4,6,7,1,3,2]=>[3,4,2,1,7,5,6]=>[2,1,2,2]=>1011010=>5 [5,4,6,7,2,1,3]=>[3,4,2,1,6,7,5]=>[2,1,3,1]=>1011001=>4 [5,4,6,7,2,3,1]=>[3,4,2,1,6,5,7]=>[2,1,2,2]=>1011010=>5 [5,4,6,7,3,1,2]=>[3,4,2,1,5,7,6]=>[2,1,3,1]=>1011001=>4 [5,4,6,7,3,2,1]=>[3,4,2,1,5,6,7]=>[2,1,4]=>1011000=>3 [5,4,7,1,2,3,6]=>[3,4,1,7,6,5,2]=>[2,2,1,1,1]=>1010111=>4 [5,4,7,1,2,6,3]=>[3,4,1,7,6,2,5]=>[2,2,1,2]=>1010110=>5 [5,4,7,1,3,2,6]=>[3,4,1,7,5,6,2]=>[2,2,2,1]=>1010101=>6 [5,4,7,1,3,6,2]=>[3,4,1,7,5,2,6]=>[2,2,1,2]=>1010110=>5 [5,4,7,1,6,2,3]=>[3,4,1,7,2,6,5]=>[2,2,2,1]=>1010101=>6 [5,4,7,1,6,3,2]=>[3,4,1,7,2,5,6]=>[2,2,3]=>1010100=>5 [5,4,7,2,1,3,6]=>[3,4,1,6,7,5,2]=>[2,3,1,1]=>1010011=>4 [5,4,7,2,1,6,3]=>[3,4,1,6,7,2,5]=>[2,3,2]=>1010010=>5 [5,4,7,2,3,1,6]=>[3,4,1,6,5,7,2]=>[2,2,2,1]=>1010101=>6 [5,4,7,2,3,6,1]=>[3,4,1,6,5,2,7]=>[2,2,1,2]=>1010110=>5 [5,4,7,2,6,1,3]=>[3,4,1,6,2,7,5]=>[2,2,2,1]=>1010101=>6 [5,4,7,2,6,3,1]=>[3,4,1,6,2,5,7]=>[2,2,3]=>1010100=>5 [5,4,7,3,1,2,6]=>[3,4,1,5,7,6,2]=>[2,3,1,1]=>1010011=>4 [5,4,7,3,1,6,2]=>[3,4,1,5,7,2,6]=>[2,3,2]=>1010010=>5 [5,4,7,3,2,1,6]=>[3,4,1,5,6,7,2]=>[2,4,1]=>1010001=>4 [5,4,7,3,2,6,1]=>[3,4,1,5,6,2,7]=>[2,3,2]=>1010010=>5 [5,4,7,3,6,1,2]=>[3,4,1,5,2,7,6]=>[2,2,2,1]=>1010101=>6 [5,4,7,3,6,2,1]=>[3,4,1,5,2,6,7]=>[2,2,3]=>1010100=>5 [5,4,7,6,1,2,3]=>[3,4,1,2,7,6,5]=>[2,3,1,1]=>1010011=>4 [5,4,7,6,1,3,2]=>[3,4,1,2,7,5,6]=>[2,3,2]=>1010010=>5 [5,4,7,6,2,1,3]=>[3,4,1,2,6,7,5]=>[2,4,1]=>1010001=>4 [5,4,7,6,2,3,1]=>[3,4,1,2,6,5,7]=>[2,3,2]=>1010010=>5 [5,4,7,6,3,1,2]=>[3,4,1,2,5,7,6]=>[2,4,1]=>1010001=>4 [5,4,7,6,3,2,1]=>[3,4,1,2,5,6,7]=>[2,5]=>1010000=>3 [5,6,1,2,3,4,7]=>[3,2,7,6,5,4,1]=>[1,2,1,1,1,1]=>1101111=>2 [5,6,1,2,3,7,4]=>[3,2,7,6,5,1,4]=>[1,2,1,1,2]=>1101110=>3 [5,6,1,2,4,3,7]=>[3,2,7,6,4,5,1]=>[1,2,1,2,1]=>1101101=>4 [5,6,1,2,4,7,3]=>[3,2,7,6,4,1,5]=>[1,2,1,1,2]=>1101110=>3 [5,6,1,2,7,3,4]=>[3,2,7,6,1,5,4]=>[1,2,1,2,1]=>1101101=>4 [5,6,1,2,7,4,3]=>[3,2,7,6,1,4,5]=>[1,2,1,3]=>1101100=>3 [5,6,1,3,2,4,7]=>[3,2,7,5,6,4,1]=>[1,2,2,1,1]=>1101011=>4 [5,6,1,3,2,7,4]=>[3,2,7,5,6,1,4]=>[1,2,2,2]=>1101010=>5 [5,6,1,3,4,2,7]=>[3,2,7,5,4,6,1]=>[1,2,1,2,1]=>1101101=>4 [5,6,1,3,4,7,2]=>[3,2,7,5,4,1,6]=>[1,2,1,1,2]=>1101110=>3 [5,6,1,3,7,2,4]=>[3,2,7,5,1,6,4]=>[1,2,1,2,1]=>1101101=>4 [5,6,1,3,7,4,2]=>[3,2,7,5,1,4,6]=>[1,2,1,3]=>1101100=>3 [5,6,1,4,2,3,7]=>[3,2,7,4,6,5,1]=>[1,2,2,1,1]=>1101011=>4 [5,6,1,4,2,7,3]=>[3,2,7,4,6,1,5]=>[1,2,2,2]=>1101010=>5 [5,6,1,4,3,2,7]=>[3,2,7,4,5,6,1]=>[1,2,3,1]=>1101001=>4 [5,6,1,4,3,7,2]=>[3,2,7,4,5,1,6]=>[1,2,2,2]=>1101010=>5 [5,6,1,4,7,2,3]=>[3,2,7,4,1,6,5]=>[1,2,1,2,1]=>1101101=>4 [5,6,1,4,7,3,2]=>[3,2,7,4,1,5,6]=>[1,2,1,3]=>1101100=>3 [5,6,1,7,2,3,4]=>[3,2,7,1,6,5,4]=>[1,2,2,1,1]=>1101011=>4 [5,6,1,7,2,4,3]=>[3,2,7,1,6,4,5]=>[1,2,2,2]=>1101010=>5 [5,6,1,7,3,2,4]=>[3,2,7,1,5,6,4]=>[1,2,3,1]=>1101001=>4 [5,6,1,7,3,4,2]=>[3,2,7,1,5,4,6]=>[1,2,2,2]=>1101010=>5 [5,6,1,7,4,2,3]=>[3,2,7,1,4,6,5]=>[1,2,3,1]=>1101001=>4 [5,6,1,7,4,3,2]=>[3,2,7,1,4,5,6]=>[1,2,4]=>1101000=>3 [5,6,2,1,3,4,7]=>[3,2,6,7,5,4,1]=>[1,3,1,1,1]=>1100111=>2 [5,6,2,1,3,7,4]=>[3,2,6,7,5,1,4]=>[1,3,1,2]=>1100110=>3 [5,6,2,1,4,3,7]=>[3,2,6,7,4,5,1]=>[1,3,2,1]=>1100101=>4 [5,6,2,1,4,7,3]=>[3,2,6,7,4,1,5]=>[1,3,1,2]=>1100110=>3 [5,6,2,1,7,3,4]=>[3,2,6,7,1,5,4]=>[1,3,2,1]=>1100101=>4 [5,6,2,1,7,4,3]=>[3,2,6,7,1,4,5]=>[1,3,3]=>1100100=>3 [5,6,2,3,1,4,7]=>[3,2,6,5,7,4,1]=>[1,2,2,1,1]=>1101011=>4 [5,6,2,3,1,7,4]=>[3,2,6,5,7,1,4]=>[1,2,2,2]=>1101010=>5 [5,6,2,3,4,1,7]=>[3,2,6,5,4,7,1]=>[1,2,1,2,1]=>1101101=>4 [5,6,2,3,4,7,1]=>[3,2,6,5,4,1,7]=>[1,2,1,1,2]=>1101110=>3 [5,6,2,3,7,1,4]=>[3,2,6,5,1,7,4]=>[1,2,1,2,1]=>1101101=>4 [5,6,2,3,7,4,1]=>[3,2,6,5,1,4,7]=>[1,2,1,3]=>1101100=>3 [5,6,2,4,1,3,7]=>[3,2,6,4,7,5,1]=>[1,2,2,1,1]=>1101011=>4 [5,6,2,4,1,7,3]=>[3,2,6,4,7,1,5]=>[1,2,2,2]=>1101010=>5 [5,6,2,4,3,1,7]=>[3,2,6,4,5,7,1]=>[1,2,3,1]=>1101001=>4 [5,6,2,4,3,7,1]=>[3,2,6,4,5,1,7]=>[1,2,2,2]=>1101010=>5 [5,6,2,4,7,1,3]=>[3,2,6,4,1,7,5]=>[1,2,1,2,1]=>1101101=>4 [5,6,2,4,7,3,1]=>[3,2,6,4,1,5,7]=>[1,2,1,3]=>1101100=>3 [5,6,2,7,1,3,4]=>[3,2,6,1,7,5,4]=>[1,2,2,1,1]=>1101011=>4 [5,6,2,7,1,4,3]=>[3,2,6,1,7,4,5]=>[1,2,2,2]=>1101010=>5 [5,6,2,7,3,1,4]=>[3,2,6,1,5,7,4]=>[1,2,3,1]=>1101001=>4 [5,6,2,7,3,4,1]=>[3,2,6,1,5,4,7]=>[1,2,2,2]=>1101010=>5 [5,6,2,7,4,1,3]=>[3,2,6,1,4,7,5]=>[1,2,3,1]=>1101001=>4 [5,6,2,7,4,3,1]=>[3,2,6,1,4,5,7]=>[1,2,4]=>1101000=>3 [5,6,3,1,2,4,7]=>[3,2,5,7,6,4,1]=>[1,3,1,1,1]=>1100111=>2 [5,6,3,1,2,7,4]=>[3,2,5,7,6,1,4]=>[1,3,1,2]=>1100110=>3 [5,6,3,1,4,2,7]=>[3,2,5,7,4,6,1]=>[1,3,2,1]=>1100101=>4 [5,6,3,1,4,7,2]=>[3,2,5,7,4,1,6]=>[1,3,1,2]=>1100110=>3 [5,6,3,1,7,2,4]=>[3,2,5,7,1,6,4]=>[1,3,2,1]=>1100101=>4 [5,6,3,1,7,4,2]=>[3,2,5,7,1,4,6]=>[1,3,3]=>1100100=>3 [5,6,3,2,1,4,7]=>[3,2,5,6,7,4,1]=>[1,4,1,1]=>1100011=>2 [5,6,3,2,1,7,4]=>[3,2,5,6,7,1,4]=>[1,4,2]=>1100010=>3 [5,6,3,2,4,1,7]=>[3,2,5,6,4,7,1]=>[1,3,2,1]=>1100101=>4 [5,6,3,2,4,7,1]=>[3,2,5,6,4,1,7]=>[1,3,1,2]=>1100110=>3 [5,6,3,2,7,1,4]=>[3,2,5,6,1,7,4]=>[1,3,2,1]=>1100101=>4 [5,6,3,2,7,4,1]=>[3,2,5,6,1,4,7]=>[1,3,3]=>1100100=>3 [5,6,3,4,1,2,7]=>[3,2,5,4,7,6,1]=>[1,2,2,1,1]=>1101011=>4 [5,6,3,4,1,7,2]=>[3,2,5,4,7,1,6]=>[1,2,2,2]=>1101010=>5 [5,6,3,4,2,1,7]=>[3,2,5,4,6,7,1]=>[1,2,3,1]=>1101001=>4 [5,6,3,4,2,7,1]=>[3,2,5,4,6,1,7]=>[1,2,2,2]=>1101010=>5 [5,6,3,4,7,1,2]=>[3,2,5,4,1,7,6]=>[1,2,1,2,1]=>1101101=>4 [5,6,3,4,7,2,1]=>[3,2,5,4,1,6,7]=>[1,2,1,3]=>1101100=>3 [5,6,3,7,1,2,4]=>[3,2,5,1,7,6,4]=>[1,2,2,1,1]=>1101011=>4 [5,6,3,7,1,4,2]=>[3,2,5,1,7,4,6]=>[1,2,2,2]=>1101010=>5 [5,6,3,7,2,1,4]=>[3,2,5,1,6,7,4]=>[1,2,3,1]=>1101001=>4 [5,6,3,7,2,4,1]=>[3,2,5,1,6,4,7]=>[1,2,2,2]=>1101010=>5 [5,6,3,7,4,1,2]=>[3,2,5,1,4,7,6]=>[1,2,3,1]=>1101001=>4 [5,6,3,7,4,2,1]=>[3,2,5,1,4,6,7]=>[1,2,4]=>1101000=>3 [5,6,4,1,2,3,7]=>[3,2,4,7,6,5,1]=>[1,3,1,1,1]=>1100111=>2 [5,6,4,1,2,7,3]=>[3,2,4,7,6,1,5]=>[1,3,1,2]=>1100110=>3 [5,6,4,1,3,2,7]=>[3,2,4,7,5,6,1]=>[1,3,2,1]=>1100101=>4 [5,6,4,1,3,7,2]=>[3,2,4,7,5,1,6]=>[1,3,1,2]=>1100110=>3 [5,6,4,1,7,2,3]=>[3,2,4,7,1,6,5]=>[1,3,2,1]=>1100101=>4 [5,6,4,1,7,3,2]=>[3,2,4,7,1,5,6]=>[1,3,3]=>1100100=>3 [5,6,4,2,1,3,7]=>[3,2,4,6,7,5,1]=>[1,4,1,1]=>1100011=>2 [5,6,4,2,1,7,3]=>[3,2,4,6,7,1,5]=>[1,4,2]=>1100010=>3 [5,6,4,2,3,1,7]=>[3,2,4,6,5,7,1]=>[1,3,2,1]=>1100101=>4 [5,6,4,2,3,7,1]=>[3,2,4,6,5,1,7]=>[1,3,1,2]=>1100110=>3 [5,6,4,2,7,1,3]=>[3,2,4,6,1,7,5]=>[1,3,2,1]=>1100101=>4 [5,6,4,2,7,3,1]=>[3,2,4,6,1,5,7]=>[1,3,3]=>1100100=>3 [5,6,4,3,1,2,7]=>[3,2,4,5,7,6,1]=>[1,4,1,1]=>1100011=>2 [5,6,4,3,1,7,2]=>[3,2,4,5,7,1,6]=>[1,4,2]=>1100010=>3 [5,6,4,3,2,1,7]=>[3,2,4,5,6,7,1]=>[1,5,1]=>1100001=>2 [5,6,4,3,2,7,1]=>[3,2,4,5,6,1,7]=>[1,4,2]=>1100010=>3 [5,6,4,3,7,1,2]=>[3,2,4,5,1,7,6]=>[1,3,2,1]=>1100101=>4 [5,6,4,3,7,2,1]=>[3,2,4,5,1,6,7]=>[1,3,3]=>1100100=>3 [5,6,4,7,1,2,3]=>[3,2,4,1,7,6,5]=>[1,2,2,1,1]=>1101011=>4 [5,6,4,7,1,3,2]=>[3,2,4,1,7,5,6]=>[1,2,2,2]=>1101010=>5 [5,6,4,7,2,1,3]=>[3,2,4,1,6,7,5]=>[1,2,3,1]=>1101001=>4 [5,6,4,7,2,3,1]=>[3,2,4,1,6,5,7]=>[1,2,2,2]=>1101010=>5 [5,6,4,7,3,1,2]=>[3,2,4,1,5,7,6]=>[1,2,3,1]=>1101001=>4 [5,6,4,7,3,2,1]=>[3,2,4,1,5,6,7]=>[1,2,4]=>1101000=>3 [5,6,7,1,2,3,4]=>[3,2,1,7,6,5,4]=>[1,1,2,1,1,1]=>1110111=>2 [5,6,7,1,2,4,3]=>[3,2,1,7,6,4,5]=>[1,1,2,1,2]=>1110110=>3 [5,6,7,1,3,2,4]=>[3,2,1,7,5,6,4]=>[1,1,2,2,1]=>1110101=>4 [5,6,7,1,3,4,2]=>[3,2,1,7,5,4,6]=>[1,1,2,1,2]=>1110110=>3 [5,6,7,1,4,2,3]=>[3,2,1,7,4,6,5]=>[1,1,2,2,1]=>1110101=>4 [5,6,7,1,4,3,2]=>[3,2,1,7,4,5,6]=>[1,1,2,3]=>1110100=>3 [5,6,7,2,1,3,4]=>[3,2,1,6,7,5,4]=>[1,1,3,1,1]=>1110011=>2 [5,6,7,2,1,4,3]=>[3,2,1,6,7,4,5]=>[1,1,3,2]=>1110010=>3 [5,6,7,2,3,1,4]=>[3,2,1,6,5,7,4]=>[1,1,2,2,1]=>1110101=>4 [5,6,7,2,3,4,1]=>[3,2,1,6,5,4,7]=>[1,1,2,1,2]=>1110110=>3 [5,6,7,2,4,1,3]=>[3,2,1,6,4,7,5]=>[1,1,2,2,1]=>1110101=>4 [5,6,7,2,4,3,1]=>[3,2,1,6,4,5,7]=>[1,1,2,3]=>1110100=>3 [5,6,7,3,1,2,4]=>[3,2,1,5,7,6,4]=>[1,1,3,1,1]=>1110011=>2 [5,6,7,3,1,4,2]=>[3,2,1,5,7,4,6]=>[1,1,3,2]=>1110010=>3 [5,6,7,3,2,1,4]=>[3,2,1,5,6,7,4]=>[1,1,4,1]=>1110001=>2 [5,6,7,3,2,4,1]=>[3,2,1,5,6,4,7]=>[1,1,3,2]=>1110010=>3 [5,6,7,3,4,1,2]=>[3,2,1,5,4,7,6]=>[1,1,2,2,1]=>1110101=>4 [5,6,7,3,4,2,1]=>[3,2,1,5,4,6,7]=>[1,1,2,3]=>1110100=>3 [5,6,7,4,1,2,3]=>[3,2,1,4,7,6,5]=>[1,1,3,1,1]=>1110011=>2 [5,6,7,4,1,3,2]=>[3,2,1,4,7,5,6]=>[1,1,3,2]=>1110010=>3 [5,6,7,4,2,1,3]=>[3,2,1,4,6,7,5]=>[1,1,4,1]=>1110001=>2 [5,6,7,4,2,3,1]=>[3,2,1,4,6,5,7]=>[1,1,3,2]=>1110010=>3 [5,6,7,4,3,1,2]=>[3,2,1,4,5,7,6]=>[1,1,4,1]=>1110001=>2 [5,6,7,4,3,2,1]=>[3,2,1,4,5,6,7]=>[1,1,5]=>1110000=>1 [5,7,1,2,3,4,6]=>[3,1,7,6,5,4,2]=>[1,2,1,1,1,1]=>1101111=>2 [5,7,1,2,3,6,4]=>[3,1,7,6,5,2,4]=>[1,2,1,1,2]=>1101110=>3 [5,7,1,2,4,3,6]=>[3,1,7,6,4,5,2]=>[1,2,1,2,1]=>1101101=>4 [5,7,1,2,4,6,3]=>[3,1,7,6,4,2,5]=>[1,2,1,1,2]=>1101110=>3 [5,7,1,2,6,3,4]=>[3,1,7,6,2,5,4]=>[1,2,1,2,1]=>1101101=>4 [5,7,1,2,6,4,3]=>[3,1,7,6,2,4,5]=>[1,2,1,3]=>1101100=>3 [5,7,1,3,2,4,6]=>[3,1,7,5,6,4,2]=>[1,2,2,1,1]=>1101011=>4 [5,7,1,3,2,6,4]=>[3,1,7,5,6,2,4]=>[1,2,2,2]=>1101010=>5 [5,7,1,3,4,2,6]=>[3,1,7,5,4,6,2]=>[1,2,1,2,1]=>1101101=>4 [5,7,1,3,4,6,2]=>[3,1,7,5,4,2,6]=>[1,2,1,1,2]=>1101110=>3 [5,7,1,3,6,2,4]=>[3,1,7,5,2,6,4]=>[1,2,1,2,1]=>1101101=>4 [5,7,1,3,6,4,2]=>[3,1,7,5,2,4,6]=>[1,2,1,3]=>1101100=>3 [5,7,1,4,2,3,6]=>[3,1,7,4,6,5,2]=>[1,2,2,1,1]=>1101011=>4 [5,7,1,4,2,6,3]=>[3,1,7,4,6,2,5]=>[1,2,2,2]=>1101010=>5 [5,7,1,4,3,2,6]=>[3,1,7,4,5,6,2]=>[1,2,3,1]=>1101001=>4 [5,7,1,4,3,6,2]=>[3,1,7,4,5,2,6]=>[1,2,2,2]=>1101010=>5 [5,7,1,4,6,2,3]=>[3,1,7,4,2,6,5]=>[1,2,1,2,1]=>1101101=>4 [5,7,1,4,6,3,2]=>[3,1,7,4,2,5,6]=>[1,2,1,3]=>1101100=>3 [5,7,1,6,2,3,4]=>[3,1,7,2,6,5,4]=>[1,2,2,1,1]=>1101011=>4 [5,7,1,6,2,4,3]=>[3,1,7,2,6,4,5]=>[1,2,2,2]=>1101010=>5 [5,7,1,6,3,2,4]=>[3,1,7,2,5,6,4]=>[1,2,3,1]=>1101001=>4 [5,7,1,6,3,4,2]=>[3,1,7,2,5,4,6]=>[1,2,2,2]=>1101010=>5 [5,7,1,6,4,2,3]=>[3,1,7,2,4,6,5]=>[1,2,3,1]=>1101001=>4 [5,7,1,6,4,3,2]=>[3,1,7,2,4,5,6]=>[1,2,4]=>1101000=>3 [5,7,2,1,3,4,6]=>[3,1,6,7,5,4,2]=>[1,3,1,1,1]=>1100111=>2 [5,7,2,1,3,6,4]=>[3,1,6,7,5,2,4]=>[1,3,1,2]=>1100110=>3 [5,7,2,1,4,3,6]=>[3,1,6,7,4,5,2]=>[1,3,2,1]=>1100101=>4 [5,7,2,1,4,6,3]=>[3,1,6,7,4,2,5]=>[1,3,1,2]=>1100110=>3 [5,7,2,1,6,3,4]=>[3,1,6,7,2,5,4]=>[1,3,2,1]=>1100101=>4 [5,7,2,1,6,4,3]=>[3,1,6,7,2,4,5]=>[1,3,3]=>1100100=>3 [5,7,2,3,1,4,6]=>[3,1,6,5,7,4,2]=>[1,2,2,1,1]=>1101011=>4 [5,7,2,3,1,6,4]=>[3,1,6,5,7,2,4]=>[1,2,2,2]=>1101010=>5 [5,7,2,3,4,1,6]=>[3,1,6,5,4,7,2]=>[1,2,1,2,1]=>1101101=>4 [5,7,2,3,4,6,1]=>[3,1,6,5,4,2,7]=>[1,2,1,1,2]=>1101110=>3 [5,7,2,3,6,1,4]=>[3,1,6,5,2,7,4]=>[1,2,1,2,1]=>1101101=>4 [5,7,2,3,6,4,1]=>[3,1,6,5,2,4,7]=>[1,2,1,3]=>1101100=>3 [5,7,2,4,1,3,6]=>[3,1,6,4,7,5,2]=>[1,2,2,1,1]=>1101011=>4 [5,7,2,4,1,6,3]=>[3,1,6,4,7,2,5]=>[1,2,2,2]=>1101010=>5 [5,7,2,4,3,1,6]=>[3,1,6,4,5,7,2]=>[1,2,3,1]=>1101001=>4 [5,7,2,4,3,6,1]=>[3,1,6,4,5,2,7]=>[1,2,2,2]=>1101010=>5 [5,7,2,4,6,1,3]=>[3,1,6,4,2,7,5]=>[1,2,1,2,1]=>1101101=>4 [5,7,2,4,6,3,1]=>[3,1,6,4,2,5,7]=>[1,2,1,3]=>1101100=>3 [5,7,2,6,1,3,4]=>[3,1,6,2,7,5,4]=>[1,2,2,1,1]=>1101011=>4 [5,7,2,6,1,4,3]=>[3,1,6,2,7,4,5]=>[1,2,2,2]=>1101010=>5 [5,7,2,6,3,1,4]=>[3,1,6,2,5,7,4]=>[1,2,3,1]=>1101001=>4 [5,7,2,6,3,4,1]=>[3,1,6,2,5,4,7]=>[1,2,2,2]=>1101010=>5 [5,7,2,6,4,1,3]=>[3,1,6,2,4,7,5]=>[1,2,3,1]=>1101001=>4 [5,7,2,6,4,3,1]=>[3,1,6,2,4,5,7]=>[1,2,4]=>1101000=>3 [5,7,3,1,2,4,6]=>[3,1,5,7,6,4,2]=>[1,3,1,1,1]=>1100111=>2 [5,7,3,1,2,6,4]=>[3,1,5,7,6,2,4]=>[1,3,1,2]=>1100110=>3 [5,7,3,1,4,2,6]=>[3,1,5,7,4,6,2]=>[1,3,2,1]=>1100101=>4 [5,7,3,1,4,6,2]=>[3,1,5,7,4,2,6]=>[1,3,1,2]=>1100110=>3 [5,7,3,1,6,2,4]=>[3,1,5,7,2,6,4]=>[1,3,2,1]=>1100101=>4 [5,7,3,1,6,4,2]=>[3,1,5,7,2,4,6]=>[1,3,3]=>1100100=>3 [5,7,3,2,1,4,6]=>[3,1,5,6,7,4,2]=>[1,4,1,1]=>1100011=>2 [5,7,3,2,1,6,4]=>[3,1,5,6,7,2,4]=>[1,4,2]=>1100010=>3 [5,7,3,2,4,1,6]=>[3,1,5,6,4,7,2]=>[1,3,2,1]=>1100101=>4 [5,7,3,2,4,6,1]=>[3,1,5,6,4,2,7]=>[1,3,1,2]=>1100110=>3 [5,7,3,2,6,1,4]=>[3,1,5,6,2,7,4]=>[1,3,2,1]=>1100101=>4 [5,7,3,2,6,4,1]=>[3,1,5,6,2,4,7]=>[1,3,3]=>1100100=>3 [5,7,3,4,1,2,6]=>[3,1,5,4,7,6,2]=>[1,2,2,1,1]=>1101011=>4 [5,7,3,4,1,6,2]=>[3,1,5,4,7,2,6]=>[1,2,2,2]=>1101010=>5 [5,7,3,4,2,1,6]=>[3,1,5,4,6,7,2]=>[1,2,3,1]=>1101001=>4 [5,7,3,4,2,6,1]=>[3,1,5,4,6,2,7]=>[1,2,2,2]=>1101010=>5 [5,7,3,4,6,1,2]=>[3,1,5,4,2,7,6]=>[1,2,1,2,1]=>1101101=>4 [5,7,3,4,6,2,1]=>[3,1,5,4,2,6,7]=>[1,2,1,3]=>1101100=>3 [5,7,3,6,1,2,4]=>[3,1,5,2,7,6,4]=>[1,2,2,1,1]=>1101011=>4 [5,7,3,6,1,4,2]=>[3,1,5,2,7,4,6]=>[1,2,2,2]=>1101010=>5 [5,7,3,6,2,1,4]=>[3,1,5,2,6,7,4]=>[1,2,3,1]=>1101001=>4 [5,7,3,6,2,4,1]=>[3,1,5,2,6,4,7]=>[1,2,2,2]=>1101010=>5 [5,7,3,6,4,1,2]=>[3,1,5,2,4,7,6]=>[1,2,3,1]=>1101001=>4 [5,7,3,6,4,2,1]=>[3,1,5,2,4,6,7]=>[1,2,4]=>1101000=>3 [5,7,4,1,2,3,6]=>[3,1,4,7,6,5,2]=>[1,3,1,1,1]=>1100111=>2 [5,7,4,1,2,6,3]=>[3,1,4,7,6,2,5]=>[1,3,1,2]=>1100110=>3 [5,7,4,1,3,2,6]=>[3,1,4,7,5,6,2]=>[1,3,2,1]=>1100101=>4 [5,7,4,1,3,6,2]=>[3,1,4,7,5,2,6]=>[1,3,1,2]=>1100110=>3 [5,7,4,1,6,2,3]=>[3,1,4,7,2,6,5]=>[1,3,2,1]=>1100101=>4 [5,7,4,1,6,3,2]=>[3,1,4,7,2,5,6]=>[1,3,3]=>1100100=>3 [5,7,4,2,1,3,6]=>[3,1,4,6,7,5,2]=>[1,4,1,1]=>1100011=>2 [5,7,4,2,1,6,3]=>[3,1,4,6,7,2,5]=>[1,4,2]=>1100010=>3 [5,7,4,2,3,1,6]=>[3,1,4,6,5,7,2]=>[1,3,2,1]=>1100101=>4 [5,7,4,2,3,6,1]=>[3,1,4,6,5,2,7]=>[1,3,1,2]=>1100110=>3 [5,7,4,2,6,1,3]=>[3,1,4,6,2,7,5]=>[1,3,2,1]=>1100101=>4 [5,7,4,2,6,3,1]=>[3,1,4,6,2,5,7]=>[1,3,3]=>1100100=>3 [5,7,4,3,1,2,6]=>[3,1,4,5,7,6,2]=>[1,4,1,1]=>1100011=>2 [5,7,4,3,1,6,2]=>[3,1,4,5,7,2,6]=>[1,4,2]=>1100010=>3 [5,7,4,3,2,1,6]=>[3,1,4,5,6,7,2]=>[1,5,1]=>1100001=>2 [5,7,4,3,2,6,1]=>[3,1,4,5,6,2,7]=>[1,4,2]=>1100010=>3 [5,7,4,3,6,1,2]=>[3,1,4,5,2,7,6]=>[1,3,2,1]=>1100101=>4 [5,7,4,3,6,2,1]=>[3,1,4,5,2,6,7]=>[1,3,3]=>1100100=>3 [5,7,4,6,1,2,3]=>[3,1,4,2,7,6,5]=>[1,2,2,1,1]=>1101011=>4 [5,7,4,6,1,3,2]=>[3,1,4,2,7,5,6]=>[1,2,2,2]=>1101010=>5 [5,7,4,6,2,1,3]=>[3,1,4,2,6,7,5]=>[1,2,3,1]=>1101001=>4 [5,7,4,6,2,3,1]=>[3,1,4,2,6,5,7]=>[1,2,2,2]=>1101010=>5 [5,7,4,6,3,1,2]=>[3,1,4,2,5,7,6]=>[1,2,3,1]=>1101001=>4 [5,7,4,6,3,2,1]=>[3,1,4,2,5,6,7]=>[1,2,4]=>1101000=>3 [5,7,6,1,2,3,4]=>[3,1,2,7,6,5,4]=>[1,3,1,1,1]=>1100111=>2 [5,7,6,1,2,4,3]=>[3,1,2,7,6,4,5]=>[1,3,1,2]=>1100110=>3 [5,7,6,1,3,2,4]=>[3,1,2,7,5,6,4]=>[1,3,2,1]=>1100101=>4 [5,7,6,1,3,4,2]=>[3,1,2,7,5,4,6]=>[1,3,1,2]=>1100110=>3 [5,7,6,1,4,2,3]=>[3,1,2,7,4,6,5]=>[1,3,2,1]=>1100101=>4 [5,7,6,1,4,3,2]=>[3,1,2,7,4,5,6]=>[1,3,3]=>1100100=>3 [5,7,6,2,1,3,4]=>[3,1,2,6,7,5,4]=>[1,4,1,1]=>1100011=>2 [5,7,6,2,1,4,3]=>[3,1,2,6,7,4,5]=>[1,4,2]=>1100010=>3 [5,7,6,2,3,1,4]=>[3,1,2,6,5,7,4]=>[1,3,2,1]=>1100101=>4 [5,7,6,2,3,4,1]=>[3,1,2,6,5,4,7]=>[1,3,1,2]=>1100110=>3 [5,7,6,2,4,1,3]=>[3,1,2,6,4,7,5]=>[1,3,2,1]=>1100101=>4 [5,7,6,2,4,3,1]=>[3,1,2,6,4,5,7]=>[1,3,3]=>1100100=>3 [5,7,6,3,1,2,4]=>[3,1,2,5,7,6,4]=>[1,4,1,1]=>1100011=>2 [5,7,6,3,1,4,2]=>[3,1,2,5,7,4,6]=>[1,4,2]=>1100010=>3 [5,7,6,3,2,1,4]=>[3,1,2,5,6,7,4]=>[1,5,1]=>1100001=>2 [5,7,6,3,2,4,1]=>[3,1,2,5,6,4,7]=>[1,4,2]=>1100010=>3 [5,7,6,3,4,1,2]=>[3,1,2,5,4,7,6]=>[1,3,2,1]=>1100101=>4 [5,7,6,3,4,2,1]=>[3,1,2,5,4,6,7]=>[1,3,3]=>1100100=>3 [5,7,6,4,1,2,3]=>[3,1,2,4,7,6,5]=>[1,4,1,1]=>1100011=>2 [5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[1,4,2]=>1100010=>3 [5,7,6,4,2,1,3]=>[3,1,2,4,6,7,5]=>[1,5,1]=>1100001=>2 [5,7,6,4,2,3,1]=>[3,1,2,4,6,5,7]=>[1,4,2]=>1100010=>3 [5,7,6,4,3,1,2]=>[3,1,2,4,5,7,6]=>[1,5,1]=>1100001=>2 [5,7,6,4,3,2,1]=>[3,1,2,4,5,6,7]=>[1,6]=>1100000=>1 [6,1,2,3,4,5,7]=>[2,7,6,5,4,3,1]=>[2,1,1,1,1,1]=>1011111=>2 [6,1,2,3,4,7,5]=>[2,7,6,5,4,1,3]=>[2,1,1,1,2]=>1011110=>3 [6,1,2,3,5,4,7]=>[2,7,6,5,3,4,1]=>[2,1,1,2,1]=>1011101=>4 [6,1,2,3,5,7,4]=>[2,7,6,5,3,1,4]=>[2,1,1,1,2]=>1011110=>3 [6,1,2,3,7,4,5]=>[2,7,6,5,1,4,3]=>[2,1,1,2,1]=>1011101=>4 [6,1,2,3,7,5,4]=>[2,7,6,5,1,3,4]=>[2,1,1,3]=>1011100=>3 [6,1,2,4,3,5,7]=>[2,7,6,4,5,3,1]=>[2,1,2,1,1]=>1011011=>4 [6,1,2,4,3,7,5]=>[2,7,6,4,5,1,3]=>[2,1,2,2]=>1011010=>5 [6,1,2,4,5,3,7]=>[2,7,6,4,3,5,1]=>[2,1,1,2,1]=>1011101=>4 [6,1,2,4,5,7,3]=>[2,7,6,4,3,1,5]=>[2,1,1,1,2]=>1011110=>3 [6,1,2,4,7,3,5]=>[2,7,6,4,1,5,3]=>[2,1,1,2,1]=>1011101=>4 [6,1,2,4,7,5,3]=>[2,7,6,4,1,3,5]=>[2,1,1,3]=>1011100=>3 [6,1,2,5,3,4,7]=>[2,7,6,3,5,4,1]=>[2,1,2,1,1]=>1011011=>4 [6,1,2,5,3,7,4]=>[2,7,6,3,5,1,4]=>[2,1,2,2]=>1011010=>5 [6,1,2,5,4,3,7]=>[2,7,6,3,4,5,1]=>[2,1,3,1]=>1011001=>4 [6,1,2,5,4,7,3]=>[2,7,6,3,4,1,5]=>[2,1,2,2]=>1011010=>5 [6,1,2,5,7,3,4]=>[2,7,6,3,1,5,4]=>[2,1,1,2,1]=>1011101=>4 [6,1,2,5,7,4,3]=>[2,7,6,3,1,4,5]=>[2,1,1,3]=>1011100=>3 [6,1,2,7,3,4,5]=>[2,7,6,1,5,4,3]=>[2,1,2,1,1]=>1011011=>4 [6,1,2,7,3,5,4]=>[2,7,6,1,5,3,4]=>[2,1,2,2]=>1011010=>5 [6,1,2,7,4,3,5]=>[2,7,6,1,4,5,3]=>[2,1,3,1]=>1011001=>4 [6,1,2,7,4,5,3]=>[2,7,6,1,4,3,5]=>[2,1,2,2]=>1011010=>5 [6,1,2,7,5,3,4]=>[2,7,6,1,3,5,4]=>[2,1,3,1]=>1011001=>4 [6,1,2,7,5,4,3]=>[2,7,6,1,3,4,5]=>[2,1,4]=>1011000=>3 [6,1,3,2,4,5,7]=>[2,7,5,6,4,3,1]=>[2,2,1,1,1]=>1010111=>4 [6,1,3,2,4,7,5]=>[2,7,5,6,4,1,3]=>[2,2,1,2]=>1010110=>5 [6,1,3,2,5,4,7]=>[2,7,5,6,3,4,1]=>[2,2,2,1]=>1010101=>6 [6,1,3,2,5,7,4]=>[2,7,5,6,3,1,4]=>[2,2,1,2]=>1010110=>5 [6,1,3,2,7,4,5]=>[2,7,5,6,1,4,3]=>[2,2,2,1]=>1010101=>6 [6,1,3,2,7,5,4]=>[2,7,5,6,1,3,4]=>[2,2,3]=>1010100=>5 [6,1,3,4,2,5,7]=>[2,7,5,4,6,3,1]=>[2,1,2,1,1]=>1011011=>4 [6,1,3,4,2,7,5]=>[2,7,5,4,6,1,3]=>[2,1,2,2]=>1011010=>5 [6,1,3,4,5,2,7]=>[2,7,5,4,3,6,1]=>[2,1,1,2,1]=>1011101=>4 [6,1,3,4,5,7,2]=>[2,7,5,4,3,1,6]=>[2,1,1,1,2]=>1011110=>3 [6,1,3,4,7,2,5]=>[2,7,5,4,1,6,3]=>[2,1,1,2,1]=>1011101=>4 [6,1,3,4,7,5,2]=>[2,7,5,4,1,3,6]=>[2,1,1,3]=>1011100=>3 [6,1,3,5,2,4,7]=>[2,7,5,3,6,4,1]=>[2,1,2,1,1]=>1011011=>4 [6,1,3,5,2,7,4]=>[2,7,5,3,6,1,4]=>[2,1,2,2]=>1011010=>5 [6,1,3,5,4,2,7]=>[2,7,5,3,4,6,1]=>[2,1,3,1]=>1011001=>4 [6,1,3,5,4,7,2]=>[2,7,5,3,4,1,6]=>[2,1,2,2]=>1011010=>5 [6,1,3,5,7,2,4]=>[2,7,5,3,1,6,4]=>[2,1,1,2,1]=>1011101=>4 [6,1,3,5,7,4,2]=>[2,7,5,3,1,4,6]=>[2,1,1,3]=>1011100=>3 [6,1,3,7,2,4,5]=>[2,7,5,1,6,4,3]=>[2,1,2,1,1]=>1011011=>4 [6,1,3,7,2,5,4]=>[2,7,5,1,6,3,4]=>[2,1,2,2]=>1011010=>5 [6,1,3,7,4,2,5]=>[2,7,5,1,4,6,3]=>[2,1,3,1]=>1011001=>4 [6,1,3,7,4,5,2]=>[2,7,5,1,4,3,6]=>[2,1,2,2]=>1011010=>5 [6,1,3,7,5,2,4]=>[2,7,5,1,3,6,4]=>[2,1,3,1]=>1011001=>4 [6,1,3,7,5,4,2]=>[2,7,5,1,3,4,6]=>[2,1,4]=>1011000=>3 [6,1,4,2,3,5,7]=>[2,7,4,6,5,3,1]=>[2,2,1,1,1]=>1010111=>4 [6,1,4,2,3,7,5]=>[2,7,4,6,5,1,3]=>[2,2,1,2]=>1010110=>5 [6,1,4,2,5,3,7]=>[2,7,4,6,3,5,1]=>[2,2,2,1]=>1010101=>6 [6,1,4,2,5,7,3]=>[2,7,4,6,3,1,5]=>[2,2,1,2]=>1010110=>5 [6,1,4,2,7,3,5]=>[2,7,4,6,1,5,3]=>[2,2,2,1]=>1010101=>6 [6,1,4,2,7,5,3]=>[2,7,4,6,1,3,5]=>[2,2,3]=>1010100=>5 [6,1,4,3,2,5,7]=>[2,7,4,5,6,3,1]=>[2,3,1,1]=>1010011=>4 [6,1,4,3,2,7,5]=>[2,7,4,5,6,1,3]=>[2,3,2]=>1010010=>5 [6,1,4,3,5,2,7]=>[2,7,4,5,3,6,1]=>[2,2,2,1]=>1010101=>6 [6,1,4,3,5,7,2]=>[2,7,4,5,3,1,6]=>[2,2,1,2]=>1010110=>5 [6,1,4,3,7,2,5]=>[2,7,4,5,1,6,3]=>[2,2,2,1]=>1010101=>6 [6,1,4,3,7,5,2]=>[2,7,4,5,1,3,6]=>[2,2,3]=>1010100=>5 [6,1,4,5,2,3,7]=>[2,7,4,3,6,5,1]=>[2,1,2,1,1]=>1011011=>4 [6,1,4,5,2,7,3]=>[2,7,4,3,6,1,5]=>[2,1,2,2]=>1011010=>5 [6,1,4,5,3,2,7]=>[2,7,4,3,5,6,1]=>[2,1,3,1]=>1011001=>4 [6,1,4,5,3,7,2]=>[2,7,4,3,5,1,6]=>[2,1,2,2]=>1011010=>5 [6,1,4,5,7,2,3]=>[2,7,4,3,1,6,5]=>[2,1,1,2,1]=>1011101=>4 [6,1,4,5,7,3,2]=>[2,7,4,3,1,5,6]=>[2,1,1,3]=>1011100=>3 [6,1,4,7,2,3,5]=>[2,7,4,1,6,5,3]=>[2,1,2,1,1]=>1011011=>4 [6,1,4,7,2,5,3]=>[2,7,4,1,6,3,5]=>[2,1,2,2]=>1011010=>5 [6,1,4,7,3,2,5]=>[2,7,4,1,5,6,3]=>[2,1,3,1]=>1011001=>4 [6,1,4,7,3,5,2]=>[2,7,4,1,5,3,6]=>[2,1,2,2]=>1011010=>5 [6,1,4,7,5,2,3]=>[2,7,4,1,3,6,5]=>[2,1,3,1]=>1011001=>4 [6,1,4,7,5,3,2]=>[2,7,4,1,3,5,6]=>[2,1,4]=>1011000=>3 [6,1,5,2,3,4,7]=>[2,7,3,6,5,4,1]=>[2,2,1,1,1]=>1010111=>4 [6,1,5,2,3,7,4]=>[2,7,3,6,5,1,4]=>[2,2,1,2]=>1010110=>5 [6,1,5,2,4,3,7]=>[2,7,3,6,4,5,1]=>[2,2,2,1]=>1010101=>6 [6,1,5,2,4,7,3]=>[2,7,3,6,4,1,5]=>[2,2,1,2]=>1010110=>5 [6,1,5,2,7,3,4]=>[2,7,3,6,1,5,4]=>[2,2,2,1]=>1010101=>6 [6,1,5,2,7,4,3]=>[2,7,3,6,1,4,5]=>[2,2,3]=>1010100=>5 [6,1,5,3,2,4,7]=>[2,7,3,5,6,4,1]=>[2,3,1,1]=>1010011=>4 [6,1,5,3,2,7,4]=>[2,7,3,5,6,1,4]=>[2,3,2]=>1010010=>5 [6,1,5,3,4,2,7]=>[2,7,3,5,4,6,1]=>[2,2,2,1]=>1010101=>6 [6,1,5,3,4,7,2]=>[2,7,3,5,4,1,6]=>[2,2,1,2]=>1010110=>5 [6,1,5,3,7,2,4]=>[2,7,3,5,1,6,4]=>[2,2,2,1]=>1010101=>6 [6,1,5,3,7,4,2]=>[2,7,3,5,1,4,6]=>[2,2,3]=>1010100=>5 [6,1,5,4,2,3,7]=>[2,7,3,4,6,5,1]=>[2,3,1,1]=>1010011=>4 [6,1,5,4,2,7,3]=>[2,7,3,4,6,1,5]=>[2,3,2]=>1010010=>5 [6,1,5,4,3,2,7]=>[2,7,3,4,5,6,1]=>[2,4,1]=>1010001=>4 [6,1,5,4,3,7,2]=>[2,7,3,4,5,1,6]=>[2,3,2]=>1010010=>5 [6,1,5,4,7,2,3]=>[2,7,3,4,1,6,5]=>[2,2,2,1]=>1010101=>6 [6,1,5,4,7,3,2]=>[2,7,3,4,1,5,6]=>[2,2,3]=>1010100=>5 [6,1,5,7,2,3,4]=>[2,7,3,1,6,5,4]=>[2,1,2,1,1]=>1011011=>4 [6,1,5,7,2,4,3]=>[2,7,3,1,6,4,5]=>[2,1,2,2]=>1011010=>5 [6,1,5,7,3,2,4]=>[2,7,3,1,5,6,4]=>[2,1,3,1]=>1011001=>4 [6,1,5,7,3,4,2]=>[2,7,3,1,5,4,6]=>[2,1,2,2]=>1011010=>5 [6,1,5,7,4,2,3]=>[2,7,3,1,4,6,5]=>[2,1,3,1]=>1011001=>4 [6,1,5,7,4,3,2]=>[2,7,3,1,4,5,6]=>[2,1,4]=>1011000=>3 [6,1,7,2,3,4,5]=>[2,7,1,6,5,4,3]=>[2,2,1,1,1]=>1010111=>4 [6,1,7,2,3,5,4]=>[2,7,1,6,5,3,4]=>[2,2,1,2]=>1010110=>5 [6,1,7,2,4,3,5]=>[2,7,1,6,4,5,3]=>[2,2,2,1]=>1010101=>6 [6,1,7,2,4,5,3]=>[2,7,1,6,4,3,5]=>[2,2,1,2]=>1010110=>5 [6,1,7,2,5,3,4]=>[2,7,1,6,3,5,4]=>[2,2,2,1]=>1010101=>6 [6,1,7,2,5,4,3]=>[2,7,1,6,3,4,5]=>[2,2,3]=>1010100=>5 [6,1,7,3,2,4,5]=>[2,7,1,5,6,4,3]=>[2,3,1,1]=>1010011=>4 [6,1,7,3,2,5,4]=>[2,7,1,5,6,3,4]=>[2,3,2]=>1010010=>5 [6,1,7,3,4,2,5]=>[2,7,1,5,4,6,3]=>[2,2,2,1]=>1010101=>6 [6,1,7,3,4,5,2]=>[2,7,1,5,4,3,6]=>[2,2,1,2]=>1010110=>5 [6,1,7,3,5,2,4]=>[2,7,1,5,3,6,4]=>[2,2,2,1]=>1010101=>6 [6,1,7,3,5,4,2]=>[2,7,1,5,3,4,6]=>[2,2,3]=>1010100=>5 [6,1,7,4,2,3,5]=>[2,7,1,4,6,5,3]=>[2,3,1,1]=>1010011=>4 [6,1,7,4,2,5,3]=>[2,7,1,4,6,3,5]=>[2,3,2]=>1010010=>5 [6,1,7,4,3,2,5]=>[2,7,1,4,5,6,3]=>[2,4,1]=>1010001=>4 [6,1,7,4,3,5,2]=>[2,7,1,4,5,3,6]=>[2,3,2]=>1010010=>5 [6,1,7,4,5,2,3]=>[2,7,1,4,3,6,5]=>[2,2,2,1]=>1010101=>6 [6,1,7,4,5,3,2]=>[2,7,1,4,3,5,6]=>[2,2,3]=>1010100=>5 [6,1,7,5,2,3,4]=>[2,7,1,3,6,5,4]=>[2,3,1,1]=>1010011=>4 [6,1,7,5,2,4,3]=>[2,7,1,3,6,4,5]=>[2,3,2]=>1010010=>5 [6,1,7,5,3,2,4]=>[2,7,1,3,5,6,4]=>[2,4,1]=>1010001=>4 [6,1,7,5,3,4,2]=>[2,7,1,3,5,4,6]=>[2,3,2]=>1010010=>5 [6,1,7,5,4,2,3]=>[2,7,1,3,4,6,5]=>[2,4,1]=>1010001=>4 [6,1,7,5,4,3,2]=>[2,7,1,3,4,5,6]=>[2,5]=>1010000=>3 [6,2,1,3,4,5,7]=>[2,6,7,5,4,3,1]=>[3,1,1,1,1]=>1001111=>2 [6,2,1,3,4,7,5]=>[2,6,7,5,4,1,3]=>[3,1,1,2]=>1001110=>3 [6,2,1,3,5,4,7]=>[2,6,7,5,3,4,1]=>[3,1,2,1]=>1001101=>4 [6,2,1,3,5,7,4]=>[2,6,7,5,3,1,4]=>[3,1,1,2]=>1001110=>3 [6,2,1,3,7,4,5]=>[2,6,7,5,1,4,3]=>[3,1,2,1]=>1001101=>4 [6,2,1,3,7,5,4]=>[2,6,7,5,1,3,4]=>[3,1,3]=>1001100=>3 [6,2,1,4,3,5,7]=>[2,6,7,4,5,3,1]=>[3,2,1,1]=>1001011=>4 [6,2,1,4,3,7,5]=>[2,6,7,4,5,1,3]=>[3,2,2]=>1001010=>5 [6,2,1,4,5,3,7]=>[2,6,7,4,3,5,1]=>[3,1,2,1]=>1001101=>4 [6,2,1,4,5,7,3]=>[2,6,7,4,3,1,5]=>[3,1,1,2]=>1001110=>3 [6,2,1,4,7,3,5]=>[2,6,7,4,1,5,3]=>[3,1,2,1]=>1001101=>4 [6,2,1,4,7,5,3]=>[2,6,7,4,1,3,5]=>[3,1,3]=>1001100=>3 [6,2,1,5,3,4,7]=>[2,6,7,3,5,4,1]=>[3,2,1,1]=>1001011=>4 [6,2,1,5,3,7,4]=>[2,6,7,3,5,1,4]=>[3,2,2]=>1001010=>5 [6,2,1,5,4,3,7]=>[2,6,7,3,4,5,1]=>[3,3,1]=>1001001=>4 [6,2,1,5,4,7,3]=>[2,6,7,3,4,1,5]=>[3,2,2]=>1001010=>5 [6,2,1,5,7,3,4]=>[2,6,7,3,1,5,4]=>[3,1,2,1]=>1001101=>4 [6,2,1,5,7,4,3]=>[2,6,7,3,1,4,5]=>[3,1,3]=>1001100=>3 [6,2,1,7,3,4,5]=>[2,6,7,1,5,4,3]=>[3,2,1,1]=>1001011=>4 [6,2,1,7,3,5,4]=>[2,6,7,1,5,3,4]=>[3,2,2]=>1001010=>5 [6,2,1,7,4,3,5]=>[2,6,7,1,4,5,3]=>[3,3,1]=>1001001=>4 [6,2,1,7,4,5,3]=>[2,6,7,1,4,3,5]=>[3,2,2]=>1001010=>5 [6,2,1,7,5,3,4]=>[2,6,7,1,3,5,4]=>[3,3,1]=>1001001=>4 [6,2,1,7,5,4,3]=>[2,6,7,1,3,4,5]=>[3,4]=>1001000=>3 [6,2,3,1,4,5,7]=>[2,6,5,7,4,3,1]=>[2,2,1,1,1]=>1010111=>4 [6,2,3,1,4,7,5]=>[2,6,5,7,4,1,3]=>[2,2,1,2]=>1010110=>5 [6,2,3,1,5,4,7]=>[2,6,5,7,3,4,1]=>[2,2,2,1]=>1010101=>6 [6,2,3,1,5,7,4]=>[2,6,5,7,3,1,4]=>[2,2,1,2]=>1010110=>5 [6,2,3,1,7,4,5]=>[2,6,5,7,1,4,3]=>[2,2,2,1]=>1010101=>6 [6,2,3,1,7,5,4]=>[2,6,5,7,1,3,4]=>[2,2,3]=>1010100=>5 [6,2,3,4,1,5,7]=>[2,6,5,4,7,3,1]=>[2,1,2,1,1]=>1011011=>4 [6,2,3,4,1,7,5]=>[2,6,5,4,7,1,3]=>[2,1,2,2]=>1011010=>5 [6,2,3,4,5,1,7]=>[2,6,5,4,3,7,1]=>[2,1,1,2,1]=>1011101=>4 [6,2,3,4,5,7,1]=>[2,6,5,4,3,1,7]=>[2,1,1,1,2]=>1011110=>3 [6,2,3,4,7,1,5]=>[2,6,5,4,1,7,3]=>[2,1,1,2,1]=>1011101=>4 [6,2,3,4,7,5,1]=>[2,6,5,4,1,3,7]=>[2,1,1,3]=>1011100=>3 [6,2,3,5,1,4,7]=>[2,6,5,3,7,4,1]=>[2,1,2,1,1]=>1011011=>4 [6,2,3,5,1,7,4]=>[2,6,5,3,7,1,4]=>[2,1,2,2]=>1011010=>5 [6,2,3,5,4,1,7]=>[2,6,5,3,4,7,1]=>[2,1,3,1]=>1011001=>4 [6,2,3,5,4,7,1]=>[2,6,5,3,4,1,7]=>[2,1,2,2]=>1011010=>5 [6,2,3,5,7,1,4]=>[2,6,5,3,1,7,4]=>[2,1,1,2,1]=>1011101=>4 [6,2,3,5,7,4,1]=>[2,6,5,3,1,4,7]=>[2,1,1,3]=>1011100=>3 [6,2,3,7,1,4,5]=>[2,6,5,1,7,4,3]=>[2,1,2,1,1]=>1011011=>4 [6,2,3,7,1,5,4]=>[2,6,5,1,7,3,4]=>[2,1,2,2]=>1011010=>5 [6,2,3,7,4,1,5]=>[2,6,5,1,4,7,3]=>[2,1,3,1]=>1011001=>4 [6,2,3,7,4,5,1]=>[2,6,5,1,4,3,7]=>[2,1,2,2]=>1011010=>5 [6,2,3,7,5,1,4]=>[2,6,5,1,3,7,4]=>[2,1,3,1]=>1011001=>4 [6,2,3,7,5,4,1]=>[2,6,5,1,3,4,7]=>[2,1,4]=>1011000=>3 [6,2,4,1,3,5,7]=>[2,6,4,7,5,3,1]=>[2,2,1,1,1]=>1010111=>4 [6,2,4,1,3,7,5]=>[2,6,4,7,5,1,3]=>[2,2,1,2]=>1010110=>5 [6,2,4,1,5,3,7]=>[2,6,4,7,3,5,1]=>[2,2,2,1]=>1010101=>6 [6,2,4,1,5,7,3]=>[2,6,4,7,3,1,5]=>[2,2,1,2]=>1010110=>5 [6,2,4,1,7,3,5]=>[2,6,4,7,1,5,3]=>[2,2,2,1]=>1010101=>6 [6,2,4,1,7,5,3]=>[2,6,4,7,1,3,5]=>[2,2,3]=>1010100=>5 [6,2,4,3,1,5,7]=>[2,6,4,5,7,3,1]=>[2,3,1,1]=>1010011=>4 [6,2,4,3,1,7,5]=>[2,6,4,5,7,1,3]=>[2,3,2]=>1010010=>5 [6,2,4,3,5,1,7]=>[2,6,4,5,3,7,1]=>[2,2,2,1]=>1010101=>6 [6,2,4,3,5,7,1]=>[2,6,4,5,3,1,7]=>[2,2,1,2]=>1010110=>5 [6,2,4,3,7,1,5]=>[2,6,4,5,1,7,3]=>[2,2,2,1]=>1010101=>6 [6,2,4,3,7,5,1]=>[2,6,4,5,1,3,7]=>[2,2,3]=>1010100=>5 [6,2,4,5,1,3,7]=>[2,6,4,3,7,5,1]=>[2,1,2,1,1]=>1011011=>4 [6,2,4,5,1,7,3]=>[2,6,4,3,7,1,5]=>[2,1,2,2]=>1011010=>5 [6,2,4,5,3,1,7]=>[2,6,4,3,5,7,1]=>[2,1,3,1]=>1011001=>4 [6,2,4,5,3,7,1]=>[2,6,4,3,5,1,7]=>[2,1,2,2]=>1011010=>5 [6,2,4,5,7,1,3]=>[2,6,4,3,1,7,5]=>[2,1,1,2,1]=>1011101=>4 [6,2,4,5,7,3,1]=>[2,6,4,3,1,5,7]=>[2,1,1,3]=>1011100=>3 [6,2,4,7,1,3,5]=>[2,6,4,1,7,5,3]=>[2,1,2,1,1]=>1011011=>4 [6,2,4,7,1,5,3]=>[2,6,4,1,7,3,5]=>[2,1,2,2]=>1011010=>5 [6,2,4,7,3,1,5]=>[2,6,4,1,5,7,3]=>[2,1,3,1]=>1011001=>4 [6,2,4,7,3,5,1]=>[2,6,4,1,5,3,7]=>[2,1,2,2]=>1011010=>5 [6,2,4,7,5,1,3]=>[2,6,4,1,3,7,5]=>[2,1,3,1]=>1011001=>4 [6,2,4,7,5,3,1]=>[2,6,4,1,3,5,7]=>[2,1,4]=>1011000=>3 [6,2,5,1,3,4,7]=>[2,6,3,7,5,4,1]=>[2,2,1,1,1]=>1010111=>4 [6,2,5,1,3,7,4]=>[2,6,3,7,5,1,4]=>[2,2,1,2]=>1010110=>5 [6,2,5,1,4,3,7]=>[2,6,3,7,4,5,1]=>[2,2,2,1]=>1010101=>6 [6,2,5,1,4,7,3]=>[2,6,3,7,4,1,5]=>[2,2,1,2]=>1010110=>5 [6,2,5,1,7,3,4]=>[2,6,3,7,1,5,4]=>[2,2,2,1]=>1010101=>6 [6,2,5,1,7,4,3]=>[2,6,3,7,1,4,5]=>[2,2,3]=>1010100=>5 [6,2,5,3,1,4,7]=>[2,6,3,5,7,4,1]=>[2,3,1,1]=>1010011=>4 [6,2,5,3,1,7,4]=>[2,6,3,5,7,1,4]=>[2,3,2]=>1010010=>5 [6,2,5,3,4,1,7]=>[2,6,3,5,4,7,1]=>[2,2,2,1]=>1010101=>6 [6,2,5,3,4,7,1]=>[2,6,3,5,4,1,7]=>[2,2,1,2]=>1010110=>5 [6,2,5,3,7,1,4]=>[2,6,3,5,1,7,4]=>[2,2,2,1]=>1010101=>6 [6,2,5,3,7,4,1]=>[2,6,3,5,1,4,7]=>[2,2,3]=>1010100=>5 [6,2,5,4,1,3,7]=>[2,6,3,4,7,5,1]=>[2,3,1,1]=>1010011=>4 [6,2,5,4,1,7,3]=>[2,6,3,4,7,1,5]=>[2,3,2]=>1010010=>5 [6,2,5,4,3,1,7]=>[2,6,3,4,5,7,1]=>[2,4,1]=>1010001=>4 [6,2,5,4,3,7,1]=>[2,6,3,4,5,1,7]=>[2,3,2]=>1010010=>5 [6,2,5,4,7,1,3]=>[2,6,3,4,1,7,5]=>[2,2,2,1]=>1010101=>6 [6,2,5,4,7,3,1]=>[2,6,3,4,1,5,7]=>[2,2,3]=>1010100=>5 [6,2,5,7,1,3,4]=>[2,6,3,1,7,5,4]=>[2,1,2,1,1]=>1011011=>4 [6,2,5,7,1,4,3]=>[2,6,3,1,7,4,5]=>[2,1,2,2]=>1011010=>5 [6,2,5,7,3,1,4]=>[2,6,3,1,5,7,4]=>[2,1,3,1]=>1011001=>4 [6,2,5,7,3,4,1]=>[2,6,3,1,5,4,7]=>[2,1,2,2]=>1011010=>5 [6,2,5,7,4,1,3]=>[2,6,3,1,4,7,5]=>[2,1,3,1]=>1011001=>4 [6,2,5,7,4,3,1]=>[2,6,3,1,4,5,7]=>[2,1,4]=>1011000=>3 [6,2,7,1,3,4,5]=>[2,6,1,7,5,4,3]=>[2,2,1,1,1]=>1010111=>4 [6,2,7,1,3,5,4]=>[2,6,1,7,5,3,4]=>[2,2,1,2]=>1010110=>5 [6,2,7,1,4,3,5]=>[2,6,1,7,4,5,3]=>[2,2,2,1]=>1010101=>6 [6,2,7,1,4,5,3]=>[2,6,1,7,4,3,5]=>[2,2,1,2]=>1010110=>5 [6,2,7,1,5,3,4]=>[2,6,1,7,3,5,4]=>[2,2,2,1]=>1010101=>6 [6,2,7,1,5,4,3]=>[2,6,1,7,3,4,5]=>[2,2,3]=>1010100=>5 [6,2,7,3,1,4,5]=>[2,6,1,5,7,4,3]=>[2,3,1,1]=>1010011=>4 [6,2,7,3,1,5,4]=>[2,6,1,5,7,3,4]=>[2,3,2]=>1010010=>5 [6,2,7,3,4,1,5]=>[2,6,1,5,4,7,3]=>[2,2,2,1]=>1010101=>6 [6,2,7,3,4,5,1]=>[2,6,1,5,4,3,7]=>[2,2,1,2]=>1010110=>5 [6,2,7,3,5,1,4]=>[2,6,1,5,3,7,4]=>[2,2,2,1]=>1010101=>6 [6,2,7,3,5,4,1]=>[2,6,1,5,3,4,7]=>[2,2,3]=>1010100=>5 [6,2,7,4,1,3,5]=>[2,6,1,4,7,5,3]=>[2,3,1,1]=>1010011=>4 [6,2,7,4,1,5,3]=>[2,6,1,4,7,3,5]=>[2,3,2]=>1010010=>5 [6,2,7,4,3,1,5]=>[2,6,1,4,5,7,3]=>[2,4,1]=>1010001=>4 [6,2,7,4,3,5,1]=>[2,6,1,4,5,3,7]=>[2,3,2]=>1010010=>5 [6,2,7,4,5,1,3]=>[2,6,1,4,3,7,5]=>[2,2,2,1]=>1010101=>6 [6,2,7,4,5,3,1]=>[2,6,1,4,3,5,7]=>[2,2,3]=>1010100=>5 [6,2,7,5,1,3,4]=>[2,6,1,3,7,5,4]=>[2,3,1,1]=>1010011=>4 [6,2,7,5,1,4,3]=>[2,6,1,3,7,4,5]=>[2,3,2]=>1010010=>5 [6,2,7,5,3,1,4]=>[2,6,1,3,5,7,4]=>[2,4,1]=>1010001=>4 [6,2,7,5,3,4,1]=>[2,6,1,3,5,4,7]=>[2,3,2]=>1010010=>5 [6,2,7,5,4,1,3]=>[2,6,1,3,4,7,5]=>[2,4,1]=>1010001=>4 [6,2,7,5,4,3,1]=>[2,6,1,3,4,5,7]=>[2,5]=>1010000=>3 [6,3,1,2,4,5,7]=>[2,5,7,6,4,3,1]=>[3,1,1,1,1]=>1001111=>2 [6,3,1,2,4,7,5]=>[2,5,7,6,4,1,3]=>[3,1,1,2]=>1001110=>3 [6,3,1,2,5,4,7]=>[2,5,7,6,3,4,1]=>[3,1,2,1]=>1001101=>4 [6,3,1,2,5,7,4]=>[2,5,7,6,3,1,4]=>[3,1,1,2]=>1001110=>3 [6,3,1,2,7,4,5]=>[2,5,7,6,1,4,3]=>[3,1,2,1]=>1001101=>4 [6,3,1,2,7,5,4]=>[2,5,7,6,1,3,4]=>[3,1,3]=>1001100=>3 [6,3,1,4,2,5,7]=>[2,5,7,4,6,3,1]=>[3,2,1,1]=>1001011=>4 [6,3,1,4,2,7,5]=>[2,5,7,4,6,1,3]=>[3,2,2]=>1001010=>5 [6,3,1,4,5,2,7]=>[2,5,7,4,3,6,1]=>[3,1,2,1]=>1001101=>4 [6,3,1,4,5,7,2]=>[2,5,7,4,3,1,6]=>[3,1,1,2]=>1001110=>3 [6,3,1,4,7,2,5]=>[2,5,7,4,1,6,3]=>[3,1,2,1]=>1001101=>4 [6,3,1,4,7,5,2]=>[2,5,7,4,1,3,6]=>[3,1,3]=>1001100=>3 [6,3,1,5,2,4,7]=>[2,5,7,3,6,4,1]=>[3,2,1,1]=>1001011=>4 [6,3,1,5,2,7,4]=>[2,5,7,3,6,1,4]=>[3,2,2]=>1001010=>5 [6,3,1,5,4,2,7]=>[2,5,7,3,4,6,1]=>[3,3,1]=>1001001=>4 [6,3,1,5,4,7,2]=>[2,5,7,3,4,1,6]=>[3,2,2]=>1001010=>5 [6,3,1,5,7,2,4]=>[2,5,7,3,1,6,4]=>[3,1,2,1]=>1001101=>4 [6,3,1,5,7,4,2]=>[2,5,7,3,1,4,6]=>[3,1,3]=>1001100=>3 [6,3,1,7,2,4,5]=>[2,5,7,1,6,4,3]=>[3,2,1,1]=>1001011=>4 [6,3,1,7,2,5,4]=>[2,5,7,1,6,3,4]=>[3,2,2]=>1001010=>5 [6,3,1,7,4,2,5]=>[2,5,7,1,4,6,3]=>[3,3,1]=>1001001=>4 [6,3,1,7,4,5,2]=>[2,5,7,1,4,3,6]=>[3,2,2]=>1001010=>5 [6,3,1,7,5,2,4]=>[2,5,7,1,3,6,4]=>[3,3,1]=>1001001=>4 [6,3,1,7,5,4,2]=>[2,5,7,1,3,4,6]=>[3,4]=>1001000=>3 [6,3,2,1,4,5,7]=>[2,5,6,7,4,3,1]=>[4,1,1,1]=>1000111=>2 [6,3,2,1,4,7,5]=>[2,5,6,7,4,1,3]=>[4,1,2]=>1000110=>3 [6,3,2,1,5,4,7]=>[2,5,6,7,3,4,1]=>[4,2,1]=>1000101=>4 [6,3,2,1,5,7,4]=>[2,5,6,7,3,1,4]=>[4,1,2]=>1000110=>3 [6,3,2,1,7,4,5]=>[2,5,6,7,1,4,3]=>[4,2,1]=>1000101=>4 [6,3,2,1,7,5,4]=>[2,5,6,7,1,3,4]=>[4,3]=>1000100=>3 [6,3,2,4,1,5,7]=>[2,5,6,4,7,3,1]=>[3,2,1,1]=>1001011=>4 [6,3,2,4,1,7,5]=>[2,5,6,4,7,1,3]=>[3,2,2]=>1001010=>5 [6,3,2,4,5,1,7]=>[2,5,6,4,3,7,1]=>[3,1,2,1]=>1001101=>4 [6,3,2,4,5,7,1]=>[2,5,6,4,3,1,7]=>[3,1,1,2]=>1001110=>3 [6,3,2,4,7,1,5]=>[2,5,6,4,1,7,3]=>[3,1,2,1]=>1001101=>4 [6,3,2,4,7,5,1]=>[2,5,6,4,1,3,7]=>[3,1,3]=>1001100=>3 [6,3,2,5,1,4,7]=>[2,5,6,3,7,4,1]=>[3,2,1,1]=>1001011=>4 [6,3,2,5,1,7,4]=>[2,5,6,3,7,1,4]=>[3,2,2]=>1001010=>5 [6,3,2,5,4,1,7]=>[2,5,6,3,4,7,1]=>[3,3,1]=>1001001=>4 [6,3,2,5,4,7,1]=>[2,5,6,3,4,1,7]=>[3,2,2]=>1001010=>5 [6,3,2,5,7,1,4]=>[2,5,6,3,1,7,4]=>[3,1,2,1]=>1001101=>4 [6,3,2,5,7,4,1]=>[2,5,6,3,1,4,7]=>[3,1,3]=>1001100=>3 [6,3,2,7,1,4,5]=>[2,5,6,1,7,4,3]=>[3,2,1,1]=>1001011=>4 [6,3,2,7,1,5,4]=>[2,5,6,1,7,3,4]=>[3,2,2]=>1001010=>5 [6,3,2,7,4,1,5]=>[2,5,6,1,4,7,3]=>[3,3,1]=>1001001=>4 [6,3,2,7,4,5,1]=>[2,5,6,1,4,3,7]=>[3,2,2]=>1001010=>5 [6,3,2,7,5,1,4]=>[2,5,6,1,3,7,4]=>[3,3,1]=>1001001=>4 [6,3,2,7,5,4,1]=>[2,5,6,1,3,4,7]=>[3,4]=>1001000=>3 [6,3,4,1,2,5,7]=>[2,5,4,7,6,3,1]=>[2,2,1,1,1]=>1010111=>4 [6,3,4,1,2,7,5]=>[2,5,4,7,6,1,3]=>[2,2,1,2]=>1010110=>5 [6,3,4,1,5,2,7]=>[2,5,4,7,3,6,1]=>[2,2,2,1]=>1010101=>6 [6,3,4,1,5,7,2]=>[2,5,4,7,3,1,6]=>[2,2,1,2]=>1010110=>5 [6,3,4,1,7,2,5]=>[2,5,4,7,1,6,3]=>[2,2,2,1]=>1010101=>6 [6,3,4,1,7,5,2]=>[2,5,4,7,1,3,6]=>[2,2,3]=>1010100=>5 [6,3,4,2,1,5,7]=>[2,5,4,6,7,3,1]=>[2,3,1,1]=>1010011=>4 [6,3,4,2,1,7,5]=>[2,5,4,6,7,1,3]=>[2,3,2]=>1010010=>5 [6,3,4,2,5,1,7]=>[2,5,4,6,3,7,1]=>[2,2,2,1]=>1010101=>6 [6,3,4,2,5,7,1]=>[2,5,4,6,3,1,7]=>[2,2,1,2]=>1010110=>5 [6,3,4,2,7,1,5]=>[2,5,4,6,1,7,3]=>[2,2,2,1]=>1010101=>6 [6,3,4,2,7,5,1]=>[2,5,4,6,1,3,7]=>[2,2,3]=>1010100=>5 [6,3,4,5,1,2,7]=>[2,5,4,3,7,6,1]=>[2,1,2,1,1]=>1011011=>4 [6,3,4,5,1,7,2]=>[2,5,4,3,7,1,6]=>[2,1,2,2]=>1011010=>5 [6,3,4,5,2,1,7]=>[2,5,4,3,6,7,1]=>[2,1,3,1]=>1011001=>4 [6,3,4,5,2,7,1]=>[2,5,4,3,6,1,7]=>[2,1,2,2]=>1011010=>5 [6,3,4,5,7,1,2]=>[2,5,4,3,1,7,6]=>[2,1,1,2,1]=>1011101=>4 [6,3,4,5,7,2,1]=>[2,5,4,3,1,6,7]=>[2,1,1,3]=>1011100=>3 [6,3,4,7,1,2,5]=>[2,5,4,1,7,6,3]=>[2,1,2,1,1]=>1011011=>4 [6,3,4,7,1,5,2]=>[2,5,4,1,7,3,6]=>[2,1,2,2]=>1011010=>5 [6,3,4,7,2,1,5]=>[2,5,4,1,6,7,3]=>[2,1,3,1]=>1011001=>4 [6,3,4,7,2,5,1]=>[2,5,4,1,6,3,7]=>[2,1,2,2]=>1011010=>5 [6,3,4,7,5,1,2]=>[2,5,4,1,3,7,6]=>[2,1,3,1]=>1011001=>4 [6,3,4,7,5,2,1]=>[2,5,4,1,3,6,7]=>[2,1,4]=>1011000=>3 [6,3,5,1,2,4,7]=>[2,5,3,7,6,4,1]=>[2,2,1,1,1]=>1010111=>4 [6,3,5,1,2,7,4]=>[2,5,3,7,6,1,4]=>[2,2,1,2]=>1010110=>5 [6,3,5,1,4,2,7]=>[2,5,3,7,4,6,1]=>[2,2,2,1]=>1010101=>6 [6,3,5,1,4,7,2]=>[2,5,3,7,4,1,6]=>[2,2,1,2]=>1010110=>5 [6,3,5,1,7,2,4]=>[2,5,3,7,1,6,4]=>[2,2,2,1]=>1010101=>6 [6,3,5,1,7,4,2]=>[2,5,3,7,1,4,6]=>[2,2,3]=>1010100=>5 [6,3,5,2,1,4,7]=>[2,5,3,6,7,4,1]=>[2,3,1,1]=>1010011=>4 [6,3,5,2,1,7,4]=>[2,5,3,6,7,1,4]=>[2,3,2]=>1010010=>5 [6,3,5,2,4,1,7]=>[2,5,3,6,4,7,1]=>[2,2,2,1]=>1010101=>6 [6,3,5,2,4,7,1]=>[2,5,3,6,4,1,7]=>[2,2,1,2]=>1010110=>5 [6,3,5,2,7,1,4]=>[2,5,3,6,1,7,4]=>[2,2,2,1]=>1010101=>6 [6,3,5,2,7,4,1]=>[2,5,3,6,1,4,7]=>[2,2,3]=>1010100=>5 [6,3,5,4,1,2,7]=>[2,5,3,4,7,6,1]=>[2,3,1,1]=>1010011=>4 [6,3,5,4,1,7,2]=>[2,5,3,4,7,1,6]=>[2,3,2]=>1010010=>5 [6,3,5,4,2,1,7]=>[2,5,3,4,6,7,1]=>[2,4,1]=>1010001=>4 [6,3,5,4,2,7,1]=>[2,5,3,4,6,1,7]=>[2,3,2]=>1010010=>5 [6,3,5,4,7,1,2]=>[2,5,3,4,1,7,6]=>[2,2,2,1]=>1010101=>6 [6,3,5,4,7,2,1]=>[2,5,3,4,1,6,7]=>[2,2,3]=>1010100=>5 [6,3,5,7,1,2,4]=>[2,5,3,1,7,6,4]=>[2,1,2,1,1]=>1011011=>4 [6,3,5,7,1,4,2]=>[2,5,3,1,7,4,6]=>[2,1,2,2]=>1011010=>5 [6,3,5,7,2,1,4]=>[2,5,3,1,6,7,4]=>[2,1,3,1]=>1011001=>4 [6,3,5,7,2,4,1]=>[2,5,3,1,6,4,7]=>[2,1,2,2]=>1011010=>5 [6,3,5,7,4,1,2]=>[2,5,3,1,4,7,6]=>[2,1,3,1]=>1011001=>4 [6,3,5,7,4,2,1]=>[2,5,3,1,4,6,7]=>[2,1,4]=>1011000=>3 [6,3,7,1,2,4,5]=>[2,5,1,7,6,4,3]=>[2,2,1,1,1]=>1010111=>4 [6,3,7,1,2,5,4]=>[2,5,1,7,6,3,4]=>[2,2,1,2]=>1010110=>5 [6,3,7,1,4,2,5]=>[2,5,1,7,4,6,3]=>[2,2,2,1]=>1010101=>6 [6,3,7,1,4,5,2]=>[2,5,1,7,4,3,6]=>[2,2,1,2]=>1010110=>5 [6,3,7,1,5,2,4]=>[2,5,1,7,3,6,4]=>[2,2,2,1]=>1010101=>6 [6,3,7,1,5,4,2]=>[2,5,1,7,3,4,6]=>[2,2,3]=>1010100=>5 [6,3,7,2,1,4,5]=>[2,5,1,6,7,4,3]=>[2,3,1,1]=>1010011=>4 [6,3,7,2,1,5,4]=>[2,5,1,6,7,3,4]=>[2,3,2]=>1010010=>5 [6,3,7,2,4,1,5]=>[2,5,1,6,4,7,3]=>[2,2,2,1]=>1010101=>6 [6,3,7,2,4,5,1]=>[2,5,1,6,4,3,7]=>[2,2,1,2]=>1010110=>5 [6,3,7,2,5,1,4]=>[2,5,1,6,3,7,4]=>[2,2,2,1]=>1010101=>6 [6,3,7,2,5,4,1]=>[2,5,1,6,3,4,7]=>[2,2,3]=>1010100=>5 [6,3,7,4,1,2,5]=>[2,5,1,4,7,6,3]=>[2,3,1,1]=>1010011=>4 [6,3,7,4,1,5,2]=>[2,5,1,4,7,3,6]=>[2,3,2]=>1010010=>5 [6,3,7,4,2,1,5]=>[2,5,1,4,6,7,3]=>[2,4,1]=>1010001=>4 [6,3,7,4,2,5,1]=>[2,5,1,4,6,3,7]=>[2,3,2]=>1010010=>5 [6,3,7,4,5,1,2]=>[2,5,1,4,3,7,6]=>[2,2,2,1]=>1010101=>6 [6,3,7,4,5,2,1]=>[2,5,1,4,3,6,7]=>[2,2,3]=>1010100=>5 [6,3,7,5,1,2,4]=>[2,5,1,3,7,6,4]=>[2,3,1,1]=>1010011=>4 [6,3,7,5,1,4,2]=>[2,5,1,3,7,4,6]=>[2,3,2]=>1010010=>5 [6,3,7,5,2,1,4]=>[2,5,1,3,6,7,4]=>[2,4,1]=>1010001=>4 [6,3,7,5,2,4,1]=>[2,5,1,3,6,4,7]=>[2,3,2]=>1010010=>5 [6,3,7,5,4,1,2]=>[2,5,1,3,4,7,6]=>[2,4,1]=>1010001=>4 [6,3,7,5,4,2,1]=>[2,5,1,3,4,6,7]=>[2,5]=>1010000=>3 [6,4,1,2,3,5,7]=>[2,4,7,6,5,3,1]=>[3,1,1,1,1]=>1001111=>2 [6,4,1,2,3,7,5]=>[2,4,7,6,5,1,3]=>[3,1,1,2]=>1001110=>3 [6,4,1,2,5,3,7]=>[2,4,7,6,3,5,1]=>[3,1,2,1]=>1001101=>4 [6,4,1,2,5,7,3]=>[2,4,7,6,3,1,5]=>[3,1,1,2]=>1001110=>3 [6,4,1,2,7,3,5]=>[2,4,7,6,1,5,3]=>[3,1,2,1]=>1001101=>4 [6,4,1,2,7,5,3]=>[2,4,7,6,1,3,5]=>[3,1,3]=>1001100=>3 [6,4,1,3,2,5,7]=>[2,4,7,5,6,3,1]=>[3,2,1,1]=>1001011=>4 [6,4,1,3,2,7,5]=>[2,4,7,5,6,1,3]=>[3,2,2]=>1001010=>5 [6,4,1,3,5,2,7]=>[2,4,7,5,3,6,1]=>[3,1,2,1]=>1001101=>4 [6,4,1,3,5,7,2]=>[2,4,7,5,3,1,6]=>[3,1,1,2]=>1001110=>3 [6,4,1,3,7,2,5]=>[2,4,7,5,1,6,3]=>[3,1,2,1]=>1001101=>4 [6,4,1,3,7,5,2]=>[2,4,7,5,1,3,6]=>[3,1,3]=>1001100=>3 [6,4,1,5,2,3,7]=>[2,4,7,3,6,5,1]=>[3,2,1,1]=>1001011=>4 [6,4,1,5,2,7,3]=>[2,4,7,3,6,1,5]=>[3,2,2]=>1001010=>5 [6,4,1,5,3,2,7]=>[2,4,7,3,5,6,1]=>[3,3,1]=>1001001=>4 [6,4,1,5,3,7,2]=>[2,4,7,3,5,1,6]=>[3,2,2]=>1001010=>5 [6,4,1,5,7,2,3]=>[2,4,7,3,1,6,5]=>[3,1,2,1]=>1001101=>4 [6,4,1,5,7,3,2]=>[2,4,7,3,1,5,6]=>[3,1,3]=>1001100=>3 [6,4,1,7,2,3,5]=>[2,4,7,1,6,5,3]=>[3,2,1,1]=>1001011=>4 [6,4,1,7,2,5,3]=>[2,4,7,1,6,3,5]=>[3,2,2]=>1001010=>5 [6,4,1,7,3,2,5]=>[2,4,7,1,5,6,3]=>[3,3,1]=>1001001=>4 [6,4,1,7,3,5,2]=>[2,4,7,1,5,3,6]=>[3,2,2]=>1001010=>5 [6,4,1,7,5,2,3]=>[2,4,7,1,3,6,5]=>[3,3,1]=>1001001=>4 [6,4,1,7,5,3,2]=>[2,4,7,1,3,5,6]=>[3,4]=>1001000=>3 [6,4,2,1,3,5,7]=>[2,4,6,7,5,3,1]=>[4,1,1,1]=>1000111=>2 [6,4,2,1,3,7,5]=>[2,4,6,7,5,1,3]=>[4,1,2]=>1000110=>3 [6,4,2,1,5,3,7]=>[2,4,6,7,3,5,1]=>[4,2,1]=>1000101=>4 [6,4,2,1,5,7,3]=>[2,4,6,7,3,1,5]=>[4,1,2]=>1000110=>3 [6,4,2,1,7,3,5]=>[2,4,6,7,1,5,3]=>[4,2,1]=>1000101=>4 [6,4,2,1,7,5,3]=>[2,4,6,7,1,3,5]=>[4,3]=>1000100=>3 [6,4,2,3,1,5,7]=>[2,4,6,5,7,3,1]=>[3,2,1,1]=>1001011=>4 [6,4,2,3,1,7,5]=>[2,4,6,5,7,1,3]=>[3,2,2]=>1001010=>5 [6,4,2,3,5,1,7]=>[2,4,6,5,3,7,1]=>[3,1,2,1]=>1001101=>4 [6,4,2,3,5,7,1]=>[2,4,6,5,3,1,7]=>[3,1,1,2]=>1001110=>3 [6,4,2,3,7,1,5]=>[2,4,6,5,1,7,3]=>[3,1,2,1]=>1001101=>4 [6,4,2,3,7,5,1]=>[2,4,6,5,1,3,7]=>[3,1,3]=>1001100=>3 [6,4,2,5,1,3,7]=>[2,4,6,3,7,5,1]=>[3,2,1,1]=>1001011=>4 [6,4,2,5,1,7,3]=>[2,4,6,3,7,1,5]=>[3,2,2]=>1001010=>5 [6,4,2,5,3,1,7]=>[2,4,6,3,5,7,1]=>[3,3,1]=>1001001=>4 [6,4,2,5,3,7,1]=>[2,4,6,3,5,1,7]=>[3,2,2]=>1001010=>5 [6,4,2,5,7,1,3]=>[2,4,6,3,1,7,5]=>[3,1,2,1]=>1001101=>4 [6,4,2,5,7,3,1]=>[2,4,6,3,1,5,7]=>[3,1,3]=>1001100=>3 [6,4,2,7,1,3,5]=>[2,4,6,1,7,5,3]=>[3,2,1,1]=>1001011=>4 [6,4,2,7,1,5,3]=>[2,4,6,1,7,3,5]=>[3,2,2]=>1001010=>5 [6,4,2,7,3,1,5]=>[2,4,6,1,5,7,3]=>[3,3,1]=>1001001=>4 [6,4,2,7,3,5,1]=>[2,4,6,1,5,3,7]=>[3,2,2]=>1001010=>5 [6,4,2,7,5,1,3]=>[2,4,6,1,3,7,5]=>[3,3,1]=>1001001=>4 [6,4,2,7,5,3,1]=>[2,4,6,1,3,5,7]=>[3,4]=>1001000=>3 [6,4,3,1,2,5,7]=>[2,4,5,7,6,3,1]=>[4,1,1,1]=>1000111=>2 [6,4,3,1,2,7,5]=>[2,4,5,7,6,1,3]=>[4,1,2]=>1000110=>3 [6,4,3,1,5,2,7]=>[2,4,5,7,3,6,1]=>[4,2,1]=>1000101=>4 [6,4,3,1,5,7,2]=>[2,4,5,7,3,1,6]=>[4,1,2]=>1000110=>3 [6,4,3,1,7,2,5]=>[2,4,5,7,1,6,3]=>[4,2,1]=>1000101=>4 [6,4,3,1,7,5,2]=>[2,4,5,7,1,3,6]=>[4,3]=>1000100=>3 [6,4,3,2,1,5,7]=>[2,4,5,6,7,3,1]=>[5,1,1]=>1000011=>2 [6,4,3,2,1,7,5]=>[2,4,5,6,7,1,3]=>[5,2]=>1000010=>3 [6,4,3,2,5,1,7]=>[2,4,5,6,3,7,1]=>[4,2,1]=>1000101=>4 [6,4,3,2,5,7,1]=>[2,4,5,6,3,1,7]=>[4,1,2]=>1000110=>3 [6,4,3,2,7,1,5]=>[2,4,5,6,1,7,3]=>[4,2,1]=>1000101=>4 [6,4,3,2,7,5,1]=>[2,4,5,6,1,3,7]=>[4,3]=>1000100=>3 [6,4,3,5,1,2,7]=>[2,4,5,3,7,6,1]=>[3,2,1,1]=>1001011=>4 [6,4,3,5,1,7,2]=>[2,4,5,3,7,1,6]=>[3,2,2]=>1001010=>5 [6,4,3,5,2,1,7]=>[2,4,5,3,6,7,1]=>[3,3,1]=>1001001=>4 [6,4,3,5,2,7,1]=>[2,4,5,3,6,1,7]=>[3,2,2]=>1001010=>5 [6,4,3,5,7,1,2]=>[2,4,5,3,1,7,6]=>[3,1,2,1]=>1001101=>4 [6,4,3,5,7,2,1]=>[2,4,5,3,1,6,7]=>[3,1,3]=>1001100=>3 [6,4,3,7,1,2,5]=>[2,4,5,1,7,6,3]=>[3,2,1,1]=>1001011=>4 [6,4,3,7,1,5,2]=>[2,4,5,1,7,3,6]=>[3,2,2]=>1001010=>5 [6,4,3,7,2,1,5]=>[2,4,5,1,6,7,3]=>[3,3,1]=>1001001=>4 [6,4,3,7,2,5,1]=>[2,4,5,1,6,3,7]=>[3,2,2]=>1001010=>5 [6,4,3,7,5,1,2]=>[2,4,5,1,3,7,6]=>[3,3,1]=>1001001=>4 [6,4,3,7,5,2,1]=>[2,4,5,1,3,6,7]=>[3,4]=>1001000=>3 [6,4,5,1,2,3,7]=>[2,4,3,7,6,5,1]=>[2,2,1,1,1]=>1010111=>4 [6,4,5,1,2,7,3]=>[2,4,3,7,6,1,5]=>[2,2,1,2]=>1010110=>5 [6,4,5,1,3,2,7]=>[2,4,3,7,5,6,1]=>[2,2,2,1]=>1010101=>6 [6,4,5,1,3,7,2]=>[2,4,3,7,5,1,6]=>[2,2,1,2]=>1010110=>5 [6,4,5,1,7,2,3]=>[2,4,3,7,1,6,5]=>[2,2,2,1]=>1010101=>6 [6,4,5,1,7,3,2]=>[2,4,3,7,1,5,6]=>[2,2,3]=>1010100=>5 [6,4,5,2,1,3,7]=>[2,4,3,6,7,5,1]=>[2,3,1,1]=>1010011=>4 [6,4,5,2,1,7,3]=>[2,4,3,6,7,1,5]=>[2,3,2]=>1010010=>5 [6,4,5,2,3,1,7]=>[2,4,3,6,5,7,1]=>[2,2,2,1]=>1010101=>6 [6,4,5,2,3,7,1]=>[2,4,3,6,5,1,7]=>[2,2,1,2]=>1010110=>5 [6,4,5,2,7,1,3]=>[2,4,3,6,1,7,5]=>[2,2,2,1]=>1010101=>6 [6,4,5,2,7,3,1]=>[2,4,3,6,1,5,7]=>[2,2,3]=>1010100=>5 [6,4,5,3,1,2,7]=>[2,4,3,5,7,6,1]=>[2,3,1,1]=>1010011=>4 [6,4,5,3,1,7,2]=>[2,4,3,5,7,1,6]=>[2,3,2]=>1010010=>5 [6,4,5,3,2,1,7]=>[2,4,3,5,6,7,1]=>[2,4,1]=>1010001=>4 [6,4,5,3,2,7,1]=>[2,4,3,5,6,1,7]=>[2,3,2]=>1010010=>5 [6,4,5,3,7,1,2]=>[2,4,3,5,1,7,6]=>[2,2,2,1]=>1010101=>6 [6,4,5,3,7,2,1]=>[2,4,3,5,1,6,7]=>[2,2,3]=>1010100=>5 [6,4,5,7,1,2,3]=>[2,4,3,1,7,6,5]=>[2,1,2,1,1]=>1011011=>4 [6,4,5,7,1,3,2]=>[2,4,3,1,7,5,6]=>[2,1,2,2]=>1011010=>5 [6,4,5,7,2,1,3]=>[2,4,3,1,6,7,5]=>[2,1,3,1]=>1011001=>4 [6,4,5,7,2,3,1]=>[2,4,3,1,6,5,7]=>[2,1,2,2]=>1011010=>5 [6,4,5,7,3,1,2]=>[2,4,3,1,5,7,6]=>[2,1,3,1]=>1011001=>4 [6,4,5,7,3,2,1]=>[2,4,3,1,5,6,7]=>[2,1,4]=>1011000=>3 [6,4,7,1,2,3,5]=>[2,4,1,7,6,5,3]=>[2,2,1,1,1]=>1010111=>4 [6,4,7,1,2,5,3]=>[2,4,1,7,6,3,5]=>[2,2,1,2]=>1010110=>5 [6,4,7,1,3,2,5]=>[2,4,1,7,5,6,3]=>[2,2,2,1]=>1010101=>6 [6,4,7,1,3,5,2]=>[2,4,1,7,5,3,6]=>[2,2,1,2]=>1010110=>5 [6,4,7,1,5,2,3]=>[2,4,1,7,3,6,5]=>[2,2,2,1]=>1010101=>6 [6,4,7,1,5,3,2]=>[2,4,1,7,3,5,6]=>[2,2,3]=>1010100=>5 [6,4,7,2,1,3,5]=>[2,4,1,6,7,5,3]=>[2,3,1,1]=>1010011=>4 [6,4,7,2,1,5,3]=>[2,4,1,6,7,3,5]=>[2,3,2]=>1010010=>5 [6,4,7,2,3,1,5]=>[2,4,1,6,5,7,3]=>[2,2,2,1]=>1010101=>6 [6,4,7,2,3,5,1]=>[2,4,1,6,5,3,7]=>[2,2,1,2]=>1010110=>5 [6,4,7,2,5,1,3]=>[2,4,1,6,3,7,5]=>[2,2,2,1]=>1010101=>6 [6,4,7,2,5,3,1]=>[2,4,1,6,3,5,7]=>[2,2,3]=>1010100=>5 [6,4,7,3,1,2,5]=>[2,4,1,5,7,6,3]=>[2,3,1,1]=>1010011=>4 [6,4,7,3,1,5,2]=>[2,4,1,5,7,3,6]=>[2,3,2]=>1010010=>5 [6,4,7,3,2,1,5]=>[2,4,1,5,6,7,3]=>[2,4,1]=>1010001=>4 [6,4,7,3,2,5,1]=>[2,4,1,5,6,3,7]=>[2,3,2]=>1010010=>5 [6,4,7,3,5,1,2]=>[2,4,1,5,3,7,6]=>[2,2,2,1]=>1010101=>6 [6,4,7,3,5,2,1]=>[2,4,1,5,3,6,7]=>[2,2,3]=>1010100=>5 [6,4,7,5,1,2,3]=>[2,4,1,3,7,6,5]=>[2,3,1,1]=>1010011=>4 [6,4,7,5,1,3,2]=>[2,4,1,3,7,5,6]=>[2,3,2]=>1010010=>5 [6,4,7,5,2,1,3]=>[2,4,1,3,6,7,5]=>[2,4,1]=>1010001=>4 [6,4,7,5,2,3,1]=>[2,4,1,3,6,5,7]=>[2,3,2]=>1010010=>5 [6,4,7,5,3,1,2]=>[2,4,1,3,5,7,6]=>[2,4,1]=>1010001=>4 [6,4,7,5,3,2,1]=>[2,4,1,3,5,6,7]=>[2,5]=>1010000=>3 [6,5,1,2,3,4,7]=>[2,3,7,6,5,4,1]=>[3,1,1,1,1]=>1001111=>2 [6,5,1,2,3,7,4]=>[2,3,7,6,5,1,4]=>[3,1,1,2]=>1001110=>3 [6,5,1,2,4,3,7]=>[2,3,7,6,4,5,1]=>[3,1,2,1]=>1001101=>4 [6,5,1,2,4,7,3]=>[2,3,7,6,4,1,5]=>[3,1,1,2]=>1001110=>3 [6,5,1,2,7,3,4]=>[2,3,7,6,1,5,4]=>[3,1,2,1]=>1001101=>4 [6,5,1,2,7,4,3]=>[2,3,7,6,1,4,5]=>[3,1,3]=>1001100=>3 [6,5,1,3,2,4,7]=>[2,3,7,5,6,4,1]=>[3,2,1,1]=>1001011=>4 [6,5,1,3,2,7,4]=>[2,3,7,5,6,1,4]=>[3,2,2]=>1001010=>5 [6,5,1,3,4,2,7]=>[2,3,7,5,4,6,1]=>[3,1,2,1]=>1001101=>4 [6,5,1,3,4,7,2]=>[2,3,7,5,4,1,6]=>[3,1,1,2]=>1001110=>3 [6,5,1,3,7,2,4]=>[2,3,7,5,1,6,4]=>[3,1,2,1]=>1001101=>4 [6,5,1,3,7,4,2]=>[2,3,7,5,1,4,6]=>[3,1,3]=>1001100=>3 [6,5,1,4,2,3,7]=>[2,3,7,4,6,5,1]=>[3,2,1,1]=>1001011=>4 [6,5,1,4,2,7,3]=>[2,3,7,4,6,1,5]=>[3,2,2]=>1001010=>5 [6,5,1,4,3,2,7]=>[2,3,7,4,5,6,1]=>[3,3,1]=>1001001=>4 [6,5,1,4,3,7,2]=>[2,3,7,4,5,1,6]=>[3,2,2]=>1001010=>5 [6,5,1,4,7,2,3]=>[2,3,7,4,1,6,5]=>[3,1,2,1]=>1001101=>4 [6,5,1,4,7,3,2]=>[2,3,7,4,1,5,6]=>[3,1,3]=>1001100=>3 [6,5,1,7,2,3,4]=>[2,3,7,1,6,5,4]=>[3,2,1,1]=>1001011=>4 [6,5,1,7,2,4,3]=>[2,3,7,1,6,4,5]=>[3,2,2]=>1001010=>5 [6,5,1,7,3,2,4]=>[2,3,7,1,5,6,4]=>[3,3,1]=>1001001=>4 [6,5,1,7,3,4,2]=>[2,3,7,1,5,4,6]=>[3,2,2]=>1001010=>5 [6,5,1,7,4,2,3]=>[2,3,7,1,4,6,5]=>[3,3,1]=>1001001=>4 [6,5,1,7,4,3,2]=>[2,3,7,1,4,5,6]=>[3,4]=>1001000=>3 [6,5,2,1,3,4,7]=>[2,3,6,7,5,4,1]=>[4,1,1,1]=>1000111=>2 [6,5,2,1,3,7,4]=>[2,3,6,7,5,1,4]=>[4,1,2]=>1000110=>3 [6,5,2,1,4,3,7]=>[2,3,6,7,4,5,1]=>[4,2,1]=>1000101=>4 [6,5,2,1,4,7,3]=>[2,3,6,7,4,1,5]=>[4,1,2]=>1000110=>3 [6,5,2,1,7,3,4]=>[2,3,6,7,1,5,4]=>[4,2,1]=>1000101=>4 [6,5,2,1,7,4,3]=>[2,3,6,7,1,4,5]=>[4,3]=>1000100=>3 [6,5,2,3,1,4,7]=>[2,3,6,5,7,4,1]=>[3,2,1,1]=>1001011=>4 [6,5,2,3,1,7,4]=>[2,3,6,5,7,1,4]=>[3,2,2]=>1001010=>5 [6,5,2,3,4,1,7]=>[2,3,6,5,4,7,1]=>[3,1,2,1]=>1001101=>4 [6,5,2,3,4,7,1]=>[2,3,6,5,4,1,7]=>[3,1,1,2]=>1001110=>3 [6,5,2,3,7,1,4]=>[2,3,6,5,1,7,4]=>[3,1,2,1]=>1001101=>4 [6,5,2,3,7,4,1]=>[2,3,6,5,1,4,7]=>[3,1,3]=>1001100=>3 [6,5,2,4,1,3,7]=>[2,3,6,4,7,5,1]=>[3,2,1,1]=>1001011=>4 [6,5,2,4,1,7,3]=>[2,3,6,4,7,1,5]=>[3,2,2]=>1001010=>5 [6,5,2,4,3,1,7]=>[2,3,6,4,5,7,1]=>[3,3,1]=>1001001=>4 [6,5,2,4,3,7,1]=>[2,3,6,4,5,1,7]=>[3,2,2]=>1001010=>5 [6,5,2,4,7,1,3]=>[2,3,6,4,1,7,5]=>[3,1,2,1]=>1001101=>4 [6,5,2,4,7,3,1]=>[2,3,6,4,1,5,7]=>[3,1,3]=>1001100=>3 [6,5,2,7,1,3,4]=>[2,3,6,1,7,5,4]=>[3,2,1,1]=>1001011=>4 [6,5,2,7,1,4,3]=>[2,3,6,1,7,4,5]=>[3,2,2]=>1001010=>5 [6,5,2,7,3,1,4]=>[2,3,6,1,5,7,4]=>[3,3,1]=>1001001=>4 [6,5,2,7,3,4,1]=>[2,3,6,1,5,4,7]=>[3,2,2]=>1001010=>5 [6,5,2,7,4,1,3]=>[2,3,6,1,4,7,5]=>[3,3,1]=>1001001=>4 [6,5,2,7,4,3,1]=>[2,3,6,1,4,5,7]=>[3,4]=>1001000=>3 [6,5,3,1,2,4,7]=>[2,3,5,7,6,4,1]=>[4,1,1,1]=>1000111=>2 [6,5,3,1,2,7,4]=>[2,3,5,7,6,1,4]=>[4,1,2]=>1000110=>3 [6,5,3,1,4,2,7]=>[2,3,5,7,4,6,1]=>[4,2,1]=>1000101=>4 [6,5,3,1,4,7,2]=>[2,3,5,7,4,1,6]=>[4,1,2]=>1000110=>3 [6,5,3,1,7,2,4]=>[2,3,5,7,1,6,4]=>[4,2,1]=>1000101=>4 [6,5,3,1,7,4,2]=>[2,3,5,7,1,4,6]=>[4,3]=>1000100=>3 [6,5,3,2,1,4,7]=>[2,3,5,6,7,4,1]=>[5,1,1]=>1000011=>2 [6,5,3,2,1,7,4]=>[2,3,5,6,7,1,4]=>[5,2]=>1000010=>3 [6,5,3,2,4,1,7]=>[2,3,5,6,4,7,1]=>[4,2,1]=>1000101=>4 [6,5,3,2,4,7,1]=>[2,3,5,6,4,1,7]=>[4,1,2]=>1000110=>3 [6,5,3,2,7,1,4]=>[2,3,5,6,1,7,4]=>[4,2,1]=>1000101=>4 [6,5,3,2,7,4,1]=>[2,3,5,6,1,4,7]=>[4,3]=>1000100=>3 [6,5,3,4,1,2,7]=>[2,3,5,4,7,6,1]=>[3,2,1,1]=>1001011=>4 [6,5,3,4,1,7,2]=>[2,3,5,4,7,1,6]=>[3,2,2]=>1001010=>5 [6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[3,3,1]=>1001001=>4 [6,5,3,4,2,7,1]=>[2,3,5,4,6,1,7]=>[3,2,2]=>1001010=>5 [6,5,3,4,7,1,2]=>[2,3,5,4,1,7,6]=>[3,1,2,1]=>1001101=>4 [6,5,3,4,7,2,1]=>[2,3,5,4,1,6,7]=>[3,1,3]=>1001100=>3 [6,5,3,7,1,2,4]=>[2,3,5,1,7,6,4]=>[3,2,1,1]=>1001011=>4 [6,5,3,7,1,4,2]=>[2,3,5,1,7,4,6]=>[3,2,2]=>1001010=>5 [6,5,3,7,2,1,4]=>[2,3,5,1,6,7,4]=>[3,3,1]=>1001001=>4 [6,5,3,7,2,4,1]=>[2,3,5,1,6,4,7]=>[3,2,2]=>1001010=>5 [6,5,3,7,4,1,2]=>[2,3,5,1,4,7,6]=>[3,3,1]=>1001001=>4 [6,5,3,7,4,2,1]=>[2,3,5,1,4,6,7]=>[3,4]=>1001000=>3 [6,5,4,1,2,3,7]=>[2,3,4,7,6,5,1]=>[4,1,1,1]=>1000111=>2 [6,5,4,1,2,7,3]=>[2,3,4,7,6,1,5]=>[4,1,2]=>1000110=>3 [6,5,4,1,3,2,7]=>[2,3,4,7,5,6,1]=>[4,2,1]=>1000101=>4 [6,5,4,1,3,7,2]=>[2,3,4,7,5,1,6]=>[4,1,2]=>1000110=>3 [6,5,4,1,7,2,3]=>[2,3,4,7,1,6,5]=>[4,2,1]=>1000101=>4 [6,5,4,1,7,3,2]=>[2,3,4,7,1,5,6]=>[4,3]=>1000100=>3 [6,5,4,2,1,3,7]=>[2,3,4,6,7,5,1]=>[5,1,1]=>1000011=>2 [6,5,4,2,1,7,3]=>[2,3,4,6,7,1,5]=>[5,2]=>1000010=>3 [6,5,4,2,3,1,7]=>[2,3,4,6,5,7,1]=>[4,2,1]=>1000101=>4 [6,5,4,2,3,7,1]=>[2,3,4,6,5,1,7]=>[4,1,2]=>1000110=>3 [6,5,4,2,7,1,3]=>[2,3,4,6,1,7,5]=>[4,2,1]=>1000101=>4 [6,5,4,2,7,3,1]=>[2,3,4,6,1,5,7]=>[4,3]=>1000100=>3 [6,5,4,3,1,2,7]=>[2,3,4,5,7,6,1]=>[5,1,1]=>1000011=>2 [6,5,4,3,1,7,2]=>[2,3,4,5,7,1,6]=>[5,2]=>1000010=>3 [6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[6,1]=>1000001=>2 [6,5,4,3,2,7,1]=>[2,3,4,5,6,1,7]=>[5,2]=>1000010=>3 [6,5,4,3,7,1,2]=>[2,3,4,5,1,7,6]=>[4,2,1]=>1000101=>4 [6,5,4,3,7,2,1]=>[2,3,4,5,1,6,7]=>[4,3]=>1000100=>3 [6,5,4,7,1,2,3]=>[2,3,4,1,7,6,5]=>[3,2,1,1]=>1001011=>4 [6,5,4,7,1,3,2]=>[2,3,4,1,7,5,6]=>[3,2,2]=>1001010=>5 [6,5,4,7,2,1,3]=>[2,3,4,1,6,7,5]=>[3,3,1]=>1001001=>4 [6,5,4,7,2,3,1]=>[2,3,4,1,6,5,7]=>[3,2,2]=>1001010=>5 [6,5,4,7,3,1,2]=>[2,3,4,1,5,7,6]=>[3,3,1]=>1001001=>4 [6,5,4,7,3,2,1]=>[2,3,4,1,5,6,7]=>[3,4]=>1001000=>3 [6,5,7,1,2,3,4]=>[2,3,1,7,6,5,4]=>[2,2,1,1,1]=>1010111=>4 [6,5,7,1,2,4,3]=>[2,3,1,7,6,4,5]=>[2,2,1,2]=>1010110=>5 [6,5,7,1,3,2,4]=>[2,3,1,7,5,6,4]=>[2,2,2,1]=>1010101=>6 [6,5,7,1,3,4,2]=>[2,3,1,7,5,4,6]=>[2,2,1,2]=>1010110=>5 [6,5,7,1,4,2,3]=>[2,3,1,7,4,6,5]=>[2,2,2,1]=>1010101=>6 [6,5,7,1,4,3,2]=>[2,3,1,7,4,5,6]=>[2,2,3]=>1010100=>5 [6,5,7,2,1,3,4]=>[2,3,1,6,7,5,4]=>[2,3,1,1]=>1010011=>4 [6,5,7,2,1,4,3]=>[2,3,1,6,7,4,5]=>[2,3,2]=>1010010=>5 [6,5,7,2,3,1,4]=>[2,3,1,6,5,7,4]=>[2,2,2,1]=>1010101=>6 [6,5,7,2,3,4,1]=>[2,3,1,6,5,4,7]=>[2,2,1,2]=>1010110=>5 [6,5,7,2,4,1,3]=>[2,3,1,6,4,7,5]=>[2,2,2,1]=>1010101=>6 [6,5,7,2,4,3,1]=>[2,3,1,6,4,5,7]=>[2,2,3]=>1010100=>5 [6,5,7,3,1,2,4]=>[2,3,1,5,7,6,4]=>[2,3,1,1]=>1010011=>4 [6,5,7,3,1,4,2]=>[2,3,1,5,7,4,6]=>[2,3,2]=>1010010=>5 [6,5,7,3,2,1,4]=>[2,3,1,5,6,7,4]=>[2,4,1]=>1010001=>4 [6,5,7,3,2,4,1]=>[2,3,1,5,6,4,7]=>[2,3,2]=>1010010=>5 [6,5,7,3,4,1,2]=>[2,3,1,5,4,7,6]=>[2,2,2,1]=>1010101=>6 [6,5,7,3,4,2,1]=>[2,3,1,5,4,6,7]=>[2,2,3]=>1010100=>5 [6,5,7,4,1,2,3]=>[2,3,1,4,7,6,5]=>[2,3,1,1]=>1010011=>4 [6,5,7,4,1,3,2]=>[2,3,1,4,7,5,6]=>[2,3,2]=>1010010=>5 [6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[2,4,1]=>1010001=>4 [6,5,7,4,2,3,1]=>[2,3,1,4,6,5,7]=>[2,3,2]=>1010010=>5 [6,5,7,4,3,1,2]=>[2,3,1,4,5,7,6]=>[2,4,1]=>1010001=>4 [6,5,7,4,3,2,1]=>[2,3,1,4,5,6,7]=>[2,5]=>1010000=>3 [6,7,1,2,3,4,5]=>[2,1,7,6,5,4,3]=>[1,2,1,1,1,1]=>1101111=>2 [6,7,1,2,3,5,4]=>[2,1,7,6,5,3,4]=>[1,2,1,1,2]=>1101110=>3 [6,7,1,2,4,3,5]=>[2,1,7,6,4,5,3]=>[1,2,1,2,1]=>1101101=>4 [6,7,1,2,4,5,3]=>[2,1,7,6,4,3,5]=>[1,2,1,1,2]=>1101110=>3 [6,7,1,2,5,3,4]=>[2,1,7,6,3,5,4]=>[1,2,1,2,1]=>1101101=>4 [6,7,1,2,5,4,3]=>[2,1,7,6,3,4,5]=>[1,2,1,3]=>1101100=>3 [6,7,1,3,2,4,5]=>[2,1,7,5,6,4,3]=>[1,2,2,1,1]=>1101011=>4 [6,7,1,3,2,5,4]=>[2,1,7,5,6,3,4]=>[1,2,2,2]=>1101010=>5 [6,7,1,3,4,2,5]=>[2,1,7,5,4,6,3]=>[1,2,1,2,1]=>1101101=>4 [6,7,1,3,4,5,2]=>[2,1,7,5,4,3,6]=>[1,2,1,1,2]=>1101110=>3 [6,7,1,3,5,2,4]=>[2,1,7,5,3,6,4]=>[1,2,1,2,1]=>1101101=>4 [6,7,1,3,5,4,2]=>[2,1,7,5,3,4,6]=>[1,2,1,3]=>1101100=>3 [6,7,1,4,2,3,5]=>[2,1,7,4,6,5,3]=>[1,2,2,1,1]=>1101011=>4 [6,7,1,4,2,5,3]=>[2,1,7,4,6,3,5]=>[1,2,2,2]=>1101010=>5 [6,7,1,4,3,2,5]=>[2,1,7,4,5,6,3]=>[1,2,3,1]=>1101001=>4 [6,7,1,4,3,5,2]=>[2,1,7,4,5,3,6]=>[1,2,2,2]=>1101010=>5 [6,7,1,4,5,2,3]=>[2,1,7,4,3,6,5]=>[1,2,1,2,1]=>1101101=>4 [6,7,1,4,5,3,2]=>[2,1,7,4,3,5,6]=>[1,2,1,3]=>1101100=>3 [6,7,1,5,2,3,4]=>[2,1,7,3,6,5,4]=>[1,2,2,1,1]=>1101011=>4 [6,7,1,5,2,4,3]=>[2,1,7,3,6,4,5]=>[1,2,2,2]=>1101010=>5 [6,7,1,5,3,2,4]=>[2,1,7,3,5,6,4]=>[1,2,3,1]=>1101001=>4 [6,7,1,5,3,4,2]=>[2,1,7,3,5,4,6]=>[1,2,2,2]=>1101010=>5 [6,7,1,5,4,2,3]=>[2,1,7,3,4,6,5]=>[1,2,3,1]=>1101001=>4 [6,7,1,5,4,3,2]=>[2,1,7,3,4,5,6]=>[1,2,4]=>1101000=>3 [6,7,2,1,3,4,5]=>[2,1,6,7,5,4,3]=>[1,3,1,1,1]=>1100111=>2 [6,7,2,1,3,5,4]=>[2,1,6,7,5,3,4]=>[1,3,1,2]=>1100110=>3 [6,7,2,1,4,3,5]=>[2,1,6,7,4,5,3]=>[1,3,2,1]=>1100101=>4 [6,7,2,1,4,5,3]=>[2,1,6,7,4,3,5]=>[1,3,1,2]=>1100110=>3 [6,7,2,1,5,3,4]=>[2,1,6,7,3,5,4]=>[1,3,2,1]=>1100101=>4 [6,7,2,1,5,4,3]=>[2,1,6,7,3,4,5]=>[1,3,3]=>1100100=>3 [6,7,2,3,1,4,5]=>[2,1,6,5,7,4,3]=>[1,2,2,1,1]=>1101011=>4 [6,7,2,3,1,5,4]=>[2,1,6,5,7,3,4]=>[1,2,2,2]=>1101010=>5 [6,7,2,3,4,1,5]=>[2,1,6,5,4,7,3]=>[1,2,1,2,1]=>1101101=>4 [6,7,2,3,4,5,1]=>[2,1,6,5,4,3,7]=>[1,2,1,1,2]=>1101110=>3 [6,7,2,3,5,1,4]=>[2,1,6,5,3,7,4]=>[1,2,1,2,1]=>1101101=>4 [6,7,2,3,5,4,1]=>[2,1,6,5,3,4,7]=>[1,2,1,3]=>1101100=>3 [6,7,2,4,1,3,5]=>[2,1,6,4,7,5,3]=>[1,2,2,1,1]=>1101011=>4 [6,7,2,4,1,5,3]=>[2,1,6,4,7,3,5]=>[1,2,2,2]=>1101010=>5 [6,7,2,4,3,1,5]=>[2,1,6,4,5,7,3]=>[1,2,3,1]=>1101001=>4 [6,7,2,4,3,5,1]=>[2,1,6,4,5,3,7]=>[1,2,2,2]=>1101010=>5 [6,7,2,4,5,1,3]=>[2,1,6,4,3,7,5]=>[1,2,1,2,1]=>1101101=>4 [6,7,2,4,5,3,1]=>[2,1,6,4,3,5,7]=>[1,2,1,3]=>1101100=>3 [6,7,2,5,1,3,4]=>[2,1,6,3,7,5,4]=>[1,2,2,1,1]=>1101011=>4 [6,7,2,5,1,4,3]=>[2,1,6,3,7,4,5]=>[1,2,2,2]=>1101010=>5 [6,7,2,5,3,1,4]=>[2,1,6,3,5,7,4]=>[1,2,3,1]=>1101001=>4 [6,7,2,5,3,4,1]=>[2,1,6,3,5,4,7]=>[1,2,2,2]=>1101010=>5 [6,7,2,5,4,1,3]=>[2,1,6,3,4,7,5]=>[1,2,3,1]=>1101001=>4 [6,7,2,5,4,3,1]=>[2,1,6,3,4,5,7]=>[1,2,4]=>1101000=>3 [6,7,3,1,2,4,5]=>[2,1,5,7,6,4,3]=>[1,3,1,1,1]=>1100111=>2 [6,7,3,1,2,5,4]=>[2,1,5,7,6,3,4]=>[1,3,1,2]=>1100110=>3 [6,7,3,1,4,2,5]=>[2,1,5,7,4,6,3]=>[1,3,2,1]=>1100101=>4 [6,7,3,1,4,5,2]=>[2,1,5,7,4,3,6]=>[1,3,1,2]=>1100110=>3 [6,7,3,1,5,2,4]=>[2,1,5,7,3,6,4]=>[1,3,2,1]=>1100101=>4 [6,7,3,1,5,4,2]=>[2,1,5,7,3,4,6]=>[1,3,3]=>1100100=>3 [6,7,3,2,1,4,5]=>[2,1,5,6,7,4,3]=>[1,4,1,1]=>1100011=>2 [6,7,3,2,1,5,4]=>[2,1,5,6,7,3,4]=>[1,4,2]=>1100010=>3 [6,7,3,2,4,1,5]=>[2,1,5,6,4,7,3]=>[1,3,2,1]=>1100101=>4 [6,7,3,2,4,5,1]=>[2,1,5,6,4,3,7]=>[1,3,1,2]=>1100110=>3 [6,7,3,2,5,1,4]=>[2,1,5,6,3,7,4]=>[1,3,2,1]=>1100101=>4 [6,7,3,2,5,4,1]=>[2,1,5,6,3,4,7]=>[1,3,3]=>1100100=>3 [6,7,3,4,1,2,5]=>[2,1,5,4,7,6,3]=>[1,2,2,1,1]=>1101011=>4 [6,7,3,4,1,5,2]=>[2,1,5,4,7,3,6]=>[1,2,2,2]=>1101010=>5 [6,7,3,4,2,1,5]=>[2,1,5,4,6,7,3]=>[1,2,3,1]=>1101001=>4 [6,7,3,4,2,5,1]=>[2,1,5,4,6,3,7]=>[1,2,2,2]=>1101010=>5 [6,7,3,4,5,1,2]=>[2,1,5,4,3,7,6]=>[1,2,1,2,1]=>1101101=>4 [6,7,3,4,5,2,1]=>[2,1,5,4,3,6,7]=>[1,2,1,3]=>1101100=>3 [6,7,3,5,1,2,4]=>[2,1,5,3,7,6,4]=>[1,2,2,1,1]=>1101011=>4 [6,7,3,5,1,4,2]=>[2,1,5,3,7,4,6]=>[1,2,2,2]=>1101010=>5 [6,7,3,5,2,1,4]=>[2,1,5,3,6,7,4]=>[1,2,3,1]=>1101001=>4 [6,7,3,5,2,4,1]=>[2,1,5,3,6,4,7]=>[1,2,2,2]=>1101010=>5 [6,7,3,5,4,1,2]=>[2,1,5,3,4,7,6]=>[1,2,3,1]=>1101001=>4 [6,7,3,5,4,2,1]=>[2,1,5,3,4,6,7]=>[1,2,4]=>1101000=>3 [6,7,4,1,2,3,5]=>[2,1,4,7,6,5,3]=>[1,3,1,1,1]=>1100111=>2 [6,7,4,1,2,5,3]=>[2,1,4,7,6,3,5]=>[1,3,1,2]=>1100110=>3 [6,7,4,1,3,2,5]=>[2,1,4,7,5,6,3]=>[1,3,2,1]=>1100101=>4 [6,7,4,1,3,5,2]=>[2,1,4,7,5,3,6]=>[1,3,1,2]=>1100110=>3 [6,7,4,1,5,2,3]=>[2,1,4,7,3,6,5]=>[1,3,2,1]=>1100101=>4 [6,7,4,1,5,3,2]=>[2,1,4,7,3,5,6]=>[1,3,3]=>1100100=>3 [6,7,4,2,1,3,5]=>[2,1,4,6,7,5,3]=>[1,4,1,1]=>1100011=>2 [6,7,4,2,1,5,3]=>[2,1,4,6,7,3,5]=>[1,4,2]=>1100010=>3 [6,7,4,2,3,1,5]=>[2,1,4,6,5,7,3]=>[1,3,2,1]=>1100101=>4 [6,7,4,2,3,5,1]=>[2,1,4,6,5,3,7]=>[1,3,1,2]=>1100110=>3 [6,7,4,2,5,1,3]=>[2,1,4,6,3,7,5]=>[1,3,2,1]=>1100101=>4 [6,7,4,2,5,3,1]=>[2,1,4,6,3,5,7]=>[1,3,3]=>1100100=>3 [6,7,4,3,1,2,5]=>[2,1,4,5,7,6,3]=>[1,4,1,1]=>1100011=>2 [6,7,4,3,1,5,2]=>[2,1,4,5,7,3,6]=>[1,4,2]=>1100010=>3 [6,7,4,3,2,1,5]=>[2,1,4,5,6,7,3]=>[1,5,1]=>1100001=>2 [6,7,4,3,2,5,1]=>[2,1,4,5,6,3,7]=>[1,4,2]=>1100010=>3 [6,7,4,3,5,1,2]=>[2,1,4,5,3,7,6]=>[1,3,2,1]=>1100101=>4 [6,7,4,3,5,2,1]=>[2,1,4,5,3,6,7]=>[1,3,3]=>1100100=>3 [6,7,4,5,1,2,3]=>[2,1,4,3,7,6,5]=>[1,2,2,1,1]=>1101011=>4 [6,7,4,5,1,3,2]=>[2,1,4,3,7,5,6]=>[1,2,2,2]=>1101010=>5 [6,7,4,5,2,1,3]=>[2,1,4,3,6,7,5]=>[1,2,3,1]=>1101001=>4 [6,7,4,5,2,3,1]=>[2,1,4,3,6,5,7]=>[1,2,2,2]=>1101010=>5 [6,7,4,5,3,1,2]=>[2,1,4,3,5,7,6]=>[1,2,3,1]=>1101001=>4 [6,7,4,5,3,2,1]=>[2,1,4,3,5,6,7]=>[1,2,4]=>1101000=>3 [6,7,5,1,2,3,4]=>[2,1,3,7,6,5,4]=>[1,3,1,1,1]=>1100111=>2 [6,7,5,1,2,4,3]=>[2,1,3,7,6,4,5]=>[1,3,1,2]=>1100110=>3 [6,7,5,1,3,2,4]=>[2,1,3,7,5,6,4]=>[1,3,2,1]=>1100101=>4 [6,7,5,1,3,4,2]=>[2,1,3,7,5,4,6]=>[1,3,1,2]=>1100110=>3 [6,7,5,1,4,2,3]=>[2,1,3,7,4,6,5]=>[1,3,2,1]=>1100101=>4 [6,7,5,1,4,3,2]=>[2,1,3,7,4,5,6]=>[1,3,3]=>1100100=>3 [6,7,5,2,1,3,4]=>[2,1,3,6,7,5,4]=>[1,4,1,1]=>1100011=>2 [6,7,5,2,1,4,3]=>[2,1,3,6,7,4,5]=>[1,4,2]=>1100010=>3 [6,7,5,2,3,1,4]=>[2,1,3,6,5,7,4]=>[1,3,2,1]=>1100101=>4 [6,7,5,2,3,4,1]=>[2,1,3,6,5,4,7]=>[1,3,1,2]=>1100110=>3 [6,7,5,2,4,1,3]=>[2,1,3,6,4,7,5]=>[1,3,2,1]=>1100101=>4 [6,7,5,2,4,3,1]=>[2,1,3,6,4,5,7]=>[1,3,3]=>1100100=>3 [6,7,5,3,1,2,4]=>[2,1,3,5,7,6,4]=>[1,4,1,1]=>1100011=>2 [6,7,5,3,1,4,2]=>[2,1,3,5,7,4,6]=>[1,4,2]=>1100010=>3 [6,7,5,3,2,1,4]=>[2,1,3,5,6,7,4]=>[1,5,1]=>1100001=>2 [6,7,5,3,2,4,1]=>[2,1,3,5,6,4,7]=>[1,4,2]=>1100010=>3 [6,7,5,3,4,1,2]=>[2,1,3,5,4,7,6]=>[1,3,2,1]=>1100101=>4 [6,7,5,3,4,2,1]=>[2,1,3,5,4,6,7]=>[1,3,3]=>1100100=>3 [6,7,5,4,1,2,3]=>[2,1,3,4,7,6,5]=>[1,4,1,1]=>1100011=>2 [6,7,5,4,1,3,2]=>[2,1,3,4,7,5,6]=>[1,4,2]=>1100010=>3 [6,7,5,4,2,1,3]=>[2,1,3,4,6,7,5]=>[1,5,1]=>1100001=>2 [6,7,5,4,2,3,1]=>[2,1,3,4,6,5,7]=>[1,4,2]=>1100010=>3 [6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[1,5,1]=>1100001=>2 [6,7,5,4,3,2,1]=>[2,1,3,4,5,6,7]=>[1,6]=>1100000=>1 [7,1,2,3,4,5,6]=>[1,7,6,5,4,3,2]=>[2,1,1,1,1,1]=>1011111=>2 [7,1,2,3,4,6,5]=>[1,7,6,5,4,2,3]=>[2,1,1,1,2]=>1011110=>3 [7,1,2,3,5,4,6]=>[1,7,6,5,3,4,2]=>[2,1,1,2,1]=>1011101=>4 [7,1,2,3,5,6,4]=>[1,7,6,5,3,2,4]=>[2,1,1,1,2]=>1011110=>3 [7,1,2,3,6,4,5]=>[1,7,6,5,2,4,3]=>[2,1,1,2,1]=>1011101=>4 [7,1,2,3,6,5,4]=>[1,7,6,5,2,3,4]=>[2,1,1,3]=>1011100=>3 [7,1,2,4,3,5,6]=>[1,7,6,4,5,3,2]=>[2,1,2,1,1]=>1011011=>4 [7,1,2,4,3,6,5]=>[1,7,6,4,5,2,3]=>[2,1,2,2]=>1011010=>5 [7,1,2,4,5,3,6]=>[1,7,6,4,3,5,2]=>[2,1,1,2,1]=>1011101=>4 [7,1,2,4,5,6,3]=>[1,7,6,4,3,2,5]=>[2,1,1,1,2]=>1011110=>3 [7,1,2,4,6,3,5]=>[1,7,6,4,2,5,3]=>[2,1,1,2,1]=>1011101=>4 [7,1,2,4,6,5,3]=>[1,7,6,4,2,3,5]=>[2,1,1,3]=>1011100=>3 [7,1,2,5,3,4,6]=>[1,7,6,3,5,4,2]=>[2,1,2,1,1]=>1011011=>4 [7,1,2,5,3,6,4]=>[1,7,6,3,5,2,4]=>[2,1,2,2]=>1011010=>5 [7,1,2,5,4,3,6]=>[1,7,6,3,4,5,2]=>[2,1,3,1]=>1011001=>4 [7,1,2,5,4,6,3]=>[1,7,6,3,4,2,5]=>[2,1,2,2]=>1011010=>5 [7,1,2,5,6,3,4]=>[1,7,6,3,2,5,4]=>[2,1,1,2,1]=>1011101=>4 [7,1,2,5,6,4,3]=>[1,7,6,3,2,4,5]=>[2,1,1,3]=>1011100=>3 [7,1,2,6,3,4,5]=>[1,7,6,2,5,4,3]=>[2,1,2,1,1]=>1011011=>4 [7,1,2,6,3,5,4]=>[1,7,6,2,5,3,4]=>[2,1,2,2]=>1011010=>5 [7,1,2,6,4,3,5]=>[1,7,6,2,4,5,3]=>[2,1,3,1]=>1011001=>4 [7,1,2,6,4,5,3]=>[1,7,6,2,4,3,5]=>[2,1,2,2]=>1011010=>5 [7,1,2,6,5,3,4]=>[1,7,6,2,3,5,4]=>[2,1,3,1]=>1011001=>4 [7,1,2,6,5,4,3]=>[1,7,6,2,3,4,5]=>[2,1,4]=>1011000=>3 [7,1,3,2,4,5,6]=>[1,7,5,6,4,3,2]=>[2,2,1,1,1]=>1010111=>4 [7,1,3,2,4,6,5]=>[1,7,5,6,4,2,3]=>[2,2,1,2]=>1010110=>5 [7,1,3,2,5,4,6]=>[1,7,5,6,3,4,2]=>[2,2,2,1]=>1010101=>6 [7,1,3,2,5,6,4]=>[1,7,5,6,3,2,4]=>[2,2,1,2]=>1010110=>5 [7,1,3,2,6,4,5]=>[1,7,5,6,2,4,3]=>[2,2,2,1]=>1010101=>6 [7,1,3,2,6,5,4]=>[1,7,5,6,2,3,4]=>[2,2,3]=>1010100=>5 [7,1,3,4,2,5,6]=>[1,7,5,4,6,3,2]=>[2,1,2,1,1]=>1011011=>4 [7,1,3,4,2,6,5]=>[1,7,5,4,6,2,3]=>[2,1,2,2]=>1011010=>5 [7,1,3,4,5,2,6]=>[1,7,5,4,3,6,2]=>[2,1,1,2,1]=>1011101=>4 [7,1,3,4,5,6,2]=>[1,7,5,4,3,2,6]=>[2,1,1,1,2]=>1011110=>3 [7,1,3,4,6,2,5]=>[1,7,5,4,2,6,3]=>[2,1,1,2,1]=>1011101=>4 [7,1,3,4,6,5,2]=>[1,7,5,4,2,3,6]=>[2,1,1,3]=>1011100=>3 [7,1,3,5,2,4,6]=>[1,7,5,3,6,4,2]=>[2,1,2,1,1]=>1011011=>4 [7,1,3,5,2,6,4]=>[1,7,5,3,6,2,4]=>[2,1,2,2]=>1011010=>5 [7,1,3,5,4,2,6]=>[1,7,5,3,4,6,2]=>[2,1,3,1]=>1011001=>4 [7,1,3,5,4,6,2]=>[1,7,5,3,4,2,6]=>[2,1,2,2]=>1011010=>5 [7,1,3,5,6,2,4]=>[1,7,5,3,2,6,4]=>[2,1,1,2,1]=>1011101=>4 [7,1,3,5,6,4,2]=>[1,7,5,3,2,4,6]=>[2,1,1,3]=>1011100=>3 [7,1,3,6,2,4,5]=>[1,7,5,2,6,4,3]=>[2,1,2,1,1]=>1011011=>4 [7,1,3,6,2,5,4]=>[1,7,5,2,6,3,4]=>[2,1,2,2]=>1011010=>5 [7,1,3,6,4,2,5]=>[1,7,5,2,4,6,3]=>[2,1,3,1]=>1011001=>4 [7,1,3,6,4,5,2]=>[1,7,5,2,4,3,6]=>[2,1,2,2]=>1011010=>5 [7,1,3,6,5,2,4]=>[1,7,5,2,3,6,4]=>[2,1,3,1]=>1011001=>4 [7,1,3,6,5,4,2]=>[1,7,5,2,3,4,6]=>[2,1,4]=>1011000=>3 [7,1,4,2,3,5,6]=>[1,7,4,6,5,3,2]=>[2,2,1,1,1]=>1010111=>4 [7,1,4,2,3,6,5]=>[1,7,4,6,5,2,3]=>[2,2,1,2]=>1010110=>5 [7,1,4,2,5,3,6]=>[1,7,4,6,3,5,2]=>[2,2,2,1]=>1010101=>6 [7,1,4,2,5,6,3]=>[1,7,4,6,3,2,5]=>[2,2,1,2]=>1010110=>5 [7,1,4,2,6,3,5]=>[1,7,4,6,2,5,3]=>[2,2,2,1]=>1010101=>6 [7,1,4,2,6,5,3]=>[1,7,4,6,2,3,5]=>[2,2,3]=>1010100=>5 [7,1,4,3,2,5,6]=>[1,7,4,5,6,3,2]=>[2,3,1,1]=>1010011=>4 [7,1,4,3,2,6,5]=>[1,7,4,5,6,2,3]=>[2,3,2]=>1010010=>5 [7,1,4,3,5,2,6]=>[1,7,4,5,3,6,2]=>[2,2,2,1]=>1010101=>6 [7,1,4,3,5,6,2]=>[1,7,4,5,3,2,6]=>[2,2,1,2]=>1010110=>5 [7,1,4,3,6,2,5]=>[1,7,4,5,2,6,3]=>[2,2,2,1]=>1010101=>6 [7,1,4,3,6,5,2]=>[1,7,4,5,2,3,6]=>[2,2,3]=>1010100=>5 [7,1,4,5,2,3,6]=>[1,7,4,3,6,5,2]=>[2,1,2,1,1]=>1011011=>4 [7,1,4,5,2,6,3]=>[1,7,4,3,6,2,5]=>[2,1,2,2]=>1011010=>5 [7,1,4,5,3,2,6]=>[1,7,4,3,5,6,2]=>[2,1,3,1]=>1011001=>4 [7,1,4,5,3,6,2]=>[1,7,4,3,5,2,6]=>[2,1,2,2]=>1011010=>5 [7,1,4,5,6,2,3]=>[1,7,4,3,2,6,5]=>[2,1,1,2,1]=>1011101=>4 [7,1,4,5,6,3,2]=>[1,7,4,3,2,5,6]=>[2,1,1,3]=>1011100=>3 [7,1,4,6,2,3,5]=>[1,7,4,2,6,5,3]=>[2,1,2,1,1]=>1011011=>4 [7,1,4,6,2,5,3]=>[1,7,4,2,6,3,5]=>[2,1,2,2]=>1011010=>5 [7,1,4,6,3,2,5]=>[1,7,4,2,5,6,3]=>[2,1,3,1]=>1011001=>4 [7,1,4,6,3,5,2]=>[1,7,4,2,5,3,6]=>[2,1,2,2]=>1011010=>5 [7,1,4,6,5,2,3]=>[1,7,4,2,3,6,5]=>[2,1,3,1]=>1011001=>4 [7,1,4,6,5,3,2]=>[1,7,4,2,3,5,6]=>[2,1,4]=>1011000=>3 [7,1,5,2,3,4,6]=>[1,7,3,6,5,4,2]=>[2,2,1,1,1]=>1010111=>4 [7,1,5,2,3,6,4]=>[1,7,3,6,5,2,4]=>[2,2,1,2]=>1010110=>5 [7,1,5,2,4,3,6]=>[1,7,3,6,4,5,2]=>[2,2,2,1]=>1010101=>6 [7,1,5,2,4,6,3]=>[1,7,3,6,4,2,5]=>[2,2,1,2]=>1010110=>5 [7,1,5,2,6,3,4]=>[1,7,3,6,2,5,4]=>[2,2,2,1]=>1010101=>6 [7,1,5,2,6,4,3]=>[1,7,3,6,2,4,5]=>[2,2,3]=>1010100=>5 [7,1,5,3,2,4,6]=>[1,7,3,5,6,4,2]=>[2,3,1,1]=>1010011=>4 [7,1,5,3,2,6,4]=>[1,7,3,5,6,2,4]=>[2,3,2]=>1010010=>5 [7,1,5,3,4,2,6]=>[1,7,3,5,4,6,2]=>[2,2,2,1]=>1010101=>6 [7,1,5,3,4,6,2]=>[1,7,3,5,4,2,6]=>[2,2,1,2]=>1010110=>5 [7,1,5,3,6,2,4]=>[1,7,3,5,2,6,4]=>[2,2,2,1]=>1010101=>6 [7,1,5,3,6,4,2]=>[1,7,3,5,2,4,6]=>[2,2,3]=>1010100=>5 [7,1,5,4,2,3,6]=>[1,7,3,4,6,5,2]=>[2,3,1,1]=>1010011=>4 [7,1,5,4,2,6,3]=>[1,7,3,4,6,2,5]=>[2,3,2]=>1010010=>5 [7,1,5,4,3,2,6]=>[1,7,3,4,5,6,2]=>[2,4,1]=>1010001=>4 [7,1,5,4,3,6,2]=>[1,7,3,4,5,2,6]=>[2,3,2]=>1010010=>5 [7,1,5,4,6,2,3]=>[1,7,3,4,2,6,5]=>[2,2,2,1]=>1010101=>6 [7,1,5,4,6,3,2]=>[1,7,3,4,2,5,6]=>[2,2,3]=>1010100=>5 [7,1,5,6,2,3,4]=>[1,7,3,2,6,5,4]=>[2,1,2,1,1]=>1011011=>4 [7,1,5,6,2,4,3]=>[1,7,3,2,6,4,5]=>[2,1,2,2]=>1011010=>5 [7,1,5,6,3,2,4]=>[1,7,3,2,5,6,4]=>[2,1,3,1]=>1011001=>4 [7,1,5,6,3,4,2]=>[1,7,3,2,5,4,6]=>[2,1,2,2]=>1011010=>5 [7,1,5,6,4,2,3]=>[1,7,3,2,4,6,5]=>[2,1,3,1]=>1011001=>4 [7,1,5,6,4,3,2]=>[1,7,3,2,4,5,6]=>[2,1,4]=>1011000=>3 [7,1,6,2,3,4,5]=>[1,7,2,6,5,4,3]=>[2,2,1,1,1]=>1010111=>4 [7,1,6,2,3,5,4]=>[1,7,2,6,5,3,4]=>[2,2,1,2]=>1010110=>5 [7,1,6,2,4,3,5]=>[1,7,2,6,4,5,3]=>[2,2,2,1]=>1010101=>6 [7,1,6,2,4,5,3]=>[1,7,2,6,4,3,5]=>[2,2,1,2]=>1010110=>5 [7,1,6,2,5,3,4]=>[1,7,2,6,3,5,4]=>[2,2,2,1]=>1010101=>6 [7,1,6,2,5,4,3]=>[1,7,2,6,3,4,5]=>[2,2,3]=>1010100=>5 [7,1,6,3,2,4,5]=>[1,7,2,5,6,4,3]=>[2,3,1,1]=>1010011=>4 [7,1,6,3,2,5,4]=>[1,7,2,5,6,3,4]=>[2,3,2]=>1010010=>5 [7,1,6,3,4,2,5]=>[1,7,2,5,4,6,3]=>[2,2,2,1]=>1010101=>6 [7,1,6,3,4,5,2]=>[1,7,2,5,4,3,6]=>[2,2,1,2]=>1010110=>5 [7,1,6,3,5,2,4]=>[1,7,2,5,3,6,4]=>[2,2,2,1]=>1010101=>6 [7,1,6,3,5,4,2]=>[1,7,2,5,3,4,6]=>[2,2,3]=>1010100=>5 [7,1,6,4,2,3,5]=>[1,7,2,4,6,5,3]=>[2,3,1,1]=>1010011=>4 [7,1,6,4,2,5,3]=>[1,7,2,4,6,3,5]=>[2,3,2]=>1010010=>5 [7,1,6,4,3,2,5]=>[1,7,2,4,5,6,3]=>[2,4,1]=>1010001=>4 [7,1,6,4,3,5,2]=>[1,7,2,4,5,3,6]=>[2,3,2]=>1010010=>5 [7,1,6,4,5,2,3]=>[1,7,2,4,3,6,5]=>[2,2,2,1]=>1010101=>6 [7,1,6,4,5,3,2]=>[1,7,2,4,3,5,6]=>[2,2,3]=>1010100=>5 [7,1,6,5,2,3,4]=>[1,7,2,3,6,5,4]=>[2,3,1,1]=>1010011=>4 [7,1,6,5,2,4,3]=>[1,7,2,3,6,4,5]=>[2,3,2]=>1010010=>5 [7,1,6,5,3,2,4]=>[1,7,2,3,5,6,4]=>[2,4,1]=>1010001=>4 [7,1,6,5,3,4,2]=>[1,7,2,3,5,4,6]=>[2,3,2]=>1010010=>5 [7,1,6,5,4,2,3]=>[1,7,2,3,4,6,5]=>[2,4,1]=>1010001=>4 [7,1,6,5,4,3,2]=>[1,7,2,3,4,5,6]=>[2,5]=>1010000=>3 [7,2,1,3,4,5,6]=>[1,6,7,5,4,3,2]=>[3,1,1,1,1]=>1001111=>2 [7,2,1,3,4,6,5]=>[1,6,7,5,4,2,3]=>[3,1,1,2]=>1001110=>3 [7,2,1,3,5,4,6]=>[1,6,7,5,3,4,2]=>[3,1,2,1]=>1001101=>4 [7,2,1,3,5,6,4]=>[1,6,7,5,3,2,4]=>[3,1,1,2]=>1001110=>3 [7,2,1,3,6,4,5]=>[1,6,7,5,2,4,3]=>[3,1,2,1]=>1001101=>4 [7,2,1,3,6,5,4]=>[1,6,7,5,2,3,4]=>[3,1,3]=>1001100=>3 [7,2,1,4,3,5,6]=>[1,6,7,4,5,3,2]=>[3,2,1,1]=>1001011=>4 [7,2,1,4,3,6,5]=>[1,6,7,4,5,2,3]=>[3,2,2]=>1001010=>5 [7,2,1,4,5,3,6]=>[1,6,7,4,3,5,2]=>[3,1,2,1]=>1001101=>4 [7,2,1,4,5,6,3]=>[1,6,7,4,3,2,5]=>[3,1,1,2]=>1001110=>3 [7,2,1,4,6,3,5]=>[1,6,7,4,2,5,3]=>[3,1,2,1]=>1001101=>4 [7,2,1,4,6,5,3]=>[1,6,7,4,2,3,5]=>[3,1,3]=>1001100=>3 [7,2,1,5,3,4,6]=>[1,6,7,3,5,4,2]=>[3,2,1,1]=>1001011=>4 [7,2,1,5,3,6,4]=>[1,6,7,3,5,2,4]=>[3,2,2]=>1001010=>5 [7,2,1,5,4,3,6]=>[1,6,7,3,4,5,2]=>[3,3,1]=>1001001=>4 [7,2,1,5,4,6,3]=>[1,6,7,3,4,2,5]=>[3,2,2]=>1001010=>5 [7,2,1,5,6,3,4]=>[1,6,7,3,2,5,4]=>[3,1,2,1]=>1001101=>4 [7,2,1,5,6,4,3]=>[1,6,7,3,2,4,5]=>[3,1,3]=>1001100=>3 [7,2,1,6,3,4,5]=>[1,6,7,2,5,4,3]=>[3,2,1,1]=>1001011=>4 [7,2,1,6,3,5,4]=>[1,6,7,2,5,3,4]=>[3,2,2]=>1001010=>5 [7,2,1,6,4,3,5]=>[1,6,7,2,4,5,3]=>[3,3,1]=>1001001=>4 [7,2,1,6,4,5,3]=>[1,6,7,2,4,3,5]=>[3,2,2]=>1001010=>5 [7,2,1,6,5,3,4]=>[1,6,7,2,3,5,4]=>[3,3,1]=>1001001=>4 [7,2,1,6,5,4,3]=>[1,6,7,2,3,4,5]=>[3,4]=>1001000=>3 [7,2,3,1,4,5,6]=>[1,6,5,7,4,3,2]=>[2,2,1,1,1]=>1010111=>4 [7,2,3,1,4,6,5]=>[1,6,5,7,4,2,3]=>[2,2,1,2]=>1010110=>5 [7,2,3,1,5,4,6]=>[1,6,5,7,3,4,2]=>[2,2,2,1]=>1010101=>6 [7,2,3,1,5,6,4]=>[1,6,5,7,3,2,4]=>[2,2,1,2]=>1010110=>5 [7,2,3,1,6,4,5]=>[1,6,5,7,2,4,3]=>[2,2,2,1]=>1010101=>6 [7,2,3,1,6,5,4]=>[1,6,5,7,2,3,4]=>[2,2,3]=>1010100=>5 [7,2,3,4,1,5,6]=>[1,6,5,4,7,3,2]=>[2,1,2,1,1]=>1011011=>4 [7,2,3,4,1,6,5]=>[1,6,5,4,7,2,3]=>[2,1,2,2]=>1011010=>5 [7,2,3,4,5,1,6]=>[1,6,5,4,3,7,2]=>[2,1,1,2,1]=>1011101=>4 [7,2,3,4,5,6,1]=>[1,6,5,4,3,2,7]=>[2,1,1,1,2]=>1011110=>3 [7,2,3,4,6,1,5]=>[1,6,5,4,2,7,3]=>[2,1,1,2,1]=>1011101=>4 [7,2,3,4,6,5,1]=>[1,6,5,4,2,3,7]=>[2,1,1,3]=>1011100=>3 [7,2,3,5,1,4,6]=>[1,6,5,3,7,4,2]=>[2,1,2,1,1]=>1011011=>4 [7,2,3,5,1,6,4]=>[1,6,5,3,7,2,4]=>[2,1,2,2]=>1011010=>5 [7,2,3,5,4,1,6]=>[1,6,5,3,4,7,2]=>[2,1,3,1]=>1011001=>4 [7,2,3,5,4,6,1]=>[1,6,5,3,4,2,7]=>[2,1,2,2]=>1011010=>5 [7,2,3,5,6,1,4]=>[1,6,5,3,2,7,4]=>[2,1,1,2,1]=>1011101=>4 [7,2,3,5,6,4,1]=>[1,6,5,3,2,4,7]=>[2,1,1,3]=>1011100=>3 [7,2,3,6,1,4,5]=>[1,6,5,2,7,4,3]=>[2,1,2,1,1]=>1011011=>4 [7,2,3,6,1,5,4]=>[1,6,5,2,7,3,4]=>[2,1,2,2]=>1011010=>5 [7,2,3,6,4,1,5]=>[1,6,5,2,4,7,3]=>[2,1,3,1]=>1011001=>4 [7,2,3,6,4,5,1]=>[1,6,5,2,4,3,7]=>[2,1,2,2]=>1011010=>5 [7,2,3,6,5,1,4]=>[1,6,5,2,3,7,4]=>[2,1,3,1]=>1011001=>4 [7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[2,1,4]=>1011000=>3 [7,2,4,1,3,5,6]=>[1,6,4,7,5,3,2]=>[2,2,1,1,1]=>1010111=>4 [7,2,4,1,3,6,5]=>[1,6,4,7,5,2,3]=>[2,2,1,2]=>1010110=>5 [7,2,4,1,5,3,6]=>[1,6,4,7,3,5,2]=>[2,2,2,1]=>1010101=>6 [7,2,4,1,5,6,3]=>[1,6,4,7,3,2,5]=>[2,2,1,2]=>1010110=>5 [7,2,4,1,6,3,5]=>[1,6,4,7,2,5,3]=>[2,2,2,1]=>1010101=>6 [7,2,4,1,6,5,3]=>[1,6,4,7,2,3,5]=>[2,2,3]=>1010100=>5 [7,2,4,3,1,5,6]=>[1,6,4,5,7,3,2]=>[2,3,1,1]=>1010011=>4 [7,2,4,3,1,6,5]=>[1,6,4,5,7,2,3]=>[2,3,2]=>1010010=>5 [7,2,4,3,5,1,6]=>[1,6,4,5,3,7,2]=>[2,2,2,1]=>1010101=>6 [7,2,4,3,5,6,1]=>[1,6,4,5,3,2,7]=>[2,2,1,2]=>1010110=>5 [7,2,4,3,6,1,5]=>[1,6,4,5,2,7,3]=>[2,2,2,1]=>1010101=>6 [7,2,4,3,6,5,1]=>[1,6,4,5,2,3,7]=>[2,2,3]=>1010100=>5 [7,2,4,5,1,3,6]=>[1,6,4,3,7,5,2]=>[2,1,2,1,1]=>1011011=>4 [7,2,4,5,1,6,3]=>[1,6,4,3,7,2,5]=>[2,1,2,2]=>1011010=>5 [7,2,4,5,3,1,6]=>[1,6,4,3,5,7,2]=>[2,1,3,1]=>1011001=>4 [7,2,4,5,3,6,1]=>[1,6,4,3,5,2,7]=>[2,1,2,2]=>1011010=>5 [7,2,4,5,6,1,3]=>[1,6,4,3,2,7,5]=>[2,1,1,2,1]=>1011101=>4 [7,2,4,5,6,3,1]=>[1,6,4,3,2,5,7]=>[2,1,1,3]=>1011100=>3 [7,2,4,6,1,3,5]=>[1,6,4,2,7,5,3]=>[2,1,2,1,1]=>1011011=>4 [7,2,4,6,1,5,3]=>[1,6,4,2,7,3,5]=>[2,1,2,2]=>1011010=>5 [7,2,4,6,3,1,5]=>[1,6,4,2,5,7,3]=>[2,1,3,1]=>1011001=>4 [7,2,4,6,3,5,1]=>[1,6,4,2,5,3,7]=>[2,1,2,2]=>1011010=>5 [7,2,4,6,5,1,3]=>[1,6,4,2,3,7,5]=>[2,1,3,1]=>1011001=>4 [7,2,4,6,5,3,1]=>[1,6,4,2,3,5,7]=>[2,1,4]=>1011000=>3 [7,2,5,1,3,4,6]=>[1,6,3,7,5,4,2]=>[2,2,1,1,1]=>1010111=>4 [7,2,5,1,3,6,4]=>[1,6,3,7,5,2,4]=>[2,2,1,2]=>1010110=>5 [7,2,5,1,4,3,6]=>[1,6,3,7,4,5,2]=>[2,2,2,1]=>1010101=>6 [7,2,5,1,4,6,3]=>[1,6,3,7,4,2,5]=>[2,2,1,2]=>1010110=>5 [7,2,5,1,6,3,4]=>[1,6,3,7,2,5,4]=>[2,2,2,1]=>1010101=>6 [7,2,5,1,6,4,3]=>[1,6,3,7,2,4,5]=>[2,2,3]=>1010100=>5 [7,2,5,3,1,4,6]=>[1,6,3,5,7,4,2]=>[2,3,1,1]=>1010011=>4 [7,2,5,3,1,6,4]=>[1,6,3,5,7,2,4]=>[2,3,2]=>1010010=>5 [7,2,5,3,4,1,6]=>[1,6,3,5,4,7,2]=>[2,2,2,1]=>1010101=>6 [7,2,5,3,4,6,1]=>[1,6,3,5,4,2,7]=>[2,2,1,2]=>1010110=>5 [7,2,5,3,6,1,4]=>[1,6,3,5,2,7,4]=>[2,2,2,1]=>1010101=>6 [7,2,5,3,6,4,1]=>[1,6,3,5,2,4,7]=>[2,2,3]=>1010100=>5 [7,2,5,4,1,3,6]=>[1,6,3,4,7,5,2]=>[2,3,1,1]=>1010011=>4 [7,2,5,4,1,6,3]=>[1,6,3,4,7,2,5]=>[2,3,2]=>1010010=>5 [7,2,5,4,3,1,6]=>[1,6,3,4,5,7,2]=>[2,4,1]=>1010001=>4 [7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[2,3,2]=>1010010=>5 [7,2,5,4,6,1,3]=>[1,6,3,4,2,7,5]=>[2,2,2,1]=>1010101=>6 [7,2,5,4,6,3,1]=>[1,6,3,4,2,5,7]=>[2,2,3]=>1010100=>5 [7,2,5,6,1,3,4]=>[1,6,3,2,7,5,4]=>[2,1,2,1,1]=>1011011=>4 [7,2,5,6,1,4,3]=>[1,6,3,2,7,4,5]=>[2,1,2,2]=>1011010=>5 [7,2,5,6,3,1,4]=>[1,6,3,2,5,7,4]=>[2,1,3,1]=>1011001=>4 [7,2,5,6,3,4,1]=>[1,6,3,2,5,4,7]=>[2,1,2,2]=>1011010=>5 [7,2,5,6,4,1,3]=>[1,6,3,2,4,7,5]=>[2,1,3,1]=>1011001=>4 [7,2,5,6,4,3,1]=>[1,6,3,2,4,5,7]=>[2,1,4]=>1011000=>3 [7,2,6,1,3,4,5]=>[1,6,2,7,5,4,3]=>[2,2,1,1,1]=>1010111=>4 [7,2,6,1,3,5,4]=>[1,6,2,7,5,3,4]=>[2,2,1,2]=>1010110=>5 [7,2,6,1,4,3,5]=>[1,6,2,7,4,5,3]=>[2,2,2,1]=>1010101=>6 [7,2,6,1,4,5,3]=>[1,6,2,7,4,3,5]=>[2,2,1,2]=>1010110=>5 [7,2,6,1,5,3,4]=>[1,6,2,7,3,5,4]=>[2,2,2,1]=>1010101=>6 [7,2,6,1,5,4,3]=>[1,6,2,7,3,4,5]=>[2,2,3]=>1010100=>5 [7,2,6,3,1,4,5]=>[1,6,2,5,7,4,3]=>[2,3,1,1]=>1010011=>4 [7,2,6,3,1,5,4]=>[1,6,2,5,7,3,4]=>[2,3,2]=>1010010=>5 [7,2,6,3,4,1,5]=>[1,6,2,5,4,7,3]=>[2,2,2,1]=>1010101=>6 [7,2,6,3,4,5,1]=>[1,6,2,5,4,3,7]=>[2,2,1,2]=>1010110=>5 [7,2,6,3,5,1,4]=>[1,6,2,5,3,7,4]=>[2,2,2,1]=>1010101=>6 [7,2,6,3,5,4,1]=>[1,6,2,5,3,4,7]=>[2,2,3]=>1010100=>5 [7,2,6,4,1,3,5]=>[1,6,2,4,7,5,3]=>[2,3,1,1]=>1010011=>4 [7,2,6,4,1,5,3]=>[1,6,2,4,7,3,5]=>[2,3,2]=>1010010=>5 [7,2,6,4,3,1,5]=>[1,6,2,4,5,7,3]=>[2,4,1]=>1010001=>4 [7,2,6,4,3,5,1]=>[1,6,2,4,5,3,7]=>[2,3,2]=>1010010=>5 [7,2,6,4,5,1,3]=>[1,6,2,4,3,7,5]=>[2,2,2,1]=>1010101=>6 [7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[2,2,3]=>1010100=>5 [7,2,6,5,1,3,4]=>[1,6,2,3,7,5,4]=>[2,3,1,1]=>1010011=>4 [7,2,6,5,1,4,3]=>[1,6,2,3,7,4,5]=>[2,3,2]=>1010010=>5 [7,2,6,5,3,1,4]=>[1,6,2,3,5,7,4]=>[2,4,1]=>1010001=>4 [7,2,6,5,3,4,1]=>[1,6,2,3,5,4,7]=>[2,3,2]=>1010010=>5 [7,2,6,5,4,1,3]=>[1,6,2,3,4,7,5]=>[2,4,1]=>1010001=>4 [7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[2,5]=>1010000=>3 [7,3,1,2,4,5,6]=>[1,5,7,6,4,3,2]=>[3,1,1,1,1]=>1001111=>2 [7,3,1,2,4,6,5]=>[1,5,7,6,4,2,3]=>[3,1,1,2]=>1001110=>3 [7,3,1,2,5,4,6]=>[1,5,7,6,3,4,2]=>[3,1,2,1]=>1001101=>4 [7,3,1,2,5,6,4]=>[1,5,7,6,3,2,4]=>[3,1,1,2]=>1001110=>3 [7,3,1,2,6,4,5]=>[1,5,7,6,2,4,3]=>[3,1,2,1]=>1001101=>4 [7,3,1,2,6,5,4]=>[1,5,7,6,2,3,4]=>[3,1,3]=>1001100=>3 [7,3,1,4,2,5,6]=>[1,5,7,4,6,3,2]=>[3,2,1,1]=>1001011=>4 [7,3,1,4,2,6,5]=>[1,5,7,4,6,2,3]=>[3,2,2]=>1001010=>5 [7,3,1,4,5,2,6]=>[1,5,7,4,3,6,2]=>[3,1,2,1]=>1001101=>4 [7,3,1,4,5,6,2]=>[1,5,7,4,3,2,6]=>[3,1,1,2]=>1001110=>3 [7,3,1,4,6,2,5]=>[1,5,7,4,2,6,3]=>[3,1,2,1]=>1001101=>4 [7,3,1,4,6,5,2]=>[1,5,7,4,2,3,6]=>[3,1,3]=>1001100=>3 [7,3,1,5,2,4,6]=>[1,5,7,3,6,4,2]=>[3,2,1,1]=>1001011=>4 [7,3,1,5,2,6,4]=>[1,5,7,3,6,2,4]=>[3,2,2]=>1001010=>5 [7,3,1,5,4,2,6]=>[1,5,7,3,4,6,2]=>[3,3,1]=>1001001=>4 [7,3,1,5,4,6,2]=>[1,5,7,3,4,2,6]=>[3,2,2]=>1001010=>5 [7,3,1,5,6,2,4]=>[1,5,7,3,2,6,4]=>[3,1,2,1]=>1001101=>4 [7,3,1,5,6,4,2]=>[1,5,7,3,2,4,6]=>[3,1,3]=>1001100=>3 [7,3,1,6,2,4,5]=>[1,5,7,2,6,4,3]=>[3,2,1,1]=>1001011=>4 [7,3,1,6,2,5,4]=>[1,5,7,2,6,3,4]=>[3,2,2]=>1001010=>5 [7,3,1,6,4,2,5]=>[1,5,7,2,4,6,3]=>[3,3,1]=>1001001=>4 [7,3,1,6,4,5,2]=>[1,5,7,2,4,3,6]=>[3,2,2]=>1001010=>5 [7,3,1,6,5,2,4]=>[1,5,7,2,3,6,4]=>[3,3,1]=>1001001=>4 [7,3,1,6,5,4,2]=>[1,5,7,2,3,4,6]=>[3,4]=>1001000=>3 [7,3,2,1,4,5,6]=>[1,5,6,7,4,3,2]=>[4,1,1,1]=>1000111=>2 [7,3,2,1,4,6,5]=>[1,5,6,7,4,2,3]=>[4,1,2]=>1000110=>3 [7,3,2,1,5,4,6]=>[1,5,6,7,3,4,2]=>[4,2,1]=>1000101=>4 [7,3,2,1,5,6,4]=>[1,5,6,7,3,2,4]=>[4,1,2]=>1000110=>3 [7,3,2,1,6,4,5]=>[1,5,6,7,2,4,3]=>[4,2,1]=>1000101=>4 [7,3,2,1,6,5,4]=>[1,5,6,7,2,3,4]=>[4,3]=>1000100=>3 [7,3,2,4,1,5,6]=>[1,5,6,4,7,3,2]=>[3,2,1,1]=>1001011=>4 [7,3,2,4,1,6,5]=>[1,5,6,4,7,2,3]=>[3,2,2]=>1001010=>5 [7,3,2,4,5,1,6]=>[1,5,6,4,3,7,2]=>[3,1,2,1]=>1001101=>4 [7,3,2,4,5,6,1]=>[1,5,6,4,3,2,7]=>[3,1,1,2]=>1001110=>3 [7,3,2,4,6,1,5]=>[1,5,6,4,2,7,3]=>[3,1,2,1]=>1001101=>4 [7,3,2,4,6,5,1]=>[1,5,6,4,2,3,7]=>[3,1,3]=>1001100=>3 [7,3,2,5,1,4,6]=>[1,5,6,3,7,4,2]=>[3,2,1,1]=>1001011=>4 [7,3,2,5,1,6,4]=>[1,5,6,3,7,2,4]=>[3,2,2]=>1001010=>5 [7,3,2,5,4,1,6]=>[1,5,6,3,4,7,2]=>[3,3,1]=>1001001=>4 [7,3,2,5,4,6,1]=>[1,5,6,3,4,2,7]=>[3,2,2]=>1001010=>5 [7,3,2,5,6,1,4]=>[1,5,6,3,2,7,4]=>[3,1,2,1]=>1001101=>4 [7,3,2,5,6,4,1]=>[1,5,6,3,2,4,7]=>[3,1,3]=>1001100=>3 [7,3,2,6,1,4,5]=>[1,5,6,2,7,4,3]=>[3,2,1,1]=>1001011=>4 [7,3,2,6,1,5,4]=>[1,5,6,2,7,3,4]=>[3,2,2]=>1001010=>5 [7,3,2,6,4,1,5]=>[1,5,6,2,4,7,3]=>[3,3,1]=>1001001=>4 [7,3,2,6,4,5,1]=>[1,5,6,2,4,3,7]=>[3,2,2]=>1001010=>5 [7,3,2,6,5,1,4]=>[1,5,6,2,3,7,4]=>[3,3,1]=>1001001=>4 [7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[3,4]=>1001000=>3 [7,3,4,1,2,5,6]=>[1,5,4,7,6,3,2]=>[2,2,1,1,1]=>1010111=>4 [7,3,4,1,2,6,5]=>[1,5,4,7,6,2,3]=>[2,2,1,2]=>1010110=>5 [7,3,4,1,5,2,6]=>[1,5,4,7,3,6,2]=>[2,2,2,1]=>1010101=>6 [7,3,4,1,5,6,2]=>[1,5,4,7,3,2,6]=>[2,2,1,2]=>1010110=>5 [7,3,4,1,6,2,5]=>[1,5,4,7,2,6,3]=>[2,2,2,1]=>1010101=>6 [7,3,4,1,6,5,2]=>[1,5,4,7,2,3,6]=>[2,2,3]=>1010100=>5 [7,3,4,2,1,5,6]=>[1,5,4,6,7,3,2]=>[2,3,1,1]=>1010011=>4 [7,3,4,2,1,6,5]=>[1,5,4,6,7,2,3]=>[2,3,2]=>1010010=>5 [7,3,4,2,5,1,6]=>[1,5,4,6,3,7,2]=>[2,2,2,1]=>1010101=>6 [7,3,4,2,5,6,1]=>[1,5,4,6,3,2,7]=>[2,2,1,2]=>1010110=>5 [7,3,4,2,6,1,5]=>[1,5,4,6,2,7,3]=>[2,2,2,1]=>1010101=>6 [7,3,4,2,6,5,1]=>[1,5,4,6,2,3,7]=>[2,2,3]=>1010100=>5 [7,3,4,5,1,2,6]=>[1,5,4,3,7,6,2]=>[2,1,2,1,1]=>1011011=>4 [7,3,4,5,1,6,2]=>[1,5,4,3,7,2,6]=>[2,1,2,2]=>1011010=>5 [7,3,4,5,2,1,6]=>[1,5,4,3,6,7,2]=>[2,1,3,1]=>1011001=>4 [7,3,4,5,2,6,1]=>[1,5,4,3,6,2,7]=>[2,1,2,2]=>1011010=>5 [7,3,4,5,6,1,2]=>[1,5,4,3,2,7,6]=>[2,1,1,2,1]=>1011101=>4 [7,3,4,5,6,2,1]=>[1,5,4,3,2,6,7]=>[2,1,1,3]=>1011100=>3 [7,3,4,6,1,2,5]=>[1,5,4,2,7,6,3]=>[2,1,2,1,1]=>1011011=>4 [7,3,4,6,1,5,2]=>[1,5,4,2,7,3,6]=>[2,1,2,2]=>1011010=>5 [7,3,4,6,2,1,5]=>[1,5,4,2,6,7,3]=>[2,1,3,1]=>1011001=>4 [7,3,4,6,2,5,1]=>[1,5,4,2,6,3,7]=>[2,1,2,2]=>1011010=>5 [7,3,4,6,5,1,2]=>[1,5,4,2,3,7,6]=>[2,1,3,1]=>1011001=>4 [7,3,4,6,5,2,1]=>[1,5,4,2,3,6,7]=>[2,1,4]=>1011000=>3 [7,3,5,1,2,4,6]=>[1,5,3,7,6,4,2]=>[2,2,1,1,1]=>1010111=>4 [7,3,5,1,2,6,4]=>[1,5,3,7,6,2,4]=>[2,2,1,2]=>1010110=>5 [7,3,5,1,4,2,6]=>[1,5,3,7,4,6,2]=>[2,2,2,1]=>1010101=>6 [7,3,5,1,4,6,2]=>[1,5,3,7,4,2,6]=>[2,2,1,2]=>1010110=>5 [7,3,5,1,6,2,4]=>[1,5,3,7,2,6,4]=>[2,2,2,1]=>1010101=>6 [7,3,5,1,6,4,2]=>[1,5,3,7,2,4,6]=>[2,2,3]=>1010100=>5 [7,3,5,2,1,4,6]=>[1,5,3,6,7,4,2]=>[2,3,1,1]=>1010011=>4 [7,3,5,2,1,6,4]=>[1,5,3,6,7,2,4]=>[2,3,2]=>1010010=>5 [7,3,5,2,4,1,6]=>[1,5,3,6,4,7,2]=>[2,2,2,1]=>1010101=>6 [7,3,5,2,4,6,1]=>[1,5,3,6,4,2,7]=>[2,2,1,2]=>1010110=>5 [7,3,5,2,6,1,4]=>[1,5,3,6,2,7,4]=>[2,2,2,1]=>1010101=>6 [7,3,5,2,6,4,1]=>[1,5,3,6,2,4,7]=>[2,2,3]=>1010100=>5 [7,3,5,4,1,2,6]=>[1,5,3,4,7,6,2]=>[2,3,1,1]=>1010011=>4 [7,3,5,4,1,6,2]=>[1,5,3,4,7,2,6]=>[2,3,2]=>1010010=>5 [7,3,5,4,2,1,6]=>[1,5,3,4,6,7,2]=>[2,4,1]=>1010001=>4 [7,3,5,4,2,6,1]=>[1,5,3,4,6,2,7]=>[2,3,2]=>1010010=>5 [7,3,5,4,6,1,2]=>[1,5,3,4,2,7,6]=>[2,2,2,1]=>1010101=>6 [7,3,5,4,6,2,1]=>[1,5,3,4,2,6,7]=>[2,2,3]=>1010100=>5 [7,3,5,6,1,2,4]=>[1,5,3,2,7,6,4]=>[2,1,2,1,1]=>1011011=>4 [7,3,5,6,1,4,2]=>[1,5,3,2,7,4,6]=>[2,1,2,2]=>1011010=>5 [7,3,5,6,2,1,4]=>[1,5,3,2,6,7,4]=>[2,1,3,1]=>1011001=>4 [7,3,5,6,2,4,1]=>[1,5,3,2,6,4,7]=>[2,1,2,2]=>1011010=>5 [7,3,5,6,4,1,2]=>[1,5,3,2,4,7,6]=>[2,1,3,1]=>1011001=>4 [7,3,5,6,4,2,1]=>[1,5,3,2,4,6,7]=>[2,1,4]=>1011000=>3 [7,3,6,1,2,4,5]=>[1,5,2,7,6,4,3]=>[2,2,1,1,1]=>1010111=>4 [7,3,6,1,2,5,4]=>[1,5,2,7,6,3,4]=>[2,2,1,2]=>1010110=>5 [7,3,6,1,4,2,5]=>[1,5,2,7,4,6,3]=>[2,2,2,1]=>1010101=>6 [7,3,6,1,4,5,2]=>[1,5,2,7,4,3,6]=>[2,2,1,2]=>1010110=>5 [7,3,6,1,5,2,4]=>[1,5,2,7,3,6,4]=>[2,2,2,1]=>1010101=>6 [7,3,6,1,5,4,2]=>[1,5,2,7,3,4,6]=>[2,2,3]=>1010100=>5 [7,3,6,2,1,4,5]=>[1,5,2,6,7,4,3]=>[2,3,1,1]=>1010011=>4 [7,3,6,2,1,5,4]=>[1,5,2,6,7,3,4]=>[2,3,2]=>1010010=>5 [7,3,6,2,4,1,5]=>[1,5,2,6,4,7,3]=>[2,2,2,1]=>1010101=>6 [7,3,6,2,4,5,1]=>[1,5,2,6,4,3,7]=>[2,2,1,2]=>1010110=>5 [7,3,6,2,5,1,4]=>[1,5,2,6,3,7,4]=>[2,2,2,1]=>1010101=>6 [7,3,6,2,5,4,1]=>[1,5,2,6,3,4,7]=>[2,2,3]=>1010100=>5 [7,3,6,4,1,2,5]=>[1,5,2,4,7,6,3]=>[2,3,1,1]=>1010011=>4 [7,3,6,4,1,5,2]=>[1,5,2,4,7,3,6]=>[2,3,2]=>1010010=>5 [7,3,6,4,2,1,5]=>[1,5,2,4,6,7,3]=>[2,4,1]=>1010001=>4 [7,3,6,4,2,5,1]=>[1,5,2,4,6,3,7]=>[2,3,2]=>1010010=>5 [7,3,6,4,5,1,2]=>[1,5,2,4,3,7,6]=>[2,2,2,1]=>1010101=>6 [7,3,6,4,5,2,1]=>[1,5,2,4,3,6,7]=>[2,2,3]=>1010100=>5 [7,3,6,5,1,2,4]=>[1,5,2,3,7,6,4]=>[2,3,1,1]=>1010011=>4 [7,3,6,5,1,4,2]=>[1,5,2,3,7,4,6]=>[2,3,2]=>1010010=>5 [7,3,6,5,2,1,4]=>[1,5,2,3,6,7,4]=>[2,4,1]=>1010001=>4 [7,3,6,5,2,4,1]=>[1,5,2,3,6,4,7]=>[2,3,2]=>1010010=>5 [7,3,6,5,4,1,2]=>[1,5,2,3,4,7,6]=>[2,4,1]=>1010001=>4 [7,3,6,5,4,2,1]=>[1,5,2,3,4,6,7]=>[2,5]=>1010000=>3 [7,4,1,2,3,5,6]=>[1,4,7,6,5,3,2]=>[3,1,1,1,1]=>1001111=>2 [7,4,1,2,3,6,5]=>[1,4,7,6,5,2,3]=>[3,1,1,2]=>1001110=>3 [7,4,1,2,5,3,6]=>[1,4,7,6,3,5,2]=>[3,1,2,1]=>1001101=>4 [7,4,1,2,5,6,3]=>[1,4,7,6,3,2,5]=>[3,1,1,2]=>1001110=>3 [7,4,1,2,6,3,5]=>[1,4,7,6,2,5,3]=>[3,1,2,1]=>1001101=>4 [7,4,1,2,6,5,3]=>[1,4,7,6,2,3,5]=>[3,1,3]=>1001100=>3 [7,4,1,3,2,5,6]=>[1,4,7,5,6,3,2]=>[3,2,1,1]=>1001011=>4 [7,4,1,3,2,6,5]=>[1,4,7,5,6,2,3]=>[3,2,2]=>1001010=>5 [7,4,1,3,5,2,6]=>[1,4,7,5,3,6,2]=>[3,1,2,1]=>1001101=>4 [7,4,1,3,5,6,2]=>[1,4,7,5,3,2,6]=>[3,1,1,2]=>1001110=>3 [7,4,1,3,6,2,5]=>[1,4,7,5,2,6,3]=>[3,1,2,1]=>1001101=>4 [7,4,1,3,6,5,2]=>[1,4,7,5,2,3,6]=>[3,1,3]=>1001100=>3 [7,4,1,5,2,3,6]=>[1,4,7,3,6,5,2]=>[3,2,1,1]=>1001011=>4 [7,4,1,5,2,6,3]=>[1,4,7,3,6,2,5]=>[3,2,2]=>1001010=>5 [7,4,1,5,3,2,6]=>[1,4,7,3,5,6,2]=>[3,3,1]=>1001001=>4 [7,4,1,5,3,6,2]=>[1,4,7,3,5,2,6]=>[3,2,2]=>1001010=>5 [7,4,1,5,6,2,3]=>[1,4,7,3,2,6,5]=>[3,1,2,1]=>1001101=>4 [7,4,1,5,6,3,2]=>[1,4,7,3,2,5,6]=>[3,1,3]=>1001100=>3 [7,4,1,6,2,3,5]=>[1,4,7,2,6,5,3]=>[3,2,1,1]=>1001011=>4 [7,4,1,6,2,5,3]=>[1,4,7,2,6,3,5]=>[3,2,2]=>1001010=>5 [7,4,1,6,3,2,5]=>[1,4,7,2,5,6,3]=>[3,3,1]=>1001001=>4 [7,4,1,6,3,5,2]=>[1,4,7,2,5,3,6]=>[3,2,2]=>1001010=>5 [7,4,1,6,5,2,3]=>[1,4,7,2,3,6,5]=>[3,3,1]=>1001001=>4 [7,4,1,6,5,3,2]=>[1,4,7,2,3,5,6]=>[3,4]=>1001000=>3 [7,4,2,1,3,5,6]=>[1,4,6,7,5,3,2]=>[4,1,1,1]=>1000111=>2 [7,4,2,1,3,6,5]=>[1,4,6,7,5,2,3]=>[4,1,2]=>1000110=>3 [7,4,2,1,5,3,6]=>[1,4,6,7,3,5,2]=>[4,2,1]=>1000101=>4 [7,4,2,1,5,6,3]=>[1,4,6,7,3,2,5]=>[4,1,2]=>1000110=>3 [7,4,2,1,6,3,5]=>[1,4,6,7,2,5,3]=>[4,2,1]=>1000101=>4 [7,4,2,1,6,5,3]=>[1,4,6,7,2,3,5]=>[4,3]=>1000100=>3 [7,4,2,3,1,5,6]=>[1,4,6,5,7,3,2]=>[3,2,1,1]=>1001011=>4 [7,4,2,3,1,6,5]=>[1,4,6,5,7,2,3]=>[3,2,2]=>1001010=>5 [7,4,2,3,5,1,6]=>[1,4,6,5,3,7,2]=>[3,1,2,1]=>1001101=>4 [7,4,2,3,5,6,1]=>[1,4,6,5,3,2,7]=>[3,1,1,2]=>1001110=>3 [7,4,2,3,6,1,5]=>[1,4,6,5,2,7,3]=>[3,1,2,1]=>1001101=>4 [7,4,2,3,6,5,1]=>[1,4,6,5,2,3,7]=>[3,1,3]=>1001100=>3 [7,4,2,5,1,3,6]=>[1,4,6,3,7,5,2]=>[3,2,1,1]=>1001011=>4 [7,4,2,5,1,6,3]=>[1,4,6,3,7,2,5]=>[3,2,2]=>1001010=>5 [7,4,2,5,3,1,6]=>[1,4,6,3,5,7,2]=>[3,3,1]=>1001001=>4 [7,4,2,5,3,6,1]=>[1,4,6,3,5,2,7]=>[3,2,2]=>1001010=>5 [7,4,2,5,6,1,3]=>[1,4,6,3,2,7,5]=>[3,1,2,1]=>1001101=>4 [7,4,2,5,6,3,1]=>[1,4,6,3,2,5,7]=>[3,1,3]=>1001100=>3 [7,4,2,6,1,3,5]=>[1,4,6,2,7,5,3]=>[3,2,1,1]=>1001011=>4 [7,4,2,6,1,5,3]=>[1,4,6,2,7,3,5]=>[3,2,2]=>1001010=>5 [7,4,2,6,3,1,5]=>[1,4,6,2,5,7,3]=>[3,3,1]=>1001001=>4 [7,4,2,6,3,5,1]=>[1,4,6,2,5,3,7]=>[3,2,2]=>1001010=>5 [7,4,2,6,5,1,3]=>[1,4,6,2,3,7,5]=>[3,3,1]=>1001001=>4 [7,4,2,6,5,3,1]=>[1,4,6,2,3,5,7]=>[3,4]=>1001000=>3 [7,4,3,1,2,5,6]=>[1,4,5,7,6,3,2]=>[4,1,1,1]=>1000111=>2 [7,4,3,1,2,6,5]=>[1,4,5,7,6,2,3]=>[4,1,2]=>1000110=>3 [7,4,3,1,5,2,6]=>[1,4,5,7,3,6,2]=>[4,2,1]=>1000101=>4 [7,4,3,1,5,6,2]=>[1,4,5,7,3,2,6]=>[4,1,2]=>1000110=>3 [7,4,3,1,6,2,5]=>[1,4,5,7,2,6,3]=>[4,2,1]=>1000101=>4 [7,4,3,1,6,5,2]=>[1,4,5,7,2,3,6]=>[4,3]=>1000100=>3 [7,4,3,2,1,5,6]=>[1,4,5,6,7,3,2]=>[5,1,1]=>1000011=>2 [7,4,3,2,1,6,5]=>[1,4,5,6,7,2,3]=>[5,2]=>1000010=>3 [7,4,3,2,5,1,6]=>[1,4,5,6,3,7,2]=>[4,2,1]=>1000101=>4 [7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[4,1,2]=>1000110=>3 [7,4,3,2,6,1,5]=>[1,4,5,6,2,7,3]=>[4,2,1]=>1000101=>4 [7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[4,3]=>1000100=>3 [7,4,3,5,1,2,6]=>[1,4,5,3,7,6,2]=>[3,2,1,1]=>1001011=>4 [7,4,3,5,1,6,2]=>[1,4,5,3,7,2,6]=>[3,2,2]=>1001010=>5 [7,4,3,5,2,1,6]=>[1,4,5,3,6,7,2]=>[3,3,1]=>1001001=>4 [7,4,3,5,2,6,1]=>[1,4,5,3,6,2,7]=>[3,2,2]=>1001010=>5 [7,4,3,5,6,1,2]=>[1,4,5,3,2,7,6]=>[3,1,2,1]=>1001101=>4 [7,4,3,5,6,2,1]=>[1,4,5,3,2,6,7]=>[3,1,3]=>1001100=>3 [7,4,3,6,1,2,5]=>[1,4,5,2,7,6,3]=>[3,2,1,1]=>1001011=>4 [7,4,3,6,1,5,2]=>[1,4,5,2,7,3,6]=>[3,2,2]=>1001010=>5 [7,4,3,6,2,1,5]=>[1,4,5,2,6,7,3]=>[3,3,1]=>1001001=>4 [7,4,3,6,2,5,1]=>[1,4,5,2,6,3,7]=>[3,2,2]=>1001010=>5 [7,4,3,6,5,1,2]=>[1,4,5,2,3,7,6]=>[3,3,1]=>1001001=>4 [7,4,3,6,5,2,1]=>[1,4,5,2,3,6,7]=>[3,4]=>1001000=>3 [7,4,5,1,2,3,6]=>[1,4,3,7,6,5,2]=>[2,2,1,1,1]=>1010111=>4 [7,4,5,1,2,6,3]=>[1,4,3,7,6,2,5]=>[2,2,1,2]=>1010110=>5 [7,4,5,1,3,2,6]=>[1,4,3,7,5,6,2]=>[2,2,2,1]=>1010101=>6 [7,4,5,1,3,6,2]=>[1,4,3,7,5,2,6]=>[2,2,1,2]=>1010110=>5 [7,4,5,1,6,2,3]=>[1,4,3,7,2,6,5]=>[2,2,2,1]=>1010101=>6 [7,4,5,1,6,3,2]=>[1,4,3,7,2,5,6]=>[2,2,3]=>1010100=>5 [7,4,5,2,1,3,6]=>[1,4,3,6,7,5,2]=>[2,3,1,1]=>1010011=>4 [7,4,5,2,1,6,3]=>[1,4,3,6,7,2,5]=>[2,3,2]=>1010010=>5 [7,4,5,2,3,1,6]=>[1,4,3,6,5,7,2]=>[2,2,2,1]=>1010101=>6 [7,4,5,2,3,6,1]=>[1,4,3,6,5,2,7]=>[2,2,1,2]=>1010110=>5 [7,4,5,2,6,1,3]=>[1,4,3,6,2,7,5]=>[2,2,2,1]=>1010101=>6 [7,4,5,2,6,3,1]=>[1,4,3,6,2,5,7]=>[2,2,3]=>1010100=>5 [7,4,5,3,1,2,6]=>[1,4,3,5,7,6,2]=>[2,3,1,1]=>1010011=>4 [7,4,5,3,1,6,2]=>[1,4,3,5,7,2,6]=>[2,3,2]=>1010010=>5 [7,4,5,3,2,1,6]=>[1,4,3,5,6,7,2]=>[2,4,1]=>1010001=>4 [7,4,5,3,2,6,1]=>[1,4,3,5,6,2,7]=>[2,3,2]=>1010010=>5 [7,4,5,3,6,1,2]=>[1,4,3,5,2,7,6]=>[2,2,2,1]=>1010101=>6 [7,4,5,3,6,2,1]=>[1,4,3,5,2,6,7]=>[2,2,3]=>1010100=>5 [7,4,5,6,1,2,3]=>[1,4,3,2,7,6,5]=>[2,1,2,1,1]=>1011011=>4 [7,4,5,6,1,3,2]=>[1,4,3,2,7,5,6]=>[2,1,2,2]=>1011010=>5 [7,4,5,6,2,1,3]=>[1,4,3,2,6,7,5]=>[2,1,3,1]=>1011001=>4 [7,4,5,6,2,3,1]=>[1,4,3,2,6,5,7]=>[2,1,2,2]=>1011010=>5 [7,4,5,6,3,1,2]=>[1,4,3,2,5,7,6]=>[2,1,3,1]=>1011001=>4 [7,4,5,6,3,2,1]=>[1,4,3,2,5,6,7]=>[2,1,4]=>1011000=>3 [7,4,6,1,2,3,5]=>[1,4,2,7,6,5,3]=>[2,2,1,1,1]=>1010111=>4 [7,4,6,1,2,5,3]=>[1,4,2,7,6,3,5]=>[2,2,1,2]=>1010110=>5 [7,4,6,1,3,2,5]=>[1,4,2,7,5,6,3]=>[2,2,2,1]=>1010101=>6 [7,4,6,1,3,5,2]=>[1,4,2,7,5,3,6]=>[2,2,1,2]=>1010110=>5 [7,4,6,1,5,2,3]=>[1,4,2,7,3,6,5]=>[2,2,2,1]=>1010101=>6 [7,4,6,1,5,3,2]=>[1,4,2,7,3,5,6]=>[2,2,3]=>1010100=>5 [7,4,6,2,1,3,5]=>[1,4,2,6,7,5,3]=>[2,3,1,1]=>1010011=>4 [7,4,6,2,1,5,3]=>[1,4,2,6,7,3,5]=>[2,3,2]=>1010010=>5 [7,4,6,2,3,1,5]=>[1,4,2,6,5,7,3]=>[2,2,2,1]=>1010101=>6 [7,4,6,2,3,5,1]=>[1,4,2,6,5,3,7]=>[2,2,1,2]=>1010110=>5 [7,4,6,2,5,1,3]=>[1,4,2,6,3,7,5]=>[2,2,2,1]=>1010101=>6 [7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[2,2,3]=>1010100=>5 [7,4,6,3,1,2,5]=>[1,4,2,5,7,6,3]=>[2,3,1,1]=>1010011=>4 [7,4,6,3,1,5,2]=>[1,4,2,5,7,3,6]=>[2,3,2]=>1010010=>5 [7,4,6,3,2,1,5]=>[1,4,2,5,6,7,3]=>[2,4,1]=>1010001=>4 [7,4,6,3,2,5,1]=>[1,4,2,5,6,3,7]=>[2,3,2]=>1010010=>5 [7,4,6,3,5,1,2]=>[1,4,2,5,3,7,6]=>[2,2,2,1]=>1010101=>6 [7,4,6,3,5,2,1]=>[1,4,2,5,3,6,7]=>[2,2,3]=>1010100=>5 [7,4,6,5,1,2,3]=>[1,4,2,3,7,6,5]=>[2,3,1,1]=>1010011=>4 [7,4,6,5,1,3,2]=>[1,4,2,3,7,5,6]=>[2,3,2]=>1010010=>5 [7,4,6,5,2,1,3]=>[1,4,2,3,6,7,5]=>[2,4,1]=>1010001=>4 [7,4,6,5,2,3,1]=>[1,4,2,3,6,5,7]=>[2,3,2]=>1010010=>5 [7,4,6,5,3,1,2]=>[1,4,2,3,5,7,6]=>[2,4,1]=>1010001=>4 [7,4,6,5,3,2,1]=>[1,4,2,3,5,6,7]=>[2,5]=>1010000=>3 [7,5,1,2,3,4,6]=>[1,3,7,6,5,4,2]=>[3,1,1,1,1]=>1001111=>2 [7,5,1,2,3,6,4]=>[1,3,7,6,5,2,4]=>[3,1,1,2]=>1001110=>3 [7,5,1,2,4,3,6]=>[1,3,7,6,4,5,2]=>[3,1,2,1]=>1001101=>4 [7,5,1,2,4,6,3]=>[1,3,7,6,4,2,5]=>[3,1,1,2]=>1001110=>3 [7,5,1,2,6,3,4]=>[1,3,7,6,2,5,4]=>[3,1,2,1]=>1001101=>4 [7,5,1,2,6,4,3]=>[1,3,7,6,2,4,5]=>[3,1,3]=>1001100=>3 [7,5,1,3,2,4,6]=>[1,3,7,5,6,4,2]=>[3,2,1,1]=>1001011=>4 [7,5,1,3,2,6,4]=>[1,3,7,5,6,2,4]=>[3,2,2]=>1001010=>5 [7,5,1,3,4,2,6]=>[1,3,7,5,4,6,2]=>[3,1,2,1]=>1001101=>4 [7,5,1,3,4,6,2]=>[1,3,7,5,4,2,6]=>[3,1,1,2]=>1001110=>3 [7,5,1,3,6,2,4]=>[1,3,7,5,2,6,4]=>[3,1,2,1]=>1001101=>4 [7,5,1,3,6,4,2]=>[1,3,7,5,2,4,6]=>[3,1,3]=>1001100=>3 [7,5,1,4,2,3,6]=>[1,3,7,4,6,5,2]=>[3,2,1,1]=>1001011=>4 [7,5,1,4,2,6,3]=>[1,3,7,4,6,2,5]=>[3,2,2]=>1001010=>5 [7,5,1,4,3,2,6]=>[1,3,7,4,5,6,2]=>[3,3,1]=>1001001=>4 [7,5,1,4,3,6,2]=>[1,3,7,4,5,2,6]=>[3,2,2]=>1001010=>5 [7,5,1,4,6,2,3]=>[1,3,7,4,2,6,5]=>[3,1,2,1]=>1001101=>4 [7,5,1,4,6,3,2]=>[1,3,7,4,2,5,6]=>[3,1,3]=>1001100=>3 [7,5,1,6,2,3,4]=>[1,3,7,2,6,5,4]=>[3,2,1,1]=>1001011=>4 [7,5,1,6,2,4,3]=>[1,3,7,2,6,4,5]=>[3,2,2]=>1001010=>5 [7,5,1,6,3,2,4]=>[1,3,7,2,5,6,4]=>[3,3,1]=>1001001=>4 [7,5,1,6,3,4,2]=>[1,3,7,2,5,4,6]=>[3,2,2]=>1001010=>5 [7,5,1,6,4,2,3]=>[1,3,7,2,4,6,5]=>[3,3,1]=>1001001=>4 [7,5,1,6,4,3,2]=>[1,3,7,2,4,5,6]=>[3,4]=>1001000=>3 [7,5,2,1,3,4,6]=>[1,3,6,7,5,4,2]=>[4,1,1,1]=>1000111=>2 [7,5,2,1,3,6,4]=>[1,3,6,7,5,2,4]=>[4,1,2]=>1000110=>3 [7,5,2,1,4,3,6]=>[1,3,6,7,4,5,2]=>[4,2,1]=>1000101=>4 [7,5,2,1,4,6,3]=>[1,3,6,7,4,2,5]=>[4,1,2]=>1000110=>3 [7,5,2,1,6,3,4]=>[1,3,6,7,2,5,4]=>[4,2,1]=>1000101=>4 [7,5,2,1,6,4,3]=>[1,3,6,7,2,4,5]=>[4,3]=>1000100=>3 [7,5,2,3,1,4,6]=>[1,3,6,5,7,4,2]=>[3,2,1,1]=>1001011=>4 [7,5,2,3,1,6,4]=>[1,3,6,5,7,2,4]=>[3,2,2]=>1001010=>5 [7,5,2,3,4,1,6]=>[1,3,6,5,4,7,2]=>[3,1,2,1]=>1001101=>4 [7,5,2,3,4,6,1]=>[1,3,6,5,4,2,7]=>[3,1,1,2]=>1001110=>3 [7,5,2,3,6,1,4]=>[1,3,6,5,2,7,4]=>[3,1,2,1]=>1001101=>4 [7,5,2,3,6,4,1]=>[1,3,6,5,2,4,7]=>[3,1,3]=>1001100=>3 [7,5,2,4,1,3,6]=>[1,3,6,4,7,5,2]=>[3,2,1,1]=>1001011=>4 [7,5,2,4,1,6,3]=>[1,3,6,4,7,2,5]=>[3,2,2]=>1001010=>5 [7,5,2,4,3,1,6]=>[1,3,6,4,5,7,2]=>[3,3,1]=>1001001=>4 [7,5,2,4,3,6,1]=>[1,3,6,4,5,2,7]=>[3,2,2]=>1001010=>5 [7,5,2,4,6,1,3]=>[1,3,6,4,2,7,5]=>[3,1,2,1]=>1001101=>4 [7,5,2,4,6,3,1]=>[1,3,6,4,2,5,7]=>[3,1,3]=>1001100=>3 [7,5,2,6,1,3,4]=>[1,3,6,2,7,5,4]=>[3,2,1,1]=>1001011=>4 [7,5,2,6,1,4,3]=>[1,3,6,2,7,4,5]=>[3,2,2]=>1001010=>5 [7,5,2,6,3,1,4]=>[1,3,6,2,5,7,4]=>[3,3,1]=>1001001=>4 [7,5,2,6,3,4,1]=>[1,3,6,2,5,4,7]=>[3,2,2]=>1001010=>5 [7,5,2,6,4,1,3]=>[1,3,6,2,4,7,5]=>[3,3,1]=>1001001=>4 [7,5,2,6,4,3,1]=>[1,3,6,2,4,5,7]=>[3,4]=>1001000=>3 [7,5,3,1,2,4,6]=>[1,3,5,7,6,4,2]=>[4,1,1,1]=>1000111=>2 [7,5,3,1,2,6,4]=>[1,3,5,7,6,2,4]=>[4,1,2]=>1000110=>3 [7,5,3,1,4,2,6]=>[1,3,5,7,4,6,2]=>[4,2,1]=>1000101=>4 [7,5,3,1,4,6,2]=>[1,3,5,7,4,2,6]=>[4,1,2]=>1000110=>3 [7,5,3,1,6,2,4]=>[1,3,5,7,2,6,4]=>[4,2,1]=>1000101=>4 [7,5,3,1,6,4,2]=>[1,3,5,7,2,4,6]=>[4,3]=>1000100=>3 [7,5,3,2,1,4,6]=>[1,3,5,6,7,4,2]=>[5,1,1]=>1000011=>2 [7,5,3,2,1,6,4]=>[1,3,5,6,7,2,4]=>[5,2]=>1000010=>3 [7,5,3,2,4,1,6]=>[1,3,5,6,4,7,2]=>[4,2,1]=>1000101=>4 [7,5,3,2,4,6,1]=>[1,3,5,6,4,2,7]=>[4,1,2]=>1000110=>3 [7,5,3,2,6,1,4]=>[1,3,5,6,2,7,4]=>[4,2,1]=>1000101=>4 [7,5,3,2,6,4,1]=>[1,3,5,6,2,4,7]=>[4,3]=>1000100=>3 [7,5,3,4,1,2,6]=>[1,3,5,4,7,6,2]=>[3,2,1,1]=>1001011=>4 [7,5,3,4,1,6,2]=>[1,3,5,4,7,2,6]=>[3,2,2]=>1001010=>5 [7,5,3,4,2,1,6]=>[1,3,5,4,6,7,2]=>[3,3,1]=>1001001=>4 [7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[3,2,2]=>1001010=>5 [7,5,3,4,6,1,2]=>[1,3,5,4,2,7,6]=>[3,1,2,1]=>1001101=>4 [7,5,3,4,6,2,1]=>[1,3,5,4,2,6,7]=>[3,1,3]=>1001100=>3 [7,5,3,6,1,2,4]=>[1,3,5,2,7,6,4]=>[3,2,1,1]=>1001011=>4 [7,5,3,6,1,4,2]=>[1,3,5,2,7,4,6]=>[3,2,2]=>1001010=>5 [7,5,3,6,2,1,4]=>[1,3,5,2,6,7,4]=>[3,3,1]=>1001001=>4 [7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[3,2,2]=>1001010=>5 [7,5,3,6,4,1,2]=>[1,3,5,2,4,7,6]=>[3,3,1]=>1001001=>4 [7,5,3,6,4,2,1]=>[1,3,5,2,4,6,7]=>[3,4]=>1001000=>3 [7,5,4,1,2,3,6]=>[1,3,4,7,6,5,2]=>[4,1,1,1]=>1000111=>2 [7,5,4,1,2,6,3]=>[1,3,4,7,6,2,5]=>[4,1,2]=>1000110=>3 [7,5,4,1,3,2,6]=>[1,3,4,7,5,6,2]=>[4,2,1]=>1000101=>4 [7,5,4,1,3,6,2]=>[1,3,4,7,5,2,6]=>[4,1,2]=>1000110=>3 [7,5,4,1,6,2,3]=>[1,3,4,7,2,6,5]=>[4,2,1]=>1000101=>4 [7,5,4,1,6,3,2]=>[1,3,4,7,2,5,6]=>[4,3]=>1000100=>3 [7,5,4,2,1,3,6]=>[1,3,4,6,7,5,2]=>[5,1,1]=>1000011=>2 [7,5,4,2,1,6,3]=>[1,3,4,6,7,2,5]=>[5,2]=>1000010=>3 [7,5,4,2,3,1,6]=>[1,3,4,6,5,7,2]=>[4,2,1]=>1000101=>4 [7,5,4,2,3,6,1]=>[1,3,4,6,5,2,7]=>[4,1,2]=>1000110=>3 [7,5,4,2,6,1,3]=>[1,3,4,6,2,7,5]=>[4,2,1]=>1000101=>4 [7,5,4,2,6,3,1]=>[1,3,4,6,2,5,7]=>[4,3]=>1000100=>3 [7,5,4,3,1,2,6]=>[1,3,4,5,7,6,2]=>[5,1,1]=>1000011=>2 [7,5,4,3,1,6,2]=>[1,3,4,5,7,2,6]=>[5,2]=>1000010=>3 [7,5,4,3,2,1,6]=>[1,3,4,5,6,7,2]=>[6,1]=>1000001=>2 [7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[5,2]=>1000010=>3 [7,5,4,3,6,1,2]=>[1,3,4,5,2,7,6]=>[4,2,1]=>1000101=>4 [7,5,4,3,6,2,1]=>[1,3,4,5,2,6,7]=>[4,3]=>1000100=>3 [7,5,4,6,1,2,3]=>[1,3,4,2,7,6,5]=>[3,2,1,1]=>1001011=>4 [7,5,4,6,1,3,2]=>[1,3,4,2,7,5,6]=>[3,2,2]=>1001010=>5 [7,5,4,6,2,1,3]=>[1,3,4,2,6,7,5]=>[3,3,1]=>1001001=>4 [7,5,4,6,2,3,1]=>[1,3,4,2,6,5,7]=>[3,2,2]=>1001010=>5 [7,5,4,6,3,1,2]=>[1,3,4,2,5,7,6]=>[3,3,1]=>1001001=>4 [7,5,4,6,3,2,1]=>[1,3,4,2,5,6,7]=>[3,4]=>1001000=>3 [7,5,6,1,2,3,4]=>[1,3,2,7,6,5,4]=>[2,2,1,1,1]=>1010111=>4 [7,5,6,1,2,4,3]=>[1,3,2,7,6,4,5]=>[2,2,1,2]=>1010110=>5 [7,5,6,1,3,2,4]=>[1,3,2,7,5,6,4]=>[2,2,2,1]=>1010101=>6 [7,5,6,1,3,4,2]=>[1,3,2,7,5,4,6]=>[2,2,1,2]=>1010110=>5 [7,5,6,1,4,2,3]=>[1,3,2,7,4,6,5]=>[2,2,2,1]=>1010101=>6 [7,5,6,1,4,3,2]=>[1,3,2,7,4,5,6]=>[2,2,3]=>1010100=>5 [7,5,6,2,1,3,4]=>[1,3,2,6,7,5,4]=>[2,3,1,1]=>1010011=>4 [7,5,6,2,1,4,3]=>[1,3,2,6,7,4,5]=>[2,3,2]=>1010010=>5 [7,5,6,2,3,1,4]=>[1,3,2,6,5,7,4]=>[2,2,2,1]=>1010101=>6 [7,5,6,2,3,4,1]=>[1,3,2,6,5,4,7]=>[2,2,1,2]=>1010110=>5 [7,5,6,2,4,1,3]=>[1,3,2,6,4,7,5]=>[2,2,2,1]=>1010101=>6 [7,5,6,2,4,3,1]=>[1,3,2,6,4,5,7]=>[2,2,3]=>1010100=>5 [7,5,6,3,1,2,4]=>[1,3,2,5,7,6,4]=>[2,3,1,1]=>1010011=>4 [7,5,6,3,1,4,2]=>[1,3,2,5,7,4,6]=>[2,3,2]=>1010010=>5 [7,5,6,3,2,1,4]=>[1,3,2,5,6,7,4]=>[2,4,1]=>1010001=>4 [7,5,6,3,2,4,1]=>[1,3,2,5,6,4,7]=>[2,3,2]=>1010010=>5 [7,5,6,3,4,1,2]=>[1,3,2,5,4,7,6]=>[2,2,2,1]=>1010101=>6 [7,5,6,3,4,2,1]=>[1,3,2,5,4,6,7]=>[2,2,3]=>1010100=>5 [7,5,6,4,1,2,3]=>[1,3,2,4,7,6,5]=>[2,3,1,1]=>1010011=>4 [7,5,6,4,1,3,2]=>[1,3,2,4,7,5,6]=>[2,3,2]=>1010010=>5 [7,5,6,4,2,1,3]=>[1,3,2,4,6,7,5]=>[2,4,1]=>1010001=>4 [7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[2,3,2]=>1010010=>5 [7,5,6,4,3,1,2]=>[1,3,2,4,5,7,6]=>[2,4,1]=>1010001=>4 [7,5,6,4,3,2,1]=>[1,3,2,4,5,6,7]=>[2,5]=>1010000=>3 [7,6,1,2,3,4,5]=>[1,2,7,6,5,4,3]=>[3,1,1,1,1]=>1001111=>2 [7,6,1,2,3,5,4]=>[1,2,7,6,5,3,4]=>[3,1,1,2]=>1001110=>3 [7,6,1,2,4,3,5]=>[1,2,7,6,4,5,3]=>[3,1,2,1]=>1001101=>4 [7,6,1,2,4,5,3]=>[1,2,7,6,4,3,5]=>[3,1,1,2]=>1001110=>3 [7,6,1,2,5,3,4]=>[1,2,7,6,3,5,4]=>[3,1,2,1]=>1001101=>4 [7,6,1,2,5,4,3]=>[1,2,7,6,3,4,5]=>[3,1,3]=>1001100=>3 [7,6,1,3,2,4,5]=>[1,2,7,5,6,4,3]=>[3,2,1,1]=>1001011=>4 [7,6,1,3,2,5,4]=>[1,2,7,5,6,3,4]=>[3,2,2]=>1001010=>5 [7,6,1,3,4,2,5]=>[1,2,7,5,4,6,3]=>[3,1,2,1]=>1001101=>4 [7,6,1,3,4,5,2]=>[1,2,7,5,4,3,6]=>[3,1,1,2]=>1001110=>3 [7,6,1,3,5,2,4]=>[1,2,7,5,3,6,4]=>[3,1,2,1]=>1001101=>4 [7,6,1,3,5,4,2]=>[1,2,7,5,3,4,6]=>[3,1,3]=>1001100=>3 [7,6,1,4,2,3,5]=>[1,2,7,4,6,5,3]=>[3,2,1,1]=>1001011=>4 [7,6,1,4,2,5,3]=>[1,2,7,4,6,3,5]=>[3,2,2]=>1001010=>5 [7,6,1,4,3,2,5]=>[1,2,7,4,5,6,3]=>[3,3,1]=>1001001=>4 [7,6,1,4,3,5,2]=>[1,2,7,4,5,3,6]=>[3,2,2]=>1001010=>5 [7,6,1,4,5,2,3]=>[1,2,7,4,3,6,5]=>[3,1,2,1]=>1001101=>4 [7,6,1,4,5,3,2]=>[1,2,7,4,3,5,6]=>[3,1,3]=>1001100=>3 [7,6,1,5,2,3,4]=>[1,2,7,3,6,5,4]=>[3,2,1,1]=>1001011=>4 [7,6,1,5,2,4,3]=>[1,2,7,3,6,4,5]=>[3,2,2]=>1001010=>5 [7,6,1,5,3,2,4]=>[1,2,7,3,5,6,4]=>[3,3,1]=>1001001=>4 [7,6,1,5,3,4,2]=>[1,2,7,3,5,4,6]=>[3,2,2]=>1001010=>5 [7,6,1,5,4,2,3]=>[1,2,7,3,4,6,5]=>[3,3,1]=>1001001=>4 [7,6,1,5,4,3,2]=>[1,2,7,3,4,5,6]=>[3,4]=>1001000=>3 [7,6,2,1,3,4,5]=>[1,2,6,7,5,4,3]=>[4,1,1,1]=>1000111=>2 [7,6,2,1,3,5,4]=>[1,2,6,7,5,3,4]=>[4,1,2]=>1000110=>3 [7,6,2,1,4,3,5]=>[1,2,6,7,4,5,3]=>[4,2,1]=>1000101=>4 [7,6,2,1,4,5,3]=>[1,2,6,7,4,3,5]=>[4,1,2]=>1000110=>3 [7,6,2,1,5,3,4]=>[1,2,6,7,3,5,4]=>[4,2,1]=>1000101=>4 [7,6,2,1,5,4,3]=>[1,2,6,7,3,4,5]=>[4,3]=>1000100=>3 [7,6,2,3,1,4,5]=>[1,2,6,5,7,4,3]=>[3,2,1,1]=>1001011=>4 [7,6,2,3,1,5,4]=>[1,2,6,5,7,3,4]=>[3,2,2]=>1001010=>5 [7,6,2,3,4,1,5]=>[1,2,6,5,4,7,3]=>[3,1,2,1]=>1001101=>4 [7,6,2,3,4,5,1]=>[1,2,6,5,4,3,7]=>[3,1,1,2]=>1001110=>3 [7,6,2,3,5,1,4]=>[1,2,6,5,3,7,4]=>[3,1,2,1]=>1001101=>4 [7,6,2,3,5,4,1]=>[1,2,6,5,3,4,7]=>[3,1,3]=>1001100=>3 [7,6,2,4,1,3,5]=>[1,2,6,4,7,5,3]=>[3,2,1,1]=>1001011=>4 [7,6,2,4,1,5,3]=>[1,2,6,4,7,3,5]=>[3,2,2]=>1001010=>5 [7,6,2,4,3,1,5]=>[1,2,6,4,5,7,3]=>[3,3,1]=>1001001=>4 [7,6,2,4,3,5,1]=>[1,2,6,4,5,3,7]=>[3,2,2]=>1001010=>5 [7,6,2,4,5,1,3]=>[1,2,6,4,3,7,5]=>[3,1,2,1]=>1001101=>4 [7,6,2,4,5,3,1]=>[1,2,6,4,3,5,7]=>[3,1,3]=>1001100=>3 [7,6,2,5,1,3,4]=>[1,2,6,3,7,5,4]=>[3,2,1,1]=>1001011=>4 [7,6,2,5,1,4,3]=>[1,2,6,3,7,4,5]=>[3,2,2]=>1001010=>5 [7,6,2,5,3,1,4]=>[1,2,6,3,5,7,4]=>[3,3,1]=>1001001=>4 [7,6,2,5,3,4,1]=>[1,2,6,3,5,4,7]=>[3,2,2]=>1001010=>5 [7,6,2,5,4,1,3]=>[1,2,6,3,4,7,5]=>[3,3,1]=>1001001=>4 [7,6,2,5,4,3,1]=>[1,2,6,3,4,5,7]=>[3,4]=>1001000=>3 [7,6,3,1,2,4,5]=>[1,2,5,7,6,4,3]=>[4,1,1,1]=>1000111=>2 [7,6,3,1,2,5,4]=>[1,2,5,7,6,3,4]=>[4,1,2]=>1000110=>3 [7,6,3,1,4,2,5]=>[1,2,5,7,4,6,3]=>[4,2,1]=>1000101=>4 [7,6,3,1,4,5,2]=>[1,2,5,7,4,3,6]=>[4,1,2]=>1000110=>3 [7,6,3,1,5,2,4]=>[1,2,5,7,3,6,4]=>[4,2,1]=>1000101=>4 [7,6,3,1,5,4,2]=>[1,2,5,7,3,4,6]=>[4,3]=>1000100=>3 [7,6,3,2,1,4,5]=>[1,2,5,6,7,4,3]=>[5,1,1]=>1000011=>2 [7,6,3,2,1,5,4]=>[1,2,5,6,7,3,4]=>[5,2]=>1000010=>3 [7,6,3,2,4,1,5]=>[1,2,5,6,4,7,3]=>[4,2,1]=>1000101=>4 [7,6,3,2,4,5,1]=>[1,2,5,6,4,3,7]=>[4,1,2]=>1000110=>3 [7,6,3,2,5,1,4]=>[1,2,5,6,3,7,4]=>[4,2,1]=>1000101=>4 [7,6,3,2,5,4,1]=>[1,2,5,6,3,4,7]=>[4,3]=>1000100=>3 [7,6,3,4,1,2,5]=>[1,2,5,4,7,6,3]=>[3,2,1,1]=>1001011=>4 [7,6,3,4,1,5,2]=>[1,2,5,4,7,3,6]=>[3,2,2]=>1001010=>5 [7,6,3,4,2,1,5]=>[1,2,5,4,6,7,3]=>[3,3,1]=>1001001=>4 [7,6,3,4,2,5,1]=>[1,2,5,4,6,3,7]=>[3,2,2]=>1001010=>5 [7,6,3,4,5,1,2]=>[1,2,5,4,3,7,6]=>[3,1,2,1]=>1001101=>4 [7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[3,1,3]=>1001100=>3 [7,6,3,5,1,2,4]=>[1,2,5,3,7,6,4]=>[3,2,1,1]=>1001011=>4 [7,6,3,5,1,4,2]=>[1,2,5,3,7,4,6]=>[3,2,2]=>1001010=>5 [7,6,3,5,2,1,4]=>[1,2,5,3,6,7,4]=>[3,3,1]=>1001001=>4 [7,6,3,5,2,4,1]=>[1,2,5,3,6,4,7]=>[3,2,2]=>1001010=>5 [7,6,3,5,4,1,2]=>[1,2,5,3,4,7,6]=>[3,3,1]=>1001001=>4 [7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[3,4]=>1001000=>3 [7,6,4,1,2,3,5]=>[1,2,4,7,6,5,3]=>[4,1,1,1]=>1000111=>2 [7,6,4,1,2,5,3]=>[1,2,4,7,6,3,5]=>[4,1,2]=>1000110=>3 [7,6,4,1,3,2,5]=>[1,2,4,7,5,6,3]=>[4,2,1]=>1000101=>4 [7,6,4,1,3,5,2]=>[1,2,4,7,5,3,6]=>[4,1,2]=>1000110=>3 [7,6,4,1,5,2,3]=>[1,2,4,7,3,6,5]=>[4,2,1]=>1000101=>4 [7,6,4,1,5,3,2]=>[1,2,4,7,3,5,6]=>[4,3]=>1000100=>3 [7,6,4,2,1,3,5]=>[1,2,4,6,7,5,3]=>[5,1,1]=>1000011=>2 [7,6,4,2,1,5,3]=>[1,2,4,6,7,3,5]=>[5,2]=>1000010=>3 [7,6,4,2,3,1,5]=>[1,2,4,6,5,7,3]=>[4,2,1]=>1000101=>4 [7,6,4,2,3,5,1]=>[1,2,4,6,5,3,7]=>[4,1,2]=>1000110=>3 [7,6,4,2,5,1,3]=>[1,2,4,6,3,7,5]=>[4,2,1]=>1000101=>4 [7,6,4,2,5,3,1]=>[1,2,4,6,3,5,7]=>[4,3]=>1000100=>3 [7,6,4,3,1,2,5]=>[1,2,4,5,7,6,3]=>[5,1,1]=>1000011=>2 [7,6,4,3,1,5,2]=>[1,2,4,5,7,3,6]=>[5,2]=>1000010=>3 [7,6,4,3,2,1,5]=>[1,2,4,5,6,7,3]=>[6,1]=>1000001=>2 [7,6,4,3,2,5,1]=>[1,2,4,5,6,3,7]=>[5,2]=>1000010=>3 [7,6,4,3,5,1,2]=>[1,2,4,5,3,7,6]=>[4,2,1]=>1000101=>4 [7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[4,3]=>1000100=>3 [7,6,4,5,1,2,3]=>[1,2,4,3,7,6,5]=>[3,2,1,1]=>1001011=>4 [7,6,4,5,1,3,2]=>[1,2,4,3,7,5,6]=>[3,2,2]=>1001010=>5 [7,6,4,5,2,1,3]=>[1,2,4,3,6,7,5]=>[3,3,1]=>1001001=>4 [7,6,4,5,2,3,1]=>[1,2,4,3,6,5,7]=>[3,2,2]=>1001010=>5 [7,6,4,5,3,1,2]=>[1,2,4,3,5,7,6]=>[3,3,1]=>1001001=>4 [7,6,4,5,3,2,1]=>[1,2,4,3,5,6,7]=>[3,4]=>1001000=>3 [7,6,5,1,2,3,4]=>[1,2,3,7,6,5,4]=>[4,1,1,1]=>1000111=>2 [7,6,5,1,2,4,3]=>[1,2,3,7,6,4,5]=>[4,1,2]=>1000110=>3 [7,6,5,1,3,2,4]=>[1,2,3,7,5,6,4]=>[4,2,1]=>1000101=>4 [7,6,5,1,3,4,2]=>[1,2,3,7,5,4,6]=>[4,1,2]=>1000110=>3 [7,6,5,1,4,2,3]=>[1,2,3,7,4,6,5]=>[4,2,1]=>1000101=>4 [7,6,5,1,4,3,2]=>[1,2,3,7,4,5,6]=>[4,3]=>1000100=>3 [7,6,5,2,1,3,4]=>[1,2,3,6,7,5,4]=>[5,1,1]=>1000011=>2 [7,6,5,2,1,4,3]=>[1,2,3,6,7,4,5]=>[5,2]=>1000010=>3 [7,6,5,2,3,1,4]=>[1,2,3,6,5,7,4]=>[4,2,1]=>1000101=>4 [7,6,5,2,3,4,1]=>[1,2,3,6,5,4,7]=>[4,1,2]=>1000110=>3 [7,6,5,2,4,1,3]=>[1,2,3,6,4,7,5]=>[4,2,1]=>1000101=>4 [7,6,5,2,4,3,1]=>[1,2,3,6,4,5,7]=>[4,3]=>1000100=>3 [7,6,5,3,1,2,4]=>[1,2,3,5,7,6,4]=>[5,1,1]=>1000011=>2 [7,6,5,3,1,4,2]=>[1,2,3,5,7,4,6]=>[5,2]=>1000010=>3 [7,6,5,3,2,1,4]=>[1,2,3,5,6,7,4]=>[6,1]=>1000001=>2 [7,6,5,3,2,4,1]=>[1,2,3,5,6,4,7]=>[5,2]=>1000010=>3 [7,6,5,3,4,1,2]=>[1,2,3,5,4,7,6]=>[4,2,1]=>1000101=>4 [7,6,5,3,4,2,1]=>[1,2,3,5,4,6,7]=>[4,3]=>1000100=>3 [7,6,5,4,1,2,3]=>[1,2,3,4,7,6,5]=>[5,1,1]=>1000011=>2 [7,6,5,4,1,3,2]=>[1,2,3,4,7,5,6]=>[5,2]=>1000010=>3 [7,6,5,4,2,1,3]=>[1,2,3,4,6,7,5]=>[6,1]=>1000001=>2 [7,6,5,4,2,3,1]=>[1,2,3,4,6,5,7]=>[5,2]=>1000010=>3 [7,6,5,4,3,1,2]=>[1,2,3,4,5,7,6]=>[6,1]=>1000001=>2 [7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[7]=>1000000=>1 [8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[8]=>10000000=>1 [7,8,6,5,4,3,2,1]=>[2,1,3,4,5,6,7,8]=>[1,7]=>11000000=>1 [8,6,7,5,4,3,2,1]=>[1,3,2,4,5,6,7,8]=>[2,6]=>10100000=>3 [7,6,8,5,4,3,2,1]=>[2,3,1,4,5,6,7,8]=>[2,6]=>10100000=>3 [6,7,8,5,4,3,2,1]=>[3,2,1,4,5,6,7,8]=>[1,1,6]=>11100000=>1 [8,7,5,6,4,3,2,1]=>[1,2,4,3,5,6,7,8]=>[3,5]=>10010000=>3 [7,8,5,6,4,3,2,1]=>[2,1,4,3,5,6,7,8]=>[1,2,5]=>11010000=>3 [8,6,5,7,4,3,2,1]=>[1,3,4,2,5,6,7,8]=>[3,5]=>10010000=>3 [8,5,6,7,4,3,2,1]=>[1,4,3,2,5,6,7,8]=>[2,1,5]=>10110000=>3 [7,6,5,8,4,3,2,1]=>[2,3,4,1,5,6,7,8]=>[3,5]=>10010000=>3 [6,7,5,8,4,3,2,1]=>[3,2,4,1,5,6,7,8]=>[1,2,5]=>11010000=>3 [7,5,6,8,4,3,2,1]=>[2,4,3,1,5,6,7,8]=>[2,1,5]=>10110000=>3 [6,5,7,8,4,3,2,1]=>[3,4,2,1,5,6,7,8]=>[2,1,5]=>10110000=>3 [5,6,7,8,4,3,2,1]=>[4,3,2,1,5,6,7,8]=>[1,1,1,5]=>11110000=>1 [8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[4,4]=>10001000=>3 [7,8,6,4,5,3,2,1]=>[2,1,3,5,4,6,7,8]=>[1,3,4]=>11001000=>3 [8,6,7,4,5,3,2,1]=>[1,3,2,5,4,6,7,8]=>[2,2,4]=>10101000=>5 [7,6,8,4,5,3,2,1]=>[2,3,1,5,4,6,7,8]=>[2,2,4]=>10101000=>5 [6,7,8,4,5,3,2,1]=>[3,2,1,5,4,6,7,8]=>[1,1,2,4]=>11101000=>3 [8,7,5,4,6,3,2,1]=>[1,2,4,5,3,6,7,8]=>[4,4]=>10001000=>3 [7,8,5,4,6,3,2,1]=>[2,1,4,5,3,6,7,8]=>[1,3,4]=>11001000=>3 [8,7,4,5,6,3,2,1]=>[1,2,5,4,3,6,7,8]=>[3,1,4]=>10011000=>3 [7,8,4,5,6,3,2,1]=>[2,1,5,4,3,6,7,8]=>[1,2,1,4]=>11011000=>3 [8,6,5,4,7,3,2,1]=>[1,3,4,5,2,6,7,8]=>[4,4]=>10001000=>3 [8,6,4,5,7,3,2,1]=>[1,3,5,4,2,6,7,8]=>[3,1,4]=>10011000=>3 [8,5,4,6,7,3,2,1]=>[1,4,5,3,2,6,7,8]=>[3,1,4]=>10011000=>3 [8,4,5,6,7,3,2,1]=>[1,5,4,3,2,6,7,8]=>[2,1,1,4]=>10111000=>3 [7,6,5,4,8,3,2,1]=>[2,3,4,5,1,6,7,8]=>[4,4]=>10001000=>3 [6,7,5,4,8,3,2,1]=>[3,2,4,5,1,6,7,8]=>[1,3,4]=>11001000=>3 [7,5,6,4,8,3,2,1]=>[2,4,3,5,1,6,7,8]=>[2,2,4]=>10101000=>5 [6,5,7,4,8,3,2,1]=>[3,4,2,5,1,6,7,8]=>[2,2,4]=>10101000=>5 [5,6,7,4,8,3,2,1]=>[4,3,2,5,1,6,7,8]=>[1,1,2,4]=>11101000=>3 [7,6,4,5,8,3,2,1]=>[2,3,5,4,1,6,7,8]=>[3,1,4]=>10011000=>3 [6,7,4,5,8,3,2,1]=>[3,2,5,4,1,6,7,8]=>[1,2,1,4]=>11011000=>3 [7,5,4,6,8,3,2,1]=>[2,4,5,3,1,6,7,8]=>[3,1,4]=>10011000=>3 [7,4,5,6,8,3,2,1]=>[2,5,4,3,1,6,7,8]=>[2,1,1,4]=>10111000=>3 [6,5,4,7,8,3,2,1]=>[3,4,5,2,1,6,7,8]=>[3,1,4]=>10011000=>3 [5,6,4,7,8,3,2,1]=>[4,3,5,2,1,6,7,8]=>[1,2,1,4]=>11011000=>3 [6,4,5,7,8,3,2,1]=>[3,5,4,2,1,6,7,8]=>[2,1,1,4]=>10111000=>3 [5,4,6,7,8,3,2,1]=>[4,5,3,2,1,6,7,8]=>[2,1,1,4]=>10111000=>3 [4,5,6,7,8,3,2,1]=>[5,4,3,2,1,6,7,8]=>[1,1,1,1,4]=>11111000=>1 [8,7,6,5,3,4,2,1]=>[1,2,3,4,6,5,7,8]=>[5,3]=>10000100=>3 [7,8,6,5,3,4,2,1]=>[2,1,3,4,6,5,7,8]=>[1,4,3]=>11000100=>3 [8,6,7,5,3,4,2,1]=>[1,3,2,4,6,5,7,8]=>[2,3,3]=>10100100=>5 [7,6,8,5,3,4,2,1]=>[2,3,1,4,6,5,7,8]=>[2,3,3]=>10100100=>5 [6,7,8,5,3,4,2,1]=>[3,2,1,4,6,5,7,8]=>[1,1,3,3]=>11100100=>3 [8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[3,2,3]=>10010100=>5 [7,8,5,6,3,4,2,1]=>[2,1,4,3,6,5,7,8]=>[1,2,2,3]=>11010100=>5 [8,5,6,7,3,4,2,1]=>[1,4,3,2,6,5,7,8]=>[2,1,2,3]=>10110100=>5 [7,6,5,8,3,4,2,1]=>[2,3,4,1,6,5,7,8]=>[3,2,3]=>10010100=>5 [6,7,5,8,3,4,2,1]=>[3,2,4,1,6,5,7,8]=>[1,2,2,3]=>11010100=>5 [7,5,6,8,3,4,2,1]=>[2,4,3,1,6,5,7,8]=>[2,1,2,3]=>10110100=>5 [6,5,7,8,3,4,2,1]=>[3,4,2,1,6,5,7,8]=>[2,1,2,3]=>10110100=>5 [5,6,7,8,3,4,2,1]=>[4,3,2,1,6,5,7,8]=>[1,1,1,2,3]=>11110100=>3 [8,7,6,4,3,5,2,1]=>[1,2,3,5,6,4,7,8]=>[5,3]=>10000100=>3 [7,8,6,4,3,5,2,1]=>[2,1,3,5,6,4,7,8]=>[1,4,3]=>11000100=>3 [8,6,7,4,3,5,2,1]=>[1,3,2,5,6,4,7,8]=>[2,3,3]=>10100100=>5 [7,6,8,4,3,5,2,1]=>[2,3,1,5,6,4,7,8]=>[2,3,3]=>10100100=>5 [6,7,8,4,3,5,2,1]=>[3,2,1,5,6,4,7,8]=>[1,1,3,3]=>11100100=>3 [8,7,6,3,4,5,2,1]=>[1,2,3,6,5,4,7,8]=>[4,1,3]=>10001100=>3 [7,8,6,3,4,5,2,1]=>[2,1,3,6,5,4,7,8]=>[1,3,1,3]=>11001100=>3 [8,6,7,3,4,5,2,1]=>[1,3,2,6,5,4,7,8]=>[2,2,1,3]=>10101100=>5 [7,6,8,3,4,5,2,1]=>[2,3,1,6,5,4,7,8]=>[2,2,1,3]=>10101100=>5 [6,7,8,3,4,5,2,1]=>[3,2,1,6,5,4,7,8]=>[1,1,2,1,3]=>11101100=>3 [8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[5,3]=>10000100=>3 [7,8,5,4,3,6,2,1]=>[2,1,4,5,6,3,7,8]=>[1,4,3]=>11000100=>3 [8,7,4,5,3,6,2,1]=>[1,2,5,4,6,3,7,8]=>[3,2,3]=>10010100=>5 [7,8,4,5,3,6,2,1]=>[2,1,5,4,6,3,7,8]=>[1,2,2,3]=>11010100=>5 [8,7,5,3,4,6,2,1]=>[1,2,4,6,5,3,7,8]=>[4,1,3]=>10001100=>3 [7,8,5,3,4,6,2,1]=>[2,1,4,6,5,3,7,8]=>[1,3,1,3]=>11001100=>3 [8,7,4,3,5,6,2,1]=>[1,2,5,6,4,3,7,8]=>[4,1,3]=>10001100=>3 [7,8,4,3,5,6,2,1]=>[2,1,5,6,4,3,7,8]=>[1,3,1,3]=>11001100=>3 [8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[3,1,1,3]=>10011100=>3 [8,6,5,4,3,7,2,1]=>[1,3,4,5,6,2,7,8]=>[5,3]=>10000100=>3 [8,5,6,4,3,7,2,1]=>[1,4,3,5,6,2,7,8]=>[2,3,3]=>10100100=>5 [8,6,4,5,3,7,2,1]=>[1,3,5,4,6,2,7,8]=>[3,2,3]=>10010100=>5 [8,5,4,6,3,7,2,1]=>[1,4,5,3,6,2,7,8]=>[3,2,3]=>10010100=>5 [8,4,5,6,3,7,2,1]=>[1,5,4,3,6,2,7,8]=>[2,1,2,3]=>10110100=>5 [8,6,5,3,4,7,2,1]=>[1,3,4,6,5,2,7,8]=>[4,1,3]=>10001100=>3 [8,5,6,3,4,7,2,1]=>[1,4,3,6,5,2,7,8]=>[2,2,1,3]=>10101100=>5 [8,6,4,3,5,7,2,1]=>[1,3,5,6,4,2,7,8]=>[4,1,3]=>10001100=>3 [8,6,3,4,5,7,2,1]=>[1,3,6,5,4,2,7,8]=>[3,1,1,3]=>10011100=>3 [8,5,4,3,6,7,2,1]=>[1,4,5,6,3,2,7,8]=>[4,1,3]=>10001100=>3 [8,4,5,3,6,7,2,1]=>[1,5,4,6,3,2,7,8]=>[2,2,1,3]=>10101100=>5 [8,5,3,4,6,7,2,1]=>[1,4,6,5,3,2,7,8]=>[3,1,1,3]=>10011100=>3 [8,4,3,5,6,7,2,1]=>[1,5,6,4,3,2,7,8]=>[3,1,1,3]=>10011100=>3 [8,3,4,5,6,7,2,1]=>[1,6,5,4,3,2,7,8]=>[2,1,1,1,3]=>10111100=>3 [7,6,5,4,3,8,2,1]=>[2,3,4,5,6,1,7,8]=>[5,3]=>10000100=>3 [6,7,5,4,3,8,2,1]=>[3,2,4,5,6,1,7,8]=>[1,4,3]=>11000100=>3 [7,5,6,4,3,8,2,1]=>[2,4,3,5,6,1,7,8]=>[2,3,3]=>10100100=>5 [6,5,7,4,3,8,2,1]=>[3,4,2,5,6,1,7,8]=>[2,3,3]=>10100100=>5 [5,6,7,4,3,8,2,1]=>[4,3,2,5,6,1,7,8]=>[1,1,3,3]=>11100100=>3 [7,6,4,5,3,8,2,1]=>[2,3,5,4,6,1,7,8]=>[3,2,3]=>10010100=>5 [6,7,4,5,3,8,2,1]=>[3,2,5,4,6,1,7,8]=>[1,2,2,3]=>11010100=>5 [7,4,5,6,3,8,2,1]=>[2,5,4,3,6,1,7,8]=>[2,1,2,3]=>10110100=>5 [6,5,4,7,3,8,2,1]=>[3,4,5,2,6,1,7,8]=>[3,2,3]=>10010100=>5 [5,6,4,7,3,8,2,1]=>[4,3,5,2,6,1,7,8]=>[1,2,2,3]=>11010100=>5 [6,4,5,7,3,8,2,1]=>[3,5,4,2,6,1,7,8]=>[2,1,2,3]=>10110100=>5 [5,4,6,7,3,8,2,1]=>[4,5,3,2,6,1,7,8]=>[2,1,2,3]=>10110100=>5 [4,5,6,7,3,8,2,1]=>[5,4,3,2,6,1,7,8]=>[1,1,1,2,3]=>11110100=>3 [7,6,5,3,4,8,2,1]=>[2,3,4,6,5,1,7,8]=>[4,1,3]=>10001100=>3 [7,5,6,3,4,8,2,1]=>[2,4,3,6,5,1,7,8]=>[2,2,1,3]=>10101100=>5 [6,5,7,3,4,8,2,1]=>[3,4,2,6,5,1,7,8]=>[2,2,1,3]=>10101100=>5 [5,6,7,3,4,8,2,1]=>[4,3,2,6,5,1,7,8]=>[1,1,2,1,3]=>11101100=>3 [7,6,4,3,5,8,2,1]=>[2,3,5,6,4,1,7,8]=>[4,1,3]=>10001100=>3 [7,6,3,4,5,8,2,1]=>[2,3,6,5,4,1,7,8]=>[3,1,1,3]=>10011100=>3 [7,5,4,3,6,8,2,1]=>[2,4,5,6,3,1,7,8]=>[4,1,3]=>10001100=>3 [7,4,5,3,6,8,2,1]=>[2,5,4,6,3,1,7,8]=>[2,2,1,3]=>10101100=>5 [7,5,3,4,6,8,2,1]=>[2,4,6,5,3,1,7,8]=>[3,1,1,3]=>10011100=>3 [6,5,4,3,7,8,2,1]=>[3,4,5,6,2,1,7,8]=>[4,1,3]=>10001100=>3 [5,6,4,3,7,8,2,1]=>[4,3,5,6,2,1,7,8]=>[1,3,1,3]=>11001100=>3 [6,4,5,3,7,8,2,1]=>[3,5,4,6,2,1,7,8]=>[2,2,1,3]=>10101100=>5 [5,4,6,3,7,8,2,1]=>[4,5,3,6,2,1,7,8]=>[2,2,1,3]=>10101100=>5 [4,5,6,3,7,8,2,1]=>[5,4,3,6,2,1,7,8]=>[1,1,2,1,3]=>11101100=>3 [5,6,3,4,7,8,2,1]=>[4,3,6,5,2,1,7,8]=>[1,2,1,1,3]=>11011100=>3 [6,4,3,5,7,8,2,1]=>[3,5,6,4,2,1,7,8]=>[3,1,1,3]=>10011100=>3 [6,3,4,5,7,8,2,1]=>[3,6,5,4,2,1,7,8]=>[2,1,1,1,3]=>10111100=>3 [5,4,3,6,7,8,2,1]=>[4,5,6,3,2,1,7,8]=>[3,1,1,3]=>10011100=>3 [4,5,3,6,7,8,2,1]=>[5,4,6,3,2,1,7,8]=>[1,2,1,1,3]=>11011100=>3 [4,3,5,6,7,8,2,1]=>[5,6,4,3,2,1,7,8]=>[2,1,1,1,3]=>10111100=>3 [3,4,5,6,7,8,2,1]=>[6,5,4,3,2,1,7,8]=>[1,1,1,1,1,3]=>11111100=>1 [8,7,6,5,4,2,3,1]=>[1,2,3,4,5,7,6,8]=>[6,2]=>10000010=>3 [7,8,6,5,4,2,3,1]=>[2,1,3,4,5,7,6,8]=>[1,5,2]=>11000010=>3 [8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[2,4,2]=>10100010=>5 [7,6,8,5,4,2,3,1]=>[2,3,1,4,5,7,6,8]=>[2,4,2]=>10100010=>5 [6,7,8,5,4,2,3,1]=>[3,2,1,4,5,7,6,8]=>[1,1,4,2]=>11100010=>3 [8,7,5,6,4,2,3,1]=>[1,2,4,3,5,7,6,8]=>[3,3,2]=>10010010=>5 [8,6,5,7,4,2,3,1]=>[1,3,4,2,5,7,6,8]=>[3,3,2]=>10010010=>5 [8,5,6,7,4,2,3,1]=>[1,4,3,2,5,7,6,8]=>[2,1,3,2]=>10110010=>5 [7,6,5,8,4,2,3,1]=>[2,3,4,1,5,7,6,8]=>[3,3,2]=>10010010=>5 [6,7,5,8,4,2,3,1]=>[3,2,4,1,5,7,6,8]=>[1,2,3,2]=>11010010=>5 [7,5,6,8,4,2,3,1]=>[2,4,3,1,5,7,6,8]=>[2,1,3,2]=>10110010=>5 [6,5,7,8,4,2,3,1]=>[3,4,2,1,5,7,6,8]=>[2,1,3,2]=>10110010=>5 [5,6,7,8,4,2,3,1]=>[4,3,2,1,5,7,6,8]=>[1,1,1,3,2]=>11110010=>3 [8,7,6,4,5,2,3,1]=>[1,2,3,5,4,7,6,8]=>[4,2,2]=>10001010=>5 [7,8,6,4,5,2,3,1]=>[2,1,3,5,4,7,6,8]=>[1,3,2,2]=>11001010=>5 [8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[2,2,2,2]=>10101010=>7 [7,6,8,4,5,2,3,1]=>[2,3,1,5,4,7,6,8]=>[2,2,2,2]=>10101010=>7 [6,7,8,4,5,2,3,1]=>[3,2,1,5,4,7,6,8]=>[1,1,2,2,2]=>11101010=>5 [8,7,5,4,6,2,3,1]=>[1,2,4,5,3,7,6,8]=>[4,2,2]=>10001010=>5 [8,7,4,5,6,2,3,1]=>[1,2,5,4,3,7,6,8]=>[3,1,2,2]=>10011010=>5 [7,8,4,5,6,2,3,1]=>[2,1,5,4,3,7,6,8]=>[1,2,1,2,2]=>11011010=>5 [8,6,5,4,7,2,3,1]=>[1,3,4,5,2,7,6,8]=>[4,2,2]=>10001010=>5 [8,5,6,4,7,2,3,1]=>[1,4,3,5,2,7,6,8]=>[2,2,2,2]=>10101010=>7 [8,6,4,5,7,2,3,1]=>[1,3,5,4,2,7,6,8]=>[3,1,2,2]=>10011010=>5 [8,5,4,6,7,2,3,1]=>[1,4,5,3,2,7,6,8]=>[3,1,2,2]=>10011010=>5 [8,4,5,6,7,2,3,1]=>[1,5,4,3,2,7,6,8]=>[2,1,1,2,2]=>10111010=>5 [7,6,5,4,8,2,3,1]=>[2,3,4,5,1,7,6,8]=>[4,2,2]=>10001010=>5 [6,7,5,4,8,2,3,1]=>[3,2,4,5,1,7,6,8]=>[1,3,2,2]=>11001010=>5 [7,5,6,4,8,2,3,1]=>[2,4,3,5,1,7,6,8]=>[2,2,2,2]=>10101010=>7 [6,5,7,4,8,2,3,1]=>[3,4,2,5,1,7,6,8]=>[2,2,2,2]=>10101010=>7 [5,6,7,4,8,2,3,1]=>[4,3,2,5,1,7,6,8]=>[1,1,2,2,2]=>11101010=>5 [7,6,4,5,8,2,3,1]=>[2,3,5,4,1,7,6,8]=>[3,1,2,2]=>10011010=>5 [6,7,4,5,8,2,3,1]=>[3,2,5,4,1,7,6,8]=>[1,2,1,2,2]=>11011010=>5 [7,5,4,6,8,2,3,1]=>[2,4,5,3,1,7,6,8]=>[3,1,2,2]=>10011010=>5 [7,4,5,6,8,2,3,1]=>[2,5,4,3,1,7,6,8]=>[2,1,1,2,2]=>10111010=>5 [6,5,4,7,8,2,3,1]=>[3,4,5,2,1,7,6,8]=>[3,1,2,2]=>10011010=>5 [5,6,4,7,8,2,3,1]=>[4,3,5,2,1,7,6,8]=>[1,2,1,2,2]=>11011010=>5 [6,4,5,7,8,2,3,1]=>[3,5,4,2,1,7,6,8]=>[2,1,1,2,2]=>10111010=>5 [5,4,6,7,8,2,3,1]=>[4,5,3,2,1,7,6,8]=>[2,1,1,2,2]=>10111010=>5 [4,5,6,7,8,2,3,1]=>[5,4,3,2,1,7,6,8]=>[1,1,1,1,2,2]=>11111010=>3 [8,7,6,5,3,2,4,1]=>[1,2,3,4,6,7,5,8]=>[6,2]=>10000010=>3 [7,8,6,5,3,2,4,1]=>[2,1,3,4,6,7,5,8]=>[1,5,2]=>11000010=>3 [7,6,8,5,3,2,4,1]=>[2,3,1,4,6,7,5,8]=>[2,4,2]=>10100010=>5 [6,7,8,5,3,2,4,1]=>[3,2,1,4,6,7,5,8]=>[1,1,4,2]=>11100010=>3 [8,7,5,6,3,2,4,1]=>[1,2,4,3,6,7,5,8]=>[3,3,2]=>10010010=>5 [8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[3,3,2]=>10010010=>5 [8,5,6,7,3,2,4,1]=>[1,4,3,2,6,7,5,8]=>[2,1,3,2]=>10110010=>5 [7,6,5,8,3,2,4,1]=>[2,3,4,1,6,7,5,8]=>[3,3,2]=>10010010=>5 [6,7,5,8,3,2,4,1]=>[3,2,4,1,6,7,5,8]=>[1,2,3,2]=>11010010=>5 [5,6,7,8,3,2,4,1]=>[4,3,2,1,6,7,5,8]=>[1,1,1,3,2]=>11110010=>3 [8,7,6,5,2,3,4,1]=>[1,2,3,4,7,6,5,8]=>[5,1,2]=>10000110=>3 [8,6,7,5,2,3,4,1]=>[1,3,2,4,7,6,5,8]=>[2,3,1,2]=>10100110=>5 [6,7,8,5,2,3,4,1]=>[3,2,1,4,7,6,5,8]=>[1,1,3,1,2]=>11100110=>3 [8,7,5,6,2,3,4,1]=>[1,2,4,3,7,6,5,8]=>[3,2,1,2]=>10010110=>5 [8,6,5,7,2,3,4,1]=>[1,3,4,2,7,6,5,8]=>[3,2,1,2]=>10010110=>5 [8,5,6,7,2,3,4,1]=>[1,4,3,2,7,6,5,8]=>[2,1,2,1,2]=>10110110=>5 [7,6,5,8,2,3,4,1]=>[2,3,4,1,7,6,5,8]=>[3,2,1,2]=>10010110=>5 [6,7,5,8,2,3,4,1]=>[3,2,4,1,7,6,5,8]=>[1,2,2,1,2]=>11010110=>5 [5,6,7,8,2,3,4,1]=>[4,3,2,1,7,6,5,8]=>[1,1,1,2,1,2]=>11110110=>3 [8,7,6,4,3,2,5,1]=>[1,2,3,5,6,7,4,8]=>[6,2]=>10000010=>3 [8,6,7,4,3,2,5,1]=>[1,3,2,5,6,7,4,8]=>[2,4,2]=>10100010=>5 [7,6,8,4,3,2,5,1]=>[2,3,1,5,6,7,4,8]=>[2,4,2]=>10100010=>5 [6,7,8,4,3,2,5,1]=>[3,2,1,5,6,7,4,8]=>[1,1,4,2]=>11100010=>3 [8,7,6,3,4,2,5,1]=>[1,2,3,6,5,7,4,8]=>[4,2,2]=>10001010=>5 [7,8,6,3,4,2,5,1]=>[2,1,3,6,5,7,4,8]=>[1,3,2,2]=>11001010=>5 [8,6,7,3,4,2,5,1]=>[1,3,2,6,5,7,4,8]=>[2,2,2,2]=>10101010=>7 [7,6,8,3,4,2,5,1]=>[2,3,1,6,5,7,4,8]=>[2,2,2,2]=>10101010=>7 [6,7,8,3,4,2,5,1]=>[3,2,1,6,5,7,4,8]=>[1,1,2,2,2]=>11101010=>5 [8,7,6,4,2,3,5,1]=>[1,2,3,5,7,6,4,8]=>[5,1,2]=>10000110=>3 [8,6,7,4,2,3,5,1]=>[1,3,2,5,7,6,4,8]=>[2,3,1,2]=>10100110=>5 [6,7,8,4,2,3,5,1]=>[3,2,1,5,7,6,4,8]=>[1,1,3,1,2]=>11100110=>3 [8,7,6,3,2,4,5,1]=>[1,2,3,6,7,5,4,8]=>[5,1,2]=>10000110=>3 [7,8,6,3,2,4,5,1]=>[2,1,3,6,7,5,4,8]=>[1,4,1,2]=>11000110=>3 [8,6,7,3,2,4,5,1]=>[1,3,2,6,7,5,4,8]=>[2,3,1,2]=>10100110=>5 [7,6,8,3,2,4,5,1]=>[2,3,1,6,7,5,4,8]=>[2,3,1,2]=>10100110=>5 [6,7,8,3,2,4,5,1]=>[3,2,1,6,7,5,4,8]=>[1,1,3,1,2]=>11100110=>3 [8,7,6,2,3,4,5,1]=>[1,2,3,7,6,5,4,8]=>[4,1,1,2]=>10001110=>3 [7,8,6,2,3,4,5,1]=>[2,1,3,7,6,5,4,8]=>[1,3,1,1,2]=>11001110=>3 [8,6,7,2,3,4,5,1]=>[1,3,2,7,6,5,4,8]=>[2,2,1,1,2]=>10101110=>5 [7,6,8,2,3,4,5,1]=>[2,3,1,7,6,5,4,8]=>[2,2,1,1,2]=>10101110=>5 [6,7,8,2,3,4,5,1]=>[3,2,1,7,6,5,4,8]=>[1,1,2,1,1,2]=>11101110=>3 [8,7,5,4,3,2,6,1]=>[1,2,4,5,6,7,3,8]=>[6,2]=>10000010=>3 [7,8,5,4,3,2,6,1]=>[2,1,4,5,6,7,3,8]=>[1,5,2]=>11000010=>3 [8,7,4,5,3,2,6,1]=>[1,2,5,4,6,7,3,8]=>[3,3,2]=>10010010=>5 [7,8,4,5,3,2,6,1]=>[2,1,5,4,6,7,3,8]=>[1,2,3,2]=>11010010=>5 [8,7,5,3,4,2,6,1]=>[1,2,4,6,5,7,3,8]=>[4,2,2]=>10001010=>5 [8,7,4,3,5,2,6,1]=>[1,2,5,6,4,7,3,8]=>[4,2,2]=>10001010=>5 [8,7,5,4,2,3,6,1]=>[1,2,4,5,7,6,3,8]=>[5,1,2]=>10000110=>3 [7,8,5,4,2,3,6,1]=>[2,1,4,5,7,6,3,8]=>[1,4,1,2]=>11000110=>3 [8,7,4,5,2,3,6,1]=>[1,2,5,4,7,6,3,8]=>[3,2,1,2]=>10010110=>5 [7,8,4,5,2,3,6,1]=>[2,1,5,4,7,6,3,8]=>[1,2,2,1,2]=>11010110=>5 [8,7,5,3,2,4,6,1]=>[1,2,4,6,7,5,3,8]=>[5,1,2]=>10000110=>3 [7,8,5,3,2,4,6,1]=>[2,1,4,6,7,5,3,8]=>[1,4,1,2]=>11000110=>3 [8,7,5,2,3,4,6,1]=>[1,2,4,7,6,5,3,8]=>[4,1,1,2]=>10001110=>3 [7,8,5,2,3,4,6,1]=>[2,1,4,7,6,5,3,8]=>[1,3,1,1,2]=>11001110=>3 [8,7,4,3,2,5,6,1]=>[1,2,5,6,7,4,3,8]=>[5,1,2]=>10000110=>3 [7,8,4,3,2,5,6,1]=>[2,1,5,6,7,4,3,8]=>[1,4,1,2]=>11000110=>3 [8,7,4,2,3,5,6,1]=>[1,2,5,7,6,4,3,8]=>[4,1,1,2]=>10001110=>3 [8,7,3,2,4,5,6,1]=>[1,2,6,7,5,4,3,8]=>[4,1,1,2]=>10001110=>3 [7,8,3,2,4,5,6,1]=>[2,1,6,7,5,4,3,8]=>[1,3,1,1,2]=>11001110=>3 [8,7,2,3,4,5,6,1]=>[1,2,7,6,5,4,3,8]=>[3,1,1,1,2]=>10011110=>3 [7,8,2,3,4,5,6,1]=>[2,1,7,6,5,4,3,8]=>[1,2,1,1,1,2]=>11011110=>3 [8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[6,2]=>10000010=>3 [8,6,4,5,3,2,7,1]=>[1,3,5,4,6,7,2,8]=>[3,3,2]=>10010010=>5 [8,5,4,6,3,2,7,1]=>[1,4,5,3,6,7,2,8]=>[3,3,2]=>10010010=>5 [8,4,5,6,3,2,7,1]=>[1,5,4,3,6,7,2,8]=>[2,1,3,2]=>10110010=>5 [8,6,5,3,4,2,7,1]=>[1,3,4,6,5,7,2,8]=>[4,2,2]=>10001010=>5 [8,5,6,3,4,2,7,1]=>[1,4,3,6,5,7,2,8]=>[2,2,2,2]=>10101010=>7 [8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[4,2,2]=>10001010=>5 [8,6,3,4,5,2,7,1]=>[1,3,6,5,4,7,2,8]=>[3,1,2,2]=>10011010=>5 [8,5,4,3,6,2,7,1]=>[1,4,5,6,3,7,2,8]=>[4,2,2]=>10001010=>5 [8,4,5,3,6,2,7,1]=>[1,5,4,6,3,7,2,8]=>[2,2,2,2]=>10101010=>7 [8,5,3,4,6,2,7,1]=>[1,4,6,5,3,7,2,8]=>[3,1,2,2]=>10011010=>5 [8,4,3,5,6,2,7,1]=>[1,5,6,4,3,7,2,8]=>[3,1,2,2]=>10011010=>5 [8,3,4,5,6,2,7,1]=>[1,6,5,4,3,7,2,8]=>[2,1,1,2,2]=>10111010=>5 [8,6,5,4,2,3,7,1]=>[1,3,4,5,7,6,2,8]=>[5,1,2]=>10000110=>3 [8,5,6,4,2,3,7,1]=>[1,4,3,5,7,6,2,8]=>[2,3,1,2]=>10100110=>5 [8,6,4,5,2,3,7,1]=>[1,3,5,4,7,6,2,8]=>[3,2,1,2]=>10010110=>5 [8,5,4,6,2,3,7,1]=>[1,4,5,3,7,6,2,8]=>[3,2,1,2]=>10010110=>5 [8,6,5,3,2,4,7,1]=>[1,3,4,6,7,5,2,8]=>[5,1,2]=>10000110=>3 [8,5,6,2,3,4,7,1]=>[1,4,3,7,6,5,2,8]=>[2,2,1,1,2]=>10101110=>5 [8,6,4,3,2,5,7,1]=>[1,3,5,6,7,4,2,8]=>[5,1,2]=>10000110=>3 [8,6,3,4,2,5,7,1]=>[1,3,6,5,7,4,2,8]=>[3,2,1,2]=>10010110=>5 [8,6,4,2,3,5,7,1]=>[1,3,5,7,6,4,2,8]=>[4,1,1,2]=>10001110=>3 [8,6,2,3,4,5,7,1]=>[1,3,7,6,5,4,2,8]=>[3,1,1,1,2]=>10011110=>3 [8,5,4,3,2,6,7,1]=>[1,4,5,6,7,3,2,8]=>[5,1,2]=>10000110=>3 [8,4,5,3,2,6,7,1]=>[1,5,4,6,7,3,2,8]=>[2,3,1,2]=>10100110=>5 [8,5,3,4,2,6,7,1]=>[1,4,6,5,7,3,2,8]=>[3,2,1,2]=>10010110=>5 [8,4,3,5,2,6,7,1]=>[1,5,6,4,7,3,2,8]=>[3,2,1,2]=>10010110=>5 [8,5,4,2,3,6,7,1]=>[1,4,5,7,6,3,2,8]=>[4,1,1,2]=>10001110=>3 [8,4,5,2,3,6,7,1]=>[1,5,4,7,6,3,2,8]=>[2,2,1,1,2]=>10101110=>5 [8,5,3,2,4,6,7,1]=>[1,4,6,7,5,3,2,8]=>[4,1,1,2]=>10001110=>3 [8,5,2,3,4,6,7,1]=>[1,4,7,6,5,3,2,8]=>[3,1,1,1,2]=>10011110=>3 [8,4,3,2,5,6,7,1]=>[1,5,6,7,4,3,2,8]=>[4,1,1,2]=>10001110=>3 [8,3,4,2,5,6,7,1]=>[1,6,5,7,4,3,2,8]=>[2,2,1,1,2]=>10101110=>5 [8,4,2,3,5,6,7,1]=>[1,5,7,6,4,3,2,8]=>[3,1,1,1,2]=>10011110=>3 [8,3,2,4,5,6,7,1]=>[1,6,7,5,4,3,2,8]=>[3,1,1,1,2]=>10011110=>3 [8,2,3,4,5,6,7,1]=>[1,7,6,5,4,3,2,8]=>[2,1,1,1,1,2]=>10111110=>3 [7,6,5,4,3,2,8,1]=>[2,3,4,5,6,7,1,8]=>[6,2]=>10000010=>3 [6,7,5,4,3,2,8,1]=>[3,2,4,5,6,7,1,8]=>[1,5,2]=>11000010=>3 [7,5,6,4,3,2,8,1]=>[2,4,3,5,6,7,1,8]=>[2,4,2]=>10100010=>5 [6,5,7,4,3,2,8,1]=>[3,4,2,5,6,7,1,8]=>[2,4,2]=>10100010=>5 [5,6,7,4,3,2,8,1]=>[4,3,2,5,6,7,1,8]=>[1,1,4,2]=>11100010=>3 [7,6,4,5,3,2,8,1]=>[2,3,5,4,6,7,1,8]=>[3,3,2]=>10010010=>5 [6,7,4,5,3,2,8,1]=>[3,2,5,4,6,7,1,8]=>[1,2,3,2]=>11010010=>5 [7,5,4,6,3,2,8,1]=>[2,4,5,3,6,7,1,8]=>[3,3,2]=>10010010=>5 [7,4,5,6,3,2,8,1]=>[2,5,4,3,6,7,1,8]=>[2,1,3,2]=>10110010=>5 [6,5,4,7,3,2,8,1]=>[3,4,5,2,6,7,1,8]=>[3,3,2]=>10010010=>5 [6,4,5,7,3,2,8,1]=>[3,5,4,2,6,7,1,8]=>[2,1,3,2]=>10110010=>5 [5,4,6,7,3,2,8,1]=>[4,5,3,2,6,7,1,8]=>[2,1,3,2]=>10110010=>5 [4,5,6,7,3,2,8,1]=>[5,4,3,2,6,7,1,8]=>[1,1,1,3,2]=>11110010=>3 [7,6,5,3,4,2,8,1]=>[2,3,4,6,5,7,1,8]=>[4,2,2]=>10001010=>5 [6,7,5,3,4,2,8,1]=>[3,2,4,6,5,7,1,8]=>[1,3,2,2]=>11001010=>5 [7,5,6,3,4,2,8,1]=>[2,4,3,6,5,7,1,8]=>[2,2,2,2]=>10101010=>7 [6,5,7,3,4,2,8,1]=>[3,4,2,6,5,7,1,8]=>[2,2,2,2]=>10101010=>7 [5,6,7,3,4,2,8,1]=>[4,3,2,6,5,7,1,8]=>[1,1,2,2,2]=>11101010=>5 [7,6,4,3,5,2,8,1]=>[2,3,5,6,4,7,1,8]=>[4,2,2]=>10001010=>5 [6,7,3,4,5,2,8,1]=>[3,2,6,5,4,7,1,8]=>[1,2,1,2,2]=>11011010=>5 [7,5,4,3,6,2,8,1]=>[2,4,5,6,3,7,1,8]=>[4,2,2]=>10001010=>5 [7,4,5,3,6,2,8,1]=>[2,5,4,6,3,7,1,8]=>[2,2,2,2]=>10101010=>7 [7,5,3,4,6,2,8,1]=>[2,4,6,5,3,7,1,8]=>[3,1,2,2]=>10011010=>5 [7,3,4,5,6,2,8,1]=>[2,6,5,4,3,7,1,8]=>[2,1,1,2,2]=>10111010=>5 [6,5,4,3,7,2,8,1]=>[3,4,5,6,2,7,1,8]=>[4,2,2]=>10001010=>5 [5,6,4,3,7,2,8,1]=>[4,3,5,6,2,7,1,8]=>[1,3,2,2]=>11001010=>5 [6,4,5,3,7,2,8,1]=>[3,5,4,6,2,7,1,8]=>[2,2,2,2]=>10101010=>7 [5,4,6,3,7,2,8,1]=>[4,5,3,6,2,7,1,8]=>[2,2,2,2]=>10101010=>7 [4,5,6,3,7,2,8,1]=>[5,4,3,6,2,7,1,8]=>[1,1,2,2,2]=>11101010=>5 [6,5,3,4,7,2,8,1]=>[3,4,6,5,2,7,1,8]=>[3,1,2,2]=>10011010=>5 [5,6,3,4,7,2,8,1]=>[4,3,6,5,2,7,1,8]=>[1,2,1,2,2]=>11011010=>5 [6,4,3,5,7,2,8,1]=>[3,5,6,4,2,7,1,8]=>[3,1,2,2]=>10011010=>5 [6,3,4,5,7,2,8,1]=>[3,6,5,4,2,7,1,8]=>[2,1,1,2,2]=>10111010=>5 [4,5,3,6,7,2,8,1]=>[5,4,6,3,2,7,1,8]=>[1,2,1,2,2]=>11011010=>5 [3,4,5,6,7,2,8,1]=>[6,5,4,3,2,7,1,8]=>[1,1,1,1,2,2]=>11111010=>3 [7,6,5,4,2,3,8,1]=>[2,3,4,5,7,6,1,8]=>[5,1,2]=>10000110=>3 [6,7,5,4,2,3,8,1]=>[3,2,4,5,7,6,1,8]=>[1,4,1,2]=>11000110=>3 [7,5,6,4,2,3,8,1]=>[2,4,3,5,7,6,1,8]=>[2,3,1,2]=>10100110=>5 [6,5,7,4,2,3,8,1]=>[3,4,2,5,7,6,1,8]=>[2,3,1,2]=>10100110=>5 [5,6,7,4,2,3,8,1]=>[4,3,2,5,7,6,1,8]=>[1,1,3,1,2]=>11100110=>3 [7,6,4,5,2,3,8,1]=>[2,3,5,4,7,6,1,8]=>[3,2,1,2]=>10010110=>5 [6,7,4,5,2,3,8,1]=>[3,2,5,4,7,6,1,8]=>[1,2,2,1,2]=>11010110=>5 [7,4,5,6,2,3,8,1]=>[2,5,4,3,7,6,1,8]=>[2,1,2,1,2]=>10110110=>5 [6,5,4,7,2,3,8,1]=>[3,4,5,2,7,6,1,8]=>[3,2,1,2]=>10010110=>5 [5,6,4,7,2,3,8,1]=>[4,3,5,2,7,6,1,8]=>[1,2,2,1,2]=>11010110=>5 [6,4,5,7,2,3,8,1]=>[3,5,4,2,7,6,1,8]=>[2,1,2,1,2]=>10110110=>5 [5,4,6,7,2,3,8,1]=>[4,5,3,2,7,6,1,8]=>[2,1,2,1,2]=>10110110=>5 [4,5,6,7,2,3,8,1]=>[5,4,3,2,7,6,1,8]=>[1,1,1,2,1,2]=>11110110=>3 [7,6,5,3,2,4,8,1]=>[2,3,4,6,7,5,1,8]=>[5,1,2]=>10000110=>3 [6,7,5,3,2,4,8,1]=>[3,2,4,6,7,5,1,8]=>[1,4,1,2]=>11000110=>3 [6,5,7,3,2,4,8,1]=>[3,4,2,6,7,5,1,8]=>[2,3,1,2]=>10100110=>5 [5,6,7,3,2,4,8,1]=>[4,3,2,6,7,5,1,8]=>[1,1,3,1,2]=>11100110=>3 [7,6,5,2,3,4,8,1]=>[2,3,4,7,6,5,1,8]=>[4,1,1,2]=>10001110=>3 [6,7,5,2,3,4,8,1]=>[3,2,4,7,6,5,1,8]=>[1,3,1,1,2]=>11001110=>3 [7,5,6,2,3,4,8,1]=>[2,4,3,7,6,5,1,8]=>[2,2,1,1,2]=>10101110=>5 [6,5,7,2,3,4,8,1]=>[3,4,2,7,6,5,1,8]=>[2,2,1,1,2]=>10101110=>5 [5,6,7,2,3,4,8,1]=>[4,3,2,7,6,5,1,8]=>[1,1,2,1,1,2]=>11101110=>3 [7,6,4,3,2,5,8,1]=>[2,3,5,6,7,4,1,8]=>[5,1,2]=>10000110=>3 [6,7,4,3,2,5,8,1]=>[3,2,5,6,7,4,1,8]=>[1,4,1,2]=>11000110=>3 [7,6,3,4,2,5,8,1]=>[2,3,6,5,7,4,1,8]=>[3,2,1,2]=>10010110=>5 [6,7,3,4,2,5,8,1]=>[3,2,6,5,7,4,1,8]=>[1,2,2,1,2]=>11010110=>5 [7,6,4,2,3,5,8,1]=>[2,3,5,7,6,4,1,8]=>[4,1,1,2]=>10001110=>3 [6,7,4,2,3,5,8,1]=>[3,2,5,7,6,4,1,8]=>[1,3,1,1,2]=>11001110=>3 [7,6,3,2,4,5,8,1]=>[2,3,6,7,5,4,1,8]=>[4,1,1,2]=>10001110=>3 [6,7,3,2,4,5,8,1]=>[3,2,6,7,5,4,1,8]=>[1,3,1,1,2]=>11001110=>3 [7,6,2,3,4,5,8,1]=>[2,3,7,6,5,4,1,8]=>[3,1,1,1,2]=>10011110=>3 [6,7,2,3,4,5,8,1]=>[3,2,7,6,5,4,1,8]=>[1,2,1,1,1,2]=>11011110=>3 [7,5,4,3,2,6,8,1]=>[2,4,5,6,7,3,1,8]=>[5,1,2]=>10000110=>3 [7,4,5,3,2,6,8,1]=>[2,5,4,6,7,3,1,8]=>[2,3,1,2]=>10100110=>5 [7,4,3,5,2,6,8,1]=>[2,5,6,4,7,3,1,8]=>[3,2,1,2]=>10010110=>5 [7,5,4,2,3,6,8,1]=>[2,4,5,7,6,3,1,8]=>[4,1,1,2]=>10001110=>3 [7,4,5,2,3,6,8,1]=>[2,5,4,7,6,3,1,8]=>[2,2,1,1,2]=>10101110=>5 [7,5,3,2,4,6,8,1]=>[2,4,6,7,5,3,1,8]=>[4,1,1,2]=>10001110=>3 [7,5,2,3,4,6,8,1]=>[2,4,7,6,5,3,1,8]=>[3,1,1,1,2]=>10011110=>3 [7,4,3,2,5,6,8,1]=>[2,5,6,7,4,3,1,8]=>[4,1,1,2]=>10001110=>3 [7,3,4,2,5,6,8,1]=>[2,6,5,7,4,3,1,8]=>[2,2,1,1,2]=>10101110=>5 [7,4,2,3,5,6,8,1]=>[2,5,7,6,4,3,1,8]=>[3,1,1,1,2]=>10011110=>3 [7,3,2,4,5,6,8,1]=>[2,6,7,5,4,3,1,8]=>[3,1,1,1,2]=>10011110=>3 [7,2,3,4,5,6,8,1]=>[2,7,6,5,4,3,1,8]=>[2,1,1,1,1,2]=>10111110=>3 [6,5,4,3,2,7,8,1]=>[3,4,5,6,7,2,1,8]=>[5,1,2]=>10000110=>3 [5,4,6,3,2,7,8,1]=>[4,5,3,6,7,2,1,8]=>[2,3,1,2]=>10100110=>5 [4,5,6,3,2,7,8,1]=>[5,4,3,6,7,2,1,8]=>[1,1,3,1,2]=>11100110=>3 [5,6,3,4,2,7,8,1]=>[4,3,6,5,7,2,1,8]=>[1,2,2,1,2]=>11010110=>5 [6,4,3,5,2,7,8,1]=>[3,5,6,4,7,2,1,8]=>[3,2,1,2]=>10010110=>5 [6,3,4,5,2,7,8,1]=>[3,6,5,4,7,2,1,8]=>[2,1,2,1,2]=>10110110=>5 [5,4,3,6,2,7,8,1]=>[4,5,6,3,7,2,1,8]=>[3,2,1,2]=>10010110=>5 [4,5,3,6,2,7,8,1]=>[5,4,6,3,7,2,1,8]=>[1,2,2,1,2]=>11010110=>5 [5,3,4,6,2,7,8,1]=>[4,6,5,3,7,2,1,8]=>[2,1,2,1,2]=>10110110=>5 [4,3,5,6,2,7,8,1]=>[5,6,4,3,7,2,1,8]=>[2,1,2,1,2]=>10110110=>5 [3,4,5,6,2,7,8,1]=>[6,5,4,3,7,2,1,8]=>[1,1,1,2,1,2]=>11110110=>3 [5,6,4,2,3,7,8,1]=>[4,3,5,7,6,2,1,8]=>[1,3,1,1,2]=>11001110=>3 [6,4,5,2,3,7,8,1]=>[3,5,4,7,6,2,1,8]=>[2,2,1,1,2]=>10101110=>5 [5,4,6,2,3,7,8,1]=>[4,5,3,7,6,2,1,8]=>[2,2,1,1,2]=>10101110=>5 [4,5,6,2,3,7,8,1]=>[5,4,3,7,6,2,1,8]=>[1,1,2,1,1,2]=>11101110=>3 [6,5,2,3,4,7,8,1]=>[3,4,7,6,5,2,1,8]=>[3,1,1,1,2]=>10011110=>3 [5,6,2,3,4,7,8,1]=>[4,3,7,6,5,2,1,8]=>[1,2,1,1,1,2]=>11011110=>3 [6,4,3,2,5,7,8,1]=>[3,5,6,7,4,2,1,8]=>[4,1,1,2]=>10001110=>3 [6,4,2,3,5,7,8,1]=>[3,5,7,6,4,2,1,8]=>[3,1,1,1,2]=>10011110=>3 [6,2,3,4,5,7,8,1]=>[3,7,6,5,4,2,1,8]=>[2,1,1,1,1,2]=>10111110=>3 [5,4,3,2,6,7,8,1]=>[4,5,6,7,3,2,1,8]=>[4,1,1,2]=>10001110=>3 [4,5,3,2,6,7,8,1]=>[5,4,6,7,3,2,1,8]=>[1,3,1,1,2]=>11001110=>3 [5,3,4,2,6,7,8,1]=>[4,6,5,7,3,2,1,8]=>[2,2,1,1,2]=>10101110=>5 [4,3,5,2,6,7,8,1]=>[5,6,4,7,3,2,1,8]=>[2,2,1,1,2]=>10101110=>5 [3,4,5,2,6,7,8,1]=>[6,5,4,7,3,2,1,8]=>[1,1,2,1,1,2]=>11101110=>3 [5,4,2,3,6,7,8,1]=>[4,5,7,6,3,2,1,8]=>[3,1,1,1,2]=>10011110=>3 [4,5,2,3,6,7,8,1]=>[5,4,7,6,3,2,1,8]=>[1,2,1,1,1,2]=>11011110=>3 [5,3,2,4,6,7,8,1]=>[4,6,7,5,3,2,1,8]=>[3,1,1,1,2]=>10011110=>3 [5,2,3,4,6,7,8,1]=>[4,7,6,5,3,2,1,8]=>[2,1,1,1,1,2]=>10111110=>3 [4,3,2,5,6,7,8,1]=>[5,6,7,4,3,2,1,8]=>[3,1,1,1,2]=>10011110=>3 [3,4,2,5,6,7,8,1]=>[6,5,7,4,3,2,1,8]=>[1,2,1,1,1,2]=>11011110=>3 [4,2,3,5,6,7,8,1]=>[5,7,6,4,3,2,1,8]=>[2,1,1,1,1,2]=>10111110=>3 [3,2,4,5,6,7,8,1]=>[6,7,5,4,3,2,1,8]=>[2,1,1,1,1,2]=>10111110=>3 [2,3,4,5,6,7,8,1]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,2]=>11111110=>1 [8,7,6,5,4,3,1,2]=>[1,2,3,4,5,6,8,7]=>[7,1]=>10000001=>2 [7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[1,6,1]=>11000001=>2 [8,6,7,5,4,3,1,2]=>[1,3,2,4,5,6,8,7]=>[2,5,1]=>10100001=>4 [7,6,8,5,4,3,1,2]=>[2,3,1,4,5,6,8,7]=>[2,5,1]=>10100001=>4 [6,7,8,5,4,3,1,2]=>[3,2,1,4,5,6,8,7]=>[1,1,5,1]=>11100001=>2 [8,7,5,6,4,3,1,2]=>[1,2,4,3,5,6,8,7]=>[3,4,1]=>10010001=>4 [7,8,5,6,4,3,1,2]=>[2,1,4,3,5,6,8,7]=>[1,2,4,1]=>11010001=>4 [8,6,5,7,4,3,1,2]=>[1,3,4,2,5,6,8,7]=>[3,4,1]=>10010001=>4 [8,5,6,7,4,3,1,2]=>[1,4,3,2,5,6,8,7]=>[2,1,4,1]=>10110001=>4 [7,6,5,8,4,3,1,2]=>[2,3,4,1,5,6,8,7]=>[3,4,1]=>10010001=>4 [6,7,5,8,4,3,1,2]=>[3,2,4,1,5,6,8,7]=>[1,2,4,1]=>11010001=>4 [7,5,6,8,4,3,1,2]=>[2,4,3,1,5,6,8,7]=>[2,1,4,1]=>10110001=>4 [6,5,7,8,4,3,1,2]=>[3,4,2,1,5,6,8,7]=>[2,1,4,1]=>10110001=>4 [5,6,7,8,4,3,1,2]=>[4,3,2,1,5,6,8,7]=>[1,1,1,4,1]=>11110001=>2 [8,7,6,4,5,3,1,2]=>[1,2,3,5,4,6,8,7]=>[4,3,1]=>10001001=>4 [7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[1,3,3,1]=>11001001=>4 [8,6,7,4,5,3,1,2]=>[1,3,2,5,4,6,8,7]=>[2,2,3,1]=>10101001=>6 [6,7,8,4,5,3,1,2]=>[3,2,1,5,4,6,8,7]=>[1,1,2,3,1]=>11101001=>4 [8,7,5,4,6,3,1,2]=>[1,2,4,5,3,6,8,7]=>[4,3,1]=>10001001=>4 [7,8,5,4,6,3,1,2]=>[2,1,4,5,3,6,8,7]=>[1,3,3,1]=>11001001=>4 [8,7,4,5,6,3,1,2]=>[1,2,5,4,3,6,8,7]=>[3,1,3,1]=>10011001=>4 [7,8,4,5,6,3,1,2]=>[2,1,5,4,3,6,8,7]=>[1,2,1,3,1]=>11011001=>4 [8,6,5,4,7,3,1,2]=>[1,3,4,5,2,6,8,7]=>[4,3,1]=>10001001=>4 [8,5,6,4,7,3,1,2]=>[1,4,3,5,2,6,8,7]=>[2,2,3,1]=>10101001=>6 [8,6,4,5,7,3,1,2]=>[1,3,5,4,2,6,8,7]=>[3,1,3,1]=>10011001=>4 [8,5,4,6,7,3,1,2]=>[1,4,5,3,2,6,8,7]=>[3,1,3,1]=>10011001=>4 [8,4,5,6,7,3,1,2]=>[1,5,4,3,2,6,8,7]=>[2,1,1,3,1]=>10111001=>4 [7,6,5,4,8,3,1,2]=>[2,3,4,5,1,6,8,7]=>[4,3,1]=>10001001=>4 [6,7,5,4,8,3,1,2]=>[3,2,4,5,1,6,8,7]=>[1,3,3,1]=>11001001=>4 [7,5,6,4,8,3,1,2]=>[2,4,3,5,1,6,8,7]=>[2,2,3,1]=>10101001=>6 [6,5,7,4,8,3,1,2]=>[3,4,2,5,1,6,8,7]=>[2,2,3,1]=>10101001=>6 [5,6,7,4,8,3,1,2]=>[4,3,2,5,1,6,8,7]=>[1,1,2,3,1]=>11101001=>4 [7,6,4,5,8,3,1,2]=>[2,3,5,4,1,6,8,7]=>[3,1,3,1]=>10011001=>4 [6,7,4,5,8,3,1,2]=>[3,2,5,4,1,6,8,7]=>[1,2,1,3,1]=>11011001=>4 [7,5,4,6,8,3,1,2]=>[2,4,5,3,1,6,8,7]=>[3,1,3,1]=>10011001=>4 [7,4,5,6,8,3,1,2]=>[2,5,4,3,1,6,8,7]=>[2,1,1,3,1]=>10111001=>4 [6,5,4,7,8,3,1,2]=>[3,4,5,2,1,6,8,7]=>[3,1,3,1]=>10011001=>4 [5,6,4,7,8,3,1,2]=>[4,3,5,2,1,6,8,7]=>[1,2,1,3,1]=>11011001=>4 [5,4,6,7,8,3,1,2]=>[4,5,3,2,1,6,8,7]=>[2,1,1,3,1]=>10111001=>4 [4,5,6,7,8,3,1,2]=>[5,4,3,2,1,6,8,7]=>[1,1,1,1,3,1]=>11111001=>2 [8,7,6,5,3,4,1,2]=>[1,2,3,4,6,5,8,7]=>[5,2,1]=>10000101=>4 [7,8,6,5,3,4,1,2]=>[2,1,3,4,6,5,8,7]=>[1,4,2,1]=>11000101=>4 [8,6,7,5,3,4,1,2]=>[1,3,2,4,6,5,8,7]=>[2,3,2,1]=>10100101=>6 [7,6,8,5,3,4,1,2]=>[2,3,1,4,6,5,8,7]=>[2,3,2,1]=>10100101=>6 [6,7,8,5,3,4,1,2]=>[3,2,1,4,6,5,8,7]=>[1,1,3,2,1]=>11100101=>4 [8,7,5,6,3,4,1,2]=>[1,2,4,3,6,5,8,7]=>[3,2,2,1]=>10010101=>6 [7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7]=>[1,2,2,2,1]=>11010101=>6 [8,6,5,7,3,4,1,2]=>[1,3,4,2,6,5,8,7]=>[3,2,2,1]=>10010101=>6 [8,5,6,7,3,4,1,2]=>[1,4,3,2,6,5,8,7]=>[2,1,2,2,1]=>10110101=>6 [7,6,5,8,3,4,1,2]=>[2,3,4,1,6,5,8,7]=>[3,2,2,1]=>10010101=>6 [6,7,5,8,3,4,1,2]=>[3,2,4,1,6,5,8,7]=>[1,2,2,2,1]=>11010101=>6 [7,5,6,8,3,4,1,2]=>[2,4,3,1,6,5,8,7]=>[2,1,2,2,1]=>10110101=>6 [6,5,7,8,3,4,1,2]=>[3,4,2,1,6,5,8,7]=>[2,1,2,2,1]=>10110101=>6 [5,6,7,8,3,4,1,2]=>[4,3,2,1,6,5,8,7]=>[1,1,1,2,2,1]=>11110101=>4 [8,7,6,4,3,5,1,2]=>[1,2,3,5,6,4,8,7]=>[5,2,1]=>10000101=>4 [7,8,6,4,3,5,1,2]=>[2,1,3,5,6,4,8,7]=>[1,4,2,1]=>11000101=>4 [8,6,7,4,3,5,1,2]=>[1,3,2,5,6,4,8,7]=>[2,3,2,1]=>10100101=>6 [6,7,8,4,3,5,1,2]=>[3,2,1,5,6,4,8,7]=>[1,1,3,2,1]=>11100101=>4 [8,7,6,3,4,5,1,2]=>[1,2,3,6,5,4,8,7]=>[4,1,2,1]=>10001101=>4 [8,6,7,3,4,5,1,2]=>[1,3,2,6,5,4,8,7]=>[2,2,1,2,1]=>10101101=>6 [7,6,8,3,4,5,1,2]=>[2,3,1,6,5,4,8,7]=>[2,2,1,2,1]=>10101101=>6 [6,7,8,3,4,5,1,2]=>[3,2,1,6,5,4,8,7]=>[1,1,2,1,2,1]=>11101101=>4 [8,7,5,4,3,6,1,2]=>[1,2,4,5,6,3,8,7]=>[5,2,1]=>10000101=>4 [7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[1,4,2,1]=>11000101=>4 [8,7,4,5,3,6,1,2]=>[1,2,5,4,6,3,8,7]=>[3,2,2,1]=>10010101=>6 [7,8,4,5,3,6,1,2]=>[2,1,5,4,6,3,8,7]=>[1,2,2,2,1]=>11010101=>6 [8,7,5,3,4,6,1,2]=>[1,2,4,6,5,3,8,7]=>[4,1,2,1]=>10001101=>4 [7,8,5,3,4,6,1,2]=>[2,1,4,6,5,3,8,7]=>[1,3,1,2,1]=>11001101=>4 [8,7,4,3,5,6,1,2]=>[1,2,5,6,4,3,8,7]=>[4,1,2,1]=>10001101=>4 [7,8,4,3,5,6,1,2]=>[2,1,5,6,4,3,8,7]=>[1,3,1,2,1]=>11001101=>4 [8,7,3,4,5,6,1,2]=>[1,2,6,5,4,3,8,7]=>[3,1,1,2,1]=>10011101=>4 [7,8,3,4,5,6,1,2]=>[2,1,6,5,4,3,8,7]=>[1,2,1,1,2,1]=>11011101=>4 [8,6,5,4,3,7,1,2]=>[1,3,4,5,6,2,8,7]=>[5,2,1]=>10000101=>4 [8,6,5,3,4,7,1,2]=>[1,3,4,6,5,2,8,7]=>[4,1,2,1]=>10001101=>4 [8,6,4,3,5,7,1,2]=>[1,3,5,6,4,2,8,7]=>[4,1,2,1]=>10001101=>4 [8,6,3,4,5,7,1,2]=>[1,3,6,5,4,2,8,7]=>[3,1,1,2,1]=>10011101=>4 [8,5,4,3,6,7,1,2]=>[1,4,5,6,3,2,8,7]=>[4,1,2,1]=>10001101=>4 [8,4,5,3,6,7,1,2]=>[1,5,4,6,3,2,8,7]=>[2,2,1,2,1]=>10101101=>6 [8,4,3,5,6,7,1,2]=>[1,5,6,4,3,2,8,7]=>[3,1,1,2,1]=>10011101=>4 [8,3,4,5,6,7,1,2]=>[1,6,5,4,3,2,8,7]=>[2,1,1,1,2,1]=>10111101=>4 [7,6,5,4,3,8,1,2]=>[2,3,4,5,6,1,8,7]=>[5,2,1]=>10000101=>4 [7,5,6,4,3,8,1,2]=>[2,4,3,5,6,1,8,7]=>[2,3,2,1]=>10100101=>6 [6,5,7,4,3,8,1,2]=>[3,4,2,5,6,1,8,7]=>[2,3,2,1]=>10100101=>6 [5,6,7,4,3,8,1,2]=>[4,3,2,5,6,1,8,7]=>[1,1,3,2,1]=>11100101=>4 [6,7,4,5,3,8,1,2]=>[3,2,5,4,6,1,8,7]=>[1,2,2,2,1]=>11010101=>6 [7,5,4,6,3,8,1,2]=>[2,4,5,3,6,1,8,7]=>[3,2,2,1]=>10010101=>6 [7,4,5,6,3,8,1,2]=>[2,5,4,3,6,1,8,7]=>[2,1,2,2,1]=>10110101=>6 [6,5,4,7,3,8,1,2]=>[3,4,5,2,6,1,8,7]=>[3,2,2,1]=>10010101=>6 [5,6,4,7,3,8,1,2]=>[4,3,5,2,6,1,8,7]=>[1,2,2,2,1]=>11010101=>6 [6,4,5,7,3,8,1,2]=>[3,5,4,2,6,1,8,7]=>[2,1,2,2,1]=>10110101=>6 [5,4,6,7,3,8,1,2]=>[4,5,3,2,6,1,8,7]=>[2,1,2,2,1]=>10110101=>6 [4,5,6,7,3,8,1,2]=>[5,4,3,2,6,1,8,7]=>[1,1,1,2,2,1]=>11110101=>4 [7,6,5,3,4,8,1,2]=>[2,3,4,6,5,1,8,7]=>[4,1,2,1]=>10001101=>4 [6,7,5,3,4,8,1,2]=>[3,2,4,6,5,1,8,7]=>[1,3,1,2,1]=>11001101=>4 [7,5,6,3,4,8,1,2]=>[2,4,3,6,5,1,8,7]=>[2,2,1,2,1]=>10101101=>6 [6,5,7,3,4,8,1,2]=>[3,4,2,6,5,1,8,7]=>[2,2,1,2,1]=>10101101=>6 [5,6,7,3,4,8,1,2]=>[4,3,2,6,5,1,8,7]=>[1,1,2,1,2,1]=>11101101=>4 [7,6,4,3,5,8,1,2]=>[2,3,5,6,4,1,8,7]=>[4,1,2,1]=>10001101=>4 [6,7,4,3,5,8,1,2]=>[3,2,5,6,4,1,8,7]=>[1,3,1,2,1]=>11001101=>4 [7,6,3,4,5,8,1,2]=>[2,3,6,5,4,1,8,7]=>[3,1,1,2,1]=>10011101=>4 [6,7,3,4,5,8,1,2]=>[3,2,6,5,4,1,8,7]=>[1,2,1,1,2,1]=>11011101=>4 [7,5,4,3,6,8,1,2]=>[2,4,5,6,3,1,8,7]=>[4,1,2,1]=>10001101=>4 [7,4,5,3,6,8,1,2]=>[2,5,4,6,3,1,8,7]=>[2,2,1,2,1]=>10101101=>6 [7,5,3,4,6,8,1,2]=>[2,4,6,5,3,1,8,7]=>[3,1,1,2,1]=>10011101=>4 [7,3,4,5,6,8,1,2]=>[2,6,5,4,3,1,8,7]=>[2,1,1,1,2,1]=>10111101=>4 [6,5,4,3,7,8,1,2]=>[3,4,5,6,2,1,8,7]=>[4,1,2,1]=>10001101=>4 [5,6,4,3,7,8,1,2]=>[4,3,5,6,2,1,8,7]=>[1,3,1,2,1]=>11001101=>4 [6,4,5,3,7,8,1,2]=>[3,5,4,6,2,1,8,7]=>[2,2,1,2,1]=>10101101=>6 [5,4,6,3,7,8,1,2]=>[4,5,3,6,2,1,8,7]=>[2,2,1,2,1]=>10101101=>6 [4,5,6,3,7,8,1,2]=>[5,4,3,6,2,1,8,7]=>[1,1,2,1,2,1]=>11101101=>4 [6,5,3,4,7,8,1,2]=>[3,4,6,5,2,1,8,7]=>[3,1,1,2,1]=>10011101=>4 [5,6,3,4,7,8,1,2]=>[4,3,6,5,2,1,8,7]=>[1,2,1,1,2,1]=>11011101=>4 [6,4,3,5,7,8,1,2]=>[3,5,6,4,2,1,8,7]=>[3,1,1,2,1]=>10011101=>4 [6,3,4,5,7,8,1,2]=>[3,6,5,4,2,1,8,7]=>[2,1,1,1,2,1]=>10111101=>4 [5,4,3,6,7,8,1,2]=>[4,5,6,3,2,1,8,7]=>[3,1,1,2,1]=>10011101=>4 [4,5,3,6,7,8,1,2]=>[5,4,6,3,2,1,8,7]=>[1,2,1,1,2,1]=>11011101=>4 [5,3,4,6,7,8,1,2]=>[4,6,5,3,2,1,8,7]=>[2,1,1,1,2,1]=>10111101=>4 [4,3,5,6,7,8,1,2]=>[5,6,4,3,2,1,8,7]=>[2,1,1,1,2,1]=>10111101=>4 [3,4,5,6,7,8,1,2]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,2,1]=>11111101=>2 [8,7,6,5,4,2,1,3]=>[1,2,3,4,5,7,8,6]=>[7,1]=>10000001=>2 [7,8,6,5,4,2,1,3]=>[2,1,3,4,5,7,8,6]=>[1,6,1]=>11000001=>2 [8,6,7,5,4,2,1,3]=>[1,3,2,4,5,7,8,6]=>[2,5,1]=>10100001=>4 [7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[2,5,1]=>10100001=>4 [6,7,8,5,4,2,1,3]=>[3,2,1,4,5,7,8,6]=>[1,1,5,1]=>11100001=>2 [8,7,5,6,4,2,1,3]=>[1,2,4,3,5,7,8,6]=>[3,4,1]=>10010001=>4 [7,8,5,6,4,2,1,3]=>[2,1,4,3,5,7,8,6]=>[1,2,4,1]=>11010001=>4 [8,6,5,7,4,2,1,3]=>[1,3,4,2,5,7,8,6]=>[3,4,1]=>10010001=>4 [8,5,6,7,4,2,1,3]=>[1,4,3,2,5,7,8,6]=>[2,1,4,1]=>10110001=>4 [7,6,5,8,4,2,1,3]=>[2,3,4,1,5,7,8,6]=>[3,4,1]=>10010001=>4 [6,7,5,8,4,2,1,3]=>[3,2,4,1,5,7,8,6]=>[1,2,4,1]=>11010001=>4 [7,5,6,8,4,2,1,3]=>[2,4,3,1,5,7,8,6]=>[2,1,4,1]=>10110001=>4 [5,6,7,8,4,2,1,3]=>[4,3,2,1,5,7,8,6]=>[1,1,1,4,1]=>11110001=>2 [8,7,6,4,5,2,1,3]=>[1,2,3,5,4,7,8,6]=>[4,3,1]=>10001001=>4 [7,8,6,4,5,2,1,3]=>[2,1,3,5,4,7,8,6]=>[1,3,3,1]=>11001001=>4 [8,6,7,4,5,2,1,3]=>[1,3,2,5,4,7,8,6]=>[2,2,3,1]=>10101001=>6 [7,6,8,4,5,2,1,3]=>[2,3,1,5,4,7,8,6]=>[2,2,3,1]=>10101001=>6 [6,7,8,4,5,2,1,3]=>[3,2,1,5,4,7,8,6]=>[1,1,2,3,1]=>11101001=>4 [8,7,5,4,6,2,1,3]=>[1,2,4,5,3,7,8,6]=>[4,3,1]=>10001001=>4 [7,8,5,4,6,2,1,3]=>[2,1,4,5,3,7,8,6]=>[1,3,3,1]=>11001001=>4 [8,7,4,5,6,2,1,3]=>[1,2,5,4,3,7,8,6]=>[3,1,3,1]=>10011001=>4 [7,8,4,5,6,2,1,3]=>[2,1,5,4,3,7,8,6]=>[1,2,1,3,1]=>11011001=>4 [8,6,5,4,7,2,1,3]=>[1,3,4,5,2,7,8,6]=>[4,3,1]=>10001001=>4 [8,5,6,4,7,2,1,3]=>[1,4,3,5,2,7,8,6]=>[2,2,3,1]=>10101001=>6 [8,6,4,5,7,2,1,3]=>[1,3,5,4,2,7,8,6]=>[3,1,3,1]=>10011001=>4 [8,5,4,6,7,2,1,3]=>[1,4,5,3,2,7,8,6]=>[3,1,3,1]=>10011001=>4 [8,4,5,6,7,2,1,3]=>[1,5,4,3,2,7,8,6]=>[2,1,1,3,1]=>10111001=>4 [7,6,5,4,8,2,1,3]=>[2,3,4,5,1,7,8,6]=>[4,3,1]=>10001001=>4 [6,7,5,4,8,2,1,3]=>[3,2,4,5,1,7,8,6]=>[1,3,3,1]=>11001001=>4 [7,5,6,4,8,2,1,3]=>[2,4,3,5,1,7,8,6]=>[2,2,3,1]=>10101001=>6 [6,5,7,4,8,2,1,3]=>[3,4,2,5,1,7,8,6]=>[2,2,3,1]=>10101001=>6 [5,6,7,4,8,2,1,3]=>[4,3,2,5,1,7,8,6]=>[1,1,2,3,1]=>11101001=>4 [7,6,4,5,8,2,1,3]=>[2,3,5,4,1,7,8,6]=>[3,1,3,1]=>10011001=>4 [6,7,4,5,8,2,1,3]=>[3,2,5,4,1,7,8,6]=>[1,2,1,3,1]=>11011001=>4 [7,5,4,6,8,2,1,3]=>[2,4,5,3,1,7,8,6]=>[3,1,3,1]=>10011001=>4 [7,4,5,6,8,2,1,3]=>[2,5,4,3,1,7,8,6]=>[2,1,1,3,1]=>10111001=>4 [6,5,4,7,8,2,1,3]=>[3,4,5,2,1,7,8,6]=>[3,1,3,1]=>10011001=>4 [5,6,4,7,8,2,1,3]=>[4,3,5,2,1,7,8,6]=>[1,2,1,3,1]=>11011001=>4 [6,4,5,7,8,2,1,3]=>[3,5,4,2,1,7,8,6]=>[2,1,1,3,1]=>10111001=>4 [5,4,6,7,8,2,1,3]=>[4,5,3,2,1,7,8,6]=>[2,1,1,3,1]=>10111001=>4 [4,5,6,7,8,2,1,3]=>[5,4,3,2,1,7,8,6]=>[1,1,1,1,3,1]=>11111001=>2 [8,7,6,5,4,1,2,3]=>[1,2,3,4,5,8,7,6]=>[6,1,1]=>10000011=>2 [7,8,6,5,4,1,2,3]=>[2,1,3,4,5,8,7,6]=>[1,5,1,1]=>11000011=>2 [8,6,7,5,4,1,2,3]=>[1,3,2,4,5,8,7,6]=>[2,4,1,1]=>10100011=>4 [7,6,8,5,4,1,2,3]=>[2,3,1,4,5,8,7,6]=>[2,4,1,1]=>10100011=>4 [6,7,8,5,4,1,2,3]=>[3,2,1,4,5,8,7,6]=>[1,1,4,1,1]=>11100011=>2 [8,7,5,6,4,1,2,3]=>[1,2,4,3,5,8,7,6]=>[3,3,1,1]=>10010011=>4 [7,8,5,6,4,1,2,3]=>[2,1,4,3,5,8,7,6]=>[1,2,3,1,1]=>11010011=>4 [8,6,5,7,4,1,2,3]=>[1,3,4,2,5,8,7,6]=>[3,3,1,1]=>10010011=>4 [8,5,6,7,4,1,2,3]=>[1,4,3,2,5,8,7,6]=>[2,1,3,1,1]=>10110011=>4 [7,6,5,8,4,1,2,3]=>[2,3,4,1,5,8,7,6]=>[3,3,1,1]=>10010011=>4 [6,7,5,8,4,1,2,3]=>[3,2,4,1,5,8,7,6]=>[1,2,3,1,1]=>11010011=>4 [7,5,6,8,4,1,2,3]=>[2,4,3,1,5,8,7,6]=>[2,1,3,1,1]=>10110011=>4 [6,5,7,8,4,1,2,3]=>[3,4,2,1,5,8,7,6]=>[2,1,3,1,1]=>10110011=>4 [5,6,7,8,4,1,2,3]=>[4,3,2,1,5,8,7,6]=>[1,1,1,3,1,1]=>11110011=>2 [8,7,6,4,5,1,2,3]=>[1,2,3,5,4,8,7,6]=>[4,2,1,1]=>10001011=>4 [7,8,6,4,5,1,2,3]=>[2,1,3,5,4,8,7,6]=>[1,3,2,1,1]=>11001011=>4 [8,6,7,4,5,1,2,3]=>[1,3,2,5,4,8,7,6]=>[2,2,2,1,1]=>10101011=>6 [6,7,8,4,5,1,2,3]=>[3,2,1,5,4,8,7,6]=>[1,1,2,2,1,1]=>11101011=>4 [8,7,5,4,6,1,2,3]=>[1,2,4,5,3,8,7,6]=>[4,2,1,1]=>10001011=>4 [7,8,5,4,6,1,2,3]=>[2,1,4,5,3,8,7,6]=>[1,3,2,1,1]=>11001011=>4 [8,7,4,5,6,1,2,3]=>[1,2,5,4,3,8,7,6]=>[3,1,2,1,1]=>10011011=>4 [7,8,4,5,6,1,2,3]=>[2,1,5,4,3,8,7,6]=>[1,2,1,2,1,1]=>11011011=>4 [8,6,5,4,7,1,2,3]=>[1,3,4,5,2,8,7,6]=>[4,2,1,1]=>10001011=>4 [8,5,6,4,7,1,2,3]=>[1,4,3,5,2,8,7,6]=>[2,2,2,1,1]=>10101011=>6 [8,6,4,5,7,1,2,3]=>[1,3,5,4,2,8,7,6]=>[3,1,2,1,1]=>10011011=>4 [8,5,4,6,7,1,2,3]=>[1,4,5,3,2,8,7,6]=>[3,1,2,1,1]=>10011011=>4 [8,4,5,6,7,1,2,3]=>[1,5,4,3,2,8,7,6]=>[2,1,1,2,1,1]=>10111011=>4 [7,6,5,4,8,1,2,3]=>[2,3,4,5,1,8,7,6]=>[4,2,1,1]=>10001011=>4 [6,7,5,4,8,1,2,3]=>[3,2,4,5,1,8,7,6]=>[1,3,2,1,1]=>11001011=>4 [7,5,6,4,8,1,2,3]=>[2,4,3,5,1,8,7,6]=>[2,2,2,1,1]=>10101011=>6 [6,5,7,4,8,1,2,3]=>[3,4,2,5,1,8,7,6]=>[2,2,2,1,1]=>10101011=>6 [5,6,7,4,8,1,2,3]=>[4,3,2,5,1,8,7,6]=>[1,1,2,2,1,1]=>11101011=>4 [7,6,4,5,8,1,2,3]=>[2,3,5,4,1,8,7,6]=>[3,1,2,1,1]=>10011011=>4 [6,7,4,5,8,1,2,3]=>[3,2,5,4,1,8,7,6]=>[1,2,1,2,1,1]=>11011011=>4 [7,5,4,6,8,1,2,3]=>[2,4,5,3,1,8,7,6]=>[3,1,2,1,1]=>10011011=>4 [7,4,5,6,8,1,2,3]=>[2,5,4,3,1,8,7,6]=>[2,1,1,2,1,1]=>10111011=>4 [6,5,4,7,8,1,2,3]=>[3,4,5,2,1,8,7,6]=>[3,1,2,1,1]=>10011011=>4 [5,6,4,7,8,1,2,3]=>[4,3,5,2,1,8,7,6]=>[1,2,1,2,1,1]=>11011011=>4 [6,4,5,7,8,1,2,3]=>[3,5,4,2,1,8,7,6]=>[2,1,1,2,1,1]=>10111011=>4 [5,4,6,7,8,1,2,3]=>[4,5,3,2,1,8,7,6]=>[2,1,1,2,1,1]=>10111011=>4 [4,5,6,7,8,1,2,3]=>[5,4,3,2,1,8,7,6]=>[1,1,1,1,2,1,1]=>11111011=>2 [8,7,6,5,3,2,1,4]=>[1,2,3,4,6,7,8,5]=>[7,1]=>10000001=>2 [7,8,6,5,3,2,1,4]=>[2,1,3,4,6,7,8,5]=>[1,6,1]=>11000001=>2 [8,6,7,5,3,2,1,4]=>[1,3,2,4,6,7,8,5]=>[2,5,1]=>10100001=>4 [7,6,8,5,3,2,1,4]=>[2,3,1,4,6,7,8,5]=>[2,5,1]=>10100001=>4 [6,7,8,5,3,2,1,4]=>[3,2,1,4,6,7,8,5]=>[1,1,5,1]=>11100001=>2 [8,7,5,6,3,2,1,4]=>[1,2,4,3,6,7,8,5]=>[3,4,1]=>10010001=>4 [7,8,5,6,3,2,1,4]=>[2,1,4,3,6,7,8,5]=>[1,2,4,1]=>11010001=>4 [8,6,5,7,3,2,1,4]=>[1,3,4,2,6,7,8,5]=>[3,4,1]=>10010001=>4 [8,5,6,7,3,2,1,4]=>[1,4,3,2,6,7,8,5]=>[2,1,4,1]=>10110001=>4 [7,6,5,8,3,2,1,4]=>[2,3,4,1,6,7,8,5]=>[3,4,1]=>10010001=>4 [6,7,5,8,3,2,1,4]=>[3,2,4,1,6,7,8,5]=>[1,2,4,1]=>11010001=>4 [7,5,6,8,3,2,1,4]=>[2,4,3,1,6,7,8,5]=>[2,1,4,1]=>10110001=>4 [6,5,7,8,3,2,1,4]=>[3,4,2,1,6,7,8,5]=>[2,1,4,1]=>10110001=>4 [5,6,7,8,3,2,1,4]=>[4,3,2,1,6,7,8,5]=>[1,1,1,4,1]=>11110001=>2 [8,7,6,5,2,3,1,4]=>[1,2,3,4,7,6,8,5]=>[5,2,1]=>10000101=>4 [7,8,6,5,2,3,1,4]=>[2,1,3,4,7,6,8,5]=>[1,4,2,1]=>11000101=>4 [8,6,7,5,2,3,1,4]=>[1,3,2,4,7,6,8,5]=>[2,3,2,1]=>10100101=>6 [7,6,8,5,2,3,1,4]=>[2,3,1,4,7,6,8,5]=>[2,3,2,1]=>10100101=>6 [8,7,5,6,2,3,1,4]=>[1,2,4,3,7,6,8,5]=>[3,2,2,1]=>10010101=>6 [7,8,5,6,2,3,1,4]=>[2,1,4,3,7,6,8,5]=>[1,2,2,2,1]=>11010101=>6 [8,6,5,7,2,3,1,4]=>[1,3,4,2,7,6,8,5]=>[3,2,2,1]=>10010101=>6 [8,5,6,7,2,3,1,4]=>[1,4,3,2,7,6,8,5]=>[2,1,2,2,1]=>10110101=>6 [7,6,5,8,2,3,1,4]=>[2,3,4,1,7,6,8,5]=>[3,2,2,1]=>10010101=>6 [6,7,5,8,2,3,1,4]=>[3,2,4,1,7,6,8,5]=>[1,2,2,2,1]=>11010101=>6 [7,5,6,8,2,3,1,4]=>[2,4,3,1,7,6,8,5]=>[2,1,2,2,1]=>10110101=>6 [6,5,7,8,2,3,1,4]=>[3,4,2,1,7,6,8,5]=>[2,1,2,2,1]=>10110101=>6 [5,6,7,8,2,3,1,4]=>[4,3,2,1,7,6,8,5]=>[1,1,1,2,2,1]=>11110101=>4 [8,7,6,5,3,1,2,4]=>[1,2,3,4,6,8,7,5]=>[6,1,1]=>10000011=>2 [7,8,6,5,3,1,2,4]=>[2,1,3,4,6,8,7,5]=>[1,5,1,1]=>11000011=>2 [8,6,7,5,3,1,2,4]=>[1,3,2,4,6,8,7,5]=>[2,4,1,1]=>10100011=>4 [7,6,8,5,3,1,2,4]=>[2,3,1,4,6,8,7,5]=>[2,4,1,1]=>10100011=>4 [6,7,8,5,3,1,2,4]=>[3,2,1,4,6,8,7,5]=>[1,1,4,1,1]=>11100011=>2 [8,7,5,6,3,1,2,4]=>[1,2,4,3,6,8,7,5]=>[3,3,1,1]=>10010011=>4 [7,8,5,6,3,1,2,4]=>[2,1,4,3,6,8,7,5]=>[1,2,3,1,1]=>11010011=>4 [8,6,5,7,3,1,2,4]=>[1,3,4,2,6,8,7,5]=>[3,3,1,1]=>10010011=>4 [8,5,6,7,3,1,2,4]=>[1,4,3,2,6,8,7,5]=>[2,1,3,1,1]=>10110011=>4 [7,6,5,8,3,1,2,4]=>[2,3,4,1,6,8,7,5]=>[3,3,1,1]=>10010011=>4 [6,7,5,8,3,1,2,4]=>[3,2,4,1,6,8,7,5]=>[1,2,3,1,1]=>11010011=>4 [7,5,6,8,3,1,2,4]=>[2,4,3,1,6,8,7,5]=>[2,1,3,1,1]=>10110011=>4 [6,5,7,8,3,1,2,4]=>[3,4,2,1,6,8,7,5]=>[2,1,3,1,1]=>10110011=>4 [5,6,7,8,3,1,2,4]=>[4,3,2,1,6,8,7,5]=>[1,1,1,3,1,1]=>11110011=>2 [8,7,6,5,2,1,3,4]=>[1,2,3,4,7,8,6,5]=>[6,1,1]=>10000011=>2 [7,8,6,5,2,1,3,4]=>[2,1,3,4,7,8,6,5]=>[1,5,1,1]=>11000011=>2 [8,6,7,5,2,1,3,4]=>[1,3,2,4,7,8,6,5]=>[2,4,1,1]=>10100011=>4 [7,6,8,5,2,1,3,4]=>[2,3,1,4,7,8,6,5]=>[2,4,1,1]=>10100011=>4 [6,7,8,5,2,1,3,4]=>[3,2,1,4,7,8,6,5]=>[1,1,4,1,1]=>11100011=>2 [8,7,5,6,2,1,3,4]=>[1,2,4,3,7,8,6,5]=>[3,3,1,1]=>10010011=>4 [7,8,5,6,2,1,3,4]=>[2,1,4,3,7,8,6,5]=>[1,2,3,1,1]=>11010011=>4 [8,6,5,7,2,1,3,4]=>[1,3,4,2,7,8,6,5]=>[3,3,1,1]=>10010011=>4 [8,5,6,7,2,1,3,4]=>[1,4,3,2,7,8,6,5]=>[2,1,3,1,1]=>10110011=>4 [7,6,5,8,2,1,3,4]=>[2,3,4,1,7,8,6,5]=>[3,3,1,1]=>10010011=>4 [6,7,5,8,2,1,3,4]=>[3,2,4,1,7,8,6,5]=>[1,2,3,1,1]=>11010011=>4 [7,5,6,8,2,1,3,4]=>[2,4,3,1,7,8,6,5]=>[2,1,3,1,1]=>10110011=>4 [6,5,7,8,2,1,3,4]=>[3,4,2,1,7,8,6,5]=>[2,1,3,1,1]=>10110011=>4 [5,6,7,8,2,1,3,4]=>[4,3,2,1,7,8,6,5]=>[1,1,1,3,1,1]=>11110011=>2 [8,7,6,5,1,2,3,4]=>[1,2,3,4,8,7,6,5]=>[5,1,1,1]=>10000111=>2 [7,8,6,5,1,2,3,4]=>[2,1,3,4,8,7,6,5]=>[1,4,1,1,1]=>11000111=>2 [8,6,7,5,1,2,3,4]=>[1,3,2,4,8,7,6,5]=>[2,3,1,1,1]=>10100111=>4 [7,6,8,5,1,2,3,4]=>[2,3,1,4,8,7,6,5]=>[2,3,1,1,1]=>10100111=>4 [6,7,8,5,1,2,3,4]=>[3,2,1,4,8,7,6,5]=>[1,1,3,1,1,1]=>11100111=>2 [8,7,5,6,1,2,3,4]=>[1,2,4,3,8,7,6,5]=>[3,2,1,1,1]=>10010111=>4 [7,8,5,6,1,2,3,4]=>[2,1,4,3,8,7,6,5]=>[1,2,2,1,1,1]=>11010111=>4 [8,6,5,7,1,2,3,4]=>[1,3,4,2,8,7,6,5]=>[3,2,1,1,1]=>10010111=>4 [8,5,6,7,1,2,3,4]=>[1,4,3,2,8,7,6,5]=>[2,1,2,1,1,1]=>10110111=>4 [7,6,5,8,1,2,3,4]=>[2,3,4,1,8,7,6,5]=>[3,2,1,1,1]=>10010111=>4 [6,7,5,8,1,2,3,4]=>[3,2,4,1,8,7,6,5]=>[1,2,2,1,1,1]=>11010111=>4 [7,5,6,8,1,2,3,4]=>[2,4,3,1,8,7,6,5]=>[2,1,2,1,1,1]=>10110111=>4 [6,5,7,8,1,2,3,4]=>[3,4,2,1,8,7,6,5]=>[2,1,2,1,1,1]=>10110111=>4 [5,6,7,8,1,2,3,4]=>[4,3,2,1,8,7,6,5]=>[1,1,1,2,1,1,1]=>11110111=>2 [8,7,6,4,3,2,1,5]=>[1,2,3,5,6,7,8,4]=>[7,1]=>10000001=>2 [7,8,6,4,3,2,1,5]=>[2,1,3,5,6,7,8,4]=>[1,6,1]=>11000001=>2 [8,6,7,4,3,2,1,5]=>[1,3,2,5,6,7,8,4]=>[2,5,1]=>10100001=>4 [7,6,8,4,3,2,1,5]=>[2,3,1,5,6,7,8,4]=>[2,5,1]=>10100001=>4 [6,7,8,4,3,2,1,5]=>[3,2,1,5,6,7,8,4]=>[1,1,5,1]=>11100001=>2 [8,7,6,3,4,2,1,5]=>[1,2,3,6,5,7,8,4]=>[4,3,1]=>10001001=>4 [7,8,6,3,4,2,1,5]=>[2,1,3,6,5,7,8,4]=>[1,3,3,1]=>11001001=>4 [8,6,7,3,4,2,1,5]=>[1,3,2,6,5,7,8,4]=>[2,2,3,1]=>10101001=>6 [7,6,8,3,4,2,1,5]=>[2,3,1,6,5,7,8,4]=>[2,2,3,1]=>10101001=>6 [6,7,8,3,4,2,1,5]=>[3,2,1,6,5,7,8,4]=>[1,1,2,3,1]=>11101001=>4 [8,7,6,4,2,3,1,5]=>[1,2,3,5,7,6,8,4]=>[5,2,1]=>10000101=>4 [7,8,6,4,2,3,1,5]=>[2,1,3,5,7,6,8,4]=>[1,4,2,1]=>11000101=>4 [8,6,7,4,2,3,1,5]=>[1,3,2,5,7,6,8,4]=>[2,3,2,1]=>10100101=>6 [7,6,8,4,2,3,1,5]=>[2,3,1,5,7,6,8,4]=>[2,3,2,1]=>10100101=>6 [6,7,8,4,2,3,1,5]=>[3,2,1,5,7,6,8,4]=>[1,1,3,2,1]=>11100101=>4 [8,7,6,3,2,4,1,5]=>[1,2,3,6,7,5,8,4]=>[5,2,1]=>10000101=>4 [7,8,6,3,2,4,1,5]=>[2,1,3,6,7,5,8,4]=>[1,4,2,1]=>11000101=>4 [8,6,7,3,2,4,1,5]=>[1,3,2,6,7,5,8,4]=>[2,3,2,1]=>10100101=>6 [7,6,8,3,2,4,1,5]=>[2,3,1,6,7,5,8,4]=>[2,3,2,1]=>10100101=>6 [6,7,8,3,2,4,1,5]=>[3,2,1,6,7,5,8,4]=>[1,1,3,2,1]=>11100101=>4 [8,7,6,2,3,4,1,5]=>[1,2,3,7,6,5,8,4]=>[4,1,2,1]=>10001101=>4 [7,8,6,2,3,4,1,5]=>[2,1,3,7,6,5,8,4]=>[1,3,1,2,1]=>11001101=>4 [8,6,7,2,3,4,1,5]=>[1,3,2,7,6,5,8,4]=>[2,2,1,2,1]=>10101101=>6 [7,6,8,2,3,4,1,5]=>[2,3,1,7,6,5,8,4]=>[2,2,1,2,1]=>10101101=>6 [6,7,8,2,3,4,1,5]=>[3,2,1,7,6,5,8,4]=>[1,1,2,1,2,1]=>11101101=>4 [8,7,6,4,3,1,2,5]=>[1,2,3,5,6,8,7,4]=>[6,1,1]=>10000011=>2 [7,8,6,4,3,1,2,5]=>[2,1,3,5,6,8,7,4]=>[1,5,1,1]=>11000011=>2 [8,6,7,4,3,1,2,5]=>[1,3,2,5,6,8,7,4]=>[2,4,1,1]=>10100011=>4 [7,6,8,4,3,1,2,5]=>[2,3,1,5,6,8,7,4]=>[2,4,1,1]=>10100011=>4 [6,7,8,4,3,1,2,5]=>[3,2,1,5,6,8,7,4]=>[1,1,4,1,1]=>11100011=>2 [8,7,6,3,4,1,2,5]=>[1,2,3,6,5,8,7,4]=>[4,2,1,1]=>10001011=>4 [7,8,6,3,4,1,2,5]=>[2,1,3,6,5,8,7,4]=>[1,3,2,1,1]=>11001011=>4 [8,6,7,3,4,1,2,5]=>[1,3,2,6,5,8,7,4]=>[2,2,2,1,1]=>10101011=>6 [7,6,8,3,4,1,2,5]=>[2,3,1,6,5,8,7,4]=>[2,2,2,1,1]=>10101011=>6 [6,7,8,3,4,1,2,5]=>[3,2,1,6,5,8,7,4]=>[1,1,2,2,1,1]=>11101011=>4 [8,7,6,4,2,1,3,5]=>[1,2,3,5,7,8,6,4]=>[6,1,1]=>10000011=>2 [7,8,6,4,2,1,3,5]=>[2,1,3,5,7,8,6,4]=>[1,5,1,1]=>11000011=>2 [8,6,7,4,2,1,3,5]=>[1,3,2,5,7,8,6,4]=>[2,4,1,1]=>10100011=>4 [7,6,8,4,2,1,3,5]=>[2,3,1,5,7,8,6,4]=>[2,4,1,1]=>10100011=>4 [6,7,8,4,2,1,3,5]=>[3,2,1,5,7,8,6,4]=>[1,1,4,1,1]=>11100011=>2 [8,7,6,4,1,2,3,5]=>[1,2,3,5,8,7,6,4]=>[5,1,1,1]=>10000111=>2 [7,8,6,4,1,2,3,5]=>[2,1,3,5,8,7,6,4]=>[1,4,1,1,1]=>11000111=>2 [8,6,7,4,1,2,3,5]=>[1,3,2,5,8,7,6,4]=>[2,3,1,1,1]=>10100111=>4 [7,6,8,4,1,2,3,5]=>[2,3,1,5,8,7,6,4]=>[2,3,1,1,1]=>10100111=>4 [6,7,8,4,1,2,3,5]=>[3,2,1,5,8,7,6,4]=>[1,1,3,1,1,1]=>11100111=>2 [8,7,6,3,2,1,4,5]=>[1,2,3,6,7,8,5,4]=>[6,1,1]=>10000011=>2 [7,8,6,3,2,1,4,5]=>[2,1,3,6,7,8,5,4]=>[1,5,1,1]=>11000011=>2 [8,6,7,3,2,1,4,5]=>[1,3,2,6,7,8,5,4]=>[2,4,1,1]=>10100011=>4 [7,6,8,3,2,1,4,5]=>[2,3,1,6,7,8,5,4]=>[2,4,1,1]=>10100011=>4 [6,7,8,3,2,1,4,5]=>[3,2,1,6,7,8,5,4]=>[1,1,4,1,1]=>11100011=>2 [8,7,6,2,3,1,4,5]=>[1,2,3,7,6,8,5,4]=>[4,2,1,1]=>10001011=>4 [7,8,6,2,3,1,4,5]=>[2,1,3,7,6,8,5,4]=>[1,3,2,1,1]=>11001011=>4 [8,6,7,2,3,1,4,5]=>[1,3,2,7,6,8,5,4]=>[2,2,2,1,1]=>10101011=>6 [7,6,8,2,3,1,4,5]=>[2,3,1,7,6,8,5,4]=>[2,2,2,1,1]=>10101011=>6 [6,7,8,2,3,1,4,5]=>[3,2,1,7,6,8,5,4]=>[1,1,2,2,1,1]=>11101011=>4 [8,7,6,3,1,2,4,5]=>[1,2,3,6,8,7,5,4]=>[5,1,1,1]=>10000111=>2 [7,8,6,3,1,2,4,5]=>[2,1,3,6,8,7,5,4]=>[1,4,1,1,1]=>11000111=>2 [8,6,7,3,1,2,4,5]=>[1,3,2,6,8,7,5,4]=>[2,3,1,1,1]=>10100111=>4 [7,6,8,3,1,2,4,5]=>[2,3,1,6,8,7,5,4]=>[2,3,1,1,1]=>10100111=>4 [6,7,8,3,1,2,4,5]=>[3,2,1,6,8,7,5,4]=>[1,1,3,1,1,1]=>11100111=>2 [8,7,6,2,1,3,4,5]=>[1,2,3,7,8,6,5,4]=>[5,1,1,1]=>10000111=>2 [7,8,6,2,1,3,4,5]=>[2,1,3,7,8,6,5,4]=>[1,4,1,1,1]=>11000111=>2 [8,6,7,2,1,3,4,5]=>[1,3,2,7,8,6,5,4]=>[2,3,1,1,1]=>10100111=>4 [7,6,8,2,1,3,4,5]=>[2,3,1,7,8,6,5,4]=>[2,3,1,1,1]=>10100111=>4 [6,7,8,2,1,3,4,5]=>[3,2,1,7,8,6,5,4]=>[1,1,3,1,1,1]=>11100111=>2 [8,7,6,1,2,3,4,5]=>[1,2,3,8,7,6,5,4]=>[4,1,1,1,1]=>10001111=>2 [7,8,6,1,2,3,4,5]=>[2,1,3,8,7,6,5,4]=>[1,3,1,1,1,1]=>11001111=>2 [8,6,7,1,2,3,4,5]=>[1,3,2,8,7,6,5,4]=>[2,2,1,1,1,1]=>10101111=>4 [7,6,8,1,2,3,4,5]=>[2,3,1,8,7,6,5,4]=>[2,2,1,1,1,1]=>10101111=>4 [6,7,8,1,2,3,4,5]=>[3,2,1,8,7,6,5,4]=>[1,1,2,1,1,1,1]=>11101111=>2 [8,7,5,4,3,2,1,6]=>[1,2,4,5,6,7,8,3]=>[7,1]=>10000001=>2 [7,8,5,4,3,2,1,6]=>[2,1,4,5,6,7,8,3]=>[1,6,1]=>11000001=>2 [8,7,4,5,3,2,1,6]=>[1,2,5,4,6,7,8,3]=>[3,4,1]=>10010001=>4 [7,8,4,5,3,2,1,6]=>[2,1,5,4,6,7,8,3]=>[1,2,4,1]=>11010001=>4 [8,7,5,3,4,2,1,6]=>[1,2,4,6,5,7,8,3]=>[4,3,1]=>10001001=>4 [7,8,5,3,4,2,1,6]=>[2,1,4,6,5,7,8,3]=>[1,3,3,1]=>11001001=>4 [8,7,4,3,5,2,1,6]=>[1,2,5,6,4,7,8,3]=>[4,3,1]=>10001001=>4 [7,8,4,3,5,2,1,6]=>[2,1,5,6,4,7,8,3]=>[1,3,3,1]=>11001001=>4 [8,7,3,4,5,2,1,6]=>[1,2,6,5,4,7,8,3]=>[3,1,3,1]=>10011001=>4 [7,8,3,4,5,2,1,6]=>[2,1,6,5,4,7,8,3]=>[1,2,1,3,1]=>11011001=>4 [7,8,5,4,2,3,1,6]=>[2,1,4,5,7,6,8,3]=>[1,4,2,1]=>11000101=>4 [8,7,4,5,2,3,1,6]=>[1,2,5,4,7,6,8,3]=>[3,2,2,1]=>10010101=>6 [7,8,4,5,2,3,1,6]=>[2,1,5,4,7,6,8,3]=>[1,2,2,2,1]=>11010101=>6 [8,7,5,3,2,4,1,6]=>[1,2,4,6,7,5,8,3]=>[5,2,1]=>10000101=>4 [7,8,5,3,2,4,1,6]=>[2,1,4,6,7,5,8,3]=>[1,4,2,1]=>11000101=>4 [8,7,5,2,3,4,1,6]=>[1,2,4,7,6,5,8,3]=>[4,1,2,1]=>10001101=>4 [7,8,5,2,3,4,1,6]=>[2,1,4,7,6,5,8,3]=>[1,3,1,2,1]=>11001101=>4 [8,7,4,3,2,5,1,6]=>[1,2,5,6,7,4,8,3]=>[5,2,1]=>10000101=>4 [7,8,4,3,2,5,1,6]=>[2,1,5,6,7,4,8,3]=>[1,4,2,1]=>11000101=>4 [8,7,3,4,2,5,1,6]=>[1,2,6,5,7,4,8,3]=>[3,2,2,1]=>10010101=>6 [7,8,3,4,2,5,1,6]=>[2,1,6,5,7,4,8,3]=>[1,2,2,2,1]=>11010101=>6 [8,7,4,2,3,5,1,6]=>[1,2,5,7,6,4,8,3]=>[4,1,2,1]=>10001101=>4 [7,8,4,2,3,5,1,6]=>[2,1,5,7,6,4,8,3]=>[1,3,1,2,1]=>11001101=>4 [8,7,3,2,4,5,1,6]=>[1,2,6,7,5,4,8,3]=>[4,1,2,1]=>10001101=>4 [7,8,3,2,4,5,1,6]=>[2,1,6,7,5,4,8,3]=>[1,3,1,2,1]=>11001101=>4 [8,7,2,3,4,5,1,6]=>[1,2,7,6,5,4,8,3]=>[3,1,1,2,1]=>10011101=>4 [7,8,2,3,4,5,1,6]=>[2,1,7,6,5,4,8,3]=>[1,2,1,1,2,1]=>11011101=>4 [8,7,5,4,3,1,2,6]=>[1,2,4,5,6,8,7,3]=>[6,1,1]=>10000011=>2 [7,8,5,4,3,1,2,6]=>[2,1,4,5,6,8,7,3]=>[1,5,1,1]=>11000011=>2 [8,7,4,5,3,1,2,6]=>[1,2,5,4,6,8,7,3]=>[3,3,1,1]=>10010011=>4 [7,8,4,5,3,1,2,6]=>[2,1,5,4,6,8,7,3]=>[1,2,3,1,1]=>11010011=>4 [8,7,5,3,4,1,2,6]=>[1,2,4,6,5,8,7,3]=>[4,2,1,1]=>10001011=>4 [7,8,5,3,4,1,2,6]=>[2,1,4,6,5,8,7,3]=>[1,3,2,1,1]=>11001011=>4 [8,7,4,3,5,1,2,6]=>[1,2,5,6,4,8,7,3]=>[4,2,1,1]=>10001011=>4 [7,8,4,3,5,1,2,6]=>[2,1,5,6,4,8,7,3]=>[1,3,2,1,1]=>11001011=>4 [8,7,3,4,5,1,2,6]=>[1,2,6,5,4,8,7,3]=>[3,1,2,1,1]=>10011011=>4 [7,8,3,4,5,1,2,6]=>[2,1,6,5,4,8,7,3]=>[1,2,1,2,1,1]=>11011011=>4 [8,7,5,4,2,1,3,6]=>[1,2,4,5,7,8,6,3]=>[6,1,1]=>10000011=>2 [7,8,5,4,2,1,3,6]=>[2,1,4,5,7,8,6,3]=>[1,5,1,1]=>11000011=>2 [7,8,4,5,2,1,3,6]=>[2,1,5,4,7,8,6,3]=>[1,2,3,1,1]=>11010011=>4 [8,7,5,4,1,2,3,6]=>[1,2,4,5,8,7,6,3]=>[5,1,1,1]=>10000111=>2 [7,8,5,4,1,2,3,6]=>[2,1,4,5,8,7,6,3]=>[1,4,1,1,1]=>11000111=>2 [8,7,4,5,1,2,3,6]=>[1,2,5,4,8,7,6,3]=>[3,2,1,1,1]=>10010111=>4 [7,8,4,5,1,2,3,6]=>[2,1,5,4,8,7,6,3]=>[1,2,2,1,1,1]=>11010111=>4 [8,7,5,3,2,1,4,6]=>[1,2,4,6,7,8,5,3]=>[6,1,1]=>10000011=>2 [7,8,5,3,2,1,4,6]=>[2,1,4,6,7,8,5,3]=>[1,5,1,1]=>11000011=>2 [8,7,5,2,3,1,4,6]=>[1,2,4,7,6,8,5,3]=>[4,2,1,1]=>10001011=>4 [7,8,5,2,3,1,4,6]=>[2,1,4,7,6,8,5,3]=>[1,3,2,1,1]=>11001011=>4 [8,7,5,3,1,2,4,6]=>[1,2,4,6,8,7,5,3]=>[5,1,1,1]=>10000111=>2 [7,8,5,3,1,2,4,6]=>[2,1,4,6,8,7,5,3]=>[1,4,1,1,1]=>11000111=>2 [8,7,5,2,1,3,4,6]=>[1,2,4,7,8,6,5,3]=>[5,1,1,1]=>10000111=>2 [7,8,5,2,1,3,4,6]=>[2,1,4,7,8,6,5,3]=>[1,4,1,1,1]=>11000111=>2 [8,7,5,1,2,3,4,6]=>[1,2,4,8,7,6,5,3]=>[4,1,1,1,1]=>10001111=>2 [7,8,5,1,2,3,4,6]=>[2,1,4,8,7,6,5,3]=>[1,3,1,1,1,1]=>11001111=>2 [8,7,4,3,2,1,5,6]=>[1,2,5,6,7,8,4,3]=>[6,1,1]=>10000011=>2 [7,8,4,3,2,1,5,6]=>[2,1,5,6,7,8,4,3]=>[1,5,1,1]=>11000011=>2 [8,7,3,4,2,1,5,6]=>[1,2,6,5,7,8,4,3]=>[3,3,1,1]=>10010011=>4 [7,8,3,4,2,1,5,6]=>[2,1,6,5,7,8,4,3]=>[1,2,3,1,1]=>11010011=>4 [7,8,4,2,3,1,5,6]=>[2,1,5,7,6,8,4,3]=>[1,3,2,1,1]=>11001011=>4 [8,7,3,2,4,1,5,6]=>[1,2,6,7,5,8,4,3]=>[4,2,1,1]=>10001011=>4 [7,8,3,2,4,1,5,6]=>[2,1,6,7,5,8,4,3]=>[1,3,2,1,1]=>11001011=>4 [8,7,2,3,4,1,5,6]=>[1,2,7,6,5,8,4,3]=>[3,1,2,1,1]=>10011011=>4 [7,8,2,3,4,1,5,6]=>[2,1,7,6,5,8,4,3]=>[1,2,1,2,1,1]=>11011011=>4 [8,7,4,3,1,2,5,6]=>[1,2,5,6,8,7,4,3]=>[5,1,1,1]=>10000111=>2 [7,8,4,3,1,2,5,6]=>[2,1,5,6,8,7,4,3]=>[1,4,1,1,1]=>11000111=>2 [8,7,3,4,1,2,5,6]=>[1,2,6,5,8,7,4,3]=>[3,2,1,1,1]=>10010111=>4 [7,8,3,4,1,2,5,6]=>[2,1,6,5,8,7,4,3]=>[1,2,2,1,1,1]=>11010111=>4 [8,7,4,2,1,3,5,6]=>[1,2,5,7,8,6,4,3]=>[5,1,1,1]=>10000111=>2 [7,8,4,2,1,3,5,6]=>[2,1,5,7,8,6,4,3]=>[1,4,1,1,1]=>11000111=>2 [8,7,4,1,2,3,5,6]=>[1,2,5,8,7,6,4,3]=>[4,1,1,1,1]=>10001111=>2 [7,8,4,1,2,3,5,6]=>[2,1,5,8,7,6,4,3]=>[1,3,1,1,1,1]=>11001111=>2 [8,7,3,2,1,4,5,6]=>[1,2,6,7,8,5,4,3]=>[5,1,1,1]=>10000111=>2 [7,8,3,2,1,4,5,6]=>[2,1,6,7,8,5,4,3]=>[1,4,1,1,1]=>11000111=>2 [8,7,2,3,1,4,5,6]=>[1,2,7,6,8,5,4,3]=>[3,2,1,1,1]=>10010111=>4 [7,8,2,3,1,4,5,6]=>[2,1,7,6,8,5,4,3]=>[1,2,2,1,1,1]=>11010111=>4 [8,7,3,1,2,4,5,6]=>[1,2,6,8,7,5,4,3]=>[4,1,1,1,1]=>10001111=>2 [7,8,3,1,2,4,5,6]=>[2,1,6,8,7,5,4,3]=>[1,3,1,1,1,1]=>11001111=>2 [8,7,2,1,3,4,5,6]=>[1,2,7,8,6,5,4,3]=>[4,1,1,1,1]=>10001111=>2 [7,8,2,1,3,4,5,6]=>[2,1,7,8,6,5,4,3]=>[1,3,1,1,1,1]=>11001111=>2 [8,7,1,2,3,4,5,6]=>[1,2,8,7,6,5,4,3]=>[3,1,1,1,1,1]=>10011111=>2 [7,8,1,2,3,4,5,6]=>[2,1,8,7,6,5,4,3]=>[1,2,1,1,1,1,1]=>11011111=>2 [8,6,5,4,3,2,1,7]=>[1,3,4,5,6,7,8,2]=>[7,1]=>10000001=>2 [8,5,6,4,3,2,1,7]=>[1,4,3,5,6,7,8,2]=>[2,5,1]=>10100001=>4 [8,6,4,5,3,2,1,7]=>[1,3,5,4,6,7,8,2]=>[3,4,1]=>10010001=>4 [8,5,4,6,3,2,1,7]=>[1,4,5,3,6,7,8,2]=>[3,4,1]=>10010001=>4 [8,4,5,6,3,2,1,7]=>[1,5,4,3,6,7,8,2]=>[2,1,4,1]=>10110001=>4 [8,6,5,3,4,2,1,7]=>[1,3,4,6,5,7,8,2]=>[4,3,1]=>10001001=>4 [8,5,6,3,4,2,1,7]=>[1,4,3,6,5,7,8,2]=>[2,2,3,1]=>10101001=>6 [8,6,4,3,5,2,1,7]=>[1,3,5,6,4,7,8,2]=>[4,3,1]=>10001001=>4 [8,5,4,3,6,2,1,7]=>[1,4,5,6,3,7,8,2]=>[4,3,1]=>10001001=>4 [8,4,5,3,6,2,1,7]=>[1,5,4,6,3,7,8,2]=>[2,2,3,1]=>10101001=>6 [8,5,3,4,6,2,1,7]=>[1,4,6,5,3,7,8,2]=>[3,1,3,1]=>10011001=>4 [8,3,4,5,6,2,1,7]=>[1,6,5,4,3,7,8,2]=>[2,1,1,3,1]=>10111001=>4 [8,6,5,4,2,3,1,7]=>[1,3,4,5,7,6,8,2]=>[5,2,1]=>10000101=>4 [8,5,6,4,2,3,1,7]=>[1,4,3,5,7,6,8,2]=>[2,3,2,1]=>10100101=>6 [8,6,4,5,2,3,1,7]=>[1,3,5,4,7,6,8,2]=>[3,2,2,1]=>10010101=>6 [8,4,5,6,2,3,1,7]=>[1,5,4,3,7,6,8,2]=>[2,1,2,2,1]=>10110101=>6 [8,6,5,3,2,4,1,7]=>[1,3,4,6,7,5,8,2]=>[5,2,1]=>10000101=>4 [8,5,6,3,2,4,1,7]=>[1,4,3,6,7,5,8,2]=>[2,3,2,1]=>10100101=>6 [8,6,5,2,3,4,1,7]=>[1,3,4,7,6,5,8,2]=>[4,1,2,1]=>10001101=>4 [8,6,4,3,2,5,1,7]=>[1,3,5,6,7,4,8,2]=>[5,2,1]=>10000101=>4 [8,6,3,4,2,5,1,7]=>[1,3,6,5,7,4,8,2]=>[3,2,2,1]=>10010101=>6 [8,6,4,2,3,5,1,7]=>[1,3,5,7,6,4,8,2]=>[4,1,2,1]=>10001101=>4 [8,5,4,3,2,6,1,7]=>[1,4,5,6,7,3,8,2]=>[5,2,1]=>10000101=>4 [8,4,5,3,2,6,1,7]=>[1,5,4,6,7,3,8,2]=>[2,3,2,1]=>10100101=>6 [8,5,3,4,2,6,1,7]=>[1,4,6,5,7,3,8,2]=>[3,2,2,1]=>10010101=>6 [8,4,3,5,2,6,1,7]=>[1,5,6,4,7,3,8,2]=>[3,2,2,1]=>10010101=>6 [8,3,4,5,2,6,1,7]=>[1,6,5,4,7,3,8,2]=>[2,1,2,2,1]=>10110101=>6 [8,5,4,2,3,6,1,7]=>[1,4,5,7,6,3,8,2]=>[4,1,2,1]=>10001101=>4 [8,4,5,2,3,6,1,7]=>[1,5,4,7,6,3,8,2]=>[2,2,1,2,1]=>10101101=>6 [8,5,3,2,4,6,1,7]=>[1,4,6,7,5,3,8,2]=>[4,1,2,1]=>10001101=>4 [8,5,2,3,4,6,1,7]=>[1,4,7,6,5,3,8,2]=>[3,1,1,2,1]=>10011101=>4 [8,4,3,2,5,6,1,7]=>[1,5,6,7,4,3,8,2]=>[4,1,2,1]=>10001101=>4 [8,3,4,2,5,6,1,7]=>[1,6,5,7,4,3,8,2]=>[2,2,1,2,1]=>10101101=>6 [8,4,2,3,5,6,1,7]=>[1,5,7,6,4,3,8,2]=>[3,1,1,2,1]=>10011101=>4 [8,3,2,4,5,6,1,7]=>[1,6,7,5,4,3,8,2]=>[3,1,1,2,1]=>10011101=>4 [8,2,3,4,5,6,1,7]=>[1,7,6,5,4,3,8,2]=>[2,1,1,1,2,1]=>10111101=>4 [8,6,5,4,3,1,2,7]=>[1,3,4,5,6,8,7,2]=>[6,1,1]=>10000011=>2 [8,5,6,4,3,1,2,7]=>[1,4,3,5,6,8,7,2]=>[2,4,1,1]=>10100011=>4 [8,6,4,5,3,1,2,7]=>[1,3,5,4,6,8,7,2]=>[3,3,1,1]=>10010011=>4 [8,5,4,6,3,1,2,7]=>[1,4,5,3,6,8,7,2]=>[3,3,1,1]=>10010011=>4 [8,4,5,6,3,1,2,7]=>[1,5,4,3,6,8,7,2]=>[2,1,3,1,1]=>10110011=>4 [8,6,5,3,4,1,2,7]=>[1,3,4,6,5,8,7,2]=>[4,2,1,1]=>10001011=>4 [8,5,6,3,4,1,2,7]=>[1,4,3,6,5,8,7,2]=>[2,2,2,1,1]=>10101011=>6 [8,6,4,3,5,1,2,7]=>[1,3,5,6,4,8,7,2]=>[4,2,1,1]=>10001011=>4 [8,6,3,4,5,1,2,7]=>[1,3,6,5,4,8,7,2]=>[3,1,2,1,1]=>10011011=>4 [8,5,4,3,6,1,2,7]=>[1,4,5,6,3,8,7,2]=>[4,2,1,1]=>10001011=>4 [8,4,5,3,6,1,2,7]=>[1,5,4,6,3,8,7,2]=>[2,2,2,1,1]=>10101011=>6 [8,5,3,4,6,1,2,7]=>[1,4,6,5,3,8,7,2]=>[3,1,2,1,1]=>10011011=>4 [8,4,3,5,6,1,2,7]=>[1,5,6,4,3,8,7,2]=>[3,1,2,1,1]=>10011011=>4 [8,3,4,5,6,1,2,7]=>[1,6,5,4,3,8,7,2]=>[2,1,1,2,1,1]=>10111011=>4 [8,6,5,4,2,1,3,7]=>[1,3,4,5,7,8,6,2]=>[6,1,1]=>10000011=>2 [8,5,6,4,2,1,3,7]=>[1,4,3,5,7,8,6,2]=>[2,4,1,1]=>10100011=>4 [8,6,4,5,2,1,3,7]=>[1,3,5,4,7,8,6,2]=>[3,3,1,1]=>10010011=>4 [8,5,4,6,2,1,3,7]=>[1,4,5,3,7,8,6,2]=>[3,3,1,1]=>10010011=>4 [8,4,5,6,2,1,3,7]=>[1,5,4,3,7,8,6,2]=>[2,1,3,1,1]=>10110011=>4 [8,6,5,4,1,2,3,7]=>[1,3,4,5,8,7,6,2]=>[5,1,1,1]=>10000111=>2 [8,5,6,4,1,2,3,7]=>[1,4,3,5,8,7,6,2]=>[2,3,1,1,1]=>10100111=>4 [8,6,4,5,1,2,3,7]=>[1,3,5,4,8,7,6,2]=>[3,2,1,1,1]=>10010111=>4 [8,5,4,6,1,2,3,7]=>[1,4,5,3,8,7,6,2]=>[3,2,1,1,1]=>10010111=>4 [8,4,5,6,1,2,3,7]=>[1,5,4,3,8,7,6,2]=>[2,1,2,1,1,1]=>10110111=>4 [8,6,5,3,2,1,4,7]=>[1,3,4,6,7,8,5,2]=>[6,1,1]=>10000011=>2 [8,5,6,3,2,1,4,7]=>[1,4,3,6,7,8,5,2]=>[2,4,1,1]=>10100011=>4 [8,6,5,2,3,1,4,7]=>[1,3,4,7,6,8,5,2]=>[4,2,1,1]=>10001011=>4 [8,5,6,2,3,1,4,7]=>[1,4,3,7,6,8,5,2]=>[2,2,2,1,1]=>10101011=>6 [8,6,5,3,1,2,4,7]=>[1,3,4,6,8,7,5,2]=>[5,1,1,1]=>10000111=>2 [8,5,6,3,1,2,4,7]=>[1,4,3,6,8,7,5,2]=>[2,3,1,1,1]=>10100111=>4 [8,6,5,2,1,3,4,7]=>[1,3,4,7,8,6,5,2]=>[5,1,1,1]=>10000111=>2 [8,5,6,2,1,3,4,7]=>[1,4,3,7,8,6,5,2]=>[2,3,1,1,1]=>10100111=>4 [8,6,5,1,2,3,4,7]=>[1,3,4,8,7,6,5,2]=>[4,1,1,1,1]=>10001111=>2 [8,5,6,1,2,3,4,7]=>[1,4,3,8,7,6,5,2]=>[2,2,1,1,1,1]=>10101111=>4 [8,6,4,3,2,1,5,7]=>[1,3,5,6,7,8,4,2]=>[6,1,1]=>10000011=>2 [8,6,3,4,2,1,5,7]=>[1,3,6,5,7,8,4,2]=>[3,3,1,1]=>10010011=>4 [8,6,4,2,3,1,5,7]=>[1,3,5,7,6,8,4,2]=>[4,2,1,1]=>10001011=>4 [8,6,3,2,4,1,5,7]=>[1,3,6,7,5,8,4,2]=>[4,2,1,1]=>10001011=>4 [8,6,2,3,4,1,5,7]=>[1,3,7,6,5,8,4,2]=>[3,1,2,1,1]=>10011011=>4 [8,6,4,3,1,2,5,7]=>[1,3,5,6,8,7,4,2]=>[5,1,1,1]=>10000111=>2 [8,6,3,4,1,2,5,7]=>[1,3,6,5,8,7,4,2]=>[3,2,1,1,1]=>10010111=>4 [8,6,4,2,1,3,5,7]=>[1,3,5,7,8,6,4,2]=>[5,1,1,1]=>10000111=>2 [8,6,4,1,2,3,5,7]=>[1,3,5,8,7,6,4,2]=>[4,1,1,1,1]=>10001111=>2 [8,6,3,2,1,4,5,7]=>[1,3,6,7,8,5,4,2]=>[5,1,1,1]=>10000111=>2 [8,6,2,3,1,4,5,7]=>[1,3,7,6,8,5,4,2]=>[3,2,1,1,1]=>10010111=>4 [8,6,3,1,2,4,5,7]=>[1,3,6,8,7,5,4,2]=>[4,1,1,1,1]=>10001111=>2 [8,6,2,1,3,4,5,7]=>[1,3,7,8,6,5,4,2]=>[4,1,1,1,1]=>10001111=>2 [8,6,1,2,3,4,5,7]=>[1,3,8,7,6,5,4,2]=>[3,1,1,1,1,1]=>10011111=>2 [8,5,4,3,2,1,6,7]=>[1,4,5,6,7,8,3,2]=>[6,1,1]=>10000011=>2 [8,4,5,3,2,1,6,7]=>[1,5,4,6,7,8,3,2]=>[2,4,1,1]=>10100011=>4 [8,4,3,5,2,1,6,7]=>[1,5,6,4,7,8,3,2]=>[3,3,1,1]=>10010011=>4 [8,3,4,5,2,1,6,7]=>[1,6,5,4,7,8,3,2]=>[2,1,3,1,1]=>10110011=>4 [8,5,4,2,3,1,6,7]=>[1,4,5,7,6,8,3,2]=>[4,2,1,1]=>10001011=>4 [8,4,5,2,3,1,6,7]=>[1,5,4,7,6,8,3,2]=>[2,2,2,1,1]=>10101011=>6 [8,5,3,2,4,1,6,7]=>[1,4,6,7,5,8,3,2]=>[4,2,1,1]=>10001011=>4 [8,5,2,3,4,1,6,7]=>[1,4,7,6,5,8,3,2]=>[3,1,2,1,1]=>10011011=>4 [8,4,3,2,5,1,6,7]=>[1,5,6,7,4,8,3,2]=>[4,2,1,1]=>10001011=>4 [8,3,4,2,5,1,6,7]=>[1,6,5,7,4,8,3,2]=>[2,2,2,1,1]=>10101011=>6 [8,2,3,4,5,1,6,7]=>[1,7,6,5,4,8,3,2]=>[2,1,1,2,1,1]=>10111011=>4 [8,5,3,4,1,2,6,7]=>[1,4,6,5,8,7,3,2]=>[3,2,1,1,1]=>10010111=>4 [8,3,4,5,1,2,6,7]=>[1,6,5,4,8,7,3,2]=>[2,1,2,1,1,1]=>10110111=>4 [8,5,4,2,1,3,6,7]=>[1,4,5,7,8,6,3,2]=>[5,1,1,1]=>10000111=>2 [8,4,5,2,1,3,6,7]=>[1,5,4,7,8,6,3,2]=>[2,3,1,1,1]=>10100111=>4 [8,5,4,1,2,3,6,7]=>[1,4,5,8,7,6,3,2]=>[4,1,1,1,1]=>10001111=>2 [8,4,5,1,2,3,6,7]=>[1,5,4,8,7,6,3,2]=>[2,2,1,1,1,1]=>10101111=>4 [8,5,3,2,1,4,6,7]=>[1,4,6,7,8,5,3,2]=>[5,1,1,1]=>10000111=>2 [8,5,2,3,1,4,6,7]=>[1,4,7,6,8,5,3,2]=>[3,2,1,1,1]=>10010111=>4 [8,5,3,1,2,4,6,7]=>[1,4,6,8,7,5,3,2]=>[4,1,1,1,1]=>10001111=>2 [8,5,2,1,3,4,6,7]=>[1,4,7,8,6,5,3,2]=>[4,1,1,1,1]=>10001111=>2 [8,5,1,2,3,4,6,7]=>[1,4,8,7,6,5,3,2]=>[3,1,1,1,1,1]=>10011111=>2 [8,4,3,2,1,5,6,7]=>[1,5,6,7,8,4,3,2]=>[5,1,1,1]=>10000111=>2 [8,3,4,2,1,5,6,7]=>[1,6,5,7,8,4,3,2]=>[2,3,1,1,1]=>10100111=>4 [8,4,2,3,1,5,6,7]=>[1,5,7,6,8,4,3,2]=>[3,2,1,1,1]=>10010111=>4 [8,3,2,4,1,5,6,7]=>[1,6,7,5,8,4,3,2]=>[3,2,1,1,1]=>10010111=>4 [8,2,3,4,1,5,6,7]=>[1,7,6,5,8,4,3,2]=>[2,1,2,1,1,1]=>10110111=>4 [8,4,3,1,2,5,6,7]=>[1,5,6,8,7,4,3,2]=>[4,1,1,1,1]=>10001111=>2 [8,3,4,1,2,5,6,7]=>[1,6,5,8,7,4,3,2]=>[2,2,1,1,1,1]=>10101111=>4 [8,4,2,1,3,5,6,7]=>[1,5,7,8,6,4,3,2]=>[4,1,1,1,1]=>10001111=>2 [8,4,1,2,3,5,6,7]=>[1,5,8,7,6,4,3,2]=>[3,1,1,1,1,1]=>10011111=>2 [8,3,2,1,4,5,6,7]=>[1,6,7,8,5,4,3,2]=>[4,1,1,1,1]=>10001111=>2 [8,2,3,1,4,5,6,7]=>[1,7,6,8,5,4,3,2]=>[2,2,1,1,1,1]=>10101111=>4 [8,3,1,2,4,5,6,7]=>[1,6,8,7,5,4,3,2]=>[3,1,1,1,1,1]=>10011111=>2 [8,2,1,3,4,5,6,7]=>[1,7,8,6,5,4,3,2]=>[3,1,1,1,1,1]=>10011111=>2 [8,1,2,3,4,5,6,7]=>[1,8,7,6,5,4,3,2]=>[2,1,1,1,1,1,1]=>10111111=>2 [7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[7,1]=>10000001=>2 [6,7,5,4,3,2,1,8]=>[3,2,4,5,6,7,8,1]=>[1,6,1]=>11000001=>2 [7,5,6,4,3,2,1,8]=>[2,4,3,5,6,7,8,1]=>[2,5,1]=>10100001=>4 [6,5,7,4,3,2,1,8]=>[3,4,2,5,6,7,8,1]=>[2,5,1]=>10100001=>4 [5,6,7,4,3,2,1,8]=>[4,3,2,5,6,7,8,1]=>[1,1,5,1]=>11100001=>2 [7,6,4,5,3,2,1,8]=>[2,3,5,4,6,7,8,1]=>[3,4,1]=>10010001=>4 [6,7,4,5,3,2,1,8]=>[3,2,5,4,6,7,8,1]=>[1,2,4,1]=>11010001=>4 [7,5,4,6,3,2,1,8]=>[2,4,5,3,6,7,8,1]=>[3,4,1]=>10010001=>4 [7,4,5,6,3,2,1,8]=>[2,5,4,3,6,7,8,1]=>[2,1,4,1]=>10110001=>4 [6,5,4,7,3,2,1,8]=>[3,4,5,2,6,7,8,1]=>[3,4,1]=>10010001=>4 [5,6,4,7,3,2,1,8]=>[4,3,5,2,6,7,8,1]=>[1,2,4,1]=>11010001=>4 [6,4,5,7,3,2,1,8]=>[3,5,4,2,6,7,8,1]=>[2,1,4,1]=>10110001=>4 [5,4,6,7,3,2,1,8]=>[4,5,3,2,6,7,8,1]=>[2,1,4,1]=>10110001=>4 [4,5,6,7,3,2,1,8]=>[5,4,3,2,6,7,8,1]=>[1,1,1,4,1]=>11110001=>2 [7,6,5,3,4,2,1,8]=>[2,3,4,6,5,7,8,1]=>[4,3,1]=>10001001=>4 [7,5,6,3,4,2,1,8]=>[2,4,3,6,5,7,8,1]=>[2,2,3,1]=>10101001=>6 [6,5,7,3,4,2,1,8]=>[3,4,2,6,5,7,8,1]=>[2,2,3,1]=>10101001=>6 [5,6,7,3,4,2,1,8]=>[4,3,2,6,5,7,8,1]=>[1,1,2,3,1]=>11101001=>4 [7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[4,3,1]=>10001001=>4 [6,7,4,3,5,2,1,8]=>[3,2,5,6,4,7,8,1]=>[1,3,3,1]=>11001001=>4 [7,6,3,4,5,2,1,8]=>[2,3,6,5,4,7,8,1]=>[3,1,3,1]=>10011001=>4 [7,5,4,3,6,2,1,8]=>[2,4,5,6,3,7,8,1]=>[4,3,1]=>10001001=>4 [7,4,5,3,6,2,1,8]=>[2,5,4,6,3,7,8,1]=>[2,2,3,1]=>10101001=>6 [7,5,3,4,6,2,1,8]=>[2,4,6,5,3,7,8,1]=>[3,1,3,1]=>10011001=>4 [7,4,3,5,6,2,1,8]=>[2,5,6,4,3,7,8,1]=>[3,1,3,1]=>10011001=>4 [7,3,4,5,6,2,1,8]=>[2,6,5,4,3,7,8,1]=>[2,1,1,3,1]=>10111001=>4 [6,5,4,3,7,2,1,8]=>[3,4,5,6,2,7,8,1]=>[4,3,1]=>10001001=>4 [5,6,4,3,7,2,1,8]=>[4,3,5,6,2,7,8,1]=>[1,3,3,1]=>11001001=>4 [6,4,5,3,7,2,1,8]=>[3,5,4,6,2,7,8,1]=>[2,2,3,1]=>10101001=>6 [5,4,6,3,7,2,1,8]=>[4,5,3,6,2,7,8,1]=>[2,2,3,1]=>10101001=>6 [4,5,6,3,7,2,1,8]=>[5,4,3,6,2,7,8,1]=>[1,1,2,3,1]=>11101001=>4 [6,5,3,4,7,2,1,8]=>[3,4,6,5,2,7,8,1]=>[3,1,3,1]=>10011001=>4 [5,6,3,4,7,2,1,8]=>[4,3,6,5,2,7,8,1]=>[1,2,1,3,1]=>11011001=>4 [6,4,3,5,7,2,1,8]=>[3,5,6,4,2,7,8,1]=>[3,1,3,1]=>10011001=>4 [6,3,4,5,7,2,1,8]=>[3,6,5,4,2,7,8,1]=>[2,1,1,3,1]=>10111001=>4 [5,4,3,6,7,2,1,8]=>[4,5,6,3,2,7,8,1]=>[3,1,3,1]=>10011001=>4 [4,5,3,6,7,2,1,8]=>[5,4,6,3,2,7,8,1]=>[1,2,1,3,1]=>11011001=>4 [5,3,4,6,7,2,1,8]=>[4,6,5,3,2,7,8,1]=>[2,1,1,3,1]=>10111001=>4 [3,4,5,6,7,2,1,8]=>[6,5,4,3,2,7,8,1]=>[1,1,1,1,3,1]=>11111001=>2 [7,6,5,4,2,3,1,8]=>[2,3,4,5,7,6,8,1]=>[5,2,1]=>10000101=>4 [6,7,5,4,2,3,1,8]=>[3,2,4,5,7,6,8,1]=>[1,4,2,1]=>11000101=>4 [7,5,6,4,2,3,1,8]=>[2,4,3,5,7,6,8,1]=>[2,3,2,1]=>10100101=>6 [6,5,7,4,2,3,1,8]=>[3,4,2,5,7,6,8,1]=>[2,3,2,1]=>10100101=>6 [5,6,7,4,2,3,1,8]=>[4,3,2,5,7,6,8,1]=>[1,1,3,2,1]=>11100101=>4 [7,6,4,5,2,3,1,8]=>[2,3,5,4,7,6,8,1]=>[3,2,2,1]=>10010101=>6 [6,7,4,5,2,3,1,8]=>[3,2,5,4,7,6,8,1]=>[1,2,2,2,1]=>11010101=>6 [7,5,4,6,2,3,1,8]=>[2,4,5,3,7,6,8,1]=>[3,2,2,1]=>10010101=>6 [7,4,5,6,2,3,1,8]=>[2,5,4,3,7,6,8,1]=>[2,1,2,2,1]=>10110101=>6 [6,5,4,7,2,3,1,8]=>[3,4,5,2,7,6,8,1]=>[3,2,2,1]=>10010101=>6 [5,6,4,7,2,3,1,8]=>[4,3,5,2,7,6,8,1]=>[1,2,2,2,1]=>11010101=>6 [6,4,5,7,2,3,1,8]=>[3,5,4,2,7,6,8,1]=>[2,1,2,2,1]=>10110101=>6 [5,4,6,7,2,3,1,8]=>[4,5,3,2,7,6,8,1]=>[2,1,2,2,1]=>10110101=>6 [4,5,6,7,2,3,1,8]=>[5,4,3,2,7,6,8,1]=>[1,1,1,2,2,1]=>11110101=>4 [7,6,5,3,2,4,1,8]=>[2,3,4,6,7,5,8,1]=>[5,2,1]=>10000101=>4 [6,7,5,3,2,4,1,8]=>[3,2,4,6,7,5,8,1]=>[1,4,2,1]=>11000101=>4 [7,5,6,3,2,4,1,8]=>[2,4,3,6,7,5,8,1]=>[2,3,2,1]=>10100101=>6 [6,5,7,3,2,4,1,8]=>[3,4,2,6,7,5,8,1]=>[2,3,2,1]=>10100101=>6 [5,6,7,3,2,4,1,8]=>[4,3,2,6,7,5,8,1]=>[1,1,3,2,1]=>11100101=>4 [7,6,5,2,3,4,1,8]=>[2,3,4,7,6,5,8,1]=>[4,1,2,1]=>10001101=>4 [6,7,5,2,3,4,1,8]=>[3,2,4,7,6,5,8,1]=>[1,3,1,2,1]=>11001101=>4 [7,5,6,2,3,4,1,8]=>[2,4,3,7,6,5,8,1]=>[2,2,1,2,1]=>10101101=>6 [6,5,7,2,3,4,1,8]=>[3,4,2,7,6,5,8,1]=>[2,2,1,2,1]=>10101101=>6 [5,6,7,2,3,4,1,8]=>[4,3,2,7,6,5,8,1]=>[1,1,2,1,2,1]=>11101101=>4 [7,6,4,3,2,5,1,8]=>[2,3,5,6,7,4,8,1]=>[5,2,1]=>10000101=>4 [6,7,4,3,2,5,1,8]=>[3,2,5,6,7,4,8,1]=>[1,4,2,1]=>11000101=>4 [6,7,3,4,2,5,1,8]=>[3,2,6,5,7,4,8,1]=>[1,2,2,2,1]=>11010101=>6 [7,6,4,2,3,5,1,8]=>[2,3,5,7,6,4,8,1]=>[4,1,2,1]=>10001101=>4 [6,7,4,2,3,5,1,8]=>[3,2,5,7,6,4,8,1]=>[1,3,1,2,1]=>11001101=>4 [7,6,3,2,4,5,1,8]=>[2,3,6,7,5,4,8,1]=>[4,1,2,1]=>10001101=>4 [6,7,3,2,4,5,1,8]=>[3,2,6,7,5,4,8,1]=>[1,3,1,2,1]=>11001101=>4 [7,6,2,3,4,5,1,8]=>[2,3,7,6,5,4,8,1]=>[3,1,1,2,1]=>10011101=>4 [6,7,2,3,4,5,1,8]=>[3,2,7,6,5,4,8,1]=>[1,2,1,1,2,1]=>11011101=>4 [7,5,4,3,2,6,1,8]=>[2,4,5,6,7,3,8,1]=>[5,2,1]=>10000101=>4 [7,4,5,3,2,6,1,8]=>[2,5,4,6,7,3,8,1]=>[2,3,2,1]=>10100101=>6 [7,5,3,4,2,6,1,8]=>[2,4,6,5,7,3,8,1]=>[3,2,2,1]=>10010101=>6 [7,4,3,5,2,6,1,8]=>[2,5,6,4,7,3,8,1]=>[3,2,2,1]=>10010101=>6 [7,5,4,2,3,6,1,8]=>[2,4,5,7,6,3,8,1]=>[4,1,2,1]=>10001101=>4 [7,4,5,2,3,6,1,8]=>[2,5,4,7,6,3,8,1]=>[2,2,1,2,1]=>10101101=>6 [7,5,3,2,4,6,1,8]=>[2,4,6,7,5,3,8,1]=>[4,1,2,1]=>10001101=>4 [7,5,2,3,4,6,1,8]=>[2,4,7,6,5,3,8,1]=>[3,1,1,2,1]=>10011101=>4 [7,4,3,2,5,6,1,8]=>[2,5,6,7,4,3,8,1]=>[4,1,2,1]=>10001101=>4 [7,3,4,2,5,6,1,8]=>[2,6,5,7,4,3,8,1]=>[2,2,1,2,1]=>10101101=>6 [7,4,2,3,5,6,1,8]=>[2,5,7,6,4,3,8,1]=>[3,1,1,2,1]=>10011101=>4 [7,2,3,4,5,6,1,8]=>[2,7,6,5,4,3,8,1]=>[2,1,1,1,2,1]=>10111101=>4 [6,5,4,3,2,7,1,8]=>[3,4,5,6,7,2,8,1]=>[5,2,1]=>10000101=>4 [6,4,5,3,2,7,1,8]=>[3,5,4,6,7,2,8,1]=>[2,3,2,1]=>10100101=>6 [5,4,6,3,2,7,1,8]=>[4,5,3,6,7,2,8,1]=>[2,3,2,1]=>10100101=>6 [4,5,6,3,2,7,1,8]=>[5,4,3,6,7,2,8,1]=>[1,1,3,2,1]=>11100101=>4 [6,5,3,4,2,7,1,8]=>[3,4,6,5,7,2,8,1]=>[3,2,2,1]=>10010101=>6 [5,6,3,4,2,7,1,8]=>[4,3,6,5,7,2,8,1]=>[1,2,2,2,1]=>11010101=>6 [6,4,3,5,2,7,1,8]=>[3,5,6,4,7,2,8,1]=>[3,2,2,1]=>10010101=>6 [6,3,4,5,2,7,1,8]=>[3,6,5,4,7,2,8,1]=>[2,1,2,2,1]=>10110101=>6 [5,4,3,6,2,7,1,8]=>[4,5,6,3,7,2,8,1]=>[3,2,2,1]=>10010101=>6 [4,5,3,6,2,7,1,8]=>[5,4,6,3,7,2,8,1]=>[1,2,2,2,1]=>11010101=>6 [5,3,4,6,2,7,1,8]=>[4,6,5,3,7,2,8,1]=>[2,1,2,2,1]=>10110101=>6 [4,3,5,6,2,7,1,8]=>[5,6,4,3,7,2,8,1]=>[2,1,2,2,1]=>10110101=>6 [3,4,5,6,2,7,1,8]=>[6,5,4,3,7,2,8,1]=>[1,1,1,2,2,1]=>11110101=>4 [6,5,4,2,3,7,1,8]=>[3,4,5,7,6,2,8,1]=>[4,1,2,1]=>10001101=>4 [5,6,4,2,3,7,1,8]=>[4,3,5,7,6,2,8,1]=>[1,3,1,2,1]=>11001101=>4 [6,4,5,2,3,7,1,8]=>[3,5,4,7,6,2,8,1]=>[2,2,1,2,1]=>10101101=>6 [5,4,6,2,3,7,1,8]=>[4,5,3,7,6,2,8,1]=>[2,2,1,2,1]=>10101101=>6 [4,5,6,2,3,7,1,8]=>[5,4,3,7,6,2,8,1]=>[1,1,2,1,2,1]=>11101101=>4 [6,5,3,2,4,7,1,8]=>[3,4,6,7,5,2,8,1]=>[4,1,2,1]=>10001101=>4 [5,6,3,2,4,7,1,8]=>[4,3,6,7,5,2,8,1]=>[1,3,1,2,1]=>11001101=>4 [6,5,2,3,4,7,1,8]=>[3,4,7,6,5,2,8,1]=>[3,1,1,2,1]=>10011101=>4 [5,6,2,3,4,7,1,8]=>[4,3,7,6,5,2,8,1]=>[1,2,1,1,2,1]=>11011101=>4 [6,4,3,2,5,7,1,8]=>[3,5,6,7,4,2,8,1]=>[4,1,2,1]=>10001101=>4 [6,3,4,2,5,7,1,8]=>[3,6,5,7,4,2,8,1]=>[2,2,1,2,1]=>10101101=>6 [6,4,2,3,5,7,1,8]=>[3,5,7,6,4,2,8,1]=>[3,1,1,2,1]=>10011101=>4 [6,3,2,4,5,7,1,8]=>[3,6,7,5,4,2,8,1]=>[3,1,1,2,1]=>10011101=>4 [6,2,3,4,5,7,1,8]=>[3,7,6,5,4,2,8,1]=>[2,1,1,1,2,1]=>10111101=>4 [5,4,3,2,6,7,1,8]=>[4,5,6,7,3,2,8,1]=>[4,1,2,1]=>10001101=>4 [4,5,3,2,6,7,1,8]=>[5,4,6,7,3,2,8,1]=>[1,3,1,2,1]=>11001101=>4 [5,3,4,2,6,7,1,8]=>[4,6,5,7,3,2,8,1]=>[2,2,1,2,1]=>10101101=>6 [4,3,5,2,6,7,1,8]=>[5,6,4,7,3,2,8,1]=>[2,2,1,2,1]=>10101101=>6 [3,4,5,2,6,7,1,8]=>[6,5,4,7,3,2,8,1]=>[1,1,2,1,2,1]=>11101101=>4 [5,4,2,3,6,7,1,8]=>[4,5,7,6,3,2,8,1]=>[3,1,1,2,1]=>10011101=>4 [4,5,2,3,6,7,1,8]=>[5,4,7,6,3,2,8,1]=>[1,2,1,1,2,1]=>11011101=>4 [5,3,2,4,6,7,1,8]=>[4,6,7,5,3,2,8,1]=>[3,1,1,2,1]=>10011101=>4 [5,2,3,4,6,7,1,8]=>[4,7,6,5,3,2,8,1]=>[2,1,1,1,2,1]=>10111101=>4 [4,3,2,5,6,7,1,8]=>[5,6,7,4,3,2,8,1]=>[3,1,1,2,1]=>10011101=>4 [3,4,2,5,6,7,1,8]=>[6,5,7,4,3,2,8,1]=>[1,2,1,1,2,1]=>11011101=>4 [4,2,3,5,6,7,1,8]=>[5,7,6,4,3,2,8,1]=>[2,1,1,1,2,1]=>10111101=>4 [3,2,4,5,6,7,1,8]=>[6,7,5,4,3,2,8,1]=>[2,1,1,1,2,1]=>10111101=>4 [2,3,4,5,6,7,1,8]=>[7,6,5,4,3,2,8,1]=>[1,1,1,1,1,2,1]=>11111101=>2 [7,6,5,4,3,1,2,8]=>[2,3,4,5,6,8,7,1]=>[6,1,1]=>10000011=>2 [6,7,5,4,3,1,2,8]=>[3,2,4,5,6,8,7,1]=>[1,5,1,1]=>11000011=>2 [7,5,6,4,3,1,2,8]=>[2,4,3,5,6,8,7,1]=>[2,4,1,1]=>10100011=>4 [6,5,7,4,3,1,2,8]=>[3,4,2,5,6,8,7,1]=>[2,4,1,1]=>10100011=>4 [5,6,7,4,3,1,2,8]=>[4,3,2,5,6,8,7,1]=>[1,1,4,1,1]=>11100011=>2 [6,7,4,5,3,1,2,8]=>[3,2,5,4,6,8,7,1]=>[1,2,3,1,1]=>11010011=>4 [7,5,4,6,3,1,2,8]=>[2,4,5,3,6,8,7,1]=>[3,3,1,1]=>10010011=>4 [7,4,5,6,3,1,2,8]=>[2,5,4,3,6,8,7,1]=>[2,1,3,1,1]=>10110011=>4 [6,5,4,7,3,1,2,8]=>[3,4,5,2,6,8,7,1]=>[3,3,1,1]=>10010011=>4 [5,6,4,7,3,1,2,8]=>[4,3,5,2,6,8,7,1]=>[1,2,3,1,1]=>11010011=>4 [6,4,5,7,3,1,2,8]=>[3,5,4,2,6,8,7,1]=>[2,1,3,1,1]=>10110011=>4 [5,4,6,7,3,1,2,8]=>[4,5,3,2,6,8,7,1]=>[2,1,3,1,1]=>10110011=>4 [4,5,6,7,3,1,2,8]=>[5,4,3,2,6,8,7,1]=>[1,1,1,3,1,1]=>11110011=>2 [7,6,5,3,4,1,2,8]=>[2,3,4,6,5,8,7,1]=>[4,2,1,1]=>10001011=>4 [6,7,5,3,4,1,2,8]=>[3,2,4,6,5,8,7,1]=>[1,3,2,1,1]=>11001011=>4 [7,5,6,3,4,1,2,8]=>[2,4,3,6,5,8,7,1]=>[2,2,2,1,1]=>10101011=>6 [6,5,7,3,4,1,2,8]=>[3,4,2,6,5,8,7,1]=>[2,2,2,1,1]=>10101011=>6 [5,6,7,3,4,1,2,8]=>[4,3,2,6,5,8,7,1]=>[1,1,2,2,1,1]=>11101011=>4 [7,6,4,3,5,1,2,8]=>[2,3,5,6,4,8,7,1]=>[4,2,1,1]=>10001011=>4 [6,7,3,4,5,1,2,8]=>[3,2,6,5,4,8,7,1]=>[1,2,1,2,1,1]=>11011011=>4 [7,5,4,3,6,1,2,8]=>[2,4,5,6,3,8,7,1]=>[4,2,1,1]=>10001011=>4 [7,5,3,4,6,1,2,8]=>[2,4,6,5,3,8,7,1]=>[3,1,2,1,1]=>10011011=>4 [7,3,4,5,6,1,2,8]=>[2,6,5,4,3,8,7,1]=>[2,1,1,2,1,1]=>10111011=>4 [6,5,4,3,7,1,2,8]=>[3,4,5,6,2,8,7,1]=>[4,2,1,1]=>10001011=>4 [6,4,5,3,7,1,2,8]=>[3,5,4,6,2,8,7,1]=>[2,2,2,1,1]=>10101011=>6 [5,4,6,3,7,1,2,8]=>[4,5,3,6,2,8,7,1]=>[2,2,2,1,1]=>10101011=>6 [4,5,6,3,7,1,2,8]=>[5,4,3,6,2,8,7,1]=>[1,1,2,2,1,1]=>11101011=>4 [5,6,3,4,7,1,2,8]=>[4,3,6,5,2,8,7,1]=>[1,2,1,2,1,1]=>11011011=>4 [6,4,3,5,7,1,2,8]=>[3,5,6,4,2,8,7,1]=>[3,1,2,1,1]=>10011011=>4 [6,3,4,5,7,1,2,8]=>[3,6,5,4,2,8,7,1]=>[2,1,1,2,1,1]=>10111011=>4 [5,4,3,6,7,1,2,8]=>[4,5,6,3,2,8,7,1]=>[3,1,2,1,1]=>10011011=>4 [4,5,3,6,7,1,2,8]=>[5,4,6,3,2,8,7,1]=>[1,2,1,2,1,1]=>11011011=>4 [5,3,4,6,7,1,2,8]=>[4,6,5,3,2,8,7,1]=>[2,1,1,2,1,1]=>10111011=>4 [4,3,5,6,7,1,2,8]=>[5,6,4,3,2,8,7,1]=>[2,1,1,2,1,1]=>10111011=>4 [3,4,5,6,7,1,2,8]=>[6,5,4,3,2,8,7,1]=>[1,1,1,1,2,1,1]=>11111011=>2 [7,6,5,4,2,1,3,8]=>[2,3,4,5,7,8,6,1]=>[6,1,1]=>10000011=>2 [6,7,5,4,2,1,3,8]=>[3,2,4,5,7,8,6,1]=>[1,5,1,1]=>11000011=>2 [7,5,6,4,2,1,3,8]=>[2,4,3,5,7,8,6,1]=>[2,4,1,1]=>10100011=>4 [6,5,7,4,2,1,3,8]=>[3,4,2,5,7,8,6,1]=>[2,4,1,1]=>10100011=>4 [5,6,7,4,2,1,3,8]=>[4,3,2,5,7,8,6,1]=>[1,1,4,1,1]=>11100011=>2 [7,6,4,5,2,1,3,8]=>[2,3,5,4,7,8,6,1]=>[3,3,1,1]=>10010011=>4 [6,7,4,5,2,1,3,8]=>[3,2,5,4,7,8,6,1]=>[1,2,3,1,1]=>11010011=>4 [7,5,4,6,2,1,3,8]=>[2,4,5,3,7,8,6,1]=>[3,3,1,1]=>10010011=>4 [7,4,5,6,2,1,3,8]=>[2,5,4,3,7,8,6,1]=>[2,1,3,1,1]=>10110011=>4 [6,5,4,7,2,1,3,8]=>[3,4,5,2,7,8,6,1]=>[3,3,1,1]=>10010011=>4 [5,4,6,7,2,1,3,8]=>[4,5,3,2,7,8,6,1]=>[2,1,3,1,1]=>10110011=>4 [4,5,6,7,2,1,3,8]=>[5,4,3,2,7,8,6,1]=>[1,1,1,3,1,1]=>11110011=>2 [7,6,5,4,1,2,3,8]=>[2,3,4,5,8,7,6,1]=>[5,1,1,1]=>10000111=>2 [7,5,6,4,1,2,3,8]=>[2,4,3,5,8,7,6,1]=>[2,3,1,1,1]=>10100111=>4 [6,5,7,4,1,2,3,8]=>[3,4,2,5,8,7,6,1]=>[2,3,1,1,1]=>10100111=>4 [5,6,7,4,1,2,3,8]=>[4,3,2,5,8,7,6,1]=>[1,1,3,1,1,1]=>11100111=>2 [7,6,4,5,1,2,3,8]=>[2,3,5,4,8,7,6,1]=>[3,2,1,1,1]=>10010111=>4 [7,5,4,6,1,2,3,8]=>[2,4,5,3,8,7,6,1]=>[3,2,1,1,1]=>10010111=>4 [7,4,5,6,1,2,3,8]=>[2,5,4,3,8,7,6,1]=>[2,1,2,1,1,1]=>10110111=>4 [6,5,4,7,1,2,3,8]=>[3,4,5,2,8,7,6,1]=>[3,2,1,1,1]=>10010111=>4 [5,4,6,7,1,2,3,8]=>[4,5,3,2,8,7,6,1]=>[2,1,2,1,1,1]=>10110111=>4 [4,5,6,7,1,2,3,8]=>[5,4,3,2,8,7,6,1]=>[1,1,1,2,1,1,1]=>11110111=>2 [7,6,5,3,2,1,4,8]=>[2,3,4,6,7,8,5,1]=>[6,1,1]=>10000011=>2 [6,7,5,3,2,1,4,8]=>[3,2,4,6,7,8,5,1]=>[1,5,1,1]=>11000011=>2 [7,5,6,3,2,1,4,8]=>[2,4,3,6,7,8,5,1]=>[2,4,1,1]=>10100011=>4 [6,5,7,3,2,1,4,8]=>[3,4,2,6,7,8,5,1]=>[2,4,1,1]=>10100011=>4 [5,6,7,3,2,1,4,8]=>[4,3,2,6,7,8,5,1]=>[1,1,4,1,1]=>11100011=>2 [7,6,5,2,3,1,4,8]=>[2,3,4,7,6,8,5,1]=>[4,2,1,1]=>10001011=>4 [6,7,5,2,3,1,4,8]=>[3,2,4,7,6,8,5,1]=>[1,3,2,1,1]=>11001011=>4 [7,5,6,2,3,1,4,8]=>[2,4,3,7,6,8,5,1]=>[2,2,2,1,1]=>10101011=>6 [6,5,7,2,3,1,4,8]=>[3,4,2,7,6,8,5,1]=>[2,2,2,1,1]=>10101011=>6 [7,6,5,3,1,2,4,8]=>[2,3,4,6,8,7,5,1]=>[5,1,1,1]=>10000111=>2 [7,5,6,3,1,2,4,8]=>[2,4,3,6,8,7,5,1]=>[2,3,1,1,1]=>10100111=>4 [6,5,7,3,1,2,4,8]=>[3,4,2,6,8,7,5,1]=>[2,3,1,1,1]=>10100111=>4 [5,6,7,3,1,2,4,8]=>[4,3,2,6,8,7,5,1]=>[1,1,3,1,1,1]=>11100111=>2 [7,6,5,2,1,3,4,8]=>[2,3,4,7,8,6,5,1]=>[5,1,1,1]=>10000111=>2 [6,7,5,2,1,3,4,8]=>[3,2,4,7,8,6,5,1]=>[1,4,1,1,1]=>11000111=>2 [7,5,6,2,1,3,4,8]=>[2,4,3,7,8,6,5,1]=>[2,3,1,1,1]=>10100111=>4 [6,5,7,2,1,3,4,8]=>[3,4,2,7,8,6,5,1]=>[2,3,1,1,1]=>10100111=>4 [5,6,7,2,1,3,4,8]=>[4,3,2,7,8,6,5,1]=>[1,1,3,1,1,1]=>11100111=>2 [7,6,5,1,2,3,4,8]=>[2,3,4,8,7,6,5,1]=>[4,1,1,1,1]=>10001111=>2 [6,7,5,1,2,3,4,8]=>[3,2,4,8,7,6,5,1]=>[1,3,1,1,1,1]=>11001111=>2 [7,5,6,1,2,3,4,8]=>[2,4,3,8,7,6,5,1]=>[2,2,1,1,1,1]=>10101111=>4 [6,5,7,1,2,3,4,8]=>[3,4,2,8,7,6,5,1]=>[2,2,1,1,1,1]=>10101111=>4 [5,6,7,1,2,3,4,8]=>[4,3,2,8,7,6,5,1]=>[1,1,2,1,1,1,1]=>11101111=>2 [7,6,4,3,2,1,5,8]=>[2,3,5,6,7,8,4,1]=>[6,1,1]=>10000011=>2 [6,7,4,3,2,1,5,8]=>[3,2,5,6,7,8,4,1]=>[1,5,1,1]=>11000011=>2 [7,6,3,4,2,1,5,8]=>[2,3,6,5,7,8,4,1]=>[3,3,1,1]=>10010011=>4 [6,7,3,4,2,1,5,8]=>[3,2,6,5,7,8,4,1]=>[1,2,3,1,1]=>11010011=>4 [7,6,4,2,3,1,5,8]=>[2,3,5,7,6,8,4,1]=>[4,2,1,1]=>10001011=>4 [6,7,4,2,3,1,5,8]=>[3,2,5,7,6,8,4,1]=>[1,3,2,1,1]=>11001011=>4 [7,6,3,2,4,1,5,8]=>[2,3,6,7,5,8,4,1]=>[4,2,1,1]=>10001011=>4 [6,7,3,2,4,1,5,8]=>[3,2,6,7,5,8,4,1]=>[1,3,2,1,1]=>11001011=>4 [7,6,2,3,4,1,5,8]=>[2,3,7,6,5,8,4,1]=>[3,1,2,1,1]=>10011011=>4 [6,7,2,3,4,1,5,8]=>[3,2,7,6,5,8,4,1]=>[1,2,1,2,1,1]=>11011011=>4 [7,6,4,3,1,2,5,8]=>[2,3,5,6,8,7,4,1]=>[5,1,1,1]=>10000111=>2 [6,7,4,3,1,2,5,8]=>[3,2,5,6,8,7,4,1]=>[1,4,1,1,1]=>11000111=>2 [7,6,3,4,1,2,5,8]=>[2,3,6,5,8,7,4,1]=>[3,2,1,1,1]=>10010111=>4 [6,7,3,4,1,2,5,8]=>[3,2,6,5,8,7,4,1]=>[1,2,2,1,1,1]=>11010111=>4 [7,6,4,2,1,3,5,8]=>[2,3,5,7,8,6,4,1]=>[5,1,1,1]=>10000111=>2 [6,7,4,2,1,3,5,8]=>[3,2,5,7,8,6,4,1]=>[1,4,1,1,1]=>11000111=>2 [6,7,4,1,2,3,5,8]=>[3,2,5,8,7,6,4,1]=>[1,3,1,1,1,1]=>11001111=>2 [7,6,3,2,1,4,5,8]=>[2,3,6,7,8,5,4,1]=>[5,1,1,1]=>10000111=>2 [7,6,2,3,1,4,5,8]=>[2,3,7,6,8,5,4,1]=>[3,2,1,1,1]=>10010111=>4 [6,7,2,3,1,4,5,8]=>[3,2,7,6,8,5,4,1]=>[1,2,2,1,1,1]=>11010111=>4 [7,6,3,1,2,4,5,8]=>[2,3,6,8,7,5,4,1]=>[4,1,1,1,1]=>10001111=>2 [6,7,3,1,2,4,5,8]=>[3,2,6,8,7,5,4,1]=>[1,3,1,1,1,1]=>11001111=>2 [7,6,2,1,3,4,5,8]=>[2,3,7,8,6,5,4,1]=>[4,1,1,1,1]=>10001111=>2 [6,7,2,1,3,4,5,8]=>[3,2,7,8,6,5,4,1]=>[1,3,1,1,1,1]=>11001111=>2 [7,6,1,2,3,4,5,8]=>[2,3,8,7,6,5,4,1]=>[3,1,1,1,1,1]=>10011111=>2 [6,7,1,2,3,4,5,8]=>[3,2,8,7,6,5,4,1]=>[1,2,1,1,1,1,1]=>11011111=>2 [7,5,4,3,2,1,6,8]=>[2,4,5,6,7,8,3,1]=>[6,1,1]=>10000011=>2 [7,4,5,3,2,1,6,8]=>[2,5,4,6,7,8,3,1]=>[2,4,1,1]=>10100011=>4 [7,5,3,4,2,1,6,8]=>[2,4,6,5,7,8,3,1]=>[3,3,1,1]=>10010011=>4 [7,4,3,5,2,1,6,8]=>[2,5,6,4,7,8,3,1]=>[3,3,1,1]=>10010011=>4 [7,3,4,5,2,1,6,8]=>[2,6,5,4,7,8,3,1]=>[2,1,3,1,1]=>10110011=>4 [7,4,5,2,3,1,6,8]=>[2,5,4,7,6,8,3,1]=>[2,2,2,1,1]=>10101011=>6 [7,5,3,2,4,1,6,8]=>[2,4,6,7,5,8,3,1]=>[4,2,1,1]=>10001011=>4 [7,5,2,3,4,1,6,8]=>[2,4,7,6,5,8,3,1]=>[3,1,2,1,1]=>10011011=>4 [7,4,3,2,5,1,6,8]=>[2,5,6,7,4,8,3,1]=>[4,2,1,1]=>10001011=>4 [7,3,4,2,5,1,6,8]=>[2,6,5,7,4,8,3,1]=>[2,2,2,1,1]=>10101011=>6 [7,4,2,3,5,1,6,8]=>[2,5,7,6,4,8,3,1]=>[3,1,2,1,1]=>10011011=>4 [7,3,2,4,5,1,6,8]=>[2,6,7,5,4,8,3,1]=>[3,1,2,1,1]=>10011011=>4 [7,2,3,4,5,1,6,8]=>[2,7,6,5,4,8,3,1]=>[2,1,1,2,1,1]=>10111011=>4 [7,5,3,4,1,2,6,8]=>[2,4,6,5,8,7,3,1]=>[3,2,1,1,1]=>10010111=>4 [7,4,3,5,1,2,6,8]=>[2,5,6,4,8,7,3,1]=>[3,2,1,1,1]=>10010111=>4 [7,3,4,5,1,2,6,8]=>[2,6,5,4,8,7,3,1]=>[2,1,2,1,1,1]=>10110111=>4 [7,5,4,2,1,3,6,8]=>[2,4,5,7,8,6,3,1]=>[5,1,1,1]=>10000111=>2 [7,4,5,2,1,3,6,8]=>[2,5,4,7,8,6,3,1]=>[2,3,1,1,1]=>10100111=>4 [7,4,5,1,2,3,6,8]=>[2,5,4,8,7,6,3,1]=>[2,2,1,1,1,1]=>10101111=>4 [7,5,3,2,1,4,6,8]=>[2,4,6,7,8,5,3,1]=>[5,1,1,1]=>10000111=>2 [7,5,3,1,2,4,6,8]=>[2,4,6,8,7,5,3,1]=>[4,1,1,1,1]=>10001111=>2 [7,5,2,1,3,4,6,8]=>[2,4,7,8,6,5,3,1]=>[4,1,1,1,1]=>10001111=>2 [7,5,1,2,3,4,6,8]=>[2,4,8,7,6,5,3,1]=>[3,1,1,1,1,1]=>10011111=>2 [7,4,3,2,1,5,6,8]=>[2,5,6,7,8,4,3,1]=>[5,1,1,1]=>10000111=>2 [7,3,4,2,1,5,6,8]=>[2,6,5,7,8,4,3,1]=>[2,3,1,1,1]=>10100111=>4 [7,4,2,3,1,5,6,8]=>[2,5,7,6,8,4,3,1]=>[3,2,1,1,1]=>10010111=>4 [7,3,2,4,1,5,6,8]=>[2,6,7,5,8,4,3,1]=>[3,2,1,1,1]=>10010111=>4 [7,2,3,4,1,5,6,8]=>[2,7,6,5,8,4,3,1]=>[2,1,2,1,1,1]=>10110111=>4 [7,4,3,1,2,5,6,8]=>[2,5,6,8,7,4,3,1]=>[4,1,1,1,1]=>10001111=>2 [7,3,4,1,2,5,6,8]=>[2,6,5,8,7,4,3,1]=>[2,2,1,1,1,1]=>10101111=>4 [7,4,2,1,3,5,6,8]=>[2,5,7,8,6,4,3,1]=>[4,1,1,1,1]=>10001111=>2 [7,4,1,2,3,5,6,8]=>[2,5,8,7,6,4,3,1]=>[3,1,1,1,1,1]=>10011111=>2 [7,3,2,1,4,5,6,8]=>[2,6,7,8,5,4,3,1]=>[4,1,1,1,1]=>10001111=>2 [7,2,3,1,4,5,6,8]=>[2,7,6,8,5,4,3,1]=>[2,2,1,1,1,1]=>10101111=>4 [7,3,1,2,4,5,6,8]=>[2,6,8,7,5,4,3,1]=>[3,1,1,1,1,1]=>10011111=>2 [7,2,1,3,4,5,6,8]=>[2,7,8,6,5,4,3,1]=>[3,1,1,1,1,1]=>10011111=>2 [7,1,2,3,4,5,6,8]=>[2,8,7,6,5,4,3,1]=>[2,1,1,1,1,1,1]=>10111111=>2 [6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[6,1,1]=>10000011=>2 [5,6,4,3,2,1,7,8]=>[4,3,5,6,7,8,2,1]=>[1,5,1,1]=>11000011=>2 [6,4,5,3,2,1,7,8]=>[3,5,4,6,7,8,2,1]=>[2,4,1,1]=>10100011=>4 [5,4,6,3,2,1,7,8]=>[4,5,3,6,7,8,2,1]=>[2,4,1,1]=>10100011=>4 [4,5,6,3,2,1,7,8]=>[5,4,3,6,7,8,2,1]=>[1,1,4,1,1]=>11100011=>2 [6,5,3,4,2,1,7,8]=>[3,4,6,5,7,8,2,1]=>[3,3,1,1]=>10010011=>4 [5,6,3,4,2,1,7,8]=>[4,3,6,5,7,8,2,1]=>[1,2,3,1,1]=>11010011=>4 [6,4,3,5,2,1,7,8]=>[3,5,6,4,7,8,2,1]=>[3,3,1,1]=>10010011=>4 [6,3,4,5,2,1,7,8]=>[3,6,5,4,7,8,2,1]=>[2,1,3,1,1]=>10110011=>4 [5,4,3,6,2,1,7,8]=>[4,5,6,3,7,8,2,1]=>[3,3,1,1]=>10010011=>4 [4,5,3,6,2,1,7,8]=>[5,4,6,3,7,8,2,1]=>[1,2,3,1,1]=>11010011=>4 [5,3,4,6,2,1,7,8]=>[4,6,5,3,7,8,2,1]=>[2,1,3,1,1]=>10110011=>4 [4,3,5,6,2,1,7,8]=>[5,6,4,3,7,8,2,1]=>[2,1,3,1,1]=>10110011=>4 [3,4,5,6,2,1,7,8]=>[6,5,4,3,7,8,2,1]=>[1,1,1,3,1,1]=>11110011=>2 [6,5,4,2,3,1,7,8]=>[3,4,5,7,6,8,2,1]=>[4,2,1,1]=>10001011=>4 [5,6,4,2,3,1,7,8]=>[4,3,5,7,6,8,2,1]=>[1,3,2,1,1]=>11001011=>4 [6,4,5,2,3,1,7,8]=>[3,5,4,7,6,8,2,1]=>[2,2,2,1,1]=>10101011=>6 [5,4,6,2,3,1,7,8]=>[4,5,3,7,6,8,2,1]=>[2,2,2,1,1]=>10101011=>6 [4,5,6,2,3,1,7,8]=>[5,4,3,7,6,8,2,1]=>[1,1,2,2,1,1]=>11101011=>4 [6,5,3,2,4,1,7,8]=>[3,4,6,7,5,8,2,1]=>[4,2,1,1]=>10001011=>4 [5,6,3,2,4,1,7,8]=>[4,3,6,7,5,8,2,1]=>[1,3,2,1,1]=>11001011=>4 [6,5,2,3,4,1,7,8]=>[3,4,7,6,5,8,2,1]=>[3,1,2,1,1]=>10011011=>4 [5,6,2,3,4,1,7,8]=>[4,3,7,6,5,8,2,1]=>[1,2,1,2,1,1]=>11011011=>4 [6,4,3,2,5,1,7,8]=>[3,5,6,7,4,8,2,1]=>[4,2,1,1]=>10001011=>4 [6,3,4,2,5,1,7,8]=>[3,6,5,7,4,8,2,1]=>[2,2,2,1,1]=>10101011=>6 [6,4,2,3,5,1,7,8]=>[3,5,7,6,4,8,2,1]=>[3,1,2,1,1]=>10011011=>4 [6,3,2,4,5,1,7,8]=>[3,6,7,5,4,8,2,1]=>[3,1,2,1,1]=>10011011=>4 [6,2,3,4,5,1,7,8]=>[3,7,6,5,4,8,2,1]=>[2,1,1,2,1,1]=>10111011=>4 [5,4,3,2,6,1,7,8]=>[4,5,6,7,3,8,2,1]=>[4,2,1,1]=>10001011=>4 [4,5,3,2,6,1,7,8]=>[5,4,6,7,3,8,2,1]=>[1,3,2,1,1]=>11001011=>4 [5,3,4,2,6,1,7,8]=>[4,6,5,7,3,8,2,1]=>[2,2,2,1,1]=>10101011=>6 [4,3,5,2,6,1,7,8]=>[5,6,4,7,3,8,2,1]=>[2,2,2,1,1]=>10101011=>6 [3,4,5,2,6,1,7,8]=>[6,5,4,7,3,8,2,1]=>[1,1,2,2,1,1]=>11101011=>4 [5,4,2,3,6,1,7,8]=>[4,5,7,6,3,8,2,1]=>[3,1,2,1,1]=>10011011=>4 [4,5,2,3,6,1,7,8]=>[5,4,7,6,3,8,2,1]=>[1,2,1,2,1,1]=>11011011=>4 [5,3,2,4,6,1,7,8]=>[4,6,7,5,3,8,2,1]=>[3,1,2,1,1]=>10011011=>4 [5,2,3,4,6,1,7,8]=>[4,7,6,5,3,8,2,1]=>[2,1,1,2,1,1]=>10111011=>4 [4,3,2,5,6,1,7,8]=>[5,6,7,4,3,8,2,1]=>[3,1,2,1,1]=>10011011=>4 [3,4,2,5,6,1,7,8]=>[6,5,7,4,3,8,2,1]=>[1,2,1,2,1,1]=>11011011=>4 [4,2,3,5,6,1,7,8]=>[5,7,6,4,3,8,2,1]=>[2,1,1,2,1,1]=>10111011=>4 [3,2,4,5,6,1,7,8]=>[6,7,5,4,3,8,2,1]=>[2,1,1,2,1,1]=>10111011=>4 [2,3,4,5,6,1,7,8]=>[7,6,5,4,3,8,2,1]=>[1,1,1,1,2,1,1]=>11111011=>2 [6,5,4,3,1,2,7,8]=>[3,4,5,6,8,7,2,1]=>[5,1,1,1]=>10000111=>2 [5,6,4,3,1,2,7,8]=>[4,3,5,6,8,7,2,1]=>[1,4,1,1,1]=>11000111=>2 [6,4,5,3,1,2,7,8]=>[3,5,4,6,8,7,2,1]=>[2,3,1,1,1]=>10100111=>4 [5,4,6,3,1,2,7,8]=>[4,5,3,6,8,7,2,1]=>[2,3,1,1,1]=>10100111=>4 [4,5,6,3,1,2,7,8]=>[5,4,3,6,8,7,2,1]=>[1,1,3,1,1,1]=>11100111=>2 [6,5,3,4,1,2,7,8]=>[3,4,6,5,8,7,2,1]=>[3,2,1,1,1]=>10010111=>4 [5,6,3,4,1,2,7,8]=>[4,3,6,5,8,7,2,1]=>[1,2,2,1,1,1]=>11010111=>4 [6,4,3,5,1,2,7,8]=>[3,5,6,4,8,7,2,1]=>[3,2,1,1,1]=>10010111=>4 [6,3,4,5,1,2,7,8]=>[3,6,5,4,8,7,2,1]=>[2,1,2,1,1,1]=>10110111=>4 [5,4,3,6,1,2,7,8]=>[4,5,6,3,8,7,2,1]=>[3,2,1,1,1]=>10010111=>4 [4,5,3,6,1,2,7,8]=>[5,4,6,3,8,7,2,1]=>[1,2,2,1,1,1]=>11010111=>4 [5,3,4,6,1,2,7,8]=>[4,6,5,3,8,7,2,1]=>[2,1,2,1,1,1]=>10110111=>4 [4,3,5,6,1,2,7,8]=>[5,6,4,3,8,7,2,1]=>[2,1,2,1,1,1]=>10110111=>4 [3,4,5,6,1,2,7,8]=>[6,5,4,3,8,7,2,1]=>[1,1,1,2,1,1,1]=>11110111=>2 [6,5,4,2,1,3,7,8]=>[3,4,5,7,8,6,2,1]=>[5,1,1,1]=>10000111=>2 [5,6,4,2,1,3,7,8]=>[4,3,5,7,8,6,2,1]=>[1,4,1,1,1]=>11000111=>2 [6,4,5,2,1,3,7,8]=>[3,5,4,7,8,6,2,1]=>[2,3,1,1,1]=>10100111=>4 [5,4,6,2,1,3,7,8]=>[4,5,3,7,8,6,2,1]=>[2,3,1,1,1]=>10100111=>4 [4,5,6,2,1,3,7,8]=>[5,4,3,7,8,6,2,1]=>[1,1,3,1,1,1]=>11100111=>2 [6,5,4,1,2,3,7,8]=>[3,4,5,8,7,6,2,1]=>[4,1,1,1,1]=>10001111=>2 [5,6,4,1,2,3,7,8]=>[4,3,5,8,7,6,2,1]=>[1,3,1,1,1,1]=>11001111=>2 [6,4,5,1,2,3,7,8]=>[3,5,4,8,7,6,2,1]=>[2,2,1,1,1,1]=>10101111=>4 [5,4,6,1,2,3,7,8]=>[4,5,3,8,7,6,2,1]=>[2,2,1,1,1,1]=>10101111=>4 [4,5,6,1,2,3,7,8]=>[5,4,3,8,7,6,2,1]=>[1,1,2,1,1,1,1]=>11101111=>2 [6,5,3,2,1,4,7,8]=>[3,4,6,7,8,5,2,1]=>[5,1,1,1]=>10000111=>2 [5,6,3,2,1,4,7,8]=>[4,3,6,7,8,5,2,1]=>[1,4,1,1,1]=>11000111=>2 [6,5,2,3,1,4,7,8]=>[3,4,7,6,8,5,2,1]=>[3,2,1,1,1]=>10010111=>4 [5,6,2,3,1,4,7,8]=>[4,3,7,6,8,5,2,1]=>[1,2,2,1,1,1]=>11010111=>4 [6,5,3,1,2,4,7,8]=>[3,4,6,8,7,5,2,1]=>[4,1,1,1,1]=>10001111=>2 [5,6,3,1,2,4,7,8]=>[4,3,6,8,7,5,2,1]=>[1,3,1,1,1,1]=>11001111=>2 [6,5,2,1,3,4,7,8]=>[3,4,7,8,6,5,2,1]=>[4,1,1,1,1]=>10001111=>2 [5,6,2,1,3,4,7,8]=>[4,3,7,8,6,5,2,1]=>[1,3,1,1,1,1]=>11001111=>2 [6,5,1,2,3,4,7,8]=>[3,4,8,7,6,5,2,1]=>[3,1,1,1,1,1]=>10011111=>2 [5,6,1,2,3,4,7,8]=>[4,3,8,7,6,5,2,1]=>[1,2,1,1,1,1,1]=>11011111=>2 [6,4,3,2,1,5,7,8]=>[3,5,6,7,8,4,2,1]=>[5,1,1,1]=>10000111=>2 [6,3,4,2,1,5,7,8]=>[3,6,5,7,8,4,2,1]=>[2,3,1,1,1]=>10100111=>4 [6,4,2,3,1,5,7,8]=>[3,5,7,6,8,4,2,1]=>[3,2,1,1,1]=>10010111=>4 [6,3,2,4,1,5,7,8]=>[3,6,7,5,8,4,2,1]=>[3,2,1,1,1]=>10010111=>4 [6,2,3,4,1,5,7,8]=>[3,7,6,5,8,4,2,1]=>[2,1,2,1,1,1]=>10110111=>4 [6,4,3,1,2,5,7,8]=>[3,5,6,8,7,4,2,1]=>[4,1,1,1,1]=>10001111=>2 [6,3,4,1,2,5,7,8]=>[3,6,5,8,7,4,2,1]=>[2,2,1,1,1,1]=>10101111=>4 [6,4,2,1,3,5,7,8]=>[3,5,7,8,6,4,2,1]=>[4,1,1,1,1]=>10001111=>2 [6,4,1,2,3,5,7,8]=>[3,5,8,7,6,4,2,1]=>[3,1,1,1,1,1]=>10011111=>2 [6,3,2,1,4,5,7,8]=>[3,6,7,8,5,4,2,1]=>[4,1,1,1,1]=>10001111=>2 [6,2,3,1,4,5,7,8]=>[3,7,6,8,5,4,2,1]=>[2,2,1,1,1,1]=>10101111=>4 [6,3,1,2,4,5,7,8]=>[3,6,8,7,5,4,2,1]=>[3,1,1,1,1,1]=>10011111=>2 [6,2,1,3,4,5,7,8]=>[3,7,8,6,5,4,2,1]=>[3,1,1,1,1,1]=>10011111=>2 [6,1,2,3,4,5,7,8]=>[3,8,7,6,5,4,2,1]=>[2,1,1,1,1,1,1]=>10111111=>2 [5,4,3,2,1,6,7,8]=>[4,5,6,7,8,3,2,1]=>[5,1,1,1]=>10000111=>2 [4,5,3,2,1,6,7,8]=>[5,4,6,7,8,3,2,1]=>[1,4,1,1,1]=>11000111=>2 [5,3,4,2,1,6,7,8]=>[4,6,5,7,8,3,2,1]=>[2,3,1,1,1]=>10100111=>4 [4,3,5,2,1,6,7,8]=>[5,6,4,7,8,3,2,1]=>[2,3,1,1,1]=>10100111=>4 [3,4,5,2,1,6,7,8]=>[6,5,4,7,8,3,2,1]=>[1,1,3,1,1,1]=>11100111=>2 [5,4,2,3,1,6,7,8]=>[4,5,7,6,8,3,2,1]=>[3,2,1,1,1]=>10010111=>4 [4,5,2,3,1,6,7,8]=>[5,4,7,6,8,3,2,1]=>[1,2,2,1,1,1]=>11010111=>4 [5,3,2,4,1,6,7,8]=>[4,6,7,5,8,3,2,1]=>[3,2,1,1,1]=>10010111=>4 [5,2,3,4,1,6,7,8]=>[4,7,6,5,8,3,2,1]=>[2,1,2,1,1,1]=>10110111=>4 [4,3,2,5,1,6,7,8]=>[5,6,7,4,8,3,2,1]=>[3,2,1,1,1]=>10010111=>4 [3,4,2,5,1,6,7,8]=>[6,5,7,4,8,3,2,1]=>[1,2,2,1,1,1]=>11010111=>4 [4,2,3,5,1,6,7,8]=>[5,7,6,4,8,3,2,1]=>[2,1,2,1,1,1]=>10110111=>4 [3,2,4,5,1,6,7,8]=>[6,7,5,4,8,3,2,1]=>[2,1,2,1,1,1]=>10110111=>4 [2,3,4,5,1,6,7,8]=>[7,6,5,4,8,3,2,1]=>[1,1,1,2,1,1,1]=>11110111=>2 [5,4,3,1,2,6,7,8]=>[4,5,6,8,7,3,2,1]=>[4,1,1,1,1]=>10001111=>2 [4,5,3,1,2,6,7,8]=>[5,4,6,8,7,3,2,1]=>[1,3,1,1,1,1]=>11001111=>2 [5,3,4,1,2,6,7,8]=>[4,6,5,8,7,3,2,1]=>[2,2,1,1,1,1]=>10101111=>4 [4,3,5,1,2,6,7,8]=>[5,6,4,8,7,3,2,1]=>[2,2,1,1,1,1]=>10101111=>4 [3,4,5,1,2,6,7,8]=>[6,5,4,8,7,3,2,1]=>[1,1,2,1,1,1,1]=>11101111=>2 [5,4,2,1,3,6,7,8]=>[4,5,7,8,6,3,2,1]=>[4,1,1,1,1]=>10001111=>2 [4,5,2,1,3,6,7,8]=>[5,4,7,8,6,3,2,1]=>[1,3,1,1,1,1]=>11001111=>2 [5,4,1,2,3,6,7,8]=>[4,5,8,7,6,3,2,1]=>[3,1,1,1,1,1]=>10011111=>2 [4,5,1,2,3,6,7,8]=>[5,4,8,7,6,3,2,1]=>[1,2,1,1,1,1,1]=>11011111=>2 [5,3,2,1,4,6,7,8]=>[4,6,7,8,5,3,2,1]=>[4,1,1,1,1]=>10001111=>2 [5,2,3,1,4,6,7,8]=>[4,7,6,8,5,3,2,1]=>[2,2,1,1,1,1]=>10101111=>4 [5,3,1,2,4,6,7,8]=>[4,6,8,7,5,3,2,1]=>[3,1,1,1,1,1]=>10011111=>2 [5,2,1,3,4,6,7,8]=>[4,7,8,6,5,3,2,1]=>[3,1,1,1,1,1]=>10011111=>2 [5,1,2,3,4,6,7,8]=>[4,8,7,6,5,3,2,1]=>[2,1,1,1,1,1,1]=>10111111=>2 [4,3,2,1,5,6,7,8]=>[5,6,7,8,4,3,2,1]=>[4,1,1,1,1]=>10001111=>2 [3,4,2,1,5,6,7,8]=>[6,5,7,8,4,3,2,1]=>[1,3,1,1,1,1]=>11001111=>2 [4,2,3,1,5,6,7,8]=>[5,7,6,8,4,3,2,1]=>[2,2,1,1,1,1]=>10101111=>4 [3,2,4,1,5,6,7,8]=>[6,7,5,8,4,3,2,1]=>[2,2,1,1,1,1]=>10101111=>4 [2,3,4,1,5,6,7,8]=>[7,6,5,8,4,3,2,1]=>[1,1,2,1,1,1,1]=>11101111=>2 [4,3,1,2,5,6,7,8]=>[5,6,8,7,4,3,2,1]=>[3,1,1,1,1,1]=>10011111=>2 [3,4,1,2,5,6,7,8]=>[6,5,8,7,4,3,2,1]=>[1,2,1,1,1,1,1]=>11011111=>2 [4,2,1,3,5,6,7,8]=>[5,7,8,6,4,3,2,1]=>[3,1,1,1,1,1]=>10011111=>2 [4,1,2,3,5,6,7,8]=>[5,8,7,6,4,3,2,1]=>[2,1,1,1,1,1,1]=>10111111=>2 [3,2,1,4,5,6,7,8]=>[6,7,8,5,4,3,2,1]=>[3,1,1,1,1,1]=>10011111=>2 [2,3,1,4,5,6,7,8]=>[7,6,8,5,4,3,2,1]=>[1,2,1,1,1,1,1]=>11011111=>2 [3,1,2,4,5,6,7,8]=>[6,8,7,5,4,3,2,1]=>[2,1,1,1,1,1,1]=>10111111=>2 [2,1,3,4,5,6,7,8]=>[7,8,6,5,4,3,2,1]=>[2,1,1,1,1,1,1]=>10111111=>2 [1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1]=>11111111=>0 [6,8,7,5,4,3,2,1]=>[3,1,2,4,5,6,7,8]=>[1,7]=>11000000=>1 [5,8,7,6,4,3,2,1]=>[4,1,2,3,5,6,7,8]=>[1,7]=>11000000=>1 [5,7,8,6,4,3,2,1]=>[4,2,1,3,5,6,7,8]=>[1,1,6]=>11100000=>1 [6,5,8,7,4,3,2,1]=>[3,4,1,2,5,6,7,8]=>[2,6]=>10100000=>3 [5,6,8,7,4,3,2,1]=>[4,3,1,2,5,6,7,8]=>[1,1,6]=>11100000=>1 [5,7,6,8,4,3,2,1]=>[4,2,3,1,5,6,7,8]=>[1,2,5]=>11010000=>3 [4,8,7,6,5,3,2,1]=>[5,1,2,3,4,6,7,8]=>[1,7]=>11000000=>1 [4,7,8,6,5,3,2,1]=>[5,2,1,3,4,6,7,8]=>[1,1,6]=>11100000=>1 [4,6,8,7,5,3,2,1]=>[5,3,1,2,4,6,7,8]=>[1,1,6]=>11100000=>1 [4,7,6,8,5,3,2,1]=>[5,2,3,1,4,6,7,8]=>[1,2,5]=>11010000=>3 [4,6,7,8,5,3,2,1]=>[5,3,2,1,4,6,7,8]=>[1,1,1,5]=>11110000=>1 [5,4,8,7,6,3,2,1]=>[4,5,1,2,3,6,7,8]=>[2,6]=>10100000=>3 [4,5,8,7,6,3,2,1]=>[5,4,1,2,3,6,7,8]=>[1,1,6]=>11100000=>1 [4,5,7,8,6,3,2,1]=>[5,4,2,1,3,6,7,8]=>[1,1,1,5]=>11110000=>1 [6,5,4,8,7,3,2,1]=>[3,4,5,1,2,6,7,8]=>[3,5]=>10010000=>3 [4,6,5,8,7,3,2,1]=>[5,3,4,1,2,6,7,8]=>[1,2,5]=>11010000=>3 [5,4,6,8,7,3,2,1]=>[4,5,3,1,2,6,7,8]=>[2,1,5]=>10110000=>3 [4,5,6,8,7,3,2,1]=>[5,4,3,1,2,6,7,8]=>[1,1,1,5]=>11110000=>1 [5,7,6,4,8,3,2,1]=>[4,2,3,5,1,6,7,8]=>[1,3,4]=>11001000=>3 [4,7,6,5,8,3,2,1]=>[5,2,3,4,1,6,7,8]=>[1,3,4]=>11001000=>3 [4,6,7,5,8,3,2,1]=>[5,3,2,4,1,6,7,8]=>[1,1,2,4]=>11101000=>3 [5,4,7,6,8,3,2,1]=>[4,5,2,3,1,6,7,8]=>[2,2,4]=>10101000=>5 [4,5,7,6,8,3,2,1]=>[5,4,2,3,1,6,7,8]=>[1,1,2,4]=>11101000=>3 [4,6,5,7,8,3,2,1]=>[5,3,4,2,1,6,7,8]=>[1,2,1,4]=>11011000=>3 [3,8,7,6,5,4,2,1]=>[6,1,2,3,4,5,7,8]=>[1,7]=>11000000=>1 [3,7,8,6,5,4,2,1]=>[6,2,1,3,4,5,7,8]=>[1,1,6]=>11100000=>1 [3,6,8,7,5,4,2,1]=>[6,3,1,2,4,5,7,8]=>[1,1,6]=>11100000=>1 [3,7,6,8,5,4,2,1]=>[6,2,3,1,4,5,7,8]=>[1,2,5]=>11010000=>3 [3,6,7,8,5,4,2,1]=>[6,3,2,1,4,5,7,8]=>[1,1,1,5]=>11110000=>1 [3,5,8,7,6,4,2,1]=>[6,4,1,2,3,5,7,8]=>[1,1,6]=>11100000=>1 [3,5,7,8,6,4,2,1]=>[6,4,2,1,3,5,7,8]=>[1,1,1,5]=>11110000=>1 [3,5,6,8,7,4,2,1]=>[6,4,3,1,2,5,7,8]=>[1,1,1,5]=>11110000=>1 [3,7,6,5,8,4,2,1]=>[6,2,3,4,1,5,7,8]=>[1,3,4]=>11001000=>3 [3,6,7,5,8,4,2,1]=>[6,3,2,4,1,5,7,8]=>[1,1,2,4]=>11101000=>3 [3,6,5,7,8,4,2,1]=>[6,3,4,2,1,5,7,8]=>[1,2,1,4]=>11011000=>3 [3,5,6,7,8,4,2,1]=>[6,4,3,2,1,5,7,8]=>[1,1,1,1,4]=>11111000=>1 [4,3,8,7,6,5,2,1]=>[5,6,1,2,3,4,7,8]=>[2,6]=>10100000=>3 [4,3,6,8,7,5,2,1]=>[5,6,3,1,2,4,7,8]=>[2,1,5]=>10110000=>3 [4,3,7,6,8,5,2,1]=>[5,6,2,3,1,4,7,8]=>[2,2,4]=>10101000=>5 [4,3,6,7,8,5,2,1]=>[5,6,3,2,1,4,7,8]=>[2,1,1,4]=>10111000=>3 [3,4,8,7,6,5,2,1]=>[6,5,1,2,3,4,7,8]=>[1,1,6]=>11100000=>1 [3,4,7,8,6,5,2,1]=>[6,5,2,1,3,4,7,8]=>[1,1,1,5]=>11110000=>1 [3,4,7,6,8,5,2,1]=>[6,5,2,3,1,4,7,8]=>[1,1,2,4]=>11101000=>3 [3,4,6,7,8,5,2,1]=>[6,5,3,2,1,4,7,8]=>[1,1,1,1,4]=>11111000=>1 [5,4,3,8,7,6,2,1]=>[4,5,6,1,2,3,7,8]=>[3,5]=>10010000=>3 [5,4,3,7,8,6,2,1]=>[4,5,6,2,1,3,7,8]=>[3,1,4]=>10011000=>3 [4,5,3,7,8,6,2,1]=>[5,4,6,2,1,3,7,8]=>[1,2,1,4]=>11011000=>3 [3,5,4,8,7,6,2,1]=>[6,4,5,1,2,3,7,8]=>[1,2,5]=>11010000=>3 [3,5,4,7,8,6,2,1]=>[6,4,5,2,1,3,7,8]=>[1,2,1,4]=>11011000=>3 [4,3,5,7,8,6,2,1]=>[5,6,4,2,1,3,7,8]=>[2,1,1,4]=>10111000=>3 [3,4,5,8,7,6,2,1]=>[6,5,4,1,2,3,7,8]=>[1,1,1,5]=>11110000=>1 [3,4,5,7,8,6,2,1]=>[6,5,4,2,1,3,7,8]=>[1,1,1,1,4]=>11111000=>1 [6,5,4,3,8,7,2,1]=>[3,4,5,6,1,2,7,8]=>[4,4]=>10001000=>3 [4,6,5,3,8,7,2,1]=>[5,3,4,6,1,2,7,8]=>[1,3,4]=>11001000=>3 [5,4,6,3,8,7,2,1]=>[4,5,3,6,1,2,7,8]=>[2,2,4]=>10101000=>5 [4,5,6,3,8,7,2,1]=>[5,4,3,6,1,2,7,8]=>[1,1,2,4]=>11101000=>3 [3,5,6,4,8,7,2,1]=>[6,4,3,5,1,2,7,8]=>[1,1,2,4]=>11101000=>3 [4,3,6,5,8,7,2,1]=>[5,6,3,4,1,2,7,8]=>[2,2,4]=>10101000=>5 [3,4,6,5,8,7,2,1]=>[6,5,3,4,1,2,7,8]=>[1,1,2,4]=>11101000=>3 [5,4,3,6,8,7,2,1]=>[4,5,6,3,1,2,7,8]=>[3,1,4]=>10011000=>3 [4,5,3,6,8,7,2,1]=>[5,4,6,3,1,2,7,8]=>[1,2,1,4]=>11011000=>3 [3,5,4,6,8,7,2,1]=>[6,4,5,3,1,2,7,8]=>[1,2,1,4]=>11011000=>3 [4,3,5,6,8,7,2,1]=>[5,6,4,3,1,2,7,8]=>[2,1,1,4]=>10111000=>3 [3,4,5,6,8,7,2,1]=>[6,5,4,3,1,2,7,8]=>[1,1,1,1,4]=>11111000=>1 [5,7,6,4,3,8,2,1]=>[4,2,3,5,6,1,7,8]=>[1,4,3]=>11000100=>3 [4,7,6,5,3,8,2,1]=>[5,2,3,4,6,1,7,8]=>[1,4,3]=>11000100=>3 [4,6,7,5,3,8,2,1]=>[5,3,2,4,6,1,7,8]=>[1,1,3,3]=>11100100=>3 [4,5,7,6,3,8,2,1]=>[5,4,2,3,6,1,7,8]=>[1,1,3,3]=>11100100=>3 [3,7,6,5,4,8,2,1]=>[6,2,3,4,5,1,7,8]=>[1,4,3]=>11000100=>3 [3,6,7,5,4,8,2,1]=>[6,3,2,4,5,1,7,8]=>[1,1,3,3]=>11100100=>3 [3,5,7,6,4,8,2,1]=>[6,4,2,3,5,1,7,8]=>[1,1,3,3]=>11100100=>3 [3,6,5,7,4,8,2,1]=>[6,3,4,2,5,1,7,8]=>[1,2,2,3]=>11010100=>5 [3,5,6,7,4,8,2,1]=>[6,4,3,2,5,1,7,8]=>[1,1,1,2,3]=>11110100=>3 [4,3,7,6,5,8,2,1]=>[5,6,2,3,4,1,7,8]=>[2,3,3]=>10100100=>5 [4,3,6,7,5,8,2,1]=>[5,6,3,2,4,1,7,8]=>[2,1,2,3]=>10110100=>5 [3,4,7,6,5,8,2,1]=>[6,5,2,3,4,1,7,8]=>[1,1,3,3]=>11100100=>3 [3,4,6,7,5,8,2,1]=>[6,5,3,2,4,1,7,8]=>[1,1,1,2,3]=>11110100=>3 [5,4,3,7,6,8,2,1]=>[4,5,6,2,3,1,7,8]=>[3,2,3]=>10010100=>5 [4,5,3,7,6,8,2,1]=>[5,4,6,2,3,1,7,8]=>[1,2,2,3]=>11010100=>5 [3,5,4,7,6,8,2,1]=>[6,4,5,2,3,1,7,8]=>[1,2,2,3]=>11010100=>5 [4,3,5,7,6,8,2,1]=>[5,6,4,2,3,1,7,8]=>[2,1,2,3]=>10110100=>5 [3,4,5,7,6,8,2,1]=>[6,5,4,2,3,1,7,8]=>[1,1,1,2,3]=>11110100=>3 [3,6,5,4,7,8,2,1]=>[6,3,4,5,2,1,7,8]=>[1,3,1,3]=>11001100=>3 [3,5,6,4,7,8,2,1]=>[6,4,3,5,2,1,7,8]=>[1,1,2,1,3]=>11101100=>3 [4,3,6,5,7,8,2,1]=>[5,6,3,4,2,1,7,8]=>[2,2,1,3]=>10101100=>5 [3,4,6,5,7,8,2,1]=>[6,5,3,4,2,1,7,8]=>[1,1,2,1,3]=>11101100=>3 [3,5,4,6,7,8,2,1]=>[6,4,5,3,2,1,7,8]=>[1,2,1,1,3]=>11011100=>3 [2,8,7,6,5,4,3,1]=>[7,1,2,3,4,5,6,8]=>[1,7]=>11000000=>1 [2,7,8,6,5,4,3,1]=>[7,2,1,3,4,5,6,8]=>[1,1,6]=>11100000=>1 [2,6,8,7,5,4,3,1]=>[7,3,1,2,4,5,6,8]=>[1,1,6]=>11100000=>1 [2,7,6,8,5,4,3,1]=>[7,2,3,1,4,5,6,8]=>[1,2,5]=>11010000=>3 [2,6,7,8,5,4,3,1]=>[7,3,2,1,4,5,6,8]=>[1,1,1,5]=>11110000=>1 [2,5,8,7,6,4,3,1]=>[7,4,1,2,3,5,6,8]=>[1,1,6]=>11100000=>1 [2,6,5,8,7,4,3,1]=>[7,3,4,1,2,5,6,8]=>[1,2,5]=>11010000=>3 [2,5,6,8,7,4,3,1]=>[7,4,3,1,2,5,6,8]=>[1,1,1,5]=>11110000=>1 [2,7,6,5,8,4,3,1]=>[7,2,3,4,1,5,6,8]=>[1,3,4]=>11001000=>3 [2,6,7,5,8,4,3,1]=>[7,3,2,4,1,5,6,8]=>[1,1,2,4]=>11101000=>3 [2,5,7,6,8,4,3,1]=>[7,4,2,3,1,5,6,8]=>[1,1,2,4]=>11101000=>3 [2,6,5,7,8,4,3,1]=>[7,3,4,2,1,5,6,8]=>[1,2,1,4]=>11011000=>3 [2,5,6,7,8,4,3,1]=>[7,4,3,2,1,5,6,8]=>[1,1,1,1,4]=>11111000=>1 [2,4,8,7,6,5,3,1]=>[7,5,1,2,3,4,6,8]=>[1,1,6]=>11100000=>1 [2,4,7,8,6,5,3,1]=>[7,5,2,1,3,4,6,8]=>[1,1,1,5]=>11110000=>1 [2,4,6,8,7,5,3,1]=>[7,5,3,1,2,4,6,8]=>[1,1,1,5]=>11110000=>1 [2,4,7,6,8,5,3,1]=>[7,5,2,3,1,4,6,8]=>[1,1,2,4]=>11101000=>3 [2,4,6,7,8,5,3,1]=>[7,5,3,2,1,4,6,8]=>[1,1,1,1,4]=>11111000=>1 [2,5,4,8,7,6,3,1]=>[7,4,5,1,2,3,6,8]=>[1,2,5]=>11010000=>3 [2,5,4,7,8,6,3,1]=>[7,4,5,2,1,3,6,8]=>[1,2,1,4]=>11011000=>3 [2,4,5,8,7,6,3,1]=>[7,5,4,1,2,3,6,8]=>[1,1,1,5]=>11110000=>1 [2,6,5,4,8,7,3,1]=>[7,3,4,5,1,2,6,8]=>[1,3,4]=>11001000=>3 [2,5,6,4,8,7,3,1]=>[7,4,3,5,1,2,6,8]=>[1,1,2,4]=>11101000=>3 [2,4,6,5,8,7,3,1]=>[7,5,3,4,1,2,6,8]=>[1,1,2,4]=>11101000=>3 [2,7,6,5,4,8,3,1]=>[7,2,3,4,5,1,6,8]=>[1,4,3]=>11000100=>3 [2,5,7,6,4,8,3,1]=>[7,4,2,3,5,1,6,8]=>[1,1,3,3]=>11100100=>3 [2,5,6,7,4,8,3,1]=>[7,4,3,2,5,1,6,8]=>[1,1,1,2,3]=>11110100=>3 [2,4,7,6,5,8,3,1]=>[7,5,2,3,4,1,6,8]=>[1,1,3,3]=>11100100=>3 [2,4,6,7,5,8,3,1]=>[7,5,3,2,4,1,6,8]=>[1,1,1,2,3]=>11110100=>3 [2,5,4,7,6,8,3,1]=>[7,4,5,2,3,1,6,8]=>[1,2,2,3]=>11010100=>5 [2,4,5,7,6,8,3,1]=>[7,5,4,2,3,1,6,8]=>[1,1,1,2,3]=>11110100=>3 [2,6,5,4,7,8,3,1]=>[7,3,4,5,2,1,6,8]=>[1,3,1,3]=>11001100=>3 [2,5,6,4,7,8,3,1]=>[7,4,3,5,2,1,6,8]=>[1,1,2,1,3]=>11101100=>3 [2,4,6,5,7,8,3,1]=>[7,5,3,4,2,1,6,8]=>[1,1,2,1,3]=>11101100=>3 [2,5,4,6,7,8,3,1]=>[7,4,5,3,2,1,6,8]=>[1,2,1,1,3]=>11011100=>3 [2,4,5,6,7,8,3,1]=>[7,5,4,3,2,1,6,8]=>[1,1,1,1,1,3]=>11111100=>1 [3,2,8,7,6,5,4,1]=>[6,7,1,2,3,4,5,8]=>[2,6]=>10100000=>3 [3,2,7,8,6,5,4,1]=>[6,7,2,1,3,4,5,8]=>[2,1,5]=>10110000=>3 [3,2,6,8,7,5,4,1]=>[6,7,3,1,2,4,5,8]=>[2,1,5]=>10110000=>3 [3,2,7,6,8,5,4,1]=>[6,7,2,3,1,4,5,8]=>[2,2,4]=>10101000=>5 [3,2,6,7,8,5,4,1]=>[6,7,3,2,1,4,5,8]=>[2,1,1,4]=>10111000=>3 [3,2,6,5,8,7,4,1]=>[6,7,3,4,1,2,5,8]=>[2,2,4]=>10101000=>5 [3,2,5,6,8,7,4,1]=>[6,7,4,3,1,2,5,8]=>[2,1,1,4]=>10111000=>3 [3,2,7,6,5,8,4,1]=>[6,7,2,3,4,1,5,8]=>[2,3,3]=>10100100=>5 [3,2,6,7,5,8,4,1]=>[6,7,3,2,4,1,5,8]=>[2,1,2,3]=>10110100=>5 [3,2,5,6,7,8,4,1]=>[6,7,4,3,2,1,5,8]=>[2,1,1,1,3]=>10111100=>3 [2,3,8,7,6,5,4,1]=>[7,6,1,2,3,4,5,8]=>[1,1,6]=>11100000=>1 [2,3,6,8,7,5,4,1]=>[7,6,3,1,2,4,5,8]=>[1,1,1,5]=>11110000=>1 [2,3,7,6,8,5,4,1]=>[7,6,2,3,1,4,5,8]=>[1,1,2,4]=>11101000=>3 [2,3,6,7,8,5,4,1]=>[7,6,3,2,1,4,5,8]=>[1,1,1,1,4]=>11111000=>1 [2,3,5,8,7,6,4,1]=>[7,6,4,1,2,3,5,8]=>[1,1,1,5]=>11110000=>1 [2,3,5,7,8,6,4,1]=>[7,6,4,2,1,3,5,8]=>[1,1,1,1,4]=>11111000=>1 [2,3,6,5,8,7,4,1]=>[7,6,3,4,1,2,5,8]=>[1,1,2,4]=>11101000=>3 [2,3,5,6,8,7,4,1]=>[7,6,4,3,1,2,5,8]=>[1,1,1,1,4]=>11111000=>1 [2,3,7,6,5,8,4,1]=>[7,6,2,3,4,1,5,8]=>[1,1,3,3]=>11100100=>3 [2,3,6,7,5,8,4,1]=>[7,6,3,2,4,1,5,8]=>[1,1,1,2,3]=>11110100=>3 [2,3,6,5,7,8,4,1]=>[7,6,3,4,2,1,5,8]=>[1,1,2,1,3]=>11101100=>3 [2,3,5,6,7,8,4,1]=>[7,6,4,3,2,1,5,8]=>[1,1,1,1,1,3]=>11111100=>1 [4,3,2,8,7,6,5,1]=>[5,6,7,1,2,3,4,8]=>[3,5]=>10010000=>3 [4,3,2,7,8,6,5,1]=>[5,6,7,2,1,3,4,8]=>[3,1,4]=>10011000=>3 [4,3,2,6,8,7,5,1]=>[5,6,7,3,1,2,4,8]=>[3,1,4]=>10011000=>3 [4,3,2,7,6,8,5,1]=>[5,6,7,2,3,1,4,8]=>[3,2,3]=>10010100=>5 [4,3,2,6,7,8,5,1]=>[5,6,7,3,2,1,4,8]=>[3,1,1,3]=>10011100=>3 [3,4,2,8,7,6,5,1]=>[6,5,7,1,2,3,4,8]=>[1,2,5]=>11010000=>3 [3,4,2,7,6,8,5,1]=>[6,5,7,2,3,1,4,8]=>[1,2,2,3]=>11010100=>5 [2,4,3,8,7,6,5,1]=>[7,5,6,1,2,3,4,8]=>[1,2,5]=>11010000=>3 [2,4,3,7,8,6,5,1]=>[7,5,6,2,1,3,4,8]=>[1,2,1,4]=>11011000=>3 [2,4,3,6,8,7,5,1]=>[7,5,6,3,1,2,4,8]=>[1,2,1,4]=>11011000=>3 [2,4,3,7,6,8,5,1]=>[7,5,6,2,3,1,4,8]=>[1,2,2,3]=>11010100=>5 [2,4,3,6,7,8,5,1]=>[7,5,6,3,2,1,4,8]=>[1,2,1,1,3]=>11011100=>3 [3,2,4,8,7,6,5,1]=>[6,7,5,1,2,3,4,8]=>[2,1,5]=>10110000=>3 [3,2,4,7,8,6,5,1]=>[6,7,5,2,1,3,4,8]=>[2,1,1,4]=>10111000=>3 [3,2,4,6,8,7,5,1]=>[6,7,5,3,1,2,4,8]=>[2,1,1,4]=>10111000=>3 [3,2,4,7,6,8,5,1]=>[6,7,5,2,3,1,4,8]=>[2,1,2,3]=>10110100=>5 [3,2,4,6,7,8,5,1]=>[6,7,5,3,2,1,4,8]=>[2,1,1,1,3]=>10111100=>3 [2,3,4,8,7,6,5,1]=>[7,6,5,1,2,3,4,8]=>[1,1,1,5]=>11110000=>1 [2,3,4,7,8,6,5,1]=>[7,6,5,2,1,3,4,8]=>[1,1,1,1,4]=>11111000=>1 [2,3,4,6,8,7,5,1]=>[7,6,5,3,1,2,4,8]=>[1,1,1,1,4]=>11111000=>1 [2,3,4,7,6,8,5,1]=>[7,6,5,2,3,1,4,8]=>[1,1,1,2,3]=>11110100=>3 [2,3,4,6,7,8,5,1]=>[7,6,5,3,2,1,4,8]=>[1,1,1,1,1,3]=>11111100=>1 [5,4,3,2,8,7,6,1]=>[4,5,6,7,1,2,3,8]=>[4,4]=>10001000=>3 [5,4,3,2,7,8,6,1]=>[4,5,6,7,2,1,3,8]=>[4,1,3]=>10001100=>3 [4,5,3,2,8,7,6,1]=>[5,4,6,7,1,2,3,8]=>[1,3,4]=>11001000=>3 [4,5,3,2,7,8,6,1]=>[5,4,6,7,2,1,3,8]=>[1,3,1,3]=>11001100=>3 [3,5,4,2,8,7,6,1]=>[6,4,5,7,1,2,3,8]=>[1,3,4]=>11001000=>3 [4,3,5,2,8,7,6,1]=>[5,6,4,7,1,2,3,8]=>[2,2,4]=>10101000=>5 [3,4,5,2,8,7,6,1]=>[6,5,4,7,1,2,3,8]=>[1,1,2,4]=>11101000=>3 [3,4,5,2,7,8,6,1]=>[6,5,4,7,2,1,3,8]=>[1,1,2,1,3]=>11101100=>3 [2,5,4,3,8,7,6,1]=>[7,4,5,6,1,2,3,8]=>[1,3,4]=>11001000=>3 [2,5,4,3,7,8,6,1]=>[7,4,5,6,2,1,3,8]=>[1,3,1,3]=>11001100=>3 [2,4,5,3,8,7,6,1]=>[7,5,4,6,1,2,3,8]=>[1,1,2,4]=>11101000=>3 [2,4,5,3,7,8,6,1]=>[7,5,4,6,2,1,3,8]=>[1,1,2,1,3]=>11101100=>3 [3,2,5,4,8,7,6,1]=>[6,7,4,5,1,2,3,8]=>[2,2,4]=>10101000=>5 [3,2,5,4,7,8,6,1]=>[6,7,4,5,2,1,3,8]=>[2,2,1,3]=>10101100=>5 [2,3,5,4,8,7,6,1]=>[7,6,4,5,1,2,3,8]=>[1,1,2,4]=>11101000=>3 [2,3,5,4,7,8,6,1]=>[7,6,4,5,2,1,3,8]=>[1,1,2,1,3]=>11101100=>3 [4,3,2,5,8,7,6,1]=>[5,6,7,4,1,2,3,8]=>[3,1,4]=>10011000=>3 [4,3,2,5,7,8,6,1]=>[5,6,7,4,2,1,3,8]=>[3,1,1,3]=>10011100=>3 [3,4,2,5,8,7,6,1]=>[6,5,7,4,1,2,3,8]=>[1,2,1,4]=>11011000=>3 [3,4,2,5,7,8,6,1]=>[6,5,7,4,2,1,3,8]=>[1,2,1,1,3]=>11011100=>3 [2,4,3,5,8,7,6,1]=>[7,5,6,4,1,2,3,8]=>[1,2,1,4]=>11011000=>3 [3,2,4,5,8,7,6,1]=>[6,7,5,4,1,2,3,8]=>[2,1,1,4]=>10111000=>3 [3,2,4,5,7,8,6,1]=>[6,7,5,4,2,1,3,8]=>[2,1,1,1,3]=>10111100=>3 [2,3,4,5,8,7,6,1]=>[7,6,5,4,1,2,3,8]=>[1,1,1,1,4]=>11111000=>1 [2,3,4,5,7,8,6,1]=>[7,6,5,4,2,1,3,8]=>[1,1,1,1,1,3]=>11111100=>1 [6,5,4,3,2,8,7,1]=>[3,4,5,6,7,1,2,8]=>[5,3]=>10000100=>3 [4,6,5,3,2,8,7,1]=>[5,3,4,6,7,1,2,8]=>[1,4,3]=>11000100=>3 [5,4,6,3,2,8,7,1]=>[4,5,3,6,7,1,2,8]=>[2,3,3]=>10100100=>5 [3,6,5,4,2,8,7,1]=>[6,3,4,5,7,1,2,8]=>[1,4,3]=>11000100=>3 [3,5,6,4,2,8,7,1]=>[6,4,3,5,7,1,2,8]=>[1,1,3,3]=>11100100=>3 [4,3,6,5,2,8,7,1]=>[5,6,3,4,7,1,2,8]=>[2,3,3]=>10100100=>5 [3,4,6,5,2,8,7,1]=>[6,5,3,4,7,1,2,8]=>[1,1,3,3]=>11100100=>3 [4,5,3,6,2,8,7,1]=>[5,4,6,3,7,1,2,8]=>[1,2,2,3]=>11010100=>5 [4,3,5,6,2,8,7,1]=>[5,6,4,3,7,1,2,8]=>[2,1,2,3]=>10110100=>5 [3,4,5,6,2,8,7,1]=>[6,5,4,3,7,1,2,8]=>[1,1,1,2,3]=>11110100=>3 [2,6,5,4,3,8,7,1]=>[7,3,4,5,6,1,2,8]=>[1,4,3]=>11000100=>3 [2,5,6,4,3,8,7,1]=>[7,4,3,5,6,1,2,8]=>[1,1,3,3]=>11100100=>3 [2,4,6,5,3,8,7,1]=>[7,5,3,4,6,1,2,8]=>[1,1,3,3]=>11100100=>3 [2,5,4,6,3,8,7,1]=>[7,4,5,3,6,1,2,8]=>[1,2,2,3]=>11010100=>5 [2,4,5,6,3,8,7,1]=>[7,5,4,3,6,1,2,8]=>[1,1,1,2,3]=>11110100=>3 [3,2,6,5,4,8,7,1]=>[6,7,3,4,5,1,2,8]=>[2,3,3]=>10100100=>5 [3,2,5,6,4,8,7,1]=>[6,7,4,3,5,1,2,8]=>[2,1,2,3]=>10110100=>5 [2,3,5,6,4,8,7,1]=>[7,6,4,3,5,1,2,8]=>[1,1,1,2,3]=>11110100=>3 [4,3,2,6,5,8,7,1]=>[5,6,7,3,4,1,2,8]=>[3,2,3]=>10010100=>5 [2,4,3,6,5,8,7,1]=>[7,5,6,3,4,1,2,8]=>[1,2,2,3]=>11010100=>5 [3,2,4,6,5,8,7,1]=>[6,7,5,3,4,1,2,8]=>[2,1,2,3]=>10110100=>5 [2,3,4,6,5,8,7,1]=>[7,6,5,3,4,1,2,8]=>[1,1,1,2,3]=>11110100=>3 [5,4,3,2,6,8,7,1]=>[4,5,6,7,3,1,2,8]=>[4,1,3]=>10001100=>3 [4,5,3,2,6,8,7,1]=>[5,4,6,7,3,1,2,8]=>[1,3,1,3]=>11001100=>3 [2,5,4,3,6,8,7,1]=>[7,4,5,6,3,1,2,8]=>[1,3,1,3]=>11001100=>3 [2,4,5,3,6,8,7,1]=>[7,5,4,6,3,1,2,8]=>[1,1,2,1,3]=>11101100=>3 [2,3,5,4,6,8,7,1]=>[7,6,4,5,3,1,2,8]=>[1,1,2,1,3]=>11101100=>3 [4,3,2,5,6,8,7,1]=>[5,6,7,4,3,1,2,8]=>[3,1,1,3]=>10011100=>3 [3,4,2,5,6,8,7,1]=>[6,5,7,4,3,1,2,8]=>[1,2,1,1,3]=>11011100=>3 [2,4,3,5,6,8,7,1]=>[7,5,6,4,3,1,2,8]=>[1,2,1,1,3]=>11011100=>3 [3,2,4,5,6,8,7,1]=>[6,7,5,4,3,1,2,8]=>[2,1,1,1,3]=>10111100=>3 [2,3,4,5,6,8,7,1]=>[7,6,5,4,3,1,2,8]=>[1,1,1,1,1,3]=>11111100=>1 [5,7,6,4,3,2,8,1]=>[4,2,3,5,6,7,1,8]=>[1,5,2]=>11000010=>3 [4,7,6,5,3,2,8,1]=>[5,2,3,4,6,7,1,8]=>[1,5,2]=>11000010=>3 [4,6,7,5,3,2,8,1]=>[5,3,2,4,6,7,1,8]=>[1,1,4,2]=>11100010=>3 [5,4,7,6,3,2,8,1]=>[4,5,2,3,6,7,1,8]=>[2,4,2]=>10100010=>5 [4,5,7,6,3,2,8,1]=>[5,4,2,3,6,7,1,8]=>[1,1,4,2]=>11100010=>3 [4,6,5,7,3,2,8,1]=>[5,3,4,2,6,7,1,8]=>[1,2,3,2]=>11010010=>5 [3,7,6,5,4,2,8,1]=>[6,2,3,4,5,7,1,8]=>[1,5,2]=>11000010=>3 [3,6,7,5,4,2,8,1]=>[6,3,2,4,5,7,1,8]=>[1,1,4,2]=>11100010=>3 [3,5,7,6,4,2,8,1]=>[6,4,2,3,5,7,1,8]=>[1,1,4,2]=>11100010=>3 [3,6,5,7,4,2,8,1]=>[6,3,4,2,5,7,1,8]=>[1,2,3,2]=>11010010=>5 [4,3,7,6,5,2,8,1]=>[5,6,2,3,4,7,1,8]=>[2,4,2]=>10100010=>5 [4,3,6,7,5,2,8,1]=>[5,6,3,2,4,7,1,8]=>[2,1,3,2]=>10110010=>5 [3,4,7,6,5,2,8,1]=>[6,5,2,3,4,7,1,8]=>[1,1,4,2]=>11100010=>3 [3,4,6,7,5,2,8,1]=>[6,5,3,2,4,7,1,8]=>[1,1,1,3,2]=>11110010=>3 [5,4,3,7,6,2,8,1]=>[4,5,6,2,3,7,1,8]=>[3,3,2]=>10010010=>5 [4,5,3,7,6,2,8,1]=>[5,4,6,2,3,7,1,8]=>[1,2,3,2]=>11010010=>5 [3,5,4,7,6,2,8,1]=>[6,4,5,2,3,7,1,8]=>[1,2,3,2]=>11010010=>5 [4,6,5,3,7,2,8,1]=>[5,3,4,6,2,7,1,8]=>[1,3,2,2]=>11001010=>5 [3,6,5,4,7,2,8,1]=>[6,3,4,5,2,7,1,8]=>[1,3,2,2]=>11001010=>5 [3,5,6,4,7,2,8,1]=>[6,4,3,5,2,7,1,8]=>[1,1,2,2,2]=>11101010=>5 [4,3,6,5,7,2,8,1]=>[5,6,3,4,2,7,1,8]=>[2,2,2,2]=>10101010=>7 [2,7,6,5,4,3,8,1]=>[7,2,3,4,5,6,1,8]=>[1,5,2]=>11000010=>3 [2,6,7,5,4,3,8,1]=>[7,3,2,4,5,6,1,8]=>[1,1,4,2]=>11100010=>3 [2,5,7,6,4,3,8,1]=>[7,4,2,3,5,6,1,8]=>[1,1,4,2]=>11100010=>3 [2,5,6,7,4,3,8,1]=>[7,4,3,2,5,6,1,8]=>[1,1,1,3,2]=>11110010=>3 [2,4,7,6,5,3,8,1]=>[7,5,2,3,4,6,1,8]=>[1,1,4,2]=>11100010=>3 [2,4,6,7,5,3,8,1]=>[7,5,3,2,4,6,1,8]=>[1,1,1,3,2]=>11110010=>3 [2,5,4,7,6,3,8,1]=>[7,4,5,2,3,6,1,8]=>[1,2,3,2]=>11010010=>5 [2,4,5,7,6,3,8,1]=>[7,5,4,2,3,6,1,8]=>[1,1,1,3,2]=>11110010=>3 [2,6,5,4,7,3,8,1]=>[7,3,4,5,2,6,1,8]=>[1,3,2,2]=>11001010=>5 [2,5,6,4,7,3,8,1]=>[7,4,3,5,2,6,1,8]=>[1,1,2,2,2]=>11101010=>5 [2,4,6,5,7,3,8,1]=>[7,5,3,4,2,6,1,8]=>[1,1,2,2,2]=>11101010=>5 [2,5,4,6,7,3,8,1]=>[7,4,5,3,2,6,1,8]=>[1,2,1,2,2]=>11011010=>5 [2,4,5,6,7,3,8,1]=>[7,5,4,3,2,6,1,8]=>[1,1,1,1,2,2]=>11111010=>3 [3,2,7,6,5,4,8,1]=>[6,7,2,3,4,5,1,8]=>[2,4,2]=>10100010=>5 [3,2,6,7,5,4,8,1]=>[6,7,3,2,4,5,1,8]=>[2,1,3,2]=>10110010=>5 [3,2,5,7,6,4,8,1]=>[6,7,4,2,3,5,1,8]=>[2,1,3,2]=>10110010=>5 [3,2,6,5,7,4,8,1]=>[6,7,3,4,2,5,1,8]=>[2,2,2,2]=>10101010=>7 [3,2,5,6,7,4,8,1]=>[6,7,4,3,2,5,1,8]=>[2,1,1,2,2]=>10111010=>5 [2,3,7,6,5,4,8,1]=>[7,6,2,3,4,5,1,8]=>[1,1,4,2]=>11100010=>3 [2,3,6,7,5,4,8,1]=>[7,6,3,2,4,5,1,8]=>[1,1,1,3,2]=>11110010=>3 [2,3,5,7,6,4,8,1]=>[7,6,4,2,3,5,1,8]=>[1,1,1,3,2]=>11110010=>3 [2,3,5,6,7,4,8,1]=>[7,6,4,3,2,5,1,8]=>[1,1,1,1,2,2]=>11111010=>3 [4,3,2,7,6,5,8,1]=>[5,6,7,2,3,4,1,8]=>[3,3,2]=>10010010=>5 [4,3,2,6,7,5,8,1]=>[5,6,7,3,2,4,1,8]=>[3,1,2,2]=>10011010=>5 [3,4,2,6,7,5,8,1]=>[6,5,7,3,2,4,1,8]=>[1,2,1,2,2]=>11011010=>5 [2,4,3,7,6,5,8,1]=>[7,5,6,2,3,4,1,8]=>[1,2,3,2]=>11010010=>5 [2,4,3,6,7,5,8,1]=>[7,5,6,3,2,4,1,8]=>[1,2,1,2,2]=>11011010=>5 [3,2,4,7,6,5,8,1]=>[6,7,5,2,3,4,1,8]=>[2,1,3,2]=>10110010=>5 [2,3,4,7,6,5,8,1]=>[7,6,5,2,3,4,1,8]=>[1,1,1,3,2]=>11110010=>3 [2,3,4,6,7,5,8,1]=>[7,6,5,3,2,4,1,8]=>[1,1,1,1,2,2]=>11111010=>3 [5,4,3,2,7,6,8,1]=>[4,5,6,7,2,3,1,8]=>[4,2,2]=>10001010=>5 [4,5,3,2,7,6,8,1]=>[5,4,6,7,2,3,1,8]=>[1,3,2,2]=>11001010=>5 [4,3,5,2,7,6,8,1]=>[5,6,4,7,2,3,1,8]=>[2,2,2,2]=>10101010=>7 [3,4,5,2,7,6,8,1]=>[6,5,4,7,2,3,1,8]=>[1,1,2,2,2]=>11101010=>5 [2,5,4,3,7,6,8,1]=>[7,4,5,6,2,3,1,8]=>[1,3,2,2]=>11001010=>5 [2,4,5,3,7,6,8,1]=>[7,5,4,6,2,3,1,8]=>[1,1,2,2,2]=>11101010=>5 [3,2,5,4,7,6,8,1]=>[6,7,4,5,2,3,1,8]=>[2,2,2,2]=>10101010=>7 [2,3,5,4,7,6,8,1]=>[7,6,4,5,2,3,1,8]=>[1,1,2,2,2]=>11101010=>5 [4,3,2,5,7,6,8,1]=>[5,6,7,4,2,3,1,8]=>[3,1,2,2]=>10011010=>5 [2,4,3,5,7,6,8,1]=>[7,5,6,4,2,3,1,8]=>[1,2,1,2,2]=>11011010=>5 [3,2,4,5,7,6,8,1]=>[6,7,5,4,2,3,1,8]=>[2,1,1,2,2]=>10111010=>5 [2,3,4,5,7,6,8,1]=>[7,6,5,4,2,3,1,8]=>[1,1,1,1,2,2]=>11111010=>3 [4,3,6,5,2,7,8,1]=>[5,6,3,4,7,2,1,8]=>[2,3,1,2]=>10100110=>5 [3,5,4,6,2,7,8,1]=>[6,4,5,3,7,2,1,8]=>[1,2,2,1,2]=>11010110=>5 [2,6,5,4,3,7,8,1]=>[7,3,4,5,6,2,1,8]=>[1,4,1,2]=>11000110=>3 [2,5,4,6,3,7,8,1]=>[7,4,5,3,6,2,1,8]=>[1,2,2,1,2]=>11010110=>5 [2,4,5,6,3,7,8,1]=>[7,5,4,3,6,2,1,8]=>[1,1,1,2,1,2]=>11110110=>3 [3,2,5,6,4,7,8,1]=>[6,7,4,3,5,2,1,8]=>[2,1,2,1,2]=>10110110=>5 [2,3,6,5,4,7,8,1]=>[7,6,3,4,5,2,1,8]=>[1,1,3,1,2]=>11100110=>3 [2,3,5,6,4,7,8,1]=>[7,6,4,3,5,2,1,8]=>[1,1,1,2,1,2]=>11110110=>3 [4,3,2,6,5,7,8,1]=>[5,6,7,3,4,2,1,8]=>[3,2,1,2]=>10010110=>5 [3,4,2,6,5,7,8,1]=>[6,5,7,3,4,2,1,8]=>[1,2,2,1,2]=>11010110=>5 [2,4,3,6,5,7,8,1]=>[7,5,6,3,4,2,1,8]=>[1,2,2,1,2]=>11010110=>5 [3,2,4,6,5,7,8,1]=>[6,7,5,3,4,2,1,8]=>[2,1,2,1,2]=>10110110=>5 [2,3,4,6,5,7,8,1]=>[7,6,5,3,4,2,1,8]=>[1,1,1,2,1,2]=>11110110=>3 [2,5,4,3,6,7,8,1]=>[7,4,5,6,3,2,1,8]=>[1,3,1,1,2]=>11001110=>3 [2,4,5,3,6,7,8,1]=>[7,5,4,6,3,2,1,8]=>[1,1,2,1,1,2]=>11101110=>3 [3,2,5,4,6,7,8,1]=>[6,7,4,5,3,2,1,8]=>[2,2,1,1,2]=>10101110=>5 [2,3,5,4,6,7,8,1]=>[7,6,4,5,3,2,1,8]=>[1,1,2,1,1,2]=>11101110=>3 [2,4,3,5,6,7,8,1]=>[7,5,6,4,3,2,1,8]=>[1,2,1,1,1,2]=>11011110=>3 [1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[1,7]=>11000000=>1 [1,7,8,6,5,4,3,2]=>[8,2,1,3,4,5,6,7]=>[1,1,6]=>11100000=>1 [1,6,8,7,5,4,3,2]=>[8,3,1,2,4,5,6,7]=>[1,1,6]=>11100000=>1 [1,7,6,8,5,4,3,2]=>[8,2,3,1,4,5,6,7]=>[1,2,5]=>11010000=>3 [1,6,7,8,5,4,3,2]=>[8,3,2,1,4,5,6,7]=>[1,1,1,5]=>11110000=>1 [1,5,8,7,6,4,3,2]=>[8,4,1,2,3,5,6,7]=>[1,1,6]=>11100000=>1 [1,5,7,8,6,4,3,2]=>[8,4,2,1,3,5,6,7]=>[1,1,1,5]=>11110000=>1 [1,6,5,8,7,4,3,2]=>[8,3,4,1,2,5,6,7]=>[1,2,5]=>11010000=>3 [1,5,6,8,7,4,3,2]=>[8,4,3,1,2,5,6,7]=>[1,1,1,5]=>11110000=>1 [1,7,6,5,8,4,3,2]=>[8,2,3,4,1,5,6,7]=>[1,3,4]=>11001000=>3 [1,6,7,5,8,4,3,2]=>[8,3,2,4,1,5,6,7]=>[1,1,2,4]=>11101000=>3 [1,5,7,6,8,4,3,2]=>[8,4,2,3,1,5,6,7]=>[1,1,2,4]=>11101000=>3 [1,6,5,7,8,4,3,2]=>[8,3,4,2,1,5,6,7]=>[1,2,1,4]=>11011000=>3 [1,5,6,7,8,4,3,2]=>[8,4,3,2,1,5,6,7]=>[1,1,1,1,4]=>11111000=>1 [1,4,8,7,6,5,3,2]=>[8,5,1,2,3,4,6,7]=>[1,1,6]=>11100000=>1 [1,4,7,8,6,5,3,2]=>[8,5,2,1,3,4,6,7]=>[1,1,1,5]=>11110000=>1 [1,4,6,8,7,5,3,2]=>[8,5,3,1,2,4,6,7]=>[1,1,1,5]=>11110000=>1 [1,4,7,6,8,5,3,2]=>[8,5,2,3,1,4,6,7]=>[1,1,2,4]=>11101000=>3 [1,4,6,7,8,5,3,2]=>[8,5,3,2,1,4,6,7]=>[1,1,1,1,4]=>11111000=>1 [1,5,4,8,7,6,3,2]=>[8,4,5,1,2,3,6,7]=>[1,2,5]=>11010000=>3 [1,5,4,7,8,6,3,2]=>[8,4,5,2,1,3,6,7]=>[1,2,1,4]=>11011000=>3 [1,4,5,8,7,6,3,2]=>[8,5,4,1,2,3,6,7]=>[1,1,1,5]=>11110000=>1 [1,4,5,7,8,6,3,2]=>[8,5,4,2,1,3,6,7]=>[1,1,1,1,4]=>11111000=>1 [1,6,5,4,8,7,3,2]=>[8,3,4,5,1,2,6,7]=>[1,3,4]=>11001000=>3 [1,5,6,4,8,7,3,2]=>[8,4,3,5,1,2,6,7]=>[1,1,2,4]=>11101000=>3 [1,4,6,5,8,7,3,2]=>[8,5,3,4,1,2,6,7]=>[1,1,2,4]=>11101000=>3 [1,4,5,6,8,7,3,2]=>[8,5,4,3,1,2,6,7]=>[1,1,1,1,4]=>11111000=>1 [1,7,6,5,4,8,3,2]=>[8,2,3,4,5,1,6,7]=>[1,4,3]=>11000100=>3 [1,5,7,6,4,8,3,2]=>[8,4,2,3,5,1,6,7]=>[1,1,3,3]=>11100100=>3 [1,4,7,6,5,8,3,2]=>[8,5,2,3,4,1,6,7]=>[1,1,3,3]=>11100100=>3 [1,4,6,7,5,8,3,2]=>[8,5,3,2,4,1,6,7]=>[1,1,1,2,3]=>11110100=>3 [1,5,4,7,6,8,3,2]=>[8,4,5,2,3,1,6,7]=>[1,2,2,3]=>11010100=>5 [1,4,5,7,6,8,3,2]=>[8,5,4,2,3,1,6,7]=>[1,1,1,2,3]=>11110100=>3 [1,6,5,4,7,8,3,2]=>[8,3,4,5,2,1,6,7]=>[1,3,1,3]=>11001100=>3 [1,5,6,4,7,8,3,2]=>[8,4,3,5,2,1,6,7]=>[1,1,2,1,3]=>11101100=>3 [1,5,4,6,7,8,3,2]=>[8,4,5,3,2,1,6,7]=>[1,2,1,1,3]=>11011100=>3 [1,4,5,6,7,8,3,2]=>[8,5,4,3,2,1,6,7]=>[1,1,1,1,1,3]=>11111100=>1 [1,3,8,7,6,5,4,2]=>[8,6,1,2,3,4,5,7]=>[1,1,6]=>11100000=>1 [1,3,7,6,8,5,4,2]=>[8,6,2,3,1,4,5,7]=>[1,1,2,4]=>11101000=>3 [1,3,6,7,8,5,4,2]=>[8,6,3,2,1,4,5,7]=>[1,1,1,1,4]=>11111000=>1 [1,3,5,8,7,6,4,2]=>[8,6,4,1,2,3,5,7]=>[1,1,1,5]=>11110000=>1 [1,3,5,7,8,6,4,2]=>[8,6,4,2,1,3,5,7]=>[1,1,1,1,4]=>11111000=>1 [1,3,6,5,8,7,4,2]=>[8,6,3,4,1,2,5,7]=>[1,1,2,4]=>11101000=>3 [1,3,5,6,8,7,4,2]=>[8,6,4,3,1,2,5,7]=>[1,1,1,1,4]=>11111000=>1 [1,3,7,6,5,8,4,2]=>[8,6,2,3,4,1,5,7]=>[1,1,3,3]=>11100100=>3 [1,3,6,7,5,8,4,2]=>[8,6,3,2,4,1,5,7]=>[1,1,1,2,3]=>11110100=>3 [1,3,5,7,6,8,4,2]=>[8,6,4,2,3,1,5,7]=>[1,1,1,2,3]=>11110100=>3 [1,3,6,5,7,8,4,2]=>[8,6,3,4,2,1,5,7]=>[1,1,2,1,3]=>11101100=>3 [1,3,5,6,7,8,4,2]=>[8,6,4,3,2,1,5,7]=>[1,1,1,1,1,3]=>11111100=>1 [1,4,3,8,7,6,5,2]=>[8,5,6,1,2,3,4,7]=>[1,2,5]=>11010000=>3 [1,4,3,7,8,6,5,2]=>[8,5,6,2,1,3,4,7]=>[1,2,1,4]=>11011000=>3 [1,4,3,6,8,7,5,2]=>[8,5,6,3,1,2,4,7]=>[1,2,1,4]=>11011000=>3 [1,4,3,7,6,8,5,2]=>[8,5,6,2,3,1,4,7]=>[1,2,2,3]=>11010100=>5 [1,4,3,6,7,8,5,2]=>[8,5,6,3,2,1,4,7]=>[1,2,1,1,3]=>11011100=>3 [1,3,4,8,7,6,5,2]=>[8,6,5,1,2,3,4,7]=>[1,1,1,5]=>11110000=>1 [1,3,4,7,8,6,5,2]=>[8,6,5,2,1,3,4,7]=>[1,1,1,1,4]=>11111000=>1 [1,3,4,6,8,7,5,2]=>[8,6,5,3,1,2,4,7]=>[1,1,1,1,4]=>11111000=>1 [1,3,4,7,6,8,5,2]=>[8,6,5,2,3,1,4,7]=>[1,1,1,2,3]=>11110100=>3 [1,3,4,6,7,8,5,2]=>[8,6,5,3,2,1,4,7]=>[1,1,1,1,1,3]=>11111100=>1 [1,5,4,3,8,7,6,2]=>[8,4,5,6,1,2,3,7]=>[1,3,4]=>11001000=>3 [1,5,4,3,7,8,6,2]=>[8,4,5,6,2,1,3,7]=>[1,3,1,3]=>11001100=>3 [1,4,5,3,8,7,6,2]=>[8,5,4,6,1,2,3,7]=>[1,1,2,4]=>11101000=>3 [1,4,5,3,7,8,6,2]=>[8,5,4,6,2,1,3,7]=>[1,1,2,1,3]=>11101100=>3 [1,3,5,4,8,7,6,2]=>[8,6,4,5,1,2,3,7]=>[1,1,2,4]=>11101000=>3 [1,3,5,4,7,8,6,2]=>[8,6,4,5,2,1,3,7]=>[1,1,2,1,3]=>11101100=>3 [1,4,3,5,8,7,6,2]=>[8,5,6,4,1,2,3,7]=>[1,2,1,4]=>11011000=>3 [1,4,3,5,7,8,6,2]=>[8,5,6,4,2,1,3,7]=>[1,2,1,1,3]=>11011100=>3 [1,3,4,5,8,7,6,2]=>[8,6,5,4,1,2,3,7]=>[1,1,1,1,4]=>11111000=>1 [1,3,4,5,7,8,6,2]=>[8,6,5,4,2,1,3,7]=>[1,1,1,1,1,3]=>11111100=>1 [1,6,5,4,3,8,7,2]=>[8,3,4,5,6,1,2,7]=>[1,4,3]=>11000100=>3 [1,5,6,4,3,8,7,2]=>[8,4,3,5,6,1,2,7]=>[1,1,3,3]=>11100100=>3 [1,4,6,5,3,8,7,2]=>[8,5,3,4,6,1,2,7]=>[1,1,3,3]=>11100100=>3 [1,5,4,6,3,8,7,2]=>[8,4,5,3,6,1,2,7]=>[1,2,2,3]=>11010100=>5 [1,4,5,6,3,8,7,2]=>[8,5,4,3,6,1,2,7]=>[1,1,1,2,3]=>11110100=>3 [1,3,6,5,4,8,7,2]=>[8,6,3,4,5,1,2,7]=>[1,1,3,3]=>11100100=>3 [1,3,5,6,4,8,7,2]=>[8,6,4,3,5,1,2,7]=>[1,1,1,2,3]=>11110100=>3 [1,4,3,6,5,8,7,2]=>[8,5,6,3,4,1,2,7]=>[1,2,2,3]=>11010100=>5 [1,3,4,6,5,8,7,2]=>[8,6,5,3,4,1,2,7]=>[1,1,1,2,3]=>11110100=>3 [1,4,5,3,6,8,7,2]=>[8,5,4,6,3,1,2,7]=>[1,1,2,1,3]=>11101100=>3 [1,3,5,4,6,8,7,2]=>[8,6,4,5,3,1,2,7]=>[1,1,2,1,3]=>11101100=>3 [1,3,4,5,6,8,7,2]=>[8,6,5,4,3,1,2,7]=>[1,1,1,1,1,3]=>11111100=>1 [1,7,6,5,4,3,8,2]=>[8,2,3,4,5,6,1,7]=>[1,5,2]=>11000010=>3 [1,6,7,5,4,3,8,2]=>[8,3,2,4,5,6,1,7]=>[1,1,4,2]=>11100010=>3 [1,5,7,6,4,3,8,2]=>[8,4,2,3,5,6,1,7]=>[1,1,4,2]=>11100010=>3 [1,6,5,7,4,3,8,2]=>[8,3,4,2,5,6,1,7]=>[1,2,3,2]=>11010010=>5 [1,5,6,7,4,3,8,2]=>[8,4,3,2,5,6,1,7]=>[1,1,1,3,2]=>11110010=>3 [1,4,7,6,5,3,8,2]=>[8,5,2,3,4,6,1,7]=>[1,1,4,2]=>11100010=>3 [1,4,6,7,5,3,8,2]=>[8,5,3,2,4,6,1,7]=>[1,1,1,3,2]=>11110010=>3 [1,5,4,7,6,3,8,2]=>[8,4,5,2,3,6,1,7]=>[1,2,3,2]=>11010010=>5 [1,4,5,7,6,3,8,2]=>[8,5,4,2,3,6,1,7]=>[1,1,1,3,2]=>11110010=>3 [1,6,5,4,7,3,8,2]=>[8,3,4,5,2,6,1,7]=>[1,3,2,2]=>11001010=>5 [1,5,6,4,7,3,8,2]=>[8,4,3,5,2,6,1,7]=>[1,1,2,2,2]=>11101010=>5 [1,4,6,5,7,3,8,2]=>[8,5,3,4,2,6,1,7]=>[1,1,2,2,2]=>11101010=>5 [1,5,4,6,7,3,8,2]=>[8,4,5,3,2,6,1,7]=>[1,2,1,2,2]=>11011010=>5 [1,4,5,6,7,3,8,2]=>[8,5,4,3,2,6,1,7]=>[1,1,1,1,2,2]=>11111010=>3 [1,3,6,7,5,4,8,2]=>[8,6,3,2,4,5,1,7]=>[1,1,1,3,2]=>11110010=>3 [1,3,5,7,6,4,8,2]=>[8,6,4,2,3,5,1,7]=>[1,1,1,3,2]=>11110010=>3 [1,3,6,5,7,4,8,2]=>[8,6,3,4,2,5,1,7]=>[1,1,2,2,2]=>11101010=>5 [1,3,5,6,7,4,8,2]=>[8,6,4,3,2,5,1,7]=>[1,1,1,1,2,2]=>11111010=>3 [1,4,3,7,6,5,8,2]=>[8,5,6,2,3,4,1,7]=>[1,2,3,2]=>11010010=>5 [1,3,4,7,6,5,8,2]=>[8,6,5,2,3,4,1,7]=>[1,1,1,3,2]=>11110010=>3 [1,3,4,6,7,5,8,2]=>[8,6,5,3,2,4,1,7]=>[1,1,1,1,2,2]=>11111010=>3 [1,5,4,3,7,6,8,2]=>[8,4,5,6,2,3,1,7]=>[1,3,2,2]=>11001010=>5 [1,3,5,4,7,6,8,2]=>[8,6,4,5,2,3,1,7]=>[1,1,2,2,2]=>11101010=>5 [1,4,3,5,7,6,8,2]=>[8,5,6,4,2,3,1,7]=>[1,2,1,2,2]=>11011010=>5 [1,3,4,5,7,6,8,2]=>[8,6,5,4,2,3,1,7]=>[1,1,1,1,2,2]=>11111010=>3 [1,6,5,4,3,7,8,2]=>[8,3,4,5,6,2,1,7]=>[1,4,1,2]=>11000110=>3 [1,5,6,4,3,7,8,2]=>[8,4,3,5,6,2,1,7]=>[1,1,3,1,2]=>11100110=>3 [1,5,4,6,3,7,8,2]=>[8,4,5,3,6,2,1,7]=>[1,2,2,1,2]=>11010110=>5 [1,4,5,6,3,7,8,2]=>[8,5,4,3,6,2,1,7]=>[1,1,1,2,1,2]=>11110110=>3 [1,3,5,6,4,7,8,2]=>[8,6,4,3,5,2,1,7]=>[1,1,1,2,1,2]=>11110110=>3 [1,4,3,6,5,7,8,2]=>[8,5,6,3,4,2,1,7]=>[1,2,2,1,2]=>11010110=>5 [1,3,4,6,5,7,8,2]=>[8,6,5,3,4,2,1,7]=>[1,1,1,2,1,2]=>11110110=>3 [1,5,4,3,6,7,8,2]=>[8,4,5,6,3,2,1,7]=>[1,3,1,1,2]=>11001110=>3 [1,3,5,4,6,7,8,2]=>[8,6,4,5,3,2,1,7]=>[1,1,2,1,1,2]=>11101110=>3 [1,4,3,5,6,7,8,2]=>[8,5,6,4,3,2,1,7]=>[1,2,1,1,1,2]=>11011110=>3 [1,3,4,5,6,7,8,2]=>[8,6,5,4,3,2,1,7]=>[1,1,1,1,1,1,2]=>11111110=>1 [2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[2,6]=>10100000=>3 [2,1,7,8,6,5,4,3]=>[7,8,2,1,3,4,5,6]=>[2,1,5]=>10110000=>3 [2,1,6,8,7,5,4,3]=>[7,8,3,1,2,4,5,6]=>[2,1,5]=>10110000=>3 [2,1,7,6,8,5,4,3]=>[7,8,2,3,1,4,5,6]=>[2,2,4]=>10101000=>5 [2,1,6,7,8,5,4,3]=>[7,8,3,2,1,4,5,6]=>[2,1,1,4]=>10111000=>3 [2,1,5,8,7,6,4,3]=>[7,8,4,1,2,3,5,6]=>[2,1,5]=>10110000=>3 [2,1,5,7,8,6,4,3]=>[7,8,4,2,1,3,5,6]=>[2,1,1,4]=>10111000=>3 [2,1,6,5,8,7,4,3]=>[7,8,3,4,1,2,5,6]=>[2,2,4]=>10101000=>5 [2,1,5,6,8,7,4,3]=>[7,8,4,3,1,2,5,6]=>[2,1,1,4]=>10111000=>3 [2,1,7,6,5,8,4,3]=>[7,8,2,3,4,1,5,6]=>[2,3,3]=>10100100=>5 [2,1,6,7,5,8,4,3]=>[7,8,3,2,4,1,5,6]=>[2,1,2,3]=>10110100=>5 [2,1,5,7,6,8,4,3]=>[7,8,4,2,3,1,5,6]=>[2,1,2,3]=>10110100=>5 [2,1,6,5,7,8,4,3]=>[7,8,3,4,2,1,5,6]=>[2,2,1,3]=>10101100=>5 [2,1,5,6,7,8,4,3]=>[7,8,4,3,2,1,5,6]=>[2,1,1,1,3]=>10111100=>3 [2,1,4,8,7,6,5,3]=>[7,8,5,1,2,3,4,6]=>[2,1,5]=>10110000=>3 [2,1,4,7,8,6,5,3]=>[7,8,5,2,1,3,4,6]=>[2,1,1,4]=>10111000=>3 [2,1,4,6,8,7,5,3]=>[7,8,5,3,1,2,4,6]=>[2,1,1,4]=>10111000=>3 [2,1,4,7,6,8,5,3]=>[7,8,5,2,3,1,4,6]=>[2,1,2,3]=>10110100=>5 [2,1,4,6,7,8,5,3]=>[7,8,5,3,2,1,4,6]=>[2,1,1,1,3]=>10111100=>3 [2,1,5,4,8,7,6,3]=>[7,8,4,5,1,2,3,6]=>[2,2,4]=>10101000=>5 [2,1,5,4,7,8,6,3]=>[7,8,4,5,2,1,3,6]=>[2,2,1,3]=>10101100=>5 [2,1,4,5,8,7,6,3]=>[7,8,5,4,1,2,3,6]=>[2,1,1,4]=>10111000=>3 [2,1,4,5,7,8,6,3]=>[7,8,5,4,2,1,3,6]=>[2,1,1,1,3]=>10111100=>3 [2,1,6,5,4,8,7,3]=>[7,8,3,4,5,1,2,6]=>[2,3,3]=>10100100=>5 [2,1,5,6,4,8,7,3]=>[7,8,4,3,5,1,2,6]=>[2,1,2,3]=>10110100=>5 [2,1,4,6,5,8,7,3]=>[7,8,5,3,4,1,2,6]=>[2,1,2,3]=>10110100=>5 [2,1,4,5,6,8,7,3]=>[7,8,5,4,3,1,2,6]=>[2,1,1,1,3]=>10111100=>3 [2,1,7,6,5,4,8,3]=>[7,8,2,3,4,5,1,6]=>[2,4,2]=>10100010=>5 [2,1,6,7,5,4,8,3]=>[7,8,3,2,4,5,1,6]=>[2,1,3,2]=>10110010=>5 [2,1,6,5,7,4,8,3]=>[7,8,3,4,2,5,1,6]=>[2,2,2,2]=>10101010=>7 [2,1,5,6,7,4,8,3]=>[7,8,4,3,2,5,1,6]=>[2,1,1,2,2]=>10111010=>5 [2,1,4,7,6,5,8,3]=>[7,8,5,2,3,4,1,6]=>[2,1,3,2]=>10110010=>5 [2,1,4,6,7,5,8,3]=>[7,8,5,3,2,4,1,6]=>[2,1,1,2,2]=>10111010=>5 [2,1,5,4,7,6,8,3]=>[7,8,4,5,2,3,1,6]=>[2,2,2,2]=>10101010=>7 [2,1,6,5,4,7,8,3]=>[7,8,3,4,5,2,1,6]=>[2,3,1,2]=>10100110=>5 [2,1,5,6,4,7,8,3]=>[7,8,4,3,5,2,1,6]=>[2,1,2,1,2]=>10110110=>5 [2,1,5,4,6,7,8,3]=>[7,8,4,5,3,2,1,6]=>[2,2,1,1,2]=>10101110=>5 [2,1,4,5,6,7,8,3]=>[7,8,5,4,3,2,1,6]=>[2,1,1,1,1,2]=>10111110=>3 [1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[1,1,6]=>11100000=>1 [1,2,7,8,6,5,4,3]=>[8,7,2,1,3,4,5,6]=>[1,1,1,5]=>11110000=>1 [1,2,7,6,8,5,4,3]=>[8,7,2,3,1,4,5,6]=>[1,1,2,4]=>11101000=>3 [1,2,6,7,8,5,4,3]=>[8,7,3,2,1,4,5,6]=>[1,1,1,1,4]=>11111000=>1 [1,2,5,8,7,6,4,3]=>[8,7,4,1,2,3,5,6]=>[1,1,1,5]=>11110000=>1 [1,2,5,7,8,6,4,3]=>[8,7,4,2,1,3,5,6]=>[1,1,1,1,4]=>11111000=>1 [1,2,6,5,8,7,4,3]=>[8,7,3,4,1,2,5,6]=>[1,1,2,4]=>11101000=>3 [1,2,5,6,8,7,4,3]=>[8,7,4,3,1,2,5,6]=>[1,1,1,1,4]=>11111000=>1 [1,2,7,6,5,8,4,3]=>[8,7,2,3,4,1,5,6]=>[1,1,3,3]=>11100100=>3 [1,2,6,7,5,8,4,3]=>[8,7,3,2,4,1,5,6]=>[1,1,1,2,3]=>11110100=>3 [1,2,6,5,7,8,4,3]=>[8,7,3,4,2,1,5,6]=>[1,1,2,1,3]=>11101100=>3 [1,2,5,6,7,8,4,3]=>[8,7,4,3,2,1,5,6]=>[1,1,1,1,1,3]=>11111100=>1 [1,2,4,8,7,6,5,3]=>[8,7,5,1,2,3,4,6]=>[1,1,1,5]=>11110000=>1 [1,2,4,7,8,6,5,3]=>[8,7,5,2,1,3,4,6]=>[1,1,1,1,4]=>11111000=>1 [1,2,4,6,8,7,5,3]=>[8,7,5,3,1,2,4,6]=>[1,1,1,1,4]=>11111000=>1 [1,2,4,7,6,8,5,3]=>[8,7,5,2,3,1,4,6]=>[1,1,1,2,3]=>11110100=>3 [1,2,4,6,7,8,5,3]=>[8,7,5,3,2,1,4,6]=>[1,1,1,1,1,3]=>11111100=>1 [1,2,5,4,8,7,6,3]=>[8,7,4,5,1,2,3,6]=>[1,1,2,4]=>11101000=>3 [1,2,4,5,8,7,6,3]=>[8,7,5,4,1,2,3,6]=>[1,1,1,1,4]=>11111000=>1 [1,2,4,5,7,8,6,3]=>[8,7,5,4,2,1,3,6]=>[1,1,1,1,1,3]=>11111100=>1 [1,2,6,5,4,8,7,3]=>[8,7,3,4,5,1,2,6]=>[1,1,3,3]=>11100100=>3 [1,2,5,6,4,8,7,3]=>[8,7,4,3,5,1,2,6]=>[1,1,1,2,3]=>11110100=>3 [1,2,4,6,5,8,7,3]=>[8,7,5,3,4,1,2,6]=>[1,1,1,2,3]=>11110100=>3 [1,2,4,5,6,8,7,3]=>[8,7,5,4,3,1,2,6]=>[1,1,1,1,1,3]=>11111100=>1 [1,2,7,6,5,4,8,3]=>[8,7,2,3,4,5,1,6]=>[1,1,4,2]=>11100010=>3 [1,2,6,7,5,4,8,3]=>[8,7,3,2,4,5,1,6]=>[1,1,1,3,2]=>11110010=>3 [1,2,5,7,6,4,8,3]=>[8,7,4,2,3,5,1,6]=>[1,1,1,3,2]=>11110010=>3 [1,2,6,5,7,4,8,3]=>[8,7,3,4,2,5,1,6]=>[1,1,2,2,2]=>11101010=>5 [1,2,5,6,7,4,8,3]=>[8,7,4,3,2,5,1,6]=>[1,1,1,1,2,2]=>11111010=>3 [1,2,4,7,6,5,8,3]=>[8,7,5,2,3,4,1,6]=>[1,1,1,3,2]=>11110010=>3 [1,2,4,6,7,5,8,3]=>[8,7,5,3,2,4,1,6]=>[1,1,1,1,2,2]=>11111010=>3 [1,2,5,4,7,6,8,3]=>[8,7,4,5,2,3,1,6]=>[1,1,2,2,2]=>11101010=>5 [1,2,4,5,7,6,8,3]=>[8,7,5,4,2,3,1,6]=>[1,1,1,1,2,2]=>11111010=>3 [1,2,6,5,4,7,8,3]=>[8,7,3,4,5,2,1,6]=>[1,1,3,1,2]=>11100110=>3 [1,2,5,6,4,7,8,3]=>[8,7,4,3,5,2,1,6]=>[1,1,1,2,1,2]=>11110110=>3 [1,2,4,6,5,7,8,3]=>[8,7,5,3,4,2,1,6]=>[1,1,1,2,1,2]=>11110110=>3 [1,2,5,4,6,7,8,3]=>[8,7,4,5,3,2,1,6]=>[1,1,2,1,1,2]=>11101110=>3 [1,2,4,5,6,7,8,3]=>[8,7,5,4,3,2,1,6]=>[1,1,1,1,1,1,2]=>11111110=>1 [3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[3,5]=>10010000=>3 [3,2,1,7,8,6,5,4]=>[6,7,8,2,1,3,4,5]=>[3,1,4]=>10011000=>3 [3,2,1,6,8,7,5,4]=>[6,7,8,3,1,2,4,5]=>[3,1,4]=>10011000=>3 [3,2,1,7,6,8,5,4]=>[6,7,8,2,3,1,4,5]=>[3,2,3]=>10010100=>5 [3,2,1,6,7,8,5,4]=>[6,7,8,3,2,1,4,5]=>[3,1,1,3]=>10011100=>3 [3,2,1,5,8,7,6,4]=>[6,7,8,4,1,2,3,5]=>[3,1,4]=>10011000=>3 [3,2,1,5,7,8,6,4]=>[6,7,8,4,2,1,3,5]=>[3,1,1,3]=>10011100=>3 [3,2,1,6,5,8,7,4]=>[6,7,8,3,4,1,2,5]=>[3,2,3]=>10010100=>5 [3,2,1,5,6,8,7,4]=>[6,7,8,4,3,1,2,5]=>[3,1,1,3]=>10011100=>3 [3,2,1,7,6,5,8,4]=>[6,7,8,2,3,4,1,5]=>[3,3,2]=>10010010=>5 [3,2,1,6,7,5,8,4]=>[6,7,8,3,2,4,1,5]=>[3,1,2,2]=>10011010=>5 [3,2,1,5,7,6,8,4]=>[6,7,8,4,2,3,1,5]=>[3,1,2,2]=>10011010=>5 [3,2,1,6,5,7,8,4]=>[6,7,8,3,4,2,1,5]=>[3,2,1,2]=>10010110=>5 [3,2,1,5,6,7,8,4]=>[6,7,8,4,3,2,1,5]=>[3,1,1,1,2]=>10011110=>3 [2,3,1,8,7,6,5,4]=>[7,6,8,1,2,3,4,5]=>[1,2,5]=>11010000=>3 [2,3,1,7,8,6,5,4]=>[7,6,8,2,1,3,4,5]=>[1,2,1,4]=>11011000=>3 [2,3,1,6,8,7,5,4]=>[7,6,8,3,1,2,4,5]=>[1,2,1,4]=>11011000=>3 [2,3,1,7,6,8,5,4]=>[7,6,8,2,3,1,4,5]=>[1,2,2,3]=>11010100=>5 [2,3,1,6,7,8,5,4]=>[7,6,8,3,2,1,4,5]=>[1,2,1,1,3]=>11011100=>3 [2,3,1,5,8,7,6,4]=>[7,6,8,4,1,2,3,5]=>[1,2,1,4]=>11011000=>3 [2,3,1,5,7,8,6,4]=>[7,6,8,4,2,1,3,5]=>[1,2,1,1,3]=>11011100=>3 [2,3,1,6,5,8,7,4]=>[7,6,8,3,4,1,2,5]=>[1,2,2,3]=>11010100=>5 [2,3,1,5,6,8,7,4]=>[7,6,8,4,3,1,2,5]=>[1,2,1,1,3]=>11011100=>3 [2,3,1,7,6,5,8,4]=>[7,6,8,2,3,4,1,5]=>[1,2,3,2]=>11010010=>5 [2,3,1,6,7,5,8,4]=>[7,6,8,3,2,4,1,5]=>[1,2,1,2,2]=>11011010=>5 [2,3,1,5,7,6,8,4]=>[7,6,8,4,2,3,1,5]=>[1,2,1,2,2]=>11011010=>5 [2,3,1,5,6,7,8,4]=>[7,6,8,4,3,2,1,5]=>[1,2,1,1,1,2]=>11011110=>3 [1,3,2,8,7,6,5,4]=>[8,6,7,1,2,3,4,5]=>[1,2,5]=>11010000=>3 [1,3,2,7,8,6,5,4]=>[8,6,7,2,1,3,4,5]=>[1,2,1,4]=>11011000=>3 [1,3,2,6,8,7,5,4]=>[8,6,7,3,1,2,4,5]=>[1,2,1,4]=>11011000=>3 [1,3,2,7,6,8,5,4]=>[8,6,7,2,3,1,4,5]=>[1,2,2,3]=>11010100=>5 [1,3,2,6,7,8,5,4]=>[8,6,7,3,2,1,4,5]=>[1,2,1,1,3]=>11011100=>3 [1,3,2,5,8,7,6,4]=>[8,6,7,4,1,2,3,5]=>[1,2,1,4]=>11011000=>3 [1,3,2,5,7,8,6,4]=>[8,6,7,4,2,1,3,5]=>[1,2,1,1,3]=>11011100=>3 [1,3,2,6,5,8,7,4]=>[8,6,7,3,4,1,2,5]=>[1,2,2,3]=>11010100=>5 [1,3,2,5,6,8,7,4]=>[8,6,7,4,3,1,2,5]=>[1,2,1,1,3]=>11011100=>3 [1,3,2,7,6,5,8,4]=>[8,6,7,2,3,4,1,5]=>[1,2,3,2]=>11010010=>5 [1,3,2,6,7,5,8,4]=>[8,6,7,3,2,4,1,5]=>[1,2,1,2,2]=>11011010=>5 [1,3,2,5,7,6,8,4]=>[8,6,7,4,2,3,1,5]=>[1,2,1,2,2]=>11011010=>5 [1,3,2,6,5,7,8,4]=>[8,6,7,3,4,2,1,5]=>[1,2,2,1,2]=>11010110=>5 [1,3,2,5,6,7,8,4]=>[8,6,7,4,3,2,1,5]=>[1,2,1,1,1,2]=>11011110=>3 [2,1,3,8,7,6,5,4]=>[7,8,6,1,2,3,4,5]=>[2,1,5]=>10110000=>3 [2,1,3,7,8,6,5,4]=>[7,8,6,2,1,3,4,5]=>[2,1,1,4]=>10111000=>3 [2,1,3,6,8,7,5,4]=>[7,8,6,3,1,2,4,5]=>[2,1,1,4]=>10111000=>3 [2,1,3,7,6,8,5,4]=>[7,8,6,2,3,1,4,5]=>[2,1,2,3]=>10110100=>5 [2,1,3,6,7,8,5,4]=>[7,8,6,3,2,1,4,5]=>[2,1,1,1,3]=>10111100=>3 [2,1,3,5,8,7,6,4]=>[7,8,6,4,1,2,3,5]=>[2,1,1,4]=>10111000=>3 [2,1,3,5,7,8,6,4]=>[7,8,6,4,2,1,3,5]=>[2,1,1,1,3]=>10111100=>3 [2,1,3,6,5,8,7,4]=>[7,8,6,3,4,1,2,5]=>[2,1,2,3]=>10110100=>5 [2,1,3,5,6,8,7,4]=>[7,8,6,4,3,1,2,5]=>[2,1,1,1,3]=>10111100=>3 [2,1,3,7,6,5,8,4]=>[7,8,6,2,3,4,1,5]=>[2,1,3,2]=>10110010=>5 [2,1,3,5,7,6,8,4]=>[7,8,6,4,2,3,1,5]=>[2,1,1,2,2]=>10111010=>5 [2,1,3,6,5,7,8,4]=>[7,8,6,3,4,2,1,5]=>[2,1,2,1,2]=>10110110=>5 [2,1,3,5,6,7,8,4]=>[7,8,6,4,3,2,1,5]=>[2,1,1,1,1,2]=>10111110=>3 [1,2,3,8,7,6,5,4]=>[8,7,6,1,2,3,4,5]=>[1,1,1,5]=>11110000=>1 [1,2,3,7,8,6,5,4]=>[8,7,6,2,1,3,4,5]=>[1,1,1,1,4]=>11111000=>1 [1,2,3,6,8,7,5,4]=>[8,7,6,3,1,2,4,5]=>[1,1,1,1,4]=>11111000=>1 [1,2,3,7,6,8,5,4]=>[8,7,6,2,3,1,4,5]=>[1,1,1,2,3]=>11110100=>3 [1,2,3,6,7,8,5,4]=>[8,7,6,3,2,1,4,5]=>[1,1,1,1,1,3]=>11111100=>1 [1,2,3,5,8,7,6,4]=>[8,7,6,4,1,2,3,5]=>[1,1,1,1,4]=>11111000=>1 [1,2,3,5,7,8,6,4]=>[8,7,6,4,2,1,3,5]=>[1,1,1,1,1,3]=>11111100=>1 [1,2,3,6,5,8,7,4]=>[8,7,6,3,4,1,2,5]=>[1,1,1,2,3]=>11110100=>3 [1,2,3,5,6,8,7,4]=>[8,7,6,4,3,1,2,5]=>[1,1,1,1,1,3]=>11111100=>1 [1,2,3,7,6,5,8,4]=>[8,7,6,2,3,4,1,5]=>[1,1,1,3,2]=>11110010=>3 [1,2,3,6,7,5,8,4]=>[8,7,6,3,2,4,1,5]=>[1,1,1,1,2,2]=>11111010=>3 [1,2,3,5,7,6,8,4]=>[8,7,6,4,2,3,1,5]=>[1,1,1,1,2,2]=>11111010=>3 [1,2,3,6,5,7,8,4]=>[8,7,6,3,4,2,1,5]=>[1,1,1,2,1,2]=>11110110=>3 [1,2,3,5,6,7,8,4]=>[8,7,6,4,3,2,1,5]=>[1,1,1,1,1,1,2]=>11111110=>1 [4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>[4,4]=>10001000=>3 [4,3,2,1,7,8,6,5]=>[5,6,7,8,2,1,3,4]=>[4,1,3]=>10001100=>3 [4,3,2,1,6,8,7,5]=>[5,6,7,8,3,1,2,4]=>[4,1,3]=>10001100=>3 [4,3,2,1,7,6,8,5]=>[5,6,7,8,2,3,1,4]=>[4,2,2]=>10001010=>5 [4,3,2,1,6,7,8,5]=>[5,6,7,8,3,2,1,4]=>[4,1,1,2]=>10001110=>3 [3,4,2,1,8,7,6,5]=>[6,5,7,8,1,2,3,4]=>[1,3,4]=>11001000=>3 [3,4,2,1,7,8,6,5]=>[6,5,7,8,2,1,3,4]=>[1,3,1,3]=>11001100=>3 [3,4,2,1,6,8,7,5]=>[6,5,7,8,3,1,2,4]=>[1,3,1,3]=>11001100=>3 [3,4,2,1,7,6,8,5]=>[6,5,7,8,2,3,1,4]=>[1,3,2,2]=>11001010=>5 [3,4,2,1,6,7,8,5]=>[6,5,7,8,3,2,1,4]=>[1,3,1,1,2]=>11001110=>3 [2,4,3,1,8,7,6,5]=>[7,5,6,8,1,2,3,4]=>[1,3,4]=>11001000=>3 [2,4,3,1,7,8,6,5]=>[7,5,6,8,2,1,3,4]=>[1,3,1,3]=>11001100=>3 [2,4,3,1,6,8,7,5]=>[7,5,6,8,3,1,2,4]=>[1,3,1,3]=>11001100=>3 [2,4,3,1,7,6,8,5]=>[7,5,6,8,2,3,1,4]=>[1,3,2,2]=>11001010=>5 [2,4,3,1,6,7,8,5]=>[7,5,6,8,3,2,1,4]=>[1,3,1,1,2]=>11001110=>3 [3,2,4,1,8,7,6,5]=>[6,7,5,8,1,2,3,4]=>[2,2,4]=>10101000=>5 [3,2,4,1,7,8,6,5]=>[6,7,5,8,2,1,3,4]=>[2,2,1,3]=>10101100=>5 [3,2,4,1,6,8,7,5]=>[6,7,5,8,3,1,2,4]=>[2,2,1,3]=>10101100=>5 [3,2,4,1,7,6,8,5]=>[6,7,5,8,2,3,1,4]=>[2,2,2,2]=>10101010=>7 [3,2,4,1,6,7,8,5]=>[6,7,5,8,3,2,1,4]=>[2,2,1,1,2]=>10101110=>5 [2,3,4,1,8,7,6,5]=>[7,6,5,8,1,2,3,4]=>[1,1,2,4]=>11101000=>3 [2,3,4,1,7,8,6,5]=>[7,6,5,8,2,1,3,4]=>[1,1,2,1,3]=>11101100=>3 [2,3,4,1,6,8,7,5]=>[7,6,5,8,3,1,2,4]=>[1,1,2,1,3]=>11101100=>3 [2,3,4,1,7,6,8,5]=>[7,6,5,8,2,3,1,4]=>[1,1,2,2,2]=>11101010=>5 [2,3,4,1,6,7,8,5]=>[7,6,5,8,3,2,1,4]=>[1,1,2,1,1,2]=>11101110=>3 [1,4,3,2,8,7,6,5]=>[8,5,6,7,1,2,3,4]=>[1,3,4]=>11001000=>3 [1,4,3,2,7,8,6,5]=>[8,5,6,7,2,1,3,4]=>[1,3,1,3]=>11001100=>3 [1,4,3,2,6,8,7,5]=>[8,5,6,7,3,1,2,4]=>[1,3,1,3]=>11001100=>3 [1,4,3,2,7,6,8,5]=>[8,5,6,7,2,3,1,4]=>[1,3,2,2]=>11001010=>5 [1,4,3,2,6,7,8,5]=>[8,5,6,7,3,2,1,4]=>[1,3,1,1,2]=>11001110=>3 [1,3,4,2,8,7,6,5]=>[8,6,5,7,1,2,3,4]=>[1,1,2,4]=>11101000=>3 [1,3,4,2,7,8,6,5]=>[8,6,5,7,2,1,3,4]=>[1,1,2,1,3]=>11101100=>3 [1,3,4,2,6,8,7,5]=>[8,6,5,7,3,1,2,4]=>[1,1,2,1,3]=>11101100=>3 [1,3,4,2,7,6,8,5]=>[8,6,5,7,2,3,1,4]=>[1,1,2,2,2]=>11101010=>5 [1,3,4,2,6,7,8,5]=>[8,6,5,7,3,2,1,4]=>[1,1,2,1,1,2]=>11101110=>3 [2,1,4,3,8,7,6,5]=>[7,8,5,6,1,2,3,4]=>[2,2,4]=>10101000=>5 [2,1,4,3,7,8,6,5]=>[7,8,5,6,2,1,3,4]=>[2,2,1,3]=>10101100=>5 [2,1,4,3,6,8,7,5]=>[7,8,5,6,3,1,2,4]=>[2,2,1,3]=>10101100=>5 [2,1,4,3,7,6,8,5]=>[7,8,5,6,2,3,1,4]=>[2,2,2,2]=>10101010=>7 [2,1,4,3,6,7,8,5]=>[7,8,5,6,3,2,1,4]=>[2,2,1,1,2]=>10101110=>5 [1,2,4,3,8,7,6,5]=>[8,7,5,6,1,2,3,4]=>[1,1,2,4]=>11101000=>3 [1,2,4,3,7,8,6,5]=>[8,7,5,6,2,1,3,4]=>[1,1,2,1,3]=>11101100=>3 [1,2,4,3,6,8,7,5]=>[8,7,5,6,3,1,2,4]=>[1,1,2,1,3]=>11101100=>3 [1,2,4,3,7,6,8,5]=>[8,7,5,6,2,3,1,4]=>[1,1,2,2,2]=>11101010=>5 [1,2,4,3,6,7,8,5]=>[8,7,5,6,3,2,1,4]=>[1,1,2,1,1,2]=>11101110=>3 [3,2,1,4,8,7,6,5]=>[6,7,8,5,1,2,3,4]=>[3,1,4]=>10011000=>3 [3,2,1,4,7,8,6,5]=>[6,7,8,5,2,1,3,4]=>[3,1,1,3]=>10011100=>3 [3,2,1,4,6,8,7,5]=>[6,7,8,5,3,1,2,4]=>[3,1,1,3]=>10011100=>3 [3,2,1,4,7,6,8,5]=>[6,7,8,5,2,3,1,4]=>[3,1,2,2]=>10011010=>5 [3,2,1,4,6,7,8,5]=>[6,7,8,5,3,2,1,4]=>[3,1,1,1,2]=>10011110=>3 [2,3,1,4,8,7,6,5]=>[7,6,8,5,1,2,3,4]=>[1,2,1,4]=>11011000=>3 [2,3,1,4,7,8,6,5]=>[7,6,8,5,2,1,3,4]=>[1,2,1,1,3]=>11011100=>3 [2,3,1,4,6,8,7,5]=>[7,6,8,5,3,1,2,4]=>[1,2,1,1,3]=>11011100=>3 [2,3,1,4,7,6,8,5]=>[7,6,8,5,2,3,1,4]=>[1,2,1,2,2]=>11011010=>5 [2,3,1,4,6,7,8,5]=>[7,6,8,5,3,2,1,4]=>[1,2,1,1,1,2]=>11011110=>3 [1,3,2,4,8,7,6,5]=>[8,6,7,5,1,2,3,4]=>[1,2,1,4]=>11011000=>3 [1,3,2,4,7,8,6,5]=>[8,6,7,5,2,1,3,4]=>[1,2,1,1,3]=>11011100=>3 [1,3,2,4,6,8,7,5]=>[8,6,7,5,3,1,2,4]=>[1,2,1,1,3]=>11011100=>3 [1,3,2,4,7,6,8,5]=>[8,6,7,5,2,3,1,4]=>[1,2,1,2,2]=>11011010=>5 [1,3,2,4,6,7,8,5]=>[8,6,7,5,3,2,1,4]=>[1,2,1,1,1,2]=>11011110=>3 [2,1,3,4,8,7,6,5]=>[7,8,6,5,1,2,3,4]=>[2,1,1,4]=>10111000=>3 [2,1,3,4,7,8,6,5]=>[7,8,6,5,2,1,3,4]=>[2,1,1,1,3]=>10111100=>3 [2,1,3,4,6,8,7,5]=>[7,8,6,5,3,1,2,4]=>[2,1,1,1,3]=>10111100=>3 [2,1,3,4,7,6,8,5]=>[7,8,6,5,2,3,1,4]=>[2,1,1,2,2]=>10111010=>5 [2,1,3,4,6,7,8,5]=>[7,8,6,5,3,2,1,4]=>[2,1,1,1,1,2]=>10111110=>3 [1,2,3,4,8,7,6,5]=>[8,7,6,5,1,2,3,4]=>[1,1,1,1,4]=>11111000=>1 [1,2,3,4,7,8,6,5]=>[8,7,6,5,2,1,3,4]=>[1,1,1,1,1,3]=>11111100=>1 [1,2,3,4,6,8,7,5]=>[8,7,6,5,3,1,2,4]=>[1,1,1,1,1,3]=>11111100=>1 [1,2,3,4,7,6,8,5]=>[8,7,6,5,2,3,1,4]=>[1,1,1,1,2,2]=>11111010=>3 [1,2,3,4,6,7,8,5]=>[8,7,6,5,3,2,1,4]=>[1,1,1,1,1,1,2]=>11111110=>1 [5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[5,3]=>10000100=>3 [5,4,3,2,1,7,8,6]=>[4,5,6,7,8,2,1,3]=>[5,1,2]=>10000110=>3 [4,5,3,2,1,8,7,6]=>[5,4,6,7,8,1,2,3]=>[1,4,3]=>11000100=>3 [4,5,3,2,1,7,8,6]=>[5,4,6,7,8,2,1,3]=>[1,4,1,2]=>11000110=>3 [3,5,4,2,1,8,7,6]=>[6,4,5,7,8,1,2,3]=>[1,4,3]=>11000100=>3 [4,3,5,2,1,8,7,6]=>[5,6,4,7,8,1,2,3]=>[2,3,3]=>10100100=>5 [4,3,5,2,1,7,8,6]=>[5,6,4,7,8,2,1,3]=>[2,3,1,2]=>10100110=>5 [3,4,5,2,1,8,7,6]=>[6,5,4,7,8,1,2,3]=>[1,1,3,3]=>11100100=>3 [3,4,5,2,1,7,8,6]=>[6,5,4,7,8,2,1,3]=>[1,1,3,1,2]=>11100110=>3 [2,5,4,3,1,8,7,6]=>[7,4,5,6,8,1,2,3]=>[1,4,3]=>11000100=>3 [2,5,4,3,1,7,8,6]=>[7,4,5,6,8,2,1,3]=>[1,4,1,2]=>11000110=>3 [2,4,5,3,1,8,7,6]=>[7,5,4,6,8,1,2,3]=>[1,1,3,3]=>11100100=>3 [2,4,5,3,1,7,8,6]=>[7,5,4,6,8,2,1,3]=>[1,1,3,1,2]=>11100110=>3 [3,2,5,4,1,8,7,6]=>[6,7,4,5,8,1,2,3]=>[2,3,3]=>10100100=>5 [3,2,5,4,1,7,8,6]=>[6,7,4,5,8,2,1,3]=>[2,3,1,2]=>10100110=>5 [2,3,5,4,1,8,7,6]=>[7,6,4,5,8,1,2,3]=>[1,1,3,3]=>11100100=>3 [2,3,5,4,1,7,8,6]=>[7,6,4,5,8,2,1,3]=>[1,1,3,1,2]=>11100110=>3 [4,3,2,5,1,8,7,6]=>[5,6,7,4,8,1,2,3]=>[3,2,3]=>10010100=>5 [4,3,2,5,1,7,8,6]=>[5,6,7,4,8,2,1,3]=>[3,2,1,2]=>10010110=>5 [3,4,2,5,1,8,7,6]=>[6,5,7,4,8,1,2,3]=>[1,2,2,3]=>11010100=>5 [3,4,2,5,1,7,8,6]=>[6,5,7,4,8,2,1,3]=>[1,2,2,1,2]=>11010110=>5 [2,4,3,5,1,8,7,6]=>[7,5,6,4,8,1,2,3]=>[1,2,2,3]=>11010100=>5 [2,4,3,5,1,7,8,6]=>[7,5,6,4,8,2,1,3]=>[1,2,2,1,2]=>11010110=>5 [3,2,4,5,1,8,7,6]=>[6,7,5,4,8,1,2,3]=>[2,1,2,3]=>10110100=>5 [3,2,4,5,1,7,8,6]=>[6,7,5,4,8,2,1,3]=>[2,1,2,1,2]=>10110110=>5 [2,3,4,5,1,8,7,6]=>[7,6,5,4,8,1,2,3]=>[1,1,1,2,3]=>11110100=>3 [2,3,4,5,1,7,8,6]=>[7,6,5,4,8,2,1,3]=>[1,1,1,2,1,2]=>11110110=>3 [1,5,4,3,2,8,7,6]=>[8,4,5,6,7,1,2,3]=>[1,4,3]=>11000100=>3 [1,5,4,3,2,7,8,6]=>[8,4,5,6,7,2,1,3]=>[1,4,1,2]=>11000110=>3 [1,4,5,3,2,8,7,6]=>[8,5,4,6,7,1,2,3]=>[1,1,3,3]=>11100100=>3 [1,4,5,3,2,7,8,6]=>[8,5,4,6,7,2,1,3]=>[1,1,3,1,2]=>11100110=>3 [1,3,5,4,2,8,7,6]=>[8,6,4,5,7,1,2,3]=>[1,1,3,3]=>11100100=>3 [1,3,5,4,2,7,8,6]=>[8,6,4,5,7,2,1,3]=>[1,1,3,1,2]=>11100110=>3 [1,4,3,5,2,8,7,6]=>[8,5,6,4,7,1,2,3]=>[1,2,2,3]=>11010100=>5 [1,3,4,5,2,8,7,6]=>[8,6,5,4,7,1,2,3]=>[1,1,1,2,3]=>11110100=>3 [1,3,4,5,2,7,8,6]=>[8,6,5,4,7,2,1,3]=>[1,1,1,2,1,2]=>11110110=>3 [2,1,5,4,3,8,7,6]=>[7,8,4,5,6,1,2,3]=>[2,3,3]=>10100100=>5 [2,1,5,4,3,7,8,6]=>[7,8,4,5,6,2,1,3]=>[2,3,1,2]=>10100110=>5 [2,1,4,5,3,8,7,6]=>[7,8,5,4,6,1,2,3]=>[2,1,2,3]=>10110100=>5 [2,1,4,5,3,7,8,6]=>[7,8,5,4,6,2,1,3]=>[2,1,2,1,2]=>10110110=>5 [1,2,5,4,3,8,7,6]=>[8,7,4,5,6,1,2,3]=>[1,1,3,3]=>11100100=>3 [1,2,5,4,3,7,8,6]=>[8,7,4,5,6,2,1,3]=>[1,1,3,1,2]=>11100110=>3 [1,2,4,5,3,8,7,6]=>[8,7,5,4,6,1,2,3]=>[1,1,1,2,3]=>11110100=>3 [1,2,4,5,3,7,8,6]=>[8,7,5,4,6,2,1,3]=>[1,1,1,2,1,2]=>11110110=>3 [3,2,1,5,4,8,7,6]=>[6,7,8,4,5,1,2,3]=>[3,2,3]=>10010100=>5 [3,2,1,5,4,7,8,6]=>[6,7,8,4,5,2,1,3]=>[3,2,1,2]=>10010110=>5 [2,3,1,5,4,7,8,6]=>[7,6,8,4,5,2,1,3]=>[1,2,2,1,2]=>11010110=>5 [1,3,2,5,4,8,7,6]=>[8,6,7,4,5,1,2,3]=>[1,2,2,3]=>11010100=>5 [1,3,2,5,4,7,8,6]=>[8,6,7,4,5,2,1,3]=>[1,2,2,1,2]=>11010110=>5 [2,1,3,5,4,8,7,6]=>[7,8,6,4,5,1,2,3]=>[2,1,2,3]=>10110100=>5 [2,1,3,5,4,7,8,6]=>[7,8,6,4,5,2,1,3]=>[2,1,2,1,2]=>10110110=>5 [1,2,3,5,4,8,7,6]=>[8,7,6,4,5,1,2,3]=>[1,1,1,2,3]=>11110100=>3 [1,2,3,5,4,7,8,6]=>[8,7,6,4,5,2,1,3]=>[1,1,1,2,1,2]=>11110110=>3 [4,3,2,1,5,8,7,6]=>[5,6,7,8,4,1,2,3]=>[4,1,3]=>10001100=>3 [4,3,2,1,5,7,8,6]=>[5,6,7,8,4,2,1,3]=>[4,1,1,2]=>10001110=>3 [3,4,2,1,5,8,7,6]=>[6,5,7,8,4,1,2,3]=>[1,3,1,3]=>11001100=>3 [3,4,2,1,5,7,8,6]=>[6,5,7,8,4,2,1,3]=>[1,3,1,1,2]=>11001110=>3 [2,4,3,1,5,8,7,6]=>[7,5,6,8,4,1,2,3]=>[1,3,1,3]=>11001100=>3 [2,4,3,1,5,7,8,6]=>[7,5,6,8,4,2,1,3]=>[1,3,1,1,2]=>11001110=>3 [3,2,4,1,5,8,7,6]=>[6,7,5,8,4,1,2,3]=>[2,2,1,3]=>10101100=>5 [3,2,4,1,5,7,8,6]=>[6,7,5,8,4,2,1,3]=>[2,2,1,1,2]=>10101110=>5 [2,3,4,1,5,8,7,6]=>[7,6,5,8,4,1,2,3]=>[1,1,2,1,3]=>11101100=>3 [2,3,4,1,5,7,8,6]=>[7,6,5,8,4,2,1,3]=>[1,1,2,1,1,2]=>11101110=>3 [1,4,3,2,5,8,7,6]=>[8,5,6,7,4,1,2,3]=>[1,3,1,3]=>11001100=>3 [1,4,3,2,5,7,8,6]=>[8,5,6,7,4,2,1,3]=>[1,3,1,1,2]=>11001110=>3 [1,3,4,2,5,8,7,6]=>[8,6,5,7,4,1,2,3]=>[1,1,2,1,3]=>11101100=>3 [1,3,4,2,5,7,8,6]=>[8,6,5,7,4,2,1,3]=>[1,1,2,1,1,2]=>11101110=>3 [2,1,4,3,5,8,7,6]=>[7,8,5,6,4,1,2,3]=>[2,2,1,3]=>10101100=>5 [2,1,4,3,5,7,8,6]=>[7,8,5,6,4,2,1,3]=>[2,2,1,1,2]=>10101110=>5 [1,2,4,3,5,7,8,6]=>[8,7,5,6,4,2,1,3]=>[1,1,2,1,1,2]=>11101110=>3 [3,2,1,4,5,8,7,6]=>[6,7,8,5,4,1,2,3]=>[3,1,1,3]=>10011100=>3 [3,2,1,4,5,7,8,6]=>[6,7,8,5,4,2,1,3]=>[3,1,1,1,2]=>10011110=>3 [2,3,1,4,5,8,7,6]=>[7,6,8,5,4,1,2,3]=>[1,2,1,1,3]=>11011100=>3 [2,3,1,4,5,7,8,6]=>[7,6,8,5,4,2,1,3]=>[1,2,1,1,1,2]=>11011110=>3 [1,3,2,4,5,7,8,6]=>[8,6,7,5,4,2,1,3]=>[1,2,1,1,1,2]=>11011110=>3 [2,1,3,4,5,8,7,6]=>[7,8,6,5,4,1,2,3]=>[2,1,1,1,3]=>10111100=>3 [2,1,3,4,5,7,8,6]=>[7,8,6,5,4,2,1,3]=>[2,1,1,1,1,2]=>10111110=>3 [1,2,3,4,5,8,7,6]=>[8,7,6,5,4,1,2,3]=>[1,1,1,1,1,3]=>11111100=>1 [1,2,3,4,5,7,8,6]=>[8,7,6,5,4,2,1,3]=>[1,1,1,1,1,1,2]=>11111110=>1 [6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[6,2]=>10000010=>3 [5,6,4,3,2,1,8,7]=>[4,3,5,6,7,8,1,2]=>[1,5,2]=>11000010=>3 [4,6,5,3,2,1,8,7]=>[5,3,4,6,7,8,1,2]=>[1,5,2]=>11000010=>3 [5,4,6,3,2,1,8,7]=>[4,5,3,6,7,8,1,2]=>[2,4,2]=>10100010=>5 [4,5,6,3,2,1,8,7]=>[5,4,3,6,7,8,1,2]=>[1,1,4,2]=>11100010=>3 [3,6,5,4,2,1,8,7]=>[6,3,4,5,7,8,1,2]=>[1,5,2]=>11000010=>3 [3,5,6,4,2,1,8,7]=>[6,4,3,5,7,8,1,2]=>[1,1,4,2]=>11100010=>3 [4,3,6,5,2,1,8,7]=>[5,6,3,4,7,8,1,2]=>[2,4,2]=>10100010=>5 [3,4,6,5,2,1,8,7]=>[6,5,3,4,7,8,1,2]=>[1,1,4,2]=>11100010=>3 [5,4,3,6,2,1,8,7]=>[4,5,6,3,7,8,1,2]=>[3,3,2]=>10010010=>5 [4,5,3,6,2,1,8,7]=>[5,4,6,3,7,8,1,2]=>[1,2,3,2]=>11010010=>5 [4,3,5,6,2,1,8,7]=>[5,6,4,3,7,8,1,2]=>[2,1,3,2]=>10110010=>5 [3,4,5,6,2,1,8,7]=>[6,5,4,3,7,8,1,2]=>[1,1,1,3,2]=>11110010=>3 [2,6,5,4,3,1,8,7]=>[7,3,4,5,6,8,1,2]=>[1,5,2]=>11000010=>3 [2,4,6,5,3,1,8,7]=>[7,5,3,4,6,8,1,2]=>[1,1,4,2]=>11100010=>3 [2,4,5,6,3,1,8,7]=>[7,5,4,3,6,8,1,2]=>[1,1,1,3,2]=>11110010=>3 [3,2,6,5,4,1,8,7]=>[6,7,3,4,5,8,1,2]=>[2,4,2]=>10100010=>5 [3,2,5,6,4,1,8,7]=>[6,7,4,3,5,8,1,2]=>[2,1,3,2]=>10110010=>5 [2,3,6,5,4,1,8,7]=>[7,6,3,4,5,8,1,2]=>[1,1,4,2]=>11100010=>3 [2,3,5,6,4,1,8,7]=>[7,6,4,3,5,8,1,2]=>[1,1,1,3,2]=>11110010=>3 [4,3,2,6,5,1,8,7]=>[5,6,7,3,4,8,1,2]=>[3,3,2]=>10010010=>5 [3,4,2,6,5,1,8,7]=>[6,5,7,3,4,8,1,2]=>[1,2,3,2]=>11010010=>5 [2,4,3,6,5,1,8,7]=>[7,5,6,3,4,8,1,2]=>[1,2,3,2]=>11010010=>5 [3,2,4,6,5,1,8,7]=>[6,7,5,3,4,8,1,2]=>[2,1,3,2]=>10110010=>5 [2,3,4,6,5,1,8,7]=>[7,6,5,3,4,8,1,2]=>[1,1,1,3,2]=>11110010=>3 [5,4,3,2,6,1,8,7]=>[4,5,6,7,3,8,1,2]=>[4,2,2]=>10001010=>5 [4,5,3,2,6,1,8,7]=>[5,4,6,7,3,8,1,2]=>[1,3,2,2]=>11001010=>5 [3,5,4,2,6,1,8,7]=>[6,4,5,7,3,8,1,2]=>[1,3,2,2]=>11001010=>5 [4,3,5,2,6,1,8,7]=>[5,6,4,7,3,8,1,2]=>[2,2,2,2]=>10101010=>7 [3,4,5,2,6,1,8,7]=>[6,5,4,7,3,8,1,2]=>[1,1,2,2,2]=>11101010=>5 [2,5,4,3,6,1,8,7]=>[7,4,5,6,3,8,1,2]=>[1,3,2,2]=>11001010=>5 [2,4,5,3,6,1,8,7]=>[7,5,4,6,3,8,1,2]=>[1,1,2,2,2]=>11101010=>5 [3,2,5,4,6,1,8,7]=>[6,7,4,5,3,8,1,2]=>[2,2,2,2]=>10101010=>7 [2,3,5,4,6,1,8,7]=>[7,6,4,5,3,8,1,2]=>[1,1,2,2,2]=>11101010=>5 [4,3,2,5,6,1,8,7]=>[5,6,7,4,3,8,1,2]=>[3,1,2,2]=>10011010=>5 [3,4,2,5,6,1,8,7]=>[6,5,7,4,3,8,1,2]=>[1,2,1,2,2]=>11011010=>5 [2,4,3,5,6,1,8,7]=>[7,5,6,4,3,8,1,2]=>[1,2,1,2,2]=>11011010=>5 [3,2,4,5,6,1,8,7]=>[6,7,5,4,3,8,1,2]=>[2,1,1,2,2]=>10111010=>5 [2,3,4,5,6,1,8,7]=>[7,6,5,4,3,8,1,2]=>[1,1,1,1,2,2]=>11111010=>3 [1,6,5,4,3,2,8,7]=>[8,3,4,5,6,7,1,2]=>[1,5,2]=>11000010=>3 [1,5,6,4,3,2,8,7]=>[8,4,3,5,6,7,1,2]=>[1,1,4,2]=>11100010=>3 [1,4,6,5,3,2,8,7]=>[8,5,3,4,6,7,1,2]=>[1,1,4,2]=>11100010=>3 [1,4,5,6,3,2,8,7]=>[8,5,4,3,6,7,1,2]=>[1,1,1,3,2]=>11110010=>3 [1,3,6,5,4,2,8,7]=>[8,6,3,4,5,7,1,2]=>[1,1,4,2]=>11100010=>3 [1,3,5,6,4,2,8,7]=>[8,6,4,3,5,7,1,2]=>[1,1,1,3,2]=>11110010=>3 [1,4,3,6,5,2,8,7]=>[8,5,6,3,4,7,1,2]=>[1,2,3,2]=>11010010=>5 [1,3,4,5,6,2,8,7]=>[8,6,5,4,3,7,1,2]=>[1,1,1,1,2,2]=>11111010=>3 [2,1,6,5,4,3,8,7]=>[7,8,3,4,5,6,1,2]=>[2,4,2]=>10100010=>5 [2,1,5,6,4,3,8,7]=>[7,8,4,3,5,6,1,2]=>[2,1,3,2]=>10110010=>5 [2,1,4,6,5,3,8,7]=>[7,8,5,3,4,6,1,2]=>[2,1,3,2]=>10110010=>5 [2,1,5,4,6,3,8,7]=>[7,8,4,5,3,6,1,2]=>[2,2,2,2]=>10101010=>7 [2,1,4,5,6,3,8,7]=>[7,8,5,4,3,6,1,2]=>[2,1,1,2,2]=>10111010=>5 [1,2,6,5,4,3,8,7]=>[8,7,3,4,5,6,1,2]=>[1,1,4,2]=>11100010=>3 [1,2,5,6,4,3,8,7]=>[8,7,4,3,5,6,1,2]=>[1,1,1,3,2]=>11110010=>3 [1,2,4,6,5,3,8,7]=>[8,7,5,3,4,6,1,2]=>[1,1,1,3,2]=>11110010=>3 [1,2,5,4,6,3,8,7]=>[8,7,4,5,3,6,1,2]=>[1,1,2,2,2]=>11101010=>5 [1,2,4,5,6,3,8,7]=>[8,7,5,4,3,6,1,2]=>[1,1,1,1,2,2]=>11111010=>3 [3,2,1,6,5,4,8,7]=>[6,7,8,3,4,5,1,2]=>[3,3,2]=>10010010=>5 [3,2,1,5,6,4,8,7]=>[6,7,8,4,3,5,1,2]=>[3,1,2,2]=>10011010=>5 [2,3,1,6,5,4,8,7]=>[7,6,8,3,4,5,1,2]=>[1,2,3,2]=>11010010=>5 [2,3,1,5,6,4,8,7]=>[7,6,8,4,3,5,1,2]=>[1,2,1,2,2]=>11011010=>5 [1,3,2,6,5,4,8,7]=>[8,6,7,3,4,5,1,2]=>[1,2,3,2]=>11010010=>5 [1,3,2,5,6,4,8,7]=>[8,6,7,4,3,5,1,2]=>[1,2,1,2,2]=>11011010=>5 [2,1,3,6,5,4,8,7]=>[7,8,6,3,4,5,1,2]=>[2,1,3,2]=>10110010=>5 [2,1,3,5,6,4,8,7]=>[7,8,6,4,3,5,1,2]=>[2,1,1,2,2]=>10111010=>5 [1,2,3,6,5,4,8,7]=>[8,7,6,3,4,5,1,2]=>[1,1,1,3,2]=>11110010=>3 [1,2,3,5,6,4,8,7]=>[8,7,6,4,3,5,1,2]=>[1,1,1,1,2,2]=>11111010=>3 [4,3,2,1,6,5,8,7]=>[5,6,7,8,3,4,1,2]=>[4,2,2]=>10001010=>5 [3,4,2,1,6,5,8,7]=>[6,5,7,8,3,4,1,2]=>[1,3,2,2]=>11001010=>5 [2,4,3,1,6,5,8,7]=>[7,5,6,8,3,4,1,2]=>[1,3,2,2]=>11001010=>5 [3,2,4,1,6,5,8,7]=>[6,7,5,8,3,4,1,2]=>[2,2,2,2]=>10101010=>7 [2,3,4,1,6,5,8,7]=>[7,6,5,8,3,4,1,2]=>[1,1,2,2,2]=>11101010=>5 [1,4,3,2,6,5,8,7]=>[8,5,6,7,3,4,1,2]=>[1,3,2,2]=>11001010=>5 [1,3,4,2,6,5,8,7]=>[8,6,5,7,3,4,1,2]=>[1,1,2,2,2]=>11101010=>5 [2,1,4,3,6,5,8,7]=>[7,8,5,6,3,4,1,2]=>[2,2,2,2]=>10101010=>7 [1,2,4,3,6,5,8,7]=>[8,7,5,6,3,4,1,2]=>[1,1,2,2,2]=>11101010=>5 [3,2,1,4,6,5,8,7]=>[6,7,8,5,3,4,1,2]=>[3,1,2,2]=>10011010=>5 [2,3,1,4,6,5,8,7]=>[7,6,8,5,3,4,1,2]=>[1,2,1,2,2]=>11011010=>5 [2,1,3,4,6,5,8,7]=>[7,8,6,5,3,4,1,2]=>[2,1,1,2,2]=>10111010=>5 [1,2,3,4,6,5,8,7]=>[8,7,6,5,3,4,1,2]=>[1,1,1,1,2,2]=>11111010=>3 [5,4,3,2,1,6,8,7]=>[4,5,6,7,8,3,1,2]=>[5,1,2]=>10000110=>3 [4,5,3,2,1,6,8,7]=>[5,4,6,7,8,3,1,2]=>[1,4,1,2]=>11000110=>3 [3,5,4,2,1,6,8,7]=>[6,4,5,7,8,3,1,2]=>[1,4,1,2]=>11000110=>3 [4,3,5,2,1,6,8,7]=>[5,6,4,7,8,3,1,2]=>[2,3,1,2]=>10100110=>5 [3,4,5,2,1,6,8,7]=>[6,5,4,7,8,3,1,2]=>[1,1,3,1,2]=>11100110=>3 [2,5,4,3,1,6,8,7]=>[7,4,5,6,8,3,1,2]=>[1,4,1,2]=>11000110=>3 [2,4,5,3,1,6,8,7]=>[7,5,4,6,8,3,1,2]=>[1,1,3,1,2]=>11100110=>3 [3,2,5,4,1,6,8,7]=>[6,7,4,5,8,3,1,2]=>[2,3,1,2]=>10100110=>5 [2,3,5,4,1,6,8,7]=>[7,6,4,5,8,3,1,2]=>[1,1,3,1,2]=>11100110=>3 [3,4,2,5,1,6,8,7]=>[6,5,7,4,8,3,1,2]=>[1,2,2,1,2]=>11010110=>5 [2,4,3,5,1,6,8,7]=>[7,5,6,4,8,3,1,2]=>[1,2,2,1,2]=>11010110=>5 [3,2,4,5,1,6,8,7]=>[6,7,5,4,8,3,1,2]=>[2,1,2,1,2]=>10110110=>5 [2,3,4,5,1,6,8,7]=>[7,6,5,4,8,3,1,2]=>[1,1,1,2,1,2]=>11110110=>3 [1,4,5,3,2,6,8,7]=>[8,5,4,6,7,3,1,2]=>[1,1,3,1,2]=>11100110=>3 [1,3,5,4,2,6,8,7]=>[8,6,4,5,7,3,1,2]=>[1,1,3,1,2]=>11100110=>3 [1,4,3,5,2,6,8,7]=>[8,5,6,4,7,3,1,2]=>[1,2,2,1,2]=>11010110=>5 [2,1,5,4,3,6,8,7]=>[7,8,4,5,6,3,1,2]=>[2,3,1,2]=>10100110=>5 [1,2,5,4,3,6,8,7]=>[8,7,4,5,6,3,1,2]=>[1,1,3,1,2]=>11100110=>3 [1,2,4,5,3,6,8,7]=>[8,7,5,4,6,3,1,2]=>[1,1,1,2,1,2]=>11110110=>3 [3,2,1,5,4,6,8,7]=>[6,7,8,4,5,3,1,2]=>[3,2,1,2]=>10010110=>5 [2,3,1,5,4,6,8,7]=>[7,6,8,4,5,3,1,2]=>[1,2,2,1,2]=>11010110=>5 [1,3,2,5,4,6,8,7]=>[8,6,7,4,5,3,1,2]=>[1,2,2,1,2]=>11010110=>5 [2,1,3,5,4,6,8,7]=>[7,8,6,4,5,3,1,2]=>[2,1,2,1,2]=>10110110=>5 [1,2,3,5,4,6,8,7]=>[8,7,6,4,5,3,1,2]=>[1,1,1,2,1,2]=>11110110=>3 [4,3,2,1,5,6,8,7]=>[5,6,7,8,4,3,1,2]=>[4,1,1,2]=>10001110=>3 [3,4,2,1,5,6,8,7]=>[6,5,7,8,4,3,1,2]=>[1,3,1,1,2]=>11001110=>3 [2,4,3,1,5,6,8,7]=>[7,5,6,8,4,3,1,2]=>[1,3,1,1,2]=>11001110=>3 [3,2,4,1,5,6,8,7]=>[6,7,5,8,4,3,1,2]=>[2,2,1,1,2]=>10101110=>5 [2,3,4,1,5,6,8,7]=>[7,6,5,8,4,3,1,2]=>[1,1,2,1,1,2]=>11101110=>3 [1,4,3,2,5,6,8,7]=>[8,5,6,7,4,3,1,2]=>[1,3,1,1,2]=>11001110=>3 [1,3,4,2,5,6,8,7]=>[8,6,5,7,4,3,1,2]=>[1,1,2,1,1,2]=>11101110=>3 [2,1,4,3,5,6,8,7]=>[7,8,5,6,4,3,1,2]=>[2,2,1,1,2]=>10101110=>5 [1,2,4,3,5,6,8,7]=>[8,7,5,6,4,3,1,2]=>[1,1,2,1,1,2]=>11101110=>3 [3,2,1,4,5,6,8,7]=>[6,7,8,5,4,3,1,2]=>[3,1,1,1,2]=>10011110=>3 [2,3,1,4,5,6,8,7]=>[7,6,8,5,4,3,1,2]=>[1,2,1,1,1,2]=>11011110=>3 [1,3,2,4,5,6,8,7]=>[8,6,7,5,4,3,1,2]=>[1,2,1,1,1,2]=>11011110=>3 [2,1,3,4,5,6,8,7]=>[7,8,6,5,4,3,1,2]=>[2,1,1,1,1,2]=>10111110=>3 [1,2,3,4,5,6,8,7]=>[8,7,6,5,4,3,1,2]=>[1,1,1,1,1,1,2]=>11111110=>1 [5,7,6,4,3,2,1,8]=>[4,2,3,5,6,7,8,1]=>[1,6,1]=>11000001=>2 [4,7,6,5,3,2,1,8]=>[5,2,3,4,6,7,8,1]=>[1,6,1]=>11000001=>2 [4,6,7,5,3,2,1,8]=>[5,3,2,4,6,7,8,1]=>[1,1,5,1]=>11100001=>2 [5,4,7,6,3,2,1,8]=>[4,5,2,3,6,7,8,1]=>[2,5,1]=>10100001=>4 [4,5,7,6,3,2,1,8]=>[5,4,2,3,6,7,8,1]=>[1,1,5,1]=>11100001=>2 [4,6,5,7,3,2,1,8]=>[5,3,4,2,6,7,8,1]=>[1,2,4,1]=>11010001=>4 [3,7,6,5,4,2,1,8]=>[6,2,3,4,5,7,8,1]=>[1,6,1]=>11000001=>2 [3,5,7,6,4,2,1,8]=>[6,4,2,3,5,7,8,1]=>[1,1,5,1]=>11100001=>2 [3,4,7,6,5,2,1,8]=>[6,5,2,3,4,7,8,1]=>[1,1,5,1]=>11100001=>2 [3,4,6,7,5,2,1,8]=>[6,5,3,2,4,7,8,1]=>[1,1,1,4,1]=>11110001=>2 [5,4,3,7,6,2,1,8]=>[4,5,6,2,3,7,8,1]=>[3,4,1]=>10010001=>4 [4,5,3,7,6,2,1,8]=>[5,4,6,2,3,7,8,1]=>[1,2,4,1]=>11010001=>4 [3,5,4,7,6,2,1,8]=>[6,4,5,2,3,7,8,1]=>[1,2,4,1]=>11010001=>4 [4,3,5,7,6,2,1,8]=>[5,6,4,2,3,7,8,1]=>[2,1,4,1]=>10110001=>4 [3,4,5,7,6,2,1,8]=>[6,5,4,2,3,7,8,1]=>[1,1,1,4,1]=>11110001=>2 [3,6,5,4,7,2,1,8]=>[6,3,4,5,2,7,8,1]=>[1,3,3,1]=>11001001=>4 [3,5,6,4,7,2,1,8]=>[6,4,3,5,2,7,8,1]=>[1,1,2,3,1]=>11101001=>4 [4,3,6,5,7,2,1,8]=>[5,6,3,4,2,7,8,1]=>[2,2,3,1]=>10101001=>6 [3,4,6,5,7,2,1,8]=>[6,5,3,4,2,7,8,1]=>[1,1,2,3,1]=>11101001=>4 [3,5,4,6,7,2,1,8]=>[6,4,5,3,2,7,8,1]=>[1,2,1,3,1]=>11011001=>4 [2,7,6,5,4,3,1,8]=>[7,2,3,4,5,6,8,1]=>[1,6,1]=>11000001=>2 [2,6,7,5,4,3,1,8]=>[7,3,2,4,5,6,8,1]=>[1,1,5,1]=>11100001=>2 [2,6,5,7,4,3,1,8]=>[7,3,4,2,5,6,8,1]=>[1,2,4,1]=>11010001=>4 [2,5,6,7,4,3,1,8]=>[7,4,3,2,5,6,8,1]=>[1,1,1,4,1]=>11110001=>2 [2,4,7,6,5,3,1,8]=>[7,5,2,3,4,6,8,1]=>[1,1,5,1]=>11100001=>2 [2,4,6,7,5,3,1,8]=>[7,5,3,2,4,6,8,1]=>[1,1,1,4,1]=>11110001=>2 [2,5,4,7,6,3,1,8]=>[7,4,5,2,3,6,8,1]=>[1,2,4,1]=>11010001=>4 [2,4,5,7,6,3,1,8]=>[7,5,4,2,3,6,8,1]=>[1,1,1,4,1]=>11110001=>2 [2,6,5,4,7,3,1,8]=>[7,3,4,5,2,6,8,1]=>[1,3,3,1]=>11001001=>4 [2,5,6,4,7,3,1,8]=>[7,4,3,5,2,6,8,1]=>[1,1,2,3,1]=>11101001=>4 [2,4,6,5,7,3,1,8]=>[7,5,3,4,2,6,8,1]=>[1,1,2,3,1]=>11101001=>4 [2,5,4,6,7,3,1,8]=>[7,4,5,3,2,6,8,1]=>[1,2,1,3,1]=>11011001=>4 [2,4,5,6,7,3,1,8]=>[7,5,4,3,2,6,8,1]=>[1,1,1,1,3,1]=>11111001=>2 [3,2,7,6,5,4,1,8]=>[6,7,2,3,4,5,8,1]=>[2,5,1]=>10100001=>4 [3,2,6,7,5,4,1,8]=>[6,7,3,2,4,5,8,1]=>[2,1,4,1]=>10110001=>4 [3,2,5,7,6,4,1,8]=>[6,7,4,2,3,5,8,1]=>[2,1,4,1]=>10110001=>4 [3,2,5,6,7,4,1,8]=>[6,7,4,3,2,5,8,1]=>[2,1,1,3,1]=>10111001=>4 [2,3,7,6,5,4,1,8]=>[7,6,2,3,4,5,8,1]=>[1,1,5,1]=>11100001=>2 [2,3,6,7,5,4,1,8]=>[7,6,3,2,4,5,8,1]=>[1,1,1,4,1]=>11110001=>2 [2,3,5,7,6,4,1,8]=>[7,6,4,2,3,5,8,1]=>[1,1,1,4,1]=>11110001=>2 [2,3,6,5,7,4,1,8]=>[7,6,3,4,2,5,8,1]=>[1,1,2,3,1]=>11101001=>4 [2,3,5,6,7,4,1,8]=>[7,6,4,3,2,5,8,1]=>[1,1,1,1,3,1]=>11111001=>2 [4,3,2,7,6,5,1,8]=>[5,6,7,2,3,4,8,1]=>[3,4,1]=>10010001=>4 [3,4,2,6,7,5,1,8]=>[6,5,7,3,2,4,8,1]=>[1,2,1,3,1]=>11011001=>4 [2,4,3,7,6,5,1,8]=>[7,5,6,2,3,4,8,1]=>[1,2,4,1]=>11010001=>4 [2,4,3,6,7,5,1,8]=>[7,5,6,3,2,4,8,1]=>[1,2,1,3,1]=>11011001=>4 [3,2,4,6,7,5,1,8]=>[6,7,5,3,2,4,8,1]=>[2,1,1,3,1]=>10111001=>4 [2,3,4,7,6,5,1,8]=>[7,6,5,2,3,4,8,1]=>[1,1,1,4,1]=>11110001=>2 [5,4,3,2,7,6,1,8]=>[4,5,6,7,2,3,8,1]=>[4,3,1]=>10001001=>4 [4,5,3,2,7,6,1,8]=>[5,4,6,7,2,3,8,1]=>[1,3,3,1]=>11001001=>4 [3,5,4,2,7,6,1,8]=>[6,4,5,7,2,3,8,1]=>[1,3,3,1]=>11001001=>4 [4,3,5,2,7,6,1,8]=>[5,6,4,7,2,3,8,1]=>[2,2,3,1]=>10101001=>6 [3,4,5,2,7,6,1,8]=>[6,5,4,7,2,3,8,1]=>[1,1,2,3,1]=>11101001=>4 [2,5,4,3,7,6,1,8]=>[7,4,5,6,2,3,8,1]=>[1,3,3,1]=>11001001=>4 [2,4,5,3,7,6,1,8]=>[7,5,4,6,2,3,8,1]=>[1,1,2,3,1]=>11101001=>4 [3,2,5,4,7,6,1,8]=>[6,7,4,5,2,3,8,1]=>[2,2,3,1]=>10101001=>6 [2,3,5,4,7,6,1,8]=>[7,6,4,5,2,3,8,1]=>[1,1,2,3,1]=>11101001=>4 [4,3,2,5,7,6,1,8]=>[5,6,7,4,2,3,8,1]=>[3,1,3,1]=>10011001=>4 [3,4,2,5,7,6,1,8]=>[6,5,7,4,2,3,8,1]=>[1,2,1,3,1]=>11011001=>4 [2,4,3,5,7,6,1,8]=>[7,5,6,4,2,3,8,1]=>[1,2,1,3,1]=>11011001=>4 [3,2,4,5,7,6,1,8]=>[6,7,5,4,2,3,8,1]=>[2,1,1,3,1]=>10111001=>4 [2,3,4,5,7,6,1,8]=>[7,6,5,4,2,3,8,1]=>[1,1,1,1,3,1]=>11111001=>2 [4,6,5,3,2,7,1,8]=>[5,3,4,6,7,2,8,1]=>[1,4,2,1]=>11000101=>4 [3,6,5,4,2,7,1,8]=>[6,3,4,5,7,2,8,1]=>[1,4,2,1]=>11000101=>4 [3,5,6,4,2,7,1,8]=>[6,4,3,5,7,2,8,1]=>[1,1,3,2,1]=>11100101=>4 [4,3,6,5,2,7,1,8]=>[5,6,3,4,7,2,8,1]=>[2,3,2,1]=>10100101=>6 [3,4,6,5,2,7,1,8]=>[6,5,3,4,7,2,8,1]=>[1,1,3,2,1]=>11100101=>4 [3,5,4,6,2,7,1,8]=>[6,4,5,3,7,2,8,1]=>[1,2,2,2,1]=>11010101=>6 [2,6,5,4,3,7,1,8]=>[7,3,4,5,6,2,8,1]=>[1,4,2,1]=>11000101=>4 [2,4,6,5,3,7,1,8]=>[7,5,3,4,6,2,8,1]=>[1,1,3,2,1]=>11100101=>4 [2,5,4,6,3,7,1,8]=>[7,4,5,3,6,2,8,1]=>[1,2,2,2,1]=>11010101=>6 [2,4,5,6,3,7,1,8]=>[7,5,4,3,6,2,8,1]=>[1,1,1,2,2,1]=>11110101=>4 [3,2,5,6,4,7,1,8]=>[6,7,4,3,5,2,8,1]=>[2,1,2,2,1]=>10110101=>6 [2,3,6,5,4,7,1,8]=>[7,6,3,4,5,2,8,1]=>[1,1,3,2,1]=>11100101=>4 [2,3,5,6,4,7,1,8]=>[7,6,4,3,5,2,8,1]=>[1,1,1,2,2,1]=>11110101=>4 [4,3,2,6,5,7,1,8]=>[5,6,7,3,4,2,8,1]=>[3,2,2,1]=>10010101=>6 [3,4,2,6,5,7,1,8]=>[6,5,7,3,4,2,8,1]=>[1,2,2,2,1]=>11010101=>6 [2,4,3,6,5,7,1,8]=>[7,5,6,3,4,2,8,1]=>[1,2,2,2,1]=>11010101=>6 [2,3,4,6,5,7,1,8]=>[7,6,5,3,4,2,8,1]=>[1,1,1,2,2,1]=>11110101=>4 [3,5,4,2,6,7,1,8]=>[6,4,5,7,3,2,8,1]=>[1,3,1,2,1]=>11001101=>4 [2,5,4,3,6,7,1,8]=>[7,4,5,6,3,2,8,1]=>[1,3,1,2,1]=>11001101=>4 [2,4,5,3,6,7,1,8]=>[7,5,4,6,3,2,8,1]=>[1,1,2,1,2,1]=>11101101=>4 [3,2,5,4,6,7,1,8]=>[6,7,4,5,3,2,8,1]=>[2,2,1,2,1]=>10101101=>6 [2,3,5,4,6,7,1,8]=>[7,6,4,5,3,2,8,1]=>[1,1,2,1,2,1]=>11101101=>4 [2,4,3,5,6,7,1,8]=>[7,5,6,4,3,2,8,1]=>[1,2,1,1,2,1]=>11011101=>4 [1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[1,6,1]=>11000001=>2 [1,6,7,5,4,3,2,8]=>[8,3,2,4,5,6,7,1]=>[1,1,5,1]=>11100001=>2 [1,5,7,6,4,3,2,8]=>[8,4,2,3,5,6,7,1]=>[1,1,5,1]=>11100001=>2 [1,6,5,7,4,3,2,8]=>[8,3,4,2,5,6,7,1]=>[1,2,4,1]=>11010001=>4 [1,5,6,7,4,3,2,8]=>[8,4,3,2,5,6,7,1]=>[1,1,1,4,1]=>11110001=>2 [1,4,7,6,5,3,2,8]=>[8,5,2,3,4,6,7,1]=>[1,1,5,1]=>11100001=>2 [1,5,4,7,6,3,2,8]=>[8,4,5,2,3,6,7,1]=>[1,2,4,1]=>11010001=>4 [1,4,5,7,6,3,2,8]=>[8,5,4,2,3,6,7,1]=>[1,1,1,4,1]=>11110001=>2 [1,6,5,4,7,3,2,8]=>[8,3,4,5,2,6,7,1]=>[1,3,3,1]=>11001001=>4 [1,5,6,4,7,3,2,8]=>[8,4,3,5,2,6,7,1]=>[1,1,2,3,1]=>11101001=>4 [1,4,6,5,7,3,2,8]=>[8,5,3,4,2,6,7,1]=>[1,1,2,3,1]=>11101001=>4 [1,5,4,6,7,3,2,8]=>[8,4,5,3,2,6,7,1]=>[1,2,1,3,1]=>11011001=>4 [1,4,5,6,7,3,2,8]=>[8,5,4,3,2,6,7,1]=>[1,1,1,1,3,1]=>11111001=>2 [1,3,7,6,5,4,2,8]=>[8,6,2,3,4,5,7,1]=>[1,1,5,1]=>11100001=>2 [1,3,5,7,6,4,2,8]=>[8,6,4,2,3,5,7,1]=>[1,1,1,4,1]=>11110001=>2 [1,3,5,6,7,4,2,8]=>[8,6,4,3,2,5,7,1]=>[1,1,1,1,3,1]=>11111001=>2 [1,3,4,6,7,5,2,8]=>[8,6,5,3,2,4,7,1]=>[1,1,1,1,3,1]=>11111001=>2 [1,4,5,3,7,6,2,8]=>[8,5,4,6,2,3,7,1]=>[1,1,2,3,1]=>11101001=>4 [1,3,5,4,7,6,2,8]=>[8,6,4,5,2,3,7,1]=>[1,1,2,3,1]=>11101001=>4 [1,4,3,5,7,6,2,8]=>[8,5,6,4,2,3,7,1]=>[1,2,1,3,1]=>11011001=>4 [1,3,4,5,7,6,2,8]=>[8,6,5,4,2,3,7,1]=>[1,1,1,1,3,1]=>11111001=>2 [1,6,5,4,3,7,2,8]=>[8,3,4,5,6,2,7,1]=>[1,4,2,1]=>11000101=>4 [1,5,6,4,3,7,2,8]=>[8,4,3,5,6,2,7,1]=>[1,1,3,2,1]=>11100101=>4 [1,4,6,5,3,7,2,8]=>[8,5,3,4,6,2,7,1]=>[1,1,3,2,1]=>11100101=>4 [1,5,4,6,3,7,2,8]=>[8,4,5,3,6,2,7,1]=>[1,2,2,2,1]=>11010101=>6 [1,4,5,6,3,7,2,8]=>[8,5,4,3,6,2,7,1]=>[1,1,1,2,2,1]=>11110101=>4 [1,3,6,5,4,7,2,8]=>[8,6,3,4,5,2,7,1]=>[1,1,3,2,1]=>11100101=>4 [1,3,5,6,4,7,2,8]=>[8,6,4,3,5,2,7,1]=>[1,1,1,2,2,1]=>11110101=>4 [1,4,3,6,5,7,2,8]=>[8,5,6,3,4,2,7,1]=>[1,2,2,2,1]=>11010101=>6 [1,3,4,6,5,7,2,8]=>[8,6,5,3,4,2,7,1]=>[1,1,1,2,2,1]=>11110101=>4 [1,4,5,3,6,7,2,8]=>[8,5,4,6,3,2,7,1]=>[1,1,2,1,2,1]=>11101101=>4 [1,3,5,4,6,7,2,8]=>[8,6,4,5,3,2,7,1]=>[1,1,2,1,2,1]=>11101101=>4 [1,4,3,5,6,7,2,8]=>[8,5,6,4,3,2,7,1]=>[1,2,1,1,2,1]=>11011101=>4 [1,3,4,5,6,7,2,8]=>[8,6,5,4,3,2,7,1]=>[1,1,1,1,1,2,1]=>11111101=>2 [2,1,7,6,5,4,3,8]=>[7,8,2,3,4,5,6,1]=>[2,5,1]=>10100001=>4 [2,1,6,7,5,4,3,8]=>[7,8,3,2,4,5,6,1]=>[2,1,4,1]=>10110001=>4 [2,1,5,7,6,4,3,8]=>[7,8,4,2,3,5,6,1]=>[2,1,4,1]=>10110001=>4 [2,1,6,5,7,4,3,8]=>[7,8,3,4,2,5,6,1]=>[2,2,3,1]=>10101001=>6 [2,1,5,6,7,4,3,8]=>[7,8,4,3,2,5,6,1]=>[2,1,1,3,1]=>10111001=>4 [2,1,4,7,6,5,3,8]=>[7,8,5,2,3,4,6,1]=>[2,1,4,1]=>10110001=>4 [2,1,5,4,7,6,3,8]=>[7,8,4,5,2,3,6,1]=>[2,2,3,1]=>10101001=>6 [2,1,4,5,7,6,3,8]=>[7,8,5,4,2,3,6,1]=>[2,1,1,3,1]=>10111001=>4 [2,1,6,5,4,7,3,8]=>[7,8,3,4,5,2,6,1]=>[2,3,2,1]=>10100101=>6 [2,1,5,6,4,7,3,8]=>[7,8,4,3,5,2,6,1]=>[2,1,2,2,1]=>10110101=>6 [2,1,4,6,5,7,3,8]=>[7,8,5,3,4,2,6,1]=>[2,1,2,2,1]=>10110101=>6 [2,1,4,5,6,7,3,8]=>[7,8,5,4,3,2,6,1]=>[2,1,1,1,2,1]=>10111101=>4 [1,2,7,6,5,4,3,8]=>[8,7,2,3,4,5,6,1]=>[1,1,5,1]=>11100001=>2 [1,2,6,5,7,4,3,8]=>[8,7,3,4,2,5,6,1]=>[1,1,2,3,1]=>11101001=>4 [1,2,5,6,7,4,3,8]=>[8,7,4,3,2,5,6,1]=>[1,1,1,1,3,1]=>11111001=>2 [1,2,4,6,7,5,3,8]=>[8,7,5,3,2,4,6,1]=>[1,1,1,1,3,1]=>11111001=>2 [1,2,4,5,7,6,3,8]=>[8,7,5,4,2,3,6,1]=>[1,1,1,1,3,1]=>11111001=>2 [1,2,5,6,4,7,3,8]=>[8,7,4,3,5,2,6,1]=>[1,1,1,2,2,1]=>11110101=>4 [1,2,4,6,5,7,3,8]=>[8,7,5,3,4,2,6,1]=>[1,1,1,2,2,1]=>11110101=>4 [1,2,4,5,6,7,3,8]=>[8,7,5,4,3,2,6,1]=>[1,1,1,1,1,2,1]=>11111101=>2 [3,2,1,7,6,5,4,8]=>[6,7,8,2,3,4,5,1]=>[3,4,1]=>10010001=>4 [3,2,1,6,7,5,4,8]=>[6,7,8,3,2,4,5,1]=>[3,1,3,1]=>10011001=>4 [3,2,1,5,7,6,4,8]=>[6,7,8,4,2,3,5,1]=>[3,1,3,1]=>10011001=>4 [3,2,1,5,6,7,4,8]=>[6,7,8,4,3,2,5,1]=>[3,1,1,2,1]=>10011101=>4 [2,3,1,7,6,5,4,8]=>[7,6,8,2,3,4,5,1]=>[1,2,4,1]=>11010001=>4 [2,3,1,5,7,6,4,8]=>[7,6,8,4,2,3,5,1]=>[1,2,1,3,1]=>11011001=>4 [2,3,1,6,5,7,4,8]=>[7,6,8,3,4,2,5,1]=>[1,2,2,2,1]=>11010101=>6 [2,3,1,5,6,7,4,8]=>[7,6,8,4,3,2,5,1]=>[1,2,1,1,2,1]=>11011101=>4 [1,3,2,7,6,5,4,8]=>[8,6,7,2,3,4,5,1]=>[1,2,4,1]=>11010001=>4 [1,3,2,6,7,5,4,8]=>[8,6,7,3,2,4,5,1]=>[1,2,1,3,1]=>11011001=>4 [1,3,2,5,7,6,4,8]=>[8,6,7,4,2,3,5,1]=>[1,2,1,3,1]=>11011001=>4 [1,3,2,6,5,7,4,8]=>[8,6,7,3,4,2,5,1]=>[1,2,2,2,1]=>11010101=>6 [1,3,2,5,6,7,4,8]=>[8,6,7,4,3,2,5,1]=>[1,2,1,1,2,1]=>11011101=>4 [2,1,3,7,6,5,4,8]=>[7,8,6,2,3,4,5,1]=>[2,1,4,1]=>10110001=>4 [2,1,3,6,7,5,4,8]=>[7,8,6,3,2,4,5,1]=>[2,1,1,3,1]=>10111001=>4 [2,1,3,6,5,7,4,8]=>[7,8,6,3,4,2,5,1]=>[2,1,2,2,1]=>10110101=>6 [2,1,3,5,6,7,4,8]=>[7,8,6,4,3,2,5,1]=>[2,1,1,1,2,1]=>10111101=>4 [1,2,3,7,6,5,4,8]=>[8,7,6,2,3,4,5,1]=>[1,1,1,4,1]=>11110001=>2 [1,2,3,6,7,5,4,8]=>[8,7,6,3,2,4,5,1]=>[1,1,1,1,3,1]=>11111001=>2 [1,2,3,5,7,6,4,8]=>[8,7,6,4,2,3,5,1]=>[1,1,1,1,3,1]=>11111001=>2 [1,2,3,6,5,7,4,8]=>[8,7,6,3,4,2,5,1]=>[1,1,1,2,2,1]=>11110101=>4 [1,2,3,5,6,7,4,8]=>[8,7,6,4,3,2,5,1]=>[1,1,1,1,1,2,1]=>11111101=>2 [4,3,2,1,7,6,5,8]=>[5,6,7,8,2,3,4,1]=>[4,3,1]=>10001001=>4 [4,3,2,1,6,7,5,8]=>[5,6,7,8,3,2,4,1]=>[4,1,2,1]=>10001101=>4 [3,4,2,1,7,6,5,8]=>[6,5,7,8,2,3,4,1]=>[1,3,3,1]=>11001001=>4 [3,4,2,1,6,7,5,8]=>[6,5,7,8,3,2,4,1]=>[1,3,1,2,1]=>11001101=>4 [2,4,3,1,6,7,5,8]=>[7,5,6,8,3,2,4,1]=>[1,3,1,2,1]=>11001101=>4 [3,2,4,1,7,6,5,8]=>[6,7,5,8,2,3,4,1]=>[2,2,3,1]=>10101001=>6 [3,2,4,1,6,7,5,8]=>[6,7,5,8,3,2,4,1]=>[2,2,1,2,1]=>10101101=>6 [2,3,4,1,7,6,5,8]=>[7,6,5,8,2,3,4,1]=>[1,1,2,3,1]=>11101001=>4 [2,3,4,1,6,7,5,8]=>[7,6,5,8,3,2,4,1]=>[1,1,2,1,2,1]=>11101101=>4 [1,4,3,2,7,6,5,8]=>[8,5,6,7,2,3,4,1]=>[1,3,3,1]=>11001001=>4 [1,4,3,2,6,7,5,8]=>[8,5,6,7,3,2,4,1]=>[1,3,1,2,1]=>11001101=>4 [1,3,4,2,6,7,5,8]=>[8,6,5,7,3,2,4,1]=>[1,1,2,1,2,1]=>11101101=>4 [2,1,4,3,7,6,5,8]=>[7,8,5,6,2,3,4,1]=>[2,2,3,1]=>10101001=>6 [2,1,4,3,6,7,5,8]=>[7,8,5,6,3,2,4,1]=>[2,2,1,2,1]=>10101101=>6 [1,2,4,3,7,6,5,8]=>[8,7,5,6,2,3,4,1]=>[1,1,2,3,1]=>11101001=>4 [1,2,4,3,6,7,5,8]=>[8,7,5,6,3,2,4,1]=>[1,1,2,1,2,1]=>11101101=>4 [3,2,1,4,7,6,5,8]=>[6,7,8,5,2,3,4,1]=>[3,1,3,1]=>10011001=>4 [3,2,1,4,6,7,5,8]=>[6,7,8,5,3,2,4,1]=>[3,1,1,2,1]=>10011101=>4 [2,3,1,4,7,6,5,8]=>[7,6,8,5,2,3,4,1]=>[1,2,1,3,1]=>11011001=>4 [2,3,1,4,6,7,5,8]=>[7,6,8,5,3,2,4,1]=>[1,2,1,1,2,1]=>11011101=>4 [1,3,2,4,7,6,5,8]=>[8,6,7,5,2,3,4,1]=>[1,2,1,3,1]=>11011001=>4 [1,3,2,4,6,7,5,8]=>[8,6,7,5,3,2,4,1]=>[1,2,1,1,2,1]=>11011101=>4 [2,1,3,4,6,7,5,8]=>[7,8,6,5,3,2,4,1]=>[2,1,1,1,2,1]=>10111101=>4 [1,2,3,4,7,6,5,8]=>[8,7,6,5,2,3,4,1]=>[1,1,1,1,3,1]=>11111001=>2 [1,2,3,4,6,7,5,8]=>[8,7,6,5,3,2,4,1]=>[1,1,1,1,1,2,1]=>11111101=>2 [5,4,3,2,1,7,6,8]=>[4,5,6,7,8,2,3,1]=>[5,2,1]=>10000101=>4 [4,5,3,2,1,7,6,8]=>[5,4,6,7,8,2,3,1]=>[1,4,2,1]=>11000101=>4 [3,5,4,2,1,7,6,8]=>[6,4,5,7,8,2,3,1]=>[1,4,2,1]=>11000101=>4 [4,3,5,2,1,7,6,8]=>[5,6,4,7,8,2,3,1]=>[2,3,2,1]=>10100101=>6 [3,4,5,2,1,7,6,8]=>[6,5,4,7,8,2,3,1]=>[1,1,3,2,1]=>11100101=>4 [2,5,4,3,1,7,6,8]=>[7,4,5,6,8,2,3,1]=>[1,4,2,1]=>11000101=>4 [2,4,5,3,1,7,6,8]=>[7,5,4,6,8,2,3,1]=>[1,1,3,2,1]=>11100101=>4 [3,2,5,4,1,7,6,8]=>[6,7,4,5,8,2,3,1]=>[2,3,2,1]=>10100101=>6 [2,3,5,4,1,7,6,8]=>[7,6,4,5,8,2,3,1]=>[1,1,3,2,1]=>11100101=>4 [4,3,2,5,1,7,6,8]=>[5,6,7,4,8,2,3,1]=>[3,2,2,1]=>10010101=>6 [3,4,2,5,1,7,6,8]=>[6,5,7,4,8,2,3,1]=>[1,2,2,2,1]=>11010101=>6 [2,4,3,5,1,7,6,8]=>[7,5,6,4,8,2,3,1]=>[1,2,2,2,1]=>11010101=>6 [3,2,4,5,1,7,6,8]=>[6,7,5,4,8,2,3,1]=>[2,1,2,2,1]=>10110101=>6 [2,3,4,5,1,7,6,8]=>[7,6,5,4,8,2,3,1]=>[1,1,1,2,2,1]=>11110101=>4 [1,5,4,3,2,7,6,8]=>[8,4,5,6,7,2,3,1]=>[1,4,2,1]=>11000101=>4 [1,3,5,4,2,7,6,8]=>[8,6,4,5,7,2,3,1]=>[1,1,3,2,1]=>11100101=>4 [1,4,3,5,2,7,6,8]=>[8,5,6,4,7,2,3,1]=>[1,2,2,2,1]=>11010101=>6 [1,3,4,5,2,7,6,8]=>[8,6,5,4,7,2,3,1]=>[1,1,1,2,2,1]=>11110101=>4 [2,1,5,4,3,7,6,8]=>[7,8,4,5,6,2,3,1]=>[2,3,2,1]=>10100101=>6 [1,2,5,4,3,7,6,8]=>[8,7,4,5,6,2,3,1]=>[1,1,3,2,1]=>11100101=>4 [1,2,4,5,3,7,6,8]=>[8,7,5,4,6,2,3,1]=>[1,1,1,2,2,1]=>11110101=>4 [3,2,1,5,4,7,6,8]=>[6,7,8,4,5,2,3,1]=>[3,2,2,1]=>10010101=>6 [2,3,1,5,4,7,6,8]=>[7,6,8,4,5,2,3,1]=>[1,2,2,2,1]=>11010101=>6 [1,3,2,5,4,7,6,8]=>[8,6,7,4,5,2,3,1]=>[1,2,2,2,1]=>11010101=>6 [2,1,3,5,4,7,6,8]=>[7,8,6,4,5,2,3,1]=>[2,1,2,2,1]=>10110101=>6 [1,2,3,5,4,7,6,8]=>[8,7,6,4,5,2,3,1]=>[1,1,1,2,2,1]=>11110101=>4 [4,3,2,1,5,7,6,8]=>[5,6,7,8,4,2,3,1]=>[4,1,2,1]=>10001101=>4 [3,4,2,1,5,7,6,8]=>[6,5,7,8,4,2,3,1]=>[1,3,1,2,1]=>11001101=>4 [2,4,3,1,5,7,6,8]=>[7,5,6,8,4,2,3,1]=>[1,3,1,2,1]=>11001101=>4 [3,2,4,1,5,7,6,8]=>[6,7,5,8,4,2,3,1]=>[2,2,1,2,1]=>10101101=>6 [2,3,4,1,5,7,6,8]=>[7,6,5,8,4,2,3,1]=>[1,1,2,1,2,1]=>11101101=>4 [1,4,3,2,5,7,6,8]=>[8,5,6,7,4,2,3,1]=>[1,3,1,2,1]=>11001101=>4 [1,3,4,2,5,7,6,8]=>[8,6,5,7,4,2,3,1]=>[1,1,2,1,2,1]=>11101101=>4 [1,2,4,3,5,7,6,8]=>[8,7,5,6,4,2,3,1]=>[1,1,2,1,2,1]=>11101101=>4 [2,3,1,4,5,7,6,8]=>[7,6,8,5,4,2,3,1]=>[1,2,1,1,2,1]=>11011101=>4 [1,3,2,4,5,7,6,8]=>[8,6,7,5,4,2,3,1]=>[1,2,1,1,2,1]=>11011101=>4 [2,1,3,4,5,7,6,8]=>[7,8,6,5,4,2,3,1]=>[2,1,1,1,2,1]=>10111101=>4 [1,2,3,4,5,7,6,8]=>[8,7,6,5,4,2,3,1]=>[1,1,1,1,1,2,1]=>11111101=>2 [4,6,5,3,2,1,7,8]=>[5,3,4,6,7,8,2,1]=>[1,5,1,1]=>11000011=>2 [3,6,5,4,2,1,7,8]=>[6,3,4,5,7,8,2,1]=>[1,5,1,1]=>11000011=>2 [3,5,6,4,2,1,7,8]=>[6,4,3,5,7,8,2,1]=>[1,1,4,1,1]=>11100011=>2 [3,4,6,5,2,1,7,8]=>[6,5,3,4,7,8,2,1]=>[1,1,4,1,1]=>11100011=>2 [2,6,5,4,3,1,7,8]=>[7,3,4,5,6,8,2,1]=>[1,5,1,1]=>11000011=>2 [2,4,6,5,3,1,7,8]=>[7,5,3,4,6,8,2,1]=>[1,1,4,1,1]=>11100011=>2 [2,4,5,6,3,1,7,8]=>[7,5,4,3,6,8,2,1]=>[1,1,1,3,1,1]=>11110011=>2 [2,3,6,5,4,1,7,8]=>[7,6,3,4,5,8,2,1]=>[1,1,4,1,1]=>11100011=>2 [2,3,5,6,4,1,7,8]=>[7,6,4,3,5,8,2,1]=>[1,1,1,3,1,1]=>11110011=>2 [4,3,2,6,5,1,7,8]=>[5,6,7,3,4,8,2,1]=>[3,3,1,1]=>10010011=>4 [3,4,2,6,5,1,7,8]=>[6,5,7,3,4,8,2,1]=>[1,2,3,1,1]=>11010011=>4 [2,3,4,6,5,1,7,8]=>[7,6,5,3,4,8,2,1]=>[1,1,1,3,1,1]=>11110011=>2 [3,5,4,2,6,1,7,8]=>[6,4,5,7,3,8,2,1]=>[1,3,2,1,1]=>11001011=>4 [2,5,4,3,6,1,7,8]=>[7,4,5,6,3,8,2,1]=>[1,3,2,1,1]=>11001011=>4 [2,4,5,3,6,1,7,8]=>[7,5,4,6,3,8,2,1]=>[1,1,2,2,1,1]=>11101011=>4 [3,2,5,4,6,1,7,8]=>[6,7,4,5,3,8,2,1]=>[2,2,2,1,1]=>10101011=>6 [2,3,5,4,6,1,7,8]=>[7,6,4,5,3,8,2,1]=>[1,1,2,2,1,1]=>11101011=>4 [2,4,3,5,6,1,7,8]=>[7,5,6,4,3,8,2,1]=>[1,2,1,2,1,1]=>11011011=>4 [1,6,5,4,3,2,7,8]=>[8,3,4,5,6,7,2,1]=>[1,5,1,1]=>11000011=>2 [1,5,6,4,3,2,7,8]=>[8,4,3,5,6,7,2,1]=>[1,1,4,1,1]=>11100011=>2 [1,4,6,5,3,2,7,8]=>[8,5,3,4,6,7,2,1]=>[1,1,4,1,1]=>11100011=>2 [1,4,5,6,3,2,7,8]=>[8,5,4,3,6,7,2,1]=>[1,1,1,3,1,1]=>11110011=>2 [1,3,6,5,4,2,7,8]=>[8,6,3,4,5,7,2,1]=>[1,1,4,1,1]=>11100011=>2 [1,3,5,6,4,2,7,8]=>[8,6,4,3,5,7,2,1]=>[1,1,1,3,1,1]=>11110011=>2 [1,4,3,6,5,2,7,8]=>[8,5,6,3,4,7,2,1]=>[1,2,3,1,1]=>11010011=>4 [1,4,5,3,6,2,7,8]=>[8,5,4,6,3,7,2,1]=>[1,1,2,2,1,1]=>11101011=>4 [1,3,5,4,6,2,7,8]=>[8,6,4,5,3,7,2,1]=>[1,1,2,2,1,1]=>11101011=>4 [1,4,3,5,6,2,7,8]=>[8,5,6,4,3,7,2,1]=>[1,2,1,2,1,1]=>11011011=>4 [1,3,4,5,6,2,7,8]=>[8,6,5,4,3,7,2,1]=>[1,1,1,1,2,1,1]=>11111011=>2 [2,1,6,5,4,3,7,8]=>[7,8,3,4,5,6,2,1]=>[2,4,1,1]=>10100011=>4 [2,1,5,6,4,3,7,8]=>[7,8,4,3,5,6,2,1]=>[2,1,3,1,1]=>10110011=>4 [2,1,4,6,5,3,7,8]=>[7,8,5,3,4,6,2,1]=>[2,1,3,1,1]=>10110011=>4 [2,1,4,5,6,3,7,8]=>[7,8,5,4,3,6,2,1]=>[2,1,1,2,1,1]=>10111011=>4 [1,2,6,5,4,3,7,8]=>[8,7,3,4,5,6,2,1]=>[1,1,4,1,1]=>11100011=>2 [1,2,5,6,4,3,7,8]=>[8,7,4,3,5,6,2,1]=>[1,1,1,3,1,1]=>11110011=>2 [1,2,4,6,5,3,7,8]=>[8,7,5,3,4,6,2,1]=>[1,1,1,3,1,1]=>11110011=>2 [1,2,5,4,6,3,7,8]=>[8,7,4,5,3,6,2,1]=>[1,1,2,2,1,1]=>11101011=>4 [1,2,4,5,6,3,7,8]=>[8,7,5,4,3,6,2,1]=>[1,1,1,1,2,1,1]=>11111011=>2 [3,2,1,6,5,4,7,8]=>[6,7,8,3,4,5,2,1]=>[3,3,1,1]=>10010011=>4 [3,2,1,5,6,4,7,8]=>[6,7,8,4,3,5,2,1]=>[3,1,2,1,1]=>10011011=>4 [2,3,1,6,5,4,7,8]=>[7,6,8,3,4,5,2,1]=>[1,2,3,1,1]=>11010011=>4 [2,3,1,5,6,4,7,8]=>[7,6,8,4,3,5,2,1]=>[1,2,1,2,1,1]=>11011011=>4 [1,3,2,6,5,4,7,8]=>[8,6,7,3,4,5,2,1]=>[1,2,3,1,1]=>11010011=>4 [1,3,2,5,6,4,7,8]=>[8,6,7,4,3,5,2,1]=>[1,2,1,2,1,1]=>11011011=>4 [2,1,3,6,5,4,7,8]=>[7,8,6,3,4,5,2,1]=>[2,1,3,1,1]=>10110011=>4 [2,1,3,5,6,4,7,8]=>[7,8,6,4,3,5,2,1]=>[2,1,1,2,1,1]=>10111011=>4 [1,2,3,6,5,4,7,8]=>[8,7,6,3,4,5,2,1]=>[1,1,1,3,1,1]=>11110011=>2 [1,2,3,5,6,4,7,8]=>[8,7,6,4,3,5,2,1]=>[1,1,1,1,2,1,1]=>11111011=>2 [4,3,2,1,6,5,7,8]=>[5,6,7,8,3,4,2,1]=>[4,2,1,1]=>10001011=>4 [3,4,2,1,6,5,7,8]=>[6,5,7,8,3,4,2,1]=>[1,3,2,1,1]=>11001011=>4 [3,2,4,1,6,5,7,8]=>[6,7,5,8,3,4,2,1]=>[2,2,2,1,1]=>10101011=>6 [2,3,4,1,6,5,7,8]=>[7,6,5,8,3,4,2,1]=>[1,1,2,2,1,1]=>11101011=>4 [1,4,3,2,6,5,7,8]=>[8,5,6,7,3,4,2,1]=>[1,3,2,1,1]=>11001011=>4 [1,3,4,2,6,5,7,8]=>[8,6,5,7,3,4,2,1]=>[1,1,2,2,1,1]=>11101011=>4 [2,1,4,3,6,5,7,8]=>[7,8,5,6,3,4,2,1]=>[2,2,2,1,1]=>10101011=>6 [1,2,4,3,6,5,7,8]=>[8,7,5,6,3,4,2,1]=>[1,1,2,2,1,1]=>11101011=>4 [3,2,1,4,6,5,7,8]=>[6,7,8,5,3,4,2,1]=>[3,1,2,1,1]=>10011011=>4 [2,3,1,4,6,5,7,8]=>[7,6,8,5,3,4,2,1]=>[1,2,1,2,1,1]=>11011011=>4 [1,3,2,4,6,5,7,8]=>[8,6,7,5,3,4,2,1]=>[1,2,1,2,1,1]=>11011011=>4 [2,1,3,4,6,5,7,8]=>[7,8,6,5,3,4,2,1]=>[2,1,1,2,1,1]=>10111011=>4 [1,2,3,4,6,5,7,8]=>[8,7,6,5,3,4,2,1]=>[1,1,1,1,2,1,1]=>11111011=>2 [3,5,4,2,1,6,7,8]=>[6,4,5,7,8,3,2,1]=>[1,4,1,1,1]=>11000111=>2 [2,5,4,3,1,6,7,8]=>[7,4,5,6,8,3,2,1]=>[1,4,1,1,1]=>11000111=>2 [2,4,5,3,1,6,7,8]=>[7,5,4,6,8,3,2,1]=>[1,1,3,1,1,1]=>11100111=>2 [3,2,5,4,1,6,7,8]=>[6,7,4,5,8,3,2,1]=>[2,3,1,1,1]=>10100111=>4 [2,3,5,4,1,6,7,8]=>[7,6,4,5,8,3,2,1]=>[1,1,3,1,1,1]=>11100111=>2 [2,4,3,5,1,6,7,8]=>[7,5,6,4,8,3,2,1]=>[1,2,2,1,1,1]=>11010111=>4 [1,5,4,3,2,6,7,8]=>[8,4,5,6,7,3,2,1]=>[1,4,1,1,1]=>11000111=>2 [1,4,5,3,2,6,7,8]=>[8,5,4,6,7,3,2,1]=>[1,1,3,1,1,1]=>11100111=>2 [1,3,5,4,2,6,7,8]=>[8,6,4,5,7,3,2,1]=>[1,1,3,1,1,1]=>11100111=>2 [1,4,3,5,2,6,7,8]=>[8,5,6,4,7,3,2,1]=>[1,2,2,1,1,1]=>11010111=>4 [1,3,4,5,2,6,7,8]=>[8,6,5,4,7,3,2,1]=>[1,1,1,2,1,1,1]=>11110111=>2 [2,1,5,4,3,6,7,8]=>[7,8,4,5,6,3,2,1]=>[2,3,1,1,1]=>10100111=>4 [2,1,4,5,3,6,7,8]=>[7,8,5,4,6,3,2,1]=>[2,1,2,1,1,1]=>10110111=>4 [1,2,5,4,3,6,7,8]=>[8,7,4,5,6,3,2,1]=>[1,1,3,1,1,1]=>11100111=>2 [1,2,4,5,3,6,7,8]=>[8,7,5,4,6,3,2,1]=>[1,1,1,2,1,1,1]=>11110111=>2 [3,2,1,5,4,6,7,8]=>[6,7,8,4,5,3,2,1]=>[3,2,1,1,1]=>10010111=>4 [2,3,1,5,4,6,7,8]=>[7,6,8,4,5,3,2,1]=>[1,2,2,1,1,1]=>11010111=>4 [1,3,2,5,4,6,7,8]=>[8,6,7,4,5,3,2,1]=>[1,2,2,1,1,1]=>11010111=>4 [2,1,3,5,4,6,7,8]=>[7,8,6,4,5,3,2,1]=>[2,1,2,1,1,1]=>10110111=>4 [1,2,3,5,4,6,7,8]=>[8,7,6,4,5,3,2,1]=>[1,1,1,2,1,1,1]=>11110111=>2 [2,4,3,1,5,6,7,8]=>[7,5,6,8,4,3,2,1]=>[1,3,1,1,1,1]=>11001111=>2 [1,4,3,2,5,6,7,8]=>[8,5,6,7,4,3,2,1]=>[1,3,1,1,1,1]=>11001111=>2 [1,3,4,2,5,6,7,8]=>[8,6,5,7,4,3,2,1]=>[1,1,2,1,1,1,1]=>11101111=>2 [2,1,4,3,5,6,7,8]=>[7,8,5,6,4,3,2,1]=>[2,2,1,1,1,1]=>10101111=>4 [1,2,4,3,5,6,7,8]=>[8,7,5,6,4,3,2,1]=>[1,1,2,1,1,1,1]=>11101111=>2 [1,3,2,4,5,6,7,8]=>[8,6,7,5,4,3,2,1]=>[1,2,1,1,1,1,1]=>11011111=>2 [1,2,3,4,8,6,7,5]=>[8,7,6,5,1,3,2,4]=>[1,1,1,1,2,2]=>11111010=>3 [1,2,3,5,8,6,7,4]=>[8,7,6,4,1,3,2,5]=>[1,1,1,1,2,2]=>11111010=>3 [1,2,3,7,5,6,4,8]=>[8,7,6,2,4,3,5,1]=>[1,1,1,2,2,1]=>11110101=>4 [1,2,3,7,5,6,8,4]=>[8,7,6,2,4,3,1,5]=>[1,1,1,2,1,2]=>11110110=>3 [1,2,3,8,5,6,7,4]=>[8,7,6,1,4,3,2,5]=>[1,1,1,2,1,2]=>11110110=>3 [1,2,3,8,5,7,6,4]=>[8,7,6,1,4,2,3,5]=>[1,1,1,2,3]=>11110100=>3 [1,2,3,8,6,5,7,4]=>[8,7,6,1,3,4,2,5]=>[1,1,1,3,2]=>11110010=>3 [1,2,3,8,6,7,5,4]=>[8,7,6,1,3,2,4,5]=>[1,1,1,2,3]=>11110100=>3 [1,2,4,3,8,6,7,5]=>[8,7,5,6,1,3,2,4]=>[1,1,2,2,2]=>11101010=>5 [1,2,4,5,8,6,7,3]=>[8,7,5,4,1,3,2,6]=>[1,1,1,1,2,2]=>11111010=>3 [1,2,4,7,5,6,3,8]=>[8,7,5,2,4,3,6,1]=>[1,1,1,2,2,1]=>11110101=>4 [1,2,4,7,5,6,8,3]=>[8,7,5,2,4,3,1,6]=>[1,1,1,2,1,2]=>11110110=>3 [1,2,4,8,5,6,7,3]=>[8,7,5,1,4,3,2,6]=>[1,1,1,2,1,2]=>11110110=>3 [1,2,4,8,5,7,6,3]=>[8,7,5,1,4,2,3,6]=>[1,1,1,2,3]=>11110100=>3 [1,2,4,8,6,5,7,3]=>[8,7,5,1,3,4,2,6]=>[1,1,1,3,2]=>11110010=>3 [1,2,5,4,8,6,7,3]=>[8,7,4,5,1,3,2,6]=>[1,1,2,2,2]=>11101010=>5 [1,2,6,4,5,3,7,8]=>[8,7,3,5,4,6,2,1]=>[1,1,2,2,1,1]=>11101011=>4 [1,2,6,4,5,7,3,8]=>[8,7,3,5,4,2,6,1]=>[1,1,2,1,2,1]=>11101101=>4 [1,2,6,4,5,7,8,3]=>[8,7,3,5,4,2,1,6]=>[1,1,2,1,1,2]=>11101110=>3 [1,2,6,4,5,8,7,3]=>[8,7,3,5,4,1,2,6]=>[1,1,2,1,3]=>11101100=>3 [1,2,7,4,5,6,3,8]=>[8,7,2,5,4,3,6,1]=>[1,1,2,1,2,1]=>11101101=>4 [1,2,7,4,5,6,8,3]=>[8,7,2,5,4,3,1,6]=>[1,1,2,1,1,2]=>11101110=>3 [1,2,8,4,5,6,7,3]=>[8,7,1,5,4,3,2,6]=>[1,1,2,1,1,2]=>11101110=>3 [1,2,8,4,5,7,6,3]=>[8,7,1,5,4,2,3,6]=>[1,1,2,1,3]=>11101100=>3 [1,2,7,4,6,5,8,3]=>[8,7,2,5,3,4,1,6]=>[1,1,2,2,2]=>11101010=>5 [1,2,8,4,7,6,5,3]=>[8,7,1,5,2,3,4,6]=>[1,1,2,4]=>11101000=>3 [1,2,7,5,4,6,3,8]=>[8,7,2,4,5,3,6,1]=>[1,1,3,2,1]=>11100101=>4 [1,2,7,5,4,6,8,3]=>[8,7,2,4,5,3,1,6]=>[1,1,3,1,2]=>11100110=>3 [1,2,8,5,4,6,7,3]=>[8,7,1,4,5,3,2,6]=>[1,1,3,1,2]=>11100110=>3 [1,2,8,5,4,7,6,3]=>[8,7,1,4,5,2,3,6]=>[1,1,3,3]=>11100100=>3 [1,2,7,5,6,4,3,8]=>[8,7,2,4,3,5,6,1]=>[1,1,2,3,1]=>11101001=>4 [1,2,7,5,6,4,8,3]=>[8,7,2,4,3,5,1,6]=>[1,1,2,2,2]=>11101010=>5 [1,2,8,5,6,4,7,3]=>[8,7,1,4,3,5,2,6]=>[1,1,2,2,2]=>11101010=>5 [1,2,8,5,6,7,4,3]=>[8,7,1,4,3,2,5,6]=>[1,1,2,1,3]=>11101100=>3 [1,2,8,5,7,6,4,3]=>[8,7,1,4,2,3,5,6]=>[1,1,2,4]=>11101000=>3 [1,2,8,6,5,4,7,3]=>[8,7,1,3,4,5,2,6]=>[1,1,4,2]=>11100010=>3 [1,2,8,6,5,7,4,3]=>[8,7,1,3,4,2,5,6]=>[1,1,3,3]=>11100100=>3 [1,2,8,7,5,6,4,3]=>[8,7,1,2,4,3,5,6]=>[1,1,3,3]=>11100100=>3 [1,3,2,4,8,6,7,5]=>[8,6,7,5,1,3,2,4]=>[1,2,1,2,2]=>11011010=>5 [1,3,2,5,8,6,7,4]=>[8,6,7,4,1,3,2,5]=>[1,2,1,2,2]=>11011010=>5 [1,3,2,7,5,6,4,8]=>[8,6,7,2,4,3,5,1]=>[1,2,2,2,1]=>11010101=>6 [1,3,2,8,5,6,7,4]=>[8,6,7,1,4,3,2,5]=>[1,2,2,1,2]=>11010110=>5 [1,3,2,8,5,7,6,4]=>[8,6,7,1,4,2,3,5]=>[1,2,2,3]=>11010100=>5 [1,3,2,8,6,5,7,4]=>[8,6,7,1,3,4,2,5]=>[1,2,3,2]=>11010010=>5 [1,3,2,8,6,7,5,4]=>[8,6,7,1,3,2,4,5]=>[1,2,2,3]=>11010100=>5 [1,3,4,2,8,6,7,5]=>[8,6,5,7,1,3,2,4]=>[1,1,2,2,2]=>11101010=>5 [1,3,4,5,8,6,7,2]=>[8,6,5,4,1,3,2,7]=>[1,1,1,1,2,2]=>11111010=>3 [1,3,4,7,5,6,2,8]=>[8,6,5,2,4,3,7,1]=>[1,1,1,2,2,1]=>11110101=>4 [1,3,4,7,5,6,8,2]=>[8,6,5,2,4,3,1,7]=>[1,1,1,2,1,2]=>11110110=>3 [1,3,4,8,5,6,7,2]=>[8,6,5,1,4,3,2,7]=>[1,1,1,2,1,2]=>11110110=>3 [1,3,4,8,5,7,6,2]=>[8,6,5,1,4,2,3,7]=>[1,1,1,2,3]=>11110100=>3 [1,3,4,8,6,5,7,2]=>[8,6,5,1,3,4,2,7]=>[1,1,1,3,2]=>11110010=>3 [1,3,4,8,6,7,5,2]=>[8,6,5,1,3,2,4,7]=>[1,1,1,2,3]=>11110100=>3 [1,3,5,4,8,6,7,2]=>[8,6,4,5,1,3,2,7]=>[1,1,2,2,2]=>11101010=>5 [1,3,6,4,5,2,7,8]=>[8,6,3,5,4,7,2,1]=>[1,1,2,2,1,1]=>11101011=>4 [1,3,6,4,5,2,8,7]=>[8,6,3,5,4,7,1,2]=>[1,1,2,2,2]=>11101010=>5 [1,3,6,4,5,7,2,8]=>[8,6,3,5,4,2,7,1]=>[1,1,2,1,2,1]=>11101101=>4 [1,3,6,4,5,7,8,2]=>[8,6,3,5,4,2,1,7]=>[1,1,2,1,1,2]=>11101110=>3 [1,3,6,4,5,8,7,2]=>[8,6,3,5,4,1,2,7]=>[1,1,2,1,3]=>11101100=>3 [1,3,7,4,5,6,2,8]=>[8,6,2,5,4,3,7,1]=>[1,1,2,1,2,1]=>11101101=>4 [1,3,8,4,5,6,7,2]=>[8,6,1,5,4,3,2,7]=>[1,1,2,1,1,2]=>11101110=>3 [1,3,7,4,6,5,2,8]=>[8,6,2,5,3,4,7,1]=>[1,1,2,3,1]=>11101001=>4 [1,3,7,4,6,5,8,2]=>[8,6,2,5,3,4,1,7]=>[1,1,2,2,2]=>11101010=>5 [1,3,8,4,6,7,5,2]=>[8,6,1,5,3,2,4,7]=>[1,1,2,1,3]=>11101100=>3 [1,3,8,4,7,6,5,2]=>[8,6,1,5,2,3,4,7]=>[1,1,2,4]=>11101000=>3 [1,3,7,5,4,6,2,8]=>[8,6,2,4,5,3,7,1]=>[1,1,3,2,1]=>11100101=>4 [1,3,7,5,4,6,8,2]=>[8,6,2,4,5,3,1,7]=>[1,1,3,1,2]=>11100110=>3 [1,3,8,5,4,6,7,2]=>[8,6,1,4,5,3,2,7]=>[1,1,3,1,2]=>11100110=>3 [1,3,8,5,4,7,6,2]=>[8,6,1,4,5,2,3,7]=>[1,1,3,3]=>11100100=>3 [1,3,7,5,6,4,8,2]=>[8,6,2,4,3,5,1,7]=>[1,1,2,2,2]=>11101010=>5 [1,3,8,5,6,4,7,2]=>[8,6,1,4,3,5,2,7]=>[1,1,2,2,2]=>11101010=>5 [1,3,8,5,6,7,4,2]=>[8,6,1,4,3,2,5,7]=>[1,1,2,1,3]=>11101100=>3 [1,3,8,5,7,6,4,2]=>[8,6,1,4,2,3,5,7]=>[1,1,2,4]=>11101000=>3 [1,3,8,6,5,7,4,2]=>[8,6,1,3,4,2,5,7]=>[1,1,3,3]=>11100100=>3 [1,3,8,7,5,6,4,2]=>[8,6,1,2,4,3,5,7]=>[1,1,3,3]=>11100100=>3 [1,4,3,2,8,6,7,5]=>[8,5,6,7,1,3,2,4]=>[1,3,2,2]=>11001010=>5 [1,4,3,5,8,6,7,2]=>[8,5,6,4,1,3,2,7]=>[1,2,1,2,2]=>11011010=>5 [1,4,3,7,5,6,2,8]=>[8,5,6,2,4,3,7,1]=>[1,2,2,2,1]=>11010101=>6 [1,4,3,8,5,6,7,2]=>[8,5,6,1,4,3,2,7]=>[1,2,2,1,2]=>11010110=>5 [1,4,3,8,5,7,6,2]=>[8,5,6,1,4,2,3,7]=>[1,2,2,3]=>11010100=>5 [1,4,3,8,6,5,7,2]=>[8,5,6,1,3,4,2,7]=>[1,2,3,2]=>11010010=>5 [1,4,3,8,6,7,5,2]=>[8,5,6,1,3,2,4,7]=>[1,2,2,3]=>11010100=>5 [1,5,3,4,2,6,7,8]=>[8,4,6,5,7,3,2,1]=>[1,2,2,1,1,1]=>11010111=>4 [1,5,3,4,2,6,8,7]=>[8,4,6,5,7,3,1,2]=>[1,2,2,1,2]=>11010110=>5 [1,5,3,4,2,7,6,8]=>[8,4,6,5,7,2,3,1]=>[1,2,2,2,1]=>11010101=>6 [1,5,3,4,2,7,8,6]=>[8,4,6,5,7,2,1,3]=>[1,2,2,1,2]=>11010110=>5 [1,5,3,4,2,8,7,6]=>[8,4,6,5,7,1,2,3]=>[1,2,2,3]=>11010100=>5 [1,5,3,4,6,7,2,8]=>[8,4,6,5,3,2,7,1]=>[1,2,1,1,2,1]=>11011101=>4 [1,5,3,4,6,7,8,2]=>[8,4,6,5,3,2,1,7]=>[1,2,1,1,1,2]=>11011110=>3 [1,5,3,4,7,6,2,8]=>[8,4,6,5,2,3,7,1]=>[1,2,1,3,1]=>11011001=>4 [1,5,3,4,8,6,7,2]=>[8,4,6,5,1,3,2,7]=>[1,2,1,2,2]=>11011010=>5 [1,6,3,4,5,2,7,8]=>[8,3,6,5,4,7,2,1]=>[1,2,1,2,1,1]=>11011011=>4 [1,6,3,4,5,2,8,7]=>[8,3,6,5,4,7,1,2]=>[1,2,1,2,2]=>11011010=>5 [1,6,3,4,5,7,2,8]=>[8,3,6,5,4,2,7,1]=>[1,2,1,1,2,1]=>11011101=>4 [1,6,3,4,5,7,8,2]=>[8,3,6,5,4,2,1,7]=>[1,2,1,1,1,2]=>11011110=>3 [1,6,3,4,5,8,7,2]=>[8,3,6,5,4,1,2,7]=>[1,2,1,1,3]=>11011100=>3 [1,7,3,4,5,6,2,8]=>[8,2,6,5,4,3,7,1]=>[1,2,1,1,2,1]=>11011101=>4 [1,7,3,4,5,6,8,2]=>[8,2,6,5,4,3,1,7]=>[1,2,1,1,1,2]=>11011110=>3 [1,8,3,4,5,6,7,2]=>[8,1,6,5,4,3,2,7]=>[1,2,1,1,1,2]=>11011110=>3 [1,8,3,4,5,7,6,2]=>[8,1,6,5,4,2,3,7]=>[1,2,1,1,3]=>11011100=>3 [1,8,3,4,6,7,5,2]=>[8,1,6,5,3,2,4,7]=>[1,2,1,1,3]=>11011100=>3 [1,8,3,4,7,6,5,2]=>[8,1,6,5,2,3,4,7]=>[1,2,1,4]=>11011000=>3 [1,6,3,5,4,2,7,8]=>[8,3,6,4,5,7,2,1]=>[1,2,3,1,1]=>11010011=>4 [1,6,3,5,4,7,2,8]=>[8,3,6,4,5,2,7,1]=>[1,2,2,2,1]=>11010101=>6 [1,6,3,5,4,7,8,2]=>[8,3,6,4,5,2,1,7]=>[1,2,2,1,2]=>11010110=>5 [1,6,3,5,4,8,7,2]=>[8,3,6,4,5,1,2,7]=>[1,2,2,3]=>11010100=>5 [1,7,3,5,4,6,2,8]=>[8,2,6,4,5,3,7,1]=>[1,2,2,2,1]=>11010101=>6 [1,7,3,5,4,6,8,2]=>[8,2,6,4,5,3,1,7]=>[1,2,2,1,2]=>11010110=>5 [1,8,3,5,4,6,7,2]=>[8,1,6,4,5,3,2,7]=>[1,2,2,1,2]=>11010110=>5 [1,8,3,5,4,7,6,2]=>[8,1,6,4,5,2,3,7]=>[1,2,2,3]=>11010100=>5 [1,7,3,5,6,4,8,2]=>[8,2,6,4,3,5,1,7]=>[1,2,1,2,2]=>11011010=>5 [1,8,3,5,6,4,7,2]=>[8,1,6,4,3,5,2,7]=>[1,2,1,2,2]=>11011010=>5 [1,8,3,5,6,7,4,2]=>[8,1,6,4,3,2,5,7]=>[1,2,1,1,3]=>11011100=>3 [1,8,3,5,7,6,4,2]=>[8,1,6,4,2,3,5,7]=>[1,2,1,4]=>11011000=>3 [1,7,3,6,5,4,2,8]=>[8,2,6,3,4,5,7,1]=>[1,2,4,1]=>11010001=>4 [1,7,3,6,5,4,8,2]=>[8,2,6,3,4,5,1,7]=>[1,2,3,2]=>11010010=>5 [1,8,3,6,5,4,7,2]=>[8,1,6,3,4,5,2,7]=>[1,2,3,2]=>11010010=>5 [1,8,3,6,5,7,4,2]=>[8,1,6,3,4,2,5,7]=>[1,2,2,3]=>11010100=>5 [1,8,3,7,5,6,4,2]=>[8,1,6,2,4,3,5,7]=>[1,2,2,3]=>11010100=>5 [1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[1,2,5]=>11010000=>3 [1,6,4,3,5,2,7,8]=>[8,3,5,6,4,7,2,1]=>[1,3,2,1,1]=>11001011=>4 [1,6,4,3,5,2,8,7]=>[8,3,5,6,4,7,1,2]=>[1,3,2,2]=>11001010=>5 [1,6,4,3,5,8,7,2]=>[8,3,5,6,4,1,2,7]=>[1,3,1,3]=>11001100=>3 [1,7,4,3,5,6,8,2]=>[8,2,5,6,4,3,1,7]=>[1,3,1,1,2]=>11001110=>3 [1,8,4,3,5,6,7,2]=>[8,1,5,6,4,3,2,7]=>[1,3,1,1,2]=>11001110=>3 [1,8,4,3,5,7,6,2]=>[8,1,5,6,4,2,3,7]=>[1,3,1,3]=>11001100=>3 [1,7,4,3,6,5,2,8]=>[8,2,5,6,3,4,7,1]=>[1,3,3,1]=>11001001=>4 [1,7,4,3,6,5,8,2]=>[8,2,5,6,3,4,1,7]=>[1,3,2,2]=>11001010=>5 [1,8,4,3,6,5,7,2]=>[8,1,5,6,3,4,2,7]=>[1,3,2,2]=>11001010=>5 [1,8,4,3,6,7,5,2]=>[8,1,5,6,3,2,4,7]=>[1,3,1,3]=>11001100=>3 [1,6,4,5,3,2,7,8]=>[8,3,5,4,6,7,2,1]=>[1,2,3,1,1]=>11010011=>4 [1,6,4,5,3,2,8,7]=>[8,3,5,4,6,7,1,2]=>[1,2,3,2]=>11010010=>5 [1,6,4,5,3,7,2,8]=>[8,3,5,4,6,2,7,1]=>[1,2,2,2,1]=>11010101=>6 [1,6,4,5,3,8,7,2]=>[8,3,5,4,6,1,2,7]=>[1,2,2,3]=>11010100=>5 [1,7,4,5,3,6,8,2]=>[8,2,5,4,6,3,1,7]=>[1,2,2,1,2]=>11010110=>5 [1,8,4,5,3,6,7,2]=>[8,1,5,4,6,3,2,7]=>[1,2,2,1,2]=>11010110=>5 [1,8,4,5,3,7,6,2]=>[8,1,5,4,6,2,3,7]=>[1,2,2,3]=>11010100=>5 [1,7,4,5,6,3,2,8]=>[8,2,5,4,3,6,7,1]=>[1,2,1,3,1]=>11011001=>4 [1,7,4,5,6,3,8,2]=>[8,2,5,4,3,6,1,7]=>[1,2,1,2,2]=>11011010=>5 [1,8,4,5,6,3,7,2]=>[8,1,5,4,3,6,2,7]=>[1,2,1,2,2]=>11011010=>5 [1,8,4,5,6,7,3,2]=>[8,1,5,4,3,2,6,7]=>[1,2,1,1,3]=>11011100=>3 [1,8,4,5,7,6,3,2]=>[8,1,5,4,2,3,6,7]=>[1,2,1,4]=>11011000=>3 [1,7,4,6,5,3,2,8]=>[8,2,5,3,4,6,7,1]=>[1,2,4,1]=>11010001=>4 [1,7,4,6,5,3,8,2]=>[8,2,5,3,4,6,1,7]=>[1,2,3,2]=>11010010=>5 [1,8,4,6,5,3,7,2]=>[8,1,5,3,4,6,2,7]=>[1,2,3,2]=>11010010=>5 [1,8,4,6,5,7,3,2]=>[8,1,5,3,4,2,6,7]=>[1,2,2,3]=>11010100=>5 [1,8,4,7,5,6,3,2]=>[8,1,5,2,4,3,6,7]=>[1,2,2,3]=>11010100=>5 [1,8,4,7,6,5,3,2]=>[8,1,5,2,3,4,6,7]=>[1,2,5]=>11010000=>3 [1,7,5,4,3,6,2,8]=>[8,2,4,5,6,3,7,1]=>[1,4,2,1]=>11000101=>4 [1,7,5,4,3,6,8,2]=>[8,2,4,5,6,3,1,7]=>[1,4,1,2]=>11000110=>3 [1,8,5,4,3,6,7,2]=>[8,1,4,5,6,3,2,7]=>[1,4,1,2]=>11000110=>3 [1,8,5,4,3,7,6,2]=>[8,1,4,5,6,2,3,7]=>[1,4,3]=>11000100=>3 [1,7,5,4,6,3,2,8]=>[8,2,4,5,3,6,7,1]=>[1,3,3,1]=>11001001=>4 [1,8,5,4,6,3,7,2]=>[8,1,4,5,3,6,2,7]=>[1,3,2,2]=>11001010=>5 [1,8,5,4,6,7,3,2]=>[8,1,4,5,3,2,6,7]=>[1,3,1,3]=>11001100=>3 [1,8,5,4,7,6,3,2]=>[8,1,4,5,2,3,6,7]=>[1,3,4]=>11001000=>3 [1,7,6,4,5,3,2,8]=>[8,2,3,5,4,6,7,1]=>[1,3,3,1]=>11001001=>4 [1,8,6,4,5,3,7,2]=>[8,1,3,5,4,6,2,7]=>[1,3,2,2]=>11001010=>5 [1,8,6,4,5,7,3,2]=>[8,1,3,5,4,2,6,7]=>[1,3,1,3]=>11001100=>3 [1,8,7,4,5,6,3,2]=>[8,1,2,5,4,3,6,7]=>[1,3,1,3]=>11001100=>3 [1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[1,3,4]=>11001000=>3 [1,8,6,5,4,7,3,2]=>[8,1,3,4,5,2,6,7]=>[1,4,3]=>11000100=>3 [1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[1,4,3]=>11000100=>3 [1,8,7,5,6,4,3,2]=>[8,1,2,4,3,5,6,7]=>[1,3,4]=>11001000=>3 [2,1,3,4,8,6,7,5]=>[7,8,6,5,1,3,2,4]=>[2,1,1,2,2]=>10111010=>5 [2,1,3,5,8,6,7,4]=>[7,8,6,4,1,3,2,5]=>[2,1,1,2,2]=>10111010=>5 [2,1,3,8,5,6,7,4]=>[7,8,6,1,4,3,2,5]=>[2,1,2,1,2]=>10110110=>5 [2,1,3,8,5,7,6,4]=>[7,8,6,1,4,2,3,5]=>[2,1,2,3]=>10110100=>5 [2,1,3,8,6,5,7,4]=>[7,8,6,1,3,4,2,5]=>[2,1,3,2]=>10110010=>5 [2,1,3,8,6,7,5,4]=>[7,8,6,1,3,2,4,5]=>[2,1,2,3]=>10110100=>5 [2,1,4,3,8,6,7,5]=>[7,8,5,6,1,3,2,4]=>[2,2,2,2]=>10101010=>7 [2,1,4,5,8,6,7,3]=>[7,8,5,4,1,3,2,6]=>[2,1,1,2,2]=>10111010=>5 [2,1,4,7,5,6,3,8]=>[7,8,5,2,4,3,6,1]=>[2,1,2,2,1]=>10110101=>6 [2,1,4,8,5,6,7,3]=>[7,8,5,1,4,3,2,6]=>[2,1,2,1,2]=>10110110=>5 [2,1,4,8,5,7,6,3]=>[7,8,5,1,4,2,3,6]=>[2,1,2,3]=>10110100=>5 [2,1,4,8,6,5,7,3]=>[7,8,5,1,3,4,2,6]=>[2,1,3,2]=>10110010=>5 [2,1,4,8,6,7,5,3]=>[7,8,5,1,3,2,4,6]=>[2,1,2,3]=>10110100=>5 [2,1,5,4,8,6,7,3]=>[7,8,4,5,1,3,2,6]=>[2,2,2,2]=>10101010=>7 [2,1,6,4,5,3,7,8]=>[7,8,3,5,4,6,2,1]=>[2,2,2,1,1]=>10101011=>6 [2,1,6,4,5,3,8,7]=>[7,8,3,5,4,6,1,2]=>[2,2,2,2]=>10101010=>7 [2,1,6,4,5,7,8,3]=>[7,8,3,5,4,2,1,6]=>[2,2,1,1,2]=>10101110=>5 [2,1,6,4,5,8,7,3]=>[7,8,3,5,4,1,2,6]=>[2,2,1,3]=>10101100=>5 [2,1,7,4,5,6,3,8]=>[7,8,2,5,4,3,6,1]=>[2,2,1,2,1]=>10101101=>6 [2,1,7,4,5,6,8,3]=>[7,8,2,5,4,3,1,6]=>[2,2,1,1,2]=>10101110=>5 [2,1,8,4,5,6,7,3]=>[7,8,1,5,4,3,2,6]=>[2,2,1,1,2]=>10101110=>5 [2,1,8,4,5,7,6,3]=>[7,8,1,5,4,2,3,6]=>[2,2,1,3]=>10101100=>5 [2,1,7,4,6,5,8,3]=>[7,8,2,5,3,4,1,6]=>[2,2,2,2]=>10101010=>7 [2,1,8,4,6,7,5,3]=>[7,8,1,5,3,2,4,6]=>[2,2,1,3]=>10101100=>5 [2,1,8,5,4,6,7,3]=>[7,8,1,4,5,3,2,6]=>[2,3,1,2]=>10100110=>5 [2,1,8,5,4,7,6,3]=>[7,8,1,4,5,2,3,6]=>[2,3,3]=>10100100=>5 [2,1,7,5,6,4,3,8]=>[7,8,2,4,3,5,6,1]=>[2,2,3,1]=>10101001=>6 [2,1,7,5,6,4,8,3]=>[7,8,2,4,3,5,1,6]=>[2,2,2,2]=>10101010=>7 [2,1,8,5,6,4,7,3]=>[7,8,1,4,3,5,2,6]=>[2,2,2,2]=>10101010=>7 [2,1,8,5,6,7,4,3]=>[7,8,1,4,3,2,5,6]=>[2,2,1,3]=>10101100=>5 [2,1,8,5,7,6,4,3]=>[7,8,1,4,2,3,5,6]=>[2,2,4]=>10101000=>5 [2,1,8,6,5,4,7,3]=>[7,8,1,3,4,5,2,6]=>[2,4,2]=>10100010=>5 [2,1,8,6,5,7,4,3]=>[7,8,1,3,4,2,5,6]=>[2,3,3]=>10100100=>5 [2,1,8,7,5,6,4,3]=>[7,8,1,2,4,3,5,6]=>[2,3,3]=>10100100=>5 [2,3,1,4,8,6,7,5]=>[7,6,8,5,1,3,2,4]=>[1,2,1,2,2]=>11011010=>5 [2,3,1,5,8,6,7,4]=>[7,6,8,4,1,3,2,5]=>[1,2,1,2,2]=>11011010=>5 [2,3,1,7,5,6,4,8]=>[7,6,8,2,4,3,5,1]=>[1,2,2,2,1]=>11010101=>6 [2,3,1,8,5,6,7,4]=>[7,6,8,1,4,3,2,5]=>[1,2,2,1,2]=>11010110=>5 [2,3,1,8,5,7,6,4]=>[7,6,8,1,4,2,3,5]=>[1,2,2,3]=>11010100=>5 [2,3,1,8,6,5,7,4]=>[7,6,8,1,3,4,2,5]=>[1,2,3,2]=>11010010=>5 [2,3,1,8,6,7,5,4]=>[7,6,8,1,3,2,4,5]=>[1,2,2,3]=>11010100=>5 [2,3,4,1,8,6,7,5]=>[7,6,5,8,1,3,2,4]=>[1,1,2,2,2]=>11101010=>5 [2,3,4,5,8,6,7,1]=>[7,6,5,4,1,3,2,8]=>[1,1,1,1,2,2]=>11111010=>3 [2,3,4,7,5,6,1,8]=>[7,6,5,2,4,3,8,1]=>[1,1,1,2,2,1]=>11110101=>4 [2,3,4,7,5,6,8,1]=>[7,6,5,2,4,3,1,8]=>[1,1,1,2,1,2]=>11110110=>3 [2,3,4,8,5,6,7,1]=>[7,6,5,1,4,3,2,8]=>[1,1,1,2,1,2]=>11110110=>3 [2,3,4,8,5,7,6,1]=>[7,6,5,1,4,2,3,8]=>[1,1,1,2,3]=>11110100=>3 [2,3,4,8,6,5,7,1]=>[7,6,5,1,3,4,2,8]=>[1,1,1,3,2]=>11110010=>3 [2,3,4,8,6,7,5,1]=>[7,6,5,1,3,2,4,8]=>[1,1,1,2,3]=>11110100=>3 [2,3,6,4,5,1,7,8]=>[7,6,3,5,4,8,2,1]=>[1,1,2,2,1,1]=>11101011=>4 [2,3,6,4,5,1,8,7]=>[7,6,3,5,4,8,1,2]=>[1,1,2,2,2]=>11101010=>5 [2,3,6,4,5,7,1,8]=>[7,6,3,5,4,2,8,1]=>[1,1,2,1,2,1]=>11101101=>4 [2,3,6,4,5,7,8,1]=>[7,6,3,5,4,2,1,8]=>[1,1,2,1,1,2]=>11101110=>3 [2,3,6,4,5,8,7,1]=>[7,6,3,5,4,1,2,8]=>[1,1,2,1,3]=>11101100=>3 [2,3,7,4,5,6,1,8]=>[7,6,2,5,4,3,8,1]=>[1,1,2,1,2,1]=>11101101=>4 [2,3,7,4,5,6,8,1]=>[7,6,2,5,4,3,1,8]=>[1,1,2,1,1,2]=>11101110=>3 [2,3,8,4,5,6,7,1]=>[7,6,1,5,4,3,2,8]=>[1,1,2,1,1,2]=>11101110=>3 [2,3,7,4,6,5,8,1]=>[7,6,2,5,3,4,1,8]=>[1,1,2,2,2]=>11101010=>5 [2,3,8,4,6,5,7,1]=>[7,6,1,5,3,4,2,8]=>[1,1,2,2,2]=>11101010=>5 [2,3,8,4,7,6,5,1]=>[7,6,1,5,2,3,4,8]=>[1,1,2,4]=>11101000=>3 [2,3,7,5,4,6,1,8]=>[7,6,2,4,5,3,8,1]=>[1,1,3,2,1]=>11100101=>4 [2,3,7,5,4,6,8,1]=>[7,6,2,4,5,3,1,8]=>[1,1,3,1,2]=>11100110=>3 [2,3,8,5,4,6,7,1]=>[7,6,1,4,5,3,2,8]=>[1,1,3,1,2]=>11100110=>3 [2,3,8,5,4,7,6,1]=>[7,6,1,4,5,2,3,8]=>[1,1,3,3]=>11100100=>3 [2,3,7,5,6,4,1,8]=>[7,6,2,4,3,5,8,1]=>[1,1,2,3,1]=>11101001=>4 [2,3,7,5,6,4,8,1]=>[7,6,2,4,3,5,1,8]=>[1,1,2,2,2]=>11101010=>5 [2,3,8,5,6,4,7,1]=>[7,6,1,4,3,5,2,8]=>[1,1,2,2,2]=>11101010=>5 [2,3,8,5,6,7,4,1]=>[7,6,1,4,3,2,5,8]=>[1,1,2,1,3]=>11101100=>3 [2,3,8,5,7,6,4,1]=>[7,6,1,4,2,3,5,8]=>[1,1,2,4]=>11101000=>3 [2,3,8,6,5,7,4,1]=>[7,6,1,3,4,2,5,8]=>[1,1,3,3]=>11100100=>3 [2,3,8,7,5,6,4,1]=>[7,6,1,2,4,3,5,8]=>[1,1,3,3]=>11100100=>3 [2,4,3,1,8,6,7,5]=>[7,5,6,8,1,3,2,4]=>[1,3,2,2]=>11001010=>5 [2,4,3,5,8,6,7,1]=>[7,5,6,4,1,3,2,8]=>[1,2,1,2,2]=>11011010=>5 [2,4,3,7,5,6,1,8]=>[7,5,6,2,4,3,8,1]=>[1,2,2,2,1]=>11010101=>6 [2,4,3,7,5,6,8,1]=>[7,5,6,2,4,3,1,8]=>[1,2,2,1,2]=>11010110=>5 [2,4,3,8,5,6,7,1]=>[7,5,6,1,4,3,2,8]=>[1,2,2,1,2]=>11010110=>5 [2,4,3,8,5,7,6,1]=>[7,5,6,1,4,2,3,8]=>[1,2,2,3]=>11010100=>5 [2,4,3,8,6,5,7,1]=>[7,5,6,1,3,4,2,8]=>[1,2,3,2]=>11010010=>5 [2,4,3,8,6,7,5,1]=>[7,5,6,1,3,2,4,8]=>[1,2,2,3]=>11010100=>5 [2,5,3,4,1,6,7,8]=>[7,4,6,5,8,3,2,1]=>[1,2,2,1,1,1]=>11010111=>4 [2,5,3,4,1,6,8,7]=>[7,4,6,5,8,3,1,2]=>[1,2,2,1,2]=>11010110=>5 [2,5,3,4,1,7,6,8]=>[7,4,6,5,8,2,3,1]=>[1,2,2,2,1]=>11010101=>6 [2,5,3,4,1,7,8,6]=>[7,4,6,5,8,2,1,3]=>[1,2,2,1,2]=>11010110=>5 [2,5,3,4,1,8,7,6]=>[7,4,6,5,8,1,2,3]=>[1,2,2,3]=>11010100=>5 [2,5,3,4,6,1,7,8]=>[7,4,6,5,3,8,2,1]=>[1,2,1,2,1,1]=>11011011=>4 [2,5,3,4,6,7,1,8]=>[7,4,6,5,3,2,8,1]=>[1,2,1,1,2,1]=>11011101=>4 [2,5,3,4,6,7,8,1]=>[7,4,6,5,3,2,1,8]=>[1,2,1,1,1,2]=>11011110=>3 [2,5,3,4,7,6,8,1]=>[7,4,6,5,2,3,1,8]=>[1,2,1,2,2]=>11011010=>5 [2,5,3,4,8,6,7,1]=>[7,4,6,5,1,3,2,8]=>[1,2,1,2,2]=>11011010=>5 [2,5,3,4,8,7,6,1]=>[7,4,6,5,1,2,3,8]=>[1,2,1,4]=>11011000=>3 [2,6,3,4,5,1,7,8]=>[7,3,6,5,4,8,2,1]=>[1,2,1,2,1,1]=>11011011=>4 [2,6,3,4,5,7,1,8]=>[7,3,6,5,4,2,8,1]=>[1,2,1,1,2,1]=>11011101=>4 [2,6,3,4,5,7,8,1]=>[7,3,6,5,4,2,1,8]=>[1,2,1,1,1,2]=>11011110=>3 [2,6,3,4,5,8,7,1]=>[7,3,6,5,4,1,2,8]=>[1,2,1,1,3]=>11011100=>3 [2,7,3,4,5,6,1,8]=>[7,2,6,5,4,3,8,1]=>[1,2,1,1,2,1]=>11011101=>4 [2,7,3,4,5,6,8,1]=>[7,2,6,5,4,3,1,8]=>[1,2,1,1,1,2]=>11011110=>3 [2,8,3,4,5,6,7,1]=>[7,1,6,5,4,3,2,8]=>[1,2,1,1,1,2]=>11011110=>3 [2,8,3,4,5,7,6,1]=>[7,1,6,5,4,2,3,8]=>[1,2,1,1,3]=>11011100=>3 [2,7,3,4,6,5,1,8]=>[7,2,6,5,3,4,8,1]=>[1,2,1,3,1]=>11011001=>4 [2,7,3,4,6,5,8,1]=>[7,2,6,5,3,4,1,8]=>[1,2,1,2,2]=>11011010=>5 [2,8,3,4,7,6,5,1]=>[7,1,6,5,2,3,4,8]=>[1,2,1,4]=>11011000=>3 [2,6,3,5,4,1,7,8]=>[7,3,6,4,5,8,2,1]=>[1,2,3,1,1]=>11010011=>4 [2,6,3,5,4,1,8,7]=>[7,3,6,4,5,8,1,2]=>[1,2,3,2]=>11010010=>5 [2,6,3,5,4,7,1,8]=>[7,3,6,4,5,2,8,1]=>[1,2,2,2,1]=>11010101=>6 [2,6,3,5,4,7,8,1]=>[7,3,6,4,5,2,1,8]=>[1,2,2,1,2]=>11010110=>5 [2,6,3,5,4,8,7,1]=>[7,3,6,4,5,1,2,8]=>[1,2,2,3]=>11010100=>5 [2,7,3,5,4,6,8,1]=>[7,2,6,4,5,3,1,8]=>[1,2,2,1,2]=>11010110=>5 [2,8,3,5,4,7,6,1]=>[7,1,6,4,5,2,3,8]=>[1,2,2,3]=>11010100=>5 [2,7,3,5,6,4,1,8]=>[7,2,6,4,3,5,8,1]=>[1,2,1,3,1]=>11011001=>4 [2,7,3,5,6,4,8,1]=>[7,2,6,4,3,5,1,8]=>[1,2,1,2,2]=>11011010=>5 [2,8,3,5,6,7,4,1]=>[7,1,6,4,3,2,5,8]=>[1,2,1,1,3]=>11011100=>3 [2,8,3,5,7,6,4,1]=>[7,1,6,4,2,3,5,8]=>[1,2,1,4]=>11011000=>3 [2,7,3,6,5,4,1,8]=>[7,2,6,3,4,5,8,1]=>[1,2,4,1]=>11010001=>4 [2,7,3,6,5,4,8,1]=>[7,2,6,3,4,5,1,8]=>[1,2,3,2]=>11010010=>5 [2,8,3,6,5,4,7,1]=>[7,1,6,3,4,5,2,8]=>[1,2,3,2]=>11010010=>5 [2,8,3,7,6,5,4,1]=>[7,1,6,2,3,4,5,8]=>[1,2,5]=>11010000=>3 [2,5,4,3,8,6,7,1]=>[7,4,5,6,1,3,2,8]=>[1,3,2,2]=>11001010=>5 [2,6,4,3,5,1,8,7]=>[7,3,5,6,4,8,1,2]=>[1,3,2,2]=>11001010=>5 [2,6,4,3,5,7,1,8]=>[7,3,5,6,4,2,8,1]=>[1,3,1,2,1]=>11001101=>4 [2,6,4,3,5,7,8,1]=>[7,3,5,6,4,2,1,8]=>[1,3,1,1,2]=>11001110=>3 [2,6,4,3,5,8,7,1]=>[7,3,5,6,4,1,2,8]=>[1,3,1,3]=>11001100=>3 [2,7,4,3,5,6,8,1]=>[7,2,5,6,4,3,1,8]=>[1,3,1,1,2]=>11001110=>3 [2,8,4,3,5,6,7,1]=>[7,1,5,6,4,3,2,8]=>[1,3,1,1,2]=>11001110=>3 [2,8,4,3,5,7,6,1]=>[7,1,5,6,4,2,3,8]=>[1,3,1,3]=>11001100=>3 [2,7,4,3,6,5,1,8]=>[7,2,5,6,3,4,8,1]=>[1,3,3,1]=>11001001=>4 [2,7,4,3,6,5,8,1]=>[7,2,5,6,3,4,1,8]=>[1,3,2,2]=>11001010=>5 [2,8,4,3,6,5,7,1]=>[7,1,5,6,3,4,2,8]=>[1,3,2,2]=>11001010=>5 [2,8,4,3,6,7,5,1]=>[7,1,5,6,3,2,4,8]=>[1,3,1,3]=>11001100=>3 [2,8,4,3,7,6,5,1]=>[7,1,5,6,2,3,4,8]=>[1,3,4]=>11001000=>3 [2,6,4,5,3,1,7,8]=>[7,3,5,4,6,8,2,1]=>[1,2,3,1,1]=>11010011=>4 [2,6,4,5,3,1,8,7]=>[7,3,5,4,6,8,1,2]=>[1,2,3,2]=>11010010=>5 [2,6,4,5,3,7,1,8]=>[7,3,5,4,6,2,8,1]=>[1,2,2,2,1]=>11010101=>6 [2,6,4,5,3,7,8,1]=>[7,3,5,4,6,2,1,8]=>[1,2,2,1,2]=>11010110=>5 [2,6,4,5,3,8,7,1]=>[7,3,5,4,6,1,2,8]=>[1,2,2,3]=>11010100=>5 [2,7,4,5,3,6,1,8]=>[7,2,5,4,6,3,8,1]=>[1,2,2,2,1]=>11010101=>6 [2,7,4,5,3,6,8,1]=>[7,2,5,4,6,3,1,8]=>[1,2,2,1,2]=>11010110=>5 [2,8,4,5,3,6,7,1]=>[7,1,5,4,6,3,2,8]=>[1,2,2,1,2]=>11010110=>5 [2,8,4,5,3,7,6,1]=>[7,1,5,4,6,2,3,8]=>[1,2,2,3]=>11010100=>5 [2,7,4,5,6,3,1,8]=>[7,2,5,4,3,6,8,1]=>[1,2,1,3,1]=>11011001=>4 [2,7,4,5,6,3,8,1]=>[7,2,5,4,3,6,1,8]=>[1,2,1,2,2]=>11011010=>5 [2,8,4,5,6,3,7,1]=>[7,1,5,4,3,6,2,8]=>[1,2,1,2,2]=>11011010=>5 [2,8,4,5,7,6,3,1]=>[7,1,5,4,2,3,6,8]=>[1,2,1,4]=>11011000=>3 [2,7,4,6,5,3,8,1]=>[7,2,5,3,4,6,1,8]=>[1,2,3,2]=>11010010=>5 [2,8,4,7,5,6,3,1]=>[7,1,5,2,4,3,6,8]=>[1,2,2,3]=>11010100=>5 [2,8,4,7,6,5,3,1]=>[7,1,5,2,3,4,6,8]=>[1,2,5]=>11010000=>3 [2,7,5,4,3,6,1,8]=>[7,2,4,5,6,3,8,1]=>[1,4,2,1]=>11000101=>4 [2,7,5,4,3,6,8,1]=>[7,2,4,5,6,3,1,8]=>[1,4,1,2]=>11000110=>3 [2,8,5,4,3,7,6,1]=>[7,1,4,5,6,2,3,8]=>[1,4,3]=>11000100=>3 [2,7,5,4,6,3,1,8]=>[7,2,4,5,3,6,8,1]=>[1,3,3,1]=>11001001=>4 [2,7,5,4,6,3,8,1]=>[7,2,4,5,3,6,1,8]=>[1,3,2,2]=>11001010=>5 [2,8,5,4,6,3,7,1]=>[7,1,4,5,3,6,2,8]=>[1,3,2,2]=>11001010=>5 [2,8,5,4,7,6,3,1]=>[7,1,4,5,2,3,6,8]=>[1,3,4]=>11001000=>3 [2,7,6,4,5,3,8,1]=>[7,2,3,5,4,6,1,8]=>[1,3,2,2]=>11001010=>5 [2,8,6,4,5,3,7,1]=>[7,1,3,5,4,6,2,8]=>[1,3,2,2]=>11001010=>5 [2,8,6,4,5,7,3,1]=>[7,1,3,5,4,2,6,8]=>[1,3,1,3]=>11001100=>3 [2,8,7,4,6,5,3,1]=>[7,1,2,5,3,4,6,8]=>[1,3,4]=>11001000=>3 [2,8,6,5,4,3,7,1]=>[7,1,3,4,5,6,2,8]=>[1,5,2]=>11000010=>3 [2,8,6,5,4,7,3,1]=>[7,1,3,4,5,2,6,8]=>[1,4,3]=>11000100=>3 [2,8,7,5,4,6,3,1]=>[7,1,2,4,5,3,6,8]=>[1,4,3]=>11000100=>3 [2,8,7,5,6,4,3,1]=>[7,1,2,4,3,5,6,8]=>[1,3,4]=>11001000=>3 [3,2,1,4,8,6,7,5]=>[6,7,8,5,1,3,2,4]=>[3,1,2,2]=>10011010=>5 [3,2,1,5,8,6,7,4]=>[6,7,8,4,1,3,2,5]=>[3,1,2,2]=>10011010=>5 [3,2,1,7,5,6,4,8]=>[6,7,8,2,4,3,5,1]=>[3,2,2,1]=>10010101=>6 [3,2,1,7,5,6,8,4]=>[6,7,8,2,4,3,1,5]=>[3,2,1,2]=>10010110=>5 [3,2,1,8,5,6,7,4]=>[6,7,8,1,4,3,2,5]=>[3,2,1,2]=>10010110=>5 [3,2,1,8,5,7,6,4]=>[6,7,8,1,4,2,3,5]=>[3,2,3]=>10010100=>5 [3,2,1,8,6,5,7,4]=>[6,7,8,1,3,4,2,5]=>[3,3,2]=>10010010=>5 [3,2,1,8,6,7,5,4]=>[6,7,8,1,3,2,4,5]=>[3,2,3]=>10010100=>5 [3,2,4,1,8,6,7,5]=>[6,7,5,8,1,3,2,4]=>[2,2,2,2]=>10101010=>7 [3,2,4,7,5,6,8,1]=>[6,7,5,2,4,3,1,8]=>[2,1,2,1,2]=>10110110=>5 [3,2,4,8,5,6,7,1]=>[6,7,5,1,4,3,2,8]=>[2,1,2,1,2]=>10110110=>5 [3,2,4,8,6,7,5,1]=>[6,7,5,1,3,2,4,8]=>[2,1,2,3]=>10110100=>5 [3,2,5,4,8,6,7,1]=>[6,7,4,5,1,3,2,8]=>[2,2,2,2]=>10101010=>7 [3,2,6,4,5,1,7,8]=>[6,7,3,5,4,8,2,1]=>[2,2,2,1,1]=>10101011=>6 [3,2,6,4,5,1,8,7]=>[6,7,3,5,4,8,1,2]=>[2,2,2,2]=>10101010=>7 [3,2,6,4,5,7,1,8]=>[6,7,3,5,4,2,8,1]=>[2,2,1,2,1]=>10101101=>6 [3,2,6,4,5,7,8,1]=>[6,7,3,5,4,2,1,8]=>[2,2,1,1,2]=>10101110=>5 [3,2,6,4,5,8,7,1]=>[6,7,3,5,4,1,2,8]=>[2,2,1,3]=>10101100=>5 [3,2,7,4,5,6,1,8]=>[6,7,2,5,4,3,8,1]=>[2,2,1,2,1]=>10101101=>6 [3,2,8,4,5,6,7,1]=>[6,7,1,5,4,3,2,8]=>[2,2,1,1,2]=>10101110=>5 [3,2,7,4,6,5,1,8]=>[6,7,2,5,3,4,8,1]=>[2,2,3,1]=>10101001=>6 [3,2,7,4,6,5,8,1]=>[6,7,2,5,3,4,1,8]=>[2,2,2,2]=>10101010=>7 [3,2,8,4,6,5,7,1]=>[6,7,1,5,3,4,2,8]=>[2,2,2,2]=>10101010=>7 [3,2,8,4,7,6,5,1]=>[6,7,1,5,2,3,4,8]=>[2,2,4]=>10101000=>5 [3,2,7,5,4,6,1,8]=>[6,7,2,4,5,3,8,1]=>[2,3,2,1]=>10100101=>6 [3,2,7,5,4,6,8,1]=>[6,7,2,4,5,3,1,8]=>[2,3,1,2]=>10100110=>5 [3,2,8,5,4,6,7,1]=>[6,7,1,4,5,3,2,8]=>[2,3,1,2]=>10100110=>5 [3,2,7,5,6,4,1,8]=>[6,7,2,4,3,5,8,1]=>[2,2,3,1]=>10101001=>6 [3,2,7,5,6,4,8,1]=>[6,7,2,4,3,5,1,8]=>[2,2,2,2]=>10101010=>7 [3,2,8,5,6,4,7,1]=>[6,7,1,4,3,5,2,8]=>[2,2,2,2]=>10101010=>7 [3,2,8,5,6,7,4,1]=>[6,7,1,4,3,2,5,8]=>[2,2,1,3]=>10101100=>5 [3,2,8,5,7,6,4,1]=>[6,7,1,4,2,3,5,8]=>[2,2,4]=>10101000=>5 [3,2,8,6,5,7,4,1]=>[6,7,1,3,4,2,5,8]=>[2,3,3]=>10100100=>5 [3,2,8,7,5,6,4,1]=>[6,7,1,2,4,3,5,8]=>[2,3,3]=>10100100=>5 [4,2,3,1,5,6,8,7]=>[5,7,6,8,4,3,1,2]=>[2,2,1,1,2]=>10101110=>5 [4,2,3,1,5,7,6,8]=>[5,7,6,8,4,2,3,1]=>[2,2,1,2,1]=>10101101=>6 [4,2,3,1,5,7,8,6]=>[5,7,6,8,4,2,1,3]=>[2,2,1,1,2]=>10101110=>5 [4,2,3,1,5,8,7,6]=>[5,7,6,8,4,1,2,3]=>[2,2,1,3]=>10101100=>5 [4,2,3,1,6,5,7,8]=>[5,7,6,8,3,4,2,1]=>[2,2,2,1,1]=>10101011=>6 [4,2,3,1,6,5,8,7]=>[5,7,6,8,3,4,1,2]=>[2,2,2,2]=>10101010=>7 [4,2,3,1,6,7,5,8]=>[5,7,6,8,3,2,4,1]=>[2,2,1,2,1]=>10101101=>6 [4,2,3,1,6,7,8,5]=>[5,7,6,8,3,2,1,4]=>[2,2,1,1,2]=>10101110=>5 [4,2,3,1,6,8,7,5]=>[5,7,6,8,3,1,2,4]=>[2,2,1,3]=>10101100=>5 [4,2,3,1,7,6,5,8]=>[5,7,6,8,2,3,4,1]=>[2,2,3,1]=>10101001=>6 [4,2,3,1,7,6,8,5]=>[5,7,6,8,2,3,1,4]=>[2,2,2,2]=>10101010=>7 [4,2,3,1,8,6,7,5]=>[5,7,6,8,1,3,2,4]=>[2,2,2,2]=>10101010=>7 [4,2,3,1,8,7,6,5]=>[5,7,6,8,1,2,3,4]=>[2,2,4]=>10101000=>5 [4,2,3,5,1,6,8,7]=>[5,7,6,4,8,3,1,2]=>[2,1,2,1,2]=>10110110=>5 [4,2,3,5,1,7,6,8]=>[5,7,6,4,8,2,3,1]=>[2,1,2,2,1]=>10110101=>6 [4,2,3,5,1,7,8,6]=>[5,7,6,4,8,2,1,3]=>[2,1,2,1,2]=>10110110=>5 [4,2,3,5,1,8,7,6]=>[5,7,6,4,8,1,2,3]=>[2,1,2,3]=>10110100=>5 [4,2,3,5,6,1,8,7]=>[5,7,6,4,3,8,1,2]=>[2,1,1,2,2]=>10111010=>5 [4,2,3,5,6,8,7,1]=>[5,7,6,4,3,1,2,8]=>[2,1,1,1,3]=>10111100=>3 [4,2,3,5,7,6,8,1]=>[5,7,6,4,2,3,1,8]=>[2,1,1,2,2]=>10111010=>5 [4,2,3,5,8,7,6,1]=>[5,7,6,4,1,2,3,8]=>[2,1,1,4]=>10111000=>3 [4,2,3,6,5,1,8,7]=>[5,7,6,3,4,8,1,2]=>[2,1,3,2]=>10110010=>5 [4,2,3,6,5,7,1,8]=>[5,7,6,3,4,2,8,1]=>[2,1,2,2,1]=>10110101=>6 [4,2,3,6,5,8,7,1]=>[5,7,6,3,4,1,2,8]=>[2,1,2,3]=>10110100=>5 [4,2,3,7,5,6,8,1]=>[5,7,6,2,4,3,1,8]=>[2,1,2,1,2]=>10110110=>5 [4,2,3,8,5,6,7,1]=>[5,7,6,1,4,3,2,8]=>[2,1,2,1,2]=>10110110=>5 [4,2,3,8,5,7,6,1]=>[5,7,6,1,4,2,3,8]=>[2,1,2,3]=>10110100=>5 [4,2,3,7,6,5,8,1]=>[5,7,6,2,3,4,1,8]=>[2,1,3,2]=>10110010=>5 [4,2,3,8,6,7,5,1]=>[5,7,6,1,3,2,4,8]=>[2,1,2,3]=>10110100=>5 [4,2,3,8,7,6,5,1]=>[5,7,6,1,2,3,4,8]=>[2,1,5]=>10110000=>3 [5,2,3,4,1,7,6,8]=>[4,7,6,5,8,2,3,1]=>[2,1,2,2,1]=>10110101=>6 [5,2,3,4,1,7,8,6]=>[4,7,6,5,8,2,1,3]=>[2,1,2,1,2]=>10110110=>5 [5,2,3,4,1,8,7,6]=>[4,7,6,5,8,1,2,3]=>[2,1,2,3]=>10110100=>5 [5,2,3,4,6,1,8,7]=>[4,7,6,5,3,8,1,2]=>[2,1,1,2,2]=>10111010=>5 [5,2,3,4,6,8,7,1]=>[4,7,6,5,3,1,2,8]=>[2,1,1,1,3]=>10111100=>3 [5,2,3,4,7,6,1,8]=>[4,7,6,5,2,3,8,1]=>[2,1,1,3,1]=>10111001=>4 [5,2,3,4,7,6,8,1]=>[4,7,6,5,2,3,1,8]=>[2,1,1,2,2]=>10111010=>5 [5,2,3,4,8,6,7,1]=>[4,7,6,5,1,3,2,8]=>[2,1,1,2,2]=>10111010=>5 [5,2,3,4,8,7,6,1]=>[4,7,6,5,1,2,3,8]=>[2,1,1,4]=>10111000=>3 [6,2,3,4,5,1,8,7]=>[3,7,6,5,4,8,1,2]=>[2,1,1,2,2]=>10111010=>5 [6,2,3,4,5,8,7,1]=>[3,7,6,5,4,1,2,8]=>[2,1,1,1,3]=>10111100=>3 [8,2,3,4,5,7,6,1]=>[1,7,6,5,4,2,3,8]=>[2,1,1,1,3]=>10111100=>3 [7,2,3,4,6,5,1,8]=>[2,7,6,5,3,4,8,1]=>[2,1,1,3,1]=>10111001=>4 [7,2,3,4,6,5,8,1]=>[2,7,6,5,3,4,1,8]=>[2,1,1,2,2]=>10111010=>5 [8,2,3,4,6,5,7,1]=>[1,7,6,5,3,4,2,8]=>[2,1,1,2,2]=>10111010=>5 [8,2,3,4,6,7,5,1]=>[1,7,6,5,3,2,4,8]=>[2,1,1,1,3]=>10111100=>3 [8,2,3,4,7,6,5,1]=>[1,7,6,5,2,3,4,8]=>[2,1,1,4]=>10111000=>3 [6,2,3,5,4,1,7,8]=>[3,7,6,4,5,8,2,1]=>[2,1,3,1,1]=>10110011=>4 [6,2,3,5,4,1,8,7]=>[3,7,6,4,5,8,1,2]=>[2,1,3,2]=>10110010=>5 [6,2,3,5,4,7,1,8]=>[3,7,6,4,5,2,8,1]=>[2,1,2,2,1]=>10110101=>6 [6,2,3,5,4,8,7,1]=>[3,7,6,4,5,1,2,8]=>[2,1,2,3]=>10110100=>5 [7,2,3,5,4,6,1,8]=>[2,7,6,4,5,3,8,1]=>[2,1,2,2,1]=>10110101=>6 [8,2,3,5,4,6,7,1]=>[1,7,6,4,5,3,2,8]=>[2,1,2,1,2]=>10110110=>5 [8,2,3,5,4,7,6,1]=>[1,7,6,4,5,2,3,8]=>[2,1,2,3]=>10110100=>5 [7,2,3,5,6,4,1,8]=>[2,7,6,4,3,5,8,1]=>[2,1,1,3,1]=>10111001=>4 [8,2,3,5,6,7,4,1]=>[1,7,6,4,3,2,5,8]=>[2,1,1,1,3]=>10111100=>3 [8,2,3,5,7,6,4,1]=>[1,7,6,4,2,3,5,8]=>[2,1,1,4]=>10111000=>3 [7,2,3,6,5,4,1,8]=>[2,7,6,3,4,5,8,1]=>[2,1,4,1]=>10110001=>4 [7,2,3,6,5,4,8,1]=>[2,7,6,3,4,5,1,8]=>[2,1,3,2]=>10110010=>5 [8,2,3,6,5,4,7,1]=>[1,7,6,3,4,5,2,8]=>[2,1,3,2]=>10110010=>5 [8,2,3,6,5,7,4,1]=>[1,7,6,3,4,2,5,8]=>[2,1,2,3]=>10110100=>5 [8,2,3,7,5,6,4,1]=>[1,7,6,2,4,3,5,8]=>[2,1,2,3]=>10110100=>5 [8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[2,1,5]=>10110000=>3 [5,2,4,3,1,6,7,8]=>[4,7,5,6,8,3,2,1]=>[2,3,1,1,1]=>10100111=>4 [5,2,4,3,1,6,8,7]=>[4,7,5,6,8,3,1,2]=>[2,3,1,2]=>10100110=>5 [5,2,4,3,1,7,6,8]=>[4,7,5,6,8,2,3,1]=>[2,3,2,1]=>10100101=>6 [5,2,4,3,1,8,7,6]=>[4,7,5,6,8,1,2,3]=>[2,3,3]=>10100100=>5 [5,2,4,3,6,1,7,8]=>[4,7,5,6,3,8,2,1]=>[2,2,2,1,1]=>10101011=>6 [5,2,4,3,6,1,8,7]=>[4,7,5,6,3,8,1,2]=>[2,2,2,2]=>10101010=>7 [5,2,4,3,6,7,1,8]=>[4,7,5,6,3,2,8,1]=>[2,2,1,2,1]=>10101101=>6 [5,2,4,3,6,7,8,1]=>[4,7,5,6,3,2,1,8]=>[2,2,1,1,2]=>10101110=>5 [5,2,4,3,6,8,7,1]=>[4,7,5,6,3,1,2,8]=>[2,2,1,3]=>10101100=>5 [5,2,4,3,7,6,1,8]=>[4,7,5,6,2,3,8,1]=>[2,2,3,1]=>10101001=>6 [5,2,4,3,7,6,8,1]=>[4,7,5,6,2,3,1,8]=>[2,2,2,2]=>10101010=>7 [6,2,4,3,5,1,7,8]=>[3,7,5,6,4,8,2,1]=>[2,2,2,1,1]=>10101011=>6 [6,2,4,3,5,1,8,7]=>[3,7,5,6,4,8,1,2]=>[2,2,2,2]=>10101010=>7 [6,2,4,3,5,7,1,8]=>[3,7,5,6,4,2,8,1]=>[2,2,1,2,1]=>10101101=>6 [6,2,4,3,5,7,8,1]=>[3,7,5,6,4,2,1,8]=>[2,2,1,1,2]=>10101110=>5 [6,2,4,3,5,8,7,1]=>[3,7,5,6,4,1,2,8]=>[2,2,1,3]=>10101100=>5 [7,2,4,3,5,6,1,8]=>[2,7,5,6,4,3,8,1]=>[2,2,1,2,1]=>10101101=>6 [8,2,4,3,5,6,7,1]=>[1,7,5,6,4,3,2,8]=>[2,2,1,1,2]=>10101110=>5 [8,2,4,3,5,7,6,1]=>[1,7,5,6,4,2,3,8]=>[2,2,1,3]=>10101100=>5 [7,2,4,3,6,5,1,8]=>[2,7,5,6,3,4,8,1]=>[2,2,3,1]=>10101001=>6 [7,2,4,3,6,5,8,1]=>[2,7,5,6,3,4,1,8]=>[2,2,2,2]=>10101010=>7 [8,2,4,3,6,5,7,1]=>[1,7,5,6,3,4,2,8]=>[2,2,2,2]=>10101010=>7 [8,2,4,3,6,7,5,1]=>[1,7,5,6,3,2,4,8]=>[2,2,1,3]=>10101100=>5 [8,2,4,3,7,6,5,1]=>[1,7,5,6,2,3,4,8]=>[2,2,4]=>10101000=>5 [6,2,4,5,3,1,7,8]=>[3,7,5,4,6,8,2,1]=>[2,1,3,1,1]=>10110011=>4 [6,2,4,5,3,1,8,7]=>[3,7,5,4,6,8,1,2]=>[2,1,3,2]=>10110010=>5 [6,2,4,5,3,7,1,8]=>[3,7,5,4,6,2,8,1]=>[2,1,2,2,1]=>10110101=>6 [6,2,4,5,3,7,8,1]=>[3,7,5,4,6,2,1,8]=>[2,1,2,1,2]=>10110110=>5 [6,2,4,5,3,8,7,1]=>[3,7,5,4,6,1,2,8]=>[2,1,2,3]=>10110100=>5 [7,2,4,5,3,6,1,8]=>[2,7,5,4,6,3,8,1]=>[2,1,2,2,1]=>10110101=>6 [8,2,4,5,3,7,6,1]=>[1,7,5,4,6,2,3,8]=>[2,1,2,3]=>10110100=>5 [7,2,4,5,6,3,1,8]=>[2,7,5,4,3,6,8,1]=>[2,1,1,3,1]=>10111001=>4 [7,2,4,5,6,3,8,1]=>[2,7,5,4,3,6,1,8]=>[2,1,1,2,2]=>10111010=>5 [8,2,4,5,6,3,7,1]=>[1,7,5,4,3,6,2,8]=>[2,1,1,2,2]=>10111010=>5 [8,2,4,5,6,7,3,1]=>[1,7,5,4,3,2,6,8]=>[2,1,1,1,3]=>10111100=>3 [7,2,4,6,5,3,1,8]=>[2,7,5,3,4,6,8,1]=>[2,1,4,1]=>10110001=>4 [7,2,4,6,5,3,8,1]=>[2,7,5,3,4,6,1,8]=>[2,1,3,2]=>10110010=>5 [8,2,4,7,5,6,3,1]=>[1,7,5,2,4,3,6,8]=>[2,1,2,3]=>10110100=>5 [8,2,4,7,6,5,3,1]=>[1,7,5,2,3,4,6,8]=>[2,1,5]=>10110000=>3 [6,2,5,4,3,1,7,8]=>[3,7,4,5,6,8,2,1]=>[2,4,1,1]=>10100011=>4 [6,2,5,4,3,1,8,7]=>[3,7,4,5,6,8,1,2]=>[2,4,2]=>10100010=>5 [6,2,5,4,3,7,1,8]=>[3,7,4,5,6,2,8,1]=>[2,3,2,1]=>10100101=>6 [6,2,5,4,3,7,8,1]=>[3,7,4,5,6,2,1,8]=>[2,3,1,2]=>10100110=>5 [6,2,5,4,3,8,7,1]=>[3,7,4,5,6,1,2,8]=>[2,3,3]=>10100100=>5 [7,2,5,4,3,6,1,8]=>[2,7,4,5,6,3,8,1]=>[2,3,2,1]=>10100101=>6 [7,2,5,4,3,6,8,1]=>[2,7,4,5,6,3,1,8]=>[2,3,1,2]=>10100110=>5 [8,2,5,4,3,6,7,1]=>[1,7,4,5,6,3,2,8]=>[2,3,1,2]=>10100110=>5 [8,2,5,4,3,7,6,1]=>[1,7,4,5,6,2,3,8]=>[2,3,3]=>10100100=>5 [7,2,5,4,6,3,8,1]=>[2,7,4,5,3,6,1,8]=>[2,2,2,2]=>10101010=>7 [8,2,5,4,6,7,3,1]=>[1,7,4,5,3,2,6,8]=>[2,2,1,3]=>10101100=>5 [8,2,5,4,7,6,3,1]=>[1,7,4,5,2,3,6,8]=>[2,2,4]=>10101000=>5 [7,2,6,4,5,3,1,8]=>[2,7,3,5,4,6,8,1]=>[2,2,3,1]=>10101001=>6 [7,2,6,4,5,3,8,1]=>[2,7,3,5,4,6,1,8]=>[2,2,2,2]=>10101010=>7 [8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[2,2,2,2]=>10101010=>7 [8,2,6,4,5,7,3,1]=>[1,7,3,5,4,2,6,8]=>[2,2,1,3]=>10101100=>5 [8,2,7,4,5,6,3,1]=>[1,7,2,5,4,3,6,8]=>[2,2,1,3]=>10101100=>5 [8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[2,2,4]=>10101000=>5 [7,2,6,5,4,3,1,8]=>[2,7,3,4,5,6,8,1]=>[2,5,1]=>10100001=>4 [7,2,6,5,4,3,8,1]=>[2,7,3,4,5,6,1,8]=>[2,4,2]=>10100010=>5 [8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[2,4,2]=>10100010=>5 [8,2,6,5,4,7,3,1]=>[1,7,3,4,5,2,6,8]=>[2,3,3]=>10100100=>5 [8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[2,3,3]=>10100100=>5 [8,2,7,5,6,4,3,1]=>[1,7,2,4,3,5,6,8]=>[2,2,4]=>10101000=>5 [8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[2,6]=>10100000=>3 [4,3,2,1,8,6,7,5]=>[5,6,7,8,1,3,2,4]=>[4,2,2]=>10001010=>5 [4,3,2,5,8,6,7,1]=>[5,6,7,4,1,3,2,8]=>[3,1,2,2]=>10011010=>5 [4,3,2,7,5,6,1,8]=>[5,6,7,2,4,3,8,1]=>[3,2,2,1]=>10010101=>6 [4,3,2,7,5,6,8,1]=>[5,6,7,2,4,3,1,8]=>[3,2,1,2]=>10010110=>5 [4,3,2,8,5,6,7,1]=>[5,6,7,1,4,3,2,8]=>[3,2,1,2]=>10010110=>5 [4,3,2,8,5,7,6,1]=>[5,6,7,1,4,2,3,8]=>[3,2,3]=>10010100=>5 [4,3,2,8,6,7,5,1]=>[5,6,7,1,3,2,4,8]=>[3,2,3]=>10010100=>5 [5,3,2,4,1,6,8,7]=>[4,6,7,5,8,3,1,2]=>[3,2,1,2]=>10010110=>5 [5,3,2,4,1,7,6,8]=>[4,6,7,5,8,2,3,1]=>[3,2,2,1]=>10010101=>6 [5,3,2,4,1,7,8,6]=>[4,6,7,5,8,2,1,3]=>[3,2,1,2]=>10010110=>5 [5,3,2,4,1,8,7,6]=>[4,6,7,5,8,1,2,3]=>[3,2,3]=>10010100=>5 [5,3,2,4,6,1,8,7]=>[4,6,7,5,3,8,1,2]=>[3,1,2,2]=>10011010=>5 [5,3,2,4,7,6,1,8]=>[4,6,7,5,2,3,8,1]=>[3,1,3,1]=>10011001=>4 [5,3,2,4,7,6,8,1]=>[4,6,7,5,2,3,1,8]=>[3,1,2,2]=>10011010=>5 [5,3,2,4,8,6,7,1]=>[4,6,7,5,1,3,2,8]=>[3,1,2,2]=>10011010=>5 [5,3,2,4,8,7,6,1]=>[4,6,7,5,1,2,3,8]=>[3,1,4]=>10011000=>3 [6,3,2,4,5,1,8,7]=>[3,6,7,5,4,8,1,2]=>[3,1,2,2]=>10011010=>5 [8,3,2,4,5,7,6,1]=>[1,6,7,5,4,2,3,8]=>[3,1,1,3]=>10011100=>3 [7,3,2,4,6,5,1,8]=>[2,6,7,5,3,4,8,1]=>[3,1,3,1]=>10011001=>4 [7,3,2,4,6,5,8,1]=>[2,6,7,5,3,4,1,8]=>[3,1,2,2]=>10011010=>5 [8,3,2,4,6,7,5,1]=>[1,6,7,5,3,2,4,8]=>[3,1,1,3]=>10011100=>3 [8,3,2,4,7,6,5,1]=>[1,6,7,5,2,3,4,8]=>[3,1,4]=>10011000=>3 [6,3,2,5,4,1,7,8]=>[3,6,7,4,5,8,2,1]=>[3,3,1,1]=>10010011=>4 [6,3,2,5,4,1,8,7]=>[3,6,7,4,5,8,1,2]=>[3,3,2]=>10010010=>5 [6,3,2,5,4,7,1,8]=>[3,6,7,4,5,2,8,1]=>[3,2,2,1]=>10010101=>6 [6,3,2,5,4,7,8,1]=>[3,6,7,4,5,2,1,8]=>[3,2,1,2]=>10010110=>5 [7,3,2,5,4,6,1,8]=>[2,6,7,4,5,3,8,1]=>[3,2,2,1]=>10010101=>6 [7,3,2,5,4,6,8,1]=>[2,6,7,4,5,3,1,8]=>[3,2,1,2]=>10010110=>5 [8,3,2,5,4,6,7,1]=>[1,6,7,4,5,3,2,8]=>[3,2,1,2]=>10010110=>5 [8,3,2,5,4,7,6,1]=>[1,6,7,4,5,2,3,8]=>[3,2,3]=>10010100=>5 [8,3,2,5,6,4,7,1]=>[1,6,7,4,3,5,2,8]=>[3,1,2,2]=>10011010=>5 [8,3,2,5,6,7,4,1]=>[1,6,7,4,3,2,5,8]=>[3,1,1,3]=>10011100=>3 [8,3,2,5,7,6,4,1]=>[1,6,7,4,2,3,5,8]=>[3,1,4]=>10011000=>3 [7,3,2,6,5,4,1,8]=>[2,6,7,3,4,5,8,1]=>[3,4,1]=>10010001=>4 [7,3,2,6,5,4,8,1]=>[2,6,7,3,4,5,1,8]=>[3,3,2]=>10010010=>5 [8,3,2,6,5,7,4,1]=>[1,6,7,3,4,2,5,8]=>[3,2,3]=>10010100=>5 [8,3,2,7,5,6,4,1]=>[1,6,7,2,4,3,5,8]=>[3,2,3]=>10010100=>5 [8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[3,5]=>10010000=>3 [5,3,4,2,1,6,8,7]=>[4,6,5,7,8,3,1,2]=>[2,3,1,2]=>10100110=>5 [5,3,4,2,1,7,6,8]=>[4,6,5,7,8,2,3,1]=>[2,3,2,1]=>10100101=>6 [5,3,4,2,1,7,8,6]=>[4,6,5,7,8,2,1,3]=>[2,3,1,2]=>10100110=>5 [5,3,4,2,1,8,7,6]=>[4,6,5,7,8,1,2,3]=>[2,3,3]=>10100100=>5 [5,3,4,2,6,1,8,7]=>[4,6,5,7,3,8,1,2]=>[2,2,2,2]=>10101010=>7 [5,3,4,2,7,6,1,8]=>[4,6,5,7,2,3,8,1]=>[2,2,3,1]=>10101001=>6 [5,3,4,2,7,6,8,1]=>[4,6,5,7,2,3,1,8]=>[2,2,2,2]=>10101010=>7 [5,3,4,2,8,6,7,1]=>[4,6,5,7,1,3,2,8]=>[2,2,2,2]=>10101010=>7 [5,3,4,2,8,7,6,1]=>[4,6,5,7,1,2,3,8]=>[2,2,4]=>10101000=>5 [6,3,4,2,5,1,8,7]=>[3,6,5,7,4,8,1,2]=>[2,2,2,2]=>10101010=>7 [8,3,4,2,5,7,6,1]=>[1,6,5,7,4,2,3,8]=>[2,2,1,3]=>10101100=>5 [7,3,4,2,6,5,1,8]=>[2,6,5,7,3,4,8,1]=>[2,2,3,1]=>10101001=>6 [7,3,4,2,6,5,8,1]=>[2,6,5,7,3,4,1,8]=>[2,2,2,2]=>10101010=>7 [8,3,4,2,6,5,7,1]=>[1,6,5,7,3,4,2,8]=>[2,2,2,2]=>10101010=>7 [8,3,4,2,6,7,5,1]=>[1,6,5,7,3,2,4,8]=>[2,2,1,3]=>10101100=>5 [8,3,4,2,7,6,5,1]=>[1,6,5,7,2,3,4,8]=>[2,2,4]=>10101000=>5 [6,3,4,5,2,1,8,7]=>[3,6,5,4,7,8,1,2]=>[2,1,3,2]=>10110010=>5 [6,3,4,5,2,8,7,1]=>[3,6,5,4,7,1,2,8]=>[2,1,2,3]=>10110100=>5 [8,3,4,5,2,7,6,1]=>[1,6,5,4,7,2,3,8]=>[2,1,2,3]=>10110100=>5 [8,3,4,5,7,6,2,1]=>[1,6,5,4,2,3,7,8]=>[2,1,1,4]=>10111000=>3 [7,3,4,6,5,2,1,8]=>[2,6,5,3,4,7,8,1]=>[2,1,4,1]=>10110001=>4 [7,3,4,6,5,2,8,1]=>[2,6,5,3,4,7,1,8]=>[2,1,3,2]=>10110010=>5 [8,3,4,6,5,2,7,1]=>[1,6,5,3,4,7,2,8]=>[2,1,3,2]=>10110010=>5 [8,3,4,6,5,7,2,1]=>[1,6,5,3,4,2,7,8]=>[2,1,2,3]=>10110100=>5 [8,3,4,7,5,6,2,1]=>[1,6,5,2,4,3,7,8]=>[2,1,2,3]=>10110100=>5 [8,3,4,7,6,5,2,1]=>[1,6,5,2,3,4,7,8]=>[2,1,5]=>10110000=>3 [6,3,5,4,2,7,1,8]=>[3,6,4,5,7,2,8,1]=>[2,3,2,1]=>10100101=>6 [6,3,5,4,2,7,8,1]=>[3,6,4,5,7,2,1,8]=>[2,3,1,2]=>10100110=>5 [7,3,5,4,2,6,1,8]=>[2,6,4,5,7,3,8,1]=>[2,3,2,1]=>10100101=>6 [7,3,5,4,2,6,8,1]=>[2,6,4,5,7,3,1,8]=>[2,3,1,2]=>10100110=>5 [8,3,5,4,2,6,7,1]=>[1,6,4,5,7,3,2,8]=>[2,3,1,2]=>10100110=>5 [8,3,5,4,2,7,6,1]=>[1,6,4,5,7,2,3,8]=>[2,3,3]=>10100100=>5 [7,3,5,4,6,2,1,8]=>[2,6,4,5,3,7,8,1]=>[2,2,3,1]=>10101001=>6 [8,3,5,4,6,7,2,1]=>[1,6,4,5,3,2,7,8]=>[2,2,1,3]=>10101100=>5 [8,3,5,4,7,6,2,1]=>[1,6,4,5,2,3,7,8]=>[2,2,4]=>10101000=>5 [7,3,6,4,5,2,1,8]=>[2,6,3,5,4,7,8,1]=>[2,2,3,1]=>10101001=>6 [8,3,6,4,5,2,7,1]=>[1,6,3,5,4,7,2,8]=>[2,2,2,2]=>10101010=>7 [8,3,6,4,5,7,2,1]=>[1,6,3,5,4,2,7,8]=>[2,2,1,3]=>10101100=>5 [8,3,7,4,5,6,2,1]=>[1,6,2,5,4,3,7,8]=>[2,2,1,3]=>10101100=>5 [8,3,7,4,6,5,2,1]=>[1,6,2,5,3,4,7,8]=>[2,2,4]=>10101000=>5 [7,3,6,5,4,2,1,8]=>[2,6,3,4,5,7,8,1]=>[2,5,1]=>10100001=>4 [8,3,6,5,4,2,7,1]=>[1,6,3,4,5,7,2,8]=>[2,4,2]=>10100010=>5 [8,3,6,5,4,7,2,1]=>[1,6,3,4,5,2,7,8]=>[2,3,3]=>10100100=>5 [8,3,7,5,4,6,2,1]=>[1,6,2,4,5,3,7,8]=>[2,3,3]=>10100100=>5 [8,3,7,5,6,4,2,1]=>[1,6,2,4,3,5,7,8]=>[2,2,4]=>10101000=>5 [8,3,7,6,5,4,2,1]=>[1,6,2,3,4,5,7,8]=>[2,6]=>10100000=>3 [5,4,3,2,8,6,7,1]=>[4,5,6,7,1,3,2,8]=>[4,2,2]=>10001010=>5 [6,4,3,2,5,1,8,7]=>[3,5,6,7,4,8,1,2]=>[4,2,2]=>10001010=>5 [6,4,3,2,5,8,7,1]=>[3,5,6,7,4,1,2,8]=>[4,1,3]=>10001100=>3 [8,4,3,2,5,7,6,1]=>[1,5,6,7,4,2,3,8]=>[4,1,3]=>10001100=>3 [7,4,3,2,6,5,8,1]=>[2,5,6,7,3,4,1,8]=>[4,2,2]=>10001010=>5 [8,4,3,2,6,5,7,1]=>[1,5,6,7,3,4,2,8]=>[4,2,2]=>10001010=>5 [8,4,3,2,6,7,5,1]=>[1,5,6,7,3,2,4,8]=>[4,1,3]=>10001100=>3 [8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[4,4]=>10001000=>3 [6,4,3,5,2,1,8,7]=>[3,5,6,4,7,8,1,2]=>[3,3,2]=>10010010=>5 [8,4,3,5,2,7,6,1]=>[1,5,6,4,7,2,3,8]=>[3,2,3]=>10010100=>5 [8,4,3,5,7,6,2,1]=>[1,5,6,4,2,3,7,8]=>[3,1,4]=>10011000=>3 [7,4,3,6,5,2,1,8]=>[2,5,6,3,4,7,8,1]=>[3,4,1]=>10010001=>4 [7,4,3,6,5,2,8,1]=>[2,5,6,3,4,7,1,8]=>[3,3,2]=>10010010=>5 [8,4,3,6,5,2,7,1]=>[1,5,6,3,4,7,2,8]=>[3,3,2]=>10010010=>5 [8,4,3,6,5,7,2,1]=>[1,5,6,3,4,2,7,8]=>[3,2,3]=>10010100=>5 [8,4,3,7,6,5,2,1]=>[1,5,6,2,3,4,7,8]=>[3,5]=>10010000=>3 [6,5,3,4,2,1,8,7]=>[3,4,6,5,7,8,1,2]=>[3,3,2]=>10010010=>5 [6,5,3,4,2,8,7,1]=>[3,4,6,5,7,1,2,8]=>[3,2,3]=>10010100=>5 [8,5,3,4,2,7,6,1]=>[1,4,6,5,7,2,3,8]=>[3,2,3]=>10010100=>5 [8,5,3,4,7,6,2,1]=>[1,4,6,5,2,3,7,8]=>[3,1,4]=>10011000=>3 [8,7,3,4,6,5,2,1]=>[1,2,6,5,3,4,7,8]=>[3,1,4]=>10011000=>3 [7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[3,4,1]=>10010001=>4 [8,6,3,5,4,2,7,1]=>[1,3,6,4,5,7,2,8]=>[3,3,2]=>10010010=>5 [8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[3,2,3]=>10010100=>5 [8,7,3,5,6,4,2,1]=>[1,2,6,4,3,5,7,8]=>[3,1,4]=>10011000=>3 [8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[3,5]=>10010000=>3 [8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[5,3]=>10000100=>3 [8,5,4,3,7,6,2,1]=>[1,4,5,6,2,3,7,8]=>[4,4]=>10001000=>3 [8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[4,4]=>10001000=>3 [8,7,4,6,5,3,2,1]=>[1,2,5,3,4,6,7,8]=>[3,5]=>10010000=>3 [2,4,1,3,6,5,8,7]=>[7,5,8,6,3,4,1,2]=>[1,2,1,2,2]=>11011010=>5 [2,1,4,6,3,5,8,7]=>[7,8,5,3,6,4,1,2]=>[2,1,2,1,2]=>10110110=>5 [2,4,1,6,3,5,8,7]=>[7,5,8,3,6,4,1,2]=>[1,2,2,1,2]=>11010110=>5 [2,4,6,1,3,5,8,7]=>[7,5,3,8,6,4,1,2]=>[1,1,2,1,1,2]=>11101110=>3 [2,1,4,3,6,8,5,7]=>[7,8,5,6,3,1,4,2]=>[2,2,1,2,1]=>10101101=>6 [2,4,1,3,6,8,5,7]=>[7,5,8,6,3,1,4,2]=>[1,2,1,1,2,1]=>11011101=>4 [2,1,4,6,3,8,5,7]=>[7,8,5,3,6,1,4,2]=>[2,1,2,2,1]=>10110101=>6 [2,4,1,6,3,8,5,7]=>[7,5,8,3,6,1,4,2]=>[1,2,2,2,1]=>11010101=>6 [2,4,6,1,3,8,5,7]=>[7,5,3,8,6,1,4,2]=>[1,1,2,1,2,1]=>11101101=>4 [2,1,4,6,8,3,5,7]=>[7,8,5,3,1,6,4,2]=>[2,1,1,2,1,1]=>10111011=>4 [2,4,1,6,8,3,5,7]=>[7,5,8,3,1,6,4,2]=>[1,2,1,2,1,1]=>11011011=>4 [2,4,6,1,8,3,5,7]=>[7,5,3,8,1,6,4,2]=>[1,1,2,2,1,1]=>11101011=>4 [2,4,6,8,1,3,5,7]=>[7,5,3,1,8,6,4,2]=>[1,1,1,2,1,1,1]=>11110111=>2 [2,4,1,3,6,5,7,8]=>[7,5,8,6,3,4,2,1]=>[1,2,1,2,1,1]=>11011011=>4 [2,1,4,6,3,5,7,8]=>[7,8,5,3,6,4,2,1]=>[2,1,2,1,1,1]=>10110111=>4 [2,4,1,6,3,5,7,8]=>[7,5,8,3,6,4,2,1]=>[1,2,2,1,1,1]=>11010111=>4 [2,4,6,1,3,5,7,8]=>[7,5,3,8,6,4,2,1]=>[1,1,2,1,1,1,1]=>11101111=>2 [2,4,1,3,6,7,5,8]=>[7,5,8,6,3,2,4,1]=>[1,2,1,1,2,1]=>11011101=>4 [2,1,4,6,3,7,5,8]=>[7,8,5,3,6,2,4,1]=>[2,1,2,2,1]=>10110101=>6 [2,4,1,6,3,7,5,8]=>[7,5,8,3,6,2,4,1]=>[1,2,2,2,1]=>11010101=>6 [2,4,6,1,3,7,5,8]=>[7,5,3,8,6,2,4,1]=>[1,1,2,1,2,1]=>11101101=>4 [2,1,4,6,7,3,5,8]=>[7,8,5,3,2,6,4,1]=>[2,1,1,2,1,1]=>10111011=>4 [2,4,1,6,7,3,5,8]=>[7,5,8,3,2,6,4,1]=>[1,2,1,2,1,1]=>11011011=>4 [2,4,6,1,7,3,5,8]=>[7,5,3,8,2,6,4,1]=>[1,1,2,2,1,1]=>11101011=>4 [2,4,6,7,1,3,5,8]=>[7,5,3,2,8,6,4,1]=>[1,1,1,2,1,1,1]=>11110111=>2 [2,4,1,3,6,7,8,5]=>[7,5,8,6,3,2,1,4]=>[1,2,1,1,1,2]=>11011110=>3 [2,1,4,6,3,7,8,5]=>[7,8,5,3,6,2,1,4]=>[2,1,2,1,2]=>10110110=>5 [2,4,1,6,3,7,8,5]=>[7,5,8,3,6,2,1,4]=>[1,2,2,1,2]=>11010110=>5 [2,4,6,1,3,7,8,5]=>[7,5,3,8,6,2,1,4]=>[1,1,2,1,1,2]=>11101110=>3 [2,1,4,6,7,3,8,5]=>[7,8,5,3,2,6,1,4]=>[2,1,1,2,2]=>10111010=>5 [2,4,1,6,7,3,8,5]=>[7,5,8,3,2,6,1,4]=>[1,2,1,2,2]=>11011010=>5 [2,4,6,1,7,3,8,5]=>[7,5,3,8,2,6,1,4]=>[1,1,2,2,2]=>11101010=>5 [2,4,6,7,1,3,8,5]=>[7,5,3,2,8,6,1,4]=>[1,1,1,2,1,2]=>11110110=>3 [2,1,4,6,7,8,3,5]=>[7,8,5,3,2,1,6,4]=>[2,1,1,1,2,1]=>10111101=>4 [2,4,1,6,7,8,3,5]=>[7,5,8,3,2,1,6,4]=>[1,2,1,1,2,1]=>11011101=>4 [2,4,6,1,7,8,3,5]=>[7,5,3,8,2,1,6,4]=>[1,1,2,1,2,1]=>11101101=>4 [2,4,6,7,1,8,3,5]=>[7,5,3,2,8,1,6,4]=>[1,1,1,2,2,1]=>11110101=>4 [2,4,6,7,8,1,3,5]=>[7,5,3,2,1,8,6,4]=>[1,1,1,1,2,1,1]=>11111011=>2 [2,1,4,3,7,5,8,6]=>[7,8,5,6,2,4,1,3]=>[2,2,2,2]=>10101010=>7 [2,4,1,3,7,5,8,6]=>[7,5,8,6,2,4,1,3]=>[1,2,1,2,2]=>11011010=>5 [2,1,4,7,3,5,8,6]=>[7,8,5,2,6,4,1,3]=>[2,1,2,1,2]=>10110110=>5 [2,4,1,7,3,5,8,6]=>[7,5,8,2,6,4,1,3]=>[1,2,2,1,2]=>11010110=>5 [2,4,7,1,3,5,8,6]=>[7,5,2,8,6,4,1,3]=>[1,1,2,1,1,2]=>11101110=>3 [2,1,4,3,7,8,5,6]=>[7,8,5,6,2,1,4,3]=>[2,2,1,2,1]=>10101101=>6 [2,4,1,3,7,8,5,6]=>[7,5,8,6,2,1,4,3]=>[1,2,1,1,2,1]=>11011101=>4 [2,1,4,7,3,8,5,6]=>[7,8,5,2,6,1,4,3]=>[2,1,2,2,1]=>10110101=>6 [2,4,1,7,3,8,5,6]=>[7,5,8,2,6,1,4,3]=>[1,2,2,2,1]=>11010101=>6 [2,4,7,1,3,8,5,6]=>[7,5,2,8,6,1,4,3]=>[1,1,2,1,2,1]=>11101101=>4 [2,1,4,7,8,3,5,6]=>[7,8,5,2,1,6,4,3]=>[2,1,1,2,1,1]=>10111011=>4 [2,4,1,7,8,3,5,6]=>[7,5,8,2,1,6,4,3]=>[1,2,1,2,1,1]=>11011011=>4 [2,4,7,1,8,3,5,6]=>[7,5,2,8,1,6,4,3]=>[1,1,2,2,1,1]=>11101011=>4 [2,4,7,8,1,3,5,6]=>[7,5,2,1,8,6,4,3]=>[1,1,1,2,1,1,1]=>11110111=>2 [2,1,4,3,7,5,6,8]=>[7,8,5,6,2,4,3,1]=>[2,2,2,1,1]=>10101011=>6 [2,1,4,7,3,5,6,8]=>[7,8,5,2,6,4,3,1]=>[2,1,2,1,1,1]=>10110111=>4 [2,4,1,7,3,5,6,8]=>[7,5,8,2,6,4,3,1]=>[1,2,2,1,1,1]=>11010111=>4 [2,4,7,1,3,5,6,8]=>[7,5,2,8,6,4,3,1]=>[1,1,2,1,1,1,1]=>11101111=>2 [2,4,1,5,3,7,6,8]=>[7,5,8,4,6,2,3,1]=>[1,2,2,2,1]=>11010101=>6 [2,4,1,5,7,3,6,8]=>[7,5,8,4,2,6,3,1]=>[1,2,1,2,1,1]=>11011011=>4 [2,4,5,1,7,3,6,8]=>[7,5,4,8,2,6,3,1]=>[1,1,2,2,1,1]=>11101011=>4 [2,4,5,7,1,3,6,8]=>[7,5,4,2,8,6,3,1]=>[1,1,1,2,1,1,1]=>11110111=>2 [2,4,1,3,5,7,8,6]=>[7,5,8,6,4,2,1,3]=>[1,2,1,1,1,2]=>11011110=>3 [2,4,1,5,3,7,8,6]=>[7,5,8,4,6,2,1,3]=>[1,2,2,1,2]=>11010110=>5 [2,4,5,1,3,7,8,6]=>[7,5,4,8,6,2,1,3]=>[1,1,2,1,1,2]=>11101110=>3 [2,1,4,5,7,3,8,6]=>[7,8,5,4,2,6,1,3]=>[2,1,1,2,2]=>10111010=>5 [2,4,1,5,7,3,8,6]=>[7,5,8,4,2,6,1,3]=>[1,2,1,2,2]=>11011010=>5 [2,4,5,1,7,3,8,6]=>[7,5,4,8,2,6,1,3]=>[1,1,2,2,2]=>11101010=>5 [2,4,5,7,1,3,8,6]=>[7,5,4,2,8,6,1,3]=>[1,1,1,2,1,2]=>11110110=>3 [2,1,4,5,7,8,3,6]=>[7,8,5,4,2,1,6,3]=>[2,1,1,1,2,1]=>10111101=>4 [2,4,1,5,7,8,3,6]=>[7,5,8,4,2,1,6,3]=>[1,2,1,1,2,1]=>11011101=>4 [2,4,5,1,7,8,3,6]=>[7,5,4,8,2,1,6,3]=>[1,1,2,1,2,1]=>11101101=>4 [2,4,5,7,1,8,3,6]=>[7,5,4,2,8,1,6,3]=>[1,1,1,2,2,1]=>11110101=>4 [2,4,5,7,8,1,3,6]=>[7,5,4,2,1,8,6,3]=>[1,1,1,1,2,1,1]=>11111011=>2 [2,1,4,3,8,5,6,7]=>[7,8,5,6,1,4,3,2]=>[2,2,2,1,1]=>10101011=>6 [2,4,1,3,8,5,6,7]=>[7,5,8,6,1,4,3,2]=>[1,2,1,2,1,1]=>11011011=>4 [2,1,4,8,3,5,6,7]=>[7,8,5,1,6,4,3,2]=>[2,1,2,1,1,1]=>10110111=>4 [2,4,1,8,3,5,6,7]=>[7,5,8,1,6,4,3,2]=>[1,2,2,1,1,1]=>11010111=>4 [2,4,8,1,3,5,6,7]=>[7,5,1,8,6,4,3,2]=>[1,1,2,1,1,1,1]=>11101111=>2 [2,1,4,3,5,8,6,7]=>[7,8,5,6,4,1,3,2]=>[2,2,1,2,1]=>10101101=>6 [2,4,1,3,5,8,6,7]=>[7,5,8,6,4,1,3,2]=>[1,2,1,1,2,1]=>11011101=>4 [2,4,1,5,3,8,6,7]=>[7,5,8,4,6,1,3,2]=>[1,2,2,2,1]=>11010101=>6 [2,4,5,1,3,8,6,7]=>[7,5,4,8,6,1,3,2]=>[1,1,2,1,2,1]=>11101101=>4 [2,1,4,5,8,3,6,7]=>[7,8,5,4,1,6,3,2]=>[2,1,1,2,1,1]=>10111011=>4 [2,4,1,5,8,3,6,7]=>[7,5,8,4,1,6,3,2]=>[1,2,1,2,1,1]=>11011011=>4 [2,4,5,1,8,3,6,7]=>[7,5,4,8,1,6,3,2]=>[1,1,2,2,1,1]=>11101011=>4 [2,4,5,8,1,3,6,7]=>[7,5,4,1,8,6,3,2]=>[1,1,1,2,1,1,1]=>11110111=>2 [2,4,1,5,3,6,8,7]=>[7,5,8,4,6,3,1,2]=>[1,2,2,1,2]=>11010110=>5 [2,4,5,1,3,6,8,7]=>[7,5,4,8,6,3,1,2]=>[1,1,2,1,1,2]=>11101110=>3 [2,4,1,5,6,3,8,7]=>[7,5,8,4,3,6,1,2]=>[1,2,1,2,2]=>11011010=>5 [2,4,5,1,6,3,8,7]=>[7,5,4,8,3,6,1,2]=>[1,1,2,2,2]=>11101010=>5 [2,4,5,6,1,3,8,7]=>[7,5,4,3,8,6,1,2]=>[1,1,1,2,1,2]=>11110110=>3 [2,1,4,5,6,8,3,7]=>[7,8,5,4,3,1,6,2]=>[2,1,1,1,2,1]=>10111101=>4 [2,4,1,5,6,8,3,7]=>[7,5,8,4,3,1,6,2]=>[1,2,1,1,2,1]=>11011101=>4 [2,4,5,1,6,8,3,7]=>[7,5,4,8,3,1,6,2]=>[1,1,2,1,2,1]=>11101101=>4 [2,4,5,6,1,8,3,7]=>[7,5,4,3,8,1,6,2]=>[1,1,1,2,2,1]=>11110101=>4 [2,4,5,6,8,1,3,7]=>[7,5,4,3,1,8,6,2]=>[1,1,1,1,2,1,1]=>11111011=>2 [2,4,1,3,5,6,7,8]=>[7,5,8,6,4,3,2,1]=>[1,2,1,1,1,1,1]=>11011111=>2 [2,4,1,5,3,6,7,8]=>[7,5,8,4,6,3,2,1]=>[1,2,2,1,1,1]=>11010111=>4 [2,4,5,1,3,6,7,8]=>[7,5,4,8,6,3,2,1]=>[1,1,2,1,1,1,1]=>11101111=>2 [2,4,1,5,6,3,7,8]=>[7,5,8,4,3,6,2,1]=>[1,2,1,2,1,1]=>11011011=>4 [2,4,5,1,6,3,7,8]=>[7,5,4,8,3,6,2,1]=>[1,1,2,2,1,1]=>11101011=>4 [2,4,5,6,1,3,7,8]=>[7,5,4,3,8,6,2,1]=>[1,1,1,2,1,1,1]=>11110111=>2 [2,4,1,5,6,7,3,8]=>[7,5,8,4,3,2,6,1]=>[1,2,1,1,2,1]=>11011101=>4 [2,4,5,1,6,7,3,8]=>[7,5,4,8,3,2,6,1]=>[1,1,2,1,2,1]=>11101101=>4 [2,4,5,6,1,7,3,8]=>[7,5,4,3,8,2,6,1]=>[1,1,1,2,2,1]=>11110101=>4 [2,4,5,6,7,1,3,8]=>[7,5,4,3,2,8,6,1]=>[1,1,1,1,2,1,1]=>11111011=>2 [2,4,1,5,6,7,8,3]=>[7,5,8,4,3,2,1,6]=>[1,2,1,1,1,2]=>11011110=>3 [2,4,5,1,6,7,8,3]=>[7,5,4,8,3,2,1,6]=>[1,1,2,1,1,2]=>11101110=>3 [2,4,5,6,1,7,8,3]=>[7,5,4,3,8,2,1,6]=>[1,1,1,2,1,2]=>11110110=>3 [2,4,5,6,7,1,8,3]=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,2,2]=>11111010=>3 [2,4,5,6,7,8,1,3]=>[7,5,4,3,2,1,8,6]=>[1,1,1,1,1,2,1]=>11111101=>2 [2,1,5,3,6,4,8,7]=>[7,8,4,6,3,5,1,2]=>[2,2,2,2]=>10101010=>7 [2,5,1,3,6,4,8,7]=>[7,4,8,6,3,5,1,2]=>[1,2,1,2,2]=>11011010=>5 [2,1,5,6,3,4,8,7]=>[7,8,4,3,6,5,1,2]=>[2,1,2,1,2]=>10110110=>5 [2,5,1,6,3,4,8,7]=>[7,4,8,3,6,5,1,2]=>[1,2,2,1,2]=>11010110=>5 [2,5,6,1,3,4,8,7]=>[7,4,3,8,6,5,1,2]=>[1,1,2,1,1,2]=>11101110=>3 [2,1,5,3,6,8,4,7]=>[7,8,4,6,3,1,5,2]=>[2,2,1,2,1]=>10101101=>6 [2,5,1,3,6,8,4,7]=>[7,4,8,6,3,1,5,2]=>[1,2,1,1,2,1]=>11011101=>4 [2,1,5,6,3,8,4,7]=>[7,8,4,3,6,1,5,2]=>[2,1,2,2,1]=>10110101=>6 [2,5,1,6,3,8,4,7]=>[7,4,8,3,6,1,5,2]=>[1,2,2,2,1]=>11010101=>6 [2,5,6,1,3,8,4,7]=>[7,4,3,8,6,1,5,2]=>[1,1,2,1,2,1]=>11101101=>4 [2,1,5,6,8,3,4,7]=>[7,8,4,3,1,6,5,2]=>[2,1,1,2,1,1]=>10111011=>4 [2,5,1,6,8,3,4,7]=>[7,4,8,3,1,6,5,2]=>[1,2,1,2,1,1]=>11011011=>4 [2,5,6,1,8,3,4,7]=>[7,4,3,8,1,6,5,2]=>[1,1,2,2,1,1]=>11101011=>4 [2,5,6,8,1,3,4,7]=>[7,4,3,1,8,6,5,2]=>[1,1,1,2,1,1,1]=>11110111=>2 [2,1,5,3,6,4,7,8]=>[7,8,4,6,3,5,2,1]=>[2,2,2,1,1]=>10101011=>6 [2,5,1,3,6,4,7,8]=>[7,4,8,6,3,5,2,1]=>[1,2,1,2,1,1]=>11011011=>4 [2,1,5,6,3,4,7,8]=>[7,8,4,3,6,5,2,1]=>[2,1,2,1,1,1]=>10110111=>4 [2,5,1,6,3,4,7,8]=>[7,4,8,3,6,5,2,1]=>[1,2,2,1,1,1]=>11010111=>4 [2,1,5,3,6,7,4,8]=>[7,8,4,6,3,2,5,1]=>[2,2,1,2,1]=>10101101=>6 [2,5,1,3,6,7,4,8]=>[7,4,8,6,3,2,5,1]=>[1,2,1,1,2,1]=>11011101=>4 [2,1,5,6,3,7,4,8]=>[7,8,4,3,6,2,5,1]=>[2,1,2,2,1]=>10110101=>6 [2,5,1,6,3,7,4,8]=>[7,4,8,3,6,2,5,1]=>[1,2,2,2,1]=>11010101=>6 [2,5,6,1,3,7,4,8]=>[7,4,3,8,6,2,5,1]=>[1,1,2,1,2,1]=>11101101=>4 [2,1,5,6,7,3,4,8]=>[7,8,4,3,2,6,5,1]=>[2,1,1,2,1,1]=>10111011=>4 [2,5,1,6,7,3,4,8]=>[7,4,8,3,2,6,5,1]=>[1,2,1,2,1,1]=>11011011=>4 [2,5,6,1,7,3,4,8]=>[7,4,3,8,2,6,5,1]=>[1,1,2,2,1,1]=>11101011=>4 [2,1,5,3,6,7,8,4]=>[7,8,4,6,3,2,1,5]=>[2,2,1,1,2]=>10101110=>5 [2,5,1,3,6,7,8,4]=>[7,4,8,6,3,2,1,5]=>[1,2,1,1,1,2]=>11011110=>3 [2,1,5,6,3,7,8,4]=>[7,8,4,3,6,2,1,5]=>[2,1,2,1,2]=>10110110=>5 [2,5,1,6,3,7,8,4]=>[7,4,8,3,6,2,1,5]=>[1,2,2,1,2]=>11010110=>5 [2,5,6,1,3,7,8,4]=>[7,4,3,8,6,2,1,5]=>[1,1,2,1,1,2]=>11101110=>3 [2,1,5,6,7,3,8,4]=>[7,8,4,3,2,6,1,5]=>[2,1,1,2,2]=>10111010=>5 [2,5,1,6,7,3,8,4]=>[7,4,8,3,2,6,1,5]=>[1,2,1,2,2]=>11011010=>5 [2,5,6,1,7,3,8,4]=>[7,4,3,8,2,6,1,5]=>[1,1,2,2,2]=>11101010=>5 [2,5,6,7,1,3,8,4]=>[7,4,3,2,8,6,1,5]=>[1,1,1,2,1,2]=>11110110=>3 [2,1,5,6,7,8,3,4]=>[7,8,4,3,2,1,6,5]=>[2,1,1,1,2,1]=>10111101=>4 [2,5,1,6,7,8,3,4]=>[7,4,8,3,2,1,6,5]=>[1,2,1,1,2,1]=>11011101=>4 [2,5,6,1,7,8,3,4]=>[7,4,3,8,2,1,6,5]=>[1,1,2,1,2,1]=>11101101=>4 [2,5,6,7,1,8,3,4]=>[7,4,3,2,8,1,6,5]=>[1,1,1,2,2,1]=>11110101=>4 [2,5,6,7,8,1,3,4]=>[7,4,3,2,1,8,6,5]=>[1,1,1,1,2,1,1]=>11111011=>2 [2,1,5,3,7,4,8,6]=>[7,8,4,6,2,5,1,3]=>[2,2,2,2]=>10101010=>7 [2,5,1,3,7,4,8,6]=>[7,4,8,6,2,5,1,3]=>[1,2,1,2,2]=>11011010=>5 [2,1,5,7,3,4,8,6]=>[7,8,4,2,6,5,1,3]=>[2,1,2,1,2]=>10110110=>5 [2,5,1,7,3,4,8,6]=>[7,4,8,2,6,5,1,3]=>[1,2,2,1,2]=>11010110=>5 [2,5,7,1,3,4,8,6]=>[7,4,2,8,6,5,1,3]=>[1,1,2,1,1,2]=>11101110=>3 [2,1,5,3,7,8,4,6]=>[7,8,4,6,2,1,5,3]=>[2,2,1,2,1]=>10101101=>6 [2,5,1,3,7,8,4,6]=>[7,4,8,6,2,1,5,3]=>[1,2,1,1,2,1]=>11011101=>4 [2,1,5,7,3,8,4,6]=>[7,8,4,2,6,1,5,3]=>[2,1,2,2,1]=>10110101=>6 [2,5,1,7,3,8,4,6]=>[7,4,8,2,6,1,5,3]=>[1,2,2,2,1]=>11010101=>6 [2,1,5,7,8,3,4,6]=>[7,8,4,2,1,6,5,3]=>[2,1,1,2,1,1]=>10111011=>4 [2,5,7,1,8,3,4,6]=>[7,4,2,8,1,6,5,3]=>[1,1,2,2,1,1]=>11101011=>4 [2,5,7,8,1,3,4,6]=>[7,4,2,1,8,6,5,3]=>[1,1,1,2,1,1,1]=>11110111=>2 [2,5,1,3,7,4,6,8]=>[7,4,8,6,2,5,3,1]=>[1,2,1,2,1,1]=>11011011=>4 [2,1,5,7,3,4,6,8]=>[7,8,4,2,6,5,3,1]=>[2,1,2,1,1,1]=>10110111=>4 [2,5,1,7,3,4,6,8]=>[7,4,8,2,6,5,3,1]=>[1,2,2,1,1,1]=>11010111=>4 [2,5,7,1,3,4,6,8]=>[7,4,2,8,6,5,3,1]=>[1,1,2,1,1,1,1]=>11101111=>2 [2,5,1,3,4,7,6,8]=>[7,4,8,6,5,2,3,1]=>[1,2,1,1,2,1]=>11011101=>4 [2,3,5,1,4,7,6,8]=>[7,6,4,8,5,2,3,1]=>[1,1,2,1,2,1]=>11101101=>4 [2,1,3,5,7,4,6,8]=>[7,8,6,4,2,5,3,1]=>[2,1,1,2,1,1]=>10111011=>4 [2,3,1,5,7,4,6,8]=>[7,6,8,4,2,5,3,1]=>[1,2,1,2,1,1]=>11011011=>4 [2,3,5,1,7,4,6,8]=>[7,6,4,8,2,5,3,1]=>[1,1,2,2,1,1]=>11101011=>4 [2,3,5,7,1,4,6,8]=>[7,6,4,2,8,5,3,1]=>[1,1,1,2,1,1,1]=>11110111=>2 [2,1,5,3,4,7,8,6]=>[7,8,4,6,5,2,1,3]=>[2,2,1,1,2]=>10101110=>5 [2,5,1,3,4,7,8,6]=>[7,4,8,6,5,2,1,3]=>[1,2,1,1,1,2]=>11011110=>3 [2,3,5,1,4,7,8,6]=>[7,6,4,8,5,2,1,3]=>[1,1,2,1,1,2]=>11101110=>3 [2,1,3,5,7,4,8,6]=>[7,8,6,4,2,5,1,3]=>[2,1,1,2,2]=>10111010=>5 [2,3,1,5,7,4,8,6]=>[7,6,8,4,2,5,1,3]=>[1,2,1,2,2]=>11011010=>5 [2,3,5,1,7,4,8,6]=>[7,6,4,8,2,5,1,3]=>[1,1,2,2,2]=>11101010=>5 [2,3,5,7,1,4,8,6]=>[7,6,4,2,8,5,1,3]=>[1,1,1,2,1,2]=>11110110=>3 [2,3,1,5,7,8,4,6]=>[7,6,8,4,2,1,5,3]=>[1,2,1,1,2,1]=>11011101=>4 [2,3,5,1,7,8,4,6]=>[7,6,4,8,2,1,5,3]=>[1,1,2,1,2,1]=>11101101=>4 [2,3,5,7,1,8,4,6]=>[7,6,4,2,8,1,5,3]=>[1,1,1,2,2,1]=>11110101=>4 [2,1,5,3,8,4,6,7]=>[7,8,4,6,1,5,3,2]=>[2,2,2,1,1]=>10101011=>6 [2,5,1,3,8,4,6,7]=>[7,4,8,6,1,5,3,2]=>[1,2,1,2,1,1]=>11011011=>4 [2,1,5,8,3,4,6,7]=>[7,8,4,1,6,5,3,2]=>[2,1,2,1,1,1]=>10110111=>4 [2,5,1,8,3,4,6,7]=>[7,4,8,1,6,5,3,2]=>[1,2,2,1,1,1]=>11010111=>4 [2,5,8,1,3,4,6,7]=>[7,4,1,8,6,5,3,2]=>[1,1,2,1,1,1,1]=>11101111=>2 [2,1,5,3,4,8,6,7]=>[7,8,4,6,5,1,3,2]=>[2,2,1,2,1]=>10101101=>6 [2,5,1,3,4,8,6,7]=>[7,4,8,6,5,1,3,2]=>[1,2,1,1,2,1]=>11011101=>4 [2,3,5,1,4,8,6,7]=>[7,6,4,8,5,1,3,2]=>[1,1,2,1,2,1]=>11101101=>4 [2,1,3,5,8,4,6,7]=>[7,8,6,4,1,5,3,2]=>[2,1,1,2,1,1]=>10111011=>4 [2,3,1,5,8,4,6,7]=>[7,6,8,4,1,5,3,2]=>[1,2,1,2,1,1]=>11011011=>4 [2,3,5,1,8,4,6,7]=>[7,6,4,8,1,5,3,2]=>[1,1,2,2,1,1]=>11101011=>4 [2,3,5,8,1,4,6,7]=>[7,6,4,1,8,5,3,2]=>[1,1,1,2,1,1,1]=>11110111=>2 [2,1,5,3,4,6,8,7]=>[7,8,4,6,5,3,1,2]=>[2,2,1,1,2]=>10101110=>5 [2,5,1,3,4,6,8,7]=>[7,4,8,6,5,3,1,2]=>[1,2,1,1,1,2]=>11011110=>3 [2,3,5,1,4,6,8,7]=>[7,6,4,8,5,3,1,2]=>[1,1,2,1,1,2]=>11101110=>3 [2,3,5,1,6,4,8,7]=>[7,6,4,8,3,5,1,2]=>[1,1,2,2,2]=>11101010=>5 [2,3,5,6,1,4,8,7]=>[7,6,4,3,8,5,1,2]=>[1,1,1,2,1,2]=>11110110=>3 [2,1,3,5,6,8,4,7]=>[7,8,6,4,3,1,5,2]=>[2,1,1,1,2,1]=>10111101=>4 [2,3,1,5,6,8,4,7]=>[7,6,8,4,3,1,5,2]=>[1,2,1,1,2,1]=>11011101=>4 [2,3,5,1,6,8,4,7]=>[7,6,4,8,3,1,5,2]=>[1,1,2,1,2,1]=>11101101=>4 [2,3,5,6,1,8,4,7]=>[7,6,4,3,8,1,5,2]=>[1,1,1,2,2,1]=>11110101=>4 [2,3,5,6,8,1,4,7]=>[7,6,4,3,1,8,5,2]=>[1,1,1,1,2,1,1]=>11111011=>2 [2,1,5,3,4,6,7,8]=>[7,8,4,6,5,3,2,1]=>[2,2,1,1,1,1]=>10101111=>4 [2,5,1,3,4,6,7,8]=>[7,4,8,6,5,3,2,1]=>[1,2,1,1,1,1,1]=>11011111=>2 [2,3,5,1,4,6,7,8]=>[7,6,4,8,5,3,2,1]=>[1,1,2,1,1,1,1]=>11101111=>2 [2,3,5,1,6,4,7,8]=>[7,6,4,8,3,5,2,1]=>[1,1,2,2,1,1]=>11101011=>4 [2,3,5,6,1,4,7,8]=>[7,6,4,3,8,5,2,1]=>[1,1,1,2,1,1,1]=>11110111=>2 [2,3,5,1,6,7,4,8]=>[7,6,4,8,3,2,5,1]=>[1,1,2,1,2,1]=>11101101=>4 [2,3,5,6,1,7,4,8]=>[7,6,4,3,8,2,5,1]=>[1,1,1,2,2,1]=>11110101=>4 [2,3,5,6,7,1,4,8]=>[7,6,4,3,2,8,5,1]=>[1,1,1,1,2,1,1]=>11111011=>2 [2,3,5,1,6,7,8,4]=>[7,6,4,8,3,2,1,5]=>[1,1,2,1,1,2]=>11101110=>3 [2,3,5,6,1,7,8,4]=>[7,6,4,3,8,2,1,5]=>[1,1,1,2,1,2]=>11110110=>3 [2,3,5,6,7,1,8,4]=>[7,6,4,3,2,8,1,5]=>[1,1,1,1,2,2]=>11111010=>3 [2,3,5,6,7,8,1,4]=>[7,6,4,3,2,1,8,5]=>[1,1,1,1,1,2,1]=>11111101=>2 [2,1,6,3,7,4,8,5]=>[7,8,3,6,2,5,1,4]=>[2,2,2,2]=>10101010=>7 [2,6,1,3,7,4,8,5]=>[7,3,8,6,2,5,1,4]=>[1,2,1,2,2]=>11011010=>5 [2,6,1,7,3,4,8,5]=>[7,3,8,2,6,5,1,4]=>[1,2,2,1,2]=>11010110=>5 [2,6,7,1,3,4,8,5]=>[7,3,2,8,6,5,1,4]=>[1,1,2,1,1,2]=>11101110=>3 [2,1,6,3,7,8,4,5]=>[7,8,3,6,2,1,5,4]=>[2,2,1,2,1]=>10101101=>6 [2,6,1,3,7,8,4,5]=>[7,3,8,6,2,1,5,4]=>[1,2,1,1,2,1]=>11011101=>4 [2,1,6,7,3,8,4,5]=>[7,8,3,2,6,1,5,4]=>[2,1,2,2,1]=>10110101=>6 [2,6,1,7,3,8,4,5]=>[7,3,8,2,6,1,5,4]=>[1,2,2,2,1]=>11010101=>6 [2,6,7,1,3,8,4,5]=>[7,3,2,8,6,1,5,4]=>[1,1,2,1,2,1]=>11101101=>4 [2,1,6,7,8,3,4,5]=>[7,8,3,2,1,6,5,4]=>[2,1,1,2,1,1]=>10111011=>4 [2,6,1,7,8,3,4,5]=>[7,3,8,2,1,6,5,4]=>[1,2,1,2,1,1]=>11011011=>4 [2,6,7,1,8,3,4,5]=>[7,3,2,8,1,6,5,4]=>[1,1,2,2,1,1]=>11101011=>4 [2,6,7,8,1,3,4,5]=>[7,3,2,1,8,6,5,4]=>[1,1,1,2,1,1,1]=>11110111=>2 [2,1,6,3,7,4,5,8]=>[7,8,3,6,2,5,4,1]=>[2,2,2,1,1]=>10101011=>6 [2,6,1,3,7,4,5,8]=>[7,3,8,6,2,5,4,1]=>[1,2,1,2,1,1]=>11011011=>4 [2,1,6,7,3,4,5,8]=>[7,8,3,2,6,5,4,1]=>[2,1,2,1,1,1]=>10110111=>4 [2,6,1,7,3,4,5,8]=>[7,3,8,2,6,5,4,1]=>[1,2,2,1,1,1]=>11010111=>4 [2,6,7,1,3,4,5,8]=>[7,3,2,8,6,5,4,1]=>[1,1,2,1,1,1,1]=>11101111=>2 [2,6,1,3,4,7,5,8]=>[7,3,8,6,5,2,4,1]=>[1,2,1,1,2,1]=>11011101=>4 [2,1,3,6,4,7,5,8]=>[7,8,6,3,5,2,4,1]=>[2,1,2,2,1]=>10110101=>6 [2,3,1,6,4,7,5,8]=>[7,6,8,3,5,2,4,1]=>[1,2,2,2,1]=>11010101=>6 [2,3,6,1,4,7,5,8]=>[7,6,3,8,5,2,4,1]=>[1,1,2,1,2,1]=>11101101=>4 [2,1,3,6,7,4,5,8]=>[7,8,6,3,2,5,4,1]=>[2,1,1,2,1,1]=>10111011=>4 [2,3,1,6,7,4,5,8]=>[7,6,8,3,2,5,4,1]=>[1,2,1,2,1,1]=>11011011=>4 [2,3,6,1,7,4,5,8]=>[7,6,3,8,2,5,4,1]=>[1,1,2,2,1,1]=>11101011=>4 [2,3,6,7,1,4,5,8]=>[7,6,3,2,8,5,4,1]=>[1,1,1,2,1,1,1]=>11110111=>2 [2,1,6,3,4,7,8,5]=>[7,8,3,6,5,2,1,4]=>[2,2,1,1,2]=>10101110=>5 [2,6,1,3,4,7,8,5]=>[7,3,8,6,5,2,1,4]=>[1,2,1,1,1,2]=>11011110=>3 [2,1,3,6,4,7,8,5]=>[7,8,6,3,5,2,1,4]=>[2,1,2,1,2]=>10110110=>5 [2,3,1,6,4,7,8,5]=>[7,6,8,3,5,2,1,4]=>[1,2,2,1,2]=>11010110=>5 [2,3,6,1,4,7,8,5]=>[7,6,3,8,5,2,1,4]=>[1,1,2,1,1,2]=>11101110=>3 [2,1,3,6,7,4,8,5]=>[7,8,6,3,2,5,1,4]=>[2,1,1,2,2]=>10111010=>5 [2,3,1,6,7,4,8,5]=>[7,6,8,3,2,5,1,4]=>[1,2,1,2,2]=>11011010=>5 [2,3,6,1,7,4,8,5]=>[7,6,3,8,2,5,1,4]=>[1,1,2,2,2]=>11101010=>5 [2,3,6,7,1,4,8,5]=>[7,6,3,2,8,5,1,4]=>[1,1,1,2,1,2]=>11110110=>3 [2,1,3,6,7,8,4,5]=>[7,8,6,3,2,1,5,4]=>[2,1,1,1,2,1]=>10111101=>4 [2,3,1,6,7,8,4,5]=>[7,6,8,3,2,1,5,4]=>[1,2,1,1,2,1]=>11011101=>4 [2,3,6,1,7,8,4,5]=>[7,6,3,8,2,1,5,4]=>[1,1,2,1,2,1]=>11101101=>4 [2,3,6,7,1,8,4,5]=>[7,6,3,2,8,1,5,4]=>[1,1,1,2,2,1]=>11110101=>4 [2,3,6,7,8,1,4,5]=>[7,6,3,2,1,8,5,4]=>[1,1,1,1,2,1,1]=>11111011=>2 [2,1,6,3,8,4,5,7]=>[7,8,3,6,1,5,4,2]=>[2,2,2,1,1]=>10101011=>6 [2,6,1,3,8,4,5,7]=>[7,3,8,6,1,5,4,2]=>[1,2,1,2,1,1]=>11011011=>4 [2,1,6,8,3,4,5,7]=>[7,8,3,1,6,5,4,2]=>[2,1,2,1,1,1]=>10110111=>4 [2,6,1,8,3,4,5,7]=>[7,3,8,1,6,5,4,2]=>[1,2,2,1,1,1]=>11010111=>4 [2,6,8,1,3,4,5,7]=>[7,3,1,8,6,5,4,2]=>[1,1,2,1,1,1,1]=>11101111=>2 [2,6,1,3,4,8,5,7]=>[7,3,8,6,5,1,4,2]=>[1,2,1,1,2,1]=>11011101=>4 [2,1,3,6,4,8,5,7]=>[7,8,6,3,5,1,4,2]=>[2,1,2,2,1]=>10110101=>6 [2,3,1,6,4,8,5,7]=>[7,6,8,3,5,1,4,2]=>[1,2,2,2,1]=>11010101=>6 [2,3,6,1,4,8,5,7]=>[7,6,3,8,5,1,4,2]=>[1,1,2,1,2,1]=>11101101=>4 [2,1,3,6,8,4,5,7]=>[7,8,6,3,1,5,4,2]=>[2,1,1,2,1,1]=>10111011=>4 [2,3,1,6,8,4,5,7]=>[7,6,8,3,1,5,4,2]=>[1,2,1,2,1,1]=>11011011=>4 [2,3,6,1,8,4,5,7]=>[7,6,3,8,1,5,4,2]=>[1,1,2,2,1,1]=>11101011=>4 [2,1,6,3,4,5,8,7]=>[7,8,3,6,5,4,1,2]=>[2,2,1,1,2]=>10101110=>5 [2,6,1,3,4,5,8,7]=>[7,3,8,6,5,4,1,2]=>[1,2,1,1,1,2]=>11011110=>3 [2,3,1,6,4,5,8,7]=>[7,6,8,3,5,4,1,2]=>[1,2,2,1,2]=>11010110=>5 [2,3,6,1,4,5,8,7]=>[7,6,3,8,5,4,1,2]=>[1,1,2,1,1,2]=>11101110=>3 [2,3,4,6,1,5,8,7]=>[7,6,5,3,8,4,1,2]=>[1,1,1,2,1,2]=>11110110=>3 [2,3,1,4,6,8,5,7]=>[7,6,8,5,3,1,4,2]=>[1,2,1,1,2,1]=>11011101=>4 [2,3,4,1,6,8,5,7]=>[7,6,5,8,3,1,4,2]=>[1,1,2,1,2,1]=>11101101=>4 [2,3,4,6,1,8,5,7]=>[7,6,5,3,8,1,4,2]=>[1,1,1,2,2,1]=>11110101=>4 [2,3,4,6,8,1,5,7]=>[7,6,5,3,1,8,4,2]=>[1,1,1,1,2,1,1]=>11111011=>2 [2,6,1,3,4,5,7,8]=>[7,3,8,6,5,4,2,1]=>[1,2,1,1,1,1,1]=>11011111=>2 [2,1,3,6,4,5,7,8]=>[7,8,6,3,5,4,2,1]=>[2,1,2,1,1,1]=>10110111=>4 [2,3,1,6,4,5,7,8]=>[7,6,8,3,5,4,2,1]=>[1,2,2,1,1,1]=>11010111=>4 [2,3,6,1,4,5,7,8]=>[7,6,3,8,5,4,2,1]=>[1,1,2,1,1,1,1]=>11101111=>2 [2,3,4,6,1,5,7,8]=>[7,6,5,3,8,4,2,1]=>[1,1,1,2,1,1,1]=>11110111=>2 [2,3,4,6,1,7,5,8]=>[7,6,5,3,8,2,4,1]=>[1,1,1,2,2,1]=>11110101=>4 [2,3,4,6,7,1,5,8]=>[7,6,5,3,2,8,4,1]=>[1,1,1,1,2,1,1]=>11111011=>2 [2,3,4,6,1,7,8,5]=>[7,6,5,3,8,2,1,4]=>[1,1,1,2,1,2]=>11110110=>3 [2,3,4,6,7,1,8,5]=>[7,6,5,3,2,8,1,4]=>[1,1,1,1,2,2]=>11111010=>3 [2,3,4,6,7,8,1,5]=>[7,6,5,3,2,1,8,4]=>[1,1,1,1,1,2,1]=>11111101=>2 [2,1,7,3,8,4,5,6]=>[7,8,2,6,1,5,4,3]=>[2,2,2,1,1]=>10101011=>6 [2,7,1,3,8,4,5,6]=>[7,2,8,6,1,5,4,3]=>[1,2,1,2,1,1]=>11011011=>4 [2,1,7,8,3,4,5,6]=>[7,8,2,1,6,5,4,3]=>[2,1,2,1,1,1]=>10110111=>4 [2,7,1,8,3,4,5,6]=>[7,2,8,1,6,5,4,3]=>[1,2,2,1,1,1]=>11010111=>4 [2,7,8,1,3,4,5,6]=>[7,2,1,8,6,5,4,3]=>[1,1,2,1,1,1,1]=>11101111=>2 [2,1,7,3,4,8,5,6]=>[7,8,2,6,5,1,4,3]=>[2,2,1,2,1]=>10101101=>6 [2,7,1,3,4,8,5,6]=>[7,2,8,6,5,1,4,3]=>[1,2,1,1,2,1]=>11011101=>4 [2,1,3,7,4,8,5,6]=>[7,8,6,2,5,1,4,3]=>[2,1,2,2,1]=>10110101=>6 [2,3,1,7,4,8,5,6]=>[7,6,8,2,5,1,4,3]=>[1,2,2,2,1]=>11010101=>6 [2,3,7,1,4,8,5,6]=>[7,6,2,8,5,1,4,3]=>[1,1,2,1,2,1]=>11101101=>4 [2,1,3,7,8,4,5,6]=>[7,8,6,2,1,5,4,3]=>[2,1,1,2,1,1]=>10111011=>4 [2,3,7,8,1,4,5,6]=>[7,6,2,1,8,5,4,3]=>[1,1,1,2,1,1,1]=>11110111=>2 [2,1,7,3,4,5,8,6]=>[7,8,2,6,5,4,1,3]=>[2,2,1,1,2]=>10101110=>5 [2,7,1,3,4,5,8,6]=>[7,2,8,6,5,4,1,3]=>[1,2,1,1,1,2]=>11011110=>3 [2,3,1,7,4,5,8,6]=>[7,6,8,2,5,4,1,3]=>[1,2,2,1,2]=>11010110=>5 [2,3,7,1,4,5,8,6]=>[7,6,2,8,5,4,1,3]=>[1,1,2,1,1,2]=>11101110=>3 [2,3,1,4,7,5,8,6]=>[7,6,8,5,2,4,1,3]=>[1,2,1,2,2]=>11011010=>5 [2,3,4,1,7,5,8,6]=>[7,6,5,8,2,4,1,3]=>[1,1,2,2,2]=>11101010=>5 [2,3,4,7,1,5,8,6]=>[7,6,5,2,8,4,1,3]=>[1,1,1,2,1,2]=>11110110=>3 [2,1,3,4,7,8,5,6]=>[7,8,6,5,2,1,4,3]=>[2,1,1,1,2,1]=>10111101=>4 [2,3,1,4,7,8,5,6]=>[7,6,8,5,2,1,4,3]=>[1,2,1,1,2,1]=>11011101=>4 [2,3,4,1,7,8,5,6]=>[7,6,5,8,2,1,4,3]=>[1,1,2,1,2,1]=>11101101=>4 [2,3,4,7,1,8,5,6]=>[7,6,5,2,8,1,4,3]=>[1,1,1,2,2,1]=>11110101=>4 [2,3,4,7,8,1,5,6]=>[7,6,5,2,1,8,4,3]=>[1,1,1,1,2,1,1]=>11111011=>2 [2,1,7,3,4,5,6,8]=>[7,8,2,6,5,4,3,1]=>[2,2,1,1,1,1]=>10101111=>4 [2,7,1,3,4,5,6,8]=>[7,2,8,6,5,4,3,1]=>[1,2,1,1,1,1,1]=>11011111=>2 [2,1,3,7,4,5,6,8]=>[7,8,6,2,5,4,3,1]=>[2,1,2,1,1,1]=>10110111=>4 [2,3,1,7,4,5,6,8]=>[7,6,8,2,5,4,3,1]=>[1,2,2,1,1,1]=>11010111=>4 [2,3,7,1,4,5,6,8]=>[7,6,2,8,5,4,3,1]=>[1,1,2,1,1,1,1]=>11101111=>2 [2,1,3,4,7,5,6,8]=>[7,8,6,5,2,4,3,1]=>[2,1,1,2,1,1]=>10111011=>4 [2,3,1,4,7,5,6,8]=>[7,6,8,5,2,4,3,1]=>[1,2,1,2,1,1]=>11011011=>4 [2,3,4,1,7,5,6,8]=>[7,6,5,8,2,4,3,1]=>[1,1,2,2,1,1]=>11101011=>4 [2,3,4,7,1,5,6,8]=>[7,6,5,2,8,4,3,1]=>[1,1,1,2,1,1,1]=>11110111=>2 [2,3,4,5,7,1,6,8]=>[7,6,5,4,2,8,3,1]=>[1,1,1,1,2,1,1]=>11111011=>2 [2,3,4,5,7,1,8,6]=>[7,6,5,4,2,8,1,3]=>[1,1,1,1,2,2]=>11111010=>3 [2,3,4,5,7,8,1,6]=>[7,6,5,4,2,1,8,3]=>[1,1,1,1,1,2,1]=>11111101=>2 [2,1,8,3,4,5,6,7]=>[7,8,1,6,5,4,3,2]=>[2,2,1,1,1,1]=>10101111=>4 [2,8,1,3,4,5,6,7]=>[7,1,8,6,5,4,3,2]=>[1,2,1,1,1,1,1]=>11011111=>2 [2,1,3,8,4,5,6,7]=>[7,8,6,1,5,4,3,2]=>[2,1,2,1,1,1]=>10110111=>4 [2,3,1,8,4,5,6,7]=>[7,6,8,1,5,4,3,2]=>[1,2,2,1,1,1]=>11010111=>4 [2,3,8,1,4,5,6,7]=>[7,6,1,8,5,4,3,2]=>[1,1,2,1,1,1,1]=>11101111=>2 [2,1,3,4,8,5,6,7]=>[7,8,6,5,1,4,3,2]=>[2,1,1,2,1,1]=>10111011=>4 [2,3,1,4,8,5,6,7]=>[7,6,8,5,1,4,3,2]=>[1,2,1,2,1,1]=>11011011=>4 [2,3,4,1,8,5,6,7]=>[7,6,5,8,1,4,3,2]=>[1,1,2,2,1,1]=>11101011=>4 [2,3,4,8,1,5,6,7]=>[7,6,5,1,8,4,3,2]=>[1,1,1,2,1,1,1]=>11110111=>2 [2,1,3,4,5,8,6,7]=>[7,8,6,5,4,1,3,2]=>[2,1,1,1,2,1]=>10111101=>4 [2,3,1,4,5,8,6,7]=>[7,6,8,5,4,1,3,2]=>[1,2,1,1,2,1]=>11011101=>4 [2,3,4,1,5,8,6,7]=>[7,6,5,8,4,1,3,2]=>[1,1,2,1,2,1]=>11101101=>4 [2,3,4,5,1,8,6,7]=>[7,6,5,4,8,1,3,2]=>[1,1,1,2,2,1]=>11110101=>4 [2,3,4,5,8,1,6,7]=>[7,6,5,4,1,8,3,2]=>[1,1,1,1,2,1,1]=>11111011=>2 [2,3,4,5,6,8,1,7]=>[7,6,5,4,3,1,8,2]=>[1,1,1,1,1,2,1]=>11111101=>2 [3,1,4,2,6,5,8,7]=>[6,8,5,7,3,4,1,2]=>[2,2,2,2]=>10101010=>7 [3,4,1,2,6,5,8,7]=>[6,5,8,7,3,4,1,2]=>[1,2,1,2,2]=>11011010=>5 [3,1,4,6,2,5,8,7]=>[6,8,5,3,7,4,1,2]=>[2,1,2,1,2]=>10110110=>5 [3,4,1,6,2,5,8,7]=>[6,5,8,3,7,4,1,2]=>[1,2,2,1,2]=>11010110=>5 [3,4,6,1,2,5,8,7]=>[6,5,3,8,7,4,1,2]=>[1,1,2,1,1,2]=>11101110=>3 [3,1,4,2,6,8,5,7]=>[6,8,5,7,3,1,4,2]=>[2,2,1,2,1]=>10101101=>6 [3,4,1,2,6,8,5,7]=>[6,5,8,7,3,1,4,2]=>[1,2,1,1,2,1]=>11011101=>4 [3,1,4,6,2,8,5,7]=>[6,8,5,3,7,1,4,2]=>[2,1,2,2,1]=>10110101=>6 [3,4,1,6,2,8,5,7]=>[6,5,8,3,7,1,4,2]=>[1,2,2,2,1]=>11010101=>6 [3,4,6,1,2,8,5,7]=>[6,5,3,8,7,1,4,2]=>[1,1,2,1,2,1]=>11101101=>4 [3,1,4,6,8,2,5,7]=>[6,8,5,3,1,7,4,2]=>[2,1,1,2,1,1]=>10111011=>4 [3,4,1,6,8,2,5,7]=>[6,5,8,3,1,7,4,2]=>[1,2,1,2,1,1]=>11011011=>4 [3,4,6,1,8,2,5,7]=>[6,5,3,8,1,7,4,2]=>[1,1,2,2,1,1]=>11101011=>4 [3,4,6,8,1,2,5,7]=>[6,5,3,1,8,7,4,2]=>[1,1,1,2,1,1,1]=>11110111=>2 [3,1,4,2,6,5,7,8]=>[6,8,5,7,3,4,2,1]=>[2,2,2,1,1]=>10101011=>6 [3,4,1,2,6,5,7,8]=>[6,5,8,7,3,4,2,1]=>[1,2,1,2,1,1]=>11011011=>4 [3,1,4,6,2,5,7,8]=>[6,8,5,3,7,4,2,1]=>[2,1,2,1,1,1]=>10110111=>4 [3,4,1,6,2,5,7,8]=>[6,5,8,3,7,4,2,1]=>[1,2,2,1,1,1]=>11010111=>4 [3,1,4,2,6,7,5,8]=>[6,8,5,7,3,2,4,1]=>[2,2,1,2,1]=>10101101=>6 [3,4,1,2,6,7,5,8]=>[6,5,8,7,3,2,4,1]=>[1,2,1,1,2,1]=>11011101=>4 [3,1,4,6,2,7,5,8]=>[6,8,5,3,7,2,4,1]=>[2,1,2,2,1]=>10110101=>6 [3,4,1,6,2,7,5,8]=>[6,5,8,3,7,2,4,1]=>[1,2,2,2,1]=>11010101=>6 [3,4,6,1,2,7,5,8]=>[6,5,3,8,7,2,4,1]=>[1,1,2,1,2,1]=>11101101=>4 [3,1,4,6,7,2,5,8]=>[6,8,5,3,2,7,4,1]=>[2,1,1,2,1,1]=>10111011=>4 [3,4,1,6,7,2,5,8]=>[6,5,8,3,2,7,4,1]=>[1,2,1,2,1,1]=>11011011=>4 [3,4,6,1,7,2,5,8]=>[6,5,3,8,2,7,4,1]=>[1,1,2,2,1,1]=>11101011=>4 [3,4,6,7,1,2,5,8]=>[6,5,3,2,8,7,4,1]=>[1,1,1,2,1,1,1]=>11110111=>2 [3,1,4,2,6,7,8,5]=>[6,8,5,7,3,2,1,4]=>[2,2,1,1,2]=>10101110=>5 [3,4,1,2,6,7,8,5]=>[6,5,8,7,3,2,1,4]=>[1,2,1,1,1,2]=>11011110=>3 [3,1,4,6,2,7,8,5]=>[6,8,5,3,7,2,1,4]=>[2,1,2,1,2]=>10110110=>5 [3,4,1,6,2,7,8,5]=>[6,5,8,3,7,2,1,4]=>[1,2,2,1,2]=>11010110=>5 [3,4,6,1,2,7,8,5]=>[6,5,3,8,7,2,1,4]=>[1,1,2,1,1,2]=>11101110=>3 [3,1,4,6,7,2,8,5]=>[6,8,5,3,2,7,1,4]=>[2,1,1,2,2]=>10111010=>5 [3,4,1,6,7,2,8,5]=>[6,5,8,3,2,7,1,4]=>[1,2,1,2,2]=>11011010=>5 [3,4,6,1,7,2,8,5]=>[6,5,3,8,2,7,1,4]=>[1,1,2,2,2]=>11101010=>5 [3,4,6,7,1,2,8,5]=>[6,5,3,2,8,7,1,4]=>[1,1,1,2,1,2]=>11110110=>3 [3,1,4,6,7,8,2,5]=>[6,8,5,3,2,1,7,4]=>[2,1,1,1,2,1]=>10111101=>4 [3,4,1,6,7,8,2,5]=>[6,5,8,3,2,1,7,4]=>[1,2,1,1,2,1]=>11011101=>4 [3,4,6,1,7,8,2,5]=>[6,5,3,8,2,1,7,4]=>[1,1,2,1,2,1]=>11101101=>4 [3,4,6,7,1,8,2,5]=>[6,5,3,2,8,1,7,4]=>[1,1,1,2,2,1]=>11110101=>4 [3,4,6,7,8,1,2,5]=>[6,5,3,2,1,8,7,4]=>[1,1,1,1,2,1,1]=>11111011=>2 [3,1,4,2,7,5,8,6]=>[6,8,5,7,2,4,1,3]=>[2,2,2,2]=>10101010=>7 [3,4,1,2,7,5,8,6]=>[6,5,8,7,2,4,1,3]=>[1,2,1,2,2]=>11011010=>5 [3,1,4,7,2,5,8,6]=>[6,8,5,2,7,4,1,3]=>[2,1,2,1,2]=>10110110=>5 [3,4,1,7,2,5,8,6]=>[6,5,8,2,7,4,1,3]=>[1,2,2,1,2]=>11010110=>5 [3,4,7,1,2,5,8,6]=>[6,5,2,8,7,4,1,3]=>[1,1,2,1,1,2]=>11101110=>3 [3,1,4,2,7,8,5,6]=>[6,8,5,7,2,1,4,3]=>[2,2,1,2,1]=>10101101=>6 [3,4,1,2,7,8,5,6]=>[6,5,8,7,2,1,4,3]=>[1,2,1,1,2,1]=>11011101=>4 [3,1,4,7,2,8,5,6]=>[6,8,5,2,7,1,4,3]=>[2,1,2,2,1]=>10110101=>6 [3,4,1,7,2,8,5,6]=>[6,5,8,2,7,1,4,3]=>[1,2,2,2,1]=>11010101=>6 [3,4,7,1,2,8,5,6]=>[6,5,2,8,7,1,4,3]=>[1,1,2,1,2,1]=>11101101=>4 [3,1,4,7,8,2,5,6]=>[6,8,5,2,1,7,4,3]=>[2,1,1,2,1,1]=>10111011=>4 [3,4,1,7,8,2,5,6]=>[6,5,8,2,1,7,4,3]=>[1,2,1,2,1,1]=>11011011=>4 [3,4,7,1,8,2,5,6]=>[6,5,2,8,1,7,4,3]=>[1,1,2,2,1,1]=>11101011=>4 [3,4,7,8,1,2,5,6]=>[6,5,2,1,8,7,4,3]=>[1,1,1,2,1,1,1]=>11110111=>2 [3,1,4,2,7,5,6,8]=>[6,8,5,7,2,4,3,1]=>[2,2,2,1,1]=>10101011=>6 [3,4,1,2,7,5,6,8]=>[6,5,8,7,2,4,3,1]=>[1,2,1,2,1,1]=>11011011=>4 [3,1,4,7,2,5,6,8]=>[6,8,5,2,7,4,3,1]=>[2,1,2,1,1,1]=>10110111=>4 [3,4,1,7,2,5,6,8]=>[6,5,8,2,7,4,3,1]=>[1,2,2,1,1,1]=>11010111=>4 [3,4,7,1,2,5,6,8]=>[6,5,2,8,7,4,3,1]=>[1,1,2,1,1,1,1]=>11101111=>2 [3,1,4,2,5,7,6,8]=>[6,8,5,7,4,2,3,1]=>[2,2,1,2,1]=>10101101=>6 [3,4,1,2,5,7,6,8]=>[6,5,8,7,4,2,3,1]=>[1,2,1,1,2,1]=>11011101=>4 [3,1,4,5,2,7,6,8]=>[6,8,5,4,7,2,3,1]=>[2,1,2,2,1]=>10110101=>6 [3,4,1,5,2,7,6,8]=>[6,5,8,4,7,2,3,1]=>[1,2,2,2,1]=>11010101=>6 [3,4,5,1,2,7,6,8]=>[6,5,4,8,7,2,3,1]=>[1,1,2,1,2,1]=>11101101=>4 [3,1,4,5,7,2,6,8]=>[6,8,5,4,2,7,3,1]=>[2,1,1,2,1,1]=>10111011=>4 [3,4,1,5,7,2,6,8]=>[6,5,8,4,2,7,3,1]=>[1,2,1,2,1,1]=>11011011=>4 [3,4,5,1,7,2,6,8]=>[6,5,4,8,2,7,3,1]=>[1,1,2,2,1,1]=>11101011=>4 [3,4,5,7,1,2,6,8]=>[6,5,4,2,8,7,3,1]=>[1,1,1,2,1,1,1]=>11110111=>2 [3,1,4,2,5,7,8,6]=>[6,8,5,7,4,2,1,3]=>[2,2,1,1,2]=>10101110=>5 [3,4,1,2,5,7,8,6]=>[6,5,8,7,4,2,1,3]=>[1,2,1,1,1,2]=>11011110=>3 [3,4,1,5,2,7,8,6]=>[6,5,8,4,7,2,1,3]=>[1,2,2,1,2]=>11010110=>5 [3,4,5,1,2,7,8,6]=>[6,5,4,8,7,2,1,3]=>[1,1,2,1,1,2]=>11101110=>3 [3,1,4,5,7,2,8,6]=>[6,8,5,4,2,7,1,3]=>[2,1,1,2,2]=>10111010=>5 [3,4,1,5,7,2,8,6]=>[6,5,8,4,2,7,1,3]=>[1,2,1,2,2]=>11011010=>5 [3,4,5,1,7,2,8,6]=>[6,5,4,8,2,7,1,3]=>[1,1,2,2,2]=>11101010=>5 [3,4,5,7,1,2,8,6]=>[6,5,4,2,8,7,1,3]=>[1,1,1,2,1,2]=>11110110=>3 [3,1,4,5,7,8,2,6]=>[6,8,5,4,2,1,7,3]=>[2,1,1,1,2,1]=>10111101=>4 [3,4,1,5,7,8,2,6]=>[6,5,8,4,2,1,7,3]=>[1,2,1,1,2,1]=>11011101=>4 [3,4,5,1,7,8,2,6]=>[6,5,4,8,2,1,7,3]=>[1,1,2,1,2,1]=>11101101=>4 [3,4,5,7,1,8,2,6]=>[6,5,4,2,8,1,7,3]=>[1,1,1,2,2,1]=>11110101=>4 [3,4,5,7,8,1,2,6]=>[6,5,4,2,1,8,7,3]=>[1,1,1,1,2,1,1]=>11111011=>2 [3,1,4,2,8,5,6,7]=>[6,8,5,7,1,4,3,2]=>[2,2,2,1,1]=>10101011=>6 [3,4,1,2,8,5,6,7]=>[6,5,8,7,1,4,3,2]=>[1,2,1,2,1,1]=>11011011=>4 [3,1,4,8,2,5,6,7]=>[6,8,5,1,7,4,3,2]=>[2,1,2,1,1,1]=>10110111=>4 [3,4,1,8,2,5,6,7]=>[6,5,8,1,7,4,3,2]=>[1,2,2,1,1,1]=>11010111=>4 [3,4,8,1,2,5,6,7]=>[6,5,1,8,7,4,3,2]=>[1,1,2,1,1,1,1]=>11101111=>2 [3,4,1,2,5,8,6,7]=>[6,5,8,7,4,1,3,2]=>[1,2,1,1,2,1]=>11011101=>4 [3,1,4,5,2,8,6,7]=>[6,8,5,4,7,1,3,2]=>[2,1,2,2,1]=>10110101=>6 [3,4,1,5,2,8,6,7]=>[6,5,8,4,7,1,3,2]=>[1,2,2,2,1]=>11010101=>6 [3,4,5,1,2,8,6,7]=>[6,5,4,8,7,1,3,2]=>[1,1,2,1,2,1]=>11101101=>4 [3,1,4,5,8,2,6,7]=>[6,8,5,4,1,7,3,2]=>[2,1,1,2,1,1]=>10111011=>4 [3,4,1,5,8,2,6,7]=>[6,5,8,4,1,7,3,2]=>[1,2,1,2,1,1]=>11011011=>4 [3,4,5,8,1,2,6,7]=>[6,5,4,1,8,7,3,2]=>[1,1,1,2,1,1,1]=>11110111=>2 [3,4,1,2,5,6,8,7]=>[6,5,8,7,4,3,1,2]=>[1,2,1,1,1,2]=>11011110=>3 [3,1,4,5,2,6,8,7]=>[6,8,5,4,7,3,1,2]=>[2,1,2,1,2]=>10110110=>5 [3,4,5,1,2,6,8,7]=>[6,5,4,8,7,3,1,2]=>[1,1,2,1,1,2]=>11101110=>3 [3,1,4,5,6,2,8,7]=>[6,8,5,4,3,7,1,2]=>[2,1,1,2,2]=>10111010=>5 [3,4,1,5,6,2,8,7]=>[6,5,8,4,3,7,1,2]=>[1,2,1,2,2]=>11011010=>5 [3,4,5,1,6,2,8,7]=>[6,5,4,8,3,7,1,2]=>[1,1,2,2,2]=>11101010=>5 [3,4,5,6,1,2,8,7]=>[6,5,4,3,8,7,1,2]=>[1,1,1,2,1,2]=>11110110=>3 [3,1,4,5,6,8,2,7]=>[6,8,5,4,3,1,7,2]=>[2,1,1,1,2,1]=>10111101=>4 [3,4,1,5,6,8,2,7]=>[6,5,8,4,3,1,7,2]=>[1,2,1,1,2,1]=>11011101=>4 [3,4,5,1,6,8,2,7]=>[6,5,4,8,3,1,7,2]=>[1,1,2,1,2,1]=>11101101=>4 [3,4,5,6,1,8,2,7]=>[6,5,4,3,8,1,7,2]=>[1,1,1,2,2,1]=>11110101=>4 [3,4,5,6,8,1,2,7]=>[6,5,4,3,1,8,7,2]=>[1,1,1,1,2,1,1]=>11111011=>2 [3,1,4,2,5,6,7,8]=>[6,8,5,7,4,3,2,1]=>[2,2,1,1,1,1]=>10101111=>4 [3,1,4,5,2,6,7,8]=>[6,8,5,4,7,3,2,1]=>[2,1,2,1,1,1]=>10110111=>4 [3,4,1,5,2,6,7,8]=>[6,5,8,4,7,3,2,1]=>[1,2,2,1,1,1]=>11010111=>4 [3,1,4,5,6,2,7,8]=>[6,8,5,4,3,7,2,1]=>[2,1,1,2,1,1]=>10111011=>4 [3,4,1,5,6,2,7,8]=>[6,5,8,4,3,7,2,1]=>[1,2,1,2,1,1]=>11011011=>4 [3,4,5,1,6,2,7,8]=>[6,5,4,8,3,7,2,1]=>[1,1,2,2,1,1]=>11101011=>4 [3,1,4,5,6,7,2,8]=>[6,8,5,4,3,2,7,1]=>[2,1,1,1,2,1]=>10111101=>4 [3,4,1,5,6,7,2,8]=>[6,5,8,4,3,2,7,1]=>[1,2,1,1,2,1]=>11011101=>4 [3,4,5,1,6,7,2,8]=>[6,5,4,8,3,2,7,1]=>[1,1,2,1,2,1]=>11101101=>4 [3,4,5,6,1,7,2,8]=>[6,5,4,3,8,2,7,1]=>[1,1,1,2,2,1]=>11110101=>4 [3,1,4,5,6,7,8,2]=>[6,8,5,4,3,2,1,7]=>[2,1,1,1,1,2]=>10111110=>3 [3,4,1,5,6,7,8,2]=>[6,5,8,4,3,2,1,7]=>[1,2,1,1,1,2]=>11011110=>3 [3,4,5,1,6,7,8,2]=>[6,5,4,8,3,2,1,7]=>[1,1,2,1,1,2]=>11101110=>3 [3,4,5,6,1,7,8,2]=>[6,5,4,3,8,2,1,7]=>[1,1,1,2,1,2]=>11110110=>3 [3,4,5,6,7,1,8,2]=>[6,5,4,3,2,8,1,7]=>[1,1,1,1,2,2]=>11111010=>3 [3,1,5,2,6,4,8,7]=>[6,8,4,7,3,5,1,2]=>[2,2,2,2]=>10101010=>7 [3,5,1,2,6,4,8,7]=>[6,4,8,7,3,5,1,2]=>[1,2,1,2,2]=>11011010=>5 [3,1,5,6,2,4,8,7]=>[6,8,4,3,7,5,1,2]=>[2,1,2,1,2]=>10110110=>5 [3,5,1,6,2,4,8,7]=>[6,4,8,3,7,5,1,2]=>[1,2,2,1,2]=>11010110=>5 [3,5,6,1,2,4,8,7]=>[6,4,3,8,7,5,1,2]=>[1,1,2,1,1,2]=>11101110=>3 [3,1,5,2,6,8,4,7]=>[6,8,4,7,3,1,5,2]=>[2,2,1,2,1]=>10101101=>6 [3,5,1,2,6,8,4,7]=>[6,4,8,7,3,1,5,2]=>[1,2,1,1,2,1]=>11011101=>4 [3,1,5,6,2,8,4,7]=>[6,8,4,3,7,1,5,2]=>[2,1,2,2,1]=>10110101=>6 [3,5,1,6,2,8,4,7]=>[6,4,8,3,7,1,5,2]=>[1,2,2,2,1]=>11010101=>6 [3,5,6,1,2,8,4,7]=>[6,4,3,8,7,1,5,2]=>[1,1,2,1,2,1]=>11101101=>4 [3,1,5,6,8,2,4,7]=>[6,8,4,3,1,7,5,2]=>[2,1,1,2,1,1]=>10111011=>4 [3,5,1,6,8,2,4,7]=>[6,4,8,3,1,7,5,2]=>[1,2,1,2,1,1]=>11011011=>4 [3,5,6,1,8,2,4,7]=>[6,4,3,8,1,7,5,2]=>[1,1,2,2,1,1]=>11101011=>4 [3,5,6,8,1,2,4,7]=>[6,4,3,1,8,7,5,2]=>[1,1,1,2,1,1,1]=>11110111=>2 [3,1,5,2,6,4,7,8]=>[6,8,4,7,3,5,2,1]=>[2,2,2,1,1]=>10101011=>6 [3,5,1,2,6,4,7,8]=>[6,4,8,7,3,5,2,1]=>[1,2,1,2,1,1]=>11011011=>4 [3,1,5,6,2,4,7,8]=>[6,8,4,3,7,5,2,1]=>[2,1,2,1,1,1]=>10110111=>4 [3,5,1,6,2,4,7,8]=>[6,4,8,3,7,5,2,1]=>[1,2,2,1,1,1]=>11010111=>4 [3,5,6,1,2,4,7,8]=>[6,4,3,8,7,5,2,1]=>[1,1,2,1,1,1,1]=>11101111=>2 [3,1,5,2,6,7,4,8]=>[6,8,4,7,3,2,5,1]=>[2,2,1,2,1]=>10101101=>6 [3,5,1,2,6,7,4,8]=>[6,4,8,7,3,2,5,1]=>[1,2,1,1,2,1]=>11011101=>4 [3,1,5,6,2,7,4,8]=>[6,8,4,3,7,2,5,1]=>[2,1,2,2,1]=>10110101=>6 [3,5,1,6,2,7,4,8]=>[6,4,8,3,7,2,5,1]=>[1,2,2,2,1]=>11010101=>6 [3,5,6,1,2,7,4,8]=>[6,4,3,8,7,2,5,1]=>[1,1,2,1,2,1]=>11101101=>4 [3,1,5,6,7,2,4,8]=>[6,8,4,3,2,7,5,1]=>[2,1,1,2,1,1]=>10111011=>4 [3,5,1,6,7,2,4,8]=>[6,4,8,3,2,7,5,1]=>[1,2,1,2,1,1]=>11011011=>4 [3,5,6,1,7,2,4,8]=>[6,4,3,8,2,7,5,1]=>[1,1,2,2,1,1]=>11101011=>4 [3,5,6,7,1,2,4,8]=>[6,4,3,2,8,7,5,1]=>[1,1,1,2,1,1,1]=>11110111=>2 [3,1,5,2,6,7,8,4]=>[6,8,4,7,3,2,1,5]=>[2,2,1,1,2]=>10101110=>5 [3,5,1,2,6,7,8,4]=>[6,4,8,7,3,2,1,5]=>[1,2,1,1,1,2]=>11011110=>3 [3,1,5,6,2,7,8,4]=>[6,8,4,3,7,2,1,5]=>[2,1,2,1,2]=>10110110=>5 [3,5,1,6,2,7,8,4]=>[6,4,8,3,7,2,1,5]=>[1,2,2,1,2]=>11010110=>5 [3,5,6,1,2,7,8,4]=>[6,4,3,8,7,2,1,5]=>[1,1,2,1,1,2]=>11101110=>3 [3,1,5,6,7,2,8,4]=>[6,8,4,3,2,7,1,5]=>[2,1,1,2,2]=>10111010=>5 [3,5,1,6,7,2,8,4]=>[6,4,8,3,2,7,1,5]=>[1,2,1,2,2]=>11011010=>5 [3,5,6,1,7,2,8,4]=>[6,4,3,8,2,7,1,5]=>[1,1,2,2,2]=>11101010=>5 [3,5,6,7,1,2,8,4]=>[6,4,3,2,8,7,1,5]=>[1,1,1,2,1,2]=>11110110=>3 [3,1,5,6,7,8,2,4]=>[6,8,4,3,2,1,7,5]=>[2,1,1,1,2,1]=>10111101=>4 [3,5,1,6,7,8,2,4]=>[6,4,8,3,2,1,7,5]=>[1,2,1,1,2,1]=>11011101=>4 [3,5,6,1,7,8,2,4]=>[6,4,3,8,2,1,7,5]=>[1,1,2,1,2,1]=>11101101=>4 [3,5,6,7,1,8,2,4]=>[6,4,3,2,8,1,7,5]=>[1,1,1,2,2,1]=>11110101=>4 [3,5,6,7,8,1,2,4]=>[6,4,3,2,1,8,7,5]=>[1,1,1,1,2,1,1]=>11111011=>2 [3,1,5,2,7,4,8,6]=>[6,8,4,7,2,5,1,3]=>[2,2,2,2]=>10101010=>7 [3,5,1,2,7,4,8,6]=>[6,4,8,7,2,5,1,3]=>[1,2,1,2,2]=>11011010=>5 [3,1,5,7,2,4,8,6]=>[6,8,4,2,7,5,1,3]=>[2,1,2,1,2]=>10110110=>5 [3,5,1,7,2,4,8,6]=>[6,4,8,2,7,5,1,3]=>[1,2,2,1,2]=>11010110=>5 [3,5,7,1,2,4,8,6]=>[6,4,2,8,7,5,1,3]=>[1,1,2,1,1,2]=>11101110=>3 [3,1,5,2,7,8,4,6]=>[6,8,4,7,2,1,5,3]=>[2,2,1,2,1]=>10101101=>6 [3,5,1,2,7,8,4,6]=>[6,4,8,7,2,1,5,3]=>[1,2,1,1,2,1]=>11011101=>4 [3,1,5,7,2,8,4,6]=>[6,8,4,2,7,1,5,3]=>[2,1,2,2,1]=>10110101=>6 [3,5,1,7,2,8,4,6]=>[6,4,8,2,7,1,5,3]=>[1,2,2,2,1]=>11010101=>6 [3,5,7,1,2,8,4,6]=>[6,4,2,8,7,1,5,3]=>[1,1,2,1,2,1]=>11101101=>4 [3,1,5,7,8,2,4,6]=>[6,8,4,2,1,7,5,3]=>[2,1,1,2,1,1]=>10111011=>4 [3,5,1,7,8,2,4,6]=>[6,4,8,2,1,7,5,3]=>[1,2,1,2,1,1]=>11011011=>4 [3,5,7,1,8,2,4,6]=>[6,4,2,8,1,7,5,3]=>[1,1,2,2,1,1]=>11101011=>4 [3,5,7,8,1,2,4,6]=>[6,4,2,1,8,7,5,3]=>[1,1,1,2,1,1,1]=>11110111=>2 [3,1,5,2,7,4,6,8]=>[6,8,4,7,2,5,3,1]=>[2,2,2,1,1]=>10101011=>6 [3,5,1,2,7,4,6,8]=>[6,4,8,7,2,5,3,1]=>[1,2,1,2,1,1]=>11011011=>4 [3,1,5,7,2,4,6,8]=>[6,8,4,2,7,5,3,1]=>[2,1,2,1,1,1]=>10110111=>4 [3,5,1,7,2,4,6,8]=>[6,4,8,2,7,5,3,1]=>[1,2,2,1,1,1]=>11010111=>4 [3,5,7,1,2,4,6,8]=>[6,4,2,8,7,5,3,1]=>[1,1,2,1,1,1,1]=>11101111=>2 [3,1,5,2,4,7,6,8]=>[6,8,4,7,5,2,3,1]=>[2,2,1,2,1]=>10101101=>6 [3,5,1,2,4,7,6,8]=>[6,4,8,7,5,2,3,1]=>[1,2,1,1,2,1]=>11011101=>4 [3,1,2,5,4,7,6,8]=>[6,8,7,4,5,2,3,1]=>[2,1,2,2,1]=>10110101=>6 [1,3,5,2,4,7,6,8]=>[8,6,4,7,5,2,3,1]=>[1,1,2,1,2,1]=>11101101=>4 [3,1,2,5,7,4,6,8]=>[6,8,7,4,2,5,3,1]=>[2,1,1,2,1,1]=>10111011=>4 [1,3,2,5,7,4,6,8]=>[8,6,7,4,2,5,3,1]=>[1,2,1,2,1,1]=>11011011=>4 [1,3,5,2,7,4,6,8]=>[8,6,4,7,2,5,3,1]=>[1,1,2,2,1,1]=>11101011=>4 [1,3,5,7,2,4,6,8]=>[8,6,4,2,7,5,3,1]=>[1,1,1,2,1,1,1]=>11110111=>2 [3,1,5,2,4,7,8,6]=>[6,8,4,7,5,2,1,3]=>[2,2,1,1,2]=>10101110=>5 [3,5,1,2,4,7,8,6]=>[6,4,8,7,5,2,1,3]=>[1,2,1,1,1,2]=>11011110=>3 [3,1,2,5,4,7,8,6]=>[6,8,7,4,5,2,1,3]=>[2,1,2,1,2]=>10110110=>5 [1,3,5,2,4,7,8,6]=>[8,6,4,7,5,2,1,3]=>[1,1,2,1,1,2]=>11101110=>3 [3,1,2,5,7,4,8,6]=>[6,8,7,4,2,5,1,3]=>[2,1,1,2,2]=>10111010=>5 [1,3,2,5,7,4,8,6]=>[8,6,7,4,2,5,1,3]=>[1,2,1,2,2]=>11011010=>5 [1,3,5,2,7,4,8,6]=>[8,6,4,7,2,5,1,3]=>[1,1,2,2,2]=>11101010=>5 [1,3,5,7,2,4,8,6]=>[8,6,4,2,7,5,1,3]=>[1,1,1,2,1,2]=>11110110=>3 [3,1,2,5,7,8,4,6]=>[6,8,7,4,2,1,5,3]=>[2,1,1,1,2,1]=>10111101=>4 [1,3,2,5,7,8,4,6]=>[8,6,7,4,2,1,5,3]=>[1,2,1,1,2,1]=>11011101=>4 [1,3,5,2,7,8,4,6]=>[8,6,4,7,2,1,5,3]=>[1,1,2,1,2,1]=>11101101=>4 [1,3,5,7,2,8,4,6]=>[8,6,4,2,7,1,5,3]=>[1,1,1,2,2,1]=>11110101=>4 [1,3,5,7,8,2,4,6]=>[8,6,4,2,1,7,5,3]=>[1,1,1,1,2,1,1]=>11111011=>2 [3,1,5,2,8,4,6,7]=>[6,8,4,7,1,5,3,2]=>[2,2,2,1,1]=>10101011=>6 [3,5,1,2,8,4,6,7]=>[6,4,8,7,1,5,3,2]=>[1,2,1,2,1,1]=>11011011=>4 [3,1,5,8,2,4,6,7]=>[6,8,4,1,7,5,3,2]=>[2,1,2,1,1,1]=>10110111=>4 [3,5,1,8,2,4,6,7]=>[6,4,8,1,7,5,3,2]=>[1,2,2,1,1,1]=>11010111=>4 [3,5,8,1,2,4,6,7]=>[6,4,1,8,7,5,3,2]=>[1,1,2,1,1,1,1]=>11101111=>2 [3,1,5,2,4,8,6,7]=>[6,8,4,7,5,1,3,2]=>[2,2,1,2,1]=>10101101=>6 [3,5,1,2,4,8,6,7]=>[6,4,8,7,5,1,3,2]=>[1,2,1,1,2,1]=>11011101=>4 [3,1,2,5,4,8,6,7]=>[6,8,7,4,5,1,3,2]=>[2,1,2,2,1]=>10110101=>6 [1,3,2,5,4,8,6,7]=>[8,6,7,4,5,1,3,2]=>[1,2,2,2,1]=>11010101=>6 [1,3,5,2,4,8,6,7]=>[8,6,4,7,5,1,3,2]=>[1,1,2,1,2,1]=>11101101=>4 [3,1,2,5,8,4,6,7]=>[6,8,7,4,1,5,3,2]=>[2,1,1,2,1,1]=>10111011=>4 [1,3,2,5,8,4,6,7]=>[8,6,7,4,1,5,3,2]=>[1,2,1,2,1,1]=>11011011=>4 [1,3,5,2,8,4,6,7]=>[8,6,4,7,1,5,3,2]=>[1,1,2,2,1,1]=>11101011=>4 [1,3,5,8,2,4,6,7]=>[8,6,4,1,7,5,3,2]=>[1,1,1,2,1,1,1]=>11110111=>2 [3,1,5,2,4,6,8,7]=>[6,8,4,7,5,3,1,2]=>[2,2,1,1,2]=>10101110=>5 [3,5,1,2,4,6,8,7]=>[6,4,8,7,5,3,1,2]=>[1,2,1,1,1,2]=>11011110=>3 [3,1,2,5,4,6,8,7]=>[6,8,7,4,5,3,1,2]=>[2,1,2,1,2]=>10110110=>5 [1,3,5,2,4,6,8,7]=>[8,6,4,7,5,3,1,2]=>[1,1,2,1,1,2]=>11101110=>3 [3,1,2,5,6,4,8,7]=>[6,8,7,4,3,5,1,2]=>[2,1,1,2,2]=>10111010=>5 [1,3,5,2,6,4,8,7]=>[8,6,4,7,3,5,1,2]=>[1,1,2,2,2]=>11101010=>5 [1,3,5,6,2,4,8,7]=>[8,6,4,3,7,5,1,2]=>[1,1,1,2,1,2]=>11110110=>3 [3,1,2,5,6,8,4,7]=>[6,8,7,4,3,1,5,2]=>[2,1,1,1,2,1]=>10111101=>4 [1,3,2,5,6,8,4,7]=>[8,6,7,4,3,1,5,2]=>[1,2,1,1,2,1]=>11011101=>4 [1,3,5,2,6,8,4,7]=>[8,6,4,7,3,1,5,2]=>[1,1,2,1,2,1]=>11101101=>4 [1,3,5,6,2,8,4,7]=>[8,6,4,3,7,1,5,2]=>[1,1,1,2,2,1]=>11110101=>4 [3,1,5,2,4,6,7,8]=>[6,8,4,7,5,3,2,1]=>[2,2,1,1,1,1]=>10101111=>4 [3,5,1,2,4,6,7,8]=>[6,4,8,7,5,3,2,1]=>[1,2,1,1,1,1,1]=>11011111=>2 [3,1,2,5,4,6,7,8]=>[6,8,7,4,5,3,2,1]=>[2,1,2,1,1,1]=>10110111=>4 [1,3,5,2,4,6,7,8]=>[8,6,4,7,5,3,2,1]=>[1,1,2,1,1,1,1]=>11101111=>2 [3,1,2,5,6,4,7,8]=>[6,8,7,4,3,5,2,1]=>[2,1,1,2,1,1]=>10111011=>4 [1,3,5,2,6,4,7,8]=>[8,6,4,7,3,5,2,1]=>[1,1,2,2,1,1]=>11101011=>4 [1,3,5,6,2,4,7,8]=>[8,6,4,3,7,5,2,1]=>[1,1,1,2,1,1,1]=>11110111=>2 [3,1,2,5,6,7,4,8]=>[6,8,7,4,3,2,5,1]=>[2,1,1,1,2,1]=>10111101=>4 [1,3,5,2,6,7,4,8]=>[8,6,4,7,3,2,5,1]=>[1,1,2,1,2,1]=>11101101=>4 [1,3,5,6,2,7,4,8]=>[8,6,4,3,7,2,5,1]=>[1,1,1,2,2,1]=>11110101=>4 [1,3,5,6,7,2,4,8]=>[8,6,4,3,2,7,5,1]=>[1,1,1,1,2,1,1]=>11111011=>2 [3,1,2,5,6,7,8,4]=>[6,8,7,4,3,2,1,5]=>[2,1,1,1,1,2]=>10111110=>3 [1,3,5,2,6,7,8,4]=>[8,6,4,7,3,2,1,5]=>[1,1,2,1,1,2]=>11101110=>3 [1,3,5,6,2,7,8,4]=>[8,6,4,3,7,2,1,5]=>[1,1,1,2,1,2]=>11110110=>3 [1,3,5,6,7,2,8,4]=>[8,6,4,3,2,7,1,5]=>[1,1,1,1,2,2]=>11111010=>3 [1,3,5,6,7,8,2,4]=>[8,6,4,3,2,1,7,5]=>[1,1,1,1,1,2,1]=>11111101=>2 [3,1,6,2,7,4,8,5]=>[6,8,3,7,2,5,1,4]=>[2,2,2,2]=>10101010=>7 [3,6,1,2,7,4,8,5]=>[6,3,8,7,2,5,1,4]=>[1,2,1,2,2]=>11011010=>5 [3,1,6,7,2,4,8,5]=>[6,8,3,2,7,5,1,4]=>[2,1,2,1,2]=>10110110=>5 [3,6,1,7,2,4,8,5]=>[6,3,8,2,7,5,1,4]=>[1,2,2,1,2]=>11010110=>5 [3,6,7,1,2,4,8,5]=>[6,3,2,8,7,5,1,4]=>[1,1,2,1,1,2]=>11101110=>3 [3,1,6,2,7,8,4,5]=>[6,8,3,7,2,1,5,4]=>[2,2,1,2,1]=>10101101=>6 [3,6,1,2,7,8,4,5]=>[6,3,8,7,2,1,5,4]=>[1,2,1,1,2,1]=>11011101=>4 [3,1,6,7,2,8,4,5]=>[6,8,3,2,7,1,5,4]=>[2,1,2,2,1]=>10110101=>6 [3,6,1,7,2,8,4,5]=>[6,3,8,2,7,1,5,4]=>[1,2,2,2,1]=>11010101=>6 [3,6,7,1,2,8,4,5]=>[6,3,2,8,7,1,5,4]=>[1,1,2,1,2,1]=>11101101=>4 [3,6,1,7,8,2,4,5]=>[6,3,8,2,1,7,5,4]=>[1,2,1,2,1,1]=>11011011=>4 [3,6,7,1,8,2,4,5]=>[6,3,2,8,1,7,5,4]=>[1,1,2,2,1,1]=>11101011=>4 [3,6,7,8,1,2,4,5]=>[6,3,2,1,8,7,5,4]=>[1,1,1,2,1,1,1]=>11110111=>2 [3,1,6,2,7,4,5,8]=>[6,8,3,7,2,5,4,1]=>[2,2,2,1,1]=>10101011=>6 [3,6,1,2,7,4,5,8]=>[6,3,8,7,2,5,4,1]=>[1,2,1,2,1,1]=>11011011=>4 [3,1,6,7,2,4,5,8]=>[6,8,3,2,7,5,4,1]=>[2,1,2,1,1,1]=>10110111=>4 [3,6,7,1,2,4,5,8]=>[6,3,2,8,7,5,4,1]=>[1,1,2,1,1,1,1]=>11101111=>2 [3,1,6,2,4,7,5,8]=>[6,8,3,7,5,2,4,1]=>[2,2,1,2,1]=>10101101=>6 [3,6,1,2,4,7,5,8]=>[6,3,8,7,5,2,4,1]=>[1,2,1,1,2,1]=>11011101=>4 [3,1,2,6,4,7,5,8]=>[6,8,7,3,5,2,4,1]=>[2,1,2,2,1]=>10110101=>6 [1,3,2,6,4,7,5,8]=>[8,6,7,3,5,2,4,1]=>[1,2,2,2,1]=>11010101=>6 [1,3,6,2,4,7,5,8]=>[8,6,3,7,5,2,4,1]=>[1,1,2,1,2,1]=>11101101=>4 [3,1,2,6,7,4,5,8]=>[6,8,7,3,2,5,4,1]=>[2,1,1,2,1,1]=>10111011=>4 [1,3,6,2,7,4,5,8]=>[8,6,3,7,2,5,4,1]=>[1,1,2,2,1,1]=>11101011=>4 [1,3,6,7,2,4,5,8]=>[8,6,3,2,7,5,4,1]=>[1,1,1,2,1,1,1]=>11110111=>2 [3,1,6,2,4,7,8,5]=>[6,8,3,7,5,2,1,4]=>[2,2,1,1,2]=>10101110=>5 [3,6,1,2,4,7,8,5]=>[6,3,8,7,5,2,1,4]=>[1,2,1,1,1,2]=>11011110=>3 [3,1,2,6,4,7,8,5]=>[6,8,7,3,5,2,1,4]=>[2,1,2,1,2]=>10110110=>5 [1,3,2,6,4,7,8,5]=>[8,6,7,3,5,2,1,4]=>[1,2,2,1,2]=>11010110=>5 [1,3,6,2,4,7,8,5]=>[8,6,3,7,5,2,1,4]=>[1,1,2,1,1,2]=>11101110=>3 [3,1,2,6,7,4,8,5]=>[6,8,7,3,2,5,1,4]=>[2,1,1,2,2]=>10111010=>5 [1,3,6,2,7,4,8,5]=>[8,6,3,7,2,5,1,4]=>[1,1,2,2,2]=>11101010=>5 [1,3,6,7,2,4,8,5]=>[8,6,3,2,7,5,1,4]=>[1,1,1,2,1,2]=>11110110=>3 [3,1,2,6,7,8,4,5]=>[6,8,7,3,2,1,5,4]=>[2,1,1,1,2,1]=>10111101=>4 [1,3,2,6,7,8,4,5]=>[8,6,7,3,2,1,5,4]=>[1,2,1,1,2,1]=>11011101=>4 [1,3,6,2,7,8,4,5]=>[8,6,3,7,2,1,5,4]=>[1,1,2,1,2,1]=>11101101=>4 [1,3,6,7,2,8,4,5]=>[8,6,3,2,7,1,5,4]=>[1,1,1,2,2,1]=>11110101=>4 [1,3,6,7,8,2,4,5]=>[8,6,3,2,1,7,5,4]=>[1,1,1,1,2,1,1]=>11111011=>2 [3,1,6,2,8,4,5,7]=>[6,8,3,7,1,5,4,2]=>[2,2,2,1,1]=>10101011=>6 [3,6,1,2,8,4,5,7]=>[6,3,8,7,1,5,4,2]=>[1,2,1,2,1,1]=>11011011=>4 [3,1,6,8,2,4,5,7]=>[6,8,3,1,7,5,4,2]=>[2,1,2,1,1,1]=>10110111=>4 [3,6,1,8,2,4,5,7]=>[6,3,8,1,7,5,4,2]=>[1,2,2,1,1,1]=>11010111=>4 [3,6,8,1,2,4,5,7]=>[6,3,1,8,7,5,4,2]=>[1,1,2,1,1,1,1]=>11101111=>2 [3,1,6,2,4,8,5,7]=>[6,8,3,7,5,1,4,2]=>[2,2,1,2,1]=>10101101=>6 [3,6,1,2,4,8,5,7]=>[6,3,8,7,5,1,4,2]=>[1,2,1,1,2,1]=>11011101=>4 [3,1,2,6,4,8,5,7]=>[6,8,7,3,5,1,4,2]=>[2,1,2,2,1]=>10110101=>6 [1,3,2,6,4,8,5,7]=>[8,6,7,3,5,1,4,2]=>[1,2,2,2,1]=>11010101=>6 [1,3,6,2,4,8,5,7]=>[8,6,3,7,5,1,4,2]=>[1,1,2,1,2,1]=>11101101=>4 [3,1,2,6,8,4,5,7]=>[6,8,7,3,1,5,4,2]=>[2,1,1,2,1,1]=>10111011=>4 [1,3,6,2,8,4,5,7]=>[8,6,3,7,1,5,4,2]=>[1,1,2,2,1,1]=>11101011=>4 [1,3,6,8,2,4,5,7]=>[8,6,3,1,7,5,4,2]=>[1,1,1,2,1,1,1]=>11110111=>2 [3,1,6,2,4,5,8,7]=>[6,8,3,7,5,4,1,2]=>[2,2,1,1,2]=>10101110=>5 [3,6,1,2,4,5,8,7]=>[6,3,8,7,5,4,1,2]=>[1,2,1,1,1,2]=>11011110=>3 [3,1,2,6,4,5,8,7]=>[6,8,7,3,5,4,1,2]=>[2,1,2,1,2]=>10110110=>5 [3,1,2,4,6,5,8,7]=>[6,8,7,5,3,4,1,2]=>[2,1,1,2,2]=>10111010=>5 [3,1,2,4,6,8,5,7]=>[6,8,7,5,3,1,4,2]=>[2,1,1,1,2,1]=>10111101=>4 [1,3,2,4,6,8,5,7]=>[8,6,7,5,3,1,4,2]=>[1,2,1,1,2,1]=>11011101=>4 [1,3,4,2,6,8,5,7]=>[8,6,5,7,3,1,4,2]=>[1,1,2,1,2,1]=>11101101=>4 [1,3,4,6,2,8,5,7]=>[8,6,5,3,7,1,4,2]=>[1,1,1,2,2,1]=>11110101=>4 [1,3,4,6,8,2,5,7]=>[8,6,5,3,1,7,4,2]=>[1,1,1,1,2,1,1]=>11111011=>2 [3,6,1,2,4,5,7,8]=>[6,3,8,7,5,4,2,1]=>[1,2,1,1,1,1,1]=>11011111=>2 [3,1,2,6,4,5,7,8]=>[6,8,7,3,5,4,2,1]=>[2,1,2,1,1,1]=>10110111=>4 [1,3,2,6,4,5,7,8]=>[8,6,7,3,5,4,2,1]=>[1,2,2,1,1,1]=>11010111=>4 [1,3,6,2,4,5,7,8]=>[8,6,3,7,5,4,2,1]=>[1,1,2,1,1,1,1]=>11101111=>2 [3,1,2,4,6,5,7,8]=>[6,8,7,5,3,4,2,1]=>[2,1,1,2,1,1]=>10111011=>4 [1,3,4,6,2,5,7,8]=>[8,6,5,3,7,4,2,1]=>[1,1,1,2,1,1,1]=>11110111=>2 [3,1,2,4,6,7,5,8]=>[6,8,7,5,3,2,4,1]=>[2,1,1,1,2,1]=>10111101=>4 [1,3,4,6,2,7,5,8]=>[8,6,5,3,7,2,4,1]=>[1,1,1,2,2,1]=>11110101=>4 [3,1,2,4,6,7,8,5]=>[6,8,7,5,3,2,1,4]=>[2,1,1,1,1,2]=>10111110=>3 [1,3,4,6,2,7,8,5]=>[8,6,5,3,7,2,1,4]=>[1,1,1,2,1,2]=>11110110=>3 [1,3,4,6,7,2,8,5]=>[8,6,5,3,2,7,1,4]=>[1,1,1,1,2,2]=>11111010=>3 [1,3,4,6,7,8,2,5]=>[8,6,5,3,2,1,7,4]=>[1,1,1,1,1,2,1]=>11111101=>2 [3,1,7,2,8,4,5,6]=>[6,8,2,7,1,5,4,3]=>[2,2,2,1,1]=>10101011=>6 [3,7,1,2,8,4,5,6]=>[6,2,8,7,1,5,4,3]=>[1,2,1,2,1,1]=>11011011=>4 [3,1,7,8,2,4,5,6]=>[6,8,2,1,7,5,4,3]=>[2,1,2,1,1,1]=>10110111=>4 [3,7,1,8,2,4,5,6]=>[6,2,8,1,7,5,4,3]=>[1,2,2,1,1,1]=>11010111=>4 [3,7,8,1,2,4,5,6]=>[6,2,1,8,7,5,4,3]=>[1,1,2,1,1,1,1]=>11101111=>2 [3,1,7,2,4,8,5,6]=>[6,8,2,7,5,1,4,3]=>[2,2,1,2,1]=>10101101=>6 [3,7,1,2,4,8,5,6]=>[6,2,8,7,5,1,4,3]=>[1,2,1,1,2,1]=>11011101=>4 [3,1,2,7,4,8,5,6]=>[6,8,7,2,5,1,4,3]=>[2,1,2,2,1]=>10110101=>6 [1,3,2,7,4,8,5,6]=>[8,6,7,2,5,1,4,3]=>[1,2,2,2,1]=>11010101=>6 [1,3,7,2,4,8,5,6]=>[8,6,2,7,5,1,4,3]=>[1,1,2,1,2,1]=>11101101=>4 [3,1,2,7,8,4,5,6]=>[6,8,7,2,1,5,4,3]=>[2,1,1,2,1,1]=>10111011=>4 [1,3,7,2,8,4,5,6]=>[8,6,2,7,1,5,4,3]=>[1,1,2,2,1,1]=>11101011=>4 [1,3,7,8,2,4,5,6]=>[8,6,2,1,7,5,4,3]=>[1,1,1,2,1,1,1]=>11110111=>2 [3,1,7,2,4,5,8,6]=>[6,8,2,7,5,4,1,3]=>[2,2,1,1,2]=>10101110=>5 [3,7,1,2,4,5,8,6]=>[6,2,8,7,5,4,1,3]=>[1,2,1,1,1,2]=>11011110=>3 [3,1,2,7,4,5,8,6]=>[6,8,7,2,5,4,1,3]=>[2,1,2,1,2]=>10110110=>5 [1,3,2,7,4,5,8,6]=>[8,6,7,2,5,4,1,3]=>[1,2,2,1,2]=>11010110=>5 [1,3,7,2,4,5,8,6]=>[8,6,2,7,5,4,1,3]=>[1,1,2,1,1,2]=>11101110=>3 [3,1,2,4,7,5,8,6]=>[6,8,7,5,2,4,1,3]=>[2,1,1,2,2]=>10111010=>5 [1,3,4,2,7,5,8,6]=>[8,6,5,7,2,4,1,3]=>[1,1,2,2,2]=>11101010=>5 [1,3,4,7,2,5,8,6]=>[8,6,5,2,7,4,1,3]=>[1,1,1,2,1,2]=>11110110=>3 [3,1,2,4,7,8,5,6]=>[6,8,7,5,2,1,4,3]=>[2,1,1,1,2,1]=>10111101=>4 [1,3,2,4,7,8,5,6]=>[8,6,7,5,2,1,4,3]=>[1,2,1,1,2,1]=>11011101=>4 [1,3,4,2,7,8,5,6]=>[8,6,5,7,2,1,4,3]=>[1,1,2,1,2,1]=>11101101=>4 [1,3,4,7,2,8,5,6]=>[8,6,5,2,7,1,4,3]=>[1,1,1,2,2,1]=>11110101=>4 [1,3,4,7,8,2,5,6]=>[8,6,5,2,1,7,4,3]=>[1,1,1,1,2,1,1]=>11111011=>2 [3,1,7,2,4,5,6,8]=>[6,8,2,7,5,4,3,1]=>[2,2,1,1,1,1]=>10101111=>4 [3,7,1,2,4,5,6,8]=>[6,2,8,7,5,4,3,1]=>[1,2,1,1,1,1,1]=>11011111=>2 [3,1,2,7,4,5,6,8]=>[6,8,7,2,5,4,3,1]=>[2,1,2,1,1,1]=>10110111=>4 [1,3,2,7,4,5,6,8]=>[8,6,7,2,5,4,3,1]=>[1,2,2,1,1,1]=>11010111=>4 [1,3,7,2,4,5,6,8]=>[8,6,2,7,5,4,3,1]=>[1,1,2,1,1,1,1]=>11101111=>2 [3,1,2,4,7,5,6,8]=>[6,8,7,5,2,4,3,1]=>[2,1,1,2,1,1]=>10111011=>4 [1,3,2,4,7,5,6,8]=>[8,6,7,5,2,4,3,1]=>[1,2,1,2,1,1]=>11011011=>4 [1,3,4,2,7,5,6,8]=>[8,6,5,7,2,4,3,1]=>[1,1,2,2,1,1]=>11101011=>4 [1,3,4,7,2,5,6,8]=>[8,6,5,2,7,4,3,1]=>[1,1,1,2,1,1,1]=>11110111=>2 [3,1,2,4,5,7,6,8]=>[6,8,7,5,4,2,3,1]=>[2,1,1,1,2,1]=>10111101=>4 [1,3,4,5,7,2,6,8]=>[8,6,5,4,2,7,3,1]=>[1,1,1,1,2,1,1]=>11111011=>2 [3,1,2,4,5,7,8,6]=>[6,8,7,5,4,2,1,3]=>[2,1,1,1,1,2]=>10111110=>3 [1,3,4,5,7,2,8,6]=>[8,6,5,4,2,7,1,3]=>[1,1,1,1,2,2]=>11111010=>3 [1,3,4,5,7,8,2,6]=>[8,6,5,4,2,1,7,3]=>[1,1,1,1,1,2,1]=>11111101=>2 [3,1,8,2,4,5,6,7]=>[6,8,1,7,5,4,3,2]=>[2,2,1,1,1,1]=>10101111=>4 [3,8,1,2,4,5,6,7]=>[6,1,8,7,5,4,3,2]=>[1,2,1,1,1,1,1]=>11011111=>2 [3,1,2,8,4,5,6,7]=>[6,8,7,1,5,4,3,2]=>[2,1,2,1,1,1]=>10110111=>4 [1,3,2,8,4,5,6,7]=>[8,6,7,1,5,4,3,2]=>[1,2,2,1,1,1]=>11010111=>4 [1,3,8,2,4,5,6,7]=>[8,6,1,7,5,4,3,2]=>[1,1,2,1,1,1,1]=>11101111=>2 [3,1,2,4,8,5,6,7]=>[6,8,7,5,1,4,3,2]=>[2,1,1,2,1,1]=>10111011=>4 [1,3,2,4,8,5,6,7]=>[8,6,7,5,1,4,3,2]=>[1,2,1,2,1,1]=>11011011=>4 [1,3,4,2,8,5,6,7]=>[8,6,5,7,1,4,3,2]=>[1,1,2,2,1,1]=>11101011=>4 [1,3,4,8,2,5,6,7]=>[8,6,5,1,7,4,3,2]=>[1,1,1,2,1,1,1]=>11110111=>2 [3,1,2,4,5,8,6,7]=>[6,8,7,5,4,1,3,2]=>[2,1,1,1,2,1]=>10111101=>4 [1,3,2,4,5,8,6,7]=>[8,6,7,5,4,1,3,2]=>[1,2,1,1,2,1]=>11011101=>4 [1,3,4,2,5,8,6,7]=>[8,6,5,7,4,1,3,2]=>[1,1,2,1,2,1]=>11101101=>4 [1,3,4,5,2,8,6,7]=>[8,6,5,4,7,1,3,2]=>[1,1,1,2,2,1]=>11110101=>4 [1,3,4,5,8,2,6,7]=>[8,6,5,4,1,7,3,2]=>[1,1,1,1,2,1,1]=>11111011=>2 [3,1,2,4,5,6,8,7]=>[6,8,7,5,4,3,1,2]=>[2,1,1,1,1,2]=>10111110=>3 [1,3,4,5,6,8,2,7]=>[8,6,5,4,3,1,7,2]=>[1,1,1,1,1,2,1]=>11111101=>2 [4,1,5,2,6,3,8,7]=>[5,8,4,7,3,6,1,2]=>[2,2,2,2]=>10101010=>7 [4,5,1,2,6,3,8,7]=>[5,4,8,7,3,6,1,2]=>[1,2,1,2,2]=>11011010=>5 [4,1,5,6,2,3,8,7]=>[5,8,4,3,7,6,1,2]=>[2,1,2,1,2]=>10110110=>5 [4,5,1,6,2,3,8,7]=>[5,4,8,3,7,6,1,2]=>[1,2,2,1,2]=>11010110=>5 [4,5,6,1,2,3,8,7]=>[5,4,3,8,7,6,1,2]=>[1,1,2,1,1,2]=>11101110=>3 [4,1,5,2,6,8,3,7]=>[5,8,4,7,3,1,6,2]=>[2,2,1,2,1]=>10101101=>6 [4,1,5,6,2,8,3,7]=>[5,8,4,3,7,1,6,2]=>[2,1,2,2,1]=>10110101=>6 [4,5,1,6,2,8,3,7]=>[5,4,8,3,7,1,6,2]=>[1,2,2,2,1]=>11010101=>6 [4,5,6,1,2,8,3,7]=>[5,4,3,8,7,1,6,2]=>[1,1,2,1,2,1]=>11101101=>4 [4,1,5,6,8,2,3,7]=>[5,8,4,3,1,7,6,2]=>[2,1,1,2,1,1]=>10111011=>4 [4,5,1,6,8,2,3,7]=>[5,4,8,3,1,7,6,2]=>[1,2,1,2,1,1]=>11011011=>4 [4,5,6,1,8,2,3,7]=>[5,4,3,8,1,7,6,2]=>[1,1,2,2,1,1]=>11101011=>4 [4,5,6,8,1,2,3,7]=>[5,4,3,1,8,7,6,2]=>[1,1,1,2,1,1,1]=>11110111=>2 [4,1,5,2,6,3,7,8]=>[5,8,4,7,3,6,2,1]=>[2,2,2,1,1]=>10101011=>6 [4,5,1,2,6,3,7,8]=>[5,4,8,7,3,6,2,1]=>[1,2,1,2,1,1]=>11011011=>4 [4,1,5,6,2,3,7,8]=>[5,8,4,3,7,6,2,1]=>[2,1,2,1,1,1]=>10110111=>4 [4,1,5,2,6,7,3,8]=>[5,8,4,7,3,2,6,1]=>[2,2,1,2,1]=>10101101=>6 [4,5,1,2,6,7,3,8]=>[5,4,8,7,3,2,6,1]=>[1,2,1,1,2,1]=>11011101=>4 [4,1,5,6,2,7,3,8]=>[5,8,4,3,7,2,6,1]=>[2,1,2,2,1]=>10110101=>6 [4,5,1,6,2,7,3,8]=>[5,4,8,3,7,2,6,1]=>[1,2,2,2,1]=>11010101=>6 [4,1,5,6,7,2,3,8]=>[5,8,4,3,2,7,6,1]=>[2,1,1,2,1,1]=>10111011=>4 [4,5,1,6,7,2,3,8]=>[5,4,8,3,2,7,6,1]=>[1,2,1,2,1,1]=>11011011=>4 [4,5,6,1,7,2,3,8]=>[5,4,3,8,2,7,6,1]=>[1,1,2,2,1,1]=>11101011=>4 [4,1,5,2,6,7,8,3]=>[5,8,4,7,3,2,1,6]=>[2,2,1,1,2]=>10101110=>5 [4,5,1,2,6,7,8,3]=>[5,4,8,7,3,2,1,6]=>[1,2,1,1,1,2]=>11011110=>3 [4,1,5,6,2,7,8,3]=>[5,8,4,3,7,2,1,6]=>[2,1,2,1,2]=>10110110=>5 [4,5,1,6,2,7,8,3]=>[5,4,8,3,7,2,1,6]=>[1,2,2,1,2]=>11010110=>5 [4,5,6,1,2,7,8,3]=>[5,4,3,8,7,2,1,6]=>[1,1,2,1,1,2]=>11101110=>3 [4,1,5,6,7,2,8,3]=>[5,8,4,3,2,7,1,6]=>[2,1,1,2,2]=>10111010=>5 [4,5,1,6,7,2,8,3]=>[5,4,8,3,2,7,1,6]=>[1,2,1,2,2]=>11011010=>5 [4,5,6,1,7,2,8,3]=>[5,4,3,8,2,7,1,6]=>[1,1,2,2,2]=>11101010=>5 [4,5,6,7,1,2,8,3]=>[5,4,3,2,8,7,1,6]=>[1,1,1,2,1,2]=>11110110=>3 [4,1,5,6,7,8,2,3]=>[5,8,4,3,2,1,7,6]=>[2,1,1,1,2,1]=>10111101=>4 [4,5,1,6,7,8,2,3]=>[5,4,8,3,2,1,7,6]=>[1,2,1,1,2,1]=>11011101=>4 [4,5,6,1,7,8,2,3]=>[5,4,3,8,2,1,7,6]=>[1,1,2,1,2,1]=>11101101=>4 [4,5,6,7,1,8,2,3]=>[5,4,3,2,8,1,7,6]=>[1,1,1,2,2,1]=>11110101=>4 [4,1,5,2,7,3,8,6]=>[5,8,4,7,2,6,1,3]=>[2,2,2,2]=>10101010=>7 [4,5,1,2,7,3,8,6]=>[5,4,8,7,2,6,1,3]=>[1,2,1,2,2]=>11011010=>5 [4,1,5,7,2,3,8,6]=>[5,8,4,2,7,6,1,3]=>[2,1,2,1,2]=>10110110=>5 [4,5,1,7,2,3,8,6]=>[5,4,8,2,7,6,1,3]=>[1,2,2,1,2]=>11010110=>5 [4,5,7,1,2,3,8,6]=>[5,4,2,8,7,6,1,3]=>[1,1,2,1,1,2]=>11101110=>3 [4,1,5,2,7,8,3,6]=>[5,8,4,7,2,1,6,3]=>[2,2,1,2,1]=>10101101=>6 [4,5,1,2,7,8,3,6]=>[5,4,8,7,2,1,6,3]=>[1,2,1,1,2,1]=>11011101=>4 [4,1,5,7,2,8,3,6]=>[5,8,4,2,7,1,6,3]=>[2,1,2,2,1]=>10110101=>6 [4,5,1,7,2,8,3,6]=>[5,4,8,2,7,1,6,3]=>[1,2,2,2,1]=>11010101=>6 [4,5,7,1,2,8,3,6]=>[5,4,2,8,7,1,6,3]=>[1,1,2,1,2,1]=>11101101=>4 [4,1,5,7,8,2,3,6]=>[5,8,4,2,1,7,6,3]=>[2,1,1,2,1,1]=>10111011=>4 [4,5,1,7,8,2,3,6]=>[5,4,8,2,1,7,6,3]=>[1,2,1,2,1,1]=>11011011=>4 [4,5,7,1,8,2,3,6]=>[5,4,2,8,1,7,6,3]=>[1,1,2,2,1,1]=>11101011=>4 [4,5,7,8,1,2,3,6]=>[5,4,2,1,8,7,6,3]=>[1,1,1,2,1,1,1]=>11110111=>2 [4,1,5,2,7,3,6,8]=>[5,8,4,7,2,6,3,1]=>[2,2,2,1,1]=>10101011=>6 [4,5,1,2,7,3,6,8]=>[5,4,8,7,2,6,3,1]=>[1,2,1,2,1,1]=>11011011=>4 [4,1,5,7,2,3,6,8]=>[5,8,4,2,7,6,3,1]=>[2,1,2,1,1,1]=>10110111=>4 [4,5,1,7,2,3,6,8]=>[5,4,8,2,7,6,3,1]=>[1,2,2,1,1,1]=>11010111=>4 [4,5,7,1,2,3,6,8]=>[5,4,2,8,7,6,3,1]=>[1,1,2,1,1,1,1]=>11101111=>2 [4,1,5,2,3,7,6,8]=>[5,8,4,7,6,2,3,1]=>[2,2,1,2,1]=>10101101=>6 [4,5,1,2,3,7,6,8]=>[5,4,8,7,6,2,3,1]=>[1,2,1,1,2,1]=>11011101=>4 [4,1,2,5,3,7,6,8]=>[5,8,7,4,6,2,3,1]=>[2,1,2,2,1]=>10110101=>6 [1,4,2,5,3,7,6,8]=>[8,5,7,4,6,2,3,1]=>[1,2,2,2,1]=>11010101=>6 [4,1,2,5,7,3,6,8]=>[5,8,7,4,2,6,3,1]=>[2,1,1,2,1,1]=>10111011=>4 [1,4,2,5,7,3,6,8]=>[8,5,7,4,2,6,3,1]=>[1,2,1,2,1,1]=>11011011=>4 [1,4,5,2,7,3,6,8]=>[8,5,4,7,2,6,3,1]=>[1,1,2,2,1,1]=>11101011=>4 [1,4,5,7,2,3,6,8]=>[8,5,4,2,7,6,3,1]=>[1,1,1,2,1,1,1]=>11110111=>2 [4,1,5,2,3,7,8,6]=>[5,8,4,7,6,2,1,3]=>[2,2,1,1,2]=>10101110=>5 [4,5,1,2,3,7,8,6]=>[5,4,8,7,6,2,1,3]=>[1,2,1,1,1,2]=>11011110=>3 [4,1,2,5,3,7,8,6]=>[5,8,7,4,6,2,1,3]=>[2,1,2,1,2]=>10110110=>5 [1,4,2,5,3,7,8,6]=>[8,5,7,4,6,2,1,3]=>[1,2,2,1,2]=>11010110=>5 [1,4,5,2,3,7,8,6]=>[8,5,4,7,6,2,1,3]=>[1,1,2,1,1,2]=>11101110=>3 [4,1,2,5,7,3,8,6]=>[5,8,7,4,2,6,1,3]=>[2,1,1,2,2]=>10111010=>5 [1,4,2,5,7,3,8,6]=>[8,5,7,4,2,6,1,3]=>[1,2,1,2,2]=>11011010=>5 [1,4,5,2,7,3,8,6]=>[8,5,4,7,2,6,1,3]=>[1,1,2,2,2]=>11101010=>5 [1,4,5,7,2,3,8,6]=>[8,5,4,2,7,6,1,3]=>[1,1,1,2,1,2]=>11110110=>3 [4,1,2,5,7,8,3,6]=>[5,8,7,4,2,1,6,3]=>[2,1,1,1,2,1]=>10111101=>4 [1,4,2,5,7,8,3,6]=>[8,5,7,4,2,1,6,3]=>[1,2,1,1,2,1]=>11011101=>4 [1,4,5,2,7,8,3,6]=>[8,5,4,7,2,1,6,3]=>[1,1,2,1,2,1]=>11101101=>4 [1,4,5,7,2,8,3,6]=>[8,5,4,2,7,1,6,3]=>[1,1,1,2,2,1]=>11110101=>4 [1,4,5,7,8,2,3,6]=>[8,5,4,2,1,7,6,3]=>[1,1,1,1,2,1,1]=>11111011=>2 [4,1,5,2,8,3,6,7]=>[5,8,4,7,1,6,3,2]=>[2,2,2,1,1]=>10101011=>6 [4,5,1,2,8,3,6,7]=>[5,4,8,7,1,6,3,2]=>[1,2,1,2,1,1]=>11011011=>4 [4,1,5,8,2,3,6,7]=>[5,8,4,1,7,6,3,2]=>[2,1,2,1,1,1]=>10110111=>4 [4,5,1,8,2,3,6,7]=>[5,4,8,1,7,6,3,2]=>[1,2,2,1,1,1]=>11010111=>4 [4,5,8,1,2,3,6,7]=>[5,4,1,8,7,6,3,2]=>[1,1,2,1,1,1,1]=>11101111=>2 [4,1,5,2,3,8,6,7]=>[5,8,4,7,6,1,3,2]=>[2,2,1,2,1]=>10101101=>6 [4,5,1,2,3,8,6,7]=>[5,4,8,7,6,1,3,2]=>[1,2,1,1,2,1]=>11011101=>4 [4,1,2,5,3,8,6,7]=>[5,8,7,4,6,1,3,2]=>[2,1,2,2,1]=>10110101=>6 [1,4,2,5,3,8,6,7]=>[8,5,7,4,6,1,3,2]=>[1,2,2,2,1]=>11010101=>6 [4,1,2,5,8,3,6,7]=>[5,8,7,4,1,6,3,2]=>[2,1,1,2,1,1]=>10111011=>4 [1,4,2,5,8,3,6,7]=>[8,5,7,4,1,6,3,2]=>[1,2,1,2,1,1]=>11011011=>4 [1,4,5,2,8,3,6,7]=>[8,5,4,7,1,6,3,2]=>[1,1,2,2,1,1]=>11101011=>4 [1,4,5,8,2,3,6,7]=>[8,5,4,1,7,6,3,2]=>[1,1,1,2,1,1,1]=>11110111=>2 [4,1,5,2,3,6,8,7]=>[5,8,4,7,6,3,1,2]=>[2,2,1,1,2]=>10101110=>5 [4,5,1,2,3,6,8,7]=>[5,4,8,7,6,3,1,2]=>[1,2,1,1,1,2]=>11011110=>3 [4,1,2,5,3,6,8,7]=>[5,8,7,4,6,3,1,2]=>[2,1,2,1,2]=>10110110=>5 [1,4,5,2,3,6,8,7]=>[8,5,4,7,6,3,1,2]=>[1,1,2,1,1,2]=>11101110=>3 [4,1,2,5,6,3,8,7]=>[5,8,7,4,3,6,1,2]=>[2,1,1,2,2]=>10111010=>5 [1,4,2,5,6,3,8,7]=>[8,5,7,4,3,6,1,2]=>[1,2,1,2,2]=>11011010=>5 [1,4,5,2,6,3,8,7]=>[8,5,4,7,3,6,1,2]=>[1,1,2,2,2]=>11101010=>5 [1,4,5,6,2,3,8,7]=>[8,5,4,3,7,6,1,2]=>[1,1,1,2,1,2]=>11110110=>3 [4,1,2,5,6,8,3,7]=>[5,8,7,4,3,1,6,2]=>[2,1,1,1,2,1]=>10111101=>4 [1,4,2,5,6,8,3,7]=>[8,5,7,4,3,1,6,2]=>[1,2,1,1,2,1]=>11011101=>4 [1,4,5,2,6,8,3,7]=>[8,5,4,7,3,1,6,2]=>[1,1,2,1,2,1]=>11101101=>4 [1,4,5,6,2,8,3,7]=>[8,5,4,3,7,1,6,2]=>[1,1,1,2,2,1]=>11110101=>4 [1,4,5,6,8,2,3,7]=>[8,5,4,3,1,7,6,2]=>[1,1,1,1,2,1,1]=>11111011=>2 [4,1,5,2,3,6,7,8]=>[5,8,4,7,6,3,2,1]=>[2,2,1,1,1,1]=>10101111=>4 [4,1,2,5,3,6,7,8]=>[5,8,7,4,6,3,2,1]=>[2,1,2,1,1,1]=>10110111=>4 [1,4,2,5,3,6,7,8]=>[8,5,7,4,6,3,2,1]=>[1,2,2,1,1,1]=>11010111=>4 [1,4,5,2,3,6,7,8]=>[8,5,4,7,6,3,2,1]=>[1,1,2,1,1,1,1]=>11101111=>2 [4,1,2,5,6,3,7,8]=>[5,8,7,4,3,6,2,1]=>[2,1,1,2,1,1]=>10111011=>4 [1,4,2,5,6,3,7,8]=>[8,5,7,4,3,6,2,1]=>[1,2,1,2,1,1]=>11011011=>4 [1,4,5,2,6,3,7,8]=>[8,5,4,7,3,6,2,1]=>[1,1,2,2,1,1]=>11101011=>4 [1,4,5,6,2,3,7,8]=>[8,5,4,3,7,6,2,1]=>[1,1,1,2,1,1,1]=>11110111=>2 [4,1,2,5,6,7,3,8]=>[5,8,7,4,3,2,6,1]=>[2,1,1,1,2,1]=>10111101=>4 [1,4,2,5,6,7,3,8]=>[8,5,7,4,3,2,6,1]=>[1,2,1,1,2,1]=>11011101=>4 [1,4,5,6,2,7,3,8]=>[8,5,4,3,7,2,6,1]=>[1,1,1,2,2,1]=>11110101=>4 [1,4,5,6,7,2,3,8]=>[8,5,4,3,2,7,6,1]=>[1,1,1,1,2,1,1]=>11111011=>2 [4,1,2,5,6,7,8,3]=>[5,8,7,4,3,2,1,6]=>[2,1,1,1,1,2]=>10111110=>3 [1,4,2,5,6,7,8,3]=>[8,5,7,4,3,2,1,6]=>[1,2,1,1,1,2]=>11011110=>3 [1,4,5,2,6,7,8,3]=>[8,5,4,7,3,2,1,6]=>[1,1,2,1,1,2]=>11101110=>3 [1,4,5,6,2,7,8,3]=>[8,5,4,3,7,2,1,6]=>[1,1,1,2,1,2]=>11110110=>3 [1,4,5,6,7,2,8,3]=>[8,5,4,3,2,7,1,6]=>[1,1,1,1,2,2]=>11111010=>3 [1,4,5,6,7,8,2,3]=>[8,5,4,3,2,1,7,6]=>[1,1,1,1,1,2,1]=>11111101=>2 [4,1,6,2,7,3,8,5]=>[5,8,3,7,2,6,1,4]=>[2,2,2,2]=>10101010=>7 [4,6,1,2,7,3,8,5]=>[5,3,8,7,2,6,1,4]=>[1,2,1,2,2]=>11011010=>5 [4,1,6,7,2,3,8,5]=>[5,8,3,2,7,6,1,4]=>[2,1,2,1,2]=>10110110=>5 [4,6,1,7,2,3,8,5]=>[5,3,8,2,7,6,1,4]=>[1,2,2,1,2]=>11010110=>5 [4,1,6,2,7,8,3,5]=>[5,8,3,7,2,1,6,4]=>[2,2,1,2,1]=>10101101=>6 [4,6,1,2,7,8,3,5]=>[5,3,8,7,2,1,6,4]=>[1,2,1,1,2,1]=>11011101=>4 [4,1,6,7,2,8,3,5]=>[5,8,3,2,7,1,6,4]=>[2,1,2,2,1]=>10110101=>6 [4,6,1,7,2,8,3,5]=>[5,3,8,2,7,1,6,4]=>[1,2,2,2,1]=>11010101=>6 [4,6,7,1,2,8,3,5]=>[5,3,2,8,7,1,6,4]=>[1,1,2,1,2,1]=>11101101=>4 [4,1,6,7,8,2,3,5]=>[5,8,3,2,1,7,6,4]=>[2,1,1,2,1,1]=>10111011=>4 [4,6,1,7,8,2,3,5]=>[5,3,8,2,1,7,6,4]=>[1,2,1,2,1,1]=>11011011=>4 [4,6,7,1,8,2,3,5]=>[5,3,2,8,1,7,6,4]=>[1,1,2,2,1,1]=>11101011=>4 [4,6,7,8,1,2,3,5]=>[5,3,2,1,8,7,6,4]=>[1,1,1,2,1,1,1]=>11110111=>2 [4,1,6,2,7,3,5,8]=>[5,8,3,7,2,6,4,1]=>[2,2,2,1,1]=>10101011=>6 [4,6,1,2,7,3,5,8]=>[5,3,8,7,2,6,4,1]=>[1,2,1,2,1,1]=>11011011=>4 [4,1,6,7,2,3,5,8]=>[5,8,3,2,7,6,4,1]=>[2,1,2,1,1,1]=>10110111=>4 [4,6,1,7,2,3,5,8]=>[5,3,8,2,7,6,4,1]=>[1,2,2,1,1,1]=>11010111=>4 [4,6,7,1,2,3,5,8]=>[5,3,2,8,7,6,4,1]=>[1,1,2,1,1,1,1]=>11101111=>2 [4,1,6,2,3,7,5,8]=>[5,8,3,7,6,2,4,1]=>[2,2,1,2,1]=>10101101=>6 [4,6,1,2,3,7,5,8]=>[5,3,8,7,6,2,4,1]=>[1,2,1,1,2,1]=>11011101=>4 [4,1,2,6,3,7,5,8]=>[5,8,7,3,6,2,4,1]=>[2,1,2,2,1]=>10110101=>6 [1,4,2,6,3,7,5,8]=>[8,5,7,3,6,2,4,1]=>[1,2,2,2,1]=>11010101=>6 [1,4,6,2,3,7,5,8]=>[8,5,3,7,6,2,4,1]=>[1,1,2,1,2,1]=>11101101=>4 [4,1,2,6,7,3,5,8]=>[5,8,7,3,2,6,4,1]=>[2,1,1,2,1,1]=>10111011=>4 [1,4,2,6,7,3,5,8]=>[8,5,7,3,2,6,4,1]=>[1,2,1,2,1,1]=>11011011=>4 [1,4,6,2,7,3,5,8]=>[8,5,3,7,2,6,4,1]=>[1,1,2,2,1,1]=>11101011=>4 [1,4,6,7,2,3,5,8]=>[8,5,3,2,7,6,4,1]=>[1,1,1,2,1,1,1]=>11110111=>2 [4,1,6,2,3,7,8,5]=>[5,8,3,7,6,2,1,4]=>[2,2,1,1,2]=>10101110=>5 [4,6,1,2,3,7,8,5]=>[5,3,8,7,6,2,1,4]=>[1,2,1,1,1,2]=>11011110=>3 [4,1,2,6,3,7,8,5]=>[5,8,7,3,6,2,1,4]=>[2,1,2,1,2]=>10110110=>5 [1,4,2,6,3,7,8,5]=>[8,5,7,3,6,2,1,4]=>[1,2,2,1,2]=>11010110=>5 [1,4,6,2,3,7,8,5]=>[8,5,3,7,6,2,1,4]=>[1,1,2,1,1,2]=>11101110=>3 [4,1,2,6,7,3,8,5]=>[5,8,7,3,2,6,1,4]=>[2,1,1,2,2]=>10111010=>5 [1,4,2,6,7,3,8,5]=>[8,5,7,3,2,6,1,4]=>[1,2,1,2,2]=>11011010=>5 [1,4,6,2,7,3,8,5]=>[8,5,3,7,2,6,1,4]=>[1,1,2,2,2]=>11101010=>5 [1,4,6,7,2,3,8,5]=>[8,5,3,2,7,6,1,4]=>[1,1,1,2,1,2]=>11110110=>3 [4,1,2,6,7,8,3,5]=>[5,8,7,3,2,1,6,4]=>[2,1,1,1,2,1]=>10111101=>4 [1,4,2,6,7,8,3,5]=>[8,5,7,3,2,1,6,4]=>[1,2,1,1,2,1]=>11011101=>4 [1,4,6,2,7,8,3,5]=>[8,5,3,7,2,1,6,4]=>[1,1,2,1,2,1]=>11101101=>4 [1,4,6,7,2,8,3,5]=>[8,5,3,2,7,1,6,4]=>[1,1,1,2,2,1]=>11110101=>4 [1,4,6,7,8,2,3,5]=>[8,5,3,2,1,7,6,4]=>[1,1,1,1,2,1,1]=>11111011=>2 [4,1,6,2,8,3,5,7]=>[5,8,3,7,1,6,4,2]=>[2,2,2,1,1]=>10101011=>6 [4,6,1,2,8,3,5,7]=>[5,3,8,7,1,6,4,2]=>[1,2,1,2,1,1]=>11011011=>4 [4,1,6,8,2,3,5,7]=>[5,8,3,1,7,6,4,2]=>[2,1,2,1,1,1]=>10110111=>4 [4,6,1,8,2,3,5,7]=>[5,3,8,1,7,6,4,2]=>[1,2,2,1,1,1]=>11010111=>4 [4,6,8,1,2,3,5,7]=>[5,3,1,8,7,6,4,2]=>[1,1,2,1,1,1,1]=>11101111=>2 [4,1,6,2,3,8,5,7]=>[5,8,3,7,6,1,4,2]=>[2,2,1,2,1]=>10101101=>6 [4,6,1,2,3,8,5,7]=>[5,3,8,7,6,1,4,2]=>[1,2,1,1,2,1]=>11011101=>4 [4,1,2,6,3,8,5,7]=>[5,8,7,3,6,1,4,2]=>[2,1,2,2,1]=>10110101=>6 [1,4,2,6,3,8,5,7]=>[8,5,7,3,6,1,4,2]=>[1,2,2,2,1]=>11010101=>6 [1,4,6,2,3,8,5,7]=>[8,5,3,7,6,1,4,2]=>[1,1,2,1,2,1]=>11101101=>4 [4,1,2,6,8,3,5,7]=>[5,8,7,3,1,6,4,2]=>[2,1,1,2,1,1]=>10111011=>4 [1,4,2,6,8,3,5,7]=>[8,5,7,3,1,6,4,2]=>[1,2,1,2,1,1]=>11011011=>4 [1,4,6,2,8,3,5,7]=>[8,5,3,7,1,6,4,2]=>[1,1,2,2,1,1]=>11101011=>4 [1,4,6,8,2,3,5,7]=>[8,5,3,1,7,6,4,2]=>[1,1,1,2,1,1,1]=>11110111=>2 [4,1,6,2,3,5,8,7]=>[5,8,3,7,6,4,1,2]=>[2,2,1,1,2]=>10101110=>5 [4,6,1,2,3,5,8,7]=>[5,3,8,7,6,4,1,2]=>[1,2,1,1,1,2]=>11011110=>3 [4,1,2,6,3,5,8,7]=>[5,8,7,3,6,4,1,2]=>[2,1,2,1,2]=>10110110=>5 [1,4,2,6,3,5,8,7]=>[8,5,7,3,6,4,1,2]=>[1,2,2,1,2]=>11010110=>5 [1,4,6,2,3,5,8,7]=>[8,5,3,7,6,4,1,2]=>[1,1,2,1,1,2]=>11101110=>3 [4,1,2,3,6,5,8,7]=>[5,8,7,6,3,4,1,2]=>[2,1,1,2,2]=>10111010=>5 [1,4,2,3,6,5,8,7]=>[8,5,7,6,3,4,1,2]=>[1,2,1,2,2]=>11011010=>5 [1,2,4,6,3,5,8,7]=>[8,7,5,3,6,4,1,2]=>[1,1,1,2,1,2]=>11110110=>3 [4,1,2,3,6,8,5,7]=>[5,8,7,6,3,1,4,2]=>[2,1,1,1,2,1]=>10111101=>4 [1,4,2,3,6,8,5,7]=>[8,5,7,6,3,1,4,2]=>[1,2,1,1,2,1]=>11011101=>4 [1,2,4,3,6,8,5,7]=>[8,7,5,6,3,1,4,2]=>[1,1,2,1,2,1]=>11101101=>4 [1,2,4,6,3,8,5,7]=>[8,7,5,3,6,1,4,2]=>[1,1,1,2,2,1]=>11110101=>4 [1,2,4,6,8,3,5,7]=>[8,7,5,3,1,6,4,2]=>[1,1,1,1,2,1,1]=>11111011=>2 [4,1,6,2,3,5,7,8]=>[5,8,3,7,6,4,2,1]=>[2,2,1,1,1,1]=>10101111=>4 [4,6,1,2,3,5,7,8]=>[5,3,8,7,6,4,2,1]=>[1,2,1,1,1,1,1]=>11011111=>2 [4,1,2,6,3,5,7,8]=>[5,8,7,3,6,4,2,1]=>[2,1,2,1,1,1]=>10110111=>4 [1,4,2,6,3,5,7,8]=>[8,5,7,3,6,4,2,1]=>[1,2,2,1,1,1]=>11010111=>4 [4,1,2,3,6,5,7,8]=>[5,8,7,6,3,4,2,1]=>[2,1,1,2,1,1]=>10111011=>4 [1,4,2,3,6,5,7,8]=>[8,5,7,6,3,4,2,1]=>[1,2,1,2,1,1]=>11011011=>4 [1,2,4,6,3,5,7,8]=>[8,7,5,3,6,4,2,1]=>[1,1,1,2,1,1,1]=>11110111=>2 [4,1,2,3,6,7,5,8]=>[5,8,7,6,3,2,4,1]=>[2,1,1,1,2,1]=>10111101=>4 [1,4,2,3,6,7,5,8]=>[8,5,7,6,3,2,4,1]=>[1,2,1,1,2,1]=>11011101=>4 [1,2,4,6,3,7,5,8]=>[8,7,5,3,6,2,4,1]=>[1,1,1,2,2,1]=>11110101=>4 [1,2,4,6,7,3,5,8]=>[8,7,5,3,2,6,4,1]=>[1,1,1,1,2,1,1]=>11111011=>2 [4,1,2,3,6,7,8,5]=>[5,8,7,6,3,2,1,4]=>[2,1,1,1,1,2]=>10111110=>3 [1,4,2,3,6,7,8,5]=>[8,5,7,6,3,2,1,4]=>[1,2,1,1,1,2]=>11011110=>3 [1,2,4,6,3,7,8,5]=>[8,7,5,3,6,2,1,4]=>[1,1,1,2,1,2]=>11110110=>3 [1,2,4,6,7,3,8,5]=>[8,7,5,3,2,6,1,4]=>[1,1,1,1,2,2]=>11111010=>3 [1,2,4,6,7,8,3,5]=>[8,7,5,3,2,1,6,4]=>[1,1,1,1,1,2,1]=>11111101=>2 [4,1,7,2,8,3,5,6]=>[5,8,2,7,1,6,4,3]=>[2,2,2,1,1]=>10101011=>6 [4,7,1,2,8,3,5,6]=>[5,2,8,7,1,6,4,3]=>[1,2,1,2,1,1]=>11011011=>4 [4,1,7,8,2,3,5,6]=>[5,8,2,1,7,6,4,3]=>[2,1,2,1,1,1]=>10110111=>4 [4,7,1,8,2,3,5,6]=>[5,2,8,1,7,6,4,3]=>[1,2,2,1,1,1]=>11010111=>4 [4,7,8,1,2,3,5,6]=>[5,2,1,8,7,6,4,3]=>[1,1,2,1,1,1,1]=>11101111=>2 [4,1,7,2,3,8,5,6]=>[5,8,2,7,6,1,4,3]=>[2,2,1,2,1]=>10101101=>6 [4,7,1,2,3,8,5,6]=>[5,2,8,7,6,1,4,3]=>[1,2,1,1,2,1]=>11011101=>4 [4,1,2,7,3,8,5,6]=>[5,8,7,2,6,1,4,3]=>[2,1,2,2,1]=>10110101=>6 [1,4,2,7,3,8,5,6]=>[8,5,7,2,6,1,4,3]=>[1,2,2,2,1]=>11010101=>6 [1,4,7,2,3,8,5,6]=>[8,5,2,7,6,1,4,3]=>[1,1,2,1,2,1]=>11101101=>4 [4,1,2,7,8,3,5,6]=>[5,8,7,2,1,6,4,3]=>[2,1,1,2,1,1]=>10111011=>4 [1,4,2,7,8,3,5,6]=>[8,5,7,2,1,6,4,3]=>[1,2,1,2,1,1]=>11011011=>4 [1,4,7,2,8,3,5,6]=>[8,5,2,7,1,6,4,3]=>[1,1,2,2,1,1]=>11101011=>4 [1,4,7,8,2,3,5,6]=>[8,5,2,1,7,6,4,3]=>[1,1,1,2,1,1,1]=>11110111=>2 [4,1,7,2,3,5,8,6]=>[5,8,2,7,6,4,1,3]=>[2,2,1,1,2]=>10101110=>5 [4,7,1,2,3,5,8,6]=>[5,2,8,7,6,4,1,3]=>[1,2,1,1,1,2]=>11011110=>3 [4,1,2,7,3,5,8,6]=>[5,8,7,2,6,4,1,3]=>[2,1,2,1,2]=>10110110=>5 [1,4,2,7,3,5,8,6]=>[8,5,7,2,6,4,1,3]=>[1,2,2,1,2]=>11010110=>5 [1,4,7,2,3,5,8,6]=>[8,5,2,7,6,4,1,3]=>[1,1,2,1,1,2]=>11101110=>3 [4,1,2,3,7,5,8,6]=>[5,8,7,6,2,4,1,3]=>[2,1,1,2,2]=>10111010=>5 [1,4,2,3,7,5,8,6]=>[8,5,7,6,2,4,1,3]=>[1,2,1,2,2]=>11011010=>5 [1,2,4,3,7,5,8,6]=>[8,7,5,6,2,4,1,3]=>[1,1,2,2,2]=>11101010=>5 [1,2,4,7,3,5,8,6]=>[8,7,5,2,6,4,1,3]=>[1,1,1,2,1,2]=>11110110=>3 [4,1,2,3,7,8,5,6]=>[5,8,7,6,2,1,4,3]=>[2,1,1,1,2,1]=>10111101=>4 [1,4,2,3,7,8,5,6]=>[8,5,7,6,2,1,4,3]=>[1,2,1,1,2,1]=>11011101=>4 [1,2,4,3,7,8,5,6]=>[8,7,5,6,2,1,4,3]=>[1,1,2,1,2,1]=>11101101=>4 [1,2,4,7,3,8,5,6]=>[8,7,5,2,6,1,4,3]=>[1,1,1,2,2,1]=>11110101=>4 [1,2,4,7,8,3,5,6]=>[8,7,5,2,1,6,4,3]=>[1,1,1,1,2,1,1]=>11111011=>2 [4,1,7,2,3,5,6,8]=>[5,8,2,7,6,4,3,1]=>[2,2,1,1,1,1]=>10101111=>4 [4,7,1,2,3,5,6,8]=>[5,2,8,7,6,4,3,1]=>[1,2,1,1,1,1,1]=>11011111=>2 [4,1,2,7,3,5,6,8]=>[5,8,7,2,6,4,3,1]=>[2,1,2,1,1,1]=>10110111=>4 [1,4,2,7,3,5,6,8]=>[8,5,7,2,6,4,3,1]=>[1,2,2,1,1,1]=>11010111=>4 [4,1,2,3,7,5,6,8]=>[5,8,7,6,2,4,3,1]=>[2,1,1,2,1,1]=>10111011=>4 [1,4,2,3,7,5,6,8]=>[8,5,7,6,2,4,3,1]=>[1,2,1,2,1,1]=>11011011=>4 [1,2,4,3,7,5,6,8]=>[8,7,5,6,2,4,3,1]=>[1,1,2,2,1,1]=>11101011=>4 [1,2,4,7,3,5,6,8]=>[8,7,5,2,6,4,3,1]=>[1,1,1,2,1,1,1]=>11110111=>2 [4,1,2,3,5,7,6,8]=>[5,8,7,6,4,2,3,1]=>[2,1,1,1,2,1]=>10111101=>4 [1,4,2,3,5,7,6,8]=>[8,5,7,6,4,2,3,1]=>[1,2,1,1,2,1]=>11011101=>4 [1,2,4,5,7,3,6,8]=>[8,7,5,4,2,6,3,1]=>[1,1,1,1,2,1,1]=>11111011=>2 [4,1,2,3,5,7,8,6]=>[5,8,7,6,4,2,1,3]=>[2,1,1,1,1,2]=>10111110=>3 [1,4,2,3,5,7,8,6]=>[8,5,7,6,4,2,1,3]=>[1,2,1,1,1,2]=>11011110=>3 [1,2,4,5,7,3,8,6]=>[8,7,5,4,2,6,1,3]=>[1,1,1,1,2,2]=>11111010=>3 [1,2,4,5,7,8,3,6]=>[8,7,5,4,2,1,6,3]=>[1,1,1,1,1,2,1]=>11111101=>2 [4,1,8,2,3,5,6,7]=>[5,8,1,7,6,4,3,2]=>[2,2,1,1,1,1]=>10101111=>4 [4,8,1,2,3,5,6,7]=>[5,1,8,7,6,4,3,2]=>[1,2,1,1,1,1,1]=>11011111=>2 [4,1,2,8,3,5,6,7]=>[5,8,7,1,6,4,3,2]=>[2,1,2,1,1,1]=>10110111=>4 [1,4,2,8,3,5,6,7]=>[8,5,7,1,6,4,3,2]=>[1,2,2,1,1,1]=>11010111=>4 [1,4,8,2,3,5,6,7]=>[8,5,1,7,6,4,3,2]=>[1,1,2,1,1,1,1]=>11101111=>2 [4,1,2,3,8,5,6,7]=>[5,8,7,6,1,4,3,2]=>[2,1,1,2,1,1]=>10111011=>4 [1,4,2,3,8,5,6,7]=>[8,5,7,6,1,4,3,2]=>[1,2,1,2,1,1]=>11011011=>4 [1,2,4,3,8,5,6,7]=>[8,7,5,6,1,4,3,2]=>[1,1,2,2,1,1]=>11101011=>4 [1,2,4,8,3,5,6,7]=>[8,7,5,1,6,4,3,2]=>[1,1,1,2,1,1,1]=>11110111=>2 [4,1,2,3,5,8,6,7]=>[5,8,7,6,4,1,3,2]=>[2,1,1,1,2,1]=>10111101=>4 [1,4,2,3,5,8,6,7]=>[8,5,7,6,4,1,3,2]=>[1,2,1,1,2,1]=>11011101=>4 [1,2,4,3,5,8,6,7]=>[8,7,5,6,4,1,3,2]=>[1,1,2,1,2,1]=>11101101=>4 [1,2,4,5,3,8,6,7]=>[8,7,5,4,6,1,3,2]=>[1,1,1,2,2,1]=>11110101=>4 [1,2,4,5,8,3,6,7]=>[8,7,5,4,1,6,3,2]=>[1,1,1,1,2,1,1]=>11111011=>2 [4,1,2,3,5,6,8,7]=>[5,8,7,6,4,3,1,2]=>[2,1,1,1,1,2]=>10111110=>3 [1,4,2,3,5,6,8,7]=>[8,5,7,6,4,3,1,2]=>[1,2,1,1,1,2]=>11011110=>3 [1,2,4,5,6,8,3,7]=>[8,7,5,4,3,1,6,2]=>[1,1,1,1,1,2,1]=>11111101=>2 [1,4,2,3,5,6,7,8]=>[8,5,7,6,4,3,2,1]=>[1,2,1,1,1,1,1]=>11011111=>2 [5,1,6,2,7,3,8,4]=>[4,8,3,7,2,6,1,5]=>[2,2,2,2]=>10101010=>7 [5,6,1,2,7,3,8,4]=>[4,3,8,7,2,6,1,5]=>[1,2,1,2,2]=>11011010=>5 [5,1,6,7,2,3,8,4]=>[4,8,3,2,7,6,1,5]=>[2,1,2,1,2]=>10110110=>5 [5,6,1,7,2,3,8,4]=>[4,3,8,2,7,6,1,5]=>[1,2,2,1,2]=>11010110=>5 [5,6,7,1,2,3,8,4]=>[4,3,2,8,7,6,1,5]=>[1,1,2,1,1,2]=>11101110=>3 [5,1,6,2,7,8,3,4]=>[4,8,3,7,2,1,6,5]=>[2,2,1,2,1]=>10101101=>6 [5,6,1,2,7,8,3,4]=>[4,3,8,7,2,1,6,5]=>[1,2,1,1,2,1]=>11011101=>4 [5,1,6,7,2,8,3,4]=>[4,8,3,2,7,1,6,5]=>[2,1,2,2,1]=>10110101=>6 [5,6,1,7,2,8,3,4]=>[4,3,8,2,7,1,6,5]=>[1,2,2,2,1]=>11010101=>6 [5,6,7,1,2,8,3,4]=>[4,3,2,8,7,1,6,5]=>[1,1,2,1,2,1]=>11101101=>4 [5,1,6,7,8,2,3,4]=>[4,8,3,2,1,7,6,5]=>[2,1,1,2,1,1]=>10111011=>4 [5,6,1,7,8,2,3,4]=>[4,3,8,2,1,7,6,5]=>[1,2,1,2,1,1]=>11011011=>4 [5,6,7,1,8,2,3,4]=>[4,3,2,8,1,7,6,5]=>[1,1,2,2,1,1]=>11101011=>4 [5,1,6,2,7,3,4,8]=>[4,8,3,7,2,6,5,1]=>[2,2,2,1,1]=>10101011=>6 [5,6,1,2,7,3,4,8]=>[4,3,8,7,2,6,5,1]=>[1,2,1,2,1,1]=>11011011=>4 [5,1,6,7,2,3,4,8]=>[4,8,3,2,7,6,5,1]=>[2,1,2,1,1,1]=>10110111=>4 [5,6,1,7,2,3,4,8]=>[4,3,8,2,7,6,5,1]=>[1,2,2,1,1,1]=>11010111=>4 [5,1,6,2,3,7,4,8]=>[4,8,3,7,6,2,5,1]=>[2,2,1,2,1]=>10101101=>6 [5,6,1,2,3,7,4,8]=>[4,3,8,7,6,2,5,1]=>[1,2,1,1,2,1]=>11011101=>4 [5,1,2,6,3,7,4,8]=>[4,8,7,3,6,2,5,1]=>[2,1,2,2,1]=>10110101=>6 [1,5,2,6,3,7,4,8]=>[8,4,7,3,6,2,5,1]=>[1,2,2,2,1]=>11010101=>6 [1,5,6,2,3,7,4,8]=>[8,4,3,7,6,2,5,1]=>[1,1,2,1,2,1]=>11101101=>4 [5,1,2,6,7,3,4,8]=>[4,8,7,3,2,6,5,1]=>[2,1,1,2,1,1]=>10111011=>4 [1,5,6,7,2,3,4,8]=>[8,4,3,2,7,6,5,1]=>[1,1,1,2,1,1,1]=>11110111=>2 [5,1,6,2,3,7,8,4]=>[4,8,3,7,6,2,1,5]=>[2,2,1,1,2]=>10101110=>5 [5,6,1,2,3,7,8,4]=>[4,3,8,7,6,2,1,5]=>[1,2,1,1,1,2]=>11011110=>3 [5,1,2,6,3,7,8,4]=>[4,8,7,3,6,2,1,5]=>[2,1,2,1,2]=>10110110=>5 [1,5,2,6,3,7,8,4]=>[8,4,7,3,6,2,1,5]=>[1,2,2,1,2]=>11010110=>5 [1,5,6,2,3,7,8,4]=>[8,4,3,7,6,2,1,5]=>[1,1,2,1,1,2]=>11101110=>3 [5,1,2,6,7,3,8,4]=>[4,8,7,3,2,6,1,5]=>[2,1,1,2,2]=>10111010=>5 [1,5,2,6,7,3,8,4]=>[8,4,7,3,2,6,1,5]=>[1,2,1,2,2]=>11011010=>5 [1,5,6,2,7,3,8,4]=>[8,4,3,7,2,6,1,5]=>[1,1,2,2,2]=>11101010=>5 [1,5,6,7,2,3,8,4]=>[8,4,3,2,7,6,1,5]=>[1,1,1,2,1,2]=>11110110=>3 [5,1,2,6,7,8,3,4]=>[4,8,7,3,2,1,6,5]=>[2,1,1,1,2,1]=>10111101=>4 [1,5,6,2,7,8,3,4]=>[8,4,3,7,2,1,6,5]=>[1,1,2,1,2,1]=>11101101=>4 [1,5,6,7,2,8,3,4]=>[8,4,3,2,7,1,6,5]=>[1,1,1,2,2,1]=>11110101=>4 [1,5,6,7,8,2,3,4]=>[8,4,3,2,1,7,6,5]=>[1,1,1,1,2,1,1]=>11111011=>2 [5,1,6,2,8,3,4,7]=>[4,8,3,7,1,6,5,2]=>[2,2,2,1,1]=>10101011=>6 [5,6,1,2,8,3,4,7]=>[4,3,8,7,1,6,5,2]=>[1,2,1,2,1,1]=>11011011=>4 [5,1,6,8,2,3,4,7]=>[4,8,3,1,7,6,5,2]=>[2,1,2,1,1,1]=>10110111=>4 [5,6,1,8,2,3,4,7]=>[4,3,8,1,7,6,5,2]=>[1,2,2,1,1,1]=>11010111=>4 [5,6,8,1,2,3,4,7]=>[4,3,1,8,7,6,5,2]=>[1,1,2,1,1,1,1]=>11101111=>2 [5,1,6,2,3,8,4,7]=>[4,8,3,7,6,1,5,2]=>[2,2,1,2,1]=>10101101=>6 [5,6,1,2,3,8,4,7]=>[4,3,8,7,6,1,5,2]=>[1,2,1,1,2,1]=>11011101=>4 [5,1,2,6,3,8,4,7]=>[4,8,7,3,6,1,5,2]=>[2,1,2,2,1]=>10110101=>6 [1,5,2,6,3,8,4,7]=>[8,4,7,3,6,1,5,2]=>[1,2,2,2,1]=>11010101=>6 [1,5,6,2,3,8,4,7]=>[8,4,3,7,6,1,5,2]=>[1,1,2,1,2,1]=>11101101=>4 [5,1,2,6,8,3,4,7]=>[4,8,7,3,1,6,5,2]=>[2,1,1,2,1,1]=>10111011=>4 [1,5,2,6,8,3,4,7]=>[8,4,7,3,1,6,5,2]=>[1,2,1,2,1,1]=>11011011=>4 [1,5,6,2,8,3,4,7]=>[8,4,3,7,1,6,5,2]=>[1,1,2,2,1,1]=>11101011=>4 [1,5,6,8,2,3,4,7]=>[8,4,3,1,7,6,5,2]=>[1,1,1,2,1,1,1]=>11110111=>2 [5,1,6,2,3,4,8,7]=>[4,8,3,7,6,5,1,2]=>[2,2,1,1,2]=>10101110=>5 [5,6,1,2,3,4,8,7]=>[4,3,8,7,6,5,1,2]=>[1,2,1,1,1,2]=>11011110=>3 [5,1,2,6,3,4,8,7]=>[4,8,7,3,6,5,1,2]=>[2,1,2,1,2]=>10110110=>5 [1,5,2,6,3,4,8,7]=>[8,4,7,3,6,5,1,2]=>[1,2,2,1,2]=>11010110=>5 [1,5,6,2,3,4,8,7]=>[8,4,3,7,6,5,1,2]=>[1,1,2,1,1,2]=>11101110=>3 [1,5,2,3,6,4,8,7]=>[8,4,7,6,3,5,1,2]=>[1,2,1,2,2]=>11011010=>5 [1,2,5,3,6,4,8,7]=>[8,7,4,6,3,5,1,2]=>[1,1,2,2,2]=>11101010=>5 [1,2,5,6,3,4,8,7]=>[8,7,4,3,6,5,1,2]=>[1,1,1,2,1,2]=>11110110=>3 [5,1,2,3,6,8,4,7]=>[4,8,7,6,3,1,5,2]=>[2,1,1,1,2,1]=>10111101=>4 [1,5,2,3,6,8,4,7]=>[8,4,7,6,3,1,5,2]=>[1,2,1,1,2,1]=>11011101=>4 [1,2,5,3,6,8,4,7]=>[8,7,4,6,3,1,5,2]=>[1,1,2,1,2,1]=>11101101=>4 [1,2,5,6,3,8,4,7]=>[8,7,4,3,6,1,5,2]=>[1,1,1,2,2,1]=>11110101=>4 [5,1,6,2,3,4,7,8]=>[4,8,3,7,6,5,2,1]=>[2,2,1,1,1,1]=>10101111=>4 [5,1,2,6,3,4,7,8]=>[4,8,7,3,6,5,2,1]=>[2,1,2,1,1,1]=>10110111=>4 [1,5,2,6,3,4,7,8]=>[8,4,7,3,6,5,2,1]=>[1,2,2,1,1,1]=>11010111=>4 [1,5,6,2,3,4,7,8]=>[8,4,3,7,6,5,2,1]=>[1,1,2,1,1,1,1]=>11101111=>2 [5,1,2,3,6,4,7,8]=>[4,8,7,6,3,5,2,1]=>[2,1,1,2,1,1]=>10111011=>4 [1,5,2,3,6,4,7,8]=>[8,4,7,6,3,5,2,1]=>[1,2,1,2,1,1]=>11011011=>4 [1,2,5,3,6,4,7,8]=>[8,7,4,6,3,5,2,1]=>[1,1,2,2,1,1]=>11101011=>4 [1,2,5,6,3,4,7,8]=>[8,7,4,3,6,5,2,1]=>[1,1,1,2,1,1,1]=>11110111=>2 [5,1,2,3,6,7,4,8]=>[4,8,7,6,3,2,5,1]=>[2,1,1,1,2,1]=>10111101=>4 [1,2,5,3,6,7,4,8]=>[8,7,4,6,3,2,5,1]=>[1,1,2,1,2,1]=>11101101=>4 [1,2,5,6,3,7,4,8]=>[8,7,4,3,6,2,5,1]=>[1,1,1,2,2,1]=>11110101=>4 [5,1,2,3,6,7,8,4]=>[4,8,7,6,3,2,1,5]=>[2,1,1,1,1,2]=>10111110=>3 [1,5,2,3,6,7,8,4]=>[8,4,7,6,3,2,1,5]=>[1,2,1,1,1,2]=>11011110=>3 [1,2,5,3,6,7,8,4]=>[8,7,4,6,3,2,1,5]=>[1,1,2,1,1,2]=>11101110=>3 [1,2,5,6,3,7,8,4]=>[8,7,4,3,6,2,1,5]=>[1,1,1,2,1,2]=>11110110=>3 [1,2,5,6,7,3,8,4]=>[8,7,4,3,2,6,1,5]=>[1,1,1,1,2,2]=>11111010=>3 [1,2,5,6,7,8,3,4]=>[8,7,4,3,2,1,6,5]=>[1,1,1,1,1,2,1]=>11111101=>2 [5,1,7,2,8,3,4,6]=>[4,8,2,7,1,6,5,3]=>[2,2,2,1,1]=>10101011=>6 [5,7,1,2,8,3,4,6]=>[4,2,8,7,1,6,5,3]=>[1,2,1,2,1,1]=>11011011=>4 [5,1,7,8,2,3,4,6]=>[4,8,2,1,7,6,5,3]=>[2,1,2,1,1,1]=>10110111=>4 [5,7,1,8,2,3,4,6]=>[4,2,8,1,7,6,5,3]=>[1,2,2,1,1,1]=>11010111=>4 [5,7,8,1,2,3,4,6]=>[4,2,1,8,7,6,5,3]=>[1,1,2,1,1,1,1]=>11101111=>2 [5,1,7,2,3,8,4,6]=>[4,8,2,7,6,1,5,3]=>[2,2,1,2,1]=>10101101=>6 [5,7,1,2,3,8,4,6]=>[4,2,8,7,6,1,5,3]=>[1,2,1,1,2,1]=>11011101=>4 [5,1,2,7,3,8,4,6]=>[4,8,7,2,6,1,5,3]=>[2,1,2,2,1]=>10110101=>6 [1,5,2,7,3,8,4,6]=>[8,4,7,2,6,1,5,3]=>[1,2,2,2,1]=>11010101=>6 [1,5,7,2,3,8,4,6]=>[8,4,2,7,6,1,5,3]=>[1,1,2,1,2,1]=>11101101=>4 [5,1,2,7,8,3,4,6]=>[4,8,7,2,1,6,5,3]=>[2,1,1,2,1,1]=>10111011=>4 [1,5,2,7,8,3,4,6]=>[8,4,7,2,1,6,5,3]=>[1,2,1,2,1,1]=>11011011=>4 [1,5,7,2,8,3,4,6]=>[8,4,2,7,1,6,5,3]=>[1,1,2,2,1,1]=>11101011=>4 [1,5,7,8,2,3,4,6]=>[8,4,2,1,7,6,5,3]=>[1,1,1,2,1,1,1]=>11110111=>2 [5,1,7,2,3,4,8,6]=>[4,8,2,7,6,5,1,3]=>[2,2,1,1,2]=>10101110=>5 [5,7,1,2,3,4,8,6]=>[4,2,8,7,6,5,1,3]=>[1,2,1,1,1,2]=>11011110=>3 [5,1,2,7,3,4,8,6]=>[4,8,7,2,6,5,1,3]=>[2,1,2,1,2]=>10110110=>5 [1,5,2,7,3,4,8,6]=>[8,4,7,2,6,5,1,3]=>[1,2,2,1,2]=>11010110=>5 [1,5,7,2,3,4,8,6]=>[8,4,2,7,6,5,1,3]=>[1,1,2,1,1,2]=>11101110=>3 [5,1,2,3,7,4,8,6]=>[4,8,7,6,2,5,1,3]=>[2,1,1,2,2]=>10111010=>5 [1,5,2,3,7,4,8,6]=>[8,4,7,6,2,5,1,3]=>[1,2,1,2,2]=>11011010=>5 [1,2,5,3,7,4,8,6]=>[8,7,4,6,2,5,1,3]=>[1,1,2,2,2]=>11101010=>5 [1,2,5,7,3,4,8,6]=>[8,7,4,2,6,5,1,3]=>[1,1,1,2,1,2]=>11110110=>3 [5,1,2,3,7,8,4,6]=>[4,8,7,6,2,1,5,3]=>[2,1,1,1,2,1]=>10111101=>4 [1,5,2,3,7,8,4,6]=>[8,4,7,6,2,1,5,3]=>[1,2,1,1,2,1]=>11011101=>4 [1,2,5,3,7,8,4,6]=>[8,7,4,6,2,1,5,3]=>[1,1,2,1,2,1]=>11101101=>4 [1,2,5,7,3,8,4,6]=>[8,7,4,2,6,1,5,3]=>[1,1,1,2,2,1]=>11110101=>4 [1,2,5,7,8,3,4,6]=>[8,7,4,2,1,6,5,3]=>[1,1,1,1,2,1,1]=>11111011=>2 [5,1,7,2,3,4,6,8]=>[4,8,2,7,6,5,3,1]=>[2,2,1,1,1,1]=>10101111=>4 [5,7,1,2,3,4,6,8]=>[4,2,8,7,6,5,3,1]=>[1,2,1,1,1,1,1]=>11011111=>2 [5,1,2,7,3,4,6,8]=>[4,8,7,2,6,5,3,1]=>[2,1,2,1,1,1]=>10110111=>4 [1,5,2,7,3,4,6,8]=>[8,4,7,2,6,5,3,1]=>[1,2,2,1,1,1]=>11010111=>4 [1,5,7,2,3,4,6,8]=>[8,4,2,7,6,5,3,1]=>[1,1,2,1,1,1,1]=>11101111=>2 [5,1,2,3,7,4,6,8]=>[4,8,7,6,2,5,3,1]=>[2,1,1,2,1,1]=>10111011=>4 [1,5,2,3,7,4,6,8]=>[8,4,7,6,2,5,3,1]=>[1,2,1,2,1,1]=>11011011=>4 [1,2,5,3,7,4,6,8]=>[8,7,4,6,2,5,3,1]=>[1,1,2,2,1,1]=>11101011=>4 [1,2,5,7,3,4,6,8]=>[8,7,4,2,6,5,3,1]=>[1,1,1,2,1,1,1]=>11110111=>2 [5,1,2,3,4,7,6,8]=>[4,8,7,6,5,2,3,1]=>[2,1,1,1,2,1]=>10111101=>4 [1,5,2,3,4,7,6,8]=>[8,4,7,6,5,2,3,1]=>[1,2,1,1,2,1]=>11011101=>4 [1,2,5,3,4,7,6,8]=>[8,7,4,6,5,2,3,1]=>[1,1,2,1,2,1]=>11101101=>4 [1,2,3,5,7,4,6,8]=>[8,7,6,4,2,5,3,1]=>[1,1,1,1,2,1,1]=>11111011=>2 [5,1,2,3,4,7,8,6]=>[4,8,7,6,5,2,1,3]=>[2,1,1,1,1,2]=>10111110=>3 [1,5,2,3,4,7,8,6]=>[8,4,7,6,5,2,1,3]=>[1,2,1,1,1,2]=>11011110=>3 [1,2,5,3,4,7,8,6]=>[8,7,4,6,5,2,1,3]=>[1,1,2,1,1,2]=>11101110=>3 [1,2,3,5,7,4,8,6]=>[8,7,6,4,2,5,1,3]=>[1,1,1,1,2,2]=>11111010=>3 [1,2,3,5,7,8,4,6]=>[8,7,6,4,2,1,5,3]=>[1,1,1,1,1,2,1]=>11111101=>2 [5,1,8,2,3,4,6,7]=>[4,8,1,7,6,5,3,2]=>[2,2,1,1,1,1]=>10101111=>4 [5,8,1,2,3,4,6,7]=>[4,1,8,7,6,5,3,2]=>[1,2,1,1,1,1,1]=>11011111=>2 [5,1,2,8,3,4,6,7]=>[4,8,7,1,6,5,3,2]=>[2,1,2,1,1,1]=>10110111=>4 [1,5,2,8,3,4,6,7]=>[8,4,7,1,6,5,3,2]=>[1,2,2,1,1,1]=>11010111=>4 [1,5,8,2,3,4,6,7]=>[8,4,1,7,6,5,3,2]=>[1,1,2,1,1,1,1]=>11101111=>2 [5,1,2,3,8,4,6,7]=>[4,8,7,6,1,5,3,2]=>[2,1,1,2,1,1]=>10111011=>4 [1,5,2,3,8,4,6,7]=>[8,4,7,6,1,5,3,2]=>[1,2,1,2,1,1]=>11011011=>4 [1,2,5,3,8,4,6,7]=>[8,7,4,6,1,5,3,2]=>[1,1,2,2,1,1]=>11101011=>4 [1,2,5,8,3,4,6,7]=>[8,7,4,1,6,5,3,2]=>[1,1,1,2,1,1,1]=>11110111=>2 [5,1,2,3,4,8,6,7]=>[4,8,7,6,5,1,3,2]=>[2,1,1,1,2,1]=>10111101=>4 [1,5,2,3,4,8,6,7]=>[8,4,7,6,5,1,3,2]=>[1,2,1,1,2,1]=>11011101=>4 [1,2,5,3,4,8,6,7]=>[8,7,4,6,5,1,3,2]=>[1,1,2,1,2,1]=>11101101=>4 [1,2,3,5,4,8,6,7]=>[8,7,6,4,5,1,3,2]=>[1,1,1,2,2,1]=>11110101=>4 [1,2,3,5,8,4,6,7]=>[8,7,6,4,1,5,3,2]=>[1,1,1,1,2,1,1]=>11111011=>2 [5,1,2,3,4,6,8,7]=>[4,8,7,6,5,3,1,2]=>[2,1,1,1,1,2]=>10111110=>3 [1,5,2,3,4,6,8,7]=>[8,4,7,6,5,3,1,2]=>[1,2,1,1,1,2]=>11011110=>3 [1,2,5,3,4,6,8,7]=>[8,7,4,6,5,3,1,2]=>[1,1,2,1,1,2]=>11101110=>3 [1,2,3,5,6,8,4,7]=>[8,7,6,4,3,1,5,2]=>[1,1,1,1,1,2,1]=>11111101=>2 [1,5,2,3,4,6,7,8]=>[8,4,7,6,5,3,2,1]=>[1,2,1,1,1,1,1]=>11011111=>2 [1,2,5,3,4,6,7,8]=>[8,7,4,6,5,3,2,1]=>[1,1,2,1,1,1,1]=>11101111=>2 [6,1,7,2,8,3,4,5]=>[3,8,2,7,1,6,5,4]=>[2,2,2,1,1]=>10101011=>6 [6,7,1,2,8,3,4,5]=>[3,2,8,7,1,6,5,4]=>[1,2,1,2,1,1]=>11011011=>4 [6,1,7,8,2,3,4,5]=>[3,8,2,1,7,6,5,4]=>[2,1,2,1,1,1]=>10110111=>4 [6,7,1,8,2,3,4,5]=>[3,2,8,1,7,6,5,4]=>[1,2,2,1,1,1]=>11010111=>4 [6,1,7,2,3,8,4,5]=>[3,8,2,7,6,1,5,4]=>[2,2,1,2,1]=>10101101=>6 [6,7,1,2,3,8,4,5]=>[3,2,8,7,6,1,5,4]=>[1,2,1,1,2,1]=>11011101=>4 [6,1,2,7,3,8,4,5]=>[3,8,7,2,6,1,5,4]=>[2,1,2,2,1]=>10110101=>6 [1,6,2,7,3,8,4,5]=>[8,3,7,2,6,1,5,4]=>[1,2,2,2,1]=>11010101=>6 [1,6,7,2,3,8,4,5]=>[8,3,2,7,6,1,5,4]=>[1,1,2,1,2,1]=>11101101=>4 [6,1,2,7,8,3,4,5]=>[3,8,7,2,1,6,5,4]=>[2,1,1,2,1,1]=>10111011=>4 [1,6,2,7,8,3,4,5]=>[8,3,7,2,1,6,5,4]=>[1,2,1,2,1,1]=>11011011=>4 [1,6,7,2,8,3,4,5]=>[8,3,2,7,1,6,5,4]=>[1,1,2,2,1,1]=>11101011=>4 [1,6,7,8,2,3,4,5]=>[8,3,2,1,7,6,5,4]=>[1,1,1,2,1,1,1]=>11110111=>2 [6,1,7,2,3,4,8,5]=>[3,8,2,7,6,5,1,4]=>[2,2,1,1,2]=>10101110=>5 [6,7,1,2,3,4,8,5]=>[3,2,8,7,6,5,1,4]=>[1,2,1,1,1,2]=>11011110=>3 [6,1,2,7,3,4,8,5]=>[3,8,7,2,6,5,1,4]=>[2,1,2,1,2]=>10110110=>5 [1,6,2,7,3,4,8,5]=>[8,3,7,2,6,5,1,4]=>[1,2,2,1,2]=>11010110=>5 [1,6,7,2,3,4,8,5]=>[8,3,2,7,6,5,1,4]=>[1,1,2,1,1,2]=>11101110=>3 [6,1,2,3,7,4,8,5]=>[3,8,7,6,2,5,1,4]=>[2,1,1,2,2]=>10111010=>5 [1,6,2,3,7,4,8,5]=>[8,3,7,6,2,5,1,4]=>[1,2,1,2,2]=>11011010=>5 [1,2,6,3,7,4,8,5]=>[8,7,3,6,2,5,1,4]=>[1,1,2,2,2]=>11101010=>5 [1,2,6,7,3,4,8,5]=>[8,7,3,2,6,5,1,4]=>[1,1,1,2,1,2]=>11110110=>3 [6,1,2,3,7,8,4,5]=>[3,8,7,6,2,1,5,4]=>[2,1,1,1,2,1]=>10111101=>4 [1,6,2,3,7,8,4,5]=>[8,3,7,6,2,1,5,4]=>[1,2,1,1,2,1]=>11011101=>4 [1,2,6,3,7,8,4,5]=>[8,7,3,6,2,1,5,4]=>[1,1,2,1,2,1]=>11101101=>4 [1,2,6,7,3,8,4,5]=>[8,7,3,2,6,1,5,4]=>[1,1,1,2,2,1]=>11110101=>4 [1,2,6,7,8,3,4,5]=>[8,7,3,2,1,6,5,4]=>[1,1,1,1,2,1,1]=>11111011=>2 [6,1,7,2,3,4,5,8]=>[3,8,2,7,6,5,4,1]=>[2,2,1,1,1,1]=>10101111=>4 [6,1,2,7,3,4,5,8]=>[3,8,7,2,6,5,4,1]=>[2,1,2,1,1,1]=>10110111=>4 [1,6,2,7,3,4,5,8]=>[8,3,7,2,6,5,4,1]=>[1,2,2,1,1,1]=>11010111=>4 [1,6,7,2,3,4,5,8]=>[8,3,2,7,6,5,4,1]=>[1,1,2,1,1,1,1]=>11101111=>2 [6,1,2,3,7,4,5,8]=>[3,8,7,6,2,5,4,1]=>[2,1,1,2,1,1]=>10111011=>4 [1,6,2,3,7,4,5,8]=>[8,3,7,6,2,5,4,1]=>[1,2,1,2,1,1]=>11011011=>4 [1,2,6,3,7,4,5,8]=>[8,7,3,6,2,5,4,1]=>[1,1,2,2,1,1]=>11101011=>4 [1,2,6,7,3,4,5,8]=>[8,7,3,2,6,5,4,1]=>[1,1,1,2,1,1,1]=>11110111=>2 [6,1,2,3,4,7,5,8]=>[3,8,7,6,5,2,4,1]=>[2,1,1,1,2,1]=>10111101=>4 [1,6,2,3,4,7,5,8]=>[8,3,7,6,5,2,4,1]=>[1,2,1,1,2,1]=>11011101=>4 [1,2,6,3,4,7,5,8]=>[8,7,3,6,5,2,4,1]=>[1,1,2,1,2,1]=>11101101=>4 [1,2,3,6,4,7,5,8]=>[8,7,6,3,5,2,4,1]=>[1,1,1,2,2,1]=>11110101=>4 [1,2,3,6,7,4,5,8]=>[8,7,6,3,2,5,4,1]=>[1,1,1,1,2,1,1]=>11111011=>2 [6,1,2,3,4,7,8,5]=>[3,8,7,6,5,2,1,4]=>[2,1,1,1,1,2]=>10111110=>3 [1,6,2,3,4,7,8,5]=>[8,3,7,6,5,2,1,4]=>[1,2,1,1,1,2]=>11011110=>3 [1,2,6,3,4,7,8,5]=>[8,7,3,6,5,2,1,4]=>[1,1,2,1,1,2]=>11101110=>3 [1,2,3,6,4,7,8,5]=>[8,7,6,3,5,2,1,4]=>[1,1,1,2,1,2]=>11110110=>3 [1,2,3,6,7,4,8,5]=>[8,7,6,3,2,5,1,4]=>[1,1,1,1,2,2]=>11111010=>3 [1,2,3,6,7,8,4,5]=>[8,7,6,3,2,1,5,4]=>[1,1,1,1,1,2,1]=>11111101=>2 [6,1,8,2,3,4,5,7]=>[3,8,1,7,6,5,4,2]=>[2,2,1,1,1,1]=>10101111=>4 [6,8,1,2,3,4,5,7]=>[3,1,8,7,6,5,4,2]=>[1,2,1,1,1,1,1]=>11011111=>2 [6,1,2,8,3,4,5,7]=>[3,8,7,1,6,5,4,2]=>[2,1,2,1,1,1]=>10110111=>4 [1,6,2,8,3,4,5,7]=>[8,3,7,1,6,5,4,2]=>[1,2,2,1,1,1]=>11010111=>4 [1,6,8,2,3,4,5,7]=>[8,3,1,7,6,5,4,2]=>[1,1,2,1,1,1,1]=>11101111=>2 [6,1,2,3,8,4,5,7]=>[3,8,7,6,1,5,4,2]=>[2,1,1,2,1,1]=>10111011=>4 [1,6,2,3,8,4,5,7]=>[8,3,7,6,1,5,4,2]=>[1,2,1,2,1,1]=>11011011=>4 [1,2,6,3,8,4,5,7]=>[8,7,3,6,1,5,4,2]=>[1,1,2,2,1,1]=>11101011=>4 [1,2,6,8,3,4,5,7]=>[8,7,3,1,6,5,4,2]=>[1,1,1,2,1,1,1]=>11110111=>2 [6,1,2,3,4,8,5,7]=>[3,8,7,6,5,1,4,2]=>[2,1,1,1,2,1]=>10111101=>4 [1,6,2,3,4,8,5,7]=>[8,3,7,6,5,1,4,2]=>[1,2,1,1,2,1]=>11011101=>4 [1,2,6,3,4,8,5,7]=>[8,7,3,6,5,1,4,2]=>[1,1,2,1,2,1]=>11101101=>4 [1,2,3,6,4,8,5,7]=>[8,7,6,3,5,1,4,2]=>[1,1,1,2,2,1]=>11110101=>4 [1,2,3,6,8,4,5,7]=>[8,7,6,3,1,5,4,2]=>[1,1,1,1,2,1,1]=>11111011=>2 [6,1,2,3,4,5,8,7]=>[3,8,7,6,5,4,1,2]=>[2,1,1,1,1,2]=>10111110=>3 [1,6,2,3,4,5,8,7]=>[8,3,7,6,5,4,1,2]=>[1,2,1,1,1,2]=>11011110=>3 [1,2,6,3,4,5,8,7]=>[8,7,3,6,5,4,1,2]=>[1,1,2,1,1,2]=>11101110=>3 [1,2,3,6,4,5,8,7]=>[8,7,6,3,5,4,1,2]=>[1,1,1,2,1,2]=>11110110=>3 [1,2,3,4,6,8,5,7]=>[8,7,6,5,3,1,4,2]=>[1,1,1,1,1,2,1]=>11111101=>2 [1,6,2,3,4,5,7,8]=>[8,3,7,6,5,4,2,1]=>[1,2,1,1,1,1,1]=>11011111=>2 [1,2,6,3,4,5,7,8]=>[8,7,3,6,5,4,2,1]=>[1,1,2,1,1,1,1]=>11101111=>2 [1,2,3,6,4,5,7,8]=>[8,7,6,3,5,4,2,1]=>[1,1,1,2,1,1,1]=>11110111=>2 [7,1,8,2,3,4,5,6]=>[2,8,1,7,6,5,4,3]=>[2,2,1,1,1,1]=>10101111=>4 [7,1,2,8,3,4,5,6]=>[2,8,7,1,6,5,4,3]=>[2,1,2,1,1,1]=>10110111=>4 [1,7,2,8,3,4,5,6]=>[8,2,7,1,6,5,4,3]=>[1,2,2,1,1,1]=>11010111=>4 [1,7,8,2,3,4,5,6]=>[8,2,1,7,6,5,4,3]=>[1,1,2,1,1,1,1]=>11101111=>2 [7,1,2,3,8,4,5,6]=>[2,8,7,6,1,5,4,3]=>[2,1,1,2,1,1]=>10111011=>4 [1,7,2,3,8,4,5,6]=>[8,2,7,6,1,5,4,3]=>[1,2,1,2,1,1]=>11011011=>4 [1,2,7,3,8,4,5,6]=>[8,7,2,6,1,5,4,3]=>[1,1,2,2,1,1]=>11101011=>4 [1,2,7,8,3,4,5,6]=>[8,7,2,1,6,5,4,3]=>[1,1,1,2,1,1,1]=>11110111=>2 [7,1,2,3,4,8,5,6]=>[2,8,7,6,5,1,4,3]=>[2,1,1,1,2,1]=>10111101=>4 [1,7,2,3,4,8,5,6]=>[8,2,7,6,5,1,4,3]=>[1,2,1,1,2,1]=>11011101=>4 [1,2,7,3,4,8,5,6]=>[8,7,2,6,5,1,4,3]=>[1,1,2,1,2,1]=>11101101=>4 [1,2,3,7,4,8,5,6]=>[8,7,6,2,5,1,4,3]=>[1,1,1,2,2,1]=>11110101=>4 [7,1,2,3,4,5,8,6]=>[2,8,7,6,5,4,1,3]=>[2,1,1,1,1,2]=>10111110=>3 [1,7,2,3,4,5,8,6]=>[8,2,7,6,5,4,1,3]=>[1,2,1,1,1,2]=>11011110=>3 [1,2,7,3,4,5,8,6]=>[8,7,2,6,5,4,1,3]=>[1,1,2,1,1,2]=>11101110=>3 [1,2,3,7,4,5,8,6]=>[8,7,6,2,5,4,1,3]=>[1,1,1,2,1,2]=>11110110=>3 [1,2,3,4,7,5,8,6]=>[8,7,6,5,2,4,1,3]=>[1,1,1,1,2,2]=>11111010=>3 [1,2,3,4,7,8,5,6]=>[8,7,6,5,2,1,4,3]=>[1,1,1,1,1,2,1]=>11111101=>2 [1,7,2,3,4,5,6,8]=>[8,2,7,6,5,4,3,1]=>[1,2,1,1,1,1,1]=>11011111=>2 [1,2,7,3,4,5,6,8]=>[8,7,2,6,5,4,3,1]=>[1,1,2,1,1,1,1]=>11101111=>2 [1,2,3,7,4,5,6,8]=>[8,7,6,2,5,4,3,1]=>[1,1,1,2,1,1,1]=>11110111=>2 [1,2,3,4,7,5,6,8]=>[8,7,6,5,2,4,3,1]=>[1,1,1,1,2,1,1]=>11111011=>2 [1,8,2,3,4,5,6,7]=>[8,1,7,6,5,4,3,2]=>[1,2,1,1,1,1,1]=>11011111=>2 [1,2,8,3,4,5,6,7]=>[8,7,1,6,5,4,3,2]=>[1,1,2,1,1,1,1]=>11101111=>2 [1,2,3,8,4,5,6,7]=>[8,7,6,1,5,4,3,2]=>[1,1,1,2,1,1,1]=>11110111=>2 [1,2,3,4,8,5,6,7]=>[8,7,6,5,1,4,3,2]=>[1,1,1,1,2,1,1]=>11111011=>2 [1,2,3,4,5,8,6,7]=>[8,7,6,5,4,1,3,2]=>[1,1,1,1,1,2,1]=>11111101=>2 [5,3,2,6,1,4,8,7]=>[4,6,7,3,8,5,1,2]=>[3,2,1,2]=>10010110=>5 [7,3,2,5,4,8,1,6]=>[2,6,7,4,5,1,8,3]=>[3,2,2,1]=>10010101=>6 [8,4,5,2,3,7,6,1]=>[1,5,4,7,6,2,3,8]=>[2,2,1,3]=>10101100=>5 [7,4,5,2,3,8,1,6]=>[2,5,4,7,6,1,8,3]=>[2,2,1,2,1]=>10101101=>6 [6,4,5,2,3,1,8,7]=>[3,5,4,7,6,8,1,2]=>[2,2,2,2]=>10101010=>7 [5,4,6,2,1,3,8,7]=>[4,5,3,7,8,6,1,2]=>[2,3,1,2]=>10100110=>5 [3,6,1,5,4,2,8,7]=>[6,3,8,4,5,7,1,2]=>[1,2,3,2]=>11010010=>5 [4,6,5,1,3,2,8,7]=>[5,3,4,8,6,7,1,2]=>[1,3,2,2]=>11001010=>5 [5,6,4,3,1,2,8,7]=>[4,3,5,6,8,7,1,2]=>[1,4,1,2]=>11000110=>3 [7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[5,2,1]=>10000101=>4 [8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[4,2,2]=>10001010=>5 [7,6,4,3,8,2,1,5]=>[2,3,5,6,1,7,8,4]=>[4,3,1]=>10001001=>4 [6,7,4,3,8,1,2,5]=>[3,2,5,6,1,8,7,4]=>[1,3,2,1,1]=>11001011=>4 [5,7,4,3,1,8,2,6]=>[4,2,5,6,8,1,7,3]=>[1,4,2,1]=>11000101=>4 [4,7,5,1,3,8,2,6]=>[5,2,4,8,6,1,7,3]=>[1,3,1,2,1]=>11001101=>4 [3,7,1,5,4,8,2,6]=>[6,2,8,4,5,1,7,3]=>[1,2,2,2,1]=>11010101=>6 [2,1,7,5,4,8,3,6]=>[7,8,2,4,5,1,6,3]=>[2,3,2,1]=>10100101=>6 [3,8,1,5,4,7,6,2]=>[6,1,8,4,5,2,3,7]=>[1,2,2,3]=>11010100=>5 [4,8,5,1,3,7,6,2]=>[5,1,4,8,6,2,3,7]=>[1,3,1,3]=>11001100=>3 [5,8,4,3,1,7,6,2]=>[4,1,5,6,8,2,3,7]=>[1,4,3]=>11000100=>3 [6,8,4,3,7,1,5,2]=>[3,1,5,6,2,8,4,7]=>[1,3,2,2]=>11001010=>5 [7,8,4,3,6,5,1,2]=>[2,1,5,6,3,4,8,7]=>[1,3,3,1]=>11001001=>4 [6,8,5,7,3,1,4,2]=>[3,1,4,2,6,8,5,7]=>[1,2,3,2]=>11010010=>5 [5,8,6,7,1,3,4,2]=>[4,1,3,2,8,6,5,7]=>[1,2,2,1,2]=>11010110=>5 [4,8,6,1,7,3,5,2]=>[5,1,3,8,2,6,4,7]=>[1,3,2,2]=>11001010=>5 [3,8,1,6,7,4,5,2]=>[6,1,8,3,2,5,4,7]=>[1,2,1,2,2]=>11011010=>5 [2,1,8,6,7,4,5,3]=>[7,8,1,3,2,5,4,6]=>[2,2,2,2]=>10101010=>7 [2,1,7,6,8,4,3,5]=>[7,8,2,3,1,5,6,4]=>[2,2,3,1]=>10101001=>6 [3,7,1,6,8,4,2,5]=>[6,2,8,3,1,5,7,4]=>[1,2,1,3,1]=>11011001=>4 [4,7,6,1,8,3,2,5]=>[5,2,3,8,1,6,7,4]=>[1,3,3,1]=>11001001=>4 [5,7,6,8,1,3,2,4]=>[4,2,3,1,8,6,7,5]=>[1,2,2,2,1]=>11010101=>6 [5,4,7,2,1,8,3,6]=>[4,5,2,7,8,1,6,3]=>[2,3,2,1]=>10100101=>6 [6,4,7,2,8,1,3,5]=>[3,5,2,7,1,8,6,4]=>[2,2,2,1,1]=>10101011=>6 [7,4,6,2,8,3,1,5]=>[2,5,3,7,1,6,8,4]=>[2,2,3,1]=>10101001=>6 [8,4,6,2,7,3,5,1]=>[1,5,3,7,2,6,4,8]=>[2,2,2,2]=>10101010=>7 [8,3,2,6,7,4,5,1]=>[1,6,7,3,2,5,4,8]=>[3,1,2,2]=>10011010=>5 [7,3,2,6,8,4,1,5]=>[2,6,7,3,1,5,8,4]=>[3,1,3,1]=>10011001=>4 [6,3,2,7,8,1,4,5]=>[3,6,7,2,1,8,5,4]=>[3,1,2,1,1]=>10011011=>4 [5,3,2,7,1,8,4,6]=>[4,6,7,2,8,1,5,3]=>[3,2,2,1]=>10010101=>6 [4,3,2,1,7,8,5,6]=>[5,6,7,8,2,1,4,3]=>[4,1,2,1]=>10001101=>4 [3,4,1,2,8,7,6,5]=>[6,5,8,7,1,2,3,4]=>[1,2,1,4]=>11011000=>3 [5,3,2,8,1,7,6,4]=>[4,6,7,1,8,2,3,5]=>[3,2,3]=>10010100=>5 [6,3,2,8,7,1,5,4]=>[3,6,7,1,2,8,4,5]=>[3,3,2]=>10010010=>5 [7,3,2,8,6,5,1,4]=>[2,6,7,1,3,4,8,5]=>[3,4,1]=>10010001=>4 [8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[2,2,4]=>10101000=>5 [7,4,8,2,6,5,1,3]=>[2,5,1,7,3,4,8,6]=>[2,2,3,1]=>10101001=>6 [6,4,8,2,7,1,5,3]=>[3,5,1,7,2,8,4,6]=>[2,2,2,2]=>10101010=>7 [5,4,8,2,1,7,6,3]=>[4,5,1,7,8,2,3,6]=>[2,3,3]=>10100100=>5 [4,5,8,1,2,7,6,3]=>[5,4,1,8,7,2,3,6]=>[1,1,2,1,3]=>11101100=>3 [3,5,1,8,2,7,6,4]=>[6,4,8,1,7,2,3,5]=>[1,2,2,3]=>11010100=>5 [2,1,5,8,3,7,6,4]=>[7,8,4,1,6,2,3,5]=>[2,1,2,3]=>10110100=>5 [2,1,6,8,7,3,5,4]=>[7,8,3,1,2,6,4,5]=>[2,1,3,2]=>10110010=>5 [3,6,1,8,7,2,5,4]=>[6,3,8,1,2,7,4,5]=>[1,2,3,2]=>11010010=>5 [4,6,8,1,7,2,5,3]=>[5,3,1,8,2,7,4,6]=>[1,1,2,2,2]=>11101010=>5 [5,6,8,7,1,2,4,3]=>[4,3,1,2,8,7,5,6]=>[1,1,3,1,2]=>11100110=>3 [6,5,8,7,2,1,4,3]=>[3,4,1,2,7,8,5,6]=>[2,4,2]=>10100010=>5 [7,5,8,6,2,4,1,3]=>[2,4,1,3,7,5,8,6]=>[2,3,2,1]=>10100101=>6 [8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>[2,3,3]=>10100100=>5 [5,7,8,6,1,4,2,3]=>[4,2,1,3,8,5,7,6]=>[1,1,3,2,1]=>11100101=>4 [4,7,8,1,6,5,2,3]=>[5,2,1,8,3,4,7,6]=>[1,1,2,3,1]=>11101001=>4 [3,7,1,8,6,5,2,4]=>[6,2,8,1,3,4,7,5]=>[1,2,4,1]=>11010001=>4 [2,1,7,8,6,5,3,4]=>[7,8,2,1,3,4,6,5]=>[2,1,4,1]=>10110001=>4 [3,8,1,7,6,5,4,2]=>[6,1,8,2,3,4,5,7]=>[1,2,5]=>11010000=>3 [4,8,7,1,6,5,3,2]=>[5,1,2,8,3,4,6,7]=>[1,3,4]=>11001000=>3 [5,8,7,6,1,4,3,2]=>[4,1,2,3,8,5,6,7]=>[1,4,3]=>11000100=>3 [6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[1,5,2]=>11000010=>3 [3,2,5,1,4,6,7,8]=>[6,7,4,8,5,3,2,1]=>[2,2,1,1,1,1]=>10101111=>4 [4,2,5,1,3,6,7,8]=>[5,7,4,8,6,3,2,1]=>[2,2,1,1,1,1]=>10101111=>4 [5,2,4,1,3,6,7,8]=>[4,7,5,8,6,3,2,1]=>[2,2,1,1,1,1]=>10101111=>4 [4,2,6,1,3,5,7,8]=>[5,7,3,8,6,4,2,1]=>[2,2,1,1,1,1]=>10101111=>4 [5,2,6,1,3,4,7,8]=>[4,7,3,8,6,5,2,1]=>[2,2,1,1,1,1]=>10101111=>4 [5,3,6,1,2,4,7,8]=>[4,6,3,8,7,5,2,1]=>[2,2,1,1,1,1]=>10101111=>4 [6,2,4,1,3,5,7,8]=>[3,7,5,8,6,4,2,1]=>[2,2,1,1,1,1]=>10101111=>4 [6,2,5,1,3,4,7,8]=>[3,7,4,8,6,5,2,1]=>[2,2,1,1,1,1]=>10101111=>4 [6,3,5,1,2,4,7,8]=>[3,6,4,8,7,5,2,1]=>[2,2,1,1,1,1]=>10101111=>4 [3,2,7,1,4,5,6,8]=>[6,7,2,8,5,4,3,1]=>[2,2,1,1,1,1]=>10101111=>4 [4,2,7,1,3,5,6,8]=>[5,7,2,8,6,4,3,1]=>[2,2,1,1,1,1]=>10101111=>4 [4,3,7,1,2,5,6,8]=>[5,6,2,8,7,4,3,1]=>[2,2,1,1,1,1]=>10101111=>4 [5,3,7,1,2,4,6,8]=>[4,6,2,8,7,5,3,1]=>[2,2,1,1,1,1]=>10101111=>4 [5,4,7,1,2,3,6,8]=>[4,5,2,8,7,6,3,1]=>[2,2,1,1,1,1]=>10101111=>4 [6,2,7,1,3,4,5,8]=>[3,7,2,8,6,5,4,1]=>[2,2,1,1,1,1]=>10101111=>4 [6,3,7,1,2,4,5,8]=>[3,6,2,8,7,5,4,1]=>[2,2,1,1,1,1]=>10101111=>4 [6,4,7,1,2,3,5,8]=>[3,5,2,8,7,6,4,1]=>[2,2,1,1,1,1]=>10101111=>4 [7,2,4,1,3,5,6,8]=>[2,7,5,8,6,4,3,1]=>[2,2,1,1,1,1]=>10101111=>4 [7,2,5,1,3,4,6,8]=>[2,7,4,8,6,5,3,1]=>[2,2,1,1,1,1]=>10101111=>4 [7,3,5,1,2,4,6,8]=>[2,6,4,8,7,5,3,1]=>[2,2,1,1,1,1]=>10101111=>4 [7,3,6,1,2,4,5,8]=>[2,6,3,8,7,5,4,1]=>[2,2,1,1,1,1]=>10101111=>4 [7,4,6,1,2,3,5,8]=>[2,5,3,8,7,6,4,1]=>[2,2,1,1,1,1]=>10101111=>4 [3,2,8,1,4,5,6,7]=>[6,7,1,8,5,4,3,2]=>[2,2,1,1,1,1]=>10101111=>4 [4,2,8,1,3,5,6,7]=>[5,7,1,8,6,4,3,2]=>[2,2,1,1,1,1]=>10101111=>4 [4,3,8,1,2,5,6,7]=>[5,6,1,8,7,4,3,2]=>[2,2,1,1,1,1]=>10101111=>4 [5,2,8,1,3,4,6,7]=>[4,7,1,8,6,5,3,2]=>[2,2,1,1,1,1]=>10101111=>4 [5,3,8,1,2,4,6,7]=>[4,6,1,8,7,5,3,2]=>[2,2,1,1,1,1]=>10101111=>4 [5,4,8,1,2,3,6,7]=>[4,5,1,8,7,6,3,2]=>[2,2,1,1,1,1]=>10101111=>4 [6,2,8,1,3,4,5,7]=>[3,7,1,8,6,5,4,2]=>[2,2,1,1,1,1]=>10101111=>4 [6,3,8,1,2,4,5,7]=>[3,6,1,8,7,5,4,2]=>[2,2,1,1,1,1]=>10101111=>4 [6,5,8,1,2,3,4,7]=>[3,4,1,8,7,6,5,2]=>[2,2,1,1,1,1]=>10101111=>4 [7,2,8,1,3,4,5,6]=>[2,7,1,8,6,5,4,3]=>[2,2,1,1,1,1]=>10101111=>4 [7,4,8,1,2,3,5,6]=>[2,5,1,8,7,6,4,3]=>[2,2,1,1,1,1]=>10101111=>4 [7,5,8,1,2,3,4,6]=>[2,4,1,8,7,6,5,3]=>[2,2,1,1,1,1]=>10101111=>4 [8,2,4,1,3,5,6,7]=>[1,7,5,8,6,4,3,2]=>[2,2,1,1,1,1]=>10101111=>4 [8,2,5,1,3,4,6,7]=>[1,7,4,8,6,5,3,2]=>[2,2,1,1,1,1]=>10101111=>4 [8,3,5,1,2,4,6,7]=>[1,6,4,8,7,5,3,2]=>[2,2,1,1,1,1]=>10101111=>4 [8,4,6,1,2,3,5,7]=>[1,5,3,8,7,6,4,2]=>[2,2,1,1,1,1]=>10101111=>4 [8,2,7,1,3,4,5,6]=>[1,7,2,8,6,5,4,3]=>[2,2,1,1,1,1]=>10101111=>4 [8,3,7,1,2,4,5,6]=>[1,6,2,8,7,5,4,3]=>[2,2,1,1,1,1]=>10101111=>4 [8,4,7,1,2,3,5,6]=>[1,5,2,8,7,6,4,3]=>[2,2,1,1,1,1]=>10101111=>4 [8,5,7,1,2,3,4,6]=>[1,4,2,8,7,6,5,3]=>[2,2,1,1,1,1]=>10101111=>4 [3,2,5,7,1,4,6,8]=>[6,7,4,2,8,5,3,1]=>[2,1,2,1,1,1]=>10110111=>4 [4,2,5,7,1,3,6,8]=>[5,7,4,2,8,6,3,1]=>[2,1,2,1,1,1]=>10110111=>4 [5,2,4,7,1,3,6,8]=>[4,7,5,2,8,6,3,1]=>[2,1,2,1,1,1]=>10110111=>4 [5,3,4,7,1,2,6,8]=>[4,6,5,2,8,7,3,1]=>[2,1,2,1,1,1]=>10110111=>4 [3,2,6,7,1,4,5,8]=>[6,7,3,2,8,5,4,1]=>[2,1,2,1,1,1]=>10110111=>4 [4,2,6,7,1,3,5,8]=>[5,7,3,2,8,6,4,1]=>[2,1,2,1,1,1]=>10110111=>4 [5,2,6,7,1,3,4,8]=>[4,7,3,2,8,6,5,1]=>[2,1,2,1,1,1]=>10110111=>4 [5,3,6,7,1,2,4,8]=>[4,6,3,2,8,7,5,1]=>[2,1,2,1,1,1]=>10110111=>4 [6,3,4,7,1,2,5,8]=>[3,6,5,2,8,7,4,1]=>[2,1,2,1,1,1]=>10110111=>4 [6,2,5,7,1,3,4,8]=>[3,7,4,2,8,6,5,1]=>[2,1,2,1,1,1]=>10110111=>4 [6,3,5,7,1,2,4,8]=>[3,6,4,2,8,7,5,1]=>[2,1,2,1,1,1]=>10110111=>4 [7,2,4,6,1,3,5,8]=>[2,7,5,3,8,6,4,1]=>[2,1,2,1,1,1]=>10110111=>4 [7,3,5,6,1,2,4,8]=>[2,6,4,3,8,7,5,1]=>[2,1,2,1,1,1]=>10110111=>4 [3,2,5,8,1,4,6,7]=>[6,7,4,1,8,5,3,2]=>[2,1,2,1,1,1]=>10110111=>4 [4,2,5,8,1,3,6,7]=>[5,7,4,1,8,6,3,2]=>[2,1,2,1,1,1]=>10110111=>4 [4,3,5,8,1,2,6,7]=>[5,6,4,1,8,7,3,2]=>[2,1,2,1,1,1]=>10110111=>4 [5,2,4,8,1,3,6,7]=>[4,7,5,1,8,6,3,2]=>[2,1,2,1,1,1]=>10110111=>4 [5,3,4,8,1,2,6,7]=>[4,6,5,1,8,7,3,2]=>[2,1,2,1,1,1]=>10110111=>4 [3,2,6,8,1,4,5,7]=>[6,7,3,1,8,5,4,2]=>[2,1,2,1,1,1]=>10110111=>4 [4,2,6,8,1,3,5,7]=>[5,7,3,1,8,6,4,2]=>[2,1,2,1,1,1]=>10110111=>4 [4,3,6,8,1,2,5,7]=>[5,6,3,1,8,7,4,2]=>[2,1,2,1,1,1]=>10110111=>4 [5,2,6,8,1,3,4,7]=>[4,7,3,1,8,6,5,2]=>[2,1,2,1,1,1]=>10110111=>4 [5,3,6,8,1,2,4,7]=>[4,6,3,1,8,7,5,2]=>[2,1,2,1,1,1]=>10110111=>4 [5,4,6,8,1,2,3,7]=>[4,5,3,1,8,7,6,2]=>[2,1,2,1,1,1]=>10110111=>4 [6,2,4,8,1,3,5,7]=>[3,7,5,1,8,6,4,2]=>[2,1,2,1,1,1]=>10110111=>4 [6,3,4,8,1,2,5,7]=>[3,6,5,1,8,7,4,2]=>[2,1,2,1,1,1]=>10110111=>4 [6,2,5,8,1,3,4,7]=>[3,7,4,1,8,6,5,2]=>[2,1,2,1,1,1]=>10110111=>4 [6,3,5,8,1,2,4,7]=>[3,6,4,1,8,7,5,2]=>[2,1,2,1,1,1]=>10110111=>4 [6,4,5,8,1,2,3,7]=>[3,5,4,1,8,7,6,2]=>[2,1,2,1,1,1]=>10110111=>4 [3,2,7,8,1,4,5,6]=>[6,7,2,1,8,5,4,3]=>[2,1,2,1,1,1]=>10110111=>4 [4,3,7,8,1,2,5,6]=>[5,6,2,1,8,7,4,3]=>[2,1,2,1,1,1]=>10110111=>4 [5,2,7,8,1,3,4,6]=>[4,7,2,1,8,6,5,3]=>[2,1,2,1,1,1]=>10110111=>4 [5,3,7,8,1,2,4,6]=>[4,6,2,1,8,7,5,3]=>[2,1,2,1,1,1]=>10110111=>4 [5,4,7,8,1,2,3,6]=>[4,5,2,1,8,7,6,3]=>[2,1,2,1,1,1]=>10110111=>4 [6,2,7,8,1,3,4,5]=>[3,7,2,1,8,6,5,4]=>[2,1,2,1,1,1]=>10110111=>4 [6,4,7,8,1,2,3,5]=>[3,5,2,1,8,7,6,4]=>[2,1,2,1,1,1]=>10110111=>4 [7,2,4,8,1,3,5,6]=>[2,7,5,1,8,6,4,3]=>[2,1,2,1,1,1]=>10110111=>4 [7,3,4,8,1,2,5,6]=>[2,6,5,1,8,7,4,3]=>[2,1,2,1,1,1]=>10110111=>4 [7,3,5,8,1,2,4,6]=>[2,6,4,1,8,7,5,3]=>[2,1,2,1,1,1]=>10110111=>4 [7,4,5,8,1,2,3,6]=>[2,5,4,1,8,7,6,3]=>[2,1,2,1,1,1]=>10110111=>4 [7,2,6,8,1,3,4,5]=>[2,7,3,1,8,6,5,4]=>[2,1,2,1,1,1]=>10110111=>4 [7,3,6,8,1,2,4,5]=>[2,6,3,1,8,7,5,4]=>[2,1,2,1,1,1]=>10110111=>4 [7,4,6,8,1,2,3,5]=>[2,5,3,1,8,7,6,4]=>[2,1,2,1,1,1]=>10110111=>4 [8,2,4,6,1,3,5,7]=>[1,7,5,3,8,6,4,2]=>[2,1,2,1,1,1]=>10110111=>4 [8,3,4,6,1,2,5,7]=>[1,6,5,3,8,7,4,2]=>[2,1,2,1,1,1]=>10110111=>4 [8,3,5,6,1,2,4,7]=>[1,6,4,3,8,7,5,2]=>[2,1,2,1,1,1]=>10110111=>4 [8,2,4,7,1,3,5,6]=>[1,7,5,2,8,6,4,3]=>[2,1,2,1,1,1]=>10110111=>4 [8,3,4,7,1,2,5,6]=>[1,6,5,2,8,7,4,3]=>[2,1,2,1,1,1]=>10110111=>4 [8,2,5,7,1,3,4,6]=>[1,7,4,2,8,6,5,3]=>[2,1,2,1,1,1]=>10110111=>4 [8,3,5,7,1,2,4,6]=>[1,6,4,2,8,7,5,3]=>[2,1,2,1,1,1]=>10110111=>4 [8,2,6,7,1,3,4,5]=>[1,7,3,2,8,6,5,4]=>[2,1,2,1,1,1]=>10110111=>4 [8,4,6,7,1,2,3,5]=>[1,5,3,2,8,7,6,4]=>[2,1,2,1,1,1]=>10110111=>4 [3,6,2,5,1,4,7,8]=>[6,3,7,4,8,5,2,1]=>[1,2,2,1,1,1]=>11010111=>4 [4,6,2,5,1,3,7,8]=>[5,3,7,4,8,6,2,1]=>[1,2,2,1,1,1]=>11010111=>4 [4,6,3,5,1,2,7,8]=>[5,3,6,4,8,7,2,1]=>[1,2,2,1,1,1]=>11010111=>4 [5,6,2,4,1,3,7,8]=>[4,3,7,5,8,6,2,1]=>[1,2,2,1,1,1]=>11010111=>4 [3,7,2,5,1,4,6,8]=>[6,2,7,4,8,5,3,1]=>[1,2,2,1,1,1]=>11010111=>4 [4,7,2,5,1,3,6,8]=>[5,2,7,4,8,6,3,1]=>[1,2,2,1,1,1]=>11010111=>4 [4,7,3,5,1,2,6,8]=>[5,2,6,4,8,7,3,1]=>[1,2,2,1,1,1]=>11010111=>4 [5,7,2,4,1,3,6,8]=>[4,2,7,5,8,6,3,1]=>[1,2,2,1,1,1]=>11010111=>4 [5,7,3,4,1,2,6,8]=>[4,2,6,5,8,7,3,1]=>[1,2,2,1,1,1]=>11010111=>4 [3,7,2,6,1,4,5,8]=>[6,2,7,3,8,5,4,1]=>[1,2,2,1,1,1]=>11010111=>4 [4,7,3,6,1,2,5,8]=>[5,2,6,3,8,7,4,1]=>[1,2,2,1,1,1]=>11010111=>4 [5,7,2,6,1,3,4,8]=>[4,2,7,3,8,6,5,1]=>[1,2,2,1,1,1]=>11010111=>4 [5,7,3,6,1,2,4,8]=>[4,2,6,3,8,7,5,1]=>[1,2,2,1,1,1]=>11010111=>4 [5,7,4,6,1,2,3,8]=>[4,2,5,3,8,7,6,1]=>[1,2,2,1,1,1]=>11010111=>4 [6,7,2,4,1,3,5,8]=>[3,2,7,5,8,6,4,1]=>[1,2,2,1,1,1]=>11010111=>4 [6,7,2,5,1,3,4,8]=>[3,2,7,4,8,6,5,1]=>[1,2,2,1,1,1]=>11010111=>4 [6,7,3,5,1,2,4,8]=>[3,2,6,4,8,7,5,1]=>[1,2,2,1,1,1]=>11010111=>4 [3,8,2,5,1,4,6,7]=>[6,1,7,4,8,5,3,2]=>[1,2,2,1,1,1]=>11010111=>4 [4,8,2,5,1,3,6,7]=>[5,1,7,4,8,6,3,2]=>[1,2,2,1,1,1]=>11010111=>4 [4,8,3,5,1,2,6,7]=>[5,1,6,4,8,7,3,2]=>[1,2,2,1,1,1]=>11010111=>4 [5,8,2,4,1,3,6,7]=>[4,1,7,5,8,6,3,2]=>[1,2,2,1,1,1]=>11010111=>4 [5,8,3,4,1,2,6,7]=>[4,1,6,5,8,7,3,2]=>[1,2,2,1,1,1]=>11010111=>4 [3,8,2,6,1,4,5,7]=>[6,1,7,3,8,5,4,2]=>[1,2,2,1,1,1]=>11010111=>4 [4,8,2,6,1,3,5,7]=>[5,1,7,3,8,6,4,2]=>[1,2,2,1,1,1]=>11010111=>4 [5,8,2,6,1,3,4,7]=>[4,1,7,3,8,6,5,2]=>[1,2,2,1,1,1]=>11010111=>4 [5,8,3,6,1,2,4,7]=>[4,1,6,3,8,7,5,2]=>[1,2,2,1,1,1]=>11010111=>4 [5,8,4,6,1,2,3,7]=>[4,1,5,3,8,7,6,2]=>[1,2,2,1,1,1]=>11010111=>4 [6,8,2,4,1,3,5,7]=>[3,1,7,5,8,6,4,2]=>[1,2,2,1,1,1]=>11010111=>4 [6,8,3,4,1,2,5,7]=>[3,1,6,5,8,7,4,2]=>[1,2,2,1,1,1]=>11010111=>4 [6,8,2,5,1,3,4,7]=>[3,1,7,4,8,6,5,2]=>[1,2,2,1,1,1]=>11010111=>4 [6,8,3,5,1,2,4,7]=>[3,1,6,4,8,7,5,2]=>[1,2,2,1,1,1]=>11010111=>4 [6,8,4,5,1,2,3,7]=>[3,1,5,4,8,7,6,2]=>[1,2,2,1,1,1]=>11010111=>4 [3,8,2,7,1,4,5,6]=>[6,1,7,2,8,5,4,3]=>[1,2,2,1,1,1]=>11010111=>4 [4,8,2,7,1,3,5,6]=>[5,1,7,2,8,6,4,3]=>[1,2,2,1,1,1]=>11010111=>4 [4,8,3,7,1,2,5,6]=>[5,1,6,2,8,7,4,3]=>[1,2,2,1,1,1]=>11010111=>4 [5,8,2,7,1,3,4,6]=>[4,1,7,2,8,6,5,3]=>[1,2,2,1,1,1]=>11010111=>4 [5,8,3,7,1,2,4,6]=>[4,1,6,2,8,7,5,3]=>[1,2,2,1,1,1]=>11010111=>4 [5,8,4,7,1,2,3,6]=>[4,1,5,2,8,7,6,3]=>[1,2,2,1,1,1]=>11010111=>4 [6,8,2,7,1,3,4,5]=>[3,1,7,2,8,6,5,4]=>[1,2,2,1,1,1]=>11010111=>4 [6,8,3,7,1,2,4,5]=>[3,1,6,2,8,7,5,4]=>[1,2,2,1,1,1]=>11010111=>4 [6,8,4,7,1,2,3,5]=>[3,1,5,2,8,7,6,4]=>[1,2,2,1,1,1]=>11010111=>4 [6,8,5,7,1,2,3,4]=>[3,1,4,2,8,7,6,5]=>[1,2,2,1,1,1]=>11010111=>4 [7,8,2,4,1,3,5,6]=>[2,1,7,5,8,6,4,3]=>[1,2,2,1,1,1]=>11010111=>4 [7,8,2,5,1,3,4,6]=>[2,1,7,4,8,6,5,3]=>[1,2,2,1,1,1]=>11010111=>4 [7,8,3,5,1,2,4,6]=>[2,1,6,4,8,7,5,3]=>[1,2,2,1,1,1]=>11010111=>4 [7,8,2,6,1,3,4,5]=>[2,1,7,3,8,6,5,4]=>[1,2,2,1,1,1]=>11010111=>4 [7,8,3,6,1,2,4,5]=>[2,1,6,3,8,7,5,4]=>[1,2,2,1,1,1]=>11010111=>4 [7,8,4,6,1,2,3,5]=>[2,1,5,3,8,7,6,4]=>[1,2,2,1,1,1]=>11010111=>4 [4,3,2,6,1,5,7,8]=>[5,6,7,3,8,4,2,1]=>[3,2,1,1,1]=>10010111=>4 [5,3,2,6,1,4,7,8]=>[4,6,7,3,8,5,2,1]=>[3,2,1,1,1]=>10010111=>4 [5,4,2,6,1,3,7,8]=>[4,5,7,3,8,6,2,1]=>[3,2,1,1,1]=>10010111=>4 [6,3,2,5,1,4,7,8]=>[3,6,7,4,8,5,2,1]=>[3,2,1,1,1]=>10010111=>4 [6,4,2,5,1,3,7,8]=>[3,5,7,4,8,6,2,1]=>[3,2,1,1,1]=>10010111=>4 [6,5,2,4,1,3,7,8]=>[3,4,7,5,8,6,2,1]=>[3,2,1,1,1]=>10010111=>4 [4,3,2,7,1,5,6,8]=>[5,6,7,2,8,4,3,1]=>[3,2,1,1,1]=>10010111=>4 [5,3,2,7,1,4,6,8]=>[4,6,7,2,8,5,3,1]=>[3,2,1,1,1]=>10010111=>4 [5,4,2,7,1,3,6,8]=>[4,5,7,2,8,6,3,1]=>[3,2,1,1,1]=>10010111=>4 [5,4,3,7,1,2,6,8]=>[4,5,6,2,8,7,3,1]=>[3,2,1,1,1]=>10010111=>4 [6,3,2,7,1,4,5,8]=>[3,6,7,2,8,5,4,1]=>[3,2,1,1,1]=>10010111=>4 [6,4,2,7,1,3,5,8]=>[3,5,7,2,8,6,4,1]=>[3,2,1,1,1]=>10010111=>4 [6,4,3,7,1,2,5,8]=>[3,5,6,2,8,7,4,1]=>[3,2,1,1,1]=>10010111=>4 [6,5,2,7,1,3,4,8]=>[3,4,7,2,8,6,5,1]=>[3,2,1,1,1]=>10010111=>4 [6,5,3,7,1,2,4,8]=>[3,4,6,2,8,7,5,1]=>[3,2,1,1,1]=>10010111=>4 [7,3,2,5,1,4,6,8]=>[2,6,7,4,8,5,3,1]=>[3,2,1,1,1]=>10010111=>4 [7,4,2,5,1,3,6,8]=>[2,5,7,4,8,6,3,1]=>[3,2,1,1,1]=>10010111=>4 [7,3,2,6,1,4,5,8]=>[2,6,7,3,8,5,4,1]=>[3,2,1,1,1]=>10010111=>4 [7,4,2,6,1,3,5,8]=>[2,5,7,3,8,6,4,1]=>[3,2,1,1,1]=>10010111=>4 [7,4,3,6,1,2,5,8]=>[2,5,6,3,8,7,4,1]=>[3,2,1,1,1]=>10010111=>4 [7,5,2,6,1,3,4,8]=>[2,4,7,3,8,6,5,1]=>[3,2,1,1,1]=>10010111=>4 [7,5,3,6,1,2,4,8]=>[2,4,6,3,8,7,5,1]=>[3,2,1,1,1]=>10010111=>4 [7,6,2,4,1,3,5,8]=>[2,3,7,5,8,6,4,1]=>[3,2,1,1,1]=>10010111=>4 [7,6,2,5,1,3,4,8]=>[2,3,7,4,8,6,5,1]=>[3,2,1,1,1]=>10010111=>4 [4,3,2,8,1,5,6,7]=>[5,6,7,1,8,4,3,2]=>[3,2,1,1,1]=>10010111=>4 [5,3,2,8,1,4,6,7]=>[4,6,7,1,8,5,3,2]=>[3,2,1,1,1]=>10010111=>4 [5,4,2,8,1,3,6,7]=>[4,5,7,1,8,6,3,2]=>[3,2,1,1,1]=>10010111=>4 [5,4,3,8,1,2,6,7]=>[4,5,6,1,8,7,3,2]=>[3,2,1,1,1]=>10010111=>4 [6,3,2,8,1,4,5,7]=>[3,6,7,1,8,5,4,2]=>[3,2,1,1,1]=>10010111=>4 [6,4,2,8,1,3,5,7]=>[3,5,7,1,8,6,4,2]=>[3,2,1,1,1]=>10010111=>4 [6,4,3,8,1,2,5,7]=>[3,5,6,1,8,7,4,2]=>[3,2,1,1,1]=>10010111=>4 [6,5,2,8,1,3,4,7]=>[3,4,7,1,8,6,5,2]=>[3,2,1,1,1]=>10010111=>4 [6,5,3,8,1,2,4,7]=>[3,4,6,1,8,7,5,2]=>[3,2,1,1,1]=>10010111=>4 [6,5,4,8,1,2,3,7]=>[3,4,5,1,8,7,6,2]=>[3,2,1,1,1]=>10010111=>4 [7,3,2,8,1,4,5,6]=>[2,6,7,1,8,5,4,3]=>[3,2,1,1,1]=>10010111=>4 [7,4,2,8,1,3,5,6]=>[2,5,7,1,8,6,4,3]=>[3,2,1,1,1]=>10010111=>4 [7,4,3,8,1,2,5,6]=>[2,5,6,1,8,7,4,3]=>[3,2,1,1,1]=>10010111=>4 [7,5,2,8,1,3,4,6]=>[2,4,7,1,8,6,5,3]=>[3,2,1,1,1]=>10010111=>4 [7,5,3,8,1,2,4,6]=>[2,4,6,1,8,7,5,3]=>[3,2,1,1,1]=>10010111=>4 [7,5,4,8,1,2,3,6]=>[2,4,5,1,8,7,6,3]=>[3,2,1,1,1]=>10010111=>4 [7,6,2,8,1,3,4,5]=>[2,3,7,1,8,6,5,4]=>[3,2,1,1,1]=>10010111=>4 [7,6,3,8,1,2,4,5]=>[2,3,6,1,8,7,5,4]=>[3,2,1,1,1]=>10010111=>4 [7,6,4,8,1,2,3,5]=>[2,3,5,1,8,7,6,4]=>[3,2,1,1,1]=>10010111=>4 [8,3,2,5,1,4,6,7]=>[1,6,7,4,8,5,3,2]=>[3,2,1,1,1]=>10010111=>4 [8,4,2,5,1,3,6,7]=>[1,5,7,4,8,6,3,2]=>[3,2,1,1,1]=>10010111=>4 [8,5,2,4,1,3,6,7]=>[1,4,7,5,8,6,3,2]=>[3,2,1,1,1]=>10010111=>4 [8,3,2,6,1,4,5,7]=>[1,6,7,3,8,5,4,2]=>[3,2,1,1,1]=>10010111=>4 [8,4,2,6,1,3,5,7]=>[1,5,7,3,8,6,4,2]=>[3,2,1,1,1]=>10010111=>4 [8,4,3,6,1,2,5,7]=>[1,5,6,3,8,7,4,2]=>[3,2,1,1,1]=>10010111=>4 [8,5,2,6,1,3,4,7]=>[1,4,7,3,8,6,5,2]=>[3,2,1,1,1]=>10010111=>4 [8,5,3,6,1,2,4,7]=>[1,4,6,3,8,7,5,2]=>[3,2,1,1,1]=>10010111=>4 [8,6,2,4,1,3,5,7]=>[1,3,7,5,8,6,4,2]=>[3,2,1,1,1]=>10010111=>4 [8,6,2,5,1,3,4,7]=>[1,3,7,4,8,6,5,2]=>[3,2,1,1,1]=>10010111=>4 [8,6,3,5,1,2,4,7]=>[1,3,6,4,8,7,5,2]=>[3,2,1,1,1]=>10010111=>4 [8,3,2,7,1,4,5,6]=>[1,6,7,2,8,5,4,3]=>[3,2,1,1,1]=>10010111=>4 [8,4,2,7,1,3,5,6]=>[1,5,7,2,8,6,4,3]=>[3,2,1,1,1]=>10010111=>4 [8,4,3,7,1,2,5,6]=>[1,5,6,2,8,7,4,3]=>[3,2,1,1,1]=>10010111=>4 [8,5,2,7,1,3,4,6]=>[1,4,7,2,8,6,5,3]=>[3,2,1,1,1]=>10010111=>4 [8,5,3,7,1,2,4,6]=>[1,4,6,2,8,7,5,3]=>[3,2,1,1,1]=>10010111=>4 [8,5,4,7,1,2,3,6]=>[1,4,5,2,8,7,6,3]=>[3,2,1,1,1]=>10010111=>4 [8,6,2,7,1,3,4,5]=>[1,3,7,2,8,6,5,4]=>[3,2,1,1,1]=>10010111=>4 [8,6,3,7,1,2,4,5]=>[1,3,6,2,8,7,5,4]=>[3,2,1,1,1]=>10010111=>4 [8,7,2,4,1,3,5,6]=>[1,2,7,5,8,6,4,3]=>[3,2,1,1,1]=>10010111=>4 [8,7,2,5,1,3,4,6]=>[1,2,7,4,8,6,5,3]=>[3,2,1,1,1]=>10010111=>4 [8,7,3,5,1,2,4,6]=>[1,2,6,4,8,7,5,3]=>[3,2,1,1,1]=>10010111=>4 [8,7,2,6,1,3,4,5]=>[1,2,7,3,8,6,5,4]=>[3,2,1,1,1]=>10010111=>4 [8,7,3,6,1,2,4,5]=>[1,2,6,3,8,7,5,4]=>[3,2,1,1,1]=>10010111=>4 [8,7,4,6,1,2,3,5]=>[1,2,5,3,8,7,6,4]=>[3,2,1,1,1]=>10010111=>4 [3,6,2,5,8,1,4,7]=>[6,3,7,4,1,8,5,2]=>[1,2,1,2,1,1]=>11011011=>4 [4,6,2,5,8,1,3,7]=>[5,3,7,4,1,8,6,2]=>[1,2,1,2,1,1]=>11011011=>4 [5,6,2,4,8,1,3,7]=>[4,3,7,5,1,8,6,2]=>[1,2,1,2,1,1]=>11011011=>4 [5,6,3,4,8,1,2,7]=>[4,3,6,5,1,8,7,2]=>[1,2,1,2,1,1]=>11011011=>4 [3,7,2,5,8,1,4,6]=>[6,2,7,4,1,8,5,3]=>[1,2,1,2,1,1]=>11011011=>4 [4,7,2,5,8,1,3,6]=>[5,2,7,4,1,8,6,3]=>[1,2,1,2,1,1]=>11011011=>4 [4,7,3,5,8,1,2,6]=>[5,2,6,4,1,8,7,3]=>[1,2,1,2,1,1]=>11011011=>4 [5,7,2,4,8,1,3,6]=>[4,2,7,5,1,8,6,3]=>[1,2,1,2,1,1]=>11011011=>4 [5,7,3,4,8,1,2,6]=>[4,2,6,5,1,8,7,3]=>[1,2,1,2,1,1]=>11011011=>4 [3,7,2,6,8,1,4,5]=>[6,2,7,3,1,8,5,4]=>[1,2,1,2,1,1]=>11011011=>4 [4,7,2,6,8,1,3,5]=>[5,2,7,3,1,8,6,4]=>[1,2,1,2,1,1]=>11011011=>4 [4,7,3,6,8,1,2,5]=>[5,2,6,3,1,8,7,4]=>[1,2,1,2,1,1]=>11011011=>4 [5,7,2,6,8,1,3,4]=>[4,2,7,3,1,8,6,5]=>[1,2,1,2,1,1]=>11011011=>4 [5,7,3,6,8,1,2,4]=>[4,2,6,3,1,8,7,5]=>[1,2,1,2,1,1]=>11011011=>4 [5,7,4,6,8,1,2,3]=>[4,2,5,3,1,8,7,6]=>[1,2,1,2,1,1]=>11011011=>4 [6,7,2,4,8,1,3,5]=>[3,2,7,5,1,8,6,4]=>[1,2,1,2,1,1]=>11011011=>4 [6,7,3,4,8,1,2,5]=>[3,2,6,5,1,8,7,4]=>[1,2,1,2,1,1]=>11011011=>4 [6,7,2,5,8,1,3,4]=>[3,2,7,4,1,8,6,5]=>[1,2,1,2,1,1]=>11011011=>4 [6,7,3,5,8,1,2,4]=>[3,2,6,4,1,8,7,5]=>[1,2,1,2,1,1]=>11011011=>4 [3,8,2,5,7,1,4,6]=>[6,1,7,4,2,8,5,3]=>[1,2,1,2,1,1]=>11011011=>4 [4,8,2,5,7,1,3,6]=>[5,1,7,4,2,8,6,3]=>[1,2,1,2,1,1]=>11011011=>4 [4,8,3,5,7,1,2,6]=>[5,1,6,4,2,8,7,3]=>[1,2,1,2,1,1]=>11011011=>4 [5,8,2,4,7,1,3,6]=>[4,1,7,5,2,8,6,3]=>[1,2,1,2,1,1]=>11011011=>4 [5,8,3,4,7,1,2,6]=>[4,1,6,5,2,8,7,3]=>[1,2,1,2,1,1]=>11011011=>4 [3,8,2,6,7,1,4,5]=>[6,1,7,3,2,8,5,4]=>[1,2,1,2,1,1]=>11011011=>4 [4,8,3,6,7,1,2,5]=>[5,1,6,3,2,8,7,4]=>[1,2,1,2,1,1]=>11011011=>4 [5,8,2,6,7,1,3,4]=>[4,1,7,3,2,8,6,5]=>[1,2,1,2,1,1]=>11011011=>4 [5,8,3,6,7,1,2,4]=>[4,1,6,3,2,8,7,5]=>[1,2,1,2,1,1]=>11011011=>4 [5,8,4,6,7,1,2,3]=>[4,1,5,3,2,8,7,6]=>[1,2,1,2,1,1]=>11011011=>4 [6,8,2,4,7,1,3,5]=>[3,1,7,5,2,8,6,4]=>[1,2,1,2,1,1]=>11011011=>4 [6,8,3,4,7,1,2,5]=>[3,1,6,5,2,8,7,4]=>[1,2,1,2,1,1]=>11011011=>4 [6,8,2,5,7,1,3,4]=>[3,1,7,4,2,8,6,5]=>[1,2,1,2,1,1]=>11011011=>4 [6,8,3,5,7,1,2,4]=>[3,1,6,4,2,8,7,5]=>[1,2,1,2,1,1]=>11011011=>4 [7,8,2,4,6,1,3,5]=>[2,1,7,5,3,8,6,4]=>[1,2,1,2,1,1]=>11011011=>4 [7,8,3,4,6,1,2,5]=>[2,1,6,5,3,8,7,4]=>[1,2,1,2,1,1]=>11011011=>4 [7,8,2,5,6,1,3,4]=>[2,1,7,4,3,8,6,5]=>[1,2,1,2,1,1]=>11011011=>4 [7,8,3,5,6,1,2,4]=>[2,1,6,4,3,8,7,5]=>[1,2,1,2,1,1]=>11011011=>4 [4,3,2,6,8,1,5,7]=>[5,6,7,3,1,8,4,2]=>[3,1,2,1,1]=>10011011=>4 [5,3,2,6,8,1,4,7]=>[4,6,7,3,1,8,5,2]=>[3,1,2,1,1]=>10011011=>4 [5,4,2,6,8,1,3,7]=>[4,5,7,3,1,8,6,2]=>[3,1,2,1,1]=>10011011=>4 [5,4,3,6,8,1,2,7]=>[4,5,6,3,1,8,7,2]=>[3,1,2,1,1]=>10011011=>4 [6,3,2,5,8,1,4,7]=>[3,6,7,4,1,8,5,2]=>[3,1,2,1,1]=>10011011=>4 [6,4,2,5,8,1,3,7]=>[3,5,7,4,1,8,6,2]=>[3,1,2,1,1]=>10011011=>4 [6,4,3,5,8,1,2,7]=>[3,5,6,4,1,8,7,2]=>[3,1,2,1,1]=>10011011=>4 [6,5,2,4,8,1,3,7]=>[3,4,7,5,1,8,6,2]=>[3,1,2,1,1]=>10011011=>4 [6,5,3,4,8,1,2,7]=>[3,4,6,5,1,8,7,2]=>[3,1,2,1,1]=>10011011=>4 [4,3,2,7,8,1,5,6]=>[5,6,7,2,1,8,4,3]=>[3,1,2,1,1]=>10011011=>4 [5,3,2,7,8,1,4,6]=>[4,6,7,2,1,8,5,3]=>[3,1,2,1,1]=>10011011=>4 [5,4,2,7,8,1,3,6]=>[4,5,7,2,1,8,6,3]=>[3,1,2,1,1]=>10011011=>4 [5,4,3,7,8,1,2,6]=>[4,5,6,2,1,8,7,3]=>[3,1,2,1,1]=>10011011=>4 [6,4,2,7,8,1,3,5]=>[3,5,7,2,1,8,6,4]=>[3,1,2,1,1]=>10011011=>4 [6,4,3,7,8,1,2,5]=>[3,5,6,2,1,8,7,4]=>[3,1,2,1,1]=>10011011=>4 [6,5,2,7,8,1,3,4]=>[3,4,7,2,1,8,6,5]=>[3,1,2,1,1]=>10011011=>4 [6,5,3,7,8,1,2,4]=>[3,4,6,2,1,8,7,5]=>[3,1,2,1,1]=>10011011=>4 [7,3,2,5,8,1,4,6]=>[2,6,7,4,1,8,5,3]=>[3,1,2,1,1]=>10011011=>4 [7,4,2,5,8,1,3,6]=>[2,5,7,4,1,8,6,3]=>[3,1,2,1,1]=>10011011=>4 [7,4,3,5,8,1,2,6]=>[2,5,6,4,1,8,7,3]=>[3,1,2,1,1]=>10011011=>4 [7,5,2,4,8,1,3,6]=>[2,4,7,5,1,8,6,3]=>[3,1,2,1,1]=>10011011=>4 [7,5,3,4,8,1,2,6]=>[2,4,6,5,1,8,7,3]=>[3,1,2,1,1]=>10011011=>4 [7,3,2,6,8,1,4,5]=>[2,6,7,3,1,8,5,4]=>[3,1,2,1,1]=>10011011=>4 [7,4,2,6,8,1,3,5]=>[2,5,7,3,1,8,6,4]=>[3,1,2,1,1]=>10011011=>4 [7,4,3,6,8,1,2,5]=>[2,5,6,3,1,8,7,4]=>[3,1,2,1,1]=>10011011=>4 [7,5,2,6,8,1,3,4]=>[2,4,7,3,1,8,6,5]=>[3,1,2,1,1]=>10011011=>4 [7,5,3,6,8,1,2,4]=>[2,4,6,3,1,8,7,5]=>[3,1,2,1,1]=>10011011=>4 [7,6,2,4,8,1,3,5]=>[2,3,7,5,1,8,6,4]=>[3,1,2,1,1]=>10011011=>4 [7,6,3,4,8,1,2,5]=>[2,3,6,5,1,8,7,4]=>[3,1,2,1,1]=>10011011=>4 [7,6,2,5,8,1,3,4]=>[2,3,7,4,1,8,6,5]=>[3,1,2,1,1]=>10011011=>4 [7,6,3,5,8,1,2,4]=>[2,3,6,4,1,8,7,5]=>[3,1,2,1,1]=>10011011=>4 [8,3,2,5,7,1,4,6]=>[1,6,7,4,2,8,5,3]=>[3,1,2,1,1]=>10011011=>4 [8,4,2,5,7,1,3,6]=>[1,5,7,4,2,8,6,3]=>[3,1,2,1,1]=>10011011=>4 [8,4,3,5,7,1,2,6]=>[1,5,6,4,2,8,7,3]=>[3,1,2,1,1]=>10011011=>4 [8,5,2,4,7,1,3,6]=>[1,4,7,5,2,8,6,3]=>[3,1,2,1,1]=>10011011=>4 [8,5,3,4,7,1,2,6]=>[1,4,6,5,2,8,7,3]=>[3,1,2,1,1]=>10011011=>4 [8,3,2,6,7,1,4,5]=>[1,6,7,3,2,8,5,4]=>[3,1,2,1,1]=>10011011=>4 [8,4,2,6,7,1,3,5]=>[1,5,7,3,2,8,6,4]=>[3,1,2,1,1]=>10011011=>4 [8,4,3,6,7,1,2,5]=>[1,5,6,3,2,8,7,4]=>[3,1,2,1,1]=>10011011=>4 [8,5,2,6,7,1,3,4]=>[1,4,7,3,2,8,6,5]=>[3,1,2,1,1]=>10011011=>4 [8,5,3,6,7,1,2,4]=>[1,4,6,3,2,8,7,5]=>[3,1,2,1,1]=>10011011=>4 [8,6,2,4,7,1,3,5]=>[1,3,7,5,2,8,6,4]=>[3,1,2,1,1]=>10011011=>4 [8,6,2,5,7,1,3,4]=>[1,3,7,4,2,8,6,5]=>[3,1,2,1,1]=>10011011=>4 [8,6,3,5,7,1,2,4]=>[1,3,6,4,2,8,7,5]=>[3,1,2,1,1]=>10011011=>4 [8,7,2,4,6,1,3,5]=>[1,2,7,5,3,8,6,4]=>[3,1,2,1,1]=>10011011=>4 [8,7,3,4,6,1,2,5]=>[1,2,6,5,3,8,7,4]=>[3,1,2,1,1]=>10011011=>4 [8,7,2,5,6,1,3,4]=>[1,2,7,4,3,8,6,5]=>[3,1,2,1,1]=>10011011=>4 [8,7,3,5,6,1,2,4]=>[1,2,6,4,3,8,7,5]=>[3,1,2,1,1]=>10011011=>4 [4,3,7,2,6,1,5,8]=>[5,6,2,7,3,8,4,1]=>[2,2,2,1,1]=>10101011=>6 [5,3,7,2,6,1,4,8]=>[4,6,2,7,3,8,5,1]=>[2,2,2,1,1]=>10101011=>6 [5,4,7,2,6,1,3,8]=>[4,5,2,7,3,8,6,1]=>[2,2,2,1,1]=>10101011=>6 [5,4,7,3,6,1,2,8]=>[4,5,2,6,3,8,7,1]=>[2,2,2,1,1]=>10101011=>6 [6,3,7,2,5,1,4,8]=>[3,6,2,7,4,8,5,1]=>[2,2,2,1,1]=>10101011=>6 [6,4,7,2,5,1,3,8]=>[3,5,2,7,4,8,6,1]=>[2,2,2,1,1]=>10101011=>6 [6,4,7,3,5,1,2,8]=>[3,5,2,6,4,8,7,1]=>[2,2,2,1,1]=>10101011=>6 [6,5,7,2,4,1,3,8]=>[3,4,2,7,5,8,6,1]=>[2,2,2,1,1]=>10101011=>6 [7,3,6,2,5,1,4,8]=>[2,6,3,7,4,8,5,1]=>[2,2,2,1,1]=>10101011=>6 [7,4,6,2,5,1,3,8]=>[2,5,3,7,4,8,6,1]=>[2,2,2,1,1]=>10101011=>6 [7,4,6,3,5,1,2,8]=>[2,5,3,6,4,8,7,1]=>[2,2,2,1,1]=>10101011=>6 [7,5,6,2,4,1,3,8]=>[2,4,3,7,5,8,6,1]=>[2,2,2,1,1]=>10101011=>6 [4,3,8,2,6,1,5,7]=>[5,6,1,7,3,8,4,2]=>[2,2,2,1,1]=>10101011=>6 [5,3,8,2,6,1,4,7]=>[4,6,1,7,3,8,5,2]=>[2,2,2,1,1]=>10101011=>6 [5,4,8,2,6,1,3,7]=>[4,5,1,7,3,8,6,2]=>[2,2,2,1,1]=>10101011=>6 [5,4,8,3,6,1,2,7]=>[4,5,1,6,3,8,7,2]=>[2,2,2,1,1]=>10101011=>6 [6,4,8,2,5,1,3,7]=>[3,5,1,7,4,8,6,2]=>[2,2,2,1,1]=>10101011=>6 [6,4,8,3,5,1,2,7]=>[3,5,1,6,4,8,7,2]=>[2,2,2,1,1]=>10101011=>6 [6,5,8,2,4,1,3,7]=>[3,4,1,7,5,8,6,2]=>[2,2,2,1,1]=>10101011=>6 [6,5,8,3,4,1,2,7]=>[3,4,1,6,5,8,7,2]=>[2,2,2,1,1]=>10101011=>6 [4,3,8,2,7,1,5,6]=>[5,6,1,7,2,8,4,3]=>[2,2,2,1,1]=>10101011=>6 [5,3,8,2,7,1,4,6]=>[4,6,1,7,2,8,5,3]=>[2,2,2,1,1]=>10101011=>6 [5,4,8,2,7,1,3,6]=>[4,5,1,7,2,8,6,3]=>[2,2,2,1,1]=>10101011=>6 [5,4,8,3,7,1,2,6]=>[4,5,1,6,2,8,7,3]=>[2,2,2,1,1]=>10101011=>6 [6,3,8,2,7,1,4,5]=>[3,6,1,7,2,8,5,4]=>[2,2,2,1,1]=>10101011=>6 [6,4,8,2,7,1,3,5]=>[3,5,1,7,2,8,6,4]=>[2,2,2,1,1]=>10101011=>6 [6,4,8,3,7,1,2,5]=>[3,5,1,6,2,8,7,4]=>[2,2,2,1,1]=>10101011=>6 [6,5,8,3,7,1,2,4]=>[3,4,1,6,2,8,7,5]=>[2,2,2,1,1]=>10101011=>6 [6,5,8,4,7,1,2,3]=>[3,4,1,5,2,8,7,6]=>[2,2,2,1,1]=>10101011=>6 [7,3,8,2,5,1,4,6]=>[2,6,1,7,4,8,5,3]=>[2,2,2,1,1]=>10101011=>6 [7,4,8,2,5,1,3,6]=>[2,5,1,7,4,8,6,3]=>[2,2,2,1,1]=>10101011=>6 [7,4,8,3,5,1,2,6]=>[2,5,1,6,4,8,7,3]=>[2,2,2,1,1]=>10101011=>6 [7,5,8,2,4,1,3,6]=>[2,4,1,7,5,8,6,3]=>[2,2,2,1,1]=>10101011=>6 [7,5,8,3,4,1,2,6]=>[2,4,1,6,5,8,7,3]=>[2,2,2,1,1]=>10101011=>6 [7,3,8,2,6,1,4,5]=>[2,6,1,7,3,8,5,4]=>[2,2,2,1,1]=>10101011=>6 [7,4,8,2,6,1,3,5]=>[2,5,1,7,3,8,6,4]=>[2,2,2,1,1]=>10101011=>6 [7,4,8,3,6,1,2,5]=>[2,5,1,6,3,8,7,4]=>[2,2,2,1,1]=>10101011=>6 [7,5,8,2,6,1,3,4]=>[2,4,1,7,3,8,6,5]=>[2,2,2,1,1]=>10101011=>6 [7,5,8,3,6,1,2,4]=>[2,4,1,6,3,8,7,5]=>[2,2,2,1,1]=>10101011=>6 [7,5,8,4,6,1,2,3]=>[2,4,1,5,3,8,7,6]=>[2,2,2,1,1]=>10101011=>6 [7,6,8,2,4,1,3,5]=>[2,3,1,7,5,8,6,4]=>[2,2,2,1,1]=>10101011=>6 [7,6,8,2,5,1,3,4]=>[2,3,1,7,4,8,6,5]=>[2,2,2,1,1]=>10101011=>6 [7,6,8,3,5,1,2,4]=>[2,3,1,6,4,8,7,5]=>[2,2,2,1,1]=>10101011=>6 [8,3,6,2,5,1,4,7]=>[1,6,3,7,4,8,5,2]=>[2,2,2,1,1]=>10101011=>6 [8,4,6,2,5,1,3,7]=>[1,5,3,7,4,8,6,2]=>[2,2,2,1,1]=>10101011=>6 [8,4,6,3,5,1,2,7]=>[1,5,3,6,4,8,7,2]=>[2,2,2,1,1]=>10101011=>6 [8,5,6,2,4,1,3,7]=>[1,4,3,7,5,8,6,2]=>[2,2,2,1,1]=>10101011=>6 [8,3,7,2,5,1,4,6]=>[1,6,2,7,4,8,5,3]=>[2,2,2,1,1]=>10101011=>6 [8,4,7,2,5,1,3,6]=>[1,5,2,7,4,8,6,3]=>[2,2,2,1,1]=>10101011=>6 [8,4,7,3,5,1,2,6]=>[1,5,2,6,4,8,7,3]=>[2,2,2,1,1]=>10101011=>6 [8,5,7,2,4,1,3,6]=>[1,4,2,7,5,8,6,3]=>[2,2,2,1,1]=>10101011=>6 [8,5,7,3,4,1,2,6]=>[1,4,2,6,5,8,7,3]=>[2,2,2,1,1]=>10101011=>6 [8,3,7,2,6,1,4,5]=>[1,6,2,7,3,8,5,4]=>[2,2,2,1,1]=>10101011=>6 [8,4,7,2,6,1,3,5]=>[1,5,2,7,3,8,6,4]=>[2,2,2,1,1]=>10101011=>6 [8,4,7,3,6,1,2,5]=>[1,5,2,6,3,8,7,4]=>[2,2,2,1,1]=>10101011=>6 [8,5,7,2,6,1,3,4]=>[1,4,2,7,3,8,6,5]=>[2,2,2,1,1]=>10101011=>6 [8,5,7,3,6,1,2,4]=>[1,4,2,6,3,8,7,5]=>[2,2,2,1,1]=>10101011=>6 [8,5,7,4,6,1,2,3]=>[1,4,2,5,3,8,7,6]=>[2,2,2,1,1]=>10101011=>6 [8,6,7,2,4,1,3,5]=>[1,3,2,7,5,8,6,4]=>[2,2,2,1,1]=>10101011=>6 [8,6,7,2,5,1,3,4]=>[1,3,2,7,4,8,6,5]=>[2,2,2,1,1]=>10101011=>6 [8,6,7,3,5,1,2,4]=>[1,3,2,6,4,8,7,5]=>[2,2,2,1,1]=>10101011=>6 [5,4,3,2,7,1,6,8]=>[4,5,6,7,2,8,3,1]=>[4,2,1,1]=>10001011=>4 [6,4,3,2,7,1,5,8]=>[3,5,6,7,2,8,4,1]=>[4,2,1,1]=>10001011=>4 [6,5,3,2,7,1,4,8]=>[3,4,6,7,2,8,5,1]=>[4,2,1,1]=>10001011=>4 [6,5,4,2,7,1,3,8]=>[3,4,5,7,2,8,6,1]=>[4,2,1,1]=>10001011=>4 [7,4,3,2,6,1,5,8]=>[2,5,6,7,3,8,4,1]=>[4,2,1,1]=>10001011=>4 [7,5,3,2,6,1,4,8]=>[2,4,6,7,3,8,5,1]=>[4,2,1,1]=>10001011=>4 [7,5,4,2,6,1,3,8]=>[2,4,5,7,3,8,6,1]=>[4,2,1,1]=>10001011=>4 [7,6,3,2,5,1,4,8]=>[2,3,6,7,4,8,5,1]=>[4,2,1,1]=>10001011=>4 [7,6,4,2,5,1,3,8]=>[2,3,5,7,4,8,6,1]=>[4,2,1,1]=>10001011=>4 [7,6,5,2,4,1,3,8]=>[2,3,4,7,5,8,6,1]=>[4,2,1,1]=>10001011=>4 [5,4,3,2,8,1,6,7]=>[4,5,6,7,1,8,3,2]=>[4,2,1,1]=>10001011=>4 [6,4,3,2,8,1,5,7]=>[3,5,6,7,1,8,4,2]=>[4,2,1,1]=>10001011=>4 [6,5,3,2,8,1,4,7]=>[3,4,6,7,1,8,5,2]=>[4,2,1,1]=>10001011=>4 [6,5,4,2,8,1,3,7]=>[3,4,5,7,1,8,6,2]=>[4,2,1,1]=>10001011=>4 [6,5,4,3,8,1,2,7]=>[3,4,5,6,1,8,7,2]=>[4,2,1,1]=>10001011=>4 [7,4,3,2,8,1,5,6]=>[2,5,6,7,1,8,4,3]=>[4,2,1,1]=>10001011=>4 [7,5,3,2,8,1,4,6]=>[2,4,6,7,1,8,5,3]=>[4,2,1,1]=>10001011=>4 [7,5,4,2,8,1,3,6]=>[2,4,5,7,1,8,6,3]=>[4,2,1,1]=>10001011=>4 [7,5,4,3,8,1,2,6]=>[2,4,5,6,1,8,7,3]=>[4,2,1,1]=>10001011=>4 [7,6,3,2,8,1,4,5]=>[2,3,6,7,1,8,5,4]=>[4,2,1,1]=>10001011=>4 [7,6,4,2,8,1,3,5]=>[2,3,5,7,1,8,6,4]=>[4,2,1,1]=>10001011=>4 [7,6,5,2,8,1,3,4]=>[2,3,4,7,1,8,6,5]=>[4,2,1,1]=>10001011=>4 [7,6,5,3,8,1,2,4]=>[2,3,4,6,1,8,7,5]=>[4,2,1,1]=>10001011=>4 [8,4,3,2,6,1,5,7]=>[1,5,6,7,3,8,4,2]=>[4,2,1,1]=>10001011=>4 [8,5,3,2,6,1,4,7]=>[1,4,6,7,3,8,5,2]=>[4,2,1,1]=>10001011=>4 [8,5,4,2,6,1,3,7]=>[1,4,5,7,3,8,6,2]=>[4,2,1,1]=>10001011=>4 [8,6,3,2,5,1,4,7]=>[1,3,6,7,4,8,5,2]=>[4,2,1,1]=>10001011=>4 [8,6,4,2,5,1,3,7]=>[1,3,5,7,4,8,6,2]=>[4,2,1,1]=>10001011=>4 [8,6,5,2,4,1,3,7]=>[1,3,4,7,5,8,6,2]=>[4,2,1,1]=>10001011=>4 [8,4,3,2,7,1,5,6]=>[1,5,6,7,2,8,4,3]=>[4,2,1,1]=>10001011=>4 [8,5,3,2,7,1,4,6]=>[1,4,6,7,2,8,5,3]=>[4,2,1,1]=>10001011=>4 [8,5,4,2,7,1,3,6]=>[1,4,5,7,2,8,6,3]=>[4,2,1,1]=>10001011=>4 [8,5,4,3,7,1,2,6]=>[1,4,5,6,2,8,7,3]=>[4,2,1,1]=>10001011=>4 [8,6,3,2,7,1,4,5]=>[1,3,6,7,2,8,5,4]=>[4,2,1,1]=>10001011=>4 [8,6,4,2,7,1,3,5]=>[1,3,5,7,2,8,6,4]=>[4,2,1,1]=>10001011=>4 [8,6,4,3,7,1,2,5]=>[1,3,5,6,2,8,7,4]=>[4,2,1,1]=>10001011=>4 [8,6,5,3,7,1,2,4]=>[1,3,4,6,2,8,7,5]=>[4,2,1,1]=>10001011=>4 [8,7,3,2,5,1,4,6]=>[1,2,6,7,4,8,5,3]=>[4,2,1,1]=>10001011=>4 [8,7,4,2,5,1,3,6]=>[1,2,5,7,4,8,6,3]=>[4,2,1,1]=>10001011=>4 [8,7,5,2,4,1,3,6]=>[1,2,4,7,5,8,6,3]=>[4,2,1,1]=>10001011=>4 [8,7,3,2,6,1,4,5]=>[1,2,6,7,3,8,5,4]=>[4,2,1,1]=>10001011=>4 [8,7,4,2,6,1,3,5]=>[1,2,5,7,3,8,6,4]=>[4,2,1,1]=>10001011=>4 [8,7,4,3,6,1,2,5]=>[1,2,5,6,3,8,7,4]=>[4,2,1,1]=>10001011=>4 [8,7,5,2,6,1,3,4]=>[1,2,4,7,3,8,6,5]=>[4,2,1,1]=>10001011=>4 [8,7,5,3,6,1,2,4]=>[1,2,4,6,3,8,7,5]=>[4,2,1,1]=>10001011=>4 [8,7,6,2,4,1,3,5]=>[1,2,3,7,5,8,6,4]=>[4,2,1,1]=>10001011=>4 [8,7,6,2,5,1,3,4]=>[1,2,3,7,4,8,6,5]=>[4,2,1,1]=>10001011=>4 [8,7,6,3,5,1,2,4]=>[1,2,3,6,4,8,7,5]=>[4,2,1,1]=>10001011=>4 [4,8,3,7,2,6,1,5]=>[5,1,6,2,7,3,8,4]=>[1,2,2,2,1]=>11010101=>6 [5,8,3,7,2,6,1,4]=>[4,1,6,2,7,3,8,5]=>[1,2,2,2,1]=>11010101=>6 [5,8,4,7,2,6,1,3]=>[4,1,5,2,7,3,8,6]=>[1,2,2,2,1]=>11010101=>6 [5,8,4,7,3,6,1,2]=>[4,1,5,2,6,3,8,7]=>[1,2,2,2,1]=>11010101=>6 [6,8,3,7,2,5,1,4]=>[3,1,6,2,7,4,8,5]=>[1,2,2,2,1]=>11010101=>6 [6,8,4,7,2,5,1,3]=>[3,1,5,2,7,4,8,6]=>[1,2,2,2,1]=>11010101=>6 [6,8,4,7,3,5,1,2]=>[3,1,5,2,6,4,8,7]=>[1,2,2,2,1]=>11010101=>6 [6,8,5,7,2,4,1,3]=>[3,1,4,2,7,5,8,6]=>[1,2,2,2,1]=>11010101=>6 [6,8,5,7,3,4,1,2]=>[3,1,4,2,6,5,8,7]=>[1,2,2,2,1]=>11010101=>6 [7,8,3,6,2,5,1,4]=>[2,1,6,3,7,4,8,5]=>[1,2,2,2,1]=>11010101=>6 [7,8,4,6,2,5,1,3]=>[2,1,5,3,7,4,8,6]=>[1,2,2,2,1]=>11010101=>6 [7,8,4,6,3,5,1,2]=>[2,1,5,3,6,4,8,7]=>[1,2,2,2,1]=>11010101=>6 [7,8,5,6,2,4,1,3]=>[2,1,4,3,7,5,8,6]=>[1,2,2,2,1]=>11010101=>6 [5,4,3,8,2,7,1,6]=>[4,5,6,1,7,2,8,3]=>[3,2,2,1]=>10010101=>6 [6,4,3,8,2,7,1,5]=>[3,5,6,1,7,2,8,4]=>[3,2,2,1]=>10010101=>6 [6,5,3,8,2,7,1,4]=>[3,4,6,1,7,2,8,5]=>[3,2,2,1]=>10010101=>6 [6,5,4,8,2,7,1,3]=>[3,4,5,1,7,2,8,6]=>[3,2,2,1]=>10010101=>6 [6,5,4,8,3,7,1,2]=>[3,4,5,1,6,2,8,7]=>[3,2,2,1]=>10010101=>6 [7,4,3,8,2,6,1,5]=>[2,5,6,1,7,3,8,4]=>[3,2,2,1]=>10010101=>6 [7,5,3,8,2,6,1,4]=>[2,4,6,1,7,3,8,5]=>[3,2,2,1]=>10010101=>6 [7,5,4,8,2,6,1,3]=>[2,4,5,1,7,3,8,6]=>[3,2,2,1]=>10010101=>6 [7,5,4,8,3,6,1,2]=>[2,4,5,1,6,3,8,7]=>[3,2,2,1]=>10010101=>6 [7,6,3,8,2,5,1,4]=>[2,3,6,1,7,4,8,5]=>[3,2,2,1]=>10010101=>6 [7,6,4,8,2,5,1,3]=>[2,3,5,1,7,4,8,6]=>[3,2,2,1]=>10010101=>6 [7,6,4,8,3,5,1,2]=>[2,3,5,1,6,4,8,7]=>[3,2,2,1]=>10010101=>6 [7,6,5,8,2,4,1,3]=>[2,3,4,1,7,5,8,6]=>[3,2,2,1]=>10010101=>6 [8,4,3,7,2,6,1,5]=>[1,5,6,2,7,3,8,4]=>[3,2,2,1]=>10010101=>6 [8,5,3,7,2,6,1,4]=>[1,4,6,2,7,3,8,5]=>[3,2,2,1]=>10010101=>6 [8,5,4,7,2,6,1,3]=>[1,4,5,2,7,3,8,6]=>[3,2,2,1]=>10010101=>6 [8,5,4,7,3,6,1,2]=>[1,4,5,2,6,3,8,7]=>[3,2,2,1]=>10010101=>6 [8,6,3,7,2,5,1,4]=>[1,3,6,2,7,4,8,5]=>[3,2,2,1]=>10010101=>6 [8,6,4,7,2,5,1,3]=>[1,3,5,2,7,4,8,6]=>[3,2,2,1]=>10010101=>6 [8,6,4,7,3,5,1,2]=>[1,3,5,2,6,4,8,7]=>[3,2,2,1]=>10010101=>6 [8,6,5,7,2,4,1,3]=>[1,3,4,2,7,5,8,6]=>[3,2,2,1]=>10010101=>6 [8,7,3,6,2,5,1,4]=>[1,2,6,3,7,4,8,5]=>[3,2,2,1]=>10010101=>6 [8,7,4,6,2,5,1,3]=>[1,2,5,3,7,4,8,6]=>[3,2,2,1]=>10010101=>6 [8,7,4,6,3,5,1,2]=>[1,2,5,3,6,4,8,7]=>[3,2,2,1]=>10010101=>6 [8,7,5,6,2,4,1,3]=>[1,2,4,3,7,5,8,6]=>[3,2,2,1]=>10010101=>6 [6,5,4,3,2,8,1,7]=>[3,4,5,6,7,1,8,2]=>[5,2,1]=>10000101=>4 [7,6,4,3,2,8,1,5]=>[2,3,5,6,7,1,8,4]=>[5,2,1]=>10000101=>4 [7,6,5,3,2,8,1,4]=>[2,3,4,6,7,1,8,5]=>[5,2,1]=>10000101=>4 [7,6,5,4,2,8,1,3]=>[2,3,4,5,7,1,8,6]=>[5,2,1]=>10000101=>4 [8,5,4,3,2,7,1,6]=>[1,4,5,6,7,2,8,3]=>[5,2,1]=>10000101=>4 [8,6,4,3,2,7,1,5]=>[1,3,5,6,7,2,8,4]=>[5,2,1]=>10000101=>4 [8,6,5,3,2,7,1,4]=>[1,3,4,6,7,2,8,5]=>[5,2,1]=>10000101=>4 [8,6,5,4,2,7,1,3]=>[1,3,4,5,7,2,8,6]=>[5,2,1]=>10000101=>4 [8,7,4,3,2,6,1,5]=>[1,2,5,6,7,3,8,4]=>[5,2,1]=>10000101=>4 [8,7,5,3,2,6,1,4]=>[1,2,4,6,7,3,8,5]=>[5,2,1]=>10000101=>4 [8,7,5,4,2,6,1,3]=>[1,2,4,5,7,3,8,6]=>[5,2,1]=>10000101=>4 [8,7,6,3,2,5,1,4]=>[1,2,3,6,7,4,8,5]=>[5,2,1]=>10000101=>4 [8,7,6,4,2,5,1,3]=>[1,2,3,5,7,4,8,6]=>[5,2,1]=>10000101=>4 [8,7,6,5,2,4,1,3]=>[1,2,3,4,7,5,8,6]=>[5,2,1]=>10000101=>4 [8,1,2,3,4,7,5,6]=>[1,8,7,6,5,2,4,3]=>[2,1,1,1,2,1]=>10111101=>4 [8,1,2,3,7,4,5,6]=>[1,8,7,6,2,5,4,3]=>[2,1,1,2,1,1]=>10111011=>4 [7,1,2,3,6,4,8,5]=>[2,8,7,6,3,5,1,4]=>[2,1,1,2,2]=>10111010=>5 [5,1,2,3,8,7,4,6]=>[4,8,7,6,1,2,5,3]=>[2,1,1,3,1]=>10111001=>4 [8,1,2,3,6,7,4,5]=>[1,8,7,6,3,2,5,4]=>[2,1,1,1,2,1]=>10111101=>4 [4,1,2,8,3,7,5,6]=>[5,8,7,1,6,2,4,3]=>[2,1,2,2,1]=>10110101=>6 [8,1,2,5,3,4,6,7]=>[1,8,7,4,6,5,3,2]=>[2,1,2,1,1,1]=>10110111=>4 [8,1,2,6,3,4,5,7]=>[1,8,7,3,6,5,4,2]=>[2,1,2,1,1,1]=>10110111=>4 [7,1,2,6,3,4,8,5]=>[2,8,7,3,6,5,1,4]=>[2,1,2,1,2]=>10110110=>5 [6,1,2,5,3,8,4,7]=>[3,8,7,4,6,1,5,2]=>[2,1,2,2,1]=>10110101=>6 [8,1,2,5,3,7,4,6]=>[1,8,7,4,6,2,5,3]=>[2,1,2,2,1]=>10110101=>6 [8,1,2,6,3,7,4,5]=>[1,8,7,3,6,2,5,4]=>[2,1,2,2,1]=>10110101=>6 [6,1,2,5,3,7,8,4]=>[3,8,7,4,6,2,1,5]=>[2,1,2,1,2]=>10110110=>5 [4,1,2,8,6,3,5,7]=>[5,8,7,1,3,6,4,2]=>[2,1,3,1,1]=>10110011=>4 [4,1,2,8,7,3,5,6]=>[5,8,7,1,2,6,4,3]=>[2,1,3,1,1]=>10110011=>4 [4,1,2,7,6,3,8,5]=>[5,8,7,2,3,6,1,4]=>[2,1,3,2]=>10110010=>5 [8,1,2,5,6,3,4,7]=>[1,8,7,4,3,6,5,2]=>[2,1,1,2,1,1]=>10111011=>4 [8,1,2,5,7,3,4,6]=>[1,8,7,4,2,6,5,3]=>[2,1,1,2,1,1]=>10111011=>4 [8,1,2,7,6,3,4,5]=>[1,8,7,2,3,6,5,4]=>[2,1,3,1,1]=>10110011=>4 [7,1,2,5,6,3,8,4]=>[2,8,7,4,3,6,1,5]=>[2,1,1,2,2]=>10111010=>5 [4,1,2,5,8,7,3,6]=>[5,8,7,4,1,2,6,3]=>[2,1,1,3,1]=>10111001=>4 [8,1,2,5,6,7,3,4]=>[1,8,7,4,3,2,6,5]=>[2,1,1,1,2,1]=>10111101=>4 [3,1,8,2,4,7,5,6]=>[6,8,1,7,5,2,4,3]=>[2,2,1,2,1]=>10101101=>6 [3,1,8,2,6,4,5,7]=>[6,8,1,7,3,5,4,2]=>[2,2,2,1,1]=>10101011=>6 [3,1,8,2,7,4,5,6]=>[6,8,1,7,2,5,4,3]=>[2,2,2,1,1]=>10101011=>6 [3,1,7,2,6,4,8,5]=>[6,8,2,7,3,5,1,4]=>[2,2,2,2]=>10101010=>7 [3,1,8,2,6,7,4,5]=>[6,8,1,7,3,2,5,4]=>[2,2,1,2,1]=>10101101=>6 [7,1,4,2,3,5,8,6]=>[2,8,5,7,6,4,1,3]=>[2,2,1,1,2]=>10101110=>5 [6,1,4,2,3,8,5,7]=>[3,8,5,7,6,1,4,2]=>[2,2,1,2,1]=>10101101=>6 [8,1,4,2,3,7,5,6]=>[1,8,5,7,6,2,4,3]=>[2,2,1,2,1]=>10101101=>6 [6,1,4,2,3,7,8,5]=>[3,8,5,7,6,2,1,4]=>[2,2,1,1,2]=>10101110=>5 [8,1,5,2,3,4,6,7]=>[1,8,4,7,6,5,3,2]=>[2,2,1,1,1,1]=>10101111=>4 [7,1,5,2,3,4,8,6]=>[2,8,4,7,6,5,1,3]=>[2,2,1,1,2]=>10101110=>5 [8,1,7,2,3,4,5,6]=>[1,8,2,7,6,5,4,3]=>[2,2,1,1,1,1]=>10101111=>4 [6,1,5,2,3,8,4,7]=>[3,8,4,7,6,1,5,2]=>[2,2,1,2,1]=>10101101=>6 [8,1,5,2,3,7,4,6]=>[1,8,4,7,6,2,5,3]=>[2,2,1,2,1]=>10101101=>6 [6,1,8,2,3,7,4,5]=>[3,8,1,7,6,2,5,4]=>[2,2,1,2,1]=>10101101=>6 [6,1,5,2,3,7,8,4]=>[3,8,4,7,6,2,1,5]=>[2,2,1,1,2]=>10101110=>5 [5,1,4,2,8,3,6,7]=>[4,8,5,7,1,6,3,2]=>[2,2,2,1,1]=>10101011=>6 [5,1,4,2,7,3,8,6]=>[4,8,5,7,2,6,1,3]=>[2,2,2,2]=>10101010=>7 [8,1,4,2,6,3,5,7]=>[1,8,5,7,3,6,4,2]=>[2,2,2,1,1]=>10101011=>6 [8,1,4,2,7,3,5,6]=>[1,8,5,7,2,6,4,3]=>[2,2,2,1,1]=>10101011=>6 [7,1,4,2,6,3,8,5]=>[2,8,5,7,3,6,1,4]=>[2,2,2,2]=>10101010=>7 [8,1,5,2,6,3,4,7]=>[1,8,4,7,3,6,5,2]=>[2,2,2,1,1]=>10101011=>6 [8,1,5,2,7,3,4,6]=>[1,8,4,7,2,6,5,3]=>[2,2,2,1,1]=>10101011=>6 [7,1,5,2,6,3,8,4]=>[2,8,4,7,3,6,1,5]=>[2,2,2,2]=>10101010=>7 [5,1,4,2,6,8,3,7]=>[4,8,5,7,3,1,6,2]=>[2,2,1,2,1]=>10101101=>6 [5,1,4,2,8,7,3,6]=>[4,8,5,7,1,2,6,3]=>[2,2,3,1]=>10101001=>6 [8,1,4,2,6,7,3,5]=>[1,8,5,7,3,2,6,4]=>[2,2,1,2,1]=>10101101=>6 [8,1,5,2,6,7,3,4]=>[1,8,4,7,3,2,6,5]=>[2,2,1,2,1]=>10101101=>6 [5,1,4,2,6,7,8,3]=>[4,8,5,7,3,2,1,6]=>[2,2,1,1,2]=>10101110=>5 [3,1,4,8,2,7,5,6]=>[6,8,5,1,7,2,4,3]=>[2,1,2,2,1]=>10110101=>6 [3,1,8,5,2,4,6,7]=>[6,8,1,4,7,5,3,2]=>[2,3,1,1,1]=>10100111=>4 [3,1,7,5,2,4,8,6]=>[6,8,2,4,7,5,1,3]=>[2,3,1,2]=>10100110=>5 [3,1,8,6,2,4,5,7]=>[6,8,1,3,7,5,4,2]=>[2,3,1,1,1]=>10100111=>4 [3,1,7,6,2,4,8,5]=>[6,8,2,3,7,5,1,4]=>[2,3,1,2]=>10100110=>5 [3,1,6,5,2,8,4,7]=>[6,8,3,4,7,1,5,2]=>[2,3,2,1]=>10100101=>6 [3,1,8,5,2,7,4,6]=>[6,8,1,4,7,2,5,3]=>[2,3,2,1]=>10100101=>6 [3,1,8,6,2,7,4,5]=>[6,8,1,3,7,2,5,4]=>[2,3,2,1]=>10100101=>6 [3,1,6,5,2,7,8,4]=>[6,8,3,4,7,2,1,5]=>[2,3,1,2]=>10100110=>5 [8,1,4,5,2,3,6,7]=>[1,8,5,4,7,6,3,2]=>[2,1,2,1,1,1]=>10110111=>4 [7,1,4,5,2,3,8,6]=>[2,8,5,4,7,6,1,3]=>[2,1,2,1,2]=>10110110=>5 [8,1,4,6,2,3,5,7]=>[1,8,5,3,7,6,4,2]=>[2,1,2,1,1,1]=>10110111=>4 [7,1,4,8,2,3,5,6]=>[2,8,5,1,7,6,4,3]=>[2,1,2,1,1,1]=>10110111=>4 [8,1,6,5,2,3,4,7]=>[1,8,3,4,7,6,5,2]=>[2,3,1,1,1]=>10100111=>4 [7,1,8,5,2,3,4,6]=>[2,8,1,4,7,6,5,3]=>[2,3,1,1,1]=>10100111=>4 [7,1,8,6,2,3,4,5]=>[2,8,1,3,7,6,5,4]=>[2,3,1,1,1]=>10100111=>4 [7,1,6,5,2,3,8,4]=>[2,8,3,4,7,6,1,5]=>[2,3,1,2]=>10100110=>5 [8,1,4,5,2,7,3,6]=>[1,8,5,4,7,2,6,3]=>[2,1,2,2,1]=>10110101=>6 [8,1,4,6,2,7,3,5]=>[1,8,5,3,7,2,6,4]=>[2,1,2,2,1]=>10110101=>6 [8,1,6,5,2,7,3,4]=>[1,8,3,4,7,2,6,5]=>[2,3,2,1]=>10100101=>6 [6,1,4,5,2,7,8,3]=>[3,8,5,4,7,2,1,6]=>[2,1,2,1,2]=>10110110=>5 [3,1,4,8,6,2,5,7]=>[6,8,5,1,3,7,4,2]=>[2,1,3,1,1]=>10110011=>4 [3,1,4,8,7,2,5,6]=>[6,8,5,1,2,7,4,3]=>[2,1,3,1,1]=>10110011=>4 [3,1,4,7,6,2,8,5]=>[6,8,5,2,3,7,1,4]=>[2,1,3,2]=>10110010=>5 [3,1,8,5,6,2,4,7]=>[6,8,1,4,3,7,5,2]=>[2,2,2,1,1]=>10101011=>6 [3,1,8,5,7,2,4,6]=>[6,8,1,4,2,7,5,3]=>[2,2,2,1,1]=>10101011=>6 [3,1,8,7,6,2,4,5]=>[6,8,1,2,3,7,5,4]=>[2,4,1,1]=>10100011=>4 [3,1,7,5,6,2,8,4]=>[6,8,2,4,3,7,1,5]=>[2,2,2,2]=>10101010=>7 [8,1,4,5,6,2,3,7]=>[1,8,5,4,3,7,6,2]=>[2,1,1,2,1,1]=>10111011=>4 [8,1,4,5,7,2,3,6]=>[1,8,5,4,2,7,6,3]=>[2,1,1,2,1,1]=>10111011=>4 [8,1,4,7,6,2,3,5]=>[1,8,5,2,3,7,6,4]=>[2,1,3,1,1]=>10110011=>4 [8,1,7,5,6,2,3,4]=>[1,8,2,4,3,7,6,5]=>[2,2,2,1,1]=>10101011=>6 [7,1,4,5,6,2,8,3]=>[2,8,5,4,3,7,1,6]=>[2,1,1,2,2]=>10111010=>5 [3,1,4,5,8,7,2,6]=>[6,8,5,4,1,2,7,3]=>[2,1,1,3,1]=>10111001=>4 [3,1,4,8,6,7,2,5]=>[6,8,5,1,3,2,7,4]=>[2,1,2,2,1]=>10110101=>6 [3,1,8,5,6,7,2,4]=>[6,8,1,4,3,2,7,5]=>[2,2,1,2,1]=>10101101=>6 [8,1,4,5,6,7,2,3]=>[1,8,5,4,3,2,7,6]=>[2,1,1,1,2,1]=>10111101=>4 [2,8,1,3,4,7,5,6]=>[7,1,8,6,5,2,4,3]=>[1,2,1,1,2,1]=>11011101=>4 [2,8,1,3,6,4,5,7]=>[7,1,8,6,3,5,4,2]=>[1,2,1,2,1,1]=>11011011=>4 [2,8,1,3,7,4,5,6]=>[7,1,8,6,2,5,4,3]=>[1,2,1,2,1,1]=>11011011=>4 [2,7,1,3,6,4,8,5]=>[7,2,8,6,3,5,1,4]=>[1,2,1,2,2]=>11011010=>5 [2,5,1,3,8,7,4,6]=>[7,4,8,6,1,2,5,3]=>[1,2,1,3,1]=>11011001=>4 [2,8,1,3,6,7,4,5]=>[7,1,8,6,3,2,5,4]=>[1,2,1,1,2,1]=>11011101=>4 [2,4,1,8,3,7,5,6]=>[7,5,8,1,6,2,4,3]=>[1,2,2,2,1]=>11010101=>6 [2,8,1,5,3,4,6,7]=>[7,1,8,4,6,5,3,2]=>[1,2,2,1,1,1]=>11010111=>4 [2,7,1,5,3,4,8,6]=>[7,2,8,4,6,5,1,3]=>[1,2,2,1,2]=>11010110=>5 [2,8,1,6,3,4,5,7]=>[7,1,8,3,6,5,4,2]=>[1,2,2,1,1,1]=>11010111=>4 [2,7,1,6,3,4,8,5]=>[7,2,8,3,6,5,1,4]=>[1,2,2,1,2]=>11010110=>5 [2,6,1,5,3,8,4,7]=>[7,3,8,4,6,1,5,2]=>[1,2,2,2,1]=>11010101=>6 [2,8,1,6,3,7,4,5]=>[7,1,8,3,6,2,5,4]=>[1,2,2,2,1]=>11010101=>6 [2,6,1,5,3,7,8,4]=>[7,3,8,4,6,2,1,5]=>[1,2,2,1,2]=>11010110=>5 [2,4,1,8,6,3,5,7]=>[7,5,8,1,3,6,4,2]=>[1,2,3,1,1]=>11010011=>4 [2,4,1,7,6,3,8,5]=>[7,5,8,2,3,6,1,4]=>[1,2,3,2]=>11010010=>5 [2,8,1,5,6,3,4,7]=>[7,1,8,4,3,6,5,2]=>[1,2,1,2,1,1]=>11011011=>4 [2,8,1,5,7,3,4,6]=>[7,1,8,4,2,6,5,3]=>[1,2,1,2,1,1]=>11011011=>4 [2,8,1,7,6,3,4,5]=>[7,1,8,2,3,6,5,4]=>[1,2,3,1,1]=>11010011=>4 [2,7,1,5,6,3,8,4]=>[7,2,8,4,3,6,1,5]=>[1,2,1,2,2]=>11011010=>5 [2,4,1,5,8,7,3,6]=>[7,5,8,4,1,2,6,3]=>[1,2,1,3,1]=>11011001=>4 [2,4,1,8,6,7,3,5]=>[7,5,8,1,3,2,6,4]=>[1,2,2,2,1]=>11010101=>6 [2,8,1,5,6,7,3,4]=>[7,1,8,4,3,2,6,5]=>[1,2,1,1,2,1]=>11011101=>4 [7,3,1,2,4,5,8,6]=>[2,6,8,7,5,4,1,3]=>[3,1,1,1,2]=>10011110=>3 [6,3,1,2,4,8,5,7]=>[3,6,8,7,5,1,4,2]=>[3,1,1,2,1]=>10011101=>4 [8,3,1,2,4,7,5,6]=>[1,6,8,7,5,2,4,3]=>[3,1,1,2,1]=>10011101=>4 [6,3,1,2,4,7,8,5]=>[3,6,8,7,5,2,1,4]=>[3,1,1,1,2]=>10011110=>3 [5,3,1,2,8,4,6,7]=>[4,6,8,7,1,5,3,2]=>[3,1,2,1,1]=>10011011=>4 [5,3,1,2,7,4,8,6]=>[4,6,8,7,2,5,1,3]=>[3,1,2,2]=>10011010=>5 [8,3,1,2,6,4,5,7]=>[1,6,8,7,3,5,4,2]=>[3,1,2,1,1]=>10011011=>4 [8,3,1,2,7,4,5,6]=>[1,6,8,7,2,5,4,3]=>[3,1,2,1,1]=>10011011=>4 [7,3,1,2,6,4,8,5]=>[2,6,8,7,3,5,1,4]=>[3,1,2,2]=>10011010=>5 [5,3,1,2,6,8,4,7]=>[4,6,8,7,3,1,5,2]=>[3,1,1,2,1]=>10011101=>4 [5,3,1,2,6,7,8,4]=>[4,6,8,7,3,2,1,5]=>[3,1,1,1,2]=>10011110=>3 [7,4,1,2,3,5,8,6]=>[2,5,8,7,6,4,1,3]=>[3,1,1,1,2]=>10011110=>3 [6,4,1,2,3,8,5,7]=>[3,5,8,7,6,1,4,2]=>[3,1,1,2,1]=>10011101=>4 [8,4,1,2,3,7,5,6]=>[1,5,8,7,6,2,4,3]=>[3,1,1,2,1]=>10011101=>4 [7,6,1,2,3,4,8,5]=>[2,3,8,7,6,5,1,4]=>[3,1,1,1,2]=>10011110=>3 [5,8,1,2,3,7,4,6]=>[4,1,8,7,6,2,5,3]=>[1,2,1,1,2,1]=>11011101=>4 [8,6,1,2,3,7,4,5]=>[1,3,8,7,6,2,5,4]=>[3,1,1,2,1]=>10011101=>4 [5,4,1,2,8,3,6,7]=>[4,5,8,7,1,6,3,2]=>[3,1,2,1,1]=>10011011=>4 [5,4,1,2,7,3,8,6]=>[4,5,8,7,2,6,1,3]=>[3,1,2,2]=>10011010=>5 [8,4,1,2,6,3,5,7]=>[1,5,8,7,3,6,4,2]=>[3,1,2,1,1]=>10011011=>4 [8,4,1,2,7,3,5,6]=>[1,5,8,7,2,6,4,3]=>[3,1,2,1,1]=>10011011=>4 [7,4,1,2,6,3,8,5]=>[2,5,8,7,3,6,1,4]=>[3,1,2,2]=>10011010=>5 [5,8,1,2,6,3,4,7]=>[4,1,8,7,3,6,5,2]=>[1,2,1,2,1,1]=>11011011=>4 [5,8,1,2,7,3,4,6]=>[4,1,8,7,2,6,5,3]=>[1,2,1,2,1,1]=>11011011=>4 [8,7,1,2,6,3,4,5]=>[1,2,8,7,3,6,5,4]=>[3,1,2,1,1]=>10011011=>4 [5,7,1,2,6,3,8,4]=>[4,2,8,7,3,6,1,5]=>[1,2,1,2,2]=>11011010=>5 [5,4,1,2,6,8,3,7]=>[4,5,8,7,3,1,6,2]=>[3,1,1,2,1]=>10011101=>4 [5,4,1,2,8,7,3,6]=>[4,5,8,7,1,2,6,3]=>[3,1,3,1]=>10011001=>4 [8,4,1,2,6,7,3,5]=>[1,5,8,7,3,2,6,4]=>[3,1,1,2,1]=>10011101=>4 [5,8,1,2,6,7,3,4]=>[4,1,8,7,3,2,6,5]=>[1,2,1,1,2,1]=>11011101=>4 [5,4,1,2,6,7,8,3]=>[4,5,8,7,3,2,1,6]=>[3,1,1,1,2]=>10011110=>3 [4,3,1,8,2,5,6,7]=>[5,6,8,1,7,4,3,2]=>[3,2,1,1,1]=>10010111=>4 [4,3,1,7,2,5,8,6]=>[5,6,8,2,7,4,1,3]=>[3,2,1,2]=>10010110=>5 [4,3,1,6,2,7,8,5]=>[5,6,8,3,7,2,1,4]=>[3,2,1,2]=>10010110=>5 [8,3,1,5,2,4,6,7]=>[1,6,8,4,7,5,3,2]=>[3,2,1,1,1]=>10010111=>4 [7,3,1,5,2,4,8,6]=>[2,6,8,4,7,5,1,3]=>[3,2,1,2]=>10010110=>5 [8,3,1,6,2,4,5,7]=>[1,6,8,3,7,5,4,2]=>[3,2,1,1,1]=>10010111=>4 [7,3,1,8,2,4,5,6]=>[2,6,8,1,7,5,4,3]=>[3,2,1,1,1]=>10010111=>4 [7,3,1,6,2,4,8,5]=>[2,6,8,3,7,5,1,4]=>[3,2,1,2]=>10010110=>5 [6,3,1,5,2,8,4,7]=>[3,6,8,4,7,1,5,2]=>[3,2,2,1]=>10010101=>6 [8,3,1,5,2,7,4,6]=>[1,6,8,4,7,2,5,3]=>[3,2,2,1]=>10010101=>6 [8,3,1,6,2,7,4,5]=>[1,6,8,3,7,2,5,4]=>[3,2,2,1]=>10010101=>6 [6,3,1,5,2,7,8,4]=>[3,6,8,4,7,2,1,5]=>[3,2,1,2]=>10010110=>5 [8,4,1,5,2,3,6,7]=>[1,5,8,4,7,6,3,2]=>[3,2,1,1,1]=>10010111=>4 [7,4,1,5,2,3,8,6]=>[2,5,8,4,7,6,1,3]=>[3,2,1,2]=>10010110=>5 [8,4,1,6,2,3,5,7]=>[1,5,8,3,7,6,4,2]=>[3,2,1,1,1]=>10010111=>4 [7,4,1,8,2,3,5,6]=>[2,5,8,1,7,6,4,3]=>[3,2,1,1,1]=>10010111=>4 [7,4,1,6,2,3,8,5]=>[2,5,8,3,7,6,1,4]=>[3,2,1,2]=>10010110=>5 [6,8,1,5,2,3,4,7]=>[3,1,8,4,7,6,5,2]=>[1,2,2,1,1,1]=>11010111=>4 [8,7,1,5,2,3,4,6]=>[1,2,8,4,7,6,5,3]=>[3,2,1,1,1]=>10010111=>4 [8,7,1,6,2,3,4,5]=>[1,2,8,3,7,6,5,4]=>[3,2,1,1,1]=>10010111=>4 [6,7,1,5,2,3,8,4]=>[3,2,8,4,7,6,1,5]=>[1,2,2,1,2]=>11010110=>5 [6,4,1,5,2,8,3,7]=>[3,5,8,4,7,1,6,2]=>[3,2,2,1]=>10010101=>6 [8,4,1,5,2,7,3,6]=>[1,5,8,4,7,2,6,3]=>[3,2,2,1]=>10010101=>6 [8,4,1,6,2,7,3,5]=>[1,5,8,3,7,2,6,4]=>[3,2,2,1]=>10010101=>6 [6,8,1,5,2,7,3,4]=>[3,1,8,4,7,2,6,5]=>[1,2,2,2,1]=>11010101=>6 [6,4,1,5,2,7,8,3]=>[3,5,8,4,7,2,1,6]=>[3,2,1,2]=>10010110=>5 [4,3,1,5,8,2,6,7]=>[5,6,8,4,1,7,3,2]=>[3,1,2,1,1]=>10011011=>4 [4,3,1,5,7,2,8,6]=>[5,6,8,4,2,7,1,3]=>[3,1,2,2]=>10011010=>5 [4,3,1,8,7,2,5,6]=>[5,6,8,1,2,7,4,3]=>[3,3,1,1]=>10010011=>4 [4,3,1,7,6,2,8,5]=>[5,6,8,2,3,7,1,4]=>[3,3,2]=>10010010=>5 [8,3,1,5,6,2,4,7]=>[1,6,8,4,3,7,5,2]=>[3,1,2,1,1]=>10011011=>4 [8,3,1,5,7,2,4,6]=>[1,6,8,4,2,7,5,3]=>[3,1,2,1,1]=>10011011=>4 [8,3,1,7,6,2,4,5]=>[1,6,8,2,3,7,5,4]=>[3,3,1,1]=>10010011=>4 [7,3,1,5,6,2,8,4]=>[2,6,8,4,3,7,1,5]=>[3,1,2,2]=>10011010=>5 [8,4,1,5,6,2,3,7]=>[1,5,8,4,3,7,6,2]=>[3,1,2,1,1]=>10011011=>4 [8,4,1,5,7,2,3,6]=>[1,5,8,4,2,7,6,3]=>[3,1,2,1,1]=>10011011=>4 [8,4,1,7,6,2,3,5]=>[1,5,8,2,3,7,6,4]=>[3,3,1,1]=>10010011=>4 [7,8,1,5,6,2,3,4]=>[2,1,8,4,3,7,6,5]=>[1,2,1,2,1,1]=>11011011=>4 [7,4,1,5,6,2,8,3]=>[2,5,8,4,3,7,1,6]=>[3,1,2,2]=>10011010=>5 [4,3,1,5,6,8,2,7]=>[5,6,8,4,3,1,7,2]=>[3,1,1,2,1]=>10011101=>4 [4,3,1,5,8,7,2,6]=>[5,6,8,4,1,2,7,3]=>[3,1,3,1]=>10011001=>4 [4,3,1,8,6,7,2,5]=>[5,6,8,1,3,2,7,4]=>[3,2,2,1]=>10010101=>6 [8,3,1,5,6,7,2,4]=>[1,6,8,4,3,2,7,5]=>[3,1,1,2,1]=>10011101=>4 [8,4,1,5,6,7,2,3]=>[1,5,8,4,3,2,7,6]=>[3,1,1,2,1]=>10011101=>4 [4,3,1,5,6,7,8,2]=>[5,6,8,4,3,2,1,7]=>[3,1,1,1,2]=>10011110=>3 [2,3,8,1,4,7,5,6]=>[7,6,1,8,5,2,4,3]=>[1,1,2,1,2,1]=>11101101=>4 [2,3,8,1,7,4,5,6]=>[7,6,1,8,2,5,4,3]=>[1,1,2,2,1,1]=>11101011=>4 [2,3,7,1,6,4,8,5]=>[7,6,2,8,3,5,1,4]=>[1,1,2,2,2]=>11101010=>5 [2,3,5,1,8,7,4,6]=>[7,6,4,8,1,2,5,3]=>[1,1,2,3,1]=>11101001=>4 [2,3,8,1,6,7,4,5]=>[7,6,1,8,3,2,5,4]=>[1,1,2,1,2,1]=>11101101=>4 [2,8,4,1,3,5,6,7]=>[7,1,5,8,6,4,3,2]=>[1,3,1,1,1,1]=>11001111=>2 [2,7,4,1,3,5,8,6]=>[7,2,5,8,6,4,1,3]=>[1,3,1,1,2]=>11001110=>3 [2,6,4,1,3,8,5,7]=>[7,3,5,8,6,1,4,2]=>[1,3,1,2,1]=>11001101=>4 [2,8,4,1,3,7,5,6]=>[7,1,5,8,6,2,4,3]=>[1,3,1,2,1]=>11001101=>4 [2,6,4,1,3,7,8,5]=>[7,3,5,8,6,2,1,4]=>[1,3,1,1,2]=>11001110=>3 [2,7,5,1,3,4,8,6]=>[7,2,4,8,6,5,1,3]=>[1,3,1,1,2]=>11001110=>3 [2,8,7,1,3,4,5,6]=>[7,1,2,8,6,5,4,3]=>[1,3,1,1,1,1]=>11001111=>2 [2,6,5,1,3,8,4,7]=>[7,3,4,8,6,1,5,2]=>[1,3,1,2,1]=>11001101=>4 [2,8,5,1,3,7,4,6]=>[7,1,4,8,6,2,5,3]=>[1,3,1,2,1]=>11001101=>4 [2,6,8,1,3,7,4,5]=>[7,3,1,8,6,2,5,4]=>[1,1,2,1,2,1]=>11101101=>4 [2,6,5,1,3,7,8,4]=>[7,3,4,8,6,2,1,5]=>[1,3,1,1,2]=>11001110=>3 [2,5,4,1,8,3,6,7]=>[7,4,5,8,1,6,3,2]=>[1,3,2,1,1]=>11001011=>4 [2,5,4,1,7,3,8,6]=>[7,4,5,8,2,6,1,3]=>[1,3,2,2]=>11001010=>5 [2,8,4,1,6,3,5,7]=>[7,1,5,8,3,6,4,2]=>[1,3,2,1,1]=>11001011=>4 [2,8,4,1,7,3,5,6]=>[7,1,5,8,2,6,4,3]=>[1,3,2,1,1]=>11001011=>4 [2,7,4,1,6,3,8,5]=>[7,2,5,8,3,6,1,4]=>[1,3,2,2]=>11001010=>5 [2,8,5,1,6,3,4,7]=>[7,1,4,8,3,6,5,2]=>[1,3,2,1,1]=>11001011=>4 [2,8,5,1,7,3,4,6]=>[7,1,4,8,2,6,5,3]=>[1,3,2,1,1]=>11001011=>4 [2,7,8,1,6,3,4,5]=>[7,2,1,8,3,6,5,4]=>[1,1,2,2,1,1]=>11101011=>4 [2,7,5,1,6,3,8,4]=>[7,2,4,8,3,6,1,5]=>[1,3,2,2]=>11001010=>5 [2,5,4,1,6,8,3,7]=>[7,4,5,8,3,1,6,2]=>[1,3,1,2,1]=>11001101=>4 [2,5,4,1,8,7,3,6]=>[7,4,5,8,1,2,6,3]=>[1,3,3,1]=>11001001=>4 [2,8,4,1,6,7,3,5]=>[7,1,5,8,3,2,6,4]=>[1,3,1,2,1]=>11001101=>4 [2,8,5,1,6,7,3,4]=>[7,1,4,8,3,2,6,5]=>[1,3,1,2,1]=>11001101=>4 [2,5,4,1,6,7,8,3]=>[7,4,5,8,3,2,1,6]=>[1,3,1,1,2]=>11001110=>3 [7,3,4,1,2,5,8,6]=>[2,6,5,8,7,4,1,3]=>[2,2,1,1,2]=>10101110=>5 [6,3,4,1,2,8,5,7]=>[3,6,5,8,7,1,4,2]=>[2,2,1,2,1]=>10101101=>6 [8,3,4,1,2,7,5,6]=>[1,6,5,8,7,2,4,3]=>[2,2,1,2,1]=>10101101=>6 [6,3,4,1,2,7,8,5]=>[3,6,5,8,7,2,1,4]=>[2,2,1,1,2]=>10101110=>5 [7,3,5,1,2,4,8,6]=>[2,6,4,8,7,5,1,3]=>[2,2,1,1,2]=>10101110=>5 [6,3,7,1,2,4,8,5]=>[3,6,2,8,7,5,1,4]=>[2,2,1,1,2]=>10101110=>5 [6,3,5,1,2,8,4,7]=>[3,6,4,8,7,1,5,2]=>[2,2,1,2,1]=>10101101=>6 [8,3,5,1,2,7,4,6]=>[1,6,4,8,7,2,5,3]=>[2,2,1,2,1]=>10101101=>6 [6,3,8,1,2,7,4,5]=>[3,6,1,8,7,2,5,4]=>[2,2,1,2,1]=>10101101=>6 [6,3,5,1,2,7,8,4]=>[3,6,4,8,7,2,1,5]=>[2,2,1,1,2]=>10101110=>5 [7,5,4,1,2,3,8,6]=>[2,4,5,8,7,6,1,3]=>[4,1,1,2]=>10001110=>3 [6,8,4,1,2,3,5,7]=>[3,1,5,8,7,6,4,2]=>[1,3,1,1,1,1]=>11001111=>2 [6,7,4,1,2,3,8,5]=>[3,2,5,8,7,6,1,4]=>[1,3,1,1,2]=>11001110=>3 [6,8,5,1,2,3,4,7]=>[3,1,4,8,7,6,5,2]=>[1,3,1,1,1,1]=>11001111=>2 [6,7,5,1,2,3,8,4]=>[3,2,4,8,7,6,1,5]=>[1,3,1,1,2]=>11001110=>3 [8,5,4,1,2,7,3,6]=>[1,4,5,8,7,2,6,3]=>[4,1,2,1]=>10001101=>4 [6,8,4,1,2,7,3,5]=>[3,1,5,8,7,2,6,4]=>[1,3,1,2,1]=>11001101=>4 [6,8,5,1,2,7,3,4]=>[3,1,4,8,7,2,6,5]=>[1,3,1,2,1]=>11001101=>4 [6,5,4,1,2,7,8,3]=>[3,4,5,8,7,2,1,6]=>[4,1,1,2]=>10001110=>3 [5,3,4,1,8,2,6,7]=>[4,6,5,8,1,7,3,2]=>[2,2,2,1,1]=>10101011=>6 [5,3,4,1,7,2,8,6]=>[4,6,5,8,2,7,1,3]=>[2,2,2,2]=>10101010=>7 [8,3,4,1,6,2,5,7]=>[1,6,5,8,3,7,4,2]=>[2,2,2,1,1]=>10101011=>6 [8,3,4,1,7,2,5,6]=>[1,6,5,8,2,7,4,3]=>[2,2,2,1,1]=>10101011=>6 [7,3,4,1,6,2,8,5]=>[2,6,5,8,3,7,1,4]=>[2,2,2,2]=>10101010=>7 [8,3,5,1,6,2,4,7]=>[1,6,4,8,3,7,5,2]=>[2,2,2,1,1]=>10101011=>6 [8,3,5,1,7,2,4,6]=>[1,6,4,8,2,7,5,3]=>[2,2,2,1,1]=>10101011=>6 [7,3,8,1,6,2,4,5]=>[2,6,1,8,3,7,5,4]=>[2,2,2,1,1]=>10101011=>6 [7,3,5,1,6,2,8,4]=>[2,6,4,8,3,7,1,5]=>[2,2,2,2]=>10101010=>7 [8,5,4,1,6,2,3,7]=>[1,4,5,8,3,7,6,2]=>[4,2,1,1]=>10001011=>4 [8,5,4,1,7,2,3,6]=>[1,4,5,8,2,7,6,3]=>[4,2,1,1]=>10001011=>4 [7,8,4,1,6,2,3,5]=>[2,1,5,8,3,7,6,4]=>[1,3,2,1,1]=>11001011=>4 [7,8,5,1,6,2,3,4]=>[2,1,4,8,3,7,6,5]=>[1,3,2,1,1]=>11001011=>4 [7,5,4,1,6,2,8,3]=>[2,4,5,8,3,7,1,6]=>[4,2,2]=>10001010=>5 [5,3,4,1,6,8,2,7]=>[4,6,5,8,3,1,7,2]=>[2,2,1,2,1]=>10101101=>6 [5,3,4,1,8,7,2,6]=>[4,6,5,8,1,2,7,3]=>[2,2,3,1]=>10101001=>6 [8,3,4,1,6,7,2,5]=>[1,6,5,8,3,2,7,4]=>[2,2,1,2,1]=>10101101=>6 [8,3,5,1,6,7,2,4]=>[1,6,4,8,3,2,7,5]=>[2,2,1,2,1]=>10101101=>6 [8,5,4,1,6,7,2,3]=>[1,4,5,8,3,2,7,6]=>[4,1,2,1]=>10001101=>4 [5,3,4,1,6,7,8,2]=>[4,6,5,8,3,2,1,7]=>[2,2,1,1,2]=>10101110=>5 [2,3,4,8,1,7,5,6]=>[7,6,5,1,8,2,4,3]=>[1,1,1,2,2,1]=>11110101=>4 [2,3,7,5,1,4,8,6]=>[7,6,2,4,8,5,1,3]=>[1,1,3,1,2]=>11100110=>3 [2,3,8,6,1,4,5,7]=>[7,6,1,3,8,5,4,2]=>[1,1,3,1,1,1]=>11100111=>2 [2,3,7,6,1,4,8,5]=>[7,6,2,3,8,5,1,4]=>[1,1,3,1,2]=>11100110=>3 [2,3,6,5,1,8,4,7]=>[7,6,3,4,8,1,5,2]=>[1,1,3,2,1]=>11100101=>4 [2,3,8,5,1,7,4,6]=>[7,6,1,4,8,2,5,3]=>[1,1,3,2,1]=>11100101=>4 [2,3,8,6,1,7,4,5]=>[7,6,1,3,8,2,5,4]=>[1,1,3,2,1]=>11100101=>4 [2,3,6,5,1,7,8,4]=>[7,6,3,4,8,2,1,5]=>[1,1,3,1,2]=>11100110=>3 [2,8,4,5,1,3,6,7]=>[7,1,5,4,8,6,3,2]=>[1,2,2,1,1,1]=>11010111=>4 [2,7,4,5,1,3,8,6]=>[7,2,5,4,8,6,1,3]=>[1,2,2,1,2]=>11010110=>5 [2,8,4,6,1,3,5,7]=>[7,1,5,3,8,6,4,2]=>[1,2,2,1,1,1]=>11010111=>4 [2,7,4,8,1,3,5,6]=>[7,2,5,1,8,6,4,3]=>[1,2,2,1,1,1]=>11010111=>4 [2,7,4,6,1,3,8,5]=>[7,2,5,3,8,6,1,4]=>[1,2,2,1,2]=>11010110=>5 [2,8,6,5,1,3,4,7]=>[7,1,3,4,8,6,5,2]=>[1,4,1,1,1]=>11000111=>2 [2,7,8,5,1,3,4,6]=>[7,2,1,4,8,6,5,3]=>[1,1,3,1,1,1]=>11100111=>2 [2,7,8,6,1,3,4,5]=>[7,2,1,3,8,6,5,4]=>[1,1,3,1,1,1]=>11100111=>2 [2,7,6,5,1,3,8,4]=>[7,2,3,4,8,6,1,5]=>[1,4,1,2]=>11000110=>3 [2,6,4,5,1,8,3,7]=>[7,3,5,4,8,1,6,2]=>[1,2,2,2,1]=>11010101=>6 [2,8,4,5,1,7,3,6]=>[7,1,5,4,8,2,6,3]=>[1,2,2,2,1]=>11010101=>6 [2,8,4,6,1,7,3,5]=>[7,1,5,3,8,2,6,4]=>[1,2,2,2,1]=>11010101=>6 [2,8,6,5,1,7,3,4]=>[7,1,3,4,8,2,6,5]=>[1,4,2,1]=>11000101=>4 [2,6,4,5,1,7,8,3]=>[7,3,5,4,8,2,1,6]=>[1,2,2,1,2]=>11010110=>5 [7,3,4,5,1,2,8,6]=>[2,6,5,4,8,7,1,3]=>[2,1,2,1,2]=>10110110=>5 [7,3,4,6,1,2,8,5]=>[2,6,5,3,8,7,1,4]=>[2,1,2,1,2]=>10110110=>5 [8,3,6,5,1,2,4,7]=>[1,6,3,4,8,7,5,2]=>[2,3,1,1,1]=>10100111=>4 [7,3,8,5,1,2,4,6]=>[2,6,1,4,8,7,5,3]=>[2,3,1,1,1]=>10100111=>4 [7,3,8,6,1,2,4,5]=>[2,6,1,3,8,7,5,4]=>[2,3,1,1,1]=>10100111=>4 [7,3,6,5,1,2,8,4]=>[2,6,3,4,8,7,1,5]=>[2,3,1,2]=>10100110=>5 [7,6,4,5,1,2,8,3]=>[2,3,5,4,8,7,1,6]=>[3,2,1,2]=>10010110=>5 [6,3,4,5,1,8,2,7]=>[3,6,5,4,8,1,7,2]=>[2,1,2,2,1]=>10110101=>6 [8,3,4,5,1,7,2,6]=>[1,6,5,4,8,2,7,3]=>[2,1,2,2,1]=>10110101=>6 [8,3,4,6,1,7,2,5]=>[1,6,5,3,8,2,7,4]=>[2,1,2,2,1]=>10110101=>6 [8,3,6,5,1,7,2,4]=>[1,6,3,4,8,2,7,5]=>[2,3,2,1]=>10100101=>6 [8,6,4,5,1,7,2,3]=>[1,3,5,4,8,2,7,6]=>[3,2,2,1]=>10010101=>6 [6,3,4,5,1,7,8,2]=>[3,6,5,4,8,2,1,7]=>[2,1,2,1,2]=>10110110=>5 [2,3,4,8,6,1,5,7]=>[7,6,5,1,3,8,4,2]=>[1,1,1,3,1,1]=>11110011=>2 [2,3,4,8,7,1,5,6]=>[7,6,5,1,2,8,4,3]=>[1,1,1,3,1,1]=>11110011=>2 [2,3,4,7,6,1,8,5]=>[7,6,5,2,3,8,1,4]=>[1,1,1,3,2]=>11110010=>3 [2,3,8,5,6,1,4,7]=>[7,6,1,4,3,8,5,2]=>[1,1,2,2,1,1]=>11101011=>4 [2,3,8,5,7,1,4,6]=>[7,6,1,4,2,8,5,3]=>[1,1,2,2,1,1]=>11101011=>4 [2,3,8,7,6,1,4,5]=>[7,6,1,2,3,8,5,4]=>[1,1,4,1,1]=>11100011=>2 [2,3,7,5,6,1,8,4]=>[7,6,2,4,3,8,1,5]=>[1,1,2,2,2]=>11101010=>5 [2,8,4,5,6,1,3,7]=>[7,1,5,4,3,8,6,2]=>[1,2,1,2,1,1]=>11011011=>4 [2,8,4,5,7,1,3,6]=>[7,1,5,4,2,8,6,3]=>[1,2,1,2,1,1]=>11011011=>4 [2,8,4,7,6,1,3,5]=>[7,1,5,2,3,8,6,4]=>[1,2,3,1,1]=>11010011=>4 [2,8,7,5,6,1,3,4]=>[7,1,2,4,3,8,6,5]=>[1,3,2,1,1]=>11001011=>4 [2,7,4,5,6,1,8,3]=>[7,2,5,4,3,8,1,6]=>[1,2,1,2,2]=>11011010=>5 [8,3,4,5,7,1,2,6]=>[1,6,5,4,2,8,7,3]=>[2,1,1,2,1,1]=>10111011=>4 [8,3,4,7,6,1,2,5]=>[1,6,5,2,3,8,7,4]=>[2,1,3,1,1]=>10110011=>4 [8,3,7,5,6,1,2,4]=>[1,6,2,4,3,8,7,5]=>[2,2,2,1,1]=>10101011=>6 [7,3,4,5,6,1,8,2]=>[2,6,5,4,3,8,1,7]=>[2,1,1,2,2]=>10111010=>5 [2,3,4,5,8,7,1,6]=>[7,6,5,4,1,2,8,3]=>[1,1,1,1,3,1]=>11111001=>2 [2,3,4,8,6,7,1,5]=>[7,6,5,1,3,2,8,4]=>[1,1,1,2,2,1]=>11110101=>4 [2,3,8,5,6,7,1,4]=>[7,6,1,4,3,2,8,5]=>[1,1,2,1,2,1]=>11101101=>4 [2,8,4,5,6,7,1,3]=>[7,1,5,4,3,2,8,6]=>[1,2,1,1,2,1]=>11011101=>4 [9,1,2,3,4,5,6,7,8]=>[1,9,8,7,6,5,4,3,2]=>[2,1,1,1,1,1,1,1]=>101111111=>2 [8,1,2,3,4,5,6,9,7]=>[2,9,8,7,6,5,4,1,3]=>[2,1,1,1,1,1,2]=>101111110=>3 [9,1,2,3,4,5,8,6,7]=>[1,9,8,7,6,5,2,4,3]=>[2,1,1,1,1,2,1]=>101111101=>4 [7,1,2,3,4,5,8,9,6]=>[3,9,8,7,6,5,2,1,4]=>[2,1,1,1,1,1,2]=>101111110=>3 [9,1,2,3,4,8,5,6,7]=>[1,9,8,7,6,2,5,4,3]=>[2,1,1,1,2,1,1]=>101111011=>4 [6,1,2,3,4,9,8,5,7]=>[4,9,8,7,6,1,2,5,3]=>[2,1,1,1,3,1]=>101111001=>4 [9,1,2,3,4,7,8,5,6]=>[1,9,8,7,6,3,2,5,4]=>[2,1,1,1,1,2,1]=>101111101=>4 [6,1,2,3,4,7,8,9,5]=>[4,9,8,7,6,3,2,1,5]=>[2,1,1,1,1,1,2]=>101111110=>3 [5,1,2,3,9,4,6,7,8]=>[5,9,8,7,1,6,4,3,2]=>[2,1,1,2,1,1,1]=>101110111=>4 [9,1,2,3,6,4,5,7,8]=>[1,9,8,7,4,6,5,3,2]=>[2,1,1,2,1,1,1]=>101110111=>4 [8,1,2,3,9,4,5,6,7]=>[2,9,8,7,1,6,5,4,3]=>[2,1,1,2,1,1,1]=>101110111=>4 [5,1,2,3,9,8,4,6,7]=>[5,9,8,7,1,2,6,4,3]=>[2,1,1,3,1,1]=>101110011=>4 [9,1,2,3,6,8,4,5,7]=>[1,9,8,7,4,2,6,5,3]=>[2,1,1,1,2,1,1]=>101111011=>4 [5,1,2,3,6,9,8,4,7]=>[5,9,8,7,4,1,2,6,3]=>[2,1,1,1,3,1]=>101111001=>4 [5,1,2,3,6,7,8,9,4]=>[5,9,8,7,4,3,2,1,6]=>[2,1,1,1,1,1,2]=>101111110=>3 [9,1,2,5,3,4,6,7,8]=>[1,9,8,5,7,6,4,3,2]=>[2,1,2,1,1,1,1]=>101101111=>4 [9,1,2,8,3,4,5,6,7]=>[1,9,8,2,7,6,5,4,3]=>[2,1,2,1,1,1,1]=>101101111=>4 [4,1,2,8,9,3,5,6,7]=>[6,9,8,2,1,7,5,4,3]=>[2,1,1,2,1,1,1]=>101110111=>4 [8,1,2,5,9,3,4,6,7]=>[2,9,8,5,1,7,6,4,3]=>[2,1,1,2,1,1,1]=>101110111=>4 [4,1,2,5,9,8,3,6,7]=>[6,9,8,5,1,2,7,4,3]=>[2,1,1,3,1,1]=>101110011=>4 [4,1,2,5,6,7,8,9,3]=>[6,9,8,5,4,3,2,1,7]=>[2,1,1,1,1,1,2]=>101111110=>3 [3,1,9,2,4,5,6,7,8]=>[7,9,1,8,6,5,4,3,2]=>[2,2,1,1,1,1,1]=>101011111=>4 [3,1,5,2,7,4,9,6,8]=>[7,9,5,8,3,6,1,4,2]=>[2,2,2,2,1]=>101010101=>8 [9,1,8,2,3,4,5,6,7]=>[1,9,2,8,7,6,5,4,3]=>[2,2,1,1,1,1,1]=>101011111=>4 [9,1,8,2,7,3,4,5,6]=>[1,9,2,8,3,7,6,5,4]=>[2,2,2,1,1,1]=>101010111=>6 [3,1,9,8,2,4,5,6,7]=>[7,9,1,2,8,6,5,4,3]=>[2,3,1,1,1,1]=>101001111=>4 [9,1,4,8,2,3,5,6,7]=>[1,9,6,2,8,7,5,4,3]=>[2,1,2,1,1,1,1]=>101101111=>4 [3,1,4,8,9,2,5,6,7]=>[7,9,6,2,1,8,5,4,3]=>[2,1,1,2,1,1,1]=>101110111=>4 [7,1,4,5,6,2,8,9,3]=>[3,9,6,5,4,8,2,1,7]=>[2,1,1,2,1,2]=>101110110=>5 [9,1,8,5,6,7,2,3,4]=>[1,9,2,5,4,3,8,7,6]=>[2,2,1,2,1,1]=>101011011=>6 [8,1,4,5,6,7,2,9,3]=>[2,9,6,5,4,3,8,1,7]=>[2,1,1,1,2,2]=>101111010=>5 [3,1,4,9,6,7,8,2,5]=>[7,9,6,1,4,3,2,8,5]=>[2,1,2,1,2,1]=>101101101=>6 [3,1,9,5,6,7,8,2,4]=>[7,9,1,5,4,3,2,8,6]=>[2,2,1,1,2,1]=>101011101=>6 [9,1,4,5,6,7,8,2,3]=>[1,9,6,5,4,3,2,8,7]=>[2,1,1,1,1,2,1]=>101111101=>4 [3,1,4,5,6,7,8,9,2]=>[7,9,6,5,4,3,2,1,8]=>[2,1,1,1,1,1,2]=>101111110=>3 [2,9,1,3,4,5,6,7,8]=>[8,1,9,7,6,5,4,3,2]=>[1,2,1,1,1,1,1,1]=>110111111=>2 [2,4,1,6,3,8,5,9,7]=>[8,6,9,4,7,2,5,1,3]=>[1,2,2,2,2]=>110101010=>7 [9,3,1,2,4,5,6,7,8]=>[1,7,9,8,6,5,4,3,2]=>[3,1,1,1,1,1,1]=>100111111=>2 [9,4,1,2,3,5,6,7,8]=>[1,6,9,8,7,5,4,3,2]=>[3,1,1,1,1,1,1]=>100111111=>2 [5,9,1,2,3,4,6,7,8]=>[5,1,9,8,7,6,4,3,2]=>[1,2,1,1,1,1,1,1]=>110111111=>2 [9,6,1,2,3,4,5,7,8]=>[1,4,9,8,7,6,5,3,2]=>[3,1,1,1,1,1,1]=>100111111=>2 [9,7,1,2,3,4,5,6,8]=>[1,3,9,8,7,6,5,4,2]=>[3,1,1,1,1,1,1]=>100111111=>2 [8,9,1,2,3,4,5,6,7]=>[2,1,9,8,7,6,5,4,3]=>[1,2,1,1,1,1,1,1]=>110111111=>2 [8,7,1,2,3,4,5,9,6]=>[2,3,9,8,7,6,5,1,4]=>[3,1,1,1,1,2]=>100111110=>3 [7,6,1,2,3,4,9,5,8]=>[3,4,9,8,7,6,1,5,2]=>[3,1,1,1,2,1]=>100111101=>4 [9,7,1,2,3,4,8,5,6]=>[1,3,9,8,7,6,2,5,4]=>[3,1,1,1,2,1]=>100111101=>4 [7,6,1,2,3,4,8,9,5]=>[3,4,9,8,7,6,2,1,5]=>[3,1,1,1,1,2]=>100111110=>3 [5,6,1,2,3,9,4,7,8]=>[5,4,9,8,7,1,6,3,2]=>[1,2,1,1,2,1,1]=>110111011=>4 [9,6,1,2,3,7,4,5,8]=>[1,4,9,8,7,3,6,5,2]=>[3,1,1,2,1,1]=>100111011=>4 [5,6,1,2,3,7,9,4,8]=>[5,4,9,8,7,3,1,6,2]=>[1,2,1,1,1,2,1]=>110111101=>4 [5,4,1,2,9,3,6,7,8]=>[5,6,9,8,1,7,4,3,2]=>[3,1,2,1,1,1]=>100110111=>4 [5,9,1,2,6,3,4,7,8]=>[5,1,9,8,4,7,6,3,2]=>[1,2,1,2,1,1,1]=>110110111=>4 [5,8,1,2,9,3,4,6,7]=>[5,2,9,8,1,7,6,4,3]=>[1,2,1,2,1,1,1]=>110110111=>4 [5,4,1,2,6,9,3,7,8]=>[5,6,9,8,4,1,7,3,2]=>[3,1,1,2,1,1]=>100111011=>4 [4,3,1,9,2,5,6,7,8]=>[6,7,9,1,8,5,4,3,2]=>[3,2,1,1,1,1]=>100101111=>4 [9,4,1,5,2,3,6,7,8]=>[1,6,9,5,8,7,4,3,2]=>[3,2,1,1,1,1]=>100101111=>4 [4,3,1,5,9,2,6,7,8]=>[6,7,9,5,1,8,4,3,2]=>[3,1,2,1,1,1]=>100110111=>4 [9,8,1,7,6,2,3,4,5]=>[1,2,9,3,4,8,7,6,5]=>[3,3,1,1,1]=>100100111=>4 [2,3,9,1,4,5,6,7,8]=>[8,7,1,9,6,5,4,3,2]=>[1,1,2,1,1,1,1,1]=>111011111=>2 [2,3,6,1,4,7,8,9,5]=>[8,7,4,9,6,3,2,1,5]=>[1,1,2,1,1,1,2]=>111011110=>3 [2,9,8,1,3,4,5,6,7]=>[8,1,2,9,7,6,5,4,3]=>[1,3,1,1,1,1,1]=>110011111=>2 [9,3,4,1,2,5,6,7,8]=>[1,7,6,9,8,5,4,3,2]=>[2,2,1,1,1,1,1]=>101011111=>4 [9,3,8,1,2,4,5,6,7]=>[1,7,2,9,8,6,5,4,3]=>[2,2,1,1,1,1,1]=>101011111=>4 [9,7,5,1,2,3,4,6,8]=>[1,3,5,9,8,7,6,4,2]=>[4,1,1,1,1,1]=>100011111=>2 [9,7,8,1,2,3,4,5,6]=>[1,3,2,9,8,7,6,5,4]=>[2,2,1,1,1,1,1]=>101011111=>4 [7,8,9,1,6,2,3,4,5]=>[3,2,1,9,4,8,7,6,5]=>[1,1,2,2,1,1,1]=>111010111=>4 [2,3,4,9,1,5,6,7,8]=>[8,7,6,1,9,5,4,3,2]=>[1,1,1,2,1,1,1,1]=>111101111=>2 [2,3,4,6,1,7,8,9,5]=>[8,7,6,4,9,3,2,1,5]=>[1,1,1,2,1,1,2]=>111101110=>3 [2,3,9,8,1,4,5,6,7]=>[8,7,1,2,9,6,5,4,3]=>[1,1,3,1,1,1,1]=>111001111=>2 [9,8,6,5,1,2,3,4,7]=>[1,2,4,5,9,8,7,6,3]=>[5,1,1,1,1]=>100001111=>2 [6,3,4,5,1,7,9,2,8]=>[4,7,6,5,9,3,1,8,2]=>[2,1,2,1,2,1]=>101101101=>6 [2,3,4,5,9,1,6,7,8]=>[8,7,6,5,1,9,4,3,2]=>[1,1,1,1,2,1,1,1]=>111110111=>2 [9,7,4,5,6,1,2,3,8]=>[1,3,6,5,4,9,8,7,2]=>[3,1,2,1,1,1]=>100110111=>4 [7,3,4,5,6,1,9,2,8]=>[3,7,6,5,4,9,1,8,2]=>[2,1,1,2,2,1]=>101110101=>6 [2,3,4,5,6,9,1,7,8]=>[8,7,6,5,4,1,9,3,2]=>[1,1,1,1,1,2,1,1]=>111111011=>2 [2,3,9,5,6,7,1,4,8]=>[8,7,1,5,4,3,9,6,2]=>[1,1,2,1,2,1,1]=>111011011=>4 [2,9,4,5,6,7,1,3,8]=>[8,1,6,5,4,3,9,7,2]=>[1,2,1,1,2,1,1]=>110111011=>4 [9,3,4,5,6,7,1,2,8]=>[1,7,6,5,4,3,9,8,2]=>[2,1,1,1,2,1,1]=>101111011=>4 [2,3,4,5,6,7,9,1,8]=>[8,7,6,5,4,3,1,9,2]=>[1,1,1,1,1,1,2,1]=>111111101=>2 [2,3,4,5,6,9,8,1,7]=>[8,7,6,5,4,1,2,9,3]=>[1,1,1,1,1,3,1]=>111111001=>2 [9,3,4,5,6,7,8,1,2]=>[1,7,6,5,4,3,2,9,8]=>[2,1,1,1,1,2,1]=>101111101=>4 [2,3,4,5,6,7,8,9,1]=>[8,7,6,5,4,3,2,1,9]=>[1,1,1,1,1,1,1,2]=>111111110=>1 [3,5,2,6,1,4,8,7]=>[6,4,7,3,8,5,1,2]=>[1,2,2,1,2]=>11010110=>5 [3,5,2,6,4,1,8,7]=>[6,4,7,3,5,8,1,2]=>[1,2,3,2]=>11010010=>5 [3,5,2,7,4,8,1,6]=>[6,4,7,2,5,1,8,3]=>[1,2,2,2,1]=>11010101=>6 [3,5,2,7,4,8,6,1]=>[6,4,7,2,5,1,3,8]=>[1,2,2,3]=>11010100=>5 [4,5,7,2,3,8,6,1]=>[5,4,2,7,6,1,3,8]=>[1,1,2,1,3]=>11101100=>3 [4,5,7,2,3,8,1,6]=>[5,4,2,7,6,1,8,3]=>[1,1,2,1,2,1]=>11101101=>4 [4,5,6,2,3,1,8,7]=>[5,4,3,7,6,8,1,2]=>[1,1,2,2,2]=>11101010=>5 [4,5,6,2,1,3,8,7]=>[5,4,3,7,8,6,1,2]=>[1,1,3,1,2]=>11100110=>3 [3,5,1,6,4,2,8,7]=>[6,4,8,3,5,7,1,2]=>[1,2,3,2]=>11010010=>5 [4,5,6,1,3,2,8,7]=>[5,4,3,8,6,7,1,2]=>[1,1,2,2,2]=>11101010=>5 [4,5,6,3,1,2,8,7]=>[5,4,3,6,8,7,1,2]=>[1,1,3,1,2]=>11100110=>3 [4,5,7,3,2,8,1,6]=>[5,4,2,6,7,1,8,3]=>[1,1,3,2,1]=>11100101=>4 [4,5,7,3,2,8,6,1]=>[5,4,2,6,7,1,3,8]=>[1,1,3,3]=>11100100=>3 [4,6,7,3,8,2,5,1]=>[5,3,2,6,1,7,4,8]=>[1,1,2,2,2]=>11101010=>5 [4,6,7,3,8,2,1,5]=>[5,3,2,6,1,7,8,4]=>[1,1,2,3,1]=>11101001=>4 [4,6,7,3,8,1,2,5]=>[5,3,2,6,1,8,7,4]=>[1,1,2,2,1,1]=>11101011=>4 [4,5,7,3,1,8,2,6]=>[5,4,2,6,8,1,7,3]=>[1,1,3,2,1]=>11100101=>4 [4,5,7,1,3,8,2,6]=>[5,4,2,8,6,1,7,3]=>[1,1,2,1,2,1]=>11101101=>4 [3,5,1,7,4,8,2,6]=>[6,4,8,2,5,1,7,3]=>[1,2,2,2,1]=>11010101=>6 [2,1,5,7,4,8,3,6]=>[7,8,4,2,5,1,6,3]=>[2,1,2,2,1]=>10110101=>6 [2,1,5,7,4,8,6,3]=>[7,8,4,2,5,1,3,6]=>[2,1,2,3]=>10110100=>5 [3,5,1,7,4,8,6,2]=>[6,4,8,2,5,1,3,7]=>[1,2,2,3]=>11010100=>5 [4,5,7,1,3,8,6,2]=>[5,4,2,8,6,1,3,7]=>[1,1,2,1,3]=>11101100=>3 [4,5,7,3,1,8,6,2]=>[5,4,2,6,8,1,3,7]=>[1,1,3,3]=>11100100=>3 [4,6,7,3,8,1,5,2]=>[5,3,2,6,1,8,4,7]=>[1,1,2,2,2]=>11101010=>5 [4,6,7,3,8,5,1,2]=>[5,3,2,6,1,4,8,7]=>[1,1,2,3,1]=>11101001=>4 [4,6,7,3,8,5,2,1]=>[5,3,2,6,1,4,7,8]=>[1,1,2,4]=>11101000=>3 [5,6,7,8,3,1,4,2]=>[4,3,2,1,6,8,5,7]=>[1,1,1,3,2]=>11110010=>3 [5,6,7,8,1,3,4,2]=>[4,3,2,1,8,6,5,7]=>[1,1,1,2,1,2]=>11110110=>3 [4,6,7,1,8,3,5,2]=>[5,3,2,8,1,6,4,7]=>[1,1,2,2,2]=>11101010=>5 [3,6,1,7,8,4,5,2]=>[6,3,8,2,1,5,4,7]=>[1,2,1,2,2]=>11011010=>5 [2,1,6,7,8,4,5,3]=>[7,8,3,2,1,5,4,6]=>[2,1,1,2,2]=>10111010=>5 [2,1,6,7,8,4,3,5]=>[7,8,3,2,1,5,6,4]=>[2,1,1,3,1]=>10111001=>4 [3,6,1,7,8,4,2,5]=>[6,3,8,2,1,5,7,4]=>[1,2,1,3,1]=>11011001=>4 [4,6,7,1,8,3,2,5]=>[5,3,2,8,1,6,7,4]=>[1,1,2,3,1]=>11101001=>4 [5,6,7,8,1,3,2,4]=>[4,3,2,1,8,6,7,5]=>[1,1,1,2,2,1]=>11110101=>4 [4,5,7,2,1,8,3,6]=>[5,4,2,7,8,1,6,3]=>[1,1,3,2,1]=>11100101=>4 [4,6,7,2,8,1,3,5]=>[5,3,2,7,1,8,6,4]=>[1,1,2,2,1,1]=>11101011=>4 [4,6,7,2,8,3,1,5]=>[5,3,2,7,1,6,8,4]=>[1,1,2,3,1]=>11101001=>4 [4,6,7,2,8,3,5,1]=>[5,3,2,7,1,6,4,8]=>[1,1,2,2,2]=>11101010=>5 [3,6,2,7,8,4,5,1]=>[6,3,7,2,1,5,4,8]=>[1,2,1,2,2]=>11011010=>5 [3,6,2,7,8,4,1,5]=>[6,3,7,2,1,5,8,4]=>[1,2,1,3,1]=>11011001=>4 [3,6,2,7,8,1,4,5]=>[6,3,7,2,1,8,5,4]=>[1,2,1,2,1,1]=>11011011=>4 [3,5,2,7,1,8,4,6]=>[6,4,7,2,8,1,5,3]=>[1,2,2,2,1]=>11010101=>6 [3,4,2,1,7,8,5,6]=>[6,5,7,8,2,1,4,3]=>[1,3,1,2,1]=>11001101=>4 [3,4,1,2,7,8,6,5]=>[6,5,8,7,2,1,3,4]=>[1,2,1,1,3]=>11011100=>3 [3,5,2,7,1,8,6,4]=>[6,4,7,2,8,1,3,5]=>[1,2,2,3]=>11010100=>5 [3,6,2,7,8,1,5,4]=>[6,3,7,2,1,8,4,5]=>[1,2,1,2,2]=>11011010=>5 [3,6,2,7,8,5,1,4]=>[6,3,7,2,1,4,8,5]=>[1,2,1,3,1]=>11011001=>4 [3,6,2,7,8,5,4,1]=>[6,3,7,2,1,4,5,8]=>[1,2,1,4]=>11011000=>3 [4,6,7,2,8,5,3,1]=>[5,3,2,7,1,4,6,8]=>[1,1,2,4]=>11101000=>3 [4,6,7,2,8,5,1,3]=>[5,3,2,7,1,4,8,6]=>[1,1,2,3,1]=>11101001=>4 [4,6,7,2,8,1,5,3]=>[5,3,2,7,1,8,4,6]=>[1,1,2,2,2]=>11101010=>5 [4,5,7,2,1,8,6,3]=>[5,4,2,7,8,1,3,6]=>[1,1,3,3]=>11100100=>3 [4,5,7,1,2,8,6,3]=>[5,4,2,8,7,1,3,6]=>[1,1,2,1,3]=>11101100=>3 [3,5,1,7,2,8,6,4]=>[6,4,8,2,7,1,3,5]=>[1,2,2,3]=>11010100=>5 [2,1,5,7,3,8,6,4]=>[7,8,4,2,6,1,3,5]=>[2,1,2,3]=>10110100=>5 [2,1,6,7,8,3,5,4]=>[7,8,3,2,1,6,4,5]=>[2,1,1,2,2]=>10111010=>5 [3,6,1,7,8,2,5,4]=>[6,3,8,2,1,7,4,5]=>[1,2,1,2,2]=>11011010=>5 [4,6,7,1,8,2,5,3]=>[5,3,2,8,1,7,4,6]=>[1,1,2,2,2]=>11101010=>5 [5,6,7,8,1,2,4,3]=>[4,3,2,1,8,7,5,6]=>[1,1,1,2,1,2]=>11110110=>3 [5,6,7,8,2,1,4,3]=>[4,3,2,1,7,8,5,6]=>[1,1,1,3,2]=>11110010=>3 [5,6,7,8,2,4,1,3]=>[4,3,2,1,7,5,8,6]=>[1,1,1,2,2,1]=>11110101=>4 [5,6,7,8,2,4,3,1]=>[4,3,2,1,7,5,6,8]=>[1,1,1,2,3]=>11110100=>3 [5,6,7,8,1,4,2,3]=>[4,3,2,1,8,5,7,6]=>[1,1,1,2,2,1]=>11110101=>4 [4,6,7,1,8,5,2,3]=>[5,3,2,8,1,4,7,6]=>[1,1,2,3,1]=>11101001=>4 [3,6,1,7,8,5,2,4]=>[6,3,8,2,1,4,7,5]=>[1,2,1,3,1]=>11011001=>4 [2,1,6,7,8,5,3,4]=>[7,8,3,2,1,4,6,5]=>[2,1,1,3,1]=>10111001=>4 [3,6,1,7,8,5,4,2]=>[6,3,8,2,1,4,5,7]=>[1,2,1,4]=>11011000=>3 [4,6,7,1,8,5,3,2]=>[5,3,2,8,1,4,6,7]=>[1,1,2,4]=>11101000=>3 [5,6,7,8,1,4,3,2]=>[4,3,2,1,8,5,6,7]=>[1,1,1,2,3]=>11110100=>3 [5,6,7,8,4,1,3,2]=>[4,3,2,1,5,8,6,7]=>[1,1,1,3,2]=>11110010=>3 [6,5,8,7,3,4,1,2]=>[3,4,1,2,6,5,8,7]=>[2,3,2,1]=>10100101=>6 [3,6,7,4,5,8,1,2]=>[6,3,2,5,4,1,8,7]=>[1,1,2,1,2,1]=>11101101=>4 [2,6,7,4,5,1,8,3]=>[7,3,2,5,4,8,1,6]=>[1,1,2,2,2]=>11101010=>5 [1,6,7,4,5,2,3,8]=>[8,3,2,5,4,7,6,1]=>[1,1,2,2,1,1]=>11101011=>4 [1,5,4,7,6,2,3,8]=>[8,4,5,2,3,7,6,1]=>[1,2,3,1,1]=>11010011=>4 [2,5,4,7,6,1,8,3]=>[7,4,5,2,3,8,1,6]=>[1,2,3,2]=>11010010=>5 [3,5,4,7,6,8,1,2]=>[6,4,5,2,3,1,8,7]=>[1,2,2,2,1]=>11010101=>6 [4,5,3,7,8,6,1,2]=>[5,4,6,2,1,3,8,7]=>[1,2,1,3,1]=>11011001=>4 [5,4,3,8,7,6,1,2]=>[4,5,6,1,2,3,8,7]=>[3,4,1]=>10010001=>4 [6,4,8,3,7,5,1,2]=>[3,5,1,6,2,4,8,7]=>[2,2,3,1]=>10101001=>6 [6,3,8,4,5,7,1,2]=>[3,6,1,5,4,2,8,7]=>[2,2,1,2,1]=>10101101=>6 [5,3,4,8,6,7,1,2]=>[4,6,5,1,3,2,8,7]=>[2,1,2,2,1]=>10110101=>6 [4,3,5,6,8,7,1,2]=>[5,6,4,3,1,2,8,7]=>[2,1,1,3,1]=>10111001=>4 [3,2,5,6,1,8,7,4]=>[6,7,4,3,8,1,2,5]=>[2,1,2,3]=>10110100=>5 [4,2,5,6,8,1,7,3]=>[5,7,4,3,1,8,2,6]=>[2,1,1,2,2]=>10111010=>5 [5,2,4,8,6,1,7,3]=>[4,7,5,1,3,8,2,6]=>[2,1,3,2]=>10110010=>5 [6,2,8,4,5,1,7,3]=>[3,7,1,5,4,8,2,6]=>[2,2,2,2]=>10101010=>7 [7,8,2,4,5,1,6,3]=>[2,1,7,5,4,8,3,6]=>[1,2,1,2,2]=>11011010=>5 [7,8,1,4,5,2,3,6]=>[2,1,8,5,4,7,6,3]=>[1,2,1,2,1,1]=>11011011=>4 [6,1,8,4,5,2,3,7]=>[3,8,1,5,4,7,6,2]=>[2,2,2,1,1]=>10101011=>6 [5,1,4,8,6,2,3,7]=>[4,8,5,1,3,7,6,2]=>[2,1,3,1,1]=>10110011=>4 [4,1,3,2,8,6,5,7]=>[5,8,6,7,1,3,4,2]=>[2,2,3,1]=>10101001=>6 [5,1,3,8,2,6,4,7]=>[4,8,6,1,7,3,5,2]=>[2,1,2,2,1]=>10110101=>6 [6,1,8,3,2,5,4,7]=>[3,8,1,6,7,4,5,2]=>[2,3,2,1]=>10100101=>6 [7,8,1,3,2,5,4,6]=>[2,1,8,6,7,4,5,3]=>[1,2,2,2,1]=>11010101=>6 [7,8,2,3,1,5,6,4]=>[2,1,7,6,8,4,3,5]=>[1,2,2,1,2]=>11010110=>5 [6,2,8,3,1,5,7,4]=>[3,7,1,6,8,4,2,5]=>[2,3,1,2]=>10100110=>5 [5,2,3,8,1,6,7,4]=>[4,7,6,1,8,3,2,5]=>[2,1,2,1,2]=>10110110=>5 [6,3,8,2,1,7,5,4]=>[3,6,1,7,8,2,4,5]=>[2,3,3]=>10100100=>5 [7,8,3,2,1,6,5,4]=>[2,1,6,7,8,3,4,5]=>[1,4,3]=>11000100=>3 [7,8,4,2,6,1,5,3]=>[2,1,5,7,3,8,4,6]=>[1,3,2,2]=>11001010=>5 [5,4,2,8,7,1,6,3]=>[4,5,7,1,2,8,3,6]=>[3,3,2]=>10010010=>5 [4,5,2,7,8,1,6,3]=>[5,4,7,2,1,8,3,6]=>[1,2,1,2,2]=>11011010=>5 [2,5,3,7,1,6,8,4]=>[7,4,6,2,8,3,1,5]=>[1,2,2,1,2]=>11010110=>5 [1,5,3,7,2,6,4,8]=>[8,4,6,2,7,3,5,1]=>[1,2,2,2,1]=>11010101=>6 [1,6,7,3,2,5,4,8]=>[8,3,2,6,7,4,5,1]=>[1,1,3,2,1]=>11100101=>4 [2,6,7,3,1,5,8,4]=>[7,3,2,6,8,4,1,5]=>[1,1,3,1,2]=>11100110=>3 [3,6,7,2,1,8,5,4]=>[6,3,2,7,8,1,4,5]=>[1,1,3,3]=>11100100=>3 [7,8,5,6,2,1,4,3]=>[2,1,4,3,7,8,5,6]=>[1,2,3,2]=>11010010=>5 [6,5,8,7,1,2,3,4]=>[3,4,1,2,8,7,6,5]=>[2,3,1,1,1]=>10100111=>4 [5,4,1,8,7,2,3,6]=>[4,5,8,1,2,7,6,3]=>[3,3,1,1]=>10010011=>4 [6,4,8,1,7,2,3,5]=>[3,5,1,8,2,7,6,4]=>[2,2,2,1,1]=>10101011=>6 [7,8,3,1,2,6,4,5]=>[2,1,6,8,7,3,5,4]=>[1,3,1,2,1]=>11001101=>4 [5,3,1,8,2,7,4,6]=>[4,6,8,1,7,2,5,3]=>[3,2,2,1]=>10010101=>6 [4,3,1,2,8,7,5,6]=>[5,6,8,7,1,2,4,3]=>[3,1,3,1]=>10011001=>4 [4,2,1,3,8,5,7,6]=>[5,7,8,6,1,4,2,3]=>[3,1,2,2]=>10011010=>5 [5,2,1,8,3,4,7,6]=>[4,7,8,1,6,5,2,3]=>[3,2,1,2]=>10010110=>5 [6,2,8,1,3,4,7,5]=>[3,7,1,8,6,5,2,4]=>[2,2,1,1,2]=>10101110=>5 [7,8,2,1,3,4,6,5]=>[2,1,7,8,6,5,3,4]=>[1,3,1,1,2]=>11001110=>3 [4,3,1,2,6,5,8,7]=>[5,6,8,7,3,4,1,2]=>[3,1,2,2]=>10011010=>5 [5,3,1,6,2,4,8,7]=>[4,6,8,3,7,5,1,2]=>[3,2,1,2]=>10010110=>5 [6,3,1,5,2,4,8,7]=>[3,6,8,4,7,5,1,2]=>[3,2,1,2]=>10010110=>5 [7,3,1,5,2,8,4,6]=>[2,6,8,4,7,1,5,3]=>[3,2,2,1]=>10010101=>6 [8,4,5,1,2,7,3,6]=>[1,5,4,8,7,2,6,3]=>[2,2,1,2,1]=>10101101=>6 [7,4,5,1,2,8,3,6]=>[2,5,4,8,7,1,6,3]=>[2,2,1,2,1]=>10101101=>6 [6,4,5,1,2,3,8,7]=>[3,5,4,8,7,6,1,2]=>[2,2,1,1,2]=>10101110=>5 [5,4,6,1,2,3,8,7]=>[4,5,3,8,7,6,1,2]=>[2,2,1,1,2]=>10101110=>5 [2,1,6,5,3,4,8,7]=>[7,8,3,4,6,5,1,2]=>[2,3,1,2]=>10100110=>5 [3,6,1,5,2,4,8,7]=>[6,3,8,4,7,5,1,2]=>[1,2,2,1,2]=>11010110=>5 [4,6,5,1,2,3,8,7]=>[5,3,4,8,7,6,1,2]=>[1,3,1,1,2]=>11001110=>3 [5,6,4,1,2,3,8,7]=>[4,3,5,8,7,6,1,2]=>[1,3,1,1,2]=>11001110=>3 [6,5,4,1,2,3,8,7]=>[3,4,5,8,7,6,1,2]=>[4,1,1,2]=>10001110=>3 [7,5,4,1,2,8,3,6]=>[2,4,5,8,7,1,6,3]=>[4,1,2,1]=>10001101=>4 [8,6,4,1,7,2,3,5]=>[1,3,5,8,2,7,6,4]=>[4,2,1,1]=>10001011=>4 [7,6,4,1,8,2,3,5]=>[2,3,5,8,1,7,6,4]=>[4,2,1,1]=>10001011=>4 [6,7,4,1,8,2,3,5]=>[3,2,5,8,1,7,6,4]=>[1,3,2,1,1]=>11001011=>4 [5,7,4,1,2,8,3,6]=>[4,2,5,8,7,1,6,3]=>[1,3,1,2,1]=>11001101=>4 [4,7,5,1,2,8,3,6]=>[5,2,4,8,7,1,6,3]=>[1,3,1,2,1]=>11001101=>4 [3,7,1,5,2,8,4,6]=>[6,2,8,4,7,1,5,3]=>[1,2,2,2,1]=>11010101=>6 [2,1,7,5,3,8,4,6]=>[7,8,2,4,6,1,5,3]=>[2,3,2,1]=>10100101=>6 [2,1,8,5,3,7,4,6]=>[7,8,1,4,6,2,5,3]=>[2,3,2,1]=>10100101=>6 [3,8,1,5,2,7,4,6]=>[6,1,8,4,7,2,5,3]=>[1,2,2,2,1]=>11010101=>6 [4,8,5,1,2,7,3,6]=>[5,1,4,8,7,2,6,3]=>[1,3,1,2,1]=>11001101=>4 [5,8,4,1,2,7,3,6]=>[4,1,5,8,7,2,6,3]=>[1,3,1,2,1]=>11001101=>4 [6,8,4,1,7,2,3,5]=>[3,1,5,8,2,7,6,4]=>[1,3,2,1,1]=>11001011=>4 [8,7,4,1,6,2,3,5]=>[1,2,5,8,3,7,6,4]=>[4,2,1,1]=>10001011=>4 [5,8,6,7,1,2,3,4]=>[4,1,3,2,8,7,6,5]=>[1,2,2,1,1,1]=>11010111=>4 [4,8,6,1,7,2,3,5]=>[5,1,3,8,2,7,6,4]=>[1,3,2,1,1]=>11001011=>4 [3,8,1,6,7,2,4,5]=>[6,1,8,3,2,7,5,4]=>[1,2,1,2,1,1]=>11011011=>4 [2,1,8,6,7,3,4,5]=>[7,8,1,3,2,6,5,4]=>[2,2,2,1,1]=>10101011=>6 [2,1,7,6,8,3,4,5]=>[7,8,2,3,1,6,5,4]=>[2,2,2,1,1]=>10101011=>6 [3,7,1,6,8,2,4,5]=>[6,2,8,3,1,7,5,4]=>[1,2,1,2,1,1]=>11011011=>4 [4,7,6,1,8,2,3,5]=>[5,2,3,8,1,7,6,4]=>[1,3,2,1,1]=>11001011=>4 [5,7,6,8,1,2,3,4]=>[4,2,3,1,8,7,6,5]=>[1,2,2,1,1,1]=>11010111=>4 [5,4,7,1,2,8,3,6]=>[4,5,2,8,7,1,6,3]=>[2,2,1,2,1]=>10101101=>6 [6,4,7,1,8,2,3,5]=>[3,5,2,8,1,7,6,4]=>[2,2,2,1,1]=>10101011=>6 [7,4,6,1,8,2,3,5]=>[2,5,3,8,1,7,6,4]=>[2,2,2,1,1]=>10101011=>6 [8,4,6,1,7,2,3,5]=>[1,5,3,8,2,7,6,4]=>[2,2,2,1,1]=>10101011=>6 [8,3,1,6,7,2,4,5]=>[1,6,8,3,2,7,5,4]=>[3,1,2,1,1]=>10011011=>4 [7,3,1,6,8,2,4,5]=>[2,6,8,3,1,7,5,4]=>[3,1,2,1,1]=>10011011=>4 [6,3,1,7,8,2,4,5]=>[3,6,8,2,1,7,5,4]=>[3,1,2,1,1]=>10011011=>4 [5,3,1,7,2,8,4,6]=>[4,6,8,2,7,1,5,3]=>[3,2,2,1]=>10010101=>6 [4,3,1,2,7,8,5,6]=>[5,6,8,7,2,1,4,3]=>[3,1,1,2,1]=>10011101=>4 [2,1,4,3,8,7,5,6]=>[7,8,5,6,1,2,4,3]=>[2,2,3,1]=>10101001=>6 [3,4,1,2,8,7,5,6]=>[6,5,8,7,1,2,4,3]=>[1,2,1,3,1]=>11011001=>4 [6,3,1,8,7,2,4,5]=>[3,6,8,1,2,7,5,4]=>[3,3,1,1]=>10010011=>4 [7,3,1,8,6,2,4,5]=>[2,6,8,1,3,7,5,4]=>[3,3,1,1]=>10010011=>4 [8,4,7,1,6,2,3,5]=>[1,5,2,8,3,7,6,4]=>[2,2,2,1,1]=>10101011=>6 [7,4,8,1,6,2,3,5]=>[2,5,1,8,3,7,6,4]=>[2,2,2,1,1]=>10101011=>6 [5,4,8,1,2,7,3,6]=>[4,5,1,8,7,2,6,3]=>[2,2,1,2,1]=>10101101=>6 [4,5,8,1,2,7,3,6]=>[5,4,1,8,7,2,6,3]=>[1,1,2,1,2,1]=>11101101=>4 [3,5,1,8,2,7,4,6]=>[6,4,8,1,7,2,5,3]=>[1,2,2,2,1]=>11010101=>6 [2,1,5,8,3,7,4,6]=>[7,8,4,1,6,2,5,3]=>[2,1,2,2,1]=>10110101=>6 [2,1,6,8,7,3,4,5]=>[7,8,3,1,2,6,5,4]=>[2,1,3,1,1]=>10110011=>4 [3,6,1,8,7,2,4,5]=>[6,3,8,1,2,7,5,4]=>[1,2,3,1,1]=>11010011=>4 [4,6,8,1,7,2,3,5]=>[5,3,1,8,2,7,6,4]=>[1,1,2,2,1,1]=>11101011=>4 [5,6,8,7,1,2,3,4]=>[4,3,1,2,8,7,6,5]=>[1,1,3,1,1,1]=>11100111=>2 [7,5,8,6,1,2,3,4]=>[2,4,1,3,8,7,6,5]=>[2,3,1,1,1]=>10100111=>4 [8,5,7,6,1,2,3,4]=>[1,4,2,3,8,7,6,5]=>[2,3,1,1,1]=>10100111=>4 [5,7,8,6,1,2,3,4]=>[4,2,1,3,8,7,6,5]=>[1,1,3,1,1,1]=>11100111=>2 [4,7,8,1,6,2,3,5]=>[5,2,1,8,3,7,6,4]=>[1,1,2,2,1,1]=>11101011=>4 [3,7,1,8,6,2,4,5]=>[6,2,8,1,3,7,5,4]=>[1,2,3,1,1]=>11010011=>4 [2,1,7,8,6,3,4,5]=>[7,8,2,1,3,6,5,4]=>[2,1,3,1,1]=>10110011=>4 [2,1,8,7,6,3,4,5]=>[7,8,1,2,3,6,5,4]=>[2,4,1,1]=>10100011=>4 [3,8,1,7,6,2,4,5]=>[6,1,8,2,3,7,5,4]=>[1,2,3,1,1]=>11010011=>4 [4,8,7,1,6,2,3,5]=>[5,1,2,8,3,7,6,4]=>[1,3,2,1,1]=>11001011=>4 [5,8,7,6,1,2,3,4]=>[4,1,2,3,8,7,6,5]=>[1,4,1,1,1]=>11000111=>2 [6,8,7,5,1,2,3,4]=>[3,1,2,4,8,7,6,5]=>[1,4,1,1,1]=>11000111=>2 [6,4,7,3,8,5,1,2]=>[3,5,2,6,1,4,8,7]=>[2,2,3,1]=>10101001=>6 [6,4,7,3,5,8,1,2]=>[3,5,2,6,4,1,8,7]=>[2,2,1,2,1]=>10101101=>6 [6,4,7,2,5,1,8,3]=>[3,5,2,7,4,8,1,6]=>[2,2,2,2]=>10101010=>7 [5,4,2,7,6,1,3,8]=>[4,5,7,2,3,8,6,1]=>[3,3,1,1]=>10010011=>4 [5,4,2,7,6,1,8,3]=>[4,5,7,2,3,8,1,6]=>[3,3,2]=>10010010=>5 [5,4,3,7,6,8,1,2]=>[4,5,6,2,3,1,8,7]=>[3,2,2,1]=>10010101=>6 [5,4,3,7,8,6,1,2]=>[4,5,6,2,1,3,8,7]=>[3,1,3,1]=>10011001=>4 [6,4,8,3,5,7,1,2]=>[3,5,1,6,4,2,8,7]=>[2,2,1,2,1]=>10101101=>6 [5,4,3,8,6,7,1,2]=>[4,5,6,1,3,2,8,7]=>[3,2,2,1]=>10010101=>6 [5,4,3,6,8,7,1,2]=>[4,5,6,3,1,2,8,7]=>[3,1,3,1]=>10011001=>4 [5,4,2,6,7,1,8,3]=>[4,5,7,3,2,8,1,6]=>[3,1,2,2]=>10011010=>5 [5,4,2,6,7,1,3,8]=>[4,5,7,3,2,8,6,1]=>[3,1,2,1,1]=>10011011=>4 [5,3,2,6,1,7,4,8]=>[4,6,7,3,8,2,5,1]=>[3,2,2,1]=>10010101=>6 [5,3,2,6,1,7,8,4]=>[4,6,7,3,8,2,1,5]=>[3,2,1,2]=>10010110=>5 [5,3,2,6,1,8,7,4]=>[4,6,7,3,8,1,2,5]=>[3,2,3]=>10010100=>5 [5,4,2,6,8,1,7,3]=>[4,5,7,3,1,8,2,6]=>[3,1,2,2]=>10011010=>5 [5,4,2,8,6,1,7,3]=>[4,5,7,1,3,8,2,6]=>[3,3,2]=>10010010=>5 [6,4,8,2,5,1,7,3]=>[3,5,1,7,4,8,2,6]=>[2,2,2,2]=>10101010=>7 [7,8,4,2,5,1,6,3]=>[2,1,5,7,4,8,3,6]=>[1,3,2,2]=>11001010=>5 [7,8,4,2,5,1,3,6]=>[2,1,5,7,4,8,6,3]=>[1,3,2,1,1]=>11001011=>4 [5,4,2,8,6,1,3,7]=>[4,5,7,1,3,8,6,2]=>[3,3,1,1]=>10010011=>4 [5,3,2,6,1,8,4,7]=>[4,6,7,3,8,1,5,2]=>[3,2,2,1]=>10010101=>6 [4,3,2,1,6,8,5,7]=>[5,6,7,8,3,1,4,2]=>[4,1,2,1]=>10001101=>4 [4,3,2,1,8,6,5,7]=>[5,6,7,8,1,3,4,2]=>[4,3,1]=>10001001=>4 [5,3,2,8,1,6,4,7]=>[4,6,7,1,8,3,5,2]=>[3,2,2,1]=>10010101=>6 [6,3,8,2,1,5,4,7]=>[3,6,1,7,8,4,5,2]=>[2,3,2,1]=>10100101=>6 [7,8,3,2,1,5,4,6]=>[2,1,6,7,8,4,5,3]=>[1,4,2,1]=>11000101=>4 [7,8,3,2,1,5,6,4]=>[2,1,6,7,8,4,3,5]=>[1,4,1,2]=>11000110=>3 [6,3,8,2,1,5,7,4]=>[3,6,1,7,8,4,2,5]=>[2,3,1,2]=>10100110=>5 [5,3,2,8,1,6,7,4]=>[4,6,7,1,8,3,2,5]=>[3,2,1,2]=>10010110=>5 [5,4,2,7,8,1,6,3]=>[4,5,7,2,1,8,3,6]=>[3,1,2,2]=>10011010=>5 [5,3,2,7,1,8,6,4]=>[4,6,7,2,8,1,3,5]=>[3,2,3]=>10010100=>5 [5,3,2,7,1,6,8,4]=>[4,6,7,2,8,3,1,5]=>[3,2,1,2]=>10010110=>5 [5,3,2,7,1,6,4,8]=>[4,6,7,2,8,3,5,1]=>[3,2,2,1]=>10010101=>6 [6,3,7,2,1,5,4,8]=>[3,6,2,7,8,4,5,1]=>[2,3,2,1]=>10100101=>6 [6,3,7,2,1,5,8,4]=>[3,6,2,7,8,4,1,5]=>[2,3,1,2]=>10100110=>5 [6,3,7,2,1,8,5,4]=>[3,6,2,7,8,1,4,5]=>[2,3,3]=>10100100=>5 [6,4,7,2,8,1,5,3]=>[3,5,2,7,1,8,4,6]=>[2,2,2,2]=>10101010=>7 [6,5,7,8,2,1,4,3]=>[3,4,2,1,7,8,5,6]=>[2,1,3,2]=>10110010=>5 [6,5,8,7,2,1,3,4]=>[3,4,1,2,7,8,6,5]=>[2,4,1,1]=>10100011=>4 [6,3,7,2,1,8,4,5]=>[3,6,2,7,8,1,5,4]=>[2,3,2,1]=>10100101=>6 [6,3,7,2,1,4,8,5]=>[3,6,2,7,8,5,1,4]=>[2,3,1,2]=>10100110=>5 [6,3,7,2,1,4,5,8]=>[3,6,2,7,8,5,4,1]=>[2,3,1,1,1]=>10100111=>4 [5,3,2,7,1,4,8,6]=>[4,6,7,2,8,5,1,3]=>[3,2,1,2]=>10010110=>5 [5,4,2,8,7,1,3,6]=>[4,5,7,1,2,8,6,3]=>[3,3,1,1]=>10010011=>4 [7,8,4,2,6,1,3,5]=>[2,1,5,7,3,8,6,4]=>[1,3,2,1,1]=>11001011=>4 [7,8,3,2,1,6,4,5]=>[2,1,6,7,8,3,5,4]=>[1,4,2,1]=>11000101=>4 [6,3,8,2,1,7,4,5]=>[3,6,1,7,8,2,5,4]=>[2,3,2,1]=>10100101=>6 [5,3,2,8,1,7,4,6]=>[4,6,7,1,8,2,5,3]=>[3,2,2,1]=>10010101=>6 [4,3,2,1,8,7,5,6]=>[5,6,7,8,1,2,4,3]=>[4,3,1]=>10001001=>4 [4,3,2,1,7,5,8,6]=>[5,6,7,8,2,4,1,3]=>[4,2,2]=>10001010=>5 [4,3,2,1,7,5,6,8]=>[5,6,7,8,2,4,3,1]=>[4,2,1,1]=>10001011=>4 [4,3,2,1,8,5,7,6]=>[5,6,7,8,1,4,2,3]=>[4,2,2]=>10001010=>5 [5,3,2,8,1,4,7,6]=>[4,6,7,1,8,5,2,3]=>[3,2,1,2]=>10010110=>5 [6,3,8,2,1,4,7,5]=>[3,6,1,7,8,5,2,4]=>[2,3,1,2]=>10100110=>5 [7,8,3,2,1,4,6,5]=>[2,1,6,7,8,5,3,4]=>[1,4,1,2]=>11000110=>3 [6,3,8,2,1,4,5,7]=>[3,6,1,7,8,5,4,2]=>[2,3,1,1,1]=>10100111=>4 [4,3,2,1,8,5,6,7]=>[5,6,7,8,1,4,3,2]=>[4,2,1,1]=>10001011=>4 [4,3,2,1,5,8,6,7]=>[5,6,7,8,4,1,3,2]=>[4,1,2,1]=>10001101=>4 [7,8,5,6,1,2,4,3]=>[2,1,4,3,8,7,5,6]=>[1,2,2,1,2]=>11010110=>5 [7,8,4,1,6,2,5,3]=>[2,1,5,8,3,7,4,6]=>[1,3,2,2]=>11001010=>5 [7,8,1,4,6,2,5,3]=>[2,1,8,5,3,7,4,6]=>[1,2,1,2,2]=>11011010=>5 [6,1,8,4,7,2,5,3]=>[3,8,1,5,2,7,4,6]=>[2,2,2,2]=>10101010=>7 [1,6,8,4,7,2,5,3]=>[8,3,1,5,2,7,4,6]=>[1,1,2,2,2]=>11101010=>5 [1,6,8,3,2,7,5,4]=>[8,3,1,6,7,2,4,5]=>[1,1,3,3]=>11100100=>3 [6,1,8,3,2,7,5,4]=>[3,8,1,6,7,2,4,5]=>[2,3,3]=>10100100=>5 [7,8,1,3,2,6,5,4]=>[2,1,8,6,7,3,4,5]=>[1,2,2,3]=>11010100=>5 [7,8,3,1,2,6,5,4]=>[2,1,6,8,7,3,4,5]=>[1,3,1,3]=>11001100=>3 [7,8,3,4,6,5,1,2]=>[2,1,6,5,3,4,8,7]=>[1,2,1,3,1]=>11011001=>4 [7,8,2,4,6,1,5,3]=>[2,1,7,5,3,8,4,6]=>[1,2,1,2,2]=>11011010=>5 [7,8,2,3,1,6,5,4]=>[2,1,7,6,8,3,4,5]=>[1,2,2,3]=>11010100=>5 [7,8,2,1,3,6,5,4]=>[2,1,7,8,6,3,4,5]=>[1,3,1,3]=>11001100=>3 [7,8,1,2,3,6,5,4]=>[2,1,8,7,6,3,4,5]=>[1,2,1,1,3]=>11011100=>3 [6,1,8,2,3,7,5,4]=>[3,8,1,7,6,2,4,5]=>[2,2,1,3]=>10101100=>5 [1,6,8,2,3,7,5,4]=>[8,3,1,7,6,2,4,5]=>[1,1,2,1,3]=>11101100=>3 [1,5,2,8,3,7,6,4]=>[8,4,7,1,6,2,3,5]=>[1,2,2,3]=>11010100=>5 [5,1,2,8,3,7,6,4]=>[4,8,7,1,6,2,3,5]=>[2,1,2,3]=>10110100=>5 [5,2,1,8,3,7,6,4]=>[4,7,8,1,6,2,3,5]=>[3,2,3]=>10010100=>5 [6,2,8,1,3,7,5,4]=>[3,7,1,8,6,2,4,5]=>[2,2,1,3]=>10101100=>5 [6,2,8,3,1,7,5,4]=>[3,7,1,6,8,2,4,5]=>[2,3,3]=>10100100=>5 [6,2,8,4,7,1,5,3]=>[3,7,1,5,2,8,4,6]=>[2,2,2,2]=>10101010=>7 [6,3,8,4,7,5,1,2]=>[3,6,1,5,2,4,8,7]=>[2,2,3,1]=>10101001=>6 [3,6,8,4,7,5,1,2]=>[6,3,1,5,2,4,8,7]=>[1,1,2,3,1]=>11101001=>4 [2,6,8,4,7,1,5,3]=>[7,3,1,5,2,8,4,6]=>[1,1,2,2,2]=>11101010=>5 [2,6,8,3,1,7,5,4]=>[7,3,1,6,8,2,4,5]=>[1,1,3,3]=>11100100=>3 [2,6,8,1,3,7,5,4]=>[7,3,1,8,6,2,4,5]=>[1,1,2,1,3]=>11101100=>3 [2,5,1,8,3,7,6,4]=>[7,4,8,1,6,2,3,5]=>[1,2,2,3]=>11010100=>5 [1,2,5,8,3,7,6,4]=>[8,7,4,1,6,2,3,5]=>[1,1,1,2,3]=>11110100=>3 [2,4,1,3,8,7,6,5]=>[7,5,8,6,1,2,3,4]=>[1,2,1,4]=>11011000=>3 [2,5,3,8,1,7,6,4]=>[7,4,6,1,8,2,3,5]=>[1,2,2,3]=>11010100=>5 [2,5,4,8,7,1,6,3]=>[7,4,5,1,2,8,3,6]=>[1,2,3,2]=>11010010=>5 [3,5,4,8,7,6,1,2]=>[6,4,5,1,2,3,8,7]=>[1,2,4,1]=>11010001=>4 [5,3,4,8,7,6,1,2]=>[4,6,5,1,2,3,8,7]=>[2,1,4,1]=>10110001=>4 [5,2,4,8,7,1,6,3]=>[4,7,5,1,2,8,3,6]=>[2,1,3,2]=>10110010=>5 [5,2,3,8,1,7,6,4]=>[4,7,6,1,8,2,3,5]=>[2,1,2,3]=>10110100=>5 [4,2,1,3,8,7,6,5]=>[5,7,8,6,1,2,3,4]=>[3,1,4]=>10011000=>3 [4,1,2,3,8,7,6,5]=>[5,8,7,6,1,2,3,4]=>[2,1,1,4]=>10111000=>3 [1,4,2,3,8,7,6,5]=>[8,5,7,6,1,2,3,4]=>[1,2,1,4]=>11011000=>3 [4,1,3,2,8,7,6,5]=>[5,8,6,7,1,2,3,4]=>[2,2,4]=>10101000=>5 [4,3,1,2,8,7,6,5]=>[5,6,8,7,1,2,3,4]=>[3,1,4]=>10011000=>3 [6,3,8,1,2,7,5,4]=>[3,6,1,8,7,2,4,5]=>[2,2,1,3]=>10101100=>5 [5,3,1,8,2,7,6,4]=>[4,6,8,1,7,2,3,5]=>[3,2,3]=>10010100=>5 [5,1,3,8,2,7,6,4]=>[4,8,6,1,7,2,3,5]=>[2,1,2,3]=>10110100=>5 [1,5,3,8,2,7,6,4]=>[8,4,6,1,7,2,3,5]=>[1,2,2,3]=>11010100=>5 [1,5,4,8,7,2,6,3]=>[8,4,5,1,2,7,3,6]=>[1,2,3,2]=>11010010=>5 [5,1,4,8,7,2,6,3]=>[4,8,5,1,2,7,3,6]=>[2,1,3,2]=>10110010=>5 [5,4,1,8,7,2,6,3]=>[4,5,8,1,2,7,3,6]=>[3,3,2]=>10010010=>5 [6,4,8,1,7,2,5,3]=>[3,5,1,8,2,7,4,6]=>[2,2,2,2]=>10101010=>7 [6,5,8,7,1,2,4,3]=>[3,4,1,2,8,7,5,6]=>[2,3,1,2]=>10100110=>5 [5,6,8,7,3,4,1,2]=>[4,3,1,2,6,5,8,7]=>[1,1,3,2,1]=>11100101=>4 [5,6,8,7,2,1,4,3]=>[4,3,1,2,7,8,5,6]=>[1,1,4,2]=>11100010=>3 [4,5,1,8,7,2,6,3]=>[5,4,8,1,2,7,3,6]=>[1,2,3,2]=>11010010=>5 [4,1,5,8,7,2,6,3]=>[5,8,4,1,2,7,3,6]=>[2,1,3,2]=>10110010=>5 [1,4,5,8,7,2,6,3]=>[8,5,4,1,2,7,3,6]=>[1,1,1,3,2]=>11110010=>3 [1,3,5,8,2,7,6,4]=>[8,6,4,1,7,2,3,5]=>[1,1,1,2,3]=>11110100=>3 [3,1,5,8,2,7,6,4]=>[6,8,4,1,7,2,3,5]=>[2,1,2,3]=>10110100=>5 [3,6,8,1,2,7,5,4]=>[6,3,1,8,7,2,4,5]=>[1,1,2,1,3]=>11101100=>3 [3,6,8,2,1,7,5,4]=>[6,3,1,7,8,2,4,5]=>[1,1,3,3]=>11100100=>3 [4,6,8,2,7,1,5,3]=>[5,3,1,7,2,8,4,6]=>[1,1,2,2,2]=>11101010=>5 [4,6,8,3,7,5,1,2]=>[5,3,1,6,2,4,8,7]=>[1,1,2,3,1]=>11101001=>4 [4,5,3,8,7,6,1,2]=>[5,4,6,1,2,3,8,7]=>[1,2,4,1]=>11010001=>4 [4,5,2,8,7,1,6,3]=>[5,4,7,1,2,8,3,6]=>[1,2,3,2]=>11010010=>5 [3,5,2,8,1,7,6,4]=>[6,4,7,1,8,2,3,5]=>[1,2,2,3]=>11010100=>5 [3,1,4,2,8,7,6,5]=>[6,8,5,7,1,2,3,4]=>[2,2,4]=>10101000=>5 [3,1,2,4,8,7,6,5]=>[6,8,7,5,1,2,3,4]=>[2,1,1,4]=>10111000=>3 [3,2,5,8,1,7,6,4]=>[6,7,4,1,8,2,3,5]=>[2,1,2,3]=>10110100=>5 [4,2,5,8,7,1,6,3]=>[5,7,4,1,2,8,3,6]=>[2,1,3,2]=>10110010=>5 [4,3,5,8,7,6,1,2]=>[5,6,4,1,2,3,8,7]=>[2,1,4,1]=>10110001=>4 [3,4,5,8,7,6,1,2]=>[6,5,4,1,2,3,8,7]=>[1,1,1,4,1]=>11110001=>2 [2,4,5,8,7,1,6,3]=>[7,5,4,1,2,8,3,6]=>[1,1,1,3,2]=>11110010=>3 [2,3,5,8,1,7,6,4]=>[7,6,4,1,8,2,3,5]=>[1,1,1,2,3]=>11110100=>3 [4,1,3,2,6,5,8,7]=>[5,8,6,7,3,4,1,2]=>[2,2,2,2]=>10101010=>7 [5,1,3,2,6,4,8,7]=>[4,8,6,7,3,5,1,2]=>[2,2,2,2]=>10101010=>7 [6,1,3,2,5,4,8,7]=>[3,8,6,7,4,5,1,2]=>[2,2,2,2]=>10101010=>7 [7,1,3,2,5,4,8,6]=>[2,8,6,7,4,5,1,3]=>[2,2,2,2]=>10101010=>7 [8,1,3,2,5,4,7,6]=>[1,8,6,7,4,5,2,3]=>[2,2,2,2]=>10101010=>7 [8,1,4,2,5,3,7,6]=>[1,8,5,7,4,6,2,3]=>[2,2,2,2]=>10101010=>7 [7,1,4,2,5,3,8,6]=>[2,8,5,7,4,6,1,3]=>[2,2,2,2]=>10101010=>7 [6,1,4,2,5,3,8,7]=>[3,8,5,7,4,6,1,2]=>[2,2,2,2]=>10101010=>7 [5,1,4,2,6,3,8,7]=>[4,8,5,7,3,6,1,2]=>[2,2,2,2]=>10101010=>7 [2,1,6,3,5,4,8,7]=>[7,8,3,6,4,5,1,2]=>[2,2,2,2]=>10101010=>7 [3,1,6,2,5,4,8,7]=>[6,8,3,7,4,5,1,2]=>[2,2,2,2]=>10101010=>7 [4,1,6,2,5,3,8,7]=>[5,8,3,7,4,6,1,2]=>[2,2,2,2]=>10101010=>7 [6,2,5,1,4,3,8,7]=>[3,7,4,8,5,6,1,2]=>[2,2,2,2]=>10101010=>7 [5,2,6,1,4,3,8,7]=>[4,7,3,8,5,6,1,2]=>[2,2,2,2]=>10101010=>7 [5,2,7,1,4,3,8,6]=>[4,7,2,8,5,6,1,3]=>[2,2,2,2]=>10101010=>7 [5,2,8,1,4,3,7,6]=>[4,7,1,8,5,6,2,3]=>[2,2,2,2]=>10101010=>7 [6,2,8,1,4,3,7,5]=>[3,7,1,8,5,6,2,4]=>[2,2,2,2]=>10101010=>7 [6,2,7,1,4,3,8,5]=>[3,7,2,8,5,6,1,4]=>[2,2,2,2]=>10101010=>7 [7,2,6,1,4,3,8,5]=>[2,7,3,8,5,6,1,4]=>[2,2,2,2]=>10101010=>7 [7,2,5,1,4,3,8,6]=>[2,7,4,8,5,6,1,3]=>[2,2,2,2]=>10101010=>7 [4,1,7,2,5,3,8,6]=>[5,8,2,7,4,6,1,3]=>[2,2,2,2]=>10101010=>7 [3,1,7,2,5,4,8,6]=>[6,8,2,7,4,5,1,3]=>[2,2,2,2]=>10101010=>7 [2,1,7,3,5,4,8,6]=>[7,8,2,6,4,5,1,3]=>[2,2,2,2]=>10101010=>7 [2,1,8,3,5,4,7,6]=>[7,8,1,6,4,5,2,3]=>[2,2,2,2]=>10101010=>7 [3,1,8,2,5,4,7,6]=>[6,8,1,7,4,5,2,3]=>[2,2,2,2]=>10101010=>7 [4,1,8,2,5,3,7,6]=>[5,8,1,7,4,6,2,3]=>[2,2,2,2]=>10101010=>7 [8,2,5,1,4,3,7,6]=>[1,7,4,8,5,6,2,3]=>[2,2,2,2]=>10101010=>7 [8,2,6,1,4,3,7,5]=>[1,7,3,8,5,6,2,4]=>[2,2,2,2]=>10101010=>7 [7,1,4,3,8,2,6,5]=>[2,8,5,6,1,7,3,4]=>[2,2,2,2]=>10101010=>7 [8,1,4,3,7,2,6,5]=>[1,8,5,6,2,7,3,4]=>[2,2,2,2]=>10101010=>7 [8,1,5,3,7,2,6,4]=>[1,8,4,6,2,7,3,5]=>[2,2,2,2]=>10101010=>7 [7,1,5,3,8,2,6,4]=>[2,8,4,6,1,7,3,5]=>[2,2,2,2]=>10101010=>7 [8,2,6,1,5,3,7,4]=>[1,7,3,8,4,6,2,5]=>[2,2,2,2]=>10101010=>7 [5,1,8,2,6,3,7,4]=>[4,8,1,7,3,6,2,5]=>[2,2,2,2]=>10101010=>7 [4,1,8,2,6,3,7,5]=>[5,8,1,7,3,6,2,4]=>[2,2,2,2]=>10101010=>7 [3,1,8,2,6,4,7,5]=>[6,8,1,7,3,5,2,4]=>[2,2,2,2]=>10101010=>7 [2,1,8,3,6,4,7,5]=>[7,8,1,6,3,5,2,4]=>[2,2,2,2]=>10101010=>7 [2,1,7,3,6,4,8,5]=>[7,8,2,6,3,5,1,4]=>[2,2,2,2]=>10101010=>7 [4,1,7,2,6,3,8,5]=>[5,8,2,7,3,6,1,4]=>[2,2,2,2]=>10101010=>7 [5,1,7,2,6,3,8,4]=>[4,8,2,7,3,6,1,5]=>[2,2,2,2]=>10101010=>7 [7,2,6,1,5,3,8,4]=>[2,7,3,8,4,6,1,5]=>[2,2,2,2]=>10101010=>7 [6,2,7,1,5,3,8,4]=>[3,7,2,8,4,6,1,5]=>[2,2,2,2]=>10101010=>7 [6,2,8,1,5,3,7,4]=>[3,7,1,8,4,6,2,5]=>[2,2,2,2]=>10101010=>7 [8,1,5,2,6,3,7,4]=>[1,8,4,7,3,6,2,5]=>[2,2,2,2]=>10101010=>7 [6,1,5,2,7,3,8,4]=>[3,8,4,7,2,6,1,5]=>[2,2,2,2]=>10101010=>7 [6,1,4,2,7,3,8,5]=>[3,8,5,7,2,6,1,4]=>[2,2,2,2]=>10101010=>7 [8,1,4,2,6,3,7,5]=>[1,8,5,7,3,6,2,4]=>[2,2,2,2]=>10101010=>7 [8,1,3,2,6,4,7,5]=>[1,8,6,7,3,5,2,4]=>[2,2,2,2]=>10101010=>7 [7,1,3,2,6,4,8,5]=>[2,8,6,7,3,5,1,4]=>[2,2,2,2]=>10101010=>7 [6,1,3,2,7,4,8,5]=>[3,8,6,7,2,5,1,4]=>[2,2,2,2]=>10101010=>7 [5,1,3,2,7,4,8,6]=>[4,8,6,7,2,5,1,3]=>[2,2,2,2]=>10101010=>7 [4,1,3,2,7,5,8,6]=>[5,8,6,7,2,4,1,3]=>[2,2,2,2]=>10101010=>7 [2,1,4,3,8,5,7,6]=>[7,8,5,6,1,4,2,3]=>[2,2,2,2]=>10101010=>7 [3,1,4,2,8,5,7,6]=>[6,8,5,7,1,4,2,3]=>[2,2,2,2]=>10101010=>7 [4,1,3,2,8,5,7,6]=>[5,8,6,7,1,4,2,3]=>[2,2,2,2]=>10101010=>7 [5,1,3,2,8,4,7,6]=>[4,8,6,7,1,5,2,3]=>[2,2,2,2]=>10101010=>7 [6,1,3,2,8,4,7,5]=>[3,8,6,7,1,5,2,4]=>[2,2,2,2]=>10101010=>7 [8,4,7,1,3,2,6,5]=>[1,5,2,8,6,7,3,4]=>[2,2,2,2]=>10101010=>7 [7,4,8,1,3,2,6,5]=>[2,5,1,8,6,7,3,4]=>[2,2,2,2]=>10101010=>7 [7,3,8,1,4,2,6,5]=>[2,6,1,8,5,7,3,4]=>[2,2,2,2]=>10101010=>7 [8,3,7,1,4,2,6,5]=>[1,6,2,8,5,7,3,4]=>[2,2,2,2]=>10101010=>7 [6,1,4,2,8,3,7,5]=>[3,8,5,7,1,6,2,4]=>[2,2,2,2]=>10101010=>7 [5,1,4,2,8,3,7,6]=>[4,8,5,7,1,6,2,3]=>[2,2,2,2]=>10101010=>7 [4,1,5,2,8,3,7,6]=>[5,8,4,7,1,6,2,3]=>[2,2,2,2]=>10101010=>7 [3,1,5,2,8,4,7,6]=>[6,8,4,7,1,5,2,3]=>[2,2,2,2]=>10101010=>7 [2,1,5,3,8,4,7,6]=>[7,8,4,6,1,5,2,3]=>[2,2,2,2]=>10101010=>7 [2,1,6,3,8,4,7,5]=>[7,8,3,6,1,5,2,4]=>[2,2,2,2]=>10101010=>7 [3,1,6,2,8,4,7,5]=>[6,8,3,7,1,5,2,4]=>[2,2,2,2]=>10101010=>7 [4,1,6,2,8,3,7,5]=>[5,8,3,7,1,6,2,4]=>[2,2,2,2]=>10101010=>7 [5,1,6,2,8,3,7,4]=>[4,8,3,7,1,6,2,5]=>[2,2,2,2]=>10101010=>7 [6,1,5,2,8,3,7,4]=>[3,8,4,7,1,6,2,5]=>[2,2,2,2]=>10101010=>7 [8,3,7,1,5,2,6,4]=>[1,6,2,8,4,7,3,5]=>[2,2,2,2]=>10101010=>7 [7,3,8,1,5,2,6,4]=>[2,6,1,8,4,7,3,5]=>[2,2,2,2]=>10101010=>7 [6,2,7,3,8,1,5,4]=>[3,7,2,6,1,8,4,5]=>[2,2,2,2]=>10101010=>7 [6,2,8,3,7,1,5,4]=>[3,7,1,6,2,8,4,5]=>[2,2,2,2]=>10101010=>7 [8,3,7,2,6,1,5,4]=>[1,6,2,7,3,8,4,5]=>[2,2,2,2]=>10101010=>7 [5,1,8,3,7,2,6,4]=>[4,8,1,6,2,7,3,5]=>[2,2,2,2]=>10101010=>7 [4,1,8,3,7,2,6,5]=>[5,8,1,6,2,7,3,4]=>[2,2,2,2]=>10101010=>7 [3,1,8,4,7,2,6,5]=>[6,8,1,5,2,7,3,4]=>[2,2,2,2]=>10101010=>7 [2,1,8,4,7,3,6,5]=>[7,8,1,5,2,6,3,4]=>[2,2,2,2]=>10101010=>7 [2,1,7,4,8,3,6,5]=>[7,8,2,5,1,6,3,4]=>[2,2,2,2]=>10101010=>7 [3,1,7,4,8,2,6,5]=>[6,8,2,5,1,7,3,4]=>[2,2,2,2]=>10101010=>7 [4,1,7,3,8,2,6,5]=>[5,8,2,6,1,7,3,4]=>[2,2,2,2]=>10101010=>7 [5,1,7,3,8,2,6,4]=>[4,8,2,6,1,7,3,5]=>[2,2,2,2]=>10101010=>7 [7,3,8,2,6,1,5,4]=>[2,6,1,7,3,8,4,5]=>[2,2,2,2]=>10101010=>7 [8,2,6,3,7,1,5,4]=>[1,7,3,6,2,8,4,5]=>[2,2,2,2]=>10101010=>7 [7,2,6,3,8,1,5,4]=>[2,7,3,6,1,8,4,5]=>[2,2,2,2]=>10101010=>7 [3,4,2,6,8,1,5,7]=>[6,5,7,3,1,8,4,2]=>[1,2,1,2,1,1]=>11011011=>4 [5,3,6,2,8,1,4,7]=>[4,6,3,7,1,8,5,2]=>[2,2,2,1,1]=>10101011=>6 [5,3,6,2,4,8,1,7]=>[4,6,3,7,5,1,8,2]=>[2,2,1,2,1]=>10101101=>6 [5,7,3,8,2,4,1,6]=>[4,2,6,1,7,5,8,3]=>[1,2,2,2,1]=>11010101=>6 [5,7,3,8,2,4,6,1]=>[4,2,6,1,7,5,3,8]=>[1,2,2,1,2]=>11010110=>5 [7,4,2,5,8,3,6,1]=>[2,5,7,4,1,6,3,8]=>[3,1,2,2]=>10011010=>5 [7,4,2,5,8,3,1,6]=>[2,5,7,4,1,6,8,3]=>[3,1,3,1]=>10011001=>4 [4,5,2,6,3,8,1,7]=>[5,4,7,3,6,1,8,2]=>[1,2,2,2,1]=>11010101=>6 [4,5,2,1,6,8,3,7]=>[5,4,7,8,3,1,6,2]=>[1,3,1,2,1]=>11001101=>4 [5,3,1,6,8,2,4,7]=>[4,6,8,3,1,7,5,2]=>[3,1,2,1,1]=>10011011=>4 [5,6,2,8,1,3,4,7]=>[4,3,7,1,8,6,5,2]=>[1,2,2,1,1,1]=>11010111=>4 [3,5,6,1,4,8,2,7]=>[6,4,3,8,5,1,7,2]=>[1,1,2,1,2,1]=>11101101=>4 [4,1,5,6,3,8,2,7]=>[5,8,4,3,6,1,7,2]=>[2,1,2,2,1]=>10110101=>6 [4,5,1,6,3,8,2,7]=>[5,4,8,3,6,1,7,2]=>[1,2,2,2,1]=>11010101=>6 [4,5,6,3,2,8,1,7]=>[5,4,3,6,7,1,8,2]=>[1,1,3,2,1]=>11100101=>4 [7,4,5,3,8,2,1,6]=>[2,5,4,6,1,7,8,3]=>[2,2,3,1]=>10101001=>6 [7,4,5,3,8,2,6,1]=>[2,5,4,6,1,7,3,8]=>[2,2,2,2]=>10101010=>7 [6,7,4,8,3,2,5,1]=>[3,2,5,1,6,7,4,8]=>[1,2,3,2]=>11010010=>5 [6,7,4,8,3,2,1,5]=>[3,2,5,1,6,7,8,4]=>[1,2,4,1]=>11010001=>4 [6,7,4,1,8,3,2,5]=>[3,2,5,8,1,6,7,4]=>[1,3,3,1]=>11001001=>4 [7,4,5,3,1,8,2,6]=>[2,5,4,6,8,1,7,3]=>[2,3,2,1]=>10100101=>6 [4,7,1,5,8,3,2,6]=>[5,2,8,4,1,6,7,3]=>[1,2,1,3,1]=>11011001=>4 [5,3,7,8,1,4,2,6]=>[4,6,2,1,8,5,7,3]=>[2,1,2,2,1]=>10110101=>6 [7,5,8,2,4,6,1,3]=>[2,4,1,7,5,3,8,6]=>[2,2,1,2,1]=>10101101=>6 [7,3,5,8,1,4,6,2]=>[2,6,4,1,8,5,3,7]=>[2,1,2,1,2]=>10110110=>5 [4,5,1,7,8,3,6,2]=>[5,4,8,2,1,6,3,7]=>[1,2,1,2,2]=>11011010=>5 [7,4,1,5,8,3,6,2]=>[2,5,8,4,1,6,3,7]=>[3,1,2,2]=>10011010=>5 [6,7,4,3,8,1,5,2]=>[3,2,5,6,1,8,4,7]=>[1,3,2,2]=>11001010=>5 [6,7,4,8,3,1,5,2]=>[3,2,5,1,6,8,4,7]=>[1,2,3,2]=>11010010=>5 [6,7,4,8,3,5,2,1]=>[3,2,5,1,6,4,7,8]=>[1,2,2,3]=>11010100=>5 [5,6,7,3,8,4,2,1]=>[4,3,2,6,1,5,7,8]=>[1,1,2,4]=>11101000=>3 [5,6,7,3,1,8,4,2]=>[4,3,2,6,8,1,5,7]=>[1,1,3,3]=>11100100=>3 [5,6,1,7,3,8,4,2]=>[4,3,8,2,6,1,5,7]=>[1,2,2,3]=>11010100=>5 [5,1,6,7,3,8,4,2]=>[4,8,3,2,6,1,5,7]=>[2,1,2,3]=>10110100=>5 [6,4,7,1,8,3,5,2]=>[3,5,2,8,1,6,4,7]=>[2,2,2,2]=>10101010=>7 [6,7,8,3,1,4,5,2]=>[3,2,1,6,8,5,4,7]=>[1,1,3,1,2]=>11100110=>3 [6,7,2,8,4,5,1,3]=>[3,2,7,1,5,4,8,6]=>[1,2,2,2,1]=>11010101=>6 [6,7,2,8,4,1,3,5]=>[3,2,7,1,5,8,6,4]=>[1,2,3,1,1]=>11010011=>4 [6,1,7,4,8,3,2,5]=>[3,8,2,5,1,6,7,4]=>[2,2,3,1]=>10101001=>6 [5,1,6,7,3,2,8,4]=>[4,8,3,2,6,7,1,5]=>[2,1,3,2]=>10110010=>5 [5,6,1,7,3,2,8,4]=>[4,3,8,2,6,7,1,5]=>[1,2,3,2]=>11010010=>5 [5,6,7,3,2,1,8,4]=>[4,3,2,6,7,8,1,5]=>[1,1,4,2]=>11100010=>3 [5,6,7,3,2,8,4,1]=>[4,3,2,6,7,1,5,8]=>[1,1,3,3]=>11100100=>3 [5,6,2,7,3,8,4,1]=>[4,3,7,2,6,1,5,8]=>[1,2,2,3]=>11010100=>5 [5,6,2,7,3,1,8,4]=>[4,3,7,2,6,8,1,5]=>[1,2,3,2]=>11010010=>5 [5,6,2,1,7,3,8,4]=>[4,3,7,8,2,6,1,5]=>[1,3,2,2]=>11001010=>5 [6,1,7,4,2,8,3,5]=>[3,8,2,5,7,1,6,4]=>[2,3,2,1]=>10100101=>6 [6,7,2,1,8,3,4,5]=>[3,2,7,8,1,6,5,4]=>[1,3,2,1,1]=>11001011=>4 [7,5,8,2,1,3,4,6]=>[2,4,1,7,8,6,5,3]=>[2,3,1,1,1]=>10100111=>4 [5,7,3,1,8,2,4,6]=>[4,2,6,8,1,7,5,3]=>[1,3,2,1,1]=>11001011=>4 [4,7,1,5,2,8,3,6]=>[5,2,8,4,7,1,6,3]=>[1,2,2,2,1]=>11010101=>6 [7,4,2,5,1,8,3,6]=>[2,5,7,4,8,1,6,3]=>[3,2,2,1]=>10010101=>6 [6,7,4,2,1,8,3,5]=>[3,2,5,7,8,1,6,4]=>[1,4,2,1]=>11000101=>4 [6,7,4,2,8,3,1,5]=>[3,2,5,7,1,6,8,4]=>[1,3,3,1]=>11001001=>4 [6,7,4,2,8,3,5,1]=>[3,2,5,7,1,6,4,8]=>[1,3,2,2]=>11001010=>5 [3,6,7,2,8,4,5,1]=>[6,3,2,7,1,5,4,8]=>[1,1,2,2,2]=>11101010=>5 [3,6,7,2,8,4,1,5]=>[6,3,2,7,1,5,8,4]=>[1,1,2,3,1]=>11101001=>4 [3,6,7,2,1,8,4,5]=>[6,3,2,7,8,1,5,4]=>[1,1,3,2,1]=>11100101=>4 [5,7,3,8,2,1,4,6]=>[4,2,6,1,7,8,5,3]=>[1,2,3,1,1]=>11010011=>4 [3,4,7,8,2,1,5,6]=>[6,5,2,1,7,8,4,3]=>[1,1,1,3,1,1]=>11110011=>2 [3,7,8,1,4,6,2,5]=>[6,2,1,8,5,3,7,4]=>[1,1,2,1,2,1]=>11101101=>4 [3,4,7,8,2,6,1,5]=>[6,5,2,1,7,3,8,4]=>[1,1,1,2,2,1]=>11110101=>4 [5,7,3,8,2,6,1,4]=>[4,2,6,1,7,3,8,5]=>[1,2,2,2,1]=>11010101=>6 [3,6,7,2,8,5,1,4]=>[6,3,2,7,1,4,8,5]=>[1,1,2,3,1]=>11101001=>4 [3,6,7,8,5,2,1,4]=>[6,3,2,1,4,7,8,5]=>[1,1,1,4,1]=>11110001=>2 [3,6,7,8,5,2,4,1]=>[6,3,2,1,4,7,5,8]=>[1,1,1,3,2]=>11110010=>3 [6,4,7,8,2,5,3,1]=>[3,5,2,1,7,4,6,8]=>[2,1,2,3]=>10110100=>5 [6,4,7,8,2,1,5,3]=>[3,5,2,1,7,8,4,6]=>[2,1,3,2]=>10110010=>5 [4,1,5,7,8,2,6,3]=>[5,8,4,2,1,7,3,6]=>[2,1,1,2,2]=>10111010=>5 [5,3,7,8,1,6,2,4]=>[4,6,2,1,8,3,7,5]=>[2,1,2,2,1]=>10110101=>6 [6,7,2,8,5,1,3,4]=>[3,2,7,1,4,8,6,5]=>[1,2,3,1,1]=>11010011=>4 [6,4,1,7,8,2,5,3]=>[3,5,8,2,1,7,4,6]=>[3,1,2,2]=>10011010=>5 [5,1,6,2,7,8,4,3]=>[4,8,3,7,2,1,5,6]=>[2,2,1,3]=>10101100=>5 [5,6,2,1,7,8,4,3]=>[4,3,7,8,2,1,5,6]=>[1,3,1,3]=>11001100=>3 [5,6,2,7,1,8,4,3]=>[4,3,7,2,8,1,5,6]=>[1,2,2,3]=>11010100=>5 [5,6,2,7,8,4,3,1]=>[4,3,7,2,1,5,6,8]=>[1,2,1,4]=>11011000=>3 [5,6,7,2,8,4,3,1]=>[4,3,2,7,1,5,6,8]=>[1,1,2,4]=>11101000=>3 [5,6,7,2,1,8,4,3]=>[4,3,2,7,8,1,5,6]=>[1,1,3,3]=>11100100=>3 [5,6,1,7,2,8,4,3]=>[4,3,8,2,7,1,5,6]=>[1,2,2,3]=>11010100=>5 [5,1,6,7,2,8,4,3]=>[4,8,3,2,7,1,5,6]=>[2,1,2,3]=>10110100=>5 [6,4,7,1,8,2,5,3]=>[3,5,2,8,1,7,4,6]=>[2,2,2,2]=>10101010=>7 [3,6,7,1,8,5,2,4]=>[6,3,2,8,1,4,7,5]=>[1,1,2,3,1]=>11101001=>4 [6,7,8,5,2,4,1,3]=>[3,2,1,4,7,5,8,6]=>[1,1,3,2,1]=>11100101=>4 [6,7,8,3,5,1,4,2]=>[3,2,1,6,4,8,5,7]=>[1,1,2,2,2]=>11101010=>5 [4,6,7,8,1,5,3,2]=>[5,3,2,1,8,4,6,7]=>[1,1,1,2,3]=>11110100=>3 [5,1,6,7,8,4,3,2]=>[4,8,3,2,1,5,6,7]=>[2,1,1,4]=>10111000=>3 [5,6,1,7,8,4,3,2]=>[4,3,8,2,1,5,6,7]=>[1,2,1,4]=>11011000=>3 [5,6,7,1,8,4,3,2]=>[4,3,2,8,1,5,6,7]=>[1,1,2,4]=>11101000=>3 [8,6,1,3,4,2,5,7]=>[1,3,8,6,5,7,4,2]=>[3,1,2,1,1]=>10011011=>4 [8,3,2,5,1,6,4,7]=>[1,6,7,4,8,3,5,2]=>[3,2,2,1]=>10010101=>6 [8,5,3,6,2,4,1,7]=>[1,4,6,3,7,5,8,2]=>[3,2,2,1]=>10010101=>6 [5,3,2,7,4,1,8,6]=>[4,6,7,2,5,8,1,3]=>[3,3,2]=>10010010=>5 [7,5,3,8,2,4,6,1]=>[2,4,6,1,7,5,3,8]=>[3,2,1,2]=>10010110=>5 [7,2,4,5,8,3,6,1]=>[2,7,5,4,1,6,3,8]=>[2,1,1,2,2]=>10111010=>5 [2,4,5,3,7,1,8,6]=>[7,5,4,6,2,8,1,3]=>[1,1,2,2,2]=>11101010=>5 [8,2,4,5,6,3,1,7]=>[1,7,5,4,3,6,8,2]=>[2,1,1,3,1]=>10111001=>4 [8,2,4,5,6,1,3,7]=>[1,7,5,4,3,8,6,2]=>[2,1,1,2,1,1]=>10111011=>4 [8,1,2,4,5,6,3,7]=>[1,8,7,5,4,3,6,2]=>[2,1,1,1,2,1]=>10111101=>4 [8,2,5,1,3,6,4,7]=>[1,7,4,8,6,3,5,2]=>[2,2,1,2,1]=>10101101=>6 [8,5,6,2,1,4,3,7]=>[1,4,3,7,8,5,6,2]=>[2,3,2,1]=>10100101=>6 [8,5,3,6,4,1,2,7]=>[1,4,6,3,5,8,7,2]=>[3,3,1,1]=>10010011=>4 [8,4,1,5,6,3,2,7]=>[1,5,8,4,3,6,7,2]=>[3,1,3,1]=>10011001=>4 [8,1,4,5,6,3,2,7]=>[1,8,5,4,3,6,7,2]=>[2,1,1,3,1]=>10111001=>4 [4,5,3,7,2,1,8,6]=>[5,4,6,2,7,8,1,3]=>[1,2,3,2]=>11010010=>5 [7,4,5,8,3,2,6,1]=>[2,5,4,1,6,7,3,8]=>[2,1,3,2]=>10110010=>5 [4,3,6,7,2,8,5,1]=>[5,6,3,2,7,1,4,8]=>[2,1,2,3]=>10110100=>5 [4,3,6,7,2,8,1,5]=>[5,6,3,2,7,1,8,4]=>[2,1,2,2,1]=>10110101=>6 [1,4,3,6,7,2,8,5]=>[8,5,6,3,2,7,1,4]=>[1,2,1,2,2]=>11011010=>5 [4,5,3,7,1,8,2,6]=>[5,4,6,2,8,1,7,3]=>[1,2,2,2,1]=>11010101=>6 [4,1,5,3,7,2,8,6]=>[5,8,4,6,2,7,1,3]=>[2,2,2,2]=>10101010=>7 [5,3,4,7,1,2,8,6]=>[4,6,5,2,8,7,1,3]=>[2,1,2,1,2]=>10110110=>5 [7,5,8,2,1,4,6,3]=>[2,4,1,7,8,5,3,6]=>[2,3,1,2]=>10100110=>5 [7,5,3,8,4,1,6,2]=>[2,4,6,1,5,8,3,7]=>[3,3,2]=>10010010=>5 [7,4,5,8,3,6,1,2]=>[2,5,4,1,6,3,8,7]=>[2,1,2,2,1]=>10110101=>6 [4,3,6,7,8,1,5,2]=>[5,6,3,2,1,8,4,7]=>[2,1,1,2,2]=>10111010=>5 [1,6,4,7,8,3,5,2]=>[8,3,5,2,1,6,4,7]=>[1,2,1,2,2]=>11011010=>5 [6,4,7,8,3,5,2,1]=>[3,5,2,1,6,4,7,8]=>[2,1,2,3]=>10110100=>5 [3,5,6,7,8,4,1,2]=>[6,4,3,2,1,5,8,7]=>[1,1,1,1,3,1]=>11111001=>2 [3,1,5,6,7,8,4,2]=>[6,8,4,3,2,1,5,7]=>[2,1,1,1,3]=>10111100=>3 [4,6,1,7,8,3,5,2]=>[5,3,8,2,1,6,4,7]=>[1,2,1,2,2]=>11011010=>5 [3,6,7,1,4,8,5,2]=>[6,3,2,8,5,1,4,7]=>[1,1,2,1,3]=>11101100=>3 [6,2,4,1,7,8,5,3]=>[3,7,5,8,2,1,4,6]=>[2,2,1,3]=>10101100=>5 [2,6,7,1,4,8,3,5]=>[7,3,2,8,5,1,6,4]=>[1,1,2,1,2,1]=>11101101=>4 [4,3,6,7,8,1,2,5]=>[5,6,3,2,1,8,7,4]=>[2,1,1,2,1,1]=>10111011=>4 [1,5,3,6,7,8,2,4]=>[8,4,6,3,2,1,7,5]=>[1,2,1,1,2,1]=>11011101=>4 [3,5,6,7,8,2,1,4]=>[6,4,3,2,1,7,8,5]=>[1,1,1,1,3,1]=>11111001=>2 [3,5,6,7,8,2,4,1]=>[6,4,3,2,1,7,5,8]=>[1,1,1,1,2,2]=>11111010=>3 [5,2,7,1,3,8,4,6]=>[4,7,2,8,6,1,5,3]=>[2,2,1,2,1]=>10101101=>6 [5,3,1,7,8,2,4,6]=>[4,6,8,2,1,7,5,3]=>[3,1,2,1,1]=>10011011=>4 [4,5,2,7,8,1,3,6]=>[5,4,7,2,1,8,6,3]=>[1,2,1,2,1,1]=>11011011=>4 [4,2,6,7,8,3,1,5]=>[5,7,3,2,1,6,8,4]=>[2,1,1,3,1]=>10111001=>4 [4,2,6,7,8,3,5,1]=>[5,7,3,2,1,6,4,8]=>[2,1,1,2,2]=>10111010=>5 [3,6,2,7,4,8,5,1]=>[6,3,7,2,5,1,4,8]=>[1,2,2,3]=>11010100=>5 [3,6,2,7,4,8,1,5]=>[6,3,7,2,5,1,8,4]=>[1,2,2,2,1]=>11010101=>6 [3,2,1,6,4,7,8,5]=>[6,7,8,3,5,2,1,4]=>[3,2,1,2]=>10010110=>5 [3,7,4,2,1,5,8,6]=>[6,2,5,7,8,4,1,3]=>[1,4,1,2]=>11000110=>3 [1,7,3,4,2,5,8,6]=>[8,2,6,5,7,4,1,3]=>[1,2,2,1,2]=>11010110=>5 [4,7,2,1,3,5,8,6]=>[5,2,7,8,6,4,1,3]=>[1,3,1,1,2]=>11001110=>3 [7,8,4,2,1,3,6,5]=>[2,1,5,7,8,6,3,4]=>[1,4,1,2]=>11000110=>3 [7,8,1,3,4,2,6,5]=>[2,1,8,6,5,7,3,4]=>[1,2,1,2,2]=>11011010=>5 [7,8,3,4,2,1,6,5]=>[2,1,6,5,7,8,3,4]=>[1,2,3,2]=>11010010=>5 [6,3,2,7,1,8,5,4]=>[3,6,7,2,8,1,4,5]=>[3,2,3]=>10010100=>5 [3,6,2,7,1,8,5,4]=>[6,3,7,2,8,1,4,5]=>[1,2,2,3]=>11010100=>5 [6,7,3,8,2,5,4,1]=>[3,2,6,1,7,4,5,8]=>[1,2,2,3]=>11010100=>5 [6,4,7,8,5,2,3,1]=>[3,5,2,1,4,7,6,8]=>[2,1,3,2]=>10110010=>5 [2,6,4,7,8,1,5,3]=>[7,3,5,2,1,8,4,6]=>[1,2,1,2,2]=>11011010=>5 [4,6,2,7,8,1,5,3]=>[5,3,7,2,1,8,4,6]=>[1,2,1,2,2]=>11011010=>5 [7,4,5,8,6,2,1,3]=>[2,5,4,1,3,7,8,6]=>[2,1,4,1]=>10110001=>4 [7,4,1,5,8,6,2,3]=>[2,5,8,4,1,3,7,6]=>[3,1,3,1]=>10011001=>4 [7,5,3,8,6,1,2,4]=>[2,4,6,1,3,8,7,5]=>[3,3,1,1]=>10010011=>4 [7,5,8,2,1,6,3,4]=>[2,4,1,7,8,3,6,5]=>[2,3,2,1]=>10100101=>6 [6,2,7,1,3,8,5,4]=>[3,7,2,8,6,1,4,5]=>[2,2,1,3]=>10101100=>5 [6,3,1,7,8,2,5,4]=>[3,6,8,2,1,7,4,5]=>[3,1,2,2]=>10011010=>5 [4,6,1,7,8,5,2,3]=>[5,3,8,2,1,4,7,6]=>[1,2,1,3,1]=>11011001=>4 [5,1,2,6,7,8,4,3]=>[4,8,7,3,2,1,5,6]=>[2,1,1,1,3]=>10111100=>3 [5,2,6,7,8,4,1,3]=>[4,7,3,2,1,5,8,6]=>[2,1,1,3,1]=>10111001=>4 [5,2,6,7,8,4,3,1]=>[4,7,3,2,1,5,6,8]=>[2,1,1,4]=>10111000=>3 [2,5,6,7,8,4,1,3]=>[7,4,3,2,1,5,8,6]=>[1,1,1,1,3,1]=>11111001=>2 [1,5,2,6,7,8,4,3]=>[8,4,7,3,2,1,5,6]=>[1,2,1,1,3]=>11011100=>3 [1,6,4,7,8,5,2,3]=>[8,3,5,2,1,4,7,6]=>[1,2,1,3,1]=>11011001=>4 [2,6,7,1,3,8,5,4]=>[7,3,2,8,6,1,4,5]=>[1,1,2,1,3]=>11101100=>3 [6,7,8,2,1,5,4,3]=>[3,2,1,7,8,4,5,6]=>[1,1,3,3]=>11100100=>3 [6,7,3,8,5,1,4,2]=>[3,2,6,1,4,8,5,7]=>[1,2,3,2]=>11010010=>5 [6,4,7,8,5,3,1,2]=>[3,5,2,1,4,6,8,7]=>[2,1,4,1]=>10110001=>4 [4,5,2,3,7,6,1,8]=>[5,4,7,6,2,3,8,1]=>[1,2,1,3,1]=>11011001=>4 [6,4,3,7,2,5,1,8]=>[3,5,6,2,7,4,8,1]=>[3,2,2,1]=>10010101=>6 [8,4,3,6,5,1,2,7]=>[1,5,6,3,4,8,7,2]=>[3,3,1,1]=>10010011=>4 [1,5,6,3,4,8,7,2]=>[8,4,3,6,5,1,2,7]=>[1,1,2,1,3]=>11101100=>3 [4,6,2,7,3,5,1,8]=>[5,3,7,2,6,4,8,1]=>[1,2,2,2,1]=>11010101=>6 [3,2,6,7,4,5,1,8]=>[6,7,3,2,5,4,8,1]=>[2,1,2,2,1]=>10110101=>6 [4,7,2,6,5,3,1,8]=>[5,2,7,3,4,6,8,1]=>[1,2,4,1]=>11010001=>4 [5,7,6,2,4,3,1,8]=>[4,2,3,7,5,6,8,1]=>[1,3,3,1]=>11001001=>4 [1,7,5,4,8,3,6,2]=>[8,2,4,5,1,6,3,7]=>[1,3,2,2]=>11001010=>5 [8,7,5,4,1,3,2,6]=>[1,2,4,5,8,6,7,3]=>[5,2,1]=>10000101=>4 [6,8,5,4,2,1,3,7]=>[3,1,4,5,7,8,6,2]=>[1,5,1,1]=>11000011=>2 [5,8,6,2,4,1,3,7]=>[4,1,3,7,5,8,6,2]=>[1,3,2,1,1]=>11001011=>4 [4,8,2,6,5,1,3,7]=>[5,1,7,3,4,8,6,2]=>[1,2,3,1,1]=>11010011=>4 [3,2,8,6,5,1,4,7]=>[6,7,1,3,4,8,5,2]=>[2,4,1,1]=>10100011=>4 [4,1,2,6,5,8,7,3]=>[5,8,7,3,4,1,2,6]=>[2,1,2,3]=>10110100=>5 [5,1,6,2,4,8,7,3]=>[4,8,3,7,5,1,2,6]=>[2,2,1,3]=>10101100=>5 [6,1,5,4,2,8,7,3]=>[3,8,4,5,7,1,2,6]=>[2,3,3]=>10100100=>5 [7,1,5,4,8,2,6,3]=>[2,8,4,5,1,7,3,6]=>[2,2,2,2]=>10101010=>7 [8,1,5,4,7,6,2,3]=>[1,8,4,5,2,3,7,6]=>[2,2,3,1]=>10101001=>6 [1,8,6,7,4,5,3,2]=>[8,1,3,2,5,4,6,7]=>[1,2,2,3]=>11010100=>5 [8,1,6,7,4,5,2,3]=>[1,8,3,2,5,4,7,6]=>[2,1,2,2,1]=>10110101=>6 [7,1,6,8,4,2,5,3]=>[2,8,3,1,5,7,4,6]=>[2,1,3,2]=>10110010=>5 [6,1,7,8,2,4,5,3]=>[3,8,2,1,7,5,4,6]=>[2,1,2,1,2]=>10110110=>5 [5,1,7,2,8,4,6,3]=>[4,8,2,7,1,5,3,6]=>[2,2,2,2]=>10101010=>7 [4,1,2,7,8,5,6,3]=>[5,8,7,2,1,4,3,6]=>[2,1,1,2,2]=>10111010=>5 [3,2,1,7,8,5,6,4]=>[6,7,8,2,1,4,3,5]=>[3,1,2,2]=>10011010=>5 [3,2,8,7,1,5,4,6]=>[6,7,1,2,8,4,5,3]=>[2,3,2,1]=>10100101=>6 [4,8,2,7,1,5,3,6]=>[5,1,7,2,8,4,6,3]=>[1,2,2,2,1]=>11010101=>6 [5,8,7,2,1,4,3,6]=>[4,1,2,7,8,5,6,3]=>[1,4,2,1]=>11000101=>4 [6,8,7,1,2,4,3,5]=>[3,1,2,8,7,5,6,4]=>[1,3,1,2,1]=>11001101=>4 [7,8,6,1,4,2,3,5]=>[2,1,3,8,5,7,6,4]=>[1,3,2,1,1]=>11001011=>4 [8,7,6,1,4,3,2,5]=>[1,2,3,8,5,6,7,4]=>[4,3,1]=>10001001=>4 [1,7,6,8,4,3,5,2]=>[8,2,3,1,5,6,4,7]=>[1,2,3,2]=>11010010=>5 [1,6,7,8,3,4,5,2]=>[8,3,2,1,6,5,4,7]=>[1,1,1,2,1,2]=>11110110=>3 [8,6,7,1,3,4,2,5]=>[1,3,2,8,6,5,7,4]=>[2,2,1,2,1]=>10101101=>6 [7,6,8,1,3,2,4,5]=>[2,3,1,8,6,7,5,4]=>[2,2,2,1,1]=>10101011=>6 [5,7,8,2,1,3,4,6]=>[4,2,1,7,8,6,5,3]=>[1,1,3,1,1,1]=>11100111=>2 [4,7,2,8,1,3,5,6]=>[5,2,7,1,8,6,4,3]=>[1,2,2,1,1,1]=>11010111=>4 [3,2,6,8,4,1,5,7]=>[6,7,3,1,5,8,4,2]=>[2,1,3,1,1]=>10110011=>4 [4,6,2,8,3,1,5,7]=>[5,3,7,1,6,8,4,2]=>[1,2,3,1,1]=>11010011=>4 [5,6,8,2,3,1,4,7]=>[4,3,1,7,6,8,5,2]=>[1,1,2,2,1,1]=>11101011=>4 [6,5,8,3,2,1,4,7]=>[3,4,1,6,7,8,5,2]=>[2,4,1,1]=>10100011=>4 [7,5,8,3,1,2,4,6]=>[2,4,1,6,8,7,5,3]=>[2,3,1,1,1]=>10100111=>4 [8,5,7,3,1,4,2,6]=>[1,4,2,6,8,5,7,3]=>[2,3,2,1]=>10100101=>6 [1,5,7,3,8,4,6,2]=>[8,4,2,6,1,5,3,7]=>[1,1,2,2,2]=>11101010=>5 [1,4,3,7,8,5,6,2]=>[8,5,6,2,1,4,3,7]=>[1,2,1,2,2]=>11011010=>5 [8,4,3,7,1,5,2,6]=>[1,5,6,2,8,4,7,3]=>[3,2,2,1]=>10010101=>6 [6,4,3,8,2,1,5,7]=>[3,5,6,1,7,8,4,2]=>[3,3,1,1]=>10010011=>4 [4,5,2,3,8,1,6,7]=>[5,4,7,6,1,8,3,2]=>[1,2,1,2,1,1]=>11011011=>4 [3,2,5,4,8,1,6,7]=>[6,7,4,5,1,8,3,2]=>[2,2,2,1,1]=>10101011=>6 [4,5,2,3,1,8,7,6]=>[5,4,7,6,8,1,2,3]=>[1,2,2,3]=>11010100=>5 [6,4,3,1,2,8,7,5]=>[3,5,6,8,7,1,2,4]=>[4,1,3]=>10001100=>3 [7,4,3,1,8,2,6,5]=>[2,5,6,8,1,7,3,4]=>[4,2,2]=>10001010=>5 [8,4,3,1,7,6,2,5]=>[1,5,6,8,2,3,7,4]=>[4,3,1]=>10001001=>4 [1,5,8,3,7,6,4,2]=>[8,4,1,6,2,3,5,7]=>[1,1,2,4]=>11101000=>3 [8,5,1,3,7,6,2,4]=>[1,4,8,6,2,3,7,5]=>[3,1,3,1]=>10011001=>4 [7,5,1,3,8,2,6,4]=>[2,4,8,6,1,7,3,5]=>[3,1,2,2]=>10011010=>5 [6,5,1,3,2,8,7,4]=>[3,4,8,6,7,1,2,5]=>[3,2,3]=>10010100=>5 [5,6,1,2,3,8,7,4]=>[4,3,8,7,6,1,2,5]=>[1,2,1,1,3]=>11011100=>3 [4,6,2,1,3,8,7,5]=>[5,3,7,8,6,1,2,4]=>[1,3,1,3]=>11001100=>3 [3,2,6,1,4,8,7,5]=>[6,7,3,8,5,1,2,4]=>[2,2,1,3]=>10101100=>5 [3,2,7,1,8,4,6,5]=>[6,7,2,8,1,5,3,4]=>[2,2,2,2]=>10101010=>7 [4,7,2,1,8,3,6,5]=>[5,2,7,8,1,6,3,4]=>[1,3,2,2]=>11001010=>5 [5,7,1,2,8,3,6,4]=>[4,2,8,7,1,6,3,5]=>[1,2,1,2,2]=>11011010=>5 [6,7,1,8,2,3,5,4]=>[3,2,8,1,7,6,4,5]=>[1,2,2,1,2]=>11010110=>5 [7,6,1,8,3,2,5,4]=>[2,3,8,1,6,7,4,5]=>[3,3,2]=>10010010=>5 [8,6,1,7,3,5,2,4]=>[1,3,8,2,6,4,7,5]=>[3,2,2,1]=>10010101=>6 [1,6,8,7,3,5,4,2]=>[8,3,1,2,6,4,5,7]=>[1,1,3,3]=>11100100=>3 [1,7,8,6,5,3,4,2]=>[8,2,1,3,4,6,5,7]=>[1,1,4,2]=>11100010=>3 [8,7,1,6,5,3,2,4]=>[1,2,8,3,4,6,7,5]=>[3,4,1]=>10010001=>4 [7,8,1,6,5,2,3,4]=>[2,1,8,3,4,7,6,5]=>[1,2,3,1,1]=>11010011=>4 [6,8,1,7,2,5,3,4]=>[3,1,8,2,7,4,6,5]=>[1,2,2,2,1]=>11010101=>6 [5,8,1,2,7,6,3,4]=>[4,1,8,7,2,3,6,5]=>[1,2,1,3,1]=>11011001=>4 [4,8,2,1,7,6,3,5]=>[5,1,7,8,2,3,6,4]=>[1,3,3,1]=>11001001=>4 [3,2,8,1,7,6,4,5]=>[6,7,1,8,2,3,5,4]=>[2,2,3,1]=>10101001=>6 [4,1,2,8,7,6,5,3]=>[5,8,7,1,2,3,4,6]=>[2,1,5]=>10110000=>3 [5,1,8,2,7,6,4,3]=>[4,8,1,7,2,3,5,6]=>[2,2,4]=>10101000=>5 [6,1,8,7,2,5,4,3]=>[3,8,1,2,7,4,5,6]=>[2,3,3]=>10100100=>5 [7,1,8,6,5,2,4,3]=>[2,8,1,3,4,7,5,6]=>[2,4,2]=>10100010=>5 [8,1,7,6,5,4,2,3]=>[1,8,2,3,4,5,7,6]=>[2,5,1]=>10100001=>4 [3,1,2,6,5,8,7,4]=>[6,8,7,3,4,1,2,5]=>[2,1,2,3]=>10110100=>5 [3,1,6,2,4,8,7,5]=>[6,8,3,7,5,1,2,4]=>[2,2,1,3]=>10101100=>5 [3,1,5,2,4,8,7,6]=>[6,8,4,7,5,1,2,3]=>[2,2,1,3]=>10101100=>5 [4,5,1,2,3,8,7,6]=>[5,4,8,7,6,1,2,3]=>[1,2,1,1,3]=>11011100=>3 [4,6,1,2,3,8,7,5]=>[5,3,8,7,6,1,2,4]=>[1,2,1,1,3]=>11011100=>3 [1,6,5,3,4,8,7,2]=>[8,3,4,6,5,1,2,7]=>[1,3,1,3]=>11001100=>3 [6,1,5,2,4,8,7,3]=>[3,8,4,7,5,1,2,6]=>[2,2,1,3]=>10101100=>5 [6,5,1,2,3,8,7,4]=>[3,4,8,7,6,1,2,5]=>[3,1,1,3]=>10011100=>3 [6,4,1,2,3,8,7,5]=>[3,5,8,7,6,1,2,4]=>[3,1,1,3]=>10011100=>3 [5,4,1,2,3,8,7,6]=>[4,5,8,7,6,1,2,3]=>[3,1,1,3]=>10011100=>3 [5,4,1,2,7,3,6,8]=>[4,5,8,7,2,6,3,1]=>[3,1,2,1,1]=>10011011=>4 [6,4,1,7,2,3,5,8]=>[3,5,8,2,7,6,4,1]=>[3,2,1,1,1]=>10010111=>4 [6,4,1,8,2,3,5,7]=>[3,5,8,1,7,6,4,2]=>[3,2,1,1,1]=>10010111=>4 [7,4,1,2,8,3,6,5]=>[2,5,8,7,1,6,3,4]=>[3,1,2,2]=>10011010=>5 [7,5,1,2,8,3,6,4]=>[2,4,8,7,1,6,3,5]=>[3,1,2,2]=>10011010=>5 [7,1,5,2,8,4,6,3]=>[2,8,4,7,1,5,3,6]=>[2,2,2,2]=>10101010=>7 [1,7,5,3,8,4,6,2]=>[8,2,4,6,1,5,3,7]=>[1,3,2,2]=>11001010=>5 [1,8,5,3,7,4,6,2]=>[8,1,4,6,2,5,3,7]=>[1,3,2,2]=>11001010=>5 [8,1,5,2,7,4,6,3]=>[1,8,4,7,2,5,3,6]=>[2,2,2,2]=>10101010=>7 [8,5,1,2,7,3,6,4]=>[1,4,8,7,2,6,3,5]=>[3,1,2,2]=>10011010=>5 [8,4,1,2,7,3,6,5]=>[1,5,8,7,2,6,3,4]=>[3,1,2,2]=>10011010=>5 [8,4,1,7,2,3,5,6]=>[1,5,8,2,7,6,4,3]=>[3,2,1,1,1]=>10010111=>4 [7,4,1,6,2,3,5,8]=>[2,5,8,3,7,6,4,1]=>[3,2,1,1,1]=>10010111=>4 [8,6,1,7,2,3,5,4]=>[1,3,8,2,7,6,4,5]=>[3,2,1,2]=>10010110=>5 [8,1,6,7,2,4,5,3]=>[1,8,3,2,7,5,4,6]=>[2,1,2,1,2]=>10110110=>5 [1,8,6,7,3,4,5,2]=>[8,1,3,2,6,5,4,7]=>[1,2,2,1,2]=>11010110=>5 [1,7,6,8,3,4,5,2]=>[8,2,3,1,6,5,4,7]=>[1,2,2,1,2]=>11010110=>5 [7,1,6,8,2,4,5,3]=>[2,8,3,1,7,5,4,6]=>[2,1,2,1,2]=>10110110=>5 [7,6,1,8,2,3,5,4]=>[2,3,8,1,7,6,4,5]=>[3,2,1,2]=>10010110=>5 [4,7,1,2,8,3,6,5]=>[5,2,8,7,1,6,3,4]=>[1,2,1,2,2]=>11011010=>5 [3,1,7,2,8,4,6,5]=>[6,8,2,7,1,5,3,4]=>[2,2,2,2]=>10101010=>7 [3,1,2,7,8,5,6,4]=>[6,8,7,2,1,4,3,5]=>[2,1,1,2,2]=>10111010=>5 [1,4,3,8,7,5,6,2]=>[8,5,6,1,2,4,3,7]=>[1,2,3,2]=>11010010=>5 [4,1,2,8,7,5,6,3]=>[5,8,7,1,2,4,3,6]=>[2,1,3,2]=>10110010=>5 [3,1,2,8,7,5,6,4]=>[6,8,7,1,2,4,3,5]=>[2,1,3,2]=>10110010=>5 [3,1,8,2,7,4,6,5]=>[6,8,1,7,2,5,3,4]=>[2,2,2,2]=>10101010=>7 [3,1,8,7,2,4,5,6]=>[6,8,1,2,7,5,4,3]=>[2,3,1,1,1]=>10100111=>4 [3,1,7,6,2,4,5,8]=>[6,8,2,3,7,5,4,1]=>[2,3,1,1,1]=>10100111=>4 [4,7,1,6,2,3,5,8]=>[5,2,8,3,7,6,4,1]=>[1,2,2,1,1,1]=>11010111=>4 [4,8,1,6,2,3,5,7]=>[5,1,8,3,7,6,4,2]=>[1,2,2,1,1,1]=>11010111=>4 [4,8,1,7,2,3,5,6]=>[5,1,8,2,7,6,4,3]=>[1,2,2,1,1,1]=>11010111=>4 [4,8,1,2,7,3,6,5]=>[5,1,8,7,2,6,3,4]=>[1,2,1,2,2]=>11011010=>5 [5,8,1,2,7,3,6,4]=>[4,1,8,7,2,6,3,5]=>[1,2,1,2,2]=>11011010=>5 [5,1,8,2,7,4,6,3]=>[4,8,1,7,2,5,3,6]=>[2,2,2,2]=>10101010=>7 [1,5,8,3,7,4,6,2]=>[8,4,1,6,2,5,3,7]=>[1,1,2,2,2]=>11101010=>5 [1,6,8,7,3,4,5,2]=>[8,3,1,2,6,5,4,7]=>[1,1,3,1,2]=>11100110=>3 [6,1,8,7,2,4,5,3]=>[3,8,1,2,7,5,4,6]=>[2,3,1,2]=>10100110=>5 [6,8,1,7,2,3,5,4]=>[3,1,8,2,7,6,4,5]=>[1,2,2,1,2]=>11010110=>5 [6,8,7,1,2,3,4,5]=>[3,1,2,8,7,6,5,4]=>[1,3,1,1,1,1]=>11001111=>2 [5,8,7,1,2,3,4,6]=>[4,1,2,8,7,6,5,3]=>[1,3,1,1,1,1]=>11001111=>2 [5,8,6,1,2,3,4,7]=>[4,1,3,8,7,6,5,2]=>[1,3,1,1,1,1]=>11001111=>2 [5,7,6,1,2,3,4,8]=>[4,2,3,8,7,6,5,1]=>[1,3,1,1,1,1]=>11001111=>2 [7,8,1,6,2,3,5,4]=>[2,1,8,3,7,6,4,5]=>[1,2,2,1,2]=>11010110=>5 [7,1,8,6,2,4,5,3]=>[2,8,1,3,7,5,4,6]=>[2,3,1,2]=>10100110=>5 [1,7,8,6,3,4,5,2]=>[8,2,1,3,6,5,4,7]=>[1,1,3,1,2]=>11100110=>3 [1,8,7,6,3,4,5,2]=>[8,1,2,3,6,5,4,7]=>[1,4,1,2]=>11000110=>3 [8,1,7,6,2,4,5,3]=>[1,8,2,3,7,5,4,6]=>[2,3,1,2]=>10100110=>5 [8,7,1,6,2,3,5,4]=>[1,2,8,3,7,6,4,5]=>[3,2,1,2]=>10010110=>5 [3,2,5,1,6,4,8,7]=>[6,7,4,8,3,5,1,2]=>[2,2,2,2]=>10101010=>7 [3,2,5,4,7,1,8,6]=>[6,7,4,5,2,8,1,3]=>[2,2,2,2]=>10101010=>7 [4,2,5,3,7,6,8,1]=>[5,7,4,6,2,3,1,8]=>[2,2,2,2]=>10101010=>7 [4,2,5,3,7,1,8,6]=>[5,7,4,6,2,8,1,3]=>[2,2,2,2]=>10101010=>7 [4,2,5,3,6,1,8,7]=>[5,7,4,6,3,8,1,2]=>[2,2,2,2]=>10101010=>7 [4,2,5,1,6,3,8,7]=>[5,7,4,8,3,6,1,2]=>[2,2,2,2]=>10101010=>7 [3,1,5,4,6,2,8,7]=>[6,8,4,5,3,7,1,2]=>[2,2,2,2]=>10101010=>7 [4,1,5,3,6,2,8,7]=>[5,8,4,6,3,7,1,2]=>[2,2,2,2]=>10101010=>7 [4,3,5,1,6,2,8,7]=>[5,6,4,8,3,7,1,2]=>[2,2,2,2]=>10101010=>7 [4,3,5,2,7,1,8,6]=>[5,6,4,7,2,8,1,3]=>[2,2,2,2]=>10101010=>7 [4,3,6,2,7,5,8,1]=>[5,6,3,7,2,4,1,8]=>[2,2,2,2]=>10101010=>7 [4,3,6,2,7,1,8,5]=>[5,6,3,7,2,8,1,4]=>[2,2,2,2]=>10101010=>7 [4,3,6,1,7,2,8,5]=>[5,6,3,8,2,7,1,4]=>[2,2,2,2]=>10101010=>7 [4,3,5,1,7,2,8,6]=>[5,6,4,8,2,7,1,3]=>[2,2,2,2]=>10101010=>7 [3,1,5,4,7,2,8,6]=>[6,8,4,5,2,7,1,3]=>[2,2,2,2]=>10101010=>7 [2,1,5,4,7,3,8,6]=>[7,8,4,5,2,6,1,3]=>[2,2,2,2]=>10101010=>7 [3,1,5,4,7,6,8,2]=>[6,8,4,5,2,3,1,7]=>[2,2,2,2]=>10101010=>7 [4,1,5,3,7,6,8,2]=>[5,8,4,6,2,3,1,7]=>[2,2,2,2]=>10101010=>7 [4,3,5,1,7,6,8,2]=>[5,6,4,8,2,3,1,7]=>[2,2,2,2]=>10101010=>7 [4,3,6,1,7,5,8,2]=>[5,6,3,8,2,4,1,7]=>[2,2,2,2]=>10101010=>7 [4,3,6,5,7,1,8,2]=>[5,6,3,4,2,8,1,7]=>[2,2,2,2]=>10101010=>7 [5,3,6,4,7,2,8,1]=>[4,6,3,5,2,7,1,8]=>[2,2,2,2]=>10101010=>7 [5,3,6,4,7,1,8,2]=>[4,6,3,5,2,8,1,7]=>[2,2,2,2]=>10101010=>7 [5,3,6,1,7,4,8,2]=>[4,6,3,8,2,5,1,7]=>[2,2,2,2]=>10101010=>7 [5,1,6,3,7,4,8,2]=>[4,8,3,6,2,5,1,7]=>[2,2,2,2]=>10101010=>7 [4,1,6,3,7,5,8,2]=>[5,8,3,6,2,4,1,7]=>[2,2,2,2]=>10101010=>7 [3,1,6,4,7,5,8,2]=>[6,8,3,5,2,4,1,7]=>[2,2,2,2]=>10101010=>7 [2,1,6,4,7,5,8,3]=>[7,8,3,5,2,4,1,6]=>[2,2,2,2]=>10101010=>7 [2,1,6,4,7,3,8,5]=>[7,8,3,5,2,6,1,4]=>[2,2,2,2]=>10101010=>7 [3,1,6,4,7,2,8,5]=>[6,8,3,5,2,7,1,4]=>[2,2,2,2]=>10101010=>7 [4,1,6,3,7,2,8,5]=>[5,8,3,6,2,7,1,4]=>[2,2,2,2]=>10101010=>7 [5,1,6,3,7,2,8,4]=>[4,8,3,6,2,7,1,5]=>[2,2,2,2]=>10101010=>7 [5,3,6,1,7,2,8,4]=>[4,6,3,8,2,7,1,5]=>[2,2,2,2]=>10101010=>7 [5,3,6,2,7,1,8,4]=>[4,6,3,7,2,8,1,5]=>[2,2,2,2]=>10101010=>7 [5,3,6,2,7,4,8,1]=>[4,6,3,7,2,5,1,8]=>[2,2,2,2]=>10101010=>7 [5,2,6,3,7,4,8,1]=>[4,7,3,6,2,5,1,8]=>[2,2,2,2]=>10101010=>7 [5,2,6,3,7,1,8,4]=>[4,7,3,6,2,8,1,5]=>[2,2,2,2]=>10101010=>7 [5,2,6,1,7,3,8,4]=>[4,7,3,8,2,6,1,5]=>[2,2,2,2]=>10101010=>7 [4,2,5,1,7,3,8,6]=>[5,7,4,8,2,6,1,3]=>[2,2,2,2]=>10101010=>7 [4,2,6,1,7,3,8,5]=>[5,7,3,8,2,6,1,4]=>[2,2,2,2]=>10101010=>7 [4,2,6,3,7,1,8,5]=>[5,7,3,6,2,8,1,4]=>[2,2,2,2]=>10101010=>7 [4,2,6,3,7,5,8,1]=>[5,7,3,6,2,4,1,8]=>[2,2,2,2]=>10101010=>7 [3,2,6,4,7,5,8,1]=>[6,7,3,5,2,4,1,8]=>[2,2,2,2]=>10101010=>7 [3,2,6,4,7,1,8,5]=>[6,7,3,5,2,8,1,4]=>[2,2,2,2]=>10101010=>7 [3,2,6,1,7,4,8,5]=>[6,7,3,8,2,5,1,4]=>[2,2,2,2]=>10101010=>7 [3,2,5,1,7,4,8,6]=>[6,7,4,8,2,5,1,3]=>[2,2,2,2]=>10101010=>7 [3,2,4,1,7,5,8,6]=>[6,7,5,8,2,4,1,3]=>[2,2,2,2]=>10101010=>7 [3,1,4,2,7,6,8,5]=>[6,8,5,7,2,3,1,4]=>[2,2,2,2]=>10101010=>7 [3,2,5,1,7,6,8,4]=>[6,7,4,8,2,3,1,5]=>[2,2,2,2]=>10101010=>7 [3,2,6,1,7,5,8,4]=>[6,7,3,8,2,4,1,5]=>[2,2,2,2]=>10101010=>7 [3,2,6,5,7,1,8,4]=>[6,7,3,4,2,8,1,5]=>[2,2,2,2]=>10101010=>7 [4,2,6,5,7,3,8,1]=>[5,7,3,4,2,6,1,8]=>[2,2,2,2]=>10101010=>7 [4,2,6,5,7,1,8,3]=>[5,7,3,4,2,8,1,6]=>[2,2,2,2]=>10101010=>7 [4,2,6,1,7,5,8,3]=>[5,7,3,8,2,4,1,6]=>[2,2,2,2]=>10101010=>7 [4,2,5,1,7,6,8,3]=>[5,7,4,8,2,3,1,6]=>[2,2,2,2]=>10101010=>7 [4,1,5,2,7,6,8,3]=>[5,8,4,7,2,3,1,6]=>[2,2,2,2]=>10101010=>7 [3,1,5,2,7,6,8,4]=>[6,8,4,7,2,3,1,5]=>[2,2,2,2]=>10101010=>7 [2,1,5,3,7,6,8,4]=>[7,8,4,6,2,3,1,5]=>[2,2,2,2]=>10101010=>7 [2,1,6,3,7,5,8,4]=>[7,8,3,6,2,4,1,5]=>[2,2,2,2]=>10101010=>7 [3,1,6,2,7,5,8,4]=>[6,8,3,7,2,4,1,5]=>[2,2,2,2]=>10101010=>7 [4,1,6,2,7,5,8,3]=>[5,8,3,7,2,4,1,6]=>[2,2,2,2]=>10101010=>7 [5,1,6,2,7,4,8,3]=>[4,8,3,7,2,5,1,6]=>[2,2,2,2]=>10101010=>7 [5,2,6,1,7,4,8,3]=>[4,7,3,8,2,5,1,6]=>[2,2,2,2]=>10101010=>7 [5,2,6,4,7,1,8,3]=>[4,7,3,5,2,8,1,6]=>[2,2,2,2]=>10101010=>7 [5,2,6,4,7,3,8,1]=>[4,7,3,5,2,6,1,8]=>[2,2,2,2]=>10101010=>7 [5,4,6,2,7,3,8,1]=>[4,5,3,7,2,6,1,8]=>[2,2,2,2]=>10101010=>7 [5,4,6,2,7,1,8,3]=>[4,5,3,7,2,8,1,6]=>[2,2,2,2]=>10101010=>7 [5,4,6,1,7,2,8,3]=>[4,5,3,8,2,7,1,6]=>[2,2,2,2]=>10101010=>7 [5,1,6,4,7,2,8,3]=>[4,8,3,5,2,7,1,6]=>[2,2,2,2]=>10101010=>7 [4,1,6,5,7,2,8,3]=>[5,8,3,4,2,7,1,6]=>[2,2,2,2]=>10101010=>7 [3,1,6,5,7,2,8,4]=>[6,8,3,4,2,7,1,5]=>[2,2,2,2]=>10101010=>7 [2,1,6,5,7,3,8,4]=>[7,8,3,4,2,6,1,5]=>[2,2,2,2]=>10101010=>7 [3,1,6,5,7,4,8,2]=>[6,8,3,4,2,5,1,7]=>[2,2,2,2]=>10101010=>7 [4,1,6,5,7,3,8,2]=>[5,8,3,4,2,6,1,7]=>[2,2,2,2]=>10101010=>7 [5,1,6,4,7,3,8,2]=>[4,8,3,5,2,6,1,7]=>[2,2,2,2]=>10101010=>7 [5,4,6,1,7,3,8,2]=>[4,5,3,8,2,6,1,7]=>[2,2,2,2]=>10101010=>7 [5,4,6,3,7,1,8,2]=>[4,5,3,6,2,8,1,7]=>[2,2,2,2]=>10101010=>7 [8,3,5,2,1,6,4,7]=>[1,6,4,7,8,3,5,2]=>[2,3,2,1]=>10100101=>6 [8,6,3,5,2,4,1,7]=>[1,3,6,4,7,5,8,2]=>[3,2,2,1]=>10010101=>6 [3,7,5,2,4,1,8,6]=>[6,2,4,7,5,8,1,3]=>[1,3,2,2]=>11001010=>5 [8,3,7,5,2,4,6,1]=>[1,6,2,4,7,5,3,8]=>[2,3,1,2]=>10100110=>5 [8,2,4,5,7,3,6,1]=>[1,7,5,4,2,6,3,8]=>[2,1,1,2,2]=>10111010=>5 [2,4,5,7,3,1,8,6]=>[7,5,4,2,6,8,1,3]=>[1,1,1,3,2]=>11110010=>3 [8,2,4,6,5,3,1,7]=>[1,7,5,3,4,6,8,2]=>[2,1,4,1]=>10110001=>4 [8,2,5,4,6,1,3,7]=>[1,7,4,5,3,8,6,2]=>[2,2,2,1,1]=>10101011=>6 [8,6,3,5,1,4,2,7]=>[1,3,6,4,8,5,7,2]=>[3,2,2,1]=>10010101=>6 [8,6,1,4,5,3,2,7]=>[1,3,8,5,4,6,7,2]=>[3,1,3,1]=>10011001=>4 [8,1,5,6,4,3,2,7]=>[1,8,4,3,5,6,7,2]=>[2,1,4,1]=>10110001=>4 [5,7,4,3,2,1,8,6]=>[4,2,5,6,7,8,1,3]=>[1,5,2]=>11000010=>3 [8,5,7,4,3,2,6,1]=>[1,4,2,5,6,7,3,8]=>[2,4,2]=>10100010=>5 [4,6,8,3,2,7,5,1]=>[5,3,1,6,7,2,4,8]=>[1,1,3,3]=>11100100=>3 [4,7,6,3,2,8,1,5]=>[5,2,3,6,7,1,8,4]=>[1,4,2,1]=>11000101=>4 [1,4,6,7,3,2,8,5]=>[8,5,3,2,6,7,1,4]=>[1,1,1,3,2]=>11110010=>3 [5,4,7,3,1,8,2,6]=>[4,5,2,6,8,1,7,3]=>[2,3,2,1]=>10100101=>6 [1,7,4,5,3,2,8,6]=>[8,2,5,4,6,7,1,3]=>[1,2,3,2]=>11010010=>5 [3,7,5,1,4,2,8,6]=>[6,2,4,8,5,7,1,3]=>[1,3,2,2]=>11001010=>5 [5,7,4,2,1,3,8,6]=>[4,2,5,7,8,6,1,3]=>[1,4,1,2]=>11000110=>3 [8,5,7,4,2,1,6,3]=>[1,4,2,5,7,8,3,6]=>[2,4,2]=>10100010=>5 [8,3,7,5,1,4,6,2]=>[1,6,2,4,8,5,3,7]=>[2,3,1,2]=>10100110=>5 [8,4,1,7,5,3,6,2]=>[1,5,8,2,4,6,3,7]=>[3,3,2]=>10010010=>5 [4,6,3,8,7,1,5,2]=>[5,3,6,1,2,8,4,7]=>[1,2,3,2]=>11010010=>5 [1,7,4,8,6,3,5,2]=>[8,2,5,1,3,6,4,7]=>[1,2,3,2]=>11010010=>5 [8,4,7,6,3,5,2,1]=>[1,5,2,3,6,4,7,8]=>[2,3,3]=>10100100=>5 [3,6,5,8,7,4,1,2]=>[6,3,4,1,2,5,8,7]=>[1,2,4,1]=>11010001=>4 [3,1,5,8,6,7,4,2]=>[6,8,4,1,3,2,5,7]=>[2,1,2,3]=>10110100=>5 [4,8,1,6,7,3,5,2]=>[5,1,8,3,2,6,4,7]=>[1,2,1,2,2]=>11011010=>5 [3,6,4,1,8,7,5,2]=>[6,3,5,8,1,2,4,7]=>[1,3,4]=>11001000=>3 [8,2,6,1,4,7,5,3]=>[1,7,3,8,5,2,4,6]=>[2,2,1,3]=>10101100=>5 [2,7,6,8,1,4,3,5]=>[7,2,3,1,8,5,6,4]=>[1,2,2,2,1]=>11010101=>6 [3,7,1,6,4,8,2,5]=>[6,2,8,3,5,1,7,4]=>[1,2,2,2,1]=>11010101=>6 [1,7,3,5,6,8,2,4]=>[8,2,6,4,3,1,7,5]=>[1,2,1,1,2,1]=>11011101=>4 [1,3,6,7,5,8,2,4]=>[8,6,3,2,4,1,7,5]=>[1,1,1,2,2,1]=>11110101=>4 [3,7,6,5,8,2,1,4]=>[6,2,3,4,1,7,8,5]=>[1,3,3,1]=>11001001=>4 [3,6,8,5,7,2,4,1]=>[6,3,1,4,2,7,5,8]=>[1,1,2,2,2]=>11101010=>5 [2,3,5,7,6,8,1,4]=>[7,6,4,2,3,1,8,5]=>[1,1,1,2,2,1]=>11110101=>4 [2,1,6,5,7,8,3,4]=>[7,8,3,4,2,1,6,5]=>[2,2,1,2,1]=>10101101=>6 [4,2,7,6,8,3,1,5]=>[5,7,2,3,1,6,8,4]=>[2,2,3,1]=>10101001=>6 [4,2,6,8,7,3,5,1]=>[5,7,3,1,2,6,4,8]=>[2,1,3,2]=>10110010=>5 [3,8,2,4,6,7,5,1]=>[6,1,7,5,3,2,4,8]=>[1,2,1,1,3]=>11011100=>3 [3,7,2,6,4,8,1,5]=>[6,2,7,3,5,1,8,4]=>[1,2,2,2,1]=>11010101=>6 [3,2,6,1,4,7,8,5]=>[6,7,3,8,5,2,1,4]=>[2,2,1,1,2]=>10101110=>5 [5,3,7,2,1,8,4,6]=>[4,6,2,7,8,1,5,3]=>[2,3,2,1]=>10100101=>6 [4,7,3,2,1,5,8,6]=>[5,2,6,7,8,4,1,3]=>[1,4,1,2]=>11000110=>3 [8,7,6,1,3,4,2,5]=>[1,2,3,8,6,5,7,4]=>[4,1,2,1]=>10001101=>4 [8,5,7,3,2,1,6,4]=>[1,4,2,6,7,8,3,5]=>[2,4,2]=>10100010=>5 [8,3,6,7,2,1,5,4]=>[1,6,3,2,7,8,4,5]=>[2,1,3,2]=>10110010=>5 [3,7,8,6,2,1,5,4]=>[6,2,1,3,7,8,4,5]=>[1,1,4,2]=>11100010=>3 [8,7,6,3,5,2,4,1]=>[1,2,3,6,4,7,5,8]=>[4,2,2]=>10001010=>5 [2,7,4,8,1,6,5,3]=>[7,2,5,1,8,3,4,6]=>[1,2,2,3]=>11010100=>5 [4,6,8,2,1,7,5,3]=>[5,3,1,7,8,2,4,6]=>[1,1,3,3]=>11100100=>3 [8,4,1,5,7,2,6,3]=>[1,5,8,4,2,7,3,6]=>[3,1,2,2]=>10011010=>5 [8,5,3,7,1,6,2,4]=>[1,4,6,2,8,3,7,5]=>[3,2,2,1]=>10010101=>6 [8,5,7,2,1,3,6,4]=>[1,4,2,7,8,6,3,5]=>[2,3,1,2]=>10100110=>5 [8,2,6,7,1,3,5,4]=>[1,7,3,2,8,6,4,5]=>[2,1,2,1,2]=>10110110=>5 [8,3,6,1,7,5,2,4]=>[1,6,3,8,2,4,7,5]=>[2,2,3,1]=>10101001=>6 [4,6,1,8,7,2,5,3]=>[5,3,8,1,2,7,4,6]=>[1,2,3,2]=>11010010=>5 [8,1,2,5,6,7,4,3]=>[1,8,7,4,3,2,5,6]=>[2,1,1,1,3]=>10111100=>3 [8,2,6,5,7,4,1,3]=>[1,7,3,4,2,5,8,6]=>[2,2,3,1]=>10101001=>6 [2,1,7,8,5,6,4,3]=>[7,8,2,1,4,3,5,6]=>[2,1,2,3]=>10110100=>5 [8,2,5,7,6,4,3,1]=>[1,7,4,2,3,5,6,8]=>[2,1,5]=>10110000=>3 [2,7,6,8,5,4,1,3]=>[7,2,3,1,4,5,8,6]=>[1,2,4,1]=>11010001=>4 [1,7,2,5,8,6,4,3]=>[8,2,7,4,1,3,5,6]=>[1,2,1,4]=>11011000=>3 [1,7,4,8,2,6,5,3]=>[8,2,5,1,7,3,4,6]=>[1,2,2,3]=>11010100=>5 [3,7,8,1,6,5,2,4]=>[6,2,1,8,3,4,7,5]=>[1,1,2,3,1]=>11101001=>4 [2,7,8,6,1,3,5,4]=>[7,2,1,3,8,6,4,5]=>[1,1,3,1,2]=>11100110=>3 [8,7,6,3,5,1,4,2]=>[1,2,3,6,4,8,5,7]=>[4,2,2]=>10001010=>5 [8,4,7,6,5,1,3,2]=>[1,5,2,3,4,8,6,7]=>[2,4,2]=>10100010=>5 [8,7,1,5,6,4,3,2]=>[1,2,8,4,3,5,6,7]=>[3,1,4]=>10011000=>3 [8,1,6,7,5,4,3,2]=>[1,8,3,2,4,5,6,7]=>[2,1,5]=>10110000=>3 [6,5,3,1,2,4,8,7]=>[3,4,6,8,7,5,1,2]=>[4,1,1,2]=>10001110=>3 [4,6,3,5,1,2,8,7]=>[5,3,6,4,8,7,1,2]=>[1,2,2,1,2]=>11010110=>5 [8,5,3,7,2,1,4,6]=>[1,4,6,2,7,8,5,3]=>[3,3,1,1]=>10010011=>4 [6,8,1,4,5,7,3,2]=>[3,1,8,5,4,2,6,7]=>[1,2,1,1,3]=>11011100=>3 [8,7,2,4,5,1,3,6]=>[1,2,7,5,4,8,6,3]=>[3,1,2,1,1]=>10011011=>4 [3,6,2,4,5,1,8,7]=>[6,3,7,5,4,8,1,2]=>[1,2,1,2,2]=>11011010=>5 [2,6,1,4,5,3,8,7]=>[7,3,8,5,4,6,1,2]=>[1,2,1,2,2]=>11011010=>5 [6,1,2,4,5,3,8,7]=>[3,8,7,5,4,6,1,2]=>[2,1,1,2,2]=>10111010=>5 [5,6,3,2,1,4,8,7]=>[4,3,6,7,8,5,1,2]=>[1,4,1,2]=>11000110=>3 [5,4,3,6,1,2,8,7]=>[4,5,6,3,8,7,1,2]=>[3,2,1,2]=>10010110=>5 [6,3,1,4,5,2,8,7]=>[3,6,8,5,4,7,1,2]=>[3,1,2,2]=>10011010=>5 [3,1,6,4,5,2,8,7]=>[6,8,3,5,4,7,1,2]=>[2,2,2,2]=>10101010=>7 [8,3,7,4,5,1,2,6]=>[1,6,2,5,4,8,7,3]=>[2,2,2,1,1]=>10101011=>6 [5,8,7,4,2,6,3,1]=>[4,1,2,5,7,3,6,8]=>[1,4,3]=>11000100=>3 [2,8,7,4,1,6,3,5]=>[7,1,2,5,8,3,6,4]=>[1,4,2,1]=>11000101=>4 [8,1,7,4,2,6,3,5]=>[1,8,2,5,7,3,6,4]=>[2,3,2,1]=>10100101=>6 [3,7,8,4,5,1,2,6]=>[6,2,1,5,4,8,7,3]=>[1,1,2,2,1,1]=>11101011=>4 [2,1,8,7,5,3,4,6]=>[7,8,1,2,4,6,5,3]=>[2,4,1,1]=>10100011=>4 [2,1,6,8,5,7,3,4]=>[7,8,3,1,4,2,6,5]=>[2,1,2,2,1]=>10110101=>6 [5,6,3,8,1,7,2,4]=>[4,3,6,1,8,2,7,5]=>[1,2,2,2,1]=>11010101=>6 [7,6,1,4,5,8,3,2]=>[2,3,8,5,4,1,6,7]=>[3,1,1,3]=>10011100=>3 [3,7,6,4,5,8,2,1]=>[6,2,3,5,4,1,7,8]=>[1,3,1,3]=>11001100=>3 [8,5,7,4,1,6,3,2]=>[1,4,2,5,8,3,6,7]=>[2,3,3]=>10100100=>5 [5,1,8,4,7,6,2,3]=>[4,8,1,5,2,3,7,6]=>[2,2,3,1]=>10101001=>6 [2,5,8,4,7,6,1,3]=>[7,4,1,5,2,3,8,6]=>[1,1,2,3,1]=>11101001=>4 [2,4,8,3,5,6,7,1]=>[7,5,1,6,4,3,2,8]=>[1,1,2,1,1,2]=>11101110=>3 [4,1,8,3,5,6,7,2]=>[5,8,1,6,4,3,2,7]=>[2,2,1,1,2]=>10101110=>5 [3,8,4,2,5,6,7,1]=>[6,1,5,7,4,3,2,8]=>[1,3,1,1,2]=>11001110=>3 [8,4,1,3,5,6,7,2]=>[1,5,8,6,4,3,2,7]=>[3,1,1,1,2]=>10011110=>3 [7,5,8,4,3,6,1,2]=>[2,4,1,5,6,3,8,7]=>[2,3,2,1]=>10100101=>6 [6,5,3,8,4,1,7,2]=>[3,4,6,1,5,8,2,7]=>[3,3,2]=>10010010=>5 [2,1,5,8,4,6,7,3]=>[7,8,4,1,5,3,2,6]=>[2,1,2,1,2]=>10110110=>5 [2,1,4,8,3,6,7,5]=>[7,8,5,1,6,3,2,4]=>[2,1,2,1,2]=>10110110=>5 [6,4,3,8,2,1,7,5]=>[3,5,6,1,7,8,2,4]=>[3,3,2]=>10010010=>5 [7,3,8,4,2,6,1,5]=>[2,6,1,5,7,3,8,4]=>[2,3,2,1]=>10100101=>6 [8,3,1,2,5,6,7,4]=>[1,6,8,7,4,3,2,5]=>[3,1,1,1,2]=>10011110=>3 [3,1,8,2,5,6,7,4]=>[6,8,1,7,4,3,2,5]=>[2,2,1,1,2]=>10101110=>5 [2,3,8,1,5,6,7,4]=>[7,6,1,8,4,3,2,5]=>[1,1,2,1,1,2]=>11101110=>3 [4,3,8,2,5,6,7,1]=>[5,6,1,7,4,3,2,8]=>[2,2,1,1,2]=>10101110=>5 [4,8,2,3,5,6,7,1]=>[5,1,7,6,4,3,2,8]=>[1,2,1,1,1,2]=>11011110=>3 [3,8,2,1,5,6,7,4]=>[6,1,7,8,4,3,2,5]=>[1,3,1,1,2]=>11001110=>3 [2,8,1,3,5,6,7,4]=>[7,1,8,6,4,3,2,5]=>[1,2,1,1,1,2]=>11011110=>3 [8,1,2,3,5,6,7,4]=>[1,8,7,6,4,3,2,5]=>[2,1,1,1,1,2]=>10111110=>3 [7,8,2,4,3,6,1,5]=>[2,1,7,5,6,3,8,4]=>[1,2,2,2,1]=>11010101=>6 [6,8,3,2,4,1,7,5]=>[3,1,6,7,5,8,2,4]=>[1,3,2,2]=>11001010=>5 [2,1,8,3,4,6,7,5]=>[7,8,1,6,5,3,2,4]=>[2,2,1,1,2]=>10101110=>5 [2,1,7,8,5,4,3,6]=>[7,8,2,1,4,5,6,3]=>[2,1,4,1]=>10110001=>4 [5,7,3,8,1,4,2,6]=>[4,2,6,1,8,5,7,3]=>[1,2,2,2,1]=>11010101=>6 [7,1,8,4,5,3,2,6]=>[2,8,1,5,4,6,7,3]=>[2,2,3,1]=>10101001=>6 [2,7,8,4,5,3,1,6]=>[7,2,1,5,4,6,8,3]=>[1,1,2,3,1]=>11101001=>4 [8,7,1,4,3,6,2,5]=>[1,2,8,5,6,3,7,4]=>[3,2,2,1]=>10010101=>6 [3,8,7,4,2,6,1,5]=>[6,1,2,5,7,3,8,4]=>[1,4,2,1]=>11000101=>4 [5,7,8,4,3,6,2,1]=>[4,2,1,5,6,3,7,8]=>[1,1,3,3]=>11100100=>3 [5,6,3,8,4,2,7,1]=>[4,3,6,1,5,7,2,8]=>[1,2,3,2]=>11010010=>5 [4,8,3,6,2,1,7,5]=>[5,1,6,3,7,8,2,4]=>[1,2,3,2]=>11010010=>5 [8,6,3,1,4,2,7,5]=>[1,3,6,8,5,7,2,4]=>[4,2,2]=>10001010=>5 [7,5,3,8,2,4,1,6]=>[2,4,6,1,7,5,8,3]=>[3,2,2,1]=>10010101=>6 [2,4,3,1,8,5,7,6]=>[7,5,6,8,1,4,2,3]=>[1,3,2,2]=>11001010=>5 [4,1,3,2,6,8,7,5]=>[5,8,6,7,3,1,2,4]=>[2,2,1,3]=>10101100=>5 [7,5,3,6,2,8,1,4]=>[2,4,6,3,7,1,8,5]=>[3,2,2,1]=>10010101=>6 [8,6,3,5,1,2,7,4]=>[1,3,6,4,8,7,2,5]=>[3,2,1,2]=>10010110=>5 [5,8,3,2,6,1,7,4]=>[4,1,6,7,3,8,2,5]=>[1,3,2,2]=>11001010=>5 [4,5,3,8,6,2,7,1]=>[5,4,6,1,3,7,2,8]=>[1,2,3,2]=>11010010=>5 [3,5,8,4,7,6,2,1]=>[6,4,1,5,2,3,7,8]=>[1,1,2,4]=>11101000=>3 [5,8,2,4,7,6,1,3]=>[4,1,7,5,2,3,8,6]=>[1,2,1,3,1]=>11011001=>4 [8,7,5,4,1,6,2,3]=>[1,2,4,5,8,3,7,6]=>[5,2,1]=>10000101=>4 [2,7,6,4,5,8,1,3]=>[7,2,3,5,4,1,8,6]=>[1,3,1,2,1]=>11001101=>4 [7,1,6,4,5,8,2,3]=>[2,8,3,5,4,1,7,6]=>[2,2,1,2,1]=>10101101=>6 [5,7,3,6,1,8,2,4]=>[4,2,6,3,8,1,7,5]=>[1,2,2,2,1]=>11010101=>6 [2,1,7,6,5,8,3,4]=>[7,8,2,3,4,1,6,5]=>[2,3,2,1]=>10100101=>6 [2,1,8,5,3,6,7,4]=>[7,8,1,4,6,3,2,5]=>[2,3,1,2]=>10100110=>5 [6,8,3,5,2,1,7,4]=>[3,1,6,4,7,8,2,5]=>[1,2,3,2]=>11010010=>5 [7,8,5,4,2,6,1,3]=>[2,1,4,5,7,3,8,6]=>[1,4,2,1]=>11000101=>4 [8,1,4,2,5,6,7,3]=>[1,8,5,7,4,3,2,6]=>[2,2,1,1,2]=>10101110=>5 [2,8,4,1,5,6,7,3]=>[7,1,5,8,4,3,2,6]=>[1,3,1,1,2]=>11001110=>3 [4,8,1,2,5,6,7,3]=>[5,1,8,7,4,3,2,6]=>[1,2,1,1,1,2]=>11011110=>3 [3,4,8,1,5,6,7,2]=>[6,5,1,8,4,3,2,7]=>[1,1,2,1,1,2]=>11101110=>3 [3,4,2,8,5,6,7,1]=>[6,5,7,1,4,3,2,8]=>[1,2,2,1,2]=>11010110=>5 [2,4,1,8,5,6,7,3]=>[7,5,8,1,4,3,2,6]=>[1,2,2,1,2]=>11010110=>5 [4,1,2,8,5,6,7,3]=>[5,8,7,1,4,3,2,6]=>[2,1,2,1,2]=>10110110=>5 [8,4,2,1,5,6,7,3]=>[1,5,7,8,4,3,2,6]=>[4,1,1,2]=>10001110=>3 [7,5,2,4,8,6,1,3]=>[2,4,7,5,1,3,8,6]=>[3,1,3,1]=>10011001=>4 [6,5,3,2,8,1,7,4]=>[3,4,6,7,1,8,2,5]=>[4,2,2]=>10001010=>5 [2,1,5,3,8,6,7,4]=>[7,8,4,6,1,3,2,5]=>[2,2,2,2]=>10101010=>7 [6,4,3,5,8,1,7,2]=>[3,5,6,4,1,8,2,7]=>[3,1,2,2]=>10011010=>5 [7,3,5,4,8,6,1,2]=>[2,6,4,5,1,3,8,7]=>[2,2,3,1]=>10101001=>6 [8,3,4,1,5,6,7,2]=>[1,6,5,8,4,3,2,7]=>[2,2,1,1,2]=>10101110=>5 [4,3,1,8,5,6,7,2]=>[5,6,8,1,4,3,2,7]=>[3,2,1,2]=>10010110=>5 [3,1,4,8,5,6,7,2]=>[6,8,5,1,4,3,2,7]=>[2,1,2,1,2]=>10110110=>5 [6,5,3,7,2,8,4,1]=>[3,4,6,2,7,1,5,8]=>[3,2,3]=>10010100=>5 [6,3,7,4,5,8,2,1]=>[3,6,2,5,4,1,7,8]=>[2,2,1,3]=>10101100=>5 [6,7,2,4,5,8,3,1]=>[3,2,7,5,4,1,6,8]=>[1,2,1,1,3]=>11011100=>3 [5,1,7,4,8,6,3,2]=>[4,8,2,5,1,3,6,7]=>[2,2,4]=>10101000=>5 [2,5,7,4,8,6,3,1]=>[7,4,2,5,1,3,6,8]=>[1,1,2,4]=>11101000=>3 [5,6,3,7,1,8,4,2]=>[4,3,6,2,8,1,5,7]=>[1,2,2,3]=>11010100=>5 [3,8,7,4,5,2,1,6]=>[6,1,2,5,4,7,8,3]=>[1,3,3,1]=>11001001=>4 [3,7,5,4,8,6,2,1]=>[6,2,4,5,1,3,7,8]=>[1,3,4]=>11001000=>3 [5,7,1,4,8,6,2,3]=>[4,2,8,5,1,3,7,6]=>[1,2,1,3,1]=>11011001=>4 [5,6,3,1,8,2,7,4]=>[4,3,6,8,1,7,2,5]=>[1,3,2,2]=>11001010=>5 [4,6,3,5,8,2,7,1]=>[5,3,6,4,1,7,2,8]=>[1,2,1,2,2]=>11011010=>5 [4,6,3,8,1,2,7,5]=>[5,3,6,1,8,7,2,4]=>[1,2,2,1,2]=>11010110=>5 [3,7,8,4,1,6,2,5]=>[6,2,1,5,8,3,7,4]=>[1,1,3,2,1]=>11100101=>4 [3,2,5,1,6,8,4,7]=>[6,7,4,8,3,1,5,2]=>[2,2,1,2,1]=>10101101=>6 [3,6,2,5,4,8,1,7]=>[6,3,7,4,5,1,8,2]=>[1,2,2,2,1]=>11010101=>6 [3,5,2,4,7,1,8,6]=>[6,4,7,5,2,8,1,3]=>[1,2,1,2,2]=>11011010=>5 [3,5,8,2,4,7,6,1]=>[6,4,1,7,5,2,3,8]=>[1,1,2,1,3]=>11101100=>3 [4,2,5,8,3,7,6,1]=>[5,7,4,1,6,2,3,8]=>[2,1,2,3]=>10110100=>5 [4,2,6,5,3,8,1,7]=>[5,7,3,4,6,1,8,2]=>[2,3,2,1]=>10100101=>6 [5,4,2,1,6,8,3,7]=>[4,5,7,8,3,1,6,2]=>[4,1,2,1]=>10001101=>4 [6,3,5,1,4,8,2,7]=>[3,6,4,8,5,1,7,2]=>[2,2,1,2,1]=>10101101=>6 [4,6,1,5,3,8,2,7]=>[5,3,8,4,6,1,7,2]=>[1,2,2,2,1]=>11010101=>6 [5,1,6,4,3,8,2,7]=>[4,8,3,5,6,1,7,2]=>[2,3,2,1]=>10100101=>6 [5,4,3,2,7,1,8,6]=>[4,5,6,7,2,8,1,3]=>[4,2,2]=>10001010=>5 [5,4,3,8,2,7,6,1]=>[4,5,6,1,7,2,3,8]=>[3,2,3]=>10010100=>5 [4,3,6,2,8,7,5,1]=>[5,6,3,7,1,2,4,8]=>[2,2,4]=>10101000=>5 [4,3,7,6,2,1,8,5]=>[5,6,2,3,7,8,1,4]=>[2,4,2]=>10100010=>5 [6,4,3,1,7,2,8,5]=>[3,5,6,8,2,7,1,4]=>[4,2,2]=>10001010=>5 [7,5,4,3,1,8,2,6]=>[2,4,5,6,8,1,7,3]=>[5,2,1]=>10000101=>4 [1,4,7,5,8,3,2,6]=>[8,5,2,4,1,6,7,3]=>[1,1,2,3,1]=>11101001=>4 [7,2,5,8,4,1,3,6]=>[2,7,4,1,5,8,6,3]=>[2,1,3,1,1]=>10110011=>4 [2,8,5,7,4,6,1,3]=>[7,1,4,2,5,3,8,6]=>[1,2,2,2,1]=>11010101=>6 [3,5,8,7,1,4,6,2]=>[6,4,1,2,8,5,3,7]=>[1,1,3,1,2]=>11100110=>3 [1,4,5,8,7,3,6,2]=>[8,5,4,1,2,6,3,7]=>[1,1,1,3,2]=>11110010=>3 [1,5,4,8,7,3,6,2]=>[8,4,5,1,2,6,3,7]=>[1,2,3,2]=>11010010=>5 [6,4,3,8,1,7,5,2]=>[3,5,6,1,8,2,4,7]=>[3,2,3]=>10010100=>5 [4,3,7,1,8,6,5,2]=>[5,6,2,8,1,3,4,7]=>[2,2,4]=>10101000=>5 [4,8,3,7,6,5,2,1]=>[5,1,6,2,3,4,7,8]=>[1,2,5]=>11010000=>3 [5,3,8,7,6,4,2,1]=>[4,6,1,2,3,5,7,8]=>[2,6]=>10100000=>3 [7,5,3,1,8,6,4,2]=>[2,4,6,8,1,3,5,7]=>[4,4]=>10001000=>3 [1,8,6,5,3,7,4,2]=>[8,1,3,4,6,2,5,7]=>[1,4,3]=>11000100=>3 [1,5,8,6,3,7,4,2]=>[8,4,1,3,6,2,5,7]=>[1,1,3,3]=>11100100=>3 [4,6,1,8,7,3,5,2]=>[5,3,8,1,2,6,4,7]=>[1,2,3,2]=>11010010=>5 [6,8,7,3,1,4,5,2]=>[3,1,2,6,8,5,4,7]=>[1,4,1,2]=>11000110=>3 [6,2,8,7,4,5,1,3]=>[3,7,1,2,5,4,8,6]=>[2,3,2,1]=>10100101=>6 [7,6,2,8,4,1,3,5]=>[2,3,7,1,5,8,6,4]=>[3,3,1,1]=>10010011=>4 [7,3,1,6,8,4,2,5]=>[2,6,8,3,1,5,7,4]=>[3,1,3,1]=>10011001=>4 [1,7,6,4,8,3,2,5]=>[8,2,3,5,1,6,7,4]=>[1,3,3,1]=>11001001=>4 [5,7,1,6,3,2,8,4]=>[4,2,8,3,6,7,1,5]=>[1,2,3,2]=>11010010=>5 [6,1,7,5,3,2,8,4]=>[3,8,2,4,6,7,1,5]=>[2,4,2]=>10100010=>5 [7,6,5,3,2,1,8,4]=>[2,3,4,6,7,8,1,5]=>[6,2]=>10000010=>3 [6,5,3,2,8,7,4,1]=>[3,4,6,7,1,2,5,8]=>[4,4]=>10001000=>3 [5,2,6,3,8,7,4,1]=>[4,7,3,6,1,2,5,8]=>[2,2,4]=>10101000=>5 [5,2,7,6,3,1,8,4]=>[4,7,2,3,6,8,1,5]=>[2,4,2]=>10100010=>5 [6,5,2,1,7,3,8,4]=>[3,4,7,8,2,6,1,5]=>[4,2,2]=>10001010=>5 [5,2,7,4,1,8,3,6]=>[4,7,2,5,8,1,6,3]=>[2,3,2,1]=>10100101=>6 [4,7,2,6,3,1,8,5]=>[5,2,7,3,6,8,1,4]=>[1,2,3,2]=>11010010=>5 [2,4,8,6,3,7,5,1]=>[7,5,1,3,6,2,4,8]=>[1,1,3,3]=>11100100=>3 [3,8,6,2,4,7,5,1]=>[6,1,3,7,5,2,4,8]=>[1,3,1,3]=>11001100=>3 [7,3,6,2,4,1,8,5]=>[2,6,3,7,5,8,1,4]=>[2,2,2,2]=>10101010=>7 [3,6,7,2,1,4,8,5]=>[6,3,2,7,8,5,1,4]=>[1,1,3,1,2]=>11100110=>3 [4,3,7,8,2,1,5,6]=>[5,6,2,1,7,8,4,3]=>[2,1,3,1,1]=>10110011=>4 [8,3,7,1,4,6,2,5]=>[1,6,2,8,5,3,7,4]=>[2,2,1,2,1]=>10101101=>6 [3,8,2,5,7,1,6,4]=>[6,1,7,4,2,8,3,5]=>[1,2,1,2,2]=>11011010=>5 [7,8,3,6,2,1,5,4]=>[2,1,6,3,7,8,4,5]=>[1,2,3,2]=>11010010=>5 [8,7,3,6,2,5,4,1]=>[1,2,6,3,7,4,5,8]=>[3,2,3]=>10010100=>5 [4,7,8,2,1,6,5,3]=>[5,2,1,7,8,3,4,6]=>[1,1,3,3]=>11100100=>3 [4,2,6,8,1,7,5,3]=>[5,7,3,1,8,2,4,6]=>[2,1,2,3]=>10110100=>5 [5,4,8,2,7,1,6,3]=>[4,5,1,7,2,8,3,6]=>[2,2,2,2]=>10101010=>7 [4,8,1,5,7,2,6,3]=>[5,1,8,4,2,7,3,6]=>[1,2,1,2,2]=>11011010=>5 [5,8,3,7,1,6,2,4]=>[4,1,6,2,8,3,7,5]=>[1,2,2,2,1]=>11010101=>6 [5,8,7,2,6,1,3,4]=>[4,1,2,7,3,8,6,5]=>[1,3,2,1,1]=>11001011=>4 [8,6,2,7,5,1,3,4]=>[1,3,7,2,4,8,6,5]=>[3,3,1,1]=>10010011=>4 [3,6,8,1,7,5,2,4]=>[6,3,1,8,2,4,7,5]=>[1,1,2,3,1]=>11101001=>4 [5,1,6,8,2,7,4,3]=>[4,8,3,1,7,2,5,6]=>[2,1,2,3]=>10110100=>5 [6,5,2,8,1,7,4,3]=>[3,4,7,1,8,2,5,6]=>[3,2,3]=>10010100=>5 [5,2,7,1,8,6,4,3]=>[4,7,2,8,1,3,5,6]=>[2,2,4]=>10101000=>5 [5,8,2,7,6,4,3,1]=>[4,1,7,2,3,5,6,8]=>[1,2,5]=>11010000=>3 [6,2,8,7,5,4,3,1]=>[3,7,1,2,4,5,6,8]=>[2,6]=>10100000=>3 [7,6,2,1,8,5,4,3]=>[2,3,7,8,1,4,5,6]=>[4,4]=>10001000=>3 [6,1,7,2,8,5,4,3]=>[3,8,2,7,1,4,5,6]=>[2,2,4]=>10101000=>5 [7,5,1,8,2,6,4,3]=>[2,4,8,1,7,3,5,6]=>[3,2,3]=>10010100=>5 [4,7,1,8,6,2,5,3]=>[5,2,8,1,3,7,4,6]=>[1,2,3,2]=>11010010=>5 [7,8,3,1,6,5,2,4]=>[2,1,6,8,3,4,7,5]=>[1,3,3,1]=>11001001=>4 [8,7,4,6,1,5,3,2]=>[1,2,5,3,8,4,6,7]=>[3,2,3]=>10010100=>5 [8,5,7,1,6,4,3,2]=>[1,4,2,8,3,5,6,7]=>[2,2,4]=>10101000=>5 [6,8,1,7,5,4,3,2]=>[3,1,8,2,4,5,6,7]=>[1,2,5]=>11010000=>3 [7,1,8,6,5,4,3,2]=>[2,8,1,3,4,5,6,7]=>[2,6]=>10100000=>3 [5,4,2,3,7,6,1,8]=>[4,5,7,6,2,3,8,1]=>[3,1,3,1]=>10011001=>4 [6,4,2,7,3,5,1,8]=>[3,5,7,2,6,4,8,1]=>[3,2,2,1]=>10010101=>6 [7,4,2,6,3,5,1,8]=>[2,5,7,3,6,4,8,1]=>[3,2,2,1]=>10010101=>6 [8,4,2,6,3,1,5,7]=>[1,5,7,3,6,8,4,2]=>[3,3,1,1]=>10010011=>4 [3,2,7,6,4,5,1,8]=>[6,7,2,3,5,4,8,1]=>[2,3,2,1]=>10100101=>6 [4,7,2,6,3,5,1,8]=>[5,2,7,3,6,4,8,1]=>[1,2,2,2,1]=>11010101=>6 [5,7,6,2,3,4,1,8]=>[4,2,3,7,6,5,8,1]=>[1,3,1,2,1]=>11001101=>4 [1,6,5,2,3,8,4,7]=>[8,3,4,7,6,1,5,2]=>[1,3,1,2,1]=>11001101=>4 [1,7,5,2,8,3,4,6]=>[8,2,4,7,1,6,5,3]=>[1,3,2,1,1]=>11001011=>4 [6,8,5,2,3,1,4,7]=>[3,1,4,7,6,8,5,2]=>[1,3,2,1,1]=>11001011=>4 [5,8,6,2,3,1,4,7]=>[4,1,3,7,6,8,5,2]=>[1,3,2,1,1]=>11001011=>4 [4,8,2,6,3,1,5,7]=>[5,1,7,3,6,8,4,2]=>[1,2,3,1,1]=>11010011=>4 [3,2,8,6,4,1,5,7]=>[6,7,1,3,5,8,4,2]=>[2,4,1,1]=>10100011=>4 [3,2,1,6,4,8,5,7]=>[6,7,8,3,5,1,4,2]=>[3,2,2,1]=>10010101=>6 [7,1,5,2,8,3,4,6]=>[2,8,4,7,1,6,5,3]=>[2,2,2,1,1]=>10101011=>6 [1,8,5,2,7,3,4,6]=>[8,1,4,7,2,6,5,3]=>[1,3,2,1,1]=>11001011=>4 [1,8,6,7,2,3,4,5]=>[8,1,3,2,7,6,5,4]=>[1,2,2,1,1,1]=>11010111=>4 [8,1,6,7,2,3,4,5]=>[1,8,3,2,7,6,5,4]=>[2,1,2,1,1,1]=>10110111=>4 [7,1,6,8,2,3,4,5]=>[2,8,3,1,7,6,5,4]=>[2,1,2,1,1,1]=>10110111=>4 [3,2,1,7,8,4,5,6]=>[6,7,8,2,1,5,4,3]=>[3,1,2,1,1]=>10011011=>4 [3,2,8,7,1,4,5,6]=>[6,7,1,2,8,5,4,3]=>[2,3,1,1,1]=>10100111=>4 [5,8,7,2,1,3,4,6]=>[4,1,2,7,8,6,5,3]=>[1,4,1,1,1]=>11000111=>2 [1,7,6,8,2,3,4,5]=>[8,2,3,1,7,6,5,4]=>[1,2,2,1,1,1]=>11010111=>4 [6,5,8,2,3,1,4,7]=>[3,4,1,7,6,8,5,2]=>[2,2,2,1,1]=>10101011=>6 [8,5,7,2,1,3,4,6]=>[1,4,2,7,8,6,5,3]=>[2,3,1,1,1]=>10100111=>4 [6,4,2,8,3,1,5,7]=>[3,5,7,1,6,8,4,2]=>[3,3,1,1]=>10010011=>4 [5,4,2,3,8,1,6,7]=>[4,5,7,6,1,8,3,2]=>[3,1,2,1,1]=>10011011=>4 [3,2,5,4,1,8,6,7]=>[6,7,4,5,8,1,3,2]=>[2,3,2,1]=>10100101=>6 [4,5,2,3,1,8,6,7]=>[5,4,7,6,8,1,3,2]=>[1,2,2,2,1]=>11010101=>6 [5,4,2,3,1,8,6,7]=>[4,5,7,6,8,1,3,2]=>[3,2,2,1]=>10010101=>6 [6,4,2,1,3,8,5,7]=>[3,5,7,8,6,1,4,2]=>[4,1,2,1]=>10001101=>4 [7,4,2,1,8,3,5,6]=>[2,5,7,8,1,6,4,3]=>[4,2,1,1]=>10001011=>4 [8,4,2,1,7,3,5,6]=>[1,5,7,8,2,6,4,3]=>[4,2,1,1]=>10001011=>4 [1,4,2,8,7,3,5,6]=>[8,5,7,1,2,6,4,3]=>[1,2,3,1,1]=>11010011=>4 [1,5,8,2,7,3,4,6]=>[8,4,1,7,2,6,5,3]=>[1,1,2,2,1,1]=>11101011=>4 [8,5,1,2,7,3,4,6]=>[1,4,8,7,2,6,5,3]=>[3,1,2,1,1]=>10011011=>4 [7,5,1,2,8,3,4,6]=>[2,4,8,7,1,6,5,3]=>[3,1,2,1,1]=>10011011=>4 [6,5,1,2,3,8,4,7]=>[3,4,8,7,6,1,5,2]=>[3,1,1,2,1]=>10011101=>4 [4,6,2,1,3,8,5,7]=>[5,3,7,8,6,1,4,2]=>[1,3,1,2,1]=>11001101=>4 [3,2,6,1,4,8,5,7]=>[6,7,3,8,5,1,4,2]=>[2,2,1,2,1]=>10101101=>6 [3,2,7,1,8,4,5,6]=>[6,7,2,8,1,5,4,3]=>[2,2,2,1,1]=>10101011=>6 [4,7,2,1,8,3,5,6]=>[5,2,7,8,1,6,4,3]=>[1,3,2,1,1]=>11001011=>4 [7,6,1,8,2,3,4,5]=>[2,3,8,1,7,6,5,4]=>[3,2,1,1,1]=>10010111=>4 [8,6,1,7,2,3,4,5]=>[1,3,8,2,7,6,5,4]=>[3,2,1,1,1]=>10010111=>4 [1,6,8,7,2,3,4,5]=>[8,3,1,2,7,6,5,4]=>[1,1,3,1,1,1]=>11100111=>2 [1,7,8,6,2,3,4,5]=>[8,2,1,3,7,6,5,4]=>[1,1,3,1,1,1]=>11100111=>2 [7,8,1,6,2,3,4,5]=>[2,1,8,3,7,6,5,4]=>[1,2,2,1,1,1]=>11010111=>4 [6,8,1,7,2,3,4,5]=>[3,1,8,2,7,6,5,4]=>[1,2,2,1,1,1]=>11010111=>4 [4,8,2,1,7,3,5,6]=>[5,1,7,8,2,6,4,3]=>[1,3,2,1,1]=>11001011=>4 [3,2,8,1,7,4,5,6]=>[6,7,1,8,2,5,4,3]=>[2,2,2,1,1]=>10101011=>6 [3,2,1,8,7,4,5,6]=>[6,7,8,1,2,5,4,3]=>[3,3,1,1]=>10010011=>4 [5,1,8,2,7,3,4,6]=>[4,8,1,7,2,6,5,3]=>[2,2,2,1,1]=>10101011=>6 [6,1,8,7,2,3,4,5]=>[3,8,1,2,7,6,5,4]=>[2,3,1,1,1]=>10100111=>4 [8,1,7,6,2,3,4,5]=>[1,8,2,3,7,6,5,4]=>[2,3,1,1,1]=>10100111=>4 [1,8,7,6,2,3,4,5]=>[8,1,2,3,7,6,5,4]=>[1,4,1,1,1]=>11000111=>2 [6,3,5,1,2,4,8,7]=>[3,6,4,8,7,5,1,2]=>[2,2,1,1,2]=>10101110=>5 [4,3,5,6,1,2,8,7]=>[5,6,4,3,8,7,1,2]=>[2,1,2,1,2]=>10110110=>5 [8,3,7,5,2,1,4,6]=>[1,6,2,4,7,8,5,3]=>[2,4,1,1]=>10100011=>4 [6,3,7,5,1,8,4,2]=>[3,6,2,4,8,1,5,7]=>[2,3,3]=>10100100=>5 [6,5,2,7,1,8,3,4]=>[3,4,7,2,8,1,6,5]=>[3,2,2,1]=>10010101=>6 [8,5,2,7,4,1,3,6]=>[1,4,7,2,5,8,6,3]=>[3,3,1,1]=>10010011=>4 [2,6,1,5,4,3,8,7]=>[7,3,8,4,5,6,1,2]=>[1,2,3,2]=>11010010=>5 [6,4,3,5,1,2,8,7]=>[3,5,6,4,8,7,1,2]=>[3,2,1,2]=>10010110=>5 [5,3,1,4,6,2,8,7]=>[4,6,8,5,3,7,1,2]=>[3,1,2,2]=>10011010=>5 [3,1,4,6,5,2,8,7]=>[6,8,5,3,4,7,1,2]=>[2,1,3,2]=>10110010=>5 [5,7,4,6,2,8,3,1]=>[4,2,5,3,7,1,6,8]=>[1,2,2,3]=>11010100=>5 [8,1,4,7,2,6,3,5]=>[1,8,5,2,7,3,6,4]=>[2,1,2,2,1]=>10110101=>6 [3,4,7,8,5,2,1,6]=>[6,5,2,1,4,7,8,3]=>[1,1,1,4,1]=>11110001=>2 [2,1,8,5,7,3,4,6]=>[7,8,1,4,2,6,5,3]=>[2,2,2,1,1]=>10101011=>6 [8,6,3,5,1,7,4,2]=>[1,3,6,4,8,2,5,7]=>[3,2,3]=>10010100=>5 [5,8,2,4,6,7,3,1]=>[4,1,7,5,3,2,6,8]=>[1,2,1,1,3]=>11011100=>3 [3,4,8,6,5,7,1,2]=>[6,5,1,3,4,2,8,7]=>[1,1,3,2,1]=>11100101=>4 [7,5,4,8,1,6,3,2]=>[2,4,5,1,8,3,6,7]=>[3,2,3]=>10010100=>5 [5,1,4,6,8,2,7,3]=>[4,8,5,3,1,7,2,6]=>[2,1,1,2,2]=>10111010=>5 [2,5,4,6,7,1,8,3]=>[7,4,5,3,2,8,1,6]=>[1,2,1,2,2]=>11011010=>5 [2,4,6,3,7,5,8,1]=>[7,5,3,6,2,4,1,8]=>[1,1,2,2,2]=>11101010=>5 [4,1,6,3,8,5,7,2]=>[5,8,3,6,1,4,2,7]=>[2,2,2,2]=>10101010=>7 [3,7,4,2,8,6,5,1]=>[6,2,5,7,1,3,4,8]=>[1,3,4]=>11001000=>3 [7,4,1,3,5,8,6,2]=>[2,5,8,6,4,1,3,7]=>[3,1,1,3]=>10011100=>3 [6,5,8,4,1,7,3,2]=>[3,4,1,5,8,2,6,7]=>[2,3,3]=>10100100=>5 [8,5,3,7,4,1,6,2]=>[1,4,6,2,5,8,3,7]=>[3,3,2]=>10010010=>5 [2,1,4,8,3,7,6,5]=>[7,8,5,1,6,2,3,4]=>[2,1,2,3]=>10110100=>5 [7,4,3,8,2,1,6,5]=>[2,5,6,1,7,8,3,4]=>[3,3,2]=>10010010=>5 [6,3,7,4,1,8,2,5]=>[3,6,2,5,8,1,7,4]=>[2,3,2,1]=>10100101=>6 [8,3,1,2,5,7,6,4]=>[1,6,8,7,4,2,3,5]=>[3,1,1,3]=>10011100=>3 [3,1,8,2,7,6,5,4]=>[6,8,1,7,2,3,4,5]=>[2,2,4]=>10101000=>5 [2,3,8,1,6,7,5,4]=>[7,6,1,8,3,2,4,5]=>[1,1,2,1,3]=>11101100=>3 [4,3,7,2,6,8,5,1]=>[5,6,2,7,3,1,4,8]=>[2,2,1,3]=>10101100=>5 [4,7,2,3,8,5,6,1]=>[5,2,7,6,1,4,3,8]=>[1,2,1,2,2]=>11011010=>5 [3,8,2,1,7,5,6,4]=>[6,1,7,8,2,4,3,5]=>[1,3,2,2]=>11001010=>5 [2,8,1,3,6,5,7,4]=>[7,1,8,6,3,4,2,5]=>[1,2,1,2,2]=>11011010=>5 [2,7,8,5,4,3,1,6]=>[7,2,1,4,5,6,8,3]=>[1,1,5,1]=>11100001=>2 [8,7,1,6,3,4,2,5]=>[1,2,8,3,6,5,7,4]=>[3,2,2,1]=>10010101=>6 [3,8,6,7,2,4,1,5]=>[6,1,3,2,7,5,8,4]=>[1,2,2,2,1]=>11010101=>6 [5,3,8,7,4,2,6,1]=>[4,6,1,2,5,7,3,8]=>[2,4,2]=>10100010=>5 [4,3,8,7,2,1,6,5]=>[5,6,1,2,7,8,3,4]=>[2,4,2]=>10100010=>5 [8,3,6,1,4,2,7,5]=>[1,6,3,8,5,7,2,4]=>[2,2,2,2]=>10101010=>7 [7,3,5,8,2,4,1,6]=>[2,6,4,1,7,5,8,3]=>[2,1,2,2,1]=>10110101=>6 [2,3,4,1,8,5,7,6]=>[7,6,5,8,1,4,2,3]=>[1,1,2,2,2]=>11101010=>5 [4,1,3,2,6,7,8,5]=>[5,8,6,7,3,2,1,4]=>[2,2,1,1,2]=>10101110=>5 [8,3,5,6,2,7,1,4]=>[1,6,4,3,7,2,8,5]=>[2,1,2,2,1]=>10110101=>6 [5,3,6,1,8,7,2,4]=>[4,6,3,8,1,2,7,5]=>[2,2,3,1]=>10101001=>6 [5,6,2,8,7,4,1,3]=>[4,3,7,1,2,5,8,6]=>[1,2,4,1]=>11010001=>4 [7,8,5,6,1,4,2,3]=>[2,1,4,3,8,5,7,6]=>[1,2,2,2,1]=>11010101=>6 [2,8,6,5,4,7,1,3]=>[7,1,3,4,5,2,8,6]=>[1,4,2,1]=>11000101=>4 [8,1,6,4,5,7,2,3]=>[1,8,3,5,4,2,7,6]=>[2,2,1,2,1]=>10101101=>6 [5,8,3,6,1,7,2,4]=>[4,1,6,3,8,2,7,5]=>[1,2,2,2,1]=>11010101=>6 [2,1,8,6,5,7,3,4]=>[7,8,1,3,4,2,6,5]=>[2,3,2,1]=>10100101=>6 [2,1,7,5,3,6,8,4]=>[7,8,2,4,6,3,1,5]=>[2,3,1,2]=>10100110=>5 [6,7,3,5,2,1,8,4]=>[3,2,6,4,7,8,1,5]=>[1,2,3,2]=>11010010=>5 [7,1,4,2,5,6,8,3]=>[2,8,5,7,4,3,1,6]=>[2,2,1,1,2]=>10101110=>5 [2,7,4,1,6,5,8,3]=>[7,2,5,8,3,4,1,6]=>[1,3,2,2]=>11001010=>5 [4,6,1,2,8,7,3,5]=>[5,3,8,7,1,2,6,4]=>[1,2,1,3,1]=>11011001=>4 [2,4,1,5,8,7,6,3]=>[7,5,8,4,1,2,3,6]=>[1,2,1,4]=>11011000=>3 [4,1,2,5,8,6,7,3]=>[5,8,7,4,1,3,2,6]=>[2,1,1,2,2]=>10111010=>5 [6,4,2,1,5,8,7,3]=>[3,5,7,8,4,1,2,6]=>[4,1,3]=>10001100=>3 [8,5,2,4,6,1,7,3]=>[1,4,7,5,3,8,2,6]=>[3,1,2,2]=>10011010=>5 [7,5,3,2,6,8,1,4]=>[2,4,6,7,3,1,8,5]=>[4,1,2,1]=>10001101=>4 [2,1,5,3,6,8,7,4]=>[7,8,4,6,3,1,2,5]=>[2,2,1,3]=>10101100=>5 [7,3,5,4,6,1,8,2]=>[2,6,4,5,3,8,1,7]=>[2,2,2,2]=>10101010=>7 [6,3,4,1,5,7,8,2]=>[3,6,5,8,4,2,1,7]=>[2,2,1,1,2]=>10101110=>5 [4,3,1,5,7,6,8,2]=>[5,6,8,4,2,3,1,7]=>[3,1,2,2]=>10011010=>5 [3,1,4,5,6,8,7,2]=>[6,8,5,4,3,1,2,7]=>[2,1,1,1,3]=>10111100=>3 [4,5,2,6,3,1,8,7]=>[5,4,7,3,6,8,1,2]=>[1,2,3,2]=>11010010=>5 [6,5,2,1,4,3,8,7]=>[3,4,7,8,5,6,1,2]=>[4,2,2]=>10001010=>5 [6,5,2,7,4,8,3,1]=>[3,4,7,2,5,1,6,8]=>[3,2,3]=>10010100=>5 [8,5,2,7,4,1,6,3]=>[1,4,7,2,5,8,3,6]=>[3,3,2]=>10010010=>5 [8,3,7,5,2,1,6,4]=>[1,6,2,4,7,8,3,5]=>[2,4,2]=>10100010=>5 [6,3,7,5,2,8,4,1]=>[3,6,2,4,7,1,5,8]=>[2,3,3]=>10100100=>5 [3,1,6,5,4,2,8,7]=>[6,8,3,4,5,7,1,2]=>[2,4,2]=>10100010=>5 [5,6,3,2,4,1,8,7]=>[4,3,6,7,5,8,1,2]=>[1,3,2,2]=>11001010=>5 [3,6,2,4,1,5,8,7]=>[6,3,7,5,8,4,1,2]=>[1,2,2,1,2]=>11010110=>5 [2,6,1,3,5,4,8,7]=>[7,3,8,6,4,5,1,2]=>[1,2,1,2,2]=>11011010=>5 [6,7,2,3,4,8,5,1]=>[3,2,7,6,5,1,4,8]=>[1,2,1,1,3]=>11011100=>3 [8,7,2,3,4,1,6,5]=>[1,2,7,6,5,8,3,4]=>[3,1,2,2]=>10011010=>5 [5,1,7,3,8,4,6,2]=>[4,8,2,6,1,5,3,7]=>[2,2,2,2]=>10101010=>7 [2,5,7,3,8,6,4,1]=>[7,4,2,6,1,3,5,8]=>[1,1,2,4]=>11101000=>3 [7,6,1,3,5,8,4,2]=>[2,3,8,6,4,1,5,7]=>[3,1,1,3]=>10011100=>3 [3,6,7,4,1,8,5,2]=>[6,3,2,5,8,1,4,7]=>[1,1,3,3]=>11100100=>3 [5,6,3,7,4,8,1,2]=>[4,3,6,2,5,1,8,7]=>[1,2,2,2,1]=>11010101=>6 [2,1,6,7,4,8,5,3]=>[7,8,3,2,5,1,4,6]=>[2,1,2,3]=>10110100=>5 [2,1,8,7,4,3,6,5]=>[7,8,1,2,5,6,3,4]=>[2,4,2]=>10100010=>5 [5,8,3,7,4,2,6,1]=>[4,1,6,2,5,7,3,8]=>[1,2,3,2]=>11010010=>5 [3,8,7,4,1,2,6,5]=>[6,1,2,5,8,7,3,4]=>[1,4,1,2]=>11000110=>3 [7,8,1,3,5,2,6,4]=>[2,1,8,6,4,7,3,5]=>[1,2,1,2,2]=>11011010=>5 [5,8,7,3,2,6,1,4]=>[4,1,2,6,7,3,8,5]=>[1,4,2,1]=>11000101=>4 [2,8,6,3,1,5,7,4]=>[7,1,3,6,8,4,2,5]=>[1,4,1,2]=>11000110=>3 [8,1,6,3,2,5,4,7]=>[1,8,3,6,7,4,5,2]=>[2,3,2,1]=>10100101=>6 [2,8,4,1,6,3,7,5]=>[7,1,5,8,3,6,2,4]=>[1,3,2,2]=>11001010=>5 [4,8,1,2,7,6,3,5]=>[5,1,8,7,2,3,6,4]=>[1,2,1,3,1]=>11011001=>4 [3,8,4,2,5,7,1,6]=>[6,1,5,7,4,2,8,3]=>[1,3,1,2,1]=>11001101=>4 [6,8,3,5,2,7,4,1]=>[3,1,6,4,7,2,5,8]=>[1,2,2,3]=>11010100=>5 [2,1,5,3,8,7,6,4]=>[7,8,4,6,1,2,3,5]=>[2,2,4]=>10101000=>5 [6,5,3,2,8,7,1,4]=>[3,4,6,7,1,2,8,5]=>[4,3,1]=>10001001=>4 [7,5,2,4,8,1,6,3]=>[2,4,7,5,1,8,3,6]=>[3,1,2,2]=>10011010=>5 [3,4,2,8,5,7,6,1]=>[6,5,7,1,4,2,3,8]=>[1,2,2,3]=>11010100=>5 [2,4,1,8,7,6,5,3]=>[7,5,8,1,2,3,4,6]=>[1,2,5]=>11010000=>3 [8,4,2,1,7,5,3,6]=>[1,5,7,8,2,4,6,3]=>[4,3,1]=>10001001=>4 [4,3,1,8,6,7,5,2]=>[5,6,8,1,3,2,4,7]=>[3,2,3]=>10010100=>5 [3,1,4,8,6,5,7,2]=>[6,8,5,1,3,4,2,7]=>[2,1,3,2]=>10110010=>5 [7,1,6,5,4,8,2,3]=>[2,8,3,4,5,1,7,6]=>[2,3,2,1]=>10100101=>6 [3,7,5,6,8,4,2,1]=>[6,2,4,3,1,5,7,8]=>[1,2,1,4]=>11011000=>3 [5,7,1,6,8,2,4,3]=>[4,2,8,3,1,7,5,6]=>[1,2,1,2,2]=>11011010=>5 [8,6,2,5,1,7,4,3]=>[1,3,7,4,8,2,5,6]=>[3,2,3]=>10010100=>5 [5,6,2,1,8,7,3,4]=>[4,3,7,8,1,2,6,5]=>[1,3,3,1]=>11001001=>4 [4,6,2,5,8,3,7,1]=>[5,3,7,4,1,6,2,8]=>[1,2,1,2,2]=>11011010=>5 [7,5,2,6,3,8,1,4]=>[2,4,7,3,6,1,8,5]=>[3,2,2,1]=>10010101=>6 [4,1,2,3,6,8,7,5]=>[5,8,7,6,3,1,2,4]=>[2,1,1,1,3]=>10111100=>3 [2,4,3,1,8,5,6,7]=>[7,5,6,8,1,4,3,2]=>[1,3,2,1,1]=>11001011=>4 [7,5,2,8,3,4,6,1]=>[2,4,7,1,6,5,3,8]=>[3,2,1,2]=>10010110=>5 [5,6,2,8,4,3,1,7]=>[4,3,7,1,5,6,8,2]=>[1,2,4,1]=>11010001=>4 [4,7,2,8,1,5,3,6]=>[5,2,7,1,8,4,6,3]=>[1,2,2,2,1]=>11010101=>6 [8,7,2,1,4,5,6,3]=>[1,2,7,8,5,4,3,6]=>[4,1,1,2]=>10001110=>3 [3,6,8,7,1,5,4,2]=>[6,3,1,2,8,4,5,7]=>[1,1,3,3]=>11100100=>3 [5,7,8,6,3,4,1,2]=>[4,2,1,3,6,5,8,7]=>[1,1,3,2,1]=>11100101=>4 [7,1,8,5,4,3,6,2]=>[2,8,1,4,5,6,3,7]=>[2,4,2]=>10100010=>5 [2,7,8,4,5,3,6,1]=>[7,2,1,5,4,6,3,8]=>[1,1,2,2,2]=>11101010=>5 [5,7,3,8,1,4,6,2]=>[4,2,6,1,8,5,3,7]=>[1,2,2,1,2]=>11010110=>5 [2,1,7,8,5,4,6,3]=>[7,8,2,1,4,5,3,6]=>[2,1,3,2]=>10110010=>5 [2,1,5,8,4,6,3,7]=>[7,8,4,1,5,3,6,2]=>[2,1,2,2,1]=>10110101=>6 [6,5,3,8,4,1,2,7]=>[3,4,6,1,5,8,7,2]=>[3,3,1,1]=>10010011=>4 [7,5,8,4,3,6,2,1]=>[2,4,1,5,6,3,7,8]=>[2,3,3]=>10100100=>5 [2,4,8,3,5,6,1,7]=>[7,5,1,6,4,3,8,2]=>[1,1,2,1,2,1]=>11101101=>4 [4,1,8,3,6,5,2,7]=>[5,8,1,6,3,4,7,2]=>[2,2,3,1]=>10101001=>6 [3,4,8,1,7,2,5,6]=>[6,5,1,8,2,7,4,3]=>[1,1,2,2,1,1]=>11101011=>4 [8,4,1,3,7,2,6,5]=>[1,5,8,6,2,7,3,4]=>[3,1,2,2]=>10011010=>5 [3,1,8,2,4,7,6,5]=>[6,8,1,7,5,2,3,4]=>[2,2,1,3]=>10101100=>5 [2,3,8,1,4,6,7,5]=>[7,6,1,8,5,3,2,4]=>[1,1,2,1,1,2]=>11101110=>3 [4,3,8,2,5,1,7,6]=>[5,6,1,7,4,8,2,3]=>[2,2,2,2]=>10101010=>7 [6,3,8,4,2,5,7,1]=>[3,6,1,5,7,4,2,8]=>[2,3,1,2]=>10100110=>5 [7,4,3,8,2,5,1,6]=>[2,5,6,1,7,4,8,3]=>[3,2,2,1]=>10010101=>6 [2,1,4,8,3,5,7,6]=>[7,8,5,1,6,4,2,3]=>[2,1,2,1,2]=>10110110=>5 [6,8,2,4,3,5,1,7]=>[3,1,7,5,6,4,8,2]=>[1,2,2,2,1]=>11010101=>6 [4,8,2,3,5,1,6,7]=>[5,1,7,6,4,8,3,2]=>[1,2,1,2,1,1]=>11011011=>4 [3,8,2,1,4,6,5,7]=>[6,1,7,8,5,3,4,2]=>[1,3,1,2,1]=>11001101=>4 [2,8,1,3,4,5,7,6]=>[7,1,8,6,5,4,2,3]=>[1,2,1,1,1,2]=>11011110=>3 [2,8,4,1,6,5,3,7]=>[7,1,5,8,3,4,6,2]=>[1,3,3,1]=>11001001=>4 [2,8,4,1,6,5,7,3]=>[7,1,5,8,3,4,2,6]=>[1,3,2,2]=>11001010=>5 [2,8,7,6,1,4,3,5]=>[7,1,2,3,8,5,6,4]=>[1,4,2,1]=>11000101=>4 [2,8,5,6,7,4,3,1]=>[7,1,4,3,2,5,6,8]=>[1,2,1,4]=>11011000=>3 [7,5,8,6,1,4,2,3]=>[2,4,1,3,8,5,7,6]=>[2,3,2,1]=>10100101=>6 [3,5,7,6,1,4,2,8]=>[6,4,2,3,8,5,7,1]=>[1,1,3,2,1]=>11100101=>4 [3,5,7,2,4,1,6,8]=>[6,4,2,7,5,8,3,1]=>[1,1,2,2,1,1]=>11101011=>4 [7,5,8,2,4,1,6,3]=>[2,4,1,7,5,8,3,6]=>[2,2,2,2]=>10101010=>7 [2,8,5,3,4,7,6,1]=>[7,1,4,6,5,2,3,8]=>[1,3,1,3]=>11001100=>3 [2,8,5,3,4,1,7,6]=>[7,1,4,6,5,8,2,3]=>[1,3,2,2]=>11001010=>5 [2,8,5,3,4,1,6,7]=>[7,1,4,6,5,8,3,2]=>[1,3,2,1,1]=>11001011=>4 [2,8,7,6,1,4,5,3]=>[7,1,2,3,8,5,4,6]=>[1,4,1,2]=>11000110=>3 [2,8,5,3,6,1,7,4]=>[7,1,4,6,3,8,2,5]=>[1,3,2,2]=>11001010=>5 [2,8,5,6,7,4,1,3]=>[7,1,4,3,2,5,8,6]=>[1,2,1,3,1]=>11011001=>4 [2,8,5,3,4,7,1,6]=>[7,1,4,6,5,2,8,3]=>[1,3,1,2,1]=>11001101=>4 [2,8,5,3,4,6,1,7]=>[7,1,4,6,5,3,8,2]=>[1,3,1,2,1]=>11001101=>4 [2,8,5,3,4,6,7,1]=>[7,1,4,6,5,3,2,8]=>[1,3,1,1,2]=>11001110=>3 [3,5,7,2,4,6,1,8]=>[6,4,2,7,5,3,8,1]=>[1,1,2,1,2,1]=>11101101=>4 [6,5,2,7,3,1,4,8]=>[3,4,7,2,6,8,5,1]=>[3,3,1,1]=>10010011=>4 [6,5,2,8,3,1,7,4]=>[3,4,7,1,6,8,2,5]=>[3,3,2]=>10010010=>5 [6,5,2,8,3,1,4,7]=>[3,4,7,1,6,8,5,2]=>[3,3,1,1]=>10010011=>4 [7,5,8,2,4,6,3,1]=>[2,4,1,7,5,3,6,8]=>[2,2,1,3]=>10101100=>5 [7,5,8,6,1,4,3,2]=>[2,4,1,3,8,5,6,7]=>[2,3,3]=>10100100=>5 [6,5,8,2,1,3,7,4]=>[3,4,1,7,8,6,2,5]=>[2,3,1,2]=>10100110=>5 [3,5,6,2,1,8,7,4]=>[6,4,3,7,8,1,2,5]=>[1,1,3,3]=>11100100=>3 [3,5,7,6,1,4,8,2]=>[6,4,2,3,8,5,1,7]=>[1,1,3,1,2]=>11100110=>3 [3,5,7,2,4,1,8,6]=>[6,4,2,7,5,8,1,3]=>[1,1,2,2,2]=>11101010=>5 [3,5,7,2,4,6,8,1]=>[6,4,2,7,5,3,1,8]=>[1,1,2,1,1,2]=>11101110=>3 [6,5,2,7,3,1,8,4]=>[3,4,7,2,6,8,1,5]=>[3,3,2]=>10010010=>5 [4,5,2,6,3,1,7,8]=>[5,4,7,3,6,8,2,1]=>[1,2,3,1,1]=>11010011=>4 [4,1,2,3,7,6,8,5]=>[5,8,7,6,2,3,1,4]=>[2,1,1,2,2]=>10111010=>5 [6,5,2,7,3,4,8,1]=>[3,4,7,2,6,5,1,8]=>[3,2,1,2]=>10010110=>5 [5,1,6,7,4,3,8,2]=>[4,8,3,2,5,6,1,7]=>[2,1,3,2]=>10110010=>5 [5,1,2,6,4,8,7,3]=>[4,8,7,3,5,1,2,6]=>[2,1,2,3]=>10110100=>5 [5,1,2,8,6,4,7,3]=>[4,8,7,1,3,5,2,6]=>[2,1,3,2]=>10110010=>5 [5,1,6,8,7,3,4,2]=>[4,8,3,1,2,6,5,7]=>[2,1,3,2]=>10110010=>5 [6,5,2,8,3,7,4,1]=>[3,4,7,1,6,2,5,8]=>[3,2,3]=>10010100=>5 [4,1,2,3,8,7,5,6]=>[5,8,7,6,1,2,4,3]=>[2,1,1,3,1]=>10111001=>4 [4,1,2,3,8,6,5,7]=>[5,8,7,6,1,3,4,2]=>[2,1,1,3,1]=>10111001=>4 [4,1,2,3,8,6,7,5]=>[5,8,7,6,1,3,2,4]=>[2,1,1,2,2]=>10111010=>5 [4,1,2,3,7,6,5,8]=>[5,8,7,6,2,3,4,1]=>[2,1,1,3,1]=>10111001=>4 [4,1,2,3,8,5,7,6]=>[5,8,7,6,1,4,2,3]=>[2,1,1,2,2]=>10111010=>5 [7,1,6,8,4,3,5,2]=>[2,8,3,1,5,6,4,7]=>[2,1,3,2]=>10110010=>5 [6,1,2,8,4,5,7,3]=>[3,8,7,1,5,4,2,6]=>[2,1,2,1,2]=>10110110=>5 [5,6,8,2,3,1,7,4]=>[4,3,1,7,6,8,2,5]=>[1,1,2,2,2]=>11101010=>5 [6,5,8,2,4,3,1,7]=>[3,4,1,7,5,6,8,2]=>[2,2,3,1]=>10101001=>6 [6,5,8,2,4,3,7,1]=>[3,4,1,7,5,6,2,8]=>[2,2,2,2]=>10101010=>7 [7,5,2,8,3,4,1,6]=>[2,4,7,1,6,5,8,3]=>[3,2,2,1]=>10010101=>6 [6,5,2,8,3,7,1,4]=>[3,4,7,1,6,2,8,5]=>[3,2,2,1]=>10010101=>6 [6,5,2,7,3,4,1,8]=>[3,4,7,2,6,5,8,1]=>[3,2,2,1]=>10010101=>6 [5,1,6,7,4,3,2,8]=>[4,8,3,2,5,6,7,1]=>[2,1,4,1]=>10110001=>4 [5,1,6,8,7,3,2,4]=>[4,8,3,1,2,6,7,5]=>[2,1,4,1]=>10110001=>4 [7,1,6,8,4,3,2,5]=>[2,8,3,1,5,6,7,4]=>[2,1,4,1]=>10110001=>4 [5,7,8,6,3,4,2,1]=>[4,2,1,3,6,5,7,8]=>[1,1,3,3]=>11100100=>3 [4,1,8,3,6,5,7,2]=>[5,8,1,6,3,4,2,7]=>[2,2,2,2]=>10101010=>7 [4,1,8,3,6,2,7,5]=>[5,8,1,6,3,7,2,4]=>[2,2,2,2]=>10101010=>7 [3,1,4,8,6,2,7,5]=>[6,8,5,1,3,7,2,4]=>[2,1,3,2]=>10110010=>5 [3,1,4,8,6,5,2,7]=>[6,8,5,1,3,4,7,2]=>[2,1,4,1]=>10110001=>4 [7,1,6,5,8,3,2,4]=>[2,8,3,4,1,6,7,5]=>[2,2,3,1]=>10101001=>6 [4,1,6,7,8,3,2,5]=>[5,8,3,2,1,6,7,4]=>[2,1,1,3,1]=>10111001=>4 [4,1,6,5,7,3,2,8]=>[5,8,3,4,2,6,7,1]=>[2,2,3,1]=>10101001=>6 [4,5,2,6,3,7,1,8]=>[5,4,7,3,6,2,8,1]=>[1,2,2,2,1]=>11010101=>6 [4,5,2,7,3,8,1,6]=>[5,4,7,2,6,1,8,3]=>[1,2,2,2,1]=>11010101=>6 [3,5,6,2,4,8,7,1]=>[6,4,3,7,5,1,2,8]=>[1,1,2,1,3]=>11101100=>3 [3,5,6,2,4,8,1,7]=>[6,4,3,7,5,1,8,2]=>[1,1,2,1,2,1]=>11101101=>4 [3,7,5,6,8,4,1,2]=>[6,2,4,3,1,5,8,7]=>[1,2,1,3,1]=>11011001=>4 [3,6,5,2,8,1,7,4]=>[6,3,4,7,1,8,2,5]=>[1,3,2,2]=>11001010=>5 [6,1,2,5,8,4,7,3]=>[3,8,7,4,1,5,2,6]=>[2,1,1,2,2]=>10111010=>5 [7,1,6,5,8,3,4,2]=>[2,8,3,4,1,6,5,7]=>[2,2,2,2]=>10101010=>7 [7,5,2,6,3,8,4,1]=>[2,4,7,3,6,1,5,8]=>[3,2,3]=>10010100=>5 [4,1,2,3,5,8,7,6]=>[5,8,7,6,4,1,2,3]=>[2,1,1,1,3]=>10111100=>3 [4,1,2,3,7,8,6,5]=>[5,8,7,6,2,1,3,4]=>[2,1,1,1,3]=>10111100=>3 [4,5,2,7,3,8,6,1]=>[5,4,7,2,6,1,3,8]=>[1,2,2,3]=>11010100=>5 [4,1,6,7,8,3,5,2]=>[5,8,3,2,1,6,4,7]=>[2,1,1,2,2]=>10111010=>5 [4,1,2,6,8,5,7,3]=>[5,8,7,3,1,4,2,6]=>[2,1,1,2,2]=>10111010=>5 [4,1,2,5,6,8,7,3]=>[5,8,7,4,3,1,2,6]=>[2,1,1,1,3]=>10111100=>3 [4,5,2,6,3,7,8,1]=>[5,4,7,3,6,2,1,8]=>[1,2,2,1,2]=>11010110=>5 [7,8,5,6,1,4,3,2]=>[2,1,4,3,8,5,6,7]=>[1,2,2,3]=>11010100=>5 [7,8,4,2,1,5,3,6]=>[2,1,5,7,8,4,6,3]=>[1,4,2,1]=>11000101=>4 [7,8,2,1,6,5,3,4]=>[2,1,7,8,3,4,6,5]=>[1,3,3,1]=>11001001=>4 [6,4,1,2,5,7,3,8]=>[3,5,8,7,4,2,6,1]=>[3,1,1,2,1]=>10011101=>4 [2,4,8,1,5,7,3,6]=>[7,5,1,8,4,2,6,3]=>[1,1,2,1,2,1]=>11101101=>4 [4,3,8,1,7,2,5,6]=>[5,6,1,8,2,7,4,3]=>[2,2,2,1,1]=>10101011=>6 [6,3,1,4,7,2,5,8]=>[3,6,8,5,2,7,4,1]=>[3,1,2,1,1]=>10011011=>4 [7,8,3,4,5,1,6,2]=>[2,1,6,5,4,8,3,7]=>[1,2,1,2,2]=>11011010=>5 [7,8,3,5,4,2,1,6]=>[2,1,6,4,5,7,8,3]=>[1,2,4,1]=>11010001=>4 [7,8,4,1,2,3,6,5]=>[2,1,5,8,7,6,3,4]=>[1,3,1,1,2]=>11001110=>3 [7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[1,2,4,1]=>11010001=>4 [7,8,2,1,5,3,4,6]=>[2,1,7,8,4,6,5,3]=>[1,3,2,1,1]=>11001011=>4 [7,8,2,6,4,1,3,5]=>[2,1,7,3,5,8,6,4]=>[1,2,3,1,1]=>11010011=>4 [7,8,2,5,6,4,1,3]=>[2,1,7,4,3,5,8,6]=>[1,2,1,3,1]=>11011001=>4 [7,8,1,6,5,4,3,2]=>[2,1,8,3,4,5,6,7]=>[1,2,5]=>11010000=>3 [6,2,1,7,5,4,3,8]=>[3,7,8,2,4,5,6,1]=>[3,4,1]=>10010001=>4 [2,1,8,7,5,4,3,6]=>[7,8,1,2,4,5,6,3]=>[2,5,1]=>10100001=>4 [1,3,8,2,6,4,7,5]=>[8,6,1,7,3,5,2,4]=>[1,1,2,2,2]=>11101010=>5 [5,3,7,1,6,4,8,2]=>[4,6,2,8,3,5,1,7]=>[2,2,2,2]=>10101010=>7 [5,3,6,2,7,4,1,8]=>[4,6,3,7,2,5,8,1]=>[2,2,3,1]=>10101001=>6 [6,3,1,8,4,2,7,5]=>[3,6,8,1,5,7,2,4]=>[3,3,2]=>10010010=>5 [6,4,2,1,5,3,8,7]=>[3,5,7,8,4,6,1,2]=>[4,2,2]=>10001010=>5 [6,4,3,7,5,8,1,2]=>[3,5,6,2,4,1,8,7]=>[3,2,2,1]=>10010101=>6 [4,3,8,7,5,6,1,2]=>[5,6,1,2,4,3,8,7]=>[2,3,2,1]=>10100101=>6 [2,4,7,1,5,3,6,8]=>[7,5,2,8,4,6,3,1]=>[1,1,2,2,1,1]=>11101011=>4 [2,1,7,5,6,8,4,3]=>[7,8,2,4,3,1,5,6]=>[2,2,1,3]=>10101100=>5 [3,7,2,8,6,4,1,5]=>[6,2,7,1,3,5,8,4]=>[1,2,4,1]=>11010001=>4 [3,8,1,7,6,4,5,2]=>[6,1,8,2,3,5,4,7]=>[1,2,3,2]=>11010010=>5 [1,8,5,7,3,6,4,2]=>[8,1,4,2,6,3,5,7]=>[1,2,2,3]=>11010100=>5 [2,7,5,8,3,6,1,4]=>[7,2,4,1,6,3,8,5]=>[1,2,2,2,1]=>11010101=>6 [1,5,6,8,2,4,7,3]=>[8,4,3,1,7,5,2,6]=>[1,1,1,2,1,2]=>11110110=>3 [2,6,8,5,3,1,4,7]=>[7,3,1,4,6,8,5,2]=>[1,1,4,1,1]=>11100011=>2 [2,6,1,4,7,3,5,8]=>[7,3,8,5,2,6,4,1]=>[1,2,1,2,1,1]=>11011011=>4 [5,6,7,3,8,4,1,2]=>[4,3,2,6,1,5,8,7]=>[1,1,2,3,1]=>11101001=>4 [5,2,8,1,4,7,3,6]=>[4,7,1,8,5,2,6,3]=>[2,2,1,2,1]=>10101101=>6 [4,6,7,5,2,1,3,8]=>[5,3,2,4,7,8,6,1]=>[1,1,4,1,1]=>11100011=>2 [4,5,6,7,2,8,1,3]=>[5,4,3,2,7,1,8,6]=>[1,1,1,2,2,1]=>11110101=>4 [4,5,7,6,1,8,3,2]=>[5,4,2,3,8,1,6,7]=>[1,1,3,3]=>11100100=>3 [1,5,8,6,2,7,3,4]=>[8,4,1,3,7,2,6,5]=>[1,1,3,2,1]=>11100101=>4 [1,6,5,8,3,2,7,4]=>[8,3,4,1,6,7,2,5]=>[1,2,3,2]=>11010010=>5 [4,7,5,6,3,1,8,2]=>[5,2,4,3,6,8,1,7]=>[1,2,3,2]=>11010010=>5 [5,1,6,3,4,2,8,7]=>[4,8,3,6,5,7,1,2]=>[2,2,2,2]=>10101010=>7 [5,7,1,4,2,3,8,6]=>[4,2,8,5,7,6,1,3]=>[1,2,2,1,2]=>11010110=>5 [5,7,6,4,3,8,1,2]=>[4,2,3,5,6,1,8,7]=>[1,4,2,1]=>11000101=>4 [6,3,4,5,8,7,1,2]=>[3,6,5,4,1,2,8,7]=>[2,1,1,3,1]=>10111001=>4 [6,2,4,1,8,3,7,5]=>[3,7,5,8,1,6,2,4]=>[2,2,2,2]=>10101010=>7 [6,2,3,5,4,8,1,7]=>[3,7,6,4,5,1,8,2]=>[2,1,2,2,1]=>10110101=>6 [6,1,3,4,5,8,7,2]=>[3,8,6,5,4,1,2,7]=>[2,1,1,1,3]=>10111100=>3 [5,1,4,2,7,6,8,3]=>[4,8,5,7,2,3,1,6]=>[2,2,2,2]=>10101010=>7 [1,6,2,4,7,8,3,5]=>[8,3,7,5,2,1,6,4]=>[1,2,1,1,2,1]=>11011101=>4 [5,7,2,4,1,6,3,8]=>[4,2,7,5,8,3,6,1]=>[1,2,2,2,1]=>11010101=>6 [6,7,5,8,1,4,3,2]=>[3,2,4,1,8,5,6,7]=>[1,2,2,3]=>11010100=>5 [5,8,7,6,3,4,1,2]=>[4,1,2,3,6,5,8,7]=>[1,4,2,1]=>11000101=>4 [5,8,7,6,2,3,1,4]=>[4,1,2,3,7,6,8,5]=>[1,4,2,1]=>11000101=>4 [4,1,7,2,6,5,3,8]=>[5,8,2,7,3,4,6,1]=>[2,2,3,1]=>10101001=>6 [4,8,2,1,5,6,3,7]=>[5,1,7,8,4,3,6,2]=>[1,3,1,2,1]=>11001101=>4 [4,2,7,8,1,6,3,5]=>[5,7,2,1,8,3,6,4]=>[2,1,2,2,1]=>10110101=>6 [2,1,8,7,6,5,3,4]=>[7,8,1,2,3,4,6,5]=>[2,5,1]=>10100001=>4 [3,1,7,4,5,6,8,2]=>[6,8,2,5,4,3,1,7]=>[2,2,1,1,2]=>10101110=>5 [4,2,7,1,6,3,8,5]=>[5,7,2,8,3,6,1,4]=>[2,2,2,2]=>10101010=>7 [4,3,7,5,6,8,1,2]=>[5,6,2,4,3,1,8,7]=>[2,2,1,2,1]=>10101101=>6 [3,8,6,5,2,4,1,7]=>[6,1,3,4,7,5,8,2]=>[1,4,2,1]=>11000101=>4 [3,8,5,6,1,4,7,2]=>[6,1,4,3,8,5,2,7]=>[1,2,2,1,2]=>11010110=>5 [5,3,7,8,2,1,6,4]=>[4,6,2,1,7,8,3,5]=>[2,1,3,2]=>10110010=>5 [5,2,8,7,1,6,4,3]=>[4,7,1,2,8,3,5,6]=>[2,3,3]=>10100100=>5 [1,6,8,7,5,2,4,3]=>[8,3,1,2,4,7,5,6]=>[1,1,4,2]=>11100010=>3 [3,6,7,8,5,1,4,2]=>[6,3,2,1,4,8,5,7]=>[1,1,1,3,2]=>11110010=>3 [3,7,6,8,5,2,1,4]=>[6,2,3,1,4,7,8,5]=>[1,2,4,1]=>11010001=>4 [3,7,8,5,1,2,4,6]=>[6,2,1,4,8,7,5,3]=>[1,1,3,1,1,1]=>11100111=>2 [4,1,8,6,2,3,5,7]=>[5,8,1,3,7,6,4,2]=>[2,3,1,1,1]=>10100111=>4 [4,7,8,6,3,5,1,2]=>[5,2,1,3,6,4,8,7]=>[1,1,3,2,1]=>11100101=>4 [3,8,7,6,5,4,1,2]=>[6,1,2,3,4,5,8,7]=>[1,6,1]=>11000001=>2 [2,1,7,6,5,3,4,8]=>[7,8,2,3,4,6,5,1]=>[2,4,1,1]=>10100011=>4 [2,8,1,6,4,5,3,7]=>[7,1,8,3,5,4,6,2]=>[1,2,2,2,1]=>11010101=>6 [2,8,7,5,1,4,3,6]=>[7,1,2,4,8,5,6,3]=>[1,4,2,1]=>11000101=>4 [2,7,8,6,5,4,1,3]=>[7,2,1,3,4,5,8,6]=>[1,1,5,1]=>11100001=>2 [6,4,2,7,1,3,8,5]=>[3,5,7,2,8,6,1,4]=>[3,2,1,2]=>10010110=>5 [7,4,2,5,1,3,8,6]=>[2,5,7,4,8,6,1,3]=>[3,2,1,2]=>10010110=>5 [7,5,3,6,1,8,2,4]=>[2,4,6,3,8,1,7,5]=>[3,2,2,1]=>10010101=>6 [8,5,3,6,1,7,2,4]=>[1,4,6,3,8,2,7,5]=>[3,2,2,1]=>10010101=>6 [8,3,6,2,4,7,1,5]=>[1,6,3,7,5,2,8,4]=>[2,2,1,2,1]=>10101101=>6 [7,3,6,2,4,8,1,5]=>[2,6,3,7,5,1,8,4]=>[2,2,1,2,1]=>10101101=>6 [4,3,7,1,2,5,8,6]=>[5,6,2,8,7,4,1,3]=>[2,2,1,1,2]=>10101110=>5 [3,6,2,7,1,4,8,5]=>[6,3,7,2,8,5,1,4]=>[1,2,2,1,2]=>11010110=>5 [5,3,6,7,1,2,8,4]=>[4,6,3,2,8,7,1,5]=>[2,1,2,1,2]=>10110110=>5 [6,3,7,4,1,2,8,5]=>[3,6,2,5,8,7,1,4]=>[2,3,1,2]=>10100110=>5 [4,7,1,5,2,3,8,6]=>[5,2,8,4,7,6,1,3]=>[1,2,2,1,2]=>11010110=>5 [3,7,5,1,2,4,8,6]=>[6,2,4,8,7,5,1,3]=>[1,3,1,1,2]=>11001110=>3 [8,6,4,2,3,7,1,5]=>[1,3,5,7,6,2,8,4]=>[4,1,2,1]=>10001101=>4 [4,7,6,3,8,1,2,5]=>[5,2,3,6,1,8,7,4]=>[1,3,2,1,1]=>11001011=>4 [5,7,4,2,3,8,1,6]=>[4,2,5,7,6,1,8,3]=>[1,3,1,2,1]=>11001101=>4 [3,7,6,1,4,8,2,5]=>[6,2,3,8,5,1,7,4]=>[1,3,1,2,1]=>11001101=>4 [5,7,2,6,1,8,3,4]=>[4,2,7,3,8,1,6,5]=>[1,2,2,2,1]=>11010101=>6 [6,4,7,5,2,8,1,3]=>[3,5,2,4,7,1,8,6]=>[2,3,2,1]=>10100101=>6 [7,4,8,5,2,6,1,3]=>[2,5,1,4,7,3,8,6]=>[2,3,2,1]=>10100101=>6 [5,8,2,6,3,7,1,4]=>[4,1,7,3,6,2,8,5]=>[1,2,2,2,1]=>11010101=>6 [3,8,6,1,2,7,4,5]=>[6,1,3,8,7,2,5,4]=>[1,3,1,2,1]=>11001101=>4 [3,8,6,2,4,7,1,5]=>[6,1,3,7,5,2,8,4]=>[1,3,1,2,1]=>11001101=>4 [6,8,4,3,7,1,2,5]=>[3,1,5,6,2,8,7,4]=>[1,3,2,1,1]=>11001011=>4 [6,8,5,3,7,1,2,4]=>[3,1,4,6,2,8,7,5]=>[1,3,2,1,1]=>11001011=>4 [3,8,5,7,1,2,4,6]=>[6,1,4,2,8,7,5,3]=>[1,2,2,1,1,1]=>11010111=>4 [2,8,5,7,1,3,4,6]=>[7,1,4,2,8,6,5,3]=>[1,2,2,1,1,1]=>11010111=>4 [4,8,6,2,7,1,3,5]=>[5,1,3,7,2,8,6,4]=>[1,3,2,1,1]=>11001011=>4 [7,3,8,5,6,1,2,4]=>[2,6,1,4,3,8,7,5]=>[2,2,2,1,1]=>10101011=>6 [2,7,6,4,8,1,3,5]=>[7,2,3,5,1,8,6,4]=>[1,3,2,1,1]=>11001011=>4 [2,6,5,8,1,3,4,7]=>[7,3,4,1,8,6,5,2]=>[1,2,2,1,1,1]=>11010111=>4 [2,5,7,4,8,1,3,6]=>[7,4,2,5,1,8,6,3]=>[1,1,2,2,1,1]=>11101011=>4 [5,4,6,7,2,8,1,3]=>[4,5,3,2,7,1,8,6]=>[2,1,2,2,1]=>10110101=>6 [4,6,3,7,1,8,2,5]=>[5,3,6,2,8,1,7,4]=>[1,2,2,2,1]=>11010101=>6 [3,5,7,1,4,8,2,6]=>[6,4,2,8,5,1,7,3]=>[1,1,2,1,2,1]=>11101101=>4 [5,3,7,2,4,8,1,6]=>[4,6,2,7,5,1,8,3]=>[2,2,1,2,1]=>10101101=>6 [5,4,7,3,8,1,2,6]=>[4,5,2,6,1,8,7,3]=>[2,2,2,1,1]=>10101011=>6 [7,4,6,3,8,1,2,5]=>[2,5,3,6,1,8,7,4]=>[2,2,2,1,1]=>10101011=>6 [8,4,6,3,7,1,2,5]=>[1,5,3,6,2,8,7,4]=>[2,2,2,1,1]=>10101011=>6 [8,4,1,6,7,2,3,5]=>[1,5,8,3,2,7,6,4]=>[3,1,2,1,1]=>10011011=>4 [7,4,1,6,8,2,3,5]=>[2,5,8,3,1,7,6,4]=>[3,1,2,1,1]=>10011011=>4 [5,4,1,7,8,2,3,6]=>[4,5,8,2,1,7,6,3]=>[3,1,2,1,1]=>10011011=>4 [6,5,3,7,1,8,2,4]=>[3,4,6,2,8,1,7,5]=>[3,2,2,1]=>10010101=>6 [6,5,1,2,7,8,3,4]=>[3,4,8,7,2,1,6,5]=>[3,1,1,2,1]=>10011101=>4 [5,3,6,4,7,8,1,2]=>[4,6,3,5,2,1,8,7]=>[2,2,1,2,1]=>10101101=>6 [6,3,7,4,8,5,1,2]=>[3,6,2,5,1,4,8,7]=>[2,2,3,1]=>10101001=>6 [4,7,1,5,8,6,2,3]=>[5,2,8,4,1,3,7,6]=>[1,2,1,3,1]=>11011001=>4 [7,5,1,2,8,6,3,4]=>[2,4,8,7,1,3,6,5]=>[3,1,3,1]=>10011001=>4 [7,5,3,8,1,6,2,4]=>[2,4,6,1,8,3,7,5]=>[3,2,2,1]=>10010101=>6 [7,4,1,8,6,2,3,5]=>[2,5,8,1,3,7,6,4]=>[3,3,1,1]=>10010011=>4 [7,6,1,8,5,2,3,4]=>[2,3,8,1,4,7,6,5]=>[3,3,1,1]=>10010011=>4 [8,6,1,7,5,2,3,4]=>[1,3,8,2,4,7,6,5]=>[3,3,1,1]=>10010011=>4 [5,7,2,8,1,6,3,4]=>[4,2,7,1,8,3,6,5]=>[1,2,2,2,1]=>11010101=>6 [6,4,7,8,2,5,1,3]=>[3,5,2,1,7,4,8,6]=>[2,1,2,2,1]=>10110101=>6 [6,3,7,8,5,1,2,4]=>[3,6,2,1,4,8,7,5]=>[2,1,3,1,1]=>10110011=>4 [3,6,8,2,7,1,4,5]=>[6,3,1,7,2,8,5,4]=>[1,1,2,2,1,1]=>11101011=>4 [2,4,8,7,1,3,5,6]=>[7,5,1,2,8,6,4,3]=>[1,1,3,1,1,1]=>11100111=>2 [4,3,8,7,1,2,5,6]=>[5,6,1,2,8,7,4,3]=>[2,3,1,1,1]=>10100111=>4 [5,3,8,7,1,2,4,6]=>[4,6,1,2,8,7,5,3]=>[2,3,1,1,1]=>10100111=>4 [8,3,7,6,1,2,4,5]=>[1,6,2,3,8,7,5,4]=>[2,3,1,1,1]=>10100111=>4 [8,4,7,6,1,2,3,5]=>[1,5,2,3,8,7,6,4]=>[2,3,1,1,1]=>10100111=>4 [5,4,8,7,1,2,3,6]=>[4,5,1,2,8,7,6,3]=>[2,3,1,1,1]=>10100111=>4 [3,5,8,7,1,2,4,6]=>[6,4,1,2,8,7,5,3]=>[1,1,3,1,1,1]=>11100111=>2 [2,5,8,7,1,3,4,6]=>[7,4,1,2,8,6,5,3]=>[1,1,3,1,1,1]=>11100111=>2 [4,6,8,2,7,1,3,5]=>[5,3,1,7,2,8,6,4]=>[1,1,2,2,1,1]=>11101011=>4 [4,7,1,8,6,2,3,5]=>[5,2,8,1,3,7,6,4]=>[1,2,3,1,1]=>11010011=>4 [7,5,8,6,4,1,2,3]=>[2,4,1,3,5,8,7,6]=>[2,4,1,1]=>10100011=>4 [6,8,4,7,5,1,2,3]=>[3,1,5,2,4,8,7,6]=>[1,2,3,1,1]=>11010011=>4 [5,8,7,1,6,2,3,4]=>[4,1,2,8,3,7,6,5]=>[1,3,2,1,1]=>11001011=>4 [2,8,7,6,1,3,4,5]=>[7,1,2,3,8,6,5,4]=>[1,4,1,1,1]=>11000111=>2 [3,8,7,6,1,2,4,5]=>[6,1,2,3,8,7,5,4]=>[1,4,1,1,1]=>11000111=>2 [4,8,7,6,1,2,3,5]=>[5,1,2,3,8,7,6,4]=>[1,4,1,1,1]=>11000111=>2 [5,6,3,1,4,2,8,7]=>[4,3,6,8,5,7,1,2]=>[1,3,2,2]=>11001010=>5 [7,5,3,8,2,1,6,4]=>[2,4,6,1,7,8,3,5]=>[3,3,2]=>10010010=>5 [3,8,7,4,5,1,6,2]=>[6,1,2,5,4,8,3,7]=>[1,3,2,2]=>11001010=>5 [6,7,1,4,5,8,2,3]=>[3,2,8,5,4,1,7,6]=>[1,2,1,1,2,1]=>11011101=>4 [2,1,7,8,5,3,6,4]=>[7,8,2,1,4,6,3,5]=>[2,1,3,2]=>10110010=>5 [5,7,3,8,1,2,6,4]=>[4,2,6,1,8,7,3,5]=>[1,2,2,1,2]=>11010110=>5 [8,7,1,4,5,3,2,6]=>[1,2,8,5,4,6,7,3]=>[3,1,3,1]=>10011001=>4 [2,7,8,4,1,6,5,3]=>[7,2,1,5,8,3,4,6]=>[1,1,3,3]=>11100100=>3 [7,1,8,4,2,6,5,3]=>[2,8,1,5,7,3,4,6]=>[2,3,3]=>10100100=>5 [7,5,1,4,8,6,3,2]=>[2,4,8,5,1,3,6,7]=>[3,1,4]=>10011000=>3 [6,5,3,1,8,4,7,2]=>[3,4,6,8,1,5,2,7]=>[4,2,2]=>10001010=>5 [6,4,3,8,1,5,7,2]=>[3,5,6,1,8,4,2,7]=>[3,2,1,2]=>10010110=>5 [8,6,3,1,2,5,7,4]=>[1,3,6,8,7,4,2,5]=>[4,1,1,2]=>10001110=>3 [8,7,1,4,2,6,5,3]=>[1,2,8,5,7,3,4,6]=>[3,2,3]=>10010100=>5 [7,3,8,4,1,6,5,2]=>[2,6,1,5,8,3,4,7]=>[2,3,3]=>10100100=>5 [2,3,4,5,6,7,8,1,9]=>[8,7,6,5,4,3,2,9,1]=>[1,1,1,1,1,1,2,1]=>111111101=>2 [2,3,4,5,6,8,9,1,7]=>[8,7,6,5,4,2,1,9,3]=>[1,1,1,1,1,1,2,1]=>111111101=>2 [2,3,4,5,7,8,9,1,6]=>[8,7,6,5,3,2,1,9,4]=>[1,1,1,1,1,1,2,1]=>111111101=>2 [2,3,4,6,7,8,9,1,5]=>[8,7,6,4,3,2,1,9,5]=>[1,1,1,1,1,1,2,1]=>111111101=>2 [2,3,5,6,7,8,9,1,4]=>[8,7,5,4,3,2,1,9,6]=>[1,1,1,1,1,1,2,1]=>111111101=>2 [2,4,5,6,7,8,9,1,3]=>[8,6,5,4,3,2,1,9,7]=>[1,1,1,1,1,1,2,1]=>111111101=>2 [3,4,5,6,7,8,9,1,2]=>[7,6,5,4,3,2,1,9,8]=>[1,1,1,1,1,1,2,1]=>111111101=>2 [2,3,4,5,6,7,1,8,9]=>[8,7,6,5,4,3,9,2,1]=>[1,1,1,1,1,2,1,1]=>111111011=>2 [2,3,4,5,6,1,9,7,8]=>[8,7,6,5,4,9,1,3,2]=>[1,1,1,1,2,2,1]=>111110101=>4 [2,3,4,5,1,8,9,6,7]=>[8,7,6,5,9,2,1,4,3]=>[1,1,1,2,1,2,1]=>111101101=>4 [2,3,4,1,7,8,9,5,6]=>[8,7,6,9,3,2,1,5,4]=>[1,1,2,1,1,2,1]=>111011101=>4 [2,3,1,6,7,8,9,4,5]=>[8,7,9,4,3,2,1,6,5]=>[1,2,1,1,1,2,1]=>110111101=>4 [2,1,5,6,7,8,9,3,4]=>[8,9,5,4,3,2,1,7,6]=>[2,1,1,1,1,2,1]=>101111101=>4 [1,4,5,6,7,8,9,2,3]=>[9,6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,2,1]=>111111101=>2 [3,6,4,5,7,2,8,1]=>[6,3,5,4,2,7,1,8]=>[1,2,1,2,2]=>11011010=>5 [5,3,2,7,4,6,8,1]=>[4,6,7,2,5,3,1,8]=>[3,2,1,2]=>10010110=>5 [7,5,3,6,2,4,8,1]=>[2,4,6,3,7,5,1,8]=>[3,2,1,2]=>10010110=>5 [8,5,3,6,2,7,1,4]=>[1,4,6,3,7,2,8,5]=>[3,2,2,1]=>10010101=>6 [8,2,6,3,4,7,1,5]=>[1,7,3,6,5,2,8,4]=>[2,2,1,2,1]=>10101101=>6 [7,2,6,3,4,5,8,1]=>[2,7,3,6,5,4,1,8]=>[2,2,1,1,2]=>10101110=>5 [6,2,7,3,4,5,8,1]=>[3,7,2,6,5,4,1,8]=>[2,2,1,1,2]=>10101110=>5 [3,6,2,7,4,5,8,1]=>[6,3,7,2,5,4,1,8]=>[1,2,2,1,2]=>11010110=>5 [4,2,5,7,3,6,8,1]=>[5,7,4,2,6,3,1,8]=>[2,1,2,1,2]=>10110110=>5 [5,4,7,6,2,3,8,1]=>[4,5,2,3,7,6,1,8]=>[2,3,1,2]=>10100110=>5 [6,7,3,5,2,4,8,1]=>[3,2,6,4,7,5,1,8]=>[1,2,2,1,2]=>11010110=>5 [3,7,6,2,4,5,8,1]=>[6,2,3,7,5,4,1,8]=>[1,3,1,1,2]=>11001110=>3 [2,7,6,3,4,5,8,1]=>[7,2,3,6,5,4,1,8]=>[1,3,1,1,2]=>11001110=>3 [6,5,3,1,2,8,4,7]=>[3,4,6,8,7,1,5,2]=>[4,1,2,1]=>10001101=>4 [8,6,5,2,3,7,1,4]=>[1,3,4,7,6,2,8,5]=>[4,1,2,1]=>10001101=>4 [8,5,2,1,7,3,4,6]=>[1,4,7,8,2,6,5,3]=>[4,2,1,1]=>10001011=>4 [7,5,2,1,8,3,4,6]=>[2,4,7,8,1,6,5,3]=>[4,2,1,1]=>10001011=>4 [1,6,3,2,8,4,5,7]=>[8,3,6,7,1,5,4,2]=>[1,3,2,1,1]=>11001011=>4 [5,7,3,1,2,8,4,6]=>[4,2,6,8,7,1,5,3]=>[1,3,1,2,1]=>11001101=>4 [5,6,2,3,1,8,4,7]=>[4,3,7,6,8,1,5,2]=>[1,2,2,2,1]=>11010101=>6 [4,2,6,5,1,8,3,7]=>[5,7,3,4,8,1,6,2]=>[2,3,2,1]=>10100101=>6 [5,4,8,6,2,7,1,3]=>[4,5,1,3,7,2,8,6]=>[2,3,2,1]=>10100101=>6 [6,8,3,5,2,7,1,4]=>[3,1,6,4,7,2,8,5]=>[1,2,2,2,1]=>11010101=>6 [7,8,5,2,3,6,1,4]=>[2,1,4,7,6,3,8,5]=>[1,3,1,2,1]=>11001101=>4 [6,8,2,1,7,3,4,5]=>[3,1,7,8,2,6,5,4]=>[1,3,2,1,1]=>11001011=>4 [1,8,6,3,7,2,4,5]=>[8,1,3,6,2,7,5,4]=>[1,3,2,1,1]=>11001011=>4 [1,8,2,7,3,4,5,6]=>[8,1,7,2,6,5,4,3]=>[1,2,2,1,1,1]=>11010111=>4 [2,8,1,7,3,4,5,6]=>[7,1,8,2,6,5,4,3]=>[1,2,2,1,1,1]=>11010111=>4 [3,8,6,1,7,2,4,5]=>[6,1,3,8,2,7,5,4]=>[1,3,2,1,1]=>11001011=>4 [4,8,1,5,7,2,3,6]=>[5,1,8,4,2,7,6,3]=>[1,2,1,2,1,1]=>11011011=>4 [4,2,8,3,7,1,5,6]=>[5,7,1,6,2,8,4,3]=>[2,2,2,1,1]=>10101011=>6 [4,1,7,5,8,2,3,6]=>[5,8,2,4,1,7,6,3]=>[2,2,2,1,1]=>10101011=>6 [8,1,2,7,3,4,5,6]=>[1,8,7,2,6,5,4,3]=>[2,1,2,1,1,1]=>10110111=>4 [3,6,2,7,1,8,4,5]=>[6,3,7,2,8,1,5,4]=>[1,2,2,2,1]=>11010101=>6 [6,3,7,1,2,8,4,5]=>[3,6,2,8,7,1,5,4]=>[2,2,1,2,1]=>10101101=>6 [7,2,6,1,8,3,4,5]=>[2,7,3,8,1,6,5,4]=>[2,2,2,1,1]=>10101011=>6 [8,2,6,1,7,3,4,5]=>[1,7,3,8,2,6,5,4]=>[2,2,2,1,1]=>10101011=>6 [7,3,1,5,8,2,4,6]=>[2,6,8,4,1,7,5,3]=>[3,1,2,1,1]=>10011011=>4 [3,2,1,5,8,4,6,7]=>[6,7,8,4,1,5,3,2]=>[3,1,2,1,1]=>10011011=>4 [1,5,3,4,6,8,2,7]=>[8,4,6,5,3,1,7,2]=>[1,2,1,1,2,1]=>11011101=>4 [4,3,5,1,6,8,2,7]=>[5,6,4,8,3,1,7,2]=>[2,2,1,2,1]=>10101101=>6 [5,4,6,3,8,7,1,2]=>[4,5,3,6,1,2,8,7]=>[2,2,3,1]=>10101001=>6 [3,6,4,5,8,7,1,2]=>[6,3,5,4,1,2,8,7]=>[1,2,1,3,1]=>11011001=>4 [6,5,3,4,8,7,1,2]=>[3,4,6,5,1,2,8,7]=>[3,1,3,1]=>10011001=>4 [5,3,2,8,7,1,4,6]=>[4,6,7,1,2,8,5,3]=>[3,3,1,1]=>10010011=>4 [5,3,1,8,7,2,4,6]=>[4,6,8,1,2,7,5,3]=>[3,3,1,1]=>10010011=>4 [8,5,3,7,6,1,2,4]=>[1,4,6,2,3,8,7,5]=>[3,3,1,1]=>10010011=>4 [6,1,8,3,7,2,4,5]=>[3,8,1,6,2,7,5,4]=>[2,2,2,1,1]=>10101011=>6 [6,3,8,1,7,2,4,5]=>[3,6,1,8,2,7,5,4]=>[2,2,2,1,1]=>10101011=>6 [7,6,8,2,3,5,1,4]=>[2,3,1,7,6,4,8,5]=>[2,2,1,2,1]=>10101101=>6 [3,7,8,2,4,6,1,5]=>[6,2,1,7,5,3,8,4]=>[1,1,2,1,2,1]=>11101101=>4 [6,7,3,8,2,5,1,4]=>[3,2,6,1,7,4,8,5]=>[1,2,2,2,1]=>11010101=>6 [5,4,7,8,2,6,1,3]=>[4,5,2,1,7,3,8,6]=>[2,1,2,2,1]=>10110101=>6 [4,2,5,8,7,1,3,6]=>[5,7,4,1,2,8,6,3]=>[2,1,3,1,1]=>10110011=>4 [3,6,2,8,7,1,4,5]=>[6,3,7,1,2,8,5,4]=>[1,2,3,1,1]=>11010011=>4 [3,7,8,1,6,2,4,5]=>[6,2,1,8,3,7,5,4]=>[1,1,2,2,1,1]=>11101011=>4 [2,3,8,7,1,4,5,6]=>[7,6,1,2,8,5,4,3]=>[1,1,3,1,1,1]=>11100111=>2 [7,2,8,6,1,3,4,5]=>[2,7,1,3,8,6,5,4]=>[2,3,1,1,1]=>10100111=>4 [2,1,8,7,3,4,5,6]=>[7,8,1,2,6,5,4,3]=>[2,3,1,1,1]=>10100111=>4 [8,2,7,6,1,3,4,5]=>[1,7,2,3,8,6,5,4]=>[2,3,1,1,1]=>10100111=>4 [1,2,8,7,3,4,5,6]=>[8,7,1,2,6,5,4,3]=>[1,1,3,1,1,1]=>11100111=>2 [1,3,8,7,2,4,5,6]=>[8,6,1,2,7,5,4,3]=>[1,1,3,1,1,1]=>11100111=>2 [1,7,8,3,6,2,4,5]=>[8,2,1,6,3,7,5,4]=>[1,1,2,2,1,1]=>11101011=>4 [4,1,5,8,7,2,3,6]=>[5,8,4,1,2,7,6,3]=>[2,1,3,1,1]=>10110011=>4 [5,4,8,7,6,1,2,3]=>[4,5,1,2,3,8,7,6]=>[2,4,1,1]=>10100011=>4 [6,8,3,7,5,1,2,4]=>[3,1,6,2,4,8,7,5]=>[1,2,3,1,1]=>11010011=>4 [7,8,6,2,5,1,3,4]=>[2,1,3,7,4,8,6,5]=>[1,3,2,1,1]=>11001011=>4 [8,1,6,7,3,2,5,4]=>[1,8,3,2,6,7,4,5]=>[2,1,3,2]=>10110010=>5 [8,1,6,7,3,2,4,5]=>[1,8,3,2,6,7,5,4]=>[2,1,3,1,1]=>10110011=>4 [8,1,5,3,7,2,4,6]=>[1,8,4,6,2,7,5,3]=>[2,2,2,1,1]=>10101011=>6 [8,1,5,3,6,2,4,7]=>[1,8,4,6,3,7,5,2]=>[2,2,2,1,1]=>10101011=>6 [7,5,1,3,6,2,4,8]=>[2,4,8,6,3,7,5,1]=>[3,1,2,1,1]=>10011011=>4 [7,5,8,3,6,2,4,1]=>[2,4,1,6,3,7,5,8]=>[2,2,2,2]=>10101010=>7 [7,4,8,3,2,6,5,1]=>[2,5,1,6,7,3,4,8]=>[2,3,3]=>10100100=>5 [7,4,1,3,2,6,5,8]=>[2,5,8,6,7,3,4,1]=>[3,2,2,1]=>10010101=>6 [8,1,4,3,2,6,5,7]=>[1,8,5,6,7,3,4,2]=>[2,3,2,1]=>10100101=>6 [8,1,4,3,2,7,5,6]=>[1,8,5,6,7,2,4,3]=>[2,3,2,1]=>10100101=>6 [8,1,4,3,2,7,6,5]=>[1,8,5,6,7,2,3,4]=>[2,3,3]=>10100100=>5 [8,1,5,4,6,7,2,3]=>[1,8,4,5,3,2,7,6]=>[2,2,1,2,1]=>10101101=>6 [8,1,5,3,6,2,7,4]=>[1,8,4,6,3,7,2,5]=>[2,2,2,2]=>10101010=>7 [8,1,4,3,2,6,7,5]=>[1,8,5,6,7,3,2,4]=>[2,3,1,2]=>10100110=>5 [8,1,4,3,2,5,7,6]=>[1,8,5,6,7,4,2,3]=>[2,3,1,2]=>10100110=>5 [8,1,4,3,2,5,6,7]=>[1,8,5,6,7,4,3,2]=>[2,3,1,1,1]=>10100111=>4 [7,4,1,3,2,5,6,8]=>[2,5,8,6,7,4,3,1]=>[3,2,1,1,1]=>10010111=>4 [7,4,8,3,2,5,6,1]=>[2,5,1,6,7,4,3,8]=>[2,3,1,2]=>10100110=>5 [6,4,3,8,2,5,7,1]=>[3,5,6,1,7,4,2,8]=>[3,2,1,2]=>10010110=>5 [6,4,3,1,2,5,8,7]=>[3,5,6,8,7,4,1,2]=>[4,1,1,2]=>10001110=>3 [7,4,1,3,2,5,8,6]=>[2,5,8,6,7,4,1,3]=>[3,2,1,2]=>10010110=>5 [7,4,1,3,2,6,8,5]=>[2,5,8,6,7,3,1,4]=>[3,2,1,2]=>10010110=>5 [7,5,1,3,6,2,8,4]=>[2,4,8,6,3,7,1,5]=>[3,1,2,2]=>10011010=>5 [7,5,1,4,6,8,2,3]=>[2,4,8,5,3,1,7,6]=>[3,1,1,2,1]=>10011101=>4 [7,5,8,3,6,2,1,4]=>[2,4,1,6,3,7,8,5]=>[2,2,3,1]=>10101001=>6 [7,4,8,3,2,6,1,5]=>[2,5,1,6,7,3,8,4]=>[2,3,2,1]=>10100101=>6 [7,4,8,3,2,5,1,6]=>[2,5,1,6,7,4,8,3]=>[2,3,2,1]=>10100101=>6 [6,4,3,8,2,5,1,7]=>[3,5,6,1,7,4,8,2]=>[3,2,2,1]=>10010101=>6 [6,4,3,7,2,5,8,1]=>[3,5,6,2,7,4,1,8]=>[3,2,1,2]=>10010110=>5 [5,4,3,2,8,6,1,7]=>[4,5,6,7,1,3,8,2]=>[4,3,1]=>10001001=>4 [5,4,3,2,8,7,1,6]=>[4,5,6,7,1,2,8,3]=>[4,3,1]=>10001001=>4 [6,5,3,8,7,2,1,4]=>[3,4,6,1,2,7,8,5]=>[3,4,1]=>10010001=>4 [6,5,4,8,7,1,2,3]=>[3,4,5,1,2,8,7,6]=>[3,3,1,1]=>10010011=>4 [6,5,4,1,7,8,2,3]=>[3,4,5,8,2,1,7,6]=>[4,1,2,1]=>10001101=>4 [6,5,3,1,7,2,8,4]=>[3,4,6,8,2,7,1,5]=>[4,2,2]=>10001010=>5 [6,4,3,1,2,7,8,5]=>[3,5,6,8,7,2,1,4]=>[4,1,1,2]=>10001110=>3 [5,4,3,2,1,8,6,7]=>[4,5,6,7,8,1,3,2]=>[5,2,1]=>10000101=>4 [6,5,3,1,8,2,7,4]=>[3,4,6,8,1,7,2,5]=>[4,2,2]=>10001010=>5 [6,5,4,1,8,7,2,3]=>[3,4,5,8,1,2,7,6]=>[4,3,1]=>10001001=>4 [7,5,1,4,8,6,2,3]=>[2,4,8,5,1,3,7,6]=>[3,1,3,1]=>10011001=>4 [7,4,1,3,2,8,6,5]=>[2,5,8,6,7,1,3,4]=>[3,2,3]=>10010100=>5 [7,4,1,3,2,8,5,6]=>[2,5,8,6,7,1,4,3]=>[3,2,2,1]=>10010101=>6 [6,4,3,1,2,8,5,7]=>[3,5,6,8,7,1,4,2]=>[4,1,2,1]=>10001101=>4 [6,4,3,1,2,7,5,8]=>[3,5,6,8,7,2,4,1]=>[4,1,2,1]=>10001101=>4 [6,4,3,8,2,7,5,1]=>[3,5,6,1,7,2,4,8]=>[3,2,3]=>10010100=>5 [6,5,3,8,7,2,4,1]=>[3,4,6,1,2,7,5,8]=>[3,3,2]=>10010010=>5 [6,5,3,1,7,2,4,8]=>[3,4,6,8,2,7,5,1]=>[4,2,1,1]=>10001011=>4 [6,5,3,1,8,2,4,7]=>[3,4,6,8,1,7,5,2]=>[4,2,1,1]=>10001011=>4 [7,5,1,3,8,2,4,6]=>[2,4,8,6,1,7,5,3]=>[3,1,2,1,1]=>10011011=>4 [7,6,1,8,3,2,4,5]=>[2,3,8,1,6,7,5,4]=>[3,3,1,1]=>10010011=>4 [7,6,1,8,4,5,2,3]=>[2,3,8,1,5,4,7,6]=>[3,2,2,1]=>10010101=>6 [7,6,8,1,4,5,2,3]=>[2,3,1,8,5,4,7,6]=>[2,2,1,2,1]=>10101101=>6 [7,6,8,1,3,2,5,4]=>[2,3,1,8,6,7,4,5]=>[2,2,2,2]=>10101010=>7 [6,5,3,7,8,2,4,1]=>[3,4,6,2,1,7,5,8]=>[3,1,2,2]=>10011010=>5 [6,4,3,7,2,8,5,1]=>[3,5,6,2,7,1,4,8]=>[3,2,3]=>10010100=>5 [6,4,3,7,2,1,5,8]=>[3,5,6,2,7,8,4,1]=>[3,3,1,1]=>10010011=>4 [7,4,8,3,2,1,5,6]=>[2,5,1,6,7,8,4,3]=>[2,4,1,1]=>10100011=>4 [7,4,8,3,2,1,6,5]=>[2,5,1,6,7,8,3,4]=>[2,4,2]=>10100010=>5 [7,5,8,3,1,2,6,4]=>[2,4,1,6,8,7,3,5]=>[2,3,1,2]=>10100110=>5 [7,5,8,4,1,6,2,3]=>[2,4,1,5,8,3,7,6]=>[2,3,2,1]=>10100101=>6 [6,5,4,8,1,7,2,3]=>[3,4,5,1,8,2,7,6]=>[3,2,2,1]=>10010101=>6 [6,5,3,8,1,2,7,4]=>[3,4,6,1,8,7,2,5]=>[3,2,1,2]=>10010110=>5 [5,4,3,2,8,1,7,6]=>[4,5,6,7,1,8,2,3]=>[4,2,2]=>10001010=>5 [6,4,3,7,2,1,8,5]=>[3,5,6,2,7,8,1,4]=>[3,3,2]=>10010010=>5 [6,5,3,7,1,2,8,4]=>[3,4,6,2,8,7,1,5]=>[3,2,1,2]=>10010110=>5 [6,5,4,7,1,8,2,3]=>[3,4,5,2,8,1,7,6]=>[3,2,2,1]=>10010101=>6 [6,5,3,7,8,2,1,4]=>[3,4,6,2,1,7,8,5]=>[3,1,3,1]=>10011001=>4 [6,4,3,7,2,8,1,5]=>[3,5,6,2,7,1,8,4]=>[3,2,2,1]=>10010101=>6 [5,4,3,2,7,8,1,6]=>[4,5,6,7,2,1,8,3]=>[4,1,2,1]=>10001101=>4 [5,4,3,2,6,8,1,7]=>[4,5,6,7,3,1,8,2]=>[4,1,2,1]=>10001101=>4 [5,6,2,1,3,4,8,7]=>[4,3,7,8,6,5,1,2]=>[1,3,1,1,2]=>11001110=>3 [5,8,2,7,4,1,3,6]=>[4,1,7,2,5,8,6,3]=>[1,2,3,1,1]=>11010011=>4 [5,3,7,8,2,1,4,6]=>[4,6,2,1,7,8,5,3]=>[2,1,3,1,1]=>10110011=>4 [7,6,1,2,5,8,3,4]=>[2,3,8,7,4,1,6,5]=>[3,1,1,2,1]=>10011101=>4 [2,1,7,8,4,3,5,6]=>[7,8,2,1,5,6,4,3]=>[2,1,3,1,1]=>10110011=>4 [8,3,7,4,1,5,6,2]=>[1,6,2,5,8,4,3,7]=>[2,3,1,2]=>10100110=>5 [7,8,1,2,5,4,6,3]=>[2,1,8,7,4,5,3,6]=>[1,2,1,2,2]=>11011010=>5 [2,6,8,3,1,4,7,5]=>[7,3,1,6,8,5,2,4]=>[1,1,3,1,2]=>11100110=>3 [6,1,8,3,2,4,5,7]=>[3,8,1,6,7,5,4,2]=>[2,3,1,1,1]=>10100111=>4 [8,4,1,3,7,6,2,5]=>[1,5,8,6,2,3,7,4]=>[3,1,3,1]=>10011001=>4 [5,8,7,4,2,1,6,3]=>[4,1,2,5,7,8,3,6]=>[1,5,2]=>11000010=>3 [7,5,1,6,8,3,4,2]=>[2,4,8,3,1,6,5,7]=>[3,1,2,2]=>10011010=>5 [6,5,2,1,8,7,4,3]=>[3,4,7,8,1,2,5,6]=>[4,4]=>10001000=>3 [4,7,2,8,1,3,6,5]=>[5,2,7,1,8,6,3,4]=>[1,2,2,1,2]=>11010110=>5 [7,3,8,6,1,2,5,4]=>[2,6,1,3,8,7,4,5]=>[2,3,1,2]=>10100110=>5 [3,4,7,1,8,2,6,5]=>[6,5,2,8,1,7,3,4]=>[1,1,2,2,2]=>11101010=>5 [1,8,2,4,3,5,6,7]=>[8,1,7,5,6,4,3,2]=>[1,2,2,1,1,1]=>11010111=>4 [1,7,2,4,3,5,6,8]=>[8,2,7,5,6,4,3,1]=>[1,2,2,1,1,1]=>11010111=>4 [1,6,2,4,3,5,7,8]=>[8,3,7,5,6,4,2,1]=>[1,2,2,1,1,1]=>11010111=>4 [1,5,2,4,3,6,7,8]=>[8,4,7,5,6,3,2,1]=>[1,2,2,1,1,1]=>11010111=>4 [1,6,2,5,3,4,7,8]=>[8,3,7,4,6,5,2,1]=>[1,2,2,1,1,1]=>11010111=>4 [1,7,2,5,3,4,6,8]=>[8,2,7,4,6,5,3,1]=>[1,2,2,1,1,1]=>11010111=>4 [1,8,2,5,3,4,6,7]=>[8,1,7,4,6,5,3,2]=>[1,2,2,1,1,1]=>11010111=>4 [1,8,2,6,3,4,5,7]=>[8,1,7,3,6,5,4,2]=>[1,2,2,1,1,1]=>11010111=>4 [1,7,2,6,3,4,5,8]=>[8,2,7,3,6,5,4,1]=>[1,2,2,1,1,1]=>11010111=>4 [1,8,2,7,3,5,4,6]=>[8,1,7,2,6,4,5,3]=>[1,2,2,2,1]=>11010101=>6 [1,7,2,8,3,5,4,6]=>[8,2,7,1,6,4,5,3]=>[1,2,2,2,1]=>11010101=>6 [1,6,2,8,3,5,4,7]=>[8,3,7,1,6,4,5,2]=>[1,2,2,2,1]=>11010101=>6 [1,5,2,8,3,6,4,7]=>[8,4,7,1,6,3,5,2]=>[1,2,2,2,1]=>11010101=>6 [1,4,2,8,3,6,5,7]=>[8,5,7,1,6,3,4,2]=>[1,2,2,2,1]=>11010101=>6 [1,3,2,8,4,6,5,7]=>[8,6,7,1,5,3,4,2]=>[1,2,2,2,1]=>11010101=>6 [1,2,3,8,4,6,5,7]=>[8,7,6,1,5,3,4,2]=>[1,1,1,2,2,1]=>11110101=>4 [1,2,3,7,4,6,5,8]=>[8,7,6,2,5,3,4,1]=>[1,1,1,2,2,1]=>11110101=>4 [1,3,2,7,4,6,5,8]=>[8,6,7,2,5,3,4,1]=>[1,2,2,2,1]=>11010101=>6 [1,4,2,7,3,6,5,8]=>[8,5,7,2,6,3,4,1]=>[1,2,2,2,1]=>11010101=>6 [1,5,2,7,3,6,4,8]=>[8,4,7,2,6,3,5,1]=>[1,2,2,2,1]=>11010101=>6 [1,6,2,7,3,5,4,8]=>[8,3,7,2,6,4,5,1]=>[1,2,2,2,1]=>11010101=>6 [1,7,2,6,3,5,4,8]=>[8,2,7,3,6,4,5,1]=>[1,2,2,2,1]=>11010101=>6 [1,8,2,6,3,5,4,7]=>[8,1,7,3,6,4,5,2]=>[1,2,2,2,1]=>11010101=>6 [1,8,2,5,3,6,4,7]=>[8,1,7,4,6,3,5,2]=>[1,2,2,2,1]=>11010101=>6 [1,7,2,5,3,6,4,8]=>[8,2,7,4,6,3,5,1]=>[1,2,2,2,1]=>11010101=>6 [1,6,2,5,3,7,4,8]=>[8,3,7,4,6,2,5,1]=>[1,2,2,2,1]=>11010101=>6 [1,5,2,4,3,7,6,8]=>[8,4,7,5,6,2,3,1]=>[1,2,2,2,1]=>11010101=>6 [1,6,2,4,3,7,5,8]=>[8,3,7,5,6,2,4,1]=>[1,2,2,2,1]=>11010101=>6 [1,7,2,4,3,6,5,8]=>[8,2,7,5,6,3,4,1]=>[1,2,2,2,1]=>11010101=>6 [1,8,2,4,3,6,5,7]=>[8,1,7,5,6,3,4,2]=>[1,2,2,2,1]=>11010101=>6 [1,8,2,3,4,6,5,7]=>[8,1,7,6,5,3,4,2]=>[1,2,1,1,2,1]=>11011101=>4 [1,7,2,3,4,6,5,8]=>[8,2,7,6,5,3,4,1]=>[1,2,1,1,2,1]=>11011101=>4 [1,8,2,3,4,7,5,6]=>[8,1,7,6,5,2,4,3]=>[1,2,1,1,2,1]=>11011101=>4 [1,8,2,4,3,7,5,6]=>[8,1,7,5,6,2,4,3]=>[1,2,2,2,1]=>11010101=>6 [1,7,2,4,3,8,5,6]=>[8,2,7,5,6,1,4,3]=>[1,2,2,2,1]=>11010101=>6 [1,6,2,4,3,8,5,7]=>[8,3,7,5,6,1,4,2]=>[1,2,2,2,1]=>11010101=>6 [1,5,2,4,3,8,6,7]=>[8,4,7,5,6,1,3,2]=>[1,2,2,2,1]=>11010101=>6 [1,6,2,5,3,8,4,7]=>[8,3,7,4,6,1,5,2]=>[1,2,2,2,1]=>11010101=>6 [1,7,2,5,3,8,4,6]=>[8,2,7,4,6,1,5,3]=>[1,2,2,2,1]=>11010101=>6 [1,8,2,5,3,7,4,6]=>[8,1,7,4,6,2,5,3]=>[1,2,2,2,1]=>11010101=>6 [1,8,2,6,3,7,4,5]=>[8,1,7,3,6,2,5,4]=>[1,2,2,2,1]=>11010101=>6 [1,7,2,6,3,8,4,5]=>[8,2,7,3,6,1,5,4]=>[1,2,2,2,1]=>11010101=>6 [1,2,3,8,4,7,5,6]=>[8,7,6,1,5,2,4,3]=>[1,1,1,2,2,1]=>11110101=>4 [1,3,2,8,4,7,5,6]=>[8,6,7,1,5,2,4,3]=>[1,2,2,2,1]=>11010101=>6 [1,4,2,8,3,7,5,6]=>[8,5,7,1,6,2,4,3]=>[1,2,2,2,1]=>11010101=>6 [1,5,2,8,3,7,4,6]=>[8,4,7,1,6,2,5,3]=>[1,2,2,2,1]=>11010101=>6 [1,6,2,8,3,7,4,5]=>[8,3,7,1,6,2,5,4]=>[1,2,2,2,1]=>11010101=>6 [1,7,2,8,3,6,4,5]=>[8,2,7,1,6,3,5,4]=>[1,2,2,2,1]=>11010101=>6 [1,8,2,7,3,6,4,5]=>[8,1,7,2,6,3,5,4]=>[1,2,2,2,1]=>11010101=>6 [4,6,3,7,2,5,1,8]=>[5,3,6,2,7,4,8,1]=>[1,2,2,2,1]=>11010101=>6 [4,6,3,7,5,2,1,8]=>[5,3,6,2,4,7,8,1]=>[1,2,4,1]=>11010001=>4 [4,6,3,8,5,1,7,2]=>[5,3,6,1,4,8,2,7]=>[1,2,3,2]=>11010010=>5 [4,6,3,8,5,1,2,7]=>[5,3,6,1,4,8,7,2]=>[1,2,3,1,1]=>11010011=>4 [5,6,8,3,4,1,2,7]=>[4,3,1,6,5,8,7,2]=>[1,1,2,2,1,1]=>11101011=>4 [5,6,8,3,4,1,7,2]=>[4,3,1,6,5,8,2,7]=>[1,1,2,2,2]=>11101010=>5 [4,6,2,7,5,3,1,8]=>[5,3,7,2,4,6,8,1]=>[1,2,4,1]=>11010001=>4 [5,6,7,2,4,3,1,8]=>[4,3,2,7,5,6,8,1]=>[1,1,2,3,1]=>11101001=>4 [5,6,8,4,3,1,7,2]=>[4,3,1,5,6,8,2,7]=>[1,1,4,2]=>11100010=>3 [5,6,8,4,3,1,2,7]=>[4,3,1,5,6,8,7,2]=>[1,1,4,1,1]=>11100011=>2 [5,7,8,4,1,6,2,3]=>[4,2,1,5,8,3,7,6]=>[1,1,3,2,1]=>11100101=>4 [5,7,8,4,1,6,3,2]=>[4,2,1,5,8,3,6,7]=>[1,1,3,3]=>11100100=>3 [5,7,8,4,1,3,6,2]=>[4,2,1,5,8,6,3,7]=>[1,1,3,1,2]=>11100110=>3 [5,6,8,4,2,1,7,3]=>[4,3,1,5,7,8,2,6]=>[1,1,4,2]=>11100010=>3 [5,6,8,2,4,1,7,3]=>[4,3,1,7,5,8,2,6]=>[1,1,2,2,2]=>11101010=>5 [4,6,2,8,5,1,7,3]=>[5,3,7,1,4,8,2,6]=>[1,2,3,2]=>11010010=>5 [3,2,6,8,5,1,7,4]=>[6,7,3,1,4,8,2,5]=>[2,1,3,2]=>10110010=>5 [3,2,6,8,5,1,4,7]=>[6,7,3,1,4,8,5,2]=>[2,1,3,1,1]=>10110011=>4 [4,6,2,8,5,1,3,7]=>[5,3,7,1,4,8,6,2]=>[1,2,3,1,1]=>11010011=>4 [5,6,8,2,4,1,3,7]=>[4,3,1,7,5,8,6,2]=>[1,1,2,2,1,1]=>11101011=>4 [5,6,8,4,2,1,3,7]=>[4,3,1,5,7,8,6,2]=>[1,1,4,1,1]=>11100011=>2 [5,7,8,4,1,3,2,6]=>[4,2,1,5,8,6,7,3]=>[1,1,3,2,1]=>11100101=>4 [5,7,8,4,1,2,6,3]=>[4,2,1,5,8,7,3,6]=>[1,1,3,1,2]=>11100110=>3 [5,7,8,4,1,2,3,6]=>[4,2,1,5,8,7,6,3]=>[1,1,3,1,1,1]=>11100111=>2 [6,7,8,1,5,2,3,4]=>[3,2,1,8,4,7,6,5]=>[1,1,2,2,1,1]=>11101011=>4 [6,7,8,1,5,2,4,3]=>[3,2,1,8,4,7,5,6]=>[1,1,2,2,2]=>11101010=>5 [6,7,8,1,5,3,2,4]=>[3,2,1,8,4,6,7,5]=>[1,1,2,3,1]=>11101001=>4 [6,7,8,1,3,5,2,4]=>[3,2,1,8,6,4,7,5]=>[1,1,2,1,2,1]=>11101101=>4 [5,7,8,2,1,6,3,4]=>[4,2,1,7,8,3,6,5]=>[1,1,3,2,1]=>11100101=>4 [4,7,2,8,1,6,3,5]=>[5,2,7,1,8,3,6,4]=>[1,2,2,2,1]=>11010101=>6 [3,2,7,8,1,6,4,5]=>[6,7,2,1,8,3,5,4]=>[2,1,2,2,1]=>10110101=>6 [3,2,7,8,1,6,5,4]=>[6,7,2,1,8,3,4,5]=>[2,1,2,3]=>10110100=>5 [4,7,2,8,1,6,5,3]=>[5,2,7,1,8,3,4,6]=>[1,2,2,3]=>11010100=>5 [5,7,8,2,1,6,4,3]=>[4,2,1,7,8,3,5,6]=>[1,1,3,3]=>11100100=>3 [6,7,8,1,3,5,4,2]=>[3,2,1,8,6,4,5,7]=>[1,1,2,1,3]=>11101100=>3 [6,7,8,1,5,3,4,2]=>[3,2,1,8,4,6,5,7]=>[1,1,2,2,2]=>11101010=>5 [6,7,8,1,5,4,3,2]=>[3,2,1,8,4,5,6,7]=>[1,1,2,4]=>11101000=>3 [6,7,8,1,5,4,2,3]=>[3,2,1,8,4,5,7,6]=>[1,1,2,3,1]=>11101001=>4 [6,7,8,1,4,5,2,3]=>[3,2,1,8,5,4,7,6]=>[1,1,2,1,2,1]=>11101101=>4 [6,7,8,1,4,5,3,2]=>[3,2,1,8,5,4,6,7]=>[1,1,2,1,3]=>11101100=>3 [6,7,8,1,4,3,5,2]=>[3,2,1,8,5,6,4,7]=>[1,1,2,2,2]=>11101010=>5 [6,7,8,1,3,4,5,2]=>[3,2,1,8,6,5,4,7]=>[1,1,2,1,1,2]=>11101110=>3 [5,7,8,2,1,4,6,3]=>[4,2,1,7,8,5,3,6]=>[1,1,3,1,2]=>11100110=>3 [4,7,2,8,1,5,6,3]=>[5,2,7,1,8,4,3,6]=>[1,2,2,1,2]=>11010110=>5 [3,2,7,8,1,5,6,4]=>[6,7,2,1,8,4,3,5]=>[2,1,2,1,2]=>10110110=>5 [3,2,6,8,4,1,7,5]=>[6,7,3,1,5,8,2,4]=>[2,1,3,2]=>10110010=>5 [4,6,2,8,3,1,7,5]=>[5,3,7,1,6,8,2,4]=>[1,2,3,2]=>11010010=>5 [5,6,8,3,2,1,7,4]=>[4,3,1,6,7,8,2,5]=>[1,1,4,2]=>11100010=>3 [5,7,8,3,1,4,6,2]=>[4,2,1,6,8,5,3,7]=>[1,1,3,1,2]=>11100110=>3 [5,7,8,3,1,6,4,2]=>[4,2,1,6,8,3,5,7]=>[1,1,3,3]=>11100100=>3 [5,7,8,3,1,6,2,4]=>[4,2,1,6,8,3,7,5]=>[1,1,3,2,1]=>11100101=>4 [4,7,3,8,1,6,2,5]=>[5,2,6,1,8,3,7,4]=>[1,2,2,2,1]=>11010101=>6 [4,7,3,8,1,6,5,2]=>[5,2,6,1,8,3,4,7]=>[1,2,2,3]=>11010100=>5 [4,7,3,8,1,5,6,2]=>[5,2,6,1,8,4,3,7]=>[1,2,2,1,2]=>11010110=>5 [4,6,3,8,2,1,7,5]=>[5,3,6,1,7,8,2,4]=>[1,2,3,2]=>11010010=>5 [4,5,3,2,8,1,7,6]=>[5,4,6,7,1,8,2,3]=>[1,3,2,2]=>11001010=>5 [4,5,2,3,8,1,7,6]=>[5,4,7,6,1,8,2,3]=>[1,2,1,2,2]=>11011010=>5 [3,2,5,4,8,1,7,6]=>[6,7,4,5,1,8,2,3]=>[2,2,2,2]=>10101010=>7 [4,5,3,2,8,1,6,7]=>[5,4,6,7,1,8,3,2]=>[1,3,2,1,1]=>11001011=>4 [4,6,3,8,2,1,5,7]=>[5,3,6,1,7,8,4,2]=>[1,2,3,1,1]=>11010011=>4 [4,7,3,8,1,5,2,6]=>[5,2,6,1,8,4,7,3]=>[1,2,2,2,1]=>11010101=>6 [4,7,3,8,1,2,6,5]=>[5,2,6,1,8,7,3,4]=>[1,2,2,1,2]=>11010110=>5 [4,7,3,8,1,2,5,6]=>[5,2,6,1,8,7,4,3]=>[1,2,2,1,1,1]=>11010111=>4 [5,7,8,3,1,2,4,6]=>[4,2,1,6,8,7,5,3]=>[1,1,3,1,1,1]=>11100111=>2 [5,7,8,3,1,2,6,4]=>[4,2,1,6,8,7,3,5]=>[1,1,3,1,2]=>11100110=>3 [5,7,8,3,1,4,2,6]=>[4,2,1,6,8,5,7,3]=>[1,1,3,2,1]=>11100101=>4 [5,6,8,3,2,1,4,7]=>[4,3,1,6,7,8,5,2]=>[1,1,4,1,1]=>11100011=>2 [3,2,7,8,1,5,4,6]=>[6,7,2,1,8,4,5,3]=>[2,1,2,2,1]=>10110101=>6 [5,7,8,2,1,4,3,6]=>[4,2,1,7,8,5,6,3]=>[1,1,3,2,1]=>11100101=>4 [6,7,8,1,3,4,2,5]=>[3,2,1,8,6,5,7,4]=>[1,1,2,1,2,1]=>11101101=>4 [6,7,8,1,4,3,2,5]=>[3,2,1,8,5,6,7,4]=>[1,1,2,3,1]=>11101001=>4 [6,7,8,1,4,2,5,3]=>[3,2,1,8,5,7,4,6]=>[1,1,2,2,2]=>11101010=>5 [6,7,8,1,4,2,3,5]=>[3,2,1,8,5,7,6,4]=>[1,1,2,2,1,1]=>11101011=>4 [6,7,8,1,2,5,3,4]=>[3,2,1,8,7,4,6,5]=>[1,1,2,1,2,1]=>11101101=>4 [6,7,8,1,2,5,4,3]=>[3,2,1,8,7,4,5,6]=>[1,1,2,1,3]=>11101100=>3 [6,7,8,1,2,4,5,3]=>[3,2,1,8,7,5,4,6]=>[1,1,2,1,1,2]=>11101110=>3 [6,7,8,1,3,2,5,4]=>[3,2,1,8,6,7,4,5]=>[1,1,2,2,2]=>11101010=>5 [5,7,8,2,1,3,6,4]=>[4,2,1,7,8,6,3,5]=>[1,1,3,1,2]=>11100110=>3 [3,2,7,8,1,4,6,5]=>[6,7,2,1,8,5,3,4]=>[2,1,2,1,2]=>10110110=>5 [6,7,8,1,3,2,4,5]=>[3,2,1,8,6,7,5,4]=>[1,1,2,2,1,1]=>11101011=>4 [6,7,8,1,2,4,3,5]=>[3,2,1,8,7,5,6,4]=>[1,1,2,1,2,1]=>11101101=>4 [6,7,8,1,2,3,5,4]=>[3,2,1,8,7,6,4,5]=>[1,1,2,1,1,2]=>11101110=>3 [7,2,8,5,1,6,4,3]=>[2,7,1,4,8,3,5,6]=>[2,3,3]=>10100100=>5 [1,3,7,5,2,6,4,8]=>[8,6,2,4,7,3,5,1]=>[1,1,3,2,1]=>11100101=>4 [1,3,7,5,4,2,6,8]=>[8,6,2,4,5,7,3,1]=>[1,1,4,1,1]=>11100011=>2 [7,2,8,5,4,1,6,3]=>[2,7,1,4,5,8,3,6]=>[2,4,2]=>10100010=>5 [2,8,5,4,3,1,7,6]=>[7,1,4,5,6,8,2,3]=>[1,5,2]=>11000010=>3 [2,8,4,5,6,1,7,3]=>[7,1,5,4,3,8,2,6]=>[1,2,1,2,2]=>11011010=>5 [2,8,6,5,7,3,1,4]=>[7,1,3,4,2,6,8,5]=>[1,3,3,1]=>11001001=>4 [2,8,4,5,3,7,1,6]=>[7,1,5,4,6,2,8,3]=>[1,2,2,2,1]=>11010101=>6 [2,8,4,3,5,6,1,7]=>[7,1,5,6,4,3,8,2]=>[1,3,1,2,1]=>11001101=>4 [7,2,8,4,5,6,1,3]=>[2,7,1,5,4,3,8,6]=>[2,2,1,2,1]=>10101101=>6 [1,6,3,7,5,2,4,8]=>[8,3,6,2,4,7,5,1]=>[1,2,3,1,1]=>11010011=>4 [6,2,3,8,5,1,7,4]=>[3,7,6,1,4,8,2,5]=>[2,1,3,2]=>10110010=>5 [6,3,2,8,5,1,4,7]=>[3,6,7,1,4,8,5,2]=>[3,3,1,1]=>10010011=>4 [7,4,8,2,5,6,3,1]=>[2,5,1,7,4,3,6,8]=>[2,2,1,3]=>10101100=>5 [7,4,8,5,2,1,3,6]=>[2,5,1,4,7,8,6,3]=>[2,4,1,1]=>10100011=>4 [6,4,8,5,1,3,7,2]=>[3,5,1,4,8,6,2,7]=>[2,3,1,2]=>10100110=>5 [6,3,7,5,2,1,8,4]=>[3,6,2,4,7,8,1,5]=>[2,4,2]=>10100010=>5 [4,3,7,5,1,2,8,6]=>[5,6,2,4,8,7,1,3]=>[2,3,1,2]=>10100110=>5 [4,3,7,1,5,6,8,2]=>[5,6,2,8,4,3,1,7]=>[2,2,1,1,2]=>10101110=>5 [3,6,1,7,5,2,8,4]=>[6,3,8,2,4,7,1,5]=>[1,2,3,2]=>11010010=>5 [3,4,1,2,7,6,8,5]=>[6,5,8,7,2,3,1,4]=>[1,2,1,2,2]=>11011010=>5 [3,4,2,1,7,5,8,6]=>[6,5,7,8,2,4,1,3]=>[1,3,2,2]=>11001010=>5 [3,6,5,7,1,4,8,2]=>[6,3,4,2,8,5,1,7]=>[1,2,2,1,2]=>11010110=>5 [6,5,2,7,4,1,8,3]=>[3,4,7,2,5,8,1,6]=>[3,3,2]=>10010010=>5 [3,5,2,6,4,8,7,1]=>[6,4,7,3,5,1,2,8]=>[1,2,2,3]=>11010100=>5 [5,3,1,8,6,4,7,2]=>[4,6,8,1,3,5,2,7]=>[3,3,2]=>10010010=>5 [5,6,1,8,7,2,4,3]=>[4,3,8,1,2,7,5,6]=>[1,2,3,2]=>11010010=>5 [6,3,5,8,2,7,4,1]=>[3,6,4,1,7,2,5,8]=>[2,1,2,3]=>10110100=>5 [6,5,8,4,2,3,7,1]=>[3,4,1,5,7,6,2,8]=>[2,3,1,2]=>10100110=>5 [6,2,5,8,3,7,1,4]=>[3,7,4,1,6,2,8,5]=>[2,1,2,2,1]=>10110101=>6 [1,6,5,7,3,4,2,8]=>[8,3,4,2,6,5,7,1]=>[1,2,2,2,1]=>11010101=>6 [1,5,2,7,4,6,3,8]=>[8,4,7,2,5,3,6,1]=>[1,2,2,2,1]=>11010101=>6 [5,2,1,8,7,6,3,4]=>[4,7,8,1,2,3,6,5]=>[3,4,1]=>10010001=>4 [7,1,3,8,4,6,2,5]=>[2,8,6,1,5,3,7,4]=>[2,1,2,2,1]=>10110101=>6 [2,3,4,8,6,1,7,5]=>[7,6,5,1,3,8,2,4]=>[1,1,1,3,2]=>11110010=>3 [2,3,4,8,6,5,1,7]=>[7,6,5,1,3,4,8,2]=>[1,1,1,4,1]=>11110001=>2 [2,7,3,5,8,6,1,4]=>[7,2,6,4,1,3,8,5]=>[1,2,1,3,1]=>11011001=>4 [3,2,4,7,8,6,1,5]=>[6,7,5,2,1,3,8,4]=>[2,1,1,3,1]=>10111001=>4 [1,5,4,6,2,7,3,8]=>[8,4,5,3,7,2,6,1]=>[1,2,2,2,1]=>11010101=>6 [5,2,4,7,1,8,3,6]=>[4,7,5,2,8,1,6,3]=>[2,1,2,2,1]=>10110101=>6 [5,3,6,4,1,8,7,2]=>[4,6,3,5,8,1,2,7]=>[2,3,3]=>10100100=>5 [5,3,6,1,4,8,2,7]=>[4,6,3,8,5,1,7,2]=>[2,2,1,2,1]=>10101101=>6 [7,3,5,6,8,4,2,1]=>[2,6,4,3,1,5,7,8]=>[2,1,1,4]=>10111000=>3 [6,3,5,1,8,2,7,4]=>[3,6,4,8,1,7,2,5]=>[2,2,2,2]=>10101010=>7 [2,6,1,5,8,4,7,3]=>[7,3,8,4,1,5,2,6]=>[1,2,1,2,2]=>11011010=>5 [2,7,6,5,8,3,4,1]=>[7,2,3,4,1,6,5,8]=>[1,3,2,2]=>11001010=>5 [5,7,1,6,3,8,4,2]=>[4,2,8,3,6,1,5,7]=>[1,2,2,3]=>11010100=>5 [3,2,4,1,7,8,5,6]=>[6,7,5,8,2,1,4,3]=>[2,2,1,2,1]=>10101101=>6 [3,1,4,2,7,8,6,5]=>[6,8,5,7,2,1,3,4]=>[2,2,1,3]=>10101100=>5 [5,1,4,7,2,8,6,3]=>[4,8,5,2,7,1,3,6]=>[2,1,2,3]=>10110100=>5 [3,6,4,7,8,2,5,1]=>[6,3,5,2,1,7,4,8]=>[1,2,1,2,2]=>11011010=>5 [3,1,4,6,8,5,7,2]=>[6,8,5,3,1,4,2,7]=>[2,1,1,2,2]=>10111010=>5 [6,3,4,5,7,1,8,2]=>[3,6,5,4,2,8,1,7]=>[2,1,1,2,2]=>10111010=>5 [2,5,4,6,1,7,8,3]=>[7,4,5,3,8,2,1,6]=>[1,2,2,1,2]=>11010110=>5 [7,2,1,4,3,6,5,8]=>[2,7,8,5,6,3,4,1]=>[3,2,2,1]=>10010101=>6 [7,3,4,1,2,6,5,8]=>[2,6,5,8,7,3,4,1]=>[2,2,1,2,1]=>10101101=>6 [7,4,3,2,1,6,5,8]=>[2,5,6,7,8,3,4,1]=>[5,2,1]=>10000101=>4 [7,6,3,2,5,4,1,8]=>[2,3,6,7,4,5,8,1]=>[4,3,1]=>10001001=>4 [6,7,3,2,5,4,8,1]=>[3,2,6,7,4,5,1,8]=>[1,3,2,2]=>11001010=>5 [1,8,3,2,5,4,7,6]=>[8,1,6,7,4,5,2,3]=>[1,3,2,2]=>11001010=>5 [1,8,4,5,2,3,7,6]=>[8,1,5,4,7,6,2,3]=>[1,2,2,1,2]=>11010110=>5 [7,3,5,1,6,2,4,8]=>[2,6,4,8,3,7,5,1]=>[2,2,2,1,1]=>10101011=>6 [7,2,1,5,6,3,4,8]=>[2,7,8,4,3,6,5,1]=>[3,1,2,1,1]=>10011011=>4 [7,2,1,6,5,4,3,8]=>[2,7,8,3,4,5,6,1]=>[3,4,1]=>10010001=>4 [7,3,6,1,5,4,2,8]=>[2,6,3,8,4,5,7,1]=>[2,2,3,1]=>10101001=>6 [7,4,6,5,1,3,2,8]=>[2,5,3,4,8,6,7,1]=>[2,3,2,1]=>10100101=>6 [1,8,5,4,3,2,7,6]=>[8,1,4,5,6,7,2,3]=>[1,5,2]=>11000010=>3 [1,8,6,4,3,7,2,5]=>[8,1,3,5,6,2,7,4]=>[1,4,2,1]=>11000101=>4 [6,5,7,4,3,1,8,2]=>[3,4,2,5,6,8,1,7]=>[2,4,2]=>10100010=>5 [6,4,7,5,1,3,8,2]=>[3,5,2,4,8,6,1,7]=>[2,3,1,2]=>10100110=>5 [6,3,7,1,5,4,8,2]=>[3,6,2,8,4,5,1,7]=>[2,2,2,2]=>10101010=>7 [6,2,1,7,5,4,8,3]=>[3,7,8,2,4,5,1,6]=>[3,3,2]=>10010010=>5 [3,2,1,8,5,4,7,6]=>[6,7,8,1,4,5,2,3]=>[3,3,2]=>10010010=>5 [2,3,8,1,5,4,7,6]=>[7,6,1,8,4,5,2,3]=>[1,1,2,2,2]=>11101010=>5 [2,4,8,5,1,3,7,6]=>[7,5,1,4,8,6,2,3]=>[1,1,3,1,2]=>11100110=>3 [2,5,8,4,3,1,7,6]=>[7,4,1,5,6,8,2,3]=>[1,1,4,2]=>11100010=>3 [2,6,8,4,3,7,1,5]=>[7,3,1,5,6,2,8,4]=>[1,1,3,2,1]=>11100101=>4 [2,7,8,4,3,6,5,1]=>[7,2,1,5,6,3,4,8]=>[1,1,3,3]=>11100100=>3 [1,8,7,4,3,6,5,2]=>[8,1,2,5,6,3,4,7]=>[1,4,3]=>11000100=>3 [1,8,7,5,6,3,4,2]=>[8,1,2,4,3,6,5,7]=>[1,3,2,2]=>11001010=>5 [2,7,8,5,6,3,4,1]=>[7,2,1,4,3,6,5,8]=>[1,1,2,2,2]=>11101010=>5 [2,6,8,5,7,3,1,4]=>[7,3,1,4,2,6,8,5]=>[1,1,2,3,1]=>11101001=>4 [2,5,8,6,7,1,3,4]=>[7,4,1,3,2,8,6,5]=>[1,1,2,2,1,1]=>11101011=>4 [2,4,8,6,1,7,3,5]=>[7,5,1,3,8,2,6,4]=>[1,1,3,2,1]=>11100101=>4 [3,2,1,8,6,7,4,5]=>[6,7,8,1,3,2,5,4]=>[3,2,2,1]=>10010101=>6 [5,2,1,7,6,8,4,3]=>[4,7,8,2,3,1,5,6]=>[3,2,3]=>10010100=>5 [5,3,7,1,6,8,4,2]=>[4,6,2,8,3,1,5,7]=>[2,2,1,3]=>10101100=>5 [5,4,7,6,1,8,3,2]=>[4,5,2,3,8,1,6,7]=>[2,3,3]=>10100100=>5 [4,5,7,6,8,1,3,2]=>[5,4,2,3,1,8,6,7]=>[1,1,2,2,2]=>11101010=>5 [4,6,7,5,8,3,1,2]=>[5,3,2,4,1,6,8,7]=>[1,1,2,3,1]=>11101001=>4 [1,8,6,5,7,3,2,4]=>[8,1,3,4,2,6,7,5]=>[1,3,3,1]=>11001001=>4 [1,8,5,6,7,2,3,4]=>[8,1,4,3,2,7,6,5]=>[1,2,1,2,1,1]=>11011011=>4 [4,7,5,6,8,2,3,1]=>[5,2,4,3,1,7,6,8]=>[1,2,1,2,2]=>11011010=>5 [4,6,5,7,8,2,1,3]=>[5,3,4,2,1,7,8,6]=>[1,2,1,3,1]=>11011001=>4 [5,4,6,7,1,8,2,3]=>[4,5,3,2,8,1,7,6]=>[2,1,2,2,1]=>10110101=>6 [5,3,6,1,7,8,2,4]=>[4,6,3,8,2,1,7,5]=>[2,2,1,2,1]=>10101101=>6 [5,2,1,6,7,8,3,4]=>[4,7,8,3,2,1,6,5]=>[3,1,1,2,1]=>10011101=>4 [6,2,1,5,7,3,8,4]=>[3,7,8,4,2,6,1,5]=>[3,1,2,2]=>10011010=>5 [6,3,5,1,7,2,8,4]=>[3,6,4,8,2,7,1,5]=>[2,2,2,2]=>10101010=>7 [6,4,5,7,1,2,8,3]=>[3,5,4,2,8,7,1,6]=>[2,1,2,1,2]=>10110110=>5 [6,5,4,7,2,1,8,3]=>[3,4,5,2,7,8,1,6]=>[3,3,2]=>10010010=>5 [5,6,4,7,2,8,1,3]=>[4,3,5,2,7,1,8,6]=>[1,2,2,2,1]=>11010101=>6 [1,8,4,6,2,7,3,5]=>[8,1,5,3,7,2,6,4]=>[1,2,2,2,1]=>11010101=>6 [1,8,3,2,6,7,4,5]=>[8,1,6,7,3,2,5,4]=>[1,3,1,2,1]=>11001101=>4 [5,7,3,2,6,8,4,1]=>[4,2,6,7,3,1,5,8]=>[1,3,1,3]=>11001100=>3 [5,6,3,2,7,8,1,4]=>[4,3,6,7,2,1,8,5]=>[1,3,1,2,1]=>11001101=>4 [6,5,3,2,7,1,8,4]=>[3,4,6,7,2,8,1,5]=>[4,2,2]=>10001010=>5 [6,4,3,2,1,7,8,5]=>[3,5,6,7,8,2,1,4]=>[5,1,2]=>10000110=>3 [6,2,1,4,3,7,8,5]=>[3,7,8,5,6,2,1,4]=>[3,2,1,2]=>10010110=>5 [5,2,1,4,3,8,7,6]=>[4,7,8,5,6,1,2,3]=>[3,2,3]=>10010100=>5 [5,3,4,1,2,8,7,6]=>[4,6,5,8,7,1,2,3]=>[2,2,1,3]=>10101100=>5 [4,6,3,2,8,7,1,5]=>[5,3,6,7,1,2,8,4]=>[1,3,3,1]=>11001001=>4 [4,7,3,2,8,6,5,1]=>[5,2,6,7,1,3,4,8]=>[1,3,4]=>11001000=>3 [1,8,3,2,7,6,5,4]=>[8,1,6,7,2,3,4,5]=>[1,3,4]=>11001000=>3 [1,8,4,7,2,6,5,3]=>[8,1,5,2,7,3,4,6]=>[1,2,2,3]=>11010100=>5 [3,7,4,8,2,6,5,1]=>[6,2,5,1,7,3,4,8]=>[1,2,2,3]=>11010100=>5 [3,6,4,8,2,7,1,5]=>[6,3,5,1,7,2,8,4]=>[1,2,2,2,1]=>11010101=>6 [3,5,4,8,2,1,7,6]=>[6,4,5,1,7,8,2,3]=>[1,2,3,2]=>11010010=>5 [3,4,5,8,1,2,7,6]=>[6,5,4,1,8,7,2,3]=>[1,1,1,2,1,2]=>11110110=>3 [4,3,5,1,8,2,7,6]=>[5,6,4,8,1,7,2,3]=>[2,2,2,2]=>10101010=>7 [4,2,1,5,8,3,7,6]=>[5,7,8,4,1,6,2,3]=>[3,1,2,2]=>10011010=>5 [4,2,1,6,8,7,3,5]=>[5,7,8,3,1,2,6,4]=>[3,1,3,1]=>10011001=>4 [4,3,6,1,8,7,2,5]=>[5,6,3,8,1,2,7,4]=>[2,2,3,1]=>10101001=>6 [3,4,6,8,1,7,2,5]=>[6,5,3,1,8,2,7,4]=>[1,1,1,2,2,1]=>11110101=>4 [3,5,6,8,7,1,2,4]=>[6,4,3,1,2,8,7,5]=>[1,1,1,3,1,1]=>11110011=>2 [3,6,5,8,7,2,1,4]=>[6,3,4,1,2,7,8,5]=>[1,2,4,1]=>11010001=>4 [3,7,5,8,6,2,4,1]=>[6,2,4,1,3,7,5,8]=>[1,2,3,2]=>11010010=>5 [1,8,5,7,6,2,4,3]=>[8,1,4,2,3,7,5,6]=>[1,2,3,2]=>11010010=>5 [1,8,6,7,5,4,2,3]=>[8,1,3,2,4,5,7,6]=>[1,2,4,1]=>11010001=>4 [3,6,7,8,5,4,1,2]=>[6,3,2,1,4,5,8,7]=>[1,1,1,4,1]=>11110001=>2 [3,5,7,8,6,1,4,2]=>[6,4,2,1,3,8,5,7]=>[1,1,1,3,2]=>11110010=>3 [3,4,7,8,1,6,5,2]=>[6,5,2,1,8,3,4,7]=>[1,1,1,2,3]=>11110100=>3 [4,2,1,7,8,6,5,3]=>[5,7,8,2,1,3,4,6]=>[3,1,4]=>10011000=>3 [2,3,8,1,7,6,5,4]=>[7,6,1,8,2,3,4,5]=>[1,1,2,4]=>11101000=>3 [2,4,8,7,1,6,5,3]=>[7,5,1,2,8,3,4,6]=>[1,1,3,3]=>11100100=>3 [2,5,8,7,6,1,4,3]=>[7,4,1,2,3,8,5,6]=>[1,1,4,2]=>11100010=>3 [2,6,8,7,5,4,1,3]=>[7,3,1,2,4,5,8,6]=>[1,1,5,1]=>11100001=>2 [7,4,6,1,8,3,5,2]=>[2,5,3,8,1,6,4,7]=>[2,2,2,2]=>10101010=>7 [8,3,5,1,7,4,6,2]=>[1,6,4,8,2,5,3,7]=>[2,2,2,2]=>10101010=>7 [8,3,4,1,7,5,6,2]=>[1,6,5,8,2,4,3,7]=>[2,2,2,2]=>10101010=>7 [4,8,3,1,7,5,6,2]=>[5,1,6,8,2,4,3,7]=>[1,3,2,2]=>11001010=>5 [4,6,2,1,7,5,8,3]=>[5,3,7,8,2,4,1,6]=>[1,3,2,2]=>11001010=>5 [1,4,6,2,7,5,8,3]=>[8,5,3,7,2,4,1,6]=>[1,1,2,2,2]=>11101010=>5 [1,7,5,2,6,8,4,3]=>[8,2,4,7,3,1,5,6]=>[1,3,1,3]=>11001100=>3 [7,5,2,1,6,8,4,3]=>[2,4,7,8,3,1,5,6]=>[4,1,3]=>10001100=>3 [6,8,4,3,1,7,5,2]=>[3,1,5,6,8,2,4,7]=>[1,4,3]=>11000100=>3 [3,6,8,4,1,7,5,2]=>[6,3,1,5,8,2,4,7]=>[1,1,3,3]=>11100100=>3 [3,6,7,5,1,8,4,2]=>[6,3,2,4,8,1,5,7]=>[1,1,3,3]=>11100100=>3 [7,5,6,1,8,3,4,2]=>[2,4,3,8,1,6,5,7]=>[2,2,2,2]=>10101010=>7 [3,4,6,5,7,1,8,2]=>[6,5,3,4,2,8,1,7]=>[1,1,2,2,2]=>11101010=>5 [4,7,5,6,1,8,3,2]=>[5,2,4,3,8,1,6,7]=>[1,2,2,3]=>11010100=>5 [6,7,5,1,8,4,3,2]=>[3,2,4,8,1,5,6,7]=>[1,3,4]=>11001000=>3 [6,8,4,1,7,5,3,2]=>[3,1,5,8,2,4,6,7]=>[1,3,4]=>11001000=>3 [6,7,5,3,1,8,4,2]=>[3,2,4,6,8,1,5,7]=>[1,4,3]=>11000100=>3 [8,4,2,1,6,7,5,3]=>[1,5,7,8,3,2,4,6]=>[4,1,3]=>10001100=>3 [1,8,4,2,6,7,5,3]=>[8,1,5,7,3,2,4,6]=>[1,3,1,3]=>11001100=>3 [1,5,3,2,7,6,8,4]=>[8,4,6,7,2,3,1,5]=>[1,3,2,2]=>11001010=>5 [5,3,2,1,7,6,8,4]=>[4,6,7,8,2,3,1,5]=>[4,2,2]=>10001010=>5 [2,5,3,1,7,6,8,4]=>[7,4,6,8,2,3,1,5]=>[1,3,2,2]=>11001010=>5 [2,8,4,1,6,7,5,3]=>[7,1,5,8,3,2,4,6]=>[1,3,1,3]=>11001100=>3 [2,7,5,1,6,8,4,3]=>[7,2,4,8,3,1,5,6]=>[1,3,1,3]=>11001100=>3 [2,4,6,1,7,5,8,3]=>[7,5,3,8,2,4,1,6]=>[1,1,2,2,2]=>11101010=>5 [4,7,1,6,5,8,2,3]=>[5,2,8,3,4,1,7,6]=>[1,2,2,2,1]=>11010101=>6 [4,8,2,6,5,7,1,3]=>[5,1,7,3,4,2,8,6]=>[1,2,2,2,1]=>11010101=>6 [4,6,1,2,7,5,8,3]=>[5,3,8,7,2,4,1,6]=>[1,2,1,2,2]=>11011010=>5 [7,5,1,2,6,8,4,3]=>[2,4,8,7,3,1,5,6]=>[3,1,1,3]=>10011100=>3 [8,4,1,2,6,7,5,3]=>[1,5,8,7,3,2,4,6]=>[3,1,1,3]=>10011100=>3 [5,3,1,2,7,6,8,4]=>[4,6,8,7,2,3,1,5]=>[3,1,2,2]=>10011010=>5 [1,2,5,3,7,6,8,4]=>[8,7,4,6,2,3,1,5]=>[1,1,2,2,2]=>11101010=>5 [4,3,1,2,7,6,8,5]=>[5,6,8,7,2,3,1,4]=>[3,1,2,2]=>10011010=>5 [3,5,1,2,7,6,8,4]=>[6,4,8,7,2,3,1,5]=>[1,2,1,2,2]=>11011010=>5 [6,7,1,5,8,2,3,4]=>[3,2,8,4,1,7,6,5]=>[1,2,1,2,1,1]=>11011011=>4 [2,7,6,1,5,8,3,4]=>[7,2,3,8,4,1,6,5]=>[1,3,1,2,1]=>11001101=>4 [2,3,5,1,7,6,8,4]=>[7,6,4,8,2,3,1,5]=>[1,1,2,2,2]=>11101010=>5 [7,6,1,5,8,3,2,4]=>[2,3,8,4,1,6,7,5]=>[3,1,3,1]=>10011001=>4 [3,6,7,1,5,8,2,4]=>[6,3,2,8,4,1,7,5]=>[1,1,2,1,2,1]=>11101101=>4 [7,1,6,5,8,2,4,3]=>[2,8,3,4,1,7,5,6]=>[2,2,2,2]=>10101010=>7 [7,5,1,6,8,4,2,3]=>[2,4,8,3,1,5,7,6]=>[3,1,3,1]=>10011001=>4 [8,4,1,6,7,5,2,3]=>[1,5,8,3,2,4,7,6]=>[3,1,3,1]=>10011001=>4 [5,2,3,1,7,6,8,4]=>[4,7,6,8,2,3,1,5]=>[2,2,2,2]=>10101010=>7 [3,5,2,1,7,6,8,4]=>[6,4,7,8,2,3,1,5]=>[1,3,2,2]=>11001010=>5 [1,3,5,2,7,6,8,4]=>[8,6,4,7,2,3,1,5]=>[1,1,2,2,2]=>11101010=>5 [1,7,6,2,5,8,3,4]=>[8,2,3,7,4,1,6,5]=>[1,3,1,2,1]=>11001101=>4 [7,6,2,1,5,8,3,4]=>[2,3,7,8,4,1,6,5]=>[4,1,2,1]=>10001101=>4 [8,3,1,5,7,6,2,4]=>[1,6,8,4,2,3,7,5]=>[3,1,3,1]=>10011001=>4 [6,2,4,1,7,5,8,3]=>[3,7,5,8,2,4,1,6]=>[2,2,2,2]=>10101010=>7 [6,2,5,1,7,4,8,3]=>[3,7,4,8,2,5,1,6]=>[2,2,2,2]=>10101010=>7 [7,1,6,4,8,2,5,3]=>[2,8,3,5,1,7,4,6]=>[2,2,2,2]=>10101010=>7 [8,2,6,4,7,1,5,3]=>[1,7,3,5,2,8,4,6]=>[2,2,2,2]=>10101010=>7 [6,1,5,2,7,4,8,3]=>[3,8,4,7,2,5,1,6]=>[2,2,2,2]=>10101010=>7 [7,6,2,5,8,3,1,4]=>[2,3,7,4,1,6,8,5]=>[3,1,3,1]=>10011001=>4 [8,3,5,7,6,2,1,4]=>[1,6,4,2,3,7,8,5]=>[2,1,4,1]=>10110001=>4 [1,8,3,5,7,6,2,4]=>[8,1,6,4,2,3,7,5]=>[1,2,1,3,1]=>11011001=>4 [1,5,2,3,7,6,8,4]=>[8,4,7,6,2,3,1,5]=>[1,2,1,2,2]=>11011010=>5 [5,2,1,3,7,6,8,4]=>[4,7,8,6,2,3,1,5]=>[3,1,2,2]=>10011010=>5 [7,5,2,6,8,4,1,3]=>[2,4,7,3,1,5,8,6]=>[3,1,3,1]=>10011001=>4 [8,4,2,6,7,5,1,3]=>[1,5,7,3,2,4,8,6]=>[3,1,3,1]=>10011001=>4 [6,1,4,2,7,5,8,3]=>[3,8,5,7,2,4,1,6]=>[2,2,2,2]=>10101010=>7 [8,2,6,5,7,1,4,3]=>[1,7,3,4,2,8,5,6]=>[2,2,2,2]=>10101010=>7 [3,6,8,2,5,7,1,4]=>[6,3,1,7,4,2,8,5]=>[1,1,2,1,2,1]=>11101101=>4 [8,3,2,5,7,6,1,4]=>[1,6,7,4,2,3,8,5]=>[3,1,3,1]=>10011001=>4 [5,1,3,2,7,6,8,4]=>[4,8,6,7,2,3,1,5]=>[2,2,2,2]=>10101010=>7 [4,1,3,2,7,6,8,5]=>[5,8,6,7,2,3,1,4]=>[2,2,2,2]=>10101010=>7 [4,2,1,3,7,6,8,5]=>[5,7,8,6,2,3,1,4]=>[3,1,2,2]=>10011010=>5 [1,4,2,3,7,6,8,5]=>[8,5,7,6,2,3,1,4]=>[1,2,1,2,2]=>11011010=>5 [2,4,1,3,7,6,8,5]=>[7,5,8,6,2,3,1,4]=>[1,2,1,2,2]=>11011010=>5 [2,5,1,3,7,6,8,4]=>[7,4,8,6,2,3,1,5]=>[1,2,1,2,2]=>11011010=>5 [2,8,3,5,7,6,1,4]=>[7,1,6,4,2,3,8,5]=>[1,2,1,3,1]=>11011001=>4 [6,8,2,3,5,7,1,4]=>[3,1,7,6,4,2,8,5]=>[1,2,1,1,2,1]=>11011101=>4 [6,7,1,3,5,8,2,4]=>[3,2,8,6,4,1,7,5]=>[1,2,1,1,2,1]=>11011101=>4 [8,3,5,7,6,1,2,4]=>[1,6,4,2,3,8,7,5]=>[2,1,3,1,1]=>10110011=>4 [5,1,2,3,7,6,8,4]=>[4,8,7,6,2,3,1,5]=>[2,1,1,2,2]=>10111010=>5 [3,1,2,4,7,6,8,5]=>[6,8,7,5,2,3,1,4]=>[2,1,1,2,2]=>10111010=>5 [8,1,2,4,3,6,5,7]=>[1,8,7,5,6,3,4,2]=>[2,1,2,2,1]=>10110101=>6 [8,1,3,5,6,2,7,4]=>[1,8,6,4,3,7,2,5]=>[2,1,1,2,2]=>10111010=>5 [8,1,3,4,2,6,7,5]=>[1,8,6,5,7,3,2,4]=>[2,1,2,1,2]=>10110110=>5 [8,1,3,2,4,5,7,6]=>[1,8,6,7,5,4,2,3]=>[2,2,1,1,2]=>10101110=>5 [2,7,8,3,4,5,6,1]=>[7,2,1,6,5,4,3,8]=>[1,1,2,1,1,2]=>11101110=>3 [2,6,3,8,4,5,7,1]=>[7,3,6,1,5,4,2,8]=>[1,2,2,1,2]=>11010110=>5 [6,3,2,1,4,5,8,7]=>[3,6,7,8,5,4,1,2]=>[4,1,1,2]=>10001110=>3 [7,3,1,4,2,6,8,5]=>[2,6,8,5,7,3,1,4]=>[3,2,1,2]=>10010110=>5 [7,4,1,5,6,8,2,3]=>[2,5,8,4,3,1,7,6]=>[3,1,1,2,1]=>10011101=>4 [4,7,8,5,6,1,2,3]=>[5,2,1,4,3,8,7,6]=>[1,1,2,2,1,1]=>11101011=>4 [3,7,8,5,6,2,1,4]=>[6,2,1,4,3,7,8,5]=>[1,1,2,3,1]=>11101001=>4 [3,7,8,4,2,6,1,5]=>[6,2,1,5,7,3,8,4]=>[1,1,3,2,1]=>11100101=>4 [3,7,8,2,4,5,1,6]=>[6,2,1,7,5,4,8,3]=>[1,1,2,1,2,1]=>11101101=>4 [3,6,2,8,4,5,1,7]=>[6,3,7,1,5,4,8,2]=>[1,2,2,2,1]=>11010101=>6 [2,3,6,7,4,5,8,1]=>[7,6,3,2,5,4,1,8]=>[1,1,1,2,1,2]=>11110110=>3 [3,5,2,4,8,6,1,7]=>[6,4,7,5,1,3,8,2]=>[1,2,1,3,1]=>11011001=>4 [3,5,4,2,8,7,1,6]=>[6,4,5,7,1,2,8,3]=>[1,3,3,1]=>11001001=>4 [4,6,5,8,7,1,2,3]=>[5,3,4,1,2,8,7,6]=>[1,2,3,1,1]=>11010011=>4 [6,4,5,1,7,8,2,3]=>[3,5,4,8,2,1,7,6]=>[2,2,1,2,1]=>10101101=>6 [7,4,1,2,3,8,5,6]=>[2,5,8,7,6,1,4,3]=>[3,1,1,2,1]=>10011101=>4 [6,2,4,1,3,7,5,8]=>[3,7,5,8,6,2,4,1]=>[2,2,1,2,1]=>10101101=>6 [2,6,4,8,3,7,5,1]=>[7,3,5,1,6,2,4,8]=>[1,2,2,3]=>11010100=>5 [2,6,5,8,7,3,4,1]=>[7,3,4,1,2,6,5,8]=>[1,2,3,2]=>11010010=>5 [6,2,5,1,7,3,4,8]=>[3,7,4,8,2,6,5,1]=>[2,2,2,1,1]=>10101011=>6 [6,5,2,1,8,3,4,7]=>[3,4,7,8,1,6,5,2]=>[4,2,1,1]=>10001011=>4 [2,5,6,7,8,3,4,1]=>[7,4,3,2,1,6,5,8]=>[1,1,1,1,2,2]=>11111010=>3 [2,4,6,7,3,8,5,1]=>[7,5,3,2,6,1,4,8]=>[1,1,1,2,3]=>11110100=>3 [4,2,6,7,3,1,5,8]=>[5,7,3,2,6,8,4,1]=>[2,1,3,1,1]=>10110011=>4 [4,7,8,2,3,1,5,6]=>[5,2,1,7,6,8,4,3]=>[1,1,2,2,1,1]=>11101011=>4 [4,7,8,3,2,1,6,5]=>[5,2,1,6,7,8,3,4]=>[1,1,4,2]=>11100010=>3 [5,6,4,8,1,7,2,3]=>[4,3,5,1,8,2,7,6]=>[1,2,2,2,1]=>11010101=>6 [5,6,3,8,1,2,7,4]=>[4,3,6,1,8,7,2,5]=>[1,2,2,1,2]=>11010110=>5 [4,2,5,3,7,1,6,8]=>[5,7,4,6,2,8,3,1]=>[2,2,2,1,1]=>10101011=>6 [4,3,6,7,2,1,8,5]=>[5,6,3,2,7,8,1,4]=>[2,1,3,2]=>10110010=>5 [3,4,6,7,2,8,1,5]=>[6,5,3,2,7,1,8,4]=>[1,1,1,2,2,1]=>11110101=>4 [3,4,5,2,7,8,1,6]=>[6,5,4,7,2,1,8,3]=>[1,1,2,1,2,1]=>11101101=>4 [3,4,2,5,6,8,1,7]=>[6,5,7,4,3,1,8,2]=>[1,2,1,1,2,1]=>11011101=>4 [5,2,7,8,6,4,1,3]=>[4,7,2,1,3,5,8,6]=>[2,1,4,1]=>10110001=>4 [5,1,2,7,8,6,4,3]=>[4,8,7,2,1,3,5,6]=>[2,1,1,4]=>10111000=>3 [4,7,1,8,6,5,2,3]=>[5,2,8,1,3,4,7,6]=>[1,2,4,1]=>11010001=>4 [4,7,1,2,8,6,5,3]=>[5,2,8,7,1,3,4,6]=>[1,2,1,4]=>11011000=>3 [4,6,8,1,2,7,5,3]=>[5,3,1,8,7,2,4,6]=>[1,1,2,1,3]=>11101100=>3 [6,8,7,1,5,3,2,4]=>[3,1,2,8,4,6,7,5]=>[1,3,3,1]=>11001001=>4 [6,8,7,3,5,1,2,4]=>[3,1,2,6,4,8,7,5]=>[1,3,2,1,1]=>11001011=>4 [7,8,1,6,3,5,2,4]=>[2,1,8,3,6,4,7,5]=>[1,2,2,2,1]=>11010101=>6 [7,8,1,3,6,5,2,4]=>[2,1,8,6,3,4,7,5]=>[1,2,1,3,1]=>11011001=>4 [7,8,3,6,5,2,1,4]=>[2,1,6,3,4,7,8,5]=>[1,2,4,1]=>11010001=>4 [4,7,2,8,6,1,5,3]=>[5,2,7,1,3,8,4,6]=>[1,2,3,2]=>11010010=>5 [1,7,3,4,8,6,5,2]=>[8,2,6,5,1,3,4,7]=>[1,2,1,4]=>11011000=>3 [4,2,7,1,8,6,5,3]=>[5,7,2,8,1,3,4,6]=>[2,2,4]=>10101000=>5 [7,8,2,3,6,5,1,4]=>[2,1,7,6,3,4,8,5]=>[1,2,1,3,1]=>11011001=>4 [8,5,7,1,6,2,3,4]=>[1,4,2,8,3,7,6,5]=>[2,2,2,1,1]=>10101011=>6 [8,5,7,1,2,6,3,4]=>[1,4,2,8,7,3,6,5]=>[2,2,1,2,1]=>10101101=>6 [6,8,2,7,1,3,5,4]=>[3,1,7,2,8,6,4,5]=>[1,2,2,1,2]=>11010110=>5 [6,8,7,2,5,3,1,4]=>[3,1,2,7,4,6,8,5]=>[1,3,3,1]=>11001001=>4 [6,2,4,8,7,1,5,3]=>[3,7,5,1,2,8,4,6]=>[2,1,3,2]=>10110010=>5 [1,6,8,3,7,4,5,2]=>[8,3,1,6,2,5,4,7]=>[1,1,2,2,2]=>11101010=>5 [1,6,8,3,4,7,5,2]=>[8,3,1,6,5,2,4,7]=>[1,1,2,1,3]=>11101100=>3 [6,2,4,8,1,7,5,3]=>[3,7,5,1,8,2,4,6]=>[2,1,2,3]=>10110100=>5 [6,8,7,2,3,5,1,4]=>[3,1,2,7,6,4,8,5]=>[1,3,1,2,1]=>11001101=>4 [6,8,2,1,7,3,5,4]=>[3,1,7,8,2,6,4,5]=>[1,3,2,2]=>11001010=>5 [8,5,7,2,1,6,3,4]=>[1,4,2,7,8,3,6,5]=>[2,3,2,1]=>10100101=>6 [8,5,7,1,2,3,6,4]=>[1,4,2,8,7,6,3,5]=>[2,2,1,1,2]=>10101110=>5 [8,7,6,2,1,4,3,5]=>[1,2,3,7,8,5,6,4]=>[5,2,1]=>10000101=>4 [8,5,7,2,3,1,6,4]=>[1,4,2,7,6,8,3,5]=>[2,2,2,2]=>10101010=>7 [5,8,4,2,7,1,6,3]=>[4,1,5,7,2,8,3,6]=>[1,3,2,2]=>11001010=>5 [1,8,7,5,3,4,6,2]=>[8,1,2,4,6,5,3,7]=>[1,4,1,2]=>11000110=>3 [1,8,7,3,5,4,6,2]=>[8,1,2,6,4,5,3,7]=>[1,3,2,2]=>11001010=>5 [8,2,5,4,7,1,6,3]=>[1,7,4,5,2,8,3,6]=>[2,2,2,2]=>10101010=>7 [8,5,2,7,3,1,6,4]=>[1,4,7,2,6,8,3,5]=>[3,3,2]=>10010010=>5 [8,7,6,2,4,3,1,5]=>[1,2,3,7,5,6,8,4]=>[4,3,1]=>10001001=>4 [8,7,6,1,2,4,3,5]=>[1,2,3,8,7,5,6,4]=>[4,1,2,1]=>10001101=>4 [8,7,6,1,4,2,3,5]=>[1,2,3,8,5,7,6,4]=>[4,2,1,1]=>10001011=>4 [8,7,6,4,1,3,2,5]=>[1,2,3,5,8,6,7,4]=>[5,2,1]=>10000101=>4 [5,8,4,7,2,1,6,3]=>[4,1,5,2,7,8,3,6]=>[1,2,3,2]=>11010010=>5 [1,8,7,5,4,3,6,2]=>[8,1,2,4,5,6,3,7]=>[1,5,2]=>11000010=>3 [1,6,8,4,3,7,5,2]=>[8,3,1,5,6,2,4,7]=>[1,1,3,3]=>11100100=>3 [6,8,7,3,2,5,1,4]=>[3,1,2,6,7,4,8,5]=>[1,4,2,1]=>11000101=>4 [6,8,1,7,3,2,5,4]=>[3,1,8,2,6,7,4,5]=>[1,2,3,2]=>11010010=>5 [8,5,7,3,1,6,2,4]=>[1,4,2,6,8,3,7,5]=>[2,3,2,1]=>10100101=>6 [8,5,7,1,3,2,6,4]=>[1,4,2,8,6,7,3,5]=>[2,2,2,2]=>10101010=>7 [8,5,7,3,1,2,6,4]=>[1,4,2,6,8,7,3,5]=>[2,3,1,2]=>10100110=>5 [5,8,4,7,1,2,6,3]=>[4,1,5,2,8,7,3,6]=>[1,2,2,1,2]=>11010110=>5 [5,8,4,1,7,2,6,3]=>[4,1,5,8,2,7,3,6]=>[1,3,2,2]=>11001010=>5 [5,8,4,7,1,6,2,3]=>[4,1,5,2,8,3,7,6]=>[1,2,2,2,1]=>11010101=>6 [8,1,2,6,5,7,4,3]=>[1,8,7,3,4,2,5,6]=>[2,1,2,3]=>10110100=>5 [8,2,5,6,7,4,1,3]=>[1,7,4,3,2,5,8,6]=>[2,1,1,3,1]=>10111001=>4 [4,8,5,7,1,6,2,3]=>[5,1,4,2,8,3,7,6]=>[1,2,2,2,1]=>11010101=>6 [4,8,5,7,1,2,6,3]=>[5,1,4,2,8,7,3,6]=>[1,2,2,1,2]=>11010110=>5 [4,8,5,1,7,2,6,3]=>[5,1,4,8,2,7,3,6]=>[1,3,2,2]=>11001010=>5 [8,5,3,1,7,2,6,4]=>[1,4,6,8,2,7,3,5]=>[4,2,2]=>10001010=>5 [8,5,3,7,1,2,6,4]=>[1,4,6,2,8,7,3,5]=>[3,2,1,2]=>10010110=>5 [6,8,1,3,7,2,5,4]=>[3,1,8,6,2,7,4,5]=>[1,2,1,2,2]=>11011010=>5 [4,6,2,8,1,7,5,3]=>[5,3,7,1,8,2,4,6]=>[1,2,2,3]=>11010100=>5 [1,6,4,8,3,7,5,2]=>[8,3,5,1,6,2,4,7]=>[1,2,2,3]=>11010100=>5 [1,8,7,4,5,3,6,2]=>[8,1,2,5,4,6,3,7]=>[1,3,2,2]=>11001010=>5 [4,8,5,7,2,1,6,3]=>[5,1,4,2,7,8,3,6]=>[1,2,3,2]=>11010010=>5 [8,5,3,7,2,1,6,4]=>[1,4,6,2,7,8,3,5]=>[3,3,2]=>10010010=>5 [8,7,6,3,1,4,2,5]=>[1,2,3,6,8,5,7,4]=>[5,2,1]=>10000101=>4 [8,7,6,1,3,2,4,5]=>[1,2,3,8,6,7,5,4]=>[4,2,1,1]=>10001011=>4 [8,5,3,2,7,1,6,4]=>[1,4,6,7,2,8,3,5]=>[4,2,2]=>10001010=>5 [4,8,5,2,7,1,6,3]=>[5,1,4,7,2,8,3,6]=>[1,3,2,2]=>11001010=>5 [1,8,7,4,3,5,6,2]=>[8,1,2,5,6,4,3,7]=>[1,4,1,2]=>11000110=>3 [1,8,7,3,4,5,6,2]=>[8,1,2,6,5,4,3,7]=>[1,3,1,1,2]=>11001110=>3 [8,2,4,5,7,1,6,3]=>[1,7,5,4,2,8,3,6]=>[2,1,1,2,2]=>10111010=>5 [8,5,2,3,7,1,6,4]=>[1,4,7,6,2,8,3,5]=>[3,1,2,2]=>10011010=>5 [6,3,1,5,4,2,8,7]=>[3,6,8,4,5,7,1,2]=>[3,3,2]=>10010010=>5 [8,3,1,5,2,7,6,4]=>[1,6,8,4,7,2,3,5]=>[3,2,3]=>10010100=>5 [8,5,4,2,1,7,3,6]=>[1,4,5,7,8,2,6,3]=>[5,2,1]=>10000101=>4 [8,5,4,2,1,7,6,3]=>[1,4,5,7,8,2,3,6]=>[5,3]=>10000100=>3 [6,5,4,2,1,3,8,7]=>[3,4,5,7,8,6,1,2]=>[5,1,2]=>10000110=>3 [6,5,4,2,3,1,8,7]=>[3,4,5,7,6,8,1,2]=>[4,2,2]=>10001010=>5 [6,3,2,5,1,4,8,7]=>[3,6,7,4,8,5,1,2]=>[3,2,1,2]=>10010110=>5 [6,5,4,3,1,2,8,7]=>[3,4,5,6,8,7,1,2]=>[5,1,2]=>10000110=>3 [6,5,4,1,3,2,8,7]=>[3,4,5,8,6,7,1,2]=>[4,2,2]=>10001010=>5 [8,5,4,1,2,7,6,3]=>[1,4,5,8,7,2,3,6]=>[4,1,3]=>10001100=>3 [8,7,4,1,6,3,2,5]=>[1,2,5,8,3,6,7,4]=>[4,3,1]=>10001001=>4 [8,7,4,1,6,3,5,2]=>[1,2,5,8,3,6,4,7]=>[4,2,2]=>10001010=>5 [8,7,4,1,6,5,3,2]=>[1,2,5,8,3,4,6,7]=>[4,4]=>10001000=>3 [8,5,4,1,3,7,6,2]=>[1,4,5,8,6,2,3,7]=>[4,1,3]=>10001100=>3 [8,5,4,3,1,7,6,2]=>[1,4,5,6,8,2,3,7]=>[5,3]=>10000100=>3 [8,3,2,5,1,7,6,4]=>[1,6,7,4,8,2,3,5]=>[3,2,3]=>10010100=>5 [2,1,8,5,3,7,6,4]=>[7,8,1,4,6,2,3,5]=>[2,3,3]=>10100100=>5 [8,3,2,5,1,7,4,6]=>[1,6,7,4,8,2,5,3]=>[3,2,2,1]=>10010101=>6 [8,5,4,3,1,7,2,6]=>[1,4,5,6,8,2,7,3]=>[5,2,1]=>10000101=>4 [8,5,4,1,3,7,2,6]=>[1,4,5,8,6,2,7,3]=>[4,1,2,1]=>10001101=>4 [8,7,4,1,6,5,2,3]=>[1,2,5,8,3,4,7,6]=>[4,3,1]=>10001001=>4 [8,7,4,1,6,2,5,3]=>[1,2,5,8,3,7,4,6]=>[4,2,2]=>10001010=>5 [8,7,6,5,2,1,4,3]=>[1,2,3,4,7,8,5,6]=>[6,2]=>10000010=>3 [8,7,4,3,6,2,1,5]=>[1,2,5,6,3,7,8,4]=>[4,3,1]=>10001001=>4 [8,3,2,7,6,4,1,5]=>[1,6,7,2,3,5,8,4]=>[3,4,1]=>10010001=>4 [2,1,8,7,6,4,3,5]=>[7,8,1,2,3,5,6,4]=>[2,5,1]=>10100001=>4 [2,1,8,7,6,4,5,3]=>[7,8,1,2,3,5,4,6]=>[2,4,2]=>10100010=>5 [8,3,2,7,6,4,5,1]=>[1,6,7,2,3,5,4,8]=>[3,3,2]=>10010010=>5 [8,7,4,3,6,2,5,1]=>[1,2,5,6,3,7,4,8]=>[4,2,2]=>10001010=>5 [8,7,6,5,2,4,3,1]=>[1,2,3,4,7,5,6,8]=>[5,3]=>10000100=>3 [8,5,4,2,3,7,6,1]=>[1,4,5,7,6,2,3,8]=>[4,1,3]=>10001100=>3 [8,7,4,2,6,5,3,1]=>[1,2,5,7,3,4,6,8]=>[4,4]=>10001000=>3 [8,7,4,2,6,3,5,1]=>[1,2,5,7,3,6,4,8]=>[4,2,2]=>10001010=>5 [8,7,4,2,6,3,1,5]=>[1,2,5,7,3,6,8,4]=>[4,3,1]=>10001001=>4 [8,3,1,7,6,4,2,5]=>[1,6,8,2,3,5,7,4]=>[3,4,1]=>10010001=>4 [8,3,1,7,6,4,5,2]=>[1,6,8,2,3,5,4,7]=>[3,3,2]=>10010010=>5 [8,3,1,7,6,5,4,2]=>[1,6,8,2,3,4,5,7]=>[3,5]=>10010000=>3 [8,3,1,5,4,7,6,2]=>[1,6,8,4,5,2,3,7]=>[3,2,3]=>10010100=>5 [8,3,1,5,4,7,2,6]=>[1,6,8,4,5,2,7,3]=>[3,2,2,1]=>10010101=>6 [8,3,1,7,6,5,2,4]=>[1,6,8,2,3,4,7,5]=>[3,4,1]=>10010001=>4 [8,3,1,7,6,2,5,4]=>[1,6,8,2,3,7,4,5]=>[3,3,2]=>10010010=>5 [8,7,4,2,6,1,5,3]=>[1,2,5,7,3,8,4,6]=>[4,2,2]=>10001010=>5 [8,7,4,2,6,5,1,3]=>[1,2,5,7,3,4,8,6]=>[4,3,1]=>10001001=>4 [8,5,4,2,3,7,1,6]=>[1,4,5,7,6,2,8,3]=>[4,1,2,1]=>10001101=>4 [8,3,2,5,4,7,1,6]=>[1,6,7,4,5,2,8,3]=>[3,2,2,1]=>10010101=>6 [2,1,8,5,4,7,3,6]=>[7,8,1,4,5,2,6,3]=>[2,3,2,1]=>10100101=>6 [8,3,2,7,6,5,1,4]=>[1,6,7,2,3,4,8,5]=>[3,4,1]=>10010001=>4 [8,7,4,3,6,5,1,2]=>[1,2,5,6,3,4,8,7]=>[4,3,1]=>10001001=>4 [8,7,6,5,3,1,4,2]=>[1,2,3,4,6,8,5,7]=>[6,2]=>10000010=>3 [8,7,6,5,1,3,2,4]=>[1,2,3,4,8,6,7,5]=>[5,2,1]=>10000101=>4 [8,7,6,5,1,3,4,2]=>[1,2,3,4,8,6,5,7]=>[5,1,2]=>10000110=>3 [8,7,6,5,1,4,3,2]=>[1,2,3,4,8,5,6,7]=>[5,3]=>10000100=>3 [8,7,6,5,4,1,3,2]=>[1,2,3,4,5,8,6,7]=>[6,2]=>10000010=>3 [8,7,4,3,6,1,5,2]=>[1,2,5,6,3,8,4,7]=>[4,2,2]=>10001010=>5 [8,3,2,7,6,1,5,4]=>[1,6,7,2,3,8,4,5]=>[3,3,2]=>10010010=>5 [2,1,8,7,6,3,5,4]=>[7,8,1,2,3,6,4,5]=>[2,4,2]=>10100010=>5 [8,3,2,7,6,1,4,5]=>[1,6,7,2,3,8,5,4]=>[3,3,1,1]=>10010011=>4 [8,7,6,5,1,4,2,3]=>[1,2,3,4,8,5,7,6]=>[5,2,1]=>10000101=>4 [8,7,6,5,1,2,4,3]=>[1,2,3,4,8,7,5,6]=>[5,1,2]=>10000110=>3 [7,3,5,1,8,4,6,2]=>[2,6,4,8,1,5,3,7]=>[2,2,2,2]=>10101010=>7 [7,3,4,1,8,5,6,2]=>[2,6,5,8,1,4,3,7]=>[2,2,2,2]=>10101010=>7 [4,5,6,2,1,8,7,3]=>[5,4,3,7,8,1,2,6]=>[1,1,3,3]=>11100100=>3 [1,6,5,2,7,4,3,8]=>[8,3,4,7,2,5,6,1]=>[1,3,3,1]=>11001001=>4 [7,4,3,1,8,6,5,2]=>[2,5,6,8,1,3,4,7]=>[4,4]=>10001000=>3 [7,6,5,1,8,4,3,2]=>[2,3,4,8,1,5,6,7]=>[4,4]=>10001000=>3 [7,6,4,1,8,5,3,2]=>[2,3,5,8,1,4,6,7]=>[4,4]=>10001000=>3 [6,4,2,1,8,7,5,3]=>[3,5,7,8,1,2,4,6]=>[4,4]=>10001000=>3 [1,6,4,2,7,5,3,8]=>[8,3,5,7,2,4,6,1]=>[1,3,3,1]=>11001001=>4 [1,5,3,2,7,6,4,8]=>[8,4,6,7,2,3,5,1]=>[1,3,3,1]=>11001001=>4 [5,3,2,1,8,7,6,4]=>[4,6,7,8,1,2,3,5]=>[4,4]=>10001000=>3 [2,5,3,1,7,8,6,4]=>[7,4,6,8,2,1,3,5]=>[1,3,1,3]=>11001100=>3 [2,6,4,1,7,8,5,3]=>[7,3,5,8,2,1,4,6]=>[1,3,1,3]=>11001100=>3 [2,6,5,1,7,8,4,3]=>[7,3,4,8,2,1,5,6]=>[1,3,1,3]=>11001100=>3 [4,5,7,1,6,8,2,3]=>[5,4,2,8,3,1,7,6]=>[1,1,2,1,2,1]=>11101101=>4 [6,5,1,2,8,4,3,7]=>[3,4,8,7,1,5,6,2]=>[3,1,3,1]=>10011001=>4 [6,4,1,2,8,5,3,7]=>[3,5,8,7,1,4,6,2]=>[3,1,3,1]=>10011001=>4 [5,3,1,2,8,6,4,7]=>[4,6,8,7,1,3,5,2]=>[3,1,3,1]=>10011001=>4 [4,3,1,2,8,6,5,7]=>[5,6,8,7,1,3,4,2]=>[3,1,3,1]=>10011001=>4 [6,1,2,5,8,3,4,7]=>[3,8,7,4,1,6,5,2]=>[2,1,1,2,1,1]=>10111011=>4 [7,1,3,4,8,2,5,6]=>[2,8,6,5,1,7,4,3]=>[2,1,1,2,1,1]=>10111011=>4 [7,1,5,6,8,2,3,4]=>[2,8,4,3,1,7,6,5]=>[2,1,1,2,1,1]=>10111011=>4 [2,6,1,5,7,8,3,4]=>[7,3,8,4,2,1,6,5]=>[1,2,1,1,2,1]=>11011101=>4 [7,4,1,6,8,5,2,3]=>[2,5,8,3,1,4,7,6]=>[3,1,3,1]=>10011001=>4 [5,2,3,1,8,6,7,4]=>[4,7,6,8,1,3,2,5]=>[2,2,2,2]=>10101010=>7 [3,5,2,1,6,8,7,4]=>[6,4,7,8,3,1,2,5]=>[1,3,1,3]=>11001100=>3 [1,6,2,5,7,3,4,8]=>[8,3,7,4,2,6,5,1]=>[1,2,1,2,1,1]=>11011011=>4 [6,2,1,5,8,7,3,4]=>[3,7,8,4,1,2,6,5]=>[3,1,3,1]=>10011001=>4 [7,3,1,5,8,6,2,4]=>[2,6,8,4,1,3,7,5]=>[3,1,3,1]=>10011001=>4 [6,2,4,1,8,5,7,3]=>[3,7,5,8,1,4,2,6]=>[2,2,2,2]=>10101010=>7 [6,2,5,1,8,4,7,3]=>[3,7,4,8,1,5,2,6]=>[2,2,2,2]=>10101010=>7 [7,3,1,4,8,6,2,5]=>[2,6,8,5,1,3,7,4]=>[3,1,3,1]=>10011001=>4 [6,2,1,4,8,7,3,5]=>[3,7,8,5,1,2,6,4]=>[3,1,3,1]=>10011001=>4 [1,6,2,4,7,3,5,8]=>[8,3,7,5,2,6,4,1]=>[1,2,1,2,1,1]=>11011011=>4 [5,2,1,3,8,7,4,6]=>[4,7,8,6,1,2,5,3]=>[3,1,3,1]=>10011001=>4 [7,4,1,3,8,5,2,6]=>[2,5,8,6,1,4,7,3]=>[3,1,3,1]=>10011001=>4 [7,5,1,3,8,4,2,6]=>[2,4,8,6,1,5,7,3]=>[3,1,3,1]=>10011001=>4 [3,6,7,1,4,8,2,5]=>[6,3,2,8,5,1,7,4]=>[1,1,2,1,2,1]=>11101101=>4 [7,6,1,4,8,3,2,5]=>[2,3,8,5,1,6,7,4]=>[3,1,3,1]=>10011001=>4 [4,2,1,3,8,7,5,6]=>[5,7,8,6,1,2,4,3]=>[3,1,3,1]=>10011001=>4 [2,6,1,4,7,8,3,5]=>[7,3,8,5,2,1,6,4]=>[1,2,1,1,2,1]=>11011101=>4 [7,1,4,6,8,2,3,5]=>[2,8,5,3,1,7,6,4]=>[2,1,1,2,1,1]=>10111011=>4 [7,1,3,5,8,2,4,6]=>[2,8,6,4,1,7,5,3]=>[2,1,1,2,1,1]=>10111011=>4 [6,1,2,4,8,3,5,7]=>[3,8,7,5,1,6,4,2]=>[2,1,1,2,1,1]=>10111011=>4 [5,2,3,1,6,4,8,7]=>[4,7,6,8,3,5,1,2]=>[2,2,2,2]=>10101010=>7 [7,4,5,2,3,1,8,6]=>[2,5,4,7,6,8,1,3]=>[2,2,2,2]=>10101010=>7 [8,6,7,3,5,2,4,1]=>[1,3,2,6,4,7,5,8]=>[2,2,2,2]=>10101010=>7 [7,3,5,2,4,1,8,6]=>[2,6,4,7,5,8,1,3]=>[2,2,2,2]=>10101010=>7 [6,3,5,2,4,1,8,7]=>[3,6,4,7,5,8,1,2]=>[2,2,2,2]=>10101010=>7 [5,2,4,1,6,3,8,7]=>[4,7,5,8,3,6,1,2]=>[2,2,2,2]=>10101010=>7 [4,1,6,3,5,2,8,7]=>[5,8,3,6,4,7,1,2]=>[2,2,2,2]=>10101010=>7 [6,3,4,1,5,2,8,7]=>[3,6,5,8,4,7,1,2]=>[2,2,2,2]=>10101010=>7 [5,2,6,3,4,1,8,7]=>[4,7,3,6,5,8,1,2]=>[2,2,2,2]=>10101010=>7 [5,2,7,3,4,1,8,6]=>[4,7,2,6,5,8,1,3]=>[2,2,2,2]=>10101010=>7 [5,2,8,6,7,3,4,1]=>[4,7,1,3,2,6,5,8]=>[2,2,2,2]=>10101010=>7 [6,2,8,5,7,3,4,1]=>[3,7,1,4,2,6,5,8]=>[2,2,2,2]=>10101010=>7 [6,2,7,3,4,1,8,5]=>[3,7,2,6,5,8,1,4]=>[2,2,2,2]=>10101010=>7 [7,3,4,1,5,2,8,6]=>[2,6,5,8,4,7,1,3]=>[2,2,2,2]=>10101010=>7 [4,1,7,3,5,2,8,6]=>[5,8,2,6,4,7,1,3]=>[2,2,2,2]=>10101010=>7 [3,1,7,4,5,2,8,6]=>[6,8,2,5,4,7,1,3]=>[2,2,2,2]=>10101010=>7 [2,1,7,4,5,3,8,6]=>[7,8,2,5,4,6,1,3]=>[2,2,2,2]=>10101010=>7 [3,1,8,6,7,4,5,2]=>[6,8,1,3,2,5,4,7]=>[2,2,2,2]=>10101010=>7 [4,1,8,6,7,3,5,2]=>[5,8,1,3,2,6,4,7]=>[2,2,2,2]=>10101010=>7 [8,6,7,3,4,1,5,2]=>[1,3,2,6,5,8,4,7]=>[2,2,2,2]=>10101010=>7 [8,5,7,3,4,1,6,2]=>[1,4,2,6,5,8,3,7]=>[2,2,2,2]=>10101010=>7 [8,5,6,2,7,3,4,1]=>[1,4,3,7,2,6,5,8]=>[2,2,2,2]=>10101010=>7 [8,4,7,3,5,1,6,2]=>[1,5,2,6,4,8,3,7]=>[2,2,2,2]=>10101010=>7 [5,1,8,4,7,3,6,2]=>[4,8,1,5,2,6,3,7]=>[2,2,2,2]=>10101010=>7 [4,1,8,5,7,3,6,2]=>[5,8,1,4,2,6,3,7]=>[2,2,2,2]=>10101010=>7 [3,1,8,5,7,4,6,2]=>[6,8,1,4,2,5,3,7]=>[2,2,2,2]=>10101010=>7 [2,1,8,5,7,4,6,3]=>[7,8,1,4,2,5,3,6]=>[2,2,2,2]=>10101010=>7 [2,1,7,4,6,3,8,5]=>[7,8,2,5,3,6,1,4]=>[2,2,2,2]=>10101010=>7 [3,1,7,4,6,2,8,5]=>[6,8,2,5,3,7,1,4]=>[2,2,2,2]=>10101010=>7 [4,1,7,3,6,2,8,5]=>[5,8,2,6,3,7,1,4]=>[2,2,2,2]=>10101010=>7 [5,1,7,3,6,2,8,4]=>[4,8,2,6,3,7,1,5]=>[2,2,2,2]=>10101010=>7 [6,2,7,3,5,1,8,4]=>[3,7,2,6,4,8,1,5]=>[2,2,2,2]=>10101010=>7 [6,2,8,4,7,3,5,1]=>[3,7,1,5,2,6,4,8]=>[2,2,2,2]=>10101010=>7 [8,4,7,3,6,2,5,1]=>[1,5,2,6,3,7,4,8]=>[2,2,2,2]=>10101010=>7 [7,3,6,2,5,1,8,4]=>[2,6,3,7,4,8,1,5]=>[2,2,2,2]=>10101010=>7 [6,2,5,1,7,3,8,4]=>[3,7,4,8,2,6,1,5]=>[2,2,2,2]=>10101010=>7 [5,2,4,1,7,3,8,6]=>[4,7,5,8,2,6,1,3]=>[2,2,2,2]=>10101010=>7 [6,2,4,1,7,3,8,5]=>[3,7,5,8,2,6,1,4]=>[2,2,2,2]=>10101010=>7 [8,5,7,3,6,2,4,1]=>[1,4,2,6,3,7,5,8]=>[2,2,2,2]=>10101010=>7 [8,5,7,4,6,2,3,1]=>[1,4,2,5,3,7,6,8]=>[2,2,2,2]=>10101010=>7 [7,4,6,2,3,1,8,5]=>[2,5,3,7,6,8,1,4]=>[2,2,2,2]=>10101010=>7 [6,2,3,1,7,4,8,5]=>[3,7,6,8,2,5,1,4]=>[2,2,2,2]=>10101010=>7 [5,2,3,1,7,4,8,6]=>[4,7,6,8,2,5,1,3]=>[2,2,2,2]=>10101010=>7 [4,2,3,1,7,5,8,6]=>[5,7,6,8,2,4,1,3]=>[2,2,2,2]=>10101010=>7 [3,1,4,2,8,6,7,5]=>[6,8,5,7,1,3,2,4]=>[2,2,2,2]=>10101010=>7 [6,2,3,1,8,5,7,4]=>[3,7,6,8,1,4,2,5]=>[2,2,2,2]=>10101010=>7 [8,5,6,2,3,1,7,4]=>[1,4,3,7,6,8,2,5]=>[2,2,2,2]=>10101010=>7 [7,4,8,5,6,2,3,1]=>[2,5,1,4,3,7,6,8]=>[2,2,2,2]=>10101010=>7 [7,3,8,5,6,2,4,1]=>[2,6,1,4,3,7,5,8]=>[2,2,2,2]=>10101010=>7 [8,5,6,2,4,1,7,3]=>[1,4,3,7,5,8,2,6]=>[2,2,2,2]=>10101010=>7 [5,2,4,1,8,6,7,3]=>[4,7,5,8,1,3,2,6]=>[2,2,2,2]=>10101010=>7 [4,1,5,2,8,6,7,3]=>[5,8,4,7,1,3,2,6]=>[2,2,2,2]=>10101010=>7 [3,1,5,2,8,6,7,4]=>[6,8,4,7,1,3,2,5]=>[2,2,2,2]=>10101010=>7 [2,1,6,3,8,5,7,4]=>[7,8,3,6,1,4,2,5]=>[2,2,2,2]=>10101010=>7 [3,1,6,2,8,5,7,4]=>[6,8,3,7,1,4,2,5]=>[2,2,2,2]=>10101010=>7 [4,1,6,2,8,5,7,3]=>[5,8,3,7,1,4,2,6]=>[2,2,2,2]=>10101010=>7 [5,1,6,2,8,4,7,3]=>[4,8,3,7,1,5,2,6]=>[2,2,2,2]=>10101010=>7 [8,4,6,2,5,1,7,3]=>[1,5,3,7,4,8,2,6]=>[2,2,2,2]=>10101010=>7 [7,3,8,4,6,2,5,1]=>[2,6,1,5,3,7,4,8]=>[2,2,2,2]=>10101010=>7 [6,2,7,3,8,4,5,1]=>[3,7,2,6,1,5,4,8]=>[2,2,2,2]=>10101010=>7 [8,4,5,1,6,2,7,3]=>[1,5,4,8,3,7,2,6]=>[2,2,2,2]=>10101010=>7 [5,1,8,4,6,2,7,3]=>[4,8,1,5,3,7,2,6]=>[2,2,2,2]=>10101010=>7 [4,1,8,5,6,2,7,3]=>[5,8,1,4,3,7,2,6]=>[2,2,2,2]=>10101010=>7 [3,1,8,5,6,2,7,4]=>[6,8,1,4,3,7,2,5]=>[2,2,2,2]=>10101010=>7 [2,1,8,5,6,3,7,4]=>[7,8,1,4,3,6,2,5]=>[2,2,2,2]=>10101010=>7 [2,1,7,4,8,5,6,3]=>[7,8,2,5,1,4,3,6]=>[2,2,2,2]=>10101010=>7 [3,1,7,4,8,5,6,2]=>[6,8,2,5,1,4,3,7]=>[2,2,2,2]=>10101010=>7 [4,1,7,3,8,5,6,2]=>[5,8,2,6,1,4,3,7]=>[2,2,2,2]=>10101010=>7 [7,3,8,4,5,1,6,2]=>[2,6,1,5,4,8,3,7]=>[2,2,2,2]=>10101010=>7 [8,4,5,1,7,3,6,2]=>[1,5,4,8,2,6,3,7]=>[2,2,2,2]=>10101010=>7 [7,3,6,2,8,4,5,1]=>[2,6,3,7,1,5,4,8]=>[2,2,2,2]=>10101010=>7 [7,8,5,6,1,3,4,2]=>[2,1,4,3,8,6,5,7]=>[1,2,2,1,2]=>11010110=>5 [7,8,1,3,6,2,5,4]=>[2,1,8,6,3,7,4,5]=>[1,2,1,2,2]=>11011010=>5 [1,3,8,4,7,2,5,6]=>[8,6,1,5,2,7,4,3]=>[1,1,2,2,1,1]=>11101011=>4 [3,6,1,4,7,2,5,8]=>[6,3,8,5,2,7,4,1]=>[1,2,1,2,1,1]=>11011011=>4 [4,6,1,2,5,7,3,8]=>[5,3,8,7,4,2,6,1]=>[1,2,1,1,2,1]=>11011101=>4 [1,4,8,2,5,7,3,6]=>[8,5,1,7,4,2,6,3]=>[1,1,2,1,2,1]=>11101101=>4 [7,8,2,4,5,6,1,3]=>[2,1,7,5,4,3,8,6]=>[1,2,1,1,2,1]=>11011101=>4 [7,8,1,5,4,6,3,2]=>[2,1,8,4,5,3,6,7]=>[1,2,2,3]=>11010100=>5 [7,8,2,1,6,3,4,5]=>[2,1,7,8,3,6,5,4]=>[1,3,2,1,1]=>11001011=>4 [7,8,3,5,6,4,1,2]=>[2,1,6,4,3,5,8,7]=>[1,2,1,3,1]=>11011001=>4 [7,8,5,1,4,2,6,3]=>[2,1,4,8,5,7,3,6]=>[1,3,2,2]=>11001010=>5 [7,8,4,5,3,1,6,2]=>[2,1,5,4,6,8,3,7]=>[1,2,3,2]=>11010010=>5 [1,5,8,4,3,2,7,6]=>[8,4,1,5,6,7,2,3]=>[1,1,4,2]=>11100010=>3 [5,6,1,4,3,2,7,8]=>[4,3,8,5,6,7,2,1]=>[1,2,3,1,1]=>11010011=>4 [2,6,4,8,3,7,1,5]=>[7,3,5,1,6,2,8,4]=>[1,2,2,2,1]=>11010101=>6 [1,4,6,8,3,7,5,2]=>[8,5,3,1,6,2,4,7]=>[1,1,1,2,3]=>11110100=>3 [2,5,8,1,4,7,6,3]=>[7,4,1,8,5,2,3,6]=>[1,1,2,1,3]=>11101100=>3 [3,5,8,4,7,6,1,2]=>[6,4,1,5,2,3,8,7]=>[1,1,2,3,1]=>11101001=>4 [1,6,2,4,7,3,8,5]=>[8,3,7,5,2,6,1,4]=>[1,2,1,2,2]=>11011010=>5 [5,6,2,1,4,7,8,3]=>[4,3,7,8,5,2,1,6]=>[1,3,1,1,2]=>11001110=>3 [4,6,2,5,3,1,8,7]=>[5,3,7,4,6,8,1,2]=>[1,2,3,2]=>11010010=>5 [4,7,5,1,3,6,8,2]=>[5,2,4,8,6,3,1,7]=>[1,3,1,1,2]=>11001110=>3 [7,5,3,6,2,4,1,8]=>[2,4,6,3,7,5,8,1]=>[3,2,2,1]=>10010101=>6 [5,7,3,6,1,4,8,2]=>[4,2,6,3,8,5,1,7]=>[1,2,2,1,2]=>11010110=>5 [5,3,6,7,2,1,8,4]=>[4,6,3,2,7,8,1,5]=>[2,1,3,2]=>10110010=>5 [6,1,7,5,2,4,8,3]=>[3,8,2,4,7,5,1,6]=>[2,3,1,2]=>10100110=>5 [1,4,7,2,5,3,8,6]=>[8,5,2,7,4,6,1,3]=>[1,1,2,2,2]=>11101010=>5 [4,6,7,8,3,5,1,2]=>[5,3,2,1,6,4,8,7]=>[1,1,1,2,2,1]=>11110101=>4 [1,6,7,5,8,2,4,3]=>[8,3,2,4,1,7,5,6]=>[1,1,2,2,2]=>11101010=>5 [3,5,6,7,8,1,4,2]=>[6,4,3,2,1,8,5,7]=>[1,1,1,1,2,2]=>11111010=>3 [3,6,5,7,8,2,1,4]=>[6,3,4,2,1,7,8,5]=>[1,2,1,3,1]=>11011001=>4 [5,2,7,6,1,4,3,8]=>[4,7,2,3,8,5,6,1]=>[2,3,2,1]=>10100101=>6 [2,7,5,6,8,4,1,3]=>[7,2,4,3,1,5,8,6]=>[1,2,1,3,1]=>11011001=>4 [2,1,6,8,4,5,3,7]=>[7,8,3,1,5,4,6,2]=>[2,1,2,2,1]=>10110101=>6 [2,7,1,8,5,3,4,6]=>[7,2,8,1,4,6,5,3]=>[1,2,3,1,1]=>11010011=>4 [3,7,6,8,5,4,1,2]=>[6,2,3,1,4,5,8,7]=>[1,2,4,1]=>11010001=>4 [4,3,8,5,6,7,1,2]=>[5,6,1,4,3,2,8,7]=>[2,2,1,2,1]=>10101101=>6 [3,1,8,5,4,6,7,2]=>[6,8,1,4,5,3,2,7]=>[2,3,1,2]=>10100110=>5 [3,2,8,4,5,6,1,7]=>[6,7,1,5,4,3,8,2]=>[2,2,1,2,1]=>10101101=>6 [3,4,7,1,5,2,6,8]=>[6,5,2,8,4,7,3,1]=>[1,1,2,2,1,1]=>11101011=>4 [4,3,7,8,1,2,6,5]=>[5,6,2,1,8,7,3,4]=>[2,1,2,1,2]=>10110110=>5 [1,7,3,8,5,2,6,4]=>[8,2,6,1,4,7,3,5]=>[1,2,3,2]=>11010010=>5 [4,1,8,3,6,2,5,7]=>[5,8,1,6,3,7,4,2]=>[2,2,2,1,1]=>10101011=>6 [5,7,8,6,3,2,1,4]=>[4,2,1,3,6,7,8,5]=>[1,1,5,1]=>11100001=>2 [5,7,8,6,1,3,4,2]=>[4,2,1,3,8,6,5,7]=>[1,1,3,1,2]=>11100110=>3 [7,6,5,8,1,3,4,2]=>[2,3,4,1,8,6,5,7]=>[3,2,1,2]=>10010110=>5 [1,6,4,3,8,2,5,7]=>[8,3,5,6,1,7,4,2]=>[1,3,2,1,1]=>11001011=>4 [7,1,3,4,8,2,6,5]=>[2,8,6,5,1,7,3,4]=>[2,1,1,2,2]=>10111010=>5 [3,6,5,4,1,2,7,8]=>[6,3,4,5,8,7,2,1]=>[1,4,1,1,1]=>11000111=>2 [2,4,5,1,7,8,6,3]=>[7,5,4,8,2,1,3,6]=>[1,1,2,1,3]=>11101100=>3 [2,6,3,4,5,8,1,7]=>[7,3,6,5,4,1,8,2]=>[1,2,1,1,2,1]=>11011101=>4 [7,3,6,4,8,5,1,2]=>[2,6,3,5,1,4,8,7]=>[2,2,3,1]=>10101001=>6 [7,2,1,4,8,3,5,6]=>[2,7,8,5,1,6,4,3]=>[3,1,2,1,1]=>10011011=>4 [7,1,6,5,3,8,4,2]=>[2,8,3,4,6,1,5,7]=>[2,3,3]=>10100100=>5 [7,2,5,6,3,8,1,4]=>[2,7,4,3,6,1,8,5]=>[2,1,2,2,1]=>10110101=>6 [6,5,2,7,1,8,4,3]=>[3,4,7,2,8,1,5,6]=>[3,2,3]=>10010100=>5 [5,6,2,7,3,1,4,8]=>[4,3,7,2,6,8,5,1]=>[1,2,3,1,1]=>11010011=>4 [5,7,6,4,1,8,3,2]=>[4,2,3,5,8,1,6,7]=>[1,4,3]=>11000100=>3 [6,7,1,5,2,8,3,4]=>[3,2,8,4,7,1,6,5]=>[1,2,2,2,1]=>11010101=>6 [6,1,5,2,8,3,4,7]=>[3,8,4,7,1,6,5,2]=>[2,2,2,1,1]=>10101011=>6 [6,7,5,3,8,4,1,2]=>[3,2,4,6,1,5,8,7]=>[1,3,3,1]=>11001001=>4 [1,6,5,4,2,3,8,7]=>[8,3,4,5,7,6,1,2]=>[1,4,1,2]=>11000110=>3 [7,6,1,5,3,2,8,4]=>[2,3,8,4,6,7,1,5]=>[3,3,2]=>10010010=>5 [6,7,5,4,3,1,8,2]=>[3,2,4,5,6,8,1,7]=>[1,5,2]=>11000010=>3 [7,5,2,4,3,1,6,8]=>[2,4,7,5,6,8,3,1]=>[3,3,1,1]=>10010011=>4 [7,4,6,1,2,5,3,8]=>[2,5,3,8,7,4,6,1]=>[2,2,1,2,1]=>10101101=>6 [7,1,4,2,5,3,6,8]=>[2,8,5,7,4,6,3,1]=>[2,2,2,1,1]=>10101011=>6 [6,8,1,4,2,5,7,3]=>[3,1,8,5,7,4,2,6]=>[1,2,2,1,2]=>11010110=>5 [1,6,4,2,5,7,3,8]=>[8,3,5,7,4,2,6,1]=>[1,3,1,2,1]=>11001101=>4 [1,6,3,7,5,4,2,8]=>[8,3,6,2,4,5,7,1]=>[1,2,4,1]=>11010001=>4 [6,8,1,3,7,5,4,2]=>[3,1,8,6,2,4,5,7]=>[1,2,1,4]=>11011000=>3 [7,1,3,5,6,4,2,8]=>[2,8,6,4,3,5,7,1]=>[2,1,1,3,1]=>10111001=>4 [7,3,1,6,4,5,2,8]=>[2,6,8,3,5,4,7,1]=>[3,2,2,1]=>10010101=>6 [7,4,2,6,5,1,3,8]=>[2,5,7,3,4,8,6,1]=>[3,3,1,1]=>10010011=>4 [7,4,6,3,1,5,2,8]=>[2,5,3,6,8,4,7,1]=>[2,3,2,1]=>10100101=>6 [7,2,4,1,5,3,6,8]=>[2,7,5,8,4,6,3,1]=>[2,2,2,1,1]=>10101011=>6 [7,2,3,5,4,1,6,8]=>[2,7,6,4,5,8,3,1]=>[2,1,3,1,1]=>10110011=>4 [6,8,1,2,3,4,7,5]=>[3,1,8,7,6,5,2,4]=>[1,2,1,1,1,2]=>11011110=>3 [1,5,7,2,3,8,6,4]=>[8,4,2,7,6,1,3,5]=>[1,1,2,1,3]=>11101100=>3 [5,1,8,2,3,6,7,4]=>[4,8,1,7,6,3,2,5]=>[2,2,1,1,2]=>10101110=>5 [5,8,2,3,7,6,4,1]=>[4,1,7,6,2,3,5,8]=>[1,2,1,4]=>11011000=>3 [6,2,8,1,3,7,4,5]=>[3,7,1,8,6,2,5,4]=>[2,2,1,2,1]=>10101101=>6 [6,8,2,3,5,4,7,1]=>[3,1,7,6,4,5,2,8]=>[1,2,1,2,2]=>11011010=>5 [6,8,2,4,1,5,7,3]=>[3,1,7,5,8,4,2,6]=>[1,2,2,1,2]=>11010110=>5 [6,8,3,1,2,4,7,5]=>[3,1,6,8,7,5,2,4]=>[1,3,1,1,2]=>11001110=>3 [2,6,4,1,5,7,3,8]=>[7,3,5,8,4,2,6,1]=>[1,3,1,2,1]=>11001101=>4 [2,6,3,5,7,1,4,8]=>[7,3,6,4,2,8,5,1]=>[1,2,1,2,1,1]=>11011011=>4 [2,5,1,7,8,3,6,4]=>[7,4,8,2,1,6,3,5]=>[1,2,1,2,2]=>11011010=>5 [2,5,3,6,8,4,7,1]=>[7,4,6,3,1,5,2,8]=>[1,2,1,2,2]=>11011010=>5 [2,1,4,7,8,5,6,3]=>[7,8,5,2,1,4,3,6]=>[2,1,1,2,2]=>10111010=>5 [2,4,7,6,8,5,1,3]=>[7,5,2,3,1,4,8,6]=>[1,1,2,3,1]=>11101001=>4 [2,5,3,7,6,1,8,4]=>[7,4,6,2,3,8,1,5]=>[1,2,3,2]=>11010010=>5 [2,5,7,8,1,4,6,3]=>[7,4,2,1,8,5,3,6]=>[1,1,1,2,1,2]=>11110110=>3 [3,5,7,4,1,6,2,8]=>[6,4,2,5,8,3,7,1]=>[1,1,3,2,1]=>11100101=>4 [5,3,4,1,8,6,7,2]=>[4,6,5,8,1,3,2,7]=>[2,2,2,2]=>10101010=>7 [5,2,8,4,6,1,7,3]=>[4,7,1,5,3,8,2,6]=>[2,2,2,2]=>10101010=>7 [5,2,1,8,6,3,7,4]=>[4,7,8,1,3,6,2,5]=>[3,3,2]=>10010010=>5 [4,2,8,6,5,3,7,1]=>[5,7,1,3,4,6,2,8]=>[2,4,2]=>10100010=>5 [4,2,8,5,7,6,3,1]=>[5,7,1,4,2,3,6,8]=>[2,2,4]=>10101000=>5 [1,4,2,7,5,8,6,3]=>[8,5,7,2,4,1,3,6]=>[1,2,2,3]=>11010100=>5 [4,1,8,6,7,5,3,2]=>[5,8,1,3,2,4,6,7]=>[2,2,4]=>10101000=>5 [5,3,8,7,6,2,4,1]=>[4,6,1,2,3,7,5,8]=>[2,4,2]=>10100010=>5 [5,8,4,7,6,2,1,3]=>[4,1,5,2,3,7,8,6]=>[1,2,4,1]=>11010001=>4 [5,8,7,4,3,6,1,2]=>[4,1,2,5,6,3,8,7]=>[1,4,2,1]=>11000101=>4 [6,4,8,3,1,7,2,5]=>[3,5,1,6,8,2,7,4]=>[2,3,2,1]=>10100101=>6 [6,4,2,8,7,1,3,5]=>[3,5,7,1,2,8,6,4]=>[3,3,1,1]=>10010011=>4 [6,3,8,7,2,5,1,4]=>[3,6,1,2,7,4,8,5]=>[2,3,2,1]=>10100101=>6 [5,8,3,7,1,6,4,2]=>[4,1,6,2,8,3,5,7]=>[1,2,2,3]=>11010100=>5 [5,1,3,8,6,7,2,4]=>[4,8,6,1,3,2,7,5]=>[2,1,2,2,1]=>10110101=>6 [1,5,3,7,8,6,2,4]=>[8,4,6,2,1,3,7,5]=>[1,2,1,3,1]=>11011001=>4 [1,5,7,6,4,2,8,3]=>[8,4,2,3,5,7,1,6]=>[1,1,4,2]=>11100010=>3 [5,8,7,4,1,6,2,3]=>[4,1,2,5,8,3,7,6]=>[1,4,2,1]=>11000101=>4 [6,4,8,1,2,7,3,5]=>[3,5,1,8,7,2,6,4]=>[2,2,1,2,1]=>10101101=>6 [6,8,5,1,2,3,7,4]=>[3,1,4,8,7,6,2,5]=>[1,3,1,1,2]=>11001110=>3 [6,8,5,2,4,3,7,1]=>[3,1,4,7,5,6,2,8]=>[1,3,2,2]=>11001010=>5 [6,8,5,3,1,2,7,4]=>[3,1,4,6,8,7,2,5]=>[1,4,1,2]=>11000110=>3 [4,5,1,2,7,6,3,8]=>[5,4,8,7,2,3,6,1]=>[1,2,1,3,1]=>11011001=>4 [4,5,1,2,6,8,7,3]=>[5,4,8,7,3,1,2,6]=>[1,2,1,1,3]=>11011100=>3 [3,5,6,1,8,4,7,2]=>[6,4,3,8,1,5,2,7]=>[1,1,2,2,2]=>11101010=>5 [3,5,7,1,2,8,6,4]=>[6,4,2,8,7,1,3,5]=>[1,1,2,1,3]=>11101100=>3 [3,6,2,7,5,1,4,8]=>[6,3,7,2,4,8,5,1]=>[1,2,3,1,1]=>11010011=>4 [4,2,6,1,7,3,5,8]=>[5,7,3,8,2,6,4,1]=>[2,2,2,1,1]=>10101011=>6 [4,6,3,1,2,7,5,8]=>[5,3,6,8,7,2,4,1]=>[1,3,1,2,1]=>11001101=>4 [4,5,3,1,7,6,2,8]=>[5,4,6,8,2,3,7,1]=>[1,3,3,1]=>11001001=>4 [4,2,5,7,1,6,3,8]=>[5,7,4,2,8,3,6,1]=>[2,1,2,2,1]=>10110101=>6 [3,5,2,7,8,1,6,4]=>[6,4,7,2,1,8,3,5]=>[1,2,1,2,2]=>11011010=>5 [3,1,4,7,5,6,2,8]=>[6,8,5,2,4,3,7,1]=>[2,1,2,2,1]=>10110101=>6 [3,4,6,5,8,7,1,2]=>[6,5,3,4,1,2,8,7]=>[1,1,2,3,1]=>11101001=>4 [3,1,4,5,8,6,7,2]=>[6,8,5,4,1,3,2,7]=>[2,1,1,2,2]=>10111010=>5 [3,4,6,8,5,2,7,1]=>[6,5,3,1,4,7,2,8]=>[1,1,1,3,2]=>11110010=>3 [3,5,6,2,8,4,7,1]=>[6,4,3,7,1,5,2,8]=>[1,1,2,2,2]=>11101010=>5 [4,2,5,6,1,8,7,3]=>[5,7,4,3,8,1,2,6]=>[2,1,2,3]=>10110100=>5 [4,5,3,1,6,8,7,2]=>[5,4,6,8,3,1,2,7]=>[1,3,1,3]=>11001100=>3 [2,1,7,5,8,6,4,3]=>[7,8,2,4,1,3,5,6]=>[2,2,4]=>10101000=>5 [1,2,7,5,3,8,6,4]=>[8,7,2,4,6,1,3,5]=>[1,1,3,3]=>11100100=>3 [4,1,2,7,3,8,6,5]=>[5,8,7,2,6,1,3,4]=>[2,1,2,3]=>10110100=>5 [6,4,1,7,5,2,3,8]=>[3,5,8,2,4,7,6,1]=>[3,3,1,1]=>10010011=>4 [6,1,3,7,5,2,4,8]=>[3,8,6,2,4,7,5,1]=>[2,1,3,1,1]=>10110011=>4 [3,1,2,6,8,5,4,7]=>[6,8,7,3,1,4,5,2]=>[2,1,1,3,1]=>10111001=>4 [3,7,1,2,5,4,8,6]=>[6,2,8,7,4,5,1,3]=>[1,2,1,2,2]=>11011010=>5 [1,3,7,2,4,8,6,5]=>[8,6,2,7,5,1,3,4]=>[1,1,2,1,3]=>11101100=>3 [2,4,1,7,8,6,5,3]=>[7,5,8,2,1,3,4,6]=>[1,2,1,4]=>11011000=>3 [3,4,7,5,1,8,6,2]=>[6,5,2,4,8,1,3,7]=>[1,1,3,3]=>11100100=>3 [2,7,4,1,5,8,6,3]=>[7,2,5,8,4,1,3,6]=>[1,3,1,3]=>11001100=>3 [2,3,7,1,5,8,6,4]=>[7,6,2,8,4,1,3,5]=>[1,1,2,1,3]=>11101100=>3 [5,2,8,1,3,7,4,6]=>[4,7,1,8,6,2,5,3]=>[2,2,1,2,1]=>10101101=>6 [2,1,6,8,3,4,7,5]=>[7,8,3,1,6,5,2,4]=>[2,1,2,1,2]=>10110110=>5 [2,6,8,3,1,5,7,4]=>[7,3,1,6,8,4,2,5]=>[1,1,3,1,2]=>11100110=>3 [2,8,6,4,1,5,7,3]=>[7,1,3,5,8,4,2,6]=>[1,4,1,2]=>11000110=>3 [3,6,4,8,5,1,7,2]=>[6,3,5,1,4,8,2,7]=>[1,2,3,2]=>11010010=>5 [6,3,7,4,5,1,8,2]=>[3,6,2,5,4,8,1,7]=>[2,2,2,2]=>10101010=>7 [2,6,3,7,5,8,1,4]=>[7,3,6,2,4,1,8,5]=>[1,2,2,2,1]=>11010101=>6 [5,2,1,7,8,3,4,6]=>[4,7,8,2,1,6,5,3]=>[3,1,2,1,1]=>10011011=>4 [4,7,2,3,6,8,1,5]=>[5,2,7,6,3,1,8,4]=>[1,2,1,1,2,1]=>11011101=>4 [5,2,7,3,6,8,1,4]=>[4,7,2,6,3,1,8,5]=>[2,2,1,2,1]=>10101101=>6 [5,7,4,6,2,8,1,3]=>[4,2,5,3,7,1,8,6]=>[1,2,2,2,1]=>11010101=>6 [5,7,3,4,6,1,8,2]=>[4,2,6,5,3,8,1,7]=>[1,2,1,2,2]=>11011010=>5 [5,3,8,4,6,1,7,2]=>[4,6,1,5,3,8,2,7]=>[2,2,2,2]=>10101010=>7 [8,5,2,4,1,6,7,3]=>[1,4,7,5,8,3,2,6]=>[3,2,1,2]=>10010110=>5 [8,2,3,5,1,6,7,4]=>[1,7,6,4,8,3,2,5]=>[2,1,2,1,2]=>10110110=>5 [4,2,8,3,6,7,1,5]=>[5,7,1,6,3,2,8,4]=>[2,2,1,2,1]=>10101101=>6 [2,4,8,1,7,3,5,6]=>[7,5,1,8,2,6,4,3]=>[1,1,2,2,1,1]=>11101011=>4 [8,4,1,3,6,2,5,7]=>[1,5,8,6,3,7,4,2]=>[3,1,2,1,1]=>10011011=>4 [4,8,3,1,7,2,5,6]=>[5,1,6,8,2,7,4,3]=>[1,3,2,1,1]=>11001011=>4 [5,2,8,4,7,1,6,3]=>[4,7,1,5,2,8,3,6]=>[2,2,2,2]=>10101010=>7 [5,8,4,7,3,1,6,2]=>[4,1,5,2,6,8,3,7]=>[1,2,3,2]=>11010010=>5 [4,6,8,3,1,7,5,2]=>[5,3,1,6,8,2,4,7]=>[1,1,3,3]=>11100100=>3 [6,3,8,2,7,1,5,4]=>[3,6,1,7,2,8,4,5]=>[2,2,2,2]=>10101010=>7 [6,3,1,8,2,4,7,5]=>[3,6,8,1,7,5,2,4]=>[3,2,1,2]=>10010110=>5 [5,3,8,1,2,6,4,7]=>[4,6,1,8,7,3,5,2]=>[2,2,1,2,1]=>10101101=>6 [5,7,4,1,6,2,3,8]=>[4,2,5,8,3,7,6,1]=>[1,3,2,1,1]=>11001011=>4 [8,5,4,1,2,6,3,7]=>[1,4,5,8,7,3,6,2]=>[4,1,2,1]=>10001101=>4 [5,1,8,4,2,7,3,6]=>[4,8,1,5,7,2,6,3]=>[2,3,2,1]=>10100101=>6 [1,6,2,8,5,3,7,4]=>[8,3,7,1,4,6,2,5]=>[1,2,3,2]=>11010010=>5 [6,8,5,3,1,7,4,2]=>[3,1,4,6,8,2,5,7]=>[1,4,3]=>11000100=>3 [8,4,5,1,2,6,3,7]=>[1,5,4,8,7,3,6,2]=>[2,2,1,2,1]=>10101101=>6 [5,6,3,7,1,2,4,8]=>[4,3,6,2,8,7,5,1]=>[1,2,2,1,1,1]=>11010111=>4 [1,6,3,7,2,8,4,5]=>[8,3,6,2,7,1,5,4]=>[1,2,2,2,1]=>11010101=>6 [6,3,2,7,8,5,1,4]=>[3,6,7,2,1,4,8,5]=>[3,1,3,1]=>10011001=>4 [4,5,7,8,3,1,6,2]=>[5,4,2,1,6,8,3,7]=>[1,1,1,3,2]=>11110010=>3 [4,7,2,5,8,1,6,3]=>[5,2,7,4,1,8,3,6]=>[1,2,1,2,2]=>11011010=>5 [8,1,3,4,6,2,5,7]=>[1,8,6,5,3,7,4,2]=>[2,1,1,2,1,1]=>10111011=>4 [3,8,2,4,6,7,1,5]=>[6,1,7,5,3,2,8,4]=>[1,2,1,1,2,1]=>11011101=>4 [3,5,6,8,2,7,1,4]=>[6,4,3,1,7,2,8,5]=>[1,1,1,2,2,1]=>11110101=>4 [2,4,5,6,8,1,7,3]=>[7,5,4,3,1,8,2,6]=>[1,1,1,1,2,2]=>11111010=>3 [4,8,3,5,6,1,7,2]=>[5,1,6,4,3,8,2,7]=>[1,2,1,2,2]=>11011010=>5 [5,6,2,3,7,8,1,4]=>[4,3,7,6,2,1,8,5]=>[1,2,1,1,2,1]=>11011101=>4 [5,8,7,3,4,1,2,6]=>[4,1,2,6,5,8,7,3]=>[1,3,2,1,1]=>11001011=>4 [6,8,7,3,4,1,2,5]=>[3,1,2,6,5,8,7,4]=>[1,3,2,1,1]=>11001011=>4 [6,8,4,7,1,5,3,2]=>[3,1,5,2,8,4,6,7]=>[1,2,2,3]=>11010100=>5 [6,8,4,7,2,5,3,1]=>[3,1,5,2,7,4,6,8]=>[1,2,2,3]=>11010100=>5 [5,4,8,7,2,6,3,1]=>[4,5,1,2,7,3,6,8]=>[2,3,3]=>10100100=>5 [5,4,8,7,1,6,3,2]=>[4,5,1,2,8,3,6,7]=>[2,3,3]=>10100100=>5 [5,3,8,7,6,1,2,4]=>[4,6,1,2,3,8,7,5]=>[2,4,1,1]=>10100011=>4 [4,3,8,7,6,1,2,5]=>[5,6,1,2,3,8,7,4]=>[2,4,1,1]=>10100011=>4 [4,8,3,7,5,1,2,6]=>[5,1,6,2,4,8,7,3]=>[1,2,3,1,1]=>11010011=>4 [8,3,4,6,5,1,2,7]=>[1,6,5,3,4,8,7,2]=>[2,1,3,1,1]=>10110011=>4 [3,8,4,7,5,1,2,6]=>[6,1,5,2,4,8,7,3]=>[1,2,3,1,1]=>11010011=>4 [3,4,8,7,6,1,2,5]=>[6,5,1,2,3,8,7,4]=>[1,1,4,1,1]=>11100011=>2 [3,5,8,7,6,1,2,4]=>[6,4,1,2,3,8,7,5]=>[1,1,4,1,1]=>11100011=>2 [4,5,8,7,6,1,2,3]=>[5,4,1,2,3,8,7,6]=>[1,1,4,1,1]=>11100011=>2 [4,5,8,7,1,6,3,2]=>[5,4,1,2,8,3,6,7]=>[1,1,3,3]=>11100100=>3 [4,5,8,7,2,6,3,1]=>[5,4,1,2,7,3,6,8]=>[1,1,3,3]=>11100100=>3 [3,5,8,2,7,6,4,1]=>[6,4,1,7,2,3,5,8]=>[1,1,2,4]=>11101000=>3 [3,5,8,1,7,6,4,2]=>[6,4,1,8,2,3,5,7]=>[1,1,2,4]=>11101000=>3 [2,5,8,1,7,6,4,3]=>[7,4,1,8,2,3,5,6]=>[1,1,2,4]=>11101000=>3 [2,5,8,7,1,6,3,4]=>[7,4,1,2,8,3,6,5]=>[1,1,3,2,1]=>11100101=>4 [2,4,8,7,1,6,3,5]=>[7,5,1,2,8,3,6,4]=>[1,1,3,2,1]=>11100101=>4 [2,8,4,7,1,5,3,6]=>[7,1,5,2,8,4,6,3]=>[1,2,2,2,1]=>11010101=>6 [8,2,4,6,1,5,3,7]=>[1,7,5,3,8,4,6,2]=>[2,1,2,2,1]=>10110101=>6 [8,1,4,6,2,5,3,7]=>[1,8,5,3,7,4,6,2]=>[2,1,2,2,1]=>10110101=>6 [1,8,4,7,2,5,3,6]=>[8,1,5,2,7,4,6,3]=>[1,2,2,2,1]=>11010101=>6 [1,4,8,7,2,6,3,5]=>[8,5,1,2,7,3,6,4]=>[1,1,3,2,1]=>11100101=>4 [1,5,8,7,2,6,3,4]=>[8,4,1,2,7,3,6,5]=>[1,1,3,2,1]=>11100101=>4 [1,5,8,2,7,6,4,3]=>[8,4,1,7,2,3,5,6]=>[1,1,2,4]=>11101000=>3 [2,5,8,3,7,6,4,1]=>[7,4,1,6,2,3,5,8]=>[1,1,2,4]=>11101000=>3 [1,4,2,8,7,6,5,3]=>[8,5,7,1,2,3,4,6]=>[1,2,5]=>11010000=>3 [1,3,8,2,7,6,4,5]=>[8,6,1,7,2,3,5,4]=>[1,1,2,3,1]=>11101001=>4 [1,8,3,2,7,5,4,6]=>[8,1,6,7,2,4,5,3]=>[1,3,3,1]=>11001001=>4 [8,1,3,2,6,5,4,7]=>[1,8,6,7,3,4,5,2]=>[2,2,3,1]=>10101001=>6 [8,2,3,1,6,5,4,7]=>[1,7,6,8,3,4,5,2]=>[2,2,3,1]=>10101001=>6 [2,8,3,1,7,5,4,6]=>[7,1,6,8,2,4,5,3]=>[1,3,3,1]=>11001001=>4 [2,3,8,1,7,6,4,5]=>[7,6,1,8,2,3,5,4]=>[1,1,2,3,1]=>11101001=>4 [3,4,1,8,7,6,5,2]=>[6,5,8,1,2,3,4,7]=>[1,2,5]=>11010000=>3 [4,3,1,8,7,6,5,2]=>[5,6,8,1,2,3,4,7]=>[3,5]=>10010000=>3 [4,2,1,8,7,6,5,3]=>[5,7,8,1,2,3,4,6]=>[3,5]=>10010000=>3 [3,8,2,1,7,5,4,6]=>[6,1,7,8,2,4,5,3]=>[1,3,3,1]=>11001001=>4 [8,3,2,1,6,5,4,7]=>[1,6,7,8,3,4,5,2]=>[4,3,1]=>10001001=>4 [8,4,2,6,1,5,3,7]=>[1,5,7,3,8,4,6,2]=>[3,2,2,1]=>10010101=>6 [4,2,8,7,1,6,3,5]=>[5,7,1,2,8,3,6,4]=>[2,3,2,1]=>10100101=>6 [5,2,8,7,1,6,3,4]=>[4,7,1,2,8,3,6,5]=>[2,3,2,1]=>10100101=>6 [5,2,8,1,7,6,4,3]=>[4,7,1,8,2,3,5,6]=>[2,2,4]=>10101000=>5 [5,3,8,1,7,6,4,2]=>[4,6,1,8,2,3,5,7]=>[2,2,4]=>10101000=>5 [5,3,8,2,7,6,4,1]=>[4,6,1,7,2,3,5,8]=>[2,2,4]=>10101000=>5 [6,8,3,2,7,5,4,1]=>[3,1,6,7,2,4,5,8]=>[1,3,4]=>11001000=>3 [6,8,3,1,7,5,4,2]=>[3,1,6,8,2,4,5,7]=>[1,3,4]=>11001000=>3 [6,8,2,1,7,5,4,3]=>[3,1,7,8,2,4,5,6]=>[1,3,4]=>11001000=>3 [6,8,2,7,1,5,3,4]=>[3,1,7,2,8,4,6,5]=>[1,2,2,2,1]=>11010101=>6 [6,8,7,2,1,4,3,5]=>[3,1,2,7,8,5,6,4]=>[1,4,2,1]=>11000101=>4 [8,5,6,1,2,4,3,7]=>[1,4,3,8,7,5,6,2]=>[2,2,1,2,1]=>10101101=>6 [5,8,7,1,2,4,3,6]=>[4,1,2,8,7,5,6,3]=>[1,3,1,2,1]=>11001101=>4 [6,8,1,2,7,5,4,3]=>[3,1,8,7,2,4,5,6]=>[1,2,1,4]=>11011000=>3 [6,8,2,3,7,5,4,1]=>[3,1,7,6,2,4,5,8]=>[1,2,1,4]=>11011000=>3 [5,2,8,3,7,6,4,1]=>[4,7,1,6,2,3,5,8]=>[2,2,4]=>10101000=>5 [5,1,8,3,7,6,4,2]=>[4,8,1,6,2,3,5,7]=>[2,2,4]=>10101000=>5 [5,1,8,7,2,6,3,4]=>[4,8,1,2,7,3,6,5]=>[2,3,2,1]=>10100101=>6 [4,1,8,7,2,6,3,5]=>[5,8,1,2,7,3,6,4]=>[2,3,2,1]=>10100101=>6 [4,8,1,7,2,5,3,6]=>[5,1,8,2,7,4,6,3]=>[1,2,2,2,1]=>11010101=>6 [8,4,1,6,2,5,3,7]=>[1,5,8,3,7,4,6,2]=>[3,2,2,1]=>10010101=>6 [8,3,1,2,6,5,4,7]=>[1,6,8,7,3,4,5,2]=>[3,1,3,1]=>10011001=>4 [3,8,1,2,7,5,4,6]=>[6,1,8,7,2,4,5,3]=>[1,2,1,3,1]=>11011001=>4 [3,1,8,2,7,6,4,5]=>[6,8,1,7,2,3,5,4]=>[2,2,3,1]=>10101001=>6 [3,1,2,8,7,6,5,4]=>[6,8,7,1,2,3,4,5]=>[2,1,5]=>10110000=>3 [4,1,3,8,7,6,5,2]=>[5,8,6,1,2,3,4,7]=>[2,1,5]=>10110000=>3 [3,1,4,8,7,6,5,2]=>[6,8,5,1,2,3,4,7]=>[2,1,5]=>10110000=>3 [2,1,8,3,7,6,4,5]=>[7,8,1,6,2,3,5,4]=>[2,2,3,1]=>10101001=>6 [2,8,1,3,7,5,4,6]=>[7,1,8,6,2,4,5,3]=>[1,2,1,3,1]=>11011001=>4 [8,2,1,3,6,5,4,7]=>[1,7,8,6,3,4,5,2]=>[3,1,3,1]=>10011001=>4 [8,1,2,3,6,5,4,7]=>[1,8,7,6,3,4,5,2]=>[2,1,1,3,1]=>10111001=>4 [1,8,2,3,7,5,4,6]=>[8,1,7,6,2,4,5,3]=>[1,2,1,3,1]=>11011001=>4 [1,2,8,3,7,6,4,5]=>[8,7,1,6,2,3,5,4]=>[1,1,2,3,1]=>11101001=>4 [1,4,3,6,8,2,5,7]=>[8,5,6,3,1,7,4,2]=>[1,2,1,2,1,1]=>11011011=>4 [3,1,6,2,5,8,4,7]=>[6,8,3,7,4,1,5,2]=>[2,2,1,2,1]=>10101101=>6 [3,5,1,8,2,4,7,6]=>[6,4,8,1,7,5,2,3]=>[1,2,2,1,2]=>11010110=>5 [1,4,5,2,8,3,7,6]=>[8,5,4,7,1,6,2,3]=>[1,1,2,2,2]=>11101010=>5 [1,4,2,6,5,8,3,7]=>[8,5,7,3,4,1,6,2]=>[1,2,2,2,1]=>11010101=>6 [1,5,4,2,6,8,3,7]=>[8,4,5,7,3,1,6,2]=>[1,3,1,2,1]=>11001101=>4 [3,1,6,5,8,2,4,7]=>[6,8,3,4,1,7,5,2]=>[2,2,2,1,1]=>10101011=>6 [1,6,4,2,5,8,3,7]=>[8,3,5,7,4,1,6,2]=>[1,3,1,2,1]=>11001101=>4 [1,5,2,6,4,8,3,7]=>[8,4,7,3,5,1,6,2]=>[1,2,2,2,1]=>11010101=>6 [1,2,6,5,4,8,3,7]=>[8,7,3,4,5,1,6,2]=>[1,1,3,2,1]=>11100101=>4 [1,2,5,4,7,3,8,6]=>[8,7,4,5,2,6,1,3]=>[1,1,2,2,2]=>11101010=>5 [4,1,2,6,3,8,7,5]=>[5,8,7,3,6,1,2,4]=>[2,1,2,3]=>10110100=>5 [7,1,5,4,2,8,3,6]=>[2,8,4,5,7,1,6,3]=>[2,3,2,1]=>10100101=>6 [1,4,7,5,2,8,3,6]=>[8,5,2,4,7,1,6,3]=>[1,1,3,2,1]=>11100101=>4 [7,1,3,5,2,8,4,6]=>[2,8,6,4,7,1,5,3]=>[2,1,2,2,1]=>10110101=>6 [7,2,5,1,8,3,4,6]=>[2,7,4,8,1,6,5,3]=>[2,2,2,1,1]=>10101011=>6 [1,4,5,2,8,7,3,6]=>[8,5,4,7,1,2,6,3]=>[1,1,2,3,1]=>11101001=>4 [1,6,4,2,8,3,7,5]=>[8,3,5,7,1,6,2,4]=>[1,3,2,2]=>11001010=>5 [1,4,2,8,3,7,6,5]=>[8,5,7,1,6,2,3,4]=>[1,2,2,3]=>11010100=>5 [1,2,5,3,8,7,6,4]=>[8,7,4,6,1,2,3,5]=>[1,1,2,4]=>11101000=>3 [1,2,8,6,5,3,7,4]=>[8,7,1,3,4,6,2,5]=>[1,1,4,2]=>11100010=>3 [1,5,2,8,6,3,7,4]=>[8,4,7,1,3,6,2,5]=>[1,2,3,2]=>11010010=>5 [1,6,4,2,8,7,3,5]=>[8,3,5,7,1,2,6,4]=>[1,3,3,1]=>11001001=>4 [6,2,1,8,7,3,4,5]=>[3,7,8,1,2,6,5,4]=>[3,3,1,1]=>10010011=>4 [7,3,1,6,2,8,4,5]=>[2,6,8,3,7,1,5,4]=>[3,2,2,1]=>10010101=>6 [1,7,6,4,2,8,3,5]=>[8,2,3,5,7,1,6,4]=>[1,4,2,1]=>11000101=>4 [1,7,5,2,6,3,8,4]=>[8,2,4,7,3,6,1,5]=>[1,3,2,2]=>11001010=>5 [1,6,2,7,5,3,8,4]=>[8,3,7,2,4,6,1,5]=>[1,2,3,2]=>11010010=>5 [1,2,7,6,5,3,8,4]=>[8,7,2,3,4,6,1,5]=>[1,1,4,2]=>11100010=>3 [1,2,6,5,3,8,7,4]=>[8,7,3,4,6,1,2,5]=>[1,1,3,3]=>11100100=>3 [1,5,2,6,3,8,7,4]=>[8,4,7,3,6,1,2,5]=>[1,2,2,3]=>11010100=>5 [1,5,2,7,6,3,8,4]=>[8,4,7,2,3,6,1,5]=>[1,2,3,2]=>11010010=>5 [1,6,5,2,7,3,8,4]=>[8,3,4,7,2,6,1,5]=>[1,3,2,2]=>11001010=>5 [1,5,7,4,2,8,3,6]=>[8,4,2,5,7,1,6,3]=>[1,1,3,2,1]=>11100101=>4 [4,1,2,8,6,3,7,5]=>[5,8,7,1,3,6,2,4]=>[2,1,3,2]=>10110010=>5 [3,1,8,6,2,4,7,5]=>[6,8,1,3,7,5,2,4]=>[2,3,1,2]=>10100110=>5 [4,3,7,1,8,2,5,6]=>[5,6,2,8,1,7,4,3]=>[2,2,2,1,1]=>10101011=>6 [8,3,1,6,2,4,7,5]=>[1,6,8,3,7,5,2,4]=>[3,2,1,2]=>10010110=>5 [7,1,8,3,2,4,6,5]=>[2,8,1,6,7,5,3,4]=>[2,3,1,2]=>10100110=>5 [1,8,7,3,2,4,6,5]=>[8,1,2,6,7,5,3,4]=>[1,4,1,2]=>11000110=>3 [1,4,2,8,7,3,6,5]=>[8,5,7,1,2,6,3,4]=>[1,2,3,2]=>11010010=>5 [1,7,4,2,8,3,6,5]=>[8,2,5,7,1,6,3,4]=>[1,3,2,2]=>11001010=>5 [8,1,5,4,2,7,3,6]=>[1,8,4,5,7,2,6,3]=>[2,3,2,1]=>10100101=>6 [1,4,8,5,2,7,3,6]=>[8,5,1,4,7,2,6,3]=>[1,1,3,2,1]=>11100101=>4 [8,5,3,1,7,2,4,6]=>[1,4,6,8,2,7,5,3]=>[4,2,1,1]=>10001011=>4 [8,6,2,1,7,3,4,5]=>[1,3,7,8,2,6,5,4]=>[4,2,1,1]=>10001011=>4 [1,8,6,4,2,7,3,5]=>[8,1,3,5,7,2,6,4]=>[1,4,2,1]=>11000101=>4 [1,8,5,2,6,3,7,4]=>[8,1,4,7,3,6,2,5]=>[1,3,2,2]=>11001010=>5 [1,5,2,7,3,8,6,4]=>[8,4,7,2,6,1,3,5]=>[1,2,2,3]=>11010100=>5 [1,2,8,5,3,7,6,4]=>[8,7,1,4,6,2,3,5]=>[1,1,3,3]=>11100100=>3 [1,2,6,3,8,7,5,4]=>[8,7,3,6,1,2,4,5]=>[1,1,2,4]=>11101000=>3 [1,2,7,6,3,8,5,4]=>[8,7,2,3,6,1,4,5]=>[1,1,3,3]=>11100100=>3 [1,6,2,7,3,8,5,4]=>[8,3,7,2,6,1,4,5]=>[1,2,2,3]=>11010100=>5 [1,7,2,8,5,3,6,4]=>[8,2,7,1,4,6,3,5]=>[1,2,3,2]=>11010010=>5 [1,7,4,2,8,6,3,5]=>[8,2,5,7,1,3,6,4]=>[1,3,3,1]=>11001001=>4 [7,1,8,3,2,6,4,5]=>[2,8,1,6,7,3,5,4]=>[2,3,2,1]=>10100101=>6 [7,2,1,8,6,3,4,5]=>[2,7,8,1,3,6,5,4]=>[3,3,1,1]=>10010011=>4 [1,8,7,3,2,6,4,5]=>[8,1,2,6,7,3,5,4]=>[1,4,2,1]=>11000101=>4 [1,4,2,8,7,6,3,5]=>[8,5,7,1,2,3,6,4]=>[1,2,4,1]=>11010001=>4 [1,2,8,7,5,3,6,4]=>[8,7,1,2,4,6,3,5]=>[1,1,4,2]=>11100010=>3 [1,2,8,6,3,7,5,4]=>[8,7,1,3,6,2,4,5]=>[1,1,3,3]=>11100100=>3 [1,2,7,3,8,6,5,4]=>[8,7,2,6,1,3,4,5]=>[1,1,2,4]=>11101000=>3 [4,1,7,3,6,5,8,2]=>[5,8,2,6,3,4,1,7]=>[2,2,2,2]=>10101010=>7 [5,1,8,7,6,2,4,3]=>[4,8,1,2,3,7,5,6]=>[2,4,2]=>10100010=>5 [8,1,7,6,3,4,5,2]=>[1,8,2,3,6,5,4,7]=>[2,3,1,2]=>10100110=>5 [5,7,8,6,2,4,1,3]=>[4,2,1,3,7,5,8,6]=>[1,1,3,2,1]=>11100101=>4 [5,7,1,6,2,4,3,8]=>[4,2,8,3,7,5,6,1]=>[1,2,2,2,1]=>11010101=>6 [6,4,1,5,2,7,3,8]=>[3,5,8,4,7,2,6,1]=>[3,2,2,1]=>10010101=>6 [8,1,4,5,3,7,6,2]=>[1,8,5,4,6,2,3,7]=>[2,1,2,3]=>10110100=>5 [6,1,4,5,3,8,7,2]=>[3,8,5,4,6,1,2,7]=>[2,1,2,3]=>10110100=>5 [6,1,4,5,3,7,8,2]=>[3,8,5,4,6,2,1,7]=>[2,1,2,1,2]=>10110110=>5 [5,1,7,8,6,2,4,3]=>[4,8,2,1,3,7,5,6]=>[2,1,3,2]=>10110010=>5 [6,1,4,8,3,5,7,2]=>[3,8,5,1,6,4,2,7]=>[2,1,2,1,2]=>10110110=>5 [7,1,8,6,3,4,5,2]=>[2,8,1,3,6,5,4,7]=>[2,3,1,2]=>10100110=>5 [7,1,4,5,3,8,6,2]=>[2,8,5,4,6,1,3,7]=>[2,1,2,3]=>10110100=>5 [7,1,4,5,3,6,8,2]=>[2,8,5,4,6,3,1,7]=>[2,1,2,1,2]=>10110110=>5 [8,1,4,5,3,6,7,2]=>[1,8,5,4,6,3,2,7]=>[2,1,2,1,2]=>10110110=>5 [7,4,1,5,2,6,3,8]=>[2,5,8,4,7,3,6,1]=>[3,2,2,1]=>10010101=>6 [6,3,5,7,2,1,4,8]=>[3,6,4,2,7,8,5,1]=>[2,1,3,1,1]=>10110011=>4 [6,3,5,8,2,1,7,4]=>[3,6,4,1,7,8,2,5]=>[2,1,3,2]=>10110010=>5 [6,3,5,7,2,1,8,4]=>[3,6,4,2,7,8,1,5]=>[2,1,3,2]=>10110010=>5 [8,4,5,7,3,6,1,2]=>[1,5,4,2,6,3,8,7]=>[2,1,2,2,1]=>10110101=>6 [6,4,5,8,3,7,2,1]=>[3,5,4,1,6,2,7,8]=>[2,1,2,3]=>10110100=>5 [5,8,7,6,2,4,1,3]=>[4,1,2,3,7,5,8,6]=>[1,4,2,1]=>11000101=>4 [5,4,8,6,3,1,7,2]=>[4,5,1,3,6,8,2,7]=>[2,4,2]=>10100010=>5 [5,4,1,8,2,3,7,6]=>[4,5,8,1,7,6,2,3]=>[3,2,1,2]=>10010110=>5 [5,8,1,6,2,4,3,7]=>[4,1,8,3,7,5,6,2]=>[1,2,2,2,1]=>11010101=>6 [8,4,1,5,2,6,3,7]=>[1,5,8,4,7,3,6,2]=>[3,2,2,1]=>10010101=>6 [6,3,5,8,2,1,4,7]=>[3,6,4,1,7,8,5,2]=>[2,1,3,1,1]=>10110011=>4 [2,3,4,1,8,6,5,7]=>[7,6,5,8,1,3,4,2]=>[1,1,2,3,1]=>11101001=>4 [8,3,5,6,2,1,4,7]=>[1,6,4,3,7,8,5,2]=>[2,1,3,1,1]=>10110011=>4 [2,3,8,5,1,4,7,6]=>[7,6,1,4,8,5,2,3]=>[1,1,3,1,2]=>11100110=>3 [2,3,8,6,1,5,7,4]=>[7,6,1,3,8,4,2,5]=>[1,1,3,1,2]=>11100110=>3 [2,8,6,7,1,3,5,4]=>[7,1,3,2,8,6,4,5]=>[1,2,2,1,2]=>11010110=>5 [8,3,5,7,2,1,6,4]=>[1,6,4,2,7,8,3,5]=>[2,1,3,2]=>10110010=>5 [2,3,8,5,6,1,7,4]=>[7,6,1,4,3,8,2,5]=>[1,1,2,2,2]=>11101010=>5 [7,4,5,6,3,1,8,2]=>[2,5,4,3,6,8,1,7]=>[2,1,3,2]=>10110010=>5 [8,4,5,6,3,1,7,2]=>[1,5,4,3,6,8,2,7]=>[2,1,3,2]=>10110010=>5 [7,3,5,6,2,8,1,4]=>[2,6,4,3,7,1,8,5]=>[2,1,2,2,1]=>10110101=>6 [7,3,5,8,2,1,6,4]=>[2,6,4,1,7,8,3,5]=>[2,1,3,2]=>10110010=>5 [7,3,5,6,2,1,4,8]=>[2,6,4,3,7,8,5,1]=>[2,1,3,1,1]=>10110011=>4 [2,7,6,5,1,3,4,8]=>[7,2,3,4,8,6,5,1]=>[1,4,1,1,1]=>11000111=>2 [2,7,6,8,1,3,5,4]=>[7,2,3,1,8,6,4,5]=>[1,2,2,1,2]=>11010110=>5 [2,7,6,5,8,3,1,4]=>[7,2,3,4,1,6,8,5]=>[1,3,3,1]=>11001001=>4 [8,7,5,6,1,4,2,3]=>[1,2,4,3,8,5,7,6]=>[3,2,2,1]=>10010101=>6 [2,6,4,1,8,5,7,3]=>[7,3,5,8,1,4,2,6]=>[1,3,2,2]=>11001010=>5 [2,6,1,3,8,5,7,4]=>[7,3,8,6,1,4,2,5]=>[1,2,1,2,2]=>11011010=>5 [2,7,1,3,6,5,8,4]=>[7,2,8,6,3,4,1,5]=>[1,2,1,2,2]=>11011010=>5 [2,7,6,8,4,3,1,5]=>[7,2,3,1,5,6,8,4]=>[1,2,4,1]=>11010001=>4 [2,7,6,1,8,3,4,5]=>[7,2,3,8,1,6,5,4]=>[1,3,2,1,1]=>11001011=>4 [2,7,6,1,4,3,5,8]=>[7,2,3,8,5,6,4,1]=>[1,3,2,1,1]=>11001011=>4 [7,3,5,1,2,8,4,6]=>[2,6,4,8,7,1,5,3]=>[2,2,1,2,1]=>10101101=>6 [8,4,1,5,2,3,7,6]=>[1,5,8,4,7,6,2,3]=>[3,2,1,2]=>10010110=>5 [7,8,1,6,3,4,2,5]=>[2,1,8,3,6,5,7,4]=>[1,2,2,2,1]=>11010101=>6 [6,4,1,8,3,2,7,5]=>[3,5,8,1,6,7,2,4]=>[3,3,2]=>10010010=>5 [2,3,8,6,4,1,7,5]=>[7,6,1,3,5,8,2,4]=>[1,1,4,2]=>11100010=>3 [2,8,6,7,4,3,1,5]=>[7,1,3,2,5,6,8,4]=>[1,2,4,1]=>11010001=>4 [8,3,5,7,2,4,1,6]=>[1,6,4,2,7,5,8,3]=>[2,1,2,2,1]=>10110101=>6 [2,3,4,1,8,7,5,6]=>[7,6,5,8,1,2,4,3]=>[1,1,2,3,1]=>11101001=>4 [2,8,6,1,7,3,4,5]=>[7,1,3,8,2,6,5,4]=>[1,3,2,1,1]=>11001011=>4 [2,3,8,1,6,4,7,5]=>[7,6,1,8,3,5,2,4]=>[1,1,2,2,2]=>11101010=>5 [2,3,8,1,4,5,7,6]=>[7,6,1,8,5,4,2,3]=>[1,1,2,1,1,2]=>11101110=>3 [2,8,6,1,4,3,5,7]=>[7,1,3,8,5,6,4,2]=>[1,3,2,1,1]=>11001011=>4 [1,2,3,4,5,6,7,9,8]=>[9,8,7,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,2]=>111111110=>1 [2,1,3,4,5,6,7,8,9]=>[8,9,7,6,5,4,3,2,1]=>[2,1,1,1,1,1,1,1]=>101111111=>2 [1,8,2,3,4,5,6,9,7]=>[9,2,8,7,6,5,4,1,3]=>[1,2,1,1,1,1,2]=>110111110=>3 [7,1,2,3,4,5,6,9,8]=>[3,9,8,7,6,5,4,1,2]=>[2,1,1,1,1,1,2]=>101111110=>3 [2,1,9,3,4,5,6,7,8]=>[8,9,1,7,6,5,4,3,2]=>[2,2,1,1,1,1,1]=>101011111=>4 [2,8,1,3,4,5,6,7,9]=>[8,2,9,7,6,5,4,3,1]=>[1,2,1,1,1,1,1,1]=>110111111=>2 [8,4,3,6,5,1,7,2]=>[1,5,6,3,4,8,2,7]=>[3,3,2]=>10010010=>5 [8,5,6,3,4,1,7,2]=>[1,4,3,6,5,8,2,7]=>[2,2,2,2]=>10101010=>7 [8,6,5,4,3,1,7,2]=>[1,3,4,5,6,8,2,7]=>[6,2]=>10000010=>3 [1,7,6,5,4,2,3,8]=>[8,2,3,4,5,7,6,1]=>[1,5,1,1]=>11000011=>2 [1,8,6,5,2,7,3,4]=>[8,1,3,4,7,2,6,5]=>[1,4,2,1]=>11000101=>4 [8,7,5,4,1,6,3,2]=>[1,2,4,5,8,3,6,7]=>[5,3]=>10000100=>3 [7,8,5,4,1,3,6,2]=>[2,1,4,5,8,6,3,7]=>[1,4,1,2]=>11000110=>3 [6,8,5,4,2,1,7,3]=>[3,1,4,5,7,8,2,6]=>[1,5,2]=>11000010=>3 [5,8,6,2,4,1,7,3]=>[4,1,3,7,5,8,2,6]=>[1,3,2,2]=>11001010=>5 [4,8,2,6,5,1,7,3]=>[5,1,7,3,4,8,2,6]=>[1,2,3,2]=>11010010=>5 [3,2,8,6,5,1,7,4]=>[6,7,1,3,4,8,2,5]=>[2,4,2]=>10100010=>5 [3,2,1,7,6,4,5,8]=>[6,7,8,2,3,5,4,1]=>[3,3,1,1]=>10010011=>4 [4,1,3,7,6,2,5,8]=>[5,8,6,2,3,7,4,1]=>[2,1,3,1,1]=>10110011=>4 [5,1,7,3,6,2,4,8]=>[4,8,2,6,3,7,5,1]=>[2,2,2,1,1]=>10101011=>6 [6,1,7,5,3,2,4,8]=>[3,8,2,4,6,7,5,1]=>[2,4,1,1]=>10100011=>4 [7,1,6,5,2,4,3,8]=>[2,8,3,4,7,5,6,1]=>[2,3,2,1]=>10100101=>6 [8,1,6,5,2,3,7,4]=>[1,8,3,4,7,6,2,5]=>[2,3,1,2]=>10100110=>5 [1,2,7,6,3,4,5,8]=>[8,7,2,3,6,5,4,1]=>[1,1,3,1,1,1]=>11100111=>2 [1,2,8,3,7,4,5,6]=>[8,7,1,6,2,5,4,3]=>[1,1,2,2,1,1]=>11101011=>4 [8,1,7,2,6,3,5,4]=>[1,8,2,7,3,6,4,5]=>[2,2,2,2]=>10101010=>7 [7,1,8,2,6,4,3,5]=>[2,8,1,7,3,5,6,4]=>[2,2,3,1]=>10101001=>6 [6,1,8,2,4,7,3,5]=>[3,8,1,7,5,2,6,4]=>[2,2,1,2,1]=>10101101=>6 [5,1,8,3,2,7,4,6]=>[4,8,1,6,7,2,5,3]=>[2,3,2,1]=>10100101=>6 [4,1,3,8,2,7,5,6]=>[5,8,6,1,7,2,4,3]=>[2,1,2,2,1]=>10110101=>6 [3,2,1,8,4,7,5,6]=>[6,7,8,1,5,2,4,3]=>[3,2,2,1]=>10010101=>6 [3,2,8,7,1,6,5,4]=>[6,7,1,2,8,3,4,5]=>[2,3,3]=>10100100=>5 [4,8,2,7,1,6,5,3]=>[5,1,7,2,8,3,4,6]=>[1,2,2,3]=>11010100=>5 [5,8,7,2,1,6,4,3]=>[4,1,2,7,8,3,5,6]=>[1,4,3]=>11000100=>3 [6,8,7,1,3,5,4,2]=>[3,1,2,8,6,4,5,7]=>[1,3,1,3]=>11001100=>3 [7,8,6,1,5,3,4,2]=>[2,1,3,8,4,6,5,7]=>[1,3,2,2]=>11001010=>5 [8,7,6,1,5,4,3,2]=>[1,2,3,8,4,5,6,7]=>[4,4]=>10001000=>3 [1,8,7,2,6,5,3,4]=>[8,1,2,7,3,4,6,5]=>[1,3,3,1]=>11001001=>4 [1,7,8,2,5,6,3,4]=>[8,2,1,7,4,3,6,5]=>[1,1,2,1,2,1]=>11101101=>4 [8,6,7,1,4,5,3,2]=>[1,3,2,8,5,4,6,7]=>[2,2,1,3]=>10101100=>5 [7,6,8,1,4,3,5,2]=>[2,3,1,8,5,6,4,7]=>[2,2,2,2]=>10101010=>7 [6,5,8,3,2,1,7,4]=>[3,4,1,6,7,8,2,5]=>[2,4,2]=>10100010=>5 [7,5,8,3,1,4,6,2]=>[2,4,1,6,8,5,3,7]=>[2,3,1,2]=>10100110=>5 [8,5,7,3,1,6,4,2]=>[1,4,2,6,8,3,5,7]=>[2,3,3]=>10100100=>5 [1,6,8,4,2,7,3,5]=>[8,3,1,5,7,2,6,4]=>[1,1,3,2,1]=>11100101=>4 [1,5,4,8,2,7,3,6]=>[8,4,5,1,7,2,6,3]=>[1,2,2,2,1]=>11010101=>6 [8,4,3,7,1,6,5,2]=>[1,5,6,2,8,3,4,7]=>[3,2,3]=>10010100=>5 [7,4,3,8,1,5,6,2]=>[2,5,6,1,8,4,3,7]=>[3,2,1,2]=>10010110=>5 [6,4,3,1,5,2,7,8]=>[3,5,6,8,4,7,2,1]=>[4,2,1,1]=>10001011=>4 [7,4,3,1,2,6,5,8]=>[2,5,6,8,7,3,4,1]=>[4,1,2,1]=>10001101=>4 [8,4,3,1,2,5,7,6]=>[1,5,6,8,7,4,2,3]=>[4,1,1,2]=>10001110=>3 [1,5,4,2,3,6,7,8]=>[8,4,5,7,6,3,2,1]=>[1,3,1,1,1,1]=>11001111=>2 [8,5,1,4,2,3,7,6]=>[1,4,8,5,7,6,2,3]=>[3,2,1,2]=>10010110=>5 [7,5,1,4,2,6,3,8]=>[2,4,8,5,7,3,6,1]=>[3,2,2,1]=>10010101=>6 [6,5,1,4,3,2,7,8]=>[3,4,8,5,6,7,2,1]=>[3,3,1,1]=>10010011=>4 [5,6,1,3,4,2,7,8]=>[4,3,8,6,5,7,2,1]=>[1,2,1,2,1,1]=>11011011=>4 [4,6,2,1,5,3,7,8]=>[5,3,7,8,4,6,2,1]=>[1,3,2,1,1]=>11001011=>4 [3,2,6,1,5,4,7,8]=>[6,7,3,8,4,5,2,1]=>[2,2,2,1,1]=>10101011=>6 [3,2,7,1,4,6,5,8]=>[6,7,2,8,5,3,4,1]=>[2,2,1,2,1]=>10101101=>6 [4,7,2,1,3,6,5,8]=>[5,2,7,8,6,3,4,1]=>[1,3,1,2,1]=>11001101=>4 [5,7,1,3,2,6,4,8]=>[4,2,8,6,7,3,5,1]=>[1,2,2,2,1]=>11010101=>6 [6,7,1,2,4,5,3,8]=>[3,2,8,7,5,4,6,1]=>[1,2,1,1,2,1]=>11011101=>4 [7,6,1,2,5,4,3,8]=>[2,3,8,7,4,5,6,1]=>[3,1,3,1]=>10011001=>4 [8,6,1,2,5,3,7,4]=>[1,3,8,7,4,6,2,5]=>[3,1,2,2]=>10011010=>5 [1,7,2,3,6,4,5,8]=>[8,2,7,6,3,5,4,1]=>[1,2,1,2,1,1]=>11011011=>4 [8,7,1,2,3,6,5,4]=>[1,2,8,7,6,3,4,5]=>[3,1,1,3]=>10011100=>3 [7,8,1,2,3,5,6,4]=>[2,1,8,7,6,4,3,5]=>[1,2,1,1,1,2]=>11011110=>3 [6,8,1,2,4,3,7,5]=>[3,1,8,7,5,6,2,4]=>[1,2,1,2,2]=>11011010=>5 [5,8,1,3,2,4,7,6]=>[4,1,8,6,7,5,2,3]=>[1,2,2,1,2]=>11010110=>5 [4,8,2,1,3,5,7,6]=>[5,1,7,8,6,4,2,3]=>[1,3,1,1,2]=>11001110=>3 [3,2,8,1,4,5,7,6]=>[6,7,1,8,5,4,2,3]=>[2,2,1,1,2]=>10101110=>5 [4,1,3,2,5,6,7,8]=>[5,8,6,7,4,3,2,1]=>[2,2,1,1,1,1]=>10101111=>4 [5,1,2,4,3,6,7,8]=>[4,8,7,5,6,3,2,1]=>[2,1,2,1,1,1]=>10110111=>4 [6,1,2,3,5,4,7,8]=>[3,8,7,6,4,5,2,1]=>[2,1,1,2,1,1]=>10111011=>4 [7,1,2,3,4,6,5,8]=>[2,8,7,6,5,3,4,1]=>[2,1,1,1,2,1]=>10111101=>4 [8,1,2,3,4,5,7,6]=>[1,8,7,6,5,4,2,3]=>[2,1,1,1,1,2]=>10111110=>3 [6,7,3,8,5,1,2,4]=>[3,2,6,1,4,8,7,5]=>[1,2,3,1,1]=>11010011=>4 [6,7,4,5,1,8,3,2]=>[3,2,5,4,8,1,6,7]=>[1,2,2,3]=>11010100=>5 [5,4,7,6,8,1,2,3]=>[4,5,2,3,1,8,7,6]=>[2,2,2,1,1]=>10101011=>6 [3,8,4,5,7,1,2,6]=>[6,1,5,4,2,8,7,3]=>[1,2,1,2,1,1]=>11011011=>4 [4,5,6,7,1,8,3,2]=>[5,4,3,2,8,1,6,7]=>[1,1,1,2,3]=>11110100=>3 [3,5,6,2,7,4,8,1]=>[6,4,3,7,2,5,1,8]=>[1,1,2,2,2]=>11101010=>5 [3,5,6,1,7,8,4,2]=>[6,4,3,8,2,1,5,7]=>[1,1,2,1,3]=>11101100=>3 [2,5,6,1,8,7,4,3]=>[7,4,3,8,1,2,5,6]=>[1,1,2,4]=>11101000=>3 [2,5,6,8,1,7,3,4]=>[7,4,3,1,8,2,6,5]=>[1,1,1,2,2,1]=>11110101=>4 [8,2,4,5,1,6,3,7]=>[1,7,5,4,8,3,6,2]=>[2,1,2,2,1]=>10110101=>6 [1,4,8,6,2,3,7,5]=>[8,5,1,3,7,6,2,4]=>[1,1,3,1,2]=>11100110=>3 [1,5,6,8,2,3,7,4]=>[8,4,3,1,7,6,2,5]=>[1,1,1,2,1,2]=>11110110=>3 [1,5,6,2,8,4,7,3]=>[8,4,3,7,1,5,2,6]=>[1,1,2,2,2]=>11101010=>5 [2,5,6,3,4,7,8,1]=>[7,4,3,6,5,2,1,8]=>[1,1,2,1,1,2]=>11101110=>3 [1,4,2,6,8,5,7,3]=>[8,5,7,3,1,4,2,6]=>[1,2,1,2,2]=>11011010=>5 [8,1,3,2,5,4,6,7]=>[1,8,6,7,4,5,3,2]=>[2,2,2,1,1]=>10101011=>6 [8,2,3,1,5,6,4,7]=>[1,7,6,8,4,3,5,2]=>[2,2,1,2,1]=>10101101=>6 [2,8,3,1,5,7,4,6]=>[7,1,6,8,4,2,5,3]=>[1,3,1,2,1]=>11001101=>4 [2,4,1,6,8,7,5,3]=>[7,5,8,3,1,2,4,6]=>[1,2,1,4]=>11011000=>3 [3,4,1,6,7,8,5,2]=>[6,5,8,3,2,1,4,7]=>[1,2,1,1,3]=>11011100=>3 [4,3,1,7,6,8,5,2]=>[5,6,8,2,3,1,4,7]=>[3,2,3]=>10010100=>5 [5,2,7,8,1,6,3,4]=>[4,7,2,1,8,3,6,5]=>[2,1,2,2,1]=>10110101=>6 [5,3,7,2,6,4,8,1]=>[4,6,2,7,3,5,1,8]=>[2,2,2,2]=>10101010=>7 [6,7,3,1,5,8,4,2]=>[3,2,6,8,4,1,5,7]=>[1,3,1,3]=>11001100=>3 [6,7,2,1,8,5,4,3]=>[3,2,7,8,1,4,5,6]=>[1,3,4]=>11001000=>3 [6,7,2,8,1,5,3,4]=>[3,2,7,1,8,4,6,5]=>[1,2,2,2,1]=>11010101=>6 [6,7,8,2,1,4,3,5]=>[3,2,1,7,8,5,6,4]=>[1,1,3,2,1]=>11100101=>4 [6,7,1,2,8,4,5,3]=>[3,2,8,7,1,5,4,6]=>[1,2,1,2,2]=>11011010=>5 [6,7,1,3,4,8,5,2]=>[3,2,8,6,5,1,4,7]=>[1,2,1,1,3]=>11011100=>3 [5,2,7,3,4,6,8,1]=>[4,7,2,6,5,3,1,8]=>[2,2,1,1,2]=>10101110=>5 [5,1,7,3,4,8,6,2]=>[4,8,2,6,5,1,3,7]=>[2,2,1,3]=>10101100=>5 [5,1,7,8,2,3,6,4]=>[4,8,2,1,7,6,3,5]=>[2,1,2,1,2]=>10110110=>5 [4,1,8,7,2,3,6,5]=>[5,8,1,2,7,6,3,4]=>[2,3,1,2]=>10100110=>5 [3,8,1,2,7,4,5,6]=>[6,1,8,7,2,5,4,3]=>[1,2,1,2,1,1]=>11011011=>4 [4,1,3,7,5,8,6,2]=>[5,8,6,2,4,1,3,7]=>[2,1,2,3]=>10110100=>5 [3,1,4,5,7,8,6,2]=>[6,8,5,4,2,1,3,7]=>[2,1,1,1,3]=>10111100=>3 [2,1,8,3,4,7,6,5]=>[7,8,1,6,5,2,3,4]=>[2,2,1,3]=>10101100=>5 [8,2,1,3,4,6,5,7]=>[1,7,8,6,5,3,4,2]=>[3,1,1,2,1]=>10011101=>4 [1,8,2,3,4,5,7,6]=>[8,1,7,6,5,4,2,3]=>[1,2,1,1,1,2]=>11011110=>3 [1,2,8,3,4,6,7,5]=>[8,7,1,6,5,3,2,4]=>[1,1,2,1,1,2]=>11101110=>3 [4,2,1,6,5,8,7,3]=>[5,7,8,3,4,1,2,6]=>[3,2,3]=>10010100=>5 [5,2,6,1,4,8,7,3]=>[4,7,3,8,5,1,2,6]=>[2,2,1,3]=>10101100=>5 [5,2,6,4,1,8,7,3]=>[4,7,3,5,8,1,2,6]=>[2,3,3]=>10100100=>5 [5,2,7,4,8,1,6,3]=>[4,7,2,5,1,8,3,6]=>[2,2,2,2]=>10101010=>7 [5,2,7,4,8,6,1,3]=>[4,7,2,5,1,3,8,6]=>[2,2,3,1]=>10101001=>6 [5,7,2,3,8,6,1,4]=>[4,2,7,6,1,3,8,5]=>[1,2,1,3,1]=>11011001=>4 [5,7,2,3,8,1,6,4]=>[4,2,7,6,1,8,3,5]=>[1,2,1,2,2]=>11011010=>5 [5,6,2,3,1,8,7,4]=>[4,3,7,6,8,1,2,5]=>[1,2,2,3]=>11010100=>5 [5,6,2,1,3,8,7,4]=>[4,3,7,8,6,1,2,5]=>[1,3,1,3]=>11001100=>3 [5,1,6,4,2,8,7,3]=>[4,8,3,5,7,1,2,6]=>[2,3,3]=>10100100=>5 [5,6,1,3,2,8,7,4]=>[4,3,8,6,7,1,2,5]=>[1,2,2,3]=>11010100=>5 [5,6,3,1,2,8,7,4]=>[4,3,6,8,7,1,2,5]=>[1,3,1,3]=>11001100=>3 [5,6,3,2,1,8,7,4]=>[4,3,6,7,8,1,2,5]=>[1,4,3]=>11000100=>3 [5,7,3,2,8,1,6,4]=>[4,2,6,7,1,8,3,5]=>[1,3,2,2]=>11001010=>5 [5,7,3,2,8,6,1,4]=>[4,2,6,7,1,3,8,5]=>[1,3,3,1]=>11001001=>4 [6,7,3,8,2,1,5,4]=>[3,2,6,1,7,8,4,5]=>[1,2,3,2]=>11010010=>5 [6,7,3,8,1,2,5,4]=>[3,2,6,1,8,7,4,5]=>[1,2,2,1,2]=>11010110=>5 [5,7,3,1,8,2,6,4]=>[4,2,6,8,1,7,3,5]=>[1,3,2,2]=>11001010=>5 [5,7,1,3,8,2,6,4]=>[4,2,8,6,1,7,3,5]=>[1,2,1,2,2]=>11011010=>5 [5,1,7,4,8,2,6,3]=>[4,8,2,5,1,7,3,6]=>[2,2,2,2]=>10101010=>7 [1,5,7,4,8,3,6,2]=>[8,4,2,5,1,6,3,7]=>[1,1,2,2,2]=>11101010=>5 [1,5,7,4,8,6,3,2]=>[8,4,2,5,1,3,6,7]=>[1,1,2,4]=>11101000=>3 [5,1,7,4,8,6,2,3]=>[4,8,2,5,1,3,7,6]=>[2,2,3,1]=>10101001=>6 [5,7,1,3,8,6,2,4]=>[4,2,8,6,1,3,7,5]=>[1,2,1,3,1]=>11011001=>4 [5,7,3,1,8,6,2,4]=>[4,2,6,8,1,3,7,5]=>[1,3,3,1]=>11001001=>4 [6,7,3,8,1,5,2,4]=>[3,2,6,1,8,4,7,5]=>[1,2,2,2,1]=>11010101=>6 [6,7,3,8,5,2,1,4]=>[3,2,6,1,4,7,8,5]=>[1,2,4,1]=>11010001=>4 [6,7,8,3,1,4,2,5]=>[3,2,1,6,8,5,7,4]=>[1,1,3,2,1]=>11100101=>4 [6,7,1,8,3,5,2,4]=>[3,2,8,1,6,4,7,5]=>[1,2,2,2,1]=>11010101=>6 [6,1,7,8,4,5,2,3]=>[3,8,2,1,5,4,7,6]=>[2,1,2,2,1]=>10110101=>6 [1,6,7,8,4,5,3,2]=>[8,3,2,1,5,4,6,7]=>[1,1,1,2,3]=>11110100=>3 [1,6,7,8,4,3,5,2]=>[8,3,2,1,5,6,4,7]=>[1,1,1,3,2]=>11110010=>3 [6,1,7,8,4,2,5,3]=>[3,8,2,1,5,7,4,6]=>[2,1,3,2]=>10110010=>5 [6,7,1,8,3,2,5,4]=>[3,2,8,1,6,7,4,5]=>[1,2,3,2]=>11010010=>5 [5,7,2,1,8,3,6,4]=>[4,2,7,8,1,6,3,5]=>[1,3,2,2]=>11001010=>5 [6,7,2,8,1,3,5,4]=>[3,2,7,1,8,6,4,5]=>[1,2,2,1,2]=>11010110=>5 [6,7,2,8,3,1,5,4]=>[3,2,7,1,6,8,4,5]=>[1,2,3,2]=>11010010=>5 [6,7,2,8,3,5,1,4]=>[3,2,7,1,6,4,8,5]=>[1,2,2,2,1]=>11010101=>6 [6,2,7,8,4,5,1,3]=>[3,7,2,1,5,4,8,6]=>[2,1,2,2,1]=>10110101=>6 [6,2,7,8,4,1,5,3]=>[3,7,2,1,5,8,4,6]=>[2,1,3,2]=>10110010=>5 [6,2,7,8,1,4,5,3]=>[3,7,2,1,8,5,4,6]=>[2,1,2,1,2]=>10110110=>5 [5,2,7,1,8,4,6,3]=>[4,7,2,8,1,5,3,6]=>[2,2,2,2]=>10101010=>7 [4,2,1,7,8,5,6,3]=>[5,7,8,2,1,4,3,6]=>[3,1,2,2]=>10011010=>5 [4,1,2,7,8,6,5,3]=>[5,8,7,2,1,3,4,6]=>[2,1,1,4]=>10111000=>3 [6,2,7,8,1,5,4,3]=>[3,7,2,1,8,4,5,6]=>[2,1,2,3]=>10110100=>5 [6,2,7,8,5,1,4,3]=>[3,7,2,1,4,8,5,6]=>[2,1,3,2]=>10110010=>5 [6,2,7,8,5,4,1,3]=>[3,7,2,1,4,5,8,6]=>[2,1,4,1]=>10110001=>4 [6,7,2,8,5,3,1,4]=>[3,2,7,1,4,6,8,5]=>[1,2,4,1]=>11010001=>4 [5,7,2,1,8,6,3,4]=>[4,2,7,8,1,3,6,5]=>[1,3,3,1]=>11001001=>4 [5,7,1,2,8,6,3,4]=>[4,2,8,7,1,3,6,5]=>[1,2,1,3,1]=>11011001=>4 [5,1,7,2,8,6,4,3]=>[4,8,2,7,1,3,5,6]=>[2,2,4]=>10101000=>5 [1,5,7,3,8,6,4,2]=>[8,4,2,6,1,3,5,7]=>[1,1,2,4]=>11101000=>3 [1,6,7,8,3,5,4,2]=>[8,3,2,1,6,4,5,7]=>[1,1,1,2,3]=>11110100=>3 [6,1,7,8,2,5,4,3]=>[3,8,2,1,7,4,5,6]=>[2,1,2,3]=>10110100=>5 [6,7,1,8,2,5,3,4]=>[3,2,8,1,7,4,6,5]=>[1,2,2,2,1]=>11010101=>6 [6,7,8,2,4,1,3,5]=>[3,2,1,7,5,8,6,4]=>[1,1,2,2,1,1]=>11101011=>4 [6,7,8,2,4,3,1,5]=>[3,2,1,7,5,6,8,4]=>[1,1,2,3,1]=>11101001=>4 [6,7,1,8,5,2,3,4]=>[3,2,8,1,4,7,6,5]=>[1,2,3,1,1]=>11010011=>4 [6,1,7,8,5,2,4,3]=>[3,8,2,1,4,7,5,6]=>[2,1,3,2]=>10110010=>5 [1,6,7,8,5,3,4,2]=>[8,3,2,1,4,6,5,7]=>[1,1,1,3,2]=>11110010=>3 [6,1,7,8,5,4,2,3]=>[3,8,2,1,4,5,7,6]=>[2,1,4,1]=>10110001=>4 [6,7,1,8,5,3,2,4]=>[3,2,8,1,4,6,7,5]=>[1,2,4,1]=>11010001=>4 [6,7,8,4,1,3,2,5]=>[3,2,1,5,8,6,7,4]=>[1,1,3,2,1]=>11100101=>4 [6,3,8,5,2,7,4,1]=>[3,6,1,4,7,2,5,8]=>[2,3,3]=>10100100=>5 [6,5,2,8,4,7,3,1]=>[3,4,7,1,5,2,6,8]=>[3,2,3]=>10010100=>5 [6,3,4,5,8,7,2,1]=>[3,6,5,4,1,2,7,8]=>[2,1,1,4]=>10111000=>3 [5,8,1,4,7,2,3,6]=>[4,1,8,5,2,7,6,3]=>[1,2,1,2,1,1]=>11011011=>4 [5,6,1,4,8,7,3,2]=>[4,3,8,5,1,2,6,7]=>[1,2,1,4]=>11011000=>3 [3,6,4,8,5,7,1,2]=>[6,3,5,1,4,2,8,7]=>[1,2,2,2,1]=>11010101=>6 [5,1,4,8,6,3,7,2]=>[4,8,5,1,3,6,2,7]=>[2,1,3,2]=>10110010=>5 [3,4,7,1,8,6,5,2]=>[6,5,2,8,1,3,4,7]=>[1,1,2,4]=>11101000=>3 [6,3,8,4,2,7,1,5]=>[3,6,1,5,7,2,8,4]=>[2,3,2,1]=>10100101=>6 [3,6,8,7,1,4,2,5]=>[6,3,1,2,8,5,7,4]=>[1,1,3,2,1]=>11100101=>4 [5,3,7,1,6,8,2,4]=>[4,6,2,8,3,1,7,5]=>[2,2,1,2,1]=>10101101=>6 [4,3,8,5,6,7,2,1]=>[5,6,1,4,3,2,7,8]=>[2,2,1,3]=>10101100=>5 [5,8,1,7,6,2,4,3]=>[4,1,8,2,3,7,5,6]=>[1,2,3,2]=>11010010=>5 [4,6,1,2,7,8,5,3]=>[5,3,8,7,2,1,4,6]=>[1,2,1,1,3]=>11011100=>3 [3,6,4,2,8,7,5,1]=>[6,3,5,7,1,2,4,8]=>[1,3,4]=>11001000=>3 [6,3,7,5,2,8,1,4]=>[3,6,2,4,7,1,8,5]=>[2,3,2,1]=>10100101=>6 [6,5,2,7,4,8,1,3]=>[3,4,7,2,5,1,8,6]=>[3,2,2,1]=>10010101=>6 [5,7,1,4,8,3,2,6]=>[4,2,8,5,1,6,7,3]=>[1,2,1,3,1]=>11011001=>4 [7,8,3,5,1,4,6,2]=>[2,1,6,4,8,5,3,7]=>[1,2,2,1,2]=>11010110=>5 [5,8,1,4,6,7,2,3]=>[4,1,8,5,3,2,7,6]=>[1,2,1,1,2,1]=>11011101=>4 [6,5,8,4,3,7,2,1]=>[3,4,1,5,6,2,7,8]=>[2,3,3]=>10100100=>5 [6,3,7,4,2,8,5,1]=>[3,6,2,5,7,1,4,8]=>[2,3,3]=>10100100=>5 [8,7,1,6,2,4,5,3]=>[1,2,8,3,7,5,4,6]=>[3,2,1,2]=>10010110=>5 [3,8,6,7,1,4,5,2]=>[6,1,3,2,8,5,4,7]=>[1,2,2,1,2]=>11010110=>5 [5,3,8,7,4,1,2,6]=>[4,6,1,2,5,8,7,3]=>[2,4,1,1]=>10100011=>4 [4,3,8,7,1,5,6,2]=>[5,6,1,2,8,4,3,7]=>[2,3,1,2]=>10100110=>5 [8,3,6,1,2,5,7,4]=>[1,6,3,8,7,4,2,5]=>[2,2,1,1,2]=>10101110=>5 [5,6,1,8,7,3,2,4]=>[4,3,8,1,2,6,7,5]=>[1,2,4,1]=>11010001=>4 [7,5,3,6,4,2,8,1]=>[2,4,6,3,5,7,1,8]=>[3,3,2]=>10010010=>5 [8,5,2,6,4,7,3,1]=>[1,4,7,3,5,2,6,8]=>[3,2,3]=>10010100=>5 [8,2,6,3,4,7,5,1]=>[1,7,3,6,5,2,4,8]=>[2,2,1,3]=>10101100=>5 [7,2,6,3,5,4,8,1]=>[2,7,3,6,4,5,1,8]=>[2,2,2,2]=>10101010=>7 [6,2,7,4,3,5,8,1]=>[3,7,2,5,6,4,1,8]=>[2,3,1,2]=>10100110=>5 [5,7,3,6,4,2,8,1]=>[4,2,6,3,5,7,1,8]=>[1,2,3,2]=>11010010=>5 [3,7,6,4,5,2,8,1]=>[6,2,3,5,4,7,1,8]=>[1,3,2,2]=>11001010=>5 [2,7,6,5,3,4,8,1]=>[7,2,3,4,6,5,1,8]=>[1,4,1,2]=>11000110=>3 [6,5,4,3,1,8,2,7]=>[3,4,5,6,8,1,7,2]=>[5,2,1]=>10000101=>4 [8,6,5,4,2,7,3,1]=>[1,3,4,5,7,2,6,8]=>[5,3]=>10000100=>3 [8,5,4,1,7,2,6,3]=>[1,4,5,8,2,7,3,6]=>[4,2,2]=>10001010=>5 [7,5,4,1,8,3,2,6]=>[2,4,5,8,1,6,7,3]=>[4,3,1]=>10001001=>4 [1,6,5,2,8,3,4,7]=>[8,3,4,7,1,6,5,2]=>[1,3,2,1,1]=>11001011=>4 [5,7,4,2,1,8,3,6]=>[4,2,5,7,8,1,6,3]=>[1,4,2,1]=>11000101=>4 [1,6,5,3,4,8,2,7]=>[8,3,4,6,5,1,7,2]=>[1,3,1,2,1]=>11001101=>4 [5,4,6,3,1,8,2,7]=>[4,5,3,6,8,1,7,2]=>[2,3,2,1]=>10100101=>6 [6,5,8,4,2,7,3,1]=>[3,4,1,5,7,2,6,8]=>[2,3,3]=>10100100=>5 [3,8,6,2,5,7,4,1]=>[6,1,3,7,4,2,5,8]=>[1,3,1,3]=>11001100=>3 [6,8,3,1,7,2,5,4]=>[3,1,6,8,2,7,4,5]=>[1,3,2,2]=>11001010=>5 [1,8,6,3,7,5,2,4]=>[8,1,3,6,2,4,7,5]=>[1,3,3,1]=>11001001=>4 [8,7,5,2,6,4,3,1]=>[1,2,4,7,3,5,6,8]=>[4,4]=>10001000=>3 [8,7,1,6,2,5,4,3]=>[1,2,8,3,7,4,5,6]=>[3,2,3]=>10010100=>5 [7,8,1,6,3,2,5,4]=>[2,1,8,3,6,7,4,5]=>[1,2,3,2]=>11010010=>5 [2,8,1,7,3,5,6,4]=>[7,1,8,2,6,4,3,5]=>[1,2,2,1,2]=>11010110=>5 [4,8,1,3,7,2,6,5]=>[5,1,8,6,2,7,3,4]=>[1,2,1,2,2]=>11011010=>5 [4,2,8,5,7,3,6,1]=>[5,7,1,4,2,6,3,8]=>[2,2,2,2]=>10101010=>7 [5,1,7,6,8,3,2,4]=>[4,8,2,3,1,6,7,5]=>[2,2,3,1]=>10101001=>6 [3,7,1,5,8,4,2,6]=>[6,2,8,4,1,5,7,3]=>[1,2,1,3,1]=>11011001=>4 [6,7,3,1,8,4,2,5]=>[3,2,6,8,1,5,7,4]=>[1,3,3,1]=>11001001=>4 [1,7,3,8,4,5,2,6]=>[8,2,6,1,5,4,7,3]=>[1,2,2,2,1]=>11010101=>6 [1,7,2,8,5,3,4,6]=>[8,2,7,1,4,6,5,3]=>[1,2,3,1,1]=>11010011=>4 [7,6,1,8,4,3,2,5]=>[2,3,8,1,5,6,7,4]=>[3,4,1]=>10010001=>4 [8,6,1,7,4,2,5,3]=>[1,3,8,2,5,7,4,6]=>[3,3,2]=>10010010=>5 [8,1,2,7,3,4,6,5]=>[1,8,7,2,6,5,3,4]=>[2,1,2,1,2]=>10110110=>5 [7,1,2,8,3,5,4,6]=>[2,8,7,1,6,4,5,3]=>[2,1,2,2,1]=>10110101=>6 [7,2,6,1,8,4,3,5]=>[2,7,3,8,1,5,6,4]=>[2,2,3,1]=>10101001=>6 [8,2,6,1,7,3,5,4]=>[1,7,3,8,2,6,4,5]=>[2,2,2,2]=>10101010=>7 [8,3,1,4,7,5,6,2]=>[1,6,8,5,2,4,3,7]=>[3,1,2,2]=>10011010=>5 [7,3,1,5,8,4,2,6]=>[2,6,8,4,1,5,7,3]=>[3,1,3,1]=>10011001=>4 [4,2,1,5,8,3,6,7]=>[5,7,8,4,1,6,3,2]=>[3,1,2,1,1]=>10011011=>4 [5,4,2,7,1,8,3,6]=>[4,5,7,2,8,1,6,3]=>[3,2,2,1]=>10010101=>6 [5,4,3,1,6,8,2,7]=>[4,5,6,8,3,1,7,2]=>[4,1,2,1]=>10001101=>4 [4,7,5,6,8,3,2,1]=>[5,2,4,3,1,6,7,8]=>[1,2,1,4]=>11011000=>3 [6,5,4,8,2,7,3,1]=>[3,4,5,1,7,2,6,8]=>[3,2,3]=>10010100=>5 [6,5,1,8,7,4,2,3]=>[3,4,8,1,2,5,7,6]=>[3,4,1]=>10010001=>4 [8,6,4,7,5,3,2,1]=>[1,3,5,2,4,6,7,8]=>[3,5]=>10010000=>3 [5,1,8,3,7,6,2,4]=>[4,8,1,6,2,3,7,5]=>[2,2,3,1]=>10101001=>6 [5,4,8,1,7,2,6,3]=>[4,5,1,8,2,7,3,6]=>[2,2,2,2]=>10101010=>7 [7,5,8,3,2,6,4,1]=>[2,4,1,6,7,3,5,8]=>[2,3,3]=>10100100=>5 [3,6,8,2,4,7,5,1]=>[6,3,1,7,5,2,4,8]=>[1,1,2,1,3]=>11101100=>3 [5,7,3,8,2,6,4,1]=>[4,2,6,1,7,3,5,8]=>[1,2,2,3]=>11010100=>5 [5,4,6,8,2,7,3,1]=>[4,5,3,1,7,2,6,8]=>[2,1,2,3]=>10110100=>5 [5,2,6,8,7,3,4,1]=>[4,7,3,1,2,6,5,8]=>[2,1,3,2]=>10110010=>5 [4,7,2,8,6,3,5,1]=>[5,2,7,1,3,6,4,8]=>[1,2,3,2]=>11010010=>5 [3,6,8,1,7,2,5,4]=>[6,3,1,8,2,7,4,5]=>[1,1,2,2,2]=>11101010=>5 [2,3,8,7,4,5,6,1]=>[7,6,1,2,5,4,3,8]=>[1,1,3,1,2]=>11100110=>3 [7,2,8,6,4,3,5,1]=>[2,7,1,3,5,6,4,8]=>[2,4,2]=>10100010=>5 [2,1,8,7,5,6,3,4]=>[7,8,1,2,4,3,6,5]=>[2,3,2,1]=>10100101=>6 [8,2,7,6,3,5,4,1]=>[1,7,2,3,6,4,5,8]=>[2,3,3]=>10100100=>5 [8,1,7,6,5,2,4,3]=>[1,8,2,3,4,7,5,6]=>[2,4,2]=>10100010=>5 [7,1,8,6,5,3,2,4]=>[2,8,1,3,4,6,7,5]=>[2,5,1]=>10100001=>4 [1,2,8,7,6,3,4,5]=>[8,7,1,2,3,6,5,4]=>[1,1,4,1,1]=>11100011=>2 [1,3,8,7,4,6,2,5]=>[8,6,1,2,5,3,7,4]=>[1,1,3,2,1]=>11100101=>4 [1,5,8,3,7,6,2,4]=>[8,4,1,6,2,3,7,5]=>[1,1,2,3,1]=>11101001=>4 [5,1,6,8,7,4,2,3]=>[4,8,3,1,2,5,7,6]=>[2,1,4,1]=>10110001=>4 [6,8,4,7,5,3,2,1]=>[3,1,5,2,4,6,7,8]=>[1,2,5]=>11010000=>3 [6,8,7,2,5,4,3,1]=>[3,1,2,7,4,5,6,8]=>[1,3,4]=>11001000=>3 [3,8,7,6,4,5,2,1]=>[6,1,2,3,5,4,7,8]=>[1,4,3]=>11000100=>3 [2,8,7,6,5,3,4,1]=>[7,1,2,3,4,6,5,8]=>[1,5,2]=>11000010=>3 [1,8,7,6,5,4,2,3]=>[8,1,2,3,4,5,7,6]=>[1,6,1]=>11000001=>2 [5,8,6,7,3,4,1,2]=>[4,1,3,2,6,5,8,7]=>[1,2,2,2,1]=>11010101=>6 [4,8,6,7,3,5,1,2]=>[5,1,3,2,6,4,8,7]=>[1,2,2,2,1]=>11010101=>6 [3,8,6,7,4,5,1,2]=>[6,1,3,2,5,4,8,7]=>[1,2,2,2,1]=>11010101=>6 [2,8,6,7,4,5,1,3]=>[7,1,3,2,5,4,8,6]=>[1,2,2,2,1]=>11010101=>6 [1,8,6,7,4,5,2,3]=>[8,1,3,2,5,4,7,6]=>[1,2,2,2,1]=>11010101=>6 [1,8,5,7,4,6,2,3]=>[8,1,4,2,5,3,7,6]=>[1,2,2,2,1]=>11010101=>6 [3,8,5,7,4,6,1,2]=>[6,1,4,2,5,3,8,7]=>[1,2,2,2,1]=>11010101=>6 [4,8,5,7,3,6,1,2]=>[5,1,4,2,6,3,8,7]=>[1,2,2,2,1]=>11010101=>6 [7,8,3,6,4,5,1,2]=>[2,1,6,3,5,4,8,7]=>[1,2,2,2,1]=>11010101=>6 [6,8,3,7,4,5,1,2]=>[3,1,6,2,5,4,8,7]=>[1,2,2,2,1]=>11010101=>6 [5,8,3,7,4,6,1,2]=>[4,1,6,2,5,3,8,7]=>[1,2,2,2,1]=>11010101=>6 [3,7,4,8,5,6,1,2]=>[6,2,5,1,4,3,8,7]=>[1,2,2,2,1]=>11010101=>6 [4,7,3,8,5,6,1,2]=>[5,2,6,1,4,3,8,7]=>[1,2,2,2,1]=>11010101=>6 [4,7,2,8,5,6,1,3]=>[5,2,7,1,4,3,8,6]=>[1,2,2,2,1]=>11010101=>6 [4,7,1,8,5,6,2,3]=>[5,2,8,1,4,3,7,6]=>[1,2,2,2,1]=>11010101=>6 [3,7,1,8,5,6,2,4]=>[6,2,8,1,4,3,7,5]=>[1,2,2,2,1]=>11010101=>6 [3,7,2,8,5,6,1,4]=>[6,2,7,1,4,3,8,5]=>[1,2,2,2,1]=>11010101=>6 [2,7,3,8,5,6,1,4]=>[7,2,6,1,4,3,8,5]=>[1,2,2,2,1]=>11010101=>6 [2,7,4,8,5,6,1,3]=>[7,2,5,1,4,3,8,6]=>[1,2,2,2,1]=>11010101=>6 [5,8,2,7,4,6,1,3]=>[4,1,7,2,5,3,8,6]=>[1,2,2,2,1]=>11010101=>6 [6,8,2,7,4,5,1,3]=>[3,1,7,2,5,4,8,6]=>[1,2,2,2,1]=>11010101=>6 [7,8,2,6,4,5,1,3]=>[2,1,7,3,5,4,8,6]=>[1,2,2,2,1]=>11010101=>6 [7,8,1,6,4,5,2,3]=>[2,1,8,3,5,4,7,6]=>[1,2,2,2,1]=>11010101=>6 [6,8,1,7,4,5,2,3]=>[3,1,8,2,5,4,7,6]=>[1,2,2,2,1]=>11010101=>6 [5,8,1,7,4,6,2,3]=>[4,1,8,2,5,3,7,6]=>[1,2,2,2,1]=>11010101=>6 [1,7,4,8,5,6,2,3]=>[8,2,5,1,4,3,7,6]=>[1,2,2,2,1]=>11010101=>6 [1,7,3,8,5,6,2,4]=>[8,2,6,1,4,3,7,5]=>[1,2,2,2,1]=>11010101=>6 [2,8,5,6,1,7,3,4]=>[7,1,4,3,8,2,6,5]=>[1,2,2,2,1]=>11010101=>6 [1,8,5,6,2,7,3,4]=>[8,1,4,3,7,2,6,5]=>[1,2,2,2,1]=>11010101=>6 [1,7,3,8,4,6,2,5]=>[8,2,6,1,5,3,7,4]=>[1,2,2,2,1]=>11010101=>6 [4,8,1,7,3,6,2,5]=>[5,1,8,2,6,3,7,4]=>[1,2,2,2,1]=>11010101=>6 [5,8,1,7,3,6,2,4]=>[4,1,8,2,6,3,7,5]=>[1,2,2,2,1]=>11010101=>6 [6,8,1,7,3,5,2,4]=>[3,1,8,2,6,4,7,5]=>[1,2,2,2,1]=>11010101=>6 [7,8,2,6,3,5,1,4]=>[2,1,7,3,6,4,8,5]=>[1,2,2,2,1]=>11010101=>6 [6,8,2,7,3,5,1,4]=>[3,1,7,2,6,4,8,5]=>[1,2,2,2,1]=>11010101=>6 [5,8,2,7,3,6,1,4]=>[4,1,7,2,6,3,8,5]=>[1,2,2,2,1]=>11010101=>6 [4,8,2,7,3,6,1,5]=>[5,1,7,2,6,3,8,4]=>[1,2,2,2,1]=>11010101=>6 [2,7,3,8,4,6,1,5]=>[7,2,6,1,5,3,8,4]=>[1,2,2,2,1]=>11010101=>6 [3,7,2,8,4,6,1,5]=>[6,2,7,1,5,3,8,4]=>[1,2,2,2,1]=>11010101=>6 [3,7,1,8,4,6,2,5]=>[6,2,8,1,5,3,7,4]=>[1,2,2,2,1]=>11010101=>6 [1,8,4,7,3,6,2,5]=>[8,1,5,2,6,3,7,4]=>[1,2,2,2,1]=>11010101=>6 [2,8,4,7,3,6,1,5]=>[7,1,5,2,6,3,8,4]=>[1,2,2,2,1]=>11010101=>6 [3,8,4,7,2,6,1,5]=>[6,1,5,2,7,3,8,4]=>[1,2,2,2,1]=>11010101=>6 [4,8,5,7,2,6,1,3]=>[5,1,4,2,7,3,8,6]=>[1,2,2,2,1]=>11010101=>6 [3,8,5,7,2,6,1,4]=>[6,1,4,2,7,3,8,5]=>[1,2,2,2,1]=>11010101=>6 [2,8,5,7,3,6,1,4]=>[7,1,4,2,6,3,8,5]=>[1,2,2,2,1]=>11010101=>6 [1,8,5,7,3,6,2,4]=>[8,1,4,2,6,3,7,5]=>[1,2,2,2,1]=>11010101=>6 [1,8,6,7,3,5,2,4]=>[8,1,3,2,6,4,7,5]=>[1,2,2,2,1]=>11010101=>6 [2,8,6,7,3,5,1,4]=>[7,1,3,2,6,4,8,5]=>[1,2,2,2,1]=>11010101=>6 [3,8,6,7,2,5,1,4]=>[6,1,3,2,7,4,8,5]=>[1,2,2,2,1]=>11010101=>6 [4,8,6,7,2,5,1,3]=>[5,1,3,2,7,4,8,6]=>[1,2,2,2,1]=>11010101=>6 [5,8,6,7,2,4,1,3]=>[4,1,3,2,7,5,8,6]=>[1,2,2,2,1]=>11010101=>6 [6,8,5,7,1,4,2,3]=>[3,1,4,2,8,5,7,6]=>[1,2,2,2,1]=>11010101=>6 [5,8,6,7,1,4,2,3]=>[4,1,3,2,8,5,7,6]=>[1,2,2,2,1]=>11010101=>6 [4,8,6,7,1,5,2,3]=>[5,1,3,2,8,4,7,6]=>[1,2,2,2,1]=>11010101=>6 [3,8,6,7,1,5,2,4]=>[6,1,3,2,8,4,7,5]=>[1,2,2,2,1]=>11010101=>6 [1,5,2,8,6,7,3,4]=>[8,4,7,1,3,2,6,5]=>[1,2,2,2,1]=>11010101=>6 [2,5,1,8,6,7,3,4]=>[7,4,8,1,3,2,6,5]=>[1,2,2,2,1]=>11010101=>6 [2,6,1,8,5,7,3,4]=>[7,3,8,1,4,2,6,5]=>[1,2,2,2,1]=>11010101=>6 [1,6,2,8,5,7,3,4]=>[8,3,7,1,4,2,6,5]=>[1,2,2,2,1]=>11010101=>6 [3,8,5,7,1,6,2,4]=>[6,1,4,2,8,3,7,5]=>[1,2,2,2,1]=>11010101=>6 [6,8,4,7,1,5,2,3]=>[3,1,5,2,8,4,7,6]=>[1,2,2,2,1]=>11010101=>6 [7,8,4,6,1,5,2,3]=>[2,1,5,3,8,4,7,6]=>[1,2,2,2,1]=>11010101=>6 [7,8,3,6,1,5,2,4]=>[2,1,6,3,8,4,7,5]=>[1,2,2,2,1]=>11010101=>6 [6,8,3,7,1,5,2,4]=>[3,1,6,2,8,4,7,5]=>[1,2,2,2,1]=>11010101=>6 [4,8,3,7,1,6,2,5]=>[5,1,6,2,8,3,7,4]=>[1,2,2,2,1]=>11010101=>6 [3,8,4,7,1,6,2,5]=>[6,1,5,2,8,3,7,4]=>[1,2,2,2,1]=>11010101=>6 [1,6,2,8,4,7,3,5]=>[8,3,7,1,5,2,6,4]=>[1,2,2,2,1]=>11010101=>6 [2,6,1,8,4,7,3,5]=>[7,3,8,1,5,2,6,4]=>[1,2,2,2,1]=>11010101=>6 [3,7,2,6,1,8,4,5]=>[6,2,7,3,8,1,5,4]=>[1,2,2,2,1]=>11010101=>6 [3,7,1,6,2,8,4,5]=>[6,2,8,3,7,1,5,4]=>[1,2,2,2,1]=>11010101=>6 [4,8,1,6,2,7,3,5]=>[5,1,8,3,7,2,6,4]=>[1,2,2,2,1]=>11010101=>6 [5,8,1,6,2,7,3,4]=>[4,1,8,3,7,2,6,5]=>[1,2,2,2,1]=>11010101=>6 [7,8,1,5,2,6,3,4]=>[2,1,8,4,7,3,6,5]=>[1,2,2,2,1]=>11010101=>6 [7,8,2,5,1,6,3,4]=>[2,1,7,4,8,3,6,5]=>[1,2,2,2,1]=>11010101=>6 [6,8,2,5,1,7,3,4]=>[3,1,7,4,8,2,6,5]=>[1,2,2,2,1]=>11010101=>6 [5,8,2,6,1,7,3,4]=>[4,1,7,3,8,2,6,5]=>[1,2,2,2,1]=>11010101=>6 [4,8,2,6,1,7,3,5]=>[5,1,7,3,8,2,6,4]=>[1,2,2,2,1]=>11010101=>6 [1,7,3,6,2,8,4,5]=>[8,2,6,3,7,1,5,4]=>[1,2,2,2,1]=>11010101=>6 [2,7,3,6,1,8,4,5]=>[7,2,6,3,8,1,5,4]=>[1,2,2,2,1]=>11010101=>6 [1,2,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,1]=>111111111=>0 [1,2,3,4,5,6,8,9,7]=>[9,8,7,6,5,4,2,1,3]=>[1,1,1,1,1,1,1,2]=>111111110=>1 [1,2,3,4,5,7,8,9,6]=>[9,8,7,6,5,3,2,1,4]=>[1,1,1,1,1,1,1,2]=>111111110=>1 [1,2,3,4,6,7,8,9,5]=>[9,8,7,6,4,3,2,1,5]=>[1,1,1,1,1,1,1,2]=>111111110=>1 [1,2,3,5,6,7,8,9,4]=>[9,8,7,5,4,3,2,1,6]=>[1,1,1,1,1,1,1,2]=>111111110=>1 [1,2,4,5,6,7,8,9,3]=>[9,8,6,5,4,3,2,1,7]=>[1,1,1,1,1,1,1,2]=>111111110=>1 [1,3,4,5,6,7,8,9,2]=>[9,7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,2]=>111111110=>1 [1,2,3,4,5,6,9,8,7]=>[9,8,7,6,5,4,1,2,3]=>[1,1,1,1,1,1,3]=>111111100=>1 [1,2,3,4,5,8,7,9,6]=>[9,8,7,6,5,2,3,1,4]=>[1,1,1,1,1,2,2]=>111111010=>3 [1,2,3,4,7,6,8,9,5]=>[9,8,7,6,3,4,2,1,5]=>[1,1,1,1,2,1,2]=>111110110=>3 [1,2,3,6,5,7,8,9,4]=>[9,8,7,4,5,3,2,1,6]=>[1,1,1,2,1,1,2]=>111101110=>3 [1,2,5,4,6,7,8,9,3]=>[9,8,5,6,4,3,2,1,7]=>[1,1,2,1,1,1,2]=>111011110=>3 [1,4,3,5,6,7,8,9,2]=>[9,6,7,5,4,3,2,1,8]=>[1,2,1,1,1,1,2]=>110111110=>3 [3,2,4,5,6,7,8,9,1]=>[7,8,6,5,4,3,2,1,9]=>[2,1,1,1,1,1,2]=>101111110=>3 [6,7,4,8,3,5,1,2]=>[3,2,5,1,6,4,8,7]=>[1,2,2,2,1]=>11010101=>6 [6,7,4,5,2,8,1,3]=>[3,2,5,4,7,1,8,6]=>[1,2,2,2,1]=>11010101=>6 [5,7,4,6,2,3,1,8]=>[4,2,5,3,7,6,8,1]=>[1,2,2,2,1]=>11010101=>6 [5,7,4,6,3,8,1,2]=>[4,2,5,3,6,1,8,7]=>[1,2,2,2,1]=>11010101=>6 [5,7,4,8,3,6,1,2]=>[4,2,5,1,6,3,8,7]=>[1,2,2,2,1]=>11010101=>6 [6,8,4,5,3,7,1,2]=>[3,1,5,4,6,2,8,7]=>[1,2,2,2,1]=>11010101=>6 [5,8,4,6,3,7,1,2]=>[4,1,5,3,6,2,8,7]=>[1,2,2,2,1]=>11010101=>6 [5,6,4,8,3,7,1,2]=>[4,3,5,1,6,2,8,7]=>[1,2,2,2,1]=>11010101=>6 [5,6,3,7,2,4,1,8]=>[4,3,6,2,7,5,8,1]=>[1,2,2,2,1]=>11010101=>6 [5,6,3,7,2,8,1,4]=>[4,3,6,2,7,1,8,5]=>[1,2,2,2,1]=>11010101=>6 [5,6,3,8,2,7,1,4]=>[4,3,6,1,7,2,8,5]=>[1,2,2,2,1]=>11010101=>6 [5,6,4,8,2,7,1,3]=>[4,3,5,1,7,2,8,6]=>[1,2,2,2,1]=>11010101=>6 [5,8,4,6,2,7,1,3]=>[4,1,5,3,7,2,8,6]=>[1,2,2,2,1]=>11010101=>6 [6,8,4,5,2,7,1,3]=>[3,1,5,4,7,2,8,6]=>[1,2,2,2,1]=>11010101=>6 [7,8,4,5,2,6,1,3]=>[2,1,5,4,7,3,8,6]=>[1,2,2,2,1]=>11010101=>6 [6,8,4,5,2,3,1,7]=>[3,1,5,4,7,6,8,2]=>[1,2,2,2,1]=>11010101=>6 [5,8,4,6,2,3,1,7]=>[4,1,5,3,7,6,8,2]=>[1,2,2,2,1]=>11010101=>6 [5,6,4,8,2,3,1,7]=>[4,3,5,1,7,6,8,2]=>[1,2,2,2,1]=>11010101=>6 [5,6,3,8,2,4,1,7]=>[4,3,6,1,7,5,8,2]=>[1,2,2,2,1]=>11010101=>6 [5,6,3,4,2,8,1,7]=>[4,3,6,5,7,1,8,2]=>[1,2,2,2,1]=>11010101=>6 [4,6,3,5,2,7,1,8]=>[5,3,6,4,7,2,8,1]=>[1,2,2,2,1]=>11010101=>6 [4,6,3,5,2,8,1,7]=>[5,3,6,4,7,1,8,2]=>[1,2,2,2,1]=>11010101=>6 [4,6,3,8,2,5,1,7]=>[5,3,6,1,7,4,8,2]=>[1,2,2,2,1]=>11010101=>6 [4,8,3,6,2,5,1,7]=>[5,1,6,3,7,4,8,2]=>[1,2,2,2,1]=>11010101=>6 [5,8,3,6,2,4,1,7]=>[4,1,6,3,7,5,8,2]=>[1,2,2,2,1]=>11010101=>6 [6,8,3,5,2,4,1,7]=>[3,1,6,4,7,5,8,2]=>[1,2,2,2,1]=>11010101=>6 [7,8,3,5,2,4,1,6]=>[2,1,6,4,7,5,8,3]=>[1,2,2,2,1]=>11010101=>6 [7,8,3,5,2,6,1,4]=>[2,1,6,4,7,3,8,5]=>[1,2,2,2,1]=>11010101=>6 [5,8,3,6,2,7,1,4]=>[4,1,6,3,7,2,8,5]=>[1,2,2,2,1]=>11010101=>6 [4,8,3,6,2,7,1,5]=>[5,1,6,3,7,2,8,4]=>[1,2,2,2,1]=>11010101=>6 [4,6,3,8,2,7,1,5]=>[5,3,6,1,7,2,8,4]=>[1,2,2,2,1]=>11010101=>6 [4,6,3,7,2,8,1,5]=>[5,3,6,2,7,1,8,4]=>[1,2,2,2,1]=>11010101=>6 [4,7,3,6,2,5,1,8]=>[5,2,6,3,7,4,8,1]=>[1,2,2,2,1]=>11010101=>6 [4,7,3,6,2,8,1,5]=>[5,2,6,3,7,1,8,4]=>[1,2,2,2,1]=>11010101=>6 [4,7,3,8,2,6,1,5]=>[5,2,6,1,7,3,8,4]=>[1,2,2,2,1]=>11010101=>6 [5,7,4,8,2,6,1,3]=>[4,2,5,1,7,3,8,6]=>[1,2,2,2,1]=>11010101=>6 [5,7,3,6,2,8,1,4]=>[4,2,6,3,7,1,8,5]=>[1,2,2,2,1]=>11010101=>6 [5,7,3,6,2,4,1,8]=>[4,2,6,3,7,5,8,1]=>[1,2,2,2,1]=>11010101=>6 [6,7,3,5,2,4,1,8]=>[3,2,6,4,7,5,8,1]=>[1,2,2,2,1]=>11010101=>6 [6,7,3,5,2,8,1,4]=>[3,2,6,4,7,1,8,5]=>[1,2,2,2,1]=>11010101=>6 [6,7,4,8,2,5,1,3]=>[3,2,5,1,7,4,8,6]=>[1,2,2,2,1]=>11010101=>6 [6,7,5,8,2,4,1,3]=>[3,2,4,1,7,5,8,6]=>[1,2,2,2,1]=>11010101=>6 [6,8,5,7,2,3,1,4]=>[3,1,4,2,7,6,8,5]=>[1,2,2,2,1]=>11010101=>6 [6,7,4,8,2,3,1,5]=>[3,2,5,1,7,6,8,4]=>[1,2,2,2,1]=>11010101=>6 [6,7,3,8,2,4,1,5]=>[3,2,6,1,7,5,8,4]=>[1,2,2,2,1]=>11010101=>6 [6,7,3,4,2,8,1,5]=>[3,2,6,5,7,1,8,4]=>[1,2,2,2,1]=>11010101=>6 [5,7,3,4,2,6,1,8]=>[4,2,6,5,7,3,8,1]=>[1,2,2,2,1]=>11010101=>6 [5,7,3,4,2,8,1,6]=>[4,2,6,5,7,1,8,3]=>[1,2,2,2,1]=>11010101=>6 [5,7,4,8,2,3,1,6]=>[4,2,5,1,7,6,8,3]=>[1,2,2,2,1]=>11010101=>6 [5,8,4,7,2,3,1,6]=>[4,1,5,2,7,6,8,3]=>[1,2,2,2,1]=>11010101=>6 [6,8,4,7,2,3,1,5]=>[3,1,5,2,7,6,8,4]=>[1,2,2,2,1]=>11010101=>6 [7,8,4,6,2,3,1,5]=>[2,1,5,3,7,6,8,4]=>[1,2,2,2,1]=>11010101=>6 [7,8,3,6,2,4,1,5]=>[2,1,6,3,7,5,8,4]=>[1,2,2,2,1]=>11010101=>6 [6,8,3,7,2,4,1,5]=>[3,1,6,2,7,5,8,4]=>[1,2,2,2,1]=>11010101=>6 [5,8,3,7,2,4,1,6]=>[4,1,6,2,7,5,8,3]=>[1,2,2,2,1]=>11010101=>6 [4,8,3,7,2,5,1,6]=>[5,1,6,2,7,4,8,3]=>[1,2,2,2,1]=>11010101=>6 [4,7,3,8,2,5,1,6]=>[5,2,6,1,7,4,8,3]=>[1,2,2,2,1]=>11010101=>6 [4,7,3,5,2,8,1,6]=>[5,2,6,4,7,1,8,3]=>[1,2,2,2,1]=>11010101=>6 [4,7,3,5,2,6,1,8]=>[5,2,6,4,7,3,8,1]=>[1,2,2,2,1]=>11010101=>6 [4,5,3,7,2,6,1,8]=>[5,4,6,2,7,3,8,1]=>[1,2,2,2,1]=>11010101=>6 [4,5,3,7,2,8,1,6]=>[5,4,6,2,7,1,8,3]=>[1,2,2,2,1]=>11010101=>6 [4,5,3,8,2,7,1,6]=>[5,4,6,1,7,2,8,3]=>[1,2,2,2,1]=>11010101=>6 [4,8,3,5,2,7,1,6]=>[5,1,6,4,7,2,8,3]=>[1,2,2,2,1]=>11010101=>6 [5,8,3,4,2,7,1,6]=>[4,1,6,5,7,2,8,3]=>[1,2,2,2,1]=>11010101=>6 [6,8,3,4,2,7,1,5]=>[3,1,6,5,7,2,8,4]=>[1,2,2,2,1]=>11010101=>6 [7,8,3,4,2,6,1,5]=>[2,1,6,5,7,3,8,4]=>[1,2,2,2,1]=>11010101=>6 [6,8,3,4,2,5,1,7]=>[3,1,6,5,7,4,8,2]=>[1,2,2,2,1]=>11010101=>6 [5,8,3,4,2,6,1,7]=>[4,1,6,5,7,3,8,2]=>[1,2,2,2,1]=>11010101=>6 [4,8,3,5,2,6,1,7]=>[5,1,6,4,7,3,8,2]=>[1,2,2,2,1]=>11010101=>6 [4,5,3,8,2,6,1,7]=>[5,4,6,1,7,3,8,2]=>[1,2,2,2,1]=>11010101=>6 [4,5,3,6,2,8,1,7]=>[5,4,6,3,7,1,8,2]=>[1,2,2,2,1]=>11010101=>6 [4,7,5,2,1,8,3,6]=>[5,2,4,7,8,1,6,3]=>[1,4,2,1]=>11000101=>4 [4,8,5,2,1,7,6,3]=>[5,1,4,7,8,2,3,6]=>[1,4,3]=>11000100=>3 [4,6,5,2,1,3,8,7]=>[5,3,4,7,8,6,1,2]=>[1,4,1,2]=>11000110=>3 [5,6,4,2,3,1,8,7]=>[4,3,5,7,6,8,1,2]=>[1,3,2,2]=>11001010=>5 [6,4,5,3,1,2,8,7]=>[3,5,4,6,8,7,1,2]=>[2,3,1,2]=>10100110=>5 [5,4,6,1,3,2,8,7]=>[4,5,3,8,6,7,1,2]=>[2,2,2,2]=>10101010=>7 [4,6,8,1,7,3,2,5]=>[5,3,1,8,2,6,7,4]=>[1,1,2,3,1]=>11101001=>4 [4,7,8,1,6,3,5,2]=>[5,2,1,8,3,6,4,7]=>[1,1,2,2,2]=>11101010=>5 [7,4,8,1,6,5,3,2]=>[2,5,1,8,3,4,6,7]=>[2,2,4]=>10101000=>5 [5,4,8,1,3,7,6,2]=>[4,5,1,8,6,2,3,7]=>[2,2,1,3]=>10101100=>5 [8,4,5,3,1,7,6,2]=>[1,5,4,6,8,2,3,7]=>[2,3,3]=>10100100=>5 [5,4,7,1,3,8,2,6]=>[4,5,2,8,6,1,7,3]=>[2,2,1,2,1]=>10101101=>6 [6,4,8,1,7,5,2,3]=>[3,5,1,8,2,4,7,6]=>[2,2,3,1]=>10101001=>6 [5,6,8,7,2,1,3,4]=>[4,3,1,2,7,8,6,5]=>[1,1,4,1,1]=>11100011=>2 [8,5,7,6,4,2,1,3]=>[1,4,2,3,5,7,8,6]=>[2,5,1]=>10100001=>4 [8,4,6,3,7,2,1,5]=>[1,5,3,6,2,7,8,4]=>[2,2,3,1]=>10101001=>6 [6,3,2,8,7,4,1,5]=>[3,6,7,1,2,5,8,4]=>[3,4,1]=>10010001=>4 [2,1,6,8,7,4,3,5]=>[7,8,3,1,2,5,6,4]=>[2,1,4,1]=>10110001=>4 [2,1,7,8,6,4,5,3]=>[7,8,2,1,3,5,4,6]=>[2,1,3,2]=>10110010=>5 [7,3,2,8,6,4,5,1]=>[2,6,7,1,3,5,4,8]=>[3,3,2]=>10010010=>5 [7,6,8,5,2,4,3,1]=>[2,3,1,4,7,5,6,8]=>[2,3,3]=>10100100=>5 [5,7,8,6,2,3,1,4]=>[4,2,1,3,7,6,8,5]=>[1,1,3,2,1]=>11100101=>4 [5,8,7,6,3,2,1,4]=>[4,1,2,3,6,7,8,5]=>[1,6,1]=>11000001=>2 [6,8,7,5,3,2,4,1]=>[3,1,2,4,6,7,5,8]=>[1,5,2]=>11000010=>3 [5,8,4,2,3,7,6,1]=>[4,1,5,7,6,2,3,8]=>[1,3,1,3]=>11001100=>3 [7,8,4,2,6,5,3,1]=>[2,1,5,7,3,4,6,8]=>[1,3,4]=>11001000=>3 [4,8,7,2,6,3,5,1]=>[5,1,2,7,3,6,4,8]=>[1,3,2,2]=>11001010=>5 [4,8,6,2,7,3,1,5]=>[5,1,3,7,2,6,8,4]=>[1,3,3,1]=>11001001=>4 [3,6,1,8,7,4,2,5]=>[6,3,8,1,2,5,7,4]=>[1,2,4,1]=>11010001=>4 [3,7,1,8,6,4,5,2]=>[6,2,8,1,3,5,4,7]=>[1,2,3,2]=>11010010=>5 [3,8,1,6,7,5,2,4]=>[6,1,8,3,2,4,7,5]=>[1,2,1,3,1]=>11011001=>4 [3,7,1,6,8,2,5,4]=>[6,2,8,3,1,7,4,5]=>[1,2,1,2,2]=>11011010=>5 [4,7,6,2,8,1,3,5]=>[5,2,3,7,1,8,6,4]=>[1,3,2,1,1]=>11001011=>4 [6,7,4,2,8,1,5,3]=>[3,2,5,7,1,8,4,6]=>[1,3,2,2]=>11001010=>5 [6,8,4,2,7,5,1,3]=>[3,1,5,7,2,4,8,6]=>[1,3,3,1]=>11001001=>4 [2,1,8,6,7,5,3,4]=>[7,8,1,3,2,4,6,5]=>[2,2,3,1]=>10101001=>6 [8,3,2,6,7,5,1,4]=>[1,6,7,3,2,4,8,5]=>[3,1,3,1]=>10011001=>4 [8,6,4,3,7,5,1,2]=>[1,3,5,6,2,4,8,7]=>[4,3,1]=>10001001=>4 [5,8,6,7,3,1,2,4]=>[4,1,3,2,6,8,7,5]=>[1,2,3,1,1]=>11010011=>4 [6,7,5,8,1,3,4,2]=>[3,2,4,1,8,6,5,7]=>[1,2,2,1,2]=>11010110=>5 [7,6,5,8,1,4,3,2]=>[2,3,4,1,8,5,6,7]=>[3,2,3]=>10010100=>5 [8,6,5,7,4,1,3,2]=>[1,3,4,2,5,8,6,7]=>[3,3,2]=>10010010=>5 [7,6,4,3,8,1,5,2]=>[2,3,5,6,1,8,4,7]=>[4,2,2]=>10001010=>5 [7,3,2,6,8,1,5,4]=>[2,6,7,3,1,8,4,5]=>[3,1,2,2]=>10011010=>5 [2,1,7,6,8,3,5,4]=>[7,8,2,3,1,6,4,5]=>[2,2,2,2]=>10101010=>7 [7,5,6,8,1,4,2,3]=>[2,4,3,1,8,5,7,6]=>[2,1,2,2,1]=>10110101=>6 [6,5,7,8,1,2,4,3]=>[3,4,2,1,8,7,5,6]=>[2,1,2,1,2]=>10110110=>5 [8,1,3,7,4,6,5,2]=>[1,8,6,2,5,3,4,7]=>[2,1,2,3]=>10110100=>5 [5,2,8,7,4,6,1,3]=>[4,7,1,2,5,3,8,6]=>[2,3,2,1]=>10100101=>6 [1,6,2,5,4,7,3,8]=>[8,3,7,4,5,2,6,1]=>[1,2,2,2,1]=>11010101=>6 [6,2,7,5,4,8,3,1]=>[3,7,2,4,5,1,6,8]=>[2,3,3]=>10100100=>5 [8,1,3,5,4,7,6,2]=>[1,8,6,4,5,2,3,7]=>[2,1,2,3]=>10110100=>5 [6,1,5,4,3,8,7,2]=>[3,8,4,5,6,1,2,7]=>[2,3,3]=>10100100=>5 [6,1,8,3,4,5,7,2]=>[3,8,1,6,5,4,2,7]=>[2,2,1,1,2]=>10101110=>5 [7,1,5,3,4,8,6,2]=>[2,8,4,6,5,1,3,7]=>[2,2,1,3]=>10101100=>5 [7,1,4,3,5,6,8,2]=>[2,8,5,6,4,3,1,7]=>[2,2,1,1,2]=>10101110=>5 [8,1,3,4,5,6,7,2]=>[1,8,6,5,4,3,2,7]=>[2,1,1,1,1,2]=>10111110=>3 [1,7,2,4,5,6,3,8]=>[8,2,7,5,4,3,6,1]=>[1,2,1,1,2,1]=>11011101=>4 [6,3,2,7,5,1,8,4]=>[3,6,7,2,4,8,1,5]=>[3,3,2]=>10010010=>5 [8,4,7,2,5,6,1,3]=>[1,5,2,7,4,3,8,6]=>[2,2,1,2,1]=>10101101=>6 [6,5,8,2,4,7,3,1]=>[3,4,1,7,5,2,6,8]=>[2,2,1,3]=>10101100=>5 [8,5,2,1,4,3,7,6]=>[1,4,7,8,5,6,2,3]=>[4,2,2]=>10001010=>5 [6,5,2,8,4,1,3,7]=>[3,4,7,1,5,8,6,2]=>[3,3,1,1]=>10010011=>4 [5,6,2,1,4,8,3,7]=>[4,3,7,8,5,1,6,2]=>[1,3,1,2,1]=>11001101=>4 [3,6,1,8,5,2,4,7]=>[6,3,8,1,4,7,5,2]=>[1,2,3,1,1]=>11010011=>4 [1,2,6,3,5,4,7,8]=>[8,7,3,6,4,5,2,1]=>[1,1,2,2,1,1]=>11101011=>4 [3,4,1,2,8,6,5,7]=>[6,5,8,7,1,3,4,2]=>[1,2,1,3,1]=>11011001=>4 [4,3,1,2,6,8,5,7]=>[5,6,8,7,3,1,4,2]=>[3,1,1,2,1]=>10011101=>4 [5,8,1,6,3,2,4,7]=>[4,1,8,3,6,7,5,2]=>[1,2,3,1,1]=>11010011=>4 [6,3,8,5,2,1,4,7]=>[3,6,1,4,7,8,5,2]=>[2,4,1,1]=>10100011=>4 [8,3,1,5,2,4,7,6]=>[1,6,8,4,7,5,2,3]=>[3,2,1,2]=>10010110=>5 [3,8,2,6,1,5,7,4]=>[6,1,7,3,8,4,2,5]=>[1,2,2,1,2]=>11010110=>5 [3,8,6,7,2,1,5,4]=>[6,1,3,2,7,8,4,5]=>[1,2,3,2]=>11010010=>5 [8,5,6,4,2,1,7,3]=>[1,4,3,5,7,8,2,6]=>[2,4,2]=>10100010=>5 [7,2,5,8,3,1,6,4]=>[2,7,4,1,6,8,3,5]=>[2,1,3,2]=>10110010=>5 [1,7,5,6,3,2,4,8]=>[8,2,4,3,6,7,5,1]=>[1,2,3,1,1]=>11010011=>4 [6,1,2,3,8,5,7,4]=>[3,8,7,6,1,4,2,5]=>[2,1,1,2,2]=>10111010=>5 [7,1,2,3,6,5,8,4]=>[2,8,7,6,3,4,1,5]=>[2,1,1,2,2]=>10111010=>5 [7,2,1,3,8,6,4,5]=>[2,7,8,6,1,3,5,4]=>[3,1,3,1]=>10011001=>4 [1,5,7,3,2,4,6,8]=>[8,4,2,6,7,5,3,1]=>[1,1,3,1,1,1]=>11100111=>2 [5,2,7,3,1,8,4,6]=>[4,7,2,6,8,1,5,3]=>[2,3,2,1]=>10100101=>6 [5,8,2,4,1,3,7,6]=>[4,1,7,5,8,6,2,3]=>[1,2,2,1,2]=>11010110=>5 [8,7,2,6,3,4,1,5]=>[1,2,7,3,6,5,8,4]=>[3,2,2,1]=>10010101=>6 [4,8,1,6,3,2,7,5]=>[5,1,8,3,6,7,2,4]=>[1,2,3,2]=>11010010=>5 [3,1,8,6,4,2,7,5]=>[6,8,1,3,5,7,2,4]=>[2,4,2]=>10100010=>5 [8,1,6,7,4,3,2,5]=>[1,8,3,2,5,6,7,4]=>[2,1,4,1]=>10110001=>4 [3,5,8,7,2,4,1,6]=>[6,4,1,2,7,5,8,3]=>[1,1,3,2,1]=>11100101=>4 [4,2,1,3,7,8,5,6]=>[5,7,8,6,2,1,4,3]=>[3,1,1,2,1]=>10011101=>4 [2,4,1,3,8,7,5,6]=>[7,5,8,6,1,2,4,3]=>[1,2,1,3,1]=>11011001=>4 [2,5,8,3,1,7,4,6]=>[7,4,1,6,8,2,5,3]=>[1,1,3,2,1]=>11100101=>4 [8,6,1,3,7,2,4,5]=>[1,3,8,6,2,7,5,4]=>[3,1,2,1,1]=>10011011=>4 [2,8,1,3,6,4,7,5]=>[7,1,8,6,3,5,2,4]=>[1,2,1,2,2]=>11011010=>5 [6,8,2,3,4,1,5,7]=>[3,1,7,6,5,8,4,2]=>[1,2,1,2,1,1]=>11011011=>4 [5,1,8,3,2,4,6,7]=>[4,8,1,6,7,5,3,2]=>[2,3,1,1,1]=>10100111=>4 [9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[9]=>100000000=>1 [8,9,7,6,5,4,3,2,1]=>[2,1,3,4,5,6,7,8,9]=>[1,8]=>110000000=>1 [8,7,9,6,5,4,3,2,1]=>[2,3,1,4,5,6,7,8,9]=>[2,7]=>101000000=>3 [8,7,6,9,5,4,3,2,1]=>[2,3,4,1,5,6,7,8,9]=>[3,6]=>100100000=>3 [8,7,6,5,9,4,3,2,1]=>[2,3,4,5,1,6,7,8,9]=>[4,5]=>100010000=>3 [8,7,6,5,4,9,3,2,1]=>[2,3,4,5,6,1,7,8,9]=>[5,4]=>100001000=>3 [8,7,6,5,4,3,9,2,1]=>[2,3,4,5,6,7,1,8,9]=>[6,3]=>100000100=>3 [8,7,6,5,4,3,2,9,1]=>[2,3,4,5,6,7,8,1,9]=>[7,2]=>100000010=>3 [8,7,6,5,4,3,2,1,9]=>[2,3,4,5,6,7,8,9,1]=>[8,1]=>100000001=>2 [7,8,9,6,5,4,3,2,1]=>[3,2,1,4,5,6,7,8,9]=>[1,1,7]=>111000000=>1 [8,6,7,9,5,4,3,2,1]=>[2,4,3,1,5,6,7,8,9]=>[2,1,6]=>101100000=>3 [8,7,5,6,9,4,3,2,1]=>[2,3,5,4,1,6,7,8,9]=>[3,1,5]=>100110000=>3 [8,7,6,4,5,9,3,2,1]=>[2,3,4,6,5,1,7,8,9]=>[4,1,4]=>100011000=>3 [8,7,6,5,3,4,9,2,1]=>[2,3,4,5,7,6,1,8,9]=>[5,1,3]=>100001100=>3 [8,7,6,5,4,2,3,9,1]=>[2,3,4,5,6,8,7,1,9]=>[6,1,2]=>100000110=>3 [8,7,6,5,4,3,1,2,9]=>[2,3,4,5,6,7,9,8,1]=>[7,1,1]=>100000011=>2 [1,4,2,7,8,6,3,5]=>[8,5,7,2,1,3,6,4]=>[1,2,1,3,1]=>11011001=>4 [1,6,2,4,8,5,3,7]=>[8,3,7,5,1,4,6,2]=>[1,2,1,3,1]=>11011001=>4 [1,6,2,4,7,5,3,8]=>[8,3,7,5,2,4,6,1]=>[1,2,1,3,1]=>11011001=>4 [1,7,3,8,5,2,4,6]=>[8,2,6,1,4,7,5,3]=>[1,2,3,1,1]=>11010011=>4 [1,7,3,2,8,6,4,5]=>[8,2,6,7,1,3,5,4]=>[1,3,3,1]=>11001001=>4 [4,2,5,7,8,6,1,3]=>[5,7,4,2,1,3,8,6]=>[2,1,1,3,1]=>10111001=>4 [7,2,3,1,8,5,6,4]=>[2,7,6,8,1,4,3,5]=>[2,2,2,2]=>10101010=>7 [8,2,5,1,7,3,4,6]=>[1,7,4,8,2,6,5,3]=>[2,2,2,1,1]=>10101011=>6 [6,2,1,8,3,4,7,5]=>[3,7,8,1,6,5,2,4]=>[3,2,1,2]=>10010110=>5 [6,2,8,3,5,1,7,4]=>[3,7,1,6,4,8,2,5]=>[2,2,2,2]=>10101010=>7 [6,2,4,8,5,7,1,3]=>[3,7,5,1,4,2,8,6]=>[2,1,2,2,1]=>10110101=>6 [1,3,6,4,8,5,7,2]=>[8,6,3,5,1,4,2,7]=>[1,1,2,2,2]=>11101010=>5 [1,3,6,4,7,5,8,2]=>[8,6,3,5,2,4,1,7]=>[1,1,2,2,2]=>11101010=>5 [6,2,4,7,5,8,1,3]=>[3,7,5,2,4,1,8,6]=>[2,1,2,2,1]=>10110101=>6 [6,2,1,3,7,8,4,5]=>[3,7,8,6,2,1,5,4]=>[3,1,1,2,1]=>10011101=>4 [7,8,2,1,4,3,5,6]=>[2,1,7,8,5,6,4,3]=>[1,3,2,1,1]=>11001011=>4 [7,6,4,2,3,1,8,5]=>[2,3,5,7,6,8,1,4]=>[4,2,2]=>10001010=>5 [5,7,2,3,1,6,8,4]=>[4,2,7,6,8,3,1,5]=>[1,2,2,1,2]=>11010110=>5 [7,5,4,2,6,8,1,3]=>[2,4,5,7,3,1,8,6]=>[4,1,2,1]=>10001101=>4 [1,7,5,3,4,6,8,2]=>[8,2,4,6,5,3,1,7]=>[1,3,1,1,2]=>11001110=>3 [8,2,5,4,6,7,1,3]=>[1,7,4,5,3,2,8,6]=>[2,2,1,2,1]=>10101101=>6 [5,2,6,3,1,8,7,4]=>[4,7,3,6,8,1,2,5]=>[2,3,3]=>10100100=>5 [8,2,6,4,3,1,7,5]=>[1,7,3,5,6,8,2,4]=>[2,4,2]=>10100010=>5 [8,2,7,4,1,3,5,6]=>[1,7,2,5,8,6,4,3]=>[2,3,1,1,1]=>10100111=>4 [1,2,8,4,3,5,6,7]=>[8,7,1,5,6,4,3,2]=>[1,1,3,1,1,1]=>11100111=>2 [1,7,4,2,3,5,6,8]=>[8,2,5,7,6,4,3,1]=>[1,3,1,1,1,1]=>11001111=>2 [6,8,4,1,3,2,5,7]=>[3,1,5,8,6,7,4,2]=>[1,3,2,1,1]=>11001011=>4 [1,8,7,4,3,2,5,6]=>[8,1,2,5,6,7,4,3]=>[1,5,1,1]=>11000011=>2 [1,6,3,8,2,4,7,5]=>[8,3,6,1,7,5,2,4]=>[1,2,2,1,2]=>11010110=>5 [5,3,8,1,2,7,4,6]=>[4,6,1,8,7,2,5,3]=>[2,2,1,2,1]=>10101101=>6 [5,1,8,3,2,6,4,7]=>[4,8,1,6,7,3,5,2]=>[2,3,2,1]=>10100101=>6 [5,7,3,1,2,6,4,8]=>[4,2,6,8,7,3,5,1]=>[1,3,1,2,1]=>11001101=>4 [1,7,5,4,2,6,3,8]=>[8,2,4,5,7,3,6,1]=>[1,4,2,1]=>11000101=>4 [1,5,8,2,4,6,3,7]=>[8,4,1,7,5,3,6,2]=>[1,1,2,1,2,1]=>11101101=>4 [1,5,8,4,2,7,3,6]=>[8,4,1,5,7,2,6,3]=>[1,1,3,2,1]=>11100101=>4 [1,4,6,2,8,3,7,5]=>[8,5,3,7,1,6,2,4]=>[1,1,2,2,2]=>11101010=>5 [5,3,1,6,7,2,4,8]=>[4,6,8,3,2,7,5,1]=>[3,1,2,1,1]=>10011011=>4 [5,3,6,1,2,8,4,7]=>[4,6,3,8,7,1,5,2]=>[2,2,1,2,1]=>10101101=>6 [1,6,3,2,7,8,4,5]=>[8,3,6,7,2,1,5,4]=>[1,3,1,2,1]=>11001101=>4 [1,7,4,5,3,8,6,2]=>[8,2,5,4,6,1,3,7]=>[1,2,2,3]=>11010100=>5 [6,3,4,1,2,5,8,7]=>[3,6,5,8,7,4,1,2]=>[2,2,1,1,2]=>10101110=>5 [6,3,1,4,2,7,5,8]=>[3,6,8,5,7,2,4,1]=>[3,2,2,1]=>10010101=>6 [1,8,3,2,4,5,6,7]=>[8,1,6,7,5,4,3,2]=>[1,3,1,1,1,1]=>11001111=>2 [8,6,3,2,4,1,7,5]=>[1,3,6,7,5,8,2,4]=>[4,2,2]=>10001010=>5 [8,5,3,2,6,7,1,4]=>[1,4,6,7,3,2,8,5]=>[4,1,2,1]=>10001101=>4 [4,5,2,6,8,1,7,3]=>[5,4,7,3,1,8,2,6]=>[1,2,1,2,2]=>11011010=>5 [4,2,5,6,7,8,1,3]=>[5,7,4,3,2,1,8,6]=>[2,1,1,1,2,1]=>10111101=>4 [5,2,3,6,7,1,8,4]=>[4,7,6,3,2,8,1,5]=>[2,1,1,2,2]=>10111010=>5 [6,2,3,4,1,7,8,5]=>[3,7,6,5,8,2,1,4]=>[2,1,2,1,2]=>10110110=>5 [7,2,3,1,4,5,8,6]=>[2,7,6,8,5,4,1,3]=>[2,2,1,1,2]=>10101110=>5 [8,6,1,4,3,2,5,7]=>[1,3,8,5,6,7,4,2]=>[3,3,1,1]=>10010011=>4 [8,3,1,6,5,2,4,7]=>[1,6,8,3,4,7,5,2]=>[3,3,1,1]=>10010011=>4 [3,7,5,1,8,2,4,6]=>[6,2,4,8,1,7,5,3]=>[1,3,2,1,1]=>11001011=>4 [4,1,5,2,8,7,3,6]=>[5,8,4,7,1,2,6,3]=>[2,2,3,1]=>10101001=>6 [8,1,2,4,6,5,3,7]=>[1,8,7,5,3,4,6,2]=>[2,1,1,3,1]=>10111001=>4 [8,1,2,5,4,6,3,7]=>[1,8,7,4,5,3,6,2]=>[2,1,2,2,1]=>10110101=>6 [8,2,6,5,1,3,4,7]=>[1,7,3,4,8,6,5,2]=>[2,3,1,1,1]=>10100111=>4 [8,3,1,6,2,5,4,7]=>[1,6,8,3,7,4,5,2]=>[3,2,2,1]=>10010101=>6 [8,1,2,6,4,5,3,7]=>[1,8,7,3,5,4,6,2]=>[2,1,2,2,1]=>10110101=>6 [8,1,2,5,6,4,3,7]=>[1,8,7,4,3,5,6,2]=>[2,1,1,3,1]=>10111001=>4 [8,1,2,6,5,4,3,7]=>[1,8,7,3,4,5,6,2]=>[2,1,4,1]=>10110001=>4 [1,7,5,4,2,8,3,6]=>[8,2,4,5,7,1,6,3]=>[1,4,2,1]=>11000101=>4 [5,1,4,8,2,7,3,6]=>[4,8,5,1,7,2,6,3]=>[2,1,2,2,1]=>10110101=>6 [1,4,6,8,2,7,3,5]=>[8,5,3,1,7,2,6,4]=>[1,1,1,2,2,1]=>11110101=>4 [1,4,7,6,2,8,3,5]=>[8,5,2,3,7,1,6,4]=>[1,1,3,2,1]=>11100101=>4 [5,1,4,7,2,8,3,6]=>[4,8,5,2,7,1,6,3]=>[2,1,2,2,1]=>10110101=>6 [1,7,4,5,2,8,3,6]=>[8,2,5,4,7,1,6,3]=>[1,2,2,2,1]=>11010101=>6 [3,7,5,1,2,8,4,6]=>[6,2,4,8,7,1,5,3]=>[1,3,1,2,1]=>11001101=>4 [5,7,2,8,1,3,4,6]=>[4,2,7,1,8,6,5,3]=>[1,2,2,1,1,1]=>11010111=>4 [5,2,8,7,1,3,4,6]=>[4,7,1,2,8,6,5,3]=>[2,3,1,1,1]=>10100111=>4 [4,1,5,8,2,7,3,6]=>[5,8,4,1,7,2,6,3]=>[2,1,2,2,1]=>10110101=>6 [1,4,6,2,8,7,3,5]=>[8,5,3,7,1,2,6,4]=>[1,1,2,3,1]=>11101001=>4 [1,4,2,8,6,7,3,5]=>[8,5,7,1,3,2,6,4]=>[1,2,2,2,1]=>11010101=>6 [3,1,2,6,4,8,7,5]=>[6,8,7,3,5,1,2,4]=>[2,1,2,3]=>10110100=>5 [2,1,7,6,3,4,8,5]=>[7,8,2,3,6,5,1,4]=>[2,3,1,2]=>10100110=>5 [3,1,2,7,4,6,8,5]=>[6,8,7,2,5,3,1,4]=>[2,1,2,1,2]=>10110110=>5 [1,4,7,2,6,8,3,5]=>[8,5,2,7,3,1,6,4]=>[1,1,2,1,2,1]=>11101101=>4 [1,2,3,6,8,5,7,4]=>[8,7,6,3,1,4,2,5]=>[1,1,1,1,2,2]=>11111010=>3 [5,1,4,2,7,8,3,6]=>[4,8,5,7,2,1,6,3]=>[2,2,1,2,1]=>10101101=>6 [1,4,2,7,6,8,3,5]=>[8,5,7,2,3,1,6,4]=>[1,2,2,2,1]=>11010101=>6 [1,4,2,6,8,7,3,5]=>[8,5,7,3,1,2,6,4]=>[1,2,1,3,1]=>11011001=>4 [3,1,2,8,4,6,7,5]=>[6,8,7,1,5,3,2,4]=>[2,1,2,1,2]=>10110110=>5 [3,1,2,7,6,4,8,5]=>[6,8,7,2,3,5,1,4]=>[2,1,3,2]=>10110010=>5 [5,3,7,1,8,2,4,6]=>[4,6,2,8,1,7,5,3]=>[2,2,2,1,1]=>10101011=>6 [1,7,4,3,2,5,8,6]=>[8,2,5,6,7,4,1,3]=>[1,4,1,2]=>11000110=>3 [4,8,7,2,1,3,5,6]=>[5,1,2,7,8,6,4,3]=>[1,4,1,1,1]=>11000111=>2 [1,8,7,3,4,2,5,6]=>[8,1,2,6,5,7,4,3]=>[1,3,2,1,1]=>11001011=>4 [3,1,7,8,2,6,4,5]=>[6,8,2,1,7,3,5,4]=>[2,1,2,2,1]=>10110101=>6 [1,4,2,7,8,3,6,5]=>[8,5,7,2,1,6,3,4]=>[1,2,1,2,2]=>11011010=>5 [5,2,8,1,3,4,7,6]=>[4,7,1,8,6,5,2,3]=>[2,2,1,1,2]=>10101110=>5 [2,1,8,6,3,4,7,5]=>[7,8,1,3,6,5,2,4]=>[2,3,1,2]=>10100110=>5 [1,4,2,6,8,3,7,5]=>[8,5,7,3,1,6,2,4]=>[1,2,1,2,2]=>11011010=>5 [1,2,3,7,8,5,6,4]=>[8,7,6,2,1,4,3,5]=>[1,1,1,1,2,2]=>11111010=>3 [1,2,3,7,5,8,6,4]=>[8,7,6,2,4,1,3,5]=>[1,1,1,2,3]=>11110100=>3 [1,4,2,7,3,8,6,5]=>[8,5,7,2,6,1,3,4]=>[1,2,2,3]=>11010100=>5 [3,1,7,2,8,6,4,5]=>[6,8,2,7,1,3,5,4]=>[2,2,3,1]=>10101001=>6 [2,1,7,8,3,4,6,5]=>[7,8,2,1,6,5,3,4]=>[2,1,2,1,2]=>10110110=>5 [1,2,3,8,7,5,6,4]=>[8,7,6,1,2,4,3,5]=>[1,1,1,3,2]=>11110010=>3 [4,7,8,5,6,2,1,3]=>[5,2,1,4,3,7,8,6]=>[1,1,2,3,1]=>11101001=>4 [5,7,8,4,2,6,1,3]=>[4,2,1,5,7,3,8,6]=>[1,1,3,2,1]=>11100101=>4 [6,7,8,4,2,5,1,3]=>[3,2,1,5,7,4,8,6]=>[1,1,3,2,1]=>11100101=>4 [8,6,3,7,2,1,5,4]=>[1,3,6,2,7,8,4,5]=>[3,3,2]=>10010010=>5 [7,6,3,8,2,1,5,4]=>[2,3,6,1,7,8,4,5]=>[3,3,2]=>10010010=>5 [6,7,8,3,2,1,5,4]=>[3,2,1,6,7,8,4,5]=>[1,1,4,2]=>11100010=>3 [5,7,8,3,2,1,6,4]=>[4,2,1,6,7,8,3,5]=>[1,1,4,2]=>11100010=>3 [2,7,8,4,3,5,6,1]=>[7,2,1,5,6,4,3,8]=>[1,1,3,1,2]=>11100110=>3 [3,7,8,4,2,5,1,6]=>[6,2,1,5,7,4,8,3]=>[1,1,3,2,1]=>11100101=>4 [4,7,8,3,2,1,5,6]=>[5,2,1,6,7,8,4,3]=>[1,1,4,1,1]=>11100011=>2 [5,7,8,3,2,1,4,6]=>[4,2,1,6,7,8,5,3]=>[1,1,4,1,1]=>11100011=>2 [7,6,3,8,2,1,4,5]=>[2,3,6,1,7,8,5,4]=>[3,3,1,1]=>10010011=>4 [8,6,3,7,2,1,4,5]=>[1,3,6,2,7,8,5,4]=>[3,3,1,1]=>10010011=>4 [5,6,3,8,2,1,4,7]=>[4,3,6,1,7,8,5,2]=>[1,2,3,1,1]=>11010011=>4 [3,6,4,8,2,5,1,7]=>[6,3,5,1,7,4,8,2]=>[1,2,2,2,1]=>11010101=>6 [2,6,4,8,3,5,7,1]=>[7,3,5,1,6,4,2,8]=>[1,2,2,1,2]=>11010110=>5 [2,6,4,7,3,5,8,1]=>[7,3,5,2,6,4,1,8]=>[1,2,2,1,2]=>11010110=>5 [3,6,4,7,2,5,1,8]=>[6,3,5,2,7,4,8,1]=>[1,2,2,2,1]=>11010101=>6 [4,6,3,7,2,1,5,8]=>[5,3,6,2,7,8,4,1]=>[1,2,3,1,1]=>11010011=>4 [5,6,3,7,2,1,4,8]=>[4,3,6,2,7,8,5,1]=>[1,2,3,1,1]=>11010011=>4 [8,4,3,2,1,6,5,7]=>[1,5,6,7,8,3,4,2]=>[5,2,1]=>10000101=>4 [6,4,3,2,1,7,5,8]=>[3,5,6,7,8,2,4,1]=>[5,2,1]=>10000101=>4 [4,5,3,2,7,1,6,8]=>[5,4,6,7,2,8,3,1]=>[1,3,2,1,1]=>11001011=>4 [3,5,4,2,8,6,1,7]=>[6,4,5,7,1,3,8,2]=>[1,3,3,1]=>11001001=>4 [6,4,3,2,1,8,5,7]=>[3,5,6,7,8,1,4,2]=>[5,2,1]=>10000101=>4 [7,4,3,2,1,8,5,6]=>[2,5,6,7,8,1,4,3]=>[5,2,1]=>10000101=>4 [8,4,3,2,1,7,5,6]=>[1,5,6,7,8,2,4,3]=>[5,2,1]=>10000101=>4 [8,4,3,2,1,7,6,5]=>[1,5,6,7,8,2,3,4]=>[5,3]=>10000100=>3 [7,4,3,2,1,8,6,5]=>[2,5,6,7,8,1,3,4]=>[5,3]=>10000100=>3 [6,4,3,2,1,8,7,5]=>[3,5,6,7,8,1,2,4]=>[5,3]=>10000100=>3 [5,6,3,8,2,1,7,4]=>[4,3,6,1,7,8,2,5]=>[1,2,3,2]=>11010010=>5 [7,5,3,2,8,1,6,4]=>[2,4,6,7,1,8,3,5]=>[4,2,2]=>10001010=>5 [8,5,4,2,7,6,1,3]=>[1,4,5,7,2,3,8,6]=>[4,3,1]=>10001001=>4 [7,5,4,2,8,6,1,3]=>[2,4,5,7,1,3,8,6]=>[4,3,1]=>10001001=>4 [6,5,4,2,8,7,1,3]=>[3,4,5,7,1,2,8,6]=>[4,3,1]=>10001001=>4 [4,6,5,8,7,2,1,3]=>[5,3,4,1,2,7,8,6]=>[1,2,4,1]=>11010001=>4 [2,6,5,7,8,3,4,1]=>[7,3,4,2,1,6,5,8]=>[1,2,1,2,2]=>11011010=>5 [6,5,4,2,7,8,1,3]=>[3,4,5,7,2,1,8,6]=>[4,1,2,1]=>10001101=>4 [8,5,4,2,6,7,1,3]=>[1,4,5,7,3,2,8,6]=>[4,1,2,1]=>10001101=>4 [8,5,3,2,6,1,7,4]=>[1,4,6,7,3,8,2,5]=>[4,2,2]=>10001010=>5 [7,5,3,2,6,1,8,4]=>[2,4,6,7,3,8,1,5]=>[4,2,2]=>10001010=>5 [5,6,3,7,2,1,8,4]=>[4,3,6,2,7,8,1,5]=>[1,2,3,2]=>11010010=>5 [3,6,4,7,2,8,1,5]=>[6,3,5,2,7,1,8,4]=>[1,2,2,2,1]=>11010101=>6 [2,6,4,7,3,8,5,1]=>[7,3,5,2,6,1,4,8]=>[1,2,2,3]=>11010100=>5 [3,5,4,2,7,8,1,6]=>[6,4,5,7,2,1,8,3]=>[1,3,1,2,1]=>11001101=>4 [4,5,3,2,7,1,8,6]=>[5,4,6,7,2,8,1,3]=>[1,3,2,2]=>11001010=>5 [7,4,3,2,1,6,8,5]=>[2,5,6,7,8,3,1,4]=>[5,1,2]=>10000110=>3 [8,4,3,2,1,6,7,5]=>[1,5,6,7,8,3,2,4]=>[5,1,2]=>10000110=>3 [8,4,3,2,1,5,7,6]=>[1,5,6,7,8,4,2,3]=>[5,1,2]=>10000110=>3 [7,4,3,2,1,5,8,6]=>[2,5,6,7,8,4,1,3]=>[5,1,2]=>10000110=>3 [6,4,3,2,1,5,8,7]=>[3,5,6,7,8,4,1,2]=>[5,1,2]=>10000110=>3 [3,5,4,2,6,8,1,7]=>[6,4,5,7,3,1,8,2]=>[1,3,1,2,1]=>11001101=>4 [5,6,3,4,1,2,8,7]=>[4,3,6,5,8,7,1,2]=>[1,2,2,1,2]=>11010110=>5 [8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[3,2,3]=>10010100=>5 [8,5,7,4,2,6,3,1]=>[1,4,2,5,7,3,6,8]=>[2,3,3]=>10100100=>5 [7,5,8,4,2,6,1,3]=>[2,4,1,5,7,3,8,6]=>[2,3,2,1]=>10100101=>6 [2,1,7,8,5,6,3,4]=>[7,8,2,1,4,3,6,5]=>[2,1,2,2,1]=>10110101=>6 [6,8,3,7,5,1,4,2]=>[3,1,6,2,4,8,5,7]=>[1,2,3,2]=>11010010=>5 [5,7,3,8,1,6,2,4]=>[4,2,6,1,8,3,7,5]=>[1,2,2,2,1]=>11010101=>6 [3,2,6,4,8,5,1,7]=>[6,7,3,5,1,4,8,2]=>[2,2,3,1]=>10101001=>6 [3,2,5,8,4,6,1,7]=>[6,7,4,1,5,3,8,2]=>[2,1,2,2,1]=>10110101=>6 [3,5,2,4,1,7,6,8]=>[6,4,7,5,8,2,3,1]=>[1,2,2,2,1]=>11010101=>6 [4,2,1,5,7,3,6,8]=>[5,7,8,4,2,6,3,1]=>[3,1,2,1,1]=>10011011=>4 [4,2,5,3,8,1,6,7]=>[5,7,4,6,1,8,3,2]=>[2,2,2,1,1]=>10101011=>6 [4,2,5,8,3,1,6,7]=>[5,7,4,1,6,8,3,2]=>[2,1,3,1,1]=>10110011=>4 [3,1,5,4,2,8,6,7]=>[6,8,4,5,7,1,3,2]=>[2,3,2,1]=>10100101=>6 [4,1,5,3,8,2,6,7]=>[5,8,4,6,1,7,3,2]=>[2,2,2,1,1]=>10101011=>6 [4,1,5,8,3,2,6,7]=>[5,8,4,1,6,7,3,2]=>[2,1,3,1,1]=>10110011=>4 [4,3,8,5,2,1,6,7]=>[5,6,1,4,7,8,3,2]=>[2,4,1,1]=>10100011=>4 [4,7,3,5,2,1,6,8]=>[5,2,6,4,7,8,3,1]=>[1,2,3,1,1]=>11010011=>4 [4,3,2,7,5,1,6,8]=>[5,6,7,2,4,8,3,1]=>[3,3,1,1]=>10010011=>4 [4,3,6,2,5,1,7,8]=>[5,6,3,7,4,8,2,1]=>[2,2,2,1,1]=>10101011=>6 [4,6,3,2,5,1,7,8]=>[5,3,6,7,4,8,2,1]=>[1,3,2,1,1]=>11001011=>4 [4,6,7,1,3,2,5,8]=>[5,3,2,8,6,7,4,1]=>[1,1,2,2,1,1]=>11101011=>4 [4,5,1,7,3,2,6,8]=>[5,4,8,2,6,7,3,1]=>[1,2,3,1,1]=>11010011=>4 [2,5,1,4,3,7,8,6]=>[7,4,8,5,6,2,1,3]=>[1,2,2,1,2]=>11010110=>5 [5,2,1,4,3,7,8,6]=>[4,7,8,5,6,2,1,3]=>[3,2,1,2]=>10010110=>5 [4,3,1,5,7,2,6,8]=>[5,6,8,4,2,7,3,1]=>[3,1,2,1,1]=>10011011=>4 [4,3,6,1,5,2,7,8]=>[5,6,3,8,4,7,2,1]=>[2,2,2,1,1]=>10101011=>6 [4,6,3,1,5,2,7,8]=>[5,3,6,8,4,7,2,1]=>[1,3,2,1,1]=>11001011=>4 [4,3,6,1,7,2,5,8]=>[5,6,3,8,2,7,4,1]=>[2,2,2,1,1]=>10101011=>6 [6,3,4,1,2,7,5,8]=>[3,6,5,8,7,2,4,1]=>[2,2,1,2,1]=>10101101=>6 [6,2,4,1,3,7,8,5]=>[3,7,5,8,6,2,1,4]=>[2,2,1,1,2]=>10101110=>5 [3,6,4,1,2,7,5,8]=>[6,3,5,8,7,2,4,1]=>[1,3,1,2,1]=>11001101=>4 [4,6,3,1,7,2,5,8]=>[5,3,6,8,2,7,4,1]=>[1,3,2,1,1]=>11001011=>4 [5,6,2,7,1,3,4,8]=>[4,3,7,2,8,6,5,1]=>[1,2,2,1,1,1]=>11010111=>4 [4,5,2,7,3,1,6,8]=>[5,4,7,2,6,8,3,1]=>[1,2,3,1,1]=>11010011=>4 [4,6,2,1,7,3,5,8]=>[5,3,7,8,2,6,4,1]=>[1,3,2,1,1]=>11001011=>4 [3,2,6,1,4,7,5,8]=>[6,7,3,8,5,2,4,1]=>[2,2,1,2,1]=>10101101=>6 [3,6,7,2,4,5,1,8]=>[6,3,2,7,5,4,8,1]=>[1,1,2,1,2,1]=>11101101=>4 [3,5,2,7,4,6,1,8]=>[6,4,7,2,5,3,8,1]=>[1,2,2,2,1]=>11010101=>6 [3,7,2,4,8,5,1,6]=>[6,2,7,5,1,4,8,3]=>[1,2,1,3,1]=>11011001=>4 [7,2,1,4,6,3,8,5]=>[2,7,8,5,3,6,1,4]=>[3,1,2,2]=>10011010=>5 [7,3,1,4,6,8,2,5]=>[2,6,8,5,3,1,7,4]=>[3,1,1,2,1]=>10011101=>4 [3,2,6,1,5,7,4,8]=>[6,7,3,8,4,2,5,1]=>[2,2,1,2,1]=>10101101=>6 [3,6,2,1,5,7,4,8]=>[6,3,7,8,4,2,5,1]=>[1,3,1,2,1]=>11001101=>4 [6,3,2,1,5,7,4,8]=>[3,6,7,8,4,2,5,1]=>[4,1,2,1]=>10001101=>4 [6,4,2,1,5,3,7,8]=>[3,5,7,8,4,6,2,1]=>[4,2,1,1]=>10001011=>4 [4,2,6,1,5,3,7,8]=>[5,7,3,8,4,6,2,1]=>[2,2,2,1,1]=>10101011=>6 [4,2,1,7,5,3,6,8]=>[5,7,8,2,4,6,3,1]=>[3,3,1,1]=>10010011=>4 [7,4,1,5,6,2,3,8]=>[2,5,8,4,3,7,6,1]=>[3,1,2,1,1]=>10011011=>4 [7,3,1,5,2,6,4,8]=>[2,6,8,4,7,3,5,1]=>[3,2,2,1]=>10010101=>6 [7,2,1,5,3,6,8,4]=>[2,7,8,4,6,3,1,5]=>[3,2,1,2]=>10010110=>5 [6,2,5,1,3,7,8,4]=>[3,7,4,8,6,2,1,5]=>[2,2,1,1,2]=>10101110=>5 [6,3,5,1,2,7,4,8]=>[3,6,4,8,7,2,5,1]=>[2,2,1,2,1]=>10101101=>6 [6,4,5,1,7,2,3,8]=>[3,5,4,8,2,7,6,1]=>[2,2,2,1,1]=>10101011=>6 [5,2,6,4,1,3,7,8]=>[4,7,3,5,8,6,2,1]=>[2,3,1,1,1]=>10100111=>4 [4,6,5,1,7,2,3,8]=>[5,3,4,8,2,7,6,1]=>[1,3,2,1,1]=>11001011=>4 [3,6,5,1,2,7,4,8]=>[6,3,4,8,7,2,5,1]=>[1,3,1,2,1]=>11001101=>4 [6,5,2,1,4,7,8,3]=>[3,4,7,8,5,2,1,6]=>[4,1,1,2]=>10001110=>3 [6,5,3,1,4,7,2,8]=>[3,4,6,8,5,2,7,1]=>[4,1,2,1]=>10001101=>4 [2,3,1,8,5,4,7,6]=>[7,6,8,1,4,5,2,3]=>[1,2,3,2]=>11010010=>5 [2,4,1,5,8,3,7,6]=>[7,5,8,4,1,6,2,3]=>[1,2,1,2,2]=>11011010=>5 [2,4,1,5,3,8,7,6]=>[7,5,8,4,6,1,2,3]=>[1,2,2,3]=>11010100=>5 [3,4,5,1,2,8,7,6]=>[6,5,4,8,7,1,2,3]=>[1,1,2,1,3]=>11101100=>3 [3,4,5,1,8,2,7,6]=>[6,5,4,8,1,7,2,3]=>[1,1,2,2,2]=>11101010=>5 [1,8,4,5,3,2,7,6]=>[8,1,5,4,6,7,2,3]=>[1,2,3,2]=>11010010=>5 [2,4,8,5,3,1,7,6]=>[7,5,1,4,6,8,2,3]=>[1,1,4,2]=>11100010=>3 [3,4,5,8,2,1,7,6]=>[6,5,4,1,7,8,2,3]=>[1,1,1,3,2]=>11110010=>3 [3,4,5,2,8,1,7,6]=>[6,5,4,7,1,8,2,3]=>[1,1,2,2,2]=>11101010=>5 [3,4,6,2,1,7,8,5]=>[6,5,3,7,8,2,1,4]=>[1,1,3,1,2]=>11100110=>3 [3,4,6,2,1,7,5,8]=>[6,5,3,7,8,2,4,1]=>[1,1,3,2,1]=>11100101=>4 [3,5,6,2,7,1,4,8]=>[6,4,3,7,2,8,5,1]=>[1,1,2,2,1,1]=>11101011=>4 [3,5,6,2,7,1,8,4]=>[6,4,3,7,2,8,1,5]=>[1,1,2,2,2]=>11101010=>5 [3,5,6,2,7,8,1,4]=>[6,4,3,7,2,1,8,5]=>[1,1,2,1,2,1]=>11101101=>4 [3,4,6,2,8,7,1,5]=>[6,5,3,7,1,2,8,4]=>[1,1,2,3,1]=>11101001=>4 [3,4,6,8,2,7,1,5]=>[6,5,3,1,7,2,8,4]=>[1,1,1,2,2,1]=>11110101=>4 [2,4,8,6,3,7,1,5]=>[7,5,1,3,6,2,8,4]=>[1,1,3,2,1]=>11100101=>4 [1,8,4,6,3,7,2,5]=>[8,1,5,3,6,2,7,4]=>[1,2,2,2,1]=>11010101=>6 [1,8,4,6,3,7,5,2]=>[8,1,5,3,6,2,4,7]=>[1,2,2,3]=>11010100=>5 [3,4,6,8,2,7,5,1]=>[6,5,3,1,7,2,4,8]=>[1,1,1,2,3]=>11110100=>3 [3,4,6,2,8,7,5,1]=>[6,5,3,7,1,2,4,8]=>[1,1,2,4]=>11101000=>3 [3,5,6,2,7,8,4,1]=>[6,4,3,7,2,1,5,8]=>[1,1,2,1,3]=>11101100=>3 [3,5,6,2,7,4,1,8]=>[6,4,3,7,2,5,8,1]=>[1,1,2,3,1]=>11101001=>4 [4,5,6,7,2,8,3,1]=>[5,4,3,2,7,1,6,8]=>[1,1,1,2,3]=>11110100=>3 [3,5,6,8,7,2,4,1]=>[6,4,3,1,2,7,5,8]=>[1,1,1,3,2]=>11110010=>3 [2,5,8,6,7,3,4,1]=>[7,4,1,3,2,6,5,8]=>[1,1,2,2,2]=>11101010=>5 [1,8,5,6,7,3,4,2]=>[8,1,4,3,2,6,5,7]=>[1,2,1,2,2]=>11011010=>5 [1,8,5,6,7,3,2,4]=>[8,1,4,3,2,6,7,5]=>[1,2,1,3,1]=>11011001=>4 [2,5,8,6,7,3,1,4]=>[7,4,1,3,2,6,8,5]=>[1,1,2,3,1]=>11101001=>4 [3,5,6,8,7,2,1,4]=>[6,4,3,1,2,7,8,5]=>[1,1,1,4,1]=>11110001=>2 [4,5,6,7,2,1,8,3]=>[5,4,3,2,7,8,1,6]=>[1,1,1,3,2]=>11110010=>3 [3,4,6,1,8,7,2,5]=>[6,5,3,8,1,2,7,4]=>[1,1,2,3,1]=>11101001=>4 [2,4,1,6,8,7,3,5]=>[7,5,8,3,1,2,6,4]=>[1,2,1,3,1]=>11011001=>4 [2,3,1,8,6,7,4,5]=>[7,6,8,1,3,2,5,4]=>[1,2,2,2,1]=>11010101=>6 [1,8,3,2,6,7,5,4]=>[8,1,6,7,3,2,4,5]=>[1,3,1,3]=>11001100=>3 [2,5,1,6,7,8,4,3]=>[7,4,8,3,2,1,5,6]=>[1,2,1,1,3]=>11011100=>3 [2,5,1,6,7,4,8,3]=>[7,4,8,3,2,5,1,6]=>[1,2,1,2,2]=>11011010=>5 [2,5,1,6,7,4,3,8]=>[7,4,8,3,2,5,6,1]=>[1,2,1,3,1]=>11011001=>4 [3,5,6,1,7,4,2,8]=>[6,4,3,8,2,5,7,1]=>[1,1,2,3,1]=>11101001=>4 [3,5,6,1,7,4,8,2]=>[6,4,3,8,2,5,1,7]=>[1,1,2,2,2]=>11101010=>5 [3,4,6,1,8,7,5,2]=>[6,5,3,8,1,2,4,7]=>[1,1,2,4]=>11101000=>3 [3,4,6,8,1,7,5,2]=>[6,5,3,1,8,2,4,7]=>[1,1,1,2,3]=>11110100=>3 [2,4,8,6,1,7,5,3]=>[7,5,1,3,8,2,4,6]=>[1,1,3,3]=>11100100=>3 [1,8,4,6,2,7,5,3]=>[8,1,5,3,7,2,4,6]=>[1,2,2,3]=>11010100=>5 [1,8,5,6,7,2,4,3]=>[8,1,4,3,2,7,5,6]=>[1,2,1,2,2]=>11011010=>5 [2,5,8,6,7,1,4,3]=>[7,4,1,3,2,8,5,6]=>[1,1,2,2,2]=>11101010=>5 [3,5,6,8,7,1,4,2]=>[6,4,3,1,2,8,5,7]=>[1,1,1,3,2]=>11110010=>3 [4,5,6,7,8,1,3,2]=>[5,4,3,2,1,8,6,7]=>[1,1,1,1,2,2]=>11111010=>3 [4,5,6,7,1,3,8,2]=>[5,4,3,2,8,6,1,7]=>[1,1,1,2,1,2]=>11110110=>3 [4,5,6,7,1,3,2,8]=>[5,4,3,2,8,6,7,1]=>[1,1,1,2,2,1]=>11110101=>4 [4,5,6,7,3,1,8,2]=>[5,4,3,2,6,8,1,7]=>[1,1,1,3,2]=>11110010=>3 [3,5,6,8,7,4,1,2]=>[6,4,3,1,2,5,8,7]=>[1,1,1,4,1]=>11110001=>2 [2,5,8,6,7,4,1,3]=>[7,4,1,3,2,5,8,6]=>[1,1,2,3,1]=>11101001=>4 [1,8,5,6,7,4,2,3]=>[8,1,4,3,2,5,7,6]=>[1,2,1,3,1]=>11011001=>4 [1,8,5,6,7,4,3,2]=>[8,1,4,3,2,5,6,7]=>[1,2,1,4]=>11011000=>3 [2,5,8,6,7,4,3,1]=>[7,4,1,3,2,5,6,8]=>[1,1,2,4]=>11101000=>3 [8,2,5,3,7,1,6,4]=>[1,7,4,6,2,8,3,5]=>[2,2,2,2]=>10101010=>7 [8,2,4,3,7,1,6,5]=>[1,7,5,6,2,8,3,4]=>[2,2,2,2]=>10101010=>7 [5,8,2,4,3,7,1,6]=>[4,1,7,5,6,2,8,3]=>[1,2,2,2,1]=>11010101=>6 [4,2,5,6,1,8,3,7]=>[5,7,4,3,8,1,6,2]=>[2,1,2,2,1]=>10110101=>6 [4,2,5,6,1,7,3,8]=>[5,7,4,3,8,2,6,1]=>[2,1,2,2,1]=>10110101=>6 [6,1,5,7,3,2,4,8]=>[3,8,4,2,6,7,5,1]=>[2,1,3,1,1]=>10110011=>4 [6,1,5,8,3,2,4,7]=>[3,8,4,1,6,7,5,2]=>[2,1,3,1,1]=>10110011=>4 [3,8,2,4,7,1,5,6]=>[6,1,7,5,2,8,4,3]=>[1,2,1,2,1,1]=>11011011=>4 [3,6,8,2,4,7,1,5]=>[6,3,1,7,5,2,8,4]=>[1,1,2,1,2,1]=>11101101=>4 [4,3,5,6,7,1,8,2]=>[5,6,4,3,2,8,1,7]=>[2,1,1,2,2]=>10111010=>5 [3,7,1,5,6,8,2,4]=>[6,2,8,4,3,1,7,5]=>[1,2,1,1,2,1]=>11011101=>4 [3,7,1,5,8,2,4,6]=>[6,2,8,4,1,7,5,3]=>[1,2,1,2,1,1]=>11011011=>4 [8,3,2,4,6,1,5,7]=>[1,6,7,5,3,8,4,2]=>[3,1,2,1,1]=>10011011=>4 [7,3,2,4,6,1,5,8]=>[2,6,7,5,3,8,4,1]=>[3,1,2,1,1]=>10011011=>4 [3,2,5,1,7,4,6,8]=>[6,7,4,8,2,5,3,1]=>[2,2,2,1,1]=>10101011=>6 [3,2,5,1,8,4,6,7]=>[6,7,4,8,1,5,3,2]=>[2,2,2,1,1]=>10101011=>6 [3,2,5,1,7,8,4,6]=>[6,7,4,8,2,1,5,3]=>[2,2,1,2,1]=>10101101=>6 [7,8,3,2,4,6,1,5]=>[2,1,6,7,5,3,8,4]=>[1,3,1,2,1]=>11001101=>4 [6,1,5,7,8,3,2,4]=>[3,8,4,2,1,6,7,5]=>[2,1,1,3,1]=>10111001=>4 [4,2,5,6,1,7,8,3]=>[5,7,4,3,8,2,1,6]=>[2,1,2,1,2]=>10110110=>5 [5,7,6,1,8,3,4,2]=>[4,2,3,8,1,6,5,7]=>[1,3,2,2]=>11001010=>5 [5,8,6,1,7,3,4,2]=>[4,1,3,8,2,6,5,7]=>[1,3,2,2]=>11001010=>5 [6,1,5,8,7,3,2,4]=>[3,8,4,1,2,6,7,5]=>[2,1,4,1]=>10110001=>4 [8,7,3,2,4,6,1,5]=>[1,2,6,7,5,3,8,4]=>[4,1,2,1]=>10001101=>4 [3,2,5,1,8,7,4,6]=>[6,7,4,8,1,2,5,3]=>[2,2,3,1]=>10101001=>6 [3,2,5,1,6,4,7,8]=>[6,7,4,8,3,5,2,1]=>[2,2,2,1,1]=>10101011=>6 [3,2,4,1,8,7,5,6]=>[6,7,5,8,1,2,4,3]=>[2,2,3,1]=>10101001=>6 [3,2,5,1,6,8,7,4]=>[6,7,4,8,3,1,2,5]=>[2,2,1,3]=>10101100=>5 [3,8,6,5,1,7,4,2]=>[6,1,3,4,8,2,5,7]=>[1,4,3]=>11000100=>3 [3,7,6,5,1,8,4,2]=>[6,2,3,4,8,1,5,7]=>[1,4,3]=>11000100=>3 [6,5,1,7,8,4,2,3]=>[3,4,8,2,1,5,7,6]=>[3,1,3,1]=>10011001=>4 [3,2,5,1,6,7,8,4]=>[6,7,4,8,3,2,1,5]=>[2,2,1,1,2]=>10101110=>5 [3,2,4,1,8,5,6,7]=>[6,7,5,8,1,4,3,2]=>[2,2,2,1,1]=>10101011=>6 [3,2,4,1,7,5,6,8]=>[6,7,5,8,2,4,3,1]=>[2,2,2,1,1]=>10101011=>6 [3,2,4,1,6,8,5,7]=>[6,7,5,8,3,1,4,2]=>[2,2,1,2,1]=>10101101=>6 [3,2,4,1,8,5,7,6]=>[6,7,5,8,1,4,2,3]=>[2,2,2,2]=>10101010=>7 [8,3,2,4,7,6,1,5]=>[1,6,7,5,2,3,8,4]=>[3,1,3,1]=>10011001=>4 [3,2,5,1,8,4,7,6]=>[6,7,4,8,1,5,2,3]=>[2,2,2,2]=>10101010=>7 [3,2,5,1,6,7,4,8]=>[6,7,4,8,3,2,5,1]=>[2,2,1,2,1]=>10101101=>6 [6,5,1,7,4,2,3,8]=>[3,4,8,2,5,7,6,1]=>[3,3,1,1]=>10010011=>4 [6,5,1,8,4,2,3,7]=>[3,4,8,1,5,7,6,2]=>[3,3,1,1]=>10010011=>4 [8,4,2,3,7,5,1,6]=>[1,5,7,6,2,4,8,3]=>[3,1,3,1]=>10011001=>4 [4,2,6,1,8,3,7,5]=>[5,7,3,8,1,6,2,4]=>[2,2,2,2]=>10101010=>7 [5,2,6,1,8,3,7,4]=>[4,7,3,8,1,6,2,5]=>[2,2,2,2]=>10101010=>7 [8,4,6,1,7,3,5,2]=>[1,5,3,8,2,6,4,7]=>[2,2,2,2]=>10101010=>7 [5,2,6,1,8,4,7,3]=>[4,7,3,8,1,5,2,6]=>[2,2,2,2]=>10101010=>7 [7,4,2,3,8,5,1,6]=>[2,5,7,6,1,4,8,3]=>[3,1,3,1]=>10011001=>4 [8,5,1,6,4,2,3,7]=>[1,4,8,3,5,7,6,2]=>[3,3,1,1]=>10010011=>4 [7,5,1,6,4,2,3,8]=>[2,4,8,3,5,7,6,1]=>[3,3,1,1]=>10010011=>4 [3,2,5,1,7,6,4,8]=>[6,7,4,8,2,3,5,1]=>[2,2,3,1]=>10101001=>6 [3,2,5,1,8,6,4,7]=>[6,7,4,8,1,3,5,2]=>[2,2,3,1]=>10101001=>6 [7,3,2,4,8,6,1,5]=>[2,6,7,5,1,3,8,4]=>[3,1,3,1]=>10011001=>4 [8,6,1,5,7,3,2,4]=>[1,3,8,4,2,6,7,5]=>[3,1,3,1]=>10011001=>4 [4,2,6,1,8,5,7,3]=>[5,7,3,8,1,4,2,6]=>[2,2,2,2]=>10101010=>7 [8,5,6,1,7,3,4,2]=>[1,4,3,8,2,6,5,7]=>[2,2,2,2]=>10101010=>7 [3,6,8,5,1,7,4,2]=>[6,3,1,4,8,2,5,7]=>[1,1,3,3]=>11100100=>3 [8,5,1,6,7,4,2,3]=>[1,4,8,3,2,5,7,6]=>[3,1,3,1]=>10011001=>4 [3,2,5,1,8,6,7,4]=>[6,7,4,8,1,3,2,5]=>[2,2,2,2]=>10101010=>7 [3,2,4,1,8,6,5,7]=>[6,7,5,8,1,3,4,2]=>[2,2,3,1]=>10101001=>6 [3,2,4,1,5,8,6,7]=>[6,7,5,8,4,1,3,2]=>[2,2,1,2,1]=>10101101=>6 [3,2,5,1,7,8,6,4]=>[6,7,4,8,2,1,3,5]=>[2,2,1,3]=>10101100=>5 [7,8,5,1,6,4,2,3]=>[2,1,4,8,3,5,7,6]=>[1,3,3,1]=>11001001=>4 [3,8,5,1,7,6,4,2]=>[6,1,4,8,2,3,5,7]=>[1,3,4]=>11001000=>3 [3,7,5,1,8,6,4,2]=>[6,2,4,8,1,3,5,7]=>[1,3,4]=>11001000=>3 [8,7,5,1,6,4,2,3]=>[1,2,4,8,3,5,7,6]=>[4,3,1]=>10001001=>4 [3,2,5,1,8,7,6,4]=>[6,7,4,8,1,2,3,5]=>[2,2,4]=>10101000=>5 [6,5,7,3,1,8,4,2]=>[3,4,2,6,8,1,5,7]=>[2,3,3]=>10100100=>5 [4,6,3,7,1,8,5,2]=>[5,3,6,2,8,1,4,7]=>[1,2,2,3]=>11010100=>5 [4,6,3,7,5,1,8,2]=>[5,3,6,2,4,8,1,7]=>[1,2,3,2]=>11010010=>5 [4,2,6,1,7,5,3,8]=>[5,7,3,8,2,4,6,1]=>[2,2,3,1]=>10101001=>6 [2,5,7,4,1,6,3,8]=>[7,4,2,5,8,3,6,1]=>[1,1,3,2,1]=>11100101=>4 [2,5,7,4,1,6,8,3]=>[7,4,2,5,8,3,1,6]=>[1,1,3,1,2]=>11100110=>3 [5,4,7,3,6,1,8,2]=>[4,5,2,6,3,8,1,7]=>[2,2,2,2]=>10101010=>7 [5,4,7,8,3,1,6,2]=>[4,5,2,1,6,8,3,7]=>[2,1,3,2]=>10110010=>5 [4,3,7,5,1,8,6,2]=>[5,6,2,4,8,1,3,7]=>[2,3,3]=>10100100=>5 [6,4,3,8,5,1,7,2]=>[3,5,6,1,4,8,2,7]=>[3,3,2]=>10010010=>5 [5,8,4,3,6,1,7,2]=>[4,1,5,6,3,8,2,7]=>[1,3,2,2]=>11001010=>5 [5,4,8,3,6,1,7,2]=>[4,5,1,6,3,8,2,7]=>[2,2,2,2]=>10101010=>7 [5,4,3,6,7,1,8,2]=>[4,5,6,3,2,8,1,7]=>[3,1,2,2]=>10011010=>5 [2,5,4,6,1,7,3,8]=>[7,4,5,3,8,2,6,1]=>[1,2,2,2,1]=>11010101=>6 [3,2,5,8,1,6,7,4]=>[6,7,4,1,8,3,2,5]=>[2,1,2,1,2]=>10110110=>5 [2,5,4,6,8,1,7,3]=>[7,4,5,3,1,8,2,6]=>[1,2,1,2,2]=>11011010=>5 [5,2,8,4,1,6,7,3]=>[4,7,1,5,8,3,2,6]=>[2,3,1,2]=>10100110=>5 [4,6,2,1,8,5,7,3]=>[5,3,7,8,1,4,2,6]=>[1,3,2,2]=>11001010=>5 [2,4,1,7,5,8,6,3]=>[7,5,8,2,4,1,3,6]=>[1,2,2,3]=>11010100=>5 [2,4,1,7,5,3,8,6]=>[7,5,8,2,4,6,1,3]=>[1,2,3,2]=>11010010=>5 [2,6,4,1,8,5,3,7]=>[7,3,5,8,1,4,6,2]=>[1,3,3,1]=>11001001=>4 [5,4,8,2,1,6,3,7]=>[4,5,1,7,8,3,6,2]=>[2,3,2,1]=>10100101=>6 [2,5,8,4,1,6,3,7]=>[7,4,1,5,8,3,6,2]=>[1,1,3,2,1]=>11100101=>4 [3,2,5,6,1,8,4,7]=>[6,7,4,3,8,1,5,2]=>[2,1,2,2,1]=>10110101=>6 [4,8,3,2,6,1,5,7]=>[5,1,6,7,3,8,4,2]=>[1,3,2,1,1]=>11001011=>4 [3,5,2,8,1,6,4,7]=>[6,4,7,1,8,3,5,2]=>[1,2,2,2,1]=>11010101=>6 [3,2,1,6,8,5,4,7]=>[6,7,8,3,1,4,5,2]=>[3,1,3,1]=>10011001=>4 [3,2,7,1,5,4,8,6]=>[6,7,2,8,4,5,1,3]=>[2,2,2,2]=>10101010=>7 [3,2,7,1,5,8,6,4]=>[6,7,2,8,4,1,3,5]=>[2,2,1,3]=>10101100=>5 [3,8,2,5,1,6,7,4]=>[6,1,7,4,8,3,2,5]=>[1,2,2,1,2]=>11010110=>5 [4,8,3,2,6,7,1,5]=>[5,1,6,7,3,2,8,4]=>[1,3,1,2,1]=>11001101=>4 [4,3,8,2,6,7,1,5]=>[5,6,1,7,3,2,8,4]=>[2,2,1,2,1]=>10101101=>6 [4,3,2,6,7,8,1,5]=>[5,6,7,3,2,1,8,4]=>[3,1,1,2,1]=>10011101=>4 [4,3,2,6,7,1,5,8]=>[5,6,7,3,2,8,4,1]=>[3,1,2,1,1]=>10011011=>4 [4,3,7,2,6,8,1,5]=>[5,6,2,7,3,1,8,4]=>[2,2,1,2,1]=>10101101=>6 [4,3,7,8,2,6,1,5]=>[5,6,2,1,7,3,8,4]=>[2,1,2,2,1]=>10110101=>6 [2,5,7,4,8,1,6,3]=>[7,4,2,5,1,8,3,6]=>[1,1,2,2,2]=>11101010=>5 [3,2,5,7,8,1,6,4]=>[6,7,4,2,1,8,3,5]=>[2,1,1,2,2]=>10111010=>5 [3,2,5,7,1,6,8,4]=>[6,7,4,2,8,3,1,5]=>[2,1,2,1,2]=>10110110=>5 [3,2,5,7,1,6,4,8]=>[6,7,4,2,8,3,5,1]=>[2,1,2,2,1]=>10110101=>6 [6,3,2,7,1,5,4,8]=>[3,6,7,2,8,4,5,1]=>[3,2,2,1]=>10010101=>6 [6,3,2,7,1,5,8,4]=>[3,6,7,2,8,4,1,5]=>[3,2,1,2]=>10010110=>5 [6,3,2,7,8,1,5,4]=>[3,6,7,2,1,8,4,5]=>[3,1,2,2]=>10011010=>5 [4,2,6,1,7,8,5,3]=>[5,7,3,8,2,1,4,6]=>[2,2,1,3]=>10101100=>5 [6,5,2,1,7,8,4,3]=>[3,4,7,8,2,1,5,6]=>[4,1,3]=>10001100=>3 [2,1,7,5,3,8,6,4]=>[7,8,2,4,6,1,3,5]=>[2,3,3]=>10100100=>5 [6,2,1,8,5,3,7,4]=>[3,7,8,1,4,6,2,5]=>[3,3,2]=>10010010=>5 [6,3,2,7,1,4,8,5]=>[3,6,7,2,8,5,1,4]=>[3,2,1,2]=>10010110=>5 [6,3,2,1,4,7,8,5]=>[3,6,7,8,5,2,1,4]=>[4,1,1,2]=>10001110=>3 [6,3,2,1,4,7,5,8]=>[3,6,7,8,5,2,4,1]=>[4,1,2,1]=>10001101=>4 [3,5,2,1,7,4,6,8]=>[6,4,7,8,2,5,3,1]=>[1,3,2,1,1]=>11001011=>4 [3,5,2,1,7,8,4,6]=>[6,4,7,8,2,1,5,3]=>[1,3,1,2,1]=>11001101=>4 [5,8,4,2,1,7,3,6]=>[4,1,5,7,8,2,6,3]=>[1,4,2,1]=>11000101=>4 [4,6,2,1,8,3,7,5]=>[5,3,7,8,1,6,2,4]=>[1,3,2,2]=>11001010=>5 [2,4,1,7,3,8,6,5]=>[7,5,8,2,6,1,3,4]=>[1,2,2,3]=>11010100=>5 [3,2,7,1,4,8,6,5]=>[6,7,2,8,5,1,3,4]=>[2,2,1,3]=>10101100=>5 [3,5,8,2,1,7,4,6]=>[6,4,1,7,8,2,5,3]=>[1,1,3,2,1]=>11100101=>4 [4,8,3,7,2,1,5,6]=>[5,1,6,2,7,8,4,3]=>[1,2,3,1,1]=>11010011=>4 [4,3,7,2,8,1,5,6]=>[5,6,2,7,1,8,4,3]=>[2,2,2,1,1]=>10101011=>6 [4,8,3,2,7,1,5,6]=>[5,1,6,7,2,8,4,3]=>[1,3,2,1,1]=>11001011=>4 [3,5,2,8,1,7,4,6]=>[6,4,7,1,8,2,5,3]=>[1,2,2,2,1]=>11010101=>6 [6,3,2,8,1,4,7,5]=>[3,6,7,1,8,5,2,4]=>[3,2,1,2]=>10010110=>5 [3,2,1,4,7,5,8,6]=>[6,7,8,5,2,4,1,3]=>[3,1,2,2]=>10011010=>5 [5,3,2,1,8,4,6,7]=>[4,6,7,8,1,5,3,2]=>[4,2,1,1]=>10001011=>4 [4,8,3,2,1,5,6,7]=>[5,1,6,7,8,4,3,2]=>[1,4,1,1,1]=>11000111=>2 [4,3,8,2,1,5,6,7]=>[5,6,1,7,8,4,3,2]=>[2,3,1,1,1]=>10100111=>4 [1,9,8,7,6,5,4,3,2]=>[9,1,2,3,4,5,6,7,8]=>[1,8]=>110000000=>1 [8,7,6,4,5,3,2,1,9]=>[2,3,4,6,5,7,8,9,1]=>[4,4,1]=>100010001=>4 [1,9,8,7,5,6,4,3,2]=>[9,1,2,3,5,4,6,7,8]=>[1,4,4]=>110001000=>3 [8,7,5,4,6,3,2,1,9]=>[2,3,5,6,4,7,8,9,1]=>[4,4,1]=>100010001=>4 [8,7,4,6,5,3,2,1,9]=>[2,3,6,4,5,7,8,9,1]=>[3,5,1]=>100100001=>4 [1,9,8,6,5,7,4,3,2]=>[9,1,2,4,5,3,6,7,8]=>[1,4,4]=>110001000=>3 [1,9,8,5,7,6,4,3,2]=>[9,1,2,5,3,4,6,7,8]=>[1,3,5]=>110010000=>3 [6,2,3,1,5,4,8,7]=>[3,7,6,8,4,5,1,2]=>[2,2,2,2]=>10101010=>7 [8,4,5,2,3,1,7,6]=>[1,5,4,7,6,8,2,3]=>[2,2,2,2]=>10101010=>7 [8,6,7,2,5,3,4,1]=>[1,3,2,7,4,6,5,8]=>[2,2,2,2]=>10101010=>7 [8,2,5,3,4,1,7,6]=>[1,7,4,6,5,8,2,3]=>[2,2,2,2]=>10101010=>7 [6,2,5,3,4,1,8,7]=>[3,7,4,6,5,8,1,2]=>[2,2,2,2]=>10101010=>7 [6,1,5,2,4,3,8,7]=>[3,8,4,7,5,6,1,2]=>[2,2,2,2]=>10101010=>7 [6,4,5,1,3,2,8,7]=>[3,5,4,8,6,7,1,2]=>[2,2,2,2]=>10101010=>7 [6,1,5,3,4,2,8,7]=>[3,8,4,6,5,7,1,2]=>[2,2,2,2]=>10101010=>7 [6,3,5,1,4,2,8,7]=>[3,6,4,8,5,7,1,2]=>[2,2,2,2]=>10101010=>7 [8,3,5,2,4,1,7,6]=>[1,6,4,7,5,8,2,3]=>[2,2,2,2]=>10101010=>7 [8,3,7,5,6,2,4,1]=>[1,6,2,4,3,7,5,8]=>[2,2,2,2]=>10101010=>7 [8,3,7,2,4,1,6,5]=>[1,6,2,7,5,8,3,4]=>[2,2,2,2]=>10101010=>7 [8,3,5,1,4,2,7,6]=>[1,6,4,8,5,7,2,3]=>[2,2,2,2]=>10101010=>7 [8,1,5,3,4,2,7,6]=>[1,8,4,6,5,7,2,3]=>[2,2,2,2]=>10101010=>7 [8,4,5,1,3,2,7,6]=>[1,5,4,8,6,7,2,3]=>[2,2,2,2]=>10101010=>7 [2,1,8,4,5,3,7,6]=>[7,8,1,5,4,6,2,3]=>[2,2,2,2]=>10101010=>7 [8,6,7,4,5,1,3,2]=>[1,3,2,5,4,8,6,7]=>[2,2,2,2]=>10101010=>7 [8,6,7,1,5,3,4,2]=>[1,3,2,8,4,6,5,7]=>[2,2,2,2]=>10101010=>7 [8,6,7,3,5,1,4,2]=>[1,3,2,6,4,8,5,7]=>[2,2,2,2]=>10101010=>7 [8,3,7,5,6,1,4,2]=>[1,6,2,4,3,8,5,7]=>[2,2,2,2]=>10101010=>7 [8,5,7,3,6,1,4,2]=>[1,4,2,6,3,8,5,7]=>[2,2,2,2]=>10101010=>7 [8,3,7,4,6,2,5,1]=>[1,6,2,5,3,7,4,8]=>[2,2,2,2]=>10101010=>7 [8,3,7,4,6,1,5,2]=>[1,6,2,5,3,8,4,7]=>[2,2,2,2]=>10101010=>7 [8,3,7,1,6,4,5,2]=>[1,6,2,8,3,5,4,7]=>[2,2,2,2]=>10101010=>7 [8,1,7,3,6,4,5,2]=>[1,8,2,6,3,5,4,7]=>[2,2,2,2]=>10101010=>7 [8,1,7,5,6,3,4,2]=>[1,8,2,4,3,6,5,7]=>[2,2,2,2]=>10101010=>7 [8,4,7,5,6,1,3,2]=>[1,5,2,4,3,8,6,7]=>[2,2,2,2]=>10101010=>7 [2,1,8,4,7,5,6,3]=>[7,8,1,5,2,4,3,6]=>[2,2,2,2]=>10101010=>7 [8,1,7,3,4,2,6,5]=>[1,8,2,6,5,7,3,4]=>[2,2,2,2]=>10101010=>7 [8,1,7,3,6,2,5,4]=>[1,8,2,6,3,7,4,5]=>[2,2,2,2]=>10101010=>7 [8,3,7,1,6,2,5,4]=>[1,6,2,8,3,7,4,5]=>[2,2,2,2]=>10101010=>7 [8,3,7,2,6,4,5,1]=>[1,6,2,7,3,5,4,8]=>[2,2,2,2]=>10101010=>7 [8,2,7,3,6,4,5,1]=>[1,7,2,6,3,5,4,8]=>[2,2,2,2]=>10101010=>7 [8,2,7,3,6,1,5,4]=>[1,7,2,6,3,8,4,5]=>[2,2,2,2]=>10101010=>7 [8,2,7,1,6,3,5,4]=>[1,7,2,8,3,6,4,5]=>[2,2,2,2]=>10101010=>7 [8,1,7,2,4,3,6,5]=>[1,8,2,7,5,6,3,4]=>[2,2,2,2]=>10101010=>7 [8,1,3,2,7,4,6,5]=>[1,8,6,7,2,5,3,4]=>[2,2,2,2]=>10101010=>7 [2,1,8,3,7,4,6,5]=>[7,8,1,6,2,5,3,4]=>[2,2,2,2]=>10101010=>7 [8,1,5,2,4,3,7,6]=>[1,8,4,7,5,6,2,3]=>[2,2,2,2]=>10101010=>7 [8,2,7,1,4,3,6,5]=>[1,7,2,8,5,6,3,4]=>[2,2,2,2]=>10101010=>7 [8,2,7,3,4,1,6,5]=>[1,7,2,6,5,8,3,4]=>[2,2,2,2]=>10101010=>7 [8,2,7,5,6,3,4,1]=>[1,7,2,4,3,6,5,8]=>[2,2,2,2]=>10101010=>7 [8,4,7,5,6,2,3,1]=>[1,5,2,4,3,7,6,8]=>[2,2,2,2]=>10101010=>7 [8,4,7,2,3,1,6,5]=>[1,5,2,7,6,8,3,4]=>[2,2,2,2]=>10101010=>7 [8,2,3,1,7,4,6,5]=>[1,7,6,8,2,5,3,4]=>[2,2,2,2]=>10101010=>7 [8,2,3,1,5,4,7,6]=>[1,7,6,8,4,5,2,3]=>[2,2,2,2]=>10101010=>7 [4,2,3,1,8,5,7,6]=>[5,7,6,8,1,4,2,3]=>[2,2,2,2]=>10101010=>7 [4,1,3,2,8,6,7,5]=>[5,8,6,7,1,3,2,4]=>[2,2,2,2]=>10101010=>7 [8,6,7,2,3,1,5,4]=>[1,3,2,7,6,8,4,5]=>[2,2,2,2]=>10101010=>7 [8,2,3,1,7,5,6,4]=>[1,7,6,8,2,4,3,5]=>[2,2,2,2]=>10101010=>7 [8,5,7,2,6,3,4,1]=>[1,4,2,7,3,6,5,8]=>[2,2,2,2]=>10101010=>7 [8,5,7,2,6,1,4,3]=>[1,4,2,7,3,8,5,6]=>[2,2,2,2]=>10101010=>7 [8,2,7,5,6,1,4,3]=>[1,7,2,4,3,8,5,6]=>[2,2,2,2]=>10101010=>7 [8,6,7,2,5,1,4,3]=>[1,3,2,7,4,8,5,6]=>[2,2,2,2]=>10101010=>7 [8,6,7,1,5,2,4,3]=>[1,3,2,8,4,7,5,6]=>[2,2,2,2]=>10101010=>7 [8,6,7,1,3,2,5,4]=>[1,3,2,8,6,7,4,5]=>[2,2,2,2]=>10101010=>7 [2,1,8,6,7,3,5,4]=>[7,8,1,3,2,6,4,5]=>[2,2,2,2]=>10101010=>7 [2,1,8,3,7,5,6,4]=>[7,8,1,6,2,4,3,5]=>[2,2,2,2]=>10101010=>7 [8,1,3,2,7,5,6,4]=>[1,8,6,7,2,4,3,5]=>[2,2,2,2]=>10101010=>7 [8,1,7,5,6,2,4,3]=>[1,8,2,4,3,7,5,6]=>[2,2,2,2]=>10101010=>7 [8,1,7,2,6,4,5,3]=>[1,8,2,7,3,5,4,6]=>[2,2,2,2]=>10101010=>7 [8,2,7,1,6,4,5,3]=>[1,7,2,8,3,5,4,6]=>[2,2,2,2]=>10101010=>7 [8,2,7,4,6,1,5,3]=>[1,7,2,5,3,8,4,6]=>[2,2,2,2]=>10101010=>7 [8,2,7,4,6,3,5,1]=>[1,7,2,5,3,6,4,8]=>[2,2,2,2]=>10101010=>7 [8,4,7,2,6,3,5,1]=>[1,5,2,7,3,6,4,8]=>[2,2,2,2]=>10101010=>7 [8,4,7,2,6,1,5,3]=>[1,5,2,7,3,8,4,6]=>[2,2,2,2]=>10101010=>7 [8,4,7,1,6,2,5,3]=>[1,5,2,8,3,7,4,6]=>[2,2,2,2]=>10101010=>7 [8,1,7,4,6,2,5,3]=>[1,8,2,5,3,7,4,6]=>[2,2,2,2]=>10101010=>7 [8,5,7,1,6,2,4,3]=>[1,4,2,8,3,7,5,6]=>[2,2,2,2]=>10101010=>7 [2,1,8,5,7,3,6,4]=>[7,8,1,4,2,6,3,5]=>[2,2,2,2]=>10101010=>7 [8,5,7,4,6,1,3,2]=>[1,4,2,5,3,8,6,7]=>[2,2,2,2]=>10101010=>7 [8,5,7,1,6,3,4,2]=>[1,4,2,8,3,6,5,7]=>[2,2,2,2]=>10101010=>7 [8,1,7,4,6,3,5,2]=>[1,8,2,5,3,6,4,7]=>[2,2,2,2]=>10101010=>7 [8,4,7,1,6,3,5,2]=>[1,5,2,8,3,6,4,7]=>[2,2,2,2]=>10101010=>7 [8,4,7,3,6,1,5,2]=>[1,5,2,6,3,8,4,7]=>[2,2,2,2]=>10101010=>7 [2,4,8,3,6,1,7,5]=>[7,5,1,6,3,8,2,4]=>[1,1,2,2,2]=>11101010=>5 [6,5,8,1,3,2,7,4]=>[3,4,1,8,6,7,2,5]=>[2,2,2,2]=>10101010=>7 [4,5,8,6,3,2,7,1]=>[5,4,1,3,6,7,2,8]=>[1,1,4,2]=>11100010=>3 [6,5,8,7,3,1,2,4]=>[3,4,1,2,6,8,7,5]=>[2,4,1,1]=>10100011=>4 [1,5,8,7,3,6,2,4]=>[8,4,1,2,6,3,7,5]=>[1,1,3,2,1]=>11100101=>4 [1,7,2,8,4,6,5,3]=>[8,2,7,1,5,3,4,6]=>[1,2,2,3]=>11010100=>5 [6,7,2,8,4,1,5,3]=>[3,2,7,1,5,8,4,6]=>[1,2,3,2]=>11010010=>5 [3,6,2,8,4,5,7,1]=>[6,3,7,1,5,4,2,8]=>[1,2,2,1,2]=>11010110=>5 [2,6,1,8,4,5,7,3]=>[7,3,8,1,5,4,2,6]=>[1,2,2,1,2]=>11010110=>5 [2,8,4,6,1,5,7,3]=>[7,1,5,3,8,4,2,6]=>[1,2,2,1,2]=>11010110=>5 [6,3,1,8,4,5,7,2]=>[3,6,8,1,5,4,2,7]=>[3,2,1,2]=>10010110=>5 [3,1,6,8,4,5,7,2]=>[6,8,3,1,5,4,2,7]=>[2,1,2,1,2]=>10110110=>5 [2,3,6,8,4,5,7,1]=>[7,6,3,1,5,4,2,8]=>[1,1,1,2,1,2]=>11110110=>3 [6,3,7,8,4,1,5,2]=>[3,6,2,1,5,8,4,7]=>[2,1,3,2]=>10110010=>5 [1,3,7,8,4,6,5,2]=>[8,6,2,1,5,3,4,7]=>[1,1,1,2,3]=>11110100=>3 [1,5,7,8,2,4,6,3]=>[8,4,2,1,7,5,3,6]=>[1,1,1,2,1,2]=>11110110=>3 [5,1,7,8,2,4,6,3]=>[4,8,2,1,7,5,3,6]=>[2,1,2,1,2]=>10110110=>5 [3,6,7,8,4,2,5,1]=>[6,3,2,1,5,7,4,8]=>[1,1,1,3,2]=>11110010=>3 [7,6,1,8,4,2,5,3]=>[2,3,8,1,5,7,4,6]=>[3,3,2]=>10010010=>5 [5,6,8,7,3,2,1,4]=>[4,3,1,2,6,7,8,5]=>[1,1,5,1]=>11100001=>2 [2,8,3,7,1,6,5,4]=>[7,1,6,2,8,3,4,5]=>[1,2,2,3]=>11010100=>5 [5,2,8,7,3,6,1,4]=>[4,7,1,2,6,3,8,5]=>[2,3,2,1]=>10100101=>6 [7,2,1,8,4,6,5,3]=>[2,7,8,1,5,3,4,6]=>[3,2,3]=>10010100=>5 [3,2,7,8,4,6,5,1]=>[6,7,2,1,5,3,4,8]=>[2,1,2,3]=>10110100=>5 [5,2,7,8,1,4,6,3]=>[4,7,2,1,8,5,3,6]=>[2,1,2,1,2]=>10110110=>5 [1,2,7,8,5,4,6,3]=>[8,7,2,1,4,5,3,6]=>[1,1,1,3,2]=>11110010=>3 [4,2,1,3,8,5,6,7]=>[5,7,8,6,1,4,3,2]=>[3,1,2,1,1]=>10011011=>4 [7,2,5,8,3,4,6,1]=>[2,7,4,1,6,5,3,8]=>[2,1,2,1,2]=>10110110=>5 [6,2,8,5,4,3,1,7]=>[3,7,1,4,5,6,8,2]=>[2,5,1]=>10100001=>4 [2,8,3,5,4,1,6,7]=>[7,1,6,4,5,8,3,2]=>[1,2,3,1,1]=>11010011=>4 [2,8,4,5,3,1,6,7]=>[7,1,5,4,6,8,3,2]=>[1,2,3,1,1]=>11010011=>4 [6,4,8,5,2,3,1,7]=>[3,5,1,4,7,6,8,2]=>[2,3,2,1]=>10100101=>6 [7,3,5,8,2,4,6,1]=>[2,6,4,1,7,5,3,8]=>[2,1,2,1,2]=>10110110=>5 [4,3,1,2,8,5,6,7]=>[5,6,8,7,1,4,3,2]=>[3,1,2,1,1]=>10011011=>4 [3,4,2,1,8,5,6,7]=>[6,5,7,8,1,4,3,2]=>[1,3,2,1,1]=>11001011=>4 [2,7,6,8,4,3,5,1]=>[7,2,3,1,5,6,4,8]=>[1,2,3,2]=>11010010=>5 [5,7,1,8,3,4,6,2]=>[4,2,8,1,6,5,3,7]=>[1,2,2,1,2]=>11010110=>5 [3,7,5,8,1,4,6,2]=>[6,2,4,1,8,5,3,7]=>[1,2,2,1,2]=>11010110=>5 [1,7,5,8,3,4,6,2]=>[8,2,4,1,6,5,3,7]=>[1,2,2,1,2]=>11010110=>5 [1,6,8,5,4,3,2,7]=>[8,3,1,4,5,6,7,2]=>[1,1,5,1]=>11100001=>2 [4,6,8,5,1,3,2,7]=>[5,3,1,4,8,6,7,2]=>[1,1,3,2,1]=>11100101=>4 [5,6,8,1,4,3,2,7]=>[4,3,1,8,5,6,7,2]=>[1,1,2,3,1]=>11101001=>4 [7,5,8,6,3,4,2,1]=>[2,4,1,3,6,5,7,8]=>[2,3,3]=>10100100=>5 [2,4,8,3,6,5,1,7]=>[7,5,1,6,3,4,8,2]=>[1,1,2,3,1]=>11101001=>4 [2,8,4,1,5,6,3,7]=>[7,1,5,8,4,3,6,2]=>[1,3,1,2,1]=>11001101=>4 [4,1,8,3,5,6,2,7]=>[5,8,1,6,4,3,7,2]=>[2,2,1,2,1]=>10101101=>6 [5,6,8,4,1,3,2,7]=>[4,3,1,5,8,6,7,2]=>[1,1,3,2,1]=>11100101=>4 [4,6,8,1,5,3,2,7]=>[5,3,1,8,4,6,7,2]=>[1,1,2,3,1]=>11101001=>4 [1,6,8,4,5,3,2,7]=>[8,3,1,5,4,6,7,2]=>[1,1,2,3,1]=>11101001=>4 [1,7,3,8,5,4,6,2]=>[8,2,6,1,4,5,3,7]=>[1,2,3,2]=>11010010=>5 [3,7,1,8,5,4,6,2]=>[6,2,8,1,4,5,3,7]=>[1,2,3,2]=>11010010=>5 [2,7,3,8,4,6,5,1]=>[7,2,6,1,5,3,4,8]=>[1,2,2,3]=>11010100=>5 [7,1,3,8,4,6,5,2]=>[2,8,6,1,5,3,4,7]=>[2,1,2,3]=>10110100=>5 [5,7,8,4,3,6,1,2]=>[4,2,1,5,6,3,8,7]=>[1,1,3,2,1]=>11100101=>4 [2,8,7,4,1,6,5,3]=>[7,1,2,5,8,3,4,6]=>[1,4,3]=>11000100=>3 [2,8,5,4,3,1,6,7]=>[7,1,4,5,6,8,3,2]=>[1,5,1,1]=>11000011=>2 [6,5,8,4,2,3,1,7]=>[3,4,1,5,7,6,8,2]=>[2,3,2,1]=>10100101=>6 [4,1,3,2,8,5,6,7]=>[5,8,6,7,1,4,3,2]=>[2,2,2,1,1]=>10101011=>6 [1,4,3,2,8,5,6,7]=>[8,5,6,7,1,4,3,2]=>[1,3,2,1,1]=>11001011=>4 [7,3,2,8,5,4,6,1]=>[2,6,7,1,4,5,3,8]=>[3,3,2]=>10010010=>5 [6,4,8,2,5,3,1,7]=>[3,5,1,7,4,6,8,2]=>[2,2,3,1]=>10101001=>6 [2,8,4,3,5,1,6,7]=>[7,1,5,6,4,8,3,2]=>[1,3,2,1,1]=>11001011=>4 [2,8,3,4,5,1,6,7]=>[7,1,6,5,4,8,3,2]=>[1,2,1,2,1,1]=>11011011=>4 [6,2,8,4,5,3,1,7]=>[3,7,1,5,4,6,8,2]=>[2,2,3,1]=>10101001=>6 [7,2,3,8,5,4,6,1]=>[2,7,6,1,4,5,3,8]=>[2,1,3,2]=>10110010=>5 [4,2,3,1,8,5,6,7]=>[5,7,6,8,1,4,3,2]=>[2,2,2,1,1]=>10101011=>6 [3,2,1,4,8,5,6,7]=>[6,7,8,5,1,4,3,2]=>[3,1,2,1,1]=>10011011=>4 [5,1,3,2,4,8,6,7]=>[4,8,6,7,5,1,3,2]=>[2,2,1,2,1]=>10101101=>6 [2,8,1,5,3,4,7,6]=>[7,1,8,4,6,5,2,3]=>[1,2,2,1,2]=>11010110=>5 [1,2,8,4,5,3,7,6]=>[8,7,1,5,4,6,2,3]=>[1,1,2,2,2]=>11101010=>5 [1,4,2,8,5,3,6,7]=>[8,5,7,1,4,6,3,2]=>[1,2,3,1,1]=>11010011=>4 [1,8,4,2,5,3,6,7]=>[8,1,5,7,4,6,3,2]=>[1,3,2,1,1]=>11001011=>4 [8,1,5,3,2,4,6,7]=>[1,8,4,6,7,5,3,2]=>[2,3,1,1,1]=>10100111=>4 [3,8,1,5,2,4,6,7]=>[6,1,8,4,7,5,3,2]=>[1,2,2,1,1,1]=>11010111=>4 [3,5,1,4,8,2,6,7]=>[6,4,8,5,1,7,3,2]=>[1,2,1,2,1,1]=>11011011=>4 [1,5,2,8,4,3,6,7]=>[8,4,7,1,5,6,3,2]=>[1,2,3,1,1]=>11010011=>4 [1,2,8,5,4,3,6,7]=>[8,7,1,4,5,6,3,2]=>[1,1,4,1,1]=>11100011=>2 [1,2,5,4,3,8,6,7]=>[8,7,4,5,6,1,3,2]=>[1,1,3,2,1]=>11100101=>4 [1,2,4,8,5,3,7,6]=>[8,7,5,1,4,6,2,3]=>[1,1,1,3,2]=>11110010=>3 [1,2,7,4,8,5,3,6]=>[8,7,2,5,1,4,6,3]=>[1,1,2,3,1]=>11101001=>4 [1,5,2,7,8,4,3,6]=>[8,4,7,2,1,5,6,3]=>[1,2,1,3,1]=>11011001=>4 [5,1,2,7,4,8,3,6]=>[4,8,7,2,5,1,6,3]=>[2,1,2,2,1]=>10110101=>6 [8,3,5,1,4,7,2,6]=>[1,6,4,8,5,2,7,3]=>[2,2,1,2,1]=>10101101=>6 [2,8,1,5,4,7,3,6]=>[7,1,8,4,5,2,6,3]=>[1,2,2,2,1]=>11010101=>6 [1,2,8,5,7,4,3,6]=>[8,7,1,4,2,5,6,3]=>[1,1,2,3,1]=>11101001=>4 [1,2,4,8,7,5,3,6]=>[8,7,5,1,2,4,6,3]=>[1,1,1,4,1]=>11110001=>2 [2,8,1,4,3,7,6,5]=>[7,1,8,5,6,2,3,4]=>[1,2,2,3]=>11010100=>5 [6,1,2,8,7,4,3,5]=>[3,8,7,1,2,5,6,4]=>[2,1,4,1]=>10110001=>4 [6,4,1,2,8,7,3,5]=>[3,5,8,7,1,2,6,4]=>[3,1,3,1]=>10011001=>4 [3,6,4,8,1,7,2,5]=>[6,3,5,1,8,2,7,4]=>[1,2,2,2,1]=>11010101=>6 [7,6,1,4,2,8,3,5]=>[2,3,8,5,7,1,6,4]=>[3,2,2,1]=>10010101=>6 [7,1,6,2,8,4,3,5]=>[2,8,3,7,1,5,6,4]=>[2,2,3,1]=>10101001=>6 [1,6,7,2,8,4,3,5]=>[8,3,2,7,1,5,6,4]=>[1,1,2,3,1]=>11101001=>4 [6,7,1,4,2,8,3,5]=>[3,2,8,5,7,1,6,4]=>[1,2,2,2,1]=>11010101=>6 [6,3,7,1,4,8,2,5]=>[3,6,2,8,5,1,7,4]=>[2,2,1,2,1]=>10101101=>6 [3,7,8,1,5,2,4,6]=>[6,2,1,8,4,7,5,3]=>[1,1,2,2,1,1]=>11101011=>4 [7,1,2,8,5,3,4,6]=>[2,8,7,1,4,6,5,3]=>[2,1,3,1,1]=>10110011=>4 [1,7,2,8,4,5,3,6]=>[8,2,7,1,5,4,6,3]=>[1,2,2,2,1]=>11010101=>6 [1,4,2,7,8,5,3,6]=>[8,5,7,2,1,4,6,3]=>[1,2,1,3,1]=>11011001=>4 [6,1,2,8,4,3,7,5]=>[3,8,7,1,5,6,2,4]=>[2,1,3,2]=>10110010=>5 [6,4,1,2,8,3,7,5]=>[3,5,8,7,1,6,2,4]=>[3,1,2,2]=>10011010=>5 [7,6,1,3,2,4,8,5]=>[2,3,8,6,7,5,1,4]=>[3,2,1,2]=>10010110=>5 [6,7,1,3,2,4,8,5]=>[3,2,8,6,7,5,1,4]=>[1,2,2,1,2]=>11010110=>5 [1,2,7,3,5,8,4,6]=>[8,7,2,6,4,1,5,3]=>[1,1,2,1,2,1]=>11101101=>4 [1,2,7,5,8,3,4,6]=>[8,7,2,4,1,6,5,3]=>[1,1,2,2,1,1]=>11101011=>4 [5,8,1,3,7,2,4,6]=>[4,1,8,6,2,7,5,3]=>[1,2,1,2,1,1]=>11011011=>4 [1,2,5,8,7,3,4,6]=>[8,7,4,1,2,6,5,3]=>[1,1,1,3,1,1]=>11110011=>2 [1,2,5,8,3,7,4,6]=>[8,7,4,1,6,2,5,3]=>[1,1,1,2,2,1]=>11110101=>4 [2,8,1,7,3,5,4,6]=>[7,1,8,2,6,4,5,3]=>[1,2,2,2,1]=>11010101=>6 [8,6,1,3,2,4,7,5]=>[1,3,8,6,7,5,2,4]=>[3,2,1,2]=>10010110=>5 [4,2,8,1,7,3,6,5]=>[5,7,1,8,2,6,3,4]=>[2,2,2,2]=>10101010=>7 [2,8,1,7,4,3,6,5]=>[7,1,8,2,5,6,3,4]=>[1,2,3,2]=>11010010=>5 [7,1,2,8,4,3,6,5]=>[2,8,7,1,5,6,3,4]=>[2,1,3,2]=>10110010=>5 [1,2,8,4,7,5,3,6]=>[8,7,1,5,2,4,6,3]=>[1,1,2,3,1]=>11101001=>4 [1,2,8,7,4,5,3,6]=>[8,7,1,2,5,4,6,3]=>[1,1,3,2,1]=>11100101=>4 [2,8,1,7,5,3,4,6]=>[7,1,8,2,4,6,5,3]=>[1,2,3,1,1]=>11010011=>4 [8,3,7,1,5,2,4,6]=>[1,6,2,8,4,7,5,3]=>[2,2,2,1,1]=>10101011=>6 [3,8,6,1,4,7,2,5]=>[6,1,3,8,5,2,7,4]=>[1,3,1,2,1]=>11001101=>4 [8,6,1,4,2,7,3,5]=>[1,3,8,5,7,2,6,4]=>[3,2,2,1]=>10010101=>6 [8,1,6,2,7,4,3,5]=>[1,8,3,7,2,5,6,4]=>[2,2,3,1]=>10101001=>6 [7,1,2,8,6,4,3,5]=>[2,8,7,1,3,5,6,4]=>[2,1,4,1]=>10110001=>4 [7,4,1,2,8,6,3,5]=>[2,5,8,7,1,3,6,4]=>[3,1,3,1]=>10011001=>4 [3,7,4,8,1,6,2,5]=>[6,2,5,1,8,3,7,4]=>[1,2,2,2,1]=>11010101=>6 [3,4,8,7,1,6,2,5]=>[6,5,1,2,8,3,7,4]=>[1,1,3,2,1]=>11100101=>4 [4,2,8,1,7,6,3,5]=>[5,7,1,8,2,3,6,4]=>[2,2,3,1]=>10101001=>6 [2,8,1,7,6,4,3,5]=>[7,1,8,2,3,5,6,4]=>[1,2,4,1]=>11010001=>4 [7,8,3,4,1,5,2,6]=>[2,1,6,5,8,4,7,3]=>[1,2,2,2,1]=>11010101=>6 [7,8,3,4,1,6,2,5]=>[2,1,6,5,8,3,7,4]=>[1,2,2,2,1]=>11010101=>6 [6,8,3,4,1,7,2,5]=>[3,1,6,5,8,2,7,4]=>[1,2,2,2,1]=>11010101=>6 [6,7,3,4,1,8,2,5]=>[3,2,6,5,8,1,7,4]=>[1,2,2,2,1]=>11010101=>6 [5,7,3,4,1,8,2,6]=>[4,2,6,5,8,1,7,3]=>[1,2,2,2,1]=>11010101=>6 [5,8,3,4,1,7,2,6]=>[4,1,6,5,8,2,7,3]=>[1,2,2,2,1]=>11010101=>6 [5,8,3,4,1,6,2,7]=>[4,1,6,5,8,3,7,2]=>[1,2,2,2,1]=>11010101=>6 [6,8,3,4,1,5,2,7]=>[3,1,6,5,8,4,7,2]=>[1,2,2,2,1]=>11010101=>6 [6,7,3,4,1,5,2,8]=>[3,2,6,5,8,4,7,1]=>[1,2,2,2,1]=>11010101=>6 [5,7,3,4,1,6,2,8]=>[4,2,6,5,8,3,7,1]=>[1,2,2,2,1]=>11010101=>6 [5,6,2,8,3,4,1,7]=>[4,3,7,1,6,5,8,2]=>[1,2,2,2,1]=>11010101=>6 [5,6,2,7,3,4,1,8]=>[4,3,7,2,6,5,8,1]=>[1,2,2,2,1]=>11010101=>6 [4,6,2,8,3,5,1,7]=>[5,3,7,1,6,4,8,2]=>[1,2,2,2,1]=>11010101=>6 [4,7,3,5,1,6,2,8]=>[5,2,6,4,8,3,7,1]=>[1,2,2,2,1]=>11010101=>6 [4,8,3,5,1,6,2,7]=>[5,1,6,4,8,3,7,2]=>[1,2,2,2,1]=>11010101=>6 [4,8,3,5,1,7,2,6]=>[5,1,6,4,8,2,7,3]=>[1,2,2,2,1]=>11010101=>6 [5,6,2,3,1,7,4,8]=>[4,3,7,6,8,2,5,1]=>[1,2,2,2,1]=>11010101=>6 [5,6,2,4,1,7,3,8]=>[4,3,7,5,8,2,6,1]=>[1,2,2,2,1]=>11010101=>6 [4,6,2,5,1,7,3,8]=>[5,3,7,4,8,2,6,1]=>[1,2,2,2,1]=>11010101=>6 [4,6,2,5,1,8,3,7]=>[5,3,7,4,8,1,6,2]=>[1,2,2,2,1]=>11010101=>6 [4,5,1,8,3,7,2,6]=>[5,4,8,1,6,2,7,3]=>[1,2,2,2,1]=>11010101=>6 [4,5,1,7,3,8,2,6]=>[5,4,8,2,6,1,7,3]=>[1,2,2,2,1]=>11010101=>6 [4,6,2,7,3,8,1,5]=>[5,3,7,2,6,1,8,4]=>[1,2,2,2,1]=>11010101=>6 [5,6,2,7,3,8,1,4]=>[4,3,7,2,6,1,8,5]=>[1,2,2,2,1]=>11010101=>6 [5,6,2,7,4,8,1,3]=>[4,3,7,2,5,1,8,6]=>[1,2,2,2,1]=>11010101=>6 [5,6,3,8,4,7,1,2]=>[4,3,6,1,5,2,8,7]=>[1,2,2,2,1]=>11010101=>6 [5,6,2,8,4,7,1,3]=>[4,3,7,1,5,2,8,6]=>[1,2,2,2,1]=>11010101=>6 [5,6,2,8,3,7,1,4]=>[4,3,7,1,6,2,8,5]=>[1,2,2,2,1]=>11010101=>6 [4,6,2,8,3,7,1,5]=>[5,3,7,1,6,2,8,4]=>[1,2,2,2,1]=>11010101=>6 [4,5,1,7,3,6,2,8]=>[5,4,8,2,6,3,7,1]=>[1,2,2,2,1]=>11010101=>6 [4,5,1,8,3,6,2,7]=>[5,4,8,1,6,3,7,2]=>[1,2,2,2,1]=>11010101=>6 [9,2,1,3,4,5,6,7,8]=>[1,8,9,7,6,5,4,3,2]=>[3,1,1,1,1,1,1]=>100111111=>2 [9,2,3,1,4,5,6,7,8]=>[1,8,7,9,6,5,4,3,2]=>[2,2,1,1,1,1,1]=>101011111=>4 [4,2,3,5,6,7,8,9,1]=>[6,8,7,5,4,3,2,1,9]=>[2,1,1,1,1,1,2]=>101111110=>3 [3,4,2,5,6,7,8,9,1]=>[7,6,8,5,4,3,2,1,9]=>[1,2,1,1,1,1,2]=>110111110=>3 [6,5,3,2,1,4,8,7]=>[3,4,6,7,8,5,1,2]=>[5,1,2]=>10000110=>3 [4,6,3,5,2,1,8,7]=>[5,3,6,4,7,8,1,2]=>[1,2,3,2]=>11010010=>5 [8,7,3,5,2,4,1,6]=>[1,2,6,4,7,5,8,3]=>[3,2,2,1]=>10010101=>6 [6,8,2,4,5,7,3,1]=>[3,1,7,5,4,2,6,8]=>[1,2,1,1,3]=>11011100=>3 [8,7,2,4,5,3,1,6]=>[1,2,7,5,4,6,8,3]=>[3,1,3,1]=>10011001=>4 [3,6,1,4,5,2,8,7]=>[6,3,8,5,4,7,1,2]=>[1,2,1,2,2]=>11011010=>5 [8,3,7,4,5,2,1,6]=>[1,6,2,5,4,7,8,3]=>[2,2,3,1]=>10101001=>6 [6,3,8,4,5,7,2,1]=>[3,6,1,5,4,2,7,8]=>[2,2,1,3]=>10101100=>5 [5,8,7,4,3,6,2,1]=>[4,1,2,5,6,3,7,8]=>[1,4,3]=>11000100=>3 [2,8,7,4,3,6,1,5]=>[7,1,2,5,6,3,8,4]=>[1,4,2,1]=>11000101=>4 [8,1,7,4,3,6,2,5]=>[1,8,2,5,6,3,7,4]=>[2,3,2,1]=>10100101=>6 [8,7,3,5,1,4,2,6]=>[1,2,6,4,8,5,7,3]=>[3,2,2,1]=>10010101=>6 [2,1,6,8,5,7,4,3]=>[7,8,3,1,4,2,5,6]=>[2,1,2,3]=>10110100=>5 [6,8,3,5,1,7,4,2]=>[3,1,6,4,8,2,5,7]=>[1,2,2,3]=>11010100=>5 [5,1,8,4,7,6,3,2]=>[4,8,1,5,2,3,6,7]=>[2,2,4]=>10101000=>5 [2,5,8,4,7,6,3,1]=>[7,4,1,5,2,3,6,8]=>[1,1,2,4]=>11101000=>3 [4,3,8,1,5,6,7,2]=>[5,6,1,8,4,3,2,7]=>[2,2,1,1,2]=>10101110=>5 [4,8,1,3,5,6,7,2]=>[5,1,8,6,4,3,2,7]=>[1,2,1,1,1,2]=>11011110=>3 [5,8,7,4,1,6,3,2]=>[4,1,2,5,8,3,6,7]=>[1,4,3]=>11000100=>3 [5,8,3,6,1,4,7,2]=>[4,1,6,3,8,5,2,7]=>[1,2,2,1,2]=>11010110=>5 [4,8,3,6,1,2,7,5]=>[5,1,6,3,8,7,2,4]=>[1,2,2,1,2]=>11010110=>5 [3,8,7,4,1,6,2,5]=>[6,1,2,5,8,3,7,4]=>[1,4,2,1]=>11000101=>4 [3,8,1,2,5,6,7,4]=>[6,1,8,7,4,3,2,5]=>[1,2,1,1,1,2]=>11011110=>3 [8,7,1,4,2,6,3,5]=>[1,2,8,5,7,3,6,4]=>[3,2,2,1]=>10010101=>6 [8,6,3,1,2,4,7,5]=>[1,3,6,8,7,5,2,4]=>[4,1,1,2]=>10001110=>3 [8,1,7,4,5,2,3,6]=>[1,8,2,5,4,7,6,3]=>[2,2,2,1,1]=>10101011=>6 [2,8,7,4,5,1,3,6]=>[7,1,2,5,4,8,6,3]=>[1,3,2,1,1]=>11001011=>4 [8,7,2,4,1,6,3,5]=>[1,2,7,5,8,3,6,4]=>[3,2,2,1]=>10010101=>6 [5,8,3,6,2,4,7,1]=>[4,1,6,3,7,5,2,8]=>[1,2,2,1,2]=>11010110=>5 [8,6,3,2,1,4,7,5]=>[1,3,6,7,8,5,2,4]=>[5,1,2]=>10000110=>3 [8,7,3,5,2,1,4,6]=>[1,2,6,4,7,8,5,3]=>[3,3,1,1]=>10010011=>4 [5,8,3,6,2,1,7,4]=>[4,1,6,3,7,8,2,5]=>[1,2,3,2]=>11010010=>5 [5,8,7,4,2,6,1,3]=>[4,1,2,5,7,3,8,6]=>[1,4,2,1]=>11000101=>4 [2,6,8,4,5,7,1,3]=>[7,3,1,5,4,2,8,6]=>[1,1,2,1,2,1]=>11101101=>4 [6,1,8,4,5,7,2,3]=>[3,8,1,5,4,2,7,6]=>[2,2,1,2,1]=>10101101=>6 [6,8,3,5,1,7,2,4]=>[3,1,6,4,8,2,7,5]=>[1,2,2,2,1]=>11010101=>6 [2,1,5,8,3,6,7,4]=>[7,8,4,1,6,3,2,5]=>[2,1,2,1,2]=>10110110=>5 [5,8,3,6,1,2,7,4]=>[4,1,6,3,8,7,2,5]=>[1,2,2,1,2]=>11010110=>5 [4,1,8,2,5,6,7,3]=>[5,8,1,7,4,3,2,6]=>[2,2,1,1,2]=>10101110=>5 [2,4,8,1,5,6,7,3]=>[7,5,1,8,4,3,2,6]=>[1,1,2,1,1,2]=>11101110=>3 [4,8,2,1,5,6,7,3]=>[5,1,7,8,4,3,2,6]=>[1,3,1,1,2]=>11001110=>3 [3,4,8,2,5,6,7,1]=>[6,5,1,7,4,3,2,8]=>[1,1,2,1,1,2]=>11101110=>3 [5,8,1,4,7,6,2,3]=>[4,1,8,5,2,3,7,6]=>[1,2,1,3,1]=>11011001=>4 [5,8,3,1,6,2,7,4]=>[4,1,6,8,3,7,2,5]=>[1,3,2,2]=>11001010=>5 [4,5,3,8,6,1,7,2]=>[5,4,6,1,3,8,2,7]=>[1,2,3,2]=>11010010=>5 [3,4,1,8,5,6,7,2]=>[6,5,8,1,4,3,2,7]=>[1,2,2,1,2]=>11010110=>5 [4,5,7,6,2,3,8,1]=>[5,4,2,3,7,6,1,8]=>[1,1,3,1,2]=>11100110=>3 [3,5,7,2,6,4,8,1]=>[6,4,2,7,3,5,1,8]=>[1,1,2,2,2]=>11101010=>5 [2,5,7,3,6,4,8,1]=>[7,4,2,6,3,5,1,8]=>[1,1,2,2,2]=>11101010=>5 [1,5,7,3,6,8,4,2]=>[8,4,2,6,3,1,5,7]=>[1,1,2,1,3]=>11101100=>3 [8,4,3,7,6,1,5,2]=>[1,5,6,2,3,8,4,7]=>[3,3,2]=>10010010=>5 [6,7,2,3,5,4,8,1]=>[3,2,7,6,4,5,1,8]=>[1,2,1,2,2]=>11011010=>5 [5,2,7,3,6,4,8,1]=>[4,7,2,6,3,5,1,8]=>[2,2,2,2]=>10101010=>7 [8,3,4,7,6,1,5,2]=>[1,6,5,2,3,8,4,7]=>[2,1,3,2]=>10110010=>5 [8,2,4,7,1,6,5,3]=>[1,7,5,2,8,3,4,6]=>[2,1,2,3]=>10110100=>5 [3,1,4,7,6,8,5,2]=>[6,8,5,2,3,1,4,7]=>[2,1,2,3]=>10110100=>5 [4,1,3,7,6,8,5,2]=>[5,8,6,2,3,1,4,7]=>[2,1,2,3]=>10110100=>5 [5,1,7,3,6,8,4,2]=>[4,8,2,6,3,1,5,7]=>[2,2,1,3]=>10101100=>5 [6,7,1,3,5,8,4,2]=>[3,2,8,6,4,1,5,7]=>[1,2,1,1,3]=>11011100=>3 [5,8,7,3,6,1,4,2]=>[4,1,2,6,3,8,5,7]=>[1,3,2,2]=>11001010=>5 [4,8,3,7,6,1,5,2]=>[5,1,6,2,3,8,4,7]=>[1,2,3,2]=>11010010=>5 [3,8,4,7,6,1,5,2]=>[6,1,5,2,3,8,4,7]=>[1,2,3,2]=>11010010=>5 [2,8,4,7,1,6,5,3]=>[7,1,5,2,8,3,4,6]=>[1,2,2,3]=>11010100=>5 [8,1,4,7,2,6,5,3]=>[1,8,5,2,7,3,4,6]=>[2,1,2,3]=>10110100=>5 [8,1,3,2,7,6,5,4]=>[1,8,6,7,2,3,4,5]=>[2,2,4]=>10101000=>5 [2,8,3,1,7,6,5,4]=>[7,1,6,8,2,3,4,5]=>[1,3,4]=>11001000=>3 [3,8,2,1,7,6,5,4]=>[6,1,7,8,2,3,4,5]=>[1,3,4]=>11001000=>3 [6,7,1,2,8,5,4,3]=>[3,2,8,7,1,4,5,6]=>[1,2,1,4]=>11011000=>3 [8,2,3,1,7,6,5,4]=>[1,7,6,8,2,3,4,5]=>[2,2,4]=>10101000=>5 [8,3,2,1,7,6,5,4]=>[1,6,7,8,2,3,4,5]=>[4,4]=>10001000=>3 [3,4,1,7,6,8,5,2]=>[6,5,8,2,3,1,4,7]=>[1,2,2,3]=>11010100=>5 [1,4,2,7,8,6,5,3]=>[8,5,7,2,1,3,4,6]=>[1,2,1,4]=>11011000=>3 [8,4,2,7,1,6,5,3]=>[1,5,7,2,8,3,4,6]=>[3,2,3]=>10010100=>5 [8,5,7,2,1,6,4,3]=>[1,4,2,7,8,3,5,6]=>[2,3,3]=>10100100=>5 [1,5,7,2,8,6,4,3]=>[8,4,2,7,1,3,5,6]=>[1,1,2,4]=>11101000=>3 [3,5,7,1,6,8,4,2]=>[6,4,2,8,3,1,5,7]=>[1,1,2,1,3]=>11101100=>3 [6,7,4,5,8,1,3,2]=>[3,2,5,4,1,8,6,7]=>[1,2,1,2,2]=>11011010=>5 [5,4,7,6,8,1,3,2]=>[4,5,2,3,1,8,6,7]=>[2,2,2,2]=>10101010=>7 [2,5,7,8,1,6,4,3]=>[7,4,2,1,8,3,5,6]=>[1,1,1,2,3]=>11110100=>3 [1,5,7,8,2,6,4,3]=>[8,4,2,1,7,3,5,6]=>[1,1,1,2,3]=>11110100=>3 [8,5,7,1,2,6,4,3]=>[1,4,2,8,7,3,5,6]=>[2,2,1,3]=>10101100=>5 [8,4,1,7,2,6,5,3]=>[1,5,8,2,7,3,4,6]=>[3,2,3]=>10010100=>5 [1,4,8,7,2,6,5,3]=>[8,5,1,2,7,3,4,6]=>[1,1,3,3]=>11100100=>3 [3,4,8,7,6,1,5,2]=>[6,5,1,2,3,8,4,7]=>[1,1,4,2]=>11100010=>3 [4,3,8,7,6,1,5,2]=>[5,6,1,2,3,8,4,7]=>[2,4,2]=>10100010=>5 [5,3,7,8,6,1,4,2]=>[4,6,2,1,3,8,5,7]=>[2,1,3,2]=>10110010=>5 [6,7,2,8,1,5,4,3]=>[3,2,7,1,8,4,5,6]=>[1,2,2,3]=>11010100=>5 [5,2,7,8,1,6,4,3]=>[4,7,2,1,8,3,5,6]=>[2,1,2,3]=>10110100=>5 [4,2,8,7,1,6,5,3]=>[5,7,1,2,8,3,4,6]=>[2,3,3]=>10100100=>5 [3,2,8,1,7,6,5,4]=>[6,7,1,8,2,3,4,5]=>[2,2,4]=>10101000=>5 [1,3,8,2,7,6,5,4]=>[8,6,1,7,2,3,4,5]=>[1,1,2,4]=>11101000=>3 [8,3,1,2,7,6,5,4]=>[1,6,8,7,2,3,4,5]=>[3,1,4]=>10011000=>3 [8,2,1,3,7,6,5,4]=>[1,7,8,6,2,3,4,5]=>[3,1,4]=>10011000=>3 [1,2,8,3,7,6,5,4]=>[8,7,1,6,2,3,4,5]=>[1,1,2,4]=>11101000=>3 [2,1,8,3,7,6,5,4]=>[7,8,1,6,2,3,4,5]=>[2,2,4]=>10101000=>5 [5,1,7,8,2,6,4,3]=>[4,8,2,1,7,3,5,6]=>[2,1,2,3]=>10110100=>5 [6,7,1,8,2,5,4,3]=>[3,2,8,1,7,4,5,6]=>[1,2,2,3]=>11010100=>5 [5,8,7,1,2,6,4,3]=>[4,1,2,8,7,3,5,6]=>[1,3,1,3]=>11001100=>3 [4,8,1,7,2,6,5,3]=>[5,1,8,2,7,3,4,6]=>[1,2,2,3]=>11010100=>5 [3,8,1,2,7,6,5,4]=>[6,1,8,7,2,3,4,5]=>[1,2,1,4]=>11011000=>3 [2,8,1,3,7,6,5,4]=>[7,1,8,6,2,3,4,5]=>[1,2,1,4]=>11011000=>3 [1,8,2,3,7,6,5,4]=>[8,1,7,6,2,3,4,5]=>[1,2,1,4]=>11011000=>3 [8,1,2,3,7,6,5,4]=>[1,8,7,6,2,3,4,5]=>[2,1,1,4]=>10111000=>3 [6,7,1,8,4,5,2,3]=>[3,2,8,1,5,4,7,6]=>[1,2,2,2,1]=>11010101=>6 [3,7,1,5,8,2,6,4]=>[6,2,8,4,1,7,3,5]=>[1,2,1,2,2]=>11011010=>5 [2,7,1,5,8,3,6,4]=>[7,2,8,4,1,6,3,5]=>[1,2,1,2,2]=>11011010=>5 [2,6,5,1,8,3,7,4]=>[7,3,4,8,1,6,2,5]=>[1,3,2,2]=>11001010=>5 [3,6,5,1,8,2,7,4]=>[6,3,4,8,1,7,2,5]=>[1,3,2,2]=>11001010=>5 [4,6,5,1,8,7,2,3]=>[5,3,4,8,1,2,7,6]=>[1,3,3,1]=>11001001=>4 [5,6,4,1,8,7,2,3]=>[4,3,5,8,1,2,7,6]=>[1,3,3,1]=>11001001=>4 [8,1,4,5,7,6,2,3]=>[1,8,5,4,2,3,7,6]=>[2,1,1,3,1]=>10111001=>4 [6,4,5,1,8,7,2,3]=>[3,5,4,8,1,2,7,6]=>[2,2,3,1]=>10101001=>6 [5,4,6,1,8,7,2,3]=>[4,5,3,8,1,2,7,6]=>[2,2,3,1]=>10101001=>6 [4,5,6,1,8,7,2,3]=>[5,4,3,8,1,2,7,6]=>[1,1,2,3,1]=>11101001=>4 [3,5,6,1,8,2,7,4]=>[6,4,3,8,1,7,2,5]=>[1,1,2,2,2]=>11101010=>5 [2,5,6,1,8,3,7,4]=>[7,4,3,8,1,6,2,5]=>[1,1,2,2,2]=>11101010=>5 [2,4,6,1,3,8,7,5]=>[7,5,3,8,6,1,2,4]=>[1,1,2,1,3]=>11101100=>3 [3,4,6,1,2,8,7,5]=>[6,5,3,8,7,1,2,4]=>[1,1,2,1,3]=>11101100=>3 [4,3,6,1,2,8,7,5]=>[5,6,3,8,7,1,2,4]=>[2,2,1,3]=>10101100=>5 [5,3,6,1,8,2,7,4]=>[4,6,3,8,1,7,2,5]=>[2,2,2,2]=>10101010=>7 [7,3,1,5,8,2,6,4]=>[2,6,8,4,1,7,3,5]=>[3,1,2,2]=>10011010=>5 [8,1,3,5,7,2,6,4]=>[1,8,6,4,2,7,3,5]=>[2,1,1,2,2]=>10111010=>5 [8,1,2,5,7,3,6,4]=>[1,8,7,4,2,6,3,5]=>[2,1,1,2,2]=>10111010=>5 [7,2,1,5,8,3,6,4]=>[2,7,8,4,1,6,3,5]=>[3,1,2,2]=>10011010=>5 [6,2,5,1,8,3,7,4]=>[3,7,4,8,1,6,2,5]=>[2,2,2,2]=>10101010=>7 [4,2,6,1,3,8,7,5]=>[5,7,3,8,6,1,2,4]=>[2,2,1,3]=>10101100=>5 [2,3,6,1,4,8,7,5]=>[7,6,3,8,5,1,2,4]=>[1,1,2,1,3]=>11101100=>3 [4,2,5,3,1,8,7,6]=>[5,7,4,6,8,1,2,3]=>[2,3,3]=>10100100=>5 [6,2,4,1,3,8,7,5]=>[3,7,5,8,6,1,2,4]=>[2,2,1,3]=>10101100=>5 [7,2,1,4,3,8,6,5]=>[2,7,8,5,6,1,3,4]=>[3,2,3]=>10010100=>5 [8,1,2,4,3,7,6,5]=>[1,8,7,5,6,2,3,4]=>[2,1,2,3]=>10110100=>5 [8,1,3,4,2,7,6,5]=>[1,8,6,5,7,2,3,4]=>[2,1,2,3]=>10110100=>5 [7,3,1,4,2,8,6,5]=>[2,6,8,5,7,1,3,4]=>[3,2,3]=>10010100=>5 [6,3,4,1,2,8,7,5]=>[3,6,5,8,7,1,2,4]=>[2,2,1,3]=>10101100=>5 [4,6,3,1,2,8,7,5]=>[5,3,6,8,7,1,2,4]=>[1,3,1,3]=>11001100=>3 [3,6,4,1,2,8,7,5]=>[6,3,5,8,7,1,2,4]=>[1,3,1,3]=>11001100=>3 [2,6,4,1,3,8,7,5]=>[7,3,5,8,6,1,2,4]=>[1,3,1,3]=>11001100=>3 [2,7,1,4,3,8,6,5]=>[7,2,8,5,6,1,3,4]=>[1,2,2,3]=>11010100=>5 [3,7,1,4,2,8,6,5]=>[6,2,8,5,7,1,3,4]=>[1,2,2,3]=>11010100=>5 [4,7,1,3,2,8,6,5]=>[5,2,8,6,7,1,3,4]=>[1,2,2,3]=>11010100=>5 [8,1,6,7,2,3,5,4]=>[1,8,3,2,7,6,4,5]=>[2,1,2,1,2]=>10110110=>5 [4,7,1,2,3,8,6,5]=>[5,2,8,7,6,1,3,4]=>[1,2,1,1,3]=>11011100=>3 [3,7,1,2,4,8,6,5]=>[6,2,8,7,5,1,3,4]=>[1,2,1,1,3]=>11011100=>3 [2,7,1,3,4,8,6,5]=>[7,2,8,6,5,1,3,4]=>[1,2,1,1,3]=>11011100=>3 [2,6,3,1,4,8,7,5]=>[7,3,6,8,5,1,2,4]=>[1,3,1,3]=>11001100=>3 [3,6,2,1,4,8,7,5]=>[6,3,7,8,5,1,2,4]=>[1,3,1,3]=>11001100=>3 [5,6,2,1,8,3,7,4]=>[4,3,7,8,1,6,2,5]=>[1,3,2,2]=>11001010=>5 [6,5,2,1,8,3,7,4]=>[3,4,7,8,1,6,2,5]=>[4,2,2]=>10001010=>5 [8,1,5,2,7,3,6,4]=>[1,8,4,7,2,6,3,5]=>[2,2,2,2]=>10101010=>7 [8,1,4,2,3,7,6,5]=>[1,8,5,7,6,2,3,4]=>[2,2,1,3]=>10101100=>5 [7,4,1,2,3,8,6,5]=>[2,5,8,7,6,1,3,4]=>[3,1,1,3]=>10011100=>3 [6,4,2,1,3,8,7,5]=>[3,5,7,8,6,1,2,4]=>[4,1,3]=>10001100=>3 [5,4,2,3,1,8,7,6]=>[4,5,7,6,8,1,2,3]=>[3,2,3]=>10010100=>5 [3,5,2,4,1,8,7,6]=>[6,4,7,5,8,1,2,3]=>[1,2,2,3]=>11010100=>5 [6,3,2,1,4,8,7,5]=>[3,6,7,8,5,1,2,4]=>[4,1,3]=>10001100=>3 [7,3,1,2,4,8,6,5]=>[2,6,8,7,5,1,3,4]=>[3,1,1,3]=>10011100=>3 [8,1,3,2,4,7,6,5]=>[1,8,6,7,5,2,3,4]=>[2,2,1,3]=>10101100=>5 [8,1,2,3,4,7,6,5]=>[1,8,7,6,5,2,3,4]=>[2,1,1,1,3]=>10111100=>3 [7,2,1,3,4,8,6,5]=>[2,7,8,6,5,1,3,4]=>[3,1,1,3]=>10011100=>3 [6,2,3,1,4,8,7,5]=>[3,7,6,8,5,1,2,4]=>[2,2,1,3]=>10101100=>5 [2,4,3,6,1,5,8,7]=>[7,5,6,3,8,4,1,2]=>[1,2,2,1,2]=>11010110=>5 [2,4,3,6,5,8,1,7]=>[7,5,6,3,4,1,8,2]=>[1,2,2,2,1]=>11010101=>6 [2,4,6,3,5,8,7,1]=>[7,5,3,6,4,1,2,8]=>[1,1,2,1,3]=>11101100=>3 [2,4,6,3,5,8,1,7]=>[7,5,3,6,4,1,8,2]=>[1,1,2,1,2,1]=>11101101=>4 [2,4,6,3,5,1,8,7]=>[7,5,3,6,4,8,1,2]=>[1,1,2,2,2]=>11101010=>5 [2,4,6,3,1,5,8,7]=>[7,5,3,6,8,4,1,2]=>[1,1,3,1,2]=>11100110=>3 [2,4,1,6,5,3,8,7]=>[7,5,8,3,4,6,1,2]=>[1,2,3,2]=>11010010=>5 [2,4,6,1,5,3,8,7]=>[7,5,3,8,4,6,1,2]=>[1,1,2,2,2]=>11101010=>5 [4,2,6,5,3,1,8,7]=>[5,7,3,4,6,8,1,2]=>[2,4,2]=>10100010=>5 [4,2,6,5,1,3,8,7]=>[5,7,3,4,8,6,1,2]=>[2,3,1,2]=>10100110=>5 [4,2,6,5,1,8,7,3]=>[5,7,3,4,8,1,2,6]=>[2,3,3]=>10100100=>5 [4,2,6,5,8,1,7,3]=>[5,7,3,4,1,8,2,6]=>[2,2,2,2]=>10101010=>7 [4,2,6,5,8,1,3,7]=>[5,7,3,4,1,8,6,2]=>[2,2,2,1,1]=>10101011=>6 [4,2,6,5,8,3,1,7]=>[5,7,3,4,1,6,8,2]=>[2,2,3,1]=>10101001=>6 [2,4,6,1,5,8,3,7]=>[7,5,3,8,4,1,6,2]=>[1,1,2,1,2,1]=>11101101=>4 [2,4,1,6,5,8,3,7]=>[7,5,8,3,4,1,6,2]=>[1,2,2,2,1]=>11010101=>6 [2,1,4,6,5,8,3,7]=>[7,8,5,3,4,1,6,2]=>[2,1,2,2,1]=>10110101=>6 [2,4,1,6,5,8,7,3]=>[7,5,8,3,4,1,2,6]=>[1,2,2,3]=>11010100=>5 [2,4,6,1,5,8,7,3]=>[7,5,3,8,4,1,2,6]=>[1,1,2,1,3]=>11101100=>3 [4,2,6,5,3,8,7,1]=>[5,7,3,4,6,1,2,8]=>[2,3,3]=>10100100=>5 [4,2,6,5,8,3,7,1]=>[5,7,3,4,1,6,2,8]=>[2,2,2,2]=>10101010=>7 [2,6,4,3,8,7,1,5]=>[7,3,5,6,1,2,8,4]=>[1,3,3,1]=>11001001=>4 [2,6,4,3,8,7,5,1]=>[7,3,5,6,1,2,4,8]=>[1,3,4]=>11001000=>3 [4,2,6,8,5,3,7,1]=>[5,7,3,1,4,6,2,8]=>[2,1,3,2]=>10110010=>5 [2,4,6,8,1,5,7,3]=>[7,5,3,1,8,4,2,6]=>[1,1,1,2,1,2]=>11110110=>3 [2,4,6,1,8,5,7,3]=>[7,5,3,8,1,4,2,6]=>[1,1,2,2,2]=>11101010=>5 [2,4,1,6,8,5,7,3]=>[7,5,8,3,1,4,2,6]=>[1,2,1,2,2]=>11011010=>5 [2,1,4,6,8,5,7,3]=>[7,8,5,3,1,4,2,6]=>[2,1,1,2,2]=>10111010=>5 [2,1,4,6,8,5,3,7]=>[7,8,5,3,1,4,6,2]=>[2,1,1,3,1]=>10111001=>4 [2,4,1,6,8,5,3,7]=>[7,5,8,3,1,4,6,2]=>[1,2,1,3,1]=>11011001=>4 [2,4,6,1,8,5,3,7]=>[7,5,3,8,1,4,6,2]=>[1,1,2,3,1]=>11101001=>4 [2,4,6,8,1,5,3,7]=>[7,5,3,1,8,4,6,2]=>[1,1,1,2,2,1]=>11110101=>4 [4,2,6,8,5,3,1,7]=>[5,7,3,1,4,6,8,2]=>[2,1,4,1]=>10110001=>4 [4,2,6,8,5,1,3,7]=>[5,7,3,1,4,8,6,2]=>[2,1,3,1,1]=>10110011=>4 [4,2,6,8,5,1,7,3]=>[5,7,3,1,4,8,2,6]=>[2,1,3,2]=>10110010=>5 [2,4,6,8,3,5,7,1]=>[7,5,3,1,6,4,2,8]=>[1,1,1,2,1,2]=>11110110=>3 [2,4,6,8,3,5,1,7]=>[7,5,3,1,6,4,8,2]=>[1,1,1,2,2,1]=>11110101=>4 [2,4,6,8,3,1,5,7]=>[7,5,3,1,6,8,4,2]=>[1,1,1,3,1,1]=>11110011=>2 [2,4,6,3,1,8,5,7]=>[7,5,3,6,8,1,4,2]=>[1,1,3,2,1]=>11100101=>4 [2,4,6,3,8,1,5,7]=>[7,5,3,6,1,8,4,2]=>[1,1,2,2,1,1]=>11101011=>4 [2,4,6,3,8,5,1,7]=>[7,5,3,6,1,4,8,2]=>[1,1,2,3,1]=>11101001=>4 [2,4,6,3,8,5,7,1]=>[7,5,3,6,1,4,2,8]=>[1,1,2,2,2]=>11101010=>5 [2,4,3,6,8,5,7,1]=>[7,5,6,3,1,4,2,8]=>[1,2,1,2,2]=>11011010=>5 [2,4,3,6,8,5,1,7]=>[7,5,6,3,1,4,8,2]=>[1,2,1,3,1]=>11011001=>4 [2,4,3,6,8,1,5,7]=>[7,5,6,3,1,8,4,2]=>[1,2,1,2,1,1]=>11011011=>4 [2,4,3,6,1,8,5,7]=>[7,5,6,3,8,1,4,2]=>[1,2,2,2,1]=>11010101=>6 [2,4,3,1,6,8,5,7]=>[7,5,6,8,3,1,4,2]=>[1,3,1,2,1]=>11001101=>4 [2,4,1,3,6,8,7,5]=>[7,5,8,6,3,1,2,4]=>[1,2,1,1,3]=>11011100=>3 [2,4,3,6,1,8,7,5]=>[7,5,6,3,8,1,2,4]=>[1,2,2,3]=>11010100=>5 [2,4,3,6,8,1,7,5]=>[7,5,6,3,1,8,2,4]=>[1,2,1,2,2]=>11011010=>5 [4,6,5,2,8,7,3,1]=>[5,3,4,7,1,2,6,8]=>[1,3,4]=>11001000=>3 [4,6,5,2,8,7,1,3]=>[5,3,4,7,1,2,8,6]=>[1,3,3,1]=>11001001=>4 [4,6,2,5,8,7,1,3]=>[5,3,7,4,1,2,8,6]=>[1,2,1,3,1]=>11011001=>4 [4,6,2,5,8,7,3,1]=>[5,3,7,4,1,2,6,8]=>[1,2,1,4]=>11011000=>3 [2,4,6,3,8,1,7,5]=>[7,5,3,6,1,8,2,4]=>[1,1,2,2,2]=>11101010=>5 [2,4,6,3,1,8,7,5]=>[7,5,3,6,8,1,2,4]=>[1,1,3,3]=>11100100=>3 [2,4,1,6,3,8,7,5]=>[7,5,8,3,6,1,2,4]=>[1,2,2,3]=>11010100=>5 [2,1,4,6,3,8,7,5]=>[7,8,5,3,6,1,2,4]=>[2,1,2,3]=>10110100=>5 [2,1,4,6,8,3,7,5]=>[7,8,5,3,1,6,2,4]=>[2,1,1,2,2]=>10111010=>5 [2,4,1,6,8,3,7,5]=>[7,5,8,3,1,6,2,4]=>[1,2,1,2,2]=>11011010=>5 [2,4,6,1,8,3,7,5]=>[7,5,3,8,1,6,2,4]=>[1,1,2,2,2]=>11101010=>5 [2,4,6,8,1,3,7,5]=>[7,5,3,1,8,6,2,4]=>[1,1,1,2,1,2]=>11110110=>3 [2,4,6,8,3,1,7,5]=>[7,5,3,1,6,8,2,4]=>[1,1,1,3,2]=>11110010=>3 [4,6,2,8,5,7,3,1]=>[5,3,7,1,4,2,6,8]=>[1,2,2,3]=>11010100=>5 [4,6,2,8,5,7,1,3]=>[5,3,7,1,4,2,8,6]=>[1,2,2,2,1]=>11010101=>6 [6,2,4,8,7,1,3,5]=>[3,7,5,1,2,8,6,4]=>[2,1,3,1,1]=>10110011=>4 [6,4,2,8,7,5,3,1]=>[3,5,7,1,2,4,6,8]=>[3,5]=>10010000=>3 [2,6,4,8,1,7,5,3]=>[7,3,5,1,8,2,4,6]=>[1,2,2,3]=>11010100=>5 [2,6,4,1,8,7,5,3]=>[7,3,5,8,1,2,4,6]=>[1,3,4]=>11001000=>3 [2,6,1,4,8,7,5,3]=>[7,3,8,5,1,2,4,6]=>[1,2,1,4]=>11011000=>3 [2,1,6,4,8,7,5,3]=>[7,8,3,5,1,2,4,6]=>[2,2,4]=>10101000=>5 [2,1,6,4,8,7,3,5]=>[7,8,3,5,1,2,6,4]=>[2,2,3,1]=>10101001=>6 [2,6,1,4,8,7,3,5]=>[7,3,8,5,1,2,6,4]=>[1,2,1,3,1]=>11011001=>4 [2,6,4,1,8,7,3,5]=>[7,3,5,8,1,2,6,4]=>[1,3,3,1]=>11001001=>4 [2,6,4,8,1,7,3,5]=>[7,3,5,1,8,2,6,4]=>[1,2,2,2,1]=>11010101=>6 [6,4,2,8,7,5,1,3]=>[3,5,7,1,2,4,8,6]=>[3,4,1]=>10010001=>4 [6,2,4,8,7,3,5,1]=>[3,7,5,1,2,6,4,8]=>[2,1,3,2]=>10110010=>5 [6,2,4,8,7,3,1,5]=>[3,7,5,1,2,6,8,4]=>[2,1,4,1]=>10110001=>4 [1,6,4,7,3,8,2,5]=>[8,3,5,2,6,1,7,4]=>[1,2,2,2,1]=>11010101=>6 [1,3,7,4,5,8,2,6]=>[8,6,2,5,4,1,7,3]=>[1,1,2,1,2,1]=>11101101=>4 [5,2,4,7,3,6,8,1]=>[4,7,5,2,6,3,1,8]=>[2,1,2,1,2]=>10110110=>5 [1,7,6,3,4,8,2,5]=>[8,2,3,6,5,1,7,4]=>[1,3,1,2,1]=>11001101=>4 [8,1,6,3,7,2,4,5]=>[1,8,3,6,2,7,5,4]=>[2,2,2,1,1]=>10101011=>6 [7,1,6,3,8,2,4,5]=>[2,8,3,6,1,7,5,4]=>[2,2,2,1,1]=>10101011=>6 [1,2,7,4,8,3,5,6]=>[8,7,2,5,1,6,4,3]=>[1,1,2,2,1,1]=>11101011=>4 [6,1,7,3,4,8,2,5]=>[3,8,2,6,5,1,7,4]=>[2,2,1,2,1]=>10101101=>6 [2,1,7,4,5,8,3,6]=>[7,8,2,5,4,1,6,3]=>[2,2,1,2,1]=>10101101=>6 [5,1,4,7,3,8,2,6]=>[4,8,5,2,6,1,7,3]=>[2,1,2,2,1]=>10110101=>6 [4,3,1,7,5,8,2,6]=>[5,6,8,2,4,1,7,3]=>[3,2,2,1]=>10010101=>6 [2,8,6,3,7,1,4,5]=>[7,1,3,6,2,8,5,4]=>[1,3,2,1,1]=>11001011=>4 [6,8,1,3,7,2,4,5]=>[3,1,8,6,2,7,5,4]=>[1,2,1,2,1,1]=>11011011=>4 [5,8,2,1,7,3,4,6]=>[4,1,7,8,2,6,5,3]=>[1,3,2,1,1]=>11001011=>4 [5,7,2,1,8,3,4,6]=>[4,2,7,8,1,6,5,3]=>[1,3,2,1,1]=>11001011=>4 [6,7,1,3,8,2,4,5]=>[3,2,8,6,1,7,5,4]=>[1,2,1,2,1,1]=>11011011=>4 [5,1,2,4,8,3,6,7]=>[4,8,7,5,1,6,3,2]=>[2,1,1,2,1,1]=>10111011=>4 [4,3,6,1,5,8,2,7]=>[5,6,3,8,4,1,7,2]=>[2,2,1,2,1]=>10101101=>6 [2,6,1,4,5,8,3,7]=>[7,3,8,5,4,1,6,2]=>[1,2,1,1,2,1]=>11011101=>4 [6,5,1,3,4,8,2,7]=>[3,4,8,6,5,1,7,2]=>[3,1,1,2,1]=>10011101=>4 [1,6,2,4,8,3,5,7]=>[8,3,7,5,1,6,4,2]=>[1,2,1,2,1,1]=>11011011=>4 [8,5,1,3,7,2,4,6]=>[1,4,8,6,2,7,5,3]=>[3,1,2,1,1]=>10011011=>4 [1,5,3,2,8,4,6,7]=>[8,4,6,7,1,5,3,2]=>[1,3,2,1,1]=>11001011=>4 [6,4,2,1,5,8,3,7]=>[3,5,7,8,4,1,6,2]=>[4,1,2,1]=>10001101=>4 [2,5,3,4,1,8,6,7]=>[7,4,6,5,8,1,3,2]=>[1,2,2,2,1]=>11010101=>6 [4,3,5,2,1,8,6,7]=>[5,6,4,7,8,1,3,2]=>[2,3,2,1]=>10100101=>6 [2,6,4,8,7,1,3,5]=>[7,3,5,1,2,8,6,4]=>[1,2,3,1,1]=>11010011=>4 [1,6,4,8,7,2,3,5]=>[8,3,5,1,2,7,6,4]=>[1,2,3,1,1]=>11010011=>4 [2,7,8,3,6,1,4,5]=>[7,2,1,6,3,8,5,4]=>[1,1,2,2,1,1]=>11101011=>4 [4,3,2,8,7,1,5,6]=>[5,6,7,1,2,8,4,3]=>[3,3,1,1]=>10010011=>4 [5,2,4,8,7,1,3,6]=>[4,7,5,1,2,8,6,3]=>[2,1,3,1,1]=>10110011=>4 [6,2,8,3,7,1,4,5]=>[3,7,1,6,2,8,5,4]=>[2,2,2,1,1]=>10101011=>6 [5,1,4,8,7,2,3,6]=>[4,8,5,1,2,7,6,3]=>[2,1,3,1,1]=>10110011=>4 [4,8,2,5,1,3,7,6]=>[5,1,7,4,8,6,2,3]=>[1,2,2,1,2]=>11010110=>5 [4,7,2,5,1,3,8,6]=>[5,2,7,4,8,6,1,3]=>[1,2,2,1,2]=>11010110=>5 [3,7,2,1,5,4,8,6]=>[6,2,7,8,4,5,1,3]=>[1,3,2,2]=>11001010=>5 [3,8,2,1,5,4,7,6]=>[6,1,7,8,4,5,2,3]=>[1,3,2,2]=>11001010=>5 [8,3,2,1,5,4,6,7]=>[1,6,7,8,4,5,3,2]=>[4,2,1,1]=>10001011=>4 [8,3,2,1,6,4,5,7]=>[1,6,7,8,3,5,4,2]=>[4,2,1,1]=>10001011=>4 [8,4,2,5,1,6,3,7]=>[1,5,7,4,8,3,6,2]=>[3,2,2,1]=>10010101=>6 [8,3,2,1,5,6,4,7]=>[1,6,7,8,4,3,5,2]=>[4,1,2,1]=>10001101=>4 [8,3,2,1,4,6,5,7]=>[1,6,7,8,5,3,4,2]=>[4,1,2,1]=>10001101=>4 [3,8,2,1,4,5,7,6]=>[6,1,7,8,5,4,2,3]=>[1,3,1,1,2]=>11001110=>3 [3,7,2,1,4,5,8,6]=>[6,2,7,8,5,4,1,3]=>[1,3,1,1,2]=>11001110=>3 [3,2,7,1,4,6,8,5]=>[6,7,2,8,5,3,1,4]=>[2,2,1,1,2]=>10101110=>5 [3,2,8,1,4,6,7,5]=>[6,7,1,8,5,3,2,4]=>[2,2,1,1,2]=>10101110=>5 [3,2,8,1,4,7,6,5]=>[6,7,1,8,5,2,3,4]=>[2,2,1,3]=>10101100=>5 [3,8,2,1,4,7,5,6]=>[6,1,7,8,5,2,4,3]=>[1,3,1,2,1]=>11001101=>4 [3,8,2,1,5,7,4,6]=>[6,1,7,8,4,2,5,3]=>[1,3,1,2,1]=>11001101=>4 [4,8,2,5,1,7,3,6]=>[5,1,7,4,8,2,6,3]=>[1,2,2,2,1]=>11010101=>6 [4,7,2,5,1,8,3,6]=>[5,2,7,4,8,1,6,3]=>[1,2,2,2,1]=>11010101=>6 [3,7,2,1,5,8,4,6]=>[6,2,7,8,4,1,5,3]=>[1,3,1,2,1]=>11001101=>4 [3,7,2,1,4,8,5,6]=>[6,2,7,8,5,1,4,3]=>[1,3,1,2,1]=>11001101=>4 [3,2,1,7,5,8,6,4]=>[6,7,8,2,4,1,3,5]=>[3,2,3]=>10010100=>5 [3,2,7,1,6,8,4,5]=>[6,7,2,8,3,1,5,4]=>[2,2,1,2,1]=>10101101=>6 [4,2,7,6,1,8,3,5]=>[5,7,2,3,8,1,6,4]=>[2,3,2,1]=>10100101=>6 [4,3,7,6,8,1,2,5]=>[5,6,2,3,1,8,7,4]=>[2,2,2,1,1]=>10101011=>6 [4,3,8,6,7,1,2,5]=>[5,6,1,3,2,8,7,4]=>[2,2,2,1,1]=>10101011=>6 [4,2,8,6,1,7,3,5]=>[5,7,1,3,8,2,6,4]=>[2,3,2,1]=>10100101=>6 [3,2,8,1,6,7,4,5]=>[6,7,1,8,3,2,5,4]=>[2,2,1,2,1]=>10101101=>6 [3,2,1,8,7,5,6,4]=>[6,7,8,1,2,4,3,5]=>[3,3,2]=>10010010=>5 [3,8,2,1,7,4,5,6]=>[6,1,7,8,2,5,4,3]=>[1,3,2,1,1]=>11001011=>4 [3,2,8,1,7,4,6,5]=>[6,7,1,8,2,5,3,4]=>[2,2,2,2]=>10101010=>7 [3,2,8,1,6,4,7,5]=>[6,7,1,8,3,5,2,4]=>[2,2,2,2]=>10101010=>7 [3,2,7,1,6,4,8,5]=>[6,7,2,8,3,5,1,4]=>[2,2,2,2]=>10101010=>7 [4,2,7,6,1,3,8,5]=>[5,7,2,3,8,6,1,4]=>[2,3,1,2]=>10100110=>5 [4,2,8,6,1,3,7,5]=>[5,7,1,3,8,6,2,4]=>[2,3,1,2]=>10100110=>5 [4,2,8,7,1,3,6,5]=>[5,7,1,2,8,6,3,4]=>[2,3,1,2]=>10100110=>5 [5,7,8,3,4,1,2,6]=>[4,2,1,6,5,8,7,3]=>[1,1,2,2,1,1]=>11101011=>4 [4,2,7,8,1,3,6,5]=>[5,7,2,1,8,6,3,4]=>[2,1,2,1,2]=>10110110=>5 [4,2,6,8,1,3,7,5]=>[5,7,3,1,8,6,2,4]=>[2,1,2,1,2]=>10110110=>5 [4,2,6,7,1,3,8,5]=>[5,7,3,2,8,6,1,4]=>[2,1,2,1,2]=>10110110=>5 [3,2,6,1,8,4,7,5]=>[6,7,3,8,1,5,2,4]=>[2,2,2,2]=>10101010=>7 [3,7,2,1,8,4,5,6]=>[6,2,7,8,1,5,4,3]=>[1,3,2,1,1]=>11001011=>4 [3,7,2,1,8,5,4,6]=>[6,2,7,8,1,4,5,3]=>[1,3,3,1]=>11001001=>4 [4,7,3,8,5,1,2,6]=>[5,2,6,1,4,8,7,3]=>[1,2,3,1,1]=>11010011=>4 [4,3,7,8,6,1,2,5]=>[5,6,2,1,3,8,7,4]=>[2,1,3,1,1]=>10110011=>4 [3,2,7,1,8,6,4,5]=>[6,7,2,8,1,3,5,4]=>[2,2,3,1]=>10101001=>6 [3,2,1,6,8,5,7,4]=>[6,7,8,3,1,4,2,5]=>[3,1,2,2]=>10011010=>5 [3,2,6,1,8,7,4,5]=>[6,7,3,8,1,2,5,4]=>[2,2,3,1]=>10101001=>6 [4,2,6,8,1,7,3,5]=>[5,7,3,1,8,2,6,4]=>[2,1,2,2,1]=>10110101=>6 [4,3,6,8,7,1,2,5]=>[5,6,3,1,2,8,7,4]=>[2,1,3,1,1]=>10110011=>4 [4,2,6,7,1,8,3,5]=>[5,7,3,2,8,1,6,4]=>[2,1,2,2,1]=>10110101=>6 [3,2,6,1,7,8,4,5]=>[6,7,3,8,2,1,5,4]=>[2,2,1,2,1]=>10101101=>6 [3,4,6,8,7,5,1,2]=>[6,5,3,1,2,4,8,7]=>[1,1,1,4,1]=>11110001=>2 [5,3,6,4,8,7,1,2]=>[4,6,3,5,1,2,8,7]=>[2,2,3,1]=>10101001=>6 [1,4,6,2,7,8,5,3]=>[8,5,3,7,2,1,4,6]=>[1,1,2,1,3]=>11101100=>3 [3,1,8,5,4,2,6,7]=>[6,8,1,4,5,7,3,2]=>[2,4,1,1]=>10100011=>4 [1,2,7,5,4,8,6,3]=>[8,7,2,4,5,1,3,6]=>[1,1,3,3]=>11100100=>3 [6,3,7,5,4,8,1,2]=>[3,6,2,4,5,1,8,7]=>[2,3,2,1]=>10100101=>6 [7,3,8,5,4,6,1,2]=>[2,6,1,4,5,3,8,7]=>[2,3,2,1]=>10100101=>6 [3,8,7,5,4,6,1,2]=>[6,1,2,4,5,3,8,7]=>[1,4,2,1]=>11000101=>4 [4,3,6,7,8,5,1,2]=>[5,6,3,2,1,4,8,7]=>[2,1,1,3,1]=>10111001=>4 [4,5,6,3,8,7,1,2]=>[5,4,3,6,1,2,8,7]=>[1,1,2,3,1]=>11101001=>4 [3,6,8,5,4,7,1,2]=>[6,3,1,4,5,2,8,7]=>[1,1,3,2,1]=>11100101=>4 [6,8,3,5,4,7,1,2]=>[3,1,6,4,5,2,8,7]=>[1,2,2,2,1]=>11010101=>6 [7,6,3,5,4,8,1,2]=>[2,3,6,4,5,1,8,7]=>[3,2,2,1]=>10010101=>6 [1,6,2,5,4,8,7,3]=>[8,3,7,4,5,1,2,6]=>[1,2,2,3]=>11010100=>5 [7,1,2,5,8,3,6,4]=>[2,8,7,4,1,6,3,5]=>[2,1,1,2,2]=>10111010=>5 [1,8,2,5,7,3,6,4]=>[8,1,7,4,2,6,3,5]=>[1,2,1,2,2]=>11011010=>5 [6,2,1,5,4,8,7,3]=>[3,7,8,4,5,1,2,6]=>[3,2,3]=>10010100=>5 [4,1,6,2,8,7,5,3]=>[5,8,3,7,1,2,4,6]=>[2,2,4]=>10101000=>5 [7,8,1,2,4,6,5,3]=>[2,1,8,7,5,3,4,6]=>[1,2,1,1,3]=>11011100=>3 [7,8,3,1,4,2,6,5]=>[2,1,6,8,5,7,3,4]=>[1,3,2,2]=>11001010=>5 [4,3,6,1,8,2,7,5]=>[5,6,3,8,1,7,2,4]=>[2,2,2,2]=>10101010=>7 [2,3,8,5,4,1,6,7]=>[7,6,1,4,5,8,3,2]=>[1,1,4,1,1]=>11100011=>2 [4,8,1,5,2,3,7,6]=>[5,1,8,4,7,6,2,3]=>[1,2,2,1,2]=>11010110=>5 [5,8,1,6,4,3,2,7]=>[4,1,8,3,5,6,7,2]=>[1,2,4,1]=>11010001=>4 [6,1,5,7,4,3,2,8]=>[3,8,4,2,5,6,7,1]=>[2,1,4,1]=>10110001=>4 [1,5,8,6,4,3,2,7]=>[8,4,1,3,5,6,7,2]=>[1,1,5,1]=>11100001=>2 [3,4,6,1,5,8,2,7]=>[6,5,3,8,4,1,7,2]=>[1,1,2,1,2,1]=>11101101=>4 [7,8,4,1,5,3,2,6]=>[2,1,5,8,4,6,7,3]=>[1,3,3,1]=>11001001=>4 [7,8,5,1,6,3,2,4]=>[2,1,4,8,3,6,7,5]=>[1,3,3,1]=>11001001=>4 [2,6,1,5,7,3,8,4]=>[7,3,8,4,2,6,1,5]=>[1,2,1,2,2]=>11011010=>5 [1,6,8,7,4,3,2,5]=>[8,3,1,2,5,6,7,4]=>[1,1,5,1]=>11100001=>2 [6,8,1,7,4,3,2,5]=>[3,1,8,2,5,6,7,4]=>[1,2,4,1]=>11010001=>4 [5,1,7,6,4,3,2,8]=>[4,8,2,3,5,6,7,1]=>[2,5,1]=>10100001=>4 [6,1,7,8,4,3,2,5]=>[3,8,2,1,5,6,7,4]=>[2,1,4,1]=>10110001=>4 [7,1,8,6,4,3,2,5]=>[2,8,1,3,5,6,7,4]=>[2,5,1]=>10100001=>4 [1,8,7,6,4,3,2,5]=>[8,1,2,3,5,6,7,4]=>[1,6,1]=>11000001=>2 [2,1,7,5,6,3,8,4]=>[7,8,2,4,3,6,1,5]=>[2,2,2,2]=>10101010=>7 [3,1,6,7,5,8,2,4]=>[6,8,3,2,4,1,7,5]=>[2,1,2,2,1]=>10110101=>6 [7,8,1,6,5,3,2,4]=>[2,1,8,3,4,6,7,5]=>[1,2,4,1]=>11010001=>4 [7,8,2,1,4,5,6,3]=>[2,1,7,8,5,4,3,6]=>[1,3,1,1,2]=>11001110=>3 [2,8,1,5,4,6,7,3]=>[7,1,8,4,5,3,2,6]=>[1,2,2,1,2]=>11010110=>5 [7,2,1,5,4,6,8,3]=>[2,7,8,4,5,3,1,6]=>[3,2,1,2]=>10010110=>5 [1,2,8,5,6,3,7,4]=>[8,7,1,4,3,6,2,5]=>[1,1,2,2,2]=>11101010=>5 [6,1,2,5,7,3,8,4]=>[3,8,7,4,2,6,1,5]=>[2,1,1,2,2]=>10111010=>5 [4,2,1,5,6,3,7,8]=>[5,7,8,4,3,6,2,1]=>[3,1,2,1,1]=>10011011=>4 [4,3,6,1,5,7,2,8]=>[5,6,3,8,4,2,7,1]=>[2,2,1,2,1]=>10101101=>6 [5,1,6,3,7,8,2,4]=>[4,8,3,6,2,1,7,5]=>[2,2,1,2,1]=>10101101=>6 [1,3,6,8,5,7,2,4]=>[8,6,3,1,4,2,7,5]=>[1,1,1,2,2,1]=>11110101=>4 [2,4,6,3,7,1,8,5]=>[7,5,3,6,2,8,1,4]=>[1,1,2,2,2]=>11101010=>5 [1,3,6,4,8,7,2,5]=>[8,6,3,5,1,2,7,4]=>[1,1,2,3,1]=>11101001=>4 [4,1,6,7,3,8,2,5]=>[5,8,3,2,6,1,7,4]=>[2,1,2,2,1]=>10110101=>6 [5,4,6,1,3,7,2,8]=>[4,5,3,8,6,2,7,1]=>[2,2,1,2,1]=>10101101=>6 [6,4,1,5,2,3,7,8]=>[3,5,8,4,7,6,2,1]=>[3,2,1,1,1]=>10010111=>4 [4,1,7,5,2,3,8,6]=>[5,8,2,4,7,6,1,3]=>[2,3,1,2]=>10100110=>5 [1,2,4,5,8,3,7,6]=>[8,7,5,4,1,6,2,3]=>[1,1,1,1,2,2]=>11111010=>3 [7,2,3,5,4,1,8,6]=>[2,7,6,4,5,8,1,3]=>[2,1,3,2]=>10110010=>5 [2,8,3,5,4,1,7,6]=>[7,1,6,4,5,8,2,3]=>[1,2,3,2]=>11010010=>5 [4,2,6,3,8,1,7,5]=>[5,7,3,6,1,8,2,4]=>[2,2,2,2]=>10101010=>7 [7,8,2,3,4,1,6,5]=>[2,1,7,6,5,8,3,4]=>[1,2,1,2,2]=>11011010=>5 [7,8,1,4,6,3,2,5]=>[2,1,8,5,3,6,7,4]=>[1,2,1,3,1]=>11011001=>4 [3,1,6,4,7,8,2,5]=>[6,8,3,5,2,1,7,4]=>[2,2,1,2,1]=>10101101=>6 [1,8,5,7,4,3,2,6]=>[8,1,4,2,5,6,7,3]=>[1,2,4,1]=>11010001=>4 [7,1,5,8,4,3,2,6]=>[2,8,4,1,5,6,7,3]=>[2,1,4,1]=>10110001=>4 [5,1,8,7,4,3,2,6]=>[4,8,1,2,5,6,7,3]=>[2,5,1]=>10100001=>4 [6,5,1,8,4,3,2,7]=>[3,4,8,1,5,6,7,2]=>[3,4,1]=>10010001=>4 [6,5,7,1,4,3,2,8]=>[3,4,2,8,5,6,7,1]=>[2,2,3,1]=>10101001=>6 [7,5,8,1,4,3,2,6]=>[2,4,1,8,5,6,7,3]=>[2,2,3,1]=>10101001=>6 [5,8,7,1,4,3,2,6]=>[4,1,2,8,5,6,7,3]=>[1,3,3,1]=>11001001=>4 [1,5,7,8,4,3,2,6]=>[8,4,2,1,5,6,7,3]=>[1,1,1,4,1]=>11110001=>2 [2,4,7,5,1,3,8,6]=>[7,5,2,4,8,6,1,3]=>[1,1,3,1,2]=>11100110=>3 [7,8,4,6,1,3,2,5]=>[2,1,5,3,8,6,7,4]=>[1,2,2,2,1]=>11010101=>6 [7,8,5,4,1,3,2,6]=>[2,1,4,5,8,6,7,3]=>[1,4,2,1]=>11000101=>4 [3,5,6,4,1,8,2,7]=>[6,4,3,5,8,1,7,2]=>[1,1,3,2,1]=>11100101=>4 [2,6,4,5,1,3,8,7]=>[7,3,5,4,8,6,1,2]=>[1,2,2,1,2]=>11010110=>5 [1,6,5,8,4,3,2,7]=>[8,3,4,1,5,6,7,2]=>[1,2,4,1]=>11010001=>4 [6,8,5,1,4,3,2,7]=>[3,1,4,8,5,6,7,2]=>[1,3,3,1]=>11001001=>4 [7,6,5,1,4,3,2,8]=>[2,3,4,8,5,6,7,1]=>[4,3,1]=>10001001=>4 [1,2,3,4,5,6,9,7,8]=>[9,8,7,6,5,4,1,3,2]=>[1,1,1,1,1,1,2,1]=>111111101=>2 [1,2,3,4,5,8,6,9,7]=>[9,8,7,6,5,2,4,1,3]=>[1,1,1,1,1,2,2]=>111111010=>3 [1,2,3,4,7,5,8,9,6]=>[9,8,7,6,3,5,2,1,4]=>[1,1,1,1,2,1,2]=>111110110=>3 [1,2,3,6,4,7,8,9,5]=>[9,8,7,4,6,3,2,1,5]=>[1,1,1,2,1,1,2]=>111101110=>3 [1,2,5,3,6,7,8,9,4]=>[9,8,5,7,4,3,2,1,6]=>[1,1,2,1,1,1,2]=>111011110=>3 [1,4,2,5,6,7,8,9,3]=>[9,6,8,5,4,3,2,1,7]=>[1,2,1,1,1,1,2]=>110111110=>3 [9,8,1,2,3,4,5,6,7]=>[1,2,9,8,7,6,5,4,3]=>[3,1,1,1,1,1,1]=>100111111=>2 [7,8,9,1,2,3,4,5,6]=>[3,2,1,9,8,7,6,5,4]=>[1,1,2,1,1,1,1,1]=>111011111=>2 [9,8,7,1,2,3,4,5,6]=>[1,2,3,9,8,7,6,5,4]=>[4,1,1,1,1,1]=>100011111=>2 [6,7,8,9,1,2,3,4,5]=>[4,3,2,1,9,8,7,6,5]=>[1,1,1,2,1,1,1,1]=>111101111=>2 [9,6,7,8,1,2,3,4,5]=>[1,4,3,2,9,8,7,6,5]=>[2,1,2,1,1,1,1]=>101101111=>4 [8,9,6,7,1,2,3,4,5]=>[2,1,4,3,9,8,7,6,5]=>[1,2,2,1,1,1,1]=>110101111=>4 [9,8,6,7,1,2,3,4,5]=>[1,2,4,3,9,8,7,6,5]=>[3,2,1,1,1,1]=>100101111=>4 [9,8,7,6,1,2,3,4,5]=>[1,2,3,4,9,8,7,6,5]=>[5,1,1,1,1]=>100001111=>2 [9,5,6,7,8,1,2,3,4]=>[1,5,4,3,2,9,8,7,6]=>[2,1,1,2,1,1,1]=>101110111=>4 [8,9,5,6,7,1,2,3,4]=>[2,1,5,4,3,9,8,7,6]=>[1,2,1,2,1,1,1]=>110110111=>4 [9,8,5,6,7,1,2,3,4]=>[1,2,5,4,3,9,8,7,6]=>[3,1,2,1,1,1]=>100110111=>4 [9,7,8,5,6,1,2,3,4]=>[1,3,2,5,4,9,8,7,6]=>[2,2,2,1,1,1]=>101010111=>6 [9,8,7,5,6,1,2,3,4]=>[1,2,3,5,4,9,8,7,6]=>[4,2,1,1,1]=>100010111=>4 [9,8,7,6,5,1,2,3,4]=>[1,2,3,4,5,9,8,7,6]=>[6,1,1,1]=>100000111=>2 [7,8,9,4,5,6,1,2,3]=>[3,2,1,6,5,4,9,8,7]=>[1,1,2,1,2,1,1]=>111011011=>4 [9,7,8,4,5,6,1,2,3]=>[1,3,2,6,5,4,9,8,7]=>[2,2,1,2,1,1]=>101011011=>6 [9,8,7,4,5,6,1,2,3]=>[1,2,3,6,5,4,9,8,7]=>[4,1,2,1,1]=>100011011=>4 [8,9,6,7,4,5,1,2,3]=>[2,1,4,3,6,5,9,8,7]=>[1,2,2,2,1,1]=>110101011=>6 [9,8,6,7,4,5,1,2,3]=>[1,2,4,3,6,5,9,8,7]=>[3,2,2,1,1]=>100101011=>6 [9,8,7,6,4,5,1,2,3]=>[1,2,3,4,6,5,9,8,7]=>[5,2,1,1]=>100001011=>4 [9,8,7,6,5,4,1,2,3]=>[1,2,3,4,5,6,9,8,7]=>[7,1,1]=>100000011=>2 [9,7,8,5,6,3,4,1,2]=>[1,3,2,5,4,7,6,9,8]=>[2,2,2,2,1]=>101010101=>8 [9,8,7,5,6,3,4,1,2]=>[1,2,3,5,4,7,6,9,8]=>[4,2,2,1]=>100010101=>6 [9,8,7,6,5,3,4,1,2]=>[1,2,3,4,5,7,6,9,8]=>[6,2,1]=>100000101=>4 [9,8,7,6,5,4,3,1,2]=>[1,2,3,4,5,6,7,9,8]=>[8,1]=>100000001=>2 [3,4,6,2,7,1,5,8]=>[6,5,3,7,2,8,4,1]=>[1,1,2,2,1,1]=>11101011=>4 [3,6,2,5,4,1,7,8]=>[6,3,7,4,5,8,2,1]=>[1,2,3,1,1]=>11010011=>4 [3,2,7,5,4,1,6,8]=>[6,7,2,4,5,8,3,1]=>[2,4,1,1]=>10100011=>4 [4,3,6,2,8,1,5,7]=>[5,6,3,7,1,8,4,2]=>[2,2,2,1,1]=>10101011=>6 [6,1,2,5,4,7,8,3]=>[3,8,7,4,5,2,1,6]=>[2,1,2,1,2]=>10110110=>5 [6,2,4,5,1,3,7,8]=>[3,7,5,4,8,6,2,1]=>[2,1,2,1,1,1]=>10110111=>4 [4,2,8,5,1,3,7,6]=>[5,7,1,4,8,6,2,3]=>[2,3,1,2]=>10100110=>5 [4,3,6,8,1,7,2,5]=>[5,6,3,1,8,2,7,4]=>[2,1,2,2,1]=>10110101=>6 [5,3,6,4,1,7,2,8]=>[4,6,3,5,8,2,7,1]=>[2,3,2,1]=>10100101=>6 [6,2,1,5,8,3,7,4]=>[3,7,8,4,1,6,2,5]=>[3,1,2,2]=>10011010=>5 [1,6,7,4,8,3,5,2]=>[8,3,2,5,1,6,4,7]=>[1,1,2,2,2]=>11101010=>5 [1,4,6,3,7,5,8,2]=>[8,5,3,6,2,4,1,7]=>[1,1,2,2,2]=>11101010=>5 [4,6,7,2,5,8,1,3]=>[5,3,2,7,4,1,8,6]=>[1,1,2,1,2,1]=>11101101=>4 [2,4,6,1,7,5,3,8]=>[7,5,3,8,2,4,6,1]=>[1,1,2,3,1]=>11101001=>4 [7,5,4,6,2,8,1,3]=>[2,4,5,3,7,1,8,6]=>[3,2,2,1]=>10010101=>6 [1,7,5,4,3,8,6,2]=>[8,2,4,5,6,1,3,7]=>[1,4,3]=>11000100=>3 [1,4,6,3,5,8,7,2]=>[8,5,3,6,4,1,2,7]=>[1,1,2,1,3]=>11101100=>3 [1,5,8,4,3,6,7,2]=>[8,4,1,5,6,3,2,7]=>[1,1,3,1,2]=>11100110=>3 [5,4,6,2,7,8,1,3]=>[4,5,3,7,2,1,8,6]=>[2,2,1,2,1]=>10101101=>6 [2,5,4,1,6,7,3,8]=>[7,4,5,8,3,2,6,1]=>[1,3,1,2,1]=>11001101=>4 [5,6,3,2,7,1,4,8]=>[4,3,6,7,2,8,5,1]=>[1,3,2,1,1]=>11001011=>4 [5,6,3,2,7,1,8,4]=>[4,3,6,7,2,8,1,5]=>[1,3,2,2]=>11001010=>5 [8,5,6,3,2,7,1,4]=>[1,4,3,6,7,2,8,5]=>[2,3,2,1]=>10100101=>6 [5,4,6,2,8,1,7,3]=>[4,5,3,7,1,8,2,6]=>[2,2,2,2]=>10101010=>7 [2,4,1,7,8,5,3,6]=>[7,5,8,2,1,4,6,3]=>[1,2,1,3,1]=>11011001=>4 [2,5,4,1,6,3,8,7]=>[7,4,5,8,3,6,1,2]=>[1,3,2,2]=>11001010=>5 [5,6,3,2,1,8,4,7]=>[4,3,6,7,8,1,5,2]=>[1,4,2,1]=>11000101=>4 [3,5,2,1,6,4,7,8]=>[6,4,7,8,3,5,2,1]=>[1,3,2,1,1]=>11001011=>4 [6,8,4,3,2,1,5,7]=>[3,1,5,6,7,8,4,2]=>[1,5,1,1]=>11000011=>2 [5,3,8,2,1,6,4,7]=>[4,6,1,7,8,3,5,2]=>[2,3,2,1]=>10100101=>6 [3,7,5,8,2,1,4,6]=>[6,2,4,1,7,8,5,3]=>[1,2,3,1,1]=>11010011=>4 [7,3,2,8,5,1,6,4]=>[2,6,7,1,4,8,3,5]=>[3,3,2]=>10010010=>5 [8,4,6,3,2,1,7,5]=>[1,5,3,6,7,8,2,4]=>[2,4,2]=>10100010=>5 [8,6,4,3,2,1,7,5]=>[1,3,5,6,7,8,2,4]=>[6,2]=>10000010=>3 [7,6,4,3,2,1,8,5]=>[2,3,5,6,7,8,1,4]=>[6,2]=>10000010=>3 [7,8,4,3,2,1,6,5]=>[2,1,5,6,7,8,3,4]=>[1,5,2]=>11000010=>3 [5,4,7,2,1,8,6,3]=>[4,5,2,7,8,1,3,6]=>[2,3,3]=>10100100=>5 [7,5,8,3,2,6,1,4]=>[2,4,1,6,7,3,8,5]=>[2,3,2,1]=>10100101=>6 [5,7,3,2,1,6,8,4]=>[4,2,6,7,8,3,1,5]=>[1,4,1,2]=>11000110=>3 [5,7,3,2,1,6,4,8]=>[4,2,6,7,8,3,5,1]=>[1,4,2,1]=>11000101=>4 [6,3,7,2,5,1,8,4]=>[3,6,2,7,4,8,1,5]=>[2,2,2,2]=>10101010=>7 [6,7,8,3,5,2,1,4]=>[3,2,1,6,4,7,8,5]=>[1,1,2,3,1]=>11101001=>4 [6,2,5,7,8,4,1,3]=>[3,7,4,2,1,5,8,6]=>[2,1,1,3,1]=>10111001=>4 [2,1,5,7,8,6,3,4]=>[7,8,4,2,1,3,6,5]=>[2,1,1,3,1]=>10111001=>4 [3,6,7,2,8,1,4,5]=>[6,3,2,7,1,8,5,4]=>[1,1,2,2,1,1]=>11101011=>4 [6,3,7,2,8,1,4,5]=>[3,6,2,7,1,8,5,4]=>[2,2,2,1,1]=>10101011=>6 [3,2,6,1,7,4,5,8]=>[6,7,3,8,2,5,4,1]=>[2,2,2,1,1]=>10101011=>6 [3,5,2,1,4,7,6,8]=>[6,4,7,8,5,2,3,1]=>[1,3,1,2,1]=>11001101=>4 [7,3,5,2,1,8,4,6]=>[2,6,4,7,8,1,5,3]=>[2,3,2,1]=>10100101=>6 [2,5,4,1,3,7,8,6]=>[7,4,5,8,6,2,1,3]=>[1,3,1,1,2]=>11001110=>3 [2,5,8,4,1,3,7,6]=>[7,4,1,5,8,6,2,3]=>[1,1,3,1,2]=>11100110=>3 [2,4,1,7,8,3,6,5]=>[7,5,8,2,1,6,3,4]=>[1,2,1,2,2]=>11011010=>5 [3,7,2,8,6,1,4,5]=>[6,2,7,1,3,8,5,4]=>[1,2,3,1,1]=>11010011=>4 [3,6,8,2,1,7,4,5]=>[6,3,1,7,8,2,5,4]=>[1,1,3,2,1]=>11100101=>4 [5,3,8,2,1,4,7,6]=>[4,6,1,7,8,5,2,3]=>[2,3,1,2]=>10100110=>5 [4,8,7,3,2,1,5,6]=>[5,1,2,6,7,8,4,3]=>[1,5,1,1]=>11000011=>2 [4,7,3,2,1,5,6,8]=>[5,2,6,7,8,4,3,1]=>[1,4,1,1,1]=>11000111=>2 [8,4,7,3,2,1,5,6]=>[1,5,2,6,7,8,4,3]=>[2,4,1,1]=>10100011=>4 [8,3,5,2,1,4,7,6]=>[1,6,4,7,8,5,2,3]=>[2,3,1,2]=>10100110=>5 [7,3,2,8,6,1,4,5]=>[2,6,7,1,3,8,5,4]=>[3,3,1,1]=>10010011=>4 [7,8,6,5,4,3,2,1,9]=>[3,2,4,5,6,7,8,9,1]=>[1,7,1]=>110000001=>2 [1,8,9,7,6,5,4,3,2]=>[9,2,1,3,4,5,6,7,8]=>[1,1,7]=>111000000=>1 [7,6,8,5,4,3,2,1,9]=>[3,4,2,5,6,7,8,9,1]=>[2,6,1]=>101000001=>4 [6,8,7,5,4,3,2,1,9]=>[4,2,3,5,6,7,8,9,1]=>[1,7,1]=>110000001=>2 [1,8,7,9,6,5,4,3,2]=>[9,2,3,1,4,5,6,7,8]=>[1,2,6]=>110100000=>3 [1,7,9,8,6,5,4,3,2]=>[9,3,1,2,4,5,6,7,8]=>[1,1,7]=>111000000=>1 [7,8,3,5,4,6,1,2]=>[2,1,6,4,5,3,8,7]=>[1,2,2,2,1]=>11010101=>6 [8,6,3,7,5,2,4,1]=>[1,3,6,2,4,7,5,8]=>[3,3,2]=>10010010=>5 [5,4,1,6,3,2,8,7]=>[4,5,8,3,6,7,1,2]=>[3,3,2]=>10010010=>5 [5,4,1,6,2,3,8,7]=>[4,5,8,3,7,6,1,2]=>[3,2,1,2]=>10010110=>5 [5,7,1,6,2,8,3,4]=>[4,2,8,3,7,1,6,5]=>[1,2,2,2,1]=>11010101=>6 [5,7,1,6,2,8,4,3]=>[4,2,8,3,7,1,5,6]=>[1,2,2,3]=>11010100=>5 [2,7,6,5,1,8,3,4]=>[7,2,3,4,8,1,6,5]=>[1,4,2,1]=>11000101=>4 [2,7,6,5,1,8,4,3]=>[7,2,3,4,8,1,5,6]=>[1,4,3]=>11000100=>3 [2,3,6,5,1,4,8,7]=>[7,6,3,4,8,5,1,2]=>[1,1,3,1,2]=>11100110=>3 [2,3,6,4,1,5,8,7]=>[7,6,3,5,8,4,1,2]=>[1,1,3,1,2]=>11100110=>3 [2,3,6,1,5,4,8,7]=>[7,6,3,8,4,5,1,2]=>[1,1,2,2,2]=>11101010=>5 [2,7,6,1,4,8,5,3]=>[7,2,3,8,5,1,4,6]=>[1,3,1,3]=>11001100=>3 [2,7,6,1,4,8,3,5]=>[7,2,3,8,5,1,6,4]=>[1,3,1,2,1]=>11001101=>4 [7,3,5,1,8,4,2,6]=>[2,6,4,8,1,5,7,3]=>[2,2,3,1]=>10101001=>6 [7,3,5,1,8,6,4,2]=>[2,6,4,8,1,3,5,7]=>[2,2,4]=>10101000=>5 [2,7,6,1,5,8,4,3]=>[7,2,3,8,4,1,5,6]=>[1,3,1,3]=>11001100=>3 [2,7,6,4,1,8,5,3]=>[7,2,3,5,8,1,4,6]=>[1,4,3]=>11000100=>3 [2,1,7,6,3,8,5,4]=>[7,8,2,3,6,1,4,5]=>[2,3,3]=>10100100=>5 [2,1,7,6,3,8,4,5]=>[7,8,2,3,6,1,5,4]=>[2,3,2,1]=>10100101=>6 [5,7,3,6,2,8,4,1]=>[4,2,6,3,7,1,5,8]=>[1,2,2,3]=>11010100=>5 [2,7,6,4,1,8,3,5]=>[7,2,3,5,8,1,6,4]=>[1,4,2,1]=>11000101=>4 [7,3,5,1,8,6,2,4]=>[2,6,4,8,1,3,7,5]=>[2,2,3,1]=>10101001=>6 [6,3,5,1,8,2,4,7]=>[3,6,4,8,1,7,5,2]=>[2,2,2,1,1]=>10101011=>6 [2,3,4,8,7,6,1,5]=>[7,6,5,1,2,3,8,4]=>[1,1,1,4,1]=>11110001=>2 [2,3,4,8,5,7,1,6]=>[7,6,5,1,4,2,8,3]=>[1,1,1,2,2,1]=>11110101=>4 [7,3,5,4,8,1,2,6]=>[2,6,4,5,1,8,7,3]=>[2,2,2,1,1]=>10101011=>6 [6,4,3,5,8,7,2,1]=>[3,5,6,4,1,2,7,8]=>[3,1,4]=>10011000=>3 [2,1,4,5,8,7,3,6]=>[7,8,5,4,1,2,6,3]=>[2,1,1,3,1]=>10111001=>4 [6,4,3,5,8,7,1,2]=>[3,5,6,4,1,2,8,7]=>[3,1,3,1]=>10011001=>4 [7,3,5,4,8,1,6,2]=>[2,6,4,5,1,8,3,7]=>[2,2,2,2]=>10101010=>7 [2,3,4,8,7,5,6,1]=>[7,6,5,1,2,4,3,8]=>[1,1,1,3,2]=>11110010=>3 [2,3,4,8,7,5,1,6]=>[7,6,5,1,2,4,8,3]=>[1,1,1,4,1]=>11110001=>2 [2,7,6,5,4,8,1,3]=>[7,2,3,4,5,1,8,6]=>[1,4,2,1]=>11000101=>4 [7,3,5,6,8,4,1,2]=>[2,6,4,3,1,5,8,7]=>[2,1,1,3,1]=>10111001=>4 [7,3,5,6,8,1,4,2]=>[2,6,4,3,1,8,5,7]=>[2,1,1,2,2]=>10111010=>5 [7,3,5,6,8,1,2,4]=>[2,6,4,3,1,8,7,5]=>[2,1,1,2,1,1]=>10111011=>4 [6,4,1,5,8,7,2,3]=>[3,5,8,4,1,2,7,6]=>[3,1,3,1]=>10011001=>4 [6,4,1,5,8,7,3,2]=>[3,5,8,4,1,2,6,7]=>[3,1,4]=>10011000=>3 [6,4,1,5,8,3,7,2]=>[3,5,8,4,1,6,2,7]=>[3,1,2,2]=>10011010=>5 [5,7,1,6,3,8,2,4]=>[4,2,8,3,6,1,7,5]=>[1,2,2,2,1]=>11010101=>6 [6,4,1,5,8,3,2,7]=>[3,5,8,4,1,6,7,2]=>[3,1,3,1]=>10011001=>4 [7,4,1,5,8,2,3,6]=>[2,5,8,4,1,7,6,3]=>[3,1,2,1,1]=>10011011=>4 [7,4,1,5,8,2,6,3]=>[2,5,8,4,1,7,3,6]=>[3,1,2,2]=>10011010=>5 [6,3,5,7,8,2,1,4]=>[3,6,4,2,1,7,8,5]=>[2,1,1,3,1]=>10111001=>4 [6,3,5,7,8,2,4,1]=>[3,6,4,2,1,7,5,8]=>[2,1,1,2,2]=>10111010=>5 [2,7,6,4,5,8,3,1]=>[7,2,3,5,4,1,6,8]=>[1,3,1,3]=>11001100=>3 [5,7,3,6,1,8,4,2]=>[4,2,6,3,8,1,5,7]=>[1,2,2,3]=>11010100=>5 [2,1,4,5,8,6,3,7]=>[7,8,5,4,1,3,6,2]=>[2,1,1,3,1]=>10111001=>4 [7,3,5,4,8,6,2,1]=>[2,6,4,5,1,3,7,8]=>[2,2,4]=>10101000=>5 [2,3,4,8,5,6,1,7]=>[7,6,5,1,4,3,8,2]=>[1,1,1,2,2,1]=>11110101=>4 [2,3,4,8,7,1,6,5]=>[7,6,5,1,2,8,3,4]=>[1,1,1,3,2]=>11110010=>3 [2,3,4,8,1,7,6,5]=>[7,6,5,1,8,2,3,4]=>[1,1,1,2,3]=>11110100=>3 [2,3,4,8,1,6,7,5]=>[7,6,5,1,8,3,2,4]=>[1,1,1,2,1,2]=>11110110=>3 [2,3,4,8,5,1,7,6]=>[7,6,5,1,4,8,2,3]=>[1,1,1,3,2]=>11110010=>3 [6,3,5,4,8,2,7,1]=>[3,6,4,5,1,7,2,8]=>[2,2,2,2]=>10101010=>7 [7,4,3,5,8,2,1,6]=>[2,5,6,4,1,7,8,3]=>[3,1,3,1]=>10011001=>4 [2,1,4,5,8,3,7,6]=>[7,8,5,4,1,6,2,3]=>[2,1,1,2,2]=>10111010=>5 [7,4,3,5,8,2,6,1]=>[2,5,6,4,1,7,3,8]=>[3,1,2,2]=>10011010=>5 [6,3,5,4,8,2,1,7]=>[3,6,4,5,1,7,8,2]=>[2,2,3,1]=>10101001=>6 [2,3,4,8,5,1,6,7]=>[7,6,5,1,4,8,3,2]=>[1,1,1,3,1,1]=>11110011=>2 [2,3,4,8,1,6,5,7]=>[7,6,5,1,8,3,4,2]=>[1,1,1,2,2,1]=>11110101=>4 [2,3,4,8,1,5,7,6]=>[7,6,5,1,8,4,2,3]=>[1,1,1,2,1,2]=>11110110=>3 [7,8,2,6,1,5,3,4]=>[2,1,7,3,8,4,6,5]=>[1,2,2,2,1]=>11010101=>6 [7,8,1,6,2,5,3,4]=>[2,1,8,3,7,4,6,5]=>[1,2,2,2,1]=>11010101=>6 [1,8,6,7,2,5,3,4]=>[8,1,3,2,7,4,6,5]=>[1,2,2,2,1]=>11010101=>6 [1,8,5,7,2,6,3,4]=>[8,1,4,2,7,3,6,5]=>[1,2,2,2,1]=>11010101=>6 [5,8,1,7,2,6,3,4]=>[4,1,8,2,7,3,6,5]=>[1,2,2,2,1]=>11010101=>6 [5,8,2,7,1,6,3,4]=>[4,1,7,2,8,3,6,5]=>[1,2,2,2,1]=>11010101=>6 [2,8,6,7,1,5,3,4]=>[7,1,3,2,8,4,6,5]=>[1,2,2,2,1]=>11010101=>6 [2,8,5,7,1,6,3,4]=>[7,1,4,2,8,3,6,5]=>[1,2,2,2,1]=>11010101=>6 [2,8,1,7,5,6,3,4]=>[7,1,8,2,4,3,6,5]=>[1,2,2,2,1]=>11010101=>6 [1,8,2,7,5,6,3,4]=>[8,1,7,2,4,3,6,5]=>[1,2,2,2,1]=>11010101=>6 [1,8,2,7,4,6,3,5]=>[8,1,7,2,5,3,6,4]=>[1,2,2,2,1]=>11010101=>6 [2,8,1,7,4,6,3,5]=>[7,1,8,2,5,3,6,4]=>[1,2,2,2,1]=>11010101=>6 [2,8,4,7,1,6,3,5]=>[7,1,5,2,8,3,6,4]=>[1,2,2,2,1]=>11010101=>6 [4,8,2,7,1,6,3,5]=>[5,1,7,2,8,3,6,4]=>[1,2,2,2,1]=>11010101=>6 [4,8,1,7,2,6,3,5]=>[5,1,8,2,7,3,6,4]=>[1,2,2,2,1]=>11010101=>6 [1,8,4,7,2,6,3,5]=>[8,1,5,2,7,3,6,4]=>[1,2,2,2,1]=>11010101=>6 [4,8,1,7,5,6,2,3]=>[5,1,8,2,4,3,7,6]=>[1,2,2,2,1]=>11010101=>6 [1,8,4,7,5,6,2,3]=>[8,1,5,2,4,3,7,6]=>[1,2,2,2,1]=>11010101=>6 [1,8,3,7,5,6,2,4]=>[8,1,6,2,4,3,7,5]=>[1,2,2,2,1]=>11010101=>6 [3,8,1,7,5,6,2,4]=>[6,1,8,2,4,3,7,5]=>[1,2,2,2,1]=>11010101=>6 [3,8,1,7,4,6,2,5]=>[6,1,8,2,5,3,7,4]=>[1,2,2,2,1]=>11010101=>6 [1,8,3,7,4,6,2,5]=>[8,1,6,2,5,3,7,4]=>[1,2,2,2,1]=>11010101=>6 [1,8,3,7,2,6,4,5]=>[8,1,6,2,7,3,5,4]=>[1,2,2,2,1]=>11010101=>6 [3,8,1,7,2,6,4,5]=>[6,1,8,2,7,3,5,4]=>[1,2,2,2,1]=>11010101=>6 [3,8,2,7,1,6,4,5]=>[6,1,7,2,8,3,5,4]=>[1,2,2,2,1]=>11010101=>6 [3,8,2,7,4,6,1,5]=>[6,1,7,2,5,3,8,4]=>[1,2,2,2,1]=>11010101=>6 [3,8,2,7,5,6,1,4]=>[6,1,7,2,4,3,8,5]=>[1,2,2,2,1]=>11010101=>6 [4,8,2,7,5,6,1,3]=>[5,1,7,2,4,3,8,6]=>[1,2,2,2,1]=>11010101=>6 [4,8,3,7,5,6,1,2]=>[5,1,6,2,4,3,8,7]=>[1,2,2,2,1]=>11010101=>6 [3,8,4,7,5,6,1,2]=>[6,1,5,2,4,3,8,7]=>[1,2,2,2,1]=>11010101=>6 [2,8,4,7,5,6,1,3]=>[7,1,5,2,4,3,8,6]=>[1,2,2,2,1]=>11010101=>6 [2,8,3,7,5,6,1,4]=>[7,1,6,2,4,3,8,5]=>[1,2,2,2,1]=>11010101=>6 [2,8,3,7,4,6,1,5]=>[7,1,6,2,5,3,8,4]=>[1,2,2,2,1]=>11010101=>6 [2,8,3,7,1,6,4,5]=>[7,1,6,2,8,3,5,4]=>[1,2,2,2,1]=>11010101=>6 [2,8,1,7,3,6,4,5]=>[7,1,8,2,6,3,5,4]=>[1,2,2,2,1]=>11010101=>6 [7,5,2,8,6,4,1,3]=>[2,4,7,1,3,5,8,6]=>[3,4,1]=>10010001=>4 [7,5,1,8,6,2,3,4]=>[2,4,8,1,3,7,6,5]=>[3,3,1,1]=>10010011=>4 [7,4,8,6,1,5,2,3]=>[2,5,1,3,8,4,7,6]=>[2,3,2,1]=>10100101=>6 [7,1,8,4,5,2,6,3]=>[2,8,1,5,4,7,3,6]=>[2,2,2,2]=>10101010=>7 [6,8,1,7,4,2,5,3]=>[3,1,8,2,5,7,4,6]=>[1,2,3,2]=>11010010=>5 [1,6,7,4,2,8,5,3]=>[8,3,2,5,7,1,4,6]=>[1,1,3,3]=>11100100=>3 [1,6,7,3,8,5,2,4]=>[8,3,2,6,1,4,7,5]=>[1,1,2,3,1]=>11101001=>4 [7,1,8,3,5,6,2,4]=>[2,8,1,6,4,3,7,5]=>[2,2,1,2,1]=>10101101=>6 [7,3,8,6,2,5,1,4]=>[2,6,1,3,7,4,8,5]=>[2,3,2,1]=>10100101=>6 [7,4,2,8,6,1,3,5]=>[2,5,7,1,3,8,6,4]=>[3,3,1,1]=>10010011=>4 [7,3,1,8,4,2,5,6]=>[2,6,8,1,5,7,4,3]=>[3,3,1,1]=>10010011=>4 [7,2,8,4,1,5,3,6]=>[2,7,1,5,8,4,6,3]=>[2,3,2,1]=>10100101=>6 [7,2,8,3,5,1,6,4]=>[2,7,1,6,4,8,3,5]=>[2,2,2,2]=>10101010=>7 [7,2,8,3,4,6,1,5]=>[2,7,1,6,5,3,8,4]=>[2,2,1,2,1]=>10101101=>6 [1,5,7,8,2,6,3,4]=>[8,4,2,1,7,3,6,5]=>[1,1,1,2,2,1]=>11110101=>4 [6,2,3,8,5,7,4,1]=>[3,7,6,1,4,2,5,8]=>[2,1,2,3]=>10110100=>5 [6,2,4,8,5,3,1,7]=>[3,7,5,1,4,6,8,2]=>[2,1,4,1]=>10110001=>4 [6,3,1,4,8,5,2,7]=>[3,6,8,5,1,4,7,2]=>[3,1,3,1]=>10011001=>4 [2,6,3,7,8,5,4,1]=>[7,3,6,2,1,4,5,8]=>[1,2,1,4]=>11011000=>3 [2,6,3,7,8,4,5,1]=>[7,3,6,2,1,5,4,8]=>[1,2,1,2,2]=>11011010=>5 [2,4,7,3,5,6,8,1]=>[7,5,2,6,4,3,1,8]=>[1,1,2,1,1,2]=>11101110=>3 [2,4,7,3,6,8,5,1]=>[7,5,2,6,3,1,4,8]=>[1,1,2,1,3]=>11101100=>3 [2,5,3,7,8,1,6,4]=>[7,4,6,2,1,8,3,5]=>[1,2,1,2,2]=>11011010=>5 [3,1,5,4,7,8,2,6]=>[6,8,4,5,2,1,7,3]=>[2,2,1,2,1]=>10101101=>6 [5,3,1,4,8,2,6,7]=>[4,6,8,5,1,7,3,2]=>[3,1,2,1,1]=>10011011=>4 [5,2,4,8,6,1,3,7]=>[4,7,5,1,3,8,6,2]=>[2,1,3,1,1]=>10110011=>4 [5,2,3,8,4,6,7,1]=>[4,7,6,1,5,3,2,8]=>[2,1,2,1,2]=>10110110=>5 [4,8,2,3,6,1,7,5]=>[5,1,7,6,3,8,2,4]=>[1,2,1,2,2]=>11011010=>5 [4,8,2,3,5,7,1,6]=>[5,1,7,6,4,2,8,3]=>[1,2,1,1,2,1]=>11011101=>4 [1,4,7,8,3,6,2,5]=>[8,5,2,1,6,3,7,4]=>[1,1,1,2,2,1]=>11110101=>4 [4,8,1,3,6,7,2,5]=>[5,1,8,6,3,2,7,4]=>[1,2,1,1,2,1]=>11011101=>4 [5,3,8,2,4,7,1,6]=>[4,6,1,7,5,2,8,3]=>[2,2,1,2,1]=>10101101=>6 [5,4,3,8,1,2,7,6]=>[4,5,6,1,8,7,2,3]=>[3,2,1,2]=>10010110=>5 [6,4,2,8,1,3,7,5]=>[3,5,7,1,8,6,2,4]=>[3,2,1,2]=>10010110=>5 [6,3,8,2,5,1,7,4]=>[3,6,1,7,4,8,2,5]=>[2,2,2,2]=>10101010=>7 [6,3,8,1,4,7,2,5]=>[3,6,1,8,5,2,7,4]=>[2,2,1,2,1]=>10101101=>6 [5,8,1,3,6,2,7,4]=>[4,1,8,6,3,7,2,5]=>[1,2,1,2,2]=>11011010=>5 [1,5,7,4,2,6,8,3]=>[8,4,2,5,7,3,1,6]=>[1,1,3,1,2]=>11100110=>3 [5,8,1,4,2,6,3,7]=>[4,1,8,5,7,3,6,2]=>[1,2,2,2,1]=>11010101=>6 [5,8,4,1,2,7,6,3]=>[4,1,5,8,7,2,3,6]=>[1,3,1,3]=>11001100=>3 [6,5,1,2,8,7,3,4]=>[3,4,8,7,1,2,6,5]=>[3,1,3,1]=>10011001=>4 [6,5,3,1,4,2,8,7]=>[3,4,6,8,5,7,1,2]=>[4,2,2]=>10001010=>5 [5,3,1,6,4,2,7,8]=>[4,6,8,3,5,7,2,1]=>[3,3,1,1]=>10010011=>4 [4,6,1,7,5,2,8,3]=>[5,3,8,2,4,7,1,6]=>[1,2,3,2]=>11010010=>5 [4,5,1,7,2,6,3,8]=>[5,4,8,2,7,3,6,1]=>[1,2,2,2,1]=>11010101=>6 [3,5,6,1,2,8,7,4]=>[6,4,3,8,7,1,2,5]=>[1,1,2,1,3]=>11101100=>3 [3,5,7,1,8,6,2,4]=>[6,4,2,8,1,3,7,5]=>[1,1,2,3,1]=>11101001=>4 [3,6,2,7,5,1,8,4]=>[6,3,7,2,4,8,1,5]=>[1,2,3,2]=>11010010=>5 [4,2,5,7,1,8,6,3]=>[5,7,4,2,8,1,3,6]=>[2,1,2,3]=>10110100=>5 [3,4,7,2,8,6,1,5]=>[6,5,2,7,1,3,8,4]=>[1,1,2,3,1]=>11101001=>4 [3,4,5,8,2,7,1,6]=>[6,5,4,1,7,2,8,3]=>[1,1,1,2,2,1]=>11110101=>4 [3,4,6,2,8,1,5,7]=>[6,5,3,7,1,8,4,2]=>[1,1,2,2,1,1]=>11101011=>4 [3,5,2,6,8,1,7,4]=>[6,4,7,3,1,8,2,5]=>[1,2,1,2,2]=>11011010=>5 [4,2,5,6,1,3,8,7]=>[5,7,4,3,8,6,1,2]=>[2,1,2,1,2]=>10110110=>5 [4,3,1,2,5,6,8,7]=>[5,6,8,7,4,3,1,2]=>[3,1,1,1,2]=>10011110=>3 [5,3,6,8,4,7,2,1]=>[4,6,3,1,5,2,7,8]=>[2,1,2,3]=>10110100=>5 [3,7,2,5,4,8,6,1]=>[6,2,7,4,5,1,3,8]=>[1,2,2,3]=>11010100=>5 [8,4,2,5,7,3,6,1]=>[1,5,7,4,2,6,3,8]=>[3,1,2,2]=>10011010=>5 [4,7,2,5,8,3,6,1]=>[5,2,7,4,1,6,3,8]=>[1,2,1,2,2]=>11011010=>5 [5,2,6,8,4,3,7,1]=>[4,7,3,1,5,6,2,8]=>[2,1,3,2]=>10110010=>5 [3,1,6,5,4,8,2,7]=>[6,8,3,4,5,1,7,2]=>[2,3,2,1]=>10100101=>6 [4,1,6,5,8,3,2,7]=>[5,8,3,4,1,6,7,2]=>[2,2,3,1]=>10101001=>6 [5,1,6,8,4,3,2,7]=>[4,8,3,1,5,6,7,2]=>[2,1,4,1]=>10110001=>4 [8,5,4,7,6,3,2,1]=>[1,4,5,2,3,6,7,8]=>[3,5]=>10010000=>3 [5,7,1,8,4,3,2,6]=>[4,2,8,1,5,6,7,3]=>[1,2,4,1]=>11010001=>4 [2,7,1,5,4,3,8,6]=>[7,2,8,4,5,6,1,3]=>[1,2,3,2]=>11010010=>5 [8,2,1,5,4,3,7,6]=>[1,7,8,4,5,6,2,3]=>[3,3,2]=>10010010=>5 [8,4,1,5,7,3,2,6]=>[1,5,8,4,2,6,7,3]=>[3,1,3,1]=>10011001=>4 [8,5,6,7,1,3,2,4]=>[1,4,3,2,8,6,7,5]=>[2,1,2,2,1]=>10110101=>6 [8,4,6,1,7,3,2,5]=>[1,5,3,8,2,6,7,4]=>[2,2,3,1]=>10101001=>6 [8,3,6,1,4,7,2,5]=>[1,6,3,8,5,2,7,4]=>[2,2,1,2,1]=>10101101=>6 [2,7,6,1,4,3,8,5]=>[7,2,3,8,5,6,1,4]=>[1,3,2,2]=>11001010=>5 [6,7,8,5,1,3,2,4]=>[3,2,1,4,8,6,7,5]=>[1,1,3,2,1]=>11100101=>4 [5,7,6,8,2,3,4,1]=>[4,2,3,1,7,6,5,8]=>[1,2,2,1,2]=>11010110=>5 [5,7,2,8,4,3,6,1]=>[4,2,7,1,5,6,3,8]=>[1,2,3,2]=>11010010=>5 [6,7,8,2,4,3,5,1]=>[3,2,1,7,5,6,4,8]=>[1,1,2,2,2]=>11101010=>5 [8,3,6,2,4,7,5,1]=>[1,6,3,7,5,2,4,8]=>[2,2,1,3]=>10101100=>5 [3,7,6,2,4,8,5,1]=>[6,2,3,7,5,1,4,8]=>[1,3,1,3]=>11001100=>3 [5,7,3,8,4,6,2,1]=>[4,2,6,1,5,3,7,8]=>[1,2,2,3]=>11010100=>5 [4,7,3,5,8,6,2,1]=>[5,2,6,4,1,3,7,8]=>[1,2,1,4]=>11011000=>3 [8,7,2,1,4,3,6,5]=>[1,2,7,8,5,6,3,4]=>[4,2,2]=>10001010=>5 [8,7,3,1,4,6,2,5]=>[1,2,6,8,5,3,7,4]=>[4,1,2,1]=>10001101=>4 [8,7,6,3,2,5,4,1]=>[1,2,3,6,7,4,5,8]=>[5,3]=>10000100=>3 [8,7,3,5,1,6,2,4]=>[1,2,6,4,8,3,7,5]=>[3,2,2,1]=>10010101=>6 [8,7,2,5,1,3,6,4]=>[1,2,7,4,8,6,3,5]=>[3,2,1,2]=>10010110=>5 [8,2,6,5,1,3,7,4]=>[1,7,3,4,8,6,2,5]=>[2,3,1,2]=>10100110=>5 [8,4,6,5,7,1,2,3]=>[1,5,3,4,2,8,7,6]=>[2,2,2,1,1]=>10101011=>6 [5,7,6,8,4,1,2,3]=>[4,2,3,1,5,8,7,6]=>[1,2,3,1,1]=>11010011=>4 [4,7,6,5,8,1,2,3]=>[5,2,3,4,1,8,7,6]=>[1,3,2,1,1]=>11001011=>4 [3,7,6,5,1,8,2,4]=>[6,2,3,4,8,1,7,5]=>[1,4,2,1]=>11000101=>4 [8,1,2,3,4,5,6,7,9]=>[2,9,8,7,6,5,4,3,1]=>[2,1,1,1,1,1,1,1]=>101111111=>2 [1,9,2,3,4,5,6,7,8]=>[9,1,8,7,6,5,4,3,2]=>[1,2,1,1,1,1,1,1]=>110111111=>2 [7,8,1,2,3,4,5,6,9]=>[3,2,9,8,7,6,5,4,1]=>[1,2,1,1,1,1,1,1]=>110111111=>2 [1,8,9,2,3,4,5,6,7]=>[9,2,1,8,7,6,5,4,3]=>[1,1,2,1,1,1,1,1]=>111011111=>2 [7,1,8,2,3,4,5,6,9]=>[3,9,2,8,7,6,5,4,1]=>[2,2,1,1,1,1,1]=>101011111=>4 [6,8,1,2,3,4,5,7,9]=>[4,2,9,8,7,6,5,3,1]=>[1,2,1,1,1,1,1,1]=>110111111=>2 [1,8,2,9,3,4,5,6,7]=>[9,2,8,1,7,6,5,4,3]=>[1,2,2,1,1,1,1]=>110101111=>4 [1,7,9,2,3,4,5,6,8]=>[9,3,1,8,7,6,5,4,2]=>[1,1,2,1,1,1,1,1]=>111011111=>2 [3,6,4,8,7,5,1,2]=>[6,3,5,1,2,4,8,7]=>[1,2,4,1]=>11010001=>4 [5,6,4,3,8,7,1,2]=>[4,3,5,6,1,2,8,7]=>[1,3,3,1]=>11001001=>4 [1,6,2,4,7,8,5,3]=>[8,3,7,5,2,1,4,6]=>[1,2,1,1,3]=>11011100=>3 [3,6,2,4,8,1,5,7]=>[6,3,7,5,1,8,4,2]=>[1,2,1,2,1,1]=>11011011=>4 [3,4,7,2,8,1,6,5]=>[6,5,2,7,1,8,3,4]=>[1,1,2,2,2]=>11101010=>5 [1,4,7,2,5,8,6,3]=>[8,5,2,7,4,1,3,6]=>[1,1,2,1,3]=>11101100=>3 [7,3,8,4,5,6,1,2]=>[2,6,1,5,4,3,8,7]=>[2,2,1,2,1]=>10101101=>6 [3,5,6,4,8,7,1,2]=>[6,4,3,5,1,2,8,7]=>[1,1,2,3,1]=>11101001=>4 [4,6,8,5,3,7,1,2]=>[5,3,1,4,6,2,8,7]=>[1,1,3,2,1]=>11100101=>4 [6,8,5,3,4,7,1,2]=>[3,1,4,6,5,2,8,7]=>[1,3,1,2,1]=>11001101=>4 [1,6,5,4,2,8,7,3]=>[8,3,4,5,7,1,2,6]=>[1,4,3]=>11000100=>3 [1,8,5,2,7,3,6,4]=>[8,1,4,7,2,6,3,5]=>[1,3,2,2]=>11001010=>5 [4,2,7,5,1,8,6,3]=>[5,7,2,4,8,1,3,6]=>[2,3,3]=>10100100=>5 [7,8,1,4,2,6,5,3]=>[2,1,8,5,7,3,4,6]=>[1,2,2,3]=>11010100=>5 [1,3,6,4,8,2,5,7]=>[8,6,3,5,1,7,4,2]=>[1,1,2,2,1,1]=>11101011=>4 [6,5,1,3,4,2,8,7]=>[3,4,8,6,5,7,1,2]=>[3,1,2,2]=>10011010=>5 [4,8,5,3,1,7,2,6]=>[5,1,4,6,8,2,7,3]=>[1,4,2,1]=>11000101=>4 [7,4,5,3,2,8,1,6]=>[2,5,4,6,7,1,8,3]=>[2,3,2,1]=>10100101=>6 [5,8,3,6,1,4,2,7]=>[4,1,6,3,8,5,7,2]=>[1,2,2,2,1]=>11010101=>6 [2,5,8,6,4,1,3,7]=>[7,4,1,3,5,8,6,2]=>[1,1,4,1,1]=>11100011=>2 [1,4,6,2,5,8,3,7]=>[8,5,3,7,4,1,6,2]=>[1,1,2,1,2,1]=>11101101=>4 [3,6,2,5,8,1,7,4]=>[6,3,7,4,1,8,2,5]=>[1,2,1,2,2]=>11011010=>5 [1,6,8,7,4,2,3,5]=>[8,3,1,2,5,7,6,4]=>[1,1,4,1,1]=>11100011=>2 [6,1,7,8,2,4,3,5]=>[3,8,2,1,7,5,6,4]=>[2,1,2,2,1]=>10110101=>6 [7,1,8,6,3,4,2,5]=>[2,8,1,3,6,5,7,4]=>[2,3,2,1]=>10100101=>6 [7,2,1,4,5,6,8,3]=>[2,7,8,5,4,3,1,6]=>[3,1,1,1,2]=>10011110=>3 [1,2,8,3,6,5,7,4]=>[8,7,1,6,3,4,2,5]=>[1,1,2,2,2]=>11101010=>5 [6,1,3,2,7,5,8,4]=>[3,8,6,7,2,4,1,5]=>[2,2,2,2]=>10101010=>7 [1,6,3,8,5,7,2,4]=>[8,3,6,1,4,2,7,5]=>[1,2,2,2,1]=>11010101=>6 [2,6,4,1,7,5,8,3]=>[7,3,5,8,2,4,1,6]=>[1,3,2,2]=>11001010=>5 [7,6,5,8,1,4,2,3]=>[2,3,4,1,8,5,7,6]=>[3,2,2,1]=>10010101=>6 [5,8,6,7,3,2,1,4]=>[4,1,3,2,6,7,8,5]=>[1,2,4,1]=>11010001=>4 [1,6,4,3,7,2,8,5]=>[8,3,5,6,2,7,1,4]=>[1,3,2,2]=>11001010=>5 [2,6,3,4,8,7,1,5]=>[7,3,6,5,1,2,8,4]=>[1,2,1,3,1]=>11011001=>4 [7,1,3,4,5,2,8,6]=>[2,8,6,5,4,7,1,3]=>[2,1,1,2,2]=>10111010=>5 [1,8,3,5,4,2,7,6]=>[8,1,6,4,5,7,2,3]=>[1,2,3,2]=>11010010=>5 [4,1,6,3,8,2,7,5]=>[5,8,3,6,1,7,2,4]=>[2,2,2,2]=>10101010=>7 [7,8,2,4,6,3,1,5]=>[2,1,7,5,3,6,8,4]=>[1,2,1,3,1]=>11011001=>4 [3,2,6,4,7,8,1,5]=>[6,7,3,5,2,1,8,4]=>[2,2,1,2,1]=>10101101=>6 [2,8,5,7,4,3,1,6]=>[7,1,4,2,5,6,8,3]=>[1,2,4,1]=>11010001=>4 [7,2,5,8,3,4,1,6]=>[2,7,4,1,6,5,8,3]=>[2,1,2,2,1]=>10110101=>6 [5,3,8,7,1,2,6,4]=>[4,6,1,2,8,7,3,5]=>[2,3,1,2]=>10100110=>5 [6,5,3,8,2,1,7,4]=>[3,4,6,1,7,8,2,5]=>[3,3,2]=>10010010=>5 [7,5,8,4,1,2,3,6]=>[2,4,1,5,8,7,6,3]=>[2,3,1,1,1]=>10100111=>4 [5,8,7,4,1,3,2,6]=>[4,1,2,5,8,6,7,3]=>[1,4,2,1]=>11000101=>4 [3,5,7,8,4,1,2,6]=>[6,4,2,1,5,8,7,3]=>[1,1,1,3,1,1]=>11110011=>2 [1,4,7,5,3,8,2,6]=>[8,5,2,4,6,1,7,3]=>[1,1,3,2,1]=>11100101=>4 [2,4,6,7,3,1,8,5]=>[7,5,3,2,6,8,1,4]=>[1,1,1,3,2]=>11110010=>3 [7,8,4,6,3,1,2,5]=>[2,1,5,3,6,8,7,4]=>[1,2,3,1,1]=>11010011=>4 [2,6,4,5,3,8,1,7]=>[7,3,5,4,6,1,8,2]=>[1,2,2,2,1]=>11010101=>6 [3,6,5,8,4,2,1,7]=>[6,3,4,1,5,7,8,2]=>[1,2,4,1]=>11010001=>4 [5,6,8,4,2,3,1,7]=>[4,3,1,5,7,6,8,2]=>[1,1,3,2,1]=>11100101=>4 [6,8,5,4,3,1,2,7]=>[3,1,4,5,6,8,7,2]=>[1,5,1,1]=>11000011=>2 [6,1,4,2,8,5,7,3]=>[3,8,5,7,1,4,2,6]=>[2,2,2,2]=>10101010=>7 [4,8,6,5,3,2,7,1]=>[5,1,3,4,6,7,2,8]=>[1,5,2]=>11000010=>3 [8,6,5,1,2,4,7,3]=>[1,3,4,8,7,5,2,6]=>[4,1,1,2]=>10001110=>3 [6,7,5,8,2,1,4,3]=>[3,2,4,1,7,8,5,6]=>[1,2,3,2]=>11010010=>5 [1,7,5,8,2,6,4,3]=>[8,2,4,1,7,3,5,6]=>[1,2,2,3]=>11010100=>5 [1,3,8,5,7,6,2,4]=>[8,6,1,4,2,3,7,5]=>[1,1,2,3,1]=>11101001=>4 [6,3,8,5,7,1,2,4]=>[3,6,1,4,2,8,7,5]=>[2,2,2,1,1]=>10101011=>6 [8,3,1,5,6,2,7,4]=>[1,6,8,4,3,7,2,5]=>[3,1,2,2]=>10011010=>5 [6,8,5,2,1,4,7,3]=>[3,1,4,7,8,5,2,6]=>[1,4,1,2]=>11000110=>3 [3,8,2,5,6,1,7,4]=>[6,1,7,4,3,8,2,5]=>[1,2,1,2,2]=>11011010=>5 [2,8,1,5,6,3,7,4]=>[7,1,8,4,3,6,2,5]=>[1,2,1,2,2]=>11011010=>5 [8,1,2,5,6,3,7,4]=>[1,8,7,4,3,6,2,5]=>[2,1,1,2,2]=>10111010=>5 [1,8,2,5,7,6,3,4]=>[8,1,7,4,2,3,6,5]=>[1,2,1,3,1]=>11011001=>4 [5,1,8,6,2,7,3,4]=>[4,8,1,3,7,2,6,5]=>[2,3,2,1]=>10100101=>6 [2,5,8,6,1,7,3,4]=>[7,4,1,3,8,2,6,5]=>[1,1,3,2,1]=>11100101=>4 [8,6,1,5,7,2,3,4]=>[1,3,8,4,2,7,6,5]=>[3,1,2,1,1]=>10011011=>4 [3,8,6,5,7,1,2,4]=>[6,1,3,4,2,8,7,5]=>[1,3,2,1,1]=>11001011=>4 [7,6,5,8,1,2,4,3]=>[2,3,4,1,8,7,5,6]=>[3,2,1,2]=>10010110=>5 [5,1,7,6,8,4,2,3]=>[4,8,2,3,1,5,7,6]=>[2,2,3,1]=>10101001=>6 [5,1,3,7,8,6,2,4]=>[4,8,6,2,1,3,7,5]=>[2,1,1,3,1]=>10111001=>4 [7,2,5,8,1,6,4,3]=>[2,7,4,1,8,3,5,6]=>[2,1,2,3]=>10110100=>5 [3,2,8,5,7,6,1,4]=>[6,7,1,4,2,3,8,5]=>[2,2,3,1]=>10101001=>6 [8,2,1,5,7,6,3,4]=>[1,7,8,4,2,3,6,5]=>[3,1,3,1]=>10011001=>4 [5,2,8,6,1,7,3,4]=>[4,7,1,3,8,2,6,5]=>[2,3,2,1]=>10100101=>6 [1,2,8,6,5,7,3,4]=>[8,7,1,3,4,2,6,5]=>[1,1,3,2,1]=>11100101=>4 [4,2,1,3,6,7,8,5]=>[5,7,8,6,3,2,1,4]=>[3,1,1,1,2]=>10011110=>3 [8,2,5,6,3,7,1,4]=>[1,7,4,3,6,2,8,5]=>[2,1,2,2,1]=>10110101=>6 [7,2,6,5,4,1,8,3]=>[2,7,3,4,5,8,1,6]=>[2,4,2]=>10100010=>5 [6,1,3,5,4,7,8,2]=>[3,8,6,4,5,2,1,7]=>[2,1,2,1,2]=>10110110=>5 [6,1,5,3,4,7,8,2]=>[3,8,4,6,5,2,1,7]=>[2,2,1,1,2]=>10101110=>5 [7,5,6,2,4,1,8,3]=>[2,4,3,7,5,8,1,6]=>[2,2,2,2]=>10101010=>7 [8,5,2,6,3,7,1,4]=>[1,4,7,3,6,2,8,5]=>[3,2,2,1]=>10010101=>6 [4,3,1,2,6,7,8,5]=>[5,6,8,7,3,2,1,4]=>[3,1,1,1,2]=>10011110=>3 [8,1,6,5,7,3,2,4]=>[1,8,3,4,2,6,7,5]=>[2,2,3,1]=>10101001=>6 [3,5,8,6,2,7,1,4]=>[6,4,1,3,7,2,8,5]=>[1,1,3,2,1]=>11100101=>4 [5,8,1,6,3,7,2,4]=>[4,1,8,3,6,2,7,5]=>[1,2,2,2,1]=>11010101=>6 [1,8,5,6,3,7,2,4]=>[8,1,4,3,6,2,7,5]=>[1,2,2,2,1]=>11010101=>6 [1,7,6,5,4,2,8,3]=>[8,2,3,4,5,7,1,6]=>[1,5,2]=>11000010=>3 [5,7,6,1,4,2,8,3]=>[4,2,3,8,5,7,1,6]=>[1,3,2,2]=>11001010=>5 [7,1,4,2,6,5,8,3]=>[2,8,5,7,3,4,1,6]=>[2,2,2,2]=>10101010=>7 [4,1,7,3,5,6,8,2]=>[5,8,2,6,4,3,1,7]=>[2,2,1,1,2]=>10101110=>5 [2,7,4,1,5,6,8,3]=>[7,2,5,8,4,3,1,6]=>[1,3,1,1,2]=>11001110=>3 [5,7,6,4,1,2,8,3]=>[4,2,3,5,8,7,1,6]=>[1,4,1,2]=>11000110=>3 [4,7,6,1,5,2,8,3]=>[5,2,3,8,4,7,1,6]=>[1,3,2,2]=>11001010=>5 [1,7,6,4,5,2,8,3]=>[8,2,3,5,4,7,1,6]=>[1,3,2,2]=>11001010=>5 [1,8,3,6,5,7,2,4]=>[8,1,6,3,4,2,7,5]=>[1,2,2,2,1]=>11010101=>6 [3,8,1,6,5,7,2,4]=>[6,1,8,3,4,2,7,5]=>[1,2,2,2,1]=>11010101=>6 [8,1,3,5,7,6,2,4]=>[1,8,6,4,2,3,7,5]=>[2,1,1,3,1]=>10111001=>4 [7,8,5,4,1,6,2,3]=>[2,1,4,5,8,3,7,6]=>[1,4,2,1]=>11000101=>4 [6,1,5,4,3,7,8,2]=>[3,8,4,5,6,2,1,7]=>[2,3,1,2]=>10100110=>5 [7,5,6,4,2,1,8,3]=>[2,4,3,5,7,8,1,6]=>[2,4,2]=>10100010=>5 [8,3,2,6,5,7,1,4]=>[1,6,7,3,4,2,8,5]=>[3,2,2,1]=>10010101=>6 [7,4,6,2,5,1,8,3]=>[2,5,3,7,4,8,1,6]=>[2,2,2,2]=>10101010=>7 [6,1,4,3,5,7,8,2]=>[3,8,5,6,4,2,1,7]=>[2,2,1,1,2]=>10101110=>5 [6,1,3,4,5,7,8,2]=>[3,8,6,5,4,2,1,7]=>[2,1,1,1,1,2]=>10111110=>3 [7,2,6,4,5,1,8,3]=>[2,7,3,5,4,8,1,6]=>[2,2,2,2]=>10101010=>7 [8,2,3,6,5,7,1,4]=>[1,7,6,3,4,2,8,5]=>[2,1,2,2,1]=>10110101=>6 [5,4,7,3,6,8,1,2]=>[4,5,2,6,3,1,8,7]=>[2,2,1,2,1]=>10101101=>6 [3,4,7,8,5,6,1,2]=>[6,5,2,1,4,3,8,7]=>[1,1,1,2,2,1]=>11110101=>4 [3,4,7,2,5,1,6,8]=>[6,5,2,7,4,8,3,1]=>[1,1,2,2,1,1]=>11101011=>4 [1,4,7,2,5,8,3,6]=>[8,5,2,7,4,1,6,3]=>[1,1,2,1,2,1]=>11101101=>4 [3,6,2,4,7,1,5,8]=>[6,3,7,5,2,8,4,1]=>[1,2,1,2,1,1]=>11011011=>4 [6,8,3,4,5,7,1,2]=>[3,1,6,5,4,2,8,7]=>[1,2,1,1,2,1]=>11011101=>4 [4,3,6,7,5,8,1,2]=>[5,6,3,2,4,1,8,7]=>[2,1,2,2,1]=>10110101=>6 [6,3,7,5,8,4,1,2]=>[3,6,2,4,1,5,8,7]=>[2,2,3,1]=>10101001=>6 [7,3,8,6,4,5,1,2]=>[2,6,1,3,5,4,8,7]=>[2,3,2,1]=>10100101=>6 [3,2,7,6,5,1,4,8]=>[6,7,2,3,4,8,5,1]=>[2,4,1,1]=>10100011=>4 [1,2,7,6,5,8,3,4]=>[8,7,2,3,4,1,6,5]=>[1,1,3,2,1]=>11100101=>4 [4,8,2,6,1,5,3,7]=>[5,1,7,3,8,4,6,2]=>[1,2,2,2,1]=>11010101=>6 [2,3,8,6,4,1,5,7]=>[7,6,1,3,5,8,4,2]=>[1,1,4,1,1]=>11100011=>2 [4,3,6,2,5,1,8,7]=>[5,6,3,7,4,8,1,2]=>[2,2,2,2]=>10101010=>7 [7,8,3,2,5,1,4,6]=>[2,1,6,7,4,8,5,3]=>[1,3,2,1,1]=>11001011=>4 [7,8,1,2,5,6,3,4]=>[2,1,8,7,4,3,6,5]=>[1,2,1,1,2,1]=>11011101=>4 [4,1,6,2,5,7,3,8]=>[5,8,3,7,4,2,6,1]=>[2,2,1,2,1]=>10101101=>6 [6,1,2,5,8,7,3,4]=>[3,8,7,4,1,2,6,5]=>[2,1,1,3,1]=>10111001=>4 [2,1,8,6,4,7,3,5]=>[7,8,1,3,5,2,6,4]=>[2,3,2,1]=>10100101=>6 [7,1,3,6,8,4,2,5]=>[2,8,6,3,1,5,7,4]=>[2,1,1,3,1]=>10111001=>4 [1,8,3,6,7,4,5,2]=>[8,1,6,3,2,5,4,7]=>[1,2,1,2,2]=>11011010=>5 [7,1,5,8,3,6,2,4]=>[2,8,4,1,6,3,7,5]=>[2,1,2,2,1]=>10110101=>6 [5,1,8,7,2,3,6,4]=>[4,8,1,2,7,6,3,5]=>[2,3,1,2]=>10100110=>5 [6,1,5,7,4,2,8,3]=>[3,8,4,2,5,7,1,6]=>[2,1,3,2]=>10110010=>5 [3,1,6,4,7,2,5,8]=>[6,8,3,5,2,7,4,1]=>[2,2,2,1,1]=>10101011=>6 [2,4,7,5,1,8,3,6]=>[7,5,2,4,8,1,6,3]=>[1,1,3,2,1]=>11100101=>4 [6,5,7,1,4,2,3,8]=>[3,4,2,8,5,7,6,1]=>[2,2,2,1,1]=>10101011=>6 [5,6,8,1,3,2,4,7]=>[4,3,1,8,6,7,5,2]=>[1,1,2,2,1,1]=>11101011=>4 [6,8,5,1,3,4,2,7]=>[3,1,4,8,6,5,7,2]=>[1,3,1,2,1]=>11001101=>4 [2,8,3,4,5,1,7,6]=>[7,1,6,5,4,8,2,3]=>[1,2,1,2,2]=>11011010=>5 [6,2,4,3,1,5,7,8]=>[3,7,5,6,8,4,2,1]=>[2,3,1,1,1]=>10100111=>4 [4,2,8,3,1,7,5,6]=>[5,7,1,6,8,2,4,3]=>[2,3,2,1]=>10100101=>6 [1,3,7,4,8,2,5,6]=>[8,6,2,5,1,7,4,3]=>[1,1,2,2,1,1]=>11101011=>4 [5,3,7,4,1,6,2,8]=>[4,6,2,5,8,3,7,1]=>[2,3,2,1]=>10100101=>6 [2,4,7,3,6,1,8,5]=>[7,5,2,6,3,8,1,4]=>[1,1,2,2,2]=>11101010=>5 [5,8,7,6,3,1,2,4]=>[4,1,2,3,6,8,7,5]=>[1,5,1,1]=>11000011=>2 [7,5,6,8,1,4,3,2]=>[2,4,3,1,8,5,6,7]=>[2,1,2,3]=>10110100=>5 [2,4,7,1,6,5,3,8]=>[7,5,2,8,3,4,6,1]=>[1,1,2,3,1]=>11101001=>4 [1,2,7,8,5,4,3,6]=>[8,7,2,1,4,5,6,3]=>[1,1,1,4,1]=>11110001=>2 [6,3,1,2,8,4,5,7]=>[3,6,8,7,1,5,4,2]=>[3,1,2,1,1]=>10011011=>4 [4,2,1,3,6,5,8,7]=>[5,7,8,6,3,4,1,2]=>[3,1,2,2]=>10011010=>5 [2,8,1,4,5,6,3,7]=>[7,1,8,5,4,3,6,2]=>[1,2,1,1,2,1]=>11011101=>4 [7,2,1,5,4,6,3,8]=>[2,7,8,4,5,3,6,1]=>[3,2,2,1]=>10010101=>6 [4,2,6,1,8,5,3,7]=>[5,7,3,8,1,4,6,2]=>[2,2,3,1]=>10101001=>6 [7,8,2,1,4,5,3,6]=>[2,1,7,8,5,4,6,3]=>[1,3,1,2,1]=>11001101=>4 [7,8,4,1,5,3,6,2]=>[2,1,5,8,4,6,3,7]=>[1,3,2,2]=>11001010=>5 [3,4,6,1,5,8,7,2]=>[6,5,3,8,4,1,2,7]=>[1,1,2,1,3]=>11101100=>3 [7,5,1,6,4,3,8,2]=>[2,4,8,3,5,6,1,7]=>[3,3,2]=>10010010=>5 [5,8,1,6,3,4,7,2]=>[4,1,8,3,6,5,2,7]=>[1,2,2,1,2]=>11010110=>5 [6,5,1,8,2,7,4,3]=>[3,4,8,1,7,2,5,6]=>[3,2,3]=>10010100=>5 [6,8,1,7,5,2,3,4]=>[3,1,8,2,4,7,6,5]=>[1,2,3,1,1]=>11010011=>4 [7,6,1,8,5,3,2,4]=>[2,3,8,1,4,6,7,5]=>[3,4,1]=>10010001=>4 [5,6,1,7,4,8,2,3]=>[4,3,8,2,5,1,7,6]=>[1,2,2,2,1]=>11010101=>6 [3,6,1,5,7,4,2,8]=>[6,3,8,4,2,5,7,1]=>[1,2,1,3,1]=>11011001=>4 [2,5,6,1,7,4,8,3]=>[7,4,3,8,2,5,1,6]=>[1,1,2,2,2]=>11101010=>5 [3,1,7,5,6,4,8,2]=>[6,8,2,4,3,5,1,7]=>[2,2,2,2]=>10101010=>7 [5,1,7,6,4,8,3,2]=>[4,8,2,3,5,1,6,7]=>[2,3,3]=>10100100=>5 [6,1,7,8,5,3,4,2]=>[3,8,2,1,4,6,5,7]=>[2,1,3,2]=>10110010=>5 [7,1,8,6,5,4,2,3]=>[2,8,1,3,4,5,7,6]=>[2,5,1]=>10100001=>4 [2,6,5,7,3,4,8,1]=>[7,3,4,2,6,5,1,8]=>[1,2,2,1,2]=>11010110=>5 [1,6,4,7,5,8,2,3]=>[8,3,5,2,4,1,7,6]=>[1,2,2,2,1]=>11010101=>6 [8,5,3,6,2,7,4,1]=>[1,4,6,3,7,2,5,8]=>[3,2,3]=>10010100=>5 [1,3,7,4,6,8,2,5]=>[8,6,2,5,3,1,7,4]=>[1,1,2,1,2,1]=>11101101=>4 [4,7,5,6,3,2,8,1]=>[5,2,4,3,6,7,1,8]=>[1,2,3,2]=>11010010=>5 [1,7,6,5,4,8,2,3]=>[8,2,3,4,5,1,7,6]=>[1,4,2,1]=>11000101=>4 [8,1,6,5,7,2,4,3]=>[1,8,3,4,2,7,5,6]=>[2,2,2,2]=>10101010=>7 [1,2,7,6,8,3,4,5]=>[8,7,2,3,1,6,5,4]=>[1,1,2,2,1,1]=>11101011=>4 [6,1,7,5,3,8,2,4]=>[3,8,2,4,6,1,7,5]=>[2,3,2,1]=>10100101=>6 [2,1,7,5,6,8,3,4]=>[7,8,2,4,3,1,6,5]=>[2,2,1,2,1]=>10101101=>6 [5,4,1,7,6,8,2,3]=>[4,5,8,2,3,1,7,6]=>[3,2,2,1]=>10010101=>6 [4,8,5,6,2,7,3,1]=>[5,1,4,3,7,2,6,8]=>[1,2,2,3]=>11010100=>5 [3,8,6,4,2,7,5,1]=>[6,1,3,5,7,2,4,8]=>[1,4,3]=>11000100=>3 [7,8,5,2,4,6,3,1]=>[2,1,4,7,5,3,6,8]=>[1,3,1,3]=>11001100=>3 [2,8,6,3,7,4,5,1]=>[7,1,3,6,2,5,4,8]=>[1,3,2,2]=>11001010=>5 [7,8,1,6,2,4,5,3]=>[2,1,8,3,7,5,4,6]=>[1,2,2,1,2]=>11010110=>5 [6,8,1,4,7,2,5,3]=>[3,1,8,5,2,7,4,6]=>[1,2,1,2,2]=>11011010=>5 [3,8,4,1,7,2,6,5]=>[6,1,5,8,2,7,3,4]=>[1,3,2,2]=>11001010=>5 [5,4,7,1,8,3,2,6]=>[4,5,2,8,1,6,7,3]=>[2,2,3,1]=>10101001=>6 [3,7,4,1,8,5,2,6]=>[6,2,5,8,1,4,7,3]=>[1,3,3,1]=>11001001=>4 [6,7,1,4,8,3,2,5]=>[3,2,8,5,1,6,7,4]=>[1,2,1,3,1]=>11011001=>4 [2,7,1,8,4,5,3,6]=>[7,2,8,1,5,4,6,3]=>[1,2,2,2,1]=>11010101=>6 [6,1,2,8,4,3,5,7]=>[3,8,7,1,5,6,4,2]=>[2,1,3,1,1]=>10110011=>4 [6,5,1,4,3,8,2,7]=>[3,4,8,5,6,1,7,2]=>[3,2,2,1]=>10010101=>6 [1,6,2,5,8,3,4,7]=>[8,3,7,4,1,6,5,2]=>[1,2,1,2,1,1]=>11011011=>4 [8,5,1,3,7,2,6,4]=>[1,4,8,6,2,7,3,5]=>[3,1,2,2]=>10011010=>5 [8,4,2,1,7,3,6,5]=>[1,5,7,8,2,6,3,4]=>[4,2,2]=>10001010=>5 [7,4,2,1,8,5,3,6]=>[2,5,7,8,1,4,6,3]=>[4,3,1]=>10001001=>4 [1,5,4,2,8,3,6,7]=>[8,4,5,7,1,6,3,2]=>[1,3,2,1,1]=>11001011=>4 [6,4,3,1,5,8,2,7]=>[3,5,6,8,4,1,7,2]=>[4,1,2,1]=>10001101=>4 [3,7,6,8,4,5,2,1]=>[6,2,3,1,5,4,7,8]=>[1,2,2,3]=>11010100=>5 [2,7,6,8,5,3,4,1]=>[7,2,3,1,4,6,5,8]=>[1,2,3,2]=>11010010=>5 [1,7,6,8,5,4,2,3]=>[8,2,3,1,4,5,7,6]=>[1,2,4,1]=>11010001=>4 [1,4,8,6,7,5,2,3]=>[8,5,1,3,2,4,7,6]=>[1,1,2,3,1]=>11101001=>4 [2,4,8,6,7,3,5,1]=>[7,5,1,3,2,6,4,8]=>[1,1,2,2,2]=>11101010=>5 [7,3,8,5,4,6,2,1]=>[2,6,1,4,5,3,7,8]=>[2,3,3]=>10100100=>5 [3,4,8,5,6,7,2,1]=>[6,5,1,4,3,2,7,8]=>[1,1,2,1,3]=>11101100=>3 [6,3,5,8,4,7,2,1]=>[3,6,4,1,5,2,7,8]=>[2,1,2,3]=>10110100=>5 [5,4,3,8,6,7,2,1]=>[4,5,6,1,3,2,7,8]=>[3,2,3]=>10010100=>5 [5,4,2,8,7,3,6,1]=>[4,5,7,1,2,6,3,8]=>[3,3,2]=>10010010=>5 [6,2,5,8,7,3,4,1]=>[3,7,4,1,2,6,5,8]=>[2,1,3,2]=>10110010=>5 [3,2,8,5,7,4,6,1]=>[6,7,1,4,2,5,3,8]=>[2,2,2,2]=>10101010=>7 [1,3,8,7,5,6,2,4]=>[8,6,1,2,4,3,7,5]=>[1,1,3,2,1]=>11100101=>4 [2,1,8,7,4,6,3,5]=>[7,8,1,2,5,3,6,4]=>[2,3,2,1]=>10100101=>6 [3,1,8,5,7,6,2,4]=>[6,8,1,4,2,3,7,5]=>[2,2,3,1]=>10101001=>6 [6,1,5,8,7,4,2,3]=>[3,8,4,1,2,5,7,6]=>[2,1,4,1]=>10110001=>4 [5,4,1,8,7,6,2,3]=>[4,5,8,1,2,3,7,6]=>[3,4,1]=>10010001=>4 [5,8,6,7,4,3,2,1]=>[4,1,3,2,5,6,7,8]=>[1,2,5]=>11010000=>3 [4,8,7,5,6,3,2,1]=>[5,1,2,4,3,6,7,8]=>[1,3,4]=>11001000=>3 [4,2,1,6,3,5,8,7]=>[5,7,8,3,6,4,1,2]=>[3,2,1,2]=>10010110=>5 [6,2,1,4,3,5,8,7]=>[3,7,8,5,6,4,1,2]=>[3,2,1,2]=>10010110=>5 [6,2,1,4,3,8,5,7]=>[3,7,8,5,6,1,4,2]=>[3,2,2,1]=>10010101=>6 [8,2,1,4,3,6,5,7]=>[1,7,8,5,6,3,4,2]=>[3,2,2,1]=>10010101=>6 [8,2,4,1,3,6,5,7]=>[1,7,5,8,6,3,4,2]=>[2,2,1,2,1]=>10101101=>6 [6,2,4,1,3,8,5,7]=>[3,7,5,8,6,1,4,2]=>[2,2,1,2,1]=>10101101=>6 [6,2,4,1,3,5,8,7]=>[3,7,5,8,6,4,1,2]=>[2,2,1,1,2]=>10101110=>5 [4,2,6,1,3,5,8,7]=>[5,7,3,8,6,4,1,2]=>[2,2,1,1,2]=>10101110=>5 [2,1,6,4,3,5,8,7]=>[7,8,3,5,6,4,1,2]=>[2,3,1,2]=>10100110=>5 [2,6,1,4,3,5,8,7]=>[7,3,8,5,6,4,1,2]=>[1,2,2,1,2]=>11010110=>5 [2,6,4,1,3,5,8,7]=>[7,3,5,8,6,4,1,2]=>[1,3,1,1,2]=>11001110=>3 [4,6,2,1,3,5,8,7]=>[5,3,7,8,6,4,1,2]=>[1,3,1,1,2]=>11001110=>3 [6,4,2,1,3,5,8,7]=>[3,5,7,8,6,4,1,2]=>[4,1,1,2]=>10001110=>3 [8,4,2,1,3,6,5,7]=>[1,5,7,8,6,3,4,2]=>[4,1,2,1]=>10001101=>4 [8,4,2,1,6,3,5,7]=>[1,5,7,8,3,6,4,2]=>[4,2,1,1]=>10001011=>4 [6,4,2,1,8,3,5,7]=>[3,5,7,8,1,6,4,2]=>[4,2,1,1]=>10001011=>4 [4,6,2,1,8,3,5,7]=>[5,3,7,8,1,6,4,2]=>[1,3,2,1,1]=>11001011=>4 [2,6,1,4,3,8,5,7]=>[7,3,8,5,6,1,4,2]=>[1,2,2,2,1]=>11010101=>6 [2,1,6,4,3,8,5,7]=>[7,8,3,5,6,1,4,2]=>[2,3,2,1]=>10100101=>6 [2,1,8,4,3,6,5,7]=>[7,8,1,5,6,3,4,2]=>[2,3,2,1]=>10100101=>6 [2,8,1,4,3,6,5,7]=>[7,1,8,5,6,3,4,2]=>[1,2,2,2,1]=>11010101=>6 [2,8,4,1,3,6,5,7]=>[7,1,5,8,6,3,4,2]=>[1,3,1,2,1]=>11001101=>4 [4,8,2,1,3,6,5,7]=>[5,1,7,8,6,3,4,2]=>[1,3,1,2,1]=>11001101=>4 [4,8,2,1,6,3,5,7]=>[5,1,7,8,3,6,4,2]=>[1,3,2,1,1]=>11001011=>4 [6,8,2,1,4,3,5,7]=>[3,1,7,8,5,6,4,2]=>[1,3,2,1,1]=>11001011=>4 [8,6,2,1,4,3,5,7]=>[1,3,7,8,5,6,4,2]=>[4,2,1,1]=>10001011=>4 [2,8,1,4,6,3,5,7]=>[7,1,8,5,3,6,4,2]=>[1,2,1,2,1,1]=>11011011=>4 [2,1,8,4,6,3,5,7]=>[7,8,1,5,3,6,4,2]=>[2,2,2,1,1]=>10101011=>6 [2,1,6,4,8,3,5,7]=>[7,8,3,5,1,6,4,2]=>[2,2,2,1,1]=>10101011=>6 [2,6,1,4,8,3,5,7]=>[7,3,8,5,1,6,4,2]=>[1,2,1,2,1,1]=>11011011=>4 [2,6,4,1,8,3,5,7]=>[7,3,5,8,1,6,4,2]=>[1,3,2,1,1]=>11001011=>4 [2,6,4,8,1,3,5,7]=>[7,3,5,1,8,6,4,2]=>[1,2,2,1,1,1]=>11010111=>4 [4,6,2,8,1,3,5,7]=>[5,3,7,1,8,6,4,2]=>[1,2,2,1,1,1]=>11010111=>4 [4,2,6,1,3,8,5,7]=>[5,7,3,8,6,1,4,2]=>[2,2,1,2,1]=>10101101=>6 [4,2,6,1,8,3,5,7]=>[5,7,3,8,1,6,4,2]=>[2,2,2,1,1]=>10101011=>6 [6,2,4,1,8,3,5,7]=>[3,7,5,8,1,6,4,2]=>[2,2,2,1,1]=>10101011=>6 [8,2,4,1,6,3,5,7]=>[1,7,5,8,3,6,4,2]=>[2,2,2,1,1]=>10101011=>6 [8,2,1,4,6,3,5,7]=>[1,7,8,5,3,6,4,2]=>[3,1,2,1,1]=>10011011=>4 [6,2,1,4,8,3,5,7]=>[3,7,8,5,1,6,4,2]=>[3,1,2,1,1]=>10011011=>4 [4,2,1,6,8,3,5,7]=>[5,7,8,3,1,6,4,2]=>[3,1,2,1,1]=>10011011=>4 [4,2,1,6,3,8,5,7]=>[5,7,8,3,6,1,4,2]=>[3,2,2,1]=>10010101=>6 [4,2,1,3,6,8,5,7]=>[5,7,8,6,3,1,4,2]=>[3,1,1,2,1]=>10011101=>4 [2,1,4,3,8,6,5,7]=>[7,8,5,6,1,3,4,2]=>[2,2,3,1]=>10101001=>6 [2,4,1,3,8,6,5,7]=>[7,5,8,6,1,3,4,2]=>[1,2,1,3,1]=>11011001=>4 [4,2,1,3,8,6,5,7]=>[5,7,8,6,1,3,4,2]=>[3,1,3,1]=>10011001=>4 [4,2,1,8,3,6,5,7]=>[5,7,8,1,6,3,4,2]=>[3,2,2,1]=>10010101=>6 [4,2,1,8,6,3,5,7]=>[5,7,8,1,3,6,4,2]=>[3,3,1,1]=>10010011=>4 [6,2,1,8,4,3,5,7]=>[3,7,8,1,5,6,4,2]=>[3,3,1,1]=>10010011=>4 [8,2,1,6,4,3,5,7]=>[1,7,8,3,5,6,4,2]=>[3,3,1,1]=>10010011=>4 [8,2,6,1,4,3,5,7]=>[1,7,3,8,5,6,4,2]=>[2,2,2,1,1]=>10101011=>6 [6,2,8,1,4,3,5,7]=>[3,7,1,8,5,6,4,2]=>[2,2,2,1,1]=>10101011=>6 [4,2,8,1,6,3,5,7]=>[5,7,1,8,3,6,4,2]=>[2,2,2,1,1]=>10101011=>6 [4,2,8,1,3,6,5,7]=>[5,7,1,8,6,3,4,2]=>[2,2,1,2,1]=>10101101=>6 [2,4,8,1,3,6,5,7]=>[7,5,1,8,6,3,4,2]=>[1,1,2,1,2,1]=>11101101=>4 [2,4,1,8,3,6,5,7]=>[7,5,8,1,6,3,4,2]=>[1,2,2,2,1]=>11010101=>6 [2,1,4,8,3,6,5,7]=>[7,8,5,1,6,3,4,2]=>[2,1,2,2,1]=>10110101=>6 [2,1,4,8,6,3,5,7]=>[7,8,5,1,3,6,4,2]=>[2,1,3,1,1]=>10110011=>4 [2,4,8,1,6,3,5,7]=>[7,5,1,8,3,6,4,2]=>[1,1,2,2,1,1]=>11101011=>4 [2,4,8,6,1,3,5,7]=>[7,5,1,3,8,6,4,2]=>[1,1,3,1,1,1]=>11100111=>2 [4,2,8,6,1,3,5,7]=>[5,7,1,3,8,6,4,2]=>[2,3,1,1,1]=>10100111=>4 [6,2,8,4,1,3,5,7]=>[3,7,1,5,8,6,4,2]=>[2,3,1,1,1]=>10100111=>4 [8,2,6,4,1,3,5,7]=>[1,7,3,5,8,6,4,2]=>[2,3,1,1,1]=>10100111=>4 [8,4,6,2,1,3,5,7]=>[1,5,3,7,8,6,4,2]=>[2,3,1,1,1]=>10100111=>4 [6,4,8,2,1,3,5,7]=>[3,5,1,7,8,6,4,2]=>[2,3,1,1,1]=>10100111=>4 [4,6,8,2,1,3,5,7]=>[5,3,1,7,8,6,4,2]=>[1,1,3,1,1,1]=>11100111=>2 [2,6,8,4,1,3,5,7]=>[7,3,1,5,8,6,4,2]=>[1,1,3,1,1,1]=>11100111=>2 [2,6,8,1,4,3,5,7]=>[7,3,1,8,5,6,4,2]=>[1,1,2,2,1,1]=>11101011=>4 [2,6,1,8,4,3,5,7]=>[7,3,8,1,5,6,4,2]=>[1,2,3,1,1]=>11010011=>4 [2,1,6,8,4,3,5,7]=>[7,8,3,1,5,6,4,2]=>[2,1,3,1,1]=>10110011=>4 [2,1,8,6,4,3,5,7]=>[7,8,1,3,5,6,4,2]=>[2,4,1,1]=>10100011=>4 [2,8,1,6,4,3,5,7]=>[7,1,8,3,5,6,4,2]=>[1,2,3,1,1]=>11010011=>4 [2,8,6,4,1,3,5,7]=>[7,1,3,5,8,6,4,2]=>[1,4,1,1,1]=>11000111=>2 [4,8,6,2,1,3,5,7]=>[5,1,3,7,8,6,4,2]=>[1,4,1,1,1]=>11000111=>2 [6,8,4,2,1,3,5,7]=>[3,1,5,7,8,6,4,2]=>[1,4,1,1,1]=>11000111=>2 [3,2,6,1,5,4,8,7]=>[6,7,3,8,4,5,1,2]=>[2,2,2,2]=>10101010=>7 [5,2,4,3,8,1,7,6]=>[4,7,5,6,1,8,2,3]=>[2,2,2,2]=>10101010=>7 [6,2,4,1,5,3,8,7]=>[3,7,5,8,4,6,1,2]=>[2,2,2,2]=>10101010=>7 [4,3,6,1,5,2,8,7]=>[5,6,3,8,4,7,1,2]=>[2,2,2,2]=>10101010=>7 [4,3,5,2,8,1,7,6]=>[5,6,4,7,1,8,2,3]=>[2,2,2,2]=>10101010=>7 [4,3,7,2,6,5,8,1]=>[5,6,2,7,3,4,1,8]=>[2,2,2,2]=>10101010=>7 [4,3,8,2,6,1,7,5]=>[5,6,1,7,3,8,2,4]=>[2,2,2,2]=>10101010=>7 [4,3,8,1,7,2,6,5]=>[5,6,1,8,2,7,3,4]=>[2,2,2,2]=>10101010=>7 [4,3,8,1,5,2,7,6]=>[5,6,1,8,4,7,2,3]=>[2,2,2,2]=>10101010=>7 [5,1,8,3,4,2,7,6]=>[4,8,1,6,5,7,2,3]=>[2,2,2,2]=>10101010=>7 [5,4,8,1,3,2,7,6]=>[4,5,1,8,6,7,2,3]=>[2,2,2,2]=>10101010=>7 [2,1,5,4,8,3,7,6]=>[7,8,4,5,1,6,2,3]=>[2,2,2,2]=>10101010=>7 [5,1,7,6,8,3,4,2]=>[4,8,2,3,1,6,5,7]=>[2,2,2,2]=>10101010=>7 [4,3,7,6,8,1,5,2]=>[5,6,2,3,1,8,4,7]=>[2,2,2,2]=>10101010=>7 [4,3,7,1,8,5,6,2]=>[5,6,2,8,1,4,3,7]=>[2,2,2,2]=>10101010=>7 [4,3,6,5,8,1,7,2]=>[5,6,3,4,1,8,2,7]=>[2,2,2,2]=>10101010=>7 [6,3,5,4,7,2,8,1]=>[3,6,4,5,2,7,1,8]=>[2,2,2,2]=>10101010=>7 [6,3,5,4,8,1,7,2]=>[3,6,4,5,1,8,2,7]=>[2,2,2,2]=>10101010=>7 [7,1,6,3,8,4,5,2]=>[2,8,3,6,1,5,4,7]=>[2,2,2,2]=>10101010=>7 [7,4,6,5,8,1,3,2]=>[2,5,3,4,1,8,6,7]=>[2,2,2,2]=>10101010=>7 [2,1,8,4,6,3,7,5]=>[7,8,1,5,3,6,2,4]=>[2,2,2,2]=>10101010=>7 [8,4,6,1,3,2,7,5]=>[1,5,3,8,6,7,2,4]=>[2,2,2,2]=>10101010=>7 [8,1,6,3,4,2,7,5]=>[1,8,3,6,5,7,2,4]=>[2,2,2,2]=>10101010=>7 [8,1,6,3,7,2,5,4]=>[1,8,3,6,2,7,4,5]=>[2,2,2,2]=>10101010=>7 [8,3,5,1,7,2,6,4]=>[1,6,4,8,2,7,3,5]=>[2,2,2,2]=>10101010=>7 [8,3,5,2,6,1,7,4]=>[1,6,4,7,3,8,2,5]=>[2,2,2,2]=>10101010=>7 [7,3,5,2,6,4,8,1]=>[2,6,4,7,3,5,1,8]=>[2,2,2,2]=>10101010=>7 [8,2,6,3,5,1,7,4]=>[1,7,3,6,4,8,2,5]=>[2,2,2,2]=>10101010=>7 [8,2,7,1,5,3,6,4]=>[1,7,2,8,4,6,3,5]=>[2,2,2,2]=>10101010=>7 [8,2,4,1,5,3,7,6]=>[1,7,5,8,4,6,2,3]=>[2,2,2,2]=>10101010=>7 [8,2,4,1,7,3,6,5]=>[1,7,5,8,2,6,3,4]=>[2,2,2,2]=>10101010=>7 [8,2,4,3,6,1,7,5]=>[1,7,5,6,3,8,2,4]=>[2,2,2,2]=>10101010=>7 [3,2,8,4,6,1,7,5]=>[6,7,1,5,3,8,2,4]=>[2,2,2,2]=>10101010=>7 [3,2,8,1,5,4,7,6]=>[6,7,1,8,4,5,2,3]=>[2,2,2,2]=>10101010=>7 [3,2,7,6,8,1,5,4]=>[6,7,2,3,1,8,4,5]=>[2,2,2,2]=>10101010=>7 [3,2,7,1,8,5,6,4]=>[6,7,2,8,1,4,3,5]=>[2,2,2,2]=>10101010=>7 [3,2,6,5,8,1,7,4]=>[6,7,3,4,1,8,2,5]=>[2,2,2,2]=>10101010=>7 [6,5,7,2,4,3,8,1]=>[3,4,2,7,5,6,1,8]=>[2,2,2,2]=>10101010=>7 [6,5,8,2,4,1,7,3]=>[3,4,1,7,5,8,2,6]=>[2,2,2,2]=>10101010=>7 [7,2,4,1,8,5,6,3]=>[2,7,5,8,1,4,3,6]=>[2,2,2,2]=>10101010=>7 [7,6,8,2,4,1,5,3]=>[2,3,1,7,5,8,4,6]=>[2,2,2,2]=>10101010=>7 [7,6,8,1,5,2,4,3]=>[2,3,1,8,4,7,5,6]=>[2,2,2,2]=>10101010=>7 [2,1,7,3,8,5,6,4]=>[7,8,2,6,1,4,3,5]=>[2,2,2,2]=>10101010=>7 [7,1,3,2,8,5,6,4]=>[2,8,6,7,1,4,3,5]=>[2,2,2,2]=>10101010=>7 [7,1,8,5,6,2,4,3]=>[2,8,1,4,3,7,5,6]=>[2,2,2,2]=>10101010=>7 [7,1,8,2,6,4,5,3]=>[2,8,1,7,3,5,4,6]=>[2,2,2,2]=>10101010=>7 [7,2,8,1,5,4,6,3]=>[2,7,1,8,4,5,3,6]=>[2,2,2,2]=>10101010=>7 [6,2,7,4,5,3,8,1]=>[3,7,2,5,4,6,1,8]=>[2,2,2,2]=>10101010=>7 [5,4,7,2,6,3,8,1]=>[4,5,2,7,3,6,1,8]=>[2,2,2,2]=>10101010=>7 [5,4,8,2,6,1,7,3]=>[4,5,1,7,3,8,2,6]=>[2,2,2,2]=>10101010=>7 [6,5,8,1,7,2,4,3]=>[3,4,1,8,2,7,5,6]=>[2,2,2,2]=>10101010=>7 [2,1,6,5,8,3,7,4]=>[7,8,3,4,1,6,2,5]=>[2,2,2,2]=>10101010=>7 [6,5,7,4,8,1,3,2]=>[3,4,2,5,1,8,6,7]=>[2,2,2,2]=>10101010=>7 [6,5,7,1,8,3,4,2]=>[3,4,2,8,1,6,5,7]=>[2,2,2,2]=>10101010=>7 [6,1,7,4,8,3,5,2]=>[3,8,2,5,1,6,4,7]=>[2,2,2,2]=>10101010=>7 [5,4,7,1,8,3,6,2]=>[4,5,2,8,1,6,3,7]=>[2,2,2,2]=>10101010=>7 [5,4,6,3,8,1,7,2]=>[4,5,3,6,1,8,2,7]=>[2,2,2,2]=>10101010=>7 [2,8,3,1,5,4,6,7]=>[7,1,6,8,4,5,3,2]=>[1,3,2,1,1]=>11001011=>4 [2,5,3,4,7,1,8,6]=>[7,4,6,5,2,8,1,3]=>[1,2,1,2,2]=>11011010=>5 [2,4,8,3,5,7,6,1]=>[7,5,1,6,4,2,3,8]=>[1,1,2,1,3]=>11101100=>3 [4,2,5,3,1,8,6,7]=>[5,7,4,6,8,1,3,2]=>[2,3,2,1]=>10100101=>6 [4,2,1,8,5,3,6,7]=>[5,7,8,1,4,6,3,2]=>[3,3,1,1]=>10010011=>4 [5,4,1,3,8,2,6,7]=>[4,5,8,6,1,7,3,2]=>[3,1,2,1,1]=>10011011=>4 [5,1,4,8,3,2,6,7]=>[4,8,5,1,6,7,3,2]=>[2,1,3,1,1]=>10110011=>4 [1,5,8,4,3,2,6,7]=>[8,4,1,5,6,7,3,2]=>[1,1,4,1,1]=>11100011=>2 [1,8,5,4,3,2,6,7]=>[8,1,4,5,6,7,3,2]=>[1,5,1,1]=>11000011=>2 [1,7,4,3,8,5,2,6]=>[8,2,5,6,1,4,7,3]=>[1,3,3,1]=>11001001=>4 [1,5,7,3,8,4,2,6]=>[8,4,2,6,1,5,7,3]=>[1,1,2,3,1]=>11101001=>4 [5,1,4,7,8,3,2,6]=>[4,8,5,2,1,6,7,3]=>[2,1,1,3,1]=>10111001=>4 [4,8,1,5,7,3,6,2]=>[5,1,8,4,2,6,3,7]=>[1,2,1,2,2]=>11011010=>5 [8,1,5,3,7,4,6,2]=>[1,8,4,6,2,5,3,7]=>[2,2,2,2]=>10101010=>7 [3,8,4,7,6,5,2,1]=>[6,1,5,2,3,4,7,8]=>[1,2,5]=>11010000=>3 [1,6,8,5,3,7,4,2]=>[8,3,1,4,6,2,5,7]=>[1,1,3,3]=>11100100=>3 [6,8,1,7,4,3,5,2]=>[3,1,8,2,5,6,4,7]=>[1,2,3,2]=>11010010=>5 [6,4,8,1,7,3,5,2]=>[3,5,1,8,2,6,4,7]=>[2,2,2,2]=>10101010=>7 [6,4,8,7,1,5,2,3]=>[3,5,1,2,8,4,7,6]=>[2,3,2,1]=>10100101=>6 [7,6,4,1,3,8,2,5]=>[2,3,5,8,6,1,7,4]=>[4,1,2,1]=>10001101=>4 [1,7,5,6,3,2,8,4]=>[8,2,4,3,6,7,1,5]=>[1,2,3,2]=>11010010=>5 [4,2,1,7,8,5,3,6]=>[5,7,8,2,1,4,6,3]=>[3,1,3,1]=>10011001=>4 [2,7,4,6,3,1,8,5]=>[7,2,5,3,6,8,1,4]=>[1,2,3,2]=>11010010=>5 [2,6,8,4,3,7,5,1]=>[7,3,1,5,6,2,4,8]=>[1,1,3,3]=>11100100=>3 [6,2,4,8,3,7,5,1]=>[3,7,5,1,6,2,4,8]=>[2,1,2,3]=>10110100=>5 [7,2,6,3,4,1,8,5]=>[2,7,3,6,5,8,1,4]=>[2,2,2,2]=>10101010=>7 [2,6,7,3,1,4,8,5]=>[7,3,2,6,8,5,1,4]=>[1,1,3,1,2]=>11100110=>3 [2,7,1,8,3,5,4,6]=>[7,2,8,1,6,4,5,3]=>[1,2,2,2,1]=>11010101=>6 [2,1,7,3,5,8,4,6]=>[7,8,2,6,4,1,5,3]=>[2,2,1,2,1]=>10101101=>6 [8,7,1,3,6,2,4,5]=>[1,2,8,6,3,7,5,4]=>[3,1,2,1,1]=>10011011=>4 [8,2,1,7,3,5,6,4]=>[1,7,8,2,6,4,3,5]=>[3,2,1,2]=>10010110=>5 [7,8,2,6,3,1,5,4]=>[2,1,7,3,6,8,4,5]=>[1,2,3,2]=>11010010=>5 [8,7,2,6,3,5,4,1]=>[1,2,7,3,6,4,5,8]=>[3,2,3]=>10010100=>5 [1,2,8,7,4,5,6,3]=>[8,7,1,2,5,4,3,6]=>[1,1,3,1,2]=>11100110=>3 [8,3,7,1,5,6,2,4]=>[1,6,2,8,4,3,7,5]=>[2,2,1,2,1]=>10101101=>6 [8,6,1,2,7,5,3,4]=>[1,3,8,7,2,4,6,5]=>[3,1,3,1]=>10011001=>4 [8,1,6,2,7,4,5,3]=>[1,8,3,7,2,5,4,6]=>[2,2,2,2]=>10101010=>7 [1,8,5,2,6,7,4,3]=>[8,1,4,7,3,2,5,6]=>[1,3,1,3]=>11001100=>3 [5,2,1,8,6,7,4,3]=>[4,7,8,1,3,2,5,6]=>[3,2,3]=>10010100=>5 [2,8,5,7,6,4,3,1]=>[7,1,4,2,3,5,6,8]=>[1,2,5]=>11010000=>3 [1,7,8,5,2,6,4,3]=>[8,2,1,4,7,3,5,6]=>[1,1,3,3]=>11100100=>3 [7,8,1,6,4,2,5,3]=>[2,1,8,3,5,7,4,6]=>[1,2,3,2]=>11010010=>5 [7,8,6,1,5,3,2,4]=>[2,1,3,8,4,6,7,5]=>[1,3,3,1]=>11001001=>4 [7,3,8,6,1,5,2,4]=>[2,6,1,3,8,4,7,5]=>[2,3,2,1]=>10100101=>6 [8,7,6,1,5,3,4,2]=>[1,2,3,8,4,6,5,7]=>[4,2,2]=>10001010=>5 [8,7,1,6,4,5,3,2]=>[1,2,8,3,5,4,6,7]=>[3,2,3]=>10010100=>5 [8,1,7,5,6,4,3,2]=>[1,8,2,4,3,5,6,7]=>[2,2,4]=>10101000=>5 [1,8,6,7,5,4,3,2]=>[8,1,3,2,4,5,6,7]=>[1,2,5]=>11010000=>3 [6,3,5,2,1,4,8,7]=>[3,6,4,7,8,5,1,2]=>[2,3,1,2]=>10100110=>5 [6,3,5,7,2,8,4,1]=>[3,6,4,2,7,1,5,8]=>[2,1,2,3]=>10110100=>5 [8,5,2,7,4,3,1,6]=>[1,4,7,2,5,6,8,3]=>[3,4,1]=>10010001=>4 [4,5,3,6,1,2,8,7]=>[5,4,6,3,8,7,1,2]=>[1,2,2,1,2]=>11010110=>5 [3,5,1,4,6,2,8,7]=>[6,4,8,5,3,7,1,2]=>[1,2,1,2,2]=>11011010=>5 [8,3,4,5,7,2,1,6]=>[1,6,5,4,2,7,8,3]=>[2,1,1,3,1]=>10111001=>4 [5,7,4,6,3,8,2,1]=>[4,2,5,3,6,1,7,8]=>[1,2,2,3]=>11010100=>5 [2,8,4,6,3,7,1,5]=>[7,1,5,3,6,2,8,4]=>[1,2,2,2,1]=>11010101=>6 [8,1,4,7,3,6,2,5]=>[1,8,5,2,6,3,7,4]=>[2,1,2,2,1]=>10110101=>6 [8,3,4,7,5,1,2,6]=>[1,6,5,2,4,8,7,3]=>[2,1,3,1,1]=>10110011=>4 [8,5,1,4,7,3,2,6]=>[1,4,8,5,2,6,7,3]=>[3,1,3,1]=>10011001=>4 [8,5,3,7,1,4,2,6]=>[1,4,6,2,8,5,7,3]=>[3,2,2,1]=>10010101=>6 [2,1,8,5,7,4,3,6]=>[7,8,1,4,2,5,6,3]=>[2,2,3,1]=>10101001=>6 [6,5,3,7,1,8,4,2]=>[3,4,6,2,8,1,5,7]=>[3,2,3]=>10010100=>5 [6,5,1,4,7,8,3,2]=>[3,4,8,5,2,1,6,7]=>[3,1,1,3]=>10011100=>3 [6,3,4,7,5,8,1,2]=>[3,6,5,2,4,1,8,7]=>[2,1,2,2,1]=>10110101=>6 [5,1,4,6,8,3,7,2]=>[4,8,5,3,1,6,2,7]=>[2,1,1,2,2]=>10111010=>5 [4,7,1,3,5,8,6,2]=>[5,2,8,6,4,1,3,7]=>[1,2,1,1,3]=>11011100=>3 [4,8,3,7,1,2,6,5]=>[5,1,6,2,8,7,3,4]=>[1,2,2,1,2]=>11010110=>5 [3,8,6,4,1,7,2,5]=>[6,1,3,5,8,2,7,4]=>[1,4,2,1]=>11000101=>4 [3,8,1,2,5,7,6,4]=>[6,1,8,7,4,2,3,5]=>[1,2,1,1,3]=>11011100=>3 [2,8,7,5,4,1,3,6]=>[7,1,2,4,5,8,6,3]=>[1,5,1,1]=>11000011=>2 [8,7,2,6,4,1,3,5]=>[1,2,7,3,5,8,6,4]=>[3,3,1,1]=>10010011=>4 [3,8,6,7,4,2,1,5]=>[6,1,3,2,5,7,8,4]=>[1,2,4,1]=>11010001=>4 [5,7,6,8,4,2,3,1]=>[4,2,3,1,5,7,6,8]=>[1,2,3,2]=>11010010=>5 [5,3,7,8,2,4,6,1]=>[4,6,2,1,7,5,3,8]=>[2,1,2,1,2]=>10110110=>5 [8,3,6,2,1,4,7,5]=>[1,6,3,7,8,5,2,4]=>[2,3,1,2]=>10100110=>5 [5,3,7,6,2,1,8,4]=>[4,6,2,3,7,8,1,5]=>[2,4,2]=>10100010=>5 [5,3,6,2,8,7,1,4]=>[4,6,3,7,1,2,8,5]=>[2,2,3,1]=>10101001=>6 [5,7,8,6,4,2,1,3]=>[4,2,1,3,5,7,8,6]=>[1,1,5,1]=>11100001=>2 [2,6,7,5,4,8,1,3]=>[7,3,2,4,5,1,8,6]=>[1,1,3,2,1]=>11100101=>4 [6,1,7,4,5,8,2,3]=>[3,8,2,5,4,1,7,6]=>[2,2,1,2,1]=>10101101=>6 [6,7,3,5,1,8,2,4]=>[3,2,6,4,8,1,7,5]=>[1,2,2,2,1]=>11010101=>6 [2,1,6,7,5,8,3,4]=>[7,8,3,2,4,1,6,5]=>[2,1,2,2,1]=>10110101=>6 [2,1,5,7,3,6,8,4]=>[7,8,4,2,6,3,1,5]=>[2,1,2,1,2]=>10110110=>5 [5,7,3,6,1,2,8,4]=>[4,2,6,3,8,7,1,5]=>[1,2,2,1,2]=>11010110=>5 [4,1,7,2,5,6,8,3]=>[5,8,2,7,4,3,1,6]=>[2,2,1,1,2]=>10101110=>5 [2,4,7,1,6,5,8,3]=>[7,5,2,8,3,4,1,6]=>[1,1,2,2,2]=>11101010=>5 [4,6,2,1,8,7,5,3]=>[5,3,7,8,1,2,4,6]=>[1,3,4]=>11001000=>3 [3,4,6,2,7,8,5,1]=>[6,5,3,7,2,1,4,8]=>[1,1,2,1,3]=>11101100=>3 [4,6,1,2,5,8,7,3]=>[5,3,8,7,4,1,2,6]=>[1,2,1,1,3]=>11011100=>3 [5,6,1,4,8,2,7,3]=>[4,3,8,5,1,7,2,6]=>[1,2,1,2,2]=>11011010=>5 [5,6,3,1,8,7,2,4]=>[4,3,6,8,1,2,7,5]=>[1,3,3,1]=>11001001=>4 [3,5,6,4,7,1,8,2]=>[6,4,3,5,2,8,1,7]=>[1,1,2,2,2]=>11101010=>5 [3,4,6,1,5,7,8,2]=>[6,5,3,8,4,2,1,7]=>[1,1,2,1,1,2]=>11101110=>3 [3,4,1,5,7,6,8,2]=>[6,5,8,4,2,3,1,7]=>[1,2,1,2,2]=>11011010=>5 [3,8,2,7,1,6,5,4]=>[6,1,7,2,8,3,4,5]=>[1,2,2,3]=>11010100=>5 [3,8,2,7,6,1,5,4]=>[6,1,7,2,3,8,4,5]=>[1,2,3,2]=>11010010=>5 [3,8,2,7,6,5,1,4]=>[6,1,7,2,3,4,8,5]=>[1,2,4,1]=>11010001=>4 [3,8,2,7,6,5,4,1]=>[6,1,7,2,3,4,5,8]=>[1,2,5]=>11010000=>3 [4,8,7,2,6,5,3,1]=>[5,1,2,7,3,4,6,8]=>[1,3,4]=>11001000=>3 [4,8,7,2,6,5,1,3]=>[5,1,2,7,3,4,8,6]=>[1,3,3,1]=>11001001=>4 [4,8,7,2,6,1,5,3]=>[5,1,2,7,3,8,4,6]=>[1,3,2,2]=>11001010=>5 [4,8,7,2,1,6,5,3]=>[5,1,2,7,8,3,4,6]=>[1,4,3]=>11000100=>3 [4,8,7,3,1,6,5,2]=>[5,1,2,6,8,3,4,7]=>[1,4,3]=>11000100=>3 [4,8,7,3,2,1,6,5]=>[5,1,2,6,7,8,3,4]=>[1,5,2]=>11000010=>3 [4,8,7,3,2,6,1,5]=>[5,1,2,6,7,3,8,4]=>[1,4,2,1]=>11000101=>4 [4,8,7,3,2,6,5,1]=>[5,1,2,6,7,3,4,8]=>[1,4,3]=>11000100=>3 [4,8,7,3,6,2,5,1]=>[5,1,2,6,3,7,4,8]=>[1,3,2,2]=>11001010=>5 [4,8,7,3,6,2,1,5]=>[5,1,2,6,3,7,8,4]=>[1,3,3,1]=>11001001=>4 [4,8,7,3,6,1,5,2]=>[5,1,2,6,3,8,4,7]=>[1,3,2,2]=>11001010=>5 [4,8,7,3,6,5,1,2]=>[5,1,2,6,3,4,8,7]=>[1,3,3,1]=>11001001=>4 [4,8,7,3,6,5,2,1]=>[5,1,2,6,3,4,7,8]=>[1,3,4]=>11001000=>3 [5,8,7,6,3,4,2,1]=>[4,1,2,3,6,5,7,8]=>[1,4,3]=>11000100=>3 [5,8,7,6,3,1,4,2]=>[4,1,2,3,6,8,5,7]=>[1,5,2]=>11000010=>3 [5,8,7,6,3,2,4,1]=>[4,1,2,3,6,7,5,8]=>[1,5,2]=>11000010=>3 [5,8,7,6,2,4,3,1]=>[4,1,2,3,7,5,6,8]=>[1,4,3]=>11000100=>3 [5,8,7,6,2,1,4,3]=>[4,1,2,3,7,8,5,6]=>[1,5,2]=>11000010=>3 [5,8,7,6,4,2,3,1]=>[4,1,2,3,5,7,6,8]=>[1,5,2]=>11000010=>3 [5,8,7,6,4,2,1,3]=>[4,1,2,3,5,7,8,6]=>[1,6,1]=>11000001=>2 [5,8,7,6,4,1,3,2]=>[4,1,2,3,5,8,6,7]=>[1,5,2]=>11000010=>3 [5,8,7,6,4,3,1,2]=>[4,1,2,3,5,6,8,7]=>[1,6,1]=>11000001=>2 [7,3,4,2,1,6,5,8]=>[2,6,5,7,8,3,4,1]=>[2,3,2,1]=>10100101=>6 [7,3,5,2,6,1,4,8]=>[2,6,4,7,3,8,5,1]=>[2,2,2,1,1]=>10101011=>6 [7,3,5,2,6,4,1,8]=>[2,6,4,7,3,5,8,1]=>[2,2,3,1]=>10101001=>6 [6,3,5,2,7,4,8,1]=>[3,6,4,7,2,5,1,8]=>[2,2,2,2]=>10101010=>7 [7,2,1,5,6,4,3,8]=>[2,7,8,4,3,5,6,1]=>[3,1,3,1]=>10011001=>4 [7,3,5,1,6,4,2,8]=>[2,6,4,8,3,5,7,1]=>[2,2,3,1]=>10101001=>6 [7,4,5,6,1,3,2,8]=>[2,5,4,3,8,6,7,1]=>[2,1,2,2,1]=>10110101=>6 [1,4,5,7,3,2,8,6]=>[8,5,4,2,6,7,1,3]=>[1,1,1,3,2]=>11110010=>3 [1,4,6,7,3,8,2,5]=>[8,5,3,2,6,1,7,4]=>[1,1,1,2,2,1]=>11110101=>4 [6,4,5,7,3,1,8,2]=>[3,5,4,2,6,8,1,7]=>[2,1,3,2]=>10110010=>5 [6,4,5,7,1,3,8,2]=>[3,5,4,2,8,6,1,7]=>[2,1,2,1,2]=>10110110=>5 [6,3,5,1,7,4,8,2]=>[3,6,4,8,2,5,1,7]=>[2,2,2,2]=>10101010=>7 [6,2,1,5,7,4,8,3]=>[3,7,8,4,2,5,1,6]=>[3,1,2,2]=>10011010=>5 [3,2,1,5,7,4,8,6]=>[6,7,8,4,2,5,1,3]=>[3,1,2,2]=>10011010=>5 [2,4,6,7,3,8,1,5]=>[7,5,3,2,6,1,8,4]=>[1,1,1,2,2,1]=>11110101=>4 [1,4,6,7,3,8,5,2]=>[8,5,3,2,6,1,4,7]=>[1,1,1,2,3]=>11110100=>3 [1,5,6,7,8,3,4,2]=>[8,4,3,2,1,6,5,7]=>[1,1,1,1,2,2]=>11111010=>3 [2,5,6,7,8,3,1,4]=>[7,4,3,2,1,6,8,5]=>[1,1,1,1,3,1]=>11111001=>2 [3,2,1,6,7,8,4,5]=>[6,7,8,3,2,1,5,4]=>[3,1,1,2,1]=>10011101=>4 [5,2,1,6,7,8,4,3]=>[4,7,8,3,2,1,5,6]=>[3,1,1,3]=>10011100=>3 [5,3,6,1,7,8,4,2]=>[4,6,3,8,2,1,5,7]=>[2,2,1,3]=>10101100=>5 [5,4,6,7,1,8,3,2]=>[4,5,3,2,8,1,6,7]=>[2,1,2,3]=>10110100=>5 [1,5,6,7,8,3,2,4]=>[8,4,3,2,1,6,7,5]=>[1,1,1,1,3,1]=>11111001=>2 [6,4,5,7,2,1,8,3]=>[3,5,4,2,7,8,1,6]=>[2,1,3,2]=>10110010=>5 [5,4,6,7,2,8,3,1]=>[4,5,3,2,7,1,6,8]=>[2,1,2,3]=>10110100=>5 [5,3,6,2,7,8,4,1]=>[4,6,3,7,2,1,5,8]=>[2,2,1,3]=>10101100=>5 [5,3,6,2,7,8,1,4]=>[4,6,3,7,2,1,8,5]=>[2,2,1,2,1]=>10101101=>6 [6,3,5,2,7,1,8,4]=>[3,6,4,7,2,8,1,5]=>[2,2,2,2]=>10101010=>7 [6,3,4,2,1,7,8,5]=>[3,6,5,7,8,2,1,4]=>[2,3,1,2]=>10100110=>5 [5,3,4,1,2,7,8,6]=>[4,6,5,8,7,2,1,3]=>[2,2,1,1,2]=>10101110=>5 [4,3,6,2,7,8,1,5]=>[5,6,3,7,2,1,8,4]=>[2,2,1,2,1]=>10101101=>6 [4,3,6,2,7,8,5,1]=>[5,6,3,7,2,1,4,8]=>[2,2,1,3]=>10101100=>5 [1,3,6,2,7,8,5,4]=>[8,6,3,7,2,1,4,5]=>[1,1,2,1,3]=>11101100=>3 [1,4,6,7,2,8,5,3]=>[8,5,3,2,7,1,4,6]=>[1,1,1,2,3]=>11110100=>3 [3,4,6,7,2,8,5,1]=>[6,5,3,2,7,1,4,8]=>[1,1,1,2,3]=>11110100=>3 [3,4,5,7,2,1,8,6]=>[6,5,4,2,7,8,1,3]=>[1,1,1,3,2]=>11110010=>3 [4,2,1,5,7,3,8,6]=>[5,7,8,4,2,6,1,3]=>[3,1,2,2]=>10011010=>5 [4,2,1,6,7,8,3,5]=>[5,7,8,3,2,1,6,4]=>[3,1,1,2,1]=>10011101=>4 [4,3,6,1,7,8,2,5]=>[5,6,3,8,2,1,7,4]=>[2,2,1,2,1]=>10101101=>6 [1,5,6,7,8,2,4,3]=>[8,4,3,2,1,7,5,6]=>[1,1,1,1,2,2]=>11111010=>3 [1,5,6,7,8,4,2,3]=>[8,4,3,2,1,5,7,6]=>[1,1,1,1,3,1]=>11111001=>2 [3,4,6,7,1,8,5,2]=>[6,5,3,2,8,1,4,7]=>[1,1,1,2,3]=>11110100=>3 [4,3,6,1,7,8,5,2]=>[5,6,3,8,2,1,4,7]=>[2,2,1,3]=>10101100=>5 [4,2,1,6,7,8,5,3]=>[5,7,8,3,2,1,4,6]=>[3,1,1,3]=>10011100=>3 [2,3,6,1,7,8,5,4]=>[7,6,3,8,2,1,4,5]=>[1,1,2,1,3]=>11101100=>3 [2,4,6,7,1,8,5,3]=>[7,5,3,2,8,1,4,6]=>[1,1,1,2,3]=>11110100=>3 [2,5,6,7,8,1,4,3]=>[7,4,3,2,1,8,5,6]=>[1,1,1,1,2,2]=>11111010=>3 [2,1,4,3,6,5,8,7,9]=>[8,9,6,7,4,5,2,3,1]=>[2,2,2,2,1]=>101010101=>8 [2,4,1,3,6,5,8,7,9]=>[8,6,9,7,4,5,2,3,1]=>[1,2,1,2,2,1]=>110110101=>6 [2,4,1,6,3,5,8,7,9]=>[8,6,9,4,7,5,2,3,1]=>[1,2,2,1,2,1]=>110101101=>6 [2,4,1,6,3,8,5,7,9]=>[8,6,9,4,7,2,5,3,1]=>[1,2,2,2,1,1]=>110101011=>6 [2,4,1,6,3,7,5,9,8]=>[8,6,9,4,7,3,5,1,2]=>[1,2,2,2,2]=>110101010=>7 [2,4,1,5,3,7,6,9,8]=>[8,6,9,5,7,3,4,1,2]=>[1,2,2,2,2]=>110101010=>7 [2,3,1,5,4,7,6,9,8]=>[8,7,9,5,6,3,4,1,2]=>[1,2,2,2,2]=>110101010=>7 [1,3,2,5,4,7,6,9,8]=>[9,7,8,5,6,3,4,1,2]=>[1,2,2,2,2]=>110101010=>7 [2,4,6,1,3,5,8,7,9]=>[8,6,4,9,7,5,2,3,1]=>[1,1,2,1,1,2,1]=>111011101=>4 [2,4,1,6,8,3,5,7,9]=>[8,6,9,4,2,7,5,3,1]=>[1,2,1,2,1,1,1]=>110110111=>4 [2,4,1,6,3,8,9,5,7]=>[8,6,9,4,7,2,1,5,3]=>[1,2,2,1,2,1]=>110101101=>6 [2,4,1,6,3,7,5,8,9]=>[8,6,9,4,7,3,5,2,1]=>[1,2,2,2,1,1]=>110101011=>6 [2,4,1,5,3,8,6,9,7]=>[8,6,9,5,7,2,4,1,3]=>[1,2,2,2,2]=>110101010=>7 [2,3,1,6,4,7,5,9,8]=>[8,7,9,4,6,3,5,1,2]=>[1,2,2,2,2]=>110101010=>7 [1,4,2,5,3,7,6,9,8]=>[9,6,8,5,7,3,4,1,2]=>[1,2,2,2,2]=>110101010=>7 [7,1,2,3,4,5,6,8,9]=>[3,9,8,7,6,5,4,2,1]=>[2,1,1,1,1,1,1,1]=>101111111=>2 [1,4,3,6,2,5,7,8]=>[8,5,6,3,7,4,2,1]=>[1,2,2,1,1,1]=>11010111=>4 [1,4,3,7,2,5,6,8]=>[8,5,6,2,7,4,3,1]=>[1,2,2,1,1,1]=>11010111=>4 [1,4,3,7,6,8,2,5]=>[8,5,6,2,3,1,7,4]=>[1,2,2,2,1]=>11010101=>6 [1,4,3,7,5,8,2,6]=>[8,5,6,2,4,1,7,3]=>[1,2,2,2,1]=>11010101=>6 [1,4,3,7,2,6,5,8]=>[8,5,6,2,7,3,4,1]=>[1,2,2,2,1]=>11010101=>6 [1,5,3,7,4,8,2,6]=>[8,4,6,2,5,1,7,3]=>[1,2,2,2,1]=>11010101=>6 [1,3,2,6,5,8,4,7]=>[8,6,7,3,4,1,5,2]=>[1,2,2,2,1]=>11010101=>6 [1,5,4,8,2,6,3,7]=>[8,4,5,1,7,3,6,2]=>[1,2,2,2,1]=>11010101=>6 [1,5,4,8,3,7,2,6]=>[8,4,5,1,6,2,7,3]=>[1,2,2,2,1]=>11010101=>6 [1,2,3,6,5,8,4,7]=>[8,7,6,3,4,1,5,2]=>[1,1,1,2,2,1]=>11110101=>4 [6,8,2,4,5,7,1,3]=>[3,1,7,5,4,2,8,6]=>[1,2,1,1,2,1]=>11011101=>4 [3,7,8,4,5,2,6,1]=>[6,2,1,5,4,7,3,8]=>[1,1,2,2,2]=>11101010=>5 [7,8,1,4,5,3,6,2]=>[2,1,8,5,4,6,3,7]=>[1,2,1,2,2]=>11011010=>5 [3,8,7,4,1,6,5,2]=>[6,1,2,5,8,3,4,7]=>[1,4,3]=>11000100=>3 [4,8,3,6,1,5,7,2]=>[5,1,6,3,8,4,2,7]=>[1,2,2,1,2]=>11010110=>5 [5,8,3,1,6,4,7,2]=>[4,1,6,8,3,5,2,7]=>[1,3,2,2]=>11001010=>5 [5,8,1,4,7,6,3,2]=>[4,1,8,5,2,3,6,7]=>[1,2,1,4]=>11011000=>3 [7,5,1,8,6,2,4,3]=>[2,4,8,1,3,7,5,6]=>[3,3,2]=>10010010=>5 [7,4,1,8,2,6,3,5]=>[2,5,8,1,7,3,6,4]=>[3,2,2,1]=>10010101=>6 [7,1,8,4,2,6,3,5]=>[2,8,1,5,7,3,6,4]=>[2,3,2,1]=>10100101=>6 [1,6,3,8,5,2,4,7]=>[8,3,6,1,4,7,5,2]=>[1,2,3,1,1]=>11010011=>4 [6,1,3,8,5,2,4,7]=>[3,8,6,1,4,7,5,2]=>[2,1,3,1,1]=>10110011=>4 [7,1,8,3,6,2,5,4]=>[2,8,1,6,3,7,4,5]=>[2,2,2,2]=>10101010=>7 [7,2,8,4,1,6,5,3]=>[2,7,1,5,8,3,4,6]=>[2,3,3]=>10100100=>5 [7,2,8,3,6,5,1,4]=>[2,7,1,6,3,4,8,5]=>[2,2,3,1]=>10101001=>6 [7,1,8,2,3,6,5,4]=>[2,8,1,7,6,3,4,5]=>[2,2,1,3]=>10101100=>5 [6,1,2,8,3,5,4,7]=>[3,8,7,1,6,4,5,2]=>[2,1,2,2,1]=>10110101=>6 [1,5,2,3,8,4,7,6]=>[8,4,7,6,1,5,2,3]=>[1,2,1,2,2]=>11011010=>5 [5,1,2,3,8,4,7,6]=>[4,8,7,6,1,5,2,3]=>[2,1,1,2,2]=>10111010=>5 [5,2,3,8,1,4,7,6]=>[4,7,6,1,8,5,2,3]=>[2,1,2,1,2]=>10110110=>5 [6,2,8,1,3,5,4,7]=>[3,7,1,8,6,4,5,2]=>[2,2,1,2,1]=>10101101=>6 [6,2,4,1,8,7,3,5]=>[3,7,5,8,1,2,6,4]=>[2,2,3,1]=>10101001=>6 [2,6,3,8,7,1,5,4]=>[7,3,6,1,2,8,4,5]=>[1,2,3,2]=>11010010=>5 [2,6,3,8,5,1,4,7]=>[7,3,6,1,4,8,5,2]=>[1,2,3,1,1]=>11010011=>4 [2,5,1,8,3,4,7,6]=>[7,4,8,1,6,5,2,3]=>[1,2,2,1,2]=>11010110=>5 [2,5,1,3,8,4,7,6]=>[7,4,8,6,1,5,2,3]=>[1,2,1,2,2]=>11011010=>5 [1,2,5,3,8,4,7,6]=>[8,7,4,6,1,5,2,3]=>[1,1,2,2,2]=>11101010=>5 [1,2,4,8,3,7,6,5]=>[8,7,5,1,6,2,3,4]=>[1,1,1,2,3]=>11110100=>3 [2,4,8,1,3,7,6,5]=>[7,5,1,8,6,2,3,4]=>[1,1,2,1,3]=>11101100=>3 [2,4,8,3,7,1,6,5]=>[7,5,1,6,2,8,3,4]=>[1,1,2,2,2]=>11101010=>5 [2,4,8,3,7,6,1,5]=>[7,5,1,6,2,3,8,4]=>[1,1,2,3,1]=>11101001=>4 [2,5,3,8,1,7,4,6]=>[7,4,6,1,8,2,5,3]=>[1,2,2,2,1]=>11010101=>6 [2,5,4,1,3,8,7,6]=>[7,4,5,8,6,1,2,3]=>[1,3,1,3]=>11001100=>3 [3,1,5,4,8,2,7,6]=>[6,8,4,5,1,7,2,3]=>[2,2,2,2]=>10101010=>7 [5,2,3,8,4,7,1,6]=>[4,7,6,1,5,2,8,3]=>[2,1,2,2,1]=>10110101=>6 [4,8,2,3,7,6,1,5]=>[5,1,7,6,2,3,8,4]=>[1,2,1,3,1]=>11011001=>4 [4,8,1,2,3,7,6,5]=>[5,1,8,7,6,2,3,4]=>[1,2,1,1,3]=>11011100=>3 [1,4,8,2,3,7,6,5]=>[8,5,1,7,6,2,3,4]=>[1,1,2,1,3]=>11101100=>3 [1,4,8,3,7,2,6,5]=>[8,5,1,6,2,7,3,4]=>[1,1,2,2,2]=>11101010=>5 [5,3,8,1,2,4,7,6]=>[4,6,1,8,7,5,2,3]=>[2,2,1,1,2]=>10101110=>5 [5,1,3,8,2,4,7,6]=>[4,8,6,1,7,5,2,3]=>[2,1,2,1,2]=>10110110=>5 [1,5,3,8,2,4,7,6]=>[8,4,6,1,7,5,2,3]=>[1,2,2,1,2]=>11010110=>5 [1,5,4,8,2,7,6,3]=>[8,4,5,1,7,2,3,6]=>[1,2,2,3]=>11010100=>5 [5,1,4,8,2,7,6,3]=>[4,8,5,1,7,2,3,6]=>[2,1,2,3]=>10110100=>5 [5,4,8,1,2,7,6,3]=>[4,5,1,8,7,2,3,6]=>[2,2,1,3]=>10101100=>5 [6,5,1,2,8,7,4,3]=>[3,4,8,7,1,2,5,6]=>[3,1,4]=>10011000=>3 [5,3,1,6,4,2,8,7]=>[4,6,8,3,5,7,1,2]=>[3,3,2]=>10010010=>5 [5,1,6,2,8,7,4,3]=>[4,8,3,7,1,2,5,6]=>[2,2,4]=>10101000=>5 [4,1,2,5,8,7,6,3]=>[5,8,7,4,1,2,3,6]=>[2,1,1,4]=>10111000=>3 [1,4,2,5,8,7,6,3]=>[8,5,7,4,1,2,3,6]=>[1,2,1,4]=>11011000=>3 [1,3,5,2,8,7,4,6]=>[8,6,4,7,1,2,5,3]=>[1,1,2,3,1]=>11101001=>4 [3,5,1,2,8,7,4,6]=>[6,4,8,7,1,2,5,3]=>[1,2,1,3,1]=>11011001=>4 [3,6,2,8,7,5,1,4]=>[6,3,7,1,2,4,8,5]=>[1,2,4,1]=>11010001=>4 [4,2,6,1,8,7,3,5]=>[5,7,3,8,1,2,6,4]=>[2,2,3,1]=>10101001=>6 [4,3,1,5,8,2,7,6]=>[5,6,8,4,1,7,2,3]=>[3,1,2,2]=>10011010=>5 [3,4,8,7,2,6,1,5]=>[6,5,1,2,7,3,8,4]=>[1,1,3,2,1]=>11100101=>4 [3,4,8,7,1,2,6,5]=>[6,5,1,2,8,7,3,4]=>[1,1,3,1,2]=>11100110=>3 [3,4,8,1,7,2,6,5]=>[6,5,1,8,2,7,3,4]=>[1,1,2,2,2]=>11101010=>5 [1,3,4,8,7,2,6,5]=>[8,6,5,1,2,7,3,4]=>[1,1,1,3,2]=>11110010=>3 [1,3,4,8,2,7,6,5]=>[8,6,5,1,7,2,3,4]=>[1,1,1,2,3]=>11110100=>3 [3,4,8,1,2,7,6,5]=>[6,5,1,8,7,2,3,4]=>[1,1,2,1,3]=>11101100=>3 [3,4,8,2,7,1,6,5]=>[6,5,1,7,2,8,3,4]=>[1,1,2,2,2]=>11101010=>5 [3,4,8,2,7,6,1,5]=>[6,5,1,7,2,3,8,4]=>[1,1,2,3,1]=>11101001=>4 [4,2,5,8,1,7,6,3]=>[5,7,4,1,8,2,3,6]=>[2,1,2,3]=>10110100=>5 [4,3,1,2,5,8,7,6]=>[5,6,8,7,4,1,2,3]=>[3,1,1,3]=>10011100=>3 [3,1,4,2,5,8,7,6]=>[6,8,5,7,4,1,2,3]=>[2,2,1,3]=>10101100=>5 [2,3,5,1,8,7,6,4]=>[7,6,4,8,1,2,3,5]=>[1,1,2,4]=>11101000=>3 [7,8,2,1,5,3,6,4]=>[2,1,7,8,4,6,3,5]=>[1,3,2,2]=>11001010=>5 [6,4,1,2,7,3,5,8]=>[3,5,8,7,2,6,4,1]=>[3,1,2,1,1]=>10011011=>4 [2,3,7,5,4,1,8,6]=>[7,6,2,4,5,8,1,3]=>[1,1,4,2]=>11100010=>3 [6,3,1,5,4,2,7,8]=>[3,6,8,4,5,7,2,1]=>[3,3,1,1]=>10010011=>4 [7,8,1,5,4,2,6,3]=>[2,1,8,4,5,7,3,6]=>[1,2,3,2]=>11010010=>5 [7,8,3,5,4,1,6,2]=>[2,1,6,4,5,8,3,7]=>[1,2,3,2]=>11010010=>5 [7,8,2,5,4,1,3,6]=>[2,1,7,4,5,8,6,3]=>[1,2,3,1,1]=>11010011=>4 [7,8,2,5,4,6,1,3]=>[2,1,7,4,5,3,8,6]=>[1,2,2,2,1]=>11010101=>6 [6,2,1,5,4,7,3,8]=>[3,7,8,4,5,2,6,1]=>[3,2,2,1]=>10010101=>6 [5,3,6,1,4,7,8,2]=>[4,6,3,8,5,2,1,7]=>[2,2,1,1,2]=>10101110=>5 [5,3,6,2,4,7,1,8]=>[4,6,3,7,5,2,8,1]=>[2,2,1,2,1]=>10101101=>6 [6,4,2,1,7,3,8,5]=>[3,5,7,8,2,6,1,4]=>[4,2,2]=>10001010=>5 [4,3,7,5,8,6,1,2]=>[5,6,2,4,1,3,8,7]=>[2,2,3,1]=>10101001=>6 [4,2,7,1,8,3,6,5]=>[5,7,2,8,1,6,3,4]=>[2,2,2,2]=>10101010=>7 [3,2,6,7,4,8,1,5]=>[6,7,3,2,5,1,8,4]=>[2,1,2,2,1]=>10110101=>6 [3,1,6,7,4,8,5,2]=>[6,8,3,2,5,1,4,7]=>[2,1,2,3]=>10110100=>5 [1,7,6,5,3,8,4,2]=>[8,2,3,4,6,1,5,7]=>[1,4,3]=>11000100=>3 [2,7,6,5,3,8,1,4]=>[7,2,3,4,6,1,8,5]=>[1,4,2,1]=>11000101=>4 [1,7,6,5,2,4,8,3]=>[8,2,3,4,7,5,1,6]=>[1,4,1,2]=>11000110=>3 [2,7,6,5,3,1,4,8]=>[7,2,3,4,6,8,5,1]=>[1,5,1,1]=>11000011=>2 [2,7,1,4,8,3,5,6]=>[7,2,8,5,1,6,4,3]=>[1,2,1,2,1,1]=>11011011=>4 [3,7,6,4,8,5,1,2]=>[6,2,3,5,1,4,8,7]=>[1,3,3,1]=>11001001=>4 [5,7,6,3,8,4,1,2]=>[4,2,3,6,1,5,8,7]=>[1,3,3,1]=>11001001=>4 [5,1,6,2,4,8,3,7]=>[4,8,3,7,5,1,6,2]=>[2,2,1,2,1]=>10101101=>6 [4,7,6,5,2,1,3,8]=>[5,2,3,4,7,8,6,1]=>[1,5,1,1]=>11000011=>2 [4,7,6,5,2,8,1,3]=>[5,2,3,4,7,1,8,6]=>[1,4,2,1]=>11000101=>4 [4,7,6,5,1,8,3,2]=>[5,2,3,4,8,1,6,7]=>[1,4,3]=>11000100=>3 [1,7,6,5,2,8,3,4]=>[8,2,3,4,7,1,6,5]=>[1,4,2,1]=>11000101=>4 [1,7,6,5,3,2,8,4]=>[8,2,3,4,6,7,1,5]=>[1,5,2]=>11000010=>3 [4,7,6,5,1,2,8,3]=>[5,2,3,4,8,7,1,6]=>[1,4,1,2]=>11000110=>3 [4,7,6,5,3,1,8,2]=>[5,2,3,4,6,8,1,7]=>[1,5,2]=>11000010=>3 [6,1,3,5,4,8,7,2]=>[3,8,6,4,5,1,2,7]=>[2,1,2,3]=>10110100=>5 [5,2,6,3,4,1,7,8]=>[4,7,3,6,5,8,2,1]=>[2,2,2,1,1]=>10101011=>6 [5,1,6,2,4,7,8,3]=>[4,8,3,7,5,2,1,6]=>[2,2,1,1,2]=>10101110=>5 [1,2,6,3,4,8,7,5]=>[8,7,3,6,5,1,2,4]=>[1,1,2,1,3]=>11101100=>3 [1,7,2,4,8,3,6,5]=>[8,2,7,5,1,6,3,4]=>[1,2,1,2,2]=>11011010=>5 [6,1,4,2,8,3,5,7]=>[3,8,5,7,1,6,4,2]=>[2,2,2,1,1]=>10101011=>6 [4,1,8,2,6,3,5,7]=>[5,8,1,7,3,6,4,2]=>[2,2,2,1,1]=>10101011=>6 [4,7,2,1,5,3,6,8]=>[5,2,7,8,4,6,3,1]=>[1,3,2,1,1]=>11001011=>4 [4,7,1,6,2,3,8,5]=>[5,2,8,3,7,6,1,4]=>[1,2,2,1,2]=>11010110=>5 [1,7,2,6,8,3,5,4]=>[8,2,7,3,1,6,4,5]=>[1,2,1,2,2]=>11011010=>5 [3,1,6,7,4,2,8,5]=>[6,8,3,2,5,7,1,4]=>[2,1,3,2]=>10110010=>5 [3,2,8,5,4,6,1,7]=>[6,7,1,4,5,3,8,2]=>[2,3,2,1]=>10100101=>6 [4,7,6,3,5,8,1,2]=>[5,2,3,6,4,1,8,7]=>[1,3,1,2,1]=>11001101=>4 [4,7,1,2,5,3,8,6]=>[5,2,8,7,4,6,1,3]=>[1,2,1,2,2]=>11011010=>5 [3,7,6,5,2,4,1,8]=>[6,2,3,4,7,5,8,1]=>[1,4,2,1]=>11000101=>4 [3,7,6,5,1,4,8,2]=>[6,2,3,4,8,5,1,7]=>[1,4,1,2]=>11000110=>3 [3,7,6,5,2,1,8,4]=>[6,2,3,4,7,8,1,5]=>[1,5,2]=>11000010=>3 [1,7,6,5,8,2,4,3]=>[8,2,3,4,1,7,5,6]=>[1,3,2,2]=>11001010=>5 [3,7,6,5,8,1,4,2]=>[6,2,3,4,1,8,5,7]=>[1,3,2,2]=>11001010=>5 [3,7,6,5,1,2,4,8]=>[6,2,3,4,8,7,5,1]=>[1,4,1,1,1]=>11000111=>2 [3,1,6,8,4,2,5,7]=>[6,8,3,1,5,7,4,2]=>[2,1,3,1,1]=>10110011=>4 [4,7,6,8,3,5,1,2]=>[5,2,3,1,6,4,8,7]=>[1,2,2,2,1]=>11010101=>6 [2,7,6,5,1,4,3,8]=>[7,2,3,4,8,5,6,1]=>[1,4,2,1]=>11000101=>4 [2,7,6,5,8,1,3,4]=>[7,2,3,4,1,8,6,5]=>[1,3,2,1,1]=>11001011=>4 [2,7,6,5,8,4,1,3]=>[7,2,3,4,1,5,8,6]=>[1,3,3,1]=>11001001=>4 [6,3,2,1,7,4,8,5]=>[3,6,7,8,2,5,1,4]=>[4,2,2]=>10001010=>5 [4,2,1,7,3,5,8,6]=>[5,7,8,2,6,4,1,3]=>[3,2,1,2]=>10010110=>5 [7,3,1,5,4,2,8,6]=>[2,6,8,4,5,7,1,3]=>[3,3,2]=>10010010=>5 [8,4,1,5,2,7,6,3]=>[1,5,8,4,7,2,3,6]=>[3,2,3]=>10010100=>5 [8,2,5,1,3,7,6,4]=>[1,7,4,8,6,2,3,5]=>[2,2,1,3]=>10101100=>5 [4,3,7,2,1,5,8,6]=>[5,6,2,7,8,4,1,3]=>[2,3,1,2]=>10100110=>5 [6,3,7,4,2,1,8,5]=>[3,6,2,5,7,8,1,4]=>[2,4,2]=>10100010=>5 [4,7,2,5,3,1,8,6]=>[5,2,7,4,6,8,1,3]=>[1,2,3,2]=>11010010=>5 [7,5,4,3,2,1,8,6]=>[2,4,5,6,7,8,1,3]=>[6,2]=>10000010=>3 [8,5,3,2,1,7,6,4]=>[1,4,6,7,8,2,3,5]=>[5,3]=>10000100=>3 [6,5,2,1,8,4,3,7]=>[3,4,7,8,1,5,6,2]=>[4,3,1]=>10001001=>4 [4,6,3,2,8,1,5,7]=>[5,3,6,7,1,8,4,2]=>[1,3,2,1,1]=>11001011=>4 [5,7,4,3,2,8,1,6]=>[4,2,5,6,7,1,8,3]=>[1,4,2,1]=>11000101=>4 [2,7,3,6,4,8,1,5]=>[7,2,6,3,5,1,8,4]=>[1,2,2,2,1]=>11010101=>6 [6,2,7,5,3,8,1,4]=>[3,7,2,4,6,1,8,5]=>[2,3,2,1]=>10100101=>6 [7,1,8,5,3,6,4,2]=>[2,8,1,4,6,3,5,7]=>[2,3,3]=>10100100=>5 [5,8,1,6,2,7,4,3]=>[4,1,8,3,7,2,5,6]=>[1,2,2,3]=>11010100=>5 [1,8,6,2,3,7,5,4]=>[8,1,3,7,6,2,4,5]=>[1,3,1,3]=>11001100=>3 [1,8,6,3,2,7,5,4]=>[8,1,3,6,7,2,4,5]=>[1,4,3]=>11000100=>3 [5,8,3,2,7,1,6,4]=>[4,1,6,7,2,8,3,5]=>[1,3,2,2]=>11001010=>5 [8,7,3,1,6,5,4,2]=>[1,2,6,8,3,4,5,7]=>[4,4]=>10001000=>3 [8,7,2,6,1,5,4,3]=>[1,2,7,3,8,4,5,6]=>[3,2,3]=>10010100=>5 [1,8,5,7,4,3,6,2]=>[8,1,4,2,5,6,3,7]=>[1,2,3,2]=>11010010=>5 [1,8,5,7,2,4,6,3]=>[8,1,4,2,7,5,3,6]=>[1,2,2,1,2]=>11010110=>5 [3,8,6,1,7,2,5,4]=>[6,1,3,8,2,7,4,5]=>[1,3,2,2]=>11001010=>5 [5,8,4,6,7,1,3,2]=>[4,1,5,3,2,8,6,7]=>[1,2,1,2,2]=>11011010=>5 [7,2,8,5,6,1,4,3]=>[2,7,1,4,3,8,5,6]=>[2,2,2,2]=>10101010=>7 [6,3,7,5,8,2,1,4]=>[3,6,2,4,1,7,8,5]=>[2,2,3,1]=>10101001=>6 [3,7,2,6,8,4,1,5]=>[6,2,7,3,1,5,8,4]=>[1,2,1,3,1]=>11011001=>4 [3,6,5,8,1,4,2,7]=>[6,3,4,1,8,5,7,2]=>[1,2,2,2,1]=>11010101=>6 [2,6,5,8,4,1,3,7]=>[7,3,4,1,5,8,6,2]=>[1,2,3,1,1]=>11010011=>4 [6,5,4,8,3,2,1,7]=>[3,4,5,1,6,7,8,2]=>[3,4,1]=>10010001=>4 [8,4,3,7,2,1,6,5]=>[1,5,6,2,7,8,3,4]=>[3,3,2]=>10010010=>5 [8,2,4,7,1,3,6,5]=>[1,7,5,2,8,6,3,4]=>[2,1,2,1,2]=>10110110=>5 [6,2,5,8,1,4,3,7]=>[3,7,4,1,8,5,6,2]=>[2,1,2,2,1]=>10110101=>6 [4,3,6,8,2,1,5,7]=>[5,6,3,1,7,8,4,2]=>[2,1,3,1,1]=>10110011=>4 [6,3,5,1,8,4,2,7]=>[3,6,4,8,1,5,7,2]=>[2,2,3,1]=>10101001=>6 [8,4,1,5,7,3,6,2]=>[1,5,8,4,2,6,3,7]=>[3,1,2,2]=>10011010=>5 [6,4,2,5,8,3,1,7]=>[3,5,7,4,1,6,8,2]=>[3,1,3,1]=>10011001=>4 [5,4,1,6,8,2,3,7]=>[4,5,8,3,1,7,6,2]=>[3,1,2,1,1]=>10011011=>4 [6,5,2,1,7,8,3,4]=>[3,4,7,8,2,1,6,5]=>[4,1,2,1]=>10001101=>4 [6,3,7,4,8,5,2,1]=>[3,6,2,5,1,4,7,8]=>[2,2,4]=>10101000=>5 [4,7,2,5,8,6,3,1]=>[5,2,7,4,1,3,6,8]=>[1,2,1,4]=>11011000=>3 [6,3,1,8,4,7,5,2]=>[3,6,8,1,5,2,4,7]=>[3,2,3]=>10010100=>5 [6,4,2,8,7,3,5,1]=>[3,5,7,1,2,6,4,8]=>[3,3,2]=>10010010=>5 [6,5,3,8,7,4,1,2]=>[3,4,6,1,2,5,8,7]=>[3,4,1]=>10010001=>4 [8,5,3,7,6,4,2,1]=>[1,4,6,2,3,5,7,8]=>[3,5]=>10010000=>3 [5,4,8,1,7,6,2,3]=>[4,5,1,8,2,3,7,6]=>[2,2,3,1]=>10101001=>6 [5,2,8,1,7,3,6,4]=>[4,7,1,8,2,6,3,5]=>[2,2,2,2]=>10101010=>7 [6,4,8,2,1,7,5,3]=>[3,5,1,7,8,2,4,6]=>[2,3,3]=>10100100=>5 [3,6,8,1,4,7,5,2]=>[6,3,1,8,5,2,4,7]=>[1,1,2,1,3]=>11101100=>3 [5,7,3,8,1,6,4,2]=>[4,2,6,1,8,3,5,7]=>[1,2,2,3]=>11010100=>5 [6,4,7,8,1,5,3,2]=>[3,5,2,1,8,4,6,7]=>[2,1,2,3]=>10110100=>5 [2,5,8,7,1,3,6,4]=>[7,4,1,2,8,6,3,5]=>[1,1,3,1,2]=>11100110=>3 [5,3,8,7,2,1,6,4]=>[4,6,1,2,7,8,3,5]=>[2,4,2]=>10100010=>5 [8,3,7,6,1,5,4,2]=>[1,6,2,3,8,4,5,7]=>[2,3,3]=>10100100=>5 [8,2,7,6,5,1,4,3]=>[1,7,2,3,4,8,5,6]=>[2,4,2]=>10100010=>5 [4,3,8,7,6,2,1,5]=>[5,6,1,2,3,7,8,4]=>[2,5,1]=>10100001=>4 [2,4,8,7,6,1,3,5]=>[7,5,1,2,3,8,6,4]=>[1,1,4,1,1]=>11100011=>2 [3,5,8,7,2,6,1,4]=>[6,4,1,2,7,3,8,5]=>[1,1,3,2,1]=>11100101=>4 [4,7,3,8,6,5,1,2]=>[5,2,6,1,3,4,8,7]=>[1,2,4,1]=>11010001=>4 [7,5,8,6,4,3,2,1]=>[2,4,1,3,5,6,7,8]=>[2,6]=>10100000=>3 [5,8,7,3,6,4,2,1]=>[4,1,2,6,3,5,7,8]=>[1,3,4]=>11001000=>3 [4,8,7,6,2,5,3,1]=>[5,1,2,3,7,4,6,8]=>[1,4,3]=>11000100=>3 [3,8,7,6,5,1,4,2]=>[6,1,2,3,4,8,5,7]=>[1,5,2]=>11000010=>3 [2,8,7,6,5,4,1,3]=>[7,1,2,3,4,5,8,6]=>[1,6,1]=>11000001=>2 [3,4,1,2,5,6,7,8,9]=>[7,6,9,8,5,4,3,2,1]=>[1,2,1,1,1,1,1,1]=>110111111=>2 [3,2,1,4,5,6,7,8,9]=>[7,8,9,6,5,4,3,2,1]=>[3,1,1,1,1,1,1]=>100111111=>2 [4,5,6,1,2,3,7,8,9]=>[6,5,4,9,8,7,3,2,1]=>[1,1,2,1,1,1,1,1]=>111011111=>2 [4,2,5,1,3,6,7,8,9]=>[6,8,5,9,7,4,3,2,1]=>[2,2,1,1,1,1,1]=>101011111=>4 [4,3,2,1,5,6,7,8,9]=>[6,7,8,9,5,4,3,2,1]=>[4,1,1,1,1,1]=>100011111=>2 [5,6,7,8,1,2,3,4,9]=>[5,4,3,2,9,8,7,6,1]=>[1,1,1,2,1,1,1,1]=>111101111=>2 [5,2,6,7,1,3,4,8,9]=>[5,8,4,3,9,7,6,2,1]=>[2,1,2,1,1,1,1]=>101101111=>4 [5,6,3,4,1,2,7,8,9]=>[5,4,7,6,9,8,3,2,1]=>[1,2,2,1,1,1,1]=>110101111=>4 [5,3,2,6,1,4,7,8,9]=>[5,7,8,4,9,6,3,2,1]=>[3,2,1,1,1,1]=>100101111=>4 [5,4,3,2,1,6,7,8,9]=>[5,6,7,8,9,4,3,2,1]=>[5,1,1,1,1]=>100001111=>2 [6,2,7,8,9,1,3,4,5]=>[4,8,3,2,1,9,7,6,5]=>[2,1,1,2,1,1,1]=>101110111=>4 [6,7,3,4,8,1,2,5,9]=>[4,3,7,6,2,9,8,5,1]=>[1,2,1,2,1,1,1]=>110110111=>4 [6,3,2,7,8,1,4,5,9]=>[4,7,8,3,2,9,6,5,1]=>[3,1,2,1,1,1]=>100110111=>4 [6,4,7,2,5,1,3,8,9]=>[4,6,3,8,5,9,7,2,1]=>[2,2,2,1,1,1]=>101010111=>6 [6,4,3,2,7,1,5,8,9]=>[4,6,7,8,3,9,5,2,1]=>[4,2,1,1,1]=>100010111=>4 [6,5,4,3,2,1,7,8,9]=>[4,5,6,7,8,9,3,2,1]=>[6,1,1,1]=>100000111=>2 [7,4,8,2,5,9,1,3,6]=>[3,6,2,8,5,1,9,7,4]=>[2,2,1,2,1,1]=>101011011=>6 [7,4,3,2,8,9,1,5,6]=>[3,6,7,8,2,1,9,5,4]=>[4,1,2,1,1]=>100011011=>4 [7,8,5,6,3,4,1,2,9]=>[3,2,5,4,7,6,9,8,1]=>[1,2,2,2,1,1]=>110101011=>6 [7,5,3,8,2,6,1,4,9]=>[3,5,7,2,8,4,9,6,1]=>[3,2,2,1,1]=>100101011=>6 [7,5,4,3,2,8,1,6,9]=>[3,5,6,7,8,2,9,4,1]=>[5,2,1,1]=>100001011=>4 [7,6,5,4,3,2,1,8,9]=>[3,4,5,6,7,8,9,2,1]=>[7,1,1]=>100000011=>2 [8,6,9,4,7,2,5,1,3]=>[2,4,1,6,3,8,5,9,7]=>[2,2,2,2,1]=>101010101=>8 [8,6,4,3,9,2,7,1,5]=>[2,4,6,7,1,8,3,9,5]=>[4,2,2,1]=>100010101=>6 [8,6,5,4,3,2,9,1,7]=>[2,4,5,6,7,8,1,9,3]=>[6,2,1]=>100000101=>4 [3,6,5,1,2,4,8,7]=>[6,3,4,8,7,5,1,2]=>[1,3,1,1,2]=>11001110=>3 [3,7,5,8,2,4,1,6]=>[6,2,4,1,7,5,8,3]=>[1,2,2,2,1]=>11010101=>6 [3,8,5,7,2,4,1,6]=>[6,1,4,2,7,5,8,3]=>[1,2,2,2,1]=>11010101=>6 [5,1,7,8,4,3,2,6]=>[4,8,2,1,5,6,7,3]=>[2,1,4,1]=>10110001=>4 [5,1,2,6,4,3,8,7]=>[4,8,7,3,5,6,1,2]=>[2,1,3,2]=>10110010=>5 [6,1,2,5,4,3,8,7]=>[3,8,7,4,5,6,1,2]=>[2,1,3,2]=>10110010=>5 [5,1,2,4,6,3,8,7]=>[4,8,7,5,3,6,1,2]=>[2,1,1,2,2]=>10111010=>5 [4,1,2,6,5,3,8,7]=>[5,8,7,3,4,6,1,2]=>[2,1,3,2]=>10110010=>5 [4,1,5,7,8,3,2,6]=>[5,8,4,2,1,6,7,3]=>[2,1,1,3,1]=>10111001=>4 [4,1,5,8,7,3,2,6]=>[5,8,4,1,2,6,7,3]=>[2,1,4,1]=>10110001=>4 [4,7,1,8,3,6,2,5]=>[5,2,8,1,6,3,7,4]=>[1,2,2,2,1]=>11010101=>6 [4,1,7,8,5,2,3,6]=>[5,8,2,1,4,7,6,3]=>[2,1,3,1,1]=>10110011=>4 [5,1,7,4,8,2,3,6]=>[4,8,2,5,1,7,6,3]=>[2,2,2,1,1]=>10101011=>6 [7,5,3,8,1,4,2,6]=>[2,4,6,1,8,5,7,3]=>[3,2,2,1]=>10010101=>6 [2,1,5,8,7,3,4,6]=>[7,8,4,1,2,6,5,3]=>[2,1,3,1,1]=>10110011=>4 [5,1,8,4,7,2,3,6]=>[4,8,1,5,2,7,6,3]=>[2,2,2,1,1]=>10101011=>6 [4,1,8,7,5,2,3,6]=>[5,8,1,2,4,7,6,3]=>[2,4,1,1]=>10100011=>4 [4,7,1,6,3,2,8,5]=>[5,2,8,3,6,7,1,4]=>[1,2,3,2]=>11010010=>5 [6,1,2,3,7,5,8,4]=>[3,8,7,6,2,4,1,5]=>[2,1,1,2,2]=>10111010=>5 [7,1,2,3,8,6,5,4]=>[2,8,7,6,1,3,4,5]=>[2,1,1,4]=>10111000=>3 [7,1,2,3,5,8,6,4]=>[2,8,7,6,4,1,3,5]=>[2,1,1,1,3]=>10111100=>3 [6,8,1,4,3,7,2,5]=>[3,1,8,5,6,2,7,4]=>[1,2,2,2,1]=>11010101=>6 [8,7,3,2,4,1,6,5]=>[1,2,6,7,5,8,3,4]=>[4,2,2]=>10001010=>5 [2,1,7,3,4,8,6,5]=>[7,8,2,6,5,1,3,4]=>[2,2,1,3]=>10101100=>5 [7,8,3,2,4,1,6,5]=>[2,1,6,7,5,8,3,4]=>[1,3,2,2]=>11001010=>5 [6,7,1,4,3,8,2,5]=>[3,2,8,5,6,1,7,4]=>[1,2,2,2,1]=>11010101=>6 [8,1,2,3,5,7,6,4]=>[1,8,7,6,4,2,3,5]=>[2,1,1,1,3]=>10111100=>3 [8,1,2,3,6,7,5,4]=>[1,8,7,6,3,2,4,5]=>[2,1,1,1,3]=>10111100=>3 [7,1,2,3,6,8,5,4]=>[2,8,7,6,3,1,4,5]=>[2,1,1,1,3]=>10111100=>3 [7,1,2,3,8,5,6,4]=>[2,8,7,6,1,4,3,5]=>[2,1,1,2,2]=>10111010=>5 [8,1,2,3,7,5,6,4]=>[1,8,7,6,2,4,3,5]=>[2,1,1,2,2]=>10111010=>5 [8,1,2,3,6,5,7,4]=>[1,8,7,6,3,4,2,5]=>[2,1,1,2,2]=>10111010=>5 [7,1,8,5,4,3,2,6]=>[2,8,1,4,5,6,7,3]=>[2,5,1]=>10100001=>4 [7,8,2,6,3,4,1,5]=>[2,1,7,3,6,5,8,4]=>[1,2,2,2,1]=>11010101=>6 [6,8,2,7,3,4,1,5]=>[3,1,7,2,6,5,8,4]=>[1,2,2,2,1]=>11010101=>6 [6,7,2,8,3,4,1,5]=>[3,2,7,1,6,5,8,4]=>[1,2,2,2,1]=>11010101=>6 [3,8,7,1,4,2,6,5]=>[6,1,2,8,5,7,3,4]=>[1,3,2,2]=>11001010=>5 [3,7,8,1,4,2,6,5]=>[6,2,1,8,5,7,3,4]=>[1,1,2,2,2]=>11101010=>5 [3,6,8,1,4,2,7,5]=>[6,3,1,8,5,7,2,4]=>[1,1,2,2,2]=>11101010=>5 [3,5,7,8,2,4,1,6]=>[6,4,2,1,7,5,8,3]=>[1,1,1,2,2,1]=>11110101=>4 [3,6,7,1,4,2,8,5]=>[6,3,2,8,5,7,1,4]=>[1,1,2,2,2]=>11101010=>5 [7,6,2,8,3,1,4,5]=>[2,3,7,1,6,8,5,4]=>[3,3,1,1]=>10010011=>4 [8,6,2,7,3,1,4,5]=>[1,3,7,2,6,8,5,4]=>[3,3,1,1]=>10010011=>4 [8,1,7,5,4,3,2,6]=>[1,8,2,4,5,6,7,3]=>[2,5,1]=>10100001=>4 [8,1,7,4,5,3,2,6]=>[1,8,2,5,4,6,7,3]=>[2,2,3,1]=>10101001=>6 [5,8,3,7,1,4,2,6]=>[4,1,6,2,8,5,7,3]=>[1,2,2,2,1]=>11010101=>6 [2,1,7,3,4,6,8,5]=>[7,8,2,6,5,3,1,4]=>[2,2,1,1,2]=>10101110=>5 [6,7,3,2,4,1,8,5]=>[3,2,6,7,5,8,1,4]=>[1,3,2,2]=>11001010=>5 [8,7,2,4,3,6,1,5]=>[1,2,7,5,6,3,8,4]=>[3,2,2,1]=>10010101=>6 [7,1,2,3,5,6,8,4]=>[2,8,7,6,4,3,1,5]=>[2,1,1,1,1,2]=>10111110=>3 [6,1,2,3,8,7,4,5]=>[3,8,7,6,1,2,5,4]=>[2,1,1,3,1]=>10111001=>4 [5,1,2,3,7,8,6,4]=>[4,8,7,6,2,1,3,5]=>[2,1,1,1,3]=>10111100=>3 [5,1,2,3,8,7,6,4]=>[4,8,7,6,1,2,3,5]=>[2,1,1,4]=>10111000=>3 [5,1,2,3,8,6,7,4]=>[4,8,7,6,1,3,2,5]=>[2,1,1,2,2]=>10111010=>5 [6,1,2,3,5,8,7,4]=>[3,8,7,6,4,1,2,5]=>[2,1,1,1,3]=>10111100=>3 [8,6,2,4,3,1,7,5]=>[1,3,7,5,6,8,2,4]=>[3,3,2]=>10010010=>5 [7,6,3,2,4,8,1,5]=>[2,3,6,7,5,1,8,4]=>[4,1,2,1]=>10001101=>4 [2,1,6,3,4,8,7,5]=>[7,8,3,6,5,1,2,4]=>[2,2,1,3]=>10101100=>5 [8,6,3,2,4,7,1,5]=>[1,3,6,7,5,2,8,4]=>[4,1,2,1]=>10001101=>4 [7,6,2,4,3,1,8,5]=>[2,3,7,5,6,8,1,4]=>[3,3,2]=>10010010=>5 [6,1,2,3,5,7,8,4]=>[3,8,7,6,4,2,1,5]=>[2,1,1,1,1,2]=>10111110=>3 [5,1,2,3,6,8,7,4]=>[4,8,7,6,3,1,2,5]=>[2,1,1,1,3]=>10111100=>3 [7,8,1,2,6,3,5,4]=>[2,1,8,7,3,6,4,5]=>[1,2,1,2,2]=>11011010=>5 [1,4,8,2,7,3,5,6]=>[8,5,1,7,2,6,4,3]=>[1,1,2,2,1,1]=>11101011=>4 [1,2,8,5,4,7,3,6]=>[8,7,1,4,5,2,6,3]=>[1,1,3,2,1]=>11100101=>4 [1,3,8,5,4,2,7,6]=>[8,6,1,4,5,7,2,3]=>[1,1,4,2]=>11100010=>3 [1,3,6,8,4,7,5,2]=>[8,6,3,1,5,2,4,7]=>[1,1,1,2,3]=>11110100=>3 [2,4,8,1,7,3,6,5]=>[7,5,1,8,2,6,3,4]=>[1,1,2,2,2]=>11101010=>5 [3,4,8,5,7,6,1,2]=>[6,5,1,4,2,3,8,7]=>[1,1,2,3,1]=>11101001=>4 [1,2,6,8,4,5,7,3]=>[8,7,3,1,5,4,2,6]=>[1,1,1,2,1,2]=>11110110=>3 [7,5,1,2,4,3,6,8]=>[2,4,8,7,5,6,3,1]=>[3,1,2,1,1]=>10011011=>4 [7,4,6,1,5,2,3,8]=>[2,5,3,8,4,7,6,1]=>[2,2,2,1,1]=>10101011=>6 [7,1,4,2,6,3,5,8]=>[2,8,5,7,3,6,4,1]=>[2,2,2,1,1]=>10101011=>6 [6,8,1,4,7,2,3,5]=>[3,1,8,5,2,7,6,4]=>[1,2,1,2,1,1]=>11011011=>4 [1,6,3,8,5,4,2,7]=>[8,3,6,1,4,5,7,2]=>[1,2,4,1]=>11010001=>4 [6,8,1,7,3,5,4,2]=>[3,1,8,2,6,4,5,7]=>[1,2,2,3]=>11010100=>5 [7,1,3,6,5,4,2,8]=>[2,8,6,3,4,5,7,1]=>[2,1,4,1]=>10110001=>4 [7,3,1,6,5,4,2,8]=>[2,6,8,3,4,5,7,1]=>[3,4,1]=>10010001=>4 [7,2,1,4,6,3,5,8]=>[2,7,8,5,3,6,4,1]=>[3,1,2,1,1]=>10011011=>4 [7,2,3,6,5,1,4,8]=>[2,7,6,3,4,8,5,1]=>[2,1,3,1,1]=>10110011=>4 [7,1,2,3,6,5,4,8]=>[2,8,7,6,3,4,5,1]=>[2,1,1,3,1]=>10111001=>4 [6,8,1,2,7,3,5,4]=>[3,1,8,7,2,6,4,5]=>[1,2,1,2,2]=>11011010=>5 [1,6,2,3,8,5,4,7]=>[8,3,7,6,1,4,5,2]=>[1,2,1,3,1]=>11011001=>4 [1,5,8,2,7,6,3,4]=>[8,4,1,7,2,3,6,5]=>[1,1,2,3,1]=>11101001=>4 [5,1,8,2,7,6,3,4]=>[4,8,1,7,2,3,6,5]=>[2,2,3,1]=>10101001=>6 [5,8,2,7,6,3,4,1]=>[4,1,7,2,3,6,5,8]=>[1,2,3,2]=>11010010=>5 [6,2,8,1,7,3,5,4]=>[3,7,1,8,2,6,4,5]=>[2,2,2,2]=>10101010=>7 [6,8,2,1,7,4,3,5]=>[3,1,7,8,2,5,6,4]=>[1,3,3,1]=>11001001=>4 [2,1,6,3,8,5,4,7]=>[7,8,3,6,1,4,5,2]=>[2,2,3,1]=>10101001=>6 [2,5,1,8,7,6,3,4]=>[7,4,8,1,2,3,6,5]=>[1,2,4,1]=>11010001=>4 [2,5,3,8,7,4,6,1]=>[7,4,6,1,2,5,3,8]=>[1,2,3,2]=>11010010=>5 [2,4,8,7,6,5,1,3]=>[7,5,1,2,3,4,8,6]=>[1,1,5,1]=>11100001=>2 [2,5,3,8,7,1,6,4]=>[7,4,6,1,2,8,3,5]=>[1,2,3,2]=>11010010=>5 [2,5,8,4,1,7,6,3]=>[7,4,1,5,8,2,3,6]=>[1,1,3,3]=>11100100=>3 [3,5,8,7,1,4,2,6]=>[6,4,1,2,8,5,7,3]=>[1,1,3,2,1]=>11100101=>4 [5,3,8,4,1,7,6,2]=>[4,6,1,5,8,2,3,7]=>[2,3,3]=>10100100=>5 [4,2,8,7,6,5,3,1]=>[5,7,1,2,3,4,6,8]=>[2,6]=>10100000=>3 [4,1,8,7,6,5,3,2]=>[5,8,1,2,3,4,6,7]=>[2,6]=>10100000=>3 [4,3,8,7,6,5,1,2]=>[5,6,1,2,3,4,8,7]=>[2,5,1]=>10100001=>4 [5,8,3,7,6,1,4,2]=>[4,1,6,2,3,8,5,7]=>[1,2,3,2]=>11010010=>5 [1,5,3,8,7,6,2,4]=>[8,4,6,1,2,3,7,5]=>[1,2,4,1]=>11010001=>4 [1,5,8,4,7,2,6,3]=>[8,4,1,5,2,7,3,6]=>[1,1,2,2,2]=>11101010=>5 [5,1,8,4,7,2,6,3]=>[4,8,1,5,2,7,3,6]=>[2,2,2,2]=>10101010=>7 [5,8,7,4,6,1,2,3]=>[4,1,2,5,3,8,7,6]=>[1,3,2,1,1]=>11001011=>4 [5,6,3,1,2,4,8,7]=>[4,3,6,8,7,5,1,2]=>[1,3,1,1,2]=>11001110=>3 [5,6,2,4,3,1,8,7]=>[4,3,7,5,6,8,1,2]=>[1,2,3,2]=>11010010=>5 [5,6,1,2,4,3,8,7]=>[4,3,8,7,5,6,1,2]=>[1,2,1,2,2]=>11011010=>5 [4,5,8,1,7,2,3,6]=>[5,4,1,8,2,7,6,3]=>[1,1,2,2,1,1]=>11101011=>4 [4,5,8,1,7,2,6,3]=>[5,4,1,8,2,7,3,6]=>[1,1,2,2,2]=>11101010=>5 [1,3,2,5,8,7,4,6]=>[8,6,7,4,1,2,5,3]=>[1,2,1,3,1]=>11011001=>4 [3,5,1,8,7,4,6,2]=>[6,4,8,1,2,5,3,7]=>[1,2,3,2]=>11010010=>5 [3,5,1,8,7,2,6,4]=>[6,4,8,1,2,7,3,5]=>[1,2,3,2]=>11010010=>5 [4,3,6,1,2,8,5,7]=>[5,6,3,8,7,1,4,2]=>[2,2,1,2,1]=>10101101=>6 [4,5,8,3,1,7,2,6]=>[5,4,1,6,8,2,7,3]=>[1,1,3,2,1]=>11100101=>4 [4,5,2,8,7,1,3,6]=>[5,4,7,1,2,8,6,3]=>[1,2,3,1,1]=>11010011=>4 [3,2,5,8,7,1,6,4]=>[6,7,4,1,2,8,3,5]=>[2,1,3,2]=>10110010=>5 [3,4,8,7,6,2,1,5]=>[6,5,1,2,3,7,8,4]=>[1,1,5,1]=>11100001=>2 [3,1,4,8,7,6,2,5]=>[6,8,5,1,2,3,7,4]=>[2,1,4,1]=>10110001=>4 [3,4,8,7,6,5,1,2]=>[6,5,1,2,3,4,8,7]=>[1,1,5,1]=>11100001=>2 [1,3,4,8,7,6,2,5]=>[8,6,5,1,2,3,7,4]=>[1,1,1,4,1]=>11110001=>2 [3,2,5,8,7,4,6,1]=>[6,7,4,1,2,5,3,8]=>[2,1,3,2]=>10110010=>5 [4,5,8,3,1,7,6,2]=>[5,4,1,6,8,2,3,7]=>[1,1,3,3]=>11100100=>3 [1,2,7,5,8,6,4,3]=>[8,7,2,4,1,3,5,6]=>[1,1,2,4]=>11101000=>3 [7,1,4,8,2,6,5,3]=>[2,8,5,1,7,3,4,6]=>[2,1,2,3]=>10110100=>5 [6,8,1,3,7,5,2,4]=>[3,1,8,6,2,4,7,5]=>[1,2,1,3,1]=>11011001=>4 [3,7,8,1,2,6,5,4]=>[6,2,1,8,7,3,4,5]=>[1,1,2,1,3]=>11101100=>3 [1,3,7,8,2,6,5,4]=>[8,6,2,1,7,3,4,5]=>[1,1,1,2,3]=>11110100=>3 [2,3,7,8,1,6,5,4]=>[7,6,2,1,8,3,4,5]=>[1,1,1,2,3]=>11110100=>3 [2,7,8,1,3,6,5,4]=>[7,2,1,8,6,3,4,5]=>[1,1,2,1,3]=>11101100=>3 [8,1,2,6,7,3,5,4]=>[1,8,7,3,2,6,4,5]=>[2,1,1,2,2]=>10111010=>5 [8,1,2,6,7,5,3,4]=>[1,8,7,3,2,4,6,5]=>[2,1,1,3,1]=>10111001=>4 [8,2,5,7,1,3,6,4]=>[1,7,4,2,8,6,3,5]=>[2,1,2,1,2]=>10110110=>5 [2,8,1,6,7,3,5,4]=>[7,1,8,3,2,6,4,5]=>[1,2,1,2,2]=>11011010=>5 [2,6,8,3,7,1,5,4]=>[7,3,1,6,2,8,4,5]=>[1,1,2,2,2]=>11101010=>5 [2,8,6,4,7,1,5,3]=>[7,1,3,5,2,8,4,6]=>[1,3,2,2]=>11001010=>5 [6,8,3,4,1,7,5,2]=>[3,1,6,5,8,2,4,7]=>[1,2,2,3]=>11010100=>5 [6,8,3,7,4,1,5,2]=>[3,1,6,2,5,8,4,7]=>[1,2,3,2]=>11010010=>5 [2,6,8,3,7,5,1,4]=>[7,3,1,6,2,4,8,5]=>[1,1,2,3,1]=>11101001=>4 [2,8,1,6,7,5,3,4]=>[7,1,8,3,2,4,6,5]=>[1,2,1,3,1]=>11011001=>4 [8,2,5,7,1,6,3,4]=>[1,7,4,2,8,3,6,5]=>[2,1,2,2,1]=>10110101=>6 [8,4,7,2,3,6,1,5]=>[1,5,2,7,6,3,8,4]=>[2,2,1,2,1]=>10101101=>6 [8,5,7,4,2,6,1,3]=>[1,4,2,5,7,3,8,6]=>[2,3,2,1]=>10100101=>6 [8,3,5,7,4,1,6,2]=>[1,6,4,2,5,8,3,7]=>[2,1,3,2]=>10110010=>5 [8,5,2,4,7,1,6,3]=>[1,4,7,5,2,8,3,6]=>[3,1,2,2]=>10011010=>5 [8,2,3,5,7,1,6,4]=>[1,7,6,4,2,8,3,5]=>[2,1,1,2,2]=>10111010=>5 [8,2,4,7,3,6,1,5]=>[1,7,5,2,6,3,8,4]=>[2,1,2,2,1]=>10110101=>6 [8,2,7,1,4,6,3,5]=>[1,7,2,8,5,3,6,4]=>[2,2,1,2,1]=>10101101=>6 [8,7,1,2,4,6,3,5]=>[1,2,8,7,5,3,6,4]=>[3,1,1,2,1]=>10011101=>4 [8,7,1,4,6,2,3,5]=>[1,2,8,5,3,7,6,4]=>[3,1,2,1,1]=>10011011=>4 [8,4,7,1,3,6,2,5]=>[1,5,2,8,6,3,7,4]=>[2,2,1,2,1]=>10101101=>6 [1,6,8,3,7,2,5,4]=>[8,3,1,6,2,7,4,5]=>[1,1,2,2,2]=>11101010=>5 [8,3,5,7,1,2,6,4]=>[1,6,4,2,8,7,3,5]=>[2,1,2,1,2]=>10110110=>5 [5,8,7,1,3,6,2,4]=>[4,1,2,8,6,3,7,5]=>[1,3,1,2,1]=>11001101=>4 [8,5,4,7,1,6,2,3]=>[1,4,5,2,8,3,7,6]=>[3,2,2,1]=>10010101=>6 [8,5,1,4,7,2,6,3]=>[1,4,8,5,2,7,3,6]=>[3,1,2,2]=>10011010=>5 [1,4,6,8,2,7,5,3]=>[8,5,3,1,7,2,4,6]=>[1,1,1,2,3]=>11110100=>3 [1,6,5,8,2,7,4,3]=>[8,3,4,1,7,2,5,6]=>[1,2,2,3]=>11010100=>5 [8,5,6,3,1,7,4,2]=>[1,4,3,6,8,2,5,7]=>[2,3,3]=>10100100=>5 [5,6,2,8,1,7,4,3]=>[4,3,7,1,8,2,5,6]=>[1,2,2,3]=>11010100=>5 [1,8,4,5,7,2,6,3]=>[8,1,5,4,2,7,3,6]=>[1,2,1,2,2]=>11011010=>5 [5,8,7,3,6,1,2,4]=>[4,1,2,6,3,8,7,5]=>[1,3,2,1,1]=>11001011=>4 [8,3,5,7,1,6,2,4]=>[1,6,4,2,8,3,7,5]=>[2,1,2,2,1]=>10110101=>6 [1,6,8,3,7,5,2,4]=>[8,3,1,6,2,4,7,5]=>[1,1,2,3,1]=>11101001=>4 [6,3,8,2,7,5,1,4]=>[3,6,1,7,2,4,8,5]=>[2,2,3,1]=>10101001=>6 [6,8,4,2,7,1,5,3]=>[3,1,5,7,2,8,4,6]=>[1,3,2,2]=>11001010=>5 [8,6,4,7,3,1,5,2]=>[1,3,5,2,6,8,4,7]=>[3,3,2]=>10010010=>5 [8,4,5,7,3,1,6,2]=>[1,5,4,2,6,8,3,7]=>[2,1,3,2]=>10110010=>5 [8,4,2,5,7,1,6,3]=>[1,5,7,4,2,8,3,6]=>[3,1,2,2]=>10011010=>5 [8,3,4,7,2,6,1,5]=>[1,6,5,2,7,3,8,4]=>[2,1,2,2,1]=>10110101=>6 [8,7,1,3,4,6,2,5]=>[1,2,8,6,5,3,7,4]=>[3,1,1,2,1]=>10011101=>4 [8,3,7,2,4,6,1,5]=>[1,6,2,7,5,3,8,4]=>[2,2,1,2,1]=>10101101=>6 [2,8,4,5,7,1,6,3]=>[7,1,5,4,2,8,3,6]=>[1,2,1,2,2]=>11011010=>5 [8,7,3,4,5,1,6,2]=>[1,2,6,5,4,8,3,7]=>[3,1,2,2]=>10011010=>5 [8,7,4,5,2,6,1,3]=>[1,2,5,4,7,3,8,6]=>[3,2,2,1]=>10010101=>6 [5,8,7,2,3,6,1,4]=>[4,1,2,7,6,3,8,5]=>[1,3,1,2,1]=>11001101=>4 [8,7,2,3,4,6,1,5]=>[1,2,7,6,5,3,8,4]=>[3,1,1,2,1]=>10011101=>4 [8,7,2,3,6,1,4,5]=>[1,2,7,6,3,8,5,4]=>[3,1,2,1,1]=>10011011=>4 [1,3,2,8,5,4,7,6]=>[8,6,7,1,4,5,2,3]=>[1,2,3,2]=>11010010=>5 [4,2,8,5,3,7,1,6]=>[5,7,1,4,6,2,8,3]=>[2,3,2,1]=>10100101=>6 [5,2,1,8,4,3,7,6]=>[4,7,8,1,5,6,2,3]=>[3,3,2]=>10010010=>5 [6,2,8,4,3,7,5,1]=>[3,7,1,5,6,2,4,8]=>[2,3,3]=>10100100=>5 [7,2,8,4,3,1,6,5]=>[2,7,1,5,6,8,3,4]=>[2,4,2]=>10100010=>5 [7,3,4,8,2,1,6,5]=>[2,6,5,1,7,8,3,4]=>[2,1,3,2]=>10110010=>5 [6,3,4,8,2,7,5,1]=>[3,6,5,1,7,2,4,8]=>[2,1,2,3]=>10110100=>5 [5,3,4,1,8,2,7,6]=>[4,6,5,8,1,7,2,3]=>[2,2,2,2]=>10101010=>7 [8,1,4,5,2,3,7,6]=>[1,8,5,4,7,6,2,3]=>[2,1,2,1,2]=>10110110=>5 [8,1,5,4,3,2,7,6]=>[1,8,4,5,6,7,2,3]=>[2,4,2]=>10100010=>5 [3,5,4,2,8,1,7,6]=>[6,4,5,7,1,8,2,3]=>[1,3,2,2]=>11001010=>5 [4,5,3,2,8,7,1,6]=>[5,4,6,7,1,2,8,3]=>[1,3,3,1]=>11001001=>4 [6,4,3,2,8,7,5,1]=>[3,5,6,7,1,2,4,8]=>[4,4]=>10001000=>3 [6,5,3,2,1,7,8,4]=>[3,4,6,7,8,2,1,5]=>[5,1,2]=>10000110=>3 [5,6,3,2,7,8,4,1]=>[4,3,6,7,2,1,5,8]=>[1,3,1,3]=>11001100=>3 [4,1,6,3,2,7,8,5]=>[5,8,3,6,7,2,1,4]=>[2,3,1,2]=>10100110=>5 [3,6,4,2,7,8,1,5]=>[6,3,5,7,2,1,8,4]=>[1,3,1,2,1]=>11001101=>4 [8,1,6,4,3,7,2,5]=>[1,8,3,5,6,2,7,4]=>[2,3,2,1]=>10100101=>6 [8,1,7,4,3,6,5,2]=>[1,8,2,5,6,3,4,7]=>[2,3,3]=>10100100=>5 [2,7,4,1,3,6,5,8]=>[7,2,5,8,6,3,4,1]=>[1,3,1,2,1]=>11001101=>4 [3,7,4,2,6,1,5,8]=>[6,2,5,7,3,8,4,1]=>[1,3,2,1,1]=>11001011=>4 [4,1,7,3,2,6,5,8]=>[5,8,2,6,7,3,4,1]=>[2,3,2,1]=>10100101=>6 [5,7,3,2,6,4,8,1]=>[4,2,6,7,3,5,1,8]=>[1,3,2,2]=>11001010=>5 [6,7,3,2,5,4,1,8]=>[3,2,6,7,4,5,8,1]=>[1,3,3,1]=>11001001=>4 [7,6,3,2,1,5,4,8]=>[2,3,6,7,8,4,5,1]=>[5,2,1]=>10000101=>4 [4,7,5,6,2,3,8,1]=>[5,2,4,3,7,6,1,8]=>[1,2,2,1,2]=>11010110=>5 [3,1,7,5,6,2,4,8]=>[6,8,2,4,3,7,5,1]=>[2,2,2,1,1]=>10101011=>6 [2,7,5,6,1,3,4,8]=>[7,2,4,3,8,6,5,1]=>[1,2,2,1,1,1]=>11010111=>4 [2,6,5,7,1,3,8,4]=>[7,3,4,2,8,6,1,5]=>[1,2,2,1,2]=>11010110=>5 [4,6,5,7,2,8,1,3]=>[5,3,4,2,7,1,8,6]=>[1,2,2,2,1]=>11010101=>6 [5,6,4,7,2,8,3,1]=>[4,3,5,2,7,1,6,8]=>[1,2,2,3]=>11010100=>5 [6,5,4,1,7,2,8,3]=>[3,4,5,8,2,7,1,6]=>[4,2,2]=>10001010=>5 [7,5,4,6,2,1,8,3]=>[2,4,5,3,7,8,1,6]=>[3,3,2]=>10010010=>5 [6,4,5,7,1,8,2,3]=>[3,5,4,2,8,1,7,6]=>[2,1,2,2,1]=>10110101=>6 [5,4,6,1,7,8,2,3]=>[4,5,3,8,2,1,7,6]=>[2,2,1,2,1]=>10101101=>6 [8,1,5,6,7,2,3,4]=>[1,8,4,3,2,7,6,5]=>[2,1,1,2,1,1]=>10111011=>4 [2,1,4,6,8,7,3,5]=>[7,8,5,3,1,2,6,4]=>[2,1,1,3,1]=>10111001=>4 [3,4,6,8,7,1,2,5]=>[6,5,3,1,2,8,7,4]=>[1,1,1,3,1,1]=>11110011=>2 [4,3,1,6,8,7,2,5]=>[5,6,8,3,1,2,7,4]=>[3,1,3,1]=>10011001=>4 [5,3,6,8,7,2,4,1]=>[4,6,3,1,2,7,5,8]=>[2,1,3,2]=>10110010=>5 [6,3,5,1,8,7,2,4]=>[3,6,4,8,1,2,7,5]=>[2,2,3,1]=>10101001=>6 [7,3,5,8,6,2,1,4]=>[2,6,4,1,3,7,8,5]=>[2,1,4,1]=>10110001=>4 [7,2,8,5,6,3,1,4]=>[2,7,1,4,3,6,8,5]=>[2,2,3,1]=>10101001=>6 [6,2,8,5,1,7,3,4]=>[3,7,1,4,8,2,6,5]=>[2,3,2,1]=>10100101=>6 [4,2,1,8,6,7,3,5]=>[5,7,8,1,3,2,6,4]=>[3,2,2,1]=>10010101=>6 [1,3,2,8,6,7,4,5]=>[8,6,7,1,3,2,5,4]=>[1,2,2,2,1]=>11010101=>6 [2,3,8,6,7,1,4,5]=>[7,6,1,3,2,8,5,4]=>[1,1,2,2,1,1]=>11101011=>4 [8,1,3,2,6,7,4,5]=>[1,8,6,7,3,2,5,4]=>[2,2,1,2,1]=>10101101=>6 [2,3,8,7,1,6,5,4]=>[7,6,1,2,8,3,4,5]=>[1,1,3,3]=>11100100=>3 [4,2,8,7,6,1,5,3]=>[5,7,1,2,3,8,4,6]=>[2,4,2]=>10100010=>5 [5,2,8,7,6,4,1,3]=>[4,7,1,2,3,5,8,6]=>[2,5,1]=>10100001=>4 [7,2,1,8,6,5,4,3]=>[2,7,8,1,3,4,5,6]=>[3,5]=>10010000=>3 [7,3,6,1,8,5,4,2]=>[2,6,3,8,1,4,5,7]=>[2,2,4]=>10101000=>5 [6,3,7,8,5,4,2,1]=>[3,6,2,1,4,5,7,8]=>[2,1,5]=>10110000=>3 [5,3,7,8,6,4,1,2]=>[4,6,2,1,3,5,8,7]=>[2,1,4,1]=>10110001=>4 [4,3,1,7,8,6,5,2]=>[5,6,8,2,1,3,4,7]=>[3,1,4]=>10011000=>3 [3,4,7,8,6,1,5,2]=>[6,5,2,1,3,8,4,7]=>[1,1,1,3,2]=>11110010=>3 [8,1,5,7,6,2,4,3]=>[1,8,4,2,3,7,5,6]=>[2,1,3,2]=>10110010=>5 [3,5,7,6,8,1,4,2]=>[6,4,2,3,1,8,5,7]=>[1,1,2,2,2]=>11101010=>5 [4,5,7,6,8,3,1,2]=>[5,4,2,3,1,6,8,7]=>[1,1,2,3,1]=>11101001=>4 [5,4,1,7,6,8,3,2]=>[4,5,8,2,3,1,6,7]=>[3,2,3]=>10010100=>5 [6,4,7,5,8,3,2,1]=>[3,5,2,4,1,6,7,8]=>[2,2,4]=>10101000=>5 [7,4,6,5,1,8,3,2]=>[2,5,3,4,8,1,6,7]=>[2,3,3]=>10100100=>5 [7,5,6,4,3,1,8,2]=>[2,4,3,5,6,8,1,7]=>[2,4,2]=>10100010=>5 [6,5,1,7,4,3,8,2]=>[3,4,8,2,5,6,1,7]=>[3,3,2]=>10010010=>5 [4,6,7,5,3,8,1,2]=>[5,3,2,4,6,1,8,7]=>[1,1,3,2,1]=>11100101=>4 [3,6,7,5,1,4,8,2]=>[6,3,2,4,8,5,1,7]=>[1,1,3,1,2]=>11100110=>3 [8,1,6,7,5,4,2,3]=>[1,8,3,2,4,5,7,6]=>[2,1,4,1]=>10110001=>4 [8,1,7,6,5,4,3,2]=>[1,8,2,3,4,5,6,7]=>[2,6]=>10100000=>3 [2,7,6,1,5,4,3,8]=>[7,2,3,8,4,5,6,1]=>[1,3,3,1]=>11001001=>4 [3,7,6,5,1,4,2,8]=>[6,2,3,4,8,5,7,1]=>[1,4,2,1]=>11000101=>4 [4,7,6,5,3,1,2,8]=>[5,2,3,4,6,8,7,1]=>[1,5,1,1]=>11000011=>2 [8,6,4,3,1,5,7,2]=>[1,3,5,6,8,4,2,7]=>[5,1,2]=>10000110=>3 [8,6,4,1,5,2,7,3]=>[1,3,5,8,4,7,2,6]=>[4,2,2]=>10001010=>5 [8,6,5,1,3,2,7,4]=>[1,3,4,8,6,7,2,5]=>[4,2,2]=>10001010=>5 [8,6,3,1,7,2,4,5]=>[1,3,6,8,2,7,5,4]=>[4,2,1,1]=>10001011=>4 [8,7,3,1,5,2,4,6]=>[1,2,6,8,4,7,5,3]=>[4,2,1,1]=>10001011=>4 [5,3,1,7,2,4,6,8]=>[4,6,8,2,7,5,3,1]=>[3,2,1,1,1]=>10010111=>4 [8,7,1,2,4,5,3,6]=>[1,2,8,7,5,4,6,3]=>[3,1,1,2,1]=>10011101=>4 [8,6,1,2,4,7,3,5]=>[1,3,8,7,5,2,6,4]=>[3,1,1,2,1]=>10011101=>4 [8,5,1,2,6,7,3,4]=>[1,4,8,7,3,2,6,5]=>[3,1,1,2,1]=>10011101=>4 [8,5,1,6,4,2,7,3]=>[1,4,8,3,5,7,2,6]=>[3,3,2]=>10010010=>5 [8,5,1,3,6,4,7,2]=>[1,4,8,6,3,5,2,7]=>[3,1,2,2]=>10011010=>5 [8,6,1,5,3,4,7,2]=>[1,3,8,4,6,5,2,7]=>[3,2,1,2]=>10010110=>5 [8,6,1,5,2,4,7,3]=>[1,3,8,4,7,5,2,6]=>[3,2,1,2]=>10010110=>5 [8,6,1,2,5,7,3,4]=>[1,3,8,7,4,2,6,5]=>[3,1,1,2,1]=>10011101=>4 [8,6,1,2,7,4,3,5]=>[1,3,8,7,2,5,6,4]=>[3,1,3,1]=>10011001=>4 [8,7,1,2,5,4,3,6]=>[1,2,8,7,4,5,6,3]=>[3,1,3,1]=>10011001=>4 [5,1,4,2,3,8,6,7]=>[4,8,5,7,6,1,3,2]=>[2,2,1,2,1]=>10101101=>6 [5,1,4,2,7,3,6,8]=>[4,8,5,7,2,6,3,1]=>[2,2,2,1,1]=>10101011=>6 [7,1,5,8,2,6,3,4]=>[2,8,4,1,7,3,6,5]=>[2,1,2,2,1]=>10110101=>6 [5,7,8,1,2,4,6,3]=>[4,2,1,8,7,5,3,6]=>[1,1,2,1,1,2]=>11101110=>3 [5,7,8,1,3,4,6,2]=>[4,2,1,8,6,5,3,7]=>[1,1,2,1,1,2]=>11101110=>3 [5,8,1,7,3,4,6,2]=>[4,1,8,2,6,5,3,7]=>[1,2,2,1,2]=>11010110=>5 [8,1,5,7,2,4,6,3]=>[1,8,4,2,7,5,3,6]=>[2,1,2,1,2]=>10110110=>5 [8,4,1,2,7,6,3,5]=>[1,5,8,7,2,3,6,4]=>[3,1,3,1]=>10011001=>4 [1,4,2,3,8,7,5,6]=>[8,5,7,6,1,2,4,3]=>[1,2,1,3,1]=>11011001=>4 [1,4,2,7,6,3,5,8]=>[8,5,7,2,3,6,4,1]=>[1,2,3,1,1]=>11010011=>4 [6,1,2,8,7,5,3,4]=>[3,8,7,1,2,4,6,5]=>[2,1,4,1]=>10110001=>4 [6,1,2,4,8,7,5,3]=>[3,8,7,5,1,2,4,6]=>[2,1,1,4]=>10111000=>3 [3,1,8,4,6,7,5,2]=>[6,8,1,5,3,2,4,7]=>[2,2,1,3]=>10101100=>5 [7,1,2,4,6,8,5,3]=>[2,8,7,5,3,1,4,6]=>[2,1,1,1,3]=>10111100=>3 [7,1,2,6,8,5,3,4]=>[2,8,7,3,1,4,6,5]=>[2,1,1,3,1]=>10111001=>4 [6,1,2,7,8,5,3,4]=>[3,8,7,2,1,4,6,5]=>[2,1,1,3,1]=>10111001=>4 [6,1,2,7,4,8,5,3]=>[3,8,7,2,5,1,4,6]=>[2,1,2,3]=>10110100=>5 [3,1,6,4,7,8,5,2]=>[6,8,3,5,2,1,4,7]=>[2,2,1,3]=>10101100=>5 [5,7,1,3,8,4,6,2]=>[4,2,8,6,1,5,3,7]=>[1,2,1,2,2]=>11011010=>5 [5,7,1,8,4,2,6,3]=>[4,2,8,1,5,7,3,6]=>[1,2,3,2]=>11010010=>5 [7,1,5,3,2,8,6,4]=>[2,8,4,6,7,1,3,5]=>[2,3,3]=>10100100=>5 [7,1,4,5,2,8,6,3]=>[2,8,5,4,7,1,3,6]=>[2,1,2,3]=>10110100=>5 [4,7,3,1,5,8,6,2]=>[5,2,6,8,4,1,3,7]=>[1,3,1,3]=>11001100=>3 [4,8,7,3,1,5,6,2]=>[5,1,2,6,8,4,3,7]=>[1,4,1,2]=>11000110=>3 [8,1,7,4,5,2,6,3]=>[1,8,2,5,4,7,3,6]=>[2,2,2,2]=>10101010=>7 [8,1,7,5,3,2,6,4]=>[1,8,2,4,6,7,3,5]=>[2,4,2]=>10100010=>5 [8,3,7,1,2,6,4,5]=>[1,6,2,8,7,3,5,4]=>[2,2,1,2,1]=>10101101=>6 [3,1,2,8,4,7,5,6]=>[6,8,7,1,5,2,4,3]=>[2,1,2,2,1]=>10110101=>6 [3,1,2,8,6,4,5,7]=>[6,8,7,1,3,5,4,2]=>[2,1,3,1,1]=>10110011=>4 [3,1,7,2,6,4,5,8]=>[6,8,2,7,3,5,4,1]=>[2,2,2,1,1]=>10101011=>6 [1,4,2,3,8,6,5,7]=>[8,5,7,6,1,3,4,2]=>[1,2,1,3,1]=>11011001=>4 [1,4,2,3,8,5,7,6]=>[8,5,7,6,1,4,2,3]=>[1,2,1,2,2]=>11011010=>5 [5,8,1,7,2,4,6,3]=>[4,1,8,2,7,5,3,6]=>[1,2,2,1,2]=>11010110=>5 [5,8,1,3,4,7,6,2]=>[4,1,8,6,5,2,3,7]=>[1,2,1,1,3]=>11011100=>3 [3,1,8,6,4,7,5,2]=>[6,8,1,3,5,2,4,7]=>[2,3,3]=>10100100=>5 [8,1,2,6,7,4,5,3]=>[1,8,7,3,2,5,4,6]=>[2,1,1,2,2]=>10111010=>5 [6,1,2,8,7,3,5,4]=>[3,8,7,1,2,6,4,5]=>[2,1,3,2]=>10110010=>5 [1,2,3,5,8,4,7,6]=>[8,7,6,4,1,5,2,3]=>[1,1,1,1,2,2]=>11111010=>3 [1,2,3,5,8,6,4,7]=>[8,7,6,4,1,3,5,2]=>[1,1,1,1,3,1]=>11111001=>2 [7,1,2,8,3,6,5,4]=>[2,8,7,1,6,3,4,5]=>[2,1,2,3]=>10110100=>5 [7,1,2,8,6,4,5,3]=>[2,8,7,1,3,5,4,6]=>[2,1,3,2]=>10110010=>5 [3,1,7,8,4,6,5,2]=>[6,8,2,1,5,3,4,7]=>[2,1,2,3]=>10110100=>5 [3,1,8,7,6,4,5,2]=>[6,8,1,2,3,5,4,7]=>[2,4,2]=>10100010=>5 [8,1,2,7,4,6,5,3]=>[1,8,7,2,5,3,4,6]=>[2,1,2,3]=>10110100=>5 [8,1,2,7,3,6,5,4]=>[1,8,7,2,6,3,4,5]=>[2,1,2,3]=>10110100=>5 [1,2,3,5,8,7,4,6]=>[8,7,6,4,1,2,5,3]=>[1,1,1,1,3,1]=>11111001=>2 [1,2,3,6,8,5,4,7]=>[8,7,6,3,1,4,5,2]=>[1,1,1,1,3,1]=>11111001=>2 [7,8,5,6,3,1,4,2]=>[2,1,4,3,6,8,5,7]=>[1,2,3,2]=>11010010=>5 [7,8,5,3,6,1,2,4]=>[2,1,4,6,3,8,7,5]=>[1,3,2,1,1]=>11001011=>4 [7,5,6,3,1,4,2,8]=>[2,4,3,6,8,5,7,1]=>[2,3,2,1]=>10100101=>6 [7,5,8,3,1,4,2,6]=>[2,4,1,6,8,5,7,3]=>[2,3,2,1]=>10100101=>6 [7,8,5,3,1,4,2,6]=>[2,1,4,6,8,5,7,3]=>[1,4,2,1]=>11000101=>4 [7,8,5,3,1,6,2,4]=>[2,1,4,6,8,3,7,5]=>[1,4,2,1]=>11000101=>4 [7,8,5,3,1,6,4,2]=>[2,1,4,6,8,3,5,7]=>[1,4,3]=>11000100=>3 [7,8,5,3,6,1,4,2]=>[2,1,4,6,3,8,5,7]=>[1,3,2,2]=>11001010=>5 [7,8,5,3,6,4,1,2]=>[2,1,4,6,3,5,8,7]=>[1,3,3,1]=>11001001=>4 [7,8,5,3,4,1,6,2]=>[2,1,4,6,5,8,3,7]=>[1,3,2,2]=>11001010=>5 [7,8,5,3,1,4,6,2]=>[2,1,4,6,8,5,3,7]=>[1,4,1,2]=>11000110=>3 [7,8,5,3,1,2,6,4]=>[2,1,4,6,8,7,3,5]=>[1,4,1,2]=>11000110=>3 [7,5,3,8,1,2,6,4]=>[2,4,6,1,8,7,3,5]=>[3,2,1,2]=>10010110=>5 [7,5,8,3,4,1,6,2]=>[2,4,1,6,5,8,3,7]=>[2,2,2,2]=>10101010=>7 [7,5,8,3,4,6,1,2]=>[2,4,1,6,5,3,8,7]=>[2,2,1,2,1]=>10101101=>6 [7,5,6,3,4,1,8,2]=>[2,4,3,6,5,8,1,7]=>[2,2,2,2]=>10101010=>7 [7,5,6,3,1,4,8,2]=>[2,4,3,6,8,5,1,7]=>[2,3,1,2]=>10100110=>5 [7,5,6,3,1,2,8,4]=>[2,4,3,6,8,7,1,5]=>[2,3,1,2]=>10100110=>5 [7,5,3,6,1,2,8,4]=>[2,4,6,3,8,7,1,5]=>[3,2,1,2]=>10010110=>5 [7,5,3,4,1,2,8,6]=>[2,4,6,5,8,7,1,3]=>[3,2,1,2]=>10010110=>5 [7,5,3,1,4,2,6,8]=>[2,4,6,8,5,7,3,1]=>[4,2,1,1]=>10001011=>4 [7,5,3,1,4,2,8,6]=>[2,4,6,8,5,7,1,3]=>[4,2,2]=>10001010=>5 [7,5,3,1,6,2,8,4]=>[2,4,6,8,3,7,1,5]=>[4,2,2]=>10001010=>5 [7,5,3,1,6,4,8,2]=>[2,4,6,8,3,5,1,7]=>[4,2,2]=>10001010=>5 [7,5,3,6,1,4,8,2]=>[2,4,6,3,8,5,1,7]=>[3,2,1,2]=>10010110=>5 [7,5,3,6,4,1,8,2]=>[2,4,6,3,5,8,1,7]=>[3,3,2]=>10010010=>5 [7,5,3,6,4,8,1,2]=>[2,4,6,3,5,1,8,7]=>[3,2,2,1]=>10010101=>6 [7,5,3,8,4,6,1,2]=>[2,4,6,1,5,3,8,7]=>[3,2,2,1]=>10010101=>6 [7,5,3,8,1,4,6,2]=>[2,4,6,1,8,5,3,7]=>[3,2,1,2]=>10010110=>5 [7,5,3,1,8,4,6,2]=>[2,4,6,8,1,5,3,7]=>[4,2,2]=>10001010=>5 [7,5,3,1,8,2,6,4]=>[2,4,6,8,1,7,3,5]=>[4,2,2]=>10001010=>5 [7,5,3,1,8,2,4,6]=>[2,4,6,8,1,7,5,3]=>[4,2,1,1]=>10001011=>4 [7,5,3,1,6,2,4,8]=>[2,4,6,8,3,7,5,1]=>[4,2,1,1]=>10001011=>4 [7,5,3,1,6,4,2,8]=>[2,4,6,8,3,5,7,1]=>[4,3,1]=>10001001=>4 [7,5,3,1,8,4,2,6]=>[2,4,6,8,1,5,7,3]=>[4,3,1]=>10001001=>4 [7,5,3,1,8,6,2,4]=>[2,4,6,8,1,3,7,5]=>[4,3,1]=>10001001=>4 [7,5,3,8,1,6,4,2]=>[2,4,6,1,8,3,5,7]=>[3,2,3]=>10010100=>5 [7,5,3,8,6,1,4,2]=>[2,4,6,1,3,8,5,7]=>[3,3,2]=>10010010=>5 [7,5,3,8,6,4,1,2]=>[2,4,6,1,3,5,8,7]=>[3,4,1]=>10010001=>4 [7,5,8,3,6,4,1,2]=>[2,4,1,6,3,5,8,7]=>[2,2,3,1]=>10101001=>6 [7,5,8,3,6,1,4,2]=>[2,4,1,6,3,8,5,7]=>[2,2,2,2]=>10101010=>7 [7,5,8,3,1,6,4,2]=>[2,4,1,6,8,3,5,7]=>[2,3,3]=>10100100=>5 [7,5,8,3,1,6,2,4]=>[2,4,1,6,8,3,7,5]=>[2,3,2,1]=>10100101=>6 [7,5,3,6,1,4,2,8]=>[2,4,6,3,8,5,7,1]=>[3,2,2,1]=>10010101=>6 [7,5,3,6,4,1,2,8]=>[2,4,6,3,5,8,7,1]=>[3,3,1,1]=>10010011=>4 [7,5,3,8,4,1,2,6]=>[2,4,6,1,5,8,7,3]=>[3,3,1,1]=>10010011=>4 [7,5,8,6,3,1,2,4]=>[2,4,1,3,6,8,7,5]=>[2,4,1,1]=>10100011=>4 [7,5,8,6,3,1,4,2]=>[2,4,1,3,6,8,5,7]=>[2,4,2]=>10100010=>5 [7,5,8,6,3,4,1,2]=>[2,4,1,3,6,5,8,7]=>[2,3,2,1]=>10100101=>6 [7,5,6,8,3,1,4,2]=>[2,4,3,1,6,8,5,7]=>[2,1,3,2]=>10110010=>5 [7,5,6,3,8,1,2,4]=>[2,4,3,6,1,8,7,5]=>[2,2,2,1,1]=>10101011=>6 [7,5,3,4,1,6,2,8]=>[2,4,6,5,8,3,7,1]=>[3,2,2,1]=>10010101=>6 [7,5,3,4,1,8,2,6]=>[2,4,6,5,8,1,7,3]=>[3,2,2,1]=>10010101=>6 [7,5,6,3,1,8,2,4]=>[2,4,3,6,8,1,7,5]=>[2,3,2,1]=>10100101=>6 [7,5,6,3,1,8,4,2]=>[2,4,3,6,8,1,5,7]=>[2,3,3]=>10100100=>5 [7,5,6,3,8,1,4,2]=>[2,4,3,6,1,8,5,7]=>[2,2,2,2]=>10101010=>7 [7,5,6,3,8,4,1,2]=>[2,4,3,6,1,5,8,7]=>[2,2,3,1]=>10101001=>6 [7,5,3,6,8,4,1,2]=>[2,4,6,3,1,5,8,7]=>[3,1,3,1]=>10011001=>4 [7,5,3,6,8,1,4,2]=>[2,4,6,3,1,8,5,7]=>[3,1,2,2]=>10011010=>5 [7,5,3,6,1,8,4,2]=>[2,4,6,3,8,1,5,7]=>[3,2,3]=>10010100=>5 [7,5,3,1,6,8,4,2]=>[2,4,6,8,3,1,5,7]=>[4,1,3]=>10001100=>3 [7,5,3,1,6,8,2,4]=>[2,4,6,8,3,1,7,5]=>[4,1,2,1]=>10001101=>4 [7,5,3,1,4,8,2,6]=>[2,4,6,8,5,1,7,3]=>[4,1,2,1]=>10001101=>4 [7,5,3,1,4,6,2,8]=>[2,4,6,8,5,3,7,1]=>[4,1,2,1]=>10001101=>4 [7,5,3,1,2,6,4,8]=>[2,4,6,8,7,3,5,1]=>[4,1,2,1]=>10001101=>4 [7,5,3,1,2,8,4,6]=>[2,4,6,8,7,1,5,3]=>[4,1,2,1]=>10001101=>4 [7,5,3,1,2,8,6,4]=>[2,4,6,8,7,1,3,5]=>[4,1,3]=>10001100=>3 [7,5,3,1,4,8,6,2]=>[2,4,6,8,5,1,3,7]=>[4,1,3]=>10001100=>3 [7,5,3,4,1,8,6,2]=>[2,4,6,5,8,1,3,7]=>[3,2,3]=>10010100=>5 [7,5,3,4,8,1,6,2]=>[2,4,6,5,1,8,3,7]=>[3,1,2,2]=>10011010=>5 [7,5,3,4,8,6,1,2]=>[2,4,6,5,1,3,8,7]=>[3,1,3,1]=>10011001=>4 [7,5,3,4,6,1,8,2]=>[2,4,6,5,3,8,1,7]=>[3,1,2,2]=>10011010=>5 [7,5,3,4,1,6,8,2]=>[2,4,6,5,8,3,1,7]=>[3,2,1,2]=>10010110=>5 [7,5,3,1,4,6,8,2]=>[2,4,6,8,5,3,1,7]=>[4,1,1,2]=>10001110=>3 [7,5,3,1,2,6,8,4]=>[2,4,6,8,7,3,1,5]=>[4,1,1,2]=>10001110=>3 [7,5,3,1,2,4,8,6]=>[2,4,6,8,7,5,1,3]=>[4,1,1,2]=>10001110=>3 [3,6,2,5,4,1,8,7]=>[6,3,7,4,5,8,1,2]=>[1,2,3,2]=>11010010=>5 [3,5,2,8,4,7,6,1]=>[6,4,7,1,5,2,3,8]=>[1,2,2,3]=>11010100=>5 [5,4,7,3,2,8,6,1]=>[4,5,2,6,7,1,3,8]=>[2,3,3]=>10100100=>5 [5,4,8,3,2,7,6,1]=>[4,5,1,6,7,2,3,8]=>[2,3,3]=>10100100=>5 [6,4,5,3,2,1,8,7]=>[3,5,4,6,7,8,1,2]=>[2,4,2]=>10100010=>5 [5,3,2,6,4,1,8,7]=>[4,6,7,3,5,8,1,2]=>[3,3,2]=>10010010=>5 [4,5,8,3,2,7,6,1]=>[5,4,1,6,7,2,3,8]=>[1,1,3,3]=>11100100=>3 [4,7,6,3,8,5,2,1]=>[5,2,3,6,1,4,7,8]=>[1,3,4]=>11001000=>3 [4,8,6,3,7,5,2,1]=>[5,1,3,6,2,4,7,8]=>[1,3,4]=>11001000=>3 [4,8,5,3,2,7,6,1]=>[5,1,4,6,7,2,3,8]=>[1,4,3]=>11000100=>3 [5,8,4,3,2,7,6,1]=>[4,1,5,6,7,2,3,8]=>[1,4,3]=>11000100=>3 [5,3,2,8,4,7,6,1]=>[4,6,7,1,5,2,3,8]=>[3,2,3]=>10010100=>5 [2,1,5,8,4,7,6,3]=>[7,8,4,1,5,2,3,6]=>[2,1,2,3]=>10110100=>5 [5,3,2,7,4,8,6,1]=>[4,6,7,2,5,1,3,8]=>[3,2,3]=>10010100=>5 [5,7,4,3,2,8,6,1]=>[4,2,5,6,7,1,3,8]=>[1,4,3]=>11000100=>3 [4,7,5,3,2,8,6,1]=>[5,2,4,6,7,1,3,8]=>[1,4,3]=>11000100=>3 [4,7,8,3,6,5,2,1]=>[5,2,1,6,3,4,7,8]=>[1,1,2,4]=>11101000=>3 [4,6,8,3,7,5,2,1]=>[5,3,1,6,2,4,7,8]=>[1,1,2,4]=>11101000=>3 [7,6,4,3,8,5,2,1]=>[2,3,5,6,1,4,7,8]=>[4,4]=>10001000=>3 [7,3,2,6,8,5,4,1]=>[2,6,7,3,1,4,5,8]=>[3,1,4]=>10011000=>3 [2,1,8,6,7,5,4,3]=>[7,8,1,3,2,4,5,6]=>[2,2,4]=>10101000=>5 [8,3,2,6,7,5,4,1]=>[1,6,7,3,2,4,5,8]=>[3,1,4]=>10011000=>3 [8,6,4,3,7,5,2,1]=>[1,3,5,6,2,4,7,8]=>[4,4]=>10001000=>3 [8,5,7,6,4,3,2,1]=>[1,4,2,3,5,6,7,8]=>[2,6]=>10100000=>3 [8,4,5,3,2,7,6,1]=>[1,5,4,6,7,2,3,8]=>[2,3,3]=>10100100=>5 [8,4,7,3,6,5,2,1]=>[1,5,2,6,3,4,7,8]=>[2,2,4]=>10101000=>5 [8,4,6,3,7,5,2,1]=>[1,5,3,6,2,4,7,8]=>[2,2,4]=>10101000=>5 [7,4,6,3,8,5,2,1]=>[2,5,3,6,1,4,7,8]=>[2,2,4]=>10101000=>5 [3,7,2,6,8,5,4,1]=>[6,2,7,3,1,4,5,8]=>[1,2,1,4]=>11011000=>3 [3,8,2,6,7,5,4,1]=>[6,1,7,3,2,4,5,8]=>[1,2,1,4]=>11011000=>3 [3,8,2,5,4,7,6,1]=>[6,1,7,4,5,2,3,8]=>[1,2,2,3]=>11010100=>5 [3,7,2,8,6,5,4,1]=>[6,2,7,1,3,4,5,8]=>[1,2,5]=>11010000=>3 [3,6,2,8,7,5,4,1]=>[6,3,7,1,2,4,5,8]=>[1,2,5]=>11010000=>3 [6,4,7,3,8,5,2,1]=>[3,5,2,6,1,4,7,8]=>[2,2,4]=>10101000=>5 [6,4,8,3,7,5,2,1]=>[3,5,1,6,2,4,7,8]=>[2,2,4]=>10101000=>5 [7,4,8,3,6,5,2,1]=>[2,5,1,6,3,4,7,8]=>[2,2,4]=>10101000=>5 [7,4,5,3,2,8,6,1]=>[2,5,4,6,7,1,3,8]=>[2,3,3]=>10100100=>5 [7,5,4,3,2,8,6,1]=>[2,4,5,6,7,1,3,8]=>[5,3]=>10000100=>3 [7,3,2,5,4,8,6,1]=>[2,6,7,4,5,1,3,8]=>[3,2,3]=>10010100=>5 [2,1,7,5,4,8,6,3]=>[7,8,2,4,5,1,3,6]=>[2,3,3]=>10100100=>5 [7,3,2,8,6,5,4,1]=>[2,6,7,1,3,4,5,8]=>[3,5]=>10010000=>3 [7,8,4,3,6,5,2,1]=>[2,1,5,6,3,4,7,8]=>[1,3,4]=>11001000=>3 [6,8,5,7,4,3,2,1]=>[3,1,4,2,5,6,7,8]=>[1,2,5]=>11010000=>3 [6,8,4,3,7,5,2,1]=>[3,1,5,6,2,4,7,8]=>[1,3,4]=>11001000=>3 [6,3,2,8,7,5,4,1]=>[3,6,7,1,2,4,5,8]=>[3,5]=>10010000=>3 [6,3,2,7,8,5,4,1]=>[3,6,7,2,1,4,5,8]=>[3,1,4]=>10011000=>3 [6,7,4,3,8,5,2,1]=>[3,2,5,6,1,4,7,8]=>[1,3,4]=>11001000=>3 [2,3,1,4,5,6,7,8,9]=>[8,7,9,6,5,4,3,2,1]=>[1,2,1,1,1,1,1,1]=>110111111=>2 [2,3,4,1,5,6,7,8,9]=>[8,7,6,9,5,4,3,2,1]=>[1,1,2,1,1,1,1,1]=>111011111=>2 [2,3,4,5,1,6,7,8,9]=>[8,7,6,5,9,4,3,2,1]=>[1,1,1,2,1,1,1,1]=>111101111=>2 [2,3,4,5,6,1,7,8,9]=>[8,7,6,5,4,9,3,2,1]=>[1,1,1,1,2,1,1,1]=>111110111=>2 [2,4,3,1,5,6,7,8,9]=>[8,6,7,9,5,4,3,2,1]=>[1,3,1,1,1,1,1]=>110011111=>2 [2,3,5,4,1,6,7,8,9]=>[8,7,5,6,9,4,3,2,1]=>[1,1,3,1,1,1,1]=>111001111=>2 [2,3,4,6,5,1,7,8,9]=>[8,7,6,4,5,9,3,2,1]=>[1,1,1,3,1,1,1]=>111100111=>2 [2,3,4,5,7,6,1,8,9]=>[8,7,6,5,3,4,9,2,1]=>[1,1,1,1,3,1,1]=>111110011=>2 [2,3,4,5,6,8,7,1,9]=>[8,7,6,5,4,2,3,9,1]=>[1,1,1,1,1,3,1]=>111111001=>2 [2,3,4,5,6,7,9,8,1]=>[8,7,6,5,4,3,1,2,9]=>[1,1,1,1,1,1,3]=>111111100=>1 [4,6,8,3,5,7,1,2]=>[5,3,1,6,4,2,8,7]=>[1,1,2,1,2,1]=>11101101=>4 [6,8,1,2,4,5,7,3]=>[3,1,8,7,5,4,2,6]=>[1,2,1,1,1,2]=>11011110=>3 [3,5,8,2,4,7,1,6]=>[6,4,1,7,5,2,8,3]=>[1,1,2,1,2,1]=>11101101=>4 [8,3,5,2,4,1,6,7]=>[1,6,4,7,5,8,3,2]=>[2,2,2,1,1]=>10101011=>6 [4,2,5,7,3,6,1,8]=>[5,7,4,2,6,3,8,1]=>[2,1,2,2,1]=>10110101=>6 [4,5,2,8,3,1,6,7]=>[5,4,7,1,6,8,3,2]=>[1,2,3,1,1]=>11010011=>4 [4,2,5,8,3,7,1,6]=>[5,7,4,1,6,2,8,3]=>[2,1,2,2,1]=>10110101=>6 [2,1,6,8,4,7,3,5]=>[7,8,3,1,5,2,6,4]=>[2,1,2,2,1]=>10110101=>6 [1,2,5,8,3,6,7,4]=>[8,7,4,1,6,3,2,5]=>[1,1,1,2,1,2]=>11110110=>3 [5,3,6,8,4,7,1,2]=>[4,6,3,1,5,2,8,7]=>[2,1,2,2,1]=>10110101=>6 [1,6,5,8,2,4,7,3]=>[8,3,4,1,7,5,2,6]=>[1,2,2,1,2]=>11010110=>5 [3,1,2,6,8,5,7,4]=>[6,8,7,3,1,4,2,5]=>[2,1,1,2,2]=>10111010=>5 [1,4,3,8,2,6,7,5]=>[8,5,6,1,7,3,2,4]=>[1,2,2,1,2]=>11010110=>5 [5,4,8,3,2,1,6,7]=>[4,5,1,6,7,8,3,2]=>[2,4,1,1]=>10100011=>4 [5,4,3,7,2,6,1,8]=>[4,5,6,2,7,3,8,1]=>[3,2,2,1]=>10010101=>6 [4,3,6,2,7,5,1,8]=>[5,6,3,7,2,4,8,1]=>[2,2,3,1]=>10101001=>6 [4,6,3,2,1,8,5,7]=>[5,3,6,7,8,1,4,2]=>[1,4,2,1]=>11000101=>4 [4,1,7,3,2,5,8,6]=>[5,8,2,6,7,4,1,3]=>[2,3,1,2]=>10100110=>5 [4,3,1,7,8,2,6,5]=>[5,6,8,2,1,7,3,4]=>[3,1,2,2]=>10011010=>5 [3,5,1,2,7,8,6,4]=>[6,4,8,7,2,1,3,5]=>[1,2,1,1,3]=>11011100=>3 [7,5,1,4,8,2,6,3]=>[2,4,8,5,1,7,3,6]=>[3,1,2,2]=>10011010=>5 [5,4,7,3,8,6,1,2]=>[4,5,2,6,1,3,8,7]=>[2,2,3,1]=>10101001=>6 [5,8,4,7,6,3,1,2]=>[4,1,5,2,3,6,8,7]=>[1,2,4,1]=>11010001=>4 [5,8,7,1,4,2,6,3]=>[4,1,2,8,5,7,3,6]=>[1,3,2,2]=>11001010=>5 [8,3,5,1,2,7,6,4]=>[1,6,4,8,7,2,3,5]=>[2,2,1,3]=>10101100=>5 [4,8,3,1,7,2,6,5]=>[5,1,6,8,2,7,3,4]=>[1,3,2,2]=>11001010=>5 [1,8,4,3,5,2,7,6]=>[8,1,5,6,4,7,2,3]=>[1,3,2,2]=>11001010=>5 [4,6,3,1,5,2,8,7]=>[5,3,6,8,4,7,1,2]=>[1,3,2,2]=>11001010=>5 [4,7,3,6,5,2,1,8]=>[5,2,6,3,4,7,8,1]=>[1,2,4,1]=>11010001=>4 [5,3,7,6,4,2,1,8]=>[4,6,2,3,5,7,8,1]=>[2,5,1]=>10100001=>4 [1,6,3,4,2,8,7,5]=>[8,3,6,5,7,1,2,4]=>[1,2,2,3]=>11010100=>5 [1,8,3,6,2,7,5,4]=>[8,1,6,3,7,2,4,5]=>[1,2,2,3]=>11010100=>5 [1,6,8,7,4,2,5,3]=>[8,3,1,2,5,7,4,6]=>[1,1,4,2]=>11100010=>3 [6,4,8,7,5,3,1,2]=>[3,5,1,2,4,6,8,7]=>[2,5,1]=>10100001=>4 [7,6,4,3,8,5,1,2]=>[2,3,5,6,1,4,8,7]=>[4,3,1]=>10001001=>4 [1,7,6,2,8,4,5,3]=>[8,2,3,7,1,5,4,6]=>[1,3,2,2]=>11001010=>5 [7,1,3,2,6,8,5,4]=>[2,8,6,7,3,1,4,5]=>[2,2,1,3]=>10101100=>5 [1,5,3,2,7,4,8,6]=>[8,4,6,7,2,5,1,3]=>[1,3,2,2]=>11001010=>5 [6,3,2,1,8,5,4,7]=>[3,6,7,8,1,4,5,2]=>[4,3,1]=>10001001=>4 [6,5,3,2,7,4,1,8]=>[3,4,6,7,2,5,8,1]=>[4,3,1]=>10001001=>4 [5,2,6,3,7,4,1,8]=>[4,7,3,6,2,5,8,1]=>[2,2,3,1]=>10101001=>6 [2,8,5,3,1,6,4,7]=>[7,1,4,6,8,3,5,2]=>[1,4,2,1]=>11000101=>4 [2,1,7,3,8,5,4,6]=>[7,8,2,6,1,4,5,3]=>[2,2,3,1]=>10101001=>6 [1,6,2,3,7,8,5,4]=>[8,3,7,6,2,1,4,5]=>[1,2,1,1,3]=>11011100=>3 [1,6,7,2,8,4,5,3]=>[8,3,2,7,1,5,4,6]=>[1,1,2,2,2]=>11101010=>5 [5,7,1,8,2,4,6,3]=>[4,2,8,1,7,5,3,6]=>[1,2,2,1,2]=>11010110=>5 [5,1,2,7,8,3,6,4]=>[4,8,7,2,1,6,3,5]=>[2,1,1,2,2]=>10111010=>5 [2,4,1,7,8,6,3,5]=>[7,5,8,2,1,3,6,4]=>[1,2,1,3,1]=>11011001=>4 [4,2,1,7,3,8,5,6]=>[5,7,8,2,6,1,4,3]=>[3,2,2,1]=>10010101=>6 [6,2,8,4,3,1,5,7]=>[3,7,1,5,6,8,4,2]=>[2,4,1,1]=>10100011=>4 [7,3,2,1,8,4,5,6]=>[2,6,7,8,1,5,4,3]=>[4,2,1,1]=>10001011=>4 [7,8,3,2,5,6,1,4]=>[2,1,6,7,4,3,8,5]=>[1,3,1,2,1]=>11001101=>4 [7,1,8,2,4,5,6,3]=>[2,8,1,7,5,4,3,6]=>[2,2,1,1,2]=>10101110=>5 [8,7,6,1,2,4,5,3]=>[1,2,3,8,7,5,4,6]=>[4,1,1,2]=>10001110=>3 [8,3,7,6,2,1,4,5]=>[1,6,2,3,7,8,5,4]=>[2,4,1,1]=>10100011=>4 [3,2,8,7,5,1,4,6]=>[6,7,1,2,4,8,5,3]=>[2,4,1,1]=>10100011=>4 [8,3,6,5,2,1,4,7]=>[1,6,3,4,7,8,5,2]=>[2,4,1,1]=>10100011=>4 [7,6,3,5,2,4,1,8]=>[2,3,6,4,7,5,8,1]=>[3,2,2,1]=>10010101=>6 [7,4,6,2,5,3,1,8]=>[2,5,3,7,4,6,8,1]=>[2,2,3,1]=>10101001=>6 [8,2,4,1,6,5,3,7]=>[1,7,5,8,3,4,6,2]=>[2,2,3,1]=>10101001=>6 [4,2,8,1,7,5,3,6]=>[5,7,1,8,2,4,6,3]=>[2,2,3,1]=>10101001=>6 [8,2,4,1,7,6,3,5]=>[1,7,5,8,2,3,6,4]=>[2,2,3,1]=>10101001=>6 [8,7,1,5,6,2,4,3]=>[1,2,8,4,3,7,5,6]=>[3,1,2,2]=>10011010=>5 [8,5,7,3,6,4,1,2]=>[1,4,2,6,3,5,8,7]=>[2,2,3,1]=>10101001=>6 [6,8,3,7,5,4,1,2]=>[3,1,6,2,4,5,8,7]=>[1,2,4,1]=>11010001=>4 [8,1,6,7,5,2,4,3]=>[1,8,3,2,4,7,5,6]=>[2,1,3,2]=>10110010=>5 [8,1,2,6,4,3,7,5]=>[1,8,7,3,5,6,2,4]=>[2,1,3,2]=>10110010=>5 [2,8,1,7,5,4,3,6]=>[7,1,8,2,4,5,6,3]=>[1,2,4,1]=>11010001=>4 [2,5,1,8,6,4,3,7]=>[7,4,8,1,3,5,6,2]=>[1,2,4,1]=>11010001=>4 [5,7,2,6,4,3,1,8]=>[4,2,7,3,5,6,8,1]=>[1,2,4,1]=>11010001=>4 [6,2,7,5,4,3,1,8]=>[3,7,2,4,5,6,8,1]=>[2,5,1]=>10100001=>4 [2,1,8,6,5,4,3,7]=>[7,8,1,3,4,5,6,2]=>[2,5,1]=>10100001=>4 [1,2,7,5,4,3,8,6]=>[8,7,2,4,5,6,1,3]=>[1,1,4,2]=>11100010=>3 [1,7,2,4,3,8,6,5]=>[8,2,7,5,6,1,3,4]=>[1,2,2,3]=>11010100=>5 [1,7,2,8,3,6,5,4]=>[8,2,7,1,6,3,4,5]=>[1,2,2,3]=>11010100=>5 [1,7,8,6,5,2,4,3]=>[8,2,1,3,4,7,5,6]=>[1,1,4,2]=>11100010=>3 [7,3,8,6,5,4,1,2]=>[2,6,1,3,4,5,8,7]=>[2,5,1]=>10100001=>4 [1,8,7,6,5,2,4,3]=>[8,1,2,3,4,7,5,6]=>[1,5,2]=>11000010=>3 [8,1,7,3,2,6,5,4]=>[1,8,2,6,7,3,4,5]=>[2,3,3]=>10100100=>5 [5,1,4,3,2,8,7,6]=>[4,8,5,6,7,1,2,3]=>[2,3,3]=>10100100=>5 [8,6,5,3,2,1,7,4]=>[1,3,4,6,7,8,2,5]=>[6,2]=>10000010=>3 [8,6,3,2,1,7,4,5]=>[1,3,6,7,8,2,5,4]=>[5,2,1]=>10000101=>4 [8,6,5,4,1,7,2,3]=>[1,3,4,5,8,2,7,6]=>[5,2,1]=>10000101=>4 [8,6,5,1,7,3,2,4]=>[1,3,4,8,2,6,7,5]=>[4,3,1]=>10001001=>4 [8,6,1,7,4,3,2,5]=>[1,3,8,2,5,6,7,4]=>[3,4,1]=>10010001=>4 [4,6,3,2,7,5,1,8]=>[5,3,6,7,2,4,8,1]=>[1,3,3,1]=>11001001=>4 [1,4,3,7,2,5,8,6]=>[8,5,6,2,7,4,1,3]=>[1,2,2,1,2]=>11010110=>5 [7,4,8,3,1,6,2,5]=>[2,5,1,6,8,3,7,4]=>[2,3,2,1]=>10100101=>6 [7,1,5,8,3,2,6,4]=>[2,8,4,1,6,7,3,5]=>[2,1,3,2]=>10110010=>5 [5,7,4,1,8,2,6,3]=>[4,2,5,8,1,7,3,6]=>[1,3,2,2]=>11001010=>5 [5,7,4,3,1,8,6,2]=>[4,2,5,6,8,1,3,7]=>[1,4,3]=>11000100=>3 [1,8,7,2,5,4,6,3]=>[8,1,2,7,4,5,3,6]=>[1,3,2,2]=>11001010=>5 [1,8,5,3,7,2,6,4]=>[8,1,4,6,2,7,3,5]=>[1,3,2,2]=>11001010=>5 [4,3,1,8,7,5,2,6]=>[5,6,8,1,2,4,7,3]=>[3,4,1]=>10010001=>4 [1,4,8,6,3,5,2,7]=>[8,5,1,3,6,4,7,2]=>[1,1,3,2,1]=>11100101=>4 [7,4,6,3,5,2,1,8]=>[2,5,3,6,4,7,8,1]=>[2,2,3,1]=>10101001=>6 [1,3,5,6,8,4,2,7]=>[8,6,4,3,1,5,7,2]=>[1,1,1,1,3,1]=>11111001=>2 [3,5,4,8,7,1,2,6]=>[6,4,5,1,2,8,7,3]=>[1,2,3,1,1]=>11010011=>4 [3,1,4,6,8,7,2,5]=>[6,8,5,3,1,2,7,4]=>[2,1,1,3,1]=>10111001=>4 [1,6,3,8,7,2,5,4]=>[8,3,6,1,2,7,4,5]=>[1,2,3,2]=>11010010=>5 [1,6,2,4,8,7,5,3]=>[8,3,7,5,1,2,4,6]=>[1,2,1,4]=>11011000=>3 [8,4,1,6,7,5,3,2]=>[1,5,8,3,2,4,6,7]=>[3,1,4]=>10011000=>3 [7,1,6,4,8,5,2,3]=>[2,8,3,5,1,4,7,6]=>[2,2,3,1]=>10101001=>6 [7,3,6,8,5,1,2,4]=>[2,6,3,1,4,8,7,5]=>[2,1,3,1,1]=>10110011=>4 [1,3,7,2,6,8,4,5]=>[8,6,2,7,3,1,5,4]=>[1,1,2,1,2,1]=>11101101=>4 [3,6,5,2,8,1,4,7]=>[6,3,4,7,1,8,5,2]=>[1,3,2,1,1]=>11001011=>4 [3,6,5,7,2,4,1,8]=>[6,3,4,2,7,5,8,1]=>[1,2,2,2,1]=>11010101=>6 [4,2,6,3,8,1,5,7]=>[5,7,3,6,1,8,4,2]=>[2,2,2,1,1]=>10101011=>6 [4,2,6,7,3,5,1,8]=>[5,7,3,2,6,4,8,1]=>[2,1,2,2,1]=>10110101=>6 [3,6,2,4,7,5,1,8]=>[6,3,7,5,2,4,8,1]=>[1,2,1,3,1]=>11011001=>4 [3,6,2,4,1,8,5,7]=>[6,3,7,5,8,1,4,2]=>[1,2,2,2,1]=>11010101=>6 [7,3,8,2,1,6,4,5]=>[2,6,1,7,8,3,5,4]=>[2,3,2,1]=>10100101=>6 [7,3,5,2,1,8,6,4]=>[2,6,4,7,8,1,3,5]=>[2,3,3]=>10100100=>5 [8,7,6,4,3,1,5,2]=>[1,2,3,5,6,8,4,7]=>[6,2]=>10000010=>3 [8,7,6,4,1,5,2,3]=>[1,2,3,5,8,4,7,6]=>[5,2,1]=>10000101=>4 [3,8,7,2,1,4,6,5]=>[6,1,2,7,8,5,3,4]=>[1,4,1,2]=>11000110=>3 [3,8,2,7,1,5,4,6]=>[6,1,7,2,8,4,5,3]=>[1,2,2,2,1]=>11010101=>6 [3,6,8,2,1,5,4,7]=>[6,3,1,7,8,4,5,2]=>[1,1,3,2,1]=>11100101=>4 [2,4,8,1,6,5,3,7]=>[7,5,1,8,3,4,6,2]=>[1,1,2,3,1]=>11101001=>4 [4,2,8,1,5,7,3,6]=>[5,7,1,8,4,2,6,3]=>[2,2,1,2,1]=>10101101=>6 [8,5,7,6,1,4,2,3]=>[1,4,2,3,8,5,7,6]=>[2,3,2,1]=>10100101=>6 [8,6,1,7,3,5,4,2]=>[1,3,8,2,6,4,5,7]=>[3,2,3]=>10010100=>5 [8,6,1,7,5,4,2,3]=>[1,3,8,2,4,5,7,6]=>[3,4,1]=>10010001=>4 [1,6,2,8,7,3,5,4]=>[8,3,7,1,2,6,4,5]=>[1,2,3,2]=>11010010=>5 [1,8,2,4,6,7,3,5]=>[8,1,7,5,3,2,6,4]=>[1,2,1,1,2,1]=>11011101=>4 [2,8,5,4,7,1,3,6]=>[7,1,4,5,2,8,6,3]=>[1,3,2,1,1]=>11001011=>4 [2,1,5,8,6,4,3,7]=>[7,8,4,1,3,5,6,2]=>[2,1,4,1]=>10110001=>4 [7,2,5,6,4,3,1,8]=>[2,7,4,3,5,6,8,1]=>[2,1,4,1]=>10110001=>4 [1,2,5,7,8,4,3,6]=>[8,7,4,2,1,5,6,3]=>[1,1,1,1,3,1]=>11111001=>2 [1,2,7,4,8,6,3,5]=>[8,7,2,5,1,3,6,4]=>[1,1,2,3,1]=>11101001=>4 [1,2,7,8,3,6,5,4]=>[8,7,2,1,6,3,4,5]=>[1,1,1,2,3]=>11110100=>3 [7,1,8,6,3,5,4,2]=>[2,8,1,3,6,4,5,7]=>[2,3,3]=>10100100=>5 [1,8,7,6,3,5,2,4]=>[8,1,2,3,6,4,7,5]=>[1,4,2,1]=>11000101=>4 [1,8,7,4,6,3,2,5]=>[8,1,2,5,3,6,7,4]=>[1,3,3,1]=>11001001=>4 [7,1,5,8,3,4,6,2]=>[2,8,4,1,6,5,3,7]=>[2,1,2,1,2]=>10110110=>5 [7,1,6,4,2,3,5,8]=>[2,8,3,5,7,6,4,1]=>[2,3,1,1,1]=>10100111=>4 [8,6,2,4,7,3,5,1]=>[1,3,7,5,2,6,4,8]=>[3,1,2,2]=>10011010=>5 [8,6,2,4,5,7,3,1]=>[1,3,7,5,4,2,6,8]=>[3,1,1,3]=>10011100=>3 [2,7,1,4,5,8,3,6]=>[7,2,8,5,4,1,6,3]=>[1,2,1,1,2,1]=>11011101=>4 [7,1,6,4,5,2,3,8]=>[2,8,3,5,4,7,6,1]=>[2,2,2,1,1]=>10101011=>6 [7,1,4,5,6,8,2,3]=>[2,8,5,4,3,1,7,6]=>[2,1,1,1,2,1]=>10111101=>4 [7,1,4,6,5,8,3,2]=>[2,8,5,3,4,1,6,7]=>[2,1,2,3]=>10110100=>5 [7,1,2,3,8,5,4,6]=>[2,8,7,6,1,4,5,3]=>[2,1,1,3,1]=>10111001=>4 [7,1,5,4,3,8,2,6]=>[2,8,4,5,6,1,7,3]=>[2,3,2,1]=>10100101=>6 [7,1,3,4,2,6,8,5]=>[2,8,6,5,7,3,1,4]=>[2,1,2,1,2]=>10110110=>5 [7,1,5,4,6,2,8,3]=>[2,8,4,5,3,7,1,6]=>[2,2,2,2]=>10101010=>7 [7,1,5,6,4,3,8,2]=>[2,8,4,3,5,6,1,7]=>[2,1,3,2]=>10110010=>5 [7,1,6,5,4,3,2,8]=>[2,8,3,4,5,6,7,1]=>[2,5,1]=>10100001=>4 [8,6,2,5,4,3,7,1]=>[1,3,7,4,5,6,2,8]=>[3,3,2]=>10010010=>5 [2,5,1,4,7,8,6,3]=>[7,4,8,5,2,1,3,6]=>[1,2,1,1,3]=>11011100=>3 [3,5,1,4,8,6,2,7]=>[6,4,8,5,1,3,7,2]=>[1,2,1,3,1]=>11011001=>4 [3,6,2,4,7,8,1,5]=>[6,3,7,5,2,1,8,4]=>[1,2,1,1,2,1]=>11011101=>4 [5,6,2,4,8,7,1,3]=>[4,3,7,5,1,2,8,6]=>[1,2,1,3,1]=>11011001=>4 [6,3,8,2,4,7,1,5]=>[3,6,1,7,5,2,8,4]=>[2,2,1,2,1]=>10101101=>6 [6,5,8,7,2,3,1,4]=>[3,4,1,2,7,6,8,5]=>[2,3,2,1]=>10100101=>6 [6,5,7,8,2,4,1,3]=>[3,4,2,1,7,5,8,6]=>[2,1,2,2,1]=>10110101=>6 [6,3,4,2,8,5,1,7]=>[3,6,5,7,1,4,8,2]=>[2,2,3,1]=>10101001=>6 [3,4,7,2,5,8,1,6]=>[6,5,2,7,4,1,8,3]=>[1,1,2,1,2,1]=>11101101=>4 [4,6,8,1,3,5,2,7]=>[5,3,1,8,6,4,7,2]=>[1,1,2,1,2,1]=>11101101=>4 [4,3,8,1,2,7,5,6]=>[5,6,1,8,7,2,4,3]=>[2,2,1,2,1]=>10101101=>6 [3,6,4,1,7,2,5,8]=>[6,3,5,8,2,7,4,1]=>[1,3,2,1,1]=>11001011=>4 [2,8,3,1,5,6,4,7]=>[7,1,6,8,4,3,5,2]=>[1,3,1,2,1]=>11001101=>4 [3,8,7,1,5,4,2,6]=>[6,1,2,8,4,5,7,3]=>[1,3,3,1]=>11001001=>4 [4,3,1,7,6,8,2,5]=>[5,6,8,2,3,1,7,4]=>[3,2,2,1]=>10010101=>6 [3,4,1,7,5,6,8,2]=>[6,5,8,2,4,3,1,7]=>[1,2,2,1,2]=>11010110=>5 [3,4,1,5,7,6,2,8]=>[6,5,8,4,2,3,7,1]=>[1,2,1,3,1]=>11011001=>4 [3,7,4,1,6,2,8,5]=>[6,2,5,8,3,7,1,4]=>[1,3,2,2]=>11001010=>5 [8,4,7,2,5,3,6,1]=>[1,5,2,7,4,6,3,8]=>[2,2,2,2]=>10101010=>7 [4,7,8,1,2,3,6,5]=>[5,2,1,8,7,6,3,4]=>[1,1,2,1,1,2]=>11101110=>3 [2,8,6,1,5,3,7,4]=>[7,1,3,8,4,6,2,5]=>[1,3,2,2]=>11001010=>5 [7,6,5,1,3,8,2,4]=>[2,3,4,8,6,1,7,5]=>[4,1,2,1]=>10001101=>4 [7,6,5,1,3,4,8,2]=>[2,3,4,8,6,5,1,7]=>[4,1,1,2]=>10001110=>3 [7,2,6,4,1,3,8,5]=>[2,7,3,5,8,6,1,4]=>[2,3,1,2]=>10100110=>5 [6,7,5,2,1,3,8,4]=>[3,2,4,7,8,6,1,5]=>[1,4,1,2]=>11000110=>3 [8,4,5,3,7,2,6,1]=>[1,5,4,6,2,7,3,8]=>[2,2,2,2]=>10101010=>7 [4,7,5,2,8,1,6,3]=>[5,2,4,7,1,8,3,6]=>[1,3,2,2]=>11001010=>5 [2,6,4,3,1,5,7,8]=>[7,3,5,6,8,4,2,1]=>[1,4,1,1,1]=>11000111=>2 [7,3,8,4,1,5,2,6]=>[2,6,1,5,8,4,7,3]=>[2,3,2,1]=>10100101=>6 [7,2,3,4,1,6,5,8]=>[2,7,6,5,8,3,4,1]=>[2,1,2,2,1]=>10110101=>6 [4,2,8,3,6,1,5,7]=>[5,7,1,6,3,8,4,2]=>[2,2,2,1,1]=>10101011=>6 [6,8,5,7,2,1,3,4]=>[3,1,4,2,7,8,6,5]=>[1,2,3,1,1]=>11010011=>4 [4,8,5,2,7,1,3,6]=>[5,1,4,7,2,8,6,3]=>[1,3,2,1,1]=>11001011=>4 [6,3,5,2,1,7,4,8]=>[3,6,4,7,8,2,5,1]=>[2,3,2,1]=>10100101=>6 [3,6,5,4,2,8,1,7]=>[6,3,4,5,7,1,8,2]=>[1,4,2,1]=>11000101=>4 [1,6,4,7,2,5,3,8]=>[8,3,5,2,7,4,6,1]=>[1,2,2,2,1]=>11010101=>6 [1,6,4,8,2,5,3,7]=>[8,3,5,1,7,4,6,2]=>[1,2,2,2,1]=>11010101=>6 [1,6,5,8,2,4,3,7]=>[8,3,4,1,7,5,6,2]=>[1,2,2,2,1]=>11010101=>6 [1,6,8,2,4,3,7,5]=>[8,3,1,7,5,6,2,4]=>[1,1,2,2,2]=>11101010=>5 [1,6,2,4,3,7,8,5]=>[8,3,7,5,6,2,1,4]=>[1,2,2,1,2]=>11010110=>5 [1,5,6,2,4,7,3,8]=>[8,4,3,7,5,2,6,1]=>[1,1,2,1,2,1]=>11101101=>4 [1,5,6,2,4,7,8,3]=>[8,4,3,7,5,2,1,6]=>[1,1,2,1,1,2]=>11101110=>3 [1,5,8,2,4,7,3,6]=>[8,4,1,7,5,2,6,3]=>[1,1,2,1,2,1]=>11101101=>4 [1,5,7,2,4,8,3,6]=>[8,4,2,7,5,1,6,3]=>[1,1,2,1,2,1]=>11101101=>4 [1,6,5,7,2,4,3,8]=>[8,3,4,2,7,5,6,1]=>[1,2,2,2,1]=>11010101=>6 [1,6,7,2,4,3,8,5]=>[8,3,2,7,5,6,1,4]=>[1,1,2,2,2]=>11101010=>5 [1,5,6,7,2,4,8,3]=>[8,4,3,2,7,5,1,6]=>[1,1,1,2,1,2]=>11110110=>3 [1,5,8,2,4,6,7,3]=>[8,4,1,7,5,3,2,6]=>[1,1,2,1,1,2]=>11101110=>3 [1,5,7,2,4,6,8,3]=>[8,4,2,7,5,3,1,6]=>[1,1,2,1,1,2]=>11101110=>3 [1,5,7,8,3,2,4,6]=>[8,4,2,1,6,7,5,3]=>[1,1,1,3,1,1]=>11110011=>2 [1,5,8,3,2,4,6,7]=>[8,4,1,6,7,5,3,2]=>[1,1,3,1,1,1]=>11100111=>2 [1,5,6,2,4,8,3,7]=>[8,4,3,7,5,1,6,2]=>[1,1,2,1,2,1]=>11101101=>4 [1,7,6,2,8,3,4,5]=>[8,2,3,7,1,6,5,4]=>[1,3,2,1,1]=>11001011=>4 [1,7,3,4,2,8,6,5]=>[8,2,6,5,7,1,3,4]=>[1,2,2,3]=>11010100=>5 [1,6,2,4,3,8,7,5]=>[8,3,7,5,6,1,2,4]=>[1,2,2,3]=>11010100=>5 [1,5,6,2,4,8,7,3]=>[8,4,3,7,5,1,2,6]=>[1,1,2,1,3]=>11101100=>3 [1,5,8,7,3,2,4,6]=>[8,4,1,2,6,7,5,3]=>[1,1,4,1,1]=>11100011=>2 [1,4,2,3,5,8,7,6]=>[8,5,7,6,4,1,2,3]=>[1,2,1,1,3]=>11011100=>3 [1,5,2,3,4,8,7,6]=>[8,4,7,6,5,1,2,3]=>[1,2,1,1,3]=>11011100=>3 [1,6,5,2,3,8,7,4]=>[8,3,4,7,6,1,2,5]=>[1,3,1,3]=>11001100=>3 [1,7,4,2,8,6,5,3]=>[8,2,5,7,1,3,4,6]=>[1,3,4]=>11001000=>3 [1,7,6,5,2,8,4,3]=>[8,2,3,4,7,1,5,6]=>[1,4,3]=>11000100=>3 [1,6,7,5,2,3,8,4]=>[8,3,2,4,7,6,1,5]=>[1,1,3,1,2]=>11100110=>3 [1,7,5,2,8,4,3,6]=>[8,2,4,7,1,5,6,3]=>[1,3,3,1]=>11001001=>4 [1,7,5,6,2,8,3,4]=>[8,2,4,3,7,1,6,5]=>[1,2,2,2,1]=>11010101=>6 [1,5,7,6,2,4,8,3]=>[8,4,2,3,7,5,1,6]=>[1,1,3,1,2]=>11100110=>3 [1,5,8,3,2,4,7,6]=>[8,4,1,6,7,5,2,3]=>[1,1,3,1,2]=>11100110=>3 [1,6,5,2,3,7,4,8]=>[8,3,4,7,6,2,5,1]=>[1,3,1,2,1]=>11001101=>4 [1,6,5,2,3,7,8,4]=>[8,3,4,7,6,2,1,5]=>[1,3,1,1,2]=>11001110=>3 [1,6,8,4,2,3,7,5]=>[8,3,1,5,7,6,2,4]=>[1,1,3,1,2]=>11100110=>3 [1,7,4,6,2,8,3,5]=>[8,2,5,3,7,1,6,4]=>[1,2,2,2,1]=>11010101=>6 [1,7,3,5,2,8,4,6]=>[8,2,6,4,7,1,5,3]=>[1,2,2,2,1]=>11010101=>6 [1,6,8,5,2,3,7,4]=>[8,3,1,4,7,6,2,5]=>[1,1,3,1,2]=>11100110=>3 [1,6,4,2,3,7,8,5]=>[8,3,5,7,6,2,1,4]=>[1,3,1,1,2]=>11001110=>3 [1,6,4,2,3,7,5,8]=>[8,3,5,7,6,2,4,1]=>[1,3,1,2,1]=>11001101=>4 [1,5,8,6,2,4,7,3]=>[8,4,1,3,7,5,2,6]=>[1,1,3,1,2]=>11100110=>3 [1,5,7,3,2,4,8,6]=>[8,4,2,6,7,5,1,3]=>[1,1,3,1,2]=>11100110=>3 [1,7,3,4,2,8,5,6]=>[8,2,6,5,7,1,4,3]=>[1,2,2,2,1]=>11010101=>6 [1,7,4,2,8,5,3,6]=>[8,2,5,7,1,4,6,3]=>[1,3,3,1]=>11001001=>4 [1,6,7,4,2,3,8,5]=>[8,3,2,5,7,6,1,4]=>[1,1,3,1,2]=>11100110=>3 [1,6,4,2,3,8,5,7]=>[8,3,5,7,6,1,4,2]=>[1,3,1,2,1]=>11001101=>4 [1,7,6,4,2,8,5,3]=>[8,2,3,5,7,1,4,6]=>[1,4,3]=>11000100=>3 [1,7,5,2,8,6,4,3]=>[8,2,4,7,1,3,5,6]=>[1,3,4]=>11001000=>3 [1,6,4,2,3,8,7,5]=>[8,3,5,7,6,1,2,4]=>[1,3,1,3]=>11001100=>3 [7,3,5,6,1,4,8,2]=>[2,6,4,3,8,5,1,7]=>[2,1,2,1,2]=>10110110=>5 [3,7,5,6,1,4,8,2]=>[6,2,4,3,8,5,1,7]=>[1,2,2,1,2]=>11010110=>5 [3,6,1,4,2,8,5,7]=>[6,3,8,5,7,1,4,2]=>[1,2,2,2,1]=>11010101=>6 [7,6,1,4,3,5,8,2]=>[2,3,8,5,6,4,1,7]=>[3,2,1,2]=>10010110=>5 [3,5,4,1,6,7,8,2]=>[6,4,5,8,3,2,1,7]=>[1,3,1,1,2]=>11001110=>3 [4,7,1,6,3,5,8,2]=>[5,2,8,3,6,4,1,7]=>[1,2,2,1,2]=>11010110=>5 [3,1,4,7,6,5,8,2]=>[6,8,5,2,3,4,1,7]=>[2,1,3,2]=>10110010=>5 [7,1,6,4,3,5,8,2]=>[2,8,3,5,6,4,1,7]=>[2,3,1,2]=>10100110=>5 [1,7,6,4,3,5,8,2]=>[8,2,3,5,6,4,1,7]=>[1,4,1,2]=>11000110=>3 [8,1,6,4,2,7,5,3]=>[1,8,3,5,7,2,4,6]=>[2,3,3]=>10100100=>5 [8,4,1,3,7,2,5,6]=>[1,5,8,6,2,7,4,3]=>[3,1,2,1,1]=>10011011=>4 [4,7,1,3,8,2,5,6]=>[5,2,8,6,1,7,4,3]=>[1,2,1,2,1,1]=>11011011=>4 [7,4,1,3,8,2,5,6]=>[2,5,8,6,1,7,4,3]=>[3,1,2,1,1]=>10011011=>4 [4,7,8,1,2,6,5,3]=>[5,2,1,8,7,3,4,6]=>[1,1,2,1,3]=>11101100=>3 [6,8,1,4,2,7,5,3]=>[3,1,8,5,7,2,4,6]=>[1,2,2,3]=>11010100=>5 [1,8,6,4,2,7,5,3]=>[8,1,3,5,7,2,4,6]=>[1,4,3]=>11000100=>3 [4,8,1,3,7,2,5,6]=>[5,1,8,6,2,7,4,3]=>[1,2,1,2,1,1]=>11011011=>4 [8,7,1,3,6,2,5,4]=>[1,2,8,6,3,7,4,5]=>[3,1,2,2]=>10011010=>5 [6,8,5,7,3,2,1,4]=>[3,1,4,2,6,7,8,5]=>[1,2,4,1]=>11010001=>4 [2,8,3,4,7,6,1,5]=>[7,1,6,5,2,3,8,4]=>[1,2,1,3,1]=>11011001=>4 [3,7,8,4,6,2,1,5]=>[6,2,1,5,3,7,8,4]=>[1,1,2,3,1]=>11101001=>4 [3,7,4,6,8,2,1,5]=>[6,2,5,3,1,7,8,4]=>[1,2,1,3,1]=>11011001=>4 [2,4,3,7,8,6,1,5]=>[7,5,6,2,1,3,8,4]=>[1,2,1,3,1]=>11011001=>4 [5,7,6,8,3,2,1,4]=>[4,2,3,1,6,7,8,5]=>[1,2,4,1]=>11010001=>4 [2,5,3,4,8,6,1,7]=>[7,4,6,5,1,3,8,2]=>[1,2,1,3,1]=>11011001=>4 [3,7,5,4,8,2,1,6]=>[6,2,4,5,1,7,8,3]=>[1,3,3,1]=>11001001=>4 [7,1,3,4,2,8,5,6]=>[2,8,6,5,7,1,4,3]=>[2,1,2,2,1]=>10110101=>6 [6,1,4,3,8,2,5,7]=>[3,8,5,6,1,7,4,2]=>[2,2,2,1,1]=>10101011=>6 [4,1,7,3,8,2,5,6]=>[5,8,2,6,1,7,4,3]=>[2,2,2,1,1]=>10101011=>6 [8,1,4,3,7,2,5,6]=>[1,8,5,6,2,7,4,3]=>[2,2,2,1,1]=>10101011=>6 [8,2,3,4,7,6,1,5]=>[1,7,6,5,2,3,8,4]=>[2,1,1,3,1]=>10111001=>4 [4,2,3,7,8,6,1,5]=>[5,7,6,2,1,3,8,4]=>[2,1,1,3,1]=>10111001=>4 [5,2,3,4,8,6,1,7]=>[4,7,6,5,1,3,8,2]=>[2,1,1,3,1]=>10111001=>4 [2,7,5,6,3,8,1,4]=>[7,2,4,3,6,1,8,5]=>[1,2,2,2,1]=>11010101=>6 [5,7,2,6,3,8,1,4]=>[4,2,7,3,6,1,8,5]=>[1,2,2,2,1]=>11010101=>6 [5,7,2,6,8,4,1,3]=>[4,2,7,3,1,5,8,6]=>[1,2,1,3,1]=>11011001=>4 [4,2,3,8,5,6,1,7]=>[5,7,6,1,4,3,8,2]=>[2,1,2,2,1]=>10110101=>6 [5,2,3,8,7,6,1,4]=>[4,7,6,1,2,3,8,5]=>[2,1,4,1]=>10110001=>4 [8,2,3,7,5,6,1,4]=>[1,7,6,2,4,3,8,5]=>[2,1,2,2,1]=>10110101=>6 [6,1,8,3,7,2,5,4]=>[3,8,1,6,2,7,4,5]=>[2,2,2,2]=>10101010=>7 [1,7,8,4,2,6,5,3]=>[8,2,1,5,7,3,4,6]=>[1,1,3,3]=>11100100=>3 [4,7,1,8,2,5,6,3]=>[5,2,8,1,7,4,3,6]=>[1,2,2,1,2]=>11010110=>5 [3,7,4,8,5,2,1,6]=>[6,2,5,1,4,7,8,3]=>[1,2,4,1]=>11010001=>4 [2,4,3,8,5,6,1,7]=>[7,5,6,1,4,3,8,2]=>[1,2,2,2,1]=>11010101=>6 [7,5,8,6,3,2,1,4]=>[2,4,1,3,6,7,8,5]=>[2,5,1]=>10100001=>4 [6,5,8,7,3,2,1,4]=>[3,4,1,2,6,7,8,5]=>[2,5,1]=>10100001=>4 [8,5,7,6,3,2,1,4]=>[1,4,2,3,6,7,8,5]=>[2,5,1]=>10100001=>4 [2,5,3,8,7,6,1,4]=>[7,4,6,1,2,3,8,5]=>[1,2,4,1]=>11010001=>4 [3,7,5,8,6,2,1,4]=>[6,2,4,1,3,7,8,5]=>[1,2,4,1]=>11010001=>4 [3,7,8,6,5,2,1,4]=>[6,2,1,3,4,7,8,5]=>[1,1,5,1]=>11100001=>2 [1,8,7,3,6,2,5,4]=>[8,1,2,6,3,7,4,5]=>[1,3,2,2]=>11001010=>5 [6,8,7,5,3,2,1,4]=>[3,1,2,4,6,7,8,5]=>[1,6,1]=>11000001=>2 [5,7,6,8,3,4,1,2]=>[4,2,3,1,6,5,8,7]=>[1,2,2,2,1]=>11010101=>6 [3,7,6,8,4,5,1,2]=>[6,2,3,1,5,4,8,7]=>[1,2,2,2,1]=>11010101=>6 [1,5,4,7,6,8,2,3]=>[8,4,5,2,3,1,7,6]=>[1,2,2,2,1]=>11010101=>6 [1,7,4,6,5,8,2,3]=>[8,2,5,3,4,1,7,6]=>[1,2,2,2,1]=>11010101=>6 [3,7,4,6,5,8,1,2]=>[6,2,5,3,4,1,8,7]=>[1,2,2,2,1]=>11010101=>6 [3,5,4,8,6,7,1,2]=>[6,4,5,1,3,2,8,7]=>[1,2,2,2,1]=>11010101=>6 [3,8,4,6,5,7,1,2]=>[6,1,5,3,4,2,8,7]=>[1,2,2,2,1]=>11010101=>6 [3,6,4,7,5,8,1,2]=>[6,3,5,2,4,1,8,7]=>[1,2,2,2,1]=>11010101=>6 [1,6,2,7,5,8,3,4]=>[8,3,7,2,4,1,6,5]=>[1,2,2,2,1]=>11010101=>6 [1,6,4,8,5,7,2,3]=>[8,3,5,1,4,2,7,6]=>[1,2,2,2,1]=>11010101=>6 [1,8,4,6,5,7,2,3]=>[8,1,5,3,4,2,7,6]=>[1,2,2,2,1]=>11010101=>6 [1,5,4,8,6,7,2,3]=>[8,4,5,1,3,2,7,6]=>[1,2,2,2,1]=>11010101=>6 [7,8,1,5,4,6,2,3]=>[2,1,8,4,5,3,7,6]=>[1,2,2,2,1]=>11010101=>6 [7,8,1,5,2,4,3,6]=>[2,1,8,4,7,5,6,3]=>[1,2,2,2,1]=>11010101=>6 [1,8,2,6,5,7,3,4]=>[8,1,7,3,4,2,6,5]=>[1,2,2,2,1]=>11010101=>6 [1,7,2,8,5,6,3,4]=>[8,2,7,1,4,3,6,5]=>[1,2,2,2,1]=>11010101=>6 [1,7,2,6,5,8,3,4]=>[8,2,7,3,4,1,6,5]=>[1,2,2,2,1]=>11010101=>6 [1,5,2,7,6,8,3,4]=>[8,4,7,2,3,1,6,5]=>[1,2,2,2,1]=>11010101=>6 [1,7,6,8,2,5,3,4]=>[8,2,3,1,7,4,6,5]=>[1,2,2,2,1]=>11010101=>6 [1,7,6,8,4,5,2,3]=>[8,2,3,1,5,4,7,6]=>[1,2,2,2,1]=>11010101=>6 [5,7,6,8,1,4,2,3]=>[4,2,3,1,8,5,7,6]=>[1,2,2,2,1]=>11010101=>6 [7,8,5,6,1,3,2,4]=>[2,1,4,3,8,6,7,5]=>[1,2,2,2,1]=>11010101=>6 [5,8,6,7,1,3,2,4]=>[4,1,3,2,8,6,7,5]=>[1,2,2,2,1]=>11010101=>6 [1,3,2,7,6,8,4,5]=>[8,6,7,2,3,1,5,4]=>[1,2,2,2,1]=>11010101=>6 [1,7,6,8,2,4,3,5]=>[8,2,3,1,7,5,6,4]=>[1,2,2,2,1]=>11010101=>6 [7,8,1,3,2,6,4,5]=>[2,1,8,6,7,3,5,4]=>[1,2,2,2,1]=>11010101=>6 [7,8,1,6,2,4,3,5]=>[2,1,8,3,7,5,6,4]=>[1,2,2,2,1]=>11010101=>6 [1,8,6,7,2,4,3,5]=>[8,1,3,2,7,5,6,4]=>[1,2,2,2,1]=>11010101=>6 [7,8,1,4,2,6,3,5]=>[2,1,8,5,7,3,6,4]=>[1,2,2,2,1]=>11010101=>6 [7,8,1,4,2,5,3,6]=>[2,1,8,5,7,4,6,3]=>[1,2,2,2,1]=>11010101=>6 [7,8,2,1,4,3,6,5]=>[2,1,7,8,5,6,3,4]=>[1,3,2,2]=>11001010=>5 [7,8,1,2,4,3,5,6]=>[2,1,8,7,5,6,4,3]=>[1,2,1,2,1,1]=>11011011=>4 [4,3,6,5,8,7,1,2]=>[5,6,3,4,1,2,8,7]=>[2,2,3,1]=>10101001=>6 [3,4,6,5,7,8,1,2]=>[6,5,3,4,2,1,8,7]=>[1,1,2,1,2,1]=>11101101=>4 [3,4,1,5,6,7,8,9,2]=>[7,6,9,5,4,3,2,1,8]=>[1,2,1,1,1,1,2]=>110111110=>3 [3,4,5,1,6,7,8,9,2]=>[7,6,5,9,4,3,2,1,8]=>[1,1,2,1,1,1,2]=>111011110=>3 [3,4,5,6,1,7,8,9,2]=>[7,6,5,4,9,3,2,1,8]=>[1,1,1,2,1,1,2]=>111101110=>3 [3,4,5,6,7,1,8,9,2]=>[7,6,5,4,3,9,2,1,8]=>[1,1,1,1,2,1,2]=>111110110=>3 [3,4,5,6,7,8,1,9,2]=>[7,6,5,4,3,2,9,1,8]=>[1,1,1,1,1,2,2]=>111111010=>3 [3,1,2,5,6,7,8,9,4]=>[7,9,8,5,4,3,2,1,6]=>[2,1,1,1,1,1,2]=>101111110=>3 [3,4,1,2,6,7,8,9,5]=>[7,6,9,8,4,3,2,1,5]=>[1,2,1,1,1,1,2]=>110111110=>3 [3,4,5,1,2,7,8,9,6]=>[7,6,5,9,8,3,2,1,4]=>[1,1,2,1,1,1,2]=>111011110=>3 [3,4,5,6,1,2,8,9,7]=>[7,6,5,4,9,8,2,1,3]=>[1,1,1,2,1,1,2]=>111101110=>3 [3,4,5,6,7,1,2,9,8]=>[7,6,5,4,3,9,8,1,2]=>[1,1,1,1,2,1,2]=>111110110=>3 [3,4,5,6,7,8,1,2,9]=>[7,6,5,4,3,2,9,8,1]=>[1,1,1,1,1,2,1,1]=>111111011=>2 [1,6,2,3,8,7,4,5]=>[8,3,7,6,1,2,5,4]=>[1,2,1,3,1]=>11011001=>4 [1,7,4,3,2,8,6,5]=>[8,2,5,6,7,1,3,4]=>[1,4,3]=>11000100=>3 [1,4,7,6,2,5,8,3]=>[8,5,2,3,7,4,1,6]=>[1,1,3,1,2]=>11100110=>3 [1,2,6,5,3,7,4,8]=>[8,7,3,4,6,2,5,1]=>[1,1,3,2,1]=>11100101=>4 [1,2,6,5,3,7,8,4]=>[8,7,3,4,6,2,1,5]=>[1,1,3,1,2]=>11100110=>3 [1,3,7,5,2,6,8,4]=>[8,6,2,4,7,3,1,5]=>[1,1,3,1,2]=>11100110=>3 [1,3,7,4,2,6,8,5]=>[8,6,2,5,7,3,1,4]=>[1,1,3,1,2]=>11100110=>3 [1,2,6,4,3,7,8,5]=>[8,7,3,5,6,2,1,4]=>[1,1,3,1,2]=>11100110=>3 [1,2,6,4,3,7,5,8]=>[8,7,3,5,6,2,4,1]=>[1,1,3,2,1]=>11100101=>4 [1,4,7,3,2,5,8,6]=>[8,5,2,6,7,4,1,3]=>[1,1,3,1,2]=>11100110=>3 [1,4,3,2,5,8,6,7]=>[8,5,6,7,4,1,3,2]=>[1,3,1,2,1]=>11001101=>4 [1,5,3,2,4,8,6,7]=>[8,4,6,7,5,1,3,2]=>[1,3,1,2,1]=>11001101=>4 [1,7,5,3,2,8,6,4]=>[8,2,4,6,7,1,3,5]=>[1,4,3]=>11000100=>3 [1,5,3,2,4,8,7,6]=>[8,4,6,7,5,1,2,3]=>[1,3,1,3]=>11001100=>3 [7,6,5,4,3,1,8,2]=>[2,3,4,5,6,8,1,7]=>[6,2]=>10000010=>3 [6,8,5,4,3,2,1,7]=>[3,1,4,5,6,7,8,2]=>[1,6,1]=>11000001=>2 [8,7,6,5,4,3,1,9,2]=>[2,3,4,5,6,7,9,1,8]=>[7,2]=>100000010=>3 [7,9,6,5,4,3,2,1,8]=>[3,1,4,5,6,7,8,9,2]=>[1,7,1]=>110000001=>2 [1,7,6,5,4,3,9,8,2]=>[9,3,4,5,6,7,1,2,8]=>[1,5,3]=>110000100=>3 [7,1,5,4,3,8,6,2]=>[2,8,4,5,6,1,3,7]=>[2,3,3]=>10100100=>5 [3,6,5,4,8,1,7,2]=>[6,3,4,5,1,8,2,7]=>[1,3,2,2]=>11001010=>5 [6,8,1,4,3,2,7,5]=>[3,1,8,5,6,7,2,4]=>[1,2,3,2]=>11010010=>5 [2,8,5,4,3,7,1,6]=>[7,1,4,5,6,2,8,3]=>[1,4,2,1]=>11000101=>4 [7,6,1,4,3,8,5,2]=>[2,3,8,5,6,1,4,7]=>[3,2,3]=>10010100=>5 [4,6,5,8,3,1,7,2]=>[5,3,4,1,6,8,2,7]=>[1,2,3,2]=>11010010=>5 [6,8,5,1,3,2,7,4]=>[3,1,4,8,6,7,2,5]=>[1,3,2,2]=>11001010=>5 [1,8,2,4,3,7,6,5]=>[8,1,7,5,6,2,3,4]=>[1,2,2,3]=>11010100=>5 [3,8,5,4,7,2,1,6]=>[6,1,4,5,2,7,8,3]=>[1,3,3,1]=>11001001=>4 [7,6,5,1,3,8,4,2]=>[2,3,4,8,6,1,5,7]=>[4,1,3]=>10001100=>3 [1,6,3,4,8,7,5,2]=>[8,3,6,5,1,2,4,7]=>[1,2,1,4]=>11011000=>3 [1,4,5,8,3,7,6,2]=>[8,5,4,1,6,2,3,7]=>[1,1,1,2,3]=>11110100=>3 [6,8,5,4,1,2,7,3]=>[3,1,4,5,8,7,2,6]=>[1,4,1,2]=>11000110=>3 [1,8,5,2,3,7,6,4]=>[8,1,4,7,6,2,3,5]=>[1,3,1,3]=>11001100=>3 [6,8,2,4,3,7,1,5]=>[3,1,7,5,6,2,8,4]=>[1,2,2,2,1]=>11010101=>6 [1,8,3,4,7,2,6,5]=>[8,1,6,5,2,7,3,4]=>[1,2,1,2,2]=>11011010=>5 [7,5,8,4,3,2,1,6]=>[2,4,1,5,6,7,8,3]=>[2,5,1]=>10100001=>4 [4,8,5,7,3,2,1,6]=>[5,1,4,2,6,7,8,3]=>[1,2,4,1]=>11010001=>4 [5,1,7,6,8,4,3,2]=>[4,8,2,3,1,5,6,7]=>[2,2,4]=>10101000=>5 [6,4,8,5,2,7,1,3]=>[3,5,1,4,7,2,8,6]=>[2,3,2,1]=>10100101=>6 [5,1,8,6,7,4,3,2]=>[4,8,1,3,2,5,6,7]=>[2,2,4]=>10101000=>5 [8,4,7,5,2,6,1,3]=>[1,5,2,4,7,3,8,6]=>[2,3,2,1]=>10100101=>6 [5,4,6,8,2,1,7,3]=>[4,5,3,1,7,8,2,6]=>[2,1,3,2]=>10110010=>5 [6,4,5,8,1,2,7,3]=>[3,5,4,1,8,7,2,6]=>[2,1,2,1,2]=>10110110=>5 [7,4,6,5,2,1,8,3]=>[2,5,3,4,7,8,1,6]=>[2,4,2]=>10100010=>5 [8,4,6,5,2,1,7,3]=>[1,5,3,4,7,8,2,6]=>[2,4,2]=>10100010=>5 [4,8,7,5,6,1,3,2]=>[5,1,2,4,3,8,6,7]=>[1,3,2,2]=>11001010=>5 [2,7,5,1,8,4,3,6]=>[7,2,4,8,1,5,6,3]=>[1,3,3,1]=>11001001=>4 [5,1,8,7,4,2,3,6]=>[4,8,1,2,5,7,6,3]=>[2,4,1,1]=>10100011=>4 [2,8,6,7,4,3,5,1]=>[7,1,3,2,5,6,4,8]=>[1,2,3,2]=>11010010=>5 [3,6,5,2,4,1,8,7]=>[6,3,4,7,5,8,1,2]=>[1,3,2,2]=>11001010=>5 [5,2,3,6,4,1,8,7]=>[4,7,6,3,5,8,1,2]=>[2,1,3,2]=>10110010=>5 [6,1,4,5,3,2,8,7]=>[3,8,5,4,6,7,1,2]=>[2,1,3,2]=>10110010=>5 [3,8,7,1,4,6,5,2]=>[6,1,2,8,5,3,4,7]=>[1,3,1,3]=>11001100=>3 [5,7,1,2,4,3,8,6]=>[4,2,8,7,5,6,1,3]=>[1,2,1,2,2]=>11011010=>5 [4,3,7,6,8,2,5,1]=>[5,6,2,3,1,7,4,8]=>[2,2,2,2]=>10101010=>7 [5,3,6,8,1,7,2,4]=>[4,6,3,1,8,2,7,5]=>[2,1,2,2,1]=>10110101=>6 [3,2,6,8,5,7,1,4]=>[6,7,3,1,4,2,8,5]=>[2,1,2,2,1]=>10110101=>6 [6,3,7,2,4,8,5,1]=>[3,6,2,7,5,1,4,8]=>[2,2,1,3]=>10101100=>5 [7,4,8,6,5,2,1,3]=>[2,5,1,3,4,7,8,6]=>[2,5,1]=>10100001=>4 [7,1,8,2,5,4,3,6]=>[2,8,1,7,4,5,6,3]=>[2,2,3,1]=>10101001=>6 [2,5,3,7,4,1,8,6]=>[7,4,6,2,5,8,1,3]=>[1,2,3,2]=>11010010=>5 [3,6,4,7,5,1,8,2]=>[6,3,5,2,4,8,1,7]=>[1,2,3,2]=>11010010=>5 [8,4,7,6,2,3,1,5]=>[1,5,2,3,7,6,8,4]=>[2,3,2,1]=>10100101=>6 [8,4,7,1,2,5,6,3]=>[1,5,2,8,7,4,3,6]=>[2,2,1,1,2]=>10101110=>5 [4,2,8,7,3,5,6,1]=>[5,7,1,2,6,4,3,8]=>[2,3,1,2]=>10100110=>5 [8,1,7,4,2,5,6,3]=>[1,8,2,5,7,4,3,6]=>[2,3,1,2]=>10100110=>5 [7,4,3,8,2,5,6,1]=>[2,5,6,1,7,4,3,8]=>[3,2,1,2]=>10010110=>5 [6,4,1,5,8,2,7,3]=>[3,5,8,4,1,7,2,6]=>[3,1,2,2]=>10011010=>5 [2,5,8,7,3,6,1,4]=>[7,4,1,2,6,3,8,5]=>[1,1,3,2,1]=>11100101=>4 [2,1,5,8,7,4,6,3]=>[7,8,4,1,2,5,3,6]=>[2,1,3,2]=>10110010=>5 [8,3,5,6,7,4,1,2]=>[1,6,4,3,2,5,8,7]=>[2,1,1,3,1]=>10111001=>4 [7,4,3,2,8,5,6,1]=>[2,5,6,7,1,4,3,8]=>[4,2,2]=>10001010=>5 [4,2,7,1,8,5,6,3]=>[5,7,2,8,1,4,3,6]=>[2,2,2,2]=>10101010=>7 [4,1,7,2,8,5,6,3]=>[5,8,2,7,1,4,3,6]=>[2,2,2,2]=>10101010=>7 [2,4,8,7,3,5,6,1]=>[7,5,1,2,6,4,3,8]=>[1,1,3,1,2]=>11100110=>3 [4,7,8,3,1,5,6,2]=>[5,2,1,6,8,4,3,7]=>[1,1,3,1,2]=>11100110=>3 [3,4,7,2,8,5,6,1]=>[6,5,2,7,1,4,3,8]=>[1,1,2,2,2]=>11101010=>5 [3,7,1,4,8,5,6,2]=>[6,2,8,5,1,4,3,7]=>[1,2,1,2,2]=>11011010=>5 [7,2,3,4,8,5,6,1]=>[2,7,6,5,1,4,3,8]=>[2,1,1,2,2]=>10111010=>5 [6,1,8,5,2,7,4,3]=>[3,8,1,4,7,2,5,6]=>[2,3,3]=>10100100=>5 [2,1,7,4,5,8,6,3]=>[7,8,2,5,4,1,3,6]=>[2,2,1,3]=>10101100=>5 [2,1,8,3,6,7,5,4]=>[7,8,1,6,3,2,4,5]=>[2,2,1,3]=>10101100=>5 [8,2,1,6,4,7,5,3]=>[1,7,8,3,5,2,4,6]=>[3,2,3]=>10010100=>5 [7,8,2,6,4,1,5,3]=>[2,1,7,3,5,8,4,6]=>[1,2,3,2]=>11010010=>5 [2,6,3,5,8,7,1,4]=>[7,3,6,4,1,2,8,5]=>[1,2,1,3,1]=>11011001=>4 [7,6,2,1,5,8,4,3]=>[2,3,7,8,4,1,5,6]=>[4,1,3]=>10001100=>3 [4,5,2,7,6,1,8,3]=>[5,4,7,2,3,8,1,6]=>[1,2,3,2]=>11010010=>5 [5,1,6,8,4,7,2,3]=>[4,8,3,1,5,2,7,6]=>[2,1,2,2,1]=>10110101=>6 [3,6,8,7,5,2,1,4]=>[6,3,1,2,4,7,8,5]=>[1,1,5,1]=>11100001=>2 [7,4,8,6,5,2,3,1]=>[2,5,1,3,4,7,6,8]=>[2,4,2]=>10100010=>5 [8,1,6,4,7,3,2,5]=>[1,8,3,5,2,6,7,4]=>[2,2,3,1]=>10101001=>6 [7,6,4,1,2,3,8,5]=>[2,3,5,8,7,6,1,4]=>[4,1,1,2]=>10001110=>3 [2,6,4,8,5,3,7,1]=>[7,3,5,1,4,6,2,8]=>[1,2,3,2]=>11010010=>5 [7,3,5,8,4,2,1,6]=>[2,6,4,1,5,7,8,3]=>[2,1,4,1]=>10110001=>4 [3,2,5,8,4,1,7,6]=>[6,7,4,1,5,8,2,3]=>[2,1,3,2]=>10110010=>5 [8,4,7,1,5,2,3,6]=>[1,5,2,8,4,7,6,3]=>[2,2,2,1,1]=>10101011=>6 [4,8,7,5,6,1,2,3]=>[5,1,2,4,3,8,7,6]=>[1,3,2,1,1]=>11001011=>4 [6,1,4,8,7,3,5,2]=>[3,8,5,1,2,6,4,7]=>[2,1,3,2]=>10110010=>5 [7,2,8,4,3,5,6,1]=>[2,7,1,5,6,4,3,8]=>[2,3,1,2]=>10100110=>5 [4,7,8,1,3,5,6,2]=>[5,2,1,8,6,4,3,7]=>[1,1,2,1,1,2]=>11101110=>3 [8,7,3,4,1,5,6,2]=>[1,2,6,5,8,4,3,7]=>[3,2,1,2]=>10010110=>5 [4,8,2,7,3,5,6,1]=>[5,1,7,2,6,4,3,8]=>[1,2,2,1,2]=>11010110=>5 [3,1,8,7,2,5,6,4]=>[6,8,1,2,7,4,3,5]=>[2,3,1,2]=>10100110=>5 [3,8,1,7,2,5,6,4]=>[6,1,8,2,7,4,3,5]=>[1,2,2,1,2]=>11010110=>5 [8,2,3,7,1,5,6,4]=>[1,7,6,2,8,4,3,5]=>[2,1,2,1,2]=>10110110=>5 [6,4,8,7,1,3,2,5]=>[3,5,1,2,8,6,7,4]=>[2,3,2,1]=>10100101=>6 [2,8,4,6,7,3,1,5]=>[7,1,5,3,2,6,8,4]=>[1,2,1,3,1]=>11011001=>4 [4,3,8,2,7,6,1,5]=>[5,6,1,7,2,3,8,4]=>[2,2,3,1]=>10101001=>6 [6,8,4,2,1,3,7,5]=>[3,1,5,7,8,6,2,4]=>[1,4,1,2]=>11000110=>3 [7,8,2,4,3,5,6,1]=>[2,1,7,5,6,4,3,8]=>[1,2,2,1,2]=>11010110=>5 [2,8,3,7,1,5,6,4]=>[7,1,6,2,8,4,3,5]=>[1,2,2,1,2]=>11010110=>5 [8,1,2,7,3,5,6,4]=>[1,8,7,2,6,4,3,5]=>[2,1,2,1,2]=>10110110=>5 [6,4,1,3,2,8,5,7]=>[3,5,8,6,7,1,4,2]=>[3,2,2,1]=>10010101=>6 [5,3,8,6,2,1,4,7]=>[4,6,1,3,7,8,5,2]=>[2,4,1,1]=>10100011=>4 [4,6,5,2,8,3,1,7]=>[5,3,4,7,1,6,8,2]=>[1,3,3,1]=>11001001=>4 [4,3,7,5,1,8,2,6]=>[5,6,2,4,8,1,7,3]=>[2,3,2,1]=>10100101=>6 [6,8,5,2,7,4,3,1]=>[3,1,4,7,2,5,6,8]=>[1,3,4]=>11001000=>3 [7,2,5,4,3,8,1,6]=>[2,7,4,5,6,1,8,3]=>[2,3,2,1]=>10100101=>6 [3,6,8,1,4,5,2,7]=>[6,3,1,8,5,4,7,2]=>[1,1,2,1,2,1]=>11101101=>4 [6,8,1,2,4,5,3,7]=>[3,1,8,7,5,4,6,2]=>[1,2,1,1,2,1]=>11011101=>4 [8,1,6,2,4,5,3,7]=>[1,8,3,7,5,4,6,2]=>[2,2,1,2,1]=>10101101=>6 [3,8,6,1,2,5,4,7]=>[6,1,3,8,7,4,5,2]=>[1,3,1,2,1]=>11001101=>4 [5,8,1,6,2,3,4,7]=>[4,1,8,3,7,6,5,2]=>[1,2,2,1,1,1]=>11010111=>4 [4,1,6,5,8,2,3,7]=>[5,8,3,4,1,7,6,2]=>[2,2,2,1,1]=>10101011=>6 [4,3,8,6,2,5,1,7]=>[5,6,1,3,7,4,8,2]=>[2,3,2,1]=>10100101=>6 [8,3,6,1,4,5,2,7]=>[1,6,3,8,5,4,7,2]=>[2,2,1,2,1]=>10101101=>6 [2,3,6,8,4,5,1,7]=>[7,6,3,1,5,4,8,2]=>[1,1,1,2,2,1]=>11110101=>4 [2,7,5,4,3,8,1,6]=>[7,2,4,5,6,1,8,3]=>[1,4,2,1]=>11000101=>4 [6,3,8,7,4,2,5,1]=>[3,6,1,2,5,7,4,8]=>[2,4,2]=>10100010=>5 [5,8,4,3,7,6,1,2]=>[4,1,5,6,2,3,8,7]=>[1,3,3,1]=>11001001=>4 [8,7,4,3,1,6,2,5]=>[1,2,5,6,8,3,7,4]=>[5,2,1]=>10000101=>4 [1,7,4,3,8,6,2,5]=>[8,2,5,6,1,3,7,4]=>[1,3,3,1]=>11001001=>4 [7,1,5,3,4,8,2,6]=>[2,8,4,6,5,1,7,3]=>[2,2,1,2,1]=>10101101=>6 [2,8,6,1,7,4,5,3]=>[7,1,3,8,2,5,4,6]=>[1,3,2,2]=>11001010=>5 [4,8,6,5,7,2,1,3]=>[5,1,3,4,2,7,8,6]=>[1,3,3,1]=>11001001=>4 [4,7,6,8,2,1,5,3]=>[5,2,3,1,7,8,4,6]=>[1,2,3,2]=>11010010=>5 [6,1,8,7,4,3,5,2]=>[3,8,1,2,5,6,4,7]=>[2,4,2]=>10100010=>5 [8,5,4,3,1,6,7,2]=>[1,4,5,6,8,3,2,7]=>[5,1,2]=>10000110=>3 [1,5,8,6,3,4,7,2]=>[8,4,1,3,6,5,2,7]=>[1,1,3,1,2]=>11100110=>3 [2,5,8,6,3,4,7,1]=>[7,4,1,3,6,5,2,8]=>[1,1,3,1,2]=>11100110=>3 [4,1,3,8,5,6,7,2]=>[5,8,6,1,4,3,2,7]=>[2,1,2,1,2]=>10110110=>5 [6,5,8,4,3,1,7,2]=>[3,4,1,5,6,8,2,7]=>[2,4,2]=>10100010=>5 [4,6,5,2,8,1,7,3]=>[5,3,4,7,1,8,2,6]=>[1,3,2,2]=>11001010=>5 [7,2,8,1,3,6,4,5]=>[2,7,1,8,6,3,5,4]=>[2,2,1,2,1]=>10101101=>6 [1,8,5,2,3,6,7,4]=>[8,1,4,7,6,3,2,5]=>[1,3,1,1,2]=>11001110=>3 [1,8,3,2,5,6,7,4]=>[8,1,6,7,4,3,2,5]=>[1,3,1,1,2]=>11001110=>3 [2,8,3,1,5,6,7,4]=>[7,1,6,8,4,3,2,5]=>[1,3,1,1,2]=>11001110=>3 [4,8,3,2,5,6,7,1]=>[5,1,6,7,4,3,2,8]=>[1,3,1,1,2]=>11001110=>3 [8,2,3,1,5,6,7,4]=>[1,7,6,8,4,3,2,5]=>[2,2,1,1,2]=>10101110=>5 [2,1,8,3,5,6,7,4]=>[7,8,1,6,4,3,2,5]=>[2,2,1,1,2]=>10101110=>5 [1,4,8,2,3,6,7,5]=>[8,5,1,7,6,3,2,4]=>[1,1,2,1,1,2]=>11101110=>3 [3,1,2,7,8,6,4,5]=>[6,8,7,2,1,3,5,4]=>[2,1,1,3,1]=>10111001=>4 [7,5,1,8,2,4,3,6]=>[2,4,8,1,7,5,6,3]=>[3,2,2,1]=>10010101=>6 [3,5,8,1,2,4,7,6]=>[6,4,1,8,7,5,2,3]=>[1,1,2,1,1,2]=>11101110=>3 [4,5,8,1,2,3,7,6]=>[5,4,1,8,7,6,2,3]=>[1,1,2,1,1,2]=>11101110=>3 [4,2,7,1,8,6,3,5]=>[5,7,2,8,1,3,6,4]=>[2,2,3,1]=>10101001=>6 [3,8,4,1,2,6,7,5]=>[6,1,5,8,7,3,2,4]=>[1,3,1,1,2]=>11001110=>3 [5,4,8,2,3,6,7,1]=>[4,5,1,7,6,3,2,8]=>[2,2,1,1,2]=>10101110=>5 [5,8,3,6,7,4,1,2]=>[4,1,6,3,2,5,8,7]=>[1,2,1,3,1]=>11011001=>4 [2,3,1,6,8,4,7,5]=>[7,6,8,3,1,5,2,4]=>[1,2,1,2,2]=>11011010=>5 [2,4,3,7,1,8,5,6]=>[7,5,6,2,8,1,4,3]=>[1,2,2,2,1]=>11010101=>6 [1,4,7,3,2,8,5,6]=>[8,5,2,6,7,1,4,3]=>[1,1,3,2,1]=>11100101=>4 [2,7,1,4,3,8,5,6]=>[7,2,8,5,6,1,4,3]=>[1,2,2,2,1]=>11010101=>6 [2,4,1,8,6,3,7,5]=>[7,5,8,1,3,6,2,4]=>[1,2,3,2]=>11010010=>5 [8,4,1,3,6,2,7,5]=>[1,5,8,6,3,7,2,4]=>[3,1,2,2]=>10011010=>5 [6,8,5,1,7,2,3,4]=>[3,1,4,8,2,7,6,5]=>[1,3,2,1,1]=>11001011=>4 [7,3,6,5,8,2,1,4]=>[2,6,3,4,1,7,8,5]=>[2,2,3,1]=>10101001=>6 [7,6,3,5,8,2,1,4]=>[2,3,6,4,1,7,8,5]=>[3,1,3,1]=>10011001=>4 [4,5,8,7,3,6,1,2]=>[5,4,1,2,6,3,8,7]=>[1,1,3,2,1]=>11100101=>4 [3,5,2,8,6,1,7,4]=>[6,4,7,1,3,8,2,5]=>[1,2,3,2]=>11010010=>5 [8,2,5,6,1,4,7,3]=>[1,7,4,3,8,5,2,6]=>[2,1,2,1,2]=>10110110=>5 [8,6,5,4,1,2,7,3]=>[1,3,4,5,8,7,2,6]=>[5,1,2]=>10000110=>3 [2,6,1,8,3,7,5,4]=>[7,3,8,1,6,2,4,5]=>[1,2,2,3]=>11010100=>5 [4,7,1,6,2,8,5,3]=>[5,2,8,3,7,1,4,6]=>[1,2,2,3]=>11010100=>5 [6,1,5,3,8,7,2,4]=>[3,8,4,6,1,2,7,5]=>[2,2,3,1]=>10101001=>6 [2,8,6,3,7,1,5,4]=>[7,1,3,6,2,8,4,5]=>[1,3,2,2]=>11001010=>5 [7,6,1,5,8,2,3,4]=>[2,3,8,4,1,7,6,5]=>[3,1,2,1,1]=>10011011=>4 [3,6,8,5,1,2,7,4]=>[6,3,1,4,8,7,2,5]=>[1,1,3,1,2]=>11100110=>3 [6,5,2,4,8,1,7,3]=>[3,4,7,5,1,8,2,6]=>[3,1,2,2]=>10011010=>5 [5,1,4,8,2,6,7,3]=>[4,8,5,1,7,3,2,6]=>[2,1,2,1,2]=>10110110=>5 [4,8,2,5,1,6,7,3]=>[5,1,7,4,8,3,2,6]=>[1,2,2,1,2]=>11010110=>5 [3,4,8,5,2,6,7,1]=>[6,5,1,4,7,3,2,8]=>[1,1,3,1,2]=>11100110=>3 [4,2,1,8,5,6,7,3]=>[5,7,8,1,4,3,2,6]=>[3,2,1,2]=>10010110=>5 [1,5,4,8,2,6,7,3]=>[8,4,5,1,7,3,2,6]=>[1,2,2,1,2]=>11010110=>5 [7,2,1,5,8,6,3,4]=>[2,7,8,4,1,3,6,5]=>[3,1,3,1]=>10011001=>4 [2,8,4,5,1,6,7,3]=>[7,1,5,4,8,3,2,6]=>[1,2,2,1,2]=>11010110=>5 [5,4,8,3,7,6,1,2]=>[4,5,1,6,2,3,8,7]=>[2,2,3,1]=>10101001=>6 [3,1,5,8,6,2,7,4]=>[6,8,4,1,3,7,2,5]=>[2,1,3,2]=>10110010=>5 [6,3,4,8,5,1,7,2]=>[3,6,5,1,4,8,2,7]=>[2,1,3,2]=>10110010=>5 [5,3,4,8,1,6,7,2]=>[4,6,5,1,8,3,2,7]=>[2,1,2,1,2]=>10110110=>5 [7,6,1,2,8,3,5,4]=>[2,3,8,7,1,6,4,5]=>[3,1,2,2]=>10011010=>5 [7,5,8,4,1,2,6,3]=>[2,4,1,5,8,7,3,6]=>[2,3,1,2]=>10100110=>5 [7,5,8,4,6,1,3,2]=>[2,4,1,5,3,8,6,7]=>[2,2,2,2]=>10101010=>7 [6,5,4,8,7,1,3,2]=>[3,4,5,1,2,8,6,7]=>[3,3,2]=>10010010=>5 [6,5,4,8,1,2,7,3]=>[3,4,5,1,8,7,2,6]=>[3,2,1,2]=>10010110=>5 [7,5,1,6,2,3,8,4]=>[2,4,8,3,7,6,1,5]=>[3,2,1,2]=>10010110=>5 [7,5,1,6,8,2,4,3]=>[2,4,8,3,1,7,5,6]=>[3,1,2,2]=>10011010=>5 [6,5,4,1,8,2,7,3]=>[3,4,5,8,1,7,2,6]=>[4,2,2]=>10001010=>5 [6,5,4,7,1,2,8,3]=>[3,4,5,2,8,7,1,6]=>[3,2,1,2]=>10010110=>5 [6,5,4,7,8,1,3,2]=>[3,4,5,2,1,8,6,7]=>[3,1,2,2]=>10011010=>5 [6,5,3,7,1,4,2,8]=>[3,4,6,2,8,5,7,1]=>[3,2,2,1]=>10010101=>6 [6,5,3,1,8,4,2,7]=>[3,4,6,8,1,5,7,2]=>[4,3,1]=>10001001=>4 [7,5,1,4,8,3,2,6]=>[2,4,8,5,1,6,7,3]=>[3,1,3,1]=>10011001=>4 [8,1,6,4,7,3,5,2]=>[1,8,3,5,2,6,4,7]=>[2,2,2,2]=>10101010=>7 [7,5,1,4,8,3,6,2]=>[2,4,8,5,1,6,3,7]=>[3,1,2,2]=>10011010=>5 [6,5,3,7,1,4,8,2]=>[3,4,6,2,8,5,1,7]=>[3,2,1,2]=>10010110=>5 [6,4,3,1,5,8,7,2]=>[3,5,6,8,4,1,2,7]=>[4,1,3]=>10001100=>3 [7,4,1,5,3,8,6,2]=>[2,5,8,4,6,1,3,7]=>[3,2,3]=>10010100=>5 [8,1,5,4,3,7,6,2]=>[1,8,4,5,6,2,3,7]=>[2,3,3]=>10100100=>5 [8,1,5,4,3,7,2,6]=>[1,8,4,5,6,2,7,3]=>[2,3,2,1]=>10100101=>6 [7,4,1,5,3,8,2,6]=>[2,5,8,4,6,1,7,3]=>[3,2,2,1]=>10010101=>6 [7,4,1,5,3,2,6,8]=>[2,5,8,4,6,7,3,1]=>[3,3,1,1]=>10010011=>4 [8,1,5,4,3,2,6,7]=>[1,8,4,5,6,7,3,2]=>[2,4,1,1]=>10100011=>4 [8,1,6,4,2,5,3,7]=>[1,8,3,5,7,4,6,2]=>[2,3,2,1]=>10100101=>6 [6,5,3,1,2,7,4,8]=>[3,4,6,8,7,2,5,1]=>[4,1,2,1]=>10001101=>4 [6,5,3,8,1,4,2,7]=>[3,4,6,1,8,5,7,2]=>[3,2,2,1]=>10010101=>6 [7,6,8,1,4,3,2,5]=>[2,3,1,8,5,6,7,4]=>[2,2,3,1]=>10101001=>6 [8,1,7,2,5,4,3,6]=>[1,8,2,7,4,5,6,3]=>[2,2,3,1]=>10101001=>6 [8,1,7,2,5,4,6,3]=>[1,8,2,7,4,5,3,6]=>[2,2,2,2]=>10101010=>7 [7,6,1,2,5,4,8,3]=>[2,3,8,7,4,5,1,6]=>[3,1,2,2]=>10011010=>5 [6,5,3,8,1,4,7,2]=>[3,4,6,1,8,5,2,7]=>[3,2,1,2]=>10010110=>5 [6,5,3,1,2,7,8,4]=>[3,4,6,8,7,2,1,5]=>[4,1,1,2]=>10001110=>3 [7,5,1,4,2,6,8,3]=>[2,4,8,5,7,3,1,6]=>[3,2,1,2]=>10010110=>5 [8,1,6,4,2,5,7,3]=>[1,8,3,5,7,4,2,6]=>[2,3,1,2]=>10100110=>5 [7,4,1,5,3,2,8,6]=>[2,5,8,4,6,7,1,3]=>[3,3,2]=>10010010=>5 [6,4,3,1,5,2,8,7]=>[3,5,6,8,4,7,1,2]=>[4,2,2]=>10001010=>5 [6,4,3,1,5,7,2,8]=>[3,5,6,8,4,2,7,1]=>[4,1,2,1]=>10001101=>4 [7,4,1,5,3,6,2,8]=>[2,5,8,4,6,3,7,1]=>[3,2,2,1]=>10010101=>6 [8,1,5,4,3,6,2,7]=>[1,8,4,5,6,3,7,2]=>[2,3,2,1]=>10100101=>6 [8,1,5,4,3,6,7,2]=>[1,8,4,5,6,3,2,7]=>[2,3,1,2]=>10100110=>5 [7,4,1,5,3,6,8,2]=>[2,5,8,4,6,3,1,7]=>[3,2,1,2]=>10010110=>5 [6,4,3,1,5,7,8,2]=>[3,5,6,8,4,2,1,7]=>[4,1,1,2]=>10001110=>3 [6,7,3,8,4,5,1,2]=>[3,2,6,1,5,4,8,7]=>[1,2,2,2,1]=>11010101=>6 [6,7,4,5,1,8,2,3]=>[3,2,5,4,8,1,7,6]=>[1,2,2,2,1]=>11010101=>6 [4,7,5,6,2,3,1,8]=>[5,2,4,3,7,6,8,1]=>[1,2,2,2,1]=>11010101=>6 [4,7,5,6,1,8,2,3]=>[5,2,4,3,8,1,7,6]=>[1,2,2,2,1]=>11010101=>6 [4,7,5,6,3,8,1,2]=>[5,2,4,3,6,1,8,7]=>[1,2,2,2,1]=>11010101=>6 [3,7,5,8,4,6,1,2]=>[6,2,4,1,5,3,8,7]=>[1,2,2,2,1]=>11010101=>6 [4,5,3,8,6,7,1,2]=>[5,4,6,1,3,2,8,7]=>[1,2,2,2,1]=>11010101=>6 [4,8,3,6,5,7,1,2]=>[5,1,6,3,4,2,8,7]=>[1,2,2,2,1]=>11010101=>6 [5,6,4,7,1,8,2,3]=>[4,3,5,2,8,1,7,6]=>[1,2,2,2,1]=>11010101=>6 [5,6,1,7,3,8,2,4]=>[4,3,8,2,6,1,7,5]=>[1,2,2,2,1]=>11010101=>6 [5,6,1,8,4,7,2,3]=>[4,3,8,1,5,2,7,6]=>[1,2,2,2,1]=>11010101=>6 [4,8,1,6,5,7,2,3]=>[5,1,8,3,4,2,7,6]=>[1,2,2,2,1]=>11010101=>6 [4,5,1,8,6,7,2,3]=>[5,4,8,1,3,2,7,6]=>[1,2,2,2,1]=>11010101=>6 [7,8,4,5,1,6,2,3]=>[2,1,5,4,8,3,7,6]=>[1,2,2,2,1]=>11010101=>6 [4,8,2,3,1,6,5,7]=>[5,1,7,6,8,3,4,2]=>[1,2,2,2,1]=>11010101=>6 [5,6,2,8,1,4,3,7]=>[4,3,7,1,8,5,6,2]=>[1,2,2,2,1]=>11010101=>6 [5,6,3,4,1,8,2,7]=>[4,3,6,5,8,1,7,2]=>[1,2,2,2,1]=>11010101=>6 [3,6,4,5,2,7,1,8]=>[6,3,5,4,7,2,8,1]=>[1,2,2,2,1]=>11010101=>6 [3,6,4,5,1,8,2,7]=>[6,3,5,4,8,1,7,2]=>[1,2,2,2,1]=>11010101=>6 [2,6,4,8,1,5,3,7]=>[7,3,5,1,8,4,6,2]=>[1,2,2,2,1]=>11010101=>6 [2,8,3,6,1,5,4,7]=>[7,1,6,3,8,4,5,2]=>[1,2,2,2,1]=>11010101=>6 [2,8,3,4,1,6,5,7]=>[7,1,6,5,8,3,4,2]=>[1,2,2,2,1]=>11010101=>6 [7,8,2,5,3,4,1,6]=>[2,1,7,4,6,5,8,3]=>[1,2,2,2,1]=>11010101=>6 [7,8,1,5,3,6,2,4]=>[2,1,8,4,6,3,7,5]=>[1,2,2,2,1]=>11010101=>6 [1,5,3,8,6,7,2,4]=>[8,4,6,1,3,2,7,5]=>[1,2,2,2,1]=>11010101=>6 [1,8,3,6,2,7,4,5]=>[8,1,6,3,7,2,5,4]=>[1,2,2,2,1]=>11010101=>6 [1,6,4,8,2,7,3,5]=>[8,3,5,1,7,2,6,4]=>[1,2,2,2,1]=>11010101=>6 [2,6,4,7,3,5,1,8]=>[7,3,5,2,6,4,8,1]=>[1,2,2,2,1]=>11010101=>6 [2,7,3,6,4,5,1,8]=>[7,2,6,3,5,4,8,1]=>[1,2,2,2,1]=>11010101=>6 [1,7,3,6,4,8,2,5]=>[8,2,6,3,5,1,7,4]=>[1,2,2,2,1]=>11010101=>6 [1,7,2,8,4,6,3,5]=>[8,2,7,1,5,3,6,4]=>[1,2,2,2,1]=>11010101=>6 [1,7,5,8,4,6,2,3]=>[8,2,4,1,5,3,7,6]=>[1,2,2,2,1]=>11010101=>6 [1,7,5,8,2,6,3,4]=>[8,2,4,1,7,3,6,5]=>[1,2,2,2,1]=>11010101=>6 [1,7,5,6,3,8,2,4]=>[8,2,4,3,6,1,7,5]=>[1,2,2,2,1]=>11010101=>6 [2,7,5,6,3,4,1,8]=>[7,2,4,3,6,5,8,1]=>[1,2,2,2,1]=>11010101=>6 [6,7,2,5,3,4,1,8]=>[3,2,7,4,6,5,8,1]=>[1,2,2,2,1]=>11010101=>6 [6,7,1,5,3,8,2,4]=>[3,2,8,4,6,1,7,5]=>[1,2,2,2,1]=>11010101=>6 [6,7,5,8,1,4,2,3]=>[3,2,4,1,8,5,7,6]=>[1,2,2,2,1]=>11010101=>6 [5,8,6,7,2,3,1,4]=>[4,1,3,2,7,6,8,5]=>[1,2,2,2,1]=>11010101=>6 [6,7,2,3,1,8,4,5]=>[3,2,7,6,8,1,5,4]=>[1,2,2,2,1]=>11010101=>6 [6,7,2,8,1,4,3,5]=>[3,2,7,1,8,5,6,4]=>[1,2,2,2,1]=>11010101=>6 [3,4,2,7,5,6,1,8]=>[6,5,7,2,4,3,8,1]=>[1,2,2,2,1]=>11010101=>6 [3,4,1,7,5,8,2,6]=>[6,5,8,2,4,1,7,3]=>[1,2,2,2,1]=>11010101=>6 [2,7,5,8,1,4,3,6]=>[7,2,4,1,8,5,6,3]=>[1,2,2,2,1]=>11010101=>6 [2,3,1,7,5,8,4,6]=>[7,6,8,2,4,1,5,3]=>[1,2,2,2,1]=>11010101=>6 [2,3,1,8,4,7,5,6]=>[7,6,8,1,5,2,4,3]=>[1,2,2,2,1]=>11010101=>6 [7,8,2,3,1,6,4,5]=>[2,1,7,6,8,3,5,4]=>[1,2,2,2,1]=>11010101=>6 [7,8,2,6,1,4,3,5]=>[2,1,7,3,8,5,6,4]=>[1,2,2,2,1]=>11010101=>6 [2,8,6,7,1,4,3,5]=>[7,1,3,2,8,5,6,4]=>[1,2,2,2,1]=>11010101=>6 [2,8,1,4,3,7,5,6]=>[7,1,8,5,6,2,4,3]=>[1,2,2,2,1]=>11010101=>6 [3,7,2,5,4,6,1,8]=>[6,2,7,4,5,3,8,1]=>[1,2,2,2,1]=>11010101=>6 [4,5,2,7,3,6,1,8]=>[5,4,7,2,6,3,8,1]=>[1,2,2,2,1]=>11010101=>6 [4,5,1,8,2,7,3,6]=>[5,4,8,1,7,2,6,3]=>[1,2,2,2,1]=>11010101=>6 [3,4,1,8,2,7,5,6]=>[6,5,8,1,7,2,4,3]=>[1,2,2,2,1]=>11010101=>6 [3,4,1,8,6,7,2,5]=>[6,5,8,1,3,2,7,4]=>[1,2,2,2,1]=>11010101=>6 [3,4,2,5,1,8,6,7]=>[6,5,7,4,8,1,3,2]=>[1,2,2,2,1]=>11010101=>6 [3,4,2,8,1,6,5,7]=>[6,5,7,1,8,3,4,2]=>[1,2,2,2,1]=>11010101=>6 [3,8,2,5,1,6,4,7]=>[6,1,7,4,8,3,5,2]=>[1,2,2,2,1]=>11010101=>6 [4,5,2,8,1,6,3,7]=>[5,4,7,1,8,3,6,2]=>[1,2,2,2,1]=>11010101=>6 [4,5,3,6,1,8,2,7]=>[5,4,6,3,8,1,7,2]=>[1,2,2,2,1]=>11010101=>6 [7,1,5,8,4,6,2,3]=>[2,8,4,1,5,3,7,6]=>[2,1,2,2,1]=>10110101=>6 [8,6,7,1,4,2,5,3]=>[1,3,2,8,5,7,4,6]=>[2,2,2,2]=>10101010=>7 [8,6,3,7,5,1,2,4]=>[1,3,6,2,4,8,7,5]=>[3,3,1,1]=>10010011=>4 [8,6,1,7,3,2,5,4]=>[1,3,8,2,6,7,4,5]=>[3,3,2]=>10010010=>5 [7,6,1,8,3,5,2,4]=>[2,3,8,1,6,4,7,5]=>[3,2,2,1]=>10010101=>6 [7,6,2,8,3,5,1,4]=>[2,3,7,1,6,4,8,5]=>[3,2,2,1]=>10010101=>6 [7,6,2,3,8,5,1,4]=>[2,3,7,6,1,4,8,5]=>[3,1,3,1]=>10011001=>4 [8,7,1,5,2,6,3,4]=>[1,2,8,4,7,3,6,5]=>[3,2,2,1]=>10010101=>6 [8,7,1,5,2,3,6,4]=>[1,2,8,4,7,6,3,5]=>[3,2,1,2]=>10010110=>5 [8,5,2,3,1,7,6,4]=>[1,4,7,6,8,2,3,5]=>[3,2,3]=>10010100=>5 [8,6,2,3,7,1,5,4]=>[1,3,7,6,2,8,4,5]=>[3,1,2,2]=>10011010=>5 [8,6,2,7,3,1,5,4]=>[1,3,7,2,6,8,4,5]=>[3,3,2]=>10010010=>5 [8,6,7,2,4,1,5,3]=>[1,3,2,7,5,8,4,6]=>[2,2,2,2]=>10101010=>7 [8,7,2,5,1,6,3,4]=>[1,2,7,4,8,3,6,5]=>[3,2,2,1]=>10010101=>6 [8,4,2,1,7,6,3,5]=>[1,5,7,8,2,3,6,4]=>[4,3,1]=>10001001=>4 [8,5,2,7,1,6,3,4]=>[1,4,7,2,8,3,6,5]=>[3,2,2,1]=>10010101=>6 [8,5,7,2,1,4,3,6]=>[1,4,2,7,8,5,6,3]=>[2,3,2,1]=>10100101=>6 [5,8,7,3,1,4,2,6]=>[4,1,2,6,8,5,7,3]=>[1,4,2,1]=>11000101=>4 [5,8,7,3,1,4,6,2]=>[4,1,2,6,8,5,3,7]=>[1,4,1,2]=>11000110=>3 [8,5,7,2,1,4,6,3]=>[1,4,2,7,8,5,3,6]=>[2,3,1,2]=>10100110=>5 [8,5,2,7,1,3,6,4]=>[1,4,7,2,8,6,3,5]=>[3,2,1,2]=>10010110=>5 [8,4,2,1,3,7,6,5]=>[1,5,7,8,6,2,3,4]=>[4,1,3]=>10001100=>3 [8,7,4,1,2,3,6,5]=>[1,2,5,8,7,6,3,4]=>[4,1,1,2]=>10001110=>3 [8,7,4,1,2,6,3,5]=>[1,2,5,8,7,3,6,4]=>[4,1,2,1]=>10001101=>4 [8,4,3,1,7,2,6,5]=>[1,5,6,8,2,7,3,4]=>[4,2,2]=>10001010=>5 [8,4,3,1,2,7,6,5]=>[1,5,6,8,7,2,3,4]=>[4,1,3]=>10001100=>3 [8,6,1,3,7,2,5,4]=>[1,3,8,6,2,7,4,5]=>[3,1,2,2]=>10011010=>5 [8,5,1,3,2,7,6,4]=>[1,4,8,6,7,2,3,5]=>[3,2,3]=>10010100=>5 [8,5,7,4,1,6,2,3]=>[1,4,2,5,8,3,7,6]=>[2,3,2,1]=>10100101=>6 [8,5,7,4,1,2,6,3]=>[1,4,2,5,8,7,3,6]=>[2,3,1,2]=>10100110=>5 [8,1,5,4,2,7,6,3]=>[1,8,4,5,7,2,3,6]=>[2,3,3]=>10100100=>5 [8,1,6,4,7,2,5,3]=>[1,8,3,5,2,7,4,6]=>[2,2,2,2]=>10101010=>7 [6,1,5,8,4,2,7,3]=>[3,8,4,1,5,7,2,6]=>[2,1,3,2]=>10110010=>5 [5,8,3,6,4,1,2,7]=>[4,1,6,3,5,8,7,2]=>[1,2,3,1,1]=>11010011=>4 [5,2,8,6,4,1,3,7]=>[4,7,1,3,5,8,6,2]=>[2,4,1,1]=>10100011=>4 [8,4,7,5,1,6,2,3]=>[1,5,2,4,8,3,7,6]=>[2,3,2,1]=>10100101=>6 [8,4,7,5,1,2,6,3]=>[1,5,2,4,8,7,3,6]=>[2,3,1,2]=>10100110=>5 [8,4,7,5,1,2,3,6]=>[1,5,2,4,8,7,6,3]=>[2,3,1,1,1]=>10100111=>4 [8,7,3,5,1,2,6,4]=>[1,2,6,4,8,7,3,5]=>[3,2,1,2]=>10010110=>5 [8,3,2,6,5,1,4,7]=>[1,6,7,3,4,8,5,2]=>[3,3,1,1]=>10010011=>4 [4,8,6,3,5,1,2,7]=>[5,1,3,6,4,8,7,2]=>[1,3,2,1,1]=>11001011=>4 [4,8,7,3,1,5,2,6]=>[5,1,2,6,8,4,7,3]=>[1,4,2,1]=>11000101=>4 [8,4,7,2,1,5,3,6]=>[1,5,2,7,8,4,6,3]=>[2,3,2,1]=>10100101=>6 [8,3,2,7,1,5,4,6]=>[1,6,7,2,8,4,5,3]=>[3,2,2,1]=>10010101=>6 [8,3,2,1,7,6,4,5]=>[1,6,7,8,2,3,5,4]=>[4,3,1]=>10001001=>4 [8,7,3,1,4,2,6,5]=>[1,2,6,8,5,7,3,4]=>[4,2,2]=>10001010=>5 [8,7,3,1,2,6,4,5]=>[1,2,6,8,7,3,5,4]=>[4,1,2,1]=>10001101=>4 [8,7,3,1,2,4,6,5]=>[1,2,6,8,7,5,3,4]=>[4,1,1,2]=>10001110=>3 [8,3,2,1,4,7,6,5]=>[1,6,7,8,5,2,3,4]=>[4,1,3]=>10001100=>3 [8,3,2,1,7,4,6,5]=>[1,6,7,8,2,5,3,4]=>[4,2,2]=>10001010=>5 [8,3,2,7,1,5,6,4]=>[1,6,7,2,8,4,3,5]=>[3,2,1,2]=>10010110=>5 [8,4,7,2,1,5,6,3]=>[1,5,2,7,8,4,3,6]=>[2,3,1,2]=>10100110=>5 [3,8,7,4,1,2,5,6]=>[6,1,2,5,8,7,4,3]=>[1,4,1,1,1]=>11000111=>2 [8,7,2,1,6,3,4,5]=>[1,2,7,8,3,6,5,4]=>[4,2,1,1]=>10001011=>4 [8,7,2,1,3,6,4,5]=>[1,2,7,8,6,3,5,4]=>[4,1,2,1]=>10001101=>4 [8,7,2,1,3,4,6,5]=>[1,2,7,8,6,5,3,4]=>[4,1,1,2]=>10001110=>3 [3,6,5,4,1,2,8,7]=>[6,3,4,5,8,7,1,2]=>[1,4,1,2]=>11000110=>3 [3,8,5,6,7,4,1,2]=>[6,1,4,3,2,5,8,7]=>[1,2,1,3,1]=>11011001=>4 [4,7,5,8,6,2,1,3]=>[5,2,4,1,3,7,8,6]=>[1,2,4,1]=>11010001=>4 [2,5,7,8,6,3,4,1]=>[7,4,2,1,3,6,5,8]=>[1,1,1,3,2]=>11110010=>3 [4,8,5,7,6,3,1,2]=>[5,1,4,2,3,6,8,7]=>[1,2,4,1]=>11010001=>4 [4,6,3,2,1,5,8,7]=>[5,3,6,7,8,4,1,2]=>[1,4,1,2]=>11000110=>3 [6,2,1,5,3,4,8,7]=>[3,7,8,4,6,5,1,2]=>[3,2,1,2]=>10010110=>5 [5,8,1,3,7,6,4,2]=>[4,1,8,6,2,3,5,7]=>[1,2,1,4]=>11011000=>3 [4,7,2,3,6,1,8,5]=>[5,2,7,6,3,8,1,4]=>[1,2,1,2,2]=>11011010=>5 [3,7,4,2,8,1,5,6]=>[6,2,5,7,1,8,4,3]=>[1,3,2,1,1]=>11001011=>4 [4,2,6,8,5,7,3,1]=>[5,7,3,1,4,2,6,8]=>[2,1,2,3]=>10110100=>5 [6,4,2,7,3,8,5,1]=>[3,5,7,2,6,1,4,8]=>[3,2,3]=>10010100=>5 [8,1,6,7,5,3,4,2]=>[1,8,3,2,4,6,5,7]=>[2,1,3,2]=>10110010=>5 [2,1,5,8,7,6,3,4]=>[7,8,4,1,2,3,6,5]=>[2,1,4,1]=>10110001=>4 [2,1,4,7,6,3,8,5]=>[7,8,5,2,3,6,1,4]=>[2,1,3,2]=>10110010=>5 [6,4,7,8,5,3,2,1]=>[3,5,2,1,4,6,7,8]=>[2,1,5]=>10110000=>3 [4,1,3,7,6,2,8,5]=>[5,8,6,2,3,7,1,4]=>[2,1,3,2]=>10110010=>5 [8,5,1,6,3,2,7,4]=>[1,4,8,3,6,7,2,5]=>[3,3,2]=>10010010=>5 [6,3,7,1,5,2,8,4]=>[3,6,2,8,4,7,1,5]=>[2,2,2,2]=>10101010=>7 [3,2,6,8,4,7,5,1]=>[6,7,3,1,5,2,4,8]=>[2,1,2,3]=>10110100=>5 [8,4,6,1,3,2,5,7]=>[1,5,3,8,6,7,4,2]=>[2,2,2,1,1]=>10101011=>6 [4,2,8,6,7,3,1,5]=>[5,7,1,3,2,6,8,4]=>[2,2,3,1]=>10101001=>6 [7,4,3,8,2,1,5,6]=>[2,5,6,1,7,8,4,3]=>[3,3,1,1]=>10010011=>4 [4,7,5,8,1,6,3,2]=>[5,2,4,1,8,3,6,7]=>[1,2,2,3]=>11010100=>5 [6,4,3,2,7,8,1,5]=>[3,5,6,7,2,1,8,4]=>[4,1,2,1]=>10001101=>4 [4,2,5,1,6,7,8,3]=>[5,7,4,8,3,2,1,6]=>[2,2,1,1,2]=>10101110=>5 [2,4,8,5,7,1,3,6]=>[7,5,1,4,2,8,6,3]=>[1,1,2,2,1,1]=>11101011=>4 [3,7,1,4,6,8,5,2]=>[6,2,8,5,3,1,4,7]=>[1,2,1,1,3]=>11011100=>3 [7,8,2,5,6,1,4,3]=>[2,1,7,4,3,8,5,6]=>[1,2,1,2,2]=>11011010=>5 [2,4,3,8,7,5,6,1]=>[7,5,6,1,2,4,3,8]=>[1,2,3,2]=>11010010=>5 [2,6,7,3,5,1,8,4]=>[7,3,2,6,4,8,1,5]=>[1,1,2,2,2]=>11101010=>5 [7,6,8,4,2,5,3,1]=>[2,3,1,5,7,4,6,8]=>[2,3,3]=>10100100=>5 [8,5,7,1,6,3,2,4]=>[1,4,2,8,3,6,7,5]=>[2,2,3,1]=>10101001=>6 [6,5,7,2,8,4,3,1]=>[3,4,2,7,1,5,6,8]=>[2,2,4]=>10101000=>5 [3,4,8,6,5,2,1,7]=>[6,5,1,3,4,7,8,2]=>[1,1,5,1]=>11100001=>2 [2,7,6,1,4,5,8,3]=>[7,2,3,8,5,4,1,6]=>[1,3,1,1,2]=>11001110=>3 [6,5,8,2,1,7,3,4]=>[3,4,1,7,8,2,6,5]=>[2,3,2,1]=>10100101=>6 [7,4,3,5,1,6,8,2]=>[2,5,6,4,8,3,1,7]=>[3,2,1,2]=>10010110=>5 [4,1,6,3,5,8,7,2]=>[5,8,3,6,4,1,2,7]=>[2,2,1,3]=>10101100=>5 [6,2,5,8,4,3,7,1]=>[3,7,4,1,5,6,2,8]=>[2,1,3,2]=>10110010=>5 [8,6,7,1,5,4,3,2]=>[1,3,2,8,4,5,6,7]=>[2,2,4]=>10101000=>5 [2,1,6,5,8,4,7,3]=>[7,8,3,4,1,5,2,6]=>[2,2,2,2]=>10101010=>7 [2,1,6,8,5,4,3,7]=>[7,8,3,1,4,5,6,2]=>[2,1,4,1]=>10110001=>4 [4,1,8,5,6,2,3,7]=>[5,8,1,4,3,7,6,2]=>[2,2,2,1,1]=>10101011=>6 [2,6,4,8,7,3,5,1]=>[7,3,5,1,2,6,4,8]=>[1,2,3,2]=>11010010=>5 [6,2,8,4,3,5,1,7]=>[3,7,1,5,6,4,8,2]=>[2,3,2,1]=>10100101=>6 [4,8,2,7,6,1,3,5]=>[5,1,7,2,3,8,6,4]=>[1,2,3,1,1]=>11010011=>4 [3,1,8,2,7,5,4,6]=>[6,8,1,7,2,4,5,3]=>[2,2,3,1]=>10101001=>6 [3,8,1,2,6,7,4,5]=>[6,1,8,7,3,2,5,4]=>[1,2,1,1,2,1]=>11011101=>4 [5,8,4,3,2,7,1,6]=>[4,1,5,6,7,2,8,3]=>[1,4,2,1]=>11000101=>4 [7,4,8,6,3,2,5,1]=>[2,5,1,3,6,7,4,8]=>[2,4,2]=>10100010=>5 [5,8,4,7,2,1,3,6]=>[4,1,5,2,7,8,6,3]=>[1,2,3,1,1]=>11010011=>4 [2,1,8,4,3,7,5,6]=>[7,8,1,5,6,2,4,3]=>[2,3,2,1]=>10100101=>6 [6,3,8,2,4,5,7,1]=>[3,6,1,7,5,4,2,8]=>[2,2,1,1,2]=>10101110=>5 [5,8,4,2,3,6,1,7]=>[4,1,5,7,6,3,8,2]=>[1,3,1,2,1]=>11001101=>4 [5,8,2,4,3,1,6,7]=>[4,1,7,5,6,8,3,2]=>[1,2,3,1,1]=>11010011=>4 [2,8,3,1,6,4,5,7]=>[7,1,6,8,3,5,4,2]=>[1,3,2,1,1]=>11001011=>4 [8,2,1,3,4,7,5,6]=>[1,7,8,6,5,2,4,3]=>[3,1,1,2,1]=>10011101=>4 [1,4,8,2,6,3,5,7]=>[8,5,1,7,3,6,4,2]=>[1,1,2,2,1,1]=>11101011=>4 [1,2,7,3,5,4,8,6]=>[8,7,2,6,4,5,1,3]=>[1,1,2,2,2]=>11101010=>5 [1,2,3,8,4,5,7,6]=>[8,7,6,1,5,4,2,3]=>[1,1,1,2,1,2]=>11110110=>3 [1,2,8,3,4,5,7,6]=>[8,7,1,6,5,4,2,3]=>[1,1,2,1,1,2]=>11101110=>3 [1,3,8,2,6,4,5,7]=>[8,6,1,7,3,5,4,2]=>[1,1,2,2,1,1]=>11101011=>4 [1,5,7,2,3,6,4,8]=>[8,4,2,7,6,3,5,1]=>[1,1,2,1,2,1]=>11101101=>4 [1,7,2,3,5,4,8,6]=>[8,2,7,6,4,5,1,3]=>[1,2,1,2,2]=>11011010=>5 [1,3,8,2,4,5,7,6]=>[8,6,1,7,5,4,2,3]=>[1,1,2,1,1,2]=>11101110=>3 [1,2,3,8,4,6,7,5]=>[8,7,6,1,5,3,2,4]=>[1,1,1,2,1,2]=>11110110=>3 [1,8,2,3,5,4,6,7]=>[8,1,7,6,4,5,3,2]=>[1,2,1,2,1,1]=>11011011=>4 [1,7,8,2,3,6,4,5]=>[8,2,1,7,6,3,5,4]=>[1,1,2,1,2,1]=>11101101=>4 [1,6,7,8,2,3,5,4]=>[8,3,2,1,7,6,4,5]=>[1,1,1,2,1,2]=>11110110=>3 [1,7,8,2,5,3,6,4]=>[8,2,1,7,4,6,3,5]=>[1,1,2,2,2]=>11101010=>5 [1,7,8,2,4,5,3,6]=>[8,2,1,7,5,4,6,3]=>[1,1,2,1,2,1]=>11101101=>4 [1,2,8,3,6,4,5,7]=>[8,7,1,6,3,5,4,2]=>[1,1,2,2,1,1]=>11101011=>4 [1,8,2,3,6,4,5,7]=>[8,1,7,6,3,5,4,2]=>[1,2,1,2,1,1]=>11011011=>4 [1,2,8,3,5,4,6,7]=>[8,7,1,6,4,5,3,2]=>[1,1,2,2,1,1]=>11101011=>4 [1,2,7,8,3,6,4,5]=>[8,7,2,1,6,3,5,4]=>[1,1,1,2,2,1]=>11110101=>4 [1,5,2,7,8,3,6,4]=>[8,4,7,2,1,6,3,5]=>[1,2,1,2,2]=>11011010=>5 [1,3,2,8,4,6,7,5]=>[8,6,7,1,5,3,2,4]=>[1,2,2,1,2]=>11010110=>5 [1,8,2,3,4,6,7,5]=>[8,1,7,6,5,3,2,4]=>[1,2,1,1,1,2]=>11011110=>3 [1,7,8,2,4,3,6,5]=>[8,2,1,7,5,6,3,4]=>[1,1,2,2,2]=>11101010=>5 [7,6,3,1,5,2,4,8]=>[2,3,6,8,4,7,5,1]=>[4,2,1,1]=>10001011=>4 [6,7,3,1,5,2,8,4]=>[3,2,6,8,4,7,1,5]=>[1,3,2,2]=>11001010=>5 [6,8,3,1,5,2,7,4]=>[3,1,6,8,4,7,2,5]=>[1,3,2,2]=>11001010=>5 [6,8,4,5,1,2,7,3]=>[3,1,5,4,8,7,2,6]=>[1,2,2,1,2]=>11010110=>5 [6,7,4,5,1,2,8,3]=>[3,2,5,4,8,7,1,6]=>[1,2,2,1,2]=>11010110=>5 [7,2,1,6,5,3,4,8]=>[2,7,8,3,4,6,5,1]=>[3,3,1,1]=>10010011=>4 [7,3,6,1,5,2,4,8]=>[2,6,3,8,4,7,5,1]=>[2,2,2,1,1]=>10101011=>6 [7,4,6,5,1,2,3,8]=>[2,5,3,4,8,7,6,1]=>[2,3,1,1,1]=>10100111=>4 [6,7,5,4,1,2,8,3]=>[3,2,4,5,8,7,1,6]=>[1,4,1,2]=>11000110=>3 [5,8,6,4,1,7,2,3]=>[4,1,3,5,8,2,7,6]=>[1,4,2,1]=>11000101=>4 [5,7,6,4,1,8,2,3]=>[4,2,3,5,8,1,7,6]=>[1,4,2,1]=>11000101=>4 [5,6,7,4,1,8,2,3]=>[4,3,2,5,8,1,7,6]=>[1,1,3,2,1]=>11100101=>4 [6,5,7,4,1,2,8,3]=>[3,4,2,5,8,7,1,6]=>[2,3,1,2]=>10100110=>5 [6,4,7,5,1,2,8,3]=>[3,5,2,4,8,7,1,6]=>[2,3,1,2]=>10100110=>5 [6,2,1,7,5,3,8,4]=>[3,7,8,2,4,6,1,5]=>[3,3,2]=>10010010=>5 [6,3,8,1,5,2,7,4]=>[3,6,1,8,4,7,2,5]=>[2,2,2,2]=>10101010=>7 [6,4,8,5,1,2,7,3]=>[3,5,1,4,8,7,2,6]=>[2,3,1,2]=>10100110=>5 [5,6,8,4,1,7,2,3]=>[4,3,1,5,8,2,7,6]=>[1,1,3,2,1]=>11100101=>4 [4,6,8,5,7,1,2,3]=>[5,3,1,4,2,8,7,6]=>[1,1,2,2,1,1]=>11101011=>4 [4,5,8,6,7,1,2,3]=>[5,4,1,3,2,8,7,6]=>[1,1,2,2,1,1]=>11101011=>4 [5,4,8,6,1,7,2,3]=>[4,5,1,3,8,2,7,6]=>[2,3,2,1]=>10100101=>6 [5,3,8,1,6,7,2,4]=>[4,6,1,8,3,2,7,5]=>[2,2,1,2,1]=>10101101=>6 [5,2,1,8,6,7,3,4]=>[4,7,8,1,3,2,6,5]=>[3,2,2,1]=>10010101=>6 [5,2,1,7,6,8,3,4]=>[4,7,8,2,3,1,6,5]=>[3,2,2,1]=>10010101=>6 [5,4,7,6,1,8,2,3]=>[4,5,2,3,8,1,7,6]=>[2,3,2,1]=>10100101=>6 [4,5,7,6,8,1,2,3]=>[5,4,2,3,1,8,7,6]=>[1,1,2,2,1,1]=>11101011=>4 [4,6,7,5,8,1,2,3]=>[5,3,2,4,1,8,7,6]=>[1,1,2,2,1,1]=>11101011=>4 [4,8,6,5,7,1,2,3]=>[5,1,3,4,2,8,7,6]=>[1,3,2,1,1]=>11001011=>4 [4,8,5,6,7,1,2,3]=>[5,1,4,3,2,8,7,6]=>[1,2,1,2,1,1]=>11011011=>4 [4,7,5,6,8,1,2,3]=>[5,2,4,3,1,8,7,6]=>[1,2,1,2,1,1]=>11011011=>4 [4,6,5,7,8,1,2,3]=>[5,3,4,2,1,8,7,6]=>[1,2,1,2,1,1]=>11011011=>4 [5,7,4,6,1,8,2,3]=>[4,2,5,3,8,1,7,6]=>[1,2,2,2,1]=>11010101=>6 [5,8,4,6,1,7,2,3]=>[4,1,5,3,8,2,7,6]=>[1,2,2,2,1]=>11010101=>6 [5,8,3,1,6,7,2,4]=>[4,1,6,8,3,2,7,5]=>[1,3,1,2,1]=>11001101=>4 [5,7,3,1,6,8,2,4]=>[4,2,6,8,3,1,7,5]=>[1,3,1,2,1]=>11001101=>4 [5,6,3,1,7,8,2,4]=>[4,3,6,8,2,1,7,5]=>[1,3,1,2,1]=>11001101=>4 [6,2,1,4,3,8,7,5]=>[3,7,8,5,6,1,2,4]=>[3,2,3]=>10010100=>5 [5,8,3,1,7,6,2,4]=>[4,1,6,8,2,3,7,5]=>[1,3,3,1]=>11001001=>4 [5,7,4,8,1,6,2,3]=>[4,2,5,1,8,3,7,6]=>[1,2,2,2,1]=>11010101=>6 [5,2,1,6,8,7,3,4]=>[4,7,8,3,1,2,6,5]=>[3,1,3,1]=>10011001=>4 [5,4,6,8,1,7,2,3]=>[4,5,3,1,8,2,7,6]=>[2,1,2,2,1]=>10110101=>6 [4,5,6,8,7,1,2,3]=>[5,4,3,1,2,8,7,6]=>[1,1,1,3,1,1]=>11110011=>2 [4,7,5,8,6,1,2,3]=>[5,2,4,1,3,8,7,6]=>[1,2,3,1,1]=>11010011=>4 [4,8,6,7,5,1,2,3]=>[5,1,3,2,4,8,7,6]=>[1,2,3,1,1]=>11010011=>4 [4,7,6,8,5,1,2,3]=>[5,2,3,1,4,8,7,6]=>[1,2,3,1,1]=>11010011=>4 [4,6,7,8,5,1,2,3]=>[5,3,2,1,4,8,7,6]=>[1,1,1,3,1,1]=>11110011=>2 [4,5,7,8,6,1,2,3]=>[5,4,2,1,3,8,7,6]=>[1,1,1,3,1,1]=>11110011=>2 [5,4,7,8,1,6,2,3]=>[4,5,2,1,8,3,7,6]=>[2,1,2,2,1]=>10110101=>6 [5,3,7,1,8,6,2,4]=>[4,6,2,8,1,3,7,5]=>[2,2,3,1]=>10101001=>6 [5,2,1,7,8,6,3,4]=>[4,7,8,2,1,3,6,5]=>[3,1,3,1]=>10011001=>4 [5,3,8,1,7,6,2,4]=>[4,6,1,8,2,3,7,5]=>[2,2,3,1]=>10101001=>6 [5,4,8,7,1,6,2,3]=>[4,5,1,2,8,3,7,6]=>[2,3,2,1]=>10100101=>6 [4,6,8,7,5,1,2,3]=>[5,3,1,2,4,8,7,6]=>[1,1,4,1,1]=>11100011=>2 [4,7,8,6,5,1,2,3]=>[5,2,1,3,4,8,7,6]=>[1,1,4,1,1]=>11100011=>2 [4,8,7,6,5,1,2,3]=>[5,1,2,3,4,8,7,6]=>[1,5,1,1]=>11000011=>2 [2,5,4,7,3,6,1,8]=>[7,4,5,2,6,3,8,1]=>[1,2,2,2,1]=>11010101=>6 [2,4,6,3,7,5,1,8]=>[7,5,3,6,2,4,8,1]=>[1,1,2,3,1]=>11101001=>4 [4,2,7,3,6,5,1,8]=>[5,7,2,6,3,4,8,1]=>[2,2,3,1]=>10101001=>6 [4,2,6,3,1,5,8,7]=>[5,7,3,6,8,4,1,2]=>[2,3,1,2]=>10100110=>5 [2,5,3,1,6,4,8,7]=>[7,4,6,8,3,5,1,2]=>[1,3,2,2]=>11001010=>5 [2,5,3,7,6,4,1,8]=>[7,4,6,2,3,5,8,1]=>[1,2,4,1]=>11010001=>4 [2,6,5,3,7,4,1,8]=>[7,3,4,6,2,5,8,1]=>[1,3,3,1]=>11001001=>4 [4,2,7,6,3,5,1,8]=>[5,7,2,3,6,4,8,1]=>[2,3,2,1]=>10100101=>6 [2,7,5,3,6,4,1,8]=>[7,2,4,6,3,5,8,1]=>[1,3,3,1]=>11001001=>4 [2,6,3,7,5,4,1,8]=>[7,3,6,2,4,5,8,1]=>[1,2,4,1]=>11010001=>4 [1,7,5,2,3,8,4,6]=>[8,2,4,7,6,1,5,3]=>[1,3,1,2,1]=>11001101=>4 [2,1,3,7,5,4,8,6]=>[7,8,6,2,4,5,1,3]=>[2,1,3,2]=>10110010=>5 [2,3,1,8,6,5,4,7]=>[7,6,8,1,3,4,5,2]=>[1,2,4,1]=>11010001=>4 [2,5,3,1,8,6,4,7]=>[7,4,6,8,1,3,5,2]=>[1,3,3,1]=>11001001=>4 [4,2,8,3,1,6,5,7]=>[5,7,1,6,8,3,4,2]=>[2,3,2,1]=>10100101=>6 [8,3,2,6,4,1,5,7]=>[1,6,7,3,5,8,4,2]=>[3,3,1,1]=>10010011=>4 [3,6,8,2,1,4,5,7]=>[6,3,1,7,8,5,4,2]=>[1,1,3,1,1,1]=>11100111=>2 [1,5,2,8,3,4,7,6]=>[8,4,7,1,6,5,2,3]=>[1,2,2,1,2]=>11010110=>5 [1,2,6,3,8,7,4,5]=>[8,7,3,6,1,2,5,4]=>[1,1,2,3,1]=>11101001=>4 [1,2,8,3,6,4,7,5]=>[8,7,1,6,3,5,2,4]=>[1,1,2,2,2]=>11101010=>5 [1,2,7,6,3,4,8,5]=>[8,7,2,3,6,5,1,4]=>[1,1,3,1,2]=>11100110=>3 [2,1,3,8,7,5,4,6]=>[7,8,6,1,2,4,5,3]=>[2,1,4,1]=>10110001=>4 [1,2,3,8,6,4,7,5]=>[8,7,6,1,3,5,2,4]=>[1,1,1,3,2]=>11110010=>3 [1,2,3,7,4,8,6,5]=>[8,7,6,2,5,1,3,4]=>[1,1,1,2,3]=>11110100=>3 [1,2,7,6,3,8,4,5]=>[8,7,2,3,6,1,5,4]=>[1,1,3,2,1]=>11100101=>4 [1,2,3,6,4,8,7,5]=>[8,7,6,3,5,1,2,4]=>[1,1,1,2,3]=>11110100=>3 [1,2,3,7,6,4,8,5]=>[8,7,6,2,3,5,1,4]=>[1,1,1,3,2]=>11110010=>3 [2,6,3,1,8,5,4,7]=>[7,3,6,8,1,4,5,2]=>[1,3,3,1]=>11001001=>4 [2,1,3,8,5,4,7,6]=>[7,8,6,1,4,5,2,3]=>[2,1,3,2]=>10110010=>5 [7,1,8,4,2,3,5,6]=>[2,8,1,5,7,6,4,3]=>[2,3,1,1,1]=>10100111=>4 [2,1,8,4,3,5,7,6]=>[7,8,1,5,6,4,2,3]=>[2,3,1,2]=>10100110=>5 [4,2,6,3,1,8,5,7]=>[5,7,3,6,8,1,4,2]=>[2,3,2,1]=>10100101=>6 [5,4,2,8,3,1,6,7]=>[4,5,7,1,6,8,3,2]=>[3,3,1,1]=>10010011=>4 [3,5,8,2,4,1,6,7]=>[6,4,1,7,5,8,3,2]=>[1,1,2,2,1,1]=>11101011=>4 [2,5,4,8,3,1,6,7]=>[7,4,5,1,6,8,3,2]=>[1,2,3,1,1]=>11010011=>4 [4,2,1,8,3,5,7,6]=>[5,7,8,1,6,4,2,3]=>[3,2,1,2]=>10010110=>5 [1,8,7,4,2,3,5,6]=>[8,1,2,5,7,6,4,3]=>[1,4,1,1,1]=>11000111=>2 [1,5,2,8,7,3,4,6]=>[8,4,7,1,2,6,5,3]=>[1,2,3,1,1]=>11010011=>4 [1,2,7,3,6,4,8,5]=>[8,7,2,6,3,5,1,4]=>[1,1,2,2,2]=>11101010=>5 [1,2,8,6,3,7,4,5]=>[8,7,1,3,6,2,5,4]=>[1,1,3,2,1]=>11100101=>4 [1,2,7,3,8,6,4,5]=>[8,7,2,6,1,3,5,4]=>[1,1,2,3,1]=>11101001=>4 [1,2,3,8,4,7,6,5]=>[8,7,6,1,5,2,3,4]=>[1,1,1,2,3]=>11110100=>3 [1,2,7,3,4,8,6,5]=>[8,7,2,6,5,1,3,4]=>[1,1,2,1,3]=>11101100=>3 [1,2,6,3,8,4,7,5]=>[8,7,3,6,1,5,2,4]=>[1,1,2,2,2]=>11101010=>5 [1,5,2,3,8,7,4,6]=>[8,4,7,6,1,2,5,3]=>[1,2,1,3,1]=>11011001=>4 [4,2,1,8,3,7,5,6]=>[5,7,8,1,6,2,4,3]=>[3,2,2,1]=>10010101=>6 [8,3,2,1,7,4,5,6]=>[1,6,7,8,2,5,4,3]=>[4,2,1,1]=>10001011=>4 [1,8,4,2,7,3,5,6]=>[8,1,5,7,2,6,4,3]=>[1,3,2,1,1]=>11001011=>4 [1,2,8,6,3,4,7,5]=>[8,7,1,3,6,5,2,4]=>[1,1,3,1,2]=>11100110=>3 [1,2,7,3,8,4,6,5]=>[8,7,2,6,1,5,3,4]=>[1,1,2,2,2]=>11101010=>5 [1,2,3,8,7,4,6,5]=>[8,7,6,1,2,5,3,4]=>[1,1,1,3,2]=>11110010=>3 [1,2,3,8,7,6,4,5]=>[8,7,6,1,2,3,5,4]=>[1,1,1,4,1]=>11110001=>2 [2,5,3,8,1,6,4,7]=>[7,4,6,1,8,3,5,2]=>[1,2,2,2,1]=>11010101=>6 [2,6,4,7,1,5,3,8]=>[7,3,5,2,8,4,6,1]=>[1,2,2,2,1]=>11010101=>6 [2,6,5,7,1,4,3,8]=>[7,3,4,2,8,5,6,1]=>[1,2,2,2,1]=>11010101=>6 [3,8,5,7,1,2,6,4]=>[6,1,4,2,8,7,3,5]=>[1,2,2,1,2]=>11010110=>5 [3,8,5,7,2,6,4,1]=>[6,1,4,2,7,3,5,8]=>[1,2,2,3]=>11010100=>5 [3,4,8,6,2,5,7,1]=>[6,5,1,3,7,4,2,8]=>[1,1,3,1,2]=>11100110=>3 [3,4,8,6,1,2,5,7]=>[6,5,1,3,8,7,4,2]=>[1,1,3,1,1,1]=>11100111=>2 [2,5,7,1,4,8,6,3]=>[7,4,2,8,5,1,3,6]=>[1,1,2,1,3]=>11101100=>3 [2,4,3,8,1,6,5,7]=>[7,5,6,1,8,3,4,2]=>[1,2,2,2,1]=>11010101=>6 [2,3,8,1,6,5,7,4]=>[7,6,1,8,3,4,2,5]=>[1,1,2,2,2]=>11101010=>5 [2,4,8,1,3,5,7,6]=>[7,5,1,8,6,4,2,3]=>[1,1,2,1,1,2]=>11101110=>3 [3,5,7,6,1,2,4,8]=>[6,4,2,3,8,7,5,1]=>[1,1,3,1,1,1]=>11100111=>2 [3,8,5,7,1,6,4,2]=>[6,1,4,2,8,3,5,7]=>[1,2,2,3]=>11010100=>5 [3,2,8,5,6,1,7,4]=>[6,7,1,4,3,8,2,5]=>[2,2,2,2]=>10101010=>7 [3,8,5,7,2,1,6,4]=>[6,1,4,2,7,8,3,5]=>[1,2,3,2]=>11010010=>5 [3,4,8,6,2,1,5,7]=>[6,5,1,3,7,8,4,2]=>[1,1,4,1,1]=>11100011=>2 [3,5,7,6,2,1,4,8]=>[6,4,2,3,7,8,5,1]=>[1,1,4,1,1]=>11100011=>2 [4,8,6,7,2,1,3,5]=>[5,1,3,2,7,8,6,4]=>[1,2,3,1,1]=>11010011=>4 [4,8,6,7,3,5,2,1]=>[5,1,3,2,6,4,7,8]=>[1,2,2,3]=>11010100=>5 [5,8,6,7,2,1,4,3]=>[4,1,3,2,7,8,5,6]=>[1,2,3,2]=>11010010=>5 [4,8,6,7,2,1,5,3]=>[5,1,3,2,7,8,4,6]=>[1,2,3,2]=>11010010=>5 [4,3,1,7,5,2,8,6]=>[5,6,8,2,4,7,1,3]=>[3,3,2]=>10010010=>5 [4,3,2,8,5,1,7,6]=>[5,6,7,1,4,8,2,3]=>[3,3,2]=>10010010=>5 [4,3,8,5,1,6,7,2]=>[5,6,1,4,8,3,2,7]=>[2,3,1,2]=>10100110=>5 [4,8,6,7,1,5,3,2]=>[5,1,3,2,8,4,6,7]=>[1,2,2,3]=>11010100=>5 [5,8,6,7,1,4,3,2]=>[4,1,3,2,8,5,6,7]=>[1,2,2,3]=>11010100=>5 [5,8,6,7,1,2,4,3]=>[4,1,3,2,8,7,5,6]=>[1,2,2,1,2]=>11010110=>5 [4,2,3,8,5,1,6,7]=>[5,7,6,1,4,8,3,2]=>[2,1,3,1,1]=>10110011=>4 [4,2,8,5,1,7,6,3]=>[5,7,1,4,8,2,3,6]=>[2,3,3]=>10100100=>5 [3,4,2,8,5,6,1,7]=>[6,5,7,1,4,3,8,2]=>[1,2,2,2,1]=>11010101=>6 [3,2,5,7,6,1,4,8]=>[6,7,4,2,3,8,5,1]=>[2,1,3,1,1]=>10110011=>4 [4,8,6,7,1,3,2,5]=>[5,1,3,2,8,6,7,4]=>[1,2,2,2,1]=>11010101=>6 [4,8,6,7,1,2,5,3]=>[5,1,3,2,8,7,4,6]=>[1,2,2,1,2]=>11010110=>5 [4,8,6,7,2,5,3,1]=>[5,1,3,2,7,4,6,8]=>[1,2,2,3]=>11010100=>5 [4,3,8,5,1,2,6,7]=>[5,6,1,4,8,7,3,2]=>[2,3,1,1,1]=>10100111=>4 [4,2,6,7,5,1,3,8]=>[5,7,3,2,4,8,6,1]=>[2,1,3,1,1]=>10110011=>4 [3,8,5,7,1,4,2,6]=>[6,1,4,2,8,5,7,3]=>[1,2,2,2,1]=>11010101=>6 [3,8,4,7,1,5,2,6]=>[6,1,5,2,8,4,7,3]=>[1,2,2,2,1]=>11010101=>6 [3,5,2,8,4,6,1,7]=>[6,4,7,1,5,3,8,2]=>[1,2,2,2,1]=>11010101=>6 [3,5,1,7,4,6,2,8]=>[6,4,8,2,5,3,7,1]=>[1,2,2,2,1]=>11010101=>6 [3,8,4,7,2,5,1,6]=>[6,1,5,2,7,4,8,3]=>[1,2,2,2,1]=>11010101=>6 [4,1,2,6,7,5,3,8]=>[5,8,7,3,2,4,6,1]=>[2,1,1,3,1]=>10111001=>4 [4,2,6,7,5,3,8,1]=>[5,7,3,2,4,6,1,8]=>[2,1,3,2]=>10110010=>5 [4,8,6,7,3,2,5,1]=>[5,1,3,2,6,7,4,8]=>[1,2,3,2]=>11010010=>5 [4,8,6,7,3,1,2,5]=>[5,1,3,2,6,8,7,4]=>[1,2,3,1,1]=>11010011=>4 [3,1,5,7,6,2,4,8]=>[6,8,4,2,3,7,5,1]=>[2,1,3,1,1]=>10110011=>4 [3,4,1,7,5,6,2,8]=>[6,5,8,2,4,3,7,1]=>[1,2,2,2,1]=>11010101=>6 [4,1,7,5,2,8,6,3]=>[5,8,2,4,7,1,3,6]=>[2,3,3]=>10100100=>5 [4,1,6,7,5,2,3,8]=>[5,8,3,2,4,7,6,1]=>[2,1,3,1,1]=>10110011=>4 [4,8,6,7,2,3,1,5]=>[5,1,3,2,7,6,8,4]=>[1,2,2,2,1]=>11010101=>6 [5,8,6,7,4,2,3,1]=>[4,1,3,2,5,7,6,8]=>[1,2,3,2]=>11010010=>5 [5,8,6,7,4,1,3,2]=>[4,1,3,2,5,8,6,7]=>[1,2,3,2]=>11010010=>5 [5,8,6,7,3,1,4,2]=>[4,1,3,2,6,8,5,7]=>[1,2,3,2]=>11010010=>5 [4,8,6,7,3,1,5,2]=>[5,1,3,2,6,8,4,7]=>[1,2,3,2]=>11010010=>5 [4,1,6,7,5,3,8,2]=>[5,8,3,2,4,6,1,7]=>[2,1,3,2]=>10110010=>5 [4,1,7,5,3,2,8,6]=>[5,8,2,4,6,7,1,3]=>[2,4,2]=>10100010=>5 [4,2,8,5,3,1,7,6]=>[5,7,1,4,6,8,2,3]=>[2,4,2]=>10100010=>5 [4,2,1,6,7,5,3,8]=>[5,7,8,3,2,4,6,1]=>[3,1,3,1]=>10011001=>4 [4,8,6,7,3,2,1,5]=>[5,1,3,2,6,7,8,4]=>[1,2,4,1]=>11010001=>4 [5,8,6,7,4,2,1,3]=>[4,1,3,2,5,7,8,6]=>[1,2,4,1]=>11010001=>4 [5,8,6,7,4,3,1,2]=>[4,1,3,2,5,6,8,7]=>[1,2,4,1]=>11010001=>4 [7,3,5,8,1,4,2,6]=>[2,6,4,1,8,5,7,3]=>[2,1,2,2,1]=>10110101=>6 [3,8,7,6,1,4,2,5]=>[6,1,2,3,8,5,7,4]=>[1,4,2,1]=>11000101=>4 [5,1,8,3,6,7,2,4]=>[4,8,1,6,3,2,7,5]=>[2,2,1,2,1]=>10101101=>6 [1,4,7,8,5,6,2,3]=>[8,5,2,1,4,3,7,6]=>[1,1,1,2,2,1]=>11110101=>4 [3,4,7,1,5,8,6,2]=>[6,5,2,8,4,1,3,7]=>[1,1,2,1,3]=>11101100=>3 [3,6,1,4,7,8,5,2]=>[6,3,8,5,2,1,4,7]=>[1,2,1,1,3]=>11011100=>3 [1,6,8,4,7,5,2,3]=>[8,3,1,5,2,4,7,6]=>[1,1,2,3,1]=>11101001=>4 [6,8,1,3,5,7,2,4]=>[3,1,8,6,4,2,7,5]=>[1,2,1,1,2,1]=>11011101=>4 [7,6,1,4,3,8,2,5]=>[2,3,8,5,6,1,7,4]=>[3,2,2,1]=>10010101=>6 [3,8,1,6,5,4,2,7]=>[6,1,8,3,4,5,7,2]=>[1,2,4,1]=>11010001=>4 [4,1,3,7,5,8,2,6]=>[5,8,6,2,4,1,7,3]=>[2,1,2,2,1]=>10110101=>6 [6,1,7,3,8,4,2,5]=>[3,8,2,6,1,5,7,4]=>[2,2,3,1]=>10101001=>6 [7,1,8,6,3,5,2,4]=>[2,8,1,3,6,4,7,5]=>[2,3,2,1]=>10100101=>6 [3,1,7,6,5,8,4,2]=>[6,8,2,3,4,1,5,7]=>[2,3,3]=>10100100=>5 [8,2,7,6,5,3,4,1]=>[1,7,2,3,4,6,5,8]=>[2,4,2]=>10100010=>5 [8,4,2,6,7,5,3,1]=>[1,5,7,3,2,4,6,8]=>[3,1,4]=>10011000=>3 [4,8,1,6,7,5,3,2]=>[5,1,8,3,2,4,6,7]=>[1,2,1,4]=>11011000=>3 [7,4,1,6,8,2,5,3]=>[2,5,8,3,1,7,4,6]=>[3,1,2,2]=>10011010=>5 [1,3,8,6,2,7,5,4]=>[8,6,1,3,7,2,4,5]=>[1,1,3,3]=>11100100=>3 [6,1,3,2,7,8,4,5]=>[3,8,6,7,2,1,5,4]=>[2,2,1,2,1]=>10101101=>6 [1,8,6,2,5,3,4,7]=>[8,1,3,7,4,6,5,2]=>[1,3,2,1,1]=>11001011=>4 [4,7,2,6,8,1,5,3]=>[5,2,7,3,1,8,4,6]=>[1,2,1,2,2]=>11011010=>5 [8,7,3,6,4,5,2,1]=>[1,2,6,3,5,4,7,8]=>[3,2,3]=>10010100=>5 [5,7,8,6,2,1,4,3]=>[4,2,1,3,7,8,5,6]=>[1,1,4,2]=>11100010=>3 [2,7,4,1,6,8,3,5]=>[7,2,5,8,3,1,6,4]=>[1,3,1,2,1]=>11001101=>4 [3,7,2,4,5,1,6,8]=>[6,2,7,5,4,8,3,1]=>[1,2,1,2,1,1]=>11011011=>4 [1,8,6,4,5,2,3,7]=>[8,1,3,5,4,7,6,2]=>[1,3,2,1,1]=>11001011=>4 [2,8,4,6,5,1,3,7]=>[7,1,5,3,4,8,6,2]=>[1,2,3,1,1]=>11010011=>4 [3,4,1,7,5,2,6,8]=>[6,5,8,2,4,7,3,1]=>[1,2,3,1,1]=>11010011=>4 [7,5,8,6,1,2,4,3]=>[2,4,1,3,8,7,5,6]=>[2,3,1,2]=>10100110=>5 [5,6,8,7,3,1,4,2]=>[4,3,1,2,6,8,5,7]=>[1,1,4,2]=>11100010=>3 [2,5,4,3,6,8,1,7]=>[7,4,5,6,3,1,8,2]=>[1,3,1,2,1]=>11001101=>4 [3,8,5,4,6,2,1,7]=>[6,1,4,5,3,7,8,2]=>[1,3,3,1]=>11001001=>4 [4,8,2,1,3,7,5,6]=>[5,1,7,8,6,2,4,3]=>[1,3,1,2,1]=>11001101=>4 [6,4,1,2,7,5,8,3]=>[3,5,8,7,2,4,1,6]=>[3,1,2,2]=>10011010=>5 [4,1,8,3,6,7,5,2]=>[5,8,1,6,3,2,4,7]=>[2,2,1,3]=>10101100=>5 [8,3,7,4,5,2,6,1]=>[1,6,2,5,4,7,3,8]=>[2,2,2,2]=>10101010=>7 [4,3,7,8,5,1,6,2]=>[5,6,2,1,4,8,3,7]=>[2,1,3,2]=>10110010=>5 [5,4,8,2,7,6,1,3]=>[4,5,1,7,2,3,8,6]=>[2,2,3,1]=>10101001=>6 [1,2,7,3,6,5,8,4]=>[8,7,2,6,3,4,1,5]=>[1,1,2,2,2]=>11101010=>5 [2,8,7,6,3,4,1,5]=>[7,1,2,3,6,5,8,4]=>[1,4,2,1]=>11000101=>4 [5,8,2,6,3,4,1,7]=>[4,1,7,3,6,5,8,2]=>[1,2,2,2,1]=>11010101=>6 [4,1,7,5,8,6,2,3]=>[5,8,2,4,1,3,7,6]=>[2,2,3,1]=>10101001=>6 [5,1,7,8,4,3,6,2]=>[4,8,2,1,5,6,3,7]=>[2,1,3,2]=>10110010=>5 [8,2,7,5,4,3,6,1]=>[1,7,2,4,5,6,3,8]=>[2,4,2]=>10100010=>5 [6,3,8,1,4,7,5,2]=>[3,6,1,8,5,2,4,7]=>[2,2,1,3]=>10101100=>5 [3,8,4,5,6,1,2,7]=>[6,1,5,4,3,8,7,2]=>[1,2,1,2,1,1]=>11011011=>4 [1,4,3,5,7,8,2,6]=>[8,5,6,4,2,1,7,3]=>[1,2,1,1,2,1]=>11011101=>4 [6,5,8,7,1,3,4,2]=>[3,4,1,2,8,6,5,7]=>[2,3,1,2]=>10100110=>5 [3,6,7,2,4,8,1,5]=>[6,3,2,7,5,1,8,4]=>[1,1,2,1,2,1]=>11101101=>4 [1,5,2,7,4,3,8,6]=>[8,4,7,2,5,6,1,3]=>[1,2,3,2]=>11010010=>5 [2,8,5,6,4,3,1,7]=>[7,1,4,3,5,6,8,2]=>[1,2,4,1]=>11010001=>4 [1,8,6,5,4,3,2,7]=>[8,1,3,4,5,6,7,2]=>[1,6,1]=>11000001=>2 [6,1,5,2,8,4,7,3]=>[3,8,4,7,1,5,2,6]=>[2,2,2,2]=>10101010=>7 [4,6,1,8,5,7,2,3]=>[5,3,8,1,4,2,7,6]=>[1,2,2,2,1]=>11010101=>6 [4,7,1,2,8,5,6,3]=>[5,2,8,7,1,4,3,6]=>[1,2,1,2,2]=>11011010=>5 [1,4,7,2,8,5,6,3]=>[8,5,2,7,1,4,3,6]=>[1,1,2,2,2]=>11101010=>5 [1,7,3,5,8,6,2,4]=>[8,2,6,4,1,3,7,5]=>[1,2,1,3,1]=>11011001=>4 [7,3,5,8,6,1,2,4]=>[2,6,4,1,3,8,7,5]=>[2,1,3,1,1]=>10110011=>4 [3,6,8,1,5,7,2,4]=>[6,3,1,8,4,2,7,5]=>[1,1,2,1,2,1]=>11101101=>4 [3,4,6,5,8,1,7,2]=>[6,5,3,4,1,8,2,7]=>[1,1,2,2,2]=>11101010=>5 [6,8,1,5,7,2,3,4]=>[3,1,8,4,2,7,6,5]=>[1,2,1,2,1,1]=>11011011=>4 [7,1,2,5,8,6,3,4]=>[2,8,7,4,1,3,6,5]=>[2,1,1,3,1]=>10111001=>4 [1,7,2,5,8,6,3,4]=>[8,2,7,4,1,3,6,5]=>[1,2,1,3,1]=>11011001=>4 [1,7,6,8,2,3,5,4]=>[8,2,3,1,7,6,4,5]=>[1,2,2,1,2]=>11010110=>5 [7,6,8,1,2,3,5,4]=>[2,3,1,8,7,6,4,5]=>[2,2,1,1,2]=>10101110=>5 [2,7,1,5,8,6,3,4]=>[7,2,8,4,1,3,6,5]=>[1,2,1,3,1]=>11011001=>4 [2,4,7,1,8,5,6,3]=>[7,5,2,8,1,4,3,6]=>[1,1,2,2,2]=>11101010=>5 [4,7,5,8,3,1,6,2]=>[5,2,4,1,6,8,3,7]=>[1,2,3,2]=>11010010=>5 [4,7,2,1,8,5,6,3]=>[5,2,7,8,1,4,3,6]=>[1,3,2,2]=>11001010=>5 [7,6,8,2,1,3,5,4]=>[2,3,1,7,8,6,4,5]=>[2,3,1,2]=>10100110=>5 [1,2,7,6,8,3,5,4]=>[8,7,2,3,1,6,4,5]=>[1,1,2,2,2]=>11101010=>5 [3,7,6,8,2,1,5,4]=>[6,2,3,1,7,8,4,5]=>[1,2,3,2]=>11010010=>5 [7,4,2,1,6,8,5,3]=>[2,5,7,8,3,1,4,6]=>[4,1,3]=>10001100=>3 [6,7,4,1,8,5,3,2]=>[3,2,5,8,1,4,6,7]=>[1,3,4]=>11001000=>3 [6,7,4,3,1,8,5,2]=>[3,2,5,6,8,1,4,7]=>[1,4,3]=>11000100=>3 [2,7,4,1,6,8,5,3]=>[7,2,5,8,3,1,4,6]=>[1,3,1,3]=>11001100=>3 [2,3,7,6,8,1,5,4]=>[7,6,2,3,1,8,4,5]=>[1,1,2,2,2]=>11101010=>5 [7,4,2,6,8,5,1,3]=>[2,5,7,3,1,4,8,6]=>[3,1,3,1]=>10011001=>4 [7,3,2,5,8,6,1,4]=>[2,6,7,4,1,3,8,5]=>[3,1,3,1]=>10011001=>4 [3,1,7,6,8,2,5,4]=>[6,8,2,3,1,7,4,5]=>[2,2,2,2]=>10101010=>7 [3,7,6,8,1,2,5,4]=>[6,2,3,1,8,7,4,5]=>[1,2,2,1,2]=>11010110=>5 [1,3,7,6,8,2,5,4]=>[8,6,2,3,1,7,4,5]=>[1,1,2,2,2]=>11101010=>5 [1,7,4,2,6,8,5,3]=>[8,2,5,7,3,1,4,6]=>[1,3,1,3]=>11001100=>3 [7,4,1,2,6,8,5,3]=>[2,5,8,7,3,1,4,6]=>[3,1,1,3]=>10011100=>3 [7,1,4,2,8,5,6,3]=>[2,8,5,7,1,4,3,6]=>[2,2,2,2]=>10101010=>7 [7,1,8,2,5,4,6,3]=>[2,8,1,7,4,5,3,6]=>[2,2,2,2]=>10101010=>7 [7,3,8,4,6,1,5,2]=>[2,6,1,5,3,8,4,7]=>[2,2,2,2]=>10101010=>7 [7,2,8,1,6,4,5,3]=>[2,7,1,8,3,5,4,6]=>[2,2,2,2]=>10101010=>7 [7,1,6,8,5,4,2,3]=>[2,8,3,1,4,5,7,6]=>[2,1,4,1]=>10110001=>4 [7,1,2,6,8,5,4,3]=>[2,8,7,3,1,4,5,6]=>[2,1,1,4]=>10111000=>3 [1,7,2,6,8,5,4,3]=>[8,2,7,3,1,4,5,6]=>[1,2,1,4]=>11011000=>3 [1,7,6,8,3,2,5,4]=>[8,2,3,1,6,7,4,5]=>[1,2,3,2]=>11010010=>5 [7,6,8,3,1,2,5,4]=>[2,3,1,6,8,7,4,5]=>[2,3,1,2]=>10100110=>5 [7,1,5,8,6,3,2,4]=>[2,8,4,1,3,6,7,5]=>[2,1,4,1]=>10110001=>4 [7,2,5,8,6,3,1,4]=>[2,7,4,1,3,6,8,5]=>[2,1,4,1]=>10110001=>4 [3,6,7,1,8,5,4,2]=>[6,3,2,8,1,4,5,7]=>[1,1,2,4]=>11101000=>3 [7,2,6,8,5,4,1,3]=>[2,7,3,1,4,5,8,6]=>[2,1,4,1]=>10110001=>4 [7,6,8,2,3,1,5,4]=>[2,3,1,7,6,8,4,5]=>[2,2,2,2]=>10101010=>7 [2,7,6,8,3,1,5,4]=>[7,2,3,1,6,8,4,5]=>[1,2,3,2]=>11010010=>5 [2,7,1,6,8,5,4,3]=>[7,2,8,3,1,4,5,6]=>[1,2,1,4]=>11011000=>3 [6,7,3,1,8,5,4,2]=>[3,2,6,8,1,4,5,7]=>[1,3,4]=>11001000=>3 [6,7,1,8,5,4,3,2]=>[3,2,8,1,4,5,6,7]=>[1,2,5]=>11010000=>3 [7,2,1,6,8,5,4,3]=>[2,7,8,3,1,4,5,6]=>[3,1,4]=>10011000=>3 [7,6,8,3,2,1,5,4]=>[2,3,1,6,7,8,4,5]=>[2,4,2]=>10100010=>5 [4,7,8,5,6,1,3,2]=>[5,2,1,4,3,8,6,7]=>[1,1,2,2,2]=>11101010=>5 [4,6,5,8,7,1,3,2]=>[5,3,4,1,2,8,6,7]=>[1,2,3,2]=>11010010=>5 [5,6,4,8,1,2,7,3]=>[4,3,5,1,8,7,2,6]=>[1,2,2,1,2]=>11010110=>5 [8,1,5,6,7,2,4,3]=>[1,8,4,3,2,7,5,6]=>[2,1,1,2,2]=>10111010=>5 [6,4,5,1,8,2,7,3]=>[3,5,4,8,1,7,2,6]=>[2,2,2,2]=>10101010=>7 [5,4,6,7,1,2,8,3]=>[4,5,3,2,8,7,1,6]=>[2,1,2,1,2]=>10110110=>5 [4,3,6,7,2,1,5,8]=>[5,6,3,2,7,8,4,1]=>[2,1,3,1,1]=>10110011=>4 [5,3,6,7,1,4,2,8]=>[4,6,3,2,8,5,7,1]=>[2,1,2,2,1]=>10110101=>6 [8,1,4,6,7,3,2,5]=>[1,8,5,3,2,6,7,4]=>[2,1,1,3,1]=>10111001=>4 [8,1,3,6,7,4,5,2]=>[1,8,6,3,2,5,4,7]=>[2,1,1,2,2]=>10111010=>5 [7,2,1,6,8,4,5,3]=>[2,7,8,3,1,5,4,6]=>[3,1,2,2]=>10011010=>5 [5,2,6,7,1,4,8,3]=>[4,7,3,2,8,5,1,6]=>[2,1,2,1,2]=>10110110=>5 [4,2,6,7,3,1,8,5]=>[5,7,3,2,6,8,1,4]=>[2,1,3,2]=>10110010=>5 [6,2,4,1,5,8,7,3]=>[3,7,5,8,4,1,2,6]=>[2,2,1,3]=>10101100=>5 [7,2,1,5,4,8,6,3]=>[2,7,8,4,5,1,3,6]=>[3,2,3]=>10010100=>5 [8,1,4,5,3,7,2,6]=>[1,8,5,4,6,2,7,3]=>[2,1,2,2,1]=>10110101=>6 [7,3,1,5,4,8,2,6]=>[2,6,8,4,5,1,7,3]=>[3,2,2,1]=>10010101=>6 [6,3,4,1,5,8,2,7]=>[3,6,5,8,4,1,7,2]=>[2,2,1,2,1]=>10101101=>6 [5,3,4,2,1,8,6,7]=>[4,6,5,7,8,1,3,2]=>[2,3,2,1]=>10100101=>6 [4,3,5,2,7,1,6,8]=>[5,6,4,7,2,8,3,1]=>[2,2,2,1,1]=>10101011=>6 [5,6,3,8,1,4,2,7]=>[4,3,6,1,8,5,7,2]=>[1,2,2,2,1]=>11010101=>6 [8,1,7,2,4,5,6,3]=>[1,8,2,7,5,4,3,6]=>[2,2,1,1,2]=>10101110=>5 [7,6,1,2,4,5,8,3]=>[2,3,8,7,5,4,1,6]=>[3,1,1,1,2]=>10011110=>3 [4,7,8,2,3,1,6,5]=>[5,2,1,7,6,8,3,4]=>[1,1,2,2,2]=>11101010=>5 [5,6,2,8,1,4,7,3]=>[4,3,7,1,8,5,2,6]=>[1,2,2,1,2]=>11010110=>5 [6,5,2,1,3,7,8,4]=>[3,4,7,8,6,2,1,5]=>[4,1,1,2]=>10001110=>3 [7,5,1,3,2,6,8,4]=>[2,4,8,6,7,3,1,5]=>[3,2,1,2]=>10010110=>5 [8,1,6,3,2,5,7,4]=>[1,8,3,6,7,4,2,5]=>[2,3,1,2]=>10100110=>5 [7,4,1,3,5,2,8,6]=>[2,5,8,6,4,7,1,3]=>[3,1,2,2]=>10011010=>5 [5,4,2,3,1,6,8,7]=>[4,5,7,6,8,3,1,2]=>[3,2,1,2]=>10010110=>5 [7,3,1,4,5,6,2,8]=>[2,6,8,5,4,3,7,1]=>[3,1,1,2,1]=>10011101=>4 [8,1,4,3,5,6,2,7]=>[1,8,5,6,4,3,7,2]=>[2,2,1,2,1]=>10101101=>6 [6,2,3,1,5,7,8,4]=>[3,7,6,8,4,2,1,5]=>[2,2,1,1,2]=>10101110=>5 [7,8,4,2,1,6,5,3]=>[2,1,5,7,8,3,4,6]=>[1,4,3]=>11000100=>3 [7,8,4,2,1,5,6,3]=>[2,1,5,7,8,4,3,6]=>[1,4,1,2]=>11000110=>3 [6,2,3,4,8,7,1,5]=>[3,7,6,5,1,2,8,4]=>[2,1,1,3,1]=>10111001=>4 [6,2,3,4,7,8,1,5]=>[3,7,6,5,2,1,8,4]=>[2,1,1,1,2,1]=>10111101=>4 [7,8,3,4,6,2,1,5]=>[2,1,6,5,3,7,8,4]=>[1,2,1,3,1]=>11011001=>4 [7,8,3,6,4,2,1,5]=>[2,1,6,3,5,7,8,4]=>[1,2,4,1]=>11010001=>4 [7,8,3,5,6,2,1,4]=>[2,1,6,4,3,7,8,5]=>[1,2,1,3,1]=>11011001=>4 [6,2,3,8,7,5,1,4]=>[3,7,6,1,2,4,8,5]=>[2,1,4,1]=>10110001=>4 [6,2,3,7,8,5,1,4]=>[3,7,6,2,1,4,8,5]=>[2,1,1,3,1]=>10111001=>4 [5,2,6,3,8,1,7,4]=>[4,7,3,6,1,8,2,5]=>[2,2,2,2]=>10101010=>7 [6,3,2,5,8,7,1,4]=>[3,6,7,4,1,2,8,5]=>[3,1,3,1]=>10011001=>4 [6,3,2,8,4,7,1,5]=>[3,6,7,1,5,2,8,4]=>[3,2,2,1]=>10010101=>6 [6,4,3,8,7,5,1,2]=>[3,5,6,1,2,4,8,7]=>[3,4,1]=>10010001=>4 [6,4,3,7,8,5,1,2]=>[3,5,6,2,1,4,8,7]=>[3,1,3,1]=>10011001=>4 [6,2,4,1,7,3,5,8]=>[3,7,5,8,2,6,4,1]=>[2,2,2,1,1]=>10101011=>6 [6,3,2,7,4,8,1,5]=>[3,6,7,2,5,1,8,4]=>[3,2,2,1]=>10010101=>6 [5,7,2,3,6,1,8,4]=>[4,2,7,6,3,8,1,5]=>[1,2,1,2,2]=>11011010=>5 [5,8,2,3,6,1,7,4]=>[4,1,7,6,3,8,2,5]=>[1,2,1,2,2]=>11011010=>5 [4,7,5,8,3,2,1,6]=>[5,2,4,1,6,7,8,3]=>[1,2,4,1]=>11010001=>4 [4,5,6,8,3,2,1,7]=>[5,4,3,1,6,7,8,2]=>[1,1,1,4,1]=>11110001=>2 [4,6,8,5,3,2,1,7]=>[5,3,1,4,6,7,8,2]=>[1,1,5,1]=>11100001=>2 [5,6,1,4,2,3,7,8]=>[4,3,8,5,7,6,2,1]=>[1,2,2,1,1,1]=>11010111=>4 [5,6,8,4,3,7,1,2]=>[4,3,1,5,6,2,8,7]=>[1,1,3,2,1]=>11100101=>4 [5,6,1,4,2,3,8,7]=>[4,3,8,5,7,6,1,2]=>[1,2,2,1,2]=>11010110=>5 [5,2,8,3,4,1,7,6]=>[4,7,1,6,5,8,2,3]=>[2,2,2,2]=>10101010=>7 [4,5,8,6,3,2,1,7]=>[5,4,1,3,6,7,8,2]=>[1,1,5,1]=>11100001=>2 [4,6,5,8,3,2,1,7]=>[5,3,4,1,6,7,8,2]=>[1,2,4,1]=>11010001=>4 [4,7,5,6,3,2,1,8]=>[5,2,4,3,6,7,8,1]=>[1,2,4,1]=>11010001=>4 [6,2,3,4,5,8,1,7]=>[3,7,6,5,4,1,8,2]=>[2,1,1,1,2,1]=>10111101=>4 [5,1,4,3,7,2,8,6]=>[4,8,5,6,2,7,1,3]=>[2,2,2,2]=>10101010=>7 [5,6,2,4,1,7,8,3]=>[4,3,7,5,8,2,1,6]=>[1,2,2,1,2]=>11010110=>5 [5,6,2,4,1,8,7,3]=>[4,3,7,5,8,1,2,6]=>[1,2,2,3]=>11010100=>5 [5,7,2,4,1,8,6,3]=>[4,2,7,5,8,1,3,6]=>[1,2,2,3]=>11010100=>5 [6,1,4,2,8,7,5,3]=>[3,8,5,7,1,2,4,6]=>[2,2,4]=>10101000=>5 [5,8,2,4,1,7,6,3]=>[4,1,7,5,8,2,3,6]=>[1,2,2,3]=>11010100=>5 [5,2,7,4,1,6,8,3]=>[4,7,2,5,8,3,1,6]=>[2,3,1,2]=>10100110=>5 [5,4,1,3,7,2,6,8]=>[4,5,8,6,2,7,3,1]=>[3,1,2,1,1]=>10011011=>4 [5,8,6,4,3,7,1,2]=>[4,1,3,5,6,2,8,7]=>[1,4,2,1]=>11000101=>4 [5,8,1,4,2,3,7,6]=>[4,1,8,5,7,6,2,3]=>[1,2,2,1,2]=>11010110=>5 [4,8,6,5,3,2,1,7]=>[5,1,3,4,6,7,8,2]=>[1,6,1]=>11000001=>2 [4,8,5,6,3,2,1,7]=>[5,1,4,3,6,7,8,2]=>[1,2,4,1]=>11010001=>4 [5,4,7,8,3,2,1,6]=>[4,5,2,1,6,7,8,3]=>[2,1,4,1]=>10110001=>4 [5,4,8,7,3,2,1,6]=>[4,5,1,2,6,7,8,3]=>[2,5,1]=>10100001=>4 [4,6,8,7,3,2,1,5]=>[5,3,1,2,6,7,8,4]=>[1,1,5,1]=>11100001=>2 [4,6,7,8,3,2,1,5]=>[5,3,2,1,6,7,8,4]=>[1,1,1,4,1]=>11110001=>2 [4,7,6,8,3,2,1,5]=>[5,2,3,1,6,7,8,4]=>[1,2,4,1]=>11010001=>4 [4,7,8,5,3,2,1,6]=>[5,2,1,4,6,7,8,3]=>[1,1,5,1]=>11100001=>2 [5,7,1,3,4,2,6,8]=>[4,2,8,6,5,7,3,1]=>[1,2,1,2,1,1]=>11011011=>4 [5,1,8,4,2,3,6,7]=>[4,8,1,5,7,6,3,2]=>[2,3,1,1,1]=>10100111=>4 [5,1,7,4,2,3,6,8]=>[4,8,2,5,7,6,3,1]=>[2,3,1,1,1]=>10100111=>4 [5,8,1,3,4,2,6,7]=>[4,1,8,6,5,7,3,2]=>[1,2,1,2,1,1]=>11011011=>4 [4,8,7,5,3,2,1,6]=>[5,1,2,4,6,7,8,3]=>[1,6,1]=>11000001=>2 [4,7,8,6,3,2,1,5]=>[5,2,1,3,6,7,8,4]=>[1,1,5,1]=>11100001=>2 [4,8,7,6,3,2,1,5]=>[5,1,2,3,6,7,8,4]=>[1,6,1]=>11000001=>2 [4,8,2,6,3,7,5,1]=>[5,1,7,3,6,2,4,8]=>[1,2,2,3]=>11010100=>5 [4,8,2,3,6,7,5,1]=>[5,1,7,6,3,2,4,8]=>[1,2,1,1,3]=>11011100=>3 [4,8,3,1,6,7,5,2]=>[5,1,6,8,3,2,4,7]=>[1,3,1,3]=>11001100=>3 [4,3,8,1,6,2,5,7]=>[5,6,1,8,3,7,4,2]=>[2,2,2,1,1]=>10101011=>6 [4,3,8,7,2,5,1,6]=>[5,6,1,2,7,4,8,3]=>[2,3,2,1]=>10100101=>6 [5,8,4,3,7,1,6,2]=>[4,1,5,6,2,8,3,7]=>[1,3,2,2]=>11001010=>5 [5,8,1,4,7,2,6,3]=>[4,1,8,5,2,7,3,6]=>[1,2,1,2,2]=>11011010=>5 [6,8,1,2,4,3,5,7]=>[3,1,8,7,5,6,4,2]=>[1,2,1,2,1,1]=>11011011=>4 [5,8,7,1,3,4,2,6]=>[4,1,2,8,6,5,7,3]=>[1,3,1,2,1]=>11001101=>4 [4,8,7,6,3,1,2,5]=>[5,1,2,3,6,8,7,4]=>[1,5,1,1]=>11000011=>2 [5,8,4,7,3,1,2,6]=>[4,1,5,2,6,8,7,3]=>[1,2,3,1,1]=>11010011=>4 [4,3,8,2,7,5,6,1]=>[5,6,1,7,2,4,3,8]=>[2,2,2,2]=>10101010=>7 [1,4,3,8,2,6,5,7]=>[8,5,6,1,7,3,4,2]=>[1,2,2,2,1]=>11010101=>6 [4,3,2,8,1,6,5,7]=>[5,6,7,1,8,3,4,2]=>[3,2,2,1]=>10010101=>6 [4,1,3,8,2,6,5,7]=>[5,8,6,1,7,3,4,2]=>[2,1,2,2,1]=>10110101=>6 [4,1,8,3,7,5,6,2]=>[5,8,1,6,2,4,3,7]=>[2,2,2,2]=>10101010=>7 [4,1,8,7,3,5,2,6]=>[5,8,1,2,6,4,7,3]=>[2,3,2,1]=>10100101=>6 [3,7,8,1,5,4,2,6]=>[6,2,1,8,4,5,7,3]=>[1,1,2,3,1]=>11101001=>4 [7,3,8,1,5,4,6,2]=>[2,6,1,8,4,5,3,7]=>[2,2,2,2]=>10101010=>7 [3,4,8,1,6,2,5,7]=>[6,5,1,8,3,7,4,2]=>[1,1,2,2,1,1]=>11101011=>4 [3,4,8,7,2,5,1,6]=>[6,5,1,2,7,4,8,3]=>[1,1,3,2,1]=>11100101=>4 [1,2,4,8,3,6,5,7]=>[8,7,5,1,6,3,4,2]=>[1,1,1,2,2,1]=>11110101=>4 [1,2,4,3,8,6,5,7]=>[8,7,5,6,1,3,4,2]=>[1,1,2,3,1]=>11101001=>4 [3,4,2,1,8,6,5,7]=>[6,5,7,8,1,3,4,2]=>[1,3,3,1]=>11001001=>4 [3,4,1,8,2,6,5,7]=>[6,5,8,1,7,3,4,2]=>[1,2,2,2,1]=>11010101=>6 [4,1,7,8,5,3,2,6]=>[5,8,2,1,4,6,7,3]=>[2,1,4,1]=>10110001=>4 [4,1,2,8,3,6,5,7]=>[5,8,7,1,6,3,4,2]=>[2,1,2,2,1]=>10110101=>6 [1,4,3,2,8,6,5,7]=>[8,5,6,7,1,3,4,2]=>[1,3,3,1]=>11001001=>4 [4,2,3,1,8,6,5,7]=>[5,7,6,8,1,3,4,2]=>[2,2,3,1]=>10101001=>6 [3,7,6,8,4,2,1,5]=>[6,2,3,1,5,7,8,4]=>[1,2,4,1]=>11010001=>4 [4,7,1,8,5,2,3,6]=>[5,2,8,1,4,7,6,3]=>[1,2,3,1,1]=>11010011=>4 [2,6,8,7,4,3,1,5]=>[7,3,1,2,5,6,8,4]=>[1,1,5,1]=>11100001=>2 [3,7,8,6,2,4,1,5]=>[6,2,1,3,7,5,8,4]=>[1,1,3,2,1]=>11100101=>4 [4,2,3,8,1,6,5,7]=>[5,7,6,1,8,3,4,2]=>[2,1,2,2,1]=>10110101=>6 [4,3,1,8,2,6,5,7]=>[5,6,8,1,7,3,4,2]=>[3,2,2,1]=>10010101=>6 [1,4,7,8,5,3,2,6]=>[8,5,2,1,4,6,7,3]=>[1,1,1,4,1]=>11110001=>2 [4,3,7,8,5,2,1,6]=>[5,6,2,1,4,7,8,3]=>[2,1,4,1]=>10110001=>4 [3,7,2,8,4,6,5,1]=>[6,2,7,1,5,3,4,8]=>[1,2,2,3]=>11010100=>5 [4,2,8,6,3,1,5,7]=>[5,7,1,3,6,8,4,2]=>[2,4,1,1]=>10100011=>4 [2,6,8,4,7,3,1,5]=>[7,3,1,5,2,6,8,4]=>[1,1,2,3,1]=>11101001=>4 [2,4,8,6,3,1,5,7]=>[7,5,1,3,6,8,4,2]=>[1,1,4,1,1]=>11100011=>2 [7,3,6,8,4,2,1,5]=>[2,6,3,1,5,7,8,4]=>[2,1,4,1]=>10110001=>4 [7,6,2,8,3,5,4,1]=>[2,3,7,1,6,4,5,8]=>[3,2,3]=>10010100=>5 [1,3,4,8,2,6,5,7]=>[8,6,5,1,7,3,4,2]=>[1,1,1,2,2,1]=>11110101=>4 [7,3,8,6,2,4,1,5]=>[2,6,1,3,7,5,8,4]=>[2,3,2,1]=>10100101=>6 [7,3,8,2,6,4,5,1]=>[2,6,1,7,3,5,4,8]=>[2,2,2,2]=>10101010=>7 [2,4,8,3,6,1,5,7]=>[7,5,1,6,3,8,4,2]=>[1,1,2,2,1,1]=>11101011=>4 [6,2,8,7,4,3,5,1]=>[3,7,1,2,5,6,4,8]=>[2,4,2]=>10100010=>5 [7,4,1,8,5,2,6,3]=>[2,5,8,1,4,7,3,6]=>[3,3,2]=>10010010=>5 [2,4,3,1,8,6,5,7]=>[7,5,6,8,1,3,4,2]=>[1,3,3,1]=>11001001=>4 [1,3,4,2,8,6,5,7]=>[8,6,5,7,1,3,4,2]=>[1,1,2,3,1]=>11101001=>4 [1,3,2,4,8,6,5,7]=>[8,6,7,5,1,3,4,2]=>[1,2,1,3,1]=>11011001=>4 [3,1,2,4,8,6,5,7]=>[6,8,7,5,1,3,4,2]=>[2,1,1,3,1]=>10111001=>4 [3,1,4,2,8,6,5,7]=>[6,8,5,7,1,3,4,2]=>[2,2,3,1]=>10101001=>6 [3,1,4,8,2,6,5,7]=>[6,8,5,1,7,3,4,2]=>[2,1,2,2,1]=>10110101=>6 [7,3,4,8,5,1,6,2]=>[2,6,5,1,4,8,3,7]=>[2,1,3,2]=>10110010=>5 [3,7,4,8,5,1,2,6]=>[6,2,5,1,4,8,7,3]=>[1,2,3,1,1]=>11010011=>4 [6,7,2,8,3,5,4,1]=>[3,2,7,1,6,4,5,8]=>[1,2,2,3]=>11010100=>5 [2,3,1,4,8,6,5,7]=>[7,6,8,5,1,3,4,2]=>[1,2,1,3,1]=>11011001=>4 [2,1,3,4,8,6,5,7]=>[7,8,6,5,1,3,4,2]=>[2,1,1,3,1]=>10111001=>4 [1,2,3,4,8,6,5,7]=>[8,7,6,5,1,3,4,2]=>[1,1,1,1,3,1]=>11111001=>2 [4,8,3,6,2,1,5,7]=>[5,1,6,3,7,8,4,2]=>[1,2,3,1,1]=>11010011=>4 [3,5,8,2,6,1,4,7]=>[6,4,1,7,3,8,5,2]=>[1,1,2,2,1,1]=>11101011=>4 [3,6,5,8,2,4,1,7]=>[6,3,4,1,7,5,8,2]=>[1,2,2,2,1]=>11010101=>6 [5,3,8,7,2,4,6,1]=>[4,6,1,2,7,5,3,8]=>[2,3,1,2]=>10100110=>5 [2,8,4,5,7,3,6,1]=>[7,1,5,4,2,6,3,8]=>[1,2,1,2,2]=>11011010=>5 [2,4,5,7,3,8,1,6]=>[7,5,4,2,6,1,8,3]=>[1,1,1,2,2,1]=>11110101=>4 [6,2,4,5,8,3,1,7]=>[3,7,5,4,1,6,8,2]=>[2,1,1,3,1]=>10111001=>4 [4,8,1,2,5,6,3,7]=>[5,1,8,7,4,3,6,2]=>[1,2,1,1,2,1]=>11011101=>4 [8,1,3,5,2,6,4,7]=>[1,8,6,4,7,3,5,2]=>[2,1,2,2,1]=>10110101=>6 [5,2,1,6,3,8,4,7]=>[4,7,8,3,6,1,5,2]=>[3,2,2,1]=>10010101=>6 [6,2,5,1,8,4,3,7]=>[3,7,4,8,1,5,6,2]=>[2,2,3,1]=>10101001=>6 [3,6,1,5,8,4,2,7]=>[6,3,8,4,1,5,7,2]=>[1,2,1,3,1]=>11011001=>4 [6,1,4,5,8,3,2,7]=>[3,8,5,4,1,6,7,2]=>[2,1,1,3,1]=>10111001=>4 [5,6,4,8,1,3,2,7]=>[4,3,5,1,8,6,7,2]=>[1,2,2,2,1]=>11010101=>6 [6,5,4,3,8,2,1,7]=>[3,4,5,6,1,7,8,2]=>[4,3,1]=>10001001=>4 [5,4,3,7,2,8,1,6]=>[4,5,6,2,7,1,8,3]=>[3,2,2,1]=>10010101=>6 [5,8,4,3,7,2,6,1]=>[4,1,5,6,2,7,3,8]=>[1,3,2,2]=>11001010=>5 [4,6,8,3,7,2,5,1]=>[5,3,1,6,2,7,4,8]=>[1,1,2,2,2]=>11101010=>5 [7,4,6,3,2,8,1,5]=>[2,5,3,6,7,1,8,4]=>[2,3,2,1]=>10100101=>6 [1,4,3,6,2,7,8,5]=>[8,5,6,3,7,2,1,4]=>[1,2,2,1,2]=>11010110=>5 [1,5,4,3,7,2,8,6]=>[8,4,5,6,2,7,1,3]=>[1,3,2,2]=>11001010=>5 [4,7,8,5,3,1,2,6]=>[5,2,1,4,6,8,7,3]=>[1,1,4,1,1]=>11100011=>2 [5,7,3,4,1,2,8,6]=>[4,2,6,5,8,7,1,3]=>[1,2,2,1,2]=>11010110=>5 [8,5,4,7,6,2,1,3]=>[1,4,5,2,3,7,8,6]=>[3,4,1]=>10010001=>4 [8,5,7,4,3,6,1,2]=>[1,4,2,5,6,3,8,7]=>[2,3,2,1]=>10100101=>6 [4,3,8,1,6,7,5,2]=>[5,6,1,8,3,2,4,7]=>[2,2,1,3]=>10101100=>5 [4,7,8,3,6,1,5,2]=>[5,2,1,6,3,8,4,7]=>[1,1,2,2,2]=>11101010=>5 [5,3,8,6,7,4,1,2]=>[4,6,1,3,2,5,8,7]=>[2,2,3,1]=>10101001=>6 [1,3,8,6,4,7,5,2]=>[8,6,1,3,5,2,4,7]=>[1,1,3,3]=>11100100=>3 [8,6,2,7,4,1,5,3]=>[1,3,7,2,5,8,4,6]=>[3,3,2]=>10010010=>5 [7,6,2,1,4,3,8,5]=>[2,3,7,8,5,6,1,4]=>[4,2,2]=>10001010=>5 [7,6,1,3,4,2,8,5]=>[2,3,8,6,5,7,1,4]=>[3,1,2,2]=>10011010=>5 [1,5,7,3,2,6,8,4]=>[8,4,2,6,7,3,1,5]=>[1,1,3,1,2]=>11100110=>3 [1,6,7,3,2,5,8,4]=>[8,3,2,6,7,4,1,5]=>[1,1,3,1,2]=>11100110=>3 [3,2,6,8,5,7,4,1]=>[6,7,3,1,4,2,5,8]=>[2,1,2,3]=>10110100=>5 [5,8,2,3,6,7,4,1]=>[4,1,7,6,3,2,5,8]=>[1,2,1,1,3]=>11011100=>3 [7,5,2,3,1,6,8,4]=>[2,4,7,6,8,3,1,5]=>[3,2,1,2]=>10010110=>5 [1,6,4,7,2,3,8,5]=>[8,3,5,2,7,6,1,4]=>[1,2,2,1,2]=>11010110=>5 [3,1,7,5,2,8,4,6]=>[6,8,2,4,7,1,5,3]=>[2,3,2,1]=>10100101=>6 [2,5,7,4,1,8,3,6]=>[7,4,2,5,8,1,6,3]=>[1,1,3,2,1]=>11100101=>4 [4,2,6,1,7,8,3,5]=>[5,7,3,8,2,1,6,4]=>[2,2,1,2,1]=>10101101=>6 [4,2,7,6,3,8,1,5]=>[5,7,2,3,6,1,8,4]=>[2,3,2,1]=>10100101=>6 [6,4,8,7,2,3,5,1]=>[3,5,1,2,7,6,4,8]=>[2,3,1,2]=>10100110=>5 [3,2,6,8,7,4,5,1]=>[6,7,3,1,2,5,4,8]=>[2,1,3,2]=>10110010=>5 [3,2,7,4,1,6,8,5]=>[6,7,2,5,8,3,1,4]=>[2,3,1,2]=>10100110=>5 [6,3,2,1,7,8,4,5]=>[3,6,7,8,2,1,5,4]=>[4,1,2,1]=>10001101=>4 [3,7,1,8,4,2,5,6]=>[6,2,8,1,5,7,4,3]=>[1,2,3,1,1]=>11010011=>4 [4,2,1,3,7,5,8,6]=>[5,7,8,6,2,4,1,3]=>[3,1,2,2]=>10011010=>5 [8,1,3,7,4,2,6,5]=>[1,8,6,2,5,7,3,4]=>[2,1,3,2]=>10110010=>5 [8,4,3,7,6,2,1,5]=>[1,5,6,2,3,7,8,4]=>[3,4,1]=>10010001=>4 [3,6,2,8,7,1,5,4]=>[6,3,7,1,2,8,4,5]=>[1,2,3,2]=>11010010=>5 [7,3,2,8,1,6,5,4]=>[2,6,7,1,8,3,4,5]=>[3,2,3]=>10010100=>5 [3,8,7,2,6,5,4,1]=>[6,1,2,7,3,4,5,8]=>[1,3,4]=>11001000=>3 [4,2,7,8,6,1,5,3]=>[5,7,2,1,3,8,4,6]=>[2,1,3,2]=>10110010=>5 [6,8,2,4,7,1,5,3]=>[3,1,7,5,2,8,4,6]=>[1,2,1,2,2]=>11011010=>5 [5,2,1,8,7,3,6,4]=>[4,7,8,1,2,6,3,5]=>[3,3,2]=>10010010=>5 [8,2,1,6,3,7,5,4]=>[1,7,8,3,6,2,4,5]=>[3,2,3]=>10010100=>5 [6,8,3,1,7,5,2,4]=>[3,1,6,8,2,4,7,5]=>[1,3,3,1]=>11001001=>4 [5,8,1,6,7,2,4,3]=>[4,1,8,3,2,7,5,6]=>[1,2,1,2,2]=>11011010=>5 [6,2,8,1,5,7,4,3]=>[3,7,1,8,4,2,5,6]=>[2,2,1,3]=>10101100=>5 [5,7,8,2,6,1,4,3]=>[4,2,1,7,3,8,5,6]=>[1,1,2,2,2]=>11101010=>5 [8,7,2,5,6,4,3,1]=>[1,2,7,4,3,5,6,8]=>[3,1,4]=>10011000=>3 [8,6,7,5,2,4,3,1]=>[1,3,2,4,7,5,6,8]=>[2,3,3]=>10100100=>5 [7,2,6,8,1,5,4,3]=>[2,7,3,1,8,4,5,6]=>[2,1,2,3]=>10110100=>5 [1,2,7,8,5,6,4,3]=>[8,7,2,1,4,3,5,6]=>[1,1,1,2,3]=>11110100=>3 [7,4,8,1,6,2,5,3]=>[2,5,1,8,3,7,4,6]=>[2,2,2,2]=>10101010=>7 [3,7,1,8,2,6,5,4]=>[6,2,8,1,7,3,4,5]=>[1,2,2,3]=>11010100=>5 [2,1,7,3,8,6,5,4]=>[7,8,2,6,1,3,4,5]=>[2,2,4]=>10101000=>5 [8,2,1,7,6,5,4,3]=>[1,7,8,2,3,4,5,6]=>[3,5]=>10010000=>3 [8,1,4,7,6,5,3,2]=>[1,8,5,2,3,4,6,7]=>[2,1,5]=>10110000=>3 [8,6,7,5,1,4,3,2]=>[1,3,2,4,8,5,6,7]=>[2,3,3]=>10100100=>5 [7,8,6,5,4,1,3,2]=>[2,1,3,4,5,8,6,7]=>[1,5,2]=>11000010=>3 [5,8,4,3,2,1,6,7]=>[4,1,5,6,7,8,3,2]=>[1,5,1,1]=>11000011=>2 [6,4,7,3,2,1,8,5]=>[3,5,2,6,7,8,1,4]=>[2,4,2]=>10100010=>5 [5,4,7,3,2,1,6,8]=>[4,5,2,6,7,8,3,1]=>[2,4,1,1]=>10100011=>4 [6,5,3,7,2,1,4,8]=>[3,4,6,2,7,8,5,1]=>[3,3,1,1]=>10010011=>4 [5,8,3,6,2,1,4,7]=>[4,1,6,3,7,8,5,2]=>[1,2,3,1,1]=>11010011=>4 [6,3,7,8,2,1,4,5]=>[3,6,2,1,7,8,5,4]=>[2,1,3,1,1]=>10110011=>4 [5,3,7,6,2,1,4,8]=>[4,6,2,3,7,8,5,1]=>[2,4,1,1]=>10100011=>4 [3,8,7,6,2,1,4,5]=>[6,1,2,3,7,8,5,4]=>[1,5,1,1]=>11000011=>2 [5,8,4,2,6,1,3,7]=>[4,1,5,7,3,8,6,2]=>[1,3,2,1,1]=>11001011=>4 [4,8,7,2,5,1,3,6]=>[5,1,2,7,4,8,6,3]=>[1,3,2,1,1]=>11001011=>4 [5,8,3,2,6,1,4,7]=>[4,1,6,7,3,8,5,2]=>[1,3,2,1,1]=>11001011=>4 [4,8,3,2,5,1,7,6]=>[5,1,6,7,4,8,2,3]=>[1,3,2,2]=>11001010=>5 [4,3,7,2,5,1,8,6]=>[5,6,2,7,4,8,1,3]=>[2,2,2,2]=>10101010=>7 [3,8,7,2,5,1,4,6]=>[6,1,2,7,4,8,5,3]=>[1,3,2,1,1]=>11001011=>4 [6,4,2,7,5,1,3,8]=>[3,5,7,2,4,8,6,1]=>[3,3,1,1]=>10010011=>4 [6,3,2,7,5,1,4,8]=>[3,6,7,2,4,8,5,1]=>[3,3,1,1]=>10010011=>4 [5,3,2,6,7,1,4,8]=>[4,6,7,3,2,8,5,1]=>[3,1,2,1,1]=>10011011=>4 [3,8,2,6,5,1,4,7]=>[6,1,7,3,4,8,5,2]=>[1,2,3,1,1]=>11010011=>4 [6,2,7,8,5,1,3,4]=>[3,7,2,1,4,8,6,5]=>[2,1,3,1,1]=>10110011=>4 [5,2,7,6,8,1,3,4]=>[4,7,2,3,1,8,6,5]=>[2,2,2,1,1]=>10101011=>6 [4,2,7,6,5,1,3,8]=>[5,7,2,3,4,8,6,1]=>[2,4,1,1]=>10100011=>4 [2,8,7,6,5,1,3,4]=>[7,1,2,3,4,8,6,5]=>[1,5,1,1]=>11000011=>2 [6,5,4,3,1,7,8,2]=>[3,4,5,6,8,2,1,7]=>[5,1,2]=>10000110=>3 [6,4,7,3,1,5,8,2]=>[3,5,2,6,8,4,1,7]=>[2,3,1,2]=>10100110=>5 [5,4,7,3,1,8,6,2]=>[4,5,2,6,8,1,3,7]=>[2,3,3]=>10100100=>5 [6,4,3,7,1,5,8,2]=>[3,5,6,2,8,4,1,7]=>[3,2,1,2]=>10010110=>5 [5,4,3,6,1,8,7,2]=>[4,5,6,3,8,1,2,7]=>[3,2,3]=>10010100=>5 [6,3,7,8,1,4,5,2]=>[3,6,2,1,8,5,4,7]=>[2,1,2,1,2]=>10110110=>5 [5,3,7,6,1,4,8,2]=>[4,6,2,3,8,5,1,7]=>[2,3,1,2]=>10100110=>5 [4,3,7,6,1,5,8,2]=>[5,6,2,3,8,4,1,7]=>[2,3,1,2]=>10100110=>5 [3,8,7,6,1,4,5,2]=>[6,1,2,3,8,5,4,7]=>[1,4,1,2]=>11000110=>3 [6,5,4,2,1,7,3,8]=>[3,4,5,7,8,2,6,1]=>[5,2,1]=>10000101=>4 [6,4,7,2,1,5,3,8]=>[3,5,2,7,8,4,6,1]=>[2,3,2,1]=>10100101=>6 [4,8,7,2,1,5,3,6]=>[5,1,2,7,8,4,6,3]=>[1,4,2,1]=>11000101=>4 [5,8,3,2,1,4,7,6]=>[4,1,6,7,8,5,2,3]=>[1,4,1,2]=>11000110=>3 [4,8,3,2,1,5,7,6]=>[5,1,6,7,8,4,2,3]=>[1,4,1,2]=>11000110=>3 [5,3,7,2,1,4,8,6]=>[4,6,2,7,8,5,1,3]=>[2,3,1,2]=>10100110=>5 [3,8,7,2,1,4,5,6]=>[6,1,2,7,8,5,4,3]=>[1,4,1,1,1]=>11000111=>2 [6,5,2,7,1,4,3,8]=>[3,4,7,2,8,5,6,1]=>[3,2,2,1]=>10010101=>6 [5,8,2,6,1,4,3,7]=>[4,1,7,3,8,5,6,2]=>[1,2,2,2,1]=>11010101=>6 [6,4,2,7,1,5,3,8]=>[3,5,7,2,8,4,6,1]=>[3,2,2,1]=>10010101=>6 [5,4,2,6,1,8,3,7]=>[4,5,7,3,8,1,6,2]=>[3,2,2,1]=>10010101=>6 [4,3,2,6,1,5,8,7]=>[5,6,7,3,8,4,1,2]=>[3,2,1,2]=>10010110=>5 [6,2,7,8,1,4,3,5]=>[3,7,2,1,8,5,6,4]=>[2,1,2,2,1]=>10110101=>6 [4,2,7,6,1,5,3,8]=>[5,7,2,3,8,4,6,1]=>[2,3,2,1]=>10100101=>6 [3,2,7,6,1,4,5,8]=>[6,7,2,3,8,5,4,1]=>[2,3,1,1,1]=>10100111=>4 [6,5,4,1,8,7,3,2]=>[3,4,5,8,1,2,6,7]=>[4,4]=>10001000=>3 [5,8,4,1,6,7,3,2]=>[4,1,5,8,3,2,6,7]=>[1,3,1,3]=>11001100=>3 [6,4,7,1,5,8,3,2]=>[3,5,2,8,4,1,6,7]=>[2,2,1,3]=>10101100=>5 [5,4,7,1,6,8,3,2]=>[4,5,2,8,3,1,6,7]=>[2,2,1,3]=>10101100=>5 [4,8,7,1,5,6,3,2]=>[5,1,2,8,4,3,6,7]=>[1,3,1,3]=>11001100=>3 [5,4,3,1,6,8,7,2]=>[4,5,6,8,3,1,2,7]=>[4,1,3]=>10001100=>3 [4,8,3,1,5,6,7,2]=>[5,1,6,8,4,3,2,7]=>[1,3,1,1,2]=>11001110=>3 [3,8,7,1,5,4,6,2]=>[6,1,2,8,4,5,3,7]=>[1,3,2,2]=>11001010=>5 [5,8,2,1,6,4,3,7]=>[4,1,7,8,3,5,6,2]=>[1,3,3,1]=>11001001=>4 [6,3,2,1,5,4,8,7]=>[3,6,7,8,4,5,1,2]=>[4,2,2]=>10001010=>5 [5,3,2,1,6,4,8,7]=>[4,6,7,8,3,5,1,2]=>[4,2,2]=>10001010=>5 [3,8,2,1,5,4,6,7]=>[6,1,7,8,4,5,3,2]=>[1,3,2,1,1]=>11001011=>4 [6,2,7,1,5,4,3,8]=>[3,7,2,8,4,5,6,1]=>[2,2,3,1]=>10101001=>6 [5,2,7,1,6,4,3,8]=>[4,7,2,8,3,5,6,1]=>[2,2,3,1]=>10101001=>6 [4,2,7,1,5,6,3,8]=>[5,7,2,8,4,3,6,1]=>[2,2,1,2,1]=>10101101=>6 [3,2,7,1,5,4,6,8]=>[6,7,2,8,4,5,3,1]=>[2,2,2,1,1]=>10101011=>6 [2,8,7,1,5,4,3,6]=>[7,1,2,8,4,5,6,3]=>[1,3,3,1]=>11001001=>4 [6,5,1,7,8,4,3,2]=>[3,4,8,2,1,5,6,7]=>[3,1,4]=>10011000=>3 [5,8,1,6,7,4,3,2]=>[4,1,8,3,2,5,6,7]=>[1,2,1,4]=>11011000=>3 [6,4,1,7,5,8,3,2]=>[3,5,8,2,4,1,6,7]=>[3,2,3]=>10010100=>5 [5,4,1,6,7,8,3,2]=>[4,5,8,3,2,1,6,7]=>[3,1,1,3]=>10011100=>3 [4,8,1,6,5,7,3,2]=>[5,1,8,3,4,2,6,7]=>[1,2,2,3]=>11010100=>5 [6,3,1,7,5,4,8,2]=>[3,6,8,2,4,5,1,7]=>[3,3,2]=>10010010=>5 [5,3,1,6,7,4,8,2]=>[4,6,8,3,2,5,1,7]=>[3,1,2,2]=>10011010=>5 [4,3,1,6,5,7,8,2]=>[5,6,8,3,4,2,1,7]=>[3,2,1,2]=>10010110=>5 [3,8,1,6,5,4,7,2]=>[6,1,8,3,4,5,2,7]=>[1,2,3,2]=>11010010=>5 [5,2,1,6,7,4,3,8]=>[4,7,8,3,2,5,6,1]=>[3,1,3,1]=>10011001=>4 [4,2,1,6,5,7,3,8]=>[5,7,8,3,4,2,6,1]=>[3,2,2,1]=>10010101=>6 [2,8,1,6,5,4,3,7]=>[7,1,8,3,4,5,6,2]=>[1,2,4,1]=>11010001=>4 [6,1,7,8,5,4,3,2]=>[3,8,2,1,4,5,6,7]=>[2,1,5]=>10110000=>3 [4,1,7,6,5,8,3,2]=>[5,8,2,3,4,1,6,7]=>[2,3,3]=>10100100=>5 [3,1,7,6,5,4,8,2]=>[6,8,2,3,4,5,1,7]=>[2,4,2]=>10100010=>5 [4,5,8,1,2,6,3,7]=>[5,4,1,8,7,3,6,2]=>[1,1,2,1,2,1]=>11101101=>4 [1,4,5,7,2,6,3,8]=>[8,5,4,2,7,3,6,1]=>[1,1,1,2,2,1]=>11110101=>4 [1,7,3,5,6,2,4,8]=>[8,2,6,4,3,7,5,1]=>[1,2,1,2,1,1]=>11011011=>4 [8,1,3,5,7,2,4,6]=>[1,8,6,4,2,7,5,3]=>[2,1,1,2,1,1]=>10111011=>4 [3,6,8,1,7,2,4,5]=>[6,3,1,8,2,7,5,4]=>[1,1,2,2,1,1]=>11101011=>4 [3,4,5,6,8,1,7,2]=>[6,5,4,3,1,8,2,7]=>[1,1,1,1,2,2]=>11111010=>3 [4,5,8,2,6,7,1,3]=>[5,4,1,7,3,2,8,6]=>[1,1,2,1,2,1]=>11101101=>4 [8,2,3,5,6,7,1,4]=>[1,7,6,4,3,2,8,5]=>[2,1,1,1,2,1]=>10111101=>4 [1,7,2,3,5,4,6,8]=>[8,2,7,6,4,5,3,1]=>[1,2,1,2,1,1]=>11011011=>4 [8,1,2,3,5,4,6,7]=>[1,8,7,6,4,5,3,2]=>[2,1,1,2,1,1]=>10111011=>4 [2,7,8,1,3,5,4,6]=>[7,2,1,8,6,4,5,3]=>[1,1,2,1,2,1]=>11101101=>4 [2,7,8,3,5,6,1,4]=>[7,2,1,6,4,3,8,5]=>[1,1,2,1,2,1]=>11101101=>4 [2,4,5,7,8,1,6,3]=>[7,5,4,2,1,8,3,6]=>[1,1,1,1,2,2]=>11111010=>3 [4,5,8,1,7,6,3,2]=>[5,4,1,8,2,3,6,7]=>[1,1,2,4]=>11101000=>3 [4,5,8,7,2,1,6,3]=>[5,4,1,2,7,8,3,6]=>[1,1,4,2]=>11100010=>3 [8,7,3,5,6,2,1,4]=>[1,2,6,4,3,7,8,5]=>[3,1,3,1]=>10011001=>4 [8,7,2,1,3,5,4,6]=>[1,2,7,8,6,4,5,3]=>[4,1,2,1]=>10001101=>4 [3,6,8,7,2,1,5,4]=>[6,3,1,2,7,8,4,5]=>[1,1,4,2]=>11100010=>3 [8,6,4,1,7,5,3,2]=>[1,3,5,8,2,4,6,7]=>[4,4]=>10001000=>3 [7,6,4,3,1,8,5,2]=>[2,3,5,6,8,1,4,7]=>[5,3]=>10000100=>3 [2,3,6,7,8,1,5,4]=>[7,6,3,2,1,8,4,5]=>[1,1,1,1,2,2]=>11111010=>3 [3,6,8,1,2,5,4,7]=>[6,3,1,8,7,4,5,2]=>[1,1,2,1,2,1]=>11101101=>4 [1,3,6,7,2,5,4,8]=>[8,6,3,2,7,4,5,1]=>[1,1,1,2,2,1]=>11110101=>4 [7,4,1,8,5,2,3,6]=>[2,5,8,1,4,7,6,3]=>[3,3,1,1]=>10010011=>4 [7,1,4,2,8,3,6,5]=>[2,8,5,7,1,6,3,4]=>[2,2,2,2]=>10101010=>7 [7,1,8,2,5,3,6,4]=>[2,8,1,7,4,6,3,5]=>[2,2,2,2]=>10101010=>7 [8,1,7,5,4,2,3,6]=>[1,8,2,4,5,7,6,3]=>[2,4,1,1]=>10100011=>4 [1,7,2,6,5,4,3,8]=>[8,2,7,3,4,5,6,1]=>[1,2,4,1]=>11010001=>4 [1,7,6,3,2,5,4,8]=>[8,2,3,6,7,4,5,1]=>[1,4,2,1]=>11000101=>4 [8,6,3,1,2,5,4,7]=>[1,3,6,8,7,4,5,2]=>[4,1,2,1]=>10001101=>4 [8,1,7,6,3,2,4,5]=>[1,8,2,3,6,7,5,4]=>[2,4,1,1]=>10100011=>4 [8,2,5,7,6,3,1,4]=>[1,7,4,2,3,6,8,5]=>[2,1,4,1]=>10110001=>4 [3,6,8,1,7,5,4,2]=>[6,3,1,8,2,4,5,7]=>[1,1,2,4]=>11101000=>3 [8,2,6,7,5,4,1,3]=>[1,7,3,2,4,5,8,6]=>[2,1,4,1]=>10110001=>4 [2,7,8,6,3,1,5,4]=>[7,2,1,3,6,8,4,5]=>[1,1,4,2]=>11100010=>3 [2,7,8,1,6,5,4,3]=>[7,2,1,8,3,4,5,6]=>[1,1,2,4]=>11101000=>3 [7,3,1,8,6,5,4,2]=>[2,6,8,1,3,4,5,7]=>[3,5]=>10010000=>3 [8,7,2,1,6,5,4,3]=>[1,2,7,8,3,4,5,6]=>[4,4]=>10001000=>3 [8,7,6,3,2,1,5,4]=>[1,2,3,6,7,8,4,5]=>[6,2]=>10000010=>3 [2,1,8,6,3,7,4,5]=>[7,8,1,3,6,2,5,4]=>[2,3,2,1]=>10100101=>6 [8,6,1,5,2,7,4,3]=>[1,3,8,4,7,2,5,6]=>[3,2,3]=>10010100=>5 [8,5,1,7,4,2,6,3]=>[1,4,8,2,5,7,3,6]=>[3,3,2]=>10010010=>5 [2,1,7,5,4,3,8,6]=>[7,8,2,4,5,6,1,3]=>[2,4,2]=>10100010=>5 [2,1,8,4,5,3,6,7]=>[7,8,1,5,4,6,3,2]=>[2,2,2,1,1]=>10101011=>6 [2,1,7,8,3,6,5,4]=>[7,8,2,1,6,3,4,5]=>[2,1,2,3]=>10110100=>5 [2,1,8,5,7,6,3,4]=>[7,8,1,4,2,3,6,5]=>[2,2,3,1]=>10101001=>6 [2,1,4,8,5,7,3,6]=>[7,8,5,1,4,2,6,3]=>[2,1,2,2,1]=>10110101=>6 [2,1,5,4,6,8,3,7]=>[7,8,4,5,3,1,6,2]=>[2,2,1,2,1]=>10101101=>6 [8,5,3,1,6,2,4,7]=>[1,4,6,8,3,7,5,2]=>[4,2,1,1]=>10001011=>4 [7,5,1,4,6,8,3,2]=>[2,4,8,5,3,1,6,7]=>[3,1,1,3]=>10011100=>3 [6,4,1,5,2,3,8,7]=>[3,5,8,4,7,6,1,2]=>[3,2,1,2]=>10010110=>5 [8,3,7,5,2,6,1,4]=>[1,6,2,4,7,3,8,5]=>[2,3,2,1]=>10100101=>6 [5,3,7,4,6,8,1,2]=>[4,6,2,5,3,1,8,7]=>[2,2,1,2,1]=>10101101=>6 [5,8,3,7,6,2,1,4]=>[4,1,6,2,3,7,8,5]=>[1,2,4,1]=>11010001=>4 [5,2,4,8,6,3,1,7]=>[4,7,5,1,3,6,8,2]=>[2,1,4,1]=>10110001=>4 [4,2,6,3,8,5,1,7]=>[5,7,3,6,1,4,8,2]=>[2,2,3,1]=>10101001=>6 [4,6,3,2,7,8,1,5]=>[5,3,6,7,2,1,8,4]=>[1,3,1,2,1]=>11001101=>4 [3,6,8,7,5,4,1,2]=>[6,3,1,2,4,5,8,7]=>[1,1,5,1]=>11100001=>2 [8,5,2,7,4,6,1,3]=>[1,4,7,2,5,3,8,6]=>[3,2,2,1]=>10010101=>6 [5,8,2,1,7,6,4,3]=>[4,1,7,8,2,3,5,6]=>[1,3,4]=>11001000=>3 [6,3,8,1,5,7,4,2]=>[3,6,1,8,4,2,5,7]=>[2,2,1,3]=>10101100=>5 [8,3,2,4,1,7,5,6]=>[1,6,7,5,8,2,4,3]=>[3,2,2,1]=>10010101=>6 [7,4,2,3,1,8,6,5]=>[2,5,7,6,8,1,3,4]=>[3,2,3]=>10010100=>5 [7,2,4,3,1,5,8,6]=>[2,7,5,6,8,4,1,3]=>[2,3,1,2]=>10100110=>5 [7,8,3,1,5,4,6,2]=>[2,1,6,8,4,5,3,7]=>[1,3,2,2]=>11001010=>5 [7,2,8,1,4,6,5,3]=>[2,7,1,8,5,3,4,6]=>[2,2,1,3]=>10101100=>5 [6,2,3,1,4,5,8,7]=>[3,7,6,8,5,4,1,2]=>[2,2,1,1,2]=>10101110=>5 [5,6,1,4,3,2,8,7]=>[4,3,8,5,6,7,1,2]=>[1,2,3,2]=>11010010=>5 [5,7,1,8,3,6,2,4]=>[4,2,8,1,6,3,7,5]=>[1,2,2,2,1]=>11010101=>6 [6,8,1,4,5,3,2,7]=>[3,1,8,5,4,6,7,2]=>[1,2,1,3,1]=>11011001=>4 [6,7,1,5,4,3,8,2]=>[3,2,8,4,5,6,1,7]=>[1,2,3,2]=>11010010=>5 [8,7,5,1,3,4,2,6]=>[1,2,4,8,6,5,7,3]=>[4,1,2,1]=>10001101=>4 [6,5,7,1,3,8,2,4]=>[3,4,2,8,6,1,7,5]=>[2,2,1,2,1]=>10101101=>6 [8,2,6,1,4,7,3,5]=>[1,7,3,8,5,2,6,4]=>[2,2,1,2,1]=>10101101=>6 [5,8,1,6,3,7,4,2]=>[4,1,8,3,6,2,5,7]=>[1,2,2,3]=>11010100=>5 [8,3,5,6,1,7,4,2]=>[1,6,4,3,8,2,5,7]=>[2,1,2,3]=>10110100=>5 [7,5,4,8,2,1,3,6]=>[2,4,5,1,7,8,6,3]=>[3,3,1,1]=>10010011=>4 [7,3,6,5,4,1,8,2]=>[2,6,3,4,5,8,1,7]=>[2,4,2]=>10100010=>5 [8,3,6,4,5,1,2,7]=>[1,6,3,5,4,8,7,2]=>[2,2,2,1,1]=>10101011=>6 [7,3,5,8,1,6,2,4]=>[2,6,4,1,8,3,7,5]=>[2,1,2,2,1]=>10110101=>6 [6,3,5,4,1,2,8,7]=>[3,6,4,5,8,7,1,2]=>[2,3,1,2]=>10100110=>5 [2,6,3,5,1,4,8,7]=>[7,3,6,4,8,5,1,2]=>[1,2,2,1,2]=>11010110=>5 [2,7,8,5,1,6,4,3]=>[7,2,1,4,8,3,5,6]=>[1,1,3,3]=>11100100=>3 [8,7,3,6,5,1,4,2]=>[1,2,6,3,4,8,5,7]=>[3,3,2]=>10010010=>5 [2,8,3,4,6,1,5,7]=>[7,1,6,5,3,8,4,2]=>[1,2,1,2,1,1]=>11011011=>4 [2,7,4,3,6,1,8,5]=>[7,2,5,6,3,8,1,4]=>[1,3,2,2]=>11001010=>5 [3,4,7,2,8,1,5,6]=>[6,5,2,7,1,8,4,3]=>[1,1,2,2,1,1]=>11101011=>4 [4,3,2,5,7,1,8,6]=>[5,6,7,4,2,8,1,3]=>[3,1,2,2]=>10011010=>5 [4,2,3,5,8,1,6,7]=>[5,7,6,4,1,8,3,2]=>[2,1,1,2,1,1]=>10111011=>4 [3,2,8,4,7,1,6,5]=>[6,7,1,5,2,8,3,4]=>[2,2,2,2]=>10101010=>7 [8,2,4,7,5,1,6,3]=>[1,7,5,2,4,8,3,6]=>[2,1,3,2]=>10110010=>5 [3,8,4,7,1,6,5,2]=>[6,1,5,2,8,3,4,7]=>[1,2,2,3]=>11010100=>5 [3,2,4,6,1,5,8,7]=>[6,7,5,3,8,4,1,2]=>[2,1,2,1,2]=>10110110=>5 [8,3,4,5,7,6,1,2]=>[1,6,5,4,2,3,8,7]=>[2,1,1,3,1]=>10111001=>4 [2,8,4,6,5,7,1,3]=>[7,1,5,3,4,2,8,6]=>[1,2,2,2,1]=>11010101=>6 [2,3,8,4,6,7,1,5]=>[7,6,1,5,3,2,8,4]=>[1,1,2,1,2,1]=>11101101=>4 [2,4,3,5,8,7,1,6]=>[7,5,6,4,1,2,8,3]=>[1,2,1,3,1]=>11011001=>4 [3,2,4,5,6,8,1,7]=>[6,7,5,4,3,1,8,2]=>[2,1,1,1,2,1]=>10111101=>4 [5,6,8,1,4,2,7,3]=>[4,3,1,8,5,7,2,6]=>[1,1,2,2,2]=>11101010=>5 [1,5,7,8,4,6,2,3]=>[8,4,2,1,5,3,7,6]=>[1,1,1,2,2,1]=>11110101=>4 [1,3,5,7,8,6,2,4]=>[8,6,4,2,1,3,7,5]=>[1,1,1,1,3,1]=>11111001=>2 [3,5,7,8,6,1,2,4]=>[6,4,2,1,3,8,7,5]=>[1,1,1,3,1,1]=>11110011=>2 [3,5,1,6,8,2,7,4]=>[6,4,8,3,1,7,2,5]=>[1,2,1,2,2]=>11011010=>5 [3,1,5,6,8,2,7,4]=>[6,8,4,3,1,7,2,5]=>[2,1,1,2,2]=>10111010=>5 [2,3,5,6,8,1,7,4]=>[7,6,4,3,1,8,2,5]=>[1,1,1,1,2,2]=>11111010=>3 [5,6,4,8,2,1,7,3]=>[4,3,5,1,7,8,2,6]=>[1,2,3,2]=>11010010=>5 [5,1,6,3,8,4,7,2]=>[4,8,3,6,1,5,2,7]=>[2,2,2,2]=>10101010=>7 [2,5,1,6,8,3,7,4]=>[7,4,8,3,1,6,2,5]=>[1,2,1,2,2]=>11011010=>5 [5,1,2,6,8,3,7,4]=>[4,8,7,3,1,6,2,5]=>[2,1,1,2,2]=>10111010=>5 [5,7,1,8,6,2,3,4]=>[4,2,8,1,3,7,6,5]=>[1,2,3,1,1]=>11010011=>4 [1,5,2,7,8,6,3,4]=>[8,4,7,2,1,3,6,5]=>[1,2,1,3,1]=>11011001=>4 [1,6,7,5,2,8,3,4]=>[8,3,2,4,7,1,6,5]=>[1,1,3,2,1]=>11100101=>4 [6,1,7,5,2,8,3,4]=>[3,8,2,4,7,1,6,5]=>[2,3,2,1]=>10100101=>6 [2,6,7,5,1,8,3,4]=>[7,3,2,4,8,1,6,5]=>[1,1,3,2,1]=>11100101=>4 [5,7,2,8,6,1,3,4]=>[4,2,7,1,3,8,6,5]=>[1,2,3,1,1]=>11010011=>4 [3,5,7,8,6,2,1,4]=>[6,4,2,1,3,7,8,5]=>[1,1,1,4,1]=>11110001=>2 [5,1,7,8,6,3,4,2]=>[4,8,2,1,3,6,5,7]=>[2,1,3,2]=>10110010=>5 [5,1,3,7,8,6,4,2]=>[4,8,6,2,1,3,5,7]=>[2,1,1,4]=>10111000=>3 [5,2,7,8,4,6,1,3]=>[4,7,2,1,5,3,8,6]=>[2,1,2,2,1]=>10110101=>6 [3,2,5,7,8,6,1,4]=>[6,7,4,2,1,3,8,5]=>[2,1,1,3,1]=>10111001=>4 [6,2,7,5,1,8,3,4]=>[3,7,2,4,8,1,6,5]=>[2,3,2,1]=>10100101=>6 [1,2,6,7,5,8,3,4]=>[8,7,3,2,4,1,6,5]=>[1,1,1,2,2,1]=>11110101=>4 [6,2,7,5,4,1,8,3]=>[3,7,2,4,5,8,1,6]=>[2,4,2]=>10100010=>5 [6,7,5,2,4,1,8,3]=>[3,2,4,7,5,8,1,6]=>[1,3,2,2]=>11001010=>5 [6,7,2,5,3,8,1,4]=>[3,2,7,4,6,1,8,5]=>[1,2,2,2,1]=>11010101=>6 [6,7,4,5,2,1,8,3]=>[3,2,5,4,7,8,1,6]=>[1,2,3,2]=>11010010=>5 [5,1,7,8,6,4,3,2]=>[4,8,2,1,3,5,6,7]=>[2,1,5]=>10110000=>3 [2,5,7,8,6,3,1,4]=>[7,4,2,1,3,6,8,5]=>[1,1,1,4,1]=>11110001=>2 [5,1,7,8,6,3,2,4]=>[4,8,2,1,3,6,7,5]=>[2,1,4,1]=>10110001=>4 [6,3,7,5,1,8,2,4]=>[3,6,2,4,8,1,7,5]=>[2,3,2,1]=>10100101=>6 [1,6,7,5,3,8,2,4]=>[8,3,2,4,6,1,7,5]=>[1,1,3,2,1]=>11100101=>4 [1,6,7,5,4,2,8,3]=>[8,3,2,4,5,7,1,6]=>[1,1,4,2]=>11100010=>3 [6,7,5,1,4,2,8,3]=>[3,2,4,8,5,7,1,6]=>[1,3,2,2]=>11001010=>5 [5,7,8,6,4,1,2,3]=>[4,2,1,3,5,8,7,6]=>[1,1,4,1,1]=>11100011=>2 [4,1,7,2,6,5,8,3]=>[5,8,2,7,3,4,1,6]=>[2,2,2,2]=>10101010=>7 [2,4,7,1,5,6,8,3]=>[7,5,2,8,4,3,1,6]=>[1,1,2,1,1,2]=>11101110=>3 [6,7,4,1,5,2,8,3]=>[3,2,5,8,4,7,1,6]=>[1,3,2,2]=>11001010=>5 [1,6,7,4,5,2,8,3]=>[8,3,2,5,4,7,1,6]=>[1,1,2,2,2]=>11101010=>5 [1,6,3,7,5,8,2,4]=>[8,3,6,2,4,1,7,5]=>[1,2,2,2,1]=>11010101=>6 [6,3,1,7,5,8,2,4]=>[3,6,8,2,4,1,7,5]=>[3,2,2,1]=>10010101=>6 [2,5,3,7,8,6,1,4]=>[7,4,6,2,1,3,8,5]=>[1,2,1,3,1]=>11011001=>4 [6,7,5,4,2,1,8,3]=>[3,2,4,5,7,8,1,6]=>[1,5,2]=>11000010=>3 [6,3,2,7,5,8,1,4]=>[3,6,7,2,4,1,8,5]=>[3,2,2,1]=>10010101=>6 [6,7,4,2,5,1,8,3]=>[3,2,5,7,4,8,1,6]=>[1,3,2,2]=>11001010=>5 [6,2,7,4,5,1,8,3]=>[3,7,2,5,4,8,1,6]=>[2,2,2,2]=>10101010=>7 [6,2,3,7,5,8,1,4]=>[3,7,6,2,4,1,8,5]=>[2,1,2,2,1]=>10110101=>6 [4,5,1,6,3,2,8,7]=>[5,4,8,3,6,7,1,2]=>[1,2,3,2]=>11010010=>5 [7,5,1,6,3,8,2,4]=>[2,4,8,3,6,1,7,5]=>[3,2,2,1]=>10010101=>6 [7,5,1,6,3,8,4,2]=>[2,4,8,3,6,1,5,7]=>[3,2,3]=>10010100=>5 [2,7,6,1,3,8,4,5]=>[7,2,3,8,6,1,5,4]=>[1,3,1,2,1]=>11001101=>4 [2,7,6,1,3,8,5,4]=>[7,2,3,8,6,1,4,5]=>[1,3,1,3]=>11001100=>3 [7,3,5,1,8,2,6,4]=>[2,6,4,8,1,7,3,5]=>[2,2,2,2]=>10101010=>7 [7,3,5,1,8,2,4,6]=>[2,6,4,8,1,7,5,3]=>[2,2,2,1,1]=>10101011=>6 [3,7,5,1,8,6,2,4]=>[6,2,4,8,1,3,7,5]=>[1,3,3,1]=>11001001=>4 [2,6,7,1,5,8,3,4]=>[7,3,2,8,4,1,6,5]=>[1,1,2,1,2,1]=>11101101=>4 [2,1,6,7,3,8,5,4]=>[7,8,3,2,6,1,4,5]=>[2,1,2,3]=>10110100=>5 [2,6,7,4,1,8,5,3]=>[7,3,2,5,8,1,4,6]=>[1,1,3,3]=>11100100=>3 [3,6,5,1,8,4,7,2]=>[6,3,4,8,1,5,2,7]=>[1,3,2,2]=>11001010=>5 [3,6,5,1,8,4,2,7]=>[6,3,4,8,1,5,7,2]=>[1,3,3,1]=>11001001=>4 [3,7,5,4,8,1,6,2]=>[6,2,4,5,1,8,3,7]=>[1,3,2,2]=>11001010=>5 [3,7,5,4,8,1,2,6]=>[6,2,4,5,1,8,7,3]=>[1,3,2,1,1]=>11001011=>4 [4,6,1,5,8,7,3,2]=>[5,3,8,4,1,2,6,7]=>[1,2,1,4]=>11011000=>3 [4,6,1,5,8,7,2,3]=>[5,3,8,4,1,2,7,6]=>[1,2,1,3,1]=>11011001=>4 [4,6,1,5,8,2,7,3]=>[5,3,8,4,1,7,2,6]=>[1,2,1,2,2]=>11011010=>5 [7,5,1,6,2,8,3,4]=>[2,4,8,3,7,1,6,5]=>[3,2,2,1]=>10010101=>6 [7,5,1,6,2,8,4,3]=>[2,4,8,3,7,1,5,6]=>[3,2,3]=>10010100=>5 [4,6,1,5,8,2,3,7]=>[5,3,8,4,1,7,6,2]=>[1,2,1,2,1,1]=>11011011=>4 [4,7,1,5,8,3,6,2]=>[5,2,8,4,1,6,3,7]=>[1,2,1,2,2]=>11011010=>5 [2,3,4,7,8,1,6,5]=>[7,6,5,2,1,8,3,4]=>[1,1,1,1,2,2]=>11111010=>3 [6,8,5,4,3,2,7,1]=>[3,1,4,5,6,7,2,8]=>[1,5,2]=>11000010=>3 [7,9,6,5,4,3,2,8,1]=>[3,1,4,5,6,7,8,2,9]=>[1,6,2]=>110000010=>3 [8,9,6,5,4,3,2,1,7]=>[2,1,4,5,6,7,8,9,3]=>[1,7,1]=>110000001=>2 [6,8,5,4,3,7,2,1]=>[3,1,4,5,6,2,7,8]=>[1,4,3]=>11000100=>3 [5,8,4,3,2,1,7,6]=>[4,1,5,6,7,8,2,3]=>[1,5,2]=>11000010=>3 [6,5,4,3,1,8,7,2]=>[3,4,5,6,8,1,2,7]=>[5,3]=>10000100=>3 [8,7,6,5,4,3,9,1,2]=>[2,3,4,5,6,7,1,9,8]=>[6,2,1]=>100000101=>4 [8,7,5,4,3,1,6,2]=>[1,2,4,5,6,8,3,7]=>[6,2]=>10000010=>3 [9,7,6,5,4,3,1,8,2]=>[1,3,4,5,6,7,9,2,8]=>[7,2]=>100000010=>3 [8,3,4,6,2,1,5,7]=>[1,6,5,3,7,8,4,2]=>[2,1,3,1,1]=>10110011=>4 [3,5,6,2,1,8,4,7]=>[6,4,3,7,8,1,5,2]=>[1,1,3,2,1]=>11100101=>4 [3,5,2,6,8,4,1,7]=>[6,4,7,3,1,5,8,2]=>[1,2,1,3,1]=>11011001=>4 [7,5,3,2,8,4,1,6]=>[2,4,6,7,1,5,8,3]=>[4,3,1]=>10001001=>4 [7,5,3,2,8,4,6,1]=>[2,4,6,7,1,5,3,8]=>[4,2,2]=>10001010=>5 [2,4,5,7,3,8,6,1]=>[7,5,4,2,6,1,3,8]=>[1,1,1,2,3]=>11110100=>3 [4,2,5,6,8,3,1,7]=>[5,7,4,3,1,6,8,2]=>[2,1,1,3,1]=>10111001=>4 [4,2,8,1,5,6,3,7]=>[5,7,1,8,4,3,6,2]=>[2,2,1,2,1]=>10101101=>6 [2,5,6,1,8,4,3,7]=>[7,4,3,8,1,5,6,2]=>[1,1,2,3,1]=>11101001=>4 [5,3,6,8,1,4,2,7]=>[4,6,3,1,8,5,7,2]=>[2,1,2,2,1]=>10110101=>6 [4,5,6,8,1,3,2,7]=>[5,4,3,1,8,6,7,2]=>[1,1,1,2,2,1]=>11110101=>4 [1,4,5,6,8,3,2,7]=>[8,5,4,3,1,6,7,2]=>[1,1,1,1,3,1]=>11111001=>2 [4,5,6,3,8,2,1,7]=>[5,4,3,6,1,7,8,2]=>[1,1,2,3,1]=>11101001=>4 [4,5,3,7,2,8,6,1]=>[5,4,6,2,7,1,3,8]=>[1,2,2,3]=>11010100=>5 [6,4,7,3,2,8,5,1]=>[3,5,2,6,7,1,4,8]=>[2,3,3]=>10100100=>5 [6,1,4,7,3,2,8,5]=>[3,8,5,2,6,7,1,4]=>[2,1,3,2]=>10110010=>5 [1,7,8,4,5,3,2,6]=>[8,2,1,5,4,6,7,3]=>[1,1,2,3,1]=>11101001=>4 [5,1,7,3,8,4,2,6]=>[4,8,2,6,1,5,7,3]=>[2,2,3,1]=>10101001=>6 [2,5,1,7,4,3,8,6]=>[7,4,8,2,5,6,1,3]=>[1,2,3,2]=>11010010=>5 [2,5,7,4,1,8,6,3]=>[7,4,2,5,8,1,3,6]=>[1,1,3,3]=>11100100=>3 [5,3,7,1,4,8,6,2]=>[4,6,2,8,5,1,3,7]=>[2,2,1,3]=>10101100=>5 [6,4,3,1,7,8,5,2]=>[3,5,6,8,2,1,4,7]=>[4,1,3]=>10001100=>3 [6,4,1,7,3,8,5,2]=>[3,5,8,2,6,1,4,7]=>[3,2,3]=>10010100=>5 [5,6,3,7,8,4,2,1]=>[4,3,6,2,1,5,7,8]=>[1,2,1,4]=>11011000=>3 [5,1,6,3,7,8,4,2]=>[4,8,3,6,2,1,5,7]=>[2,2,1,3]=>10101100=>5 [5,6,1,3,7,8,4,2]=>[4,3,8,6,2,1,5,7]=>[1,2,1,1,3]=>11011100=>3 [5,6,1,7,8,3,4,2]=>[4,3,8,2,1,6,5,7]=>[1,2,1,2,2]=>11011010=>5 [1,6,3,7,4,8,5,2]=>[8,3,6,2,5,1,4,7]=>[1,2,2,3]=>11010100=>5 [6,7,2,4,1,8,5,3]=>[3,2,7,5,8,1,4,6]=>[1,2,2,3]=>11010100=>5 [6,7,2,1,4,3,8,5]=>[3,2,7,8,5,6,1,4]=>[1,3,2,2]=>11001010=>5 [6,4,7,3,1,2,8,5]=>[3,5,2,6,8,7,1,4]=>[2,3,1,2]=>10100110=>5 [5,6,3,1,2,7,8,4]=>[4,3,6,8,7,2,1,5]=>[1,3,1,1,2]=>11001110=>3 [5,6,1,3,2,7,8,4]=>[4,3,8,6,7,2,1,5]=>[1,2,2,1,2]=>11010110=>5 [5,6,3,2,1,7,8,4]=>[4,3,6,7,8,2,1,5]=>[1,4,1,2]=>11000110=>3 [2,5,6,3,7,8,4,1]=>[7,4,3,6,2,1,5,8]=>[1,1,2,1,3]=>11101100=>3 [2,5,6,3,1,7,8,4]=>[7,4,3,6,8,2,1,5]=>[1,1,3,1,2]=>11100110=>3 [2,6,4,7,3,1,8,5]=>[7,3,5,2,6,8,1,4]=>[1,2,3,2]=>11010010=>5 [6,3,7,2,8,4,5,1]=>[3,6,2,7,1,5,4,8]=>[2,2,2,2]=>10101010=>7 [6,3,7,2,8,4,1,5]=>[3,6,2,7,1,5,8,4]=>[2,2,3,1]=>10101001=>6 [6,3,2,7,1,8,4,5]=>[3,6,7,2,8,1,5,4]=>[3,2,2,1]=>10010101=>6 [7,5,3,2,1,8,4,6]=>[2,4,6,7,8,1,5,3]=>[5,2,1]=>10000101=>4 [7,3,8,4,2,1,5,6]=>[2,6,1,5,7,8,4,3]=>[2,4,1,1]=>10100011=>4 [4,7,2,1,3,8,6,5]=>[5,2,7,8,6,1,3,4]=>[1,3,1,3]=>11001100=>3 [1,3,7,8,6,4,2,5]=>[8,6,2,1,3,5,7,4]=>[1,1,1,4,1]=>11110001=>2 [7,3,8,4,6,2,1,5]=>[2,6,1,5,3,7,8,4]=>[2,2,3,1]=>10101001=>6 [5,7,3,8,2,1,6,4]=>[4,2,6,1,7,8,3,5]=>[1,2,3,2]=>11010010=>5 [6,3,7,8,5,2,1,4]=>[3,6,2,1,4,7,8,5]=>[2,1,4,1]=>10110001=>4 [4,6,2,7,8,5,3,1]=>[5,3,7,2,1,4,6,8]=>[1,2,1,4]=>11011000=>3 [4,6,2,1,7,8,5,3]=>[5,3,7,8,2,1,4,6]=>[1,3,1,3]=>11001100=>3 [7,4,5,8,1,2,6,3]=>[2,5,4,1,8,7,3,6]=>[2,1,2,1,2]=>10110110=>5 [2,5,1,7,3,8,6,4]=>[7,4,8,2,6,1,3,5]=>[1,2,2,3]=>11010100=>5 [6,7,2,1,3,8,5,4]=>[3,2,7,8,6,1,4,5]=>[1,3,1,3]=>11001100=>3 [5,1,6,7,8,2,4,3]=>[4,8,3,2,1,7,5,6]=>[2,1,1,2,2]=>10111010=>5 [6,3,7,1,8,5,2,4]=>[3,6,2,8,1,4,7,5]=>[2,2,3,1]=>10101001=>6 [6,2,1,7,3,8,5,4]=>[3,7,8,2,6,1,4,5]=>[3,2,3]=>10010100=>5 [6,2,7,1,8,5,4,3]=>[3,7,2,8,1,4,5,6]=>[2,2,4]=>10101000=>5 [6,3,1,7,8,5,4,2]=>[3,6,8,2,1,4,5,7]=>[3,1,4]=>10011000=>3 [4,1,3,6,8,2,5,7]=>[5,8,6,3,1,7,4,2]=>[2,1,1,2,1,1]=>10111011=>4 [4,2,3,6,8,1,5,7]=>[5,7,6,3,1,8,4,2]=>[2,1,1,2,1,1]=>10111011=>4 [5,3,2,1,8,4,7,6]=>[4,6,7,8,1,5,2,3]=>[4,2,2]=>10001010=>5 [3,6,5,8,2,1,7,4]=>[6,3,4,1,7,8,2,5]=>[1,2,3,2]=>11010010=>5 [4,5,2,1,3,8,7,6]=>[5,4,7,8,6,1,2,3]=>[1,3,1,3]=>11001100=>3 [2,4,6,5,8,1,3,7]=>[7,5,3,4,1,8,6,2]=>[1,1,2,2,1,1]=>11101011=>4 [1,6,2,4,5,8,3,7]=>[8,3,7,5,4,1,6,2]=>[1,2,1,1,2,1]=>11011101=>4 [5,3,2,1,6,8,4,7]=>[4,6,7,8,3,1,5,2]=>[4,1,2,1]=>10001101=>4 [6,2,4,5,8,1,3,7]=>[3,7,5,4,1,8,6,2]=>[2,1,1,2,1,1]=>10111011=>4 [1,3,4,6,5,8,2,7]=>[8,6,5,3,4,1,7,2]=>[1,1,1,2,2,1]=>11110101=>4 [1,6,3,4,5,8,2,7]=>[8,3,6,5,4,1,7,2]=>[1,2,1,1,2,1]=>11011101=>4 [3,4,1,8,5,2,7,6]=>[6,5,8,1,4,7,2,3]=>[1,2,3,2]=>11010010=>5 [2,8,4,1,7,6,3,5]=>[7,1,5,8,2,3,6,4]=>[1,3,3,1]=>11001001=>4 [8,1,4,2,7,3,6,5]=>[1,8,5,7,2,6,3,4]=>[2,2,2,2]=>10101010=>7 [1,5,3,2,8,7,4,6]=>[8,4,6,7,1,2,5,3]=>[1,3,3,1]=>11001001=>4 [8,2,1,7,5,3,4,6]=>[1,7,8,2,4,6,5,3]=>[3,3,1,1]=>10010011=>4 [1,7,6,4,5,8,3,2]=>[8,2,3,5,4,1,6,7]=>[1,3,1,3]=>11001100=>3 [5,8,7,4,1,2,6,3]=>[4,1,2,5,8,7,3,6]=>[1,4,1,2]=>11000110=>3 [5,8,7,4,6,2,1,3]=>[4,1,2,5,3,7,8,6]=>[1,3,3,1]=>11001001=>4 [3,4,2,5,8,6,7,1]=>[6,5,7,4,1,3,2,8]=>[1,2,1,2,2]=>11011010=>5 [4,1,3,5,6,8,7,2]=>[5,8,6,4,3,1,2,7]=>[2,1,1,1,3]=>10111100=>3 [2,4,8,6,7,1,3,5]=>[7,5,1,3,2,8,6,4]=>[1,1,2,2,1,1]=>11101011=>4 [4,3,6,2,8,1,7,5]=>[5,6,3,7,1,8,2,4]=>[2,2,2,2]=>10101010=>7 [3,7,4,8,2,1,6,5]=>[6,2,5,1,7,8,3,4]=>[1,2,3,2]=>11010010=>5 [2,3,5,8,6,7,1,4]=>[7,6,4,1,3,2,8,5]=>[1,1,1,2,2,1]=>11110101=>4 [3,2,5,6,8,7,1,4]=>[6,7,4,3,1,2,8,5]=>[2,1,1,3,1]=>10111001=>4 [2,1,8,5,6,7,3,4]=>[7,8,1,4,3,2,6,5]=>[2,2,1,2,1]=>10101101=>6 [1,2,8,3,5,6,7,4]=>[8,7,1,6,4,3,2,5]=>[1,1,2,1,1,2]=>11101110=>3 [4,2,3,7,1,8,6,5]=>[5,7,6,2,8,1,3,4]=>[2,1,2,3]=>10110100=>5 [3,2,6,4,8,1,7,5]=>[6,7,3,5,1,8,2,4]=>[2,2,2,2]=>10101010=>7 [8,2,1,6,7,3,4,5]=>[1,7,8,3,2,6,5,4]=>[3,1,2,1,1]=>10011011=>4 [2,7,8,5,4,1,3,6]=>[7,2,1,4,5,8,6,3]=>[1,1,4,1,1]=>11100011=>2 [1,7,5,3,8,4,2,6]=>[8,2,4,6,1,5,7,3]=>[1,3,3,1]=>11001001=>4 [4,7,5,3,1,2,8,6]=>[5,2,4,6,8,7,1,3]=>[1,4,1,2]=>11000110=>3 [7,2,4,8,5,3,1,6]=>[2,7,5,1,4,6,8,3]=>[2,1,4,1]=>10110001=>4 [4,8,3,1,2,7,6,5]=>[5,1,6,8,7,2,3,4]=>[1,3,1,3]=>11001100=>3 [3,5,2,7,4,1,8,6]=>[6,4,7,2,5,8,1,3]=>[1,2,3,2]=>11010010=>5 [8,4,2,3,7,1,5,6]=>[1,5,7,6,2,8,4,3]=>[3,1,2,1,1]=>10011011=>4 [2,8,4,7,1,3,5,6]=>[7,1,5,2,8,6,4,3]=>[1,2,2,1,1,1]=>11010111=>4 [8,2,4,6,7,1,3,5]=>[1,7,5,3,2,8,6,4]=>[2,1,1,2,1,1]=>10111011=>4 [4,8,2,3,6,7,1,5]=>[5,1,7,6,3,2,8,4]=>[1,2,1,1,2,1]=>11011101=>4 [3,5,2,7,6,1,8,4]=>[6,4,7,2,3,8,1,5]=>[1,2,3,2]=>11010010=>5 [1,6,3,2,5,8,7,4]=>[8,3,6,7,4,1,2,5]=>[1,3,1,3]=>11001100=>3 [5,8,3,2,1,6,7,4]=>[4,1,6,7,8,3,2,5]=>[1,4,1,2]=>11000110=>3 [5,8,7,3,4,6,2,1]=>[4,1,2,6,5,3,7,8]=>[1,3,1,3]=>11001100=>3 [5,8,2,7,4,1,6,3]=>[4,1,7,2,5,8,3,6]=>[1,2,3,2]=>11010010=>5 [5,1,4,2,8,7,6,3]=>[4,8,5,7,1,2,3,6]=>[2,2,4]=>10101000=>5 [4,7,6,5,8,2,1,3]=>[5,2,3,4,1,7,8,6]=>[1,3,3,1]=>11001001=>4 [5,3,7,1,6,2,8,4]=>[4,6,2,8,3,7,1,5]=>[2,2,2,2]=>10101010=>7 [5,2,6,8,7,1,3,4]=>[4,7,3,1,2,8,6,5]=>[2,1,3,1,1]=>10110011=>4 [6,3,2,1,8,5,7,4]=>[3,6,7,8,1,4,2,5]=>[4,2,2]=>10001010=>5 [2,7,5,4,1,8,6,3]=>[7,2,4,5,8,1,3,6]=>[1,4,3]=>11000100=>3 [4,2,5,6,8,7,1,3]=>[5,7,4,3,1,2,8,6]=>[2,1,1,3,1]=>10111001=>4 [1,8,4,2,5,6,7,3]=>[8,1,5,7,4,3,2,6]=>[1,3,1,1,2]=>11001110=>3 [3,8,4,1,5,6,7,2]=>[6,1,5,8,4,3,2,7]=>[1,3,1,1,2]=>11001110=>3 [4,2,8,5,6,7,1,3]=>[5,7,1,4,3,2,8,6]=>[2,2,1,2,1]=>10101101=>6 [5,2,4,7,1,8,6,3]=>[4,7,5,2,8,1,3,6]=>[2,1,2,3]=>10110100=>5 [5,3,4,7,1,8,6,2]=>[4,6,5,2,8,1,3,7]=>[2,1,2,3]=>10110100=>5 [8,6,4,1,3,2,5,7]=>[1,3,5,8,6,7,4,2]=>[4,2,1,1]=>10001011=>4 [8,1,3,6,5,2,4,7]=>[1,8,6,3,4,7,5,2]=>[2,1,3,1,1]=>10110011=>4 [8,1,4,3,6,5,2,7]=>[1,8,5,6,3,4,7,2]=>[2,2,3,1]=>10101001=>6 [3,6,5,2,1,8,7,4]=>[6,3,4,7,8,1,2,5]=>[1,4,3]=>11000100=>3 [8,3,2,4,6,5,1,7]=>[1,6,7,5,3,4,8,2]=>[3,1,3,1]=>10011001=>4 [8,4,2,1,6,5,3,7]=>[1,5,7,8,3,4,6,2]=>[4,3,1]=>10001001=>4 [8,4,1,2,6,5,3,7]=>[1,5,8,7,3,4,6,2]=>[3,1,3,1]=>10011001=>4 [8,6,4,2,1,5,3,7]=>[1,3,5,7,8,4,6,2]=>[5,2,1]=>10000101=>4 [8,3,6,4,1,5,2,7]=>[1,6,3,5,8,4,7,2]=>[2,3,2,1]=>10100101=>6 [8,2,6,3,4,5,1,7]=>[1,7,3,6,5,4,8,2]=>[2,2,1,2,1]=>10101101=>6 [1,3,4,8,5,7,2,6]=>[8,6,5,1,4,2,7,3]=>[1,1,1,2,2,1]=>11110101=>4 [5,8,4,7,6,2,3,1]=>[4,1,5,2,3,7,6,8]=>[1,2,3,2]=>11010010=>5 [1,3,4,7,5,8,2,6]=>[8,6,5,2,4,1,7,3]=>[1,1,1,2,2,1]=>11110101=>4 [1,3,5,2,4,8,7,6]=>[8,6,4,7,5,1,2,3]=>[1,1,2,1,3]=>11101100=>3 [2,6,5,1,3,8,7,4]=>[7,3,4,8,6,1,2,5]=>[1,3,1,3]=>11001100=>3 [4,7,1,6,5,8,3,2]=>[5,2,8,3,4,1,6,7]=>[1,2,2,3]=>11010100=>5 [5,4,8,7,6,3,1,2]=>[4,5,1,2,3,6,8,7]=>[2,5,1]=>10100001=>4 [2,8,5,1,4,7,6,3]=>[7,1,4,8,5,2,3,6]=>[1,3,1,3]=>11001100=>3 [4,3,1,5,8,6,7,2]=>[5,6,8,4,1,3,2,7]=>[3,1,2,2]=>10011010=>5 [4,1,3,5,8,6,7,2]=>[5,8,6,4,1,3,2,7]=>[2,1,1,2,2]=>10111010=>5 [6,5,3,8,4,7,1,2]=>[3,4,6,1,5,2,8,7]=>[3,2,2,1]=>10010101=>6 [5,4,2,1,6,8,7,3]=>[4,5,7,8,3,1,2,6]=>[4,1,3]=>10001100=>3 [6,8,4,3,2,7,1,5]=>[3,1,5,6,7,2,8,4]=>[1,4,2,1]=>11000101=>4 [3,4,7,8,2,1,6,5]=>[6,5,2,1,7,8,3,4]=>[1,1,1,3,2]=>11110010=>3 [5,1,3,2,8,6,7,4]=>[4,8,6,7,1,3,2,5]=>[2,2,2,2]=>10101010=>7 [5,3,1,2,8,6,7,4]=>[4,6,8,7,1,3,2,5]=>[3,1,2,2]=>10011010=>5 [5,2,3,1,6,8,7,4]=>[4,7,6,8,3,1,2,5]=>[2,2,1,3]=>10101100=>5 [5,3,2,1,8,6,7,4]=>[4,6,7,8,1,3,2,5]=>[4,2,2]=>10001010=>5 [5,2,1,3,6,8,7,4]=>[4,7,8,6,3,1,2,5]=>[3,1,1,3]=>10011100=>3 [2,4,7,3,8,1,6,5]=>[7,5,2,6,1,8,3,4]=>[1,1,2,2,2]=>11101010=>5 [6,3,8,2,7,4,1,5]=>[3,6,1,7,2,5,8,4]=>[2,2,3,1]=>10101001=>6 [8,2,1,3,6,4,7,5]=>[1,7,8,6,3,5,2,4]=>[3,1,2,2]=>10011010=>5 [3,5,1,7,8,4,2,6]=>[6,4,8,2,1,5,7,3]=>[1,2,1,3,1]=>11011001=>4 [2,7,4,5,8,3,1,6]=>[7,2,5,4,1,6,8,3]=>[1,2,1,3,1]=>11011001=>4 [1,8,4,3,7,2,6,5]=>[8,1,5,6,2,7,3,4]=>[1,3,2,2]=>11001010=>5 [3,4,8,7,2,1,6,5]=>[6,5,1,2,7,8,3,4]=>[1,1,4,2]=>11100010=>3 [5,4,7,8,3,6,2,1]=>[4,5,2,1,6,3,7,8]=>[2,1,2,3]=>10110100=>5 [6,4,3,8,7,2,1,5]=>[3,5,6,1,2,7,8,4]=>[3,4,1]=>10010001=>4 [6,3,8,7,4,1,2,5]=>[3,6,1,2,5,8,7,4]=>[2,4,1,1]=>10100011=>4 [3,5,7,2,4,8,1,6]=>[6,4,2,7,5,1,8,3]=>[1,1,2,1,2,1]=>11101101=>4 [8,4,7,2,3,1,5,6]=>[1,5,2,7,6,8,4,3]=>[2,2,2,1,1]=>10101011=>6 [8,4,7,1,3,2,5,6]=>[1,5,2,8,6,7,4,3]=>[2,2,2,1,1]=>10101011=>6 [8,4,7,2,1,3,5,6]=>[1,5,2,7,8,6,4,3]=>[2,3,1,1,1]=>10100111=>4 [8,6,4,2,1,3,7,5]=>[1,3,5,7,8,6,2,4]=>[5,1,2]=>10000110=>3 [8,6,4,1,3,2,7,5]=>[1,3,5,8,6,7,2,4]=>[4,2,2]=>10001010=>5 [8,6,4,2,3,1,7,5]=>[1,3,5,7,6,8,2,4]=>[4,2,2]=>10001010=>5 [3,5,7,2,6,1,8,4]=>[6,4,2,7,3,8,1,5]=>[1,1,2,2,2]=>11101010=>5 [6,1,3,8,5,7,2,4]=>[3,8,6,1,4,2,7,5]=>[2,1,2,2,1]=>10110101=>6 [5,8,3,2,6,7,1,4]=>[4,1,6,7,3,2,8,5]=>[1,3,1,2,1]=>11001101=>4 [4,8,5,3,6,2,7,1]=>[5,1,4,6,3,7,2,8]=>[1,3,2,2]=>11001010=>5 [2,8,1,5,4,7,6,3]=>[7,1,8,4,5,2,3,6]=>[1,2,2,3]=>11010100=>5 [1,5,8,7,4,6,2,3]=>[8,4,1,2,5,3,7,6]=>[1,1,3,2,1]=>11100101=>4 [2,1,7,6,4,5,8,3]=>[7,8,2,3,5,4,1,6]=>[2,3,1,2]=>10100110=>5 [1,7,2,4,6,5,8,3]=>[8,2,7,5,3,4,1,6]=>[1,2,1,2,2]=>11011010=>5 [3,5,1,7,6,8,2,4]=>[6,4,8,2,3,1,7,5]=>[1,2,2,2,1]=>11010101=>6 [5,8,2,6,1,3,7,4]=>[4,1,7,3,8,6,2,5]=>[1,2,2,1,2]=>11010110=>5 [6,3,5,8,7,2,1,4]=>[3,6,4,1,2,7,8,5]=>[2,1,4,1]=>10110001=>4 [2,5,7,8,4,1,6,3]=>[7,4,2,1,5,8,3,6]=>[1,1,1,3,2]=>11110010=>3 [4,2,8,1,5,6,7,3]=>[5,7,1,8,4,3,2,6]=>[2,2,1,1,2]=>10101110=>5 [4,1,5,2,6,8,7,3]=>[5,8,4,7,3,1,2,6]=>[2,2,1,3]=>10101100=>5 [3,4,5,1,6,8,7,2]=>[6,5,4,8,3,1,2,7]=>[1,1,2,1,3]=>11101100=>3 [4,2,8,5,1,6,7,3]=>[5,7,1,4,8,3,2,6]=>[2,3,1,2]=>10100110=>5 [4,1,8,5,2,6,7,3]=>[5,8,1,4,7,3,2,6]=>[2,3,1,2]=>10100110=>5 [2,7,1,8,5,4,6,3]=>[7,2,8,1,4,5,3,6]=>[1,2,3,2]=>11010010=>5 [5,8,6,2,1,3,7,4]=>[4,1,3,7,8,6,2,5]=>[1,4,1,2]=>11000110=>3 [8,2,4,1,5,6,7,3]=>[1,7,5,8,4,3,2,6]=>[2,2,1,1,2]=>10101110=>5 [4,6,3,5,8,1,7,2]=>[5,3,6,4,1,8,2,7]=>[1,2,1,2,2]=>11011010=>5 [1,7,8,3,5,4,6,2]=>[8,2,1,6,4,5,3,7]=>[1,1,2,2,2]=>11101010=>5 [3,4,5,1,8,6,7,2]=>[6,5,4,8,1,3,2,7]=>[1,1,2,2,2]=>11101010=>5 [3,8,1,4,5,6,7,2]=>[6,1,8,5,4,3,2,7]=>[1,2,1,1,1,2]=>11011110=>3 [3,4,5,6,8,2,1,7]=>[6,5,4,3,1,7,8,2]=>[1,1,1,1,3,1]=>11111001=>2 [3,4,5,7,1,8,6,2]=>[6,5,4,2,8,1,3,7]=>[1,1,1,2,3]=>11110100=>3 [3,4,5,7,8,2,6,1]=>[6,5,4,2,1,7,3,8]=>[1,1,1,1,2,2]=>11111010=>3 [3,4,6,2,8,5,1,7]=>[6,5,3,7,1,4,8,2]=>[1,1,2,3,1]=>11101001=>4 [3,4,6,8,1,5,2,7]=>[6,5,3,1,8,4,7,2]=>[1,1,1,2,2,1]=>11110101=>4 [3,4,7,2,1,8,6,5]=>[6,5,2,7,8,1,3,4]=>[1,1,3,3]=>11100100=>3 [3,4,8,2,1,5,6,7]=>[6,5,1,7,8,4,3,2]=>[1,1,3,1,1,1]=>11100111=>2 [3,5,2,6,7,8,1,4]=>[6,4,7,3,2,1,8,5]=>[1,2,1,1,2,1]=>11011101=>4 [3,5,2,7,8,4,6,1]=>[6,4,7,2,1,5,3,8]=>[1,2,1,2,2]=>11011010=>5 [3,5,2,8,4,1,6,7]=>[6,4,7,1,5,8,3,2]=>[1,2,3,1,1]=>11010011=>4 [3,5,6,2,8,4,1,7]=>[6,4,3,7,1,5,8,2]=>[1,1,2,3,1]=>11101001=>4 [3,5,6,8,4,1,2,7]=>[6,4,3,1,5,8,7,2]=>[1,1,1,3,1,1]=>11110011=>2 [3,5,7,2,4,8,6,1]=>[6,4,2,7,5,1,3,8]=>[1,1,2,1,3]=>11101100=>3 [3,5,7,2,8,4,6,1]=>[6,4,2,7,1,5,3,8]=>[1,1,2,2,2]=>11101010=>5 [3,5,7,8,4,1,6,2]=>[6,4,2,1,5,8,3,7]=>[1,1,1,3,2]=>11110010=>3 [3,6,2,1,7,8,5,4]=>[6,3,7,8,2,1,4,5]=>[1,3,1,3]=>11001100=>3 [3,6,2,1,8,5,4,7]=>[6,3,7,8,1,4,5,2]=>[1,3,3,1]=>11001001=>4 [3,6,7,2,4,8,5,1]=>[6,3,2,7,5,1,4,8]=>[1,1,2,1,3]=>11101100=>3 [3,6,7,2,8,5,4,1]=>[6,3,2,7,1,4,5,8]=>[1,1,2,4]=>11101000=>3 [3,6,7,8,4,5,1,2]=>[6,3,2,1,5,4,8,7]=>[1,1,1,2,2,1]=>11110101=>4 [3,6,8,2,4,5,1,7]=>[6,3,1,7,5,4,8,2]=>[1,1,2,1,2,1]=>11101101=>4 [3,7,2,1,4,8,6,5]=>[6,2,7,8,5,1,3,4]=>[1,3,1,3]=>11001100=>3 [3,7,2,1,8,5,6,4]=>[6,2,7,8,1,4,3,5]=>[1,3,2,2]=>11001010=>5 [3,7,2,8,4,5,6,1]=>[6,2,7,1,5,4,3,8]=>[1,2,2,1,2]=>11010110=>5 [3,7,8,2,4,5,6,1]=>[6,2,1,7,5,4,3,8]=>[1,1,2,1,1,2]=>11101110=>3 [3,8,2,1,4,5,6,7]=>[6,1,7,8,5,4,3,2]=>[1,3,1,1,1,1]=>11001111=>2 [4,1,5,6,7,8,3,2]=>[5,8,4,3,2,1,6,7]=>[2,1,1,1,3]=>10111100=>3 [4,1,5,7,3,8,6,2]=>[5,8,4,2,6,1,3,7]=>[2,1,2,3]=>10110100=>5 [4,1,6,3,7,8,5,2]=>[5,8,3,6,2,1,4,7]=>[2,2,1,3]=>10101100=>5 [4,1,6,3,8,5,2,7]=>[5,8,3,6,1,4,7,2]=>[2,2,3,1]=>10101001=>6 [4,1,6,7,3,8,5,2]=>[5,8,3,2,6,1,4,7]=>[2,1,2,3]=>10110100=>5 [4,1,6,7,8,5,2,3]=>[5,8,3,2,1,4,7,6]=>[2,1,1,3,1]=>10111001=>4 [4,1,6,8,3,5,2,7]=>[5,8,3,1,6,4,7,2]=>[2,1,2,2,1]=>10110101=>6 [4,1,7,3,2,8,6,5]=>[5,8,2,6,7,1,3,4]=>[2,3,3]=>10100100=>5 [4,1,7,8,3,5,6,2]=>[5,8,2,1,6,4,3,7]=>[2,1,2,1,2]=>10110110=>5 [4,1,8,3,2,5,6,7]=>[5,8,1,6,7,4,3,2]=>[2,3,1,1,1]=>10100111=>4 [4,5,2,6,7,8,3,1]=>[5,4,7,3,2,1,6,8]=>[1,2,1,1,3]=>11011100=>3 [4,5,2,6,8,1,3,7]=>[5,4,7,3,1,8,6,2]=>[1,2,1,2,1,1]=>11011011=>4 [4,5,6,3,8,1,2,7]=>[5,4,3,6,1,8,7,2]=>[1,1,2,2,1,1]=>11101011=>4 [4,5,6,8,3,1,2,7]=>[5,4,3,1,6,8,7,2]=>[1,1,1,3,1,1]=>11110011=>2 [4,5,7,3,8,1,6,2]=>[5,4,2,6,1,8,3,7]=>[1,1,2,2,2]=>11101010=>5 [4,5,8,3,2,1,6,7]=>[5,4,1,6,7,8,3,2]=>[1,1,4,1,1]=>11100011=>2 [4,6,2,3,7,8,5,1]=>[5,3,7,6,2,1,4,8]=>[1,2,1,1,3]=>11011100=>3 [4,6,2,3,8,5,1,7]=>[5,3,7,6,1,4,8,2]=>[1,2,1,3,1]=>11011001=>4 [4,6,2,7,3,8,5,1]=>[5,3,7,2,6,1,4,8]=>[1,2,2,3]=>11010100=>5 [4,6,2,7,8,5,1,3]=>[5,3,7,2,1,4,8,6]=>[1,2,1,3,1]=>11011001=>4 [4,6,7,3,2,8,5,1]=>[5,3,2,6,7,1,4,8]=>[1,1,3,3]=>11100100=>3 [4,6,8,3,2,5,1,7]=>[5,3,1,6,7,4,8,2]=>[1,1,3,2,1]=>11100101=>4 [4,7,2,3,1,8,6,5]=>[5,2,7,6,8,1,3,4]=>[1,2,2,3]=>11010100=>5 [4,7,2,8,3,5,6,1]=>[5,2,7,1,6,4,3,8]=>[1,2,2,1,2]=>11010110=>5 [4,7,8,3,2,5,6,1]=>[5,2,1,6,7,4,3,8]=>[1,1,3,1,2]=>11100110=>3 [4,8,2,3,1,5,6,7]=>[5,1,7,6,8,4,3,2]=>[1,2,2,1,1,1]=>11010111=>4 [5,1,2,6,8,4,3,7]=>[4,8,7,3,1,5,6,2]=>[2,1,1,3,1]=>10111001=>4 [5,1,2,7,4,8,6,3]=>[4,8,7,2,5,1,3,6]=>[2,1,2,3]=>10110100=>5 [5,1,2,7,8,4,6,3]=>[4,8,7,2,1,5,3,6]=>[2,1,1,2,2]=>10111010=>5 [5,1,2,8,4,3,6,7]=>[4,8,7,1,5,6,3,2]=>[2,1,3,1,1]=>10110011=>4 [5,1,6,3,8,4,2,7]=>[4,8,3,6,1,5,7,2]=>[2,2,3,1]=>10101001=>6 [5,1,6,7,4,8,2,3]=>[4,8,3,2,5,1,7,6]=>[2,1,2,2,1]=>10110101=>6 [5,1,6,7,8,4,2,3]=>[4,8,3,2,1,5,7,6]=>[2,1,1,3,1]=>10111001=>4 [5,1,8,3,4,2,6,7]=>[4,8,1,6,5,7,3,2]=>[2,2,2,1,1]=>10101011=>6 [5,6,2,3,8,4,1,7]=>[4,3,7,6,1,5,8,2]=>[1,2,1,3,1]=>11011001=>4 [5,6,2,7,8,4,1,3]=>[4,3,7,2,1,5,8,6]=>[1,2,1,3,1]=>11011001=>4 [5,6,8,3,4,2,1,7]=>[4,3,1,6,5,7,8,2]=>[1,1,2,3,1]=>11101001=>4 [5,7,2,3,4,8,6,1]=>[4,2,7,6,5,1,3,8]=>[1,2,1,1,3]=>11011100=>3 [5,7,8,3,4,2,6,1]=>[4,2,1,6,5,7,3,8]=>[1,1,2,2,2]=>11101010=>5 [5,8,2,3,4,1,6,7]=>[4,1,7,6,5,8,3,2]=>[1,2,1,2,1,1]=>11011011=>4 [6,1,2,3,7,8,5,4]=>[3,8,7,6,2,1,4,5]=>[2,1,1,1,3]=>10111100=>3 [6,1,2,3,8,5,4,7]=>[3,8,7,6,1,4,5,2]=>[2,1,1,3,1]=>10111001=>4 [6,1,2,7,8,5,4,3]=>[3,8,7,2,1,4,5,6]=>[2,1,1,4]=>10111000=>3 [6,1,2,8,4,5,3,7]=>[3,8,7,1,5,4,6,2]=>[2,1,2,2,1]=>10110101=>6 [6,1,7,3,4,8,5,2]=>[3,8,2,6,5,1,4,7]=>[2,2,1,3]=>10101100=>5 [6,1,7,3,8,5,4,2]=>[3,8,2,6,1,4,5,7]=>[2,2,4]=>10101000=>5 [6,1,7,8,4,5,3,2]=>[3,8,2,1,5,4,6,7]=>[2,1,2,3]=>10110100=>5 [6,1,8,3,4,5,2,7]=>[3,8,1,6,5,4,7,2]=>[2,2,1,2,1]=>10101101=>6 [6,7,2,3,8,5,4,1]=>[3,2,7,6,1,4,5,8]=>[1,2,1,4]=>11011000=>3 [6,7,2,8,4,5,3,1]=>[3,2,7,1,5,4,6,8]=>[1,2,2,3]=>11010100=>5 [6,8,2,3,4,5,1,7]=>[3,1,7,6,5,4,8,2]=>[1,2,1,1,2,1]=>11011101=>4 [7,1,2,3,4,8,6,5]=>[2,8,7,6,5,1,3,4]=>[2,1,1,1,3]=>10111100=>3 [7,1,2,8,4,5,6,3]=>[2,8,7,1,5,4,3,6]=>[2,1,2,1,2]=>10110110=>5 [7,1,8,3,4,5,6,2]=>[2,8,1,6,5,4,3,7]=>[2,2,1,1,2]=>10101110=>5 [6,4,1,8,2,3,7,5]=>[3,5,8,1,7,6,2,4]=>[3,2,1,2]=>10010110=>5 [5,8,1,2,4,3,7,6]=>[4,1,8,7,5,6,2,3]=>[1,2,1,2,2]=>11011010=>5 [1,3,5,7,2,6,4,8]=>[8,6,4,2,7,3,5,1]=>[1,1,1,2,2,1]=>11110101=>4 [3,5,8,6,1,2,4,7]=>[6,4,1,3,8,7,5,2]=>[1,1,3,1,1,1]=>11100111=>2 [3,1,6,8,2,4,7,5]=>[6,8,3,1,7,5,2,4]=>[2,1,2,1,2]=>10110110=>5 [3,6,2,8,1,5,7,4]=>[6,3,7,1,8,4,2,5]=>[1,2,2,1,2]=>11010110=>5 [2,6,1,3,8,4,7,5]=>[7,3,8,6,1,5,2,4]=>[1,2,1,2,2]=>11011010=>5 [1,7,5,2,3,4,6,8]=>[8,2,4,7,6,5,3,1]=>[1,3,1,1,1,1]=>11001111=>2 [2,7,5,1,3,8,4,6]=>[7,2,4,8,6,1,5,3]=>[1,3,1,2,1]=>11001101=>4 [8,2,5,7,4,6,1,3]=>[1,7,4,2,5,3,8,6]=>[2,1,2,2,1]=>10110101=>6 [8,2,1,3,7,6,4,5]=>[1,7,8,6,2,3,5,4]=>[3,1,3,1]=>10011001=>4 [8,2,5,1,3,7,4,6]=>[1,7,4,8,6,2,5,3]=>[2,2,1,2,1]=>10101101=>6 [8,2,7,5,3,1,6,4]=>[1,7,2,4,6,8,3,5]=>[2,4,2]=>10100010=>5 [8,2,6,5,4,7,1,3]=>[1,7,3,4,5,2,8,6]=>[2,3,2,1]=>10100101=>6 [7,6,5,2,4,8,1,3]=>[2,3,4,7,5,1,8,6]=>[4,1,2,1]=>10001101=>4 [7,8,2,5,3,1,6,4]=>[2,1,7,4,6,8,3,5]=>[1,2,3,2]=>11010010=>5 [7,1,8,6,3,2,4,5]=>[2,8,1,3,6,7,5,4]=>[2,4,1,1]=>10100011=>4 [6,8,1,5,3,2,4,7]=>[3,1,8,4,6,7,5,2]=>[1,2,3,1,1]=>11010011=>4 [1,6,7,5,3,2,4,8]=>[8,3,2,4,6,7,5,1]=>[1,1,4,1,1]=>11100011=>2 [6,5,1,2,4,8,3,7]=>[3,4,8,7,5,1,6,2]=>[3,1,1,2,1]=>10011101=>4 [7,8,1,6,4,2,3,5]=>[2,1,8,3,5,7,6,4]=>[1,2,3,1,1]=>11010011=>4 [8,4,1,2,5,6,3,7]=>[1,5,8,7,4,3,6,2]=>[3,1,1,2,1]=>10011101=>4 [1,7,3,6,5,2,4,8]=>[8,2,6,3,4,7,5,1]=>[1,2,3,1,1]=>11010011=>4 [8,1,3,7,2,6,4,5]=>[1,8,6,2,7,3,5,4]=>[2,1,2,2,1]=>10110101=>6 [7,3,2,6,5,1,8,4]=>[2,6,7,3,4,8,1,5]=>[3,3,2]=>10010010=>5 [7,8,4,2,5,6,1,3]=>[2,1,5,7,4,3,8,6]=>[1,3,1,2,1]=>11001101=>4 [8,2,7,4,5,6,1,3]=>[1,7,2,5,4,3,8,6]=>[2,2,1,2,1]=>10101101=>6 [8,2,3,6,5,1,7,4]=>[1,7,6,3,4,8,2,5]=>[2,1,3,2]=>10110010=>5 [7,9,8,6,5,4,3,2,1]=>[3,1,2,4,5,6,7,8,9]=>[1,8]=>110000000=>1 [6,9,8,7,5,4,3,2,1]=>[4,1,2,3,5,6,7,8,9]=>[1,8]=>110000000=>1 [5,9,8,7,6,4,3,2,1]=>[5,1,2,3,4,6,7,8,9]=>[1,8]=>110000000=>1 [4,9,8,7,6,5,3,2,1]=>[6,1,2,3,4,5,7,8,9]=>[1,8]=>110000000=>1 [3,9,8,7,6,5,4,2,1]=>[7,1,2,3,4,5,6,8,9]=>[1,8]=>110000000=>1 [2,9,8,7,6,5,4,3,1]=>[8,1,2,3,4,5,6,7,9]=>[1,8]=>110000000=>1 [6,9,7,8,5,4,3,2,1]=>[4,1,3,2,5,6,7,8,9]=>[1,2,6]=>110100000=>3 [4,8,6,5,7,3,2,1]=>[5,1,3,4,2,6,7,8]=>[1,3,4]=>11001000=>3 [3,8,7,5,4,6,2,1]=>[6,1,2,4,5,3,7,8]=>[1,4,3]=>11000100=>3 [4,8,5,6,7,3,2,1]=>[5,1,4,3,2,6,7,8]=>[1,2,1,4]=>11011000=>3 [2,8,7,6,4,3,5,1]=>[7,1,2,3,5,6,4,8]=>[1,5,2]=>11000010=>3 [3,8,7,4,5,6,2,1]=>[6,1,2,5,4,3,7,8]=>[1,3,1,3]=>11001100=>3 [1,8,7,6,5,3,2,4]=>[8,1,2,3,4,6,7,5]=>[1,6,1]=>11000001=>2 [2,8,7,6,3,4,5,1]=>[7,1,2,3,6,5,4,8]=>[1,4,1,2]=>11000110=>3 [2,9,8,7,6,5,3,4,1]=>[8,1,2,3,4,5,7,6,9]=>[1,6,2]=>110000010=>3 [1,8,7,6,5,2,3,4]=>[8,1,2,3,4,7,6,5]=>[1,5,1,1]=>11000011=>2 [1,9,8,7,6,5,4,2,3]=>[9,1,2,3,4,5,6,8,7]=>[1,7,1]=>110000001=>2 [7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[2,5,1]=>10100001=>4 [7,2,8,5,4,6,1,3]=>[2,7,1,4,5,3,8,6]=>[2,3,2,1]=>10100101=>6 [6,3,2,8,5,1,7,4]=>[3,6,7,1,4,8,2,5]=>[3,3,2]=>10010010=>5 [8,4,7,2,5,6,3,1]=>[1,5,2,7,4,3,6,8]=>[2,2,1,3]=>10101100=>5 [6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[1,5,2]=>11000010=>3 [5,8,6,4,1,3,7,2]=>[4,1,3,5,8,6,2,7]=>[1,4,1,2]=>11000110=>3 [4,8,6,1,5,3,7,2]=>[5,1,3,8,4,6,2,7]=>[1,3,2,2]=>11001010=>5 [3,6,1,8,5,2,7,4]=>[6,3,8,1,4,7,2,5]=>[1,2,3,2]=>11010010=>5 [3,4,1,2,8,6,7,5]=>[6,5,8,7,1,3,2,4]=>[1,2,1,2,2]=>11011010=>5 [6,8,3,5,4,1,7,2]=>[3,1,6,4,5,8,2,7]=>[1,2,3,2]=>11010010=>5 [7,2,5,8,3,6,1,4]=>[2,7,4,1,6,3,8,5]=>[2,1,2,2,1]=>10110101=>6 [1,7,5,6,3,4,2,8]=>[8,2,4,3,6,5,7,1]=>[1,2,2,2,1]=>11010101=>6 [7,2,6,8,5,3,1,4]=>[2,7,3,1,4,6,8,5]=>[2,1,4,1]=>10110001=>4 [7,6,3,8,5,2,1,4]=>[2,3,6,1,4,7,8,5]=>[3,4,1]=>10010001=>4 [7,2,6,4,8,3,1,5]=>[2,7,3,5,1,6,8,4]=>[2,2,3,1]=>10101001=>6 [1,5,7,4,2,6,3,8]=>[8,4,2,5,7,3,6,1]=>[1,1,3,2,1]=>11100101=>4 [4,2,3,1,7,8,5,6]=>[5,7,6,8,2,1,4,3]=>[2,2,1,2,1]=>10101101=>6 [5,2,8,4,1,7,6,3]=>[4,7,1,5,8,2,3,6]=>[2,3,3]=>10100100=>5 [8,6,3,4,7,2,5,1]=>[1,3,6,5,2,7,4,8]=>[3,1,2,2]=>10011010=>5 [6,8,3,4,5,1,7,2]=>[3,1,6,5,4,8,2,7]=>[1,2,1,2,2]=>11011010=>5 [1,6,3,2,5,8,4,7]=>[8,3,6,7,4,1,5,2]=>[1,3,1,2,1]=>11001101=>4 [8,3,2,1,5,4,7,6]=>[1,6,7,8,4,5,2,3]=>[4,2,2]=>10001010=>5 [6,3,7,1,5,8,4,2]=>[3,6,2,8,4,1,5,7]=>[2,2,1,3]=>10101100=>5 [2,5,1,8,4,3,7,6]=>[7,4,8,1,5,6,2,3]=>[1,2,3,2]=>11010010=>5 [6,2,5,4,8,1,3,7]=>[3,7,4,5,1,8,6,2]=>[2,2,2,1,1]=>10101011=>6 [4,3,1,6,5,8,2,7]=>[5,6,8,3,4,1,7,2]=>[3,2,2,1]=>10010101=>6 [1,3,5,4,6,8,2,7]=>[8,6,4,5,3,1,7,2]=>[1,1,2,1,2,1]=>11101101=>4 [6,1,3,4,5,8,2,7]=>[3,8,6,5,4,1,7,2]=>[2,1,1,1,2,1]=>10111101=>4 [8,3,4,1,5,2,7,6]=>[1,6,5,8,4,7,2,3]=>[2,2,2,2]=>10101010=>7 [7,5,4,2,6,8,3,1]=>[2,4,5,7,3,1,6,8]=>[4,1,3]=>10001100=>3 [8,2,6,4,1,7,3,5]=>[1,7,3,5,8,2,6,4]=>[2,3,2,1]=>10100101=>6 [7,3,8,4,5,2,1,6]=>[2,6,1,5,4,7,8,3]=>[2,2,3,1]=>10101001=>6 [7,2,5,1,8,4,3,6]=>[2,7,4,8,1,5,6,3]=>[2,2,3,1]=>10101001=>6 [1,7,3,2,5,4,8,6]=>[8,2,6,7,4,5,1,3]=>[1,3,2,2]=>11001010=>5 [8,7,2,1,5,3,4,6]=>[1,2,7,8,4,6,5,3]=>[4,2,1,1]=>10001011=>4 [3,6,1,5,8,7,4,2]=>[6,3,8,4,1,2,5,7]=>[1,2,1,4]=>11011000=>3 [8,3,6,4,5,1,7,2]=>[1,6,3,5,4,8,2,7]=>[2,2,2,2]=>10101010=>7 [5,4,6,8,1,2,7,3]=>[4,5,3,1,8,7,2,6]=>[2,1,2,1,2]=>10110110=>5 [6,4,7,2,3,5,8,1]=>[3,5,2,7,6,4,1,8]=>[2,2,1,1,2]=>10101110=>5 [6,8,4,1,3,5,7,2]=>[3,1,5,8,6,4,2,7]=>[1,3,1,1,2]=>11001110=>3 [3,4,7,8,6,2,5,1]=>[6,5,2,1,3,7,4,8]=>[1,1,1,3,2]=>11110010=>3 [4,1,3,5,7,8,6,2]=>[5,8,6,4,2,1,3,7]=>[2,1,1,1,3]=>10111100=>3 [6,5,1,8,4,7,3,2]=>[3,4,8,1,5,2,6,7]=>[3,2,3]=>10010100=>5 [5,3,1,8,4,7,6,2]=>[4,6,8,1,5,2,3,7]=>[3,2,3]=>10010100=>5 [8,2,7,4,6,1,3,5]=>[1,7,2,5,3,8,6,4]=>[2,2,2,1,1]=>10101011=>6 [4,7,3,2,8,1,6,5]=>[5,2,6,7,1,8,3,4]=>[1,3,2,2]=>11001010=>5 [6,3,1,4,7,2,8,5]=>[3,6,8,5,2,7,1,4]=>[3,1,2,2]=>10011010=>5 [8,7,3,6,1,5,2,4]=>[1,2,6,3,8,4,7,5]=>[3,2,2,1]=>10010101=>6 [7,4,3,6,8,2,5,1]=>[2,5,6,3,1,7,4,8]=>[3,1,2,2]=>10011010=>5 [2,4,7,3,8,5,6,1]=>[7,5,2,6,1,4,3,8]=>[1,1,2,2,2]=>11101010=>5 [2,8,6,1,5,7,3,4]=>[7,1,3,8,4,2,6,5]=>[1,3,1,2,1]=>11001101=>4 [7,8,2,5,4,3,1,6]=>[2,1,7,4,5,6,8,3]=>[1,2,4,1]=>11010001=>4 [1,8,3,4,2,7,6,5]=>[8,1,6,5,7,2,3,4]=>[1,2,2,3]=>11010100=>5 [8,5,3,7,4,2,6,1]=>[1,4,6,2,5,7,3,8]=>[3,3,2]=>10010010=>5 [5,7,3,2,4,1,8,6]=>[4,2,6,7,5,8,1,3]=>[1,3,2,2]=>11001010=>5 [2,8,3,4,7,1,5,6]=>[7,1,6,5,2,8,4,3]=>[1,2,1,2,1,1]=>11011011=>4 [4,1,3,6,7,8,2,5]=>[5,8,6,3,2,1,7,4]=>[2,1,1,1,2,1]=>10111101=>4 [1,7,6,3,2,5,8,4]=>[8,2,3,6,7,4,1,5]=>[1,4,1,2]=>11000110=>3 [3,8,1,5,6,2,7,4]=>[6,1,8,4,3,7,2,5]=>[1,2,1,2,2]=>11011010=>5 [8,2,5,6,1,7,4,3]=>[1,7,4,3,8,2,5,6]=>[2,1,2,3]=>10110100=>5 [7,1,5,2,8,6,4,3]=>[2,8,4,7,1,3,5,6]=>[2,2,4]=>10101000=>5 [6,5,4,8,7,2,1,3]=>[3,4,5,1,2,7,8,6]=>[3,4,1]=>10010001=>4 [1,8,6,4,5,2,7,3]=>[8,1,3,5,4,7,2,6]=>[1,3,2,2]=>11001010=>5 [1,8,5,3,6,2,7,4]=>[8,1,4,6,3,7,2,5]=>[1,3,2,2]=>11001010=>5 [3,6,2,1,7,5,8,4]=>[6,3,7,8,2,4,1,5]=>[1,3,2,2]=>11001010=>5 [2,5,4,1,8,7,6,3]=>[7,4,5,8,1,2,3,6]=>[1,3,4]=>11001000=>3 [4,7,2,6,5,8,1,3]=>[5,2,7,3,4,1,8,6]=>[1,2,2,2,1]=>11010101=>6 [6,8,1,4,2,7,3,5]=>[3,1,8,5,7,2,6,4]=>[1,2,2,2,1]=>11010101=>6 [6,3,4,7,1,8,2,5]=>[3,6,5,2,8,1,7,4]=>[2,1,2,2,1]=>10110101=>6 [3,4,7,8,2,5,6,1]=>[6,5,2,1,7,4,3,8]=>[1,1,1,2,1,2]=>11110110=>3 [1,8,2,4,5,6,7,3]=>[8,1,7,5,4,3,2,6]=>[1,2,1,1,1,2]=>11011110=>3 [5,2,4,1,6,8,7,3]=>[4,7,5,8,3,1,2,6]=>[2,2,1,3]=>10101100=>5 [3,2,5,7,6,1,8,4]=>[6,7,4,2,3,8,1,5]=>[2,1,3,2]=>10110010=>5 [4,3,5,6,1,8,7,2]=>[5,6,4,3,8,1,2,7]=>[2,1,2,3]=>10110100=>5 [5,3,4,1,7,6,8,2]=>[4,6,5,8,2,3,1,7]=>[2,2,2,2]=>10101010=>7 [3,1,4,6,5,7,8,2]=>[6,8,5,3,4,2,1,7]=>[2,1,2,1,2]=>10110110=>5 [1,4,7,3,5,6,8,2]=>[8,5,2,6,4,3,1,7]=>[1,1,2,1,1,2]=>11101110=>3 [5,1,3,6,4,8,7,2]=>[4,8,6,3,5,1,2,7]=>[2,1,2,3]=>10110100=>5 [1,3,2,7,5,8,6,4]=>[8,6,7,2,4,1,3,5]=>[1,2,2,3]=>11010100=>5 [1,4,2,5,8,3,7,6]=>[8,5,7,4,1,6,2,3]=>[1,2,1,2,2]=>11011010=>5 [1,4,2,7,8,5,6,3]=>[8,5,7,2,1,4,3,6]=>[1,2,1,2,2]=>11011010=>5 [5,1,2,6,8,4,7,3]=>[4,8,7,3,1,5,2,6]=>[2,1,1,2,2]=>10111010=>5 [4,1,2,6,8,5,3,7]=>[5,8,7,3,1,4,6,2]=>[2,1,1,3,1]=>10111001=>4 [1,5,2,4,8,7,6,3]=>[8,4,7,5,1,2,3,6]=>[1,2,1,4]=>11011000=>3 [1,2,6,4,8,7,5,3]=>[8,7,3,5,1,2,4,6]=>[1,1,2,4]=>11101000=>3 [1,2,7,4,8,6,5,3]=>[8,7,2,5,1,3,4,6]=>[1,1,2,4]=>11101000=>3 [1,3,2,7,5,8,4,6]=>[8,6,7,2,4,1,5,3]=>[1,2,2,2,1]=>11010101=>6 [2,3,1,7,5,4,8,6]=>[7,6,8,2,4,5,1,3]=>[1,2,3,2]=>11010010=>5 [1,3,2,8,5,7,4,6]=>[8,6,7,1,4,2,5,3]=>[1,2,2,2,1]=>11010101=>6 [1,5,2,4,8,7,3,6]=>[8,4,7,5,1,2,6,3]=>[1,2,1,3,1]=>11011001=>4 [1,2,6,4,8,7,3,5]=>[8,7,3,5,1,2,6,4]=>[1,1,2,3,1]=>11101001=>4 [1,2,7,8,5,6,3,4]=>[8,7,2,1,4,3,6,5]=>[1,1,1,2,2,1]=>11110101=>4 [1,2,6,8,5,7,3,4]=>[8,7,3,1,4,2,6,5]=>[1,1,1,2,2,1]=>11110101=>4 [1,5,6,8,2,7,3,4]=>[8,4,3,1,7,2,6,5]=>[1,1,1,2,2,1]=>11110101=>4 [1,4,7,2,8,6,3,5]=>[8,5,2,7,1,3,6,4]=>[1,1,2,3,1]=>11101001=>4 [1,6,7,8,2,5,3,4]=>[8,3,2,1,7,4,6,5]=>[1,1,1,2,2,1]=>11110101=>4 [1,2,6,8,3,7,5,4]=>[8,7,3,1,6,2,4,5]=>[1,1,1,2,3]=>11110100=>3 [1,5,7,8,2,3,6,4]=>[8,4,2,1,7,6,3,5]=>[1,1,1,2,1,2]=>11110110=>3 [1,5,2,7,8,4,6,3]=>[8,4,7,2,1,5,3,6]=>[1,2,1,2,2]=>11011010=>5 [1,4,7,2,8,3,6,5]=>[8,5,2,7,1,6,3,4]=>[1,1,2,2,2]=>11101010=>5 [1,3,6,2,4,8,7,5]=>[8,6,3,7,5,1,2,4]=>[1,1,2,1,3]=>11101100=>3 [1,6,7,3,4,8,5,2]=>[8,3,2,6,5,1,4,7]=>[1,1,2,1,3]=>11101100=>3 [1,5,3,7,4,8,6,2]=>[8,4,6,2,5,1,3,7]=>[1,2,2,3]=>11010100=>5 [2,8,4,1,5,3,7,6]=>[7,1,5,8,4,6,2,3]=>[1,3,2,2]=>11001010=>5 [3,8,4,1,5,7,2,6]=>[6,1,5,8,4,2,7,3]=>[1,3,1,2,1]=>11001101=>4 [1,3,6,4,2,8,7,5]=>[8,6,3,5,7,1,2,4]=>[1,1,3,3]=>11100100=>3 [1,3,7,4,2,8,6,5]=>[8,6,2,5,7,1,3,4]=>[1,1,3,3]=>11100100=>3 [1,3,8,4,2,7,6,5]=>[8,6,1,5,7,2,3,4]=>[1,1,3,3]=>11100100=>3 [1,2,8,4,7,3,6,5]=>[8,7,1,5,2,6,3,4]=>[1,1,2,2,2]=>11101010=>5 [1,2,7,4,8,3,6,5]=>[8,7,2,5,1,6,3,4]=>[1,1,2,2,2]=>11101010=>5 [1,2,6,4,8,3,7,5]=>[8,7,3,5,1,6,2,4]=>[1,1,2,2,2]=>11101010=>5 [1,5,2,4,8,3,7,6]=>[8,4,7,5,1,6,2,3]=>[1,2,1,2,2]=>11011010=>5 [1,8,3,5,2,7,4,6]=>[8,1,6,4,7,2,5,3]=>[1,2,2,2,1]=>11010101=>6 [2,8,3,5,1,4,7,6]=>[7,1,6,4,8,5,2,3]=>[1,2,2,1,2]=>11010110=>5 [2,3,8,6,1,4,7,5]=>[7,6,1,3,8,5,2,4]=>[1,1,3,1,2]=>11100110=>3 [1,3,8,6,2,7,4,5]=>[8,6,1,3,7,2,5,4]=>[1,1,3,2,1]=>11100101=>4 [1,4,8,6,7,2,3,5]=>[8,5,1,3,2,7,6,4]=>[1,1,2,2,1,1]=>11101011=>4 [1,5,6,8,7,2,3,4]=>[8,4,3,1,2,7,6,5]=>[1,1,1,3,1,1]=>11110011=>2 [1,2,6,8,5,3,7,4]=>[8,7,3,1,4,6,2,5]=>[1,1,1,3,2]=>11110010=>3 [1,2,5,8,7,3,6,4]=>[8,7,4,1,2,6,3,5]=>[1,1,1,3,2]=>11110010=>3 [1,2,6,8,7,3,5,4]=>[8,7,3,1,2,6,4,5]=>[1,1,1,3,2]=>11110010=>3 [1,2,7,8,6,3,5,4]=>[8,7,2,1,3,6,4,5]=>[1,1,1,3,2]=>11110010=>3 [1,6,7,8,5,2,3,4]=>[8,3,2,1,4,7,6,5]=>[1,1,1,3,1,1]=>11110011=>2 [1,5,7,8,6,2,3,4]=>[8,4,2,1,3,7,6,5]=>[1,1,1,3,1,1]=>11110011=>2 [1,4,7,6,8,2,3,5]=>[8,5,2,3,1,7,6,4]=>[1,1,2,2,1,1]=>11101011=>4 [1,3,7,6,2,8,4,5]=>[8,6,2,3,7,1,5,4]=>[1,1,3,2,1]=>11100101=>4 [2,3,8,7,4,1,6,5]=>[7,6,1,2,5,8,3,4]=>[1,1,4,2]=>11100010=>3 [1,2,8,4,7,6,3,5]=>[8,7,1,5,2,3,6,4]=>[1,1,2,3,1]=>11101001=>4 [1,2,5,8,7,6,3,4]=>[8,7,4,1,2,3,6,5]=>[1,1,1,4,1]=>11110001=>2 [1,2,6,8,7,5,3,4]=>[8,7,3,1,2,4,6,5]=>[1,1,1,4,1]=>11110001=>2 [1,2,7,8,6,5,3,4]=>[8,7,2,1,3,4,6,5]=>[1,1,1,4,1]=>11110001=>2 [5,2,6,7,3,4,8,1]=>[4,7,3,2,6,5,1,8]=>[2,1,2,1,2]=>10110110=>5 [5,2,4,7,6,3,8,1]=>[4,7,5,2,3,6,1,8]=>[2,1,3,2]=>10110010=>5 [5,6,2,1,7,8,3,4]=>[4,3,7,8,2,1,6,5]=>[1,3,1,2,1]=>11001101=>4 [5,6,2,1,4,8,7,3]=>[4,3,7,8,5,1,2,6]=>[1,3,1,3]=>11001100=>3 [2,6,1,4,5,8,7,3]=>[7,3,8,5,4,1,2,6]=>[1,2,1,1,3]=>11011100=>3 [5,4,2,7,6,3,8,1]=>[4,5,7,2,3,6,1,8]=>[3,3,2]=>10010010=>5 [2,3,7,6,4,5,8,1]=>[7,6,2,3,5,4,1,8]=>[1,1,3,1,2]=>11100110=>3 [2,6,1,7,5,8,3,4]=>[7,3,8,2,4,1,6,5]=>[1,2,2,2,1]=>11010101=>6 [2,6,1,7,4,8,5,3]=>[7,3,8,2,5,1,4,6]=>[1,2,2,3]=>11010100=>5 [5,1,2,7,8,4,3,6]=>[4,8,7,2,1,5,6,3]=>[2,1,1,3,1]=>10111001=>4 [2,6,1,7,4,8,3,5]=>[7,3,8,2,5,1,6,4]=>[1,2,2,2,1]=>11010101=>6 [3,6,4,1,7,8,2,5]=>[6,3,5,8,2,1,7,4]=>[1,3,1,2,1]=>11001101=>4 [5,4,6,1,3,8,7,2]=>[4,5,3,8,6,1,2,7]=>[2,2,1,3]=>10101100=>5 [3,6,4,1,5,8,7,2]=>[6,3,5,8,4,1,2,7]=>[1,3,1,3]=>11001100=>3 [2,6,1,5,4,8,7,3]=>[7,3,8,4,5,1,2,6]=>[1,2,2,3]=>11010100=>5 [2,6,1,4,7,8,5,3]=>[7,3,8,5,2,1,4,6]=>[1,2,1,1,3]=>11011100=>3 [5,1,2,4,8,6,7,3]=>[4,8,7,5,1,3,2,6]=>[2,1,1,2,2]=>10111010=>5 [5,1,2,4,8,7,3,6]=>[4,8,7,5,1,2,6,3]=>[2,1,1,3,1]=>10111001=>4 [5,1,2,4,8,7,6,3]=>[4,8,7,5,1,2,3,6]=>[2,1,1,4]=>10111000=>3 [1,2,3,8,5,4,7,6]=>[8,7,6,1,4,5,2,3]=>[1,1,1,3,2]=>11110010=>3 [4,3,1,2,8,5,7,6]=>[5,6,8,7,1,4,2,3]=>[3,1,2,2]=>10011010=>5 [2,1,5,3,8,6,4,7]=>[7,8,4,6,1,3,5,2]=>[2,2,3,1]=>10101001=>6 [1,2,3,8,5,6,4,7]=>[8,7,6,1,4,3,5,2]=>[1,1,1,2,2,1]=>11110101=>4 [1,2,3,8,6,4,5,7]=>[8,7,6,1,3,5,4,2]=>[1,1,1,3,1,1]=>11110011=>2 [1,2,3,8,6,5,4,7]=>[8,7,6,1,3,4,5,2]=>[1,1,1,4,1]=>11110001=>2 [1,2,3,8,5,4,6,7]=>[8,7,6,1,4,5,3,2]=>[1,1,1,3,1,1]=>11110011=>2 [2,6,1,5,4,8,3,7]=>[7,3,8,4,5,1,6,2]=>[1,2,2,2,1]=>11010101=>6 [5,1,2,4,8,6,3,7]=>[4,8,7,5,1,3,6,2]=>[2,1,1,3,1]=>10111001=>4 [5,1,2,4,8,3,7,6]=>[4,8,7,5,1,6,2,3]=>[2,1,1,2,2]=>10111010=>5 [5,6,3,1,4,8,2,7]=>[4,3,6,8,5,1,7,2]=>[1,3,1,2,1]=>11001101=>4 [2,5,4,3,1,8,6,7]=>[7,4,5,6,8,1,3,2]=>[1,4,2,1]=>11000101=>4 [5,4,6,3,1,8,7,2]=>[4,5,3,6,8,1,2,7]=>[2,3,3]=>10100100=>5 [3,6,4,5,1,8,7,2]=>[6,3,5,4,8,1,2,7]=>[1,2,2,3]=>11010100=>5 [3,6,5,4,1,8,7,2]=>[6,3,4,5,8,1,2,7]=>[1,4,3]=>11000100=>3 [5,2,6,1,7,8,4,3]=>[4,7,3,8,2,1,5,6]=>[2,2,1,3]=>10101100=>5 [5,1,6,2,8,7,3,4]=>[4,8,3,7,1,2,6,5]=>[2,2,3,1]=>10101001=>6 [2,1,3,7,8,6,4,5]=>[7,8,6,2,1,3,5,4]=>[2,1,1,3,1]=>10111001=>4 [2,1,3,7,8,5,6,4]=>[7,8,6,2,1,4,3,5]=>[2,1,1,2,2]=>10111010=>5 [5,2,4,1,7,8,6,3]=>[4,7,5,8,2,1,3,6]=>[2,2,1,3]=>10101100=>5 [4,3,1,2,8,6,7,5]=>[5,6,8,7,1,3,2,4]=>[3,1,2,2]=>10011010=>5 [5,1,4,2,8,6,7,3]=>[4,8,5,7,1,3,2,6]=>[2,2,2,2]=>10101010=>7 [2,1,3,6,8,5,7,4]=>[7,8,6,3,1,4,2,5]=>[2,1,1,2,2]=>10111010=>5 [1,2,3,8,6,7,4,5]=>[8,7,6,1,3,2,5,4]=>[1,1,1,2,2,1]=>11110101=>4 [1,2,3,8,7,5,4,6]=>[8,7,6,1,2,4,5,3]=>[1,1,1,4,1]=>11110001=>2 [1,2,3,8,7,4,5,6]=>[8,7,6,1,2,5,4,3]=>[1,1,1,3,1,1]=>11110011=>2 [1,2,3,8,5,7,4,6]=>[8,7,6,1,4,2,5,3]=>[1,1,1,2,2,1]=>11110101=>4 [2,1,3,6,8,7,4,5]=>[7,8,6,3,1,2,5,4]=>[2,1,1,3,1]=>10111001=>4 [5,4,1,2,8,7,6,3]=>[4,5,8,7,1,2,3,6]=>[3,1,4]=>10011000=>3 [3,1,6,2,8,7,5,4]=>[6,8,3,7,1,2,4,5]=>[2,2,4]=>10101000=>5 [1,2,3,4,5,9,6,7,8]=>[9,8,7,6,5,1,4,3,2]=>[1,1,1,1,1,2,1,1]=>111111011=>2 [1,2,3,4,9,5,6,7,8]=>[9,8,7,6,1,5,4,3,2]=>[1,1,1,1,2,1,1,1]=>111110111=>2 [1,2,3,9,4,5,6,7,8]=>[9,8,7,1,6,5,4,3,2]=>[1,1,1,2,1,1,1,1]=>111101111=>2 [1,2,9,3,4,5,6,7,8]=>[9,8,1,7,6,5,4,3,2]=>[1,1,2,1,1,1,1,1]=>111011111=>2 [1,2,3,4,5,9,7,6,8]=>[9,8,7,6,5,1,3,4,2]=>[1,1,1,1,1,3,1]=>111111001=>2 [1,2,3,4,9,6,5,7,8]=>[9,8,7,6,1,4,5,3,2]=>[1,1,1,1,3,1,1]=>111110011=>2 [1,2,8,4,5,3,6,7]=>[8,7,1,5,4,6,3,2]=>[1,1,2,2,1,1]=>11101011=>4 [1,2,3,9,5,4,6,7,8]=>[9,8,7,1,5,6,4,3,2]=>[1,1,1,3,1,1,1]=>111100111=>2 [1,8,3,4,2,5,6,7]=>[8,1,6,5,7,4,3,2]=>[1,2,2,1,1,1]=>11010111=>4 [1,2,9,4,3,5,6,7,8]=>[9,8,1,6,7,5,4,3,2]=>[1,1,3,1,1,1,1]=>111001111=>2 [1,8,4,3,2,5,6,7]=>[8,1,5,6,7,4,3,2]=>[1,4,1,1,1]=>11000111=>2 [1,9,3,2,4,5,6,7,8]=>[9,1,7,8,6,5,4,3,2]=>[1,3,1,1,1,1,1]=>110011111=>2 [8,4,7,6,5,3,2,1]=>[1,5,2,3,4,6,7,8]=>[2,6]=>10100000=>3 [8,4,7,5,6,3,2,1]=>[1,5,2,4,3,6,7,8]=>[2,2,4]=>10101000=>5 [8,5,7,4,6,3,2,1]=>[1,4,2,5,3,6,7,8]=>[2,2,4]=>10101000=>5 [8,7,6,3,5,4,2,1]=>[1,2,3,6,4,5,7,8]=>[4,4]=>10001000=>3 [8,6,7,3,5,4,2,1]=>[1,3,2,6,4,5,7,8]=>[2,2,4]=>10101000=>5 [8,5,7,3,6,4,2,1]=>[1,4,2,6,3,5,7,8]=>[2,2,4]=>10101000=>5 [8,1,7,4,6,5,3,2]=>[1,8,2,5,3,4,6,7]=>[2,2,4]=>10101000=>5 [8,1,7,3,6,5,4,2]=>[1,8,2,6,3,4,5,7]=>[2,2,4]=>10101000=>5 [8,2,7,3,6,5,4,1]=>[1,7,2,6,3,4,5,8]=>[2,2,4]=>10101000=>5 [8,3,7,2,6,5,4,1]=>[1,6,2,7,3,4,5,8]=>[2,2,4]=>10101000=>5 [8,5,7,2,6,4,3,1]=>[1,4,2,7,3,5,6,8]=>[2,2,4]=>10101000=>5 [8,6,7,2,5,4,3,1]=>[1,3,2,7,4,5,6,8]=>[2,2,4]=>10101000=>5 [8,7,6,2,5,4,3,1]=>[1,2,3,7,4,5,6,8]=>[4,4]=>10001000=>3 [8,4,7,1,6,5,3,2]=>[1,5,2,8,3,4,6,7]=>[2,2,4]=>10101000=>5 [8,3,7,1,6,5,4,2]=>[1,6,2,8,3,4,5,7]=>[2,2,4]=>10101000=>5 [8,2,7,1,6,5,4,3]=>[1,7,2,8,3,4,5,6]=>[2,2,4]=>10101000=>5 [8,1,7,2,6,5,4,3]=>[1,8,2,7,3,4,5,6]=>[2,2,4]=>10101000=>5 [8,7,6,2,5,3,4,1]=>[1,2,3,7,4,6,5,8]=>[4,2,2]=>10001010=>5 [8,1,7,6,5,3,4,2]=>[1,8,2,3,4,6,5,7]=>[2,4,2]=>10100010=>5 [8,3,7,6,5,2,4,1]=>[1,6,2,3,4,7,5,8]=>[2,4,2]=>10100010=>5 [8,4,7,6,5,2,3,1]=>[1,5,2,3,4,7,6,8]=>[2,4,2]=>10100010=>5 [8,5,7,6,4,2,3,1]=>[1,4,2,3,5,7,6,8]=>[2,4,2]=>10100010=>5 [8,6,7,5,4,1,3,2]=>[1,3,2,4,5,8,6,7]=>[2,4,2]=>10100010=>5 [8,5,7,6,4,1,3,2]=>[1,4,2,3,5,8,6,7]=>[2,4,2]=>10100010=>5 [8,3,7,6,5,1,4,2]=>[1,6,2,3,4,8,5,7]=>[2,4,2]=>10100010=>5 [8,7,6,4,5,1,3,2]=>[1,2,3,5,4,8,6,7]=>[4,2,2]=>10001010=>5 [8,7,6,2,5,1,4,3]=>[1,2,3,7,4,8,5,6]=>[4,2,2]=>10001010=>5 [8,7,6,1,5,2,4,3]=>[1,2,3,8,4,7,5,6]=>[4,2,2]=>10001010=>5 [6,8,1,3,2,5,4,7]=>[3,1,8,6,7,4,5,2]=>[1,2,2,2,1]=>11010101=>6 [6,8,1,4,2,5,3,7]=>[3,1,8,5,7,4,6,2]=>[1,2,2,2,1]=>11010101=>6 [7,8,3,6,1,4,2,5]=>[2,1,6,3,8,5,7,4]=>[1,2,2,2,1]=>11010101=>6 [7,8,2,5,3,6,1,4]=>[2,1,7,4,6,3,8,5]=>[1,2,2,2,1]=>11010101=>6 [7,8,2,5,1,4,3,6]=>[2,1,7,4,8,5,6,3]=>[1,2,2,2,1]=>11010101=>6 [7,8,1,4,3,6,2,5]=>[2,1,8,5,6,3,7,4]=>[1,2,2,2,1]=>11010101=>6 [5,8,1,4,3,7,2,6]=>[4,1,8,5,6,2,7,3]=>[1,2,2,2,1]=>11010101=>6 [6,8,2,5,1,4,3,7]=>[3,1,7,4,8,5,6,2]=>[1,2,2,2,1]=>11010101=>6 [6,8,2,5,3,7,1,4]=>[3,1,7,4,6,2,8,5]=>[1,2,2,2,1]=>11010101=>6 [6,8,2,5,4,7,1,3]=>[3,1,7,4,5,2,8,6]=>[1,2,2,2,1]=>11010101=>6 [2,5,4,7,6,8,1,3]=>[7,4,5,2,3,1,8,6]=>[1,2,2,2,1]=>11010101=>6 [2,5,3,7,6,8,1,4]=>[7,4,6,2,3,1,8,5]=>[1,2,2,2,1]=>11010101=>6 [2,5,1,4,3,7,6,8]=>[7,4,8,5,6,2,3,1]=>[1,2,2,2,1]=>11010101=>6 [2,6,1,4,3,7,5,8]=>[7,3,8,5,6,2,4,1]=>[1,2,2,2,1]=>11010101=>6 [2,6,5,8,1,4,3,7]=>[7,3,4,1,8,5,6,2]=>[1,2,2,2,1]=>11010101=>6 [2,6,1,5,3,7,4,8]=>[7,3,8,4,6,2,5,1]=>[1,2,2,2,1]=>11010101=>6 [2,6,3,7,4,8,1,5]=>[7,3,6,2,5,1,8,4]=>[1,2,2,2,1]=>11010101=>6 [2,6,4,7,5,8,1,3]=>[7,3,5,2,4,1,8,6]=>[1,2,2,2,1]=>11010101=>6 [5,8,3,6,4,7,1,2]=>[4,1,6,3,5,2,8,7]=>[1,2,2,2,1]=>11010101=>6 [5,8,2,6,4,7,1,3]=>[4,1,7,3,5,2,8,6]=>[1,2,2,2,1]=>11010101=>6 [4,8,2,6,3,7,1,5]=>[5,1,7,3,6,2,8,4]=>[1,2,2,2,1]=>11010101=>6 [4,8,1,5,3,7,2,6]=>[5,1,8,4,6,2,7,3]=>[1,2,2,2,1]=>11010101=>6 [4,8,1,5,2,6,3,7]=>[5,1,8,4,7,3,6,2]=>[1,2,2,2,1]=>11010101=>6 [4,8,3,7,1,5,2,6]=>[5,1,6,2,8,4,7,3]=>[1,2,2,2,1]=>11010101=>6 [6,8,3,7,1,4,2,5]=>[3,1,6,2,8,5,7,4]=>[1,2,2,2,1]=>11010101=>6 [5,8,1,3,2,6,4,7]=>[4,1,8,6,7,3,5,2]=>[1,2,2,2,1]=>11010101=>6 [5,8,4,7,1,3,2,6]=>[4,1,5,2,8,6,7,3]=>[1,2,2,2,1]=>11010101=>6 [6,8,4,7,1,3,2,5]=>[3,1,5,2,8,6,7,4]=>[1,2,2,2,1]=>11010101=>6 [6,8,5,7,1,3,2,4]=>[3,1,4,2,8,6,7,5]=>[1,2,2,2,1]=>11010101=>6 [5,7,6,8,2,4,1,3]=>[4,2,3,1,7,5,8,6]=>[1,2,2,2,1]=>11010101=>6 [4,7,6,8,1,3,2,5]=>[5,2,3,1,8,6,7,4]=>[1,2,2,2,1]=>11010101=>6 [4,7,5,8,1,3,2,6]=>[5,2,4,1,8,6,7,3]=>[1,2,2,2,1]=>11010101=>6 [4,7,1,3,2,6,5,8]=>[5,2,8,6,7,3,4,1]=>[1,2,2,2,1]=>11010101=>6 [3,7,1,4,2,6,5,8]=>[6,2,8,5,7,3,4,1]=>[1,2,2,2,1]=>11010101=>6 [3,7,5,8,1,4,2,6]=>[6,2,4,1,8,5,7,3]=>[1,2,2,2,1]=>11010101=>6 [3,7,6,8,1,4,2,5]=>[6,2,3,1,8,5,7,4]=>[1,2,2,2,1]=>11010101=>6 [3,7,6,8,2,5,1,4]=>[6,2,3,1,7,4,8,5]=>[1,2,2,2,1]=>11010101=>6 [4,7,6,8,2,5,1,3]=>[5,2,3,1,7,4,8,6]=>[1,2,2,2,1]=>11010101=>6 [4,7,5,8,3,6,1,2]=>[5,2,4,1,6,3,8,7]=>[1,2,2,2,1]=>11010101=>6 [4,7,5,8,2,6,1,3]=>[5,2,4,1,7,3,8,6]=>[1,2,2,2,1]=>11010101=>6 [3,7,5,8,2,6,1,4]=>[6,2,4,1,7,3,8,5]=>[1,2,2,2,1]=>11010101=>6 [3,7,4,8,2,6,1,5]=>[6,2,5,1,7,3,8,4]=>[1,2,2,2,1]=>11010101=>6 [3,7,4,8,1,5,2,6]=>[6,2,5,1,8,4,7,3]=>[1,2,2,2,1]=>11010101=>6 [3,7,1,5,2,6,4,8]=>[6,2,8,4,7,3,5,1]=>[1,2,2,2,1]=>11010101=>6 [3,7,2,6,1,5,4,8]=>[6,2,7,3,8,4,5,1]=>[1,2,2,2,1]=>11010101=>6 [3,7,2,6,5,8,1,4]=>[6,2,7,3,4,1,8,5]=>[1,2,2,2,1]=>11010101=>6 [4,7,3,6,5,8,1,2]=>[5,2,6,3,4,1,8,7]=>[1,2,2,2,1]=>11010101=>6 [3,6,5,8,4,7,1,2]=>[6,3,4,1,5,2,8,7]=>[1,2,2,2,1]=>11010101=>6 [2,6,5,8,4,7,1,3]=>[7,3,4,1,5,2,8,6]=>[1,2,2,2,1]=>11010101=>6 [2,6,5,8,3,7,1,4]=>[7,3,4,1,6,2,8,5]=>[1,2,2,2,1]=>11010101=>6 [2,6,3,7,1,5,4,8]=>[7,3,6,2,8,4,5,1]=>[1,2,2,2,1]=>11010101=>6 [7,6,4,2,8,5,3,1]=>[2,3,5,7,1,4,6,8]=>[4,4]=>10001000=>3 [7,6,4,3,8,2,5,1]=>[2,3,5,6,1,7,4,8]=>[4,2,2]=>10001010=>5 [7,6,4,8,5,2,3,1]=>[2,3,5,1,4,7,6,8]=>[3,3,2]=>10010010=>5 [6,8,4,3,7,2,1,5]=>[3,1,5,6,2,7,8,4]=>[1,3,3,1]=>11001001=>4 [6,8,3,7,5,2,4,1]=>[3,1,6,2,4,7,5,8]=>[1,2,3,2]=>11010010=>5 [7,6,8,3,5,2,4,1]=>[2,3,1,6,4,7,5,8]=>[2,2,2,2]=>10101010=>7 [7,6,3,5,8,2,4,1]=>[2,3,6,4,1,7,5,8]=>[3,1,2,2]=>10011010=>5 [7,6,4,2,5,1,8,3]=>[2,3,5,7,4,8,1,6]=>[4,2,2]=>10001010=>5 [7,6,3,8,2,4,1,5]=>[2,3,6,1,7,5,8,4]=>[3,2,2,1]=>10010101=>6 [6,8,3,7,4,5,2,1]=>[3,1,6,2,5,4,7,8]=>[1,2,2,3]=>11010100=>5 [6,7,3,5,8,4,2,1]=>[3,2,6,4,1,5,7,8]=>[1,2,1,4]=>11011000=>3 [5,7,8,3,6,2,1,4]=>[4,2,1,6,3,7,8,5]=>[1,1,2,3,1]=>11101001=>4 [5,8,3,6,7,2,1,4]=>[4,1,6,3,2,7,8,5]=>[1,2,1,3,1]=>11011001=>4 [6,3,4,8,7,2,5,1]=>[3,6,5,1,2,7,4,8]=>[2,1,3,2]=>10110010=>5 [6,3,8,4,7,2,1,5]=>[3,6,1,5,2,7,8,4]=>[2,2,3,1]=>10101001=>6 [6,2,8,4,1,7,5,3]=>[3,7,1,5,8,2,4,6]=>[2,3,3]=>10100100=>5 [6,2,7,4,1,5,3,8]=>[3,7,2,5,8,4,6,1]=>[2,3,2,1]=>10100101=>6 [6,3,4,7,5,8,2,1]=>[3,6,5,2,4,1,7,8]=>[2,1,2,3]=>10110100=>5 [6,3,5,7,8,4,2,1]=>[3,6,4,2,1,5,7,8]=>[2,1,1,4]=>10111000=>3 [5,7,3,6,8,2,1,4]=>[4,2,6,3,1,7,8,5]=>[1,2,1,3,1]=>11011001=>4 [5,6,8,3,7,2,1,4]=>[4,3,1,6,2,7,8,5]=>[1,1,2,3,1]=>11101001=>4 [4,6,7,8,3,5,2,1]=>[5,3,2,1,6,4,7,8]=>[1,1,1,2,3]=>11110100=>3 [4,6,8,3,5,7,2,1]=>[5,3,1,6,4,2,7,8]=>[1,1,2,1,3]=>11101100=>3 [4,7,3,5,6,8,2,1]=>[5,2,6,4,3,1,7,8]=>[1,2,1,1,3]=>11011100=>3 [4,7,3,5,8,2,6,1]=>[5,2,6,4,1,7,3,8]=>[1,2,1,2,2]=>11011010=>5 [5,3,4,7,8,2,1,6]=>[4,6,5,2,1,7,8,3]=>[2,1,1,3,1]=>10111001=>4 [5,3,8,2,4,1,6,7]=>[4,6,1,7,5,8,3,2]=>[2,2,2,1,1]=>10101011=>6 [5,3,4,8,2,6,1,7]=>[4,6,5,1,7,3,8,2]=>[2,1,2,2,1]=>10110101=>6 [4,8,3,6,2,5,7,1]=>[5,1,6,3,7,4,2,8]=>[1,2,2,1,2]=>11010110=>5 [4,8,3,5,7,2,6,1]=>[5,1,6,4,2,7,3,8]=>[1,2,1,2,2]=>11011010=>5 [4,8,3,5,6,7,2,1]=>[5,1,6,4,3,2,7,8]=>[1,2,1,1,3]=>11011100=>3 [4,7,8,3,5,6,2,1]=>[5,2,1,6,4,3,7,8]=>[1,1,2,1,3]=>11101100=>3 [4,7,8,3,6,2,5,1]=>[5,2,1,6,3,7,4,8]=>[1,1,2,2,2]=>11101010=>5 [4,8,3,6,7,2,5,1]=>[5,1,6,3,2,7,4,8]=>[1,2,1,2,2]=>11011010=>5 [4,8,3,7,2,5,6,1]=>[5,1,6,2,7,4,3,8]=>[1,2,2,1,2]=>11010110=>5 [5,3,8,2,4,1,7,6]=>[4,6,1,7,5,8,2,3]=>[2,2,2,2]=>10101010=>7 [5,2,8,4,1,7,3,6]=>[4,7,1,5,8,2,6,3]=>[2,3,2,1]=>10100101=>6 [6,4,2,5,1,8,7,3]=>[3,5,7,4,8,1,2,6]=>[3,2,3]=>10010100=>5 [6,4,3,5,8,2,1,7]=>[3,5,6,4,1,7,8,2]=>[3,1,3,1]=>10011001=>4 [6,3,5,8,7,2,4,1]=>[3,6,4,1,2,7,5,8]=>[2,1,3,2]=>10110010=>5 [5,8,3,7,2,6,4,1]=>[4,1,6,2,7,3,5,8]=>[1,2,2,3]=>11010100=>5 [5,8,4,2,3,1,6,7]=>[4,1,5,7,6,8,3,2]=>[1,3,2,1,1]=>11001011=>4 [5,8,4,2,3,1,7,6]=>[4,1,5,7,6,8,2,3]=>[1,3,2,2]=>11001010=>5 [6,4,5,3,8,2,1,7]=>[3,5,4,6,1,7,8,2]=>[2,2,3,1]=>10101001=>6 [6,4,8,5,3,7,2,1]=>[3,5,1,4,6,2,7,8]=>[2,3,3]=>10100100=>5 [6,4,3,8,5,7,2,1]=>[3,5,6,1,4,2,7,8]=>[3,2,3]=>10010100=>5 [6,4,2,8,5,3,1,7]=>[3,5,7,1,4,6,8,2]=>[3,4,1]=>10010001=>4 [6,4,2,7,3,1,8,5]=>[3,5,7,2,6,8,1,4]=>[3,3,2]=>10010010=>5 [6,4,3,7,8,5,2,1]=>[3,5,6,2,1,4,7,8]=>[3,1,4]=>10011000=>3 [6,4,5,3,7,1,8,2]=>[3,5,4,6,2,8,1,7]=>[2,2,2,2]=>10101010=>7 [5,6,3,7,1,8,2,4]=>[4,3,6,2,8,1,7,5]=>[1,2,2,2,1]=>11010101=>6 [5,6,3,4,8,2,1,7]=>[4,3,6,5,1,7,8,2]=>[1,2,1,3,1]=>11011001=>4 [6,3,5,7,4,8,2,1]=>[3,6,4,2,5,1,7,8]=>[2,1,2,3]=>10110100=>5 [6,3,5,4,7,8,2,1]=>[3,6,4,5,2,1,7,8]=>[2,2,1,3]=>10101100=>5 [6,4,3,5,7,1,8,2]=>[3,5,6,4,2,8,1,7]=>[3,1,2,2]=>10011010=>5 [6,4,2,5,1,7,3,8]=>[3,5,7,4,8,2,6,1]=>[3,2,2,1]=>10010101=>6 [5,3,7,2,4,1,6,8]=>[4,6,2,7,5,8,3,1]=>[2,2,2,1,1]=>10101011=>6 [5,3,4,7,2,6,1,8]=>[4,6,5,2,7,3,8,1]=>[2,1,2,2,1]=>10110101=>6 [4,7,3,6,2,5,8,1]=>[5,2,6,3,7,4,1,8]=>[1,2,2,1,2]=>11010110=>5 [4,7,3,6,8,2,5,1]=>[5,2,6,3,1,7,4,8]=>[1,2,1,2,2]=>11011010=>5 [4,6,7,3,5,8,2,1]=>[5,3,2,6,4,1,7,8]=>[1,1,2,1,3]=>11101100=>3 [4,5,7,8,3,6,2,1]=>[5,4,2,1,6,3,7,8]=>[1,1,1,2,3]=>11110100=>3 [4,5,8,3,6,7,2,1]=>[5,4,1,6,3,2,7,8]=>[1,1,2,1,3]=>11101100=>3 [4,5,8,3,7,2,6,1]=>[5,4,1,6,2,7,3,8]=>[1,1,2,2,2]=>11101010=>5 [5,3,4,6,8,2,1,7]=>[4,6,5,3,1,7,8,2]=>[2,1,1,3,1]=>10111001=>4 [5,3,6,8,2,1,4,7]=>[4,6,3,1,7,8,5,2]=>[2,1,3,1,1]=>10110011=>4 [5,3,6,7,1,8,2,4]=>[4,6,3,2,8,1,7,5]=>[2,1,2,2,1]=>10110101=>6 [5,3,4,6,7,1,8,2]=>[4,6,5,3,2,8,1,7]=>[2,1,1,2,2]=>10111010=>5 [4,6,3,5,7,8,2,1]=>[5,3,6,4,2,1,7,8]=>[1,2,1,1,3]=>11011100=>3 [4,5,7,3,6,8,2,1]=>[5,4,2,6,3,1,7,8]=>[1,1,2,1,3]=>11101100=>3 [4,5,6,8,3,7,2,1]=>[5,4,3,1,6,2,7,8]=>[1,1,1,2,3]=>11110100=>3 [5,7,4,8,6,3,2,1]=>[4,2,5,1,3,6,7,8]=>[1,2,5]=>11010000=>3 [3,2,6,5,1,8,7,4]=>[6,7,3,4,8,1,2,5]=>[2,3,3]=>10100100=>5 [3,5,6,7,2,8,4,1]=>[6,4,3,2,7,1,5,8]=>[1,1,1,2,3]=>11110100=>3 [7,6,9,8,5,4,3,2,1]=>[3,4,1,2,5,6,7,8,9]=>[2,7]=>101000000=>3 [6,5,4,9,8,7,3,2,1]=>[4,5,6,1,2,3,7,8,9]=>[3,6]=>100100000=>3 [6,8,5,9,7,4,3,2,1]=>[4,2,5,1,3,6,7,8,9]=>[1,2,6]=>110100000=>3 [6,7,8,9,5,4,3,2,1]=>[4,3,2,1,5,6,7,8,9]=>[1,1,1,6]=>111100000=>1 [5,4,3,2,9,8,7,6,1]=>[5,6,7,8,1,2,3,4,9]=>[4,5]=>100010000=>3 [5,6,7,8,9,4,3,2,1]=>[5,4,3,2,1,6,7,8,9]=>[1,1,1,1,5]=>111110000=>1 [4,8,3,2,1,9,7,6,5]=>[6,2,7,8,9,1,3,4,5]=>[1,4,4]=>110001000=>3 [4,6,7,8,3,9,5,2,1]=>[6,4,3,2,7,1,5,8,9]=>[1,1,1,2,4]=>111101000=>3 [4,5,6,7,8,9,3,2,1]=>[6,5,4,3,2,1,7,8,9]=>[1,1,1,1,1,4]=>111111000=>1 [3,2,1,6,5,4,9,8,7]=>[7,8,9,4,5,6,1,2,3]=>[3,3,3]=>100100100=>5 [3,2,5,4,7,6,9,8,1]=>[7,8,5,6,3,4,1,2,9]=>[2,2,2,3]=>101010100=>7 [3,5,7,2,8,4,9,6,1]=>[7,5,3,8,2,6,1,4,9]=>[1,1,2,2,3]=>111010100=>5 [3,4,5,6,7,8,9,2,1]=>[7,6,5,4,3,2,1,8,9]=>[1,1,1,1,1,1,3]=>111111100=>1 [2,4,6,7,1,8,3,9,5]=>[8,6,4,3,9,2,7,1,5]=>[1,1,1,2,2,2]=>111101010=>5 [2,4,5,6,7,8,1,9,3]=>[8,6,5,4,3,2,9,1,7]=>[1,1,1,1,1,2,2]=>111111010=>3 [1,6,2,5,3,4,8,7]=>[8,3,7,4,6,5,1,2]=>[1,2,2,1,2]=>11010110=>5 [1,3,8,2,4,6,5,7]=>[8,6,1,7,5,3,4,2]=>[1,1,2,1,2,1]=>11101101=>4 [1,7,2,3,6,4,8,5]=>[8,2,7,6,3,5,1,4]=>[1,2,1,2,2]=>11011010=>5 [1,6,8,2,5,3,7,4]=>[8,3,1,7,4,6,2,5]=>[1,1,2,2,2]=>11101010=>5 [1,8,2,5,3,4,7,6]=>[8,1,7,4,6,5,2,3]=>[1,2,2,1,2]=>11010110=>5 [1,8,2,3,6,4,7,5]=>[8,1,7,6,3,5,2,4]=>[1,2,1,2,2]=>11011010=>5 [1,3,5,2,8,4,7,6]=>[8,6,4,7,1,5,2,3]=>[1,1,2,2,2]=>11101010=>5 [1,2,7,3,5,4,6,8]=>[8,7,2,6,4,5,3,1]=>[1,1,2,2,1,1]=>11101011=>4 [1,8,2,7,3,4,6,5]=>[8,1,7,2,6,5,3,4]=>[1,2,2,1,2]=>11010110=>5 [1,5,8,2,3,7,4,6]=>[8,4,1,7,6,2,5,3]=>[1,1,2,1,2,1]=>11101101=>4 [1,6,8,2,3,5,4,7]=>[8,3,1,7,6,4,5,2]=>[1,1,2,1,2,1]=>11101101=>4 [5,3,6,1,2,4,8,7]=>[4,6,3,8,7,5,1,2]=>[2,2,1,1,2]=>10101110=>5 [7,1,5,8,4,2,3,6]=>[2,8,4,1,5,7,6,3]=>[2,1,3,1,1]=>10110011=>4 [8,1,5,7,4,2,3,6]=>[1,8,4,2,5,7,6,3]=>[2,1,3,1,1]=>10110011=>4 [7,1,4,5,8,2,3,6]=>[2,8,5,4,1,7,6,3]=>[2,1,1,2,1,1]=>10111011=>4 [7,4,1,6,2,8,3,5]=>[2,5,8,3,7,1,6,4]=>[3,2,2,1]=>10010101=>6 [8,4,1,7,2,6,3,5]=>[1,5,8,2,7,3,6,4]=>[3,2,2,1]=>10010101=>6 [8,1,4,7,5,2,3,6]=>[1,8,5,2,4,7,6,3]=>[2,1,3,1,1]=>10110011=>4 [8,1,5,4,7,2,3,6]=>[1,8,4,5,2,7,6,3]=>[2,2,2,1,1]=>10101011=>6 [2,1,7,5,8,3,4,6]=>[7,8,2,4,1,6,5,3]=>[2,2,2,1,1]=>10101011=>6 [7,1,5,4,8,2,3,6]=>[2,8,4,5,1,7,6,3]=>[2,2,2,1,1]=>10101011=>6 [7,1,4,8,5,2,3,6]=>[2,8,5,1,4,7,6,3]=>[2,1,3,1,1]=>10110011=>4 [6,4,1,7,2,3,8,5]=>[3,5,8,2,7,6,1,4]=>[3,2,1,2]=>10010110=>5 [7,8,3,1,2,4,6,5]=>[2,1,6,8,7,5,3,4]=>[1,3,1,1,2]=>11001110=>3 [8,7,1,6,4,2,3,5]=>[1,2,8,3,5,7,6,4]=>[3,3,1,1]=>10010011=>4 [8,6,1,7,4,2,3,5]=>[1,3,8,2,5,7,6,4]=>[3,3,1,1]=>10010011=>4 [7,6,1,8,4,2,3,5]=>[2,3,8,1,5,7,6,4]=>[3,3,1,1]=>10010011=>4 [7,3,8,1,2,4,6,5]=>[2,6,1,8,7,5,3,4]=>[2,2,1,1,2]=>10101110=>5 [8,3,7,1,2,4,6,5]=>[1,6,2,8,7,5,3,4]=>[2,2,1,1,2]=>10101110=>5 [8,3,6,1,2,4,7,5]=>[1,6,3,8,7,5,2,4]=>[2,2,1,1,2]=>10101110=>5 [8,3,7,5,1,2,4,6]=>[1,6,2,4,8,7,5,3]=>[2,3,1,1,1]=>10100111=>4 [7,3,6,1,2,4,8,5]=>[2,6,3,8,7,5,1,4]=>[2,2,1,1,2]=>10101110=>5 [6,7,1,8,4,2,3,5]=>[3,2,8,1,5,7,6,4]=>[1,2,3,1,1]=>11010011=>4 [6,8,1,7,4,2,3,5]=>[3,1,8,2,5,7,6,4]=>[1,2,3,1,1]=>11010011=>4 [7,1,8,5,4,2,3,6]=>[2,8,1,4,5,7,6,3]=>[2,4,1,1]=>10100011=>4 [7,1,8,4,5,2,3,6]=>[2,8,1,5,4,7,6,3]=>[2,2,2,1,1]=>10101011=>6 [2,1,7,8,5,3,4,6]=>[7,8,2,1,4,6,5,3]=>[2,1,3,1,1]=>10110011=>4 [7,6,3,1,2,4,8,5]=>[2,3,6,8,7,5,1,4]=>[4,1,1,2]=>10001110=>3 [6,1,2,3,8,7,5,4]=>[3,8,7,6,1,2,4,5]=>[2,1,1,4]=>10111000=>3 [6,8,1,4,2,3,7,5]=>[3,1,8,5,7,6,2,4]=>[1,2,2,1,2]=>11010110=>5 [6,8,3,1,2,7,4,5]=>[3,1,6,8,7,2,5,4]=>[1,3,1,2,1]=>11001101=>4 [6,7,3,1,2,8,4,5]=>[3,2,6,8,7,1,5,4]=>[1,3,1,2,1]=>11001101=>4 [6,7,1,4,2,3,8,5]=>[3,2,8,5,7,6,1,4]=>[1,2,2,1,2]=>11010110=>5 [4,3,6,8,5,7,1,2]=>[5,6,3,1,4,2,8,7]=>[2,1,2,2,1]=>10110101=>6 [6,1,2,5,4,8,3,7]=>[3,8,7,4,5,1,6,2]=>[2,1,2,2,1]=>10110101=>6 [3,2,8,5,4,1,7,6]=>[6,7,1,4,5,8,2,3]=>[2,4,2]=>10100010=>5 [7,8,2,1,4,6,3,5]=>[2,1,7,8,5,3,6,4]=>[1,3,1,2,1]=>11001101=>4 [7,2,1,5,8,3,4,6]=>[2,7,8,4,1,6,5,3]=>[3,1,2,1,1]=>10011011=>4 [2,4,8,5,1,3,6,7]=>[7,5,1,4,8,6,3,2]=>[1,1,3,1,1,1]=>11100111=>2 [3,5,6,1,8,4,2,7]=>[6,4,3,8,1,5,7,2]=>[1,1,2,3,1]=>11101001=>4 [1,3,6,8,7,4,2,5]=>[8,6,3,1,2,5,7,4]=>[1,1,1,4,1]=>11110001=>2 [1,2,8,5,7,3,4,6]=>[8,7,1,4,2,6,5,3]=>[1,1,2,2,1,1]=>11101011=>4 [2,6,1,5,8,3,4,7]=>[7,3,8,4,1,6,5,2]=>[1,2,1,2,1,1]=>11011011=>4 [5,7,1,6,8,4,3,2]=>[4,2,8,3,1,5,6,7]=>[1,2,1,4]=>11011000=>3 [4,8,1,2,5,7,3,6]=>[5,1,8,7,4,2,6,3]=>[1,2,1,1,2,1]=>11011101=>4 [8,4,6,2,5,7,3,1]=>[1,5,3,7,4,2,6,8]=>[2,2,1,3]=>10101100=>5 [8,3,6,4,7,2,5,1]=>[1,6,3,5,2,7,4,8]=>[2,2,2,2]=>10101010=>7 [3,8,1,4,7,2,5,6]=>[6,1,8,5,2,7,4,3]=>[1,2,1,2,1,1]=>11011011=>4 [1,7,8,4,6,2,5,3]=>[8,2,1,5,3,7,4,6]=>[1,1,2,2,2]=>11101010=>5 [3,7,4,8,5,1,6,2]=>[6,2,5,1,4,8,3,7]=>[1,2,3,2]=>11010010=>5 [3,7,1,6,5,4,8,2]=>[6,2,8,3,4,5,1,7]=>[1,2,3,2]=>11010010=>5 [2,7,3,1,5,8,4,6]=>[7,2,6,8,4,1,5,3]=>[1,3,1,2,1]=>11001101=>4 [2,7,4,6,8,1,3,5]=>[7,2,5,3,1,8,6,4]=>[1,2,1,2,1,1]=>11011011=>4 [2,7,5,8,6,4,1,3]=>[7,2,4,1,3,5,8,6]=>[1,2,4,1]=>11010001=>4 [8,2,6,7,5,4,3,1]=>[1,7,3,2,4,5,6,8]=>[2,1,5]=>10110000=>3 [3,8,7,1,6,4,5,2]=>[6,1,2,8,3,5,4,7]=>[1,3,2,2]=>11001010=>5 [3,6,8,2,7,4,1,5]=>[6,3,1,7,2,5,8,4]=>[1,1,2,3,1]=>11101001=>4 [1,5,2,8,7,4,6,3]=>[8,4,7,1,2,5,3,6]=>[1,2,3,2]=>11010010=>5 [3,4,2,7,8,1,6,5]=>[6,5,7,2,1,8,3,4]=>[1,2,1,2,2]=>11011010=>5 [6,3,8,1,7,4,2,5]=>[3,6,1,8,2,5,7,4]=>[2,2,3,1]=>10101001=>6 [6,5,8,7,1,4,2,3]=>[3,4,1,2,8,5,7,6]=>[2,3,2,1]=>10100101=>6 [4,1,7,3,8,5,2,6]=>[5,8,2,6,1,4,7,3]=>[2,2,3,1]=>10101001=>6 [1,6,7,4,5,3,8,2]=>[8,3,2,5,4,6,1,7]=>[1,1,2,2,2]=>11101010=>5 [6,1,7,3,5,4,8,2]=>[3,8,2,6,4,5,1,7]=>[2,2,2,2]=>10101010=>7 [5,6,8,7,2,4,1,3]=>[4,3,1,2,7,5,8,6]=>[1,1,3,2,1]=>11100101=>4 [6,8,5,7,1,2,4,3]=>[3,1,4,2,8,7,5,6]=>[1,2,2,1,2]=>11010110=>5 [2,8,4,1,7,5,6,3]=>[7,1,5,8,2,4,3,6]=>[1,3,2,2]=>11001010=>5 [6,8,2,1,5,7,3,4]=>[3,1,7,8,4,2,6,5]=>[1,3,1,2,1]=>11001101=>4 [7,2,8,4,1,6,3,5]=>[2,7,1,5,8,3,6,4]=>[2,3,2,1]=>10100101=>6 [1,2,4,8,6,5,3,7]=>[8,7,5,1,3,4,6,2]=>[1,1,1,4,1]=>11110001=>2 [7,1,5,6,8,4,3,2]=>[2,8,4,3,1,5,6,7]=>[2,1,1,4]=>10111000=>3 [2,7,8,1,4,6,3,5]=>[7,2,1,8,5,3,6,4]=>[1,1,2,1,2,1]=>11101101=>4 [4,8,2,5,7,1,6,3]=>[5,1,7,4,2,8,3,6]=>[1,2,1,2,2]=>11011010=>5 [4,1,6,8,5,3,7,2]=>[5,8,3,1,4,6,2,7]=>[2,1,3,2]=>10110010=>5 [6,7,1,3,4,5,8,2]=>[3,2,8,6,5,4,1,7]=>[1,2,1,1,1,2]=>11011110=>3 [1,7,3,2,4,8,5,6]=>[8,2,6,7,5,1,4,3]=>[1,3,1,2,1]=>11001101=>4 [1,3,6,5,2,8,4,7]=>[8,6,3,4,7,1,5,2]=>[1,1,3,2,1]=>11100101=>4 [7,1,6,5,3,4,8,2]=>[2,8,3,4,6,5,1,7]=>[2,3,1,2]=>10100110=>5 [6,3,4,2,8,7,5,1]=>[3,6,5,7,1,2,4,8]=>[2,2,4]=>10101000=>5 [4,3,8,7,5,2,6,1]=>[5,6,1,2,4,7,3,8]=>[2,4,2]=>10100010=>5 [6,8,7,4,2,3,5,1]=>[3,1,2,5,7,6,4,8]=>[1,4,1,2]=>11000110=>3 [3,6,4,5,2,8,7,1]=>[6,3,5,4,7,1,2,8]=>[1,2,2,3]=>11010100=>5 [8,6,1,3,5,4,2,7]=>[1,3,8,6,4,5,7,2]=>[3,1,3,1]=>10011001=>4 [5,3,8,6,1,2,4,7]=>[4,6,1,3,8,7,5,2]=>[2,3,1,1,1]=>10100111=>4 [2,5,6,3,4,8,7,1]=>[7,4,3,6,5,1,2,8]=>[1,1,2,1,3]=>11101100=>3 [2,5,3,6,8,7,4,1]=>[7,4,6,3,1,2,5,8]=>[1,2,1,4]=>11011000=>3 [4,8,7,3,5,2,6,1]=>[5,1,2,6,4,7,3,8]=>[1,3,2,2]=>11001010=>5 [3,8,7,2,6,4,5,1]=>[6,1,2,7,3,5,4,8]=>[1,3,2,2]=>11001010=>5 [6,3,5,4,8,7,2,1]=>[3,6,4,5,1,2,7,8]=>[2,2,4]=>10101000=>5 [4,3,8,6,1,5,2,7]=>[5,6,1,3,8,4,7,2]=>[2,3,2,1]=>10100101=>6 [4,7,6,2,5,3,8,1]=>[5,2,3,7,4,6,1,8]=>[1,3,2,2]=>11001010=>5 [7,5,2,6,8,1,4,3]=>[2,4,7,3,1,8,5,6]=>[3,1,2,2]=>10011010=>5 [8,5,2,7,1,4,3,6]=>[1,4,7,2,8,5,6,3]=>[3,2,2,1]=>10010101=>6 [1,8,5,3,6,2,4,7]=>[8,1,4,6,3,7,5,2]=>[1,3,2,1,1]=>11001011=>4 [5,1,7,2,4,3,8,6]=>[4,8,2,7,5,6,1,3]=>[2,2,2,2]=>10101010=>7 [1,5,3,4,8,6,2,7]=>[8,4,6,5,1,3,7,2]=>[1,2,1,3,1]=>11011001=>4 [5,4,1,3,8,6,2,7]=>[4,5,8,6,1,3,7,2]=>[3,1,3,1]=>10011001=>4 [5,1,8,6,3,4,2,7]=>[4,8,1,3,6,5,7,2]=>[2,3,2,1]=>10100101=>6 [4,5,2,8,3,7,6,1]=>[5,4,7,1,6,2,3,8]=>[1,2,2,3]=>11010100=>5 [8,2,3,7,6,4,5,1]=>[1,7,6,2,3,5,4,8]=>[2,1,3,2]=>10110010=>5 [5,8,2,4,7,6,3,1]=>[4,1,7,5,2,3,6,8]=>[1,2,1,4]=>11011000=>3 [6,8,2,5,3,4,7,1]=>[3,1,7,4,6,5,2,8]=>[1,2,2,1,2]=>11010110=>5 [7,2,5,6,4,8,1,3]=>[2,7,4,3,5,1,8,6]=>[2,1,2,2,1]=>10110101=>6 [1,6,7,4,8,2,3,5]=>[8,3,2,5,1,7,6,4]=>[1,1,2,2,1,1]=>11101011=>4 [7,1,3,5,8,2,6,4]=>[2,8,6,4,1,7,3,5]=>[2,1,1,2,2]=>10111010=>5 [8,2,1,3,5,6,7,4]=>[1,7,8,6,4,3,2,5]=>[3,1,1,1,2]=>10011110=>3 [6,3,1,4,7,5,8,2]=>[3,6,8,5,2,4,1,7]=>[3,1,2,2]=>10011010=>5 [4,1,3,8,2,6,7,5]=>[5,8,6,1,7,3,2,4]=>[2,1,2,1,2]=>10110110=>5 [2,8,3,6,7,5,4,1]=>[7,1,6,3,2,4,5,8]=>[1,2,1,4]=>11011000=>3 [3,1,7,2,8,5,4,6]=>[6,8,2,7,1,4,5,3]=>[2,2,3,1]=>10101001=>6 [3,6,1,4,7,2,8,5]=>[6,3,8,5,2,7,1,4]=>[1,2,1,2,2]=>11011010=>5 [1,5,8,4,7,2,3,6]=>[8,4,1,5,2,7,6,3]=>[1,1,2,2,1,1]=>11101011=>4 [7,1,3,6,2,8,4,5]=>[2,8,6,3,7,1,5,4]=>[2,1,2,2,1]=>10110101=>6 [6,2,7,4,5,8,1,3]=>[3,7,2,5,4,1,8,6]=>[2,2,1,2,1]=>10101101=>6 [2,1,8,4,5,7,3,6]=>[7,8,1,5,4,2,6,3]=>[2,2,1,2,1]=>10101101=>6 [1,8,5,7,3,2,4,6]=>[8,1,4,2,6,7,5,3]=>[1,2,3,1,1]=>11010011=>4 [2,1,8,5,4,3,6,7]=>[7,8,1,4,5,6,3,2]=>[2,4,1,1]=>10100011=>4 [2,7,4,1,5,3,8,6]=>[7,2,5,8,4,6,1,3]=>[1,3,2,2]=>11001010=>5 [7,4,8,6,2,3,1,5]=>[2,5,1,3,7,6,8,4]=>[2,3,2,1]=>10100101=>6 [2,7,1,4,6,3,8,5]=>[7,2,8,5,3,6,1,4]=>[1,2,1,2,2]=>11011010=>5 [4,7,5,6,8,1,3,2]=>[5,2,4,3,1,8,6,7]=>[1,2,1,2,2]=>11011010=>5 [7,1,3,2,8,5,4,6]=>[2,8,6,7,1,4,5,3]=>[2,2,3,1]=>10101001=>6 [2,8,5,4,1,3,6,7]=>[7,1,4,5,8,6,3,2]=>[1,4,1,1,1]=>11000111=>2 [5,1,7,4,2,3,8,6]=>[4,8,2,5,7,6,1,3]=>[2,3,1,2]=>10100110=>5 [3,8,6,5,1,4,2,7]=>[6,1,3,4,8,5,7,2]=>[1,4,2,1]=>11000101=>4 [1,3,4,8,6,5,2,7]=>[8,6,5,1,3,4,7,2]=>[1,1,1,4,1]=>11110001=>2 [4,1,8,6,5,3,2,7]=>[5,8,1,3,4,6,7,2]=>[2,5,1]=>10100001=>4 [4,8,5,2,7,3,6,1]=>[5,1,4,7,2,6,3,8]=>[1,3,2,2]=>11001010=>5 [7,2,8,5,3,6,4,1]=>[2,7,1,4,6,3,5,8]=>[2,3,3]=>10100100=>5 [5,2,8,4,3,7,6,1]=>[4,7,1,5,6,2,3,8]=>[2,3,3]=>10100100=>5 [8,4,7,5,2,3,6,1]=>[1,5,2,4,7,6,3,8]=>[2,3,1,2]=>10100110=>5 [7,5,2,8,4,6,1,3]=>[2,4,7,1,5,3,8,6]=>[3,2,2,1]=>10010101=>6 [5,7,4,3,6,2,8,1]=>[4,2,5,6,3,7,1,8]=>[1,3,2,2]=>11001010=>5 [6,7,5,1,2,8,3,4]=>[3,2,4,8,7,1,6,5]=>[1,3,1,2,1]=>11001101=>4 [5,2,6,8,3,4,7,1]=>[4,7,3,1,6,5,2,8]=>[2,1,2,1,2]=>10110110=>5 [7,6,2,4,5,8,3,1]=>[2,3,7,5,4,1,6,8]=>[3,1,1,3]=>10011100=>3 [3,6,8,4,7,2,5,1]=>[6,3,1,5,2,7,4,8]=>[1,1,2,2,2]=>11101010=>5 [7,6,3,8,4,2,5,1]=>[2,3,6,1,5,7,4,8]=>[3,3,2]=>10010010=>5 [2,6,3,8,4,7,5,1]=>[7,3,6,1,5,2,4,8]=>[1,2,2,3]=>11010100=>5 [7,2,3,6,5,8,4,1]=>[2,7,6,3,4,1,5,8]=>[2,1,2,3]=>10110100=>5 [6,2,7,5,8,3,1,4]=>[3,7,2,4,1,6,8,5]=>[2,2,3,1]=>10101001=>6 [2,8,3,6,4,5,7,1]=>[7,1,6,3,5,4,2,8]=>[1,2,2,1,2]=>11010110=>5 [2,1,5,6,8,3,7,4]=>[7,8,4,3,1,6,2,5]=>[2,1,1,2,2]=>10111010=>5 [5,8,1,2,6,4,7,3]=>[4,1,8,7,3,5,2,6]=>[1,2,1,2,2]=>11011010=>5 [1,6,8,3,2,7,4,5]=>[8,3,1,6,7,2,5,4]=>[1,1,3,2,1]=>11100101=>4 [6,5,7,2,8,4,1,3]=>[3,4,2,7,1,5,8,6]=>[2,2,3,1]=>10101001=>6 [7,5,1,2,8,4,6,3]=>[2,4,8,7,1,5,3,6]=>[3,1,2,2]=>10011010=>5 [5,4,8,3,6,2,7,1]=>[4,5,1,6,3,7,2,8]=>[2,2,2,2]=>10101010=>7 [5,8,2,7,4,3,6,1]=>[4,1,7,2,5,6,3,8]=>[1,2,3,2]=>11010010=>5 [6,4,5,8,2,7,3,1]=>[3,5,4,1,7,2,6,8]=>[2,1,2,3]=>10110100=>5 [5,7,3,6,4,8,2,1]=>[4,2,6,3,5,1,7,8]=>[1,2,2,3]=>11010100=>5 [1,5,6,4,8,2,7,3]=>[8,4,3,5,1,7,2,6]=>[1,1,2,2,2]=>11101010=>5 [3,1,5,6,4,8,7,2]=>[6,8,4,3,5,1,2,7]=>[2,1,2,3]=>10110100=>5 [1,3,6,2,5,7,8,4]=>[8,6,3,7,4,2,1,5]=>[1,1,2,1,1,2]=>11101110=>3 [1,4,6,3,5,7,8,2]=>[8,5,3,6,4,2,1,7]=>[1,1,2,1,1,2]=>11101110=>3 [3,5,1,6,4,7,8,2]=>[6,4,8,3,5,2,1,7]=>[1,2,2,1,2]=>11010110=>5 [3,6,1,4,2,7,8,5]=>[6,3,8,5,7,2,1,4]=>[1,2,2,1,2]=>11010110=>5 [2,4,6,3,1,7,8,5]=>[7,5,3,6,8,2,1,4]=>[1,1,3,1,2]=>11100110=>3 [1,3,6,5,2,7,8,4]=>[8,6,3,4,7,2,1,5]=>[1,1,3,1,2]=>11100110=>3 [1,2,6,4,3,8,5,7]=>[8,7,3,5,6,1,4,2]=>[1,1,3,2,1]=>11100101=>4 [1,2,6,3,5,8,7,4]=>[8,7,3,6,4,1,2,5]=>[1,1,2,1,3]=>11101100=>3 [2,3,5,1,8,4,7,6]=>[7,6,4,8,1,5,2,3]=>[1,1,2,2,2]=>11101010=>5 [2,3,6,1,8,5,4,7]=>[7,6,3,8,1,4,5,2]=>[1,1,2,3,1]=>11101001=>4 [1,2,7,4,6,8,3,5]=>[8,7,2,5,3,1,6,4]=>[1,1,2,1,2,1]=>11101101=>4 [2,3,7,5,1,8,4,6]=>[7,6,2,4,8,1,5,3]=>[1,1,3,2,1]=>11100101=>4 [4,7,2,5,3,8,6,1]=>[5,2,7,4,6,1,3,8]=>[1,2,2,3]=>11010100=>5 [3,1,7,5,4,8,6,2]=>[6,8,2,4,5,1,3,7]=>[2,3,3]=>10100100=>5 [1,2,7,6,4,8,5,3]=>[8,7,2,3,5,1,4,6]=>[1,1,3,3]=>11100100=>3 [1,2,7,3,6,8,5,4]=>[8,7,2,6,3,1,4,5]=>[1,1,2,1,3]=>11101100=>3 [2,3,6,1,8,5,7,4]=>[7,6,3,8,1,4,2,5]=>[1,1,2,2,2]=>11101010=>5 [3,1,5,4,8,7,6,2]=>[6,8,4,5,1,2,3,7]=>[2,2,4]=>10101000=>5 [1,2,5,8,4,7,3,6]=>[8,7,4,1,5,2,6,3]=>[1,1,1,2,2,1]=>11110101=>4 [1,2,6,8,5,4,7,3]=>[8,7,3,1,4,5,2,6]=>[1,1,1,3,2]=>11110010=>3 [1,3,6,8,5,2,7,4]=>[8,6,3,1,4,7,2,5]=>[1,1,1,3,2]=>11110010=>3 [3,5,7,4,8,2,1,6]=>[6,4,2,5,1,7,8,3]=>[1,1,2,3,1]=>11101001=>4 [2,4,7,6,8,3,1,5]=>[7,5,2,3,1,6,8,4]=>[1,1,2,3,1]=>11101001=>4 [1,4,6,8,3,5,2,7]=>[8,5,3,1,6,4,7,2]=>[1,1,1,2,2,1]=>11110101=>4 [1,3,6,8,5,2,4,7]=>[8,6,3,1,4,7,5,2]=>[1,1,1,3,1,1]=>11110011=>2 [1,2,6,8,5,4,3,7]=>[8,7,3,1,4,5,6,2]=>[1,1,1,4,1]=>11110001=>2 [1,2,5,8,4,3,7,6]=>[8,7,4,1,5,6,2,3]=>[1,1,1,3,2]=>11110010=>3 [1,3,5,8,2,4,7,6]=>[8,6,4,1,7,5,2,3]=>[1,1,1,2,1,2]=>11110110=>3 [1,3,6,8,2,5,4,7]=>[8,6,3,1,7,4,5,2]=>[1,1,1,2,2,1]=>11110101=>4 [1,4,6,8,3,2,5,7]=>[8,5,3,1,6,7,4,2]=>[1,1,1,3,1,1]=>11110011=>2 [3,5,7,4,8,1,2,6]=>[6,4,2,5,1,8,7,3]=>[1,1,2,2,1,1]=>11101011=>4 [4,6,1,7,5,8,2,3]=>[5,3,8,2,4,1,7,6]=>[1,2,2,2,1]=>11010101=>6 [2,3,6,7,5,8,1,4]=>[7,6,3,2,4,1,8,5]=>[1,1,1,2,2,1]=>11110101=>4 [1,3,7,5,6,8,2,4]=>[8,6,2,4,3,1,7,5]=>[1,1,2,1,2,1]=>11101101=>4 [2,3,6,5,8,1,7,4]=>[7,6,3,4,1,8,2,5]=>[1,1,2,2,2]=>11101010=>5 [3,4,6,2,8,1,7,5]=>[6,5,3,7,1,8,2,4]=>[1,1,2,2,2]=>11101010=>5 [3,5,4,6,8,2,1,7]=>[6,4,5,3,1,7,8,2]=>[1,2,1,3,1]=>11011001=>4 [3,5,4,6,8,1,2,7]=>[6,4,5,3,1,8,7,2]=>[1,2,1,2,1,1]=>11011011=>4 [1,2,4,7,5,8,3,6]=>[8,7,5,2,4,1,6,3]=>[1,1,1,2,2,1]=>11110101=>4 [1,2,6,7,4,8,3,5]=>[8,7,3,2,5,1,6,4]=>[1,1,1,2,2,1]=>11110101=>4 [3,6,4,7,1,8,5,2]=>[6,3,5,2,8,1,4,7]=>[1,2,2,3]=>11010100=>5 [1,2,6,7,3,8,5,4]=>[8,7,3,2,6,1,4,5]=>[1,1,1,2,3]=>11110100=>3 [1,2,5,7,3,8,6,4]=>[8,7,4,2,6,1,3,5]=>[1,1,1,2,3]=>11110100=>3 [3,1,5,7,6,8,4,2]=>[6,8,4,2,3,1,5,7]=>[2,1,2,3]=>10110100=>5 [3,5,4,6,8,2,7,1]=>[6,4,5,3,1,7,2,8]=>[1,2,1,2,2]=>11011010=>5 [4,2,6,1,8,7,5,3]=>[5,7,3,8,1,2,4,6]=>[2,2,4]=>10101000=>5 [3,1,6,5,8,7,4,2]=>[6,8,3,4,1,2,5,7]=>[2,2,4]=>10101000=>5 [2,3,6,5,8,7,1,4]=>[7,6,3,4,1,2,8,5]=>[1,1,2,3,1]=>11101001=>4 [1,2,7,4,6,8,5,3]=>[8,7,2,5,3,1,4,6]=>[1,1,2,1,3]=>11101100=>3 [1,2,7,5,6,8,4,3]=>[8,7,2,4,3,1,5,6]=>[1,1,2,1,3]=>11101100=>3 [3,1,6,7,5,8,4,2]=>[6,8,3,2,4,1,5,7]=>[2,1,2,3]=>10110100=>5 [4,6,2,7,5,8,3,1]=>[5,3,7,2,4,1,6,8]=>[1,2,2,3]=>11010100=>5 [3,5,7,4,8,2,6,1]=>[6,4,2,5,1,7,3,8]=>[1,1,2,2,2]=>11101010=>5 [2,4,7,6,8,3,5,1]=>[7,5,2,3,1,6,4,8]=>[1,1,2,2,2]=>11101010=>5 [1,4,6,8,3,5,7,2]=>[8,5,3,1,6,4,2,7]=>[1,1,1,2,1,2]=>11110110=>3 [1,3,6,8,2,5,7,4]=>[8,6,3,1,7,4,2,5]=>[1,1,1,2,1,2]=>11110110=>3 [1,3,5,8,2,7,4,6]=>[8,6,4,1,7,2,5,3]=>[1,1,1,2,2,1]=>11110101=>4 [1,2,5,8,4,7,6,3]=>[8,7,4,1,5,2,3,6]=>[1,1,1,2,3]=>11110100=>3 [1,2,4,8,7,3,6,5]=>[8,7,5,1,2,6,3,4]=>[1,1,1,3,2]=>11110010=>3 [1,2,5,8,7,4,3,6]=>[8,7,4,1,2,5,6,3]=>[1,1,1,4,1]=>11110001=>2 [1,3,5,8,7,2,4,6]=>[8,6,4,1,2,7,5,3]=>[1,1,1,3,1,1]=>11110011=>2 [5,7,1,2,8,6,4,3]=>[4,2,8,7,1,3,5,6]=>[1,2,1,4]=>11011000=>3 [3,1,7,6,8,5,4,2]=>[6,8,2,3,1,4,5,7]=>[2,2,4]=>10101000=>5 [1,2,6,8,5,7,4,3]=>[8,7,3,1,4,2,5,6]=>[1,1,1,2,3]=>11110100=>3 [1,2,5,8,7,4,6,3]=>[8,7,4,1,2,5,3,6]=>[1,1,1,3,2]=>11110010=>3 [1,2,4,8,7,6,3,5]=>[8,7,5,1,2,3,6,4]=>[1,1,1,4,1]=>11110001=>2 [6,4,5,7,2,8,1,3]=>[3,5,4,2,7,1,8,6]=>[2,1,2,2,1]=>10110101=>6 [5,3,4,7,2,8,1,6]=>[4,6,5,2,7,1,8,3]=>[2,1,2,2,1]=>10110101=>6 [3,2,7,4,6,8,1,5]=>[6,7,2,5,3,1,8,4]=>[2,2,1,2,1]=>10101101=>6 [5,3,6,2,7,1,4,8]=>[4,6,3,7,2,8,5,1]=>[2,2,2,1,1]=>10101011=>6 [2,6,3,4,7,1,5,8]=>[7,3,6,5,2,8,4,1]=>[1,2,1,2,1,1]=>11011011=>4 [2,7,3,4,5,8,1,6]=>[7,2,6,5,4,1,8,3]=>[1,2,1,1,2,1]=>11011101=>4 [3,7,4,5,6,8,1,2]=>[6,2,5,4,3,1,8,7]=>[1,2,1,1,2,1]=>11011101=>4 [2,5,7,3,6,8,1,4]=>[7,4,2,6,3,1,8,5]=>[1,1,2,1,2,1]=>11101101=>4 [4,7,6,2,3,8,1,5]=>[5,2,3,7,6,1,8,4]=>[1,3,1,2,1]=>11001101=>4 [7,3,5,2,4,8,1,6]=>[2,6,4,7,5,1,8,3]=>[2,2,1,2,1]=>10101101=>6 [7,6,2,4,5,8,1,3]=>[2,3,7,5,4,1,8,6]=>[3,1,1,2,1]=>10011101=>4 [6,5,2,3,4,8,1,7]=>[3,4,7,6,5,1,8,2]=>[3,1,1,2,1]=>10011101=>4 [5,3,1,2,8,4,7,6]=>[4,6,8,7,1,5,2,3]=>[3,1,2,2]=>10011010=>5 [6,5,2,3,7,1,4,8]=>[3,4,7,6,2,8,5,1]=>[3,1,2,1,1]=>10011011=>4 [5,2,1,7,3,4,6,8]=>[4,7,8,2,6,5,3,1]=>[3,2,1,1,1]=>10010111=>4 [5,2,1,8,3,4,6,7]=>[4,7,8,1,6,5,3,2]=>[3,2,1,1,1]=>10010111=>4 [6,3,2,8,4,5,7,1]=>[3,6,7,1,5,4,2,8]=>[3,2,1,2]=>10010110=>5 [7,3,1,2,8,4,6,5]=>[2,6,8,7,1,5,3,4]=>[3,1,2,2]=>10011010=>5 [6,4,1,3,8,5,7,2]=>[3,5,8,6,1,4,2,7]=>[3,1,2,2]=>10011010=>5 [6,2,3,1,8,4,7,5]=>[3,7,6,8,1,5,2,4]=>[2,2,2,2]=>10101010=>7 [8,3,5,2,7,1,4,6]=>[1,6,4,7,2,8,5,3]=>[2,2,2,1,1]=>10101011=>6 [8,6,2,4,7,1,5,3]=>[1,3,7,5,2,8,4,6]=>[3,1,2,2]=>10011010=>5 [8,5,2,3,6,1,4,7]=>[1,4,7,6,3,8,5,2]=>[3,1,2,1,1]=>10011011=>4 [8,2,1,7,3,4,5,6]=>[1,7,8,2,6,5,4,3]=>[3,2,1,1,1]=>10010111=>4 [8,6,3,7,2,4,5,1]=>[1,3,6,2,7,5,4,8]=>[3,2,1,2]=>10010110=>5 [7,1,6,2,3,4,5,8]=>[2,8,3,7,6,5,4,1]=>[2,2,1,1,1,1]=>10101111=>4 [8,2,7,3,4,5,6,1]=>[1,7,2,6,5,4,3,8]=>[2,2,1,1,2]=>10101110=>5 [8,1,6,2,3,4,5,7]=>[1,8,3,7,6,5,4,2]=>[2,2,1,1,1,1]=>10101111=>4 [8,1,7,3,4,5,6,2]=>[1,8,2,6,5,4,3,7]=>[2,2,1,1,2]=>10101110=>5 [8,6,1,7,2,4,5,3]=>[1,3,8,2,7,5,4,6]=>[3,2,1,2]=>10010110=>5 [8,1,5,7,2,3,6,4]=>[1,8,4,2,7,6,3,5]=>[2,1,2,1,2]=>10110110=>5 [1,7,5,8,2,3,6,4]=>[8,2,4,1,7,6,3,5]=>[1,2,2,1,2]=>11010110=>5 [7,2,1,8,3,4,5,6]=>[2,7,8,1,6,5,4,3]=>[3,2,1,1,1]=>10010111=>4 [7,3,8,2,4,5,6,1]=>[2,6,1,7,5,4,3,8]=>[2,2,1,1,2]=>10101110=>5 [7,2,8,3,4,5,6,1]=>[2,7,1,6,5,4,3,8]=>[2,2,1,1,2]=>10101110=>5 [1,7,8,3,4,5,6,2]=>[8,2,1,6,5,4,3,7]=>[1,1,2,1,1,2]=>11101110=>3 [1,4,5,8,3,6,7,2]=>[8,5,4,1,6,3,2,7]=>[1,1,1,2,1,2]=>11110110=>3 [2,5,7,1,8,3,6,4]=>[7,4,2,8,1,6,3,5]=>[1,1,2,2,2]=>11101010=>5 [6,2,7,1,8,4,5,3]=>[3,7,2,8,1,5,4,6]=>[2,2,2,2]=>10101010=>7 [4,7,1,3,8,5,6,2]=>[5,2,8,6,1,4,3,7]=>[1,2,1,2,2]=>11011010=>5 [1,6,2,8,4,5,7,3]=>[8,3,7,1,5,4,2,6]=>[1,2,2,1,2]=>11010110=>5 [4,1,3,6,8,2,7,5]=>[5,8,6,3,1,7,2,4]=>[2,1,1,2,2]=>10111010=>5 [5,3,4,6,8,2,7,1]=>[4,6,5,3,1,7,2,8]=>[2,1,1,2,2]=>10111010=>5 [4,6,3,8,7,1,2,5]=>[5,3,6,1,2,8,7,4]=>[1,2,3,1,1]=>11010011=>4 [6,4,5,8,7,1,2,3]=>[3,5,4,1,2,8,7,6]=>[2,1,3,1,1]=>10110011=>4 [5,3,4,8,7,1,2,6]=>[4,6,5,1,2,8,7,3]=>[2,1,3,1,1]=>10110011=>4 [3,2,8,7,1,4,6,5]=>[6,7,1,2,8,5,3,4]=>[2,3,1,2]=>10100110=>5 [3,1,8,7,2,4,6,5]=>[6,8,1,2,7,5,3,4]=>[2,3,1,2]=>10100110=>5 [5,3,7,6,1,2,4,8]=>[4,6,2,3,8,7,5,1]=>[2,3,1,1,1]=>10100111=>4 [1,8,3,7,2,4,5,6]=>[8,1,6,2,7,5,4,3]=>[1,2,2,1,1,1]=>11010111=>4 [3,8,1,7,2,4,5,6]=>[6,1,8,2,7,5,4,3]=>[1,2,2,1,1,1]=>11010111=>4 [6,8,2,3,5,1,4,7]=>[3,1,7,6,4,8,5,2]=>[1,2,1,2,1,1]=>11011011=>4 [4,7,8,2,6,1,3,5]=>[5,2,1,7,3,8,6,4]=>[1,1,2,2,1,1]=>11101011=>4 [6,2,8,7,1,4,5,3]=>[3,7,1,2,8,5,4,6]=>[2,3,1,2]=>10100110=>5 [3,8,7,1,4,5,6,2]=>[6,1,2,8,5,4,3,7]=>[1,3,1,1,2]=>11001110=>3 [2,8,6,1,3,4,5,7]=>[7,1,3,8,6,5,4,2]=>[1,3,1,1,1,1]=>11001111=>2 [2,7,6,1,3,4,5,8]=>[7,2,3,8,6,5,4,1]=>[1,3,1,1,1,1]=>11001111=>2 [1,7,6,2,3,4,5,8]=>[8,2,3,7,6,5,4,1]=>[1,3,1,1,1,1]=>11001111=>2 [1,8,6,2,3,4,5,7]=>[8,1,3,7,6,5,4,2]=>[1,3,1,1,1,1]=>11001111=>2 [2,8,7,3,4,5,6,1]=>[7,1,2,6,5,4,3,8]=>[1,3,1,1,2]=>11001110=>3 [3,8,7,2,4,5,6,1]=>[6,1,2,7,5,4,3,8]=>[1,3,1,1,2]=>11001110=>3 [7,8,3,6,2,4,5,1]=>[2,1,6,3,7,5,4,8]=>[1,2,2,1,2]=>11010110=>5 [1,5,8,7,2,3,6,4]=>[8,4,1,2,7,6,3,5]=>[1,1,3,1,2]=>11100110=>3 [8,7,6,1,3,4,5,2]=>[1,2,3,8,6,5,4,7]=>[4,1,1,2]=>10001110=>3 [3,6,2,4,7,1,8,5]=>[6,3,7,5,2,8,1,4]=>[1,2,1,2,2]=>11011010=>5 [3,4,7,2,5,1,8,6]=>[6,5,2,7,4,8,1,3]=>[1,1,2,2,2]=>11101010=>5 [2,1,6,4,8,5,3,7]=>[7,8,3,5,1,4,6,2]=>[2,2,3,1]=>10101001=>6 [4,1,8,5,3,2,7,6]=>[5,8,1,4,6,7,2,3]=>[2,4,2]=>10100010=>5 [3,6,2,5,7,1,4,8]=>[6,3,7,4,2,8,5,1]=>[1,2,1,2,1,1]=>11011011=>4 [1,2,8,3,7,5,4,6]=>[8,7,1,6,2,4,5,3]=>[1,1,2,3,1]=>11101001=>4 [6,1,3,2,8,5,4,7]=>[3,8,6,7,1,4,5,2]=>[2,2,3,1]=>10101001=>6 [5,6,1,2,8,4,3,7]=>[4,3,8,7,1,5,6,2]=>[1,2,1,3,1]=>11011001=>4 [1,6,3,8,7,4,2,5]=>[8,3,6,1,2,5,7,4]=>[1,2,4,1]=>11010001=>4 [4,3,8,1,2,6,7,5]=>[5,6,1,8,7,3,2,4]=>[2,2,1,1,2]=>10101110=>5 [3,1,2,4,5,6,7,8,9]=>[7,9,8,6,5,4,3,2,1]=>[2,1,1,1,1,1,1,1]=>101111111=>2 [2,4,1,3,5,6,7,8,9]=>[8,6,9,7,5,4,3,2,1]=>[1,2,1,1,1,1,1,1]=>110111111=>2 [2,3,5,1,4,6,7,8,9]=>[8,7,5,9,6,4,3,2,1]=>[1,1,2,1,1,1,1,1]=>111011111=>2 [2,3,4,6,1,5,7,8,9]=>[8,7,6,4,9,5,3,2,1]=>[1,1,1,2,1,1,1,1]=>111101111=>2 [2,3,4,5,7,1,6,8,9]=>[8,7,6,5,3,9,4,2,1]=>[1,1,1,1,2,1,1,1]=>111110111=>2 [2,3,4,5,6,8,1,7,9]=>[8,7,6,5,4,2,9,3,1]=>[1,1,1,1,1,2,1,1]=>111111011=>2 [3,6,8,7,1,2,5,4]=>[6,3,1,2,8,7,4,5]=>[1,1,3,1,2]=>11100110=>3 [6,2,8,5,4,7,1,3]=>[3,7,1,4,5,2,8,6]=>[2,3,2,1]=>10100101=>6 [6,5,7,2,4,8,1,3]=>[3,4,2,7,5,1,8,6]=>[2,2,1,2,1]=>10101101=>6 [3,4,1,6,5,8,7,2]=>[6,5,8,3,4,1,2,7]=>[1,2,2,3]=>11010100=>5 [3,5,1,2,4,8,7,6]=>[6,4,8,7,5,1,2,3]=>[1,2,1,1,3]=>11011100=>3 [3,7,5,2,1,4,6,8]=>[6,2,4,7,8,5,3,1]=>[1,4,1,1,1]=>11000111=>2 [3,8,5,2,7,4,1,6]=>[6,1,4,7,2,5,8,3]=>[1,3,3,1]=>11001001=>4 [5,2,8,4,7,3,1,6]=>[4,7,1,5,2,6,8,3]=>[2,2,3,1]=>10101001=>6 [5,2,7,4,1,3,6,8]=>[4,7,2,5,8,6,3,1]=>[2,3,1,1,1]=>10100111=>4 [4,3,5,1,2,8,7,6]=>[5,6,4,8,7,1,2,3]=>[2,2,1,3]=>10101100=>5 [3,1,4,6,2,8,7,5]=>[6,8,5,3,7,1,2,4]=>[2,1,2,3]=>10110100=>5 [1,4,6,5,2,8,7,3]=>[8,5,3,4,7,1,2,6]=>[1,1,3,3]=>11100100=>3 [3,4,5,6,1,8,7,2]=>[6,5,4,3,8,1,2,7]=>[1,1,1,2,3]=>11110100=>3 [3,4,5,8,7,2,1,6]=>[6,5,4,1,2,7,8,3]=>[1,1,1,4,1]=>11110001=>2 [1,4,7,2,6,3,5,8]=>[8,5,2,7,3,6,4,1]=>[1,1,2,2,1,1]=>11101011=>4 [8,4,7,5,2,1,6,3]=>[1,5,2,4,7,8,3,6]=>[2,4,2]=>10100010=>5 [8,1,4,7,2,3,6,5]=>[1,8,5,2,7,6,3,4]=>[2,1,2,1,2]=>10110110=>5 [1,8,5,7,3,4,6,2]=>[8,1,4,2,6,5,3,7]=>[1,2,2,1,2]=>11010110=>5 [6,3,5,1,7,4,2,8]=>[3,6,4,8,2,5,7,1]=>[2,2,3,1]=>10101001=>6 [6,1,4,8,7,3,2,5]=>[3,8,5,1,2,6,7,4]=>[2,1,4,1]=>10110001=>4 [6,4,8,5,7,1,2,3]=>[3,5,1,4,2,8,7,6]=>[2,2,2,1,1]=>10101011=>6 [5,4,8,1,6,3,2,7]=>[4,5,1,8,3,6,7,2]=>[2,2,3,1]=>10101001=>6 [1,4,8,6,3,7,2,5]=>[8,5,1,3,6,2,7,4]=>[1,1,3,2,1]=>11100101=>4 [5,4,7,6,3,8,1,2]=>[4,5,2,3,6,1,8,7]=>[2,3,2,1]=>10100101=>6 [4,6,3,7,5,8,1,2]=>[5,3,6,2,4,1,8,7]=>[1,2,2,2,1]=>11010101=>6 [4,1,3,5,8,6,2,7]=>[5,8,6,4,1,3,7,2]=>[2,1,1,3,1]=>10111001=>4 [5,7,4,3,8,1,2,6]=>[4,2,5,6,1,8,7,3]=>[1,3,2,1,1]=>11001011=>4 [1,4,8,3,7,6,5,2]=>[8,5,1,6,2,3,4,7]=>[1,1,2,4]=>11101000=>3 [4,3,8,2,1,6,5,7]=>[5,6,1,7,8,3,4,2]=>[2,3,2,1]=>10100101=>6 [3,8,4,2,7,1,5,6]=>[6,1,5,7,2,8,4,3]=>[1,3,2,1,1]=>11001011=>4 [3,1,2,5,7,6,4,8]=>[6,8,7,4,2,3,5,1]=>[2,1,1,3,1]=>10111001=>4 [1,8,2,7,6,5,4,3]=>[8,1,7,2,3,4,5,6]=>[1,2,5]=>11010000=>3 [3,8,1,6,7,5,4,2]=>[6,1,8,3,2,4,5,7]=>[1,2,1,4]=>11011000=>3 [3,7,2,6,8,5,1,4]=>[6,2,7,3,1,4,8,5]=>[1,2,1,3,1]=>11011001=>4 [7,2,3,8,5,6,1,4]=>[2,7,6,1,4,3,8,5]=>[2,1,2,2,1]=>10110101=>6 [8,2,1,7,5,6,4,3]=>[1,7,8,2,4,3,5,6]=>[3,2,3]=>10010100=>5 [8,1,3,6,5,7,4,2]=>[1,8,6,3,4,2,5,7]=>[2,1,2,3]=>10110100=>5 [8,2,4,3,6,1,5,7]=>[1,7,5,6,3,8,4,2]=>[2,2,2,1,1]=>10101011=>6 [1,7,8,5,4,3,6,2]=>[8,2,1,4,5,6,3,7]=>[1,1,4,2]=>11100010=>3 [1,8,4,5,3,2,6,7]=>[8,1,5,4,6,7,3,2]=>[1,2,3,1,1]=>11010011=>4 [7,8,5,4,3,1,6,2]=>[2,1,4,5,6,8,3,7]=>[1,5,2]=>11000010=>3 [7,1,6,3,4,2,5,8]=>[2,8,3,6,5,7,4,1]=>[2,2,2,1,1]=>10101011=>6 [6,8,7,1,4,2,5,3]=>[3,1,2,8,5,7,4,6]=>[1,3,2,2]=>11001010=>5 [3,6,1,4,2,7,5,8]=>[6,3,8,5,7,2,4,1]=>[1,2,2,2,1]=>11010101=>6 [3,4,1,8,5,7,6,2]=>[6,5,8,1,4,2,3,7]=>[1,2,2,3]=>11010100=>5 [3,6,5,1,2,8,4,7]=>[6,3,4,8,7,1,5,2]=>[1,3,1,2,1]=>11001101=>4 [3,8,5,6,7,2,1,4]=>[6,1,4,3,2,7,8,5]=>[1,2,1,3,1]=>11011001=>4 [8,1,7,6,2,4,3,5]=>[1,8,2,3,7,5,6,4]=>[2,3,2,1]=>10100101=>6 [8,5,6,1,4,2,3,7]=>[1,4,3,8,5,7,6,2]=>[2,2,2,1,1]=>10101011=>6 [8,6,5,4,7,1,3,2]=>[1,3,4,5,2,8,6,7]=>[4,2,2]=>10001010=>5 [1,6,4,5,7,2,3,8]=>[8,3,5,4,2,7,6,1]=>[1,2,1,2,1,1]=>11011011=>4 [8,3,6,1,7,2,4,5]=>[1,6,3,8,2,7,5,4]=>[2,2,2,1,1]=>10101011=>6 [1,8,6,5,7,3,4,2]=>[8,1,3,4,2,6,5,7]=>[1,3,2,2]=>11001010=>5 [1,7,5,3,6,8,4,2]=>[8,2,4,6,3,1,5,7]=>[1,3,1,3]=>11001100=>3 [7,4,1,6,5,8,3,2]=>[2,5,8,3,4,1,6,7]=>[3,2,3]=>10010100=>5 [4,1,5,8,7,6,3,2]=>[5,8,4,1,2,3,6,7]=>[2,1,5]=>10110000=>3 [1,2,5,8,6,7,3,4]=>[8,7,4,1,3,2,6,5]=>[1,1,1,2,2,1]=>11110101=>4 [4,2,1,5,8,7,3,6]=>[5,7,8,4,1,2,6,3]=>[3,1,3,1]=>10011001=>4 [5,2,4,6,1,7,3,8]=>[4,7,5,3,8,2,6,1]=>[2,1,2,2,1]=>10110101=>6 [1,5,3,6,8,7,4,2]=>[8,4,6,3,1,2,5,7]=>[1,2,1,4]=>11011000=>3 [3,5,4,6,1,8,2,7]=>[6,4,5,3,8,1,7,2]=>[1,2,2,2,1]=>11010101=>6 [3,1,5,7,6,8,2,4]=>[6,8,4,2,3,1,7,5]=>[2,1,2,2,1]=>10110101=>6 [1,4,5,6,8,7,2,3]=>[8,5,4,3,1,2,7,6]=>[1,1,1,1,3,1]=>11111001=>2 [1,4,6,3,7,2,8,5]=>[8,5,3,6,2,7,1,4]=>[1,1,2,2,2]=>11101010=>5 [1,7,3,6,5,2,8,4]=>[8,2,6,3,4,7,1,5]=>[1,2,3,2]=>11010010=>5 [8,6,2,5,4,1,7,3]=>[1,3,7,4,5,8,2,6]=>[3,3,2]=>10010010=>5 [3,7,2,6,5,4,1,8]=>[6,2,7,3,4,5,8,1]=>[1,2,4,1]=>11010001=>4 [7,6,2,5,4,3,1,8]=>[2,3,7,4,5,6,8,1]=>[3,4,1]=>10010001=>4 [4,7,5,2,6,3,1,8]=>[5,2,4,7,3,6,8,1]=>[1,3,3,1]=>11001001=>4 [3,2,6,4,7,5,1,8]=>[6,7,3,5,2,4,8,1]=>[2,2,3,1]=>10101001=>6 [6,2,3,7,5,4,1,8]=>[3,7,6,2,4,5,8,1]=>[2,1,4,1]=>10110001=>4 [1,3,4,7,6,2,8,5]=>[8,6,5,2,3,7,1,4]=>[1,1,1,3,2]=>11110010=>3 [2,8,3,6,1,7,5,4]=>[7,1,6,3,8,2,4,5]=>[1,2,2,3]=>11010100=>5 [8,7,2,5,1,6,4,3]=>[1,2,7,4,8,3,5,6]=>[3,2,3]=>10010100=>5 [3,8,2,6,5,1,7,4]=>[6,1,7,3,4,8,2,5]=>[1,2,3,2]=>11010010=>5 [7,8,2,5,4,1,6,3]=>[2,1,7,4,5,8,3,6]=>[1,2,3,2]=>11010010=>5 [4,8,5,2,6,1,7,3]=>[5,1,4,7,3,8,2,6]=>[1,3,2,2]=>11001010=>5 [4,5,1,3,7,2,8,6]=>[5,4,8,6,2,7,1,3]=>[1,2,1,2,2]=>11011010=>5 [6,1,3,7,5,2,8,4]=>[3,8,6,2,4,7,1,5]=>[2,1,3,2]=>10110010=>5 [7,1,3,6,2,8,5,4]=>[2,8,6,3,7,1,4,5]=>[2,1,2,3]=>10110100=>5 [8,1,3,6,2,7,5,4]=>[1,8,6,3,7,2,4,5]=>[2,1,2,3]=>10110100=>5 [1,2,4,7,3,8,6,5]=>[8,7,5,2,6,1,3,4]=>[1,1,1,2,3]=>11110100=>3 [7,1,8,2,6,5,4,3]=>[2,8,1,7,3,4,5,6]=>[2,2,4]=>10101000=>5 [3,1,8,6,2,7,5,4]=>[6,8,1,3,7,2,4,5]=>[2,3,3]=>10100100=>5 [4,1,7,8,2,6,5,3]=>[5,8,2,1,7,3,4,6]=>[2,1,2,3]=>10110100=>5 [5,6,1,8,2,7,4,3]=>[4,3,8,1,7,2,5,6]=>[1,2,2,3]=>11010100=>5 [4,2,7,8,1,6,5,3]=>[5,7,2,1,8,3,4,6]=>[2,1,2,3]=>10110100=>5 [3,2,8,6,1,7,5,4]=>[6,7,1,3,8,2,4,5]=>[2,3,3]=>10100100=>5 [7,2,8,1,6,5,4,3]=>[2,7,1,8,3,4,5,6]=>[2,2,4]=>10101000=>5 [1,8,7,2,6,5,4,3]=>[8,1,2,7,3,4,5,6]=>[1,3,4]=>11001000=>3 [2,8,7,1,6,5,4,3]=>[7,1,2,8,3,4,5,6]=>[1,3,4]=>11001000=>3 [3,8,7,1,6,5,4,2]=>[6,1,2,8,3,4,5,7]=>[1,3,4]=>11001000=>3 [4,8,7,5,1,6,3,2]=>[5,1,2,4,8,3,6,7]=>[1,4,3]=>11000100=>3 [6,7,8,5,1,4,3,2]=>[3,2,1,4,8,5,6,7]=>[1,1,3,3]=>11100100=>3 [5,6,3,8,4,1,7,2]=>[4,3,6,1,5,8,2,7]=>[1,2,3,2]=>11010010=>5 [7,3,8,5,4,1,6,2]=>[2,6,1,4,5,8,3,7]=>[2,4,2]=>10100010=>5 [3,4,8,6,5,1,7,2]=>[6,5,1,3,4,8,2,7]=>[1,1,4,2]=>11100010=>3 [8,3,7,5,1,6,4,2]=>[1,6,2,4,8,3,5,7]=>[2,3,3]=>10100100=>5 [1,4,8,6,2,7,5,3]=>[8,5,1,3,7,2,4,6]=>[1,1,3,3]=>11100100=>3 [8,4,6,7,1,5,3,2]=>[1,5,3,2,8,4,6,7]=>[2,1,2,3]=>10110100=>5 [5,6,4,7,8,1,3,2]=>[4,3,5,2,1,8,6,7]=>[1,2,1,2,2]=>11011010=>5 [3,4,6,5,1,2,8,7]=>[6,5,3,4,8,7,1,2]=>[1,1,3,1,2]=>11100110=>3 [7,3,5,1,2,8,6,4]=>[2,6,4,8,7,1,3,5]=>[2,2,1,3]=>10101100=>5 [1,4,6,2,3,8,7,5]=>[8,5,3,7,6,1,2,4]=>[1,1,2,1,3]=>11101100=>3 [1,3,2,7,4,8,6,5]=>[8,6,7,2,5,1,3,4]=>[1,2,2,3]=>11010100=>5 [7,2,1,6,3,8,5,4]=>[2,7,8,3,6,1,4,5]=>[3,2,3]=>10010100=>5 [2,3,1,7,6,4,8,5]=>[7,6,8,2,3,5,1,4]=>[1,2,3,2]=>11010010=>5 [4,5,2,1,7,3,8,6]=>[5,4,7,8,2,6,1,3]=>[1,3,2,2]=>11001010=>5 [5,6,7,1,2,8,4,3]=>[4,3,2,8,7,1,5,6]=>[1,1,2,1,3]=>11101100=>3 [4,7,5,1,2,8,6,3]=>[5,2,4,8,7,1,3,6]=>[1,3,1,3]=>11001100=>3 [3,7,1,6,2,8,5,4]=>[6,2,8,3,7,1,4,5]=>[1,2,2,3]=>11010100=>5 [7,6,1,2,8,5,4,3]=>[2,3,8,7,1,4,5,6]=>[3,1,4]=>10011000=>3 [2,7,1,3,8,6,5,4]=>[7,2,8,6,1,3,4,5]=>[1,2,1,4]=>11011000=>3 [8,6,1,2,7,5,4,3]=>[1,3,8,7,2,4,5,6]=>[3,1,4]=>10011000=>3 [1,7,2,3,8,6,5,4]=>[8,2,7,6,1,3,4,5]=>[1,2,1,4]=>11011000=>3 [8,7,1,2,6,5,4,3]=>[1,2,8,7,3,4,5,6]=>[3,1,4]=>10011000=>3 [7,8,1,2,6,5,4,3]=>[2,1,8,7,3,4,5,6]=>[1,2,1,4]=>11011000=>3 [3,8,1,6,2,7,5,4]=>[6,1,8,3,7,2,4,5]=>[1,2,2,3]=>11010100=>5 [4,8,5,1,2,7,6,3]=>[5,1,4,8,7,2,3,6]=>[1,3,1,3]=>11001100=>3 [5,6,8,1,2,7,4,3]=>[4,3,1,8,7,2,5,6]=>[1,1,2,1,3]=>11101100=>3 [2,1,3,7,4,8,6,5]=>[7,8,6,2,5,1,3,4]=>[2,1,2,3]=>10110100=>5 [4,2,7,3,6,8,1,5]=>[5,7,2,6,3,1,8,4]=>[2,2,1,2,1]=>10101101=>6 [5,3,6,4,2,8,1,7]=>[4,6,3,5,7,1,8,2]=>[2,3,2,1]=>10100101=>6 [4,1,5,3,8,2,7,6]=>[5,8,4,6,1,7,2,3]=>[2,2,2,2]=>10101010=>7 [5,2,6,4,7,3,1,8]=>[4,7,3,5,2,6,8,1]=>[2,2,3,1]=>10101001=>6 [2,6,3,4,7,5,1,8]=>[7,3,6,5,2,4,8,1]=>[1,2,1,3,1]=>11011001=>4 [2,6,3,5,4,8,1,7]=>[7,3,6,4,5,1,8,2]=>[1,2,2,2,1]=>11010101=>6 [2,7,4,3,5,8,1,6]=>[7,2,5,6,4,1,8,3]=>[1,3,1,2,1]=>11001101=>4 [7,6,4,5,2,8,1,3]=>[2,3,5,4,7,1,8,6]=>[3,2,2,1]=>10010101=>6 [5,4,3,1,8,2,7,6]=>[4,5,6,8,1,7,2,3]=>[4,2,2]=>10001010=>5 [6,5,4,2,7,3,1,8]=>[3,4,5,7,2,6,8,1]=>[4,3,1]=>10001001=>4 [5,4,1,7,2,6,3,8]=>[4,5,8,2,7,3,6,1]=>[3,2,2,1]=>10010101=>6 [5,4,1,8,3,2,6,7]=>[4,5,8,1,6,7,3,2]=>[3,3,1,1]=>10010011=>4 [6,5,2,8,3,4,7,1]=>[3,4,7,1,6,5,2,8]=>[3,2,1,2]=>10010110=>5 [7,4,2,1,8,3,6,5]=>[2,5,7,8,1,6,3,4]=>[4,2,2]=>10001010=>5 [6,5,3,4,8,2,7,1]=>[3,4,6,5,1,7,2,8]=>[3,1,2,2]=>10011010=>5 [6,1,5,3,8,2,7,4]=>[3,8,4,6,1,7,2,5]=>[2,2,2,2]=>10101010=>7 [4,6,3,1,8,2,7,5]=>[5,3,6,8,1,7,2,4]=>[1,3,2,2]=>11001010=>5 [5,8,4,2,7,3,1,6]=>[4,1,5,7,2,6,8,3]=>[1,3,3,1]=>11001001=>4 [8,2,6,4,7,3,1,5]=>[1,7,3,5,2,6,8,4]=>[2,2,3,1]=>10101001=>6 [8,6,2,5,7,4,1,3]=>[1,3,7,4,2,5,8,6]=>[3,1,3,1]=>10011001=>4 [8,5,3,2,6,4,1,7]=>[1,4,6,7,3,5,8,2]=>[4,3,1]=>10001001=>4 [8,3,1,7,2,5,4,6]=>[1,6,8,2,7,4,5,3]=>[3,2,2,1]=>10010101=>6 [7,5,2,6,4,3,1,8]=>[2,4,7,3,5,6,8,1]=>[3,4,1]=>10010001=>4 [7,1,6,2,5,4,3,8]=>[2,8,3,7,4,5,6,1]=>[2,2,3,1]=>10101001=>6 [8,1,7,3,5,6,4,2]=>[1,8,2,6,4,3,5,7]=>[2,2,1,3]=>10101100=>5 [8,6,1,7,4,5,2,3]=>[1,3,8,2,5,4,7,6]=>[3,2,2,1]=>10010101=>6 [8,1,3,7,2,6,5,4]=>[1,8,6,2,7,3,4,5]=>[2,1,2,3]=>10110100=>5 [1,7,6,8,3,2,4,5]=>[8,2,3,1,6,7,5,4]=>[1,2,3,1,1]=>11010011=>4 [7,1,5,8,4,2,6,3]=>[2,8,4,1,5,7,3,6]=>[2,1,3,2]=>10110010=>5 [7,3,8,4,5,2,6,1]=>[2,6,1,5,4,7,3,8]=>[2,2,2,2]=>10101010=>7 [7,2,8,5,3,4,6,1]=>[2,7,1,4,6,5,3,8]=>[2,3,1,2]=>10100110=>5 [6,1,8,4,3,2,5,7]=>[3,8,1,5,6,7,4,2]=>[2,4,1,1]=>10100011=>4 [6,1,7,4,2,5,3,8]=>[3,8,2,5,7,4,6,1]=>[2,3,2,1]=>10100101=>6 [1,2,7,3,4,6,5,8]=>[8,7,2,6,5,3,4,1]=>[1,1,2,1,2,1]=>11101101=>4 [1,7,8,4,3,5,6,2]=>[8,2,1,5,6,4,3,7]=>[1,1,3,1,2]=>11100110=>3 [1,6,2,8,3,5,7,4]=>[8,3,7,1,6,4,2,5]=>[1,2,2,1,2]=>11010110=>5 [2,6,1,7,3,5,4,8]=>[7,3,8,2,6,4,5,1]=>[1,2,2,2,1]=>11010101=>6 [3,1,5,8,4,2,6,7]=>[6,8,4,1,5,7,3,2]=>[2,1,3,1,1]=>10110011=>4 [4,3,1,6,8,2,7,5]=>[5,6,8,3,1,7,2,4]=>[3,1,2,2]=>10011010=>5 [5,7,4,8,3,2,1,6]=>[4,2,5,1,6,7,8,3]=>[1,2,4,1]=>11010001=>4 [5,4,8,2,7,3,1,6]=>[4,5,1,7,2,6,8,3]=>[2,2,3,1]=>10101001=>6 [5,2,8,7,3,4,1,6]=>[4,7,1,2,6,5,8,3]=>[2,3,2,1]=>10100101=>6 [6,4,7,5,3,2,1,8]=>[3,5,2,4,6,7,8,1]=>[2,5,1]=>10100001=>4 [1,8,3,7,6,2,4,5]=>[8,1,6,2,3,7,5,4]=>[1,2,3,1,1]=>11010011=>4 [5,8,3,2,6,4,1,7]=>[4,1,6,7,3,5,8,2]=>[1,3,3,1]=>11001001=>4 [6,8,2,4,7,5,1,3]=>[3,1,7,5,2,4,8,6]=>[1,2,1,3,1]=>11011001=>4 [7,3,8,2,6,4,1,5]=>[2,6,1,7,3,5,8,4]=>[2,2,3,1]=>10101001=>6 [4,6,8,2,7,3,1,5]=>[5,3,1,7,2,6,8,4]=>[1,1,2,3,1]=>11101001=>4 [7,2,8,6,3,5,1,4]=>[2,7,1,3,6,4,8,5]=>[2,3,2,1]=>10100101=>6 [6,8,1,7,2,5,4,3]=>[3,1,8,2,7,4,5,6]=>[1,2,2,3]=>11010100=>5 [3,8,7,4,5,6,1,2]=>[6,1,2,5,4,3,8,7]=>[1,3,1,2,1]=>11001101=>4 [2,8,6,4,3,5,1,7]=>[7,1,3,5,6,4,8,2]=>[1,4,2,1]=>11000101=>4 [2,7,6,3,5,4,1,8]=>[7,2,3,6,4,5,8,1]=>[1,3,3,1]=>11001001=>4 [1,7,6,5,2,4,3,8]=>[8,2,3,4,7,5,6,1]=>[1,4,2,1]=>11000101=>4 [1,8,6,5,3,2,4,7]=>[8,1,3,4,6,7,5,2]=>[1,5,1,1]=>11000011=>2 [3,8,7,4,6,2,5,1]=>[6,1,2,5,3,7,4,8]=>[1,3,2,2]=>11001010=>5 [5,8,3,7,6,2,4,1]=>[4,1,6,2,3,7,5,8]=>[1,2,3,2]=>11010010=>5 [7,1,8,6,5,2,3,4]=>[2,8,1,3,4,7,6,5]=>[2,4,1,1]=>10100011=>4 [8,4,7,5,3,2,1,6]=>[1,5,2,4,6,7,8,3]=>[2,5,1]=>10100001=>4 [8,7,2,5,4,3,1,6]=>[1,2,7,4,5,6,8,3]=>[3,4,1]=>10010001=>4 [6,8,3,2,5,4,7,1]=>[3,1,6,7,4,5,2,8]=>[1,3,2,2]=>11001010=>5 [6,8,4,5,2,3,7,1]=>[3,1,5,4,7,6,2,8]=>[1,2,2,1,2]=>11010110=>5 [1,5,7,8,4,3,6,2]=>[8,4,2,1,5,6,3,7]=>[1,1,1,3,2]=>11110010=>3 [6,3,8,1,5,4,7,2]=>[3,6,1,8,4,5,2,7]=>[2,2,2,2]=>10101010=>7 [6,2,1,8,5,4,7,3]=>[3,7,8,1,4,5,2,6]=>[3,3,2]=>10010010=>5 [2,6,3,1,7,5,4,8]=>[7,3,6,8,2,4,5,1]=>[1,3,3,1]=>11001001=>4 [2,6,5,7,4,1,3,8]=>[7,3,4,2,5,8,6,1]=>[1,2,3,1,1]=>11010011=>4 [2,5,6,8,4,3,7,1]=>[7,4,3,1,5,6,2,8]=>[1,1,1,3,2]=>11110010=>3 [2,4,7,5,8,1,6,3]=>[7,5,2,4,1,8,3,6]=>[1,1,2,2,2]=>11101010=>5 [2,5,4,7,1,8,6,3]=>[7,4,5,2,8,1,3,6]=>[1,2,2,3]=>11010100=>5 [5,2,1,8,7,6,4,3]=>[4,7,8,1,2,3,5,6]=>[3,5]=>10010000=>3 [4,8,5,7,6,1,3,2]=>[5,1,4,2,3,8,6,7]=>[1,2,3,2]=>11010010=>5 [4,8,6,7,5,3,1,2]=>[5,1,3,2,4,6,8,7]=>[1,2,4,1]=>11010001=>4 [4,8,7,5,6,2,3,1]=>[5,1,2,4,3,7,6,8]=>[1,3,2,2]=>11001010=>5 [6,5,4,8,2,1,7,3]=>[3,4,5,1,7,8,2,6]=>[3,3,2]=>10010010=>5 [5,8,4,7,2,6,3,1]=>[4,1,5,2,7,3,6,8]=>[1,2,2,3]=>11010100=>5 [1,5,7,4,8,2,6,3]=>[8,4,2,5,1,7,3,6]=>[1,1,2,2,2]=>11101010=>5 [1,5,7,3,2,8,6,4]=>[8,4,2,6,7,1,3,5]=>[1,1,3,3]=>11100100=>3 [5,8,3,2,7,6,4,1]=>[4,1,6,7,2,3,5,8]=>[1,3,4]=>11001000=>3 [5,2,1,4,3,6,7,8]=>[4,7,8,5,6,3,2,1]=>[3,2,1,1,1]=>10010111=>4 [3,5,7,4,2,6,1,8]=>[6,4,2,5,7,3,8,1]=>[1,1,3,2,1]=>11100101=>4 [3,6,4,5,1,2,7,8]=>[6,3,5,4,8,7,2,1]=>[1,2,2,1,1,1]=>11010111=>4 [4,2,1,6,5,3,7,8]=>[5,7,8,3,4,6,2,1]=>[3,3,1,1]=>10010011=>4 [4,2,1,5,7,6,3,8]=>[5,7,8,4,2,3,6,1]=>[3,1,3,1]=>10011001=>4 [4,3,5,1,7,6,2,8]=>[5,6,4,8,2,3,7,1]=>[2,2,3,1]=>10101001=>6 [3,5,4,7,1,6,2,8]=>[6,4,5,2,8,3,7,1]=>[1,2,2,2,1]=>11010101=>6 [3,4,7,5,6,1,2,8]=>[6,5,2,4,3,8,7,1]=>[1,1,2,2,1,1]=>11101011=>4 [3,4,5,8,6,7,1,2]=>[6,5,4,1,3,2,8,7]=>[1,1,1,2,2,1]=>11110101=>4 [3,5,4,6,1,8,7,2]=>[6,4,5,3,8,1,2,7]=>[1,2,2,3]=>11010100=>5 [4,3,5,1,6,8,7,2]=>[5,6,4,8,3,1,2,7]=>[2,2,1,3]=>10101100=>5 [4,2,1,5,6,8,7,3]=>[5,7,8,4,3,1,2,6]=>[3,1,1,3]=>10011100=>3 [7,6,5,4,3,2,9,1,8]=>[3,4,5,6,7,8,1,9,2]=>[6,2,1]=>100000101=>4 [6,5,4,3,9,2,8,1,7]=>[4,5,6,7,1,8,2,9,3]=>[4,2,2,1]=>100010101=>6 [6,5,4,3,2,8,1,7,9]=>[4,5,6,7,8,2,9,3,1]=>[5,2,1,1]=>100001011=>4 [5,4,9,3,8,2,7,1,6]=>[5,6,1,7,2,8,3,9,4]=>[2,2,2,2,1]=>101010101=>8 [5,4,3,8,2,7,1,6,9]=>[5,6,7,2,8,3,9,4,1]=>[3,2,2,1,1]=>100101011=>6 [5,4,3,2,7,9,1,6,8]=>[5,6,7,8,3,1,9,4,2]=>[4,1,2,1,1]=>100011011=>4 [5,4,3,2,7,1,6,8,9]=>[5,6,7,8,3,9,4,2,1]=>[4,2,1,1,1]=>100010111=>4 [4,8,3,7,2,6,1,5,9]=>[6,2,7,3,8,4,9,5,1]=>[1,2,2,2,1,1]=>110101011=>6 [4,3,7,2,6,9,1,5,8]=>[6,7,3,8,4,1,9,5,2]=>[2,2,1,2,1,1]=>101011011=>6 [4,3,7,2,6,1,5,8,9]=>[6,7,3,8,4,9,5,2,1]=>[2,2,2,1,1,1]=>101010111=>6 [4,3,2,6,8,1,5,7,9]=>[6,7,8,4,2,9,5,3,1]=>[3,1,2,1,1,1]=>100110111=>4 [4,3,2,6,1,5,7,8,9]=>[6,7,8,4,9,5,3,2,1]=>[3,2,1,1,1,1]=>100101111=>4 [3,6,9,2,5,8,1,4,7]=>[7,4,1,8,5,2,9,6,3]=>[1,1,2,1,2,1,1]=>111011011=>4 [3,6,2,5,8,1,4,7,9]=>[7,4,8,5,2,9,6,3,1]=>[1,2,1,2,1,1,1]=>110110111=>4 [3,6,2,5,1,4,7,8,9]=>[7,4,8,5,9,6,3,2,1]=>[1,2,2,1,1,1,1]=>110101111=>4 [3,2,5,7,9,1,4,6,8]=>[7,8,5,3,1,9,6,4,2]=>[2,1,1,2,1,1,1]=>101110111=>4 [3,2,5,7,1,4,6,8,9]=>[7,8,5,3,9,6,4,2,1]=>[2,1,2,1,1,1,1]=>101101111=>4 [3,2,5,1,4,6,7,8,9]=>[7,8,5,9,6,4,3,2,1]=>[2,2,1,1,1,1,1]=>101011111=>4 [2,4,6,8,1,3,5,7,9]=>[8,6,4,2,9,7,5,3,1]=>[1,1,1,2,1,1,1,1]=>111101111=>2 [2,4,6,1,3,5,7,8,9]=>[8,6,4,9,7,5,3,2,1]=>[1,1,2,1,1,1,1,1]=>111011111=>2 [2,1,7,3,8,4,6,5]=>[7,8,2,6,1,5,3,4]=>[2,2,2,2]=>10101010=>7 [4,1,8,2,7,3,6,5]=>[5,8,1,7,2,6,3,4]=>[2,2,2,2]=>10101010=>7 [4,1,7,2,8,3,6,5]=>[5,8,2,7,1,6,3,4]=>[2,2,2,2]=>10101010=>7 [7,1,3,2,8,4,6,5]=>[2,8,6,7,1,5,3,4]=>[2,2,2,2]=>10101010=>7 [7,1,8,2,4,3,6,5]=>[2,8,1,7,5,6,3,4]=>[2,2,2,2]=>10101010=>7 [8,1,7,2,5,3,6,4]=>[1,8,2,7,4,6,3,5]=>[2,2,2,2]=>10101010=>7 [7,1,5,2,8,3,6,4]=>[2,8,4,7,1,6,3,5]=>[2,2,2,2]=>10101010=>7 [5,1,7,2,8,3,6,4]=>[4,8,2,7,1,6,3,5]=>[2,2,2,2]=>10101010=>7 [5,1,8,2,7,3,6,4]=>[4,8,1,7,2,6,3,5]=>[2,2,2,2]=>10101010=>7 [5,1,8,2,4,3,7,6]=>[4,8,1,7,5,6,2,3]=>[2,2,2,2]=>10101010=>7 [8,1,6,2,4,3,7,5]=>[1,8,3,7,5,6,2,4]=>[2,2,2,2]=>10101010=>7 [6,1,8,2,4,3,7,5]=>[3,8,1,7,5,6,2,4]=>[2,2,2,2]=>10101010=>7 [6,1,8,2,5,3,7,4]=>[3,8,1,7,4,6,2,5]=>[2,2,2,2]=>10101010=>7 [8,1,6,2,5,3,7,4]=>[1,8,3,7,4,6,2,5]=>[2,2,2,2]=>10101010=>7 [8,1,6,2,7,3,5,4]=>[1,8,3,7,2,6,4,5]=>[2,2,2,2]=>10101010=>7 [6,1,8,2,7,3,5,4]=>[3,8,1,7,2,6,4,5]=>[2,2,2,2]=>10101010=>7 [6,1,7,2,8,3,5,4]=>[3,8,2,7,1,6,4,5]=>[2,2,2,2]=>10101010=>7 [6,1,7,2,5,3,8,4]=>[3,8,2,7,4,6,1,5]=>[2,2,2,2]=>10101010=>7 [6,1,7,2,4,3,8,5]=>[3,8,2,7,5,6,1,4]=>[2,2,2,2]=>10101010=>7 [5,1,6,2,4,3,8,7]=>[4,8,3,7,5,6,1,2]=>[2,2,2,2]=>10101010=>7 [7,1,5,2,4,3,8,6]=>[2,8,4,7,5,6,1,3]=>[2,2,2,2]=>10101010=>7 [7,1,6,2,4,3,8,5]=>[2,8,3,7,5,6,1,4]=>[2,2,2,2]=>10101010=>7 [7,1,6,2,5,3,8,4]=>[2,8,3,7,4,6,1,5]=>[2,2,2,2]=>10101010=>7 [7,1,6,2,8,3,5,4]=>[2,8,3,7,1,6,4,5]=>[2,2,2,2]=>10101010=>7 [7,1,8,2,6,3,5,4]=>[2,8,1,7,3,6,4,5]=>[2,2,2,2]=>10101010=>7 [1,8,2,7,5,4,6,3]=>[8,1,7,2,4,5,3,6]=>[1,2,3,2]=>11010010=>5 [1,8,2,7,4,3,5,6]=>[8,1,7,2,5,6,4,3]=>[1,2,3,1,1]=>11010011=>4 [1,8,6,4,7,2,3,5]=>[8,1,3,5,2,7,6,4]=>[1,3,2,1,1]=>11001011=>4 [1,8,4,2,6,3,5,7]=>[8,1,5,7,3,6,4,2]=>[1,3,2,1,1]=>11001011=>4 [7,4,8,1,5,2,3,6]=>[2,5,1,8,4,7,6,3]=>[2,2,2,1,1]=>10101011=>6 [4,1,7,2,6,3,5,8]=>[5,8,2,7,3,6,4,1]=>[2,2,2,1,1]=>10101011=>6 [5,1,7,4,3,6,2,8]=>[4,8,2,5,6,3,7,1]=>[2,3,2,1]=>10100101=>6 [7,5,8,3,2,4,1,6]=>[2,4,1,6,7,5,8,3]=>[2,3,2,1]=>10100101=>6 [1,8,5,4,3,6,2,7]=>[8,1,4,5,6,3,7,2]=>[1,4,2,1]=>11000101=>4 [1,8,5,4,3,7,2,6]=>[8,1,4,5,6,2,7,3]=>[1,4,2,1]=>11000101=>4 [1,8,5,4,7,2,6,3]=>[8,1,4,5,2,7,3,6]=>[1,3,2,2]=>11001010=>5 [1,8,5,4,2,6,7,3]=>[8,1,4,5,7,3,2,6]=>[1,4,1,2]=>11000110=>3 [7,4,8,2,1,3,5,6]=>[2,5,1,7,8,6,4,3]=>[2,3,1,1,1]=>10100111=>4 [4,1,7,3,2,5,6,8]=>[5,8,2,6,7,4,3,1]=>[2,3,1,1,1]=>10100111=>4 [7,5,4,8,2,3,6,1]=>[2,4,5,1,7,6,3,8]=>[3,2,1,2]=>10010110=>5 [6,4,8,2,1,3,7,5]=>[3,5,1,7,8,6,2,4]=>[2,3,1,2]=>10100110=>5 [7,3,8,1,5,6,2,4]=>[2,6,1,8,4,3,7,5]=>[2,2,1,2,1]=>10101101=>6 [3,1,7,2,6,8,4,5]=>[6,8,2,7,3,1,5,4]=>[2,2,1,2,1]=>10101101=>6 [5,1,7,4,2,6,8,3]=>[4,8,2,5,7,3,1,6]=>[2,3,1,2]=>10100110=>5 [4,1,6,3,2,5,8,7]=>[5,8,3,6,7,4,1,2]=>[2,3,1,2]=>10100110=>5 [5,4,3,7,1,2,8,6]=>[4,5,6,2,8,7,1,3]=>[3,2,1,2]=>10010110=>5 [4,3,1,6,2,5,7,8]=>[5,6,8,3,7,4,2,1]=>[3,2,1,1,1]=>10010111=>4 [6,5,4,3,7,1,8,2]=>[3,4,5,6,2,8,1,7]=>[4,2,2]=>10001010=>5 [5,4,2,7,1,6,8,3]=>[4,5,7,2,8,3,1,6]=>[3,2,1,2]=>10010110=>5 [6,5,1,7,3,8,2,4]=>[3,4,8,2,6,1,7,5]=>[3,2,2,1]=>10010101=>6 [6,3,2,8,5,7,1,4]=>[3,6,7,1,4,2,8,5]=>[3,2,2,1]=>10010101=>6 [6,5,4,3,8,2,7,1]=>[3,4,5,6,1,7,2,8]=>[4,2,2]=>10001010=>5 [6,5,4,3,8,7,1,2]=>[3,4,5,6,1,2,8,7]=>[4,3,1]=>10001001=>4 [7,6,3,8,5,4,1,2]=>[2,3,6,1,4,5,8,7]=>[3,4,1]=>10010001=>4 [6,3,8,1,7,5,2,4]=>[3,6,1,8,2,4,7,5]=>[2,2,3,1]=>10101001=>6 [6,5,8,3,1,7,4,2]=>[3,4,1,6,8,2,5,7]=>[2,3,3]=>10100100=>5 [5,4,8,2,1,7,3,6]=>[4,5,1,7,8,2,6,3]=>[2,3,2,1]=>10100101=>6 [5,4,3,7,1,6,2,8]=>[4,5,6,2,8,3,7,1]=>[3,2,2,1]=>10010101=>6 [6,4,2,8,5,1,3,7]=>[3,5,7,1,4,8,6,2]=>[3,3,1,1]=>10010011=>4 [7,6,4,8,5,1,2,3]=>[2,3,5,1,4,8,7,6]=>[3,3,1,1]=>10010011=>4 [7,2,8,6,3,1,4,5]=>[2,7,1,3,6,8,5,4]=>[2,4,1,1]=>10100011=>4 [7,2,8,6,1,5,3,4]=>[2,7,1,3,8,4,6,5]=>[2,3,2,1]=>10100101=>6 [2,1,7,8,3,6,4,5]=>[7,8,2,1,6,3,5,4]=>[2,1,2,2,1]=>10110101=>6 [6,4,1,7,8,2,3,5]=>[3,5,8,2,1,7,6,4]=>[3,1,2,1,1]=>10011011=>4 [5,4,2,7,3,8,1,6]=>[4,5,7,2,6,1,8,3]=>[3,2,2,1]=>10010101=>6 [3,1,6,2,8,7,4,5]=>[6,8,3,7,1,2,5,4]=>[2,2,3,1]=>10101001=>6 [5,4,1,7,8,2,6,3]=>[4,5,8,2,1,7,3,6]=>[3,1,2,2]=>10011010=>5 [5,4,2,6,1,8,7,3]=>[4,5,7,3,8,1,2,6]=>[3,2,3]=>10010100=>5 [6,5,4,1,7,8,3,2]=>[3,4,5,8,2,1,6,7]=>[4,1,3]=>10001100=>3 [5,4,2,6,3,8,7,1]=>[4,5,7,3,6,1,2,8]=>[3,2,3]=>10010100=>5 [4,3,1,5,2,6,8,7]=>[5,6,8,4,7,3,1,2]=>[3,2,1,2]=>10010110=>5 [5,4,2,1,6,7,8,3]=>[4,5,7,8,3,2,1,6]=>[4,1,1,2]=>10001110=>3 [5,4,3,1,6,7,8,2]=>[4,5,6,8,3,2,1,7]=>[4,1,1,2]=>10001110=>3 [6,3,8,1,2,5,7,4]=>[3,6,1,8,7,4,2,5]=>[2,2,1,1,2]=>10101110=>5 [3,6,7,1,2,5,8,4]=>[6,3,2,8,7,4,1,5]=>[1,1,2,1,1,2]=>11101110=>3 [7,8,3,1,2,5,6,4]=>[2,1,6,8,7,4,3,5]=>[1,3,1,1,2]=>11001110=>3 [7,8,1,3,2,4,6,5]=>[2,1,8,6,7,5,3,4]=>[1,2,2,1,2]=>11010110=>5 [7,8,2,1,3,5,4,6]=>[2,1,7,8,6,4,5,3]=>[1,3,1,2,1]=>11001101=>4 [5,2,3,7,1,8,6,4]=>[4,7,6,2,8,1,3,5]=>[2,1,2,3]=>10110100=>5 [2,5,3,6,1,8,7,4]=>[7,4,6,3,8,1,2,5]=>[1,2,2,3]=>11010100=>5 [2,6,7,3,1,8,4,5]=>[7,3,2,6,8,1,5,4]=>[1,1,3,2,1]=>11100101=>4 [2,6,7,1,3,5,4,8]=>[7,3,2,8,6,4,5,1]=>[1,1,2,1,2,1]=>11101101=>4 [6,2,8,3,1,7,4,5]=>[3,7,1,6,8,2,5,4]=>[2,3,2,1]=>10100101=>6 [3,2,5,7,1,8,4,6]=>[6,7,4,2,8,1,5,3]=>[2,1,2,2,1]=>10110101=>6 [4,3,1,2,7,8,6,5]=>[5,6,8,7,2,1,3,4]=>[3,1,1,3]=>10011100=>3 [5,1,2,7,3,6,4,8]=>[4,8,7,2,6,3,5,1]=>[2,1,2,2,1]=>10110101=>6 [5,1,4,7,8,2,3,6]=>[4,8,5,2,1,7,6,3]=>[2,1,1,2,1,1]=>10111011=>4 [5,3,4,7,8,6,1,2]=>[4,6,5,2,1,3,8,7]=>[2,1,1,3,1]=>10111001=>4 [3,5,4,6,8,7,1,2]=>[6,4,5,3,1,2,8,7]=>[1,2,1,3,1]=>11011001=>4 [1,5,4,6,8,2,3,7]=>[8,4,5,3,1,7,6,2]=>[1,2,1,2,1,1]=>11011011=>4 [1,6,7,3,2,4,8,5]=>[8,3,2,6,7,5,1,4]=>[1,1,3,1,2]=>11100110=>3 [1,5,3,6,2,7,8,4]=>[8,4,6,3,7,2,1,5]=>[1,2,2,1,2]=>11010110=>5 [5,1,3,7,2,6,8,4]=>[4,8,6,2,7,3,1,5]=>[2,1,2,1,2]=>10110110=>5 [5,2,4,7,8,1,6,3]=>[4,7,5,2,1,8,3,6]=>[2,1,1,2,2]=>10111010=>5 [4,2,5,7,6,1,8,3]=>[5,7,4,2,3,8,1,6]=>[2,1,3,2]=>10110010=>5 [4,5,2,8,6,1,7,3]=>[5,4,7,1,3,8,2,6]=>[1,2,3,2]=>11010010=>5 [5,3,1,8,2,6,7,4]=>[4,6,8,1,7,3,2,5]=>[3,2,1,2]=>10010110=>5 [6,1,8,3,2,4,7,5]=>[3,8,1,6,7,5,2,4]=>[2,3,1,2]=>10100110=>5 [4,3,5,7,6,8,1,2]=>[5,6,4,2,3,1,8,7]=>[2,1,2,2,1]=>10110101=>6 [4,1,5,7,6,2,3,8]=>[5,8,4,2,3,7,6,1]=>[2,1,3,1,1]=>10110011=>4 [4,5,1,8,6,2,3,7]=>[5,4,8,1,3,7,6,2]=>[1,2,3,1,1]=>11010011=>4 [5,2,1,8,3,6,4,7]=>[4,7,8,1,6,3,5,2]=>[3,2,2,1]=>10010101=>6 [3,4,2,1,8,7,5,6]=>[6,5,7,8,1,2,4,3]=>[1,3,3,1]=>11001001=>4 [7,6,5,4,2,1,8,3]=>[2,3,4,5,7,8,1,6]=>[6,2]=>10000010=>3 [7,6,5,4,8,1,3,2]=>[2,3,4,5,1,8,6,7]=>[4,2,2]=>10001010=>5 [8,7,6,5,4,2,1,9,3]=>[2,3,4,5,6,8,9,1,7]=>[7,2]=>100000010=>3 [7,6,5,8,2,1,4,3]=>[2,3,4,1,7,8,5,6]=>[3,3,2]=>10010010=>5 [8,5,4,3,2,1,7,6]=>[1,4,5,6,7,8,2,3]=>[6,2]=>10000010=>3 [8,6,5,4,3,2,1,9,7]=>[2,4,5,6,7,8,9,1,3]=>[7,2]=>100000010=>3 [7,6,5,4,3,2,1,9,8]=>[3,4,5,6,7,8,9,1,2]=>[7,2]=>100000010=>3 [7,6,5,4,1,8,3,2]=>[2,3,4,5,8,1,6,7]=>[5,3]=>10000100=>3 [8,7,6,5,4,9,1,3,2]=>[2,3,4,5,6,1,9,7,8]=>[5,2,2]=>100001010=>5 [7,6,5,2,8,1,4,3]=>[2,3,4,7,1,8,5,6]=>[4,2,2]=>10001010=>5 [7,6,5,8,4,1,3,2]=>[2,3,4,1,5,8,6,7]=>[3,3,2]=>10010010=>5 [7,6,8,5,2,1,4,3]=>[2,3,1,4,7,8,5,6]=>[2,4,2]=>10100010=>5 [7,8,6,3,2,1,5,4]=>[2,1,3,6,7,8,4,5]=>[1,5,2]=>11000010=>3 [8,7,4,3,2,1,6,5]=>[1,2,5,6,7,8,3,4]=>[6,2]=>10000010=>3 [9,6,5,4,3,2,1,8,7]=>[1,4,5,6,7,8,9,2,3]=>[7,2]=>100000010=>3 [7,8,2,4,5,1,3,6]=>[2,1,7,5,4,8,6,3]=>[1,2,1,2,1,1]=>11011011=>4 [4,6,7,2,5,1,3,8]=>[5,3,2,7,4,8,6,1]=>[1,1,2,2,1,1]=>11101011=>4 [7,8,1,3,2,4,5,6]=>[2,1,8,6,7,5,4,3]=>[1,2,2,1,1,1]=>11010111=>4 [7,8,4,1,5,2,3,6]=>[2,1,5,8,4,7,6,3]=>[1,3,2,1,1]=>11001011=>4 [3,6,7,2,1,4,5,8]=>[6,3,2,7,8,5,4,1]=>[1,1,3,1,1,1]=>11100111=>2 [5,2,3,6,1,4,7,8]=>[4,7,6,3,8,5,2,1]=>[2,1,2,1,1,1]=>10110111=>4 [2,5,3,6,1,4,7,8]=>[7,4,6,3,8,5,2,1]=>[1,2,2,1,1,1]=>11010111=>4 [2,6,7,3,1,4,5,8]=>[7,3,2,6,8,5,4,1]=>[1,1,3,1,1,1]=>11100111=>2 [4,6,7,1,5,2,3,8]=>[5,3,2,8,4,7,6,1]=>[1,1,2,2,1,1]=>11101011=>4 [4,6,7,3,5,8,1,2]=>[5,3,2,6,4,1,8,7]=>[1,1,2,1,2,1]=>11101101=>4 [6,4,7,1,5,2,3,8]=>[3,5,2,8,4,7,6,1]=>[2,2,2,1,1]=>10101011=>6 [6,2,7,3,1,4,5,8]=>[3,7,2,6,8,5,4,1]=>[2,3,1,1,1]=>10100111=>4 [3,2,5,6,1,4,7,8]=>[6,7,4,3,8,5,2,1]=>[2,1,2,1,1,1]=>10110111=>4 [3,5,2,6,1,4,7,8]=>[6,4,7,3,8,5,2,1]=>[1,2,2,1,1,1]=>11010111=>4 [5,1,4,6,7,2,3,8]=>[4,8,5,3,2,7,6,1]=>[2,1,1,2,1,1]=>10111011=>4 [3,5,4,6,7,8,1,2]=>[6,4,5,3,2,1,8,7]=>[1,2,1,1,2,1]=>11011101=>4 [1,5,4,6,7,2,3,8]=>[8,4,5,3,2,7,6,1]=>[1,2,1,2,1,1]=>11011011=>4 [1,6,7,3,2,4,5,8]=>[8,3,2,6,7,5,4,1]=>[1,1,3,1,1,1]=>11100111=>2 [1,5,3,6,2,4,7,8]=>[8,4,6,3,7,5,2,1]=>[1,2,2,1,1,1]=>11010111=>4 [5,1,3,6,2,4,7,8]=>[4,8,6,3,7,5,2,1]=>[2,1,2,1,1,1]=>10110111=>4 [5,2,4,6,7,1,3,8]=>[4,7,5,3,2,8,6,1]=>[2,1,1,2,1,1]=>10111011=>4 [2,5,4,6,7,1,3,8]=>[7,4,5,3,2,8,6,1]=>[1,2,1,2,1,1]=>11011011=>4 [2,6,7,4,5,1,3,8]=>[7,3,2,5,4,8,6,1]=>[1,1,2,2,1,1]=>11101011=>4 [6,2,7,4,5,1,3,8]=>[3,7,2,5,4,8,6,1]=>[2,2,2,1,1]=>10101011=>6 [4,2,5,6,7,1,3,8]=>[5,7,4,3,2,8,6,1]=>[2,1,1,2,1,1]=>10111011=>4 [4,5,2,6,7,1,3,8]=>[5,4,7,3,2,8,6,1]=>[1,2,1,2,1,1]=>11011011=>4 [5,3,1,6,2,4,7,8]=>[4,6,8,3,7,5,2,1]=>[3,2,1,1,1]=>10010111=>4 [6,1,7,3,2,4,5,8]=>[3,8,2,6,7,5,4,1]=>[2,3,1,1,1]=>10100111=>4 [6,1,7,4,5,2,3,8]=>[3,8,2,5,4,7,6,1]=>[2,2,2,1,1]=>10101011=>6 [6,3,7,4,5,8,1,2]=>[3,6,2,5,4,1,8,7]=>[2,2,1,2,1]=>10101101=>6 [5,4,1,6,7,2,3,8]=>[4,5,8,3,2,7,6,1]=>[3,1,2,1,1]=>10011011=>4 [5,2,1,6,3,4,7,8]=>[4,7,8,3,6,5,2,1]=>[3,2,1,1,1]=>10010111=>4 [7,3,2,5,4,1,6,8]=>[2,6,7,4,5,8,3,1]=>[3,3,1,1]=>10010011=>4 [7,3,5,4,2,1,6,8]=>[2,6,4,5,7,8,3,1]=>[2,4,1,1]=>10100011=>4 [7,3,5,2,4,1,6,8]=>[2,6,4,7,5,8,3,1]=>[2,2,2,1,1]=>10101011=>6 [7,6,5,2,1,4,3,8]=>[2,3,4,7,8,5,6,1]=>[5,2,1]=>10000101=>4 [1,3,6,7,5,2,8,4]=>[8,6,3,2,4,7,1,5]=>[1,1,1,3,2]=>11110010=>3 [7,3,4,1,6,2,5,8]=>[2,6,5,8,3,7,4,1]=>[2,2,2,1,1]=>10101011=>6 [7,3,4,1,6,5,2,8]=>[2,6,5,8,3,4,7,1]=>[2,2,3,1]=>10101001=>6 [7,3,4,1,5,6,2,8]=>[2,6,5,8,4,3,7,1]=>[2,2,1,2,1]=>10101101=>6 [7,3,2,5,1,6,4,8]=>[2,6,7,4,8,3,5,1]=>[3,2,2,1]=>10010101=>6 [7,6,5,4,1,3,2,8]=>[2,3,4,5,8,6,7,1]=>[5,2,1]=>10000101=>4 [7,3,4,1,5,2,6,8]=>[2,6,5,8,4,7,3,1]=>[2,2,2,1,1]=>10101011=>6 [1,3,6,7,2,5,8,4]=>[8,6,3,2,7,4,1,5]=>[1,1,1,2,1,2]=>11110110=>3 [1,7,4,6,2,8,5,3]=>[8,2,5,3,7,1,4,6]=>[1,2,2,3]=>11010100=>5 [4,3,1,7,2,6,8,5]=>[5,6,8,2,7,3,1,4]=>[3,2,1,2]=>10010110=>5 [5,6,1,4,7,3,8,2]=>[4,3,8,5,2,6,1,7]=>[1,2,1,2,2]=>11011010=>5 [5,3,2,1,7,4,8,6]=>[4,6,7,8,2,5,1,3]=>[4,2,2]=>10001010=>5 [1,3,4,5,8,7,2,6]=>[8,6,5,4,1,2,7,3]=>[1,1,1,1,3,1]=>11111001=>2 [6,3,4,5,8,1,7,2]=>[3,6,5,4,1,8,2,7]=>[2,1,1,2,2]=>10111010=>5 [2,4,5,1,6,8,7,3]=>[7,5,4,8,3,1,2,6]=>[1,1,2,1,3]=>11101100=>3 [3,1,2,5,6,8,7,4]=>[6,8,7,4,3,1,2,5]=>[2,1,1,1,3]=>10111100=>3 [4,3,2,5,6,8,1,7]=>[5,6,7,4,3,1,8,2]=>[3,1,1,2,1]=>10011101=>4 [3,7,5,4,6,8,1,2]=>[6,2,4,5,3,1,8,7]=>[1,3,1,2,1]=>11001101=>4 [3,1,4,6,5,8,2,7]=>[6,8,5,3,4,1,7,2]=>[2,1,2,2,1]=>10110101=>6 [2,3,4,5,8,6,1,7]=>[7,6,5,4,1,3,8,2]=>[1,1,1,1,3,1]=>11111001=>2 [2,3,4,5,8,1,7,6]=>[7,6,5,4,1,8,2,3]=>[1,1,1,1,2,2]=>11111010=>3 [3,1,4,6,5,8,7,2]=>[6,8,5,3,4,1,2,7]=>[2,1,2,3]=>10110100=>5 [3,7,5,4,6,8,2,1]=>[6,2,4,5,3,1,7,8]=>[1,3,1,3]=>11001100=>3 [5,6,1,4,7,2,8,3]=>[4,3,8,5,2,7,1,6]=>[1,2,1,2,2]=>11011010=>5 [4,3,1,7,5,6,8,2]=>[5,6,8,2,4,3,1,7]=>[3,2,1,2]=>10010110=>5 [4,3,1,7,6,5,8,2]=>[5,6,8,2,3,4,1,7]=>[3,3,2]=>10010010=>5 [3,1,4,6,7,8,5,2]=>[6,8,5,3,2,1,4,7]=>[2,1,1,1,3]=>10111100=>3 [1,4,5,2,6,8,7,3]=>[8,5,4,7,3,1,2,6]=>[1,1,2,1,3]=>11101100=>3 [3,7,5,2,6,8,1,4]=>[6,2,4,7,3,1,8,5]=>[1,3,1,2,1]=>11001101=>4 [3,7,5,2,6,8,4,1]=>[6,2,4,7,3,1,5,8]=>[1,3,1,3]=>11001100=>3 [5,6,1,2,7,4,8,3]=>[4,3,8,7,2,5,1,6]=>[1,2,1,2,2]=>11011010=>5 [6,3,5,2,4,7,8,1]=>[3,6,4,7,5,2,1,8]=>[2,2,1,1,2]=>10101110=>5 [5,3,2,1,4,7,8,6]=>[4,6,7,8,5,2,1,3]=>[4,1,1,2]=>10001110=>3 [5,3,1,4,2,7,8,6]=>[4,6,8,5,7,2,1,3]=>[3,2,1,2]=>10010110=>5 [5,3,1,2,4,7,8,6]=>[4,6,8,7,5,2,1,3]=>[3,1,1,1,2]=>10011110=>3 [7,1,5,2,6,8,4,3]=>[2,8,4,7,3,1,5,6]=>[2,2,1,3]=>10101100=>5 [7,1,5,2,6,8,3,4]=>[2,8,4,7,3,1,6,5]=>[2,2,1,2,1]=>10101101=>6 [1,7,4,6,5,8,3,2]=>[8,2,5,3,4,1,6,7]=>[1,2,2,3]=>11010100=>5 [2,7,4,6,1,8,3,5]=>[7,2,5,3,8,1,6,4]=>[1,2,2,2,1]=>11010101=>6 [2,7,4,6,1,8,5,3]=>[7,2,5,3,8,1,4,6]=>[1,2,2,3]=>11010100=>5 [2,3,6,7,1,5,8,4]=>[7,6,3,2,8,4,1,5]=>[1,1,1,2,1,2]=>11110110=>3 [2,3,6,7,5,1,8,4]=>[7,6,3,2,4,8,1,5]=>[1,1,1,3,2]=>11110010=>3 [4,3,2,6,7,1,8,5]=>[5,6,7,3,2,8,1,4]=>[3,1,2,2]=>10011010=>5 [7,3,2,5,6,8,1,4]=>[2,6,7,4,3,1,8,5]=>[3,1,1,2,1]=>10011101=>4 [7,1,5,4,6,8,2,3]=>[2,8,4,5,3,1,7,6]=>[2,2,1,2,1]=>10101101=>6 [2,7,4,6,5,8,1,3]=>[7,2,5,3,4,1,8,6]=>[1,2,2,2,1]=>11010101=>6 [7,3,4,5,8,6,1,2]=>[2,6,5,4,1,3,8,7]=>[2,1,1,3,1]=>10111001=>4 [7,3,4,5,8,1,6,2]=>[2,6,5,4,1,8,3,7]=>[2,1,1,2,2]=>10111010=>5 [7,3,4,5,8,1,2,6]=>[2,6,5,4,1,8,7,3]=>[2,1,1,2,1,1]=>10111011=>4 [1,3,4,5,8,6,2,7]=>[8,6,5,4,1,3,7,2]=>[1,1,1,1,3,1]=>11111001=>2 [1,3,4,5,8,2,7,6]=>[8,6,5,4,1,7,2,3]=>[1,1,1,1,2,2]=>11111010=>3 [6,3,4,5,8,2,1,7]=>[3,6,5,4,1,7,8,2]=>[2,1,1,3,1]=>10111001=>4 [6,3,4,5,8,2,7,1]=>[3,6,5,4,1,7,2,8]=>[2,1,1,2,2]=>10111010=>5 [7,3,4,5,8,6,2,1]=>[2,6,5,4,1,3,7,8]=>[2,1,1,4]=>10111000=>3 [2,7,4,6,5,8,3,1]=>[7,2,5,3,4,1,6,8]=>[1,2,2,3]=>11010100=>5 [7,1,5,4,6,8,3,2]=>[2,8,4,5,3,1,6,7]=>[2,2,1,3]=>10101100=>5 [7,3,2,5,6,8,4,1]=>[2,6,7,4,3,1,5,8]=>[3,1,1,3]=>10011100=>3 [5,7,4,6,1,8,3,2]=>[4,2,5,3,8,1,6,7]=>[1,2,2,3]=>11010100=>5 [6,3,4,5,8,1,2,7]=>[3,6,5,4,1,8,7,2]=>[2,1,1,2,1,1]=>10111011=>4 [7,3,4,5,8,2,1,6]=>[2,6,5,4,1,7,8,3]=>[2,1,1,3,1]=>10111001=>4 [7,3,4,5,8,2,6,1]=>[2,6,5,4,1,7,3,8]=>[2,1,1,2,2]=>10111010=>5 [4,7,6,1,8,2,5,3]=>[5,2,3,8,1,7,4,6]=>[1,3,2,2]=>11001010=>5 [4,8,6,1,7,5,2,3]=>[5,1,3,8,2,4,7,6]=>[1,3,3,1]=>11001001=>4 [4,7,8,2,6,1,5,3]=>[5,2,1,7,3,8,4,6]=>[1,1,2,2,2]=>11101010=>5 [7,6,4,2,8,3,5,1]=>[2,3,5,7,1,6,4,8]=>[4,2,2]=>10001010=>5 [8,6,4,2,7,5,3,1]=>[1,3,5,7,2,4,6,8]=>[4,4]=>10001000=>3 [8,4,7,3,6,5,1,2]=>[1,5,2,6,3,4,8,7]=>[2,2,3,1]=>10101001=>6 [8,4,6,1,7,5,3,2]=>[1,5,3,8,2,4,6,7]=>[2,2,4]=>10101000=>5 [6,4,7,1,8,3,2,5]=>[3,5,2,8,1,6,7,4]=>[2,2,3,1]=>10101001=>6 [7,4,8,3,6,1,5,2]=>[2,5,1,6,3,8,4,7]=>[2,2,2,2]=>10101010=>7 [7,8,4,3,6,2,5,1]=>[2,1,5,6,3,7,4,8]=>[1,3,2,2]=>11001010=>5 [6,2,1,7,3,5,4,8]=>[3,7,8,2,6,4,5,1]=>[3,2,2,1]=>10010101=>6 [2,1,8,6,3,5,4,7]=>[7,8,1,3,6,4,5,2]=>[2,3,2,1]=>10100101=>6 [2,1,7,3,5,8,6,4]=>[7,8,2,6,4,1,3,5]=>[2,2,1,3]=>10101100=>5 [2,7,3,1,5,4,6,8]=>[7,2,6,8,4,5,3,1]=>[1,3,2,1,1]=>11001011=>4 [2,6,3,1,4,8,5,7]=>[7,3,6,8,5,1,4,2]=>[1,3,1,2,1]=>11001101=>4 [2,1,8,6,3,5,7,4]=>[7,8,1,3,6,4,2,5]=>[2,3,1,2]=>10100110=>5 [6,2,1,7,3,5,8,4]=>[3,7,8,2,6,4,1,5]=>[3,2,1,2]=>10010110=>5 [3,2,1,6,4,5,7,8]=>[6,7,8,3,5,4,2,1]=>[3,2,1,1,1]=>10010111=>4 [3,2,1,5,7,8,4,6]=>[6,7,8,4,2,1,5,3]=>[3,1,1,2,1]=>10011101=>4 [2,1,7,3,6,8,4,5]=>[7,8,2,6,3,1,5,4]=>[2,2,1,2,1]=>10101101=>6 [2,7,3,1,5,6,8,4]=>[7,2,6,8,4,3,1,5]=>[1,3,1,1,2]=>11001110=>3 [2,4,7,5,1,6,8,3]=>[7,5,2,4,8,3,1,6]=>[1,1,3,1,2]=>11100110=>3 [4,3,7,5,6,1,8,2]=>[5,6,2,4,3,8,1,7]=>[2,2,2,2]=>10101010=>7 [4,3,6,8,5,1,7,2]=>[5,6,3,1,4,8,2,7]=>[2,1,3,2]=>10110010=>5 [2,6,1,8,3,5,7,4]=>[7,3,8,1,6,4,2,5]=>[1,2,2,1,2]=>11010110=>5 [2,1,6,8,3,7,4,5]=>[7,8,3,1,6,2,5,4]=>[2,1,2,2,1]=>10110101=>6 [2,1,8,3,5,7,4,6]=>[7,8,1,6,4,2,5,3]=>[2,2,1,2,1]=>10101101=>6 [3,2,1,5,6,8,4,7]=>[6,7,8,4,3,1,5,2]=>[3,1,1,2,1]=>10011101=>4 [3,2,1,5,7,4,6,8]=>[6,7,8,4,2,5,3,1]=>[3,1,2,1,1]=>10011011=>4 [2,1,7,3,6,4,5,8]=>[7,8,2,6,3,5,4,1]=>[2,2,2,1,1]=>10101011=>6 [8,2,4,1,7,5,6,3]=>[1,7,5,8,2,4,3,6]=>[2,2,2,2]=>10101010=>7 [3,8,4,7,5,1,6,2]=>[6,1,5,2,4,8,3,7]=>[1,2,3,2]=>11010010=>5 [8,4,3,6,1,7,5,2]=>[1,5,6,3,8,2,4,7]=>[3,2,3]=>10010100=>5 [8,2,1,7,3,5,4,6]=>[1,7,8,2,6,4,5,3]=>[3,2,2,1]=>10010101=>6 [2,6,1,8,3,5,4,7]=>[7,3,8,1,6,4,5,2]=>[1,2,2,2,1]=>11010101=>6 [2,7,3,1,5,6,4,8]=>[7,2,6,8,4,3,5,1]=>[1,3,1,2,1]=>11001101=>4 [2,4,7,5,1,6,3,8]=>[7,5,2,4,8,3,6,1]=>[1,1,3,2,1]=>11100101=>4 [8,2,4,1,7,5,3,6]=>[1,7,5,8,2,4,6,3]=>[2,2,3,1]=>10101001=>6 [5,8,6,3,1,7,4,2]=>[4,1,3,6,8,2,5,7]=>[1,4,3]=>11000100=>3 [2,4,7,1,8,5,3,6]=>[7,5,2,8,1,4,6,3]=>[1,1,2,3,1]=>11101001=>4 [2,4,8,5,1,6,3,7]=>[7,5,1,4,8,3,6,2]=>[1,1,3,2,1]=>11100101=>4 [6,2,1,7,8,3,5,4]=>[3,7,8,2,1,6,4,5]=>[3,1,2,2]=>10011010=>5 [2,7,1,8,3,5,6,4]=>[7,2,8,1,6,4,3,5]=>[1,2,2,1,2]=>11010110=>5 [2,1,8,3,6,4,5,7]=>[7,8,1,6,3,5,4,2]=>[2,2,2,1,1]=>10101011=>6 [3,2,1,6,7,4,5,8]=>[6,7,8,3,2,5,4,1]=>[3,1,2,1,1]=>10011011=>4 [3,2,1,7,4,5,6,8]=>[6,7,8,2,5,4,3,1]=>[3,2,1,1,1]=>10010111=>4 [3,2,1,6,8,4,5,7]=>[6,7,8,3,1,5,4,2]=>[3,1,2,1,1]=>10011011=>4 [2,1,8,3,7,4,5,6]=>[7,8,1,6,2,5,4,3]=>[2,2,2,1,1]=>10101011=>6 [2,1,8,3,6,7,4,5]=>[7,8,1,6,3,2,5,4]=>[2,2,1,2,1]=>10101101=>6 [2,4,8,5,1,6,7,3]=>[7,5,1,4,8,3,2,6]=>[1,1,3,1,2]=>11100110=>3 [3,2,1,8,4,5,6,7]=>[6,7,8,1,5,4,3,2]=>[3,2,1,1,1]=>10010111=>4 [1,6,8,3,7,2,4,5]=>[8,3,1,6,2,7,5,4]=>[1,1,2,2,1,1]=>11101011=>4 [3,8,1,5,7,2,4,6]=>[6,1,8,4,2,7,5,3]=>[1,2,1,2,1,1]=>11011011=>4 [1,2,6,8,4,7,3,5]=>[8,7,3,1,5,2,6,4]=>[1,1,1,2,2,1]=>11110101=>4 [6,1,5,8,2,4,7,3]=>[3,8,4,1,7,5,2,6]=>[2,1,2,1,2]=>10110110=>5 [1,2,4,8,3,6,7,5]=>[8,7,5,1,6,3,2,4]=>[1,1,1,2,1,2]=>11110110=>3 [4,1,2,7,8,3,6,5]=>[5,8,7,2,1,6,3,4]=>[2,1,1,2,2]=>10111010=>5 [3,5,7,4,8,6,1,2]=>[6,4,2,5,1,3,8,7]=>[1,1,2,3,1]=>11101001=>4 [5,3,8,4,7,6,1,2]=>[4,6,1,5,2,3,8,7]=>[2,2,3,1]=>10101001=>6 [8,7,1,2,5,4,6,3]=>[1,2,8,7,4,5,3,6]=>[3,1,2,2]=>10011010=>5 [5,8,1,2,3,7,6,4]=>[4,1,8,7,6,2,3,5]=>[1,2,1,1,3]=>11011100=>3 [1,2,8,4,3,5,7,6]=>[8,7,1,5,6,4,2,3]=>[1,1,3,1,2]=>11100110=>3 [1,2,5,3,7,6,4,8]=>[8,7,4,6,2,3,5,1]=>[1,1,2,3,1]=>11101001=>4 [6,1,2,8,7,4,5,3]=>[3,8,7,1,2,5,4,6]=>[2,1,3,2]=>10110010=>5 [7,1,6,2,8,4,5,3]=>[2,8,3,7,1,5,4,6]=>[2,2,2,2]=>10101010=>7 [1,2,6,3,8,5,4,7]=>[8,7,3,6,1,4,5,2]=>[1,1,2,3,1]=>11101001=>4 [1,2,8,5,3,6,4,7]=>[8,7,1,4,6,3,5,2]=>[1,1,3,2,1]=>11100101=>4 [1,2,7,3,8,5,4,6]=>[8,7,2,6,1,4,5,3]=>[1,1,2,3,1]=>11101001=>4 [4,1,2,7,8,6,3,5]=>[5,8,7,2,1,3,6,4]=>[2,1,1,3,1]=>10111001=>4 [1,6,2,8,4,3,5,7]=>[8,3,7,1,5,6,4,2]=>[1,2,3,1,1]=>11010011=>4 [1,6,4,2,7,3,5,8]=>[8,3,5,7,2,6,4,1]=>[1,3,2,1,1]=>11001011=>4 [1,8,6,3,2,4,5,7]=>[8,1,3,6,7,5,4,2]=>[1,4,1,1,1]=>11000111=>2 [1,7,3,2,8,4,5,6]=>[8,2,6,7,1,5,4,3]=>[1,3,2,1,1]=>11001011=>4 [3,1,7,8,6,2,4,5]=>[6,8,2,1,3,7,5,4]=>[2,1,3,1,1]=>10110011=>4 [1,8,7,2,4,5,6,3]=>[8,1,2,7,5,4,3,6]=>[1,3,1,1,2]=>11001110=>3 [1,8,7,3,5,6,2,4]=>[8,1,2,6,4,3,7,5]=>[1,3,1,2,1]=>11001101=>4 [1,3,2,8,7,4,5,6]=>[8,6,7,1,2,5,4,3]=>[1,2,3,1,1]=>11010011=>4 [1,8,3,2,6,4,5,7]=>[8,1,6,7,3,5,4,2]=>[1,3,2,1,1]=>11001011=>4 [1,7,6,3,2,4,5,8]=>[8,2,3,6,7,5,4,1]=>[1,4,1,1,1]=>11000111=>2 [1,2,8,4,3,7,5,6]=>[8,7,1,5,6,2,4,3]=>[1,1,3,2,1]=>11100101=>4 [8,5,1,7,2,4,6,3]=>[1,4,8,2,7,5,3,6]=>[3,2,1,2]=>10010110=>5 [5,3,8,7,4,6,1,2]=>[4,6,1,2,5,3,8,7]=>[2,3,2,1]=>10100101=>6 [3,8,6,4,7,5,1,2]=>[6,1,3,5,2,4,8,7]=>[1,3,3,1]=>11001001=>4 [6,1,8,2,7,4,5,3]=>[3,8,1,7,2,5,4,6]=>[2,2,2,2]=>10101010=>7 [1,2,5,3,8,6,4,7]=>[8,7,4,6,1,3,5,2]=>[1,1,2,3,1]=>11101001=>4 [1,2,7,5,3,6,4,8]=>[8,7,2,4,6,3,5,1]=>[1,1,3,2,1]=>11100101=>4 [1,2,6,3,7,5,4,8]=>[8,7,3,6,2,4,5,1]=>[1,1,2,3,1]=>11101001=>4 [1,2,3,7,5,4,8,6]=>[8,7,6,2,4,5,1,3]=>[1,1,1,3,2]=>11110010=>3 [3,7,4,8,6,5,1,2]=>[6,2,5,1,3,4,8,7]=>[1,2,4,1]=>11010001=>4 [1,8,2,7,6,4,5,3]=>[8,1,7,2,3,5,4,6]=>[1,2,3,2]=>11010010=>5 [2,9,8,7,6,5,4,1,3]=>[8,1,2,3,4,5,6,9,7]=>[1,7,1]=>110000001=>2 [2,8,7,6,5,1,4,3]=>[7,1,2,3,4,8,5,6]=>[1,5,2]=>11000010=>3 [7,1,6,3,2,5,4,8]=>[2,8,3,6,7,4,5,1]=>[2,3,2,1]=>10100101=>6 [2,7,6,3,1,5,8,4]=>[7,2,3,6,8,4,1,5]=>[1,4,1,2]=>11000110=>3 [1,8,4,3,6,5,2,7]=>[8,1,5,6,3,4,7,2]=>[1,3,3,1]=>11001001=>4 [1,8,4,6,5,3,2,7]=>[8,1,5,3,4,6,7,2]=>[1,2,4,1]=>11010001=>4 [7,4,2,1,6,5,3,8]=>[2,5,7,8,3,4,6,1]=>[4,3,1]=>10001001=>4 [7,6,1,4,3,5,2,8]=>[2,3,8,5,6,4,7,1]=>[3,2,2,1]=>10010101=>6 [7,4,1,3,5,2,6,8]=>[2,5,8,6,4,7,3,1]=>[3,1,2,1,1]=>10011011=>4 [7,3,1,2,4,6,5,8]=>[2,6,8,7,5,3,4,1]=>[3,1,1,2,1]=>10011101=>4 [1,8,6,3,4,5,2,7]=>[8,1,3,6,5,4,7,2]=>[1,3,1,2,1]=>11001101=>4 [1,8,6,7,4,2,5,3]=>[8,1,3,2,5,7,4,6]=>[1,2,3,2]=>11010010=>5 [3,6,2,1,4,8,5,7]=>[6,3,7,8,5,1,4,2]=>[1,3,1,2,1]=>11001101=>4 [3,1,7,2,4,6,8,5]=>[6,8,2,7,5,3,1,4]=>[2,2,1,1,2]=>10101110=>5 [3,4,7,1,5,2,8,6]=>[6,5,2,8,4,7,1,3]=>[1,1,2,2,2]=>11101010=>5 [3,6,7,4,1,5,8,2]=>[6,3,2,5,8,4,1,7]=>[1,1,3,1,2]=>11100110=>3 [4,3,2,7,1,5,8,6]=>[5,6,7,2,8,4,1,3]=>[3,2,1,2]=>10010110=>5 [3,1,2,8,6,5,4,7]=>[6,8,7,1,3,4,5,2]=>[2,1,4,1]=>10110001=>4 [5,4,8,6,1,2,3,7]=>[4,5,1,3,8,7,6,2]=>[2,3,1,1,1]=>10100111=>4 [5,6,8,7,4,3,1,2]=>[4,3,1,2,5,6,8,7]=>[1,1,5,1]=>11100001=>2 [1,8,2,7,4,3,6,5]=>[8,1,7,2,5,6,3,4]=>[1,2,3,2]=>11010010=>5 [6,5,8,2,3,7,1,4]=>[3,4,1,7,6,2,8,5]=>[2,2,1,2,1]=>10101101=>6 [6,4,8,5,3,1,7,2]=>[3,5,1,4,6,8,2,7]=>[2,4,2]=>10100010=>5 [5,7,8,6,1,3,2,4]=>[4,2,1,3,8,6,7,5]=>[1,1,3,2,1]=>11100101=>4 [2,4,8,1,6,3,7,5]=>[7,5,1,8,3,6,2,4]=>[1,1,2,2,2]=>11101010=>5 [3,1,2,8,6,4,7,5]=>[6,8,7,1,3,5,2,4]=>[2,1,3,2]=>10110010=>5 [5,3,2,6,4,8,1,7]=>[4,6,7,3,5,1,8,2]=>[3,2,2,1]=>10010101=>6 [4,1,6,3,5,8,2,7]=>[5,8,3,6,4,1,7,2]=>[2,2,1,2,1]=>10101101=>6 [2,4,5,3,8,6,1,7]=>[7,5,4,6,1,3,8,2]=>[1,1,2,3,1]=>11101001=>4 [1,8,5,3,2,7,6,4]=>[8,1,4,6,7,2,3,5]=>[1,4,3]=>11000100=>3 [1,8,4,5,2,6,7,3]=>[8,1,5,4,7,3,2,6]=>[1,2,2,1,2]=>11010110=>5 [4,1,2,7,6,5,8,3]=>[5,8,7,2,3,4,1,6]=>[2,1,3,2]=>10110010=>5 [2,4,1,6,7,8,5,3]=>[7,5,8,3,2,1,4,6]=>[1,2,1,1,3]=>11011100=>3 [1,8,4,3,6,2,7,5]=>[8,1,5,6,3,7,2,4]=>[1,3,2,2]=>11001010=>5 [5,6,7,3,2,8,1,4]=>[4,3,2,6,7,1,8,5]=>[1,1,3,2,1]=>11100101=>4 [2,5,7,3,6,8,4,1]=>[7,4,2,6,3,1,5,8]=>[1,1,2,1,3]=>11101100=>3 [5,3,2,1,4,8,6,7]=>[4,6,7,8,5,1,3,2]=>[4,1,2,1]=>10001101=>4 [5,3,1,4,2,8,6,7]=>[4,6,8,5,7,1,3,2]=>[3,2,2,1]=>10010101=>6 [7,6,1,3,8,5,4,2]=>[2,3,8,6,1,4,5,7]=>[3,1,4]=>10011000=>3 [3,4,7,8,1,2,6,5]=>[6,5,2,1,8,7,3,4]=>[1,1,1,2,1,2]=>11110110=>3 [3,6,7,8,1,4,5,2]=>[6,3,2,1,8,5,4,7]=>[1,1,1,2,1,2]=>11110110=>3 [3,6,2,8,1,5,4,7]=>[6,3,7,1,8,4,5,2]=>[1,2,2,2,1]=>11010101=>6 [2,3,6,8,5,1,4,7]=>[7,6,3,1,4,8,5,2]=>[1,1,1,3,1,1]=>11110011=>2 [3,1,6,4,8,2,5,7]=>[6,8,3,5,1,7,4,2]=>[2,2,2,1,1]=>10101011=>6 [7,3,2,6,8,5,1,4]=>[2,6,7,3,1,4,8,5]=>[3,1,3,1]=>10011001=>4 [7,3,5,8,4,6,1,2]=>[2,6,4,1,5,3,8,7]=>[2,1,2,2,1]=>10110101=>6 [7,5,2,8,4,1,6,3]=>[2,4,7,1,5,8,3,6]=>[3,3,2]=>10010010=>5 [7,4,5,8,2,1,3,6]=>[2,5,4,1,7,8,6,3]=>[2,1,3,1,1]=>10110011=>4 [1,8,5,2,4,6,3,7]=>[8,1,4,7,5,3,6,2]=>[1,3,1,2,1]=>11001101=>4 [1,8,4,2,3,5,7,6]=>[8,1,5,7,6,4,2,3]=>[1,3,1,1,2]=>11001110=>3 [6,4,2,8,3,5,1,7]=>[3,5,7,1,6,4,8,2]=>[3,2,2,1]=>10010101=>6 [6,3,4,8,2,5,7,1]=>[3,6,5,1,7,4,2,8]=>[2,1,2,1,2]=>10110110=>5 [7,5,4,8,3,6,2,1]=>[2,4,5,1,6,3,7,8]=>[3,2,3]=>10010100=>5 [2,7,4,8,5,3,6,1]=>[7,2,5,1,4,6,3,8]=>[1,2,3,2]=>11010010=>5 [7,1,5,4,8,3,6,2]=>[2,8,4,5,1,6,3,7]=>[2,2,2,2]=>10101010=>7 [7,3,2,5,8,4,6,1]=>[2,6,7,4,1,5,3,8]=>[3,1,2,2]=>10011010=>5 [8,4,6,3,7,2,5,1]=>[1,5,3,6,2,7,4,8]=>[2,2,2,2]=>10101010=>7 [7,4,6,3,8,5,1,2]=>[2,5,3,6,1,4,8,7]=>[2,2,3,1]=>10101001=>6 [2,5,6,8,3,4,1,7]=>[7,4,3,1,6,5,8,2]=>[1,1,1,2,2,1]=>11110101=>4 [8,4,6,2,7,5,3,1]=>[1,5,3,7,2,4,6,8]=>[2,2,4]=>10101000=>5 [8,5,6,7,2,4,3,1]=>[1,4,3,2,7,5,6,8]=>[2,1,2,3]=>10110100=>5 [2,5,6,8,4,3,1,7]=>[7,4,3,1,5,6,8,2]=>[1,1,1,4,1]=>11110001=>2 [2,5,7,8,4,1,3,6]=>[7,4,2,1,5,8,6,3]=>[1,1,1,3,1,1]=>11110011=>2 [6,5,7,8,4,1,3,2]=>[3,4,2,1,5,8,6,7]=>[2,1,3,2]=>10110010=>5 [7,5,6,8,2,4,1,3]=>[2,4,3,1,7,5,8,6]=>[2,1,2,2,1]=>10110101=>6 [7,4,6,2,8,5,1,3]=>[2,5,3,7,1,4,8,6]=>[2,2,3,1]=>10101001=>6 [4,3,2,6,8,5,1,7]=>[5,6,7,3,1,4,8,2]=>[3,1,3,1]=>10011001=>4 [3,5,6,8,2,4,1,7]=>[6,4,3,1,7,5,8,2]=>[1,1,1,2,2,1]=>11110101=>4 [3,5,6,8,4,2,1,7]=>[6,4,3,1,5,7,8,2]=>[1,1,1,4,1]=>11110001=>2 [2,6,7,8,1,4,5,3]=>[7,3,2,1,8,5,4,6]=>[1,1,1,2,1,2]=>11110110=>3 [3,6,7,8,1,4,2,5]=>[6,3,2,1,8,5,7,4]=>[1,1,1,2,2,1]=>11110101=>4 [3,5,7,8,2,1,4,6]=>[6,4,2,1,7,8,5,3]=>[1,1,1,3,1,1]=>11110011=>2 [2,6,7,8,1,4,3,5]=>[7,3,2,1,8,5,6,4]=>[1,1,1,2,2,1]=>11110101=>4 [6,5,7,8,3,1,4,2]=>[3,4,2,1,6,8,5,7]=>[2,1,3,2]=>10110010=>5 [2,5,7,8,3,1,4,6]=>[7,4,2,1,6,8,5,3]=>[1,1,1,3,1,1]=>11110011=>2 [2,4,7,3,8,1,5,6]=>[7,5,2,6,1,8,4,3]=>[1,1,2,2,1,1]=>11101011=>4 [6,4,7,3,8,1,5,2]=>[3,5,2,6,1,8,4,7]=>[2,2,2,2]=>10101010=>7 [6,4,7,3,8,1,2,5]=>[3,5,2,6,1,8,7,4]=>[2,2,2,1,1]=>10101011=>6 [7,4,6,3,8,2,1,5]=>[2,5,3,6,1,7,8,4]=>[2,2,3,1]=>10101001=>6 [6,3,2,5,4,8,1,7]=>[3,6,7,4,5,1,8,2]=>[3,2,2,1]=>10010101=>6 [6,4,5,2,3,8,1,7]=>[3,5,4,7,6,1,8,2]=>[2,2,1,2,1]=>10101101=>6 [6,4,5,3,2,8,1,7]=>[3,5,4,6,7,1,8,2]=>[2,3,2,1]=>10100101=>6 [5,4,6,3,8,2,1,7]=>[4,5,3,6,1,7,8,2]=>[2,2,3,1]=>10101001=>6 [5,4,7,3,8,1,6,2]=>[4,5,2,6,1,8,3,7]=>[2,2,2,2]=>10101010=>7 [2,5,7,8,3,1,6,4]=>[7,4,2,1,6,8,3,5]=>[1,1,1,3,2]=>11110010=>3 [4,5,7,8,3,1,2,6]=>[5,4,2,1,6,8,7,3]=>[1,1,1,3,1,1]=>11110011=>2 [4,5,6,8,2,3,1,7]=>[5,4,3,1,7,6,8,2]=>[1,1,1,2,2,1]=>11110101=>4 [5,4,6,2,8,3,1,7]=>[4,5,3,7,1,6,8,2]=>[2,2,3,1]=>10101001=>6 [5,3,2,6,8,4,1,7]=>[4,6,7,3,1,5,8,2]=>[3,1,3,1]=>10011001=>4 [5,4,7,2,8,1,3,6]=>[4,5,2,7,1,8,6,3]=>[2,2,2,1,1]=>10101011=>6 [4,5,7,8,2,1,3,6]=>[5,4,2,1,7,8,6,3]=>[1,1,1,3,1,1]=>11110011=>2 [4,6,7,8,1,3,2,5]=>[5,3,2,1,8,6,7,4]=>[1,1,1,2,2,1]=>11110101=>4 [4,6,7,8,1,3,5,2]=>[5,3,2,1,8,6,4,7]=>[1,1,1,2,1,2]=>11110110=>3 [2,6,7,8,1,3,5,4]=>[7,3,2,1,8,6,4,5]=>[1,1,1,2,1,2]=>11110110=>3 [2,6,7,8,1,5,3,4]=>[7,3,2,1,8,4,6,5]=>[1,1,1,2,2,1]=>11110101=>4 [4,6,7,8,1,5,2,3]=>[5,3,2,1,8,4,7,6]=>[1,1,1,2,2,1]=>11110101=>4 [4,6,7,8,1,2,5,3]=>[5,3,2,1,8,7,4,6]=>[1,1,1,2,1,2]=>11110110=>3 [4,5,7,8,2,1,6,3]=>[5,4,2,1,7,8,3,6]=>[1,1,1,3,2]=>11110010=>3 [5,4,7,2,8,1,6,3]=>[4,5,2,7,1,8,3,6]=>[2,2,2,2]=>10101010=>7 [5,3,2,7,8,1,6,4]=>[4,6,7,2,1,8,3,5]=>[3,1,2,2]=>10011010=>5 [4,3,2,7,8,1,6,5]=>[5,6,7,2,1,8,3,4]=>[3,1,2,2]=>10011010=>5 [3,5,7,8,2,1,6,4]=>[6,4,2,1,7,8,3,5]=>[1,1,1,3,2]=>11110010=>3 [3,6,7,8,1,2,5,4]=>[6,3,2,1,8,7,4,5]=>[1,1,1,2,1,2]=>11110110=>3 [3,6,7,8,1,5,2,4]=>[6,3,2,1,8,4,7,5]=>[1,1,1,2,2,1]=>11110101=>4 [3,6,7,8,1,5,4,2]=>[6,3,2,1,8,4,5,7]=>[1,1,1,2,3]=>11110100=>3 [2,6,7,8,1,5,4,3]=>[7,3,2,1,8,4,5,6]=>[1,1,1,2,3]=>11110100=>3 [2,4,5,6,7,8,1,3,9]=>[8,6,5,4,3,2,9,7,1]=>[1,1,1,1,1,2,1,1]=>111111011=>2 [3,4,5,6,7,1,8,2,9]=>[7,6,5,4,3,9,2,8,1]=>[1,1,1,1,2,2,1]=>111110101=>4 [1,3,5,6,7,8,9,2,4]=>[9,7,5,4,3,2,1,8,6]=>[1,1,1,1,1,1,2,1]=>111111101=>2 [1,4,5,6,7,8,2,9,3]=>[9,6,5,4,3,2,8,1,7]=>[1,1,1,1,1,2,2]=>111111010=>3 [4,2,7,1,5,3,8,6]=>[5,7,2,8,4,6,1,3]=>[2,2,2,2]=>10101010=>7 [4,2,8,6,1,5,3,7]=>[5,7,1,3,8,4,6,2]=>[2,3,2,1]=>10100101=>6 [3,2,6,7,5,1,4,8]=>[6,7,3,2,4,8,5,1]=>[2,1,3,1,1]=>10110011=>4 [2,7,1,3,5,4,8,6]=>[7,2,8,6,4,5,1,3]=>[1,2,1,2,2]=>11011010=>5 [4,7,2,1,5,8,6,3]=>[5,2,7,8,4,1,3,6]=>[1,3,1,3]=>11001100=>3 [7,2,1,3,5,8,6,4]=>[2,7,8,6,4,1,3,5]=>[3,1,1,3]=>10011100=>3 [2,3,6,4,7,1,5,8]=>[7,6,3,5,2,8,4,1]=>[1,1,2,2,1,1]=>11101011=>4 [1,3,4,8,2,7,5,6]=>[8,6,5,1,7,2,4,3]=>[1,1,1,2,2,1]=>11110101=>4 [3,1,4,8,2,6,7,5]=>[6,8,5,1,7,3,2,4]=>[2,1,2,1,2]=>10110110=>5 [8,3,1,6,2,5,7,4]=>[1,6,8,3,7,4,2,5]=>[3,2,1,2]=>10010110=>5 [4,8,6,2,1,5,7,3]=>[5,1,3,7,8,4,2,6]=>[1,4,1,2]=>11000110=>3 [4,8,3,6,5,1,7,2]=>[5,1,6,3,4,8,2,7]=>[1,2,3,2]=>11010010=>5 [6,4,7,3,5,1,8,2]=>[3,5,2,6,4,8,1,7]=>[2,2,2,2]=>10101010=>7 [6,4,7,5,1,8,2,3]=>[3,5,2,4,8,1,7,6]=>[2,3,2,1]=>10100101=>6 [3,6,1,7,5,8,2,4]=>[6,3,8,2,4,1,7,5]=>[1,2,2,2,1]=>11010101=>6 [7,3,5,1,6,8,2,4]=>[2,6,4,8,3,1,7,5]=>[2,2,1,2,1]=>10101101=>6 [4,7,3,5,6,1,8,2]=>[5,2,6,4,3,8,1,7]=>[1,2,1,2,2]=>11011010=>5 [3,4,6,8,5,1,7,2]=>[6,5,3,1,4,8,2,7]=>[1,1,1,3,2]=>11110010=>3 [4,6,8,2,1,5,7,3]=>[5,3,1,7,8,4,2,6]=>[1,1,3,1,2]=>11100110=>3 [6,8,2,1,3,5,7,4]=>[3,1,7,8,6,4,2,5]=>[1,3,1,1,2]=>11001110=>3 [1,8,2,3,5,7,4,6]=>[8,1,7,6,4,2,5,3]=>[1,2,1,1,2,1]=>11011101=>4 [2,7,3,6,1,4,5,8]=>[7,2,6,3,8,5,4,1]=>[1,2,2,1,1,1]=>11010111=>4 [2,6,1,3,5,8,4,7]=>[7,3,8,6,4,1,5,2]=>[1,2,1,1,2,1]=>11011101=>4 [7,3,2,5,6,1,4,8]=>[2,6,7,4,3,8,5,1]=>[3,1,2,1,1]=>10011011=>4 [4,7,5,2,6,1,3,8]=>[5,2,4,7,3,8,6,1]=>[1,3,2,1,1]=>11001011=>4 [4,6,2,8,1,5,3,7]=>[5,3,7,1,8,4,6,2]=>[1,2,2,2,1]=>11010101=>6 [8,4,1,2,7,5,3,6]=>[1,5,8,7,2,4,6,3]=>[3,1,3,1]=>10011001=>4 [4,5,6,2,7,1,3,8]=>[5,4,3,7,2,8,6,1]=>[1,1,2,2,1,1]=>11101011=>4 [8,5,1,2,6,3,4,7]=>[1,4,8,7,3,6,5,2]=>[3,1,2,1,1]=>10011011=>4 [1,6,2,7,4,8,3,5]=>[8,3,7,2,5,1,6,4]=>[1,2,2,2,1]=>11010101=>6 [6,2,1,7,8,5,3,4]=>[3,7,8,2,1,4,6,5]=>[3,1,3,1]=>10011001=>4 [6,7,3,8,4,1,5,2]=>[3,2,6,1,5,8,4,7]=>[1,2,3,2]=>11010010=>5 [2,7,8,4,1,5,6,3]=>[7,2,1,5,8,4,3,6]=>[1,1,3,1,2]=>11100110=>3 [2,7,1,8,5,6,3,4]=>[7,2,8,1,4,3,6,5]=>[1,2,2,2,1]=>11010101=>6 [8,2,5,1,6,7,3,4]=>[1,7,4,8,3,2,6,5]=>[2,2,1,2,1]=>10101101=>6 [8,2,4,5,1,6,7,3]=>[1,7,5,4,8,3,2,6]=>[2,1,2,1,2]=>10110110=>5 [3,8,4,5,6,1,7,2]=>[6,1,5,4,3,8,2,7]=>[1,2,1,2,2]=>11011010=>5 [4,5,8,3,6,7,1,2]=>[5,4,1,6,3,2,8,7]=>[1,1,2,1,2,1]=>11101101=>4 [4,5,8,3,7,6,1,2]=>[5,4,1,6,2,3,8,7]=>[1,1,2,3,1]=>11101001=>4 [4,2,8,3,7,1,6,5]=>[5,7,1,6,2,8,3,4]=>[2,2,2,2]=>10101010=>7 [7,2,3,4,8,1,6,5]=>[2,7,6,5,1,8,3,4]=>[2,1,1,2,2]=>10111010=>5 [7,2,3,4,8,1,5,6]=>[2,7,6,5,1,8,4,3]=>[2,1,1,2,1,1]=>10111011=>4 [7,6,3,4,8,5,1,2]=>[2,3,6,5,1,4,8,7]=>[3,1,3,1]=>10011001=>4 [7,6,3,5,8,4,1,2]=>[2,3,6,4,1,5,8,7]=>[3,1,3,1]=>10011001=>4 [7,6,3,8,4,5,1,2]=>[2,3,6,1,5,4,8,7]=>[3,2,2,1]=>10010101=>6 [7,2,3,8,5,1,4,6]=>[2,7,6,1,4,8,5,3]=>[2,1,3,1,1]=>10110011=>4 [7,2,3,8,5,1,6,4]=>[2,7,6,1,4,8,3,5]=>[2,1,3,2]=>10110010=>5 [2,6,4,8,1,5,7,3]=>[7,3,5,1,8,4,2,6]=>[1,2,2,1,2]=>11010110=>5 [7,2,3,8,4,1,5,6]=>[2,7,6,1,5,8,4,3]=>[2,1,3,1,1]=>10110011=>4 [7,2,3,5,8,1,4,6]=>[2,7,6,4,1,8,5,3]=>[2,1,1,2,1,1]=>10111011=>4 [7,8,2,3,6,1,4,5]=>[2,1,7,6,3,8,5,4]=>[1,2,1,2,1,1]=>11011011=>4 [7,8,2,3,6,1,5,4]=>[2,1,7,6,3,8,4,5]=>[1,2,1,2,2]=>11011010=>5 [4,2,6,3,7,1,5,8]=>[5,7,3,6,2,8,4,1]=>[2,2,2,1,1]=>10101011=>6 [7,2,3,5,8,1,6,4]=>[2,7,6,4,1,8,3,5]=>[2,1,1,2,2]=>10111010=>5 [7,2,3,8,4,1,6,5]=>[2,7,6,1,5,8,3,4]=>[2,1,3,2]=>10110010=>5 [2,6,4,8,1,3,7,5]=>[7,3,5,1,8,6,2,4]=>[1,2,2,1,2]=>11010110=>5 [3,6,4,8,1,7,5,2]=>[6,3,5,1,8,2,4,7]=>[1,2,2,3]=>11010100=>5 [7,6,5,1,2,3,8,4]=>[2,3,4,8,7,6,1,5]=>[4,1,1,2]=>10001110=>3 [7,6,5,1,4,2,8,3]=>[2,3,4,8,5,7,1,6]=>[4,2,2]=>10001010=>5 [2,6,4,5,1,8,7,3]=>[7,3,5,4,8,1,2,6]=>[1,2,2,3]=>11010100=>5 [3,5,6,4,1,2,7,8]=>[6,4,3,5,8,7,2,1]=>[1,1,3,1,1,1]=>11100111=>2 [7,8,5,4,1,2,6,3]=>[2,1,4,5,8,7,3,6]=>[1,4,1,2]=>11000110=>3 [3,5,6,4,1,2,8,7]=>[6,4,3,5,8,7,1,2]=>[1,1,3,1,2]=>11100110=>3 [7,6,5,1,4,2,3,8]=>[2,3,4,8,5,7,6,1]=>[4,2,1,1]=>10001011=>4 [7,6,5,1,2,4,3,8]=>[2,3,4,8,7,5,6,1]=>[4,1,2,1]=>10001101=>4 [7,6,5,1,2,4,8,3]=>[2,3,4,8,7,5,1,6]=>[4,1,1,2]=>10001110=>3 [7,6,5,1,3,2,8,4]=>[2,3,4,8,6,7,1,5]=>[4,2,2]=>10001010=>5 [7,6,5,1,3,2,4,8]=>[2,3,4,8,6,7,5,1]=>[4,2,1,1]=>10001011=>4 [7,6,5,1,3,4,2,8]=>[2,3,4,8,6,5,7,1]=>[4,1,2,1]=>10001101=>4 [7,2,3,4,5,1,8,6]=>[2,7,6,5,4,8,1,3]=>[2,1,1,2,2]=>10111010=>5 [2,6,4,3,1,5,8,7]=>[7,3,5,6,8,4,1,2]=>[1,4,1,2]=>11000110=>3 [2,6,4,3,1,8,5,7]=>[7,3,5,6,8,1,4,2]=>[1,4,2,1]=>11000101=>4 [2,6,4,3,1,8,7,5]=>[7,3,5,6,8,1,2,4]=>[1,4,3]=>11000100=>3 [3,5,8,4,1,2,7,6]=>[6,4,1,5,8,7,2,3]=>[1,1,3,1,2]=>11100110=>3 [3,5,8,4,1,2,6,7]=>[6,4,1,5,8,7,3,2]=>[1,1,3,1,1,1]=>11100111=>2 [3,5,8,4,1,6,2,7]=>[6,4,1,5,8,3,7,2]=>[1,1,3,2,1]=>11100101=>4 [4,2,8,3,6,1,7,5]=>[5,7,1,6,3,8,2,4]=>[2,2,2,2]=>10101010=>7 [3,5,8,4,1,6,7,2]=>[6,4,1,5,8,3,2,7]=>[1,1,3,1,2]=>11100110=>3 [2,5,8,4,1,7,3,6]=>[7,4,1,5,8,2,6,3]=>[1,1,3,2,1]=>11100101=>4 [3,6,4,2,1,7,8,5]=>[6,3,5,7,8,2,1,4]=>[1,4,1,2]=>11000110=>3 [3,6,4,2,1,7,5,8]=>[6,3,5,7,8,2,4,1]=>[1,4,2,1]=>11000101=>4 [3,5,6,4,1,8,7,2]=>[6,4,3,5,8,1,2,7]=>[1,1,3,3]=>11100100=>3 [2,6,4,5,1,3,7,8]=>[7,3,5,4,8,6,2,1]=>[1,2,2,1,1,1]=>11010111=>4 [7,6,5,1,4,3,8,2]=>[2,3,4,8,5,6,1,7]=>[4,2,2]=>10001010=>5 [7,6,5,1,2,8,4,3]=>[2,3,4,8,7,1,5,6]=>[4,1,3]=>10001100=>3 [7,6,5,1,2,8,3,4]=>[2,3,4,8,7,1,6,5]=>[4,1,2,1]=>10001101=>4 [7,6,5,1,8,2,4,3]=>[2,3,4,8,1,7,5,6]=>[4,2,2]=>10001010=>5 [7,6,5,1,8,2,3,4]=>[2,3,4,8,1,7,6,5]=>[4,2,1,1]=>10001011=>4 [7,6,5,1,8,3,2,4]=>[2,3,4,8,1,6,7,5]=>[4,3,1]=>10001001=>4 [7,6,5,1,4,8,2,3]=>[2,3,4,8,5,1,7,6]=>[4,1,2,1]=>10001101=>4 [3,6,4,5,1,7,2,8]=>[6,3,5,4,8,2,7,1]=>[1,2,2,2,1]=>11010101=>6 [2,5,6,4,1,7,8,3]=>[7,4,3,5,8,2,1,6]=>[1,1,3,1,2]=>11100110=>3 [7,8,5,4,1,6,3,2]=>[2,1,4,5,8,3,6,7]=>[1,4,3]=>11000100=>3 [2,5,6,4,1,7,3,8]=>[7,4,3,5,8,2,6,1]=>[1,1,3,2,1]=>11100101=>4 [3,6,4,5,1,7,8,2]=>[6,3,5,4,8,2,1,7]=>[1,2,2,1,2]=>11010110=>5 [7,6,5,1,4,8,3,2]=>[2,3,4,8,5,1,6,7]=>[4,1,3]=>10001100=>3 [7,6,5,1,8,3,4,2]=>[2,3,4,8,1,6,5,7]=>[4,2,2]=>10001010=>5 [7,6,5,1,8,4,2,3]=>[2,3,4,8,1,5,7,6]=>[4,3,1]=>10001001=>4 [4,1,7,6,2,8,5,3]=>[5,8,2,3,7,1,4,6]=>[2,3,3]=>10100100=>5 [7,8,6,2,1,3,5,4]=>[2,1,3,7,8,6,4,5]=>[1,4,1,2]=>11000110=>3 [3,7,6,1,2,8,4,5]=>[6,2,3,8,7,1,5,4]=>[1,3,1,2,1]=>11001101=>4 [2,6,5,3,1,4,8,7]=>[7,3,4,6,8,5,1,2]=>[1,4,1,2]=>11000110=>3 [4,6,1,5,3,2,8,7]=>[5,3,8,4,6,7,1,2]=>[1,2,3,2]=>11010010=>5 [3,6,1,4,2,5,8,7]=>[6,3,8,5,7,4,1,2]=>[1,2,2,1,2]=>11010110=>5 [2,6,4,5,7,8,1,3]=>[7,3,5,4,2,1,8,6]=>[1,2,1,1,2,1]=>11011101=>4 [8,7,1,6,5,2,4,3]=>[1,2,8,3,4,7,5,6]=>[3,3,2]=>10010010=>5 [7,2,5,6,8,1,3,4]=>[2,7,4,3,1,8,6,5]=>[2,1,1,2,1,1]=>10111011=>4 [6,1,3,4,2,8,7,5]=>[3,8,6,5,7,1,2,4]=>[2,1,2,3]=>10110100=>5 [2,4,5,6,1,8,7,3]=>[7,5,4,3,8,1,2,6]=>[1,1,1,2,3]=>11110100=>3 [8,4,1,6,5,7,3,2]=>[1,5,8,3,4,2,6,7]=>[3,2,3]=>10010100=>5 [2,8,3,4,7,5,1,6]=>[7,1,6,5,2,4,8,3]=>[1,2,1,3,1]=>11011001=>4 [6,8,2,7,4,3,5,1]=>[3,1,7,2,5,6,4,8]=>[1,2,3,2]=>11010010=>5 [4,7,8,5,1,6,3,2]=>[5,2,1,4,8,3,6,7]=>[1,1,3,3]=>11100100=>3 [8,2,6,4,7,3,5,1]=>[1,7,3,5,2,6,4,8]=>[2,2,2,2]=>10101010=>7 [4,8,6,1,7,3,2,5]=>[5,1,3,8,2,6,7,4]=>[1,3,3,1]=>11001001=>4 [8,7,3,2,1,5,4,6]=>[1,2,6,7,8,4,5,3]=>[5,2,1]=>10000101=>4 [3,8,5,1,7,2,4,6]=>[6,1,4,8,2,7,5,3]=>[1,3,2,1,1]=>11001011=>4 [6,8,7,1,3,2,4,5]=>[3,1,2,8,6,7,5,4]=>[1,3,2,1,1]=>11001011=>4 [2,5,1,8,7,4,6,3]=>[7,4,8,1,2,5,3,6]=>[1,2,3,2]=>11010010=>5 [3,7,1,8,4,5,6,2]=>[6,2,8,1,5,4,3,7]=>[1,2,2,1,2]=>11010110=>5 [6,2,3,8,4,7,5,1]=>[3,7,6,1,5,2,4,8]=>[2,1,2,3]=>10110100=>5 [8,6,4,3,1,7,2,5]=>[1,3,5,6,8,2,7,4]=>[5,2,1]=>10000101=>4 [8,3,7,4,6,1,2,5]=>[1,6,2,5,3,8,7,4]=>[2,2,2,1,1]=>10101011=>6 [7,1,3,8,6,4,5,2]=>[2,8,6,1,3,5,4,7]=>[2,1,3,2]=>10110010=>5 [2,3,5,8,6,7,4,1]=>[7,6,4,1,3,2,5,8]=>[1,1,1,2,3]=>11110100=>3 [7,4,2,1,8,6,5,3]=>[2,5,7,8,1,3,4,6]=>[4,4]=>10001000=>3 [4,6,7,2,5,8,3,1]=>[5,3,2,7,4,1,6,8]=>[1,1,2,1,3]=>11101100=>3 [7,6,2,5,3,8,1,4]=>[2,3,7,4,6,1,8,5]=>[3,2,2,1]=>10010101=>6 [6,2,1,3,4,8,7,5]=>[3,7,8,6,5,1,2,4]=>[3,1,1,3]=>10011100=>3 [6,5,4,2,8,3,1,7]=>[3,4,5,7,1,6,8,2]=>[4,3,1]=>10001001=>4 [5,4,3,1,8,7,2,6]=>[4,5,6,8,1,2,7,3]=>[4,3,1]=>10001001=>4 [6,1,4,3,8,5,2,7]=>[3,8,5,6,1,4,7,2]=>[2,2,3,1]=>10101001=>6 [4,7,6,2,8,1,5,3]=>[5,2,3,7,1,8,4,6]=>[1,3,2,2]=>11001010=>5 [6,4,5,1,7,8,3,2]=>[3,5,4,8,2,1,6,7]=>[2,2,1,3]=>10101100=>5 [4,2,3,1,7,8,6,5]=>[5,7,6,8,2,1,3,4]=>[2,2,1,3]=>10101100=>5 [3,4,2,1,8,6,7,5]=>[6,5,7,8,1,3,2,4]=>[1,3,2,2]=>11001010=>5 [2,7,6,8,1,5,3,4]=>[7,2,3,1,8,4,6,5]=>[1,2,2,2,1]=>11010101=>6 [6,4,5,8,3,1,2,7]=>[3,5,4,1,6,8,7,2]=>[2,1,3,1,1]=>10110011=>4 [8,1,3,2,5,6,7,4]=>[1,8,6,7,4,3,2,5]=>[2,2,1,1,2]=>10101110=>5 [3,6,8,1,5,2,4,7]=>[6,3,1,8,4,7,5,2]=>[1,1,2,2,1,1]=>11101011=>4 [3,2,8,7,4,5,1,6]=>[6,7,1,2,5,4,8,3]=>[2,3,2,1]=>10100101=>6 [6,3,8,5,7,4,2,1]=>[3,6,1,4,2,5,7,8]=>[2,2,4]=>10101000=>5 [7,4,6,8,5,1,2,3]=>[2,5,3,1,4,8,7,6]=>[2,1,3,1,1]=>10110011=>4 [2,1,4,8,7,5,3,6]=>[7,8,5,1,2,4,6,3]=>[2,1,4,1]=>10110001=>4 [2,1,6,8,3,7,5,4]=>[7,8,3,1,6,2,4,5]=>[2,1,2,3]=>10110100=>5 [3,6,8,2,4,1,5,7]=>[6,3,1,7,5,8,4,2]=>[1,1,2,2,1,1]=>11101011=>4 [6,2,8,1,7,5,4,3]=>[3,7,1,8,2,4,5,6]=>[2,2,4]=>10101000=>5 [2,6,5,4,8,1,3,7]=>[7,3,4,5,1,8,6,2]=>[1,3,2,1,1]=>11001011=>4 [6,5,3,4,8,1,7,2]=>[3,4,6,5,1,8,2,7]=>[3,1,2,2]=>10011010=>5 [8,4,3,2,5,1,7,6]=>[1,5,6,7,4,8,2,3]=>[4,2,2]=>10001010=>5 [4,2,8,1,5,3,6,7]=>[5,7,1,8,4,6,3,2]=>[2,2,2,1,1]=>10101011=>6 [5,1,8,2,6,4,3,7]=>[4,8,1,7,3,5,6,2]=>[2,2,3,1]=>10101001=>6 [7,4,8,6,2,1,3,5]=>[2,5,1,3,7,8,6,4]=>[2,4,1,1]=>10100011=>4 [4,6,2,8,3,7,5,1]=>[5,3,7,1,6,2,4,8]=>[1,2,2,3]=>11010100=>5 [2,1,5,8,3,6,4,7]=>[7,8,4,1,6,3,5,2]=>[2,1,2,2,1]=>10110101=>6 [2,8,5,3,6,7,1,4]=>[7,1,4,6,3,2,8,5]=>[1,3,1,2,1]=>11001101=>4 [7,8,5,6,4,1,3,2]=>[2,1,4,3,5,8,6,7]=>[1,2,3,2]=>11010010=>5 [5,8,4,1,6,3,7,2]=>[4,1,5,8,3,6,2,7]=>[1,3,2,2]=>11001010=>5 [4,8,1,3,5,7,6,2]=>[5,1,8,6,4,2,3,7]=>[1,2,1,1,3]=>11011100=>3 [3,8,1,4,5,6,2,7]=>[6,1,8,5,4,3,7,2]=>[1,2,1,1,2,1]=>11011101=>4 [7,9,5,8,3,6,1,4,2]=>[3,1,5,2,7,4,9,6,8]=>[1,2,2,2,2]=>110101010=>7 [7,6,8,3,5,1,4,2]=>[2,3,1,6,4,8,5,7]=>[2,2,2,2]=>10101010=>7 [8,9,6,7,4,5,2,3,1]=>[2,1,4,3,6,5,8,7,9]=>[1,2,2,2,2]=>110101010=>7 [7,8,6,3,5,1,4,2]=>[2,1,3,6,4,8,5,7]=>[1,3,2,2]=>11001010=>5 [5,3,8,7,6,1,4,2]=>[4,6,1,2,3,8,5,7]=>[2,4,2]=>10100010=>5 [6,5,8,4,7,1,3,2]=>[3,4,1,5,2,8,6,7]=>[2,2,2,2]=>10101010=>7 [6,7,4,2,5,3,1,8]=>[3,2,5,7,4,6,8,1]=>[1,3,3,1]=>11001001=>4 [7,6,4,8,3,1,5,2]=>[2,3,5,1,6,8,4,7]=>[3,3,2]=>10010010=>5 [7,4,8,5,6,1,3,2]=>[2,5,1,4,3,8,6,7]=>[2,2,2,2]=>10101010=>7 [7,4,2,5,6,3,1,8]=>[2,5,7,4,3,6,8,1]=>[3,1,3,1]=>10011001=>4 [4,2,7,5,6,3,1,8]=>[5,7,2,4,3,6,8,1]=>[2,2,3,1]=>10101001=>6 [3,4,7,5,6,2,1,8]=>[6,5,2,4,3,7,8,1]=>[1,1,2,3,1]=>11101001=>4 [4,7,3,5,6,2,1,8]=>[5,2,6,4,3,7,8,1]=>[1,2,1,3,1]=>11011001=>4 [3,7,2,5,6,4,1,8]=>[6,2,7,4,3,5,8,1]=>[1,2,1,3,1]=>11011001=>4 [7,8,3,5,6,1,4,2]=>[2,1,6,4,3,8,5,7]=>[1,2,1,2,2]=>11011010=>5 [1,6,8,5,2,7,4,3]=>[8,3,1,4,7,2,5,6]=>[1,1,3,3]=>11100100=>3 [6,2,8,5,1,7,4,3]=>[3,7,1,4,8,2,5,6]=>[2,3,3]=>10100100=>5 [6,7,4,8,2,1,5,3]=>[3,2,5,1,7,8,4,6]=>[1,2,3,2]=>11010010=>5 [3,2,7,8,6,1,5,4]=>[6,7,2,1,3,8,4,5]=>[2,1,3,2]=>10110010=>5 [6,8,4,1,2,3,7,5]=>[3,1,5,8,7,6,2,4]=>[1,3,1,1,2]=>11001110=>3 [4,1,8,5,6,3,2,7]=>[5,8,1,4,3,6,7,2]=>[2,2,3,1]=>10101001=>6 [1,8,2,5,6,4,3,7]=>[8,1,7,4,3,5,6,2]=>[1,2,1,3,1]=>11011001=>4 [6,1,8,5,3,7,4,2]=>[3,8,1,4,6,2,5,7]=>[2,3,3]=>10100100=>5 [3,8,1,5,2,7,6,4]=>[6,1,8,4,7,2,3,5]=>[1,2,2,3]=>11010100=>5 [8,2,1,5,3,7,6,4]=>[1,7,8,4,6,2,3,5]=>[3,2,3]=>10010100=>5 [1,5,2,4,6,7,8,3]=>[8,4,7,5,3,2,1,6]=>[1,2,1,1,1,2]=>11011110=>3 [4,1,5,3,6,7,8,2]=>[5,8,4,6,3,2,1,7]=>[2,2,1,1,2]=>10101110=>5 [8,1,6,5,3,7,2,4]=>[1,8,3,4,6,2,7,5]=>[2,3,2,1]=>10100101=>6 [7,1,4,6,3,2,8,5]=>[2,8,5,3,6,7,1,4]=>[2,1,3,2]=>10110010=>5 [3,2,6,4,1,7,8,5]=>[6,7,3,5,8,2,1,4]=>[2,3,1,2]=>10100110=>5 [7,6,4,3,1,2,8,5]=>[2,3,5,6,8,7,1,4]=>[5,1,2]=>10000110=>3 [8,6,3,5,1,7,2,4]=>[1,3,6,4,8,2,7,5]=>[3,2,2,1]=>10010101=>6 [4,5,3,1,6,7,8,2]=>[5,4,6,8,3,2,1,7]=>[1,3,1,1,2]=>11001110=>3 [3,5,2,1,6,7,8,4]=>[6,4,7,8,3,2,1,5]=>[1,3,1,1,2]=>11001110=>3 [5,2,3,1,6,7,8,4]=>[4,7,6,8,3,2,1,5]=>[2,2,1,1,2]=>10101110=>5 [1,5,3,2,6,7,8,4]=>[8,4,6,7,3,2,1,5]=>[1,3,1,1,2]=>11001110=>3 [8,4,6,5,1,7,2,3]=>[1,5,3,4,8,2,7,6]=>[2,3,2,1]=>10100101=>6 [7,5,4,6,1,2,8,3]=>[2,4,5,3,8,7,1,6]=>[3,2,1,2]=>10010110=>5 [3,2,5,6,1,7,8,4]=>[6,7,4,3,8,2,1,5]=>[2,1,2,1,2]=>10110110=>5 [3,2,8,7,6,1,4,5]=>[6,7,1,2,3,8,5,4]=>[2,4,1,1]=>10100011=>4 [6,8,4,7,2,1,3,5]=>[3,1,5,2,7,8,6,4]=>[1,2,3,1,1]=>11010011=>4 [3,8,7,5,6,1,2,4]=>[6,1,2,4,3,8,7,5]=>[1,3,2,1,1]=>11001011=>4 [8,2,7,5,6,1,3,4]=>[1,7,2,4,3,8,6,5]=>[2,2,2,1,1]=>10101011=>6 [4,8,6,5,1,7,3,2]=>[5,1,3,4,8,2,6,7]=>[1,4,3]=>11000100=>3 [1,7,4,6,2,3,8,5]=>[8,2,5,3,7,6,1,4]=>[1,2,2,1,2]=>11010110=>5 [7,6,4,2,1,5,8,3]=>[2,3,5,7,8,4,1,6]=>[5,1,2]=>10000110=>3 [5,7,4,6,1,3,8,2]=>[4,2,5,3,8,6,1,7]=>[1,2,2,1,2]=>11010110=>5 [8,6,4,7,3,1,2,5]=>[1,3,5,2,6,8,7,4]=>[3,3,1,1]=>10010011=>4 [5,2,4,3,7,1,8,6]=>[4,7,5,6,2,8,1,3]=>[2,2,2,2]=>10101010=>7 [3,5,4,2,7,1,8,6]=>[6,4,5,7,2,8,1,3]=>[1,3,2,2]=>11001010=>5 [8,6,4,1,3,5,2,7]=>[1,3,5,8,6,4,7,2]=>[4,1,2,1]=>10001101=>4 [6,7,4,1,5,3,8,2]=>[3,2,5,8,4,6,1,7]=>[1,3,2,2]=>11001010=>5 [7,5,4,1,2,6,8,3]=>[2,4,5,8,7,3,1,6]=>[4,1,1,2]=>10001110=>3 [1,7,4,2,3,6,8,5]=>[8,2,5,7,6,3,1,4]=>[1,3,1,1,2]=>11001110=>3 [1,8,2,5,3,7,6,4]=>[8,1,7,4,6,2,3,5]=>[1,2,2,3]=>11010100=>5 [6,8,1,5,4,7,3,2]=>[3,1,8,4,5,2,6,7]=>[1,2,2,3]=>11010100=>5 [8,2,1,5,6,4,3,7]=>[1,7,8,4,3,5,6,2]=>[3,1,3,1]=>10011001=>4 [3,8,1,5,6,4,2,7]=>[6,1,8,4,3,5,7,2]=>[1,2,1,3,1]=>11011001=>4 [6,8,4,1,2,5,3,7]=>[3,1,5,8,7,4,6,2]=>[1,3,1,2,1]=>11001101=>4 [3,2,8,1,6,5,4,7]=>[6,7,1,8,3,4,5,2]=>[2,2,3,1]=>10101001=>6 [3,2,6,1,5,7,8,4]=>[6,7,3,8,4,2,1,5]=>[2,2,1,1,2]=>10101110=>5 [7,6,4,1,5,2,8,3]=>[2,3,5,8,4,7,1,6]=>[4,2,2]=>10001010=>5 [8,6,1,5,4,7,2,3]=>[1,3,8,4,5,2,7,6]=>[3,2,2,1]=>10010101=>6 [3,5,1,4,6,7,8,2]=>[6,4,8,5,3,2,1,7]=>[1,2,1,1,1,2]=>11011110=>3 [5,2,1,4,6,7,8,3]=>[4,7,8,5,3,2,1,6]=>[3,1,1,1,2]=>10011110=>3 [5,4,1,3,6,7,8,2]=>[4,5,8,6,3,2,1,7]=>[3,1,1,1,2]=>10011110=>3 [8,4,1,5,3,7,2,6]=>[1,5,8,4,6,2,7,3]=>[3,2,2,1]=>10010101=>6 [7,5,4,1,3,2,8,6]=>[2,4,5,8,6,7,1,3]=>[4,2,2]=>10001010=>5 [3,2,5,1,4,7,8,6]=>[6,7,4,8,5,2,1,3]=>[2,2,1,1,2]=>10101110=>5 [7,1,4,3,5,2,8,6]=>[2,8,5,6,4,7,1,3]=>[2,2,2,2]=>10101010=>7 [8,1,3,5,4,7,2,6]=>[1,8,6,4,5,2,7,3]=>[2,1,2,2,1]=>10110101=>6 [5,1,3,4,6,7,8,2]=>[4,8,6,5,3,2,1,7]=>[2,1,1,1,1,2]=>10111110=>3 [3,1,8,2,5,7,4,6]=>[6,8,1,7,4,2,5,3]=>[2,2,1,2,1]=>10101101=>6 [8,3,2,6,1,4,7,5]=>[1,6,7,3,8,5,2,4]=>[3,2,1,2]=>10010110=>5 [2,8,1,6,4,3,7,5]=>[7,1,8,3,5,6,2,4]=>[1,2,3,2]=>11010010=>5 [2,6,1,3,8,7,5,4]=>[7,3,8,6,1,2,4,5]=>[1,2,1,4]=>11011000=>3 [2,5,7,1,3,8,6,4]=>[7,4,2,8,6,1,3,5]=>[1,1,2,1,3]=>11101100=>3 [2,6,8,1,5,7,4,3]=>[7,3,1,8,4,2,5,6]=>[1,1,2,1,3]=>11101100=>3 [2,7,1,5,8,4,6,3]=>[7,2,8,4,1,5,3,6]=>[1,2,1,2,2]=>11011010=>5 [2,7,1,6,4,8,3,5]=>[7,2,8,3,5,1,6,4]=>[1,2,2,2,1]=>11010101=>6 [2,7,1,6,5,3,8,4]=>[7,2,8,3,4,6,1,5]=>[1,2,3,2]=>11010010=>5 [2,8,1,7,6,5,4,3]=>[7,1,8,2,3,4,5,6]=>[1,2,5]=>11010000=>3 [8,3,2,7,1,6,5,4]=>[1,6,7,2,8,3,4,5]=>[3,2,3]=>10010100=>5 [4,1,7,2,8,6,5,3]=>[5,8,2,7,1,3,4,6]=>[2,2,4]=>10101000=>5 [3,7,1,8,6,5,4,2]=>[6,2,8,1,3,4,5,7]=>[1,2,5]=>11010000=>3 [3,7,6,1,4,2,5,8]=>[6,2,3,8,5,7,4,1]=>[1,3,2,1,1]=>11001011=>4 [3,7,5,1,4,6,8,2]=>[6,2,4,8,5,3,1,7]=>[1,3,1,1,2]=>11001110=>3 [3,6,8,5,1,4,7,2]=>[6,3,1,4,8,5,2,7]=>[1,1,3,1,2]=>11100110=>3 [7,3,5,8,2,1,4,6]=>[2,6,4,1,7,8,5,3]=>[2,1,3,1,1]=>10110011=>4 [7,3,6,2,1,4,5,8]=>[2,6,3,7,8,5,4,1]=>[2,3,1,1,1]=>10100111=>4 [7,3,6,2,1,5,4,8]=>[2,6,3,7,8,4,5,1]=>[2,3,2,1]=>10100101=>6 [7,4,2,8,1,6,5,3]=>[2,5,7,1,8,3,4,6]=>[3,2,3]=>10010100=>5 [8,7,5,3,2,1,6,4]=>[1,2,4,6,7,8,3,5]=>[6,2]=>10000010=>3 [7,5,2,6,3,1,4,8]=>[2,4,7,3,6,8,5,1]=>[3,3,1,1]=>10010011=>4 [7,4,6,2,1,8,3,5]=>[2,5,3,7,8,1,6,4]=>[2,3,2,1]=>10100101=>6 [6,8,4,5,2,1,7,3]=>[3,1,5,4,7,8,2,6]=>[1,2,3,2]=>11010010=>5 [4,6,8,5,1,7,3,2]=>[5,3,1,4,8,2,6,7]=>[1,1,3,3]=>11100100=>3 [4,7,5,1,3,8,6,2]=>[5,2,4,8,6,1,3,7]=>[1,3,1,3]=>11001100=>3 [4,7,6,1,5,3,2,8]=>[5,2,3,8,4,6,7,1]=>[1,3,3,1]=>11001001=>4 [5,1,7,6,3,8,2,4]=>[4,8,2,3,6,1,7,5]=>[2,3,2,1]=>10100101=>6 [5,1,7,6,4,2,8,3]=>[4,8,2,3,5,7,1,6]=>[2,4,2]=>10100010=>5 [5,1,8,7,6,4,3,2]=>[4,8,1,2,3,5,6,7]=>[2,6]=>10100000=>3 [8,5,2,1,7,6,4,3]=>[1,4,7,8,2,3,5,6]=>[4,4]=>10001000=>3 [8,5,2,1,6,3,7,4]=>[1,4,7,8,3,6,2,5]=>[4,2,2]=>10001010=>5 [5,1,8,6,3,2,7,4]=>[4,8,1,3,6,7,2,5]=>[2,4,2]=>10100010=>5 [3,6,1,7,4,8,2,5]=>[6,3,8,2,5,1,7,4]=>[1,2,2,2,1]=>11010101=>6 [4,1,8,6,3,7,2,5]=>[5,8,1,3,6,2,7,4]=>[2,3,2,1]=>10100101=>6 [8,4,2,5,7,3,1,6]=>[1,5,7,4,2,6,8,3]=>[3,1,3,1]=>10011001=>4 [3,4,6,8,5,7,1,2]=>[6,5,3,1,4,2,8,7]=>[1,1,1,2,2,1]=>11110101=>4 [5,4,8,2,7,3,6,1]=>[4,5,1,7,2,6,3,8]=>[2,2,2,2]=>10101010=>7 [5,4,8,7,3,6,1,2]=>[4,5,1,2,6,3,8,7]=>[2,3,2,1]=>10100101=>6 [8,5,4,7,3,6,2,1]=>[1,4,5,2,6,3,7,8]=>[3,2,3]=>10010100=>5 [6,4,3,8,7,1,2,5]=>[3,5,6,1,2,8,7,4]=>[3,3,1,1]=>10010011=>4 [6,3,7,2,4,8,1,5]=>[3,6,2,7,5,1,8,4]=>[2,2,1,2,1]=>10101101=>6 [5,6,8,4,2,7,3,1]=>[4,3,1,5,7,2,6,8]=>[1,1,3,3]=>11100100=>3 [5,7,4,2,8,1,3,6]=>[4,2,5,7,1,8,6,3]=>[1,3,2,1,1]=>11001011=>4 [6,5,2,7,1,3,8,4]=>[3,4,7,2,8,6,1,5]=>[3,2,1,2]=>10010110=>5 [8,6,5,4,2,1,7,3]=>[1,3,4,5,7,8,2,6]=>[6,2]=>10000010=>3 [6,4,7,3,1,8,2,5]=>[3,5,2,6,8,1,7,4]=>[2,3,2,1]=>10100101=>6 [5,7,4,3,8,6,1,2]=>[4,2,5,6,1,3,8,7]=>[1,3,3,1]=>11001001=>4 [7,5,8,4,6,3,2,1]=>[2,4,1,5,3,6,7,8]=>[2,2,4]=>10101000=>5 [7,6,4,8,3,5,2,1]=>[2,3,5,1,6,4,7,8]=>[3,2,3]=>10010100=>5 [7,6,5,3,8,2,4,1]=>[2,3,4,6,1,7,5,8]=>[4,2,2]=>10001010=>5 [6,5,4,3,2,1,9,8,7]=>[4,5,6,7,8,9,1,2,3]=>[6,3]=>100000100=>3 [6,5,4,3,2,1,8,7,9]=>[4,5,6,7,8,9,2,3,1]=>[6,2,1]=>100000101=>4 [5,4,3,2,1,9,8,7,6]=>[5,6,7,8,9,1,2,3,4]=>[5,4]=>100001000=>3 [5,4,3,2,1,8,7,6,9]=>[5,6,7,8,9,2,3,4,1]=>[5,3,1]=>100001001=>4 [5,4,3,2,1,7,6,9,8]=>[5,6,7,8,9,3,4,1,2]=>[5,2,2]=>100001010=>5 [5,4,3,2,1,7,6,8,9]=>[5,6,7,8,9,3,4,2,1]=>[5,2,1,1]=>100001011=>4 [4,3,2,1,8,7,6,5,9]=>[6,7,8,9,2,3,4,5,1]=>[4,4,1]=>100010001=>4 [4,3,2,1,7,6,5,9,8]=>[6,7,8,9,3,4,5,1,2]=>[4,3,2]=>100010010=>5 [4,3,2,1,7,6,5,8,9]=>[6,7,8,9,3,4,5,2,1]=>[4,3,1,1]=>100010011=>4 [4,3,2,1,6,5,8,7,9]=>[6,7,8,9,4,5,2,3,1]=>[4,2,2,1]=>100010101=>6 [4,3,2,1,6,5,7,8,9]=>[6,7,8,9,4,5,3,2,1]=>[4,2,1,1,1]=>100010111=>4 [3,2,1,6,5,4,8,7,9]=>[7,8,9,4,5,6,2,3,1]=>[3,3,2,1]=>100100101=>6 [3,2,1,6,5,4,7,8,9]=>[7,8,9,4,5,6,3,2,1]=>[3,3,1,1,1]=>100100111=>4 [3,2,1,5,4,7,6,9,8]=>[7,8,9,5,6,3,4,1,2]=>[3,2,2,2]=>100101010=>7 [3,2,1,5,4,7,6,8,9]=>[7,8,9,5,6,3,4,2,1]=>[3,2,2,1,1]=>100101011=>6 [3,2,1,5,4,6,7,8,9]=>[7,8,9,5,6,4,3,2,1]=>[3,2,1,1,1,1]=>100101111=>4 [2,1,4,3,6,5,7,8,9]=>[8,9,6,7,4,5,3,2,1]=>[2,2,2,1,1,1]=>101010111=>6 [2,1,4,3,5,6,7,8,9]=>[8,9,6,7,5,4,3,2,1]=>[2,2,1,1,1,1,1]=>101011111=>4 [5,6,3,7,4,2,1,8]=>[4,3,6,2,5,7,8,1]=>[1,2,4,1]=>11010001=>4 [7,6,3,8,5,1,4,2]=>[2,3,6,1,4,8,5,7]=>[3,3,2]=>10010010=>5 [6,4,8,1,3,2,5,7]=>[3,5,1,8,6,7,4,2]=>[2,2,2,1,1]=>10101011=>6 [7,4,8,6,3,1,5,2]=>[2,5,1,3,6,8,4,7]=>[2,4,2]=>10100010=>5 [4,2,7,6,5,3,1,8]=>[5,7,2,3,4,6,8,1]=>[2,5,1]=>10100001=>4 [3,7,2,4,6,5,1,8]=>[6,2,7,5,3,4,8,1]=>[1,2,1,3,1]=>11011001=>4 [8,1,3,4,5,2,6,7]=>[1,8,6,5,4,7,3,2]=>[2,1,1,2,1,1]=>10111011=>4 [1,6,8,4,2,5,3,7]=>[8,3,1,5,7,4,6,2]=>[1,1,3,2,1]=>11100101=>4 [6,2,8,4,1,5,7,3]=>[3,7,1,5,8,4,2,6]=>[2,3,1,2]=>10100110=>5 [6,7,4,8,5,1,2,3]=>[3,2,5,1,4,8,7,6]=>[1,2,3,1,1]=>11010011=>4 [3,2,7,8,5,1,6,4]=>[6,7,2,1,4,8,3,5]=>[2,1,3,2]=>10110010=>5 [3,2,8,1,5,4,6,7]=>[6,7,1,8,4,5,3,2]=>[2,2,2,1,1]=>10101011=>6 [6,1,4,8,5,3,7,2]=>[3,8,5,1,4,6,2,7]=>[2,1,3,2]=>10110010=>5 [1,4,8,5,2,6,7,3]=>[8,5,1,4,7,3,2,6]=>[1,1,3,1,2]=>11100110=>3 [6,1,8,4,3,7,2,5]=>[3,8,1,5,6,2,7,4]=>[2,3,2,1]=>10100101=>6 [3,7,1,4,2,5,8,6]=>[6,2,8,5,7,4,1,3]=>[1,2,2,1,2]=>11010110=>5 [7,2,1,4,3,5,6,8]=>[2,7,8,5,6,4,3,1]=>[3,2,1,1,1]=>10010111=>4 [4,1,5,3,6,8,2,7]=>[5,8,4,6,3,1,7,2]=>[2,2,1,2,1]=>10101101=>6 [6,1,8,5,3,2,7,4]=>[3,8,1,4,6,7,2,5]=>[2,4,2]=>10100010=>5 [7,1,4,6,3,8,5,2]=>[2,8,5,3,6,1,4,7]=>[2,1,2,3]=>10110100=>5 [3,2,6,4,1,8,7,5]=>[6,7,3,5,8,1,2,4]=>[2,3,3]=>10100100=>5 [7,6,4,3,1,8,2,5]=>[2,3,5,6,8,1,7,4]=>[5,2,1]=>10000101=>4 [3,5,2,1,8,7,6,4]=>[6,4,7,8,1,2,3,5]=>[1,3,4]=>11001000=>3 [1,5,3,2,8,6,4,7]=>[8,4,6,7,1,3,5,2]=>[1,3,3,1]=>11001001=>4 [5,4,2,1,7,8,6,3]=>[4,5,7,8,2,1,3,6]=>[4,1,3]=>10001100=>3 [8,2,7,6,5,1,3,4]=>[1,7,2,3,4,8,6,5]=>[2,4,1,1]=>10100011=>4 [8,6,2,7,1,4,5,3]=>[1,3,7,2,8,5,4,6]=>[3,2,1,2]=>10010110=>5 [1,7,3,6,2,8,5,4]=>[8,2,6,3,7,1,4,5]=>[1,2,2,3]=>11010100=>5 [7,6,3,2,1,8,5,4]=>[2,3,6,7,8,1,4,5]=>[5,3]=>10000100=>3 [8,6,3,7,4,1,2,5]=>[1,3,6,2,5,8,7,4]=>[3,3,1,1]=>10010011=>4 [5,2,3,4,7,1,8,6]=>[4,7,6,5,2,8,1,3]=>[2,1,1,2,2]=>10111010=>5 [8,6,3,1,4,5,7,2]=>[1,3,6,8,5,4,2,7]=>[4,1,1,2]=>10001110=>3 [6,7,3,1,5,4,2,8]=>[3,2,6,8,4,5,7,1]=>[1,3,3,1]=>11001001=>4 [5,8,3,1,2,4,7,6]=>[4,1,6,8,7,5,2,3]=>[1,3,1,1,2]=>11001110=>3 [8,1,3,2,4,5,6,7]=>[1,8,6,7,5,4,3,2]=>[2,2,1,1,1,1]=>10101111=>4 [8,4,1,7,2,3,6,5]=>[1,5,8,2,7,6,3,4]=>[3,2,1,2]=>10010110=>5 [8,2,1,6,5,4,7,3]=>[1,7,8,3,4,5,2,6]=>[3,3,2]=>10010010=>5 [3,8,1,5,6,4,7,2]=>[6,1,8,4,3,5,2,7]=>[1,2,1,2,2]=>11011010=>5 [6,8,4,1,2,5,7,3]=>[3,1,5,8,7,4,2,6]=>[1,3,1,1,2]=>11001110=>3 [3,2,8,1,6,5,7,4]=>[6,7,1,8,3,4,2,5]=>[2,2,2,2]=>10101010=>7 [7,6,4,1,5,2,3,8]=>[2,3,5,8,4,7,6,1]=>[4,2,1,1]=>10001011=>4 [8,6,1,5,4,7,3,2]=>[1,3,8,4,5,2,6,7]=>[3,2,3]=>10010100=>5 [3,5,1,4,6,7,2,8]=>[6,4,8,5,3,2,7,1]=>[1,2,1,1,2,1]=>11011101=>4 [5,2,1,4,7,6,3,8]=>[4,7,8,5,2,3,6,1]=>[3,1,3,1]=>10011001=>4 [4,5,8,2,1,3,7,6]=>[5,4,1,7,8,6,2,3]=>[1,1,3,1,2]=>11100110=>3 [5,8,2,3,1,4,6,7]=>[4,1,7,6,8,5,3,2]=>[1,2,2,1,1,1]=>11010111=>4 [4,2,1,3,5,8,7,6]=>[5,7,8,6,4,1,2,3]=>[3,1,1,3]=>10011100=>3 [5,4,1,3,6,2,8,7]=>[4,5,8,6,3,7,1,2]=>[3,1,2,2]=>10011010=>5 [8,5,4,1,3,6,2,7]=>[1,4,5,8,6,3,7,2]=>[4,1,2,1]=>10001101=>4 [3,2,5,1,4,6,8,7]=>[6,7,4,8,5,3,1,2]=>[2,2,1,1,2]=>10101110=>5 [8,1,4,3,5,6,7,2]=>[1,8,5,6,4,3,2,7]=>[2,2,1,1,2]=>10101110=>5 [7,1,3,5,4,6,2,8]=>[2,8,6,4,5,3,7,1]=>[2,1,2,2,1]=>10110101=>6 [5,1,3,4,6,2,7,8]=>[4,8,6,5,3,7,2,1]=>[2,1,1,2,1,1]=>10111011=>4 [4,1,3,2,5,7,6,8]=>[5,8,6,7,4,2,3,1]=>[2,2,1,2,1]=>10101101=>6 [3,1,4,2,6,5,8,7,9]=>[7,9,6,8,4,5,2,3,1]=>[2,2,2,2,1]=>101010101=>8 [3,1,5,2,6,4,8,7,9]=>[7,9,5,8,4,6,2,3,1]=>[2,2,2,2,1]=>101010101=>8 [3,1,5,2,7,4,8,6,9]=>[7,9,5,8,3,6,2,4,1]=>[2,2,2,2,1]=>101010101=>8 [3,1,5,2,7,4,6,9,8]=>[7,9,5,8,3,6,4,1,2]=>[2,2,2,1,2]=>101010110=>7 [3,1,5,2,4,7,6,9,8]=>[7,9,5,8,6,3,4,1,2]=>[2,2,1,2,2]=>101011010=>7 [3,1,2,5,4,7,6,9,8]=>[7,9,8,5,6,3,4,1,2]=>[2,1,2,2,2]=>101101010=>7 [4,1,5,2,6,3,8,7,9]=>[6,9,5,8,4,7,2,3,1]=>[2,2,2,2,1]=>101010101=>8 [3,1,6,2,7,4,8,5,9]=>[7,9,4,8,3,6,2,5,1]=>[2,2,2,2,1]=>101010101=>8 [3,1,5,2,8,4,9,6,7]=>[7,9,5,8,2,6,1,4,3]=>[2,2,2,2,1]=>101010101=>8 [3,1,5,2,7,4,6,8,9]=>[7,9,5,8,3,6,4,2,1]=>[2,2,2,1,1,1]=>101010111=>6 [3,1,5,2,4,7,9,6,8]=>[7,9,5,8,6,3,1,4,2]=>[2,2,1,1,2,1]=>101011101=>6 [3,1,2,5,7,4,6,9,8]=>[7,9,8,5,3,6,4,1,2]=>[2,1,1,2,1,2]=>101110110=>5 [1,3,5,2,4,7,6,9,8]=>[9,7,5,8,6,3,4,1,2]=>[1,1,2,1,2,2]=>111011010=>5 [6,8,2,4,5,1,3,7]=>[3,1,7,5,4,8,6,2]=>[1,2,1,2,1,1]=>11011011=>4 [3,6,7,2,5,1,4,8]=>[6,3,2,7,4,8,5,1]=>[1,1,2,2,1,1]=>11101011=>4 [4,6,7,3,1,5,2,8]=>[5,3,2,6,8,4,7,1]=>[1,1,3,2,1]=>11100101=>4 [5,8,1,2,4,7,3,6]=>[4,1,8,7,5,2,6,3]=>[1,2,1,1,2,1]=>11011101=>4 [6,8,1,3,5,2,7,4]=>[3,1,8,6,4,7,2,5]=>[1,2,1,2,2]=>11011010=>5 [6,8,3,1,4,5,7,2]=>[3,1,6,8,5,4,2,7]=>[1,3,1,1,2]=>11001110=>3 [7,5,1,8,2,3,6,4]=>[2,4,8,1,7,6,3,5]=>[3,2,1,2]=>10010110=>5 [6,1,8,2,3,4,7,5]=>[3,8,1,7,6,5,2,4]=>[2,2,1,1,2]=>10101110=>5 [5,1,8,4,6,3,7,2]=>[4,8,1,5,3,6,2,7]=>[2,2,2,2]=>10101010=>7 [4,1,8,3,5,7,2,6]=>[5,8,1,6,4,2,7,3]=>[2,2,1,2,1]=>10101101=>6 [4,5,7,3,2,6,8,1]=>[5,4,2,6,7,3,1,8]=>[1,1,3,1,2]=>11100110=>3 [4,5,7,2,3,6,8,1]=>[5,4,2,7,6,3,1,8]=>[1,1,2,1,1,2]=>11101110=>3 [2,6,3,4,7,5,8,1]=>[7,3,6,5,2,4,1,8]=>[1,2,1,2,2]=>11011010=>5 [3,6,4,2,7,5,8,1]=>[6,3,5,7,2,4,1,8]=>[1,3,2,2]=>11001010=>5 [4,5,2,7,1,6,8,3]=>[5,4,7,2,8,3,1,6]=>[1,2,2,1,2]=>11010110=>5 [3,4,1,6,5,8,2,7]=>[6,5,8,3,4,1,7,2]=>[1,2,2,2,1]=>11010101=>6 [4,1,2,8,5,7,3,6]=>[5,8,7,1,4,2,6,3]=>[2,1,2,2,1]=>10110101=>6 [5,1,4,8,6,2,7,3]=>[4,8,5,1,3,7,2,6]=>[2,1,3,2]=>10110010=>5 [5,6,3,1,7,4,2,8]=>[4,3,6,8,2,5,7,1]=>[1,3,3,1]=>11001001=>4 [7,3,4,1,8,5,2,6]=>[2,6,5,8,1,4,7,3]=>[2,2,3,1]=>10101001=>6 [6,4,2,8,7,1,5,3]=>[3,5,7,1,2,8,4,6]=>[3,3,2]=>10010010=>5 [7,2,4,8,1,5,3,6]=>[2,7,5,1,8,4,6,3]=>[2,1,2,2,1]=>10110101=>6 [7,1,3,8,5,2,4,6]=>[2,8,6,1,4,7,5,3]=>[2,1,3,1,1]=>10110011=>4 [1,5,3,7,8,2,4,6]=>[8,4,6,2,1,7,5,3]=>[1,2,1,2,1,1]=>11011011=>4 [3,2,6,7,1,8,4,5]=>[6,7,3,2,8,1,5,4]=>[2,1,2,2,1]=>10110101=>6 [4,6,3,1,7,8,5,2]=>[5,3,6,8,2,1,4,7]=>[1,3,1,3]=>11001100=>3 [5,3,1,6,7,8,4,2]=>[4,6,8,3,2,1,5,7]=>[3,1,1,3]=>10011100=>3 [4,1,6,2,7,8,5,3]=>[5,8,3,7,2,1,4,6]=>[2,2,1,3]=>10101100=>5 [2,1,3,4,8,7,5,6]=>[7,8,6,5,1,2,4,3]=>[2,1,1,3,1]=>10111001=>4 [4,5,6,7,8,9,1,2,3]=>[6,5,4,3,2,1,9,8,7]=>[1,1,1,1,1,2,1,1]=>111111011=>2 [4,5,6,7,8,9,2,3,1]=>[6,5,4,3,2,1,8,7,9]=>[1,1,1,1,1,2,2]=>111111010=>3 [5,6,7,8,9,1,2,3,4]=>[5,4,3,2,1,9,8,7,6]=>[1,1,1,1,2,1,1,1]=>111110111=>2 [5,6,7,8,9,2,3,4,1]=>[5,4,3,2,1,8,7,6,9]=>[1,1,1,1,2,1,2]=>111110110=>3 [5,6,7,8,9,3,4,1,2]=>[5,4,3,2,1,7,6,9,8]=>[1,1,1,1,2,2,1]=>111110101=>4 [5,6,7,8,9,3,4,2,1]=>[5,4,3,2,1,7,6,8,9]=>[1,1,1,1,2,3]=>111110100=>3 [6,7,8,9,2,3,4,5,1]=>[4,3,2,1,8,7,6,5,9]=>[1,1,1,2,1,1,2]=>111101110=>3 [6,7,8,9,4,5,3,2,1]=>[4,3,2,1,6,5,7,8,9]=>[1,1,1,2,4]=>111101000=>3 [7,8,9,5,6,3,4,1,2]=>[3,2,1,5,4,7,6,9,8]=>[1,1,2,2,2,1]=>111010101=>6 [7,8,9,5,6,4,3,2,1]=>[3,2,1,5,4,6,7,8,9]=>[1,1,2,5]=>111010000=>3 [8,9,6,7,4,5,3,2,1]=>[2,1,4,3,6,5,7,8,9]=>[1,2,2,4]=>110101000=>5 [8,9,6,7,5,4,3,2,1]=>[2,1,4,3,5,6,7,8,9]=>[1,2,6]=>110100000=>3 [4,8,3,7,6,5,1,2]=>[5,1,6,2,3,4,8,7]=>[1,2,4,1]=>11010001=>4 [6,3,8,7,5,4,1,2]=>[3,6,1,2,4,5,8,7]=>[2,5,1]=>10100001=>4 [5,3,8,7,6,4,1,2]=>[4,6,1,2,3,5,8,7]=>[2,5,1]=>10100001=>4 [2,8,7,6,1,5,4,3]=>[7,1,2,3,8,4,5,6]=>[1,4,3]=>11000100=>3 [5,2,8,7,6,1,4,3]=>[4,7,1,2,3,8,5,6]=>[2,4,2]=>10100010=>5 [6,2,8,7,5,1,4,3]=>[3,7,1,2,4,8,5,6]=>[2,4,2]=>10100010=>5 [7,8,2,6,5,1,4,3]=>[2,1,7,3,4,8,5,6]=>[1,2,3,2]=>11010010=>5 [6,1,8,7,5,4,3,2]=>[3,8,1,2,4,5,6,7]=>[2,6]=>10100000=>3 [3,1,8,7,6,5,4,2]=>[6,8,1,2,3,4,5,7]=>[2,6]=>10100000=>3 [7,8,2,6,1,5,4,3]=>[2,1,7,3,8,4,5,6]=>[1,2,2,3]=>11010100=>5 [6,2,8,7,1,5,4,3]=>[3,7,1,2,8,4,5,6]=>[2,3,3]=>10100100=>5 [4,2,8,1,7,6,5,3]=>[5,7,1,8,2,3,4,6]=>[2,2,4]=>10101000=>5 [4,8,2,7,6,1,5,3]=>[5,1,7,2,3,8,4,6]=>[1,2,3,2]=>11010010=>5 [3,8,7,2,1,6,5,4]=>[6,1,2,7,8,3,4,5]=>[1,4,3]=>11000100=>3 [6,5,8,7,1,4,3,2]=>[3,4,1,2,8,5,6,7]=>[2,3,3]=>10100100=>5 [4,8,1,7,6,5,3,2]=>[5,1,8,2,3,4,6,7]=>[1,2,5]=>11010000=>3 [5,4,1,8,7,6,3,2]=>[4,5,8,1,2,3,6,7]=>[3,5]=>10010000=>3 [6,4,8,1,7,5,3,2]=>[3,5,1,8,2,4,6,7]=>[2,2,4]=>10101000=>5 [7,8,4,1,6,5,3,2]=>[2,1,5,8,3,4,6,7]=>[1,3,4]=>11001000=>3 [7,8,3,1,6,5,4,2]=>[2,1,6,8,3,4,5,7]=>[1,3,4]=>11001000=>3 [6,3,8,1,7,5,4,2]=>[3,6,1,8,2,4,5,7]=>[2,2,4]=>10101000=>5 [5,3,1,8,7,6,4,2]=>[4,6,8,1,2,3,5,7]=>[3,5]=>10010000=>3 [7,8,2,1,6,5,4,3]=>[2,1,7,8,3,4,5,6]=>[1,3,4]=>11001000=>3 [6,5,3,1,8,7,4,2]=>[3,4,6,8,1,2,5,7]=>[4,4]=>10001000=>3 [6,4,3,1,8,7,5,2]=>[3,5,6,8,1,2,4,7]=>[4,4]=>10001000=>3 [5,4,3,1,8,7,6,2]=>[4,5,6,8,1,2,3,7]=>[4,4]=>10001000=>3 [7,5,2,1,8,6,4,3]=>[2,4,7,8,1,3,5,6]=>[4,4]=>10001000=>3 [5,4,2,1,8,7,6,3]=>[4,5,7,8,1,2,3,6]=>[4,4]=>10001000=>3 [7,3,2,1,8,6,5,4]=>[2,6,7,8,1,3,4,5]=>[4,4]=>10001000=>3 [6,3,2,1,8,7,5,4]=>[3,6,7,8,1,2,4,5]=>[4,4]=>10001000=>3 [6,1,4,2,3,5,8,7]=>[3,8,5,7,6,4,1,2]=>[2,2,1,1,2]=>10101110=>5 [8,6,1,4,2,3,5,7]=>[1,3,8,5,7,6,4,2]=>[3,2,1,1,1]=>10010111=>4 [6,8,1,4,2,3,5,7]=>[3,1,8,5,7,6,4,2]=>[1,2,2,1,1,1]=>11010111=>4 [8,1,4,2,3,6,5,7]=>[1,8,5,7,6,3,4,2]=>[2,2,1,2,1]=>10101101=>6 [4,1,8,2,3,6,5,7]=>[5,8,1,7,6,3,4,2]=>[2,2,1,2,1]=>10101101=>6 [8,2,3,6,1,4,5,7]=>[1,7,6,3,8,5,4,2]=>[2,1,2,1,1,1]=>10110111=>4 [6,2,3,8,1,4,5,7]=>[3,7,6,1,8,5,4,2]=>[2,1,2,1,1,1]=>10110111=>4 [4,6,2,3,8,1,5,7]=>[5,3,7,6,1,8,4,2]=>[1,2,1,2,1,1]=>11011011=>4 [4,8,2,3,6,1,5,7]=>[5,1,7,6,3,8,4,2]=>[1,2,1,2,1,1]=>11011011=>4 [8,2,3,6,4,1,5,7]=>[1,7,6,3,5,8,4,2]=>[2,1,3,1,1]=>10110011=>4 [8,4,3,6,2,1,5,7]=>[1,5,6,3,7,8,4,2]=>[3,3,1,1]=>10010011=>4 [6,2,3,8,4,1,5,7]=>[3,7,6,1,5,8,4,2]=>[2,1,3,1,1]=>10110011=>4 [8,4,2,3,6,1,5,7]=>[1,5,7,6,3,8,4,2]=>[3,1,2,1,1]=>10011011=>4 [6,4,2,3,8,1,5,7]=>[3,5,7,6,1,8,4,2]=>[3,1,2,1,1]=>10011011=>4 [2,6,4,3,8,1,5,7]=>[7,3,5,6,1,8,4,2]=>[1,3,2,1,1]=>11001011=>4 [2,8,4,3,6,1,5,7]=>[7,1,5,6,3,8,4,2]=>[1,3,2,1,1]=>11001011=>4 [2,6,3,8,4,1,5,7]=>[7,3,6,1,5,8,4,2]=>[1,2,3,1,1]=>11010011=>4 [6,3,8,4,2,1,5,7]=>[3,6,1,5,7,8,4,2]=>[2,4,1,1]=>10100011=>4 [2,6,3,8,1,4,5,7]=>[7,3,6,1,8,5,4,2]=>[1,2,2,1,1,1]=>11010111=>4 [2,8,3,6,1,4,5,7]=>[7,1,6,3,8,5,4,2]=>[1,2,2,1,1,1]=>11010111=>4 [8,3,6,4,2,1,5,7]=>[1,6,3,5,7,8,4,2]=>[2,4,1,1]=>10100011=>4 [2,8,3,6,4,1,5,7]=>[7,1,6,3,5,8,4,2]=>[1,2,3,1,1]=>11010011=>4 [8,3,6,2,4,1,5,7]=>[1,6,3,7,5,8,4,2]=>[2,2,2,1,1]=>10101011=>6 [8,3,6,2,1,4,5,7]=>[1,6,3,7,8,5,4,2]=>[2,3,1,1,1]=>10100111=>4 [6,2,1,3,8,4,5,7]=>[3,7,8,6,1,5,4,2]=>[3,1,2,1,1]=>10011011=>4 [8,2,1,3,6,4,5,7]=>[1,7,8,6,3,5,4,2]=>[3,1,2,1,1]=>10011011=>4 [6,3,8,2,4,1,5,7]=>[3,6,1,7,5,8,4,2]=>[2,2,2,1,1]=>10101011=>6 [6,2,4,3,8,1,5,7]=>[3,7,5,6,1,8,4,2]=>[2,2,2,1,1]=>10101011=>6 [3,6,4,7,8,5,1,2]=>[6,3,5,2,1,4,8,7]=>[1,2,1,3,1]=>11011001=>4 [1,6,4,2,7,5,8,3]=>[8,3,5,7,2,4,1,6]=>[1,3,2,2]=>11001010=>5 [3,6,4,2,7,1,5,8]=>[6,3,5,7,2,8,4,1]=>[1,3,2,1,1]=>11001011=>4 [1,4,7,2,5,6,8,3]=>[8,5,2,7,4,3,1,6]=>[1,1,2,1,1,2]=>11101110=>3 [6,4,8,5,3,7,1,2]=>[3,5,1,4,6,2,8,7]=>[2,3,2,1]=>10100101=>6 [1,6,5,4,2,7,8,3]=>[8,3,4,5,7,2,1,6]=>[1,4,1,2]=>11000110=>3 [4,2,5,3,6,1,7,8]=>[5,7,4,6,3,8,2,1]=>[2,2,2,1,1]=>10101011=>6 [7,1,5,3,6,2,8,4]=>[2,8,4,6,3,7,1,5]=>[2,2,2,2]=>10101010=>7 [1,6,5,2,4,8,7,3]=>[8,3,4,7,5,1,2,6]=>[1,3,1,3]=>11001100=>3 [1,4,6,2,8,5,7,3]=>[8,5,3,7,1,4,2,6]=>[1,1,2,2,2]=>11101010=>5 [7,8,1,4,2,5,6,3]=>[2,1,8,5,7,4,3,6]=>[1,2,2,1,2]=>11010110=>5 [3,4,8,5,2,1,6,7]=>[6,5,1,4,7,8,3,2]=>[1,1,4,1,1]=>11100011=>2 [4,8,5,3,1,6,2,7]=>[5,1,4,6,8,3,7,2]=>[1,4,2,1]=>11000101=>4 [6,1,3,5,8,2,7,4]=>[3,8,6,4,1,7,2,5]=>[2,1,1,2,2]=>10111010=>5 [6,1,8,7,4,2,3,5]=>[3,8,1,2,5,7,6,4]=>[2,4,1,1]=>10100011=>4 [1,2,8,5,7,3,6,4]=>[8,7,1,4,2,6,3,5]=>[1,1,2,2,2]=>11101010=>5 [1,3,6,8,7,5,2,4]=>[8,6,3,1,2,4,7,5]=>[1,1,1,4,1]=>11110001=>2 [1,8,2,5,4,7,6,3]=>[8,1,7,4,5,2,3,6]=>[1,2,2,3]=>11010100=>5 [7,1,2,4,5,8,6,3]=>[2,8,7,5,4,1,3,6]=>[2,1,1,1,3]=>10111100=>3 [1,2,7,3,5,8,6,4]=>[8,7,2,6,4,1,3,5]=>[1,1,2,1,3]=>11101100=>3 [6,1,3,2,5,7,8,4]=>[3,8,6,7,4,2,1,5]=>[2,2,1,1,2]=>10101110=>5 [4,6,2,1,7,5,3,8]=>[5,3,7,8,2,4,6,1]=>[1,3,3,1]=>11001001=>4 [1,6,3,7,8,5,2,4]=>[8,3,6,2,1,4,7,5]=>[1,2,1,3,1]=>11011001=>4 [4,6,2,3,7,8,1,5]=>[5,3,7,6,2,1,8,4]=>[1,2,1,1,2,1]=>11011101=>4 [4,6,3,7,1,2,8,5]=>[5,3,6,2,8,7,1,4]=>[1,2,2,1,2]=>11010110=>5 [4,2,1,3,5,7,8,6]=>[5,7,8,6,4,2,1,3]=>[3,1,1,1,2]=>10011110=>3 [7,3,2,4,5,1,8,6]=>[2,6,7,5,4,8,1,3]=>[3,1,2,2]=>10011010=>5 [3,8,2,5,4,1,7,6]=>[6,1,7,4,5,8,2,3]=>[1,2,3,2]=>11010010=>5 [7,8,4,2,6,3,1,5]=>[2,1,5,7,3,6,8,4]=>[1,3,3,1]=>11001001=>4 [4,2,6,3,8,7,1,5]=>[5,7,3,6,1,2,8,4]=>[2,2,3,1]=>10101001=>6 [5,8,2,7,4,3,1,6]=>[4,1,7,2,5,6,8,3]=>[1,2,4,1]=>11010001=>4 [4,3,8,5,1,7,2,6]=>[5,6,1,4,8,2,7,3]=>[2,3,2,1]=>10100101=>6 [4,3,6,8,1,2,7,5]=>[5,6,3,1,8,7,2,4]=>[2,1,2,1,2]=>10110110=>5 [6,4,3,5,2,8,1,7]=>[3,5,6,4,7,1,8,2]=>[3,2,2,1]=>10010101=>6 [6,5,3,8,4,2,1,7]=>[3,4,6,1,5,7,8,2]=>[3,4,1]=>10010001=>4 [3,8,1,7,5,6,4,2]=>[6,1,8,2,4,3,5,7]=>[1,2,2,3]=>11010100=>5 [8,2,5,7,3,6,4,1]=>[1,7,4,2,6,3,5,8]=>[2,1,2,3]=>10110100=>5 [1,8,6,7,5,3,4,2]=>[8,1,3,2,4,6,5,7]=>[1,2,3,2]=>11010010=>5 [8,2,6,7,5,3,4,1]=>[1,7,3,2,4,6,5,8]=>[2,1,3,2]=>10110010=>5 [1,5,8,7,2,6,4,3]=>[8,4,1,2,7,3,5,6]=>[1,1,3,3]=>11100100=>3 [5,4,8,6,2,3,7,1]=>[4,5,1,3,7,6,2,8]=>[2,3,1,2]=>10100110=>5 [2,7,6,1,3,5,4,8]=>[7,2,3,8,6,4,5,1]=>[1,3,1,2,1]=>11001101=>4 [6,4,1,8,2,5,7,3]=>[3,5,8,1,7,4,2,6]=>[3,2,1,2]=>10010110=>5 [2,8,6,1,3,5,4,7]=>[7,1,3,8,6,4,5,2]=>[1,3,1,2,1]=>11001101=>4 [4,1,3,6,5,8,7,2]=>[5,8,6,3,4,1,2,7]=>[2,1,2,3]=>10110100=>5 [2,1,6,3,5,8,7,4]=>[7,8,3,6,4,1,2,5]=>[2,2,1,3]=>10101100=>5 [2,4,1,3,8,5,7,6]=>[7,5,8,6,1,4,2,3]=>[1,2,1,2,2]=>11011010=>5 [2,4,1,3,5,8,7,6]=>[7,5,8,6,4,1,2,3]=>[1,2,1,1,3]=>11011100=>3 [2,6,1,3,5,8,7,4]=>[7,3,8,6,4,1,2,5]=>[1,2,1,1,3]=>11011100=>3 [4,6,1,3,5,8,7,2]=>[5,3,8,6,4,1,2,7]=>[1,2,1,1,3]=>11011100=>3 [6,1,4,3,5,8,7,2]=>[3,8,5,6,4,1,2,7]=>[2,2,1,3]=>10101100=>5 [6,4,1,3,5,8,7,2]=>[3,5,8,6,4,1,2,7]=>[3,1,1,3]=>10011100=>3 [6,2,1,3,5,8,7,4]=>[3,7,8,6,4,1,2,5]=>[3,1,1,3]=>10011100=>3 [4,2,1,3,6,5,7,8]=>[5,7,8,6,3,4,2,1]=>[3,1,2,1,1]=>10011011=>4 [4,2,1,6,3,5,7,8]=>[5,7,8,3,6,4,2,1]=>[3,2,1,1,1]=>10010111=>4 [6,2,1,8,3,5,7,4]=>[3,7,8,1,6,4,2,5]=>[3,2,1,2]=>10010110=>5 [6,2,1,3,8,5,7,4]=>[3,7,8,6,1,4,2,5]=>[3,1,2,2]=>10011010=>5 [6,1,4,3,8,5,7,2]=>[3,8,5,6,1,4,2,7]=>[2,2,2,2]=>10101010=>7 [1,6,4,3,8,5,7,2]=>[8,3,5,6,1,4,2,7]=>[1,3,2,2]=>11001010=>5 [8,1,4,3,6,5,7,2]=>[1,8,5,6,3,4,2,7]=>[2,2,2,2]=>10101010=>7 [8,4,1,3,6,5,7,2]=>[1,5,8,6,3,4,2,7]=>[3,1,2,2]=>10011010=>5 [8,2,1,3,6,5,7,4]=>[1,7,8,6,3,4,2,5]=>[3,1,2,2]=>10011010=>5 [8,2,1,6,3,5,7,4]=>[1,7,8,3,6,4,2,5]=>[3,2,1,2]=>10010110=>5 [8,2,1,4,3,5,7,6]=>[1,7,8,5,6,4,2,3]=>[3,2,1,2]=>10010110=>5 [6,2,1,4,3,5,7,8]=>[3,7,8,5,6,4,2,1]=>[3,2,1,1,1]=>10010111=>4 [8,2,4,1,3,5,7,6]=>[1,7,5,8,6,4,2,3]=>[2,2,1,1,2]=>10101110=>5 [8,2,6,1,3,5,7,4]=>[1,7,3,8,6,4,2,5]=>[2,2,1,1,2]=>10101110=>5 [8,4,6,1,3,5,7,2]=>[1,5,3,8,6,4,2,7]=>[2,2,1,1,2]=>10101110=>5 [8,4,1,6,3,5,7,2]=>[1,5,8,3,6,4,2,7]=>[3,2,1,2]=>10010110=>5 [8,1,4,6,3,5,7,2]=>[1,8,5,3,6,4,2,7]=>[2,1,2,1,2]=>10110110=>5 [1,8,4,6,3,5,7,2]=>[8,1,5,3,6,4,2,7]=>[1,2,2,1,2]=>11010110=>5 [1,6,4,8,3,5,7,2]=>[8,3,5,1,6,4,2,7]=>[1,2,2,1,2]=>11010110=>5 [6,4,1,8,3,5,7,2]=>[3,5,8,1,6,4,2,7]=>[3,2,1,2]=>10010110=>5 [6,4,8,1,3,5,7,2]=>[3,5,1,8,6,4,2,7]=>[2,2,1,1,2]=>10101110=>5 [6,2,8,1,3,5,7,4]=>[3,7,1,8,6,4,2,5]=>[2,2,1,1,2]=>10101110=>5 [4,2,8,1,3,5,7,6]=>[5,7,1,8,6,4,2,3]=>[2,2,1,1,2]=>10101110=>5 [2,6,8,1,3,5,7,4]=>[7,3,1,8,6,4,2,5]=>[1,1,2,1,1,2]=>11101110=>3 [4,6,8,1,3,5,7,2]=>[5,3,1,8,6,4,2,7]=>[1,1,2,1,1,2]=>11101110=>3 [4,6,1,8,3,5,7,2]=>[5,3,8,1,6,4,2,7]=>[1,2,2,1,2]=>11010110=>5 [4,1,6,8,3,5,7,2]=>[5,8,3,1,6,4,2,7]=>[2,1,2,1,2]=>10110110=>5 [1,4,6,3,8,5,7,2]=>[8,5,3,6,1,4,2,7]=>[1,1,2,2,2]=>11101010=>5 [4,6,1,3,8,5,7,2]=>[5,3,8,6,1,4,2,7]=>[1,2,1,2,2]=>11011010=>5 [2,4,1,8,3,5,7,6]=>[7,5,8,1,6,4,2,3]=>[1,2,2,1,2]=>11010110=>5 [2,1,6,8,3,5,7,4]=>[7,8,3,1,6,4,2,5]=>[2,1,2,1,2]=>10110110=>5 [4,1,3,6,8,5,7,2]=>[5,8,6,3,1,4,2,7]=>[2,1,1,2,2]=>10111010=>5 [1,4,3,6,8,5,7,2]=>[8,5,6,3,1,4,2,7]=>[1,2,1,2,2]=>11011010=>5 [4,1,3,8,6,5,7,2]=>[5,8,6,1,3,4,2,7]=>[2,1,3,2]=>10110010=>5 [2,1,8,3,6,5,7,4]=>[7,8,1,6,3,4,2,5]=>[2,2,2,2]=>10101010=>7 [2,1,6,4,3,5,7,8]=>[7,8,3,5,6,4,2,1]=>[2,3,1,1,1]=>10100111=>4 [2,6,1,4,3,5,7,8]=>[7,3,8,5,6,4,2,1]=>[1,2,2,1,1,1]=>11010111=>4 [2,8,1,4,3,5,7,6]=>[7,1,8,5,6,4,2,3]=>[1,2,2,1,2]=>11010110=>5 [2,8,1,6,3,5,7,4]=>[7,1,8,3,6,4,2,5]=>[1,2,2,1,2]=>11010110=>5 [4,8,1,3,6,5,7,2]=>[5,1,8,6,3,4,2,7]=>[1,2,1,2,2]=>11011010=>5 [1,4,8,3,6,5,7,2]=>[8,5,1,6,3,4,2,7]=>[1,1,2,2,2]=>11101010=>5 [1,4,8,6,3,5,7,2]=>[8,5,1,3,6,4,2,7]=>[1,1,3,1,2]=>11100110=>3 [4,8,1,6,3,5,7,2]=>[5,1,8,3,6,4,2,7]=>[1,2,2,1,2]=>11010110=>5 [4,8,6,1,3,5,7,2]=>[5,1,3,8,6,4,2,7]=>[1,3,1,1,2]=>11001110=>3 [2,8,6,1,3,5,7,4]=>[7,1,3,8,6,4,2,5]=>[1,3,1,1,2]=>11001110=>3 [2,8,4,1,3,5,7,6]=>[7,1,5,8,6,4,2,3]=>[1,3,1,1,2]=>11001110=>3 [2,6,4,1,3,5,7,8]=>[7,3,5,8,6,4,2,1]=>[1,3,1,1,1,1]=>11001111=>2 [4,6,2,1,3,5,7,8]=>[5,3,7,8,6,4,2,1]=>[1,3,1,1,1,1]=>11001111=>2 [6,8,1,4,3,5,7,2]=>[3,1,8,5,6,4,2,7]=>[1,2,2,1,2]=>11010110=>5 [6,1,8,4,3,5,7,2]=>[3,8,1,5,6,4,2,7]=>[2,3,1,2]=>10100110=>5 [1,6,8,4,3,5,7,2]=>[8,3,1,5,6,4,2,7]=>[1,1,3,1,2]=>11100110=>3 [1,8,6,4,3,5,7,2]=>[8,1,3,5,6,4,2,7]=>[1,4,1,2]=>11000110=>3 [8,1,6,4,3,5,7,2]=>[1,8,3,5,6,4,2,7]=>[2,3,1,2]=>10100110=>5 [8,6,1,4,3,5,7,2]=>[1,3,8,5,6,4,2,7]=>[3,2,1,2]=>10010110=>5 [8,6,4,1,3,5,7,2]=>[1,3,5,8,6,4,2,7]=>[4,1,1,2]=>10001110=>3 [8,6,2,1,3,5,7,4]=>[1,3,7,8,6,4,2,5]=>[4,1,1,2]=>10001110=>3 [8,4,2,1,3,5,7,6]=>[1,5,7,8,6,4,2,3]=>[4,1,1,2]=>10001110=>3 [7,8,6,5,2,1,4,3]=>[2,1,3,4,7,8,5,6]=>[1,5,2]=>11000010=>3 [5,7,4,1,8,6,3,2]=>[4,2,5,8,1,3,6,7]=>[1,3,4]=>11001000=>3 [5,6,4,2,8,3,7,1]=>[4,3,5,7,1,6,2,8]=>[1,3,2,2]=>11001010=>5 [5,6,4,2,7,3,1,8]=>[4,3,5,7,2,6,8,1]=>[1,3,3,1]=>11001001=>4 [5,7,1,4,6,3,2,8]=>[4,2,8,5,3,6,7,1]=>[1,2,1,3,1]=>11011001=>4 [5,8,1,4,6,3,7,2]=>[4,1,8,5,3,6,2,7]=>[1,2,1,2,2]=>11011010=>5 [3,6,7,4,5,8,2,1]=>[6,3,2,5,4,1,7,8]=>[1,1,2,1,3]=>11101100=>3 [3,5,7,4,6,8,2,1]=>[6,4,2,5,3,1,7,8]=>[1,1,2,1,3]=>11101100=>3 [6,8,4,1,7,2,5,3]=>[3,1,5,8,2,7,4,6]=>[1,3,2,2]=>11001010=>5 [5,4,6,1,7,8,3,2]=>[4,5,3,8,2,1,6,7]=>[2,2,1,3]=>10101100=>5 [5,6,4,1,8,7,3,2]=>[4,3,5,8,1,2,6,7]=>[1,3,4]=>11001000=>3 [3,5,8,4,6,7,2,1]=>[6,4,1,5,3,2,7,8]=>[1,1,2,1,3]=>11101100=>3 [3,6,8,4,5,7,2,1]=>[6,3,1,5,4,2,7,8]=>[1,1,2,1,3]=>11101100=>3 [3,7,8,4,5,6,2,1]=>[6,2,1,5,4,3,7,8]=>[1,1,2,1,3]=>11101100=>3 [6,8,1,4,5,3,7,2]=>[3,1,8,5,4,6,2,7]=>[1,2,1,2,2]=>11011010=>5 [6,7,1,4,5,3,2,8]=>[3,2,8,5,4,6,7,1]=>[1,2,1,3,1]=>11011001=>4 [3,7,1,5,4,6,2,8]=>[6,2,8,4,5,3,7,1]=>[1,2,2,2,1]=>11010101=>6 [3,8,1,5,4,6,7,2]=>[6,1,8,4,5,3,2,7]=>[1,2,2,1,2]=>11010110=>5 [3,7,1,5,4,6,8,2]=>[6,2,8,4,5,3,1,7]=>[1,2,2,1,2]=>11010110=>5 [6,7,1,4,5,3,8,2]=>[3,2,8,5,4,6,1,7]=>[1,2,1,2,2]=>11011010=>5 [5,7,1,4,6,3,8,2]=>[4,2,8,5,3,6,1,7]=>[1,2,1,2,2]=>11011010=>5 [5,6,4,2,7,3,8,1]=>[4,3,5,7,2,6,1,8]=>[1,3,2,2]=>11001010=>5 [5,4,7,2,8,3,1,6]=>[4,5,2,7,1,6,8,3]=>[2,2,3,1]=>10101001=>6 [5,4,7,2,8,3,6,1]=>[4,5,2,7,1,6,3,8]=>[2,2,2,2]=>10101010=>7 [5,6,4,2,8,3,1,7]=>[4,3,5,7,1,6,8,2]=>[1,3,3,1]=>11001001=>4 [5,8,1,4,6,3,2,7]=>[4,1,8,5,3,6,7,2]=>[1,2,1,3,1]=>11011001=>4 [3,8,1,5,4,6,2,7]=>[6,1,8,4,5,3,7,2]=>[1,2,2,2,1]=>11010101=>6 [3,6,1,5,4,2,7,8]=>[6,3,8,4,5,7,2,1]=>[1,2,3,1,1]=>11010011=>4 [3,6,1,5,4,8,2,7]=>[6,3,8,4,5,1,7,2]=>[1,2,2,2,1]=>11010101=>6 [6,8,3,1,4,2,5,7]=>[3,1,6,8,5,7,4,2]=>[1,3,2,1,1]=>11001011=>4 [7,3,8,1,4,2,5,6]=>[2,6,1,8,5,7,4,3]=>[2,2,2,1,1]=>10101011=>6 [6,7,3,1,4,2,8,5]=>[3,2,6,8,5,7,1,4]=>[1,3,2,2]=>11001010=>5 [3,6,1,5,4,7,8,2]=>[6,3,8,4,5,2,1,7]=>[1,2,2,1,2]=>11010110=>5 [3,4,1,2,7,6,5,8]=>[6,5,8,7,2,3,4,1]=>[1,2,1,3,1]=>11011001=>4 [3,4,1,2,6,8,7,5]=>[6,5,8,7,3,1,2,4]=>[1,2,1,1,3]=>11011100=>3 [6,8,3,1,4,7,2,5]=>[3,1,6,8,5,2,7,4]=>[1,3,1,2,1]=>11001101=>4 [6,4,7,2,8,5,1,3]=>[3,5,2,7,1,4,8,6]=>[2,2,3,1]=>10101001=>6 [5,8,1,4,7,3,2,6]=>[4,1,8,5,2,6,7,3]=>[1,2,1,3,1]=>11011001=>4 [7,8,1,4,5,3,2,6]=>[2,1,8,5,4,6,7,3]=>[1,2,1,3,1]=>11011001=>4 [3,8,1,5,4,7,2,6]=>[6,1,8,4,5,2,7,3]=>[1,2,2,2,1]=>11010101=>6 [3,6,1,5,4,8,7,2]=>[6,3,8,4,5,1,2,7]=>[1,2,2,3]=>11010100=>5 [3,6,1,5,4,7,2,8]=>[6,3,8,4,5,2,7,1]=>[1,2,2,2,1]=>11010101=>6 [6,7,3,1,4,2,5,8]=>[3,2,6,8,5,7,4,1]=>[1,3,2,1,1]=>11001011=>4 [6,8,3,1,4,2,7,5]=>[3,1,6,8,5,7,2,4]=>[1,3,2,2]=>11001010=>5 [7,8,3,1,4,6,2,5]=>[2,1,6,8,5,3,7,4]=>[1,3,1,2,1]=>11001101=>4 [7,8,4,2,6,5,1,3]=>[2,1,5,7,3,4,8,6]=>[1,3,3,1]=>11001001=>4 [6,5,8,7,3,4,2,1]=>[3,4,1,2,6,5,7,8]=>[2,3,3]=>10100100=>5 [7,8,3,1,4,6,5,2]=>[2,1,6,8,5,3,4,7]=>[1,3,1,3]=>11001100=>3 [6,7,3,1,4,5,2,8]=>[3,2,6,8,5,4,7,1]=>[1,3,1,2,1]=>11001101=>4 [3,7,1,5,4,2,6,8]=>[6,2,8,4,5,7,3,1]=>[1,2,3,1,1]=>11010011=>4 [3,8,1,5,4,2,7,6]=>[6,1,8,4,5,7,2,3]=>[1,2,3,2]=>11010010=>5 [5,8,1,4,7,3,6,2]=>[4,1,8,5,2,6,3,7]=>[1,2,1,2,2]=>11011010=>5 [6,8,4,2,7,5,3,1]=>[3,1,5,7,2,4,6,8]=>[1,3,4]=>11001000=>3 [6,4,7,2,8,5,3,1]=>[3,5,2,7,1,4,6,8]=>[2,2,4]=>10101000=>5 [6,3,7,1,4,8,5,2]=>[3,6,2,8,5,1,4,7]=>[2,2,1,3]=>10101100=>5 [6,8,3,1,4,7,5,2]=>[3,1,6,8,5,2,4,7]=>[1,3,1,3]=>11001100=>3 [3,7,1,5,4,8,6,2]=>[6,2,8,4,5,1,3,7]=>[1,2,2,3]=>11010100=>5 [3,4,1,2,8,5,7,6]=>[6,5,8,7,1,4,2,3]=>[1,2,1,2,2]=>11011010=>5 [3,4,1,2,5,8,7,6]=>[6,5,8,7,4,1,2,3]=>[1,2,1,1,3]=>11011100=>3 [3,7,1,5,4,2,8,6]=>[6,2,8,4,5,7,1,3]=>[1,2,3,2]=>11010010=>5 [6,7,3,1,4,5,8,2]=>[3,2,6,8,5,4,1,7]=>[1,3,1,1,2]=>11001110=>3 [7,3,8,1,4,5,2,6]=>[2,6,1,8,5,4,7,3]=>[2,2,1,2,1]=>10101101=>6 [7,3,8,1,4,5,6,2]=>[2,6,1,8,5,4,3,7]=>[2,2,1,1,2]=>10101110=>5 [6,8,3,1,4,5,2,7]=>[3,1,6,8,5,4,7,2]=>[1,3,1,2,1]=>11001101=>4 [3,8,1,5,4,2,6,7]=>[6,1,8,4,5,7,3,2]=>[1,2,3,1,1]=>11010011=>4 [9,8,7,6,5,4,2,1,3]=>[1,2,3,4,5,6,8,9,7]=>[8,1]=>100000001=>2 [9,8,7,6,5,3,2,1,4]=>[1,2,3,4,5,7,8,9,6]=>[8,1]=>100000001=>2 [8,7,6,3,5,2,1,4]=>[1,2,3,6,4,7,8,5]=>[4,3,1]=>10001001=>4 [9,8,7,6,4,3,2,1,5]=>[1,2,3,4,6,7,8,9,5]=>[8,1]=>100000001=>2 [8,7,4,6,3,2,1,5]=>[1,2,5,3,6,7,8,4]=>[3,4,1]=>10010001=>4 [9,8,7,5,4,3,2,1,6]=>[1,2,3,5,6,7,8,9,4]=>[8,1]=>100000001=>2 [8,5,7,4,3,2,1,6]=>[1,4,2,5,6,7,8,3]=>[2,5,1]=>10100001=>4 [9,8,6,5,4,3,2,1,7]=>[1,2,4,5,6,7,8,9,3]=>[8,1]=>100000001=>2 [9,7,6,5,4,3,2,1,8]=>[1,3,4,5,6,7,8,9,2]=>[8,1]=>100000001=>2 [9,8,7,6,5,4,1,3,2]=>[1,2,3,4,5,6,9,7,8]=>[7,2]=>100000010=>3 [9,8,7,6,5,2,4,1,3]=>[1,2,3,4,5,8,6,9,7]=>[6,2,1]=>100000101=>4 [9,8,7,6,3,5,2,1,4]=>[1,2,3,4,7,5,8,9,6]=>[5,3,1]=>100001001=>4 [8,7,6,2,5,4,1,3]=>[1,2,3,7,4,5,8,6]=>[4,3,1]=>10001001=>4 [9,8,7,4,6,3,2,1,5]=>[1,2,3,6,4,7,8,9,5]=>[4,4,1]=>100010001=>4 [8,5,4,7,3,2,1,6]=>[1,4,5,2,6,7,8,3]=>[3,4,1]=>10010001=>4 [8,7,3,6,5,2,1,4]=>[1,2,6,3,4,7,8,5]=>[3,4,1]=>10010001=>4 [9,8,5,7,4,3,2,1,6]=>[1,2,5,3,6,7,8,9,4]=>[3,5,1]=>100100001=>4 [6,5,8,4,3,2,1,7]=>[3,4,1,5,6,7,8,2]=>[2,5,1]=>10100001=>4 [8,4,7,6,3,2,1,5]=>[1,5,2,3,6,7,8,4]=>[2,5,1]=>10100001=>4 [9,6,8,5,4,3,2,1,7]=>[1,4,2,5,6,7,8,9,3]=>[2,6,1]=>101000001=>4 [5,8,7,4,3,2,1,6]=>[4,1,2,5,6,7,8,3]=>[1,6,1]=>11000001=>2 [5,8,6,2,3,4,7,1]=>[4,1,3,7,6,5,2,8]=>[1,3,1,1,2]=>11001110=>3 [4,5,2,7,3,1,8,6]=>[5,4,7,2,6,8,1,3]=>[1,2,3,2]=>11010010=>5 [4,8,2,6,3,5,7,1]=>[5,1,7,3,6,4,2,8]=>[1,2,2,1,2]=>11010110=>5 [4,3,7,8,6,5,1,2]=>[5,6,2,1,3,4,8,7]=>[2,1,4,1]=>10110001=>4 [4,1,7,2,5,8,6,3]=>[5,8,2,7,4,1,3,6]=>[2,2,1,3]=>10101100=>5 [7,8,2,1,5,6,4,3]=>[2,1,7,8,4,3,5,6]=>[1,3,1,3]=>11001100=>3 [1,6,2,5,8,4,3,7]=>[8,3,7,4,1,5,6,2]=>[1,2,1,3,1]=>11011001=>4 [2,1,8,7,4,5,3,6]=>[7,8,1,2,5,4,6,3]=>[2,3,2,1]=>10100101=>6 [7,3,1,6,8,5,2,4]=>[2,6,8,3,1,4,7,5]=>[3,1,3,1]=>10011001=>4 [1,5,8,6,2,3,7,4]=>[8,4,1,3,7,6,2,5]=>[1,1,3,1,2]=>11100110=>3 [2,4,8,3,1,6,5,7]=>[7,5,1,6,8,3,4,2]=>[1,1,3,2,1]=>11100101=>4 [5,2,7,1,8,6,3,4]=>[4,7,2,8,1,3,6,5]=>[2,2,3,1]=>10101001=>6 [2,6,1,3,8,7,4,5]=>[7,3,8,6,1,2,5,4]=>[1,2,1,3,1]=>11011001=>4 [6,5,2,8,1,7,3,4]=>[3,4,7,1,8,2,6,5]=>[3,2,2,1]=>10010101=>6 [2,8,3,5,1,7,4,6]=>[7,1,6,4,8,2,5,3]=>[1,2,2,2,1]=>11010101=>6 [5,4,3,8,7,1,6,2]=>[4,5,6,1,2,8,3,7]=>[3,3,2]=>10010010=>5 [8,5,4,3,7,2,6,1]=>[1,4,5,6,2,7,3,8]=>[4,2,2]=>10001010=>5 [8,3,7,4,2,6,5,1]=>[1,6,2,5,7,3,4,8]=>[2,3,3]=>10100100=>5 [2,8,6,5,1,7,4,3]=>[7,1,3,4,8,2,5,6]=>[1,4,3]=>11000100=>3 [6,3,2,8,4,1,7,5]=>[3,6,7,1,5,8,2,4]=>[3,3,2]=>10010010=>5 [2,8,3,4,1,7,5,6]=>[7,1,6,5,8,2,4,3]=>[1,2,2,2,1]=>11010101=>6 [5,4,2,8,3,1,7,6]=>[4,5,7,1,6,8,2,3]=>[3,3,2]=>10010010=>5 [2,8,4,3,1,7,6,5]=>[7,1,5,6,8,2,3,4]=>[1,4,3]=>11000100=>3 [2,8,5,3,1,7,6,4]=>[7,1,4,6,8,2,3,5]=>[1,4,3]=>11000100=>3 [2,8,6,4,1,7,5,3]=>[7,1,3,5,8,2,4,6]=>[1,4,3]=>11000100=>3 [3,8,7,5,1,6,4,2]=>[6,1,2,4,8,3,5,7]=>[1,4,3]=>11000100=>3 [8,3,7,5,2,6,4,1]=>[1,6,2,4,7,3,5,8]=>[2,3,3]=>10100100=>5 [8,4,7,6,2,5,3,1]=>[1,5,2,3,7,4,6,8]=>[2,3,3]=>10100100=>5 [4,8,7,6,1,5,3,2]=>[5,1,2,3,8,4,6,7]=>[1,4,3]=>11000100=>3 [7,4,8,6,2,1,5,3]=>[2,5,1,3,7,8,4,6]=>[2,4,2]=>10100010=>5 [7,3,8,5,2,1,6,4]=>[2,6,1,4,7,8,3,5]=>[2,4,2]=>10100010=>5 [7,3,8,4,2,1,6,5]=>[2,6,1,5,7,8,3,4]=>[2,4,2]=>10100010=>5 [7,5,4,3,8,2,1,6]=>[2,4,5,6,1,7,8,3]=>[4,3,1]=>10001001=>4 [3,7,8,4,1,2,6,5]=>[6,2,1,5,8,7,3,4]=>[1,1,3,1,2]=>11100110=>3 [3,7,8,5,1,2,6,4]=>[6,2,1,4,8,7,3,5]=>[1,1,3,1,2]=>11100110=>3 [4,7,8,6,1,2,5,3]=>[5,2,1,3,8,7,4,6]=>[1,1,3,1,2]=>11100110=>3 [8,7,4,6,3,5,2,1]=>[1,2,5,3,6,4,7,8]=>[3,2,3]=>10010100=>5 [5,7,8,6,1,2,4,3]=>[4,2,1,3,8,7,5,6]=>[1,1,3,1,2]=>11100110=>3 [6,4,7,8,3,1,2,5]=>[3,5,2,1,6,8,7,4]=>[2,1,3,1,1]=>10110011=>4 [7,3,4,8,2,1,5,6]=>[2,6,5,1,7,8,4,3]=>[2,1,3,1,1]=>10110011=>4 [7,6,4,8,3,2,1,5]=>[2,3,5,1,6,7,8,4]=>[3,4,1]=>10010001=>4 [7,5,8,6,2,1,4,3]=>[2,4,1,3,7,8,5,6]=>[2,4,2]=>10100010=>5 [6,5,8,7,3,1,4,2]=>[3,4,1,2,6,8,5,7]=>[2,4,2]=>10100010=>5 [2,4,8,3,1,5,7,6]=>[7,5,1,6,8,4,2,3]=>[1,1,3,1,2]=>11100110=>3 [6,3,2,4,8,1,5,7]=>[3,6,7,5,1,8,4,2]=>[3,1,2,1,1]=>10011011=>4 [2,3,8,4,1,6,7,5]=>[7,6,1,5,8,3,2,4]=>[1,1,3,1,2]=>11100110=>3 [2,3,8,5,1,6,7,4]=>[7,6,1,4,8,3,2,5]=>[1,1,3,1,2]=>11100110=>3 [6,4,8,7,3,1,5,2]=>[3,5,1,2,6,8,4,7]=>[2,4,2]=>10100010=>5 [8,6,4,7,3,2,5,1]=>[1,3,5,2,6,7,4,8]=>[3,3,2]=>10010010=>5 [8,3,4,7,2,5,6,1]=>[1,6,5,2,7,4,3,8]=>[2,1,2,1,2]=>10110110=>5 [3,4,8,7,1,5,6,2]=>[6,5,1,2,8,4,3,7]=>[1,1,3,1,2]=>11100110=>3 [2,4,8,6,1,5,7,3]=>[7,5,1,3,8,4,2,6]=>[1,1,3,1,2]=>11100110=>3 [2,5,8,6,1,4,7,3]=>[7,4,1,3,8,5,2,6]=>[1,1,3,1,2]=>11100110=>3 [8,3,5,7,2,4,6,1]=>[1,6,4,2,7,5,3,8]=>[2,1,2,1,2]=>10110110=>5 [8,4,6,7,2,3,5,1]=>[1,5,3,2,7,6,4,8]=>[2,1,2,1,2]=>10110110=>5 [4,6,8,7,1,3,5,2]=>[5,3,1,2,8,6,4,7]=>[1,1,3,1,2]=>11100110=>3 [2,6,8,5,1,3,7,4]=>[7,3,1,4,8,6,2,5]=>[1,1,3,1,2]=>11100110=>3 [2,6,8,4,1,3,7,5]=>[7,3,1,5,8,6,2,4]=>[1,1,3,1,2]=>11100110=>3 [2,5,8,3,1,4,7,6]=>[7,4,1,6,8,5,2,3]=>[1,1,3,1,2]=>11100110=>3 [5,6,8,7,1,3,4,2]=>[4,3,1,2,8,6,5,7]=>[1,1,3,1,2]=>11100110=>3 [7,4,6,8,2,1,3,5]=>[2,5,3,1,7,8,6,4]=>[2,1,3,1,1]=>10110011=>4 [2,3,5,4,1,8,6,7]=>[7,6,4,5,8,1,3,2]=>[1,1,3,2,1]=>11100101=>4 [2,3,6,4,8,1,5,7]=>[7,6,3,5,1,8,4,2]=>[1,1,2,2,1,1]=>11101011=>4 [1,8,4,6,3,5,2,7]=>[8,1,5,3,6,4,7,2]=>[1,2,2,2,1]=>11010101=>6 [5,4,8,6,2,1,3,7]=>[4,5,1,3,7,8,6,2]=>[2,4,1,1]=>10100011=>4 [2,3,6,8,1,5,4,7]=>[7,6,3,1,8,4,5,2]=>[1,1,1,2,2,1]=>11110101=>4 [2,5,6,1,4,7,8,3]=>[7,4,3,8,5,2,1,6]=>[1,1,2,1,1,2]=>11101110=>3 [2,5,6,1,4,7,3,8]=>[7,4,3,8,5,2,6,1]=>[1,1,2,1,2,1]=>11101101=>4 [7,3,5,1,6,8,4,2]=>[2,6,4,8,3,1,5,7]=>[2,2,1,3]=>10101100=>5 [2,7,6,1,8,5,4,3]=>[7,2,3,8,1,4,5,6]=>[1,3,4]=>11001000=>3 [2,7,6,8,1,4,5,3]=>[7,2,3,1,8,5,4,6]=>[1,2,2,1,2]=>11010110=>5 [1,8,7,6,3,2,5,4]=>[8,1,2,3,6,7,4,5]=>[1,5,2]=>11000010=>3 [1,8,7,6,3,2,4,5]=>[8,1,2,3,6,7,5,4]=>[1,5,1,1]=>11000011=>2 [5,7,8,6,2,3,4,1]=>[4,2,1,3,7,6,5,8]=>[1,1,3,1,2]=>11100110=>3 [2,7,6,1,8,5,3,4]=>[7,2,3,8,1,4,6,5]=>[1,3,3,1]=>11001001=>4 [6,3,5,1,7,2,4,8]=>[3,6,4,8,2,7,5,1]=>[2,2,2,1,1]=>10101011=>6 [2,3,4,7,6,1,5,8]=>[7,6,5,2,3,8,4,1]=>[1,1,1,3,1,1]=>11110011=>2 [7,3,5,8,4,1,2,6]=>[2,6,4,1,5,8,7,3]=>[2,1,3,1,1]=>10110011=>4 [1,8,4,5,2,7,3,6]=>[8,1,5,4,7,2,6,3]=>[1,2,2,2,1]=>11010101=>6 [1,8,4,5,2,7,6,3]=>[8,1,5,4,7,2,3,6]=>[1,2,2,3]=>11010100=>5 [7,3,5,8,4,1,6,2]=>[2,6,4,1,5,8,3,7]=>[2,1,3,2]=>10110010=>5 [2,7,6,4,8,5,1,3]=>[7,2,3,5,1,4,8,6]=>[1,3,3,1]=>11001001=>4 [7,3,5,4,6,8,1,2]=>[2,6,4,5,3,1,8,7]=>[2,2,1,2,1]=>10101101=>6 [6,3,5,4,7,1,8,2]=>[3,6,4,5,2,8,1,7]=>[2,2,2,2]=>10101010=>7 [6,3,5,4,7,1,2,8]=>[3,6,4,5,2,8,7,1]=>[2,2,2,1,1]=>10101011=>6 [3,4,1,5,6,8,7,2]=>[6,5,8,4,3,1,2,7]=>[1,2,1,1,3]=>11011100=>3 [3,7,1,6,8,5,2,4]=>[6,2,8,3,1,4,7,5]=>[1,2,1,3,1]=>11011001=>4 [2,3,1,8,6,4,7,5]=>[7,6,8,1,3,5,2,4]=>[1,2,3,2]=>11010010=>5 [1,8,4,3,6,2,5,7]=>[8,1,5,6,3,7,4,2]=>[1,3,2,1,1]=>11001011=>4 [2,3,1,8,6,4,5,7]=>[7,6,8,1,3,5,4,2]=>[1,2,3,1,1]=>11010011=>4 [3,7,1,6,8,5,4,2]=>[6,2,8,3,1,4,5,7]=>[1,2,1,4]=>11011000=>3 [6,3,5,4,7,2,1,8]=>[3,6,4,5,2,7,8,1]=>[2,2,3,1]=>10101001=>6 [7,3,5,4,6,8,2,1]=>[2,6,4,5,3,1,7,8]=>[2,2,1,3]=>10101100=>5 [2,7,6,4,8,5,3,1]=>[7,2,3,5,1,4,6,8]=>[1,3,4]=>11001000=>3 [1,8,4,5,2,6,3,7]=>[8,1,5,4,7,3,6,2]=>[1,2,2,2,1]=>11010101=>6 [6,4,8,5,3,1,2,7]=>[3,5,1,4,6,8,7,2]=>[2,4,1,1]=>10100011=>4 [7,3,5,8,4,6,2,1]=>[2,6,4,1,5,3,7,8]=>[2,1,2,3]=>10110100=>5 [2,3,4,6,5,8,1,7]=>[7,6,5,3,4,1,8,2]=>[1,1,1,2,2,1]=>11110101=>4 [2,3,4,7,5,1,8,6]=>[7,6,5,2,4,8,1,3]=>[1,1,1,3,2]=>11110010=>3 [2,3,4,7,5,1,6,8]=>[7,6,5,2,4,8,3,1]=>[1,1,1,3,1,1]=>11110011=>2 [2,3,4,7,1,6,5,8]=>[7,6,5,2,8,3,4,1]=>[1,1,1,2,2,1]=>11110101=>4 [2,3,4,7,1,6,8,5]=>[7,6,5,2,8,3,1,4]=>[1,1,1,2,1,2]=>11110110=>3 [2,3,4,6,1,8,7,5]=>[7,6,5,3,8,1,2,4]=>[1,1,1,2,3]=>11110100=>3 [6,3,5,8,4,2,7,1]=>[3,6,4,1,5,7,2,8]=>[2,1,3,2]=>10110010=>5 [7,4,8,5,3,2,1,6]=>[2,5,1,4,6,7,8,3]=>[2,5,1]=>10100001=>4 [1,8,4,5,2,3,6,7]=>[8,1,5,4,7,6,3,2]=>[1,2,2,1,1,1]=>11010111=>4 [7,4,8,5,3,2,6,1]=>[2,5,1,4,6,7,3,8]=>[2,4,2]=>10100010=>5 [6,3,5,8,4,2,1,7]=>[3,6,4,1,5,7,8,2]=>[2,1,4,1]=>10110001=>4 [5,2,4,6,8,3,7,1]=>[4,7,5,3,1,6,2,8]=>[2,1,1,2,2]=>10111010=>5 [1,5,7,4,6,3,2,8]=>[8,4,2,5,3,6,7,1]=>[1,1,2,3,1]=>11101001=>4 [5,2,8,4,6,3,7,1]=>[4,7,1,5,3,6,2,8]=>[2,2,2,2]=>10101010=>7 [3,8,5,4,6,7,2,1]=>[6,1,4,5,3,2,7,8]=>[1,3,1,3]=>11001100=>3 [6,8,3,4,5,7,2,1]=>[3,1,6,5,4,2,7,8]=>[1,2,1,1,3]=>11011100=>3 [2,5,7,4,6,3,8,1]=>[7,4,2,5,3,6,1,8]=>[1,1,2,2,2]=>11101010=>5 [5,4,1,7,8,3,2,6]=>[4,5,8,2,1,6,7,3]=>[3,1,3,1]=>10011001=>4 [5,4,2,7,8,3,6,1]=>[4,5,7,2,1,6,3,8]=>[3,1,2,2]=>10011010=>5 [5,1,4,6,8,3,2,7]=>[4,8,5,3,1,6,7,2]=>[2,1,1,3,1]=>10111001=>4 [5,1,8,4,6,3,2,7]=>[4,8,1,5,3,6,7,2]=>[2,2,3,1]=>10101001=>6 [8,1,6,4,5,3,2,7]=>[1,8,3,5,4,6,7,2]=>[2,2,3,1]=>10101001=>6 [8,1,3,5,4,6,2,7]=>[1,8,6,4,5,3,7,2]=>[2,1,2,2,1]=>10110101=>6 [8,1,6,2,4,3,5,7]=>[1,8,3,7,5,6,4,2]=>[2,2,2,1,1]=>10101011=>6 [8,7,1,2,4,3,5,6]=>[1,2,8,7,5,6,4,3]=>[3,1,2,1,1]=>10011011=>4 [1,7,6,2,4,3,5,8]=>[8,2,3,7,5,6,4,1]=>[1,3,2,1,1]=>11001011=>4 [8,7,3,2,4,6,5,1]=>[1,2,6,7,5,3,4,8]=>[4,1,3]=>10001100=>3 [8,2,6,3,4,5,7,1]=>[1,7,3,6,5,4,2,8]=>[2,2,1,1,2]=>10101110=>5 [1,7,6,3,4,5,2,8]=>[8,2,3,6,5,4,7,1]=>[1,3,1,2,1]=>11001101=>4 [1,7,2,5,4,3,6,8]=>[8,2,7,4,5,6,3,1]=>[1,2,3,1,1]=>11010011=>4 [8,7,2,4,5,3,6,1]=>[1,2,7,5,4,6,3,8]=>[3,1,2,2]=>10011010=>5 [5,8,2,4,7,3,6,1]=>[4,1,7,5,2,6,3,8]=>[1,2,1,2,2]=>11011010=>5 [6,8,3,2,4,7,5,1]=>[3,1,6,7,5,2,4,8]=>[1,3,1,3]=>11001100=>3 [8,7,1,3,4,5,2,6]=>[1,2,8,6,5,4,7,3]=>[3,1,1,2,1]=>10011101=>4 [8,1,6,3,4,5,2,7]=>[1,8,3,6,5,4,7,2]=>[2,2,1,2,1]=>10101101=>6 [8,1,2,5,4,3,6,7]=>[1,8,7,4,5,6,3,2]=>[2,1,3,1,1]=>10110011=>4 [3,4,8,7,5,2,6,1]=>[6,5,1,2,4,7,3,8]=>[1,1,4,2]=>11100010=>3 [3,2,8,6,1,5,4,7]=>[6,7,1,3,8,4,5,2]=>[2,3,2,1]=>10100101=>6 [8,6,1,2,4,3,5,7]=>[1,3,8,7,5,6,4,2]=>[3,1,2,1,1]=>10011011=>4 [8,7,3,6,4,2,5,1]=>[1,2,6,3,5,7,4,8]=>[3,3,2]=>10010010=>5 [3,8,7,2,5,4,6,1]=>[6,1,2,7,4,5,3,8]=>[1,3,2,2]=>11001010=>5 [8,7,2,4,5,6,3,1]=>[1,2,7,5,4,3,6,8]=>[3,1,1,3]=>10011100=>3 [5,3,6,2,4,8,7,1]=>[4,6,3,7,5,1,2,8]=>[2,2,1,3]=>10101100=>5 [3,5,2,8,6,1,4,7]=>[6,4,7,1,3,8,5,2]=>[1,2,3,1,1]=>11010011=>4 [3,7,2,5,1,4,8,6]=>[6,2,7,4,8,5,1,3]=>[1,2,2,1,2]=>11010110=>5 [5,1,8,6,2,3,4,7]=>[4,8,1,3,7,6,5,2]=>[2,3,1,1,1]=>10100111=>4 [2,5,4,1,8,6,3,7]=>[7,4,5,8,1,3,6,2]=>[1,3,3,1]=>11001001=>4 [3,7,6,1,8,2,5,4]=>[6,2,3,8,1,7,4,5]=>[1,3,2,2]=>11001010=>5 [7,6,3,1,8,2,4,5]=>[2,3,6,8,1,7,5,4]=>[4,2,1,1]=>10001011=>4 [8,2,3,6,1,4,7,5]=>[1,7,6,3,8,5,2,4]=>[2,1,2,1,2]=>10110110=>5 [1,8,2,6,3,4,7,5]=>[8,1,7,3,6,5,2,4]=>[1,2,2,1,2]=>11010110=>5 [8,1,3,6,4,7,2,5]=>[1,8,6,3,5,2,7,4]=>[2,1,2,2,1]=>10110101=>6 [7,1,3,6,4,8,2,5]=>[2,8,6,3,5,1,7,4]=>[2,1,2,2,1]=>10110101=>6 [8,2,1,3,5,7,4,6]=>[1,7,8,6,4,2,5,3]=>[3,1,1,2,1]=>10011101=>4 [8,2,6,3,1,4,7,5]=>[1,7,3,6,8,5,2,4]=>[2,3,1,2]=>10100110=>5 [7,5,4,1,3,8,2,6]=>[2,4,5,8,6,1,7,3]=>[4,1,2,1]=>10001101=>4 [2,7,5,8,3,4,1,6]=>[7,2,4,1,6,5,8,3]=>[1,2,2,2,1]=>11010101=>6 [7,3,8,5,4,1,2,6]=>[2,6,1,4,5,8,7,3]=>[2,4,1,1]=>10100011=>4 [7,2,3,6,1,4,8,5]=>[2,7,6,3,8,5,1,4]=>[2,1,2,1,2]=>10110110=>5 [1,3,7,2,5,8,4,6]=>[8,6,2,7,4,1,5,3]=>[1,1,2,1,2,1]=>11101101=>4 [1,7,2,3,5,8,4,6]=>[8,2,7,6,4,1,5,3]=>[1,2,1,1,2,1]=>11011101=>4 [7,4,8,1,3,6,2,5]=>[2,5,1,8,6,3,7,4]=>[2,2,1,2,1]=>10101101=>6 [8,1,2,3,5,7,4,6]=>[1,8,7,6,4,2,5,3]=>[2,1,1,1,2,1]=>10111101=>4 [7,1,2,3,5,8,4,6]=>[2,8,7,6,4,1,5,3]=>[2,1,1,1,2,1]=>10111101=>4 [8,6,1,4,7,3,2,5]=>[1,3,8,5,2,6,7,4]=>[3,1,3,1]=>10011001=>4 [2,6,3,7,1,4,8,5]=>[7,3,6,2,8,5,1,4]=>[1,2,2,1,2]=>11010110=>5 [2,6,3,8,1,4,7,5]=>[7,3,6,1,8,5,2,4]=>[1,2,2,1,2]=>11010110=>5 [7,5,4,8,1,3,2,6]=>[2,4,5,1,8,6,7,3]=>[3,2,2,1]=>10010101=>6 [8,5,4,7,1,3,2,6]=>[1,4,5,2,8,6,7,3]=>[3,2,2,1]=>10010101=>6 [2,3,1,8,5,4,6,7]=>[7,6,8,1,4,5,3,2]=>[1,2,3,1,1]=>11010011=>4 [8,6,5,1,3,4,2,7]=>[1,3,4,8,6,5,7,2]=>[4,1,2,1]=>10001101=>4 [8,5,1,7,6,3,4,2]=>[1,4,8,2,3,6,5,7]=>[3,3,2]=>10010010=>5 [3,4,7,6,1,8,5,2]=>[6,5,2,3,8,1,4,7]=>[1,1,3,3]=>11100100=>3 [3,5,2,6,7,1,8,4]=>[6,4,7,3,2,8,1,5]=>[1,2,1,2,2]=>11011010=>5 [3,2,8,4,7,5,1,6]=>[6,7,1,5,2,4,8,3]=>[2,2,3,1]=>10101001=>6 [8,4,7,5,1,3,2,6]=>[1,5,2,4,8,6,7,3]=>[2,3,2,1]=>10100101=>6 [3,8,1,6,5,2,7,4]=>[6,1,8,3,4,7,2,5]=>[1,2,3,2]=>11010010=>5 [6,1,2,8,3,4,7,5]=>[3,8,7,1,6,5,2,4]=>[2,1,2,1,2]=>10110110=>5 [6,8,3,1,7,2,4,5]=>[3,1,6,8,2,7,5,4]=>[1,3,2,1,1]=>11001011=>4 [3,7,2,5,6,1,8,4]=>[6,2,7,4,3,8,1,5]=>[1,2,1,2,2]=>11011010=>5 [6,8,4,2,5,1,7,3]=>[3,1,5,7,4,8,2,6]=>[1,3,2,2]=>11001010=>5 [2,7,5,3,8,4,1,6]=>[7,2,4,6,1,5,8,3]=>[1,3,3,1]=>11001001=>4 [8,3,1,4,7,2,6,5]=>[1,6,8,5,2,7,3,4]=>[3,1,2,2]=>10011010=>5 [8,3,2,1,5,7,4,6]=>[1,6,7,8,4,2,5,3]=>[4,1,2,1]=>10001101=>4 [2,8,3,6,4,7,1,5]=>[7,1,6,3,5,2,8,4]=>[1,2,2,2,1]=>11010101=>6 [7,3,6,4,8,1,2,5]=>[2,6,3,5,1,8,7,4]=>[2,2,2,1,1]=>10101011=>6 [8,3,6,4,7,1,2,5]=>[1,6,3,5,2,8,7,4]=>[2,2,2,1,1]=>10101011=>6 [1,2,8,3,5,7,4,6]=>[8,7,1,6,4,2,5,3]=>[1,1,2,1,2,1]=>11101101=>4 [1,8,3,2,5,7,4,6]=>[8,1,6,7,4,2,5,3]=>[1,3,1,2,1]=>11001101=>4 [6,5,1,7,4,2,8,3]=>[3,4,8,2,5,7,1,6]=>[3,3,2]=>10010010=>5 [7,3,6,4,8,2,1,5]=>[2,6,3,5,1,7,8,4]=>[2,2,3,1]=>10101001=>6 [4,6,1,7,3,5,2,8]=>[5,3,8,2,6,4,7,1]=>[1,2,2,2,1]=>11010101=>6 [5,6,1,7,3,4,2,8]=>[4,3,8,2,6,5,7,1]=>[1,2,2,2,1]=>11010101=>6 [6,1,7,3,4,2,8,5]=>[3,8,2,6,5,7,1,4]=>[2,2,2,2]=>10101010=>7 [7,3,8,1,6,5,2,4]=>[2,6,1,8,3,4,7,5]=>[2,2,3,1]=>10101001=>6 [8,3,7,1,6,5,2,4]=>[1,6,2,8,3,4,7,5]=>[2,2,3,1]=>10101001=>6 [5,1,7,4,2,8,6,3]=>[4,8,2,5,7,1,3,6]=>[2,3,3]=>10100100=>5 [4,2,8,6,5,1,7,3]=>[5,7,1,3,4,8,2,6]=>[2,4,2]=>10100010=>5 [6,4,2,8,5,1,7,3]=>[3,5,7,1,4,8,2,6]=>[3,3,2]=>10010010=>5 [8,6,4,7,1,5,2,3]=>[1,3,5,2,8,4,7,6]=>[3,2,2,1]=>10010101=>6 [7,6,4,8,1,5,2,3]=>[2,3,5,1,8,4,7,6]=>[3,2,2,1]=>10010101=>6 [5,1,6,4,2,3,8,7]=>[4,8,3,5,7,6,1,2]=>[2,3,1,2]=>10100110=>5 [4,2,3,8,7,5,1,6]=>[5,7,6,1,2,4,8,3]=>[2,1,4,1]=>10110001=>4 [3,8,7,1,6,5,2,4]=>[6,1,2,8,3,4,7,5]=>[1,3,3,1]=>11001001=>4 [2,4,3,8,1,6,7,5]=>[7,5,6,1,8,3,2,4]=>[1,2,2,1,2]=>11010110=>5 [2,4,3,7,1,6,8,5]=>[7,5,6,2,8,3,1,4]=>[1,2,2,1,2]=>11010110=>5 [4,2,3,7,8,5,1,6]=>[5,7,6,2,1,4,8,3]=>[2,1,1,3,1]=>10111001=>4 [5,1,6,4,2,3,7,8]=>[4,8,3,5,7,6,2,1]=>[2,3,1,1,1]=>10100111=>4 [6,4,7,8,1,5,2,3]=>[3,5,2,1,8,4,7,6]=>[2,1,2,2,1]=>10110101=>6 [8,7,4,6,1,5,2,3]=>[1,2,5,3,8,4,7,6]=>[3,2,2,1]=>10010101=>6 [4,7,8,6,1,5,2,3]=>[5,2,1,3,8,4,7,6]=>[1,1,3,2,1]=>11100101=>4 [3,2,4,7,8,1,5,6]=>[6,7,5,2,1,8,4,3]=>[2,1,1,2,1,1]=>10111011=>4 [4,8,7,6,1,5,2,3]=>[5,1,2,3,8,4,7,6]=>[1,4,2,1]=>11000101=>4 [5,8,7,6,1,4,2,3]=>[4,1,2,3,8,5,7,6]=>[1,4,2,1]=>11000101=>4 [8,6,5,7,1,4,2,3]=>[1,3,4,2,8,5,7,6]=>[3,2,2,1]=>10010101=>6 [5,1,6,7,4,2,3,8]=>[4,8,3,2,5,7,6,1]=>[2,1,3,1,1]=>10110011=>4 [6,7,4,8,1,5,2,3]=>[3,2,5,1,8,4,7,6]=>[1,2,2,2,1]=>11010101=>6 [8,4,7,6,1,5,2,3]=>[1,5,2,3,8,4,7,6]=>[2,3,2,1]=>10100101=>6 [8,3,2,4,7,1,5,6]=>[1,6,7,5,2,8,4,3]=>[3,1,2,1,1]=>10011011=>4 [7,3,2,4,8,1,5,6]=>[2,6,7,5,1,8,4,3]=>[3,1,2,1,1]=>10011011=>4 [2,5,3,7,1,6,4,8]=>[7,4,6,2,8,3,5,1]=>[1,2,2,2,1]=>11010101=>6 [8,4,6,7,1,5,2,3]=>[1,5,3,2,8,4,7,6]=>[2,1,2,2,1]=>10110101=>6 [5,1,6,8,4,2,3,7]=>[4,8,3,1,5,7,6,2]=>[2,1,3,1,1]=>10110011=>4 [4,2,3,7,5,1,6,8]=>[5,7,6,2,4,8,3,1]=>[2,1,3,1,1]=>10110011=>4 [3,7,5,8,1,6,2,4]=>[6,2,4,1,8,3,7,5]=>[1,2,2,2,1]=>11010101=>6 [2,4,3,7,1,6,5,8]=>[7,5,6,2,8,3,4,1]=>[1,2,2,2,1]=>11010101=>6 [2,4,7,1,5,8,6,3]=>[7,5,2,8,4,1,3,6]=>[1,1,2,1,3]=>11101100=>3 [3,2,4,7,6,1,5,8]=>[6,7,5,2,3,8,4,1]=>[2,1,3,1,1]=>10110011=>4 [8,5,6,7,1,4,2,3]=>[1,4,3,2,8,5,7,6]=>[2,1,2,2,1]=>10110101=>6 [8,6,7,5,1,4,2,3]=>[1,3,2,4,8,5,7,6]=>[2,3,2,1]=>10100101=>6 [7,6,8,5,1,4,2,3]=>[2,3,1,4,8,5,7,6]=>[2,3,2,1]=>10100101=>6 [6,8,7,5,1,4,2,3]=>[3,1,2,4,8,5,7,6]=>[1,4,2,1]=>11000101=>4 [5,6,8,7,1,4,2,3]=>[4,3,1,2,8,5,7,6]=>[1,1,3,2,1]=>11100101=>4 [4,6,8,7,1,5,2,3]=>[5,3,1,2,8,4,7,6]=>[1,1,3,2,1]=>11100101=>4 [2,4,6,7,1,5,8,3]=>[7,5,3,2,8,4,1,6]=>[1,1,1,2,1,2]=>11110110=>3 [3,2,4,6,1,5,7,8]=>[6,7,5,3,8,4,2,1]=>[2,1,2,1,1,1]=>10110111=>4 [6,7,8,5,1,4,2,3]=>[3,2,1,4,8,5,7,6]=>[1,1,3,2,1]=>11100101=>4 [7,8,6,5,1,4,2,3]=>[2,1,3,4,8,5,7,6]=>[1,4,2,1]=>11000101=>4 [3,1,7,5,4,2,8,6]=>[6,8,2,4,5,7,1,3]=>[2,4,2]=>10100010=>5 [2,1,8,5,4,6,3,7]=>[7,8,1,4,5,3,6,2]=>[2,3,2,1]=>10100101=>6 [4,1,8,5,2,3,6,7]=>[5,8,1,4,7,6,3,2]=>[2,3,1,1,1]=>10100111=>4 [5,4,1,3,6,7,2,8]=>[4,5,8,6,3,2,7,1]=>[3,1,1,2,1]=>10011101=>4 [8,4,1,2,6,3,7,5]=>[1,5,8,7,3,6,2,4]=>[3,1,2,2]=>10011010=>5 [8,2,7,1,5,3,4,6]=>[1,7,2,8,4,6,5,3]=>[2,2,2,1,1]=>10101011=>6 [3,2,7,1,5,8,4,6]=>[6,7,2,8,4,1,5,3]=>[2,2,1,2,1]=>10101101=>6 [6,3,7,1,5,4,2,8]=>[3,6,2,8,4,5,7,1]=>[2,2,3,1]=>10101001=>6 [7,3,8,1,5,4,2,6]=>[2,6,1,8,4,5,7,3]=>[2,2,3,1]=>10101001=>6 [7,1,5,3,8,4,2,6]=>[2,8,4,6,1,5,7,3]=>[2,2,3,1]=>10101001=>6 [4,5,1,3,6,8,2,7]=>[5,4,8,6,3,1,7,2]=>[1,2,1,1,2,1]=>11011101=>4 [3,6,8,1,5,4,2,7]=>[6,3,1,8,4,5,7,2]=>[1,1,2,3,1]=>11101001=>4 [6,8,3,1,5,4,2,7]=>[3,1,6,8,4,5,7,2]=>[1,3,3,1]=>11001001=>4 [7,6,3,1,5,4,2,8]=>[2,3,6,8,4,5,7,1]=>[4,3,1]=>10001001=>4 [3,6,2,1,5,8,4,7]=>[6,3,7,8,4,1,5,2]=>[1,3,1,2,1]=>11001101=>4 [8,6,2,1,5,3,4,7]=>[1,3,7,8,4,6,5,2]=>[4,2,1,1]=>10001011=>4 [4,8,2,1,7,5,3,6]=>[5,1,7,8,2,4,6,3]=>[1,3,3,1]=>11001001=>4 [2,3,8,1,5,7,4,6]=>[7,6,1,8,4,2,5,3]=>[1,1,2,1,2,1]=>11101101=>4 [7,1,3,2,8,6,4,5]=>[2,8,6,7,1,3,5,4]=>[2,2,3,1]=>10101001=>6 [7,1,6,2,8,3,4,5]=>[2,8,3,7,1,6,5,4]=>[2,2,2,1,1]=>10101011=>6 [4,7,1,2,6,3,8,5]=>[5,2,8,7,3,6,1,4]=>[1,2,1,2,2]=>11011010=>5 [2,7,8,1,5,3,4,6]=>[7,2,1,8,4,6,5,3]=>[1,1,2,2,1,1]=>11101011=>4 [6,7,2,1,5,3,4,8]=>[3,2,7,8,4,6,5,1]=>[1,3,2,1,1]=>11001011=>4 [4,7,2,1,8,5,3,6]=>[5,2,7,8,1,4,6,3]=>[1,3,3,1]=>11001001=>4 [8,7,2,1,4,5,3,6]=>[1,2,7,8,5,4,6,3]=>[4,1,2,1]=>10001101=>4 [8,7,5,6,1,4,3,2]=>[1,2,4,3,8,5,6,7]=>[3,2,3]=>10010100=>5 [5,7,8,6,1,4,3,2]=>[4,2,1,3,8,5,6,7]=>[1,1,3,3]=>11100100=>3 [2,7,4,1,6,5,3,8]=>[7,2,5,8,3,4,6,1]=>[1,3,3,1]=>11001001=>4 [3,7,1,4,5,6,8,2]=>[6,2,8,5,4,3,1,7]=>[1,2,1,1,1,2]=>11011110=>3 [7,1,6,4,5,8,3,2]=>[2,8,3,5,4,1,6,7]=>[2,2,1,3]=>10101100=>5 [3,5,1,4,7,6,8,2]=>[6,4,8,5,2,3,1,7]=>[1,2,1,2,2]=>11011010=>5 [2,6,4,1,7,5,3,8]=>[7,3,5,8,2,4,6,1]=>[1,3,3,1]=>11001001=>4 [5,6,8,7,1,4,3,2]=>[4,3,1,2,8,5,6,7]=>[1,1,3,3]=>11100100=>3 [6,8,5,7,1,4,3,2]=>[3,1,4,2,8,5,6,7]=>[1,2,2,3]=>11010100=>5 [8,6,5,7,1,4,3,2]=>[1,3,4,2,8,5,6,7]=>[3,2,3]=>10010100=>5 [8,5,7,6,1,4,3,2]=>[1,4,2,3,8,5,6,7]=>[2,3,3]=>10100100=>5 [6,5,7,8,1,4,3,2]=>[3,4,2,1,8,5,6,7]=>[2,1,2,3]=>10110100=>5 [7,2,3,1,5,6,4,8]=>[2,7,6,8,4,3,5,1]=>[2,2,1,2,1]=>10101101=>6 [4,2,8,1,6,5,3,7]=>[5,7,1,8,3,4,6,2]=>[2,2,3,1]=>10101001=>6 [6,2,4,1,8,5,3,7]=>[3,7,5,8,1,4,6,2]=>[2,2,3,1]=>10101001=>6 [8,3,1,4,5,6,7,2]=>[1,6,8,5,4,3,2,7]=>[3,1,1,1,2]=>10011110=>3 [5,3,1,4,8,6,7,2]=>[4,6,8,5,1,3,2,7]=>[3,1,2,2]=>10011010=>5 [7,5,1,6,3,4,8,2]=>[2,4,8,3,6,5,1,7]=>[3,2,1,2]=>10010110=>5 [7,1,5,8,4,3,6,2]=>[2,8,4,1,5,6,3,7]=>[2,1,3,2]=>10110010=>5 [5,8,1,6,4,3,7,2]=>[4,1,8,3,5,6,2,7]=>[1,2,3,2]=>11010010=>5 [5,3,1,8,4,6,7,2]=>[4,6,8,1,5,3,2,7]=>[3,2,1,2]=>10010110=>5 [8,3,1,5,4,6,7,2]=>[1,6,8,4,5,3,2,7]=>[3,2,1,2]=>10010110=>5 [8,2,6,1,4,5,3,7]=>[1,7,3,8,5,4,6,2]=>[2,2,1,2,1]=>10101101=>6 [6,2,8,1,4,5,3,7]=>[3,7,1,8,5,4,6,2]=>[2,2,1,2,1]=>10101101=>6 [7,2,6,1,5,3,4,8]=>[2,7,3,8,4,6,5,1]=>[2,2,2,1,1]=>10101011=>6 [2,8,6,1,5,3,4,7]=>[7,1,3,8,4,6,5,2]=>[1,3,2,1,1]=>11001011=>4 [4,2,1,5,6,3,8,7]=>[5,7,8,4,3,6,1,2]=>[3,1,2,2]=>10011010=>5 [7,1,2,5,8,3,4,6]=>[2,8,7,4,1,6,5,3]=>[2,1,1,2,1,1]=>10111011=>4 [7,1,4,5,6,8,3,2]=>[2,8,5,4,3,1,6,7]=>[2,1,1,1,3]=>10111100=>3 [8,5,6,7,1,4,3,2]=>[1,4,3,2,8,5,6,7]=>[2,1,2,3]=>10110100=>5 [7,6,8,5,1,4,3,2]=>[2,3,1,4,8,5,6,7]=>[2,3,3]=>10100100=>5 [6,8,7,5,1,4,3,2]=>[3,1,2,4,8,5,6,7]=>[1,4,3]=>11000100=>3 [2,6,7,1,4,5,3,8]=>[7,3,2,8,5,4,6,1]=>[1,1,2,1,2,1]=>11101101=>4 [3,5,1,7,4,6,8,2]=>[6,4,8,2,5,3,1,7]=>[1,2,2,1,2]=>11010110=>5 [7,1,5,6,4,8,3,2]=>[2,8,4,3,5,1,6,7]=>[2,1,2,3]=>10110100=>5 [7,1,6,5,4,8,3,2]=>[2,8,3,4,5,1,6,7]=>[2,3,3]=>10100100=>5 [2,7,6,1,4,5,3,8]=>[7,2,3,8,5,4,6,1]=>[1,3,1,2,1]=>11001101=>4 [5,7,6,8,1,4,3,2]=>[4,2,3,1,8,5,6,7]=>[1,2,2,3]=>11010100=>5 [7,8,6,5,1,4,3,2]=>[2,1,3,4,8,5,6,7]=>[1,4,3]=>11000100=>3 [4,3,1,6,5,8,7,2]=>[5,6,8,3,4,1,2,7]=>[3,2,3]=>10010100=>5 [5,3,1,2,4,8,7,6]=>[4,6,8,7,5,1,2,3]=>[3,1,1,3]=>10011100=>3 [5,3,6,2,1,8,7,4]=>[4,6,3,7,8,1,2,5]=>[2,3,3]=>10100100=>5 [5,3,7,2,1,4,6,8]=>[4,6,2,7,8,5,3,1]=>[2,3,1,1,1]=>10100111=>4 [5,3,7,2,8,4,1,6]=>[4,6,2,7,1,5,8,3]=>[2,2,3,1]=>10101001=>6 [7,2,4,5,8,3,1,6]=>[2,7,5,4,1,6,8,3]=>[2,1,1,3,1]=>10111001=>4 [7,2,4,5,1,3,6,8]=>[2,7,5,4,8,6,3,1]=>[2,1,2,1,1,1]=>10110111=>4 [6,2,4,5,1,8,7,3]=>[3,7,5,4,8,1,2,6]=>[2,1,2,3]=>10110100=>5 [3,1,4,5,2,8,7,6]=>[6,8,5,4,7,1,2,3]=>[2,1,2,3]=>10110100=>5 [1,6,4,5,2,8,7,3]=>[8,3,5,4,7,1,2,6]=>[1,2,2,3]=>11010100=>5 [3,7,4,5,8,2,1,6]=>[6,2,5,4,1,7,8,3]=>[1,2,1,3,1]=>11011001=>4 [1,7,4,2,6,3,5,8]=>[8,2,5,7,3,6,4,1]=>[1,3,2,1,1]=>11001011=>4 [8,7,4,5,2,1,6,3]=>[1,2,5,4,7,8,3,6]=>[3,3,2]=>10010010=>5 [6,3,7,1,8,4,2,5]=>[3,6,2,8,1,5,7,4]=>[2,2,3,1]=>10101001=>6 [5,7,4,1,6,3,2,8]=>[4,2,5,8,3,6,7,1]=>[1,3,3,1]=>11001001=>4 [1,7,4,8,6,3,2,5]=>[8,2,5,1,3,6,7,4]=>[1,2,4,1]=>11010001=>4 [5,7,4,8,6,3,1,2]=>[4,2,5,1,3,6,8,7]=>[1,2,4,1]=>11010001=>4 [4,8,3,5,6,7,1,2]=>[5,1,6,4,3,2,8,7]=>[1,2,1,1,2,1]=>11011101=>4 [1,8,3,5,6,7,2,4]=>[8,1,6,4,3,2,7,5]=>[1,2,1,1,2,1]=>11011101=>4 [4,8,1,5,6,7,2,3]=>[5,1,8,4,3,2,7,6]=>[1,2,1,1,2,1]=>11011101=>4 [4,1,3,5,6,7,2,8]=>[5,8,6,4,3,2,7,1]=>[2,1,1,1,2,1]=>10111101=>4 [5,8,4,3,6,1,2,7]=>[4,1,5,6,3,8,7,2]=>[1,3,2,1,1]=>11001011=>4 [5,3,8,4,1,7,2,6]=>[4,6,1,5,8,2,7,3]=>[2,3,2,1]=>10100101=>6 [1,5,8,4,6,7,3,2]=>[8,4,1,5,3,2,6,7]=>[1,1,2,1,3]=>11101100=>3 [1,4,8,3,6,7,5,2]=>[8,5,1,6,3,2,4,7]=>[1,1,2,1,3]=>11101100=>3 [4,3,8,2,1,7,5,6]=>[5,6,1,7,8,2,4,3]=>[2,3,2,1]=>10100101=>6 [3,8,4,2,6,1,5,7]=>[6,1,5,7,3,8,4,2]=>[1,3,2,1,1]=>11001011=>4 [1,8,2,5,6,7,4,3]=>[8,1,7,4,3,2,5,6]=>[1,2,1,1,3]=>11011100=>3 [3,8,1,5,6,7,4,2]=>[6,1,8,4,3,2,5,7]=>[1,2,1,1,3]=>11011100=>3 [3,8,2,5,6,7,1,4]=>[6,1,7,4,3,2,8,5]=>[1,2,1,1,2,1]=>11011101=>4 [8,2,1,5,6,7,4,3]=>[1,7,8,4,3,2,5,6]=>[3,1,1,3]=>10011100=>3 [8,1,3,5,6,7,4,2]=>[1,8,6,4,3,2,5,7]=>[2,1,1,1,3]=>10111100=>3 [7,1,4,3,6,2,5,8]=>[2,8,5,6,3,7,4,1]=>[2,2,2,1,1]=>10101011=>6 [7,8,4,3,6,2,1,5]=>[2,1,5,6,3,7,8,4]=>[1,3,3,1]=>11001001=>4 [4,3,1,8,5,7,6,2]=>[5,6,8,1,4,2,3,7]=>[3,2,3]=>10010100=>5 [4,3,1,6,8,7,5,2]=>[5,6,8,3,1,2,4,7]=>[3,1,4]=>10011000=>3 [6,3,1,8,2,7,4,5]=>[3,6,8,1,7,2,5,4]=>[3,2,2,1]=>10010101=>6 [6,3,5,8,2,7,1,4]=>[3,6,4,1,7,2,8,5]=>[2,1,2,2,1]=>10110101=>6 [7,5,4,8,6,2,1,3]=>[2,4,5,1,3,7,8,6]=>[3,4,1]=>10010001=>4 [7,1,4,8,6,2,3,5]=>[2,8,5,1,3,7,6,4]=>[2,1,3,1,1]=>10110011=>4 [7,5,4,1,6,2,3,8]=>[2,4,5,8,3,7,6,1]=>[4,2,1,1]=>10001011=>4 [7,6,4,5,8,1,3,2]=>[2,3,5,4,1,8,6,7]=>[3,1,2,2]=>10011010=>5 [1,6,4,5,8,2,3,7]=>[8,3,5,4,1,7,6,2]=>[1,2,1,2,1,1]=>11011011=>4 [7,3,6,1,8,2,4,5]=>[2,6,3,8,1,7,5,4]=>[2,2,2,1,1]=>10101011=>6 [1,7,6,5,8,3,4,2]=>[8,2,3,4,1,6,5,7]=>[1,3,2,2]=>11001010=>5 [1,8,5,3,6,7,4,2]=>[8,1,4,6,3,2,5,7]=>[1,3,1,3]=>11001100=>3 [8,3,5,2,1,7,4,6]=>[1,6,4,7,8,2,5,3]=>[2,3,2,1]=>10100101=>6 [8,4,1,5,6,7,3,2]=>[1,5,8,4,3,2,6,7]=>[3,1,1,3]=>10011100=>3 [8,4,2,5,6,7,1,3]=>[1,5,7,4,3,2,8,6]=>[3,1,1,2,1]=>10011101=>4 [4,1,8,5,6,7,3,2]=>[5,8,1,4,3,2,6,7]=>[2,2,1,3]=>10101100=>5 [1,2,8,5,6,7,3,4]=>[8,7,1,4,3,2,6,5]=>[1,1,2,1,2,1]=>11101101=>4 [1,5,3,8,6,7,4,2]=>[8,4,6,1,3,2,5,7]=>[1,2,2,3]=>11010100=>5 [1,4,5,8,6,7,3,2]=>[8,5,4,1,3,2,6,7]=>[1,1,1,2,3]=>11110100=>3 [4,3,5,8,1,7,2,6]=>[5,6,4,1,8,2,7,3]=>[2,1,2,2,1]=>10110101=>6 [3,5,4,8,6,1,2,7]=>[6,4,5,1,3,8,7,2]=>[1,2,3,1,1]=>11010011=>4 [1,4,8,5,6,7,2,3]=>[8,5,1,4,3,2,7,6]=>[1,1,2,1,2,1]=>11101101=>4 [3,4,8,5,6,7,1,2]=>[6,5,1,4,3,2,8,7]=>[1,1,2,1,2,1]=>11101101=>4 [2,7,1,5,6,3,4,8]=>[7,2,8,4,3,6,5,1]=>[1,2,1,2,1,1]=>11011011=>4 [2,7,1,4,3,6,5,8]=>[7,2,8,5,6,3,4,1]=>[1,2,2,2,1]=>11010101=>6 [4,3,7,2,5,6,8,1]=>[5,6,2,7,4,3,1,8]=>[2,2,1,1,2]=>10101110=>5 [2,6,3,1,4,5,8,7]=>[7,3,6,8,5,4,1,2]=>[1,3,1,1,2]=>11001110=>3 [3,7,1,4,2,6,8,5]=>[6,2,8,5,7,3,1,4]=>[1,2,2,1,2]=>11010110=>5 [3,7,1,5,6,2,8,4]=>[6,2,8,4,3,7,1,5]=>[1,2,1,2,2]=>11011010=>5 [4,7,1,5,6,8,2,3]=>[5,2,8,4,3,1,7,6]=>[1,2,1,1,2,1]=>11011101=>4 [8,5,2,6,7,3,1,4]=>[1,4,7,3,2,6,8,5]=>[3,1,3,1]=>10011001=>4 [8,4,2,6,3,7,1,5]=>[1,5,7,3,6,2,8,4]=>[3,2,2,1]=>10010101=>6 [8,4,2,3,5,7,1,6]=>[1,5,7,6,4,2,8,3]=>[3,1,1,2,1]=>10011101=>4 [4,7,3,2,5,6,1,8]=>[5,2,6,7,4,3,8,1]=>[1,3,1,2,1]=>11001101=>4 [5,3,4,6,2,8,1,7]=>[4,6,5,3,7,1,8,2]=>[2,1,2,2,1]=>10110101=>6 [5,3,7,4,2,8,1,6]=>[4,6,2,5,7,1,8,3]=>[2,3,2,1]=>10100101=>6 [6,4,7,2,3,8,1,5]=>[3,5,2,7,6,1,8,4]=>[2,2,1,2,1]=>10101101=>6 [6,5,7,2,8,3,1,4]=>[3,4,2,7,1,6,8,5]=>[2,2,3,1]=>10101001=>6 [5,3,7,2,4,8,6,1]=>[4,6,2,7,5,1,3,8]=>[2,2,1,3]=>10101100=>5 [2,6,5,1,8,3,4,7]=>[7,3,4,8,1,6,5,2]=>[1,3,2,1,1]=>11001011=>4 [8,7,6,1,4,5,2,3]=>[1,2,3,8,5,4,7,6]=>[4,1,2,1]=>10001101=>4 [8,7,6,1,3,2,5,4]=>[1,2,3,8,6,7,4,5]=>[4,2,2]=>10001010=>5 [8,7,2,4,3,1,6,5]=>[1,2,7,5,6,8,3,4]=>[3,3,2]=>10010010=>5 [8,7,4,5,1,6,2,3]=>[1,2,5,4,8,3,7,6]=>[3,2,2,1]=>10010101=>6 [8,5,6,3,1,2,7,4]=>[1,4,3,6,8,7,2,5]=>[2,3,1,2]=>10100110=>5 [8,4,6,2,3,1,7,5]=>[1,5,3,7,6,8,2,4]=>[2,2,2,2]=>10101010=>7 [5,7,3,4,2,1,8,6]=>[4,2,6,5,7,8,1,3]=>[1,2,3,2]=>11010010=>5 [6,7,4,2,3,1,8,5]=>[3,2,5,7,6,8,1,4]=>[1,3,2,2]=>11001010=>5 [6,7,5,4,1,8,2,3]=>[3,2,4,5,8,1,7,6]=>[1,4,2,1]=>11000101=>4 [7,3,5,4,1,8,6,2]=>[2,6,4,5,8,1,3,7]=>[2,3,3]=>10100100=>5 [5,2,7,1,3,4,8,6]=>[4,7,2,8,6,5,1,3]=>[2,2,1,1,2]=>10101110=>5 [2,6,5,7,3,1,4,8]=>[7,3,4,2,6,8,5,1]=>[1,2,3,1,1]=>11010011=>4 [2,6,5,7,3,1,8,4]=>[7,3,4,2,6,8,1,5]=>[1,2,3,2]=>11010010=>5 [6,3,1,4,7,8,5,2]=>[3,6,8,5,2,1,4,7]=>[3,1,1,3]=>10011100=>3 [6,8,2,1,3,4,5,7]=>[3,1,7,8,6,5,4,2]=>[1,3,1,1,1,1]=>11001111=>2 [3,7,1,8,4,5,2,6]=>[6,2,8,1,5,4,7,3]=>[1,2,2,2,1]=>11010101=>6 [6,3,2,4,7,5,8,1]=>[3,6,7,5,2,4,1,8]=>[3,1,2,2]=>10011010=>5 [6,3,2,4,7,5,1,8]=>[3,6,7,5,2,4,8,1]=>[3,1,3,1]=>10011001=>4 [4,2,1,6,3,7,5,8]=>[5,7,8,3,6,2,4,1]=>[3,2,2,1]=>10010101=>6 [4,2,1,6,3,7,8,5]=>[5,7,8,3,6,2,1,4]=>[3,2,1,2]=>10010110=>5 [7,4,3,5,8,6,1,2]=>[2,5,6,4,1,3,8,7]=>[3,1,3,1]=>10011001=>4 [7,4,3,5,8,6,2,1]=>[2,5,6,4,1,3,7,8]=>[3,1,4]=>10011000=>3 [4,2,1,7,3,8,6,5]=>[5,7,8,2,6,1,3,4]=>[3,2,3]=>10010100=>5 [4,2,1,3,7,8,6,5]=>[5,7,8,6,2,1,3,4]=>[3,1,1,3]=>10011100=>3 [5,8,1,7,4,3,6,2]=>[4,1,8,2,5,6,3,7]=>[1,2,3,2]=>11010010=>5 [5,8,1,7,4,3,2,6]=>[4,1,8,2,5,6,7,3]=>[1,2,4,1]=>11010001=>4 [3,7,8,6,2,1,4,5]=>[6,2,1,3,7,8,5,4]=>[1,1,4,1,1]=>11100011=>2 [4,2,1,8,3,5,6,7]=>[5,7,8,1,6,4,3,2]=>[3,2,1,1,1]=>10010111=>4 [4,2,1,3,6,7,5,8]=>[5,7,8,6,3,2,4,1]=>[3,1,1,2,1]=>10011101=>4 [4,2,1,3,7,5,6,8]=>[5,7,8,6,2,4,3,1]=>[3,1,2,1,1]=>10011011=>4 [4,2,1,3,6,8,7,5]=>[5,7,8,6,3,1,2,4]=>[3,1,1,3]=>10011100=>3 [4,2,1,6,3,8,7,5]=>[5,7,8,3,6,1,2,4]=>[3,2,3]=>10010100=>5 [4,2,1,7,3,5,6,8]=>[5,7,8,2,6,4,3,1]=>[3,2,1,1,1]=>10010111=>4 [3,6,7,5,2,1,8,4]=>[6,3,2,4,7,8,1,5]=>[1,1,4,2]=>11100010=>3 [7,3,4,2,6,8,5,1]=>[2,6,5,7,3,1,4,8]=>[2,2,1,3]=>10101100=>5 [4,8,6,2,7,3,5,1]=>[5,1,3,7,2,6,4,8]=>[1,3,2,2]=>11001010=>5 [7,3,4,2,6,8,1,5]=>[2,6,5,7,3,1,8,4]=>[2,2,1,2,1]=>10101101=>6 [3,6,7,5,2,4,8,1]=>[6,3,2,4,7,5,1,8]=>[1,1,3,1,2]=>11100110=>3 [3,6,7,5,2,4,1,8]=>[6,3,2,4,7,5,8,1]=>[1,1,3,2,1]=>11100101=>4 [4,2,1,7,3,6,5,8]=>[5,7,8,2,6,3,4,1]=>[3,2,2,1]=>10010101=>6 [4,2,1,7,3,6,8,5]=>[5,7,8,2,6,3,1,4]=>[3,2,1,2]=>10010110=>5 [3,7,6,8,4,2,5,1]=>[6,2,3,1,5,7,4,8]=>[1,2,3,2]=>11010010=>5 [5,8,1,7,4,2,6,3]=>[4,1,8,2,5,7,3,6]=>[1,2,3,2]=>11010010=>5 [4,2,1,3,8,6,7,5]=>[5,7,8,6,1,3,2,4]=>[3,1,2,2]=>10011010=>5 [4,2,1,3,7,6,5,8]=>[5,7,8,6,2,3,4,1]=>[3,1,3,1]=>10011001=>4 [4,2,1,3,5,7,6,8]=>[5,7,8,6,4,2,3,1]=>[3,1,1,2,1]=>10011101=>4 [4,2,1,3,5,8,6,7]=>[5,7,8,6,4,1,3,2]=>[3,1,1,2,1]=>10011101=>4 [4,8,1,7,3,6,5,2]=>[5,1,8,2,6,3,4,7]=>[1,2,2,3]=>11010100=>5 [4,2,1,8,3,7,6,5]=>[5,7,8,1,6,2,3,4]=>[3,2,3]=>10010100=>5 [7,8,2,4,1,3,6,5]=>[2,1,7,5,8,6,3,4]=>[1,2,2,1,2]=>11010110=>5 [2,6,1,5,4,7,8,3]=>[7,3,8,4,5,2,1,6]=>[1,2,2,1,2]=>11010110=>5 [4,6,3,5,8,7,1,2]=>[5,3,6,4,1,2,8,7]=>[1,2,1,3,1]=>11011001=>4 [3,5,6,1,4,8,7,2]=>[6,4,3,8,5,1,2,7]=>[1,1,2,1,3]=>11101100=>3 [2,3,6,8,4,1,5,7]=>[7,6,3,1,5,8,4,2]=>[1,1,1,3,1,1]=>11110011=>2 [4,7,5,2,1,3,6,8]=>[5,2,4,7,8,6,3,1]=>[1,4,1,1,1]=>11000111=>2 [2,5,6,1,4,8,3,7]=>[7,4,3,8,5,1,6,2]=>[1,1,2,1,2,1]=>11101101=>4 [6,7,8,4,1,5,3,2]=>[3,2,1,5,8,4,6,7]=>[1,1,3,3]=>11100100=>3 [7,1,6,8,4,5,3,2]=>[2,8,3,1,5,4,6,7]=>[2,1,2,3]=>10110100=>5 [7,4,6,5,2,8,1,3]=>[2,5,3,4,7,1,8,6]=>[2,3,2,1]=>10100101=>6 [7,1,5,6,4,2,3,8]=>[2,8,4,3,5,7,6,1]=>[2,1,3,1,1]=>10110011=>4 [5,7,4,6,8,1,3,2]=>[4,2,5,3,1,8,6,7]=>[1,2,1,2,2]=>11011010=>5 [5,7,8,1,4,6,3,2]=>[4,2,1,8,5,3,6,7]=>[1,1,2,1,3]=>11101100=>3 [8,1,5,7,4,6,3,2]=>[1,8,4,2,5,3,6,7]=>[2,1,2,3]=>10110100=>5 [1,8,4,6,7,5,3,2]=>[8,1,5,3,2,4,6,7]=>[1,2,1,4]=>11011000=>3 [6,1,8,4,7,5,3,2]=>[3,8,1,5,2,4,6,7]=>[2,2,4]=>10101000=>5 [4,5,8,6,1,7,3,2]=>[5,4,1,3,8,2,6,7]=>[1,1,3,3]=>11100100=>3 [4,8,5,1,6,7,3,2]=>[5,1,4,8,3,2,6,7]=>[1,3,1,3]=>11001100=>3 [8,1,4,5,6,7,3,2]=>[1,8,5,4,3,2,6,7]=>[2,1,1,1,3]=>10111100=>3 [5,6,7,1,4,2,3,8]=>[4,3,2,8,5,7,6,1]=>[1,1,2,2,1,1]=>11101011=>4 [8,4,2,6,1,5,7,3]=>[1,5,7,3,8,4,2,6]=>[3,2,1,2]=>10010110=>5 [4,8,5,2,1,6,7,3]=>[5,1,4,7,8,3,2,6]=>[1,4,1,2]=>11000110=>3 [5,1,8,4,2,6,3,7]=>[4,8,1,5,7,3,6,2]=>[2,3,2,1]=>10100101=>6 [1,8,4,6,2,5,3,7]=>[8,1,5,3,7,4,6,2]=>[1,2,2,2,1]=>11010101=>6 [6,1,5,2,3,4,7,8]=>[3,8,4,7,6,5,2,1]=>[2,2,1,1,1,1]=>10101111=>4 [8,3,1,4,6,2,5,7]=>[1,6,8,5,3,7,4,2]=>[3,1,2,1,1]=>10011011=>4 [3,1,8,2,5,6,4,7]=>[6,8,1,7,4,3,5,2]=>[2,2,1,2,1]=>10101101=>6 [3,5,1,8,2,6,4,7]=>[6,4,8,1,7,3,5,2]=>[1,2,2,2,1]=>11010101=>6 [3,5,1,2,8,4,7,6]=>[6,4,8,7,1,5,2,3]=>[1,2,1,2,2]=>11011010=>5 [2,3,5,8,6,1,7,4]=>[7,6,4,1,3,8,2,5]=>[1,1,1,3,2]=>11110010=>3 [8,2,4,3,6,7,1,5]=>[1,7,5,6,3,2,8,4]=>[2,2,1,2,1]=>10101101=>6 [3,2,8,5,7,1,6,4]=>[6,7,1,4,2,8,3,5]=>[2,2,2,2]=>10101010=>7 [3,6,2,8,5,1,7,4]=>[6,3,7,1,4,8,2,5]=>[1,2,3,2]=>11010010=>5 [6,2,1,8,4,7,5,3]=>[3,7,8,1,5,2,4,6]=>[3,2,3]=>10010100=>5 [2,8,7,1,4,6,5,3]=>[7,1,2,8,5,3,4,6]=>[1,3,1,3]=>11001100=>3 [8,2,7,1,5,4,6,3]=>[1,7,2,8,4,5,3,6]=>[2,2,2,2]=>10101010=>7 [7,2,5,3,6,8,1,4]=>[2,7,4,6,3,1,8,5]=>[2,2,1,2,1]=>10101101=>6 [7,3,1,5,6,2,4,8]=>[2,6,8,4,3,7,5,1]=>[3,1,2,1,1]=>10011011=>4 [3,7,5,1,6,2,4,8]=>[6,2,4,8,3,7,5,1]=>[1,3,2,1,1]=>11001011=>4 [2,7,3,6,5,8,1,4]=>[7,2,6,3,4,1,8,5]=>[1,2,2,2,1]=>11010101=>6 [8,7,2,4,1,6,5,3]=>[1,2,7,5,8,3,4,6]=>[3,2,3]=>10010100=>5 [1,8,7,2,3,6,5,4]=>[8,1,2,7,6,3,4,5]=>[1,3,1,3]=>11001100=>3 [1,7,8,2,6,4,3,5]=>[8,2,1,7,3,5,6,4]=>[1,1,2,3,1]=>11101001=>4 [1,7,3,8,2,6,4,5]=>[8,2,6,1,7,3,5,4]=>[1,2,2,2,1]=>11010101=>6 [1,2,7,3,6,4,5,8]=>[8,7,2,6,3,5,4,1]=>[1,1,2,2,1,1]=>11101011=>4 [7,1,5,8,3,2,4,6]=>[2,8,4,1,6,7,5,3]=>[2,1,3,1,1]=>10110011=>4 [1,6,2,8,4,3,7,5]=>[8,3,7,1,5,6,2,4]=>[1,2,3,2]=>11010010=>5 [1,3,8,7,2,4,6,5]=>[8,6,1,2,7,5,3,4]=>[1,1,3,1,2]=>11100110=>3 [1,8,3,7,2,5,4,6]=>[8,1,6,2,7,4,5,3]=>[1,2,2,2,1]=>11010101=>6 [8,1,4,7,3,2,5,6]=>[1,8,5,2,6,7,4,3]=>[2,1,3,1,1]=>10110011=>4 [4,7,8,1,3,2,5,6]=>[5,2,1,8,6,7,4,3]=>[1,1,2,2,1,1]=>11101011=>4 [7,1,4,2,3,5,6,8]=>[2,8,5,7,6,4,3,1]=>[2,2,1,1,1,1]=>10101111=>4 [8,2,1,4,7,3,5,6]=>[1,7,8,5,2,6,4,3]=>[3,1,2,1,1]=>10011011=>4 [2,1,3,8,4,6,7,5]=>[7,8,6,1,5,3,2,4]=>[2,1,2,1,2]=>10110110=>5 [1,2,3,4,8,5,7,6]=>[8,7,6,5,1,4,2,3]=>[1,1,1,1,2,2]=>11111010=>3 [2,4,7,5,6,8,3,1]=>[7,5,2,4,3,1,6,8]=>[1,1,2,1,3]=>11101100=>3 [2,4,8,7,5,6,3,1]=>[7,5,1,2,4,3,6,8]=>[1,1,3,3]=>11100100=>3 [2,5,3,8,4,7,6,1]=>[7,4,6,1,5,2,3,8]=>[1,2,2,3]=>11010100=>5 [2,8,5,7,3,6,4,1]=>[7,1,4,2,6,3,5,8]=>[1,2,2,3]=>11010100=>5 [3,1,8,5,2,7,6,4]=>[6,8,1,4,7,2,3,5]=>[2,3,3]=>10100100=>5 [8,3,5,7,1,6,4,2]=>[1,6,4,2,8,3,5,7]=>[2,1,2,3]=>10110100=>5 [8,3,6,1,4,5,7,2]=>[1,6,3,8,5,4,2,7]=>[2,2,1,1,2]=>10101110=>5 [2,8,6,3,4,5,7,1]=>[7,1,3,6,5,4,2,8]=>[1,3,1,1,2]=>11001110=>3 [2,6,8,3,4,5,7,1]=>[7,3,1,6,5,4,2,8]=>[1,1,2,1,1,2]=>11101110=>3 [2,5,7,3,4,8,6,1]=>[7,4,2,6,5,1,3,8]=>[1,1,2,1,3]=>11101100=>3 [2,7,8,5,3,6,4,1]=>[7,2,1,4,6,3,5,8]=>[1,1,3,3]=>11100100=>3 [2,7,6,3,4,8,5,1]=>[7,2,3,6,5,1,4,8]=>[1,3,1,3]=>11001100=>3 [3,1,8,7,2,6,4,5]=>[6,8,1,2,7,3,5,4]=>[2,3,2,1]=>10100101=>6 [8,3,7,6,1,4,5,2]=>[1,6,2,3,8,5,4,7]=>[2,3,1,2]=>10100110=>5 [4,8,1,7,2,3,6,5]=>[5,1,8,2,7,6,3,4]=>[1,2,2,1,2]=>11010110=>5 [4,1,7,2,3,6,5,8]=>[5,8,2,7,6,3,4,1]=>[2,2,1,2,1]=>10101101=>6 [3,7,1,8,2,6,4,5]=>[6,2,8,1,7,3,5,4]=>[1,2,2,2,1]=>11010101=>6 [3,1,7,8,2,5,6,4]=>[6,8,2,1,7,4,3,5]=>[2,1,2,1,2]=>10110110=>5 [3,1,6,5,8,2,7,4]=>[6,8,3,4,1,7,2,5]=>[2,2,2,2]=>10101010=>7 [6,3,5,8,7,1,4,2]=>[3,6,4,1,2,8,5,7]=>[2,1,3,2]=>10110010=>5 [7,3,8,5,1,6,4,2]=>[2,6,1,4,8,3,5,7]=>[2,3,3]=>10100100=>5 [7,3,6,1,4,8,5,2]=>[2,6,3,8,5,1,4,7]=>[2,2,1,3]=>10101100=>5 [7,8,3,6,1,4,5,2]=>[2,1,6,3,8,5,4,7]=>[1,2,2,1,2]=>11010110=>5 [7,4,8,1,2,3,6,5]=>[2,5,1,8,7,6,3,4]=>[2,2,1,1,2]=>10101110=>5 [8,7,4,6,1,2,5,3]=>[1,2,5,3,8,7,4,6]=>[3,2,1,2]=>10010110=>5 [7,5,1,2,3,4,8,6]=>[2,4,8,7,6,5,1,3]=>[3,1,1,1,2]=>10011110=>3 [7,4,6,1,2,8,3,5]=>[2,5,3,8,7,1,6,4]=>[2,2,1,2,1]=>10101101=>6 [6,4,1,2,8,5,7,3]=>[3,5,8,7,1,4,2,6]=>[3,1,2,2]=>10011010=>5 [5,7,1,2,3,6,4,8]=>[4,2,8,7,6,3,5,1]=>[1,2,1,1,2,1]=>11011101=>4 [3,6,8,1,2,7,4,5]=>[6,3,1,8,7,2,5,4]=>[1,1,2,1,2,1]=>11101101=>4 [4,8,6,1,2,3,7,5]=>[5,1,3,8,7,6,2,4]=>[1,3,1,1,2]=>11001110=>3 [8,4,6,1,2,3,7,5]=>[1,5,3,8,7,6,2,4]=>[2,2,1,1,2]=>10101110=>5 [4,8,1,5,2,7,3,6]=>[5,1,8,4,7,2,6,3]=>[1,2,2,2,1]=>11010101=>6 [4,1,2,5,3,8,7,6]=>[5,8,7,4,6,1,2,3]=>[2,1,2,3]=>10110100=>5 [3,1,4,8,7,5,2,6]=>[6,8,5,1,2,4,7,3]=>[2,1,4,1]=>10110001=>4 [4,3,6,8,7,5,1,2]=>[5,6,3,1,2,4,8,7]=>[2,1,4,1]=>10110001=>4 [5,4,1,8,2,7,6,3]=>[4,5,8,1,7,2,3,6]=>[3,2,3]=>10010100=>5 [5,4,1,8,2,7,3,6]=>[4,5,8,1,7,2,6,3]=>[3,2,2,1]=>10010101=>6 [8,6,7,4,1,2,5,3]=>[1,3,2,5,8,7,4,6]=>[2,3,1,2]=>10100110=>5 [6,4,8,1,2,5,3,7]=>[3,5,1,8,7,4,6,2]=>[2,2,1,2,1]=>10101101=>6 [6,7,3,1,4,8,5,2]=>[3,2,6,8,5,1,4,7]=>[1,3,1,3]=>11001100=>3 [5,6,3,8,7,1,4,2]=>[4,3,6,1,2,8,5,7]=>[1,2,3,2]=>11010010=>5 [5,4,1,6,8,2,7,3]=>[4,5,8,3,1,7,2,6]=>[3,1,2,2]=>10011010=>5 [5,4,7,1,2,8,6,3]=>[4,5,2,8,7,1,3,6]=>[2,2,1,3]=>10101100=>5 [6,7,4,1,2,8,3,5]=>[3,2,5,8,7,1,6,4]=>[1,3,1,2,1]=>11001101=>4 [6,5,1,2,3,7,8,4]=>[3,4,8,7,6,2,1,5]=>[3,1,1,1,2]=>10011110=>3 [6,5,1,2,3,4,8,7]=>[3,4,8,7,6,5,1,2]=>[3,1,1,1,2]=>10011110=>3 [8,6,5,1,2,3,7,4]=>[1,3,4,8,7,6,2,5]=>[4,1,1,2]=>10001110=>3 [6,5,1,2,3,7,4,8]=>[3,4,8,7,6,2,5,1]=>[3,1,1,2,1]=>10011101=>4 [6,7,4,1,2,5,3,8]=>[3,2,5,8,7,4,6,1]=>[1,3,1,2,1]=>11001101=>4 [7,8,6,4,1,2,5,3]=>[2,1,3,5,8,7,4,6]=>[1,4,1,2]=>11000110=>3 [2,4,6,3,5,7,1,8]=>[7,5,3,6,4,2,8,1]=>[1,1,2,1,2,1]=>11101101=>4 [1,4,6,3,7,2,5,8]=>[8,5,3,6,2,7,4,1]=>[1,1,2,2,1,1]=>11101011=>4 [8,6,2,5,3,1,7,4]=>[1,3,7,4,6,8,2,5]=>[3,3,2]=>10010010=>5 [8,2,3,4,5,1,7,6]=>[1,7,6,5,4,8,2,3]=>[2,1,1,2,2]=>10111010=>5 [1,8,3,4,2,7,5,6]=>[8,1,6,5,7,2,4,3]=>[1,2,2,2,1]=>11010101=>6 [2,8,3,4,1,6,7,5]=>[7,1,6,5,8,3,2,4]=>[1,2,2,1,2]=>11010110=>5 [8,7,2,3,1,6,5,4]=>[1,2,7,6,8,3,4,5]=>[3,2,3]=>10010100=>5 [3,8,2,4,6,1,7,5]=>[6,1,7,5,3,8,2,4]=>[1,2,1,2,2]=>11011010=>5 [7,8,2,4,3,1,6,5]=>[2,1,7,5,6,8,3,4]=>[1,2,3,2]=>11010010=>5 [4,5,8,2,3,1,7,6]=>[5,4,1,7,6,8,2,3]=>[1,1,2,2,2]=>11101010=>5 [5,1,4,3,7,2,6,8]=>[4,8,5,6,2,7,3,1]=>[2,2,2,1,1]=>10101011=>6 [6,1,3,5,7,2,4,8]=>[3,8,6,4,2,7,5,1]=>[2,1,1,2,1,1]=>10111011=>4 [2,1,4,7,5,3,6,8]=>[7,8,5,2,4,6,3,1]=>[2,1,3,1,1]=>10110011=>4 [7,1,3,6,2,5,4,8]=>[2,8,6,3,7,4,5,1]=>[2,1,2,2,1]=>10110101=>6 [8,1,3,6,2,4,7,5]=>[1,8,6,3,7,5,2,4]=>[2,1,2,1,2]=>10110110=>5 [2,1,8,3,7,5,4,6]=>[7,8,1,6,2,4,5,3]=>[2,2,3,1]=>10101001=>6 [7,1,8,2,5,6,3,4]=>[2,8,1,7,4,3,6,5]=>[2,2,1,2,1]=>10101101=>6 [6,1,5,8,2,7,3,4]=>[3,8,4,1,7,2,6,5]=>[2,1,2,2,1]=>10110101=>6 [4,5,2,8,1,6,7,3]=>[5,4,7,1,8,3,2,6]=>[1,2,2,1,2]=>11010110=>5 [6,2,5,8,1,4,7,3]=>[3,7,4,1,8,5,2,6]=>[2,1,2,1,2]=>10110110=>5 [3,2,8,5,1,6,7,4]=>[6,7,1,4,8,3,2,5]=>[2,3,1,2]=>10100110=>5 [8,2,7,1,4,6,5,3]=>[1,7,2,8,5,3,4,6]=>[2,2,1,3]=>10101100=>5 [1,3,8,2,5,7,4,6]=>[8,6,1,7,4,2,5,3]=>[1,1,2,1,2,1]=>11101101=>4 [2,8,7,1,6,4,5,3]=>[7,1,2,8,3,5,4,6]=>[1,3,2,2]=>11001010=>5 [3,8,7,1,5,6,4,2]=>[6,1,2,8,4,3,5,7]=>[1,3,1,3]=>11001100=>3 [3,4,8,5,6,1,7,2]=>[6,5,1,4,3,8,2,7]=>[1,1,2,2,2]=>11101010=>5 [8,3,7,4,1,6,5,2]=>[1,6,2,5,8,3,4,7]=>[2,3,3]=>10100100=>5 [1,4,8,6,2,7,3,5]=>[8,5,1,3,7,2,6,4]=>[1,1,3,2,1]=>11100101=>4 [8,4,5,7,1,6,3,2]=>[1,5,4,2,8,3,6,7]=>[2,1,2,3]=>10110100=>5 [3,5,6,8,4,1,7,2]=>[6,4,3,1,5,8,2,7]=>[1,1,1,3,2]=>11110010=>3 [6,2,3,1,5,4,7,8]=>[3,7,6,8,4,5,2,1]=>[2,2,2,1,1]=>10101011=>6 [7,2,3,1,4,6,5,8]=>[2,7,6,8,5,3,4,1]=>[2,2,1,2,1]=>10101101=>6 [8,2,3,1,4,5,7,6]=>[1,7,6,8,5,4,2,3]=>[2,2,1,1,2]=>10101110=>5 [8,5,1,3,2,4,7,6]=>[1,4,8,6,7,5,2,3]=>[3,2,1,2]=>10010110=>5 [7,5,1,3,2,6,4,8]=>[2,4,8,6,7,3,5,1]=>[3,2,2,1]=>10010101=>6 [2,6,1,4,5,3,7,8]=>[7,3,8,5,4,6,2,1]=>[1,2,1,2,1,1]=>11011011=>4 [3,6,4,1,5,2,7,8]=>[6,3,5,8,4,7,2,1]=>[1,3,2,1,1]=>11001011=>4 [4,5,7,1,2,6,3,8]=>[5,4,2,8,7,3,6,1]=>[1,1,2,1,2,1]=>11101101=>4 [3,7,4,1,2,6,5,8]=>[6,2,5,8,7,3,4,1]=>[1,3,1,2,1]=>11001101=>4 [6,7,1,4,2,5,3,8]=>[3,2,8,5,7,4,6,1]=>[1,2,2,2,1]=>11010101=>6 [2,7,1,3,5,6,4,8]=>[7,2,8,6,4,3,5,1]=>[1,2,1,1,2,1]=>11011101=>4 [8,6,1,2,4,3,7,5]=>[1,3,8,7,5,6,2,4]=>[3,1,2,2]=>10011010=>5 [2,8,1,3,4,6,7,5]=>[7,1,8,6,5,3,2,4]=>[1,2,1,1,1,2]=>11011110=>3 [7,8,1,2,5,3,6,4]=>[2,1,8,7,4,6,3,5]=>[1,2,1,2,2]=>11011010=>5 [3,8,4,1,2,5,7,6]=>[6,1,5,8,7,4,2,3]=>[1,3,1,1,2]=>11001110=>3 [1,2,6,7,5,3,8,4]=>[8,7,3,2,4,6,1,5]=>[1,1,1,3,2]=>11110010=>3 [1,7,5,3,2,8,4,6]=>[8,2,4,6,7,1,5,3]=>[1,4,2,1]=>11000101=>4 [1,6,7,5,3,8,4,2]=>[8,3,2,4,6,1,5,7]=>[1,1,3,3]=>11100100=>3 [1,6,5,7,2,3,8,4]=>[8,3,4,2,7,6,1,5]=>[1,2,2,1,2]=>11010110=>5 [1,3,8,2,6,5,7,4]=>[8,6,1,7,3,4,2,5]=>[1,1,2,2,2]=>11101010=>5 [1,2,5,7,6,3,4,8]=>[8,7,4,2,3,6,5,1]=>[1,1,1,3,1,1]=>11110011=>2 [1,3,4,8,2,5,7,6]=>[8,6,5,1,7,4,2,3]=>[1,1,1,2,1,2]=>11110110=>3 [1,5,7,6,2,3,4,8]=>[8,4,2,3,7,6,5,1]=>[1,1,3,1,1,1]=>11100111=>2 [1,5,3,8,2,6,4,7]=>[8,4,6,1,7,3,5,2]=>[1,2,2,2,1]=>11010101=>6 [1,4,8,3,2,5,7,6]=>[8,5,1,6,7,4,2,3]=>[1,1,3,1,2]=>11100110=>3 [1,4,8,3,5,7,6,2]=>[8,5,1,6,4,2,3,7]=>[1,1,2,1,3]=>11101100=>3 [1,2,4,8,3,5,7,6]=>[8,7,5,1,6,4,2,3]=>[1,1,1,2,1,2]=>11110110=>3 [1,3,8,4,2,6,7,5]=>[8,6,1,5,7,3,2,4]=>[1,1,3,1,2]=>11100110=>3 [1,4,8,2,3,5,7,6]=>[8,5,1,7,6,4,2,3]=>[1,1,2,1,1,2]=>11101110=>3 [6,5,7,3,8,2,4,1]=>[3,4,2,6,1,7,5,8]=>[2,2,2,2]=>10101010=>7 [4,2,6,7,5,8,3,1]=>[5,7,3,2,4,1,6,8]=>[2,1,2,3]=>10110100=>5 [6,7,5,2,1,8,4,3]=>[3,2,4,7,8,1,5,6]=>[1,4,3]=>11000100=>3 [3,4,8,7,5,2,1,6]=>[6,5,1,2,4,7,8,3]=>[1,1,5,1]=>11100001=>2 [1,7,5,2,8,4,6,3]=>[8,2,4,7,1,5,3,6]=>[1,3,2,2]=>11001010=>5 [5,6,8,3,1,7,2,4]=>[4,3,1,6,8,2,7,5]=>[1,1,3,2,1]=>11100101=>4 [6,1,4,8,3,2,7,5]=>[3,8,5,1,6,7,2,4]=>[2,1,3,2]=>10110010=>5 [3,4,7,1,8,6,2,5]=>[6,5,2,8,1,3,7,4]=>[1,1,2,3,1]=>11101001=>4 [3,4,6,8,2,1,5,7]=>[6,5,3,1,7,8,4,2]=>[1,1,1,3,1,1]=>11110011=>2 [3,8,2,5,6,1,4,7]=>[6,1,7,4,3,8,5,2]=>[1,2,1,2,1,1]=>11011011=>4 [3,5,2,8,6,4,1,7]=>[6,4,7,1,3,5,8,2]=>[1,2,4,1]=>11010001=>4 [4,2,5,7,3,8,6,1]=>[5,7,4,2,6,1,3,8]=>[2,1,2,3]=>10110100=>5 [7,4,2,5,3,8,1,6]=>[2,5,7,4,6,1,8,3]=>[3,2,2,1]=>10010101=>6 [3,1,2,8,5,6,4,7]=>[6,8,7,1,4,3,5,2]=>[2,1,2,2,1]=>10110101=>6 [5,2,1,6,8,3,4,7]=>[4,7,8,3,1,6,5,2]=>[3,1,2,1,1]=>10011011=>4 [5,2,6,8,4,1,3,7]=>[4,7,3,1,5,8,6,2]=>[2,1,3,1,1]=>10110011=>4 [1,5,6,8,3,4,2,7]=>[8,4,3,1,6,5,7,2]=>[1,1,1,2,2,1]=>11110101=>4 [4,5,8,1,6,3,2,7]=>[5,4,1,8,3,6,7,2]=>[1,1,2,3,1]=>11101001=>4 [4,5,1,6,8,3,2,7]=>[5,4,8,3,1,6,7,2]=>[1,2,1,3,1]=>11011001=>4 [4,5,7,3,8,2,6,1]=>[5,4,2,6,1,7,3,8]=>[1,1,2,2,2]=>11101010=>5 [6,4,3,7,8,2,5,1]=>[3,5,6,2,1,7,4,8]=>[3,1,2,2]=>10011010=>5 [6,4,3,1,7,8,2,5]=>[3,5,6,8,2,1,7,4]=>[4,1,2,1]=>10001101=>4 [4,5,3,1,7,8,2,6]=>[5,4,6,8,2,1,7,3]=>[1,3,1,2,1]=>11001101=>4 [7,1,3,5,4,8,2,6]=>[2,8,6,4,5,1,7,3]=>[2,1,2,2,1]=>10110101=>6 [7,5,2,8,1,4,3,6]=>[2,4,7,1,8,5,6,3]=>[3,2,2,1]=>10010101=>6 [5,7,3,8,4,6,1,2]=>[4,2,6,1,5,3,8,7]=>[1,2,2,2,1]=>11010101=>6 [1,4,5,7,3,8,6,2]=>[8,5,4,2,6,1,3,7]=>[1,1,1,2,3]=>11110100=>3 [4,6,3,7,8,5,2,1]=>[5,3,6,2,1,4,7,8]=>[1,2,1,4]=>11011000=>3 [5,3,6,7,8,4,2,1]=>[4,6,3,2,1,5,7,8]=>[2,1,1,4]=>10111000=>3 [1,5,3,6,7,8,4,2]=>[8,4,6,3,2,1,5,7]=>[1,2,1,1,3]=>11011100=>3 [4,6,1,7,3,8,5,2]=>[5,3,8,2,6,1,4,7]=>[1,2,2,3]=>11010100=>5 [6,3,7,1,8,4,5,2]=>[3,6,2,8,1,5,4,7]=>[2,2,2,2]=>10101010=>7 [6,7,2,4,8,1,5,3]=>[3,2,7,5,1,8,4,6]=>[1,2,1,2,2]=>11011010=>5 [2,6,1,4,7,3,8,5]=>[7,3,8,5,2,6,1,4]=>[1,2,1,2,2]=>11011010=>5 [3,2,5,6,7,8,1,4]=>[6,7,4,3,2,1,8,5]=>[2,1,1,1,2,1]=>10111101=>4 [5,2,3,6,7,8,4,1]=>[4,7,6,3,2,1,5,8]=>[2,1,1,1,3]=>10111100=>3 [6,7,1,3,2,8,4,5]=>[3,2,8,6,7,1,5,4]=>[1,2,2,2,1]=>11010101=>6 [6,2,7,1,3,4,8,5]=>[3,7,2,8,6,5,1,4]=>[2,2,1,1,2]=>10101110=>5 [5,2,1,7,3,8,4,6]=>[4,7,8,2,6,1,5,3]=>[3,2,2,1]=>10010101=>6 [6,4,2,7,1,8,3,5]=>[3,5,7,2,8,1,6,4]=>[3,2,2,1]=>10010101=>6 [4,2,6,3,7,8,1,5]=>[5,7,3,6,2,1,8,4]=>[2,2,1,2,1]=>10101101=>6 [4,2,6,3,7,8,5,1]=>[5,7,3,6,2,1,4,8]=>[2,2,1,3]=>10101100=>5 [6,7,3,8,2,4,5,1]=>[3,2,6,1,7,5,4,8]=>[1,2,2,1,2]=>11010110=>5 [3,6,2,7,4,1,8,5]=>[6,3,7,2,5,8,1,4]=>[1,2,3,2]=>11010010=>5 [6,7,3,2,1,4,8,5]=>[3,2,6,7,8,5,1,4]=>[1,4,1,2]=>11000110=>3 [7,1,8,3,4,2,5,6]=>[2,8,1,6,5,7,4,3]=>[2,2,2,1,1]=>10101011=>6 [7,2,4,1,8,3,5,6]=>[2,7,5,8,1,6,4,3]=>[2,2,2,1,1]=>10101011=>6 [7,2,4,8,6,1,3,5]=>[2,7,5,1,3,8,6,4]=>[2,1,3,1,1]=>10110011=>4 [7,3,4,8,6,2,1,5]=>[2,6,5,1,3,7,8,4]=>[2,1,4,1]=>10110001=>4 [3,5,7,2,1,8,6,4]=>[6,4,2,7,8,1,3,5]=>[1,1,3,3]=>11100100=>3 [6,7,8,3,2,5,1,4]=>[3,2,1,6,7,4,8,5]=>[1,1,3,2,1]=>11100101=>4 [6,3,7,8,2,5,4,1]=>[3,6,2,1,7,4,5,8]=>[2,1,2,3]=>10110100=>5 [2,6,7,4,8,5,3,1]=>[7,3,2,5,1,4,6,8]=>[1,1,2,4]=>11101000=>3 [6,2,4,7,1,8,5,3]=>[3,7,5,2,8,1,4,6]=>[2,1,2,3]=>10110100=>5 [4,6,2,7,1,8,5,3]=>[5,3,7,2,8,1,4,6]=>[1,2,2,3]=>11010100=>5 [1,7,4,8,5,2,6,3]=>[8,2,5,1,4,7,3,6]=>[1,2,3,2]=>11010010=>5 [1,3,7,8,5,2,6,4]=>[8,6,2,1,4,7,3,5]=>[1,1,1,3,2]=>11110010=>3 [2,5,7,8,1,6,3,4]=>[7,4,2,1,8,3,6,5]=>[1,1,1,2,2,1]=>11110101=>4 [6,3,7,1,8,2,5,4]=>[3,6,2,8,1,7,4,5]=>[2,2,2,2]=>10101010=>7 [1,6,4,7,8,2,5,3]=>[8,3,5,2,1,7,4,6]=>[1,2,1,2,2]=>11011010=>5 [2,5,6,1,7,8,4,3]=>[7,4,3,8,2,1,5,6]=>[1,1,2,1,3]=>11101100=>3 [5,6,1,2,7,8,4,3]=>[4,3,8,7,2,1,5,6]=>[1,2,1,1,3]=>11011100=>3 [6,7,2,1,8,5,3,4]=>[3,2,7,8,1,4,6,5]=>[1,3,3,1]=>11001001=>4 [6,7,2,8,5,4,1,3]=>[3,2,7,1,4,5,8,6]=>[1,2,4,1]=>11010001=>4 [1,6,7,4,8,5,3,2]=>[8,3,2,5,1,4,6,7]=>[1,1,2,4]=>11101000=>3 [1,3,7,4,6,2,5,8]=>[8,6,2,5,3,7,4,1]=>[1,1,2,2,1,1]=>11101011=>4 [1,5,7,4,3,6,2,8]=>[8,4,2,5,6,3,7,1]=>[1,1,3,2,1]=>11100101=>4 [1,8,4,5,3,6,2,7]=>[8,1,5,4,6,3,7,2]=>[1,2,2,2,1]=>11010101=>6 [1,8,5,3,4,7,2,6]=>[8,1,4,6,5,2,7,3]=>[1,3,1,2,1]=>11001101=>4 [1,8,2,4,6,3,7,5]=>[8,1,7,5,3,6,2,4]=>[1,2,1,2,2]=>11011010=>5 [1,8,2,5,4,6,7,3]=>[8,1,7,4,5,3,2,6]=>[1,2,2,1,2]=>11010110=>5 [3,6,2,7,1,4,5,8]=>[6,3,7,2,8,5,4,1]=>[1,2,2,1,1,1]=>11010111=>4 [6,3,8,1,2,4,7,5]=>[3,6,1,8,7,5,2,4]=>[2,2,1,1,2]=>10101110=>5 [1,4,7,5,2,6,8,3]=>[8,5,2,4,7,3,1,6]=>[1,1,3,1,2]=>11100110=>3 [4,5,2,7,1,3,8,6]=>[5,4,7,2,8,6,1,3]=>[1,2,2,1,2]=>11010110=>5 [4,5,2,3,6,1,8,7]=>[5,4,7,6,3,8,1,2]=>[1,2,1,2,2]=>11011010=>5 [4,6,5,3,7,1,8,2]=>[5,3,4,6,2,8,1,7]=>[1,3,2,2]=>11001010=>5 [4,2,3,8,6,7,1,5]=>[5,7,6,1,3,2,8,4]=>[2,1,2,2,1]=>10110101=>6 [6,2,4,8,5,1,7,3]=>[3,7,5,1,4,8,2,6]=>[2,1,3,2]=>10110010=>5 [5,2,4,8,1,3,7,6]=>[4,7,5,1,8,6,2,3]=>[2,1,2,1,2]=>10110110=>5 [6,2,5,4,8,3,7,1]=>[3,7,4,5,1,6,2,8]=>[2,2,2,2]=>10101010=>7 [6,4,3,5,8,2,7,1]=>[3,5,6,4,1,7,2,8]=>[3,1,2,2]=>10011010=>5 [5,2,3,4,8,1,6,7]=>[4,7,6,5,1,8,3,2]=>[2,1,1,2,1,1]=>10111011=>4 [3,5,2,4,7,1,6,8]=>[6,4,7,5,2,8,3,1]=>[1,2,1,2,1,1]=>11011011=>4 [4,5,3,7,1,6,2,8]=>[5,4,6,2,8,3,7,1]=>[1,2,2,2,1]=>11010101=>6 [6,2,4,8,5,1,3,7]=>[3,7,5,1,4,8,6,2]=>[2,1,3,1,1]=>10110011=>4 [7,6,3,8,5,1,2,4]=>[2,3,6,1,4,8,7,5]=>[3,3,1,1]=>10010011=>4 [4,2,6,7,3,8,1,5]=>[5,7,3,2,6,1,8,4]=>[2,1,2,2,1]=>10110101=>6 [1,5,7,4,2,8,6,3]=>[8,4,2,5,7,1,3,6]=>[1,1,3,3]=>11100100=>3 [1,3,7,2,8,6,4,5]=>[8,6,2,7,1,3,5,4]=>[1,1,2,3,1]=>11101001=>4 [1,4,3,7,8,6,2,5]=>[8,5,6,2,1,3,7,4]=>[1,2,1,3,1]=>11011001=>4 [1,5,3,6,8,2,7,4]=>[8,4,6,3,1,7,2,5]=>[1,2,1,2,2]=>11011010=>5 [4,5,2,7,1,8,6,3]=>[5,4,7,2,8,1,3,6]=>[1,2,2,3]=>11010100=>5 [4,3,6,5,7,8,1,2]=>[5,6,3,4,2,1,8,7]=>[2,2,1,2,1]=>10101101=>6 [4,2,3,5,6,8,1,7]=>[5,7,6,4,3,1,8,2]=>[2,1,1,1,2,1]=>10111101=>4 [5,2,6,4,7,8,3,1]=>[4,7,3,5,2,1,6,8]=>[2,2,1,3]=>10101100=>5 [4,2,6,7,3,8,5,1]=>[5,7,3,2,6,1,4,8]=>[2,1,2,3]=>10110100=>5 [3,2,5,6,8,1,7,4]=>[6,7,4,3,1,8,2,5]=>[2,1,1,2,2]=>10111010=>5 [6,4,5,2,3,8,7,1]=>[3,5,4,7,6,1,2,8]=>[2,2,1,3]=>10101100=>5 [8,4,6,7,5,2,3,1]=>[1,5,3,2,4,7,6,8]=>[2,1,3,2]=>10110010=>5 [4,6,5,2,3,1,8,7]=>[5,3,4,7,6,8,1,2]=>[1,3,2,2]=>11001010=>5 [6,4,2,5,3,1,8,7]=>[3,5,7,4,6,8,1,2]=>[3,3,2]=>10010010=>5 [6,4,2,5,3,8,7,1]=>[3,5,7,4,6,1,2,8]=>[3,2,3]=>10010100=>5 [8,6,4,7,5,2,3,1]=>[1,3,5,2,4,7,6,8]=>[3,3,2]=>10010010=>5 [8,6,2,7,4,5,3,1]=>[1,3,7,2,5,4,6,8]=>[3,2,3]=>10010100=>5 [6,4,2,5,8,7,3,1]=>[3,5,7,4,1,2,6,8]=>[3,1,4]=>10011000=>3 [4,6,2,5,3,8,7,1]=>[5,3,7,4,6,1,2,8]=>[1,2,2,3]=>11010100=>5 [4,6,5,2,3,8,7,1]=>[5,3,4,7,6,1,2,8]=>[1,3,1,3]=>11001100=>3 [6,8,7,4,5,2,3,1]=>[3,1,2,5,4,7,6,8]=>[1,3,2,2]=>11001010=>5 [4,8,6,7,5,2,3,1]=>[5,1,3,2,4,7,6,8]=>[1,2,3,2]=>11010010=>5 [6,8,4,7,5,2,3,1]=>[3,1,5,2,4,7,6,8]=>[1,2,3,2]=>11010010=>5 [6,8,2,7,4,5,3,1]=>[3,1,7,2,5,4,6,8]=>[1,2,2,3]=>11010100=>5 [8,6,4,7,2,5,3,1]=>[1,3,5,2,7,4,6,8]=>[3,2,3]=>10010100=>5 [8,6,2,4,7,5,3,1]=>[1,3,7,5,2,4,6,8]=>[3,1,4]=>10011000=>3 [6,8,2,4,7,5,3,1]=>[3,1,7,5,2,4,6,8]=>[1,2,1,4]=>11011000=>3 [4,8,2,6,7,5,3,1]=>[5,1,7,3,2,4,6,8]=>[1,2,1,4]=>11011000=>3 [2,8,4,6,7,5,3,1]=>[7,1,5,3,2,4,6,8]=>[1,2,1,4]=>11011000=>3 [2,8,6,7,4,5,3,1]=>[7,1,3,2,5,4,6,8]=>[1,2,2,3]=>11010100=>5 [6,8,7,2,4,5,3,1]=>[3,1,2,7,5,4,6,8]=>[1,3,1,3]=>11001100=>3 [2,6,4,5,8,7,3,1]=>[7,3,5,4,1,2,6,8]=>[1,2,1,4]=>11011000=>3 [2,6,4,8,7,5,3,1]=>[7,3,5,1,2,4,6,8]=>[1,2,5]=>11010000=>3 [4,6,2,8,7,5,3,1]=>[5,3,7,1,2,4,6,8]=>[1,2,5]=>11010000=>3 [8,2,4,6,7,5,3,1]=>[1,7,5,3,2,4,6,8]=>[2,1,1,4]=>10111000=>3 [6,2,4,8,7,5,3,1]=>[3,7,5,1,2,4,6,8]=>[2,1,5]=>10110000=>3 [4,2,6,8,7,5,3,1]=>[5,7,3,1,2,4,6,8]=>[2,1,5]=>10110000=>3 [4,2,6,5,8,7,3,1]=>[5,7,3,4,1,2,6,8]=>[2,2,4]=>10101000=>5 [6,2,4,5,8,7,3,1]=>[3,7,5,4,1,2,6,8]=>[2,1,1,4]=>10111000=>3 [8,2,6,7,4,5,3,1]=>[1,7,3,2,5,4,6,8]=>[2,1,2,3]=>10110100=>5 [8,6,7,2,4,5,3,1]=>[1,3,2,7,5,4,6,8]=>[2,2,1,3]=>10101100=>5 [6,4,5,2,8,7,3,1]=>[3,5,4,7,1,2,6,8]=>[2,2,4]=>10101000=>5 [4,2,3,6,8,7,5,1]=>[5,7,6,3,1,2,4,8]=>[2,1,1,4]=>10111000=>3 [6,4,5,8,7,2,3,1]=>[3,5,4,1,2,7,6,8]=>[2,1,3,2]=>10110010=>5 [8,6,7,4,2,5,3,1]=>[1,3,2,5,7,4,6,8]=>[2,3,3]=>10100100=>5 [8,4,6,7,2,5,3,1]=>[1,5,3,2,7,4,6,8]=>[2,1,2,3]=>10110100=>5 [6,4,8,7,2,5,3,1]=>[3,5,1,2,7,4,6,8]=>[2,3,3]=>10100100=>5 [6,2,8,7,4,5,3,1]=>[3,7,1,2,5,4,6,8]=>[2,3,3]=>10100100=>5 [6,4,8,7,5,2,3,1]=>[3,5,1,2,4,7,6,8]=>[2,4,2]=>10100010=>5 [4,6,8,7,5,2,3,1]=>[5,3,1,2,4,7,6,8]=>[1,1,4,2]=>11100010=>3 [4,6,5,8,7,2,3,1]=>[5,3,4,1,2,7,6,8]=>[1,2,3,2]=>11010010=>5 [2,1,6,8,7,4,5,3]=>[7,8,3,1,2,5,4,6]=>[2,1,3,2]=>10110010=>5 [2,6,8,7,4,5,3,1]=>[7,3,1,2,5,4,6,8]=>[1,1,3,3]=>11100100=>3 [2,4,8,6,7,5,3,1]=>[7,5,1,3,2,4,6,8]=>[1,1,2,4]=>11101000=>3 [4,2,8,6,7,5,3,1]=>[5,7,1,3,2,4,6,8]=>[2,2,4]=>10101000=>5 [6,2,8,4,7,5,3,1]=>[3,7,1,5,2,4,6,8]=>[2,2,4]=>10101000=>5 [8,2,6,4,7,5,3,1]=>[1,7,3,5,2,4,6,8]=>[2,2,4]=>10101000=>5 [6,4,8,2,7,5,3,1]=>[3,5,1,7,2,4,6,8]=>[2,2,4]=>10101000=>5 [4,6,8,2,7,5,3,1]=>[5,3,1,7,2,4,6,8]=>[1,1,2,4]=>11101000=>3 [2,6,8,4,7,5,3,1]=>[7,3,1,5,2,4,6,8]=>[1,1,2,4]=>11101000=>3 [4,6,8,7,2,5,3,1]=>[5,3,1,2,7,4,6,8]=>[1,1,3,3]=>11100100=>3 [4,6,5,8,2,7,3,1]=>[5,3,4,1,7,2,6,8]=>[1,2,2,3]=>11010100=>5 [2,1,6,8,4,7,5,3]=>[7,8,3,1,5,2,4,6]=>[2,1,2,3]=>10110100=>5 [2,1,8,6,4,7,5,3]=>[7,8,1,3,5,2,4,6]=>[2,3,3]=>10100100=>5 [6,8,7,4,2,5,3,1]=>[3,1,2,5,7,4,6,8]=>[1,4,3]=>11000100=>3 [2,8,6,4,7,5,3,1]=>[7,1,3,5,2,4,6,8]=>[1,3,4]=>11001000=>3 [4,8,6,2,7,5,3,1]=>[5,1,3,7,2,4,6,8]=>[1,3,4]=>11001000=>3 [9,8,7,3,6,2,5,1,4]=>[1,2,3,7,4,8,5,9,6]=>[4,2,2,1]=>100010101=>6 [9,8,7,6,3,5,1,2,4]=>[1,2,3,4,7,5,9,8,6]=>[5,2,1,1]=>100001011=>4 [9,4,8,3,7,2,6,1,5]=>[1,6,2,7,3,8,4,9,5]=>[2,2,2,2,1]=>101010101=>8 [9,8,4,7,3,6,1,2,5]=>[1,2,6,3,7,4,9,8,5]=>[3,2,2,1,1]=>100101011=>6 [9,8,7,2,4,6,1,3,5]=>[1,2,3,8,6,4,9,7,5]=>[4,1,2,1,1]=>100011011=>4 [9,8,7,4,6,1,2,3,5]=>[1,2,3,6,4,9,8,7,5]=>[4,2,1,1,1]=>100010111=>4 [5,9,4,8,3,7,1,2,6]=>[5,1,6,2,7,3,9,8,4]=>[1,2,2,2,1,1]=>110101011=>6 [9,5,8,2,4,7,1,3,6]=>[1,5,2,8,6,3,9,7,4]=>[2,2,1,2,1,1]=>101011011=>6 [9,5,8,4,7,1,2,3,6]=>[1,5,2,6,3,9,8,7,4]=>[2,2,2,1,1,1]=>101010111=>6 [9,8,3,5,7,1,2,4,6]=>[1,2,7,5,3,9,8,6,4]=>[3,1,2,1,1,1]=>100110111=>4 [9,8,5,7,1,2,3,4,6]=>[1,2,5,3,9,8,7,6,4]=>[3,2,1,1,1,1]=>100101111=>4 [6,9,3,5,8,1,2,4,7]=>[4,1,7,5,2,9,8,6,3]=>[1,2,1,2,1,1,1]=>110110111=>4 [6,9,5,8,1,2,3,4,7]=>[4,1,5,2,9,8,7,6,3]=>[1,2,2,1,1,1,1]=>110101111=>4 [9,2,4,6,8,1,3,5,7]=>[1,8,6,4,2,9,7,5,3]=>[2,1,1,2,1,1,1]=>101110111=>4 [9,4,6,8,1,2,3,5,7]=>[1,6,4,2,9,8,7,5,3]=>[2,1,2,1,1,1,1]=>101101111=>4 [9,6,8,1,2,3,4,5,7]=>[1,4,2,9,8,7,6,5,3]=>[2,2,1,1,1,1,1]=>101011111=>4 [3,5,7,9,1,2,4,6,8]=>[7,5,3,1,9,8,6,4,2]=>[1,1,1,2,1,1,1,1]=>111101111=>2 [5,7,9,1,2,3,4,6,8]=>[5,3,1,9,8,7,6,4,2]=>[1,1,2,1,1,1,1,1]=>111011111=>2 [7,9,1,2,3,4,5,6,8]=>[3,1,9,8,7,6,5,4,2]=>[1,2,1,1,1,1,1,1]=>110111111=>2 [4,2,5,6,3,8,1,7]=>[5,7,4,3,6,1,8,2]=>[2,1,2,2,1]=>10110101=>6 [6,2,5,7,4,8,3,1]=>[3,7,4,2,5,1,6,8]=>[2,1,2,3]=>10110100=>5 [8,5,2,1,4,7,6,3]=>[1,4,7,8,5,2,3,6]=>[4,1,3]=>10001100=>3 [6,7,3,2,5,8,4,1]=>[3,2,6,7,4,1,5,8]=>[1,3,1,3]=>11001100=>3 [3,2,6,4,8,1,5,7]=>[6,7,3,5,1,8,4,2]=>[2,2,2,1,1]=>10101011=>6 [2,3,6,4,7,8,5,1]=>[7,6,3,5,2,1,4,8]=>[1,1,2,1,3]=>11101100=>3 [7,5,1,8,3,4,6,2]=>[2,4,8,1,6,5,3,7]=>[3,2,1,2]=>10010110=>5 [5,7,8,2,6,3,4,1]=>[4,2,1,7,3,6,5,8]=>[1,1,2,2,2]=>11101010=>5 [7,1,6,3,5,8,4,2]=>[2,8,3,6,4,1,5,7]=>[2,2,1,3]=>10101100=>5 [6,3,1,7,8,4,5,2]=>[3,6,8,2,1,5,4,7]=>[3,1,2,2]=>10011010=>5 [5,3,6,7,4,1,8,2]=>[4,6,3,2,5,8,1,7]=>[2,1,3,2]=>10110010=>5 [7,3,1,2,5,8,6,4]=>[2,6,8,7,4,1,3,5]=>[3,1,1,3]=>10011100=>3 [1,6,3,5,2,4,8,7]=>[8,3,6,4,7,5,1,2]=>[1,2,2,1,2]=>11010110=>5 [3,4,8,2,7,5,1,6]=>[6,5,1,7,2,4,8,3]=>[1,1,2,3,1]=>11101001=>4 [6,3,2,8,5,7,4,1]=>[3,6,7,1,4,2,5,8]=>[3,2,3]=>10010100=>5 [3,8,4,7,2,5,6,1]=>[6,1,5,2,7,4,3,8]=>[1,2,2,1,2]=>11010110=>5 [2,4,8,1,5,3,7,6]=>[7,5,1,8,4,6,2,3]=>[1,1,2,2,2]=>11101010=>5 [3,4,8,1,6,2,7,5]=>[6,5,1,8,3,7,2,4]=>[1,1,2,2,2]=>11101010=>5 [1,8,4,6,7,3,5,2]=>[8,1,5,3,2,6,4,7]=>[1,2,1,2,2]=>11011010=>5 [8,1,6,3,4,5,7,2]=>[1,8,3,6,5,4,2,7]=>[2,2,1,1,2]=>10101110=>5 [7,6,5,4,1,2,8,3]=>[2,3,4,5,8,7,1,6]=>[5,1,2]=>10000110=>3 [5,7,6,8,3,4,2,1]=>[4,2,3,1,6,5,7,8]=>[1,2,2,3]=>11010100=>5 [2,8,1,6,5,7,4,3]=>[7,1,8,3,4,2,5,6]=>[1,2,2,3]=>11010100=>5 [4,6,8,2,5,3,7,1]=>[5,3,1,7,4,6,2,8]=>[1,1,2,2,2]=>11101010=>5 [5,2,3,7,6,1,8,4]=>[4,7,6,2,3,8,1,5]=>[2,1,3,2]=>10110010=>5 [8,1,2,4,6,7,3,5]=>[1,8,7,5,3,2,6,4]=>[2,1,1,1,2,1]=>10111101=>4 [5,2,3,7,4,8,6,1]=>[4,7,6,2,5,1,3,8]=>[2,1,2,3]=>10110100=>5 [5,2,6,8,4,3,1,7]=>[4,7,3,1,5,6,8,2]=>[2,1,4,1]=>10110001=>4 [7,8,1,5,4,3,6,2]=>[2,1,8,4,5,6,3,7]=>[1,2,3,2]=>11010010=>5 [7,2,4,8,5,3,6,1]=>[2,7,5,1,4,6,3,8]=>[2,1,3,2]=>10110010=>5 [3,7,5,1,8,4,6,2]=>[6,2,4,8,1,5,3,7]=>[1,3,2,2]=>11001010=>5 [2,7,8,5,4,6,1,3]=>[7,2,1,4,5,3,8,6]=>[1,1,3,2,1]=>11100101=>4 [5,7,4,3,8,6,2,1]=>[4,2,5,6,1,3,7,8]=>[1,3,4]=>11001000=>3 [4,8,1,6,3,5,2,7]=>[5,1,8,3,6,4,7,2]=>[1,2,2,2,1]=>11010101=>6 [8,3,1,7,4,2,5,6]=>[1,6,8,2,5,7,4,3]=>[3,3,1,1]=>10010011=>4 [3,1,8,2,4,5,7,6]=>[6,8,1,7,5,4,2,3]=>[2,2,1,1,2]=>10101110=>5 [8,1,3,7,6,2,4,5]=>[1,8,6,2,3,7,5,4]=>[2,1,3,1,1]=>10110011=>4 [2,3,6,8,7,1,4,5]=>[7,6,3,1,2,8,5,4]=>[1,1,1,3,1,1]=>11110011=>2 [4,3,2,8,5,7,1,6]=>[5,6,7,1,4,2,8,3]=>[3,2,2,1]=>10010101=>6 [3,6,4,2,8,5,7,1]=>[6,3,5,7,1,4,2,8]=>[1,3,2,2]=>11001010=>5 [4,7,3,2,5,1,8,6]=>[5,2,6,7,4,8,1,3]=>[1,3,2,2]=>11001010=>5 [3,2,4,7,5,8,6,1]=>[6,7,5,2,4,1,3,8]=>[2,1,2,3]=>10110100=>5 [4,2,3,8,6,5,1,7]=>[5,7,6,1,3,4,8,2]=>[2,1,4,1]=>10110001=>4 [2,4,3,5,1,8,6,7]=>[7,5,6,4,8,1,3,2]=>[1,2,2,2,1]=>11010101=>6 [3,2,8,1,4,6,5,7]=>[6,7,1,8,5,3,4,2]=>[2,2,1,2,1]=>10101101=>6 [3,7,8,5,6,1,2,4]=>[6,2,1,4,3,8,7,5]=>[1,1,2,2,1,1]=>11101011=>4 [3,6,1,8,4,7,2,5]=>[6,3,8,1,5,2,7,4]=>[1,2,2,2,1]=>11010101=>6 [3,1,6,8,4,7,2,5]=>[6,8,3,1,5,2,7,4]=>[2,1,2,2,1]=>10110101=>6 [4,1,6,8,3,2,7,5]=>[5,8,3,1,6,7,2,4]=>[2,1,3,2]=>10110010=>5 [4,6,1,8,3,2,7,5]=>[5,3,8,1,6,7,2,4]=>[1,2,3,2]=>11010010=>5 [4,7,8,1,3,2,6,5]=>[5,2,1,8,6,7,3,4]=>[1,1,2,2,2]=>11101010=>5 [4,7,8,3,1,2,6,5]=>[5,2,1,6,8,7,3,4]=>[1,1,3,1,2]=>11100110=>3 [2,7,8,3,4,6,5,1]=>[7,2,1,6,5,3,4,8]=>[1,1,2,1,3]=>11101100=>3 [4,7,8,2,1,3,6,5]=>[5,2,1,7,8,6,3,4]=>[1,1,3,1,2]=>11100110=>3 [4,6,1,8,2,3,7,5]=>[5,3,8,1,7,6,2,4]=>[1,2,2,1,2]=>11010110=>5 [4,1,6,8,2,3,7,5]=>[5,8,3,1,7,6,2,4]=>[2,1,2,1,2]=>10110110=>5 [4,5,1,2,8,3,7,6]=>[5,4,8,7,1,6,2,3]=>[1,2,1,2,2]=>11011010=>5 [4,5,2,1,8,3,7,6]=>[5,4,7,8,1,6,2,3]=>[1,3,2,2]=>11001010=>5 [4,6,2,8,1,3,7,5]=>[5,3,7,1,8,6,2,4]=>[1,2,2,1,2]=>11010110=>5 [3,6,2,8,4,7,1,5]=>[6,3,7,1,5,2,8,4]=>[1,2,2,2,1]=>11010101=>6 [2,3,6,8,4,7,5,1]=>[7,6,3,1,5,2,4,8]=>[1,1,1,2,3]=>11110100=>3 [3,2,6,8,4,7,1,5]=>[6,7,3,1,5,2,8,4]=>[2,1,2,2,1]=>10110101=>6 [4,2,6,8,3,1,7,5]=>[5,7,3,1,6,8,2,4]=>[2,1,3,2]=>10110010=>5 [4,2,5,1,8,3,7,6]=>[5,7,4,8,1,6,2,3]=>[2,2,2,2]=>10101010=>7 [4,1,2,5,8,3,7,6]=>[5,8,7,4,1,6,2,3]=>[2,1,1,2,2]=>10111010=>5 [5,2,4,1,3,8,7,6]=>[4,7,5,8,6,1,2,3]=>[2,2,1,3]=>10101100=>5 [4,2,5,3,8,1,7,6]=>[5,7,4,6,1,8,2,3]=>[2,2,2,2]=>10101010=>7 [3,2,5,4,8,7,1,6]=>[6,7,4,5,1,2,8,3]=>[2,2,3,1]=>10101001=>6 [3,5,2,4,8,7,1,6]=>[6,4,7,5,1,2,8,3]=>[1,2,1,3,1]=>11011001=>4 [5,4,2,1,3,8,7,6]=>[4,5,7,8,6,1,2,3]=>[4,1,3]=>10001100=>3 [5,1,4,2,3,8,7,6]=>[4,8,5,7,6,1,2,3]=>[2,2,1,3]=>10101100=>5 [5,4,1,3,2,8,7,6]=>[4,5,8,6,7,1,2,3]=>[3,2,3]=>10010100=>5 [5,4,3,1,2,8,7,6]=>[4,5,6,8,7,1,2,3]=>[4,1,3]=>10001100=>3 [4,5,3,1,8,2,7,6]=>[5,4,6,8,1,7,2,3]=>[1,3,2,2]=>11001010=>5 [4,5,1,3,8,2,7,6]=>[5,4,8,6,1,7,2,3]=>[1,2,1,2,2]=>11011010=>5 [3,1,5,4,8,7,2,6]=>[6,8,4,5,1,2,7,3]=>[2,2,3,1]=>10101001=>6 [3,5,1,4,8,7,2,6]=>[6,4,8,5,1,2,7,3]=>[1,2,1,3,1]=>11011001=>4 [3,5,4,1,8,7,2,6]=>[6,4,5,8,1,2,7,3]=>[1,3,3,1]=>11001001=>4 [3,6,5,8,7,1,2,4]=>[6,3,4,1,2,8,7,5]=>[1,2,3,1,1]=>11010011=>4 [2,5,6,8,7,3,4,1]=>[7,4,3,1,2,6,5,8]=>[1,1,1,3,2]=>11110010=>3 [3,4,5,1,8,7,2,6]=>[6,5,4,8,1,2,7,3]=>[1,1,2,3,1]=>11101001=>4 [4,1,3,5,8,2,7,6]=>[5,8,6,4,1,7,2,3]=>[2,1,1,2,2]=>10111010=>5 [4,3,6,8,2,1,7,5]=>[5,6,3,1,7,8,2,4]=>[2,1,3,2]=>10110010=>5 [2,4,6,8,3,7,5,1]=>[7,5,3,1,6,2,4,8]=>[1,1,1,2,3]=>11110100=>3 [3,4,5,2,8,7,1,6]=>[6,5,4,7,1,2,8,3]=>[1,1,2,3,1]=>11101001=>4 [5,3,1,4,2,8,7,6]=>[4,6,8,5,7,1,2,3]=>[3,2,3]=>10010100=>5 [5,1,3,4,2,8,7,6]=>[4,8,6,5,7,1,2,3]=>[2,1,2,3]=>10110100=>5 [5,1,3,2,4,8,7,6]=>[4,8,6,7,5,1,2,3]=>[2,2,1,3]=>10101100=>5 [5,3,2,1,4,8,7,6]=>[4,6,7,8,5,1,2,3]=>[4,1,3]=>10001100=>3 [4,3,2,5,8,1,7,6]=>[5,6,7,4,1,8,2,3]=>[3,1,2,2]=>10011010=>5 [3,4,2,5,8,7,1,6]=>[6,5,7,4,1,2,8,3]=>[1,2,1,3,1]=>11011001=>4 [3,2,4,5,8,7,1,6]=>[6,7,5,4,1,2,8,3]=>[2,1,1,3,1]=>10111001=>4 [4,2,3,5,8,1,7,6]=>[5,7,6,4,1,8,2,3]=>[2,1,1,2,2]=>10111010=>5 [5,2,3,1,4,8,7,6]=>[4,7,6,8,5,1,2,3]=>[2,2,1,3]=>10101100=>5 [5,2,1,3,4,8,7,6]=>[4,7,8,6,5,1,2,3]=>[3,1,1,3]=>10011100=>3 [5,1,2,3,4,8,7,6]=>[4,8,7,6,5,1,2,3]=>[2,1,1,1,3]=>10111100=>3 [8,6,2,5,4,1,3,7]=>[1,3,7,4,5,8,6,2]=>[3,3,1,1]=>10010011=>4 [6,5,7,4,2,8,3,1]=>[3,4,2,5,7,1,6,8]=>[2,3,3]=>10100100=>5 [6,7,5,3,8,2,4,1]=>[3,2,4,6,1,7,5,8]=>[1,3,2,2]=>11001010=>5 [8,2,1,6,3,4,5,7]=>[1,7,8,3,6,5,4,2]=>[3,2,1,1,1]=>10010111=>4 [8,3,5,6,2,4,1,7]=>[1,6,4,3,7,5,8,2]=>[2,1,2,2,1]=>10110101=>6 [8,6,2,1,3,5,4,7]=>[1,3,7,8,6,4,5,2]=>[4,1,2,1]=>10001101=>4 [8,1,2,3,4,6,5,7]=>[1,8,7,6,5,3,4,2]=>[2,1,1,1,2,1]=>10111101=>4 [6,2,3,7,8,4,5,1]=>[3,7,6,2,1,5,4,8]=>[2,1,1,2,2]=>10111010=>5 [7,5,8,2,6,3,4,1]=>[2,4,1,7,3,6,5,8]=>[2,2,2,2]=>10101010=>7 [7,3,1,6,5,8,4,2]=>[2,6,8,3,4,1,5,7]=>[3,2,3]=>10010100=>5 [1,5,6,7,3,4,8,2]=>[8,4,3,2,6,5,1,7]=>[1,1,1,2,1,2]=>11110110=>3 [6,7,8,2,1,4,5,3]=>[3,2,1,7,8,5,4,6]=>[1,1,3,1,2]=>11100110=>3 [8,4,7,6,2,1,3,5]=>[1,5,2,3,7,8,6,4]=>[2,4,1,1]=>10100011=>4 [5,3,8,4,7,2,6,1]=>[4,6,1,5,2,7,3,8]=>[2,2,2,2]=>10101010=>7 [8,1,3,7,6,4,2,5]=>[1,8,6,2,3,5,7,4]=>[2,1,4,1]=>10110001=>4 [5,3,1,7,8,6,2,4]=>[4,6,8,2,1,3,7,5]=>[3,1,3,1]=>10011001=>4 [3,5,8,2,7,1,6,4]=>[6,4,1,7,2,8,3,5]=>[1,1,2,2,2]=>11101010=>5 [6,2,8,5,3,1,7,4]=>[3,7,1,4,6,8,2,5]=>[2,4,2]=>10100010=>5 [8,2,6,4,7,1,3,5]=>[1,7,3,5,2,8,6,4]=>[2,2,2,1,1]=>10101011=>6 [3,4,2,8,5,1,7,6]=>[6,5,7,1,4,8,2,3]=>[1,2,3,2]=>11010010=>5 [3,8,6,5,2,1,7,4]=>[6,1,3,4,7,8,2,5]=>[1,5,2]=>11000010=>3 [8,3,7,4,2,5,6,1]=>[1,6,2,5,7,4,3,8]=>[2,3,1,2]=>10100110=>5 [4,8,5,7,2,1,3,6]=>[5,1,4,2,7,8,6,3]=>[1,2,3,1,1]=>11010011=>4 [3,4,1,8,2,6,7,5]=>[6,5,8,1,7,3,2,4]=>[1,2,2,1,2]=>11010110=>5 [8,4,6,3,7,1,5,2]=>[1,5,3,6,2,8,4,7]=>[2,2,2,2]=>10101010=>7 [6,8,3,4,1,5,7,2]=>[3,1,6,5,8,4,2,7]=>[1,2,2,1,2]=>11010110=>5 [5,1,7,6,2,8,4,3]=>[4,8,2,3,7,1,5,6]=>[2,3,3]=>10100100=>5 [6,8,2,5,7,4,1,3]=>[3,1,7,4,2,5,8,6]=>[1,2,1,3,1]=>11011001=>4 [2,8,5,6,7,1,3,4]=>[7,1,4,3,2,8,6,5]=>[1,2,1,2,1,1]=>11011011=>4 [2,5,7,6,3,1,8,4]=>[7,4,2,3,6,8,1,5]=>[1,1,4,2]=>11100010=>3 [4,2,8,3,1,5,6,7]=>[5,7,1,6,8,4,3,2]=>[2,3,1,1,1]=>10100111=>4 [2,5,7,3,8,4,6,1]=>[7,4,2,6,1,5,3,8]=>[1,1,2,2,2]=>11101010=>5 [4,2,7,1,8,5,3,6]=>[5,7,2,8,1,4,6,3]=>[2,2,3,1]=>10101001=>6 [4,2,1,8,7,5,6,3]=>[5,7,8,1,2,4,3,6]=>[3,3,2]=>10010010=>5 [8,3,6,7,1,5,4,2]=>[1,6,3,2,8,4,5,7]=>[2,1,2,3]=>10110100=>5 [1,3,7,5,8,6,4,2]=>[8,6,2,4,1,3,5,7]=>[1,1,2,4]=>11101000=>3 [5,7,8,4,3,1,6,2]=>[4,2,1,5,6,8,3,7]=>[1,1,4,2]=>11100010=>3 [2,7,4,5,8,3,6,1]=>[7,2,5,4,1,6,3,8]=>[1,2,1,2,2]=>11011010=>5 [3,5,7,1,4,8,6,2]=>[6,4,2,8,5,1,3,7]=>[1,1,2,1,3]=>11101100=>3 [7,2,8,5,1,4,6,3]=>[2,7,1,4,8,5,3,6]=>[2,3,1,2]=>10100110=>5 [1,6,5,3,8,4,2,7]=>[8,3,4,6,1,5,7,2]=>[1,3,3,1]=>11001001=>4 [5,7,4,8,3,6,2,1]=>[4,2,5,1,6,3,7,8]=>[1,2,2,3]=>11010100=>5 [4,8,6,1,3,5,2,7]=>[5,1,3,8,6,4,7,2]=>[1,3,1,2,1]=>11001101=>4 [1,8,3,2,4,7,5,6]=>[8,1,6,7,5,2,4,3]=>[1,3,1,2,1]=>11001101=>4 [8,4,3,2,5,7,1,6]=>[1,5,6,7,4,2,8,3]=>[4,1,2,1]=>10001101=>4 [3,6,4,8,2,5,7,1]=>[6,3,5,1,7,4,2,8]=>[1,2,2,1,2]=>11010110=>5 [4,3,7,2,5,8,1,6]=>[5,6,2,7,4,1,8,3]=>[2,2,1,2,1]=>10101101=>6 [3,2,4,7,8,5,6,1]=>[6,7,5,2,1,4,3,8]=>[2,1,1,2,2]=>10111010=>5 [2,6,4,3,8,5,1,7]=>[7,3,5,6,1,4,8,2]=>[1,3,3,1]=>11001001=>4 [3,8,2,1,6,4,5,7]=>[6,1,7,8,3,5,4,2]=>[1,3,2,1,1]=>11001011=>4 [8,2,1,3,4,5,7,6]=>[1,7,8,6,5,4,2,3]=>[3,1,1,1,2]=>10011110=>3 [4,6,8,3,2,1,5,7]=>[5,3,1,6,7,8,4,2]=>[1,1,4,1,1]=>11100011=>2 [3,2,6,8,5,4,1,7]=>[6,7,3,1,4,5,8,2]=>[2,1,4,1]=>10110001=>4 [7,3,8,2,5,4,1,6]=>[2,6,1,7,4,5,8,3]=>[2,2,3,1]=>10101001=>6 [4,2,5,3,8,7,6,1]=>[5,7,4,6,1,2,3,8]=>[2,2,4]=>10101000=>5 [4,8,2,6,5,3,1,7]=>[5,1,7,3,4,6,8,2]=>[1,2,4,1]=>11010001=>4 [2,6,8,5,4,1,3,7]=>[7,3,1,4,5,8,6,2]=>[1,1,4,1,1]=>11100011=>2 [3,1,8,6,5,4,2,7]=>[6,8,1,3,4,5,7,2]=>[2,5,1]=>10100001=>4 [5,4,8,7,3,2,6,1]=>[4,5,1,2,6,7,3,8]=>[2,4,2]=>10100010=>5 [6,4,8,3,7,2,5,1]=>[3,5,1,6,2,7,4,8]=>[2,2,2,2]=>10101010=>7 [4,7,3,6,2,1,8,5]=>[5,2,6,3,7,8,1,4]=>[1,2,3,2]=>11010010=>5 [5,4,3,7,1,8,2,6]=>[4,5,6,2,8,1,7,3]=>[3,2,2,1]=>10010101=>6 [7,3,8,5,1,4,2,6]=>[2,6,1,4,8,5,7,3]=>[2,3,2,1]=>10100101=>6 [5,4,8,7,6,2,1,3]=>[4,5,1,2,3,7,8,6]=>[2,5,1]=>10100001=>4 [3,8,1,5,7,4,6,2]=>[6,1,8,4,2,5,3,7]=>[1,2,1,2,2]=>11011010=>5 [4,8,5,7,3,1,6,2]=>[5,1,4,2,6,8,3,7]=>[1,2,3,2]=>11010010=>5 [1,5,4,8,3,7,6,2]=>[8,4,5,1,6,2,3,7]=>[1,2,2,3]=>11010100=>5 [4,8,3,6,7,1,5,2]=>[5,1,6,3,2,8,4,7]=>[1,2,1,2,2]=>11011010=>5 [4,7,8,3,1,6,5,2]=>[5,2,1,6,8,3,4,7]=>[1,1,3,3]=>11100100=>3 [8,7,5,3,6,4,2,1]=>[1,2,4,6,3,5,7,8]=>[4,4]=>10001000=>3 [4,6,1,3,8,7,5,2]=>[5,3,8,6,1,2,4,7]=>[1,2,1,4]=>11011000=>3 [6,8,2,1,7,4,5,3]=>[3,1,7,8,2,5,4,6]=>[1,3,2,2]=>11001010=>5 [3,7,1,6,4,2,8,5]=>[6,2,8,3,5,7,1,4]=>[1,2,3,2]=>11010010=>5 [3,1,2,7,5,6,8,4]=>[6,8,7,2,4,3,1,5]=>[2,1,2,1,2]=>10110110=>5 [3,6,1,2,7,5,8,4]=>[6,3,8,7,2,4,1,5]=>[1,2,1,2,2]=>11011010=>5 [3,7,6,2,5,8,1,4]=>[6,2,3,7,4,1,8,5]=>[1,3,1,2,1]=>11001101=>4 [3,6,2,5,8,7,4,1]=>[6,3,7,4,1,2,5,8]=>[1,2,1,4]=>11011000=>3 [8,5,2,3,6,7,4,1]=>[1,4,7,6,3,2,5,8]=>[3,1,1,3]=>10011100=>3 [4,7,2,6,3,8,1,5]=>[5,2,7,3,6,1,8,4]=>[1,2,2,2,1]=>11010101=>6 [6,3,2,4,8,7,5,1]=>[3,6,7,5,1,2,4,8]=>[3,1,4]=>10011000=>3 [3,7,2,4,6,1,8,5]=>[6,2,7,5,3,8,1,4]=>[1,2,1,2,2]=>11011010=>5 [5,3,7,2,8,1,4,6]=>[4,6,2,7,1,8,5,3]=>[2,2,2,1,1]=>10101011=>6 [6,3,2,8,7,5,1,4]=>[3,6,7,1,2,4,8,5]=>[3,4,1]=>10010001=>4 [7,3,8,2,6,5,1,4]=>[2,6,1,7,3,4,8,5]=>[2,2,3,1]=>10101001=>6 [6,4,8,7,2,5,1,3]=>[3,5,1,2,7,4,8,6]=>[2,3,2,1]=>10100101=>6 [2,5,4,8,1,7,6,3]=>[7,4,5,1,8,2,3,6]=>[1,2,2,3]=>11010100=>5 [5,2,8,1,7,6,3,4]=>[4,7,1,8,2,3,6,5]=>[2,2,3,1]=>10101001=>6 [6,2,1,3,8,7,5,4]=>[3,7,8,6,1,2,4,5]=>[3,1,4]=>10011000=>3 [3,6,1,8,7,5,2,4]=>[6,3,8,1,2,4,7,5]=>[1,2,4,1]=>11010001=>4 [5,6,1,2,8,7,4,3]=>[4,3,8,7,1,2,5,6]=>[1,2,1,4]=>11011000=>3 [7,5,2,8,1,6,4,3]=>[2,4,7,1,8,3,5,6]=>[3,2,3]=>10010100=>5 [2,7,6,8,1,5,4,3]=>[7,2,3,1,8,4,5,6]=>[1,2,2,3]=>11010100=>5 [7,8,5,1,6,2,4,3]=>[2,1,4,8,3,7,5,6]=>[1,3,2,2]=>11001010=>5 [7,4,8,6,1,2,5,3]=>[2,5,1,3,8,7,4,6]=>[2,3,1,2]=>10100110=>5 [7,2,1,8,3,6,5,4]=>[2,7,8,1,6,3,4,5]=>[3,2,3]=>10010100=>5 [5,8,7,1,6,4,3,2]=>[4,1,2,8,3,5,6,7]=>[1,3,4]=>11001000=>3 [7,6,5,4,3,2,9,8,1]=>[3,4,5,6,7,8,1,2,9]=>[6,3]=>100000100=>3 [9,6,5,4,3,2,8,1,7]=>[1,4,5,6,7,8,2,9,3]=>[6,2,1]=>100000101=>4 [9,7,5,4,3,2,1,8,6]=>[1,3,5,6,7,8,9,2,4]=>[7,2]=>100000010=>3 [8,5,4,3,7,2,1,6]=>[1,4,5,6,2,7,8,3]=>[4,3,1]=>10001001=>4 [6,5,4,8,3,2,7,1]=>[3,4,5,1,6,7,2,8]=>[3,3,2]=>10010010=>5 [7,6,5,4,3,9,2,8,1]=>[3,4,5,6,7,1,8,2,9]=>[5,2,2]=>100001010=>5 [7,6,4,3,2,8,5,1]=>[2,3,5,6,7,1,4,8]=>[5,3]=>10000100=>3 [8,6,5,4,3,2,9,7,1]=>[2,4,5,6,7,8,1,3,9]=>[6,3]=>100000100=>3 [7,3,1,4,8,2,5,6]=>[2,6,8,5,1,7,4,3]=>[3,1,2,1,1]=>10011011=>4 [7,4,1,2,5,8,3,6]=>[2,5,8,7,4,1,6,3]=>[3,1,1,2,1]=>10011101=>4 [6,7,4,2,5,1,3,8]=>[3,2,5,7,4,8,6,1]=>[1,3,2,1,1]=>11001011=>4 [5,7,2,4,6,8,1,3]=>[4,2,7,5,3,1,8,6]=>[1,2,1,1,2,1]=>11011101=>4 [4,7,5,1,6,2,8,3]=>[5,2,4,8,3,7,1,6]=>[1,3,2,2]=>11001010=>5 [7,5,1,4,3,2,8,6]=>[2,4,8,5,6,7,1,3]=>[3,3,2]=>10010010=>5 [8,6,4,2,3,7,5,1]=>[1,3,5,7,6,2,4,8]=>[4,1,3]=>10001100=>3 [6,4,7,1,3,8,5,2]=>[3,5,2,8,6,1,4,7]=>[2,2,1,3]=>10101100=>5 [5,4,2,7,3,1,6,8]=>[4,5,7,2,6,8,3,1]=>[3,3,1,1]=>10010011=>4 [4,5,1,2,7,6,8,3]=>[5,4,8,7,2,3,1,6]=>[1,2,1,2,2]=>11011010=>5 [5,4,6,8,3,1,2,7]=>[4,5,3,1,6,8,7,2]=>[2,1,3,1,1]=>10110011=>4 [4,6,1,3,8,5,2,7]=>[5,3,8,6,1,4,7,2]=>[1,2,1,3,1]=>11011001=>4 [1,3,8,4,5,7,2,6]=>[8,6,1,5,4,2,7,3]=>[1,1,2,1,2,1]=>11101101=>4 [2,6,7,4,5,3,1,8]=>[7,3,2,5,4,6,8,1]=>[1,1,2,3,1]=>11101001=>4 [1,3,7,4,2,8,5,6]=>[8,6,2,5,7,1,4,3]=>[1,1,3,2,1]=>11100101=>4 [4,6,1,3,7,2,5,8]=>[5,3,8,6,2,7,4,1]=>[1,2,1,2,1,1]=>11011011=>4 [7,5,8,6,2,1,3,4]=>[2,4,1,3,7,8,6,5]=>[2,4,1,1]=>10100011=>4 [2,8,1,3,6,5,4,7]=>[7,1,8,6,3,4,5,2]=>[1,2,1,3,1]=>11011001=>4 [2,8,7,3,5,4,1,6]=>[7,1,2,6,4,5,8,3]=>[1,3,3,1]=>11001001=>4 [3,4,2,6,8,7,1,5]=>[6,5,7,3,1,2,8,4]=>[1,2,1,3,1]=>11011001=>4 [7,3,8,4,1,2,6,5]=>[2,6,1,5,8,7,3,4]=>[2,3,1,2]=>10100110=>5 [6,8,3,2,7,1,5,4]=>[3,1,6,7,2,8,4,5]=>[1,3,2,2]=>11001010=>5 [2,8,5,6,3,7,1,4]=>[7,1,4,3,6,2,8,5]=>[1,2,2,2,1]=>11010101=>6 [7,4,2,5,8,1,6,3]=>[2,5,7,4,1,8,3,6]=>[3,1,2,2]=>10011010=>5 [3,7,1,2,4,6,5,8]=>[6,2,8,7,5,3,4,1]=>[1,2,1,1,2,1]=>11011101=>4 [7,5,6,8,2,1,4,3]=>[2,4,3,1,7,8,5,6]=>[2,1,3,2]=>10110010=>5 [3,1,6,5,2,7,4,8]=>[6,8,3,4,7,2,5,1]=>[2,3,2,1]=>10100101=>6 [2,8,6,5,3,4,1,7]=>[7,1,3,4,6,5,8,2]=>[1,4,2,1]=>11000101=>4 [1,7,2,3,5,6,8,4]=>[8,2,7,6,4,3,1,5]=>[1,2,1,1,1,2]=>11011110=>3 [3,4,6,2,8,5,7,1]=>[6,5,3,7,1,4,2,8]=>[1,1,2,2,2]=>11101010=>5 [4,2,1,7,5,8,3,6]=>[5,7,8,2,4,1,6,3]=>[3,2,2,1]=>10010101=>6 [4,7,2,6,5,1,3,8]=>[5,2,7,3,4,8,6,1]=>[1,2,3,1,1]=>11010011=>4 [3,7,4,1,2,5,8,6]=>[6,2,5,8,7,4,1,3]=>[1,3,1,1,2]=>11001110=>3 [4,7,1,6,5,2,8,3]=>[5,2,8,3,4,7,1,6]=>[1,2,3,2]=>11010010=>5 [4,7,3,6,5,1,8,2]=>[5,2,6,3,4,8,1,7]=>[1,2,3,2]=>11010010=>5 [4,3,7,1,6,8,5,2]=>[5,6,2,8,3,1,4,7]=>[2,2,1,3]=>10101100=>5 [4,2,1,7,5,6,8,3]=>[5,7,8,2,4,3,1,6]=>[3,2,1,2]=>10010110=>5 [3,2,4,8,6,7,1,5]=>[6,7,5,1,3,2,8,4]=>[2,1,2,2,1]=>10110101=>6 [4,2,6,8,7,3,1,5]=>[5,7,3,1,2,6,8,4]=>[2,1,4,1]=>10110001=>4 [3,4,6,1,8,5,2,7]=>[6,5,3,8,1,4,7,2]=>[1,1,2,3,1]=>11101001=>4 [4,1,6,7,5,8,2,3]=>[5,8,3,2,4,1,7,6]=>[2,1,2,2,1]=>10110101=>6 [4,3,7,1,6,8,2,5]=>[5,6,2,8,3,1,7,4]=>[2,2,1,2,1]=>10101101=>6 [4,1,7,3,6,5,2,8]=>[5,8,2,6,3,4,7,1]=>[2,2,3,1]=>10101001=>6 [2,8,7,4,3,5,1,6]=>[7,1,2,5,6,4,8,3]=>[1,4,2,1]=>11000101=>4 [3,8,1,4,2,6,5,7]=>[6,1,8,5,7,3,4,2]=>[1,2,2,2,1]=>11010101=>6 [4,1,7,3,6,2,5,8]=>[5,8,2,6,3,7,4,1]=>[2,2,2,1,1]=>10101011=>6 [5,8,7,6,1,2,4,3]=>[4,1,2,3,8,7,5,6]=>[1,4,1,2]=>11000110=>3 [5,8,7,6,2,1,3,4]=>[4,1,2,3,7,8,6,5]=>[1,5,1,1]=>11000011=>2 [4,1,7,2,6,8,5,3]=>[5,8,2,7,3,1,4,6]=>[2,2,1,3]=>10101100=>5 [4,2,7,3,6,1,8,5]=>[5,7,2,6,3,8,1,4]=>[2,2,2,2]=>10101010=>7 [3,8,2,4,5,6,7,1]=>[6,1,7,5,4,3,2,8]=>[1,2,1,1,1,2]=>11011110=>3 [3,8,5,6,2,4,1,7]=>[6,1,4,3,7,5,8,2]=>[1,2,2,2,1]=>11010101=>6 [2,8,6,5,3,7,1,4]=>[7,1,3,4,6,2,8,5]=>[1,4,2,1]=>11000101=>4 [3,8,6,5,1,4,7,2]=>[6,1,3,4,8,5,2,7]=>[1,4,1,2]=>11000110=>3 [3,8,2,1,4,6,7,5]=>[6,1,7,8,5,3,2,4]=>[1,3,1,1,2]=>11001110=>3 [3,8,2,5,4,6,7,1]=>[6,1,7,4,5,3,2,8]=>[1,2,2,1,2]=>11010110=>5 [4,2,7,5,6,3,8,1]=>[5,7,2,4,3,6,1,8]=>[2,2,2,2]=>10101010=>7 [4,2,6,7,5,3,1,8]=>[5,7,3,2,4,6,8,1]=>[2,1,4,1]=>10110001=>4 [3,2,6,1,4,5,8,7]=>[6,7,3,8,5,4,1,2]=>[2,2,1,1,2]=>10101110=>5 [3,8,1,2,4,6,5,7]=>[6,1,8,7,5,3,4,2]=>[1,2,1,1,2,1]=>11011101=>4 [5,8,7,6,1,3,4,2]=>[4,1,2,3,8,6,5,7]=>[1,4,1,2]=>11000110=>3 [5,8,7,6,2,3,4,1]=>[4,1,2,3,7,6,5,8]=>[1,4,1,2]=>11000110=>3 [4,1,7,5,6,2,3,8]=>[5,8,2,4,3,7,6,1]=>[2,2,2,1,1]=>10101011=>6 [3,8,1,5,2,6,4,7]=>[6,1,8,4,7,3,5,2]=>[1,2,2,2,1]=>11010101=>6 [2,8,7,5,3,4,1,6]=>[7,1,2,4,6,5,8,3]=>[1,4,2,1]=>11000101=>4 [2,8,7,5,4,3,1,6]=>[7,1,2,4,5,6,8,3]=>[1,6,1]=>11000001=>2 [4,1,7,5,6,3,2,8]=>[5,8,2,4,3,6,7,1]=>[2,2,3,1]=>10101001=>6 [5,8,7,6,1,3,2,4]=>[4,1,2,3,8,6,7,5]=>[1,4,2,1]=>11000101=>4 [5,8,7,6,4,1,2,3]=>[4,1,2,3,5,8,7,6]=>[1,5,1,1]=>11000011=>2 [5,4,2,3,7,6,8,1]=>[4,5,7,6,2,3,1,8]=>[3,1,2,2]=>10011010=>5 [7,4,3,5,2,8,1,6]=>[2,5,6,4,7,1,8,3]=>[3,2,2,1]=>10010101=>6 [8,4,3,7,5,1,6,2]=>[1,5,6,2,4,8,3,7]=>[3,3,2]=>10010010=>5 [8,4,7,2,5,1,6,3]=>[1,5,2,7,4,8,3,6]=>[2,2,2,2]=>10101010=>7 [7,4,6,2,3,5,8,1]=>[2,5,3,7,6,4,1,8]=>[2,2,1,1,2]=>10101110=>5 [5,1,7,2,4,6,8,3]=>[4,8,2,7,5,3,1,6]=>[2,2,1,1,2]=>10101110=>5 [4,5,7,1,2,6,8,3]=>[5,4,2,8,7,3,1,6]=>[1,1,2,1,1,2]=>11101110=>3 [5,4,1,7,3,6,8,2]=>[4,5,8,2,6,3,1,7]=>[3,2,1,2]=>10010110=>5 [3,6,4,7,5,2,8,1]=>[6,3,5,2,4,7,1,8]=>[1,2,3,2]=>11010010=>5 [3,4,7,6,2,5,8,1]=>[6,5,2,3,7,4,1,8]=>[1,1,3,1,2]=>11100110=>3 [4,7,5,6,1,3,8,2]=>[5,2,4,3,8,6,1,7]=>[1,2,2,1,2]=>11010110=>5 [5,7,6,4,3,1,8,2]=>[4,2,3,5,6,8,1,7]=>[1,5,2]=>11000010=>3 [5,7,6,3,1,4,8,2]=>[4,2,3,6,8,5,1,7]=>[1,4,1,2]=>11000110=>3 [7,5,2,3,4,8,1,6]=>[2,4,7,6,5,1,8,3]=>[3,1,1,2,1]=>10011101=>4 [8,7,5,3,4,1,6,2]=>[1,2,4,6,5,8,3,7]=>[4,2,2]=>10001010=>5 [6,7,1,3,8,4,2,5]=>[3,2,8,6,1,5,7,4]=>[1,2,1,3,1]=>11011001=>4 [7,6,1,3,4,8,5,2]=>[2,3,8,6,5,1,4,7]=>[3,1,1,3]=>10011100=>3 [3,6,5,2,7,8,1,4]=>[6,3,4,7,2,1,8,5]=>[1,3,1,2,1]=>11001101=>4 [3,2,8,6,7,1,4,5]=>[6,7,1,3,2,8,5,4]=>[2,2,2,1,1]=>10101011=>6 [4,8,3,6,5,2,1,7]=>[5,1,6,3,4,7,8,2]=>[1,2,4,1]=>11010001=>4 [1,8,6,5,4,2,3,7]=>[8,1,3,4,5,7,6,2]=>[1,5,1,1]=>11000011=>2 [1,8,7,2,3,5,4,6]=>[8,1,2,7,6,4,5,3]=>[1,3,1,2,1]=>11001101=>4 [1,8,7,2,5,3,4,6]=>[8,1,2,7,4,6,5,3]=>[1,3,2,1,1]=>11001011=>4 [3,6,8,5,1,2,4,7]=>[6,3,1,4,8,7,5,2]=>[1,1,3,1,1,1]=>11100111=>2 [3,7,5,1,8,2,6,4]=>[6,2,4,8,1,7,3,5]=>[1,3,2,2]=>11001010=>5 [7,1,2,8,3,5,6,4]=>[2,8,7,1,6,4,3,5]=>[2,1,2,1,2]=>10110110=>5 [6,1,7,8,2,5,3,4]=>[3,8,2,1,7,4,6,5]=>[2,1,2,2,1]=>10110101=>6 [6,7,5,2,8,1,4,3]=>[3,2,4,7,1,8,5,6]=>[1,3,2,2]=>11001010=>5 [7,1,4,5,8,6,2,3]=>[2,8,5,4,1,3,7,6]=>[2,1,1,3,1]=>10111001=>4 [5,7,6,4,2,8,1,3]=>[4,2,3,5,7,1,8,6]=>[1,4,2,1]=>11000101=>4 [7,5,6,1,2,8,4,3]=>[2,4,3,8,7,1,5,6]=>[2,2,1,3]=>10101100=>5 [4,1,3,7,8,6,2,5]=>[5,8,6,2,1,3,7,4]=>[2,1,1,3,1]=>10111001=>4 [5,1,4,3,6,8,7,2]=>[4,8,5,6,3,1,2,7]=>[2,2,1,3]=>10101100=>5 [4,5,7,6,8,2,1,3]=>[5,4,2,3,1,7,8,6]=>[1,1,2,3,1]=>11101001=>4 [5,7,6,8,4,2,1,3]=>[4,2,3,1,5,7,8,6]=>[1,2,4,1]=>11010001=>4 [5,1,6,8,4,2,7,3]=>[4,8,3,1,5,7,2,6]=>[2,1,3,2]=>10110010=>5 [7,4,8,2,3,6,5,1]=>[2,5,1,7,6,3,4,8]=>[2,2,1,3]=>10101100=>5 [5,6,8,4,7,3,2,1]=>[4,3,1,5,2,6,7,8]=>[1,1,2,4]=>11101000=>3 [6,4,7,8,5,2,1,3]=>[3,5,2,1,4,7,8,6]=>[2,1,4,1]=>10110001=>4 [3,6,4,8,5,1,2,7]=>[6,3,5,1,4,8,7,2]=>[1,2,3,1,1]=>11010011=>4 [3,7,4,8,1,2,5,6]=>[6,2,5,1,8,7,4,3]=>[1,2,2,1,1,1]=>11010111=>4 [7,4,3,8,2,6,5,1]=>[2,5,6,1,7,3,4,8]=>[3,2,3]=>10010100=>5 [7,6,8,3,2,5,4,1]=>[2,3,1,6,7,4,5,8]=>[2,3,3]=>10100100=>5 [8,7,1,3,5,4,6,2]=>[1,2,8,6,4,5,3,7]=>[3,1,2,2]=>10011010=>5 [7,1,8,3,4,2,6,5]=>[2,8,1,6,5,7,3,4]=>[2,2,2,2]=>10101010=>7 [7,6,8,3,1,4,5,2]=>[2,3,1,6,8,5,4,7]=>[2,3,1,2]=>10100110=>5 [3,1,4,8,2,5,7,6]=>[6,8,5,1,7,4,2,3]=>[2,1,2,1,2]=>10110110=>5 [4,8,5,2,1,3,6,7]=>[5,1,4,7,8,6,3,2]=>[1,4,1,1,1]=>11000111=>2 [5,8,2,6,3,1,4,7]=>[4,1,7,3,6,8,5,2]=>[1,2,3,1,1]=>11010011=>4 [6,8,2,3,7,4,1,5]=>[3,1,7,6,2,5,8,4]=>[1,2,1,3,1]=>11011001=>4 [7,8,2,3,4,6,5,1]=>[2,1,7,6,5,3,4,8]=>[1,2,1,1,3]=>11011100=>3 [8,1,7,2,4,5,3,6]=>[1,8,2,7,5,4,6,3]=>[2,2,1,2,1]=>10101101=>6 [8,1,3,6,2,5,4,7]=>[1,8,6,3,7,4,5,2]=>[2,1,2,2,1]=>10110101=>6 [7,2,1,6,3,5,4,8]=>[2,7,8,3,6,4,5,1]=>[3,2,2,1]=>10010101=>6 [2,7,1,6,3,5,4,8]=>[7,2,8,3,6,4,5,1]=>[1,2,2,2,1]=>11010101=>6 [2,7,1,5,4,3,6,8]=>[7,2,8,4,5,6,3,1]=>[1,2,3,1,1]=>11010011=>4 [7,2,1,5,4,3,6,8]=>[2,7,8,4,5,6,3,1]=>[3,3,1,1]=>10010011=>4 [8,1,3,5,4,2,6,7]=>[1,8,6,4,5,7,3,2]=>[2,1,3,1,1]=>10110011=>4 [8,1,5,3,4,2,6,7]=>[1,8,4,6,5,7,3,2]=>[2,2,2,1,1]=>10101011=>6 [8,1,5,6,2,3,7,4]=>[1,8,4,3,7,6,2,5]=>[2,1,2,1,2]=>10110110=>5 [8,1,4,5,3,2,6,7]=>[1,8,5,4,6,7,3,2]=>[2,1,3,1,1]=>10110011=>4 [8,1,4,3,5,2,6,7]=>[1,8,5,6,4,7,3,2]=>[2,2,2,1,1]=>10101011=>6 [7,2,1,4,5,3,6,8]=>[2,7,8,5,4,6,3,1]=>[3,1,2,1,1]=>10011011=>4 [2,7,1,4,5,3,6,8]=>[7,2,8,5,4,6,3,1]=>[1,2,1,2,1,1]=>11011011=>4 [2,6,3,1,5,4,7,8]=>[7,3,6,8,4,5,2,1]=>[1,3,2,1,1]=>11001011=>4 [6,3,2,1,5,4,7,8]=>[3,6,7,8,4,5,2,1]=>[4,2,1,1]=>10001011=>4 [7,3,1,4,5,2,6,8]=>[2,6,8,5,4,7,3,1]=>[3,1,2,1,1]=>10011011=>4 [7,3,1,5,4,2,6,8]=>[2,6,8,4,5,7,3,1]=>[3,3,1,1]=>10010011=>4 [7,3,1,6,2,5,4,8]=>[2,6,8,3,7,4,5,1]=>[3,2,2,1]=>10010101=>6 [3,7,1,6,2,5,4,8]=>[6,2,8,3,7,4,5,1]=>[1,2,2,2,1]=>11010101=>6 [3,7,1,4,5,2,6,8]=>[6,2,8,5,4,7,3,1]=>[1,2,1,2,1,1]=>11011011=>4 [3,6,2,1,5,4,7,8]=>[6,3,7,8,4,5,2,1]=>[1,3,2,1,1]=>11001011=>4 [2,3,6,1,5,4,7,8]=>[7,6,3,8,4,5,2,1]=>[1,1,2,2,1,1]=>11101011=>4 [3,5,2,4,1,6,7,8]=>[6,4,7,5,8,3,2,1]=>[1,2,2,1,1,1]=>11010111=>4 [6,3,4,1,5,2,7,8]=>[3,6,5,8,4,7,2,1]=>[2,2,2,1,1]=>10101011=>6 [6,2,4,1,5,3,7,8]=>[3,7,5,8,4,6,2,1]=>[2,2,2,1,1]=>10101011=>6 [2,6,4,1,5,3,7,8]=>[7,3,5,8,4,6,2,1]=>[1,3,2,1,1]=>11001011=>4 [2,6,5,1,3,7,4,8]=>[7,3,4,8,6,2,5,1]=>[1,3,1,2,1]=>11001101=>4 [6,2,5,1,3,7,4,8]=>[3,7,4,8,6,2,5,1]=>[2,2,1,2,1]=>10101101=>6 [6,5,2,1,3,7,4,8]=>[3,4,7,8,6,2,5,1]=>[4,1,2,1]=>10001101=>4 [7,6,1,2,4,5,3,8]=>[2,3,8,7,5,4,6,1]=>[3,1,1,2,1]=>10011101=>4 [6,7,1,2,8,3,5,4]=>[3,2,8,7,1,6,4,5]=>[1,2,1,2,2]=>11011010=>5 [6,7,1,2,5,4,3,8]=>[3,2,8,7,4,5,6,1]=>[1,2,1,3,1]=>11011001=>4 [5,6,2,1,3,7,4,8]=>[4,3,7,8,6,2,5,1]=>[1,3,1,2,1]=>11001101=>4 [5,2,6,1,3,7,4,8]=>[4,7,3,8,6,2,5,1]=>[2,2,1,2,1]=>10101101=>6 [2,4,6,1,5,3,7,8]=>[7,5,3,8,4,6,2,1]=>[1,1,2,2,1,1]=>11101011=>4 [4,7,1,3,5,2,6,8]=>[5,2,8,6,4,7,3,1]=>[1,2,1,2,1,1]=>11011011=>4 [4,7,1,5,3,2,6,8]=>[5,2,8,4,6,7,3,1]=>[1,2,3,1,1]=>11010011=>4 [5,7,1,4,2,6,3,8]=>[4,2,8,5,7,3,6,1]=>[1,2,2,2,1]=>11010101=>6 [5,7,1,6,2,3,8,4]=>[4,2,8,3,7,6,1,5]=>[1,2,2,1,2]=>11010110=>5 [5,6,3,1,2,7,4,8]=>[4,3,6,8,7,2,5,1]=>[1,3,1,2,1]=>11001101=>4 [4,2,5,3,1,6,7,8]=>[5,7,4,6,8,3,2,1]=>[2,3,1,1,1]=>10100111=>4 [5,3,6,1,2,7,4,8]=>[4,6,3,8,7,2,5,1]=>[2,2,1,2,1]=>10101101=>6 [3,4,6,1,5,2,7,8]=>[6,5,3,8,4,7,2,1]=>[1,1,2,2,1,1]=>11101011=>4 [6,5,1,8,7,3,4,2]=>[3,4,8,1,2,6,5,7]=>[3,3,2]=>10010010=>5 [8,2,7,5,4,1,3,6]=>[1,7,2,4,5,8,6,3]=>[2,4,1,1]=>10100011=>4 [6,8,5,2,3,4,1,7]=>[3,1,4,7,6,5,8,2]=>[1,3,1,2,1]=>11001101=>4 [2,6,8,7,1,5,3,4]=>[7,3,1,2,8,4,6,5]=>[1,1,3,2,1]=>11100101=>4 [8,5,6,2,7,1,4,3]=>[1,4,3,7,2,8,5,6]=>[2,2,2,2]=>10101010=>7 [6,5,1,2,7,8,4,3]=>[3,4,8,7,2,1,5,6]=>[3,1,1,3]=>10011100=>3 [4,7,6,1,5,3,8,2]=>[5,2,3,8,4,6,1,7]=>[1,3,2,2]=>11001010=>5 [5,7,6,4,1,3,8,2]=>[4,2,3,5,8,6,1,7]=>[1,4,1,2]=>11000110=>3 [7,6,2,4,5,3,8,1]=>[2,3,7,5,4,6,1,8]=>[3,1,2,2]=>10011010=>5 [6,1,7,5,3,8,4,2]=>[3,8,2,4,6,1,5,7]=>[2,3,3]=>10100100=>5 [8,6,7,5,3,1,4,2]=>[1,3,2,4,6,8,5,7]=>[2,4,2]=>10100010=>5 [8,5,2,7,1,6,4,3]=>[1,4,7,2,8,3,5,6]=>[3,2,3]=>10010100=>5 [7,6,1,5,3,8,4,2]=>[2,3,8,4,6,1,5,7]=>[3,2,3]=>10010100=>5 [5,6,2,4,7,8,1,3]=>[4,3,7,5,2,1,8,6]=>[1,2,1,1,2,1]=>11011101=>4 [3,4,6,1,7,8,5,2]=>[6,5,3,8,2,1,4,7]=>[1,1,2,1,3]=>11101100=>3 [3,4,8,6,7,1,5,2]=>[6,5,1,3,2,8,4,7]=>[1,1,2,2,2]=>11101010=>5 [4,8,5,6,7,2,3,1]=>[5,1,4,3,2,7,6,8]=>[1,2,1,2,2]=>11011010=>5 [5,8,6,4,1,2,7,3]=>[4,1,3,5,8,7,2,6]=>[1,4,1,2]=>11000110=>3 [5,8,6,1,7,2,4,3]=>[4,1,3,8,2,7,5,6]=>[1,3,2,2]=>11001010=>5 [5,8,7,3,2,6,4,1]=>[4,1,2,6,7,3,5,8]=>[1,4,3]=>11000100=>3 [5,8,1,7,2,6,4,3]=>[4,1,8,2,7,3,5,6]=>[1,2,2,3]=>11010100=>5 [8,1,5,7,2,6,4,3]=>[1,8,4,2,7,3,5,6]=>[2,1,2,3]=>10110100=>5 [8,1,7,2,5,6,3,4]=>[1,8,2,7,4,3,6,5]=>[2,2,1,2,1]=>10101101=>6 [6,8,7,2,5,1,3,4]=>[3,1,2,7,4,8,6,5]=>[1,3,2,1,1]=>11001011=>4 [5,8,7,2,1,6,3,4]=>[4,1,2,7,8,3,6,5]=>[1,4,2,1]=>11000101=>4 [4,8,1,5,2,6,7,3]=>[5,1,8,4,7,3,2,6]=>[1,2,2,1,2]=>11010110=>5 [3,7,8,5,1,6,2,4]=>[6,2,1,4,8,3,7,5]=>[1,1,3,2,1]=>11100101=>4 [6,5,2,7,8,1,4,3]=>[3,4,7,2,1,8,5,6]=>[3,1,2,2]=>10011010=>5 [7,1,2,8,5,6,3,4]=>[2,8,7,1,4,3,6,5]=>[2,1,2,2,1]=>10110101=>6 [8,7,2,1,5,6,3,4]=>[1,2,7,8,4,3,6,5]=>[4,1,2,1]=>10001101=>4 [8,6,7,1,5,2,3,4]=>[1,3,2,8,4,7,6,5]=>[2,2,2,1,1]=>10101011=>6 [6,1,7,8,5,2,3,4]=>[3,8,2,1,4,7,6,5]=>[2,1,3,1,1]=>10110011=>4 [7,5,6,2,1,8,4,3]=>[2,4,3,7,8,1,5,6]=>[2,3,3]=>10100100=>5 [8,7,5,2,1,6,4,3]=>[1,2,4,7,8,3,5,6]=>[5,3]=>10000100=>3 [7,1,3,5,8,6,2,4]=>[2,8,6,4,1,3,7,5]=>[2,1,1,3,1]=>10111001=>4 [5,1,3,4,6,8,7,2]=>[4,8,6,5,3,1,2,7]=>[2,1,1,1,3]=>10111100=>3 [4,5,3,6,8,2,7,1]=>[5,4,6,3,1,7,2,8]=>[1,2,1,2,2]=>11011010=>5 [5,6,3,4,8,1,7,2]=>[4,3,6,5,1,8,2,7]=>[1,2,1,2,2]=>11011010=>5 [4,6,7,8,5,1,3,2]=>[5,3,2,1,4,8,6,7]=>[1,1,1,3,2]=>11110010=>3 [8,4,3,1,2,6,7,5]=>[1,5,6,8,7,3,2,4]=>[4,1,1,2]=>10001110=>3 [8,5,1,6,3,4,7,2]=>[1,4,8,3,6,5,2,7]=>[3,2,1,2]=>10010110=>5 [5,1,8,6,3,4,7,2]=>[4,8,1,3,6,5,2,7]=>[2,3,1,2]=>10100110=>5 [4,6,8,1,5,3,7,2]=>[5,3,1,8,4,6,2,7]=>[1,1,2,2,2]=>11101010=>5 [6,4,5,8,3,2,7,1]=>[3,5,4,1,6,7,2,8]=>[2,1,3,2]=>10110010=>5 [3,6,4,8,7,1,5,2]=>[6,3,5,1,2,8,4,7]=>[1,2,3,2]=>11010010=>5 [6,5,8,1,3,4,7,2]=>[3,4,1,8,6,5,2,7]=>[2,2,1,1,2]=>10101110=>5 [5,6,8,3,1,2,7,4]=>[4,3,1,6,8,7,2,5]=>[1,1,3,1,2]=>11100110=>3 [6,1,8,3,5,2,7,4]=>[3,8,1,6,4,7,2,5]=>[2,2,2,2]=>10101010=>7 [7,6,8,3,5,2,1,4]=>[2,3,1,6,4,7,8,5]=>[2,2,3,1]=>10101001=>6 [8,6,1,3,5,2,7,4]=>[1,3,8,6,4,7,2,5]=>[3,1,2,2]=>10011010=>5 [8,7,1,3,5,6,2,4]=>[1,2,8,6,4,3,7,5]=>[3,1,1,2,1]=>10011101=>4 [6,7,8,3,5,1,2,4]=>[3,2,1,6,4,8,7,5]=>[1,1,2,2,1,1]=>11101011=>4 [3,4,8,1,2,6,7,5]=>[6,5,1,8,7,3,2,4]=>[1,1,2,1,1,2]=>11101110=>3 [5,8,2,4,3,6,7,1]=>[4,1,7,5,6,3,2,8]=>[1,2,2,1,2]=>11010110=>5 [5,8,2,3,1,6,7,4]=>[4,1,7,6,8,3,2,5]=>[1,2,2,1,2]=>11010110=>5 [6,8,2,3,5,1,7,4]=>[3,1,7,6,4,8,2,5]=>[1,2,1,2,2]=>11011010=>5 [7,8,2,3,5,6,1,4]=>[2,1,7,6,4,3,8,5]=>[1,2,1,1,2,1]=>11011101=>4 [8,6,5,1,4,3,7,2]=>[1,3,4,8,5,6,2,7]=>[4,2,2]=>10001010=>5 [2,4,8,6,1,3,7,5]=>[7,5,1,3,8,6,2,4]=>[1,1,3,1,2]=>11100110=>3 [6,7,1,8,4,3,5,2]=>[3,2,8,1,5,6,4,7]=>[1,2,3,2]=>11010010=>5 [2,7,3,8,1,6,4,5]=>[7,2,6,1,8,3,5,4]=>[1,2,2,2,1]=>11010101=>6 [2,7,8,4,1,6,3,5]=>[7,2,1,5,8,3,6,4]=>[1,1,3,2,1]=>11100101=>4 [2,6,5,4,1,3,8,7]=>[7,3,4,5,8,6,1,2]=>[1,4,1,2]=>11000110=>3 [4,1,7,6,3,8,2,5]=>[5,8,2,3,6,1,7,4]=>[2,3,2,1]=>10100101=>6 [4,8,2,5,7,6,3,1]=>[5,1,7,4,2,3,6,8]=>[1,2,1,4]=>11011000=>3 [3,4,6,5,1,8,2,7]=>[6,5,3,4,8,1,7,2]=>[1,1,3,2,1]=>11100101=>4 [2,6,5,3,4,1,8,7]=>[7,3,4,6,5,8,1,2]=>[1,3,2,2]=>11001010=>5 [4,6,1,5,2,3,8,7]=>[5,3,8,4,7,6,1,2]=>[1,2,2,1,2]=>11010110=>5 [6,2,3,5,1,4,8,7]=>[3,7,6,4,8,5,1,2]=>[2,1,2,1,2]=>10110110=>5 [2,6,7,5,1,8,4,3]=>[7,3,2,4,8,1,5,6]=>[1,1,3,3]=>11100100=>3 [8,6,1,2,5,3,4,7]=>[1,3,8,7,4,6,5,2]=>[3,1,2,1,1]=>10011011=>4 [6,2,5,1,8,3,4,7]=>[3,7,4,8,1,6,5,2]=>[2,2,2,1,1]=>10101011=>6 [7,6,5,2,8,3,4,1]=>[2,3,4,7,1,6,5,8]=>[4,2,2]=>10001010=>5 [2,6,3,5,1,8,7,4]=>[7,3,6,4,8,1,2,5]=>[1,2,2,3]=>11010100=>5 [2,4,7,6,5,8,1,3]=>[7,5,2,3,4,1,8,6]=>[1,1,3,2,1]=>11100101=>4 [2,1,4,8,7,6,3,5]=>[7,8,5,1,2,3,6,4]=>[2,1,4,1]=>10110001=>4 [7,4,6,8,5,3,2,1]=>[2,5,3,1,4,6,7,8]=>[2,1,5]=>10110000=>3 [8,1,3,5,7,4,6,2]=>[1,8,6,4,2,5,3,7]=>[2,1,1,2,2]=>10111010=>5 [3,2,8,7,5,1,6,4]=>[6,7,1,2,4,8,3,5]=>[2,4,2]=>10100010=>5 [4,8,5,1,6,7,2,3]=>[5,1,4,8,3,2,7,6]=>[1,3,1,2,1]=>11001101=>4 [3,8,5,1,6,7,2,4]=>[6,1,4,8,3,2,7,5]=>[1,3,1,2,1]=>11001101=>4 [7,8,6,1,3,5,2,4]=>[2,1,3,8,6,4,7,5]=>[1,3,1,2,1]=>11001101=>4 [5,6,7,2,8,1,3,4]=>[4,3,2,7,1,8,6,5]=>[1,1,2,2,1,1]=>11101011=>4 [2,5,1,8,6,7,4,3]=>[7,4,8,1,3,2,5,6]=>[1,2,2,3]=>11010100=>5 [3,5,1,8,6,7,4,2]=>[6,4,8,1,3,2,5,7]=>[1,2,2,3]=>11010100=>5 [5,2,3,8,6,7,4,1]=>[4,7,6,1,3,2,5,8]=>[2,1,2,3]=>10110100=>5 [8,3,5,4,6,7,1,2]=>[1,6,4,5,3,2,8,7]=>[2,2,1,2,1]=>10101101=>6 [5,1,3,8,6,7,4,2]=>[4,8,6,1,3,2,5,7]=>[2,1,2,3]=>10110100=>5 [3,2,5,8,6,7,4,1]=>[6,7,4,1,3,2,5,8]=>[2,1,2,3]=>10110100=>5 [6,2,1,5,3,8,7,4]=>[3,7,8,4,6,1,2,5]=>[3,2,3]=>10010100=>5 [5,6,3,2,8,1,4,7]=>[4,3,6,7,1,8,5,2]=>[1,3,2,1,1]=>11001011=>4 [8,1,6,3,5,2,7,4]=>[1,8,3,6,4,7,2,5]=>[2,2,2,2]=>10101010=>7 [8,7,6,2,5,3,1,4]=>[1,2,3,7,4,6,8,5]=>[4,3,1]=>10001001=>4 [4,7,6,8,3,2,5,1]=>[5,2,3,1,6,7,4,8]=>[1,2,3,2]=>11010010=>5 [2,7,5,8,1,3,4,6]=>[7,2,4,1,8,6,5,3]=>[1,2,2,1,1,1]=>11010111=>4 [7,6,2,8,5,1,4,3]=>[2,3,7,1,4,8,5,6]=>[3,3,2]=>10010010=>5 [8,1,3,7,5,2,6,4]=>[1,8,6,2,4,7,3,5]=>[2,1,3,2]=>10110010=>5 [3,4,8,7,5,1,6,2]=>[6,5,1,2,4,8,3,7]=>[1,1,4,2]=>11100010=>3 [6,3,8,1,4,2,5,7]=>[3,6,1,8,5,7,4,2]=>[2,2,2,1,1]=>10101011=>6 [6,3,8,5,7,4,1,2]=>[3,6,1,4,2,5,8,7]=>[2,2,3,1]=>10101001=>6 [7,4,6,8,5,1,3,2]=>[2,5,3,1,4,8,6,7]=>[2,1,3,2]=>10110010=>5 [2,1,4,8,7,5,6,3]=>[7,8,5,1,2,4,3,6]=>[2,1,3,2]=>10110010=>5 [7,1,5,8,2,6,4,3]=>[2,8,4,1,7,3,5,6]=>[2,1,2,3]=>10110100=>5 [3,6,8,2,4,1,7,5]=>[6,3,1,7,5,8,2,4]=>[1,1,2,2,2]=>11101010=>5 [4,5,8,2,6,7,3,1]=>[5,4,1,7,3,2,6,8]=>[1,1,2,1,3]=>11101100=>3 [5,2,8,1,6,7,3,4]=>[4,7,1,8,3,2,6,5]=>[2,2,1,2,1]=>10101101=>6 [2,5,8,4,6,7,3,1]=>[7,4,1,5,3,2,6,8]=>[1,1,2,1,3]=>11101100=>3 [5,8,3,4,6,7,2,1]=>[4,1,6,5,3,2,7,8]=>[1,2,1,1,3]=>11011100=>3 [8,4,3,2,6,7,1,5]=>[1,5,6,7,3,2,8,4]=>[4,1,2,1]=>10001101=>4 [4,2,8,1,6,7,3,5]=>[5,7,1,8,3,2,6,4]=>[2,2,1,2,1]=>10101101=>6 [2,4,8,1,6,7,3,5]=>[7,5,1,8,3,2,6,4]=>[1,1,2,1,2,1]=>11101101=>4 [5,1,8,2,6,7,3,4]=>[4,8,1,7,3,2,6,5]=>[2,2,1,2,1]=>10101101=>6 [3,4,8,7,2,1,5,6]=>[6,5,1,2,7,8,4,3]=>[1,1,4,1,1]=>11100011=>2 [7,8,5,3,6,4,2,1]=>[2,1,4,6,3,5,7,8]=>[1,3,4]=>11001000=>3 [2,8,5,7,4,1,3,6]=>[7,1,4,2,5,8,6,3]=>[1,2,3,1,1]=>11010011=>4 [5,8,4,1,6,7,2,3]=>[4,1,5,8,3,2,7,6]=>[1,3,1,2,1]=>11001101=>4 [3,8,1,4,6,7,2,5]=>[6,1,8,5,3,2,7,4]=>[1,2,1,1,2,1]=>11011101=>4 [8,2,3,4,6,7,1,5]=>[1,7,6,5,3,2,8,4]=>[2,1,1,1,2,1]=>10111101=>4 [6,2,7,3,8,4,1,5]=>[3,7,2,6,1,5,8,4]=>[2,2,3,1]=>10101001=>6 [7,4,3,2,8,5,1,6]=>[2,5,6,7,1,4,8,3]=>[4,3,1]=>10001001=>4 [5,3,2,8,4,6,1,7]=>[4,6,7,1,5,3,8,2]=>[3,2,2,1]=>10010101=>6 [8,4,2,6,5,3,1,7]=>[1,5,7,3,4,6,8,2]=>[3,4,1]=>10010001=>4 [7,4,2,5,3,1,6,8]=>[2,5,7,4,6,8,3,1]=>[3,3,1,1]=>10010011=>4 [8,3,6,2,5,4,1,7]=>[1,6,3,7,4,5,8,2]=>[2,2,3,1]=>10101001=>6 [5,4,8,3,2,6,1,7]=>[4,5,1,6,7,3,8,2]=>[2,3,2,1]=>10100101=>6 [6,4,7,8,2,3,1,5]=>[3,5,2,1,7,6,8,4]=>[2,1,2,2,1]=>10110101=>6 [5,8,3,6,4,2,1,7]=>[4,1,6,3,5,7,8,2]=>[1,2,4,1]=>11010001=>4 [1,6,4,3,2,8,7,5]=>[8,3,5,6,7,1,2,4]=>[1,4,3]=>11000100=>3 [1,5,3,2,8,4,7,6]=>[8,4,6,7,1,5,2,3]=>[1,3,2,2]=>11001010=>5 [7,3,8,6,4,1,2,5]=>[2,6,1,3,5,8,7,4]=>[2,4,1,1]=>10100011=>4 [6,1,2,7,3,8,5,4]=>[3,8,7,2,6,1,4,5]=>[2,1,2,3]=>10110100=>5 [2,1,7,4,3,8,6,5]=>[7,8,2,5,6,1,3,4]=>[2,3,3]=>10100100=>5 [6,1,4,3,8,2,7,5]=>[3,8,5,6,1,7,2,4]=>[2,2,2,2]=>10101010=>7 [5,1,3,2,8,7,4,6]=>[4,8,6,7,1,2,5,3]=>[2,2,3,1]=>10101001=>6 [1,8,4,2,7,6,5,3]=>[8,1,5,7,2,3,4,6]=>[1,3,4]=>11001000=>3 [1,8,3,7,2,6,5,4]=>[8,1,6,2,7,3,4,5]=>[1,2,2,3]=>11010100=>5 [5,1,4,8,3,7,2,6]=>[4,8,5,1,6,2,7,3]=>[2,1,2,2,1]=>10110101=>6 [2,1,6,8,5,4,7,3]=>[7,8,3,1,4,5,2,6]=>[2,1,3,2]=>10110010=>5 [8,3,1,6,7,2,5,4]=>[1,6,8,3,2,7,4,5]=>[3,1,2,2]=>10011010=>5 [7,4,8,6,1,3,2,5]=>[2,5,1,3,8,6,7,4]=>[2,3,2,1]=>10100101=>6 [4,7,6,1,2,5,3,8]=>[5,2,3,8,7,4,6,1]=>[1,3,1,2,1]=>11001101=>4 [3,7,6,1,5,2,4,8]=>[6,2,3,8,4,7,5,1]=>[1,3,2,1,1]=>11001011=>4 [1,5,4,8,3,2,7,6]=>[8,4,5,1,6,7,2,3]=>[1,2,3,2]=>11010010=>5 [7,3,6,1,2,5,4,8]=>[2,6,3,8,7,4,5,1]=>[2,2,1,2,1]=>10101101=>6 [5,4,7,1,3,2,6,8]=>[4,5,2,8,6,7,3,1]=>[2,2,2,1,1]=>10101011=>6 [4,6,8,2,5,1,3,7]=>[5,3,1,7,4,8,6,2]=>[1,1,2,2,1,1]=>11101011=>4 [7,4,6,2,1,5,3,8]=>[2,5,3,7,8,4,6,1]=>[2,3,2,1]=>10100101=>6 [1,2,6,3,8,5,7,4]=>[8,7,3,6,1,4,2,5]=>[1,1,2,2,2]=>11101010=>5 [1,5,2,6,8,4,7,3]=>[8,4,7,3,1,5,2,6]=>[1,2,1,2,2]=>11011010=>5 [5,7,2,3,8,1,4,6]=>[4,2,7,6,1,8,5,3]=>[1,2,1,2,1,1]=>11011011=>4 [6,4,7,5,8,1,2,3]=>[3,5,2,4,1,8,7,6]=>[2,2,2,1,1]=>10101011=>6 [7,4,8,5,1,6,3,2]=>[2,5,1,4,8,3,6,7]=>[2,3,3]=>10100100=>5 [8,6,4,2,1,7,5,3]=>[1,3,5,7,8,2,4,6]=>[5,3]=>10000100=>3 [7,4,2,1,5,8,6,3]=>[2,5,7,8,4,1,3,6]=>[4,1,3]=>10001100=>3 [7,6,4,1,8,5,2,3]=>[2,3,5,8,1,4,7,6]=>[4,3,1]=>10001001=>4 [1,6,4,8,7,5,3,2]=>[8,3,5,1,2,4,6,7]=>[1,2,5]=>11010000=>3 [6,3,1,2,8,4,7,5]=>[3,6,8,7,1,5,2,4]=>[3,1,2,2]=>10011010=>5 [7,5,1,3,2,8,6,4]=>[2,4,8,6,7,1,3,5]=>[3,2,3]=>10010100=>5 [6,8,4,1,2,7,5,3]=>[3,1,5,8,7,2,4,6]=>[1,3,1,3]=>11001100=>3 [7,5,8,1,2,6,4,3]=>[2,4,1,8,7,3,5,6]=>[2,2,1,3]=>10101100=>5 [7,4,8,1,6,3,5,2]=>[2,5,1,8,3,6,4,7]=>[2,2,2,2]=>10101010=>7 [5,8,2,1,7,3,6,4]=>[4,1,7,8,2,6,3,5]=>[1,3,2,2]=>11001010=>5 [3,6,1,8,2,4,7,5]=>[6,3,8,1,7,5,2,4]=>[1,2,2,1,2]=>11010110=>5 [1,3,8,7,6,2,5,4]=>[8,6,1,2,3,7,4,5]=>[1,1,4,2]=>11100010=>3 [5,4,1,8,7,3,2,6]=>[4,5,8,1,2,6,7,3]=>[3,4,1]=>10010001=>4 [3,5,1,8,7,2,4,6]=>[6,4,8,1,2,7,5,3]=>[1,2,3,1,1]=>11010011=>4 [4,6,1,8,3,7,2,5]=>[5,3,8,1,6,2,7,4]=>[1,2,2,2,1]=>11010101=>6 [4,7,1,2,8,6,3,5]=>[5,2,8,7,1,3,6,4]=>[1,2,1,3,1]=>11011001=>4 [5,8,4,1,7,6,2,3]=>[4,1,5,8,2,3,7,6]=>[1,3,3,1]=>11001001=>4 [7,6,8,1,5,4,2,3]=>[2,3,1,8,4,5,7,6]=>[2,2,3,1]=>10101001=>6 [8,6,1,7,5,4,3,2]=>[1,3,8,2,4,5,6,7]=>[3,5]=>10010000=>3 [7,1,5,8,6,4,3,2]=>[2,8,4,1,3,5,6,7]=>[2,1,5]=>10110000=>3 [5,1,8,7,3,6,4,2]=>[4,8,1,2,6,3,5,7]=>[2,3,3]=>10100100=>5 [4,1,8,7,6,2,5,3]=>[5,8,1,2,3,7,4,6]=>[2,4,2]=>10100010=>5 [3,1,8,7,6,5,2,4]=>[6,8,1,2,3,4,7,5]=>[2,5,1]=>10100001=>4 [1,6,4,5,2,3,7,8]=>[8,3,5,4,7,6,2,1]=>[1,2,2,1,1,1]=>11010111=>4 [1,7,4,5,2,3,6,8]=>[8,2,5,4,7,6,3,1]=>[1,2,2,1,1,1]=>11010111=>4 [1,7,3,5,2,4,6,8]=>[8,2,6,4,7,5,3,1]=>[1,2,2,1,1,1]=>11010111=>4 [1,6,3,5,2,4,7,8]=>[8,3,6,4,7,5,2,1]=>[1,2,2,1,1,1]=>11010111=>4 [1,6,3,4,2,5,7,8]=>[8,3,6,5,7,4,2,1]=>[1,2,2,1,1,1]=>11010111=>4 [1,7,3,4,2,5,6,8]=>[8,2,6,5,7,4,3,1]=>[1,2,2,1,1,1]=>11010111=>4 [1,8,6,7,3,4,2,5]=>[8,1,3,2,6,5,7,4]=>[1,2,2,2,1]=>11010101=>6 [1,8,5,7,3,4,2,6]=>[8,1,4,2,6,5,7,3]=>[1,2,2,2,1]=>11010101=>6 [1,7,3,4,2,6,5,8]=>[8,2,6,5,7,3,4,1]=>[1,2,2,2,1]=>11010101=>6 [1,5,2,8,4,7,3,6]=>[8,4,7,1,5,2,6,3]=>[1,2,2,2,1]=>11010101=>6 [1,4,2,8,5,7,3,6]=>[8,5,7,1,4,2,6,3]=>[1,2,2,2,1]=>11010101=>6 [1,7,3,5,2,6,4,8]=>[8,2,6,4,7,3,5,1]=>[1,2,2,2,1]=>11010101=>6 [1,8,4,7,3,5,2,6]=>[8,1,5,2,6,4,7,3]=>[1,2,2,2,1]=>11010101=>6 [1,7,3,6,2,5,4,8]=>[8,2,6,3,7,4,5,1]=>[1,2,2,2,1]=>11010101=>6 [1,7,3,6,2,4,5,8]=>[8,2,6,3,7,5,4,1]=>[1,2,2,1,1,1]=>11010111=>4 [1,7,4,6,2,3,5,8]=>[8,2,5,3,7,6,4,1]=>[1,2,2,1,1,1]=>11010111=>4 [1,8,5,6,2,3,4,7]=>[8,1,4,3,7,6,5,2]=>[1,2,2,1,1,1]=>11010111=>4 [1,8,5,6,2,4,3,7]=>[8,1,4,3,7,5,6,2]=>[1,2,2,2,1]=>11010101=>6 [1,3,2,8,5,6,4,7]=>[8,6,7,1,4,3,5,2]=>[1,2,2,2,1]=>11010101=>6 [1,4,2,8,5,6,3,7]=>[8,5,7,1,4,3,6,2]=>[1,2,2,2,1]=>11010101=>6 [1,5,2,8,4,6,3,7]=>[8,4,7,1,5,3,6,2]=>[1,2,2,2,1]=>11010101=>6 [1,6,2,8,4,5,3,7]=>[8,3,7,1,5,4,6,2]=>[1,2,2,2,1]=>11010101=>6 [9,1,2,3,5,4,6,7,8]=>[1,9,8,7,5,6,4,3,2]=>[2,1,1,2,1,1,1]=>101110111=>4 [8,1,2,4,5,3,6,7]=>[1,8,7,5,4,6,3,2]=>[2,1,1,2,1,1]=>10111011=>4 [2,3,4,6,5,7,8,9,1]=>[8,7,6,4,5,3,2,1,9]=>[1,1,1,2,1,1,2]=>111101110=>3 [9,1,2,3,5,6,4,7,8]=>[1,9,8,7,5,4,6,3,2]=>[2,1,1,1,2,1,1]=>101111011=>4 [2,3,4,7,5,6,8,9,1]=>[8,7,6,3,5,4,2,1,9]=>[1,1,1,2,1,1,2]=>111101110=>3 [2,3,4,6,7,5,8,9,1]=>[8,7,6,4,3,5,2,1,9]=>[1,1,1,1,2,1,2]=>111110110=>3 [8,6,4,7,2,1,3,5]=>[1,3,5,2,7,8,6,4]=>[3,3,1,1]=>10010011=>4 [1,6,4,7,2,8,3,5]=>[8,3,5,2,7,1,6,4]=>[1,2,2,2,1]=>11010101=>6 [1,4,7,3,5,8,2,6]=>[8,5,2,6,4,1,7,3]=>[1,1,2,1,2,1]=>11101101=>4 [8,4,6,2,3,5,1,7]=>[1,5,3,7,6,4,8,2]=>[2,2,1,2,1]=>10101101=>6 [5,4,8,2,3,6,1,7]=>[4,5,1,7,6,3,8,2]=>[2,2,1,2,1]=>10101101=>6 [4,8,6,2,3,5,1,7]=>[5,1,3,7,6,4,8,2]=>[1,3,1,2,1]=>11001101=>4 [1,7,5,3,4,8,2,6]=>[8,2,4,6,5,1,7,3]=>[1,3,1,2,1]=>11001101=>4 [1,7,6,4,8,2,3,5]=>[8,2,3,5,1,7,6,4]=>[1,3,2,1,1]=>11001011=>4 [5,8,7,4,1,2,3,6]=>[4,1,2,5,8,7,6,3]=>[1,4,1,1,1]=>11000111=>2 [6,8,5,3,4,1,2,7]=>[3,1,4,6,5,8,7,2]=>[1,3,2,1,1]=>11001011=>4 [6,8,3,7,2,1,4,5]=>[3,1,6,2,7,8,5,4]=>[1,2,3,1,1]=>11010011=>4 [8,5,1,6,3,7,2,4]=>[1,4,8,3,6,2,7,5]=>[3,2,2,1]=>10010101=>6 [6,1,3,7,4,8,2,5]=>[3,8,6,2,5,1,7,4]=>[2,1,2,2,1]=>10110101=>6 [4,1,7,3,5,8,2,6]=>[5,8,2,6,4,1,7,3]=>[2,2,1,2,1]=>10101101=>6 [1,8,5,7,2,3,4,6]=>[8,1,4,2,7,6,5,3]=>[1,2,2,1,1,1]=>11010111=>4 [6,1,5,8,2,3,4,7]=>[3,8,4,1,7,6,5,2]=>[2,1,2,1,1,1]=>10110111=>4 [5,1,7,3,8,2,4,6]=>[4,8,2,6,1,7,5,3]=>[2,2,2,1,1]=>10101011=>6 [6,1,5,7,8,2,3,4]=>[3,8,4,2,1,7,6,5]=>[2,1,1,2,1,1]=>10111011=>4 [7,4,8,6,1,2,3,5]=>[2,5,1,3,8,7,6,4]=>[2,3,1,1,1]=>10100111=>4 [3,8,7,5,1,2,4,6]=>[6,1,2,4,8,7,5,3]=>[1,4,1,1,1]=>11000111=>2 [3,7,6,1,2,4,5,8]=>[6,2,3,8,7,5,4,1]=>[1,3,1,1,1,1]=>11001111=>2 [4,7,6,1,2,3,5,8]=>[5,2,3,8,7,6,4,1]=>[1,3,1,1,1,1]=>11001111=>2 [1,6,5,8,2,3,4,7]=>[8,3,4,1,7,6,5,2]=>[1,2,2,1,1,1]=>11010111=>4 [6,5,8,4,1,2,3,7]=>[3,4,1,5,8,7,6,2]=>[2,3,1,1,1]=>10100111=>4 [8,5,7,4,1,2,3,6]=>[1,4,2,5,8,7,6,3]=>[2,3,1,1,1]=>10100111=>4 [1,5,7,4,8,2,3,6]=>[8,4,2,5,1,7,6,3]=>[1,1,2,2,1,1]=>11101011=>4 [7,6,4,8,2,1,3,5]=>[2,3,5,1,7,8,6,4]=>[3,3,1,1]=>10010011=>4 [7,6,2,3,8,1,4,5]=>[2,3,7,6,1,8,5,4]=>[3,1,2,1,1]=>10011011=>4 [7,4,8,5,1,6,2,3]=>[2,5,1,4,8,3,7,6]=>[2,3,2,1]=>10100101=>6 [8,6,2,3,1,7,4,5]=>[1,3,7,6,8,2,5,4]=>[3,2,2,1]=>10010101=>6 [8,6,4,1,2,7,3,5]=>[1,3,5,8,7,2,6,4]=>[4,1,2,1]=>10001101=>4 [1,7,2,8,6,3,4,5]=>[8,2,7,1,3,6,5,4]=>[1,2,3,1,1]=>11010011=>4 [7,6,1,3,8,2,4,5]=>[2,3,8,6,1,7,5,4]=>[3,1,2,1,1]=>10011011=>4 [7,5,8,1,3,6,2,4]=>[2,4,1,8,6,3,7,5]=>[2,2,1,2,1]=>10101101=>6 [5,4,1,8,2,3,6,7]=>[4,5,8,1,7,6,3,2]=>[3,2,1,1,1]=>10010111=>4 [1,4,8,7,2,3,5,6]=>[8,5,1,2,7,6,4,3]=>[1,1,3,1,1,1]=>11100111=>2 [1,5,8,7,2,3,4,6]=>[8,4,1,2,7,6,5,3]=>[1,1,3,1,1,1]=>11100111=>2 [6,5,1,8,2,3,4,7]=>[3,4,8,1,7,6,5,2]=>[3,2,1,1,1]=>10010111=>4 [5,7,1,3,8,2,4,6]=>[4,2,8,6,1,7,5,3]=>[1,2,1,2,1,1]=>11011011=>4 [7,6,8,1,5,2,3,4]=>[2,3,1,8,4,7,6,5]=>[2,2,2,1,1]=>10101011=>6 [7,1,5,8,6,2,3,4]=>[2,8,4,1,3,7,6,5]=>[2,1,3,1,1]=>10110011=>4 [6,1,8,2,7,3,4,5]=>[3,8,1,7,2,6,5,4]=>[2,2,2,1,1]=>10101011=>6 [4,1,8,7,2,3,5,6]=>[5,8,1,2,7,6,4,3]=>[2,3,1,1,1]=>10100111=>4 [5,1,8,7,2,3,4,6]=>[4,8,1,2,7,6,5,3]=>[2,3,1,1,1]=>10100111=>4 [1,8,7,6,4,5,3,2]=>[8,1,2,3,5,4,6,7]=>[1,4,3]=>11000100=>3 [1,8,7,3,6,5,4,2]=>[8,1,2,6,3,4,5,7]=>[1,3,4]=>11001000=>3 [7,1,5,8,3,4,2,6]=>[2,8,4,1,6,5,7,3]=>[2,1,2,2,1]=>10110101=>6 [7,1,4,3,2,5,6,8]=>[2,8,5,6,7,4,3,1]=>[2,3,1,1,1]=>10100111=>4 [6,4,2,3,8,5,7,1]=>[3,5,7,6,1,4,2,8]=>[3,1,2,2]=>10011010=>5 [6,4,2,7,5,8,3,1]=>[3,5,7,2,4,1,6,8]=>[3,2,3]=>10010100=>5 [2,4,1,7,5,8,3,6]=>[7,5,8,2,4,1,6,3]=>[1,2,2,2,1]=>11010101=>6 [7,1,4,6,5,2,3,8]=>[2,8,5,3,4,7,6,1]=>[2,1,3,1,1]=>10110011=>4 [7,1,4,6,5,8,2,3]=>[2,8,5,3,4,1,7,6]=>[2,1,2,2,1]=>10110101=>6 [7,1,4,6,3,8,2,5]=>[2,8,5,3,6,1,7,4]=>[2,1,2,2,1]=>10110101=>6 [7,1,4,3,2,5,8,6]=>[2,8,5,6,7,4,1,3]=>[2,3,1,2]=>10100110=>5 [7,1,4,6,5,2,8,3]=>[2,8,5,3,4,7,1,6]=>[2,1,3,2]=>10110010=>5 [7,1,4,6,5,3,8,2]=>[2,8,5,3,4,6,1,7]=>[2,1,3,2]=>10110010=>5 [7,1,4,6,5,3,2,8]=>[2,8,5,3,4,6,7,1]=>[2,1,4,1]=>10110001=>4 [6,4,2,7,5,3,8,1]=>[3,5,7,2,4,6,1,8]=>[3,3,2]=>10010010=>5 [3,4,7,2,6,8,5,1]=>[6,5,2,7,3,1,4,8]=>[1,1,2,1,3]=>11101100=>3 [3,4,7,1,6,8,2,5]=>[6,5,2,8,3,1,7,4]=>[1,1,2,1,2,1]=>11101101=>4 [3,4,7,1,6,8,5,2]=>[6,5,2,8,3,1,4,7]=>[1,1,2,1,3]=>11101100=>3 [2,4,1,7,5,3,6,8]=>[7,5,8,2,4,6,3,1]=>[1,2,3,1,1]=>11010011=>4 [3,4,1,7,8,6,2,5]=>[6,5,8,2,1,3,7,4]=>[1,2,1,3,1]=>11011001=>4 [6,4,2,3,8,5,1,7]=>[3,5,7,6,1,4,8,2]=>[3,1,3,1]=>10011001=>4 [6,4,2,7,5,8,1,3]=>[3,5,7,2,4,1,8,6]=>[3,2,2,1]=>10010101=>6 [6,4,2,7,5,3,1,8]=>[3,5,7,2,4,6,8,1]=>[3,4,1]=>10010001=>4 [3,4,7,2,6,8,1,5]=>[6,5,2,7,3,1,8,4]=>[1,1,2,1,2,1]=>11101101=>4 [5,4,7,3,6,8,2,1]=>[4,5,2,6,3,1,7,8]=>[2,2,1,3]=>10101100=>5 [3,4,7,2,6,5,1,8]=>[6,5,2,7,3,4,8,1]=>[1,1,2,3,1]=>11101001=>4 [4,8,3,2,5,6,1,7]=>[5,1,6,7,4,3,8,2]=>[1,3,1,2,1]=>11001101=>4 [4,8,7,3,5,1,2,6]=>[5,1,2,6,4,8,7,3]=>[1,3,2,1,1]=>11001011=>4 [4,8,7,1,3,5,2,6]=>[5,1,2,8,6,4,7,3]=>[1,3,1,2,1]=>11001101=>4 [4,8,3,1,2,6,5,7]=>[5,1,6,8,7,3,4,2]=>[1,3,1,2,1]=>11001101=>4 [3,4,7,1,6,2,5,8]=>[6,5,2,8,3,7,4,1]=>[1,1,2,2,1,1]=>11101011=>4 [3,4,7,1,6,2,8,5]=>[6,5,2,8,3,7,1,4]=>[1,1,2,2,2]=>11101010=>5 [3,4,7,2,6,5,8,1]=>[6,5,2,7,3,4,1,8]=>[1,1,2,2,2]=>11101010=>5 [4,8,3,1,2,6,7,5]=>[5,1,6,8,7,3,2,4]=>[1,3,1,1,2]=>11001110=>3 [5,8,1,6,3,4,2,7]=>[4,1,8,3,6,5,7,2]=>[1,2,2,2,1]=>11010101=>6 [6,8,5,1,3,4,7,2]=>[3,1,4,8,6,5,2,7]=>[1,3,1,1,2]=>11001110=>3 [5,8,3,4,2,6,7,1]=>[4,1,6,5,7,3,2,8]=>[1,2,2,1,2]=>11010110=>5 [5,4,7,3,6,2,8,1]=>[4,5,2,6,3,7,1,8]=>[2,2,2,2]=>10101010=>7 [5,4,7,2,6,1,8,3]=>[4,5,2,7,3,8,1,6]=>[2,2,2,2]=>10101010=>7 [6,4,3,7,5,1,2,8]=>[3,5,6,2,4,8,7,1]=>[3,3,1,1]=>10010011=>4 [6,4,3,7,5,1,8,2]=>[3,5,6,2,4,8,1,7]=>[3,3,2]=>10010010=>5 [6,2,4,3,1,5,8,7]=>[3,7,5,6,8,4,1,2]=>[2,3,1,2]=>10100110=>5 [3,8,7,4,1,5,2,6]=>[6,1,2,5,8,4,7,3]=>[1,4,2,1]=>11000101=>4 [2,4,7,3,6,1,5,8]=>[7,5,2,6,3,8,4,1]=>[1,1,2,2,1,1]=>11101011=>4 [5,8,3,2,1,6,4,7]=>[4,1,6,7,8,3,5,2]=>[1,4,2,1]=>11000101=>4 [5,8,7,4,3,1,2,6]=>[4,1,2,5,6,8,7,3]=>[1,5,1,1]=>11000011=>2 [5,4,7,3,6,2,1,8]=>[4,5,2,6,3,7,8,1]=>[2,2,3,1]=>10101001=>6 [7,3,8,2,1,6,5,4]=>[2,6,1,7,8,3,4,5]=>[2,3,3]=>10100100=>5 [7,4,3,8,5,2,1,6]=>[2,5,6,1,4,7,8,3]=>[3,4,1]=>10010001=>4 [6,5,2,8,4,3,1,7]=>[3,4,7,1,5,6,8,2]=>[3,4,1]=>10010001=>4 [4,3,2,8,6,5,1,7]=>[5,6,7,1,3,4,8,2]=>[3,4,1]=>10010001=>4 [4,3,8,7,5,1,6,2]=>[5,6,1,2,4,8,3,7]=>[2,4,2]=>10100010=>5 [8,4,3,7,5,2,6,1]=>[1,5,6,2,4,7,3,8]=>[3,3,2]=>10010010=>5 [4,3,7,8,5,1,2,6]=>[5,6,2,1,4,8,7,3]=>[2,1,3,1,1]=>10110011=>4 [5,3,7,8,4,1,2,6]=>[4,6,2,1,5,8,7,3]=>[2,1,3,1,1]=>10110011=>4 [6,2,5,8,3,1,4,7]=>[3,7,4,1,6,8,5,2]=>[2,1,3,1,1]=>10110011=>4 [6,2,4,8,3,1,5,7]=>[3,7,5,1,6,8,4,2]=>[2,1,3,1,1]=>10110011=>4 [5,2,3,8,4,1,6,7]=>[4,7,6,1,5,8,3,2]=>[2,1,3,1,1]=>10110011=>4 [5,3,8,7,4,1,6,2]=>[4,6,1,2,5,8,3,7]=>[2,4,2]=>10100010=>5 [5,3,2,8,6,4,1,7]=>[4,6,7,1,3,5,8,2]=>[3,4,1]=>10010001=>4 [7,5,3,8,4,2,1,6]=>[2,4,6,1,5,7,8,3]=>[3,4,1]=>10010001=>4 [8,7,5,3,6,2,4,1]=>[1,2,4,6,3,7,5,8]=>[4,2,2]=>10001010=>5 [8,6,5,3,7,2,4,1]=>[1,3,4,6,2,7,5,8]=>[4,2,2]=>10001010=>5 [7,5,4,3,8,2,6,1]=>[2,4,5,6,1,7,3,8]=>[4,2,2]=>10001010=>5 [6,4,5,3,8,2,7,1]=>[3,5,4,6,1,7,2,8]=>[2,2,2,2]=>10101010=>7 [7,4,6,3,8,2,5,1]=>[2,5,3,6,1,7,4,8]=>[2,2,2,2]=>10101010=>7 [7,5,6,3,8,2,4,1]=>[2,4,3,6,1,7,5,8]=>[2,2,2,2]=>10101010=>7 [8,5,6,3,7,2,4,1]=>[1,4,3,6,2,7,5,8]=>[2,2,2,2]=>10101010=>7 [7,4,6,3,5,2,8,1]=>[2,5,3,6,4,7,1,8]=>[2,2,2,2]=>10101010=>7 [8,4,6,3,5,2,7,1]=>[1,5,3,6,4,7,2,8]=>[2,2,2,2]=>10101010=>7 [8,4,7,3,5,2,6,1]=>[1,5,2,6,4,7,3,8]=>[2,2,2,2]=>10101010=>7 [8,5,7,3,4,2,6,1]=>[1,4,2,6,5,7,3,8]=>[2,2,2,2]=>10101010=>7 [7,5,8,4,3,2,6,1]=>[2,4,1,5,6,7,3,8]=>[2,4,2]=>10100010=>5 [6,5,8,4,3,2,7,1]=>[3,4,1,5,6,7,2,8]=>[2,4,2]=>10100010=>5 [6,5,8,3,4,2,7,1]=>[3,4,1,6,5,7,2,8]=>[2,2,2,2]=>10101010=>7 [7,5,8,3,4,2,6,1]=>[2,4,1,6,5,7,3,8]=>[2,2,2,2]=>10101010=>7 [7,5,8,4,6,2,3,1]=>[2,4,1,5,3,7,6,8]=>[2,2,2,2]=>10101010=>7 [7,4,8,3,6,2,5,1]=>[2,5,1,6,3,7,4,8]=>[2,2,2,2]=>10101010=>7 [7,4,8,3,5,2,6,1]=>[2,5,1,6,4,7,3,8]=>[2,2,2,2]=>10101010=>7 [6,4,8,3,5,2,7,1]=>[3,5,1,6,4,7,2,8]=>[2,2,2,2]=>10101010=>7 [6,4,7,3,5,2,8,1]=>[3,5,2,6,4,7,1,8]=>[2,2,2,2]=>10101010=>7 [5,4,8,3,7,2,6,1]=>[4,5,1,6,2,7,3,8]=>[2,2,2,2]=>10101010=>7 [6,5,8,3,7,2,4,1]=>[3,4,1,6,2,7,5,8]=>[2,2,2,2]=>10101010=>7 [6,5,8,4,7,2,3,1]=>[3,4,1,5,2,7,6,8]=>[2,2,2,2]=>10101010=>7 [6,5,8,4,7,3,2,1]=>[3,4,1,5,2,6,7,8]=>[2,2,4]=>10101000=>5 [6,4,7,3,8,2,5,1]=>[3,5,2,6,1,7,4,8]=>[2,2,2,2]=>10101010=>7 [5,4,7,3,8,2,6,1]=>[4,5,2,6,1,7,3,8]=>[2,2,2,2]=>10101010=>7 [5,4,6,3,8,2,7,1]=>[4,5,3,6,1,7,2,8]=>[2,2,2,2]=>10101010=>7 [5,3,6,2,4,7,8,1]=>[4,6,3,7,5,2,1,8]=>[2,2,1,1,2]=>10101110=>5 [5,3,6,1,4,8,7,2]=>[4,6,3,8,5,1,2,7]=>[2,2,1,3]=>10101100=>5 [5,3,7,2,4,6,8,1]=>[4,6,2,7,5,3,1,8]=>[2,2,1,1,2]=>10101110=>5 [4,3,1,5,6,8,7,2]=>[5,6,8,4,3,1,2,7]=>[3,1,1,3]=>10011100=>3 [4,2,1,5,8,6,3,7]=>[5,7,8,4,1,3,6,2]=>[3,1,3,1]=>10011001=>4 [4,2,1,5,8,6,7,3]=>[5,7,8,4,1,3,2,6]=>[3,1,2,2]=>10011010=>5 [4,2,1,5,8,7,6,3]=>[5,7,8,4,1,2,3,6]=>[3,1,4]=>10011000=>3 [4,3,1,5,7,8,6,2]=>[5,6,8,4,2,1,3,7]=>[3,1,1,3]=>10011100=>3 [4,3,1,7,5,8,6,2]=>[5,6,8,2,4,1,3,7]=>[3,2,3]=>10010100=>5 [6,7,3,1,4,8,2,5]=>[3,2,6,8,5,1,7,4]=>[1,3,1,2,1]=>11001101=>4 [5,3,7,1,4,8,2,6]=>[4,6,2,8,5,1,7,3]=>[2,2,1,2,1]=>10101101=>6 [4,3,1,5,7,8,2,6]=>[5,6,8,4,2,1,7,3]=>[3,1,1,2,1]=>10011101=>4 [3,2,1,8,5,4,6,7]=>[6,7,8,1,4,5,3,2]=>[3,3,1,1]=>10010011=>4 [3,2,1,8,5,7,4,6]=>[6,7,8,1,4,2,5,3]=>[3,2,2,1]=>10010101=>6 [3,2,1,8,7,5,4,6]=>[6,7,8,1,2,4,5,3]=>[3,4,1]=>10010001=>4 [5,2,7,1,8,4,3,6]=>[4,7,2,8,1,5,6,3]=>[2,2,3,1]=>10101001=>6 [6,7,2,1,8,4,3,5]=>[3,2,7,8,1,5,6,4]=>[1,3,3,1]=>11001001=>4 [6,7,2,1,8,4,5,3]=>[3,2,7,8,1,5,4,6]=>[1,3,2,2]=>11001010=>5 [3,2,1,8,5,6,4,7]=>[6,7,8,1,4,3,5,2]=>[3,2,2,1]=>10010101=>6 [3,2,1,8,6,5,4,7]=>[6,7,8,1,3,4,5,2]=>[3,4,1]=>10010001=>4 [4,3,1,6,7,8,5,2]=>[5,6,8,3,2,1,4,7]=>[3,1,1,3]=>10011100=>3 [4,2,1,6,8,7,5,3]=>[5,7,8,3,1,2,4,6]=>[3,1,4]=>10011000=>3 [4,2,1,6,8,5,3,7]=>[5,7,8,3,1,4,6,2]=>[3,1,3,1]=>10011001=>4 [5,2,6,1,8,7,4,3]=>[4,7,3,8,1,2,5,6]=>[2,2,4]=>10101000=>5 [5,2,6,1,8,7,3,4]=>[4,7,3,8,1,2,6,5]=>[2,2,3,1]=>10101001=>6 [5,2,6,1,8,3,4,7]=>[4,7,3,8,1,6,5,2]=>[2,2,2,1,1]=>10101011=>6 [4,2,1,6,8,3,7,5]=>[5,7,8,3,1,6,2,4]=>[3,1,2,2]=>10011010=>5 [4,3,1,6,7,8,2,5]=>[5,6,8,3,2,1,7,4]=>[3,1,1,2,1]=>10011101=>4 [6,7,3,1,5,8,2,4]=>[3,2,6,8,4,1,7,5]=>[1,3,1,2,1]=>11001101=>4 [4,2,1,7,8,6,3,5]=>[5,7,8,2,1,3,6,4]=>[3,1,3,1]=>10011001=>4 [3,2,1,8,7,6,4,5]=>[6,7,8,1,2,3,5,4]=>[3,4,1]=>10010001=>4 [3,2,1,8,6,4,7,5]=>[6,7,8,1,3,5,2,4]=>[3,3,2]=>10010010=>5 [3,2,1,8,6,4,5,7]=>[6,7,8,1,3,5,4,2]=>[3,3,1,1]=>10010011=>4 [3,2,1,8,4,6,5,7]=>[6,7,8,1,5,3,4,2]=>[3,2,2,1]=>10010101=>6 [3,2,1,8,4,6,7,5]=>[6,7,8,1,5,3,2,4]=>[3,2,1,2]=>10010110=>5 [3,2,1,8,4,7,6,5]=>[6,7,8,1,5,2,3,4]=>[3,2,3]=>10010100=>5 [3,2,1,8,7,4,6,5]=>[6,7,8,1,2,5,3,4]=>[3,3,2]=>10010010=>5 [4,2,1,7,8,3,6,5]=>[5,7,8,2,1,6,3,4]=>[3,1,2,2]=>10011010=>5 [5,2,7,1,8,3,6,4]=>[4,7,2,8,1,6,3,5]=>[2,2,2,2]=>10101010=>7 [6,7,2,1,8,3,5,4]=>[3,2,7,8,1,6,4,5]=>[1,3,2,2]=>11001010=>5 [5,2,7,1,8,3,4,6]=>[4,7,2,8,1,6,5,3]=>[2,2,2,1,1]=>10101011=>6 [4,2,1,7,8,3,5,6]=>[5,7,8,2,1,6,4,3]=>[3,1,2,1,1]=>10011011=>4 [3,2,1,8,4,5,7,6]=>[6,7,8,1,5,4,2,3]=>[3,2,1,2]=>10010110=>5 [7,5,2,8,6,3,4,1]=>[2,4,7,1,3,6,5,8]=>[3,3,2]=>10010010=>5 [7,4,8,6,2,5,3,1]=>[2,5,1,3,7,4,6,8]=>[2,3,3]=>10100100=>5 [7,3,8,6,2,4,5,1]=>[2,6,1,3,7,5,4,8]=>[2,3,1,2]=>10100110=>5 [7,4,3,1,8,2,5,6]=>[2,5,6,8,1,7,4,3]=>[4,2,1,1]=>10001011=>4 [7,4,2,8,5,6,1,3]=>[2,5,7,1,4,3,8,6]=>[3,2,2,1]=>10010101=>6 [7,3,8,5,2,4,6,1]=>[2,6,1,4,7,5,3,8]=>[2,3,1,2]=>10100110=>5 [7,3,8,4,5,6,2,1]=>[2,6,1,5,4,3,7,8]=>[2,2,1,3]=>10101100=>5 [6,3,8,2,4,5,1,7]=>[3,6,1,7,5,4,8,2]=>[2,2,1,2,1]=>10101101=>6 [6,3,8,2,5,7,4,1]=>[3,6,1,7,4,2,5,8]=>[2,2,1,3]=>10101100=>5 [6,4,3,8,1,5,2,7]=>[3,5,6,1,8,4,7,2]=>[3,2,2,1]=>10010101=>6 [6,3,7,8,2,4,1,5]=>[3,6,2,1,7,5,8,4]=>[2,1,2,2,1]=>10110101=>6 [5,6,7,3,8,2,4,1]=>[4,3,2,6,1,7,5,8]=>[1,1,2,2,2]=>11101010=>5 [5,4,7,2,6,8,1,3]=>[4,5,2,7,3,1,8,6]=>[2,2,1,2,1]=>10101101=>6 [5,3,8,2,4,6,7,1]=>[4,6,1,7,5,3,2,8]=>[2,2,1,1,2]=>10101110=>5 [6,3,8,2,4,7,5,1]=>[3,6,1,7,5,2,4,8]=>[2,2,1,3]=>10101100=>5 [6,4,8,2,7,5,1,3]=>[3,5,1,7,2,4,8,6]=>[2,2,3,1]=>10101001=>6 [6,5,3,1,4,2,7,8]=>[3,4,6,8,5,7,2,1]=>[4,2,1,1]=>10001011=>4 [5,7,4,2,6,1,3,8]=>[4,2,5,7,3,8,6,1]=>[1,3,2,1,1]=>11001011=>4 [5,6,4,2,3,8,1,7]=>[4,3,5,7,6,1,8,2]=>[1,3,1,2,1]=>11001101=>4 [5,6,3,7,8,2,4,1]=>[4,3,6,2,1,7,5,8]=>[1,2,1,2,2]=>11011010=>5 [5,6,3,8,2,4,7,1]=>[4,3,6,1,7,5,2,8]=>[1,2,2,1,2]=>11010110=>5 [6,3,7,2,4,5,1,8]=>[3,6,2,7,5,4,8,1]=>[2,2,1,2,1]=>10101101=>6 [6,3,7,2,5,8,4,1]=>[3,6,2,7,4,1,5,8]=>[2,2,1,3]=>10101100=>5 [5,3,6,8,2,4,7,1]=>[4,6,3,1,7,5,2,8]=>[2,1,2,1,2]=>10110110=>5 [5,4,6,2,3,8,1,7]=>[4,5,3,7,6,1,8,2]=>[2,2,1,2,1]=>10101101=>6 [5,3,6,7,8,2,4,1]=>[4,6,3,2,1,7,5,8]=>[2,1,1,2,2]=>10111010=>5 [3,6,4,2,1,5,8,7]=>[6,3,5,7,8,4,1,2]=>[1,4,1,2]=>11000110=>3 [3,5,8,6,4,2,1,7]=>[6,4,1,3,5,7,8,2]=>[1,1,5,1]=>11100001=>2 [5,8,6,3,4,2,1,7]=>[4,1,3,6,5,7,8,2]=>[1,3,3,1]=>11001001=>4 [5,6,3,4,2,1,8,7]=>[4,3,6,5,7,8,1,2]=>[1,2,3,2]=>11010010=>5 [6,3,4,2,1,5,8,7]=>[3,6,5,7,8,4,1,2]=>[2,3,1,2]=>10100110=>5 [5,6,4,2,1,3,8,7]=>[4,3,5,7,8,6,1,2]=>[1,4,1,2]=>11000110=>3 [2,5,4,1,7,8,6,3]=>[7,4,5,8,2,1,3,6]=>[1,3,1,3]=>11001100=>3 [2,7,8,5,4,1,6,3]=>[7,2,1,4,5,8,3,6]=>[1,1,4,2]=>11100010=>3 [2,8,5,4,1,6,3,7]=>[7,1,4,5,8,3,6,2]=>[1,4,2,1]=>11000101=>4 [2,6,3,8,5,4,1,7]=>[7,3,6,1,4,5,8,2]=>[1,2,4,1]=>11010001=>4 [2,8,6,3,5,4,1,7]=>[7,1,3,6,4,5,8,2]=>[1,3,3,1]=>11001001=>4 [5,8,6,4,2,1,3,7]=>[4,1,3,5,7,8,6,2]=>[1,5,1,1]=>11000011=>2 [4,2,1,5,7,8,6,3]=>[5,7,8,4,2,1,3,6]=>[3,1,1,3]=>10011100=>3 [2,7,8,6,3,5,4,1]=>[7,2,1,3,6,4,5,8]=>[1,1,3,3]=>11100100=>3 [4,3,8,5,7,6,2,1]=>[5,6,1,4,2,3,7,8]=>[2,2,4]=>10101000=>5 [7,6,2,1,8,4,3,5]=>[2,3,7,8,1,5,6,4]=>[4,3,1]=>10001001=>4 [2,1,8,5,6,4,3,7]=>[7,8,1,4,3,5,6,2]=>[2,2,3,1]=>10101001=>6 [4,2,1,8,5,6,3,7]=>[5,7,8,1,4,3,6,2]=>[3,2,2,1]=>10010101=>6 [8,4,2,1,5,6,3,7]=>[1,5,7,8,4,3,6,2]=>[4,1,2,1]=>10001101=>4 [2,5,6,3,8,4,1,7]=>[7,4,3,6,1,5,8,2]=>[1,1,2,3,1]=>11101001=>4 [6,3,4,2,1,8,5,7]=>[3,6,5,7,8,1,4,2]=>[2,3,2,1]=>10100101=>6 [3,7,8,5,6,4,2,1]=>[6,2,1,4,3,5,7,8]=>[1,1,2,4]=>11101000=>3 [3,8,5,6,4,2,1,7]=>[6,1,4,3,5,7,8,2]=>[1,2,4,1]=>11010001=>4 [3,6,4,2,1,8,5,7]=>[6,3,5,7,8,1,4,2]=>[1,4,2,1]=>11000101=>4 [3,8,6,4,2,1,5,7]=>[6,1,3,5,7,8,4,2]=>[1,5,1,1]=>11000011=>2 [3,7,8,6,4,2,1,5]=>[6,2,1,3,5,7,8,4]=>[1,1,5,1]=>11100001=>2 [8,5,3,7,6,2,4,1]=>[1,4,6,2,3,7,5,8]=>[3,3,2]=>10010010=>5 [7,6,2,4,1,8,5,3]=>[2,3,7,5,8,1,4,6]=>[3,2,3]=>10010100=>5 [8,5,4,1,7,6,2,3]=>[1,4,5,8,2,3,7,6]=>[4,3,1]=>10001001=>4 [7,6,2,3,8,5,4,1]=>[2,3,7,6,1,4,5,8]=>[3,1,4]=>10011000=>3 [2,1,7,8,6,4,3,5]=>[7,8,2,1,3,5,6,4]=>[2,1,4,1]=>10110001=>4 [2,1,6,4,3,7,8,5]=>[7,8,3,5,6,2,1,4]=>[2,3,1,2]=>10100110=>5 [6,4,2,1,3,7,8,5]=>[3,5,7,8,6,2,1,4]=>[4,1,1,2]=>10001110=>3 [6,3,7,8,4,2,1,5]=>[3,6,2,1,5,7,8,4]=>[2,1,4,1]=>10110001=>4 [7,8,4,2,1,6,3,5]=>[2,1,5,7,8,3,6,4]=>[1,4,2,1]=>11000101=>4 [5,7,6,2,3,8,4,1]=>[4,2,3,7,6,1,5,8]=>[1,3,1,3]=>11001100=>3 [2,6,1,8,4,3,7,5]=>[7,3,8,1,5,6,2,4]=>[1,2,3,2]=>11010010=>5 [2,6,1,7,5,8,4,3]=>[7,3,8,2,4,1,5,6]=>[1,2,2,3]=>11010100=>5 [8,4,2,3,7,5,6,1]=>[1,5,7,6,2,4,3,8]=>[3,1,2,2]=>10011010=>5 [8,5,7,6,2,1,4,3]=>[1,4,2,3,7,8,5,6]=>[2,4,2]=>10100010=>5 [4,8,5,7,6,2,1,3]=>[5,1,4,2,3,7,8,6]=>[1,2,4,1]=>11010001=>4 [4,7,6,2,1,3,8,5]=>[5,2,3,7,8,6,1,4]=>[1,4,1,2]=>11000110=>3 [7,5,6,1,8,4,2,3]=>[2,4,3,8,1,5,7,6]=>[2,2,3,1]=>10101001=>6 [2,7,5,8,4,3,6,1]=>[7,2,4,1,5,6,3,8]=>[1,2,3,2]=>11010010=>5 [2,8,4,3,6,1,7,5]=>[7,1,5,6,3,8,2,4]=>[1,3,2,2]=>11001010=>5 [6,4,7,8,3,2,1,5]=>[3,5,2,1,6,7,8,4]=>[2,1,4,1]=>10110001=>4 [7,6,5,4,9,3,2,1,8]=>[3,4,5,6,1,7,8,9,2]=>[4,4,1]=>100010001=>4 [7,6,5,4,3,2,8,1,9]=>[3,4,5,6,7,8,2,9,1]=>[6,2,1]=>100000101=>4 [6,9,8,5,4,3,2,1,7]=>[4,1,2,5,6,7,8,9,3]=>[1,7,1]=>110000001=>2 [6,4,3,7,5,2,1,8]=>[3,5,6,2,4,7,8,1]=>[3,4,1]=>10010001=>4 [6,5,3,2,8,4,1,7]=>[3,4,6,7,1,5,8,2]=>[4,3,1]=>10001001=>4 [6,5,2,7,8,4,1,3]=>[3,4,7,2,1,5,8,6]=>[3,1,3,1]=>10011001=>4 [7,6,5,4,3,1,8,9,2]=>[3,4,5,6,7,9,2,1,8]=>[6,1,2]=>100000110=>3 [5,9,8,7,4,3,2,1,6]=>[5,1,2,3,6,7,8,9,4]=>[1,7,1]=>110000001=>2 [6,4,3,2,5,8,1,7]=>[3,5,6,7,4,1,8,2]=>[4,1,2,1]=>10001101=>4 [6,3,7,2,5,4,1,8]=>[3,6,2,7,4,5,8,1]=>[2,2,3,1]=>10101001=>6 [6,3,2,7,5,4,1,8]=>[3,6,7,2,4,5,8,1]=>[3,4,1]=>10010001=>4 [8,4,2,6,3,1,7,5]=>[1,5,7,3,6,8,2,4]=>[3,3,2]=>10010010=>5 [1,5,3,7,4,2,8,6]=>[8,4,6,2,5,7,1,3]=>[1,2,3,2]=>11010010=>5 [1,6,7,3,4,2,8,5]=>[8,3,2,6,5,7,1,4]=>[1,1,2,2,2]=>11101010=>5 [8,6,5,2,3,1,7,4]=>[1,3,4,7,6,8,2,5]=>[4,2,2]=>10001010=>5 [1,7,6,3,4,2,8,5]=>[8,2,3,6,5,7,1,4]=>[1,3,2,2]=>11001010=>5 [1,8,6,3,2,5,7,4]=>[8,1,3,6,7,4,2,5]=>[1,4,1,2]=>11000110=>3 [8,7,5,2,1,4,6,3]=>[1,2,4,7,8,5,3,6]=>[5,1,2]=>10000110=>3 [7,8,5,2,1,4,6,3]=>[2,1,4,7,8,5,3,6]=>[1,4,1,2]=>11000110=>3 [6,8,5,2,3,1,7,4]=>[3,1,4,7,6,8,2,5]=>[1,3,2,2]=>11001010=>5 [5,8,6,2,3,1,7,4]=>[4,1,3,7,6,8,2,5]=>[1,3,2,2]=>11001010=>5 [4,8,2,6,3,1,7,5]=>[5,1,7,3,6,8,2,4]=>[1,2,3,2]=>11010010=>5 [3,2,8,6,4,1,7,5]=>[6,7,1,3,5,8,2,4]=>[2,4,2]=>10100010=>5 [3,2,1,7,5,4,8,6]=>[6,7,8,2,4,5,1,3]=>[3,3,2]=>10010010=>5 [4,1,3,7,5,2,8,6]=>[5,8,6,2,4,7,1,3]=>[2,1,3,2]=>10110010=>5 [5,1,7,3,4,2,8,6]=>[4,8,2,6,5,7,1,3]=>[2,2,2,2]=>10101010=>7 [7,1,6,3,2,5,8,4]=>[2,8,3,6,7,4,1,5]=>[2,3,1,2]=>10100110=>5 [1,2,7,4,3,6,8,5]=>[8,7,2,5,6,3,1,4]=>[1,1,3,1,2]=>11100110=>3 [6,1,8,2,4,5,7,3]=>[3,8,1,7,5,4,2,6]=>[2,2,1,1,2]=>10101110=>5 [5,1,8,3,2,6,7,4]=>[4,8,1,6,7,3,2,5]=>[2,3,1,2]=>10100110=>5 [3,2,8,7,1,5,6,4]=>[6,7,1,2,8,4,3,5]=>[2,3,1,2]=>10100110=>5 [4,8,2,7,1,5,6,3]=>[5,1,7,2,8,4,3,6]=>[1,2,2,1,2]=>11010110=>5 [5,8,7,2,1,4,6,3]=>[4,1,2,7,8,5,3,6]=>[1,4,1,2]=>11000110=>3 [6,8,7,1,3,4,5,2]=>[3,1,2,8,6,5,4,7]=>[1,3,1,1,2]=>11001110=>3 [7,8,6,1,3,4,5,2]=>[2,1,3,8,6,5,4,7]=>[1,3,1,1,2]=>11001110=>3 [1,7,8,2,4,5,6,3]=>[8,2,1,7,5,4,3,6]=>[1,1,2,1,1,2]=>11101110=>3 [8,6,7,1,3,4,5,2]=>[1,3,2,8,6,5,4,7]=>[2,2,1,1,2]=>10101110=>5 [7,6,8,1,3,4,5,2]=>[2,3,1,8,6,5,4,7]=>[2,2,1,1,2]=>10101110=>5 [6,5,8,2,3,1,7,4]=>[3,4,1,7,6,8,2,5]=>[2,2,2,2]=>10101010=>7 [1,6,8,3,2,5,7,4]=>[8,3,1,6,7,4,2,5]=>[1,1,3,1,2]=>11100110=>3 [1,5,3,8,2,6,7,4]=>[8,4,6,1,7,3,2,5]=>[1,2,2,1,2]=>11010110=>5 [8,4,2,7,1,5,6,3]=>[1,5,7,2,8,4,3,6]=>[3,2,1,2]=>10010110=>5 [7,4,2,8,1,5,6,3]=>[2,5,7,1,8,4,3,6]=>[3,2,1,2]=>10010110=>5 [6,4,2,8,3,1,7,5]=>[3,5,7,1,6,8,2,4]=>[3,3,2]=>10010010=>5 [5,4,2,3,8,1,7,6]=>[4,5,7,6,1,8,2,3]=>[3,1,2,2]=>10011010=>5 [4,5,2,3,1,6,8,7]=>[5,4,7,6,8,3,1,2]=>[1,2,2,1,2]=>11010110=>5 [7,4,2,1,3,6,8,5]=>[2,5,7,8,6,3,1,4]=>[4,1,1,2]=>10001110=>3 [8,4,2,1,3,6,7,5]=>[1,5,7,8,6,3,2,4]=>[4,1,1,2]=>10001110=>3 [1,5,3,2,4,7,8,6]=>[8,4,6,7,5,2,1,3]=>[1,3,1,1,2]=>11001110=>3 [8,5,1,3,2,6,7,4]=>[1,4,8,6,7,3,2,5]=>[3,2,1,2]=>10010110=>5 [5,6,1,3,4,2,8,7]=>[4,3,8,6,5,7,1,2]=>[1,2,1,2,2]=>11011010=>5 [4,6,2,1,5,3,8,7]=>[5,3,7,8,4,6,1,2]=>[1,3,2,2]=>11001010=>5 [4,7,2,1,3,6,8,5]=>[5,2,7,8,6,3,1,4]=>[1,3,1,1,2]=>11001110=>3 [5,7,1,3,2,6,8,4]=>[4,2,8,6,7,3,1,5]=>[1,2,2,1,2]=>11010110=>5 [6,7,1,2,4,5,8,3]=>[3,2,8,7,5,4,1,6]=>[1,2,1,1,1,2]=>11011110=>3 [8,6,1,2,4,5,7,3]=>[1,3,8,7,5,4,2,6]=>[3,1,1,1,2]=>10011110=>3 [1,8,2,3,5,6,7,4]=>[8,1,7,6,4,3,2,5]=>[1,2,1,1,1,2]=>11011110=>3 [8,7,1,2,4,5,6,3]=>[1,2,8,7,5,4,3,6]=>[3,1,1,1,2]=>10011110=>3 [7,8,1,2,4,5,6,3]=>[2,1,8,7,5,4,3,6]=>[1,2,1,1,1,2]=>11011110=>3 [5,8,1,3,2,6,7,4]=>[4,1,8,6,7,3,2,5]=>[1,2,2,1,2]=>11010110=>5 [4,8,2,1,3,6,7,5]=>[5,1,7,8,6,3,2,4]=>[1,3,1,1,2]=>11001110=>3 [4,1,3,2,5,7,8,6]=>[5,8,6,7,4,2,1,3]=>[2,2,1,1,2]=>10101110=>5 [5,1,2,4,3,7,8,6]=>[4,8,7,5,6,2,1,3]=>[2,1,2,1,2]=>10110110=>5 [5,4,8,1,2,3,7,6]=>[4,5,1,8,7,6,2,3]=>[2,2,1,1,2]=>10101110=>5 [1,4,7,6,3,2,5,8]=>[8,5,2,3,6,7,4,1]=>[1,1,4,1,1]=>11100011=>2 [4,8,3,2,7,6,1,5]=>[5,1,6,7,2,3,8,4]=>[1,3,3,1]=>11001001=>4 [4,3,8,2,7,1,6,5]=>[5,6,1,7,2,8,3,4]=>[2,2,2,2]=>10101010=>7 [1,4,7,3,6,2,5,8]=>[8,5,2,6,3,7,4,1]=>[1,1,2,2,1,1]=>11101011=>4 [4,3,2,8,1,7,6,5]=>[5,6,7,1,8,2,3,4]=>[3,2,3]=>10010100=>5 [4,1,8,3,7,2,5,6]=>[5,8,1,6,2,7,4,3]=>[2,2,2,1,1]=>10101011=>6 [4,1,8,7,3,2,5,6]=>[5,8,1,2,6,7,4,3]=>[2,4,1,1]=>10100011=>4 [4,7,8,1,2,5,3,6]=>[5,2,1,8,7,4,6,3]=>[1,1,2,1,2,1]=>11101101=>4 [3,4,7,6,2,1,8,5]=>[6,5,2,3,7,8,1,4]=>[1,1,4,2]=>11100010=>3 [3,4,2,7,1,6,8,5]=>[6,5,7,2,8,3,1,4]=>[1,2,2,1,2]=>11010110=>5 [2,3,6,7,4,1,8,5]=>[7,6,3,2,5,8,1,4]=>[1,1,1,3,2]=>11110010=>3 [2,6,3,4,7,8,1,5]=>[7,3,6,5,2,1,8,4]=>[1,2,1,1,2,1]=>11011101=>4 [2,6,7,8,3,4,1,5]=>[7,3,2,1,6,5,8,4]=>[1,1,1,2,2,1]=>11110101=>4 [3,1,7,8,4,2,5,6]=>[6,8,2,1,5,7,4,3]=>[2,1,3,1,1]=>10110011=>4 [4,1,3,2,8,7,5,6]=>[5,8,6,7,1,2,4,3]=>[2,2,3,1]=>10101001=>6 [3,7,8,2,6,4,1,5]=>[6,2,1,7,3,5,8,4]=>[1,1,2,3,1]=>11101001=>4 [4,2,3,8,1,6,7,5]=>[5,7,6,1,8,3,2,4]=>[2,1,2,1,2]=>10110110=>5 [1,3,6,7,4,2,5,8]=>[8,6,3,2,5,7,4,1]=>[1,1,1,3,1,1]=>11110011=>2 [4,2,8,6,3,1,7,5]=>[5,7,1,3,6,8,2,4]=>[2,4,2]=>10100010=>5 [3,7,2,4,8,6,1,5]=>[6,2,7,5,1,3,8,4]=>[1,2,1,3,1]=>11011001=>4 [3,2,7,4,8,1,6,5]=>[6,7,2,5,1,8,3,4]=>[2,2,2,2]=>10101010=>7 [1,3,6,4,7,2,5,8]=>[8,6,3,5,2,7,4,1]=>[1,1,2,2,1,1]=>11101011=>4 [3,2,4,7,1,8,6,5]=>[6,7,5,2,8,1,3,4]=>[2,1,2,3]=>10110100=>5 [3,7,4,2,6,8,1,5]=>[6,2,5,7,3,1,8,4]=>[1,3,1,2,1]=>11001101=>4 [3,7,4,6,2,8,1,5]=>[6,2,5,3,7,1,8,4]=>[1,2,2,2,1]=>11010101=>6 [4,7,1,5,8,2,3,6]=>[5,2,8,4,1,7,6,3]=>[1,2,1,2,1,1]=>11011011=>4 [3,7,6,4,8,2,1,5]=>[6,2,3,5,1,7,8,4]=>[1,3,3,1]=>11001001=>4 [3,1,7,4,8,2,5,6]=>[6,8,2,5,1,7,4,3]=>[2,2,2,1,1]=>10101011=>6 [2,6,7,3,8,4,1,5]=>[7,3,2,6,1,5,8,4]=>[1,1,2,3,1]=>11101001=>4 [7,4,8,5,6,3,2,1]=>[2,5,1,4,3,6,7,8]=>[2,2,4]=>10101000=>5 [3,4,6,7,8,5,1,2]=>[6,5,3,2,1,4,8,7]=>[1,1,1,1,3,1]=>11111001=>2 [1,2,6,4,7,5,8,3]=>[8,7,3,5,2,4,1,6]=>[1,1,2,2,2]=>11101010=>5 [3,1,7,5,4,2,6,8]=>[6,8,2,4,5,7,3,1]=>[2,4,1,1]=>10100011=>4 [6,3,8,5,4,7,1,2]=>[3,6,1,4,5,2,8,7]=>[2,3,2,1]=>10100101=>6 [1,6,2,5,4,7,8,3]=>[8,3,7,4,5,2,1,6]=>[1,2,2,1,2]=>11010110=>5 [1,8,2,5,6,3,7,4]=>[8,1,7,4,3,6,2,5]=>[1,2,1,2,2]=>11011010=>5 [1,2,6,4,8,5,7,3]=>[8,7,3,5,1,4,2,6]=>[1,1,2,2,2]=>11101010=>5 [7,8,3,1,4,2,5,6]=>[2,1,6,8,5,7,4,3]=>[1,3,2,1,1]=>11001011=>4 [4,8,1,5,2,3,6,7]=>[5,1,8,4,7,6,3,2]=>[1,2,2,1,1,1]=>11010111=>4 [7,4,1,5,2,3,6,8]=>[2,5,8,4,7,6,3,1]=>[3,2,1,1,1]=>10010111=>4 [5,6,1,8,4,3,2,7]=>[4,3,8,1,5,6,7,2]=>[1,2,4,1]=>11010001=>4 [5,1,8,6,4,3,2,7]=>[4,8,1,3,5,6,7,2]=>[2,5,1]=>10100001=>4 [5,1,6,3,8,7,2,4]=>[4,8,3,6,1,2,7,5]=>[2,2,3,1]=>10101001=>6 [6,1,2,5,8,3,7,4]=>[3,8,7,4,1,6,2,5]=>[2,1,1,2,2]=>10111010=>5 [6,1,8,7,4,3,2,5]=>[3,8,1,2,5,6,7,4]=>[2,5,1]=>10100001=>4 [7,1,2,5,4,8,6,3]=>[2,8,7,4,5,1,3,6]=>[2,1,2,3]=>10110100=>5 [1,2,7,5,8,3,6,4]=>[8,7,2,4,1,6,3,5]=>[1,1,2,2,2]=>11101010=>5 [4,1,6,3,7,5,2,8]=>[5,8,3,6,2,4,7,1]=>[2,2,3,1]=>10101001=>6 [1,3,6,7,8,5,2,4]=>[8,6,3,2,1,4,7,5]=>[1,1,1,1,3,1]=>11111001=>2 [1,2,6,4,7,8,5,3]=>[8,7,3,5,2,1,4,6]=>[1,1,2,1,3]=>11101100=>3 [4,1,6,3,7,8,2,5]=>[5,8,3,6,2,1,7,4]=>[2,2,1,2,1]=>10101101=>6 [3,1,6,4,8,2,7,5]=>[6,8,3,5,1,7,2,4]=>[2,2,2,2]=>10101010=>7 [7,8,4,1,6,3,2,5]=>[2,1,5,8,3,6,7,4]=>[1,3,3,1]=>11001001=>4 [4,1,6,3,8,7,2,5]=>[5,8,3,6,1,2,7,4]=>[2,2,3,1]=>10101001=>6 [7,5,1,8,4,3,2,6]=>[2,4,8,1,5,6,7,3]=>[3,4,1]=>10010001=>4 [6,5,1,7,4,3,2,8]=>[3,4,8,2,5,6,7,1]=>[3,4,1]=>10010001=>4 [4,1,8,5,2,3,7,6]=>[5,8,1,4,7,6,2,3]=>[2,3,1,2]=>10100110=>5 [4,1,6,8,3,7,2,5]=>[5,8,3,1,6,2,7,4]=>[2,1,2,2,1]=>10110101=>6 [5,4,6,1,3,8,2,7]=>[4,5,3,8,6,1,7,2]=>[2,2,1,2,1]=>10101101=>6 [6,5,8,1,4,3,2,7]=>[3,4,1,8,5,6,7,2]=>[2,2,3,1]=>10101001=>6 [1,3,5,7,6,8,2,4]=>[8,6,4,2,3,1,7,5]=>[1,1,1,2,2,1]=>11110101=>4 [1,3,5,7,6,2,8,4]=>[8,6,4,2,3,7,1,5]=>[1,1,1,3,2]=>11110010=>3 [1,3,5,7,2,6,8,4]=>[8,6,4,2,7,3,1,5]=>[1,1,1,2,1,2]=>11110110=>3 [1,3,5,2,7,6,4,8]=>[8,6,4,7,2,3,5,1]=>[1,1,2,3,1]=>11101001=>4 [1,3,5,7,6,2,4,8]=>[8,6,4,2,3,7,5,1]=>[1,1,1,3,1,1]=>11110011=>2 [1,3,5,7,4,6,8,2]=>[8,6,4,2,5,3,1,7]=>[1,1,1,2,1,2]=>11110110=>3 [1,3,5,7,4,6,2,8]=>[8,6,4,2,5,3,7,1]=>[1,1,1,2,2,1]=>11110101=>4 [1,3,5,7,4,2,6,8]=>[8,6,4,2,5,7,3,1]=>[1,1,1,3,1,1]=>11110011=>2 [1,3,5,4,7,2,6,8]=>[8,6,4,5,2,7,3,1]=>[1,1,2,2,1,1]=>11101011=>4 [1,3,5,4,7,8,2,6]=>[8,6,4,5,2,1,7,3]=>[1,1,2,1,2,1]=>11101101=>4 [1,3,5,4,7,2,8,6]=>[8,6,4,5,2,7,1,3]=>[1,1,2,2,2]=>11101010=>5 [1,3,5,7,4,2,8,6]=>[8,6,4,2,5,7,1,3]=>[1,1,1,3,2]=>11110010=>3 [1,3,5,7,4,8,2,6]=>[8,6,4,2,5,1,7,3]=>[1,1,1,2,2,1]=>11110101=>4 [1,3,5,7,4,8,6,2]=>[8,6,4,2,5,1,3,7]=>[1,1,1,2,3]=>11110100=>3 [1,3,5,7,8,4,6,2]=>[8,6,4,2,1,5,3,7]=>[1,1,1,1,2,2]=>11111010=>3 [1,3,5,7,8,4,2,6]=>[8,6,4,2,1,5,7,3]=>[1,1,1,1,3,1]=>11111001=>2 [1,3,5,2,7,8,6,4]=>[8,6,4,7,2,1,3,5]=>[1,1,2,1,3]=>11101100=>3 [1,3,5,7,2,8,6,4]=>[8,6,4,2,7,1,3,5]=>[1,1,1,2,3]=>11110100=>3 [1,3,5,7,8,2,6,4]=>[8,6,4,2,1,7,3,5]=>[1,1,1,1,2,2]=>11111010=>3 [1,6,3,2,7,4,8,5]=>[8,3,6,7,2,5,1,4]=>[1,3,2,2]=>11001010=>5 [3,5,1,6,2,8,7,4]=>[6,4,8,3,7,1,2,5]=>[1,2,2,3]=>11010100=>5 [1,3,7,2,5,4,8,6]=>[8,6,2,7,4,5,1,3]=>[1,1,2,2,2]=>11101010=>5 [2,6,1,7,4,3,8,5]=>[7,3,8,2,5,6,1,4]=>[1,2,3,2]=>11010010=>5 [1,3,7,5,2,4,8,6]=>[8,6,2,4,7,5,1,3]=>[1,1,3,1,2]=>11100110=>3 [2,5,3,7,4,8,1,6]=>[7,4,6,2,5,1,8,3]=>[1,2,2,2,1]=>11010101=>6 [1,4,7,2,3,8,6,5]=>[8,5,2,7,6,1,3,4]=>[1,1,2,1,3]=>11101100=>3 [2,4,7,3,1,8,6,5]=>[7,5,2,6,8,1,3,4]=>[1,1,3,3]=>11100100=>3 [1,4,6,3,8,2,7,5]=>[8,5,3,6,1,7,2,4]=>[1,1,2,2,2]=>11101010=>5 [1,3,5,2,8,7,6,4]=>[8,6,4,7,1,2,3,5]=>[1,1,2,4]=>11101000=>3 [1,4,7,3,8,2,6,5]=>[8,5,2,6,1,7,3,4]=>[1,1,2,2,2]=>11101010=>5 [2,5,1,7,8,4,6,3]=>[7,4,8,2,1,5,3,6]=>[1,2,1,2,2]=>11011010=>5 [3,2,6,7,8,1,5,4]=>[6,7,3,2,1,8,4,5]=>[2,1,1,2,2]=>10111010=>5 [3,5,2,7,8,4,1,6]=>[6,4,7,2,1,5,8,3]=>[1,2,1,3,1]=>11011001=>4 [1,5,7,4,8,3,2,6]=>[8,4,2,5,1,6,7,3]=>[1,1,2,3,1]=>11101001=>4 [2,5,1,6,8,4,7,3]=>[7,4,8,3,1,5,2,6]=>[1,2,1,2,2]=>11011010=>5 [4,6,2,1,7,8,3,5]=>[5,3,7,8,2,1,6,4]=>[1,3,1,2,1]=>11001101=>4 [3,5,2,6,8,4,7,1]=>[6,4,7,3,1,5,2,8]=>[1,2,1,2,2]=>11011010=>5 [2,5,4,6,8,7,1,3]=>[7,4,5,3,1,2,8,6]=>[1,2,1,3,1]=>11011001=>4 [1,3,6,2,8,7,5,4]=>[8,6,3,7,1,2,4,5]=>[1,1,2,4]=>11101000=>3 [1,4,6,3,8,7,2,5]=>[8,5,3,6,1,2,7,4]=>[1,1,2,3,1]=>11101001=>4 [2,5,7,4,3,8,6,1]=>[7,4,2,5,6,1,3,8]=>[1,1,3,3]=>11100100=>3 [1,5,7,2,4,8,6,3]=>[8,4,2,7,5,1,3,6]=>[1,1,2,1,3]=>11101100=>3 [4,6,3,7,2,8,5,1]=>[5,3,6,2,7,1,4,8]=>[1,2,2,3]=>11010100=>5 [4,3,6,7,8,2,5,1]=>[5,6,3,2,1,7,4,8]=>[2,1,1,2,2]=>10111010=>5 [1,4,7,3,8,6,2,5]=>[8,5,2,6,1,3,7,4]=>[1,1,2,3,1]=>11101001=>4 [1,3,7,2,8,6,5,4]=>[8,6,2,7,1,3,4,5]=>[1,1,2,4]=>11101000=>3 [5,1,6,8,2,4,3,7]=>[4,8,3,1,7,5,6,2]=>[2,1,2,2,1]=>10110101=>6 [5,3,7,8,2,4,1,6]=>[4,6,2,1,7,5,8,3]=>[2,1,2,2,1]=>10110101=>6 [8,5,3,7,2,4,1,6]=>[1,4,6,2,7,5,8,3]=>[3,2,2,1]=>10010101=>6 [8,2,4,7,3,1,5,6]=>[1,7,5,2,6,8,4,3]=>[2,1,3,1,1]=>10110011=>4 [2,4,7,8,3,1,5,6]=>[7,5,2,1,6,8,4,3]=>[1,1,1,3,1,1]=>11110011=>2 [6,3,1,5,8,2,4,7]=>[3,6,8,4,1,7,5,2]=>[3,1,2,1,1]=>10011011=>4 [6,5,3,4,2,8,1,7]=>[3,4,6,5,7,1,8,2]=>[3,2,2,1]=>10010101=>6 [5,2,4,3,8,1,6,7]=>[4,7,5,6,1,8,3,2]=>[2,2,2,1,1]=>10101011=>6 [3,2,4,8,1,5,6,7]=>[6,7,5,1,8,4,3,2]=>[2,1,2,1,1,1]=>10110111=>4 [3,2,4,6,8,1,5,7]=>[6,7,5,3,1,8,4,2]=>[2,1,1,2,1,1]=>10111011=>4 [8,1,5,7,3,2,4,6]=>[1,8,4,2,6,7,5,3]=>[2,1,3,1,1]=>10110011=>4 [8,4,6,7,2,3,1,5]=>[1,5,3,2,7,6,8,4]=>[2,1,2,2,1]=>10110101=>6 [4,6,7,8,2,3,1,5]=>[5,3,2,1,7,6,8,4]=>[1,1,1,2,2,1]=>11110101=>4 [7,4,6,8,2,3,1,5]=>[2,5,3,1,7,6,8,4]=>[2,1,2,2,1]=>10110101=>6 [7,2,4,8,3,1,5,6]=>[2,7,5,1,6,8,4,3]=>[2,1,3,1,1]=>10110011=>4 [5,3,8,7,2,4,1,6]=>[4,6,1,2,7,5,8,3]=>[2,3,2,1]=>10100101=>6 [2,4,8,7,3,1,5,6]=>[7,5,1,2,6,8,4,3]=>[1,1,4,1,1]=>11100011=>2 [4,6,8,7,2,3,1,5]=>[5,3,1,2,7,6,8,4]=>[1,1,3,2,1]=>11100101=>4 [8,7,4,6,2,3,1,5]=>[1,2,5,3,7,6,8,4]=>[3,2,2,1]=>10010101=>6 [5,6,8,7,2,3,1,4]=>[4,3,1,2,7,6,8,5]=>[1,1,3,2,1]=>11100101=>4 [6,4,8,7,2,3,1,5]=>[3,5,1,2,7,6,8,4]=>[2,3,2,1]=>10100101=>6 [3,1,7,4,2,8,6,5]=>[6,8,2,5,7,1,3,4]=>[2,3,3]=>10100100=>5 [3,2,8,4,1,7,6,5]=>[6,7,1,5,8,2,3,4]=>[2,3,3]=>10100100=>5 [7,6,4,8,2,3,1,5]=>[2,3,5,1,7,6,8,4]=>[3,2,2,1]=>10010101=>6 [5,7,6,8,2,3,1,4]=>[4,2,3,1,7,6,8,5]=>[1,2,2,2,1]=>11010101=>6 [4,7,6,8,2,3,1,5]=>[5,2,3,1,7,6,8,4]=>[1,2,2,2,1]=>11010101=>6 [8,6,4,7,2,3,1,5]=>[1,3,5,2,7,6,8,4]=>[3,2,2,1]=>10010101=>6 [8,2,3,7,4,1,6,5]=>[1,7,6,2,5,8,3,4]=>[2,1,3,2]=>10110010=>5 [2,3,7,8,4,1,6,5]=>[7,6,2,1,5,8,3,4]=>[1,1,1,3,2]=>11110010=>3 [3,7,4,8,2,5,1,6]=>[6,2,5,1,7,4,8,3]=>[1,2,2,2,1]=>11010101=>6 [2,3,7,4,1,6,8,5]=>[7,6,2,5,8,3,1,4]=>[1,1,3,1,2]=>11100110=>3 [8,1,6,4,2,3,7,5]=>[1,8,3,5,7,6,2,4]=>[2,3,1,2]=>10100110=>5 [4,7,8,6,2,3,1,5]=>[5,2,1,3,7,6,8,4]=>[1,1,3,2,1]=>11100101=>4 [2,4,7,3,1,5,8,6]=>[7,5,2,6,8,4,1,3]=>[1,1,3,1,2]=>11100110=>3 [6,3,1,7,4,2,8,5]=>[3,6,8,2,5,7,1,4]=>[3,3,2]=>10010010=>5 [8,5,7,6,2,3,1,4]=>[1,4,2,3,7,6,8,5]=>[2,3,2,1]=>10100101=>6 [7,5,8,6,2,3,1,4]=>[2,4,1,3,7,6,8,5]=>[2,3,2,1]=>10100101=>6 [7,1,6,4,2,3,8,5]=>[2,8,3,5,7,6,1,4]=>[2,3,1,2]=>10100110=>5 [3,1,7,6,4,2,8,5]=>[6,8,2,3,5,7,1,4]=>[2,4,2]=>10100010=>5 [4,8,7,6,2,3,1,5]=>[5,1,2,3,7,6,8,4]=>[1,4,2,1]=>11000101=>4 [6,8,7,5,2,3,1,4]=>[3,1,2,4,7,6,8,5]=>[1,4,2,1]=>11000101=>4 [4,3,6,1,5,8,7,2]=>[5,6,3,8,4,1,2,7]=>[2,2,1,3]=>10101100=>5 [4,3,6,5,1,8,7,2]=>[5,6,3,4,8,1,2,7]=>[2,3,3]=>10100100=>5 [4,6,3,5,1,8,7,2]=>[5,3,6,4,8,1,2,7]=>[1,2,2,3]=>11010100=>5 [4,6,3,1,5,8,7,2]=>[5,3,6,8,4,1,2,7]=>[1,3,1,3]=>11001100=>3 [4,1,6,5,3,8,7,2]=>[5,8,3,4,6,1,2,7]=>[2,3,3]=>10100100=>5 [4,6,1,5,3,8,7,2]=>[5,3,8,4,6,1,2,7]=>[1,2,2,3]=>11010100=>5 [2,6,5,3,1,8,7,4]=>[7,3,4,6,8,1,2,5]=>[1,4,3]=>11000100=>3 [2,6,5,1,8,7,3,4]=>[7,3,4,8,1,2,6,5]=>[1,3,3,1]=>11001001=>4 [2,6,5,8,1,7,3,4]=>[7,3,4,1,8,2,6,5]=>[1,2,2,2,1]=>11010101=>6 [2,6,5,8,1,3,7,4]=>[7,3,4,1,8,6,2,5]=>[1,2,2,1,2]=>11010110=>5 [2,6,5,8,3,1,7,4]=>[7,3,4,1,6,8,2,5]=>[1,2,3,2]=>11010010=>5 [2,6,5,3,8,1,7,4]=>[7,3,4,6,1,8,2,5]=>[1,3,2,2]=>11001010=>5 [4,6,1,5,8,3,7,2]=>[5,3,8,4,1,6,2,7]=>[1,2,1,2,2]=>11011010=>5 [4,1,6,5,8,3,7,2]=>[5,8,3,4,1,6,2,7]=>[2,2,2,2]=>10101010=>7 [1,4,6,5,8,3,7,2]=>[8,5,3,4,1,6,2,7]=>[1,1,2,2,2]=>11101010=>5 [4,1,6,5,8,7,3,2]=>[5,8,3,4,1,2,6,7]=>[2,2,4]=>10101000=>5 [2,6,5,3,8,7,1,4]=>[7,3,4,6,1,2,8,5]=>[1,3,3,1]=>11001001=>4 [6,4,3,8,7,1,5,2]=>[3,5,6,1,2,8,4,7]=>[3,3,2]=>10010010=>5 [6,4,8,3,7,1,5,2]=>[3,5,1,6,2,8,4,7]=>[2,2,2,2]=>10101010=>7 [2,6,8,5,3,7,1,4]=>[7,3,1,4,6,2,8,5]=>[1,1,3,2,1]=>11100101=>4 [4,6,8,1,5,7,3,2]=>[5,3,1,8,4,2,6,7]=>[1,1,2,1,3]=>11101100=>3 [4,6,1,8,5,7,3,2]=>[5,3,8,1,4,2,6,7]=>[1,2,2,3]=>11010100=>5 [4,1,6,8,5,7,3,2]=>[5,8,3,1,4,2,6,7]=>[2,1,2,3]=>10110100=>5 [1,4,6,8,5,7,3,2]=>[8,5,3,1,4,2,6,7]=>[1,1,1,2,3]=>11110100=>3 [1,4,6,8,5,3,7,2]=>[8,5,3,1,4,6,2,7]=>[1,1,1,3,2]=>11110010=>3 [4,6,1,8,5,3,7,2]=>[5,3,8,1,4,6,2,7]=>[1,2,3,2]=>11010010=>5 [2,6,8,5,3,1,7,4]=>[7,3,1,4,6,8,2,5]=>[1,1,4,2]=>11100010=>3 [2,6,8,5,1,7,3,4]=>[7,3,1,4,8,2,6,5]=>[1,1,3,2,1]=>11100101=>4 [4,6,8,3,5,1,7,2]=>[5,3,1,6,4,8,2,7]=>[1,1,2,2,2]=>11101010=>5 [4,6,8,3,1,5,7,2]=>[5,3,1,6,8,4,2,7]=>[1,1,3,1,2]=>11100110=>3 [4,6,3,1,8,5,7,2]=>[5,3,6,8,1,4,2,7]=>[1,3,2,2]=>11001010=>5 [4,6,3,8,1,5,7,2]=>[5,3,6,1,8,4,2,7]=>[1,2,2,1,2]=>11010110=>5 [4,6,3,8,5,7,1,2]=>[5,3,6,1,4,2,8,7]=>[1,2,2,2,1]=>11010101=>6 [4,3,6,8,1,5,7,2]=>[5,6,3,1,8,4,2,7]=>[2,1,2,1,2]=>10110110=>5 [4,3,6,1,8,5,7,2]=>[5,6,3,8,1,4,2,7]=>[2,2,2,2]=>10101010=>7 [4,3,1,6,8,5,7,2]=>[5,6,8,3,1,4,2,7]=>[3,1,2,2]=>10011010=>5 [4,1,3,6,8,7,5,2]=>[5,8,6,3,1,2,4,7]=>[2,1,1,4]=>10111000=>3 [4,3,6,1,8,7,5,2]=>[5,6,3,8,1,2,4,7]=>[2,2,4]=>10101000=>5 [4,3,6,8,1,7,5,2]=>[5,6,3,1,8,2,4,7]=>[2,1,2,3]=>10110100=>5 [6,5,2,8,7,3,1,4]=>[3,4,7,1,2,6,8,5]=>[3,4,1]=>10010001=>4 [6,5,2,8,7,1,3,4]=>[3,4,7,1,2,8,6,5]=>[3,3,1,1]=>10010011=>4 [6,2,5,8,7,1,3,4]=>[3,7,4,1,2,8,6,5]=>[2,1,3,1,1]=>10110011=>4 [6,2,5,8,7,3,1,4]=>[3,7,4,1,2,6,8,5]=>[2,1,4,1]=>10110001=>4 [4,6,3,8,1,7,5,2]=>[5,3,6,1,8,2,4,7]=>[1,2,2,3]=>11010100=>5 [4,6,3,1,8,7,5,2]=>[5,3,6,8,1,2,4,7]=>[1,3,4]=>11001000=>3 [4,1,6,3,8,7,5,2]=>[5,8,3,6,1,2,4,7]=>[2,2,4]=>10101000=>5 [1,4,6,3,8,7,5,2]=>[8,5,3,6,1,2,4,7]=>[1,1,2,4]=>11101000=>3 [4,1,6,8,3,7,5,2]=>[5,8,3,1,6,2,4,7]=>[2,1,2,3]=>10110100=>5 [4,6,1,8,3,7,5,2]=>[5,3,8,1,6,2,4,7]=>[1,2,2,3]=>11010100=>5 [4,6,8,1,3,7,5,2]=>[5,3,1,8,6,2,4,7]=>[1,1,2,1,3]=>11101100=>3 [6,2,8,5,7,3,1,4]=>[3,7,1,4,2,6,8,5]=>[2,2,3,1]=>10101001=>6 [6,2,8,5,7,1,3,4]=>[3,7,1,4,2,8,6,5]=>[2,2,2,1,1]=>10101011=>6 [2,4,8,7,1,5,3,6]=>[7,5,1,2,8,4,6,3]=>[1,1,3,2,1]=>11100101=>4 [4,2,8,7,5,3,1,6]=>[5,7,1,2,4,6,8,3]=>[2,5,1]=>10100001=>4 [6,4,1,8,7,5,3,2]=>[3,5,8,1,2,4,6,7]=>[3,5]=>10010000=>3 [6,1,4,8,7,5,3,2]=>[3,8,5,1,2,4,6,7]=>[2,1,5]=>10110000=>3 [1,6,4,8,7,3,5,2]=>[8,3,5,1,2,6,4,7]=>[1,2,3,2]=>11010010=>5 [6,4,1,8,7,3,5,2]=>[3,5,8,1,2,6,4,7]=>[3,3,2]=>10010010=>5 [4,2,8,7,5,1,3,6]=>[5,7,1,2,4,8,6,3]=>[2,4,1,1]=>10100011=>4 [2,4,8,7,3,5,1,6]=>[7,5,1,2,6,4,8,3]=>[1,1,3,2,1]=>11100101=>4 [2,3,4,5,6,8,9,7,1]=>[8,7,6,5,4,2,1,3,9]=>[1,1,1,1,1,1,3]=>111111100=>1 [2,3,4,7,1,8,6,5]=>[7,6,5,2,8,1,3,4]=>[1,1,1,2,3]=>11110100=>3 [2,3,4,5,7,8,9,6,1]=>[8,7,6,5,3,2,1,4,9]=>[1,1,1,1,1,1,3]=>111111100=>1 [2,3,5,6,7,8,9,4,1]=>[8,7,5,4,3,2,1,6,9]=>[1,1,1,1,1,1,3]=>111111100=>1 [2,4,5,6,7,8,9,3,1]=>[8,6,5,4,3,2,1,7,9]=>[1,1,1,1,1,1,3]=>111111100=>1 [2,3,4,7,8,5,6,1]=>[7,6,5,2,1,4,3,8]=>[1,1,1,1,2,2]=>11111010=>3 [2,3,6,7,4,8,5,1]=>[7,6,3,2,5,1,4,8]=>[1,1,1,2,3]=>11110100=>3 [2,5,6,3,7,8,1,4]=>[7,4,3,6,2,1,8,5]=>[1,1,2,1,2,1]=>11101101=>4 [2,3,7,1,4,8,6,5]=>[7,6,2,8,5,1,3,4]=>[1,1,2,1,3]=>11101100=>3 [2,3,6,1,7,8,9,4,5]=>[8,7,4,9,3,2,1,6,5]=>[1,1,2,1,1,2,1]=>111011101=>4 [2,6,1,3,7,8,5,4]=>[7,3,8,6,2,1,4,5]=>[1,2,1,1,3]=>11011100=>3 [2,5,6,7,4,8,1,3]=>[7,4,3,2,5,1,8,6]=>[1,1,1,2,2,1]=>11110101=>4 [2,3,7,8,4,5,6,1]=>[7,6,2,1,5,4,3,8]=>[1,1,1,2,1,2]=>11110110=>3 [2,6,7,3,4,8,5,1]=>[7,3,2,6,5,1,4,8]=>[1,1,2,1,3]=>11101100=>3 [2,6,1,3,7,8,9,4,5]=>[8,4,9,7,3,2,1,6,5]=>[1,2,1,1,1,2,1]=>110111101=>4 [1,5,3,2,6,4,7,8]=>[8,4,6,7,3,5,2,1]=>[1,3,2,1,1]=>11001011=>4 [1,5,3,2,6,7,4,8]=>[8,4,6,7,3,2,5,1]=>[1,3,1,2,1]=>11001101=>4 [1,7,3,2,8,5,4,6]=>[8,2,6,7,1,4,5,3]=>[1,3,3,1]=>11001001=>4 [1,7,3,2,5,8,4,6]=>[8,2,6,7,4,1,5,3]=>[1,3,1,2,1]=>11001101=>4 [1,3,2,7,5,4,8,6]=>[8,6,7,2,4,5,1,3]=>[1,2,3,2]=>11010010=>5 [6,5,2,4,3,7,1,8]=>[3,4,7,5,6,2,8,1]=>[3,2,2,1]=>10010101=>6 [6,4,2,5,3,7,1,8]=>[3,5,7,4,6,2,8,1]=>[3,2,2,1]=>10010101=>6 [5,4,7,6,2,3,1,8]=>[4,5,2,3,7,6,8,1]=>[2,3,2,1]=>10100101=>6 [3,6,4,8,2,1,5,7]=>[6,3,5,1,7,8,4,2]=>[1,2,3,1,1]=>11010011=>4 [1,6,2,8,5,3,4,7]=>[8,3,7,1,4,6,5,2]=>[1,2,3,1,1]=>11010011=>4 [4,6,2,3,7,5,1,8]=>[5,3,7,6,2,4,8,1]=>[1,2,1,3,1]=>11011001=>4 [4,7,2,3,6,5,1,8]=>[5,2,7,6,3,4,8,1]=>[1,2,1,3,1]=>11011001=>4 [4,7,2,3,5,6,1,8]=>[5,2,7,6,4,3,8,1]=>[1,2,1,1,2,1]=>11011101=>4 [5,3,2,7,4,6,1,8]=>[4,6,7,2,5,3,8,1]=>[3,2,2,1]=>10010101=>6 [5,3,2,6,4,7,1,8]=>[4,6,7,3,5,2,8,1]=>[3,2,2,1]=>10010101=>6 [4,6,2,3,5,7,1,8]=>[5,3,7,6,4,2,8,1]=>[1,2,1,1,2,1]=>11011101=>4 [3,5,2,1,6,8,4,7]=>[6,4,7,8,3,1,5,2]=>[1,3,1,2,1]=>11001101=>4 [1,5,2,6,8,4,3,7]=>[8,4,7,3,1,5,6,2]=>[1,2,1,3,1]=>11011001=>4 [1,5,7,2,8,4,3,6]=>[8,4,2,7,1,5,6,3]=>[1,1,2,3,1]=>11101001=>4 [3,5,2,1,8,6,4,7]=>[6,4,7,8,1,3,5,2]=>[1,3,3,1]=>11001001=>4 [3,6,8,4,2,1,5,7]=>[6,3,1,5,7,8,4,2]=>[1,1,4,1,1]=>11100011=>2 [4,3,2,6,1,8,5,7]=>[5,6,7,3,8,1,4,2]=>[3,2,2,1]=>10010101=>6 [1,5,8,2,7,4,3,6]=>[8,4,1,7,2,5,6,3]=>[1,1,2,3,1]=>11101001=>4 [1,7,2,3,4,8,6,5]=>[8,2,7,6,5,1,3,4]=>[1,2,1,1,3]=>11011100=>3 [6,8,2,3,4,1,7,5]=>[3,1,7,6,5,8,2,4]=>[1,2,1,2,2]=>11011010=>5 [4,1,8,2,3,5,7,6]=>[5,8,1,7,6,4,2,3]=>[2,2,1,1,2]=>10101110=>5 [2,3,1,8,4,5,7,6]=>[7,6,8,1,5,4,2,3]=>[1,2,2,1,2]=>11010110=>5 [7,3,2,1,4,5,8,6]=>[2,6,7,8,5,4,1,3]=>[4,1,1,2]=>10001110=>3 [7,8,1,4,3,5,2,6]=>[2,1,8,5,6,4,7,3]=>[1,2,2,2,1]=>11010101=>6 [7,1,2,3,4,6,8,5]=>[2,8,7,6,5,3,1,4]=>[2,1,1,1,1,2]=>10111110=>3 [6,1,2,3,4,8,7,5]=>[3,8,7,6,5,1,2,4]=>[2,1,1,1,3]=>10111100=>3 [1,8,2,3,4,7,6,5]=>[8,1,7,6,5,2,3,4]=>[1,2,1,1,3]=>11011100=>3 [8,1,2,3,4,6,7,5]=>[1,8,7,6,5,3,2,4]=>[2,1,1,1,1,2]=>10111110=>3 [2,8,1,3,5,4,7,6]=>[7,1,8,6,4,5,2,3]=>[1,2,1,2,2]=>11011010=>5 [8,7,1,4,3,5,2,6]=>[1,2,8,5,6,4,7,3]=>[3,2,2,1]=>10010101=>6 [8,3,2,1,4,5,7,6]=>[1,6,7,8,5,4,2,3]=>[4,1,1,2]=>10001110=>3 [3,8,2,1,5,6,4,7]=>[6,1,7,8,4,3,5,2]=>[1,3,1,2,1]=>11001101=>4 [3,8,2,1,6,5,4,7]=>[6,1,7,8,3,4,5,2]=>[1,3,3,1]=>11001001=>4 [1,7,8,3,5,4,2,6]=>[8,2,1,6,4,5,7,3]=>[1,1,2,3,1]=>11101001=>4 [7,4,1,8,3,5,2,6]=>[2,5,8,1,6,4,7,3]=>[3,2,2,1]=>10010101=>6 [8,4,1,7,3,5,2,6]=>[1,5,8,2,6,4,7,3]=>[3,2,2,1]=>10010101=>6 [3,8,4,6,2,1,5,7]=>[6,1,5,3,7,8,4,2]=>[1,2,3,1,1]=>11010011=>4 [8,4,2,5,3,1,6,7]=>[1,5,7,4,6,8,3,2]=>[3,3,1,1]=>10010011=>4 [8,5,2,4,3,1,6,7]=>[1,4,7,5,6,8,3,2]=>[3,3,1,1]=>10010011=>4 [8,3,2,5,4,1,6,7]=>[1,6,7,4,5,8,3,2]=>[3,3,1,1]=>10010011=>4 [4,3,2,5,1,8,6,7]=>[5,6,7,4,8,1,3,2]=>[3,2,2,1]=>10010101=>6 [3,5,2,4,1,8,6,7]=>[6,4,7,5,8,1,3,2]=>[1,2,2,2,1]=>11010101=>6 [2,4,7,8,1,5,3,6]=>[7,5,2,1,8,4,6,3]=>[1,1,1,2,2,1]=>11110101=>4 [1,8,7,3,5,4,2,6]=>[8,1,2,6,4,5,7,3]=>[1,3,3,1]=>11001001=>4 [5,1,8,2,7,4,3,6]=>[4,8,1,7,2,5,6,3]=>[2,2,3,1]=>10101001=>6 [5,1,7,2,8,4,3,6]=>[4,8,2,7,1,5,6,3]=>[2,2,3,1]=>10101001=>6 [6,1,2,8,5,3,4,7]=>[3,8,7,1,4,6,5,2]=>[2,1,3,1,1]=>10110011=>4 [6,3,2,1,8,4,5,7]=>[3,6,7,8,1,5,4,2]=>[4,2,1,1]=>10001011=>4 [7,3,2,8,4,5,1,6]=>[2,6,7,1,5,4,8,3]=>[3,2,2,1]=>10010101=>6 [2,7,8,4,3,5,1,6]=>[7,2,1,5,6,4,8,3]=>[1,1,3,2,1]=>11100101=>4 [7,1,8,3,5,4,2,6]=>[2,8,1,6,4,5,7,3]=>[2,2,3,1]=>10101001=>6 [7,8,2,3,4,6,1,5]=>[2,1,7,6,5,3,8,4]=>[1,2,1,1,2,1]=>11011101=>4 [6,7,1,3,4,8,2,5]=>[3,2,8,6,5,1,7,4]=>[1,2,1,1,2,1]=>11011101=>4 [6,8,1,3,4,7,2,5]=>[3,1,8,6,5,2,7,4]=>[1,2,1,1,2,1]=>11011101=>4 [1,7,2,3,4,6,8,5]=>[8,2,7,6,5,3,1,4]=>[1,2,1,1,1,2]=>11011110=>3 [1,6,2,3,4,8,7,5]=>[8,3,7,6,5,1,2,4]=>[1,2,1,1,3]=>11011100=>3 [7,6,2,3,4,1,8,5]=>[2,3,7,6,5,8,1,4]=>[3,1,2,2]=>10011010=>5 [8,6,2,3,4,1,7,5]=>[1,3,7,6,5,8,2,4]=>[3,1,2,2]=>10011010=>5 [8,1,7,3,5,4,2,6]=>[1,8,2,6,4,5,7,3]=>[2,2,3,1]=>10101001=>6 [8,3,2,7,4,5,1,6]=>[1,6,7,2,5,4,8,3]=>[3,2,2,1]=>10010101=>6 [6,7,2,3,4,1,8,5]=>[3,2,7,6,5,8,1,4]=>[1,2,1,2,2]=>11011010=>5 [7,6,2,3,4,8,1,5]=>[2,3,7,6,5,1,8,4]=>[3,1,1,2,1]=>10011101=>4 [8,6,2,3,4,7,1,5]=>[1,3,7,6,5,2,8,4]=>[3,1,1,2,1]=>10011101=>4 [6,3,4,8,7,5,1,2]=>[3,6,5,1,2,4,8,7]=>[2,1,4,1]=>10110001=>4 [4,8,7,3,5,6,1,2]=>[5,1,2,6,4,3,8,7]=>[1,3,1,2,1]=>11001101=>4 [4,8,7,5,3,6,1,2]=>[5,1,2,4,6,3,8,7]=>[1,4,2,1]=>11000101=>4 [5,8,7,3,4,6,1,2]=>[4,1,2,6,5,3,8,7]=>[1,3,1,2,1]=>11001101=>4 [5,8,4,2,1,6,7,3]=>[4,1,5,7,8,3,2,6]=>[1,4,1,2]=>11000110=>3 [5,8,4,1,2,6,7,3]=>[4,1,5,8,7,3,2,6]=>[1,3,1,1,2]=>11001110=>3 [5,3,7,2,6,1,8,4]=>[4,6,2,7,3,8,1,5]=>[2,2,2,2]=>10101010=>7 [5,2,8,1,6,3,7,4]=>[4,7,1,8,3,6,2,5]=>[2,2,2,2]=>10101010=>7 [5,8,2,1,4,7,6,3]=>[4,1,7,8,5,2,3,6]=>[1,3,1,3]=>11001100=>3 [4,8,2,5,1,7,6,3]=>[5,1,7,4,8,2,3,6]=>[1,2,2,3]=>11010100=>5 [7,8,4,1,2,6,5,3]=>[2,1,5,8,7,3,4,6]=>[1,3,1,3]=>11001100=>3 [4,8,1,5,2,7,6,3]=>[5,1,8,4,7,2,3,6]=>[1,2,2,3]=>11010100=>5 [5,8,1,2,4,7,6,3]=>[4,1,8,7,5,2,3,6]=>[1,2,1,1,3]=>11011100=>3 [5,2,8,3,6,7,1,4]=>[4,7,1,6,3,2,8,5]=>[2,2,1,2,1]=>10101101=>6 [3,8,7,6,2,4,1,5]=>[6,1,2,3,7,5,8,4]=>[1,4,2,1]=>11000101=>4 [2,8,7,6,4,1,3,5]=>[7,1,2,3,5,8,6,4]=>[1,5,1,1]=>11000011=>2 [7,8,2,6,5,1,3,4]=>[2,1,7,3,4,8,6,5]=>[1,2,3,1,1]=>11010011=>4 [1,8,7,6,4,2,3,5]=>[8,1,2,3,5,7,6,4]=>[1,5,1,1]=>11000011=>2 [2,8,7,6,3,1,4,5]=>[7,1,2,3,6,8,5,4]=>[1,5,1,1]=>11000011=>2 [1,8,7,6,2,4,3,5]=>[8,1,2,3,7,5,6,4]=>[1,4,2,1]=>11000101=>4 [1,8,7,6,3,4,2,5]=>[8,1,2,3,6,5,7,4]=>[1,4,2,1]=>11000101=>4 [2,8,1,4,5,6,7,3]=>[7,1,8,5,4,3,2,6]=>[1,2,1,1,1,2]=>11011110=>3 [2,1,7,3,6,5,8,4]=>[7,8,2,6,3,4,1,5]=>[2,2,2,2]=>10101010=>7 [3,1,7,2,6,5,8,4]=>[6,8,2,7,3,4,1,5]=>[2,2,2,2]=>10101010=>7 [3,2,7,1,6,5,8,4]=>[6,7,2,8,3,4,1,5]=>[2,2,2,2]=>10101010=>7 [6,1,2,8,5,7,3,4]=>[3,8,7,1,4,2,6,5]=>[2,1,2,2,1]=>10110101=>6 [6,2,1,8,5,7,3,4]=>[3,7,8,1,4,2,6,5]=>[3,2,2,1]=>10010101=>6 [6,3,1,8,5,7,2,4]=>[3,6,8,1,4,2,7,5]=>[3,2,2,1]=>10010101=>6 [6,4,2,1,7,5,8,3]=>[3,5,7,8,2,4,1,6]=>[4,2,2]=>10001010=>5 [6,1,3,8,5,2,7,4]=>[3,8,6,1,4,7,2,5]=>[2,1,3,2]=>10110010=>5 [2,3,7,1,6,8,5,4]=>[7,6,2,8,3,1,4,5]=>[1,1,2,1,3]=>11101100=>3 [1,3,7,2,6,8,5,4]=>[8,6,2,7,3,1,4,5]=>[1,1,2,1,3]=>11101100=>3 [7,8,2,6,5,3,1,4]=>[2,1,7,3,4,6,8,5]=>[1,2,4,1]=>11010001=>4 [3,2,6,7,5,8,1,4]=>[6,7,3,2,4,1,8,5]=>[2,1,2,2,1]=>10110101=>6 [1,2,7,5,6,3,8,4]=>[8,7,2,4,3,6,1,5]=>[1,1,2,2,2]=>11101010=>5 [2,8,7,6,4,3,1,5]=>[7,1,2,3,5,6,8,4]=>[1,6,1]=>11000001=>2 [3,8,7,6,1,2,5,4]=>[6,1,2,3,8,7,4,5]=>[1,4,1,2]=>11000110=>3 [3,8,7,6,2,1,5,4]=>[6,1,2,3,7,8,4,5]=>[1,5,2]=>11000010=>3 [4,8,7,6,2,1,3,5]=>[5,1,2,3,7,8,6,4]=>[1,5,1,1]=>11000011=>2 [4,8,7,6,1,3,2,5]=>[5,1,2,3,8,6,7,4]=>[1,4,2,1]=>11000101=>4 [3,8,7,6,4,1,2,5]=>[6,1,2,3,5,8,7,4]=>[1,5,1,1]=>11000011=>2 [7,8,3,6,5,1,2,4]=>[2,1,6,3,4,8,7,5]=>[1,2,3,1,1]=>11010011=>4 [2,3,7,5,6,8,1,4]=>[7,6,2,4,3,1,8,5]=>[1,1,2,1,2,1]=>11101101=>4 [3,8,7,6,4,2,1,5]=>[6,1,2,3,5,7,8,4]=>[1,6,1]=>11000001=>2 [5,1,4,6,8,2,3,7]=>[4,8,5,3,1,7,6,2]=>[2,1,1,2,1,1]=>10111011=>4 [1,7,6,3,5,4,8,2]=>[8,2,3,6,4,5,1,7]=>[1,3,2,2]=>11001010=>5 [4,3,7,2,6,5,1,8]=>[5,6,2,7,3,4,8,1]=>[2,2,3,1]=>10101001=>6 [3,4,6,1,5,7,2,8]=>[6,5,3,8,4,2,7,1]=>[1,1,2,1,2,1]=>11101101=>4 [1,6,8,5,7,3,4,2]=>[8,3,1,4,2,6,5,7]=>[1,1,2,2,2]=>11101010=>5 [2,4,1,5,8,6,3,7]=>[7,5,8,4,1,3,6,2]=>[1,2,1,3,1]=>11011001=>4 [4,6,1,2,5,8,3,7]=>[5,3,8,7,4,1,6,2]=>[1,2,1,1,2,1]=>11011101=>4 [5,6,7,2,1,4,8,3]=>[4,3,2,7,8,5,1,6]=>[1,1,3,1,2]=>11100110=>3 [7,8,6,5,1,2,4,3]=>[2,1,3,4,8,7,5,6]=>[1,4,1,2]=>11000110=>3 [1,3,6,5,7,8,2,4]=>[8,6,3,4,2,1,7,5]=>[1,1,2,1,2,1]=>11101101=>4 [7,4,8,5,3,1,6,2]=>[2,5,1,4,6,8,3,7]=>[2,4,2]=>10100010=>5 [6,8,5,2,4,1,7,3]=>[3,1,4,7,5,8,2,6]=>[1,3,2,2]=>11001010=>5 [2,3,1,6,8,5,7,4]=>[7,6,8,3,1,4,2,5]=>[1,2,1,2,2]=>11011010=>5 [7,3,2,5,1,4,8,6]=>[2,6,7,4,8,5,1,3]=>[3,2,1,2]=>10010110=>5 [7,1,4,2,3,6,8,5]=>[2,8,5,7,6,3,1,4]=>[2,2,1,1,2]=>10101110=>5 [1,5,8,3,4,6,7,2]=>[8,4,1,6,5,3,2,7]=>[1,1,2,1,1,2]=>11101110=>3 [8,3,1,2,4,7,6,5]=>[1,6,8,7,5,2,3,4]=>[3,1,1,3]=>10011100=>3 [2,3,8,1,6,5,4,7]=>[7,6,1,8,3,4,5,2]=>[1,1,2,3,1]=>11101001=>4 [8,1,4,7,2,5,3,6]=>[1,8,5,2,7,4,6,3]=>[2,1,2,2,1]=>10110101=>6 [3,5,2,4,1,7,8,6]=>[6,4,7,5,8,2,1,3]=>[1,2,2,1,2]=>11010110=>5 [3,4,7,8,6,2,1,5]=>[6,5,2,1,3,7,8,4]=>[1,1,1,4,1]=>11110001=>2 [3,4,8,6,2,7,1,5]=>[6,5,1,3,7,2,8,4]=>[1,1,3,2,1]=>11100101=>4 [5,8,2,1,6,7,3,4]=>[4,1,7,8,3,2,6,5]=>[1,3,1,2,1]=>11001101=>4 [5,7,2,8,6,4,3,1]=>[4,2,7,1,3,5,6,8]=>[1,2,5]=>11010000=>3 [6,1,2,7,5,3,8,4]=>[3,8,7,2,4,6,1,5]=>[2,1,3,2]=>10110010=>5 [7,3,2,8,6,4,1,5]=>[2,6,7,1,3,5,8,4]=>[3,4,1]=>10010001=>4 [2,7,8,4,6,3,1,5]=>[7,2,1,5,3,6,8,4]=>[1,1,2,3,1]=>11101001=>4 [1,4,5,7,2,6,8,3]=>[8,5,4,2,7,3,1,6]=>[1,1,1,2,1,2]=>11110110=>3 [7,3,5,2,6,1,8,4]=>[2,6,4,7,3,8,1,5]=>[2,2,2,2]=>10101010=>7 [8,5,2,3,6,1,7,4]=>[1,4,7,6,3,8,2,5]=>[3,1,2,2]=>10011010=>5 [8,1,6,3,5,7,2,4]=>[1,8,3,6,4,2,7,5]=>[2,2,1,2,1]=>10101101=>6 [2,8,6,4,3,7,1,5]=>[7,1,3,5,6,2,8,4]=>[1,4,2,1]=>11000101=>4 [8,3,2,6,4,7,1,5]=>[1,6,7,3,5,2,8,4]=>[3,2,2,1]=>10010101=>6 [2,3,8,7,6,5,1,4]=>[7,6,1,2,3,4,8,5]=>[1,1,5,1]=>11100001=>2 [1,2,8,7,3,6,5,4]=>[8,7,1,2,6,3,4,5]=>[1,1,3,3]=>11100100=>3 [4,2,8,7,3,6,1,5]=>[5,7,1,2,6,3,8,4]=>[2,3,2,1]=>10100101=>6 [4,5,8,7,1,2,6,3]=>[5,4,1,2,8,7,3,6]=>[1,1,3,1,2]=>11100110=>3 [1,5,8,7,3,2,6,4]=>[8,4,1,2,6,7,3,5]=>[1,1,4,2]=>11100010=>3 [4,5,8,7,3,2,1,6]=>[5,4,1,2,6,7,8,3]=>[1,1,5,1]=>11100001=>2 [2,6,8,1,7,5,4,3]=>[7,3,1,8,2,4,5,6]=>[1,1,2,4]=>11101000=>3 [3,6,8,4,7,2,1,5]=>[6,3,1,5,2,7,8,4]=>[1,1,2,3,1]=>11101001=>4 [2,5,8,3,7,6,1,4]=>[7,4,1,6,2,3,8,5]=>[1,1,2,3,1]=>11101001=>4 [3,2,8,4,7,6,1,5]=>[6,7,1,5,2,3,8,4]=>[2,2,3,1]=>10101001=>6 [1,5,8,3,7,2,6,4]=>[8,4,1,6,2,7,3,5]=>[1,1,2,2,2]=>11101010=>5 [3,5,8,4,7,2,1,6]=>[6,4,1,5,2,7,8,3]=>[1,1,2,3,1]=>11101001=>4 [5,6,8,2,3,7,1,4]=>[4,3,1,7,6,2,8,5]=>[1,1,2,1,2,1]=>11101101=>4 [1,6,8,4,2,7,5,3]=>[8,3,1,5,7,2,4,6]=>[1,1,3,3]=>11100100=>3 [1,5,8,4,2,7,6,3]=>[8,4,1,5,7,2,3,6]=>[1,1,3,3]=>11100100=>3 [1,5,8,2,3,7,6,4]=>[8,4,1,7,6,2,3,5]=>[1,1,2,1,3]=>11101100=>3 [2,1,8,4,3,7,6,5]=>[7,8,1,5,6,2,3,4]=>[2,3,3]=>10100100=>5 [2,5,8,4,3,7,1,6]=>[7,4,1,5,6,2,8,3]=>[1,1,3,2,1]=>11100101=>4 [5,6,8,4,1,2,7,3]=>[4,3,1,5,8,7,2,6]=>[1,1,3,1,2]=>11100110=>3 [5,6,8,1,3,2,7,4]=>[4,3,1,8,6,7,2,5]=>[1,1,2,2,2]=>11101010=>5 [1,6,8,4,3,2,7,5]=>[8,3,1,5,6,7,2,4]=>[1,1,4,2]=>11100010=>3 [5,6,8,4,3,2,1,7]=>[4,3,1,5,6,7,8,2]=>[1,1,5,1]=>11100001=>2 [7,1,2,8,6,5,4,3]=>[2,8,7,1,3,4,5,6]=>[2,1,5]=>10110000=>3 [7,1,4,8,6,2,5,3]=>[2,8,5,1,3,7,4,6]=>[2,1,3,2]=>10110010=>5 [7,3,1,8,6,2,5,4]=>[2,6,8,1,3,7,4,5]=>[3,3,2]=>10010010=>5 [7,2,4,8,3,6,1,5]=>[2,7,5,1,6,3,8,4]=>[2,1,2,2,1]=>10110101=>6 [7,1,4,8,3,2,6,5]=>[2,8,5,1,6,7,3,4]=>[2,1,3,2]=>10110010=>5 [7,4,5,8,3,2,1,6]=>[2,5,4,1,6,7,8,3]=>[2,1,4,1]=>10110001=>4 [1,6,2,8,7,5,4,3]=>[8,3,7,1,2,4,5,6]=>[1,2,5]=>11010000=>3 [1,6,4,8,7,2,5,3]=>[8,3,5,1,2,7,4,6]=>[1,2,3,2]=>11010010=>5 [3,6,4,8,7,2,1,5]=>[6,3,5,1,2,7,8,4]=>[1,2,4,1]=>11010001=>4 [3,2,5,8,7,6,1,4]=>[6,7,4,1,2,3,8,5]=>[2,1,4,1]=>10110001=>4 [3,2,4,8,7,6,1,5]=>[6,7,5,1,2,3,8,4]=>[2,1,4,1]=>10110001=>4 [3,1,5,8,7,2,6,4]=>[6,8,4,1,2,7,3,5]=>[2,1,3,2]=>10110010=>5 [3,1,4,8,7,2,6,5]=>[6,8,5,1,2,7,3,4]=>[2,1,3,2]=>10110010=>5 [1,6,4,8,2,7,5,3]=>[8,3,5,1,7,2,4,6]=>[1,2,2,3]=>11010100=>5 [1,4,5,8,2,7,6,3]=>[8,5,4,1,7,2,3,6]=>[1,1,1,2,3]=>11110100=>3 [2,4,5,8,3,7,1,6]=>[7,5,4,1,6,2,8,3]=>[1,1,1,2,2,1]=>11110101=>4 [4,6,5,8,1,2,7,3]=>[5,3,4,1,8,7,2,6]=>[1,2,2,1,2]=>11010110=>5 [1,6,4,8,3,2,7,5]=>[8,3,5,1,6,7,2,4]=>[1,2,3,2]=>11010010=>5 [1,4,5,8,3,2,7,6]=>[8,5,4,1,6,7,2,3]=>[1,1,1,3,2]=>11110010=>3 [7,6,1,4,8,2,5,3]=>[2,3,8,5,1,7,4,6]=>[3,1,2,2]=>10011010=>5 [7,6,1,3,8,2,5,4]=>[2,3,8,6,1,7,4,5]=>[3,1,2,2]=>10011010=>5 [7,6,3,4,8,2,1,5]=>[2,3,6,5,1,7,8,4]=>[3,1,3,1]=>10011001=>4 [7,2,5,1,8,6,4,3]=>[2,7,4,8,1,3,5,6]=>[2,2,4]=>10101000=>5 [7,2,5,3,8,6,1,4]=>[2,7,4,6,1,3,8,5]=>[2,2,3,1]=>10101001=>6 [7,2,1,4,8,6,5,3]=>[2,7,8,5,1,3,4,6]=>[3,1,4]=>10011000=>3 [7,2,1,3,8,6,5,4]=>[2,7,8,6,1,3,4,5]=>[3,1,4]=>10011000=>3 [7,2,3,4,8,6,1,5]=>[2,7,6,5,1,3,8,4]=>[2,1,1,3,1]=>10111001=>4 [7,3,5,4,8,2,1,6]=>[2,6,4,5,1,7,8,3]=>[2,2,3,1]=>10101001=>6 [2,6,5,1,8,7,4,3]=>[7,3,4,8,1,2,5,6]=>[1,3,4]=>11001000=>3 [2,3,5,4,8,7,1,6]=>[7,6,4,5,1,2,8,3]=>[1,1,2,3,1]=>11101001=>4 [1,6,5,4,8,2,7,3]=>[8,3,4,5,1,7,2,6]=>[1,3,2,2]=>11001010=>5 [1,6,5,3,8,2,7,4]=>[8,3,4,6,1,7,2,5]=>[1,3,2,2]=>11001010=>5 [1,6,3,4,8,2,7,5]=>[8,3,6,5,1,7,2,4]=>[1,2,1,2,2]=>11011010=>5 [1,3,5,4,8,2,7,6]=>[8,6,4,5,1,7,2,3]=>[1,1,2,2,2]=>11101010=>5 [3,6,5,4,8,2,1,7]=>[6,3,4,5,1,7,8,2]=>[1,3,3,1]=>11001001=>4 [7,6,5,2,3,8,1,4]=>[2,3,4,7,6,1,8,5]=>[4,1,2,1]=>10001101=>4 [7,6,1,4,2,8,5,3]=>[2,3,8,5,7,1,4,6]=>[3,2,3]=>10010100=>5 [7,6,1,2,3,8,5,4]=>[2,3,8,7,6,1,4,5]=>[3,1,1,3]=>10011100=>3 [7,6,2,4,3,8,1,5]=>[2,3,7,5,6,1,8,4]=>[3,2,2,1]=>10010101=>6 [7,1,5,4,2,8,6,3]=>[2,8,4,5,7,1,3,6]=>[2,3,3]=>10100100=>5 [7,1,2,4,3,8,6,5]=>[2,8,7,5,6,1,3,4]=>[2,1,2,3]=>10110100=>5 [2,6,5,4,3,8,1,7]=>[7,3,4,5,6,1,8,2]=>[1,4,2,1]=>11000101=>4 [7,6,1,4,3,2,8,5]=>[2,3,8,5,6,7,1,4]=>[3,3,2]=>10010010=>5 [7,1,5,4,3,2,8,6]=>[2,8,4,5,6,7,1,3]=>[2,4,2]=>10100010=>5 [3,1,4,2,6,8,7,5]=>[6,8,5,7,3,1,2,4]=>[2,2,1,3]=>10101100=>5 [8,3,4,2,6,1,7,5]=>[1,6,5,7,3,8,2,4]=>[2,2,2,2]=>10101010=>7 [4,7,1,2,8,5,3,6]=>[5,2,8,7,1,4,6,3]=>[1,2,1,3,1]=>11011001=>4 [4,8,1,2,7,5,3,6]=>[5,1,8,7,2,4,6,3]=>[1,2,1,3,1]=>11011001=>4 [2,1,6,3,7,5,4,8]=>[7,8,3,6,2,4,5,1]=>[2,2,3,1]=>10101001=>6 [2,7,1,3,6,8,4,5]=>[7,2,8,6,3,1,5,4]=>[1,2,1,1,2,1]=>11011101=>4 [6,7,3,2,8,1,4,5]=>[3,2,6,7,1,8,5,4]=>[1,3,2,1,1]=>11001011=>4 [7,3,4,2,6,1,8,5]=>[2,6,5,7,3,8,1,4]=>[2,2,2,2]=>10101010=>7 [8,7,4,2,1,5,3,6]=>[1,2,5,7,8,4,6,3]=>[5,2,1]=>10000101=>4 [7,4,3,1,5,6,8,2]=>[2,5,6,8,4,3,1,7]=>[4,1,1,2]=>10001110=>3 [6,7,4,1,5,8,3,2]=>[3,2,5,8,4,1,6,7]=>[1,3,1,3]=>11001100=>3 [4,7,5,1,6,8,3,2]=>[5,2,4,8,3,1,6,7]=>[1,3,1,3]=>11001100=>3 [4,5,3,1,7,6,8,2]=>[5,4,6,8,2,3,1,7]=>[1,3,2,2]=>11001010=>5 [4,6,1,2,7,5,3,8]=>[5,3,8,7,2,4,6,1]=>[1,2,1,3,1]=>11011001=>4 [2,7,1,3,6,5,4,8]=>[7,2,8,6,3,4,5,1]=>[1,2,1,3,1]=>11011001=>4 [4,1,8,2,6,5,3,7]=>[5,8,1,7,3,4,6,2]=>[2,2,3,1]=>10101001=>6 [8,4,3,1,5,6,7,2]=>[1,5,6,8,4,3,2,7]=>[4,1,1,2]=>10001110=>3 [4,5,3,1,8,6,7,2]=>[5,4,6,8,1,3,2,7]=>[1,3,2,2]=>11001010=>5 [8,5,3,4,1,6,7,2]=>[1,4,6,5,8,3,2,7]=>[3,2,1,2]=>10010110=>5 [6,4,8,2,1,5,3,7]=>[3,5,1,7,8,4,6,2]=>[2,3,2,1]=>10100101=>6 [6,8,3,2,5,1,4,7]=>[3,1,6,7,4,8,5,2]=>[1,3,2,1,1]=>11001011=>4 [5,7,1,4,6,8,3,2]=>[4,2,8,5,3,1,6,7]=>[1,2,1,1,3]=>11011100=>3 [6,7,5,4,1,8,3,2]=>[3,2,4,5,8,1,6,7]=>[1,4,3]=>11000100=>3 [7,6,4,2,1,5,3,8]=>[2,3,5,7,8,4,6,1]=>[5,2,1]=>10000101=>4 [8,2,7,6,5,4,1,3]=>[1,7,2,3,4,5,8,6]=>[2,5,1]=>10100001=>4 [7,2,8,6,5,4,3,1]=>[2,7,1,3,4,5,6,8]=>[2,6]=>10100000=>3 [8,1,9,7,6,5,4,3,2]=>[2,9,1,3,4,5,6,7,8]=>[2,7]=>101000000=>3 [9,2,8,7,6,5,4,1,3]=>[1,8,2,3,4,5,6,9,7]=>[2,6,1]=>101000001=>4 [3,9,8,7,6,5,4,1,2]=>[7,1,2,3,4,5,6,9,8]=>[1,7,1]=>110000001=>2 [8,7,2,6,5,4,1,3]=>[1,2,7,3,4,5,8,6]=>[3,4,1]=>10010001=>4 [3,2,8,7,6,5,1,4]=>[6,7,1,2,3,4,8,5]=>[2,5,1]=>10100001=>4 [4,8,7,6,5,3,1,2]=>[5,1,2,3,4,6,8,7]=>[1,6,1]=>11000001=>2 [7,8,6,1,5,4,3,2]=>[2,1,3,8,4,5,6,7]=>[1,3,4]=>11001000=>3 [8,9,1,7,6,5,4,3,2]=>[2,1,9,3,4,5,6,7,8]=>[1,2,6]=>110100000=>3 [7,3,8,6,5,4,2,1]=>[2,6,1,3,4,5,7,8]=>[2,6]=>10100000=>3 [8,2,9,7,6,5,4,3,1]=>[2,8,1,3,4,5,6,7,9]=>[2,7]=>101000000=>3 [4,8,5,7,6,3,2,1]=>[5,1,4,2,3,6,7,8]=>[1,2,5]=>11010000=>3 [3,8,7,4,6,5,2,1]=>[6,1,2,5,3,4,7,8]=>[1,3,4]=>11001000=>3 [2,8,7,6,3,5,4,1]=>[7,1,2,3,6,4,5,8]=>[1,4,3]=>11000100=>3 [8,5,6,1,3,2,4,7]=>[1,4,3,8,6,7,5,2]=>[2,2,2,1,1]=>10101011=>6 [8,6,1,5,3,2,4,7]=>[1,3,8,4,6,7,5,2]=>[3,3,1,1]=>10010011=>4 [7,8,1,5,3,2,4,6]=>[2,1,8,4,6,7,5,3]=>[1,2,3,1,1]=>11010011=>4 [8,1,7,5,3,2,4,6]=>[1,8,2,4,6,7,5,3]=>[2,4,1,1]=>10100011=>4 [8,6,1,4,5,2,3,7]=>[1,3,8,5,4,7,6,2]=>[3,1,2,1,1]=>10011011=>4 [8,6,3,1,5,2,4,7]=>[1,3,6,8,4,7,5,2]=>[4,2,1,1]=>10001011=>4 [8,4,6,1,5,2,3,7]=>[1,5,3,8,4,7,6,2]=>[2,2,2,1,1]=>10101011=>6 [8,6,2,1,5,4,3,7]=>[1,3,7,8,4,5,6,2]=>[4,3,1]=>10001001=>4 [8,5,2,6,1,4,3,7]=>[1,4,7,3,8,5,6,2]=>[3,2,2,1]=>10010101=>6 [8,5,2,1,7,4,3,6]=>[1,4,7,8,2,5,6,3]=>[4,3,1]=>10001001=>4 [7,8,2,1,5,4,3,6]=>[2,1,7,8,4,5,6,3]=>[1,3,3,1]=>11001001=>4 [7,8,3,1,5,2,4,6]=>[2,1,6,8,4,7,5,3]=>[1,3,2,1,1]=>11001011=>4 [8,2,7,5,1,3,4,6]=>[1,7,2,4,8,6,5,3]=>[2,3,1,1,1]=>10100111=>4 [8,4,1,7,5,2,3,6]=>[1,5,8,2,4,7,6,3]=>[3,3,1,1]=>10010011=>4 [8,2,7,1,5,4,3,6]=>[1,7,2,8,4,5,6,3]=>[2,2,3,1]=>10101001=>6 [8,2,6,1,7,4,3,5]=>[1,7,3,8,2,5,6,4]=>[2,2,3,1]=>10101001=>6 [8,1,7,4,3,2,6,5]=>[1,8,2,5,6,7,3,4]=>[2,4,2]=>10100010=>5 [8,1,5,7,3,2,6,4]=>[1,8,4,2,6,7,3,5]=>[2,1,3,2]=>10110010=>5 [5,7,8,1,3,2,6,4]=>[4,2,1,8,6,7,3,5]=>[1,1,2,2,2]=>11101010=>5 [8,2,6,1,5,7,3,4]=>[1,7,3,8,4,2,6,5]=>[2,2,1,2,1]=>10101101=>6 [5,8,1,6,7,2,3,4]=>[4,1,8,3,2,7,6,5]=>[1,2,1,2,1,1]=>11011011=>4 [5,7,6,1,8,2,3,4]=>[4,2,3,8,1,7,6,5]=>[1,3,2,1,1]=>11001011=>4 [6,7,2,5,1,8,3,4]=>[3,2,7,4,8,1,6,5]=>[1,2,2,2,1]=>11010101=>6 [7,5,1,6,8,2,3,4]=>[2,4,8,3,1,7,6,5]=>[3,1,2,1,1]=>10011011=>4 [6,5,7,1,8,2,3,4]=>[3,4,2,8,1,7,6,5]=>[2,2,2,1,1]=>10101011=>6 [6,7,3,8,1,2,4,5]=>[3,2,6,1,8,7,5,4]=>[1,2,2,1,1,1]=>11010111=>4 [7,5,4,1,8,2,3,6]=>[2,4,5,8,1,7,6,3]=>[4,2,1,1]=>10001011=>4 [7,6,1,4,8,2,3,5]=>[2,3,8,5,1,7,6,4]=>[3,1,2,1,1]=>10011011=>4 [8,1,6,4,7,2,3,5]=>[1,8,3,5,2,7,6,4]=>[2,2,2,1,1]=>10101011=>6 [7,5,8,1,3,2,4,6]=>[2,4,1,8,6,7,5,3]=>[2,2,2,1,1]=>10101011=>6 [7,8,4,1,3,2,5,6]=>[2,1,5,8,6,7,4,3]=>[1,3,2,1,1]=>11001011=>4 [8,3,7,4,1,2,5,6]=>[1,6,2,5,8,7,4,3]=>[2,3,1,1,1]=>10100111=>4 [8,5,1,7,3,2,4,6]=>[1,4,8,2,6,7,5,3]=>[3,3,1,1]=>10010011=>4 [6,8,1,7,3,2,4,5]=>[3,1,8,2,6,7,5,4]=>[1,2,3,1,1]=>11010011=>4 [7,1,8,4,3,6,2,5]=>[2,8,1,5,6,3,7,4]=>[2,3,2,1]=>10100101=>6 [7,3,1,8,6,4,2,5]=>[2,6,8,1,3,5,7,4]=>[3,4,1]=>10010001=>4 [8,3,1,7,4,6,2,5]=>[1,6,8,2,5,3,7,4]=>[3,2,2,1]=>10010101=>6 [8,4,5,1,7,2,3,6]=>[1,5,4,8,2,7,6,3]=>[2,2,2,1,1]=>10101011=>6 [5,6,8,1,7,2,3,4]=>[4,3,1,8,2,7,6,5]=>[1,1,2,2,1,1]=>11101011=>4 [6,5,8,1,2,7,3,4]=>[3,4,1,8,7,2,6,5]=>[2,2,1,2,1]=>10101101=>6 [7,3,1,8,5,6,2,4]=>[2,6,8,1,4,3,7,5]=>[3,2,2,1]=>10010101=>6 [6,2,7,8,3,1,5,4]=>[3,7,2,1,6,8,4,5]=>[2,1,3,2]=>10110010=>5 [5,8,1,7,3,2,6,4]=>[4,1,8,2,6,7,3,5]=>[1,2,3,2]=>11010010=>5 [8,4,1,7,3,2,6,5]=>[1,5,8,2,6,7,3,4]=>[3,3,2]=>10010010=>5 [8,3,4,7,1,2,6,5]=>[1,6,5,2,8,7,3,4]=>[2,1,2,1,2]=>10110110=>5 [8,2,7,4,1,3,6,5]=>[1,7,2,5,8,6,3,4]=>[2,3,1,2]=>10100110=>5 [7,4,8,2,1,3,6,5]=>[2,5,1,7,8,6,3,4]=>[2,3,1,2]=>10100110=>5 [7,4,3,8,1,2,6,5]=>[2,5,6,1,8,7,3,4]=>[3,2,1,2]=>10010110=>5 [8,2,3,6,7,1,5,4]=>[1,7,6,3,2,8,4,5]=>[2,1,1,2,2]=>10111010=>5 [2,6,8,7,1,5,4,3]=>[7,3,1,2,8,4,5,6]=>[1,1,3,3]=>11100100=>3 [7,8,5,2,3,6,4,1]=>[2,1,4,7,6,3,5,8]=>[1,3,1,3]=>11001100=>3 [6,8,5,2,3,4,7,1]=>[3,1,4,7,6,5,2,8]=>[1,3,1,1,2]=>11001110=>3 [3,5,2,6,8,1,4,7]=>[6,4,7,3,1,8,5,2]=>[1,2,1,2,1,1]=>11011011=>4 [3,5,2,4,6,8,1,7]=>[6,4,7,5,3,1,8,2]=>[1,2,1,1,2,1]=>11011101=>4 [2,4,5,7,3,6,8,1]=>[7,5,4,2,6,3,1,8]=>[1,1,1,2,1,2]=>11110110=>3 [2,4,5,3,6,8,1,7]=>[7,5,4,6,3,1,8,2]=>[1,1,2,1,2,1]=>11101101=>4 [5,2,4,6,8,1,3,7]=>[4,7,5,3,1,8,6,2]=>[2,1,1,2,1,1]=>10111011=>4 [5,1,3,4,6,8,2,7]=>[4,8,6,5,3,1,7,2]=>[2,1,1,1,2,1]=>10111101=>4 [4,3,5,2,6,8,1,7]=>[5,6,4,7,3,1,8,2]=>[2,2,1,2,1]=>10101101=>6 [4,3,5,7,2,8,1,6]=>[5,6,4,2,7,1,8,3]=>[2,1,2,2,1]=>10110101=>6 [4,3,5,7,2,6,8,1]=>[5,6,4,2,7,3,1,8]=>[2,1,2,1,2]=>10110110=>5 [4,6,3,7,2,5,8,1]=>[5,3,6,2,7,4,1,8]=>[1,2,2,1,2]=>11010110=>5 [4,6,3,1,7,8,2,5]=>[5,3,6,8,2,1,7,4]=>[1,3,1,2,1]=>11001101=>4 [4,3,5,1,7,8,2,6]=>[5,6,4,8,2,1,7,3]=>[2,2,1,2,1]=>10101101=>6 [5,7,1,3,4,8,2,6]=>[4,2,8,6,5,1,7,3]=>[1,2,1,1,2,1]=>11011101=>4 [5,7,1,3,4,6,8,2]=>[4,2,8,6,5,3,1,7]=>[1,2,1,1,1,2]=>11011110=>3 [4,5,7,1,3,6,8,2]=>[5,4,2,8,6,3,1,7]=>[1,1,2,1,1,2]=>11101110=>3 [4,3,6,7,1,5,8,2]=>[5,6,3,2,8,4,1,7]=>[2,1,2,1,2]=>10110110=>5 [4,6,3,5,1,7,8,2]=>[5,3,6,4,8,2,1,7]=>[1,2,2,1,2]=>11010110=>5 [4,6,3,5,7,2,8,1]=>[5,3,6,4,2,7,1,8]=>[1,2,1,2,2]=>11011010=>5 [3,5,6,4,1,7,8,2]=>[6,4,3,5,8,2,1,7]=>[1,1,3,1,2]=>11100110=>3 [3,1,5,6,7,4,8,2]=>[6,8,4,3,2,5,1,7]=>[2,1,1,2,2]=>10111010=>5 [5,1,6,7,3,4,8,2]=>[4,8,3,2,6,5,1,7]=>[2,1,2,1,2]=>10110110=>5 [6,4,7,1,3,5,8,2]=>[3,5,2,8,6,4,1,7]=>[2,2,1,1,2]=>10101110=>5 [1,6,7,3,4,5,8,2]=>[8,3,2,6,5,4,1,7]=>[1,1,2,1,1,2]=>11101110=>3 [2,6,7,4,5,8,1,3]=>[7,3,2,5,4,1,8,6]=>[1,1,2,1,2,1]=>11101101=>4 [2,6,7,4,8,1,3,5]=>[7,3,2,5,1,8,6,4]=>[1,1,2,2,1,1]=>11101011=>4 [5,3,6,1,2,7,8,4]=>[4,6,3,8,7,2,1,5]=>[2,2,1,1,2]=>10101110=>5 [3,5,2,6,1,7,8,4]=>[6,4,7,3,8,2,1,5]=>[1,2,2,1,2]=>11010110=>5 [3,5,2,6,7,4,8,1]=>[6,4,7,3,2,5,1,8]=>[1,2,1,2,2]=>11011010=>5 [5,2,3,6,7,4,8,1]=>[4,7,6,3,2,5,1,8]=>[2,1,1,2,2]=>10111010=>5 [5,2,3,6,1,7,8,4]=>[4,7,6,3,8,2,1,5]=>[2,1,2,1,2]=>10110110=>5 [5,2,6,1,3,7,8,4]=>[4,7,3,8,6,2,1,5]=>[2,2,1,1,2]=>10101110=>5 [4,2,6,7,3,5,8,1]=>[5,7,3,2,6,4,1,8]=>[2,1,2,1,2]=>10110110=>5 [6,3,7,2,4,5,8,1]=>[3,6,2,7,5,4,1,8]=>[2,2,1,1,2]=>10101110=>5 [3,5,7,2,8,1,4,6]=>[6,4,2,7,1,8,5,3]=>[1,1,2,2,1,1]=>11101011=>4 [3,7,2,4,8,1,5,6]=>[6,2,7,5,1,8,4,3]=>[1,2,1,2,1,1]=>11011011=>4 [7,2,4,6,8,1,3,5]=>[2,7,5,3,1,8,6,4]=>[2,1,1,2,1,1]=>10111011=>4 [7,1,3,4,6,8,2,5]=>[2,8,6,5,3,1,7,4]=>[2,1,1,1,2,1]=>10111101=>4 [3,7,2,4,6,8,1,5]=>[6,2,7,5,3,1,8,4]=>[1,2,1,1,2,1]=>11011101=>4 [3,5,7,2,6,8,1,4]=>[6,4,2,7,3,1,8,5]=>[1,1,2,1,2,1]=>11101101=>4 [6,3,7,2,5,8,1,4]=>[3,6,2,7,4,1,8,5]=>[2,2,1,2,1]=>10101101=>6 [6,3,5,7,2,8,1,4]=>[3,6,4,2,7,1,8,5]=>[2,1,2,2,1]=>10110101=>6 [6,3,5,7,2,4,8,1]=>[3,6,4,2,7,5,1,8]=>[2,1,2,1,2]=>10110110=>5 [6,2,4,5,7,3,8,1]=>[3,7,5,4,2,6,1,8]=>[2,1,1,2,2]=>10111010=>5 [6,2,4,5,1,7,8,3]=>[3,7,5,4,8,2,1,6]=>[2,1,2,1,2]=>10110110=>5 [4,7,1,2,5,6,8,3]=>[5,2,8,7,4,3,1,6]=>[1,2,1,1,1,2]=>11011110=>3 [2,6,7,5,8,1,3,4]=>[7,3,2,4,1,8,6,5]=>[1,1,2,2,1,1]=>11101011=>4 [4,6,7,1,2,5,8,3]=>[5,3,2,8,7,4,1,6]=>[1,1,2,1,1,2]=>11101110=>3 [5,6,2,4,7,3,8,1]=>[4,3,7,5,2,6,1,8]=>[1,2,1,2,2]=>11011010=>5 [5,4,2,6,7,3,8,1]=>[4,5,7,3,2,6,1,8]=>[3,1,2,2]=>10011010=>5 [5,4,2,6,1,7,8,3]=>[4,5,7,3,8,2,1,6]=>[3,2,1,2]=>10010110=>5 [1,5,4,6,2,7,8,3]=>[8,4,5,3,7,2,1,6]=>[1,2,2,1,2]=>11010110=>5 [5,6,4,1,2,7,8,3]=>[4,3,5,8,7,2,1,6]=>[1,3,1,1,2]=>11001110=>3 [6,4,5,1,2,7,8,3]=>[3,5,4,8,7,2,1,6]=>[2,2,1,1,2]=>10101110=>5 [6,3,5,1,7,8,2,4]=>[3,6,4,8,2,1,7,5]=>[2,2,1,2,1]=>10101101=>6 [6,5,7,2,8,1,3,4]=>[3,4,2,7,1,8,6,5]=>[2,2,2,1,1]=>10101011=>6 [6,5,7,1,3,4,8,2]=>[3,4,2,8,6,5,1,7]=>[2,2,1,1,2]=>10101110=>5 [5,6,4,7,1,3,8,2]=>[4,3,5,2,8,6,1,7]=>[1,2,2,1,2]=>11010110=>5 [5,4,6,3,1,7,8,2]=>[4,5,3,6,8,2,1,7]=>[2,3,1,2]=>10100110=>5 [7,5,3,2,4,8,1,6]=>[2,4,6,7,5,1,8,3]=>[4,1,2,1]=>10001101=>4 [8,4,5,2,6,1,3,7]=>[1,5,4,7,3,8,6,2]=>[2,2,2,1,1]=>10101011=>6 [8,5,4,2,1,6,3,7]=>[1,4,5,7,8,3,6,2]=>[5,2,1]=>10000101=>4 [8,5,3,4,1,6,2,7]=>[1,4,6,5,8,3,7,2]=>[3,2,2,1]=>10010101=>6 [8,4,5,3,1,6,2,7]=>[1,5,4,6,8,3,7,2]=>[2,3,2,1]=>10100101=>6 [7,5,4,2,1,8,3,6]=>[2,4,5,7,8,1,6,3]=>[5,2,1]=>10000101=>4 [7,5,4,2,1,6,8,3]=>[2,4,5,7,8,3,1,6]=>[5,1,2]=>10000110=>3 [7,4,5,3,1,6,8,2]=>[2,5,4,6,8,3,1,7]=>[2,3,1,2]=>10100110=>5 [7,4,3,5,6,1,8,2]=>[2,5,6,4,3,8,1,7]=>[3,1,2,2]=>10011010=>5 [5,6,3,7,4,1,8,2]=>[4,3,6,2,5,8,1,7]=>[1,2,3,2]=>11010010=>5 [5,6,7,3,1,4,8,2]=>[4,3,2,6,8,5,1,7]=>[1,1,3,1,2]=>11100110=>3 [6,7,3,4,1,5,8,2]=>[3,2,6,5,8,4,1,7]=>[1,2,2,1,2]=>11010110=>5 [6,7,4,2,1,5,8,3]=>[3,2,5,7,8,4,1,6]=>[1,4,1,2]=>11000110=>3 [5,6,7,3,1,8,2,4]=>[4,3,2,6,8,1,7,5]=>[1,1,3,2,1]=>11100101=>4 [5,6,3,7,8,1,2,4]=>[4,3,6,2,1,8,7,5]=>[1,2,1,2,1,1]=>11011011=>4 [5,6,3,7,2,4,8,1]=>[4,3,6,2,7,5,1,8]=>[1,2,2,1,2]=>11010110=>5 [5,6,7,2,3,8,1,4]=>[4,3,2,7,6,1,8,5]=>[1,1,2,1,2,1]=>11101101=>4 [7,4,5,2,8,1,3,6]=>[2,5,4,7,1,8,6,3]=>[2,2,2,1,1]=>10101011=>6 [6,7,3,2,4,8,1,5]=>[3,2,6,7,5,1,8,4]=>[1,3,1,2,1]=>11001101=>4 [7,6,4,2,1,3,8,5]=>[2,3,5,7,8,6,1,4]=>[5,1,2]=>10000110=>3 [7,6,3,4,1,2,8,5]=>[2,3,6,5,8,7,1,4]=>[3,2,1,2]=>10010110=>5 [7,6,3,2,4,1,8,5]=>[2,3,6,7,5,8,1,4]=>[4,2,2]=>10001010=>5 [6,7,3,2,5,1,8,4]=>[3,2,6,7,4,8,1,5]=>[1,3,2,2]=>11001010=>5 [6,5,3,2,7,8,1,4]=>[3,4,6,7,2,1,8,5]=>[4,1,2,1]=>10001101=>4 [6,5,3,2,7,4,8,1]=>[3,4,6,7,2,5,1,8]=>[4,2,2]=>10001010=>5 [6,4,5,2,7,3,8,1]=>[3,5,4,7,2,6,1,8]=>[2,2,2,2]=>10101010=>7 [6,4,5,2,7,8,1,3]=>[3,5,4,7,2,1,8,6]=>[2,2,1,2,1]=>10101101=>6 [7,4,5,2,6,1,8,3]=>[2,5,4,7,3,8,1,6]=>[2,2,2,2]=>10101010=>7 [7,4,5,6,1,2,8,3]=>[2,5,4,3,8,7,1,6]=>[2,1,2,1,2]=>10110110=>5 [7,5,6,2,1,3,8,4]=>[2,4,3,7,8,6,1,5]=>[2,3,1,2]=>10100110=>5 [6,7,3,5,1,2,8,4]=>[3,2,6,4,8,7,1,5]=>[1,2,2,1,2]=>11010110=>5 [5,6,7,4,1,2,8,3]=>[4,3,2,5,8,7,1,6]=>[1,1,3,1,2]=>11100110=>3 [5,6,7,2,4,1,8,3]=>[4,3,2,7,5,8,1,6]=>[1,1,2,2,2]=>11101010=>5 [5,6,4,2,7,8,1,3]=>[4,3,5,7,2,1,8,6]=>[1,3,1,2,1]=>11001101=>4 [6,5,7,2,1,8,3,4]=>[3,4,2,7,8,1,6,5]=>[2,3,2,1]=>10100101=>6 [6,5,7,2,1,4,8,3]=>[3,4,2,7,8,5,1,6]=>[2,3,1,2]=>10100110=>5 [5,4,6,7,3,1,8,2]=>[4,5,3,2,6,8,1,7]=>[2,1,3,2]=>10110010=>5 [5,7,8,3,6,4,1,2]=>[4,2,1,6,3,5,8,7]=>[1,1,2,3,1]=>11101001=>4 [3,7,8,5,6,4,1,2]=>[6,2,1,4,3,5,8,7]=>[1,1,2,3,1]=>11101001=>4 [3,7,8,5,6,1,4,2]=>[6,2,1,4,3,8,5,7]=>[1,1,2,2,2]=>11101010=>5 [1,7,8,5,6,3,4,2]=>[8,2,1,4,3,6,5,7]=>[1,1,2,2,2]=>11101010=>5 [1,7,5,8,6,3,4,2]=>[8,2,4,1,3,6,5,7]=>[1,2,3,2]=>11010010=>5 [3,7,5,8,6,1,4,2]=>[6,2,4,1,3,8,5,7]=>[1,2,3,2]=>11010010=>5 [3,7,5,8,6,4,1,2]=>[6,2,4,1,3,5,8,7]=>[1,2,4,1]=>11010001=>4 [5,7,3,8,6,4,1,2]=>[4,2,6,1,3,5,8,7]=>[1,2,4,1]=>11010001=>4 [7,3,8,5,6,4,1,2]=>[2,6,1,4,3,5,8,7]=>[2,2,3,1]=>10101001=>6 [7,3,5,8,6,4,1,2]=>[2,6,4,1,3,5,8,7]=>[2,1,4,1]=>10110001=>4 [3,5,7,8,6,4,1,2]=>[6,4,2,1,3,5,8,7]=>[1,1,1,4,1]=>11110001=>2 [1,5,7,8,6,3,4,2]=>[8,4,2,1,3,6,5,7]=>[1,1,1,3,2]=>11110010=>3 [1,5,7,8,3,6,4,2]=>[8,4,2,1,6,3,5,7]=>[1,1,1,2,3]=>11110100=>3 [3,5,7,8,1,6,4,2]=>[6,4,2,1,8,3,5,7]=>[1,1,1,2,3]=>11110100=>3 [5,3,7,8,1,6,4,2]=>[4,6,2,1,8,3,5,7]=>[2,1,2,3]=>10110100=>5 [7,3,5,8,6,1,4,2]=>[2,6,4,1,3,8,5,7]=>[2,1,3,2]=>10110010=>5 [7,3,8,5,6,1,4,2]=>[2,6,1,4,3,8,5,7]=>[2,2,2,2]=>10101010=>7 [7,8,1,5,6,3,4,2]=>[2,1,8,4,3,6,5,7]=>[1,2,1,2,2]=>11011010=>5 [7,1,8,5,6,3,4,2]=>[2,8,1,4,3,6,5,7]=>[2,2,2,2]=>10101010=>7 [7,1,5,8,6,3,4,2]=>[2,8,4,1,3,6,5,7]=>[2,1,3,2]=>10110010=>5 [5,1,7,8,3,6,4,2]=>[4,8,2,1,6,3,5,7]=>[2,1,2,3]=>10110100=>5 [3,1,7,8,5,6,4,2]=>[6,8,2,1,4,3,5,7]=>[2,1,2,3]=>10110100=>5 [1,3,7,8,5,6,4,2]=>[8,6,2,1,4,3,5,7]=>[1,1,1,2,3]=>11110100=>3 [3,1,7,5,8,6,4,2]=>[6,8,2,4,1,3,5,7]=>[2,2,4]=>10101000=>5 [5,1,7,3,8,6,4,2]=>[4,8,2,6,1,3,5,7]=>[2,2,4]=>10101000=>5 [7,1,5,3,8,6,4,2]=>[2,8,4,6,1,3,5,7]=>[2,2,4]=>10101000=>5 [7,1,5,8,3,6,4,2]=>[2,8,4,1,6,3,5,7]=>[2,1,2,3]=>10110100=>5 [7,8,1,5,3,6,4,2]=>[2,1,8,4,6,3,5,7]=>[1,2,2,3]=>11010100=>5 [7,8,3,5,1,6,4,2]=>[2,1,6,4,8,3,5,7]=>[1,2,2,3]=>11010100=>5 [7,3,5,8,1,6,4,2]=>[2,6,4,1,8,3,5,7]=>[2,1,2,3]=>10110100=>5 [5,3,7,1,8,6,4,2]=>[4,6,2,8,1,3,5,7]=>[2,2,4]=>10101000=>5 [3,5,7,1,8,6,4,2]=>[6,4,2,8,1,3,5,7]=>[1,1,2,4]=>11101000=>3 [1,7,5,3,8,6,4,2]=>[8,2,4,6,1,3,5,7]=>[1,3,4]=>11001000=>3 [5,7,3,1,8,6,4,2]=>[4,2,6,8,1,3,5,7]=>[1,3,4]=>11001000=>3 [5,7,3,8,6,1,4,2]=>[4,2,6,1,3,8,5,7]=>[1,2,3,2]=>11010010=>5 [3,7,5,8,1,6,4,2]=>[6,2,4,1,8,3,5,7]=>[1,2,2,3]=>11010100=>5 [1,7,5,8,3,6,4,2]=>[8,2,4,1,6,3,5,7]=>[1,2,2,3]=>11010100=>5 [1,7,8,5,3,6,4,2]=>[8,2,1,4,6,3,5,7]=>[1,1,3,3]=>11100100=>3 [3,7,8,5,1,6,4,2]=>[6,2,1,4,8,3,5,7]=>[1,1,3,3]=>11100100=>3 [5,7,8,3,6,1,4,2]=>[4,2,1,6,3,8,5,7]=>[1,1,2,2,2]=>11101010=>5 [5,7,8,6,3,1,4,2]=>[4,2,1,3,6,8,5,7]=>[1,1,4,2]=>11100010=>3 [7,5,8,6,1,3,4,2]=>[2,4,1,3,8,6,5,7]=>[2,3,1,2]=>10100110=>5 [5,7,8,1,6,3,4,2]=>[4,2,1,8,3,6,5,7]=>[1,1,2,2,2]=>11101010=>5 [5,7,8,1,3,6,4,2]=>[4,2,1,8,6,3,5,7]=>[1,1,2,1,3]=>11101100=>3 [3,7,8,1,5,6,4,2]=>[6,2,1,8,4,3,5,7]=>[1,1,2,1,3]=>11101100=>3 [1,7,8,3,5,6,4,2]=>[8,2,1,6,4,3,5,7]=>[1,1,2,1,3]=>11101100=>3 [1,7,3,8,5,6,4,2]=>[8,2,6,1,4,3,5,7]=>[1,2,2,3]=>11010100=>5 [3,7,1,8,5,6,4,2]=>[6,2,8,1,4,3,5,7]=>[1,2,2,3]=>11010100=>5 [5,7,1,8,3,6,4,2]=>[4,2,8,1,6,3,5,7]=>[1,2,2,3]=>11010100=>5 [5,7,1,8,6,3,4,2]=>[4,2,8,1,3,6,5,7]=>[1,2,3,2]=>11010010=>5 [7,5,1,8,6,3,4,2]=>[2,4,8,1,3,6,5,7]=>[3,3,2]=>10010010=>5 [7,5,8,1,6,3,4,2]=>[2,4,1,8,3,6,5,7]=>[2,2,2,2]=>10101010=>7 [7,8,5,1,6,3,4,2]=>[2,1,4,8,3,6,5,7]=>[1,3,2,2]=>11001010=>5 [7,8,5,1,3,6,4,2]=>[2,1,4,8,6,3,5,7]=>[1,3,1,3]=>11001100=>3 [7,5,8,1,3,6,4,2]=>[2,4,1,8,6,3,5,7]=>[2,2,1,3]=>10101100=>5 [7,5,1,8,3,6,4,2]=>[2,4,8,1,6,3,5,7]=>[3,2,3]=>10010100=>5 [7,5,1,3,8,6,4,2]=>[2,4,8,6,1,3,5,7]=>[3,1,4]=>10011000=>3 [5,7,1,3,8,6,4,2]=>[4,2,8,6,1,3,5,7]=>[1,2,1,4]=>11011000=>3 [3,7,1,5,8,6,4,2]=>[6,2,8,4,1,3,5,7]=>[1,2,1,4]=>11011000=>3 [1,7,3,5,8,6,4,2]=>[8,2,6,4,1,3,5,7]=>[1,2,1,4]=>11011000=>3 [1,5,3,7,8,6,4,2]=>[8,4,6,2,1,3,5,7]=>[1,2,1,4]=>11011000=>3 [3,5,1,7,8,6,4,2]=>[6,4,8,2,1,3,5,7]=>[1,2,1,4]=>11011000=>3 [5,3,1,7,8,6,4,2]=>[4,6,8,2,1,3,5,7]=>[3,1,4]=>10011000=>3 [7,3,1,5,8,6,4,2]=>[2,6,8,4,1,3,5,7]=>[3,1,4]=>10011000=>3 [7,3,1,8,5,6,4,2]=>[2,6,8,1,4,3,5,7]=>[3,2,3]=>10010100=>5 [7,3,8,1,5,6,4,2]=>[2,6,1,8,4,3,5,7]=>[2,2,1,3]=>10101100=>5 [7,8,3,1,5,6,4,2]=>[2,1,6,8,4,3,5,7]=>[1,3,1,3]=>11001100=>3 [7,8,1,3,5,6,4,2]=>[2,1,8,6,4,3,5,7]=>[1,2,1,1,3]=>11011100=>3 [7,1,8,3,5,6,4,2]=>[2,8,1,6,4,3,5,7]=>[2,2,1,3]=>10101100=>5 [7,1,3,8,5,6,4,2]=>[2,8,6,1,4,3,5,7]=>[2,1,2,3]=>10110100=>5 [7,1,3,5,8,6,4,2]=>[2,8,6,4,1,3,5,7]=>[2,1,1,4]=>10111000=>3 [3,1,5,7,8,6,4,2]=>[6,8,4,2,1,3,5,7]=>[2,1,1,4]=>10111000=>3 [5,7,3,4,6,8,1,2]=>[4,2,6,5,3,1,8,7]=>[1,2,1,1,2,1]=>11011101=>4 [5,7,3,4,8,6,1,2]=>[4,2,6,5,1,3,8,7]=>[1,2,1,3,1]=>11011001=>4 [5,7,3,4,8,1,6,2]=>[4,2,6,5,1,8,3,7]=>[1,2,1,2,2]=>11011010=>5 [5,7,3,4,1,8,6,2]=>[4,2,6,5,8,1,3,7]=>[1,2,2,3]=>11010100=>5 [5,7,3,4,1,6,8,2]=>[4,2,6,5,8,3,1,7]=>[1,2,2,1,2]=>11010110=>5 [5,7,3,4,6,1,2,8]=>[4,2,6,5,3,8,7,1]=>[1,2,1,2,1,1]=>11011011=>4 [7,3,5,6,1,2,8,4]=>[2,6,4,3,8,7,1,5]=>[2,1,2,1,2]=>10110110=>5 [5,7,3,1,4,6,2,8]=>[4,2,6,8,5,3,7,1]=>[1,3,1,2,1]=>11001101=>4 [5,7,3,1,4,6,8,2]=>[4,2,6,8,5,3,1,7]=>[1,3,1,1,2]=>11001110=>3 [5,7,3,1,4,8,6,2]=>[4,2,6,8,5,1,3,7]=>[1,3,1,3]=>11001100=>3 [5,7,3,1,4,8,2,6]=>[4,2,6,8,5,1,7,3]=>[1,3,1,2,1]=>11001101=>4 [5,3,7,4,1,2,8,6]=>[4,6,2,5,8,7,1,3]=>[2,3,1,2]=>10100110=>5 [5,3,7,4,1,2,6,8]=>[4,6,2,5,8,7,3,1]=>[2,3,1,1,1]=>10100111=>4 [5,3,7,1,4,2,6,8]=>[4,6,2,8,5,7,3,1]=>[2,2,2,1,1]=>10101011=>6 [5,3,7,1,4,2,8,6]=>[4,6,2,8,5,7,1,3]=>[2,2,2,2]=>10101010=>7 [3,7,5,1,2,8,6,4]=>[6,2,4,8,7,1,3,5]=>[1,3,1,3]=>11001100=>3 [7,8,3,5,1,2,6,4]=>[2,1,6,4,8,7,3,5]=>[1,2,2,1,2]=>11010110=>5 [7,3,8,5,1,2,6,4]=>[2,6,1,4,8,7,3,5]=>[2,3,1,2]=>10100110=>5 [7,3,5,8,1,2,6,4]=>[2,6,4,1,8,7,3,5]=>[2,1,2,1,2]=>10110110=>5 [3,7,5,1,2,6,4,8]=>[6,2,4,8,7,3,5,1]=>[1,3,1,2,1]=>11001101=>4 [3,7,5,1,2,6,8,4]=>[6,2,4,8,7,3,1,5]=>[1,3,1,1,2]=>11001110=>3 [6,1,4,3,5,2,8,7]=>[3,8,5,6,4,7,1,2]=>[2,2,2,2]=>10101010=>7 [2,5,7,3,8,4,1,6]=>[7,4,2,6,1,5,8,3]=>[1,1,2,3,1]=>11101001=>4 [5,4,7,8,6,1,3,2]=>[4,5,2,1,3,8,6,7]=>[2,1,3,2]=>10110010=>5 [7,5,6,2,8,3,1,4]=>[2,4,3,7,1,6,8,5]=>[2,2,3,1]=>10101001=>6 [4,7,2,5,8,3,1,6]=>[5,2,7,4,1,6,8,3]=>[1,2,1,3,1]=>11011001=>4 [6,2,4,5,1,3,8,7]=>[3,7,5,4,8,6,1,2]=>[2,1,2,1,2]=>10110110=>5 [5,1,4,6,3,2,8,7]=>[4,8,5,3,6,7,1,2]=>[2,1,3,2]=>10110010=>5 [3,5,6,2,4,1,8,7]=>[6,4,3,7,5,8,1,2]=>[1,1,2,2,2]=>11101010=>5 [3,8,6,7,5,4,1,2]=>[6,1,3,2,4,5,8,7]=>[1,2,4,1]=>11010001=>4 [6,2,7,8,3,4,1,5]=>[3,7,2,1,6,5,8,4]=>[2,1,2,2,1]=>10110101=>6 [2,5,3,4,8,1,7,6]=>[7,4,6,5,1,8,2,3]=>[1,2,1,2,2]=>11011010=>5 [8,7,1,2,5,3,4,6]=>[1,2,8,7,4,6,5,3]=>[3,1,2,1,1]=>10011011=>4 [5,1,8,2,3,4,7,6]=>[4,8,1,7,6,5,2,3]=>[2,2,1,1,2]=>10101110=>5 [5,4,7,6,2,8,1,3]=>[4,5,2,3,7,1,8,6]=>[2,3,2,1]=>10100101=>6 [3,7,8,1,5,4,6,2]=>[6,2,1,8,4,5,3,7]=>[1,1,2,2,2]=>11101010=>5 [7,1,3,4,6,8,5,2]=>[2,8,6,5,3,1,4,7]=>[2,1,1,1,3]=>10111100=>3 [8,3,6,5,7,1,4,2]=>[1,6,3,4,2,8,5,7]=>[2,2,2,2]=>10101010=>7 [5,8,7,1,4,6,2,3]=>[4,1,2,8,5,3,7,6]=>[1,3,1,2,1]=>11001101=>4 [4,7,6,1,8,3,5,2]=>[5,2,3,8,1,6,4,7]=>[1,3,2,2]=>11001010=>5 [4,7,2,6,3,8,5,1]=>[5,2,7,3,6,1,4,8]=>[1,2,2,3]=>11010100=>5 [2,1,8,4,6,7,3,5]=>[7,8,1,5,3,2,6,4]=>[2,2,1,2,1]=>10101101=>6 [4,7,8,6,3,1,2,5]=>[5,2,1,3,6,8,7,4]=>[1,1,4,1,1]=>11100011=>2 [3,8,1,5,6,7,2,4]=>[6,1,8,4,3,2,7,5]=>[1,2,1,1,2,1]=>11011101=>4 [6,7,2,4,8,5,3,1]=>[3,2,7,5,1,4,6,8]=>[1,2,1,4]=>11011000=>3 [2,8,3,6,7,5,1,4]=>[7,1,6,3,2,4,8,5]=>[1,2,1,3,1]=>11011001=>4 [8,2,1,7,6,3,5,4]=>[1,7,8,2,3,6,4,5]=>[3,3,2]=>10010010=>5 [3,2,4,5,8,1,7,6]=>[6,7,5,4,1,8,2,3]=>[2,1,1,2,2]=>10111010=>5 [7,4,6,3,2,1,8,5]=>[2,5,3,6,7,8,1,4]=>[2,4,2]=>10100010=>5 [4,7,3,2,1,8,6,5]=>[5,2,6,7,8,1,3,4]=>[1,4,3]=>11000100=>3 [6,4,7,5,2,3,8,1]=>[3,5,2,4,7,6,1,8]=>[2,3,1,2]=>10100110=>5 [6,4,8,1,7,3,2,5]=>[3,5,1,8,2,6,7,4]=>[2,2,3,1]=>10101001=>6 [4,8,7,2,3,1,5,6]=>[5,1,2,7,6,8,4,3]=>[1,3,2,1,1]=>11001011=>4 [4,2,3,1,8,7,5,6]=>[5,7,6,8,1,2,4,3]=>[2,2,3,1]=>10101001=>6 [7,6,8,1,3,5,2,4]=>[2,3,1,8,6,4,7,5]=>[2,2,1,2,1]=>10101101=>6 [6,7,5,2,3,1,8,4]=>[3,2,4,7,6,8,1,5]=>[1,3,2,2]=>11001010=>5 [4,7,2,6,5,1,8,3]=>[5,2,7,3,4,8,1,6]=>[1,2,3,2]=>11010010=>5 [6,4,2,1,8,5,7,3]=>[3,5,7,8,1,4,2,6]=>[4,2,2]=>10001010=>5 [7,2,1,5,6,8,4,3]=>[2,7,8,4,3,1,5,6]=>[3,1,1,3]=>10011100=>3 [8,7,2,6,4,1,5,3]=>[1,2,7,3,5,8,4,6]=>[3,3,2]=>10010010=>5 [6,7,8,2,5,3,1,4]=>[3,2,1,7,4,6,8,5]=>[1,1,2,3,1]=>11101001=>4 [2,1,7,3,6,8,5,4]=>[7,8,2,6,3,1,4,5]=>[2,2,1,3]=>10101100=>5 [2,1,5,7,8,4,6,3]=>[7,8,4,2,1,5,3,6]=>[2,1,1,2,2]=>10111010=>5 [2,5,7,8,3,6,1,4]=>[7,4,2,1,6,3,8,5]=>[1,1,1,2,2,1]=>11110101=>4 [6,4,1,5,7,2,8,3]=>[3,5,8,4,2,7,1,6]=>[3,1,2,2]=>10011010=>5 [7,4,8,1,2,5,6,3]=>[2,5,1,8,7,4,3,6]=>[2,2,1,1,2]=>10101110=>5 [4,2,7,8,6,3,5,1]=>[5,7,2,1,3,6,4,8]=>[2,1,3,2]=>10110010=>5 [6,1,7,4,3,2,8,5]=>[3,8,2,5,6,7,1,4]=>[2,4,2]=>10100010=>5 [6,8,3,4,2,1,7,5]=>[3,1,6,5,7,8,2,4]=>[1,2,3,2]=>11010010=>5 [4,2,6,1,5,7,8,3]=>[5,7,3,8,4,2,1,6]=>[2,2,1,1,2]=>10101110=>5 [2,4,6,7,3,5,8,1]=>[7,5,3,2,6,4,1,8]=>[1,1,1,2,1,2]=>11110110=>3 [6,5,8,3,7,4,1,2]=>[3,4,1,6,2,5,8,7]=>[2,2,3,1]=>10101001=>6 [7,1,4,8,3,5,6,2]=>[2,8,5,1,6,4,3,7]=>[2,1,2,1,2]=>10110110=>5 [6,8,7,5,3,4,1,2]=>[3,1,2,4,6,5,8,7]=>[1,4,2,1]=>11000101=>4 [4,8,6,3,1,5,7,2]=>[5,1,3,6,8,4,2,7]=>[1,4,1,2]=>11000110=>3 [3,4,8,2,5,7,6,1]=>[6,5,1,7,4,2,3,8]=>[1,1,2,1,3]=>11101100=>3 [3,6,8,7,2,5,1,4]=>[6,3,1,2,7,4,8,5]=>[1,1,3,2,1]=>11100101=>4 [3,5,7,2,8,6,1,4]=>[6,4,2,7,1,3,8,5]=>[1,1,2,3,1]=>11101001=>4 [2,5,7,4,8,6,1,3]=>[7,4,2,5,1,3,8,6]=>[1,1,2,3,1]=>11101001=>4 [2,6,3,7,5,1,8,4]=>[7,3,6,2,4,8,1,5]=>[1,2,3,2]=>11010010=>5 [2,6,4,8,7,5,1,3]=>[7,3,5,1,2,4,8,6]=>[1,2,4,1]=>11010001=>4 [6,3,7,2,8,5,1,4]=>[3,6,2,7,1,4,8,5]=>[2,2,3,1]=>10101001=>6 [3,6,2,5,8,7,1,4]=>[6,3,7,4,1,2,8,5]=>[1,2,1,3,1]=>11011001=>4 [5,2,8,4,7,6,1,3]=>[4,7,1,5,2,3,8,6]=>[2,2,3,1]=>10101001=>6 [7,2,4,8,6,5,1,3]=>[2,7,5,1,3,4,8,6]=>[2,1,4,1]=>10110001=>4 [6,2,4,8,7,5,1,3]=>[3,7,5,1,2,4,8,6]=>[2,1,4,1]=>10110001=>4 [2,4,5,8,7,6,1,3]=>[7,5,4,1,2,3,8,6]=>[1,1,1,4,1]=>11110001=>2 [2,3,5,7,6,1,8,4]=>[7,6,4,2,3,8,1,5]=>[1,1,1,3,2]=>11110010=>3 [1,3,4,6,2,8,7,5]=>[8,6,5,3,7,1,2,4]=>[1,1,1,2,3]=>11110100=>3 [5,2,3,6,1,8,7,4]=>[4,7,6,3,8,1,2,5]=>[2,1,2,3]=>10110100=>5 [4,2,7,3,8,1,6,5]=>[5,7,2,6,1,8,3,4]=>[2,2,2,2]=>10101010=>7 [2,5,1,4,7,3,8,6]=>[7,4,8,5,2,6,1,3]=>[1,2,1,2,2]=>11011010=>5 [6,1,3,8,7,2,5,4]=>[3,8,6,1,2,7,4,5]=>[2,1,3,2]=>10110010=>5 [3,1,5,6,2,8,7,4]=>[6,8,4,3,7,1,2,5]=>[2,1,2,3]=>10110100=>5 [1,2,4,6,3,8,7,5]=>[8,7,5,3,6,1,2,4]=>[1,1,1,2,3]=>11110100=>3 [4,1,5,2,8,7,6,3]=>[5,8,4,7,1,2,3,6]=>[2,2,4]=>10101000=>5 [7,1,4,2,8,6,5,3]=>[2,8,5,7,1,3,4,6]=>[2,2,4]=>10101000=>5 [5,1,3,7,2,8,6,4]=>[4,8,6,2,7,1,3,5]=>[2,1,2,3]=>10110100=>5 [3,6,2,4,1,8,7,5]=>[6,3,7,5,8,1,2,4]=>[1,2,2,3]=>11010100=>5 [7,2,3,5,1,8,6,4]=>[2,7,6,4,8,1,3,5]=>[2,1,2,3]=>10110100=>5 [7,3,4,1,8,6,5,2]=>[2,6,5,8,1,3,4,7]=>[2,2,4]=>10101000=>5 [6,3,4,1,8,7,5,2]=>[3,6,5,8,1,2,4,7]=>[2,2,4]=>10101000=>5 [3,4,5,1,8,7,6,2]=>[6,5,4,8,1,2,3,7]=>[1,1,2,4]=>11101000=>3 [1,4,5,2,8,7,6,3]=>[8,5,4,7,1,2,3,6]=>[1,1,2,4]=>11101000=>3 [1,6,4,2,8,7,5,3]=>[8,3,5,7,1,2,4,6]=>[1,3,4]=>11001000=>3 [7,4,2,5,1,8,6,3]=>[2,5,7,4,8,1,3,6]=>[3,2,3]=>10010100=>5 [5,3,6,2,8,1,7,4]=>[4,6,3,7,1,8,2,5]=>[2,2,2,2]=>10101010=>7 [4,6,2,7,5,1,8,3]=>[5,3,7,2,4,8,1,6]=>[1,2,3,2]=>11010010=>5 [4,5,2,6,1,8,7,3]=>[5,4,7,3,8,1,2,6]=>[1,2,2,3]=>11010100=>5 [1,5,3,6,2,8,7,4]=>[8,4,6,3,7,1,2,5]=>[1,2,2,3]=>11010100=>5 [1,5,8,3,2,7,6,4]=>[8,4,1,6,7,2,3,5]=>[1,1,3,3]=>11100100=>3 [2,5,8,3,1,7,6,4]=>[7,4,1,6,8,2,3,5]=>[1,1,3,3]=>11100100=>3 [4,5,8,2,1,7,6,3]=>[5,4,1,7,8,2,3,6]=>[1,1,3,3]=>11100100=>3 [3,6,2,5,1,4,8,7]=>[6,3,7,4,8,5,1,2]=>[1,2,2,1,2]=>11010110=>5 [5,2,8,4,1,3,7,6]=>[4,7,1,5,8,6,2,3]=>[2,3,1,2]=>10100110=>5 [2,4,8,7,1,3,6,5]=>[7,5,1,2,8,6,3,4]=>[1,1,3,1,2]=>11100110=>3 [2,5,8,1,3,7,6,4]=>[7,4,1,8,6,2,3,5]=>[1,1,2,1,3]=>11101100=>3 [2,3,8,1,4,7,6,5]=>[7,6,1,8,5,2,3,4]=>[1,1,2,1,3]=>11101100=>3 [1,3,8,2,4,7,6,5]=>[8,6,1,7,5,2,3,4]=>[1,1,2,1,3]=>11101100=>3 [3,5,2,1,7,4,8,6]=>[6,4,7,8,2,5,1,3]=>[1,3,2,2]=>11001010=>5 [6,3,1,7,2,8,5,4]=>[3,6,8,2,7,1,4,5]=>[3,2,3]=>10010100=>5 [7,5,1,2,8,6,4,3]=>[2,4,8,7,1,3,5,6]=>[3,1,4]=>10011000=>3 [4,6,1,2,8,7,5,3]=>[5,3,8,7,1,2,4,6]=>[1,2,1,4]=>11011000=>3 [1,6,2,3,8,7,5,4]=>[8,3,7,6,1,2,4,5]=>[1,2,1,4]=>11011000=>3 [1,5,2,3,8,7,6,4]=>[8,4,7,6,1,2,3,5]=>[1,2,1,4]=>11011000=>3 [4,5,1,2,8,7,6,3]=>[5,4,8,7,1,2,3,6]=>[1,2,1,4]=>11011000=>3 [6,4,1,2,8,7,5,3]=>[3,5,8,7,1,2,4,6]=>[3,1,4]=>10011000=>3 [7,4,1,2,8,6,5,3]=>[2,5,8,7,1,3,4,6]=>[3,1,4]=>10011000=>3 [5,3,1,7,2,8,6,4]=>[4,6,8,2,7,1,3,5]=>[3,2,3]=>10010100=>5 [5,2,8,1,3,7,6,4]=>[4,7,1,8,6,2,3,5]=>[2,2,1,3]=>10101100=>5 [4,1,2,8,3,7,6,5]=>[5,8,7,1,6,2,3,4]=>[2,1,2,3]=>10110100=>5 [4,7,5,6,8,3,1,2]=>[5,2,4,3,1,6,8,7]=>[1,2,1,3,1]=>11011001=>4 [8,6,4,7,5,3,1,2]=>[1,3,5,2,4,6,8,7]=>[3,4,1]=>10010001=>4 [7,5,2,6,4,1,3,8]=>[2,4,7,3,5,8,6,1]=>[3,3,1,1]=>10010011=>4 [1,6,3,7,5,8,4,2]=>[8,3,6,2,4,1,5,7]=>[1,2,2,3]=>11010100=>5 [1,3,7,4,5,8,6,2]=>[8,6,2,5,4,1,3,7]=>[1,1,2,1,3]=>11101100=>3 [7,2,6,3,4,1,5,8]=>[2,7,3,6,5,8,4,1]=>[2,2,2,1,1]=>10101011=>6 [8,3,7,4,6,5,1,2]=>[1,6,2,5,3,4,8,7]=>[2,2,3,1]=>10101001=>6 [6,8,4,7,5,3,1,2]=>[3,1,5,2,4,6,8,7]=>[1,2,4,1]=>11010001=>4 [4,8,7,5,6,3,1,2]=>[5,1,2,4,3,6,8,7]=>[1,3,3,1]=>11001001=>4 [3,8,7,6,4,5,1,2]=>[6,1,2,3,5,4,8,7]=>[1,4,2,1]=>11000101=>4 [1,6,5,2,8,3,7,4]=>[8,3,4,7,1,6,2,5]=>[1,3,2,2]=>11001010=>5 [8,6,5,2,1,4,3,7]=>[1,3,4,7,8,5,6,2]=>[5,2,1]=>10000101=>4 [2,7,6,3,1,4,5,8]=>[7,2,3,6,8,5,4,1]=>[1,4,1,1,1]=>11000111=>2 [6,8,5,3,2,1,4,7]=>[3,1,4,6,7,8,5,2]=>[1,5,1,1]=>11000011=>2 [2,7,6,4,5,1,3,8]=>[7,2,3,5,4,8,6,1]=>[1,3,2,1,1]=>11001011=>4 [5,7,2,6,4,1,3,8]=>[4,2,7,3,5,8,6,1]=>[1,2,3,1,1]=>11010011=>4 [6,1,3,7,5,8,4,2]=>[3,8,6,2,4,1,5,7]=>[2,1,2,3]=>10110100=>5 [4,1,7,3,6,8,5,2]=>[5,8,2,6,3,1,4,7]=>[2,2,1,3]=>10101100=>5 [8,1,6,4,3,7,5,2]=>[1,8,3,5,6,2,4,7]=>[2,3,3]=>10100100=>5 [2,1,7,4,8,6,3,5]=>[7,8,2,5,1,3,6,4]=>[2,2,3,1]=>10101001=>6 [1,8,6,3,7,5,4,2]=>[8,1,3,6,2,4,5,7]=>[1,3,4]=>11001000=>3 [1,8,2,7,3,6,5,4]=>[8,1,7,2,6,3,4,5]=>[1,2,2,3]=>11010100=>5 [6,2,8,7,1,4,3,5]=>[3,7,1,2,8,5,6,4]=>[2,3,2,1]=>10100101=>6 [8,7,2,1,5,4,3,6]=>[1,2,7,8,4,5,6,3]=>[4,3,1]=>10001001=>4 [8,2,3,1,4,6,5,7]=>[1,7,6,8,5,3,4,2]=>[2,2,1,2,1]=>10101101=>6 [2,4,8,3,1,5,6,7]=>[7,5,1,6,8,4,3,2]=>[1,1,3,1,1,1]=>11100111=>2 [3,4,2,7,1,5,6,8]=>[6,5,7,2,8,4,3,1]=>[1,2,2,1,1,1]=>11010111=>4 [4,7,3,8,2,1,5,6]=>[5,2,6,1,7,8,4,3]=>[1,2,3,1,1]=>11010011=>4 [5,2,7,3,1,4,6,8]=>[4,7,2,6,8,5,3,1]=>[2,3,1,1,1]=>10100111=>4 [8,3,7,2,1,5,4,6]=>[1,6,2,7,8,4,5,3]=>[2,3,2,1]=>10100101=>6 [1,3,7,2,8,4,6,5]=>[8,6,2,7,1,5,3,4]=>[1,1,2,2,2]=>11101010=>5 [6,5,3,8,2,1,4,7]=>[3,4,6,1,7,8,5,2]=>[3,3,1,1]=>10010011=>4 [2,6,4,5,7,1,3,8]=>[7,3,5,4,2,8,6,1]=>[1,2,1,2,1,1]=>11011011=>4 [5,4,6,2,7,1,3,8]=>[4,5,3,7,2,8,6,1]=>[2,2,2,1,1]=>10101011=>6 [7,6,3,1,8,4,5,2]=>[2,3,6,8,1,5,4,7]=>[4,2,2]=>10001010=>5 [7,6,2,1,8,5,3,4]=>[2,3,7,8,1,4,6,5]=>[4,3,1]=>10001001=>4 [1,7,5,8,6,4,3,2]=>[8,2,4,1,3,5,6,7]=>[1,2,5]=>11010000=>3 [6,5,1,2,8,3,7,4]=>[3,4,8,7,1,6,2,5]=>[3,1,2,2]=>10011010=>5 [8,6,1,4,3,7,5,2]=>[1,3,8,5,6,2,4,7]=>[3,2,3]=>10010100=>5 [6,8,4,1,3,7,5,2]=>[3,1,5,8,6,2,4,7]=>[1,3,1,3]=>11001100=>3 [6,5,7,1,3,8,4,2]=>[3,4,2,8,6,1,5,7]=>[2,2,1,3]=>10101100=>5 [5,8,3,1,7,4,6,2]=>[4,1,6,8,2,5,3,7]=>[1,3,2,2]=>11001010=>5 [8,3,1,7,5,4,6,2]=>[1,6,8,2,4,5,3,7]=>[3,3,2]=>10010010=>5 [1,3,8,7,4,6,5,2]=>[8,6,1,2,5,3,4,7]=>[1,1,3,3]=>11100100=>3 [1,2,8,7,6,3,5,4]=>[8,7,1,2,3,6,4,5]=>[1,1,4,2]=>11100010=>3 [8,2,1,7,6,4,3,5]=>[1,7,8,2,3,5,6,4]=>[3,4,1]=>10010001=>4 [2,3,1,8,7,4,5,6]=>[7,6,8,1,2,5,4,3]=>[1,2,3,1,1]=>11010011=>4 [2,4,1,8,5,7,3,6]=>[7,5,8,1,4,2,6,3]=>[1,2,2,2,1]=>11010101=>6 [5,8,2,1,7,6,3,4]=>[4,1,7,8,2,3,6,5]=>[1,3,3,1]=>11001001=>4 [8,7,1,6,5,4,3,2]=>[1,2,8,3,4,5,6,7]=>[3,5]=>10010000=>3 [7,1,8,3,6,5,4,2]=>[2,8,1,6,3,4,5,7]=>[2,2,4]=>10101000=>5 [4,1,8,7,5,6,3,2]=>[5,8,1,2,4,3,6,7]=>[2,3,3]=>10100100=>5 [8,1,2,3,4,5,9,6,7]=>[2,9,8,7,6,5,1,4,3]=>[2,1,1,1,1,2,1]=>101111101=>4 [8,1,2,3,4,9,5,6,7]=>[2,9,8,7,6,1,5,4,3]=>[2,1,1,1,2,1,1]=>101111011=>4 [8,1,2,9,3,4,5,6,7]=>[2,9,8,1,7,6,5,4,3]=>[2,1,2,1,1,1,1]=>101101111=>4 [8,1,9,2,3,4,5,6,7]=>[2,9,1,8,7,6,5,4,3]=>[2,2,1,1,1,1,1]=>101011111=>4 [6,1,2,3,4,5,8,9,7]=>[4,9,8,7,6,5,2,1,3]=>[2,1,1,1,1,1,2]=>101111110=>3 [5,1,2,3,4,8,9,6,7]=>[5,9,8,7,6,2,1,4,3]=>[2,1,1,1,1,2,1]=>101111101=>4 [4,1,2,3,8,9,5,6,7]=>[6,9,8,7,2,1,5,4,3]=>[2,1,1,1,2,1,1]=>101111011=>4 [3,1,2,8,9,4,5,6,7]=>[7,9,8,2,1,6,5,4,3]=>[2,1,1,2,1,1,1]=>101110111=>4 [2,1,8,9,3,4,5,6,7]=>[8,9,2,1,7,6,5,4,3]=>[2,1,2,1,1,1,1]=>101101111=>4 [2,1,7,8,4,6,3,5]=>[7,8,2,1,5,3,6,4]=>[2,1,2,2,1]=>10110101=>6 [3,5,8,7,2,6,4,1]=>[6,4,1,2,7,3,5,8]=>[1,1,3,3]=>11100100=>3 [5,8,2,7,1,6,4,3]=>[4,1,7,2,8,3,5,6]=>[1,2,2,3]=>11010100=>5 [2,1,6,4,5,8,3,7]=>[7,8,3,5,4,1,6,2]=>[2,2,1,2,1]=>10101101=>6 [8,6,3,7,5,2,1,4]=>[1,3,6,2,4,7,8,5]=>[3,4,1]=>10010001=>4 [4,6,3,8,5,2,1,7]=>[5,3,6,1,4,7,8,2]=>[1,2,4,1]=>11010001=>4 [4,6,3,7,5,2,8,1]=>[5,3,6,2,4,7,1,8]=>[1,2,3,2]=>11010010=>5 [3,5,7,8,2,6,1,4]=>[6,4,2,1,7,3,8,5]=>[1,1,1,2,2,1]=>11110101=>4 [5,6,2,4,1,3,8,7]=>[4,3,7,5,8,6,1,2]=>[1,2,2,1,2]=>11010110=>5 [7,6,3,8,5,2,4,1]=>[2,3,6,1,4,7,5,8]=>[3,3,2]=>10010010=>5 [8,2,3,4,6,1,5,7]=>[1,7,6,5,3,8,4,2]=>[2,1,1,2,1,1]=>10111011=>4 [7,2,3,4,6,1,8,5]=>[2,7,6,5,3,8,1,4]=>[2,1,1,2,2]=>10111010=>5 [8,2,3,4,7,5,1,6]=>[1,7,6,5,2,4,8,3]=>[2,1,1,3,1]=>10111001=>4 [7,2,3,4,6,8,5,1]=>[2,7,6,5,3,1,4,8]=>[2,1,1,1,3]=>10111100=>3 [7,8,3,6,5,1,4,2]=>[2,1,6,3,4,8,5,7]=>[1,2,3,2]=>11010010=>5 [4,2,3,6,1,5,8,7]=>[5,7,6,3,8,4,1,2]=>[2,1,2,1,2]=>10110110=>5 [4,8,3,7,5,1,6,2]=>[5,1,6,2,4,8,3,7]=>[1,2,3,2]=>11010010=>5 [5,2,3,4,7,8,6,1]=>[4,7,6,5,2,1,3,8]=>[2,1,1,1,3]=>10111100=>3 [8,2,3,4,7,1,6,5]=>[1,7,6,5,2,8,3,4]=>[2,1,1,2,2]=>10111010=>5 [5,2,3,4,8,7,1,6]=>[4,7,6,5,1,2,8,3]=>[2,1,1,3,1]=>10111001=>4 [5,2,3,4,6,8,1,7]=>[4,7,6,5,3,1,8,2]=>[2,1,1,1,2,1]=>10111101=>4 [4,2,8,5,7,6,1,3]=>[5,7,1,4,2,3,8,6]=>[2,2,3,1]=>10101001=>6 [3,7,6,4,5,1,8,2]=>[6,2,3,5,4,8,1,7]=>[1,3,2,2]=>11001010=>5 [3,8,6,4,5,1,2,7]=>[6,1,3,5,4,8,7,2]=>[1,3,2,1,1]=>11001011=>4 [4,7,3,6,5,8,2,1]=>[5,2,6,3,4,1,7,8]=>[1,2,2,3]=>11010100=>5 [4,8,3,7,5,2,1,6]=>[5,1,6,2,4,7,8,3]=>[1,2,4,1]=>11010001=>4 [8,7,3,6,5,1,2,4]=>[1,2,6,3,4,8,7,5]=>[3,3,1,1]=>10010011=>4 [8,2,7,5,1,6,3,4]=>[1,7,2,4,8,3,6,5]=>[2,3,2,1]=>10100101=>6 [4,2,7,5,8,6,3,1]=>[5,7,2,4,1,3,6,8]=>[2,2,4]=>10101000=>5 [5,8,1,7,3,6,4,2]=>[4,1,8,2,6,3,5,7]=>[1,2,2,3]=>11010100=>5 [5,2,7,8,4,6,3,1]=>[4,7,2,1,5,3,6,8]=>[2,1,2,3]=>10110100=>5 [5,2,8,3,7,6,1,4]=>[4,7,1,6,2,3,8,5]=>[2,2,3,1]=>10101001=>6 [8,2,7,3,1,6,4,5]=>[1,7,2,6,8,3,5,4]=>[2,3,2,1]=>10100101=>6 [6,8,3,2,5,7,1,4]=>[3,1,6,7,4,2,8,5]=>[1,3,1,2,1]=>11001101=>4 [6,7,3,8,5,4,2,1]=>[3,2,6,1,4,5,7,8]=>[1,2,5]=>11010000=>3 [6,2,3,4,7,5,8,1]=>[3,7,6,5,2,4,1,8]=>[2,1,1,2,2]=>10111010=>5 [6,2,3,4,8,5,1,7]=>[3,7,6,5,1,4,8,2]=>[2,1,1,3,1]=>10111001=>4 [8,2,3,4,1,7,5,6]=>[1,7,6,5,8,2,4,3]=>[2,1,2,2,1]=>10110101=>6 [6,2,3,4,1,8,5,7]=>[3,7,6,5,8,1,4,2]=>[2,1,2,2,1]=>10110101=>6 [6,2,3,4,8,7,5,1]=>[3,7,6,5,1,2,4,8]=>[2,1,1,4]=>10111000=>3 [6,8,3,1,5,7,4,2]=>[3,1,6,8,4,2,5,7]=>[1,3,1,3]=>11001100=>3 [7,2,3,4,1,8,6,5]=>[2,7,6,5,8,1,3,4]=>[2,1,2,3]=>10110100=>5 [7,2,3,4,1,5,8,6]=>[2,7,6,5,8,4,1,3]=>[2,1,2,1,2]=>10110110=>5 [1,2,3,4,8,7,5,6]=>[8,7,6,5,1,2,4,3]=>[1,1,1,1,3,1]=>11111001=>2 [1,2,8,5,3,4,6,7]=>[8,7,1,4,6,5,3,2]=>[1,1,3,1,1,1]=>11100111=>2 [1,8,4,2,3,5,6,7]=>[8,1,5,7,6,4,3,2]=>[1,3,1,1,1,1]=>11001111=>2 [8,6,7,4,1,5,3,2]=>[1,3,2,5,8,4,6,7]=>[2,3,3]=>10100100=>5 [4,8,6,7,5,1,3,2]=>[5,1,3,2,4,8,6,7]=>[1,2,3,2]=>11010010=>5 [7,1,8,4,6,5,2,3]=>[2,8,1,5,3,4,7,6]=>[2,2,3,1]=>10101001=>6 [8,7,1,5,4,6,2,3]=>[1,2,8,4,5,3,7,6]=>[3,2,2,1]=>10010101=>6 [8,5,7,1,4,6,3,2]=>[1,4,2,8,5,3,6,7]=>[2,2,1,3]=>10101100=>5 [6,4,8,5,1,7,3,2]=>[3,5,1,4,8,2,6,7]=>[2,3,3]=>10100100=>5 [4,8,5,7,1,6,3,2]=>[5,1,4,2,8,3,6,7]=>[1,2,2,3]=>11010100=>5 [8,4,7,1,5,6,3,2]=>[1,5,2,8,4,3,6,7]=>[2,2,1,3]=>10101100=>5 [8,7,1,4,5,6,3,2]=>[1,2,8,5,4,3,6,7]=>[3,1,1,3]=>10011100=>3 [8,7,4,5,6,1,3,2]=>[1,2,5,4,3,8,6,7]=>[3,1,2,2]=>10011010=>5 [8,7,5,1,4,6,2,3]=>[1,2,4,8,5,3,7,6]=>[4,1,2,1]=>10001101=>4 [8,7,2,5,1,4,6,3]=>[1,2,7,4,8,5,3,6]=>[3,2,1,2]=>10010110=>5 [4,8,7,2,5,1,6,3]=>[5,1,2,7,4,8,3,6]=>[1,3,2,2]=>11001010=>5 [1,6,4,8,5,2,7,3]=>[8,3,5,1,4,7,2,6]=>[1,2,3,2]=>11010010=>5 [8,7,1,4,2,5,6,3]=>[1,2,8,5,7,4,3,6]=>[3,2,1,2]=>10010110=>5 [8,7,5,1,2,4,6,3]=>[1,2,4,8,7,5,3,6]=>[4,1,1,2]=>10001110=>3 [7,1,8,5,6,2,3,4]=>[2,8,1,4,3,7,6,5]=>[2,2,2,1,1]=>10101011=>6 [3,8,7,1,2,5,6,4]=>[6,1,2,8,7,4,3,5]=>[1,3,1,1,2]=>11001110=>3 [3,5,8,7,1,2,6,4]=>[6,4,1,2,8,7,3,5]=>[1,1,3,1,2]=>11100110=>3 [2,3,8,5,7,1,6,4]=>[7,6,1,4,2,8,3,5]=>[1,1,2,2,2]=>11101010=>5 [3,8,7,1,5,6,2,4]=>[6,1,2,8,4,3,7,5]=>[1,3,1,2,1]=>11001101=>4 [3,5,8,7,1,6,2,4]=>[6,4,1,2,8,3,7,5]=>[1,1,3,2,1]=>11100101=>4 [2,3,8,6,7,5,1,4]=>[7,6,1,3,2,4,8,5]=>[1,1,2,3,1]=>11101001=>4 [3,2,8,6,7,5,1,4]=>[6,7,1,3,2,4,8,5]=>[2,2,3,1]=>10101001=>6 [4,1,8,6,2,7,5,3]=>[5,8,1,3,7,2,4,6]=>[2,3,3]=>10100100=>5 [8,7,4,1,2,6,5,3]=>[1,2,5,8,7,3,4,6]=>[4,1,3]=>10001100=>3 [1,3,8,6,7,5,2,4]=>[8,6,1,3,2,4,7,5]=>[1,1,2,3,1]=>11101001=>4 [5,7,1,8,2,6,3,4]=>[4,2,8,1,7,3,6,5]=>[1,2,2,2,1]=>11010101=>6 [2,8,7,1,5,6,3,4]=>[7,1,2,8,4,3,6,5]=>[1,3,1,2,1]=>11001101=>4 [8,7,1,5,2,4,6,3]=>[1,2,8,4,7,5,3,6]=>[3,2,1,2]=>10010110=>5 [7,1,8,2,4,6,5,3]=>[2,8,1,7,5,3,4,6]=>[2,2,1,3]=>10101100=>5 [1,6,2,8,4,7,5,3]=>[8,3,7,1,5,2,4,6]=>[1,2,2,3]=>11010100=>5 [1,3,8,5,7,2,6,4]=>[8,6,1,4,2,7,3,5]=>[1,1,2,2,2]=>11101010=>5 [1,8,3,7,2,5,6,4]=>[8,1,6,2,7,4,3,5]=>[1,2,2,1,2]=>11010110=>5 [2,8,7,1,3,5,6,4]=>[7,1,2,8,6,4,3,5]=>[1,3,1,1,2]=>11001110=>3 [5,7,1,8,2,3,6,4]=>[4,2,8,1,7,6,3,5]=>[1,2,2,1,2]=>11010110=>5 [7,1,8,2,3,5,6,4]=>[2,8,1,7,6,4,3,5]=>[2,2,1,1,2]=>10101110=>5 [8,6,3,7,4,1,5,2]=>[1,3,6,2,5,8,4,7]=>[3,3,2]=>10010010=>5 [4,2,8,6,7,5,1,3]=>[5,7,1,3,2,4,8,6]=>[2,2,3,1]=>10101001=>6 [8,4,2,7,5,6,1,3]=>[1,5,7,2,4,3,8,6]=>[3,2,2,1]=>10010101=>6 [4,8,3,6,1,7,5,2]=>[5,1,6,3,8,2,4,7]=>[1,2,2,3]=>11010100=>5 [8,3,4,7,5,1,6,2]=>[1,6,5,2,4,8,3,7]=>[2,1,3,2]=>10110010=>5 [8,3,7,4,5,1,6,2]=>[1,6,2,5,4,8,3,7]=>[2,2,2,2]=>10101010=>7 [8,7,4,2,5,6,1,3]=>[1,2,5,7,4,3,8,6]=>[4,1,2,1]=>10001101=>4 [8,7,5,1,6,2,3,4]=>[1,2,4,8,3,7,6,5]=>[4,2,1,1]=>10001011=>4 [8,7,2,4,1,5,6,3]=>[1,2,7,5,8,4,3,6]=>[3,2,1,2]=>10010110=>5 [4,8,6,1,7,2,5,3]=>[5,1,3,8,2,7,4,6]=>[1,3,2,2]=>11001010=>5 [4,7,1,8,2,6,5,3]=>[5,2,8,1,7,3,4,6]=>[1,2,2,3]=>11010100=>5 [4,2,8,6,7,1,5,3]=>[5,7,1,3,2,8,4,6]=>[2,2,2,2]=>10101010=>7 [8,7,4,1,2,5,6,3]=>[1,2,5,8,7,4,3,6]=>[4,1,1,2]=>10001110=>3 [8,2,7,1,6,3,4,5]=>[1,7,2,8,3,6,5,4]=>[2,2,2,1,1]=>10101011=>6 [8,2,7,1,3,6,4,5]=>[1,7,2,8,6,3,5,4]=>[2,2,1,2,1]=>10101101=>6 [2,8,3,6,7,1,5,4]=>[7,1,6,3,2,8,4,5]=>[1,2,1,2,2]=>11011010=>5 [8,7,2,1,3,5,6,4]=>[1,2,7,8,6,4,3,5]=>[4,1,1,2]=>10001110=>3 [1,8,7,2,3,6,4,5]=>[8,1,2,7,6,3,5,4]=>[1,3,1,2,1]=>11001101=>4 [1,8,7,2,6,3,4,5]=>[8,1,2,7,3,6,5,4]=>[1,3,2,1,1]=>11001011=>4 [8,2,7,3,6,1,4,5]=>[1,7,2,6,3,8,5,4]=>[2,2,2,1,1]=>10101011=>6 [1,8,7,3,6,2,4,5]=>[8,1,2,6,3,7,5,4]=>[1,3,2,1,1]=>11001011=>4 [1,8,2,7,6,3,4,5]=>[8,1,7,2,3,6,5,4]=>[1,2,3,1,1]=>11010011=>4 [8,2,7,4,1,5,6,3]=>[1,7,2,5,8,4,3,6]=>[2,3,1,2]=>10100110=>5 [8,2,1,7,5,6,3,4]=>[1,7,8,2,4,3,6,5]=>[3,2,2,1]=>10010101=>6 [8,7,3,1,5,6,2,4]=>[1,2,6,8,4,3,7,5]=>[4,1,2,1]=>10001101=>4 [2,8,7,3,5,6,1,4]=>[7,1,2,6,4,3,8,5]=>[1,3,1,2,1]=>11001101=>4 [8,3,1,6,7,5,2,4]=>[1,6,8,3,2,4,7,5]=>[3,1,3,1]=>10011001=>4 [8,5,2,1,6,7,4,3]=>[1,4,7,8,3,2,5,6]=>[4,1,3]=>10001100=>3 [1,5,2,8,6,7,4,3]=>[8,4,7,1,3,2,5,6]=>[1,2,2,3]=>11010100=>5 [1,2,8,6,7,5,3,4]=>[8,7,1,3,2,4,6,5]=>[1,1,2,3,1]=>11101001=>4 [1,8,3,6,7,5,2,4]=>[8,1,6,3,2,4,7,5]=>[1,2,1,3,1]=>11011001=>4 [8,2,3,6,7,5,1,4]=>[1,7,6,3,2,4,8,5]=>[2,1,1,3,1]=>10111001=>4 [8,3,7,2,5,6,1,4]=>[1,6,2,7,4,3,8,5]=>[2,2,1,2,1]=>10101101=>6 [8,1,3,7,5,6,2,4]=>[1,8,6,2,4,3,7,5]=>[2,1,2,2,1]=>10110101=>6 [8,4,1,2,7,5,6,3]=>[1,5,8,7,2,4,3,6]=>[3,1,2,2]=>10011010=>5 [8,1,4,2,6,7,5,3]=>[1,8,5,7,3,2,4,6]=>[2,2,1,3]=>10101100=>5 [1,2,8,6,7,3,5,4]=>[8,7,1,3,2,6,4,5]=>[1,1,2,2,2]=>11101010=>5 [8,1,2,7,3,6,4,5]=>[1,8,7,2,6,3,5,4]=>[2,1,2,2,1]=>10110101=>6 [8,1,7,3,6,2,4,5]=>[1,8,2,6,3,7,5,4]=>[2,2,2,1,1]=>10101011=>6 [8,1,7,2,6,3,4,5]=>[1,8,2,7,3,6,5,4]=>[2,2,2,1,1]=>10101011=>6 [8,1,7,2,3,6,4,5]=>[1,8,2,7,6,3,5,4]=>[2,2,1,2,1]=>10101101=>6 [8,1,3,7,2,5,6,4]=>[1,8,6,2,7,4,3,5]=>[2,1,2,1,2]=>10110110=>5 [1,8,3,6,7,2,5,4]=>[8,1,6,3,2,7,4,5]=>[1,2,1,2,2]=>11011010=>5 [1,7,8,2,3,6,5,4]=>[8,2,1,7,6,3,4,5]=>[1,1,2,1,3]=>11101100=>3 [8,3,7,1,2,5,6,4]=>[1,6,2,8,7,4,3,5]=>[2,2,1,1,2]=>10101110=>5 [8,7,1,2,3,6,4,5]=>[1,2,8,7,6,3,5,4]=>[3,1,1,2,1]=>10011101=>4 [2,8,5,7,4,6,3,1]=>[7,1,4,2,5,3,6,8]=>[1,2,2,3]=>11010100=>5 [3,1,8,5,7,4,2,6]=>[6,8,1,4,2,5,7,3]=>[2,2,3,1]=>10101001=>6 [8,3,5,7,4,2,6,1]=>[1,6,4,2,5,7,3,8]=>[2,1,3,2]=>10110010=>5 [8,3,6,2,4,5,7,1]=>[1,6,3,7,5,4,2,8]=>[2,2,1,1,2]=>10101110=>5 [2,8,6,4,3,5,7,1]=>[7,1,3,5,6,4,2,8]=>[1,4,1,2]=>11000110=>3 [2,6,8,3,5,4,7,1]=>[7,3,1,6,4,5,2,8]=>[1,1,2,2,2]=>11101010=>5 [2,7,5,8,4,6,3,1]=>[7,2,4,1,5,3,6,8]=>[1,2,2,3]=>11010100=>5 [8,4,2,7,6,1,3,5]=>[1,5,7,2,3,8,6,4]=>[3,3,1,1]=>10010011=>4 [4,8,1,7,6,3,2,5]=>[5,1,8,2,3,6,7,4]=>[1,2,4,1]=>11010001=>4 [4,1,7,6,2,3,5,8]=>[5,8,2,3,7,6,4,1]=>[2,3,1,1,1]=>10100111=>4 [3,7,1,8,6,2,5,4]=>[6,2,8,1,3,7,4,5]=>[1,2,3,2]=>11010010=>5 [3,1,7,6,4,5,2,8]=>[6,8,2,3,5,4,7,1]=>[2,3,2,1]=>10100101=>6 [3,1,7,5,8,4,2,6]=>[6,8,2,4,1,5,7,3]=>[2,2,3,1]=>10101001=>6 [3,1,6,8,7,5,2,4]=>[6,8,3,1,2,4,7,5]=>[2,1,4,1]=>10110001=>4 [6,3,8,7,5,2,4,1]=>[3,6,1,2,4,7,5,8]=>[2,4,2]=>10100010=>5 [7,3,5,8,4,2,6,1]=>[2,6,4,1,5,7,3,8]=>[2,1,3,2]=>10110010=>5 [7,3,6,4,2,8,5,1]=>[2,6,3,5,7,1,4,8]=>[2,3,3]=>10100100=>5 [7,8,3,6,2,5,4,1]=>[2,1,6,3,7,4,5,8]=>[1,2,2,3]=>11010100=>5 [7,4,8,2,1,6,3,5]=>[2,5,1,7,8,3,6,4]=>[2,3,2,1]=>10100101=>6 [8,7,4,6,3,2,5,1]=>[1,2,5,3,6,7,4,8]=>[3,3,2]=>10010010=>5 [7,8,5,2,1,4,3,6]=>[2,1,4,7,8,5,6,3]=>[1,4,2,1]=>11000101=>4 [7,5,2,3,1,4,8,6]=>[2,4,7,6,8,5,1,3]=>[3,2,1,2]=>10010110=>5 [7,4,6,2,3,8,1,5]=>[2,5,3,7,6,1,8,4]=>[2,2,1,2,1]=>10101101=>6 [6,4,2,5,8,3,7,1]=>[3,5,7,4,1,6,2,8]=>[3,1,2,2]=>10011010=>5 [4,6,5,8,1,3,2,7]=>[5,3,4,1,8,6,7,2]=>[1,2,2,2,1]=>11010101=>6 [4,7,1,5,3,8,2,6]=>[5,2,8,4,6,1,7,3]=>[1,2,2,2,1]=>11010101=>6 [4,7,8,1,3,6,2,5]=>[5,2,1,8,6,3,7,4]=>[1,1,2,1,2,1]=>11101101=>4 [5,7,1,3,4,6,2,8]=>[4,2,8,6,5,3,7,1]=>[1,2,1,1,2,1]=>11011101=>4 [5,7,1,4,2,3,6,8]=>[4,2,8,5,7,6,3,1]=>[1,2,2,1,1,1]=>11010111=>4 [5,8,1,3,2,4,6,7]=>[4,1,8,6,7,5,3,2]=>[1,2,2,1,1,1]=>11010111=>4 [4,8,6,1,3,2,7,5]=>[5,1,3,8,6,7,2,4]=>[1,3,2,2]=>11001010=>5 [8,4,6,2,1,3,7,5]=>[1,5,3,7,8,6,2,4]=>[2,3,1,2]=>10100110=>5 [5,4,8,7,2,3,6,1]=>[4,5,1,2,7,6,3,8]=>[2,3,1,2]=>10100110=>5 [5,4,8,7,3,1,2,6]=>[4,5,1,2,6,8,7,3]=>[2,4,1,1]=>10100011=>4 [6,8,3,7,2,5,4,1]=>[3,1,6,2,7,4,5,8]=>[1,2,2,3]=>11010100=>5 [5,4,6,8,2,3,7,1]=>[4,5,3,1,7,6,2,8]=>[2,1,2,1,2]=>10110110=>5 [5,7,4,2,8,3,6,1]=>[4,2,5,7,1,6,3,8]=>[1,3,2,2]=>11001010=>5 [6,4,7,2,1,8,3,5]=>[3,5,2,7,8,1,6,4]=>[2,3,2,1]=>10100101=>6 [6,5,3,4,1,2,8,7]=>[3,4,6,5,8,7,1,2]=>[3,2,1,2]=>10010110=>5 [6,8,5,4,1,3,2,7]=>[3,1,4,5,8,6,7,2]=>[1,4,2,1]=>11000101=>4 [6,4,3,7,1,5,2,8]=>[3,5,6,2,8,4,7,1]=>[3,2,2,1]=>10010101=>6 [9,8,7,6,5,2,3,1,4]=>[1,2,3,4,5,8,7,9,6]=>[6,2,1]=>100000101=>4 [9,8,7,6,3,4,2,1,5]=>[1,2,3,4,7,6,8,9,5]=>[5,3,1]=>100001001=>4 [9,8,7,4,5,3,2,1,6]=>[1,2,3,6,5,7,8,9,4]=>[4,4,1]=>100010001=>4 [9,8,5,6,4,3,2,1,7]=>[1,2,5,4,6,7,8,9,3]=>[3,5,1]=>100100001=>4 [9,6,7,5,4,3,2,1,8]=>[1,4,3,5,6,7,8,9,2]=>[2,6,1]=>101000001=>4 [7,4,2,6,1,5,3,8]=>[2,5,7,3,8,4,6,1]=>[3,2,2,1]=>10010101=>6 [7,4,2,5,6,1,3,8]=>[2,5,7,4,3,8,6,1]=>[3,1,2,1,1]=>10011011=>4 [6,4,2,8,1,5,7,3]=>[3,5,7,1,8,4,2,6]=>[3,2,1,2]=>10010110=>5 [6,3,7,8,2,5,1,4]=>[3,6,2,1,7,4,8,5]=>[2,1,2,2,1]=>10110101=>6 [7,3,5,6,4,2,1,8]=>[2,6,4,3,5,7,8,1]=>[2,1,4,1]=>10110001=>4 [7,4,3,1,5,6,2,8]=>[2,5,6,8,4,3,7,1]=>[4,1,2,1]=>10001101=>4 [7,4,5,2,6,1,3,8]=>[2,5,4,7,3,8,6,1]=>[2,2,2,1,1]=>10101011=>6 [5,3,7,2,8,6,4,1]=>[4,6,2,7,1,3,5,8]=>[2,2,4]=>10101000=>5 [5,3,8,2,6,7,4,1]=>[4,6,1,7,3,2,5,8]=>[2,2,1,3]=>10101100=>5 [6,3,8,2,5,4,7,1]=>[3,6,1,7,4,5,2,8]=>[2,2,2,2]=>10101010=>7 [6,4,8,2,1,5,7,3]=>[3,5,1,7,8,4,2,6]=>[2,3,1,2]=>10100110=>5 [6,4,3,1,8,2,7,5]=>[3,5,6,8,1,7,2,4]=>[4,2,2]=>10001010=>5 [5,3,7,8,2,6,4,1]=>[4,6,2,1,7,3,5,8]=>[2,1,2,3]=>10110100=>5 [4,7,8,5,6,3,2,1]=>[5,2,1,4,3,6,7,8]=>[1,1,2,4]=>11101000=>3 [5,3,7,6,8,2,4,1]=>[4,6,2,3,1,7,5,8]=>[2,2,2,2]=>10101010=>7 [5,7,8,4,6,2,1,3]=>[4,2,1,5,3,7,8,6]=>[1,1,2,3,1]=>11101001=>4 [5,8,4,3,6,7,1,2]=>[4,1,5,6,3,2,8,7]=>[1,3,1,2,1]=>11001101=>4 [5,8,6,4,7,2,1,3]=>[4,1,3,5,2,7,8,6]=>[1,3,3,1]=>11001001=>4 [5,3,8,6,2,7,4,1]=>[4,6,1,3,7,2,5,8]=>[2,3,3]=>10100100=>5 [4,7,5,8,6,3,2,1]=>[5,2,4,1,3,6,7,8]=>[1,2,5]=>11010000=>3 [4,8,6,7,5,3,2,1]=>[5,1,3,2,4,6,7,8]=>[1,2,5]=>11010000=>3 [6,3,8,7,2,4,1,5]=>[3,6,1,2,7,5,8,4]=>[2,3,2,1]=>10100101=>6 [5,3,8,7,2,6,4,1]=>[4,6,1,2,7,3,5,8]=>[2,3,3]=>10100100=>5 [5,3,8,6,7,2,4,1]=>[4,6,1,3,2,7,5,8]=>[2,2,2,2]=>10101010=>7 [5,3,7,8,6,2,4,1]=>[4,6,2,1,3,7,5,8]=>[2,1,3,2]=>10110010=>5 [5,7,6,4,8,2,1,3]=>[4,2,3,5,1,7,8,6]=>[1,3,3,1]=>11001001=>4 [5,8,4,6,7,2,1,3]=>[4,1,5,3,2,7,8,6]=>[1,2,1,3,1]=>11011001=>4 [6,4,2,8,1,7,3,5]=>[3,5,7,1,8,2,6,4]=>[3,2,2,1]=>10010101=>6 [6,5,2,4,3,7,8,1]=>[3,4,7,5,6,2,1,8]=>[3,2,1,2]=>10010110=>5 [5,4,6,2,8,7,1,3]=>[4,5,3,7,1,2,8,6]=>[2,2,3,1]=>10101001=>6 [5,6,3,8,7,2,4,1]=>[4,3,6,1,2,7,5,8]=>[1,2,3,2]=>11010010=>5 [6,7,4,3,1,8,2,5]=>[3,2,5,6,8,1,7,4]=>[1,4,2,1]=>11000101=>4 [5,7,4,3,6,8,1,2]=>[4,2,5,6,3,1,8,7]=>[1,3,1,2,1]=>11001101=>4 [5,7,3,8,6,2,4,1]=>[4,2,6,1,3,7,5,8]=>[1,2,3,2]=>11010010=>5 [4,5,8,6,7,3,2,1]=>[5,4,1,3,2,6,7,8]=>[1,1,2,4]=>11101000=>3 [4,6,8,5,7,3,2,1]=>[5,3,1,4,2,6,7,8]=>[1,1,2,4]=>11101000=>3 [5,6,8,3,7,2,4,1]=>[4,3,1,6,2,7,5,8]=>[1,1,2,2,2]=>11101010=>5 [5,4,6,8,2,7,1,3]=>[4,5,3,1,7,2,8,6]=>[2,1,2,2,1]=>10110101=>6 [3,6,7,8,2,5,1,4]=>[6,3,2,1,7,4,8,5]=>[1,1,1,2,2,1]=>11110101=>4 [5,7,8,2,6,4,1,3]=>[4,2,1,7,3,5,8,6]=>[1,1,2,3,1]=>11101001=>4 [3,6,8,5,7,1,4,2]=>[6,3,1,4,2,8,5,7]=>[1,1,2,2,2]=>11101010=>5 [1,7,4,8,6,2,3,5]=>[8,2,5,1,3,7,6,4]=>[1,2,3,1,1]=>11010011=>4 [3,6,2,5,7,8,1,4]=>[6,3,7,4,2,1,8,5]=>[1,2,1,1,2,1]=>11011101=>4 [5,2,7,4,6,8,1,3]=>[4,7,2,5,3,1,8,6]=>[2,2,1,2,1]=>10101101=>6 [5,3,6,7,1,8,4,2]=>[4,6,3,2,8,1,5,7]=>[2,1,2,3]=>10110100=>5 [4,2,5,6,7,1,8,3]=>[5,7,4,3,2,8,1,6]=>[2,1,1,2,2]=>10111010=>5 [8,2,3,7,5,1,6,4]=>[1,7,6,2,4,8,3,5]=>[2,1,3,2]=>10110010=>5 [7,2,6,3,5,1,8,4]=>[2,7,3,6,4,8,1,5]=>[2,2,2,2]=>10101010=>7 [8,1,3,6,7,2,4,5]=>[1,8,6,3,2,7,5,4]=>[2,1,1,2,1,1]=>10111011=>4 [8,1,4,2,5,6,3,7]=>[1,8,5,7,4,3,6,2]=>[2,2,1,2,1]=>10101101=>6 [8,1,4,2,7,5,3,6]=>[1,8,5,7,2,4,6,3]=>[2,2,3,1]=>10101001=>6 [6,1,3,8,2,7,4,5]=>[3,8,6,1,7,2,5,4]=>[2,1,2,2,1]=>10110101=>6 [3,6,2,4,1,7,8,5]=>[6,3,7,5,8,2,1,4]=>[1,2,2,1,2]=>11010110=>5 [6,2,7,3,1,5,8,4]=>[3,7,2,6,8,4,1,5]=>[2,3,1,2]=>10100110=>5 [6,3,4,1,8,5,7,2]=>[3,6,5,8,1,4,2,7]=>[2,2,2,2]=>10101010=>7 [7,3,4,1,5,8,6,2]=>[2,6,5,8,4,1,3,7]=>[2,2,1,3]=>10101100=>5 [1,7,5,2,8,6,3,4]=>[8,2,4,7,1,3,6,5]=>[1,3,3,1]=>11001001=>4 [3,7,4,1,8,5,6,2]=>[6,2,5,8,1,4,3,7]=>[1,3,2,2]=>11001010=>5 [5,6,3,1,7,8,4,2]=>[4,3,6,8,2,1,5,7]=>[1,3,1,3]=>11001100=>3 [3,6,4,8,1,5,7,2]=>[6,3,5,1,8,4,2,7]=>[1,2,2,1,2]=>11010110=>5 [1,5,8,4,2,6,3,7]=>[8,4,1,5,7,3,6,2]=>[1,1,3,2,1]=>11100101=>4 [3,5,7,4,1,6,8,2]=>[6,4,2,5,8,3,1,7]=>[1,1,3,1,2]=>11100110=>3 [3,5,7,1,2,6,4,8]=>[6,4,2,8,7,3,5,1]=>[1,1,2,1,2,1]=>11101101=>4 [4,5,1,8,2,3,7,6]=>[5,4,8,1,7,6,2,3]=>[1,2,2,1,2]=>11010110=>5 [4,7,1,8,2,6,3,5]=>[5,2,8,1,7,3,6,4]=>[1,2,2,2,1]=>11010101=>6 [6,3,1,8,5,2,4,7]=>[3,6,8,1,4,7,5,2]=>[3,3,1,1]=>10010011=>4 [3,5,2,1,8,4,6,7]=>[6,4,7,8,1,5,3,2]=>[1,3,2,1,1]=>11001011=>4 [7,5,1,2,3,8,6,4]=>[2,4,8,7,6,1,3,5]=>[3,1,1,3]=>10011100=>3 [6,4,1,2,7,3,8,5]=>[3,5,8,7,2,6,1,4]=>[3,1,2,2]=>10011010=>5 [5,2,6,1,3,4,8,7]=>[4,7,3,8,6,5,1,2]=>[2,2,1,1,2]=>10101110=>5 [7,8,4,5,1,3,2,6]=>[2,1,5,4,8,6,7,3]=>[1,2,2,2,1]=>11010101=>6 [6,7,1,3,2,5,4,8]=>[3,2,8,6,7,4,5,1]=>[1,2,2,2,1]=>11010101=>6 [6,7,1,4,3,5,2,8]=>[3,2,8,5,6,4,7,1]=>[1,2,2,2,1]=>11010101=>6 [7,8,2,3,1,5,4,6]=>[2,1,7,6,8,4,5,3]=>[1,2,2,2,1]=>11010101=>6 [7,8,2,4,3,5,1,6]=>[2,1,7,5,6,4,8,3]=>[1,2,2,2,1]=>11010101=>6 [7,8,2,4,1,5,3,6]=>[2,1,7,5,8,4,6,3]=>[1,2,2,2,1]=>11010101=>6 [1,4,2,6,5,7,3,8]=>[8,5,7,3,4,2,6,1]=>[1,2,2,2,1]=>11010101=>6 [5,6,1,4,2,7,3,8]=>[4,3,8,5,7,2,6,1]=>[1,2,2,2,1]=>11010101=>6 [6,7,2,4,3,5,1,8]=>[3,2,7,5,6,4,8,1]=>[1,2,2,2,1]=>11010101=>6 [6,7,2,3,1,5,4,8]=>[3,2,7,6,8,4,5,1]=>[1,2,2,2,1]=>11010101=>6 [6,7,3,5,4,8,1,2]=>[3,2,6,4,5,1,8,7]=>[1,2,2,2,1]=>11010101=>6 [2,4,1,6,5,7,3,8]=>[7,5,8,3,4,2,6,1]=>[1,2,2,2,1]=>11010101=>6 [1,5,2,6,4,7,3,8]=>[8,4,7,3,5,2,6,1]=>[1,2,2,2,1]=>11010101=>6 [2,5,1,6,4,7,3,8]=>[7,4,8,3,5,2,6,1]=>[1,2,2,2,1]=>11010101=>6 [3,6,5,7,4,8,1,2]=>[6,3,4,2,5,1,8,7]=>[1,2,2,2,1]=>11010101=>6 [5,6,2,4,3,7,1,8]=>[4,3,7,5,6,2,8,1]=>[1,2,2,2,1]=>11010101=>6 [4,5,2,6,1,7,3,8]=>[5,4,7,3,8,2,6,1]=>[1,2,2,2,1]=>11010101=>6 [4,5,1,6,3,7,2,8]=>[5,4,8,3,6,2,7,1]=>[1,2,2,2,1]=>11010101=>6 [4,5,3,6,1,7,2,8]=>[5,4,6,3,8,2,7,1]=>[1,2,2,2,1]=>11010101=>6 [5,6,3,4,1,7,2,8]=>[4,3,6,5,8,2,7,1]=>[1,2,2,2,1]=>11010101=>6 [5,6,1,4,3,7,2,8]=>[4,3,8,5,6,2,7,1]=>[1,2,2,2,1]=>11010101=>6 [5,6,1,3,2,7,4,8]=>[4,3,8,6,7,2,5,1]=>[1,2,2,2,1]=>11010101=>6 [5,6,4,7,1,3,2,8]=>[4,3,5,2,8,6,7,1]=>[1,2,2,2,1]=>11010101=>6 [6,7,4,5,1,3,2,8]=>[3,2,5,4,8,6,7,1]=>[1,2,2,2,1]=>11010101=>6 [6,7,5,8,1,3,2,4]=>[3,2,4,1,8,6,7,5]=>[1,2,2,2,1]=>11010101=>6 [4,5,1,3,2,7,6,8]=>[5,4,8,6,7,2,3,1]=>[1,2,2,2,1]=>11010101=>6 [4,6,5,7,1,3,2,8]=>[5,3,4,2,8,6,7,1]=>[1,2,2,2,1]=>11010101=>6 [4,6,1,3,2,7,5,8]=>[5,3,8,6,7,2,4,1]=>[1,2,2,2,1]=>11010101=>6 [1,4,3,6,2,7,5,8]=>[8,5,6,3,7,2,4,1]=>[1,2,2,2,1]=>11010101=>6 [3,4,1,6,5,7,2,8]=>[6,5,8,3,4,2,7,1]=>[1,2,2,2,1]=>11010101=>6 [4,5,2,3,1,7,6,8]=>[5,4,7,6,8,2,3,1]=>[1,2,2,2,1]=>11010101=>6 [4,5,3,7,6,8,1,2]=>[5,4,6,2,3,1,8,7]=>[1,2,2,2,1]=>11010101=>6 [4,6,5,7,3,8,1,2]=>[5,3,4,2,6,1,8,7]=>[1,2,2,2,1]=>11010101=>6 [4,6,5,7,2,3,1,8]=>[5,3,4,2,7,6,8,1]=>[1,2,2,2,1]=>11010101=>6 [3,5,4,6,1,7,2,8]=>[6,4,5,3,8,2,7,1]=>[1,2,2,2,1]=>11010101=>6 [3,5,1,6,4,7,2,8]=>[6,4,8,3,5,2,7,1]=>[1,2,2,2,1]=>11010101=>6 [1,5,3,6,4,7,2,8]=>[8,4,6,3,5,2,7,1]=>[1,2,2,2,1]=>11010101=>6 [1,5,3,6,2,7,4,8]=>[8,4,6,3,7,2,5,1]=>[1,2,2,2,1]=>11010101=>6 [3,5,2,6,1,7,4,8]=>[6,4,7,3,8,2,5,1]=>[1,2,2,2,1]=>11010101=>6 [3,5,2,6,4,7,1,8]=>[6,4,7,3,5,2,8,1]=>[1,2,2,2,1]=>11010101=>6 [3,4,2,6,1,7,5,8]=>[6,5,7,3,8,2,4,1]=>[1,2,2,2,1]=>11010101=>6 [4,6,2,3,1,7,5,8]=>[5,3,7,6,8,2,4,1]=>[1,2,2,2,1]=>11010101=>6 [2,4,3,6,1,7,5,8]=>[7,5,6,3,8,2,4,1]=>[1,2,2,2,1]=>11010101=>6 [2,5,3,6,4,7,1,8]=>[7,4,6,3,5,2,8,1]=>[1,2,2,2,1]=>11010101=>6 [2,5,3,6,1,7,4,8]=>[7,4,6,3,8,2,5,1]=>[1,2,2,2,1]=>11010101=>6 [4,6,2,7,3,5,8,1]=>[5,3,7,2,6,4,1,8]=>[1,2,2,1,2]=>11010110=>5 [3,6,2,7,5,4,8,1]=>[6,3,7,2,4,5,1,8]=>[1,2,3,2]=>11010010=>5 [4,6,1,7,3,8,2,5]=>[5,3,8,2,6,1,7,4]=>[1,2,2,2,1]=>11010101=>6 [2,4,7,1,3,8,6,5]=>[7,5,2,8,6,1,3,4]=>[1,1,2,1,3]=>11101100=>3 [5,2,6,7,4,3,8,1]=>[4,7,3,2,5,6,1,8]=>[2,1,3,2]=>10110010=>5 [1,5,7,4,3,8,2,6]=>[8,4,2,5,6,1,7,3]=>[1,1,3,2,1]=>11100101=>4 [2,5,7,3,1,8,6,4]=>[7,4,2,6,8,1,3,5]=>[1,1,3,3]=>11100100=>3 [1,5,7,2,8,3,6,4]=>[8,4,2,7,1,6,3,5]=>[1,1,2,2,2]=>11101010=>5 [2,5,7,3,1,8,4,6]=>[7,4,2,6,8,1,5,3]=>[1,1,3,2,1]=>11100101=>4 [5,2,6,7,1,8,4,3]=>[4,7,3,2,8,1,5,6]=>[2,1,2,3]=>10110100=>5 [1,3,7,2,8,5,6,4]=>[8,6,2,7,1,4,3,5]=>[1,1,2,2,2]=>11101010=>5 [2,3,1,5,8,4,7,6]=>[7,6,8,4,1,5,2,3]=>[1,2,1,2,2]=>11011010=>5 [2,1,5,6,8,4,3,7]=>[7,8,4,3,1,5,6,2]=>[2,1,1,3,1]=>10111001=>4 [2,3,1,5,8,6,4,7]=>[7,6,8,4,1,3,5,2]=>[1,2,1,3,1]=>11011001=>4 [2,4,7,3,1,8,5,6]=>[7,5,2,6,8,1,4,3]=>[1,1,3,2,1]=>11100101=>4 [1,3,7,2,8,5,4,6]=>[8,6,2,7,1,4,5,3]=>[1,1,2,3,1]=>11101001=>4 [2,3,1,6,8,5,4,7]=>[7,6,8,3,1,4,5,2]=>[1,2,1,3,1]=>11011001=>4 [4,6,2,7,1,8,3,5]=>[5,3,7,2,8,1,6,4]=>[1,2,2,2,1]=>11010101=>6 [1,5,4,3,6,8,2,7]=>[8,4,5,6,3,1,7,2]=>[1,3,1,2,1]=>11001101=>4 [1,6,4,5,7,8,3,2]=>[8,3,5,4,2,1,6,7]=>[1,2,1,1,3]=>11011100=>3 [2,5,1,7,8,6,3,4]=>[7,4,8,2,1,3,6,5]=>[1,2,1,3,1]=>11011001=>4 [2,1,5,6,8,4,7,3]=>[7,8,4,3,1,5,2,6]=>[2,1,1,2,2]=>10111010=>5 [2,4,1,7,8,5,6,3]=>[7,5,8,2,1,4,3,6]=>[1,2,1,2,2]=>11011010=>5 [1,3,6,2,8,4,7,5]=>[8,6,3,7,1,5,2,4]=>[1,1,2,2,2]=>11101010=>5 [2,1,5,6,8,7,3,4]=>[7,8,4,3,1,2,6,5]=>[2,1,1,3,1]=>10111001=>4 [3,6,5,2,7,8,4,1]=>[6,3,4,7,2,1,5,8]=>[1,3,1,3]=>11001100=>3 [6,2,4,7,5,8,3,1]=>[3,7,5,2,4,1,6,8]=>[2,1,2,3]=>10110100=>5 [1,5,7,8,4,2,6,3]=>[8,4,2,1,5,7,3,6]=>[1,1,1,3,2]=>11110010=>3 [3,7,4,1,8,6,2,5]=>[6,2,5,8,1,3,7,4]=>[1,3,3,1]=>11001001=>4 [3,4,6,8,5,7,2,1]=>[6,5,3,1,4,2,7,8]=>[1,1,1,2,3]=>11110100=>3 [4,2,5,7,3,1,8,6]=>[5,7,4,2,6,8,1,3]=>[2,1,3,2]=>10110010=>5 [4,5,6,2,8,7,3,1]=>[5,4,3,7,1,2,6,8]=>[1,1,2,4]=>11101000=>3 [2,5,6,8,1,7,4,3]=>[7,4,3,1,8,2,5,6]=>[1,1,1,2,3]=>11110100=>3 [4,5,6,1,8,7,3,2]=>[5,4,3,8,1,2,6,7]=>[1,1,2,4]=>11101000=>3 [4,5,6,3,1,8,7,2]=>[5,4,3,6,8,1,2,7]=>[1,1,3,3]=>11100100=>3 [4,3,6,2,1,7,5,8]=>[5,6,3,7,8,2,4,1]=>[2,3,2,1]=>10100101=>6 [4,6,3,2,1,7,5,8]=>[5,3,6,7,8,2,4,1]=>[1,4,2,1]=>11000101=>4 [4,6,3,1,7,5,2,8]=>[5,3,6,8,2,4,7,1]=>[1,3,3,1]=>11001001=>4 [4,5,3,7,6,1,8,2]=>[5,4,6,2,3,8,1,7]=>[1,2,3,2]=>11010010=>5 [4,5,1,7,3,8,6,2]=>[5,4,8,2,6,1,3,7]=>[1,2,2,3]=>11010100=>5 [2,5,7,1,4,3,8,6]=>[7,4,2,8,5,6,1,3]=>[1,1,2,2,2]=>11101010=>5 [4,3,5,7,6,1,8,2]=>[5,6,4,2,3,8,1,7]=>[2,1,3,2]=>10110010=>5 [4,3,6,1,7,5,2,8]=>[5,6,3,8,2,4,7,1]=>[2,2,3,1]=>10101001=>6 [4,3,2,6,1,7,5,8]=>[5,6,7,3,8,2,4,1]=>[3,2,2,1]=>10010101=>6 [5,3,2,1,6,4,7,8]=>[4,6,7,8,3,5,2,1]=>[4,2,1,1]=>10001011=>4 [5,3,1,6,2,7,4,8]=>[4,6,8,3,7,2,5,1]=>[3,2,2,1]=>10010101=>6 [5,1,6,3,2,7,4,8]=>[4,8,3,6,7,2,5,1]=>[2,3,2,1]=>10100101=>6 [2,6,1,4,7,5,3,8]=>[7,3,8,5,2,4,6,1]=>[1,2,1,3,1]=>11011001=>4 [3,6,1,7,4,2,5,8]=>[6,3,8,2,5,7,4,1]=>[1,2,3,1,1]=>11010011=>4 [4,6,1,7,5,3,2,8]=>[5,3,8,2,4,6,7,1]=>[1,2,4,1]=>11010001=>4 [5,1,6,3,7,4,2,8]=>[4,8,3,6,2,5,7,1]=>[2,2,3,1]=>10101001=>6 [5,3,6,4,2,1,7,8]=>[4,6,3,5,7,8,2,1]=>[2,4,1,1]=>10100011=>4 [5,3,2,6,4,1,7,8]=>[4,6,7,3,5,8,2,1]=>[3,3,1,1]=>10010011=>4 [5,2,1,6,3,7,4,8]=>[4,7,8,3,6,2,5,1]=>[3,2,2,1]=>10010101=>6 [5,2,6,3,1,7,4,8]=>[4,7,3,6,8,2,5,1]=>[2,3,2,1]=>10100101=>6 [4,2,6,3,1,7,8,5]=>[5,7,3,6,8,2,1,4]=>[2,3,1,2]=>10100110=>5 [3,6,2,1,7,4,5,8]=>[6,3,7,8,2,5,4,1]=>[1,3,2,1,1]=>11001011=>4 [3,6,2,7,4,1,5,8]=>[6,3,7,2,5,8,4,1]=>[1,2,3,1,1]=>11010011=>4 [3,5,7,2,8,6,4,1]=>[6,4,2,7,1,3,5,8]=>[1,1,2,4]=>11101000=>3 [2,4,7,1,3,6,5,8]=>[7,5,2,8,6,3,4,1]=>[1,1,2,1,2,1]=>11101101=>4 [2,6,1,3,7,5,4,8]=>[7,3,8,6,2,4,5,1]=>[1,2,1,3,1]=>11011001=>4 [3,6,1,7,5,2,4,8]=>[6,3,8,2,4,7,5,1]=>[1,2,3,1,1]=>11010011=>4 [5,1,6,2,7,4,3,8]=>[4,8,3,7,2,5,6,1]=>[2,2,3,1]=>10101001=>6 [5,2,6,4,3,1,7,8]=>[4,7,3,5,6,8,2,1]=>[2,4,1,1]=>10100011=>4 [5,2,1,6,4,3,7,8]=>[4,7,8,3,5,6,2,1]=>[3,3,1,1]=>10010011=>4 [5,4,2,1,6,3,7,8]=>[4,5,7,8,3,6,2,1]=>[4,2,1,1]=>10001011=>4 [5,4,2,6,3,1,7,8]=>[4,5,7,3,6,8,2,1]=>[3,3,1,1]=>10010011=>4 [5,4,1,6,2,7,3,8]=>[4,5,8,3,7,2,6,1]=>[3,2,2,1]=>10010101=>6 [5,1,6,4,2,7,3,8]=>[4,8,3,5,7,2,6,1]=>[2,3,2,1]=>10100101=>6 [3,6,1,7,5,4,8,2]=>[6,3,8,2,4,5,1,7]=>[1,2,3,2]=>11010010=>5 [2,6,1,5,4,3,7,8]=>[7,3,8,4,5,6,2,1]=>[1,2,3,1,1]=>11010011=>4 [3,1,6,2,5,4,7,8]=>[6,8,3,7,4,5,2,1]=>[2,2,2,1,1]=>10101011=>6 [5,1,6,4,3,2,7,8]=>[4,8,3,5,6,7,2,1]=>[2,4,1,1]=>10100011=>4 [5,4,1,6,3,2,7,8]=>[4,5,8,3,6,7,2,1]=>[3,3,1,1]=>10010011=>4 [5,4,3,1,6,2,7,8]=>[4,5,6,8,3,7,2,1]=>[4,2,1,1]=>10001011=>4 [8,2,1,7,6,5,4,3,9]=>[2,8,9,3,4,5,6,7,1]=>[3,5,1]=>100100001=>4 [7,3,1,6,5,4,8,2]=>[2,6,8,3,4,5,1,7]=>[3,3,2]=>10010010=>5 [7,2,8,1,5,4,3,6]=>[2,7,1,8,4,5,6,3]=>[2,2,3,1]=>10101001=>6 [4,2,7,6,5,8,1,3]=>[5,7,2,3,4,1,8,6]=>[2,3,2,1]=>10100101=>6 [3,8,2,6,5,4,1,7]=>[6,1,7,3,4,5,8,2]=>[1,2,4,1]=>11010001=>4 [7,3,2,1,5,4,6,8]=>[2,6,7,8,4,5,3,1]=>[4,2,1,1]=>10001011=>4 [7,2,8,6,1,4,3,5]=>[2,7,1,3,8,5,6,4]=>[2,3,2,1]=>10100101=>6 [5,2,7,6,8,4,1,3]=>[4,7,2,3,1,5,8,6]=>[2,2,3,1]=>10101001=>6 [3,8,7,2,5,4,1,6]=>[6,1,2,7,4,5,8,3]=>[1,3,3,1]=>11001001=>4 [7,5,1,6,8,4,3,2]=>[2,4,8,3,1,5,6,7]=>[3,1,4]=>10011000=>3 [7,4,2,1,5,6,3,8]=>[2,5,7,8,4,3,6,1]=>[4,1,2,1]=>10001101=>4 [7,2,8,6,5,1,3,4]=>[2,7,1,3,4,8,6,5]=>[2,4,1,1]=>10100011=>4 [5,3,2,6,7,4,1,8]=>[4,6,7,3,2,5,8,1]=>[3,1,3,1]=>10011001=>4 [4,3,7,2,5,6,1,8]=>[5,6,2,7,4,3,8,1]=>[2,2,1,2,1]=>10101101=>6 [6,7,1,4,3,2,5,8]=>[3,2,8,5,6,7,4,1]=>[1,2,3,1,1]=>11010011=>4 [3,4,2,6,7,1,5,8]=>[6,5,7,3,2,8,4,1]=>[1,2,1,2,1,1]=>11011011=>4 [3,7,1,6,5,2,4,8]=>[6,2,8,3,4,7,5,1]=>[1,2,3,1,1]=>11010011=>4 [3,5,6,2,4,7,1,8]=>[6,4,3,7,5,2,8,1]=>[1,1,2,1,2,1]=>11101101=>4 [3,5,8,7,2,4,6,1]=>[6,4,1,2,7,5,3,8]=>[1,1,3,1,2]=>11100110=>3 [1,7,8,2,5,4,3,6]=>[8,2,1,7,4,5,6,3]=>[1,1,2,3,1]=>11101001=>4 [8,7,2,5,4,3,6,1]=>[1,2,7,4,5,6,3,8]=>[3,3,2]=>10010010=>5 [2,5,6,4,7,1,3,8]=>[7,4,3,5,2,8,6,1]=>[1,1,2,2,1,1]=>11101011=>4 [4,7,1,6,3,5,2,8]=>[5,2,8,3,6,4,7,1]=>[1,2,2,2,1]=>11010101=>6 [4,5,3,8,7,2,6,1]=>[5,4,6,1,2,7,3,8]=>[1,2,3,2]=>11010010=>5 [1,4,5,3,7,8,2,6]=>[8,5,4,6,2,1,7,3]=>[1,1,2,1,2,1]=>11101101=>4 [1,4,8,2,7,6,3,5]=>[8,5,1,7,2,3,6,4]=>[1,1,2,3,1]=>11101001=>4 [4,7,3,5,1,8,6,2]=>[5,2,6,4,8,1,3,7]=>[1,2,2,3]=>11010100=>5 [8,7,3,6,1,5,4,2]=>[1,2,6,3,8,4,5,7]=>[3,2,3]=>10010100=>5 [2,5,8,7,4,6,1,3]=>[7,4,1,2,5,3,8,6]=>[1,1,3,2,1]=>11100101=>4 [5,4,2,1,7,8,3,6]=>[4,5,7,8,2,1,6,3]=>[4,1,2,1]=>10001101=>4 [4,7,8,3,5,2,1,6]=>[5,2,1,6,4,7,8,3]=>[1,1,2,3,1]=>11101001=>4 [4,7,6,2,1,8,3,5]=>[5,2,3,7,8,1,6,4]=>[1,4,2,1]=>11000101=>4 [1,4,6,7,3,5,8,2]=>[8,5,3,2,6,4,1,7]=>[1,1,1,2,1,2]=>11110110=>3 [8,3,6,2,1,7,5,4]=>[1,6,3,7,8,2,4,5]=>[2,3,3]=>10100100=>5 [8,3,7,6,4,2,1,5]=>[1,6,2,3,5,7,8,4]=>[2,5,1]=>10100001=>4 [2,3,1,8,4,7,6,5]=>[7,6,8,1,5,2,3,4]=>[1,2,2,3]=>11010100=>5 [2,7,4,8,6,5,1,3]=>[7,2,5,1,3,4,8,6]=>[1,2,4,1]=>11010001=>4 [8,6,5,1,4,7,3,2]=>[1,3,4,8,5,2,6,7]=>[4,1,3]=>10001100=>3 [8,5,4,1,7,3,6,2]=>[1,4,5,8,2,6,3,7]=>[4,2,2]=>10001010=>5 [6,3,7,2,8,5,4,1]=>[3,6,2,7,1,4,5,8]=>[2,2,4]=>10101000=>5 [1,6,3,8,2,7,5,4]=>[8,3,6,1,7,2,4,5]=>[1,2,2,3]=>11010100=>5 [1,7,5,3,8,2,6,4]=>[8,2,4,6,1,7,3,5]=>[1,3,2,2]=>11001010=>5 [6,2,7,4,1,8,5,3]=>[3,7,2,5,8,1,4,6]=>[2,3,3]=>10100100=>5 [8,6,3,2,7,5,1,4]=>[1,3,6,7,2,4,8,5]=>[4,3,1]=>10001001=>4 [2,7,5,1,3,8,6,4]=>[7,2,4,8,6,1,3,5]=>[1,3,1,3]=>11001100=>3 [1,7,6,4,3,8,2,5]=>[8,2,3,5,6,1,7,4]=>[1,4,2,1]=>11000101=>4 [3,7,2,4,8,6,5,1]=>[6,2,7,5,1,3,4,8]=>[1,2,1,4]=>11011000=>3 [3,4,2,8,7,6,1,5]=>[6,5,7,1,2,3,8,4]=>[1,2,4,1]=>11010001=>4 [5,1,4,3,2,7,8,6]=>[4,8,5,6,7,2,1,3]=>[2,3,1,2]=>10100110=>5 [3,7,8,5,2,4,1,6]=>[6,2,1,4,7,5,8,3]=>[1,1,3,2,1]=>11100101=>4 [3,7,6,2,4,1,8,5]=>[6,2,3,7,5,8,1,4]=>[1,3,2,2]=>11001010=>5 [1,6,8,2,5,7,4,3]=>[8,3,1,7,4,2,5,6]=>[1,1,2,1,3]=>11101100=>3 [6,7,2,5,8,4,3,1]=>[3,2,7,4,1,5,6,8]=>[1,2,1,4]=>11011000=>3 [5,2,7,8,4,3,1,6]=>[4,7,2,1,5,6,8,3]=>[2,1,4,1]=>10110001=>4 [5,3,1,7,8,4,2,6]=>[4,6,8,2,1,5,7,3]=>[3,1,3,1]=>10011001=>4 [2,7,6,4,1,3,8,5]=>[7,2,3,5,8,6,1,4]=>[1,4,1,2]=>11000110=>3 [4,1,7,6,3,2,8,5]=>[5,8,2,3,6,7,1,4]=>[2,4,2]=>10100010=>5 [8,4,2,7,6,3,1,5]=>[1,5,7,2,3,6,8,4]=>[3,4,1]=>10010001=>4 [6,3,1,7,5,2,8,4]=>[3,6,8,2,4,7,1,5]=>[3,3,2]=>10010010=>5 [6,2,7,5,3,1,8,4]=>[3,7,2,4,6,8,1,5]=>[2,4,2]=>10100010=>5 [1,5,8,2,7,4,6,3]=>[8,4,1,7,2,5,3,6]=>[1,1,2,2,2]=>11101010=>5 [5,7,2,8,4,6,3,1]=>[4,2,7,1,5,3,6,8]=>[1,2,2,3]=>11010100=>5 [5,7,3,1,8,4,6,2]=>[4,2,6,8,1,5,3,7]=>[1,3,2,2]=>11001010=>5 [8,4,7,3,1,6,5,2]=>[1,5,2,6,8,3,4,7]=>[2,3,3]=>10100100=>5 [2,6,8,5,7,4,1,3]=>[7,3,1,4,2,5,8,6]=>[1,1,2,3,1]=>11101001=>4 [6,5,2,1,7,4,8,3]=>[3,4,7,8,2,5,1,6]=>[4,2,2]=>10001010=>5 [5,7,4,6,2,1,8,3]=>[4,2,5,3,7,8,1,6]=>[1,2,3,2]=>11010010=>5 [5,6,4,8,3,7,2,1]=>[4,3,5,1,6,2,7,8]=>[1,2,2,3]=>11010100=>5 [6,7,1,8,3,4,2,5]=>[3,2,8,1,6,5,7,4]=>[1,2,2,2,1]=>11010101=>6 [7,8,3,5,1,4,2,6]=>[2,1,6,4,8,5,7,3]=>[1,2,2,2,1]=>11010101=>6 [5,6,2,7,1,8,3,4]=>[4,3,7,2,8,1,6,5]=>[1,2,2,2,1]=>11010101=>6 [6,7,2,4,3,8,1,5]=>[3,2,7,5,6,1,8,4]=>[1,2,2,2,1]=>11010101=>6 [2,4,3,8,6,7,1,5]=>[7,5,6,1,3,2,8,4]=>[1,2,2,2,1]=>11010101=>6 [1,8,2,7,4,5,3,6]=>[8,1,7,2,5,4,6,3]=>[1,2,2,2,1]=>11010101=>6 [2,5,4,8,3,6,1,7]=>[7,4,5,1,6,3,8,2]=>[1,2,2,2,1]=>11010101=>6 [2,3,1,8,5,6,4,7]=>[7,6,8,1,4,3,5,2]=>[1,2,2,2,1]=>11010101=>6 [3,8,5,6,4,7,1,2]=>[6,1,4,3,5,2,8,7]=>[1,2,2,2,1]=>11010101=>6 [5,7,3,6,4,8,1,2]=>[4,2,6,3,5,1,8,7]=>[1,2,2,2,1]=>11010101=>6 [5,7,2,3,1,6,4,8]=>[4,2,7,6,8,3,5,1]=>[1,2,2,2,1]=>11010101=>6 [5,7,2,4,3,6,1,8]=>[4,2,7,5,6,3,8,1]=>[1,2,2,2,1]=>11010101=>6 [4,6,2,7,1,5,3,8]=>[5,3,7,2,8,4,6,1]=>[1,2,2,2,1]=>11010101=>6 [4,7,1,6,2,5,3,8]=>[5,2,8,3,7,4,6,1]=>[1,2,2,2,1]=>11010101=>6 [4,7,1,5,3,6,2,8]=>[5,2,8,4,6,3,7,1]=>[1,2,2,2,1]=>11010101=>6 [4,6,3,5,1,7,2,8]=>[5,3,6,4,8,2,7,1]=>[1,2,2,2,1]=>11010101=>6 [6,7,3,5,1,4,2,8]=>[3,2,6,4,8,5,7,1]=>[1,2,2,2,1]=>11010101=>6 [5,6,3,7,1,4,2,8]=>[4,3,6,2,8,5,7,1]=>[1,2,2,2,1]=>11010101=>6 [5,7,1,6,3,4,2,8]=>[4,2,8,3,6,5,7,1]=>[1,2,2,2,1]=>11010101=>6 [1,8,5,6,3,4,2,7]=>[8,1,4,3,6,5,7,2]=>[1,2,2,2,1]=>11010101=>6 [1,8,5,6,4,7,2,3]=>[8,1,4,3,5,2,7,6]=>[1,2,2,2,1]=>11010101=>6 [5,7,1,6,4,8,2,3]=>[4,2,8,3,5,1,7,6]=>[1,2,2,2,1]=>11010101=>6 [4,6,5,8,1,7,2,3]=>[5,3,4,1,8,2,7,6]=>[1,2,2,2,1]=>11010101=>6 [3,7,1,4,2,8,5,6]=>[6,2,8,5,7,1,4,3]=>[1,2,2,2,1]=>11010101=>6 [3,5,1,4,2,8,6,7]=>[6,4,8,5,7,1,3,2]=>[1,2,2,2,1]=>11010101=>6 [4,6,5,8,3,7,1,2]=>[5,3,4,1,6,2,8,7]=>[1,2,2,2,1]=>11010101=>6 [4,6,5,8,2,3,1,7]=>[5,3,4,1,7,6,8,2]=>[1,2,2,2,1]=>11010101=>6 [3,5,4,6,2,8,1,7]=>[6,4,5,3,7,1,8,2]=>[1,2,2,2,1]=>11010101=>6 [1,8,3,5,4,7,2,6]=>[8,1,6,4,5,2,7,3]=>[1,2,2,2,1]=>11010101=>6 [3,4,2,7,1,8,5,6]=>[6,5,7,2,8,1,4,3]=>[1,2,2,2,1]=>11010101=>6 [4,7,2,3,1,8,5,6]=>[5,2,7,6,8,1,4,3]=>[1,2,2,2,1]=>11010101=>6 [2,4,3,8,1,7,5,6]=>[7,5,6,1,8,2,4,3]=>[1,2,2,2,1]=>11010101=>6 [2,5,3,8,4,7,1,6]=>[7,4,6,1,5,2,8,3]=>[1,2,2,2,1]=>11010101=>6 [2,6,3,8,1,7,4,5]=>[7,3,6,1,8,2,5,4]=>[1,2,2,2,1]=>11010101=>6 [2,7,1,8,3,6,4,5]=>[7,2,8,1,6,3,5,4]=>[1,2,2,2,1]=>11010101=>6 [3,7,4,8,6,1,5,2]=>[6,2,5,1,3,8,4,7]=>[1,2,3,2]=>11010010=>5 [4,5,1,8,7,6,2,3]=>[5,4,8,1,2,3,7,6]=>[1,2,4,1]=>11010001=>4 [1,5,2,8,7,6,3,4]=>[8,4,7,1,2,3,6,5]=>[1,2,4,1]=>11010001=>4 [5,1,2,8,7,6,3,4]=>[4,8,7,1,2,3,6,5]=>[2,1,4,1]=>10110001=>4 [4,1,5,8,7,6,2,3]=>[5,8,4,1,2,3,7,6]=>[2,1,4,1]=>10110001=>4 [2,3,6,8,7,4,5,1]=>[7,6,3,1,2,5,4,8]=>[1,1,1,3,2]=>11110010=>3 [4,5,7,8,2,6,3,1]=>[5,4,2,1,7,3,6,8]=>[1,1,1,2,3]=>11110100=>3 [4,5,6,8,2,7,3,1]=>[5,4,3,1,7,2,6,8]=>[1,1,1,2,3]=>11110100=>3 [3,1,6,8,7,4,5,2]=>[6,8,3,1,2,5,4,7]=>[2,1,3,2]=>10110010=>5 [6,1,4,8,7,2,5,3]=>[3,8,5,1,2,7,4,6]=>[2,1,3,2]=>10110010=>5 [6,1,8,4,7,3,5,2]=>[3,8,1,5,2,6,4,7]=>[2,2,2,2]=>10101010=>7 [5,8,3,4,7,1,6,2]=>[4,1,6,5,2,8,3,7]=>[1,2,1,2,2]=>11011010=>5 [6,8,3,5,7,1,4,2]=>[3,1,6,4,2,8,5,7]=>[1,2,1,2,2]=>11011010=>5 [3,1,7,8,6,4,5,2]=>[6,8,2,1,3,5,4,7]=>[2,1,3,2]=>10110010=>5 [5,2,7,8,3,6,4,1]=>[4,7,2,1,6,3,5,8]=>[2,1,2,3]=>10110100=>5 [4,6,7,8,2,5,3,1]=>[5,3,2,1,7,4,6,8]=>[1,1,1,2,3]=>11110100=>3 [6,8,4,5,2,7,3,1]=>[3,1,5,4,7,2,6,8]=>[1,2,2,3]=>11010100=>5 [6,3,8,4,2,7,5,1]=>[3,6,1,5,7,2,4,8]=>[2,3,3]=>10100100=>5 [7,2,5,3,8,6,4,1]=>[2,7,4,6,1,3,5,8]=>[2,2,4]=>10101000=>5 [3,4,7,5,8,6,2,1]=>[6,5,2,4,1,3,7,8]=>[1,1,2,4]=>11101000=>3 [3,6,7,4,8,5,2,1]=>[6,3,2,5,1,4,7,8]=>[1,1,2,4]=>11101000=>3 [6,7,4,2,8,5,3,1]=>[3,2,5,7,1,4,6,8]=>[1,3,4]=>11001000=>3 [4,7,5,2,8,6,3,1]=>[5,2,4,7,1,3,6,8]=>[1,3,4]=>11001000=>3 [2,7,5,3,8,6,4,1]=>[7,2,4,6,1,3,5,8]=>[1,3,4]=>11001000=>3 [5,6,2,8,3,7,4,1]=>[4,3,7,1,6,2,5,8]=>[1,2,2,3]=>11010100=>5 [5,7,8,3,2,6,4,1]=>[4,2,1,6,7,3,5,8]=>[1,1,3,3]=>11100100=>3 [5,6,8,3,2,7,4,1]=>[4,3,1,6,7,2,5,8]=>[1,1,3,3]=>11100100=>3 [3,6,8,4,2,7,5,1]=>[6,3,1,5,7,2,4,8]=>[1,1,3,3]=>11100100=>3 [1,5,8,2,7,3,6,4]=>[8,4,1,7,2,6,3,5]=>[1,1,2,2,2]=>11101010=>5 [5,8,4,7,2,3,6,1]=>[4,1,5,2,7,6,3,8]=>[1,2,2,1,2]=>11010110=>5 [5,6,8,1,3,7,4,2]=>[4,3,1,8,6,2,5,7]=>[1,1,2,1,3]=>11101100=>3 [6,7,4,8,1,5,3,2]=>[3,2,5,1,8,4,6,7]=>[1,2,2,3]=>11010100=>5 [5,7,2,8,3,6,4,1]=>[4,2,7,1,6,3,5,8]=>[1,2,2,3]=>11010100=>5 [1,7,4,8,6,2,5,3]=>[8,2,5,1,3,7,4,6]=>[1,2,3,2]=>11010010=>5 [7,4,2,8,6,1,5,3]=>[2,5,7,1,3,8,4,6]=>[3,3,2]=>10010010=>5 [6,8,5,3,7,2,4,1]=>[3,1,4,6,2,7,5,8]=>[1,3,2,2]=>11001010=>5 [6,8,5,2,3,7,4,1]=>[3,1,4,7,6,2,5,8]=>[1,3,1,3]=>11001100=>3 [6,7,3,4,8,5,2,1]=>[3,2,6,5,1,4,7,8]=>[1,2,1,4]=>11011000=>3 [3,6,4,7,8,5,2,1]=>[6,3,5,2,1,4,7,8]=>[1,2,1,4]=>11011000=>3 [6,4,2,7,8,5,3,1]=>[3,5,7,2,1,4,6,8]=>[3,1,4]=>10011000=>3 [7,4,2,5,8,6,3,1]=>[2,5,7,4,1,3,6,8]=>[3,1,4]=>10011000=>3 [6,1,8,3,4,7,5,2]=>[3,8,1,6,5,2,4,7]=>[2,2,1,3]=>10101100=>5 [6,8,4,2,5,7,3,1]=>[3,1,5,7,4,2,6,8]=>[1,3,1,3]=>11001100=>3 [7,5,8,3,4,6,2,1]=>[2,4,1,6,5,3,7,8]=>[2,2,1,3]=>10101100=>5 [7,4,5,8,1,6,3,2]=>[2,5,4,1,8,3,6,7]=>[2,1,2,3]=>10110100=>5 [6,3,4,7,8,5,2,1]=>[3,6,5,2,1,4,7,8]=>[2,1,1,4]=>10111000=>3 [6,1,7,3,4,5,8,2]=>[3,8,2,6,5,4,1,7]=>[2,2,1,1,2]=>10101110=>5 [5,7,2,3,4,1,8,6]=>[4,2,7,6,5,8,1,3]=>[1,2,1,2,2]=>11011010=>5 [2,7,1,8,4,5,6,3]=>[7,2,8,1,5,4,3,6]=>[1,2,2,1,2]=>11010110=>5 [2,6,8,3,4,5,1,7]=>[7,3,1,6,5,4,8,2]=>[1,1,2,1,2,1]=>11101101=>4 [6,1,2,7,4,5,8,3]=>[3,8,7,2,5,4,1,6]=>[2,1,2,1,2]=>10110110=>5 [4,7,2,3,1,5,8,6]=>[5,2,7,6,8,4,1,3]=>[1,2,2,1,2]=>11010110=>5 [2,7,1,3,8,5,6,4]=>[7,2,8,6,1,4,3,5]=>[1,2,1,2,2]=>11011010=>5 [2,6,7,8,4,5,3,1]=>[7,3,2,1,5,4,6,8]=>[1,1,1,2,3]=>11110100=>3 [2,5,8,3,4,1,6,7]=>[7,4,1,6,5,8,3,2]=>[1,1,2,2,1,1]=>11101011=>4 [5,6,2,7,4,3,8,1]=>[4,3,7,2,5,6,1,8]=>[1,2,3,2]=>11010010=>5 [4,6,7,3,2,5,8,1]=>[5,3,2,6,7,4,1,8]=>[1,1,3,1,2]=>11100110=>3 [2,6,7,3,8,5,4,1]=>[7,3,2,6,1,4,5,8]=>[1,1,2,4]=>11101000=>3 [2,6,1,8,4,5,3,7]=>[7,3,8,1,5,4,6,2]=>[1,2,2,2,1]=>11010101=>6 [2,5,7,8,4,3,6,1]=>[7,4,2,1,5,6,3,8]=>[1,1,1,3,2]=>11110010=>3 [3,6,8,4,5,7,1,2]=>[6,3,1,5,4,2,8,7]=>[1,1,2,1,2,1]=>11101101=>4 [1,6,8,4,7,2,3,5]=>[8,3,1,5,2,7,6,4]=>[1,1,2,2,1,1]=>11101011=>4 [1,4,5,7,8,2,6,3]=>[8,5,4,2,1,7,3,6]=>[1,1,1,1,2,2]=>11111010=>3 [3,4,5,7,8,6,1,2]=>[6,5,4,2,1,3,8,7]=>[1,1,1,1,3,1]=>11111001=>2 [3,4,5,7,6,8,1,2]=>[6,5,4,2,3,1,8,7]=>[1,1,1,2,2,1]=>11110101=>4 [3,6,7,4,8,5,1,2]=>[6,3,2,5,1,4,8,7]=>[1,1,2,3,1]=>11101001=>4 [3,4,5,6,8,7,1,2]=>[6,5,4,3,1,2,8,7]=>[1,1,1,1,3,1]=>11111001=>2 [1,4,5,8,7,2,3,6]=>[8,5,4,1,2,7,6,3]=>[1,1,1,3,1,1]=>11110011=>2 [1,2,5,8,3,6,4,7]=>[8,7,4,1,6,3,5,2]=>[1,1,1,2,2,1]=>11110101=>4 [1,4,5,8,6,2,3,7]=>[8,5,4,1,3,7,6,2]=>[1,1,1,3,1,1]=>11110011=>2 [7,8,1,4,6,2,3,5]=>[2,1,8,5,3,7,6,4]=>[1,2,1,2,1,1]=>11011011=>4 [1,6,7,4,8,2,5,3]=>[8,3,2,5,1,7,4,6]=>[1,1,2,2,2]=>11101010=>5 [1,4,5,6,8,2,7,3]=>[8,5,4,3,1,7,2,6]=>[1,1,1,1,2,2]=>11111010=>3 [1,4,5,8,6,2,7,3]=>[8,5,4,1,3,7,2,6]=>[1,1,1,3,2]=>11110010=>3 [1,2,5,8,3,4,7,6]=>[8,7,4,1,6,5,2,3]=>[1,1,1,2,1,2]=>11110110=>3 [1,6,7,2,3,5,8,4]=>[8,3,2,7,6,4,1,5]=>[1,1,2,1,1,2]=>11101110=>3 [7,8,1,2,3,5,4,6]=>[2,1,8,7,6,4,5,3]=>[1,2,1,1,2,1]=>11011101=>4 [1,6,7,2,3,5,4,8]=>[8,3,2,7,6,4,5,1]=>[1,1,2,1,2,1]=>11101101=>4 [1,4,5,7,6,2,3,8]=>[8,5,4,2,3,7,6,1]=>[1,1,1,3,1,1]=>11110011=>2 [1,2,5,7,3,6,4,8]=>[8,7,4,2,6,3,5,1]=>[1,1,1,2,2,1]=>11110101=>4 [1,2,5,7,3,6,8,4]=>[8,7,4,2,6,3,1,5]=>[1,1,1,2,1,2]=>11110110=>3 [1,6,8,2,3,5,7,4]=>[8,3,1,7,6,4,2,5]=>[1,1,2,1,1,2]=>11101110=>3 [1,6,8,4,5,2,3,7]=>[8,3,1,5,4,7,6,2]=>[1,1,2,2,1,1]=>11101011=>4 [1,6,8,4,5,2,7,3]=>[8,3,1,5,4,7,2,6]=>[1,1,2,2,2]=>11101010=>5 [1,6,8,2,3,4,7,5]=>[8,3,1,7,6,5,2,4]=>[1,1,2,1,1,2]=>11101110=>3 [1,6,8,2,3,7,4,5]=>[8,3,1,7,6,2,5,4]=>[1,1,2,1,2,1]=>11101101=>4 [1,4,5,7,6,2,8,3]=>[8,5,4,2,3,7,1,6]=>[1,1,1,3,2]=>11110010=>3 [7,8,1,4,5,2,6,3]=>[2,1,8,5,4,7,3,6]=>[1,2,1,2,2]=>11011010=>5 [7,8,1,2,3,4,6,5]=>[2,1,8,7,6,5,3,4]=>[1,2,1,1,1,2]=>11011110=>3 [7,8,1,2,3,6,4,5]=>[2,1,8,7,6,3,5,4]=>[1,2,1,1,2,1]=>11011101=>4 [1,6,7,2,3,8,5,4]=>[8,3,2,7,6,1,4,5]=>[1,1,2,1,3]=>11101100=>3 [1,2,5,6,3,8,7,4]=>[8,7,4,3,6,1,2,5]=>[1,1,1,2,3]=>11110100=>3 [4,2,1,6,5,3,8,7]=>[5,7,8,3,4,6,1,2]=>[3,3,2]=>10010010=>5 [8,2,4,3,1,6,5,7]=>[1,7,5,6,8,3,4,2]=>[2,3,2,1]=>10100101=>6 [4,2,6,3,5,1,8,7]=>[5,7,3,6,4,8,1,2]=>[2,2,2,2]=>10101010=>7 [4,6,2,1,5,8,7,3]=>[5,3,7,8,4,1,2,6]=>[1,3,1,3]=>11001100=>3 [4,6,5,2,1,8,7,3]=>[5,3,4,7,8,1,2,6]=>[1,4,3]=>11000100=>3 [2,1,6,4,3,8,7,5]=>[7,8,3,5,6,1,2,4]=>[2,3,3]=>10100100=>5 [4,8,2,1,6,7,3,5]=>[5,1,7,8,3,2,6,4]=>[1,3,1,2,1]=>11001101=>4 [6,8,2,1,4,3,7,5]=>[3,1,7,8,5,6,2,4]=>[1,3,2,2]=>11001010=>5 [8,6,2,4,3,1,5,7]=>[1,3,7,5,6,8,4,2]=>[3,3,1,1]=>10010011=>4 [6,8,2,4,3,1,7,5]=>[3,1,7,5,6,8,2,4]=>[1,2,3,2]=>11010010=>5 [6,8,7,2,4,3,1,5]=>[3,1,2,7,5,6,8,4]=>[1,3,3,1]=>11001001=>4 [2,1,8,4,6,5,3,7]=>[7,8,1,5,3,4,6,2]=>[2,2,3,1]=>10101001=>6 [2,1,6,4,8,5,7,3]=>[7,8,3,5,1,4,2,6]=>[2,2,2,2]=>10101010=>7 [4,6,5,2,8,3,7,1]=>[5,3,4,7,1,6,2,8]=>[1,3,2,2]=>11001010=>5 [2,6,4,5,8,3,7,1]=>[7,3,5,4,1,6,2,8]=>[1,2,1,2,2]=>11011010=>5 [6,4,2,8,3,5,7,1]=>[3,5,7,1,6,4,2,8]=>[3,2,1,2]=>10010110=>5 [8,4,2,6,3,5,1,7]=>[1,5,7,3,6,4,8,2]=>[3,2,2,1]=>10010101=>6 [6,2,4,8,5,3,7,1]=>[3,7,5,1,4,6,2,8]=>[2,1,3,2]=>10110010=>5 [4,2,6,3,5,8,7,1]=>[5,7,3,6,4,1,2,8]=>[2,2,1,3]=>10101100=>5 [4,2,6,3,8,7,5,1]=>[5,7,3,6,1,2,4,8]=>[2,2,4]=>10101000=>5 [6,2,4,3,8,5,7,1]=>[3,7,5,6,1,4,2,8]=>[2,2,2,2]=>10101010=>7 [8,2,4,3,6,5,1,7]=>[1,7,5,6,3,4,8,2]=>[2,2,3,1]=>10101001=>6 [8,2,1,4,6,5,3,7]=>[1,7,8,5,3,4,6,2]=>[3,1,3,1]=>10011001=>4 [6,2,1,4,8,5,7,3]=>[3,7,8,5,1,4,2,6]=>[3,1,2,2]=>10011010=>5 [6,2,1,8,7,4,3,5]=>[3,7,8,1,2,5,6,4]=>[3,4,1]=>10010001=>4 [6,2,1,8,4,3,7,5]=>[3,7,8,1,5,6,2,4]=>[3,3,2]=>10010010=>5 [8,4,6,5,2,1,3,7]=>[1,5,3,4,7,8,6,2]=>[2,4,1,1]=>10100011=>4 [6,4,8,5,2,1,7,3]=>[3,5,1,4,7,8,2,6]=>[2,4,2]=>10100010=>5 [6,4,8,5,7,2,1,3]=>[3,5,1,4,2,7,8,6]=>[2,2,3,1]=>10101001=>6 [4,6,8,7,5,2,1,3]=>[5,3,1,2,4,7,8,6]=>[1,1,5,1]=>11100001=>2 [2,1,4,8,6,7,3,5]=>[7,8,5,1,3,2,6,4]=>[2,1,2,2,1]=>10110101=>6 [2,6,8,7,4,5,1,3]=>[7,3,1,2,5,4,8,6]=>[1,1,3,2,1]=>11100101=>4 [2,4,8,6,7,5,1,3]=>[7,5,1,3,2,4,8,6]=>[1,1,2,3,1]=>11101001=>4 [4,2,8,6,5,7,1,3]=>[5,7,1,3,4,2,8,6]=>[2,3,2,1]=>10100101=>6 [8,2,6,4,5,1,3,7]=>[1,7,3,5,4,8,6,2]=>[2,2,2,1,1]=>10101011=>6 [8,4,6,2,1,5,3,7]=>[1,5,3,7,8,4,6,2]=>[2,3,2,1]=>10100101=>6 [4,6,8,7,2,1,5,3]=>[5,3,1,2,7,8,4,6]=>[1,1,4,2]=>11100010=>3 [4,6,5,8,2,1,7,3]=>[5,3,4,1,7,8,2,6]=>[1,2,3,2]=>11010010=>5 [2,1,6,8,4,3,7,5]=>[7,8,3,1,5,6,2,4]=>[2,1,3,2]=>10110010=>5 [6,8,7,4,2,1,3,5]=>[3,1,2,5,7,8,6,4]=>[1,5,1,1]=>11000011=>2 [2,8,6,4,7,1,3,5]=>[7,1,3,5,2,8,6,4]=>[1,3,2,1,1]=>11001011=>4 [4,8,6,2,1,7,3,5]=>[5,1,3,7,8,2,6,4]=>[1,4,2,1]=>11000101=>4 [2,7,4,8,3,5,6,1]=>[7,2,5,1,6,4,3,8]=>[1,2,2,1,2]=>11010110=>5 [8,4,1,5,3,2,6,7]=>[1,5,8,4,6,7,3,2]=>[3,3,1,1]=>10010011=>4 [6,7,3,8,4,2,5,1]=>[3,2,6,1,5,7,4,8]=>[1,2,3,2]=>11010010=>5 [6,7,3,8,4,2,1,5]=>[3,2,6,1,5,7,8,4]=>[1,2,4,1]=>11010001=>4 [1,7,8,4,3,5,2,6]=>[8,2,1,5,6,4,7,3]=>[1,1,3,2,1]=>11100101=>4 [7,1,4,8,3,5,2,6]=>[2,8,5,1,6,4,7,3]=>[2,1,2,2,1]=>10110101=>6 [7,4,8,1,5,6,2,3]=>[2,5,1,8,4,3,7,6]=>[2,2,1,2,1]=>10101101=>6 [7,1,8,4,3,5,6,2]=>[2,8,1,5,6,4,3,7]=>[2,3,1,2]=>10100110=>5 [6,7,3,1,8,4,5,2]=>[3,2,6,8,1,5,4,7]=>[1,3,2,2]=>11001010=>5 [6,7,3,8,4,5,2,1]=>[3,2,6,1,5,4,7,8]=>[1,2,2,3]=>11010100=>5 [6,7,1,4,8,3,5,2]=>[3,2,8,5,1,6,4,7]=>[1,2,1,2,2]=>11011010=>5 [6,7,4,1,3,8,2,5]=>[3,2,5,8,6,1,7,4]=>[1,3,1,2,1]=>11001101=>4 [7,2,1,8,4,5,3,6]=>[2,7,8,1,5,4,6,3]=>[3,2,2,1]=>10010101=>6 [6,2,7,8,4,3,1,5]=>[3,7,2,1,5,6,8,4]=>[2,1,4,1]=>10110001=>4 [6,2,7,8,4,3,5,1]=>[3,7,2,1,5,6,4,8]=>[2,1,3,2]=>10110010=>5 [2,6,7,4,8,3,5,1]=>[7,3,2,5,1,6,4,8]=>[1,1,2,2,2]=>11101010=>5 [2,6,7,4,8,3,1,5]=>[7,3,2,5,1,6,8,4]=>[1,1,2,3,1]=>11101001=>4 [7,8,1,3,6,2,4,5]=>[2,1,8,6,3,7,5,4]=>[1,2,1,2,1,1]=>11011011=>4 [2,6,7,8,5,3,1,4]=>[7,3,2,1,4,6,8,5]=>[1,1,1,4,1]=>11110001=>2 [2,6,7,8,5,3,4,1]=>[7,3,2,1,4,6,5,8]=>[1,1,1,3,2]=>11110010=>3 [6,2,7,8,4,5,3,1]=>[3,7,2,1,5,4,6,8]=>[2,1,2,3]=>10110100=>5 [7,2,1,8,4,5,6,3]=>[2,7,8,1,5,4,3,6]=>[3,2,1,2]=>10010110=>5 [1,7,2,8,4,5,6,3]=>[8,2,7,1,5,4,3,6]=>[1,2,2,1,2]=>11010110=>5 [3,7,8,1,5,6,2,4]=>[6,2,1,8,4,3,7,5]=>[1,1,2,1,2,1]=>11101101=>4 [6,3,7,8,1,5,2,4]=>[3,6,2,1,8,4,7,5]=>[2,1,2,2,1]=>10110101=>6 [6,7,1,2,8,5,3,4]=>[3,2,8,7,1,4,6,5]=>[1,2,1,3,1]=>11011001=>4 [1,6,7,8,4,2,5,3]=>[8,3,2,1,5,7,4,6]=>[1,1,1,3,2]=>11110010=>3 [3,1,2,7,6,5,8,4]=>[6,8,7,2,3,4,1,5]=>[2,1,3,2]=>10110010=>5 [6,1,2,4,7,3,8,5]=>[3,8,7,5,2,6,1,4]=>[2,1,1,2,2]=>10111010=>5 [1,7,5,3,6,4,8,2]=>[8,2,4,6,3,5,1,7]=>[1,3,2,2]=>11001010=>5 [5,1,2,6,7,4,8,3]=>[4,8,7,3,2,5,1,6]=>[2,1,1,2,2]=>10111010=>5 [4,1,5,7,3,2,6,8]=>[5,8,4,2,6,7,3,1]=>[2,1,3,1,1]=>10110011=>4 [4,6,1,7,3,2,5,8]=>[5,3,8,2,6,7,4,1]=>[1,2,3,1,1]=>11010011=>4 [4,6,1,8,3,2,5,7]=>[5,3,8,1,6,7,4,2]=>[1,2,3,1,1]=>11010011=>4 [4,7,1,8,3,5,2,6]=>[5,2,8,1,6,4,7,3]=>[1,2,2,2,1]=>11010101=>6 [4,1,7,8,6,2,3,5]=>[5,8,2,1,3,7,6,4]=>[2,1,3,1,1]=>10110011=>4 [1,6,5,7,8,3,4,2]=>[8,3,4,2,1,6,5,7]=>[1,2,1,2,2]=>11011010=>5 [1,6,5,8,7,3,4,2]=>[8,3,4,1,2,6,5,7]=>[1,2,3,2]=>11010010=>5 [4,1,8,7,6,2,3,5]=>[5,8,1,2,3,7,6,4]=>[2,4,1,1]=>10100011=>4 [4,8,1,7,3,5,2,6]=>[5,1,8,2,6,4,7,3]=>[1,2,2,2,1]=>11010101=>6 [4,8,1,6,3,2,5,7]=>[5,1,8,3,6,7,4,2]=>[1,2,3,1,1]=>11010011=>4 [4,7,1,6,3,2,5,8]=>[5,2,8,3,6,7,4,1]=>[1,2,3,1,1]=>11010011=>4 [6,1,2,3,7,5,4,8]=>[3,8,7,6,2,4,5,1]=>[2,1,1,3,1]=>10111001=>4 [6,8,1,5,3,7,2,4]=>[3,1,8,4,6,2,7,5]=>[1,2,2,2,1]=>11010101=>6 [8,7,5,2,4,1,6,3]=>[1,2,4,7,5,8,3,6]=>[4,2,2]=>10001010=>5 [1,5,7,3,4,8,6,2]=>[8,4,2,6,5,1,3,7]=>[1,1,2,1,3]=>11101100=>3 [1,5,8,3,4,7,6,2]=>[8,4,1,6,5,2,3,7]=>[1,1,2,1,3]=>11101100=>3 [7,8,5,2,4,1,6,3]=>[2,1,4,7,5,8,3,6]=>[1,3,2,2]=>11001010=>5 [7,1,2,3,5,6,4,8]=>[2,8,7,6,4,3,5,1]=>[2,1,1,1,2,1]=>10111101=>4 [8,1,2,3,5,6,4,7]=>[1,8,7,6,4,3,5,2]=>[2,1,1,1,2,1]=>10111101=>4 [8,1,2,3,5,4,7,6]=>[1,8,7,6,4,5,2,3]=>[2,1,1,2,2]=>10111010=>5 [7,1,8,4,6,3,2,5]=>[2,8,1,5,3,6,7,4]=>[2,2,3,1]=>10101001=>6 [6,8,2,4,3,1,5,7]=>[3,1,7,5,6,8,4,2]=>[1,2,3,1,1]=>11010011=>4 [6,7,2,4,3,1,5,8]=>[3,2,7,5,6,8,4,1]=>[1,2,3,1,1]=>11010011=>4 [3,8,1,2,4,5,7,6]=>[6,1,8,7,5,4,2,3]=>[1,2,1,1,1,2]=>11011110=>3 [3,7,1,8,6,4,2,5]=>[6,2,8,1,3,5,7,4]=>[1,2,4,1]=>11010001=>4 [1,6,4,3,7,5,8,2]=>[8,3,5,6,2,4,1,7]=>[1,3,2,2]=>11001010=>5 [3,1,2,6,7,5,8,4]=>[6,8,7,3,2,4,1,5]=>[2,1,1,2,2]=>10111010=>5 [3,8,1,7,6,4,2,5]=>[6,1,8,2,3,5,7,4]=>[1,2,4,1]=>11010001=>4 [7,6,2,4,3,1,5,8]=>[2,3,7,5,6,8,4,1]=>[3,3,1,1]=>10010011=>4 [8,7,2,4,3,5,1,6]=>[1,2,7,5,6,4,8,3]=>[3,2,2,1]=>10010101=>6 [8,1,7,4,6,3,2,5]=>[1,8,2,5,3,6,7,4]=>[2,2,3,1]=>10101001=>6 [8,1,7,6,5,3,2,4]=>[1,8,2,3,4,6,7,5]=>[2,5,1]=>10100001=>4 [1,5,7,3,4,6,8,2]=>[8,4,2,6,5,3,1,7]=>[1,1,2,1,1,2]=>11101110=>3 [8,7,2,5,3,6,1,4]=>[1,2,7,4,6,3,8,5]=>[3,2,2,1]=>10010101=>6 [7,1,2,3,5,4,8,6]=>[2,8,7,6,4,5,1,3]=>[2,1,1,2,2]=>10111010=>5 [6,1,2,3,5,8,4,7]=>[3,8,7,6,4,1,5,2]=>[2,1,1,1,2,1]=>10111101=>4 [6,1,2,3,5,7,4,8]=>[3,8,7,6,4,2,5,1]=>[2,1,1,1,2,1]=>10111101=>4 [5,1,2,3,7,6,4,8]=>[4,8,7,6,2,3,5,1]=>[2,1,1,3,1]=>10111001=>4 [5,1,2,3,8,6,4,7]=>[4,8,7,6,1,3,5,2]=>[2,1,1,3,1]=>10111001=>4 [1,5,6,3,4,7,8,2]=>[8,4,3,6,5,2,1,7]=>[1,1,2,1,1,2]=>11101110=>3 [8,6,5,2,4,7,1,3]=>[1,3,4,7,5,2,8,6]=>[4,1,2,1]=>10001101=>4 [7,6,2,5,3,1,8,4]=>[2,3,7,4,6,8,1,5]=>[3,3,2]=>10010010=>5 [7,4,5,2,3,8,6,1]=>[2,5,4,7,6,1,3,8]=>[2,2,1,3]=>10101100=>5 [8,2,3,7,4,5,1,6]=>[1,7,6,2,5,4,8,3]=>[2,1,2,2,1]=>10110101=>6 [8,4,7,3,2,5,1,6]=>[1,5,2,6,7,4,8,3]=>[2,3,2,1]=>10100101=>6 [5,4,6,3,1,2,8,7]=>[4,5,3,6,8,7,1,2]=>[2,3,1,2]=>10100110=>5 [4,6,2,3,1,5,8,7]=>[5,3,7,6,8,4,1,2]=>[1,2,2,1,2]=>11010110=>5 [7,2,3,4,5,8,6,1]=>[2,7,6,5,4,1,3,8]=>[2,1,1,1,3]=>10111100=>3 [8,2,3,4,5,7,1,6]=>[1,7,6,5,4,2,8,3]=>[2,1,1,1,2,1]=>10111101=>4 [7,3,4,6,8,5,1,2]=>[2,6,5,3,1,4,8,7]=>[2,1,1,3,1]=>10111001=>4 [4,7,3,2,8,6,1,5]=>[5,2,6,7,1,3,8,4]=>[1,3,3,1]=>11001001=>4 [3,7,4,5,1,8,6,2]=>[6,2,5,4,8,1,3,7]=>[1,2,2,3]=>11010100=>5 [3,8,2,6,7,4,5,1]=>[6,1,7,3,2,5,4,8]=>[1,2,1,2,2]=>11011010=>5 [4,8,1,5,6,7,3,2]=>[5,1,8,4,3,2,6,7]=>[1,2,1,1,3]=>11011100=>3 [5,8,2,4,6,7,1,3]=>[4,1,7,5,3,2,8,6]=>[1,2,1,1,2,1]=>11011101=>4 [6,8,1,3,4,2,7,5]=>[3,1,8,6,5,7,2,4]=>[1,2,1,2,2]=>11011010=>5 [5,8,2,4,3,1,7,6]=>[4,1,7,5,6,8,2,3]=>[1,2,3,2]=>11010010=>5 [2,1,7,6,8,5,3,4]=>[7,8,2,3,1,4,6,5]=>[2,2,3,1]=>10101001=>6 [3,7,6,1,8,5,2,4]=>[6,2,3,8,1,4,7,5]=>[1,3,3,1]=>11001001=>4 [4,7,2,3,8,5,1,6]=>[5,2,7,6,1,4,8,3]=>[1,2,1,3,1]=>11011001=>4 [7,1,3,6,4,8,5,2]=>[2,8,6,3,5,1,4,7]=>[2,1,2,3]=>10110100=>5 [7,6,1,4,8,5,2,3]=>[2,3,8,5,1,4,7,6]=>[3,1,3,1]=>10011001=>4 [6,2,3,7,8,5,4,1]=>[3,7,6,2,1,4,5,8]=>[2,1,1,4]=>10111000=>3 [6,2,3,8,4,5,1,7]=>[3,7,6,1,5,4,8,2]=>[2,1,2,2,1]=>10110101=>6 [7,2,3,6,8,4,1,5]=>[2,7,6,3,1,5,8,4]=>[2,1,1,3,1]=>10111001=>4 [8,2,3,5,7,1,4,6]=>[1,7,6,4,2,8,5,3]=>[2,1,1,2,1,1]=>10111011=>4 [6,4,8,3,5,1,7,2]=>[3,5,1,6,4,8,2,7]=>[2,2,2,2]=>10101010=>7 [5,4,8,3,6,7,1,2]=>[4,5,1,6,3,2,8,7]=>[2,2,1,2,1]=>10101101=>6 [3,5,1,8,4,6,7,2]=>[6,4,8,1,5,3,2,7]=>[1,2,2,1,2]=>11010110=>5 [3,6,1,8,4,5,2,7]=>[6,3,8,1,5,4,7,2]=>[1,2,2,2,1]=>11010101=>6 [4,6,8,3,5,2,7,1]=>[5,3,1,6,4,7,2,8]=>[1,1,2,2,2]=>11101010=>5 [5,7,8,3,2,4,1,6]=>[4,2,1,6,7,5,8,3]=>[1,1,3,2,1]=>11100101=>4 [4,8,2,3,5,6,1,7]=>[5,1,7,6,4,3,8,2]=>[1,2,1,1,2,1]=>11011101=>4 [6,8,2,3,1,4,5,7]=>[3,1,7,6,8,5,4,2]=>[1,2,2,1,1,1]=>11010111=>4 [5,2,7,4,8,3,1,6]=>[4,7,2,5,1,6,8,3]=>[2,2,3,1]=>10101001=>6 [3,7,8,2,1,4,6,5]=>[6,2,1,7,8,5,3,4]=>[1,1,3,1,2]=>11100110=>3 [3,7,5,2,8,4,1,6]=>[6,2,4,7,1,5,8,3]=>[1,3,3,1]=>11001001=>4 [6,3,2,4,1,8,7,5]=>[3,6,7,5,8,1,2,4]=>[3,2,3]=>10010100=>5 [7,2,3,4,8,5,1,6]=>[2,7,6,5,1,4,8,3]=>[2,1,1,3,1]=>10111001=>4 [5,7,3,1,4,2,6,8]=>[4,2,6,8,5,7,3,1]=>[1,3,2,1,1]=>11001011=>4 [6,3,7,4,8,1,2,5]=>[3,6,2,5,1,8,7,4]=>[2,2,2,1,1]=>10101011=>6 [8,3,7,4,2,6,1,5]=>[1,6,2,5,7,3,8,4]=>[2,3,2,1]=>10100101=>6 [3,7,4,1,5,6,2,8]=>[6,2,5,8,4,3,7,1]=>[1,3,1,2,1]=>11001101=>4 [1,8,3,2,4,5,7,6]=>[8,1,6,7,5,4,2,3]=>[1,3,1,1,2]=>11001110=>3 [8,4,1,6,3,7,5,2]=>[1,5,8,3,6,2,4,7]=>[3,2,3]=>10010100=>5 [8,7,4,2,1,6,3,5]=>[1,2,5,7,8,3,6,4]=>[5,2,1]=>10000101=>4 [8,3,5,2,7,4,1,6]=>[1,6,4,7,2,5,8,3]=>[2,2,3,1]=>10101001=>6 [1,5,3,8,7,6,4,2]=>[8,4,6,1,2,3,5,7]=>[1,2,5]=>11010000=>3 [7,2,4,8,1,3,6,5]=>[2,7,5,1,8,6,3,4]=>[2,1,2,1,2]=>10110110=>5 [1,2,8,7,5,6,3,4]=>[8,7,1,2,4,3,6,5]=>[1,1,3,2,1]=>11100101=>4 [3,1,8,6,7,5,2,4]=>[6,8,1,3,2,4,7,5]=>[2,2,3,1]=>10101001=>6 [1,4,8,6,5,7,2,3]=>[8,5,1,3,4,2,7,6]=>[1,1,3,2,1]=>11100101=>4 [1,6,5,4,8,2,3,7]=>[8,3,4,5,1,7,6,2]=>[1,3,2,1,1]=>11001011=>4 [5,1,6,8,3,4,2,7]=>[4,8,3,1,6,5,7,2]=>[2,1,2,2,1]=>10110101=>6 [6,2,5,1,7,4,3,8]=>[3,7,4,8,2,5,6,1]=>[2,2,3,1]=>10101001=>6 [5,2,1,8,7,4,3,6]=>[4,7,8,1,2,5,6,3]=>[3,4,1]=>10010001=>4 [5,2,6,3,8,1,4,7]=>[4,7,3,6,1,8,5,2]=>[2,2,2,1,1]=>10101011=>6 [5,2,8,3,4,6,1,7]=>[4,7,1,6,5,3,8,2]=>[2,2,1,2,1]=>10101101=>6 [6,2,8,4,3,1,7,5]=>[3,7,1,5,6,8,2,4]=>[2,4,2]=>10100010=>5 [7,2,8,1,3,6,5,4]=>[2,7,1,8,6,3,4,5]=>[2,2,1,3]=>10101100=>5 [7,3,8,1,4,6,2,5]=>[2,6,1,8,5,3,7,4]=>[2,2,1,2,1]=>10101101=>6 [1,7,8,5,4,6,3,2]=>[8,2,1,4,5,3,6,7]=>[1,1,3,3]=>11100100=>3 [1,5,8,4,6,3,7,2]=>[8,4,1,5,3,6,2,7]=>[1,1,2,2,2]=>11101010=>5 [5,3,8,4,1,2,7,6]=>[4,6,1,5,8,7,2,3]=>[2,3,1,2]=>10100110=>5 [5,8,4,3,6,2,1,7]=>[4,1,5,6,3,7,8,2]=>[1,3,3,1]=>11001001=>4 [1,8,3,6,5,2,7,4]=>[8,1,6,3,4,7,2,5]=>[1,2,3,2]=>11010010=>5 [1,8,2,4,7,6,5,3]=>[8,1,7,5,2,3,4,6]=>[1,2,1,4]=>11011000=>3 [3,8,1,4,6,7,5,2]=>[6,1,8,5,3,2,4,7]=>[1,2,1,1,3]=>11011100=>3 [3,8,2,5,1,7,6,4]=>[6,1,7,4,8,2,3,5]=>[1,2,2,3]=>11010100=>5 [4,3,8,2,5,1,6,7]=>[5,6,1,7,4,8,3,2]=>[2,2,2,1,1]=>10101011=>6 [8,2,4,3,5,1,7,6]=>[1,7,5,6,4,8,2,3]=>[2,2,2,2]=>10101010=>7 [8,2,1,4,6,5,7,3]=>[1,7,8,5,3,4,2,6]=>[3,1,2,2]=>10011010=>5 [8,1,3,4,5,7,6,2]=>[1,8,6,5,4,2,3,7]=>[2,1,1,1,3]=>10111100=>3 [6,1,5,2,4,7,8,3]=>[3,8,4,7,5,2,1,6]=>[2,2,1,1,2]=>10101110=>5 [4,1,8,5,2,7,6,3]=>[5,8,1,4,7,2,3,6]=>[2,3,3]=>10100100=>5 [4,8,5,1,3,6,2,7]=>[5,1,4,8,6,3,7,2]=>[1,3,1,2,1]=>11001101=>4 [3,6,1,5,7,2,8,4]=>[6,3,8,4,2,7,1,5]=>[1,2,1,2,2]=>11011010=>5 [6,3,1,2,8,5,7,4]=>[3,6,8,7,1,4,2,5]=>[3,1,2,2]=>10011010=>5 [4,1,8,2,3,7,5,6]=>[5,8,1,7,6,2,4,3]=>[2,2,1,2,1]=>10101101=>6 [5,3,8,7,2,1,4,6]=>[4,6,1,2,7,8,5,3]=>[2,4,1,1]=>10100011=>4 [6,7,3,5,1,4,8,2]=>[3,2,6,4,8,5,1,7]=>[1,2,2,1,2]=>11010110=>5 [6,4,7,5,8,2,3,1]=>[3,5,2,4,1,7,6,8]=>[2,2,2,2]=>10101010=>7 [5,7,8,4,2,6,3,1]=>[4,2,1,5,7,3,6,8]=>[1,1,3,3]=>11100100=>3 [5,7,4,1,6,8,3,2]=>[4,2,5,8,3,1,6,7]=>[1,3,1,3]=>11001100=>3 [6,8,4,5,7,1,3,2]=>[3,1,5,4,2,8,6,7]=>[1,2,1,2,2]=>11011010=>5 [5,8,4,6,1,7,3,2]=>[4,1,5,3,8,2,6,7]=>[1,2,2,3]=>11010100=>5 [5,6,1,4,7,8,3,2]=>[4,3,8,5,2,1,6,7]=>[1,2,1,1,3]=>11011100=>3 [5,6,7,2,4,8,3,1]=>[4,3,2,7,5,1,6,8]=>[1,1,2,1,3]=>11101100=>3 [5,6,3,7,4,8,2,1]=>[4,3,6,2,5,1,7,8]=>[1,2,2,3]=>11010100=>5 [5,3,6,7,4,8,2,1]=>[4,6,3,2,5,1,7,8]=>[2,1,2,3]=>10110100=>5 [5,4,8,2,6,7,3,1]=>[4,5,1,7,3,2,6,8]=>[2,2,1,3]=>10101100=>5 [6,4,8,5,7,2,3,1]=>[3,5,1,4,2,7,6,8]=>[2,2,2,2]=>10101010=>7 [7,4,8,5,6,2,1,3]=>[2,5,1,4,3,7,8,6]=>[2,2,3,1]=>10101001=>6 [4,6,8,5,7,2,3,1]=>[5,3,1,4,2,7,6,8]=>[1,1,2,2,2]=>11101010=>5 [5,6,3,8,4,7,2,1]=>[4,3,6,1,5,2,7,8]=>[1,2,2,3]=>11010100=>5 [4,6,3,5,8,7,2,1]=>[5,3,6,4,1,2,7,8]=>[1,2,1,4]=>11011000=>3 [4,6,3,2,8,7,5,1]=>[5,3,6,7,1,2,4,8]=>[1,3,4]=>11001000=>3 [5,6,3,8,2,7,4,1]=>[4,3,6,1,7,2,5,8]=>[1,2,2,3]=>11010100=>5 [5,3,6,8,2,7,4,1]=>[4,6,3,1,7,2,5,8]=>[2,1,2,3]=>10110100=>5 [4,3,7,2,8,6,5,1]=>[5,6,2,7,1,3,4,8]=>[2,2,4]=>10101000=>5 [5,4,7,2,6,8,3,1]=>[4,5,2,7,3,1,6,8]=>[2,2,1,3]=>10101100=>5 [5,3,2,7,6,8,4,1]=>[4,6,7,2,3,1,5,8]=>[3,2,3]=>10010100=>5 [6,7,3,8,5,2,4,1]=>[3,2,6,1,4,7,5,8]=>[1,2,3,2]=>11010010=>5 [6,4,7,2,5,3,8,1]=>[3,5,2,7,4,6,1,8]=>[2,2,2,2]=>10101010=>7 [6,2,7,5,1,4,8,3]=>[3,7,2,4,8,5,1,6]=>[2,3,1,2]=>10100110=>5 [2,7,8,5,3,6,1,4]=>[7,2,1,4,6,3,8,5]=>[1,1,3,2,1]=>11100101=>4 [3,5,7,8,4,6,2,1]=>[6,4,2,1,5,3,7,8]=>[1,1,1,2,3]=>11110100=>3 [5,3,7,8,4,6,2,1]=>[4,6,2,1,5,3,7,8]=>[2,1,2,3]=>10110100=>5 [5,7,8,2,4,6,3,1]=>[4,2,1,7,5,3,6,8]=>[1,1,2,1,3]=>11101100=>3 [2,5,8,4,3,7,6,1]=>[7,4,1,5,6,2,3,8]=>[1,1,3,3]=>11100100=>3 [2,6,8,4,7,3,5,1]=>[7,3,1,5,2,6,4,8]=>[1,1,2,2,2]=>11101010=>5 [3,7,4,8,6,2,1,5]=>[6,2,5,1,3,7,8,4]=>[1,2,4,1]=>11010001=>4 [3,6,4,8,7,2,5,1]=>[6,3,5,1,2,7,4,8]=>[1,2,3,2]=>11010010=>5 [3,5,4,8,2,7,6,1]=>[6,4,5,1,7,2,3,8]=>[1,2,2,3]=>11010100=>5 [4,3,7,5,8,6,2,1]=>[5,6,2,4,1,3,7,8]=>[2,2,4]=>10101000=>5 [4,5,7,3,8,6,2,1]=>[5,4,2,6,1,3,7,8]=>[1,1,2,4]=>11101000=>3 [3,5,6,8,4,7,2,1]=>[6,4,3,1,5,2,7,8]=>[1,1,1,2,3]=>11110100=>3 [6,3,1,8,7,5,4,2]=>[3,6,8,1,2,4,5,7]=>[3,5]=>10010000=>3 [5,4,8,1,7,6,3,2]=>[4,5,1,8,2,3,6,7]=>[2,2,4]=>10101000=>5 [5,8,4,1,7,6,3,2]=>[4,1,5,8,2,3,6,7]=>[1,3,4]=>11001000=>3 [7,5,4,1,8,6,3,2]=>[2,4,5,8,1,3,6,7]=>[4,4]=>10001000=>3 [8,5,4,1,7,6,3,2]=>[1,4,5,8,2,3,6,7]=>[4,4]=>10001000=>3 [1,8,2,5,6,3,4,7]=>[8,1,7,4,3,6,5,2]=>[1,2,1,2,1,1]=>11011011=>4 [7,2,8,4,5,1,3,6]=>[2,7,1,5,4,8,6,3]=>[2,2,2,1,1]=>10101011=>6 [1,3,7,5,6,2,4,8]=>[8,6,2,4,3,7,5,1]=>[1,1,2,2,1,1]=>11101011=>4 [1,6,7,4,3,5,2,8]=>[8,3,2,5,6,4,7,1]=>[1,1,3,2,1]=>11100101=>4 [1,8,5,2,3,7,4,6]=>[8,1,4,7,6,2,5,3]=>[1,3,1,2,1]=>11001101=>4 [1,8,2,5,3,6,7,4]=>[8,1,7,4,6,3,2,5]=>[1,2,2,1,2]=>11010110=>5 [2,6,8,4,3,5,7,1]=>[7,3,1,5,6,4,2,8]=>[1,1,3,1,2]=>11100110=>3 [7,5,8,3,2,1,6,4]=>[2,4,1,6,7,8,3,5]=>[2,4,2]=>10100010=>5 [7,2,8,4,1,5,6,3]=>[2,7,1,5,8,4,3,6]=>[2,3,1,2]=>10100110=>5 [7,5,8,1,2,6,3,4]=>[2,4,1,8,7,3,6,5]=>[2,2,1,2,1]=>10101101=>6 [1,6,7,4,3,2,8,5]=>[8,3,2,5,6,7,1,4]=>[1,1,4,2]=>11100010=>3 [1,5,2,6,4,7,8,3]=>[8,4,7,3,5,2,1,6]=>[1,2,2,1,2]=>11010110=>5 [1,5,4,6,2,3,7,8]=>[8,4,5,3,7,6,2,1]=>[1,2,2,1,1,1]=>11010111=>4 [6,2,5,7,1,4,8,3]=>[3,7,4,2,8,5,1,6]=>[2,1,2,1,2]=>10110110=>5 [6,5,4,3,8,1,7,2]=>[3,4,5,6,1,8,2,7]=>[4,2,2]=>10001010=>5 [7,3,6,8,5,2,4,1]=>[2,6,3,1,4,7,5,8]=>[2,1,3,2]=>10110010=>5 [2,7,8,3,6,5,1,4]=>[7,2,1,6,3,4,8,5]=>[1,1,2,3,1]=>11101001=>4 [2,7,8,5,4,6,3,1]=>[7,2,1,4,5,3,6,8]=>[1,1,3,3]=>11100100=>3 [2,6,5,8,3,4,1,7]=>[7,3,4,1,6,5,8,2]=>[1,2,2,2,1]=>11010101=>6 [2,6,5,7,3,4,1,8]=>[7,3,4,2,6,5,8,1]=>[1,2,2,2,1]=>11010101=>6 [6,2,5,7,4,1,3,8]=>[3,7,4,2,5,8,6,1]=>[2,1,3,1,1]=>10110011=>4 [6,2,5,8,4,1,3,7]=>[3,7,4,1,5,8,6,2]=>[2,1,3,1,1]=>10110011=>4 [2,7,8,4,6,1,3,5]=>[7,2,1,5,3,8,6,4]=>[1,1,2,2,1,1]=>11101011=>4 [6,1,2,8,3,7,4,5]=>[3,8,7,1,6,2,5,4]=>[2,1,2,2,1]=>10110101=>6 [6,1,2,8,5,4,7,3]=>[3,8,7,1,4,5,2,6]=>[2,1,3,2]=>10110010=>5 [6,2,5,7,8,1,3,4]=>[3,7,4,2,1,8,6,5]=>[2,1,1,2,1,1]=>10111011=>4 [1,5,4,2,6,7,3,8]=>[8,4,5,7,3,2,6,1]=>[1,3,1,2,1]=>11001101=>4 [2,6,5,7,3,8,1,4]=>[7,3,4,2,6,1,8,5]=>[1,2,2,2,1]=>11010101=>6 [1,6,2,7,5,8,4,3]=>[8,3,7,2,4,1,5,6]=>[1,2,2,3]=>11010100=>5 [1,3,2,7,8,5,6,4]=>[8,6,7,2,1,4,3,5]=>[1,2,1,2,2]=>11011010=>5 [1,6,2,4,8,7,3,5]=>[8,3,7,5,1,2,6,4]=>[1,2,1,3,1]=>11011001=>4 [6,5,2,1,8,7,3,4]=>[3,4,7,8,1,2,6,5]=>[4,3,1]=>10001001=>4 [2,6,5,3,7,8,4,1]=>[7,3,4,6,2,1,5,8]=>[1,3,1,3]=>11001100=>3 [6,2,5,3,8,4,7,1]=>[3,7,4,6,1,5,2,8]=>[2,2,2,2]=>10101010=>7 [6,5,2,3,8,7,1,4]=>[3,4,7,6,1,2,8,5]=>[3,1,3,1]=>10011001=>4 [5,4,1,2,3,8,6,7]=>[4,5,8,7,6,1,3,2]=>[3,1,1,2,1]=>10011101=>4 [5,1,4,2,3,7,8,6]=>[4,8,5,7,6,2,1,3]=>[2,2,1,1,2]=>10101110=>5 [1,5,4,2,6,3,8,7]=>[8,4,5,7,3,6,1,2]=>[1,3,2,2]=>11001010=>5 [5,1,6,3,8,2,7,4]=>[4,8,3,6,1,7,2,5]=>[2,2,2,2]=>10101010=>7 [8,7,6,5,4,2,1,3,9]=>[2,3,4,5,6,8,9,7,1]=>[7,1,1]=>100000011=>2 [8,7,6,5,4,1,3,2,9]=>[2,3,4,5,6,9,7,8,1]=>[6,2,1]=>100000101=>4 [1,9,8,7,6,5,3,2,4]=>[9,1,2,3,4,5,7,8,6]=>[1,7,1]=>110000001=>2 [1,8,7,6,2,5,4,3]=>[8,1,2,3,7,4,5,6]=>[1,4,3]=>11000100=>3 [1,9,8,7,6,5,2,4,3]=>[9,1,2,3,4,5,8,6,7]=>[1,6,2]=>110000010=>3 [2,1,9,8,7,6,5,4,3]=>[8,9,1,2,3,4,5,6,7]=>[2,7]=>101000000=>3 [1,2,9,8,7,6,5,4,3]=>[9,8,1,2,3,4,5,6,7]=>[1,1,7]=>111000000=>1 [3,2,1,9,8,7,6,5,4]=>[7,8,9,1,2,3,4,5,6]=>[3,6]=>100100000=>3 [1,3,2,9,8,7,6,5,4]=>[9,7,8,1,2,3,4,5,6]=>[1,2,6]=>110100000=>3 [1,2,3,9,8,7,6,5,4]=>[9,8,7,1,2,3,4,5,6]=>[1,1,1,6]=>111100000=>1 [4,3,2,1,9,8,7,6,5]=>[6,7,8,9,1,2,3,4,5]=>[4,5]=>100010000=>3 [1,4,3,2,9,8,7,6,5]=>[9,6,7,8,1,2,3,4,5]=>[1,3,5]=>110010000=>3 [1,2,4,3,9,8,7,6,5]=>[9,8,6,7,1,2,3,4,5]=>[1,1,2,5]=>111010000=>3 [1,2,3,4,9,8,7,6,5]=>[9,8,7,6,1,2,3,4,5]=>[1,1,1,1,5]=>111110000=>1 [1,5,4,3,2,9,8,7,6]=>[9,5,6,7,8,1,2,3,4]=>[1,4,4]=>110001000=>3 [1,2,3,5,4,9,8,7,6]=>[9,8,7,5,6,1,2,3,4]=>[1,1,1,2,4]=>111101000=>3 [1,2,3,4,5,9,8,7,6]=>[9,8,7,6,5,1,2,3,4]=>[1,1,1,1,1,4]=>111111000=>1 [2,1,4,3,6,5,9,8,7]=>[8,9,6,7,4,5,1,2,3]=>[2,2,2,3]=>101010100=>7 [1,2,3,4,6,5,9,8,7]=>[9,8,7,6,4,5,1,2,3]=>[1,1,1,1,2,3]=>111110100=>3 [1,2,3,5,4,7,6,9,8]=>[9,8,7,5,6,3,4,1,2]=>[1,1,1,2,2,2]=>111101010=>5 [1,2,3,4,5,7,6,9,8]=>[9,8,7,6,5,3,4,1,2]=>[1,1,1,1,1,2,2]=>111111010=>3 [5,2,7,4,1,6,3,8]=>[4,7,2,5,8,3,6,1]=>[2,3,2,1]=>10100101=>6 [4,7,3,1,5,6,2,8]=>[5,2,6,8,4,3,7,1]=>[1,3,1,2,1]=>11001101=>4 [5,8,3,4,1,6,7,2]=>[4,1,6,5,8,3,2,7]=>[1,2,2,1,2]=>11010110=>5 [1,7,8,4,5,6,2,3]=>[8,2,1,5,4,3,7,6]=>[1,1,2,1,2,1]=>11101101=>4 [1,5,8,4,2,6,7,3]=>[8,4,1,5,7,3,2,6]=>[1,1,3,1,2]=>11100110=>3 [1,6,3,8,5,2,7,4]=>[8,3,6,1,4,7,2,5]=>[1,2,3,2]=>11010010=>5 [5,2,3,7,1,6,4,8]=>[4,7,6,2,8,3,5,1]=>[2,1,2,2,1]=>10110101=>6 [6,2,3,7,5,1,4,8]=>[3,7,6,2,4,8,5,1]=>[2,1,3,1,1]=>10110011=>4 [1,7,3,4,8,6,2,5]=>[8,2,6,5,1,3,7,4]=>[1,2,1,3,1]=>11011001=>4 [6,2,3,4,8,1,7,5]=>[3,7,6,5,1,8,2,4]=>[2,1,1,2,2]=>10111010=>5 [8,7,3,2,1,6,5,4]=>[1,2,6,7,8,3,4,5]=>[5,3]=>10000100=>3 [8,7,6,3,1,5,2,4]=>[1,2,3,6,8,4,7,5]=>[5,2,1]=>10000101=>4 [8,5,1,7,2,3,4,6]=>[1,4,8,2,7,6,5,3]=>[3,2,1,1,1]=>10010111=>4 [9,8,7,6,5,2,1,4,3]=>[1,2,3,4,5,8,9,6,7]=>[7,2]=>100000010=>3 [9,8,7,6,3,1,5,2,4]=>[1,2,3,4,7,9,5,8,6]=>[6,2,1]=>100000101=>4 [9,4,3,2,1,8,7,6,5]=>[1,6,7,8,9,2,3,4,5]=>[5,4]=>100001000=>3 [5,4,3,1,9,8,7,2,6]=>[5,6,7,9,1,2,3,8,4]=>[4,4,1]=>100010001=>4 [5,1,7,2,9,3,4,6,8]=>[5,9,3,8,1,7,6,4,2]=>[2,2,2,1,1,1]=>101010111=>6 [7,1,9,2,3,4,5,6,8]=>[3,9,1,8,7,6,5,4,2]=>[2,2,1,1,1,1,1]=>101011111=>4 [2,4,8,5,3,7,1,6]=>[7,5,1,4,6,2,8,3]=>[1,1,3,2,1]=>11100101=>4 [2,4,1,8,5,3,7,6]=>[7,5,8,1,4,6,2,3]=>[1,2,3,2]=>11010010=>5 [2,4,8,6,3,1,7,5]=>[7,5,1,3,6,8,2,4]=>[1,1,4,2]=>11100010=>3 [3,4,6,8,2,1,7,5]=>[6,5,3,1,7,8,2,4]=>[1,1,1,3,2]=>11110010=>3 [3,4,1,5,8,2,7,6]=>[6,5,8,4,1,7,2,3]=>[1,2,1,2,2]=>11011010=>5 [8,1,4,5,3,2,7,6]=>[1,8,5,4,6,7,2,3]=>[2,1,3,2]=>10110010=>5 [3,4,1,5,2,8,7,6]=>[6,5,8,4,7,1,2,3]=>[1,2,2,3]=>11010100=>5 [3,4,6,2,1,8,7,5]=>[6,5,3,7,8,1,2,4]=>[1,1,3,3]=>11100100=>3 [3,5,6,2,1,7,8,4]=>[6,4,3,7,8,2,1,5]=>[1,1,3,1,2]=>11100110=>3 [3,4,6,2,7,8,1,5]=>[6,5,3,7,2,1,8,4]=>[1,1,2,1,2,1]=>11101101=>4 [8,1,4,6,3,7,2,5]=>[1,8,5,3,6,2,7,4]=>[2,1,2,2,1]=>10110101=>6 [8,1,4,6,3,7,5,2]=>[1,8,5,3,6,2,4,7]=>[2,1,2,3]=>10110100=>5 [3,5,6,2,1,7,4,8]=>[6,4,3,7,8,2,5,1]=>[1,1,3,2,1]=>11100101=>4 [8,1,5,6,7,3,4,2]=>[1,8,4,3,2,6,5,7]=>[2,1,1,2,2]=>10111010=>5 [8,1,5,6,7,3,2,4]=>[1,8,4,3,2,6,7,5]=>[2,1,1,3,1]=>10111001=>4 [3,4,1,6,8,7,2,5]=>[6,5,8,3,1,2,7,4]=>[1,2,1,3,1]=>11011001=>4 [3,5,6,1,8,7,2,4]=>[6,4,3,8,1,2,7,5]=>[1,1,2,3,1]=>11101001=>4 [2,1,3,8,6,7,4,5]=>[7,8,6,1,3,2,5,4]=>[2,1,2,2,1]=>10110101=>6 [8,1,3,2,6,7,5,4]=>[1,8,6,7,3,2,4,5]=>[2,2,1,3]=>10101100=>5 [2,3,8,6,7,1,5,4]=>[7,6,1,3,2,8,4,5]=>[1,1,2,2,2]=>11101010=>5 [2,4,1,8,6,7,5,3]=>[7,5,8,1,3,2,4,6]=>[1,2,2,3]=>11010100=>5 [2,5,8,6,1,7,4,3]=>[7,4,1,3,8,2,5,6]=>[1,1,3,3]=>11100100=>3 [3,5,6,1,8,7,4,2]=>[6,4,3,8,1,2,5,7]=>[1,1,2,4]=>11101000=>3 [3,4,1,6,8,7,5,2]=>[6,5,8,3,1,2,4,7]=>[1,2,1,4]=>11011000=>3 [3,4,6,8,7,1,5,2]=>[6,5,3,1,2,8,4,7]=>[1,1,1,3,2]=>11110010=>3 [8,1,4,6,2,7,5,3]=>[1,8,5,3,7,2,4,6]=>[2,1,2,3]=>10110100=>5 [3,5,1,6,7,8,4,2]=>[6,4,8,3,2,1,5,7]=>[1,2,1,1,3]=>11011100=>3 [4,5,6,1,7,8,3,2]=>[5,4,3,8,2,1,6,7]=>[1,1,2,1,3]=>11101100=>3 [4,5,6,1,7,3,8,2]=>[5,4,3,8,2,6,1,7]=>[1,1,2,2,2]=>11101010=>5 [3,5,1,6,7,4,8,2]=>[6,4,8,3,2,5,1,7]=>[1,2,1,2,2]=>11011010=>5 [8,1,5,6,7,4,2,3]=>[1,8,4,3,2,5,7,6]=>[2,1,1,3,1]=>10111001=>4 [8,1,5,6,7,4,3,2]=>[1,8,4,3,2,5,6,7]=>[2,1,1,4]=>10111000=>3 [3,5,1,6,7,4,2,8]=>[6,4,8,3,2,5,7,1]=>[1,2,1,3,1]=>11011001=>4 [4,5,6,1,7,3,2,8]=>[5,4,3,8,2,6,7,1]=>[1,1,2,3,1]=>11101001=>4 [6,5,8,7,4,3,1,2]=>[3,4,1,2,5,6,8,7]=>[2,5,1]=>10100001=>4 [6,4,2,7,8,5,1,3]=>[3,5,7,2,1,4,8,6]=>[3,1,3,1]=>10011001=>4 [6,1,4,8,7,5,2,3]=>[3,8,5,1,2,4,7,6]=>[2,1,4,1]=>10110001=>4 [1,6,4,8,7,5,2,3]=>[8,3,5,1,2,4,7,6]=>[1,2,4,1]=>11010001=>4 [1,8,6,2,4,7,3,5]=>[8,1,3,7,5,2,6,4]=>[1,3,1,2,1]=>11001101=>4 [8,1,6,2,4,7,3,5]=>[1,8,3,7,5,2,6,4]=>[2,2,1,2,1]=>10101101=>6 [7,6,2,1,4,8,3,5]=>[2,3,7,8,5,1,6,4]=>[4,1,2,1]=>10001101=>4 [6,4,1,7,8,5,2,3]=>[3,5,8,2,1,4,7,6]=>[3,1,3,1]=>10011001=>4 [7,6,1,2,4,8,3,5]=>[2,3,8,7,5,1,6,4]=>[3,1,1,2,1]=>10011101=>4 [7,6,1,3,4,8,2,5]=>[2,3,8,6,5,1,7,4]=>[3,1,1,2,1]=>10011101=>4 [8,1,6,3,4,7,2,5]=>[1,8,3,6,5,2,7,4]=>[2,2,1,2,1]=>10101101=>6 [1,8,6,3,4,7,2,5]=>[8,1,3,6,5,2,7,4]=>[1,3,1,2,1]=>11001101=>4 [1,7,2,5,4,8,3,6]=>[8,2,7,4,5,1,6,3]=>[1,2,2,2,1]=>11010101=>6 [7,1,2,5,4,8,3,6]=>[2,8,7,4,5,1,6,3]=>[2,1,2,2,1]=>10110101=>6 [2,7,1,5,4,8,3,6]=>[7,2,8,4,5,1,6,3]=>[1,2,2,2,1]=>11010101=>6 [2,8,6,3,4,7,1,5]=>[7,1,3,6,5,2,8,4]=>[1,3,1,2,1]=>11001101=>4 [2,8,6,1,4,7,3,5]=>[7,1,3,8,5,2,6,4]=>[1,3,1,2,1]=>11001101=>4 [7,2,1,5,4,8,3,6]=>[2,7,8,4,5,1,6,3]=>[3,2,2,1]=>10010101=>6 [1,2,7,5,4,8,3,6]=>[8,7,2,4,5,1,6,3]=>[1,1,3,2,1]=>11100101=>4 [3,2,7,5,4,8,1,6]=>[6,7,2,4,5,1,8,3]=>[2,3,2,1]=>10100101=>6 [2,5,8,4,7,3,1,6]=>[7,4,1,5,2,6,8,3]=>[1,1,2,3,1]=>11101001=>4 [2,3,7,5,4,8,1,6]=>[7,6,2,4,5,1,8,3]=>[1,1,3,2,1]=>11100101=>4 [6,8,3,2,4,7,1,5]=>[3,1,6,7,5,2,8,4]=>[1,3,1,2,1]=>11001101=>4 [3,7,2,5,4,8,1,6]=>[6,2,7,4,5,1,8,3]=>[1,2,2,2,1]=>11010101=>6 [3,1,7,5,4,8,2,6]=>[6,8,2,4,5,1,7,3]=>[2,3,2,1]=>10100101=>6 [1,3,7,5,4,8,2,6]=>[8,6,2,4,5,1,7,3]=>[1,1,3,2,1]=>11100101=>4 [1,5,8,4,7,3,2,6]=>[8,4,1,5,2,6,7,3]=>[1,1,2,3,1]=>11101001=>4 [5,1,8,4,7,3,2,6]=>[4,8,1,5,2,6,7,3]=>[2,2,3,1]=>10101001=>6 [5,8,2,4,7,3,1,6]=>[4,1,7,5,2,6,8,3]=>[1,2,1,3,1]=>11011001=>4 [6,8,4,3,7,5,1,2]=>[3,1,5,6,2,4,8,7]=>[1,3,3,1]=>11001001=>4 [8,7,5,6,2,1,4,3]=>[1,2,4,3,7,8,5,6]=>[3,3,2]=>10010010=>5 [8,5,2,4,7,3,1,6]=>[1,4,7,5,2,6,8,3]=>[3,1,3,1]=>10011001=>4 [8,1,5,4,7,3,2,6]=>[1,8,4,5,2,6,7,3]=>[2,2,3,1]=>10101001=>6 [1,8,5,4,7,3,2,6]=>[8,1,4,5,2,6,7,3]=>[1,3,3,1]=>11001001=>4 [1,7,3,5,4,8,2,6]=>[8,2,6,4,5,1,7,3]=>[1,2,2,2,1]=>11010101=>6 [8,6,3,1,4,7,2,5]=>[1,3,6,8,5,2,7,4]=>[4,1,2,1]=>10001101=>4 [8,6,4,2,7,5,1,3]=>[1,3,5,7,2,4,8,6]=>[4,3,1]=>10001001=>4 [8,6,4,1,7,2,5,3]=>[1,3,5,8,2,7,4,6]=>[4,2,2]=>10001010=>5 [5,3,7,4,6,8,2,1]=>[4,6,2,5,3,1,7,8]=>[2,2,1,3]=>10101100=>5 [4,1,3,2,7,8,5,6]=>[5,8,6,7,2,1,4,3]=>[2,2,1,2,1]=>10101101=>6 [1,4,3,2,7,8,5,6]=>[8,5,6,7,2,1,4,3]=>[1,3,1,2,1]=>11001101=>4 [2,4,3,1,7,8,5,6]=>[7,5,6,8,2,1,4,3]=>[1,3,1,2,1]=>11001101=>4 [2,7,3,5,4,8,1,6]=>[7,2,6,4,5,1,8,3]=>[1,2,2,2,1]=>11010101=>6 [2,8,5,4,7,3,1,6]=>[7,1,4,5,2,6,8,3]=>[1,3,3,1]=>11001001=>4 [5,7,3,4,6,8,2,1]=>[4,2,6,5,3,1,7,8]=>[1,2,1,1,3]=>11011100=>3 [8,2,5,4,7,3,1,6]=>[1,7,4,5,2,6,8,3]=>[2,2,3,1]=>10101001=>6 [7,2,3,5,4,8,1,6]=>[2,7,6,4,5,1,8,3]=>[2,1,2,2,1]=>10110101=>6 [3,2,1,4,7,8,5,6]=>[6,7,8,5,2,1,4,3]=>[3,1,1,2,1]=>10011101=>4 [8,1,7,6,4,3,5,2]=>[1,8,2,3,5,6,4,7]=>[2,4,2]=>10100010=>5 [8,6,4,5,2,7,1,3]=>[1,3,5,4,7,2,8,6]=>[3,2,2,1]=>10010101=>6 [7,1,8,6,4,3,5,2]=>[2,8,1,3,5,6,4,7]=>[2,4,2]=>10100010=>5 [7,4,2,5,1,6,3,8]=>[2,5,7,4,8,3,6,1]=>[3,2,2,1]=>10010101=>6 [7,3,6,5,2,1,4,8]=>[2,6,3,4,7,8,5,1]=>[2,4,1,1]=>10100011=>4 [8,3,6,5,2,1,7,4]=>[1,6,3,4,7,8,2,5]=>[2,4,2]=>10100010=>5 [7,3,6,5,2,1,8,4]=>[2,6,3,4,7,8,1,5]=>[2,4,2]=>10100010=>5 [7,5,8,6,4,2,1,3]=>[2,4,1,3,5,7,8,6]=>[2,5,1]=>10100001=>4 [5,4,2,8,1,3,7,6]=>[4,5,7,1,8,6,2,3]=>[3,2,1,2]=>10010110=>5 [5,8,2,6,4,1,3,7]=>[4,1,7,3,5,8,6,2]=>[1,2,3,1,1]=>11010011=>4 [6,4,2,5,1,8,3,7]=>[3,5,7,4,8,1,6,2]=>[3,2,2,1]=>10010101=>6 [6,3,5,2,1,4,7,8]=>[3,6,4,7,8,5,2,1]=>[2,3,1,1,1]=>10100111=>4 [2,5,8,6,3,1,4,7]=>[7,4,1,3,6,8,5,2]=>[1,1,4,1,1]=>11100011=>2 [2,3,5,8,1,4,7,6]=>[7,6,4,1,8,5,2,3]=>[1,1,1,2,1,2]=>11110110=>3 [2,3,6,8,1,5,7,4]=>[7,6,3,1,8,4,2,5]=>[1,1,1,2,1,2]=>11110110=>3 [6,3,8,5,2,7,1,4]=>[3,6,1,4,7,2,8,5]=>[2,3,2,1]=>10100101=>6 [6,3,7,5,2,1,4,8]=>[3,6,2,4,7,8,5,1]=>[2,4,1,1]=>10100011=>4 [2,5,7,6,3,1,4,8]=>[7,4,2,3,6,8,5,1]=>[1,1,4,1,1]=>11100011=>2 [2,8,7,6,3,1,5,4]=>[7,1,2,3,6,8,4,5]=>[1,5,2]=>11000010=>3 [2,5,8,7,6,3,1,4]=>[7,4,1,2,3,6,8,5]=>[1,1,5,1]=>11100001=>2 [2,4,8,1,6,5,7,3]=>[7,5,1,8,3,4,2,6]=>[1,1,2,2,2]=>11101010=>5 [2,8,7,3,6,1,4,5]=>[7,1,2,6,3,8,5,4]=>[1,3,2,1,1]=>11001011=>4 [7,3,5,2,1,4,6,8]=>[2,6,4,7,8,5,3,1]=>[2,3,1,1,1]=>10100111=>4 [8,4,2,5,1,3,7,6]=>[1,5,7,4,8,6,2,3]=>[3,2,1,2]=>10010110=>5 [2,3,6,8,1,4,7,5]=>[7,6,3,1,8,5,2,4]=>[1,1,1,2,1,2]=>11110110=>3 [2,7,8,6,3,1,4,5]=>[7,2,1,3,6,8,5,4]=>[1,1,4,1,1]=>11100011=>2 [7,3,8,5,2,1,4,6]=>[2,6,1,4,7,8,5,3]=>[2,4,1,1]=>10100011=>4 [2,3,6,1,8,4,7,5]=>[7,6,3,8,1,5,2,4]=>[1,1,2,2,2]=>11101010=>5 [2,8,6,3,1,4,5,7]=>[7,1,3,6,8,5,4,2]=>[1,4,1,1,1]=>11000111=>2 [8,3,5,2,1,4,6,7]=>[1,6,4,7,8,5,3,2]=>[2,3,1,1,1]=>10100111=>4 [2,4,8,1,3,7,5,6]=>[7,5,1,8,6,2,4,3]=>[1,1,2,1,2,1]=>11101101=>4 [2,5,8,1,7,3,6,4]=>[7,4,1,8,2,6,3,5]=>[1,1,2,2,2]=>11101010=>5 [2,8,1,5,7,3,6,4]=>[7,1,8,4,2,6,3,5]=>[1,2,1,2,2]=>11011010=>5 [3,8,6,1,4,7,5,2]=>[6,1,3,8,5,2,4,7]=>[1,3,1,3]=>11001100=>3 [2,6,8,1,5,7,3,4]=>[7,3,1,8,4,2,6,5]=>[1,1,2,1,2,1]=>11101101=>4 [2,7,1,5,8,3,4,6]=>[7,2,8,4,1,6,5,3]=>[1,2,1,2,1,1]=>11011011=>4 [2,7,1,6,3,8,4,5]=>[7,2,8,3,6,1,5,4]=>[1,2,2,2,1]=>11010101=>6 [4,7,6,1,8,5,2,3]=>[5,2,3,8,1,4,7,6]=>[1,3,3,1]=>11001001=>4 [3,7,5,8,1,2,6,4]=>[6,2,4,1,8,7,3,5]=>[1,2,2,1,2]=>11010110=>5 [7,3,6,1,2,8,4,5]=>[2,6,3,8,7,1,5,4]=>[2,2,1,2,1]=>10101101=>6 [7,4,8,1,6,5,2,3]=>[2,5,1,8,3,4,7,6]=>[2,2,3,1]=>10101001=>6 [7,4,6,1,8,2,5,3]=>[2,5,3,8,1,7,4,6]=>[2,2,2,2]=>10101010=>7 [7,4,5,8,6,1,2,3]=>[2,5,4,1,3,8,7,6]=>[2,1,3,1,1]=>10110011=>4 [6,8,4,5,1,7,2,3]=>[3,1,5,4,8,2,7,6]=>[1,2,2,2,1]=>11010101=>6 [4,6,8,5,1,7,2,3]=>[5,3,1,4,8,2,7,6]=>[1,1,3,2,1]=>11100101=>4 [5,1,7,6,2,3,8,4]=>[4,8,2,3,7,6,1,5]=>[2,3,1,2]=>10100110=>5 [5,1,7,6,2,8,3,4]=>[4,8,2,3,7,1,6,5]=>[2,3,2,1]=>10100101=>6 [5,1,8,7,6,2,3,4]=>[4,8,1,2,3,7,6,5]=>[2,4,1,1]=>10100011=>4 [8,5,1,7,6,2,3,4]=>[1,4,8,2,3,7,6,5]=>[3,3,1,1]=>10010011=>4 [8,5,1,6,2,7,3,4]=>[1,4,8,3,7,2,6,5]=>[3,2,2,1]=>10010101=>6 [3,6,1,8,4,7,5,2]=>[6,3,8,1,5,2,4,7]=>[1,2,2,3]=>11010100=>5 [4,6,1,8,7,5,2,3]=>[5,3,8,1,2,4,7,6]=>[1,2,4,1]=>11010001=>4 [8,4,6,1,7,5,2,3]=>[1,5,3,8,2,4,7,6]=>[2,2,3,1]=>10101001=>6 [4,8,5,1,7,2,3,6]=>[5,1,4,8,2,7,6,3]=>[1,3,2,1,1]=>11001011=>4 [4,5,1,8,7,2,3,6]=>[5,4,8,1,2,7,6,3]=>[1,2,3,1,1]=>11010011=>4 [3,4,8,7,1,2,5,6]=>[6,5,1,2,8,7,4,3]=>[1,1,3,1,1,1]=>11100111=>2 [5,8,4,1,7,2,3,6]=>[4,1,5,8,2,7,6,3]=>[1,3,2,1,1]=>11001011=>4 [8,6,4,7,1,2,5,3]=>[1,3,5,2,8,7,4,6]=>[3,2,1,2]=>10010110=>5 [6,4,8,7,1,2,5,3]=>[3,5,1,2,8,7,4,6]=>[2,3,1,2]=>10100110=>5 [5,6,8,3,7,1,4,2]=>[4,3,1,6,2,8,5,7]=>[1,1,2,2,2]=>11101010=>5 [6,4,7,1,2,8,5,3]=>[3,5,2,8,7,1,4,6]=>[2,2,1,3]=>10101100=>5 [6,5,1,2,7,3,8,4]=>[3,4,8,7,2,6,1,5]=>[3,1,2,2]=>10011010=>5 [6,5,1,8,2,7,3,4]=>[3,4,8,1,7,2,6,5]=>[3,2,2,1]=>10010101=>6 [8,6,5,1,2,7,3,4]=>[1,3,4,8,7,2,6,5]=>[4,1,2,1]=>10001101=>4 [8,6,5,1,7,2,3,4]=>[1,3,4,8,2,7,6,5]=>[4,2,1,1]=>10001011=>4 [6,5,1,8,7,2,3,4]=>[3,4,8,1,2,7,6,5]=>[3,3,1,1]=>10010011=>4 [6,5,1,7,2,8,3,4]=>[3,4,8,2,7,1,6,5]=>[3,2,2,1]=>10010101=>6 [6,5,1,7,2,3,8,4]=>[3,4,8,2,7,6,1,5]=>[3,2,1,2]=>10010110=>5 [5,7,4,1,8,2,3,6]=>[4,2,5,8,1,7,6,3]=>[1,3,2,1,1]=>11001011=>4 [5,6,8,7,4,1,2,3]=>[4,3,1,2,5,8,7,6]=>[1,1,4,1,1]=>11100011=>2 [6,8,5,7,4,1,2,3]=>[3,1,4,2,5,8,7,6]=>[1,2,3,1,1]=>11010011=>4 [7,3,8,1,5,2,4,6]=>[2,6,1,8,4,7,5,3]=>[2,2,2,1,1]=>10101011=>6 [4,1,7,5,3,6,2,8]=>[5,8,2,4,6,3,7,1]=>[2,3,2,1]=>10100101=>6 [1,8,4,2,3,6,7,5]=>[8,1,5,7,6,3,2,4]=>[1,3,1,1,2]=>11001110=>3 [2,5,8,3,4,6,7,1]=>[7,4,1,6,5,3,2,8]=>[1,1,2,1,1,2]=>11101110=>3 [4,1,7,2,3,6,8,5]=>[5,8,2,7,6,3,1,4]=>[2,2,1,1,2]=>10101110=>5 [4,6,2,1,5,7,8,3]=>[5,3,7,8,4,2,1,6]=>[1,3,1,1,2]=>11001110=>3 [4,5,2,3,1,7,8,6]=>[5,4,7,6,8,2,1,3]=>[1,2,2,1,2]=>11010110=>5 [3,2,6,7,4,1,8,5]=>[6,7,3,2,5,8,1,4]=>[2,1,3,2]=>10110010=>5 [5,6,2,7,1,4,8,3]=>[4,3,7,2,8,5,1,6]=>[1,2,2,1,2]=>11010110=>5 [6,2,3,8,1,7,4,5]=>[3,7,6,1,8,2,5,4]=>[2,1,2,2,1]=>10110101=>6 [2,6,8,3,4,7,1,5]=>[7,3,1,6,5,2,8,4]=>[1,1,2,1,2,1]=>11101101=>4 [4,6,2,7,5,1,3,8]=>[5,3,7,2,4,8,6,1]=>[1,2,3,1,1]=>11010011=>4 [2,6,3,1,8,4,5,7]=>[7,3,6,8,1,5,4,2]=>[1,3,2,1,1]=>11001011=>4 [2,4,3,7,8,1,5,6]=>[7,5,6,2,1,8,4,3]=>[1,2,1,2,1,1]=>11011011=>4 [5,3,2,7,4,8,1,6]=>[4,6,7,2,5,1,8,3]=>[3,2,2,1]=>10010101=>6 [5,1,2,7,6,8,4,3]=>[4,8,7,2,3,1,5,6]=>[2,1,2,3]=>10110100=>5 [2,6,3,1,8,7,4,5]=>[7,3,6,8,1,2,5,4]=>[1,3,3,1]=>11001001=>4 [3,5,6,4,7,8,1,2]=>[6,4,3,5,2,1,8,7]=>[1,1,2,1,2,1]=>11101101=>4 [5,3,6,4,2,8,7,1]=>[4,6,3,5,7,1,2,8]=>[2,3,3]=>10100100=>5 [5,4,2,3,7,8,6,1]=>[4,5,7,6,2,1,3,8]=>[3,1,1,3]=>10011100=>3 [4,1,8,2,5,7,3,6]=>[5,8,1,7,4,2,6,3]=>[2,2,1,2,1]=>10101101=>6 [3,1,8,4,7,2,5,6]=>[6,8,1,5,2,7,4,3]=>[2,2,2,1,1]=>10101011=>6 [6,2,3,8,4,1,7,5]=>[3,7,6,1,5,8,2,4]=>[2,1,3,2]=>10110010=>5 [2,6,4,1,5,3,8,7]=>[7,3,5,8,4,6,1,2]=>[1,3,2,2]=>11001010=>5 [6,2,1,4,7,8,3,5]=>[3,7,8,5,2,1,6,4]=>[3,1,1,2,1]=>10011101=>4 [2,6,5,1,7,8,3,4]=>[7,3,4,8,2,1,6,5]=>[1,3,1,2,1]=>11001101=>4 [4,7,5,2,1,6,3,8]=>[5,2,4,7,8,3,6,1]=>[1,4,2,1]=>11000101=>4 [4,2,3,7,8,1,6,5]=>[5,7,6,2,1,8,3,4]=>[2,1,1,2,2]=>10111010=>5 [5,8,3,1,7,2,4,6]=>[4,1,6,8,2,7,5,3]=>[1,3,2,1,1]=>11001011=>4 [6,8,3,1,5,2,4,7]=>[3,1,6,8,4,7,5,2]=>[1,3,2,1,1]=>11001011=>4 [4,2,7,1,6,3,5,8]=>[5,7,2,8,3,6,4,1]=>[2,2,2,1,1]=>10101011=>6 [5,1,7,4,2,6,3,8]=>[4,8,2,5,7,3,6,1]=>[2,3,2,1]=>10100101=>6 [6,8,4,2,1,5,3,7]=>[3,1,5,7,8,4,6,2]=>[1,4,2,1]=>11000101=>4 [6,8,5,2,1,7,3,4]=>[3,1,4,7,8,2,6,5]=>[1,4,2,1]=>11000101=>4 [5,8,2,1,4,7,3,6]=>[4,1,7,8,5,2,6,3]=>[1,3,1,2,1]=>11001101=>4 [6,8,4,3,1,5,7,2]=>[3,1,5,6,8,4,2,7]=>[1,4,1,2]=>11000110=>3 [6,8,4,2,1,5,7,3]=>[3,1,5,7,8,4,2,6]=>[1,4,1,2]=>11000110=>3 [6,8,3,2,1,4,5,7]=>[3,1,6,7,8,5,4,2]=>[1,4,1,1,1]=>11000111=>2 [5,1,7,3,2,4,6,8]=>[4,8,2,6,7,5,3,1]=>[2,3,1,1,1]=>10100111=>4 [5,2,1,8,3,6,7,4]=>[4,7,8,1,6,3,2,5]=>[3,2,1,2]=>10010110=>5 [4,3,8,1,6,2,7,5]=>[5,6,1,8,3,7,2,4]=>[2,2,2,2]=>10101010=>7 [5,4,7,2,1,6,8,3]=>[4,5,2,7,8,3,1,6]=>[2,3,1,2]=>10100110=>5 [5,2,1,7,3,4,8,6]=>[4,7,8,2,6,5,1,3]=>[3,2,1,2]=>10010110=>5 [6,4,3,1,7,5,8,2]=>[3,5,6,8,2,4,1,7]=>[4,2,2]=>10001010=>5 [5,3,1,7,2,6,8,4]=>[4,6,8,2,7,3,1,5]=>[3,2,1,2]=>10010110=>5 [3,2,1,7,6,4,8,5]=>[6,7,8,2,3,5,1,4]=>[3,3,2]=>10010010=>5 [4,2,1,6,5,8,3,7]=>[5,7,8,3,4,1,6,2]=>[3,2,2,1]=>10010101=>6 [4,2,1,8,5,7,3,6]=>[5,7,8,1,4,2,6,3]=>[3,2,2,1]=>10010101=>6 [6,4,2,1,7,5,3,8]=>[3,5,7,8,2,4,6,1]=>[4,3,1]=>10001001=>4 [7,5,2,1,8,6,3,4]=>[2,4,7,8,1,3,6,5]=>[4,3,1]=>10001001=>4 [6,1,8,4,2,7,3,5]=>[3,8,1,5,7,2,6,4]=>[2,3,2,1]=>10100101=>6 [6,2,1,8,3,7,4,5]=>[3,7,8,1,6,2,5,4]=>[3,2,2,1]=>10010101=>6 [5,3,2,7,6,1,4,8]=>[4,6,7,2,3,8,5,1]=>[3,3,1,1]=>10010011=>4 [5,3,2,8,6,1,4,7]=>[4,6,7,1,3,8,5,2]=>[3,3,1,1]=>10010011=>4 [6,3,2,8,7,1,4,5]=>[3,6,7,1,2,8,5,4]=>[3,3,1,1]=>10010011=>4 [4,2,8,1,7,3,5,6]=>[5,7,1,8,2,6,4,3]=>[2,2,2,1,1]=>10101011=>6 [4,3,8,7,2,1,5,6]=>[5,6,1,2,7,8,4,3]=>[2,4,1,1]=>10100011=>4 [2,1,5,8,4,7,3,6]=>[7,8,4,1,5,2,6,3]=>[2,1,2,2,1]=>10110101=>6 [4,3,2,5,8,1,6,7]=>[5,6,7,4,1,8,3,2]=>[3,1,2,1,1]=>10011011=>4 [4,3,2,5,7,1,6,8]=>[5,6,7,4,2,8,3,1]=>[3,1,2,1,1]=>10011011=>4 [4,3,1,6,2,7,5,8]=>[5,6,8,3,7,2,4,1]=>[3,2,2,1]=>10010101=>6 [6,5,3,1,7,8,4,2]=>[3,4,6,8,2,1,5,7]=>[4,1,3]=>10001100=>3 [6,4,2,1,7,8,3,5]=>[3,5,7,8,2,1,6,4]=>[4,1,2,1]=>10001101=>4 [5,3,2,1,6,7,4,8]=>[4,6,7,8,3,2,5,1]=>[4,1,2,1]=>10001101=>4 [6,4,2,1,7,8,5,3]=>[3,5,7,8,2,1,4,6]=>[4,1,3]=>10001100=>3 [5,3,2,6,8,1,7,4]=>[4,6,7,3,1,8,2,5]=>[3,1,2,2]=>10011010=>5 [3,2,1,4,8,7,5,6]=>[6,7,8,5,1,2,4,3]=>[3,1,3,1]=>10011001=>4 [3,2,1,4,6,8,5,7]=>[6,7,8,5,3,1,4,2]=>[3,1,1,2,1]=>10011101=>4 [4,3,2,6,1,7,8,5]=>[5,6,7,3,8,2,1,4]=>[3,2,1,2]=>10010110=>5 [5,3,2,1,6,7,8,4]=>[4,6,7,8,3,2,1,5]=>[4,1,1,2]=>10001110=>3 [8,6,1,4,5,7,2,3]=>[1,3,8,5,4,2,7,6]=>[3,1,1,2,1]=>10011101=>4 [3,8,6,4,5,7,1,2]=>[6,1,3,5,4,2,8,7]=>[1,3,1,2,1]=>11001101=>4 [5,2,8,3,7,4,6,1]=>[4,7,1,6,2,5,3,8]=>[2,2,2,2]=>10101010=>7 [6,2,8,5,4,7,3,1]=>[3,7,1,4,5,2,6,8]=>[2,3,3]=>10100100=>5 [1,8,6,3,7,4,2,5]=>[8,1,3,6,2,5,7,4]=>[1,3,3,1]=>11001001=>4 [1,8,6,5,7,2,3,4]=>[8,1,3,4,2,7,6,5]=>[1,3,2,1,1]=>11001011=>4 [5,2,8,4,3,6,7,1]=>[4,7,1,5,6,3,2,8]=>[2,3,1,2]=>10100110=>5 [5,4,2,7,3,6,1,8]=>[4,5,7,2,6,3,8,1]=>[3,2,2,1]=>10010101=>6 [5,4,2,8,3,6,1,7]=>[4,5,7,1,6,3,8,2]=>[3,2,2,1]=>10010101=>6 [6,5,3,8,4,7,2,1]=>[3,4,6,1,5,2,7,8]=>[3,2,3]=>10010100=>5 [5,2,8,4,3,7,1,6]=>[4,7,1,5,6,2,8,3]=>[2,3,2,1]=>10100101=>6 [6,2,8,3,7,4,1,5]=>[3,7,1,6,2,5,8,4]=>[2,2,3,1]=>10101001=>6 [5,4,2,7,3,1,8,6]=>[4,5,7,2,6,8,1,3]=>[3,3,2]=>10010010=>5 [6,4,3,7,1,2,8,5]=>[3,5,6,2,8,7,1,4]=>[3,2,1,2]=>10010110=>5 [6,4,3,8,1,2,7,5]=>[3,5,6,1,8,7,2,4]=>[3,2,1,2]=>10010110=>5 [7,6,3,8,4,2,1,5]=>[2,3,6,1,5,7,8,4]=>[3,4,1]=>10010001=>4 [7,2,8,4,3,1,5,6]=>[2,7,1,5,6,8,4,3]=>[2,4,1,1]=>10100011=>4 [7,5,3,8,4,2,6,1]=>[2,4,6,1,5,7,3,8]=>[3,3,2]=>10010010=>5 [6,4,2,7,3,1,5,8]=>[3,5,7,2,6,8,4,1]=>[3,3,1,1]=>10010011=>4 [7,6,4,8,2,3,5,1]=>[2,3,5,1,7,6,4,8]=>[3,2,1,2]=>10010110=>5 [7,6,8,1,2,5,3,4]=>[2,3,1,8,7,4,6,5]=>[2,2,1,2,1]=>10101101=>6 [5,3,2,7,8,4,6,1]=>[4,6,7,2,1,5,3,8]=>[3,1,2,2]=>10011010=>5 [5,4,1,6,3,8,7,2]=>[4,5,8,3,6,1,2,7]=>[3,2,3]=>10010100=>5 [6,5,1,7,8,2,3,4]=>[3,4,8,2,1,7,6,5]=>[3,1,2,1,1]=>10011011=>4 [6,3,1,7,8,4,2,5]=>[3,6,8,2,1,5,7,4]=>[3,1,3,1]=>10011001=>4 [6,3,2,7,8,4,1,5]=>[3,6,7,2,1,5,8,4]=>[3,1,3,1]=>10011001=>4 [6,1,5,4,3,2,8,7]=>[3,8,4,5,6,7,1,2]=>[2,4,2]=>10100010=>5 [8,7,6,1,3,5,2,4]=>[1,2,3,8,6,4,7,5]=>[4,1,2,1]=>10001101=>4 [8,1,6,5,7,3,4,2]=>[1,8,3,4,2,6,5,7]=>[2,2,2,2]=>10101010=>7 [8,4,1,5,7,6,2,3]=>[1,5,8,4,2,3,7,6]=>[3,1,3,1]=>10011001=>4 [7,8,6,2,5,3,1,4]=>[2,1,3,7,4,6,8,5]=>[1,3,3,1]=>11001001=>4 [6,1,3,5,2,8,4,7]=>[3,8,6,4,7,1,5,2]=>[2,1,2,2,1]=>10110101=>6 [8,1,3,7,4,2,5,6]=>[1,8,6,2,5,7,4,3]=>[2,1,3,1,1]=>10110011=>4 [4,3,8,7,5,2,1,6]=>[5,6,1,2,4,7,8,3]=>[2,5,1]=>10100001=>4 [6,7,1,8,5,3,4,2]=>[3,2,8,1,4,6,5,7]=>[1,2,3,2]=>11010010=>5 [2,7,6,4,8,3,5,1]=>[7,2,3,5,1,6,4,8]=>[1,3,2,2]=>11001010=>5 [6,5,2,7,1,4,8,3]=>[3,4,7,2,8,5,1,6]=>[3,2,1,2]=>10010110=>5 [7,4,6,1,3,2,8,5]=>[2,5,3,8,6,7,1,4]=>[2,2,2,2]=>10101010=>7 [7,5,2,1,3,8,4,6]=>[2,4,7,8,6,1,5,3]=>[4,1,2,1]=>10001101=>4 [8,4,7,6,3,1,5,2]=>[1,5,2,3,6,8,4,7]=>[2,4,2]=>10100010=>5 [7,4,1,5,6,3,8,2]=>[2,5,8,4,3,6,1,7]=>[3,1,2,2]=>10011010=>5 [3,4,7,5,6,1,8,2]=>[6,5,2,4,3,8,1,7]=>[1,1,2,2,2]=>11101010=>5 [2,4,7,5,6,3,8,1]=>[7,5,2,4,3,6,1,8]=>[1,1,2,2,2]=>11101010=>5 [5,4,1,7,6,2,8,3]=>[4,5,8,2,3,7,1,6]=>[3,3,2]=>10010010=>5 [3,5,6,7,1,4,8,2]=>[6,4,3,2,8,5,1,7]=>[1,1,1,2,1,2]=>11110110=>3 [2,7,6,1,3,4,8,5]=>[7,2,3,8,6,5,1,4]=>[1,3,1,1,2]=>11001110=>3 [5,7,2,1,6,3,8,4]=>[4,2,7,8,3,6,1,5]=>[1,3,2,2]=>11001010=>5 [4,7,2,5,6,3,8,1]=>[5,2,7,4,3,6,1,8]=>[1,2,1,2,2]=>11011010=>5 [8,6,2,5,7,1,4,3]=>[1,3,7,4,2,8,5,6]=>[3,1,2,2]=>10011010=>5 [2,7,4,5,3,8,1,6]=>[7,2,5,4,6,1,8,3]=>[1,2,2,2,1]=>11010101=>6 [6,8,7,1,3,2,5,4]=>[3,1,2,8,6,7,4,5]=>[1,3,2,2]=>11001010=>5 [2,8,6,5,7,1,4,3]=>[7,1,3,4,2,8,5,6]=>[1,3,2,2]=>11001010=>5 [5,8,4,3,2,6,7,1]=>[4,1,5,6,7,3,2,8]=>[1,4,1,2]=>11000110=>3 [1,8,5,6,2,4,7,3]=>[8,1,4,3,7,5,2,6]=>[1,2,2,1,2]=>11010110=>5 [8,1,5,6,2,4,7,3]=>[1,8,4,3,7,5,2,6]=>[2,1,2,1,2]=>10110110=>5 [6,4,8,1,3,2,7,5]=>[3,5,1,8,6,7,2,4]=>[2,2,2,2]=>10101010=>7 [1,4,5,2,8,6,7,3]=>[8,5,4,7,1,3,2,6]=>[1,1,2,2,2]=>11101010=>5 [2,3,1,7,8,6,4,5]=>[7,6,8,2,1,3,5,4]=>[1,2,1,3,1]=>11011001=>4 [3,5,7,6,2,8,1,4]=>[6,4,2,3,7,1,8,5]=>[1,1,3,2,1]=>11100101=>4 [4,5,6,1,2,8,7,3]=>[5,4,3,8,7,1,2,6]=>[1,1,2,1,3]=>11101100=>3 [5,4,1,2,8,6,7,3]=>[4,5,8,7,1,3,2,6]=>[3,1,2,2]=>10011010=>5 [8,4,5,2,1,6,7,3]=>[1,5,4,7,8,3,2,6]=>[2,3,1,2]=>10100110=>5 [3,1,2,6,8,4,7,5]=>[6,8,7,3,1,5,2,4]=>[2,1,1,2,2]=>10111010=>5 [5,1,3,2,7,8,4,6]=>[4,8,6,7,2,1,5,3]=>[2,2,1,2,1]=>10101101=>6 [1,5,4,2,7,8,3,6]=>[8,4,5,7,2,1,6,3]=>[1,3,1,2,1]=>11001101=>4 [4,6,7,8,3,1,5,2]=>[5,3,2,1,6,8,4,7]=>[1,1,1,3,2]=>11110010=>3 [7,6,2,8,4,3,1,5]=>[2,3,7,1,5,6,8,4]=>[3,4,1]=>10010001=>4 [5,2,8,6,3,4,7,1]=>[4,7,1,3,6,5,2,8]=>[2,3,1,2]=>10100110=>5 [5,6,8,4,3,2,7,1]=>[4,3,1,5,6,7,2,8]=>[1,1,4,2]=>11100010=>3 [5,3,8,1,7,2,4,6]=>[4,6,1,8,2,7,5,3]=>[2,2,2,1,1]=>10101011=>6 [3,6,7,8,4,2,1,5]=>[6,3,2,1,5,7,8,4]=>[1,1,1,4,1]=>11110001=>2 [6,5,1,8,4,3,7,2]=>[3,4,8,1,5,6,2,7]=>[3,3,2]=>10010010=>5 [6,3,8,4,2,1,7,5]=>[3,6,1,5,7,8,2,4]=>[2,4,2]=>10100010=>5 [2,5,8,3,1,6,7,4]=>[7,4,1,6,8,3,2,5]=>[1,1,3,1,2]=>11100110=>3 [3,5,8,1,2,6,7,4]=>[6,4,1,8,7,3,2,5]=>[1,1,2,1,1,2]=>11101110=>3 [3,2,8,1,5,6,7,4]=>[6,7,1,8,4,3,2,5]=>[2,2,1,1,2]=>10101110=>5 [1,5,8,3,2,6,7,4]=>[8,4,1,6,7,3,2,5]=>[1,1,3,1,2]=>11100110=>3 [1,3,8,6,2,4,7,5]=>[8,6,1,3,7,5,2,4]=>[1,1,3,1,2]=>11100110=>3 [3,2,7,8,4,6,1,5]=>[6,7,2,1,5,3,8,4]=>[2,1,2,2,1]=>10110101=>6 [5,1,8,3,4,6,7,2]=>[4,8,1,6,5,3,2,7]=>[2,2,1,1,2]=>10101110=>5 [4,8,7,2,1,6,3,5]=>[5,1,2,7,8,3,6,4]=>[1,4,2,1]=>11000101=>4 [2,8,1,6,3,4,7,5]=>[7,1,8,3,6,5,2,4]=>[1,2,2,1,2]=>11010110=>5 [8,3,4,2,1,6,5,7]=>[1,6,5,7,8,3,4,2]=>[2,3,2,1]=>10100101=>6 [6,4,7,2,5,8,1,3]=>[3,5,2,7,4,1,8,6]=>[2,2,1,2,1]=>10101101=>6 [8,4,5,2,6,3,1,7]=>[1,5,4,7,3,6,8,2]=>[2,2,3,1]=>10101001=>6 [2,4,5,8,3,6,1,7]=>[7,5,4,1,6,3,8,2]=>[1,1,1,2,2,1]=>11110101=>4 [3,5,8,1,2,6,4,7]=>[6,4,1,8,7,3,5,2]=>[1,1,2,1,2,1]=>11101101=>4 [8,6,1,3,5,2,4,7]=>[1,3,8,6,4,7,5,2]=>[3,1,2,1,1]=>10011011=>4 [8,5,1,2,6,4,3,7]=>[1,4,8,7,3,5,6,2]=>[3,1,3,1]=>10011001=>4 [5,8,6,1,3,4,2,7]=>[4,1,3,8,6,5,7,2]=>[1,3,1,2,1]=>11001101=>4 [5,8,4,6,1,3,2,7]=>[4,1,5,3,8,6,7,2]=>[1,2,2,2,1]=>11010101=>6 [7,3,4,5,2,8,1,6]=>[2,6,5,4,7,1,8,3]=>[2,1,2,2,1]=>10110101=>6 [5,7,4,3,6,1,8,2]=>[4,2,5,6,3,8,1,7]=>[1,3,2,2]=>11001010=>5 [2,6,4,3,7,8,5,1]=>[7,3,5,6,2,1,4,8]=>[1,3,1,3]=>11001100=>3 [7,4,1,8,3,2,5,6]=>[2,5,8,1,6,7,4,3]=>[3,3,1,1]=>10010011=>4 [6,2,1,7,8,4,5,3]=>[3,7,8,2,1,5,4,6]=>[3,1,2,2]=>10011010=>5 [7,6,3,1,5,4,8,2]=>[2,3,6,8,4,5,1,7]=>[4,2,2]=>10001010=>5 [2,4,6,5,1,7,8,3]=>[7,5,3,4,8,2,1,6]=>[1,1,3,1,2]=>11100110=>3 [1,4,7,5,6,8,2,3]=>[8,5,2,4,3,1,7,6]=>[1,1,2,1,2,1]=>11101101=>4 [1,4,7,6,5,8,2,3]=>[8,5,2,3,4,1,7,6]=>[1,1,3,2,1]=>11100101=>4 [3,7,5,2,4,6,8,1]=>[6,2,4,7,5,3,1,8]=>[1,3,1,1,2]=>11001110=>3 [5,6,1,7,4,2,8,3]=>[4,3,8,2,5,7,1,6]=>[1,2,3,2]=>11010010=>5 [3,7,4,8,1,2,6,5]=>[6,2,5,1,8,7,3,4]=>[1,2,2,1,2]=>11010110=>5 [6,3,5,7,8,1,4,2]=>[3,6,4,2,1,8,5,7]=>[2,1,1,2,2]=>10111010=>5 [3,6,5,7,1,8,4,2]=>[6,3,4,2,8,1,5,7]=>[1,2,2,3]=>11010100=>5 [6,4,7,8,2,1,3,5]=>[3,5,2,1,7,8,6,4]=>[2,1,3,1,1]=>10110011=>4 [6,7,3,8,4,1,2,5]=>[3,2,6,1,5,8,7,4]=>[1,2,3,1,1]=>11010011=>4 [2,7,8,3,4,6,1,5]=>[7,2,1,6,5,3,8,4]=>[1,1,2,1,2,1]=>11101101=>4 [7,5,8,4,1,3,2,6]=>[2,4,1,5,8,6,7,3]=>[2,3,2,1]=>10100101=>6 [4,7,5,8,3,1,2,6]=>[5,2,4,1,6,8,7,3]=>[1,2,3,1,1]=>11010011=>4 [3,6,7,4,8,1,2,5]=>[6,3,2,5,1,8,7,4]=>[1,1,2,2,1,1]=>11101011=>4 [5,7,3,1,6,8,4,2]=>[4,2,6,8,3,1,5,7]=>[1,3,1,3]=>11001100=>3 [2,7,3,1,8,6,4,5]=>[7,2,6,8,1,3,5,4]=>[1,3,3,1]=>11001001=>4 [2,8,4,3,1,5,7,6]=>[7,1,5,6,8,4,2,3]=>[1,4,1,2]=>11000110=>3 [4,8,1,2,3,5,7,6]=>[5,1,8,7,6,4,2,3]=>[1,2,1,1,1,2]=>11011110=>3 [7,6,8,1,2,4,3,5]=>[2,3,1,8,7,5,6,4]=>[2,2,1,2,1]=>10101101=>6 [7,6,8,5,1,3,2,4]=>[2,3,1,4,8,6,7,5]=>[2,3,2,1]=>10100101=>6 [2,8,5,4,6,1,7,3]=>[7,1,4,5,3,8,2,6]=>[1,3,2,2]=>11001010=>5 [8,4,5,2,7,6,1,3]=>[1,5,4,7,2,3,8,6]=>[2,2,3,1]=>10101001=>6 [8,7,6,4,1,2,5,3]=>[1,2,3,5,8,7,4,6]=>[5,1,2]=>10000110=>3 [6,7,1,3,5,2,8,4]=>[3,2,8,6,4,7,1,5]=>[1,2,1,2,2]=>11011010=>5 [5,7,2,3,6,8,1,4]=>[4,2,7,6,3,1,8,5]=>[1,2,1,1,2,1]=>11011101=>4 [8,5,3,2,7,6,1,4]=>[1,4,6,7,2,3,8,5]=>[4,3,1]=>10001001=>4 [3,4,6,7,5,8,1,2]=>[6,5,3,2,4,1,8,7]=>[1,1,1,2,2,1]=>11110101=>4 [3,4,5,7,6,1,8,2]=>[6,5,4,2,3,8,1,7]=>[1,1,1,3,2]=>11110010=>3 [2,6,4,5,7,8,3,1]=>[7,3,5,4,2,1,6,8]=>[1,2,1,1,3]=>11011100=>3 [3,8,5,1,6,2,7,4]=>[6,1,4,8,3,7,2,5]=>[1,3,2,2]=>11001010=>5 [2,5,1,3,6,8,7,4]=>[7,4,8,6,3,1,2,5]=>[1,2,1,1,3]=>11011100=>3 [5,4,6,1,3,7,8,2]=>[4,5,3,8,6,2,1,7]=>[2,2,1,1,2]=>10101110=>5 [6,3,5,7,1,4,8,2]=>[3,6,4,2,8,5,1,7]=>[2,1,2,1,2]=>10110110=>5 [7,3,4,6,8,1,5,2]=>[2,6,5,3,1,8,4,7]=>[2,1,1,2,2]=>10111010=>5 [7,5,2,8,4,1,3,6]=>[2,4,7,1,5,8,6,3]=>[3,3,1,1]=>10010011=>4 [3,7,6,4,1,8,2,5]=>[6,2,3,5,8,1,7,4]=>[1,4,2,1]=>11000101=>4 [3,7,8,4,1,5,6,2]=>[6,2,1,5,8,4,3,7]=>[1,1,3,1,2]=>11100110=>3 [8,7,5,4,2,1,6,3]=>[1,2,4,5,7,8,3,6]=>[6,2]=>10000010=>3 [3,5,8,6,7,4,2,1]=>[6,4,1,3,2,5,7,8]=>[1,1,2,4]=>11101000=>3 [5,8,1,6,7,3,4,2]=>[4,1,8,3,2,6,5,7]=>[1,2,1,2,2]=>11011010=>5 [6,7,2,5,1,8,4,3]=>[3,2,7,4,8,1,5,6]=>[1,2,2,3]=>11010100=>5 [5,8,2,1,6,7,4,3]=>[4,1,7,8,3,2,5,6]=>[1,3,1,3]=>11001100=>3 [4,5,2,8,6,3,7,1]=>[5,4,7,1,3,6,2,8]=>[1,2,3,2]=>11010010=>5 [3,6,1,2,5,8,4,7]=>[6,3,8,7,4,1,5,2]=>[1,2,1,1,2,1]=>11011101=>4 [1,4,5,8,2,3,7,6]=>[8,5,4,1,7,6,2,3]=>[1,1,1,2,1,2]=>11110110=>3 [1,2,6,4,5,8,3,7]=>[8,7,3,5,4,1,6,2]=>[1,1,2,1,2,1]=>11101101=>4 [1,5,2,4,6,8,3,7]=>[8,4,7,5,3,1,6,2]=>[1,2,1,1,2,1]=>11011101=>4 [3,6,1,5,8,2,4,7]=>[6,3,8,4,1,7,5,2]=>[1,2,1,2,1,1]=>11011011=>4 [2,6,5,1,4,8,3,7]=>[7,3,4,8,5,1,6,2]=>[1,3,1,2,1]=>11001101=>4 [5,2,6,1,4,8,3,7]=>[4,7,3,8,5,1,6,2]=>[2,2,1,2,1]=>10101101=>6 [2,5,1,8,4,7,3,6]=>[7,4,8,1,5,2,6,3]=>[1,2,2,2,1]=>11010101=>6 [2,7,1,4,3,6,8,5]=>[7,2,8,5,6,3,1,4]=>[1,2,2,1,2]=>11010110=>5 [1,3,7,5,8,2,4,6]=>[8,6,2,4,1,7,5,3]=>[1,1,2,2,1,1]=>11101011=>4 [8,2,1,5,7,3,4,6]=>[1,7,8,4,2,6,5,3]=>[3,1,2,1,1]=>10011011=>4 [2,5,4,8,1,3,7,6]=>[7,4,5,1,8,6,2,3]=>[1,2,2,1,2]=>11010110=>5 [2,4,1,3,8,6,7,5]=>[7,5,8,6,1,3,2,4]=>[1,2,1,2,2]=>11011010=>5 [8,4,3,7,1,2,6,5]=>[1,5,6,2,8,7,3,4]=>[3,2,1,2]=>10010110=>5 [1,7,3,5,8,2,6,4]=>[8,2,6,4,1,7,3,5]=>[1,2,1,2,2]=>11011010=>5 [1,8,4,2,6,7,3,5]=>[8,1,5,7,3,2,6,4]=>[1,3,1,2,1]=>11001101=>4 [3,1,6,8,7,2,4,5]=>[6,8,3,1,2,7,5,4]=>[2,1,3,1,1]=>10110011=>4 [7,2,1,6,8,3,4,5]=>[2,7,8,3,1,6,5,4]=>[3,1,2,1,1]=>10011011=>4 [3,1,7,6,8,2,4,5]=>[6,8,2,3,1,7,5,4]=>[2,2,2,1,1]=>10101011=>6 [4,1,7,2,6,8,3,5]=>[5,8,2,7,3,1,6,4]=>[2,2,1,2,1]=>10101101=>6 [5,1,7,2,3,6,8,4]=>[4,8,2,7,6,3,1,5]=>[2,2,1,1,2]=>10101110=>5 [7,2,1,6,3,5,8,4]=>[2,7,8,3,6,4,1,5]=>[3,2,1,2]=>10010110=>5 [2,6,1,7,3,5,8,4]=>[7,3,8,2,6,4,1,5]=>[1,2,2,1,2]=>11010110=>5 [7,1,2,5,3,6,8,4]=>[2,8,7,4,6,3,1,5]=>[2,1,2,1,2]=>10110110=>5 [5,4,1,2,7,8,3,6]=>[4,5,8,7,2,1,6,3]=>[3,1,1,2,1]=>10011101=>4 [8,1,3,2,4,6,7,5]=>[1,8,6,7,5,3,2,4]=>[2,2,1,1,2]=>10101110=>5 [7,3,1,2,4,6,8,5]=>[2,6,8,7,5,3,1,4]=>[3,1,1,1,2]=>10011110=>3 [1,8,3,4,7,2,5,6]=>[8,1,6,5,2,7,4,3]=>[1,2,1,2,1,1]=>11011011=>4 [3,5,8,1,2,7,4,6]=>[6,4,1,8,7,2,5,3]=>[1,1,2,1,2,1]=>11101101=>4 [3,6,8,1,2,4,7,5]=>[6,3,1,8,7,5,2,4]=>[1,1,2,1,1,2]=>11101110=>3 [4,1,3,8,7,2,6,5]=>[5,8,6,1,2,7,3,4]=>[2,1,3,2]=>10110010=>5 [1,3,7,4,8,2,6,5]=>[8,6,2,5,1,7,3,4]=>[1,1,2,2,2]=>11101010=>5 [1,4,6,8,2,3,7,5]=>[8,5,3,1,7,6,2,4]=>[1,1,1,2,1,2]=>11110110=>3 [3,5,8,1,7,2,4,6]=>[6,4,1,8,2,7,5,3]=>[1,1,2,2,1,1]=>11101011=>4 [2,6,8,1,7,3,4,5]=>[7,3,1,8,2,6,5,4]=>[1,1,2,2,1,1]=>11101011=>4 [6,1,5,8,2,3,7,4]=>[3,8,4,1,7,6,2,5]=>[2,1,2,1,2]=>10110110=>5 [1,8,3,2,7,5,6,4]=>[8,1,6,7,2,4,3,5]=>[1,3,2,2]=>11001010=>5 [3,1,7,2,8,5,6,4]=>[6,8,2,7,1,4,3,5]=>[2,2,2,2]=>10101010=>7 [2,6,7,3,8,1,5,4]=>[7,3,2,6,1,8,4,5]=>[1,1,2,2,2]=>11101010=>5 [8,4,1,7,3,6,2,5]=>[1,5,8,2,6,3,7,4]=>[3,2,2,1]=>10010101=>6 [3,7,2,8,6,1,5,4]=>[6,2,7,1,3,8,4,5]=>[1,2,3,2]=>11010010=>5 [6,2,3,8,7,1,5,4]=>[3,7,6,1,2,8,4,5]=>[2,1,3,2]=>10110010=>5 [5,1,7,8,4,2,6,3]=>[4,8,2,1,5,7,3,6]=>[2,1,3,2]=>10110010=>5 [5,1,8,7,4,2,6,3]=>[4,8,1,2,5,7,3,6]=>[2,4,2]=>10100010=>5 [4,7,2,8,3,6,5,1]=>[5,2,7,1,6,3,4,8]=>[1,2,2,3]=>11010100=>5 [4,1,7,8,5,3,6,2]=>[5,8,2,1,4,6,3,7]=>[2,1,3,2]=>10110010=>5 [5,1,7,4,8,3,6,2]=>[4,8,2,5,1,6,3,7]=>[2,2,2,2]=>10101010=>7 [4,1,8,7,5,3,6,2]=>[5,8,1,2,4,6,3,7]=>[2,4,2]=>10100010=>5 [4,8,2,7,3,6,5,1]=>[5,1,7,2,6,3,4,8]=>[1,2,2,3]=>11010100=>5 [4,7,2,6,3,5,8,1]=>[5,2,7,3,6,4,1,8]=>[1,2,2,1,2]=>11010110=>5 [6,8,2,4,3,7,5,1]=>[3,1,7,5,6,2,4,8]=>[1,2,2,3]=>11010100=>5 [6,7,2,4,3,8,5,1]=>[3,2,7,5,6,1,4,8]=>[1,2,2,3]=>11010100=>5 [6,8,2,7,3,5,4,1]=>[3,1,7,2,6,4,5,8]=>[1,2,2,3]=>11010100=>5 [3,8,7,2,4,1,5,6]=>[6,1,2,7,5,8,4,3]=>[1,3,2,1,1]=>11001011=>4 [3,7,8,2,4,1,5,6]=>[6,2,1,7,5,8,4,3]=>[1,1,2,2,1,1]=>11101011=>4 [3,6,8,2,4,5,7,1]=>[6,3,1,7,5,4,2,8]=>[1,1,2,1,1,2]=>11101110=>3 [3,6,7,2,4,5,8,1]=>[6,3,2,7,5,4,1,8]=>[1,1,2,1,1,2]=>11101110=>3 [6,5,1,4,2,3,8,7]=>[3,4,8,5,7,6,1,2]=>[3,2,1,2]=>10010110=>5 [8,6,1,7,2,5,4,3]=>[1,3,8,2,7,4,5,6]=>[3,2,3]=>10010100=>5 [8,7,6,1,2,3,5,4]=>[1,2,3,8,7,6,4,5]=>[4,1,1,2]=>10001110=>3 [5,4,3,1,6,2,8,7]=>[4,5,6,8,3,7,1,2]=>[4,2,2]=>10001010=>5 [8,3,4,7,1,6,2,5]=>[1,6,5,2,8,3,7,4]=>[2,1,2,2,1]=>10110101=>6 [6,3,4,1,8,5,2,7]=>[3,6,5,8,1,4,7,2]=>[2,2,3,1]=>10101001=>6 [3,8,5,2,7,1,6,4]=>[6,1,4,7,2,8,3,5]=>[1,3,2,2]=>11001010=>5 [2,8,6,7,5,3,4,1]=>[7,1,3,2,4,6,5,8]=>[1,2,3,2]=>11010010=>5 [2,1,8,7,3,6,4,5]=>[7,8,1,2,6,3,5,4]=>[2,3,2,1]=>10100101=>6 [3,6,5,8,2,4,7,1]=>[6,3,4,1,7,5,2,8]=>[1,2,2,1,2]=>11010110=>5 [5,2,1,8,7,3,4,6]=>[4,7,8,1,2,6,5,3]=>[3,3,1,1]=>10010011=>4 [6,5,2,7,4,3,8,1]=>[3,4,7,2,5,6,1,8]=>[3,3,2]=>10010010=>5 [4,6,5,2,7,3,8,1]=>[5,3,4,7,2,6,1,8]=>[1,3,2,2]=>11001010=>5 [6,2,7,1,8,3,5,4]=>[3,7,2,8,1,6,4,5]=>[2,2,2,2]=>10101010=>7 [2,7,5,4,8,3,6,1]=>[7,2,4,5,1,6,3,8]=>[1,3,2,2]=>11001010=>5 [8,7,5,1,2,6,4,3]=>[1,2,4,8,7,3,5,6]=>[4,1,3]=>10001100=>3 [8,4,3,2,7,1,6,5]=>[1,5,6,7,2,8,3,4]=>[4,2,2]=>10001010=>5 [7,1,6,2,3,8,5,4]=>[2,8,3,7,6,1,4,5]=>[2,2,1,3]=>10101100=>5 [4,8,1,3,2,7,5,6]=>[5,1,8,6,7,2,4,3]=>[1,2,2,2,1]=>11010101=>6 [3,8,1,4,7,5,2,6]=>[6,1,8,5,2,4,7,3]=>[1,2,1,3,1]=>11011001=>4 [6,3,8,7,4,5,1,2]=>[3,6,1,2,5,4,8,7]=>[2,3,2,1]=>10100101=>6 [6,1,4,8,5,2,3,7]=>[3,8,5,1,4,7,6,2]=>[2,1,3,1,1]=>10110011=>4 [8,5,7,4,6,2,1,3]=>[1,4,2,5,3,7,8,6]=>[2,2,3,1]=>10101001=>6 [4,6,7,8,2,3,5,1]=>[5,3,2,1,7,6,4,8]=>[1,1,1,2,1,2]=>11110110=>3 [8,7,4,6,2,1,5,3]=>[1,2,5,3,7,8,4,6]=>[3,3,2]=>10010010=>5 [7,6,1,3,5,2,8,4]=>[2,3,8,6,4,7,1,5]=>[3,1,2,2]=>10011010=>5 [5,8,3,2,4,6,1,7]=>[4,1,6,7,5,3,8,2]=>[1,3,1,2,1]=>11001101=>4 [8,2,6,5,3,1,7,4]=>[1,7,3,4,6,8,2,5]=>[2,4,2]=>10100010=>5 [4,8,7,6,5,2,3,1]=>[5,1,2,3,4,7,6,8]=>[1,5,2]=>11000010=>3 [2,1,8,6,4,3,7,5]=>[7,8,1,3,5,6,2,4]=>[2,4,2]=>10100010=>5 [2,1,7,6,5,3,8,4]=>[7,8,2,3,4,6,1,5]=>[2,4,2]=>10100010=>5 [2,7,6,1,3,5,8,4]=>[7,2,3,8,6,4,1,5]=>[1,3,1,1,2]=>11001110=>3 [7,2,5,4,6,1,8,3]=>[2,7,4,5,3,8,1,6]=>[2,2,2,2]=>10101010=>7 [4,7,6,1,2,5,8,3]=>[5,2,3,8,7,4,1,6]=>[1,3,1,1,2]=>11001110=>3 [2,4,1,7,6,8,5,3]=>[7,5,8,2,3,1,4,6]=>[1,2,2,3]=>11010100=>5 [3,4,1,7,8,5,6,2]=>[6,5,8,2,1,4,3,7]=>[1,2,1,2,2]=>11011010=>5 [7,5,4,3,1,8,6,2]=>[2,4,5,6,8,1,3,7]=>[5,3]=>10000100=>3 [8,5,6,2,7,3,1,4]=>[1,4,3,7,2,6,8,5]=>[2,2,3,1]=>10101001=>6 [8,4,2,5,6,1,7,3]=>[1,5,7,4,3,8,2,6]=>[3,1,2,2]=>10011010=>5 [6,3,5,4,1,7,8,2]=>[3,6,4,5,8,2,1,7]=>[2,3,1,2]=>10100110=>5 [4,1,3,6,7,5,8,2]=>[5,8,6,3,2,4,1,7]=>[2,1,1,2,2]=>10111010=>5 [1,7,5,3,8,2,4,6]=>[8,2,4,6,1,7,5,3]=>[1,3,2,1,1]=>11001011=>4 [1,7,2,4,5,8,3,6]=>[8,2,7,5,4,1,6,3]=>[1,2,1,1,2,1]=>11011101=>4 [8,2,5,3,1,6,4,7]=>[1,7,4,6,8,3,5,2]=>[2,3,2,1]=>10100101=>6 [1,7,4,5,8,3,2,6]=>[8,2,5,4,1,6,7,3]=>[1,2,1,3,1]=>11011001=>4 [2,6,4,7,8,3,5,1]=>[7,3,5,2,1,6,4,8]=>[1,2,1,2,2]=>11011010=>5 [2,6,4,7,8,3,1,5]=>[7,3,5,2,1,6,8,4]=>[1,2,1,3,1]=>11011001=>4 [1,2,6,4,7,8,3,5]=>[8,7,3,5,2,1,6,4]=>[1,1,2,1,2,1]=>11101101=>4 [2,7,4,5,8,1,3,6]=>[7,2,5,4,1,8,6,3]=>[1,2,1,2,1,1]=>11011011=>4 [2,7,5,3,1,8,4,6]=>[7,2,4,6,8,1,5,3]=>[1,4,2,1]=>11000101=>4 [6,1,4,7,8,3,5,2]=>[3,8,5,2,1,6,4,7]=>[2,1,1,2,2]=>10111010=>5 [3,6,4,7,8,1,5,2]=>[6,3,5,2,1,8,4,7]=>[1,2,1,2,2]=>11011010=>5 [4,3,6,7,1,8,5,2]=>[5,6,3,2,8,1,4,7]=>[2,1,2,3]=>10110100=>5 [4,3,6,7,1,8,2,5]=>[5,6,3,2,8,1,7,4]=>[2,1,2,2,1]=>10110101=>6 [3,6,4,7,8,1,2,5]=>[6,3,5,2,1,8,7,4]=>[1,2,1,2,1,1]=>11011011=>4 [2,3,6,4,1,7,8,5]=>[7,6,3,5,8,2,1,4]=>[1,1,3,1,2]=>11100110=>3 [4,7,2,1,5,3,8,6]=>[5,2,7,8,4,6,1,3]=>[1,3,2,2]=>11001010=>5 [3,7,4,5,2,1,8,6]=>[6,2,5,4,7,8,1,3]=>[1,2,3,2]=>11010010=>5 [1,3,6,4,7,2,8,5]=>[8,6,3,5,2,7,1,4]=>[1,1,2,2,2]=>11101010=>5 [3,6,4,7,2,8,5,1]=>[6,3,5,2,7,1,4,8]=>[1,2,2,3]=>11010100=>5 [5,1,3,4,2,7,8,6]=>[4,8,6,5,7,2,1,3]=>[2,1,2,1,2]=>10110110=>5 [5,4,2,1,3,7,8,6]=>[4,5,7,8,6,2,1,3]=>[4,1,1,2]=>10001110=>3 [6,1,7,3,8,2,5,4]=>[3,8,2,6,1,7,4,5]=>[2,2,2,2]=>10101010=>7 [1,6,7,3,8,2,5,4]=>[8,3,2,6,1,7,4,5]=>[1,1,2,2,2]=>11101010=>5 [6,1,4,7,8,5,2,3]=>[3,8,5,2,1,4,7,6]=>[2,1,1,3,1]=>10111001=>4 [6,3,2,1,7,8,5,4]=>[3,6,7,8,2,1,4,5]=>[4,1,3]=>10001100=>3 [6,2,7,3,1,8,5,4]=>[3,7,2,6,8,1,4,5]=>[2,3,3]=>10100100=>5 [6,2,4,7,8,1,5,3]=>[3,7,5,2,1,8,4,6]=>[2,1,1,2,2]=>10111010=>5 [2,6,7,3,1,8,5,4]=>[7,3,2,6,8,1,4,5]=>[1,1,3,3]=>11100100=>3 [8,6,5,1,3,2,4,7]=>[1,3,4,8,6,7,5,2]=>[4,2,1,1]=>10001011=>4 [6,4,7,8,3,2,5,1]=>[3,5,2,1,6,7,4,8]=>[2,1,3,2]=>10110010=>5 [3,8,4,7,1,2,5,6]=>[6,1,5,2,8,7,4,3]=>[1,2,2,1,1,1]=>11010111=>4 [8,6,1,2,5,4,3,7]=>[1,3,8,7,4,5,6,2]=>[3,1,3,1]=>10011001=>4 [4,8,6,1,5,3,2,7]=>[5,1,3,8,4,6,7,2]=>[1,3,3,1]=>11001001=>4 [5,8,6,4,1,3,2,7]=>[4,1,3,5,8,6,7,2]=>[1,4,2,1]=>11000101=>4 [8,3,6,4,5,2,1,7]=>[1,6,3,5,4,7,8,2]=>[2,2,3,1]=>10101001=>6 [6,8,5,7,4,2,3,1]=>[3,1,4,2,5,7,6,8]=>[1,2,3,2]=>11010010=>5 [2,3,8,7,1,6,4,5]=>[7,6,1,2,8,3,5,4]=>[1,1,3,2,1]=>11100101=>4 [4,3,7,8,1,6,2,5]=>[5,6,2,1,8,3,7,4]=>[2,1,2,2,1]=>10110101=>6 [3,5,8,7,4,1,2,6]=>[6,4,1,2,5,8,7,3]=>[1,1,4,1,1]=>11100011=>2 [7,3,8,4,1,2,5,6]=>[2,6,1,5,8,7,4,3]=>[2,3,1,1,1]=>10100111=>4 [4,8,1,2,7,3,5,6]=>[5,1,8,7,2,6,4,3]=>[1,2,1,2,1,1]=>11011011=>4 [6,8,1,2,7,4,5,3]=>[3,1,8,7,2,5,4,6]=>[1,2,1,2,2]=>11011010=>5 [5,6,8,4,1,3,7,2]=>[4,3,1,5,8,6,2,7]=>[1,1,3,1,2]=>11100110=>3 [8,5,4,7,1,6,3,2]=>[1,4,5,2,8,3,6,7]=>[3,2,3]=>10010100=>5 [2,5,8,7,3,6,4,1]=>[7,4,1,2,6,3,5,8]=>[1,1,3,3]=>11100100=>3 [2,4,8,7,5,6,1,3]=>[7,5,1,2,4,3,8,6]=>[1,1,3,2,1]=>11100101=>4 [3,7,4,8,5,6,2,1]=>[6,2,5,1,4,3,7,8]=>[1,2,2,3]=>11010100=>5 [6,4,8,7,5,1,2,3]=>[3,5,1,2,4,8,7,6]=>[2,4,1,1]=>10100011=>4 [3,8,5,2,4,6,7,1]=>[6,1,4,7,5,3,2,8]=>[1,3,1,1,2]=>11001110=>3 [5,7,1,8,4,6,2,3]=>[4,2,8,1,5,3,7,6]=>[1,2,2,2,1]=>11010101=>6 [6,3,8,7,2,1,4,5]=>[3,6,1,2,7,8,5,4]=>[2,4,1,1]=>10100011=>4 [2,3,7,8,5,6,1,4]=>[7,6,2,1,4,3,8,5]=>[1,1,1,2,2,1]=>11110101=>4 [3,7,6,8,5,1,2,4]=>[6,2,3,1,4,8,7,5]=>[1,2,3,1,1]=>11010011=>4 [2,6,7,8,5,1,3,4]=>[7,3,2,1,4,8,6,5]=>[1,1,1,3,1,1]=>11110011=>2 [2,4,7,8,1,6,3,5]=>[7,5,2,1,8,3,6,4]=>[1,1,1,2,2,1]=>11110101=>4 [5,4,7,8,2,6,3,1]=>[4,5,2,1,7,3,6,8]=>[2,1,2,3]=>10110100=>5 [2,8,3,4,1,5,7,6]=>[7,1,6,5,8,4,2,3]=>[1,2,2,1,2]=>11010110=>5 [6,8,3,4,1,2,7,5]=>[3,1,6,5,8,7,2,4]=>[1,2,2,1,2]=>11010110=>5 [6,8,7,1,5,2,3,4]=>[3,1,2,8,4,7,6,5]=>[1,3,2,1,1]=>11001011=>4 [5,8,3,2,7,6,1,4]=>[4,1,6,7,2,3,8,5]=>[1,3,3,1]=>11001001=>4 [2,5,3,1,8,6,7,4]=>[7,4,6,8,1,3,2,5]=>[1,3,2,2]=>11001010=>5 [4,5,3,2,8,6,7,1]=>[5,4,6,7,1,3,2,8]=>[1,3,2,2]=>11001010=>5 [3,5,8,6,1,4,7,2]=>[6,4,1,3,8,5,2,7]=>[1,1,3,1,2]=>11100110=>3 [2,8,5,6,1,4,7,3]=>[7,1,4,3,8,5,2,6]=>[1,2,2,1,2]=>11010110=>5 [4,8,6,1,5,2,7,3]=>[5,1,3,8,4,7,2,6]=>[1,3,2,2]=>11001010=>5 [5,8,2,3,7,6,1,4]=>[4,1,7,6,2,3,8,5]=>[1,2,1,3,1]=>11011001=>4 [4,6,8,5,3,2,7,1]=>[5,3,1,4,6,7,2,8]=>[1,1,4,2]=>11100010=>3 [2,6,4,8,5,1,7,3]=>[7,3,5,1,4,8,2,6]=>[1,2,3,2]=>11010010=>5 [7,6,4,8,5,2,1,3]=>[2,3,5,1,4,7,8,6]=>[3,4,1]=>10010001=>4 [3,4,8,6,5,2,7,1]=>[6,5,1,3,4,7,2,8]=>[1,1,4,2]=>11100010=>3 [3,4,8,7,5,6,2,1]=>[6,5,1,2,4,3,7,8]=>[1,1,3,3]=>11100100=>3 [7,5,3,2,8,6,1,4]=>[2,4,6,7,1,3,8,5]=>[4,3,1]=>10001001=>4 [2,5,1,3,8,6,7,4]=>[7,4,8,6,1,3,2,5]=>[1,2,1,2,2]=>11011010=>5 [4,5,1,2,8,6,7,3]=>[5,4,8,7,1,3,2,6]=>[1,2,1,2,2]=>11011010=>5 [5,4,8,1,3,6,7,2]=>[4,5,1,8,6,3,2,7]=>[2,2,1,1,2]=>10101110=>5 [8,3,5,4,1,6,7,2]=>[1,6,4,5,8,3,2,7]=>[2,3,1,2]=>10100110=>5 [7,3,4,8,5,6,1,2]=>[2,6,5,1,4,3,8,7]=>[2,1,2,2,1]=>10110101=>6 [6,1,5,7,2,4,8,3]=>[3,8,4,2,7,5,1,6]=>[2,1,2,1,2]=>10110110=>5 [7,4,5,1,2,3,8,6]=>[2,5,4,8,7,6,1,3]=>[2,2,1,1,2]=>10101110=>5 [7,4,3,1,2,8,5,6]=>[2,5,6,8,7,1,4,3]=>[4,1,2,1]=>10001101=>4 [8,4,7,6,2,1,5,3]=>[1,5,2,3,7,8,4,6]=>[2,4,2]=>10100010=>5 [8,4,6,5,7,1,3,2]=>[1,5,3,4,2,8,6,7]=>[2,2,2,2]=>10101010=>7 [7,2,1,4,5,8,3,6]=>[2,7,8,5,4,1,6,3]=>[3,1,1,2,1]=>10011101=>4 [7,4,1,6,3,5,8,2]=>[2,5,8,3,6,4,1,7]=>[3,2,1,2]=>10010110=>5 [3,5,7,6,4,1,8,2]=>[6,4,2,3,5,8,1,7]=>[1,1,4,2]=>11100010=>3 [4,7,5,2,1,3,8,6]=>[5,2,4,7,8,6,1,3]=>[1,4,1,2]=>11000110=>3 [5,7,2,3,6,4,8,1]=>[4,2,7,6,3,5,1,8]=>[1,2,1,2,2]=>11011010=>5 [8,6,2,3,7,1,4,5]=>[1,3,7,6,2,8,5,4]=>[3,1,2,1,1]=>10011011=>4 [5,7,2,4,8,3,6,1]=>[4,2,7,5,1,6,3,8]=>[1,2,1,2,2]=>11011010=>5 [1,7,2,4,8,6,3,5]=>[8,2,7,5,1,3,6,4]=>[1,2,1,3,1]=>11011001=>4 [7,6,1,5,4,8,3,2]=>[2,3,8,4,5,1,6,7]=>[3,2,3]=>10010100=>5 [4,7,3,2,1,8,5,6]=>[5,2,6,7,8,1,4,3]=>[1,4,2,1]=>11000101=>4 [3,1,7,2,5,8,4,6]=>[6,8,2,7,4,1,5,3]=>[2,2,1,2,1]=>10101101=>6 [4,8,7,6,1,2,5,3]=>[5,1,2,3,8,7,4,6]=>[1,4,1,2]=>11000110=>3 [7,8,6,1,3,2,5,4]=>[2,1,3,8,6,7,4,5]=>[1,3,2,2]=>11001010=>5 [2,8,6,7,4,1,3,5]=>[7,1,3,2,5,8,6,4]=>[1,2,3,1,1]=>11010011=>4 [5,8,6,4,2,3,1,7]=>[4,1,3,5,7,6,8,2]=>[1,4,2,1]=>11000101=>4 [2,8,3,1,6,5,4,7]=>[7,1,6,8,3,4,5,2]=>[1,3,3,1]=>11001001=>4 [3,8,1,2,5,7,4,6]=>[6,1,8,7,4,2,5,3]=>[1,2,1,1,2,1]=>11011101=>4 [6,8,5,4,2,7,3,1]=>[3,1,4,5,7,2,6,8]=>[1,4,3]=>11000100=>3 [6,8,3,1,2,4,5,7]=>[3,1,6,8,7,5,4,2]=>[1,3,1,1,1,1]=>11001111=>2 [4,6,8,7,3,1,5,2]=>[5,3,1,2,6,8,4,7]=>[1,1,4,2]=>11100010=>3 [6,5,3,7,8,4,1,2]=>[3,4,6,2,1,5,8,7]=>[3,1,3,1]=>10011001=>4 [4,1,3,8,7,5,6,2]=>[5,8,6,1,2,4,3,7]=>[2,1,3,2]=>10110010=>5 [6,2,7,4,8,1,3,5]=>[3,7,2,5,1,8,6,4]=>[2,2,2,1,1]=>10101011=>6 [8,4,5,2,1,6,3,7]=>[1,5,4,7,8,3,6,2]=>[2,3,2,1]=>10100101=>6 [4,3,2,6,8,1,7,5]=>[5,6,7,3,1,8,2,4]=>[3,1,2,2]=>10011010=>5 [7,1,5,6,3,8,2,4]=>[2,8,4,3,6,1,7,5]=>[2,1,2,2,1]=>10110101=>6 [5,1,2,4,7,8,3,6]=>[4,8,7,5,2,1,6,3]=>[2,1,1,1,2,1]=>10111101=>4 [3,5,4,2,8,1,6,7]=>[6,4,5,7,1,8,3,2]=>[1,3,2,1,1]=>11001011=>4 [5,1,3,8,4,2,7,6]=>[4,8,6,1,5,7,2,3]=>[2,1,3,2]=>10110010=>5 [6,2,8,7,3,5,4,1]=>[3,7,1,2,6,4,5,8]=>[2,3,3]=>10100100=>5 [7,1,8,4,3,6,5,2]=>[2,8,1,5,6,3,4,7]=>[2,3,3]=>10100100=>5 [3,6,8,7,4,1,2,5]=>[6,3,1,2,5,8,7,4]=>[1,1,4,1,1]=>11100011=>2 [5,6,8,1,7,3,2,4]=>[4,3,1,8,2,6,7,5]=>[1,1,2,3,1]=>11101001=>4 [3,1,6,8,7,4,2,5]=>[6,8,3,1,2,5,7,4]=>[2,1,4,1]=>10110001=>4 [7,4,6,8,2,1,5,3]=>[2,5,3,1,7,8,4,6]=>[2,1,3,2]=>10110010=>5 [6,5,8,4,3,1,2,7]=>[3,4,1,5,6,8,7,2]=>[2,4,1,1]=>10100011=>4 [2,5,8,3,6,7,4,1]=>[7,4,1,6,3,2,5,8]=>[1,1,2,1,3]=>11101100=>3 [8,5,1,3,7,4,6,2]=>[1,4,8,6,2,5,3,7]=>[3,1,2,2]=>10011010=>5 [1,5,8,3,7,4,2,6]=>[8,4,1,6,2,5,7,3]=>[1,1,2,3,1]=>11101001=>4 [3,8,2,7,1,5,6,4]=>[6,1,7,2,8,4,3,5]=>[1,2,2,1,2]=>11010110=>5 [5,8,2,3,6,4,1,7]=>[4,1,7,6,3,5,8,2]=>[1,2,1,3,1]=>11011001=>4 [6,8,2,3,4,7,5,1]=>[3,1,7,6,5,2,4,8]=>[1,2,1,1,3]=>11011100=>3 [3,5,8,7,4,2,6,1]=>[6,4,1,2,5,7,3,8]=>[1,1,4,2]=>11100010=>3 [7,5,1,8,4,2,6,3]=>[2,4,8,1,5,7,3,6]=>[3,3,2]=>10010010=>5 [3,6,8,5,2,7,4,1]=>[6,3,1,4,7,2,5,8]=>[1,1,3,3]=>11100100=>3 [2,1,6,5,4,8,3,7]=>[7,8,3,4,5,1,6,2]=>[2,3,2,1]=>10100101=>6 [2,1,7,8,4,6,5,3]=>[7,8,2,1,5,3,4,6]=>[2,1,2,3]=>10110100=>5 [2,1,7,4,3,5,8,6]=>[7,8,2,5,6,4,1,3]=>[2,3,1,2]=>10100110=>5 [3,5,7,8,4,6,1,2]=>[6,4,2,1,5,3,8,7]=>[1,1,1,2,2,1]=>11110101=>4 [7,5,2,8,4,6,3,1]=>[2,4,7,1,5,3,6,8]=>[3,2,3]=>10010100=>5 [8,6,2,3,5,7,1,4]=>[1,3,7,6,4,2,8,5]=>[3,1,1,2,1]=>10011101=>4 [7,8,2,4,3,1,5,6]=>[2,1,7,5,6,8,4,3]=>[1,2,3,1,1]=>11010011=>4 [7,6,3,8,1,5,4,2]=>[2,3,6,1,8,4,5,7]=>[3,2,3]=>10010100=>5 [6,2,7,1,3,5,8,4]=>[3,7,2,8,6,4,1,5]=>[2,2,1,1,2]=>10101110=>5 [6,1,8,2,3,5,4,7]=>[3,8,1,7,6,4,5,2]=>[2,2,1,2,1]=>10101101=>6 [7,2,4,1,6,3,8,5]=>[2,7,5,8,3,6,1,4]=>[2,2,2,2]=>10101010=>7 [8,4,3,1,7,5,2,6]=>[1,5,6,8,2,4,7,3]=>[4,3,1]=>10001001=>4 [7,3,1,4,6,8,5,2]=>[2,6,8,5,3,1,4,7]=>[3,1,1,3]=>10011100=>3 [7,3,8,5,2,6,4,1]=>[2,6,1,4,7,3,5,8]=>[2,3,3]=>10100100=>5 [4,3,8,7,1,6,5,2]=>[5,6,1,2,8,3,4,7]=>[2,3,3]=>10100100=>5 [4,7,1,8,5,2,6,3]=>[5,2,8,1,4,7,3,6]=>[1,2,3,2]=>11010010=>5 [5,3,2,4,7,8,6,1]=>[4,6,7,5,2,1,3,8]=>[3,1,1,3]=>10011100=>3 [5,3,4,2,8,7,1,6]=>[4,6,5,7,1,2,8,3]=>[2,2,3,1]=>10101001=>6 [5,2,4,3,6,8,1,7]=>[4,7,5,6,3,1,8,2]=>[2,2,1,2,1]=>10101101=>6 [3,8,6,5,4,1,2,7]=>[6,1,3,4,5,8,7,2]=>[1,5,1,1]=>11000011=>2 [4,7,5,6,3,8,2,1]=>[5,2,4,3,6,1,7,8]=>[1,2,2,3]=>11010100=>5 [4,8,5,7,2,3,1,6]=>[5,1,4,2,7,6,8,3]=>[1,2,2,2,1]=>11010101=>6 [4,2,7,5,8,3,6,1]=>[5,7,2,4,1,6,3,8]=>[2,2,2,2]=>10101010=>7 [3,8,5,7,1,4,6,2]=>[6,1,4,2,8,5,3,7]=>[1,2,2,1,2]=>11010110=>5 [5,8,2,7,3,4,6,1]=>[4,1,7,2,6,5,3,8]=>[1,2,2,1,2]=>11010110=>5 [6,8,2,5,4,3,1,7]=>[3,1,7,4,5,6,8,2]=>[1,2,4,1]=>11010001=>4 [6,7,2,4,5,3,8,1]=>[3,2,7,5,4,6,1,8]=>[1,2,1,2,2]=>11011010=>5 [5,7,2,8,3,6,1,4]=>[4,2,7,1,6,3,8,5]=>[1,2,2,2,1]=>11010101=>6 [5,1,3,6,4,2,8,7]=>[4,8,6,3,5,7,1,2]=>[2,1,3,2]=>10110010=>5 [5,1,8,7,4,6,2,3]=>[4,8,1,2,5,3,7,6]=>[2,3,2,1]=>10100101=>6 [6,8,3,7,5,4,2,1]=>[3,1,6,2,4,5,7,8]=>[1,2,5]=>11010000=>3 [6,1,3,4,7,5,8,2]=>[3,8,6,5,2,4,1,7]=>[2,1,1,2,2]=>10111010=>5 [6,3,2,1,4,8,5,7]=>[3,6,7,8,5,1,4,2]=>[4,1,2,1]=>10001101=>4 [6,2,3,1,4,7,8,5]=>[3,7,6,8,5,2,1,4]=>[2,2,1,1,2]=>10101110=>5 [6,2,1,4,8,7,5,3]=>[3,7,8,5,1,2,4,6]=>[3,1,4]=>10011000=>3 [6,2,8,3,5,7,4,1]=>[3,7,1,6,4,2,5,8]=>[2,2,1,3]=>10101100=>5 [5,2,1,3,6,4,8,7]=>[4,7,8,6,3,5,1,2]=>[3,1,2,2]=>10011010=>5 [7,1,8,3,5,4,6,2]=>[2,8,1,6,4,5,3,7]=>[2,2,2,2]=>10101010=>7 [7,1,2,4,8,5,6,3]=>[2,8,7,5,1,4,3,6]=>[2,1,1,2,2]=>10111010=>5 [7,1,3,2,4,8,6,5]=>[2,8,6,7,5,1,3,4]=>[2,2,1,3]=>10101100=>5 [7,2,1,3,4,5,8,6]=>[2,7,8,6,5,4,1,3]=>[3,1,1,1,2]=>10011110=>3 [8,7,3,5,4,2,1,6]=>[1,2,6,4,5,7,8,3]=>[3,4,1]=>10010001=>4 [8,4,6,5,3,2,1,7]=>[1,5,3,4,6,7,8,2]=>[2,5,1]=>10100001=>4 [5,1,6,4,3,2,8,7]=>[4,8,3,5,6,7,1,2]=>[2,4,2]=>10100010=>5 [8,3,7,1,4,6,5,2]=>[1,6,2,8,5,3,4,7]=>[2,2,1,3]=>10101100=>5 [2,8,3,6,4,7,5,1]=>[7,1,6,3,5,2,4,8]=>[1,2,2,3]=>11010100=>5 [6,2,1,7,5,8,3,4]=>[3,7,8,2,4,1,6,5]=>[3,2,2,1]=>10010101=>6 [6,3,8,7,5,2,1,4]=>[3,6,1,2,4,7,8,5]=>[2,5,1]=>10100001=>4 [6,7,2,1,5,8,4,3]=>[3,2,7,8,4,1,5,6]=>[1,3,1,3]=>11001100=>3 [9,1,8,7,6,5,4,3,2]=>[1,9,2,3,4,5,6,7,8]=>[2,7]=>101000000=>3 [7,6,8,1,5,4,3,2]=>[2,3,1,8,4,5,6,7]=>[2,2,4]=>10101000=>5 [7,1,9,8,6,5,4,3,2]=>[3,9,1,2,4,5,6,7,8]=>[2,7]=>101000000=>3 [6,1,9,8,7,5,4,3,2]=>[4,9,1,2,3,5,6,7,8]=>[2,7]=>101000000=>3 [5,4,8,7,6,1,3,2]=>[4,5,1,2,3,8,6,7]=>[2,4,2]=>10100010=>5 [5,1,9,8,7,6,4,3,2]=>[5,9,1,2,3,4,6,7,8]=>[2,7]=>101000000=>3 [4,1,9,8,7,6,5,3,2]=>[6,9,1,2,3,4,5,7,8]=>[2,7]=>101000000=>3 [3,1,9,8,7,6,5,4,2]=>[7,9,1,2,3,4,5,6,8]=>[2,7]=>101000000=>3 [9,8,1,7,6,5,4,3,2]=>[1,2,9,3,4,5,6,7,8]=>[3,6]=>100100000=>3 [7,6,1,8,5,4,3,2]=>[2,3,8,1,4,5,6,7]=>[3,5]=>10010000=>3 [6,5,8,1,7,4,3,2]=>[3,4,1,8,2,5,6,7]=>[2,2,4]=>10101000=>5 [6,5,8,7,4,1,3,2]=>[3,4,1,2,5,8,6,7]=>[2,4,2]=>10100010=>5 [3,2,9,8,7,6,5,4,1]=>[7,8,1,2,3,4,5,6,9]=>[2,7]=>101000000=>3 [1,6,4,8,3,2,5,7]=>[8,3,5,1,6,7,4,2]=>[1,2,3,1,1]=>11010011=>4 [1,8,3,5,6,2,4,7]=>[8,1,6,4,3,7,5,2]=>[1,2,1,2,1,1]=>11011011=>4 [1,4,8,5,6,2,3,7]=>[8,5,1,4,3,7,6,2]=>[1,1,2,2,1,1]=>11101011=>4 [1,2,8,5,3,7,4,6]=>[8,7,1,4,6,2,5,3]=>[1,1,3,2,1]=>11100101=>4 [6,1,4,8,2,3,5,7]=>[3,8,5,1,7,6,4,2]=>[2,1,2,1,1,1]=>10110111=>4 [8,7,2,5,6,1,4,3]=>[1,2,7,4,3,8,5,6]=>[3,1,2,2]=>10011010=>5 [1,8,2,5,4,7,3,6]=>[8,1,7,4,5,2,6,3]=>[1,2,2,2,1]=>11010101=>6 [5,7,4,1,2,3,8,6]=>[4,2,5,8,7,6,1,3]=>[1,3,1,1,2]=>11001110=>3 [1,7,4,2,5,3,8,6]=>[8,2,5,7,4,6,1,3]=>[1,3,2,2]=>11001010=>5 [6,7,4,2,1,3,8,5]=>[3,2,5,7,8,6,1,4]=>[1,4,1,2]=>11000110=>3 [6,4,3,8,5,7,1,2]=>[3,5,6,1,4,2,8,7]=>[3,2,2,1]=>10010101=>6 [7,4,3,6,2,1,5,8]=>[2,5,6,3,7,8,4,1]=>[3,3,1,1]=>10010011=>4 [7,2,5,3,4,1,6,8]=>[2,7,4,6,5,8,3,1]=>[2,2,2,1,1]=>10101011=>6 [8,3,7,4,5,6,1,2]=>[1,6,2,5,4,3,8,7]=>[2,2,1,2,1]=>10101101=>6 [2,7,4,3,1,5,6,8]=>[7,2,5,6,8,4,3,1]=>[1,4,1,1,1]=>11000111=>2 [6,8,4,2,3,1,5,7]=>[3,1,5,7,6,8,4,2]=>[1,3,2,1,1]=>11001011=>4 [3,7,5,2,4,1,6,8]=>[6,2,4,7,5,8,3,1]=>[1,3,2,1,1]=>11001011=>4 [7,1,3,2,8,4,5,6]=>[2,8,6,7,1,5,4,3]=>[2,2,2,1,1]=>10101011=>6 [2,1,7,4,8,3,5,6]=>[7,8,2,5,1,6,4,3]=>[2,2,2,1,1]=>10101011=>6 [5,2,8,6,1,3,4,7]=>[4,7,1,3,8,6,5,2]=>[2,3,1,1,1]=>10100111=>4 [2,8,3,1,4,5,6,7]=>[7,1,6,8,5,4,3,2]=>[1,3,1,1,1,1]=>11001111=>2 [7,4,8,2,3,1,5,6]=>[2,5,1,7,6,8,4,3]=>[2,2,2,1,1]=>10101011=>6 [8,3,7,2,1,4,5,6]=>[1,6,2,7,8,5,4,3]=>[2,3,1,1,1]=>10100111=>4 [6,5,2,4,7,1,3,8]=>[3,4,7,5,2,8,6,1]=>[3,1,2,1,1]=>10011011=>4 [6,5,7,4,1,8,2,3]=>[3,4,2,5,8,1,7,6]=>[2,3,2,1]=>10100101=>6 [7,6,4,5,1,8,2,3]=>[2,3,5,4,8,1,7,6]=>[3,2,2,1]=>10010101=>6 [8,6,4,1,3,7,2,5]=>[1,3,5,8,6,2,7,4]=>[4,1,2,1]=>10001101=>4 [7,4,1,2,8,3,5,6]=>[2,5,8,7,1,6,4,3]=>[3,1,2,1,1]=>10011011=>4 [4,8,1,3,5,7,2,6]=>[5,1,8,6,4,2,7,3]=>[1,2,1,1,2,1]=>11011101=>4 [7,8,4,1,3,6,2,5]=>[2,1,5,8,6,3,7,4]=>[1,3,1,2,1]=>11001101=>4 [6,5,8,1,3,7,2,4]=>[3,4,1,8,6,2,7,5]=>[2,2,1,2,1]=>10101101=>6 [5,3,6,1,8,2,4,7]=>[4,6,3,8,1,7,5,2]=>[2,2,2,1,1]=>10101011=>6 [4,7,3,1,8,2,5,6]=>[5,2,6,8,1,7,4,3]=>[1,3,2,1,1]=>11001011=>4 [8,3,1,7,2,4,5,6]=>[1,6,8,2,7,5,4,3]=>[3,2,1,1,1]=>10010111=>4 [2,8,1,4,7,3,5,6]=>[7,1,8,5,2,6,4,3]=>[1,2,1,2,1,1]=>11011011=>4 [4,1,5,8,3,7,6,2]=>[5,8,4,1,6,2,3,7]=>[2,1,2,3]=>10110100=>5 [4,1,5,3,8,7,6,2]=>[5,8,4,6,1,2,3,7]=>[2,2,4]=>10101000=>5 [4,5,1,8,2,7,6,3]=>[5,4,8,1,7,2,3,6]=>[1,2,2,3]=>11010100=>5 [4,8,5,3,1,7,6,2]=>[5,1,4,6,8,2,3,7]=>[1,4,3]=>11000100=>3 [4,5,2,8,1,7,6,3]=>[5,4,7,1,8,2,3,6]=>[1,2,2,3]=>11010100=>5 [4,5,2,1,8,7,6,3]=>[5,4,7,8,1,2,3,6]=>[1,3,4]=>11001000=>3 [5,6,2,7,8,1,4,3]=>[4,3,7,2,1,8,5,6]=>[1,2,1,2,2]=>11011010=>5 [4,6,2,8,7,1,5,3]=>[5,3,7,1,2,8,4,6]=>[1,2,3,2]=>11010010=>5 [4,8,6,3,7,1,5,2]=>[5,1,3,6,2,8,4,7]=>[1,3,2,2]=>11001010=>5 [4,8,6,3,7,5,1,2]=>[5,1,3,6,2,4,8,7]=>[1,3,3,1]=>11001001=>4 [4,6,8,2,7,5,1,3]=>[5,3,1,7,2,4,8,6]=>[1,1,2,3,1]=>11101001=>4 [4,6,2,8,7,5,1,3]=>[5,3,7,1,2,4,8,6]=>[1,2,4,1]=>11010001=>4 [5,6,2,7,4,1,8,3]=>[4,3,7,2,5,8,1,6]=>[1,2,3,2]=>11010010=>5 [5,6,7,2,3,1,8,4]=>[4,3,2,7,6,8,1,5]=>[1,1,2,2,2]=>11101010=>5 [5,6,7,2,8,3,1,4]=>[4,3,2,7,1,6,8,5]=>[1,1,2,3,1]=>11101001=>4 [5,6,7,2,1,8,3,4]=>[4,3,2,7,8,1,6,5]=>[1,1,3,2,1]=>11100101=>4 [5,6,7,2,1,3,8,4]=>[4,3,2,7,8,6,1,5]=>[1,1,3,1,2]=>11100110=>3 [5,6,1,7,8,2,4,3]=>[4,3,8,2,1,7,5,6]=>[1,2,1,2,2]=>11011010=>5 [5,6,1,7,2,4,8,3]=>[4,3,8,2,7,5,1,6]=>[1,2,2,1,2]=>11010110=>5 [5,1,6,7,8,3,4,2]=>[4,8,3,2,1,6,5,7]=>[2,1,1,2,2]=>10111010=>5 [4,1,6,8,7,3,5,2]=>[5,8,3,1,2,6,4,7]=>[2,1,3,2]=>10110010=>5 [3,1,8,6,7,5,4,2]=>[6,8,1,3,2,4,5,7]=>[2,2,4]=>10101000=>5 [4,1,6,8,7,5,3,2]=>[5,8,3,1,2,4,6,7]=>[2,1,5]=>10110000=>3 [5,1,6,7,4,8,3,2]=>[4,8,3,2,5,1,6,7]=>[2,1,2,3]=>10110100=>5 [5,6,1,7,8,4,2,3]=>[4,3,8,2,1,5,7,6]=>[1,2,1,3,1]=>11011001=>4 [4,6,8,1,7,5,2,3]=>[5,3,1,8,2,4,7,6]=>[1,1,2,3,1]=>11101001=>4 [4,8,6,1,7,5,3,2]=>[5,1,3,8,2,4,6,7]=>[1,3,4]=>11001000=>3 [5,6,7,1,8,3,2,4]=>[4,3,2,8,1,6,7,5]=>[1,1,2,3,1]=>11101001=>4 [5,6,7,1,3,8,2,4]=>[4,3,2,8,6,1,7,5]=>[1,1,2,1,2,1]=>11101101=>4 [5,6,7,1,3,2,8,4]=>[4,3,2,8,6,7,1,5]=>[1,1,2,2,2]=>11101010=>5 [5,6,7,3,1,2,8,4]=>[4,3,2,6,8,7,1,5]=>[1,1,3,1,2]=>11100110=>3 [5,6,7,3,8,1,2,4]=>[4,3,2,6,1,8,7,5]=>[1,1,2,2,1,1]=>11101011=>4 [5,6,8,7,4,2,1,3]=>[4,3,1,2,5,7,8,6]=>[1,1,5,1]=>11100001=>2 [5,6,7,3,8,2,1,4]=>[4,3,2,6,1,7,8,5]=>[1,1,2,3,1]=>11101001=>4 [7,4,6,2,3,5,1,8]=>[2,5,3,7,6,4,8,1]=>[2,2,1,2,1]=>10101101=>6 [1,4,8,6,3,2,5,7]=>[8,5,1,3,6,7,4,2]=>[1,1,4,1,1]=>11100011=>2 [7,4,1,6,3,8,5,2]=>[2,5,8,3,6,1,4,7]=>[3,2,3]=>10010100=>5 [7,6,3,1,5,8,4,2]=>[2,3,6,8,4,1,5,7]=>[4,1,3]=>10001100=>3 [6,4,2,5,7,3,1,8]=>[3,5,7,4,2,6,8,1]=>[3,1,3,1]=>10011001=>4 [4,2,5,7,6,3,1,8]=>[5,7,4,2,3,6,8,1]=>[2,1,4,1]=>10110001=>4 [7,4,5,6,1,8,3,2]=>[2,5,4,3,8,1,6,7]=>[2,1,2,3]=>10110100=>5 [4,1,5,8,6,3,2,7]=>[5,8,4,1,3,6,7,2]=>[2,1,4,1]=>10110001=>4 [3,2,7,6,1,8,5,4]=>[6,7,2,3,8,1,4,5]=>[2,3,3]=>10100100=>5 [4,7,5,1,6,8,2,3]=>[5,2,4,8,3,1,7,6]=>[1,3,1,2,1]=>11001101=>4 [8,6,5,1,2,7,4,3]=>[1,3,4,8,7,2,5,6]=>[4,1,3]=>10001100=>3 [3,2,5,1,4,8,7,6]=>[6,7,4,8,5,1,2,3]=>[2,2,1,3]=>10101100=>5 [8,5,4,1,3,2,7,6]=>[1,4,5,8,6,7,2,3]=>[4,2,2]=>10001010=>5 [1,4,2,3,6,8,7,5]=>[8,5,7,6,3,1,2,4]=>[1,2,1,1,3]=>11011100=>3 [5,4,8,3,7,1,6,2]=>[4,5,1,6,2,8,3,7]=>[2,2,2,2]=>10101010=>7 [4,7,1,8,2,5,3,6]=>[5,2,8,1,7,4,6,3]=>[1,2,2,2,1]=>11010101=>6 [6,4,1,8,5,3,7,2]=>[3,5,8,1,4,6,2,7]=>[3,3,2]=>10010010=>5 [8,4,6,1,3,5,2,7]=>[1,5,3,8,6,4,7,2]=>[2,2,1,2,1]=>10101101=>6 [3,2,5,4,7,8,1,6]=>[6,7,4,5,2,1,8,3]=>[2,2,1,2,1]=>10101101=>6 [5,2,4,3,7,8,1,6]=>[4,7,5,6,2,1,8,3]=>[2,2,1,2,1]=>10101101=>6 [8,1,6,7,2,5,3,4]=>[1,8,3,2,7,4,6,5]=>[2,1,2,2,1]=>10110101=>6 [3,1,7,6,5,8,2,4]=>[6,8,2,3,4,1,7,5]=>[2,3,2,1]=>10100101=>6 [1,2,7,5,6,8,3,4]=>[8,7,2,4,3,1,6,5]=>[1,1,2,1,2,1]=>11101101=>4 [6,1,4,7,2,8,3,5]=>[3,8,5,2,7,1,6,4]=>[2,1,2,2,1]=>10110101=>6 [3,2,1,7,6,8,4,5]=>[6,7,8,2,3,1,5,4]=>[3,2,2,1]=>10010101=>6 [3,2,8,6,4,7,1,5]=>[6,7,1,3,5,2,8,4]=>[2,3,2,1]=>10100101=>6 [7,8,4,6,3,2,1,5]=>[2,1,5,3,6,7,8,4]=>[1,2,4,1]=>11010001=>4 [1,8,6,5,3,7,2,4]=>[8,1,3,4,6,2,7,5]=>[1,4,2,1]=>11000101=>4 [8,2,5,3,6,7,1,4]=>[1,7,4,6,3,2,8,5]=>[2,2,1,2,1]=>10101101=>6 [3,8,5,2,7,6,1,4]=>[6,1,4,7,2,3,8,5]=>[1,3,3,1]=>11001001=>4 [4,7,5,3,1,8,6,2]=>[5,2,4,6,8,1,3,7]=>[1,4,3]=>11000100=>3 [4,5,3,6,8,1,7,2]=>[5,4,6,3,1,8,2,7]=>[1,2,1,2,2]=>11011010=>5 [3,5,2,6,1,8,7,4]=>[6,4,7,3,8,1,2,5]=>[1,2,2,3]=>11010100=>5 [1,6,3,5,7,2,8,4]=>[8,3,6,4,2,7,1,5]=>[1,2,1,2,2]=>11011010=>5 [1,5,4,6,7,8,2,3]=>[8,4,5,3,2,1,7,6]=>[1,2,1,1,2,1]=>11011101=>4 [8,4,6,5,7,2,1,3]=>[1,5,3,4,2,7,8,6]=>[2,2,3,1]=>10101001=>6 [7,4,5,2,6,8,1,3]=>[2,5,4,7,3,1,8,6]=>[2,2,1,2,1]=>10101101=>6 [5,4,2,6,8,7,1,3]=>[4,5,7,3,1,2,8,6]=>[3,1,3,1]=>10011001=>4 [7,8,4,3,1,2,6,5]=>[2,1,5,6,8,7,3,4]=>[1,4,1,2]=>11000110=>3 [6,5,1,4,3,2,8,7]=>[3,4,8,5,6,7,1,2]=>[3,3,2]=>10010010=>5 [3,6,4,5,2,1,8,7]=>[6,3,5,4,7,8,1,2]=>[1,2,3,2]=>11010010=>5 [5,7,4,1,3,8,6,2]=>[4,2,5,8,6,1,3,7]=>[1,3,1,3]=>11001100=>3 [7,5,4,2,3,8,1,6]=>[2,4,5,7,6,1,8,3]=>[4,1,2,1]=>10001101=>4 [5,2,6,7,3,1,4,8]=>[4,7,3,2,6,8,5,1]=>[2,1,3,1,1]=>10110011=>4 [2,4,3,8,6,1,5,7]=>[7,5,6,1,3,8,4,2]=>[1,2,3,1,1]=>11010011=>4 [7,8,1,3,5,6,2,4]=>[2,1,8,6,4,3,7,5]=>[1,2,1,1,2,1]=>11011101=>4 [7,8,3,1,5,6,2,4]=>[2,1,6,8,4,3,7,5]=>[1,3,1,2,1]=>11001101=>4 [7,1,3,8,5,6,2,4]=>[2,8,6,1,4,3,7,5]=>[2,1,2,2,1]=>10110101=>6 [1,5,7,8,3,4,6,2]=>[8,4,2,1,6,5,3,7]=>[1,1,1,2,1,2]=>11110110=>3 [3,7,1,5,8,6,2,4]=>[6,2,8,4,1,3,7,5]=>[1,2,1,3,1]=>11011001=>4 [1,3,7,8,2,5,6,4]=>[8,6,2,1,7,4,3,5]=>[1,1,1,2,1,2]=>11110110=>3 [3,1,7,8,5,2,6,4]=>[6,8,2,1,4,7,3,5]=>[2,1,3,2]=>10110010=>5 [1,3,7,5,8,2,6,4]=>[8,6,2,4,1,7,3,5]=>[1,1,2,2,2]=>11101010=>5 [3,1,7,5,8,2,6,4]=>[6,8,2,4,1,7,3,5]=>[2,2,2,2]=>10101010=>7 [3,5,7,1,8,4,6,2]=>[6,4,2,8,1,5,3,7]=>[1,1,2,2,2]=>11101010=>5 [3,5,7,8,1,4,6,2]=>[6,4,2,1,8,5,3,7]=>[1,1,1,2,1,2]=>11110110=>3 [5,3,7,8,4,1,6,2]=>[4,6,2,1,5,8,3,7]=>[2,1,3,2]=>10110010=>5 [5,3,7,1,8,4,6,2]=>[4,6,2,8,1,5,3,7]=>[2,2,2,2]=>10101010=>7 [1,5,3,7,8,4,2,6]=>[8,4,6,2,1,5,7,3]=>[1,2,1,3,1]=>11011001=>4 [5,1,3,7,8,4,2,6]=>[4,8,6,2,1,5,7,3]=>[2,1,1,3,1]=>10111001=>4 [3,6,2,1,4,5,8,7]=>[6,3,7,8,5,4,1,2]=>[1,3,1,1,2]=>11001110=>3 [4,6,2,5,1,3,8,7]=>[5,3,7,4,8,6,1,2]=>[1,2,2,1,2]=>11010110=>5 [6,4,2,5,1,3,8,7]=>[3,5,7,4,8,6,1,2]=>[3,2,1,2]=>10010110=>5 [8,6,1,7,3,2,4,5]=>[1,3,8,2,6,7,5,4]=>[3,3,1,1]=>10010011=>4 [2,5,8,1,7,3,4,6]=>[7,4,1,8,2,6,5,3]=>[1,1,2,2,1,1]=>11101011=>4 [6,8,2,7,3,1,4,5]=>[3,1,7,2,6,8,5,4]=>[1,2,3,1,1]=>11010011=>4 [6,8,2,3,7,1,4,5]=>[3,1,7,6,2,8,5,4]=>[1,2,1,2,1,1]=>11011011=>4 [8,6,2,7,4,5,1,3]=>[1,3,7,2,5,4,8,6]=>[3,2,2,1]=>10010101=>6 [5,2,8,1,7,3,4,6]=>[4,7,1,8,2,6,5,3]=>[2,2,2,1,1]=>10101011=>6 [4,2,3,8,1,5,6,7]=>[5,7,6,1,8,4,3,2]=>[2,1,2,1,1,1]=>10110111=>4 [5,2,8,3,7,1,4,6]=>[4,7,1,6,2,8,5,3]=>[2,2,2,1,1]=>10101011=>6 [5,2,8,4,6,1,3,7]=>[4,7,1,5,3,8,6,2]=>[2,2,2,1,1]=>10101011=>6 [2,1,5,8,4,3,6,7]=>[7,8,4,1,5,6,3,2]=>[2,1,3,1,1]=>10110011=>4 [5,8,3,2,7,1,4,6]=>[4,1,6,7,2,8,5,3]=>[1,3,2,1,1]=>11001011=>4 [4,1,3,8,2,5,6,7]=>[5,8,6,1,7,4,3,2]=>[2,1,2,1,1,1]=>10110111=>4 [3,5,8,2,7,1,4,6]=>[6,4,1,7,2,8,5,3]=>[1,1,2,2,1,1]=>11101011=>4 [4,5,8,2,6,1,3,7]=>[5,4,1,7,3,8,6,2]=>[1,1,2,2,1,1]=>11101011=>4 [2,6,8,3,7,1,4,5]=>[7,3,1,6,2,8,5,4]=>[1,1,2,2,1,1]=>11101011=>4 [5,1,8,3,7,2,4,6]=>[4,8,1,6,2,7,5,3]=>[2,2,2,1,1]=>10101011=>6 [5,1,8,4,6,2,3,7]=>[4,8,1,5,3,7,6,2]=>[2,2,2,1,1]=>10101011=>6 [5,8,4,1,6,2,3,7]=>[4,1,5,8,3,7,6,2]=>[1,3,2,1,1]=>11001011=>4 [4,5,8,1,6,2,3,7]=>[5,4,1,8,3,7,6,2]=>[1,1,2,2,1,1]=>11101011=>4 [5,4,8,1,6,2,3,7]=>[4,5,1,8,3,7,6,2]=>[2,2,2,1,1]=>10101011=>6 [4,8,5,1,6,2,3,7]=>[5,1,4,8,3,7,6,2]=>[1,3,2,1,1]=>11001011=>4 [2,1,5,4,8,3,6,7]=>[7,8,4,5,1,6,3,2]=>[2,2,2,1,1]=>10101011=>6 [2,4,3,8,1,5,6,7]=>[7,5,6,1,8,4,3,2]=>[1,2,2,1,1,1]=>11010111=>4 [3,1,8,4,2,5,6,7]=>[6,8,1,5,7,4,3,2]=>[2,3,1,1,1]=>10100111=>4 [3,8,4,2,1,5,6,7]=>[6,1,5,7,8,4,3,2]=>[1,4,1,1,1]=>11000111=>2 [2,3,8,4,1,5,6,7]=>[7,6,1,5,8,4,3,2]=>[1,1,3,1,1,1]=>11100111=>2 [3,4,2,8,1,5,6,7]=>[6,5,7,1,8,4,3,2]=>[1,2,2,1,1,1]=>11010111=>4 [3,8,5,2,7,1,4,6]=>[6,1,4,7,2,8,5,3]=>[1,3,2,1,1]=>11001011=>4 [4,8,5,2,6,1,3,7]=>[5,1,4,7,3,8,6,2]=>[1,3,2,1,1]=>11001011=>4 [2,1,4,8,5,3,6,7]=>[7,8,5,1,4,6,3,2]=>[2,1,3,1,1]=>10110011=>4 [3,2,8,4,1,5,6,7]=>[6,7,1,5,8,4,3,2]=>[2,3,1,1,1]=>10100111=>4 [2,8,4,3,1,5,6,7]=>[7,1,5,6,8,4,3,2]=>[1,4,1,1,1]=>11000111=>2 [4,1,7,5,6,2,8,3]=>[5,8,2,4,3,7,1,6]=>[2,2,2,2]=>10101010=>7 [5,7,4,3,8,1,6,2]=>[4,2,5,6,1,8,3,7]=>[1,3,2,2]=>11001010=>5 [5,7,4,3,8,2,6,1]=>[4,2,5,6,1,7,3,8]=>[1,3,2,2]=>11001010=>5 [3,8,4,2,6,7,5,1]=>[6,1,5,7,3,2,4,8]=>[1,3,1,3]=>11001100=>3 [3,8,4,1,6,7,5,2]=>[6,1,5,8,3,2,4,7]=>[1,3,1,3]=>11001100=>3 [6,1,7,5,2,8,4,3]=>[3,8,2,4,7,1,5,6]=>[2,3,3]=>10100100=>5 [5,6,4,3,2,8,1,7]=>[4,3,5,6,7,1,8,2]=>[1,4,2,1]=>11000101=>4 [2,6,7,5,3,8,4,1]=>[7,3,2,4,6,1,5,8]=>[1,1,3,3]=>11100100=>3 [6,7,4,8,2,5,3,1]=>[3,2,5,1,7,4,6,8]=>[1,2,2,3]=>11010100=>5 [2,1,6,7,5,3,8,4]=>[7,8,3,2,4,6,1,5]=>[2,1,3,2]=>10110010=>5 [3,8,4,2,1,6,7,5]=>[6,1,5,7,8,3,2,4]=>[1,4,1,2]=>11000110=>3 [5,7,4,3,8,2,1,6]=>[4,2,5,6,1,7,8,3]=>[1,3,3,1]=>11001001=>4 [6,7,4,8,1,2,5,3]=>[3,2,5,1,8,7,4,6]=>[1,2,2,1,2]=>11010110=>5 [6,7,5,8,1,2,4,3]=>[3,2,4,1,8,7,5,6]=>[1,2,2,1,2]=>11010110=>5 [6,7,4,8,3,1,2,5]=>[3,2,5,1,6,8,7,4]=>[1,2,3,1,1]=>11010011=>4 [3,4,8,1,2,5,7,6]=>[6,5,1,8,7,4,2,3]=>[1,1,2,1,1,2]=>11101110=>3 [6,1,3,4,8,2,5,7]=>[3,8,6,5,1,7,4,2]=>[2,1,1,2,1,1]=>10111011=>4 [6,2,3,4,8,1,5,7]=>[3,7,6,5,1,8,4,2]=>[2,1,1,2,1,1]=>10111011=>4 [3,4,8,2,1,5,7,6]=>[6,5,1,7,8,4,2,3]=>[1,1,3,1,2]=>11100110=>3 [6,7,5,8,2,4,3,1]=>[3,2,4,1,7,5,6,8]=>[1,2,2,3]=>11010100=>5 [6,7,5,8,3,1,4,2]=>[3,2,4,1,6,8,5,7]=>[1,2,3,2]=>11010010=>5 [3,4,8,1,5,7,6,2]=>[6,5,1,8,4,2,3,7]=>[1,1,2,1,3]=>11101100=>3 [2,5,7,6,1,4,8,3]=>[7,4,2,3,8,5,1,6]=>[1,1,3,1,2]=>11100110=>3 [6,7,4,8,2,3,5,1]=>[3,2,5,1,7,6,4,8]=>[1,2,2,1,2]=>11010110=>5 [6,7,4,8,1,3,5,2]=>[3,2,5,1,8,6,4,7]=>[1,2,2,1,2]=>11010110=>5 [2,6,7,5,1,3,8,4]=>[7,3,2,4,8,6,1,5]=>[1,1,3,1,2]=>11100110=>3 [6,3,1,4,8,2,5,7]=>[3,6,8,5,1,7,4,2]=>[3,1,2,1,1]=>10011011=>4 [6,7,4,8,1,3,2,5]=>[3,2,5,1,8,6,7,4]=>[1,2,2,2,1]=>11010101=>6 [6,7,5,8,4,1,3,2]=>[3,2,4,1,5,8,6,7]=>[1,2,3,2]=>11010010=>5 [6,7,4,8,2,1,3,5]=>[3,2,5,1,7,8,6,4]=>[1,2,3,1,1]=>11010011=>4 [6,7,4,8,1,2,3,5]=>[3,2,5,1,8,7,6,4]=>[1,2,2,1,1,1]=>11010111=>4 [1,5,6,3,4,8,2,7]=>[8,4,3,6,5,1,7,2]=>[1,1,2,1,2,1]=>11101101=>4 [1,4,3,6,5,8,2,7]=>[8,5,6,3,4,1,7,2]=>[1,2,2,2,1]=>11010101=>6 [8,1,3,4,7,2,6,5]=>[1,8,6,5,2,7,3,4]=>[2,1,1,2,2]=>10111010=>5 [5,1,7,3,4,8,2,6]=>[4,8,2,6,5,1,7,3]=>[2,2,1,2,1]=>10101101=>6 [6,7,8,2,3,5,4,1]=>[3,2,1,7,6,4,5,8]=>[1,1,2,1,3]=>11101100=>3 [5,8,6,2,3,7,4,1]=>[4,1,3,7,6,2,5,8]=>[1,3,1,3]=>11001100=>3 [2,8,3,4,7,5,6,1]=>[7,1,6,5,2,4,3,8]=>[1,2,1,2,2]=>11011010=>5 [1,8,3,4,7,6,2,5]=>[8,1,6,5,2,3,7,4]=>[1,2,1,3,1]=>11011001=>4 [8,7,2,3,6,5,4,1]=>[1,2,7,6,3,4,5,8]=>[3,1,4]=>10011000=>3 [3,8,1,7,5,2,6,4]=>[6,1,8,2,4,7,3,5]=>[1,2,3,2]=>11010010=>5 [4,8,1,6,7,2,5,3]=>[5,1,8,3,2,7,4,6]=>[1,2,1,2,2]=>11011010=>5 [2,1,3,8,4,6,5,7]=>[7,8,6,1,5,3,4,2]=>[2,1,2,2,1]=>10110101=>6 [8,2,1,7,4,3,6,5]=>[1,7,8,2,5,6,3,4]=>[3,3,2]=>10010010=>5 [1,3,2,8,5,4,6,7]=>[8,6,7,1,4,5,3,2]=>[1,2,3,1,1]=>11010011=>4 [8,3,1,5,7,2,6,4]=>[1,6,8,4,2,7,3,5]=>[3,1,2,2]=>10011010=>5 [8,4,5,1,7,2,6,3]=>[1,5,4,8,2,7,3,6]=>[2,2,2,2]=>10101010=>7 [1,5,6,8,7,4,2,3]=>[8,4,3,1,2,5,7,6]=>[1,1,1,4,1]=>11110001=>2 [8,4,5,7,6,3,2,1]=>[1,5,4,2,3,6,7,8]=>[2,1,5]=>10110000=>3 [1,4,8,5,7,6,2,3]=>[8,5,1,4,2,3,7,6]=>[1,1,2,3,1]=>11101001=>4 [2,4,8,5,7,3,6,1]=>[7,5,1,4,2,6,3,8]=>[1,1,2,2,2]=>11101010=>5 [4,3,8,6,5,7,2,1]=>[5,6,1,3,4,2,7,8]=>[2,3,3]=>10100100=>5 [6,7,2,8,5,3,4,1]=>[3,2,7,1,4,6,5,8]=>[1,2,3,2]=>11010010=>5 [5,2,7,8,6,3,4,1]=>[4,7,2,1,3,6,5,8]=>[2,1,3,2]=>10110010=>5 [4,2,8,6,7,3,5,1]=>[5,7,1,3,2,6,4,8]=>[2,2,2,2]=>10101010=>7 [3,2,8,7,5,4,6,1]=>[6,7,1,2,4,5,3,8]=>[2,4,2]=>10100010=>5 [3,1,8,7,5,6,2,4]=>[6,8,1,2,4,3,7,5]=>[2,3,2,1]=>10100101=>6 [4,1,8,6,7,5,2,3]=>[5,8,1,3,2,4,7,6]=>[2,2,3,1]=>10101001=>6 [5,1,7,8,6,4,2,3]=>[4,8,2,1,3,5,7,6]=>[2,1,4,1]=>10110001=>4 [6,7,1,8,5,4,2,3]=>[3,2,8,1,4,5,7,6]=>[1,2,4,1]=>11010001=>4 [7,8,3,2,6,1,4,5]=>[2,1,6,7,3,8,5,4]=>[1,3,2,1,1]=>11001011=>4 [3,4,8,2,6,1,7,5]=>[6,5,1,7,3,8,2,4]=>[1,1,2,2,2]=>11101010=>5 [7,8,4,1,5,6,3,2]=>[2,1,5,8,4,3,6,7]=>[1,3,1,3]=>11001100=>3 [7,8,1,4,5,6,3,2]=>[2,1,8,5,4,3,6,7]=>[1,2,1,1,3]=>11011100=>3 [7,8,1,2,6,3,4,5]=>[2,1,8,7,3,6,5,4]=>[1,2,1,2,1,1]=>11011011=>4 [7,8,5,1,4,6,3,2]=>[2,1,4,8,5,3,6,7]=>[1,3,1,3]=>11001100=>3 [7,8,4,5,1,6,3,2]=>[2,1,5,4,8,3,6,7]=>[1,2,2,3]=>11010100=>5 [6,2,4,8,1,5,3,7]=>[3,7,5,1,8,4,6,2]=>[2,1,2,2,1]=>10110101=>6 [3,4,8,5,1,6,7,2]=>[6,5,1,4,8,3,2,7]=>[1,1,3,1,2]=>11100110=>3 [3,5,8,1,4,6,7,2]=>[6,4,1,8,5,3,2,7]=>[1,1,2,1,1,2]=>11101110=>3 [1,4,8,2,6,3,7,5]=>[8,5,1,7,3,6,2,4]=>[1,1,2,2,2]=>11101010=>5 [5,3,8,1,4,6,7,2]=>[4,6,1,8,5,3,2,7]=>[2,2,1,1,2]=>10101110=>5 [4,2,6,8,1,5,3,7]=>[5,7,3,1,8,4,6,2]=>[2,1,2,2,1]=>10110101=>6 [6,1,7,5,8,4,3,2]=>[3,8,2,4,1,5,6,7]=>[2,2,4]=>10101000=>5 [6,2,1,8,4,5,3,7]=>[3,7,8,1,5,4,6,2]=>[3,2,2,1]=>10010101=>6 [1,2,7,8,5,3,4,6]=>[8,7,2,1,4,6,5,3]=>[1,1,1,3,1,1]=>11110011=>2 [6,3,7,8,5,4,1,2]=>[3,6,2,1,4,5,8,7]=>[2,1,4,1]=>10110001=>4 [6,1,5,7,8,4,3,2]=>[3,8,4,2,1,5,6,7]=>[2,1,1,4]=>10111000=>3 [1,7,5,6,8,4,3,2]=>[8,2,4,3,1,5,6,7]=>[1,2,1,4]=>11011000=>3 [2,1,4,8,6,5,3,7]=>[7,8,5,1,3,4,6,2]=>[2,1,4,1]=>10110001=>4 [4,2,1,8,6,5,3,7]=>[5,7,8,1,3,4,6,2]=>[3,4,1]=>10010001=>4 [3,2,7,8,5,1,4,6]=>[6,7,2,1,4,8,5,3]=>[2,1,3,1,1]=>10110011=>4 [2,3,7,8,5,1,4,6]=>[7,6,2,1,4,8,5,3]=>[1,1,1,3,1,1]=>11110011=>2 [3,6,2,8,5,1,4,7]=>[6,3,7,1,4,8,5,2]=>[1,2,3,1,1]=>11010011=>4 [4,1,2,8,7,5,3,6]=>[5,8,7,1,2,4,6,3]=>[2,1,4,1]=>10110001=>4 [1,4,2,8,7,5,3,6]=>[8,5,7,1,2,4,6,3]=>[1,2,4,1]=>11010001=>4 [7,3,6,8,5,4,1,2]=>[2,6,3,1,4,5,8,7]=>[2,1,4,1]=>10110001=>4 [1,2,6,8,4,5,3,7]=>[8,7,3,1,5,4,6,2]=>[1,1,1,2,2,1]=>11110101=>4 [7,1,6,5,8,4,3,2]=>[2,8,3,4,1,5,6,7]=>[2,2,4]=>10101000=>5 [6,5,7,1,8,4,3,2]=>[3,4,2,8,1,5,6,7]=>[2,2,4]=>10101000=>5 [5,7,6,1,8,4,3,2]=>[4,2,3,8,1,5,6,7]=>[1,3,4]=>11001000=>3 [6,7,1,5,8,4,3,2]=>[3,2,8,4,1,5,6,7]=>[1,2,1,4]=>11011000=>3 [6,7,3,8,5,4,1,2]=>[3,2,6,1,4,5,8,7]=>[1,2,4,1]=>11010001=>4 [7,1,2,8,4,5,3,6]=>[2,8,7,1,5,4,6,3]=>[2,1,2,2,1]=>10110101=>6 [7,6,1,5,8,4,3,2]=>[2,3,8,4,1,5,6,7]=>[3,1,4]=>10011000=>3 [7,5,6,1,8,4,3,2]=>[2,4,3,8,1,5,6,7]=>[2,2,4]=>10101000=>5 [7,1,6,5,3,2,4,8]=>[2,8,3,4,6,7,5,1]=>[2,4,1,1]=>10100011=>4 [1,8,7,5,3,2,4,6]=>[8,1,2,4,6,7,5,3]=>[1,5,1,1]=>11000011=>2 [1,8,7,4,2,5,3,6]=>[8,1,2,5,7,4,6,3]=>[1,4,2,1]=>11000101=>4 [8,7,4,2,5,3,6,1]=>[1,2,5,7,4,6,3,8]=>[4,2,2]=>10001010=>5 [7,1,6,4,2,5,3,8]=>[2,8,3,5,7,4,6,1]=>[2,3,2,1]=>10100101=>6 [2,6,5,4,7,1,3,8]=>[7,3,4,5,2,8,6,1]=>[1,3,2,1,1]=>11001011=>4 [7,1,5,3,6,4,2,8]=>[2,8,4,6,3,5,7,1]=>[2,2,3,1]=>10101001=>6 [5,3,7,1,6,4,2,8]=>[4,6,2,8,3,5,7,1]=>[2,2,3,1]=>10101001=>6 [5,3,6,4,2,7,1,8]=>[4,6,3,5,7,2,8,1]=>[2,3,2,1]=>10100101=>6 [1,5,3,8,7,4,2,6]=>[8,4,6,1,2,5,7,3]=>[1,2,4,1]=>11010001=>4 [7,4,2,8,6,3,5,1]=>[2,5,7,1,3,6,4,8]=>[3,3,2]=>10010010=>5 [5,3,6,1,8,7,4,2]=>[4,6,3,8,1,2,5,7]=>[2,2,4]=>10101000=>5 [6,1,5,3,8,7,4,2]=>[3,8,4,6,1,2,5,7]=>[2,2,4]=>10101000=>5 [2,8,7,5,4,6,1,3]=>[7,1,2,4,5,3,8,6]=>[1,4,2,1]=>11000101=>4 [2,3,1,8,7,5,4,6]=>[7,6,8,1,2,4,5,3]=>[1,2,4,1]=>11010001=>4 [5,3,8,7,4,2,1,6]=>[4,6,1,2,5,7,8,3]=>[2,5,1]=>10100001=>4 [7,4,2,1,8,6,3,5]=>[2,5,7,8,1,3,6,4]=>[4,3,1]=>10001001=>4 [8,6,3,5,7,4,2,1]=>[1,3,6,4,2,5,7,8]=>[3,1,4]=>10011000=>3 [1,8,6,3,5,7,4,2]=>[8,1,3,6,4,2,5,7]=>[1,3,1,3]=>11001100=>3 [6,3,8,5,2,1,7,4]=>[3,6,1,4,7,8,2,5]=>[2,4,2]=>10100010=>5 [8,6,3,7,4,2,1,5]=>[1,3,6,2,5,7,8,4]=>[3,4,1]=>10010001=>4 [2,8,6,4,7,5,1,3]=>[7,1,3,5,2,4,8,6]=>[1,3,3,1]=>11001001=>4 [5,1,8,6,3,7,4,2]=>[4,8,1,3,6,2,5,7]=>[2,3,3]=>10100100=>5 [6,3,7,4,1,8,5,2]=>[3,6,2,5,8,1,4,7]=>[2,3,3]=>10100100=>5 [8,5,2,6,3,7,4,1]=>[1,4,7,3,6,2,5,8]=>[3,2,3]=>10010100=>5 [6,1,8,7,4,2,5,3]=>[3,8,1,2,5,7,4,6]=>[2,4,2]=>10100010=>5 [8,6,3,7,4,2,5,1]=>[1,3,6,2,5,7,4,8]=>[3,3,2]=>10010010=>5 [1,8,6,3,2,4,7,5]=>[8,1,3,6,7,5,2,4]=>[1,4,1,2]=>11000110=>3 [8,6,3,2,4,7,5,1]=>[1,3,6,7,5,2,4,8]=>[4,1,3]=>10001100=>3 [7,5,1,8,6,3,2,4]=>[2,4,8,1,3,6,7,5]=>[3,4,1]=>10010001=>4 [6,1,8,7,5,3,2,4]=>[3,8,1,2,4,6,7,5]=>[2,5,1]=>10100001=>4 [4,3,2,8,7,6,1,5]=>[5,6,7,1,2,3,8,4]=>[3,4,1]=>10010001=>4 [2,4,5,1,3,8,7,6]=>[7,5,4,8,6,1,2,3]=>[1,1,2,1,3]=>11101100=>3 [7,5,8,6,3,2,4,1]=>[2,4,1,3,6,7,5,8]=>[2,4,2]=>10100010=>5 [1,7,5,8,6,3,2,4]=>[8,2,4,1,3,6,7,5]=>[1,2,4,1]=>11010001=>4 [1,7,4,2,5,8,6,3]=>[8,2,5,7,4,1,3,6]=>[1,3,1,3]=>11001100=>3 [8,6,3,1,7,4,2,5]=>[1,3,6,8,2,5,7,4]=>[4,3,1]=>10001001=>4 [8,7,4,2,5,3,1,6]=>[1,2,5,7,4,6,8,3]=>[4,3,1]=>10001001=>4 [5,3,1,8,7,4,2,6]=>[4,6,8,1,2,5,7,3]=>[3,4,1]=>10010001=>4 [4,1,8,7,5,3,2,6]=>[5,8,1,2,4,6,7,3]=>[2,5,1]=>10100001=>4 [2,8,6,4,1,3,7,5]=>[7,1,3,5,8,6,2,4]=>[1,4,1,2]=>11000110=>3 [4,1,8,6,3,2,7,5]=>[5,8,1,3,6,7,2,4]=>[2,4,2]=>10100010=>5 [7,4,2,8,6,3,1,5]=>[2,5,7,1,3,6,8,4]=>[3,4,1]=>10010001=>4 [6,3,1,8,5,2,7,4]=>[3,6,8,1,4,7,2,5]=>[3,3,2]=>10010010=>5 [8,5,2,6,3,1,7,4]=>[1,4,7,3,6,8,2,5]=>[3,3,2]=>10010010=>5 [7,4,8,5,2,6,3,1]=>[2,5,1,4,7,3,6,8]=>[2,3,3]=>10100100=>5 [1,8,5,2,7,4,6,3]=>[8,1,4,7,2,5,3,6]=>[1,3,2,2]=>11001010=>5 [8,5,2,7,4,6,3,1]=>[1,4,7,2,5,3,6,8]=>[3,2,3]=>10010100=>5 [7,4,6,3,1,8,5,2]=>[2,5,3,6,8,1,4,7]=>[2,3,3]=>10100100=>5 [6,3,1,7,4,8,5,2]=>[3,6,8,2,5,1,4,7]=>[3,2,3]=>10010100=>5 [8,6,3,1,5,7,4,2]=>[1,3,6,8,4,2,5,7]=>[4,1,3]=>10001100=>3 [4,1,7,5,8,6,3,2]=>[5,8,2,4,1,3,6,7]=>[2,2,4]=>10101000=>5 [2,3,1,7,5,8,6,4]=>[7,6,8,2,4,1,3,5]=>[1,2,2,3]=>11010100=>5 [7,4,8,5,2,1,6,3]=>[2,5,1,4,7,8,3,6]=>[2,4,2]=>10100010=>5 [8,5,2,1,7,4,6,3]=>[1,4,7,8,2,5,3,6]=>[4,2,2]=>10001010=>5 [1,7,4,6,3,8,5,2]=>[8,2,5,3,6,1,4,7]=>[1,2,2,3]=>11010100=>5 [3,6,5,2,1,4,8,7]=>[6,3,4,7,8,5,1,2]=>[1,4,1,2]=>11000110=>3 [3,5,6,2,1,4,8,7]=>[6,4,3,7,8,5,1,2]=>[1,1,3,1,2]=>11100110=>3 [3,5,7,8,1,4,2,6]=>[6,4,2,1,8,5,7,3]=>[1,1,1,2,2,1]=>11110101=>4 [4,1,8,5,7,3,2,6]=>[5,8,1,4,2,6,7,3]=>[2,2,3,1]=>10101001=>6 [4,1,7,5,8,3,2,6]=>[5,8,2,4,1,6,7,3]=>[2,2,3,1]=>10101001=>6 [2,1,5,8,7,4,3,6]=>[7,8,4,1,2,5,6,3]=>[2,1,4,1]=>10110001=>4 [2,1,5,7,8,4,3,6]=>[7,8,4,2,1,5,6,3]=>[2,1,1,3,1]=>10111001=>4 [5,1,7,4,8,3,2,6]=>[4,8,2,5,1,6,7,3]=>[2,2,3,1]=>10101001=>6 [4,7,2,8,3,6,1,5]=>[5,2,7,1,6,3,8,4]=>[1,2,2,2,1]=>11010101=>6 [4,6,2,7,3,1,8,5]=>[5,3,7,2,6,8,1,4]=>[1,2,3,2]=>11010010=>5 [3,7,8,2,4,1,6,5]=>[6,2,1,7,5,8,3,4]=>[1,1,2,2,2]=>11101010=>5 [3,8,7,2,4,1,6,5]=>[6,1,2,7,5,8,3,4]=>[1,3,2,2]=>11001010=>5 [3,8,6,2,4,1,7,5]=>[6,1,3,7,5,8,2,4]=>[1,3,2,2]=>11001010=>5 [6,2,8,4,1,7,3,5]=>[3,7,1,5,8,2,6,4]=>[2,3,2,1]=>10100101=>6 [7,3,4,8,1,6,2,5]=>[2,6,5,1,8,3,7,4]=>[2,1,2,2,1]=>10110101=>6 [6,3,4,8,1,7,2,5]=>[3,6,5,1,8,2,7,4]=>[2,1,2,2,1]=>10110101=>6 [5,3,4,8,1,2,7,6]=>[4,6,5,1,8,7,2,3]=>[2,1,2,1,2]=>10110110=>5 [4,3,5,8,1,2,7,6]=>[5,6,4,1,8,7,2,3]=>[2,1,2,1,2]=>10110110=>5 [1,8,5,4,2,3,7,6]=>[8,1,4,5,7,6,2,3]=>[1,4,1,2]=>11000110=>3 [3,5,4,8,1,2,7,6]=>[6,4,5,1,8,7,2,3]=>[1,2,2,1,2]=>11010110=>5 [4,5,3,8,1,2,7,6]=>[5,4,6,1,8,7,2,3]=>[1,2,2,1,2]=>11010110=>5 [6,4,3,8,1,7,2,5]=>[3,5,6,1,8,2,7,4]=>[3,2,2,1]=>10010101=>6 [7,4,3,8,1,6,2,5]=>[2,5,6,1,8,3,7,4]=>[3,2,2,1]=>10010101=>6 [6,5,3,8,7,1,2,4]=>[3,4,6,1,2,8,7,5]=>[3,3,1,1]=>10010011=>4 [5,6,3,8,7,1,2,4]=>[4,3,6,1,2,8,7,5]=>[1,2,3,1,1]=>11010011=>4 [4,6,3,8,1,7,2,5]=>[5,3,6,1,8,2,7,4]=>[1,2,2,2,1]=>11010101=>6 [2,6,8,4,1,7,3,5]=>[7,3,1,5,8,2,6,4]=>[1,1,3,2,1]=>11100101=>4 [1,8,7,4,2,6,3,5]=>[8,1,2,5,7,3,6,4]=>[1,4,2,1]=>11000101=>4 [5,7,3,8,6,1,2,4]=>[4,2,6,1,3,8,7,5]=>[1,2,3,1,1]=>11010011=>4 [3,7,5,8,6,1,2,4]=>[6,2,4,1,3,8,7,5]=>[1,2,3,1,1]=>11010011=>4 [2,7,8,5,6,1,3,4]=>[7,2,1,4,3,8,6,5]=>[1,1,2,2,1,1]=>11101011=>4 [1,8,7,5,6,2,3,4]=>[8,1,2,4,3,7,6,5]=>[1,3,2,1,1]=>11001011=>4 [2,6,8,5,7,1,3,4]=>[7,3,1,4,2,8,6,5]=>[1,1,2,2,1,1]=>11101011=>4 [5,3,6,8,7,1,2,4]=>[4,6,3,1,2,8,7,5]=>[2,1,3,1,1]=>10110011=>4 [6,3,5,8,7,1,2,4]=>[3,6,4,1,2,8,7,5]=>[2,1,3,1,1]=>10110011=>4 [7,2,8,5,6,1,3,4]=>[2,7,1,4,3,8,6,5]=>[2,2,2,1,1]=>10101011=>6 [5,2,8,6,7,1,3,4]=>[4,7,1,3,2,8,6,5]=>[2,2,2,1,1]=>10101011=>6 [1,8,3,2,7,6,4,5]=>[8,1,6,7,2,3,5,4]=>[1,3,3,1]=>11001001=>4 [5,2,8,7,6,1,3,4]=>[4,7,1,2,3,8,6,5]=>[2,4,1,1]=>10100011=>4 [6,2,8,7,5,1,3,4]=>[3,7,1,2,4,8,6,5]=>[2,4,1,1]=>10100011=>4 [3,4,7,8,1,6,2,5]=>[6,5,2,1,8,3,7,4]=>[1,1,1,2,2,1]=>11110101=>4 [1,8,5,7,6,2,3,4]=>[8,1,4,2,3,7,6,5]=>[1,2,3,1,1]=>11010011=>4 [2,5,8,7,6,1,3,4]=>[7,4,1,2,3,8,6,5]=>[1,1,4,1,1]=>11100011=>2 [7,4,6,5,8,1,2,3]=>[2,5,3,4,1,8,7,6]=>[2,2,2,1,1]=>10101011=>6 [3,6,7,8,5,1,2,4]=>[6,3,2,1,4,8,7,5]=>[1,1,1,3,1,1]=>11110011=>2 [2,6,8,7,5,1,3,4]=>[7,3,1,2,4,8,6,5]=>[1,1,4,1,1]=>11100011=>2 [1,8,6,7,5,2,3,4]=>[8,1,3,2,4,7,6,5]=>[1,2,3,1,1]=>11010011=>4 [2,7,8,6,5,1,3,4]=>[7,2,1,3,4,8,6,5]=>[1,1,4,1,1]=>11100011=>2 [5,7,6,4,8,1,2,3]=>[4,2,3,5,1,8,7,6]=>[1,3,2,1,1]=>11001011=>4 [6,3,8,7,5,1,2,4]=>[3,6,1,2,4,8,7,5]=>[2,4,1,1]=>10100011=>4 [2,8,7,4,1,3,5,6]=>[7,1,2,5,8,6,4,3]=>[1,4,1,1,1]=>11000111=>2 [5,4,8,7,1,3,2,6]=>[4,5,1,2,8,6,7,3]=>[2,3,2,1]=>10100101=>6 [4,8,6,1,3,2,5,7]=>[5,1,3,8,6,7,4,2]=>[1,3,2,1,1]=>11001011=>4 [5,4,2,7,6,8,1,3]=>[4,5,7,2,3,1,8,6]=>[3,2,2,1]=>10010101=>6 [2,8,7,1,4,5,3,6]=>[7,1,2,8,5,4,6,3]=>[1,3,1,2,1]=>11001101=>4 [4,2,1,8,7,3,5,6]=>[5,7,8,1,2,6,4,3]=>[3,3,1,1]=>10010011=>4 [5,1,6,3,2,8,7,4]=>[4,8,3,6,7,1,2,5]=>[2,3,3]=>10100100=>5 [4,6,1,8,7,3,2,5]=>[5,3,8,1,2,6,7,4]=>[1,2,4,1]=>11010001=>4 [8,7,2,3,5,4,1,6]=>[1,2,7,6,4,5,8,3]=>[3,1,3,1]=>10011001=>4 [5,3,1,4,8,7,2,6]=>[4,6,8,5,1,2,7,3]=>[3,1,3,1]=>10011001=>4 [4,3,5,2,8,7,1,6]=>[5,6,4,7,1,2,8,3]=>[2,2,3,1]=>10101001=>6 [3,4,2,8,6,1,5,7]=>[6,5,7,1,3,8,4,2]=>[1,2,3,1,1]=>11010011=>4 [3,7,6,8,1,5,2,4]=>[6,2,3,1,8,4,7,5]=>[1,2,2,2,1]=>11010101=>6 [8,1,4,2,3,6,7,5]=>[1,8,5,7,6,3,2,4]=>[2,2,1,1,2]=>10101110=>5 [3,7,2,1,8,6,4,5]=>[6,2,7,8,1,3,5,4]=>[1,3,3,1]=>11001001=>4 [2,8,6,1,7,3,5,4]=>[7,1,3,8,2,6,4,5]=>[1,3,2,2]=>11001010=>5 [1,7,6,3,5,8,2,4]=>[8,2,3,6,4,1,7,5]=>[1,3,1,2,1]=>11001101=>4 [3,7,5,1,6,8,2,4]=>[6,2,4,8,3,1,7,5]=>[1,3,1,2,1]=>11001101=>4 [3,6,5,8,1,4,7,2]=>[6,3,4,1,8,5,2,7]=>[1,2,2,1,2]=>11010110=>5 [8,1,5,6,4,7,2,3]=>[1,8,4,3,5,2,7,6]=>[2,1,2,2,1]=>10110101=>6 [3,6,7,4,1,8,2,5]=>[6,3,2,5,8,1,7,4]=>[1,1,3,2,1]=>11100101=>4 [1,7,4,6,8,2,5,3]=>[8,2,5,3,1,7,4,6]=>[1,2,1,2,2]=>11011010=>5 [7,5,8,2,6,3,1,4]=>[2,4,1,7,3,6,8,5]=>[2,2,3,1]=>10101001=>6 [2,7,1,6,5,4,8,3]=>[7,2,8,3,4,5,1,6]=>[1,2,3,2]=>11010010=>5 [7,3,2,6,1,8,5,4]=>[2,6,7,3,8,1,4,5]=>[3,2,3]=>10010100=>5 [6,4,7,2,3,1,8,5]=>[3,5,2,7,6,8,1,4]=>[2,2,2,2]=>10101010=>7 [5,3,1,8,4,6,2,7]=>[4,6,8,1,5,3,7,2]=>[3,2,2,1]=>10010101=>6 [3,8,1,6,7,4,2,5]=>[6,1,8,3,2,5,7,4]=>[1,2,1,3,1]=>11011001=>4 [2,7,4,3,6,8,1,5]=>[7,2,5,6,3,1,8,4]=>[1,3,1,2,1]=>11001101=>4 [2,8,4,6,1,5,3,7]=>[7,1,5,3,8,4,6,2]=>[1,2,2,2,1]=>11010101=>6 [8,4,1,6,3,2,5,7]=>[1,5,8,3,6,7,4,2]=>[3,3,1,1]=>10010011=>4 [4,7,3,8,5,2,1,6]=>[5,2,6,1,4,7,8,3]=>[1,2,4,1]=>11010001=>4 [3,1,7,4,8,5,2,6]=>[6,8,2,5,1,4,7,3]=>[2,2,3,1]=>10101001=>6 [7,4,1,6,3,2,8,5]=>[2,5,8,3,6,7,1,4]=>[3,3,2]=>10010010=>5 [3,8,6,2,7,4,1,5]=>[6,1,3,7,2,5,8,4]=>[1,3,3,1]=>11001001=>4 [7,3,1,4,5,2,8,6]=>[2,6,8,5,4,7,1,3]=>[3,1,2,2]=>10011010=>5 [6,1,4,8,5,3,2,7]=>[3,8,5,1,4,6,7,2]=>[2,1,4,1]=>10110001=>4 [8,1,2,4,6,7,5,3]=>[1,8,7,5,3,2,4,6]=>[2,1,1,1,3]=>10111100=>3 [8,1,3,6,7,5,4,2]=>[1,8,6,3,2,4,5,7]=>[2,1,1,4]=>10111000=>3 [7,5,2,3,8,6,1,4]=>[2,4,7,6,1,3,8,5]=>[3,1,3,1]=>10011001=>4 [8,6,2,4,1,3,7,5]=>[1,3,7,5,8,6,2,4]=>[3,2,1,2]=>10010110=>5 [4,7,5,1,8,6,3,2]=>[5,2,4,8,1,3,6,7]=>[1,3,4]=>11001000=>3 [4,7,3,2,8,5,6,1]=>[5,2,6,7,1,4,3,8]=>[1,3,2,2]=>11001010=>5 [8,4,5,7,6,1,3,2]=>[1,5,4,2,3,8,6,7]=>[2,1,3,2]=>10110010=>5 [7,5,8,4,2,3,6,1]=>[2,4,1,5,7,6,3,8]=>[2,3,1,2]=>10100110=>5 [3,8,4,6,1,7,5,2]=>[6,1,5,3,8,2,4,7]=>[1,2,2,3]=>11010100=>5 [3,7,4,6,5,2,8,1]=>[6,2,5,3,4,7,1,8]=>[1,2,3,2]=>11010010=>5 [4,2,7,6,1,5,8,3]=>[5,7,2,3,8,4,1,6]=>[2,3,1,2]=>10100110=>5 [8,3,1,4,5,7,6,2]=>[1,6,8,5,4,2,3,7]=>[3,1,1,3]=>10011100=>3 [3,5,1,6,8,4,7,2]=>[6,4,8,3,1,5,2,7]=>[1,2,1,2,2]=>11011010=>5 [6,1,5,7,3,8,4,2]=>[3,8,4,2,6,1,5,7]=>[2,1,2,3]=>10110100=>5 [5,8,4,7,3,2,6,1]=>[4,1,5,2,6,7,3,8]=>[1,2,3,2]=>11010010=>5 [7,2,6,5,8,4,1,3]=>[2,7,3,4,1,5,8,6]=>[2,2,3,1]=>10101001=>6 [8,3,2,5,1,6,7,4]=>[1,6,7,4,8,3,2,5]=>[3,2,1,2]=>10010110=>5 [2,6,8,3,7,4,1,5]=>[7,3,1,6,2,5,8,4]=>[1,1,2,3,1]=>11101001=>4 [8,1,5,6,4,7,3,2]=>[1,8,4,3,5,2,6,7]=>[2,1,2,3]=>10110100=>5 [2,5,8,1,6,4,7,3]=>[7,4,1,8,3,5,2,6]=>[1,1,2,2,2]=>11101010=>5 [7,4,1,8,3,2,6,5]=>[2,5,8,1,6,7,3,4]=>[3,3,2]=>10010010=>5 [8,3,7,4,2,1,6,5]=>[1,6,2,5,7,8,3,4]=>[2,4,2]=>10100010=>5 [5,2,6,8,3,1,7,4]=>[4,7,3,1,6,8,2,5]=>[2,1,3,2]=>10110010=>5 [3,6,5,8,4,1,7,2]=>[6,3,4,1,5,8,2,7]=>[1,2,3,2]=>11010010=>5 [7,3,6,1,8,4,5,2]=>[2,6,3,8,1,5,4,7]=>[2,2,2,2]=>10101010=>7 [8,2,7,3,4,6,5,1]=>[1,7,2,6,5,3,4,8]=>[2,2,1,3]=>10101100=>5 [7,3,8,2,5,6,4,1]=>[2,6,1,7,4,3,5,8]=>[2,2,1,3]=>10101100=>5 [5,7,3,1,6,4,8,2]=>[4,2,6,8,3,5,1,7]=>[1,3,2,2]=>11001010=>5 [6,1,3,2,4,8,7,5]=>[3,8,6,7,5,1,2,4]=>[2,2,1,3]=>10101100=>5 [8,7,4,2,3,6,1,5]=>[1,2,5,7,6,3,8,4]=>[4,1,2,1]=>10001101=>4 [8,7,1,5,4,2,3,6]=>[1,2,8,4,5,7,6,3]=>[3,3,1,1]=>10010011=>4 [3,7,1,5,2,8,6,4]=>[6,2,8,4,7,1,3,5]=>[1,2,2,3]=>11010100=>5 [8,7,2,5,4,1,3,6]=>[1,2,7,4,5,8,6,3]=>[3,3,1,1]=>10010011=>4 [8,7,2,5,3,1,4,6]=>[1,2,7,4,6,8,5,3]=>[3,3,1,1]=>10010011=>4 [5,2,8,7,1,4,3,6]=>[4,7,1,2,8,5,6,3]=>[2,3,2,1]=>10100101=>6 [7,1,8,6,2,4,3,5]=>[2,8,1,3,7,5,6,4]=>[2,3,2,1]=>10100101=>6 [8,1,6,2,7,5,3,4]=>[1,8,3,7,2,4,6,5]=>[2,2,3,1]=>10101001=>6 [7,1,6,2,8,5,3,4]=>[2,8,3,7,1,4,6,5]=>[2,2,3,1]=>10101001=>6 [6,3,4,1,7,2,8,5]=>[3,6,5,8,2,7,1,4]=>[2,2,2,2]=>10101010=>7 [7,2,4,3,5,1,8,6]=>[2,7,5,6,4,8,1,3]=>[2,2,2,2]=>10101010=>7 [5,1,7,2,3,8,6,4]=>[4,8,2,7,6,1,3,5]=>[2,2,1,3]=>10101100=>5 [8,2,3,5,1,7,6,4]=>[1,7,6,4,8,2,3,5]=>[2,1,2,3]=>10110100=>5 [7,6,3,1,4,8,2,5]=>[2,3,6,8,5,1,7,4]=>[4,1,2,1]=>10001101=>4 [6,1,8,2,7,5,3,4]=>[3,8,1,7,2,4,6,5]=>[2,2,3,1]=>10101001=>6 [7,2,8,1,6,5,3,4]=>[2,7,1,8,3,4,6,5]=>[2,2,3,1]=>10101001=>6 [7,2,6,4,3,8,1,5]=>[2,7,3,5,6,1,8,4]=>[2,3,2,1]=>10100101=>6 [5,1,7,4,3,8,2,6]=>[4,8,2,5,6,1,7,3]=>[2,3,2,1]=>10100101=>6 [5,3,1,7,4,8,2,6]=>[4,6,8,2,5,1,7,3]=>[3,2,2,1]=>10010101=>6 [7,4,8,2,1,5,3,6]=>[2,5,1,7,8,4,6,3]=>[2,3,2,1]=>10100101=>6 [8,2,4,1,6,3,7,5]=>[1,7,5,8,3,6,2,4]=>[2,2,2,2]=>10101010=>7 [8,2,7,5,1,6,4,3]=>[1,7,2,4,8,3,5,6]=>[2,3,3]=>10100100=>5 [6,1,7,3,2,8,5,4]=>[3,8,2,6,7,1,4,5]=>[2,3,3]=>10100100=>5 [4,7,2,1,6,3,8,5]=>[5,2,7,8,3,6,1,4]=>[1,3,2,2]=>11001010=>5 [6,2,1,5,3,8,4,7]=>[3,7,8,4,6,1,5,2]=>[3,2,2,1]=>10010101=>6 [5,3,1,6,2,8,4,7]=>[4,6,8,3,7,1,5,2]=>[3,2,2,1]=>10010101=>6 [6,1,5,2,8,4,3,7]=>[3,8,4,7,1,5,6,2]=>[2,2,3,1]=>10101001=>6 [7,4,3,8,1,5,2,6]=>[2,5,6,1,8,4,7,3]=>[3,2,2,1]=>10010101=>6 [7,4,8,1,5,3,2,6]=>[2,5,1,8,4,6,7,3]=>[2,2,3,1]=>10101001=>6 [6,1,5,3,2,8,4,7]=>[3,8,4,6,7,1,5,2]=>[2,3,2,1]=>10100101=>6 [6,3,2,8,4,1,5,7]=>[3,6,7,1,5,8,4,2]=>[3,3,1,1]=>10010011=>4 [7,3,4,2,8,5,1,6]=>[2,6,5,7,1,4,8,3]=>[2,2,3,1]=>10101001=>6 [7,1,6,3,4,2,8,5]=>[2,8,3,6,5,7,1,4]=>[2,2,2,2]=>10101010=>7 [8,5,1,3,7,4,2,6]=>[1,4,8,6,2,5,7,3]=>[3,1,3,1]=>10011001=>4 [3,8,6,1,5,2,7,4]=>[6,1,3,8,4,7,2,5]=>[1,3,2,2]=>11001010=>5 [8,6,1,3,7,5,2,4]=>[1,3,8,6,2,4,7,5]=>[3,1,3,1]=>10011001=>4 [4,8,5,6,1,7,3,2]=>[5,1,4,3,8,2,6,7]=>[1,2,2,3]=>11010100=>5 [6,7,1,3,8,5,2,4]=>[3,2,8,6,1,4,7,5]=>[1,2,1,3,1]=>11011001=>4 [3,6,7,1,5,2,8,4]=>[6,3,2,8,4,7,1,5]=>[1,1,2,2,2]=>11101010=>5 [7,1,3,8,4,2,6,5]=>[2,8,6,1,5,7,3,4]=>[2,1,3,2]=>10110010=>5 [5,6,2,7,1,3,8,4]=>[4,3,7,2,8,6,1,5]=>[1,2,2,1,2]=>11010110=>5 [5,6,2,8,1,3,7,4]=>[4,3,7,1,8,6,2,5]=>[1,2,2,1,2]=>11010110=>5 [6,1,8,3,7,5,2,4]=>[3,8,1,6,2,4,7,5]=>[2,2,3,1]=>10101001=>6 [7,4,2,1,5,8,3,6]=>[2,5,7,8,4,1,6,3]=>[4,1,2,1]=>10001101=>4 [7,4,1,5,8,3,2,6]=>[2,5,8,4,1,6,7,3]=>[3,1,3,1]=>10011001=>4 [7,3,2,6,4,8,1,5]=>[2,6,7,3,5,1,8,4]=>[3,2,2,1]=>10010101=>6 [6,4,2,7,3,8,1,5]=>[3,5,7,2,6,1,8,4]=>[3,2,2,1]=>10010101=>6 [5,1,8,3,7,4,2,6]=>[4,8,1,6,2,5,7,3]=>[2,2,3,1]=>10101001=>6 [7,4,8,3,1,5,2,6]=>[2,5,1,6,8,4,7,3]=>[2,3,2,1]=>10100101=>6 [5,2,1,7,4,8,3,6]=>[4,7,8,2,5,1,6,3]=>[3,2,2,1]=>10010101=>6 [6,1,8,4,5,2,7,3]=>[3,8,1,5,4,7,2,6]=>[2,2,2,2]=>10101010=>7 [7,1,6,4,5,2,8,3]=>[2,8,3,5,4,7,1,6]=>[2,2,2,2]=>10101010=>7 [3,5,2,7,1,6,8,4]=>[6,4,7,2,8,3,1,5]=>[1,2,2,1,2]=>11010110=>5 [4,5,7,3,1,6,8,2]=>[5,4,2,6,8,3,1,7]=>[1,1,3,1,2]=>11100110=>3 [4,5,7,2,8,6,1,3]=>[5,4,2,7,1,3,8,6]=>[1,1,2,3,1]=>11101001=>4 [3,5,1,7,2,6,8,4]=>[6,4,8,2,7,3,1,5]=>[1,2,2,1,2]=>11010110=>5 [4,5,7,2,8,1,3,6]=>[5,4,2,7,1,8,6,3]=>[1,1,2,2,1,1]=>11101011=>4 [4,6,7,2,1,5,8,3]=>[5,3,2,7,8,4,1,6]=>[1,1,3,1,2]=>11100110=>3 [4,6,7,1,3,8,5,2]=>[5,3,2,8,6,1,4,7]=>[1,1,2,1,3]=>11101100=>3 [3,6,1,5,7,8,4,2]=>[6,3,8,4,2,1,5,7]=>[1,2,1,1,3]=>11011100=>3 [4,6,7,1,5,8,3,2]=>[5,3,2,8,4,1,6,7]=>[1,1,2,1,3]=>11101100=>3 [6,1,3,7,4,8,5,2]=>[3,8,6,2,5,1,4,7]=>[2,1,2,3]=>10110100=>5 [3,2,1,7,4,8,5,6]=>[6,7,8,2,5,1,4,3]=>[3,2,2,1]=>10010101=>6 [4,1,5,2,7,6,3,8]=>[5,8,4,7,2,3,6,1]=>[2,2,3,1]=>10101001=>6 [2,5,1,3,7,6,4,8]=>[7,4,8,6,2,3,5,1]=>[1,2,1,3,1]=>11011001=>4 [2,5,1,4,3,8,6,7]=>[7,4,8,5,6,1,3,2]=>[1,2,2,2,1]=>11010101=>6 [3,7,2,1,5,8,6,4]=>[6,2,7,8,4,1,3,5]=>[1,3,1,3]=>11001100=>3 [6,2,7,1,4,8,5,3]=>[3,7,2,8,5,1,4,6]=>[2,2,1,3]=>10101100=>5 [3,7,4,2,1,8,5,6]=>[6,2,5,7,8,1,4,3]=>[1,4,2,1]=>11000101=>4 [7,2,5,3,1,8,6,4]=>[2,7,4,6,8,1,3,5]=>[2,3,3]=>10100100=>5 [7,5,1,4,2,8,6,3]=>[2,4,8,5,7,1,3,6]=>[3,2,3]=>10010100=>5 [7,5,4,1,3,8,6,2]=>[2,4,5,8,6,1,3,7]=>[4,1,3]=>10001100=>3 [5,3,2,1,7,6,4,8]=>[4,6,7,8,2,3,5,1]=>[4,3,1]=>10001001=>4 [6,3,2,8,1,5,7,4]=>[3,6,7,1,8,4,2,5]=>[3,2,1,2]=>10010110=>5 [7,4,3,2,8,1,6,5]=>[2,5,6,7,1,8,3,4]=>[4,2,2]=>10001010=>5 [7,6,2,4,8,3,5,1]=>[2,3,7,5,1,6,4,8]=>[3,1,2,2]=>10011010=>5 [7,3,6,4,8,1,5,2]=>[2,6,3,5,1,8,4,7]=>[2,2,2,2]=>10101010=>7 [2,7,5,3,8,1,4,6]=>[7,2,4,6,1,8,5,3]=>[1,3,2,1,1]=>11001011=>4 [1,8,5,3,6,4,2,7]=>[8,1,4,6,3,5,7,2]=>[1,3,3,1]=>11001001=>4 [8,6,2,3,7,5,4,1]=>[1,3,7,6,2,4,5,8]=>[3,1,4]=>10011000=>3 [8,6,3,2,7,5,4,1]=>[1,3,6,7,2,4,5,8]=>[4,4]=>10001000=>3 [8,3,2,7,1,6,4,5]=>[1,6,7,2,8,3,5,4]=>[3,2,2,1]=>10010101=>6 [7,2,6,1,5,4,3,8]=>[2,7,3,8,4,5,6,1]=>[2,2,3,1]=>10101001=>6 [8,5,7,4,3,6,2,1]=>[1,4,2,5,6,3,7,8]=>[2,3,3]=>10100100=>5 [8,5,7,2,4,6,3,1]=>[1,4,2,7,5,3,6,8]=>[2,2,1,3]=>10101100=>5 [8,4,6,7,1,3,2,5]=>[1,5,3,2,8,6,7,4]=>[2,1,2,2,1]=>10110101=>6 [2,8,5,6,1,4,3,7]=>[7,1,4,3,8,5,6,2]=>[1,2,2,2,1]=>11010101=>6 [7,2,6,8,4,1,5,3]=>[2,7,3,1,5,8,4,6]=>[2,1,3,2]=>10110010=>5 [7,6,4,8,3,2,5,1]=>[2,3,5,1,6,7,4,8]=>[3,3,2]=>10010010=>5 [6,5,8,1,4,2,7,3]=>[3,4,1,8,5,7,2,6]=>[2,2,2,2]=>10101010=>7 [6,5,8,4,1,3,7,2]=>[3,4,1,5,8,6,2,7]=>[2,3,1,2]=>10100110=>5 [5,4,8,3,2,1,7,6]=>[4,5,1,6,7,8,2,3]=>[2,4,2]=>10100010=>5 [4,3,7,2,1,6,5,8]=>[5,6,2,7,8,3,4,1]=>[2,3,2,1]=>10100101=>6 [2,5,8,1,4,3,7,6]=>[7,4,1,8,5,6,2,3]=>[1,1,2,2,2]=>11101010=>5 [3,6,8,2,1,5,7,4]=>[6,3,1,7,8,4,2,5]=>[1,1,3,1,2]=>11100110=>3 [5,7,4,8,1,3,6,2]=>[4,2,5,1,8,6,3,7]=>[1,2,2,1,2]=>11010110=>5 [5,7,1,4,8,2,6,3]=>[4,2,8,5,1,7,3,6]=>[1,2,1,2,2]=>11011010=>5 [2,7,4,1,8,3,6,5]=>[7,2,5,8,1,6,3,4]=>[1,3,2,2]=>11001010=>5 [3,5,1,8,4,2,7,6]=>[6,4,8,1,5,7,2,3]=>[1,2,3,2]=>11010010=>5 [4,1,5,7,3,6,2,8]=>[5,8,4,2,6,3,7,1]=>[2,1,2,2,1]=>10110101=>6 [4,2,5,8,3,1,7,6]=>[5,7,4,1,6,8,2,3]=>[2,1,3,2]=>10110010=>5 [6,1,2,7,8,3,5,4]=>[3,8,7,2,1,6,4,5]=>[2,1,1,2,2]=>10111010=>5 [5,3,1,8,6,4,2,7]=>[4,6,8,1,3,5,7,2]=>[3,4,1]=>10010001=>4 [3,1,8,4,7,5,2,6]=>[6,8,1,5,2,4,7,3]=>[2,2,3,1]=>10101001=>6 [4,2,8,7,3,5,1,6]=>[5,7,1,2,6,4,8,3]=>[2,3,2,1]=>10100101=>6 [4,8,1,7,6,2,3,5]=>[5,1,8,2,3,7,6,4]=>[1,2,3,1,1]=>11010011=>4 [6,8,1,4,7,5,2,3]=>[3,1,8,5,2,4,7,6]=>[1,2,1,3,1]=>11011001=>4 [7,3,8,1,6,4,2,5]=>[2,6,1,8,3,5,7,4]=>[2,2,3,1]=>10101001=>6 [4,7,8,1,5,3,2,6]=>[5,2,1,8,4,6,7,3]=>[1,1,2,3,1]=>11101001=>4 [7,1,8,6,2,5,3,4]=>[2,8,1,3,7,4,6,5]=>[2,3,2,1]=>10100101=>6 [5,8,7,1,3,6,4,2]=>[4,1,2,8,6,3,5,7]=>[1,3,1,3]=>11001100=>3 [3,8,7,2,1,6,4,5]=>[6,1,2,7,8,3,5,4]=>[1,4,2,1]=>11000101=>4 [2,8,7,1,6,3,5,4]=>[7,1,2,8,3,6,4,5]=>[1,3,2,2]=>11001010=>5 [3,7,6,1,5,4,2,8]=>[6,2,3,8,4,5,7,1]=>[1,3,3,1]=>11001001=>4 [4,8,7,6,1,3,5,2]=>[5,1,2,3,8,6,4,7]=>[1,4,1,2]=>11000110=>3 [5,8,7,2,6,1,4,3]=>[4,1,2,7,3,8,5,6]=>[1,3,2,2]=>11001010=>5 [6,8,1,7,5,2,4,3]=>[3,1,8,2,4,7,5,6]=>[1,2,3,2]=>11010010=>5 [7,3,8,6,5,1,2,4]=>[2,6,1,3,4,8,7,5]=>[2,4,1,1]=>10100011=>4 [5,7,8,4,3,1,2,6]=>[4,2,1,5,6,8,7,3]=>[1,1,4,1,1]=>11100011=>2 [5,8,6,4,3,2,1,7]=>[4,1,3,5,6,7,8,2]=>[1,6,1]=>11000001=>2 [8,7,3,6,4,2,1,5]=>[1,2,6,3,5,7,8,4]=>[3,4,1]=>10010001=>4 [6,1,4,2,5,3,7,8]=>[3,8,5,7,4,6,2,1]=>[2,2,2,1,1]=>10101011=>6 [1,3,7,5,4,2,8,6]=>[8,6,2,4,5,7,1,3]=>[1,1,4,2]=>11100010=>3 [6,1,3,5,4,2,7,8]=>[3,8,6,4,5,7,2,1]=>[2,1,3,1,1]=>10110011=>4 [5,1,6,3,4,7,8,2]=>[4,8,3,6,5,2,1,7]=>[2,2,1,1,2]=>10101110=>5 [5,2,6,3,4,7,1,8]=>[4,7,3,6,5,2,8,1]=>[2,2,1,2,1]=>10101101=>6 [2,4,7,1,5,3,8,6]=>[7,5,2,8,4,6,1,3]=>[1,1,2,2,2]=>11101010=>5 [2,3,6,7,4,8,1,5]=>[7,6,3,2,5,1,8,4]=>[1,1,1,2,2,1]=>11110101=>4 [2,7,6,5,3,1,8,4]=>[7,2,3,4,6,8,1,5]=>[1,5,2]=>11000010=>3 [5,2,6,1,4,7,8,3]=>[4,7,3,8,5,2,1,6]=>[2,2,1,1,2]=>10101110=>5 [4,7,6,5,2,1,8,3]=>[5,2,3,4,7,8,1,6]=>[1,5,2]=>11000010=>3 [5,3,6,2,4,1,7,8]=>[4,6,3,7,5,8,2,1]=>[2,2,2,1,1]=>10101011=>6 [5,7,4,2,1,3,6,8]=>[4,2,5,7,8,6,3,1]=>[1,4,1,1,1]=>11000111=>2 [5,3,6,1,4,2,7,8]=>[4,6,3,8,5,7,2,1]=>[2,2,2,1,1]=>10101011=>6 [1,7,4,2,6,3,8,5]=>[8,2,5,7,3,6,1,4]=>[1,3,2,2]=>11001010=>5 [5,7,4,1,2,3,6,8]=>[4,2,5,8,7,6,3,1]=>[1,3,1,1,1,1]=>11001111=>2 [4,7,6,3,8,5,1,2]=>[5,2,3,6,1,4,8,7]=>[1,3,3,1]=>11001001=>4 [3,7,6,5,2,8,1,4]=>[6,2,3,4,7,1,8,5]=>[1,4,2,1]=>11000101=>4 [3,7,6,5,1,2,8,4]=>[6,2,3,4,8,7,1,5]=>[1,4,1,2]=>11000110=>3 [4,7,2,6,1,3,8,5]=>[5,2,7,3,8,6,1,4]=>[1,2,2,1,2]=>11010110=>5 [2,7,1,6,8,3,5,4]=>[7,2,8,3,1,6,4,5]=>[1,2,1,2,2]=>11011010=>5 [9,1,2,3,4,5,6,8,7]=>[1,9,8,7,6,5,4,2,3]=>[2,1,1,1,1,1,2]=>101111110=>3 [9,1,2,3,4,5,7,8,6]=>[1,9,8,7,6,5,3,2,4]=>[2,1,1,1,1,1,2]=>101111110=>3 [9,2,1,8,7,6,5,4,3]=>[1,8,9,2,3,4,5,6,7]=>[3,6]=>100100000=>3 [4,2,9,8,7,6,5,3,1]=>[6,8,1,2,3,4,5,7,9]=>[2,7]=>101000000=>3 [5,2,8,7,6,4,3,1]=>[4,7,1,2,3,5,6,8]=>[2,6]=>10100000=>3 [8,2,7,6,1,5,4,3]=>[1,7,2,3,8,4,5,6]=>[2,3,3]=>10100100=>5 [9,2,8,1,7,6,5,4,3]=>[1,8,2,9,3,4,5,6,7]=>[2,2,5]=>101010000=>5 [8,4,1,7,6,5,3,2]=>[1,5,8,2,3,4,6,7]=>[3,5]=>10010000=>3 [9,3,1,8,7,6,5,4,2]=>[1,7,9,2,3,4,5,6,8]=>[3,6]=>100100000=>3 [4,5,6,2,3,8,1,7]=>[5,4,3,7,6,1,8,2]=>[1,1,2,1,2,1]=>11101101=>4 [4,5,3,2,7,8,1,6]=>[5,4,6,7,2,1,8,3]=>[1,3,1,2,1]=>11001101=>4 [6,5,7,3,8,4,2,1]=>[3,4,2,6,1,5,7,8]=>[2,2,4]=>10101000=>5 [6,8,7,2,4,3,5,1]=>[3,1,2,7,5,6,4,8]=>[1,3,2,2]=>11001010=>5 [3,2,7,4,5,8,1,6]=>[6,7,2,5,4,1,8,3]=>[2,2,1,2,1]=>10101101=>6 [6,8,1,5,2,4,3,7]=>[3,1,8,4,7,5,6,2]=>[1,2,2,2,1]=>11010101=>6 [8,3,4,6,1,5,2,7]=>[1,6,5,3,8,4,7,2]=>[2,1,2,2,1]=>10110101=>6 [2,3,4,7,5,8,1,6]=>[7,6,5,2,4,1,8,3]=>[1,1,1,2,2,1]=>11110101=>4 [6,3,4,7,8,2,5,1]=>[3,6,5,2,1,7,4,8]=>[2,1,1,2,2]=>10111010=>5 [5,3,7,4,8,6,1,2]=>[4,6,2,5,1,3,8,7]=>[2,2,3,1]=>10101001=>6 [8,3,6,4,1,7,2,5]=>[1,6,3,5,8,2,7,4]=>[2,3,2,1]=>10100101=>6 [1,3,7,4,8,6,2,5]=>[8,6,2,5,1,3,7,4]=>[1,1,2,3,1]=>11101001=>4 [3,7,8,5,4,1,2,6]=>[6,2,1,4,5,8,7,3]=>[1,1,4,1,1]=>11100011=>2 [5,4,3,1,7,8,2,6]=>[4,5,6,8,2,1,7,3]=>[4,1,2,1]=>10001101=>4 [5,7,6,2,8,4,1,3]=>[4,2,3,7,1,5,8,6]=>[1,3,3,1]=>11001001=>4 [6,1,7,5,8,3,4,2]=>[3,8,2,4,1,6,5,7]=>[2,2,2,2]=>10101010=>7 [7,5,6,4,1,3,8,2]=>[2,4,3,5,8,6,1,7]=>[2,3,1,2]=>10100110=>5 [1,5,6,8,4,7,3,2]=>[8,4,3,1,5,2,6,7]=>[1,1,1,2,3]=>11110100=>3 [4,1,3,7,6,5,8,2]=>[5,8,6,2,3,4,1,7]=>[2,1,3,2]=>10110010=>5 [3,4,1,7,5,8,6,2]=>[6,5,8,2,4,1,3,7]=>[1,2,2,3]=>11010100=>5 [8,5,7,4,3,1,6,2]=>[1,4,2,5,6,8,3,7]=>[2,4,2]=>10100010=>5 [6,8,5,1,7,2,4,3]=>[3,1,4,8,2,7,5,6]=>[1,3,2,2]=>11001010=>5 [8,2,4,1,3,7,6,5]=>[1,7,5,8,6,2,3,4]=>[2,2,1,3]=>10101100=>5 [7,8,3,6,2,1,4,5]=>[2,1,6,3,7,8,5,4]=>[1,2,3,1,1]=>11010011=>4 [8,1,7,4,2,3,6,5]=>[1,8,2,5,7,6,3,4]=>[2,3,1,2]=>10100110=>5 [1,8,7,2,3,5,6,4]=>[8,1,2,7,6,4,3,5]=>[1,3,1,1,2]=>11001110=>3 [2,8,3,1,6,7,5,4]=>[7,1,6,8,3,2,4,5]=>[1,3,1,3]=>11001100=>3 [8,2,3,1,5,7,6,4]=>[1,7,6,8,4,2,3,5]=>[2,2,1,3]=>10101100=>5 [3,8,4,1,2,7,6,5]=>[6,1,5,8,7,2,3,4]=>[1,3,1,3]=>11001100=>3 [5,4,7,2,3,6,8,1]=>[4,5,2,7,6,3,1,8]=>[2,2,1,1,2]=>10101110=>5 [6,3,2,1,8,4,7,5]=>[3,6,7,8,1,5,2,4]=>[4,2,2]=>10001010=>5 [2,3,7,4,1,8,5,6]=>[7,6,2,5,8,1,4,3]=>[1,1,3,2,1]=>11100101=>4 [6,4,1,3,2,7,8,5]=>[3,5,8,6,7,2,1,4]=>[3,2,1,2]=>10010110=>5 [2,7,8,5,1,3,6,4]=>[7,2,1,4,8,6,3,5]=>[1,1,3,1,2]=>11100110=>3 [8,2,5,6,7,1,3,4]=>[1,7,4,3,2,8,6,5]=>[2,1,1,2,1,1]=>10111011=>4 [2,8,5,4,7,6,1,3]=>[7,1,4,5,2,3,8,6]=>[1,3,3,1]=>11001001=>4 [6,7,1,5,8,2,4,3]=>[3,2,8,4,1,7,5,6]=>[1,2,1,2,2]=>11011010=>5 [4,8,7,6,2,3,5,1]=>[5,1,2,3,7,6,4,8]=>[1,4,1,2]=>11000110=>3 [7,8,1,5,3,2,6,4]=>[2,1,8,4,6,7,3,5]=>[1,2,3,2]=>11010010=>5 [6,5,7,3,8,2,1,4]=>[3,4,2,6,1,7,8,5]=>[2,2,3,1]=>10101001=>6 [8,1,4,7,2,5,6,3]=>[1,8,5,2,7,4,3,6]=>[2,1,2,1,2]=>10110110=>5 [7,3,4,6,1,5,8,2]=>[2,6,5,3,8,4,1,7]=>[2,1,2,1,2]=>10110110=>5 [8,3,4,5,7,1,6,2]=>[1,6,5,4,2,8,3,7]=>[2,1,1,2,2]=>10111010=>5 [4,2,6,8,3,1,5,7]=>[5,7,3,1,6,8,4,2]=>[2,1,3,1,1]=>10110011=>4 [3,7,6,2,4,5,1,8]=>[6,2,3,7,5,4,8,1]=>[1,3,1,2,1]=>11001101=>4 [2,3,6,5,8,1,4,7]=>[7,6,3,4,1,8,5,2]=>[1,1,2,2,1,1]=>11101011=>4 [2,3,5,8,6,1,4,7]=>[7,6,4,1,3,8,5,2]=>[1,1,1,3,1,1]=>11110011=>2 [4,2,3,8,6,1,5,7]=>[5,7,6,1,3,8,4,2]=>[2,1,3,1,1]=>10110011=>4 [6,4,1,2,8,3,5,7]=>[3,5,8,7,1,6,4,2]=>[3,1,2,1,1]=>10011011=>4 [1,2,3,7,4,6,8,5]=>[8,7,6,2,5,3,1,4]=>[1,1,1,2,1,2]=>11110110=>3 [3,2,7,1,4,5,8,6]=>[6,7,2,8,5,4,1,3]=>[2,2,1,1,2]=>10101110=>5 [2,1,5,3,8,7,4,6]=>[7,8,4,6,1,2,5,3]=>[2,2,3,1]=>10101001=>6 [5,8,3,2,4,1,6,7]=>[4,1,6,7,5,8,3,2]=>[1,3,2,1,1]=>11001011=>4 [4,2,7,1,8,3,5,6]=>[5,7,2,8,1,6,4,3]=>[2,2,2,1,1]=>10101011=>6 [4,1,8,2,7,3,5,6]=>[5,8,1,7,2,6,4,3]=>[2,2,2,1,1]=>10101011=>6 [1,2,7,5,3,8,4,6]=>[8,7,2,4,6,1,5,3]=>[1,1,3,2,1]=>11100101=>4 [3,2,7,1,4,8,5,6]=>[6,7,2,8,5,1,4,3]=>[2,2,1,2,1]=>10101101=>6 [1,2,3,7,6,8,4,5]=>[8,7,6,2,3,1,5,4]=>[1,1,1,2,2,1]=>11110101=>4 [1,2,3,6,8,7,4,5]=>[8,7,6,3,1,2,5,4]=>[1,1,1,1,3,1]=>11111001=>2 [1,2,3,7,8,4,6,5]=>[8,7,6,2,1,5,3,4]=>[1,1,1,1,2,2]=>11111010=>3 [1,2,3,6,8,4,7,5]=>[8,7,6,3,1,5,2,4]=>[1,1,1,1,2,2]=>11111010=>3 [1,2,3,7,8,6,4,5]=>[8,7,6,2,1,3,5,4]=>[1,1,1,1,3,1]=>11111001=>2 [6,2,8,3,7,5,1,4]=>[3,7,1,6,2,4,8,5]=>[2,2,3,1]=>10101001=>6 [4,2,8,3,7,5,6,1]=>[5,7,1,6,2,4,3,8]=>[2,2,2,2]=>10101010=>7 [7,3,4,8,6,5,1,2]=>[2,6,5,1,3,4,8,7]=>[2,1,4,1]=>10110001=>4 [5,3,4,8,7,2,6,1]=>[4,6,5,1,2,7,3,8]=>[2,1,3,2]=>10110010=>5 [4,3,5,8,7,2,6,1]=>[5,6,4,1,2,7,3,8]=>[2,1,3,2]=>10110010=>5 [4,6,3,8,5,7,2,1]=>[5,3,6,1,4,2,7,8]=>[1,2,2,3]=>11010100=>5 [7,5,3,8,6,2,4,1]=>[2,4,6,1,3,7,5,8]=>[3,3,2]=>10010010=>5 [2,6,8,3,7,4,5,1]=>[7,3,1,6,2,5,4,8]=>[1,1,2,2,2]=>11101010=>5 [1,8,4,3,7,5,6,2]=>[8,1,5,6,2,4,3,7]=>[1,3,2,2]=>11001010=>5 [2,5,8,3,7,4,6,1]=>[7,4,1,6,2,5,3,8]=>[1,1,2,2,2]=>11101010=>5 [7,4,3,8,6,2,5,1]=>[2,5,6,1,3,7,4,8]=>[3,3,2]=>10010010=>5 [3,5,4,8,7,2,6,1]=>[6,4,5,1,2,7,3,8]=>[1,2,3,2]=>11010010=>5 [4,5,3,8,6,7,2,1]=>[5,4,6,1,3,2,7,8]=>[1,2,2,3]=>11010100=>5 [3,6,7,8,4,5,2,1]=>[6,3,2,1,5,4,7,8]=>[1,1,1,2,3]=>11110100=>3 [2,6,8,5,4,7,3,1]=>[7,3,1,4,5,2,6,8]=>[1,1,3,3]=>11100100=>3 [1,8,5,6,4,7,3,2]=>[8,1,4,3,5,2,6,7]=>[1,2,2,3]=>11010100=>5 [2,5,8,6,4,7,3,1]=>[7,4,1,3,5,2,6,8]=>[1,1,3,3]=>11100100=>3 [7,4,6,5,8,3,2,1]=>[2,5,3,4,1,6,7,8]=>[2,2,4]=>10101000=>5 [6,3,7,8,4,5,2,1]=>[3,6,2,1,5,4,7,8]=>[2,1,2,3]=>10110100=>5 [4,3,7,8,5,6,2,1]=>[5,6,2,1,4,3,7,8]=>[2,1,2,3]=>10110100=>5 [5,2,8,6,4,7,3,1]=>[4,7,1,3,5,2,6,8]=>[2,3,3]=>10100100=>5 [4,2,8,6,5,7,3,1]=>[5,7,1,3,4,2,6,8]=>[2,3,3]=>10100100=>5 [3,2,8,6,7,4,5,1]=>[6,7,1,3,2,5,4,8]=>[2,2,2,2]=>10101010=>7 [2,3,8,7,5,4,6,1]=>[7,6,1,2,4,5,3,8]=>[1,1,4,2]=>11100010=>3 [1,8,2,7,4,5,6,3]=>[8,1,7,2,5,4,3,6]=>[1,2,2,1,2]=>11010110=>5 [7,2,8,6,3,4,5,1]=>[2,7,1,3,6,5,4,8]=>[2,3,1,2]=>10100110=>5 [6,2,8,4,5,7,3,1]=>[3,7,1,5,4,2,6,8]=>[2,2,1,3]=>10101100=>5 [5,2,8,4,6,7,3,1]=>[4,7,1,5,3,2,6,8]=>[2,2,1,3]=>10101100=>5 [4,2,8,5,6,7,3,1]=>[5,7,1,4,3,2,6,8]=>[2,2,1,3]=>10101100=>5 [4,3,6,8,5,7,2,1]=>[5,6,3,1,4,2,7,8]=>[2,1,2,3]=>10110100=>5 [3,4,6,8,7,2,5,1]=>[6,5,3,1,2,7,4,8]=>[1,1,1,3,2]=>11110010=>3 [7,3,5,8,6,2,4,1]=>[2,6,4,1,3,7,5,8]=>[2,1,3,2]=>10110010=>5 [1,8,3,5,7,4,6,2]=>[8,1,6,4,2,5,3,7]=>[1,2,1,2,2]=>11011010=>5 [2,7,8,4,5,6,3,1]=>[7,2,1,5,4,3,6,8]=>[1,1,2,1,3]=>11101100=>3 [3,7,5,8,4,6,2,1]=>[6,2,4,1,5,3,7,8]=>[1,2,2,3]=>11010100=>5 [5,7,4,6,8,3,2,1]=>[4,2,5,3,1,6,7,8]=>[1,2,1,4]=>11011000=>3 [3,6,5,8,4,7,2,1]=>[6,3,4,1,5,2,7,8]=>[1,2,2,3]=>11010100=>5 [2,6,8,4,5,7,3,1]=>[7,3,1,5,4,2,6,8]=>[1,1,2,1,3]=>11101100=>3 [4,2,7,1,3,8,5,6]=>[5,7,2,8,6,1,4,3]=>[2,2,1,2,1]=>10101101=>6 [4,2,5,1,3,8,6,7]=>[5,7,4,8,6,1,3,2]=>[2,2,1,2,1]=>10101101=>6 [5,3,6,1,7,2,4,8]=>[4,6,3,8,2,7,5,1]=>[2,2,2,1,1]=>10101011=>6 [3,7,1,2,5,8,6,4]=>[6,2,8,7,4,1,3,5]=>[1,2,1,1,3]=>11011100=>3 [3,7,4,1,2,8,5,6]=>[6,2,5,8,7,1,4,3]=>[1,3,1,2,1]=>11001101=>4 [7,5,1,3,4,8,6,2]=>[2,4,8,6,5,1,3,7]=>[3,1,1,3]=>10011100=>3 [7,5,1,2,4,8,6,3]=>[2,4,8,7,5,1,3,6]=>[3,1,1,3]=>10011100=>3 [6,4,2,3,7,1,5,8]=>[3,5,7,6,2,8,4,1]=>[3,1,2,1,1]=>10011011=>4 [7,6,3,8,1,2,5,4]=>[2,3,6,1,8,7,4,5]=>[3,2,1,2]=>10010110=>5 [7,4,2,3,8,1,6,5]=>[2,5,7,6,1,8,3,4]=>[3,1,2,2]=>10011010=>5 [4,7,5,2,8,1,3,6]=>[5,2,4,7,1,8,6,3]=>[1,3,2,1,1]=>11001011=>4 [8,2,6,3,7,1,4,5]=>[1,7,3,6,2,8,5,4]=>[2,2,2,1,1]=>10101011=>6 [8,6,1,2,7,4,5,3]=>[1,3,8,7,2,5,4,6]=>[3,1,2,2]=>10011010=>5 [8,4,7,1,2,3,6,5]=>[1,5,2,8,7,6,3,4]=>[2,2,1,1,2]=>10101110=>5 [8,5,7,1,2,4,6,3]=>[1,4,2,8,7,5,3,6]=>[2,2,1,1,2]=>10101110=>5 [8,5,7,1,3,4,6,2]=>[1,4,2,8,6,5,3,7]=>[2,2,1,1,2]=>10101110=>5 [8,6,2,7,1,3,5,4]=>[1,3,7,2,8,6,4,5]=>[3,2,1,2]=>10010110=>5 [3,8,5,6,1,2,4,7]=>[6,1,4,3,8,7,5,2]=>[1,2,2,1,1,1]=>11010111=>4 [3,7,5,8,1,2,4,6]=>[6,2,4,1,8,7,5,3]=>[1,2,2,1,1,1]=>11010111=>4 [7,6,4,8,1,3,5,2]=>[2,3,5,1,8,6,4,7]=>[3,2,1,2]=>10010110=>5 [6,5,8,1,2,4,7,3]=>[3,4,1,8,7,5,2,6]=>[2,2,1,1,2]=>10101110=>5 [3,6,8,1,2,5,7,4]=>[6,3,1,8,7,4,2,5]=>[1,1,2,1,1,2]=>11101110=>3 [3,7,2,4,8,1,6,5]=>[6,2,7,5,1,8,3,4]=>[1,2,1,2,2]=>11011010=>5 [4,6,3,8,1,2,5,7]=>[5,3,6,1,8,7,4,2]=>[1,2,2,1,1,1]=>11010111=>4 [4,6,3,7,1,2,5,8]=>[5,3,6,2,8,7,4,1]=>[1,2,2,1,1,1]=>11010111=>4 [4,1,7,8,2,3,6,5]=>[5,8,2,1,7,6,3,4]=>[2,1,2,1,2]=>10110110=>5 [5,1,2,8,6,3,4,7]=>[4,8,7,1,3,6,5,2]=>[2,1,3,1,1]=>10110011=>4 [5,3,8,1,6,2,4,7]=>[4,6,1,8,3,7,5,2]=>[2,2,2,1,1]=>10101011=>6 [6,1,8,5,2,3,4,7]=>[3,8,1,4,7,6,5,2]=>[2,3,1,1,1]=>10100111=>4 [6,1,7,5,2,3,4,8]=>[3,8,2,4,7,6,5,1]=>[2,3,1,1,1]=>10100111=>4 [6,8,1,3,7,4,5,2]=>[3,1,8,6,2,5,4,7]=>[1,2,1,2,2]=>11011010=>5 [7,2,8,1,6,3,4,5]=>[2,7,1,8,3,6,5,4]=>[2,2,2,1,1]=>10101011=>6 [4,7,8,2,5,1,3,6]=>[5,2,1,7,4,8,6,3]=>[1,1,2,2,1,1]=>11101011=>4 [6,8,2,7,1,4,5,3]=>[3,1,7,2,8,5,4,6]=>[1,2,2,1,2]=>11010110=>5 [4,8,7,1,3,5,6,2]=>[5,1,2,8,6,4,3,7]=>[1,3,1,1,2]=>11001110=>3 [3,8,7,1,2,4,6,5]=>[6,1,2,8,7,5,3,4]=>[1,3,1,1,2]=>11001110=>3 [4,8,7,1,2,3,6,5]=>[5,1,2,8,7,6,3,4]=>[1,3,1,1,2]=>11001110=>3 [5,8,7,1,2,4,6,3]=>[4,1,2,8,7,5,3,6]=>[1,3,1,1,2]=>11001110=>3 [5,8,7,1,3,4,6,2]=>[4,1,2,8,6,5,3,7]=>[1,3,1,1,2]=>11001110=>3 [7,1,8,6,2,3,5,4]=>[2,8,1,3,7,6,4,5]=>[2,3,1,2]=>10100110=>5 [5,8,6,4,1,2,3,7]=>[4,1,3,5,8,7,6,2]=>[1,4,1,1,1]=>11000111=>2 [7,8,4,1,2,5,3,6]=>[2,1,5,8,7,4,6,3]=>[1,3,1,2,1]=>11001101=>4 [7,8,1,2,6,5,3,4]=>[2,1,8,7,3,4,6,5]=>[1,2,1,3,1]=>11011001=>4 [1,4,8,2,7,5,3,6]=>[8,5,1,7,2,4,6,3]=>[1,1,2,3,1]=>11101001=>4 [6,1,3,4,7,2,5,8]=>[3,8,6,5,2,7,4,1]=>[2,1,1,2,1,1]=>10111011=>4 [7,8,2,1,6,3,5,4]=>[2,1,7,8,3,6,4,5]=>[1,3,2,2]=>11001010=>5 [6,1,2,7,5,4,3,8]=>[3,8,7,2,4,5,6,1]=>[2,1,4,1]=>10110001=>4 [1,2,8,7,5,4,3,6]=>[8,7,1,2,4,5,6,3]=>[1,1,5,1]=>11100001=>2 [5,1,7,3,6,4,8,2]=>[4,8,2,6,3,5,1,7]=>[2,2,2,2]=>10101010=>7 [6,2,1,5,7,4,3,8]=>[3,7,8,4,2,5,6,1]=>[3,1,3,1]=>10011001=>4 [6,2,3,7,4,1,5,8]=>[3,7,6,2,5,8,4,1]=>[2,1,3,1,1]=>10110011=>4 [3,4,8,7,5,6,1,2]=>[6,5,1,2,4,3,8,7]=>[1,1,3,2,1]=>11100101=>4 [1,8,3,7,6,4,5,2]=>[8,1,6,2,3,5,4,7]=>[1,2,3,2]=>11010010=>5 [5,2,7,1,4,6,8,3]=>[4,7,2,8,5,3,1,6]=>[2,2,1,1,2]=>10101110=>5 [4,6,7,5,2,1,8,3]=>[5,3,2,4,7,8,1,6]=>[1,1,4,2]=>11100010=>3 [6,3,1,4,5,7,8,2]=>[3,6,8,5,4,2,1,7]=>[3,1,1,1,2]=>10011110=>3 [5,3,1,4,6,2,7,8]=>[4,6,8,5,3,7,2,1]=>[3,1,2,1,1]=>10011011=>4 [5,1,2,4,7,6,8,3]=>[4,8,7,5,2,3,1,6]=>[2,1,1,2,2]=>10111010=>5 [5,7,4,1,2,6,3,8]=>[4,2,5,8,7,3,6,1]=>[1,3,1,2,1]=>11001101=>4 [4,8,1,2,6,7,3,5]=>[5,1,8,7,3,2,6,4]=>[1,2,1,1,2,1]=>11011101=>4 [4,1,7,8,2,6,3,5]=>[5,8,2,1,7,3,6,4]=>[2,1,2,2,1]=>10110101=>6 [1,2,8,7,6,5,3,4]=>[8,7,1,2,3,4,6,5]=>[1,1,5,1]=>11100001=>2 [3,1,2,4,6,8,7,5]=>[6,8,7,5,3,1,2,4]=>[2,1,1,1,3]=>10111100=>3 [3,1,8,4,5,7,6,2]=>[6,8,1,5,4,2,3,7]=>[2,2,1,3]=>10101100=>5 [3,2,8,5,4,7,1,6]=>[6,7,1,4,5,2,8,3]=>[2,3,2,1]=>10100101=>6 [4,2,8,1,5,3,7,6]=>[5,7,1,8,4,6,2,3]=>[2,2,2,2]=>10101010=>7 [4,3,8,5,7,6,1,2]=>[5,6,1,4,2,3,8,7]=>[2,2,3,1]=>10101001=>6 [4,8,2,1,6,3,7,5]=>[5,1,7,8,3,6,2,4]=>[1,3,2,2]=>11001010=>5 [3,8,6,5,2,7,1,4]=>[6,1,3,4,7,2,8,5]=>[1,4,2,1]=>11000101=>4 [3,8,5,6,1,7,4,2]=>[6,1,4,3,8,2,5,7]=>[1,2,2,3]=>11010100=>5 [3,5,7,8,1,2,6,4]=>[6,4,2,1,8,7,3,5]=>[1,1,1,2,1,2]=>11110110=>3 [3,7,8,5,2,1,6,4]=>[6,2,1,4,7,8,3,5]=>[1,1,4,2]=>11100010=>3 [2,8,1,7,4,6,5,3]=>[7,1,8,2,5,3,4,6]=>[1,2,2,3]=>11010100=>5 [2,8,7,5,1,6,4,3]=>[7,1,2,4,8,3,5,6]=>[1,4,3]=>11000100=>3 [2,8,6,7,5,1,4,3]=>[7,1,3,2,4,8,5,6]=>[1,2,3,2]=>11010010=>5 [5,1,3,4,6,7,2,8]=>[4,8,6,5,3,2,7,1]=>[2,1,1,1,2,1]=>10111101=>4 [1,3,4,8,7,5,2,6]=>[8,6,5,1,2,4,7,3]=>[1,1,1,4,1]=>11110001=>2 [8,2,4,1,7,3,5,6]=>[1,7,5,8,2,6,4,3]=>[2,2,2,1,1]=>10101011=>6 [8,6,1,4,2,3,7,5]=>[1,3,8,5,7,6,2,4]=>[3,2,1,2]=>10010110=>5 [3,6,1,4,2,8,7,5]=>[6,3,8,5,7,1,2,4]=>[1,2,2,3]=>11010100=>5 [1,6,8,4,3,7,2,5]=>[8,3,1,5,6,2,7,4]=>[1,1,3,2,1]=>11100101=>4 [3,1,4,7,8,5,2,6]=>[6,8,5,2,1,4,7,3]=>[2,1,1,3,1]=>10111001=>4 [6,1,7,4,3,8,2,5]=>[3,8,2,5,6,1,7,4]=>[2,3,2,1]=>10100101=>6 [1,8,7,4,3,6,2,5]=>[8,1,2,5,6,3,7,4]=>[1,4,2,1]=>11000101=>4 [7,4,1,3,8,2,6,5]=>[2,5,8,6,1,7,3,4]=>[3,1,2,2]=>10011010=>5 [4,8,2,3,1,5,7,6]=>[5,1,7,6,8,4,2,3]=>[1,2,2,1,2]=>11010110=>5 [4,8,6,2,1,3,7,5]=>[5,1,3,7,8,6,2,4]=>[1,4,1,2]=>11000110=>3 [2,7,4,1,8,3,5,6]=>[7,2,5,8,1,6,4,3]=>[1,3,2,1,1]=>11001011=>4 [1,7,8,4,2,3,6,5]=>[8,2,1,5,7,6,3,4]=>[1,1,3,1,2]=>11100110=>3 [4,7,1,3,8,2,6,5]=>[5,2,8,6,1,7,3,4]=>[1,2,1,2,2]=>11011010=>5 [8,7,1,3,4,2,6,5]=>[1,2,8,6,5,7,3,4]=>[3,1,2,2]=>10011010=>5 [1,7,4,3,6,2,8,5]=>[8,2,5,6,3,7,1,4]=>[1,3,2,2]=>11001010=>5 [3,8,4,6,5,2,1,7]=>[6,1,5,3,4,7,8,2]=>[1,2,4,1]=>11010001=>4 [2,4,3,7,5,8,1,6]=>[7,5,6,2,4,1,8,3]=>[1,2,2,2,1]=>11010101=>6 [1,4,7,3,6,2,8,5]=>[8,5,2,6,3,7,1,4]=>[1,1,2,2,2]=>11101010=>5 [1,8,3,4,2,6,7,5]=>[8,1,6,5,7,3,2,4]=>[1,2,2,1,2]=>11010110=>5 [6,4,1,3,7,2,8,5]=>[3,5,8,6,2,7,1,4]=>[3,1,2,2]=>10011010=>5 [8,1,4,3,6,2,7,5]=>[1,8,5,6,3,7,2,4]=>[2,2,2,2]=>10101010=>7 [4,2,3,8,5,7,1,6]=>[5,7,6,1,4,2,8,3]=>[2,1,2,2,1]=>10110101=>6 [2,8,5,7,3,4,1,6]=>[7,1,4,2,6,5,8,3]=>[1,2,2,2,1]=>11010101=>6 [5,8,2,6,4,3,1,7]=>[4,1,7,3,5,6,8,2]=>[1,2,4,1]=>11010001=>4 [7,2,5,8,4,3,1,6]=>[2,7,4,1,5,6,8,3]=>[2,1,4,1]=>10110001=>4 [4,2,3,5,8,7,1,6]=>[5,7,6,4,1,2,8,3]=>[2,1,1,3,1]=>10111001=>4 [8,2,3,5,4,7,1,6]=>[1,7,6,4,5,2,8,3]=>[2,1,2,2,1]=>10110101=>6 [6,1,8,3,4,2,7,5]=>[3,8,1,6,5,7,2,4]=>[2,2,2,2]=>10101010=>7 [1,8,6,4,2,3,7,5]=>[8,1,3,5,7,6,2,4]=>[1,4,1,2]=>11000110=>3 [3,8,4,5,6,2,1,7]=>[6,1,5,4,3,7,8,2]=>[1,2,1,3,1]=>11011001=>4 [2,4,3,5,7,8,1,6]=>[7,5,6,4,2,1,8,3]=>[1,2,1,1,2,1]=>11011101=>4 [3,8,6,5,4,2,1,7]=>[6,1,3,4,5,7,8,2]=>[1,6,1]=>11000001=>2 [6,3,1,4,2,8,7,5]=>[3,6,8,5,7,1,2,4]=>[3,2,3]=>10010100=>5 [7,3,8,1,2,6,4,5]=>[2,6,1,8,7,3,5,4]=>[2,2,1,2,1]=>10101101=>6 [7,1,4,5,3,2,6,8]=>[2,8,5,4,6,7,3,1]=>[2,1,3,1,1]=>10110011=>4 [1,8,4,2,6,5,3,7]=>[8,1,5,7,3,4,6,2]=>[1,3,3,1]=>11001001=>4 [5,1,4,8,6,3,2,7]=>[4,8,5,1,3,6,7,2]=>[2,1,4,1]=>10110001=>4 [5,3,1,8,4,7,2,6]=>[4,6,8,1,5,2,7,3]=>[3,2,2,1]=>10010101=>6 [4,3,8,1,5,7,2,6]=>[5,6,1,8,4,2,7,3]=>[2,2,1,2,1]=>10101101=>6 [6,3,1,2,5,7,4,8]=>[3,6,8,7,4,2,5,1]=>[3,1,1,2,1]=>10011101=>4 [7,1,4,2,6,5,3,8]=>[2,8,5,7,3,4,6,1]=>[2,2,3,1]=>10101001=>6 [3,8,4,1,6,5,2,7]=>[6,1,5,8,3,4,7,2]=>[1,3,3,1]=>11001001=>4 [7,5,3,6,4,8,2,1]=>[2,4,6,3,5,1,7,8]=>[3,2,3]=>10010100=>5 [7,3,6,4,5,8,2,1]=>[2,6,3,5,4,1,7,8]=>[2,2,1,3]=>10101100=>5 [8,7,2,4,5,1,6,3]=>[1,2,7,5,4,8,3,6]=>[3,1,2,2]=>10011010=>5 [7,1,5,4,8,6,3,2]=>[2,8,4,5,1,3,6,7]=>[2,2,4]=>10101000=>5 [2,7,5,4,8,6,3,1]=>[7,2,4,5,1,3,6,8]=>[1,3,4]=>11001000=>3 [2,1,8,7,5,3,6,4]=>[7,8,1,2,4,6,3,5]=>[2,4,2]=>10100010=>5 [5,8,3,7,4,1,6,2]=>[4,1,6,2,5,8,3,7]=>[1,2,3,2]=>11010010=>5 [8,1,7,4,2,6,5,3]=>[1,8,2,5,7,3,4,6]=>[2,3,3]=>10100100=>5 [5,6,3,1,8,4,7,2]=>[4,3,6,8,1,5,2,7]=>[1,3,2,2]=>11001010=>5 [5,7,1,4,8,6,3,2]=>[4,2,8,5,1,3,6,7]=>[1,2,1,4]=>11011000=>3 [3,5,7,4,8,6,2,1]=>[6,4,2,5,1,3,7,8]=>[1,1,2,4]=>11101000=>3 [2,6,7,4,5,8,3,1]=>[7,3,2,5,4,1,6,8]=>[1,1,2,1,3]=>11101100=>3 [6,1,7,4,5,8,3,2]=>[3,8,2,5,4,1,6,7]=>[2,2,1,3]=>10101100=>5 [5,3,7,4,8,6,2,1]=>[4,6,2,5,1,3,7,8]=>[2,2,4]=>10101000=>5 [8,5,3,6,1,4,7,2]=>[1,4,6,3,8,5,2,7]=>[3,2,1,2]=>10010110=>5 [5,4,3,6,8,2,7,1]=>[4,5,6,3,1,7,2,8]=>[3,1,2,2]=>10011010=>5 [6,5,3,7,4,8,2,1]=>[3,4,6,2,5,1,7,8]=>[3,2,3]=>10010100=>5 [7,5,8,4,1,6,3,2]=>[2,4,1,5,8,3,6,7]=>[2,3,3]=>10100100=>5 [2,7,8,4,5,1,6,3]=>[7,2,1,5,4,8,3,6]=>[1,1,2,2,2]=>11101010=>5 [5,7,3,8,4,1,6,2]=>[4,2,6,1,5,8,3,7]=>[1,2,3,2]=>11010010=>5 [5,6,3,8,1,4,7,2]=>[4,3,6,1,8,5,2,7]=>[1,2,2,1,2]=>11010110=>5 [8,4,1,2,5,6,7,3]=>[1,5,8,7,4,3,2,6]=>[3,1,1,1,2]=>10011110=>3 [3,7,8,4,1,6,5,2]=>[6,2,1,5,8,3,4,7]=>[1,1,3,3]=>11100100=>3 [6,8,3,1,2,5,7,4]=>[3,1,6,8,7,4,2,5]=>[1,3,1,1,2]=>11001110=>3 [8,5,1,7,2,6,4,3]=>[1,4,8,2,7,3,5,6]=>[3,2,3]=>10010100=>5 [8,7,1,4,5,2,6,3]=>[1,2,8,5,4,7,3,6]=>[3,1,2,2]=>10011010=>5 [7,6,3,1,5,2,8,4]=>[2,3,6,8,4,7,1,5]=>[4,2,2]=>10001010=>5 [7,5,1,8,2,6,3,4]=>[2,4,8,1,7,3,6,5]=>[3,2,2,1]=>10010101=>6 [8,7,3,1,5,4,2,6]=>[1,2,6,8,4,5,7,3]=>[4,3,1]=>10001001=>4 [3,6,2,1,5,4,8,7]=>[6,3,7,8,4,5,1,2]=>[1,3,2,2]=>11001010=>5 [5,4,2,6,1,3,8,7]=>[4,5,7,3,8,6,1,2]=>[3,2,1,2]=>10010110=>5 [3,2,6,5,1,4,8,7]=>[6,7,3,4,8,5,1,2]=>[2,3,1,2]=>10100110=>5 [2,5,8,1,7,4,3,6]=>[7,4,1,8,2,5,6,3]=>[1,1,2,3,1]=>11101001=>4 [6,8,2,7,4,3,1,5]=>[3,1,7,2,5,6,8,4]=>[1,2,4,1]=>11010001=>4 [6,8,2,3,7,5,1,4]=>[3,1,7,6,2,4,8,5]=>[1,2,1,3,1]=>11011001=>4 [7,6,2,5,4,8,1,3]=>[2,3,7,4,5,1,8,6]=>[3,2,2,1]=>10010101=>6 [2,6,5,1,8,4,3,7]=>[7,3,4,8,1,5,6,2]=>[1,3,3,1]=>11001001=>4 [4,2,7,3,1,8,5,6]=>[5,7,2,6,8,1,4,3]=>[2,3,2,1]=>10100101=>6 [4,2,3,7,1,5,8,6]=>[5,7,6,2,8,4,1,3]=>[2,1,2,1,2]=>10110110=>5 [5,2,7,3,8,6,1,4]=>[4,7,2,6,1,3,8,5]=>[2,2,3,1]=>10101001=>6 [2,1,5,8,4,3,7,6]=>[7,8,4,1,5,6,2,3]=>[2,1,3,2]=>10110010=>5 [5,8,4,2,6,7,1,3]=>[4,1,5,7,3,2,8,6]=>[1,3,1,2,1]=>11001101=>4 [3,2,4,8,1,5,7,6]=>[6,7,5,1,8,4,2,3]=>[2,1,2,1,2]=>10110110=>5 [2,4,8,3,1,7,5,6]=>[7,5,1,6,8,2,4,3]=>[1,1,3,2,1]=>11100101=>4 [4,8,3,2,1,7,6,5]=>[5,1,6,7,8,2,3,4]=>[1,4,3]=>11000100=>3 [4,1,3,7,2,6,8,5]=>[5,8,6,2,7,3,1,4]=>[2,1,2,1,2]=>10110110=>5 [3,4,8,2,1,6,5,7]=>[6,5,1,7,8,3,4,2]=>[1,1,3,2,1]=>11100101=>4 [6,8,3,7,2,1,5,4]=>[3,1,6,2,7,8,4,5]=>[1,2,3,2]=>11010010=>5 [3,5,8,1,7,2,6,4]=>[6,4,1,8,2,7,3,5]=>[1,1,2,2,2]=>11101010=>5 [5,1,7,4,6,8,3,2]=>[4,8,2,5,3,1,6,7]=>[2,2,1,3]=>10101100=>5 [7,6,4,8,1,5,3,2]=>[2,3,5,1,8,4,6,7]=>[3,2,3]=>10010100=>5 [5,3,7,1,8,2,6,4]=>[4,6,2,8,1,7,3,5]=>[2,2,2,2]=>10101010=>7 [2,7,6,3,8,1,4,5]=>[7,2,3,6,1,8,5,4]=>[1,3,2,1,1]=>11001011=>4 [2,1,7,6,4,8,3,5]=>[7,8,2,3,5,1,6,4]=>[2,3,2,1]=>10100101=>6 [2,1,5,4,8,7,3,6]=>[7,8,4,5,1,2,6,3]=>[2,2,3,1]=>10101001=>6 [5,4,8,7,2,6,1,3]=>[4,5,1,2,7,3,8,6]=>[2,3,2,1]=>10100101=>6 [2,4,3,8,7,1,5,6]=>[7,5,6,1,2,8,4,3]=>[1,2,3,1,1]=>11010011=>4 [3,4,1,8,6,2,7,5]=>[6,5,8,1,3,7,2,4]=>[1,2,3,2]=>11010010=>5 [3,8,5,4,2,1,7,6]=>[6,1,4,5,7,8,2,3]=>[1,5,2]=>11000010=>3 [4,8,6,5,2,7,1,3]=>[5,1,3,4,7,2,8,6]=>[1,4,2,1]=>11000101=>4 [3,2,8,7,5,4,1,6]=>[6,7,1,2,4,5,8,3]=>[2,5,1]=>10100001=>4 [2,8,6,5,4,3,1,7]=>[7,1,3,4,5,6,8,2]=>[1,6,1]=>11000001=>2 [5,4,2,6,3,1,8,7]=>[4,5,7,3,6,8,1,2]=>[3,3,2]=>10010010=>5 [6,5,2,1,3,4,8,7]=>[3,4,7,8,6,5,1,2]=>[4,1,1,2]=>10001110=>3 [8,5,2,7,3,1,4,6]=>[1,4,7,2,6,8,5,3]=>[3,3,1,1]=>10010011=>4 [7,3,6,5,2,8,4,1]=>[2,6,3,4,7,1,5,8]=>[2,3,3]=>10100100=>5 [7,6,2,3,4,8,5,1]=>[2,3,7,6,5,1,4,8]=>[3,1,1,3]=>10011100=>3 [8,7,5,3,1,4,2,6]=>[1,2,4,6,8,5,7,3]=>[5,2,1]=>10000101=>4 [7,1,5,3,8,4,6,2]=>[2,8,4,6,1,5,3,7]=>[2,2,2,2]=>10101010=>7 [6,7,2,3,5,8,4,1]=>[3,2,7,6,4,1,5,8]=>[1,2,1,1,3]=>11011100=>3 [3,7,6,4,2,8,5,1]=>[6,2,3,5,7,1,4,8]=>[1,4,3]=>11000100=>3 [2,1,7,6,4,8,5,3]=>[7,8,2,3,5,1,4,6]=>[2,3,3]=>10100100=>5 [2,1,8,7,4,3,5,6]=>[7,8,1,2,5,6,4,3]=>[2,4,1,1]=>10100011=>4 [5,8,3,7,2,1,4,6]=>[4,1,6,2,7,8,5,3]=>[1,2,3,1,1]=>11010011=>4 [3,8,7,4,2,1,5,6]=>[6,1,2,5,7,8,4,3]=>[1,5,1,1]=>11000011=>2 [7,8,2,3,5,1,4,6]=>[2,1,7,6,4,8,5,3]=>[1,2,1,2,1,1]=>11011011=>4 [2,8,6,3,1,4,7,5]=>[7,1,3,6,8,5,2,4]=>[1,4,1,2]=>11000110=>3 [8,1,6,3,2,4,5,7]=>[1,8,3,6,7,5,4,2]=>[2,3,1,1,1]=>10100111=>4 [5,7,1,4,8,3,6,2]=>[4,2,8,5,1,6,3,7]=>[1,2,1,2,2]=>11011010=>5 [6,3,7,5,8,4,2,1]=>[3,6,2,4,1,5,7,8]=>[2,2,4]=>10101000=>5 [7,6,1,5,8,3,4,2]=>[2,3,8,4,1,6,5,7]=>[3,1,2,2]=>10011010=>5 [8,6,7,5,1,3,2,4]=>[1,3,2,4,8,6,7,5]=>[2,3,2,1]=>10100101=>6 [8,5,2,6,1,7,3,4]=>[1,4,7,3,8,2,6,5]=>[3,2,2,1]=>10010101=>6 [5,4,2,6,8,3,7,1]=>[4,5,7,3,1,6,2,8]=>[3,1,2,2]=>10011010=>5 [6,5,2,8,1,4,3,7]=>[3,4,7,1,8,5,6,2]=>[3,2,2,1]=>10010101=>6 [7,4,2,8,1,3,6,5]=>[2,5,7,1,8,6,3,4]=>[3,2,1,2]=>10010110=>5 [2,7,8,4,5,1,3,6]=>[7,2,1,5,4,8,6,3]=>[1,1,2,2,1,1]=>11101011=>4 [5,7,3,8,4,1,2,6]=>[4,2,6,1,5,8,7,3]=>[1,2,3,1,1]=>11010011=>4 [2,4,8,1,5,6,3,7]=>[7,5,1,8,4,3,6,2]=>[1,1,2,1,2,1]=>11101101=>4 [3,4,8,1,5,2,7,6]=>[6,5,1,8,4,7,2,3]=>[1,1,2,2,2]=>11101010=>5 [3,6,8,4,1,2,7,5]=>[6,3,1,5,8,7,2,4]=>[1,1,3,1,2]=>11100110=>3 [4,8,1,2,5,3,6,7]=>[5,1,8,7,4,6,3,2]=>[1,2,1,2,1,1]=>11011011=>4 [8,1,2,4,3,5,6,7]=>[1,8,7,5,6,4,3,2]=>[2,1,2,1,1,1]=>10110111=>4 [2,3,5,6,4,7,8,9,1]=>[8,7,5,4,6,3,2,1,9]=>[1,1,1,2,1,1,2]=>111101110=>3 [5,8,7,4,6,3,2,1]=>[4,1,2,5,3,6,7,8]=>[1,3,4]=>11001000=>3 [4,8,7,6,3,5,2,1]=>[5,1,2,3,6,4,7,8]=>[1,4,3]=>11000100=>3 [3,8,7,6,5,2,4,1]=>[6,1,2,3,4,7,5,8]=>[1,5,2]=>11000010=>3 [7,9,6,8,5,4,3,2,1]=>[3,1,4,2,5,6,7,8,9]=>[1,2,6]=>110100000=>3 [5,8,4,7,6,3,2,1]=>[4,1,5,2,3,6,7,8]=>[1,2,5]=>11010000=>3 [6,8,5,4,7,3,2,1]=>[3,1,4,5,2,6,7,8]=>[1,3,4]=>11001000=>3 [3,8,7,6,2,5,4,1]=>[6,1,2,3,7,4,5,8]=>[1,4,3]=>11000100=>3 [4,8,7,6,3,2,5,1]=>[5,1,2,3,6,7,4,8]=>[1,5,2]=>11000010=>3 [3,9,8,7,6,5,2,4,1]=>[7,1,2,3,4,5,8,6,9]=>[1,6,2]=>110000010=>3 [3,8,7,6,5,2,1,4]=>[6,1,2,3,4,7,8,5]=>[1,6,1]=>11000001=>2 [8,7,9,5,6,3,4,1,2]=>[2,3,1,5,4,7,6,9,8]=>[2,2,2,2,1]=>101010101=>8 [7,5,8,4,6,3,1,2]=>[2,4,1,5,3,6,8,7]=>[2,2,3,1]=>10101001=>6 [7,6,8,2,5,1,4,3]=>[2,3,1,7,4,8,5,6]=>[2,2,2,2]=>10101010=>7 [3,5,2,4,7,6,1,8]=>[6,4,7,5,2,3,8,1]=>[1,2,1,3,1]=>11011001=>4 [3,5,4,7,2,6,1,8]=>[6,4,5,2,7,3,8,1]=>[1,2,2,2,1]=>11010101=>6 [3,5,4,7,6,1,2,8]=>[6,4,5,2,3,8,7,1]=>[1,2,3,1,1]=>11010011=>4 [3,5,4,7,6,1,8,2]=>[6,4,5,2,3,8,1,7]=>[1,2,3,2]=>11010010=>5 [3,5,7,4,6,1,8,2]=>[6,4,2,5,3,8,1,7]=>[1,1,2,2,2]=>11101010=>5 [3,5,7,4,6,1,2,8]=>[6,4,2,5,3,8,7,1]=>[1,1,2,2,1,1]=>11101011=>4 [3,5,7,4,6,2,1,8]=>[6,4,2,5,3,7,8,1]=>[1,1,2,3,1]=>11101001=>4 [3,2,5,7,4,6,1,8]=>[6,7,4,2,5,3,8,1]=>[2,1,2,2,1]=>10110101=>6 [3,5,2,7,6,4,1,8]=>[6,4,7,2,3,5,8,1]=>[1,2,4,1]=>11010001=>4 [3,5,7,2,6,4,1,8]=>[6,4,2,7,3,5,8,1]=>[1,1,2,3,1]=>11101001=>4 [5,3,7,6,2,4,1,8]=>[4,6,2,3,7,5,8,1]=>[2,3,2,1]=>10100101=>6 [5,3,7,6,1,2,8,4]=>[4,6,2,3,8,7,1,5]=>[2,3,1,2]=>10100110=>5 [5,3,7,6,1,4,2,8]=>[4,6,2,3,8,5,7,1]=>[2,3,2,1]=>10100101=>6 [5,3,7,6,4,1,2,8]=>[4,6,2,3,5,8,7,1]=>[2,4,1,1]=>10100011=>4 [3,5,7,2,6,1,4,8]=>[6,4,2,7,3,8,5,1]=>[1,1,2,2,1,1]=>11101011=>4 [3,5,2,7,6,1,4,8]=>[6,4,7,2,3,8,5,1]=>[1,2,3,1,1]=>11010011=>4 [5,3,7,6,4,1,8,2]=>[4,6,2,3,5,8,1,7]=>[2,4,2]=>10100010=>5 [3,7,5,4,1,8,2,6]=>[6,2,4,5,8,1,7,3]=>[1,4,2,1]=>11000101=>4 [3,7,5,4,1,8,6,2]=>[6,2,4,5,8,1,3,7]=>[1,4,3]=>11000100=>3 [3,7,5,1,4,8,6,2]=>[6,2,4,8,5,1,3,7]=>[1,3,1,3]=>11001100=>3 [3,7,5,1,4,8,2,6]=>[6,2,4,8,5,1,7,3]=>[1,3,1,2,1]=>11001101=>4 [3,5,7,1,2,6,8,4]=>[6,4,2,8,7,3,1,5]=>[1,1,2,1,1,2]=>11101110=>3 [3,5,7,2,1,6,8,4]=>[6,4,2,7,8,3,1,5]=>[1,1,3,1,2]=>11100110=>3 [3,5,2,7,1,6,4,8]=>[6,4,7,2,8,3,5,1]=>[1,2,2,2,1]=>11010101=>6 [3,5,7,2,1,6,4,8]=>[6,4,2,7,8,3,5,1]=>[1,1,3,2,1]=>11100101=>4 [5,3,7,1,6,2,4,8]=>[4,6,2,8,3,7,5,1]=>[2,2,2,1,1]=>10101011=>6 [3,5,7,1,4,6,8,2]=>[6,4,2,8,5,3,1,7]=>[1,1,2,1,1,2]=>11101110=>3 [3,5,7,1,4,6,2,8]=>[6,4,2,8,5,3,7,1]=>[1,1,2,1,2,1]=>11101101=>4 [3,5,7,1,4,2,6,8]=>[6,4,2,8,5,7,3,1]=>[1,1,2,2,1,1]=>11101011=>4 [3,5,7,2,1,4,6,8]=>[6,4,2,7,8,5,3,1]=>[1,1,3,1,1,1]=>11100111=>2 [3,5,2,7,1,4,6,8]=>[6,4,7,2,8,5,3,1]=>[1,2,2,1,1,1]=>11010111=>4 [3,2,5,7,4,1,6,8]=>[6,7,4,2,5,8,3,1]=>[2,1,3,1,1]=>10110011=>4 [3,5,2,7,4,1,6,8]=>[6,4,7,2,5,8,3,1]=>[1,2,3,1,1]=>11010011=>4 [3,5,7,4,2,1,6,8]=>[6,4,2,5,7,8,3,1]=>[1,1,4,1,1]=>11100011=>2 [3,5,7,4,1,2,6,8]=>[6,4,2,5,8,7,3,1]=>[1,1,3,1,1,1]=>11100111=>2 [3,5,4,7,1,6,8,2]=>[6,4,5,2,8,3,1,7]=>[1,2,2,1,2]=>11010110=>5 [3,5,4,7,1,2,6,8]=>[6,4,5,2,8,7,3,1]=>[1,2,2,1,1,1]=>11010111=>4 [3,5,4,7,2,1,6,8]=>[6,4,5,2,7,8,3,1]=>[1,2,3,1,1]=>11010011=>4 [3,5,4,2,7,1,6,8]=>[6,4,5,7,2,8,3,1]=>[1,3,2,1,1]=>11001011=>4 [3,2,5,4,7,1,6,8]=>[6,7,4,5,2,8,3,1]=>[2,2,2,1,1]=>10101011=>6 [3,5,4,7,2,1,8,6]=>[6,4,5,2,7,8,1,3]=>[1,2,3,2]=>11010010=>5 [3,5,4,7,1,2,8,6]=>[6,4,5,2,8,7,1,3]=>[1,2,2,1,2]=>11010110=>5 [5,7,6,3,1,8,4,2]=>[4,2,3,6,8,1,5,7]=>[1,4,3]=>11000100=>3 [5,7,6,3,1,8,2,4]=>[4,2,3,6,8,1,7,5]=>[1,4,2,1]=>11000101=>4 [3,5,7,4,1,2,8,6]=>[6,4,2,5,8,7,1,3]=>[1,1,3,1,2]=>11100110=>3 [3,5,7,4,2,1,8,6]=>[6,4,2,5,7,8,1,3]=>[1,1,4,2]=>11100010=>3 [3,2,5,7,4,1,8,6]=>[6,7,4,2,5,8,1,3]=>[2,1,3,2]=>10110010=>5 [3,2,5,7,1,4,8,6]=>[6,7,4,2,8,5,1,3]=>[2,1,2,1,2]=>10110110=>5 [3,5,2,7,1,4,8,6]=>[6,4,7,2,8,5,1,3]=>[1,2,2,1,2]=>11010110=>5 [3,5,7,2,1,4,8,6]=>[6,4,2,7,8,5,1,3]=>[1,1,3,1,2]=>11100110=>3 [3,5,7,1,4,2,8,6]=>[6,4,2,8,5,7,1,3]=>[1,1,2,2,2]=>11101010=>5 [3,7,5,2,1,8,6,4]=>[6,2,4,7,8,1,3,5]=>[1,4,3]=>11000100=>3 [3,7,2,5,1,8,6,4]=>[6,2,7,4,8,1,3,5]=>[1,2,2,3]=>11010100=>5 [3,2,7,5,1,8,6,4]=>[6,7,2,4,8,1,3,5]=>[2,3,3]=>10100100=>5 [3,2,7,5,1,8,4,6]=>[6,7,2,4,8,1,5,3]=>[2,3,2,1]=>10100101=>6 [3,7,2,5,1,8,4,6]=>[6,2,7,4,8,1,5,3]=>[1,2,2,2,1]=>11010101=>6 [3,7,5,2,1,8,4,6]=>[6,2,4,7,8,1,5,3]=>[1,4,2,1]=>11000101=>4 [6,3,2,7,4,1,8,5]=>[3,6,7,2,5,8,1,4]=>[3,3,2]=>10010010=>5 [2,1,7,5,8,4,6,3]=>[7,8,2,4,1,5,3,6]=>[2,2,2,2]=>10101010=>7 [2,7,3,6,8,4,1,5]=>[7,2,6,3,1,5,8,4]=>[1,2,1,3,1]=>11011001=>4 [2,1,8,3,4,7,5,6]=>[7,8,1,6,5,2,4,3]=>[2,2,1,2,1]=>10101101=>6 [5,1,7,2,4,8,3,6]=>[4,8,2,7,5,1,6,3]=>[2,2,1,2,1]=>10101101=>6 [3,4,2,6,7,1,8,5]=>[6,5,7,3,2,8,1,4]=>[1,2,1,2,2]=>11011010=>5 [3,5,8,7,2,1,6,4]=>[6,4,1,2,7,8,3,5]=>[1,1,4,2]=>11100010=>3 [1,3,4,5,6,7,9,2,8]=>[9,7,6,5,4,3,1,8,2]=>[1,1,1,1,1,1,2,1]=>111111101=>2 [2,3,4,5,6,7,1,9,8]=>[8,7,6,5,4,3,9,1,2]=>[1,1,1,1,1,2,2]=>111111010=>3 [2,1,4,5,6,7,8,9,3]=>[8,9,6,5,4,3,2,1,7]=>[2,1,1,1,1,1,2]=>101111110=>3 [3,1,4,5,6,7,8,2,9]=>[7,9,6,5,4,3,2,8,1]=>[2,1,1,1,1,2,1]=>101111101=>4 [5,8,3,4,1,7,6,2]=>[4,1,6,5,8,2,3,7]=>[1,2,2,3]=>11010100=>5 [5,8,7,2,4,1,6,3]=>[4,1,2,7,5,8,3,6]=>[1,3,2,2]=>11001010=>5 [3,8,6,4,1,7,5,2]=>[6,1,3,5,8,2,4,7]=>[1,4,3]=>11000100=>3 [4,3,5,6,8,1,7,2]=>[5,6,4,3,1,8,2,7]=>[2,1,1,2,2]=>10111010=>5 [3,7,6,4,1,8,5,2]=>[6,2,3,5,8,1,4,7]=>[1,4,3]=>11000100=>3 [3,7,4,1,8,6,5,2]=>[6,2,5,8,1,3,4,7]=>[1,3,4]=>11001000=>3 [3,8,4,1,7,6,5,2]=>[6,1,5,8,2,3,4,7]=>[1,3,4]=>11001000=>3 [3,2,7,6,1,5,4,8]=>[6,7,2,3,8,4,5,1]=>[2,3,2,1]=>10100101=>6 [3,2,8,7,6,1,5,4]=>[6,7,1,2,3,8,4,5]=>[2,4,2]=>10100010=>5 [5,7,8,2,4,1,6,3]=>[4,2,1,7,5,8,3,6]=>[1,1,2,2,2]=>11101010=>5 [4,2,5,8,1,6,7,3]=>[5,7,4,1,8,3,2,6]=>[2,1,2,1,2]=>10110110=>5 [4,2,5,8,1,7,3,6]=>[5,7,4,1,8,2,6,3]=>[2,1,2,2,1]=>10110101=>6 [5,8,2,4,1,6,3,7]=>[4,1,7,5,8,3,6,2]=>[1,2,2,2,1]=>11010101=>6 [8,4,2,6,5,1,3,7]=>[1,5,7,3,4,8,6,2]=>[3,3,1,1]=>10010011=>4 [3,2,6,8,1,5,4,7]=>[6,7,3,1,8,4,5,2]=>[2,1,2,2,1]=>10110101=>6 [8,3,2,5,6,1,4,7]=>[1,6,7,4,3,8,5,2]=>[3,1,2,1,1]=>10011011=>4 [3,2,8,6,7,1,5,4]=>[6,7,1,3,2,8,4,5]=>[2,2,2,2]=>10101010=>7 [3,2,6,8,7,1,5,4]=>[6,7,3,1,2,8,4,5]=>[2,1,3,2]=>10110010=>5 [3,2,6,7,1,5,4,8]=>[6,7,3,2,8,4,5,1]=>[2,1,2,2,1]=>10110101=>6 [8,7,3,2,5,6,1,4]=>[1,2,6,7,4,3,8,5]=>[4,1,2,1]=>10001101=>4 [7,2,8,1,5,3,6,4]=>[2,7,1,8,4,6,3,5]=>[2,2,2,2]=>10101010=>7 [8,4,2,7,5,1,3,6]=>[1,5,7,2,4,8,6,3]=>[3,3,1,1]=>10010011=>4 [7,4,2,8,5,1,3,6]=>[2,5,7,1,4,8,6,3]=>[3,3,1,1]=>10010011=>4 [7,2,4,1,8,3,6,5]=>[2,7,5,8,1,6,3,4]=>[2,2,2,2]=>10101010=>7 [3,2,8,5,7,1,4,6]=>[6,7,1,4,2,8,5,3]=>[2,2,2,1,1]=>10101011=>6 [2,6,5,7,1,8,3,4]=>[7,3,4,2,8,1,6,5]=>[1,2,2,2,1]=>11010101=>6 [2,5,1,8,7,4,3,6]=>[7,4,8,1,2,5,6,3]=>[1,2,4,1]=>11010001=>4 [8,1,4,6,3,5,2,7]=>[1,8,5,3,6,4,7,2]=>[2,1,2,2,1]=>10110101=>6 [8,3,5,4,1,6,2,7]=>[1,6,4,5,8,3,7,2]=>[2,3,2,1]=>10100101=>6 [8,6,3,4,1,5,2,7]=>[1,3,6,5,8,4,7,2]=>[3,2,2,1]=>10010101=>6 [5,4,7,6,8,2,3,1]=>[4,5,2,3,1,7,6,8]=>[2,2,2,2]=>10101010=>7 [4,1,8,2,3,7,6,5]=>[5,8,1,7,6,2,3,4]=>[2,2,1,3]=>10101100=>5 [2,1,8,5,3,4,7,6]=>[7,8,1,4,6,5,2,3]=>[2,3,1,2]=>10100110=>5 [5,2,4,6,8,7,3,1]=>[4,7,5,3,1,2,6,8]=>[2,1,1,4]=>10111000=>3 [1,6,8,3,4,5,7,2]=>[8,3,1,6,5,4,2,7]=>[1,1,2,1,1,2]=>11101110=>3 [5,7,4,8,6,1,3,2]=>[4,2,5,1,3,8,6,7]=>[1,2,3,2]=>11010010=>5 [5,4,2,6,7,8,1,3]=>[4,5,7,3,2,1,8,6]=>[3,1,1,2,1]=>10011101=>4 [6,4,2,7,3,5,8,1]=>[3,5,7,2,6,4,1,8]=>[3,2,1,2]=>10010110=>5 [7,4,1,8,3,5,6,2]=>[2,5,8,1,6,4,3,7]=>[3,2,1,2]=>10010110=>5 [6,5,4,8,7,3,1,2]=>[3,4,5,1,2,6,8,7]=>[3,4,1]=>10010001=>4 [8,7,4,2,1,3,6,5]=>[1,2,5,7,8,6,3,4]=>[5,1,2]=>10000110=>3 [8,7,1,3,2,5,6,4]=>[1,2,8,6,7,4,3,5]=>[3,2,1,2]=>10010110=>5 [6,8,2,3,1,7,5,4]=>[3,1,7,6,8,2,4,5]=>[1,2,2,3]=>11010100=>5 [7,4,3,2,6,8,5,1]=>[2,5,6,7,3,1,4,8]=>[4,1,3]=>10001100=>3 [2,7,4,3,8,5,6,1]=>[7,2,5,6,1,4,3,8]=>[1,3,2,2]=>11001010=>5 [8,3,7,2,1,5,6,4]=>[1,6,2,7,8,4,3,5]=>[2,3,1,2]=>10100110=>5 [5,7,8,2,4,3,1,6]=>[4,2,1,7,5,6,8,3]=>[1,1,2,3,1]=>11101001=>4 [8,4,7,3,2,6,1,5]=>[1,5,2,6,7,3,8,4]=>[2,3,2,1]=>10100101=>6 [8,3,1,6,7,4,2,5]=>[1,6,8,3,2,5,7,4]=>[3,1,3,1]=>10011001=>4 [3,2,5,7,4,8,1,6]=>[6,7,4,2,5,1,8,3]=>[2,1,2,2,1]=>10110101=>6 [8,2,7,3,4,1,5,6]=>[1,7,2,6,5,8,4,3]=>[2,2,2,1,1]=>10101011=>6 [7,1,6,3,5,8,2,4]=>[2,8,3,6,4,1,7,5]=>[2,2,1,2,1]=>10101101=>6 [2,8,5,6,7,1,4,3]=>[7,1,4,3,2,8,5,6]=>[1,2,1,2,2]=>11011010=>5 [1,5,2,7,8,6,4,3]=>[8,4,7,2,1,3,5,6]=>[1,2,1,4]=>11011000=>3 [2,6,8,5,1,4,7,3]=>[7,3,1,4,8,5,2,6]=>[1,1,3,1,2]=>11100110=>3 [1,4,2,8,6,5,7,3]=>[8,5,7,1,3,4,2,6]=>[1,2,3,2]=>11010010=>5 [3,5,1,6,8,7,2,4]=>[6,4,8,3,1,2,7,5]=>[1,2,1,3,1]=>11011001=>4 [5,7,6,2,1,3,8,4]=>[4,2,3,7,8,6,1,5]=>[1,4,1,2]=>11000110=>3 [2,5,8,7,4,1,6,3]=>[7,4,1,2,5,8,3,6]=>[1,1,4,2]=>11100010=>3 [4,1,7,5,2,6,8,3]=>[5,8,2,4,7,3,1,6]=>[2,3,1,2]=>10100110=>5 [7,6,2,4,5,1,8,3]=>[2,3,7,5,4,8,1,6]=>[3,1,2,2]=>10011010=>5 [7,3,4,2,5,8,6,1]=>[2,6,5,7,4,1,3,8]=>[2,2,1,3]=>10101100=>5 [8,7,4,2,5,1,6,3]=>[1,2,5,7,4,8,3,6]=>[4,2,2]=>10001010=>5 [8,1,4,5,2,6,7,3]=>[1,8,5,4,7,3,2,6]=>[2,1,2,1,2]=>10110110=>5 [5,2,4,8,6,7,1,3]=>[4,7,5,1,3,2,8,6]=>[2,1,2,2,1]=>10110101=>6 [8,5,6,2,1,3,7,4]=>[1,4,3,7,8,6,2,5]=>[2,3,1,2]=>10100110=>5 [4,2,1,5,6,7,8,3]=>[5,7,8,4,3,2,1,6]=>[3,1,1,1,2]=>10011110=>3 [3,4,6,5,1,7,8,2]=>[6,5,3,4,8,2,1,7]=>[1,1,3,1,2]=>11100110=>3 [7,3,5,2,4,6,1,8]=>[2,6,4,7,5,3,8,1]=>[2,2,1,2,1]=>10101101=>6 [5,3,7,2,4,6,1,8]=>[4,6,2,7,5,3,8,1]=>[2,2,1,2,1]=>10101101=>6 [3,7,5,2,4,6,1,8]=>[6,2,4,7,5,3,8,1]=>[1,3,1,2,1]=>11001101=>4 [5,7,3,2,4,6,1,8]=>[4,2,6,7,5,3,8,1]=>[1,3,1,2,1]=>11001101=>4 [1,5,3,2,4,7,6,8]=>[8,4,6,7,5,2,3,1]=>[1,3,1,2,1]=>11001101=>4 [1,5,3,2,7,4,6,8]=>[8,4,6,7,2,5,3,1]=>[1,3,2,1,1]=>11001011=>4 [5,7,3,2,1,4,6,8]=>[4,2,6,7,8,5,3,1]=>[1,4,1,1,1]=>11000111=>2 [5,7,3,2,4,1,6,8]=>[4,2,6,7,5,8,3,1]=>[1,3,2,1,1]=>11001011=>4 [3,7,2,5,4,1,6,8]=>[6,2,7,4,5,8,3,1]=>[1,2,3,1,1]=>11010011=>4 [5,1,3,2,4,7,6,8]=>[4,8,6,7,5,2,3,1]=>[2,2,1,2,1]=>10101101=>6 [5,1,3,2,7,4,6,8]=>[4,8,6,7,2,5,3,1]=>[2,2,2,1,1]=>10101011=>6 [7,1,3,2,5,4,6,8]=>[2,8,6,7,4,5,3,1]=>[2,2,2,1,1]=>10101011=>6 [1,7,3,2,5,4,6,8]=>[8,2,6,7,4,5,3,1]=>[1,3,2,1,1]=>11001011=>4 [7,1,3,5,2,4,6,8]=>[2,8,6,4,7,5,3,1]=>[2,1,2,1,1,1]=>10110111=>4 [5,1,3,7,2,4,6,8]=>[4,8,6,2,7,5,3,1]=>[2,1,2,1,1,1]=>10110111=>4 [3,2,7,5,1,4,6,8]=>[6,7,2,4,8,5,3,1]=>[2,3,1,1,1]=>10100111=>4 [3,7,5,1,2,4,6,8]=>[6,2,4,8,7,5,3,1]=>[1,3,1,1,1,1]=>11001111=>2 [5,7,3,1,2,4,6,8]=>[4,2,6,8,7,5,3,1]=>[1,3,1,1,1,1]=>11001111=>2 [1,5,3,7,2,4,6,8]=>[8,4,6,2,7,5,3,1]=>[1,2,2,1,1,1]=>11010111=>4 [5,3,2,7,4,1,6,8]=>[4,6,7,2,5,8,3,1]=>[3,3,1,1]=>10010011=>4 [5,3,2,4,7,1,6,8]=>[4,6,7,5,2,8,3,1]=>[3,1,2,1,1]=>10011011=>4 [5,3,2,1,4,7,6,8]=>[4,6,7,8,5,2,3,1]=>[4,1,2,1]=>10001101=>4 [5,3,2,1,7,4,6,8]=>[4,6,7,8,2,5,3,1]=>[4,2,1,1]=>10001011=>4 [1,3,2,7,5,4,6,8]=>[8,6,7,2,4,5,3,1]=>[1,2,3,1,1]=>11010011=>4 [1,3,7,2,5,4,6,8]=>[8,6,2,7,4,5,3,1]=>[1,1,2,2,1,1]=>11101011=>4 [7,3,1,2,5,4,6,8]=>[2,6,8,7,4,5,3,1]=>[3,1,2,1,1]=>10011011=>4 [5,3,1,2,7,4,6,8]=>[4,6,8,7,2,5,3,1]=>[3,1,2,1,1]=>10011011=>4 [5,3,1,2,4,7,6,8]=>[4,6,8,7,5,2,3,1]=>[3,1,1,2,1]=>10011101=>4 [3,2,5,1,4,7,6,8]=>[6,7,4,8,5,2,3,1]=>[2,2,1,2,1]=>10101101=>6 [7,3,1,5,2,4,6,8]=>[2,6,8,4,7,5,3,1]=>[3,2,1,1,1]=>10010111=>4 [1,3,7,5,2,4,6,8]=>[8,6,2,4,7,5,3,1]=>[1,1,3,1,1,1]=>11100111=>2 [7,5,1,3,2,4,6,8]=>[2,4,8,6,7,5,3,1]=>[3,2,1,1,1]=>10010111=>4 [5,7,1,3,2,4,6,8]=>[4,2,8,6,7,5,3,1]=>[1,2,2,1,1,1]=>11010111=>4 [3,7,1,5,2,4,6,8]=>[6,2,8,4,7,5,3,1]=>[1,2,2,1,1,1]=>11010111=>4 [3,7,1,2,5,4,6,8]=>[6,2,8,7,4,5,3,1]=>[1,2,1,2,1,1]=>11011011=>4 [3,7,2,1,5,4,6,8]=>[6,2,7,8,4,5,3,1]=>[1,3,2,1,1]=>11001011=>4 [3,2,1,7,5,4,6,8]=>[6,7,8,2,4,5,3,1]=>[3,3,1,1]=>10010011=>4 [3,1,2,7,5,4,6,8]=>[6,8,7,2,4,5,3,1]=>[2,1,3,1,1]=>10110011=>4 [3,1,7,2,5,4,6,8]=>[6,8,2,7,4,5,3,1]=>[2,2,2,1,1]=>10101011=>6 [3,1,7,5,2,4,6,8]=>[6,8,2,4,7,5,3,1]=>[2,3,1,1,1]=>10100111=>4 [7,1,5,3,2,4,6,8]=>[2,8,4,6,7,5,3,1]=>[2,3,1,1,1]=>10100111=>4 [1,7,5,3,2,4,6,8]=>[8,2,4,6,7,5,3,1]=>[1,4,1,1,1]=>11000111=>2 [1,2,3,4,5,7,9,6,8]=>[9,8,7,6,5,3,1,4,2]=>[1,1,1,1,1,1,2,1]=>111111101=>2 [1,2,3,4,6,9,5,7,8]=>[9,8,7,6,4,1,5,3,2]=>[1,1,1,1,1,2,1,1]=>111111011=>2 [1,2,3,5,9,4,6,7,8]=>[9,8,7,5,1,6,4,3,2]=>[1,1,1,1,2,1,1,1]=>111110111=>2 [1,2,4,9,3,5,6,7,8]=>[9,8,6,1,7,5,4,3,2]=>[1,1,1,2,1,1,1,1]=>111101111=>2 [1,3,9,2,4,5,6,7,8]=>[9,7,1,8,6,5,4,3,2]=>[1,1,2,1,1,1,1,1]=>111011111=>2 [1,9,8,7,6,2,5,4,3]=>[9,1,2,3,4,8,5,6,7]=>[1,5,3]=>110000100=>3 [2,9,8,7,1,6,5,4,3]=>[8,1,2,3,9,4,5,6,7]=>[1,4,4]=>110001000=>3 [1,9,8,2,7,6,5,4,3]=>[9,1,2,8,3,4,5,6,7]=>[1,3,5]=>110010000=>3 [1,9,2,8,7,6,5,4,3]=>[9,1,8,2,3,4,5,6,7]=>[1,2,6]=>110100000=>3 [3,9,8,7,6,5,2,1,4]=>[7,1,2,3,4,5,8,9,6]=>[1,7,1]=>110000001=>2 [1,8,7,4,2,6,5,3]=>[8,1,2,5,7,3,4,6]=>[1,4,3]=>11000100=>3 [2,8,5,1,7,6,4,3]=>[7,1,4,8,2,3,5,6]=>[1,3,4]=>11001000=>3 [6,9,8,2,1,7,5,4,3]=>[4,1,2,8,9,3,5,6,7]=>[1,4,4]=>110001000=>3 [6,8,5,1,2,7,4,3]=>[3,1,4,8,7,2,5,6]=>[1,3,1,3]=>11001100=>3 [8,1,2,9,7,6,5,4,3]=>[2,9,8,1,3,4,5,6,7]=>[2,1,6]=>101100000=>3 [1,9,8,7,6,3,2,5,4]=>[9,1,2,3,4,7,8,5,6]=>[1,6,2]=>110000010=>3 [4,9,8,7,6,3,2,1,5]=>[6,1,2,3,4,7,8,9,5]=>[1,7,1]=>110000001=>2 [2,8,1,4,7,6,5,3]=>[7,1,8,5,2,3,4,6]=>[1,2,1,4]=>11011000=>3 [1,8,7,4,3,2,6,5]=>[8,1,2,5,6,7,3,4]=>[1,5,2]=>11000010=>3 [1,8,5,4,2,7,6,3]=>[8,1,4,5,7,2,3,6]=>[1,4,3]=>11000100=>3 [7,9,6,2,1,8,5,4,3]=>[3,1,4,8,9,2,5,6,7]=>[1,4,4]=>110001000=>3 [8,7,1,2,9,6,5,4,3]=>[2,3,9,8,1,4,5,6,7]=>[3,1,5]=>100110000=>3 [7,5,3,4,2,8,1,6]=>[2,4,6,5,7,1,8,3]=>[3,2,2,1]=>10010101=>6 [8,5,3,6,2,4,7,1]=>[1,4,6,3,7,5,2,8]=>[3,2,1,2]=>10010110=>5 [8,5,6,3,7,4,2,1]=>[1,4,3,6,2,5,7,8]=>[2,2,4]=>10101000=>5 [8,5,6,2,7,4,3,1]=>[1,4,3,7,2,5,6,8]=>[2,2,4]=>10101000=>5 [8,7,6,3,4,1,5,2]=>[1,2,3,6,5,8,4,7]=>[4,2,2]=>10001010=>5 [1,7,2,3,6,8,5,4]=>[8,2,7,6,3,1,4,5]=>[1,2,1,1,3]=>11011100=>3 [3,5,6,4,8,2,7,1]=>[6,4,3,5,1,7,2,8]=>[1,1,2,2,2]=>11101010=>5 [3,5,1,4,8,2,7,6]=>[6,4,8,5,1,7,2,3]=>[1,2,1,2,2]=>11011010=>5 [1,7,5,4,8,2,6,3]=>[8,2,4,5,1,7,3,6]=>[1,3,2,2]=>11001010=>5 [3,7,5,1,6,4,8,2]=>[6,2,4,8,3,5,1,7]=>[1,3,2,2]=>11001010=>5 [2,7,5,4,8,1,3,6]=>[7,2,4,5,1,8,6,3]=>[1,3,2,1,1]=>11001011=>4 [2,7,5,4,8,6,1,3]=>[7,2,4,5,1,3,8,6]=>[1,3,3,1]=>11001001=>4 [2,5,1,4,8,7,3,6]=>[7,4,8,5,1,2,6,3]=>[1,2,1,3,1]=>11011001=>4 [3,6,4,2,8,7,1,5]=>[6,3,5,7,1,2,8,4]=>[1,3,3,1]=>11001001=>4 [3,5,2,4,8,1,6,7]=>[6,4,7,5,1,8,3,2]=>[1,2,1,2,1,1]=>11011011=>4 [3,5,6,4,8,1,2,7]=>[6,4,3,5,1,8,7,2]=>[1,1,2,2,1,1]=>11101011=>4 [1,5,6,4,8,7,2,3]=>[8,4,3,5,1,2,7,6]=>[1,1,2,3,1]=>11101001=>4 [3,6,4,5,8,7,2,1]=>[6,3,5,4,1,2,7,8]=>[1,2,1,4]=>11011000=>3 [1,6,4,3,8,5,2,7]=>[8,3,5,6,1,4,7,2]=>[1,3,3,1]=>11001001=>4 [7,1,3,4,5,8,2,6]=>[2,8,6,5,4,1,7,3]=>[2,1,1,1,2,1]=>10111101=>4 [7,6,1,4,5,3,8,2]=>[2,3,8,5,4,6,1,7]=>[3,1,2,2]=>10011010=>5 [7,6,1,3,5,4,8,2]=>[2,3,8,6,4,5,1,7]=>[3,1,2,2]=>10011010=>5 [7,1,3,2,5,8,4,6]=>[2,8,6,7,4,1,5,3]=>[2,2,1,2,1]=>10101101=>6 [7,6,5,8,2,4,3,1]=>[2,3,4,1,7,5,6,8]=>[3,2,3]=>10010100=>5 [7,6,5,8,3,1,4,2]=>[2,3,4,1,6,8,5,7]=>[3,3,2]=>10010010=>5 [2,6,4,3,8,1,7,5]=>[7,3,5,6,1,8,2,4]=>[1,3,2,2]=>11001010=>5 [2,6,4,3,8,5,7,1]=>[7,3,5,6,1,4,2,8]=>[1,3,2,2]=>11001010=>5 [7,2,3,1,5,8,6,4]=>[2,7,6,8,4,1,3,5]=>[2,2,1,3]=>10101100=>5 [7,1,5,6,3,8,4,2]=>[2,8,4,3,6,1,5,7]=>[2,1,2,3]=>10110100=>5 [7,3,6,5,1,4,8,2]=>[2,6,3,4,8,5,1,7]=>[2,3,1,2]=>10100110=>5 [7,2,3,1,4,8,6,5]=>[2,7,6,8,5,1,3,4]=>[2,2,1,3]=>10101100=>5 [7,2,3,5,4,8,6,1]=>[2,7,6,4,5,1,3,8]=>[2,1,2,3]=>10110100=>5 [2,5,6,4,8,3,1,7]=>[7,4,3,5,1,6,8,2]=>[1,1,2,3,1]=>11101001=>4 [3,5,6,1,4,7,8,2]=>[6,4,3,8,5,2,1,7]=>[1,1,2,1,1,2]=>11101110=>3 [7,6,1,3,4,5,8,2]=>[2,3,8,6,5,4,1,7]=>[3,1,1,1,2]=>10011110=>3 [7,1,3,2,4,8,5,6]=>[2,8,6,7,5,1,4,3]=>[2,2,1,2,1]=>10101101=>6 [7,6,1,5,3,4,8,2]=>[2,3,8,4,6,5,1,7]=>[3,2,1,2]=>10010110=>5 [7,6,1,5,4,3,8,2]=>[2,3,8,4,5,6,1,7]=>[3,3,2]=>10010010=>5 [1,6,4,5,8,3,2,7]=>[8,3,5,4,1,6,7,2]=>[1,2,1,3,1]=>11011001=>4 [7,6,5,8,1,3,2,4]=>[2,3,4,1,8,6,7,5]=>[3,2,2,1]=>10010101=>6 [3,4,6,8,7,2,1,5]=>[6,5,3,1,2,7,8,4]=>[1,1,1,4,1]=>11110001=>2 [3,5,6,8,2,1,7,4]=>[6,4,3,1,7,8,2,5]=>[1,1,1,3,2]=>11110010=>3 [4,2,1,5,3,7,8,6]=>[5,7,8,4,6,2,1,3]=>[3,2,1,2]=>10010110=>5 [4,2,5,6,3,1,8,7]=>[5,7,4,3,6,8,1,2]=>[2,1,3,2]=>10110010=>5 [3,5,6,8,1,7,2,4]=>[6,4,3,1,8,2,7,5]=>[1,1,1,2,2,1]=>11110101=>4 [4,1,5,6,3,2,8,7]=>[5,8,4,3,6,7,1,2]=>[2,1,3,2]=>10110010=>5 [4,5,3,1,7,2,8,6]=>[5,4,6,8,2,7,1,3]=>[1,3,2,2]=>11001010=>5 [4,1,3,5,2,7,8,6]=>[5,8,6,4,7,2,1,3]=>[2,1,2,1,2]=>10110110=>5 [2,5,4,7,3,8,6,1]=>[7,4,5,2,6,1,3,8]=>[1,2,2,3]=>11010100=>5 [3,5,7,1,8,4,2,6]=>[6,4,2,8,1,5,7,3]=>[1,1,2,3,1]=>11101001=>4 [4,1,5,3,2,7,8,6]=>[5,8,4,6,7,2,1,3]=>[2,3,1,2]=>10100110=>5 [4,5,3,7,1,2,8,6]=>[5,4,6,2,8,7,1,3]=>[1,2,2,1,2]=>11010110=>5 [4,3,6,1,2,7,5,8]=>[5,6,3,8,7,2,4,1]=>[2,2,1,2,1]=>10101101=>6 [5,1,3,2,4,6,7,8]=>[4,8,6,7,5,3,2,1]=>[2,2,1,1,1,1]=>10101111=>4 [3,6,1,7,4,5,2,8]=>[6,3,8,2,5,4,7,1]=>[1,2,2,2,1]=>11010101=>6 [5,1,3,4,2,6,7,8]=>[4,8,6,5,7,3,2,1]=>[2,1,2,1,1,1]=>10110111=>4 [5,3,1,4,2,6,7,8]=>[4,6,8,5,7,3,2,1]=>[3,2,1,1,1]=>10010111=>4 [4,5,2,3,7,1,8,6]=>[5,4,7,6,2,8,1,3]=>[1,2,1,2,2]=>11011010=>5 [4,2,6,1,3,7,5,8]=>[5,7,3,8,6,2,4,1]=>[2,2,1,2,1]=>10101101=>6 [4,6,2,1,3,7,5,8]=>[5,3,7,8,6,2,4,1]=>[1,3,1,2,1]=>11001101=>4 [3,6,2,1,7,4,8,5]=>[6,3,7,8,2,5,1,4]=>[1,3,2,2]=>11001010=>5 [3,1,4,7,6,5,2,8]=>[6,8,5,2,3,4,7,1]=>[2,1,4,1]=>10110001=>4 [3,6,2,7,1,5,8,4]=>[6,3,7,2,8,4,1,5]=>[1,2,2,1,2]=>11010110=>5 [4,6,2,7,1,3,5,8]=>[5,3,7,2,8,6,4,1]=>[1,2,2,1,1,1]=>11010111=>4 [3,5,7,1,8,2,6,4]=>[6,4,2,8,1,7,3,5]=>[1,1,2,2,2]=>11101010=>5 [5,1,4,2,3,6,7,8]=>[4,8,5,7,6,3,2,1]=>[2,2,1,1,1,1]=>10101111=>4 [3,6,1,7,2,5,8,4]=>[6,3,8,2,7,4,1,5]=>[1,2,2,1,2]=>11010110=>5 [2,6,5,3,4,7,8,1]=>[7,3,4,6,5,2,1,8]=>[1,3,1,1,2]=>11001110=>3 [3,6,1,7,5,4,2,8]=>[6,3,8,2,4,5,7,1]=>[1,2,4,1]=>11010001=>4 [5,1,4,3,2,6,7,8]=>[4,8,5,6,7,3,2,1]=>[2,3,1,1,1]=>10100111=>4 [5,4,1,3,2,6,7,8]=>[4,5,8,6,7,3,2,1]=>[3,2,1,1,1]=>10010111=>4 [6,4,2,5,3,8,1,7]=>[3,5,7,4,6,1,8,2]=>[3,2,2,1]=>10010101=>6 [4,6,2,3,5,1,8,7]=>[5,3,7,6,4,8,1,2]=>[1,2,1,2,2]=>11011010=>5 [6,2,4,5,1,8,3,7]=>[3,7,5,4,8,1,6,2]=>[2,1,2,2,1]=>10110101=>6 [8,2,6,7,1,4,5,3]=>[1,7,3,2,8,5,4,6]=>[2,1,2,1,2]=>10110110=>5 [8,2,6,7,4,1,5,3]=>[1,7,3,2,5,8,4,6]=>[2,1,3,2]=>10110010=>5 [4,6,2,3,5,8,1,7]=>[5,3,7,6,4,1,8,2]=>[1,2,1,1,2,1]=>11011101=>4 [2,6,4,1,5,8,3,7]=>[7,3,5,8,4,1,6,2]=>[1,3,1,2,1]=>11001101=>4 [2,8,1,6,7,4,5,3]=>[7,1,8,3,2,5,4,6]=>[1,2,1,2,2]=>11011010=>5 [6,8,4,5,7,2,3,1]=>[3,1,5,4,2,7,6,8]=>[1,2,1,2,2]=>11011010=>5 [2,8,6,1,4,7,5,3]=>[7,1,3,8,5,2,4,6]=>[1,3,1,3]=>11001100=>3 [2,8,1,6,4,7,5,3]=>[7,1,8,3,5,2,4,6]=>[1,2,2,3]=>11010100=>5 [2,6,1,4,8,5,3,7]=>[7,3,8,5,1,4,6,2]=>[1,2,1,3,1]=>11011001=>4 [6,4,5,2,8,3,1,7]=>[3,5,4,7,1,6,8,2]=>[2,2,3,1]=>10101001=>6 [4,2,3,6,1,8,5,7]=>[5,7,6,3,8,1,4,2]=>[2,1,2,2,1]=>10110101=>6 [4,2,3,1,6,8,5,7]=>[5,7,6,8,3,1,4,2]=>[2,2,1,2,1]=>10101101=>6 [4,2,3,8,6,1,7,5]=>[5,7,6,1,3,8,2,4]=>[2,1,3,2]=>10110010=>5 [6,4,5,8,2,3,7,1]=>[3,5,4,1,7,6,2,8]=>[2,1,2,1,2]=>10110110=>5 [8,6,7,2,4,5,1,3]=>[1,3,2,7,5,4,8,6]=>[2,2,1,2,1]=>10101101=>6 [6,4,8,5,2,3,7,1]=>[3,5,1,4,7,6,2,8]=>[2,3,1,2]=>10100110=>5 [4,2,8,3,1,6,7,5]=>[5,7,1,6,8,3,2,4]=>[2,3,1,2]=>10100110=>5 [2,4,8,1,3,6,7,5]=>[7,5,1,8,6,3,2,4]=>[1,1,2,1,1,2]=>11101110=>3 [2,4,1,8,3,6,7,5]=>[7,5,8,1,6,3,2,4]=>[1,2,2,1,2]=>11010110=>5 [2,1,4,8,6,3,7,5]=>[7,8,5,1,3,6,2,4]=>[2,1,3,2]=>10110010=>5 [6,4,8,2,5,3,7,1]=>[3,5,1,7,4,6,2,8]=>[2,2,2,2]=>10101010=>7 [8,6,2,4,7,5,1,3]=>[1,3,7,5,2,4,8,6]=>[3,1,3,1]=>10011001=>4 [4,6,8,2,3,5,7,1]=>[5,3,1,7,6,4,2,8]=>[1,1,2,1,1,2]=>11101110=>3 [2,6,8,4,1,5,7,3]=>[7,3,1,5,8,4,2,6]=>[1,1,3,1,2]=>11100110=>3 [2,6,8,1,4,5,7,3]=>[7,3,1,8,5,4,2,6]=>[1,1,2,1,1,2]=>11101110=>3 [2,1,6,8,4,5,7,3]=>[7,8,3,1,5,4,2,6]=>[2,1,2,1,2]=>10110110=>5 [2,8,1,4,6,7,3,5]=>[7,1,8,5,3,2,6,4]=>[1,2,1,1,2,1]=>11011101=>4 [4,8,6,2,3,7,5,1]=>[5,1,3,7,6,2,4,8]=>[1,3,1,3]=>11001100=>3 [8,4,2,6,7,3,1,5]=>[1,5,7,3,2,6,8,4]=>[3,1,3,1]=>10011001=>4 [7,6,4,5,1,3,8,2]=>[2,3,5,4,8,6,1,7]=>[3,2,1,2]=>10010110=>5 [1,6,7,5,3,4,8,2]=>[8,3,2,4,6,5,1,7]=>[1,1,3,1,2]=>11100110=>3 [6,2,5,8,3,4,7,1]=>[3,7,4,1,6,5,2,8]=>[2,1,2,1,2]=>10110110=>5 [6,2,3,8,7,4,1,5]=>[3,7,6,1,2,5,8,4]=>[2,1,4,1]=>10110001=>4 [2,5,3,7,1,8,4,6]=>[7,4,6,2,8,1,5,3]=>[1,2,2,2,1]=>11010101=>6 [5,2,8,3,1,4,6,7]=>[4,7,1,6,8,5,3,2]=>[2,3,1,1,1]=>10100111=>4 [5,8,1,4,3,6,2,7]=>[4,1,8,5,6,3,7,2]=>[1,2,2,2,1]=>11010101=>6 [5,8,4,1,3,7,6,2]=>[4,1,5,8,6,2,3,7]=>[1,3,1,3]=>11001100=>3 [6,4,5,3,8,1,7,2]=>[3,5,4,6,1,8,2,7]=>[2,2,2,2]=>10101010=>7 [4,5,1,3,6,2,8,7]=>[5,4,8,6,3,7,1,2]=>[1,2,1,2,2]=>11011010=>5 [4,2,6,5,1,7,3,8]=>[5,7,3,4,8,2,6,1]=>[2,3,2,1]=>10100101=>6 [3,4,7,6,8,1,2,5]=>[6,5,2,3,1,8,7,4]=>[1,1,2,2,1,1]=>11101011=>4 [3,4,6,2,5,8,7,1]=>[6,5,3,7,4,1,2,8]=>[1,1,2,1,3]=>11101100=>3 [3,5,2,4,6,1,8,7]=>[6,4,7,5,3,8,1,2]=>[1,2,1,2,2]=>11011010=>5 [4,2,5,1,6,8,3,7]=>[5,7,4,8,3,1,6,2]=>[2,2,1,2,1]=>10101101=>6 [1,8,2,3,6,5,7,4]=>[8,1,7,6,3,4,2,5]=>[1,2,1,2,2]=>11011010=>5 [4,2,8,3,5,7,1,6]=>[5,7,1,6,4,2,8,3]=>[2,2,1,2,1]=>10101101=>6 [4,3,8,6,5,7,1,2]=>[5,6,1,3,4,2,8,7]=>[2,3,2,1]=>10100101=>6 [1,3,7,2,6,5,8,4]=>[8,6,2,7,3,4,1,5]=>[1,1,2,2,2]=>11101010=>5 [1,3,6,4,2,5,8,7]=>[8,6,3,5,7,4,1,2]=>[1,1,3,1,2]=>11100110=>3 [1,5,4,7,3,6,8,2]=>[8,4,5,2,6,3,1,7]=>[1,2,2,1,2]=>11010110=>5 [5,2,3,8,4,1,7,6]=>[4,7,6,1,5,8,2,3]=>[2,1,3,2]=>10110010=>5 [7,5,3,4,8,2,1,6]=>[2,4,6,5,1,7,8,3]=>[3,1,3,1]=>10011001=>4 [7,4,3,8,5,2,6,1]=>[2,5,6,1,4,7,3,8]=>[3,3,2]=>10010010=>5 [4,6,2,7,3,1,5,8]=>[5,3,7,2,6,8,4,1]=>[1,2,3,1,1]=>11010011=>4 [1,5,3,7,6,8,4,2]=>[8,4,6,2,3,1,5,7]=>[1,2,2,3]=>11010100=>5 [1,6,3,7,8,2,4,5]=>[8,3,6,2,1,7,5,4]=>[1,2,1,2,1,1]=>11011011=>4 [1,4,3,7,8,5,2,6]=>[8,5,6,2,1,4,7,3]=>[1,2,1,3,1]=>11011001=>4 [4,2,6,5,7,8,3,1]=>[5,7,3,4,2,1,6,8]=>[2,2,1,3]=>10101100=>5 [4,2,6,7,5,8,1,3]=>[5,7,3,2,4,1,8,6]=>[2,1,2,2,1]=>10110101=>6 [3,2,4,7,8,5,1,6]=>[6,7,5,2,1,4,8,3]=>[2,1,1,3,1]=>10111001=>4 [3,2,6,7,8,1,4,5]=>[6,7,3,2,1,8,5,4]=>[2,1,1,2,1,1]=>10111011=>4 [5,1,8,3,6,4,7,2]=>[4,8,1,6,3,5,2,7]=>[2,2,2,2]=>10101010=>7 [3,6,8,5,7,2,1,4]=>[6,3,1,4,2,7,8,5]=>[1,1,2,3,1]=>11101001=>4 [5,1,3,8,7,6,4,2]=>[4,8,6,1,2,3,5,7]=>[2,1,5]=>10110000=>3 [3,4,8,1,7,6,2,5]=>[6,5,1,8,2,3,7,4]=>[1,1,2,3,1]=>11101001=>4 [4,7,6,8,5,1,3,2]=>[5,2,3,1,4,8,6,7]=>[1,2,3,2]=>11010010=>5 [6,7,4,8,5,1,3,2]=>[3,2,5,1,4,8,6,7]=>[1,2,3,2]=>11010010=>5 [1,8,4,6,7,2,5,3]=>[8,1,5,3,2,7,4,6]=>[1,2,1,2,2]=>11011010=>5 [5,2,8,3,7,1,6,4]=>[4,7,1,6,2,8,3,5]=>[2,2,2,2]=>10101010=>7 [7,4,5,8,6,1,3,2]=>[2,5,4,1,3,8,6,7]=>[2,1,3,2]=>10110010=>5 [4,3,6,8,7,1,5,2]=>[5,6,3,1,2,8,4,7]=>[2,1,3,2]=>10110010=>5 [6,4,8,3,1,7,5,2]=>[3,5,1,6,8,2,4,7]=>[2,3,3]=>10100100=>5 [3,6,5,8,7,1,4,2]=>[6,3,4,1,2,8,5,7]=>[1,2,3,2]=>11010010=>5 [5,6,4,8,2,7,3,1]=>[4,3,5,1,7,2,6,8]=>[1,2,2,3]=>11010100=>5 [5,6,8,3,1,7,4,2]=>[4,3,1,6,8,2,5,7]=>[1,1,3,3]=>11100100=>3 [4,6,3,8,2,7,5,1]=>[5,3,6,1,7,2,4,8]=>[1,2,2,3]=>11010100=>5 [6,5,8,1,3,7,4,2]=>[3,4,1,8,6,2,5,7]=>[2,2,1,3]=>10101100=>5 [6,5,3,8,2,7,4,1]=>[3,4,6,1,7,2,5,8]=>[3,2,3]=>10010100=>5 [6,4,8,1,3,7,5,2]=>[3,5,1,8,6,2,4,7]=>[2,2,1,3]=>10101100=>5 [6,2,8,3,4,7,5,1]=>[3,7,1,6,5,2,4,8]=>[2,2,1,3]=>10101100=>5 [7,6,3,1,4,2,5,8]=>[2,3,6,8,5,7,4,1]=>[4,2,1,1]=>10001011=>4 [1,5,4,3,7,8,2,6]=>[8,4,5,6,2,1,7,3]=>[1,3,1,2,1]=>11001101=>4 [7,8,4,2,5,3,1,6]=>[2,1,5,7,4,6,8,3]=>[1,3,3,1]=>11001001=>4 [4,2,7,8,5,3,1,6]=>[5,7,2,1,4,6,8,3]=>[2,1,4,1]=>10110001=>4 [4,2,5,3,1,7,8,6]=>[5,7,4,6,8,2,1,3]=>[2,3,1,2]=>10100110=>5 [4,2,8,7,6,3,1,5]=>[5,7,1,2,3,6,8,4]=>[2,5,1]=>10100001=>4 [4,2,7,6,3,1,5,8]=>[5,7,2,3,6,8,4,1]=>[2,4,1,1]=>10100011=>4 [6,3,1,7,5,2,4,8]=>[3,6,8,2,4,7,5,1]=>[3,3,1,1]=>10010011=>4 [6,3,1,8,7,5,2,4]=>[3,6,8,1,2,4,7,5]=>[3,4,1]=>10010001=>4 [8,6,3,1,7,5,2,4]=>[1,3,6,8,2,4,7,5]=>[4,3,1]=>10001001=>4 [4,2,7,6,3,1,8,5]=>[5,7,2,3,6,8,1,4]=>[2,4,2]=>10100010=>5 [7,6,3,1,8,4,2,5]=>[2,3,6,8,1,5,7,4]=>[4,3,1]=>10001001=>4 [7,6,4,2,1,8,3,5]=>[2,3,5,7,8,1,6,4]=>[5,2,1]=>10000101=>4 [1,8,2,7,6,4,3,5]=>[8,1,7,2,3,5,6,4]=>[1,2,4,1]=>11010001=>4 [8,3,5,7,6,4,2,1]=>[1,6,4,2,3,5,7,8]=>[2,1,5]=>10110000=>3 [8,4,2,5,7,6,3,1]=>[1,5,7,4,2,3,6,8]=>[3,1,4]=>10011000=>3 [7,5,2,4,8,6,3,1]=>[2,4,7,5,1,3,6,8]=>[3,1,4]=>10011000=>3 [8,7,5,2,4,6,3,1]=>[1,2,4,7,5,3,6,8]=>[4,1,3]=>10001100=>3 [7,5,2,4,6,3,1,8]=>[2,4,7,5,3,6,8,1]=>[3,1,3,1]=>10011001=>4 [5,2,8,6,3,7,4,1]=>[4,7,1,3,6,2,5,8]=>[2,3,3]=>10100100=>5 [8,4,7,5,2,6,3,1]=>[1,5,2,4,7,3,6,8]=>[2,3,3]=>10100100=>5 [8,3,6,4,7,5,2,1]=>[1,6,3,5,2,4,7,8]=>[2,2,4]=>10101000=>5 [1,8,2,7,5,3,6,4]=>[8,1,7,2,4,6,3,5]=>[1,2,3,2]=>11010010=>5 [7,5,2,1,8,3,6,4]=>[2,4,7,8,1,6,3,5]=>[4,2,2]=>10001010=>5 [7,5,2,6,3,1,8,4]=>[2,4,7,3,6,8,1,5]=>[3,3,2]=>10010010=>5 [5,2,7,4,1,8,6,3]=>[4,7,2,5,8,1,3,6]=>[2,3,3]=>10100100=>5 [5,2,8,7,4,1,6,3]=>[4,7,1,2,5,8,3,6]=>[2,4,2]=>10100010=>5 [8,7,4,1,5,2,6,3]=>[1,2,5,8,4,7,3,6]=>[4,2,2]=>10001010=>5 [7,4,1,5,2,8,6,3]=>[2,5,8,4,7,1,3,6]=>[3,2,3]=>10010100=>5 [7,6,3,1,4,2,8,5]=>[2,3,6,8,5,7,1,4]=>[4,2,2]=>10001010=>5 [7,5,2,8,6,3,1,4]=>[2,4,7,1,3,6,8,5]=>[3,4,1]=>10010001=>4 [8,7,5,2,6,3,1,4]=>[1,2,4,7,3,6,8,5]=>[4,3,1]=>10001001=>4 [7,5,2,1,3,6,4,8]=>[2,4,7,8,6,3,5,1]=>[4,1,2,1]=>10001101=>4 [8,7,5,2,1,3,6,4]=>[1,2,4,7,8,6,3,5]=>[5,1,2]=>10000110=>3 [7,5,2,1,3,8,6,4]=>[2,4,7,8,6,1,3,5]=>[4,1,3]=>10001100=>3 [1,3,7,6,5,8,2,4]=>[8,6,2,3,4,1,7,5]=>[1,1,3,2,1]=>11100101=>4 [8,6,4,7,5,2,1,3]=>[1,3,5,2,4,7,8,6]=>[3,4,1]=>10010001=>4 [6,4,8,7,5,2,1,3]=>[3,5,1,2,4,7,8,6]=>[2,5,1]=>10100001=>4 [6,4,7,5,2,1,3,8]=>[3,5,2,4,7,8,6,1]=>[2,4,1,1]=>10100011=>4 [6,3,1,4,7,5,2,8]=>[3,6,8,5,2,4,7,1]=>[3,1,3,1]=>10011001=>4 [6,3,1,4,8,7,5,2]=>[3,6,8,5,1,2,4,7]=>[3,1,4]=>10011000=>3 [8,6,3,1,4,7,5,2]=>[1,3,6,8,5,2,4,7]=>[4,1,3]=>10001100=>3 [8,5,7,6,3,1,4,2]=>[1,4,2,3,6,8,5,7]=>[2,4,2]=>10100010=>5 [1,8,2,5,7,6,4,3]=>[8,1,7,4,2,3,5,6]=>[1,2,1,4]=>11011000=>3 [1,8,2,6,4,7,5,3]=>[8,1,7,3,5,2,4,6]=>[1,2,2,3]=>11010100=>5 [7,5,2,1,6,4,8,3]=>[2,4,7,8,3,5,1,6]=>[4,2,2]=>10001010=>5 [6,3,8,7,4,1,5,2]=>[3,6,1,2,5,8,4,7]=>[2,4,2]=>10100010=>5 [6,3,7,4,1,5,2,8]=>[3,6,2,5,8,4,7,1]=>[2,3,2,1]=>10100101=>6 [7,4,1,6,3,5,2,8]=>[2,5,8,3,6,4,7,1]=>[3,2,2,1]=>10010101=>6 [7,4,1,8,6,3,5,2]=>[2,5,8,1,3,6,4,7]=>[3,3,2]=>10010010=>5 [8,4,6,3,1,7,5,2]=>[1,5,3,6,8,2,4,7]=>[2,3,3]=>10100100=>5 [6,4,7,5,2,1,8,3]=>[3,5,2,4,7,8,1,6]=>[2,4,2]=>10100010=>5 [1,6,4,7,5,3,8,2]=>[8,3,5,2,4,6,1,7]=>[1,2,3,2]=>11010010=>5 [8,6,3,5,2,7,4,1]=>[1,3,6,4,7,2,5,8]=>[3,2,3]=>10010100=>5 [6,3,5,2,8,7,4,1]=>[3,6,4,7,1,2,5,8]=>[2,2,4]=>10101000=>5 [6,3,5,2,7,4,1,8]=>[3,6,4,7,2,5,8,1]=>[2,2,3,1]=>10101001=>6 [4,5,7,2,6,3,1,8]=>[5,4,2,7,3,6,8,1]=>[1,1,2,3,1]=>11101001=>4 [3,5,8,4,6,1,7,2]=>[6,4,1,5,3,8,2,7]=>[1,1,2,2,2]=>11101010=>5 [5,7,4,2,6,3,1,8]=>[4,2,5,7,3,6,8,1]=>[1,3,3,1]=>11001001=>4 [4,2,6,3,5,7,1,8]=>[5,7,3,6,4,2,8,1]=>[2,2,1,2,1]=>10101101=>6 [1,4,5,8,2,7,3,6]=>[8,5,4,1,7,2,6,3]=>[1,1,1,2,2,1]=>11110101=>4 [2,4,5,8,1,6,7,3]=>[7,5,4,1,8,3,2,6]=>[1,1,1,2,1,2]=>11110110=>3 [8,3,4,7,1,6,5,2]=>[1,6,5,2,8,3,4,7]=>[2,1,2,3]=>10110100=>5 [8,3,4,6,5,1,7,2]=>[1,6,5,3,4,8,2,7]=>[2,1,3,2]=>10110010=>5 [4,1,7,3,5,2,6,8]=>[5,8,2,6,4,7,3,1]=>[2,2,2,1,1]=>10101011=>6 [6,1,3,7,4,2,5,8]=>[3,8,6,2,5,7,4,1]=>[2,1,3,1,1]=>10110011=>4 [3,1,6,8,2,7,4,5]=>[6,8,3,1,7,2,5,4]=>[2,1,2,2,1]=>10110101=>6 [6,1,3,8,2,5,4,7]=>[3,8,6,1,7,4,5,2]=>[2,1,2,2,1]=>10110101=>6 [4,8,2,3,1,6,7,5]=>[5,1,7,6,8,3,2,4]=>[1,2,2,1,2]=>11010110=>5 [3,2,6,8,1,5,7,4]=>[6,7,3,1,8,4,2,5]=>[2,1,2,1,2]=>10110110=>5 [8,2,6,1,5,4,7,3]=>[1,7,3,8,4,5,2,6]=>[2,2,2,2]=>10101010=>7 [8,6,2,7,1,5,4,3]=>[1,3,7,2,8,4,5,6]=>[3,2,3]=>10010100=>5 [7,6,8,3,1,5,4,2]=>[2,3,1,6,8,4,5,7]=>[2,3,3]=>10100100=>5 [6,3,7,2,8,1,5,4]=>[3,6,2,7,1,8,4,5]=>[2,2,2,2]=>10101010=>7 [7,5,2,8,6,1,4,3]=>[2,4,7,1,3,8,5,6]=>[3,3,2]=>10010010=>5 [2,7,3,8,1,5,6,4]=>[7,2,6,1,8,4,3,5]=>[1,2,2,1,2]=>11010110=>5 [1,6,8,5,2,4,3,7]=>[8,3,1,4,7,5,6,2]=>[1,1,3,2,1]=>11100101=>4 [4,5,7,2,8,1,6,3]=>[5,4,2,7,1,8,3,6]=>[1,1,2,2,2]=>11101010=>5 [4,5,6,8,3,1,7,2]=>[5,4,3,1,6,8,2,7]=>[1,1,1,3,2]=>11110010=>3 [8,4,6,5,3,1,7,2]=>[1,5,3,4,6,8,2,7]=>[2,4,2]=>10100010=>5 [5,6,4,8,3,1,7,2]=>[4,3,5,1,6,8,2,7]=>[1,2,3,2]=>11010010=>5 [4,8,1,6,2,3,7,5]=>[5,1,8,3,7,6,2,4]=>[1,2,2,1,2]=>11010110=>5 [4,5,3,1,7,2,6,8]=>[5,4,6,8,2,7,3,1]=>[1,3,2,1,1]=>11001011=>4 [4,7,3,1,2,6,5,8]=>[5,2,6,8,7,3,4,1]=>[1,3,1,2,1]=>11001101=>4 [7,8,1,2,4,3,6,5]=>[2,1,8,7,5,6,3,4]=>[1,2,1,2,2]=>11011010=>5 [8,4,1,6,2,3,7,5]=>[1,5,8,3,7,6,2,4]=>[3,2,1,2]=>10010110=>5 [4,8,3,1,2,5,7,6]=>[5,1,6,8,7,4,2,3]=>[1,3,1,1,2]=>11001110=>3 [4,1,3,6,5,7,8,2]=>[5,8,6,3,4,2,1,7]=>[2,1,2,1,2]=>10110110=>5 [6,1,3,4,2,8,5,7]=>[3,8,6,5,7,1,4,2]=>[2,1,2,2,1]=>10110101=>6 [8,1,4,2,5,7,6,3]=>[1,8,5,7,4,2,3,6]=>[2,2,1,3]=>10101100=>5 [8,1,4,3,5,7,6,2]=>[1,8,5,6,4,2,3,7]=>[2,2,1,3]=>10101100=>5 [5,2,4,1,3,7,8,6]=>[4,7,5,8,6,2,1,3]=>[2,2,1,1,2]=>10101110=>5 [2,6,5,3,1,7,8,4]=>[7,3,4,6,8,2,1,5]=>[1,4,1,2]=>11000110=>3 [8,3,2,1,5,7,6,4]=>[1,6,7,8,4,2,3,5]=>[4,1,3]=>10001100=>3 [1,7,4,3,6,8,2,5]=>[8,2,5,6,3,1,7,4]=>[1,3,1,2,1]=>11001101=>4 [2,7,6,3,1,8,4,5]=>[7,2,3,6,8,1,5,4]=>[1,4,2,1]=>11000101=>4 [2,8,4,6,3,7,5,1]=>[7,1,5,3,6,2,4,8]=>[1,2,2,3]=>11010100=>5 [8,7,1,3,6,5,4,2]=>[1,2,8,6,3,4,5,7]=>[3,1,4]=>10011000=>3 [1,8,5,7,4,2,6,3]=>[8,1,4,2,5,7,3,6]=>[1,2,3,2]=>11010010=>5 [3,8,6,5,7,1,4,2]=>[6,1,3,4,2,8,5,7]=>[1,3,2,2]=>11001010=>5 [4,8,6,2,7,1,5,3]=>[5,1,3,7,2,8,4,6]=>[1,3,2,2]=>11001010=>5 [4,7,5,3,8,2,1,6]=>[5,2,4,6,1,7,8,3]=>[1,3,3,1]=>11001001=>4 [1,6,5,8,3,4,2,7]=>[8,3,4,1,6,5,7,2]=>[1,2,2,2,1]=>11010101=>6 [6,1,5,3,8,4,2,7]=>[3,8,4,6,1,5,7,2]=>[2,2,3,1]=>10101001=>6 [8,1,5,4,7,2,6,3]=>[1,8,4,5,2,7,3,6]=>[2,2,2,2]=>10101010=>7 [2,1,4,7,5,8,3,6]=>[7,8,5,2,4,1,6,3]=>[2,1,2,2,1]=>10110101=>6 [6,3,5,8,7,4,1,2]=>[3,6,4,1,2,5,8,7]=>[2,1,4,1]=>10110001=>4 [4,7,2,8,5,6,3,1]=>[5,2,7,1,4,3,6,8]=>[1,2,2,3]=>11010100=>5 [1,4,8,7,3,5,6,2]=>[8,5,1,2,6,4,3,7]=>[1,1,3,1,2]=>11100110=>3 [8,1,7,6,3,5,4,2]=>[1,8,2,3,6,4,5,7]=>[2,3,3]=>10100100=>5 [3,6,8,5,7,4,1,2]=>[6,3,1,4,2,5,8,7]=>[1,1,2,3,1]=>11101001=>4 [4,7,6,8,5,3,1,2]=>[5,2,3,1,4,6,8,7]=>[1,2,4,1]=>11010001=>4 [5,7,2,8,6,4,1,3]=>[4,2,7,1,3,5,8,6]=>[1,2,4,1]=>11010001=>4 [3,8,7,5,6,4,2,1]=>[6,1,2,4,3,5,7,8]=>[1,3,4]=>11001000=>3 [2,8,7,6,4,5,3,1]=>[7,1,2,3,5,4,6,8]=>[1,4,3]=>11000100=>3 [1,8,7,6,5,3,4,2]=>[8,1,2,3,4,6,5,7]=>[1,5,2]=>11000010=>3 [4,6,7,2,5,3,1,8]=>[5,3,2,7,4,6,8,1]=>[1,1,2,3,1]=>11101001=>4 [3,6,7,4,8,1,5,2]=>[6,3,2,5,1,8,4,7]=>[1,1,2,2,2]=>11101010=>5 [3,8,5,7,6,1,4,2]=>[6,1,4,2,3,8,5,7]=>[1,2,3,2]=>11010010=>5 [1,4,7,8,2,6,5,3]=>[8,5,2,1,7,3,4,6]=>[1,1,1,2,3]=>11110100=>3 [2,4,7,8,1,6,5,3]=>[7,5,2,1,8,3,4,6]=>[1,1,1,2,3]=>11110100=>3 [3,1,7,8,2,6,5,4]=>[6,8,2,1,7,3,4,5]=>[2,1,2,3]=>10110100=>5 [6,1,3,8,2,7,5,4]=>[3,8,6,1,7,2,4,5]=>[2,1,2,3]=>10110100=>5 [5,1,8,4,2,7,6,3]=>[4,8,1,5,7,2,3,6]=>[2,3,3]=>10100100=>5 [8,2,6,1,7,5,4,3]=>[1,7,3,8,2,4,5,6]=>[2,2,4]=>10101000=>5 [6,8,3,7,1,5,4,2]=>[3,1,6,2,8,4,5,7]=>[1,2,2,3]=>11010100=>5 [2,7,3,8,1,6,5,4]=>[7,2,6,1,8,3,4,5]=>[1,2,2,3]=>11010100=>5 [1,7,3,8,2,6,5,4]=>[8,2,6,1,7,3,4,5]=>[1,2,2,3]=>11010100=>5 [2,6,8,4,1,7,5,3]=>[7,3,1,5,8,2,4,6]=>[1,1,3,3]=>11100100=>3 [4,5,8,6,3,1,7,2]=>[5,4,1,3,6,8,2,7]=>[1,1,4,2]=>11100010=>3 [4,6,7,1,2,8,5,3]=>[5,3,2,8,7,1,4,6]=>[1,1,2,1,3]=>11101100=>3 [3,6,1,8,2,7,5,4]=>[6,3,8,1,7,2,4,5]=>[1,2,2,3]=>11010100=>5 [5,7,4,1,2,8,6,3]=>[4,2,5,8,7,1,3,6]=>[1,3,1,3]=>11001100=>3 [6,3,7,1,2,8,5,4]=>[3,6,2,8,7,1,4,5]=>[2,2,1,3]=>10101100=>5 [6,2,1,8,3,7,5,4]=>[3,7,8,1,6,2,4,5]=>[3,2,3]=>10010100=>5 [8,1,5,6,3,2,4,7]=>[1,8,4,3,6,7,5,2]=>[2,1,3,1,1]=>10110011=>4 [1,7,8,3,5,2,4,6]=>[8,2,1,6,4,7,5,3]=>[1,1,2,2,1,1]=>11101011=>4 [8,5,3,7,2,4,6,1]=>[1,4,6,2,7,5,3,8]=>[3,2,1,2]=>10010110=>5 [1,7,2,4,8,5,3,6]=>[8,2,7,5,1,4,6,3]=>[1,2,1,3,1]=>11011001=>4 [1,7,8,5,4,3,2,6]=>[8,2,1,4,5,6,7,3]=>[1,1,5,1]=>11100001=>2 [2,6,8,7,4,3,5,1]=>[7,3,1,2,5,6,4,8]=>[1,1,4,2]=>11100010=>3 [1,2,6,7,8,4,3,5]=>[8,7,3,2,1,5,6,4]=>[1,1,1,1,3,1]=>11111001=>2 [2,7,5,8,4,1,3,6]=>[7,2,4,1,5,8,6,3]=>[1,2,3,1,1]=>11010011=>4 [2,1,7,8,4,5,3,6]=>[7,8,2,1,5,4,6,3]=>[2,1,2,2,1]=>10110101=>6 [3,7,8,2,1,5,4,6]=>[6,2,1,7,8,4,5,3]=>[1,1,3,2,1]=>11100101=>4 [8,5,1,4,7,3,6,2]=>[1,4,8,5,2,6,3,7]=>[3,1,2,2]=>10011010=>5 [8,4,7,5,3,6,1,2]=>[1,5,2,4,6,3,8,7]=>[2,3,2,1]=>10100101=>6 [8,1,4,6,7,3,5,2]=>[1,8,5,3,2,6,4,7]=>[2,1,1,2,2]=>10111010=>5 [3,5,8,6,7,4,1,2]=>[6,4,1,3,2,5,8,7]=>[1,1,2,3,1]=>11101001=>4 [3,6,8,4,7,1,5,2]=>[6,3,1,5,2,8,4,7]=>[1,1,2,2,2]=>11101010=>5 [4,7,1,3,6,8,2,5]=>[5,2,8,6,3,1,7,4]=>[1,2,1,1,2,1]=>11011101=>4 [3,7,6,4,8,1,2,5]=>[6,2,3,5,1,8,7,4]=>[1,3,2,1,1]=>11001011=>4 [3,1,7,5,6,8,2,4]=>[6,8,2,4,3,1,7,5]=>[2,2,1,2,1]=>10101101=>6 [2,3,6,5,7,1,8,4]=>[7,6,3,4,2,8,1,5]=>[1,1,2,2,2]=>11101010=>5 [3,7,5,4,2,1,8,6]=>[6,2,4,5,7,8,1,3]=>[1,5,2]=>11000010=>3 [1,3,6,7,4,2,8,5]=>[8,6,3,2,5,7,1,4]=>[1,1,1,3,2]=>11110010=>3 [3,6,4,8,2,7,5,1]=>[6,3,5,1,7,2,4,8]=>[1,2,2,3]=>11010100=>5 [1,4,6,3,2,7,8,5]=>[8,5,3,6,7,2,1,4]=>[1,1,3,1,2]=>11100110=>3 [8,7,1,5,6,3,2,4]=>[1,2,8,4,3,6,7,5]=>[3,1,3,1]=>10011001=>4 [8,1,6,7,5,3,2,4]=>[1,8,3,2,4,6,7,5]=>[2,1,4,1]=>10110001=>4 [1,7,8,6,5,3,2,4]=>[8,2,1,3,4,6,7,5]=>[1,1,5,1]=>11100001=>2 [8,7,2,4,6,5,3,1]=>[1,2,7,5,3,4,6,8]=>[3,1,4]=>10011000=>3 [1,7,8,2,6,4,5,3]=>[8,2,1,7,3,5,4,6]=>[1,1,2,2,2]=>11101010=>5 [8,7,2,5,4,6,1,3]=>[1,2,7,4,5,3,8,6]=>[3,2,2,1]=>10010101=>6 [8,7,2,5,3,1,6,4]=>[1,2,7,4,6,8,3,5]=>[3,3,2]=>10010010=>5 [8,7,3,2,1,5,6,4]=>[1,2,6,7,8,4,3,5]=>[5,1,2]=>10000110=>3 [8,2,6,7,3,1,5,4]=>[1,7,3,2,6,8,4,5]=>[2,1,3,2]=>10110010=>5 [1,7,2,8,5,6,4,3]=>[8,2,7,1,4,3,5,6]=>[1,2,2,3]=>11010100=>5 [2,7,1,8,4,6,5,3]=>[7,2,8,1,5,3,4,6]=>[1,2,2,3]=>11010100=>5 [3,7,8,2,1,6,5,4]=>[6,2,1,7,8,3,4,5]=>[1,1,3,3]=>11100100=>3 [8,7,6,1,4,5,3,2]=>[1,2,3,8,5,4,6,7]=>[4,1,3]=>10001100=>3 [4,8,1,2,3,7,5,6]=>[5,1,8,7,6,2,4,3]=>[1,2,1,1,2,1]=>11011101=>4 [1,8,2,3,6,5,4,7]=>[8,1,7,6,3,4,5,2]=>[1,2,1,3,1]=>11011001=>4 [3,5,8,4,7,2,6,1]=>[6,4,1,5,2,7,3,8]=>[1,1,2,2,2]=>11101010=>5 [1,8,5,4,6,2,3,7]=>[8,1,4,5,3,7,6,2]=>[1,3,2,1,1]=>11001011=>4 [3,8,5,4,6,1,2,7]=>[6,1,4,5,3,8,7,2]=>[1,3,2,1,1]=>11001011=>4 [3,8,5,1,6,4,2,7]=>[6,1,4,8,3,5,7,2]=>[1,3,3,1]=>11001001=>4 [2,8,5,4,6,1,3,7]=>[7,1,4,5,3,8,6,2]=>[1,3,2,1,1]=>11001011=>4 [2,8,5,4,6,3,1,7]=>[7,1,4,5,3,6,8,2]=>[1,3,3,1]=>11001001=>4 [1,8,5,4,6,3,2,7]=>[8,1,4,5,3,6,7,2]=>[1,3,3,1]=>11001001=>4 [2,5,8,4,7,3,6,1]=>[7,4,1,5,2,6,3,8]=>[1,1,2,2,2]=>11101010=>5 [3,6,4,2,7,8,5,1]=>[6,3,5,7,2,1,4,8]=>[1,3,1,3]=>11001100=>3 [3,5,4,1,6,2,7,8]=>[6,4,5,8,3,7,2,1]=>[1,3,2,1,1]=>11001011=>4 [4,5,8,1,7,6,2,3]=>[5,4,1,8,2,3,7,6]=>[1,1,2,3,1]=>11101001=>4 [3,5,8,4,7,1,6,2]=>[6,4,1,5,2,8,3,7]=>[1,1,2,2,2]=>11101010=>5 [1,5,8,4,7,3,6,2]=>[8,4,1,5,2,6,3,7]=>[1,1,2,2,2]=>11101010=>5 [3,6,4,1,7,8,5,2]=>[6,3,5,8,2,1,4,7]=>[1,3,1,3]=>11001100=>3 [3,6,4,8,7,5,2,1]=>[6,3,5,1,2,4,7,8]=>[1,2,5]=>11010000=>3 [1,6,4,3,7,8,5,2]=>[8,3,5,6,2,1,4,7]=>[1,3,1,3]=>11001100=>3 [7,1,3,4,8,6,5,2]=>[2,8,6,5,1,3,4,7]=>[2,1,1,4]=>10111000=>3 [7,6,1,3,8,4,2,5]=>[2,3,8,6,1,5,7,4]=>[3,1,3,1]=>10011001=>4 [1,6,4,2,7,8,3,5]=>[8,3,5,7,2,1,6,4]=>[1,3,1,2,1]=>11001101=>4 [2,6,4,3,7,1,8,5]=>[7,3,5,6,2,8,1,4]=>[1,3,2,2]=>11001010=>5 [2,6,4,1,7,8,3,5]=>[7,3,5,8,2,1,6,4]=>[1,3,1,2,1]=>11001101=>4 [7,2,3,4,8,6,5,1]=>[2,7,6,5,1,3,4,8]=>[2,1,1,4]=>10111000=>3 [7,2,3,1,8,6,4,5]=>[2,7,6,8,1,3,5,4]=>[2,2,3,1]=>10101001=>6 [7,2,3,4,1,6,8,5]=>[2,7,6,5,8,3,1,4]=>[2,1,2,1,2]=>10110110=>5 [1,2,4,3,8,5,7,6]=>[8,7,5,6,1,4,2,3]=>[1,1,2,2,2]=>11101010=>5 [7,3,8,6,1,4,2,5]=>[2,6,1,3,8,5,7,4]=>[2,3,2,1]=>10100101=>6 [7,2,8,6,3,4,1,5]=>[2,7,1,3,6,5,8,4]=>[2,3,2,1]=>10100101=>6 [7,2,3,1,5,6,8,4]=>[2,7,6,8,4,3,1,5]=>[2,2,1,1,2]=>10101110=>5 [7,2,3,8,1,6,5,4]=>[2,7,6,1,8,3,4,5]=>[2,1,2,3]=>10110100=>5 [7,2,3,8,5,6,4,1]=>[2,7,6,1,4,3,5,8]=>[2,1,2,3]=>10110100=>5 [2,6,4,8,7,1,5,3]=>[7,3,5,1,2,8,4,6]=>[1,2,3,2]=>11010010=>5 [1,5,8,4,7,6,2,3]=>[8,4,1,5,2,3,7,6]=>[1,1,2,3,1]=>11101001=>4 [3,5,8,1,6,7,2,4]=>[6,4,1,8,3,2,7,5]=>[1,1,2,1,2,1]=>11101101=>4 [7,6,1,3,5,8,2,4]=>[2,3,8,6,4,1,7,5]=>[3,1,1,2,1]=>10011101=>4 [7,1,3,2,5,6,8,4]=>[2,8,6,7,4,3,1,5]=>[2,2,1,1,2]=>10101110=>5 [7,1,3,8,2,6,5,4]=>[2,8,6,1,7,3,4,5]=>[2,1,2,3]=>10110100=>5 [7,6,1,8,5,4,2,3]=>[2,3,8,1,4,5,7,6]=>[3,4,1]=>10010001=>4 [4,1,6,5,8,2,7,3]=>[5,8,3,4,1,7,2,6]=>[2,2,2,2]=>10101010=>7 [3,1,6,5,8,4,7,2]=>[6,8,3,4,1,5,2,7]=>[2,2,2,2]=>10101010=>7 [3,2,6,5,8,4,7,1]=>[6,7,3,4,1,5,2,8]=>[2,2,2,2]=>10101010=>7 [4,3,7,1,6,5,8,2]=>[5,6,2,8,3,4,1,7]=>[2,2,2,2]=>10101010=>7 [5,2,6,4,8,3,7,1]=>[4,7,3,5,1,6,2,8]=>[2,2,2,2]=>10101010=>7 [5,1,6,4,8,3,7,2]=>[4,8,3,5,1,6,2,7]=>[2,2,2,2]=>10101010=>7 [5,1,6,4,8,2,7,3]=>[4,8,3,5,1,7,2,6]=>[2,2,2,2]=>10101010=>7 [4,3,7,5,8,1,6,2]=>[5,6,2,4,1,8,3,7]=>[2,2,2,2]=>10101010=>7 [4,3,7,5,8,2,6,1]=>[5,6,2,4,1,7,3,8]=>[2,2,2,2]=>10101010=>7 [5,3,7,4,8,2,6,1]=>[4,6,2,5,1,7,3,8]=>[2,2,2,2]=>10101010=>7 [5,3,7,4,8,1,6,2]=>[4,6,2,5,1,8,3,7]=>[2,2,2,2]=>10101010=>7 [5,4,8,1,6,2,7,3]=>[4,5,1,8,3,7,2,6]=>[2,2,2,2]=>10101010=>7 [4,3,7,2,6,1,8,5]=>[5,6,2,7,3,8,1,4]=>[2,2,2,2]=>10101010=>7 [4,3,7,1,5,2,8,6]=>[5,6,2,8,4,7,1,3]=>[2,2,2,2]=>10101010=>7 [4,3,7,1,6,2,8,5]=>[5,6,2,8,3,7,1,4]=>[2,2,2,2]=>10101010=>7 [5,4,8,2,6,3,7,1]=>[4,5,1,7,3,6,2,8]=>[2,2,2,2]=>10101010=>7 [5,4,8,1,6,3,7,2]=>[4,5,1,8,3,6,2,7]=>[2,2,2,2]=>10101010=>7 [4,1,7,5,2,3,6,8]=>[5,8,2,4,7,6,3,1]=>[2,3,1,1,1]=>10100111=>4 [4,7,2,6,3,1,5,8]=>[5,2,7,3,6,8,4,1]=>[1,2,3,1,1]=>11010011=>4 [4,8,2,7,3,5,1,6]=>[5,1,7,2,6,4,8,3]=>[1,2,2,2,1]=>11010101=>6 [4,1,8,7,6,3,2,5]=>[5,8,1,2,3,6,7,4]=>[2,5,1]=>10100001=>4 [4,7,2,8,3,5,1,6]=>[5,2,7,1,6,4,8,3]=>[1,2,2,2,1]=>11010101=>6 [1,2,6,8,3,7,4,5]=>[8,7,3,1,6,2,5,4]=>[1,1,1,2,2,1]=>11110101=>4 [6,8,3,2,1,4,7,5]=>[3,1,6,7,8,5,2,4]=>[1,4,1,2]=>11000110=>3 [6,7,5,2,1,8,3,4]=>[3,2,4,7,8,1,6,5]=>[1,4,2,1]=>11000101=>4 [7,2,4,1,6,5,8,3]=>[2,7,5,8,3,4,1,6]=>[2,2,2,2]=>10101010=>7 [8,4,3,1,6,5,7,2]=>[1,5,6,8,3,4,2,7]=>[4,2,2]=>10001010=>5 [7,5,8,4,3,1,6,2]=>[2,4,1,5,6,8,3,7]=>[2,4,2]=>10100010=>5 [6,7,5,2,8,4,1,3]=>[3,2,4,7,1,5,8,6]=>[1,3,3,1]=>11001001=>4 [6,8,2,4,1,3,7,5]=>[3,1,7,5,8,6,2,4]=>[1,2,2,1,2]=>11010110=>5 [8,4,6,5,7,3,2,1]=>[1,5,3,4,2,6,7,8]=>[2,2,4]=>10101000=>5 [5,2,7,6,3,8,4,1]=>[4,7,2,3,6,1,5,8]=>[2,3,3]=>10100100=>5 [2,8,4,7,6,3,5,1]=>[7,1,5,2,3,6,4,8]=>[1,2,3,2]=>11010010=>5 [6,1,2,7,5,8,4,3]=>[3,8,7,2,4,1,5,6]=>[2,1,2,3]=>10110100=>5 [7,1,2,6,5,8,4,3]=>[2,8,7,3,4,1,5,6]=>[2,1,2,3]=>10110100=>5 [6,2,5,7,3,8,4,1]=>[3,7,4,2,6,1,5,8]=>[2,1,2,3]=>10110100=>5 [4,2,7,3,8,5,6,1]=>[5,7,2,6,1,4,3,8]=>[2,2,2,2]=>10101010=>7 [4,8,3,2,5,7,6,1]=>[5,1,6,7,4,2,3,8]=>[1,3,1,3]=>11001100=>3 [2,6,8,5,3,4,7,1]=>[7,3,1,4,6,5,2,8]=>[1,1,3,1,2]=>11100110=>3 [7,2,4,3,8,5,6,1]=>[2,7,5,6,1,4,3,8]=>[2,2,2,2]=>10101010=>7 [6,8,5,3,4,7,2,1]=>[3,1,4,6,5,2,7,8]=>[1,3,1,3]=>11001100=>3 [2,4,7,6,1,5,8,3]=>[7,5,2,3,8,4,1,6]=>[1,1,3,1,2]=>11100110=>3 [8,2,6,7,5,1,4,3]=>[1,7,3,2,4,8,5,6]=>[2,1,3,2]=>10110010=>5 [6,1,7,5,8,4,2,3]=>[3,8,2,4,1,5,7,6]=>[2,2,3,1]=>10101001=>6 [8,4,7,6,2,3,5,1]=>[1,5,2,3,7,6,4,8]=>[2,3,1,2]=>10100110=>5 [6,8,4,1,5,3,7,2]=>[3,1,5,8,4,6,2,7]=>[1,3,2,2]=>11001010=>5 [6,8,3,4,7,2,5,1]=>[3,1,6,5,2,7,4,8]=>[1,2,1,2,2]=>11011010=>5 [8,3,4,7,6,2,5,1]=>[1,6,5,2,3,7,4,8]=>[2,1,3,2]=>10110010=>5 [4,7,6,2,5,8,3,1]=>[5,2,3,7,4,1,6,8]=>[1,3,1,3]=>11001100=>3 [1,8,3,5,2,6,7,4]=>[8,1,6,4,7,3,2,5]=>[1,2,2,1,2]=>11010110=>5 [8,3,5,1,4,7,6,2]=>[1,6,4,8,5,2,3,7]=>[2,2,1,3]=>10101100=>5 [6,8,3,5,1,4,7,2]=>[3,1,6,4,8,5,2,7]=>[1,2,2,1,2]=>11010110=>5 [6,8,4,7,2,3,5,1]=>[3,1,5,2,7,6,4,8]=>[1,2,2,1,2]=>11010110=>5 [1,7,2,6,5,8,4,3]=>[8,2,7,3,4,1,5,6]=>[1,2,2,3]=>11010100=>5 [7,1,6,5,8,4,2,3]=>[2,8,3,4,1,5,7,6]=>[2,2,3,1]=>10101001=>6 [5,3,8,2,4,7,6,1]=>[4,6,1,7,5,2,3,8]=>[2,2,1,3]=>10101100=>5 [6,7,2,8,5,4,3,1]=>[3,2,7,1,4,5,6,8]=>[1,2,5]=>11010000=>3 [3,7,4,6,2,8,5,1]=>[6,2,5,3,7,1,4,8]=>[1,2,2,3]=>11010100=>5 [6,8,5,4,2,3,7,1]=>[3,1,4,5,7,6,2,8]=>[1,4,1,2]=>11000110=>3 [5,8,2,4,3,7,6,1]=>[4,1,7,5,6,2,3,8]=>[1,2,2,3]=>11010100=>5 [3,4,5,8,2,7,6,1]=>[6,5,4,1,7,2,3,8]=>[1,1,1,2,3]=>11110100=>3 [6,8,3,4,5,2,7,1]=>[3,1,6,5,4,7,2,8]=>[1,2,1,2,2]=>11011010=>5 [7,4,6,3,2,8,5,1]=>[2,5,3,6,7,1,4,8]=>[2,3,3]=>10100100=>5 [8,2,1,3,5,4,7,6]=>[1,7,8,6,4,5,2,3]=>[3,1,2,2]=>10011010=>5 [8,2,1,3,4,6,7,5]=>[1,7,8,6,5,3,2,4]=>[3,1,1,1,2]=>10011110=>3 [8,1,3,4,2,6,5,7]=>[1,8,6,5,7,3,4,2]=>[2,1,2,2,1]=>10110101=>6 [8,1,3,4,2,5,7,6]=>[1,8,6,5,7,4,2,3]=>[2,1,2,1,2]=>10110110=>5 [8,1,3,2,5,6,4,7]=>[1,8,6,7,4,3,5,2]=>[2,2,1,2,1]=>10101101=>6 [8,1,2,4,5,3,7,6]=>[1,8,7,5,4,6,2,3]=>[2,1,1,2,2]=>10111010=>5 [6,5,3,8,4,2,7,1]=>[3,4,6,1,5,7,2,8]=>[3,3,2]=>10010010=>5 [7,4,5,1,6,2,8,3]=>[2,5,4,8,3,7,1,6]=>[2,2,2,2]=>10101010=>7 [4,7,3,5,6,2,8,1]=>[5,2,6,4,3,7,1,8]=>[1,2,1,2,2]=>11011010=>5 [6,7,8,4,1,3,5,2]=>[3,2,1,5,8,6,4,7]=>[1,1,3,1,2]=>11100110=>3 [3,1,6,8,4,7,5,2]=>[6,8,3,1,5,2,4,7]=>[2,1,2,3]=>10110100=>5 [8,3,6,1,5,7,4,2]=>[1,6,3,8,4,2,5,7]=>[2,2,1,3]=>10101100=>5 [2,7,3,5,8,6,4,1]=>[7,2,6,4,1,3,5,8]=>[1,2,1,4]=>11011000=>3 [3,2,7,5,8,6,1,4]=>[6,7,2,4,1,3,8,5]=>[2,2,3,1]=>10101001=>6 [2,4,7,5,8,6,1,3]=>[7,5,2,4,1,3,8,6]=>[1,1,2,3,1]=>11101001=>4 [2,5,4,7,8,1,6,3]=>[7,4,5,2,1,8,3,6]=>[1,2,1,2,2]=>11011010=>5 [2,4,6,7,8,1,5,3]=>[7,5,3,2,1,8,4,6]=>[1,1,1,1,2,2]=>11111010=>3 [2,4,7,6,1,8,5,3]=>[7,5,2,3,8,1,4,6]=>[1,1,3,3]=>11100100=>3 [2,4,6,8,1,7,5,3]=>[7,5,3,1,8,2,4,6]=>[1,1,1,2,3]=>11110100=>3 [7,3,6,8,2,5,1,4]=>[2,6,3,1,7,4,8,5]=>[2,1,2,2,1]=>10110101=>6 [5,7,3,8,6,2,1,4]=>[4,2,6,1,3,7,8,5]=>[1,2,4,1]=>11010001=>4 [7,4,3,8,6,2,1,5]=>[2,5,6,1,3,7,8,4]=>[3,4,1]=>10010001=>4 [2,4,7,8,3,5,6,1]=>[7,5,2,1,6,4,3,8]=>[1,1,1,2,1,2]=>11110110=>3 [3,4,7,2,8,5,1,6]=>[6,5,2,7,1,4,8,3]=>[1,1,2,3,1]=>11101001=>4 [3,5,2,7,8,1,4,6]=>[6,4,7,2,1,8,5,3]=>[1,2,1,2,1,1]=>11011011=>4 [3,2,7,6,1,8,4,5]=>[6,7,2,3,8,1,5,4]=>[2,3,2,1]=>10100101=>6 [3,2,6,8,1,7,4,5]=>[6,7,3,1,8,2,5,4]=>[2,1,2,2,1]=>10110101=>6 [3,5,2,8,1,4,7,6]=>[6,4,7,1,8,5,2,3]=>[1,2,2,1,2]=>11010110=>5 [4,3,6,2,1,8,5,7]=>[5,6,3,7,8,1,4,2]=>[2,3,2,1]=>10100101=>6 [3,6,4,2,5,8,1,7]=>[6,3,5,7,4,1,8,2]=>[1,3,1,2,1]=>11001101=>4 [4,6,2,3,5,8,7,1]=>[5,3,7,6,4,1,2,8]=>[1,2,1,1,3]=>11011100=>3 [4,6,2,3,7,5,8,1]=>[5,3,7,6,2,4,1,8]=>[1,2,1,2,2]=>11011010=>5 [3,6,4,2,7,5,1,8]=>[6,3,5,7,2,4,8,1]=>[1,3,3,1]=>11001001=>4 [4,3,6,2,7,1,5,8]=>[5,6,3,7,2,8,4,1]=>[2,2,2,1,1]=>10101011=>6 [3,6,5,2,1,7,4,8]=>[6,3,4,7,8,2,5,1]=>[1,4,2,1]=>11000101=>4 [4,8,6,3,2,1,5,7]=>[5,1,3,6,7,8,4,2]=>[1,5,1,1]=>11000011=>2 [7,4,6,3,2,1,5,8]=>[2,5,3,6,7,8,4,1]=>[2,4,1,1]=>10100011=>4 [5,8,4,2,3,6,7,1]=>[4,1,5,7,6,3,2,8]=>[1,3,1,1,2]=>11001110=>3 [6,4,8,3,2,1,5,7]=>[3,5,1,6,7,8,4,2]=>[2,4,1,1]=>10100011=>4 [8,4,5,3,2,1,7,6]=>[1,5,4,6,7,8,2,3]=>[2,4,2]=>10100010=>5 [5,8,3,4,2,1,7,6]=>[4,1,6,5,7,8,2,3]=>[1,2,3,2]=>11010010=>5 [6,8,4,2,3,7,5,1]=>[3,1,5,7,6,2,4,8]=>[1,3,1,3]=>11001100=>3 [3,6,4,2,1,8,7,5]=>[6,3,5,7,8,1,2,4]=>[1,4,3]=>11000100=>3 [6,4,8,3,2,7,1,5]=>[3,5,1,6,7,2,8,4]=>[2,3,2,1]=>10100101=>6 [5,6,8,3,2,7,1,4]=>[4,3,1,6,7,2,8,5]=>[1,1,3,2,1]=>11100101=>4 [5,8,3,7,2,1,6,4]=>[4,1,6,2,7,8,3,5]=>[1,2,3,2]=>11010010=>5 [2,8,5,7,4,1,6,3]=>[7,1,4,2,5,8,3,6]=>[1,2,3,2]=>11010010=>5 [2,8,6,5,4,1,7,3]=>[7,1,3,4,5,8,2,6]=>[1,5,2]=>11000010=>3 [2,5,6,4,1,8,7,3]=>[7,4,3,5,8,1,2,6]=>[1,1,3,3]=>11100100=>3 [2,8,6,4,5,7,1,3]=>[7,1,3,5,4,2,8,6]=>[1,3,1,2,1]=>11001101=>4 [3,8,6,2,5,7,1,4]=>[6,1,3,7,4,2,8,5]=>[1,3,1,2,1]=>11001101=>4 [2,8,6,5,3,7,4,1]=>[7,1,3,4,6,2,5,8]=>[1,4,3]=>11000100=>3 [2,5,6,4,7,1,8,3]=>[7,4,3,5,2,8,1,6]=>[1,1,2,2,2]=>11101010=>5 [2,6,5,4,1,7,8,3]=>[7,3,4,5,8,2,1,6]=>[1,4,1,2]=>11000110=>3 [2,5,4,8,1,6,7,3]=>[7,4,5,1,8,3,2,6]=>[1,2,2,1,2]=>11010110=>5 [5,7,6,3,2,8,1,4]=>[4,2,3,6,7,1,8,5]=>[1,4,2,1]=>11000101=>4 [6,5,7,3,2,8,1,4]=>[3,4,2,6,7,1,8,5]=>[2,3,2,1]=>10100101=>6 [6,4,7,3,8,2,1,5]=>[3,5,2,6,1,7,8,4]=>[2,2,3,1]=>10101001=>6 [3,6,4,2,7,1,8,5]=>[6,3,5,7,2,8,1,4]=>[1,3,2,2]=>11001010=>5 [7,5,4,2,3,8,6,1]=>[2,4,5,7,6,1,3,8]=>[4,1,3]=>10001100=>3 [6,7,4,3,2,1,8,5]=>[3,2,5,6,7,8,1,4]=>[1,5,2]=>11000010=>3 [8,4,3,7,2,1,5,6]=>[1,5,6,2,7,8,4,3]=>[3,3,1,1]=>10010011=>4 [8,4,6,3,2,1,5,7]=>[1,5,3,6,7,8,4,2]=>[2,4,1,1]=>10100011=>4 [4,6,3,2,1,5,7,8]=>[5,3,6,7,8,4,2,1]=>[1,4,1,1,1]=>11000111=>2 [1,2,6,5,8,7,3,4]=>[8,7,3,4,1,2,6,5]=>[1,1,2,3,1]=>11101001=>4 [1,5,2,8,4,6,7,3]=>[8,4,7,1,5,3,2,6]=>[1,2,2,1,2]=>11010110=>5 [1,5,2,7,4,6,8,3]=>[8,4,7,2,5,3,1,6]=>[1,2,2,1,2]=>11010110=>5 [5,1,2,7,3,6,8,4]=>[4,8,7,2,6,3,1,5]=>[2,1,2,1,2]=>10110110=>5 [5,1,2,8,3,6,7,4]=>[4,8,7,1,6,3,2,5]=>[2,1,2,1,2]=>10110110=>5 [5,6,3,4,8,7,2,1]=>[4,3,6,5,1,2,7,8]=>[1,2,1,4]=>11011000=>3 [6,5,3,4,8,7,2,1]=>[3,4,6,5,1,2,7,8]=>[3,1,4]=>10011000=>3 [4,1,2,8,3,6,7,5]=>[5,8,7,1,6,3,2,4]=>[2,1,2,1,2]=>10110110=>5 [4,1,2,7,3,6,8,5]=>[5,8,7,2,6,3,1,4]=>[2,1,2,1,2]=>10110110=>5 [5,1,2,8,3,6,4,7]=>[4,8,7,1,6,3,5,2]=>[2,1,2,2,1]=>10110101=>6 [7,5,3,8,4,6,2,1]=>[2,4,6,1,5,3,7,8]=>[3,2,3]=>10010100=>5 [8,5,3,7,4,6,2,1]=>[1,4,6,2,5,3,7,8]=>[3,2,3]=>10010100=>5 [4,1,2,7,3,6,5,8]=>[5,8,7,2,6,3,4,1]=>[2,1,2,2,1]=>10110101=>6 [6,1,7,2,3,5,4,8]=>[3,8,2,7,6,4,5,1]=>[2,2,1,2,1]=>10101101=>6 [1,6,7,2,4,5,3,8]=>[8,3,2,7,5,4,6,1]=>[1,1,2,1,2,1]=>11101101=>4 [1,6,8,2,4,5,3,7]=>[8,3,1,7,5,4,6,2]=>[1,1,2,1,2,1]=>11101101=>4 [5,8,1,2,3,4,7,6]=>[4,1,8,7,6,5,2,3]=>[1,2,1,1,1,2]=>11011110=>3 [7,1,8,2,3,5,4,6]=>[2,8,1,7,6,4,5,3]=>[2,2,1,2,1]=>10101101=>6 [7,1,2,8,3,6,4,5]=>[2,8,7,1,6,3,5,4]=>[2,1,2,2,1]=>10110101=>6 [6,1,8,2,3,5,7,4]=>[3,8,1,7,6,4,2,5]=>[2,2,1,1,2]=>10101110=>5 [6,1,7,2,3,5,8,4]=>[3,8,2,7,6,4,1,5]=>[2,2,1,1,2]=>10101110=>5 [1,6,7,2,4,5,8,3]=>[8,3,2,7,5,4,1,6]=>[1,1,2,1,1,2]=>11101110=>3 [1,6,8,2,4,5,7,3]=>[8,3,1,7,5,4,2,6]=>[1,1,2,1,1,2]=>11101110=>3 [4,3,8,7,5,6,2,1]=>[5,6,1,2,4,3,7,8]=>[2,3,3]=>10100100=>5 [1,8,2,7,4,6,5,3]=>[8,1,7,2,5,3,4,6]=>[1,2,2,3]=>11010100=>5 [1,8,6,2,4,5,7,3]=>[8,1,3,7,5,4,2,6]=>[1,3,1,1,2]=>11001110=>3 [1,7,6,2,4,5,8,3]=>[8,2,3,7,5,4,1,6]=>[1,3,1,1,2]=>11001110=>3 [7,1,6,2,3,5,8,4]=>[2,8,3,7,6,4,1,5]=>[2,2,1,1,2]=>10101110=>5 [8,1,6,2,3,5,7,4]=>[1,8,3,7,6,4,2,5]=>[2,2,1,1,2]=>10101110=>5 [8,1,7,2,3,5,6,4]=>[1,8,2,7,6,4,3,5]=>[2,2,1,1,2]=>10101110=>5 [5,8,3,7,4,6,2,1]=>[4,1,6,2,5,3,7,8]=>[1,2,2,3]=>11010100=>5 [6,8,7,3,4,5,2,1]=>[3,1,2,6,5,4,7,8]=>[1,3,1,3]=>11001100=>3 [1,8,7,2,4,5,3,6]=>[8,1,2,7,5,4,6,3]=>[1,3,1,2,1]=>11001101=>4 [8,1,7,2,3,5,4,6]=>[1,8,2,7,6,4,5,3]=>[2,2,1,2,1]=>10101101=>6 [8,7,1,2,3,4,6,5]=>[1,2,8,7,6,5,3,4]=>[3,1,1,1,2]=>10011110=>3 [8,6,1,2,3,4,7,5]=>[1,3,8,7,6,5,2,4]=>[3,1,1,1,2]=>10011110=>3 [8,5,1,2,3,4,7,6]=>[1,4,8,7,6,5,2,3]=>[3,1,1,1,2]=>10011110=>3 [8,1,6,2,3,5,4,7]=>[1,8,3,7,6,4,5,2]=>[2,2,1,2,1]=>10101101=>6 [1,8,6,2,4,5,3,7]=>[8,1,3,7,5,4,6,2]=>[1,3,1,2,1]=>11001101=>4 [1,7,6,2,4,5,3,8]=>[8,2,3,7,5,4,6,1]=>[1,3,1,2,1]=>11001101=>4 [7,1,6,2,3,5,4,8]=>[2,8,3,7,6,4,5,1]=>[2,2,1,2,1]=>10101101=>6 [1,8,7,4,6,3,5,2]=>[8,1,2,5,3,6,4,7]=>[1,3,2,2]=>11001010=>5 [6,7,2,5,1,4,8,3]=>[3,2,7,4,8,5,1,6]=>[1,2,2,1,2]=>11010110=>5 [6,3,7,5,1,4,8,2]=>[3,6,2,4,8,5,1,7]=>[2,3,1,2]=>10100110=>5 [4,2,5,8,7,3,6,1]=>[5,7,4,1,2,6,3,8]=>[2,1,3,2]=>10110010=>5 [8,1,2,4,7,3,6,5]=>[1,8,7,5,2,6,3,4]=>[2,1,1,2,2]=>10111010=>5 [1,8,3,5,7,2,6,4]=>[8,1,6,4,2,7,3,5]=>[1,2,1,2,2]=>11011010=>5 [1,3,4,8,7,5,6,2]=>[8,6,5,1,2,4,3,7]=>[1,1,1,3,2]=>11110010=>3 [2,3,4,6,8,5,7,1]=>[7,6,5,3,1,4,2,8]=>[1,1,1,1,2,2]=>11111010=>3 [2,3,5,7,4,8,6,1]=>[7,6,4,2,5,1,3,8]=>[1,1,1,2,3]=>11110100=>3 [2,4,6,3,7,8,5,1]=>[7,5,3,6,2,1,4,8]=>[1,1,2,1,3]=>11101100=>3 [2,5,7,1,8,6,3,4]=>[7,4,2,8,1,3,6,5]=>[1,1,2,3,1]=>11101001=>4 [1,5,6,8,3,7,4,2]=>[8,4,3,1,6,2,5,7]=>[1,1,1,2,3]=>11110100=>3 [8,1,3,5,2,7,4,6]=>[1,8,6,4,7,2,5,3]=>[2,1,2,2,1]=>10110101=>6 [8,2,4,5,1,3,7,6]=>[1,7,5,4,8,6,2,3]=>[2,1,2,1,2]=>10110110=>5 [1,3,8,5,2,4,6,7]=>[8,6,1,4,7,5,3,2]=>[1,1,3,1,1,1]=>11100111=>2 [1,4,7,8,3,5,6,2]=>[8,5,2,1,6,4,3,7]=>[1,1,1,2,1,2]=>11110110=>3 [2,6,7,1,8,4,5,3]=>[7,3,2,8,1,5,4,6]=>[1,1,2,2,2]=>11101010=>5 [4,5,6,1,3,7,8,2]=>[5,4,3,8,6,2,1,7]=>[1,1,2,1,1,2]=>11101110=>3 [3,4,1,8,5,2,6,7]=>[6,5,8,1,4,7,3,2]=>[1,2,3,1,1]=>11010011=>4 [2,4,8,1,5,3,6,7]=>[7,5,1,8,4,6,3,2]=>[1,1,2,2,1,1]=>11101011=>4 [5,8,3,1,4,2,6,7]=>[4,1,6,8,5,7,3,2]=>[1,3,2,1,1]=>11001011=>4 [8,2,4,1,5,7,3,6]=>[1,7,5,8,4,2,6,3]=>[2,2,1,2,1]=>10101101=>6 [2,4,1,8,5,6,3,7]=>[7,5,8,1,4,3,6,2]=>[1,2,2,2,1]=>11010101=>6 [1,6,2,7,8,5,3,4]=>[8,3,7,2,1,4,6,5]=>[1,2,1,3,1]=>11011001=>4 [3,5,2,6,7,8,4,1]=>[6,4,7,3,2,1,5,8]=>[1,2,1,1,3]=>11011100=>3 [4,5,1,6,7,3,8,2]=>[5,4,8,3,2,6,1,7]=>[1,2,1,2,2]=>11011010=>5 [8,5,3,1,7,4,2,6]=>[1,4,6,8,2,5,7,3]=>[4,3,1]=>10001001=>4 [4,2,8,7,1,5,3,6]=>[5,7,1,2,8,4,6,3]=>[2,3,2,1]=>10100101=>6 [5,7,3,2,6,8,1,4]=>[4,2,6,7,3,1,8,5]=>[1,3,1,2,1]=>11001101=>4 [8,4,7,3,1,6,2,5]=>[1,5,2,6,8,3,7,4]=>[2,3,2,1]=>10100101=>6 [5,7,1,2,8,4,6,3]=>[4,2,8,7,1,5,3,6]=>[1,2,1,2,2]=>11011010=>5 [6,7,1,2,3,5,8,4]=>[3,2,8,7,6,4,1,5]=>[1,2,1,1,1,2]=>11011110=>3 [6,1,7,2,3,8,5,4]=>[3,8,2,7,6,1,4,5]=>[2,2,1,3]=>10101100=>5 [3,2,8,6,1,4,5,7]=>[6,7,1,3,8,5,4,2]=>[2,3,1,1,1]=>10100111=>4 [3,1,6,7,8,4,2,5]=>[6,8,3,2,1,5,7,4]=>[2,1,1,3,1]=>10111001=>4 [3,1,4,8,5,6,2,7]=>[6,8,5,1,4,3,7,2]=>[2,1,2,2,1]=>10110101=>6 [5,1,8,2,3,6,4,7]=>[4,8,1,7,6,3,5,2]=>[2,2,1,2,1]=>10101101=>6 [8,3,1,4,5,7,2,6]=>[1,6,8,5,4,2,7,3]=>[3,1,1,2,1]=>10011101=>4 [1,6,7,8,9,2,3,4,5]=>[9,4,3,2,1,8,7,6,5]=>[1,1,1,1,2,1,1,1]=>111110111=>2 [1,7,8,9,2,3,4,5,6]=>[9,3,2,1,8,7,6,5,4]=>[1,1,1,2,1,1,1,1]=>111101111=>2 [8,6,2,3,5,1,4,7]=>[1,3,7,6,4,8,5,2]=>[3,1,2,1,1]=>10011011=>4 [2,6,3,8,7,5,4,1]=>[7,3,6,1,2,4,5,8]=>[1,2,5]=>11010000=>3 [8,2,3,7,5,4,1,6]=>[1,7,6,2,4,5,8,3]=>[2,1,4,1]=>10110001=>4 [8,2,6,3,5,4,1,7]=>[1,7,3,6,4,5,8,2]=>[2,2,3,1]=>10101001=>6 [8,6,1,5,2,4,3,7]=>[1,3,8,4,7,5,6,2]=>[3,2,2,1]=>10010101=>6 [8,6,2,4,1,5,3,7]=>[1,3,7,5,8,4,6,2]=>[3,2,2,1]=>10010101=>6 [8,4,1,6,5,3,2,7]=>[1,5,8,3,4,6,7,2]=>[3,4,1]=>10010001=>4 [8,3,6,1,5,4,2,7]=>[1,6,3,8,4,5,7,2]=>[2,2,3,1]=>10101001=>6 [8,3,2,6,5,4,1,7]=>[1,6,7,3,4,5,8,2]=>[3,4,1]=>10010001=>4 [8,3,2,5,7,4,1,6]=>[1,6,7,4,2,5,8,3]=>[3,1,3,1]=>10011001=>4 [8,3,1,7,5,4,2,6]=>[1,6,8,2,4,5,7,3]=>[3,4,1]=>10010001=>4 [8,2,7,4,1,5,3,6]=>[1,7,2,5,8,4,6,3]=>[2,3,2,1]=>10100101=>6 [6,1,3,8,7,5,4,2]=>[3,8,6,1,2,4,5,7]=>[2,1,5]=>10110000=>3 [3,6,1,8,7,5,4,2]=>[6,3,8,1,2,4,5,7]=>[1,2,5]=>11010000=>3 [3,8,1,5,7,6,4,2]=>[6,1,8,4,2,3,5,7]=>[1,2,1,4]=>11011000=>3 [3,5,2,8,7,6,4,1]=>[6,4,7,1,2,3,5,8]=>[1,2,5]=>11010000=>3 [3,4,8,2,7,6,5,1]=>[6,5,1,7,2,3,4,8]=>[1,1,2,4]=>11101000=>3 [3,4,8,7,1,6,5,2]=>[6,5,1,2,8,3,4,7]=>[1,1,3,3]=>11100100=>3 [8,1,3,5,7,6,4,2]=>[1,8,6,4,2,3,5,7]=>[2,1,1,4]=>10111000=>3 [4,1,8,5,7,6,3,2]=>[5,8,1,4,2,3,6,7]=>[2,2,4]=>10101000=>5 [8,2,7,1,4,5,6,3]=>[1,7,2,8,5,4,3,6]=>[2,2,1,1,2]=>10101110=>5 [8,1,7,3,4,6,2,5]=>[1,8,2,6,5,3,7,4]=>[2,2,1,2,1]=>10101101=>6 [8,3,1,7,2,6,5,4]=>[1,6,8,2,7,3,4,5]=>[3,2,3]=>10010100=>5 [3,8,2,4,7,6,5,1]=>[6,1,7,5,2,3,4,8]=>[1,2,1,4]=>11011000=>3 [2,8,3,7,4,6,5,1]=>[7,1,6,2,5,3,4,8]=>[1,2,2,3]=>11010100=>5 [8,2,3,7,1,6,5,4]=>[1,7,6,2,8,3,4,5]=>[2,1,2,3]=>10110100=>5 [8,2,7,1,3,6,5,4]=>[1,7,2,8,6,3,4,5]=>[2,2,1,3]=>10101100=>5 [8,1,7,2,6,4,3,5]=>[1,8,2,7,3,5,6,4]=>[2,2,3,1]=>10101001=>6 [8,1,7,5,2,4,3,6]=>[1,8,2,4,7,5,6,3]=>[2,3,2,1]=>10100101=>6 [8,2,3,7,4,6,1,5]=>[1,7,6,2,5,3,8,4]=>[2,1,2,2,1]=>10110101=>6 [2,4,8,5,7,6,3,1]=>[7,5,1,4,2,3,6,8]=>[1,1,2,4]=>11101000=>3 [8,2,4,3,7,6,1,5]=>[1,7,5,6,2,3,8,4]=>[2,2,3,1]=>10101001=>6 [8,2,7,3,5,1,4,6]=>[1,7,2,6,4,8,5,3]=>[2,2,2,1,1]=>10101011=>6 [8,2,7,4,3,1,5,6]=>[1,7,2,5,6,8,4,3]=>[2,4,1,1]=>10100011=>4 [8,2,1,5,7,6,4,3]=>[1,7,8,4,2,3,5,6]=>[3,1,4]=>10011000=>3 [6,2,1,8,7,5,4,3]=>[3,7,8,1,2,4,5,6]=>[3,5]=>10010000=>3 [6,1,8,2,7,5,4,3]=>[3,8,1,7,2,4,5,6]=>[2,2,4]=>10101000=>5 [8,1,7,3,5,2,6,4]=>[1,8,2,6,4,7,3,5]=>[2,2,2,2]=>10101010=>7 [8,1,5,2,7,6,4,3]=>[1,8,4,7,2,3,5,6]=>[2,2,4]=>10101000=>5 [8,1,7,2,4,6,5,3]=>[1,8,2,7,5,3,4,6]=>[2,2,1,3]=>10101100=>5 [8,2,4,1,7,6,5,3]=>[1,7,5,8,2,3,4,6]=>[2,2,4]=>10101000=>5 [4,2,8,3,7,6,5,1]=>[5,7,1,6,2,3,4,8]=>[2,2,4]=>10101000=>5 [4,8,2,1,7,6,5,3]=>[5,1,7,8,2,3,4,6]=>[1,3,4]=>11001000=>3 [5,1,8,7,2,6,4,3]=>[4,8,1,2,7,3,5,6]=>[2,3,3]=>10100100=>5 [5,8,1,3,7,6,2,4]=>[4,1,8,6,2,3,7,5]=>[1,2,1,3,1]=>11011001=>4 [8,2,5,4,1,7,6,3]=>[1,7,4,5,8,2,3,6]=>[2,3,3]=>10100100=>5 [5,1,4,8,7,6,3,2]=>[4,8,5,1,2,3,6,7]=>[2,1,5]=>10110000=>3 [8,1,4,3,7,6,5,2]=>[1,8,5,6,2,3,4,7]=>[2,2,4]=>10101000=>5 [4,8,1,3,7,6,5,2]=>[5,1,8,6,2,3,4,7]=>[1,2,1,4]=>11011000=>3 [4,3,8,1,7,6,5,2]=>[5,6,1,8,2,3,4,7]=>[2,2,4]=>10101000=>5 [5,8,6,3,2,1,7,4]=>[4,1,3,6,7,8,2,5]=>[1,5,2]=>11000010=>3 [5,1,7,4,3,2,6,8]=>[4,8,2,5,6,7,3,1]=>[2,4,1,1]=>10100011=>4 [6,5,7,2,4,3,1,8]=>[3,4,2,7,5,6,8,1]=>[2,2,3,1]=>10101001=>6 [5,7,1,3,2,8,6,4]=>[4,2,8,6,7,1,3,5]=>[1,2,2,3]=>11010100=>5 [5,8,1,3,2,7,4,6]=>[4,1,8,6,7,2,5,3]=>[1,2,2,2,1]=>11010101=>6 [8,5,1,3,2,4,6,7]=>[1,4,8,6,7,5,3,2]=>[3,2,1,1,1]=>10010111=>4 [7,5,1,3,2,4,8,6]=>[2,4,8,6,7,5,1,3]=>[3,2,1,2]=>10010110=>5 [7,5,8,2,1,4,3,6]=>[2,4,1,7,8,5,6,3]=>[2,3,2,1]=>10100101=>6 [6,7,1,2,5,4,8,3]=>[3,2,8,7,4,5,1,6]=>[1,2,1,2,2]=>11011010=>5 [7,4,3,1,2,8,6,5]=>[2,5,6,8,7,1,3,4]=>[4,1,3]=>10001100=>3 [3,2,8,1,4,7,5,6]=>[6,7,1,8,5,2,4,3]=>[2,2,1,2,1]=>10101101=>6 [6,8,1,2,5,7,4,3]=>[3,1,8,7,4,2,5,6]=>[1,2,1,1,3]=>11011100=>3 [7,1,2,3,8,6,4,5]=>[2,8,7,6,1,3,5,4]=>[2,1,1,3,1]=>10111001=>4 [8,1,6,4,2,3,5,7]=>[1,8,3,5,7,6,4,2]=>[2,3,1,1,1]=>10100111=>4 [4,1,3,8,2,5,7,6]=>[5,8,6,1,7,4,2,3]=>[2,1,2,1,2]=>10110110=>5 [6,8,5,3,4,1,7,2]=>[3,1,4,6,5,8,2,7]=>[1,3,2,2]=>11001010=>5 [1,5,4,8,2,3,7,6]=>[8,4,5,1,7,6,2,3]=>[1,2,2,1,2]=>11010110=>5 [8,5,7,4,1,3,6,2]=>[1,4,2,5,8,6,3,7]=>[2,3,1,2]=>10100110=>5 [7,6,8,1,3,4,2,5]=>[2,3,1,8,6,5,7,4]=>[2,2,1,2,1]=>10101101=>6 [7,5,8,2,3,1,4,6]=>[2,4,1,7,6,8,5,3]=>[2,2,2,1,1]=>10101011=>6 [7,4,1,2,6,8,3,5]=>[2,5,8,7,3,1,6,4]=>[3,1,1,2,1]=>10011101=>4 [7,1,3,8,2,5,6,4]=>[2,8,6,1,7,4,3,5]=>[2,1,2,1,2]=>10110110=>5 [7,2,5,4,1,8,6,3]=>[2,7,4,5,8,1,3,6]=>[2,3,3]=>10100100=>5 [7,3,5,4,2,1,8,6]=>[2,6,4,5,7,8,1,3]=>[2,4,2]=>10100010=>5 [7,4,5,2,1,6,8,3]=>[2,5,4,7,8,3,1,6]=>[2,3,1,2]=>10100110=>5 [7,4,3,2,6,1,8,5]=>[2,5,6,7,3,8,1,4]=>[4,2,2]=>10001010=>5 [7,3,2,8,5,6,1,4]=>[2,6,7,1,4,3,8,5]=>[3,2,2,1]=>10010101=>6 [7,2,5,4,1,6,3,8]=>[2,7,4,5,8,3,6,1]=>[2,3,2,1]=>10100101=>6 [1,5,2,4,7,8,3,6]=>[8,4,7,5,2,1,6,3]=>[1,2,1,1,2,1]=>11011101=>4 [3,5,1,2,8,6,7,4]=>[6,4,8,7,1,3,2,5]=>[1,2,1,2,2]=>11011010=>5 [2,5,3,4,7,8,1,6]=>[7,4,6,5,2,1,8,3]=>[1,2,1,1,2,1]=>11011101=>4 [1,7,4,3,6,8,5,2]=>[8,2,5,6,3,1,4,7]=>[1,3,1,3]=>11001100=>3 [3,7,1,8,2,5,6,4]=>[6,2,8,1,7,4,3,5]=>[1,2,2,1,2]=>11010110=>5 [4,7,6,3,2,5,8,1]=>[5,2,3,6,7,4,1,8]=>[1,4,1,2]=>11000110=>3 [4,7,6,5,2,3,8,1]=>[5,2,3,4,7,6,1,8]=>[1,4,1,2]=>11000110=>3 [4,7,6,5,1,3,8,2]=>[5,2,3,4,8,6,1,7]=>[1,4,1,2]=>11000110=>3 [1,7,6,5,2,3,8,4]=>[8,2,3,4,7,6,1,5]=>[1,4,1,2]=>11000110=>3 [1,7,6,5,8,3,2,4]=>[8,2,3,4,1,6,7,5]=>[1,3,3,1]=>11001001=>4 [4,7,6,5,1,3,2,8]=>[5,2,3,4,8,6,7,1]=>[1,4,2,1]=>11000101=>4 [4,7,6,5,3,8,1,2]=>[5,2,3,4,6,1,8,7]=>[1,4,2,1]=>11000101=>4 [5,7,6,3,2,8,4,1]=>[4,2,3,6,7,1,5,8]=>[1,4,3]=>11000100=>3 [6,3,4,2,8,1,5,7]=>[3,6,5,7,1,8,4,2]=>[2,2,2,1,1]=>10101011=>6 [6,7,3,2,1,8,5,4]=>[3,2,6,7,8,1,4,5]=>[1,4,3]=>11000100=>3 [5,7,6,2,1,4,8,3]=>[4,2,3,7,8,5,1,6]=>[1,4,1,2]=>11000110=>3 [1,7,6,3,2,8,4,5]=>[8,2,3,6,7,1,5,4]=>[1,4,2,1]=>11000101=>4 [5,4,2,1,7,3,6,8]=>[4,5,7,8,2,6,3,1]=>[4,2,1,1]=>10001011=>4 [6,5,8,1,7,3,4,2]=>[3,4,1,8,2,6,5,7]=>[2,2,2,2]=>10101010=>7 [6,5,8,3,4,1,7,2]=>[3,4,1,6,5,8,2,7]=>[2,2,2,2]=>10101010=>7 [5,7,3,6,8,1,4,2]=>[4,2,6,3,1,8,5,7]=>[1,2,1,2,2]=>11011010=>5 [5,7,2,6,3,1,4,8]=>[4,2,7,3,6,8,5,1]=>[1,2,3,1,1]=>11010011=>4 [4,1,2,8,5,6,3,7]=>[5,8,7,1,4,3,6,2]=>[2,1,2,2,1]=>10110101=>6 [4,1,2,8,5,3,6,7]=>[5,8,7,1,4,6,3,2]=>[2,1,3,1,1]=>10110011=>4 [2,1,6,3,7,8,5,4]=>[7,8,3,6,2,1,4,5]=>[2,2,1,3]=>10101100=>5 [4,7,1,6,8,2,5,3]=>[5,2,8,3,1,7,4,6]=>[1,2,1,2,2]=>11011010=>5 [3,7,4,1,6,5,2,8]=>[6,2,5,8,3,4,7,1]=>[1,3,3,1]=>11001001=>4 [3,7,2,1,4,5,6,8]=>[6,2,7,8,5,4,3,1]=>[1,3,1,1,1,1]=>11001111=>2 [3,5,8,2,6,1,7,4]=>[6,4,1,7,3,8,2,5]=>[1,1,2,2,2]=>11101010=>5 [4,2,7,8,3,5,1,6]=>[5,7,2,1,6,4,8,3]=>[2,1,2,2,1]=>10110101=>6 [4,5,1,7,3,6,8,2]=>[5,4,8,2,6,3,1,7]=>[1,2,2,1,2]=>11010110=>5 [4,3,2,8,5,1,6,7]=>[5,6,7,1,4,8,3,2]=>[3,3,1,1]=>10010011=>4 [3,7,6,1,5,2,8,4]=>[6,2,3,8,4,7,1,5]=>[1,3,2,2]=>11001010=>5 [3,7,6,5,8,4,1,2]=>[6,2,3,4,1,5,8,7]=>[1,3,3,1]=>11001001=>4 [1,7,6,2,5,8,4,3]=>[8,2,3,7,4,1,5,6]=>[1,3,1,3]=>11001100=>3 [1,7,6,5,8,4,2,3]=>[8,2,3,4,1,5,7,6]=>[1,3,3,1]=>11001001=>4 [3,7,6,5,8,1,2,4]=>[6,2,3,4,1,8,7,5]=>[1,3,2,1,1]=>11001011=>4 [3,7,6,2,8,4,5,1]=>[6,2,3,7,1,5,4,8]=>[1,3,2,2]=>11001010=>5 [3,7,6,1,5,4,8,2]=>[6,2,3,8,4,5,1,7]=>[1,3,2,2]=>11001010=>5 [4,7,2,6,8,5,1,3]=>[5,2,7,3,1,4,8,6]=>[1,2,1,3,1]=>11011001=>4 [2,7,1,5,8,4,3,6]=>[7,2,8,4,1,5,6,3]=>[1,2,1,3,1]=>11011001=>4 [2,7,6,1,8,4,3,5]=>[7,2,3,8,1,5,6,4]=>[1,3,3,1]=>11001001=>4 [6,2,7,5,8,4,3,1]=>[3,7,2,4,1,5,6,8]=>[2,2,4]=>10101000=>5 [7,2,5,1,4,6,3,8]=>[2,7,4,8,5,3,6,1]=>[2,2,1,2,1]=>10101101=>6 [7,1,5,4,3,6,2,8]=>[2,8,4,5,6,3,7,1]=>[2,3,2,1]=>10100101=>6 [6,7,8,4,2,5,3,1]=>[3,2,1,5,7,4,6,8]=>[1,1,3,3]=>11100100=>3 [6,1,2,5,7,8,4,3]=>[3,8,7,4,2,1,5,6]=>[2,1,1,1,3]=>10111100=>3 [3,7,8,6,2,5,1,4]=>[6,2,1,3,7,4,8,5]=>[1,1,3,2,1]=>11100101=>4 [3,6,1,4,8,7,5,2]=>[6,3,8,5,1,2,4,7]=>[1,2,1,4]=>11011000=>3 [4,1,2,7,8,5,3,6]=>[5,8,7,2,1,4,6,3]=>[2,1,1,3,1]=>10111001=>4 [4,7,3,1,6,2,8,5]=>[5,2,6,8,3,7,1,4]=>[1,3,2,2]=>11001010=>5 [4,7,3,1,2,6,8,5]=>[5,2,6,8,7,3,1,4]=>[1,3,1,1,2]=>11001110=>3 [3,7,6,1,5,8,2,4]=>[6,2,3,8,4,1,7,5]=>[1,3,1,2,1]=>11001101=>4 [2,7,6,5,4,1,8,3]=>[7,2,3,4,5,8,1,6]=>[1,5,2]=>11000010=>3 [2,7,1,8,5,3,6,4]=>[7,2,8,1,4,6,3,5]=>[1,2,3,2]=>11010010=>5 [3,8,5,4,6,7,1,2]=>[6,1,4,5,3,2,8,7]=>[1,3,1,2,1]=>11001101=>4 [1,2,6,4,3,5,8,7]=>[8,7,3,5,6,4,1,2]=>[1,1,3,1,2]=>11100110=>3 [4,2,7,5,8,3,1,6]=>[5,7,2,4,1,6,8,3]=>[2,2,3,1]=>10101001=>6 [4,2,7,1,3,8,6,5]=>[5,7,2,8,6,1,3,4]=>[2,2,1,3]=>10101100=>5 [4,8,1,6,2,7,5,3]=>[5,1,8,3,7,2,4,6]=>[1,2,2,3]=>11010100=>5 [5,7,2,3,1,4,6,8]=>[4,2,7,6,8,5,3,1]=>[1,2,2,1,1,1]=>11010111=>4 [6,5,1,3,2,7,4,8]=>[3,4,8,6,7,2,5,1]=>[3,2,2,1]=>10010101=>6 [6,5,2,3,1,7,4,8]=>[3,4,7,6,8,2,5,1]=>[3,2,2,1]=>10010101=>6 [6,1,8,4,2,7,5,3]=>[3,8,1,5,7,2,4,6]=>[2,3,3]=>10100100=>5 [5,7,2,3,8,4,1,6]=>[4,2,7,6,1,5,8,3]=>[1,2,1,3,1]=>11011001=>4 [5,2,1,4,7,8,3,6]=>[4,7,8,5,2,1,6,3]=>[3,1,1,2,1]=>10011101=>4 [5,6,2,7,3,4,8,1]=>[4,3,7,2,6,5,1,8]=>[1,2,2,1,2]=>11010110=>5 [6,1,3,8,5,4,7,2]=>[3,8,6,1,4,5,2,7]=>[2,1,3,2]=>10110010=>5 [3,7,8,6,1,2,4,5]=>[6,2,1,3,8,7,5,4]=>[1,1,3,1,1,1]=>11100111=>2 [2,7,6,8,5,1,3,4]=>[7,2,3,1,4,8,6,5]=>[1,2,3,1,1]=>11010011=>4 [2,7,8,6,1,5,4,3]=>[7,2,1,3,8,4,5,6]=>[1,1,3,3]=>11100100=>3 [2,7,6,8,5,3,1,4]=>[7,2,3,1,4,6,8,5]=>[1,2,4,1]=>11010001=>4 [1,7,8,6,5,2,3,4]=>[8,2,1,3,4,7,6,5]=>[1,1,4,1,1]=>11100011=>2 [5,7,4,6,3,1,2,8]=>[4,2,5,3,6,8,7,1]=>[1,2,3,1,1]=>11010011=>4 [5,6,1,8,3,7,4,2]=>[4,3,8,1,6,2,5,7]=>[1,2,2,3]=>11010100=>5 [4,7,6,8,1,2,3,5]=>[5,2,3,1,8,7,6,4]=>[1,2,2,1,1,1]=>11010111=>4 [2,8,4,1,5,7,3,6]=>[7,1,5,8,4,2,6,3]=>[1,3,1,2,1]=>11001101=>4 [1,5,8,6,4,2,3,7]=>[8,4,1,3,5,7,6,2]=>[1,1,4,1,1]=>11100011=>2 [2,8,5,7,4,3,6,1]=>[7,1,4,2,5,6,3,8]=>[1,2,3,2]=>11010010=>5 [2,8,4,6,3,1,7,5]=>[7,1,5,3,6,8,2,4]=>[1,2,3,2]=>11010010=>5 [2,8,6,5,1,4,7,3]=>[7,1,3,4,8,5,2,6]=>[1,4,1,2]=>11000110=>3 [2,8,4,3,1,6,7,5]=>[7,1,5,6,8,3,2,4]=>[1,4,1,2]=>11000110=>3 [1,2,8,7,4,3,5,6]=>[8,7,1,2,5,6,4,3]=>[1,1,4,1,1]=>11100011=>2 [2,4,8,6,3,5,7,1]=>[7,5,1,3,6,4,2,8]=>[1,1,3,1,2]=>11100110=>3 [4,6,8,1,3,2,5,7]=>[5,3,1,8,6,7,4,2]=>[1,1,2,2,1,1]=>11101011=>4 [2,4,6,1,5,7,3,8]=>[7,5,3,8,4,2,6,1]=>[1,1,2,1,2,1]=>11101101=>4 [2,5,6,8,7,4,1,3]=>[7,4,3,1,2,5,8,6]=>[1,1,1,4,1]=>11110001=>2 [5,7,2,3,6,1,4,8]=>[4,2,7,6,3,8,5,1]=>[1,2,1,2,1,1]=>11011011=>4 [3,2,7,4,1,8,5,6]=>[6,7,2,5,8,1,4,3]=>[2,3,2,1]=>10100101=>6 [1,6,2,3,5,8,7,4]=>[8,3,7,6,4,1,2,5]=>[1,2,1,1,3]=>11011100=>3 [1,7,2,3,6,5,8,4]=>[8,2,7,6,3,4,1,5]=>[1,2,1,2,2]=>11011010=>5 [4,7,2,3,1,6,8,5]=>[5,2,7,6,8,3,1,4]=>[1,2,2,1,2]=>11010110=>5 [4,7,2,3,1,5,6,8]=>[5,2,7,6,8,4,3,1]=>[1,2,2,1,1,1]=>11010111=>4 [7,4,6,2,8,3,5,1]=>[2,5,3,7,1,6,4,8]=>[2,2,2,2]=>10101010=>7 [7,3,5,1,4,8,2,6]=>[2,6,4,8,5,1,7,3]=>[2,2,1,2,1]=>10101101=>6 [7,2,5,1,4,8,6,3]=>[2,7,4,8,5,1,3,6]=>[2,2,1,3]=>10101100=>5 [3,4,6,5,1,2,7,8]=>[6,5,3,4,8,7,2,1]=>[1,1,3,1,1,1]=>11100111=>2 [1,2,7,4,5,8,6,3]=>[8,7,2,5,4,1,3,6]=>[1,1,2,1,3]=>11101100=>3 [1,5,3,6,8,4,2,7]=>[8,4,6,3,1,5,7,2]=>[1,2,1,3,1]=>11011001=>4 [7,5,4,3,8,6,2,1]=>[2,4,5,6,1,3,7,8]=>[4,4]=>10001000=>3 [6,7,5,1,3,4,2,8]=>[3,2,4,8,6,5,7,1]=>[1,3,1,2,1]=>11001101=>4 [4,3,8,2,5,7,1,6]=>[5,6,1,7,4,2,8,3]=>[2,2,1,2,1]=>10101101=>6 [4,1,6,2,5,3,7,8]=>[5,8,3,7,4,6,2,1]=>[2,2,2,1,1]=>10101011=>6 [5,1,8,6,4,7,2,3]=>[4,8,1,3,5,2,7,6]=>[2,3,2,1]=>10100101=>6 [4,1,8,5,6,3,7,2]=>[5,8,1,4,3,6,2,7]=>[2,2,2,2]=>10101010=>7 [4,2,6,1,5,3,8,7]=>[5,7,3,8,4,6,1,2]=>[2,2,2,2]=>10101010=>7 [6,7,2,3,1,5,8,4]=>[3,2,7,6,8,4,1,5]=>[1,2,2,1,2]=>11010110=>5 [7,5,2,3,8,1,6,4]=>[2,4,7,6,1,8,3,5]=>[3,1,2,2]=>10011010=>5 [6,7,2,3,5,1,4,8]=>[3,2,7,6,4,8,5,1]=>[1,2,1,2,1,1]=>11011011=>4 [5,2,7,8,6,1,3,4]=>[4,7,2,1,3,8,6,5]=>[2,1,3,1,1]=>10110011=>4 [2,1,7,8,6,3,5,4]=>[7,8,2,1,3,6,4,5]=>[2,1,3,2]=>10110010=>5 [6,5,2,3,8,1,7,4]=>[3,4,7,6,1,8,2,5]=>[3,1,2,2]=>10011010=>5 [7,5,2,3,8,4,1,6]=>[2,4,7,6,1,5,8,3]=>[3,1,3,1]=>10011001=>4 [8,7,4,6,2,1,3,5]=>[1,2,5,3,7,8,6,4]=>[3,3,1,1]=>10010011=>4 [4,5,1,7,6,3,8,2]=>[5,4,8,2,3,6,1,7]=>[1,2,3,2]=>11010010=>5 [7,8,2,4,1,6,3,5]=>[2,1,7,5,8,3,6,4]=>[1,2,2,2,1]=>11010101=>6 [6,7,1,5,4,8,2,3]=>[3,2,8,4,5,1,7,6]=>[1,2,2,2,1]=>11010101=>6 [1,8,7,5,2,3,6,4]=>[8,1,2,4,7,6,3,5]=>[1,4,1,2]=>11000110=>3 [8,1,7,5,2,3,4,6]=>[1,8,2,4,7,6,5,3]=>[2,3,1,1,1]=>10100111=>4 [8,6,3,1,4,2,5,7]=>[1,3,6,8,5,7,4,2]=>[4,2,1,1]=>10001011=>4 [4,5,1,6,2,8,7,3]=>[5,4,8,3,7,1,2,6]=>[1,2,2,3]=>11010100=>5 [4,5,1,3,8,7,6,2]=>[5,4,8,6,1,2,3,7]=>[1,2,1,4]=>11011000=>3 [4,8,3,6,1,7,2,5]=>[5,1,6,3,8,2,7,4]=>[1,2,2,2,1]=>11010101=>6 [8,5,6,1,7,4,3,2]=>[1,4,3,8,2,5,6,7]=>[2,2,4]=>10101000=>5 [9,2,3,4,5,6,7,8,1]=>[1,8,7,6,5,4,3,2,9]=>[2,1,1,1,1,1,2]=>101111110=>3 [8,2,3,4,5,6,7,1,9]=>[2,8,7,6,5,4,3,9,1]=>[2,1,1,1,1,2,1]=>101111101=>4 [7,2,3,4,5,6,1,8,9]=>[3,8,7,6,5,4,9,2,1]=>[2,1,1,1,2,1,1]=>101111011=>4 [6,2,3,4,5,1,7,8,9]=>[4,8,7,6,5,9,3,2,1]=>[2,1,1,2,1,1,1]=>101110111=>4 [5,2,3,4,1,6,7,8,9]=>[5,8,7,6,9,4,3,2,1]=>[2,1,2,1,1,1,1]=>101101111=>4 [4,2,3,1,5,6,7,8,9]=>[6,8,7,9,5,4,3,2,1]=>[2,2,1,1,1,1,1]=>101011111=>4 [1,2,4,6,8,9,7,5,3]=>[9,8,6,4,2,1,3,5,7]=>[1,1,1,1,1,4]=>111111000=>1 [1,2,4,5,3,6,7,8,9]=>[9,8,6,5,7,4,3,2,1]=>[1,1,1,2,1,1,1,1]=>111101111=>2 [1,2,4,6,8,5,7,3]=>[8,7,5,3,1,4,2,6]=>[1,1,1,1,2,2]=>11111010=>3 [2,1,7,5,8,6,3,4]=>[7,8,2,4,1,3,6,5]=>[2,2,3,1]=>10101001=>6 [4,7,3,8,6,5,2,1]=>[5,2,6,1,3,4,7,8]=>[1,2,5]=>11010000=>3 [7,3,8,4,6,5,1,2]=>[2,6,1,5,3,4,8,7]=>[2,2,3,1]=>10101001=>6 [7,4,3,6,5,8,1,2]=>[2,5,6,3,4,1,8,7]=>[3,2,2,1]=>10010101=>6 [4,5,8,7,2,6,1,3]=>[5,4,1,2,7,3,8,6]=>[1,1,3,2,1]=>11100101=>4 [4,2,7,6,5,8,3,1]=>[5,7,2,3,4,1,6,8]=>[2,3,3]=>10100100=>5 [4,6,7,8,5,2,3,1]=>[5,3,2,1,4,7,6,8]=>[1,1,1,3,2]=>11110010=>3 [4,5,3,8,2,7,6,1]=>[5,4,6,1,7,2,3,8]=>[1,2,2,3]=>11010100=>5 [3,8,5,4,1,7,6,2]=>[6,1,4,5,8,2,3,7]=>[1,4,3]=>11000100=>3 [6,4,7,2,5,8,3,1]=>[3,5,2,7,4,1,6,8]=>[2,2,1,3]=>10101100=>5 [6,3,8,7,5,1,4,2]=>[3,6,1,2,4,8,5,7]=>[2,4,2]=>10100010=>5 [5,3,6,4,1,2,8,7]=>[4,6,3,5,8,7,1,2]=>[2,3,1,2]=>10100110=>5 [6,8,4,3,5,7,1,2]=>[3,1,5,6,4,2,8,7]=>[1,3,1,2,1]=>11001101=>4 [1,8,2,5,4,3,6,7]=>[8,1,7,4,5,6,3,2]=>[1,2,3,1,1]=>11010011=>4 [3,2,4,5,1,8,6,7]=>[6,7,5,4,8,1,3,2]=>[2,1,2,2,1]=>10110101=>6 [5,2,4,1,7,8,3,6]=>[4,7,5,8,2,1,6,3]=>[2,2,1,2,1]=>10101101=>6 [4,2,5,1,7,8,3,6]=>[5,7,4,8,2,1,6,3]=>[2,2,1,2,1]=>10101101=>6 [2,5,4,1,3,8,6,7]=>[7,4,5,8,6,1,3,2]=>[1,3,1,2,1]=>11001101=>4 [2,5,1,4,8,3,6,7]=>[7,4,8,5,1,6,3,2]=>[1,2,1,2,1,1]=>11011011=>4 [1,4,5,3,8,2,6,7]=>[8,5,4,6,1,7,3,2]=>[1,1,2,2,1,1]=>11101011=>4 [5,1,8,2,4,3,6,7]=>[4,8,1,7,5,6,3,2]=>[2,2,2,1,1]=>10101011=>6 [5,3,2,8,4,1,6,7]=>[4,6,7,1,5,8,3,2]=>[3,3,1,1]=>10010011=>4 [4,8,2,1,5,3,6,7]=>[5,1,7,8,4,6,3,2]=>[1,3,2,1,1]=>11001011=>4 [3,5,1,4,7,8,2,6]=>[6,4,8,5,2,1,7,3]=>[1,2,1,1,2,1]=>11011101=>4 [4,8,3,1,6,7,2,5]=>[5,1,6,8,3,2,7,4]=>[1,3,1,2,1]=>11001101=>4 [1,4,8,2,7,3,6,5]=>[8,5,1,7,2,6,3,4]=>[1,1,2,2,2]=>11101010=>5 [3,6,2,4,8,7,1,5]=>[6,3,7,5,1,2,8,4]=>[1,2,1,3,1]=>11011001=>4 [7,3,4,6,8,1,2,5]=>[2,6,5,3,1,8,7,4]=>[2,1,1,2,1,1]=>10111011=>4 [3,6,7,2,5,8,1,4]=>[6,3,2,7,4,1,8,5]=>[1,1,2,1,2,1]=>11101101=>4 [1,5,6,8,3,7,2,4]=>[8,4,3,1,6,2,7,5]=>[1,1,1,2,2,1]=>11110101=>4 [1,6,5,8,3,7,2,4]=>[8,3,4,1,6,2,7,5]=>[1,2,2,2,1]=>11010101=>6 [8,6,2,7,1,4,3,5]=>[1,3,7,2,8,5,6,4]=>[3,2,2,1]=>10010101=>6 [7,8,4,6,3,1,5,2]=>[2,1,5,3,6,8,4,7]=>[1,2,3,2]=>11010010=>5 [6,1,5,8,3,4,7,2]=>[3,8,4,1,6,5,2,7]=>[2,1,2,1,2]=>10110110=>5 [5,6,8,1,3,4,7,2]=>[4,3,1,8,6,5,2,7]=>[1,1,2,1,1,2]=>11101110=>3 [8,1,6,3,5,4,7,2]=>[1,8,3,6,4,5,2,7]=>[2,2,2,2]=>10101010=>7 [1,8,7,3,6,4,5,2]=>[8,1,2,6,3,5,4,7]=>[1,3,2,2]=>11001010=>5 [7,4,2,8,3,6,5,1]=>[2,5,7,1,6,3,4,8]=>[3,2,3]=>10010100=>5 [7,1,2,5,8,4,6,3]=>[2,8,7,4,1,5,3,6]=>[2,1,1,2,2]=>10111010=>5 [4,2,8,6,1,5,7,3]=>[5,7,1,3,8,4,2,6]=>[2,3,1,2]=>10100110=>5 [6,2,4,8,1,7,3,5]=>[3,7,5,1,8,2,6,4]=>[2,1,2,2,1]=>10110101=>6 [8,2,6,1,4,5,7,3]=>[1,7,3,8,5,4,2,6]=>[2,2,1,1,2]=>10101110=>5 [3,1,7,8,5,4,6,2]=>[6,8,2,1,4,5,3,7]=>[2,1,3,2]=>10110010=>5 [1,6,2,7,4,8,5,3]=>[8,3,7,2,5,1,4,6]=>[1,2,2,3]=>11010100=>5 [2,7,1,8,4,3,5,6]=>[7,2,8,1,5,6,4,3]=>[1,2,3,1,1]=>11010011=>4 [6,7,1,8,3,2,4,5]=>[3,2,8,1,6,7,5,4]=>[1,2,3,1,1]=>11010011=>4 [6,2,4,7,3,8,1,5]=>[3,7,5,2,6,1,8,4]=>[2,1,2,2,1]=>10110101=>6 [8,3,6,7,4,1,5,2]=>[1,6,3,2,5,8,4,7]=>[2,1,3,2]=>10110010=>5 [6,8,2,3,7,1,5,4]=>[3,1,7,6,2,8,4,5]=>[1,2,1,2,2]=>11011010=>5 [6,1,8,3,7,4,2,5]=>[3,8,1,6,2,5,7,4]=>[2,2,3,1]=>10101001=>6 [1,5,8,3,6,7,2,4]=>[8,4,1,6,3,2,7,5]=>[1,1,2,1,2,1]=>11101101=>4 [2,7,6,3,5,8,1,4]=>[7,2,3,6,4,1,8,5]=>[1,3,1,2,1]=>11001101=>4 [2,7,5,6,8,1,3,4]=>[7,2,4,3,1,8,6,5]=>[1,2,1,2,1,1]=>11011011=>4 [6,7,2,8,1,3,4,5]=>[3,2,7,1,8,6,5,4]=>[1,2,2,1,1,1]=>11010111=>4 [5,1,6,8,7,2,3,4]=>[4,8,3,1,2,7,6,5]=>[2,1,3,1,1]=>10110011=>4 [1,5,7,6,8,2,3,4]=>[8,4,2,3,1,7,6,5]=>[1,1,2,2,1,1]=>11101011=>4 [3,5,6,1,4,2,8,7]=>[6,4,3,8,5,7,1,2]=>[1,1,2,2,2]=>11101010=>5 [3,7,8,2,4,6,5,1]=>[6,2,1,7,5,3,4,8]=>[1,1,2,1,3]=>11101100=>3 [7,4,6,8,5,3,1,2]=>[2,5,3,1,4,6,8,7]=>[2,1,4,1]=>10110001=>4 [8,4,6,7,3,2,1,5]=>[1,5,3,2,6,7,8,4]=>[2,1,4,1]=>10110001=>4 [4,2,7,8,1,5,6,3]=>[5,7,2,1,8,4,3,6]=>[2,1,2,1,2]=>10110110=>5 [2,1,5,7,8,3,6,4]=>[7,8,4,2,1,6,3,5]=>[2,1,1,2,2]=>10111010=>5 [2,4,7,8,1,5,6,3]=>[7,5,2,1,8,4,3,6]=>[1,1,1,2,1,2]=>11110110=>3 [4,6,2,5,7,1,8,3]=>[5,3,7,4,2,8,1,6]=>[1,2,1,2,2]=>11011010=>5 [5,1,6,7,3,8,2,4]=>[4,8,3,2,6,1,7,5]=>[2,1,2,2,1]=>10110101=>6 [3,8,6,7,5,1,2,4]=>[6,1,3,2,4,8,7,5]=>[1,2,3,1,1]=>11010011=>4 [4,7,5,8,6,3,1,2]=>[5,2,4,1,3,6,8,7]=>[1,2,4,1]=>11010001=>4 [4,7,1,8,3,5,6,2]=>[5,2,8,1,6,4,3,7]=>[1,2,2,1,2]=>11010110=>5 [1,6,8,3,2,5,4,7]=>[8,3,1,6,7,4,5,2]=>[1,1,3,2,1]=>11100101=>4 [6,1,5,4,7,3,2,8]=>[3,8,4,5,2,6,7,1]=>[2,2,3,1]=>10101001=>6 [6,1,5,2,3,7,4,8]=>[3,8,4,7,6,2,5,1]=>[2,2,1,2,1]=>10101101=>6 [7,8,2,1,3,6,4,5]=>[2,1,7,8,6,3,5,4]=>[1,3,1,2,1]=>11001101=>4 [7,8,5,1,3,2,6,4]=>[2,1,4,8,6,7,3,5]=>[1,3,2,2]=>11001010=>5 [6,1,7,5,4,3,2,8]=>[3,8,2,4,5,6,7,1]=>[2,5,1]=>10100001=>4 [5,1,6,8,2,3,7,4]=>[4,8,3,1,7,6,2,5]=>[2,1,2,1,2]=>10110110=>5 [2,6,8,1,5,4,7,3]=>[7,3,1,8,4,5,2,6]=>[1,1,2,2,2]=>11101010=>5 [1,5,4,7,6,2,8,3]=>[8,4,5,2,3,7,1,6]=>[1,2,3,2]=>11010010=>5 [2,3,7,6,5,1,8,4]=>[7,6,2,3,4,8,1,5]=>[1,1,4,2]=>11100010=>3 [7,5,2,1,6,4,3,8]=>[2,4,7,8,3,5,6,1]=>[4,3,1]=>10001001=>4 [5,7,2,4,3,1,8,6]=>[4,2,7,5,6,8,1,3]=>[1,2,3,2]=>11010010=>5 [6,1,5,8,3,2,7,4]=>[3,8,4,1,6,7,2,5]=>[2,1,3,2]=>10110010=>5 [3,1,2,4,8,5,7,6]=>[6,8,7,5,1,4,2,3]=>[2,1,1,2,2]=>10111010=>5 [2,5,8,4,6,3,1,7]=>[7,4,1,5,3,6,8,2]=>[1,1,2,3,1]=>11101001=>4 [3,2,5,8,4,1,6,7]=>[6,7,4,1,5,8,3,2]=>[2,1,3,1,1]=>10110011=>4 [7,1,5,4,8,3,2,6]=>[2,8,4,5,1,6,7,3]=>[2,2,3,1]=>10101001=>6 [6,4,1,7,5,3,2,8]=>[3,5,8,2,4,6,7,1]=>[3,4,1]=>10010001=>4 [2,7,1,5,3,8,4,6]=>[7,2,8,4,6,1,5,3]=>[1,2,2,2,1]=>11010101=>6 [7,2,5,4,8,1,6,3]=>[2,7,4,5,1,8,3,6]=>[2,2,2,2]=>10101010=>7 [1,7,2,5,3,8,6,4]=>[8,2,7,4,6,1,3,5]=>[1,2,2,3]=>11010100=>5 [7,2,1,4,3,8,5,6]=>[2,7,8,5,6,1,4,3]=>[3,2,2,1]=>10010101=>6 [6,1,4,2,3,8,7,5]=>[3,8,5,7,6,1,2,4]=>[2,2,1,3]=>10101100=>5 [7,1,6,5,3,2,8,4]=>[2,8,3,4,6,7,1,5]=>[2,4,2]=>10100010=>5 [7,2,3,8,6,1,5,4]=>[2,7,6,1,3,8,4,5]=>[2,1,3,2]=>10110010=>5 [7,2,3,8,6,1,4,5]=>[2,7,6,1,3,8,5,4]=>[2,1,3,1,1]=>10110011=>4 [6,2,4,8,1,3,7,5]=>[3,7,5,1,8,6,2,4]=>[2,1,2,1,2]=>10110110=>5 [7,3,2,8,4,1,6,5]=>[2,6,7,1,5,8,3,4]=>[3,3,2]=>10010010=>5 [7,3,2,5,8,1,6,4]=>[2,6,7,4,1,8,3,5]=>[3,1,2,2]=>10011010=>5 [7,8,3,2,6,1,5,4]=>[2,1,6,7,3,8,4,5]=>[1,3,2,2]=>11001010=>5 [7,3,2,8,4,1,5,6]=>[2,6,7,1,5,8,4,3]=>[3,3,1,1]=>10010011=>4 [6,3,4,8,1,5,2,7]=>[3,6,5,1,8,4,7,2]=>[2,1,2,2,1]=>10110101=>6 [6,3,4,8,1,5,7,2]=>[3,6,5,1,8,4,2,7]=>[2,1,2,1,2]=>10110110=>5 [5,3,8,4,1,2,6,7]=>[4,6,1,5,8,7,3,2]=>[2,3,1,1,1]=>10100111=>4 [2,4,8,3,7,1,5,6]=>[7,5,1,6,2,8,4,3]=>[1,1,2,2,1,1]=>11101011=>4 [5,2,8,4,1,6,3,7]=>[4,7,1,5,8,3,6,2]=>[2,3,2,1]=>10100101=>6 [7,6,5,2,1,8,3,4]=>[2,3,4,7,8,1,6,5]=>[5,2,1]=>10000101=>4 [7,6,5,2,1,8,4,3]=>[2,3,4,7,8,1,5,6]=>[5,3]=>10000100=>3 [2,7,5,1,8,3,6,4]=>[7,2,4,8,1,6,3,5]=>[1,3,2,2]=>11001010=>5 [5,1,8,7,4,3,6,2]=>[4,8,1,2,5,6,3,7]=>[2,4,2]=>10100010=>5 [3,8,7,2,4,6,1,5]=>[6,1,2,7,5,3,8,4]=>[1,3,1,2,1]=>11001101=>4 [5,7,1,3,2,4,8,6]=>[4,2,8,6,7,5,1,3]=>[1,2,2,1,2]=>11010110=>5 [4,2,7,6,3,5,8,1]=>[5,7,2,3,6,4,1,8]=>[2,3,1,2]=>10100110=>5 [8,4,7,6,3,5,1,2]=>[1,5,2,3,6,4,8,7]=>[2,3,2,1]=>10100101=>6 [8,1,7,4,2,3,5,6]=>[1,8,2,5,7,6,4,3]=>[2,3,1,1,1]=>10100111=>4 [6,5,1,3,8,7,4,2]=>[3,4,8,6,1,2,5,7]=>[3,1,4]=>10011000=>3 [6,1,8,5,3,7,2,4]=>[3,8,1,4,6,2,7,5]=>[2,3,2,1]=>10100101=>6 [8,6,5,1,7,4,3,2]=>[1,3,4,8,2,5,6,7]=>[4,4]=>10001000=>3 [8,2,3,7,1,4,5,6]=>[1,7,6,2,8,5,4,3]=>[2,1,2,1,1,1]=>10110111=>4 [2,8,3,7,1,4,5,6]=>[7,1,6,2,8,5,4,3]=>[1,2,2,1,1,1]=>11010111=>4 [5,6,2,7,4,3,1,8]=>[4,3,7,2,5,6,8,1]=>[1,2,4,1]=>11010001=>4 [8,6,2,7,4,1,3,5]=>[1,3,7,2,5,8,6,4]=>[3,3,1,1]=>10010011=>4 [3,4,7,5,2,6,1,8]=>[6,5,2,4,7,3,8,1]=>[1,1,3,2,1]=>11100101=>4 [3,4,7,2,5,6,1,8]=>[6,5,2,7,4,3,8,1]=>[1,1,2,1,2,1]=>11101101=>4 [3,7,8,2,6,1,4,5]=>[6,2,1,7,3,8,5,4]=>[1,1,2,2,1,1]=>11101011=>4 [3,7,8,5,2,1,4,6]=>[6,2,1,4,7,8,5,3]=>[1,1,4,1,1]=>11100011=>2 [6,8,4,7,3,1,2,5]=>[3,1,5,2,6,8,7,4]=>[1,2,3,1,1]=>11010011=>4 [3,2,7,8,4,1,5,6]=>[6,7,2,1,5,8,4,3]=>[2,1,3,1,1]=>10110011=>4 [6,8,4,7,3,1,5,2]=>[3,1,5,2,6,8,4,7]=>[1,2,3,2]=>11010010=>5 [3,7,8,2,6,1,5,4]=>[6,2,1,7,3,8,4,5]=>[1,1,2,2,2]=>11101010=>5 [4,8,6,2,1,7,5,3]=>[5,1,3,7,8,2,4,6]=>[1,4,3]=>11000100=>3 [4,7,6,2,1,5,8,3]=>[5,2,3,7,8,4,1,6]=>[1,4,1,2]=>11000110=>3 [4,8,6,5,1,2,7,3]=>[5,1,3,4,8,7,2,6]=>[1,4,1,2]=>11000110=>3 [7,5,4,6,1,8,3,2]=>[2,4,5,3,8,1,6,7]=>[3,2,3]=>10010100=>5 [7,5,4,6,1,8,2,3]=>[2,4,5,3,8,1,7,6]=>[3,2,2,1]=>10010101=>6 [4,8,6,5,1,2,3,7]=>[5,1,3,4,8,7,6,2]=>[1,4,1,1,1]=>11000111=>2 [3,4,5,1,8,6,2,7]=>[6,5,4,8,1,3,7,2]=>[1,1,2,3,1]=>11101001=>4 [3,4,5,1,7,8,6,2]=>[6,5,4,8,2,1,3,7]=>[1,1,2,1,3]=>11101100=>3 [3,4,5,1,7,6,8,2]=>[6,5,4,8,2,3,1,7]=>[1,1,2,2,2]=>11101010=>5 [3,8,7,6,5,1,2,4]=>[6,1,2,3,4,8,7,5]=>[1,5,1,1]=>11000011=>2 [8,4,6,7,1,2,5,3]=>[1,5,3,2,8,7,4,6]=>[2,1,2,1,2]=>10110110=>5 [5,7,2,6,1,3,8,4]=>[4,2,7,3,8,6,1,5]=>[1,2,2,1,2]=>11010110=>5 [5,8,2,6,1,4,7,3]=>[4,1,7,3,8,5,2,6]=>[1,2,2,1,2]=>11010110=>5 [7,4,6,8,1,3,2,5]=>[2,5,3,1,8,6,7,4]=>[2,1,2,2,1]=>10110101=>6 [7,4,6,8,1,3,5,2]=>[2,5,3,1,8,6,4,7]=>[2,1,2,1,2]=>10110110=>5 [3,8,7,5,6,1,4,2]=>[6,1,2,4,3,8,5,7]=>[1,3,2,2]=>11001010=>5 [6,8,4,7,2,1,5,3]=>[3,1,5,2,7,8,4,6]=>[1,2,3,2]=>11010010=>5 [3,2,5,6,1,7,4,8]=>[6,7,4,3,8,2,5,1]=>[2,1,2,2,1]=>10110101=>6 [8,4,6,5,1,7,3,2]=>[1,5,3,4,8,2,6,7]=>[2,3,3]=>10100100=>5 [3,4,5,1,7,6,2,8]=>[6,5,4,8,2,3,7,1]=>[1,1,2,3,1]=>11101001=>4 [7,4,6,5,1,3,8,2]=>[2,5,3,4,8,6,1,7]=>[2,3,1,2]=>10100110=>5 [8,5,4,6,1,3,2,7]=>[1,4,5,3,8,6,7,2]=>[3,2,2,1]=>10010101=>6 [3,2,5,6,1,4,8,7]=>[6,7,4,3,8,5,1,2]=>[2,1,2,1,2]=>10110110=>5 [8,5,4,6,1,3,7,2]=>[1,4,5,3,8,6,2,7]=>[3,2,1,2]=>10010110=>5 [1,7,3,4,5,2,8,6]=>[8,2,6,5,4,7,1,3]=>[1,2,1,2,2]=>11011010=>5 [4,8,2,1,3,5,6,7]=>[5,1,7,8,6,4,3,2]=>[1,3,1,1,1,1]=>11001111=>2 [1,7,2,5,4,3,8,6]=>[8,2,7,4,5,6,1,3]=>[1,2,3,2]=>11010010=>5 [2,6,7,3,4,8,1,5]=>[7,3,2,6,5,1,8,4]=>[1,1,2,1,2,1]=>11101101=>4 [2,1,5,7,4,3,8,6]=>[7,8,4,2,5,6,1,3]=>[2,1,3,2]=>10110010=>5 [4,1,8,7,5,6,2,3]=>[5,8,1,2,4,3,7,6]=>[2,3,2,1]=>10100101=>6 [1,5,8,7,4,3,6,2]=>[8,4,1,2,5,6,3,7]=>[1,1,4,2]=>11100010=>3 [6,4,1,3,8,7,5,2]=>[3,5,8,6,1,2,4,7]=>[3,1,4]=>10011000=>3 [2,1,7,4,6,8,3,5]=>[7,8,2,5,3,1,6,4]=>[2,2,1,2,1]=>10101101=>6 [1,7,2,4,6,8,3,5]=>[8,2,7,5,3,1,6,4]=>[1,2,1,1,2,1]=>11011101=>4 [8,6,4,2,7,3,5,1]=>[1,3,5,7,2,6,4,8]=>[4,2,2]=>10001010=>5 [7,4,6,1,2,3,8,5]=>[2,5,3,8,7,6,1,4]=>[2,2,1,1,2]=>10101110=>5 [1,8,6,2,7,3,5,4]=>[8,1,3,7,2,6,4,5]=>[1,3,2,2]=>11001010=>5 [1,7,8,6,2,3,5,4]=>[8,2,1,3,7,6,4,5]=>[1,1,3,1,2]=>11100110=>3 [2,1,8,3,5,7,6,4]=>[7,8,1,6,4,2,3,5]=>[2,2,1,3]=>10101100=>5 [3,5,8,1,7,6,2,4]=>[6,4,1,8,2,3,7,5]=>[1,1,2,3,1]=>11101001=>4 [2,8,1,3,6,7,5,4]=>[7,1,8,6,3,2,4,5]=>[1,2,1,1,3]=>11011100=>3 [7,2,4,8,6,1,5,3]=>[2,7,5,1,3,8,4,6]=>[2,1,3,2]=>10110010=>5 [8,2,1,3,4,5,6,7,9]=>[2,8,9,7,6,5,4,3,1]=>[3,1,1,1,1,1,1]=>100111111=>2 [3,2,4,5,6,7,8,1,9]=>[7,8,6,5,4,3,2,9,1]=>[2,1,1,1,1,2,1]=>101111101=>4 [8,3,1,2,4,5,6,7,9]=>[2,7,9,8,6,5,4,3,1]=>[3,1,1,1,1,1,1]=>100111111=>2 [8,2,3,1,4,5,6,7,9]=>[2,8,7,9,6,5,4,3,1]=>[2,2,1,1,1,1,1]=>101011111=>4 [4,2,3,5,6,7,8,1,9]=>[6,8,7,5,4,3,2,9,1]=>[2,1,1,1,1,2,1]=>101111101=>4 [8,3,2,1,4,5,6,7,9]=>[2,7,8,9,6,5,4,3,1]=>[4,1,1,1,1,1]=>100011111=>2 [4,3,2,5,6,7,8,1,9]=>[6,7,8,5,4,3,2,9,1]=>[3,1,1,1,2,1]=>100111101=>4 [1,7,5,8,3,6,2,4]=>[8,2,4,1,6,3,7,5]=>[1,2,2,2,1]=>11010101=>6 [6,4,3,2,8,1,7,5]=>[3,5,6,7,1,8,2,4]=>[4,2,2]=>10001010=>5 [5,7,4,3,1,6,2,8]=>[4,2,5,6,8,3,7,1]=>[1,4,2,1]=>11000101=>4 [5,8,4,3,1,6,7,2]=>[4,1,5,6,8,3,2,7]=>[1,4,1,2]=>11000110=>3 [8,3,5,4,2,6,1,7]=>[1,6,4,5,7,3,8,2]=>[2,3,2,1]=>10100101=>6 [6,3,7,2,5,4,8,1]=>[3,6,2,7,4,5,1,8]=>[2,2,2,2]=>10101010=>7 [5,4,7,3,2,6,8,1]=>[4,5,2,6,7,3,1,8]=>[2,3,1,2]=>10100110=>5 [3,7,6,4,2,5,8,1]=>[6,2,3,5,7,4,1,8]=>[1,4,1,2]=>11000110=>3 [5,7,2,6,3,4,8,1]=>[4,2,7,3,6,5,1,8]=>[1,2,2,1,2]=>11010110=>5 [3,7,5,4,6,2,8,1]=>[6,2,4,5,3,7,1,8]=>[1,3,2,2]=>11001010=>5 [2,7,5,4,6,8,3,1]=>[7,2,4,5,3,1,6,8]=>[1,3,1,3]=>11001100=>3 [8,2,5,4,6,3,1,7]=>[1,7,4,5,3,6,8,2]=>[2,2,3,1]=>10101001=>6 [5,7,2,3,6,8,4,1]=>[4,2,7,6,3,1,5,8]=>[1,2,1,1,3]=>11011100=>3 [3,7,2,6,5,8,4,1]=>[6,2,7,3,4,1,5,8]=>[1,2,2,3]=>11010100=>5 [5,8,1,7,3,4,2,6]=>[4,1,8,2,6,5,7,3]=>[1,2,2,2,1]=>11010101=>6 [6,8,3,2,1,7,4,5]=>[3,1,6,7,8,2,5,4]=>[1,4,2,1]=>11000101=>4 [4,8,5,1,7,3,2,6]=>[5,1,4,8,2,6,7,3]=>[1,3,3,1]=>11001001=>4 [4,8,1,7,5,3,2,6]=>[5,1,8,2,4,6,7,3]=>[1,2,4,1]=>11010001=>4 [5,4,8,2,6,3,1,7]=>[4,5,1,7,3,6,8,2]=>[2,2,3,1]=>10101001=>6 [7,5,2,8,1,3,6,4]=>[2,4,7,1,8,6,3,5]=>[3,2,1,2]=>10010110=>5 [5,4,3,7,2,8,6,1]=>[4,5,6,2,7,1,3,8]=>[3,2,3]=>10010100=>5 [4,3,7,6,2,8,5,1]=>[5,6,2,3,7,1,4,8]=>[2,3,3]=>10100100=>5 [6,3,2,5,8,7,4,1]=>[3,6,7,4,1,2,5,8]=>[3,1,4]=>10011000=>3 [7,3,5,2,8,1,6,4]=>[2,6,4,7,1,8,3,5]=>[2,2,2,2]=>10101010=>7 [8,3,5,2,6,4,1,7]=>[1,6,4,7,3,5,8,2]=>[2,2,3,1]=>10101001=>6 [8,4,3,2,6,5,1,7]=>[1,5,6,7,3,4,8,2]=>[4,3,1]=>10001001=>4 [3,6,5,2,8,7,4,1]=>[6,3,4,7,1,2,5,8]=>[1,3,4]=>11001000=>3 [3,6,5,7,2,8,4,1]=>[6,3,4,2,7,1,5,8]=>[1,2,2,3]=>11010100=>5 [4,6,5,3,8,2,1,7]=>[5,3,4,6,1,7,8,2]=>[1,3,3,1]=>11001001=>4 [2,6,5,8,7,3,1,4]=>[7,3,4,1,2,6,8,5]=>[1,2,4,1]=>11010001=>4 [2,6,5,8,4,3,7,1]=>[7,3,4,1,5,6,2,8]=>[1,2,3,2]=>11010010=>5 [8,2,6,5,3,1,4,7]=>[1,7,3,4,6,8,5,2]=>[2,4,1,1]=>10100011=>4 [6,3,8,4,1,7,2,5]=>[3,6,1,5,8,2,7,4]=>[2,3,2,1]=>10100101=>6 [3,2,8,7,6,4,1,5]=>[6,7,1,2,3,5,8,4]=>[2,5,1]=>10100001=>4 [5,4,2,8,7,3,1,6]=>[4,5,7,1,2,6,8,3]=>[3,4,1]=>10010001=>4 [3,6,8,5,1,7,2,4]=>[6,3,1,4,8,2,7,5]=>[1,1,3,2,1]=>11100101=>4 [8,2,6,4,3,5,1,7]=>[1,7,3,5,6,4,8,2]=>[2,3,2,1]=>10100101=>6 [5,4,2,8,6,3,7,1]=>[4,5,7,1,3,6,2,8]=>[3,3,2]=>10010010=>5 [2,8,7,5,3,1,4,6]=>[7,1,2,4,6,8,5,3]=>[1,5,1,1]=>11000011=>2 [2,4,7,8,5,3,1,6]=>[7,5,2,1,4,6,8,3]=>[1,1,1,4,1]=>11110001=>2 [2,4,3,7,8,5,1,6]=>[7,5,6,2,1,4,8,3]=>[1,2,1,3,1]=>11011001=>4 [6,3,4,5,1,2,8,7]=>[3,6,5,4,8,7,1,2]=>[2,1,2,1,2]=>10110110=>5 [6,5,3,2,4,1,8,7]=>[3,4,6,7,5,8,1,2]=>[4,2,2]=>10001010=>5 [6,5,8,7,3,2,4,1]=>[3,4,1,2,6,7,5,8]=>[2,4,2]=>10100010=>5 [6,3,2,4,1,7,8,5]=>[3,6,7,5,8,2,1,4]=>[3,2,1,2]=>10010110=>5 [2,1,4,7,8,5,3,6]=>[7,8,5,2,1,4,6,3]=>[2,1,1,3,1]=>10111001=>4 [8,3,6,4,7,5,1,2]=>[1,6,3,5,2,4,8,7]=>[2,2,3,1]=>10101001=>6 [8,3,1,6,5,7,4,2]=>[1,6,8,3,4,2,5,7]=>[3,2,3]=>10010100=>5 [8,5,6,7,3,1,4,2]=>[1,4,3,2,6,8,5,7]=>[2,1,3,2]=>10110010=>5 [8,7,5,3,2,6,4,1]=>[1,2,4,6,7,3,5,8]=>[5,3]=>10000100=>3 [4,8,7,5,3,2,6,1]=>[5,1,2,4,6,7,3,8]=>[1,5,2]=>11000010=>3 [4,7,8,5,3,1,6,2]=>[5,2,1,4,6,8,3,7]=>[1,1,4,2]=>11100010=>3 [8,5,3,1,4,6,7,2]=>[1,4,6,8,5,3,2,7]=>[4,1,1,2]=>10001110=>3 [8,3,4,6,5,7,1,2]=>[1,6,5,3,4,2,8,7]=>[2,1,2,2,1]=>10110101=>6 [8,5,3,6,4,7,1,2]=>[1,4,6,3,5,2,8,7]=>[3,2,2,1]=>10010101=>6 [8,5,1,6,4,3,7,2]=>[1,4,8,3,5,6,2,7]=>[3,3,2]=>10010010=>5 [6,3,4,7,8,1,2,5]=>[3,6,5,2,1,8,7,4]=>[2,1,1,2,1,1]=>10111011=>4 [7,3,6,5,8,1,2,4]=>[2,6,3,4,1,8,7,5]=>[2,2,2,1,1]=>10101011=>6 [6,5,3,2,4,8,7,1]=>[3,4,6,7,5,1,2,8]=>[4,1,3]=>10001100=>3 [2,5,7,1,6,8,3,4]=>[7,4,2,8,3,1,6,5]=>[1,1,2,1,2,1]=>11101101=>4 [6,1,2,7,5,8,3,4]=>[3,8,7,2,4,1,6,5]=>[2,1,2,2,1]=>10110101=>6 [7,1,2,4,6,8,3,5]=>[2,8,7,5,3,1,6,4]=>[2,1,1,1,2,1]=>10111101=>4 [3,7,1,2,4,6,8,5]=>[6,2,8,7,5,3,1,4]=>[1,2,1,1,1,2]=>11011110=>3 [2,4,1,7,3,6,8,5]=>[7,5,8,2,6,3,1,4]=>[1,2,2,1,2]=>11010110=>5 [2,4,3,6,1,7,8,5]=>[7,5,6,3,8,2,1,4]=>[1,2,2,1,2]=>11010110=>5 [2,7,3,1,4,6,8,5]=>[7,2,6,8,5,3,1,4]=>[1,3,1,1,2]=>11001110=>3 [2,8,3,1,6,5,7,4]=>[7,1,6,8,3,4,2,5]=>[1,3,2,2]=>11001010=>5 [2,8,5,6,7,3,1,4]=>[7,1,4,3,2,6,8,5]=>[1,2,1,3,1]=>11011001=>4 [8,2,4,6,1,5,7,3]=>[1,7,5,3,8,4,2,6]=>[2,1,2,1,2]=>10110110=>5 [5,8,1,6,2,4,7,3]=>[4,1,8,3,7,5,2,6]=>[1,2,2,1,2]=>11010110=>5 [3,8,5,6,7,1,2,4]=>[6,1,4,3,2,8,7,5]=>[1,2,1,2,1,1]=>11011011=>4 [6,5,1,2,8,4,7,3]=>[3,4,8,7,1,5,2,6]=>[3,1,2,2]=>10011010=>5 [6,1,2,4,8,5,7,3]=>[3,8,7,5,1,4,2,6]=>[2,1,1,2,2]=>10111010=>5 [2,4,5,8,7,3,6,1]=>[7,5,4,1,2,6,3,8]=>[1,1,1,3,2]=>11110010=>3 [7,1,4,2,6,8,5,3]=>[2,8,5,7,3,1,4,6]=>[2,2,1,3]=>10101100=>5 [2,1,8,7,5,4,6,3]=>[7,8,1,2,4,5,3,6]=>[2,4,2]=>10100010=>5 [4,8,1,7,5,3,6,2]=>[5,1,8,2,4,6,3,7]=>[1,2,3,2]=>11010010=>5 [8,1,7,5,3,4,6,2]=>[1,8,2,4,6,5,3,7]=>[2,3,1,2]=>10100110=>5 [8,1,4,3,6,7,5,2]=>[1,8,5,6,3,2,4,7]=>[2,2,1,3]=>10101100=>5 [7,8,3,4,1,6,5,2]=>[2,1,6,5,8,3,4,7]=>[1,2,2,3]=>11010100=>5 [8,7,3,4,2,6,5,1]=>[1,2,6,5,7,3,4,8]=>[3,2,3]=>10010100=>5 [8,4,5,2,3,7,1,6]=>[1,5,4,7,6,2,8,3]=>[2,2,1,2,1]=>10101101=>6 [4,7,2,8,6,3,1,5]=>[5,2,7,1,3,6,8,4]=>[1,2,4,1]=>11010001=>4 [4,7,5,2,3,8,1,6]=>[5,2,4,7,6,1,8,3]=>[1,3,1,2,1]=>11001101=>4 [6,4,7,5,2,8,3,1]=>[3,5,2,4,7,1,6,8]=>[2,3,3]=>10100100=>5 [7,5,1,3,6,4,8,2]=>[2,4,8,6,3,5,1,7]=>[3,1,2,2]=>10011010=>5 [7,2,6,3,1,5,8,4]=>[2,7,3,6,8,4,1,5]=>[2,3,1,2]=>10100110=>5 [4,6,3,8,7,5,1,2]=>[5,3,6,1,2,4,8,7]=>[1,2,4,1]=>11010001=>4 [2,8,4,1,5,7,6,3]=>[7,1,5,8,4,2,3,6]=>[1,3,1,3]=>11001100=>3 [1,8,4,2,5,7,6,3]=>[8,1,5,7,4,2,3,6]=>[1,3,1,3]=>11001100=>3 [2,8,5,4,1,7,6,3]=>[7,1,4,5,8,2,3,6]=>[1,4,3]=>11000100=>3 [2,5,8,3,7,1,6,4]=>[7,4,1,6,2,8,3,5]=>[1,1,2,2,2]=>11101010=>5 [1,8,5,2,4,7,6,3]=>[8,1,4,7,5,2,3,6]=>[1,3,1,3]=>11001100=>3 [1,4,6,2,8,7,5,3]=>[8,5,3,7,1,2,4,6]=>[1,1,2,4]=>11101000=>3 [7,8,2,4,1,6,5,3]=>[2,1,7,5,8,3,4,6]=>[1,2,2,3]=>11010100=>5 [2,4,6,1,8,7,5,3]=>[7,5,3,8,1,2,4,6]=>[1,1,2,4]=>11101000=>3 [2,8,4,5,1,7,6,3]=>[7,1,5,4,8,2,3,6]=>[1,2,2,3]=>11010100=>5 [3,5,8,2,7,6,1,4]=>[6,4,1,7,2,3,8,5]=>[1,1,2,3,1]=>11101001=>4 [2,1,6,8,7,5,3,4]=>[7,8,3,1,2,4,6,5]=>[2,1,4,1]=>10110001=>4 [1,8,2,4,5,7,6,3]=>[8,1,7,5,4,2,3,6]=>[1,2,1,1,3]=>11011100=>3 [1,2,8,3,5,7,6,4]=>[8,7,1,6,4,2,3,5]=>[1,1,2,1,3]=>11101100=>3 [1,3,8,2,5,7,6,4]=>[8,6,1,7,4,2,3,5]=>[1,1,2,1,3]=>11101100=>3 [2,3,8,1,5,7,6,4]=>[7,6,1,8,4,2,3,5]=>[1,1,2,1,3]=>11101100=>3 [2,6,1,8,7,5,3,4]=>[7,3,8,1,2,4,6,5]=>[1,2,4,1]=>11010001=>4 [1,6,2,8,7,5,3,4]=>[8,3,7,1,2,4,6,5]=>[1,2,4,1]=>11010001=>4 [1,6,3,8,7,5,2,4]=>[8,3,6,1,2,4,7,5]=>[1,2,4,1]=>11010001=>4 [2,6,3,8,7,5,1,4]=>[7,3,6,1,2,4,8,5]=>[1,2,4,1]=>11010001=>4 [3,2,8,1,5,7,6,4]=>[6,7,1,8,4,2,3,5]=>[2,2,1,3]=>10101100=>5 [3,1,8,2,5,7,6,4]=>[6,8,1,7,4,2,3,5]=>[2,2,1,3]=>10101100=>5 [2,8,1,4,5,7,6,3]=>[7,1,8,5,4,2,3,6]=>[1,2,1,1,3]=>11011100=>3 [7,8,2,1,4,6,5,3]=>[2,1,7,8,5,3,4,6]=>[1,3,1,3]=>11001100=>3 [2,3,6,8,7,5,1,4]=>[7,6,3,1,2,4,8,5]=>[1,1,1,4,1]=>11110001=>2 [3,1,6,8,7,2,5,4]=>[6,8,3,1,2,7,4,5]=>[2,1,3,2]=>10110010=>5 [6,1,4,5,7,2,3,8]=>[3,8,5,4,2,7,6,1]=>[2,1,1,2,1,1]=>10111011=>4 [8,1,4,7,6,3,2,5]=>[1,8,5,2,3,6,7,4]=>[2,1,4,1]=>10110001=>4 [8,3,1,6,4,7,2,5]=>[1,6,8,3,5,2,7,4]=>[3,2,2,1]=>10010101=>6 [5,3,8,6,2,7,1,4]=>[4,6,1,3,7,2,8,5]=>[2,3,2,1]=>10100101=>6 [8,3,6,1,5,7,2,4]=>[1,6,3,8,4,2,7,5]=>[2,2,1,2,1]=>10101101=>6 [8,4,6,3,1,2,5,7]=>[1,5,3,6,8,7,4,2]=>[2,3,1,1,1]=>10100111=>4 [1,8,5,3,7,2,4,6]=>[8,1,4,6,2,7,5,3]=>[1,3,2,1,1]=>11001011=>4 [6,8,1,4,5,2,3,7]=>[3,1,8,5,4,7,6,2]=>[1,2,1,2,1,1]=>11011011=>4 [1,5,8,4,6,2,3,7]=>[8,4,1,5,3,7,6,2]=>[1,1,2,2,1,1]=>11101011=>4 [2,1,6,5,3,8,4,7]=>[7,8,3,4,6,1,5,2]=>[2,3,2,1]=>10100101=>6 [1,4,6,8,5,2,3,7]=>[8,5,3,1,4,7,6,2]=>[1,1,1,3,1,1]=>11110011=>2 [5,6,8,1,4,2,3,7]=>[4,3,1,8,5,7,6,2]=>[1,1,2,2,1,1]=>11101011=>4 [5,7,4,8,1,2,3,6]=>[4,2,5,1,8,7,6,3]=>[1,2,2,1,1,1]=>11010111=>4 [1,5,4,7,2,3,8,6]=>[8,4,5,2,7,6,1,3]=>[1,2,2,1,2]=>11010110=>5 [4,7,5,1,8,2,3,6]=>[5,2,4,8,1,7,6,3]=>[1,3,2,1,1]=>11001011=>4 [5,3,7,1,2,4,8,6]=>[4,6,2,8,7,5,1,3]=>[2,2,1,1,2]=>10101110=>5 [8,2,1,5,3,7,4,6]=>[1,7,8,4,6,2,5,3]=>[3,2,2,1]=>10010101=>6 [4,7,8,1,2,6,3,5]=>[5,2,1,8,7,3,6,4]=>[1,1,2,1,2,1]=>11101101=>4 [8,7,1,5,6,2,3,4]=>[1,2,8,4,3,7,6,5]=>[3,1,2,1,1]=>10011011=>4 [1,6,5,8,7,2,3,4]=>[8,3,4,1,2,7,6,5]=>[1,2,3,1,1]=>11010011=>4 [8,6,2,1,3,4,7,5]=>[1,3,7,8,6,5,2,4]=>[4,1,1,2]=>10001110=>3 [7,2,1,3,6,4,8,5]=>[2,7,8,6,3,5,1,4]=>[3,1,2,2]=>10011010=>5 [3,7,1,6,2,4,8,5]=>[6,2,8,3,7,5,1,4]=>[1,2,2,1,2]=>11010110=>5 [5,1,2,7,6,8,3,4]=>[4,8,7,2,3,1,6,5]=>[2,1,2,2,1]=>10110101=>6 [6,1,7,2,5,8,3,4]=>[3,8,2,7,4,1,6,5]=>[2,2,1,2,1]=>10101101=>6 [1,7,6,5,8,2,3,4]=>[8,2,3,4,1,7,6,5]=>[1,3,2,1,1]=>11001011=>4 [1,6,8,5,7,2,3,4]=>[8,3,1,4,2,7,6,5]=>[1,1,2,2,1,1]=>11101011=>4 [7,5,1,2,6,8,3,4]=>[2,4,8,7,3,1,6,5]=>[3,1,1,2,1]=>10011101=>4 [6,1,5,2,7,8,3,4]=>[3,8,4,7,2,1,6,5]=>[2,2,1,2,1]=>10101101=>6 [1,6,3,8,7,2,4,5]=>[8,3,6,1,2,7,5,4]=>[1,2,3,1,1]=>11010011=>4 [1,7,3,2,4,6,8,5]=>[8,2,6,7,5,3,1,4]=>[1,3,1,1,2]=>11001110=>3 [8,3,1,4,2,5,7,6]=>[1,6,8,5,7,4,2,3]=>[3,2,1,2]=>10010110=>5 [4,1,8,3,2,7,5,6]=>[5,8,1,6,7,2,4,3]=>[2,3,2,1]=>10100101=>6 [3,1,2,7,8,4,6,5]=>[6,8,7,2,1,5,3,4]=>[2,1,1,2,2]=>10111010=>5 [3,8,1,2,7,6,4,5]=>[6,1,8,7,2,3,5,4]=>[1,2,1,3,1]=>11011001=>4 [7,1,4,8,2,6,3,5]=>[2,8,5,1,7,3,6,4]=>[2,1,2,2,1]=>10110101=>6 [5,1,2,6,8,7,3,4]=>[4,8,7,3,1,2,6,5]=>[2,1,1,3,1]=>10111001=>4 [1,8,6,2,5,7,3,4]=>[8,1,3,7,4,2,6,5]=>[1,3,1,2,1]=>11001101=>4 [5,7,8,1,2,6,3,4]=>[4,2,1,8,7,3,6,5]=>[1,1,2,1,2,1]=>11101101=>4 [8,1,5,7,6,2,3,4]=>[1,8,4,2,3,7,6,5]=>[2,1,3,1,1]=>10110011=>4 [7,1,6,8,5,2,3,4]=>[2,8,3,1,4,7,6,5]=>[2,1,3,1,1]=>10110011=>4 [3,7,1,2,8,4,6,5]=>[6,2,8,7,1,5,3,4]=>[1,2,1,2,2]=>11011010=>5 [8,3,1,2,7,6,4,5]=>[1,6,8,7,2,3,5,4]=>[3,1,3,1]=>10011001=>4 [1,5,8,7,6,2,3,4]=>[8,4,1,2,3,7,6,5]=>[1,1,4,1,1]=>11100011=>2 [7,8,6,1,5,2,3,4]=>[2,1,3,8,4,7,6,5]=>[1,3,2,1,1]=>11001011=>4 [7,8,6,3,1,5,2,4]=>[2,1,3,6,8,4,7,5]=>[1,4,2,1]=>11000101=>4 [7,8,1,3,4,5,2,6]=>[2,1,8,6,5,4,7,3]=>[1,2,1,1,2,1]=>11011101=>4 [1,7,4,8,2,5,3,6]=>[8,2,5,1,7,4,6,3]=>[1,2,2,2,1]=>11010101=>6 [3,8,6,1,4,2,7,5]=>[6,1,3,8,5,7,2,4]=>[1,3,2,2]=>11001010=>5 [7,1,8,2,4,6,3,5]=>[2,8,1,7,5,3,6,4]=>[2,2,1,2,1]=>10101101=>6 [7,6,8,4,1,5,3,2]=>[2,3,1,5,8,4,6,7]=>[2,3,3]=>10100100=>5 [7,3,2,8,1,5,4,6]=>[2,6,7,1,8,4,5,3]=>[3,2,2,1]=>10010101=>6 [3,5,4,1,7,2,6,8]=>[6,4,5,8,2,7,3,1]=>[1,3,2,1,1]=>11001011=>4 [6,4,7,3,2,5,1,8]=>[3,5,2,6,7,4,8,1]=>[2,3,2,1]=>10100101=>6 [7,6,5,3,8,4,1,2]=>[2,3,4,6,1,5,8,7]=>[4,3,1]=>10001001=>4 [6,4,5,7,8,1,3,2]=>[3,5,4,2,1,8,6,7]=>[2,1,1,2,2]=>10111010=>5 [3,7,4,1,6,8,5,2]=>[6,2,5,8,3,1,4,7]=>[1,3,1,3]=>11001100=>3 [3,1,2,7,6,8,5,4]=>[6,8,7,2,3,1,4,5]=>[2,1,2,3]=>10110100=>5 [6,3,2,8,4,5,1,7]=>[3,6,7,1,5,4,8,2]=>[3,2,2,1]=>10010101=>6 [6,1,8,3,5,4,2,7]=>[3,8,1,6,4,5,7,2]=>[2,2,3,1]=>10101001=>6 [3,8,5,2,4,6,1,7]=>[6,1,4,7,5,3,8,2]=>[1,3,1,2,1]=>11001101=>4 [1,6,4,8,3,5,2,7]=>[8,3,5,1,6,4,7,2]=>[1,2,2,2,1]=>11010101=>6 [3,8,4,5,2,6,7,1]=>[6,1,5,4,7,3,2,8]=>[1,2,2,1,2]=>11010110=>5 [5,7,8,4,6,3,2,1]=>[4,2,1,5,3,6,7,8]=>[1,1,2,4]=>11101000=>3 [5,3,2,8,6,4,7,1]=>[4,6,7,1,3,5,2,8]=>[3,3,2]=>10010010=>5 [6,8,1,2,7,4,3,5]=>[3,1,8,7,2,5,6,4]=>[1,2,1,3,1]=>11011001=>4 [5,8,7,3,6,2,4,1]=>[4,1,2,6,3,7,5,8]=>[1,3,2,2]=>11001010=>5 [7,3,5,4,2,8,6,1]=>[2,6,4,5,7,1,3,8]=>[2,3,3]=>10100100=>5 [5,6,1,3,2,4,7,8]=>[4,3,8,6,7,5,2,1]=>[1,2,2,1,1,1]=>11010111=>4 [2,5,1,3,7,8,6,4]=>[7,4,8,6,2,1,3,5]=>[1,2,1,1,3]=>11011100=>3 [4,3,7,2,1,8,6,5]=>[5,6,2,7,8,1,3,4]=>[2,3,3]=>10100100=>5 [4,6,7,2,1,3,5,8]=>[5,3,2,7,8,6,4,1]=>[1,1,3,1,1,1]=>11100111=>2 [4,6,2,3,1,5,7,8]=>[5,3,7,6,8,4,2,1]=>[1,2,2,1,1,1]=>11010111=>4 [3,6,4,2,5,1,7,8]=>[6,3,5,7,4,8,2,1]=>[1,3,2,1,1]=>11001011=>4 [3,1,6,4,7,5,2,8]=>[6,8,3,5,2,4,7,1]=>[2,2,3,1]=>10101001=>6 [3,6,2,7,5,4,1,8]=>[6,3,7,2,4,5,8,1]=>[1,2,4,1]=>11010001=>4 [2,4,7,3,8,6,5,1]=>[7,5,2,6,1,3,4,8]=>[1,1,2,4]=>11101000=>3 [3,4,2,7,5,8,6,1]=>[6,5,7,2,4,1,3,8]=>[1,2,2,3]=>11010100=>5 [3,1,5,4,7,8,6,2]=>[6,8,4,5,2,1,3,7]=>[2,2,1,3]=>10101100=>5 [4,5,7,2,3,1,8,6]=>[5,4,2,7,6,8,1,3]=>[1,1,2,2,2]=>11101010=>5 [3,7,8,1,4,6,5,2]=>[6,2,1,8,5,3,4,7]=>[1,1,2,1,3]=>11101100=>3 [2,6,4,7,5,3,8,1]=>[7,3,5,2,4,6,1,8]=>[1,2,3,2]=>11010010=>5 [6,2,4,7,1,3,8,5]=>[3,7,5,2,8,6,1,4]=>[2,1,2,1,2]=>10110110=>5 [7,3,5,1,4,2,8,6]=>[2,6,4,8,5,7,1,3]=>[2,2,2,2]=>10101010=>7 [5,4,7,1,3,2,8,6]=>[4,5,2,8,6,7,1,3]=>[2,2,2,2]=>10101010=>7 [6,1,4,7,5,3,8,2]=>[3,8,5,2,4,6,1,7]=>[2,1,3,2]=>10110010=>5 [8,7,1,4,3,5,6,2]=>[1,2,8,5,6,4,3,7]=>[3,2,1,2]=>10010110=>5 [6,1,8,4,7,3,2,5]=>[3,8,1,5,2,6,7,4]=>[2,2,3,1]=>10101001=>6 [4,7,3,6,1,2,8,5]=>[5,2,6,3,8,7,1,4]=>[1,2,2,1,2]=>11010110=>5 [5,2,1,7,4,3,8,6]=>[4,7,8,2,5,6,1,3]=>[3,3,2]=>10010010=>5 [7,6,8,2,5,3,4,1]=>[2,3,1,7,4,6,5,8]=>[2,2,2,2]=>10101010=>7 [2,6,8,7,5,3,1,4]=>[7,3,1,2,4,6,8,5]=>[1,1,5,1]=>11100001=>2 [6,4,1,7,5,2,8,3]=>[3,5,8,2,4,7,1,6]=>[3,3,2]=>10010010=>5 [5,7,8,2,3,6,1,4]=>[4,2,1,7,6,3,8,5]=>[1,1,2,1,2,1]=>11101101=>4 [4,8,7,1,2,5,6,3]=>[5,1,2,8,7,4,3,6]=>[1,3,1,1,2]=>11001110=>3 [8,6,2,1,5,7,4,3]=>[1,3,7,8,4,2,5,6]=>[4,1,3]=>10001100=>3 [3,8,6,7,5,2,1,4]=>[6,1,3,2,4,7,8,5]=>[1,2,4,1]=>11010001=>4 [6,1,3,7,5,8,2,4]=>[3,8,6,2,4,1,7,5]=>[2,1,2,2,1]=>10110101=>6 [4,7,3,1,8,5,6,2]=>[5,2,6,8,1,4,3,7]=>[1,3,2,2]=>11001010=>5 [2,6,4,5,7,3,8,1]=>[7,3,5,4,2,6,1,8]=>[1,2,1,2,2]=>11011010=>5 [6,1,8,5,3,4,7,2]=>[3,8,1,4,6,5,2,7]=>[2,3,1,2]=>10100110=>5 [4,1,5,6,8,3,7,2]=>[5,8,4,3,1,6,2,7]=>[2,1,1,2,2]=>10111010=>5 [5,4,7,1,8,6,2,3]=>[4,5,2,8,1,3,7,6]=>[2,2,3,1]=>10101001=>6 [6,4,1,8,7,2,5,3]=>[3,5,8,1,2,7,4,6]=>[3,3,2]=>10010010=>5 [4,5,7,2,6,8,1,3]=>[5,4,2,7,3,1,8,6]=>[1,1,2,1,2,1]=>11101101=>4 [6,9,1,2,3,4,5,7,8]=>[4,1,9,8,7,6,5,3,2]=>[1,2,1,1,1,1,1,1]=>110111111=>2 [2,8,5,4,1,7,3,6]=>[7,1,4,5,8,2,6,3]=>[1,4,2,1]=>11000101=>4 [3,2,8,5,1,7,4,6]=>[6,7,1,4,8,2,5,3]=>[2,3,2,1]=>10100101=>6 [1,3,8,5,2,7,4,6]=>[8,6,1,4,7,2,5,3]=>[1,1,3,2,1]=>11100101=>4 [1,3,8,6,7,2,4,5]=>[8,6,1,3,2,7,5,4]=>[1,1,2,2,1,1]=>11101011=>4 [2,8,5,6,1,3,7,4]=>[7,1,4,3,8,6,2,5]=>[1,2,2,1,2]=>11010110=>5 [2,8,3,7,6,1,4,5]=>[7,1,6,2,3,8,5,4]=>[1,2,3,1,1]=>11010011=>4 [2,8,7,4,6,1,3,5]=>[7,1,2,5,3,8,6,4]=>[1,3,2,1,1]=>11001011=>4 [3,7,8,4,6,1,2,5]=>[6,2,1,5,3,8,7,4]=>[1,1,2,2,1,1]=>11101011=>4 [4,2,7,8,6,1,3,5]=>[5,7,2,1,3,8,6,4]=>[2,1,3,1,1]=>10110011=>4 [6,3,8,5,2,4,7,1]=>[3,6,1,4,7,5,2,8]=>[2,3,1,2]=>10100110=>5 [7,3,8,6,5,2,4,1]=>[2,6,1,3,4,7,5,8]=>[2,4,2]=>10100010=>5 [1,3,8,7,6,2,4,5]=>[8,6,1,2,3,7,5,4]=>[1,1,4,1,1]=>11100011=>2 [1,7,5,6,8,2,3,4]=>[8,2,4,3,1,7,6,5]=>[1,2,1,2,1,1]=>11011011=>4 [7,4,6,8,5,2,3,1]=>[2,5,3,1,4,7,6,8]=>[2,1,3,2]=>10110010=>5 [7,4,5,8,2,6,3,1]=>[2,5,4,1,7,3,6,8]=>[2,1,2,3]=>10110100=>5 [4,6,5,8,1,3,7,2]=>[5,3,4,1,8,6,2,7]=>[1,2,2,1,2]=>11010110=>5 [5,7,6,4,8,1,3,2]=>[4,2,3,5,1,8,6,7]=>[1,3,2,2]=>11001010=>5 [7,5,3,6,8,2,1,4]=>[2,4,6,3,1,7,8,5]=>[3,1,3,1]=>10011001=>4 [5,2,6,7,8,1,3,4]=>[4,7,3,2,1,8,6,5]=>[2,1,1,2,1,1]=>10111011=>4 [4,5,7,8,1,6,2,3]=>[5,4,2,1,8,3,7,6]=>[1,1,1,2,2,1]=>11110101=>4 [4,5,6,8,1,2,7,3]=>[5,4,3,1,8,7,2,6]=>[1,1,1,2,1,2]=>11110110=>3 [3,6,8,7,5,1,2,4]=>[6,3,1,2,4,8,7,5]=>[1,1,4,1,1]=>11100011=>2 [3,6,8,4,7,1,2,5]=>[6,3,1,5,2,8,7,4]=>[1,1,2,2,1,1]=>11101011=>4 [4,2,6,8,7,1,3,5]=>[5,7,3,1,2,8,6,4]=>[2,1,3,1,1]=>10110011=>4 [4,5,3,8,1,7,2,6]=>[5,4,6,1,8,2,7,3]=>[1,2,2,2,1]=>11010101=>6 [3,5,8,4,1,7,2,6]=>[6,4,1,5,8,2,7,3]=>[1,1,3,2,1]=>11100101=>4 [3,4,8,1,5,7,2,6]=>[6,5,1,8,4,2,7,3]=>[1,1,2,1,2,1]=>11101101=>4 [5,3,8,4,2,7,1,6]=>[4,6,1,5,7,2,8,3]=>[2,3,2,1]=>10100101=>6 [5,2,4,8,1,7,3,6]=>[4,7,5,1,8,2,6,3]=>[2,1,2,2,1]=>10110101=>6 [5,3,8,7,2,6,1,4]=>[4,6,1,2,7,3,8,5]=>[2,3,2,1]=>10100101=>6 [5,3,8,6,2,1,7,4]=>[4,6,1,3,7,8,2,5]=>[2,4,2]=>10100010=>5 [1,6,5,7,8,2,3,4]=>[8,3,4,2,1,7,6,5]=>[1,2,1,2,1,1]=>11011011=>4 [6,7,3,5,8,2,1,4]=>[3,2,6,4,1,7,8,5]=>[1,2,1,3,1]=>11011001=>4 [6,7,4,8,5,2,3,1]=>[3,2,5,1,4,7,6,8]=>[1,2,3,2]=>11010010=>5 [5,6,4,8,2,3,7,1]=>[4,3,5,1,7,6,2,8]=>[1,2,2,1,2]=>11010110=>5 [6,5,4,8,1,3,7,2]=>[3,4,5,1,8,6,2,7]=>[3,2,1,2]=>10010110=>5 [7,6,4,8,5,1,3,2]=>[2,3,5,1,4,8,6,7]=>[3,3,2]=>10010010=>5 [6,2,7,5,8,1,3,4]=>[3,7,2,4,1,8,6,5]=>[2,2,2,1,1]=>10101011=>6 [7,2,6,5,8,1,3,4]=>[2,7,3,4,1,8,6,5]=>[2,2,2,1,1]=>10101011=>6 [7,2,6,4,1,3,5,8]=>[2,7,3,5,8,6,4,1]=>[2,3,1,1,1]=>10100111=>4 [7,1,3,4,6,2,5,8]=>[2,8,6,5,3,7,4,1]=>[2,1,1,2,1,1]=>10111011=>4 [7,3,6,5,2,4,1,8]=>[2,6,3,4,7,5,8,1]=>[2,3,2,1]=>10100101=>6 [6,3,7,5,2,4,8,1]=>[3,6,2,4,7,5,1,8]=>[2,3,1,2]=>10100110=>5 [8,1,2,7,4,5,3,6]=>[1,8,7,2,5,4,6,3]=>[2,1,2,2,1]=>10110101=>6 [2,5,7,4,6,1,3,8]=>[7,4,2,5,3,8,6,1]=>[1,1,2,2,1,1]=>11101011=>4 [8,5,7,4,3,1,2,6]=>[1,4,2,5,6,8,7,3]=>[2,4,1,1]=>10100011=>4 [4,6,8,3,1,2,7,5]=>[5,3,1,6,8,7,2,4]=>[1,1,3,1,2]=>11100110=>3 [6,1,7,4,5,3,8,2]=>[3,8,2,5,4,6,1,7]=>[2,2,2,2]=>10101010=>7 [8,5,7,3,2,1,4,6]=>[1,4,2,6,7,8,5,3]=>[2,4,1,1]=>10100011=>4 [8,2,7,3,1,5,4,6]=>[1,7,2,6,8,4,5,3]=>[2,3,2,1]=>10100101=>6 [8,2,1,7,4,5,3,6]=>[1,7,8,2,5,4,6,3]=>[3,2,2,1]=>10010101=>6 [2,6,4,8,3,1,7,5]=>[7,3,5,1,6,8,2,4]=>[1,2,3,2]=>11010010=>5 [8,1,3,7,5,6,4,2]=>[1,8,6,2,4,3,5,7]=>[2,1,2,3]=>10110100=>5 [3,8,2,6,1,4,7,5]=>[6,1,7,3,8,5,2,4]=>[1,2,2,1,2]=>11010110=>5 [1,6,4,7,5,8,3,2]=>[8,3,5,2,4,1,6,7]=>[1,2,2,3]=>11010100=>5 [1,6,8,5,7,3,2,4]=>[8,3,1,4,2,6,7,5]=>[1,1,2,3,1]=>11101001=>4 [1,2,5,3,8,6,7,4]=>[8,7,4,6,1,3,2,5]=>[1,1,2,2,2]=>11101010=>5 [6,3,5,7,8,1,2,4]=>[3,6,4,2,1,8,7,5]=>[2,1,1,2,1,1]=>10111011=>4 [4,1,6,5,7,8,2,3]=>[5,8,3,4,2,1,7,6]=>[2,2,1,2,1]=>10101101=>6 [3,8,1,2,6,4,7,5]=>[6,1,8,7,3,5,2,4]=>[1,2,1,2,2]=>11011010=>5 [6,1,3,7,4,2,8,5]=>[3,8,6,2,5,7,1,4]=>[2,1,3,2]=>10110010=>5 [6,7,2,4,1,3,8,5]=>[3,2,7,5,8,6,1,4]=>[1,2,2,1,2]=>11010110=>5 [8,7,1,3,5,4,2,6]=>[1,2,8,6,4,5,7,3]=>[3,1,3,1]=>10011001=>4 [7,8,4,6,3,2,5,1]=>[2,1,5,3,6,7,4,8]=>[1,2,3,2]=>11010010=>5 [8,7,1,4,6,2,5,3]=>[1,2,8,5,3,7,4,6]=>[3,1,2,2]=>10011010=>5 [7,3,8,4,2,6,5,1]=>[2,6,1,5,7,3,4,8]=>[2,3,3]=>10100100=>5 [8,5,3,4,2,7,1,6]=>[1,4,6,5,7,2,8,3]=>[3,2,2,1]=>10010101=>6 [8,1,3,4,5,2,7,6]=>[1,8,6,5,4,7,2,3]=>[2,1,1,2,2]=>10111010=>5 [8,4,3,5,1,7,2,6]=>[1,5,6,4,8,2,7,3]=>[3,2,2,1]=>10010101=>6 [8,4,5,2,1,3,7,6]=>[1,5,4,7,8,6,2,3]=>[2,3,1,2]=>10100110=>5 [4,8,2,6,1,3,7,5]=>[5,1,7,3,8,6,2,4]=>[1,2,2,1,2]=>11010110=>5 [3,4,1,6,8,2,7,5]=>[6,5,8,3,1,7,2,4]=>[1,2,1,2,2]=>11011010=>5 [1,3,8,2,5,6,7,4]=>[8,6,1,7,4,3,2,5]=>[1,1,2,1,1,2]=>11101110=>3 [3,7,8,2,5,6,4,1]=>[6,2,1,7,4,3,5,8]=>[1,1,2,1,3]=>11101100=>3 [8,1,7,5,2,6,4,3]=>[1,8,2,4,7,3,5,6]=>[2,3,3]=>10100100=>5 [1,8,6,7,2,5,4,3]=>[8,1,3,2,7,4,5,6]=>[1,2,2,3]=>11010100=>5 [7,6,8,3,5,4,2,1]=>[2,3,1,6,4,5,7,8]=>[2,2,4]=>10101000=>5 [1,6,7,3,8,5,4,2]=>[8,3,2,6,1,4,5,7]=>[1,1,2,4]=>11101000=>3 [7,3,4,8,1,6,5,2]=>[2,6,5,1,8,3,4,7]=>[2,1,2,3]=>10110100=>5 [7,8,4,6,2,1,5,3]=>[2,1,5,3,7,8,4,6]=>[1,2,3,2]=>11010010=>5 [8,7,6,2,3,1,5,4]=>[1,2,3,7,6,8,4,5]=>[4,2,2]=>10001010=>5 [8,7,2,4,6,1,5,3]=>[1,2,7,5,3,8,4,6]=>[3,1,2,2]=>10011010=>5 [2,8,6,7,1,5,4,3]=>[7,1,3,2,8,4,5,6]=>[1,2,2,3]=>11010100=>5 [7,8,6,5,2,4,3,1]=>[2,1,3,4,7,5,6,8]=>[1,4,3]=>11000100=>3 [3,6,7,5,2,8,4,1]=>[6,3,2,4,7,1,5,8]=>[1,1,3,3]=>11100100=>3 [5,4,6,7,8,1,3,2]=>[4,5,3,2,1,8,6,7]=>[2,1,1,2,2]=>10111010=>5 [5,3,6,7,8,1,4,2]=>[4,6,3,2,1,8,5,7]=>[2,1,1,2,2]=>10111010=>5 [5,3,7,6,8,4,1,2]=>[4,6,2,3,1,5,8,7]=>[2,2,3,1]=>10101001=>6 [5,3,7,6,4,8,1,2]=>[4,6,2,3,5,1,8,7]=>[2,3,2,1]=>10100101=>6 [7,5,3,2,8,6,4,1]=>[2,4,6,7,1,3,5,8]=>[4,4]=>10001000=>3 [5,4,8,6,7,2,3,1]=>[4,5,1,3,2,7,6,8]=>[2,2,2,2]=>10101010=>7 [2,7,8,4,6,3,5,1]=>[7,2,1,5,3,6,4,8]=>[1,1,2,2,2]=>11101010=>5 [5,4,8,6,3,1,2,7]=>[4,5,1,3,6,8,7,2]=>[2,4,1,1]=>10100011=>4 [6,4,3,7,5,2,8,1]=>[3,5,6,2,4,7,1,8]=>[3,3,2]=>10010010=>5 [4,5,7,3,6,2,8,1]=>[5,4,2,6,3,7,1,8]=>[1,1,2,2,2]=>11101010=>5 [4,5,6,3,8,2,7,1]=>[5,4,3,6,1,7,2,8]=>[1,1,2,2,2]=>11101010=>5 [8,4,7,1,3,5,2,6]=>[1,5,2,8,6,4,7,3]=>[2,2,1,2,1]=>10101101=>6 [5,4,8,7,2,1,3,6]=>[4,5,1,2,7,8,6,3]=>[2,4,1,1]=>10100011=>4 [2,5,4,7,8,1,3,6]=>[7,4,5,2,1,8,6,3]=>[1,2,1,2,1,1]=>11011011=>4 [7,1,6,3,5,2,8,4]=>[2,8,3,6,4,7,1,5]=>[2,2,2,2]=>10101010=>7 [7,1,4,3,6,2,8,5]=>[2,8,5,6,3,7,1,4]=>[2,2,2,2]=>10101010=>7 [5,3,6,4,8,2,7,1]=>[4,6,3,5,1,7,2,8]=>[2,2,2,2]=>10101010=>7 [8,2,6,3,7,4,5,1]=>[1,7,3,6,2,5,4,8]=>[2,2,2,2]=>10101010=>7 [8,2,6,5,7,3,4,1]=>[1,7,3,4,2,6,5,8]=>[2,2,2,2]=>10101010=>7 [8,3,4,5,7,2,6,1]=>[1,6,5,4,2,7,3,8]=>[2,1,1,2,2]=>10111010=>5 [4,5,6,2,7,3,8,1]=>[5,4,3,7,2,6,1,8]=>[1,1,2,2,2]=>11101010=>5 [5,2,7,1,3,6,8,4]=>[4,7,2,8,6,3,1,5]=>[2,2,1,1,2]=>10101110=>5 [5,3,1,7,6,2,8,4]=>[4,6,8,2,3,7,1,5]=>[3,3,2]=>10010010=>5 [7,5,1,6,4,2,8,3]=>[2,4,8,3,5,7,1,6]=>[3,3,2]=>10010010=>5 [7,4,6,1,5,2,8,3]=>[2,5,3,8,4,7,1,6]=>[2,2,2,2]=>10101010=>7 [5,4,6,2,8,3,7,1]=>[4,5,3,7,1,6,2,8]=>[2,2,2,2]=>10101010=>7 [8,4,6,1,7,2,5,3]=>[1,5,3,8,2,7,4,6]=>[2,2,2,2]=>10101010=>7 [8,5,1,6,2,7,4,3]=>[1,4,8,3,7,2,5,6]=>[3,2,3]=>10010100=>5 [5,2,1,6,3,8,7,4]=>[4,7,8,3,6,1,2,5]=>[3,2,3]=>10010100=>5 [4,5,6,3,7,1,8,2]=>[5,4,3,6,2,8,1,7]=>[1,1,2,2,2]=>11101010=>5 [6,3,2,8,5,4,1,7]=>[3,6,7,1,4,5,8,2]=>[3,4,1]=>10010001=>4 [2,7,4,1,5,3,6,8]=>[7,2,5,8,4,6,3,1]=>[1,3,2,1,1]=>11001011=>4 [3,8,4,2,5,1,6,7]=>[6,1,5,7,4,8,3,2]=>[1,3,2,1,1]=>11001011=>4 [4,3,1,5,2,8,6,7]=>[5,6,8,4,7,1,3,2]=>[3,2,2,1]=>10010101=>6 [8,5,4,1,3,2,6,7]=>[1,4,5,8,6,7,3,2]=>[4,2,1,1]=>10001011=>4 [3,8,4,1,5,2,6,7]=>[6,1,5,8,4,7,3,2]=>[1,3,2,1,1]=>11001011=>4 [2,5,4,3,8,1,6,7]=>[7,4,5,6,1,8,3,2]=>[1,3,2,1,1]=>11001011=>4 [3,7,5,4,1,2,6,8]=>[6,2,4,5,8,7,3,1]=>[1,4,1,1,1]=>11000111=>2 [7,5,1,4,3,2,6,8]=>[2,4,8,5,6,7,3,1]=>[3,3,1,1]=>10010011=>4 [4,3,5,1,2,7,6,8]=>[5,6,4,8,7,2,3,1]=>[2,2,1,2,1]=>10101101=>6 [5,3,4,1,7,2,6,8]=>[4,6,5,8,2,7,3,1]=>[2,2,2,1,1]=>10101011=>6 [4,1,6,3,5,2,7,8]=>[5,8,3,6,4,7,2,1]=>[2,2,2,1,1]=>10101011=>6 [4,1,6,5,3,2,7,8]=>[5,8,3,4,6,7,2,1]=>[2,4,1,1]=>10100011=>4 [7,1,5,3,2,6,4,8]=>[2,8,4,6,7,3,5,1]=>[2,3,2,1]=>10100101=>6 [4,2,1,8,6,3,7,5]=>[5,7,8,1,3,6,2,4]=>[3,3,2]=>10010010=>5 [7,3,6,4,1,2,5,8]=>[2,6,3,5,8,7,4,1]=>[2,3,1,1,1]=>10100111=>4 [7,1,6,3,5,2,4,8]=>[2,8,3,6,4,7,5,1]=>[2,2,2,1,1]=>10101011=>6 [3,1,7,2,5,6,4,8]=>[6,8,2,7,4,3,5,1]=>[2,2,1,2,1]=>10101101=>6 [3,7,2,4,1,6,5,8]=>[6,2,7,5,8,3,4,1]=>[1,2,2,2,1]=>11010101=>6 [2,7,6,4,1,3,5,8]=>[7,2,3,5,8,6,4,1]=>[1,4,1,1,1]=>11000111=>2 [7,3,2,1,6,4,5,8]=>[2,6,7,8,3,5,4,1]=>[4,2,1,1]=>10001011=>4 [2,7,3,1,6,4,5,8]=>[7,2,6,8,3,5,4,1]=>[1,3,2,1,1]=>11001011=>4 [5,8,3,2,7,4,1,6]=>[4,1,6,7,2,5,8,3]=>[1,3,3,1]=>11001001=>4 [2,8,6,1,7,4,3,5]=>[7,1,3,8,2,5,6,4]=>[1,3,3,1]=>11001001=>4 [7,3,2,6,1,5,4,8]=>[2,6,7,3,8,4,5,1]=>[3,2,2,1]=>10010101=>6 [2,5,4,6,1,3,7,8]=>[7,4,5,3,8,6,2,1]=>[1,2,2,1,1,1]=>11010111=>4 [2,5,6,4,1,3,7,8]=>[7,4,3,5,8,6,2,1]=>[1,1,3,1,1,1]=>11100111=>2 [2,5,4,1,7,3,6,8]=>[7,4,5,8,2,6,3,1]=>[1,3,2,1,1]=>11001011=>4 [6,4,1,7,2,5,3,8]=>[3,5,8,2,7,4,6,1]=>[3,2,2,1]=>10010101=>6 [2,8,5,7,1,3,6,4]=>[7,1,4,2,8,6,3,5]=>[1,2,2,1,2]=>11010110=>5 [8,5,2,6,1,3,7,4]=>[1,4,7,3,8,6,2,5]=>[3,2,1,2]=>10010110=>5 [7,1,5,6,3,2,4,8]=>[2,8,4,3,6,7,5,1]=>[2,1,3,1,1]=>10110011=>4 [2,4,1,6,5,3,7,8]=>[7,5,8,3,4,6,2,1]=>[1,2,3,1,1]=>11010011=>4 [4,1,2,7,5,6,3,8]=>[5,8,7,2,4,3,6,1]=>[2,1,2,2,1]=>10110101=>6 [7,1,2,6,5,4,3,8]=>[2,8,7,3,4,5,6,1]=>[2,1,4,1]=>10110001=>4 [7,1,3,5,6,2,4,8]=>[2,8,6,4,3,7,5,1]=>[2,1,1,2,1,1]=>10111011=>4 [8,2,1,5,6,3,7,4]=>[1,7,8,4,3,6,2,5]=>[3,1,2,2]=>10011010=>5 [2,8,5,1,6,4,7,3]=>[7,1,4,8,3,5,2,6]=>[1,3,2,2]=>11001010=>5 [6,1,4,5,3,2,7,8]=>[3,8,5,4,6,7,2,1]=>[2,1,3,1,1]=>10110011=>4 [3,1,6,5,4,2,7,8]=>[6,8,3,4,5,7,2,1]=>[2,4,1,1]=>10100011=>4 [3,1,4,6,5,2,7,8]=>[6,8,5,3,4,7,2,1]=>[2,1,3,1,1]=>10110011=>4 [6,4,1,5,3,2,8,7]=>[3,5,8,4,6,7,1,2]=>[3,3,2]=>10010010=>5 [8,6,1,5,2,3,7,4]=>[1,3,8,4,7,6,2,5]=>[3,2,1,2]=>10010110=>5 [5,7,3,1,8,4,2,6]=>[4,2,6,8,1,5,7,3]=>[1,3,3,1]=>11001001=>4 [2,1,8,6,3,7,5,4]=>[7,8,1,3,6,2,4,5]=>[2,3,3]=>10100100=>5 [4,8,2,3,7,6,5,1]=>[5,1,7,6,2,3,4,8]=>[1,2,1,4]=>11011000=>3 [5,8,3,1,7,6,4,2]=>[4,1,6,8,2,3,5,7]=>[1,3,4]=>11001000=>3 [7,8,5,1,2,6,4,3]=>[2,1,4,8,7,3,5,6]=>[1,3,1,3]=>11001100=>3 [6,8,5,7,2,4,3,1]=>[3,1,4,2,7,5,6,8]=>[1,2,2,3]=>11010100=>5 [7,4,6,3,1,8,2,5]=>[2,5,3,6,8,1,7,4]=>[2,3,2,1]=>10100101=>6 [7,4,1,6,8,3,2,5]=>[2,5,8,3,1,6,7,4]=>[3,1,3,1]=>10011001=>4 [7,6,3,2,8,5,1,4]=>[2,3,6,7,1,4,8,5]=>[4,3,1]=>10001001=>4 [7,5,1,8,4,6,2,3]=>[2,4,8,1,5,3,7,6]=>[3,2,2,1]=>10010101=>6 [7,6,2,4,1,3,8,5]=>[2,3,7,5,8,6,1,4]=>[3,2,1,2]=>10010110=>5 [7,3,8,5,2,6,1,4]=>[2,6,1,4,7,3,8,5]=>[2,3,2,1]=>10100101=>6 [5,3,8,4,7,2,1,6]=>[4,6,1,5,2,7,8,3]=>[2,2,3,1]=>10101001=>6 [5,6,3,8,7,4,1,2]=>[4,3,6,1,2,5,8,7]=>[1,2,4,1]=>11010001=>4 [6,7,3,8,1,5,4,2]=>[3,2,6,1,8,4,5,7]=>[1,2,2,3]=>11010100=>5 [6,3,8,4,1,5,2,7]=>[3,6,1,5,8,4,7,2]=>[2,3,2,1]=>10100101=>6 [6,3,8,1,5,4,2,7]=>[3,6,1,8,4,5,7,2]=>[2,2,3,1]=>10101001=>6 [6,3,8,1,4,5,2,7]=>[3,6,1,8,5,4,7,2]=>[2,2,1,2,1]=>10101101=>6 [4,3,8,5,7,2,6,1]=>[5,6,1,4,2,7,3,8]=>[2,2,2,2]=>10101010=>7 [6,3,8,5,1,4,2,7]=>[3,6,1,4,8,5,7,2]=>[2,3,2,1]=>10100101=>6 [6,3,8,5,4,1,2,7]=>[3,6,1,4,5,8,7,2]=>[2,4,1,1]=>10100011=>4 [6,3,8,4,5,1,2,7]=>[3,6,1,5,4,8,7,2]=>[2,2,2,1,1]=>10101011=>6 [2,6,3,4,8,1,5,7]=>[7,3,6,5,1,8,4,2]=>[1,2,1,2,1,1]=>11011011=>4 [5,6,1,8,7,4,3,2]=>[4,3,8,1,2,5,6,7]=>[1,2,5]=>11010000=>3 [5,2,3,1,4,8,6,7]=>[4,7,6,8,5,1,3,2]=>[2,2,1,2,1]=>10101101=>6 [5,4,1,3,2,8,6,7]=>[4,5,8,6,7,1,3,2]=>[3,2,2,1]=>10010101=>6 [3,7,4,2,8,5,6,1]=>[6,2,5,7,1,4,3,8]=>[1,3,2,2]=>11001010=>5 [5,1,4,3,2,8,6,7]=>[4,8,5,6,7,1,3,2]=>[2,3,2,1]=>10100101=>6 [5,1,3,4,2,8,6,7]=>[4,8,6,5,7,1,3,2]=>[2,1,2,2,1]=>10110101=>6 [5,2,1,4,3,8,6,7]=>[4,7,8,5,6,1,3,2]=>[3,2,2,1]=>10010101=>6 [5,2,1,3,4,8,6,7]=>[4,7,8,6,5,1,3,2]=>[3,1,1,2,1]=>10011101=>4 [5,1,2,4,3,8,6,7]=>[4,8,7,5,6,1,3,2]=>[2,1,2,2,1]=>10110101=>6 [6,7,1,8,3,5,4,2]=>[3,2,8,1,6,4,5,7]=>[1,2,2,3]=>11010100=>5 [3,2,6,1,8,4,5,7]=>[6,7,3,8,1,5,4,2]=>[2,2,2,1,1]=>10101011=>6 [4,2,7,3,8,5,1,6]=>[5,7,2,6,1,4,8,3]=>[2,2,3,1]=>10101001=>6 [4,7,3,2,8,5,1,6]=>[5,2,6,7,1,4,8,3]=>[1,3,3,1]=>11001001=>4 [5,7,6,8,2,4,3,1]=>[4,2,3,1,7,5,6,8]=>[1,2,2,3]=>11010100=>5 [4,3,7,2,8,5,6,1]=>[5,6,2,7,1,4,3,8]=>[2,2,2,2]=>10101010=>7 [2,3,7,1,8,5,4,6]=>[7,6,2,8,1,4,5,3]=>[1,1,2,3,1]=>11101001=>4 [5,2,4,1,3,8,6,7]=>[4,7,5,8,6,1,3,2]=>[2,2,1,2,1]=>10101101=>6 [5,2,4,3,1,8,6,7]=>[4,7,5,6,8,1,3,2]=>[2,3,2,1]=>10100101=>6 [5,3,4,1,2,8,6,7]=>[4,6,5,8,7,1,3,2]=>[2,2,1,2,1]=>10101101=>6 [5,2,3,4,1,8,6,7]=>[4,7,6,5,8,1,3,2]=>[2,1,2,2,1]=>10110101=>6 [2,6,1,7,4,5,8,3]=>[7,3,8,2,5,4,1,6]=>[1,2,2,1,2]=>11010110=>5 [5,1,7,3,4,6,8,2]=>[4,8,2,6,5,3,1,7]=>[2,2,1,1,2]=>10101110=>5 [5,8,7,4,3,1,6,2]=>[4,1,2,5,6,8,3,7]=>[1,5,2]=>11000010=>3 [6,8,7,1,4,3,5,2]=>[3,1,2,8,5,6,4,7]=>[1,3,2,2]=>11001010=>5 [7,3,1,4,5,8,6,2]=>[2,6,8,5,4,1,3,7]=>[3,1,1,3]=>10011100=>3 [6,8,1,3,4,5,7,2]=>[3,1,8,6,5,4,2,7]=>[1,2,1,1,1,2]=>11011110=>3 [5,8,1,3,4,6,7,2]=>[4,1,8,6,5,3,2,7]=>[1,2,1,1,1,2]=>11011110=>3 [5,2,6,3,7,8,1,4]=>[4,7,3,6,2,1,8,5]=>[2,2,1,2,1]=>10101101=>6 [3,5,2,8,1,6,7,4]=>[6,4,7,1,8,3,2,5]=>[1,2,2,1,2]=>11010110=>5 [4,5,6,2,8,1,7,3]=>[5,4,3,7,1,8,2,6]=>[1,1,2,2,2]=>11101010=>5 [2,6,1,4,8,5,7,3]=>[7,3,8,5,1,4,2,6]=>[1,2,1,2,2]=>11011010=>5 [6,1,8,4,2,5,3,7]=>[3,8,1,5,7,4,6,2]=>[2,3,2,1]=>10100101=>6 [8,4,5,1,6,2,3,7]=>[1,5,4,8,3,7,6,2]=>[2,2,2,1,1]=>10101011=>6 [5,1,6,3,2,8,4,7]=>[4,8,3,6,7,1,5,2]=>[2,3,2,1]=>10100101=>6 [3,1,7,8,2,5,4,6]=>[6,8,2,1,7,4,5,3]=>[2,1,2,2,1]=>10110101=>6 [6,2,8,3,5,7,1,4]=>[3,7,1,6,4,2,8,5]=>[2,2,1,2,1]=>10101101=>6 [6,2,3,7,4,1,8,5]=>[3,7,6,2,5,8,1,4]=>[2,1,3,2]=>10110010=>5 [6,3,7,4,1,2,5,8]=>[3,6,2,5,8,7,4,1]=>[2,3,1,1,1]=>10100111=>4 [7,2,6,8,4,3,1,5]=>[2,7,3,1,5,6,8,4]=>[2,1,4,1]=>10110001=>4 [3,7,2,8,6,5,1,4]=>[6,2,7,1,3,4,8,5]=>[1,2,4,1]=>11010001=>4 [5,2,7,3,6,1,8,4]=>[4,7,2,6,3,8,1,5]=>[2,2,2,2]=>10101010=>7 [3,6,7,5,1,2,4,8]=>[6,3,2,4,8,7,5,1]=>[1,1,3,1,1,1]=>11100111=>2 [2,7,5,8,1,6,4,3]=>[7,2,4,1,8,3,5,6]=>[1,2,2,3]=>11010100=>5 [7,4,5,1,8,2,3,6]=>[2,5,4,8,1,7,6,3]=>[2,2,2,1,1]=>10101011=>6 [4,7,1,8,2,3,6,5]=>[5,2,8,1,7,6,3,4]=>[1,2,2,1,2]=>11010110=>5 [7,2,3,1,8,4,5,6]=>[2,7,6,8,1,5,4,3]=>[2,2,2,1,1]=>10101011=>6 [2,1,4,8,3,7,5,6]=>[7,8,5,1,6,2,4,3]=>[2,1,2,2,1]=>10110101=>6 [6,2,8,1,7,3,4,5]=>[3,7,1,8,2,6,5,4]=>[2,2,2,1,1]=>10101011=>6 [4,8,1,6,7,3,2,5]=>[5,1,8,3,2,6,7,4]=>[1,2,1,3,1]=>11011001=>4 [1,2,7,8,4,3,6,5]=>[8,7,2,1,5,6,3,4]=>[1,1,1,3,2]=>11110010=>3 [5,8,1,4,3,2,7,6]=>[4,1,8,5,6,7,2,3]=>[1,2,3,2]=>11010010=>5 [4,8,1,3,5,6,2,7]=>[5,1,8,6,4,3,7,2]=>[1,2,1,1,2,1]=>11011101=>4 [6,8,1,3,2,4,5,7]=>[3,1,8,6,7,5,4,2]=>[1,2,2,1,1,1]=>11010111=>4 [3,7,4,1,5,6,8,2]=>[6,2,5,8,4,3,1,7]=>[1,3,1,1,2]=>11001110=>3 [5,3,7,8,4,2,6,1]=>[4,6,2,1,5,7,3,8]=>[2,1,3,2]=>10110010=>5 [6,3,7,8,2,4,5,1]=>[3,6,2,1,7,5,4,8]=>[2,1,2,1,2]=>10110110=>5 [7,3,5,2,4,8,6,1]=>[2,6,4,7,5,1,3,8]=>[2,2,1,3]=>10101100=>5 [8,5,2,4,3,1,7,6]=>[1,4,7,5,6,8,2,3]=>[3,3,2]=>10010010=>5 [7,5,4,2,3,1,8,6]=>[2,4,5,7,6,8,1,3]=>[4,2,2]=>10001010=>5 [4,6,5,3,1,8,2,7]=>[5,3,4,6,8,1,7,2]=>[1,4,2,1]=>11000101=>4 [5,7,4,1,3,2,8,6]=>[4,2,5,8,6,7,1,3]=>[1,3,2,2]=>11001010=>5 [8,6,2,5,1,7,3,4]=>[1,3,7,4,8,2,6,5]=>[3,2,2,1]=>10010101=>6 [7,5,6,2,8,1,3,4]=>[2,4,3,7,1,8,6,5]=>[2,2,2,1,1]=>10101011=>6 [8,4,2,5,3,7,1,6]=>[1,5,7,4,6,2,8,3]=>[3,2,2,1]=>10010101=>6 [3,5,4,6,7,1,8,2]=>[6,4,5,3,2,8,1,7]=>[1,2,1,2,2]=>11011010=>5 [1,3,2,6,4,8,7,5]=>[8,6,7,3,5,1,2,4]=>[1,2,2,3]=>11010100=>5 [1,5,2,6,4,8,7,3]=>[8,4,7,3,5,1,2,6]=>[1,2,2,3]=>11010100=>5 [1,5,3,6,4,8,7,2]=>[8,4,6,3,5,1,2,7]=>[1,2,2,3]=>11010100=>5 [1,6,2,5,3,8,7,4]=>[8,3,7,4,6,1,2,5]=>[1,2,2,3]=>11010100=>5 [2,5,1,4,3,8,7,6]=>[7,4,8,5,6,1,2,3]=>[1,2,2,3]=>11010100=>5 [1,7,2,5,4,8,6,3]=>[8,2,7,4,5,1,3,6]=>[1,2,2,3]=>11010100=>5 [1,7,3,5,4,8,6,2]=>[8,2,6,4,5,1,3,7]=>[1,2,2,3]=>11010100=>5 [1,8,2,6,3,7,5,4]=>[8,1,7,3,6,2,4,5]=>[1,2,2,3]=>11010100=>5 [1,8,3,6,4,7,5,2]=>[8,1,6,3,5,2,4,7]=>[1,2,2,3]=>11010100=>5 [1,7,3,6,4,8,5,2]=>[8,2,6,3,5,1,4,7]=>[1,2,2,3]=>11010100=>5 [1,7,2,6,4,8,5,3]=>[8,2,7,3,5,1,4,6]=>[1,2,2,3]=>11010100=>5 [1,7,2,6,3,8,5,4]=>[8,2,7,3,6,1,4,5]=>[1,2,2,3]=>11010100=>5 [1,4,3,7,5,8,6,2]=>[8,5,6,2,4,1,3,7]=>[1,2,2,3]=>11010100=>5 [1,4,2,8,5,7,6,3]=>[8,5,7,1,4,2,3,6]=>[1,2,2,3]=>11010100=>5 [1,3,2,8,4,7,6,5]=>[8,6,7,1,5,2,3,4]=>[1,2,2,3]=>11010100=>5 [4,8,1,3,2,6,5,7]=>[5,1,8,6,7,3,4,2]=>[1,2,2,2,1]=>11010101=>6 [1,5,2,8,4,7,6,3]=>[8,4,7,1,5,2,3,6]=>[1,2,2,3]=>11010100=>5 [1,5,3,8,4,7,6,2]=>[8,4,6,1,5,2,3,7]=>[1,2,2,3]=>11010100=>5 [1,6,3,8,4,7,5,2]=>[8,3,6,1,5,2,4,7]=>[1,2,2,3]=>11010100=>5 [1,6,2,8,3,7,5,4]=>[8,3,7,1,6,2,4,5]=>[1,2,2,3]=>11010100=>5 [2,7,3,8,1,5,4,6]=>[7,2,6,1,8,4,5,3]=>[1,2,2,2,1]=>11010101=>6 [2,8,3,7,1,5,4,6]=>[7,1,6,2,8,4,5,3]=>[1,2,2,2,1]=>11010101=>6 [1,8,4,7,3,6,5,2]=>[8,1,5,2,6,3,4,7]=>[1,2,2,3]=>11010100=>5 [2,6,3,8,1,5,4,7]=>[7,3,6,1,8,4,5,2]=>[1,2,2,2,1]=>11010101=>6 [8,3,1,4,2,6,5,7]=>[1,6,8,5,7,3,4,2]=>[3,2,2,1]=>10010101=>6 [4,8,7,3,5,2,1,6]=>[5,1,2,6,4,7,8,3]=>[1,3,3,1]=>11001001=>4 [6,8,7,3,5,2,4,1]=>[3,1,2,6,4,7,5,8]=>[1,3,2,2]=>11001010=>5 [8,3,5,1,2,6,4,7]=>[1,6,4,8,7,3,5,2]=>[2,2,1,2,1]=>10101101=>6 [8,6,3,1,5,4,2,7]=>[1,3,6,8,4,5,7,2]=>[4,3,1]=>10001001=>4 [8,6,4,1,5,3,2,7]=>[1,3,5,8,4,6,7,2]=>[4,3,1]=>10001001=>4 [8,6,5,4,1,3,2,7]=>[1,3,4,5,8,6,7,2]=>[5,2,1]=>10000101=>4 [5,3,8,7,4,6,2,1]=>[4,6,1,2,5,3,7,8]=>[2,3,3]=>10100100=>5 [2,3,8,7,4,6,1,5]=>[7,6,1,2,5,3,8,4]=>[1,1,3,2,1]=>11100101=>4 [6,8,7,3,1,5,4,2]=>[3,1,2,6,8,4,5,7]=>[1,4,3]=>11000100=>3 [6,8,5,4,1,3,7,2]=>[3,1,4,5,8,6,2,7]=>[1,4,1,2]=>11000110=>3 [2,5,8,7,4,6,3,1]=>[7,4,1,2,5,3,6,8]=>[1,1,3,3]=>11100100=>3 [4,8,7,6,5,1,3,2]=>[5,1,2,3,4,8,6,7]=>[1,5,2]=>11000010=>3 [3,8,7,5,1,6,2,4]=>[6,1,2,4,8,3,7,5]=>[1,4,2,1]=>11000101=>4 [2,3,8,7,5,6,1,4]=>[7,6,1,2,4,3,8,5]=>[1,1,3,2,1]=>11100101=>4 [2,8,7,1,3,6,4,5]=>[7,1,2,8,6,3,5,4]=>[1,3,1,2,1]=>11001101=>4 [6,8,7,3,5,2,1,4]=>[3,1,2,6,4,7,8,5]=>[1,3,3,1]=>11001001=>4 [3,5,8,6,4,2,7,1]=>[6,4,1,3,5,7,2,8]=>[1,1,4,2]=>11100010=>3 [6,8,4,1,5,2,7,3]=>[3,1,5,8,4,7,2,6]=>[1,3,2,2]=>11001010=>5 [6,8,2,1,7,5,3,4]=>[3,1,7,8,2,4,6,5]=>[1,3,3,1]=>11001001=>4 [2,4,8,6,5,1,7,3]=>[7,5,1,3,4,8,2,6]=>[1,1,4,2]=>11100010=>3 [4,8,7,6,5,2,1,3]=>[5,1,2,3,4,7,8,6]=>[1,6,1]=>11000001=>2 [4,8,7,5,1,6,2,3]=>[5,1,2,4,8,3,7,6]=>[1,4,2,1]=>11000101=>4 [4,5,2,1,8,6,7,3]=>[5,4,7,8,1,3,2,6]=>[1,3,2,2]=>11001010=>5 [4,5,8,3,1,6,7,2]=>[5,4,1,6,8,3,2,7]=>[1,1,3,1,2]=>11100110=>3 [5,7,2,8,4,6,1,3]=>[4,2,7,1,5,3,8,6]=>[1,2,2,2,1]=>11010101=>6 [6,7,3,2,4,8,5,1]=>[3,2,6,7,5,1,4,8]=>[1,3,1,3]=>11001100=>3 [7,2,8,6,4,5,1,3]=>[2,7,1,3,5,4,8,6]=>[2,3,2,1]=>10100101=>6 [8,7,2,6,5,1,3,4]=>[1,2,7,3,4,8,6,5]=>[3,3,1,1]=>10010011=>4 [5,2,7,8,4,1,3,6]=>[4,7,2,1,5,8,6,3]=>[2,1,3,1,1]=>10110011=>4 [2,7,8,6,4,1,3,5]=>[7,2,1,3,5,8,6,4]=>[1,1,4,1,1]=>11100011=>2 [7,6,3,5,2,8,4,1]=>[2,3,6,4,7,1,5,8]=>[3,2,3]=>10010100=>5 [6,2,7,4,8,5,3,1]=>[3,7,2,5,1,4,6,8]=>[2,2,4]=>10101000=>5 [8,6,5,1,7,2,4,3]=>[1,3,4,8,2,7,5,6]=>[4,2,2]=>10001010=>5 [6,8,5,1,7,3,2,4]=>[3,1,4,8,2,6,7,5]=>[1,3,3,1]=>11001001=>4 [1,6,8,3,7,4,2,5]=>[8,3,1,6,2,5,7,4]=>[1,1,2,3,1]=>11101001=>4 [5,1,6,3,4,8,2,7]=>[4,8,3,6,5,1,7,2]=>[2,2,1,2,1]=>10101101=>6 [3,5,2,6,4,8,1,7]=>[6,4,7,3,5,1,8,2]=>[1,2,2,2,1]=>11010101=>6 [3,5,2,4,8,1,7,6]=>[6,4,7,5,1,8,2,3]=>[1,2,1,2,2]=>11011010=>5 [6,3,8,2,4,1,7,5]=>[3,6,1,7,5,8,2,4]=>[2,2,2,2]=>10101010=>7 [4,6,3,8,7,5,2,1]=>[5,3,6,1,2,4,7,8]=>[1,2,5]=>11010000=>3 [6,3,8,7,5,4,2,1]=>[3,6,1,2,4,5,7,8]=>[2,6]=>10100000=>3 [6,8,4,2,1,7,5,3]=>[3,1,5,7,8,2,4,6]=>[1,4,3]=>11000100=>3 [5,2,6,4,3,8,1,7]=>[4,7,3,5,6,1,8,2]=>[2,3,2,1]=>10100101=>6 [6,5,3,1,4,8,2,7]=>[3,4,6,8,5,1,7,2]=>[4,1,2,1]=>10001101=>4 [3,1,7,8,6,4,2,5]=>[6,8,2,1,3,5,7,4]=>[2,1,4,1]=>10110001=>4 [3,8,1,7,6,2,5,4]=>[6,1,8,2,3,7,4,5]=>[1,2,3,2]=>11010010=>5 [8,1,7,6,4,2,5,3]=>[1,8,2,3,5,7,4,6]=>[2,4,2]=>10100010=>5 [7,2,6,3,8,5,4,1]=>[2,7,3,6,1,4,5,8]=>[2,2,4]=>10101000=>5 [7,3,8,6,4,1,5,2]=>[2,6,1,3,5,8,4,7]=>[2,4,2]=>10100010=>5 [1,7,5,8,2,4,3,6]=>[8,2,4,1,7,5,6,3]=>[1,2,2,2,1]=>11010101=>6 [6,1,5,2,4,8,3,7]=>[3,8,4,7,5,1,6,2]=>[2,2,1,2,1]=>10101101=>6 [1,5,6,3,8,2,4,7]=>[8,4,3,6,1,7,5,2]=>[1,1,2,2,1,1]=>11101011=>4 [8,7,1,3,6,5,2,4]=>[1,2,8,6,3,4,7,5]=>[3,1,3,1]=>10011001=>4 [2,6,7,4,3,8,5,1]=>[7,3,2,5,6,1,4,8]=>[1,1,3,3]=>11100100=>3 [5,2,4,7,3,8,6,1]=>[4,7,5,2,6,1,3,8]=>[2,1,2,3]=>10110100=>5 [1,5,8,7,2,4,6,3]=>[8,4,1,2,7,5,3,6]=>[1,1,3,1,2]=>11100110=>3 [1,4,8,7,3,6,5,2]=>[8,5,1,2,6,3,4,7]=>[1,1,3,3]=>11100100=>3 [8,3,7,2,5,1,6,4]=>[1,6,2,7,4,8,3,5]=>[2,2,2,2]=>10101010=>7 [3,7,2,8,1,5,4,6]=>[6,2,7,1,8,4,5,3]=>[1,2,2,2,1]=>11010101=>6 [3,2,6,1,5,8,4,7]=>[6,7,3,8,4,1,5,2]=>[2,2,1,2,1]=>10101101=>6 [7,2,1,5,8,4,3,6]=>[2,7,8,4,1,5,6,3]=>[3,1,3,1]=>10011001=>4 [7,2,8,1,4,3,6,5]=>[2,7,1,8,5,6,3,4]=>[2,2,2,2]=>10101010=>7 [1,7,8,3,2,6,5,4]=>[8,2,1,6,7,3,4,5]=>[1,1,3,3]=>11100100=>3 [1,7,4,8,3,2,6,5]=>[8,2,5,1,6,7,3,4]=>[1,2,3,2]=>11010010=>5 [1,7,5,4,8,3,2,6]=>[8,2,4,5,1,6,7,3]=>[1,3,3,1]=>11001001=>4 [6,1,5,4,3,8,2,7]=>[3,8,4,5,6,1,7,2]=>[2,3,2,1]=>10100101=>6 [1,7,4,5,6,8,2,3]=>[8,2,5,4,3,1,7,6]=>[1,2,1,1,2,1]=>11011101=>4 [1,3,4,5,6,7,9,8,2]=>[9,7,6,5,4,3,1,2,8]=>[1,1,1,1,1,1,3]=>111111100=>1 [1,6,4,2,3,5,7,8]=>[8,3,5,7,6,4,2,1]=>[1,3,1,1,1,1]=>11001111=>2 [1,6,5,2,3,4,7,8]=>[8,3,4,7,6,5,2,1]=>[1,3,1,1,1,1]=>11001111=>2 [1,8,5,2,3,4,6,7]=>[8,1,4,7,6,5,3,2]=>[1,3,1,1,1,1]=>11001111=>2 [1,8,7,2,3,4,5,6]=>[8,1,2,7,6,5,4,3]=>[1,3,1,1,1,1]=>11001111=>2 [1,5,8,6,2,3,4,7]=>[8,4,1,3,7,6,5,2]=>[1,1,3,1,1,1]=>11100111=>2 [1,6,8,5,2,3,4,7]=>[8,3,1,4,7,6,5,2]=>[1,1,3,1,1,1]=>11100111=>2 [1,6,7,5,2,3,4,8]=>[8,3,2,4,7,6,5,1]=>[1,1,3,1,1,1]=>11100111=>2 [1,6,5,7,2,3,4,8]=>[8,3,4,2,7,6,5,1]=>[1,2,2,1,1,1]=>11010111=>4 [1,7,5,6,2,3,4,8]=>[8,2,4,3,7,6,5,1]=>[1,2,2,1,1,1]=>11010111=>4 [1,7,6,5,2,3,4,8]=>[8,2,3,4,7,6,5,1]=>[1,4,1,1,1]=>11000111=>2 [1,3,2,7,6,4,5,8]=>[8,6,7,2,3,5,4,1]=>[1,2,3,1,1]=>11010011=>4 [1,2,3,7,6,4,5,8]=>[8,7,6,2,3,5,4,1]=>[1,1,1,3,1,1]=>11110011=>2 [1,5,4,2,3,7,6,8]=>[8,4,5,7,6,2,3,1]=>[1,3,1,2,1]=>11001101=>4 [1,8,2,3,7,4,5,6]=>[8,1,7,6,2,5,4,3]=>[1,2,1,2,1,1]=>11011011=>4 [1,5,4,2,3,8,6,7]=>[8,4,5,7,6,1,3,2]=>[1,3,1,2,1]=>11001101=>4 [1,3,2,8,6,4,5,7]=>[8,6,7,1,3,5,4,2]=>[1,2,3,1,1]=>11010011=>4 [1,7,5,8,2,3,4,6]=>[8,2,4,1,7,6,5,3]=>[1,2,2,1,1,1]=>11010111=>4 [1,8,7,5,2,3,4,6]=>[8,1,2,4,7,6,5,3]=>[1,4,1,1,1]=>11000111=>2 [1,7,4,2,8,3,5,6]=>[8,2,5,7,1,6,4,3]=>[1,3,2,1,1]=>11001011=>4 [1,7,8,5,2,3,4,6]=>[8,2,1,4,7,6,5,3]=>[1,1,3,1,1,1]=>11100111=>2 [2,1,5,8,6,3,7,4]=>[7,8,4,1,3,6,2,5]=>[2,1,3,2]=>10110010=>5 [2,5,8,4,6,1,7,3]=>[7,4,1,5,3,8,2,6]=>[1,1,2,2,2]=>11101010=>5 [2,5,3,8,6,1,7,4]=>[7,4,6,1,3,8,2,5]=>[1,2,3,2]=>11010010=>5 [2,6,3,5,8,1,7,4]=>[7,3,6,4,1,8,2,5]=>[1,2,1,2,2]=>11011010=>5 [6,3,2,5,8,1,7,4]=>[3,6,7,4,1,8,2,5]=>[3,1,2,2]=>10011010=>5 [5,3,2,8,6,1,7,4]=>[4,6,7,1,3,8,2,5]=>[3,3,2]=>10010010=>5 [5,8,4,6,1,3,7,2]=>[4,1,5,3,8,6,2,7]=>[1,2,2,1,2]=>11010110=>5 [5,3,8,6,1,4,7,2]=>[4,6,1,3,8,5,2,7]=>[2,3,1,2]=>10100110=>5 [8,3,5,7,2,6,4,1]=>[1,6,4,2,7,3,5,8]=>[2,1,2,3]=>10110100=>5 [2,4,6,8,5,3,7,1]=>[7,5,3,1,4,6,2,8]=>[1,1,1,3,2]=>11110010=>3 [2,4,8,1,7,6,5,3]=>[7,5,1,8,2,3,4,6]=>[1,1,2,4]=>11101000=>3 [4,3,8,1,5,7,6,2]=>[5,6,1,8,4,2,3,7]=>[2,2,1,3]=>10101100=>5 [3,8,4,1,5,7,6,2]=>[6,1,5,8,4,2,3,7]=>[1,3,1,3]=>11001100=>3 [4,3,6,8,5,2,7,1]=>[5,6,3,1,4,7,2,8]=>[2,1,3,2]=>10110010=>5 [8,5,4,7,2,6,3,1]=>[1,4,5,2,7,3,6,8]=>[3,2,3]=>10010100=>5 [3,6,4,8,5,2,7,1]=>[6,3,5,1,4,7,2,8]=>[1,2,3,2]=>11010010=>5 [3,6,4,1,8,2,7,5]=>[6,3,5,8,1,7,2,4]=>[1,3,2,2]=>11001010=>5 [3,6,4,1,5,2,8,7]=>[6,3,5,8,4,7,1,2]=>[1,3,2,2]=>11001010=>5 [4,8,6,5,1,3,7,2]=>[5,1,3,4,8,6,2,7]=>[1,4,1,2]=>11000110=>3 [2,8,3,5,6,7,1,4]=>[7,1,6,4,3,2,8,5]=>[1,2,1,1,2,1]=>11011101=>4 [5,6,2,4,7,1,8,3]=>[4,3,7,5,2,8,1,6]=>[1,2,1,2,2]=>11011010=>5 [2,7,5,4,6,1,8,3]=>[7,2,4,5,3,8,1,6]=>[1,3,2,2]=>11001010=>5 [2,3,7,4,6,1,8,5]=>[7,6,2,5,3,8,1,4]=>[1,1,2,2,2]=>11101010=>5 [2,6,7,4,1,3,8,5]=>[7,3,2,5,8,6,1,4]=>[1,1,3,1,2]=>11100110=>3 [2,4,6,3,5,7,8,1]=>[7,5,3,6,4,2,1,8]=>[1,1,2,1,1,2]=>11101110=>3 [2,3,6,1,5,7,8,4]=>[7,6,3,8,4,2,1,5]=>[1,1,2,1,1,2]=>11101110=>3 [4,3,6,2,5,7,8,1]=>[5,6,3,7,4,2,1,8]=>[2,2,1,1,2]=>10101110=>5 [4,6,1,2,5,7,8,3]=>[5,3,8,7,4,2,1,6]=>[1,2,1,1,1,2]=>11011110=>3 [2,6,4,1,5,7,8,3]=>[7,3,5,8,4,2,1,6]=>[1,3,1,1,2]=>11001110=>3 [2,4,1,6,5,7,8,3]=>[7,5,8,3,4,2,1,6]=>[1,2,2,1,2]=>11010110=>5 [8,6,5,3,1,7,4,2]=>[1,3,4,6,8,2,5,7]=>[5,3]=>10000100=>3 [6,4,7,3,1,8,5,2]=>[3,5,2,6,8,1,4,7]=>[2,3,3]=>10100100=>5 [6,4,7,5,3,1,8,2]=>[3,5,2,4,6,8,1,7]=>[2,4,2]=>10100010=>5 [6,4,2,7,5,1,8,3]=>[3,5,7,2,4,8,1,6]=>[3,3,2]=>10010010=>5 [7,5,4,2,6,3,1,8]=>[2,4,5,7,3,6,8,1]=>[4,3,1]=>10001001=>4 [7,5,4,2,6,1,8,3]=>[2,4,5,7,3,8,1,6]=>[4,2,2]=>10001010=>5 [7,5,4,6,3,1,8,2]=>[2,4,5,3,6,8,1,7]=>[3,3,2]=>10010010=>5 [4,7,3,1,8,6,5,2]=>[5,2,6,8,1,3,4,7]=>[1,3,4]=>11001000=>3 [4,8,6,5,3,1,7,2]=>[5,1,3,4,6,8,2,7]=>[1,5,2]=>11000010=>3 [5,6,4,7,3,1,8,2]=>[4,3,5,2,6,8,1,7]=>[1,2,3,2]=>11010010=>5 [5,6,4,2,7,1,8,3]=>[4,3,5,7,2,8,1,6]=>[1,3,2,2]=>11001010=>5 [5,3,6,8,2,1,7,4]=>[4,6,3,1,7,8,2,5]=>[2,1,3,2]=>10110010=>5 [4,2,7,5,3,1,8,6]=>[5,7,2,4,6,8,1,3]=>[2,4,2]=>10100010=>5 [4,2,8,6,5,3,1,7]=>[5,7,1,3,4,6,8,2]=>[2,5,1]=>10100001=>4 [5,4,2,8,6,3,1,7]=>[4,5,7,1,3,6,8,2]=>[3,4,1]=>10010001=>4 [5,6,3,2,8,4,1,7]=>[4,3,6,7,1,5,8,2]=>[1,3,3,1]=>11001001=>4 [5,3,6,4,8,2,1,7]=>[4,6,3,5,1,7,8,2]=>[2,2,3,1]=>10101001=>6 [6,8,4,3,2,5,1,7]=>[3,1,5,6,7,4,8,2]=>[1,4,2,1]=>11000101=>4 [4,8,3,2,6,5,1,7]=>[5,1,6,7,3,4,8,2]=>[1,3,3,1]=>11001001=>4 [7,3,2,5,4,1,8,6]=>[2,6,7,4,5,8,1,3]=>[3,3,2]=>10010010=>5 [7,3,2,5,1,8,6,4]=>[2,6,7,4,8,1,3,5]=>[3,2,3]=>10010100=>5 [4,6,3,8,7,2,1,5]=>[5,3,6,1,2,7,8,4]=>[1,2,4,1]=>11010001=>4 [4,7,6,3,2,5,1,8]=>[5,2,3,6,7,4,8,1]=>[1,4,2,1]=>11000101=>4 [4,7,6,3,8,2,1,5]=>[5,2,3,6,1,7,8,4]=>[1,3,3,1]=>11001001=>4 [4,7,3,8,6,2,1,5]=>[5,2,6,1,3,7,8,4]=>[1,2,4,1]=>11010001=>4 [5,4,8,7,2,1,6,3]=>[4,5,1,2,7,8,3,6]=>[2,4,2]=>10100010=>5 [7,5,4,8,2,1,6,3]=>[2,4,5,1,7,8,3,6]=>[3,3,2]=>10010010=>5 [5,7,3,2,6,1,8,4]=>[4,2,6,7,3,8,1,5]=>[1,3,2,2]=>11001010=>5 [5,7,3,2,6,4,1,8]=>[4,2,6,7,3,5,8,1]=>[1,3,3,1]=>11001001=>4 [6,4,2,7,1,8,5,3]=>[3,5,7,2,8,1,4,6]=>[3,2,3]=>10010100=>5 [6,2,7,5,1,8,4,3]=>[3,7,2,4,8,1,5,6]=>[2,3,3]=>10100100=>5 [2,7,5,1,8,6,4,3]=>[7,2,4,8,1,3,5,6]=>[1,3,4]=>11001000=>3 [2,7,5,3,1,8,6,4]=>[7,2,4,6,8,1,3,5]=>[1,4,3]=>11000100=>3 [2,8,6,5,3,1,7,4]=>[7,1,3,4,6,8,2,5]=>[1,5,2]=>11000010=>3 [3,7,5,4,2,6,1,8]=>[6,2,4,5,7,3,8,1]=>[1,4,2,1]=>11000101=>4 [7,5,2,8,4,3,1,6]=>[2,4,7,1,5,6,8,3]=>[3,4,1]=>10010001=>4 [5,2,8,7,4,3,1,6]=>[4,7,1,2,5,6,8,3]=>[2,5,1]=>10100001=>4 [4,2,7,3,1,8,6,5]=>[5,7,2,6,8,1,3,4]=>[2,3,3]=>10100100=>5 [7,3,2,4,1,8,6,5]=>[2,6,7,5,8,1,3,4]=>[3,2,3]=>10010100=>5 [5,3,2,8,7,4,1,6]=>[4,6,7,1,2,5,8,3]=>[3,4,1]=>10010001=>4 [8,4,3,2,7,5,1,6]=>[1,5,6,7,2,4,8,3]=>[4,3,1]=>10001001=>4 [4,3,7,5,8,2,1,6]=>[5,6,2,4,1,7,8,3]=>[2,2,3,1]=>10101001=>6 [4,3,7,5,2,6,1,8]=>[5,6,2,4,7,3,8,1]=>[2,3,2,1]=>10100101=>6 [4,5,7,3,2,6,1,8]=>[5,4,2,6,7,3,8,1]=>[1,1,3,2,1]=>11100101=>4 [4,5,7,3,8,2,1,6]=>[5,4,2,6,1,7,8,3]=>[1,1,2,3,1]=>11101001=>4 [8,4,5,3,7,2,1,6]=>[1,5,4,6,2,7,8,3]=>[2,2,3,1]=>10101001=>6 [4,3,5,8,7,2,1,6]=>[5,6,4,1,2,7,8,3]=>[2,1,4,1]=>10110001=>4 [3,5,4,8,7,2,1,6]=>[6,4,5,1,2,7,8,3]=>[1,2,4,1]=>11010001=>4 [3,6,4,8,2,1,7,5]=>[6,3,5,1,7,8,2,4]=>[1,2,3,2]=>11010010=>5 [3,4,2,7,1,8,6,5]=>[6,5,7,2,8,1,3,4]=>[1,2,2,3]=>11010100=>5 [3,4,2,7,5,1,8,6]=>[6,5,7,2,4,8,1,3]=>[1,2,3,2]=>11010010=>5 [3,4,2,8,6,5,1,7]=>[6,5,7,1,3,4,8,2]=>[1,2,4,1]=>11010001=>4 [4,3,5,2,8,6,1,7]=>[5,6,4,7,1,3,8,2]=>[2,2,3,1]=>10101001=>6 [4,5,3,6,8,2,1,7]=>[5,4,6,3,1,7,8,2]=>[1,2,1,3,1]=>11011001=>4 [1,2,8,6,4,5,7,3]=>[8,7,1,3,5,4,2,6]=>[1,1,3,1,2]=>11100110=>3 [1,8,5,3,4,6,7,2]=>[8,1,4,6,5,3,2,7]=>[1,3,1,1,2]=>11001110=>3 [9,3,2,4,5,6,7,8,1]=>[1,7,8,6,5,4,3,2,9]=>[3,1,1,1,1,2]=>100111110=>3 [7,8,4,1,6,3,5,2]=>[2,1,5,8,3,6,4,7]=>[1,3,2,2]=>11001010=>5 [8,7,5,6,1,3,4,2]=>[1,2,4,3,8,6,5,7]=>[3,2,1,2]=>10010110=>5 [3,2,6,4,1,8,5,7]=>[6,7,3,5,8,1,4,2]=>[2,3,2,1]=>10100101=>6 [2,8,6,5,3,1,4,7]=>[7,1,3,4,6,8,5,2]=>[1,5,1,1]=>11000011=>2 [5,4,8,6,2,3,1,7]=>[4,5,1,3,7,6,8,2]=>[2,3,2,1]=>10100101=>6 [4,8,7,5,2,3,1,6]=>[5,1,2,4,7,6,8,3]=>[1,4,2,1]=>11000101=>4 [5,2,4,7,6,8,3,1]=>[4,7,5,2,3,1,6,8]=>[2,1,2,3]=>10110100=>5 [2,5,3,7,6,8,4,1]=>[7,4,6,2,3,1,5,8]=>[1,2,2,3]=>11010100=>5 [4,1,2,8,6,5,3,7]=>[5,8,7,1,3,4,6,2]=>[2,1,4,1]=>10110001=>4 [8,5,1,3,2,6,4,7]=>[1,4,8,6,7,3,5,2]=>[3,2,2,1]=>10010101=>6 [4,6,1,8,5,2,3,7]=>[5,3,8,1,4,7,6,2]=>[1,2,3,1,1]=>11010011=>4 [3,4,2,8,7,5,1,6]=>[6,5,7,1,2,4,8,3]=>[1,2,4,1]=>11010001=>4 [8,5,7,6,3,2,4,1]=>[1,4,2,3,6,7,5,8]=>[2,4,2]=>10100010=>5 [6,4,1,8,7,3,2,5]=>[3,5,8,1,2,6,7,4]=>[3,4,1]=>10010001=>4 [1,8,5,4,2,7,3,6]=>[8,1,4,5,7,2,6,3]=>[1,4,2,1]=>11000101=>4 [3,7,1,2,8,5,4,6]=>[6,2,8,7,1,4,5,3]=>[1,2,1,3,1]=>11011001=>4 [7,4,6,8,3,1,5,2]=>[2,5,3,1,6,8,4,7]=>[2,1,3,2]=>10110010=>5 [3,7,6,1,5,8,4,2]=>[6,2,3,8,4,1,5,7]=>[1,3,1,3]=>11001100=>3 [3,6,5,8,2,7,4,1]=>[6,3,4,1,7,2,5,8]=>[1,2,2,3]=>11010100=>5 [8,3,2,7,4,6,5,1]=>[1,6,7,2,5,3,4,8]=>[3,2,3]=>10010100=>5 [7,5,8,4,1,3,6,2]=>[2,4,1,5,8,6,3,7]=>[2,3,1,2]=>10100110=>5 [7,1,6,2,3,8,4,5]=>[2,8,3,7,6,1,5,4]=>[2,2,1,2,1]=>10101101=>6 [6,4,7,1,3,2,8,5]=>[3,5,2,8,6,7,1,4]=>[2,2,2,2]=>10101010=>7 [8,7,1,6,2,5,3,4]=>[1,2,8,3,7,4,6,5]=>[3,2,2,1]=>10010101=>6 [2,8,7,3,5,1,6,4]=>[7,1,2,6,4,8,3,5]=>[1,3,2,2]=>11001010=>5 [8,7,5,2,3,6,1,4]=>[1,2,4,7,6,3,8,5]=>[4,1,2,1]=>10001101=>4 [3,1,7,4,8,6,2,5]=>[6,8,2,5,1,3,7,4]=>[2,2,3,1]=>10101001=>6 [3,8,5,1,4,7,2,6]=>[6,1,4,8,5,2,7,3]=>[1,3,1,2,1]=>11001101=>4 [7,2,5,4,1,3,8,6]=>[2,7,4,5,8,6,1,3]=>[2,3,1,2]=>10100110=>5 [6,4,1,8,7,2,3,5]=>[3,5,8,1,2,7,6,4]=>[3,3,1,1]=>10010011=>4 [8,7,1,6,3,2,4,5]=>[1,2,8,3,6,7,5,4]=>[3,3,1,1]=>10010011=>4 [7,3,2,5,8,4,1,6]=>[2,6,7,4,1,5,8,3]=>[3,1,3,1]=>10011001=>4 [4,7,2,3,8,1,6,5]=>[5,2,7,6,1,8,3,4]=>[1,2,1,2,2]=>11011010=>5 [8,2,3,1,6,7,5,4]=>[1,7,6,8,3,2,4,5]=>[2,2,1,3]=>10101100=>5 [7,5,8,1,6,3,2,4]=>[2,4,1,8,3,6,7,5]=>[2,2,3,1]=>10101001=>6 [3,7,2,5,6,4,8,1]=>[6,2,7,4,3,5,1,8]=>[1,2,1,2,2]=>11011010=>5 [6,7,2,4,1,5,8,3]=>[3,2,7,5,8,4,1,6]=>[1,2,2,1,2]=>11010110=>5 [5,1,2,8,4,7,6,3]=>[4,8,7,1,5,2,3,6]=>[2,1,2,3]=>10110100=>5 [7,1,4,8,5,6,2,3]=>[2,8,5,1,4,3,7,6]=>[2,1,2,2,1]=>10110101=>6 [5,2,6,8,4,7,1,3]=>[4,7,3,1,5,2,8,6]=>[2,1,2,2,1]=>10110101=>6 [3,6,5,8,2,7,1,4]=>[6,3,4,1,7,2,8,5]=>[1,2,2,2,1]=>11010101=>6 [7,1,6,3,8,2,5,4]=>[2,8,3,6,1,7,4,5]=>[2,2,2,2]=>10101010=>7 [8,1,5,6,4,3,7,2]=>[1,8,4,3,5,6,2,7]=>[2,1,3,2]=>10110010=>5 [7,3,8,1,4,6,5,2]=>[2,6,1,8,5,3,4,7]=>[2,2,1,3]=>10101100=>5 [2,3,1,9,4,5,6,7,8]=>[8,7,9,1,6,5,4,3,2]=>[1,2,2,1,1,1,1]=>110101111=>4 [4,5,1,2,3,6,7,8,9]=>[6,5,9,8,7,4,3,2,1]=>[1,2,1,1,1,1,1,1]=>110111111=>2 [4,9,1,2,3,5,6,7,8]=>[6,1,9,8,7,5,4,3,2]=>[1,2,1,1,1,1,1,1]=>110111111=>2 [3,9,1,2,4,5,6,7,8]=>[7,1,9,8,6,5,4,3,2]=>[1,2,1,1,1,1,1,1]=>110111111=>2 [6,8,1,9,2,3,4,5,7]=>[4,2,9,1,8,7,6,5,3]=>[1,2,2,1,1,1,1]=>110101111=>4 [4,8,1,2,3,9,5,6,7]=>[6,2,9,8,7,1,5,4,3]=>[1,2,1,1,2,1,1]=>110111011=>4 [1,8,2,3,4,5,6,7,9]=>[9,2,8,7,6,5,4,3,1]=>[1,2,1,1,1,1,1,1]=>110111111=>2 [7,4,6,1,3,2,5,8]=>[2,5,3,8,6,7,4,1]=>[2,2,2,1,1]=>10101011=>6 [1,4,5,8,6,3,2,7]=>[8,5,4,1,3,6,7,2]=>[1,1,1,4,1]=>11110001=>2 [8,4,5,7,2,6,1,3]=>[1,5,4,2,7,3,8,6]=>[2,1,2,2,1]=>10110101=>6 [7,4,1,5,6,3,2,8]=>[2,5,8,4,3,6,7,1]=>[3,1,3,1]=>10011001=>4 [3,7,4,5,6,2,1,8]=>[6,2,5,4,3,7,8,1]=>[1,2,1,3,1]=>11011001=>4 [4,5,2,6,7,3,1,8]=>[5,4,7,3,2,6,8,1]=>[1,2,1,3,1]=>11011001=>4 [7,1,2,5,6,3,4,8]=>[2,8,7,4,3,6,5,1]=>[2,1,1,2,1,1]=>10111011=>4 [8,1,7,5,3,6,2,4]=>[1,8,2,4,6,3,7,5]=>[2,3,2,1]=>10100101=>6 [1,8,6,3,5,7,2,4]=>[8,1,3,6,4,2,7,5]=>[1,3,1,2,1]=>11001101=>4 [5,8,6,3,1,7,2,4]=>[4,1,3,6,8,2,7,5]=>[1,4,2,1]=>11000101=>4 [4,8,6,3,5,7,2,1]=>[5,1,3,6,4,2,7,8]=>[1,3,1,3]=>11001100=>3 [2,1,6,5,8,3,4,7]=>[7,8,3,4,1,6,5,2]=>[2,2,2,1,1]=>10101011=>6 [5,2,6,3,1,7,8,4]=>[4,7,3,6,8,2,1,5]=>[2,3,1,2]=>10100110=>5 [6,2,5,7,3,4,8,1]=>[3,7,4,2,6,5,1,8]=>[2,1,2,1,2]=>10110110=>5 [7,2,5,6,3,1,8,4]=>[2,7,4,3,6,8,1,5]=>[2,1,3,2]=>10110010=>5 [4,8,6,5,1,7,2,3]=>[5,1,3,4,8,2,7,6]=>[1,4,2,1]=>11000101=>4 [4,3,5,1,6,7,8,2]=>[5,6,4,8,3,2,1,7]=>[2,2,1,1,2]=>10101110=>5 [5,1,4,3,6,7,8,2]=>[4,8,5,6,3,2,1,7]=>[2,2,1,1,2]=>10101110=>5 [4,6,5,2,3,7,8,1]=>[5,3,4,7,6,2,1,8]=>[1,3,1,1,2]=>11001110=>3 [3,6,7,5,1,2,8,4]=>[6,3,2,4,8,7,1,5]=>[1,1,3,1,2]=>11100110=>3 [1,7,6,8,5,2,4,3]=>[8,2,3,1,4,7,5,6]=>[1,2,3,2]=>11010010=>5 [5,7,6,8,1,2,4,3]=>[4,2,3,1,8,7,5,6]=>[1,2,2,1,2]=>11010110=>5 [3,1,5,8,7,6,4,2]=>[6,8,4,1,2,3,5,7]=>[2,1,5]=>10110000=>3 [3,4,6,1,5,2,8,7]=>[6,5,3,8,4,7,1,2]=>[1,1,2,2,2]=>11101010=>5 [5,6,3,7,1,4,8,2]=>[4,3,6,2,8,5,1,7]=>[1,2,2,1,2]=>11010110=>5 [3,1,2,5,8,6,4,7]=>[6,8,7,4,1,3,5,2]=>[2,1,1,3,1]=>10111001=>4 [5,3,2,1,8,6,4,7]=>[4,6,7,8,1,3,5,2]=>[4,3,1]=>10001001=>4 [3,8,7,4,5,1,2,6]=>[6,1,2,5,4,8,7,3]=>[1,3,2,1,1]=>11001011=>4 [7,5,1,4,2,3,8,6]=>[2,4,8,5,7,6,1,3]=>[3,2,1,2]=>10010110=>5 [2,6,3,4,1,7,8,5]=>[7,3,6,5,8,2,1,4]=>[1,2,2,1,2]=>11010110=>5 [3,8,6,4,5,7,2,1]=>[6,1,3,5,4,2,7,8]=>[1,3,1,3]=>11001100=>3 [9,8,7,5,6,4,3,2,1]=>[1,2,3,5,4,6,7,8,9]=>[4,5]=>100010000=>3 [2,1,9,8,6,7,5,4,3]=>[8,9,1,2,4,3,5,6,7]=>[2,3,4]=>101001000=>5 [1,8,7,6,5,4,3,2,9]=>[9,2,3,4,5,6,7,8,1]=>[1,7,1]=>110000001=>2 [2,1,8,7,6,5,4,3,9]=>[8,9,2,3,4,5,6,7,1]=>[2,6,1]=>101000001=>4 [2,8,9,7,6,5,4,3,1]=>[8,2,1,3,4,5,6,7,9]=>[1,1,7]=>111000000=>1 [7,8,6,1,4,5,2,3]=>[2,1,3,8,5,4,7,6]=>[1,3,1,2,1]=>11001101=>4 [7,5,1,4,6,2,8,3]=>[2,4,8,5,3,7,1,6]=>[3,1,2,2]=>10011010=>5 [7,5,8,1,4,6,2,3]=>[2,4,1,8,5,3,7,6]=>[2,2,1,2,1]=>10101101=>6 [7,5,1,3,6,8,2,4]=>[2,4,8,6,3,1,7,5]=>[3,1,1,2,1]=>10011101=>4 [6,5,3,1,7,8,2,4]=>[3,4,6,8,2,1,7,5]=>[4,1,2,1]=>10001101=>4 [6,5,8,4,1,7,2,3]=>[3,4,1,5,8,2,7,6]=>[2,3,2,1]=>10100101=>6 [1,8,5,4,7,6,2,3]=>[8,1,4,5,2,3,7,6]=>[1,3,3,1]=>11001001=>4 [1,8,5,4,6,7,2,3]=>[8,1,4,5,3,2,7,6]=>[1,3,1,2,1]=>11001101=>4 [6,4,3,7,8,2,1,5]=>[3,5,6,2,1,7,8,4]=>[3,1,3,1]=>10011001=>4 [6,5,8,3,7,2,1,4]=>[3,4,1,6,2,7,8,5]=>[2,2,3,1]=>10101001=>6 [6,5,3,7,2,1,8,4]=>[3,4,6,2,7,8,1,5]=>[3,3,2]=>10010010=>5 [7,8,5,3,6,2,1,4]=>[2,1,4,6,3,7,8,5]=>[1,3,3,1]=>11001001=>4 [7,8,5,3,6,2,4,1]=>[2,1,4,6,3,7,5,8]=>[1,3,2,2]=>11001010=>5 [6,4,8,3,2,7,5,1]=>[3,5,1,6,7,2,4,8]=>[2,3,3]=>10100100=>5 [7,8,4,3,2,6,5,1]=>[2,1,5,6,7,3,4,8]=>[1,4,3]=>11000100=>3 [1,8,4,3,2,6,5,7]=>[8,1,5,6,7,3,4,2]=>[1,4,2,1]=>11000101=>4 [1,8,4,3,2,6,7,5]=>[8,1,5,6,7,3,2,4]=>[1,4,1,2]=>11000110=>3 [7,8,4,3,2,6,1,5]=>[2,1,5,6,7,3,8,4]=>[1,4,2,1]=>11000101=>4 [5,4,3,8,2,1,7,6]=>[4,5,6,1,7,8,2,3]=>[3,3,2]=>10010010=>5 [6,4,8,3,2,1,7,5]=>[3,5,1,6,7,8,2,4]=>[2,4,2]=>10100010=>5 [1,8,4,3,2,7,6,5]=>[8,1,5,6,7,2,3,4]=>[1,4,3]=>11000100=>3 [6,5,3,1,2,8,7,4]=>[3,4,6,8,7,1,2,5]=>[4,1,3]=>10001100=>3 [7,5,8,1,3,2,6,4]=>[2,4,1,8,6,7,3,5]=>[2,2,2,2]=>10101010=>7 [7,6,1,3,2,8,5,4]=>[2,3,8,6,7,1,4,5]=>[3,2,3]=>10010100=>5 [1,8,6,7,3,2,5,4]=>[8,1,3,2,6,7,4,5]=>[1,2,3,2]=>11010010=>5 [1,8,6,7,3,2,4,5]=>[8,1,3,2,6,7,5,4]=>[1,2,3,1,1]=>11010011=>4 [7,6,1,3,2,8,4,5]=>[2,3,8,6,7,1,5,4]=>[3,2,2,1]=>10010101=>6 [7,8,6,1,3,2,4,5]=>[2,1,3,8,6,7,5,4]=>[1,3,2,1,1]=>11001011=>4 [6,5,8,3,1,2,4,7]=>[3,4,1,6,8,7,5,2]=>[2,3,1,1,1]=>10100111=>4 [1,8,4,3,2,7,5,6]=>[8,1,5,6,7,2,4,3]=>[1,4,2,1]=>11000101=>4 [5,4,3,8,2,1,6,7]=>[4,5,6,1,7,8,3,2]=>[3,3,1,1]=>10010011=>4 [5,4,3,8,2,6,1,7]=>[4,5,6,1,7,3,8,2]=>[3,2,2,1]=>10010101=>6 [6,4,8,3,2,5,1,7]=>[3,5,1,6,7,4,8,2]=>[2,3,2,1]=>10100101=>6 [1,8,4,3,2,5,7,6]=>[8,1,5,6,7,4,2,3]=>[1,4,1,2]=>11000110=>3 [6,4,8,3,2,5,7,1]=>[3,5,1,6,7,4,2,8]=>[2,3,1,2]=>10100110=>5 [5,4,3,8,2,6,7,1]=>[4,5,6,1,7,3,2,8]=>[3,2,1,2]=>10010110=>5 [6,4,2,3,5,1,8,7]=>[3,5,7,6,4,8,1,2]=>[3,1,2,2]=>10011010=>5 [5,2,3,6,1,4,8,7]=>[4,7,6,3,8,5,1,2]=>[2,1,2,1,2]=>10110110=>5 [5,2,3,7,4,8,1,6]=>[4,7,6,2,5,1,8,3]=>[2,1,2,2,1]=>10110101=>6 [7,2,3,4,5,8,1,6]=>[2,7,6,5,4,1,8,3]=>[2,1,1,1,2,1]=>10111101=>4 [7,2,8,1,5,3,4,6]=>[2,7,1,8,4,6,5,3]=>[2,2,2,1,1]=>10101011=>6 [2,1,8,6,4,5,7,3]=>[7,8,1,3,5,4,2,6]=>[2,3,1,2]=>10100110=>5 [4,8,2,5,7,3,1,6]=>[5,1,7,4,2,6,8,3]=>[1,2,1,3,1]=>11011001=>4 [5,8,2,3,4,7,1,6]=>[4,1,7,6,5,2,8,3]=>[1,2,1,1,2,1]=>11011101=>4 [6,3,4,7,8,2,1,5]=>[3,6,5,2,1,7,8,4]=>[2,1,1,3,1]=>10111001=>4 [3,8,5,1,4,7,6,2]=>[6,1,4,8,5,2,3,7]=>[1,3,1,3]=>11001100=>3 [4,8,5,1,3,6,7,2]=>[5,1,4,8,6,3,2,7]=>[1,3,1,1,2]=>11001110=>3 [4,6,8,5,2,7,3,1]=>[5,3,1,4,7,2,6,8]=>[1,1,3,3]=>11100100=>3 [8,5,4,7,1,3,6,2]=>[1,4,5,2,8,6,3,7]=>[3,2,1,2]=>10010110=>5 [7,3,6,2,8,1,5,4]=>[2,6,3,7,1,8,4,5]=>[2,2,2,2]=>10101010=>7 [8,1,5,2,3,7,6,4]=>[1,8,4,7,6,2,3,5]=>[2,2,1,3]=>10101100=>5 [6,4,2,3,7,8,5,1]=>[3,5,7,6,2,1,4,8]=>[3,1,1,3]=>10011100=>3 [8,4,2,3,6,7,1,5]=>[1,5,7,6,3,2,8,4]=>[3,1,1,2,1]=>10011101=>4 [4,5,8,3,7,2,1,6]=>[5,4,1,6,2,7,8,3]=>[1,1,2,3,1]=>11101001=>4 [3,5,1,8,4,6,2,7]=>[6,4,8,1,5,3,7,2]=>[1,2,2,2,1]=>11010101=>6 [4,2,1,5,6,8,3,7]=>[5,7,8,4,3,1,6,2]=>[3,1,1,2,1]=>10011101=>4 [4,1,2,6,5,8,3,7]=>[5,8,7,3,4,1,6,2]=>[2,1,2,2,1]=>10110101=>6 [4,1,8,3,2,6,7,5]=>[5,8,1,6,7,3,2,4]=>[2,3,1,2]=>10100110=>5 [4,2,7,5,8,1,3,6]=>[5,7,2,4,1,8,6,3]=>[2,2,2,1,1]=>10101011=>6 [4,6,2,7,8,3,1,5]=>[5,3,7,2,1,6,8,4]=>[1,2,1,3,1]=>11011001=>4 [4,6,1,3,8,2,5,7]=>[5,3,8,6,1,7,4,2]=>[1,2,1,2,1,1]=>11011011=>4 [4,3,6,2,1,8,7,5]=>[5,6,3,7,8,1,2,4]=>[2,3,3]=>10100100=>5 [3,7,4,5,1,6,2,8]=>[6,2,5,4,8,3,7,1]=>[1,2,2,2,1]=>11010101=>6 [3,6,4,5,8,2,1,7]=>[6,3,5,4,1,7,8,2]=>[1,2,1,3,1]=>11011001=>4 [6,1,4,5,2,8,7,3]=>[3,8,5,4,7,1,2,6]=>[2,1,2,3]=>10110100=>5 [7,2,4,5,1,6,3,8]=>[2,7,5,4,8,3,6,1]=>[2,1,2,2,1]=>10110101=>6 [7,5,4,1,6,3,2,8]=>[2,4,5,8,3,6,7,1]=>[4,3,1]=>10001001=>4 [1,5,4,8,6,3,2,7]=>[8,4,5,1,3,6,7,2]=>[1,2,4,1]=>11010001=>4 [1,8,7,5,3,6,4,2]=>[8,1,2,4,6,3,5,7]=>[1,4,3]=>11000100=>3 [8,3,7,4,1,6,2,5]=>[1,6,2,5,8,3,7,4]=>[2,3,2,1]=>10100101=>6 [8,5,4,1,6,3,2,7]=>[1,4,5,8,3,6,7,2]=>[4,3,1]=>10001001=>4 [1,7,4,2,6,5,3,8]=>[8,2,5,7,3,4,6,1]=>[1,3,3,1]=>11001001=>4 [8,2,1,5,6,7,3,4]=>[1,7,8,4,3,2,6,5]=>[3,1,1,2,1]=>10011101=>4 [6,3,1,8,4,7,2,5]=>[3,6,8,1,5,2,7,4]=>[3,2,2,1]=>10010101=>6 [7,1,4,8,6,3,2,5]=>[2,8,5,1,3,6,7,4]=>[2,1,4,1]=>10110001=>4 [4,1,8,5,6,7,2,3]=>[5,8,1,4,3,2,7,6]=>[2,2,1,2,1]=>10101101=>6 [5,7,4,8,6,2,1,3]=>[4,2,5,1,3,7,8,6]=>[1,2,4,1]=>11010001=>4 [5,3,6,8,2,7,1,4]=>[4,6,3,1,7,2,8,5]=>[2,1,2,2,1]=>10110101=>6 [6,3,7,4,8,2,1,5]=>[3,6,2,5,1,7,8,4]=>[2,2,3,1]=>10101001=>6 [5,3,6,1,4,7,2,8]=>[4,6,3,8,5,2,7,1]=>[2,2,1,2,1]=>10101101=>6 [4,3,6,8,2,7,1,5]=>[5,6,3,1,7,2,8,4]=>[2,1,2,2,1]=>10110101=>6 [5,3,7,4,8,2,1,6]=>[4,6,2,5,1,7,8,3]=>[2,2,3,1]=>10101001=>6 [5,3,8,4,1,6,2,7]=>[4,6,1,5,8,3,7,2]=>[2,3,2,1]=>10100101=>6 [5,3,8,1,4,7,2,6]=>[4,6,1,8,5,2,7,3]=>[2,2,1,2,1]=>10101101=>6 [5,8,4,1,6,3,2,7]=>[4,1,5,8,3,6,7,2]=>[1,3,3,1]=>11001001=>4 [7,3,8,4,1,6,2,5]=>[2,6,1,5,8,3,7,4]=>[2,3,2,1]=>10100101=>6 [1,5,8,3,6,7,4,2]=>[8,4,1,6,3,2,5,7]=>[1,1,2,1,3]=>11101100=>3 [1,8,2,5,6,7,3,4]=>[8,1,7,4,3,2,6,5]=>[1,2,1,1,2,1]=>11011101=>4 [7,8,4,1,6,5,2,3]=>[2,1,5,8,3,4,7,6]=>[1,3,3,1]=>11001001=>4 [6,3,8,1,5,7,2,4]=>[3,6,1,8,4,2,7,5]=>[2,2,1,2,1]=>10101101=>6 [8,3,1,2,5,7,4,6]=>[1,6,8,7,4,2,5,3]=>[3,1,1,2,1]=>10011101=>4 [8,1,4,2,6,5,3,7]=>[1,8,5,7,3,4,6,2]=>[2,2,3,1]=>10101001=>6 [5,1,3,7,4,8,2,6]=>[4,8,6,2,5,1,7,3]=>[2,1,2,2,1]=>10110101=>6 [5,1,3,4,7,8,2,6]=>[4,8,6,5,2,1,7,3]=>[2,1,1,1,2,1]=>10111101=>4 [2,5,8,7,4,3,6,1]=>[7,4,1,2,5,6,3,8]=>[1,1,4,2]=>11100010=>3 [5,4,1,8,3,2,7,6]=>[4,5,8,1,6,7,2,3]=>[3,3,2]=>10010010=>5 [5,1,4,3,8,7,2,6]=>[4,8,5,6,1,2,7,3]=>[2,2,3,1]=>10101001=>6 [5,1,7,8,3,4,2,6]=>[4,8,2,1,6,5,7,3]=>[2,1,2,2,1]=>10110101=>6 [5,4,1,3,8,2,7,6]=>[4,5,8,6,1,7,2,3]=>[3,1,2,2]=>10011010=>5 [5,2,1,4,8,3,6,7]=>[4,7,8,5,1,6,3,2]=>[3,1,2,1,1]=>10011011=>4 [5,8,1,2,3,6,4,7]=>[4,1,8,7,6,3,5,2]=>[1,2,1,1,2,1]=>11011101=>4 [5,6,8,2,3,4,1,7]=>[4,3,1,7,6,5,8,2]=>[1,1,2,1,2,1]=>11101101=>4 [2,3,5,7,4,6,8,1]=>[7,6,4,2,5,3,1,8]=>[1,1,1,2,1,2]=>11110110=>3 [3,7,4,5,8,1,2,6]=>[6,2,5,4,1,8,7,3]=>[1,2,1,2,1,1]=>11011011=>4 [3,7,8,1,4,5,2,6]=>[6,2,1,8,5,4,7,3]=>[1,1,2,1,2,1]=>11101101=>4 [4,8,7,1,5,3,2,6]=>[5,1,2,8,4,6,7,3]=>[1,3,3,1]=>11001001=>4 [5,8,2,1,6,3,4,7]=>[4,1,7,8,3,6,5,2]=>[1,3,2,1,1]=>11001011=>4 [3,7,1,8,5,4,2,6]=>[6,2,8,1,4,5,7,3]=>[1,2,4,1]=>11010001=>4 [4,8,1,3,7,5,2,6]=>[5,1,8,6,2,4,7,3]=>[1,2,1,3,1]=>11011001=>4 [5,4,2,1,3,6,8,7]=>[4,5,7,8,6,3,1,2]=>[4,1,1,2]=>10001110=>3 [2,5,3,8,4,6,7,1]=>[7,4,6,1,5,3,2,8]=>[1,2,2,1,2]=>11010110=>5 [4,8,3,1,5,7,2,6]=>[5,1,6,8,4,2,7,3]=>[1,3,1,2,1]=>11001101=>4 [5,3,1,4,7,2,8,6]=>[4,6,8,5,2,7,1,3]=>[3,1,2,2]=>10011010=>5 [5,3,1,7,4,2,8,6]=>[4,6,8,2,5,7,1,3]=>[3,3,2]=>10010010=>5 [4,3,8,5,1,2,7,6]=>[5,6,1,4,8,7,2,3]=>[2,3,1,2]=>10100110=>5 [4,3,5,8,2,1,7,6]=>[5,6,4,1,7,8,2,3]=>[2,1,3,2]=>10110010=>5 [4,8,5,3,7,1,2,6]=>[5,1,4,6,2,8,7,3]=>[1,3,2,1,1]=>11001011=>4 [4,8,5,7,3,1,2,6]=>[5,1,4,2,6,8,7,3]=>[1,2,3,1,1]=>11010011=>4 [4,8,7,5,1,3,2,6]=>[5,1,2,4,8,6,7,3]=>[1,4,2,1]=>11000101=>4 [4,2,8,5,1,3,6,7]=>[5,7,1,4,8,6,3,2]=>[2,3,1,1,1]=>10100111=>4 [3,7,8,4,1,5,2,6]=>[6,2,1,5,8,4,7,3]=>[1,1,3,2,1]=>11100101=>4 [3,4,7,5,8,2,1,6]=>[6,5,2,4,1,7,8,3]=>[1,1,2,3,1]=>11101001=>4 [3,4,5,7,2,8,1,6]=>[6,5,4,2,7,1,8,3]=>[1,1,1,2,2,1]=>11110101=>4 [1,3,6,8,7,2,4,5]=>[8,6,3,1,2,7,5,4]=>[1,1,1,3,1,1]=>11110011=>2 [1,6,3,8,2,5,4,7]=>[8,3,6,1,7,4,5,2]=>[1,2,2,2,1]=>11010101=>6 [1,8,5,7,2,4,3,6]=>[8,1,4,2,7,5,6,3]=>[1,2,2,2,1]=>11010101=>6 [1,8,5,4,2,3,6,7]=>[8,1,4,5,7,6,3,2]=>[1,4,1,1,1]=>11000111=>2 [1,3,6,8,5,4,2,7]=>[8,6,3,1,4,5,7,2]=>[1,1,1,4,1]=>11110001=>2 [1,8,2,6,4,5,3,7]=>[8,1,7,3,5,4,6,2]=>[1,2,2,2,1]=>11010101=>6 [1,5,2,7,4,8,3,6]=>[8,4,7,2,5,1,6,3]=>[1,2,2,2,1]=>11010101=>6 [1,4,2,7,5,8,3,6]=>[8,5,7,2,4,1,6,3]=>[1,2,2,2,1]=>11010101=>6 [1,8,2,3,6,7,5,4]=>[8,1,7,6,3,2,4,5]=>[1,2,1,1,3]=>11011100=>3 [1,3,6,8,2,7,5,4]=>[8,6,3,1,7,2,4,5]=>[1,1,1,2,3]=>11110100=>3 [1,6,5,4,3,8,2,7]=>[8,3,4,5,6,1,7,2]=>[1,4,2,1]=>11000101=>4 [1,8,3,4,5,6,2,7]=>[8,1,6,5,4,3,7,2]=>[1,2,1,1,2,1]=>11011101=>4 [1,8,3,6,2,4,5,7]=>[8,1,6,3,7,5,4,2]=>[1,2,2,1,1,1]=>11010111=>4 [1,8,3,6,2,5,4,7]=>[8,1,6,3,7,4,5,2]=>[1,2,2,2,1]=>11010101=>6 [1,5,4,8,3,6,2,7]=>[8,4,5,1,6,3,7,2]=>[1,2,2,2,1]=>11010101=>6 [1,4,5,8,3,6,2,7]=>[8,5,4,1,6,3,7,2]=>[1,1,1,2,2,1]=>11110101=>4 [1,3,6,8,4,5,2,7]=>[8,6,3,1,5,4,7,2]=>[1,1,1,2,2,1]=>11110101=>4 [1,2,7,8,4,5,3,6]=>[8,7,2,1,5,4,6,3]=>[1,1,1,2,2,1]=>11110101=>4 [7,2,8,4,3,6,5,1]=>[2,7,1,5,6,3,4,8]=>[2,3,3]=>10100100=>5 [7,2,8,5,6,3,4,1]=>[2,7,1,4,3,6,5,8]=>[2,2,2,2]=>10101010=>7 [7,6,3,8,5,4,2,1]=>[2,3,6,1,4,5,7,8]=>[3,5]=>10010000=>3 [6,2,8,7,5,4,1,3]=>[3,7,1,2,4,5,8,6]=>[2,5,1]=>10100001=>4 [6,2,8,4,3,7,1,5]=>[3,7,1,5,6,2,8,4]=>[2,3,2,1]=>10100101=>6 [5,2,8,4,3,1,7,6]=>[4,7,1,5,6,8,2,3]=>[2,4,2]=>10100010=>5 [1,4,7,3,2,6,8,5]=>[8,5,2,6,7,3,1,4]=>[1,1,3,1,2]=>11100110=>3 [1,5,7,3,6,2,8,4]=>[8,4,2,6,3,7,1,5]=>[1,1,2,2,2]=>11101010=>5 [3,6,2,7,1,5,4,8]=>[6,3,7,2,8,4,5,1]=>[1,2,2,2,1]=>11010101=>6 [1,2,5,4,8,3,7,6]=>[8,7,4,5,1,6,2,3]=>[1,1,2,2,2]=>11101010=>5 [1,4,3,5,8,2,7,6]=>[8,5,6,4,1,7,2,3]=>[1,2,1,2,2]=>11011010=>5 [1,4,3,6,8,7,2,5]=>[8,5,6,3,1,2,7,4]=>[1,2,1,3,1]=>11011001=>4 [1,5,3,7,6,8,2,4]=>[8,4,6,2,3,1,7,5]=>[1,2,2,2,1]=>11010101=>6 [1,6,4,5,7,8,2,3]=>[8,3,5,4,2,1,7,6]=>[1,2,1,1,2,1]=>11011101=>4 [4,2,6,5,7,8,1,3]=>[5,7,3,4,2,1,8,6]=>[2,2,1,2,1]=>10101101=>6 [3,2,5,7,6,8,1,4]=>[6,7,4,2,3,1,8,5]=>[2,1,2,2,1]=>10110101=>6 [3,2,4,6,8,7,1,5]=>[6,7,5,3,1,2,8,4]=>[2,1,1,3,1]=>10111001=>4 [6,3,2,7,4,8,5,1]=>[3,6,7,2,5,1,4,8]=>[3,2,3]=>10010100=>5 [5,3,2,6,8,4,7,1]=>[4,6,7,3,1,5,2,8]=>[3,1,2,2]=>10011010=>5 [4,1,8,7,5,2,6,3]=>[5,8,1,2,4,7,3,6]=>[2,4,2]=>10100010=>5 [3,1,8,6,4,7,2,5]=>[6,8,1,3,5,2,7,4]=>[2,3,2,1]=>10100101=>6 [3,1,6,8,5,4,2,7]=>[6,8,3,1,4,5,7,2]=>[2,1,4,1]=>10110001=>4 [5,3,2,8,7,6,4,1]=>[4,6,7,1,2,3,5,8]=>[3,5]=>10010000=>3 [2,4,8,1,7,6,3,5]=>[7,5,1,8,2,3,6,4]=>[1,1,2,3,1]=>11101001=>4 [3,8,1,7,6,5,2,4]=>[6,1,8,2,3,4,7,5]=>[1,2,4,1]=>11010001=>4 [4,6,1,5,7,3,2,8]=>[5,3,8,4,2,6,7,1]=>[1,2,1,3,1]=>11011001=>4 [4,8,1,5,3,6,2,7]=>[5,1,8,4,6,3,7,2]=>[1,2,2,2,1]=>11010101=>6 [5,8,1,6,4,2,7,3]=>[4,1,8,3,5,7,2,6]=>[1,2,3,2]=>11010010=>5 [5,4,2,6,7,3,1,8]=>[4,5,7,3,2,6,8,1]=>[3,1,3,1]=>10011001=>4 [5,4,2,7,6,3,1,8]=>[4,5,7,2,3,6,8,1]=>[3,4,1]=>10010001=>4 [5,3,8,2,7,6,1,4]=>[4,6,1,7,2,3,8,5]=>[2,2,3,1]=>10101001=>6 [6,5,4,8,3,7,2,1]=>[3,4,5,1,6,2,7,8]=>[3,2,3]=>10010100=>5 [6,3,5,7,2,4,1,8]=>[3,6,4,2,7,5,8,1]=>[2,1,2,2,1]=>10110101=>6 [2,6,8,5,1,4,3,7]=>[7,3,1,4,8,5,6,2]=>[1,1,3,2,1]=>11100101=>4 [4,3,8,7,2,6,5,1]=>[5,6,1,2,7,3,4,8]=>[2,3,3]=>10100100=>5 [4,3,6,8,2,5,7,1]=>[5,6,3,1,7,4,2,8]=>[2,1,2,1,2]=>10110110=>5 [2,6,5,8,1,4,7,3]=>[7,3,4,1,8,5,2,6]=>[1,2,2,1,2]=>11010110=>5 [2,7,5,1,8,4,6,3]=>[7,2,4,8,1,5,3,6]=>[1,3,2,2]=>11001010=>5 [7,8,5,2,1,6,4,3]=>[2,1,4,7,8,3,5,6]=>[1,4,3]=>11000100=>3 [6,7,3,2,8,1,5,4]=>[3,2,6,7,1,8,4,5]=>[1,3,2,2]=>11001010=>5 [7,6,4,8,1,2,5,3]=>[2,3,5,1,8,7,4,6]=>[3,2,1,2]=>10010110=>5 [7,5,4,8,3,2,6,1]=>[2,4,5,1,6,7,3,8]=>[3,3,2]=>10010010=>5 [7,8,4,3,1,6,2,5]=>[2,1,5,6,8,3,7,4]=>[1,4,2,1]=>11000101=>4 [8,7,5,3,6,2,1,4]=>[1,2,4,6,3,7,8,5]=>[4,3,1]=>10001001=>4 [8,6,4,7,3,2,1,5]=>[1,3,5,2,6,7,8,4]=>[3,4,1]=>10010001=>4 [3,8,5,6,2,7,1,4]=>[6,1,4,3,7,2,8,5]=>[1,2,2,2,1]=>11010101=>6 [2,4,5,8,7,3,1,6]=>[7,5,4,1,2,6,8,3]=>[1,1,1,4,1]=>11110001=>2 [2,4,5,8,6,7,1,3]=>[7,5,4,1,3,2,8,6]=>[1,1,1,2,2,1]=>11110101=>4 [4,3,1,5,6,2,8,7]=>[5,6,8,4,3,7,1,2]=>[3,1,2,2]=>10011010=>5 [4,1,5,8,6,7,2,3]=>[5,8,4,1,3,2,7,6]=>[2,1,2,2,1]=>10110101=>6 [4,7,5,6,1,2,8,3]=>[5,2,4,3,8,7,1,6]=>[1,2,2,1,2]=>11010110=>5 [4,3,7,5,6,2,8,1]=>[5,6,2,4,3,7,1,8]=>[2,2,2,2]=>10101010=>7 [4,5,1,8,6,7,3,2]=>[5,4,8,1,3,2,6,7]=>[1,2,2,3]=>11010100=>5 [2,1,5,8,6,7,4,3]=>[7,8,4,1,3,2,5,6]=>[2,1,2,3]=>10110100=>5 [3,4,5,8,7,1,2,6]=>[6,5,4,1,2,8,7,3]=>[1,1,1,3,1,1]=>11110011=>2 [4,7,1,5,6,2,8,3]=>[5,2,8,4,3,7,1,6]=>[1,2,1,2,2]=>11011010=>5 [2,6,4,7,1,3,8,5]=>[7,3,5,2,8,6,1,4]=>[1,2,2,1,2]=>11010110=>5 [5,3,8,6,4,7,2,1]=>[4,6,1,3,5,2,7,8]=>[2,3,3]=>10100100=>5 [6,4,1,5,7,8,3,2]=>[3,5,8,4,2,1,6,7]=>[3,1,1,3]=>10011100=>3 [3,8,4,6,1,7,2,5]=>[6,1,5,3,8,2,7,4]=>[1,2,2,2,1]=>11010101=>6 [3,8,5,6,4,7,2,1]=>[6,1,4,3,5,2,7,8]=>[1,2,2,3]=>11010100=>5 [3,8,6,5,2,7,4,1]=>[6,1,3,4,7,2,5,8]=>[1,4,3]=>11000100=>3 [3,8,7,5,2,1,4,6]=>[6,1,2,4,7,8,5,3]=>[1,5,1,1]=>11000011=>2 [3,8,6,5,1,7,2,4]=>[6,1,3,4,8,2,7,5]=>[1,4,2,1]=>11000101=>4 [6,4,1,7,3,2,8,5]=>[3,5,8,2,6,7,1,4]=>[3,3,2]=>10010010=>5 [5,1,4,6,7,2,8,3]=>[4,8,5,3,2,7,1,6]=>[2,1,1,2,2]=>10111010=>5 [6,5,4,7,1,3,8,2]=>[3,4,5,2,8,6,1,7]=>[3,2,1,2]=>10010110=>5 [2,1,6,5,3,7,8,4]=>[7,8,3,4,6,2,1,5]=>[2,3,1,2]=>10100110=>5 [6,1,4,7,2,3,8,5]=>[3,8,5,2,7,6,1,4]=>[2,1,2,1,2]=>10110110=>5 [2,1,3,4,5,6,7,9,8]=>[8,9,7,6,5,4,3,1,2]=>[2,1,1,1,1,1,2]=>101111110=>3 [2,3,1,4,5,6,7,9,8]=>[8,7,9,6,5,4,3,1,2]=>[1,2,1,1,1,1,2]=>110111110=>3 [1,3,2,4,5,6,7,9,8]=>[9,7,8,6,5,4,3,1,2]=>[1,2,1,1,1,1,2]=>110111110=>3 [1,6,2,5,4,8,3,7]=>[8,3,7,4,5,1,6,2]=>[1,2,2,2,1]=>11010101=>6 [4,1,2,7,5,8,3,6]=>[5,8,7,2,4,1,6,3]=>[2,1,2,2,1]=>10110101=>6 [6,1,3,5,8,2,4,7]=>[3,8,6,4,1,7,5,2]=>[2,1,1,2,1,1]=>10111011=>4 [5,6,4,3,1,8,2,7]=>[4,3,5,6,8,1,7,2]=>[1,4,2,1]=>11000101=>4 [6,2,3,5,8,1,4,7]=>[3,7,6,4,1,8,5,2]=>[2,1,1,2,1,1]=>10111011=>4 [6,7,2,3,8,4,5,1]=>[3,2,7,6,1,5,4,8]=>[1,2,1,2,2]=>11011010=>5 [6,7,2,1,3,8,4,5]=>[3,2,7,8,6,1,5,4]=>[1,3,1,2,1]=>11001101=>4 [5,7,4,1,8,3,2,6]=>[4,2,5,8,1,6,7,3]=>[1,3,3,1]=>11001001=>4 [4,1,7,5,8,3,6,2]=>[5,8,2,4,1,6,3,7]=>[2,2,2,2]=>10101010=>7 [6,7,1,3,8,4,5,2]=>[3,2,8,6,1,5,4,7]=>[1,2,1,2,2]=>11011010=>5 [1,6,7,4,3,8,5,2]=>[8,3,2,5,6,1,4,7]=>[1,1,3,3]=>11100100=>3 [6,1,7,4,2,8,5,3]=>[3,8,2,5,7,1,4,6]=>[2,3,3]=>10100100=>5 [2,1,6,7,4,3,8,5]=>[7,8,3,2,5,6,1,4]=>[2,1,3,2]=>10110010=>5 [6,7,3,2,1,8,4,5]=>[3,2,6,7,8,1,5,4]=>[1,4,2,1]=>11000101=>4 [2,5,7,3,1,4,8,6]=>[7,4,2,6,8,5,1,3]=>[1,1,3,1,2]=>11100110=>3 [6,7,3,2,8,4,5,1]=>[3,2,6,7,1,5,4,8]=>[1,3,2,2]=>11001010=>5 [1,2,6,7,4,3,8,5]=>[8,7,3,2,5,6,1,4]=>[1,1,1,3,2]=>11110010=>3 [2,7,1,8,4,6,3,5]=>[7,2,8,1,5,3,6,4]=>[1,2,2,2,1]=>11010101=>6 [2,7,5,8,1,6,3,4]=>[7,2,4,1,8,3,6,5]=>[1,2,2,2,1]=>11010101=>6 [6,7,1,8,4,5,3,2]=>[3,2,8,1,5,4,6,7]=>[1,2,2,3]=>11010100=>5 [8,3,7,6,1,2,5,4]=>[1,6,2,3,8,7,4,5]=>[2,3,1,2]=>10100110=>5 [8,7,3,4,6,2,5,1]=>[1,2,6,5,3,7,4,8]=>[3,1,2,2]=>10011010=>5 [8,2,5,7,1,4,6,3]=>[1,7,4,2,8,5,3,6]=>[2,1,2,1,2]=>10110110=>5 [8,2,4,7,1,5,6,3]=>[1,7,5,2,8,4,3,6]=>[2,1,2,1,2]=>10110110=>5 [8,2,3,4,7,1,5,6]=>[1,7,6,5,2,8,4,3]=>[2,1,1,2,1,1]=>10111011=>4 [8,7,3,5,6,2,4,1]=>[1,2,6,4,3,7,5,8]=>[3,1,2,2]=>10011010=>5 [8,7,4,6,5,2,3,1]=>[1,2,5,3,4,7,6,8]=>[3,3,2]=>10010010=>5 [8,4,6,7,5,1,2,3]=>[1,5,3,2,4,8,7,6]=>[2,1,3,1,1]=>10110011=>4 [8,4,6,7,5,1,3,2]=>[1,5,3,2,4,8,6,7]=>[2,1,3,2]=>10110010=>5 [8,3,5,7,6,1,4,2]=>[1,6,4,2,3,8,5,7]=>[2,1,3,2]=>10110010=>5 [8,7,3,6,2,1,5,4]=>[1,2,6,3,7,8,4,5]=>[3,3,2]=>10010010=>5 [8,7,3,4,6,2,1,5]=>[1,2,6,5,3,7,8,4]=>[3,1,3,1]=>10011001=>4 [8,7,4,6,5,2,1,3]=>[1,2,5,3,4,7,8,6]=>[3,4,1]=>10010001=>4 [8,6,5,2,7,4,3,1]=>[1,3,4,7,2,5,6,8]=>[4,4]=>10001000=>3 [8,4,3,7,6,5,1,2]=>[1,5,6,2,3,4,8,7]=>[3,4,1]=>10010001=>4 [8,5,7,6,4,1,2,3]=>[1,4,2,3,5,8,7,6]=>[2,4,1,1]=>10100011=>4 [8,4,2,7,5,1,6,3]=>[1,5,7,2,4,8,3,6]=>[3,3,2]=>10010010=>5 [8,3,4,2,7,5,6,1]=>[1,6,5,7,2,4,3,8]=>[2,2,2,2]=>10101010=>7 [8,4,7,6,5,1,2,3]=>[1,5,2,3,4,8,7,6]=>[2,4,1,1]=>10100011=>4 [8,3,5,2,7,4,6,1]=>[1,6,4,7,2,5,3,8]=>[2,2,2,2]=>10101010=>7 [8,5,2,6,7,4,1,3]=>[1,4,7,3,2,5,8,6]=>[3,1,3,1]=>10011001=>4 [8,5,3,7,6,4,1,2]=>[1,4,6,2,3,5,8,7]=>[3,4,1]=>10010001=>4 [8,6,2,5,7,3,1,4]=>[1,3,7,4,2,6,8,5]=>[3,1,3,1]=>10011001=>4 [8,6,2,4,7,3,1,5]=>[1,3,7,5,2,6,8,4]=>[3,1,3,1]=>10011001=>4 [8,5,2,3,7,4,1,6]=>[1,4,7,6,2,5,8,3]=>[3,1,3,1]=>10011001=>4 [8,5,3,2,7,6,4,1]=>[1,4,6,7,2,3,5,8]=>[4,4]=>10001000=>3 [8,5,1,7,3,6,2,4]=>[1,4,8,2,6,3,7,5]=>[3,2,2,1]=>10010101=>6 [8,6,1,5,4,3,2,7]=>[1,3,8,4,5,6,7,2]=>[3,4,1]=>10010001=>4 [2,7,4,6,1,5,8,3]=>[7,2,5,3,8,4,1,6]=>[1,2,2,1,2]=>11010110=>5 [2,6,3,7,1,8,5,4]=>[7,3,6,2,8,1,4,5]=>[1,2,2,3]=>11010100=>5 [2,5,3,4,8,1,6,7]=>[7,4,6,5,1,8,3,2]=>[1,2,1,2,1,1]=>11011011=>4 [2,3,8,4,5,1,6,7]=>[7,6,1,5,4,8,3,2]=>[1,1,2,2,1,1]=>11101011=>4 [8,7,3,1,5,4,6,2]=>[1,2,6,8,4,5,3,7]=>[4,2,2]=>10001010=>5 [6,2,5,4,8,3,1,7]=>[3,7,4,5,1,6,8,2]=>[2,2,3,1]=>10101001=>6 [1,6,5,4,8,3,2,7]=>[8,3,4,5,1,6,7,2]=>[1,3,3,1]=>11001001=>4 [1,6,4,8,5,3,2,7]=>[8,3,5,1,4,6,7,2]=>[1,2,4,1]=>11010001=>4 [8,2,4,3,1,5,6,7]=>[1,7,5,6,8,4,3,2]=>[2,3,1,1,1]=>10100111=>4 [1,7,3,5,8,4,6,2]=>[8,2,6,4,1,5,3,7]=>[1,2,1,2,2]=>11011010=>5 [6,3,1,7,4,5,8,2]=>[3,6,8,2,5,4,1,7]=>[3,2,1,2]=>10010110=>5 [7,2,1,6,4,8,5,3]=>[2,7,8,3,5,1,4,6]=>[3,2,3]=>10010100=>5 [4,8,3,1,2,5,6,7]=>[5,1,6,8,7,4,3,2]=>[1,3,1,1,1,1]=>11001111=>2 [4,8,1,3,2,5,6,7]=>[5,1,8,6,7,4,3,2]=>[1,2,2,1,1,1]=>11010111=>4 [6,5,4,8,2,3,1,7]=>[3,4,5,1,7,6,8,2]=>[3,2,2,1]=>10010101=>6 [7,5,8,3,2,4,6,1]=>[2,4,1,6,7,5,3,8]=>[2,3,1,2]=>10100110=>5 [8,7,5,1,3,4,6,2]=>[1,2,4,8,6,5,3,7]=>[4,1,1,2]=>10001110=>3 [8,7,2,1,4,6,5,3]=>[1,2,7,8,5,3,4,6]=>[4,1,3]=>10001100=>3 [7,1,8,3,4,6,5,2]=>[2,8,1,6,5,3,4,7]=>[2,2,1,3]=>10101100=>5 [4,1,5,3,8,6,2,7]=>[5,8,4,6,1,3,7,2]=>[2,2,3,1]=>10101001=>6 [4,6,5,1,8,3,2,7]=>[5,3,4,8,1,6,7,2]=>[1,3,3,1]=>11001001=>4 [6,5,7,1,3,2,8,4]=>[3,4,2,8,6,7,1,5]=>[2,2,2,2]=>10101010=>7 [2,7,3,6,4,8,5,1]=>[7,2,6,3,5,1,4,8]=>[1,2,2,3]=>11010100=>5 [3,7,1,5,8,4,6,2]=>[6,2,8,4,1,5,3,7]=>[1,2,1,2,2]=>11011010=>5 [3,8,4,1,2,5,6,7]=>[6,1,5,8,7,4,3,2]=>[1,3,1,1,1,1]=>11001111=>2 [3,8,1,4,2,5,6,7]=>[6,1,8,5,7,4,3,2]=>[1,2,2,1,1,1]=>11010111=>4 [2,1,8,4,3,5,6,7]=>[7,8,1,5,6,4,3,2]=>[2,3,1,1,1]=>10100111=>4 [3,2,7,6,4,8,5,1]=>[6,7,2,3,5,1,4,8]=>[2,3,3]=>10100100=>5 [1,3,7,6,4,8,5,2]=>[8,6,2,3,5,1,4,7]=>[1,1,3,3]=>11100100=>3 [1,2,7,5,8,4,6,3]=>[8,7,2,4,1,5,3,6]=>[1,1,2,2,2]=>11101010=>5 [3,1,8,7,6,4,2,5]=>[6,8,1,2,3,5,7,4]=>[2,5,1]=>10100001=>4 [3,1,8,7,5,4,2,6]=>[6,8,1,2,4,5,7,3]=>[2,5,1]=>10100001=>4 [3,1,7,6,5,4,2,8]=>[6,8,2,3,4,5,7,1]=>[2,5,1]=>10100001=>4 [4,7,1,6,5,3,2,8]=>[5,2,8,3,4,6,7,1]=>[1,2,4,1]=>11010001=>4 [4,8,1,6,5,3,2,7]=>[5,1,8,3,4,6,7,2]=>[1,2,4,1]=>11010001=>4 [8,4,1,7,6,3,2,5]=>[1,5,8,2,3,6,7,4]=>[3,4,1]=>10010001=>4 [5,4,1,8,6,3,2,7]=>[4,5,8,1,3,6,7,2]=>[3,4,1]=>10010001=>4 [5,4,1,7,6,3,2,8]=>[4,5,8,2,3,6,7,1]=>[3,4,1]=>10010001=>4 [6,4,1,8,5,3,2,7]=>[3,5,8,1,4,6,7,2]=>[3,4,1]=>10010001=>4 [8,4,1,7,5,3,2,6]=>[1,5,8,2,4,6,7,3]=>[3,4,1]=>10010001=>4 [7,4,1,6,5,3,2,8]=>[2,5,8,3,4,6,7,1]=>[3,4,1]=>10010001=>4 [7,5,6,1,4,3,2,8]=>[2,4,3,8,5,6,7,1]=>[2,2,3,1]=>10101001=>6 [8,5,6,1,4,3,2,7]=>[1,4,3,8,5,6,7,2]=>[2,2,3,1]=>10101001=>6 [8,5,7,1,4,3,2,6]=>[1,4,2,8,5,6,7,3]=>[2,2,3,1]=>10101001=>6 [5,7,6,1,4,3,2,8]=>[4,2,3,8,5,6,7,1]=>[1,3,3,1]=>11001001=>4 [5,8,6,1,4,3,2,7]=>[4,1,3,8,5,6,7,2]=>[1,3,3,1]=>11001001=>4 [6,7,5,1,4,3,2,8]=>[3,2,4,8,5,6,7,1]=>[1,3,3,1]=>11001001=>4 [8,7,5,1,4,3,2,6]=>[1,2,4,8,5,6,7,3]=>[4,3,1]=>10001001=>4 [8,6,5,1,4,3,2,7]=>[1,3,4,8,5,6,7,2]=>[4,3,1]=>10001001=>4 [3,1,5,2,7,6,4,8]=>[6,8,4,7,2,3,5,1]=>[2,2,3,1]=>10101001=>6 [3,1,6,7,8,5,4,2]=>[6,8,3,2,1,4,5,7]=>[2,1,1,4]=>10111000=>3 [8,6,1,7,2,5,3,4]=>[1,3,8,2,7,4,6,5]=>[3,2,2,1]=>10010101=>6 [1,8,6,3,4,2,5,7]=>[8,1,3,6,5,7,4,2]=>[1,3,2,1,1]=>11001011=>4 [3,1,6,4,5,2,7,8]=>[6,8,3,5,4,7,2,1]=>[2,2,2,1,1]=>10101011=>6 [3,1,6,7,8,5,2,4]=>[6,8,3,2,1,4,7,5]=>[2,1,1,3,1]=>10111001=>4 [3,1,6,4,5,8,2,7]=>[6,8,3,5,4,1,7,2]=>[2,2,1,2,1]=>10101101=>6 [1,8,6,3,4,2,7,5]=>[8,1,3,6,5,7,2,4]=>[1,3,2,2]=>11001010=>5 [4,6,7,3,2,1,8,5]=>[5,3,2,6,7,8,1,4]=>[1,1,4,2]=>11100010=>3 [4,6,8,7,2,5,1,3]=>[5,3,1,2,7,4,8,6]=>[1,1,3,2,1]=>11100101=>4 [4,6,8,3,5,2,1,7]=>[5,3,1,6,4,7,8,2]=>[1,1,2,3,1]=>11101001=>4 [5,6,3,7,4,2,8,1]=>[4,3,6,2,5,7,1,8]=>[1,2,3,2]=>11010010=>5 [6,2,3,7,5,1,8,4]=>[3,7,6,2,4,8,1,5]=>[2,1,3,2]=>10110010=>5 [6,2,3,1,7,5,8,4]=>[3,7,6,8,2,4,1,5]=>[2,2,2,2]=>10101010=>7 [7,6,3,1,4,8,5,2]=>[2,3,6,8,5,1,4,7]=>[4,1,3]=>10001100=>3 [6,1,7,3,5,2,8,4]=>[3,8,2,6,4,7,1,5]=>[2,2,2,2]=>10101010=>7 [7,1,6,3,4,5,2,8]=>[2,8,3,6,5,4,7,1]=>[2,2,1,2,1]=>10101101=>6 [7,1,6,3,4,5,8,2]=>[2,8,3,6,5,4,1,7]=>[2,2,1,1,2]=>10101110=>5 [8,6,3,1,4,5,2,7]=>[1,3,6,8,5,4,7,2]=>[4,1,2,1]=>10001101=>4 [7,6,3,8,4,5,2,1]=>[2,3,6,1,5,4,7,8]=>[3,2,3]=>10010100=>5 [6,2,7,8,5,4,3,1]=>[3,7,2,1,4,5,6,8]=>[2,1,5]=>10110000=>3 [6,8,1,7,4,5,3,2]=>[3,1,8,2,5,4,6,7]=>[1,2,2,3]=>11010100=>5 [5,2,1,4,7,6,8,3]=>[4,7,8,5,2,3,1,6]=>[3,1,2,2]=>10011010=>5 [8,2,7,6,1,4,3,5]=>[1,7,2,3,8,5,6,4]=>[2,3,2,1]=>10100101=>6 [5,2,7,8,1,4,3,6]=>[4,7,2,1,8,5,6,3]=>[2,1,2,2,1]=>10110101=>6 [5,2,7,6,8,4,3,1]=>[4,7,2,3,1,5,6,8]=>[2,2,4]=>10101000=>5 [5,6,3,8,4,1,2,7]=>[4,3,6,1,5,8,7,2]=>[1,2,3,1,1]=>11010011=>4 [4,6,7,3,5,1,8,2]=>[5,3,2,6,4,8,1,7]=>[1,1,2,2,2]=>11101010=>5 [4,6,7,3,5,1,2,8]=>[5,3,2,6,4,8,7,1]=>[1,1,2,2,1,1]=>11101011=>4 [7,2,3,6,1,5,8,4]=>[2,7,6,3,8,4,1,5]=>[2,1,2,1,2]=>10110110=>5 [8,2,7,6,1,4,5,3]=>[1,7,2,3,8,5,4,6]=>[2,3,1,2]=>10100110=>5 [5,2,3,4,7,1,6,8]=>[4,7,6,5,2,8,3,1]=>[2,1,1,2,1,1]=>10111011=>4 [5,2,3,4,8,1,7,6]=>[4,7,6,5,1,8,2,3]=>[2,1,1,2,2]=>10111010=>5 [5,2,3,7,1,6,8,4]=>[4,7,6,2,8,3,1,5]=>[2,1,2,1,2]=>10110110=>5 [5,2,3,4,7,8,1,6]=>[4,7,6,5,2,1,8,3]=>[2,1,1,1,2,1]=>10111101=>4 [8,7,5,3,1,6,4,2]=>[1,2,4,6,8,3,5,7]=>[5,3]=>10000100=>3 [3,7,4,2,5,1,6,8]=>[6,2,5,7,4,8,3,1]=>[1,3,2,1,1]=>11001011=>4 [1,4,7,8,5,2,3,6]=>[8,5,2,1,4,7,6,3]=>[1,1,1,3,1,1]=>11110011=>2 [3,2,6,7,4,1,5,8]=>[6,7,3,2,5,8,4,1]=>[2,1,3,1,1]=>10110011=>4 [6,7,3,5,1,8,4,2]=>[3,2,6,4,8,1,5,7]=>[1,2,2,3]=>11010100=>5 [7,6,3,5,2,1,4,8]=>[2,3,6,4,7,8,5,1]=>[3,3,1,1]=>10010011=>4 [4,6,3,2,5,8,1,7]=>[5,3,6,7,4,1,8,2]=>[1,3,1,2,1]=>11001101=>4 [2,6,8,7,4,1,3,5]=>[7,3,1,2,5,8,6,4]=>[1,1,4,1,1]=>11100011=>2 [5,8,3,7,6,4,1,2]=>[4,1,6,2,3,5,8,7]=>[1,2,4,1]=>11010001=>4 [6,5,1,7,2,4,8,3]=>[3,4,8,2,7,5,1,6]=>[3,2,1,2]=>10010110=>5 [3,6,7,1,4,2,5,8]=>[6,3,2,8,5,7,4,1]=>[1,1,2,2,1,1]=>11101011=>4 [4,7,5,8,2,1,3,6]=>[5,2,4,1,7,8,6,3]=>[1,2,3,1,1]=>11010011=>4 [6,1,5,2,7,4,3,8]=>[3,8,4,7,2,5,6,1]=>[2,2,3,1]=>10101001=>6 [8,1,2,7,5,4,3,6]=>[1,8,7,2,4,5,6,3]=>[2,1,4,1]=>10110001=>4 [6,5,1,8,3,7,2,4]=>[3,4,8,1,6,2,7,5]=>[3,2,2,1]=>10010101=>6 [8,1,5,3,2,6,4,7]=>[1,8,4,6,7,3,5,2]=>[2,3,2,1]=>10100101=>6 [1,8,3,6,5,4,2,7]=>[8,1,6,3,4,5,7,2]=>[1,2,4,1]=>11010001=>4 [7,6,1,5,4,3,2,8]=>[2,3,8,4,5,6,7,1]=>[3,4,1]=>10010001=>4 [4,6,5,2,8,1,3,7]=>[5,3,4,7,1,8,6,2]=>[1,3,2,1,1]=>11001011=>4 [5,3,1,7,4,6,2,8]=>[4,6,8,2,5,3,7,1]=>[3,2,2,1]=>10010101=>6 [1,8,7,5,3,2,6,4]=>[8,1,2,4,6,7,3,5]=>[1,5,2]=>11000010=>3 [5,1,7,6,3,2,8,4]=>[4,8,2,3,6,7,1,5]=>[2,4,2]=>10100010=>5 [4,7,6,2,5,1,3,8]=>[5,2,3,7,4,8,6,1]=>[1,3,2,1,1]=>11001011=>4 [4,7,3,1,5,6,8,2]=>[5,2,6,8,4,3,1,7]=>[1,3,1,1,2]=>11001110=>3 [7,8,1,5,4,2,3,6]=>[2,1,8,4,5,7,6,3]=>[1,2,3,1,1]=>11010011=>4 [2,1,8,4,5,6,3,7]=>[7,8,1,5,4,3,6,2]=>[2,2,1,2,1]=>10101101=>6 [2,7,5,1,4,6,3,8]=>[7,2,4,8,5,3,6,1]=>[1,3,1,2,1]=>11001101=>4 [7,2,1,4,5,3,8,6]=>[2,7,8,5,4,6,1,3]=>[3,1,2,2]=>10011010=>5 [3,4,6,8,1,5,7,2]=>[6,5,3,1,8,4,2,7]=>[1,1,1,2,1,2]=>11110110=>3 [4,2,5,6,1,3,7,8]=>[5,7,4,3,8,6,2,1]=>[2,1,2,1,1,1]=>10110111=>4 [5,7,6,1,4,3,8,2]=>[4,2,3,8,5,6,1,7]=>[1,3,2,2]=>11001010=>5 [6,8,1,7,5,4,2,3]=>[3,1,8,2,4,5,7,6]=>[1,2,4,1]=>11010001=>4 [7,6,3,1,2,8,5,4]=>[2,3,6,8,7,1,4,5]=>[4,1,3]=>10001100=>3 [5,6,7,1,4,2,8,3]=>[4,3,2,8,5,7,1,6]=>[1,1,2,2,2]=>11101010=>5 [6,3,5,7,1,4,2,8]=>[3,6,4,2,8,5,7,1]=>[2,1,2,2,1]=>10110101=>6 [5,2,6,7,4,8,1,3]=>[4,7,3,2,5,1,8,6]=>[2,1,2,2,1]=>10110101=>6 [6,7,5,2,4,1,3,8]=>[3,2,4,7,5,8,6,1]=>[1,3,2,1,1]=>11001011=>4 [5,7,6,1,3,4,8,2]=>[4,2,3,8,6,5,1,7]=>[1,3,1,1,2]=>11001110=>3 [7,5,6,4,8,1,3,2]=>[2,4,3,5,1,8,6,7]=>[2,2,2,2]=>10101010=>7 [7,1,3,6,8,2,4,5]=>[2,8,6,3,1,7,5,4]=>[2,1,1,2,1,1]=>10111011=>4 [1,2,5,7,8,4,6,3]=>[8,7,4,2,1,5,3,6]=>[1,1,1,1,2,2]=>11111010=>3 [3,1,2,7,5,4,8,6]=>[6,8,7,2,4,5,1,3]=>[2,1,3,2]=>10110010=>5 [8,6,1,7,5,2,4,3]=>[1,3,8,2,4,7,5,6]=>[3,3,2]=>10010010=>5 [7,6,4,1,8,3,2,5]=>[2,3,5,8,1,6,7,4]=>[4,3,1]=>10001001=>4 [8,4,1,6,5,2,7,3]=>[1,5,8,3,4,7,2,6]=>[3,3,2]=>10010010=>5 [1,5,3,4,7,8,2,6]=>[8,4,6,5,2,1,7,3]=>[1,2,1,1,2,1]=>11011101=>4 [4,2,1,5,7,8,3,6]=>[5,7,8,4,2,1,6,3]=>[3,1,1,2,1]=>10011101=>4 [5,4,1,6,7,8,2,3]=>[4,5,8,3,2,1,7,6]=>[3,1,1,2,1]=>10011101=>4 [4,1,5,3,7,8,2,6]=>[5,8,4,6,2,1,7,3]=>[2,2,1,2,1]=>10101101=>6 [8,1,4,6,5,2,7,3]=>[1,8,5,3,4,7,2,6]=>[2,1,3,2]=>10110010=>5 [7,1,5,4,6,3,2,8]=>[2,8,4,5,3,6,7,1]=>[2,2,3,1]=>10101001=>6 [8,2,1,6,7,5,4,3]=>[1,7,8,3,2,4,5,6]=>[3,1,4]=>10011000=>3 [1,2,4,7,6,3,8,5]=>[8,7,5,2,3,6,1,4]=>[1,1,1,3,2]=>11110010=>3 [8,6,4,1,5,7,3,2]=>[1,3,5,8,4,2,6,7]=>[4,1,3]=>10001100=>3 [5,2,4,3,7,1,6,8]=>[4,7,5,6,2,8,3,1]=>[2,2,2,1,1]=>10101011=>6 [6,1,5,4,8,3,2,7]=>[3,8,4,5,1,6,7,2]=>[2,2,3,1]=>10101001=>6 [1,2,8,7,4,3,6,5]=>[8,7,1,2,5,6,3,4]=>[1,1,4,2]=>11100010=>3 [3,2,1,7,5,8,4,6]=>[6,7,8,2,4,1,5,3]=>[3,2,2,1]=>10010101=>6 [1,3,6,4,7,8,2,5]=>[8,6,3,5,2,1,7,4]=>[1,1,2,1,2,1]=>11101101=>4 [5,2,3,1,7,8,4,6]=>[4,7,6,8,2,1,5,3]=>[2,2,1,2,1]=>10101101=>6 [1,6,4,3,7,8,2,5]=>[8,3,5,6,2,1,7,4]=>[1,3,1,2,1]=>11001101=>4 [7,6,4,3,1,5,2,8]=>[2,3,5,6,8,4,7,1]=>[5,2,1]=>10000101=>4 [7,5,4,6,1,3,2,8]=>[2,4,5,3,8,6,7,1]=>[3,2,2,1]=>10010101=>6 [8,4,6,5,1,2,7,3]=>[1,5,3,4,8,7,2,6]=>[2,3,1,2]=>10100110=>5 [1,5,6,3,7,8,2,4]=>[8,4,3,6,2,1,7,5]=>[1,1,2,1,2,1]=>11101101=>4 [6,8,3,5,7,2,4,1]=>[3,1,6,4,2,7,5,8]=>[1,2,1,2,2]=>11011010=>5 [8,6,5,7,2,1,4,3]=>[1,3,4,2,7,8,5,6]=>[3,3,2]=>10010010=>5 [1,6,3,8,4,5,7,2]=>[8,3,6,1,5,4,2,7]=>[1,2,2,1,2]=>11010110=>5 [7,5,4,2,6,3,8,1]=>[2,4,5,7,3,6,1,8]=>[4,2,2]=>10001010=>5 [7,1,4,3,2,8,6,5]=>[2,8,5,6,7,1,3,4]=>[2,3,3]=>10100100=>5 [7,8,6,5,4,3,2,9,1]=>[3,2,4,5,6,7,8,1,9]=>[1,6,2]=>110000010=>3 [9,7,6,5,4,3,1,2,8]=>[1,3,4,5,6,7,9,8,2]=>[7,1,1]=>100000011=>2 [2,4,3,5,6,7,8,9,1]=>[8,6,7,5,4,3,2,1,9]=>[1,2,1,1,1,1,2]=>110111110=>3 [2,3,8,4,7,5,6,1]=>[7,6,1,5,2,4,3,8]=>[1,1,2,2,2]=>11101010=>5 [3,7,4,6,2,5,8,1]=>[6,2,5,3,7,4,1,8]=>[1,2,2,1,2]=>11010110=>5 [6,2,7,3,1,8,4,5]=>[3,7,2,6,8,1,5,4]=>[2,3,2,1]=>10100101=>6 [4,3,7,8,6,2,5,1]=>[5,6,2,1,3,7,4,8]=>[2,1,3,2]=>10110010=>5 [8,2,3,4,7,5,6,1]=>[1,7,6,5,2,4,3,8]=>[2,1,1,2,2]=>10111010=>5 [2,4,7,8,6,1,5,3]=>[7,5,2,1,3,8,4,6]=>[1,1,1,3,2]=>11110010=>3 [2,6,7,3,8,5,1,4]=>[7,3,2,6,1,4,8,5]=>[1,1,2,3,1]=>11101001=>4 [2,4,8,5,1,7,3,6]=>[7,5,1,4,8,2,6,3]=>[1,1,3,2,1]=>11100101=>4 [2,8,3,5,1,6,4,7]=>[7,1,6,4,8,3,5,2]=>[1,2,2,2,1]=>11010101=>6 [8,2,4,6,3,7,5,1]=>[1,7,5,3,6,2,4,8]=>[2,1,2,3]=>10110100=>5 [2,8,3,5,1,4,6,7]=>[7,1,6,4,8,5,3,2]=>[1,2,2,1,1,1]=>11010111=>4 [3,4,6,2,5,7,8,1]=>[6,5,3,7,4,2,1,8]=>[1,1,2,1,1,2]=>11101110=>3 [4,5,2,6,1,7,8,3]=>[5,4,7,3,8,2,1,6]=>[1,2,2,1,2]=>11010110=>5 [3,6,5,7,8,1,2,4]=>[6,3,4,2,1,8,7,5]=>[1,2,1,2,1,1]=>11011011=>4 [4,5,3,8,2,1,7,6]=>[5,4,6,1,7,8,2,3]=>[1,2,3,2]=>11010010=>5 [4,8,3,2,5,1,6,7]=>[5,1,6,7,4,8,3,2]=>[1,3,2,1,1]=>11001011=>4 [2,5,4,8,3,7,1,6]=>[7,4,5,1,6,2,8,3]=>[1,2,2,2,1]=>11010101=>6 [5,8,3,1,7,4,2,6]=>[4,1,6,8,2,5,7,3]=>[1,3,3,1]=>11001001=>4 [5,4,8,6,1,3,2,7]=>[4,5,1,3,8,6,7,2]=>[2,3,2,1]=>10100101=>6 [4,7,5,2,6,8,3,1]=>[5,2,4,7,3,1,6,8]=>[1,3,1,3]=>11001100=>3 [5,7,4,2,8,6,3,1]=>[4,2,5,7,1,3,6,8]=>[1,3,4]=>11001000=>3 [4,6,2,3,8,5,7,1]=>[5,3,7,6,1,4,2,8]=>[1,2,1,2,2]=>11011010=>5 [3,7,2,4,5,6,8,1]=>[6,2,7,5,4,3,1,8]=>[1,2,1,1,1,2]=>11011110=>3 [5,2,7,1,3,8,6,4]=>[4,7,2,8,6,1,3,5]=>[2,2,1,3]=>10101100=>5 [4,3,7,8,2,5,6,1]=>[5,6,2,1,7,4,3,8]=>[2,1,2,1,2]=>10110110=>5 [6,3,8,5,1,2,4,7]=>[3,6,1,4,8,7,5,2]=>[2,3,1,1,1]=>10100111=>4 [8,5,3,4,7,2,6,1]=>[1,4,6,5,2,7,3,8]=>[3,1,2,2]=>10011010=>5 [4,3,5,8,2,7,1,6]=>[5,6,4,1,7,2,8,3]=>[2,1,2,2,1]=>10110101=>6 [4,3,8,2,5,6,1,7]=>[5,6,1,7,4,3,8,2]=>[2,2,1,2,1]=>10101101=>6 [4,5,6,7,8,9,2,1,3]=>[6,5,4,3,2,1,8,9,7]=>[1,1,1,1,1,3,1]=>111111001=>2 [6,7,8,9,2,1,3,4,5]=>[4,3,2,1,8,9,7,6,5]=>[1,1,1,3,1,1,1]=>111100111=>2 [8,9,2,1,3,4,5,6,7]=>[2,1,8,9,7,6,5,4,3]=>[1,3,1,1,1,1,1]=>110011111=>2 [1,4,6,2,7,5,3,8]=>[8,5,3,7,2,4,6,1]=>[1,1,2,3,1]=>11101001=>4 [8,2,7,5,1,4,6,3]=>[1,7,2,4,8,5,3,6]=>[2,3,1,2]=>10100110=>5 [1,7,4,6,8,3,5,2]=>[8,2,5,3,1,6,4,7]=>[1,2,1,2,2]=>11011010=>5 [8,2,1,4,5,6,7,3]=>[1,7,8,5,4,3,2,6]=>[3,1,1,1,2]=>10011110=>3 [7,3,1,2,5,6,4,8]=>[2,6,8,7,4,3,5,1]=>[3,1,1,2,1]=>10011101=>4 [7,2,4,1,5,8,6,3]=>[2,7,5,8,4,1,3,6]=>[2,2,1,3]=>10101100=>5 [7,8,2,1,5,4,6,3]=>[2,1,7,8,4,5,3,6]=>[1,3,2,2]=>11001010=>5 [1,4,2,8,6,5,3,7]=>[8,5,7,1,3,4,6,2]=>[1,2,4,1]=>11010001=>4 [1,4,8,5,2,6,3,7]=>[8,5,1,4,7,3,6,2]=>[1,1,3,2,1]=>11100101=>4 [1,5,2,4,6,3,8,7]=>[8,4,7,5,3,6,1,2]=>[1,2,1,2,2]=>11011010=>5 [1,8,5,3,2,6,4,7]=>[8,1,4,6,7,3,5,2]=>[1,4,2,1]=>11000101=>4 [6,4,1,3,2,5,8,7]=>[3,5,8,6,7,4,1,2]=>[3,2,1,2]=>10010110=>5 [5,2,3,7,8,1,6,4]=>[4,7,6,2,1,8,3,5]=>[2,1,1,2,2]=>10111010=>5 [5,2,8,6,3,1,7,4]=>[4,7,1,3,6,8,2,5]=>[2,4,2]=>10100010=>5 [6,2,3,5,1,8,7,4]=>[3,7,6,4,8,1,2,5]=>[2,1,2,3]=>10110100=>5 [7,6,3,4,2,8,1,5]=>[2,3,6,5,7,1,8,4]=>[3,2,2,1]=>10010101=>6 [8,6,3,2,5,7,1,4]=>[1,3,6,7,4,2,8,5]=>[4,1,2,1]=>10001101=>4 [6,2,5,3,7,1,8,4]=>[3,7,4,6,2,8,1,5]=>[2,2,2,2]=>10101010=>7 [8,5,3,6,7,2,1,4]=>[1,4,6,3,2,7,8,5]=>[3,1,3,1]=>10011001=>4 [4,5,7,8,6,2,1,3]=>[5,4,2,1,3,7,8,6]=>[1,1,1,4,1]=>11110001=>2 [1,2,8,4,3,6,7,5]=>[8,7,1,5,6,3,2,4]=>[1,1,3,1,2]=>11100110=>3 [1,8,3,2,4,6,7,5]=>[8,1,6,7,5,3,2,4]=>[1,3,1,1,2]=>11001110=>3 [1,2,7,5,3,4,6,8]=>[8,7,2,4,6,5,3,1]=>[1,1,3,1,1,1]=>11100111=>2 [1,2,7,4,5,3,8,6]=>[8,7,2,5,4,6,1,3]=>[1,1,2,2,2]=>11101010=>5 [1,7,3,2,6,8,4,5]=>[8,2,6,7,3,1,5,4]=>[1,3,1,2,1]=>11001101=>4 [8,2,7,1,4,3,5,6]=>[1,7,2,8,5,6,4,3]=>[2,2,2,1,1]=>10101011=>6 [7,2,1,3,6,8,4,5]=>[2,7,8,6,3,1,5,4]=>[3,1,1,2,1]=>10011101=>4 [6,2,1,7,8,3,4,5]=>[3,7,8,2,1,6,5,4]=>[3,1,2,1,1]=>10011011=>4 [4,6,5,2,7,1,8,3]=>[5,3,4,7,2,8,1,6]=>[1,3,2,2]=>11001010=>5 [6,7,2,5,3,1,8,4]=>[3,2,7,4,6,8,1,5]=>[1,2,3,2]=>11010010=>5 [3,7,2,5,4,1,8,6]=>[6,2,7,4,5,8,1,3]=>[1,2,3,2]=>11010010=>5 [7,4,2,6,3,1,8,5]=>[2,5,7,3,6,8,1,4]=>[3,3,2]=>10010010=>5 [2,6,4,7,5,1,8,3]=>[7,3,5,2,4,8,1,6]=>[1,2,3,2]=>11010010=>5 [3,4,7,6,5,1,8,2]=>[6,5,2,3,4,8,1,7]=>[1,1,4,2]=>11100010=>3 [3,4,7,6,2,8,5,1]=>[6,5,2,3,7,1,4,8]=>[1,1,3,3]=>11100100=>3 [4,7,8,2,6,5,3,1]=>[5,2,1,7,3,4,6,8]=>[1,1,2,4]=>11101000=>3 [4,7,8,1,6,5,3,2]=>[5,2,1,8,3,4,6,7]=>[1,1,2,4]=>11101000=>3 [3,6,7,1,5,4,2,8]=>[6,3,2,8,4,5,7,1]=>[1,1,2,3,1]=>11101001=>4 [3,5,8,6,1,4,2,7]=>[6,4,1,3,8,5,7,2]=>[1,1,3,2,1]=>11100101=>4 [1,6,4,7,2,8,5,3]=>[8,3,5,2,7,1,4,6]=>[1,2,2,3]=>11010100=>5 [1,3,7,5,2,8,4,6]=>[8,6,2,4,7,1,5,3]=>[1,1,3,2,1]=>11100101=>4 [1,4,7,6,3,8,5,2]=>[8,5,2,3,6,1,4,7]=>[1,1,3,3]=>11100100=>3 [1,7,8,2,6,5,4,3]=>[8,2,1,7,3,4,5,6]=>[1,1,2,4]=>11101000=>3 [1,3,6,2,7,5,4,8]=>[8,6,3,7,2,4,5,1]=>[1,1,2,3,1]=>11101001=>4 [1,8,2,6,5,4,3,7]=>[8,1,7,3,4,5,6,2]=>[1,2,4,1]=>11010001=>4 [1,3,8,2,7,5,4,6]=>[8,6,1,7,2,4,5,3]=>[1,1,2,3,1]=>11101001=>4 [1,8,4,2,7,6,3,5]=>[8,1,5,7,2,3,6,4]=>[1,3,3,1]=>11001001=>4 [2,6,1,7,5,4,3,8]=>[7,3,8,2,4,5,6,1]=>[1,2,4,1]=>11010001=>4 [2,7,1,6,5,4,3,8]=>[7,2,8,3,4,5,6,1]=>[1,2,4,1]=>11010001=>4 [8,7,2,6,5,4,3,1]=>[1,2,7,3,4,5,6,8]=>[3,5]=>10010000=>3 [8,2,1,6,5,4,3,7]=>[1,7,8,3,4,5,6,2]=>[3,4,1]=>10010001=>4 [7,4,2,8,1,6,3,5]=>[2,5,7,1,8,3,6,4]=>[3,2,2,1]=>10010101=>6 [5,2,8,6,1,4,3,7]=>[4,7,1,3,8,5,6,2]=>[2,3,2,1]=>10100101=>6 [7,3,8,1,6,5,4,2]=>[2,6,1,8,3,4,5,7]=>[2,2,4]=>10101000=>5 [7,3,8,2,6,5,4,1]=>[2,6,1,7,3,4,5,8]=>[2,2,4]=>10101000=>5 [4,6,5,3,1,7,2,8]=>[5,3,4,6,8,2,7,1]=>[1,4,2,1]=>11000101=>4 [5,3,6,1,2,8,7,4]=>[4,6,3,8,7,1,2,5]=>[2,2,1,3]=>10101100=>5 [3,5,4,1,2,8,7,6]=>[6,4,5,8,7,1,2,3]=>[1,3,1,3]=>11001100=>3 [4,6,5,1,2,8,7,3]=>[5,3,4,8,7,1,2,6]=>[1,3,1,3]=>11001100=>3 [6,8,1,2,7,5,3,4]=>[3,1,8,7,2,4,6,5]=>[1,2,1,3,1]=>11011001=>4 [4,6,2,3,8,7,5,1]=>[5,3,7,6,1,2,4,8]=>[1,2,1,4]=>11011000=>3 [3,2,7,4,8,6,5,1]=>[6,7,2,5,1,3,4,8]=>[2,2,4]=>10101000=>5 [8,1,6,2,7,5,4,3]=>[1,8,3,7,2,4,5,6]=>[2,2,4]=>10101000=>5 [5,2,1,7,3,8,6,4]=>[4,7,8,2,6,1,3,5]=>[3,2,3]=>10010100=>5 [6,1,2,8,5,4,3,7]=>[3,8,7,1,4,5,6,2]=>[2,1,4,1]=>10110001=>4 [7,1,3,8,6,5,4,2]=>[2,8,6,1,3,4,5,7]=>[2,1,5]=>10110000=>3 [7,2,3,8,6,5,4,1]=>[2,7,6,1,3,4,5,8]=>[2,1,5]=>10110000=>3 [8,1,3,7,6,5,4,2]=>[1,8,6,2,3,4,5,7]=>[2,1,5]=>10110000=>3 [1,3,7,4,8,6,5,2]=>[8,6,2,5,1,3,4,7]=>[1,1,2,4]=>11101000=>3 [2,4,1,8,7,3,6,5]=>[7,5,8,1,2,6,3,4]=>[1,2,3,2]=>11010010=>5 [2,8,5,1,7,3,6,4]=>[7,1,4,8,2,6,3,5]=>[1,3,2,2]=>11001010=>5 [2,8,1,5,4,3,7,6]=>[7,1,8,4,5,6,2,3]=>[1,2,3,2]=>11010010=>5 [2,8,6,1,5,4,3,7]=>[7,1,3,8,4,5,6,2]=>[1,3,3,1]=>11001001=>4 [2,6,1,5,8,4,3,7]=>[7,3,8,4,1,5,6,2]=>[1,2,1,3,1]=>11011001=>4 [2,8,1,5,4,3,6,7]=>[7,1,8,4,5,6,3,2]=>[1,2,3,1,1]=>11010011=>4 [7,4,6,1,5,3,2,8]=>[2,5,3,8,4,6,7,1]=>[2,2,3,1]=>10101001=>6 [8,4,6,1,5,3,2,7]=>[1,5,3,8,4,6,7,2]=>[2,2,3,1]=>10101001=>6 [7,3,8,6,1,5,4,2]=>[2,6,1,3,8,4,5,7]=>[2,3,3]=>10100100=>5 [3,5,1,6,8,4,2,7]=>[6,4,8,3,1,5,7,2]=>[1,2,1,3,1]=>11011001=>4 [3,5,1,7,8,2,6,4]=>[6,4,8,2,1,7,3,5]=>[1,2,1,2,2]=>11011010=>5 [3,7,8,6,1,5,4,2]=>[6,2,1,3,8,4,5,7]=>[1,1,3,3]=>11100100=>3 [7,8,4,6,1,5,3,2]=>[2,1,5,3,8,4,6,7]=>[1,2,2,3]=>11010100=>5 [4,6,1,5,3,2,7,8]=>[5,3,8,4,6,7,2,1]=>[1,2,3,1,1]=>11010011=>4 [5,4,7,8,2,1,6,3]=>[4,5,2,1,7,8,3,6]=>[2,1,3,2]=>10110010=>5 [5,4,6,8,3,2,1,7]=>[4,5,3,1,6,7,8,2]=>[2,1,4,1]=>10110001=>4 [6,4,5,8,3,2,1,7]=>[3,5,4,1,6,7,8,2]=>[2,1,4,1]=>10110001=>4 [7,4,5,8,2,1,6,3]=>[2,5,4,1,7,8,3,6]=>[2,1,3,2]=>10110010=>5 [7,4,6,8,1,5,3,2]=>[2,5,3,1,8,4,6,7]=>[2,1,2,3]=>10110100=>5 [5,3,6,1,8,4,2,7]=>[4,6,3,8,1,5,7,2]=>[2,2,3,1]=>10101001=>6 [6,3,8,7,1,5,4,2]=>[3,6,1,2,8,4,5,7]=>[2,3,3]=>10100100=>5 [8,6,4,7,1,5,3,2]=>[1,3,5,2,8,4,6,7]=>[3,2,3]=>10010100=>5 [6,4,7,1,5,3,2,8]=>[3,5,2,8,4,6,7,1]=>[2,2,3,1]=>10101001=>6 [5,4,7,2,1,6,3,8]=>[4,5,2,7,8,3,6,1]=>[2,3,2,1]=>10100101=>6 [8,5,4,7,2,1,6,3]=>[1,4,5,2,7,8,3,6]=>[3,3,2]=>10010010=>5 [3,4,6,2,1,8,5,7]=>[6,5,3,7,8,1,4,2]=>[1,1,3,2,1]=>11100101=>4 [4,5,7,2,1,6,3,8]=>[5,4,2,7,8,3,6,1]=>[1,1,3,2,1]=>11100101=>4 [4,6,7,1,5,3,2,8]=>[5,3,2,8,4,6,7,1]=>[1,1,2,3,1]=>11101001=>4 [5,6,4,8,3,2,1,7]=>[4,3,5,1,6,7,8,2]=>[1,2,4,1]=>11010001=>4 [5,7,4,8,2,1,6,3]=>[4,2,5,1,7,8,3,6]=>[1,2,3,2]=>11010010=>5 [4,7,6,8,1,5,3,2]=>[5,2,3,1,8,4,6,7]=>[1,2,2,3]=>11010100=>5 [4,7,5,8,2,1,6,3]=>[5,2,4,1,7,8,3,6]=>[1,2,3,2]=>11010010=>5 [3,6,1,7,2,8,5,4]=>[6,3,8,2,7,1,4,5]=>[1,2,2,3]=>11010100=>5 [5,7,4,2,6,3,8,1]=>[4,2,5,7,3,6,1,8]=>[1,3,2,2]=>11001010=>5 [5,7,4,1,6,2,8,3]=>[4,2,5,8,3,7,1,6]=>[1,3,2,2]=>11001010=>5 [7,8,3,1,5,2,6,4]=>[2,1,6,8,4,7,3,5]=>[1,3,2,2]=>11001010=>5 [8,3,4,1,7,5,2,6]=>[1,6,5,8,2,4,7,3]=>[2,2,3,1]=>10101001=>6 [6,8,7,3,1,4,2,5]=>[3,1,2,6,8,5,7,4]=>[1,4,2,1]=>11000101=>4 [8,5,6,1,7,3,2,4]=>[1,4,3,8,2,6,7,5]=>[2,2,3,1]=>10101001=>6 [4,5,1,6,7,8,3,2]=>[5,4,8,3,2,1,6,7]=>[1,2,1,1,3]=>11011100=>3 [5,8,2,6,7,4,1,3]=>[4,1,7,3,2,5,8,6]=>[1,2,1,3,1]=>11011001=>4 [5,6,8,2,1,7,3,4]=>[4,3,1,7,8,2,6,5]=>[1,1,3,2,1]=>11100101=>4 [6,4,8,7,2,1,3,5]=>[3,5,1,2,7,8,6,4]=>[2,4,1,1]=>10100011=>4 [4,5,2,6,1,3,8,7]=>[5,4,7,3,8,6,1,2]=>[1,2,2,1,2]=>11010110=>5 [5,1,6,8,2,7,3,4]=>[4,8,3,1,7,2,6,5]=>[2,1,2,2,1]=>10110101=>6 [5,2,6,3,4,7,8,1]=>[4,7,3,6,5,2,1,8]=>[2,2,1,1,2]=>10101110=>5 [4,6,2,3,5,7,8,1]=>[5,3,7,6,4,2,1,8]=>[1,2,1,1,1,2]=>11011110=>3 [8,3,6,5,7,1,2,4]=>[1,6,3,4,2,8,7,5]=>[2,2,2,1,1]=>10101011=>6 [8,2,3,7,1,5,4,6]=>[1,7,6,2,8,4,5,3]=>[2,1,2,2,1]=>10110101=>6 [2,8,6,7,3,1,4,5]=>[7,1,3,2,6,8,5,4]=>[1,2,3,1,1]=>11010011=>4 [8,4,6,7,2,5,1,3]=>[1,5,3,2,7,4,8,6]=>[2,1,2,2,1]=>10110101=>6 [3,4,6,7,2,5,8,1]=>[6,5,3,2,7,4,1,8]=>[1,1,1,2,1,2]=>11110110=>3 [7,1,4,6,8,3,5,2]=>[2,8,5,3,1,6,4,7]=>[2,1,1,2,2]=>10111010=>5 [7,8,2,6,1,4,5,3]=>[2,1,7,3,8,5,4,6]=>[1,2,2,1,2]=>11010110=>5 [7,5,8,2,1,3,6,4]=>[2,4,1,7,8,6,3,5]=>[2,3,1,2]=>10100110=>5 [3,7,1,5,6,8,4,2]=>[6,2,8,4,3,1,5,7]=>[1,2,1,1,3]=>11011100=>3 [6,7,1,2,4,8,5,3]=>[3,2,8,7,5,1,4,6]=>[1,2,1,1,3]=>11011100=>3 [1,6,3,4,7,8,5,2]=>[8,3,6,5,2,1,4,7]=>[1,2,1,1,3]=>11011100=>3 [2,3,6,4,7,5,8,1]=>[7,6,3,5,2,4,1,8]=>[1,1,2,2,2]=>11101010=>5 [2,5,3,7,4,6,8,1]=>[7,4,6,2,5,3,1,8]=>[1,2,2,1,2]=>11010110=>5 [7,4,8,1,3,5,6,2]=>[2,5,1,8,6,4,3,7]=>[2,2,1,1,2]=>10101110=>5 [4,2,7,3,5,6,8,1]=>[5,7,2,6,4,3,1,8]=>[2,2,1,1,2]=>10101110=>5 [7,8,1,3,4,5,6,2]=>[2,1,8,6,5,4,3,7]=>[1,2,1,1,1,2]=>11011110=>3 [8,7,2,4,5,6,1,3]=>[1,2,7,5,4,3,8,6]=>[3,1,1,2,1]=>10011101=>4 [1,8,2,6,7,3,4,5]=>[8,1,7,3,2,6,5,4]=>[1,2,1,2,1,1]=>11011011=>4 [4,7,3,2,8,1,5,6]=>[5,2,6,7,1,8,4,3]=>[1,3,2,1,1]=>11001011=>4 [6,1,4,5,2,3,8,7]=>[3,8,5,4,7,6,1,2]=>[2,1,2,1,2]=>10110110=>5 [7,1,2,6,3,8,5,4]=>[2,8,7,3,6,1,4,5]=>[2,1,2,3]=>10110100=>5 [7,8,4,1,2,6,3,5]=>[2,1,5,8,7,3,6,4]=>[1,3,1,2,1]=>11001101=>4 [8,1,2,6,3,7,5,4]=>[1,8,7,3,6,2,4,5]=>[2,1,2,3]=>10110100=>5 [8,1,2,7,6,3,5,4]=>[1,8,7,2,3,6,4,5]=>[2,1,3,2]=>10110010=>5 [4,8,7,3,1,6,2,5]=>[5,1,2,6,8,3,7,4]=>[1,4,2,1]=>11000101=>4 [4,7,8,3,1,6,2,5]=>[5,2,1,6,8,3,7,4]=>[1,1,3,2,1]=>11100101=>4 [8,4,3,1,6,2,7,5]=>[1,5,6,8,3,7,2,4]=>[4,2,2]=>10001010=>5 [7,4,3,1,8,6,2,5]=>[2,5,6,8,1,3,7,4]=>[4,3,1]=>10001001=>4 [3,7,6,2,4,8,1,5]=>[6,2,3,7,5,1,8,4]=>[1,3,1,2,1]=>11001101=>4 [8,3,5,7,4,2,1,6]=>[1,6,4,2,5,7,8,3]=>[2,1,4,1]=>10110001=>4 [4,3,7,2,8,6,1,5]=>[5,6,2,7,1,3,8,4]=>[2,2,3,1]=>10101001=>6 [7,1,2,8,6,3,5,4]=>[2,8,7,1,3,6,4,5]=>[2,1,3,2]=>10110010=>5 [6,1,2,7,4,3,8,5]=>[3,8,7,2,5,6,1,4]=>[2,1,3,2]=>10110010=>5 [5,1,2,6,3,8,7,4]=>[4,8,7,3,6,1,2,5]=>[2,1,2,3]=>10110100=>5 [5,1,2,7,3,8,6,4]=>[4,8,7,2,6,1,3,5]=>[2,1,2,3]=>10110100=>5 [6,1,2,7,3,5,8,4]=>[3,8,7,2,6,4,1,5]=>[2,1,2,1,2]=>10110110=>5 [8,3,6,2,1,7,4,5]=>[1,6,3,7,8,2,5,4]=>[2,3,2,1]=>10100101=>6 [7,3,6,2,1,8,4,5]=>[2,6,3,7,8,1,5,4]=>[2,3,2,1]=>10100101=>6 [7,5,3,2,1,8,6,4]=>[2,4,6,7,8,1,3,5]=>[5,3]=>10000100=>3 [4,2,1,5,3,6,7,8]=>[5,7,8,4,6,3,2,1]=>[3,2,1,1,1]=>10010111=>4 [8,6,4,3,2,1,9,7,5]=>[2,4,6,7,8,9,1,3,5]=>[6,3]=>100000100=>3 [7,5,4,3,2,1,8,6,9]=>[3,5,6,7,8,9,2,4,1]=>[6,2,1]=>100000101=>4 [7,4,1,8,5,2,9,6,3]=>[3,6,9,2,5,8,1,4,7]=>[3,3,3]=>100100100=>5 [3,1,4,2,5,6,7,8,9]=>[7,9,6,8,5,4,3,2,1]=>[2,2,1,1,1,1,1]=>101011111=>4 [6,2,5,4,1,8,7,3]=>[3,7,4,5,8,1,2,6]=>[2,3,3]=>10100100=>5 [4,6,3,2,1,8,7,5]=>[5,3,6,7,8,1,2,4]=>[1,4,3]=>11000100=>3 [6,5,3,2,1,8,7,4]=>[3,4,6,7,8,1,2,5]=>[5,3]=>10000100=>3 [8,4,3,2,7,6,1,5]=>[1,5,6,7,2,3,8,4]=>[4,3,1]=>10001001=>4 [1,5,8,4,7,6,3,2]=>[8,4,1,5,2,3,6,7]=>[1,1,2,4]=>11101000=>3 [7,4,3,2,8,6,1,5]=>[2,5,6,7,1,3,8,4]=>[4,3,1]=>10001001=>4 [6,8,3,7,5,2,1,4]=>[3,1,6,2,4,7,8,5]=>[1,2,4,1]=>11010001=>4 [5,7,8,4,3,2,1,6]=>[4,2,1,5,6,7,8,3]=>[1,1,5,1]=>11100001=>2 [6,4,3,8,5,2,1,7]=>[3,5,6,1,4,7,8,2]=>[3,4,1]=>10010001=>4 [8,2,5,4,7,6,1,3]=>[1,7,4,5,2,3,8,6]=>[2,2,3,1]=>10101001=>6 [7,2,5,4,8,6,1,3]=>[2,7,4,5,1,3,8,6]=>[2,2,3,1]=>10101001=>6 [4,5,3,2,8,6,1,7]=>[5,4,6,7,1,3,8,2]=>[1,3,3,1]=>11001001=>4 [3,2,5,4,8,6,1,7]=>[6,7,4,5,1,3,8,2]=>[2,2,3,1]=>10101001=>6 [3,2,8,6,5,4,1,7]=>[6,7,1,3,4,5,8,2]=>[2,5,1]=>10100001=>4 [8,4,3,6,5,2,1,7]=>[1,5,6,3,4,7,8,2]=>[3,4,1]=>10010001=>4 [8,4,3,7,5,2,1,6]=>[1,5,6,2,4,7,8,3]=>[3,4,1]=>10010001=>4 [3,2,7,8,5,4,1,6]=>[6,7,2,1,4,5,8,3]=>[2,1,4,1]=>10110001=>4 [6,8,7,4,3,2,1,5]=>[3,1,2,5,6,7,8,4]=>[1,6,1]=>11000001=>2 [2,3,1,8,5,7,4,6]=>[7,6,8,1,4,2,5,3]=>[1,2,2,2,1]=>11010101=>6 [5,8,1,3,7,2,6,4]=>[4,1,8,6,2,7,3,5]=>[1,2,1,2,2]=>11011010=>5 [4,7,5,1,8,2,6,3]=>[5,2,4,8,1,7,3,6]=>[1,3,2,2]=>11001010=>5 [6,3,2,1,8,7,4,5]=>[3,6,7,8,1,2,5,4]=>[4,3,1]=>10001001=>4 [6,2,3,1,8,7,4,5]=>[3,7,6,8,1,2,5,4]=>[2,2,3,1]=>10101001=>6 [3,4,7,1,8,5,6,2]=>[6,5,2,8,1,4,3,7]=>[1,1,2,2,2]=>11101010=>5 [5,6,7,1,3,8,4,2]=>[4,3,2,8,6,1,5,7]=>[1,1,2,1,3]=>11101100=>3 [7,2,5,1,8,3,6,4]=>[2,7,4,8,1,6,3,5]=>[2,2,2,2]=>10101010=>7 [7,2,1,5,8,4,6,3]=>[2,7,8,4,1,5,3,6]=>[3,1,2,2]=>10011010=>5 [6,1,4,5,8,2,7,3]=>[3,8,5,4,1,7,2,6]=>[2,1,1,2,2]=>10111010=>5 [7,1,4,6,8,2,5,3]=>[2,8,5,3,1,7,4,6]=>[2,1,1,2,2]=>10111010=>5 [8,2,5,1,7,3,6,4]=>[1,7,4,8,2,6,3,5]=>[2,2,2,2]=>10101010=>7 [4,2,8,1,7,5,6,3]=>[5,7,1,8,2,4,3,6]=>[2,2,2,2]=>10101010=>7 [8,6,1,5,3,7,4,2]=>[1,3,8,4,6,2,5,7]=>[3,2,3]=>10010100=>5 [8,3,6,4,1,7,5,2]=>[1,6,3,5,8,2,4,7]=>[2,3,3]=>10100100=>5 [5,3,8,6,1,7,4,2]=>[4,6,1,3,8,2,5,7]=>[2,3,3]=>10100100=>5 [7,3,1,5,2,8,6,4]=>[2,6,8,4,7,1,3,5]=>[3,2,3]=>10010100=>5 [7,1,6,4,2,8,5,3]=>[2,8,3,5,7,1,4,6]=>[2,3,3]=>10100100=>5 [3,7,4,1,5,8,6,2]=>[6,2,5,8,4,1,3,7]=>[1,3,1,3]=>11001100=>3 [6,8,1,4,3,7,5,2]=>[3,1,8,5,6,2,4,7]=>[1,2,2,3]=>11010100=>5 [6,7,1,4,3,8,5,2]=>[3,2,8,5,6,1,4,7]=>[1,2,2,3]=>11010100=>5 [4,7,1,5,3,8,6,2]=>[5,2,8,4,6,1,3,7]=>[1,2,2,3]=>11010100=>5 [2,7,1,4,5,8,6,3]=>[7,2,8,5,4,1,3,6]=>[1,2,1,1,3]=>11011100=>3 [6,8,1,2,4,7,5,3]=>[3,1,8,7,5,2,4,6]=>[1,2,1,1,3]=>11011100=>3 [7,1,6,4,8,3,5,2]=>[2,8,3,5,1,6,4,7]=>[2,2,2,2]=>10101010=>7 [7,1,6,3,4,8,5,2]=>[2,8,3,6,5,1,4,7]=>[2,2,1,3]=>10101100=>5 [8,6,4,1,3,7,5,2]=>[1,3,5,8,6,2,4,7]=>[4,1,3]=>10001100=>3 [8,6,3,4,1,7,5,2]=>[1,3,6,5,8,2,4,7]=>[3,2,3]=>10010100=>5 [8,6,2,1,4,7,5,3]=>[1,3,7,8,5,2,4,6]=>[4,1,3]=>10001100=>3 [7,2,1,4,5,8,6,3]=>[2,7,8,5,4,1,3,6]=>[3,1,1,3]=>10011100=>3 [7,1,5,3,6,8,4,2]=>[2,8,4,6,3,1,5,7]=>[2,2,1,3]=>10101100=>5 [8,6,1,4,5,7,3,2]=>[1,3,8,5,4,2,6,7]=>[3,1,1,3]=>10011100=>3 [8,5,6,1,2,7,4,3]=>[1,4,3,8,7,2,5,6]=>[2,2,1,3]=>10101100=>5 [8,4,5,6,1,7,3,2]=>[1,5,4,3,8,2,6,7]=>[2,1,2,3]=>10110100=>5 [8,6,2,5,4,7,3,1]=>[1,3,7,4,5,2,6,8]=>[3,2,3]=>10010100=>5 [8,2,6,3,5,4,7,1]=>[1,7,3,6,4,5,2,8]=>[2,2,2,2]=>10101010=>7 [8,7,2,3,4,6,5,1]=>[1,2,7,6,5,3,4,8]=>[3,1,1,3]=>10011100=>3 [8,5,7,3,2,4,6,1]=>[1,4,2,6,7,5,3,8]=>[2,3,1,2]=>10100110=>5 [3,6,1,4,5,8,7,2]=>[6,3,8,5,4,1,2,7]=>[1,2,1,1,3]=>11011100=>3 [4,6,1,3,8,7,2,5]=>[5,3,8,6,1,2,7,4]=>[1,2,1,3,1]=>11011001=>4 [5,6,8,2,1,7,4,3]=>[4,3,1,7,8,2,5,6]=>[1,1,3,3]=>11100100=>3 [7,1,3,8,4,2,5,6]=>[2,8,6,1,5,7,4,3]=>[2,1,3,1,1]=>10110011=>4 [8,5,2,1,4,3,6,7]=>[1,4,7,8,5,6,3,2]=>[4,2,1,1]=>10001011=>4 [2,8,3,5,7,4,1,6]=>[7,1,6,4,2,5,8,3]=>[1,2,1,3,1]=>11011001=>4 [2,8,4,1,3,6,7,5]=>[7,1,5,8,6,3,2,4]=>[1,3,1,1,2]=>11001110=>3 [2,7,4,5,8,6,1,3]=>[7,2,5,4,1,3,8,6]=>[1,2,1,3,1]=>11011001=>4 [1,4,7,2,8,6,5,3]=>[8,5,2,7,1,3,4,6]=>[1,1,2,4]=>11101000=>3 [6,4,8,5,1,3,2,7]=>[3,5,1,4,8,6,7,2]=>[2,3,2,1]=>10100101=>6 [1,6,7,8,5,2,4,3]=>[8,3,2,1,4,7,5,6]=>[1,1,1,3,2]=>11110010=>3 [6,2,4,7,5,1,8,3]=>[3,7,5,2,4,8,1,6]=>[2,1,3,2]=>10110010=>5 [8,1,2,5,4,7,6,3]=>[1,8,7,4,5,2,3,6]=>[2,1,2,3]=>10110100=>5 [8,1,2,4,5,6,7,3]=>[1,8,7,5,4,3,2,6]=>[2,1,1,1,1,2]=>10111110=>3 [8,2,7,3,5,6,1,4]=>[1,7,2,6,4,3,8,5]=>[2,2,1,2,1]=>10101101=>6 [7,1,3,4,2,8,6,5]=>[2,8,6,5,7,1,3,4]=>[2,1,2,3]=>10110100=>5 [6,1,4,3,2,7,8,5]=>[3,8,5,6,7,2,1,4]=>[2,3,1,2]=>10100110=>5 [6,1,5,2,3,8,7,4]=>[3,8,4,7,6,1,2,5]=>[2,2,1,3]=>10101100=>5 [8,7,5,3,1,6,2,4]=>[1,2,4,6,8,3,7,5]=>[5,2,1]=>10000101=>4 [8,5,6,3,2,1,7,4]=>[1,4,3,6,7,8,2,5]=>[2,4,2]=>10100010=>5 [1,8,3,6,7,2,4,5]=>[8,1,6,3,2,7,5,4]=>[1,2,1,2,1,1]=>11011011=>4 [3,1,8,6,4,2,5,7]=>[6,8,1,3,5,7,4,2]=>[2,4,1,1]=>10100011=>4 [1,2,8,3,7,4,6,5]=>[8,7,1,6,2,5,3,4]=>[1,1,2,2,2]=>11101010=>5 [8,1,3,7,4,5,2,6]=>[1,8,6,2,5,4,7,3]=>[2,1,2,2,1]=>10110101=>6 [8,2,1,3,7,5,4,6]=>[1,7,8,6,2,4,5,3]=>[3,1,3,1]=>10011001=>4 [1,7,2,3,4,5,6,8,9]=>[9,3,8,7,6,5,4,2,1]=>[1,2,1,1,1,1,1,1]=>110111111=>2 [8,2,7,4,3,5,6,1]=>[1,7,2,5,6,4,3,8]=>[2,3,1,2]=>10100110=>5 [8,2,6,5,4,3,1,7]=>[1,7,3,4,5,6,8,2]=>[2,5,1]=>10100001=>4 [8,2,7,6,4,5,3,1]=>[1,7,2,3,5,4,6,8]=>[2,3,3]=>10100100=>5 [8,6,3,5,4,2,1,7]=>[1,3,6,4,5,7,8,2]=>[3,4,1]=>10010001=>4 [4,6,7,2,1,8,3,5]=>[5,3,2,7,8,1,6,4]=>[1,1,3,2,1]=>11100101=>4 [4,5,8,1,3,6,7,2]=>[5,4,1,8,6,3,2,7]=>[1,1,2,1,1,2]=>11101110=>3 [3,7,1,8,2,5,4,6]=>[6,2,8,1,7,4,5,3]=>[1,2,2,2,1]=>11010101=>6 [4,5,8,6,1,3,7,2]=>[5,4,1,3,8,6,2,7]=>[1,1,3,1,2]=>11100110=>3 [4,5,8,6,2,7,3,1]=>[5,4,1,3,7,2,6,8]=>[1,1,3,3]=>11100100=>3 [4,6,7,1,5,3,8,2]=>[5,3,2,8,4,6,1,7]=>[1,1,2,2,2]=>11101010=>5 [4,6,7,2,1,8,5,3]=>[5,3,2,7,8,1,4,6]=>[1,1,3,3]=>11100100=>3 [4,1,3,5,6,7,8,2]=>[5,8,6,4,3,2,1,7]=>[2,1,1,1,1,2]=>10111110=>3 [3,7,8,4,5,1,6,2]=>[6,2,1,5,4,8,3,7]=>[1,1,2,2,2]=>11101010=>5 [4,6,8,3,2,7,1,5]=>[5,3,1,6,7,2,8,4]=>[1,1,3,2,1]=>11100101=>4 [4,6,8,2,3,7,1,5]=>[5,3,1,7,6,2,8,4]=>[1,1,2,1,2,1]=>11101101=>4 [4,5,8,3,7,1,2,6]=>[5,4,1,6,2,8,7,3]=>[1,1,2,2,1,1]=>11101011=>4 [4,6,7,1,5,8,2,3]=>[5,3,2,8,4,1,7,6]=>[1,1,2,1,2,1]=>11101101=>4 [3,7,8,4,6,2,5,1]=>[6,2,1,5,3,7,4,8]=>[1,1,2,2,2]=>11101010=>5 [3,6,1,5,7,8,2,4]=>[6,3,8,4,2,1,7,5]=>[1,2,1,1,2,1]=>11011101=>4 [3,8,2,5,4,7,1,6]=>[6,1,7,4,5,2,8,3]=>[1,2,2,2,1]=>11010101=>6 [3,8,6,2,5,1,7,4]=>[6,1,3,7,4,8,2,5]=>[1,3,2,2]=>11001010=>5 [4,5,8,6,2,1,7,3]=>[5,4,1,3,7,8,2,6]=>[1,1,4,2]=>11100010=>3 [4,6,8,5,2,7,1,3]=>[5,3,1,4,7,2,8,6]=>[1,1,3,2,1]=>11100101=>4 [3,7,8,5,2,6,1,4]=>[6,2,1,4,7,3,8,5]=>[1,1,3,2,1]=>11100101=>4 [3,7,8,5,4,1,6,2]=>[6,2,1,4,5,8,3,7]=>[1,1,4,2]=>11100010=>3 [4,6,8,5,3,1,7,2]=>[5,3,1,4,6,8,2,7]=>[1,1,4,2]=>11100010=>3 [7,8,2,3,5,4,1,6]=>[2,1,7,6,4,5,8,3]=>[1,2,1,3,1]=>11011001=>4 [6,3,2,4,7,8,1,5]=>[3,6,7,5,2,1,8,4]=>[3,1,1,2,1]=>10011101=>4 [2,8,1,5,7,4,6,3]=>[7,1,8,4,2,5,3,6]=>[1,2,1,2,2]=>11011010=>5 [5,1,3,2,6,7,4,8]=>[4,8,6,7,3,2,5,1]=>[2,2,1,2,1]=>10101101=>6 [6,7,2,4,8,3,1,5]=>[3,2,7,5,1,6,8,4]=>[1,2,1,3,1]=>11011001=>4 [6,3,4,5,2,8,1,7]=>[3,6,5,4,7,1,8,2]=>[2,1,2,2,1]=>10110101=>6 [4,5,6,8,3,7,1,2]=>[5,4,3,1,6,2,8,7]=>[1,1,1,2,2,1]=>11110101=>4 [4,1,3,5,2,6,7,8]=>[5,8,6,4,7,3,2,1]=>[2,1,2,1,1,1]=>10110111=>4 [4,3,8,5,7,1,2,6]=>[5,6,1,4,2,8,7,3]=>[2,2,2,1,1]=>10101011=>6 [5,1,3,7,6,4,8,2]=>[4,8,6,2,3,5,1,7]=>[2,1,3,2]=>10110010=>5 [4,6,5,1,7,3,2,8]=>[5,3,4,8,2,6,7,1]=>[1,3,3,1]=>11001001=>4 [1,6,5,2,3,4,8,7]=>[8,3,4,7,6,5,1,2]=>[1,3,1,1,2]=>11001110=>3 [1,6,5,3,4,2,8,7]=>[8,3,4,6,5,7,1,2]=>[1,3,2,2]=>11001010=>5 [4,6,5,1,7,3,8,2]=>[5,3,4,8,2,6,1,7]=>[1,3,2,2]=>11001010=>5 [6,7,1,4,8,5,2,3]=>[3,2,8,5,1,4,7,6]=>[1,2,1,3,1]=>11011001=>4 [5,8,3,2,1,4,6,7]=>[4,1,6,7,8,5,3,2]=>[1,4,1,1,1]=>11000111=>2 [5,1,3,7,4,8,6,2]=>[4,8,6,2,5,1,3,7]=>[2,1,2,3]=>10110100=>5 [6,3,1,7,2,5,8,4]=>[3,6,8,2,7,4,1,5]=>[3,2,1,2]=>10010110=>5 [4,2,3,7,1,5,6,8]=>[5,7,6,2,8,4,3,1]=>[2,1,2,1,1,1]=>10110111=>4 [3,8,1,6,7,2,5,4]=>[6,1,8,3,2,7,4,5]=>[1,2,1,2,2]=>11011010=>5 [4,5,7,6,3,8,1,2]=>[5,4,2,3,6,1,8,7]=>[1,1,3,2,1]=>11100101=>4 [3,7,2,8,5,1,4,6]=>[6,2,7,1,4,8,5,3]=>[1,2,3,1,1]=>11010011=>4 [1,6,5,3,7,8,2,4]=>[8,3,4,6,2,1,7,5]=>[1,3,1,2,1]=>11001101=>4 [3,6,5,2,4,7,1,8]=>[6,3,4,7,5,2,8,1]=>[1,3,1,2,1]=>11001101=>4 [2,6,5,1,4,3,7,8]=>[7,3,4,8,5,6,2,1]=>[1,3,2,1,1]=>11001011=>4 [3,6,5,8,1,7,2,4]=>[6,3,4,1,8,2,7,5]=>[1,2,2,2,1]=>11010101=>6 [1,6,5,3,7,8,4,2]=>[8,3,4,6,2,1,5,7]=>[1,3,1,3]=>11001100=>3 [2,6,5,8,4,1,7,3]=>[7,3,4,1,5,8,2,6]=>[1,2,3,2]=>11010010=>5 [1,2,3,4,5,6,8,7,9]=>[9,8,7,6,5,4,2,3,1]=>[1,1,1,1,1,1,2,1]=>111111101=>2 [2,3,5,1,8,6,4,7]=>[7,6,4,8,1,3,5,2]=>[1,1,2,3,1]=>11101001=>4 [2,5,3,8,4,6,1,7]=>[7,4,6,1,5,3,8,2]=>[1,2,2,2,1]=>11010101=>6 [5,2,7,3,4,6,1,8]=>[4,7,2,6,5,3,8,1]=>[2,2,1,2,1]=>10101101=>6 [1,4,5,2,8,6,3,7]=>[8,5,4,7,1,3,6,2]=>[1,1,2,3,1]=>11101001=>4 [1,3,5,8,6,4,7,2]=>[8,6,4,1,3,5,2,7]=>[1,1,1,3,2]=>11110010=>3 [1,3,5,8,6,7,2,4]=>[8,6,4,1,3,2,7,5]=>[1,1,1,2,2,1]=>11110101=>4 [6,1,7,4,8,5,3,2]=>[3,8,2,5,1,4,6,7]=>[2,2,4]=>10101000=>5 [5,7,4,1,3,6,8,2]=>[4,2,5,8,6,3,1,7]=>[1,3,1,1,2]=>11001110=>3 [8,4,5,1,3,7,2,6]=>[1,5,4,8,6,2,7,3]=>[2,2,1,2,1]=>10101101=>6 [7,4,3,1,6,5,8,2]=>[2,5,6,8,3,4,1,7]=>[4,2,2]=>10001010=>5 [8,6,1,7,5,3,2,4]=>[1,3,8,2,4,6,7,5]=>[3,4,1]=>10010001=>4 [7,8,1,4,6,5,3,2]=>[2,1,8,5,3,4,6,7]=>[1,2,1,4]=>11011000=>3 [7,8,6,1,4,5,3,2]=>[2,1,3,8,5,4,6,7]=>[1,3,1,3]=>11001100=>3 [5,1,7,6,3,4,2,8]=>[4,8,2,3,6,5,7,1]=>[2,3,2,1]=>10100101=>6 [6,2,7,3,8,5,4,1]=>[3,7,2,6,1,4,5,8]=>[2,2,4]=>10101000=>5 [6,7,3,4,8,1,5,2]=>[3,2,6,5,1,8,4,7]=>[1,2,1,2,2]=>11011010=>5 [7,2,8,3,6,4,5,1]=>[2,7,1,6,3,5,4,8]=>[2,2,2,2]=>10101010=>7 [2,7,3,5,1,8,4,6]=>[7,2,6,4,8,1,5,3]=>[1,2,2,2,1]=>11010101=>6 [1,7,8,2,5,3,4,6]=>[8,2,1,7,4,6,5,3]=>[1,1,2,2,1,1]=>11101011=>4 [1,2,8,7,3,4,6,5]=>[8,7,1,2,6,5,3,4]=>[1,1,3,1,2]=>11100110=>3 [8,7,6,2,4,3,5,1]=>[1,2,3,7,5,6,4,8]=>[4,2,2]=>10001010=>5 [8,2,7,4,5,1,6,3]=>[1,7,2,5,4,8,3,6]=>[2,2,2,2]=>10101010=>7 [8,1,2,7,4,3,5,6]=>[1,8,7,2,5,6,4,3]=>[2,1,3,1,1]=>10110011=>4 [3,8,1,5,7,2,6,4]=>[6,1,8,4,2,7,3,5]=>[1,2,1,2,2]=>11011010=>5 [7,5,4,8,6,1,2,3]=>[2,4,5,1,3,8,7,6]=>[3,3,1,1]=>10010011=>4 [7,1,8,6,4,5,2,3]=>[2,8,1,3,5,4,7,6]=>[2,3,2,1]=>10100101=>6 [1,5,7,8,3,4,2,6]=>[8,4,2,1,6,5,7,3]=>[1,1,1,2,2,1]=>11110101=>4 [2,6,8,1,4,5,3,7]=>[7,3,1,8,5,4,6,2]=>[1,1,2,1,2,1]=>11101101=>4 [6,8,4,3,1,7,2,5]=>[3,1,5,6,8,2,7,4]=>[1,4,2,1]=>11000101=>4 [8,4,1,3,7,5,6,2]=>[1,5,8,6,2,4,3,7]=>[3,1,2,2]=>10011010=>5 [4,8,1,3,7,5,6,2]=>[5,1,8,6,2,4,3,7]=>[1,2,1,2,2]=>11011010=>5 [7,5,4,3,1,2,8,6]=>[2,4,5,6,8,7,1,3]=>[5,1,2]=>10000110=>3 [6,2,5,4,8,1,7,3]=>[3,7,4,5,1,8,2,6]=>[2,2,2,2]=>10101010=>7 [1,8,5,7,4,2,3,6]=>[8,1,4,2,5,7,6,3]=>[1,2,3,1,1]=>11010011=>4 [2,1,6,8,5,3,4,7]=>[7,8,3,1,4,6,5,2]=>[2,1,3,1,1]=>10110011=>4 [5,4,1,3,8,6,7,2]=>[4,5,8,6,1,3,2,7]=>[3,1,2,2]=>10011010=>5 [4,5,1,3,8,6,7,2]=>[5,4,8,6,1,3,2,7]=>[1,2,1,2,2]=>11011010=>5 [1,2,6,8,5,3,4,7]=>[8,7,3,1,4,6,5,2]=>[1,1,1,3,1,1]=>11110011=>2 [5,6,8,3,7,1,2,4]=>[4,3,1,6,2,8,7,5]=>[1,1,2,2,1,1]=>11101011=>4 [5,6,8,7,3,1,2,4]=>[4,3,1,2,6,8,7,5]=>[1,1,4,1,1]=>11100011=>2 [6,7,5,3,8,1,2,4]=>[3,2,4,6,1,8,7,5]=>[1,3,2,1,1]=>11001011=>4 [6,2,3,4,7,1,8,5]=>[3,7,6,5,2,8,1,4]=>[2,1,1,2,2]=>10111010=>5 [5,4,1,2,6,8,7,3]=>[4,5,8,7,3,1,2,6]=>[3,1,1,3]=>10011100=>3 [8,5,7,6,3,1,2,4]=>[1,4,2,3,6,8,7,5]=>[2,4,1,1]=>10100011=>4 [6,8,5,7,3,1,2,4]=>[3,1,4,2,6,8,7,5]=>[1,2,3,1,1]=>11010011=>4 [5,7,8,6,3,1,2,4]=>[4,2,1,3,6,8,7,5]=>[1,1,4,1,1]=>11100011=>2 [5,1,4,2,6,8,7,3]=>[4,8,5,7,3,1,2,6]=>[2,2,1,3]=>10101100=>5 [6,3,2,4,7,1,8,5]=>[3,6,7,5,2,8,1,4]=>[3,1,2,2]=>10011010=>5 [1,5,6,8,4,2,3,7]=>[8,4,3,1,5,7,6,2]=>[1,1,1,3,1,1]=>11110011=>2 [5,7,8,3,6,1,2,4]=>[4,2,1,6,3,8,7,5]=>[1,1,2,2,1,1]=>11101011=>4 [8,4,1,2,5,7,6,3]=>[1,5,8,7,4,2,3,6]=>[3,1,1,3]=>10011100=>3 [4,8,1,2,5,7,6,3]=>[5,1,8,7,4,2,3,6]=>[1,2,1,1,3]=>11011100=>3 [1,5,8,6,2,4,3,7]=>[8,4,1,3,7,5,6,2]=>[1,1,3,2,1]=>11100101=>4 [1,5,3,7,2,6,8,4]=>[8,4,6,2,7,3,1,5]=>[1,2,2,1,2]=>11010110=>5 [5,1,8,6,2,4,3,7]=>[4,8,1,3,7,5,6,2]=>[2,3,2,1]=>10100101=>6 [8,5,6,3,7,1,2,4]=>[1,4,3,6,2,8,7,5]=>[2,2,2,1,1]=>10101011=>6 [1,5,2,4,8,6,7,3]=>[8,4,7,5,1,3,2,6]=>[1,2,1,2,2]=>11011010=>5 [1,5,4,2,6,8,7,3]=>[8,4,5,7,3,1,2,6]=>[1,3,1,3]=>11001100=>3 [5,7,6,8,3,1,2,4]=>[4,2,3,1,6,8,7,5]=>[1,2,3,1,1]=>11010011=>4 [6,8,7,5,3,1,2,4]=>[3,1,2,4,6,8,7,5]=>[1,5,1,1]=>11000011=>2 [6,5,7,3,8,1,2,4]=>[3,4,2,6,1,8,7,5]=>[2,2,2,1,1]=>10101011=>6 [6,8,7,2,1,5,3,4]=>[3,1,2,7,8,4,6,5]=>[1,4,2,1]=>11000101=>4 [7,3,6,1,4,8,2,5]=>[2,6,3,8,5,1,7,4]=>[2,2,1,2,1]=>10101101=>6 [8,7,3,2,1,4,6,5]=>[1,2,6,7,8,5,3,4]=>[5,1,2]=>10000110=>3 [6,7,5,1,8,4,2,3]=>[3,2,4,8,1,5,7,6]=>[1,3,3,1]=>11001001=>4 [8,2,6,1,7,5,3,4]=>[1,7,3,8,2,4,6,5]=>[2,2,3,1]=>10101001=>6 [3,8,4,2,6,1,7,5]=>[6,1,5,7,3,8,2,4]=>[1,3,2,2]=>11001010=>5 [3,5,6,8,4,2,7,1]=>[6,4,3,1,5,7,2,8]=>[1,1,1,3,2]=>11110010=>3 [2,8,6,3,4,1,7,5]=>[7,1,3,6,5,8,2,4]=>[1,3,2,2]=>11001010=>5 [4,3,6,2,8,5,7,1]=>[5,6,3,7,1,4,2,8]=>[2,2,2,2]=>10101010=>7 [4,6,8,2,1,3,7,5]=>[5,3,1,7,8,6,2,4]=>[1,1,3,1,2]=>11100110=>3 [6,8,1,5,3,2,7,4]=>[3,1,8,4,6,7,2,5]=>[1,2,3,2]=>11010010=>5 [1,7,2,3,5,8,6,4]=>[8,2,7,6,4,1,3,5]=>[1,2,1,1,3]=>11011100=>3 [4,6,2,3,5,1,7,8]=>[5,3,7,6,4,8,2,1]=>[1,2,1,2,1,1]=>11011011=>4 [2,8,3,7,5,1,6,4]=>[7,1,6,2,4,8,3,5]=>[1,2,3,2]=>11010010=>5 [4,1,8,6,5,2,7,3]=>[5,8,1,3,4,7,2,6]=>[2,4,2]=>10100010=>5 [6,4,8,7,2,1,5,3]=>[3,5,1,2,7,8,4,6]=>[2,4,2]=>10100010=>5 [2,8,5,4,1,6,7,3]=>[7,1,4,5,8,3,2,6]=>[1,4,1,2]=>11000110=>3 [4,5,7,3,2,1,6,8]=>[5,4,2,6,7,8,3,1]=>[1,1,4,1,1]=>11100011=>2 [3,2,8,1,6,7,5,4]=>[6,7,1,8,3,2,4,5]=>[2,2,1,3]=>10101100=>5 [1,8,2,3,7,5,6,4]=>[8,1,7,6,2,4,3,5]=>[1,2,1,2,2]=>11011010=>5 [7,2,4,6,3,8,1,5]=>[2,7,5,3,6,1,8,4]=>[2,1,2,2,1]=>10110101=>6 [2,8,3,1,4,7,6,5]=>[7,1,6,8,5,2,3,4]=>[1,3,1,3]=>11001100=>3 [2,8,4,3,6,7,1,5]=>[7,1,5,6,3,2,8,4]=>[1,3,1,2,1]=>11001101=>4 [6,4,7,2,8,3,5,1]=>[3,5,2,7,1,6,4,8]=>[2,2,2,2]=>10101010=>7 [3,8,1,6,4,7,2,5]=>[6,1,8,3,5,2,7,4]=>[1,2,2,2,1]=>11010101=>6 [7,3,2,5,6,1,8,4]=>[2,6,7,4,3,8,1,5]=>[3,1,2,2]=>10011010=>5 [4,1,2,8,5,3,7,6]=>[5,8,7,1,4,6,2,3]=>[2,1,3,2]=>10110010=>5 [3,8,4,2,5,1,7,6]=>[6,1,5,7,4,8,2,3]=>[1,3,2,2]=>11001010=>5 [3,8,4,2,7,5,6,1]=>[6,1,5,7,2,4,3,8]=>[1,3,2,2]=>11001010=>5 [1,5,6,3,7,4,8,2]=>[8,4,3,6,2,5,1,7]=>[1,1,2,2,2]=>11101010=>5 [1,8,5,6,4,3,2,7]=>[8,1,4,3,5,6,7,2]=>[1,2,4,1]=>11010001=>4 [2,8,3,5,6,4,1,7]=>[7,1,6,4,3,5,8,2]=>[1,2,1,3,1]=>11011001=>4 [4,1,5,7,6,8,2,3]=>[5,8,4,2,3,1,7,6]=>[2,1,2,2,1]=>10110101=>6 [7,6,8,3,2,5,1,4]=>[2,3,1,6,7,4,8,5]=>[2,3,2,1]=>10100101=>6 [4,6,1,7,5,2,3,8]=>[5,3,8,2,4,7,6,1]=>[1,2,3,1,1]=>11010011=>4 [3,1,7,2,6,5,4,8]=>[6,8,2,7,3,4,5,1]=>[2,2,3,1]=>10101001=>6 [5,6,4,7,2,1,8,3]=>[4,3,5,2,7,8,1,6]=>[1,2,3,2]=>11010010=>5 [2,8,7,1,3,6,5,4]=>[7,1,2,8,6,3,4,5]=>[1,3,1,3]=>11001100=>3 [5,7,2,8,3,1,6,4]=>[4,2,7,1,6,8,3,5]=>[1,2,3,2]=>11010010=>5 [2,7,8,1,6,4,5,3]=>[7,2,1,8,3,5,4,6]=>[1,1,2,2,2]=>11101010=>5 [7,8,1,3,4,6,5,2]=>[2,1,8,6,5,3,4,7]=>[1,2,1,1,3]=>11011100=>3 [2,7,1,4,5,3,8,6]=>[7,2,8,5,4,6,1,3]=>[1,2,1,2,2]=>11011010=>5 [1,5,2,7,4,3,6,8]=>[8,4,7,2,5,6,3,1]=>[1,2,3,1,1]=>11010011=>4 [5,1,3,8,4,6,2,7]=>[4,8,6,1,5,3,7,2]=>[2,1,2,2,1]=>10110101=>6 [6,5,8,7,1,3,2,4]=>[3,4,1,2,8,6,7,5]=>[2,3,2,1]=>10100101=>6 [2,7,3,5,1,6,8,4]=>[7,2,6,4,8,3,1,5]=>[1,2,2,1,2]=>11010110=>5 [5,7,6,8,2,1,4,3]=>[4,2,3,1,7,8,5,6]=>[1,2,3,2]=>11010010=>5 [1,3,6,5,2,7,4,8]=>[8,6,3,4,7,2,5,1]=>[1,1,3,2,1]=>11100101=>4 [1,2,6,5,3,4,7,8]=>[8,7,3,4,6,5,2,1]=>[1,1,3,1,1,1]=>11100111=>2 [1,7,2,4,8,3,5,6]=>[8,2,7,5,1,6,4,3]=>[1,2,1,2,1,1]=>11011011=>4 [1,6,2,4,5,3,7,8]=>[8,3,7,5,4,6,2,1]=>[1,2,1,2,1,1]=>11011011=>4 [1,4,8,2,3,7,5,6]=>[8,5,1,7,6,2,4,3]=>[1,1,2,1,2,1]=>11101101=>4 [1,3,2,8,4,5,7,6]=>[8,6,7,1,5,4,2,3]=>[1,2,2,1,2]=>11010110=>5 [1,6,8,2,4,3,5,7]=>[8,3,1,7,5,6,4,2]=>[1,1,2,2,1,1]=>11101011=>4 [1,6,7,2,5,3,4,8]=>[8,3,2,7,4,6,5,1]=>[1,1,2,2,1,1]=>11101011=>4 [1,5,8,2,6,7,3,4]=>[8,4,1,7,3,2,6,5]=>[1,1,2,1,2,1]=>11101101=>4 [1,8,2,3,6,7,4,5]=>[8,1,7,6,3,2,5,4]=>[1,2,1,1,2,1]=>11011101=>4 [1,2,8,3,6,7,4,5]=>[8,7,1,6,3,2,5,4]=>[1,1,2,1,2,1]=>11101101=>4 [1,3,4,8,2,6,7,5]=>[8,6,5,1,7,3,2,4]=>[1,1,1,2,1,2]=>11110110=>3 [1,7,2,5,3,4,8,6]=>[8,2,7,4,6,5,1,3]=>[1,2,2,1,2]=>11010110=>5 [1,6,2,3,5,4,7,8]=>[8,3,7,6,4,5,2,1]=>[1,2,1,2,1,1]=>11011011=>4 [7,1,5,6,2,3,8,4]=>[2,8,4,3,7,6,1,5]=>[2,1,2,1,2]=>10110110=>5 [8,2,1,4,6,7,3,5]=>[1,7,8,5,3,2,6,4]=>[3,1,1,2,1]=>10011101=>4 [7,2,6,1,3,4,8,5]=>[2,7,3,8,6,5,1,4]=>[2,2,1,1,2]=>10101110=>5 [4,1,3,7,2,5,8,6]=>[5,8,6,2,7,4,1,3]=>[2,1,2,1,2]=>10110110=>5 [6,2,7,5,1,3,8,4]=>[3,7,2,4,8,6,1,5]=>[2,3,1,2]=>10100110=>5 [1,7,5,6,2,3,8,4]=>[8,2,4,3,7,6,1,5]=>[1,2,2,1,2]=>11010110=>5 [3,7,6,1,2,4,8,5]=>[6,2,3,8,7,5,1,4]=>[1,3,1,1,2]=>11001110=>3 [8,6,1,3,5,7,2,4]=>[1,3,8,6,4,2,7,5]=>[3,1,1,2,1]=>10011101=>4 [1,7,4,3,8,2,5,6]=>[8,2,5,6,1,7,4,3]=>[1,3,2,1,1]=>11001011=>4 [6,1,5,3,4,8,2,7]=>[3,8,4,6,5,1,7,2]=>[2,2,1,2,1]=>10101101=>6 [3,6,7,5,2,8,1,4]=>[6,3,2,4,7,1,8,5]=>[1,1,3,2,1]=>11100101=>4 [7,8,4,1,5,6,2,3]=>[2,1,5,8,4,3,7,6]=>[1,3,1,2,1]=>11001101=>4 [5,8,1,3,6,7,2,4]=>[4,1,8,6,3,2,7,5]=>[1,2,1,1,2,1]=>11011101=>4 [6,3,8,4,7,1,2,5]=>[3,6,1,5,2,8,7,4]=>[2,2,2,1,1]=>10101011=>6 [1,2,5,4,8,3,6,7]=>[8,7,4,5,1,6,3,2]=>[1,1,2,2,1,1]=>11101011=>4 [7,1,3,8,2,4,5,6]=>[2,8,6,1,7,5,4,3]=>[2,1,2,1,1,1]=>10110111=>4 [3,5,4,7,8,1,2,6]=>[6,4,5,2,1,8,7,3]=>[1,2,1,2,1,1]=>11011011=>4 [8,3,1,4,7,2,5,6]=>[1,6,8,5,2,7,4,3]=>[3,1,2,1,1]=>10011011=>4 [1,3,7,8,5,6,2,4]=>[8,6,2,1,4,3,7,5]=>[1,1,1,2,2,1]=>11110101=>4 [8,2,6,7,5,1,3,4]=>[1,7,3,2,4,8,6,5]=>[2,1,3,1,1]=>10110011=>4 [8,1,7,4,6,2,3,5]=>[1,8,2,5,3,7,6,4]=>[2,2,2,1,1]=>10101011=>6 [2,5,8,4,7,1,3,6]=>[7,4,1,5,2,8,6,3]=>[1,1,2,2,1,1]=>11101011=>4 [4,5,8,7,1,2,3,6]=>[5,4,1,2,8,7,6,3]=>[1,1,3,1,1,1]=>11100111=>2 [1,8,7,4,6,2,3,5]=>[8,1,2,5,3,7,6,4]=>[1,3,2,1,1]=>11001011=>4 [2,6,5,4,1,8,3,7]=>[7,3,4,5,8,1,6,2]=>[1,4,2,1]=>11000101=>4 [6,2,5,1,4,8,3,7]=>[3,7,4,8,5,1,6,2]=>[2,2,1,2,1]=>10101101=>6 [6,5,4,1,3,8,2,7]=>[3,4,5,8,6,1,7,2]=>[4,1,2,1]=>10001101=>4 [6,3,5,4,2,8,1,7]=>[3,6,4,5,7,1,8,2]=>[2,3,2,1]=>10100101=>6 [1,3,8,7,4,2,6,5]=>[8,6,1,2,5,7,3,4]=>[1,1,4,2]=>11100010=>3 [8,7,4,3,1,5,2,6]=>[1,2,5,6,8,4,7,3]=>[5,2,1]=>10000101=>4 [8,2,5,1,4,6,7,3]=>[1,7,4,8,5,3,2,6]=>[2,2,1,1,2]=>10101110=>5 [3,8,4,5,1,6,7,2]=>[6,1,5,4,8,3,2,7]=>[1,2,2,1,2]=>11010110=>5 [8,5,4,1,3,6,7,2]=>[1,4,5,8,6,3,2,7]=>[4,1,1,2]=>10001110=>3 [8,3,1,7,5,6,4,2]=>[1,6,8,2,4,3,5,7]=>[3,2,3]=>10010100=>5 [8,4,7,6,5,3,1,2]=>[1,5,2,3,4,6,8,7]=>[2,5,1]=>10100001=>4 [8,1,4,5,7,6,3,2]=>[1,8,5,4,2,3,6,7]=>[2,1,1,4]=>10111000=>3 [2,4,1,8,5,7,6,3]=>[7,5,8,1,4,2,3,6]=>[1,2,2,3]=>11010100=>5 [8,3,1,7,4,2,6,5]=>[1,6,8,2,5,7,3,4]=>[3,3,2]=>10010010=>5 [8,2,7,3,1,6,5,4]=>[1,7,2,6,8,3,4,5]=>[2,3,3]=>10100100=>5 [1,8,4,2,3,7,6,5]=>[8,1,5,7,6,2,3,4]=>[1,3,1,3]=>11001100=>3 [3,1,2,8,7,4,6,5]=>[6,8,7,1,2,5,3,4]=>[2,1,3,2]=>10110010=>5 [2,8,3,7,4,1,6,5]=>[7,1,6,2,5,8,3,4]=>[1,2,3,2]=>11010010=>5 [8,4,5,7,6,2,3,1]=>[1,5,4,2,3,7,6,8]=>[2,1,3,2]=>10110010=>5 [2,3,1,8,7,6,4,5]=>[7,6,8,1,2,3,5,4]=>[1,2,4,1]=>11010001=>4 [4,2,8,7,3,1,5,6]=>[5,7,1,2,6,8,4,3]=>[2,4,1,1]=>10100011=>4 [1,3,4,8,7,2,5,6]=>[8,6,5,1,2,7,4,3]=>[1,1,1,3,1,1]=>11110011=>2 [8,1,3,4,6,7,2,5]=>[1,8,6,5,3,2,7,4]=>[2,1,1,1,2,1]=>10111101=>4 [3,4,8,2,6,7,1,5]=>[6,5,1,7,3,2,8,4]=>[1,1,2,1,2,1]=>11101101=>4 [3,6,8,2,5,1,7,4]=>[6,3,1,7,4,8,2,5]=>[1,1,2,2,2]=>11101010=>5 [3,8,2,5,7,4,6,1]=>[6,1,7,4,2,5,3,8]=>[1,2,1,2,2]=>11011010=>5 [8,4,2,1,7,5,6,3]=>[1,5,7,8,2,4,3,6]=>[4,2,2]=>10001010=>5 [8,2,7,5,6,4,1,3]=>[1,7,2,4,3,5,8,6]=>[2,2,3,1]=>10101001=>6 [6,8,5,4,1,7,2,3]=>[3,1,4,5,8,2,7,6]=>[1,4,2,1]=>11000101=>4 [2,8,1,5,7,6,3,4]=>[7,1,8,4,2,3,6,5]=>[1,2,1,3,1]=>11011001=>4 [3,1,8,2,7,5,6,4]=>[6,8,1,7,2,4,3,5]=>[2,2,2,2]=>10101010=>7 [8,5,7,1,6,4,2,3]=>[1,4,2,8,3,5,7,6]=>[2,2,3,1]=>10101001=>6 [2,8,4,7,3,6,5,1]=>[7,1,5,2,6,3,4,8]=>[1,2,2,3]=>11010100=>5 [8,4,7,2,1,6,5,3]=>[1,5,2,7,8,3,4,6]=>[2,3,3]=>10100100=>5 [1,8,4,7,6,5,2,3]=>[8,1,5,2,3,4,7,6]=>[1,2,4,1]=>11010001=>4 [3,5,8,1,7,4,6,2]=>[6,4,1,8,2,5,3,7]=>[1,1,2,2,2]=>11101010=>5 [8,4,7,1,3,6,5,2]=>[1,5,2,8,6,3,4,7]=>[2,2,1,3]=>10101100=>5 [3,1,6,2,5,7,4,8]=>[6,8,3,7,4,2,5,1]=>[2,2,1,2,1]=>10101101=>6 [3,7,1,2,8,6,4,5]=>[6,2,8,7,1,3,5,4]=>[1,2,1,3,1]=>11011001=>4 [3,8,1,2,5,6,4,7]=>[6,1,8,7,4,3,5,2]=>[1,2,1,1,2,1]=>11011101=>4 [3,7,1,2,5,6,4,8]=>[6,2,8,7,4,3,5,1]=>[1,2,1,1,2,1]=>11011101=>4 [8,5,2,1,4,6,7,3]=>[1,4,7,8,5,3,2,6]=>[4,1,1,2]=>10001110=>3 [4,2,6,3,8,5,7,1]=>[5,7,3,6,1,4,2,8]=>[2,2,2,2]=>10101010=>7 [2,7,3,1,6,5,8,4]=>[7,2,6,8,3,4,1,5]=>[1,3,2,2]=>11001010=>5 [7,1,2,4,6,5,8,3]=>[2,8,7,5,3,4,1,6]=>[2,1,1,2,2]=>10111010=>5 [4,5,2,6,7,1,8,3]=>[5,4,7,3,2,8,1,6]=>[1,2,1,2,2]=>11011010=>5 [5,7,1,2,6,8,4,3]=>[4,2,8,7,3,1,5,6]=>[1,2,1,1,3]=>11011100=>3 [5,8,2,6,4,1,7,3]=>[4,1,7,3,5,8,2,6]=>[1,2,3,2]=>11010010=>5 [4,2,8,3,5,6,7,1]=>[5,7,1,6,4,3,2,8]=>[2,2,1,1,2]=>10101110=>5 [8,7,3,4,1,6,2,5]=>[1,2,6,5,8,3,7,4]=>[3,2,2,1]=>10010101=>6 [2,7,4,3,8,6,1,5]=>[7,2,5,6,1,3,8,4]=>[1,3,3,1]=>11001001=>4 [2,7,6,3,1,5,4,8]=>[7,2,3,6,8,4,5,1]=>[1,4,2,1]=>11000101=>4 [2,7,4,1,6,3,5,8]=>[7,2,5,8,3,6,4,1]=>[1,3,2,1,1]=>11001011=>4 [3,7,4,2,8,1,6,5]=>[6,2,5,7,1,8,3,4]=>[1,3,2,2]=>11001010=>5 [7,4,3,5,2,1,8,6]=>[2,5,6,4,7,8,1,3]=>[3,3,2]=>10010010=>5 [8,3,5,4,2,7,1,6]=>[1,6,4,5,7,2,8,3]=>[2,3,2,1]=>10100101=>6 [2,8,6,4,7,3,1,5]=>[7,1,3,5,2,6,8,4]=>[1,3,3,1]=>11001001=>4 [5,2,4,6,8,1,7,3]=>[4,7,5,3,1,8,2,6]=>[2,1,1,2,2]=>10111010=>5 [2,3,8,4,6,1,7,5]=>[7,6,1,5,3,8,2,4]=>[1,1,2,2,2]=>11101010=>5 [3,1,8,6,5,2,7,4]=>[6,8,1,3,4,7,2,5]=>[2,4,2]=>10100010=>5 [8,3,1,5,2,6,7,4]=>[1,6,8,4,7,3,2,5]=>[3,2,1,2]=>10010110=>5 [3,8,2,4,1,5,7,6]=>[6,1,7,5,8,4,2,3]=>[1,2,2,1,2]=>11010110=>5 [5,8,3,2,4,1,7,6]=>[4,1,6,7,5,8,2,3]=>[1,3,2,2]=>11001010=>5 [5,6,3,8,4,2,1,7]=>[4,3,6,1,5,7,8,2]=>[1,2,4,1]=>11010001=>4 [6,5,3,2,4,8,1,7]=>[3,4,6,7,5,1,8,2]=>[4,1,2,1]=>10001101=>4 [3,6,2,1,4,5,7,8]=>[6,3,7,8,5,4,2,1]=>[1,3,1,1,1,1]=>11001111=>2 [5,2,4,6,1,3,8,7]=>[4,7,5,3,8,6,1,2]=>[2,1,2,1,2]=>10110110=>5 [7,2,3,4,6,8,1,5]=>[2,7,6,5,3,1,8,4]=>[2,1,1,1,2,1]=>10111101=>4 [8,3,4,6,7,5,1,2]=>[1,6,5,3,2,4,8,7]=>[2,1,1,3,1]=>10111001=>4 [6,8,3,4,7,5,2,1]=>[3,1,6,5,2,4,7,8]=>[1,2,1,4]=>11011000=>3 [5,8,6,1,3,4,7,2]=>[4,1,3,8,6,5,2,7]=>[1,3,1,1,2]=>11001110=>3 [4,8,1,5,7,6,3,2]=>[5,1,8,4,2,3,6,7]=>[1,2,1,4]=>11011000=>3 [3,7,4,6,8,2,5,1]=>[6,2,5,3,1,7,4,8]=>[1,2,1,2,2]=>11011010=>5 [4,7,1,6,8,3,2,5]=>[5,2,8,3,1,6,7,4]=>[1,2,1,3,1]=>11011001=>4 [3,7,5,2,8,6,1,4]=>[6,2,4,7,1,3,8,5]=>[1,3,3,1]=>11001001=>4 [4,8,5,2,6,7,1,3]=>[5,1,4,7,3,2,8,6]=>[1,3,1,2,1]=>11001101=>4 [5,4,8,6,1,2,7,3]=>[4,5,1,3,8,7,2,6]=>[2,3,1,2]=>10100110=>5 [8,4,6,5,2,7,3,1]=>[1,5,3,4,7,2,6,8]=>[2,3,3]=>10100100=>5 [5,2,7,6,4,8,1,3]=>[4,7,2,3,5,1,8,6]=>[2,3,2,1]=>10100101=>6 [8,6,2,3,5,1,7,4]=>[1,3,7,6,4,8,2,5]=>[3,1,2,2]=>10011010=>5 [8,2,5,7,4,1,3,6]=>[1,7,4,2,5,8,6,3]=>[2,1,3,1,1]=>10110011=>4 [7,1,3,5,6,2,8,4]=>[2,8,6,4,3,7,1,5]=>[2,1,1,2,2]=>10111010=>5 [7,1,5,8,4,6,3,2]=>[2,8,4,1,5,3,6,7]=>[2,1,2,3]=>10110100=>5 [6,3,8,4,7,1,5,2]=>[3,6,1,5,2,8,4,7]=>[2,2,2,2]=>10101010=>7 [7,1,4,3,2,8,5,6]=>[2,8,5,6,7,1,4,3]=>[2,3,2,1]=>10100101=>6 [5,3,6,1,4,2,8,7]=>[4,6,3,8,5,7,1,2]=>[2,2,2,2]=>10101010=>7 [5,7,2,1,4,3,8,6]=>[4,2,7,8,5,6,1,3]=>[1,3,2,2]=>11001010=>5 [7,1,8,3,5,2,4,6]=>[2,8,1,6,4,7,5,3]=>[2,2,2,1,1]=>10101011=>6 [7,2,4,8,1,5,6,3]=>[2,7,5,1,8,4,3,6]=>[2,1,2,1,2]=>10110110=>5 [7,1,8,4,2,5,6,3]=>[2,8,1,5,7,4,3,6]=>[2,3,1,2]=>10100110=>5 [6,4,2,5,8,1,7,3]=>[3,5,7,4,1,8,2,6]=>[3,1,2,2]=>10011010=>5 [2,1,7,5,8,3,6,4]=>[7,8,2,4,1,6,3,5]=>[2,2,2,2]=>10101010=>7 [7,3,8,5,6,2,1,4]=>[2,6,1,4,3,7,8,5]=>[2,2,3,1]=>10101001=>6 [2,7,4,8,1,5,6,3]=>[7,2,5,1,8,4,3,6]=>[1,2,2,1,2]=>11010110=>5 [6,1,5,8,3,7,4,2]=>[3,8,4,1,6,2,5,7]=>[2,1,2,3]=>10110100=>5 [2,6,3,5,8,7,4,1]=>[7,3,6,4,1,2,5,8]=>[1,2,1,4]=>11011000=>3 [8,6,5,3,7,2,1,4]=>[1,3,4,6,2,7,8,5]=>[4,3,1]=>10001001=>4 [4,8,5,3,7,2,1,6]=>[5,1,4,6,2,7,8,3]=>[1,3,3,1]=>11001001=>4 [7,4,8,6,5,3,2,1]=>[2,5,1,3,4,6,7,8]=>[2,6]=>10100000=>3 [7,8,4,1,3,5,6,2]=>[2,1,5,8,6,4,3,7]=>[1,3,1,1,2]=>11001110=>3 [7,8,3,4,1,5,6,2]=>[2,1,6,5,8,4,3,7]=>[1,2,2,1,2]=>11010110=>5 [7,3,1,8,2,5,6,4]=>[2,6,8,1,7,4,3,5]=>[3,2,1,2]=>10010110=>5 [7,2,3,8,1,5,6,4]=>[2,7,6,1,8,4,3,5]=>[2,1,2,1,2]=>10110110=>5 [6,4,8,7,3,2,1,5]=>[3,5,1,2,6,7,8,4]=>[2,5,1]=>10100001=>4 [2,7,4,8,6,3,1,5]=>[7,2,5,1,3,6,8,4]=>[1,2,4,1]=>11010001=>4 [6,4,8,2,3,1,7,5]=>[3,5,1,7,6,8,2,4]=>[2,2,2,2]=>10101010=>7 [7,2,1,8,3,5,6,4]=>[2,7,8,1,6,4,3,5]=>[3,2,1,2]=>10010110=>5 [5,1,6,2,3,8,7,4]=>[4,8,3,7,6,1,2,5]=>[2,2,1,3]=>10101100=>5 [5,1,6,3,8,2,4,7]=>[4,8,3,6,1,7,5,2]=>[2,2,2,1,1]=>10101011=>6 [3,6,5,1,4,8,7,2]=>[6,3,4,8,5,1,2,7]=>[1,3,1,3]=>11001100=>3 [7,6,1,3,8,4,5,2]=>[2,3,8,6,1,5,4,7]=>[3,1,2,2]=>10011010=>5 [6,7,1,5,8,3,4,2]=>[3,2,8,4,1,6,5,7]=>[1,2,1,2,2]=>11011010=>5 [7,3,6,2,8,1,4,5]=>[2,6,3,7,1,8,5,4]=>[2,2,2,1,1]=>10101011=>6 [1,6,7,3,8,4,5,2]=>[8,3,2,6,1,5,4,7]=>[1,1,2,2,2]=>11101010=>5 [6,5,1,8,4,7,2,3]=>[3,4,8,1,5,2,7,6]=>[3,2,2,1]=>10010101=>6 [6,5,1,8,4,2,7,3]=>[3,4,8,1,5,7,2,6]=>[3,3,2]=>10010010=>5 [3,4,8,6,1,7,5,2]=>[6,5,1,3,8,2,4,7]=>[1,1,3,3]=>11100100=>3 [3,4,8,5,7,1,6,2]=>[6,5,1,4,2,8,3,7]=>[1,1,2,2,2]=>11101010=>5 [7,5,4,8,1,6,2,3]=>[2,4,5,1,8,3,7,6]=>[3,2,2,1]=>10010101=>6 [4,3,5,8,7,1,2,6]=>[5,6,4,1,2,8,7,3]=>[2,1,3,1,1]=>10110011=>4 [7,5,4,8,1,2,6,3]=>[2,4,5,1,8,7,3,6]=>[3,2,1,2]=>10010110=>5 [3,5,6,8,1,4,2,7]=>[6,4,3,1,8,5,7,2]=>[1,1,1,2,2,1]=>11110101=>4 [6,1,5,8,7,2,3,4]=>[3,8,4,1,2,7,6,5]=>[2,1,3,1,1]=>10110011=>4 [5,1,6,2,8,4,3,7]=>[4,8,3,7,1,5,6,2]=>[2,2,3,1]=>10101001=>6 [7,3,6,1,8,4,2,5]=>[2,6,3,8,1,5,7,4]=>[2,2,3,1]=>10101001=>6 [1,4,5,8,6,3,7,2]=>[8,5,4,1,3,6,2,7]=>[1,1,1,3,2]=>11110010=>3 [3,4,8,1,7,6,5,2]=>[6,5,1,8,2,3,4,7]=>[1,1,2,4]=>11101000=>3 [3,4,8,5,1,7,6,2]=>[6,5,1,4,8,2,3,7]=>[1,1,3,3]=>11100100=>3 [3,5,4,8,2,7,1,6]=>[6,4,5,1,7,2,8,3]=>[1,2,2,2,1]=>11010101=>6 [4,3,5,8,2,6,1,7]=>[5,6,4,1,7,3,8,2]=>[2,1,2,2,1]=>10110101=>6 [6,4,7,2,3,1,5,8]=>[3,5,2,7,6,8,4,1]=>[2,2,2,1,1]=>10101011=>6 [6,2,7,1,5,3,4,8]=>[3,7,2,8,4,6,5,1]=>[2,2,2,1,1]=>10101011=>6 [6,8,1,5,4,2,7,3]=>[3,1,8,4,5,7,2,6]=>[1,2,3,2]=>11010010=>5 [7,8,6,3,1,4,2,5]=>[2,1,3,6,8,5,7,4]=>[1,4,2,1]=>11000101=>4 [7,8,6,3,5,1,2,4]=>[2,1,3,6,4,8,7,5]=>[1,3,2,1,1]=>11001011=>4 [6,2,7,5,4,1,3,8]=>[3,7,2,4,5,8,6,1]=>[2,4,1,1]=>10100011=>4 [7,2,8,5,4,6,3,1]=>[2,7,1,4,5,3,6,8]=>[2,3,3]=>10100100=>5 [6,1,8,4,7,2,3,5]=>[3,8,1,5,2,7,6,4]=>[2,2,2,1,1]=>10101011=>6 [6,1,7,5,4,3,8,2]=>[3,8,2,4,5,6,1,7]=>[2,4,2]=>10100010=>5 [5,6,4,3,7,1,8,2]=>[4,3,5,6,2,8,1,7]=>[1,3,2,2]=>11001010=>5 [6,5,3,7,2,4,8,1]=>[3,4,6,2,7,5,1,8]=>[3,2,1,2]=>10010110=>5 [6,5,3,8,1,7,4,2]=>[3,4,6,1,8,2,5,7]=>[3,2,3]=>10010100=>5 [5,6,4,3,8,1,7,2]=>[4,3,5,6,1,8,2,7]=>[1,3,2,2]=>11001010=>5 [5,7,6,8,4,3,1,2]=>[4,2,3,1,5,6,8,7]=>[1,2,4,1]=>11010001=>4 [6,2,8,7,5,3,4,1]=>[3,7,1,2,4,6,5,8]=>[2,4,2]=>10100010=>5 [6,3,2,8,5,4,7,1]=>[3,6,7,1,4,5,2,8]=>[3,3,2]=>10010010=>5 [5,6,2,8,7,3,1,4]=>[4,3,7,1,2,6,8,5]=>[1,2,4,1]=>11010001=>4 [6,1,8,3,2,5,7,4]=>[3,8,1,6,7,4,2,5]=>[2,3,1,2]=>10100110=>5 [6,1,7,8,3,2,4,5]=>[3,8,2,1,6,7,5,4]=>[2,1,3,1,1]=>10110011=>4 [4,1,2,6,8,3,7,5]=>[5,8,7,3,1,6,2,4]=>[2,1,1,2,2]=>10111010=>5 [5,1,3,6,2,7,4,8]=>[4,8,6,3,7,2,5,1]=>[2,1,2,2,1]=>10110101=>6 [7,1,6,2,5,8,3,4]=>[2,8,3,7,4,1,6,5]=>[2,2,1,2,1]=>10101101=>6 [6,1,7,4,8,2,5,3]=>[3,8,2,5,1,7,4,6]=>[2,2,2,2]=>10101010=>7 [4,3,2,7,8,5,1,6]=>[5,6,7,2,1,4,8,3]=>[3,1,3,1]=>10011001=>4 [7,1,3,6,5,8,4,2]=>[2,8,6,3,4,1,5,7]=>[2,1,2,3]=>10110100=>5 [5,1,7,4,6,8,2,3]=>[4,8,2,5,3,1,7,6]=>[2,2,1,2,1]=>10101101=>6 [5,7,4,3,6,8,2,1]=>[4,2,5,6,3,1,7,8]=>[1,3,1,3]=>11001100=>3 [5,1,4,3,6,7,2,8]=>[4,8,5,6,3,2,7,1]=>[2,2,1,2,1]=>10101101=>6 [4,6,2,7,8,3,5,1]=>[5,3,7,2,1,6,4,8]=>[1,2,1,2,2]=>11011010=>5 [5,1,2,4,6,7,8,3]=>[4,8,7,5,3,2,1,6]=>[2,1,1,1,1,2]=>10111110=>3 [4,6,3,5,2,8,7,1]=>[5,3,6,4,7,1,2,8]=>[1,2,2,3]=>11010100=>5 [5,6,3,4,8,2,7,1]=>[4,3,6,5,1,7,2,8]=>[1,2,1,2,2]=>11011010=>5 [5,3,6,4,1,7,8,2]=>[4,6,3,5,8,2,1,7]=>[2,3,1,2]=>10100110=>5 [5,2,6,4,1,7,8,3]=>[4,7,3,5,8,2,1,6]=>[2,3,1,2]=>10100110=>5 [5,4,1,7,6,3,8,2]=>[4,5,8,2,3,6,1,7]=>[3,3,2]=>10010010=>5 [5,8,4,6,3,2,7,1]=>[4,1,5,3,6,7,2,8]=>[1,2,3,2]=>11010010=>5 [5,6,2,4,8,3,7,1]=>[4,3,7,5,1,6,2,8]=>[1,2,1,2,2]=>11011010=>5 [3,7,5,2,4,8,1,6]=>[6,2,4,7,5,1,8,3]=>[1,3,1,2,1]=>11001101=>4 [4,7,5,2,3,8,6,1]=>[5,2,4,7,6,1,3,8]=>[1,3,1,3]=>11001100=>3 [6,4,7,3,2,5,8,1]=>[3,5,2,6,7,4,1,8]=>[2,3,1,2]=>10100110=>5 [5,3,7,2,8,4,6,1]=>[4,6,2,7,1,5,3,8]=>[2,2,2,2]=>10101010=>7 [4,3,7,2,5,8,6,1]=>[5,6,2,7,4,1,3,8]=>[2,2,1,3]=>10101100=>5 [4,7,3,2,5,8,6,1]=>[5,2,6,7,4,1,3,8]=>[1,3,1,3]=>11001100=>3 [4,8,3,5,1,7,6,2]=>[5,1,6,4,8,2,3,7]=>[1,2,2,3]=>11010100=>5 [4,7,3,2,6,8,5,1]=>[5,2,6,7,3,1,4,8]=>[1,3,1,3]=>11001100=>3 [7,5,3,2,6,4,8,1]=>[2,4,6,7,3,5,1,8]=>[4,2,2]=>10001010=>5 [8,5,2,6,7,3,4,1]=>[1,4,7,3,2,6,5,8]=>[3,1,2,2]=>10011010=>5 [8,4,2,6,3,7,5,1]=>[1,5,7,3,6,2,4,8]=>[3,2,3]=>10010100=>5 [7,5,6,2,8,3,4,1]=>[2,4,3,7,1,6,5,8]=>[2,2,2,2]=>10101010=>7 [4,7,6,2,3,8,5,1]=>[5,2,3,7,6,1,4,8]=>[1,3,1,3]=>11001100=>3 [7,6,3,2,5,8,1,4]=>[2,3,6,7,4,1,8,5]=>[4,1,2,1]=>10001101=>4 [6,3,8,5,4,7,2,1]=>[3,6,1,4,5,2,7,8]=>[2,3,3]=>10100100=>5 [8,5,4,7,6,2,3,1]=>[1,4,5,2,3,7,6,8]=>[3,3,2]=>10010010=>5 [7,8,2,5,1,3,6,4]=>[2,1,7,4,8,6,3,5]=>[1,2,2,1,2]=>11010110=>5 [8,7,2,5,4,1,6,3]=>[1,2,7,4,5,8,3,6]=>[3,3,2]=>10010010=>5 [1,3,2,4,5,6,7,8,9]=>[9,7,8,6,5,4,3,2,1]=>[1,2,1,1,1,1,1,1]=>110111111=>2 [1,9,2,8,3,7,4,6,5]=>[9,1,8,2,7,3,6,4,5]=>[1,2,2,2,2]=>110101010=>7 [2,4,6,3,8,7,5,1]=>[7,5,3,6,1,2,4,8]=>[1,1,2,4]=>11101000=>3 [2,4,6,1,8,7,3,5]=>[7,5,3,8,1,2,6,4]=>[1,1,2,3,1]=>11101001=>4 [2,4,3,6,8,7,1,5]=>[7,5,6,3,1,2,8,4]=>[1,2,1,3,1]=>11011001=>4 [2,4,6,3,8,7,1,5]=>[7,5,3,6,1,2,8,4]=>[1,1,2,3,1]=>11101001=>4 [2,4,6,5,8,7,1,3]=>[7,5,3,4,1,2,8,6]=>[1,1,2,3,1]=>11101001=>4 [2,4,6,8,5,7,3,1]=>[7,5,3,1,4,2,6,8]=>[1,1,1,2,3]=>11110100=>3 [2,4,6,8,5,7,1,3]=>[7,5,3,1,4,2,8,6]=>[1,1,1,2,2,1]=>11110101=>4 [2,4,6,8,3,7,1,5]=>[7,5,3,1,6,2,8,4]=>[1,1,1,2,2,1]=>11110101=>4 [2,4,6,8,1,7,3,5]=>[7,5,3,1,8,2,6,4]=>[1,1,1,2,2,1]=>11110101=>4 [2,4,6,5,1,8,7,3]=>[7,5,3,4,8,1,2,6]=>[1,1,3,3]=>11100100=>3 [2,4,6,5,8,3,7,1]=>[7,5,3,4,1,6,2,8]=>[1,1,2,2,2]=>11101010=>5 [2,4,6,5,8,1,7,3]=>[7,5,3,4,1,8,2,6]=>[1,1,2,2,2]=>11101010=>5 [2,4,6,8,5,1,7,3]=>[7,5,3,1,4,8,2,6]=>[1,1,1,3,2]=>11110010=>3 [2,4,6,8,7,3,5,1]=>[7,5,3,1,2,6,4,8]=>[1,1,1,3,2]=>11110010=>3 [2,4,6,8,7,1,5,3]=>[7,5,3,1,2,8,4,6]=>[1,1,1,3,2]=>11110010=>3 [2,4,6,8,7,1,3,5]=>[7,5,3,1,2,8,6,4]=>[1,1,1,3,1,1]=>11110011=>2 [2,4,6,8,5,1,3,7]=>[7,5,3,1,4,8,6,2]=>[1,1,1,3,1,1]=>11110011=>2 [2,4,6,5,1,8,3,7]=>[7,5,3,4,8,1,6,2]=>[1,1,3,2,1]=>11100101=>4 [2,4,6,5,1,3,8,7]=>[7,5,3,4,8,6,1,2]=>[1,1,3,1,2]=>11100110=>3 [2,4,6,5,3,8,1,7]=>[7,5,3,4,6,1,8,2]=>[1,1,3,2,1]=>11100101=>4 [2,4,6,5,8,3,1,7]=>[7,5,3,4,1,6,8,2]=>[1,1,2,3,1]=>11101001=>4 [2,4,6,8,5,3,1,7]=>[7,5,3,1,4,6,8,2]=>[1,1,1,4,1]=>11110001=>2 [2,4,6,8,7,3,1,5]=>[7,5,3,1,2,6,8,4]=>[1,1,1,4,1]=>11110001=>2 [2,4,6,8,7,5,1,3]=>[7,5,3,1,2,4,8,6]=>[1,1,1,4,1]=>11110001=>2 [4,8,7,5,2,1,3,6]=>[5,1,2,4,7,8,6,3]=>[1,5,1,1]=>11000011=>2 [1,8,6,5,3,2,7,4]=>[8,1,3,4,6,7,2,5]=>[1,5,2]=>11000010=>3 [1,6,3,5,8,2,4,7]=>[8,3,6,4,1,7,5,2]=>[1,2,1,2,1,1]=>11011011=>4 [4,6,1,7,8,5,3,2]=>[5,3,8,2,1,4,6,7]=>[1,2,1,4]=>11011000=>3 [6,1,2,7,8,4,5,3]=>[3,8,7,2,1,5,4,6]=>[2,1,1,2,2]=>10111010=>5 [6,1,3,2,7,8,5,4]=>[3,8,6,7,2,1,4,5]=>[2,2,1,3]=>10101100=>5 [5,6,3,1,7,4,8,2]=>[4,3,6,8,2,5,1,7]=>[1,3,2,2]=>11001010=>5 [4,8,3,7,1,6,5,2]=>[5,1,6,2,8,3,4,7]=>[1,2,2,3]=>11010100=>5 [8,7,2,6,5,1,4,3]=>[1,2,7,3,4,8,5,6]=>[3,3,2]=>10010010=>5 [5,8,3,2,1,7,6,4]=>[4,1,6,7,8,2,3,5]=>[1,4,3]=>11000100=>3 [5,4,3,8,1,7,6,2]=>[4,5,6,1,8,2,3,7]=>[3,2,3]=>10010100=>5 [4,3,8,2,7,6,5,1]=>[5,6,1,7,2,3,4,8]=>[2,2,4]=>10101000=>5 [4,8,2,7,6,5,3,1]=>[5,1,7,2,3,4,6,8]=>[1,2,5]=>11010000=>3 [7,8,2,6,5,4,1,3]=>[2,1,7,3,4,5,8,6]=>[1,2,4,1]=>11010001=>4 [3,8,7,6,2,5,1,4]=>[6,1,2,3,7,4,8,5]=>[1,4,2,1]=>11000101=>4 [4,8,3,7,2,1,6,5]=>[5,1,6,2,7,8,3,4]=>[1,2,3,2]=>11010010=>5 [8,6,3,1,7,5,4,2]=>[1,3,6,8,2,4,5,7]=>[4,4]=>10001000=>3 [8,6,3,7,1,5,4,2]=>[1,3,6,2,8,4,5,7]=>[3,2,3]=>10010100=>5 [4,8,3,7,6,2,5,1]=>[5,1,6,2,3,7,4,8]=>[1,2,3,2]=>11010010=>5 [5,8,2,7,6,4,1,3]=>[4,1,7,2,3,5,8,6]=>[1,2,4,1]=>11010001=>4 [8,4,2,1,7,6,5,3]=>[1,5,7,8,2,3,4,6]=>[4,4]=>10001000=>3 [1,6,4,2,5,3,7,8]=>[8,3,5,7,4,6,2,1]=>[1,3,2,1,1]=>11001011=>4 [1,8,6,2,7,3,4,5]=>[8,1,3,7,2,6,5,4]=>[1,3,2,1,1]=>11001011=>4 [1,5,2,6,4,3,7,8]=>[8,4,7,3,5,6,2,1]=>[1,2,3,1,1]=>11010011=>4 [1,5,2,4,6,3,7,8]=>[8,4,7,5,3,6,2,1]=>[1,2,1,2,1,1]=>11011011=>4 [1,8,6,2,3,7,4,5]=>[8,1,3,7,6,2,5,4]=>[1,3,1,2,1]=>11001101=>4 [1,5,2,8,6,3,4,7]=>[8,4,7,1,3,6,5,2]=>[1,2,3,1,1]=>11010011=>4 [1,3,6,8,2,7,4,5]=>[8,6,3,1,7,2,5,4]=>[1,1,1,2,2,1]=>11110101=>4 [1,4,3,8,2,5,6,7]=>[8,5,6,1,7,4,3,2]=>[1,2,2,1,1,1]=>11010111=>4 [1,7,2,3,8,5,4,6]=>[8,2,7,6,1,4,5,3]=>[1,2,1,3,1]=>11011001=>4 [1,3,8,4,2,5,6,7]=>[8,6,1,5,7,4,3,2]=>[1,1,3,1,1,1]=>11100111=>2 [1,6,2,8,5,4,3,7]=>[8,3,7,1,4,5,6,2]=>[1,2,4,1]=>11010001=>4 [1,5,3,8,2,7,4,6]=>[8,4,6,1,7,2,5,3]=>[1,2,2,2,1]=>11010101=>6 [1,4,6,5,2,8,3,7]=>[8,5,3,4,7,1,6,2]=>[1,1,3,2,1]=>11100101=>4 [1,5,6,4,2,8,3,7]=>[8,4,3,5,7,1,6,2]=>[1,1,3,2,1]=>11100101=>4 [1,4,8,2,5,6,3,7]=>[8,5,1,7,4,3,6,2]=>[1,1,2,1,2,1]=>11101101=>4 [1,5,7,3,2,8,4,6]=>[8,4,2,6,7,1,5,3]=>[1,1,3,2,1]=>11100101=>4 [1,4,8,3,2,5,6,7]=>[8,5,1,6,7,4,3,2]=>[1,1,3,1,1,1]=>11100111=>2 [1,7,2,5,8,3,4,6]=>[8,2,7,4,1,6,5,3]=>[1,2,1,2,1,1]=>11011011=>4 [8,2,3,4,5,6,7,9,1]=>[2,8,7,6,5,4,3,1,9]=>[2,1,1,1,1,1,2]=>101111110=>3 [6,2,3,5,8,1,7,4]=>[3,7,6,4,1,8,2,5]=>[2,1,1,2,2]=>10111010=>5 [2,3,5,6,4,7,8,1,9]=>[8,7,5,4,6,3,2,9,1]=>[1,1,1,2,1,2,1]=>111101101=>4 [2,6,4,5,7,3,1,8]=>[7,3,5,4,2,6,8,1]=>[1,2,1,3,1]=>11011001=>4 [2,5,6,3,4,7,1,8]=>[7,4,3,6,5,2,8,1]=>[1,1,2,1,2,1]=>11101101=>4 [1,3,7,5,6,8,4,2]=>[8,6,2,4,3,1,5,7]=>[1,1,2,1,3]=>11101100=>3 [1,3,6,7,4,5,8,2]=>[8,6,3,2,5,4,1,7]=>[1,1,1,2,1,2]=>11110110=>3 [1,5,6,3,4,2,7,8]=>[8,4,3,6,5,7,2,1]=>[1,1,2,2,1,1]=>11101011=>4 [1,5,6,3,4,7,2,8]=>[8,4,3,6,5,2,7,1]=>[1,1,2,1,2,1]=>11101101=>4 [1,5,3,6,4,2,7,8]=>[8,4,6,3,5,7,2,1]=>[1,2,3,1,1]=>11010011=>4 [1,7,5,6,8,3,4,2]=>[8,2,4,3,1,6,5,7]=>[1,2,1,2,2]=>11011010=>5 [1,7,5,6,3,8,4,2]=>[8,2,4,3,6,1,5,7]=>[1,2,2,3]=>11010100=>5 [1,3,7,5,2,8,6,4]=>[8,6,2,4,7,1,3,5]=>[1,1,3,3]=>11100100=>3 [1,3,7,2,5,8,6,4]=>[8,6,2,7,4,1,3,5]=>[1,1,2,1,3]=>11101100=>3 [1,5,3,7,4,6,2,8]=>[8,4,6,2,5,3,7,1]=>[1,2,2,2,1]=>11010101=>6 [1,5,3,7,6,4,2,8]=>[8,4,6,2,3,5,7,1]=>[1,2,4,1]=>11010001=>4 [1,5,7,6,3,4,8,2]=>[8,4,2,3,6,5,1,7]=>[1,1,3,1,2]=>11100110=>3 [1,5,7,3,6,4,8,2]=>[8,4,2,6,3,5,1,7]=>[1,1,2,2,2]=>11101010=>5 [4,6,8,3,1,7,2,5]=>[5,3,1,6,8,2,7,4]=>[1,1,3,2,1]=>11100101=>4 [6,7,3,1,8,5,2,4]=>[3,2,6,8,1,4,7,5]=>[1,3,3,1]=>11001001=>4 [4,7,3,6,1,8,2,5]=>[5,2,6,3,8,1,7,4]=>[1,2,2,2,1]=>11010101=>6 [6,3,1,5,8,7,2,4]=>[3,6,8,4,1,2,7,5]=>[3,1,3,1]=>10011001=>4 [6,3,4,7,2,1,8,5]=>[3,6,5,2,7,8,1,4]=>[2,1,3,2]=>10110010=>5 [5,3,6,8,7,2,1,4]=>[4,6,3,1,2,7,8,5]=>[2,1,4,1]=>10110001=>4 [4,6,3,5,8,2,1,7]=>[5,3,6,4,1,7,8,2]=>[1,2,1,3,1]=>11011001=>4 [3,6,2,5,8,4,1,7]=>[6,3,7,4,1,5,8,2]=>[1,2,1,3,1]=>11011001=>4 [7,2,4,8,6,3,1,5]=>[2,7,5,1,3,6,8,4]=>[2,1,4,1]=>10110001=>4 [2,3,6,4,1,8,7,5]=>[7,6,3,5,8,1,2,4]=>[1,1,3,3]=>11100100=>3 [6,2,4,8,3,1,7,5]=>[3,7,5,1,6,8,2,4]=>[2,1,3,2]=>10110010=>5 [5,2,6,4,3,1,8,7]=>[4,7,3,5,6,8,1,2]=>[2,4,2]=>10100010=>5 [8,3,4,6,2,1,7,5]=>[1,6,5,3,7,8,2,4]=>[2,1,3,2]=>10110010=>5 [7,4,5,2,1,8,6,3]=>[2,5,4,7,8,1,3,6]=>[2,3,3]=>10100100=>5 [2,5,6,3,1,8,7,4]=>[7,4,3,6,8,1,2,5]=>[1,1,3,3]=>11100100=>3 [4,7,5,2,1,8,6,3]=>[5,2,4,7,8,1,3,6]=>[1,4,3]=>11000100=>3 [5,6,4,3,8,2,1,7]=>[4,3,5,6,1,7,8,2]=>[1,3,3,1]=>11001001=>4 [4,5,7,3,1,2,8,6]=>[5,4,2,6,8,7,1,3]=>[1,1,3,1,2]=>11100110=>3 [5,7,4,6,3,2,1,8]=>[4,2,5,3,6,7,8,1]=>[1,2,4,1]=>11010001=>4 [3,6,1,2,4,8,7,5]=>[6,3,8,7,5,1,2,4]=>[1,2,1,1,3]=>11011100=>3 [2,5,3,8,4,1,7,6]=>[7,4,6,1,5,8,2,3]=>[1,2,3,2]=>11010010=>5 [4,5,2,8,3,1,7,6]=>[5,4,7,1,6,8,2,3]=>[1,2,3,2]=>11010010=>5 [4,6,3,2,8,5,1,7]=>[5,3,6,7,1,4,8,2]=>[1,3,3,1]=>11001001=>4 [7,4,2,8,3,1,6,5]=>[2,5,7,1,6,8,3,4]=>[3,3,2]=>10010010=>5 [6,7,2,3,1,8,5,4]=>[3,2,7,6,8,1,4,5]=>[1,2,2,3]=>11010100=>5 [5,7,2,3,1,8,6,4]=>[4,2,7,6,8,1,3,5]=>[1,2,2,3]=>11010100=>5 [2,7,3,4,1,8,6,5]=>[7,2,6,5,8,1,3,4]=>[1,2,2,3]=>11010100=>5 [2,6,3,4,1,8,7,5]=>[7,3,6,5,8,1,2,4]=>[1,2,2,3]=>11010100=>5 [7,5,2,3,1,8,6,4]=>[2,4,7,6,8,1,3,5]=>[3,2,3]=>10010100=>5 [6,3,1,2,4,8,7,5]=>[3,6,8,7,5,1,2,4]=>[3,1,1,3]=>10011100=>3 [8,2,3,4,1,7,6,5]=>[1,7,6,5,8,2,3,4]=>[2,1,2,3]=>10110100=>5 [6,2,3,4,1,8,7,5]=>[3,7,6,5,8,1,2,4]=>[2,1,2,3]=>10110100=>5 [4,7,5,2,3,6,1,8]=>[5,2,4,7,6,3,8,1]=>[1,3,1,2,1]=>11001101=>4 [3,6,8,4,5,1,2,7]=>[6,3,1,5,4,8,7,2]=>[1,1,2,2,1,1]=>11101011=>4 [5,2,3,7,6,4,1,8]=>[4,7,6,2,3,5,8,1]=>[2,1,4,1]=>10110001=>4 [6,2,8,4,5,1,3,7]=>[3,7,1,5,4,8,6,2]=>[2,2,2,1,1]=>10101011=>6 [7,2,8,5,1,4,3,6]=>[2,7,1,4,8,5,6,3]=>[2,3,2,1]=>10100101=>6 [8,6,7,1,4,2,3,5]=>[1,3,2,8,5,7,6,4]=>[2,2,2,1,1]=>10101011=>6 [6,8,7,1,4,3,2,5]=>[3,1,2,8,5,6,7,4]=>[1,3,3,1]=>11001001=>4 [3,7,8,5,1,4,2,6]=>[6,2,1,4,8,5,7,3]=>[1,1,3,2,1]=>11100101=>4 [4,8,7,3,1,2,5,6]=>[5,1,2,6,8,7,4,3]=>[1,4,1,1,1]=>11000111=>2 [4,8,6,2,3,1,5,7]=>[5,1,3,7,6,8,4,2]=>[1,3,2,1,1]=>11001011=>4 [4,5,3,8,2,1,6,7]=>[5,4,6,1,7,8,3,2]=>[1,2,3,1,1]=>11010011=>4 [3,7,4,1,8,2,6,5]=>[6,2,5,8,1,7,3,4]=>[1,3,2,2]=>11001010=>5 [3,8,4,1,7,6,2,5]=>[6,1,5,8,2,3,7,4]=>[1,3,3,1]=>11001001=>4 [3,7,2,1,8,4,6,5]=>[6,2,7,8,1,5,3,4]=>[1,3,2,2]=>11001010=>5 [8,7,1,6,5,2,3,4]=>[1,2,8,3,4,7,6,5]=>[3,3,1,1]=>10010011=>4 [8,5,1,2,7,6,3,4]=>[1,4,8,7,2,3,6,5]=>[3,1,3,1]=>10011001=>4 [3,8,2,1,7,6,4,5]=>[6,1,7,8,2,3,5,4]=>[1,3,3,1]=>11001001=>4 [3,5,7,8,2,4,6,1]=>[6,4,2,1,7,5,3,8]=>[1,1,1,2,1,2]=>11110110=>3 [4,5,3,7,8,2,6,1]=>[5,4,6,2,1,7,3,8]=>[1,2,1,2,2]=>11011010=>5 [1,5,4,7,3,6,2,8]=>[8,4,5,2,6,3,7,1]=>[1,2,2,2,1]=>11010101=>6 [1,7,3,6,8,4,5,2]=>[8,2,6,3,1,5,4,7]=>[1,2,1,2,2]=>11011010=>5 [4,6,8,2,7,3,5,1]=>[5,3,1,7,2,6,4,8]=>[1,1,2,2,2]=>11101010=>5 [4,7,6,3,5,1,8,2]=>[5,2,3,6,4,8,1,7]=>[1,3,2,2]=>11001010=>5 [7,8,3,6,1,5,4,2]=>[2,1,6,3,8,4,5,7]=>[1,2,2,3]=>11010100=>5 [2,5,7,8,4,6,1,3]=>[7,4,2,1,5,3,8,6]=>[1,1,1,2,2,1]=>11110101=>4 [6,2,1,7,4,5,3,8]=>[3,7,8,2,5,4,6,1]=>[3,2,2,1]=>10010101=>6 [1,2,6,4,7,5,3,8]=>[8,7,3,5,2,4,6,1]=>[1,1,2,3,1]=>11101001=>4 [7,5,6,3,8,4,2,1]=>[2,4,3,6,1,5,7,8]=>[2,2,4]=>10101000=>5 [8,5,4,2,1,6,7,3]=>[1,4,5,7,8,3,2,6]=>[5,1,2]=>10000110=>3 [2,6,8,4,7,5,1,3]=>[7,3,1,5,2,4,8,6]=>[1,1,2,3,1]=>11101001=>4 [7,4,1,6,5,3,8,2]=>[2,5,8,3,4,6,1,7]=>[3,3,2]=>10010010=>5 [5,8,2,7,3,6,4,1]=>[4,1,7,2,6,3,5,8]=>[1,2,2,3]=>11010100=>5 [1,5,6,8,4,2,7,3]=>[8,4,3,1,5,7,2,6]=>[1,1,1,3,2]=>11110010=>3 [7,5,4,1,8,2,6,3]=>[2,4,5,8,1,7,3,6]=>[4,2,2]=>10001010=>5 [6,4,1,8,2,7,5,3]=>[3,5,8,1,7,2,4,6]=>[3,2,3]=>10010100=>5 [7,8,5,3,2,6,1,4]=>[2,1,4,6,7,3,8,5]=>[1,4,2,1]=>11000101=>4 [6,7,4,3,8,2,5,1]=>[3,2,5,6,1,7,4,8]=>[1,3,2,2]=>11001010=>5 [3,4,2,7,8,6,1,5]=>[6,5,7,2,1,3,8,4]=>[1,2,1,3,1]=>11011001=>4 [7,8,6,1,4,3,2,5]=>[2,1,3,8,5,6,7,4]=>[1,3,3,1]=>11001001=>4 [2,4,7,8,6,1,3,5]=>[7,5,2,1,3,8,6,4]=>[1,1,1,3,1,1]=>11110011=>2 [4,6,2,5,3,1,7,8]=>[5,3,7,4,6,8,2,1]=>[1,2,3,1,1]=>11010011=>4 [4,1,5,6,3,2,7,8]=>[5,8,4,3,6,7,2,1]=>[2,1,3,1,1]=>10110011=>4 [6,7,4,3,1,5,2,8]=>[3,2,5,6,8,4,7,1]=>[1,4,2,1]=>11000101=>4 [1,7,5,6,4,3,2,8]=>[8,2,4,3,5,6,7,1]=>[1,2,4,1]=>11010001=>4 [7,6,5,3,1,8,4,2]=>[2,3,4,6,8,1,5,7]=>[5,3]=>10000100=>3 [4,1,7,8,6,5,3,2]=>[5,8,2,1,3,4,6,7]=>[2,1,5]=>10110000=>3 [4,5,7,3,8,6,1,2]=>[5,4,2,6,1,3,8,7]=>[1,1,2,3,1]=>11101001=>4 [6,8,5,3,7,2,1,4]=>[3,1,4,6,2,7,8,5]=>[1,3,3,1]=>11001001=>4 [4,6,7,8,5,3,1,2]=>[5,3,2,1,4,6,8,7]=>[1,1,1,4,1]=>11110001=>2 [3,4,7,5,6,8,1,2]=>[6,5,2,4,3,1,8,7]=>[1,1,2,1,2,1]=>11101101=>4 [4,7,1,5,8,2,6,3]=>[5,2,8,4,1,7,3,6]=>[1,2,1,2,2]=>11011010=>5 [3,7,6,1,2,8,5,4]=>[6,2,3,8,7,1,4,5]=>[1,3,1,3]=>11001100=>3 [3,7,6,2,1,8,4,5]=>[6,2,3,7,8,1,5,4]=>[1,4,2,1]=>11000101=>4 [2,7,5,8,3,6,4,1]=>[7,2,4,1,6,3,5,8]=>[1,2,2,3]=>11010100=>5 [7,5,4,8,2,6,3,1]=>[2,4,5,1,7,3,6,8]=>[3,2,3]=>10010100=>5 [4,3,8,1,6,5,2,7]=>[5,6,1,8,3,4,7,2]=>[2,2,3,1]=>10101001=>6 [2,3,6,5,7,8,1,4]=>[7,6,3,4,2,1,8,5]=>[1,1,2,1,2,1]=>11101101=>4 [8,3,4,1,2,6,7,5]=>[1,6,5,8,7,3,2,4]=>[2,2,1,1,2]=>10101110=>5 [7,3,8,4,1,5,6,2]=>[2,6,1,5,8,4,3,7]=>[2,3,1,2]=>10100110=>5 [7,2,4,5,1,8,3,6]=>[2,7,5,4,8,1,6,3]=>[2,1,2,2,1]=>10110101=>6 [3,8,7,5,1,4,2,6]=>[6,1,2,4,8,5,7,3]=>[1,4,2,1]=>11000101=>4 [4,3,8,7,1,5,2,6]=>[5,6,1,2,8,4,7,3]=>[2,3,2,1]=>10100101=>6 [4,8,2,3,5,7,6,1]=>[5,1,7,6,4,2,3,8]=>[1,2,1,1,3]=>11011100=>3 [4,5,2,3,8,6,7,1]=>[5,4,7,6,1,3,2,8]=>[1,2,1,2,2]=>11011010=>5 [6,7,4,8,5,3,2,1]=>[3,2,5,1,4,6,7,8]=>[1,2,5]=>11010000=>3 [4,3,5,6,1,7,8,2]=>[5,6,4,3,8,2,1,7]=>[2,1,2,1,2]=>10110110=>5 [3,5,2,6,4,7,8,1]=>[6,4,7,3,5,2,1,8]=>[1,2,2,1,2]=>11010110=>5 [5,6,7,2,4,3,8,1]=>[4,3,2,7,5,6,1,8]=>[1,1,2,2,2]=>11101010=>5 [4,1,2,8,5,7,6,3]=>[5,8,7,1,4,2,3,6]=>[2,1,2,3]=>10110100=>5 [3,1,4,6,7,5,8,2]=>[6,8,5,3,2,4,1,7]=>[2,1,1,2,2]=>10111010=>5 [5,2,1,4,6,8,3,7]=>[4,7,8,5,3,1,6,2]=>[3,1,1,2,1]=>10011101=>4 [2,6,4,5,8,1,3,7]=>[7,3,5,4,1,8,6,2]=>[1,2,1,2,1,1]=>11011011=>4 [6,4,1,3,5,8,2,7]=>[3,5,8,6,4,1,7,2]=>[3,1,1,2,1]=>10011101=>4 [5,2,3,6,4,8,1,7]=>[4,7,6,3,5,1,8,2]=>[2,1,2,2,1]=>10110101=>6 [3,4,1,7,2,6,8,5]=>[6,5,8,2,7,3,1,4]=>[1,2,2,1,2]=>11010110=>5 [2,4,7,5,8,1,3,6]=>[7,5,2,4,1,8,6,3]=>[1,1,2,2,1,1]=>11101011=>4 [6,1,8,7,3,4,5,2]=>[3,8,1,2,6,5,4,7]=>[2,3,1,2]=>10100110=>5 [6,8,7,4,1,3,5,2]=>[3,1,2,5,8,6,4,7]=>[1,4,1,2]=>11000110=>3 [3,1,6,4,8,7,5,2]=>[6,8,3,5,1,2,4,7]=>[2,2,4]=>10101000=>5 [3,7,1,4,5,8,6,2]=>[6,2,8,5,4,1,3,7]=>[1,2,1,1,3]=>11011100=>3 [8,4,7,5,1,3,6,2]=>[1,5,2,4,8,6,3,7]=>[2,3,1,2]=>10100110=>5 [7,2,6,4,8,1,3,5]=>[2,7,3,5,1,8,6,4]=>[2,2,2,1,1]=>10101011=>6 [5,7,3,1,2,6,8,4]=>[4,2,6,8,7,3,1,5]=>[1,3,1,1,2]=>11001110=>3 [3,7,6,2,1,5,8,4]=>[6,2,3,7,8,4,1,5]=>[1,4,1,2]=>11000110=>3 [4,2,6,1,3,7,8,5]=>[5,7,3,8,6,2,1,4]=>[2,2,1,1,2]=>10101110=>5 [8,5,4,2,7,6,3,1]=>[1,4,5,7,2,3,6,8]=>[4,4]=>10001000=>3 [2,8,4,6,7,1,3,5]=>[7,1,5,3,2,8,6,4]=>[1,2,1,2,1,1]=>11011011=>4 [1,8,3,4,6,7,2,5]=>[8,1,6,5,3,2,7,4]=>[1,2,1,1,2,1]=>11011101=>4 [8,2,3,6,1,5,7,4]=>[1,7,6,3,8,4,2,5]=>[2,1,2,1,2]=>10110110=>5 [2,5,3,1,6,8,7,4]=>[7,4,6,8,3,1,2,5]=>[1,3,1,3]=>11001100=>3 [2,5,1,6,4,8,7,3]=>[7,4,8,3,5,1,2,6]=>[1,2,2,3]=>11010100=>5 [5,8,2,1,4,6,7,3]=>[4,1,7,8,5,3,2,6]=>[1,3,1,1,2]=>11001110=>3 [8,4,6,1,2,5,7,3]=>[1,5,3,8,7,4,2,6]=>[2,2,1,1,2]=>10101110=>5 [3,7,8,4,2,6,5,1]=>[6,2,1,5,7,3,4,8]=>[1,1,3,3]=>11100100=>3 [8,5,1,4,2,6,7,3]=>[1,4,8,5,7,3,2,6]=>[3,2,1,2]=>10010110=>5 [3,5,1,8,6,7,2,4]=>[6,4,8,1,3,2,7,5]=>[1,2,2,2,1]=>11010101=>6 [5,6,2,8,7,1,3,4]=>[4,3,7,1,2,8,6,5]=>[1,2,3,1,1]=>11010011=>4 [7,2,4,8,5,6,1,3]=>[2,7,5,1,4,3,8,6]=>[2,1,2,2,1]=>10110101=>6 [7,1,3,8,4,5,6,2]=>[2,8,6,1,5,4,3,7]=>[2,1,2,1,2]=>10110110=>5 [7,8,1,4,3,5,6,2]=>[2,1,8,5,6,4,3,7]=>[1,2,2,1,2]=>11010110=>5 [2,6,7,8,3,5,1,4]=>[7,3,2,1,6,4,8,5]=>[1,1,1,2,2,1]=>11110101=>4 [3,6,7,8,2,1,5,4]=>[6,3,2,1,7,8,4,5]=>[1,1,1,3,2]=>11110010=>3 [3,6,7,2,8,1,5,4]=>[6,3,2,7,1,8,4,5]=>[1,1,2,2,2]=>11101010=>5 [2,6,7,1,3,5,8,4]=>[7,3,2,8,6,4,1,5]=>[1,1,2,1,1,2]=>11101110=>3 [3,6,7,1,2,8,5,4]=>[6,3,2,8,7,1,4,5]=>[1,1,2,1,3]=>11101100=>3 [3,6,7,1,8,2,5,4]=>[6,3,2,8,1,7,4,5]=>[1,1,2,2,2]=>11101010=>5 [3,4,1,8,7,2,6,5]=>[6,5,8,1,2,7,3,4]=>[1,2,3,2]=>11010010=>5 [2,5,1,7,3,6,8,4]=>[7,4,8,2,6,3,1,5]=>[1,2,2,1,2]=>11010110=>5 [3,1,5,7,2,8,6,4]=>[6,8,4,2,7,1,3,5]=>[2,1,2,3]=>10110100=>5 [3,1,5,7,8,2,6,4]=>[6,8,4,2,1,7,3,5]=>[2,1,1,2,2]=>10111010=>5 [3,8,1,4,7,2,6,5]=>[6,1,8,5,2,7,3,4]=>[1,2,1,2,2]=>11011010=>5 [4,8,1,3,2,7,6,5]=>[5,1,8,6,7,2,3,4]=>[1,2,2,3]=>11010100=>5 [4,1,8,3,2,7,6,5]=>[5,8,1,6,7,2,3,4]=>[2,3,3]=>10100100=>5 [4,1,3,8,2,7,6,5]=>[5,8,6,1,7,2,3,4]=>[2,1,2,3]=>10110100=>5 [1,4,2,3,7,6,5,8]=>[8,5,7,6,2,3,4,1]=>[1,2,1,3,1]=>11011001=>4 [4,3,1,8,2,7,6,5]=>[5,6,8,1,7,2,3,4]=>[3,2,3]=>10010100=>5 [4,3,8,1,2,7,6,5]=>[5,6,1,8,7,2,3,4]=>[2,2,1,3]=>10101100=>5 [4,3,8,2,1,7,6,5]=>[5,6,1,7,8,2,3,4]=>[2,3,3]=>10100100=>5 [3,4,2,8,7,1,6,5]=>[6,5,7,1,2,8,3,4]=>[1,2,3,2]=>11010010=>5 [3,8,4,2,7,1,6,5]=>[6,1,5,7,2,8,3,4]=>[1,3,2,2]=>11001010=>5 [2,8,4,3,7,6,1,5]=>[7,1,5,6,2,3,8,4]=>[1,3,3,1]=>11001001=>4 [2,4,3,8,7,6,1,5]=>[7,5,6,1,2,3,8,4]=>[1,2,4,1]=>11010001=>4 [2,4,5,7,6,1,8,3]=>[7,5,4,2,3,8,1,6]=>[1,1,1,3,2]=>11110010=>3 [2,4,5,7,6,8,1,3]=>[7,5,4,2,3,1,8,6]=>[1,1,1,2,2,1]=>11110101=>4 [2,3,5,7,8,6,1,4]=>[7,6,4,2,1,3,8,5]=>[1,1,1,1,3,1]=>11111001=>2 [2,3,8,4,7,6,1,5]=>[7,6,1,5,2,3,8,4]=>[1,1,2,3,1]=>11101001=>4 [3,8,2,4,7,1,6,5]=>[6,1,7,5,2,8,3,4]=>[1,2,1,2,2]=>11011010=>5 [3,2,4,8,7,1,6,5]=>[6,7,5,1,2,8,3,4]=>[2,1,3,2]=>10110010=>5 [3,2,5,7,1,8,6,4]=>[6,7,4,2,8,1,3,5]=>[2,1,2,3]=>10110100=>5 [2,3,5,7,1,6,8,4]=>[7,6,4,2,8,3,1,5]=>[1,1,1,2,1,2]=>11110110=>3 [4,2,3,8,1,7,6,5]=>[5,7,6,1,8,2,3,4]=>[2,1,2,3]=>10110100=>5 [4,8,2,3,1,7,6,5]=>[5,1,7,6,8,2,3,4]=>[1,2,2,3]=>11010100=>5 [4,8,2,1,3,7,6,5]=>[5,1,7,8,6,2,3,4]=>[1,3,1,3]=>11001100=>3 [4,2,8,1,3,7,6,5]=>[5,7,1,8,6,2,3,4]=>[2,2,1,3]=>10101100=>5 [3,1,2,4,7,8,6,5]=>[6,8,7,5,2,1,3,4]=>[2,1,1,1,3]=>10111100=>3 [3,5,4,7,2,8,1,6]=>[6,4,5,2,7,1,8,3]=>[1,2,2,2,1]=>11010101=>6 [3,6,4,7,8,2,1,5]=>[6,3,5,2,1,7,8,4]=>[1,2,1,3,1]=>11011001=>4 [2,3,4,6,8,7,1,5]=>[7,6,5,3,1,2,8,4]=>[1,1,1,1,3,1]=>11111001=>2 [5,3,4,6,1,7,8,2]=>[4,6,5,3,8,2,1,7]=>[2,1,2,1,2]=>10110110=>5 [2,5,7,8,6,1,3,4]=>[7,4,2,1,3,8,6,5]=>[1,1,1,3,1,1]=>11110011=>2 [2,4,7,6,8,1,3,5]=>[7,5,2,3,1,8,6,4]=>[1,1,2,2,1,1]=>11101011=>4 [4,6,5,1,7,2,8,3]=>[5,3,4,8,2,7,1,6]=>[1,3,2,2]=>11001010=>5 [5,6,4,7,1,2,8,3]=>[4,3,5,2,8,7,1,6]=>[1,2,2,1,2]=>11010110=>5 [4,6,7,5,8,2,3,1]=>[5,3,2,4,1,7,6,8]=>[1,1,2,2,2]=>11101010=>5 [3,5,1,7,6,8,4,2]=>[6,4,8,2,3,1,5,7]=>[1,2,2,3]=>11010100=>5 [4,5,7,1,6,8,3,2]=>[5,4,2,8,3,1,6,7]=>[1,1,2,1,3]=>11101100=>3 [3,2,7,6,8,1,4,5]=>[6,7,2,3,1,8,5,4]=>[2,2,2,1,1]=>10101011=>6 [6,1,3,5,7,8,4,2]=>[3,8,6,4,2,1,5,7]=>[2,1,1,1,3]=>10111100=>3 [4,5,1,7,6,8,2,3]=>[5,4,8,2,3,1,7,6]=>[1,2,2,2,1]=>11010101=>6 [7,6,1,5,2,8,4,3]=>[2,3,8,4,7,1,5,6]=>[3,2,3]=>10010100=>5 [7,2,8,3,1,6,5,4]=>[2,7,1,6,8,3,4,5]=>[2,3,3]=>10100100=>5 [6,7,2,8,3,1,4,5]=>[3,2,7,1,6,8,5,4]=>[1,2,3,1,1]=>11010011=>4 [3,1,7,6,2,8,4,5]=>[6,8,2,3,7,1,5,4]=>[2,3,2,1]=>10100101=>6 [7,6,3,1,2,8,4,5]=>[2,3,6,8,7,1,5,4]=>[4,1,2,1]=>10001101=>4 [6,2,7,8,4,1,3,5]=>[3,7,2,1,5,8,6,4]=>[2,1,3,1,1]=>10110011=>4 [7,2,6,8,3,4,1,5]=>[2,7,3,1,6,5,8,4]=>[2,1,2,2,1]=>10110101=>6 [7,2,4,1,6,8,3,5]=>[2,7,5,8,3,1,6,4]=>[2,2,1,2,1]=>10101101=>6 [8,3,6,7,2,4,1,5]=>[1,6,3,2,7,5,8,4]=>[2,1,2,2,1]=>10110101=>6 [4,1,8,3,6,7,2,5]=>[5,8,1,6,3,2,7,4]=>[2,2,1,2,1]=>10101101=>6 [6,3,7,8,4,1,2,5]=>[3,6,2,1,5,8,7,4]=>[2,1,3,1,1]=>10110011=>4 [7,8,5,2,4,1,3,6]=>[2,1,4,7,5,8,6,3]=>[1,3,2,1,1]=>11001011=>4 [6,2,3,7,8,4,1,5]=>[3,7,6,2,1,5,8,4]=>[2,1,1,3,1]=>10111001=>4 [7,6,2,3,1,8,4,5]=>[2,3,7,6,8,1,5,4]=>[3,2,2,1]=>10010101=>6 [4,8,5,2,3,1,7,6]=>[5,1,4,7,6,8,2,3]=>[1,3,2,2]=>11001010=>5 [4,2,5,1,3,7,8,6]=>[5,7,4,8,6,2,1,3]=>[2,2,1,1,2]=>10101110=>5 [4,3,5,1,2,7,8,6]=>[5,6,4,8,7,2,1,3]=>[2,2,1,1,2]=>10101110=>5 [3,5,1,4,2,7,8,6]=>[6,4,8,5,7,2,1,3]=>[1,2,2,1,2]=>11010110=>5 [3,4,1,7,8,5,2,6]=>[6,5,8,2,1,4,7,3]=>[1,2,1,3,1]=>11011001=>4 [4,1,3,7,8,5,2,6]=>[5,8,6,2,1,4,7,3]=>[2,1,1,3,1]=>10111001=>4 [8,4,7,5,3,6,2,1]=>[1,5,2,4,6,3,7,8]=>[2,3,3]=>10100100=>5 [6,3,8,4,7,5,2,1]=>[3,6,1,5,2,4,7,8]=>[2,2,4]=>10101000=>5 [8,5,3,1,4,2,7,6]=>[1,4,6,8,5,7,2,3]=>[4,2,2]=>10001010=>5 [3,1,8,5,4,2,7,6]=>[6,8,1,4,5,7,2,3]=>[2,4,2]=>10100010=>5 [8,5,4,3,1,2,7,6]=>[1,4,5,6,8,7,2,3]=>[5,1,2]=>10000110=>3 [7,6,3,5,8,4,2,1]=>[2,3,6,4,1,5,7,8]=>[3,1,4]=>10011000=>3 [8,5,4,2,3,1,7,6]=>[1,4,5,7,6,8,2,3]=>[4,2,2]=>10001010=>5 [8,3,5,6,1,7,2,4]=>[1,6,4,3,8,2,7,5]=>[2,1,2,2,1]=>10110101=>6 [4,5,8,1,2,6,7,3]=>[5,4,1,8,7,3,2,6]=>[1,1,2,1,1,2]=>11101110=>3 [8,3,7,4,6,2,1,5]=>[1,6,2,5,3,7,8,4]=>[2,2,3,1]=>10101001=>6 [4,8,3,5,7,2,1,6]=>[5,1,6,4,2,7,8,3]=>[1,2,1,3,1]=>11011001=>4 [1,2,4,8,7,3,5,6]=>[8,7,5,1,2,6,4,3]=>[1,1,1,3,1,1]=>11110011=>2 [7,2,4,1,3,8,5,6]=>[2,7,5,8,6,1,4,3]=>[2,2,1,2,1]=>10101101=>6 [3,8,2,5,4,1,6,7]=>[6,1,7,4,5,8,3,2]=>[1,2,3,1,1]=>11010011=>4 [8,4,5,2,6,1,7,3]=>[1,5,4,7,3,8,2,6]=>[2,2,2,2]=>10101010=>7 [4,5,6,2,7,8,1,3]=>[5,4,3,7,2,1,8,6]=>[1,1,2,1,2,1]=>11101101=>4 [2,6,7,3,8,1,4,5]=>[7,3,2,6,1,8,5,4]=>[1,1,2,2,1,1]=>11101011=>4 [2,8,6,3,1,7,4,5]=>[7,1,3,6,8,2,5,4]=>[1,4,2,1]=>11000101=>4 [4,7,5,1,2,6,8,3]=>[5,2,4,8,7,3,1,6]=>[1,3,1,1,2]=>11001110=>3 [5,6,1,4,2,8,7,3]=>[4,3,8,5,7,1,2,6]=>[1,2,2,3]=>11010100=>5 [4,5,8,1,3,2,7,6]=>[5,4,1,8,6,7,2,3]=>[1,1,2,2,2]=>11101010=>5 [4,7,1,2,6,3,5,8]=>[5,2,8,7,3,6,4,1]=>[1,2,1,2,1,1]=>11011011=>4 [4,6,8,2,3,7,5,1]=>[5,3,1,7,6,2,4,8]=>[1,1,2,1,3]=>11101100=>3 [4,5,7,2,3,6,1,8]=>[5,4,2,7,6,3,8,1]=>[1,1,2,1,2,1]=>11101101=>4 [2,5,7,3,4,6,8,1]=>[7,4,2,6,5,3,1,8]=>[1,1,2,1,1,2]=>11101110=>3 [7,4,2,1,6,3,5,8]=>[2,5,7,8,3,6,4,1]=>[4,2,1,1]=>10001011=>4 [6,8,2,3,1,4,7,5]=>[3,1,7,6,8,5,2,4]=>[1,2,2,1,2]=>11010110=>5 [2,7,3,4,1,5,6,8]=>[7,2,6,5,8,4,3,1]=>[1,2,2,1,1,1]=>11010111=>4 [6,7,2,3,4,8,1,5]=>[3,2,7,6,5,1,8,4]=>[1,2,1,1,2,1]=>11011101=>4 [7,4,2,1,3,5,8,6]=>[2,5,7,8,6,4,1,3]=>[4,1,1,2]=>10001110=>3 [3,5,2,4,6,7,8,1]=>[6,4,7,5,3,2,1,8]=>[1,2,1,1,1,2]=>11011110=>3 [4,2,6,3,5,7,8,1]=>[5,7,3,6,4,2,1,8]=>[2,2,1,1,2]=>10101110=>5 [5,2,3,7,4,6,8,1]=>[4,7,6,2,5,3,1,8]=>[2,1,2,1,2]=>10110110=>5 [6,2,3,4,8,5,7,1]=>[3,7,6,5,1,4,2,8]=>[2,1,1,2,2]=>10111010=>5 [1,7,5,8,4,2,6,3]=>[8,2,4,1,5,7,3,6]=>[1,2,3,2]=>11010010=>5 [1,4,8,5,6,2,7,3]=>[8,5,1,4,3,7,2,6]=>[1,1,2,2,2]=>11101010=>5 [2,4,8,5,6,1,7,3]=>[7,5,1,4,3,8,2,6]=>[1,1,2,2,2]=>11101010=>5 [6,3,5,8,4,7,1,2]=>[3,6,4,1,5,2,8,7]=>[2,1,2,2,1]=>10110101=>6 [2,8,7,4,5,1,6,3]=>[7,1,2,5,4,8,3,6]=>[1,3,2,2]=>11001010=>5 [1,3,8,5,2,6,7,4]=>[8,6,1,4,7,3,2,5]=>[1,1,3,1,2]=>11100110=>3 [7,2,8,4,5,1,6,3]=>[2,7,1,5,4,8,3,6]=>[2,2,2,2]=>10101010=>7 [6,2,5,8,4,1,7,3]=>[3,7,4,1,5,8,2,6]=>[2,1,3,2]=>10110010=>5 [3,1,8,5,2,6,7,4]=>[6,8,1,4,7,3,2,5]=>[2,3,1,2]=>10100110=>5 [1,2,8,5,3,6,7,4]=>[8,7,1,4,6,3,2,5]=>[1,1,3,1,2]=>11100110=>3 [7,1,3,5,2,6,8,4]=>[2,8,6,4,7,3,1,5]=>[2,1,2,1,2]=>10110110=>5 [5,4,8,2,1,6,7,3]=>[4,5,1,7,8,3,2,6]=>[2,3,1,2]=>10100110=>5 [6,8,3,2,1,5,7,4]=>[3,1,6,7,8,4,2,5]=>[1,4,1,2]=>11000110=>3 [7,8,2,4,1,5,6,3]=>[2,1,7,5,8,4,3,6]=>[1,2,2,1,2]=>11010110=>5 [6,2,3,5,1,7,8,4]=>[3,7,6,4,8,2,1,5]=>[2,1,2,1,2]=>10110110=>5 [1,7,3,5,2,6,8,4]=>[8,2,6,4,7,3,1,5]=>[1,2,2,1,2]=>11010110=>5 [8,5,3,2,1,6,7,4]=>[1,4,6,7,8,3,2,5]=>[5,1,2]=>10000110=>3 [2,7,5,1,3,6,8,4]=>[7,2,4,8,6,3,1,5]=>[1,3,1,1,2]=>11001110=>3 [1,7,5,2,3,6,8,4]=>[8,2,4,7,6,3,1,5]=>[1,3,1,1,2]=>11001110=>3 [2,8,1,5,3,6,7,4]=>[7,1,8,4,6,3,2,5]=>[1,2,2,1,2]=>11010110=>5 [3,8,1,5,2,6,7,4]=>[6,1,8,4,7,3,2,5]=>[1,2,2,1,2]=>11010110=>5 [4,8,1,5,6,2,7,3]=>[5,1,8,4,3,7,2,6]=>[1,2,1,2,2]=>11011010=>5 [7,8,4,1,5,2,6,3]=>[2,1,5,8,4,7,3,6]=>[1,3,2,2]=>11001010=>5 [5,4,3,1,2,7,8,6]=>[4,5,6,8,7,2,1,3]=>[4,1,1,2]=>10001110=>3 [7,3,1,5,2,6,8,4]=>[2,6,8,4,7,3,1,5]=>[3,2,1,2]=>10010110=>5 [7,1,5,2,3,6,8,4]=>[2,8,4,7,6,3,1,5]=>[2,2,1,1,2]=>10101110=>5 [8,1,2,5,3,6,7,4]=>[1,8,7,4,6,3,2,5]=>[2,1,2,1,2]=>10110110=>5 [8,4,1,6,3,7,2,5]=>[1,5,8,3,6,2,7,4]=>[3,2,2,1]=>10010101=>6 [6,3,5,8,1,7,2,4]=>[3,6,4,1,8,2,7,5]=>[2,1,2,2,1]=>10110101=>6 [6,7,5,3,8,2,1,4]=>[3,2,4,6,1,7,8,5]=>[1,3,3,1]=>11001001=>4 [6,5,7,4,2,8,1,3]=>[3,4,2,5,7,1,8,6]=>[2,3,2,1]=>10100101=>6 [6,5,2,1,4,8,7,3]=>[3,4,7,8,5,1,2,6]=>[4,1,3]=>10001100=>3 [5,2,6,8,3,7,1,4]=>[4,7,3,1,6,2,8,5]=>[2,1,2,2,1]=>10110101=>6 [4,2,5,8,6,7,1,3]=>[5,7,4,1,3,2,8,6]=>[2,1,2,2,1]=>10110101=>6 [5,8,6,3,4,1,7,2]=>[4,1,3,6,5,8,2,7]=>[1,3,2,2]=>11001010=>5 [6,3,4,1,5,8,7,2]=>[3,6,5,8,4,1,2,7]=>[2,2,1,3]=>10101100=>5 [5,4,6,1,7,2,3,8]=>[4,5,3,8,2,7,6,1]=>[2,2,2,1,1]=>10101011=>6 [7,5,4,1,8,6,2,3]=>[2,4,5,8,1,3,7,6]=>[4,3,1]=>10001001=>4 [8,7,2,3,5,6,4,1]=>[1,2,7,6,4,3,5,8]=>[3,1,1,3]=>10011100=>3 [3,7,2,4,1,8,6,5]=>[6,2,7,5,8,1,3,4]=>[1,2,2,3]=>11010100=>5 [3,7,2,4,1,5,8,6]=>[6,2,7,5,8,4,1,3]=>[1,2,2,1,2]=>11010110=>5 [8,2,7,5,3,4,6,1]=>[1,7,2,4,6,5,3,8]=>[2,3,1,2]=>10100110=>5 [7,8,3,4,1,2,6,5]=>[2,1,6,5,8,7,3,4]=>[1,2,2,1,2]=>11010110=>5 [8,2,1,7,4,6,5,3]=>[1,7,8,2,5,3,4,6]=>[3,2,3]=>10010100=>5 [2,7,6,5,3,8,4,1]=>[7,2,3,4,6,1,5,8]=>[1,4,3]=>11000100=>3 [5,7,6,8,1,3,4,2]=>[4,2,3,1,8,6,5,7]=>[1,2,2,1,2]=>11010110=>5 [6,1,5,3,7,4,2,8]=>[3,8,4,6,2,5,7,1]=>[2,2,3,1]=>10101001=>6 [5,3,7,6,8,4,2,1]=>[4,6,2,3,1,5,7,8]=>[2,2,4]=>10101000=>5 [3,6,7,1,2,5,4,8]=>[6,3,2,8,7,4,5,1]=>[1,1,2,1,2,1]=>11101101=>4 [8,5,7,4,2,3,1,6]=>[1,4,2,5,7,6,8,3]=>[2,3,2,1]=>10100101=>6 [2,4,8,3,5,7,1,6]=>[7,5,1,6,4,2,8,3]=>[1,1,2,1,2,1]=>11101101=>4 [8,1,7,2,4,3,5,6]=>[1,8,2,7,5,6,4,3]=>[2,2,2,1,1]=>10101011=>6 [1,3,8,2,4,7,5,6]=>[8,6,1,7,5,2,4,3]=>[1,1,2,1,2,1]=>11101101=>4 [1,7,3,2,4,6,5,8]=>[8,2,6,7,5,3,4,1]=>[1,3,1,2,1]=>11001101=>4 [1,8,3,7,4,2,5,6]=>[8,1,6,2,5,7,4,3]=>[1,2,3,1,1]=>11010011=>4 [8,7,3,1,4,2,5,6]=>[1,2,6,8,5,7,4,3]=>[4,2,1,1]=>10001011=>4 [3,2,8,7,4,1,5,6]=>[6,7,1,2,5,8,4,3]=>[2,4,1,1]=>10100011=>4 [3,2,1,7,4,6,5,8]=>[6,7,8,2,5,3,4,1]=>[3,2,2,1]=>10010101=>6 [3,2,6,5,1,7,8,4]=>[6,7,3,4,8,2,1,5]=>[2,3,1,2]=>10100110=>5 [5,3,2,6,7,1,8,4]=>[4,6,7,3,2,8,1,5]=>[3,1,2,2]=>10011010=>5 [3,2,8,6,7,4,1,5]=>[6,7,1,3,2,5,8,4]=>[2,2,3,1]=>10101001=>6 [8,4,6,2,7,3,1,5]=>[1,5,3,7,2,6,8,4]=>[2,2,3,1]=>10101001=>6 [4,3,8,6,7,2,1,5]=>[5,6,1,3,2,7,8,4]=>[2,2,3,1]=>10101001=>6 [4,3,6,2,8,7,1,5]=>[5,6,3,7,1,2,8,4]=>[2,2,3,1]=>10101001=>6 [3,8,4,7,6,5,1,2]=>[6,1,5,2,3,4,8,7]=>[1,2,4,1]=>11010001=>4 [7,8,4,2,6,3,5,1]=>[2,1,5,7,3,6,4,8]=>[1,3,2,2]=>11001010=>5 [3,2,7,5,6,8,4,1]=>[6,7,2,4,3,1,5,8]=>[2,2,1,3]=>10101100=>5 [5,7,8,6,3,2,4,1]=>[4,2,1,3,6,7,5,8]=>[1,1,4,2]=>11100010=>3 [6,5,4,2,1,7,8,3]=>[3,4,5,7,8,2,1,6]=>[5,1,2]=>10000110=>3 [5,4,2,1,7,6,3,8]=>[4,5,7,8,2,3,6,1]=>[4,3,1]=>10001001=>4 [4,1,6,5,2,7,8,3]=>[5,8,3,4,7,2,1,6]=>[2,3,1,2]=>10100110=>5 [5,4,1,6,7,2,8,3]=>[4,5,8,3,2,7,1,6]=>[3,1,2,2]=>10011010=>5 [6,8,5,3,1,7,2,4]=>[3,1,4,6,8,2,7,5]=>[1,4,2,1]=>11000101=>4 [5,2,6,3,8,7,1,4]=>[4,7,3,6,1,2,8,5]=>[2,2,3,1]=>10101001=>6 [8,6,1,7,3,4,2,5]=>[1,3,8,2,6,5,7,4]=>[3,2,2,1]=>10010101=>6 [1,8,3,6,7,4,2,5]=>[8,1,6,3,2,5,7,4]=>[1,2,1,3,1]=>11011001=>4 [1,6,3,5,2,7,8,4]=>[8,3,6,4,7,2,1,5]=>[1,2,2,1,2]=>11010110=>5 [1,5,7,3,2,6,4,8]=>[8,4,2,6,7,3,5,1]=>[1,1,3,2,1]=>11100101=>4 [5,1,3,7,2,6,4,8]=>[4,8,6,2,7,3,5,1]=>[2,1,2,2,1]=>10110101=>6 [8,1,6,7,2,4,3,5]=>[1,8,3,2,7,5,6,4]=>[2,1,2,2,1]=>10110101=>6 [6,1,4,8,2,7,3,5]=>[3,8,5,1,7,2,6,4]=>[2,1,2,2,1]=>10110101=>6 [6,2,4,8,3,7,1,5]=>[3,7,5,1,6,2,8,4]=>[2,1,2,2,1]=>10110101=>6 [8,7,2,6,3,5,1,4]=>[1,2,7,3,6,4,8,5]=>[3,2,2,1]=>10010101=>6 [8,1,7,6,5,2,3,4]=>[1,8,2,3,4,7,6,5]=>[2,4,1,1]=>10100011=>4 [7,1,5,6,8,2,4,3]=>[2,8,4,3,1,7,5,6]=>[2,1,1,2,2]=>10111010=>5 [6,7,1,5,2,4,8,3]=>[3,2,8,4,7,5,1,6]=>[1,2,2,1,2]=>11010110=>5 [7,6,1,5,2,4,3,8]=>[2,3,8,4,7,5,6,1]=>[3,2,2,1]=>10010101=>6 [7,1,6,3,5,4,2,8]=>[2,8,3,6,4,5,7,1]=>[2,2,3,1]=>10101001=>6 [1,6,7,3,5,4,8,2]=>[8,3,2,6,4,5,1,7]=>[1,1,2,2,2]=>11101010=>5 [1,7,3,5,6,8,4,2]=>[8,2,6,4,3,1,5,7]=>[1,2,1,1,3]=>11011100=>3 [1,7,8,3,6,4,5,2]=>[8,2,1,6,3,5,4,7]=>[1,1,2,2,2]=>11101010=>5 [1,8,7,6,4,5,2,3]=>[8,1,2,3,5,4,7,6]=>[1,4,2,1]=>11000101=>4 [8,2,7,4,6,5,1,3]=>[1,7,2,5,3,4,8,6]=>[2,2,3,1]=>10101001=>6 [2,8,5,7,6,4,1,3]=>[7,1,4,2,3,5,8,6]=>[1,2,4,1]=>11010001=>4 [7,4,5,1,6,8,3,2]=>[2,5,4,8,3,1,6,7]=>[2,2,1,3]=>10101100=>5 [4,1,7,5,6,8,3,2]=>[5,8,2,4,3,1,6,7]=>[2,2,1,3]=>10101100=>5 [5,6,7,4,3,1,8,2]=>[4,3,2,5,6,8,1,7]=>[1,1,4,2]=>11100010=>3 [6,7,8,5,3,1,4,2]=>[3,2,1,4,6,8,5,7]=>[1,1,4,2]=>11100010=>3 [1,4,6,2,5,3,7,8]=>[8,5,3,7,4,6,2,1]=>[1,1,2,2,1,1]=>11101011=>4 [1,6,3,2,5,4,7,8]=>[8,3,6,7,4,5,2,1]=>[1,3,2,1,1]=>11001011=>4 [1,6,8,2,5,4,7,3]=>[8,3,1,7,4,5,2,6]=>[1,1,2,2,2]=>11101010=>5 [1,5,4,2,6,3,7,8]=>[8,4,5,7,3,6,2,1]=>[1,3,2,1,1]=>11001011=>4 [1,2,6,4,3,5,7,8]=>[8,7,3,5,6,4,2,1]=>[1,1,3,1,1,1]=>11100111=>2 [1,6,8,2,7,5,4,3]=>[8,3,1,7,2,4,5,6]=>[1,1,2,4]=>11101000=>3 [1,7,4,3,2,6,8,5]=>[8,2,5,6,7,3,1,4]=>[1,4,1,2]=>11000110=>3 [1,5,4,7,2,6,8,3]=>[8,4,5,2,7,3,1,6]=>[1,2,2,1,2]=>11010110=>5 [1,3,7,6,2,8,5,4]=>[8,6,2,3,7,1,4,5]=>[1,1,3,3]=>11100100=>3 [1,7,6,2,8,4,3,5]=>[8,2,3,7,1,5,6,4]=>[1,3,3,1]=>11001001=>4 [1,2,8,5,6,3,4,7]=>[8,7,1,4,3,6,5,2]=>[1,1,2,2,1,1]=>11101011=>4 [1,7,3,5,2,8,6,4]=>[8,2,6,4,7,1,3,5]=>[1,2,2,3]=>11010100=>5 [1,6,7,2,5,8,4,3]=>[8,3,2,7,4,1,5,6]=>[1,1,2,1,3]=>11101100=>3 [1,5,8,3,2,7,4,6]=>[8,4,1,6,7,2,5,3]=>[1,1,3,2,1]=>11100101=>4 [1,4,5,8,2,6,3,7]=>[8,5,4,1,7,3,6,2]=>[1,1,1,2,2,1]=>11110101=>4 [1,7,6,4,8,2,5,3]=>[8,2,3,5,1,7,4,6]=>[1,3,2,2]=>11001010=>5 [1,4,8,6,5,2,7,3]=>[8,5,1,3,4,7,2,6]=>[1,1,4,2]=>11100010=>3 [1,3,8,2,6,5,4,7]=>[8,6,1,7,3,4,5,2]=>[1,1,2,3,1]=>11101001=>4 [1,5,2,7,6,4,8,3]=>[8,4,7,2,3,5,1,6]=>[1,2,3,2]=>11010010=>5 [1,2,4,3,8,7,5,6]=>[8,7,5,6,1,2,4,3]=>[1,1,2,3,1]=>11101001=>4 [1,4,3,8,7,2,5,6]=>[8,5,6,1,2,7,4,3]=>[1,2,3,1,1]=>11010011=>4 [1,7,2,4,8,6,5,3]=>[8,2,7,5,1,3,4,6]=>[1,2,1,4]=>11011000=>3 [1,2,8,6,5,4,3,7]=>[8,7,1,3,4,5,6,2]=>[1,1,5,1]=>11100001=>2 [8,3,1,4,6,5,2,7]=>[1,6,8,5,3,4,7,2]=>[3,1,3,1]=>10011001=>4 [5,8,3,1,2,6,4,7]=>[4,1,6,8,7,3,5,2]=>[1,3,1,2,1]=>11001101=>4 [4,8,1,7,5,2,6,3]=>[5,1,8,2,4,7,3,6]=>[1,2,3,2]=>11010010=>5 [8,5,1,4,2,6,3,7]=>[1,4,8,5,7,3,6,2]=>[3,2,2,1]=>10010101=>6 [8,4,1,3,5,6,2,7]=>[1,5,8,6,4,3,7,2]=>[3,1,1,2,1]=>10011101=>4 [8,5,3,2,1,6,4,7]=>[1,4,6,7,8,3,5,2]=>[5,2,1]=>10000101=>4 [8,1,5,4,2,6,3,7]=>[1,8,4,5,7,3,6,2]=>[2,3,2,1]=>10100101=>6 [8,5,2,4,1,6,3,7]=>[1,4,7,5,8,3,6,2]=>[3,2,2,1]=>10010101=>6 [4,8,7,1,5,2,6,3]=>[5,1,2,8,4,7,3,6]=>[1,3,2,2]=>11001010=>5 [4,8,7,1,5,2,3,6]=>[5,1,2,8,4,7,6,3]=>[1,3,2,1,1]=>11001011=>4 [7,6,8,4,1,3,2,5]=>[2,3,1,5,8,6,7,4]=>[2,3,2,1]=>10100101=>6 [7,6,8,4,1,3,5,2]=>[2,3,1,5,8,6,4,7]=>[2,3,1,2]=>10100110=>5 [4,8,2,7,5,1,3,6]=>[5,1,7,2,4,8,6,3]=>[1,2,3,1,1]=>11010011=>4 [7,6,8,4,1,5,2,3]=>[2,3,1,5,8,4,7,6]=>[2,3,2,1]=>10100101=>6 [8,7,6,1,5,2,3,4]=>[1,2,3,8,4,7,6,5]=>[4,2,1,1]=>10001011=>4 [8,6,2,5,3,4,7,1]=>[1,3,7,4,6,5,2,8]=>[3,2,1,2]=>10010110=>5 [8,6,5,1,3,4,7,2]=>[1,3,4,8,6,5,2,7]=>[4,1,1,2]=>10001110=>3 [8,7,5,1,3,6,2,4]=>[1,2,4,8,6,3,7,5]=>[4,1,2,1]=>10001101=>4 [8,7,1,5,3,6,2,4]=>[1,2,8,4,6,3,7,5]=>[3,2,2,1]=>10010101=>6 [7,1,4,8,3,6,5,2]=>[2,8,5,1,6,3,4,7]=>[2,1,2,3]=>10110100=>5 [7,3,8,2,5,4,6,1]=>[2,6,1,7,4,5,3,8]=>[2,2,2,2]=>10101010=>7 [4,8,1,5,3,7,6,2]=>[5,1,8,4,6,2,3,7]=>[1,2,2,3]=>11010100=>5 [7,4,8,2,6,3,5,1]=>[2,5,1,7,3,6,4,8]=>[2,2,2,2]=>10101010=>7 [7,4,8,2,6,3,1,5]=>[2,5,1,7,3,6,8,4]=>[2,2,3,1]=>10101001=>6 [8,7,3,1,6,4,5,2]=>[1,2,6,8,3,5,4,7]=>[4,2,2]=>10001010=>5 [8,7,3,1,4,6,5,2]=>[1,2,6,8,5,3,4,7]=>[4,1,3]=>10001100=>3 [8,4,3,2,7,5,6,1]=>[1,5,6,7,2,4,3,8]=>[4,2,2]=>10001010=>5 [6,4,1,7,8,5,3,2]=>[3,5,8,2,1,4,6,7]=>[3,1,4]=>10011000=>3 [7,6,3,4,1,8,5,2]=>[2,3,6,5,8,1,4,7]=>[3,2,3]=>10010100=>5 [8,7,3,1,6,2,5,4]=>[1,2,6,8,3,7,4,5]=>[4,2,2]=>10001010=>5 [8,1,7,3,5,6,2,4]=>[1,8,2,6,4,3,7,5]=>[2,2,1,2,1]=>10101101=>6 [8,7,5,2,4,6,1,3]=>[1,2,4,7,5,3,8,6]=>[4,1,2,1]=>10001101=>4 [8,1,7,5,4,6,2,3]=>[1,8,2,4,5,3,7,6]=>[2,3,2,1]=>10100101=>6 [8,7,3,2,6,1,5,4]=>[1,2,6,7,3,8,4,5]=>[4,2,2]=>10001010=>5 [5,3,1,7,6,4,2,8]=>[4,6,8,2,3,5,7,1]=>[3,4,1]=>10010001=>4 [1,8,6,4,2,9,7,5,3]=>[9,2,4,6,8,1,3,5,7]=>[1,4,4]=>110001000=>3 [7,5,3,2,1,6,4,8]=>[2,4,6,7,8,3,5,1]=>[5,2,1]=>10000101=>4 [7,6,5,3,1,4,2,8]=>[2,3,4,6,8,5,7,1]=>[5,2,1]=>10000101=>4 [1,8,6,4,3,2,7,5]=>[8,1,3,5,6,7,2,4]=>[1,5,2]=>11000010=>3 [1,8,7,6,4,2,5,3]=>[8,1,2,3,5,7,4,6]=>[1,5,2]=>11000010=>3 [8,4,6,7,5,3,2,1]=>[1,5,3,2,4,6,7,8]=>[2,1,5]=>10110000=>3 [1,4,8,6,7,5,3,2]=>[8,5,1,3,2,4,6,7]=>[1,1,2,4]=>11101000=>3 [7,3,8,5,6,4,2,1]=>[2,6,1,4,3,5,7,8]=>[2,2,4]=>10101000=>5 [7,6,2,5,8,4,3,1]=>[2,3,7,4,1,5,6,8]=>[3,1,4]=>10011000=>3 [1,7,3,6,8,5,4,2]=>[8,2,6,3,1,4,5,7]=>[1,2,1,4]=>11011000=>3 [8,6,2,5,7,4,3,1]=>[1,3,7,4,2,5,6,8]=>[3,1,4]=>10011000=>3 [7,1,3,6,8,5,4,2]=>[2,8,6,3,1,4,5,7]=>[2,1,1,4]=>10111000=>3 [1,8,3,6,7,5,4,2]=>[8,1,6,3,2,4,5,7]=>[1,2,1,4]=>11011000=>3 [1,8,2,7,5,6,4,3]=>[8,1,7,2,4,3,5,6]=>[1,2,2,3]=>11010100=>5 [8,6,1,7,4,5,3,2]=>[1,3,8,2,5,4,6,7]=>[3,2,3]=>10010100=>5 [8,1,7,6,4,5,3,2]=>[1,8,2,3,5,4,6,7]=>[2,3,3]=>10100100=>5 [7,1,8,6,4,5,3,2]=>[2,8,1,3,5,4,6,7]=>[2,3,3]=>10100100=>5 [1,6,2,5,4,3,7,8]=>[8,3,7,4,5,6,2,1]=>[1,2,3,1,1]=>11010011=>4 [1,8,2,6,4,3,5,7]=>[8,1,7,3,5,6,4,2]=>[1,2,3,1,1]=>11010011=>4 [1,7,2,5,4,6,3,8]=>[8,2,7,4,5,3,6,1]=>[1,2,2,2,1]=>11010101=>6 [1,2,8,3,4,7,5,6]=>[8,7,1,6,5,2,4,3]=>[1,1,2,1,2,1]=>11101101=>4 [8,1,2,3,7,6,4,5]=>[1,8,7,6,2,3,5,4]=>[2,1,1,3,1]=>10111001=>4 [6,5,7,2,3,1,8,4]=>[3,4,2,7,6,8,1,5]=>[2,2,2,2]=>10101010=>7 [6,5,7,2,8,3,4,1]=>[3,4,2,7,1,6,5,8]=>[2,2,2,2]=>10101010=>7 [6,5,7,2,8,1,4,3]=>[3,4,2,7,1,8,5,6]=>[2,2,2,2]=>10101010=>7 [6,2,7,5,8,1,4,3]=>[3,7,2,4,1,8,5,6]=>[2,2,2,2]=>10101010=>7 [6,7,2,5,8,1,4,3]=>[3,2,7,4,1,8,5,6]=>[1,2,1,2,2]=>11011010=>5 [6,7,3,5,8,1,4,2]=>[3,2,6,4,1,8,5,7]=>[1,2,1,2,2]=>11011010=>5 [7,3,6,8,2,4,1,5]=>[2,6,3,1,7,5,8,4]=>[2,1,2,2,1]=>10110101=>6 [6,7,3,5,8,2,4,1]=>[3,2,6,4,1,7,5,8]=>[1,2,1,2,2]=>11011010=>5 [6,3,7,2,4,1,8,5]=>[3,6,2,7,5,8,1,4]=>[2,2,2,2]=>10101010=>7 [6,3,7,5,8,1,4,2]=>[3,6,2,4,1,8,5,7]=>[2,2,2,2]=>10101010=>7 [6,3,7,4,8,2,5,1]=>[3,6,2,5,1,7,4,8]=>[2,2,2,2]=>10101010=>7 [6,3,7,4,8,1,5,2]=>[3,6,2,5,1,8,4,7]=>[2,2,2,2]=>10101010=>7 [6,2,7,4,8,3,5,1]=>[3,7,2,5,1,6,4,8]=>[2,2,2,2]=>10101010=>7 [6,2,7,4,8,1,5,3]=>[3,7,2,5,1,8,4,6]=>[2,2,2,2]=>10101010=>7 [8,7,6,4,2,5,3,1]=>[1,2,3,5,7,4,6,8]=>[5,3]=>10000100=>3 [8,7,4,6,2,3,5,1]=>[1,2,5,3,7,6,4,8]=>[3,2,1,2]=>10010110=>5 [6,8,4,5,7,3,2,1]=>[3,1,5,4,2,6,7,8]=>[1,2,1,4]=>11011000=>3 [4,8,7,1,6,3,5,2]=>[5,1,2,8,3,6,4,7]=>[1,3,2,2]=>11001010=>5 [5,6,4,2,1,7,8,3]=>[4,3,5,7,8,2,1,6]=>[1,4,1,2]=>11000110=>3 [6,7,5,1,4,3,8,2]=>[3,2,4,8,5,6,1,7]=>[1,3,2,2]=>11001010=>5 [6,8,5,1,4,3,7,2]=>[3,1,4,8,5,6,2,7]=>[1,3,2,2]=>11001010=>5 [5,6,4,2,1,8,7,3]=>[4,3,5,7,8,1,2,6]=>[1,4,3]=>11000100=>3 [7,8,5,1,4,3,6,2]=>[2,1,4,8,5,6,3,7]=>[1,3,2,2]=>11001010=>5 [2,7,6,8,3,5,1,4]=>[7,2,3,1,6,4,8,5]=>[1,2,2,2,1]=>11010101=>6 [6,1,7,8,4,3,5,2]=>[3,8,2,1,5,6,4,7]=>[2,1,3,2]=>10110010=>5 [2,7,8,6,4,5,3,1]=>[7,2,1,3,5,4,6,8]=>[1,1,3,3]=>11100100=>3 [4,8,5,6,2,3,1,7]=>[5,1,4,3,7,6,8,2]=>[1,2,2,2,1]=>11010101=>6 [2,6,8,1,3,5,4,7]=>[7,3,1,8,6,4,5,2]=>[1,1,2,1,2,1]=>11101101=>4 [5,2,1,3,6,8,4,7]=>[4,7,8,6,3,1,5,2]=>[3,1,1,2,1]=>10011101=>4 [5,2,3,1,8,7,4,6]=>[4,7,6,8,1,2,5,3]=>[2,2,3,1]=>10101001=>6 [7,2,1,5,3,8,6,4]=>[2,7,8,4,6,1,3,5]=>[3,2,3]=>10010100=>5 [3,2,7,1,6,8,5,4]=>[6,7,2,8,3,1,4,5]=>[2,2,1,3]=>10101100=>5 [5,8,2,7,6,1,3,4]=>[4,1,7,2,3,8,6,5]=>[1,2,3,1,1]=>11010011=>4 [8,6,7,1,3,5,2,4]=>[1,3,2,8,6,4,7,5]=>[2,2,1,2,1]=>10101101=>6 [5,2,1,3,6,7,4,8]=>[4,7,8,6,3,2,5,1]=>[3,1,1,2,1]=>10011101=>4 [7,2,1,8,6,3,5,4]=>[2,7,8,1,3,6,4,5]=>[3,3,2]=>10010010=>5 [3,2,4,8,1,7,6,5]=>[6,7,5,1,8,2,3,4]=>[2,1,2,3]=>10110100=>5 [6,2,7,1,4,8,3,5]=>[3,7,2,8,5,1,6,4]=>[2,2,1,2,1]=>10101101=>6 [4,3,6,8,7,2,1,5]=>[5,6,3,1,2,7,8,4]=>[2,1,4,1]=>10110001=>4 [4,2,3,1,7,5,6,8]=>[5,7,6,8,2,4,3,1]=>[2,2,2,1,1]=>10101011=>6 [6,2,8,1,4,7,3,5]=>[3,7,1,8,5,2,6,4]=>[2,2,1,2,1]=>10101101=>6 [8,2,3,1,4,7,5,6]=>[1,7,6,8,5,2,4,3]=>[2,2,1,2,1]=>10101101=>6 [4,2,3,1,5,8,6,7]=>[5,7,6,8,4,1,3,2]=>[2,2,1,2,1]=>10101101=>6 [4,2,1,3,5,6,7,8,9]=>[6,8,9,7,5,4,3,2,1]=>[3,1,1,1,1,1,1]=>100111111=>2 [5,3,2,1,4,6,7,8,9]=>[5,7,8,9,6,4,3,2,1]=>[4,1,1,1,1,1]=>100011111=>2 [6,4,3,2,1,5,7,8,9]=>[4,6,7,8,9,5,3,2,1]=>[5,1,1,1,1]=>100001111=>2 [7,5,4,3,2,1,6,8,9]=>[3,5,6,7,8,9,4,2,1]=>[6,1,1,1]=>100000111=>2 [8,6,5,4,3,2,1,7,9]=>[2,4,5,6,7,8,9,3,1]=>[7,1,1]=>100000011=>2 [9,7,5,3,8,2,6,1,4]=>[1,3,5,7,2,8,4,9,6]=>[4,2,2,1]=>100010101=>6 [2,4,8,7,5,3,1,6]=>[7,5,1,2,4,6,8,3]=>[1,1,5,1]=>11100001=>2 [2,6,8,7,5,3,4,1]=>[7,3,1,2,4,6,5,8]=>[1,1,4,2]=>11100010=>3 [2,6,5,1,4,3,8,7]=>[7,3,4,8,5,6,1,2]=>[1,3,2,2]=>11001010=>5 [6,5,1,2,4,3,8,7]=>[3,4,8,7,5,6,1,2]=>[3,1,2,2]=>10011010=>5 [4,6,5,3,1,2,8,7]=>[5,3,4,6,8,7,1,2]=>[1,4,1,2]=>11000110=>3 [4,8,7,5,3,1,2,6]=>[5,1,2,4,6,8,7,3]=>[1,5,1,1]=>11000011=>2 [4,6,8,7,5,3,1,2]=>[5,3,1,2,4,6,8,7]=>[1,1,5,1]=>11100001=>2 [6,8,7,5,3,1,4,2]=>[3,1,2,4,6,8,5,7]=>[1,5,2]=>11000010=>3 [8,7,5,6,3,1,4,2]=>[1,2,4,3,6,8,5,7]=>[3,3,2]=>10010010=>5 [8,7,3,4,6,5,1,2]=>[1,2,6,5,3,4,8,7]=>[3,1,3,1]=>10011001=>4 [2,1,4,8,7,3,6,5]=>[7,8,5,1,2,6,3,4]=>[2,1,3,2]=>10110010=>5 [4,8,7,3,1,2,6,5]=>[5,1,2,6,8,7,3,4]=>[1,4,1,2]=>11000110=>3 [8,7,3,4,1,2,6,5]=>[1,2,6,5,8,7,3,4]=>[3,2,1,2]=>10010110=>5 [8,7,3,1,6,5,2,4]=>[1,2,6,8,3,4,7,5]=>[4,3,1]=>10001001=>4 [8,7,3,2,6,5,1,4]=>[1,2,6,7,3,4,8,5]=>[4,3,1]=>10001001=>4 [2,8,7,3,4,6,5,1]=>[7,1,2,6,5,3,4,8]=>[1,3,1,3]=>11001100=>3 [2,8,7,3,6,5,1,4]=>[7,1,2,6,3,4,8,5]=>[1,3,3,1]=>11001001=>4 [2,8,7,1,6,5,3,4]=>[7,1,2,8,3,4,6,5]=>[1,3,3,1]=>11001001=>4 [8,7,1,2,6,5,3,4]=>[1,2,8,7,3,4,6,5]=>[3,1,3,1]=>10011001=>4 [8,7,1,2,4,3,6,5]=>[1,2,8,7,5,6,3,4]=>[3,1,2,2]=>10011010=>5 [2,1,8,7,3,4,6,5]=>[7,8,1,2,6,5,3,4]=>[2,3,1,2]=>10100110=>5 [8,7,5,1,2,4,3,6]=>[1,2,4,8,7,5,6,3]=>[4,1,2,1]=>10001101=>4 [2,8,7,1,4,3,6,5]=>[7,1,2,8,5,6,3,4]=>[1,3,2,2]=>11001010=>5 [2,8,7,5,6,3,4,1]=>[7,1,2,4,3,6,5,8]=>[1,3,2,2]=>11001010=>5 [2,4,8,7,3,1,6,5]=>[7,5,1,2,6,8,3,4]=>[1,1,4,2]=>11100010=>3 [2,8,7,3,1,4,6,5]=>[7,1,2,6,8,5,3,4]=>[1,4,1,2]=>11000110=>3 [2,4,3,1,8,7,5,6]=>[7,5,6,8,1,2,4,3]=>[1,3,3,1]=>11001001=>4 [4,3,1,2,6,8,7,5]=>[5,6,8,7,3,1,2,4]=>[3,1,1,3]=>10011100=>3 [2,8,7,5,6,3,1,4]=>[7,1,2,4,3,6,8,5]=>[1,3,3,1]=>11001001=>4 [2,8,7,5,3,1,6,4]=>[7,1,2,4,6,8,3,5]=>[1,5,2]=>11000010=>3 [2,8,7,5,3,6,4,1]=>[7,1,2,4,6,3,5,8]=>[1,4,3]=>11000100=>3 [6,8,7,5,1,2,4,3]=>[3,1,2,4,8,7,5,6]=>[1,4,1,2]=>11000110=>3 [8,7,5,6,1,2,4,3]=>[1,2,4,3,8,7,5,6]=>[3,2,1,2]=>10010110=>5 [8,7,1,2,4,6,5,3]=>[1,2,8,7,5,3,4,6]=>[3,1,1,3]=>10011100=>3 [2,4,8,7,3,6,5,1]=>[7,5,1,2,6,3,4,8]=>[1,1,3,3]=>11100100=>3 [8,7,2,4,3,6,5,1]=>[1,2,7,5,6,3,4,8]=>[3,2,3]=>10010100=>5 [8,7,5,3,1,2,6,4]=>[1,2,4,6,8,7,3,5]=>[5,1,2]=>10000110=>3 [8,7,5,3,6,4,1,2]=>[1,2,4,6,3,5,8,7]=>[4,3,1]=>10001001=>4 [8,7,1,4,3,6,5,2]=>[1,2,8,5,6,3,4,7]=>[3,2,3]=>10010100=>5 [8,7,3,4,1,6,5,2]=>[1,2,6,5,8,3,4,7]=>[3,2,3]=>10010100=>5 [8,1,2,3,4,5,7,6,9]=>[2,9,8,7,6,5,3,4,1]=>[2,1,1,1,1,2,1]=>101111101=>4 [7,1,2,3,5,4,6,8]=>[2,8,7,6,4,5,3,1]=>[2,1,1,2,1,1]=>10111011=>4 [7,1,2,6,4,5,3,8]=>[2,8,7,3,5,4,6,1]=>[2,1,2,2,1]=>10110101=>6 [7,1,2,4,3,5,6,8]=>[2,8,7,5,6,4,3,1]=>[2,1,2,1,1,1]=>10110111=>4 [4,7,3,6,5,1,2,8]=>[5,2,6,3,4,8,7,1]=>[1,2,3,1,1]=>11010011=>4 [5,2,6,3,7,1,4,8]=>[4,7,3,6,2,8,5,1]=>[2,2,2,1,1]=>10101011=>6 [6,5,4,1,3,8,7,2]=>[3,4,5,8,6,1,2,7]=>[4,1,3]=>10001100=>3 [7,5,4,2,8,3,1,6]=>[2,4,5,7,1,6,8,3]=>[4,3,1]=>10001001=>4 [2,5,8,6,1,4,3,7]=>[7,4,1,3,8,5,6,2]=>[1,1,3,2,1]=>11100101=>4 [8,3,6,1,5,2,4,7]=>[1,6,3,8,4,7,5,2]=>[2,2,2,1,1]=>10101011=>6 [3,1,6,8,5,7,2,4]=>[6,8,3,1,4,2,7,5]=>[2,1,2,2,1]=>10110101=>6 [4,6,1,8,2,5,7,3]=>[5,3,8,1,7,4,2,6]=>[1,2,2,1,2]=>11010110=>5 [2,5,6,1,8,4,7,3]=>[7,4,3,8,1,5,2,6]=>[1,1,2,2,2]=>11101010=>5 [2,6,5,1,8,4,7,3]=>[7,3,4,8,1,5,2,6]=>[1,3,2,2]=>11001010=>5 [7,5,4,1,2,8,6,3]=>[2,4,5,8,7,1,3,6]=>[4,1,3]=>10001100=>3 [5,7,2,1,8,4,6,3]=>[4,2,7,8,1,5,3,6]=>[1,3,2,2]=>11001010=>5 [8,4,2,7,1,5,3,6]=>[1,5,7,2,8,4,6,3]=>[3,2,2,1]=>10010101=>6 [7,2,8,6,4,3,1,5]=>[2,7,1,3,5,6,8,4]=>[2,5,1]=>10100001=>4 [7,6,3,2,8,4,1,5]=>[2,3,6,7,1,5,8,4]=>[4,3,1]=>10001001=>4 [7,2,8,5,3,1,4,6]=>[2,7,1,4,6,8,5,3]=>[2,4,1,1]=>10100011=>4 [5,8,3,7,4,2,1,6]=>[4,1,6,2,5,7,8,3]=>[1,2,4,1]=>11010001=>4 [4,1,7,3,5,8,6,2]=>[5,8,2,6,4,1,3,7]=>[2,2,1,3]=>10101100=>5 [8,4,7,3,5,2,1,6]=>[1,5,2,6,4,7,8,3]=>[2,2,3,1]=>10101001=>6 [5,4,8,1,3,2,6,7]=>[4,5,1,8,6,7,3,2]=>[2,2,2,1,1]=>10101011=>6 [4,5,8,2,1,3,6,7]=>[5,4,1,7,8,6,3,2]=>[1,1,3,1,1,1]=>11100111=>2 [8,1,3,5,2,4,6,7]=>[1,8,6,4,7,5,3,2]=>[2,1,2,1,1,1]=>10110111=>4 [1,8,3,5,7,2,4,6]=>[8,1,6,4,2,7,5,3]=>[1,2,1,2,1,1]=>11011011=>4 [8,1,4,7,3,2,6,5]=>[1,8,5,2,6,7,3,4]=>[2,1,3,2]=>10110010=>5 [5,3,7,1,2,8,6,4]=>[4,6,2,8,7,1,3,5]=>[2,2,1,3]=>10101100=>5 [6,5,1,3,8,2,7,4]=>[3,4,8,6,1,7,2,5]=>[3,1,2,2]=>10011010=>5 [8,6,2,1,3,7,5,4]=>[1,3,7,8,6,2,4,5]=>[4,1,3]=>10001100=>3 [8,1,4,2,7,6,3,5]=>[1,8,5,7,2,3,6,4]=>[2,2,3,1]=>10101001=>6 [1,8,7,4,6,2,5,3]=>[8,1,2,5,3,7,4,6]=>[1,3,2,2]=>11001010=>5 [1,8,5,7,2,6,4,3]=>[8,1,4,2,7,3,5,6]=>[1,2,2,3]=>11010100=>5 [1,3,4,5,6,7,8,2,9]=>[9,7,6,5,4,3,2,8,1]=>[1,1,1,1,1,1,2,1]=>111111101=>2 [1,5,7,3,6,8,2,4]=>[8,4,2,6,3,1,7,5]=>[1,1,2,1,2,1]=>11101101=>4 [8,4,6,2,5,7,1,3]=>[1,5,3,7,4,2,8,6]=>[2,2,1,2,1]=>10101101=>6 [1,3,4,7,6,8,2,5]=>[8,6,5,2,3,1,7,4]=>[1,1,1,2,2,1]=>11110101=>4 [8,1,3,6,7,4,2,5]=>[1,8,6,3,2,5,7,4]=>[2,1,1,3,1]=>10111001=>4 [1,2,4,7,8,5,3,6]=>[8,7,5,2,1,4,6,3]=>[1,1,1,1,3,1]=>11111001=>2 [3,1,4,7,6,8,2,5]=>[6,8,5,2,3,1,7,4]=>[2,1,2,2,1]=>10110101=>6 [4,1,3,7,6,8,2,5]=>[5,8,6,2,3,1,7,4]=>[2,1,2,2,1]=>10110101=>6 [5,1,7,3,6,8,2,4]=>[4,8,2,6,3,1,7,5]=>[2,2,1,2,1]=>10101101=>6 [6,7,8,2,4,5,1,3]=>[3,2,1,7,5,4,8,6]=>[1,1,2,1,2,1]=>11101101=>4 [5,8,6,2,4,7,1,3]=>[4,1,3,7,5,2,8,6]=>[1,3,1,2,1]=>11001101=>4 [3,8,2,6,5,7,1,4]=>[6,1,7,3,4,2,8,5]=>[1,2,2,2,1]=>11010101=>6 [2,8,3,6,7,4,1,5]=>[7,1,6,3,2,5,8,4]=>[1,2,1,3,1]=>11011001=>4 [8,7,2,5,6,3,1,4]=>[1,2,7,4,3,6,8,5]=>[3,1,3,1]=>10011001=>4 [8,7,1,6,4,3,2,5]=>[1,2,8,3,5,6,7,4]=>[3,4,1]=>10010001=>4 [1,8,2,7,5,4,3,6]=>[8,1,7,2,4,5,6,3]=>[1,2,4,1]=>11010001=>4 [3,8,1,7,5,4,2,6]=>[6,1,8,2,4,5,7,3]=>[1,2,4,1]=>11010001=>4 [5,8,6,1,7,3,2,4]=>[4,1,3,8,2,6,7,5]=>[1,3,3,1]=>11001001=>4 [6,7,1,2,8,4,3,5]=>[3,2,8,7,1,5,6,4]=>[1,2,1,3,1]=>11011001=>4 [2,1,3,8,6,5,4,7]=>[7,8,6,1,3,4,5,2]=>[2,1,4,1]=>10110001=>4 [8,2,1,7,5,4,3,6]=>[1,7,8,2,4,5,6,3]=>[3,4,1]=>10010001=>4 [1,3,2,8,6,5,4,7]=>[8,6,7,1,3,4,5,2]=>[1,2,4,1]=>11010001=>4 [3,4,1,7,6,8,2,5]=>[6,5,8,2,3,1,7,4]=>[1,2,2,2,1]=>11010101=>6 [2,5,7,1,8,4,3,6]=>[7,4,2,8,1,5,6,3]=>[1,1,2,3,1]=>11101001=>4 [3,5,7,1,6,8,2,4]=>[6,4,2,8,3,1,7,5]=>[1,1,2,1,2,1]=>11101101=>4 [4,5,7,6,1,8,2,3]=>[5,4,2,3,8,1,7,6]=>[1,1,3,2,1]=>11100101=>4 [5,4,7,6,8,3,1,2]=>[4,5,2,3,1,6,8,7]=>[2,2,3,1]=>10101001=>6 [1,5,7,8,6,3,2,4]=>[8,4,2,1,3,6,7,5]=>[1,1,1,4,1]=>11110001=>2 [8,4,6,7,5,2,1,3]=>[1,5,3,2,4,7,8,6]=>[2,1,4,1]=>10110001=>4 [8,3,7,5,6,2,1,4]=>[1,6,2,4,3,7,8,5]=>[2,2,3,1]=>10101001=>6 [1,4,8,6,7,3,2,5]=>[8,5,1,3,2,6,7,4]=>[1,1,2,3,1]=>11101001=>4 [2,4,8,6,7,3,1,5]=>[7,5,1,3,2,6,8,4]=>[1,1,2,3,1]=>11101001=>4 [2,3,8,7,5,4,1,6]=>[7,6,1,2,4,5,8,3]=>[1,1,5,1]=>11100001=>2 [1,3,8,7,5,4,2,6]=>[8,6,1,2,4,5,7,3]=>[1,1,5,1]=>11100001=>2 [8,2,7,6,4,3,1,5]=>[1,7,2,3,5,6,8,4]=>[2,5,1]=>10100001=>4 [8,1,7,6,4,3,2,5]=>[1,8,2,3,5,6,7,4]=>[2,5,1]=>10100001=>4 [4,1,8,6,7,3,2,5]=>[5,8,1,3,2,6,7,4]=>[2,2,3,1]=>10101001=>6 [4,8,7,5,6,2,1,3]=>[5,1,2,4,3,7,8,6]=>[1,3,3,1]=>11001001=>4 [5,6,8,1,7,4,3,2]=>[4,3,1,8,2,5,6,7]=>[1,1,2,4]=>11101000=>3 [1,3,9,8,7,6,5,4,2]=>[9,7,1,2,3,4,5,6,8]=>[1,1,7]=>111000000=>1 [8,7,1,9,6,5,4,3,2]=>[2,3,9,1,4,5,6,7,8]=>[3,6]=>100100000=>3 [4,1,8,7,3,6,5,2]=>[5,8,1,2,6,3,4,7]=>[2,3,3]=>10100100=>5 [5,6,8,4,1,7,3,2]=>[4,3,1,5,8,2,6,7]=>[1,1,3,3]=>11100100=>3 [4,5,8,7,3,1,6,2]=>[5,4,1,2,6,8,3,7]=>[1,1,4,2]=>11100010=>3 [8,7,6,1,9,5,4,3,2]=>[2,3,4,9,1,5,6,7,8]=>[4,5]=>100010000=>3 [3,1,8,4,7,6,5,2]=>[6,8,1,5,2,3,4,7]=>[2,2,4]=>10101000=>5 [1,5,8,4,3,7,6,2]=>[8,4,1,5,6,2,3,7]=>[1,1,3,3]=>11100100=>3 [8,1,7,2,5,6,4,3]=>[1,8,2,7,4,3,5,6]=>[2,2,1,3]=>10101100=>5 [8,1,3,5,2,7,6,4]=>[1,8,6,4,7,2,3,5]=>[2,1,2,3]=>10110100=>5 [2,7,1,5,4,8,6,3]=>[7,2,8,4,5,1,3,6]=>[1,2,2,3]=>11010100=>5 [8,6,2,4,3,7,5,1]=>[1,3,7,5,6,2,4,8]=>[3,2,3]=>10010100=>5 [2,4,1,6,7,5,8,3]=>[7,5,8,3,2,4,1,6]=>[1,2,1,2,2]=>11011010=>5 [8,1,4,5,6,3,7,2]=>[1,8,5,4,3,6,2,7]=>[2,1,1,2,2]=>10111010=>5 [8,1,4,5,6,2,7,3]=>[1,8,5,4,3,7,2,6]=>[2,1,1,2,2]=>10111010=>5 [8,1,4,7,6,2,5,3]=>[1,8,5,2,3,7,4,6]=>[2,1,3,2]=>10110010=>5 [2,5,1,7,8,6,4,3]=>[7,4,8,2,1,3,5,6]=>[1,2,1,4]=>11011000=>3 [3,5,6,2,8,7,4,1]=>[6,4,3,7,1,2,5,8]=>[1,1,2,4]=>11101000=>3 [2,4,5,1,7,6,3,8]=>[7,5,4,8,2,3,6,1]=>[1,1,2,3,1]=>11101001=>4 [7,3,1,5,6,4,2,8]=>[2,6,8,4,3,5,7,1]=>[3,1,3,1]=>10011001=>4 [8,3,2,5,6,7,1,4]=>[1,6,7,4,3,2,8,5]=>[3,1,1,2,1]=>10011101=>4 [8,4,5,3,7,6,2,1]=>[1,5,4,6,2,3,7,8]=>[2,2,4]=>10101000=>5 [3,4,5,6,2,8,1,7]=>[6,5,4,3,7,1,8,2]=>[1,1,1,2,2,1]=>11110101=>4 [3,7,4,2,8,5,1,6]=>[6,2,5,7,1,4,8,3]=>[1,3,3,1]=>11001001=>4 [7,3,4,1,6,8,2,5]=>[2,6,5,8,3,1,7,4]=>[2,2,1,2,1]=>10101101=>6 [2,6,3,1,4,7,5,8]=>[7,3,6,8,5,2,4,1]=>[1,3,1,2,1]=>11001101=>4 [7,2,1,6,3,4,8,5]=>[2,7,8,3,6,5,1,4]=>[3,2,1,2]=>10010110=>5 [7,3,4,1,6,5,8,2]=>[2,6,5,8,3,4,1,7]=>[2,2,2,2]=>10101010=>7 [3,7,4,2,5,8,6,1]=>[6,2,5,7,4,1,3,8]=>[1,3,1,3]=>11001100=>3 [2,3,5,1,4,8,7,6]=>[7,6,4,8,5,1,2,3]=>[1,1,2,1,3]=>11101100=>3 [2,7,1,3,6,8,5,4]=>[7,2,8,6,3,1,4,5]=>[1,2,1,1,3]=>11011100=>3 [2,7,1,3,8,4,6,5]=>[7,2,8,6,1,5,3,4]=>[1,2,1,2,2]=>11011010=>5 [3,8,7,1,6,2,5,4]=>[6,1,2,8,3,7,4,5]=>[1,3,2,2]=>11001010=>5 [3,8,7,1,4,5,2,6]=>[6,1,2,8,5,4,7,3]=>[1,3,1,2,1]=>11001101=>4 [3,7,4,2,1,8,6,5]=>[6,2,5,7,8,1,3,4]=>[1,4,3]=>11000100=>3 [4,8,5,7,2,6,3,1]=>[5,1,4,2,7,3,6,8]=>[1,2,2,3]=>11010100=>5 [8,4,5,7,3,2,6,1]=>[1,5,4,2,6,7,3,8]=>[2,1,3,2]=>10110010=>5 [8,3,7,2,4,1,5,6]=>[1,6,2,7,5,8,4,3]=>[2,2,2,1,1]=>10101011=>6 [8,6,7,2,1,4,3,5]=>[1,3,2,7,8,5,6,4]=>[2,3,2,1]=>10100101=>6 [8,3,7,5,1,2,6,4]=>[1,6,2,4,8,7,3,5]=>[2,3,1,2]=>10100110=>5 [7,3,4,6,2,1,5,8]=>[2,6,5,3,7,8,4,1]=>[2,1,3,1,1]=>10110011=>4 [3,7,4,6,1,5,2,8]=>[6,2,5,3,8,4,7,1]=>[1,2,2,2,1]=>11010101=>6 [3,4,7,6,1,2,8,5]=>[6,5,2,3,8,7,1,4]=>[1,1,3,1,2]=>11100110=>3 [4,5,8,7,6,1,3,2]=>[5,4,1,2,3,8,6,7]=>[1,1,4,2]=>11100010=>3 [8,3,6,7,2,5,1,4]=>[1,6,3,2,7,4,8,5]=>[2,1,2,2,1]=>10110101=>6 [8,5,7,2,6,4,1,3]=>[1,4,2,7,3,5,8,6]=>[2,2,3,1]=>10101001=>6 [8,6,3,7,5,1,4,2]=>[1,3,6,2,4,8,5,7]=>[3,3,2]=>10010010=>5 [7,3,8,2,5,6,1,4]=>[2,6,1,7,4,3,8,5]=>[2,2,1,2,1]=>10101101=>6 [8,5,2,6,4,7,1,3]=>[1,4,7,3,5,2,8,6]=>[3,2,2,1]=>10010101=>6 [8,7,3,5,6,1,4,2]=>[1,2,6,4,3,8,5,7]=>[3,1,2,2]=>10011010=>5 [7,6,3,8,1,4,5,2]=>[2,3,6,1,8,5,4,7]=>[3,2,1,2]=>10010110=>5 [7,4,2,5,6,1,8,3]=>[2,5,7,4,3,8,1,6]=>[3,1,2,2]=>10011010=>5 [8,5,2,7,6,1,3,4]=>[1,4,7,2,3,8,6,5]=>[3,3,1,1]=>10010011=>4 [8,7,3,1,4,5,2,6]=>[1,2,6,8,5,4,7,3]=>[4,1,2,1]=>10001101=>4 [6,4,7,2,1,5,8,3]=>[3,5,2,7,8,4,1,6]=>[2,3,1,2]=>10100110=>5 [8,4,2,5,1,6,7,3]=>[1,5,7,4,8,3,2,6]=>[3,2,1,2]=>10010110=>5 [8,5,3,1,6,4,7,2]=>[1,4,6,8,3,5,2,7]=>[4,2,2]=>10001010=>5 [8,7,3,1,4,5,6,2]=>[1,2,6,8,5,4,3,7]=>[4,1,1,2]=>10001110=>3 [8,7,4,1,5,6,2,3]=>[1,2,5,8,4,3,7,6]=>[4,1,2,1]=>10001101=>4 [8,6,4,1,7,5,2,3]=>[1,3,5,8,2,4,7,6]=>[4,3,1]=>10001001=>4 [8,6,3,1,7,4,5,2]=>[1,3,6,8,2,5,4,7]=>[4,2,2]=>10001010=>5 [8,5,3,1,6,7,4,2]=>[1,4,6,8,3,2,5,7]=>[4,1,3]=>10001100=>3 [8,5,3,7,1,6,4,2]=>[1,4,6,2,8,3,5,7]=>[3,2,3]=>10010100=>5 [7,6,3,8,1,4,2,5]=>[2,3,6,1,8,5,7,4]=>[3,2,2,1]=>10010101=>6 [7,4,8,2,6,1,5,3]=>[2,5,1,7,3,8,4,6]=>[2,2,2,2]=>10101010=>7 [4,6,3,5,2,1,7,8]=>[5,3,6,4,7,8,2,1]=>[1,2,3,1,1]=>11010011=>4 [6,4,7,3,1,5,2,8]=>[3,5,2,6,8,4,7,1]=>[2,3,2,1]=>10100101=>6 [7,4,5,3,1,2,8,6]=>[2,5,4,6,8,7,1,3]=>[2,3,1,2]=>10100110=>5 [8,5,3,6,1,2,7,4]=>[1,4,6,3,8,7,2,5]=>[3,2,1,2]=>10010110=>5 [8,5,3,1,6,4,2,7]=>[1,4,6,8,3,5,7,2]=>[4,3,1]=>10001001=>4 [8,7,4,1,5,2,3,6]=>[1,2,5,8,4,7,6,3]=>[4,2,1,1]=>10001011=>4 [8,7,5,1,2,6,3,4]=>[1,2,4,8,7,3,6,5]=>[4,1,2,1]=>10001101=>4 [8,6,4,1,2,7,5,3]=>[1,3,5,8,7,2,4,6]=>[4,1,3]=>10001100=>3 [8,7,4,1,2,5,3,6]=>[1,2,5,8,7,4,6,3]=>[4,1,2,1]=>10001101=>4 [8,7,5,1,2,3,6,4]=>[1,2,4,8,7,6,3,5]=>[4,1,1,2]=>10001110=>3 [6,5,3,7,4,2,1,8]=>[3,4,6,2,5,7,8,1]=>[3,4,1]=>10010001=>4 [1,6,3,8,4,2,5,7]=>[8,3,6,1,5,7,4,2]=>[1,2,3,1,1]=>11010011=>4 [4,7,2,5,3,6,1,8]=>[5,2,7,4,6,3,8,1]=>[1,2,2,2,1]=>11010101=>6 [1,8,6,4,2,5,3,7]=>[8,1,3,5,7,4,6,2]=>[1,4,2,1]=>11000101=>4 [8,2,6,4,1,5,7,3]=>[1,7,3,5,8,4,2,6]=>[2,3,1,2]=>10100110=>5 [7,8,3,4,6,1,5,2]=>[2,1,6,5,3,8,4,7]=>[1,2,1,2,2]=>11011010=>5 [4,8,7,5,3,1,6,2]=>[5,1,2,4,6,8,3,7]=>[1,5,2]=>11000010=>3 [6,1,4,8,3,2,5,7]=>[3,8,5,1,6,7,4,2]=>[2,1,3,1,1]=>10110011=>4 [8,1,6,4,2,7,3,5]=>[1,8,3,5,7,2,6,4]=>[2,3,2,1]=>10100101=>6 [3,1,7,4,2,5,8,6]=>[6,8,2,5,7,4,1,3]=>[2,3,1,2]=>10100110=>5 [1,2,7,4,3,5,6,8]=>[8,7,2,5,6,4,3,1]=>[1,1,3,1,1,1]=>11100111=>2 [6,1,8,5,2,4,3,7]=>[3,8,1,4,7,5,6,2]=>[2,3,2,1]=>10100101=>6 [6,8,2,5,1,4,7,3]=>[3,1,7,4,8,5,2,6]=>[1,2,2,1,2]=>11010110=>5 [4,5,2,1,6,8,7,3]=>[5,4,7,8,3,1,2,6]=>[1,3,1,3]=>11001100=>3 [7,2,8,6,5,1,4,3]=>[2,7,1,3,4,8,5,6]=>[2,4,2]=>10100010=>5 [7,4,8,6,1,5,3,2]=>[2,5,1,3,8,4,6,7]=>[2,3,3]=>10100100=>5 [8,7,2,6,1,4,5,3]=>[1,2,7,3,8,5,4,6]=>[3,2,1,2]=>10010110=>5 [7,6,3,1,2,5,4,8]=>[2,3,6,8,7,4,5,1]=>[4,1,2,1]=>10001101=>4 [8,5,3,1,2,4,7,6]=>[1,4,6,8,7,5,2,3]=>[4,1,1,2]=>10001110=>3 [6,8,4,1,5,2,3,7]=>[3,1,5,8,4,7,6,2]=>[1,3,2,1,1]=>11001011=>4 [3,2,8,1,6,4,5,7]=>[6,7,1,8,3,5,4,2]=>[2,2,2,1,1]=>10101011=>6 [5,2,1,3,7,6,4,8]=>[4,7,8,6,2,3,5,1]=>[3,1,3,1]=>10011001=>4 [5,4,1,2,8,3,7,6]=>[4,5,8,7,1,6,2,3]=>[3,1,2,2]=>10011010=>5 [5,8,4,1,2,3,7,6]=>[4,1,5,8,7,6,2,3]=>[1,3,1,1,2]=>11001110=>3 [7,1,2,5,3,4,6,8]=>[2,8,7,4,6,5,3,1]=>[2,1,2,1,1,1]=>10110111=>4 [1,6,7,3,2,8,4,5]=>[8,3,2,6,7,1,5,4]=>[1,1,3,2,1]=>11100101=>4 [1,5,3,7,2,8,4,6]=>[8,4,6,2,7,1,5,3]=>[1,2,2,2,1]=>11010101=>6 [1,5,7,3,8,2,4,6]=>[8,4,2,6,1,7,5,3]=>[1,1,2,2,1,1]=>11101011=>4 [1,8,5,2,6,4,3,7]=>[8,1,4,7,3,5,6,2]=>[1,3,3,1]=>11001001=>4 [1,5,6,2,8,4,3,7]=>[8,4,3,7,1,5,6,2]=>[1,1,2,3,1]=>11101001=>4 [3,6,1,7,4,8,5,2]=>[6,3,8,2,5,1,4,7]=>[1,2,2,3]=>11010100=>5 [2,5,8,6,3,1,7,4]=>[7,4,1,3,6,8,2,5]=>[1,1,4,2]=>11100010=>3 [2,4,6,3,1,7,5,8]=>[7,5,3,6,8,2,4,1]=>[1,1,3,2,1]=>11100101=>4 [2,3,6,1,8,7,4,5]=>[7,6,3,8,1,2,5,4]=>[1,1,2,3,1]=>11101001=>4 [3,4,8,6,5,7,2,1]=>[6,5,1,3,4,2,7,8]=>[1,1,3,3]=>11100100=>3 [3,4,5,8,1,7,6,2]=>[6,5,4,1,8,2,3,7]=>[1,1,1,2,3]=>11110100=>3 [1,2,4,7,3,6,5,8]=>[8,7,5,2,6,3,4,1]=>[1,1,1,2,2,1]=>11110101=>4 [1,2,5,7,4,6,8,3]=>[8,7,4,2,5,3,1,6]=>[1,1,1,2,1,2]=>11110110=>3 [1,2,4,7,6,8,3,5]=>[8,7,5,2,3,1,6,4]=>[1,1,1,2,2,1]=>11110101=>4 [2,3,6,8,1,7,4,5]=>[7,6,3,1,8,2,5,4]=>[1,1,1,2,2,1]=>11110101=>4 [2,3,7,1,8,6,4,5]=>[7,6,2,8,1,3,5,4]=>[1,1,2,3,1]=>11101001=>4 [1,4,3,6,7,8,2,5]=>[8,5,6,3,2,1,7,4]=>[1,2,1,1,2,1]=>11011101=>4 [2,6,1,7,8,5,3,4]=>[7,3,8,2,1,4,6,5]=>[1,2,1,3,1]=>11011001=>4 [2,4,8,5,6,7,1,3]=>[7,5,1,4,3,2,8,6]=>[1,1,2,1,2,1]=>11101101=>4 [1,4,8,5,6,7,3,2]=>[8,5,1,4,3,2,6,7]=>[1,1,2,1,3]=>11101100=>3 [3,5,8,6,2,7,4,1]=>[6,4,1,3,7,2,5,8]=>[1,1,3,3]=>11100100=>3 [7,8,2,5,1,6,4,3]=>[2,1,7,4,8,3,5,6]=>[1,2,2,3]=>11010100=>5 [2,4,8,6,7,1,5,3]=>[7,5,1,3,2,8,4,6]=>[1,1,2,2,2]=>11101010=>5 [1,2,4,7,3,6,8,5]=>[8,7,5,2,6,3,1,4]=>[1,1,1,2,1,2]=>11110110=>3 [1,2,5,7,4,6,3,8]=>[8,7,4,2,5,3,6,1]=>[1,1,1,2,2,1]=>11110101=>4 [1,3,8,6,7,5,4,2]=>[8,6,1,3,2,4,5,7]=>[1,1,2,4]=>11101000=>3 [4,8,3,1,6,5,7,2]=>[5,1,6,8,3,4,2,7]=>[1,3,2,2]=>11001010=>5 [1,6,8,5,4,2,7,3]=>[8,3,1,4,5,7,2,6]=>[1,1,4,2]=>11100010=>3 [6,5,8,4,2,1,7,3]=>[3,4,1,5,7,8,2,6]=>[2,4,2]=>10100010=>5 [1,7,8,6,5,4,2,3]=>[8,2,1,3,4,5,7,6]=>[1,1,5,1]=>11100001=>2 [6,1,3,5,4,2,8,7]=>[3,8,6,4,5,7,1,2]=>[2,1,3,2]=>10110010=>5 [3,6,4,2,5,1,8,7]=>[6,3,5,7,4,8,1,2]=>[1,3,2,2]=>11001010=>5 [2,8,5,7,6,1,4,3]=>[7,1,4,2,3,8,5,6]=>[1,2,3,2]=>11010010=>5 [4,2,8,5,6,3,7,1]=>[5,7,1,4,3,6,2,8]=>[2,2,2,2]=>10101010=>7 [5,3,7,2,6,8,4,1]=>[4,6,2,7,3,1,5,8]=>[2,2,1,3]=>10101100=>5 [8,7,4,6,1,3,5,2]=>[1,2,5,3,8,6,4,7]=>[3,2,1,2]=>10010110=>5 [5,7,2,3,4,6,8,1]=>[4,2,7,6,5,3,1,8]=>[1,2,1,1,1,2]=>11011110=>3 [1,3,8,2,7,5,6,4]=>[8,6,1,7,2,4,3,5]=>[1,1,2,2,2]=>11101010=>5 [5,7,1,2,3,8,6,4]=>[4,2,8,7,6,1,3,5]=>[1,2,1,1,3]=>11011100=>3 [4,2,7,1,6,8,5,3]=>[5,7,2,8,3,1,4,6]=>[2,2,1,3]=>10101100=>5 [4,2,1,7,6,8,5,3]=>[5,7,8,2,3,1,4,6]=>[3,2,3]=>10010100=>5 [4,1,2,7,5,8,6,3]=>[5,8,7,2,4,1,3,6]=>[2,1,2,3]=>10110100=>5 [6,3,4,7,8,1,5,2]=>[3,6,5,2,1,8,4,7]=>[2,1,1,2,2]=>10111010=>5 [6,7,8,3,4,1,5,2]=>[3,2,1,6,5,8,4,7]=>[1,1,2,2,2]=>11101010=>5 [1,7,8,4,2,5,6,3]=>[8,2,1,5,7,4,3,6]=>[1,1,3,1,2]=>11100110=>3 [3,1,2,8,5,7,6,4]=>[6,8,7,1,4,2,3,5]=>[2,1,2,3]=>10110100=>5 [7,6,8,4,2,1,5,3]=>[2,3,1,5,7,8,4,6]=>[2,4,2]=>10100010=>5 [7,1,8,5,2,3,6,4]=>[2,8,1,4,7,6,3,5]=>[2,3,1,2]=>10100110=>5 [6,8,7,4,3,1,5,2]=>[3,1,2,5,6,8,4,7]=>[1,5,2]=>11000010=>3 [7,8,6,2,4,1,5,3]=>[2,1,3,7,5,8,4,6]=>[1,3,2,2]=>11001010=>5 [3,6,7,4,2,5,8,1]=>[6,3,2,5,7,4,1,8]=>[1,1,3,1,2]=>11100110=>3 [7,2,8,4,6,1,5,3]=>[2,7,1,5,3,8,4,6]=>[2,2,2,2]=>10101010=>7 [2,8,6,3,1,7,5,4]=>[7,1,3,6,8,2,4,5]=>[1,4,3]=>11000100=>3 [3,6,4,7,2,5,8,1]=>[6,3,5,2,7,4,1,8]=>[1,2,2,1,2]=>11010110=>5 [3,4,6,2,7,5,8,1]=>[6,5,3,7,2,4,1,8]=>[1,1,2,2,2]=>11101010=>5 [7,4,2,6,8,1,5,3]=>[2,5,7,3,1,8,4,6]=>[3,1,2,2]=>10011010=>5 [7,4,6,2,8,1,5,3]=>[2,5,3,7,1,8,4,6]=>[2,2,2,2]=>10101010=>7 [7,1,5,8,2,3,6,4]=>[2,8,4,1,7,6,3,5]=>[2,1,2,1,2]=>10110110=>5 [7,6,4,8,2,1,5,3]=>[2,3,5,1,7,8,4,6]=>[3,3,2]=>10010010=>5 [7,5,6,1,2,4,3,8]=>[2,4,3,8,7,5,6,1]=>[2,2,1,2,1]=>10101101=>6 [6,1,8,4,2,3,5,7]=>[3,8,1,5,7,6,4,2]=>[2,3,1,1,1]=>10100111=>4 [7,1,6,3,8,5,4,2]=>[2,8,3,6,1,4,5,7]=>[2,2,4]=>10101000=>5 [7,3,6,2,1,8,5,4]=>[2,6,3,7,8,1,4,5]=>[2,3,3]=>10100100=>5 [7,4,6,2,1,8,5,3]=>[2,5,3,7,8,1,4,6]=>[2,3,3]=>10100100=>5 [7,2,4,3,1,6,8,5]=>[2,7,5,6,8,3,1,4]=>[2,3,1,2]=>10100110=>5 [7,2,3,1,6,4,8,5]=>[2,7,6,8,3,5,1,4]=>[2,2,2,2]=>10101010=>7 [6,1,8,2,5,4,3,7]=>[3,8,1,7,4,5,6,2]=>[2,2,3,1]=>10101001=>6 [1,5,8,7,3,4,6,2]=>[8,4,1,2,6,5,3,7]=>[1,1,3,1,2]=>11100110=>3 [6,5,2,3,8,1,4,7]=>[3,4,7,6,1,8,5,2]=>[3,1,2,1,1]=>10011011=>4 [2,1,8,6,3,4,5,7]=>[7,8,1,3,6,5,4,2]=>[2,3,1,1,1]=>10100111=>4 [1,8,6,4,2,5,7,3]=>[8,1,3,5,7,4,2,6]=>[1,4,1,2]=>11000110=>3 [5,6,2,1,8,4,7,3]=>[4,3,7,8,1,5,2,6]=>[1,3,2,2]=>11001010=>5 [2,4,1,8,7,5,3,6]=>[7,5,8,1,2,4,6,3]=>[1,2,4,1]=>11010001=>4 [2,8,1,6,5,7,3,4]=>[7,1,8,3,4,2,6,5]=>[1,2,2,2,1]=>11010101=>6 [2,4,8,1,7,5,6,3]=>[7,5,1,8,2,4,3,6]=>[1,1,2,2,2]=>11101010=>5 [5,2,1,4,8,3,7,6]=>[4,7,8,5,1,6,2,3]=>[3,1,2,2]=>10011010=>5 [5,1,6,4,3,8,7,2]=>[4,8,3,5,6,1,2,7]=>[2,3,3]=>10100100=>5 [6,5,4,7,3,1,8,2]=>[3,4,5,2,6,8,1,7]=>[3,3,2]=>10010010=>5 [6,2,3,1,4,8,5,7]=>[3,7,6,8,5,1,4,2]=>[2,2,1,2,1]=>10101101=>6 [5,2,1,8,4,7,6,3]=>[4,7,8,1,5,2,3,6]=>[3,2,3]=>10010100=>5 [6,7,5,1,3,4,8,2]=>[3,2,4,8,6,5,1,7]=>[1,3,1,1,2]=>11001110=>3 [6,7,5,3,2,1,8,4]=>[3,2,4,6,7,8,1,5]=>[1,5,2]=>11000010=>3 [3,7,1,6,4,5,8,2]=>[6,2,8,3,5,4,1,7]=>[1,2,2,1,2]=>11010110=>5 [3,5,2,1,4,6,7,8]=>[6,4,7,8,5,3,2,1]=>[1,3,1,1,1,1]=>11001111=>2 [4,8,2,5,3,1,7,6]=>[5,1,7,4,6,8,2,3]=>[1,2,3,2]=>11010010=>5 [2,1,3,7,6,4,5,8]=>[7,8,6,2,3,5,4,1]=>[2,1,3,1,1]=>10110011=>4 [2,8,1,6,7,5,4,3]=>[7,1,8,3,2,4,5,6]=>[1,2,1,4]=>11011000=>3 [1,3,8,7,5,4,6,2]=>[8,6,1,2,4,5,3,7]=>[1,1,4,2]=>11100010=>3 [4,7,2,6,1,5,8,3]=>[5,2,7,3,8,4,1,6]=>[1,2,2,1,2]=>11010110=>5 [4,7,8,6,3,1,5,2]=>[5,2,1,3,6,8,4,7]=>[1,1,4,2]=>11100010=>3 [2,8,7,3,1,6,4,5]=>[7,1,2,6,8,3,5,4]=>[1,4,2,1]=>11000101=>4 [1,2,4,5,9,8,7,6,3]=>[9,8,6,5,1,2,3,4,7]=>[1,1,1,1,5]=>111110000=>1 [1,3,5,7,9,8,6,4,2]=>[9,7,5,3,1,2,4,6,8]=>[1,1,1,1,5]=>111110000=>1 [5,3,8,4,6,7,1,2]=>[4,6,1,5,3,2,8,7]=>[2,2,1,2,1]=>10101101=>6 [3,1,8,4,5,2,6,7]=>[6,8,1,5,4,7,3,2]=>[2,2,2,1,1]=>10101011=>6 [2,3,8,6,4,7,1,5]=>[7,6,1,3,5,2,8,4]=>[1,1,3,2,1]=>11100101=>4 [6,3,7,8,4,5,1,2]=>[3,6,2,1,5,4,8,7]=>[2,1,2,2,1]=>10110101=>6 [6,7,3,4,8,5,1,2]=>[3,2,6,5,1,4,8,7]=>[1,2,1,3,1]=>11011001=>4 [7,4,1,8,2,5,6,3]=>[2,5,8,1,7,4,3,6]=>[3,2,1,2]=>10010110=>5 [3,1,7,2,5,6,8,4]=>[6,8,2,7,4,3,1,5]=>[2,2,1,1,2]=>10101110=>5 [7,8,3,1,6,2,4,5]=>[2,1,6,8,3,7,5,4]=>[1,3,2,1,1]=>11001011=>4 [2,3,7,4,5,1,8,6]=>[7,6,2,5,4,8,1,3]=>[1,1,2,2,2]=>11101010=>5 [2,3,7,1,5,6,8,4]=>[7,6,2,8,4,3,1,5]=>[1,1,2,1,1,2]=>11101110=>3 [7,3,4,8,1,5,6,2]=>[2,6,5,1,8,4,3,7]=>[2,1,2,1,2]=>10110110=>5 [5,7,2,6,8,1,4,3]=>[4,2,7,3,1,8,5,6]=>[1,2,1,2,2]=>11011010=>5 [4,1,5,7,3,2,8,6]=>[5,8,4,2,6,7,1,3]=>[2,1,3,2]=>10110010=>5 [5,8,6,2,7,3,1,4]=>[4,1,3,7,2,6,8,5]=>[1,3,3,1]=>11001001=>4 [6,5,1,7,8,3,4,2]=>[3,4,8,2,1,6,5,7]=>[3,1,2,2]=>10011010=>5 [6,4,1,7,2,8,5,3]=>[3,5,8,2,7,1,4,6]=>[3,2,3]=>10010100=>5 [5,4,1,7,3,8,6,2]=>[4,5,8,2,6,1,3,7]=>[3,2,3]=>10010100=>5 [7,3,1,6,2,8,5,4]=>[2,6,8,3,7,1,4,5]=>[3,2,3]=>10010100=>5 [6,4,1,8,2,7,3,5]=>[3,5,8,1,7,2,6,4]=>[3,2,2,1]=>10010101=>6 [4,8,2,5,3,1,6,7]=>[5,1,7,4,6,8,3,2]=>[1,2,3,1,1]=>11010011=>4 [5,4,1,8,3,6,7,2]=>[4,5,8,1,6,3,2,7]=>[3,2,1,2]=>10010110=>5 [5,1,3,4,8,2,6,7]=>[4,8,6,5,1,7,3,2]=>[2,1,1,2,1,1]=>10111011=>4 [4,6,2,8,1,7,3,5]=>[5,3,7,1,8,2,6,4]=>[1,2,2,2,1]=>11010101=>6 [7,2,3,6,1,8,5,4]=>[2,7,6,3,8,1,4,5]=>[2,1,2,3]=>10110100=>5 [7,8,2,3,5,1,6,4]=>[2,1,7,6,4,8,3,5]=>[1,2,1,2,2]=>11011010=>5 [7,8,4,5,1,2,6,3]=>[2,1,5,4,8,7,3,6]=>[1,2,2,1,2]=>11010110=>5 [6,1,4,5,7,8,2,3]=>[3,8,5,4,2,1,7,6]=>[2,1,1,1,2,1]=>10111101=>4 [6,3,4,7,1,8,5,2]=>[3,6,5,2,8,1,4,7]=>[2,1,2,3]=>10110100=>5 [5,1,3,4,7,2,8,6]=>[4,8,6,5,2,7,1,3]=>[2,1,1,2,2]=>10111010=>5 [7,8,5,1,3,4,6,2]=>[2,1,4,8,6,5,3,7]=>[1,3,1,1,2]=>11001110=>3 [7,1,3,4,5,6,8,2]=>[2,8,6,5,4,3,1,7]=>[2,1,1,1,1,2]=>10111110=>3 [1,2,4,6,8,7,3,5]=>[8,7,5,3,1,2,6,4]=>[1,1,1,1,3,1]=>11111001=>2 [8,5,2,7,6,3,1,4]=>[1,4,7,2,3,6,8,5]=>[3,4,1]=>10010001=>4 [1,8,3,5,6,2,7,4]=>[8,1,6,4,3,7,2,5]=>[1,2,1,2,2]=>11011010=>5 [8,3,2,5,6,1,7,4]=>[1,6,7,4,3,8,2,5]=>[3,1,2,2]=>10011010=>5 [4,2,5,1,6,8,7,3]=>[5,7,4,8,3,1,2,6]=>[2,2,1,3]=>10101100=>5 [8,2,3,5,6,1,7,4]=>[1,7,6,4,3,8,2,5]=>[2,1,1,2,2]=>10111010=>5 [7,1,2,6,8,3,5,4]=>[2,8,7,3,1,6,4,5]=>[2,1,1,2,2]=>10111010=>5 [7,6,2,3,8,1,5,4]=>[2,3,7,6,1,8,4,5]=>[3,1,2,2]=>10011010=>5 [4,7,6,8,1,2,5,3]=>[5,2,3,1,8,7,4,6]=>[1,2,2,1,2]=>11010110=>5 [7,8,6,1,3,4,2,5]=>[2,1,3,8,6,5,7,4]=>[1,3,1,2,1]=>11001101=>4 [7,6,2,1,3,4,8,5]=>[2,3,7,8,6,5,1,4]=>[4,1,1,2]=>10001110=>3 [7,8,6,5,1,3,2,4]=>[2,1,3,4,8,6,7,5]=>[1,4,2,1]=>11000101=>4 [1,7,8,5,2,6,3,4]=>[8,2,1,4,7,3,6,5]=>[1,1,3,2,1]=>11100101=>4 [8,7,1,6,3,2,5,4]=>[1,2,8,3,6,7,4,5]=>[3,3,2]=>10010010=>5 [7,1,8,6,3,2,5,4]=>[2,8,1,3,6,7,4,5]=>[2,4,2]=>10100010=>5 [7,6,1,2,5,3,8,4]=>[2,3,8,7,4,6,1,5]=>[3,1,2,2]=>10011010=>5 [7,6,2,5,8,1,4,3]=>[2,3,7,4,1,8,5,6]=>[3,1,2,2]=>10011010=>5 [5,8,7,2,6,3,4,1]=>[4,1,2,7,3,6,5,8]=>[1,3,2,2]=>11001010=>5 [7,6,2,4,8,1,5,3]=>[2,3,7,5,1,8,4,6]=>[3,1,2,2]=>10011010=>5 [5,7,8,2,6,1,3,4]=>[4,2,1,7,3,8,6,5]=>[1,1,2,2,1,1]=>11101011=>4 [6,7,5,1,8,2,3,4]=>[3,2,4,8,1,7,6,5]=>[1,3,2,1,1]=>11001011=>4 [6,1,7,3,2,4,8,5]=>[3,8,2,6,7,5,1,4]=>[2,3,1,2]=>10100110=>5 [7,6,1,2,4,3,8,5]=>[2,3,8,7,5,6,1,4]=>[3,1,2,2]=>10011010=>5 [6,7,3,1,8,2,5,4]=>[3,2,6,8,1,7,4,5]=>[1,3,2,2]=>11001010=>5 [6,7,2,1,5,3,8,4]=>[3,2,7,8,4,6,1,5]=>[1,3,2,2]=>11001010=>5 [6,7,2,3,1,4,8,5]=>[3,2,7,6,8,5,1,4]=>[1,2,2,1,2]=>11010110=>5 [4,3,2,8,7,1,6,5]=>[5,6,7,1,2,8,3,4]=>[3,3,2]=>10010010=>5 [4,8,3,2,7,1,6,5]=>[5,1,6,7,2,8,3,4]=>[1,3,2,2]=>11001010=>5 [4,8,3,1,7,6,5,2]=>[5,1,6,8,2,3,4,7]=>[1,3,4]=>11001000=>3 [5,3,8,7,1,6,4,2]=>[4,6,1,2,8,3,5,7]=>[2,3,3]=>10100100=>5 [5,8,7,3,1,6,4,2]=>[4,1,2,6,8,3,5,7]=>[1,4,3]=>11000100=>3 [5,3,8,2,1,7,6,4]=>[4,6,1,7,8,2,3,5]=>[2,3,3]=>10100100=>5 [3,8,7,2,6,5,1,4]=>[6,1,2,7,3,4,8,5]=>[1,3,3,1]=>11001001=>4 [7,4,1,8,6,5,3,2]=>[2,5,8,1,3,4,6,7]=>[3,5]=>10010000=>3 [5,4,2,8,1,7,6,3]=>[4,5,7,1,8,2,3,6]=>[3,2,3]=>10010100=>5 [5,8,4,2,1,7,6,3]=>[4,1,5,7,8,2,3,6]=>[1,4,3]=>11000100=>3 [5,8,4,7,1,6,3,2]=>[4,1,5,2,8,3,6,7]=>[1,2,2,3]=>11010100=>5 [5,4,8,3,1,7,6,2]=>[4,5,1,6,8,2,3,7]=>[2,3,3]=>10100100=>5 [6,1,8,5,4,3,7,2]=>[3,8,1,4,5,6,2,7]=>[2,4,2]=>10100010=>5 [5,6,1,8,3,4,7,2]=>[4,3,8,1,6,5,2,7]=>[1,2,2,1,2]=>11010110=>5 [6,8,1,5,2,4,7,3]=>[3,1,8,4,7,5,2,6]=>[1,2,2,1,2]=>11010110=>5 [5,1,6,8,2,4,7,3]=>[4,8,3,1,7,5,2,6]=>[2,1,2,1,2]=>10110110=>5 [6,1,5,8,4,7,2,3]=>[3,8,4,1,5,2,7,6]=>[2,1,2,2,1]=>10110101=>6 [7,2,5,6,1,4,8,3]=>[2,7,4,3,8,5,1,6]=>[2,1,2,1,2]=>10110110=>5 [5,2,6,8,1,4,7,3]=>[4,7,3,1,8,5,2,6]=>[2,1,2,1,2]=>10110110=>5 [6,7,4,2,5,8,1,3]=>[3,2,5,7,4,1,8,6]=>[1,3,1,2,1]=>11001101=>4 [6,7,4,1,2,5,8,3]=>[3,2,5,8,7,4,1,6]=>[1,3,1,1,2]=>11001110=>3 [1,6,8,5,2,4,7,3]=>[8,3,1,4,7,5,2,6]=>[1,1,3,1,2]=>11100110=>3 [1,6,7,4,2,5,8,3]=>[8,3,2,5,7,4,1,6]=>[1,1,3,1,2]=>11100110=>3 [3,6,7,5,8,1,2,4]=>[6,3,2,4,1,8,7,5]=>[1,1,2,2,1,1]=>11101011=>4 [1,6,7,5,8,3,2,4]=>[8,3,2,4,1,6,7,5]=>[1,1,2,3,1]=>11101001=>4 [1,6,8,5,7,4,2,3]=>[8,3,1,4,2,5,7,6]=>[1,1,2,3,1]=>11101001=>4 [3,8,6,5,7,4,1,2]=>[6,1,3,4,2,5,8,7]=>[1,3,3,1]=>11001001=>4 [2,6,7,4,1,5,8,3]=>[7,3,2,5,8,4,1,6]=>[1,1,3,1,2]=>11100110=>3 [6,7,4,1,5,8,2,3]=>[3,2,5,8,4,1,7,6]=>[1,3,1,2,1]=>11001101=>4 [3,8,1,6,5,7,4,2]=>[6,1,8,3,4,2,5,7]=>[1,2,2,3]=>11010100=>5 [3,7,4,1,6,5,8,2]=>[6,2,5,8,3,4,1,7]=>[1,3,2,2]=>11001010=>5 [5,2,8,7,3,6,4,1]=>[4,7,1,2,6,3,5,8]=>[2,3,3]=>10100100=>5 [8,1,6,5,7,4,3,2]=>[1,8,3,4,2,5,6,7]=>[2,2,4]=>10101000=>5 [6,8,2,1,5,7,4,3]=>[3,1,7,8,4,2,5,6]=>[1,3,1,3]=>11001100=>3 [5,2,1,6,8,4,7,3]=>[4,7,8,3,1,5,2,6]=>[3,1,2,2]=>10011010=>5 [6,5,8,7,4,2,3,1]=>[3,4,1,2,5,7,6,8]=>[2,4,2]=>10100010=>5 [3,1,8,6,5,7,4,2]=>[6,8,1,3,4,2,5,7]=>[2,3,3]=>10100100=>5 [6,8,5,7,4,2,1,3]=>[3,1,4,2,5,7,8,6]=>[1,2,4,1]=>11010001=>4 [3,6,7,5,8,2,1,4]=>[6,3,2,4,1,7,8,5]=>[1,1,2,3,1]=>11101001=>4 [1,8,6,5,7,4,3,2]=>[8,1,3,4,2,5,6,7]=>[1,3,4]=>11001000=>3 [4,7,8,5,6,3,1,2]=>[5,2,1,4,3,6,8,7]=>[1,1,2,3,1]=>11101001=>4 [4,7,8,5,3,6,1,2]=>[5,2,1,4,6,3,8,7]=>[1,1,3,2,1]=>11100101=>4 [2,7,8,5,3,4,6,1]=>[7,2,1,4,6,5,3,8]=>[1,1,3,1,2]=>11100110=>3 [2,7,8,5,3,1,4,6]=>[7,2,1,4,6,8,5,3]=>[1,1,4,1,1]=>11100011=>2 [2,7,5,8,3,1,4,6]=>[7,2,4,1,6,8,5,3]=>[1,2,3,1,1]=>11010011=>4 [2,7,5,8,3,4,6,1]=>[7,2,4,1,6,5,3,8]=>[1,2,2,1,2]=>11010110=>5 [2,7,5,6,3,4,8,1]=>[7,2,4,3,6,5,1,8]=>[1,2,2,1,2]=>11010110=>5 [6,7,5,3,1,4,2,8]=>[3,2,4,6,8,5,7,1]=>[1,4,2,1]=>11000101=>4 [4,7,5,3,1,6,2,8]=>[5,2,4,6,8,3,7,1]=>[1,4,2,1]=>11000101=>4 [2,7,5,3,6,1,4,8]=>[7,2,4,6,3,8,5,1]=>[1,3,2,1,1]=>11001011=>4 [2,7,5,3,6,4,8,1]=>[7,2,4,6,3,5,1,8]=>[1,3,2,2]=>11001010=>5 [4,7,5,3,1,8,2,6]=>[5,2,4,6,8,1,7,3]=>[1,4,2,1]=>11000101=>4 [6,7,5,3,1,8,2,4]=>[3,2,4,6,8,1,7,5]=>[1,4,2,1]=>11000101=>4 [2,7,5,3,8,1,6,4]=>[7,2,4,6,1,8,3,5]=>[1,3,2,2]=>11001010=>5 [2,7,5,3,8,6,1,4]=>[7,2,4,6,1,3,8,5]=>[1,3,3,1]=>11001001=>4 [2,7,5,8,3,1,6,4]=>[7,2,4,1,6,8,3,5]=>[1,2,3,2]=>11010010=>5 [4,7,5,3,8,1,6,2]=>[5,2,4,6,1,8,3,7]=>[1,3,2,2]=>11001010=>5 [8,7,5,3,6,1,4,2]=>[1,2,4,6,3,8,5,7]=>[4,2,2]=>10001010=>5 [4,7,5,3,8,6,1,2]=>[5,2,4,6,1,3,8,7]=>[1,3,3,1]=>11001001=>4 [2,7,5,8,6,3,1,4]=>[7,2,4,1,3,6,8,5]=>[1,2,4,1]=>11010001=>4 [2,7,5,8,6,3,4,1]=>[7,2,4,1,3,6,5,8]=>[1,2,3,2]=>11010010=>5 [2,7,5,6,8,3,4,1]=>[7,2,4,3,1,6,5,8]=>[1,2,1,2,2]=>11011010=>5 [2,7,5,6,8,3,1,4]=>[7,2,4,3,1,6,8,5]=>[1,2,1,3,1]=>11011001=>4 [6,7,5,3,4,1,8,2]=>[3,2,4,6,5,8,1,7]=>[1,3,2,2]=>11001010=>5 [2,7,5,6,3,1,8,4]=>[7,2,4,3,6,8,1,5]=>[1,2,3,2]=>11010010=>5 [2,7,5,6,3,8,4,1]=>[7,2,4,3,6,1,5,8]=>[1,2,2,3]=>11010100=>5 [2,7,5,3,6,8,1,4]=>[7,2,4,6,3,1,8,5]=>[1,3,1,2,1]=>11001101=>4 [2,7,5,3,6,1,8,4]=>[7,2,4,6,3,8,1,5]=>[1,3,2,2]=>11001010=>5 [2,7,5,3,1,6,8,4]=>[7,2,4,6,8,3,1,5]=>[1,4,1,2]=>11000110=>3 [4,7,5,3,1,6,8,2]=>[5,2,4,6,8,3,1,7]=>[1,4,1,2]=>11000110=>3 [8,7,5,3,1,4,6,2]=>[1,2,4,6,8,5,3,7]=>[5,1,2]=>10000110=>3 [2,7,5,3,4,1,8,6]=>[7,2,4,6,5,8,1,3]=>[1,3,2,2]=>11001010=>5 [2,7,5,3,4,8,1,6]=>[7,2,4,6,5,1,8,3]=>[1,3,1,2,1]=>11001101=>4 [2,7,5,3,4,6,8,1]=>[7,2,4,6,5,3,1,8]=>[1,3,1,1,2]=>11001110=>3 [2,7,5,3,4,6,1,8]=>[7,2,4,6,5,3,8,1]=>[1,3,1,2,1]=>11001101=>4 [2,7,5,3,4,1,6,8]=>[7,2,4,6,5,8,3,1]=>[1,3,2,1,1]=>11001011=>4 [4,7,5,3,1,2,6,8]=>[5,2,4,6,8,7,3,1]=>[1,4,1,1,1]=>11000111=>2 [5,7,6,1,8,3,2,4]=>[4,2,3,8,1,6,7,5]=>[1,3,3,1]=>11001001=>4 [3,8,7,1,2,5,4,6]=>[6,1,2,8,7,4,5,3]=>[1,3,1,2,1]=>11001101=>4 [3,8,7,2,1,5,4,6]=>[6,1,2,7,8,4,5,3]=>[1,4,2,1]=>11000101=>4 [4,6,5,7,8,3,1,2]=>[5,3,4,2,1,6,8,7]=>[1,2,1,3,1]=>11011001=>4 [5,8,6,1,7,4,2,3]=>[4,1,3,8,2,5,7,6]=>[1,3,3,1]=>11001001=>4 [6,1,7,2,8,4,3,5]=>[3,8,2,7,1,5,6,4]=>[2,2,3,1]=>10101001=>6 [4,8,5,6,7,3,1,2]=>[5,1,4,3,2,6,8,7]=>[1,2,1,3,1]=>11011001=>4 [3,7,6,1,8,4,2,5]=>[6,2,3,8,1,5,7,4]=>[1,3,3,1]=>11001001=>4 [6,1,7,3,8,5,2,4]=>[3,8,2,6,1,4,7,5]=>[2,2,3,1]=>10101001=>6 [7,1,8,3,2,5,4,6]=>[2,8,1,6,7,4,5,3]=>[2,3,2,1]=>10100101=>6 [5,1,7,3,2,4,8,6]=>[4,8,2,6,7,5,1,3]=>[2,3,1,2]=>10100110=>5 [2,7,8,3,1,5,4,6]=>[7,2,1,6,8,4,5,3]=>[1,1,3,2,1]=>11100101=>4 [2,5,6,8,7,3,1,4]=>[7,4,3,1,2,6,8,5]=>[1,1,1,4,1]=>11110001=>2 [4,8,5,6,7,2,1,3]=>[5,1,4,3,2,7,8,6]=>[1,2,1,3,1]=>11011001=>4 [5,8,7,2,3,4,1,6]=>[4,1,2,7,6,5,8,3]=>[1,3,1,2,1]=>11001101=>4 [5,8,6,2,7,4,1,3]=>[4,1,3,7,2,5,8,6]=>[1,3,3,1]=>11001001=>4 [2,4,6,7,8,5,1,3]=>[7,5,3,2,1,4,8,6]=>[1,1,1,1,3,1]=>11111001=>2 [2,4,6,7,8,3,1,5]=>[7,5,3,2,1,6,8,4]=>[1,1,1,1,3,1]=>11111001=>2 [4,7,6,2,8,3,1,5]=>[5,2,3,7,1,6,8,4]=>[1,3,3,1]=>11001001=>4 [5,8,6,3,7,4,1,2]=>[4,1,3,6,2,5,8,7]=>[1,3,3,1]=>11001001=>4 [5,8,7,3,2,4,1,6]=>[4,1,2,6,7,5,8,3]=>[1,4,2,1]=>11000101=>4 [4,6,5,8,7,3,1,2]=>[5,3,4,1,2,6,8,7]=>[1,2,4,1]=>11010001=>4 [8,3,1,7,2,6,4,5]=>[1,6,8,2,7,3,5,4]=>[3,2,2,1]=>10010101=>6 [4,5,1,2,8,7,3,6]=>[5,4,8,7,1,2,6,3]=>[1,2,1,3,1]=>11011001=>4 [5,6,1,2,8,3,7,4]=>[4,3,8,7,1,6,2,5]=>[1,2,1,2,2]=>11011010=>5 [5,8,7,1,6,2,4,3]=>[4,1,2,8,3,7,5,6]=>[1,3,2,2]=>11001010=>5 [4,8,5,1,7,6,2,3]=>[5,1,4,8,2,3,7,6]=>[1,3,3,1]=>11001001=>4 [8,4,5,1,7,6,2,3]=>[1,5,4,8,2,3,7,6]=>[2,2,3,1]=>10101001=>6 [7,3,1,4,8,2,6,5]=>[2,6,8,5,1,7,3,4]=>[3,1,2,2]=>10011010=>5 [6,3,1,4,8,2,7,5]=>[3,6,8,5,1,7,2,4]=>[3,1,2,2]=>10011010=>5 [5,4,7,1,8,2,6,3]=>[4,5,2,8,1,7,3,6]=>[2,2,2,2]=>10101010=>7 [7,5,6,1,3,8,4,2]=>[2,4,3,8,6,1,5,7]=>[2,2,1,3]=>10101100=>5 [6,8,5,1,3,7,4,2]=>[3,1,4,8,6,2,5,7]=>[1,3,1,3]=>11001100=>3 [5,7,6,1,3,8,4,2]=>[4,2,3,8,6,1,5,7]=>[1,3,1,3]=>11001100=>3 [6,7,5,1,3,8,4,2]=>[3,2,4,8,6,1,5,7]=>[1,3,1,3]=>11001100=>3 [6,7,1,4,2,8,5,3]=>[3,2,8,5,7,1,4,6]=>[1,2,2,3]=>11010100=>5 [5,7,1,4,2,8,6,3]=>[4,2,8,5,7,1,3,6]=>[1,2,2,3]=>11010100=>5 [3,4,1,8,6,5,7,2]=>[6,5,8,1,3,4,2,7]=>[1,2,3,2]=>11010010=>5 [5,7,1,2,4,8,6,3]=>[4,2,8,7,5,1,3,6]=>[1,2,1,1,3]=>11011100=>3 [6,7,4,1,3,8,5,2]=>[3,2,5,8,6,1,4,7]=>[1,3,1,3]=>11001100=>3 [7,6,4,1,3,8,5,2]=>[2,3,5,8,6,1,4,7]=>[4,1,3]=>10001100=>3 [7,4,5,1,3,8,6,2]=>[2,5,4,8,6,1,3,7]=>[2,2,1,3]=>10101100=>5 [1,3,6,4,2,5,7,8]=>[8,6,3,5,7,4,2,1]=>[1,1,3,1,1,1]=>11100111=>2 [1,4,5,7,8,3,6,2]=>[8,5,4,2,1,6,3,7]=>[1,1,1,1,2,2]=>11111010=>3 [1,5,7,8,3,6,2,4]=>[8,4,2,1,6,3,7,5]=>[1,1,1,2,2,1]=>11110101=>4 [1,5,7,8,2,4,3,6]=>[8,4,2,1,7,5,6,3]=>[1,1,1,2,2,1]=>11110101=>4 [6,8,1,7,2,4,5,3]=>[3,1,8,2,7,5,4,6]=>[1,2,2,1,2]=>11010110=>5 [6,8,4,7,3,2,1,5]=>[3,1,5,2,6,7,8,4]=>[1,2,4,1]=>11010001=>4 [3,8,4,2,7,5,1,6]=>[6,1,5,7,2,4,8,3]=>[1,3,3,1]=>11001001=>4 [6,8,3,2,1,5,4,7]=>[3,1,6,7,8,4,5,2]=>[1,4,2,1]=>11000101=>4 [6,5,8,2,1,3,4,7]=>[3,4,1,7,8,6,5,2]=>[2,3,1,1,1]=>10100111=>4 [2,8,5,3,6,1,4,7]=>[7,1,4,6,3,8,5,2]=>[1,3,2,1,1]=>11001011=>4 [2,8,1,4,6,7,5,3]=>[7,1,8,5,3,2,4,6]=>[1,2,1,1,3]=>11011100=>3 [2,8,4,1,7,6,5,3]=>[7,1,5,8,2,3,4,6]=>[1,3,4]=>11001000=>3 [6,8,5,4,2,7,1,3]=>[3,1,4,5,7,2,8,6]=>[1,4,2,1]=>11000101=>4 [1,8,4,6,3,2,7,5]=>[8,1,5,3,6,7,2,4]=>[1,2,3,2]=>11010010=>5 [6,4,8,5,3,2,1,7]=>[3,5,1,4,6,7,8,2]=>[2,5,1]=>10100001=>4 [5,4,1,7,3,2,6,8]=>[4,5,8,2,6,7,3,1]=>[3,3,1,1]=>10010011=>4 [3,5,6,1,4,2,7,8]=>[6,4,3,8,5,7,2,1]=>[1,1,2,2,1,1]=>11101011=>4 [1,6,3,8,4,2,7,5]=>[8,3,6,1,5,7,2,4]=>[1,2,3,2]=>11010010=>5 [6,5,8,1,2,3,7,4]=>[3,4,1,8,7,6,2,5]=>[2,2,1,1,2]=>10101110=>5 [5,3,1,4,7,6,8,2]=>[4,6,8,5,2,3,1,7]=>[3,1,2,2]=>10011010=>5 [7,1,3,2,4,6,8,5]=>[2,8,6,7,5,3,1,4]=>[2,2,1,1,2]=>10101110=>5 [6,4,3,2,7,5,8,1]=>[3,5,6,7,2,4,1,8]=>[4,2,2]=>10001010=>5 [7,4,5,6,1,3,8,2]=>[2,5,4,3,8,6,1,7]=>[2,1,2,1,2]=>10110110=>5 [1,6,7,8,3,5,2,4]=>[8,3,2,1,6,4,7,5]=>[1,1,1,2,2,1]=>11110101=>4 [2,1,4,8,7,3,5,6]=>[7,8,5,1,2,6,4,3]=>[2,1,3,1,1]=>10110011=>4 [3,7,6,8,2,5,4,1]=>[6,2,3,1,7,4,5,8]=>[1,2,2,3]=>11010100=>5 [5,4,6,8,7,1,3,2]=>[4,5,3,1,2,8,6,7]=>[2,1,3,2]=>10110010=>5 [4,1,8,2,6,7,5,3]=>[5,8,1,7,3,2,4,6]=>[2,2,1,3]=>10101100=>5 [3,6,7,8,2,1,4,5]=>[6,3,2,1,7,8,5,4]=>[1,1,1,3,1,1]=>11110011=>2 [2,5,7,1,6,3,4,8]=>[7,4,2,8,3,6,5,1]=>[1,1,2,2,1,1]=>11101011=>4 [4,2,8,3,6,5,1,7]=>[5,7,1,6,3,4,8,2]=>[2,2,3,1]=>10101001=>6 [5,2,1,4,7,8,6,3]=>[4,7,8,5,2,1,3,6]=>[3,1,1,3]=>10011100=>3 [5,2,4,7,8,6,1,3]=>[4,7,5,2,1,3,8,6]=>[2,1,1,3,1]=>10111001=>4 [7,2,1,3,4,8,5,6]=>[2,7,8,6,5,1,4,3]=>[3,1,1,2,1]=>10011101=>4 [2,4,5,7,1,8,6,3]=>[7,5,4,2,8,1,3,6]=>[1,1,1,2,3]=>11110100=>3 [6,2,4,7,3,8,5,1]=>[3,7,5,2,6,1,4,8]=>[2,1,2,3]=>10110100=>5 [7,6,3,1,2,5,8,4]=>[2,3,6,8,7,4,1,5]=>[4,1,1,2]=>10001110=>3 [1,5,7,4,3,2,8,6]=>[8,4,2,5,6,7,1,3]=>[1,1,4,2]=>11100010=>3 [8,1,6,2,3,4,7,5]=>[1,8,3,7,6,5,2,4]=>[2,2,1,1,2]=>10101110=>5 [6,1,4,2,5,7,8,3]=>[3,8,5,7,4,2,1,6]=>[2,2,1,1,2]=>10101110=>5 [3,4,8,6,7,2,5,1]=>[6,5,1,3,2,7,4,8]=>[1,1,2,2,2]=>11101010=>5 [1,6,7,2,4,3,5,8]=>[8,3,2,7,5,6,4,1]=>[1,1,2,2,1,1]=>11101011=>4 [1,8,7,3,2,6,5,4]=>[8,1,2,6,7,3,4,5]=>[1,4,3]=>11000100=>3 [1,8,3,4,5,2,7,6]=>[8,1,6,5,4,7,2,3]=>[1,2,1,2,2]=>11011010=>5 [1,8,3,6,4,7,2,5]=>[8,1,6,3,5,2,7,4]=>[1,2,2,2,1]=>11010101=>6 [1,4,7,2,5,6,3,8]=>[8,5,2,7,4,3,6,1]=>[1,1,2,1,2,1]=>11101101=>4 [5,4,1,7,3,6,2,8]=>[4,5,8,2,6,3,7,1]=>[3,2,2,1]=>10010101=>6 [3,5,8,6,4,7,1,2]=>[6,4,1,3,5,2,8,7]=>[1,1,3,2,1]=>11100101=>4 [3,4,8,6,7,2,1,5]=>[6,5,1,3,2,7,8,4]=>[1,1,2,3,1]=>11101001=>4 [1,4,6,2,5,8,7,3]=>[8,5,3,7,4,1,2,6]=>[1,1,2,1,3]=>11101100=>3 [6,3,4,1,8,2,7,5]=>[3,6,5,8,1,7,2,4]=>[2,2,2,2]=>10101010=>7 [4,1,6,8,2,5,7,3]=>[5,8,3,1,7,4,2,6]=>[2,1,2,1,2]=>10110110=>5 [1,6,2,5,8,3,7,4]=>[8,3,7,4,1,6,2,5]=>[1,2,1,2,2]=>11011010=>5 [1,7,2,5,8,4,3,6]=>[8,2,7,4,1,5,6,3]=>[1,2,1,3,1]=>11011001=>4 [1,4,6,7,8,3,5,2]=>[8,5,3,2,1,6,4,7]=>[1,1,1,1,2,2]=>11111010=>3 [3,7,5,1,6,8,4,2]=>[6,2,4,8,3,1,5,7]=>[1,3,1,3]=>11001100=>3 [5,8,7,4,6,2,3,1]=>[4,1,2,5,3,7,6,8]=>[1,3,2,2]=>11001010=>5 [6,8,7,1,5,3,4,2]=>[3,1,2,8,4,6,5,7]=>[1,3,2,2]=>11001010=>5 [2,7,8,4,6,5,1,3]=>[7,2,1,5,3,4,8,6]=>[1,1,2,3,1]=>11101001=>4 [3,7,8,5,4,6,2,1]=>[6,2,1,4,5,3,7,8]=>[1,1,3,3]=>11100100=>3 [4,8,7,5,2,6,3,1]=>[5,1,2,4,7,3,6,8]=>[1,4,3]=>11000100=>3 [2,8,7,4,6,1,5,3]=>[7,1,2,5,3,8,4,6]=>[1,3,2,2]=>11001010=>5 [4,8,7,2,5,6,3,1]=>[5,1,2,7,4,3,6,8]=>[1,3,1,3]=>11001100=>3 [1,6,8,3,5,2,7,4]=>[8,3,1,6,4,7,2,5]=>[1,1,2,2,2]=>11101010=>5 [4,5,8,6,3,7,2,1]=>[5,4,1,3,6,2,7,8]=>[1,1,3,3]=>11100100=>3 [2,6,7,8,4,5,1,3]=>[7,3,2,1,5,4,8,6]=>[1,1,1,2,2,1]=>11110101=>4 [5,7,1,8,2,6,4,3]=>[4,2,8,1,7,3,5,6]=>[1,2,2,3]=>11010100=>5 [7,2,1,8,6,4,5,3]=>[2,7,8,1,3,5,4,6]=>[3,3,2]=>10010010=>5 [5,3,8,4,7,6,2,1]=>[4,6,1,5,2,3,7,8]=>[2,2,4]=>10101000=>5 [2,5,8,1,7,4,6,3]=>[7,4,1,8,2,5,3,6]=>[1,1,2,2,2]=>11101010=>5 [4,5,8,3,7,6,2,1]=>[5,4,1,6,2,3,7,8]=>[1,1,2,4]=>11101000=>3 [3,5,7,8,1,6,2,4]=>[6,4,2,1,8,3,7,5]=>[1,1,1,2,2,1]=>11110101=>4 [2,4,7,8,5,6,1,3]=>[7,5,2,1,4,3,8,6]=>[1,1,1,2,2,1]=>11110101=>4 [4,1,7,8,5,6,3,2]=>[5,8,2,1,4,3,6,7]=>[2,1,2,3]=>10110100=>5 [3,5,8,6,4,7,2,1]=>[6,4,1,3,5,2,7,8]=>[1,1,3,3]=>11100100=>3 [2,4,8,5,7,6,1,3]=>[7,5,1,4,2,3,8,6]=>[1,1,2,3,1]=>11101001=>4 [2,6,3,8,5,1,7,4]=>[7,3,6,1,4,8,2,5]=>[1,2,3,2]=>11010010=>5 [4,1,5,8,6,7,3,2]=>[5,8,4,1,3,2,6,7]=>[2,1,2,3]=>10110100=>5 [1,4,3,7,2,8,5,6]=>[8,5,6,2,7,1,4,3]=>[1,2,2,2,1]=>11010101=>6 [4,5,8,2,6,3,1,7]=>[5,4,1,7,3,6,8,2]=>[1,1,2,3,1]=>11101001=>4 [6,3,5,2,4,7,1,8]=>[3,6,4,7,5,2,8,1]=>[2,2,1,2,1]=>10101101=>6 [5,2,6,3,4,8,1,7]=>[4,7,3,6,5,1,8,2]=>[2,2,1,2,1]=>10101101=>6 [5,2,3,8,4,6,1,7]=>[4,7,6,1,5,3,8,2]=>[2,1,2,2,1]=>10110101=>6 [4,2,3,5,8,6,1,7]=>[5,7,6,4,1,3,8,2]=>[2,1,1,3,1]=>10111001=>4 [3,8,2,4,6,1,5,7]=>[6,1,7,5,3,8,4,2]=>[1,2,1,2,1,1]=>11011011=>4 [2,3,8,4,6,1,5,7]=>[7,6,1,5,3,8,4,2]=>[1,1,2,2,1,1]=>11101011=>4 [4,3,7,5,2,1,8,6]=>[5,6,2,4,7,8,1,3]=>[2,4,2]=>10100010=>5 [5,3,4,7,6,1,2,8]=>[4,6,5,2,3,8,7,1]=>[2,1,3,1,1]=>10110011=>4 [6,5,1,3,2,8,4,7]=>[3,4,8,6,7,1,5,2]=>[3,2,2,1]=>10010101=>6 [5,1,4,3,2,7,6,8]=>[4,8,5,6,7,2,3,1]=>[2,3,2,1]=>10100101=>6 [4,1,3,5,8,7,2,6]=>[5,8,6,4,1,2,7,3]=>[2,1,1,3,1]=>10111001=>4 [3,1,2,7,4,8,6,5]=>[6,8,7,2,5,1,3,4]=>[2,1,2,3]=>10110100=>5 [6,2,1,4,8,3,7,5]=>[3,7,8,5,1,6,2,4]=>[3,1,2,2]=>10011010=>5 [3,4,7,2,1,8,5,6]=>[6,5,2,7,8,1,4,3]=>[1,1,3,2,1]=>11100101=>4 [3,8,2,1,4,7,6,5]=>[6,1,7,8,5,2,3,4]=>[1,3,1,3]=>11001100=>3 [3,2,4,7,1,8,5,6]=>[6,7,5,2,8,1,4,3]=>[2,1,2,2,1]=>10110101=>6 [2,8,5,4,1,3,7,6]=>[7,1,4,5,8,6,2,3]=>[1,4,1,2]=>11000110=>3 [4,2,3,5,7,1,8,6]=>[5,7,6,4,2,8,1,3]=>[2,1,1,2,2]=>10111010=>5 [4,2,8,7,1,3,5,6]=>[5,7,1,2,8,6,4,3]=>[2,3,1,1,1]=>10100111=>4 [4,8,6,5,3,1,2,7]=>[5,1,3,4,6,8,7,2]=>[1,5,1,1]=>11000011=>2 [6,5,4,8,3,1,2,7]=>[3,4,5,1,6,8,7,2]=>[3,3,1,1]=>10010011=>4 [5,4,6,3,1,7,2,8]=>[4,5,3,6,8,2,7,1]=>[2,3,2,1]=>10100101=>6 [4,3,6,5,1,8,2,7]=>[5,6,3,4,8,1,7,2]=>[2,3,2,1]=>10100101=>6 [1,5,6,8,7,3,2,4]=>[8,4,3,1,2,6,7,5]=>[1,1,1,4,1]=>11110001=>2 [1,4,8,3,6,5,2,7]=>[8,5,1,6,3,4,7,2]=>[1,1,2,3,1]=>11101001=>4 [4,8,1,3,6,5,2,7]=>[5,1,8,6,3,4,7,2]=>[1,2,1,3,1]=>11011001=>4 [3,5,4,1,6,7,2,8]=>[6,4,5,8,3,2,7,1]=>[1,3,1,2,1]=>11001101=>4 [3,4,1,8,6,5,2,7]=>[6,5,8,1,3,4,7,2]=>[1,2,4,1]=>11010001=>4 [1,3,8,6,4,7,2,5]=>[8,6,1,3,5,2,7,4]=>[1,1,3,2,1]=>11100101=>4 [1,2,8,6,4,3,7,5]=>[8,7,1,3,5,6,2,4]=>[1,1,4,2]=>11100010=>3 [3,2,1,6,4,8,7,5]=>[6,7,8,3,5,1,2,4]=>[3,2,3]=>10010100=>5 [6,5,1,8,7,3,2,4]=>[3,4,8,1,2,6,7,5]=>[3,4,1]=>10010001=>4 [4,1,7,6,8,3,2,5]=>[5,8,2,3,1,6,7,4]=>[2,2,3,1]=>10101001=>6 [2,1,7,6,4,3,8,5]=>[7,8,2,3,5,6,1,4]=>[2,4,2]=>10100010=>5 [6,3,5,1,2,8,7,4]=>[3,6,4,8,7,1,2,5]=>[2,2,1,3]=>10101100=>5 [1,8,4,7,6,2,3,5]=>[8,1,5,2,3,7,6,4]=>[1,2,3,1,1]=>11010011=>4 [5,8,4,7,6,1,3,2]=>[4,1,5,2,3,8,6,7]=>[1,2,3,2]=>11010010=>5 [8,3,2,6,1,7,4,5]=>[1,6,7,3,8,2,5,4]=>[3,2,2,1]=>10010101=>6 [8,2,4,7,6,1,3,5]=>[1,7,5,2,3,8,6,4]=>[2,1,3,1,1]=>10110011=>4 [2,6,3,7,4,8,5,1]=>[7,3,6,2,5,1,4,8]=>[1,2,2,3]=>11010100=>5 [4,6,1,7,8,2,5,3]=>[5,3,8,2,1,7,4,6]=>[1,2,1,2,2]=>11011010=>5 [7,2,3,8,4,5,6,1]=>[2,7,6,1,5,4,3,8]=>[2,1,2,1,2]=>10110110=>5 [5,2,6,7,8,3,4,1]=>[4,7,3,2,1,6,5,8]=>[2,1,1,2,2]=>10111010=>5 [6,5,8,1,2,7,4,3]=>[3,4,1,8,7,2,5,6]=>[2,2,1,3]=>10101100=>5 [4,5,1,7,6,2,8,3]=>[5,4,8,2,3,7,1,6]=>[1,2,3,2]=>11010010=>5 [1,5,2,7,6,3,4,8]=>[8,4,7,2,3,6,5,1]=>[1,2,3,1,1]=>11010011=>4 [7,2,6,8,3,5,4,1]=>[2,7,3,1,6,4,5,8]=>[2,1,2,3]=>10110100=>5 [4,1,8,7,6,5,2,3]=>[5,8,1,2,3,4,7,6]=>[2,5,1]=>10100001=>4 [7,6,5,2,8,4,3,1]=>[2,3,4,7,1,5,6,8]=>[4,4]=>10001000=>3 [8,6,5,2,7,4,1,3]=>[1,3,4,7,2,5,8,6]=>[4,3,1]=>10001001=>4 [7,8,5,2,6,4,1,3]=>[2,1,4,7,3,5,8,6]=>[1,3,3,1]=>11001001=>4 [8,7,5,2,6,1,4,3]=>[1,2,4,7,3,8,5,6]=>[4,2,2]=>10001010=>5 [6,5,1,8,7,4,3,2]=>[3,4,8,1,2,5,6,7]=>[3,5]=>10010000=>3 [7,5,1,8,6,4,3,2]=>[2,4,8,1,3,5,6,7]=>[3,5]=>10010000=>3 [8,5,1,7,6,4,3,2]=>[1,4,8,2,3,5,6,7]=>[3,5]=>10010000=>3 [8,5,3,7,6,1,4,2]=>[1,4,6,2,3,8,5,7]=>[3,3,2]=>10010010=>5 [7,6,8,2,5,4,1,3]=>[2,3,1,7,4,5,8,6]=>[2,2,3,1]=>10101001=>6 [7,2,8,6,1,5,4,3]=>[2,7,1,3,8,4,5,6]=>[2,3,3]=>10100100=>5 [7,8,6,2,5,1,4,3]=>[2,1,3,7,4,8,5,6]=>[1,3,2,2]=>11001010=>5 [3,8,7,6,1,5,4,2]=>[6,1,2,3,8,4,5,7]=>[1,4,3]=>11000100=>3 [1,6,7,8,4,5,2,3]=>[8,3,2,1,5,4,7,6]=>[1,1,1,2,2,1]=>11110101=>4 [3,6,2,8,4,1,5,7]=>[6,3,7,1,5,8,4,2]=>[1,2,3,1,1]=>11010011=>4 [8,3,7,5,4,1,6,2]=>[1,6,2,4,5,8,3,7]=>[2,4,2]=>10100010=>5 [8,6,4,5,3,1,7,2]=>[1,3,5,4,6,8,2,7]=>[3,3,2]=>10010010=>5 [3,8,6,5,4,1,7,2]=>[6,1,3,4,5,8,2,7]=>[1,5,2]=>11000010=>3 [1,6,5,8,4,7,2,3]=>[8,3,4,1,5,2,7,6]=>[1,2,2,2,1]=>11010101=>6 [2,4,5,7,3,1,6,8]=>[7,5,4,2,6,8,3,1]=>[1,1,1,3,1,1]=>11110011=>2 [8,2,6,7,4,5,1,3]=>[1,7,3,2,5,4,8,6]=>[2,1,2,2,1]=>10110101=>6 [1,2,7,8,4,6,5,3]=>[8,7,2,1,5,3,4,6]=>[1,1,1,2,3]=>11110100=>3 [6,3,8,4,1,2,5,7]=>[3,6,1,5,8,7,4,2]=>[2,3,1,1,1]=>10100111=>4 [1,6,3,5,4,8,2,7]=>[8,3,6,4,5,1,7,2]=>[1,2,2,2,1]=>11010101=>6 [4,5,3,1,8,7,2,6]=>[5,4,6,8,1,2,7,3]=>[1,3,3,1]=>11001001=>4 [3,1,5,8,6,4,2,7]=>[6,8,4,1,3,5,7,2]=>[2,1,4,1]=>10110001=>4 [3,4,8,1,5,2,6,7]=>[6,5,1,8,4,7,3,2]=>[1,1,2,2,1,1]=>11101011=>4 [4,6,8,1,5,2,3,7]=>[5,3,1,8,4,7,6,2]=>[1,1,2,2,1,1]=>11101011=>4 [5,2,6,7,1,8,3,4]=>[4,7,3,2,8,1,6,5]=>[2,1,2,2,1]=>10110101=>6 [3,6,8,5,2,7,1,4]=>[6,3,1,4,7,2,8,5]=>[1,1,3,2,1]=>11100101=>4 [6,1,8,2,7,4,3,5]=>[3,8,1,7,2,5,6,4]=>[2,2,3,1]=>10101001=>6 [2,5,6,3,1,7,4,8]=>[7,4,3,6,8,2,5,1]=>[1,1,3,2,1]=>11100101=>4 [7,5,2,6,1,4,3,8]=>[2,4,7,3,8,5,6,1]=>[3,2,2,1]=>10010101=>6 [5,7,6,2,8,1,3,4]=>[4,2,3,7,1,8,6,5]=>[1,3,2,1,1]=>11001011=>4 [5,2,4,6,8,7,1,3]=>[4,7,5,3,1,2,8,6]=>[2,1,1,3,1]=>10111001=>4 [8,1,6,5,7,2,3,4]=>[1,8,3,4,2,7,6,5]=>[2,2,2,1,1]=>10101011=>6 [1,4,6,2,5,7,3,8]=>[8,5,3,7,4,2,6,1]=>[1,1,2,1,2,1]=>11101101=>4 [8,6,5,7,1,3,2,4]=>[1,3,4,2,8,6,7,5]=>[3,2,2,1]=>10010101=>6 [7,1,6,5,2,8,4,3]=>[2,8,3,4,7,1,5,6]=>[2,3,3]=>10100100=>5 [1,5,8,6,2,7,4,3]=>[8,4,1,3,7,2,5,6]=>[1,1,3,3]=>11100100=>3 [6,4,7,1,3,8,2,5]=>[3,5,2,8,6,1,7,4]=>[2,2,1,2,1]=>10101101=>6 [8,2,3,6,7,4,1,5]=>[1,7,6,3,2,5,8,4]=>[2,1,1,3,1]=>10111001=>4 [8,7,5,2,4,3,1,6]=>[1,2,4,7,5,6,8,3]=>[4,3,1]=>10001001=>4 [3,1,8,5,7,2,6,4]=>[6,8,1,4,2,7,3,5]=>[2,2,2,2]=>10101010=>7 [6,5,2,1,7,4,3,8]=>[3,4,7,8,2,5,6,1]=>[4,3,1]=>10001001=>4 [6,7,4,2,3,8,1,5]=>[3,2,5,7,6,1,8,4]=>[1,3,1,2,1]=>11001101=>4 [5,6,4,3,8,1,2,7]=>[4,3,5,6,1,8,7,2]=>[1,3,2,1,1]=>11001011=>4 [6,8,5,3,4,2,1,7]=>[3,1,4,6,5,7,8,2]=>[1,3,3,1]=>11001001=>4 [8,5,2,6,4,3,1,7]=>[1,4,7,3,5,6,8,2]=>[3,4,1]=>10010001=>4 [8,6,4,5,2,1,7,3]=>[1,3,5,4,7,8,2,6]=>[3,3,2]=>10010010=>5 [8,5,2,6,1,4,7,3]=>[1,4,7,3,8,5,2,6]=>[3,2,1,2]=>10010110=>5 [8,5,6,4,2,7,1,3]=>[1,4,3,5,7,2,8,6]=>[2,3,2,1]=>10100101=>6 [5,7,2,4,8,1,6,3]=>[4,2,7,5,1,8,3,6]=>[1,2,1,2,2]=>11011010=>5 [2,7,5,8,1,4,6,3]=>[7,2,4,1,8,5,3,6]=>[1,2,2,1,2]=>11010110=>5 [2,7,3,5,8,1,6,4]=>[7,2,6,4,1,8,3,5]=>[1,2,1,2,2]=>11011010=>5 [5,2,7,3,8,1,6,4]=>[4,7,2,6,1,8,3,5]=>[2,2,2,2]=>10101010=>7 [8,5,6,4,1,3,7,2]=>[1,4,3,5,8,6,2,7]=>[2,3,1,2]=>10100110=>5 [8,5,1,6,7,3,2,4]=>[1,4,8,3,2,6,7,5]=>[3,1,3,1]=>10011001=>4 [3,7,5,8,2,1,6,4]=>[6,2,4,1,7,8,3,5]=>[1,2,3,2]=>11010010=>5 [3,2,6,7,1,8,5,4]=>[6,7,3,2,8,1,4,5]=>[2,1,2,3]=>10110100=>5 [6,1,3,7,8,2,5,4]=>[3,8,6,2,1,7,4,5]=>[2,1,1,2,2]=>10111010=>5 [5,4,7,8,1,2,6,3]=>[4,5,2,1,8,7,3,6]=>[2,1,2,1,2]=>10110110=>5 [5,7,1,4,3,8,6,2]=>[4,2,8,5,6,1,3,7]=>[1,2,2,3]=>11010100=>5 [3,1,6,7,8,2,5,4]=>[6,8,3,2,1,7,4,5]=>[2,1,1,2,2]=>10111010=>5 [1,3,6,7,8,2,5,4]=>[8,6,3,2,1,7,4,5]=>[1,1,1,1,2,2]=>11111010=>3 [3,4,6,7,8,2,1,5]=>[6,5,3,2,1,7,8,4]=>[1,1,1,1,3,1]=>11111001=>2 [1,6,3,7,8,2,5,4]=>[8,3,6,2,1,7,4,5]=>[1,2,1,2,2]=>11011010=>5 [3,2,6,7,8,4,1,5]=>[6,7,3,2,1,5,8,4]=>[2,1,1,3,1]=>10111001=>4 [6,2,7,8,5,3,1,4]=>[3,7,2,1,4,6,8,5]=>[2,1,4,1]=>10110001=>4 [6,2,7,4,8,5,1,3]=>[3,7,2,5,1,4,8,6]=>[2,2,3,1]=>10101001=>6 [6,2,1,4,7,8,5,3]=>[3,7,8,5,2,1,4,6]=>[3,1,1,3]=>10011100=>3 [5,7,2,8,1,4,6,3]=>[4,2,7,1,8,5,3,6]=>[1,2,2,1,2]=>11010110=>5 [7,8,4,3,1,6,5,2]=>[2,1,5,6,8,3,4,7]=>[1,4,3]=>11000100=>3 [2,6,1,7,8,3,5,4]=>[7,3,8,2,1,6,4,5]=>[1,2,1,2,2]=>11011010=>5 [2,7,5,8,6,1,3,4]=>[7,2,4,1,3,8,6,5]=>[1,2,3,1,1]=>11010011=>4 [6,7,1,3,8,5,4,2]=>[3,2,8,6,1,4,5,7]=>[1,2,1,4]=>11011000=>3 [6,7,1,8,5,2,4,3]=>[3,2,8,1,4,7,5,6]=>[1,2,3,2]=>11010010=>5 [2,6,4,7,8,1,3,5]=>[7,3,5,2,1,8,6,4]=>[1,2,1,2,1,1]=>11011011=>4 [1,2,6,7,8,5,3,4]=>[8,7,3,2,1,4,6,5]=>[1,1,1,1,3,1]=>11111001=>2 [1,6,7,4,8,3,2,5]=>[8,3,2,5,1,6,7,4]=>[1,1,2,3,1]=>11101001=>4 [1,6,4,7,8,3,2,5]=>[8,3,5,2,1,6,7,4]=>[1,2,1,3,1]=>11011001=>4 [1,4,6,7,8,3,2,5]=>[8,5,3,2,1,6,7,4]=>[1,1,1,1,3,1]=>11111001=>2 [6,1,2,4,5,3,7,8]=>[3,8,7,5,4,6,2,1]=>[2,1,1,2,1,1]=>10111011=>4 [8,1,7,3,2,6,4,5]=>[1,8,2,6,7,3,5,4]=>[2,3,2,1]=>10100101=>6 [4,1,3,2,5,6,7,8,9]=>[6,9,7,8,5,4,3,2,1]=>[2,2,1,1,1,1,1]=>101011111=>4 [5,4,1,2,3,6,7,8,9]=>[5,6,9,8,7,4,3,2,1]=>[3,1,1,1,1,1,1]=>100111111=>2 [8,7,2,1,5,4,6,3]=>[1,2,7,8,4,5,3,6]=>[4,2,2]=>10001010=>5 [2,7,4,8,6,5,3,1]=>[7,2,5,1,3,4,6,8]=>[1,2,5]=>11010000=>3 [7,6,5,2,4,1,8,3]=>[2,3,4,7,5,8,1,6]=>[4,2,2]=>10001010=>5 [7,6,4,3,1,5,8,2]=>[2,3,5,6,8,4,1,7]=>[5,1,2]=>10000110=>3 [6,1,8,7,2,3,5,4]=>[3,8,1,2,7,6,4,5]=>[2,3,1,2]=>10100110=>5 [3,6,8,2,7,1,5,4]=>[6,3,1,7,2,8,4,5]=>[1,1,2,2,2]=>11101010=>5 [2,8,6,1,4,5,7,3]=>[7,1,3,8,5,4,2,6]=>[1,3,1,1,2]=>11001110=>3 [6,8,7,2,5,4,1,3]=>[3,1,2,7,4,5,8,6]=>[1,3,3,1]=>11001001=>4 [7,8,1,3,4,6,2,5]=>[2,1,8,6,5,3,7,4]=>[1,2,1,1,2,1]=>11011101=>4 [3,2,6,4,8,7,5,1]=>[6,7,3,5,1,2,4,8]=>[2,2,4]=>10101000=>5 [4,7,2,8,6,5,1,3]=>[5,2,7,1,3,4,8,6]=>[1,2,4,1]=>11010001=>4 [4,7,1,8,6,5,3,2]=>[5,2,8,1,3,4,6,7]=>[1,2,5]=>11010000=>3 [4,7,3,8,6,1,5,2]=>[5,2,6,1,3,8,4,7]=>[1,2,3,2]=>11010010=>5 [4,3,6,8,7,2,5,1]=>[5,6,3,1,2,7,4,8]=>[2,1,3,2]=>10110010=>5 [4,3,8,2,5,7,6,1]=>[5,6,1,7,4,2,3,8]=>[2,2,1,3]=>10101100=>5 [4,1,2,6,8,7,5,3]=>[5,8,7,3,1,2,4,6]=>[2,1,1,4]=>10111000=>3 [3,1,6,4,8,7,2,5]=>[6,8,3,5,1,2,7,4]=>[2,2,3,1]=>10101001=>6 [4,1,6,8,7,5,2,3]=>[5,8,3,1,2,4,7,6]=>[2,1,4,1]=>10110001=>4 [3,8,1,4,5,7,2,6]=>[6,1,8,5,4,2,7,3]=>[1,2,1,1,2,1]=>11011101=>4 [3,8,1,4,2,5,7,6]=>[6,1,8,5,7,4,2,3]=>[1,2,2,1,2]=>11010110=>5 [4,1,8,3,5,2,7,6]=>[5,8,1,6,4,7,2,3]=>[2,2,2,2]=>10101010=>7 [3,8,1,2,5,4,7,6]=>[6,1,8,7,4,5,2,3]=>[1,2,1,2,2]=>11011010=>5 [4,2,3,6,8,7,1,5]=>[5,7,6,3,1,2,8,4]=>[2,1,1,3,1]=>10111001=>4 [4,2,8,3,5,1,7,6]=>[5,7,1,6,4,8,2,3]=>[2,2,2,2]=>10101010=>7 [4,2,8,3,5,7,6,1]=>[5,7,1,6,4,2,3,8]=>[2,2,1,3]=>10101100=>5 [3,8,2,5,1,4,7,6]=>[6,1,7,4,8,5,2,3]=>[1,2,2,1,2]=>11010110=>5 [4,2,8,5,7,1,3,6]=>[5,7,1,4,2,8,6,3]=>[2,2,2,1,1]=>10101011=>6 [3,8,1,5,2,4,7,6]=>[6,1,8,4,7,5,2,3]=>[1,2,2,1,2]=>11010110=>5 [7,5,6,4,1,3,2,8]=>[2,4,3,5,8,6,7,1]=>[2,3,2,1]=>10100101=>6 [7,8,6,4,1,3,2,5]=>[2,1,3,5,8,6,7,4]=>[1,4,2,1]=>11000101=>4 [7,1,4,2,5,6,3,8]=>[2,8,5,7,4,3,6,1]=>[2,2,1,2,1]=>10101101=>6 [7,3,2,1,4,6,5,8]=>[2,6,7,8,5,3,4,1]=>[4,1,2,1]=>10001101=>4 [7,6,1,4,3,2,5,8]=>[2,3,8,5,6,7,4,1]=>[3,3,1,1]=>10010011=>4 [7,4,1,3,5,6,2,8]=>[2,5,8,6,4,3,7,1]=>[3,1,1,2,1]=>10011101=>4 [2,7,1,3,5,6,8,4]=>[7,2,8,6,4,3,1,5]=>[1,2,1,1,1,2]=>11011110=>3 [3,6,2,1,5,8,7,4]=>[6,3,7,8,4,1,2,5]=>[1,3,1,3]=>11001100=>3 [2,3,6,1,5,8,7,4]=>[7,6,3,8,4,1,2,5]=>[1,1,2,1,3]=>11101100=>3 [3,4,7,1,5,6,8,2]=>[6,5,2,8,4,3,1,7]=>[1,1,2,1,1,2]=>11101110=>3 [3,6,7,4,1,2,8,5]=>[6,3,2,5,8,7,1,4]=>[1,1,3,1,2]=>11100110=>3 [4,3,2,7,1,6,8,5]=>[5,6,7,2,8,3,1,4]=>[3,2,1,2]=>10010110=>5 [2,6,8,1,5,3,7,4]=>[7,3,1,8,4,6,2,5]=>[1,1,2,2,2]=>11101010=>5 [6,8,2,1,5,3,7,4]=>[3,1,7,8,4,6,2,5]=>[1,3,2,2]=>11001010=>5 [4,5,8,2,3,6,7,1]=>[5,4,1,7,6,3,2,8]=>[1,1,2,1,1,2]=>11101110=>3 [2,4,8,5,3,6,7,1]=>[7,5,1,4,6,3,2,8]=>[1,1,3,1,2]=>11100110=>3 [5,3,2,6,4,8,7,1]=>[4,6,7,3,5,1,2,8]=>[3,2,3]=>10010100=>5 [2,4,5,3,8,6,7,1]=>[7,5,4,6,1,3,2,8]=>[1,1,2,2,2]=>11101010=>5 [4,3,5,2,8,6,7,1]=>[5,6,4,7,1,3,2,8]=>[2,2,2,2]=>10101010=>7 [4,8,5,3,2,6,7,1]=>[5,1,4,6,7,3,2,8]=>[1,4,1,2]=>11000110=>3 [3,5,4,2,8,6,7,1]=>[6,4,5,7,1,3,2,8]=>[1,3,2,2]=>11001010=>5 [4,1,2,7,5,6,8,3]=>[5,8,7,2,4,3,1,6]=>[2,1,2,1,2]=>10110110=>5 [5,6,7,4,2,8,3,1]=>[4,3,2,5,7,1,6,8]=>[1,1,3,3]=>11100100=>3 [2,5,7,4,6,8,3,1]=>[7,4,2,5,3,1,6,8]=>[1,1,2,1,3]=>11101100=>3 [6,4,1,8,5,2,7,3]=>[3,5,8,1,4,7,2,6]=>[3,3,2]=>10010010=>5 [2,6,1,8,5,4,7,3]=>[7,3,8,1,4,5,2,6]=>[1,2,3,2]=>11010010=>5 [7,1,2,8,5,6,4,3]=>[2,8,7,1,4,3,5,6]=>[2,1,2,3]=>10110100=>5 [4,3,2,6,8,5,7,1]=>[5,6,7,3,1,4,2,8]=>[3,1,2,2]=>10011010=>5 [3,1,6,8,5,4,7,2]=>[6,8,3,1,4,5,2,7]=>[2,1,3,2]=>10110010=>5 [2,3,5,8,4,6,7,1]=>[7,6,4,1,5,3,2,8]=>[1,1,1,2,1,2]=>11110110=>3 [3,5,2,8,4,6,7,1]=>[6,4,7,1,5,3,2,8]=>[1,2,2,1,2]=>11010110=>5 [5,4,2,8,3,6,7,1]=>[4,5,7,1,6,3,2,8]=>[3,2,1,2]=>10010110=>5 [5,3,4,8,2,6,7,1]=>[4,6,5,1,7,3,2,8]=>[2,1,2,1,2]=>10110110=>5 [6,3,2,5,8,4,7,1]=>[3,6,7,4,1,5,2,8]=>[3,1,2,2]=>10011010=>5 [6,1,8,3,5,4,7,2]=>[3,8,1,6,4,5,2,7]=>[2,2,2,2]=>10101010=>7 [5,4,8,3,2,6,7,1]=>[4,5,1,6,7,3,2,8]=>[2,3,1,2]=>10100110=>5 [5,8,2,3,4,6,7,1]=>[4,1,7,6,5,3,2,8]=>[1,2,1,1,1,2]=>11011110=>3 [7,2,5,6,4,1,8,3]=>[2,7,4,3,5,8,1,6]=>[2,1,3,2]=>10110010=>5 [6,2,1,7,8,5,4,3]=>[3,7,8,2,1,4,5,6]=>[3,1,4]=>10011000=>3 [7,2,5,1,4,6,8,3]=>[2,7,4,8,5,3,1,6]=>[2,2,1,1,2]=>10101110=>5 [8,2,1,7,4,5,6,3]=>[1,7,8,2,5,4,3,6]=>[3,2,1,2]=>10010110=>5 [8,2,5,6,4,1,7,3]=>[1,7,4,3,5,8,2,6]=>[2,1,3,2]=>10110010=>5 [8,2,5,6,4,7,1,3]=>[1,7,4,3,5,2,8,6]=>[2,1,2,2,1]=>10110101=>6 [7,4,6,8,3,2,5,1]=>[2,5,3,1,6,7,4,8]=>[2,1,3,2]=>10110010=>5 [7,4,6,8,3,2,1,5]=>[2,5,3,1,6,7,8,4]=>[2,1,4,1]=>10110001=>4 [1,5,8,6,3,7,2,4]=>[8,4,1,3,6,2,7,5]=>[1,1,3,2,1]=>11100101=>4 [6,1,8,7,3,5,2,4]=>[3,8,1,2,6,4,7,5]=>[2,3,2,1]=>10100101=>6 [6,1,2,7,3,5,4,8]=>[3,8,7,2,6,4,5,1]=>[2,1,2,2,1]=>10110101=>6 [3,1,7,8,2,4,6,5]=>[6,8,2,1,7,5,3,4]=>[2,1,2,1,2]=>10110110=>5 [1,4,6,8,3,2,7,5]=>[8,5,3,1,6,7,2,4]=>[1,1,1,3,2]=>11110010=>3 [3,4,5,2,7,1,8,6]=>[6,5,4,7,2,8,1,3]=>[1,1,2,2,2]=>11101010=>5 [3,1,7,6,8,4,2,5]=>[6,8,2,3,1,5,7,4]=>[2,2,3,1]=>10101001=>6 [7,5,6,1,2,3,8,4]=>[2,4,3,8,7,6,1,5]=>[2,2,1,1,2]=>10101110=>5 [1,5,7,6,3,2,8,4]=>[8,4,2,3,6,7,1,5]=>[1,1,4,2]=>11100010=>3 [8,4,6,7,3,1,2,5]=>[1,5,3,2,6,8,7,4]=>[2,1,3,1,1]=>10110011=>4 [8,4,6,7,3,2,5,1]=>[1,5,3,2,6,7,4,8]=>[2,1,3,2]=>10110010=>5 [3,8,7,6,2,4,5,1]=>[6,1,2,3,7,5,4,8]=>[1,4,1,2]=>11000110=>3 [3,7,2,4,1,6,8,5]=>[6,2,7,5,8,3,1,4]=>[1,2,2,1,2]=>11010110=>5 [8,4,6,2,3,5,7,1]=>[1,5,3,7,6,4,2,8]=>[2,2,1,1,2]=>10101110=>5 [8,4,6,2,3,1,5,7]=>[1,5,3,7,6,8,4,2]=>[2,2,2,1,1]=>10101011=>6 [8,5,2,6,3,4,1,7]=>[1,4,7,3,6,5,8,2]=>[3,2,2,1]=>10010101=>6 [7,5,2,1,4,3,8,6]=>[2,4,7,8,5,6,1,3]=>[4,2,2]=>10001010=>5 [3,4,1,7,5,2,8,6]=>[6,5,8,2,4,7,1,3]=>[1,2,3,2]=>11010010=>5 [3,1,7,8,5,4,2,6]=>[6,8,2,1,4,5,7,3]=>[2,1,4,1]=>10110001=>4 [3,4,5,2,8,6,1,7]=>[6,5,4,7,1,3,8,2]=>[1,1,2,3,1]=>11101001=>4 [3,4,5,2,8,1,6,7]=>[6,5,4,7,1,8,3,2]=>[1,1,2,2,1,1]=>11101011=>4 [3,4,5,2,6,8,1,7]=>[6,5,4,7,3,1,8,2]=>[1,1,2,1,2,1]=>11101101=>4 [3,4,5,2,1,8,6,7]=>[6,5,4,7,8,1,3,2]=>[1,1,3,2,1]=>11100101=>4 [7,4,8,5,6,1,2,3]=>[2,5,1,4,3,8,7,6]=>[2,2,2,1,1]=>10101011=>6 [6,2,8,5,1,3,4,7]=>[3,7,1,4,8,6,5,2]=>[2,3,1,1,1]=>10100111=>4 [3,2,7,8,6,1,4,5]=>[6,7,2,1,3,8,5,4]=>[2,1,3,1,1]=>10110011=>4 [6,8,2,5,1,3,7,4]=>[3,1,7,4,8,6,2,5]=>[1,2,2,1,2]=>11010110=>5 [6,7,4,2,1,5,3,8]=>[3,2,5,7,8,4,6,1]=>[1,4,2,1]=>11000101=>4 [5,7,4,1,3,6,2,8]=>[4,2,5,8,6,3,7,1]=>[1,3,1,2,1]=>11001101=>4 [4,2,7,5,1,8,3,6]=>[5,7,2,4,8,1,6,3]=>[2,3,2,1]=>10100101=>6 [1,5,4,6,3,8,2,7]=>[8,4,5,3,6,1,7,2]=>[1,2,2,2,1]=>11010101=>6 [5,4,8,1,7,3,6,2]=>[4,5,1,8,2,6,3,7]=>[2,2,2,2]=>10101010=>7 [4,3,8,6,2,1,7,5]=>[5,6,1,3,7,8,2,4]=>[2,4,2]=>10100010=>5 [8,3,6,2,4,1,7,5]=>[1,6,3,7,5,8,2,4]=>[2,2,2,2]=>10101010=>7 [7,2,8,5,3,1,6,4]=>[2,7,1,4,6,8,3,5]=>[2,4,2]=>10100010=>5 [2,5,4,8,7,3,6,1]=>[7,4,5,1,2,6,3,8]=>[1,2,3,2]=>11010010=>5 [6,4,2,8,7,3,1,5]=>[3,5,7,1,2,6,8,4]=>[3,4,1]=>10010001=>4 [3,6,8,1,7,4,2,5]=>[6,3,1,8,2,5,7,4]=>[1,1,2,3,1]=>11101001=>4 [7,8,6,3,1,4,5,2]=>[2,1,3,6,8,5,4,7]=>[1,4,1,2]=>11000110=>3 [2,7,5,4,8,3,1,6]=>[7,2,4,5,1,6,8,3]=>[1,3,3,1]=>11001001=>4 [6,8,7,5,2,1,3,4]=>[3,1,2,4,7,8,6,5]=>[1,5,1,1]=>11000011=>2 [7,6,2,8,5,1,3,4]=>[2,3,7,1,4,8,6,5]=>[3,3,1,1]=>10010011=>4 [1,5,7,6,2,8,4,3]=>[8,4,2,3,7,1,5,6]=>[1,1,3,3]=>11100100=>3 [4,7,8,5,6,2,3,1]=>[5,2,1,4,3,7,6,8]=>[1,1,2,2,2]=>11101010=>5 [2,7,8,5,6,1,4,3]=>[7,2,1,4,3,8,5,6]=>[1,1,2,2,2]=>11101010=>5 [6,7,8,4,2,1,5,3]=>[3,2,1,5,7,8,4,6]=>[1,1,4,2]=>11100010=>3 [4,7,8,1,2,5,6,3]=>[5,2,1,8,7,4,3,6]=>[1,1,2,1,1,2]=>11101110=>3 [6,1,4,7,2,5,8,3]=>[3,8,5,2,7,4,1,6]=>[2,1,2,1,2]=>10110110=>5 [6,7,8,3,5,4,2,1]=>[3,2,1,6,4,5,7,8]=>[1,1,2,4]=>11101000=>3 [2,7,8,3,6,5,4,1]=>[7,2,1,6,3,4,5,8]=>[1,1,2,4]=>11101000=>3 [8,6,2,1,7,5,4,3]=>[1,3,7,8,2,4,5,6]=>[4,4]=>10001000=>3 [3,6,1,2,5,7,4,8]=>[6,3,8,7,4,2,5,1]=>[1,2,1,1,2,1]=>11011101=>4 [5,6,3,2,7,4,1,8]=>[4,3,6,7,2,5,8,1]=>[1,3,3,1]=>11001001=>4 [2,6,4,3,7,5,8,1]=>[7,3,5,6,2,4,1,8]=>[1,3,2,2]=>11001010=>5 [8,2,4,7,1,5,3,6]=>[1,7,5,2,8,4,6,3]=>[2,1,2,2,1]=>10110101=>6 [5,2,3,7,8,4,1,6]=>[4,7,6,2,1,5,8,3]=>[2,1,1,3,1]=>10111001=>4 [7,2,3,6,1,8,4,5]=>[2,7,6,3,8,1,5,4]=>[2,1,2,2,1]=>10110101=>6 [5,2,7,3,6,8,4,1]=>[4,7,2,6,3,1,5,8]=>[2,2,1,3]=>10101100=>5 [7,5,6,1,2,8,3,4]=>[2,4,3,8,7,1,6,5]=>[2,2,1,2,1]=>10101101=>6 [4,1,5,8,6,2,7,3]=>[5,8,4,1,3,7,2,6]=>[2,1,3,2]=>10110010=>5 [3,4,6,5,7,1,2,8]=>[6,5,3,4,2,8,7,1]=>[1,1,2,2,1,1]=>11101011=>4 [2,4,7,5,6,3,1,8]=>[7,5,2,4,3,6,8,1]=>[1,1,2,3,1]=>11101001=>4 [7,5,1,6,3,4,2,8]=>[2,4,8,3,6,5,7,1]=>[3,2,2,1]=>10010101=>6 [8,5,7,2,4,1,6,3]=>[1,4,2,7,5,8,3,6]=>[2,2,2,2]=>10101010=>7 [2,6,7,5,8,1,4,3]=>[7,3,2,4,1,8,5,6]=>[1,1,2,2,2]=>11101010=>5 [2,6,7,5,8,3,4,1]=>[7,3,2,4,1,6,5,8]=>[1,1,2,2,2]=>11101010=>5 [2,5,8,7,6,3,4,1]=>[7,4,1,2,3,6,5,8]=>[1,1,4,2]=>11100010=>3 [7,4,8,2,1,5,6,3]=>[2,5,1,7,8,4,3,6]=>[2,3,1,2]=>10100110=>5 [7,3,2,4,1,6,5,8]=>[2,6,7,5,8,3,4,1]=>[3,2,2,1]=>10010101=>6 [8,3,2,7,5,4,6,1]=>[1,6,7,2,4,5,3,8]=>[3,3,2]=>10010010=>5 [5,4,2,7,1,6,3,8]=>[4,5,7,2,8,3,6,1]=>[3,2,2,1]=>10010101=>6 [2,3,6,7,8,5,1,4]=>[7,6,3,2,1,4,8,5]=>[1,1,1,1,3,1]=>11111001=>2 [8,3,7,1,6,4,2,5]=>[1,6,2,8,3,5,7,4]=>[2,2,3,1]=>10101001=>6 [2,4,7,8,6,3,5,1]=>[7,5,2,1,3,6,4,8]=>[1,1,1,3,2]=>11110010=>3 [8,2,1,7,6,5,3,4]=>[1,7,8,2,3,4,6,5]=>[3,4,1]=>10010001=>4 [5,7,4,1,6,8,2,3]=>[4,2,5,8,3,1,7,6]=>[1,3,1,2,1]=>11001101=>4 [1,4,6,8,7,3,2,5]=>[8,5,3,1,2,6,7,4]=>[1,1,1,4,1]=>11110001=>2 [1,5,8,3,6,2,4,7]=>[8,4,1,6,3,7,5,2]=>[1,1,2,2,1,1]=>11101011=>4 [6,5,1,2,8,3,4,7]=>[3,4,8,7,1,6,5,2]=>[3,1,2,1,1]=>10011011=>4 [5,6,8,1,3,7,2,4]=>[4,3,1,8,6,2,7,5]=>[1,1,2,1,2,1]=>11101101=>4 [6,4,2,8,3,7,1,5]=>[3,5,7,1,6,2,8,4]=>[3,2,2,1]=>10010101=>6 [3,7,4,8,6,1,2,5]=>[6,2,5,1,3,8,7,4]=>[1,2,3,1,1]=>11010011=>4 [7,8,2,5,6,3,1,4]=>[2,1,7,4,3,6,8,5]=>[1,2,1,3,1]=>11011001=>4 [6,1,8,5,3,2,4,7]=>[3,8,1,4,6,7,5,2]=>[2,4,1,1]=>10100011=>4 [1,6,8,5,3,2,4,7]=>[8,3,1,4,6,7,5,2]=>[1,1,4,1,1]=>11100011=>2 [5,1,2,8,3,7,4,6]=>[4,8,7,1,6,2,5,3]=>[2,1,2,2,1]=>10110101=>6 [8,5,2,1,3,7,4,6]=>[1,4,7,8,6,2,5,3]=>[4,1,2,1]=>10001101=>4 [5,8,1,6,7,4,2,3]=>[4,1,8,3,2,5,7,6]=>[1,2,1,3,1]=>11011001=>4 [3,6,4,2,8,1,5,7]=>[6,3,5,7,1,8,4,2]=>[1,3,2,1,1]=>11001011=>4 [7,2,6,5,1,3,8,4]=>[2,7,3,4,8,6,1,5]=>[2,3,1,2]=>10100110=>5 [5,2,8,3,1,7,4,6]=>[4,7,1,6,8,2,5,3]=>[2,3,2,1]=>10100101=>6 [5,2,1,8,3,7,4,6]=>[4,7,8,1,6,2,5,3]=>[3,2,2,1]=>10010101=>6 [1,2,8,4,6,7,3,5]=>[8,7,1,5,3,2,6,4]=>[1,1,2,1,2,1]=>11101101=>4 [7,2,8,4,6,1,3,5]=>[2,7,1,5,3,8,6,4]=>[2,2,2,1,1]=>10101011=>6 [6,2,7,4,3,8,1,5]=>[3,7,2,5,6,1,8,4]=>[2,3,2,1]=>10100101=>6 [8,2,5,7,3,4,1,6]=>[1,7,4,2,6,5,8,3]=>[2,1,2,2,1]=>10110101=>6 [1,7,8,4,6,2,3,5]=>[8,2,1,5,3,7,6,4]=>[1,1,2,2,1,1]=>11101011=>4 [7,1,8,4,6,2,3,5]=>[2,8,1,5,3,7,6,4]=>[2,2,2,1,1]=>10101011=>6 [1,8,6,5,4,7,2,3]=>[8,1,3,4,5,2,7,6]=>[1,4,2,1]=>11000101=>4 [5,8,6,1,4,7,2,3]=>[4,1,3,8,5,2,7,6]=>[1,3,1,2,1]=>11001101=>4 [8,1,6,5,4,7,2,3]=>[1,8,3,4,5,2,7,6]=>[2,3,2,1]=>10100101=>6 [4,1,6,8,7,3,2,5]=>[5,8,3,1,2,6,7,4]=>[2,1,4,1]=>10110001=>4 [5,1,4,6,7,3,8,2]=>[4,8,5,3,2,6,1,7]=>[2,1,1,2,2]=>10111010=>5 [4,8,6,1,5,7,2,3]=>[5,1,3,8,4,2,7,6]=>[1,3,1,2,1]=>11001101=>4 [4,1,6,2,5,7,8,3]=>[5,8,3,7,4,2,1,6]=>[2,2,1,1,2]=>10101110=>5 [5,1,3,7,2,4,8,6]=>[4,8,6,2,7,5,1,3]=>[2,1,2,1,2]=>10110110=>5 [3,4,8,2,5,7,1,6]=>[6,5,1,7,4,2,8,3]=>[1,1,2,1,2,1]=>11101101=>4 [6,7,3,4,1,2,8,5]=>[3,2,6,5,8,7,1,4]=>[1,2,2,1,2]=>11010110=>5 [7,1,3,4,6,2,8,5]=>[2,8,6,5,3,7,1,4]=>[2,1,1,2,2]=>10111010=>5 [1,7,3,4,6,2,8,5]=>[8,2,6,5,3,7,1,4]=>[1,2,1,2,2]=>11011010=>5 [4,7,2,8,5,3,1,6]=>[5,2,7,1,4,6,8,3]=>[1,2,4,1]=>11010001=>4 [2,8,5,1,3,4,7,6]=>[7,1,4,8,6,5,2,3]=>[1,3,1,1,2]=>11001110=>3 [8,1,6,5,2,4,7,3]=>[1,8,3,4,7,5,2,6]=>[2,3,1,2]=>10100110=>5 [8,7,1,4,6,3,2,5]=>[1,2,8,5,3,6,7,4]=>[3,1,3,1]=>10011001=>4 [5,7,1,3,6,8,2,4]=>[4,2,8,6,3,1,7,5]=>[1,2,1,1,2,1]=>11011101=>4 [6,5,2,8,4,7,1,3]=>[3,4,7,1,5,2,8,6]=>[3,2,2,1]=>10010101=>6 [1,4,7,5,8,6,3,2]=>[8,5,2,4,1,3,6,7]=>[1,1,2,4]=>11101000=>3 [8,5,7,2,3,6,1,4]=>[1,4,2,7,6,3,8,5]=>[2,2,1,2,1]=>10101101=>6 [6,1,8,3,4,7,2,5]=>[3,8,1,6,5,2,7,4]=>[2,2,1,2,1]=>10101101=>6 [1,8,6,3,5,2,7,4]=>[8,1,3,6,4,7,2,5]=>[1,3,2,2]=>11001010=>5 [7,8,1,3,5,4,2,6]=>[2,1,8,6,4,5,7,3]=>[1,2,1,3,1]=>11011001=>4 [3,5,8,2,6,4,1,7]=>[6,4,1,7,3,5,8,2]=>[1,1,2,3,1]=>11101001=>4 [4,2,5,8,6,3,7,1]=>[5,7,4,1,3,6,2,8]=>[2,1,3,2]=>10110010=>5 [8,2,5,6,3,1,7,4]=>[1,7,4,3,6,8,2,5]=>[2,1,3,2]=>10110010=>5 [4,2,1,5,3,8,7,6]=>[5,7,8,4,6,1,2,3]=>[3,2,3]=>10010100=>5 [6,8,2,4,7,3,1,5]=>[3,1,7,5,2,6,8,4]=>[1,2,1,3,1]=>11011001=>4 [1,8,2,4,3,5,7,6]=>[8,1,7,5,6,4,2,3]=>[1,2,2,1,2]=>11010110=>5 [8,7,1,4,2,3,6,5]=>[1,2,8,5,7,6,3,4]=>[3,2,1,2]=>10010110=>5 [7,1,8,4,2,5,3,6]=>[2,8,1,5,7,4,6,3]=>[2,3,2,1]=>10100101=>6 [1,4,8,7,5,2,6,3]=>[8,5,1,2,4,7,3,6]=>[1,1,4,2]=>11100010=>3 [4,1,8,6,5,7,3,2]=>[5,8,1,3,4,2,6,7]=>[2,3,3]=>10100100=>5 [5,7,6,4,1,2,3,8]=>[4,2,3,5,8,7,6,1]=>[1,4,1,1,1]=>11000111=>2 [1,5,6,4,2,3,7,8]=>[8,4,3,5,7,6,2,1]=>[1,1,3,1,1,1]=>11100111=>2 [5,7,3,6,8,4,2,1]=>[4,2,6,3,1,5,7,8]=>[1,2,1,4]=>11011000=>3 [7,4,6,2,5,8,1,3]=>[2,5,3,7,4,1,8,6]=>[2,2,1,2,1]=>10101101=>6 [8,7,3,4,2,6,1,5]=>[1,2,6,5,7,3,8,4]=>[3,2,2,1]=>10010101=>6 [5,8,7,4,2,1,3,6]=>[4,1,2,5,7,8,6,3]=>[1,5,1,1]=>11000011=>2 [3,1,5,2,7,8,6,4]=>[6,8,4,7,2,1,3,5]=>[2,2,1,3]=>10101100=>5 [6,3,2,5,1,8,7,4]=>[3,6,7,4,8,1,2,5]=>[3,2,3]=>10010100=>5 [1,5,8,7,3,4,2,6]=>[8,4,1,2,6,5,7,3]=>[1,1,3,2,1]=>11100101=>4 [1,8,7,3,2,5,4,6]=>[8,1,2,6,7,4,5,3]=>[1,4,2,1]=>11000101=>4 [1,2,5,4,8,7,3,6]=>[8,7,4,5,1,2,6,3]=>[1,1,2,3,1]=>11101001=>4 [1,5,2,4,7,3,8,6]=>[8,4,7,5,2,6,1,3]=>[1,2,1,2,2]=>11011010=>5 [2,7,4,1,8,6,3,5]=>[7,2,5,8,1,3,6,4]=>[1,3,3,1]=>11001001=>4 [8,6,3,5,7,4,1,2]=>[1,3,6,4,2,5,8,7]=>[3,1,3,1]=>10011001=>4 [8,5,3,2,1,4,7,6]=>[1,4,6,7,8,5,2,3]=>[5,1,2]=>10000110=>3 [1,2,7,6,8,4,3,5]=>[8,7,2,3,1,5,6,4]=>[1,1,2,3,1]=>11101001=>4 [1,6,3,2,5,7,8,4]=>[8,3,6,7,4,2,1,5]=>[1,3,1,1,2]=>11001110=>3 [1,7,3,4,2,6,8,5]=>[8,2,6,5,7,3,1,4]=>[1,2,2,1,2]=>11010110=>5 [7,4,6,8,5,2,1,3]=>[2,5,3,1,4,7,8,6]=>[2,1,4,1]=>10110001=>4 [1,2,5,8,4,6,3,7]=>[8,7,4,1,5,3,6,2]=>[1,1,1,2,2,1]=>11110101=>4 [3,1,8,5,2,6,4,7]=>[6,8,1,4,7,3,5,2]=>[2,3,2,1]=>10100101=>6 [5,2,1,3,7,4,8,6]=>[4,7,8,6,2,5,1,3]=>[3,1,2,2]=>10011010=>5 [4,1,8,6,2,3,7,5]=>[5,8,1,3,7,6,2,4]=>[2,3,1,2]=>10100110=>5 [4,8,6,3,2,7,5,1]=>[5,1,3,6,7,2,4,8]=>[1,4,3]=>11000100=>3 [7,5,8,6,2,3,4,1]=>[2,4,1,3,7,6,5,8]=>[2,3,1,2]=>10100110=>5 [1,7,6,4,3,8,5,2]=>[8,2,3,5,6,1,4,7]=>[1,4,3]=>11000100=>3 [1,8,5,7,6,3,2,4]=>[8,1,4,2,3,6,7,5]=>[1,2,4,1]=>11010001=>4 [1,4,7,3,6,8,5,2]=>[8,5,2,6,3,1,4,7]=>[1,1,2,1,3]=>11101100=>3 [1,6,3,5,7,8,4,2]=>[8,3,6,4,2,1,5,7]=>[1,2,1,1,3]=>11011100=>3 [1,5,6,3,2,7,8,4]=>[8,4,3,6,7,2,1,5]=>[1,1,3,1,2]=>11100110=>3 [1,8,4,7,5,3,2,6]=>[8,1,5,2,4,6,7,3]=>[1,2,4,1]=>11010001=>4 [2,8,5,6,3,1,7,4]=>[7,1,4,3,6,8,2,5]=>[1,2,3,2]=>11010010=>5 [1,2,6,8,4,3,7,5]=>[8,7,3,1,5,6,2,4]=>[1,1,1,3,2]=>11110010=>3 [5,3,7,2,6,4,1,8]=>[4,6,2,7,3,5,8,1]=>[2,2,3,1]=>10101001=>6 [5,3,8,2,6,1,7,4]=>[4,6,1,7,3,8,2,5]=>[2,2,2,2]=>10101010=>7 [7,6,2,5,3,4,1,8]=>[2,3,7,4,6,5,8,1]=>[3,2,2,1]=>10010101=>6 [7,6,2,4,5,3,1,8]=>[2,3,7,5,4,6,8,1]=>[3,1,3,1]=>10011001=>4 [6,4,7,2,3,5,1,8]=>[3,5,2,7,6,4,8,1]=>[2,2,1,2,1]=>10101101=>6 [7,6,2,4,3,5,1,8]=>[2,3,7,5,6,4,8,1]=>[3,2,2,1]=>10010101=>6 [7,6,2,3,5,4,1,8]=>[2,3,7,6,4,5,8,1]=>[3,1,3,1]=>10011001=>4 [8,4,2,7,1,6,3,5]=>[1,5,7,2,8,3,6,4]=>[3,2,2,1]=>10010101=>6 [8,4,2,6,5,1,7,3]=>[1,5,7,3,4,8,2,6]=>[3,3,2]=>10010010=>5 [4,6,3,2,8,1,7,5]=>[5,3,6,7,1,8,2,4]=>[1,3,2,2]=>11001010=>5 [8,7,6,1,5,3,2,4]=>[1,2,3,8,4,6,7,5]=>[4,3,1]=>10001001=>4 [7,8,4,3,1,5,6,2]=>[2,1,5,6,8,4,3,7]=>[1,4,1,2]=>11000110=>3 [8,5,2,7,1,4,6,3]=>[1,4,7,2,8,5,3,6]=>[3,2,1,2]=>10010110=>5 [8,7,6,1,4,3,5,2]=>[1,2,3,8,5,6,4,7]=>[4,2,2]=>10001010=>5 [8,7,6,1,3,5,4,2]=>[1,2,3,8,6,4,5,7]=>[4,1,3]=>10001100=>3 [8,7,6,1,5,4,2,3]=>[1,2,3,8,4,5,7,6]=>[4,3,1]=>10001001=>4 [8,6,2,7,1,5,3,4]=>[1,3,7,2,8,4,6,5]=>[3,2,2,1]=>10010101=>6 [5,3,7,2,8,1,6,4]=>[4,6,2,7,1,8,3,5]=>[2,2,2,2]=>10101010=>7 [8,3,5,4,2,1,6,7]=>[1,6,4,5,7,8,3,2]=>[2,4,1,1]=>10100011=>4 [8,6,3,7,1,2,5,4]=>[1,3,6,2,8,7,4,5]=>[3,2,1,2]=>10010110=>5 [7,8,4,3,1,5,2,6]=>[2,1,5,6,8,4,7,3]=>[1,4,2,1]=>11000101=>4 [8,6,3,7,1,5,2,4]=>[1,3,6,2,8,4,7,5]=>[3,2,2,1]=>10010101=>6 [8,7,6,1,2,5,3,4]=>[1,2,3,8,7,4,6,5]=>[4,1,2,1]=>10001101=>4 [8,7,6,1,2,5,4,3]=>[1,2,3,8,7,4,5,6]=>[4,1,3]=>10001100=>3 [8,7,6,1,4,2,5,3]=>[1,2,3,8,5,7,4,6]=>[4,2,2]=>10001010=>5 [4,7,5,8,6,1,3,2]=>[5,2,4,1,3,8,6,7]=>[1,2,3,2]=>11010010=>5 [6,5,7,3,8,4,1,2]=>[3,4,2,6,1,5,8,7]=>[2,2,3,1]=>10101001=>6 [8,7,5,4,1,2,6,3]=>[1,2,4,5,8,7,3,6]=>[5,1,2]=>10000110=>3 [8,6,7,1,5,3,2,4]=>[1,3,2,8,4,6,7,5]=>[2,2,3,1]=>10101001=>6 [7,5,6,1,3,4,2,8]=>[2,4,3,8,6,5,7,1]=>[2,2,1,2,1]=>10101101=>6 [7,8,5,1,3,4,2,6]=>[2,1,4,8,6,5,7,3]=>[1,3,1,2,1]=>11001101=>4 [5,7,8,3,4,6,1,2]=>[4,2,1,6,5,3,8,7]=>[1,1,2,1,2,1]=>11101101=>4 [7,5,1,3,4,2,6,8]=>[2,4,8,6,5,7,3,1]=>[3,1,2,1,1]=>10011011=>4 [5,7,1,3,4,2,8,6]=>[4,2,8,6,5,7,1,3]=>[1,2,1,2,2]=>11011010=>5 [7,3,5,6,4,8,1,2]=>[2,6,4,3,5,1,8,7]=>[2,1,2,2,1]=>10110101=>6 [1,7,3,8,2,5,6,4]=>[8,2,6,1,7,4,3,5]=>[1,2,2,1,2]=>11010110=>5 [1,5,3,7,8,4,6,2]=>[8,4,6,2,1,5,3,7]=>[1,2,1,2,2]=>11011010=>5 [1,5,7,3,8,2,6,4]=>[8,4,2,6,1,7,3,5]=>[1,1,2,2,2]=>11101010=>5 [7,1,5,3,6,2,4,8]=>[2,8,4,6,3,7,5,1]=>[2,2,2,1,1]=>10101011=>6 [1,7,3,5,8,4,2,6]=>[8,2,6,4,1,5,7,3]=>[1,2,1,3,1]=>11011001=>4 [1,3,7,5,8,6,2,4]=>[8,6,2,4,1,3,7,5]=>[1,1,2,3,1]=>11101001=>4 [1,7,5,8,3,4,2,6]=>[8,2,4,1,6,5,7,3]=>[1,2,2,2,1]=>11010101=>6 [7,1,5,6,3,4,2,8]=>[2,8,4,3,6,5,7,1]=>[2,1,2,2,1]=>10110101=>6 [7,3,5,6,4,1,2,8]=>[2,6,4,3,5,8,7,1]=>[2,1,3,1,1]=>10110011=>4 [3,7,5,8,4,1,2,6]=>[6,2,4,1,5,8,7,3]=>[1,2,3,1,1]=>11010011=>4 [7,5,6,8,1,3,4,2]=>[2,4,3,1,8,6,5,7]=>[2,1,2,1,2]=>10110110=>5 [5,3,4,7,8,1,2,6]=>[4,6,5,2,1,8,7,3]=>[2,1,1,2,1,1]=>10111011=>4 [5,3,7,6,8,1,2,4]=>[4,6,2,3,1,8,7,5]=>[2,2,2,1,1]=>10101011=>6 [3,7,1,2,5,8,4,6]=>[6,2,8,7,4,1,5,3]=>[1,2,1,1,2,1]=>11011101=>4 [3,1,2,7,5,8,4,6]=>[6,8,7,2,4,1,5,3]=>[2,1,2,2,1]=>10110101=>6 [3,1,2,5,7,8,6,4]=>[6,8,7,4,2,1,3,5]=>[2,1,1,1,3]=>10111100=>3 [7,3,1,5,4,6,2,8]=>[2,6,8,4,5,3,7,1]=>[3,2,2,1]=>10010101=>6 [7,3,5,1,2,6,4,8]=>[2,6,4,8,7,3,5,1]=>[2,2,1,2,1]=>10101101=>6 [3,7,1,2,8,5,6,4]=>[6,2,8,7,1,4,3,5]=>[1,2,1,2,2]=>11011010=>5 [5,3,1,7,4,6,8,2]=>[4,6,8,2,5,3,1,7]=>[3,2,1,2]=>10010110=>5 [7,4,8,3,5,6,1,2]=>[2,5,1,6,4,3,8,7]=>[2,2,1,2,1]=>10101101=>6 [5,7,6,4,2,3,1,8]=>[4,2,3,5,7,6,8,1]=>[1,4,2,1]=>11000101=>4 [7,4,8,2,5,6,1,3]=>[2,5,1,7,4,3,8,6]=>[2,2,1,2,1]=>10101101=>6 [7,5,8,4,6,2,1,3]=>[2,4,1,5,3,7,8,6]=>[2,2,3,1]=>10101001=>6 [5,8,2,4,6,1,3,7]=>[4,1,7,5,3,8,6,2]=>[1,2,1,2,1,1]=>11011011=>4 [6,1,4,8,5,2,7,3]=>[3,8,5,1,4,7,2,6]=>[2,1,3,2]=>10110010=>5 [5,8,1,2,3,6,7,4]=>[4,1,8,7,6,3,2,5]=>[1,2,1,1,1,2]=>11011110=>3 [5,6,8,4,7,2,1,3]=>[4,3,1,5,2,7,8,6]=>[1,1,2,3,1]=>11101001=>4 [4,5,1,8,3,6,7,2]=>[5,4,8,1,6,3,2,7]=>[1,2,2,1,2]=>11010110=>5 [5,8,1,2,4,6,7,3]=>[4,1,8,7,5,3,2,6]=>[1,2,1,1,1,2]=>11011110=>3 [6,8,7,4,2,1,5,3]=>[3,1,2,5,7,8,4,6]=>[1,5,2]=>11000010=>3 [4,3,2,7,8,6,1,5]=>[5,6,7,2,1,3,8,4]=>[3,1,3,1]=>10011001=>4 [6,8,7,4,3,1,2,5]=>[3,1,2,5,6,8,7,4]=>[1,5,1,1]=>11000011=>2 [5,6,8,4,7,3,1,2]=>[4,3,1,5,2,6,8,7]=>[1,1,2,3,1]=>11101001=>4 [7,3,5,4,2,8,1,6]=>[2,6,4,5,7,1,8,3]=>[2,3,2,1]=>10100101=>6 [2,8,6,4,3,1,5,7]=>[7,1,3,5,6,8,4,2]=>[1,5,1,1]=>11000011=>2 [8,1,7,4,3,2,5,6]=>[1,8,2,5,6,7,4,3]=>[2,4,1,1]=>10100011=>4 [3,1,6,8,5,2,7,4]=>[6,8,3,1,4,7,2,5]=>[2,1,3,2]=>10110010=>5 [4,8,1,3,2,6,7,5]=>[5,1,8,6,7,3,2,4]=>[1,2,2,1,2]=>11010110=>5 [5,4,8,1,2,6,7,3]=>[4,5,1,8,7,3,2,6]=>[2,2,1,1,2]=>10101110=>5 [4,8,1,2,3,6,7,5]=>[5,1,8,7,6,3,2,4]=>[1,2,1,1,1,2]=>11011110=>3 [4,1,5,8,2,6,7,3]=>[5,8,4,1,7,3,2,6]=>[2,1,2,1,2]=>10110110=>5 [5,1,8,2,4,6,7,3]=>[4,8,1,7,5,3,2,6]=>[2,2,1,1,2]=>10101110=>5 [3,5,1,8,2,6,7,4]=>[6,4,8,1,7,3,2,5]=>[1,2,2,1,2]=>11010110=>5 [2,6,1,8,5,3,7,4]=>[7,3,8,1,4,6,2,5]=>[1,2,3,2]=>11010010=>5 [3,8,1,2,4,6,7,5]=>[6,1,8,7,5,3,2,4]=>[1,2,1,1,1,2]=>11011110=>3 [5,2,3,8,1,7,4,6]=>[4,7,6,1,8,2,5,3]=>[2,1,2,2,1]=>10110101=>6 [2,3,5,7,1,6,4,8]=>[7,6,4,2,8,3,5,1]=>[1,1,1,2,2,1]=>11110101=>4 [1,5,3,8,2,4,6,7]=>[8,4,6,1,7,5,3,2]=>[1,2,2,1,1,1]=>11010111=>4 [8,6,2,7,5,1,4,3]=>[1,3,7,2,4,8,5,6]=>[3,3,2]=>10010010=>5 [8,6,2,5,3,7,1,4]=>[1,3,7,4,6,2,8,5]=>[3,2,2,1]=>10010101=>6 [2,7,1,8,6,3,5,4]=>[7,2,8,1,3,6,4,5]=>[1,2,3,2]=>11010010=>5 [5,7,6,1,3,2,8,4]=>[4,2,3,8,6,7,1,5]=>[1,3,2,2]=>11001010=>5 [5,7,3,2,6,1,4,8]=>[4,2,6,7,3,8,5,1]=>[1,3,2,1,1]=>11001011=>4 [8,1,7,5,3,6,4,2]=>[1,8,2,4,6,3,5,7]=>[2,3,3]=>10100100=>5 [8,6,5,3,7,4,2,1]=>[1,3,4,6,2,5,7,8]=>[4,4]=>10001000=>3 [3,5,4,6,1,7,8,2]=>[6,4,5,3,8,2,1,7]=>[1,2,2,1,2]=>11010110=>5 [4,6,5,1,8,3,7,2]=>[5,3,4,8,1,6,2,7]=>[1,3,2,2]=>11001010=>5 [8,1,5,4,6,3,7,2]=>[1,8,4,5,3,6,2,7]=>[2,2,2,2]=>10101010=>7 [2,7,1,5,6,4,3,8]=>[7,2,8,4,3,5,6,1]=>[1,2,1,3,1]=>11011001=>4 [4,7,5,1,8,6,2,3]=>[5,2,4,8,1,3,7,6]=>[1,3,3,1]=>11001001=>4 [8,4,6,3,1,7,2,5]=>[1,5,3,6,8,2,7,4]=>[2,3,2,1]=>10100101=>6 [8,4,2,5,6,3,7,1]=>[1,5,7,4,3,6,2,8]=>[3,1,2,2]=>10011010=>5 [8,6,2,7,5,4,3,1]=>[1,3,7,2,4,5,6,8]=>[3,5]=>10010000=>3 [8,5,6,2,1,7,4,3]=>[1,4,3,7,8,2,5,6]=>[2,3,3]=>10100100=>5 [3,5,6,4,1,7,2,8]=>[6,4,3,5,8,2,7,1]=>[1,1,3,2,1]=>11100101=>4 [2,5,6,1,7,4,3,8]=>[7,4,3,8,2,5,6,1]=>[1,1,2,3,1]=>11101001=>4 [2,7,1,8,6,5,4,3]=>[7,2,8,1,3,4,5,6]=>[1,2,5]=>11010000=>3 [3,7,6,1,8,5,4,2]=>[6,2,3,8,1,4,5,7]=>[1,3,4]=>11001000=>3 [8,6,4,2,9,1,3,5,7]=>[2,4,6,8,1,9,7,5,3]=>[4,2,1,1,1]=>100010111=>4 [9,7,5,3,1,2,4,6,8]=>[1,3,5,7,9,8,6,4,2]=>[5,1,1,1,1]=>100001111=>2 [6,2,8,3,1,4,5,7]=>[3,7,1,6,8,5,4,2]=>[2,3,1,1,1]=>10100111=>4 [2,7,8,3,1,4,5,6]=>[7,2,1,6,8,5,4,3]=>[1,1,3,1,1,1]=>11100111=>2 [1,7,8,5,3,2,6,4]=>[8,2,1,4,6,7,3,5]=>[1,1,4,2]=>11100010=>3 [1,5,3,2,8,6,7,4]=>[8,4,6,7,1,3,2,5]=>[1,3,2,2]=>11001010=>5 [1,8,5,3,2,6,7,4]=>[8,1,4,6,7,3,2,5]=>[1,4,1,2]=>11000110=>3 [1,7,8,5,6,3,2,4]=>[8,2,1,4,3,6,7,5]=>[1,1,2,3,1]=>11101001=>4 [1,8,5,6,3,2,7,4]=>[8,1,4,3,6,7,2,5]=>[1,2,3,2]=>11010010=>5 [1,5,8,6,7,3,2,4]=>[8,4,1,3,2,6,7,5]=>[1,1,2,3,1]=>11101001=>4 [1,5,6,7,3,2,8,4]=>[8,4,3,2,6,7,1,5]=>[1,1,1,3,2]=>11110010=>3 [1,7,5,2,3,4,8,6]=>[8,2,4,7,6,5,1,3]=>[1,3,1,1,2]=>11001110=>3 [1,7,5,2,4,8,6,3]=>[8,2,4,7,5,1,3,6]=>[1,3,1,3]=>11001100=>3 [1,4,8,6,2,3,5,7]=>[8,5,1,3,7,6,4,2]=>[1,1,3,1,1,1]=>11100111=>2 [1,7,8,3,2,4,5,6]=>[8,2,1,6,7,5,4,3]=>[1,1,3,1,1,1]=>11100111=>2 [1,4,5,8,6,7,2,3]=>[8,5,4,1,3,2,7,6]=>[1,1,1,2,2,1]=>11110101=>4 [1,8,4,5,6,7,2,3]=>[8,1,5,4,3,2,7,6]=>[1,2,1,1,2,1]=>11011101=>4 [1,2,8,6,7,4,3,5]=>[8,7,1,3,2,5,6,4]=>[1,1,2,3,1]=>11101001=>4 [1,2,8,6,3,4,5,7]=>[8,7,1,3,6,5,4,2]=>[1,1,3,1,1,1]=>11100111=>2 [1,2,7,4,3,8,5,6]=>[8,7,2,5,6,1,4,3]=>[1,1,3,2,1]=>11100101=>4 [1,6,7,8,4,2,3,5]=>[8,3,2,1,5,7,6,4]=>[1,1,1,3,1,1]=>11110011=>2 [1,6,7,3,5,2,8,4]=>[8,3,2,6,4,7,1,5]=>[1,1,2,2,2]=>11101010=>5 [1,6,7,8,3,4,2,5]=>[8,3,2,1,6,5,7,4]=>[1,1,1,2,2,1]=>11110101=>4 [1,7,8,5,6,2,3,4]=>[8,2,1,4,3,7,6,5]=>[1,1,2,2,1,1]=>11101011=>4 [1,8,6,2,3,5,7,4]=>[8,1,3,7,6,4,2,5]=>[1,3,1,1,2]=>11001110=>3 [1,7,4,2,3,8,5,6]=>[8,2,5,7,6,1,4,3]=>[1,3,1,2,1]=>11001101=>4 [1,7,8,4,2,3,5,6]=>[8,2,1,5,7,6,4,3]=>[1,1,3,1,1,1]=>11100111=>2 [1,7,3,5,6,2,8,4]=>[8,2,6,4,3,7,1,5]=>[1,2,1,2,2]=>11011010=>5 [1,7,8,3,4,2,5,6]=>[8,2,1,6,5,7,4,3]=>[1,1,2,2,1,1]=>11101011=>4 [1,5,8,6,7,2,3,4]=>[8,4,1,3,2,7,6,5]=>[1,1,2,2,1,1]=>11101011=>4 [1,2,7,4,6,3,8,5]=>[8,7,2,5,3,6,1,4]=>[1,1,2,2,2]=>11101010=>5 [1,2,8,6,7,3,4,5]=>[8,7,1,3,2,6,5,4]=>[1,1,2,2,1,1]=>11101011=>4 [1,7,4,5,2,3,8,6]=>[8,2,5,4,7,6,1,3]=>[1,2,2,1,2]=>11010110=>5 [1,7,8,3,4,5,2,6]=>[8,2,1,6,5,4,7,3]=>[1,1,2,1,2,1]=>11101101=>4 [1,8,4,5,6,2,3,7]=>[8,1,5,4,3,7,6,2]=>[1,2,1,2,1,1]=>11011011=>4 [8,2,5,6,3,4,1,7]=>[1,7,4,3,6,5,8,2]=>[2,1,2,2,1]=>10110101=>6 [5,8,2,7,3,4,1,6]=>[4,1,7,2,6,5,8,3]=>[1,2,2,2,1]=>11010101=>6 [6,8,7,2,3,4,1,5]=>[3,1,2,7,6,5,8,4]=>[1,3,1,2,1]=>11001101=>4 [3,8,7,5,2,6,1,4]=>[6,1,2,4,7,3,8,5]=>[1,4,2,1]=>11000101=>4 [8,2,3,6,4,5,1,7]=>[1,7,6,3,5,4,8,2]=>[2,1,2,2,1]=>10110101=>6 [8,2,4,6,3,5,1,7]=>[1,7,5,3,6,4,8,2]=>[2,1,2,2,1]=>10110101=>6 [3,4,2,7,8,5,1,6]=>[6,5,7,2,1,4,8,3]=>[1,2,1,3,1]=>11011001=>4 [4,8,7,3,2,5,1,6]=>[5,1,2,6,7,4,8,3]=>[1,4,2,1]=>11000101=>4 [5,8,4,2,6,7,3,1]=>[4,1,5,7,3,2,6,8]=>[1,3,1,3]=>11001100=>3 [5,3,8,1,6,7,4,2]=>[4,6,1,8,3,2,5,7]=>[2,2,1,3]=>10101100=>5 [5,2,8,1,6,4,7,3]=>[4,7,1,8,3,5,2,6]=>[2,2,2,2]=>10101010=>7 [5,8,2,1,3,7,6,4]=>[4,1,7,8,6,2,3,5]=>[1,3,1,3]=>11001100=>3 [8,3,4,1,2,6,5,7]=>[1,6,5,8,7,3,4,2]=>[2,2,1,2,1]=>10101101=>6 [1,4,3,2,8,5,7,6]=>[8,5,6,7,1,4,2,3]=>[1,3,2,2]=>11001010=>5 [5,1,8,2,6,4,7,3]=>[4,8,1,7,3,5,2,6]=>[2,2,2,2]=>10101010=>7 [5,1,8,3,6,7,4,2]=>[4,8,1,6,3,2,5,7]=>[2,2,1,3]=>10101100=>5 [5,2,8,3,6,7,4,1]=>[4,7,1,6,3,2,5,8]=>[2,2,1,3]=>10101100=>5 [3,1,8,4,6,2,7,5]=>[6,8,1,5,3,7,2,4]=>[2,2,2,2]=>10101010=>7 [8,4,1,6,5,2,3,7]=>[1,5,8,3,4,7,6,2]=>[3,3,1,1]=>10010011=>4 [1,8,7,6,4,3,5,2]=>[8,1,2,3,5,6,4,7]=>[1,5,2]=>11000010=>3 [3,1,4,7,5,8,2,6]=>[6,8,5,2,4,1,7,3]=>[2,1,2,2,1]=>10110101=>6 [3,1,7,5,6,8,4,2]=>[6,8,2,4,3,1,5,7]=>[2,2,1,3]=>10101100=>5 [6,1,8,7,5,3,4,2]=>[3,8,1,2,4,6,5,7]=>[2,4,2]=>10100010=>5 [6,1,8,7,5,4,2,3]=>[3,8,1,2,4,5,7,6]=>[2,5,1]=>10100001=>4 [8,3,5,6,1,4,2,7]=>[1,6,4,3,8,5,7,2]=>[2,1,2,2,1]=>10110101=>6 [6,8,7,3,2,4,1,5]=>[3,1,2,6,7,5,8,4]=>[1,4,2,1]=>11000101=>4 [2,3,7,5,6,8,4,1]=>[7,6,2,4,3,1,5,8]=>[1,1,2,1,3]=>11101100=>3 [3,2,4,7,5,8,1,6]=>[6,7,5,2,4,1,8,3]=>[2,1,2,2,1]=>10110101=>6 [2,8,7,6,5,3,1,4]=>[7,1,2,3,4,6,8,5]=>[1,6,1]=>11000001=>2 [2,8,7,6,4,5,1,3]=>[7,1,2,3,5,4,8,6]=>[1,4,2,1]=>11000101=>4 [3,8,7,6,4,1,5,2]=>[6,1,2,3,5,8,4,7]=>[1,5,2]=>11000010=>3 [3,8,7,6,4,2,5,1]=>[6,1,2,3,5,7,4,8]=>[1,5,2]=>11000010=>3 [1,3,4,7,5,2,8,6]=>[8,6,5,2,4,7,1,3]=>[1,1,1,3,2]=>11110010=>3 [2,3,7,4,6,8,1,5]=>[7,6,2,5,3,1,8,4]=>[1,1,2,1,2,1]=>11101101=>4 [4,8,7,6,2,5,1,3]=>[5,1,2,3,7,4,8,6]=>[1,4,2,1]=>11000101=>4 [4,8,7,6,3,1,5,2]=>[5,1,2,3,6,8,4,7]=>[1,5,2]=>11000010=>3 [3,5,2,4,7,6,8,1]=>[6,4,7,5,2,3,1,8]=>[1,2,1,2,2]=>11011010=>5 [5,3,2,6,4,7,8,1]=>[4,6,7,3,5,2,1,8]=>[3,2,1,2]=>10010110=>5 [5,3,2,6,7,4,8,1]=>[4,6,7,3,2,5,1,8]=>[3,1,2,2]=>10011010=>5 [5,3,2,7,6,4,8,1]=>[4,6,7,2,3,5,1,8]=>[3,3,2]=>10010010=>5 [7,3,5,2,8,4,6,1]=>[2,6,4,7,1,5,3,8]=>[2,2,2,2]=>10101010=>7 [3,5,2,7,4,6,8,1]=>[6,4,7,2,5,3,1,8]=>[1,2,2,1,2]=>11010110=>5 [3,2,5,7,4,6,8,1]=>[6,7,4,2,5,3,1,8]=>[2,1,2,1,2]=>10110110=>5 [3,2,7,5,4,8,6,1]=>[6,7,2,4,5,1,3,8]=>[2,3,3]=>10100100=>5 [3,7,5,2,4,8,6,1]=>[6,2,4,7,5,1,3,8]=>[1,3,1,3]=>11001100=>3 [8,3,5,1,6,4,7,2]=>[1,6,4,8,3,5,2,7]=>[2,2,2,2]=>10101010=>7 [8,4,5,6,1,3,7,2]=>[1,5,4,3,8,6,2,7]=>[2,1,2,1,2]=>10110110=>5 [3,4,7,6,8,2,5,1]=>[6,5,2,3,1,7,4,8]=>[1,1,2,2,2]=>11101010=>5 [3,8,5,2,1,4,6,7]=>[6,1,4,7,8,5,3,2]=>[1,4,1,1,1]=>11000111=>2 [7,6,4,1,8,2,5,3]=>[2,3,5,8,1,7,4,6]=>[4,2,2]=>10001010=>5 [8,1,6,7,3,4,2,5]=>[1,8,3,2,6,5,7,4]=>[2,1,2,2,1]=>10110101=>6 [8,2,1,6,7,4,3,5]=>[1,7,8,3,2,5,6,4]=>[3,1,3,1]=>10011001=>4 [7,6,8,1,2,5,4,3]=>[2,3,1,8,7,4,5,6]=>[2,2,1,3]=>10101100=>5 [2,1,3,4,8,5,7,6]=>[7,8,6,5,1,4,2,3]=>[2,1,1,2,2]=>10111010=>5 [5,7,1,2,6,8,3,4]=>[4,2,8,7,3,1,6,5]=>[1,2,1,1,2,1]=>11011101=>4 [1,5,2,3,6,8,7,4]=>[8,4,7,6,3,1,2,5]=>[1,2,1,1,3]=>11011100=>3 [3,7,4,5,2,8,1,6]=>[6,2,5,4,7,1,8,3]=>[1,2,2,2,1]=>11010101=>6 [2,7,4,3,1,8,5,6]=>[7,2,5,6,8,1,4,3]=>[1,4,2,1]=>11000101=>4 [3,5,7,4,1,8,2,6]=>[6,4,2,5,8,1,7,3]=>[1,1,3,2,1]=>11100101=>4 [2,5,4,6,8,3,1,7]=>[7,4,5,3,1,6,8,2]=>[1,2,1,3,1]=>11011001=>4 [8,3,6,4,1,2,5,7]=>[1,6,3,5,8,7,4,2]=>[2,3,1,1,1]=>10100111=>4 [7,4,6,5,8,2,1,3]=>[2,5,3,4,1,7,8,6]=>[2,2,3,1]=>10101001=>6 [8,6,4,7,5,1,2,3]=>[1,3,5,2,4,8,7,6]=>[3,3,1,1]=>10010011=>4 [1,6,2,5,8,7,4,3]=>[8,3,7,4,1,2,5,6]=>[1,2,1,4]=>11011000=>3 [3,7,4,5,6,2,8,1]=>[6,2,5,4,3,7,1,8]=>[1,2,1,2,2]=>11011010=>5 [8,4,3,1,6,5,2,7]=>[1,5,6,8,3,4,7,2]=>[4,3,1]=>10001001=>4 [2,3,8,5,6,4,1,7]=>[7,6,1,4,3,5,8,2]=>[1,1,2,3,1]=>11101001=>4 [2,7,4,8,6,1,3,5]=>[7,2,5,1,3,8,6,4]=>[1,2,3,1,1]=>11010011=>4 [2,8,4,3,1,6,5,7]=>[7,1,5,6,8,3,4,2]=>[1,4,2,1]=>11000101=>4 [6,4,8,2,3,1,5,7]=>[3,5,1,7,6,8,4,2]=>[2,2,2,1,1]=>10101011=>6 [3,8,4,6,1,5,2,7]=>[6,1,5,3,8,4,7,2]=>[1,2,2,2,1]=>11010101=>6 [4,5,1,8,2,6,3,7]=>[5,4,8,1,7,3,6,2]=>[1,2,2,2,1]=>11010101=>6 [6,1,8,4,3,2,7,5]=>[3,8,1,5,6,7,2,4]=>[2,4,2]=>10100010=>5 [8,1,5,6,3,4,7,2]=>[1,8,4,3,6,5,2,7]=>[2,1,2,1,2]=>10110110=>5 [2,8,5,7,6,3,1,4]=>[7,1,4,2,3,6,8,5]=>[1,2,4,1]=>11010001=>4 [8,5,3,1,7,6,4,2]=>[1,4,6,8,2,3,5,7]=>[4,4]=>10001000=>3 [8,3,5,6,1,4,7,2]=>[1,6,4,3,8,5,2,7]=>[2,1,2,1,2]=>10110110=>5 [4,5,8,3,6,2,7,1]=>[5,4,1,6,3,7,2,8]=>[1,1,2,2,2]=>11101010=>5 [7,2,1,6,5,3,8,4]=>[2,7,8,3,4,6,1,5]=>[3,3,2]=>10010010=>5 [5,6,4,1,7,8,2,3]=>[4,3,5,8,2,1,7,6]=>[1,3,1,2,1]=>11001101=>4 [5,1,6,4,8,7,3,2]=>[4,8,3,5,1,2,6,7]=>[2,2,4]=>10101000=>5 [2,4,6,7,5,1,8,3]=>[7,5,3,2,4,8,1,6]=>[1,1,1,3,2]=>11110010=>3 [8,7,6,1,5,4,3,2,9]=>[2,3,4,9,5,6,7,8,1]=>[4,4,1]=>100010001=>4 [7,6,4,1,5,3,2,8]=>[2,3,5,8,4,6,7,1]=>[4,3,1]=>10001001=>4 [6,8,7,4,1,5,3,2]=>[3,1,2,5,8,4,6,7]=>[1,4,3]=>11000100=>3 [8,7,6,4,1,5,3,2,9]=>[2,3,4,6,9,5,7,8,1]=>[5,3,1]=>100001001=>4 [6,8,7,3,5,4,2,1]=>[3,1,2,6,4,5,7,8]=>[1,3,4]=>11001000=>3 [3,1,2,8,5,7,4,6]=>[6,8,7,1,4,2,5,3]=>[2,1,2,2,1]=>10110101=>6 [8,3,5,7,2,1,4,6]=>[1,6,4,2,7,8,5,3]=>[2,1,3,1,1]=>10110011=>4 [2,1,3,8,5,7,4,6]=>[7,8,6,1,4,2,5,3]=>[2,1,2,2,1]=>10110101=>6 [7,3,1,2,8,4,5,6]=>[2,6,8,7,1,5,4,3]=>[3,1,2,1,1]=>10011011=>4 [2,1,4,7,6,3,5,8]=>[7,8,5,2,3,6,4,1]=>[2,1,3,1,1]=>10110011=>4 [7,2,4,5,3,8,1,6]=>[2,7,5,4,6,1,8,3]=>[2,1,2,2,1]=>10110101=>6 [5,4,1,6,3,7,8,2]=>[4,5,8,3,6,2,1,7]=>[3,2,1,2]=>10010110=>5 [4,5,1,3,6,7,8,2]=>[5,4,8,6,3,2,1,7]=>[1,2,1,1,1,2]=>11011110=>3 [5,1,7,6,3,4,8,2]=>[4,8,2,3,6,5,1,7]=>[2,3,1,2]=>10100110=>5 [6,1,7,5,4,8,2,3]=>[3,8,2,4,5,1,7,6]=>[2,3,2,1]=>10100101=>6 [3,7,2,1,6,8,4,5]=>[6,2,7,8,3,1,5,4]=>[1,3,1,2,1]=>11001101=>4 [1,5,8,2,4,7,6,3]=>[8,4,1,7,5,2,3,6]=>[1,1,2,1,3]=>11101100=>3 [5,8,1,6,4,7,3,2]=>[4,1,8,3,5,2,6,7]=>[1,2,2,3]=>11010100=>5 [3,8,6,5,7,2,4,1]=>[6,1,3,4,2,7,5,8]=>[1,3,2,2]=>11001010=>5 [6,8,1,4,7,3,5,2]=>[3,1,8,5,2,6,4,7]=>[1,2,1,2,2]=>11011010=>5 [1,6,8,2,7,4,5,3]=>[8,3,1,7,2,5,4,6]=>[1,1,2,2,2]=>11101010=>5 [5,7,2,1,8,4,3,6]=>[4,2,7,8,1,5,6,3]=>[1,3,3,1]=>11001001=>4 [5,7,1,6,8,3,2,4]=>[4,2,8,3,1,6,7,5]=>[1,2,1,3,1]=>11011001=>4 [5,6,2,1,8,3,4,7]=>[4,3,7,8,1,6,5,2]=>[1,3,2,1,1]=>11001011=>4 [6,4,1,7,3,8,2,5]=>[3,5,8,2,6,1,7,4]=>[3,2,2,1]=>10010101=>6 [8,2,5,6,7,1,4,3]=>[1,7,4,3,2,8,5,6]=>[2,1,1,2,2]=>10111010=>5 [7,2,4,6,8,3,1,5]=>[2,7,5,3,1,6,8,4]=>[2,1,1,3,1]=>10111001=>4 [6,2,4,7,8,1,3,5]=>[3,7,5,2,1,8,6,4]=>[2,1,1,2,1,1]=>10111011=>4 [6,1,4,3,2,8,5,7]=>[3,8,5,6,7,1,4,2]=>[2,3,2,1]=>10100101=>6 [2,4,8,6,5,7,3,1]=>[7,5,1,3,4,2,6,8]=>[1,1,3,3]=>11100100=>3 [6,2,8,4,7,5,1,3]=>[3,7,1,5,2,4,8,6]=>[2,2,3,1]=>10101001=>6 [4,5,7,3,6,8,1,2]=>[5,4,2,6,3,1,8,7]=>[1,1,2,1,2,1]=>11101101=>4 [3,4,7,8,6,5,1,2]=>[6,5,2,1,3,4,8,7]=>[1,1,1,4,1]=>11110001=>2 [1,4,7,2,6,8,5,3]=>[8,5,2,7,3,1,4,6]=>[1,1,2,1,3]=>11101100=>3 [2,3,7,6,5,1,4,8]=>[7,6,2,3,4,8,5,1]=>[1,1,4,1,1]=>11100011=>2 [3,2,7,6,4,1,5,8]=>[6,7,2,3,5,8,4,1]=>[2,4,1,1]=>10100011=>4 [7,8,1,2,5,6,4,3]=>[2,1,8,7,4,3,5,6]=>[1,2,1,1,3]=>11011100=>3 [7,1,3,6,8,5,2,4]=>[2,8,6,3,1,4,7,5]=>[2,1,1,3,1]=>10111001=>4 [4,2,8,5,1,6,3,7]=>[5,7,1,4,8,3,6,2]=>[2,3,2,1]=>10100101=>6 [6,5,8,1,4,2,3,7]=>[3,4,1,8,5,7,6,2]=>[2,2,2,1,1]=>10101011=>6 [3,8,2,4,5,1,6,7]=>[6,1,7,5,4,8,3,2]=>[1,2,1,2,1,1]=>11011011=>4 [3,6,2,4,1,5,7,8]=>[6,3,7,5,8,4,2,1]=>[1,2,2,1,1,1]=>11010111=>4 [2,3,8,4,1,6,5,7]=>[7,6,1,5,8,3,4,2]=>[1,1,3,2,1]=>11100101=>4 [4,5,7,3,1,6,2,8]=>[5,4,2,6,8,3,7,1]=>[1,1,3,2,1]=>11100101=>4 [2,3,1,4,8,5,7,6]=>[7,6,8,5,1,4,2,3]=>[1,2,1,2,2]=>11011010=>5 [4,2,6,1,5,8,7,3]=>[5,7,3,8,4,1,2,6]=>[2,2,1,3]=>10101100=>5 [3,1,8,5,7,6,4,2]=>[6,8,1,4,2,3,5,7]=>[2,2,4]=>10101000=>5 [5,1,8,7,4,6,3,2]=>[4,8,1,2,5,3,6,7]=>[2,3,3]=>10100100=>5 [3,8,6,2,5,1,4,7]=>[6,1,3,7,4,8,5,2]=>[1,3,2,1,1]=>11001011=>4 [6,8,7,2,5,1,4,3]=>[3,1,2,7,4,8,5,6]=>[1,3,2,2]=>11001010=>5 [5,7,2,8,6,1,4,3]=>[4,2,7,1,3,8,5,6]=>[1,2,3,2]=>11010010=>5 [6,4,8,7,5,1,3,2]=>[3,5,1,2,4,8,6,7]=>[2,4,2]=>10100010=>5 [6,2,8,7,4,1,3,5]=>[3,7,1,2,5,8,6,4]=>[2,4,1,1]=>10100011=>4 [6,2,5,8,7,1,4,3]=>[3,7,4,1,2,8,5,6]=>[2,1,3,2]=>10110010=>5 [2,4,8,6,5,1,3,7]=>[7,5,1,3,4,8,6,2]=>[1,1,4,1,1]=>11100011=>2 [2,4,8,7,5,1,3,6]=>[7,5,1,2,4,8,6,3]=>[1,1,4,1,1]=>11100011=>2 [3,5,7,6,1,8,4,2]=>[6,4,2,3,8,1,5,7]=>[1,1,3,3]=>11100100=>3 [3,5,7,6,2,8,4,1]=>[6,4,2,3,7,1,5,8]=>[1,1,3,3]=>11100100=>3 [2,5,7,6,1,8,3,4]=>[7,4,2,3,8,1,6,5]=>[1,1,3,2,1]=>11100101=>4 [5,1,4,7,3,8,6,2]=>[4,8,5,2,6,1,3,7]=>[2,1,2,3]=>10110100=>5 [1,3,8,7,2,5,4,6]=>[8,6,1,2,7,4,5,3]=>[1,1,3,2,1]=>11100101=>4 [1,5,6,2,8,7,4,3]=>[8,4,3,7,1,2,5,6]=>[1,1,2,4]=>11101000=>3 [2,5,3,8,7,6,4,1]=>[7,4,6,1,2,3,5,8]=>[1,2,5]=>11010000=>3 [1,5,3,2,8,7,6,4]=>[8,4,6,7,1,2,3,5]=>[1,3,4]=>11001000=>3 [6,1,4,3,8,7,5,2]=>[3,8,5,6,1,2,4,7]=>[2,2,4]=>10101000=>5 [6,2,4,1,8,7,5,3]=>[3,7,5,8,1,2,4,6]=>[2,2,4]=>10101000=>5 [3,4,1,8,7,5,2,6]=>[6,5,8,1,2,4,7,3]=>[1,2,4,1]=>11010001=>4 [4,5,2,8,7,6,3,1]=>[5,4,7,1,2,3,6,8]=>[1,2,5]=>11010000=>3 [6,4,1,8,7,5,2,3]=>[3,5,8,1,2,4,7,6]=>[3,4,1]=>10010001=>4 [6,3,1,8,7,4,2,5]=>[3,6,8,1,2,5,7,4]=>[3,4,1]=>10010001=>4 [4,2,5,1,8,6,3,7]=>[5,7,4,8,1,3,6,2]=>[2,2,3,1]=>10101001=>6 [3,6,2,8,1,7,4,5]=>[6,3,7,1,8,2,5,4]=>[1,2,2,2,1]=>11010101=>6 [4,2,8,5,1,7,3,6]=>[5,7,1,4,8,2,6,3]=>[2,3,2,1]=>10100101=>6 [5,3,6,2,8,7,4,1]=>[4,6,3,7,1,2,5,8]=>[2,2,4]=>10101000=>5 [6,3,5,2,1,8,7,4]=>[3,6,4,7,8,1,2,5]=>[2,3,3]=>10100100=>5 [6,2,5,1,4,8,7,3]=>[3,7,4,8,5,1,2,6]=>[2,2,1,3]=>10101100=>5 [2,8,4,1,3,7,6,5]=>[7,1,5,8,6,2,3,4]=>[1,3,1,3]=>11001100=>3 [4,8,7,1,3,6,5,2]=>[5,1,2,8,6,3,4,7]=>[1,3,1,3]=>11001100=>3 [3,8,1,4,7,6,5,2]=>[6,1,8,5,2,3,4,7]=>[1,2,1,4]=>11011000=>3 [4,2,7,3,8,6,5,1]=>[5,7,2,6,1,3,4,8]=>[2,2,4]=>10101000=>5 [3,1,8,6,2,5,4,7]=>[6,8,1,3,7,4,5,2]=>[2,3,2,1]=>10100101=>6 [2,7,1,8,3,6,5,4]=>[7,2,8,1,6,3,4,5]=>[1,2,2,3]=>11010100=>5 [5,2,1,7,4,8,6,3]=>[4,7,8,2,5,1,3,6]=>[3,2,3]=>10010100=>5 [5,1,2,8,6,4,3,7]=>[4,8,7,1,3,5,6,2]=>[2,1,4,1]=>10110001=>4 [6,2,3,8,7,5,4,1]=>[3,7,6,1,2,4,5,8]=>[2,1,5]=>10110000=>3 [5,2,3,8,7,6,4,1]=>[4,7,6,1,2,3,5,8]=>[2,1,5]=>10110000=>3 [2,8,1,3,7,6,4,5]=>[7,1,8,6,2,3,5,4]=>[1,2,1,3,1]=>11011001=>4 [4,1,3,5,8,7,6,2]=>[5,8,6,4,1,2,3,7]=>[2,1,1,4]=>10111000=>3 [2,7,8,3,4,1,5,6]=>[7,2,1,6,5,8,4,3]=>[1,1,2,2,1,1]=>11101011=>4 [2,8,6,7,5,4,3,1]=>[7,1,3,2,4,5,6,8]=>[1,2,5]=>11010000=>3 [7,2,6,8,1,4,3,5]=>[2,7,3,1,8,5,6,4]=>[2,1,2,2,1]=>10110101=>6 [5,3,6,2,8,4,7,1]=>[4,6,3,7,1,5,2,8]=>[2,2,2,2]=>10101010=>7 [8,1,6,3,7,4,5,2]=>[1,8,3,6,2,5,4,7]=>[2,2,2,2]=>10101010=>7 [2,4,3,7,1,8,6,5]=>[7,5,6,2,8,1,3,4]=>[1,2,2,3]=>11010100=>5 [6,8,2,7,4,1,5,3]=>[3,1,7,2,5,8,4,6]=>[1,2,3,2]=>11010010=>5 [6,1,7,8,5,3,2,4]=>[3,8,2,1,4,6,7,5]=>[2,1,4,1]=>10110001=>4 [2,6,5,4,7,1,8,3]=>[7,3,4,5,2,8,1,6]=>[1,3,2,2]=>11001010=>5 [5,8,3,4,6,1,7,2]=>[4,1,6,5,3,8,2,7]=>[1,2,1,2,2]=>11011010=>5 [6,8,7,1,5,4,2,3]=>[3,1,2,8,4,5,7,6]=>[1,3,3,1]=>11001001=>4 [4,8,3,1,5,7,6,2]=>[5,1,6,8,4,2,3,7]=>[1,3,1,3]=>11001100=>3 [5,3,8,2,7,1,6,4]=>[4,6,1,7,2,8,3,5]=>[2,2,2,2]=>10101010=>7 [8,2,7,1,6,5,3,4]=>[1,7,2,8,3,4,6,5]=>[2,2,3,1]=>10101001=>6 [5,3,4,8,2,7,1,6]=>[4,6,5,1,7,2,8,3]=>[2,1,2,2,1]=>10110101=>6 [8,3,4,5,2,7,1,6]=>[1,6,5,4,7,2,8,3]=>[2,1,2,2,1]=>10110101=>6 [6,3,4,7,1,5,2,8]=>[3,6,5,2,8,4,7,1]=>[2,1,2,2,1]=>10110101=>6 [6,7,1,5,3,4,8,2]=>[3,2,8,4,6,5,1,7]=>[1,2,2,1,2]=>11010110=>5 [6,5,3,4,7,1,8,2]=>[3,4,6,5,2,8,1,7]=>[3,1,2,2]=>10011010=>5 [5,3,4,7,1,6,8,2]=>[4,6,5,2,8,3,1,7]=>[2,1,2,1,2]=>10110110=>5 [8,2,6,7,1,5,3,4]=>[1,7,3,2,8,4,6,5]=>[2,1,2,2,1]=>10110101=>6 [8,3,4,7,1,5,2,6]=>[1,6,5,2,8,4,7,3]=>[2,1,2,2,1]=>10110101=>6 [7,1,5,2,6,3,4,8]=>[2,8,4,7,3,6,5,1]=>[2,2,2,1,1]=>10101011=>6 [3,7,1,5,2,6,8,4]=>[6,2,8,4,7,3,1,5]=>[1,2,2,1,2]=>11010110=>5 [8,3,4,6,7,1,5,2]=>[1,6,5,3,2,8,4,7]=>[2,1,1,2,2]=>10111010=>5 [7,1,6,8,3,4,5,2]=>[2,8,3,1,6,5,4,7]=>[2,1,2,1,2]=>10110110=>5 [6,7,1,8,3,4,5,2]=>[3,2,8,1,6,5,4,7]=>[1,2,2,1,2]=>11010110=>5 [8,7,1,6,3,4,5,2]=>[1,2,8,3,6,5,4,7]=>[3,2,1,2]=>10010110=>5 [6,3,4,8,7,1,5,2]=>[3,6,5,1,2,8,4,7]=>[2,1,3,2]=>10110010=>5 [3,4,8,7,1,5,2,6]=>[6,5,1,2,8,4,7,3]=>[1,1,3,2,1]=>11100101=>4 [3,8,4,6,7,1,5,2]=>[6,1,5,3,2,8,4,7]=>[1,2,1,2,2]=>11011010=>5 [3,8,5,2,6,7,1,4]=>[6,1,4,7,3,2,8,5]=>[1,3,1,2,1]=>11001101=>4 [3,7,1,4,8,5,2,6]=>[6,2,8,5,1,4,7,3]=>[1,2,1,3,1]=>11011001=>4 [3,6,5,2,7,1,4,8]=>[6,3,4,7,2,8,5,1]=>[1,3,2,1,1]=>11001011=>4 [6,8,3,4,7,1,5,2]=>[3,1,6,5,2,8,4,7]=>[1,2,1,2,2]=>11011010=>5 [3,6,4,7,1,5,2,8]=>[6,3,5,2,8,4,7,1]=>[1,2,2,2,1]=>11010101=>6 [3,7,1,6,4,5,2,8]=>[6,2,8,3,5,4,7,1]=>[1,2,2,2,1]=>11010101=>6 [3,8,4,5,2,7,1,6]=>[6,1,5,4,7,2,8,3]=>[1,2,2,2,1]=>11010101=>6 [3,7,1,6,5,2,8,4]=>[6,2,8,3,4,7,1,5]=>[1,2,3,2]=>11010010=>5 [7,1,6,5,2,8,3,4]=>[2,8,3,4,7,1,6,5]=>[2,3,2,1]=>10100101=>6 [8,3,5,2,7,1,6,4]=>[1,6,4,7,2,8,3,5]=>[2,2,2,2]=>10101010=>7 [3,4,8,5,2,7,1,6]=>[6,5,1,4,7,2,8,3]=>[1,1,3,2,1]=>11100101=>4 [3,4,7,1,6,5,2,8]=>[6,5,2,8,3,4,7,1]=>[1,1,2,3,1]=>11101001=>4 [7,1,5,2,8,6,3,4]=>[2,8,4,7,1,3,6,5]=>[2,2,3,1]=>10101001=>6 [8,6,3,4,7,1,5,2]=>[1,3,6,5,2,8,4,7]=>[3,1,2,2]=>10011010=>5 [3,7,1,6,4,8,5,2]=>[6,2,8,3,5,1,4,7]=>[1,2,2,3]=>11010100=>5 [3,8,6,4,7,1,5,2]=>[6,1,3,5,2,8,4,7]=>[1,3,2,2]=>11001010=>5 [3,7,1,4,8,6,5,2]=>[6,2,8,5,1,3,4,7]=>[1,2,1,4]=>11011000=>3 [3,7,1,4,5,2,8,6]=>[6,2,8,5,4,7,1,3]=>[1,2,1,2,2]=>11011010=>5 [3,6,7,1,4,5,2,8]=>[6,3,2,8,5,4,7,1]=>[1,1,2,1,2,1]=>11101101=>4 [3,5,2,6,7,1,4,8]=>[6,4,7,3,2,8,5,1]=>[1,2,1,2,1,1]=>11011011=>4 [3,5,2,8,6,7,1,4]=>[6,4,7,1,3,2,8,5]=>[1,2,2,2,1]=>11010101=>6 [3,6,8,7,1,4,5,2]=>[6,3,1,2,8,5,4,7]=>[1,1,3,1,2]=>11100110=>3 [3,5,2,6,8,7,1,4]=>[6,4,7,3,1,2,8,5]=>[1,2,1,3,1]=>11011001=>4 [2,3,7,6,5,8,1,4]=>[7,6,2,3,4,1,8,5]=>[1,1,3,2,1]=>11100101=>4 [2,6,5,4,7,8,1,3]=>[7,3,4,5,2,1,8,6]=>[1,3,1,2,1]=>11001101=>4 [4,3,5,6,7,8,9,1,2]=>[6,7,5,4,3,2,1,9,8]=>[2,1,1,1,1,2,1]=>101111101=>4 [6,7,8,5,4,3,2,1,9]=>[4,3,2,5,6,7,8,9,1]=>[1,1,6,1]=>111000001=>2 [7,8,9,5,4,3,2,1,6]=>[3,2,1,5,6,7,8,9,4]=>[1,1,6,1]=>111000001=>2 [6,7,8,9,4,3,2,1,5]=>[4,3,2,1,6,7,8,9,5]=>[1,1,1,5,1]=>111100001=>2 [3,5,7,6,8,2,1,4]=>[6,4,2,3,1,7,8,5]=>[1,1,2,3,1]=>11101001=>4 [4,2,5,3,7,6,1,8]=>[5,7,4,6,2,3,8,1]=>[2,2,3,1]=>10101001=>6 [8,2,5,3,6,4,1,7]=>[1,7,4,6,3,5,8,2]=>[2,2,3,1]=>10101001=>6 [7,2,5,3,6,4,1,8]=>[2,7,4,6,3,5,8,1]=>[2,2,3,1]=>10101001=>6 [6,2,5,3,7,4,1,8]=>[3,7,4,6,2,5,8,1]=>[2,2,3,1]=>10101001=>6 [4,2,6,3,7,5,1,8]=>[5,7,3,6,2,4,8,1]=>[2,2,3,1]=>10101001=>6 [5,2,7,3,6,4,1,8]=>[4,7,2,6,3,5,8,1]=>[2,2,3,1]=>10101001=>6 [7,3,6,2,5,4,1,8]=>[2,6,3,7,4,5,8,1]=>[2,2,3,1]=>10101001=>6 [7,3,1,4,6,5,2,8]=>[2,6,8,5,3,4,7,1]=>[3,1,3,1]=>10011001=>4 [8,3,7,2,5,4,1,6]=>[1,6,2,7,4,5,8,3]=>[2,2,3,1]=>10101001=>6 [5,2,8,3,6,4,1,7]=>[4,7,1,6,3,5,8,2]=>[2,2,3,1]=>10101001=>6 [3,2,8,4,6,5,1,7]=>[6,7,1,5,3,4,8,2]=>[2,2,3,1]=>10101001=>6 [1,4,7,3,6,5,2,8]=>[8,5,2,6,3,4,7,1]=>[1,1,2,3,1]=>11101001=>4 [8,2,5,4,1,6,3,7]=>[1,7,4,5,8,3,6,2]=>[2,3,2,1]=>10100101=>6 [8,2,6,4,1,5,3,7]=>[1,7,3,5,8,4,6,2]=>[2,3,2,1]=>10100101=>6 [1,4,8,3,7,5,2,6]=>[8,5,1,6,2,4,7,3]=>[1,1,2,3,1]=>11101001=>4 [6,2,1,4,8,5,3,7]=>[3,7,8,5,1,4,6,2]=>[3,1,3,1]=>10011001=>4 [5,2,1,4,8,6,3,7]=>[4,7,8,5,1,3,6,2]=>[3,1,3,1]=>10011001=>4 [3,2,1,5,8,6,4,7]=>[6,7,8,4,1,3,5,2]=>[3,1,3,1]=>10011001=>4 [4,2,8,3,7,5,1,6]=>[5,7,1,6,2,4,8,3]=>[2,2,3,1]=>10101001=>6 [5,2,8,3,7,4,1,6]=>[4,7,1,6,2,5,8,3]=>[2,2,3,1]=>10101001=>6 [7,3,1,4,8,5,2,6]=>[2,6,8,5,1,4,7,3]=>[3,1,3,1]=>10011001=>4 [7,2,6,3,8,4,1,5]=>[2,7,3,6,1,5,8,4]=>[2,2,3,1]=>10101001=>6 [5,2,7,3,8,4,1,6]=>[4,7,2,6,1,5,8,3]=>[2,2,3,1]=>10101001=>6 [3,2,7,4,8,5,1,6]=>[6,7,2,5,1,4,8,3]=>[2,2,3,1]=>10101001=>6 [6,2,5,3,8,4,1,7]=>[3,7,4,6,1,5,8,2]=>[2,2,3,1]=>10101001=>6 [7,2,5,3,8,4,1,6]=>[2,7,4,6,1,5,8,3]=>[2,2,3,1]=>10101001=>6 [8,2,5,3,7,4,1,6]=>[1,7,4,6,2,5,8,3]=>[2,2,3,1]=>10101001=>6 [7,2,4,3,8,5,1,6]=>[2,7,5,6,1,4,8,3]=>[2,2,3,1]=>10101001=>6 [6,2,4,3,8,5,1,7]=>[3,7,5,6,1,4,8,2]=>[2,2,3,1]=>10101001=>6 [5,2,4,3,8,6,1,7]=>[4,7,5,6,1,3,8,2]=>[2,2,3,1]=>10101001=>6 [4,2,5,3,8,6,1,7]=>[5,7,4,6,1,3,8,2]=>[2,2,3,1]=>10101001=>6 [4,2,5,3,1,7,6,8]=>[5,7,4,6,8,2,3,1]=>[2,3,2,1]=>10100101=>6 [6,2,4,3,1,7,5,8]=>[3,7,5,6,8,2,4,1]=>[2,3,2,1]=>10100101=>6 [7,2,4,3,1,6,5,8]=>[2,7,5,6,8,3,4,1]=>[2,3,2,1]=>10100101=>6 [8,5,1,3,6,4,2,7]=>[1,4,8,6,3,5,7,2]=>[3,1,3,1]=>10011001=>4 [8,4,1,3,6,5,2,7]=>[1,5,8,6,3,4,7,2]=>[3,1,3,1]=>10011001=>4 [1,5,2,4,7,6,3,8]=>[8,4,7,5,2,3,6,1]=>[1,2,1,3,1]=>11011001=>4 [7,2,5,3,1,6,4,8]=>[2,7,4,6,8,3,5,1]=>[2,3,2,1]=>10100101=>6 [6,2,5,3,1,7,4,8]=>[3,7,4,6,8,2,5,1]=>[2,3,2,1]=>10100101=>6 [4,2,6,3,1,7,5,8]=>[5,7,3,6,8,2,4,1]=>[2,3,2,1]=>10100101=>6 [3,2,6,4,1,7,5,8]=>[6,7,3,5,8,2,4,1]=>[2,3,2,1]=>10100101=>6 [4,2,7,3,1,6,5,8]=>[5,7,2,6,8,3,4,1]=>[2,3,2,1]=>10100101=>6 [5,2,7,3,1,6,4,8]=>[4,7,2,6,8,3,5,1]=>[2,3,2,1]=>10100101=>6 [6,2,7,3,1,5,4,8]=>[3,7,2,6,8,4,5,1]=>[2,3,2,1]=>10100101=>6 [1,5,2,4,8,6,3,7]=>[8,4,7,5,1,3,6,2]=>[1,2,1,3,1]=>11011001=>4 [8,4,1,3,7,5,2,6]=>[1,5,8,6,2,4,7,3]=>[3,1,3,1]=>10011001=>4 [6,2,1,5,3,7,4,8]=>[3,7,8,4,6,2,5,1]=>[3,2,2,1]=>10010101=>6 [3,2,1,6,4,7,5,8]=>[6,7,8,3,5,2,4,1]=>[3,2,2,1]=>10010101=>6 [3,2,8,5,1,6,4,7]=>[6,7,1,4,8,3,5,2]=>[2,3,2,1]=>10100101=>6 [6,2,8,4,1,5,3,7]=>[3,7,1,5,8,4,6,2]=>[2,3,2,1]=>10100101=>6 [8,3,7,4,1,5,2,6]=>[1,6,2,5,8,4,7,3]=>[2,3,2,1]=>10100101=>6 [7,1,3,2,5,6,4,8]=>[2,8,6,7,4,3,5,1]=>[2,2,1,2,1]=>10101101=>6 [4,2,8,7,5,6,1,3]=>[5,7,1,2,4,3,8,6]=>[2,3,2,1]=>10100101=>6 [2,8,1,7,4,5,6,3]=>[7,1,8,2,5,4,3,6]=>[1,2,2,1,2]=>11010110=>5 [6,3,5,2,4,8,1,7]=>[3,6,4,7,5,1,8,2]=>[2,2,1,2,1]=>10101101=>6 [1,5,2,8,7,4,3,6]=>[8,4,7,1,2,5,6,3]=>[1,2,4,1]=>11010001=>4 [5,7,1,2,6,4,3,8]=>[4,2,8,7,3,5,6,1]=>[1,2,1,3,1]=>11011001=>4 [1,8,2,5,7,4,3,6]=>[8,1,7,4,2,5,6,3]=>[1,2,1,3,1]=>11011001=>4 [1,6,4,3,2,5,8,7]=>[8,3,5,6,7,4,1,2]=>[1,4,1,2]=>11000110=>3 [2,5,6,7,1,4,3,8]=>[7,4,3,2,8,5,6,1]=>[1,1,1,2,2,1]=>11110101=>4 [5,7,2,8,1,4,3,6]=>[4,2,7,1,8,5,6,3]=>[1,2,2,2,1]=>11010101=>6 [5,8,2,7,1,4,3,6]=>[4,1,7,2,8,5,6,3]=>[1,2,2,2,1]=>11010101=>6 [7,5,1,2,6,4,3,8]=>[2,4,8,7,3,5,6,1]=>[3,1,3,1]=>10011001=>4 [5,2,1,6,8,4,3,7]=>[4,7,8,3,1,5,6,2]=>[3,1,3,1]=>10011001=>4 [6,2,8,5,1,4,3,7]=>[3,7,1,4,8,5,6,2]=>[2,3,2,1]=>10100101=>6 [7,8,1,6,3,2,4,5]=>[2,1,8,3,6,7,5,4]=>[1,2,3,1,1]=>11010011=>4 [7,3,6,4,1,2,8,5]=>[2,6,3,5,8,7,1,4]=>[2,3,1,2]=>10100110=>5 [2,3,7,8,4,1,5,6]=>[7,6,2,1,5,8,4,3]=>[1,1,1,3,1,1]=>11110011=>2 [5,4,7,2,3,8,1,6]=>[4,5,2,7,6,1,8,3]=>[2,2,1,2,1]=>10101101=>6 [4,8,3,1,5,2,7,6]=>[5,1,6,8,4,7,2,3]=>[1,3,2,2]=>11001010=>5 [2,3,5,8,7,6,1,4]=>[7,6,4,1,2,3,8,5]=>[1,1,1,4,1]=>11110001=>2 [7,3,5,1,4,6,2,8]=>[2,6,4,8,5,3,7,1]=>[2,2,1,2,1]=>10101101=>6 [3,8,5,1,2,6,4,7]=>[6,1,4,8,7,3,5,2]=>[1,3,1,2,1]=>11001101=>4 [5,2,1,8,6,4,3,7]=>[4,7,8,1,3,5,6,2]=>[3,4,1]=>10010001=>4 [1,2,6,5,8,4,3,7]=>[8,7,3,4,1,5,6,2]=>[1,1,2,3,1]=>11101001=>4 [5,1,7,2,6,4,3,8]=>[4,8,2,7,3,5,6,1]=>[2,2,3,1]=>10101001=>6 [7,1,5,3,2,6,8,4]=>[2,8,4,6,7,3,1,5]=>[2,3,1,2]=>10100110=>5 [3,1,5,7,8,6,2,4]=>[6,8,4,2,1,3,7,5]=>[2,1,1,3,1]=>10111001=>4 [1,8,7,2,6,4,3,5]=>[8,1,2,7,3,5,6,4]=>[1,3,3,1]=>11001001=>4 [8,7,6,5,3,2,1,4,9]=>[2,3,4,5,7,8,9,6,1]=>[7,1,1]=>100000011=>2 [8,7,6,4,3,2,1,5,9]=>[2,3,4,6,7,8,9,5,1]=>[7,1,1]=>100000011=>2 [8,7,5,4,3,2,1,6,9]=>[2,3,5,6,7,8,9,4,1]=>[7,1,1]=>100000011=>2 [8,7,6,5,4,1,2,3,9]=>[2,3,4,5,6,9,8,7,1]=>[6,1,1,1]=>100000111=>2 [6,7,5,4,3,2,1,8,9]=>[4,3,5,6,7,8,9,2,1]=>[1,6,1,1]=>110000011=>2 [8,6,2,3,1,5,7,4]=>[1,3,7,6,8,4,2,5]=>[3,2,1,2]=>10010110=>5 [7,3,5,2,1,4,8,6]=>[2,6,4,7,8,5,1,3]=>[2,3,1,2]=>10100110=>5 [2,6,3,8,7,4,5,1]=>[7,3,6,1,2,5,4,8]=>[1,2,3,2]=>11010010=>5 [1,7,3,6,8,5,2,4]=>[8,2,6,3,1,4,7,5]=>[1,2,1,3,1]=>11011001=>4 [1,8,5,2,4,7,3,6]=>[8,1,4,7,5,2,6,3]=>[1,3,1,2,1]=>11001101=>4 [2,5,1,7,4,8,6,3]=>[7,4,8,2,5,1,3,6]=>[1,2,2,3]=>11010100=>5 [8,6,7,3,5,2,1,4]=>[1,3,2,6,4,7,8,5]=>[2,2,3,1]=>10101001=>6 [1,4,2,7,3,6,8,5]=>[8,5,7,2,6,3,1,4]=>[1,2,2,1,2]=>11010110=>5 [3,2,1,7,8,5,4,6]=>[6,7,8,2,1,4,5,3]=>[3,1,3,1]=>10011001=>4 [7,3,4,2,1,5,8,6]=>[2,6,5,7,8,4,1,3]=>[2,3,1,2]=>10100110=>5 [1,4,7,5,3,8,6,2]=>[8,5,2,4,6,1,3,7]=>[1,1,3,3]=>11100100=>3 [8,6,7,4,1,5,2,3]=>[1,3,2,5,8,4,7,6]=>[2,3,2,1]=>10100101=>6 [1,7,6,3,2,4,8,5]=>[8,2,3,6,7,5,1,4]=>[1,4,1,2]=>11000110=>3 [2,7,8,6,4,1,5,3]=>[7,2,1,3,5,8,4,6]=>[1,1,4,2]=>11100010=>3 [2,1,6,4,7,8,5,3]=>[7,8,3,5,2,1,4,6]=>[2,2,1,3]=>10101100=>5 [1,6,3,2,4,7,8,5]=>[8,3,6,7,5,2,1,4]=>[1,3,1,1,2]=>11001110=>3 [1,8,5,3,2,4,7,6]=>[8,1,4,6,7,5,2,3]=>[1,4,1,2]=>11000110=>3 [6,7,8,2,5,1,4,3]=>[3,2,1,7,4,8,5,6]=>[1,1,2,2,2]=>11101010=>5 [7,4,8,6,2,3,5,1]=>[2,5,1,3,7,6,4,8]=>[2,3,1,2]=>10100110=>5 [6,2,5,7,8,1,4,3]=>[3,7,4,2,1,8,5,6]=>[2,1,1,2,2]=>10111010=>5 [2,4,5,8,6,1,3,7]=>[7,5,4,1,3,8,6,2]=>[1,1,1,3,1,1]=>11110011=>2 [4,7,8,1,5,6,2,3]=>[5,2,1,8,4,3,7,6]=>[1,1,2,1,2,1]=>11101101=>4 [3,6,7,1,8,4,2,5]=>[6,3,2,8,1,5,7,4]=>[1,1,2,3,1]=>11101001=>4 [2,3,7,5,1,6,4,8]=>[7,6,2,4,8,3,5,1]=>[1,1,3,2,1]=>11100101=>4 [2,6,3,5,1,8,4,7]=>[7,3,6,4,8,1,5,2]=>[1,2,2,2,1]=>11010101=>6 [7,2,4,6,1,8,5,3]=>[2,7,5,3,8,1,4,6]=>[2,1,2,3]=>10110100=>5 [1,3,7,6,2,4,5,8]=>[8,6,2,3,7,5,4,1]=>[1,1,3,1,1,1]=>11100111=>2 [1,6,7,2,8,3,5,4]=>[8,3,2,7,1,6,4,5]=>[1,1,2,2,2]=>11101010=>5 [2,7,3,8,4,5,6,1]=>[7,2,6,1,5,4,3,8]=>[1,2,2,1,2]=>11010110=>5 [1,4,2,7,5,3,6,8]=>[8,5,7,2,4,6,3,1]=>[1,2,3,1,1]=>11010011=>4 [1,3,8,2,7,4,5,6]=>[8,6,1,7,2,5,4,3]=>[1,1,2,2,1,1]=>11101011=>4 [7,1,4,3,8,5,6,2]=>[2,8,5,6,1,4,3,7]=>[2,2,2,2]=>10101010=>7 [3,4,1,8,5,7,2,6]=>[6,5,8,1,4,2,7,3]=>[1,2,2,2,1]=>11010101=>6 [3,4,1,5,8,6,2,7]=>[6,5,8,4,1,3,7,2]=>[1,2,1,3,1]=>11011001=>4 [5,6,2,7,8,3,4,1]=>[4,3,7,2,1,6,5,8]=>[1,2,1,2,2]=>11011010=>5 [7,4,1,8,5,6,2,3]=>[2,5,8,1,4,3,7,6]=>[3,2,2,1]=>10010101=>6 [7,2,5,8,1,6,3,4]=>[2,7,4,1,8,3,6,5]=>[2,1,2,2,1]=>10110101=>6 [6,4,8,1,5,7,2,3]=>[3,5,1,8,4,2,7,6]=>[2,2,1,2,1]=>10101101=>6 [5,8,4,2,6,3,7,1]=>[4,1,5,7,3,6,2,8]=>[1,3,2,2]=>11001010=>5 [6,2,5,1,4,7,8,3]=>[3,7,4,8,5,2,1,6]=>[2,2,1,1,2]=>10101110=>5 [2,7,4,1,3,6,8,5]=>[7,2,5,8,6,3,1,4]=>[1,3,1,1,2]=>11001110=>3 [5,7,1,2,6,4,8,3]=>[4,2,8,7,3,5,1,6]=>[1,2,1,2,2]=>11011010=>5 [5,1,8,2,3,7,6,4]=>[4,8,1,7,6,2,3,5]=>[2,2,1,3]=>10101100=>5 [3,1,8,5,2,4,7,6]=>[6,8,1,4,7,5,2,3]=>[2,3,1,2]=>10100110=>5 [5,2,1,8,4,6,7,3]=>[4,7,8,1,5,3,2,6]=>[3,2,1,2]=>10010110=>5 [6,2,1,4,7,5,8,3]=>[3,7,8,5,2,4,1,6]=>[3,1,2,2]=>10011010=>5 [2,8,1,3,7,4,6,5]=>[7,1,8,6,2,5,3,4]=>[1,2,1,2,2]=>11011010=>5 [6,2,3,8,4,5,7,1]=>[3,7,6,1,5,4,2,8]=>[2,1,2,1,2]=>10110110=>5 [2,6,1,3,4,8,7,5]=>[7,3,8,6,5,1,2,4]=>[1,2,1,1,3]=>11011100=>3 [1,2,6,3,5,7,8,4]=>[8,7,3,6,4,2,1,5]=>[1,1,2,1,1,2]=>11101110=>3 [6,8,7,9,5,4,3,2,1]=>[4,2,3,1,5,6,7,8,9]=>[1,2,6]=>110100000=>3 [5,8,7,6,9,4,3,2,1]=>[5,2,3,4,1,6,7,8,9]=>[1,3,5]=>110010000=>3 [4,8,7,6,5,9,3,2,1]=>[6,2,3,4,5,1,7,8,9]=>[1,4,4]=>110001000=>3 [3,8,7,6,5,4,9,2,1]=>[7,2,3,4,5,6,1,8,9]=>[1,5,3]=>110000100=>3 [2,8,7,6,5,4,3,9,1]=>[8,2,3,4,5,6,7,1,9]=>[1,6,2]=>110000010=>3 [2,6,1,5,4,7,3,8]=>[7,3,8,4,5,2,6,1]=>[1,2,2,2,1]=>11010101=>6 [1,2,8,5,4,6,3,7]=>[8,7,1,4,5,3,6,2]=>[1,1,3,2,1]=>11100101=>4 [1,3,6,8,4,5,7,2]=>[8,6,3,1,5,4,2,7]=>[1,1,1,2,1,2]=>11110110=>3 [1,2,8,4,6,3,7,5]=>[8,7,1,5,3,6,2,4]=>[1,1,2,2,2]=>11101010=>5 [4,6,3,5,7,8,1,2]=>[5,3,6,4,2,1,8,7]=>[1,2,1,1,2,1]=>11011101=>4 [2,7,6,5,1,4,8,3]=>[7,2,3,4,8,5,1,6]=>[1,4,1,2]=>11000110=>3 [2,3,6,8,4,1,7,5]=>[7,6,3,1,5,8,2,4]=>[1,1,1,3,2]=>11110010=>3 [1,2,6,8,4,7,5,3]=>[8,7,3,1,5,2,4,6]=>[1,1,1,2,3]=>11110100=>3 [1,7,2,8,6,3,5,4]=>[8,2,7,1,3,6,4,5]=>[1,2,3,2]=>11010010=>5 [2,3,8,5,4,7,1,6]=>[7,6,1,4,5,2,8,3]=>[1,1,3,2,1]=>11100101=>4 [2,6,1,4,8,3,7,5]=>[7,3,8,5,1,6,2,4]=>[1,2,1,2,2]=>11011010=>5 [3,7,6,5,2,1,4,8]=>[6,2,3,4,7,8,5,1]=>[1,5,1,1]=>11000011=>2 [2,3,5,8,7,1,6,4]=>[7,6,4,1,2,8,3,5]=>[1,1,1,3,2]=>11110010=>3 [8,4,2,3,7,1,6,5]=>[1,5,7,6,2,8,3,4]=>[3,1,2,2]=>10011010=>5 [5,2,4,8,7,3,1,6]=>[4,7,5,1,2,6,8,3]=>[2,1,4,1]=>10110001=>4 [3,5,7,6,1,8,2,4]=>[6,4,2,3,8,1,7,5]=>[1,1,3,2,1]=>11100101=>4 [8,3,2,6,7,4,1,5]=>[1,6,7,3,2,5,8,4]=>[3,1,3,1]=>10011001=>4 [6,5,7,3,1,2,8,4]=>[3,4,2,6,8,7,1,5]=>[2,3,1,2]=>10100110=>5 [3,8,2,4,1,7,6,5]=>[6,1,7,5,8,2,3,4]=>[1,2,2,3]=>11010100=>5 [3,5,8,2,6,7,1,4]=>[6,4,1,7,3,2,8,5]=>[1,1,2,1,2,1]=>11101101=>4 [6,5,7,1,2,8,4,3]=>[3,4,2,8,7,1,5,6]=>[2,2,1,3]=>10101100=>5 [3,2,4,6,7,8,1,5]=>[6,7,5,3,2,1,8,4]=>[2,1,1,1,2,1]=>10111101=>4 [3,7,2,4,1,5,6,8]=>[6,2,7,5,8,4,3,1]=>[1,2,2,1,1,1]=>11010111=>4 [3,2,4,6,7,1,5,8]=>[6,7,5,3,2,8,4,1]=>[2,1,1,2,1,1]=>10111011=>4 [5,2,6,8,1,3,7,4]=>[4,7,3,1,8,6,2,5]=>[2,1,2,1,2]=>10110110=>5 [7,1,5,2,6,4,3,8]=>[2,8,4,7,3,5,6,1]=>[2,2,3,1]=>10101001=>6 [8,3,5,2,6,1,4,7]=>[1,6,4,7,3,8,5,2]=>[2,2,2,1,1]=>10101011=>6 [5,6,1,3,8,7,4,2]=>[4,3,8,6,1,2,5,7]=>[1,2,1,4]=>11011000=>3 [1,8,5,6,2,7,4,3]=>[8,1,4,3,7,2,5,6]=>[1,2,2,3]=>11010100=>5 [8,3,5,2,6,7,1,4]=>[1,6,4,7,3,2,8,5]=>[2,2,1,2,1]=>10101101=>6 [8,3,2,4,6,7,1,5]=>[1,6,7,5,3,2,8,4]=>[3,1,1,2,1]=>10011101=>4 [3,7,2,4,6,1,5,8]=>[6,2,7,5,3,8,4,1]=>[1,2,1,2,1,1]=>11011011=>4 [3,2,4,7,1,5,6,8]=>[6,7,5,2,8,4,3,1]=>[2,1,2,1,1,1]=>10110111=>4 [3,8,2,4,1,5,6,7]=>[6,1,7,5,8,4,3,2]=>[1,2,2,1,1,1]=>11010111=>4 [8,3,5,7,2,6,1,4]=>[1,6,4,2,7,3,8,5]=>[2,1,2,2,1]=>10110101=>6 [4,2,7,6,1,8,5,3]=>[5,7,2,3,8,1,4,6]=>[2,3,3]=>10100100=>5 [7,3,2,1,6,8,5,4]=>[2,6,7,8,3,1,4,5]=>[4,1,3]=>10001100=>3 [7,2,4,8,6,3,5,1]=>[2,7,5,1,3,6,4,8]=>[2,1,3,2]=>10110010=>5 [7,3,2,1,8,5,4,6]=>[2,6,7,8,1,4,5,3]=>[4,3,1]=>10001001=>4 [7,3,2,1,6,4,8,5]=>[2,6,7,8,3,5,1,4]=>[4,2,2]=>10001010=>5 [3,5,2,1,8,4,7,6]=>[6,4,7,8,1,5,2,3]=>[1,3,2,2]=>11001010=>5 [3,6,5,2,1,8,4,7]=>[6,3,4,7,8,1,5,2]=>[1,4,2,1]=>11000101=>4 [6,3,8,4,2,5,1,7]=>[3,6,1,5,7,4,8,2]=>[2,3,2,1]=>10100101=>6 [6,7,2,4,3,5,8,1]=>[3,2,7,5,6,4,1,8]=>[1,2,2,1,2]=>11010110=>5 [3,6,7,4,2,5,1,8]=>[6,3,2,5,7,4,8,1]=>[1,1,3,2,1]=>11100101=>4 [6,4,7,3,2,1,5,8]=>[3,5,2,6,7,8,4,1]=>[2,4,1,1]=>10100011=>4 [5,3,6,2,1,7,4,8]=>[4,6,3,7,8,2,5,1]=>[2,3,2,1]=>10100101=>6 [3,2,6,5,1,7,4,8]=>[6,7,3,4,8,2,5,1]=>[2,3,2,1]=>10100101=>6 [4,3,2,7,1,6,5,8]=>[5,6,7,2,8,3,4,1]=>[3,2,2,1]=>10010101=>6 [4,5,3,7,2,1,6,8]=>[5,4,6,2,7,8,3,1]=>[1,2,3,1,1]=>11010011=>4 [4,3,8,2,1,5,7,6]=>[5,6,1,7,8,4,2,3]=>[2,3,1,2]=>10100110=>5 [4,3,2,8,1,6,7,5]=>[5,6,7,1,8,3,2,4]=>[3,2,1,2]=>10010110=>5 [4,5,8,3,2,7,1,6]=>[5,4,1,6,7,2,8,3]=>[1,1,3,2,1]=>11100101=>4 [5,8,3,4,7,2,1,6]=>[4,1,6,5,2,7,8,3]=>[1,2,1,3,1]=>11011001=>4 [6,8,5,2,7,3,4,1]=>[3,1,4,7,2,6,5,8]=>[1,3,2,2]=>11001010=>5 [2,5,4,6,1,8,7,3]=>[7,4,5,3,8,1,2,6]=>[1,2,2,3]=>11010100=>5 [5,3,6,2,1,7,8,4]=>[4,6,3,7,8,2,1,5]=>[2,3,1,2]=>10100110=>5 [3,6,7,4,8,2,1,5]=>[6,3,2,5,1,7,8,4]=>[1,1,2,3,1]=>11101001=>4 [6,7,2,4,8,3,5,1]=>[3,2,7,5,1,6,4,8]=>[1,2,1,2,2]=>11011010=>5 [5,4,7,8,2,3,6,1]=>[4,5,2,1,7,6,3,8]=>[2,1,2,1,2]=>10110110=>5 [4,3,8,2,1,6,7,5]=>[5,6,1,7,8,3,2,4]=>[2,3,1,2]=>10100110=>5 [4,3,2,8,1,5,7,6]=>[5,6,7,1,8,4,2,3]=>[3,2,1,2]=>10010110=>5 [4,5,3,2,6,8,1,7]=>[5,4,6,7,3,1,8,2]=>[1,3,1,2,1]=>11001101=>4 [9,1,3,4,5,6,7,8,2]=>[1,9,7,6,5,4,3,2,8]=>[2,1,1,1,1,1,2]=>101111110=>3 [3,6,7,4,5,2,8,1]=>[6,3,2,5,4,7,1,8]=>[1,1,2,2,2]=>11101010=>5 [3,4,7,5,6,2,8,1]=>[6,5,2,4,3,7,1,8]=>[1,1,2,2,2]=>11101010=>5 [3,5,7,4,6,2,8,1]=>[6,4,2,5,3,7,1,8]=>[1,1,2,2,2]=>11101010=>5 [4,5,2,3,7,6,8,1]=>[5,4,7,6,2,3,1,8]=>[1,2,1,2,2]=>11011010=>5 [6,3,5,1,7,8,4,2]=>[3,6,4,8,2,1,5,7]=>[2,2,1,3]=>10101100=>5 [5,3,7,6,2,4,8,1]=>[4,6,2,3,7,5,1,8]=>[2,3,1,2]=>10100110=>5 [5,2,7,6,3,4,8,1]=>[4,7,2,3,6,5,1,8]=>[2,3,1,2]=>10100110=>5 [5,2,7,6,4,3,8,1]=>[4,7,2,3,5,6,1,8]=>[2,4,2]=>10100010=>5 [4,6,7,2,5,3,8,1]=>[5,3,2,7,4,6,1,8]=>[1,1,2,2,2]=>11101010=>5 [4,6,7,3,5,2,8,1]=>[5,3,2,6,4,7,1,8]=>[1,1,2,2,2]=>11101010=>5 [5,3,7,6,4,2,8,1]=>[4,6,2,3,5,7,1,8]=>[2,4,2]=>10100010=>5 [6,4,7,8,3,1,5,2]=>[3,5,2,1,6,8,4,7]=>[2,1,3,2]=>10110010=>5 [8,4,7,3,1,5,6,2]=>[1,5,2,6,8,4,3,7]=>[2,3,1,2]=>10100110=>5 [7,4,8,6,2,5,1,3]=>[2,5,1,3,7,4,8,6]=>[2,3,2,1]=>10100101=>6 [6,4,7,8,1,3,5,2]=>[3,5,2,1,8,6,4,7]=>[2,1,2,1,2]=>10110110=>5 [6,3,1,5,7,8,4,2]=>[3,6,8,4,2,1,5,7]=>[3,1,1,3]=>10011100=>3 [5,6,7,3,8,1,4,2]=>[4,3,2,6,1,8,5,7]=>[1,1,2,2,2]=>11101010=>5 [8,4,1,7,2,5,6,3]=>[1,5,8,2,7,4,3,6]=>[3,2,1,2]=>10010110=>5 [5,8,1,7,6,4,2,3]=>[4,1,8,2,3,5,7,6]=>[1,2,4,1]=>11010001=>4 [2,6,7,8,5,4,1,3]=>[7,3,2,1,4,5,8,6]=>[1,1,1,4,1]=>11110001=>2 [1,6,7,8,5,4,2,3]=>[8,3,2,1,4,5,7,6]=>[1,1,1,4,1]=>11110001=>2 [5,6,7,1,8,3,4,2]=>[4,3,2,8,1,6,5,7]=>[1,1,2,2,2]=>11101010=>5 [6,1,7,8,3,4,5,2]=>[3,8,2,1,6,5,4,7]=>[2,1,2,1,2]=>10110110=>5 [7,1,8,6,2,5,4,3]=>[2,8,1,3,7,4,5,6]=>[2,3,3]=>10100100=>5 [8,2,1,6,4,5,7,3]=>[1,7,8,3,5,4,2,6]=>[3,2,1,2]=>10010110=>5 [8,5,1,7,6,4,2,3]=>[1,4,8,2,3,5,7,6]=>[3,4,1]=>10010001=>4 [1,5,8,2,6,4,7,3]=>[8,4,1,7,3,5,2,6]=>[1,1,2,2,2]=>11101010=>5 [6,1,5,3,7,8,4,2]=>[3,8,4,6,2,1,5,7]=>[2,2,1,3]=>10101100=>5 [1,5,7,4,6,8,3,2]=>[8,4,2,5,3,1,6,7]=>[1,1,2,1,3]=>11101100=>3 [1,4,7,5,6,8,3,2]=>[8,5,2,4,3,1,6,7]=>[1,1,2,1,3]=>11101100=>3 [1,6,7,4,5,8,3,2]=>[8,3,2,5,4,1,6,7]=>[1,1,2,1,3]=>11101100=>3 [5,6,7,4,8,1,3,2]=>[4,3,2,5,1,8,6,7]=>[1,1,2,2,2]=>11101010=>5 [6,4,7,5,8,1,3,2]=>[3,5,2,4,1,8,6,7]=>[2,2,2,2]=>10101010=>7 [7,5,2,1,8,4,6,3]=>[2,4,7,8,1,5,3,6]=>[4,2,2]=>10001010=>5 [8,5,2,7,6,4,1,3]=>[1,4,7,2,3,5,8,6]=>[3,4,1]=>10010001=>4 [8,1,2,6,4,5,7,3]=>[1,8,7,3,5,4,2,6]=>[2,1,2,1,2]=>10110110=>5 [4,8,1,7,2,5,6,3]=>[5,1,8,2,7,4,3,6]=>[1,2,2,1,2]=>11010110=>5 [2,6,7,1,5,4,8,3]=>[7,3,2,8,4,5,1,6]=>[1,1,2,2,2]=>11101010=>5 [7,2,1,5,6,4,8,3]=>[2,7,8,4,3,5,1,6]=>[3,1,2,2]=>10011010=>5 [2,8,1,6,4,5,7,3]=>[7,1,8,3,5,4,2,6]=>[1,2,2,1,2]=>11010110=>5 [8,2,7,6,5,3,1,4]=>[1,7,2,3,4,6,8,5]=>[2,5,1]=>10100001=>4 [8,3,7,6,5,1,2,4]=>[1,6,2,3,4,8,7,5]=>[2,4,1,1]=>10100011=>4 [1,8,2,6,4,5,7,3]=>[8,1,7,3,5,4,2,6]=>[1,2,2,1,2]=>11010110=>5 [7,1,2,5,6,4,8,3]=>[2,8,7,4,3,5,1,6]=>[2,1,1,2,2]=>10111010=>5 [1,6,7,2,5,4,8,3]=>[8,3,2,7,4,5,1,6]=>[1,1,2,2,2]=>11101010=>5 [3,2,7,6,5,8,1,4]=>[6,7,2,3,4,1,8,5]=>[2,3,2,1]=>10100101=>6 [1,3,7,6,5,2,8,4]=>[8,6,2,3,4,7,1,5]=>[1,1,4,2]=>11100010=>3 [8,3,7,6,5,2,1,4]=>[1,6,2,3,4,7,8,5]=>[2,5,1]=>10100001=>4 [7,1,8,4,5,6,3,2]=>[2,8,1,5,4,3,6,7]=>[2,2,1,3]=>10101100=>5 [6,7,3,2,5,8,1,4]=>[3,2,6,7,4,1,8,5]=>[1,3,1,2,1]=>11001101=>4 [6,1,8,4,5,3,7,2]=>[3,8,1,5,4,6,2,7]=>[2,2,2,2]=>10101010=>7 [5,1,4,6,2,8,7,3]=>[4,8,5,3,7,1,2,6]=>[2,1,2,3]=>10110100=>5 [7,3,5,2,1,6,8,4]=>[2,6,4,7,8,3,1,5]=>[2,3,1,2]=>10100110=>5 [8,5,1,2,6,3,7,4]=>[1,4,8,7,3,6,2,5]=>[3,1,2,2]=>10011010=>5 [2,5,6,3,8,1,7,4]=>[7,4,3,6,1,8,2,5]=>[1,1,2,2,2]=>11101010=>5 [7,6,5,2,1,4,8,3]=>[2,3,4,7,8,5,1,6]=>[5,1,2]=>10000110=>3 [1,5,8,7,4,6,3,2]=>[8,4,1,2,5,3,6,7]=>[1,1,3,3]=>11100100=>3 [5,7,2,1,3,6,8,4]=>[4,2,7,8,6,3,1,5]=>[1,3,1,1,2]=>11001110=>3 [2,8,7,5,3,6,1,4]=>[7,1,2,4,6,3,8,5]=>[1,4,2,1]=>11000101=>4 [2,7,6,3,8,1,5,4]=>[7,2,3,6,1,8,4,5]=>[1,3,2,2]=>11001010=>5 [3,4,2,6,1,7,8,5]=>[6,5,7,3,8,2,1,4]=>[1,2,2,1,2]=>11010110=>5 [3,7,2,6,8,1,5,4]=>[6,2,7,3,1,8,4,5]=>[1,2,1,2,2]=>11011010=>5 [7,4,8,6,5,1,3,2]=>[2,5,1,3,4,8,6,7]=>[2,4,2]=>10100010=>5 [2,7,6,8,5,1,4,3]=>[7,2,3,1,4,8,5,6]=>[1,2,3,2]=>11010010=>5 [1,6,4,5,7,3,8,2]=>[8,3,5,4,2,6,1,7]=>[1,2,1,2,2]=>11011010=>5 [1,5,4,7,8,6,2,3]=>[8,4,5,2,1,3,7,6]=>[1,2,1,3,1]=>11011001=>4 [7,3,1,6,8,2,5,4]=>[2,6,8,3,1,7,4,5]=>[3,1,2,2]=>10011010=>5 [7,1,6,8,5,2,4,3]=>[2,8,3,1,4,7,5,6]=>[2,1,3,2]=>10110010=>5 [3,5,8,7,6,4,1,2]=>[6,4,1,2,3,5,8,7]=>[1,1,5,1]=>11100001=>2 [7,1,5,8,6,2,4,3]=>[2,8,4,1,3,7,5,6]=>[2,1,3,2]=>10110010=>5 [1,5,7,8,6,2,4,3]=>[8,4,2,1,3,7,5,6]=>[1,1,1,3,2]=>11110010=>3 [2,7,5,8,6,1,4,3]=>[7,2,4,1,3,8,5,6]=>[1,2,3,2]=>11010010=>5 [4,3,6,2,1,7,8,5]=>[5,6,3,7,8,2,1,4]=>[2,3,1,2]=>10100110=>5 [1,6,4,7,3,5,8,2]=>[8,3,5,2,6,4,1,7]=>[1,2,2,1,2]=>11010110=>5 [4,6,2,3,1,7,8,5]=>[5,3,7,6,8,2,1,4]=>[1,2,2,1,2]=>11010110=>5 [3,6,2,1,4,7,8,5]=>[6,3,7,8,5,2,1,4]=>[1,3,1,1,2]=>11001110=>3 [6,8,2,7,5,4,3,1]=>[3,1,7,2,4,5,6,8]=>[1,2,5]=>11010000=>3 [5,8,1,7,6,4,3,2]=>[4,1,8,2,3,5,6,7]=>[1,2,5]=>11010000=>3 [8,5,3,2,4,1,7,6]=>[1,4,6,7,5,8,2,3]=>[4,2,2]=>10001010=>5 [7,5,2,4,3,6,8,1]=>[2,4,7,5,6,3,1,8]=>[3,2,1,2]=>10010110=>5 [8,5,1,4,6,3,2,7]=>[1,4,8,5,3,6,7,2]=>[3,1,3,1]=>10011001=>4 [8,5,1,6,3,4,2,7]=>[1,4,8,3,6,5,7,2]=>[3,2,2,1]=>10010101=>6 [8,4,3,6,1,5,2,7]=>[1,5,6,3,8,4,7,2]=>[3,2,2,1]=>10010101=>6 [8,4,3,5,2,1,7,6]=>[1,5,6,4,7,8,2,3]=>[3,3,2]=>10010010=>5 [6,4,3,2,8,7,1,5]=>[3,5,6,7,1,2,8,4]=>[4,3,1]=>10001001=>4 [8,5,1,4,3,7,2,6]=>[1,4,8,5,6,2,7,3]=>[3,2,2,1]=>10010101=>6 [8,5,4,2,1,3,7,6]=>[1,4,5,7,8,6,2,3]=>[5,1,2]=>10000110=>3 [4,7,3,6,1,8,5,2]=>[5,2,6,3,8,1,4,7]=>[1,2,2,3]=>11010100=>5 [8,1,6,3,7,4,2,5]=>[1,8,3,6,2,5,7,4]=>[2,2,3,1]=>10101001=>6 [5,3,8,2,6,7,1,4]=>[4,6,1,7,3,2,8,5]=>[2,2,1,2,1]=>10101101=>6 [8,2,4,6,3,7,1,5]=>[1,7,5,3,6,2,8,4]=>[2,1,2,2,1]=>10110101=>6 [7,2,6,4,3,5,8,1]=>[2,7,3,5,6,4,1,8]=>[2,3,1,2]=>10100110=>5 [7,3,6,2,4,5,8,1]=>[2,6,3,7,5,4,1,8]=>[2,2,1,1,2]=>10101110=>5 [8,3,7,2,1,4,6,5]=>[1,6,2,7,8,5,3,4]=>[2,3,1,2]=>10100110=>5 [7,6,4,1,3,2,8,5]=>[2,3,5,8,6,7,1,4]=>[4,2,2]=>10001010=>5 [6,2,5,7,4,3,8,1]=>[3,7,4,2,5,6,1,8]=>[2,1,3,2]=>10110010=>5 [7,2,4,8,5,1,6,3]=>[2,7,5,1,4,8,3,6]=>[2,1,3,2]=>10110010=>5 [4,2,7,6,8,5,1,3]=>[5,7,2,3,1,4,8,6]=>[2,2,3,1]=>10101001=>6 [7,1,6,2,8,5,4,3]=>[2,8,3,7,1,4,5,6]=>[2,2,4]=>10101000=>5 [7,1,6,3,8,5,2,4]=>[2,8,3,6,1,4,7,5]=>[2,2,3,1]=>10101001=>6 [7,2,6,8,1,3,5,4]=>[2,7,3,1,8,6,4,5]=>[2,1,2,1,2]=>10110110=>5 [7,1,8,5,3,2,6,4]=>[2,8,1,4,6,7,3,5]=>[2,4,2]=>10100010=>5 [7,1,8,2,5,6,4,3]=>[2,8,1,7,4,3,5,6]=>[2,2,1,3]=>10101100=>5 [6,1,5,8,7,2,4,3]=>[3,8,4,1,2,7,5,6]=>[2,1,3,2]=>10110010=>5 [6,1,5,7,4,8,3,2]=>[3,8,4,2,5,1,6,7]=>[2,1,2,3]=>10110100=>5 [6,1,5,7,8,3,4,2]=>[3,8,4,2,1,6,5,7]=>[2,1,1,2,2]=>10111010=>5 [4,6,7,3,1,8,5,2]=>[5,3,2,6,8,1,4,7]=>[1,1,3,3]=>11100100=>3 [4,2,6,3,1,8,7,5]=>[5,7,3,6,8,1,2,4]=>[2,3,3]=>10100100=>5 [1,5,3,8,4,6,2,7]=>[8,4,6,1,5,3,7,2]=>[1,2,2,2,1]=>11010101=>6 [7,2,3,5,8,4,1,6]=>[2,7,6,4,1,5,8,3]=>[2,1,1,3,1]=>10111001=>4 [7,6,4,2,8,5,1,3]=>[2,3,5,7,1,4,8,6]=>[4,3,1]=>10001001=>4 [1,7,6,4,8,5,3,2]=>[8,2,3,5,1,4,6,7]=>[1,3,4]=>11001000=>3 [8,7,4,2,1,5,6,3]=>[1,2,5,7,8,4,3,6]=>[5,1,2]=>10000110=>3 [8,2,3,5,1,4,6,7]=>[1,7,6,4,8,5,3,2]=>[2,1,2,1,1,1]=>10110111=>4 [8,7,4,1,3,2,6,5]=>[1,2,5,8,6,7,3,4]=>[4,2,2]=>10001010=>5 [7,1,4,8,3,6,2,5]=>[2,8,5,1,6,3,7,4]=>[2,1,2,2,1]=>10110101=>6 [4,1,8,5,7,6,2,3]=>[5,8,1,4,2,3,7,6]=>[2,2,3,1]=>10101001=>6 [3,7,5,8,4,2,1,6]=>[6,2,4,1,5,7,8,3]=>[1,2,4,1]=>11010001=>4 [6,1,5,8,3,4,2,7]=>[3,8,4,1,6,5,7,2]=>[2,1,2,2,1]=>10110101=>6 [6,7,5,1,3,2,4,8]=>[3,2,4,8,6,7,5,1]=>[1,3,2,1,1]=>11001011=>4 [5,2,6,1,7,3,4,8]=>[4,7,3,8,2,6,5,1]=>[2,2,2,1,1]=>10101011=>6 [4,2,6,8,3,7,1,5]=>[5,7,3,1,6,2,8,4]=>[2,1,2,2,1]=>10110101=>6 [6,8,5,1,4,2,3,7]=>[3,1,4,8,5,7,6,2]=>[1,3,2,1,1]=>11001011=>4 [7,8,4,5,1,3,6,2]=>[2,1,5,4,8,6,3,7]=>[1,2,2,1,2]=>11010110=>5 [1,7,8,5,3,4,6,2]=>[8,2,1,4,6,5,3,7]=>[1,1,3,1,2]=>11100110=>3 [1,5,8,3,6,4,7,2]=>[8,4,1,6,3,5,2,7]=>[1,1,2,2,2]=>11101010=>5 [6,3,8,1,4,2,7,5]=>[3,6,1,8,5,7,2,4]=>[2,2,2,2]=>10101010=>7 [4,8,1,5,6,3,7,2]=>[5,1,8,4,3,6,2,7]=>[1,2,1,2,2]=>11011010=>5 [1,8,2,6,5,3,7,4]=>[8,1,7,3,4,6,2,5]=>[1,2,3,2]=>11010010=>5 [3,8,1,7,2,6,5,4]=>[6,1,8,2,7,3,4,5]=>[1,2,2,3]=>11010100=>5 [7,3,8,1,2,6,5,4]=>[2,6,1,8,7,3,4,5]=>[2,2,1,3]=>10101100=>5 [8,1,4,2,3,5,7,6]=>[1,8,5,7,6,4,2,3]=>[2,2,1,1,2]=>10101110=>5 [8,1,2,4,6,5,7,3]=>[1,8,7,5,3,4,2,6]=>[2,1,1,2,2]=>10111010=>5 [6,2,8,3,5,4,7,1]=>[3,7,1,6,4,5,2,8]=>[2,2,2,2]=>10101010=>7 [6,1,8,2,5,4,7,3]=>[3,8,1,7,4,5,2,6]=>[2,2,2,2]=>10101010=>7 [8,3,7,2,5,4,6,1]=>[1,6,2,7,4,5,3,8]=>[2,2,2,2]=>10101010=>7 [5,1,8,3,7,4,6,2]=>[4,8,1,6,2,5,3,7]=>[2,2,2,2]=>10101010=>7 [8,3,7,1,5,4,6,2]=>[1,6,2,8,4,5,3,7]=>[2,2,2,2]=>10101010=>7 [8,4,7,1,5,3,6,2]=>[1,5,2,8,4,6,3,7]=>[2,2,2,2]=>10101010=>7 [7,2,5,3,4,6,1,8]=>[2,7,4,6,5,3,8,1]=>[2,2,1,2,1]=>10101101=>6 [7,4,3,1,6,2,5,8]=>[2,5,6,8,3,7,4,1]=>[4,2,1,1]=>10001011=>4 [7,6,4,2,5,3,1,8]=>[2,3,5,7,4,6,8,1]=>[4,3,1]=>10001001=>4 [3,8,4,6,2,5,7,1]=>[6,1,5,3,7,4,2,8]=>[1,2,2,1,2]=>11010110=>5 [1,7,2,6,3,4,8,5]=>[8,2,7,3,6,5,1,4]=>[1,2,2,1,2]=>11010110=>5 [7,1,2,6,3,4,5,8]=>[2,8,7,3,6,5,4,1]=>[2,1,2,1,1,1]=>10110111=>4 [7,1,6,5,4,2,3,8]=>[2,8,3,4,5,7,6,1]=>[2,4,1,1]=>10100011=>4 [5,8,4,3,1,7,2,6]=>[4,1,5,6,8,2,7,3]=>[1,4,2,1]=>11000101=>4 [2,1,7,6,3,5,8,4]=>[7,8,2,3,6,4,1,5]=>[2,3,1,2]=>10100110=>5 [3,6,8,5,2,4,7,1]=>[6,3,1,4,7,5,2,8]=>[1,1,3,1,2]=>11100110=>3 [5,7,8,4,3,2,6,1]=>[4,2,1,5,6,7,3,8]=>[1,1,4,2]=>11100010=>3 [1,4,8,6,5,7,3,2]=>[8,5,1,3,4,2,6,7]=>[1,1,3,3]=>11100100=>3 [1,3,8,4,7,2,6,5]=>[8,6,1,5,2,7,3,4]=>[1,1,2,2,2]=>11101010=>5 [2,5,8,3,4,7,1,6]=>[7,4,1,6,5,2,8,3]=>[1,1,2,1,2,1]=>11101101=>4 [5,4,2,8,3,7,1,6]=>[4,5,7,1,6,2,8,3]=>[3,2,2,1]=>10010101=>6 [5,3,1,7,6,8,4,2]=>[4,6,8,2,3,1,5,7]=>[3,2,3]=>10010100=>5 [4,2,7,1,5,8,6,3]=>[5,7,2,8,4,1,3,6]=>[2,2,1,3]=>10101100=>5 [6,1,7,4,3,8,5,2]=>[3,8,2,5,6,1,4,7]=>[2,3,3]=>10100100=>5 [1,3,7,4,8,5,6,2]=>[8,6,2,5,1,4,3,7]=>[1,1,2,2,2]=>11101010=>5 [6,7,1,3,2,8,5,4]=>[3,2,8,6,7,1,4,5]=>[1,2,2,3]=>11010100=>5 [3,7,2,1,6,8,5,4]=>[6,2,7,8,3,1,4,5]=>[1,3,1,3]=>11001100=>3 [1,5,3,2,6,8,4,7]=>[8,4,6,7,3,1,5,2]=>[1,3,1,2,1]=>11001101=>4 [5,4,3,1,7,2,8,6]=>[4,5,6,8,2,7,1,3]=>[4,2,2]=>10001010=>5 [5,1,4,2,3,6,8,7]=>[4,8,5,7,6,3,1,2]=>[2,2,1,1,2]=>10101110=>5 [3,7,6,5,8,2,4,1]=>[6,2,3,4,1,7,5,8]=>[1,3,2,2]=>11001010=>5 [5,7,4,2,8,6,1,3]=>[4,2,5,7,1,3,8,6]=>[1,3,3,1]=>11001001=>4 [5,4,3,7,8,2,6,1]=>[4,5,6,2,1,7,3,8]=>[3,1,2,2]=>10011010=>5 [2,3,7,8,6,1,4,5]=>[7,6,2,1,3,8,5,4]=>[1,1,1,3,1,1]=>11110011=>2 [5,7,8,6,2,4,3,1]=>[4,2,1,3,7,5,6,8]=>[1,1,3,3]=>11100100=>3 [6,2,5,1,4,7,3,8]=>[3,7,4,8,5,2,6,1]=>[2,2,1,2,1]=>10101101=>6 [5,8,7,1,4,2,3,6]=>[4,1,2,8,5,7,6,3]=>[1,3,2,1,1]=>11001011=>4 [7,5,2,4,1,8,6,3]=>[2,4,7,5,8,1,3,6]=>[3,2,3]=>10010100=>5 [2,6,3,7,1,4,5,8]=>[7,3,6,2,8,5,4,1]=>[1,2,2,1,1,1]=>11010111=>4 [8,2,3,5,4,1,6,7]=>[1,7,6,4,5,8,3,2]=>[2,1,3,1,1]=>10110011=>4 [6,5,1,2,4,7,8,3]=>[3,4,8,7,5,2,1,6]=>[3,1,1,1,2]=>10011110=>3 [6,1,3,7,8,2,4,5]=>[3,8,6,2,1,7,5,4]=>[2,1,1,2,1,1]=>10111011=>4 [7,6,8,4,3,1,5,2]=>[2,3,1,5,6,8,4,7]=>[2,4,2]=>10100010=>5 [3,8,6,1,4,2,5,7]=>[6,1,3,8,5,7,4,2]=>[1,3,2,1,1]=>11001011=>4 [7,6,5,3,8,1,4,2]=>[2,3,4,6,1,8,5,7]=>[4,2,2]=>10001010=>5 [1,7,6,5,3,2,4,8]=>[8,2,3,4,6,7,5,1]=>[1,5,1,1]=>11000011=>2 [2,7,6,5,4,1,3,8]=>[7,2,3,4,5,8,6,1]=>[1,5,1,1]=>11000011=>2 [2,8,6,4,5,1,3,7]=>[7,1,3,5,4,8,6,2]=>[1,3,2,1,1]=>11001011=>4 [7,6,8,5,3,1,4,2]=>[2,3,1,4,6,8,5,7]=>[2,4,2]=>10100010=>5 [3,8,2,5,4,6,1,7]=>[6,1,7,4,5,3,8,2]=>[1,2,2,2,1]=>11010101=>6 [5,2,3,6,4,1,7,8]=>[4,7,6,3,5,8,2,1]=>[2,1,3,1,1]=>10110011=>4 [8,1,2,6,7,3,4,5]=>[1,8,7,3,2,6,5,4]=>[2,1,1,2,1,1]=>10111011=>4 [6,2,3,5,8,4,1,7]=>[3,7,6,4,1,5,8,2]=>[2,1,1,3,1]=>10111001=>4 [4,7,6,1,5,8,3,2]=>[5,2,3,8,4,1,6,7]=>[1,3,1,3]=>11001100=>3 [1,5,6,8,2,4,3,7]=>[8,4,3,1,7,5,6,2]=>[1,1,1,2,2,1]=>11110101=>4 [7,1,6,5,3,8,2,4]=>[2,8,3,4,6,1,7,5]=>[2,3,2,1]=>10100101=>6 [9,8,7,6,5,4,2,3,1]=>[1,2,3,4,5,6,8,7,9]=>[7,2]=>100000010=>3 [2,3,9,8,7,6,5,4,1]=>[8,7,1,2,3,4,5,6,9]=>[1,1,7]=>111000000=>1 [9,1,3,2,4,5,6,7,8]=>[1,9,7,8,6,5,4,3,2]=>[2,2,1,1,1,1,1]=>101011111=>4 [6,8,7,1,5,4,3,2]=>[3,1,2,8,4,5,6,7]=>[1,3,4]=>11001000=>3 [8,7,4,6,5,1,3,2]=>[1,2,5,3,4,8,6,7]=>[3,3,2]=>10010010=>5 [7,9,8,1,6,5,4,3,2]=>[3,1,2,9,4,5,6,7,8]=>[1,3,5]=>110010000=>3 [9,7,8,1,6,5,4,3,2]=>[1,3,2,9,4,5,6,7,8]=>[2,2,5]=>101010000=>5 [9,8,7,1,6,5,4,3,2]=>[1,2,3,9,4,5,6,7,8]=>[4,5]=>100010000=>3 [6,9,8,7,1,5,4,3,2]=>[4,1,2,3,9,5,6,7,8]=>[1,4,4]=>110001000=>3 [9,6,8,7,1,5,4,3,2]=>[1,4,2,3,9,5,6,7,8]=>[2,3,4]=>101001000=>5 [9,8,7,6,1,5,4,3,2]=>[1,2,3,4,9,5,6,7,8]=>[5,4]=>100001000=>3 [9,8,7,6,5,1,4,3,2]=>[1,2,3,4,5,9,6,7,8]=>[6,3]=>100000100=>3 [3,5,2,7,4,8,6,1,9]=>[7,5,8,3,6,2,4,9,1]=>[1,2,2,3,1]=>110101001=>6 [2,5,3,6,4,8,7,1]=>[7,4,6,3,5,1,2,8]=>[1,2,2,3]=>11010100=>5 [2,5,3,7,4,8,6,1]=>[7,4,6,2,5,1,3,8]=>[1,2,2,3]=>11010100=>5 [4,3,7,2,1,8,5,6]=>[5,6,2,7,8,1,4,3]=>[2,3,2,1]=>10100101=>6 [1,7,4,3,2,8,5,6]=>[8,2,5,6,7,1,4,3]=>[1,4,2,1]=>11000101=>4 [7,4,6,3,5,8,1,2]=>[2,5,3,6,4,1,8,7]=>[2,2,1,2,1]=>10101101=>6 [7,2,6,1,5,8,3,4]=>[2,7,3,8,4,1,6,5]=>[2,2,1,2,1]=>10101101=>6 [7,2,6,1,8,5,4,3]=>[2,7,3,8,1,4,5,6]=>[2,2,4]=>10101000=>5 [4,7,3,8,6,2,5,1]=>[5,2,6,1,3,7,4,8]=>[1,2,3,2]=>11010010=>5 [4,7,3,6,8,2,1,5]=>[5,2,6,3,1,7,8,4]=>[1,2,1,3,1]=>11011001=>4 [5,4,7,3,8,2,1,6]=>[4,5,2,6,1,7,8,3]=>[2,2,3,1]=>10101001=>6 [8,3,7,2,4,6,5,1]=>[1,6,2,7,5,3,4,8]=>[2,2,1,3]=>10101100=>5 [7,3,6,4,2,5,1,8]=>[2,6,3,5,7,4,8,1]=>[2,3,2,1]=>10100101=>6 [8,7,2,4,6,3,5,1]=>[1,2,7,5,3,6,4,8]=>[3,1,2,2]=>10011010=>5 [1,3,6,8,5,7,4,2]=>[8,6,3,1,4,2,5,7]=>[1,1,1,2,3]=>11110100=>3 [7,3,6,2,8,5,4,1]=>[2,6,3,7,1,4,5,8]=>[2,2,4]=>10101000=>5 [7,4,6,8,3,5,2,1]=>[2,5,3,1,6,4,7,8]=>[2,1,2,3]=>10110100=>5 [4,3,5,7,2,6,1,8]=>[5,6,4,2,7,3,8,1]=>[2,1,2,2,1]=>10110101=>6 [5,4,6,8,3,7,2,1]=>[4,5,3,1,6,2,7,8]=>[2,1,2,3]=>10110100=>5 [1,7,2,8,5,4,3,6]=>[8,2,7,1,4,5,6,3]=>[1,2,4,1]=>11010001=>4 [1,3,8,5,7,4,6,2]=>[8,6,1,4,2,5,3,7]=>[1,1,2,2,2]=>11101010=>5 [6,8,2,5,7,1,4,3]=>[3,1,7,4,2,8,5,6]=>[1,2,1,2,2]=>11011010=>5 [5,7,2,4,6,1,3,8]=>[4,2,7,5,3,8,6,1]=>[1,2,1,2,1,1]=>11011011=>4 [3,8,6,2,7,5,1,4]=>[6,1,3,7,2,4,8,5]=>[1,3,3,1]=>11001001=>4 [5,8,4,2,7,3,6,1]=>[4,1,5,7,2,6,3,8]=>[1,3,2,2]=>11001010=>5 [1,8,6,3,5,2,4,7]=>[8,1,3,6,4,7,5,2]=>[1,3,2,1,1]=>11001011=>4 [7,4,2,6,3,1,5,8]=>[2,5,7,3,6,8,4,1]=>[3,3,1,1]=>10010011=>4 [8,1,5,2,4,6,3,7]=>[1,8,4,7,5,3,6,2]=>[2,2,1,2,1]=>10101101=>6 [6,1,5,7,2,3,8,4]=>[3,8,4,2,7,6,1,5]=>[2,1,2,1,2]=>10110110=>5 [8,6,1,3,4,5,7,2]=>[1,3,8,6,5,4,2,7]=>[3,1,1,1,2]=>10011110=>3 [8,5,7,2,4,6,1,3]=>[1,4,2,7,5,3,8,6]=>[2,2,1,2,1]=>10101101=>6 [6,1,3,7,2,5,8,4]=>[3,8,6,2,7,4,1,5]=>[2,1,2,1,2]=>10110110=>5 [8,2,5,1,4,7,3,6]=>[1,7,4,8,5,2,6,3]=>[2,2,1,2,1]=>10101101=>6 [8,1,3,6,4,2,5,7]=>[1,8,6,3,5,7,4,2]=>[2,1,3,1,1]=>10110011=>4 [8,3,6,7,4,1,2,5]=>[1,6,3,2,5,8,7,4]=>[2,1,3,1,1]=>10110011=>4 [8,5,1,2,4,6,7,3]=>[1,4,8,7,5,3,2,6]=>[3,1,1,1,2]=>10011110=>3 [1,7,8,3,6,4,2,5]=>[8,2,1,6,3,5,7,4]=>[1,1,2,3,1]=>11101001=>4 [1,7,8,5,6,4,2,3]=>[8,2,1,4,3,5,7,6]=>[1,1,2,3,1]=>11101001=>4 [8,3,1,2,4,6,7,5]=>[1,6,8,7,5,3,2,4]=>[3,1,1,1,2]=>10011110=>3 [3,1,7,5,8,2,4,6]=>[6,8,2,4,1,7,5,3]=>[2,2,2,1,1]=>10101011=>6 [8,1,3,2,4,6,5,7]=>[1,8,6,7,5,3,4,2]=>[2,2,1,2,1]=>10101101=>6 [3,2,6,5,8,1,4,7]=>[6,7,3,4,1,8,5,2]=>[2,2,2,1,1]=>10101011=>6 [8,2,3,7,4,1,5,6]=>[1,7,6,2,5,8,4,3]=>[2,1,3,1,1]=>10110011=>4 [8,1,5,6,4,2,3,7]=>[1,8,4,3,5,7,6,2]=>[2,1,3,1,1]=>10110011=>4 [3,5,8,1,6,4,2,7]=>[6,4,1,8,3,5,7,2]=>[1,1,2,3,1]=>11101001=>4 [3,5,8,2,7,4,1,6]=>[6,4,1,7,2,5,8,3]=>[1,1,2,3,1]=>11101001=>4 [8,3,2,7,4,1,6,5]=>[1,6,7,2,5,8,3,4]=>[3,3,2]=>10010010=>5 [6,5,1,7,3,2,8,4]=>[3,4,8,2,6,7,1,5]=>[3,3,2]=>10010010=>5 [8,3,1,6,4,2,7,5]=>[1,6,8,3,5,7,2,4]=>[3,3,2]=>10010010=>5 [8,2,7,5,4,3,1,6]=>[1,7,2,4,5,6,8,3]=>[2,5,1]=>10100001=>4 [8,1,6,5,4,3,2,7]=>[1,8,3,4,5,6,7,2]=>[2,5,1]=>10100001=>4 [2,6,8,1,5,4,3,7]=>[7,3,1,8,4,5,6,2]=>[1,1,2,3,1]=>11101001=>4 [5,2,1,7,6,3,8,4]=>[4,7,8,2,3,6,1,5]=>[3,3,2]=>10010010=>5 [3,5,8,2,1,4,7,6]=>[6,4,1,7,8,5,2,3]=>[1,1,3,1,2]=>11100110=>3 [4,2,7,5,3,8,6,1]=>[5,7,2,4,6,1,3,8]=>[2,3,3]=>10100100=>5 [6,4,5,1,8,3,2,7]=>[3,5,4,8,1,6,7,2]=>[2,2,3,1]=>10101001=>6 [5,4,7,8,3,1,2,6]=>[4,5,2,1,6,8,7,3]=>[2,1,3,1,1]=>10110011=>4 [4,5,8,1,3,7,2,6]=>[5,4,1,8,6,2,7,3]=>[1,1,2,1,2,1]=>11101101=>4 [1,5,3,6,8,7,2,4]=>[8,4,6,3,1,2,7,5]=>[1,2,1,3,1]=>11011001=>4 [7,6,2,8,1,4,3,5]=>[2,3,7,1,8,5,6,4]=>[3,2,2,1]=>10010101=>6 [4,7,2,6,8,3,5,1]=>[5,2,7,3,1,6,4,8]=>[1,2,1,2,2]=>11011010=>5 [6,3,2,8,7,4,5,1]=>[3,6,7,1,2,5,4,8]=>[3,3,2]=>10010010=>5 [7,4,3,8,5,6,2,1]=>[2,5,6,1,4,3,7,8]=>[3,2,3]=>10010100=>5 [3,1,5,8,7,6,2,4]=>[6,8,4,1,2,3,7,5]=>[2,1,4,1]=>10110001=>4 [3,1,8,6,5,7,2,4]=>[6,8,1,3,4,2,7,5]=>[2,3,2,1]=>10100101=>6 [1,2,7,6,4,5,8,3]=>[8,7,2,3,5,4,1,6]=>[1,1,3,1,2]=>11100110=>3 [4,2,8,5,6,3,1,7]=>[5,7,1,4,3,6,8,2]=>[2,2,3,1]=>10101001=>6 [6,4,2,1,8,7,3,5]=>[3,5,7,8,1,2,6,4]=>[4,3,1]=>10001001=>4 [4,7,3,2,5,1,6,8]=>[5,2,6,7,4,8,3,1]=>[1,3,2,1,1]=>11001011=>4 [6,2,5,1,7,8,4,3]=>[3,7,4,8,2,1,5,6]=>[2,2,1,3]=>10101100=>5 [6,2,5,8,7,4,1,3]=>[3,7,4,1,2,5,8,6]=>[2,1,4,1]=>10110001=>4 [7,2,5,3,8,1,4,6]=>[2,7,4,6,1,8,5,3]=>[2,2,2,1,1]=>10101011=>6 [7,2,5,3,8,4,6,1]=>[2,7,4,6,1,5,3,8]=>[2,2,2,2]=>10101010=>7 [3,7,5,2,6,1,4,8]=>[6,2,4,7,3,8,5,1]=>[1,3,2,1,1]=>11001011=>4 [3,6,8,1,7,4,5,2]=>[6,3,1,8,2,5,4,7]=>[1,1,2,2,2]=>11101010=>5 [6,3,4,1,8,7,2,5]=>[3,6,5,8,1,2,7,4]=>[2,2,3,1]=>10101001=>6 [4,7,3,2,5,8,1,6]=>[5,2,6,7,4,1,8,3]=>[1,3,1,2,1]=>11001101=>4 [8,7,3,2,5,4,6,1]=>[1,2,6,7,4,5,3,8]=>[4,2,2]=>10001010=>5 [5,1,7,6,2,4,8,3]=>[4,8,2,3,7,5,1,6]=>[2,3,1,2]=>10100110=>5 [5,4,7,3,1,6,8,2]=>[4,5,2,6,8,3,1,7]=>[2,3,1,2]=>10100110=>5 [7,5,4,8,3,1,6,2]=>[2,4,5,1,6,8,3,7]=>[3,3,2]=>10010010=>5 [3,4,8,1,6,5,2,7]=>[6,5,1,8,3,4,7,2]=>[1,1,2,3,1]=>11101001=>4 [7,5,6,1,8,3,2,4]=>[2,4,3,8,1,6,7,5]=>[2,2,3,1]=>10101001=>6 [4,5,6,2,7,3,1,8]=>[5,4,3,7,2,6,8,1]=>[1,1,2,3,1]=>11101001=>4 [5,3,4,7,1,6,2,8]=>[4,6,5,2,8,3,7,1]=>[2,1,2,2,1]=>10110101=>6 [5,3,7,2,1,6,8,4]=>[4,6,2,7,8,3,1,5]=>[2,3,1,2]=>10100110=>5 [3,5,1,4,6,8,2,7]=>[6,4,8,5,3,1,7,2]=>[1,2,1,1,2,1]=>11011101=>4 [4,3,7,1,6,5,2,8]=>[5,6,2,8,3,4,7,1]=>[2,2,3,1]=>10101001=>6 [8,5,7,4,2,1,3,6]=>[1,4,2,5,7,8,6,3]=>[2,4,1,1]=>10100011=>4 [7,6,3,2,5,4,8,1]=>[2,3,6,7,4,5,1,8]=>[4,2,2]=>10001010=>5 [8,6,3,2,5,4,1,7]=>[1,3,6,7,4,5,8,2]=>[4,3,1]=>10001001=>4 [8,5,3,6,7,4,1,2]=>[1,4,6,3,2,5,8,7]=>[3,1,3,1]=>10011001=>4 [6,5,8,4,2,7,1,3]=>[3,4,1,5,7,2,8,6]=>[2,3,2,1]=>10100101=>6 [2,3,7,4,1,8,6,5]=>[7,6,2,5,8,1,3,4]=>[1,1,3,3]=>11100100=>3 [2,4,5,1,8,6,3,7]=>[7,5,4,8,1,3,6,2]=>[1,1,2,3,1]=>11101001=>4 [2,4,1,6,7,5,3,8]=>[7,5,8,3,2,4,6,1]=>[1,2,1,3,1]=>11011001=>4 [6,3,7,1,5,2,4,8]=>[3,6,2,8,4,7,5,1]=>[2,2,2,1,1]=>10101011=>6 [4,1,3,7,8,2,6,5]=>[5,8,6,2,1,7,3,4]=>[2,1,1,2,2]=>10111010=>5 [7,1,4,8,6,5,2,3]=>[2,8,5,1,3,4,7,6]=>[2,1,4,1]=>10110001=>4 [8,3,4,2,1,7,5,6]=>[1,6,5,7,8,2,4,3]=>[2,3,2,1]=>10100101=>6 [1,4,5,3,8,6,7,2]=>[8,5,4,6,1,3,2,7]=>[1,1,2,2,2]=>11101010=>5 [4,6,2,7,5,8,1,3]=>[5,3,7,2,4,1,8,6]=>[1,2,2,2,1]=>11010101=>6 [7,3,2,5,1,8,4,6]=>[2,6,7,4,8,1,5,3]=>[3,2,2,1]=>10010101=>6 [7,8,1,4,2,3,5,6]=>[2,1,8,5,7,6,4,3]=>[1,2,2,1,1,1]=>11010111=>4 [8,5,2,4,1,3,7,6]=>[1,4,7,5,8,6,2,3]=>[3,2,1,2]=>10010110=>5 [5,1,2,4,3,6,8,7]=>[4,8,7,5,6,3,1,2]=>[2,1,2,1,2]=>10110110=>5 [5,2,1,4,3,7,6,8]=>[4,7,8,5,6,2,3,1]=>[3,2,2,1]=>10010101=>6 [6,2,1,5,8,3,4,7]=>[3,7,8,4,1,6,5,2]=>[3,1,2,1,1]=>10011011=>4 [2,3,8,7,1,5,4,6]=>[7,6,1,2,8,4,5,3]=>[1,1,3,2,1]=>11100101=>4 [4,1,3,6,7,2,8,5]=>[5,8,6,3,2,7,1,4]=>[2,1,1,2,2]=>10111010=>5 [7,1,4,5,8,2,6,3]=>[2,8,5,4,1,7,3,6]=>[2,1,1,2,2]=>10111010=>5 [6,1,3,2,4,5,8,7]=>[3,8,6,7,5,4,1,2]=>[2,2,1,1,2]=>10101110=>5 [7,8,1,6,5,2,4,3]=>[2,1,8,3,4,7,5,6]=>[1,2,3,2]=>11010010=>5 [7,4,8,5,1,3,2,6]=>[2,5,1,4,8,6,7,3]=>[2,3,2,1]=>10100101=>6 [7,4,8,6,5,1,2,3]=>[2,5,1,3,4,8,7,6]=>[2,4,1,1]=>10100011=>4 [2,8,1,7,6,3,5,4]=>[7,1,8,2,3,6,4,5]=>[1,2,3,2]=>11010010=>5 [3,7,8,6,5,1,2,4]=>[6,2,1,3,4,8,7,5]=>[1,1,4,1,1]=>11100011=>2 [5,7,8,2,6,3,1,4]=>[4,2,1,7,3,6,8,5]=>[1,1,2,3,1]=>11101001=>4 [4,7,8,2,5,3,1,6]=>[5,2,1,7,4,6,8,3]=>[1,1,2,3,1]=>11101001=>4 [8,4,5,7,2,6,3,1]=>[1,5,4,2,7,3,6,8]=>[2,1,2,3]=>10110100=>5 [4,5,8,6,1,3,2,7]=>[5,4,1,3,8,6,7,2]=>[1,1,3,2,1]=>11100101=>4 [3,6,8,7,1,5,2,4]=>[6,3,1,2,8,4,7,5]=>[1,1,3,2,1]=>11100101=>4 [5,6,8,2,7,3,1,4]=>[4,3,1,7,2,6,8,5]=>[1,1,2,3,1]=>11101001=>4 [4,8,3,1,7,5,2,6]=>[5,1,6,8,2,4,7,3]=>[1,3,3,1]=>11001001=>4 [7,5,4,8,3,2,1,6]=>[2,4,5,1,6,7,8,3]=>[3,4,1]=>10010001=>4 [6,5,8,2,7,3,1,4]=>[3,4,1,7,2,6,8,5]=>[2,2,3,1]=>10101001=>6 [6,4,8,2,7,3,1,5]=>[3,5,1,7,2,6,8,4]=>[2,2,3,1]=>10101001=>6 [7,8,3,1,6,4,2,5]=>[2,1,6,8,3,5,7,4]=>[1,3,3,1]=>11001001=>4 [2,8,6,3,4,5,1,7]=>[7,1,3,6,5,4,8,2]=>[1,3,1,2,1]=>11001101=>4 [7,8,1,3,6,4,2,5]=>[2,1,8,6,3,5,7,4]=>[1,2,1,3,1]=>11011001=>4 [6,8,1,3,7,4,2,5]=>[3,1,8,6,2,5,7,4]=>[1,2,1,3,1]=>11011001=>4 [5,3,8,6,1,4,2,7]=>[4,6,1,3,8,5,7,2]=>[2,3,2,1]=>10100101=>6 [5,8,1,3,7,4,2,6]=>[4,1,8,6,2,5,7,3]=>[1,2,1,3,1]=>11011001=>4 [5,3,8,2,7,4,1,6]=>[4,6,1,7,2,5,8,3]=>[2,2,3,1]=>10101001=>6 [4,3,8,2,7,5,1,6]=>[5,6,1,7,2,4,8,3]=>[2,2,3,1]=>10101001=>6 [4,5,7,8,3,2,1,6]=>[5,4,2,1,6,7,8,3]=>[1,1,1,4,1]=>11110001=>2 [5,7,3,4,2,6,8,1]=>[4,2,6,5,7,3,1,8]=>[1,2,2,1,2]=>11010110=>5 [5,7,4,2,3,6,8,1]=>[4,2,5,7,6,3,1,8]=>[1,3,1,1,2]=>11001110=>3 [5,4,7,3,2,8,1,6]=>[4,5,2,6,7,1,8,3]=>[2,3,2,1]=>10100101=>6 [5,8,3,4,6,1,2,7]=>[4,1,6,5,3,8,7,2]=>[1,2,1,2,1,1]=>11011011=>4 [6,4,3,8,5,1,2,7]=>[3,5,6,1,4,8,7,2]=>[3,3,1,1]=>10010011=>4 [6,4,8,2,3,5,1,7]=>[3,5,1,7,6,4,8,2]=>[2,2,1,2,1]=>10101101=>6 [5,4,6,8,2,3,1,7]=>[4,5,3,1,7,6,8,2]=>[2,1,2,2,1]=>10110101=>6 [5,6,8,4,1,2,3,7]=>[4,3,1,5,8,7,6,2]=>[1,1,3,1,1,1]=>11100111=>2 [6,4,8,5,1,2,3,7]=>[3,5,1,4,8,7,6,2]=>[2,3,1,1,1]=>10100111=>4 [7,4,8,3,1,2,5,6]=>[2,5,1,6,8,7,4,3]=>[2,3,1,1,1]=>10100111=>4 [5,7,8,2,3,1,4,6]=>[4,2,1,7,6,8,5,3]=>[1,1,2,2,1,1]=>11101011=>4 [5,4,7,8,2,1,3,6]=>[4,5,2,1,7,8,6,3]=>[2,1,3,1,1]=>10110011=>4 [5,8,6,3,1,2,4,7]=>[4,1,3,6,8,7,5,2]=>[1,4,1,1,1]=>11000111=>2 [5,6,1,3,2,4,8,7]=>[4,3,8,6,7,5,1,2]=>[1,2,2,1,2]=>11010110=>5 [3,5,1,2,7,6,4,8]=>[6,4,8,7,2,3,5,1]=>[1,2,1,3,1]=>11011001=>4 [4,1,3,7,2,6,5,8]=>[5,8,6,2,7,3,4,1]=>[2,1,2,2,1]=>10110101=>6 [4,3,6,1,2,5,8,7]=>[5,6,3,8,7,4,1,2]=>[2,2,1,1,2]=>10101110=>5 [8,1,5,4,6,2,7,3]=>[1,8,4,5,3,7,2,6]=>[2,2,2,2]=>10101010=>7 [4,3,8,1,2,5,7,6]=>[5,6,1,8,7,4,2,3]=>[2,2,1,1,2]=>10101110=>5 [7,4,3,2,5,8,6,1]=>[2,5,6,7,4,1,3,8]=>[4,1,3]=>10001100=>3 [4,6,3,2,8,5,7,1]=>[5,3,6,7,1,4,2,8]=>[1,3,2,2]=>11001010=>5 [1,4,3,2,6,8,5,7]=>[8,5,6,7,3,1,4,2]=>[1,3,1,2,1]=>11001101=>4 [5,3,7,2,1,8,6,4]=>[4,6,2,7,8,1,3,5]=>[2,3,3]=>10100100=>5 [7,4,3,2,5,1,8,6]=>[2,5,6,7,4,8,1,3]=>[4,2,2]=>10001010=>5 [5,4,3,7,2,6,8,1]=>[4,5,6,2,7,3,1,8]=>[3,2,1,2]=>10010110=>5 [5,4,8,3,7,2,1,6]=>[4,5,1,6,2,7,8,3]=>[2,2,3,1]=>10101001=>6 [3,6,8,5,2,1,7,4]=>[6,3,1,4,7,8,2,5]=>[1,1,4,2]=>11100010=>3 [6,1,5,4,7,2,8,3]=>[3,8,4,5,2,7,1,6]=>[2,2,2,2]=>10101010=>7 [1,3,6,5,8,2,7,4]=>[8,6,3,4,1,7,2,5]=>[1,1,2,2,2]=>11101010=>5 [1,4,3,6,2,8,5,7]=>[8,5,6,3,7,1,4,2]=>[1,2,2,2,1]=>11010101=>6 [4,3,6,8,2,7,5,1]=>[5,6,3,1,7,2,4,8]=>[2,1,2,3]=>10110100=>5 [7,6,4,1,2,8,5,3]=>[2,3,5,8,7,1,4,6]=>[4,1,3]=>10001100=>3 [1,6,5,3,2,8,4,7]=>[8,3,4,6,7,1,5,2]=>[1,4,2,1]=>11000101=>4 [1,5,3,2,7,8,6,4]=>[8,4,6,7,2,1,3,5]=>[1,3,1,3]=>11001100=>3 [5,4,8,3,2,7,1,6]=>[4,5,1,6,7,2,8,3]=>[2,3,2,1]=>10100101=>6 [5,4,3,7,2,1,6,8]=>[4,5,6,2,7,8,3,1]=>[3,3,1,1]=>10010011=>4 [1,6,5,4,7,2,8,3]=>[8,3,4,5,2,7,1,6]=>[1,3,2,2]=>11001010=>5 [3,6,5,7,2,1,8,4]=>[6,3,4,2,7,8,1,5]=>[1,2,3,2]=>11010010=>5 [5,4,3,7,8,2,1,6]=>[4,5,6,2,1,7,8,3]=>[3,1,3,1]=>10011001=>4 [3,4,5,6,7,8,2,9,1]=>[7,6,5,4,3,2,8,1,9]=>[1,1,1,1,1,2,2]=>111111010=>3 [1,4,8,6,3,2,7,5]=>[8,5,1,3,6,7,2,4]=>[1,1,4,2]=>11100010=>3 [2,8,3,6,5,4,1,7]=>[7,1,6,3,4,5,8,2]=>[1,2,4,1]=>11010001=>4 [4,1,8,6,2,5,7,3]=>[5,8,1,3,7,4,2,6]=>[2,3,1,2]=>10100110=>5 [4,7,6,2,5,1,8,3]=>[5,2,3,7,4,8,1,6]=>[1,3,2,2]=>11001010=>5 [1,5,7,4,6,2,8,3]=>[8,4,2,5,3,7,1,6]=>[1,1,2,2,2]=>11101010=>5 [1,3,5,2,8,6,4,7]=>[8,6,4,7,1,3,5,2]=>[1,1,2,3,1]=>11101001=>4 [6,2,8,1,7,4,5,3]=>[3,7,1,8,2,5,4,6]=>[2,2,2,2]=>10101010=>7 [1,7,6,3,8,4,2,5]=>[8,2,3,6,1,5,7,4]=>[1,3,3,1]=>11001001=>4 [5,2,4,6,8,3,1,7]=>[4,7,5,3,1,6,8,2]=>[2,1,1,3,1]=>10111001=>4 [6,1,2,3,5,4,8,7]=>[3,8,7,6,4,5,1,2]=>[2,1,1,2,2]=>10111010=>5 [2,5,4,3,7,8,1,6]=>[7,4,5,6,2,1,8,3]=>[1,3,1,2,1]=>11001101=>4 [5,4,1,6,8,3,7,2]=>[4,5,8,3,1,6,2,7]=>[3,1,2,2]=>10011010=>5 [7,1,6,8,3,5,4,2]=>[2,8,3,1,6,4,5,7]=>[2,1,2,3]=>10110100=>5 [2,6,3,1,5,8,7,4]=>[7,3,6,8,4,1,2,5]=>[1,3,1,3]=>11001100=>3 [7,2,1,4,8,6,3,5]=>[2,7,8,5,1,3,6,4]=>[3,1,3,1]=>10011001=>4 [1,6,2,3,5,4,8,7]=>[8,3,7,6,4,5,1,2]=>[1,2,1,2,2]=>11011010=>5 [7,3,1,2,5,6,8,4]=>[2,6,8,7,4,3,1,5]=>[3,1,1,1,2]=>10011110=>3 [2,7,1,3,4,6,8,5]=>[7,2,8,6,5,3,1,4]=>[1,2,1,1,1,2]=>11011110=>3 [8,7,5,4,3,6,2,9,1]=>[2,3,5,6,7,4,8,1,9]=>[5,2,2]=>100001010=>5 [6,1,3,5,8,7,4,2]=>[3,8,6,4,1,2,5,7]=>[2,1,1,4]=>10111000=>3 [3,5,8,7,4,6,2,1]=>[6,4,1,2,5,3,7,8]=>[1,1,3,3]=>11100100=>3 [6,8,5,7,3,4,2,1]=>[3,1,4,2,6,5,7,8]=>[1,2,2,3]=>11010100=>5 [5,3,6,8,4,2,1,7]=>[4,6,3,1,5,7,8,2]=>[2,1,4,1]=>10110001=>4 [5,1,6,8,4,7,3,2]=>[4,8,3,1,5,2,6,7]=>[2,1,2,3]=>10110100=>5 [2,4,1,8,7,6,3,5]=>[7,5,8,1,2,3,6,4]=>[1,2,4,1]=>11010001=>4 [1,3,5,8,4,7,2,6]=>[8,6,4,1,5,2,7,3]=>[1,1,1,2,2,1]=>11110101=>4 [2,3,8,7,5,1,6,4]=>[7,6,1,2,4,8,3,5]=>[1,1,4,2]=>11100010=>3 [8,5,4,7,6,1,3,2]=>[1,4,5,2,3,8,6,7]=>[3,3,2]=>10010010=>5 [5,8,7,2,4,1,3,6]=>[4,1,2,7,5,8,6,3]=>[1,3,2,1,1]=>11001011=>4 [4,1,3,5,6,2,8,7]=>[5,8,6,4,3,7,1,2]=>[2,1,1,2,2]=>10111010=>5 [6,3,8,5,1,7,4,2]=>[3,6,1,4,8,2,5,7]=>[2,3,3]=>10100100=>5 [8,2,4,6,1,3,7,5]=>[1,7,5,3,8,6,2,4]=>[2,1,2,1,2]=>10110110=>5 [6,4,8,7,3,5,2,1]=>[3,5,1,2,6,4,7,8]=>[2,3,3]=>10100100=>5 [8,2,3,5,6,1,4,7]=>[1,7,6,4,3,8,5,2]=>[2,1,1,2,1,1]=>10111011=>4 [4,3,5,6,8,2,7,1]=>[5,6,4,3,1,7,2,8]=>[2,1,1,2,2]=>10111010=>5 [8,2,3,4,6,1,7,5]=>[1,7,6,5,3,8,2,4]=>[2,1,1,2,2]=>10111010=>5 [1,7,4,3,5,2,8,6]=>[8,2,5,6,4,7,1,3]=>[1,3,2,2]=>11001010=>5 [2,7,4,3,8,1,5,6]=>[7,2,5,6,1,8,4,3]=>[1,3,2,1,1]=>11001011=>4 [3,8,2,7,6,4,1,5]=>[6,1,7,2,3,5,8,4]=>[1,2,4,1]=>11010001=>4 [5,3,6,2,1,8,4,7]=>[4,6,3,7,8,1,5,2]=>[2,3,2,1]=>10100101=>6 [4,3,8,6,2,7,1,5]=>[5,6,1,3,7,2,8,4]=>[2,3,2,1]=>10100101=>6 [3,1,6,8,2,7,5,4]=>[6,8,3,1,7,2,4,5]=>[2,1,2,3]=>10110100=>5 [5,3,8,6,7,2,1,4]=>[4,6,1,3,2,7,8,5]=>[2,2,3,1]=>10101001=>6 [5,8,7,2,4,6,1,3]=>[4,1,2,7,5,3,8,6]=>[1,3,1,2,1]=>11001101=>4 [1,5,2,8,7,6,4,3]=>[8,4,7,1,2,3,5,6]=>[1,2,5]=>11010000=>3 [2,7,1,4,6,5,3,8]=>[7,2,8,5,3,4,6,1]=>[1,2,1,3,1]=>11011001=>4 [4,7,1,2,6,5,8,3]=>[5,2,8,7,3,4,1,6]=>[1,2,1,2,2]=>11011010=>5 [4,2,5,6,8,7,3,1]=>[5,7,4,3,1,2,6,8]=>[2,1,1,4]=>10111000=>3 [6,5,8,3,7,4,2,1]=>[3,4,1,6,2,5,7,8]=>[2,2,4]=>10101000=>5 [8,2,5,1,6,3,7,4]=>[1,7,4,8,3,6,2,5]=>[2,2,2,2]=>10101010=>7 [8,3,4,5,1,6,7,2]=>[1,6,5,4,8,3,2,7]=>[2,1,2,1,2]=>10110110=>5 [1,7,8,3,2,5,4,6]=>[8,2,1,6,7,4,5,3]=>[1,1,3,2,1]=>11100101=>4 [7,8,1,3,5,4,6,2]=>[2,1,8,6,4,5,3,7]=>[1,2,1,2,2]=>11011010=>5 [7,8,1,3,5,2,4,6]=>[2,1,8,6,4,7,5,3]=>[1,2,1,2,1,1]=>11011011=>4 [1,3,7,8,5,2,4,6]=>[8,6,2,1,4,7,5,3]=>[1,1,1,3,1,1]=>11110011=>2 [1,7,8,3,5,2,6,4]=>[8,2,1,6,4,7,3,5]=>[1,1,2,2,2]=>11101010=>5 [1,7,8,3,2,5,6,4]=>[8,2,1,6,7,4,3,5]=>[1,1,3,1,2]=>11100110=>3 [3,5,7,6,4,8,1,2]=>[6,4,2,3,5,1,8,7]=>[1,1,3,2,1]=>11100101=>4 [1,3,7,8,5,4,6,2]=>[8,6,2,1,4,5,3,7]=>[1,1,1,3,2]=>11110010=>3 [1,3,7,8,5,4,2,6]=>[8,6,2,1,4,5,7,3]=>[1,1,1,4,1]=>11110001=>2 [1,3,7,8,2,5,4,6]=>[8,6,2,1,7,4,5,3]=>[1,1,1,2,2,1]=>11110101=>4 [1,3,2,7,8,5,4,6]=>[8,6,7,2,1,4,5,3]=>[1,2,1,3,1]=>11011001=>4 [1,5,7,6,8,3,2,4]=>[8,4,2,3,1,6,7,5]=>[1,1,2,3,1]=>11101001=>4 [3,5,4,7,8,6,1,2]=>[6,4,5,2,1,3,8,7]=>[1,2,1,3,1]=>11011001=>4 [3,5,7,6,8,4,1,2]=>[6,4,2,3,1,5,8,7]=>[1,1,2,3,1]=>11101001=>4 [1,5,7,6,8,3,4,2]=>[8,4,2,3,1,6,5,7]=>[1,1,2,2,2]=>11101010=>5 [3,5,7,4,6,8,1,2]=>[6,4,2,5,3,1,8,7]=>[1,1,2,1,2,1]=>11101101=>4 [6,1,4,3,2,5,8,7]=>[3,8,5,6,7,4,1,2]=>[2,3,1,2]=>10100110=>5 [7,4,2,1,3,6,5,8]=>[2,5,7,8,6,3,4,1]=>[4,1,2,1]=>10001101=>4 [6,5,8,4,3,7,1,2]=>[3,4,1,5,6,2,8,7]=>[2,3,2,1]=>10100101=>6 [5,3,6,7,8,4,1,2]=>[4,6,3,2,1,5,8,7]=>[2,1,1,3,1]=>10111001=>4 [3,7,8,4,6,5,1,2]=>[6,2,1,5,3,4,8,7]=>[1,1,2,3,1]=>11101001=>4 [5,2,7,6,3,8,1,4]=>[4,7,2,3,6,1,8,5]=>[2,3,2,1]=>10100101=>6 [6,2,5,7,1,8,4,3]=>[3,7,4,2,8,1,5,6]=>[2,1,2,3]=>10110100=>5 [1,8,3,2,4,6,5,7]=>[8,1,6,7,5,3,4,2]=>[1,3,1,2,1]=>11001101=>4 [5,8,6,2,3,7,1,4]=>[4,1,3,7,6,2,8,5]=>[1,3,1,2,1]=>11001101=>4 [1,4,8,3,6,7,2,5]=>[8,5,1,6,3,2,7,4]=>[1,1,2,1,2,1]=>11101101=>4 [6,7,3,1,5,2,4,8]=>[3,2,6,8,4,7,5,1]=>[1,3,2,1,1]=>11001011=>4 [3,5,6,7,2,1,8,4]=>[6,4,3,2,7,8,1,5]=>[1,1,1,3,2]=>11110010=>3 [6,2,8,5,3,1,4,7]=>[3,7,1,4,6,8,5,2]=>[2,4,1,1]=>10100011=>4 [2,1,7,4,3,8,5,6]=>[7,8,2,5,6,1,4,3]=>[2,3,2,1]=>10100101=>6 [1,4,2,8,3,6,7,5]=>[8,5,7,1,6,3,2,4]=>[1,2,2,1,2]=>11010110=>5 [6,5,1,3,4,7,8,2]=>[3,4,8,6,5,2,1,7]=>[3,1,1,1,2]=>10011110=>3 [7,2,3,8,5,4,1,6]=>[2,7,6,1,4,5,8,3]=>[2,1,4,1]=>10110001=>4 [3,4,1,7,8,2,6,5]=>[6,5,8,2,1,7,3,4]=>[1,2,1,2,2]=>11011010=>5 [7,8,3,1,4,5,6,2]=>[2,1,6,8,5,4,3,7]=>[1,3,1,1,2]=>11001110=>3 [5,8,1,4,3,7,6,2]=>[4,1,8,5,6,2,3,7]=>[1,2,2,3]=>11010100=>5 [3,7,1,5,6,4,8,2]=>[6,2,8,4,3,5,1,7]=>[1,2,1,2,2]=>11011010=>5 [6,1,8,7,3,2,5,4]=>[3,8,1,2,6,7,4,5]=>[2,4,2]=>10100010=>5 [4,1,5,2,7,8,6,3]=>[5,8,4,7,2,1,3,6]=>[2,2,1,3]=>10101100=>5 [7,8,1,5,6,2,4,3]=>[2,1,8,4,3,7,5,6]=>[1,2,1,2,2]=>11011010=>5 [4,1,5,7,6,3,8,2]=>[5,8,4,2,3,6,1,7]=>[2,1,3,2]=>10110010=>5 [1,4,8,2,3,6,5,7]=>[8,5,1,7,6,3,4,2]=>[1,1,2,1,2,1]=>11101101=>4 [1,4,7,3,2,6,5,8]=>[8,5,2,6,7,3,4,1]=>[1,1,3,2,1]=>11100101=>4 [1,4,6,7,3,5,2,8]=>[8,5,3,2,6,4,7,1]=>[1,1,1,2,2,1]=>11110101=>4 [1,5,3,4,8,2,7,6]=>[8,4,6,5,1,7,2,3]=>[1,2,1,2,2]=>11011010=>5 [1,4,8,2,6,7,5,3]=>[8,5,1,7,3,2,4,6]=>[1,1,2,1,3]=>11101100=>3 [1,4,7,8,2,3,6,5]=>[8,5,2,1,7,6,3,4]=>[1,1,1,2,1,2]=>11110110=>3 [2,8,3,5,7,1,4,6]=>[7,1,6,4,2,8,5,3]=>[1,2,1,2,1,1]=>11011011=>4 [1,7,3,2,4,5,6,8]=>[8,2,6,7,5,4,3,1]=>[1,3,1,1,1,1]=>11001111=>2 [7,4,6,2,3,1,5,8]=>[2,5,3,7,6,8,4,1]=>[2,2,2,1,1]=>10101011=>6 [6,1,4,7,8,3,2,5]=>[3,8,5,2,1,6,7,4]=>[2,1,1,3,1]=>10111001=>4 [1,7,3,2,4,5,8,6]=>[8,2,6,7,5,4,1,3]=>[1,3,1,1,2]=>11001110=>3 [1,4,8,7,3,2,6,5]=>[8,5,1,2,6,7,3,4]=>[1,1,4,2]=>11100010=>3 [4,2,6,5,3,1,7,8]=>[5,7,3,4,6,8,2,1]=>[2,4,1,1]=>10100011=>4 [6,5,2,3,4,1,8,7]=>[3,4,7,6,5,8,1,2]=>[3,1,2,2]=>10011010=>5 [5,2,1,6,8,7,4,3]=>[4,7,8,3,1,2,5,6]=>[3,1,4]=>10011000=>3 [1,3,5,8,6,2,7,4]=>[8,6,4,1,3,7,2,5]=>[1,1,1,3,2]=>11110010=>3 [2,3,8,4,1,7,6,5]=>[7,6,1,5,8,2,3,4]=>[1,1,3,3]=>11100100=>3 [2,5,1,7,8,4,3,6]=>[7,4,8,2,1,5,6,3]=>[1,2,1,3,1]=>11011001=>4 [4,7,5,2,3,1,6,8]=>[5,2,4,7,6,8,3,1]=>[1,3,2,1,1]=>11001011=>4 [8,3,2,7,5,6,1,4]=>[1,6,7,2,4,3,8,5]=>[3,2,2,1]=>10010101=>6 [3,6,7,4,1,5,2,8]=>[6,3,2,5,8,4,7,1]=>[1,1,3,2,1]=>11100101=>4 [3,5,7,1,6,2,8,4]=>[6,4,2,8,3,7,1,5]=>[1,1,2,2,2]=>11101010=>5 [1,3,8,5,7,4,2,6]=>[8,6,1,4,2,5,7,3]=>[1,1,2,3,1]=>11101001=>4 [1,2,3,7,5,4,6,8]=>[8,7,6,2,4,5,3,1]=>[1,1,1,3,1,1]=>11110011=>2 [1,7,6,5,3,4,2,8]=>[8,2,3,4,6,5,7,1]=>[1,4,2,1]=>11000101=>4 [2,3,8,6,5,4,1,7]=>[7,6,1,3,4,5,8,2]=>[1,1,5,1]=>11100001=>2 [2,8,6,3,5,7,4,1]=>[7,1,3,6,4,2,5,8]=>[1,3,1,3]=>11001100=>3 [2,6,7,4,3,1,8,5]=>[7,3,2,5,6,8,1,4]=>[1,1,4,2]=>11100010=>3 [2,8,6,7,4,1,5,3]=>[7,1,3,2,5,8,4,6]=>[1,2,3,2]=>11010010=>5 [6,1,8,2,5,3,4,7]=>[3,8,1,7,4,6,5,2]=>[2,2,2,1,1]=>10101011=>6 [2,6,1,5,7,3,4,8]=>[7,3,8,4,2,6,5,1]=>[1,2,1,2,1,1]=>11011011=>4 [3,6,1,5,2,7,4,8]=>[6,3,8,4,7,2,5,1]=>[1,2,2,2,1]=>11010101=>6 [3,8,6,4,2,7,1,5]=>[6,1,3,5,7,2,8,4]=>[1,4,2,1]=>11000101=>4 [3,8,6,2,1,7,5,4]=>[6,1,3,7,8,2,4,5]=>[1,4,3]=>11000100=>3 [1,8,2,5,7,4,6,3]=>[8,1,7,4,2,5,3,6]=>[1,2,1,2,2]=>11011010=>5 [5,2,4,8,3,1,7,6]=>[4,7,5,1,6,8,2,3]=>[2,1,3,2]=>10110010=>5 [2,5,8,4,3,1,6,7]=>[7,4,1,5,6,8,3,2]=>[1,1,4,1,1]=>11100011=>2 [4,1,8,7,2,5,6,3]=>[5,8,1,2,7,4,3,6]=>[2,3,1,2]=>10100110=>5 [6,1,5,2,3,4,8,7]=>[3,8,4,7,6,5,1,2]=>[2,2,1,1,2]=>10101110=>5 [4,2,1,8,5,3,7,6]=>[5,7,8,1,4,6,2,3]=>[3,3,2]=>10010010=>5 [2,5,8,7,6,4,1,3]=>[7,4,1,2,3,5,8,6]=>[1,1,5,1]=>11100001=>2 [6,5,2,1,7,3,4,8]=>[3,4,7,8,2,6,5,1]=>[4,2,1,1]=>10001011=>4 [5,2,6,8,7,3,1,4]=>[4,7,3,1,2,6,8,5]=>[2,1,4,1]=>10110001=>4 [3,1,2,8,6,7,5,4]=>[6,8,7,1,3,2,4,5]=>[2,1,2,3]=>10110100=>5 [3,1,2,4,8,6,7,5]=>[6,8,7,5,1,3,2,4]=>[2,1,1,2,2]=>10111010=>5 [6,5,2,1,8,4,7,3]=>[3,4,7,8,1,5,2,6]=>[4,2,2]=>10001010=>5 [5,6,2,4,3,8,1,7]=>[4,3,7,5,6,1,8,2]=>[1,2,2,2,1]=>11010101=>6 [3,7,5,2,8,1,4,6]=>[6,2,4,7,1,8,5,3]=>[1,3,2,1,1]=>11001011=>4 [5,1,4,7,3,2,8,6]=>[4,8,5,2,6,7,1,3]=>[2,1,3,2]=>10110010=>5 [2,3,5,4,8,6,1,7]=>[7,6,4,5,1,3,8,2]=>[1,1,2,3,1]=>11101001=>4 [2,3,5,7,4,8,1,6]=>[7,6,4,2,5,1,8,3]=>[1,1,1,2,2,1]=>11110101=>4 [2,3,7,6,1,5,8,4]=>[7,6,2,3,8,4,1,5]=>[1,1,3,1,2]=>11100110=>3 [8,3,2,4,1,7,6,5]=>[1,6,7,5,8,2,3,4]=>[3,2,3]=>10010100=>5 [3,7,6,1,2,5,8,4]=>[6,2,3,8,7,4,1,5]=>[1,3,1,1,2]=>11001110=>3 [4,7,1,6,8,5,3,2]=>[5,2,8,3,1,4,6,7]=>[1,2,1,4]=>11011000=>3 [4,1,8,6,3,5,2,7]=>[5,8,1,3,6,4,7,2]=>[2,3,2,1]=>10100101=>6 [4,1,5,8,6,2,3,7]=>[5,8,4,1,3,7,6,2]=>[2,1,3,1,1]=>10110011=>4 [5,3,4,6,2,8,7,1]=>[4,6,5,3,7,1,2,8]=>[2,1,2,3]=>10110100=>5 [5,4,8,6,3,7,1,2]=>[4,5,1,3,6,2,8,7]=>[2,3,2,1]=>10100101=>6 [5,7,3,4,8,2,6,1]=>[4,2,6,5,1,7,3,8]=>[1,2,1,2,2]=>11011010=>5 [6,5,2,3,7,4,1,8]=>[3,4,7,6,2,5,8,1]=>[3,1,3,1]=>10011001=>4 [6,5,2,3,1,8,7,4]=>[3,4,7,6,8,1,2,5]=>[3,2,3]=>10010100=>5 [6,5,3,7,4,1,2,8]=>[3,4,6,2,5,8,7,1]=>[3,3,1,1]=>10010011=>4 [6,4,7,5,3,8,1,2]=>[3,5,2,4,6,1,8,7]=>[2,3,2,1]=>10100101=>6 [5,7,6,4,8,3,1,2]=>[4,2,3,5,1,6,8,7]=>[1,3,3,1]=>11001001=>4 [5,7,4,8,3,1,6,2]=>[4,2,5,1,6,8,3,7]=>[1,2,3,2]=>11010010=>5 [3,1,4,7,5,2,8,6]=>[6,8,5,2,4,7,1,3]=>[2,1,3,2]=>10110010=>5 [3,1,5,4,8,6,2,7]=>[6,8,4,5,1,3,7,2]=>[2,2,3,1]=>10101001=>6 [3,1,7,5,4,6,2,8]=>[6,8,2,4,5,3,7,1]=>[2,3,2,1]=>10100101=>6 [2,5,6,3,7,4,1,8]=>[7,4,3,6,2,5,8,1]=>[1,1,2,3,1]=>11101001=>4 [4,3,1,7,5,6,2,8]=>[5,6,8,2,4,3,7,1]=>[3,2,2,1]=>10010101=>6 [4,3,1,5,8,6,2,7]=>[5,6,8,4,1,3,7,2]=>[3,1,3,1]=>10011001=>4 [4,3,5,1,8,7,2,6]=>[5,6,4,8,1,2,7,3]=>[2,2,3,1]=>10101001=>6 [2,5,3,6,1,8,4,7]=>[7,4,6,3,8,1,5,2]=>[1,2,2,2,1]=>11010101=>6 [2,5,6,4,1,8,3,7]=>[7,4,3,5,8,1,6,2]=>[1,1,3,2,1]=>11100101=>4 [4,6,2,1,5,7,3,8]=>[5,3,7,8,4,2,6,1]=>[1,3,1,2,1]=>11001101=>4 [6,4,2,7,8,3,1,5]=>[3,5,7,2,1,6,8,4]=>[3,1,3,1]=>10011001=>4 [2,5,6,7,4,1,8,3]=>[7,4,3,2,5,8,1,6]=>[1,1,1,3,2]=>11110010=>3 [2,5,6,8,3,1,7,4]=>[7,4,3,1,6,8,2,5]=>[1,1,1,3,2]=>11110010=>3 [7,1,4,5,3,6,2,8]=>[2,8,5,4,6,3,7,1]=>[2,1,2,2,1]=>10110101=>6 [1,7,2,4,5,3,6,8]=>[8,2,7,5,4,6,3,1]=>[1,2,1,2,1,1]=>11011011=>4 [1,7,4,5,3,2,6,8]=>[8,2,5,4,6,7,3,1]=>[1,2,3,1,1]=>11010011=>4 [1,5,2,6,7,4,3,8]=>[8,4,7,3,2,5,6,1]=>[1,2,1,3,1]=>11011001=>4 [8,5,6,1,4,3,7,2]=>[1,4,3,8,5,6,2,7]=>[2,2,2,2]=>10101010=>7 [2,5,4,7,8,3,1,6]=>[7,4,5,2,1,6,8,3]=>[1,2,1,3,1]=>11011001=>4 [5,6,4,8,2,1,3,7]=>[4,3,5,1,7,8,6,2]=>[1,2,3,1,1]=>11010011=>4 [7,5,8,1,4,6,3,2]=>[2,4,1,8,5,3,6,7]=>[2,2,1,3]=>10101100=>5 [4,2,6,7,8,1,5,3]=>[5,7,3,2,1,8,4,6]=>[2,1,1,2,2]=>10111010=>5 [4,7,8,2,5,1,6,3]=>[5,2,1,7,4,8,3,6]=>[1,1,2,2,2]=>11101010=>5 [3,4,6,7,8,1,5,2]=>[6,5,3,2,1,8,4,7]=>[1,1,1,1,2,2]=>11111010=>3 [2,5,3,7,8,1,4,6]=>[7,4,6,2,1,8,5,3]=>[1,2,1,2,1,1]=>11011011=>4 [5,6,3,8,1,2,4,7]=>[4,3,6,1,8,7,5,2]=>[1,2,2,1,1,1]=>11010111=>4 [4,7,3,8,5,1,6,2]=>[5,2,6,1,4,8,3,7]=>[1,2,3,2]=>11010010=>5 [4,3,2,7,5,8,1,6]=>[5,6,7,2,4,1,8,3]=>[3,2,2,1]=>10010101=>6 [4,8,5,3,2,6,1,7]=>[5,1,4,6,7,3,8,2]=>[1,4,2,1]=>11000101=>4 [2,8,4,5,3,6,1,7]=>[7,1,5,4,6,3,8,2]=>[1,2,2,2,1]=>11010101=>6 [8,1,5,3,2,4,7,6]=>[1,8,4,6,7,5,2,3]=>[2,3,1,2]=>10100110=>5 [8,6,1,3,2,7,4,5]=>[1,3,8,6,7,2,5,4]=>[3,2,2,1]=>10010101=>6 [7,3,8,2,4,1,6,5]=>[2,6,1,7,5,8,3,4]=>[2,2,2,2]=>10101010=>7 [6,2,3,7,8,1,5,4]=>[3,7,6,2,1,8,4,5]=>[2,1,1,2,2]=>10111010=>5 [2,6,3,7,8,1,5,4]=>[7,3,6,2,1,8,4,5]=>[1,2,1,2,2]=>11011010=>5 [7,5,8,1,6,4,2,3]=>[2,4,1,8,3,5,7,6]=>[2,2,3,1]=>10101001=>6 [1,4,7,3,8,5,2,6]=>[8,5,2,6,1,4,7,3]=>[1,1,2,3,1]=>11101001=>4 [8,1,4,3,7,5,6,2]=>[1,8,5,6,2,4,3,7]=>[2,2,2,2]=>10101010=>7 [1,4,8,5,3,2,6,7]=>[8,5,1,4,6,7,3,2]=>[1,1,4,1,1]=>11100011=>2 [8,2,7,6,4,1,5,3]=>[1,7,2,3,5,8,4,6]=>[2,4,2]=>10100010=>5 [2,7,4,3,8,5,1,6]=>[7,2,5,6,1,4,8,3]=>[1,3,3,1]=>11001001=>4 [5,2,1,7,8,4,3,6]=>[4,7,8,2,1,5,6,3]=>[3,1,3,1]=>10011001=>4 [2,7,1,8,6,4,5,3]=>[7,2,8,1,3,5,4,6]=>[1,2,3,2]=>11010010=>5 [2,4,7,6,3,8,5,1]=>[7,5,2,3,6,1,4,8]=>[1,1,3,3]=>11100100=>3 [7,2,6,1,8,3,5,4]=>[2,7,3,8,1,6,4,5]=>[2,2,2,2]=>10101010=>7 [6,8,2,7,3,1,5,4]=>[3,1,7,2,6,8,4,5]=>[1,2,3,2]=>11010010=>5 [6,8,1,4,7,5,3,2]=>[3,1,8,5,2,4,6,7]=>[1,2,1,4]=>11011000=>3 [7,6,1,2,8,5,3,4]=>[2,3,8,7,1,4,6,5]=>[3,1,3,1]=>10011001=>4 [7,3,1,8,4,6,5,2]=>[2,6,8,1,5,3,4,7]=>[3,2,3]=>10010100=>5 [8,2,6,3,4,1,7,5]=>[1,7,3,6,5,8,2,4]=>[2,2,2,2]=>10101010=>7 [6,1,2,8,5,3,7,4]=>[3,8,7,1,4,6,2,5]=>[2,1,3,2]=>10110010=>5 [4,1,8,7,3,5,6,2]=>[5,8,1,2,6,4,3,7]=>[2,3,1,2]=>10100110=>5 [4,1,5,8,3,6,7,2]=>[5,8,4,1,6,3,2,7]=>[2,1,2,1,2]=>10110110=>5 [4,7,2,6,8,3,1,5]=>[5,2,7,3,1,6,8,4]=>[1,2,1,3,1]=>11011001=>4 [7,5,2,8,1,6,3,4]=>[2,4,7,1,8,3,6,5]=>[3,2,2,1]=>10010101=>6 [4,8,5,7,1,3,2,6]=>[5,1,4,2,8,6,7,3]=>[1,2,2,2,1]=>11010101=>6 [3,4,7,2,1,5,8,6]=>[6,5,2,7,8,4,1,3]=>[1,1,3,1,2]=>11100110=>3 [4,8,2,7,1,3,6,5]=>[5,1,7,2,8,6,3,4]=>[1,2,2,1,2]=>11010110=>5 [5,2,1,8,7,4,6,3]=>[4,7,8,1,2,5,3,6]=>[3,3,2]=>10010010=>5 [8,2,1,7,4,6,3,5]=>[1,7,8,2,5,3,6,4]=>[3,2,2,1]=>10010101=>6 [4,2,5,8,3,6,7,1]=>[5,7,4,1,6,3,2,8]=>[2,1,2,1,2]=>10110110=>5 [5,1,6,8,3,2,7,4]=>[4,8,3,1,6,7,2,5]=>[2,1,3,2]=>10110010=>5 [4,1,5,6,8,2,7,3]=>[5,8,4,3,1,7,2,6]=>[2,1,1,2,2]=>10111010=>5 [4,7,8,3,1,2,5,6]=>[5,2,1,6,8,7,4,3]=>[1,1,3,1,1,1]=>11100111=>2 [5,7,8,2,4,1,3,6]=>[4,2,1,7,5,8,6,3]=>[1,1,2,2,1,1]=>11101011=>4 [5,8,2,3,6,4,7,1]=>[4,1,7,6,3,5,2,8]=>[1,2,1,2,2]=>11011010=>5 [4,5,7,6,8,2,3,1]=>[5,4,2,3,1,7,6,8]=>[1,1,2,2,2]=>11101010=>5 [4,8,5,3,1,6,7,2]=>[5,1,4,6,8,3,2,7]=>[1,4,1,2]=>11000110=>3 [6,2,3,1,7,8,5,4]=>[3,7,6,8,2,1,4,5]=>[2,2,1,3]=>10101100=>5 [5,2,3,6,8,4,7,1]=>[4,7,6,3,1,5,2,8]=>[2,1,1,2,2]=>10111010=>5 [6,2,1,7,8,4,3,5]=>[3,7,8,2,1,5,6,4]=>[3,1,3,1]=>10011001=>4 [5,2,1,3,8,4,7,6]=>[4,7,8,6,1,5,2,3]=>[3,1,2,2]=>10011010=>5 [5,2,7,8,4,1,6,3]=>[4,7,2,1,5,8,3,6]=>[2,1,3,2]=>10110010=>5 [5,2,8,6,4,1,7,3]=>[4,7,1,3,5,8,2,6]=>[2,4,2]=>10100010=>5 [8,1,7,3,2,4,6,5]=>[1,8,2,6,7,5,3,4]=>[2,3,1,2]=>10100110=>5 [5,1,2,8,4,3,7,6]=>[4,8,7,1,5,6,2,3]=>[2,1,3,2]=>10110010=>5 [5,7,8,3,4,1,6,2]=>[4,2,1,6,5,8,3,7]=>[1,1,2,2,2]=>11101010=>5 [6,7,8,3,2,5,4,1]=>[3,2,1,6,7,4,5,8]=>[1,1,3,3]=>11100100=>3 [5,7,2,6,4,8,1,3]=>[4,2,7,3,5,1,8,6]=>[1,2,2,2,1]=>11010101=>6 [6,2,3,4,7,8,5,1]=>[3,7,6,5,2,1,4,8]=>[2,1,1,1,3]=>10111100=>3 [6,2,1,3,7,5,8,4]=>[3,7,8,6,2,4,1,5]=>[3,1,2,2]=>10011010=>5 [6,2,3,7,8,1,4,5]=>[3,7,6,2,1,8,5,4]=>[2,1,1,2,1,1]=>10111011=>4 [7,4,3,2,5,8,1,6]=>[2,5,6,7,4,1,8,3]=>[4,1,2,1]=>10001101=>4 [1,3,7,4,2,5,6,8]=>[8,6,2,5,7,4,3,1]=>[1,1,3,1,1,1]=>11100111=>2 [1,3,8,6,4,2,7,5]=>[8,6,1,3,5,7,2,4]=>[1,1,4,2]=>11100010=>3 [1,3,5,8,4,2,7,6]=>[8,6,4,1,5,7,2,3]=>[1,1,1,3,2]=>11110010=>3 [1,3,8,4,5,2,7,6]=>[8,6,1,5,4,7,2,3]=>[1,1,2,2,2]=>11101010=>5 [1,7,6,2,3,5,4,8]=>[8,2,3,7,6,4,5,1]=>[1,3,1,2,1]=>11001101=>4 [1,7,6,4,2,3,5,8]=>[8,2,3,5,7,6,4,1]=>[1,4,1,1,1]=>11000111=>2 [1,3,2,5,8,6,4,7]=>[8,6,7,4,1,3,5,2]=>[1,2,1,3,1]=>11011001=>4 [6,1,4,7,2,8,5,3]=>[3,8,5,2,7,1,4,6]=>[2,1,2,3]=>10110100=>5 [1,7,5,8,4,2,3,6]=>[8,2,4,1,5,7,6,3]=>[1,2,3,1,1]=>11010011=>4 [5,7,2,4,3,6,8,1]=>[4,2,7,5,6,3,1,8]=>[1,2,2,1,2]=>11010110=>5 [2,8,3,6,1,7,4,5]=>[7,1,6,3,8,2,5,4]=>[1,2,2,2,1]=>11010101=>6 [4,3,1,8,5,2,6,7]=>[5,6,8,1,4,7,3,2]=>[3,3,1,1]=>10010011=>4 [1,8,4,5,6,2,7,3]=>[8,1,5,4,3,7,2,6]=>[1,2,1,2,2]=>11011010=>5 [8,2,5,3,1,7,4,6]=>[1,7,4,6,8,2,5,3]=>[2,3,2,1]=>10100101=>6 [6,3,5,8,1,7,4,2]=>[3,6,4,1,8,2,5,7]=>[2,1,2,3]=>10110100=>5 [3,5,4,8,6,1,7,2]=>[6,4,5,1,3,8,2,7]=>[1,2,3,2]=>11010010=>5 [2,7,5,1,4,8,3,6]=>[7,2,4,8,5,1,6,3]=>[1,3,1,2,1]=>11001101=>4 [7,4,6,5,1,8,2,3]=>[2,5,3,4,8,1,7,6]=>[2,3,2,1]=>10100101=>6 [2,8,4,1,7,3,6,5]=>[7,1,5,8,2,6,3,4]=>[1,3,2,2]=>11001010=>5 [4,3,5,2,8,1,6,7]=>[5,6,4,7,1,8,3,2]=>[2,2,2,1,1]=>10101011=>6 [1,7,3,8,2,4,6,5]=>[8,2,6,1,7,5,3,4]=>[1,2,2,1,2]=>11010110=>5 [2,7,4,8,5,3,1,6]=>[7,2,5,1,4,6,8,3]=>[1,2,4,1]=>11010001=>4 [5,4,1,8,6,2,7,3]=>[4,5,8,1,3,7,2,6]=>[3,3,2]=>10010010=>5 [5,4,6,8,1,3,2,7]=>[4,5,3,1,8,6,7,2]=>[2,1,2,2,1]=>10110101=>6 [3,6,1,5,8,4,7,2]=>[6,3,8,4,1,5,2,7]=>[1,2,1,2,2]=>11011010=>5 [6,4,8,3,5,7,2,1]=>[3,5,1,6,4,2,7,8]=>[2,2,1,3]=>10101100=>5 [3,5,8,2,4,1,7,6]=>[6,4,1,7,5,8,2,3]=>[1,1,2,2,2]=>11101010=>5 [7,2,8,4,1,3,6,5]=>[2,7,1,5,8,6,3,4]=>[2,3,1,2]=>10100110=>5 [5,8,1,2,4,3,6,7]=>[4,1,8,7,5,6,3,2]=>[1,2,1,2,1,1]=>11011011=>4 [3,6,5,4,7,1,2,8]=>[6,3,4,5,2,8,7,1]=>[1,3,2,1,1]=>11001011=>4 [8,4,6,3,5,7,2,1]=>[1,5,3,6,4,2,7,8]=>[2,2,1,3]=>10101100=>5 [6,1,7,4,3,2,5,8]=>[3,8,2,5,6,7,4,1]=>[2,4,1,1]=>10100011=>4 [2,7,4,6,3,5,1,8]=>[7,2,5,3,6,4,8,1]=>[1,2,2,2,1]=>11010101=>6 [8,3,6,2,7,5,1,4]=>[1,6,3,7,2,4,8,5]=>[2,2,3,1]=>10101001=>6 [2,8,4,7,3,1,6,5]=>[7,1,5,2,6,8,3,4]=>[1,2,3,2]=>11010010=>5 [2,8,7,3,6,1,5,4]=>[7,1,2,6,3,8,4,5]=>[1,3,2,2]=>11001010=>5 [7,6,2,5,1,8,4,3]=>[2,3,7,4,8,1,5,6]=>[3,2,3]=>10010100=>5 [1,8,4,7,5,3,6,2]=>[8,1,5,2,4,6,3,7]=>[1,2,3,2]=>11010010=>5 [6,5,2,8,4,1,7,3]=>[3,4,7,1,5,8,2,6]=>[3,3,2]=>10010010=>5 [2,8,5,7,1,4,6,3]=>[7,1,4,2,8,5,3,6]=>[1,2,2,1,2]=>11010110=>5 [4,1,5,8,3,7,2,6]=>[5,8,4,1,6,2,7,3]=>[2,1,2,2,1]=>10110101=>6 [2,6,8,5,7,1,4,3]=>[7,3,1,4,2,8,5,6]=>[1,1,2,2,2]=>11101010=>5 [8,6,3,5,7,2,4,1]=>[1,3,6,4,2,7,5,8]=>[3,1,2,2]=>10011010=>5 [1,5,4,6,8,3,7,2]=>[8,4,5,3,1,6,2,7]=>[1,2,1,2,2]=>11011010=>5 [4,1,5,2,3,8,7,6]=>[5,8,4,7,6,1,2,3]=>[2,2,1,3]=>10101100=>5 [1,4,8,3,5,7,2,6]=>[8,5,1,6,4,2,7,3]=>[1,1,2,1,2,1]=>11101101=>4 [3,7,2,6,1,8,5,4]=>[6,2,7,3,8,1,4,5]=>[1,2,2,3]=>11010100=>5 [7,3,6,2,8,5,1,4]=>[2,6,3,7,1,4,8,5]=>[2,2,3,1]=>10101001=>6 [1,6,8,3,5,7,2,4]=>[8,3,1,6,4,2,7,5]=>[1,1,2,1,2,1]=>11101101=>4 [1,4,8,6,3,7,5,2]=>[8,5,1,3,6,2,4,7]=>[1,1,3,3]=>11100100=>3 [4,8,3,7,5,2,6,1]=>[5,1,6,2,4,7,3,8]=>[1,2,3,2]=>11010010=>5 [6,5,8,2,4,7,1,3]=>[3,4,1,7,5,2,8,6]=>[2,2,1,2,1]=>10101101=>6 [1,8,5,3,7,4,2,6]=>[8,1,4,6,2,5,7,3]=>[1,3,3,1]=>11001001=>4 [6,8,1,3,5,2,4,7]=>[3,1,8,6,4,7,5,2]=>[1,2,1,2,1,1]=>11011011=>4 [7,5,6,2,8,4,3,1]=>[2,4,3,7,1,5,6,8]=>[2,2,4]=>10101000=>5 [8,6,2,1,7,4,3,5]=>[1,3,7,8,2,5,6,4]=>[4,3,1]=>10001001=>4 [8,3,5,1,6,7,4,2]=>[1,6,4,8,3,2,5,7]=>[2,2,1,3]=>10101100=>5 [8,6,7,2,5,4,1,3]=>[1,3,2,7,4,5,8,6]=>[2,2,3,1]=>10101001=>6 [4,3,8,7,5,1,2,6]=>[5,6,1,2,4,8,7,3]=>[2,4,1,1]=>10100011=>4 [6,3,8,1,2,5,4,7]=>[3,6,1,8,7,4,5,2]=>[2,2,1,2,1]=>10101101=>6 [8,2,5,1,6,7,4,3]=>[1,7,4,8,3,2,5,6]=>[2,2,1,3]=>10101100=>5 [8,1,5,2,6,7,4,3]=>[1,8,4,7,3,2,5,6]=>[2,2,1,3]=>10101100=>5 [7,6,4,8,5,3,2,1]=>[2,3,5,1,4,6,7,8]=>[3,5]=>10010000=>3 [7,6,5,3,8,4,2,1]=>[2,3,4,6,1,5,7,8]=>[4,4]=>10001000=>3 [7,6,5,4,2,8,3,1]=>[2,3,4,5,7,1,6,8]=>[5,3]=>10000100=>3 [8,6,9,7,5,4,3,2,1]=>[2,4,1,3,5,6,7,8,9]=>[2,7]=>101000000=>3 [7,5,4,8,6,3,2,1]=>[2,4,5,1,3,6,7,8]=>[3,5]=>10010000=>3 [8,7,5,9,6,4,3,2,1]=>[2,3,5,1,4,6,7,8,9]=>[3,6]=>100100000=>3 [8,7,6,4,9,5,3,2,1]=>[2,3,4,6,1,5,7,8,9]=>[4,5]=>100010000=>3 [7,6,5,3,2,8,4,1]=>[2,3,4,6,7,1,5,8]=>[5,3]=>10000100=>3 [8,7,6,5,3,9,4,2,1]=>[2,3,4,5,7,1,6,8,9]=>[5,4]=>100001000=>3 [8,7,6,5,4,2,9,3,1]=>[2,3,4,5,6,8,1,7,9]=>[6,3]=>100000100=>3 [1,7,2,4,6,5,3,8]=>[8,2,7,5,3,4,6,1]=>[1,2,1,3,1]=>11011001=>4 [1,4,7,2,6,5,3,8]=>[8,5,2,7,3,4,6,1]=>[1,1,2,3,1]=>11101001=>4 [1,2,6,8,7,4,3,5]=>[8,7,3,1,2,5,6,4]=>[1,1,1,4,1]=>11110001=>2 [1,2,7,4,3,5,8,6]=>[8,7,2,5,6,4,1,3]=>[1,1,3,1,2]=>11100110=>3 [1,6,2,8,7,4,3,5]=>[8,3,7,1,2,5,6,4]=>[1,2,4,1]=>11010001=>4 [1,4,7,5,2,8,6,3]=>[8,5,2,4,7,1,3,6]=>[1,1,3,3]=>11100100=>3 [1,6,3,7,4,2,8,5]=>[8,3,6,2,5,7,1,4]=>[1,2,3,2]=>11010010=>5 [1,8,5,2,7,4,3,6]=>[8,1,4,7,2,5,6,3]=>[1,3,3,1]=>11001001=>4 [1,4,8,7,5,3,2,6]=>[8,5,1,2,4,6,7,3]=>[1,1,5,1]=>11100001=>2 [1,2,5,8,6,3,7,4]=>[8,7,4,1,3,6,2,5]=>[1,1,1,3,2]=>11110010=>3 [1,2,4,7,5,8,6,3]=>[8,7,5,2,4,1,3,6]=>[1,1,1,2,3]=>11110100=>3 [1,5,8,7,6,2,4,3]=>[8,4,1,2,3,7,5,6]=>[1,1,4,2]=>11100010=>3 [1,3,5,8,7,6,2,4]=>[8,6,4,1,2,3,7,5]=>[1,1,1,4,1]=>11110001=>2 [1,5,2,4,3,6,8,7]=>[8,4,7,5,6,3,1,2]=>[1,2,2,1,2]=>11010110=>5 [1,6,8,7,5,3,2,4]=>[8,3,1,2,4,6,7,5]=>[1,1,5,1]=>11100001=>2 [1,2,5,7,4,3,8,6]=>[8,7,4,2,5,6,1,3]=>[1,1,1,3,2]=>11110010=>3 [1,5,3,2,6,8,7,4]=>[8,4,6,7,3,1,2,5]=>[1,3,1,3]=>11001100=>3 [1,4,2,6,8,7,5,3]=>[8,5,7,3,1,2,4,6]=>[1,2,1,4]=>11011000=>3 [1,5,8,6,3,2,7,4]=>[8,4,1,3,6,7,2,5]=>[1,1,4,2]=>11100010=>3 [1,8,5,2,6,3,4,7]=>[8,1,4,7,3,6,5,2]=>[1,3,2,1,1]=>11001011=>4 [1,7,4,6,3,2,8,5]=>[8,2,5,3,6,7,1,4]=>[1,2,3,2]=>11010010=>5 [1,6,3,2,8,5,4,7]=>[8,3,6,7,1,4,5,2]=>[1,3,3,1]=>11001001=>4 [1,3,8,6,4,2,5,7]=>[8,6,1,3,5,7,4,2]=>[1,1,4,1,1]=>11100011=>2 [6,3,7,5,4,2,8,1]=>[3,6,2,4,5,7,1,8]=>[2,4,2]=>10100010=>5 [7,5,2,6,3,4,8,1]=>[2,4,7,3,6,5,1,8]=>[3,2,1,2]=>10010110=>5 [3,8,2,7,5,4,1,6]=>[6,1,7,2,4,5,8,3]=>[1,2,4,1]=>11010001=>4 [8,6,2,4,1,7,5,3]=>[1,3,7,5,8,2,4,6]=>[3,2,3]=>10010100=>5 [2,7,3,6,8,5,4,1]=>[7,2,6,3,1,4,5,8]=>[1,2,1,4]=>11011000=>3 [3,7,2,8,1,6,4,5]=>[6,2,7,1,8,3,5,4]=>[1,2,2,2,1]=>11010101=>6 [6,3,1,2,5,8,7,4]=>[3,6,8,7,4,1,2,5]=>[3,1,1,3]=>10011100=>3 [8,5,2,4,6,7,3,1]=>[1,4,7,5,3,2,6,8]=>[3,1,1,3]=>10011100=>3 [2,5,8,7,1,4,3,6]=>[7,4,1,2,8,5,6,3]=>[1,1,3,2,1]=>11100101=>4 [6,1,5,8,2,4,3,7]=>[3,8,4,1,7,5,6,2]=>[2,1,2,2,1]=>10110101=>6 [3,4,6,5,8,2,7,1]=>[6,5,3,4,1,7,2,8]=>[1,1,2,2,2]=>11101010=>5 [5,2,4,1,6,7,8,3]=>[4,7,5,8,3,2,1,6]=>[2,2,1,1,2]=>10101110=>5 [4,2,7,1,6,8,3,5]=>[5,7,2,8,3,1,6,4]=>[2,2,1,2,1]=>10101101=>6 [5,2,8,6,4,7,1,3]=>[4,7,1,3,5,2,8,6]=>[2,3,2,1]=>10100101=>6 [8,5,1,3,6,2,7,4]=>[1,4,8,6,3,7,2,5]=>[3,1,2,2]=>10011010=>5 [8,2,1,3,6,7,4,5]=>[1,7,8,6,3,2,5,4]=>[3,1,1,2,1]=>10011101=>4 [4,3,1,6,7,5,8,2]=>[5,6,8,3,2,4,1,7]=>[3,1,2,2]=>10011010=>5 [8,5,7,2,3,1,4,6]=>[1,4,2,7,6,8,5,3]=>[2,2,2,1,1]=>10101011=>6 [6,1,3,4,7,2,8,5]=>[3,8,6,5,2,7,1,4]=>[2,1,1,2,2]=>10111010=>5 [8,4,7,1,5,3,2,6]=>[1,5,2,8,4,6,7,3]=>[2,2,3,1]=>10101001=>6 [8,4,7,2,5,3,1,6]=>[1,5,2,7,4,6,8,3]=>[2,2,3,1]=>10101001=>6 [8,3,4,5,2,1,7,6]=>[1,6,5,4,7,8,2,3]=>[2,1,3,2]=>10110010=>5 [6,3,4,7,2,1,5,8]=>[3,6,5,2,7,8,4,1]=>[2,1,3,1,1]=>10110011=>4 [5,3,6,7,2,8,1,4]=>[4,6,3,2,7,1,8,5]=>[2,1,2,2,1]=>10110101=>6 [3,4,2,6,1,8,7,5]=>[6,5,7,3,8,1,2,4]=>[1,2,2,3]=>11010100=>5 [8,6,1,4,7,3,5,2]=>[1,3,8,5,2,6,4,7]=>[3,1,2,2]=>10011010=>5 [5,3,6,7,2,8,4,1]=>[4,6,3,2,7,1,5,8]=>[2,1,2,3]=>10110100=>5 [5,3,6,7,2,4,8,1]=>[4,6,3,2,7,5,1,8]=>[2,1,2,1,2]=>10110110=>5 [5,3,6,7,2,4,1,8]=>[4,6,3,2,7,5,8,1]=>[2,1,2,2,1]=>10110101=>6 [3,8,2,5,6,7,4,1]=>[6,1,7,4,3,2,5,8]=>[1,2,1,1,3]=>11011100=>3 [3,8,4,1,6,7,2,5]=>[6,1,5,8,3,2,7,4]=>[1,3,1,2,1]=>11001101=>4 [5,3,6,7,8,1,2,4]=>[4,6,3,2,1,8,7,5]=>[2,1,1,2,1,1]=>10111011=>4 [2,8,3,6,1,4,7,5]=>[7,1,6,3,8,5,2,4]=>[1,2,2,1,2]=>11010110=>5 [8,6,3,1,7,2,5,4]=>[1,3,6,8,2,7,4,5]=>[4,2,2]=>10001010=>5 [8,6,4,2,7,1,5,3]=>[1,3,5,7,2,8,4,6]=>[4,2,2]=>10001010=>5 [5,6,2,7,1,4,3,8]=>[4,3,7,2,8,5,6,1]=>[1,2,2,2,1]=>11010101=>6 [5,3,6,7,4,1,2,8]=>[4,6,3,2,5,8,7,1]=>[2,1,3,1,1]=>10110011=>4 [8,6,3,4,7,5,1,2]=>[1,3,6,5,2,4,8,7]=>[3,1,3,1]=>10011001=>4 [8,6,1,4,7,5,2,3]=>[1,3,8,5,2,4,7,6]=>[3,1,3,1]=>10011001=>4 [5,1,8,2,6,7,4,3]=>[4,8,1,7,3,2,5,6]=>[2,2,1,3]=>10101100=>5 [3,8,5,1,6,7,4,2]=>[6,1,4,8,3,2,5,7]=>[1,3,1,3]=>11001100=>3 [4,1,5,6,7,3,8,2]=>[5,8,4,3,2,6,1,7]=>[2,1,1,2,2]=>10111010=>5 [4,1,5,6,7,3,2,8]=>[5,8,4,3,2,6,7,1]=>[2,1,1,3,1]=>10111001=>4 [2,8,1,5,6,7,4,3]=>[7,1,8,4,3,2,5,6]=>[1,2,1,1,3]=>11011100=>3 [1,5,8,2,6,7,4,3]=>[8,4,1,7,3,2,5,6]=>[1,1,2,1,3]=>11101100=>3 [5,8,6,1,7,4,3,2]=>[4,1,3,8,2,5,6,7]=>[1,3,4]=>11001000=>3 [8,5,2,6,7,4,3,1]=>[1,4,7,3,2,5,6,8]=>[3,1,4]=>10011000=>3 [8,5,3,6,7,4,2,1]=>[1,4,6,3,2,5,7,8]=>[3,1,4]=>10011000=>3 [7,1,3,6,5,2,8,4]=>[2,8,6,3,4,7,1,5]=>[2,1,3,2]=>10110010=>5 [8,2,1,4,5,7,6,3]=>[1,7,8,5,4,2,3,6]=>[3,1,1,3]=>10011100=>3 [6,1,7,5,4,2,8,3]=>[3,8,2,4,5,7,1,6]=>[2,4,2]=>10100010=>5 [2,7,3,6,5,1,8,4]=>[7,2,6,3,4,8,1,5]=>[1,2,3,2]=>11010010=>5 [8,6,5,1,3,7,4,2]=>[1,3,4,8,6,2,5,7]=>[4,1,3]=>10001100=>3 [3,7,5,6,4,8,1,2]=>[6,2,4,3,5,1,8,7]=>[1,2,2,2,1]=>11010101=>6 [7,6,8,1,3,5,4,2]=>[2,3,1,8,6,4,5,7]=>[2,2,1,3]=>10101100=>5 [2,8,4,6,1,7,5,3]=>[7,1,5,3,8,2,4,6]=>[1,2,2,3]=>11010100=>5 [8,7,1,4,6,5,3,2]=>[1,2,8,5,3,4,6,7]=>[3,1,4]=>10011000=>3 [3,5,8,6,7,1,4,2]=>[6,4,1,3,2,8,5,7]=>[1,1,2,2,2]=>11101010=>5 [1,2,4,6,8,5,3,7]=>[8,7,5,3,1,4,6,2]=>[1,1,1,1,3,1]=>11111001=>2 [3,1,5,8,6,2,4,7]=>[6,8,4,1,3,7,5,2]=>[2,1,3,1,1]=>10110011=>4 [2,5,4,6,8,1,3,7]=>[7,4,5,3,1,8,6,2]=>[1,2,1,2,1,1]=>11011011=>4 [6,5,2,4,7,8,1,3]=>[3,4,7,5,2,1,8,6]=>[3,1,1,2,1]=>10011101=>4 [7,2,5,8,6,4,1,3]=>[2,7,4,1,3,5,8,6]=>[2,1,4,1]=>10110001=>4 [5,2,8,3,4,7,6,1]=>[4,7,1,6,5,2,3,8]=>[2,2,1,3]=>10101100=>5 [2,4,3,8,7,1,6,5]=>[7,5,6,1,2,8,3,4]=>[1,2,3,2]=>11010010=>5 [1,5,8,7,4,2,6,3]=>[8,4,1,2,5,7,3,6]=>[1,1,4,2]=>11100010=>3 [6,8,7,5,4,3,1,2]=>[3,1,2,4,5,6,8,7]=>[1,6,1]=>11000001=>2 [5,6,4,7,3,8,2,9,1]=>[5,4,6,3,7,2,8,1,9]=>[1,2,2,2,2]=>110101010=>7 [5,6,4,7,3,9,2,8,1]=>[5,4,6,3,7,1,8,2,9]=>[1,2,2,2,2]=>110101010=>7 [4,5,2,6,3,8,7,1]=>[5,4,7,3,6,1,2,8]=>[1,2,2,3]=>11010100=>5 [5,4,6,3,7,2,8,1,9]=>[5,6,4,7,3,8,2,9,1]=>[2,2,2,2,1]=>101010101=>8 [5,2,6,3,4,8,7,1]=>[4,7,3,6,5,1,2,8]=>[2,2,1,3]=>10101100=>5 [5,4,6,3,7,1,8,2,9]=>[5,6,4,7,3,9,2,8,1]=>[2,2,2,2,1]=>101010101=>8 [7,6,1,5,2,4,8,3]=>[2,3,8,4,7,5,1,6]=>[3,2,1,2]=>10010110=>5 [5,4,2,3,6,1,8,7]=>[4,5,7,6,3,8,1,2]=>[3,1,2,2]=>10011010=>5 [4,1,7,3,2,6,8,5]=>[5,8,2,6,7,3,1,4]=>[2,3,1,2]=>10100110=>5 [6,1,8,5,4,7,2,3]=>[3,8,1,4,5,2,7,6]=>[2,3,2,1]=>10100101=>6 [5,1,7,4,3,6,8,2]=>[4,8,2,5,6,3,1,7]=>[2,3,1,2]=>10100110=>5 [8,1,5,7,6,4,2,3]=>[1,8,4,2,3,5,7,6]=>[2,1,4,1]=>10110001=>4 [4,3,7,6,8,2,1,5]=>[5,6,2,3,1,7,8,4]=>[2,2,3,1]=>10101001=>6 [8,1,4,7,2,3,5,6]=>[1,8,5,2,7,6,4,3]=>[2,1,2,1,1,1]=>10110111=>4 [3,2,7,1,5,6,8,4]=>[6,7,2,8,4,3,1,5]=>[2,2,1,1,2]=>10101110=>5 [6,1,8,5,2,7,3,4]=>[3,8,1,4,7,2,6,5]=>[2,3,2,1]=>10100101=>6 [8,7,2,6,3,1,4,5]=>[1,2,7,3,6,8,5,4]=>[3,3,1,1]=>10010011=>4 [6,5,2,4,7,1,8,3]=>[3,4,7,5,2,8,1,6]=>[3,1,2,2]=>10011010=>5 [5,4,2,3,7,1,8,6]=>[4,5,7,6,2,8,1,3]=>[3,1,2,2]=>10011010=>5 [8,7,1,6,4,5,2,3]=>[1,2,8,3,5,4,7,6]=>[3,2,2,1]=>10010101=>6 [5,4,1,3,7,2,8,6]=>[4,5,8,6,2,7,1,3]=>[3,1,2,2]=>10011010=>5 [7,6,1,5,8,4,2,3]=>[2,3,8,4,1,5,7,6]=>[3,1,3,1]=>10011001=>4 [8,6,3,7,2,5,4,1]=>[1,3,6,2,7,4,5,8]=>[3,2,3]=>10010100=>5 [8,3,4,7,6,2,1,5]=>[1,6,5,2,3,7,8,4]=>[2,1,4,1]=>10110001=>4 [8,4,5,7,1,3,2,6]=>[1,5,4,2,8,6,7,3]=>[2,1,2,2,1]=>10110101=>6 [3,1,8,7,5,2,4,6]=>[6,8,1,2,4,7,5,3]=>[2,4,1,1]=>10100011=>4 [6,5,8,7,2,4,3,1]=>[3,4,1,2,7,5,6,8]=>[2,3,3]=>10100100=>5 [4,3,6,5,8,2,1,7]=>[5,6,3,4,1,7,8,2]=>[2,2,3,1]=>10101001=>6 [7,6,3,2,8,5,4,1]=>[2,3,6,7,1,4,5,8]=>[4,4]=>10001000=>3 [3,2,6,8,7,1,4,5]=>[6,7,3,1,2,8,5,4]=>[2,1,3,1,1]=>10110011=>4 [3,8,2,7,6,1,4,5]=>[6,1,7,2,3,8,5,4]=>[1,2,3,1,1]=>11010011=>4 [2,4,5,1,8,7,3,6]=>[7,5,4,8,1,2,6,3]=>[1,1,2,3,1]=>11101001=>4 [4,3,7,1,8,5,2,6]=>[5,6,2,8,1,4,7,3]=>[2,2,3,1]=>10101001=>6 [3,7,6,8,2,1,4,5]=>[6,2,3,1,7,8,5,4]=>[1,2,3,1,1]=>11010011=>4 [7,4,2,6,1,8,3,5]=>[2,5,7,3,8,1,6,4]=>[3,2,2,1]=>10010101=>6 [7,4,6,1,8,3,2,5]=>[2,5,3,8,1,6,7,4]=>[2,2,3,1]=>10101001=>6 [3,6,8,7,2,1,4,5]=>[6,3,1,2,7,8,5,4]=>[1,1,4,1,1]=>11100011=>2 [3,8,7,2,5,6,1,4]=>[6,1,2,7,4,3,8,5]=>[1,3,1,2,1]=>11001101=>4 [3,2,8,5,6,7,1,4]=>[6,7,1,4,3,2,8,5]=>[2,2,1,2,1]=>10101101=>6 [7,3,6,2,5,8,1,4]=>[2,6,3,7,4,1,8,5]=>[2,2,1,2,1]=>10101101=>6 [8,3,2,1,4,7,5,6]=>[1,6,7,8,5,2,4,3]=>[4,1,2,1]=>10001101=>4 [3,7,6,2,8,1,4,5]=>[6,2,3,7,1,8,5,4]=>[1,3,2,1,1]=>11001011=>4 [7,4,2,1,6,8,3,5]=>[2,5,7,8,3,1,6,4]=>[4,1,2,1]=>10001101=>4 [7,3,1,8,5,4,2,6]=>[2,6,8,1,4,5,7,3]=>[3,4,1]=>10010001=>4 [6,8,3,2,7,1,4,5]=>[3,1,6,7,2,8,5,4]=>[1,3,2,1,1]=>11001011=>4 [4,7,3,1,8,5,2,6]=>[5,2,6,8,1,4,7,3]=>[1,3,3,1]=>11001001=>4 [8,3,6,2,5,7,1,4]=>[1,6,3,7,4,2,8,5]=>[2,2,1,2,1]=>10101101=>6 [3,7,2,5,6,8,1,4]=>[6,2,7,4,3,1,8,5]=>[1,2,1,1,2,1]=>11011101=>4 [4,6,8,2,1,7,3,5]=>[5,3,1,7,8,2,6,4]=>[1,1,3,2,1]=>11100101=>4 [3,7,8,2,5,6,1,4]=>[6,2,1,7,4,3,8,5]=>[1,1,2,1,2,1]=>11101101=>4 [7,5,1,4,2,3,6,8]=>[2,4,8,5,7,6,3,1]=>[3,2,1,1,1]=>10010111=>4 [7,8,6,1,2,4,5,3]=>[2,1,3,8,7,5,4,6]=>[1,3,1,1,2]=>11001110=>3 [1,5,3,4,7,8,6,2]=>[8,4,6,5,2,1,3,7]=>[1,2,1,1,3]=>11011100=>3 [5,1,2,4,7,8,6,3]=>[4,8,7,5,2,1,3,6]=>[2,1,1,1,3]=>10111100=>3 [5,1,7,8,6,2,3,4]=>[4,8,2,1,3,7,6,5]=>[2,1,3,1,1]=>10110011=>4 [8,5,1,6,7,2,3,4]=>[1,4,8,3,2,7,6,5]=>[3,1,2,1,1]=>10011011=>4 [7,5,1,2,4,6,8,3]=>[2,4,8,7,5,3,1,6]=>[3,1,1,1,2]=>10011110=>3 [7,1,2,6,4,5,8,3]=>[2,8,7,3,5,4,1,6]=>[2,1,2,1,2]=>10110110=>5 [1,7,3,6,4,5,8,2]=>[8,2,6,3,5,4,1,7]=>[1,2,2,1,2]=>11010110=>5 [1,8,3,6,4,5,7,2]=>[8,1,6,3,5,4,2,7]=>[1,2,2,1,2]=>11010110=>5 [8,1,6,2,7,3,4,5]=>[1,8,3,7,2,6,5,4]=>[2,2,2,1,1]=>10101011=>6 [7,1,6,2,5,3,4,8]=>[2,8,3,7,4,6,5,1]=>[2,2,2,1,1]=>10101011=>6 [8,1,7,2,5,3,4,6]=>[1,8,2,7,4,6,5,3]=>[2,2,2,1,1]=>10101011=>6 [8,1,2,7,4,5,6,3]=>[1,8,7,2,5,4,3,6]=>[2,1,2,1,2]=>10110110=>5 [1,8,3,7,4,5,6,2]=>[8,1,6,2,5,4,3,7]=>[1,2,2,1,2]=>11010110=>5 [7,3,1,2,6,4,5,8]=>[2,6,8,7,3,5,4,1]=>[3,1,2,1,1]=>10011011=>4 [3,1,2,8,5,6,7,4]=>[6,8,7,1,4,3,2,5]=>[2,1,2,1,2]=>10110110=>5 [6,3,1,2,7,4,5,8]=>[3,6,8,7,2,5,4,1]=>[3,1,2,1,1]=>10011011=>4 [6,1,7,4,2,3,5,8]=>[3,8,2,5,7,6,4,1]=>[2,3,1,1,1]=>10100111=>4 [1,7,3,4,6,8,5,2]=>[8,2,6,5,3,1,4,7]=>[1,2,1,1,3]=>11011100=>3 [1,7,3,8,4,5,6,2]=>[8,2,6,1,5,4,3,7]=>[1,2,2,1,2]=>11010110=>5 [7,1,8,2,5,3,4,6]=>[2,8,1,7,4,6,5,3]=>[2,2,2,1,1]=>10101011=>6 [5,1,7,2,6,3,4,8]=>[4,8,2,7,3,6,5,1]=>[2,2,2,1,1]=>10101011=>6 [5,1,8,2,6,3,4,7]=>[4,8,1,7,3,6,5,2]=>[2,2,2,1,1]=>10101011=>6 [1,6,3,7,4,5,8,2]=>[8,3,6,2,5,4,1,7]=>[1,2,2,1,2]=>11010110=>5 [2,5,8,4,3,6,1,7]=>[7,4,1,5,6,3,8,2]=>[1,1,3,2,1]=>11100101=>4 [3,7,2,8,5,4,1,6]=>[6,2,7,1,4,5,8,3]=>[1,2,4,1]=>11010001=>4 [2,4,8,6,3,5,1,7]=>[7,5,1,3,6,4,8,2]=>[1,1,3,2,1]=>11100101=>4 [2,3,7,5,4,1,6,8]=>[7,6,2,4,5,8,3,1]=>[1,1,4,1,1]=>11100011=>2 [3,4,6,2,1,5,8,7]=>[6,5,3,7,8,4,1,2]=>[1,1,3,1,2]=>11100110=>3 [3,6,8,5,4,1,2,7]=>[6,3,1,4,5,8,7,2]=>[1,1,4,1,1]=>11100011=>2 [2,5,8,3,4,1,7,6]=>[7,4,1,6,5,8,2,3]=>[1,1,2,2,2]=>11101010=>5 [3,5,8,4,2,1,7,6]=>[6,4,1,5,7,8,2,3]=>[1,1,4,2]=>11100010=>3 [2,4,7,1,3,6,8,5]=>[7,5,2,8,6,3,1,4]=>[1,1,2,1,1,2]=>11101110=>3 [5,4,7,8,1,3,2,6]=>[4,5,2,1,8,6,7,3]=>[2,1,2,2,1]=>10110101=>6 [4,6,3,8,1,5,2,7]=>[5,3,6,1,8,4,7,2]=>[1,2,2,2,1]=>11010101=>6 [2,5,7,1,4,6,3,8]=>[7,4,2,8,5,3,6,1]=>[1,1,2,1,2,1]=>11101101=>4 [2,3,7,1,6,5,4,8]=>[7,6,2,8,3,4,5,1]=>[1,1,2,3,1]=>11101001=>4 [2,5,7,1,4,3,6,8]=>[7,4,2,8,5,6,3,1]=>[1,1,2,2,1,1]=>11101011=>4 [2,5,7,3,1,4,6,8]=>[7,4,2,6,8,5,3,1]=>[1,1,3,1,1,1]=>11100111=>2 [4,6,3,7,1,5,2,8]=>[5,3,6,2,8,4,7,1]=>[1,2,2,2,1]=>11010101=>6 [5,7,3,2,8,1,4,6]=>[4,2,6,7,1,8,5,3]=>[1,3,2,1,1]=>11001011=>4 [4,6,3,7,1,5,8,2]=>[5,3,6,2,8,4,1,7]=>[1,2,2,1,2]=>11010110=>5 [3,6,8,5,4,1,7,2]=>[6,3,1,4,5,8,2,7]=>[1,1,4,2]=>11100010=>3 [2,6,8,3,5,1,7,4]=>[7,3,1,6,4,8,2,5]=>[1,1,2,2,2]=>11101010=>5 [2,5,7,1,4,6,8,3]=>[7,4,2,8,5,3,1,6]=>[1,1,2,1,1,2]=>11101110=>3 [2,4,7,1,6,3,8,5]=>[7,5,2,8,3,6,1,4]=>[1,1,2,2,2]=>11101010=>5 [2,4,7,1,6,8,3,5]=>[7,5,2,8,3,1,6,4]=>[1,1,2,1,2,1]=>11101101=>4 [2,6,5,8,1,7,4,3]=>[7,3,4,1,8,2,5,6]=>[1,2,2,3]=>11010100=>5 [2,4,8,3,1,7,6,5]=>[7,5,1,6,8,2,3,4]=>[1,1,3,3]=>11100100=>3 [5,3,6,4,7,1,2,8]=>[4,6,3,5,2,8,7,1]=>[2,2,2,1,1]=>10101011=>6 [8,6,5,1,2,4,3,7]=>[1,3,4,8,7,5,6,2]=>[4,1,2,1]=>10001101=>4 [7,6,1,4,2,3,5,8]=>[2,3,8,5,7,6,4,1]=>[3,2,1,1,1]=>10010111=>4 [6,5,4,8,1,3,2,7]=>[3,4,5,1,8,6,7,2]=>[3,2,2,1]=>10010101=>6 [7,5,4,8,3,1,2,6]=>[2,4,5,1,6,8,7,3]=>[3,3,1,1]=>10010011=>4 [2,6,3,5,7,4,8,1]=>[7,3,6,4,2,5,1,8]=>[1,2,1,2,2]=>11011010=>5 [6,5,1,4,8,3,2,7]=>[3,4,8,5,1,6,7,2]=>[3,1,3,1]=>10011001=>4 [7,6,5,2,4,8,3,1]=>[2,3,4,7,5,1,6,8]=>[4,1,3]=>10001100=>3 [7,6,5,3,8,2,1,4]=>[2,3,4,6,1,7,8,5]=>[4,3,1]=>10001001=>4 [8,7,6,3,1,2,5,4]=>[1,2,3,6,8,7,4,5]=>[5,1,2]=>10000110=>3 [8,7,1,4,3,2,5,6]=>[1,2,8,5,6,7,4,3]=>[3,3,1,1]=>10010011=>4 [2,8,3,7,4,1,5,6]=>[7,1,6,2,5,8,4,3]=>[1,2,3,1,1]=>11010011=>4 [2,7,3,6,1,5,8,4]=>[7,2,6,3,8,4,1,5]=>[1,2,2,1,2]=>11010110=>5 [7,6,1,4,2,5,8,3]=>[2,3,8,5,7,4,1,6]=>[3,2,1,2]=>10010110=>5 [8,7,5,1,4,2,3,6]=>[1,2,4,8,5,7,6,3]=>[4,2,1,1]=>10001011=>4 [6,3,7,4,1,5,8,2]=>[3,6,2,5,8,4,1,7]=>[2,3,1,2]=>10100110=>5 [7,4,1,2,5,3,8,6]=>[2,5,8,7,4,6,1,3]=>[3,1,2,2]=>10011010=>5 [2,4,3,7,5,1,8,6]=>[7,5,6,2,4,8,1,3]=>[1,2,3,2]=>11010010=>5 [8,4,1,2,5,3,6,7]=>[1,5,8,7,4,6,3,2]=>[3,1,2,1,1]=>10011011=>4 [7,3,8,4,2,5,1,6]=>[2,6,1,5,7,4,8,3]=>[2,3,2,1]=>10100101=>6 [7,3,8,4,2,5,6,1]=>[2,6,1,5,7,4,3,8]=>[2,3,1,2]=>10100110=>5 [8,7,5,1,4,2,6,3]=>[1,2,4,8,5,7,3,6]=>[4,2,2]=>10001010=>5 [8,6,1,4,2,5,3,7]=>[1,3,8,5,7,4,6,2]=>[3,2,2,1]=>10010101=>6 [8,7,1,4,3,2,6,5]=>[1,2,8,5,6,7,3,4]=>[3,3,2]=>10010010=>5 [8,7,6,3,1,4,5,2]=>[1,2,3,6,8,5,4,7]=>[5,1,2]=>10000110=>3 [8,7,6,3,1,5,4,2]=>[1,2,3,6,8,4,5,7]=>[5,3]=>10000100=>3 [2,8,3,7,4,5,6,1]=>[7,1,6,2,5,4,3,8]=>[1,2,2,1,2]=>11010110=>5 [2,9,1,8,7,6,5,4,3]=>[8,1,9,2,3,4,5,6,7]=>[1,2,6]=>110100000=>3 [2,9,8,1,7,6,5,4,3]=>[8,1,2,9,3,4,5,6,7]=>[1,3,5]=>110010000=>3 [4,2,5,7,3,1,6,8]=>[5,7,4,2,6,8,3,1]=>[2,1,3,1,1]=>10110011=>4 [8,2,4,5,3,1,6,7]=>[1,7,5,4,6,8,3,2]=>[2,1,3,1,1]=>10110011=>4 [4,3,7,5,2,1,6,8]=>[5,6,2,4,7,8,3,1]=>[2,4,1,1]=>10100011=>4 [1,6,7,4,3,2,5,8]=>[8,3,2,5,6,7,4,1]=>[1,1,4,1,1]=>11100011=>2 [1,4,5,7,3,2,6,8]=>[8,5,4,2,6,7,3,1]=>[1,1,1,3,1,1]=>11110011=>2 [3,5,1,4,7,2,6,8]=>[6,4,8,5,2,7,3,1]=>[1,2,1,2,1,1]=>11011011=>4 [2,5,1,4,7,8,3,6]=>[7,4,8,5,2,1,6,3]=>[1,2,1,1,2,1]=>11011101=>4 [4,3,7,1,5,2,6,8]=>[5,6,2,8,4,7,3,1]=>[2,2,2,1,1]=>10101011=>6 [3,5,1,6,4,2,7,8]=>[6,4,8,3,5,7,2,1]=>[1,2,3,1,1]=>11010011=>4 [6,3,2,7,4,5,1,8]=>[3,6,7,2,5,4,8,1]=>[3,2,2,1]=>10010101=>6 [7,2,4,1,3,6,8,5]=>[2,7,5,8,6,3,1,4]=>[2,2,1,1,2]=>10101110=>5 [6,3,2,5,7,1,4,8]=>[3,6,7,4,2,8,5,1]=>[3,1,2,1,1]=>10011011=>4 [2,1,6,3,5,7,8,4]=>[7,8,3,6,4,2,1,5]=>[2,2,1,1,2]=>10101110=>5 [1,4,6,5,2,7,3,8]=>[8,5,3,4,7,2,6,1]=>[1,1,3,2,1]=>11100101=>4 [5,6,2,1,4,3,7,8]=>[4,3,7,8,5,6,2,1]=>[1,3,2,1,1]=>11001011=>4 [2,5,1,6,4,3,7,8]=>[7,4,8,3,5,6,2,1]=>[1,2,3,1,1]=>11010011=>4 [2,5,4,1,6,3,7,8]=>[7,4,5,8,3,6,2,1]=>[1,3,2,1,1]=>11001011=>4 [4,6,1,5,2,7,3,8]=>[5,3,8,4,7,2,6,1]=>[1,2,2,2,1]=>11010101=>6 [1,2,4,7,5,3,6,8]=>[8,7,5,2,4,6,3,1]=>[1,1,1,3,1,1]=>11110011=>2 [1,2,5,3,4,8,7,6]=>[8,7,4,6,5,1,2,3]=>[1,1,2,1,3]=>11101100=>3 [4,3,7,6,5,1,2,8]=>[5,6,2,3,4,8,7,1]=>[2,4,1,1]=>10100011=>4 [5,3,7,6,1,8,2,4]=>[4,6,2,3,8,1,7,5]=>[2,3,2,1]=>10100101=>6 [7,8,1,3,6,5,4,2]=>[2,1,8,6,3,4,5,7]=>[1,2,1,4]=>11011000=>3 [5,8,2,6,1,7,4,3]=>[4,1,7,3,8,2,5,6]=>[1,2,2,3]=>11010100=>5 [1,5,3,7,6,2,8,4]=>[8,4,6,2,3,7,1,5]=>[1,2,3,2]=>11010010=>5 [1,6,3,7,2,8,5,4]=>[8,3,6,2,7,1,4,5]=>[1,2,2,3]=>11010100=>5 [1,7,8,2,4,6,5,3]=>[8,2,1,7,5,3,4,6]=>[1,1,2,1,3]=>11101100=>3 [1,5,8,3,6,2,7,4]=>[8,4,1,6,3,7,2,5]=>[1,1,2,2,2]=>11101010=>5 [6,8,7,1,4,5,2,3]=>[3,1,2,8,5,4,7,6]=>[1,3,1,2,1]=>11001101=>4 [7,8,1,4,6,5,2,3]=>[2,1,8,5,3,4,7,6]=>[1,2,1,3,1]=>11011001=>4 [5,8,7,3,1,6,2,4]=>[4,1,2,6,8,3,7,5]=>[1,4,2,1]=>11000101=>4 [1,2,6,4,7,3,8,5]=>[8,7,3,5,2,6,1,4]=>[1,1,2,2,2]=>11101010=>5 [1,2,7,8,3,5,6,4]=>[8,7,2,1,6,4,3,5]=>[1,1,1,2,1,2]=>11110110=>3 [6,8,7,1,2,4,5,3]=>[3,1,2,8,7,5,4,6]=>[1,3,1,1,2]=>11001110=>3 [4,8,7,6,2,1,5,3]=>[5,1,2,3,7,8,4,6]=>[1,5,2]=>11000010=>3 [5,4,2,3,8,6,1,7]=>[4,5,7,6,1,3,8,2]=>[3,1,3,1]=>10011001=>4 [5,6,2,3,4,1,8,7]=>[4,3,7,6,5,8,1,2]=>[1,2,1,2,2]=>11011010=>5 [2,6,1,8,5,4,3,7]=>[7,3,8,1,4,5,6,2]=>[1,2,4,1]=>11010001=>4 [5,8,6,2,3,4,1,7]=>[4,1,3,7,6,5,8,2]=>[1,3,1,2,1]=>11001101=>4 [6,4,7,5,8,2,1,3]=>[3,5,2,4,1,7,8,6]=>[2,2,3,1]=>10101001=>6 [4,8,2,1,5,7,6,3]=>[5,1,7,8,4,2,3,6]=>[1,3,1,3]=>11001100=>3 [2,1,4,8,5,6,3,7]=>[7,8,5,1,4,3,6,2]=>[2,1,2,2,1]=>10110101=>6 [4,8,5,6,2,1,3,7]=>[5,1,4,3,7,8,6,2]=>[1,2,3,1,1]=>11010011=>4 [6,2,1,5,8,4,3,7]=>[3,7,8,4,1,5,6,2]=>[3,1,3,1]=>10011001=>4 [7,5,6,2,4,3,8,1]=>[2,4,3,7,5,6,1,8]=>[2,2,2,2]=>10101010=>7 [2,8,6,3,4,1,5,7]=>[7,1,3,6,5,8,4,2]=>[1,3,2,1,1]=>11001011=>4 [2,6,3,4,1,8,5,7]=>[7,3,6,5,8,1,4,2]=>[1,2,2,2,1]=>11010101=>6 [4,6,2,5,7,3,8,1]=>[5,3,7,4,2,6,1,8]=>[1,2,1,2,2]=>11011010=>5 [4,2,8,5,3,6,1,7]=>[5,7,1,4,6,3,8,2]=>[2,3,2,1]=>10100101=>6 [7,8,4,2,5,3,6,1]=>[2,1,5,7,4,6,3,8]=>[1,3,2,2]=>11001010=>5 [6,2,4,5,8,1,7,3]=>[3,7,5,4,1,8,2,6]=>[2,1,1,2,2]=>10111010=>5 [2,1,7,8,4,3,6,5]=>[7,8,2,1,5,6,3,4]=>[2,1,3,2]=>10110010=>5 [4,2,5,7,8,3,6,1]=>[5,7,4,2,1,6,3,8]=>[2,1,1,2,2]=>10111010=>5 [7,8,3,5,6,2,4,1]=>[2,1,6,4,3,7,5,8]=>[1,2,1,2,2]=>11011010=>5 [6,2,1,4,5,7,8,3]=>[3,7,8,5,4,2,1,6]=>[3,1,1,1,2]=>10011110=>3 [2,1,7,8,4,5,6,3]=>[7,8,2,1,5,4,3,6]=>[2,1,2,1,2]=>10110110=>5 [8,2,1,4,3,7,6,5]=>[1,7,8,5,6,2,3,4]=>[3,2,3]=>10010100=>5 [6,4,2,3,8,1,7,5]=>[3,5,7,6,1,8,2,4]=>[3,1,2,2]=>10011010=>5 [7,6,5,4,3,1,9,2,8]=>[3,4,5,6,7,9,1,8,2]=>[6,2,1]=>100000101=>4 [6,5,4,2,1,8,3,7]=>[3,4,5,7,8,1,6,2]=>[5,2,1]=>10000101=>4 [5,4,3,1,8,6,2,7]=>[4,5,6,8,1,3,7,2]=>[4,3,1]=>10001001=>4 [7,6,5,3,1,2,8,4]=>[2,3,4,6,8,7,1,5]=>[5,1,2]=>10000110=>3 [6,5,4,1,2,8,7,3]=>[3,4,5,8,7,1,2,6]=>[4,1,3]=>10001100=>3 [8,7,6,5,4,1,2,9,3]=>[2,3,4,5,6,9,8,1,7]=>[6,1,2]=>100000110=>3 [7,6,5,4,2,1,9,3,8]=>[3,4,5,6,8,9,1,7,2]=>[6,2,1]=>100000101=>4 [6,5,3,2,1,8,4,7]=>[3,4,6,7,8,1,5,2]=>[5,2,1]=>10000101=>4 [5,4,1,6,2,8,3,7]=>[4,5,8,3,7,1,6,2]=>[3,2,2,1]=>10010101=>6 [4,3,1,8,6,5,2,7]=>[5,6,8,1,3,4,7,2]=>[3,4,1]=>10010001=>4 [7,6,5,3,2,1,9,4,8]=>[3,4,5,7,8,9,1,6,2]=>[6,2,1]=>100000101=>4 [6,5,3,1,4,7,8,2]=>[3,4,6,8,5,2,1,7]=>[4,1,1,2]=>10001110=>3 [6,2,3,1,7,8,4,5]=>[3,7,6,8,2,1,5,4]=>[2,2,1,2,1]=>10101101=>6 [3,1,8,6,7,2,4,5]=>[6,8,1,3,2,7,5,4]=>[2,2,2,1,1]=>10101011=>6 [5,1,3,2,6,4,7,8]=>[4,8,6,7,3,5,2,1]=>[2,2,2,1,1]=>10101011=>6 [4,7,8,2,3,6,1,5]=>[5,2,1,7,6,3,8,4]=>[1,1,2,1,2,1]=>11101101=>4 [4,2,5,1,8,6,7,3]=>[5,7,4,8,1,3,2,6]=>[2,2,2,2]=>10101010=>7 [7,5,8,1,4,2,6,3]=>[2,4,1,8,5,7,3,6]=>[2,2,2,2]=>10101010=>7 [4,5,3,7,1,6,8,2]=>[5,4,6,2,8,3,1,7]=>[1,2,2,1,2]=>11010110=>5 [4,2,8,5,3,6,7,1]=>[5,7,1,4,6,3,2,8]=>[2,3,1,2]=>10100110=>5 [2,7,4,1,8,5,6,3]=>[7,2,5,8,1,4,3,6]=>[1,3,2,2]=>11001010=>5 [5,2,8,1,4,7,6,3]=>[4,7,1,8,5,2,3,6]=>[2,2,1,3]=>10101100=>5 [2,8,6,3,5,4,7,1]=>[7,1,3,6,4,5,2,8]=>[1,3,2,2]=>11001010=>5 [3,5,2,8,6,4,7,1]=>[6,4,7,1,3,5,2,8]=>[1,2,3,2]=>11010010=>5 [5,2,4,7,6,1,8,3]=>[4,7,5,2,3,8,1,6]=>[2,1,3,2]=>10110010=>5 [7,3,5,1,6,4,8,2]=>[2,6,4,8,3,5,1,7]=>[2,2,2,2]=>10101010=>7 [7,5,2,3,6,1,4,8]=>[2,4,7,6,3,8,5,1]=>[3,1,2,1,1]=>10011011=>4 [7,5,1,2,4,8,3,6]=>[2,4,8,7,5,1,6,3]=>[3,1,1,2,1]=>10011101=>4 [6,2,5,8,4,7,1,3]=>[3,7,4,1,5,2,8,6]=>[2,1,2,2,1]=>10110101=>6 [5,8,2,3,6,1,4,7]=>[4,1,7,6,3,8,5,2]=>[1,2,1,2,1,1]=>11011011=>4 [5,1,4,7,2,6,8,3]=>[4,8,5,2,7,3,1,6]=>[2,1,2,1,2]=>10110110=>5 [7,1,6,3,2,4,5,8]=>[2,8,3,6,7,5,4,1]=>[2,3,1,1,1]=>10100111=>4 [4,1,6,8,3,2,5,7]=>[5,8,3,1,6,7,4,2]=>[2,1,3,1,1]=>10110011=>4 [2,5,7,1,6,4,8,3]=>[7,4,2,8,3,5,1,6]=>[1,1,2,2,2]=>11101010=>5 [2,4,8,3,7,5,1,6]=>[7,5,1,6,2,4,8,3]=>[1,1,2,3,1]=>11101001=>4 [4,7,6,1,5,2,3,8]=>[5,2,3,8,4,7,6,1]=>[1,3,2,1,1]=>11001011=>4 [3,7,4,6,1,8,5,2]=>[6,2,5,3,8,1,4,7]=>[1,2,2,3]=>11010100=>5 [5,6,2,3,8,1,4,7]=>[4,3,7,6,1,8,5,2]=>[1,2,1,2,1,1]=>11011011=>4 [5,6,1,2,4,7,3,8]=>[4,3,8,7,5,2,6,1]=>[1,2,1,1,2,1]=>11011101=>4 [4,7,1,3,8,6,2,5]=>[5,2,8,6,1,3,7,4]=>[1,2,1,3,1]=>11011001=>4 [2,7,1,4,8,5,6,3]=>[7,2,8,5,1,4,3,6]=>[1,2,1,2,2]=>11011010=>5 [1,6,3,4,7,2,8,5]=>[8,3,6,5,2,7,1,4]=>[1,2,1,2,2]=>11011010=>5 [8,4,6,2,5,3,7,1]=>[1,5,3,7,4,6,2,8]=>[2,2,2,2]=>10101010=>7 [8,3,7,6,2,1,5,4]=>[1,6,2,3,7,8,4,5]=>[2,4,2]=>10100010=>5 [8,5,2,7,6,1,4,3]=>[1,4,7,2,3,8,5,6]=>[3,3,2]=>10010010=>5 [5,8,2,7,6,1,4,3]=>[4,1,7,2,3,8,5,6]=>[1,2,3,2]=>11010010=>5 [8,3,7,6,2,5,1,4]=>[1,6,2,3,7,4,8,5]=>[2,3,2,1]=>10100101=>6 [7,3,8,6,5,1,4,2]=>[2,6,1,3,4,8,5,7]=>[2,4,2]=>10100010=>5 [8,7,1,2,3,4,5,6,9]=>[2,3,9,8,7,6,5,4,1]=>[3,1,1,1,1,1,1]=>100111111=>2 [8,7,6,5,1,2,3,4,9]=>[2,3,4,5,9,8,7,6,1]=>[5,1,1,1,1]=>100001111=>2 [8,6,7,4,5,1,2,3,9]=>[2,4,3,6,5,9,8,7,1]=>[2,2,2,1,1,1]=>101010111=>6 [8,7,6,4,9,2,5,1,3]=>[2,3,4,6,1,8,5,9,7]=>[4,2,2,1]=>100010101=>6 [8,7,6,5,4,2,9,1,3]=>[2,3,4,5,6,8,1,9,7]=>[6,2,1]=>100000101=>4 [6,2,4,7,5,3,8,1]=>[3,7,5,2,4,6,1,8]=>[2,1,3,2]=>10110010=>5 [7,1,3,2,5,8,6,4]=>[2,8,6,7,4,1,3,5]=>[2,2,1,3]=>10101100=>5 [2,6,3,7,5,4,8,1]=>[7,3,6,2,4,5,1,8]=>[1,2,3,2]=>11010010=>5 [3,7,4,5,2,6,8,1]=>[6,2,5,4,7,3,1,8]=>[1,2,2,1,2]=>11010110=>5 [7,1,3,4,5,8,6,2]=>[2,8,6,5,4,1,3,7]=>[2,1,1,1,3]=>10111100=>3 [2,7,5,1,4,8,6,3]=>[7,2,4,8,5,1,3,6]=>[1,3,1,3]=>11001100=>3 [5,4,7,1,3,8,6,2]=>[4,5,2,8,6,1,3,7]=>[2,2,1,3]=>10101100=>5 [7,8,4,6,2,1,3,5]=>[2,1,5,3,7,8,6,4]=>[1,2,3,1,1]=>11010011=>4 [1,8,2,6,4,7,3,5]=>[8,1,7,3,5,2,6,4]=>[1,2,2,2,1]=>11010101=>6 [3,1,7,2,4,8,6,5]=>[6,8,2,7,5,1,3,4]=>[2,2,1,3]=>10101100=>5 [1,6,7,5,2,8,4,3]=>[8,3,2,4,7,1,5,6]=>[1,1,3,3]=>11100100=>3 [7,6,3,1,8,2,5,4]=>[2,3,6,8,1,7,4,5]=>[4,2,2]=>10001010=>5 [8,1,7,6,3,4,2,5]=>[1,8,2,3,6,5,7,4]=>[2,3,2,1]=>10100101=>6 [8,1,4,2,5,7,3,6]=>[1,8,5,7,4,2,6,3]=>[2,2,1,2,1]=>10101101=>6 [7,2,6,5,8,4,3,1]=>[2,7,3,4,1,5,6,8]=>[2,2,4]=>10101000=>5 [8,5,2,3,7,1,4,6]=>[1,4,7,6,2,8,5,3]=>[3,1,2,1,1]=>10011011=>4 [3,4,8,5,6,2,7,1]=>[6,5,1,4,3,7,2,8]=>[1,1,2,2,2]=>11101010=>5 [6,1,3,4,2,5,7,8]=>[3,8,6,5,7,4,2,1]=>[2,1,2,1,1,1]=>10110111=>4 [1,5,6,3,2,4,7,8]=>[8,4,3,6,7,5,2,1]=>[1,1,3,1,1,1]=>11100111=>2 [6,3,5,2,4,1,7,8]=>[3,6,4,7,5,8,2,1]=>[2,2,2,1,1]=>10101011=>6 [7,8,3,5,2,4,6,1]=>[2,1,6,4,7,5,3,8]=>[1,2,2,1,2]=>11010110=>5 [2,4,5,7,3,6,1,8]=>[7,5,4,2,6,3,8,1]=>[1,1,1,2,2,1]=>11110101=>4 [2,5,3,1,6,4,7,8]=>[7,4,6,8,3,5,2,1]=>[1,3,2,1,1]=>11001011=>4 [6,5,1,3,4,2,7,8]=>[3,4,8,6,5,7,2,1]=>[3,1,2,1,1]=>10011011=>4 [5,7,4,3,2,6,1,8]=>[4,2,5,6,7,3,8,1]=>[1,4,2,1]=>11000101=>4 [2,6,7,8,4,3,5,1]=>[7,3,2,1,5,6,4,8]=>[1,1,1,3,2]=>11110010=>3 [1,7,8,4,5,3,6,2]=>[8,2,1,5,4,6,3,7]=>[1,1,2,2,2]=>11101010=>5 [5,7,4,2,1,6,3,8]=>[4,2,5,7,8,3,6,1]=>[1,4,2,1]=>11000101=>4 [5,1,4,7,3,6,2,8]=>[4,8,5,2,6,3,7,1]=>[2,1,2,2,1]=>10110101=>6 [7,4,8,6,3,5,2,1]=>[2,5,1,3,6,4,7,8]=>[2,3,3]=>10100100=>5 [4,7,6,3,5,2,1,8]=>[5,2,3,6,4,7,8,1]=>[1,3,3,1]=>11001001=>4 [1,6,5,8,7,4,2,3]=>[8,3,4,1,2,5,7,6]=>[1,2,4,1]=>11010001=>4 [7,6,2,1,8,3,5,4]=>[2,3,7,8,1,6,4,5]=>[4,2,2]=>10001010=>5 [7,1,3,6,8,2,5,4]=>[2,8,6,3,1,7,4,5]=>[2,1,1,2,2]=>10111010=>5 [1,7,5,6,8,2,4,3]=>[8,2,4,3,1,7,5,6]=>[1,2,1,2,2]=>11011010=>5 [3,6,7,5,8,2,4,1]=>[6,3,2,4,1,7,5,8]=>[1,1,2,2,2]=>11101010=>5 [7,5,4,2,1,8,6,3]=>[2,4,5,7,8,1,3,6]=>[5,3]=>10000100=>3 [3,6,7,4,2,8,5,1]=>[6,3,2,5,7,1,4,8]=>[1,1,3,3]=>11100100=>3 [4,6,3,2,7,8,5,1]=>[5,3,6,7,2,1,4,8]=>[1,3,1,3]=>11001100=>3 [7,6,1,3,4,2,5,8]=>[2,3,8,6,5,7,4,1]=>[3,1,2,1,1]=>10011011=>4 [7,2,5,4,6,1,3,8]=>[2,7,4,5,3,8,6,1]=>[2,2,2,1,1]=>10101011=>6 [7,3,2,1,5,6,4,8]=>[2,6,7,8,4,3,5,1]=>[4,1,2,1]=>10001101=>4 [3,6,2,1,7,5,4,8]=>[6,3,7,8,2,4,5,1]=>[1,3,3,1]=>11001001=>4 [2,6,7,3,1,5,4,8]=>[7,3,2,6,8,4,5,1]=>[1,1,3,2,1]=>11100101=>4 [2,1,6,4,7,5,3,8]=>[7,8,3,5,2,4,6,1]=>[2,2,3,1]=>10101001=>6 [7,6,8,5,4,1,3,2]=>[2,3,1,4,5,8,6,7]=>[2,4,2]=>10100010=>5 [7,1,8,4,6,5,3,2]=>[2,8,1,5,3,4,6,7]=>[2,2,4]=>10101000=>5 [7,6,1,4,5,3,2,8]=>[2,3,8,5,4,6,7,1]=>[3,1,3,1]=>10011001=>4 [7,1,5,6,4,3,2,8]=>[2,8,4,3,5,6,7,1]=>[2,1,4,1]=>10110001=>4 [3,5,8,2,1,6,7,4]=>[6,4,1,7,8,3,2,5]=>[1,1,3,1,2]=>11100110=>3 [5,1,2,8,4,6,7,3]=>[4,8,7,1,5,3,2,6]=>[2,1,2,1,2]=>10110110=>5 [5,6,3,2,8,1,7,4]=>[4,3,6,7,1,8,2,5]=>[1,3,2,2]=>11001010=>5 [8,2,6,3,1,5,7,4]=>[1,7,3,6,8,4,2,5]=>[2,3,1,2]=>10100110=>5 [8,2,5,3,6,1,7,4]=>[1,7,4,6,3,8,2,5]=>[2,2,2,2]=>10101010=>7 [5,1,2,4,6,8,7,3]=>[4,8,7,5,3,1,2,6]=>[2,1,1,1,3]=>10111100=>3 [8,2,5,6,7,4,3,1]=>[1,7,4,3,2,5,6,8]=>[2,1,1,4]=>10111000=>3 [7,5,3,2,4,1,8,6]=>[2,4,6,7,5,8,1,3]=>[4,2,2]=>10001010=>5 [7,1,2,3,6,8,4,5]=>[2,8,7,6,3,1,5,4]=>[2,1,1,1,2,1]=>10111101=>4 [8,2,5,3,4,1,6,7]=>[1,7,4,6,5,8,3,2]=>[2,2,2,1,1]=>10101011=>6 [5,7,3,6,8,4,1,2]=>[4,2,6,3,1,5,8,7]=>[1,2,1,3,1]=>11011001=>4 [7,1,6,8,5,3,4,2]=>[2,8,3,1,4,6,5,7]=>[2,1,3,2]=>10110010=>5 [3,1,8,4,6,5,2,7]=>[6,8,1,5,3,4,7,2]=>[2,2,3,1]=>10101001=>6 [4,1,3,8,6,5,2,7]=>[5,8,6,1,3,4,7,2]=>[2,1,4,1]=>10110001=>4 [8,2,4,1,6,5,7,3]=>[1,7,5,8,3,4,2,6]=>[2,2,2,2]=>10101010=>7 [3,1,8,4,6,5,7,2]=>[6,8,1,5,3,4,2,7]=>[2,2,2,2]=>10101010=>7 [7,6,2,8,3,1,5,4]=>[2,3,7,1,6,8,4,5]=>[3,3,2]=>10010010=>5 [7,1,6,8,5,3,2,4]=>[2,8,3,1,4,6,7,5]=>[2,1,4,1]=>10110001=>4 [7,1,6,4,8,3,2,5]=>[2,8,3,5,1,6,7,4]=>[2,2,3,1]=>10101001=>6 [6,1,2,3,8,4,7,5]=>[3,8,7,6,1,5,2,4]=>[2,1,1,2,2]=>10111010=>5 [6,5,2,4,3,1,8,7]=>[3,4,7,5,6,8,1,2]=>[3,3,2]=>10010010=>5 [8,2,5,3,4,6,1,7]=>[1,7,4,6,5,3,8,2]=>[2,2,1,2,1]=>10101101=>6 [8,2,5,3,4,6,7,1]=>[1,7,4,6,5,3,2,8]=>[2,2,1,1,2]=>10101110=>5 [6,5,2,4,3,1,7,8]=>[3,4,7,5,6,8,2,1]=>[3,3,1,1]=>10010011=>4 [8,1,6,7,4,2,5,3]=>[1,8,3,2,5,7,4,6]=>[2,1,3,2]=>10110010=>5 [8,1,6,7,4,2,3,5]=>[1,8,3,2,5,7,6,4]=>[2,1,3,1,1]=>10110011=>4 [8,1,6,4,5,2,3,7]=>[1,8,3,5,4,7,6,2]=>[2,2,2,1,1]=>10101011=>6 [8,1,6,4,5,2,7,3]=>[1,8,3,5,4,7,2,6]=>[2,2,2,2]=>10101010=>7 [8,6,4,7,2,3,5,1]=>[1,3,5,2,7,6,4,8]=>[3,2,1,2]=>10010110=>5 [8,6,4,1,2,3,7,5]=>[1,3,5,8,7,6,2,4]=>[4,1,1,2]=>10001110=>3 [8,6,1,4,2,5,7,3]=>[1,3,8,5,7,4,2,6]=>[3,2,1,2]=>10010110=>5 [8,6,1,4,5,2,7,3]=>[1,3,8,5,4,7,2,6]=>[3,1,2,2]=>10011010=>5 [8,6,7,4,2,5,1,3]=>[1,3,2,5,7,4,8,6]=>[2,3,2,1]=>10100101=>6 [8,6,4,2,5,3,7,1]=>[1,3,5,7,4,6,2,8]=>[4,2,2]=>10001010=>5 [8,6,4,2,5,3,1,7]=>[1,3,5,7,4,6,8,2]=>[4,3,1]=>10001001=>4 [8,6,4,2,7,3,1,5]=>[1,3,5,7,2,6,8,4]=>[4,3,1]=>10001001=>4 [8,6,4,1,5,7,2,3]=>[1,3,5,8,4,2,7,6]=>[4,1,2,1]=>10001101=>4 [8,6,4,2,1,5,7,3]=>[1,3,5,7,8,4,2,6]=>[5,1,2]=>10000110=>3 [8,6,4,2,1,7,3,5]=>[1,3,5,7,8,2,6,4]=>[5,2,1]=>10000101=>4 [8,6,1,4,7,2,5,3]=>[1,3,8,5,2,7,4,6]=>[3,1,2,2]=>10011010=>5 [8,6,4,1,5,2,3,7]=>[1,3,5,8,4,7,6,2]=>[4,2,1,1]=>10001011=>4 [8,6,1,4,7,2,3,5]=>[1,3,8,5,2,7,6,4]=>[3,1,2,1,1]=>10011011=>4 [8,6,7,1,4,5,2,3]=>[1,3,2,8,5,4,7,6]=>[2,2,1,2,1]=>10101101=>6 [8,6,4,5,2,7,3,1]=>[1,3,5,4,7,2,6,8]=>[3,2,3]=>10010100=>5 [8,6,7,4,2,1,5,3]=>[1,3,2,5,7,8,4,6]=>[2,4,2]=>10100010=>5 [8,6,4,7,2,1,5,3]=>[1,3,5,2,7,8,4,6]=>[3,3,2]=>10010010=>5 [8,6,4,2,5,7,3,1]=>[1,3,5,7,4,2,6,8]=>[4,1,3]=>10001100=>3 [8,6,4,2,5,1,7,3]=>[1,3,5,7,4,8,2,6]=>[4,2,2]=>10001010=>5 [8,6,4,5,1,2,7,3]=>[1,3,5,4,8,7,2,6]=>[3,2,1,2]=>10010110=>5 [8,6,4,2,5,7,1,3]=>[1,3,5,7,4,2,8,6]=>[4,1,2,1]=>10001101=>4 [3,4,7,5,8,2,6,1]=>[6,5,2,4,1,7,3,8]=>[1,1,2,2,2]=>11101010=>5 [8,7,1,4,6,5,2,3]=>[1,2,8,5,3,4,7,6]=>[3,1,3,1]=>10011001=>4 [8,3,7,6,4,5,1,2]=>[1,6,2,3,5,4,8,7]=>[2,3,2,1]=>10100101=>6 [5,3,8,6,4,1,7,2]=>[4,6,1,3,5,8,2,7]=>[2,4,2]=>10100010=>5 [6,1,2,3,4,5,7,8,9]=>[4,9,8,7,6,5,3,2,1]=>[2,1,1,1,1,1,1,1]=>101111111=>2 [5,1,2,3,4,6,7,8,9]=>[5,9,8,7,6,4,3,2,1]=>[2,1,1,1,1,1,1,1]=>101111111=>2 [4,1,2,3,5,6,7,8,9]=>[6,9,8,7,5,4,3,2,1]=>[2,1,1,1,1,1,1,1]=>101111111=>2 [7,4,5,1,2,8,6,3]=>[2,5,4,8,7,1,3,6]=>[2,2,1,3]=>10101100=>5 [6,4,7,1,8,5,2,3]=>[3,5,2,8,1,4,7,6]=>[2,2,3,1]=>10101001=>6 [5,7,4,2,3,8,6,1]=>[4,2,5,7,6,1,3,8]=>[1,3,1,3]=>11001100=>3 [3,8,2,5,1,7,4,6]=>[6,1,7,4,8,2,5,3]=>[1,2,2,2,1]=>11010101=>6 [5,8,4,2,3,7,1,6]=>[4,1,5,7,6,2,8,3]=>[1,3,1,2,1]=>11001101=>4 [4,8,5,2,1,7,3,6]=>[5,1,4,7,8,2,6,3]=>[1,4,2,1]=>11000101=>4 [8,5,7,6,1,2,4,3]=>[1,4,2,3,8,7,5,6]=>[2,3,1,2]=>10100110=>5 [6,8,7,5,2,4,1,3]=>[3,1,2,4,7,5,8,6]=>[1,4,2,1]=>11000101=>4 [5,7,6,8,4,1,3,2]=>[4,2,3,1,5,8,6,7]=>[1,2,3,2]=>11010010=>5 [7,3,1,6,8,5,4,2]=>[2,6,8,3,1,4,5,7]=>[3,1,4]=>10011000=>3 [5,3,1,7,4,8,6,2]=>[4,6,8,2,5,1,3,7]=>[3,2,3]=>10010100=>5 [7,3,1,8,6,4,5,2]=>[2,6,8,1,3,5,4,7]=>[3,3,2]=>10010010=>5 [8,6,4,1,7,3,2,5]=>[1,3,5,8,2,6,7,4]=>[4,3,1]=>10001001=>4 [4,6,8,3,7,1,2,5]=>[5,3,1,6,2,8,7,4]=>[1,1,2,2,1,1]=>11101011=>4 [3,5,2,8,4,7,1,6]=>[6,4,7,1,5,2,8,3]=>[1,2,2,2,1]=>11010101=>6 [6,4,8,3,7,2,1,5]=>[3,5,1,6,2,7,8,4]=>[2,2,3,1]=>10101001=>6 [3,6,2,8,7,4,1,5]=>[6,3,7,1,2,5,8,4]=>[1,2,4,1]=>11010001=>4 [6,8,4,2,7,3,1,5]=>[3,1,5,7,2,6,8,4]=>[1,3,3,1]=>11001001=>4 [5,4,8,6,7,3,2,1]=>[4,5,1,3,2,6,7,8]=>[2,2,4]=>10101000=>5 [9,8,2,3,4,5,6,7,1]=>[1,2,8,7,6,5,4,3,9]=>[3,1,1,1,1,2]=>100111110=>3 [8,9,2,3,4,5,6,7,1]=>[2,1,8,7,6,5,4,3,9]=>[1,2,1,1,1,1,2]=>110111110=>3 [9,8,7,6,4,5,3,2,1]=>[1,2,3,4,6,5,7,8,9]=>[5,4]=>100001000=>3 [5,6,9,8,7,4,3,2,1]=>[5,4,1,2,3,6,7,8,9]=>[1,1,7]=>111000000=>1 [5,6,7,9,8,4,3,2,1]=>[5,4,3,1,2,6,7,8,9]=>[1,1,1,6]=>111100000=>1 [3,4,7,8,5,1,2,6]=>[6,5,2,1,4,8,7,3]=>[1,1,1,3,1,1]=>11110011=>2 [4,7,3,2,5,6,8,1]=>[5,2,6,7,4,3,1,8]=>[1,3,1,1,2]=>11001110=>3 [3,2,7,6,4,5,8,1]=>[6,7,2,3,5,4,1,8]=>[2,3,1,2]=>10100110=>5 [1,7,3,6,8,4,2,5]=>[8,2,6,3,1,5,7,4]=>[1,2,1,3,1]=>11011001=>4 [2,3,6,5,1,8,7,4]=>[7,6,3,4,8,1,2,5]=>[1,1,3,3]=>11100100=>3 [8,3,1,2,6,4,7,5]=>[1,6,8,7,3,5,2,4]=>[3,1,2,2]=>10011010=>5 [1,7,8,2,4,3,5,6]=>[8,2,1,7,5,6,4,3]=>[1,1,2,2,1,1]=>11101011=>4 [3,6,4,7,1,2,8,5]=>[6,3,5,2,8,7,1,4]=>[1,2,2,1,2]=>11010110=>5 [5,7,4,8,1,3,2,6]=>[4,2,5,1,8,6,7,3]=>[1,2,2,2,1]=>11010101=>6 [4,3,7,8,1,5,2,6]=>[5,6,2,1,8,4,7,3]=>[2,1,2,2,1]=>10110101=>6 [8,5,4,2,6,1,7,3]=>[1,4,5,7,3,8,2,6]=>[4,2,2]=>10001010=>5 [3,2,6,8,7,4,1,5]=>[6,7,3,1,2,5,8,4]=>[2,1,4,1]=>10110001=>4 [2,3,7,5,1,8,6,4]=>[7,6,2,4,8,1,3,5]=>[1,1,3,3]=>11100100=>3 [6,3,1,2,8,7,4,5]=>[3,6,8,7,1,2,5,4]=>[3,1,3,1]=>10011001=>4 [4,3,6,8,1,5,2,7]=>[5,6,3,1,8,4,7,2]=>[2,1,2,2,1]=>10110101=>6 [5,4,6,8,3,1,7,2]=>[4,5,3,1,6,8,2,7]=>[2,1,3,2]=>10110010=>5 [3,6,8,4,5,1,7,2]=>[6,3,1,5,4,8,2,7]=>[1,1,2,2,2]=>11101010=>5 [8,6,1,7,2,4,3,5]=>[1,3,8,2,7,5,6,4]=>[3,2,2,1]=>10010101=>6 [7,3,1,2,8,6,4,5]=>[2,6,8,7,1,3,5,4]=>[3,1,3,1]=>10011001=>4 [2,3,7,6,1,8,5,4]=>[7,6,2,3,8,1,4,5]=>[1,1,3,3]=>11100100=>3 [6,2,8,3,1,4,7,5]=>[3,7,1,6,8,5,2,4]=>[2,3,1,2]=>10100110=>5 [3,1,2,8,7,4,5,6]=>[6,8,7,1,2,5,4,3]=>[2,1,3,1,1]=>10110011=>4 [2,1,3,8,7,4,6,5]=>[7,8,6,1,2,5,3,4]=>[2,1,3,2]=>10110010=>5 [2,1,3,8,7,4,5,6]=>[7,8,6,1,2,5,4,3]=>[2,1,3,1,1]=>10110011=>4 [1,6,8,3,2,4,7,5]=>[8,3,1,6,7,5,2,4]=>[1,1,3,1,2]=>11100110=>3 [8,4,1,7,3,2,5,6]=>[1,5,8,2,6,7,4,3]=>[3,3,1,1]=>10010011=>4 [8,3,1,6,2,7,5,4]=>[1,6,8,3,7,2,4,5]=>[3,2,3]=>10010100=>5 [1,3,2,8,7,6,4,5]=>[8,6,7,1,2,3,5,4]=>[1,2,4,1]=>11010001=>4 [2,1,3,8,7,6,4,5]=>[7,8,6,1,2,3,5,4]=>[2,1,4,1]=>10110001=>4 [1,7,2,6,3,5,8,4]=>[8,2,7,3,6,4,1,5]=>[1,2,2,1,2]=>11010110=>5 [1,7,8,2,6,3,5,4]=>[8,2,1,7,3,6,4,5]=>[1,1,2,2,2]=>11101010=>5 [1,6,3,7,2,5,4,8]=>[8,3,6,2,7,4,5,1]=>[1,2,2,2,1]=>11010101=>6 [1,7,2,6,8,3,4,5]=>[8,2,7,3,1,6,5,4]=>[1,2,1,2,1,1]=>11011011=>4 [1,7,2,4,6,3,5,8]=>[8,2,7,5,3,6,4,1]=>[1,2,1,2,1,1]=>11011011=>4 [4,7,6,5,8,3,1,2]=>[5,2,3,4,1,6,8,7]=>[1,3,3,1]=>11001001=>4 [5,7,2,8,4,1,3,6]=>[4,2,7,1,5,8,6,3]=>[1,2,3,1,1]=>11010011=>4 [3,6,8,4,2,1,7,5]=>[6,3,1,5,7,8,2,4]=>[1,1,4,2]=>11100010=>3 [2,6,8,3,1,5,4,7]=>[7,3,1,6,8,4,5,2]=>[1,1,3,2,1]=>11100101=>4 [2,6,8,3,1,4,5,7]=>[7,3,1,6,8,5,4,2]=>[1,1,3,1,1,1]=>11100111=>2 [2,6,8,4,5,1,3,7]=>[7,3,1,5,4,8,6,2]=>[1,1,2,2,1,1]=>11101011=>4 [5,6,2,8,4,1,3,7]=>[4,3,7,1,5,8,6,2]=>[1,2,3,1,1]=>11010011=>4 [6,3,7,8,2,1,5,4]=>[3,6,2,1,7,8,4,5]=>[2,1,3,2]=>10110010=>5 [2,4,8,3,1,6,7,5]=>[7,5,1,6,8,3,2,4]=>[1,1,3,1,2]=>11100110=>3 [3,4,2,6,1,5,8,7]=>[6,5,7,3,8,4,1,2]=>[1,2,2,1,2]=>11010110=>5 [2,5,8,3,1,6,4,7]=>[7,4,1,6,8,3,5,2]=>[1,1,3,2,1]=>11100101=>4 [3,5,8,4,2,1,6,7]=>[6,4,1,5,7,8,3,2]=>[1,1,4,1,1]=>11100011=>2 [2,5,8,3,1,4,6,7]=>[7,4,1,6,8,5,3,2]=>[1,1,3,1,1,1]=>11100111=>2 [3,4,2,7,1,6,5,8]=>[6,5,7,2,8,3,4,1]=>[1,2,2,2,1]=>11010101=>6 [2,7,5,6,8,1,4,3]=>[7,2,4,3,1,8,5,6]=>[1,2,1,2,2]=>11011010=>5 [3,2,6,7,1,5,8,4]=>[6,7,3,2,8,4,1,5]=>[2,1,2,1,2]=>10110110=>5 [2,8,1,3,5,7,4,6]=>[7,1,8,6,4,2,5,3]=>[1,2,1,1,2,1]=>11011101=>4 [2,8,7,1,4,3,5,6]=>[7,1,2,8,5,6,4,3]=>[1,3,2,1,1]=>11001011=>4 [8,7,4,6,1,3,2,5]=>[1,2,5,3,8,6,7,4]=>[3,2,2,1]=>10010101=>6 [7,3,8,6,1,4,5,2]=>[2,6,1,3,8,5,4,7]=>[2,3,1,2]=>10100110=>5 [5,4,7,8,3,2,6,1]=>[4,5,2,1,6,7,3,8]=>[2,1,3,2]=>10110010=>5 [3,2,5,4,6,8,1,7]=>[6,7,4,5,3,1,8,2]=>[2,2,1,2,1]=>10101101=>6 [7,4,5,8,3,1,6,2]=>[2,5,4,1,6,8,3,7]=>[2,1,3,2]=>10110010=>5 [8,4,5,7,3,1,2,6]=>[1,5,4,2,6,8,7,3]=>[2,1,3,1,1]=>10110011=>4 [3,4,8,5,7,1,2,6]=>[6,5,1,4,2,8,7,3]=>[1,1,2,2,1,1]=>11101011=>4 [3,6,8,2,5,1,4,7]=>[6,3,1,7,4,8,5,2]=>[1,1,2,2,1,1]=>11101011=>4 [3,6,8,7,2,5,4,1]=>[6,3,1,2,7,4,5,8]=>[1,1,3,3]=>11100100=>3 [3,5,7,2,8,1,6,4]=>[6,4,2,7,1,8,3,5]=>[1,1,2,2,2]=>11101010=>5 [3,4,7,5,8,1,6,2]=>[6,5,2,4,1,8,3,7]=>[1,1,2,2,2]=>11101010=>5 [3,4,6,5,8,2,1,7]=>[6,5,3,4,1,7,8,2]=>[1,1,2,3,1]=>11101001=>4 [2,4,6,7,8,3,5,1]=>[7,5,3,2,1,6,4,8]=>[1,1,1,1,2,2]=>11111010=>3 [1,2,6,8,3,5,4,7]=>[8,7,3,1,6,4,5,2]=>[1,1,1,2,2,1]=>11110101=>4 [1,5,3,2,4,6,8,7]=>[8,4,6,7,5,3,1,2]=>[1,3,1,1,2]=>11001110=>3 [1,5,7,6,3,2,4,8]=>[8,4,2,3,6,7,5,1]=>[1,1,4,1,1]=>11100011=>2 [1,6,3,2,4,7,5,8]=>[8,3,6,7,5,2,4,1]=>[1,3,1,2,1]=>11001101=>4 [1,6,3,2,4,8,7,5]=>[8,3,6,7,5,1,2,4]=>[1,3,1,3]=>11001100=>3 [1,2,7,6,4,3,5,8]=>[8,7,2,3,5,6,4,1]=>[1,1,4,1,1]=>11100011=>2 [1,8,7,5,2,4,6,3]=>[8,1,2,4,7,5,3,6]=>[1,4,1,2]=>11000110=>3 [1,8,4,7,5,2,6,3]=>[8,1,5,2,4,7,3,6]=>[1,2,3,2]=>11010010=>5 [1,7,5,2,6,3,4,8]=>[8,2,4,7,3,6,5,1]=>[1,3,2,1,1]=>11001011=>4 [1,6,3,2,7,5,4,8]=>[8,3,6,7,2,4,5,1]=>[1,3,3,1]=>11001001=>4 [1,3,6,4,8,7,5,2]=>[8,6,3,5,1,2,4,7]=>[1,1,2,4]=>11101000=>3 [1,3,7,6,4,2,5,8]=>[8,6,2,3,5,7,4,1]=>[1,1,4,1,1]=>11100011=>2 [1,3,2,4,8,5,7,6]=>[8,6,7,5,1,4,2,3]=>[1,2,1,2,2]=>11011010=>5 [1,3,8,7,5,2,4,6]=>[8,6,1,2,4,7,5,3]=>[1,1,4,1,1]=>11100011=>2 [1,4,6,3,2,7,5,8]=>[8,5,3,6,7,2,4,1]=>[1,1,3,2,1]=>11100101=>4 [1,4,6,3,2,8,7,5]=>[8,5,3,6,7,1,2,4]=>[1,1,3,3]=>11100100=>3 [1,5,7,6,4,2,3,8]=>[8,4,2,3,5,7,6,1]=>[1,1,4,1,1]=>11100011=>2 [1,6,3,2,8,4,7,5]=>[8,3,6,7,1,5,2,4]=>[1,3,2,2]=>11001010=>5 [1,6,3,5,2,7,4,8]=>[8,3,6,4,7,2,5,1]=>[1,2,2,2,1]=>11010101=>6 [1,6,3,5,2,8,7,4]=>[8,3,6,4,7,1,2,5]=>[1,2,2,3]=>11010100=>5 [1,8,3,7,5,2,4,6]=>[8,1,6,2,4,7,5,3]=>[1,2,3,1,1]=>11010011=>4 [6,4,7,1,5,3,8,2]=>[3,5,2,8,4,6,1,7]=>[2,2,2,2]=>10101010=>7 [5,3,8,2,6,4,7,1]=>[4,6,1,7,3,5,2,8]=>[2,2,2,2]=>10101010=>7 [4,3,8,2,6,5,7,1]=>[5,6,1,7,3,4,2,8]=>[2,2,2,2]=>10101010=>7 [2,6,1,8,3,4,7,5]=>[7,3,8,1,6,5,2,4]=>[1,2,2,1,2]=>11010110=>5 [1,6,2,8,3,4,7,5]=>[8,3,7,1,6,5,2,4]=>[1,2,2,1,2]=>11010110=>5 [5,7,1,4,8,2,3,6]=>[4,2,8,5,1,7,6,3]=>[1,2,1,2,1,1]=>11011011=>4 [6,5,7,1,4,3,8,2]=>[3,4,2,8,5,6,1,7]=>[2,2,2,2]=>10101010=>7 [7,1,8,2,3,4,6,5]=>[2,8,1,7,6,5,3,4]=>[2,2,1,1,2]=>10101110=>5 [4,8,3,5,7,6,1,2]=>[5,1,6,4,2,3,8,7]=>[1,2,1,3,1]=>11011001=>4 [5,7,6,1,2,4,8,3]=>[4,2,3,8,7,5,1,6]=>[1,3,1,1,2]=>11001110=>3 [4,8,3,5,7,6,2,1]=>[5,1,6,4,2,3,7,8]=>[1,2,1,4]=>11011000=>3 [3,4,2,1,8,5,7,6]=>[6,5,7,8,1,4,2,3]=>[1,3,2,2]=>11001010=>5 [6,7,5,1,2,8,4,3]=>[3,2,4,8,7,1,5,6]=>[1,3,1,3]=>11001100=>3 [1,3,4,2,8,5,7,6]=>[8,6,5,7,1,4,2,3]=>[1,1,2,2,2]=>11101010=>5 [7,5,1,8,4,2,3,6]=>[2,4,8,1,5,7,6,3]=>[3,3,1,1]=>10010011=>4 [5,7,6,1,4,8,3,2]=>[4,2,3,8,5,1,6,7]=>[1,3,1,3]=>11001100=>3 [2,5,3,1,8,4,7,6]=>[7,4,6,8,1,5,2,3]=>[1,3,2,2]=>11001010=>5 [5,7,6,2,4,8,3,1]=>[4,2,3,7,5,1,6,8]=>[1,3,1,3]=>11001100=>3 [6,7,5,2,3,8,4,1]=>[3,2,4,7,6,1,5,8]=>[1,3,1,3]=>11001100=>3 [6,7,5,3,8,4,2,1]=>[3,2,4,6,1,5,7,8]=>[1,3,4]=>11001000=>3 [3,2,1,4,8,5,7,6]=>[6,7,8,5,1,4,2,3]=>[3,1,2,2]=>10011010=>5 [7,6,1,3,2,5,4,8]=>[2,3,8,6,7,4,5,1]=>[3,2,2,1]=>10010101=>6 [7,6,1,4,2,5,3,8]=>[2,3,8,5,7,4,6,1]=>[3,2,2,1]=>10010101=>6 [7,2,1,5,3,6,4,8]=>[2,7,8,4,6,3,5,1]=>[3,2,2,1]=>10010101=>6 [7,4,1,6,2,5,3,8]=>[2,5,8,3,7,4,6,1]=>[3,2,2,1]=>10010101=>6 [7,6,2,5,1,4,3,8]=>[2,3,7,4,8,5,6,1]=>[3,2,2,1]=>10010101=>6 [5,7,2,6,1,4,3,8]=>[4,2,7,3,8,5,6,1]=>[1,2,2,2,1]=>11010101=>6 [6,7,2,5,1,4,3,8]=>[3,2,7,4,8,5,6,1]=>[1,2,2,2,1]=>11010101=>6 [6,3,1,8,2,5,4,7]=>[3,6,8,1,7,4,5,2]=>[3,2,2,1]=>10010101=>6 [6,4,1,8,2,5,3,7]=>[3,5,8,1,7,4,6,2]=>[3,2,2,1]=>10010101=>6 [5,4,1,8,2,6,3,7]=>[4,5,8,1,7,3,6,2]=>[3,2,2,1]=>10010101=>6 [5,3,1,8,2,6,4,7]=>[4,6,8,1,7,3,5,2]=>[3,2,2,1]=>10010101=>6 [5,3,1,7,2,6,4,8]=>[4,6,8,2,7,3,5,1]=>[3,2,2,1]=>10010101=>6 [6,3,1,5,2,7,4,8]=>[3,6,8,4,7,2,5,1]=>[3,2,2,1]=>10010101=>6 [6,5,1,4,2,7,3,8]=>[3,4,8,5,7,2,6,1]=>[3,2,2,1]=>10010101=>6 [6,4,1,3,2,7,5,8]=>[3,5,8,6,7,2,4,1]=>[3,2,2,1]=>10010101=>6 [6,2,1,4,3,7,5,8]=>[3,7,8,5,6,2,4,1]=>[3,2,2,1]=>10010101=>6 [5,6,1,3,2,8,4,7]=>[4,3,8,6,7,1,5,2]=>[1,2,2,2,1]=>11010101=>6 [5,6,1,4,2,8,3,7]=>[4,3,8,5,7,1,6,2]=>[1,2,2,2,1]=>11010101=>6 [6,5,1,4,2,8,3,7]=>[3,4,8,5,7,1,6,2]=>[3,2,2,1]=>10010101=>6 [5,4,1,8,3,7,2,6]=>[4,5,8,1,6,2,7,3]=>[3,2,2,1]=>10010101=>6 [5,2,1,8,4,7,3,6]=>[4,7,8,1,5,2,6,3]=>[3,2,2,1]=>10010101=>6 [1,8,7,3,4,5,2,6]=>[8,1,2,6,5,4,7,3]=>[1,3,1,2,1]=>11001101=>4 [1,8,7,4,5,2,3,6]=>[8,1,2,5,4,7,6,3]=>[1,3,2,1,1]=>11001011=>4 [1,3,7,8,4,5,6,2]=>[8,6,2,1,5,4,3,7]=>[1,1,1,2,1,2]=>11110110=>3 [8,4,2,3,1,6,5,7]=>[1,5,7,6,8,3,4,2]=>[3,2,2,1]=>10010101=>6 [8,4,2,3,6,5,1,7]=>[1,5,7,6,3,4,8,2]=>[3,1,3,1]=>10011001=>4 [6,4,5,2,1,8,3,7]=>[3,5,4,7,8,1,6,2]=>[2,3,2,1]=>10100101=>6 [6,4,5,2,8,1,7,3]=>[3,5,4,7,1,8,2,6]=>[2,2,2,2]=>10101010=>7 [4,8,6,2,3,1,7,5]=>[5,1,3,7,6,8,2,4]=>[1,3,2,2]=>11001010=>5 [4,6,2,3,1,8,7,5]=>[5,3,7,6,8,1,2,4]=>[1,2,2,3]=>11010100=>5 [6,4,2,8,5,3,7,1]=>[3,5,7,1,4,6,2,8]=>[3,3,2]=>10010010=>5 [6,4,2,1,8,5,3,7]=>[3,5,7,8,1,4,6,2]=>[4,3,1]=>10001001=>4 [4,2,6,1,5,8,3,7]=>[5,7,3,8,4,1,6,2]=>[2,2,1,2,1]=>10101101=>6 [6,4,5,2,8,7,1,3]=>[3,5,4,7,1,2,8,6]=>[2,2,3,1]=>10101001=>6 [4,2,3,6,5,8,1,7]=>[5,7,6,3,4,1,8,2]=>[2,1,2,2,1]=>10110101=>6 [6,4,2,3,5,8,1,7]=>[3,5,7,6,4,1,8,2]=>[3,1,1,2,1]=>10011101=>4 [6,4,2,3,1,8,5,7]=>[3,5,7,6,8,1,4,2]=>[3,2,2,1]=>10010101=>6 [6,4,2,3,1,5,8,7]=>[3,5,7,6,8,4,1,2]=>[3,2,1,2]=>10010110=>5 [8,6,2,1,4,3,7,5]=>[1,3,7,8,5,6,2,4]=>[4,2,2]=>10001010=>5 [2,8,6,4,5,1,7,3]=>[7,1,3,5,4,8,2,6]=>[1,3,2,2]=>11001010=>5 [8,6,2,1,4,7,3,5]=>[1,3,7,8,5,2,6,4]=>[4,1,2,1]=>10001101=>4 [6,4,2,1,8,3,7,5]=>[3,5,7,8,1,6,2,4]=>[4,2,2]=>10001010=>5 [6,4,8,2,5,7,3,1]=>[3,5,1,7,4,2,6,8]=>[2,2,1,3]=>10101100=>5 [8,2,4,6,7,1,5,3]=>[1,7,5,3,2,8,4,6]=>[2,1,1,2,2]=>10111010=>5 [8,6,7,2,1,4,5,3]=>[1,3,2,7,8,5,4,6]=>[2,3,1,2]=>10100110=>5 [2,8,6,1,4,3,7,5]=>[7,1,3,8,5,6,2,4]=>[1,3,2,2]=>11001010=>5 [2,8,6,4,3,7,5,1]=>[7,1,3,5,6,2,4,8]=>[1,4,3]=>11000100=>3 [2,6,3,1,7,4,8,5]=>[7,3,6,8,2,5,1,4]=>[1,3,2,2]=>11001010=>5 [4,3,2,6,1,8,7,5]=>[5,6,7,3,8,1,2,4]=>[3,2,3]=>10010100=>5 [6,5,1,8,3,2,7,4]=>[3,4,8,1,6,7,2,5]=>[3,3,2]=>10010010=>5 [1,3,7,4,5,2,8,6]=>[8,6,2,5,4,7,1,3]=>[1,1,2,2,2]=>11101010=>5 [3,6,1,2,5,8,7,4]=>[6,3,8,7,4,1,2,5]=>[1,2,1,1,3]=>11011100=>3 [8,1,7,5,4,6,3,2]=>[1,8,2,4,5,3,6,7]=>[2,3,3]=>10100100=>5 [4,1,7,3,8,6,5,2]=>[5,8,2,6,1,3,4,7]=>[2,2,4]=>10101000=>5 [1,4,3,7,2,8,6,5]=>[8,5,6,2,7,1,3,4]=>[1,2,2,3]=>11010100=>5 [2,8,3,1,4,5,7,6]=>[7,1,6,8,5,4,2,3]=>[1,3,1,1,2]=>11001110=>3 [6,1,7,2,8,4,5,3]=>[3,8,2,7,1,5,4,6]=>[2,2,2,2]=>10101010=>7 [8,3,2,1,5,6,7,4]=>[1,6,7,8,4,3,2,5]=>[4,1,1,2]=>10001110=>3 [1,7,4,6,3,8,2,5]=>[8,2,5,3,6,1,7,4]=>[1,2,2,2,1]=>11010101=>6 [5,6,4,1,3,8,2,7]=>[4,3,5,8,6,1,7,2]=>[1,3,1,2,1]=>11001101=>4 [7,2,6,3,5,8,1,4]=>[2,7,3,6,4,1,8,5]=>[2,2,1,2,1]=>10101101=>6 [4,5,3,1,8,7,6,2]=>[5,4,6,8,1,2,3,7]=>[1,3,4]=>11001000=>3 [6,3,4,2,7,8,5,1]=>[3,6,5,7,2,1,4,8]=>[2,2,1,3]=>10101100=>5 [1,4,3,8,5,2,7,6]=>[8,5,6,1,4,7,2,3]=>[1,2,3,2]=>11010010=>5 [8,7,4,5,1,6,3,2]=>[1,2,5,4,8,3,6,7]=>[3,2,3]=>10010100=>5 [6,2,7,8,1,3,5,4]=>[3,7,2,1,8,6,4,5]=>[2,1,2,1,2]=>10110110=>5 [4,3,2,8,6,1,7,5]=>[5,6,7,1,3,8,2,4]=>[3,3,2]=>10010010=>5 [5,1,8,4,3,7,2,6]=>[4,8,1,5,6,2,7,3]=>[2,3,2,1]=>10100101=>6 [7,2,8,1,3,4,6,5]=>[2,7,1,8,6,5,3,4]=>[2,2,1,1,2]=>10101110=>5 [1,4,8,3,5,6,7,2]=>[8,5,1,6,4,3,2,7]=>[1,1,2,1,1,2]=>11101110=>3 [7,2,8,1,4,5,6,3]=>[2,7,1,8,5,4,3,6]=>[2,2,1,1,2]=>10101110=>5 [2,1,8,3,4,5,7,6]=>[7,8,1,6,5,4,2,3]=>[2,2,1,1,2]=>10101110=>5 [5,8,2,3,1,7,4,6]=>[4,1,7,6,8,2,5,3]=>[1,2,2,2,1]=>11010101=>6 [8,1,6,7,2,5,4,3]=>[1,8,3,2,7,4,5,6]=>[2,1,2,3]=>10110100=>5 [2,5,8,3,6,1,4,7]=>[7,4,1,6,3,8,5,2]=>[1,1,2,2,1,1]=>11101011=>4 [8,1,4,6,5,3,2,7]=>[1,8,5,3,4,6,7,2]=>[2,1,4,1]=>10110001=>4 [8,1,5,2,3,4,7,6]=>[1,8,4,7,6,5,2,3]=>[2,2,1,1,2]=>10101110=>5 [8,1,4,7,6,5,2,3]=>[1,8,5,2,3,4,7,6]=>[2,1,4,1]=>10110001=>4 [8,1,3,7,5,2,4,6]=>[1,8,6,2,4,7,5,3]=>[2,1,3,1,1]=>10110011=>4 [8,1,3,6,7,5,2,4]=>[1,8,6,3,2,4,7,5]=>[2,1,1,3,1]=>10111001=>4 [8,1,2,7,6,5,4,3]=>[1,8,7,2,3,4,5,6]=>[2,1,5]=>10110000=>3 [7,2,3,6,8,5,1,4]=>[2,7,6,3,1,4,8,5]=>[2,1,1,3,1]=>10111001=>4 [7,5,3,2,6,4,1,8]=>[2,4,6,7,3,5,8,1]=>[4,3,1]=>10001001=>4 [4,5,8,1,6,7,2,3]=>[5,4,1,8,3,2,7,6]=>[1,1,2,1,2,1]=>11101101=>4 [3,5,8,2,6,4,7,1]=>[6,4,1,7,3,5,2,8]=>[1,1,2,2,2]=>11101010=>5 [3,2,8,6,1,5,7,4]=>[6,7,1,3,8,4,2,5]=>[2,3,1,2]=>10100110=>5 [3,4,7,2,1,5,6,8]=>[6,5,2,7,8,4,3,1]=>[1,1,3,1,1,1]=>11100111=>2 [3,7,2,5,8,4,6,1]=>[6,2,7,4,1,5,3,8]=>[1,2,1,2,2]=>11011010=>5 [6,7,8,4,1,5,2,3]=>[3,2,1,5,8,4,7,6]=>[1,1,3,2,1]=>11100101=>4 [6,2,8,3,5,1,4,7]=>[3,7,1,6,4,8,5,2]=>[2,2,2,1,1]=>10101011=>6 [6,2,7,4,5,3,1,8]=>[3,7,2,5,4,6,8,1]=>[2,2,3,1]=>10101001=>6 [7,4,5,6,1,8,2,3]=>[2,5,4,3,8,1,7,6]=>[2,1,2,2,1]=>10110101=>6 [7,3,4,6,5,1,2,8]=>[2,6,5,3,4,8,7,1]=>[2,1,3,1,1]=>10110011=>4 [7,2,4,5,6,1,8,3]=>[2,7,5,4,3,8,1,6]=>[2,1,1,2,2]=>10111010=>5 [6,3,5,2,8,1,7,4]=>[3,6,4,7,1,8,2,5]=>[2,2,2,2]=>10101010=>7 [2,7,3,5,8,1,4,6]=>[7,2,6,4,1,8,5,3]=>[1,2,1,2,1,1]=>11011011=>4 [7,8,6,1,2,5,4,3]=>[2,1,3,8,7,4,5,6]=>[1,3,1,3]=>11001100=>3 [6,1,8,7,4,5,2,3]=>[3,8,1,2,5,4,7,6]=>[2,3,2,1]=>10100101=>6 [4,1,7,6,3,5,2,8]=>[5,8,2,3,6,4,7,1]=>[2,3,2,1]=>10100101=>6 [4,1,6,7,2,5,8,3]=>[5,8,3,2,7,4,1,6]=>[2,1,2,1,2]=>10110110=>5 [4,7,8,1,6,2,5,3]=>[5,2,1,8,3,7,4,6]=>[1,1,2,2,2]=>11101010=>5 [4,8,7,1,6,3,2,5]=>[5,1,2,8,3,6,7,4]=>[1,3,3,1]=>11001001=>4 [4,8,2,7,5,3,6,1]=>[5,1,7,2,4,6,3,8]=>[1,2,3,2]=>11010010=>5 [3,1,2,7,5,6,4,8]=>[6,8,7,2,4,3,5,1]=>[2,1,2,2,1]=>10110101=>6 [1,3,8,2,5,4,6,7]=>[8,6,1,7,4,5,3,2]=>[1,1,2,2,1,1]=>11101011=>4 [1,6,2,5,8,7,3,4]=>[8,3,7,4,1,2,6,5]=>[1,2,1,3,1]=>11011001=>4 [1,6,8,7,2,3,5,4]=>[8,3,1,2,7,6,4,5]=>[1,1,3,1,2]=>11100110=>3 [1,5,2,4,8,3,6,7]=>[8,4,7,5,1,6,3,2]=>[1,2,1,2,1,1]=>11011011=>4 [1,2,8,3,5,4,7,6]=>[8,7,1,6,4,5,2,3]=>[1,1,2,2,2]=>11101010=>5 [1,3,8,2,5,4,7,6]=>[8,6,1,7,4,5,2,3]=>[1,1,2,2,2]=>11101010=>5 [1,5,6,4,7,2,3,8]=>[8,4,3,5,2,7,6,1]=>[1,1,2,2,1,1]=>11101011=>4 [1,7,4,2,5,8,3,6]=>[8,2,5,7,4,1,6,3]=>[1,3,1,2,1]=>11001101=>4 [1,6,5,4,7,2,3,8]=>[8,3,4,5,2,7,6,1]=>[1,3,2,1,1]=>11001011=>4 [1,5,8,2,3,6,7,4]=>[8,4,1,7,6,3,2,5]=>[1,1,2,1,1,2]=>11101110=>3 [1,7,8,5,4,2,3,6]=>[8,2,1,4,5,7,6,3]=>[1,1,4,1,1]=>11100011=>2 [1,4,2,7,5,3,8,6]=>[8,5,7,2,4,6,1,3]=>[1,2,3,2]=>11010010=>5 [1,5,7,6,2,4,3,8]=>[8,4,2,3,7,5,6,1]=>[1,1,3,2,1]=>11100101=>4 [1,8,4,7,3,2,6,5]=>[8,1,5,2,6,7,3,4]=>[1,2,3,2]=>11010010=>5 [1,7,4,2,6,5,8,3]=>[8,2,5,7,3,4,1,6]=>[1,3,2,2]=>11001010=>5 [1,6,5,8,3,7,4,2]=>[8,3,4,1,6,2,5,7]=>[1,2,2,3]=>11010100=>5 [1,7,4,8,3,2,5,6]=>[8,2,5,1,6,7,4,3]=>[1,2,3,1,1]=>11010011=>4 [1,4,8,3,2,7,5,6]=>[8,5,1,6,7,2,4,3]=>[1,1,3,2,1]=>11100101=>4 [1,8,3,6,4,5,2,7]=>[8,1,6,3,5,4,7,2]=>[1,2,2,2,1]=>11010101=>6 [1,6,4,7,3,2,8,5]=>[8,3,5,2,6,7,1,4]=>[1,2,3,2]=>11010010=>5 [8,5,7,2,3,6,4,1]=>[1,4,2,7,6,3,5,8]=>[2,2,1,3]=>10101100=>5 [3,1,5,6,8,4,2,7]=>[6,8,4,3,1,5,7,2]=>[2,1,1,3,1]=>10111001=>4 [7,5,2,1,6,8,3,4]=>[2,4,7,8,3,1,6,5]=>[4,1,2,1]=>10001101=>4 [1,3,6,8,4,2,5,7]=>[8,6,3,1,5,7,4,2]=>[1,1,1,3,1,1]=>11110011=>2 [7,6,1,5,4,8,2,3]=>[2,3,8,4,5,1,7,6]=>[3,2,2,1]=>10010101=>6 [7,6,3,2,1,8,4,5]=>[2,3,6,7,8,1,5,4]=>[5,2,1]=>10000101=>4 [2,8,7,3,4,6,1,5]=>[7,1,2,6,5,3,8,4]=>[1,3,1,2,1]=>11001101=>4 [6,5,1,3,7,2,8,4]=>[3,4,8,6,2,7,1,5]=>[3,1,2,2]=>10011010=>5 [7,1,8,3,4,5,2,6]=>[2,8,1,6,5,4,7,3]=>[2,2,1,2,1]=>10101101=>6 [7,2,1,4,8,5,3,6]=>[2,7,8,5,1,4,6,3]=>[3,1,3,1]=>10011001=>4 [6,8,7,3,4,2,1,5]=>[3,1,2,6,5,7,8,4]=>[1,3,3,1]=>11001001=>4 [3,8,7,1,2,4,5,6]=>[6,1,2,8,7,5,4,3]=>[1,3,1,1,1,1]=>11001111=>2 [1,8,5,3,4,6,2,7]=>[8,1,4,6,5,3,7,2]=>[1,3,1,2,1]=>11001101=>4 [5,8,4,3,1,6,2,7]=>[4,1,5,6,8,3,7,2]=>[1,4,2,1]=>11000101=>4 [7,1,6,5,4,3,8,2]=>[2,8,3,4,5,6,1,7]=>[2,4,2]=>10100010=>5 [7,1,3,6,4,5,8,2]=>[2,8,6,3,5,4,1,7]=>[2,1,2,1,2]=>10110110=>5 [7,1,5,3,6,4,8,2]=>[2,8,4,6,3,5,1,7]=>[2,2,2,2]=>10101010=>7 [5,8,7,1,2,6,3,4]=>[4,1,2,8,7,3,6,5]=>[1,3,1,2,1]=>11001101=>4 [6,8,2,3,4,7,1,5]=>[3,1,7,6,5,2,8,4]=>[1,2,1,1,2,1]=>11011101=>4 [5,1,7,3,8,6,2,4]=>[4,8,2,6,1,3,7,5]=>[2,2,3,1]=>10101001=>6 [6,1,3,2,4,7,8,5]=>[3,8,6,7,5,2,1,4]=>[2,2,1,1,2]=>10101110=>5 [6,2,1,3,4,7,8,5]=>[3,7,8,6,5,2,1,4]=>[3,1,1,1,2]=>10011110=>3 [3,2,5,8,7,4,1,6]=>[6,7,4,1,2,5,8,3]=>[2,1,4,1]=>10110001=>4 [4,2,5,8,7,3,1,6]=>[5,7,4,1,2,6,8,3]=>[2,1,4,1]=>10110001=>4 [8,3,4,1,6,5,2,7]=>[1,6,5,8,3,4,7,2]=>[2,2,3,1]=>10101001=>6 [3,4,8,5,7,2,1,6]=>[6,5,1,4,2,7,8,3]=>[1,1,2,3,1]=>11101001=>4 [3,6,4,8,5,7,2,1]=>[6,3,5,1,4,2,7,8]=>[1,2,2,3]=>11010100=>5 [5,8,4,7,3,6,2,1]=>[4,1,5,2,6,3,7,8]=>[1,2,2,3]=>11010100=>5 [4,2,8,7,3,1,6,5]=>[5,7,1,2,6,8,3,4]=>[2,4,2]=>10100010=>5 [6,5,8,2,1,7,4,3]=>[3,4,1,7,8,2,5,6]=>[2,3,3]=>10100100=>5 [6,1,4,3,8,7,2,5]=>[3,8,5,6,1,2,7,4]=>[2,2,3,1]=>10101001=>6 [5,1,3,2,6,8,7,4]=>[4,8,6,7,3,1,2,5]=>[2,2,1,3]=>10101100=>5 [6,1,3,8,7,2,4,5]=>[3,8,6,1,2,7,5,4]=>[2,1,3,1,1]=>10110011=>4 [4,2,1,8,7,6,3,5]=>[5,7,8,1,2,3,6,4]=>[3,4,1]=>10010001=>4 [3,2,5,8,7,1,4,6]=>[6,7,4,1,2,8,5,3]=>[2,1,3,1,1]=>10110011=>4 [5,6,3,8,7,2,1,4]=>[4,3,6,1,2,7,8,5]=>[1,2,4,1]=>11010001=>4 [1,6,2,4,8,5,7,3]=>[8,3,7,5,1,4,2,6]=>[1,2,1,2,2]=>11011010=>5 [3,1,6,5,8,7,2,4]=>[6,8,3,4,1,2,7,5]=>[2,2,3,1]=>10101001=>6 [4,8,5,3,6,7,1,2]=>[5,1,4,6,3,2,8,7]=>[1,3,1,2,1]=>11001101=>4 [1,8,5,3,4,7,6,2]=>[8,1,4,6,5,2,3,7]=>[1,3,1,3]=>11001100=>3 [7,5,2,1,4,3,6,8]=>[2,4,7,8,5,6,3,1]=>[4,2,1,1]=>10001011=>4 [3,1,7,6,4,2,5,8]=>[6,8,2,3,5,7,4,1]=>[2,4,1,1]=>10100011=>4 [5,1,4,7,6,3,2,8]=>[4,8,5,2,3,6,7,1]=>[2,1,4,1]=>10110001=>4 [8,1,7,3,5,4,6,2]=>[1,8,2,6,4,5,3,7]=>[2,2,2,2]=>10101010=>7 [2,8,7,3,5,6,4,1]=>[7,1,2,6,4,3,5,8]=>[1,3,1,3]=>11001100=>3 [1,8,6,3,2,5,4,7]=>[8,1,3,6,7,4,5,2]=>[1,4,2,1]=>11000101=>4 [3,2,4,8,5,7,1,6]=>[6,7,5,1,4,2,8,3]=>[2,1,2,2,1]=>10110101=>6 [7,2,5,4,8,1,3,6]=>[2,7,4,5,1,8,6,3]=>[2,2,2,1,1]=>10101011=>6 [5,1,8,3,2,7,6,4]=>[4,8,1,6,7,2,3,5]=>[2,3,3]=>10100100=>5 [6,8,5,2,3,7,1,4]=>[3,1,4,7,6,2,8,5]=>[1,3,1,2,1]=>11001101=>4 [1,3,4,8,6,7,2,5]=>[8,6,5,1,3,2,7,4]=>[1,1,1,2,2,1]=>11110101=>4 [8,3,1,4,6,7,5,2]=>[1,6,8,5,3,2,4,7]=>[3,1,1,3]=>10011100=>3 [2,7,8,5,6,4,1,3]=>[7,2,1,4,3,5,8,6]=>[1,1,2,3,1]=>11101001=>4 [8,6,2,1,5,7,3,4]=>[1,3,7,8,4,2,6,5]=>[4,1,2,1]=>10001101=>4 [4,6,2,8,5,3,7,1]=>[5,3,7,1,4,6,2,8]=>[1,2,3,2]=>11010010=>5 [5,6,2,4,8,3,1,7]=>[4,3,7,5,1,6,8,2]=>[1,2,1,3,1]=>11011001=>4 [8,7,2,4,1,5,3,6]=>[1,2,7,5,8,4,6,3]=>[3,2,2,1]=>10010101=>6 [1,6,8,7,3,5,2,4]=>[8,3,1,2,6,4,7,5]=>[1,1,3,2,1]=>11100101=>4 [7,1,3,5,4,8,6,2]=>[2,8,6,4,5,1,3,7]=>[2,1,2,3]=>10110100=>5 [4,1,5,2,8,6,3,7]=>[5,8,4,7,1,3,6,2]=>[2,2,3,1]=>10101001=>6 [8,4,3,1,7,2,5,6]=>[1,5,6,8,2,7,4,3]=>[4,2,1,1]=>10001011=>4 [2,8,3,1,4,6,7,5]=>[7,1,6,8,5,3,2,4]=>[1,3,1,1,2]=>11001110=>3 [6,8,3,4,2,5,7,1]=>[3,1,6,5,7,4,2,8]=>[1,2,2,1,2]=>11010110=>5 [4,2,8,3,5,1,6,7]=>[5,7,1,6,4,8,3,2]=>[2,2,2,1,1]=>10101011=>6 [5,6,1,2,4,3,7,8]=>[4,3,8,7,5,6,2,1]=>[1,2,1,2,1,1]=>11011011=>4 [3,1,2,6,5,4,7,8]=>[6,8,7,3,4,5,2,1]=>[2,1,3,1,1]=>10110011=>4 [4,3,6,5,1,2,7,8]=>[5,6,3,4,8,7,2,1]=>[2,3,1,1,1]=>10100111=>4 [8,2,3,7,5,4,6,1]=>[1,7,6,2,4,5,3,8]=>[2,1,3,2]=>10110010=>5 [2,8,3,7,6,4,1,5]=>[7,1,6,2,3,5,8,4]=>[1,2,4,1]=>11010001=>4 [2,8,3,7,6,4,5,1]=>[7,1,6,2,3,5,4,8]=>[1,2,3,2]=>11010010=>5 [8,1,3,7,5,4,6,2]=>[1,8,6,2,4,5,3,7]=>[2,1,3,2]=>10110010=>5 [8,1,3,7,5,4,2,6]=>[1,8,6,2,4,5,7,3]=>[2,1,4,1]=>10110001=>4 [1,8,3,7,6,4,2,5]=>[8,1,6,2,3,5,7,4]=>[1,2,4,1]=>11010001=>4 [5,8,3,7,6,4,2,1]=>[4,1,6,2,3,5,7,8]=>[1,2,5]=>11010000=>3 [1,3,8,7,6,5,2,4]=>[8,6,1,2,3,4,7,5]=>[1,1,5,1]=>11100001=>2 [2,8,1,7,6,4,5,3]=>[7,1,8,2,3,5,4,6]=>[1,2,3,2]=>11010010=>5 [8,2,1,7,5,4,6,3]=>[1,7,8,2,4,5,3,6]=>[3,3,2]=>10010010=>5 [8,1,2,7,5,4,6,3]=>[1,8,7,2,4,5,3,6]=>[2,1,3,2]=>10110010=>5 [3,8,2,7,6,4,5,1]=>[6,1,7,2,3,5,4,8]=>[1,2,3,2]=>11010010=>5 [4,8,7,2,6,3,1,5]=>[5,1,2,7,3,6,8,4]=>[1,3,3,1]=>11001001=>4 [1,8,7,2,6,3,5,4]=>[8,1,2,7,3,6,4,5]=>[1,3,2,2]=>11001010=>5 [8,7,2,1,4,3,5,6]=>[1,2,7,8,5,6,4,3]=>[4,2,1,1]=>10001011=>4 [5,8,7,2,6,3,1,4]=>[4,1,2,7,3,6,8,5]=>[1,3,3,1]=>11001001=>4 [2,8,7,1,6,3,4,5]=>[7,1,2,8,3,6,5,4]=>[1,3,2,1,1]=>11001011=>4 [4,2,8,7,6,5,1,3]=>[5,7,1,2,3,4,8,6]=>[2,5,1]=>10100001=>4 [5,8,7,1,6,3,4,2]=>[4,1,2,8,3,6,5,7]=>[1,3,2,2]=>11001010=>5 [5,8,7,1,6,3,2,4]=>[4,1,2,8,3,6,7,5]=>[1,3,3,1]=>11001001=>4 [1,4,8,7,6,5,2,3]=>[8,5,1,2,3,4,7,6]=>[1,1,5,1]=>11100001=>2 [8,4,2,7,6,5,3,1]=>[1,5,7,2,3,4,6,8]=>[3,5]=>10010000=>3 [6,8,7,5,2,4,3,1]=>[3,1,2,4,7,5,6,8]=>[1,4,3]=>11000100=>3 [7,2,3,6,4,5,1,8]=>[2,7,6,3,5,4,8,1]=>[2,1,2,2,1]=>10110101=>6 [7,2,1,4,6,5,3,8]=>[2,7,8,5,3,4,6,1]=>[3,1,3,1]=>10011001=>4 [7,3,6,2,4,5,1,8]=>[2,6,3,7,5,4,8,1]=>[2,2,1,2,1]=>10101101=>6 [7,2,6,1,4,5,3,8]=>[2,7,3,8,5,4,6,1]=>[2,2,1,2,1]=>10101101=>6 [6,8,7,2,4,5,1,3]=>[3,1,2,7,5,4,8,6]=>[1,3,1,2,1]=>11001101=>4 [1,2,5,7,4,8,6,3]=>[8,7,4,2,5,1,3,6]=>[1,1,1,2,3]=>11110100=>3 [6,2,1,8,7,5,3,4]=>[3,7,8,1,2,4,6,5]=>[3,4,1]=>10010001=>4 [6,3,8,7,4,5,2,1]=>[3,6,1,2,5,4,7,8]=>[2,3,3]=>10100100=>5 [4,6,5,3,2,8,1,7]=>[5,3,4,6,7,1,8,2]=>[1,4,2,1]=>11000101=>4 [2,8,3,4,1,5,6,7]=>[7,1,6,5,8,4,3,2]=>[1,2,2,1,1,1]=>11010111=>4 [2,6,4,3,5,8,1,7]=>[7,3,5,6,4,1,8,2]=>[1,3,1,2,1]=>11001101=>4 [4,2,1,7,6,5,8,3]=>[5,7,8,2,3,4,1,6]=>[3,3,2]=>10010010=>5 [1,3,7,5,4,8,6,2]=>[8,6,2,4,5,1,3,7]=>[1,1,3,3]=>11100100=>3 [3,8,7,5,4,1,6,2]=>[6,1,2,4,5,8,3,7]=>[1,5,2]=>11000010=>3 [4,5,6,3,1,8,2,7]=>[5,4,3,6,8,1,7,2]=>[1,1,3,2,1]=>11100101=>4 [5,2,1,4,3,6,8,7]=>[4,7,8,5,6,3,1,2]=>[3,2,1,2]=>10010110=>5 [5,4,6,3,8,1,2,7]=>[4,5,3,6,1,8,7,2]=>[2,2,2,1,1]=>10101011=>6 [5,8,6,3,1,4,2,7]=>[4,1,3,6,8,5,7,2]=>[1,4,2,1]=>11000101=>4 [5,8,7,1,4,3,6,2]=>[4,1,2,8,5,6,3,7]=>[1,3,2,2]=>11001010=>5 [2,6,5,3,8,4,1,7]=>[7,3,4,6,1,5,8,2]=>[1,3,3,1]=>11001001=>4 [2,6,5,4,8,3,1,7]=>[7,3,4,5,1,6,8,2]=>[1,3,3,1]=>11001001=>4 [3,7,5,4,8,2,6,1]=>[6,2,4,5,1,7,3,8]=>[1,3,2,2]=>11001010=>5 [5,3,7,1,2,8,4,6]=>[4,6,2,8,7,1,5,3]=>[2,2,1,2,1]=>10101101=>6 [2,8,7,6,1,3,5,4]=>[7,1,2,3,8,6,4,5]=>[1,4,1,2]=>11000110=>3 [2,7,5,4,8,1,6,3]=>[7,2,4,5,1,8,3,6]=>[1,3,2,2]=>11001010=>5 [6,3,8,7,2,5,4,1]=>[3,6,1,2,7,4,5,8]=>[2,3,3]=>10100100=>5 [2,8,7,6,1,5,3,4]=>[7,1,2,3,8,4,6,5]=>[1,4,2,1]=>11000101=>4 [7,6,4,8,1,3,2,5]=>[2,3,5,1,8,6,7,4]=>[3,2,2,1]=>10010101=>6 [6,3,8,7,1,4,2,5]=>[3,6,1,2,8,5,7,4]=>[2,3,2,1]=>10100101=>6 [6,3,8,7,1,2,4,5]=>[3,6,1,2,8,7,5,4]=>[2,3,1,1,1]=>10100111=>4 [9,7,8,5,4,3,2,1,6]=>[1,3,2,5,6,7,8,9,4]=>[2,6,1]=>101000001=>4 [1,2,3,4,6,5,7,8,9]=>[9,8,7,6,4,5,3,2,1]=>[1,1,1,1,2,1,1,1]=>111110111=>2 [1,2,3,5,4,6,7,8,9]=>[9,8,7,5,6,4,3,2,1]=>[1,1,1,2,1,1,1,1]=>111101111=>2 [4,8,1,6,7,5,2,3]=>[5,1,8,3,2,4,7,6]=>[1,2,1,3,1]=>11011001=>4 [6,8,4,1,7,5,2,3]=>[3,1,5,8,2,4,7,6]=>[1,3,3,1]=>11001001=>4 [8,1,4,6,7,5,2,3]=>[1,8,5,3,2,4,7,6]=>[2,1,1,3,1]=>10111001=>4 [6,4,8,1,2,7,5,3]=>[3,5,1,8,7,2,4,6]=>[2,2,1,3]=>10101100=>5 [8,4,1,6,7,2,5,3]=>[1,5,8,3,2,7,4,6]=>[3,1,2,2]=>10011010=>5 [8,1,4,6,7,2,5,3]=>[1,8,5,3,2,7,4,6]=>[2,1,1,2,2]=>10111010=>5 [8,2,1,6,7,4,5,3]=>[1,7,8,3,2,5,4,6]=>[3,1,2,2]=>10011010=>5 [8,2,6,1,7,4,5,3]=>[1,7,3,8,2,5,4,6]=>[2,2,2,2]=>10101010=>7 [6,2,8,1,4,7,5,3]=>[3,7,1,8,5,2,4,6]=>[2,2,1,3]=>10101100=>5 [4,2,8,1,6,7,5,3]=>[5,7,1,8,3,2,4,6]=>[2,2,1,3]=>10101100=>5 [2,4,8,1,6,7,5,3]=>[7,5,1,8,3,2,4,6]=>[1,1,2,1,3]=>11101100=>3 [4,2,8,6,1,7,5,3]=>[5,7,1,3,8,2,4,6]=>[2,3,3]=>10100100=>5 [8,4,1,6,2,7,5,3]=>[1,5,8,3,7,2,4,6]=>[3,2,3]=>10010100=>5 [4,8,2,1,6,7,5,3]=>[5,1,7,8,3,2,4,6]=>[1,3,1,3]=>11001100=>3 [6,8,2,1,4,7,5,3]=>[3,1,7,8,5,2,4,6]=>[1,3,1,3]=>11001100=>3 [8,6,2,1,7,4,5,3]=>[1,3,7,8,2,5,4,6]=>[4,2,2]=>10001010=>5 [8,1,6,2,4,7,5,3]=>[1,8,3,7,5,2,4,6]=>[2,2,1,3]=>10101100=>5 [8,6,1,2,4,7,5,3]=>[1,3,8,7,5,2,4,6]=>[3,1,1,3]=>10011100=>3 [6,8,2,4,1,7,5,3]=>[3,1,7,5,8,2,4,6]=>[1,2,2,3]=>11010100=>5 [4,8,2,6,1,7,5,3]=>[5,1,7,3,8,2,4,6]=>[1,2,2,3]=>11010100=>5 [6,4,2,8,1,7,5,3]=>[3,5,7,1,8,2,4,6]=>[3,2,3]=>10010100=>5 [8,4,2,6,1,7,5,3]=>[1,5,7,3,8,2,4,6]=>[3,2,3]=>10010100=>5 [8,2,4,6,1,7,5,3]=>[1,7,5,3,8,2,4,6]=>[2,1,2,3]=>10110100=>5 [3,6,4,8,1,5,2,7]=>[6,3,5,1,8,4,7,2]=>[1,2,2,2,1]=>11010101=>6 [8,7,1,4,2,3,5,6]=>[1,2,8,5,7,6,4,3]=>[3,2,1,1,1]=>10010111=>4 [8,2,6,5,7,1,3,4]=>[1,7,3,4,2,8,6,5]=>[2,2,2,1,1]=>10101011=>6 [5,4,6,7,1,3,8,2]=>[4,5,3,2,8,6,1,7]=>[2,1,2,1,2]=>10110110=>5 [7,1,4,8,2,3,6,5]=>[2,8,5,1,7,6,3,4]=>[2,1,2,1,2]=>10110110=>5 [3,6,5,4,7,1,8,2]=>[6,3,4,5,2,8,1,7]=>[1,3,2,2]=>11001010=>5 [1,4,7,8,3,5,2,6]=>[8,5,2,1,6,4,7,3]=>[1,1,1,2,2,1]=>11110101=>4 [1,7,6,3,5,8,4,2]=>[8,2,3,6,4,1,5,7]=>[1,3,1,3]=>11001100=>3 [2,5,1,4,8,3,7,6]=>[7,4,8,5,1,6,2,3]=>[1,2,1,2,2]=>11011010=>5 [7,6,2,1,4,5,3,8]=>[2,3,7,8,5,4,6,1]=>[4,1,2,1]=>10001101=>4 [3,5,1,6,4,8,7,2]=>[6,4,8,3,5,1,2,7]=>[1,2,2,3]=>11010100=>5 [2,6,3,5,1,7,4,8]=>[7,3,6,4,8,2,5,1]=>[1,2,2,2,1]=>11010101=>6 [6,1,2,5,4,8,7,3]=>[3,8,7,4,5,1,2,6]=>[2,1,2,3]=>10110100=>5 [8,4,1,7,3,5,6,2]=>[1,5,8,2,6,4,3,7]=>[3,2,1,2]=>10010110=>5 [8,4,1,2,5,7,3,6]=>[1,5,8,7,4,2,6,3]=>[3,1,1,2,1]=>10011101=>4 [1,6,2,8,5,4,7,3]=>[8,3,7,1,4,5,2,6]=>[1,2,3,2]=>11010010=>5 [6,1,5,3,2,7,4,8]=>[3,8,4,6,7,2,5,1]=>[2,3,2,1]=>10100101=>6 [6,4,7,2,1,8,5,3]=>[3,5,2,7,8,1,4,6]=>[2,3,3]=>10100100=>5 [5,8,4,6,3,1,7,2]=>[4,1,5,3,6,8,2,7]=>[1,2,3,2]=>11010010=>5 [2,4,5,6,8,3,1,7]=>[7,5,4,3,1,6,8,2]=>[1,1,1,1,3,1]=>11111001=>2 [3,8,4,2,1,6,5,7]=>[6,1,5,7,8,3,4,2]=>[1,4,2,1]=>11000101=>4 [3,4,7,1,2,6,8,5]=>[6,5,2,8,7,3,1,4]=>[1,1,2,1,1,2]=>11101110=>3 [4,1,8,6,5,2,3,7]=>[5,8,1,3,4,7,6,2]=>[2,4,1,1]=>10100011=>4 [3,4,5,8,6,2,1,7]=>[6,5,4,1,3,7,8,2]=>[1,1,1,4,1]=>11110001=>2 [8,6,3,5,4,7,1,2]=>[1,3,6,4,5,2,8,7]=>[3,2,2,1]=>10010101=>6 [2,5,3,7,1,8,6,4]=>[7,4,6,2,8,1,3,5]=>[1,2,2,3]=>11010100=>5 [4,8,6,2,5,1,7,3]=>[5,1,3,7,4,8,2,6]=>[1,3,2,2]=>11001010=>5 [4,5,1,8,6,3,7,2]=>[5,4,8,1,3,6,2,7]=>[1,2,3,2]=>11010010=>5 [1,7,2,4,5,3,8,6]=>[8,2,7,5,4,6,1,3]=>[1,2,1,2,2]=>11011010=>5 [8,5,3,4,6,1,7,2]=>[1,4,6,5,3,8,2,7]=>[3,1,2,2]=>10011010=>5 [1,4,6,2,5,3,8,7]=>[8,5,3,7,4,6,1,2]=>[1,1,2,2,2]=>11101010=>5 [6,2,8,7,1,3,5,4]=>[3,7,1,2,8,6,4,5]=>[2,3,1,2]=>10100110=>5 [4,5,3,6,1,8,7,2]=>[5,4,6,3,8,1,2,7]=>[1,2,2,3]=>11010100=>5 [8,3,7,2,1,6,5,4]=>[1,6,2,7,8,3,4,5]=>[2,3,3]=>10100100=>5 [8,4,7,6,2,5,1,3]=>[1,5,2,3,7,4,8,6]=>[2,3,2,1]=>10100101=>6 [8,4,7,3,6,2,1,5]=>[1,5,2,6,3,7,8,4]=>[2,2,3,1]=>10101001=>6 [3,8,7,5,6,4,1,2]=>[6,1,2,4,3,5,8,7]=>[1,3,3,1]=>11001001=>4 [3,8,7,5,6,2,1,4]=>[6,1,2,4,3,7,8,5]=>[1,3,3,1]=>11001001=>4 [3,8,7,5,6,2,4,1]=>[6,1,2,4,3,7,5,8]=>[1,3,2,2]=>11001010=>5 [2,8,7,5,6,4,1,3]=>[7,1,2,4,3,5,8,6]=>[1,3,3,1]=>11001001=>4 [4,5,2,3,6,7,8,9,1]=>[6,5,8,7,4,3,2,1,9]=>[1,2,1,1,1,1,2]=>110111110=>3 [7,5,8,3,6,2,4,9,1]=>[3,5,2,7,4,8,6,1,9]=>[2,2,2,1,2]=>101010110=>7 [7,6,5,4,3,2,8,9,1]=>[3,4,5,6,7,8,2,1,9]=>[6,1,2]=>100000110=>3 [1,5,6,3,8,2,7,4]=>[8,4,3,6,1,7,2,5]=>[1,1,2,2,2]=>11101010=>5 [2,6,3,8,4,7,1,5]=>[7,3,6,1,5,2,8,4]=>[1,2,2,2,1]=>11010101=>6 [2,6,3,5,7,8,1,4]=>[7,3,6,4,2,1,8,5]=>[1,2,1,1,2,1]=>11011101=>4 [1,7,5,3,6,2,8,4]=>[8,2,4,6,3,7,1,5]=>[1,3,2,2]=>11001010=>5 [1,5,7,3,4,2,8,6]=>[8,4,2,6,5,7,1,3]=>[1,1,2,2,2]=>11101010=>5 [1,5,8,3,4,2,7,6]=>[8,4,1,6,5,7,2,3]=>[1,1,2,2,2]=>11101010=>5 [1,4,5,3,7,2,8,6]=>[8,5,4,6,2,7,1,3]=>[1,1,2,2,2]=>11101010=>5 [1,4,5,3,8,2,7,6]=>[8,5,4,6,1,7,2,3]=>[1,1,2,2,2]=>11101010=>5 [6,5,1,4,2,7,8,3]=>[3,4,8,5,7,2,1,6]=>[3,2,1,2]=>10010110=>5 [6,5,1,4,2,8,7,3]=>[3,4,8,5,7,1,2,6]=>[3,2,3]=>10010100=>5 [1,7,5,4,2,8,6,3]=>[8,2,4,5,7,1,3,6]=>[1,4,3]=>11000100=>3 [4,1,2,7,5,3,6,8]=>[5,8,7,2,4,6,3,1]=>[2,1,3,1,1]=>10110011=>4 [5,1,6,8,3,7,2,4]=>[4,8,3,1,6,2,7,5]=>[2,1,2,2,1]=>10110101=>6 [6,1,3,7,2,4,5,8]=>[3,8,6,2,7,5,4,1]=>[2,1,2,1,1,1]=>10110111=>4 [4,1,5,6,8,3,2,7]=>[5,8,4,3,1,6,7,2]=>[2,1,1,3,1]=>10111001=>4 [3,8,5,2,1,4,7,6]=>[6,1,4,7,8,5,2,3]=>[1,4,1,2]=>11000110=>3 [3,1,5,6,8,4,7,2]=>[6,8,4,3,1,5,2,7]=>[2,1,1,2,2]=>10111010=>5 [3,6,1,8,2,5,4,7]=>[6,3,8,1,7,4,5,2]=>[1,2,2,2,1]=>11010101=>6 [5,8,3,2,1,7,4,6]=>[4,1,6,7,8,2,5,3]=>[1,4,2,1]=>11000101=>4 [1,4,8,2,6,5,3,7]=>[8,5,1,7,3,4,6,2]=>[1,1,2,3,1]=>11101001=>4 [8,5,1,3,6,2,4,7]=>[1,4,8,6,3,7,5,2]=>[3,1,2,1,1]=>10011011=>4 [3,8,1,2,6,5,4,7]=>[6,1,8,7,3,4,5,2]=>[1,2,1,3,1]=>11011001=>4 [1,2,8,5,6,4,3,7]=>[8,7,1,4,3,5,6,2]=>[1,1,2,3,1]=>11101001=>4 [7,5,1,8,3,4,2,6]=>[2,4,8,1,6,5,7,3]=>[3,2,2,1]=>10010101=>6 [5,2,8,1,7,4,3,6]=>[4,7,1,8,2,5,6,3]=>[2,2,3,1]=>10101001=>6 [1,2,5,6,8,7,3,4]=>[8,7,4,3,1,2,6,5]=>[1,1,1,1,3,1]=>11111001=>2 [1,5,6,8,2,7,4,3]=>[8,4,3,1,7,2,5,6]=>[1,1,1,2,3]=>11110100=>3 [3,6,1,8,2,7,4,5]=>[6,3,8,1,7,2,5,4]=>[1,2,2,2,1]=>11010101=>6 [2,6,7,3,4,1,8,5]=>[7,3,2,6,5,8,1,4]=>[1,1,2,2,2]=>11101010=>5 [1,6,5,7,8,2,4,3]=>[8,3,4,2,1,7,5,6]=>[1,2,1,2,2]=>11011010=>5 [3,6,1,2,8,7,5,4]=>[6,3,8,7,1,2,4,5]=>[1,2,1,4]=>11011000=>3 [1,3,7,2,6,4,8,5]=>[8,6,2,7,3,5,1,4]=>[1,1,2,2,2]=>11101010=>5 [1,4,7,2,6,3,8,5]=>[8,5,2,7,3,6,1,4]=>[1,1,2,2,2]=>11101010=>5 [2,6,8,1,4,7,3,5]=>[7,3,1,8,5,2,6,4]=>[1,1,2,1,2,1]=>11101101=>4 [1,5,8,6,7,3,4,2]=>[8,4,1,3,2,6,5,7]=>[1,1,2,2,2]=>11101010=>5 [1,6,5,8,7,2,4,3]=>[8,3,4,1,2,7,5,6]=>[1,2,3,2]=>11010010=>5 [1,5,7,6,2,8,3,4]=>[8,4,2,3,7,1,6,5]=>[1,1,3,2,1]=>11100101=>4 [1,2,5,8,6,7,4,3]=>[8,7,4,1,3,2,5,6]=>[1,1,1,2,3]=>11110100=>3 [1,2,6,5,7,3,8,4]=>[8,7,3,4,2,6,1,5]=>[1,1,2,2,2]=>11101010=>5 [1,7,5,8,6,4,2,3]=>[8,2,4,1,3,5,7,6]=>[1,2,4,1]=>11010001=>4 [7,3,8,6,4,2,1,5]=>[2,6,1,3,5,7,8,4]=>[2,5,1]=>10100001=>4 [3,6,5,8,1,2,7,4]=>[6,3,4,1,8,7,2,5]=>[1,2,2,1,2]=>11010110=>5 [5,4,7,8,1,6,3,2]=>[4,5,2,1,8,3,6,7]=>[2,1,2,3]=>10110100=>5 [2,5,6,8,1,3,7,4]=>[7,4,3,1,8,6,2,5]=>[1,1,1,2,1,2]=>11110110=>3 [5,3,6,8,1,2,7,4]=>[4,6,3,1,8,7,2,5]=>[2,1,2,1,2]=>10110110=>5 [4,6,5,8,3,2,7,1]=>[5,3,4,1,6,7,2,8]=>[1,2,3,2]=>11010010=>5 [4,5,6,8,2,3,7,1]=>[5,4,3,1,7,6,2,8]=>[1,1,1,2,1,2]=>11110110=>3 [2,5,8,7,1,6,4,3]=>[7,4,1,2,8,3,5,6]=>[1,1,3,3]=>11100100=>3 [7,3,6,8,5,2,1,4]=>[2,6,3,1,4,7,8,5]=>[2,1,4,1]=>10110001=>4 [8,3,6,7,5,2,4,1]=>[1,6,3,2,4,7,5,8]=>[2,1,3,2]=>10110010=>5 [8,4,5,7,3,6,2,1]=>[1,5,4,2,6,3,7,8]=>[2,1,2,3]=>10110100=>5 [2,4,7,8,5,6,3,1]=>[7,5,2,1,4,3,6,8]=>[1,1,1,2,3]=>11110100=>3 [3,6,8,7,5,2,4,1]=>[6,3,1,2,4,7,5,8]=>[1,1,4,2]=>11100010=>3 [7,8,4,6,5,3,1,2]=>[2,1,5,3,4,6,8,7]=>[1,2,4,1]=>11010001=>4 [6,8,4,7,5,1,3,2]=>[3,1,5,2,4,8,6,7]=>[1,2,3,2]=>11010010=>5 [6,5,7,8,9,1,2,3,4]=>[4,5,3,2,1,9,8,7,6]=>[2,1,1,2,1,1,1]=>101110111=>4 [2,7,5,4,3,1,6,8]=>[7,2,4,5,6,8,3,1]=>[1,5,1,1]=>11000011=>2 [1,2,6,4,3,8,7,5]=>[8,7,3,5,6,1,2,4]=>[1,1,3,3]=>11100100=>3 [6,5,8,3,1,4,2,7]=>[3,4,1,6,8,5,7,2]=>[2,3,2,1]=>10100101=>6 [7,6,3,5,4,1,2,8]=>[2,3,6,4,5,8,7,1]=>[3,3,1,1]=>10010011=>4 [2,7,4,6,1,5,3,8]=>[7,2,5,3,8,4,6,1]=>[1,2,2,2,1]=>11010101=>6 [2,7,3,1,6,5,4,8]=>[7,2,6,8,3,4,5,1]=>[1,3,3,1]=>11001001=>4 [7,6,1,2,3,5,4,8]=>[2,3,8,7,6,4,5,1]=>[3,1,1,2,1]=>10011101=>4 [1,8,5,7,2,3,6,4]=>[8,1,4,2,7,6,3,5]=>[1,2,2,1,2]=>11010110=>5 [2,3,6,8,1,7,5,4]=>[7,6,3,1,8,2,4,5]=>[1,1,1,2,3]=>11110100=>3 [6,1,3,8,4,2,5,7]=>[3,8,6,1,5,7,4,2]=>[2,1,3,1,1]=>10110011=>4 [5,8,1,7,2,3,4,6]=>[4,1,8,2,7,6,5,3]=>[1,2,2,1,1,1]=>11010111=>4 [8,7,6,4,2,1,5,3]=>[1,2,3,5,7,8,4,6]=>[6,2]=>10000010=>3 [5,8,7,2,3,1,6,4]=>[4,1,2,7,6,8,3,5]=>[1,3,2,2]=>11001010=>5 [3,5,8,1,4,7,2,6]=>[6,4,1,8,5,2,7,3]=>[1,1,2,1,2,1]=>11101101=>4 [8,5,3,7,4,6,1,2]=>[1,4,6,2,5,3,8,7]=>[3,2,2,1]=>10010101=>6 [3,8,7,5,2,6,4,1]=>[6,1,2,4,7,3,5,8]=>[1,4,3]=>11000100=>3 [4,6,3,1,8,7,2,5]=>[5,3,6,8,1,2,7,4]=>[1,3,3,1]=>11001001=>4 [8,3,6,7,1,5,2,4]=>[1,6,3,2,8,4,7,5]=>[2,1,2,2,1]=>10110101=>6 [5,8,3,2,4,7,6,1]=>[4,1,6,7,5,2,3,8]=>[1,3,1,3]=>11001100=>3 [8,4,5,3,7,6,1,2]=>[1,5,4,6,2,3,8,7]=>[2,2,3,1]=>10101001=>6 [5,8,2,1,3,4,7,6]=>[4,1,7,8,6,5,2,3]=>[1,3,1,1,2]=>11001110=>3 [1,3,4,7,2,6,5,8]=>[8,6,5,2,7,3,4,1]=>[1,1,1,2,2,1]=>11110101=>4 [2,5,1,4,3,6,7,8]=>[7,4,8,5,6,3,2,1]=>[1,2,2,1,1,1]=>11010111=>4 [5,3,8,2,4,6,1,7]=>[4,6,1,7,5,3,8,2]=>[2,2,1,2,1]=>10101101=>6 [4,5,8,3,2,6,1,7]=>[5,4,1,6,7,3,8,2]=>[1,1,3,2,1]=>11100101=>4 [1,5,3,7,2,8,6,4]=>[8,4,6,2,7,1,3,5]=>[1,2,2,3]=>11010100=>5 [3,4,7,1,2,8,6,5]=>[6,5,2,8,7,1,3,4]=>[1,1,2,1,3]=>11101100=>3 [5,8,2,1,4,6,3,7]=>[4,1,7,8,5,3,6,2]=>[1,3,1,2,1]=>11001101=>4 [4,1,5,8,3,6,2,7]=>[5,8,4,1,6,3,7,2]=>[2,1,2,2,1]=>10110101=>6 [4,5,8,3,6,1,2,7]=>[5,4,1,6,3,8,7,2]=>[1,1,2,2,1,1]=>11101011=>4 [6,1,7,8,3,5,2,4]=>[3,8,2,1,6,4,7,5]=>[2,1,2,2,1]=>10110101=>6 [2,6,7,8,3,1,5,4]=>[7,3,2,1,6,8,4,5]=>[1,1,1,3,2]=>11110010=>3 [3,2,7,1,8,5,4,6]=>[6,7,2,8,1,4,5,3]=>[2,2,3,1]=>10101001=>6 [4,7,8,5,2,3,1,6]=>[5,2,1,4,7,6,8,3]=>[1,1,3,2,1]=>11100101=>4 [6,2,7,8,1,5,3,4]=>[3,7,2,1,8,4,6,5]=>[2,1,2,2,1]=>10110101=>6 [2,7,1,3,8,5,4,6]=>[7,2,8,6,1,4,5,3]=>[1,2,1,3,1]=>11011001=>4 [2,6,7,8,4,1,3,5]=>[7,3,2,1,5,8,6,4]=>[1,1,1,3,1,1]=>11110011=>2 [7,1,2,3,4,5,8,6,9]=>[3,9,8,7,6,5,2,4,1]=>[2,1,1,1,1,2,1]=>101111101=>4 [6,1,2,3,4,7,5,8,9]=>[4,9,8,7,6,3,5,2,1]=>[2,1,1,1,2,1,1]=>101111011=>4 [5,1,2,3,6,4,7,8,9]=>[5,9,8,7,4,6,3,2,1]=>[2,1,1,2,1,1,1]=>101110111=>4 [4,1,2,5,3,6,7,8,9]=>[6,9,8,5,7,4,3,2,1]=>[2,1,2,1,1,1,1]=>101101111=>4 [7,1,2,6,3,8,4,5]=>[2,8,7,3,6,1,5,4]=>[2,1,2,2,1]=>10110101=>6 [8,1,4,6,7,2,3,5]=>[1,8,5,3,2,7,6,4]=>[2,1,1,2,1,1]=>10111011=>4 [8,3,5,6,1,2,7,4]=>[1,6,4,3,8,7,2,5]=>[2,1,2,1,2]=>10110110=>5 [8,5,1,7,2,6,3,4]=>[1,4,8,2,7,3,6,5]=>[3,2,2,1]=>10010101=>6 [8,5,4,6,1,2,7,3]=>[1,4,5,3,8,7,2,6]=>[3,2,1,2]=>10010110=>5 [7,3,8,1,2,5,4,6]=>[2,6,1,8,7,4,5,3]=>[2,2,1,2,1]=>10101101=>6 [7,4,1,8,2,5,3,6]=>[2,5,8,1,7,4,6,3]=>[3,2,2,1]=>10010101=>6 [6,4,1,7,2,8,3,5]=>[3,5,8,2,7,1,6,4]=>[3,2,2,1]=>10010101=>6 [6,8,1,2,3,5,7,4]=>[3,1,8,7,6,4,2,5]=>[1,2,1,1,1,2]=>11011110=>3 [7,3,8,1,2,5,6,4]=>[2,6,1,8,7,4,3,5]=>[2,2,1,1,2]=>10101110=>5 [7,2,4,5,1,3,8,6]=>[2,7,5,4,8,6,1,3]=>[2,1,2,1,2]=>10110110=>5 [7,1,8,3,2,4,5,6]=>[2,8,1,6,7,5,4,3]=>[2,3,1,1,1]=>10100111=>4 [8,1,2,5,7,6,3,4]=>[1,8,7,4,2,3,6,5]=>[2,1,1,3,1]=>10111001=>4 [6,8,7,3,1,2,4,5]=>[3,1,2,6,8,7,5,4]=>[1,4,1,1,1]=>11000111=>2 [8,2,3,1,6,7,4,5]=>[1,7,6,8,3,2,5,4]=>[2,2,1,2,1]=>10101101=>6 [8,2,1,7,4,3,5,6]=>[1,7,8,2,5,6,4,3]=>[3,3,1,1]=>10010011=>4 [7,2,6,8,4,1,3,5]=>[2,7,3,1,5,8,6,4]=>[2,1,3,1,1]=>10110011=>4 [7,2,5,1,6,8,3,4]=>[2,7,4,8,3,1,6,5]=>[2,2,1,2,1]=>10101101=>6 [6,1,8,3,2,7,4,5]=>[3,8,1,6,7,2,5,4]=>[2,3,2,1]=>10100101=>6 [7,2,3,1,8,5,4,6]=>[2,7,6,8,1,4,5,3]=>[2,2,3,1]=>10101001=>6 [6,2,1,7,4,8,3,5]=>[3,7,8,2,5,1,6,4]=>[3,2,2,1]=>10010101=>6 [1,4,2,5,7,6,8,3]=>[8,5,7,4,2,3,1,6]=>[1,2,1,2,2]=>11011010=>5 [1,7,4,3,2,5,6,8]=>[8,2,5,6,7,4,3,1]=>[1,4,1,1,1]=>11000111=>2 [1,7,4,3,6,2,5,8]=>[8,2,5,6,3,7,4,1]=>[1,3,2,1,1]=>11001011=>4 [5,2,1,6,3,4,8,7]=>[4,7,8,3,6,5,1,2]=>[3,2,1,2]=>10010110=>5 [5,1,3,4,6,2,8,7]=>[4,8,6,5,3,7,1,2]=>[2,1,1,2,2]=>10111010=>5 [3,8,4,5,7,2,6,1]=>[6,1,5,4,2,7,3,8]=>[1,2,1,2,2]=>11011010=>5 [3,8,4,7,5,6,2,1]=>[6,1,5,2,4,3,7,8]=>[1,2,2,3]=>11010100=>5 [4,2,8,6,3,7,5,1]=>[5,7,1,3,6,2,4,8]=>[2,3,3]=>10100100=>5 [4,1,7,6,3,8,5,2]=>[5,8,2,3,6,1,4,7]=>[2,3,3]=>10100100=>5 [3,5,6,8,4,7,1,2]=>[6,4,3,1,5,2,8,7]=>[1,1,1,2,2,1]=>11110101=>4 [5,4,1,8,6,7,2,3]=>[4,5,8,1,3,2,7,6]=>[3,2,2,1]=>10010101=>6 [6,2,8,4,5,3,7,1]=>[3,7,1,5,4,6,2,8]=>[2,2,2,2]=>10101010=>7 [4,5,2,1,8,7,3,6]=>[5,4,7,8,1,2,6,3]=>[1,3,3,1]=>11001001=>4 [4,7,3,8,2,6,5,1]=>[5,2,6,1,7,3,4,8]=>[1,2,2,3]=>11010100=>5 [4,7,3,1,8,6,2,5]=>[5,2,6,8,1,3,7,4]=>[1,3,3,1]=>11001001=>4 [6,2,1,3,7,4,8,5]=>[3,7,8,6,2,5,1,4]=>[3,1,2,2]=>10011010=>5 [6,3,7,1,2,5,8,4]=>[3,6,2,8,7,4,1,5]=>[2,2,1,1,2]=>10101110=>5 [5,1,4,7,8,2,6,3]=>[4,8,5,2,1,7,3,6]=>[2,1,1,2,2]=>10111010=>5 [7,2,5,8,1,3,6,4]=>[2,7,4,1,8,6,3,5]=>[2,1,2,1,2]=>10110110=>5 [8,3,6,7,2,4,5,1]=>[1,6,3,2,7,5,4,8]=>[2,1,2,1,2]=>10110110=>5 [3,8,7,5,2,1,6,4]=>[6,1,2,4,7,8,3,5]=>[1,5,2]=>11000010=>3 [6,8,3,2,5,7,4,1]=>[3,1,6,7,4,2,5,8]=>[1,3,1,3]=>11001100=>3 [8,4,2,3,6,7,5,1]=>[1,5,7,6,3,2,4,8]=>[3,1,1,3]=>10011100=>3 [6,1,2,4,5,7,8,3]=>[3,8,7,5,4,2,1,6]=>[2,1,1,1,1,2]=>10111110=>3 [4,5,1,3,7,6,8,2]=>[5,4,8,6,2,3,1,7]=>[1,2,1,2,2]=>11011010=>5 [3,6,2,4,5,8,7,1]=>[6,3,7,5,4,1,2,8]=>[1,2,1,1,3]=>11011100=>3 [8,1,3,7,4,5,6,2]=>[1,8,6,2,5,4,3,7]=>[2,1,2,1,2]=>10110110=>5 [5,1,2,8,7,4,6,3]=>[4,8,7,1,2,5,3,6]=>[2,1,3,2]=>10110010=>5 [9,1,2,3,4,6,7,8,5]=>[1,9,8,7,6,4,3,2,5]=>[2,1,1,1,1,1,2]=>101111110=>3 [4,1,7,5,3,8,6,2]=>[5,8,2,4,6,1,3,7]=>[2,3,3]=>10100100=>5 [7,6,3,5,1,8,4,2]=>[2,3,6,4,8,1,5,7]=>[3,2,3]=>10010100=>5 [8,1,5,3,4,6,7,2]=>[1,8,4,6,5,3,2,7]=>[2,2,1,1,2]=>10101110=>5 [8,1,5,3,6,4,7,2]=>[1,8,4,6,3,5,2,7]=>[2,2,2,2]=>10101010=>7 [4,5,1,3,7,8,6,2]=>[5,4,8,6,2,1,3,7]=>[1,2,1,1,3]=>11011100=>3 [2,6,4,8,3,1,5,7]=>[7,3,5,1,6,8,4,2]=>[1,2,3,1,1]=>11010011=>4 [7,2,3,8,1,4,5,6]=>[2,7,6,1,8,5,4,3]=>[2,1,2,1,1,1]=>10110111=>4 [7,2,3,8,1,4,6,5]=>[2,7,6,1,8,5,3,4]=>[2,1,2,1,2]=>10110110=>5 [7,6,5,2,3,8,4,1]=>[2,3,4,7,6,1,5,8]=>[4,1,3]=>10001100=>3 [2,6,4,1,5,8,7,3]=>[7,3,5,8,4,1,2,6]=>[1,3,1,3]=>11001100=>3 [3,5,1,4,6,2,7,8]=>[6,4,8,5,3,7,2,1]=>[1,2,1,2,1,1]=>11011011=>4 [7,6,5,2,4,3,8,1]=>[2,3,4,7,5,6,1,8]=>[4,2,2]=>10001010=>5 [7,6,5,2,4,3,1,8]=>[2,3,4,7,5,6,8,1]=>[4,3,1]=>10001001=>4 [7,2,3,5,1,4,8,6]=>[2,7,6,4,8,5,1,3]=>[2,1,2,1,2]=>10110110=>5 [3,6,4,5,2,8,1,7]=>[6,3,5,4,7,1,8,2]=>[1,2,2,2,1]=>11010101=>6 [7,5,1,8,3,6,2,4]=>[2,4,8,1,6,3,7,5]=>[3,2,2,1]=>10010101=>6 [8,1,5,6,3,7,2,4]=>[1,8,4,3,6,2,7,5]=>[2,1,2,2,1]=>10110101=>6 [8,1,5,6,3,7,4,2]=>[1,8,4,3,6,2,5,7]=>[2,1,2,3]=>10110100=>5 [3,6,4,5,2,7,8,1]=>[6,3,5,4,7,2,1,8]=>[1,2,2,1,2]=>11010110=>5 [7,2,3,5,1,4,6,8]=>[2,7,6,4,8,5,3,1]=>[2,1,2,1,1,1]=>10110111=>4 [8,1,5,4,7,3,6,2]=>[1,8,4,5,2,6,3,7]=>[2,2,2,2]=>10101010=>7 [3,5,1,4,6,8,7,2]=>[6,4,8,5,3,1,2,7]=>[1,2,1,1,3]=>11011100=>3 [7,6,5,4,1,3,8,2]=>[2,3,4,5,8,6,1,7]=>[5,1,2]=>10000110=>3 [7,6,5,2,8,3,1,4]=>[2,3,4,7,1,6,8,5]=>[4,3,1]=>10001001=>4 [7,6,5,4,1,8,2,3]=>[2,3,4,5,8,1,7,6]=>[5,2,1]=>10000101=>4 [3,6,4,1,5,7,2,8]=>[6,3,5,8,4,2,7,1]=>[1,3,1,2,1]=>11001101=>4 [2,5,1,4,6,7,8,3]=>[7,4,8,5,3,2,1,6]=>[1,2,1,1,1,2]=>11011110=>3 [8,1,5,4,7,6,3,2]=>[1,8,4,5,2,3,6,7]=>[2,2,4]=>10101000=>5 [2,5,1,4,6,7,3,8]=>[7,4,8,5,3,2,6,1]=>[1,2,1,1,2,1]=>11011101=>4 [3,6,4,1,5,7,8,2]=>[6,3,5,8,4,2,1,7]=>[1,3,1,1,2]=>11001110=>3 [7,6,5,2,8,4,1,3]=>[2,3,4,7,1,5,8,6]=>[4,3,1]=>10001001=>4 [1,4,3,7,5,2,8,6]=>[8,5,6,2,4,7,1,3]=>[1,2,3,2]=>11010010=>5 [6,2,7,4,3,1,8,5]=>[3,7,2,5,6,8,1,4]=>[2,4,2]=>10100010=>5 [1,7,2,4,3,5,8,6]=>[8,2,7,5,6,4,1,3]=>[1,2,2,1,2]=>11010110=>5 [2,7,3,4,5,1,8,6]=>[7,2,6,5,4,8,1,3]=>[1,2,1,2,2]=>11011010=>5 [8,1,7,4,3,5,6,2]=>[1,8,2,5,6,4,3,7]=>[2,3,1,2]=>10100110=>5 [6,8,2,4,5,3,7,1]=>[3,1,7,5,4,6,2,8]=>[1,2,1,2,2]=>11011010=>5 [5,6,8,2,1,3,7,4]=>[4,3,1,7,8,6,2,5]=>[1,1,3,1,2]=>11100110=>3 [4,8,5,3,6,1,7,2]=>[5,1,4,6,3,8,2,7]=>[1,3,2,2]=>11001010=>5 [2,8,3,1,4,7,5,6]=>[7,1,6,8,5,2,4,3]=>[1,3,1,2,1]=>11001101=>4 [6,4,3,1,8,7,2,5]=>[3,5,6,8,1,2,7,4]=>[4,3,1]=>10001001=>4 [5,7,3,8,6,4,2,1]=>[4,2,6,1,3,5,7,8]=>[1,2,5]=>11010000=>3 [8,6,3,2,7,4,1,5]=>[1,3,6,7,2,5,8,4]=>[4,3,1]=>10001001=>4 [7,3,6,5,4,8,1,2]=>[2,6,3,4,5,1,8,7]=>[2,3,2,1]=>10100101=>6 [1,4,2,3,8,6,7,5]=>[8,5,7,6,1,3,2,4]=>[1,2,1,2,2]=>11011010=>5 [6,4,3,5,1,8,2,7]=>[3,5,6,4,8,1,7,2]=>[3,2,2,1]=>10010101=>6 [6,1,3,4,7,8,5,2]=>[3,8,6,5,2,1,4,7]=>[2,1,1,1,3]=>10111100=>3 [2,7,3,1,8,4,5,6]=>[7,2,6,8,1,5,4,3]=>[1,3,2,1,1]=>11001011=>4 [6,3,1,8,2,5,7,4]=>[3,6,8,1,7,4,2,5]=>[3,2,1,2]=>10010110=>5 [3,6,1,8,4,5,7,2]=>[6,3,8,1,5,4,2,7]=>[1,2,2,1,2]=>11010110=>5 [2,4,8,7,3,6,1,5]=>[7,5,1,2,6,3,8,4]=>[1,1,3,2,1]=>11100101=>4 [1,2,8,3,5,6,4,7]=>[8,7,1,6,4,3,5,2]=>[1,1,2,1,2,1]=>11101101=>4 [3,5,7,4,8,1,6,2]=>[6,4,2,5,1,8,3,7]=>[1,1,2,2,2]=>11101010=>5 [4,2,8,3,1,5,7,6]=>[5,7,1,6,8,4,2,3]=>[2,3,1,2]=>10100110=>5 [2,8,1,3,5,4,6,7]=>[7,1,8,6,4,5,3,2]=>[1,2,1,2,1,1]=>11011011=>4 [1,8,4,2,5,6,3,7]=>[8,1,5,7,4,3,6,2]=>[1,3,1,2,1]=>11001101=>4 [1,5,2,8,6,4,3,7]=>[8,4,7,1,3,5,6,2]=>[1,2,4,1]=>11010001=>4 [7,4,8,6,3,1,2,5]=>[2,5,1,3,6,8,7,4]=>[2,4,1,1]=>10100011=>4 [4,7,8,5,2,1,3,6]=>[5,2,1,4,7,8,6,3]=>[1,1,4,1,1]=>11100011=>2 [8,1,3,5,7,4,2,6]=>[1,8,6,4,2,5,7,3]=>[2,1,1,3,1]=>10111001=>4 [3,1,8,5,4,7,2,6]=>[6,8,1,4,5,2,7,3]=>[2,3,2,1]=>10100101=>6 [3,1,6,4,8,5,2,7]=>[6,8,3,5,1,4,7,2]=>[2,2,3,1]=>10101001=>6 [5,1,3,4,2,6,8,7]=>[4,8,6,5,7,3,1,2]=>[2,1,2,1,2]=>10110110=>5 [3,2,6,4,1,5,7,8]=>[6,7,3,5,8,4,2,1]=>[2,3,1,1,1]=>10100111=>4 [5,4,2,1,8,3,6,7]=>[4,5,7,8,1,6,3,2]=>[4,2,1,1]=>10001011=>4 [4,2,5,1,8,7,3,6]=>[5,7,4,8,1,2,6,3]=>[2,2,3,1]=>10101001=>6 [6,8,2,7,1,4,3,5]=>[3,1,7,2,8,5,6,4]=>[1,2,2,2,1]=>11010101=>6 [1,8,4,7,3,2,5,6]=>[8,1,5,2,6,7,4,3]=>[1,2,3,1,1]=>11010011=>4 [8,6,3,1,5,7,2,4]=>[1,3,6,8,4,2,7,5]=>[4,1,2,1]=>10001101=>4 [5,8,3,1,4,7,6,2]=>[4,1,6,8,5,2,3,7]=>[1,3,1,3]=>11001100=>3 [1,2,5,4,7,8,3,6]=>[8,7,4,5,2,1,6,3]=>[1,1,2,1,2,1]=>11101101=>4 [1,8,3,2,6,4,7,5]=>[8,1,6,7,3,5,2,4]=>[1,3,2,2]=>11001010=>5 [4,7,1,2,5,3,6,8]=>[5,2,8,7,4,6,3,1]=>[1,2,1,2,1,1]=>11011011=>4 [6,8,4,1,3,7,2,5]=>[3,1,5,8,6,2,7,4]=>[1,3,1,2,1]=>11001101=>4 [3,2,6,1,7,8,5,4]=>[6,7,3,8,2,1,4,5]=>[2,2,1,3]=>10101100=>5 [7,6,4,1,8,3,5,2]=>[2,3,5,8,1,6,4,7]=>[4,2,2]=>10001010=>5 [5,4,1,6,7,3,2,8]=>[4,5,8,3,2,6,7,1]=>[3,1,3,1]=>10011001=>4 [8,5,4,1,6,7,3,2]=>[1,4,5,8,3,2,6,7]=>[4,1,3]=>10001100=>3 [6,5,7,3,2,8,4,1]=>[3,4,2,6,7,1,5,8]=>[2,3,3]=>10100100=>5 [6,4,1,2,7,5,3,8]=>[3,5,8,7,2,4,6,1]=>[3,1,3,1]=>10011001=>4 [7,4,3,5,2,8,6,1]=>[2,5,6,4,7,1,3,8]=>[3,2,3]=>10010100=>5 [5,2,8,3,6,4,7,1]=>[4,7,1,6,3,5,2,8]=>[2,2,2,2]=>10101010=>7 [5,4,6,1,2,7,3,8]=>[4,5,3,8,7,2,6,1]=>[2,2,1,2,1]=>10101101=>6 [8,5,4,6,2,1,7,3]=>[1,4,5,3,7,8,2,6]=>[3,3,2]=>10010010=>5 [8,5,1,7,2,3,6,4]=>[1,4,8,2,7,6,3,5]=>[3,2,1,2]=>10010110=>5 [5,2,6,4,8,1,3,7]=>[4,7,3,5,1,8,6,2]=>[2,2,2,1,1]=>10101011=>6 [5,2,1,6,4,7,8,3]=>[4,7,8,3,5,2,1,6]=>[3,2,1,2]=>10010110=>5 [1,6,2,3,5,7,8,4]=>[8,3,7,6,4,2,1,5]=>[1,2,1,1,1,2]=>11011110=>3 [7,2,5,1,3,4,8,6]=>[2,7,4,8,6,5,1,3]=>[2,2,1,1,2]=>10101110=>5 [1,3,4,8,5,2,6,7]=>[8,6,5,1,4,7,3,2]=>[1,1,1,3,1,1]=>11110011=>2 [8,2,4,6,1,7,3,5]=>[1,7,5,3,8,2,6,4]=>[2,1,2,2,1]=>10110101=>6 [6,2,7,5,1,3,4,8]=>[3,7,2,4,8,6,5,1]=>[2,3,1,1,1]=>10100111=>4 [6,5,7,1,2,3,8,4]=>[3,4,2,8,7,6,1,5]=>[2,2,1,1,2]=>10101110=>5 [3,2,7,4,1,5,6,8]=>[6,7,2,5,8,4,3,1]=>[2,3,1,1,1]=>10100111=>4 [4,7,2,1,5,6,8,3]=>[5,2,7,8,4,3,1,6]=>[1,3,1,1,2]=>11001110=>3 [7,2,3,5,8,6,1,4]=>[2,7,6,4,1,3,8,5]=>[2,1,1,3,1]=>10111001=>4 [5,8,2,3,6,7,1,4]=>[4,1,7,6,3,2,8,5]=>[1,2,1,1,2,1]=>11011101=>4 [1,5,7,2,3,6,8,4]=>[8,4,2,7,6,3,1,5]=>[1,1,2,1,1,2]=>11101110=>3 [8,4,1,7,2,5,3,6]=>[1,5,8,2,7,4,6,3]=>[3,2,2,1]=>10010101=>6 [4,2,7,1,5,3,6,8]=>[5,7,2,8,4,6,3,1]=>[2,2,2,1,1]=>10101011=>6 [7,3,1,4,2,5,8,6]=>[2,6,8,5,7,4,1,3]=>[3,2,1,2]=>10010110=>5 [3,2,5,7,8,4,1,6]=>[6,7,4,2,1,5,8,3]=>[2,1,1,3,1]=>10111001=>4 [3,4,7,8,2,5,1,6]=>[6,5,2,1,7,4,8,3]=>[1,1,1,2,2,1]=>11110101=>4 [4,2,5,3,7,8,1,6]=>[5,7,4,6,2,1,8,3]=>[2,2,1,2,1]=>10101101=>6 [4,3,5,1,6,2,7,8]=>[5,6,4,8,3,7,2,1]=>[2,2,2,1,1]=>10101011=>6 [8,6,3,5,4,1,2,7]=>[1,3,6,4,5,8,7,2]=>[3,3,1,1]=>10010011=>4 [8,3,2,6,1,5,4,7]=>[1,6,7,3,8,4,5,2]=>[3,2,2,1]=>10010101=>6 [8,5,1,7,4,6,2,3]=>[1,4,8,2,5,3,7,6]=>[3,2,2,1]=>10010101=>6 [4,8,1,7,6,3,5,2]=>[5,1,8,2,3,6,4,7]=>[1,2,3,2]=>11010010=>5 [8,5,1,7,4,3,6,2]=>[1,4,8,2,5,6,3,7]=>[3,3,2]=>10010010=>5 [8,5,7,6,2,1,3,4]=>[1,4,2,3,7,8,6,5]=>[2,4,1,1]=>10100011=>4 [5,4,8,3,1,7,2,6]=>[4,5,1,6,8,2,7,3]=>[2,3,2,1]=>10100101=>6 [5,1,4,8,3,2,7,6]=>[4,8,5,1,6,7,2,3]=>[2,1,3,2]=>10110010=>5 [4,8,1,7,6,5,2,3]=>[5,1,8,2,3,4,7,6]=>[1,2,4,1]=>11010001=>4 [4,3,8,7,2,6,1,5]=>[5,6,1,2,7,3,8,4]=>[2,3,2,1]=>10100101=>6 [3,8,7,2,6,4,1,5]=>[6,1,2,7,3,5,8,4]=>[1,3,3,1]=>11001001=>4 [3,8,7,4,6,1,2,5]=>[6,1,2,5,3,8,7,4]=>[1,3,2,1,1]=>11001011=>4 [8,7,6,3,5,4,1,2]=>[1,2,3,6,4,5,8,7]=>[4,3,1]=>10001001=>4 [2,5,4,8,3,1,7,6]=>[7,4,5,1,6,8,2,3]=>[1,2,3,2]=>11010010=>5 [5,4,8,2,1,3,7,6]=>[4,5,1,7,8,6,2,3]=>[2,3,1,2]=>10100110=>5 [3,8,7,2,6,1,5,4]=>[6,1,2,7,3,8,4,5]=>[1,3,2,2]=>11001010=>5 [1,8,3,7,6,5,2,4]=>[8,1,6,2,3,4,7,5]=>[1,2,4,1]=>11010001=>4 [1,4,3,8,7,2,6,5]=>[8,5,6,1,2,7,3,4]=>[1,2,3,2]=>11010010=>5 [7,8,1,5,2,3,6,4]=>[2,1,8,4,7,6,3,5]=>[1,2,2,1,2]=>11010110=>5 [7,4,1,3,6,2,5,8]=>[2,5,8,6,3,7,4,1]=>[3,1,2,1,1]=>10011011=>4 [5,6,1,8,4,2,7,3]=>[4,3,8,1,5,7,2,6]=>[1,2,3,2]=>11010010=>5 [7,8,6,4,1,5,3,2]=>[2,1,3,5,8,4,6,7]=>[1,4,3]=>11000100=>3 [5,4,3,1,7,6,2,8]=>[4,5,6,8,2,3,7,1]=>[4,3,1]=>10001001=>4 [3,1,6,5,7,4,2,8]=>[6,8,3,4,2,5,7,1]=>[2,2,3,1]=>10101001=>6 [5,6,1,7,4,2,3,8]=>[4,3,8,2,5,7,6,1]=>[1,2,3,1,1]=>11010011=>4 [4,2,7,8,5,1,6,3]=>[5,7,2,1,4,8,3,6]=>[2,1,3,2]=>10110010=>5 [7,3,8,6,4,5,2,1]=>[2,6,1,3,5,4,7,8]=>[2,3,3]=>10100100=>5 [3,8,6,1,7,4,2,5]=>[6,1,3,8,2,5,7,4]=>[1,3,3,1]=>11001001=>4 [2,6,8,3,1,7,4,5]=>[7,3,1,6,8,2,5,4]=>[1,1,3,2,1]=>11100101=>4 [2,5,4,8,1,7,3,6]=>[7,4,5,1,8,2,6,3]=>[1,2,2,2,1]=>11010101=>6 [7,6,2,8,4,3,5,1]=>[2,3,7,1,5,6,4,8]=>[3,3,2]=>10010010=>5 [6,8,1,2,5,7,3,4]=>[3,1,8,7,4,2,6,5]=>[1,2,1,1,2,1]=>11011101=>4 [3,8,6,4,7,5,2,1]=>[6,1,3,5,2,4,7,8]=>[1,3,4]=>11001000=>3 [5,6,3,1,4,2,7,8]=>[4,3,6,8,5,7,2,1]=>[1,3,2,1,1]=>11001011=>4 [2,6,5,3,4,8,7,1]=>[7,3,4,6,5,1,2,8]=>[1,3,1,3]=>11001100=>3 [3,1,5,4,2,6,7,8]=>[6,8,4,5,7,3,2,1]=>[2,3,1,1,1]=>10100111=>4 [2,6,1,5,3,4,7,8]=>[7,3,8,4,6,5,2,1]=>[1,2,2,1,1,1]=>11010111=>4 [5,2,3,6,7,4,1,8]=>[4,7,6,3,2,5,8,1]=>[2,1,1,3,1]=>10111001=>4 [3,6,2,7,4,5,1,8]=>[6,3,7,2,5,4,8,1]=>[1,2,2,2,1]=>11010101=>6 [2,3,7,1,6,4,5,8]=>[7,6,2,8,3,5,4,1]=>[1,1,2,2,1,1]=>11101011=>4 [3,4,7,8,5,1,6,2]=>[6,5,2,1,4,8,3,7]=>[1,1,1,3,2]=>11110010=>3 [3,6,2,4,7,8,5,1]=>[6,3,7,5,2,1,4,8]=>[1,2,1,1,3]=>11011100=>3 [8,7,5,4,2,6,3,1]=>[1,2,4,5,7,3,6,8]=>[5,3]=>10000100=>3 [3,7,6,2,5,4,8,1]=>[6,2,3,7,4,5,1,8]=>[1,3,2,2]=>11001010=>5 [5,3,6,4,8,7,2,1]=>[4,6,3,5,1,2,7,8]=>[2,2,4]=>10101000=>5 [7,5,1,2,6,4,8,3]=>[2,4,8,7,3,5,1,6]=>[3,1,2,2]=>10011010=>5 [5,3,8,1,2,7,6,4]=>[4,6,1,8,7,2,3,5]=>[2,2,1,3]=>10101100=>5 [2,1,8,6,5,3,7,4]=>[7,8,1,3,4,6,2,5]=>[2,4,2]=>10100010=>5 [5,8,3,1,2,7,6,4]=>[4,1,6,8,7,2,3,5]=>[1,3,1,3]=>11001100=>3 [7,3,4,6,5,8,2,1]=>[2,6,5,3,4,1,7,8]=>[2,1,2,3]=>10110100=>5 [6,5,2,4,7,3,8,1]=>[3,4,7,5,2,6,1,8]=>[3,1,2,2]=>10011010=>5 [6,1,5,7,4,8,2,3]=>[3,8,4,2,5,1,7,6]=>[2,1,2,2,1]=>10110101=>6 [8,1,4,3,7,5,2,6]=>[1,8,5,6,2,4,7,3]=>[2,2,3,1]=>10101001=>6 [7,4,6,1,5,8,2,3]=>[2,5,3,8,4,1,7,6]=>[2,2,1,2,1]=>10101101=>6 [4,8,5,1,2,3,6,7]=>[5,1,4,8,7,6,3,2]=>[1,3,1,1,1,1]=>11001111=>2 [8,6,2,4,5,1,3,7]=>[1,3,7,5,4,8,6,2]=>[3,1,2,1,1]=>10011011=>4 [4,5,1,3,8,6,2,7]=>[5,4,8,6,1,3,7,2]=>[1,2,1,3,1]=>11011001=>4 [8,5,1,3,4,7,2,6]=>[1,4,8,6,5,2,7,3]=>[3,1,1,2,1]=>10011101=>4 [4,2,7,1,3,6,8,5]=>[5,7,2,8,6,3,1,4]=>[2,2,1,1,2]=>10101110=>5 [8,4,5,6,2,7,3,1]=>[1,5,4,3,7,2,6,8]=>[2,1,2,3]=>10110100=>5 [5,8,3,6,4,7,2,1]=>[4,1,6,3,5,2,7,8]=>[1,2,2,3]=>11010100=>5 [1,5,8,4,6,2,7,3]=>[8,4,1,5,3,7,2,6]=>[1,1,2,2,2]=>11101010=>5 [1,7,5,6,2,8,4,3]=>[8,2,4,3,7,1,5,6]=>[1,2,2,3]=>11010100=>5 [7,3,6,5,8,4,2,1]=>[2,6,3,4,1,5,7,8]=>[2,2,4]=>10101000=>5 [7,4,2,3,6,8,5,1]=>[2,5,7,6,3,1,4,8]=>[3,1,1,3]=>10011100=>3 [2,7,3,8,5,4,6,1]=>[7,2,6,1,4,5,3,8]=>[1,2,3,2]=>11010010=>5 [2,1,6,7,4,8,3,5]=>[7,8,3,2,5,1,6,4]=>[2,1,2,2,1]=>10110101=>6 [7,4,8,5,1,2,6,3]=>[2,5,1,4,8,7,3,6]=>[2,3,1,2]=>10100110=>5 [6,4,5,7,2,8,3,1]=>[3,5,4,2,7,1,6,8]=>[2,1,2,3]=>10110100=>5 [7,8,1,3,6,4,5,2]=>[2,1,8,6,3,5,4,7]=>[1,2,1,2,2]=>11011010=>5 [7,3,6,8,5,1,4,2]=>[2,6,3,1,4,8,5,7]=>[2,1,3,2]=>10110010=>5 [7,5,8,1,6,2,4,3]=>[2,4,1,8,3,7,5,6]=>[2,2,2,2]=>10101010=>7 [5,7,8,1,6,3,2,4]=>[4,2,1,8,3,6,7,5]=>[1,1,2,3,1]=>11101001=>4 [7,2,6,8,5,1,4,3]=>[2,7,3,1,4,8,5,6]=>[2,1,3,2]=>10110010=>5 [7,8,3,1,6,2,5,4]=>[2,1,6,8,3,7,4,5]=>[1,3,2,2]=>11001010=>5 [6,7,8,4,3,1,5,2]=>[3,2,1,5,6,8,4,7]=>[1,1,4,2]=>11100010=>3 [7,5,2,8,1,4,6,3]=>[2,4,7,1,8,5,3,6]=>[3,2,1,2]=>10010110=>5 [3,7,8,2,6,5,1,4]=>[6,2,1,7,3,4,8,5]=>[1,1,2,3,1]=>11101001=>4 [3,7,8,2,1,6,4,5]=>[6,2,1,7,8,3,5,4]=>[1,1,3,2,1]=>11100101=>4 [7,8,1,6,3,5,4,2]=>[2,1,8,3,6,4,5,7]=>[1,2,2,3]=>11010100=>5 [6,7,8,3,1,5,4,2]=>[3,2,1,6,8,4,5,7]=>[1,1,3,3]=>11100100=>3 [7,8,1,6,2,5,4,3]=>[2,1,8,3,7,4,5,6]=>[1,2,2,3]=>11010100=>5 [5,6,1,4,3,8,2,7]=>[4,3,8,5,6,1,7,2]=>[1,2,2,2,1]=>11010101=>6 [4,1,8,3,7,6,5,2]=>[5,8,1,6,2,3,4,7]=>[2,2,4]=>10101000=>5 [7,1,6,8,5,4,3,2]=>[2,8,3,1,4,5,6,7]=>[2,1,5]=>10110000=>3 [8,7,1,6,5,4,2,3]=>[1,2,8,3,4,5,7,6]=>[3,4,1]=>10010001=>4 [4,7,6,2,5,3,1,8]=>[5,2,3,7,4,6,8,1]=>[1,3,3,1]=>11001001=>4 [7,8,1,6,5,4,2,3]=>[2,1,8,3,4,5,7,6]=>[1,2,4,1]=>11010001=>4 [3,5,2,8,4,1,7,6]=>[6,4,7,1,5,8,2,3]=>[1,2,3,2]=>11010010=>5 [4,6,8,2,5,3,1,7]=>[5,3,1,7,4,6,8,2]=>[1,1,2,3,1]=>11101001=>4 [4,5,8,2,3,6,1,7]=>[5,4,1,7,6,3,8,2]=>[1,1,2,1,2,1]=>11101101=>4 [7,6,8,1,5,3,2,4]=>[2,3,1,8,4,6,7,5]=>[2,2,3,1]=>10101001=>6 [8,6,7,4,1,3,2,5]=>[1,3,2,5,8,6,7,4]=>[2,3,2,1]=>10100101=>6 [6,8,7,4,1,2,3,5]=>[3,1,2,5,8,7,6,4]=>[1,4,1,1,1]=>11000111=>2 [5,6,8,1,2,3,7,4]=>[4,3,1,8,7,6,2,5]=>[1,1,2,1,1,2]=>11101110=>3 [5,6,1,8,2,4,7,3]=>[4,3,8,1,7,5,2,6]=>[1,2,2,1,2]=>11010110=>5 [4,8,1,2,7,6,5,3]=>[5,1,8,7,2,3,4,6]=>[1,2,1,4]=>11011000=>3 [4,6,1,2,8,5,7,3]=>[5,3,8,7,1,4,2,6]=>[1,2,1,2,2]=>11011010=>5 [3,7,2,1,8,6,5,4]=>[6,2,7,8,1,3,4,5]=>[1,3,4]=>11001000=>3 [5,4,7,3,2,6,1,8]=>[4,5,2,6,7,3,8,1]=>[2,3,2,1]=>10100101=>6 [6,4,7,3,5,2,1,8]=>[3,5,2,6,4,7,8,1]=>[2,2,3,1]=>10101001=>6 [3,8,2,7,5,1,4,6]=>[6,1,7,2,4,8,5,3]=>[1,2,3,1,1]=>11010011=>4 [3,6,2,8,1,4,7,5]=>[6,3,7,1,8,5,2,4]=>[1,2,2,1,2]=>11010110=>5 [4,7,8,2,1,6,3,5]=>[5,2,1,7,8,3,6,4]=>[1,1,3,2,1]=>11100101=>4 [5,7,8,4,2,1,3,6]=>[4,2,1,5,7,8,6,3]=>[1,1,4,1,1]=>11100011=>2 [6,4,8,3,1,2,7,5]=>[3,5,1,6,8,7,2,4]=>[2,3,1,2]=>10100110=>5 [6,4,8,3,5,2,1,7]=>[3,5,1,6,4,7,8,2]=>[2,2,3,1]=>10101001=>6 [3,1,6,2,5,7,8,4]=>[6,8,3,7,4,2,1,5]=>[2,2,1,1,2]=>10101110=>5 [3,1,6,5,7,8,2,4]=>[6,8,3,4,2,1,7,5]=>[2,2,1,2,1]=>10101101=>6 [1,6,5,2,7,3,4,8]=>[8,3,4,7,2,6,5,1]=>[1,3,2,1,1]=>11001011=>4 [1,4,7,3,2,5,6,8]=>[8,5,2,6,7,4,3,1]=>[1,1,3,1,1,1]=>11100111=>2 [2,1,6,5,7,3,4,8]=>[7,8,3,4,2,6,5,1]=>[2,2,2,1,1]=>10101011=>6 [2,7,4,3,5,1,6,8]=>[7,2,5,6,4,8,3,1]=>[1,3,2,1,1]=>11001011=>4 [3,1,6,7,4,2,5,8]=>[6,8,3,2,5,7,4,1]=>[2,1,3,1,1]=>10110011=>4 [1,3,7,4,5,2,6,8]=>[8,6,2,5,4,7,3,1]=>[1,1,2,2,1,1]=>11101011=>4 [6,2,1,4,5,3,7,8]=>[3,7,8,5,4,6,2,1]=>[3,1,2,1,1]=>10011011=>4 [6,2,1,5,7,3,4,8]=>[3,7,8,4,2,6,5,1]=>[3,1,2,1,1]=>10011011=>4 [6,2,4,8,3,5,1,7]=>[3,7,5,1,6,4,8,2]=>[2,1,2,2,1]=>10110101=>6 [2,7,4,5,3,1,6,8]=>[7,2,5,4,6,8,3,1]=>[1,2,3,1,1]=>11010011=>4 [1,2,3,4,5,8,9,6,7]=>[9,8,7,6,5,2,1,4,3]=>[1,1,1,1,1,1,2,1]=>111111101=>2 [1,2,3,4,7,9,5,8,6]=>[9,8,7,6,3,1,5,2,4]=>[1,1,1,1,1,2,2]=>111111010=>3 [1,2,4,6,8,3,7,5]=>[8,7,5,3,1,6,2,4]=>[1,1,1,1,2,2]=>11111010=>3 [1,3,5,8,2,6,7,4]=>[8,6,4,1,7,3,2,5]=>[1,1,1,2,1,2]=>11110110=>3 [2,1,8,3,6,5,4,7]=>[7,8,1,6,3,4,5,2]=>[2,2,3,1]=>10101001=>6 [2,8,7,3,6,5,4,1]=>[7,1,2,6,3,4,5,8]=>[1,3,4]=>11001000=>3 [6,4,5,8,3,7,1,2]=>[3,5,4,1,6,2,8,7]=>[2,1,2,2,1]=>10110101=>6 [8,1,4,3,6,7,2,5]=>[1,8,5,6,3,2,7,4]=>[2,2,1,2,1]=>10101101=>6 [2,6,8,4,3,1,7,5]=>[7,3,1,5,6,8,2,4]=>[1,1,4,2]=>11100010=>3 [3,8,5,1,6,2,4,7]=>[6,1,4,8,3,7,5,2]=>[1,3,2,1,1]=>11001011=>4 [8,1,5,2,6,4,3,7]=>[1,8,4,7,3,5,6,2]=>[2,2,3,1]=>10101001=>6 [8,1,6,5,2,4,3,7]=>[1,8,3,4,7,5,6,2]=>[2,3,2,1]=>10100101=>6 [3,8,6,5,1,2,4,7]=>[6,1,3,4,8,7,5,2]=>[1,4,1,1,1]=>11000111=>2 [1,4,5,7,8,3,2,6]=>[8,5,4,2,1,6,7,3]=>[1,1,1,1,3,1]=>11111001=>2 [1,7,8,4,3,6,2,5]=>[8,2,1,5,6,3,7,4]=>[1,1,3,2,1]=>11100101=>4 [5,7,8,1,4,3,2,6]=>[4,2,1,8,5,6,7,3]=>[1,1,2,3,1]=>11101001=>4 [1,5,8,7,4,3,2,6]=>[8,4,1,2,5,6,7,3]=>[1,1,5,1]=>11100001=>2 [5,1,3,7,8,2,4,6]=>[4,8,6,2,1,7,5,3]=>[2,1,1,2,1,1]=>10111011=>4 [1,7,8,4,3,2,6,5]=>[8,2,1,5,6,7,3,4]=>[1,1,4,2]=>11100010=>3 [1,4,7,2,3,6,8,5]=>[8,5,2,7,6,3,1,4]=>[1,1,2,1,1,2]=>11101110=>3 [3,1,2,6,7,8,5,4]=>[6,8,7,3,2,1,4,5]=>[2,1,1,1,3]=>10111100=>3 [2,7,1,4,3,5,8,6]=>[7,2,8,5,6,4,1,3]=>[1,2,2,1,2]=>11010110=>5 [8,1,5,7,3,4,2,6]=>[1,8,4,2,6,5,7,3]=>[2,1,2,2,1]=>10110101=>6 [8,5,1,3,2,7,4,6]=>[1,4,8,6,7,2,5,3]=>[3,2,2,1]=>10010101=>6 [1,6,3,4,7,8,2,5]=>[8,3,6,5,2,1,7,4]=>[1,2,1,1,2,1]=>11011101=>4 [3,1,5,7,6,2,8,4]=>[6,8,4,2,3,7,1,5]=>[2,1,3,2]=>10110010=>5 [6,3,1,4,2,7,8,5]=>[3,6,8,5,7,2,1,4]=>[3,2,1,2]=>10010110=>5 [2,4,3,7,6,1,8,5]=>[7,5,6,2,3,8,1,4]=>[1,2,3,2]=>11010010=>5 [3,1,7,6,5,2,8,4]=>[6,8,2,3,4,7,1,5]=>[2,4,2]=>10100010=>5 [1,4,7,6,8,3,2,5]=>[8,5,2,3,1,6,7,4]=>[1,1,2,3,1]=>11101001=>4 [4,3,1,8,6,2,7,5]=>[5,6,8,1,3,7,2,4]=>[3,3,2]=>10010010=>5 [3,1,5,2,8,7,6,4]=>[6,8,4,7,1,2,3,5]=>[2,2,4]=>10101000=>5 [1,2,8,4,3,7,6,5]=>[8,7,1,5,6,2,3,4]=>[1,1,3,3]=>11100100=>3 [2,6,1,8,7,4,3,5]=>[7,3,8,1,2,5,6,4]=>[1,2,4,1]=>11010001=>4 [7,5,1,8,3,2,6,4]=>[2,4,8,1,6,7,3,5]=>[3,3,2]=>10010010=>5 [5,3,1,8,6,2,4,7]=>[4,6,8,1,3,7,5,2]=>[3,3,1,1]=>10010011=>4 [5,1,8,6,3,2,4,7]=>[4,8,1,3,6,7,5,2]=>[2,4,1,1]=>10100011=>4 [1,5,4,2,8,6,3,7]=>[8,4,5,7,1,3,6,2]=>[1,3,3,1]=>11001001=>4 [7,3,2,4,8,5,1,6]=>[2,6,7,5,1,4,8,3]=>[3,1,3,1]=>10011001=>4 [5,7,8,1,4,2,6,3]=>[4,2,1,8,5,7,3,6]=>[1,1,2,2,2]=>11101010=>5 [2,6,3,8,1,7,5,4]=>[7,3,6,1,8,2,4,5]=>[1,2,2,3]=>11010100=>5 [2,5,1,8,6,3,7,4]=>[7,4,8,1,3,6,2,5]=>[1,2,3,2]=>11010010=>5 [2,8,6,4,1,7,3,5]=>[7,1,3,5,8,2,6,4]=>[1,4,2,1]=>11000101=>4 [1,8,4,2,7,5,3,6]=>[8,1,5,7,2,4,6,3]=>[1,3,3,1]=>11001001=>4 [6,5,1,7,2,8,4,3]=>[3,4,8,2,7,1,5,6]=>[3,2,3]=>10010100=>5 [2,8,1,7,5,3,6,4]=>[7,1,8,2,4,6,3,5]=>[1,2,3,2]=>11010010=>5 [1,2,8,7,6,4,3,5]=>[8,7,1,2,3,5,6,4]=>[1,1,5,1]=>11100001=>2 [4,1,7,8,6,3,5,2]=>[5,8,2,1,3,6,4,7]=>[2,1,3,2]=>10110010=>5 [1,6,5,7,8,4,2,3]=>[8,3,4,2,1,5,7,6]=>[1,2,1,3,1]=>11011001=>4 [4,1,8,7,6,3,5,2]=>[5,8,1,2,3,6,4,7]=>[2,4,2]=>10100010=>5 [4,8,2,6,3,5,1,7]=>[5,1,7,3,6,4,8,2]=>[1,2,2,2,1]=>11010101=>6 [4,3,5,7,1,6,2,8]=>[5,6,4,2,8,3,7,1]=>[2,1,2,2,1]=>10110101=>6 [4,1,8,5,3,6,2,7]=>[5,8,1,4,6,3,7,2]=>[2,3,2,1]=>10100101=>6 [6,4,2,5,3,1,7,8]=>[3,5,7,4,6,8,2,1]=>[3,3,1,1]=>10010011=>4 [3,1,5,8,2,7,4,6]=>[6,8,4,1,7,2,5,3]=>[2,1,2,2,1]=>10110101=>6 [6,4,1,5,3,2,7,8]=>[3,5,8,4,6,7,2,1]=>[3,3,1,1]=>10010011=>4 [6,2,1,5,4,3,7,8]=>[3,7,8,4,5,6,2,1]=>[3,3,1,1]=>10010011=>4 [3,1,8,5,4,6,2,7]=>[6,8,1,4,5,3,7,2]=>[2,3,2,1]=>10100101=>6 [6,1,8,4,5,3,2,7]=>[3,8,1,5,4,6,7,2]=>[2,2,3,1]=>10101001=>6 [4,5,2,7,1,6,3,8]=>[5,4,7,2,8,3,6,1]=>[1,2,2,2,1]=>11010101=>6 [4,3,5,7,1,6,8,2]=>[5,6,4,2,8,3,1,7]=>[2,1,2,1,2]=>10110110=>5 [4,1,8,5,3,6,7,2]=>[5,8,1,4,6,3,2,7]=>[2,3,1,2]=>10100110=>5 [6,3,8,4,5,1,7,2]=>[3,6,1,5,4,8,2,7]=>[2,2,2,2]=>10101010=>7 [2,6,1,8,5,7,4,3]=>[7,3,8,1,4,2,5,6]=>[1,2,2,3]=>11010100=>5 [6,3,8,4,5,2,1,7]=>[3,6,1,5,4,7,8,2]=>[2,2,3,1]=>10101001=>6 [6,5,8,7,2,3,4,1]=>[3,4,1,2,7,6,5,8]=>[2,3,1,2]=>10100110=>5 [6,3,8,4,5,2,7,1]=>[3,6,1,5,4,7,2,8]=>[2,2,2,2]=>10101010=>7 [2,1,6,8,5,3,7,4]=>[7,8,3,1,4,6,2,5]=>[2,1,3,2]=>10110010=>5 [3,2,6,8,5,4,7,1]=>[6,7,3,1,4,5,2,8]=>[2,1,3,2]=>10110010=>5 [4,1,8,5,2,6,3,7]=>[5,8,1,4,7,3,6,2]=>[2,3,2,1]=>10100101=>6 [3,1,6,8,5,2,4,7]=>[6,8,3,1,4,7,5,2]=>[2,1,3,1,1]=>10110011=>4 [6,5,8,7,4,1,2,3]=>[3,4,1,2,5,8,7,6]=>[2,4,1,1]=>10100011=>4 [6,5,8,7,4,2,1,3]=>[3,4,1,2,5,7,8,6]=>[2,5,1]=>10100001=>4 [6,5,8,7,2,4,1,3]=>[3,4,1,2,7,5,8,6]=>[2,3,2,1]=>10100101=>6 [6,2,8,4,5,7,1,3]=>[3,7,1,5,4,2,8,6]=>[2,2,1,2,1]=>10101101=>6 [6,1,8,4,5,7,3,2]=>[3,8,1,5,4,2,6,7]=>[2,2,1,3]=>10101100=>5 [4,2,7,3,5,8,6,1]=>[5,7,2,6,4,1,3,8]=>[2,2,1,3]=>10101100=>5 [3,6,2,4,8,5,7,1]=>[6,3,7,5,1,4,2,8]=>[1,2,1,2,2]=>11011010=>5 [4,7,3,5,2,8,6,1]=>[5,2,6,4,7,1,3,8]=>[1,2,2,3]=>11010100=>5 [3,5,1,8,4,7,6,2]=>[6,4,8,1,5,2,3,7]=>[1,2,2,3]=>11010100=>5 [3,6,1,8,5,4,7,2]=>[6,3,8,1,4,5,2,7]=>[1,2,3,2]=>11010010=>5 [2,4,8,3,7,6,5,1]=>[7,5,1,6,2,3,4,8]=>[1,1,2,4]=>11101000=>3 [3,6,8,2,5,7,4,1]=>[6,3,1,7,4,2,5,8]=>[1,1,2,1,3]=>11101100=>3 [5,1,7,8,4,6,3,2]=>[4,8,2,1,5,3,6,7]=>[2,1,2,3]=>10110100=>5 [2,6,8,5,4,3,7,1]=>[7,3,1,4,5,6,2,8]=>[1,1,4,2]=>11100010=>3 [3,6,8,2,5,4,7,1]=>[6,3,1,7,4,5,2,8]=>[1,1,2,2,2]=>11101010=>5 [4,6,2,8,3,5,7,1]=>[5,3,7,1,6,4,2,8]=>[1,2,2,1,2]=>11010110=>5 [3,6,1,8,5,7,4,2]=>[6,3,8,1,4,2,5,7]=>[1,2,2,3]=>11010100=>5 [5,2,6,8,4,1,7,3]=>[4,7,3,1,5,8,2,6]=>[2,1,3,2]=>10110010=>5 [4,6,3,8,7,2,5,1]=>[5,3,6,1,2,7,4,8]=>[1,2,3,2]=>11010010=>5 [3,5,8,2,7,4,6,1]=>[6,4,1,7,2,5,3,8]=>[1,1,2,2,2]=>11101010=>5 [2,6,7,8,5,1,4,3]=>[7,3,2,1,4,8,5,6]=>[1,1,1,3,2]=>11110010=>3 [6,5,3,1,7,4,8,2]=>[3,4,6,8,2,5,1,7]=>[4,2,2]=>10001010=>5 [6,4,1,7,2,5,8,3]=>[3,5,8,2,7,4,1,6]=>[3,2,1,2]=>10010110=>5 [7,5,1,6,3,2,8,4]=>[2,4,8,3,6,7,1,5]=>[3,3,2]=>10010010=>5 [7,1,5,2,3,8,4,6]=>[2,8,4,7,6,1,5,3]=>[2,2,1,2,1]=>10101101=>6 [2,7,6,3,4,1,8,5]=>[7,2,3,6,5,8,1,4]=>[1,3,2,2]=>11001010=>5 [5,7,6,3,1,2,8,4]=>[4,2,3,6,8,7,1,5]=>[1,4,1,2]=>11000110=>3 [8,6,4,3,1,7,5,2]=>[1,3,5,6,8,2,4,7]=>[5,3]=>10000100=>3 [6,7,5,1,4,8,2,3]=>[3,2,4,8,5,1,7,6]=>[1,3,1,2,1]=>11001101=>4 [4,8,2,1,7,5,6,3]=>[5,1,7,8,2,4,3,6]=>[1,3,2,2]=>11001010=>5 [6,3,8,5,7,2,4,1]=>[3,6,1,4,2,7,5,8]=>[2,2,2,2]=>10101010=>7 [1,5,4,8,6,2,3,7]=>[8,4,5,1,3,7,6,2]=>[1,2,3,1,1]=>11010011=>4 [8,2,1,7,5,3,6,4]=>[1,7,8,2,4,6,3,5]=>[3,3,2]=>10010010=>5 [8,3,4,7,1,5,6,2]=>[1,6,5,2,8,4,3,7]=>[2,1,2,1,2]=>10110110=>5 [2,5,1,7,4,8,3,6]=>[7,4,8,2,5,1,6,3]=>[1,2,2,2,1]=>11010101=>6 [5,1,7,4,2,8,3,6]=>[4,8,2,5,7,1,6,3]=>[2,3,2,1]=>10100101=>6 [5,3,2,8,7,6,1,4]=>[4,6,7,1,2,3,8,5]=>[3,4,1]=>10010001=>4 [6,2,8,1,7,5,3,4]=>[3,7,1,8,2,4,6,5]=>[2,2,3,1]=>10101001=>6 [3,2,6,8,1,7,5,4]=>[6,7,3,1,8,2,4,5]=>[2,1,2,3]=>10110100=>5 [4,2,8,7,5,1,6,3]=>[5,7,1,2,4,8,3,6]=>[2,4,2]=>10100010=>5 [8,3,7,6,4,5,2,1]=>[1,6,2,3,5,4,7,8]=>[2,3,3]=>10100100=>5 [3,5,1,8,7,6,2,4]=>[6,4,8,1,2,3,7,5]=>[1,2,4,1]=>11010001=>4 [5,6,2,7,8,1,3,4]=>[4,3,7,2,1,8,6,5]=>[1,2,1,2,1,1]=>11011011=>4 [2,7,5,1,3,4,6,8]=>[7,2,4,8,6,5,3,1]=>[1,3,1,1,1,1]=>11001111=>2 [4,7,3,1,2,5,6,8]=>[5,2,6,8,7,4,3,1]=>[1,3,1,1,1,1]=>11001111=>2 [4,7,3,5,6,8,1,2]=>[5,2,6,4,3,1,8,7]=>[1,2,1,1,2,1]=>11011101=>4 [4,7,8,3,5,6,1,2]=>[5,2,1,6,4,3,8,7]=>[1,1,2,1,2,1]=>11101101=>4 [4,7,8,3,5,1,2,6]=>[5,2,1,6,4,8,7,3]=>[1,1,2,2,1,1]=>11101011=>4 [1,2,3,4,5,8,6,7,9]=>[9,8,7,6,5,2,4,3,1]=>[1,1,1,1,1,2,1,1]=>111111011=>2 [2,1,3,4,5,6,9,7,8]=>[8,9,7,6,5,4,1,3,2]=>[2,1,1,1,1,2,1]=>101111101=>4 [1,2,3,4,5,7,8,6,9]=>[9,8,7,6,5,3,2,4,1]=>[1,1,1,1,1,1,2,1]=>111111101=>2 [3,2,5,1,4,8,6,7]=>[6,7,4,8,5,1,3,2]=>[2,2,1,2,1]=>10101101=>6 [3,2,5,6,8,4,7,1]=>[6,7,4,3,1,5,2,8]=>[2,1,1,2,2]=>10111010=>5 [8,4,6,5,2,3,7,1]=>[1,5,3,4,7,6,2,8]=>[2,3,1,2]=>10100110=>5 [8,4,5,2,6,3,7,1]=>[1,5,4,7,3,6,2,8]=>[2,2,2,2]=>10101010=>7 [2,5,6,4,8,3,7,1]=>[7,4,3,5,1,6,2,8]=>[1,1,2,2,2]=>11101010=>5 [5,3,2,4,7,8,1,6]=>[4,6,7,5,2,1,8,3]=>[3,1,1,2,1]=>10011101=>4 [4,2,5,7,3,8,1,6]=>[5,7,4,2,6,1,8,3]=>[2,1,2,2,1]=>10110101=>6 [4,7,3,1,6,8,2,5]=>[5,2,6,8,3,1,7,4]=>[1,3,1,2,1]=>11001101=>4 [4,2,3,6,7,1,8,5]=>[5,7,6,3,2,8,1,4]=>[2,1,1,2,2]=>10111010=>5 [4,2,7,6,8,1,3,5]=>[5,7,2,3,1,8,6,4]=>[2,2,2,1,1]=>10101011=>6 [1,2,5,7,6,3,8,4]=>[8,7,4,2,3,6,1,5]=>[1,1,1,3,2]=>11110010=>3 [1,3,7,8,6,5,2,4]=>[8,6,2,1,3,4,7,5]=>[1,1,1,4,1]=>11110001=>2 [1,6,5,7,3,2,8,4]=>[8,3,4,2,6,7,1,5]=>[1,2,3,2]=>11010010=>5 [5,2,6,8,1,7,3,4]=>[4,7,3,1,8,2,6,5]=>[2,1,2,2,1]=>10110101=>6 [5,2,6,7,1,3,8,4]=>[4,7,3,2,8,6,1,5]=>[2,1,2,1,2]=>10110110=>5 [6,2,4,3,7,1,8,5]=>[3,7,5,6,2,8,1,4]=>[2,2,2,2]=>10101010=>7 [5,2,7,6,1,8,3,4]=>[4,7,2,3,8,1,6,5]=>[2,3,2,1]=>10100101=>6 [5,6,3,7,1,2,8,4]=>[4,3,6,2,8,7,1,5]=>[1,2,2,1,2]=>11010110=>5 [4,7,2,5,6,3,1,8]=>[5,2,7,4,3,6,8,1]=>[1,2,1,3,1]=>11011001=>4 [1,3,2,7,6,4,8,5]=>[8,6,7,2,3,5,1,4]=>[1,2,3,2]=>11010010=>5 [5,4,1,3,7,8,2,6]=>[4,5,8,6,2,1,7,3]=>[3,1,1,2,1]=>10011101=>4 [5,1,3,6,7,8,2,4]=>[4,8,6,3,2,1,7,5]=>[2,1,1,1,2,1]=>10111101=>4 [6,1,5,8,3,7,2,4]=>[3,8,4,1,6,2,7,5]=>[2,1,2,2,1]=>10110101=>6 [4,1,2,7,5,3,8,6]=>[5,8,7,2,4,6,1,3]=>[2,1,3,2]=>10110010=>5 [4,1,3,5,7,8,2,6]=>[5,8,6,4,2,1,7,3]=>[2,1,1,1,2,1]=>10111101=>4 [1,2,4,7,5,3,8,6]=>[8,7,5,2,4,6,1,3]=>[1,1,1,3,2]=>11110010=>3 [6,1,5,8,4,3,2,7]=>[3,8,4,1,5,6,7,2]=>[2,1,4,1]=>10110001=>4 [7,2,1,6,8,3,5,4]=>[2,7,8,3,1,6,4,5]=>[3,1,2,2]=>10011010=>5 [5,1,4,3,7,8,2,6]=>[4,8,5,6,2,1,7,3]=>[2,2,1,2,1]=>10101101=>6 [6,1,3,7,2,4,8,5]=>[3,8,6,2,7,5,1,4]=>[2,1,2,1,2]=>10110110=>5 [5,6,4,1,8,3,2,7]=>[4,3,5,8,1,6,7,2]=>[1,3,3,1]=>11001001=>4 [4,5,2,1,7,8,3,6]=>[5,4,7,8,2,1,6,3]=>[1,3,1,2,1]=>11001101=>4 [7,2,5,6,3,4,1,8]=>[2,7,4,3,6,5,8,1]=>[2,1,2,2,1]=>10110101=>6 [2,3,7,8,5,1,6,4]=>[7,6,2,1,4,8,3,5]=>[1,1,1,3,2]=>11110010=>3 [6,2,8,5,7,4,3,1]=>[3,7,1,4,2,5,6,8]=>[2,2,4]=>10101000=>5 [4,1,7,6,2,3,8,5]=>[5,8,2,3,7,6,1,4]=>[2,3,1,2]=>10100110=>5 [1,2,6,7,4,3,5,8]=>[8,7,3,2,5,6,4,1]=>[1,1,1,3,1,1]=>11110011=>2 [3,6,7,4,5,1,8,2]=>[6,3,2,5,4,8,1,7]=>[1,1,2,2,2]=>11101010=>5 [5,8,6,3,4,1,2,7]=>[4,1,3,6,5,8,7,2]=>[1,3,2,1,1]=>11001011=>4 [9,8,2,1,3,4,5,6,7]=>[1,2,8,9,7,6,5,4,3]=>[4,1,1,1,1,1]=>100011111=>2 [6,2,3,1,8,5,4,7]=>[3,7,6,8,1,4,5,2]=>[2,2,3,1]=>10101001=>6 [5,1,2,6,4,8,3,7]=>[4,8,7,3,5,1,6,2]=>[2,1,2,2,1]=>10110101=>6 [8,6,2,3,7,5,1,4]=>[1,3,7,6,2,4,8,5]=>[3,1,3,1]=>10011001=>4 [8,7,9,1,2,3,4,5,6]=>[2,3,1,9,8,7,6,5,4]=>[2,2,1,1,1,1,1]=>101011111=>4 [4,5,2,8,6,1,3,7]=>[5,4,7,1,3,8,6,2]=>[1,2,3,1,1]=>11010011=>4 [3,4,8,2,5,6,1,7]=>[6,5,1,7,4,3,8,2]=>[1,1,2,1,2,1]=>11101101=>4 [8,5,6,3,7,1,4,2]=>[1,4,3,6,2,8,5,7]=>[2,2,2,2]=>10101010=>7 [2,8,3,6,7,4,5,1]=>[7,1,6,3,2,5,4,8]=>[1,2,1,2,2]=>11011010=>5 [2,5,7,8,3,4,6,1]=>[7,4,2,1,6,5,3,8]=>[1,1,1,2,1,2]=>11110110=>3 [8,1,3,6,5,4,7,2]=>[1,8,6,3,4,5,2,7]=>[2,1,3,2]=>10110010=>5 [8,1,3,2,5,7,4,6]=>[1,8,6,7,4,2,5,3]=>[2,2,1,2,1]=>10101101=>6 [6,3,7,8,5,1,4,2]=>[3,6,2,1,4,8,5,7]=>[2,1,3,2]=>10110010=>5 [6,8,2,7,5,3,1,4]=>[3,1,7,2,4,6,8,5]=>[1,2,4,1]=>11010001=>4 [6,3,2,5,8,4,1,7]=>[3,6,7,4,1,5,8,2]=>[3,1,3,1]=>10011001=>4 [5,6,7,2,8,4,1,3]=>[4,3,2,7,1,5,8,6]=>[1,1,2,3,1]=>11101001=>4 [3,4,1,7,6,2,8,5]=>[6,5,8,2,3,7,1,4]=>[1,2,3,2]=>11010010=>5 [6,8,7,1,3,5,2,4]=>[3,1,2,8,6,4,7,5]=>[1,3,1,2,1]=>11001101=>4 [5,8,3,6,4,1,7,2]=>[4,1,6,3,5,8,2,7]=>[1,2,3,2]=>11010010=>5 [7,5,4,6,1,3,8,2]=>[2,4,5,3,8,6,1,7]=>[3,2,1,2]=>10010110=>5 [4,3,8,5,2,7,1,6]=>[5,6,1,4,7,2,8,3]=>[2,3,2,1]=>10100101=>6 [5,6,8,2,4,3,1,7]=>[4,3,1,7,5,6,8,2]=>[1,1,2,3,1]=>11101001=>4 [7,5,8,3,2,1,4,6]=>[2,4,1,6,7,8,5,3]=>[2,4,1,1]=>10100011=>4 [3,6,4,5,7,2,1,8]=>[6,3,5,4,2,7,8,1]=>[1,2,1,3,1]=>11011001=>4 [3,6,7,4,5,2,1,8]=>[6,3,2,5,4,7,8,1]=>[1,1,2,3,1]=>11101001=>4 [4,6,8,5,7,1,3,2]=>[5,3,1,4,2,8,6,7]=>[1,1,2,2,2]=>11101010=>5 [2,4,7,1,5,8,3,6]=>[7,5,2,8,4,1,6,3]=>[1,1,2,1,2,1]=>11101101=>4 [8,1,4,7,5,3,6,2]=>[1,8,5,2,4,6,3,7]=>[2,1,3,2]=>10110010=>5 [3,5,7,1,6,4,8,2]=>[6,4,2,8,3,5,1,7]=>[1,1,2,2,2]=>11101010=>5 [3,6,5,1,7,4,2,8]=>[6,3,4,8,2,5,7,1]=>[1,3,3,1]=>11001001=>4 [2,8,4,5,1,6,3,7]=>[7,1,5,4,8,3,6,2]=>[1,2,2,2,1]=>11010101=>6 [2,6,7,4,1,5,3,8]=>[7,3,2,5,8,4,6,1]=>[1,1,3,2,1]=>11100101=>4 [3,2,5,8,4,7,1,6]=>[6,7,4,1,5,2,8,3]=>[2,1,2,2,1]=>10110101=>6 [3,5,1,8,7,4,2,6]=>[6,4,8,1,2,5,7,3]=>[1,2,4,1]=>11010001=>4 [7,8,6,1,2,5,3,4]=>[2,1,3,8,7,4,6,5]=>[1,3,1,2,1]=>11001101=>4 [4,6,1,3,8,2,7,5]=>[5,3,8,6,1,7,2,4]=>[1,2,1,2,2]=>11011010=>5 [8,5,1,2,3,7,6,4]=>[1,4,8,7,6,2,3,5]=>[3,1,1,3]=>10011100=>3 [6,8,1,2,3,7,5,4]=>[3,1,8,7,6,2,4,5]=>[1,2,1,1,3]=>11011100=>3 [7,3,1,8,4,6,2,5]=>[2,6,8,1,5,3,7,4]=>[3,2,2,1]=>10010101=>6 [2,3,7,6,8,1,4,5]=>[7,6,2,3,1,8,5,4]=>[1,1,2,2,1,1]=>11101011=>4 [3,5,1,8,4,7,2,6]=>[6,4,8,1,5,2,7,3]=>[1,2,2,2,1]=>11010101=>6 [7,6,1,2,3,5,8,4]=>[2,3,8,7,6,4,1,5]=>[3,1,1,1,2]=>10011110=>3 [8,6,1,2,3,5,7,4]=>[1,3,8,7,6,4,2,5]=>[3,1,1,1,2]=>10011110=>3 [8,2,6,7,4,3,1,5]=>[1,7,3,2,5,6,8,4]=>[2,1,4,1]=>10110001=>4 [7,5,1,2,6,3,8,4]=>[2,4,8,7,3,6,1,5]=>[3,1,2,2]=>10011010=>5 [6,2,1,7,4,8,5,3]=>[3,7,8,2,5,1,4,6]=>[3,2,3]=>10010100=>5 [5,1,7,8,3,2,4,6]=>[4,8,2,1,6,7,5,3]=>[2,1,3,1,1]=>10110011=>4 [3,1,7,6,2,8,5,4]=>[6,8,2,3,7,1,4,5]=>[2,3,3]=>10100100=>5 [2,4,5,1,8,7,6,3]=>[7,5,4,8,1,2,3,6]=>[1,1,2,4]=>11101000=>3 [8,2,7,3,1,4,6,5]=>[1,7,2,6,8,5,3,4]=>[2,3,1,2]=>10100110=>5 [6,8,7,3,1,5,2,4]=>[3,1,2,6,8,4,7,5]=>[1,4,2,1]=>11000101=>4 [3,6,8,2,1,4,7,5]=>[6,3,1,7,8,5,2,4]=>[1,1,3,1,2]=>11100110=>3 [6,1,4,2,8,7,3,5]=>[3,8,5,7,1,2,6,4]=>[2,2,3,1]=>10101001=>6 [3,2,4,6,8,5,7,1]=>[6,7,5,3,1,4,2,8]=>[2,1,1,2,2]=>10111010=>5 [1,7,6,4,5,8,2,3]=>[8,2,3,5,4,1,7,6]=>[1,3,1,2,1]=>11001101=>4 [7,2,1,3,8,5,6,4]=>[2,7,8,6,1,4,3,5]=>[3,1,2,2]=>10011010=>5 [3,7,2,6,8,4,5,1]=>[6,2,7,3,1,5,4,8]=>[1,2,1,2,2]=>11011010=>5 [6,2,4,5,7,8,3,1]=>[3,7,5,4,2,1,6,8]=>[2,1,1,1,3]=>10111100=>3 [4,6,5,2,7,8,3,1]=>[5,3,4,7,2,1,6,8]=>[1,3,1,3]=>11001100=>3 [5,4,6,2,7,8,3,1]=>[4,5,3,7,2,1,6,8]=>[2,2,1,3]=>10101100=>5 [1,3,8,7,2,6,4,5]=>[8,6,1,2,7,3,5,4]=>[1,1,3,2,1]=>11100101=>4 [5,1,8,6,4,2,7,3]=>[4,8,1,3,5,7,2,6]=>[2,4,2]=>10100010=>5 [3,7,1,8,2,4,6,5]=>[6,2,8,1,7,5,3,4]=>[1,2,2,1,2]=>11010110=>5 [2,5,8,1,4,6,3,7]=>[7,4,1,8,5,3,6,2]=>[1,1,2,1,2,1]=>11101101=>4 [7,2,8,3,1,5,6,4]=>[2,7,1,6,8,4,3,5]=>[2,3,1,2]=>10100110=>5 [5,4,7,2,3,8,6,1]=>[4,5,2,7,6,1,3,8]=>[2,2,1,3]=>10101100=>5 [5,4,6,2,3,1,8,7]=>[4,5,3,7,6,8,1,2]=>[2,2,2,2]=>10101010=>7 [6,5,7,8,1,3,4,2]=>[3,4,2,1,8,6,5,7]=>[2,1,2,1,2]=>10110110=>5 [2,1,7,6,8,4,5,3]=>[7,8,2,3,1,5,4,6]=>[2,2,2,2]=>10101010=>7 [6,5,7,8,1,3,2,4]=>[3,4,2,1,8,6,7,5]=>[2,1,2,2,1]=>10110101=>6 [6,4,7,2,8,3,1,5]=>[3,5,2,7,1,6,8,4]=>[2,2,3,1]=>10101001=>6 [6,3,2,7,8,4,5,1]=>[3,6,7,2,1,5,4,8]=>[3,1,2,2]=>10011010=>5 [1,4,8,2,7,6,5,3]=>[8,5,1,7,2,3,4,6]=>[1,1,2,4]=>11101000=>3 [1,2,3,7,8,9,4,5,6]=>[9,8,7,3,2,1,6,5,4]=>[1,1,1,1,1,2,1,1]=>111111011=>2 [5,6,7,9,1,2,3,8,4]=>[5,4,3,1,9,8,7,2,6]=>[1,1,1,2,1,1,2]=>111101110=>3 [1,8,9,6,7,4,5,2,3]=>[9,2,1,4,3,6,5,8,7]=>[1,1,2,2,2,1]=>111010101=>6 [5,9,3,8,1,7,6,4,2]=>[5,1,7,2,9,3,4,6,8]=>[1,2,2,4]=>110101000=>5 [3,9,1,8,7,6,5,4,2]=>[7,1,9,2,3,4,5,6,8]=>[1,2,6]=>110100000=>3 [4,7,3,1,5,2,8,6]=>[5,2,6,8,4,7,1,3]=>[1,3,2,2]=>11001010=>5 [4,6,3,1,7,5,8,2]=>[5,3,6,8,2,4,1,7]=>[1,3,2,2]=>11001010=>5 [5,7,4,3,1,2,8,6]=>[4,2,5,6,8,7,1,3]=>[1,4,1,2]=>11000110=>3 [4,7,3,6,5,2,8,1]=>[5,2,6,3,4,7,1,8]=>[1,2,3,2]=>11010010=>5 [4,7,6,3,1,5,8,2]=>[5,2,3,6,8,4,1,7]=>[1,4,1,2]=>11000110=>3 [2,4,7,3,8,5,1,6]=>[7,5,2,6,1,4,8,3]=>[1,1,2,3,1]=>11101001=>4 [2,5,3,1,7,4,8,6]=>[7,4,6,8,2,5,1,3]=>[1,3,2,2]=>11001010=>5 [2,4,3,1,7,5,8,6]=>[7,5,6,8,2,4,1,3]=>[1,3,2,2]=>11001010=>5 [2,7,3,8,6,5,1,4]=>[7,2,6,1,3,4,8,5]=>[1,2,4,1]=>11010001=>4 [2,8,3,1,7,4,5,6]=>[7,1,6,8,2,5,4,3]=>[1,3,2,1,1]=>11001011=>4 [6,7,5,2,1,4,8,3]=>[3,2,4,7,8,5,1,6]=>[1,4,1,2]=>11000110=>3 [7,8,6,2,1,5,3,4]=>[2,1,3,7,8,4,6,5]=>[1,4,2,1]=>11000101=>4 [7,8,6,3,2,5,1,4]=>[2,1,3,6,7,4,8,5]=>[1,4,2,1]=>11000101=>4 [7,1,6,3,8,4,2,5]=>[2,8,3,6,1,5,7,4]=>[2,2,3,1]=>10101001=>6 [5,8,4,2,6,1,7,3]=>[4,1,5,7,3,8,2,6]=>[1,3,2,2]=>11001010=>5 [6,7,4,8,5,3,1,2]=>[3,2,5,1,4,6,8,7]=>[1,2,4,1]=>11010001=>4 [7,8,6,3,5,2,1,4]=>[2,1,3,6,4,7,8,5]=>[1,3,3,1]=>11001001=>4 [7,6,8,9,1,2,3,4,5]=>[3,4,2,1,9,8,7,6,5]=>[2,1,2,1,1,1,1]=>101101111=>4 [5,4,6,7,8,9,1,2,3]=>[5,6,4,3,2,1,9,8,7]=>[2,1,1,1,2,1,1]=>101111011=>4 [1,6,2,5,7,8,3,4]=>[8,3,7,4,2,1,6,5]=>[1,2,1,1,2,1]=>11011101=>4 [1,7,8,2,5,4,6,3]=>[8,2,1,7,4,5,3,6]=>[1,1,2,2,2]=>11101010=>5 [1,2,6,8,3,4,7,5]=>[8,7,3,1,6,5,2,4]=>[1,1,1,2,1,2]=>11110110=>3 [1,6,2,5,3,7,8,4]=>[8,3,7,4,6,2,1,5]=>[1,2,2,1,2]=>11010110=>5 [1,8,2,6,7,3,5,4]=>[8,1,7,3,2,6,4,5]=>[1,2,1,2,2]=>11011010=>5 [1,3,6,8,4,7,2,5]=>[8,6,3,1,5,2,7,4]=>[1,1,1,2,2,1]=>11110101=>4 [1,5,6,8,3,2,4,7]=>[8,4,3,1,6,7,5,2]=>[1,1,1,3,1,1]=>11110011=>2 [1,8,2,7,3,5,6,4]=>[8,1,7,2,6,4,3,5]=>[1,2,2,1,2]=>11010110=>5 [1,8,3,2,7,4,6,5]=>[8,1,6,7,2,5,3,4]=>[1,3,2,2]=>11001010=>5 [1,2,8,5,3,4,7,6]=>[8,7,1,4,6,5,2,3]=>[1,1,3,1,2]=>11100110=>3 [1,3,6,5,4,8,2,7]=>[8,6,3,4,5,1,7,2]=>[1,1,3,2,1]=>11100101=>4 [1,7,2,3,8,4,6,5]=>[8,2,7,6,1,5,3,4]=>[1,2,1,2,2]=>11011010=>5 [1,5,4,7,2,8,3,6]=>[8,4,5,2,7,1,6,3]=>[1,2,2,2,1]=>11010101=>6 [8,4,5,6,2,7,1,3]=>[1,5,4,3,7,2,8,6]=>[2,1,2,2,1]=>10110101=>6 [4,6,7,1,5,2,8,3]=>[5,3,2,8,4,7,1,6]=>[1,1,2,2,2]=>11101010=>5 [3,7,5,2,6,1,8,4]=>[6,2,4,7,3,8,1,5]=>[1,3,2,2]=>11001010=>5 [3,8,5,2,6,1,7,4]=>[6,1,4,7,3,8,2,5]=>[1,3,2,2]=>11001010=>5 [3,7,4,8,5,2,6,1]=>[6,2,5,1,4,7,3,8]=>[1,2,3,2]=>11010010=>5 [3,6,1,5,2,8,7,4]=>[6,3,8,4,7,1,2,5]=>[1,2,2,3]=>11010100=>5 [8,1,2,6,5,3,4,7]=>[1,8,7,3,4,6,5,2]=>[2,1,3,1,1]=>10110011=>4 [3,7,4,2,5,6,1,8]=>[6,2,5,7,4,3,8,1]=>[1,3,1,2,1]=>11001101=>4 [6,7,1,3,4,2,5,8]=>[3,2,8,6,5,7,4,1]=>[1,2,1,2,1,1]=>11011011=>4 [6,8,7,1,3,4,2,5]=>[3,1,2,8,6,5,7,4]=>[1,3,1,2,1]=>11001101=>4 [3,4,2,8,6,7,5,1]=>[6,5,7,1,3,2,4,8]=>[1,2,2,3]=>11010100=>5 [3,7,8,6,1,4,2,5]=>[6,2,1,3,8,5,7,4]=>[1,1,3,2,1]=>11100101=>4 [3,6,1,5,2,7,8,4]=>[6,3,8,4,7,2,1,5]=>[1,2,2,1,2]=>11010110=>5 [3,8,4,2,5,7,6,1]=>[6,1,5,7,4,2,3,8]=>[1,3,1,3]=>11001100=>3 [7,1,6,8,3,4,2,5]=>[2,8,3,1,6,5,7,4]=>[2,1,2,2,1]=>10110101=>6 [8,1,2,6,3,5,7,4]=>[1,8,7,3,6,4,2,5]=>[2,1,2,1,2]=>10110110=>5 [7,4,8,1,2,6,3,5]=>[2,5,1,8,7,3,6,4]=>[2,2,1,2,1]=>10101101=>6 [6,2,8,4,7,1,3,5]=>[3,7,1,5,2,8,6,4]=>[2,2,2,1,1]=>10101011=>6 [8,3,4,2,5,7,1,6]=>[1,6,5,7,4,2,8,3]=>[2,2,1,2,1]=>10101101=>6 [3,7,8,4,2,5,6,1]=>[6,2,1,5,7,4,3,8]=>[1,1,3,1,2]=>11100110=>3 [3,8,4,2,5,6,1,7]=>[6,1,5,7,4,3,8,2]=>[1,3,1,2,1]=>11001101=>4 [3,6,1,5,2,8,4,7]=>[6,3,8,4,7,1,5,2]=>[1,2,2,2,1]=>11010101=>6 [7,1,3,4,8,5,2,6]=>[2,8,6,5,1,4,7,3]=>[2,1,1,3,1]=>10111001=>4 [7,1,3,4,2,5,8,6]=>[2,8,6,5,7,4,1,3]=>[2,1,2,1,2]=>10110110=>5 [3,4,2,6,8,5,1,7]=>[6,5,7,3,1,4,8,2]=>[1,2,1,3,1]=>11011001=>4 [8,7,1,3,4,2,5,6]=>[1,2,8,6,5,7,4,3]=>[3,1,2,1,1]=>10011011=>4 [7,1,3,4,2,5,6,8]=>[2,8,6,5,7,4,3,1]=>[2,1,2,1,1,1]=>10110111=>4 [3,6,1,4,2,5,7,8]=>[6,3,8,5,7,4,2,1]=>[1,2,2,1,1,1]=>11010111=>4 [1,4,3,2,5,6,7,8,9]=>[9,6,7,8,5,4,3,2,1]=>[1,3,1,1,1,1,1]=>110011111=>2 [6,8,2,7,5,4,1,3]=>[3,1,7,2,4,5,8,6]=>[1,2,4,1]=>11010001=>4 [1,8,4,3,7,6,2,5]=>[8,1,5,6,2,3,7,4]=>[1,3,3,1]=>11001001=>4 [4,3,8,7,1,2,6,5]=>[5,6,1,2,8,7,3,4]=>[2,3,1,2]=>10100110=>5 [1,8,4,5,7,6,2,3]=>[8,1,5,4,2,3,7,6]=>[1,2,1,3,1]=>11011001=>4 [4,3,8,5,7,1,6,2]=>[5,6,1,4,2,8,3,7]=>[2,2,2,2]=>10101010=>7 [5,3,8,4,7,1,6,2]=>[4,6,1,5,2,8,3,7]=>[2,2,2,2]=>10101010=>7 [5,2,8,7,1,4,6,3]=>[4,7,1,2,8,5,3,6]=>[2,3,1,2]=>10100110=>5 [3,2,8,7,1,6,4,5]=>[6,7,1,2,8,3,5,4]=>[2,3,2,1]=>10100101=>6 [2,7,8,3,1,6,4,5]=>[7,2,1,6,8,3,5,4]=>[1,1,3,2,1]=>11100101=>4 [2,7,8,5,1,4,6,3]=>[7,2,1,4,8,5,3,6]=>[1,1,3,1,2]=>11100110=>3 [3,5,8,7,4,1,6,2]=>[6,4,1,2,5,8,3,7]=>[1,1,4,2]=>11100010=>3 [7,4,6,8,3,5,1,2]=>[2,5,3,1,6,4,8,7]=>[2,1,2,2,1]=>10110101=>6 [2,7,8,1,3,6,4,5]=>[7,2,1,8,6,3,5,4]=>[1,1,2,1,2,1]=>11101101=>4 [2,7,8,1,5,4,6,3]=>[7,2,1,8,4,5,3,6]=>[1,1,2,2,2]=>11101010=>5 [2,7,8,1,4,5,6,3]=>[7,2,1,8,5,4,3,6]=>[1,1,2,1,1,2]=>11101110=>3 [4,5,7,8,6,3,1,2]=>[5,4,2,1,3,6,8,7]=>[1,1,1,4,1]=>11110001=>2 [5,4,6,8,7,3,1,2]=>[4,5,3,1,2,6,8,7]=>[2,1,4,1]=>10110001=>4 [4,5,8,6,7,1,3,2]=>[5,4,1,3,2,8,6,7]=>[1,1,2,2,2]=>11101010=>5 [5,7,6,8,2,1,3,4]=>[4,2,3,1,7,8,6,5]=>[1,2,3,1,1]=>11010011=>4 [3,7,6,8,2,4,1,5]=>[6,2,3,1,7,5,8,4]=>[1,2,2,2,1]=>11010101=>6 [5,4,7,8,6,3,1,2]=>[4,5,2,1,3,6,8,7]=>[2,1,4,1]=>10110001=>4 [4,5,7,8,2,6,1,3]=>[5,4,2,1,7,3,8,6]=>[1,1,1,2,2,1]=>11110101=>4 [8,1,7,5,4,3,6,2]=>[1,8,2,4,5,6,3,7]=>[2,4,2]=>10100010=>5 [6,1,3,4,8,5,7,2]=>[3,8,6,5,1,4,2,7]=>[2,1,1,2,2]=>10111010=>5 [5,7,3,4,2,1,6,8]=>[4,2,6,5,7,8,3,1]=>[1,2,3,1,1]=>11010011=>4 [6,1,5,3,8,4,7,2]=>[3,8,4,6,1,5,2,7]=>[2,2,2,2]=>10101010=>7 [4,1,8,6,7,2,5,3]=>[5,8,1,3,2,7,4,6]=>[2,2,2,2]=>10101010=>7 [1,2,8,3,6,7,5,4]=>[8,7,1,6,3,2,4,5]=>[1,1,2,1,3]=>11101100=>3 [8,3,6,1,2,5,4,7]=>[1,6,3,8,7,4,5,2]=>[2,2,1,2,1]=>10101101=>6 [4,1,7,2,8,6,3,5]=>[5,8,2,7,1,3,6,4]=>[2,2,3,1]=>10101001=>6 [7,4,1,8,2,3,6,5]=>[2,5,8,1,7,6,3,4]=>[3,2,1,2]=>10010110=>5 [1,4,6,7,8,2,5,3]=>[8,5,3,2,1,7,4,6]=>[1,1,1,1,2,2]=>11111010=>3 [3,7,1,6,2,4,5,8]=>[6,2,8,3,7,5,4,1]=>[1,2,2,1,1,1]=>11010111=>4 [7,1,3,4,8,6,2,5]=>[2,8,6,5,1,3,7,4]=>[2,1,1,3,1]=>10111001=>4 [1,8,6,2,5,4,7,3]=>[8,1,3,7,4,5,2,6]=>[1,3,2,2]=>11001010=>5 [8,3,1,2,5,6,4,7]=>[1,6,8,7,4,3,5,2]=>[3,1,1,2,1]=>10011101=>4 [5,3,4,1,6,7,2,8]=>[4,6,5,8,3,2,7,1]=>[2,2,1,2,1]=>10101101=>6 [5,2,1,6,4,3,8,7]=>[4,7,8,3,5,6,1,2]=>[3,3,2]=>10010010=>5 [5,2,8,3,4,7,1,6]=>[4,7,1,6,5,2,8,3]=>[2,2,1,2,1]=>10101101=>6 [3,8,4,1,7,5,2,6]=>[6,1,5,8,2,4,7,3]=>[1,3,3,1]=>11001001=>4 [4,7,6,5,1,2,3,8]=>[5,2,3,4,8,7,6,1]=>[1,4,1,1,1]=>11000111=>2 [6,2,7,4,8,3,1,5]=>[3,7,2,5,1,6,8,4]=>[2,2,3,1]=>10101001=>6 [6,4,5,2,8,1,3,7]=>[3,5,4,7,1,8,6,2]=>[2,2,2,1,1]=>10101011=>6 [2,8,5,1,4,3,7,6]=>[7,1,4,8,5,6,2,3]=>[1,3,2,2]=>11001010=>5 [4,8,6,5,2,1,7,3]=>[5,1,3,4,7,8,2,6]=>[1,5,2]=>11000010=>3 [5,6,4,8,7,2,3,1]=>[4,3,5,1,2,7,6,8]=>[1,2,3,2]=>11010010=>5 [1,6,8,2,5,7,3,4]=>[8,3,1,7,4,2,6,5]=>[1,1,2,1,2,1]=>11101101=>4 [1,5,4,2,7,6,8,3]=>[8,4,5,7,2,3,1,6]=>[1,3,2,2]=>11001010=>5 [8,5,2,3,7,6,1,4]=>[1,4,7,6,2,3,8,5]=>[3,1,3,1]=>10011001=>4 [6,8,2,7,5,1,4,3]=>[3,1,7,2,4,8,5,6]=>[1,2,3,2]=>11010010=>5 [8,3,4,5,6,1,7,2]=>[1,6,5,4,3,8,2,7]=>[2,1,1,2,2]=>10111010=>5 [4,2,6,5,7,3,1,8]=>[5,7,3,4,2,6,8,1]=>[2,2,3,1]=>10101001=>6 [3,2,6,5,8,4,1,7]=>[6,7,3,4,1,5,8,2]=>[2,2,3,1]=>10101001=>6 [3,2,6,5,8,7,1,4]=>[6,7,3,4,1,2,8,5]=>[2,2,3,1]=>10101001=>6 [4,2,6,5,8,7,1,3]=>[5,7,3,4,1,2,8,6]=>[2,2,3,1]=>10101001=>6 [5,2,6,4,8,7,1,3]=>[4,7,3,5,1,2,8,6]=>[2,2,3,1]=>10101001=>6 [5,4,7,6,8,2,1,3]=>[4,5,2,3,1,7,8,6]=>[2,2,3,1]=>10101001=>6 [4,2,7,5,8,6,1,3]=>[5,7,2,4,1,3,8,6]=>[2,2,3,1]=>10101001=>6 [3,2,7,5,8,4,1,6]=>[6,7,2,4,1,5,8,3]=>[2,2,3,1]=>10101001=>6 [4,3,7,2,8,5,1,6]=>[5,6,2,7,1,4,8,3]=>[2,2,3,1]=>10101001=>6 [4,3,6,2,8,5,1,7]=>[5,6,3,7,1,4,8,2]=>[2,2,3,1]=>10101001=>6 [4,3,7,6,8,5,1,2]=>[5,6,2,3,1,4,8,7]=>[2,2,3,1]=>10101001=>6 [5,3,7,6,8,2,1,4]=>[4,6,2,3,1,7,8,5]=>[2,2,3,1]=>10101001=>6 [5,3,7,2,8,6,1,4]=>[4,6,2,7,1,3,8,5]=>[2,2,3,1]=>10101001=>6 [3,2,6,4,8,7,1,5]=>[6,7,3,5,1,2,8,4]=>[2,2,3,1]=>10101001=>6 [4,2,7,3,8,6,1,5]=>[5,7,2,6,1,3,8,4]=>[2,2,3,1]=>10101001=>6 [5,2,7,6,8,3,1,4]=>[4,7,2,3,1,6,8,5]=>[2,2,3,1]=>10101001=>6 [3,2,7,6,8,4,1,5]=>[6,7,2,3,1,5,8,4]=>[2,2,3,1]=>10101001=>6 [3,2,7,6,8,5,1,4]=>[6,7,2,3,1,4,8,5]=>[2,2,3,1]=>10101001=>6 [6,2,7,5,8,4,1,3]=>[3,7,2,4,1,5,8,6]=>[2,2,3,1]=>10101001=>6 [4,8,1,7,3,2,5,6]=>[5,1,8,2,6,7,4,3]=>[1,2,3,1,1]=>11010011=>4 [3,7,4,8,2,1,5,6]=>[6,2,5,1,7,8,4,3]=>[1,2,3,1,1]=>11010011=>4 [3,7,8,2,5,4,6,1]=>[6,2,1,7,4,5,3,8]=>[1,1,2,2,2]=>11101010=>5 [4,7,5,8,3,2,6,1]=>[5,2,4,1,6,7,3,8]=>[1,2,3,2]=>11010010=>5 [6,7,1,3,2,5,8,4]=>[3,2,8,6,7,4,1,5]=>[1,2,2,1,2]=>11010110=>5 [8,7,6,4,1,5,3,2]=>[1,2,3,5,8,4,6,7]=>[5,3]=>10000100=>3 [7,2,5,3,4,8,1,6]=>[2,7,4,6,5,1,8,3]=>[2,2,1,2,1]=>10101101=>6 [7,4,8,3,5,1,6,2]=>[2,5,1,6,4,8,3,7]=>[2,2,2,2]=>10101010=>7 [5,4,6,8,7,1,2,3]=>[4,5,3,1,2,8,7,6]=>[2,1,3,1,1]=>10110011=>4 [5,3,6,2,4,1,8,7]=>[4,6,3,7,5,8,1,2]=>[2,2,2,2]=>10101010=>7 [7,8,6,2,3,5,4,1]=>[2,1,3,7,6,4,5,8]=>[1,3,1,3]=>11001100=>3 [5,8,2,6,3,7,4,1]=>[4,1,7,3,6,2,5,8]=>[1,2,2,3]=>11010100=>5 [4,8,2,3,7,5,6,1]=>[5,1,7,6,2,4,3,8]=>[1,2,1,2,2]=>11011010=>5 [3,8,5,7,6,4,2,1]=>[6,1,4,2,3,5,7,8]=>[1,2,5]=>11010000=>3 [7,8,6,3,5,4,2,1]=>[2,1,3,6,4,5,7,8]=>[1,3,4]=>11001000=>3 [6,2,7,5,3,8,4,1]=>[3,7,2,4,6,1,5,8]=>[2,3,3]=>10100100=>5 [2,4,8,3,7,5,6,1]=>[7,5,1,6,2,4,3,8]=>[1,1,2,2,2]=>11101010=>5 [4,8,3,7,5,6,2,1]=>[5,1,6,2,4,3,7,8]=>[1,2,2,3]=>11010100=>5 [6,2,5,8,3,7,4,1]=>[3,7,4,1,6,2,5,8]=>[2,1,2,3]=>10110100=>5 [4,7,3,8,2,5,6,1]=>[5,2,6,1,7,4,3,8]=>[1,2,2,1,2]=>11010110=>5 [8,2,5,6,3,7,4,1]=>[1,7,4,3,6,2,5,8]=>[2,1,2,3]=>10110100=>5 [4,5,3,7,1,2,6,8]=>[5,4,6,2,8,7,3,1]=>[1,2,2,1,1,1]=>11010111=>4 [6,4,7,3,1,2,5,8]=>[3,5,2,6,8,7,4,1]=>[2,3,1,1,1]=>10100111=>4 [6,8,4,1,3,5,2,7]=>[3,1,5,8,6,4,7,2]=>[1,3,1,2,1]=>11001101=>4 [8,5,3,6,1,4,2,7]=>[1,4,6,3,8,5,7,2]=>[3,2,2,1]=>10010101=>6 [5,2,6,7,4,1,3,8]=>[4,7,3,2,5,8,6,1]=>[2,1,3,1,1]=>10110011=>4 [5,6,2,7,4,1,3,8]=>[4,3,7,2,5,8,6,1]=>[1,2,3,1,1]=>11010011=>4 [8,5,6,4,1,3,2,7]=>[1,4,3,5,8,6,7,2]=>[2,3,2,1]=>10100101=>6 [7,8,5,1,4,3,2,6]=>[2,1,4,8,5,6,7,3]=>[1,3,3,1]=>11001001=>4 [6,7,2,8,4,3,1,5]=>[3,2,7,1,5,6,8,4]=>[1,2,4,1]=>11010001=>4 [8,5,3,6,2,1,4,7]=>[1,4,6,3,7,8,5,2]=>[3,3,1,1]=>10010011=>4 [4,7,8,3,1,5,2,6]=>[5,2,1,6,8,4,7,3]=>[1,1,3,2,1]=>11100101=>4 [4,5,8,1,3,2,6,7]=>[5,4,1,8,6,7,3,2]=>[1,1,2,2,1,1]=>11101011=>4 [4,7,8,1,6,3,2,5]=>[5,2,1,8,3,6,7,4]=>[1,1,2,3,1]=>11101001=>4 [5,7,8,1,2,6,4,3]=>[4,2,1,8,7,3,5,6]=>[1,1,2,1,3]=>11101100=>3 [6,5,4,7,2,8,1,3]=>[3,4,5,2,7,1,8,6]=>[3,2,2,1]=>10010101=>6 [4,7,1,3,8,6,5,2]=>[5,2,8,6,1,3,4,7]=>[1,2,1,4]=>11011000=>3 [2,6,7,4,3,8,1,5]=>[7,3,2,5,6,1,8,4]=>[1,1,3,2,1]=>11100101=>4 [3,7,6,4,5,8,1,2]=>[6,2,3,5,4,1,8,7]=>[1,3,1,2,1]=>11001101=>4 [3,7,6,5,4,8,1,2]=>[6,2,3,4,5,1,8,7]=>[1,4,2,1]=>11000101=>4 [5,7,2,8,3,4,6,1]=>[4,2,7,1,6,5,3,8]=>[1,2,2,1,2]=>11010110=>5 [3,7,2,8,5,6,4,1]=>[6,2,7,1,4,3,5,8]=>[1,2,2,3]=>11010100=>5 [3,1,5,8,4,7,6,2]=>[6,8,4,1,5,2,3,7]=>[2,1,2,3]=>10110100=>5 [1,5,6,8,4,3,7,2]=>[8,4,3,1,5,6,2,7]=>[1,1,1,3,2]=>11110010=>3 [3,1,5,8,6,4,7,2]=>[6,8,4,1,3,5,2,7]=>[2,1,3,2]=>10110010=>5 [4,7,2,8,5,3,6,1]=>[5,2,7,1,4,6,3,8]=>[1,2,3,2]=>11010010=>5 [2,3,8,6,4,5,7,1]=>[7,6,1,3,5,4,2,8]=>[1,1,3,1,2]=>11100110=>3 [2,3,8,6,4,7,5,1]=>[7,6,1,3,5,2,4,8]=>[1,1,3,3]=>11100100=>3 [2,5,6,1,8,7,3,4]=>[7,4,3,8,1,2,6,5]=>[1,1,2,3,1]=>11101001=>4 [3,6,2,8,4,7,5,1]=>[6,3,7,1,5,2,4,8]=>[1,2,2,3]=>11010100=>5 [2,3,8,6,7,4,5,1]=>[7,6,1,3,2,5,4,8]=>[1,1,2,2,2]=>11101010=>5 [2,3,8,5,7,4,6,1]=>[7,6,1,4,2,5,3,8]=>[1,1,2,2,2]=>11101010=>5 [3,5,2,8,7,4,6,1]=>[6,4,7,1,2,5,3,8]=>[1,2,3,2]=>11010010=>5 [1,5,6,8,7,3,4,2]=>[8,4,3,1,2,6,5,7]=>[1,1,1,3,2]=>11110010=>3 [2,3,8,7,6,4,5,1]=>[7,6,1,2,3,5,4,8]=>[1,1,4,2]=>11100010=>3 [8,5,6,3,1,4,2,7]=>[1,4,3,6,8,5,7,2]=>[2,3,2,1]=>10100101=>6 [8,5,6,1,3,4,2,7]=>[1,4,3,8,6,5,7,2]=>[2,2,1,2,1]=>10101101=>6 [8,1,5,6,3,4,2,7]=>[1,8,4,3,6,5,7,2]=>[2,1,2,2,1]=>10110101=>6 [8,1,5,3,6,4,2,7]=>[1,8,4,6,3,5,7,2]=>[2,2,3,1]=>10101001=>6 [8,3,5,6,4,1,2,7]=>[1,6,4,3,5,8,7,2]=>[2,1,3,1,1]=>10110011=>4 [1,3,8,5,6,2,4,7]=>[8,6,1,4,3,7,5,2]=>[1,1,2,2,1,1]=>11101011=>4 [3,8,5,6,1,4,2,7]=>[6,1,4,3,8,5,7,2]=>[1,2,2,2,1]=>11010101=>6 [3,8,5,6,4,1,2,7]=>[6,1,4,3,5,8,7,2]=>[1,2,3,1,1]=>11010011=>4 [5,7,8,3,4,6,2,1]=>[4,2,1,6,5,3,7,8]=>[1,1,2,1,3]=>11101100=>3 [3,5,8,6,4,1,2,7]=>[6,4,1,3,5,8,7,2]=>[1,1,4,1,1]=>11100011=>2 [3,5,1,8,6,4,2,7]=>[6,4,8,1,3,5,7,2]=>[1,2,4,1]=>11010001=>4 [1,3,5,8,6,2,4,7]=>[8,6,4,1,3,7,5,2]=>[1,1,1,3,1,1]=>11110011=>2 [7,5,3,8,6,4,2,1]=>[2,4,6,1,3,5,7,8]=>[3,5]=>10010000=>3 [1,5,3,8,6,4,2,7]=>[8,4,6,1,3,5,7,2]=>[1,2,4,1]=>11010001=>4 [5,1,3,8,6,4,2,7]=>[4,8,6,1,3,5,7,2]=>[2,1,4,1]=>10110001=>4 [5,3,8,1,6,4,2,7]=>[4,6,1,8,3,5,7,2]=>[2,2,3,1]=>10101001=>6 [5,3,8,6,4,1,2,7]=>[4,6,1,3,5,8,7,2]=>[2,4,1,1]=>10100011=>4 [5,8,3,1,6,4,2,7]=>[4,1,6,8,3,5,7,2]=>[1,3,3,1]=>11001001=>4 [5,8,1,3,6,4,2,7]=>[4,1,8,6,3,5,7,2]=>[1,2,1,3,1]=>11011001=>4 [5,1,8,3,6,4,2,7]=>[4,8,1,6,3,5,7,2]=>[2,2,3,1]=>10101001=>6 [1,5,8,3,6,4,2,7]=>[8,4,1,6,3,5,7,2]=>[1,1,2,3,1]=>11101001=>4 [7,5,8,3,6,4,2,1]=>[2,4,1,6,3,5,7,8]=>[2,2,4]=>10101000=>5 [1,5,8,6,3,4,2,7]=>[8,4,1,3,6,5,7,2]=>[1,1,3,2,1]=>11100101=>4 [1,7,8,2,5,6,4,3]=>[8,2,1,7,4,3,5,6]=>[1,1,2,1,3]=>11101100=>3 [7,1,8,3,6,4,2,5]=>[2,8,1,6,3,5,7,4]=>[2,2,3,1]=>10101001=>6 [7,8,3,6,4,1,2,5]=>[2,1,6,3,5,8,7,4]=>[1,2,3,1,1]=>11010011=>4 [7,1,3,8,6,4,2,5]=>[2,8,6,1,3,5,7,4]=>[2,1,4,1]=>10110001=>4 [3,7,5,8,2,6,4,1]=>[6,2,4,1,7,3,5,8]=>[1,2,2,3]=>11010100=>5 [3,1,7,8,4,2,6,5]=>[6,8,2,1,5,7,3,4]=>[2,1,3,2]=>10110010=>5 [5,7,8,1,4,6,2,3]=>[4,2,1,8,5,3,7,6]=>[1,1,2,1,2,1]=>11101101=>4 [5,7,8,4,6,1,2,3]=>[4,2,1,5,3,8,7,6]=>[1,1,2,2,1,1]=>11101011=>4 [1,3,7,8,4,2,6,5]=>[8,6,2,1,5,7,3,4]=>[1,1,1,3,2]=>11110010=>3 [6,1,2,5,3,4,7,8]=>[3,8,7,4,6,5,2,1]=>[2,1,2,1,1,1]=>10110111=>4 [6,1,2,3,5,4,7,8,9]=>[4,9,8,7,5,6,3,2,1]=>[2,1,1,2,1,1,1]=>101110111=>4 [6,1,2,5,4,3,7,8]=>[3,8,7,4,5,6,2,1]=>[2,1,3,1,1]=>10110011=>4 [5,1,4,6,7,3,2,8]=>[4,8,5,3,2,6,7,1]=>[2,1,1,3,1]=>10111001=>4 [1,4,6,5,7,2,3,8]=>[8,5,3,4,2,7,6,1]=>[1,1,2,2,1,1]=>11101011=>4 [8,1,6,7,3,5,4,2]=>[1,8,3,2,6,4,5,7]=>[2,1,2,3]=>10110100=>5 [7,2,4,1,6,5,3,8]=>[2,7,5,8,3,4,6,1]=>[2,2,3,1]=>10101001=>6 [4,2,6,5,7,1,3,8]=>[5,7,3,4,2,8,6,1]=>[2,2,2,1,1]=>10101011=>6 [6,2,5,7,3,1,4,8]=>[3,7,4,2,6,8,5,1]=>[2,1,3,1,1]=>10110011=>4 [8,2,5,6,3,4,7,1]=>[1,7,4,3,6,5,2,8]=>[2,1,2,1,2]=>10110110=>5 [8,2,5,4,1,6,7,3]=>[1,7,4,5,8,3,2,6]=>[2,3,1,2]=>10100110=>5 [2,8,5,1,3,6,7,4]=>[7,1,4,8,6,3,2,5]=>[1,3,1,1,2]=>11001110=>3 [8,7,4,3,5,1,6,2]=>[1,2,5,6,4,8,3,7]=>[4,2,2]=>10001010=>5 [8,7,3,5,2,6,4,1]=>[1,2,6,4,7,3,5,8]=>[3,2,3]=>10010100=>5 [3,8,5,6,1,2,7,4]=>[6,1,4,3,8,7,2,5]=>[1,2,2,1,2]=>11010110=>5 [8,1,7,5,4,2,6,3]=>[1,8,2,4,5,7,3,6]=>[2,4,2]=>10100010=>5 [1,2,6,4,7,3,5,8]=>[8,7,3,5,2,6,4,1]=>[1,1,2,2,1,1]=>11101011=>4 [5,7,8,3,2,6,1,4]=>[4,2,1,6,7,3,8,5]=>[1,1,3,2,1]=>11100101=>4 [2,3,4,5,6,9,8,7,1]=>[8,7,6,5,4,1,2,3,9]=>[1,1,1,1,1,4]=>111111000=>1 [2,3,4,5,8,7,9,6,1]=>[8,7,6,5,2,3,1,4,9]=>[1,1,1,1,2,3]=>111110100=>3 [2,3,6,5,7,8,9,4,1]=>[8,7,4,5,3,2,1,6,9]=>[1,1,2,1,1,3]=>111011100=>3 [4,3,5,6,7,8,9,2,1]=>[6,7,5,4,3,2,1,8,9]=>[2,1,1,1,1,3]=>101111100=>3 [6,8,4,3,7,2,5,1]=>[3,1,5,6,2,7,4,8]=>[1,3,2,2]=>11001010=>5 [6,7,4,3,8,2,1,5]=>[3,2,5,6,1,7,8,4]=>[1,3,3,1]=>11001001=>4 [7,4,5,1,3,8,2,6]=>[2,5,4,8,6,1,7,3]=>[2,2,1,2,1]=>10101101=>6 [8,4,5,1,3,7,6,2]=>[1,5,4,8,6,2,3,7]=>[2,2,1,3]=>10101100=>5 [8,6,4,3,7,1,5,2]=>[1,3,5,6,2,8,4,7]=>[4,2,2]=>10001010=>5 [8,6,5,7,3,1,4,2]=>[1,3,4,2,6,8,5,7]=>[3,3,2]=>10010010=>5 [8,5,6,7,1,3,4,2]=>[1,4,3,2,8,6,5,7]=>[2,1,2,1,2]=>10110110=>5 [8,3,1,6,7,4,5,2]=>[1,6,8,3,2,5,4,7]=>[3,1,2,2]=>10011010=>5 [7,5,6,8,1,3,2,4]=>[2,4,3,1,8,6,7,5]=>[2,1,2,2,1]=>10110101=>6 [6,8,5,7,3,2,4,1]=>[3,1,4,2,6,7,5,8]=>[1,2,3,2]=>11010010=>5 [4,7,8,2,6,5,1,3]=>[5,2,1,7,3,4,8,6]=>[1,1,2,3,1]=>11101001=>4 [6,8,7,5,4,2,3,1]=>[3,1,2,4,5,7,6,8]=>[1,5,2]=>11000010=>3 [7,3,1,8,6,5,2,4]=>[2,6,8,1,3,4,7,5]=>[3,4,1]=>10010001=>4 [7,1,3,2,4,6,5,8]=>[2,8,6,7,5,3,4,1]=>[2,2,1,2,1]=>10101101=>6 [7,2,3,5,1,6,8,4]=>[2,7,6,4,8,3,1,5]=>[2,1,2,1,2]=>10110110=>5 [7,2,3,1,4,6,8,5]=>[2,7,6,8,5,3,1,4]=>[2,2,1,1,2]=>10101110=>5 [6,5,2,1,4,8,3,7]=>[3,4,7,8,5,1,6,2]=>[4,1,2,1]=>10001101=>4 [2,7,3,1,4,8,6,5]=>[7,2,6,8,5,1,3,4]=>[1,3,1,3]=>11001100=>3 [1,4,6,3,7,8,5,2]=>[8,5,3,6,2,1,4,7]=>[1,1,2,1,3]=>11101100=>3 [3,1,6,5,7,8,4,2]=>[6,8,3,4,2,1,5,7]=>[2,2,1,3]=>10101100=>5 [1,2,6,5,8,4,7,3]=>[8,7,3,4,1,5,2,6]=>[1,1,2,2,2]=>11101010=>5 [4,3,1,5,8,7,6,2]=>[5,6,8,4,1,2,3,7]=>[3,1,4]=>10011000=>3 [4,7,6,8,1,3,5,2]=>[5,2,3,1,8,6,4,7]=>[1,2,2,1,2]=>11010110=>5 [3,7,2,5,1,6,8,4]=>[6,2,7,4,8,3,1,5]=>[1,2,2,1,2]=>11010110=>5 [4,1,6,7,3,2,8,5]=>[5,8,3,2,6,7,1,4]=>[2,1,3,2]=>10110010=>5 [1,7,2,5,6,8,4,3]=>[8,2,7,4,3,1,5,6]=>[1,2,1,1,3]=>11011100=>3 [3,2,1,5,8,4,7,6]=>[6,7,8,4,1,5,2,3]=>[3,1,2,2]=>10011010=>5 [4,7,6,8,3,1,5,2]=>[5,2,3,1,6,8,4,7]=>[1,2,3,2]=>11010010=>5 [2,1,6,5,8,4,3,7]=>[7,8,3,4,1,5,6,2]=>[2,2,3,1]=>10101001=>6 [2,5,4,7,3,1,6,8]=>[7,4,5,2,6,8,3,1]=>[1,2,3,1,1]=>11010011=>4 [5,4,8,6,1,7,3,2]=>[4,5,1,3,8,2,6,7]=>[2,3,3]=>10100100=>5 [3,6,4,5,7,1,8,2]=>[6,3,5,4,2,8,1,7]=>[1,2,1,2,2]=>11011010=>5 [3,5,4,7,1,8,6,2]=>[6,4,5,2,8,1,3,7]=>[1,2,2,3]=>11010100=>5 [3,8,2,4,5,7,1,6]=>[6,1,7,5,4,2,8,3]=>[1,2,1,1,2,1]=>11011101=>4 [6,3,2,4,1,8,5,7]=>[3,6,7,5,8,1,4,2]=>[3,2,2,1]=>10010101=>6 [7,1,3,6,4,5,2,8]=>[2,8,6,3,5,4,7,1]=>[2,1,2,2,1]=>10110101=>6 [6,4,5,1,3,8,2,7]=>[3,5,4,8,6,1,7,2]=>[2,2,1,2,1]=>10101101=>6 [7,4,5,1,3,6,2,8]=>[2,5,4,8,6,3,7,1]=>[2,2,1,2,1]=>10101101=>6 [7,3,6,4,5,1,2,8]=>[2,6,3,5,4,8,7,1]=>[2,2,2,1,1]=>10101011=>6 [2,1,8,7,3,6,5,4]=>[7,8,1,2,6,3,4,5]=>[2,3,3]=>10100100=>5 [5,8,2,7,1,3,6,4]=>[4,1,7,2,8,6,3,5]=>[1,2,2,1,2]=>11010110=>5 [2,6,5,4,1,3,7,8]=>[7,3,4,5,8,6,2,1]=>[1,4,1,1,1]=>11000111=>2 [4,1,5,7,6,3,2,8]=>[5,8,4,2,3,6,7,1]=>[2,1,4,1]=>10110001=>4 [6,3,4,2,1,8,7,5]=>[3,6,5,7,8,1,2,4]=>[2,3,3]=>10100100=>5 [4,5,1,7,6,3,2,8]=>[5,4,8,2,3,6,7,1]=>[1,2,4,1]=>11010001=>4 [2,5,4,1,7,8,3,6]=>[7,4,5,8,2,1,6,3]=>[1,3,1,2,1]=>11001101=>4 [7,3,6,1,4,5,2,8]=>[2,6,3,8,5,4,7,1]=>[2,2,1,2,1]=>10101101=>6 [5,4,2,1,8,7,3,6]=>[4,5,7,8,1,2,6,3]=>[4,3,1]=>10001001=>4 [4,8,6,3,1,5,2,7]=>[5,1,3,6,8,4,7,2]=>[1,4,2,1]=>11000101=>4 [6,2,1,5,4,3,8,7]=>[3,7,8,4,5,6,1,2]=>[3,3,2]=>10010010=>5 [5,1,4,8,3,6,2,7]=>[4,8,5,1,6,3,7,2]=>[2,1,2,2,1]=>10110101=>6 [6,1,4,5,3,8,2,7]=>[3,8,5,4,6,1,7,2]=>[2,1,2,2,1]=>10110101=>6 [1,7,2,6,8,4,5,3]=>[8,2,7,3,1,5,4,6]=>[1,2,1,2,2]=>11011010=>5 [1,4,2,6,7,8,5,3]=>[8,5,7,3,2,1,4,6]=>[1,2,1,1,3]=>11011100=>3 [1,4,2,5,6,8,7,3]=>[8,5,7,4,3,1,2,6]=>[1,2,1,1,3]=>11011100=>3 [1,4,6,5,7,2,8,3]=>[8,5,3,4,2,7,1,6]=>[1,1,2,2,2]=>11101010=>5 [2,5,3,6,7,8,4,1]=>[7,4,6,3,2,1,5,8]=>[1,2,1,1,3]=>11011100=>3 [6,4,2,7,8,3,5,1]=>[3,5,7,2,1,6,4,8]=>[3,1,2,2]=>10011010=>5 [5,3,1,6,8,7,2,4]=>[4,6,8,3,1,2,7,5]=>[3,1,3,1]=>10011001=>4 [6,2,1,7,4,3,5,8]=>[3,7,8,2,5,6,4,1]=>[3,3,1,1]=>10010011=>4 [1,8,6,2,4,3,5,7]=>[8,1,3,7,5,6,4,2]=>[1,3,2,1,1]=>11001011=>4 [8,3,1,4,2,6,7,5]=>[1,6,8,5,7,3,2,4]=>[3,2,1,2]=>10010110=>5 [7,4,2,5,3,8,6,1]=>[2,5,7,4,6,1,3,8]=>[3,2,3]=>10010100=>5 [6,5,8,3,1,7,2,4]=>[3,4,1,6,8,2,7,5]=>[2,3,2,1]=>10100101=>6 [3,2,4,5,7,8,1,6]=>[6,7,5,4,2,1,8,3]=>[2,1,1,1,2,1]=>10111101=>4 [2,3,4,7,5,8,6,1]=>[7,6,5,2,4,1,3,8]=>[1,1,1,2,3]=>11110100=>3 [3,6,2,4,8,5,1,7]=>[6,3,7,5,1,4,8,2]=>[1,2,1,3,1]=>11011001=>4 [1,8,2,4,7,3,5,6]=>[8,1,7,5,2,6,4,3]=>[1,2,1,2,1,1]=>11011011=>4 [8,1,3,2,7,4,5,6]=>[1,8,6,7,2,5,4,3]=>[2,2,2,1,1]=>10101011=>6 [1,3,2,9,4,5,6,7,8]=>[9,7,8,1,6,5,4,3,2]=>[1,2,2,1,1,1,1]=>110101111=>4 [6,5,2,8,7,4,3,1]=>[3,4,7,1,2,5,6,8]=>[3,5]=>10010000=>3 [7,8,5,4,2,1,6,3]=>[2,1,4,5,7,8,3,6]=>[1,5,2]=>11000010=>3 [7,5,2,8,6,4,3,1]=>[2,4,7,1,3,5,6,8]=>[3,5]=>10010000=>3 [7,8,3,2,6,5,4,1]=>[2,1,6,7,3,4,5,8]=>[1,3,4]=>11001000=>3 [5,1,8,6,4,3,7,2]=>[4,8,1,3,5,6,2,7]=>[2,4,2]=>10100010=>5 [8,2,6,3,7,5,1,4]=>[1,7,3,6,2,4,8,5]=>[2,2,3,1]=>10101001=>6 [6,8,7,4,1,3,2,5]=>[3,1,2,5,8,6,7,4]=>[1,4,2,1]=>11000101=>4 [8,6,7,2,5,3,1,4]=>[1,3,2,7,4,6,8,5]=>[2,2,3,1]=>10101001=>6 [1,6,2,7,8,4,5,3]=>[8,3,7,2,1,5,4,6]=>[1,2,1,2,2]=>11011010=>5 [8,6,2,7,5,4,1,3]=>[1,3,7,2,4,5,8,6]=>[3,4,1]=>10010001=>4 [1,6,8,2,7,5,3,4]=>[8,3,1,7,2,4,6,5]=>[1,1,2,3,1]=>11101001=>4 [7,6,3,2,8,1,5,4]=>[2,3,6,7,1,8,4,5]=>[4,2,2]=>10001010=>5 [5,7,3,1,2,8,6,4]=>[4,2,6,8,7,1,3,5]=>[1,3,1,3]=>11001100=>3 [5,1,7,4,3,8,6,2]=>[4,8,2,5,6,1,3,7]=>[2,3,3]=>10100100=>5 [6,7,1,4,8,2,5,3]=>[3,2,8,5,1,7,4,6]=>[1,2,1,2,2]=>11011010=>5 [8,6,3,7,2,4,1,5]=>[1,3,6,2,7,5,8,4]=>[3,2,2,1]=>10010101=>6 [1,7,8,6,4,2,3,5]=>[8,2,1,3,5,7,6,4]=>[1,1,4,1,1]=>11100011=>2 [7,4,2,6,5,3,1,8]=>[2,5,7,3,4,6,8,1]=>[3,4,1]=>10010001=>4 [1,5,3,7,4,2,6,8]=>[8,4,6,2,5,7,3,1]=>[1,2,3,1,1]=>11010011=>4 [1,7,6,4,3,2,8,5]=>[8,2,3,5,6,7,1,4]=>[1,5,2]=>11000010=>3 [1,7,6,4,3,2,5,8]=>[8,2,3,5,6,7,4,1]=>[1,5,1,1]=>11000011=>2 [7,4,3,6,2,5,1,8]=>[2,5,6,3,7,4,8,1]=>[3,2,2,1]=>10010101=>6 [1,7,6,3,4,2,5,8]=>[8,2,3,6,5,7,4,1]=>[1,3,2,1,1]=>11001011=>4 [1,2,7,4,3,8,6,5]=>[8,7,2,5,6,1,3,4]=>[1,1,3,3]=>11100100=>3 [1,7,6,3,5,2,4,8]=>[8,2,3,6,4,7,5,1]=>[1,3,2,1,1]=>11001011=>4 [1,5,4,7,3,2,8,6]=>[8,4,5,2,6,7,1,3]=>[1,2,3,2]=>11010010=>5 [1,7,6,3,5,2,8,4]=>[8,2,3,6,4,7,1,5]=>[1,3,2,2]=>11001010=>5 [1,2,7,4,3,6,5,8]=>[8,7,2,5,6,3,4,1]=>[1,1,3,2,1]=>11100101=>4 [1,5,4,2,3,8,7,6]=>[8,4,5,7,6,1,2,3]=>[1,3,1,3]=>11001100=>3 [1,7,6,4,5,2,3,8]=>[8,2,3,5,4,7,6,1]=>[1,3,2,1,1]=>11001011=>4 [1,5,3,2,4,6,7,8]=>[8,4,6,7,5,3,2,1]=>[1,3,1,1,1,1]=>11001111=>2 [1,5,3,7,6,2,4,8]=>[8,4,6,2,3,7,5,1]=>[1,2,3,1,1]=>11010011=>4 [1,2,7,5,3,6,8,4]=>[8,7,2,4,6,3,1,5]=>[1,1,3,1,2]=>11100110=>3 [8,1,3,2,6,5,7,4]=>[1,8,6,7,3,4,2,5]=>[2,2,2,2]=>10101010=>7 [4,3,7,2,8,1,6,5]=>[5,6,2,7,1,8,3,4]=>[2,2,2,2]=>10101010=>7 [3,2,7,5,6,1,8,4]=>[6,7,2,4,3,8,1,5]=>[2,2,2,2]=>10101010=>7 [7,5,6,1,3,2,8,4]=>[2,4,3,8,6,7,1,5]=>[2,2,2,2]=>10101010=>7 [7,3,4,1,8,2,6,5]=>[2,6,5,8,1,7,3,4]=>[2,2,2,2]=>10101010=>7 [7,4,5,1,6,3,8,2]=>[2,5,4,8,3,6,1,7]=>[2,2,2,2]=>10101010=>7 [7,5,6,1,4,3,8,2]=>[2,4,3,8,5,6,1,7]=>[2,2,2,2]=>10101010=>7 [4,2,7,6,8,3,5,1]=>[5,7,2,3,1,6,4,8]=>[2,2,2,2]=>10101010=>7 [3,2,6,4,8,5,7,1]=>[6,7,3,5,1,4,2,8]=>[2,2,2,2]=>10101010=>7 [4,2,8,3,6,5,7,1]=>[5,7,1,6,3,4,2,8]=>[2,2,2,2]=>10101010=>7 [8,1,4,3,5,2,7,6]=>[1,8,5,6,4,7,2,3]=>[2,2,2,2]=>10101010=>7 [6,2,8,5,7,1,4,3]=>[3,7,1,4,2,8,5,6]=>[2,2,2,2]=>10101010=>7 [6,4,8,5,7,1,3,2]=>[3,5,1,4,2,8,6,7]=>[2,2,2,2]=>10101010=>7 [5,3,4,1,6,2,8,7]=>[4,6,5,8,3,7,1,2]=>[2,2,2,2]=>10101010=>7 [6,5,7,3,4,1,8,2]=>[3,4,2,6,5,8,1,7]=>[2,2,2,2]=>10101010=>7 [5,2,7,6,8,1,4,3]=>[4,7,2,3,1,8,5,6]=>[2,2,2,2]=>10101010=>7 [7,5,6,1,8,2,4,3]=>[2,4,3,8,1,7,5,6]=>[2,2,2,2]=>10101010=>7 [7,3,6,1,8,2,5,4]=>[2,6,3,8,1,7,4,5]=>[2,2,2,2]=>10101010=>7 [7,2,8,1,6,3,5,4]=>[2,7,1,8,3,6,4,5]=>[2,2,2,2]=>10101010=>7 [6,4,7,1,2,8,3,5]=>[3,5,2,8,7,1,6,4]=>[2,2,1,2,1]=>10101101=>6 [3,8,1,7,4,2,5,6]=>[6,1,8,2,5,7,4,3]=>[1,2,3,1,1]=>11010011=>4 [3,7,4,8,2,5,6,1]=>[6,2,5,1,7,4,3,8]=>[1,2,2,1,2]=>11010110=>5 [8,4,1,2,3,6,5,7]=>[1,5,8,7,6,3,4,2]=>[3,1,1,2,1]=>10011101=>4 [8,3,6,5,4,1,2,7]=>[1,6,3,4,5,8,7,2]=>[2,4,1,1]=>10100011=>4 [2,7,8,5,4,3,6,1]=>[7,2,1,4,5,6,3,8]=>[1,1,4,2]=>11100010=>3 [3,8,2,6,4,7,5,1]=>[6,1,7,3,5,2,4,8]=>[1,2,2,3]=>11010100=>5 [1,2,5,7,4,8,3,6]=>[8,7,4,2,5,1,6,3]=>[1,1,1,2,2,1]=>11110101=>4 [4,3,7,5,8,1,2,6]=>[5,6,2,4,1,8,7,3]=>[2,2,2,1,1]=>10101011=>6 [4,7,1,5,3,6,8,2]=>[5,2,8,4,6,3,1,7]=>[1,2,2,1,2]=>11010110=>5 [7,3,6,8,4,1,5,2]=>[2,6,3,1,5,8,4,7]=>[2,1,3,2]=>10110010=>5 [8,3,6,7,4,5,2,1]=>[1,6,3,2,5,4,7,8]=>[2,1,2,3]=>10110100=>5 [6,1,4,7,3,5,8,2]=>[3,8,5,2,6,4,1,7]=>[2,1,2,1,2]=>10110110=>5 [5,8,6,2,7,3,4,1]=>[4,1,3,7,2,6,5,8]=>[1,3,2,2]=>11001010=>5 [6,5,8,3,2,7,4,1]=>[3,4,1,6,7,2,5,8]=>[2,3,3]=>10100100=>5 [6,5,7,1,2,8,3,4]=>[3,4,2,8,7,1,6,5]=>[2,2,1,2,1]=>10101101=>6 [7,1,4,2,3,8,6,5]=>[2,8,5,7,6,1,3,4]=>[2,2,1,3]=>10101100=>5 [2,3,5,4,8,1,7,6]=>[7,6,4,5,1,8,2,3]=>[1,1,2,2,2]=>11101010=>5 [6,2,4,7,8,3,5,1]=>[3,7,5,2,1,6,4,8]=>[2,1,1,2,2]=>10111010=>5 [1,7,2,6,5,3,8,4]=>[8,2,7,3,4,6,1,5]=>[1,2,3,2]=>11010010=>5 [4,2,6,7,1,8,5,3]=>[5,7,3,2,8,1,4,6]=>[2,1,2,3]=>10110100=>5 [2,7,1,6,3,8,5,4]=>[7,2,8,3,6,1,4,5]=>[1,2,2,3]=>11010100=>5 [3,7,5,6,8,1,2,4]=>[6,2,4,3,1,8,7,5]=>[1,2,1,2,1,1]=>11011011=>4 [8,1,2,5,3,7,6,4]=>[1,8,7,4,6,2,3,5]=>[2,1,2,3]=>10110100=>5 [8,6,5,2,4,1,7,3]=>[1,3,4,7,5,8,2,6]=>[4,2,2]=>10001010=>5 [7,8,5,1,2,4,6,3]=>[2,1,4,8,7,5,3,6]=>[1,3,1,1,2]=>11001110=>3 [7,1,6,4,2,5,8,3]=>[2,8,3,5,7,4,1,6]=>[2,3,1,2]=>10100110=>5 [8,1,6,4,5,3,7,2]=>[1,8,3,5,4,6,2,7]=>[2,2,2,2]=>10101010=>7 [8,6,7,5,1,3,4,2]=>[1,3,2,4,8,6,5,7]=>[2,3,1,2]=>10100110=>5 [6,2,5,8,1,7,4,3]=>[3,7,4,1,8,2,5,6]=>[2,1,2,3]=>10110100=>5 [6,7,5,2,4,3,1,8]=>[3,2,4,7,5,6,8,1]=>[1,3,3,1]=>11001001=>4 [4,3,8,6,7,5,2,1]=>[5,6,1,3,2,4,7,8]=>[2,2,4]=>10101000=>5 [3,6,5,2,4,1,7,8]=>[6,3,4,7,5,8,2,1]=>[1,3,2,1,1]=>11001011=>4 [8,6,5,2,4,3,1,7]=>[1,3,4,7,5,6,8,2]=>[4,3,1]=>10001001=>4 [6,2,5,8,4,3,1,7]=>[3,7,4,1,5,6,8,2]=>[2,1,4,1]=>10110001=>4 [3,8,1,6,5,2,4,7]=>[6,1,8,3,4,7,5,2]=>[1,2,3,1,1]=>11010011=>4 [3,4,2,8,6,7,1,5]=>[6,5,7,1,3,2,8,4]=>[1,2,2,2,1]=>11010101=>6 [3,7,1,6,2,5,8,4]=>[6,2,8,3,7,4,1,5]=>[1,2,2,1,2]=>11010110=>5 [3,8,4,1,6,2,5,7]=>[6,1,5,8,3,7,4,2]=>[1,3,2,1,1]=>11001011=>4 [3,8,5,2,4,1,6,7]=>[6,1,4,7,5,8,3,2]=>[1,3,2,1,1]=>11001011=>4 [3,4,2,7,6,8,1,5]=>[6,5,7,2,3,1,8,4]=>[1,2,2,2,1]=>11010101=>6 [7,5,2,4,3,1,8,6]=>[2,4,7,5,6,8,1,3]=>[3,3,2]=>10010010=>5 [3,8,7,5,2,4,1,6]=>[6,1,2,4,7,5,8,3]=>[1,4,2,1]=>11000101=>4 [3,8,1,6,2,5,7,4]=>[6,1,8,3,7,4,2,5]=>[1,2,2,1,2]=>11010110=>5 [3,7,4,1,6,2,5,8]=>[6,2,5,8,3,7,4,1]=>[1,3,2,1,1]=>11001011=>4 [3,6,2,5,1,8,7,4]=>[6,3,7,4,8,1,2,5]=>[1,2,2,3]=>11010100=>5 [3,6,2,5,1,7,4,8]=>[6,3,7,4,8,2,5,1]=>[1,2,2,2,1]=>11010101=>6 [7,6,1,8,5,2,4,3]=>[2,3,8,1,4,7,5,6]=>[3,3,2]=>10010010=>5 [4,6,7,2,5,1,8,3]=>[5,3,2,7,4,8,1,6]=>[1,1,2,2,2]=>11101010=>5 [3,6,2,5,1,7,8,4]=>[6,3,7,4,8,2,1,5]=>[1,2,2,1,2]=>11010110=>5 [3,4,2,7,6,1,5,8]=>[6,5,7,2,3,8,4,1]=>[1,2,3,1,1]=>11010011=>4 [3,4,2,7,8,1,5,6]=>[6,5,7,2,1,8,4,3]=>[1,2,1,2,1,1]=>11011011=>4 [3,4,2,6,1,5,7,8]=>[6,5,7,3,8,4,2,1]=>[1,2,2,1,1,1]=>11010111=>4 [3,6,2,5,1,8,4,7]=>[6,3,7,4,8,1,5,2]=>[1,2,2,2,1]=>11010101=>6 [8,3,4,7,2,5,1,6]=>[1,6,5,2,7,4,8,3]=>[2,1,2,2,1]=>10110101=>6 [3,4,2,7,1,5,8,6]=>[6,5,7,2,8,4,1,3]=>[1,2,2,1,2]=>11010110=>5 [3,4,2,8,7,1,5,6]=>[6,5,7,1,2,8,4,3]=>[1,2,3,1,1]=>11010011=>4 [7,3,4,6,5,8,1,2]=>[2,6,5,3,4,1,8,7]=>[2,1,2,2,1]=>10110101=>6 [7,3,6,8,1,4,5,2]=>[2,6,3,1,8,5,4,7]=>[2,1,2,1,2]=>10110110=>5 [6,3,4,1,7,5,2,8]=>[3,6,5,8,2,4,7,1]=>[2,2,3,1]=>10101001=>6 [3,4,6,7,2,1,8,5]=>[6,5,3,2,7,8,1,4]=>[1,1,1,3,2]=>11110010=>3 [5,7,1,8,6,4,3,2]=>[4,2,8,1,3,5,6,7]=>[1,2,5]=>11010000=>3 [5,1,8,6,7,2,4,3]=>[4,8,1,3,2,7,5,6]=>[2,2,2,2]=>10101010=>7 [6,1,8,5,2,4,7,3]=>[3,8,1,4,7,5,2,6]=>[2,3,1,2]=>10100110=>5 [7,1,4,2,5,8,6,3]=>[2,8,5,7,4,1,3,6]=>[2,2,1,3]=>10101100=>5 [7,8,5,1,2,4,3,6]=>[2,1,4,8,7,5,6,3]=>[1,3,1,2,1]=>11001101=>4 [2,5,3,1,4,8,6,7]=>[7,4,6,8,5,1,3,2]=>[1,3,1,2,1]=>11001101=>4 [3,6,1,2,5,4,8,7]=>[6,3,8,7,4,5,1,2]=>[1,2,1,2,2]=>11011010=>5 [5,8,1,4,3,6,7,2]=>[4,1,8,5,6,3,2,7]=>[1,2,2,1,2]=>11010110=>5 [7,2,3,8,6,4,1,5]=>[2,7,6,1,3,5,8,4]=>[2,1,4,1]=>10110001=>4 [5,2,3,8,7,4,1,6]=>[4,7,6,1,2,5,8,3]=>[2,1,4,1]=>10110001=>4 [6,5,8,2,1,4,3,7]=>[3,4,1,7,8,5,6,2]=>[2,3,2,1]=>10100101=>6 [5,7,6,3,1,2,4,8]=>[4,2,3,6,8,7,5,1]=>[1,4,1,1,1]=>11000111=>2 [1,4,3,7,2,6,8,5]=>[8,5,6,2,7,3,1,4]=>[1,2,2,1,2]=>11010110=>5 [5,8,6,3,2,4,1,7]=>[4,1,3,6,7,5,8,2]=>[1,4,2,1]=>11000101=>4 [4,6,2,7,8,1,3,5]=>[5,3,7,2,1,8,6,4]=>[1,2,1,2,1,1]=>11011011=>4 [4,6,7,8,2,1,3,5]=>[5,3,2,1,7,8,6,4]=>[1,1,1,3,1,1]=>11110011=>2 [8,6,3,2,1,7,5,4]=>[1,3,6,7,8,2,4,5]=>[5,3]=>10000100=>3 [5,3,4,1,7,8,2,6]=>[4,6,5,8,2,1,7,3]=>[2,2,1,2,1]=>10101101=>6 [4,8,6,1,2,3,5,7]=>[5,1,3,8,7,6,4,2]=>[1,3,1,1,1,1]=>11001111=>2 [8,6,4,9,7,5,3,2,1]=>[2,4,6,1,3,5,7,8,9]=>[3,6]=>100100000=>3 [8,6,4,2,9,7,5,3,1]=>[2,4,6,8,1,3,5,7,9]=>[4,5]=>100010000=>3 [6,2,7,3,8,4,9,5,1]=>[4,8,3,7,2,6,1,5,9]=>[2,2,2,3]=>101010100=>7 [4,5,6,7,8,2,9,3,1]=>[6,5,4,3,2,8,1,7,9]=>[1,1,1,1,2,3]=>111110100=>3 [5,6,1,7,2,8,3,9,4]=>[5,4,9,3,8,2,7,1,6]=>[1,2,2,2,2]=>110101010=>7 [4,5,6,7,1,8,2,9,3]=>[6,5,4,3,9,2,8,1,7]=>[1,1,1,2,2,2]=>111101010=>5 [6,7,3,5,8,4,1,2]=>[3,2,6,4,1,5,8,7]=>[1,2,1,3,1]=>11011001=>4 [7,5,8,2,3,1,6,4]=>[2,4,1,7,6,8,3,5]=>[2,2,2,2]=>10101010=>7 [6,5,1,4,8,2,3,7]=>[3,4,8,5,1,7,6,2]=>[3,1,2,1,1]=>10011011=>4 [6,8,1,4,3,2,5,7]=>[3,1,8,5,6,7,4,2]=>[1,2,3,1,1]=>11010011=>4 [6,1,3,4,2,5,8,7]=>[3,8,6,5,7,4,1,2]=>[2,1,2,1,2]=>10110110=>5 [5,1,3,6,2,4,8,7]=>[4,8,6,3,7,5,1,2]=>[2,1,2,1,2]=>10110110=>5 [2,6,1,3,5,7,8,4]=>[7,3,8,6,4,2,1,5]=>[1,2,1,1,1,2]=>11011110=>3 [7,8,4,2,3,1,6,5]=>[2,1,5,7,6,8,3,4]=>[1,3,2,2]=>11001010=>5 [8,6,3,4,2,1,7,5]=>[1,3,6,5,7,8,2,4]=>[3,3,2]=>10010010=>5 [3,7,1,8,5,2,6,4]=>[6,2,8,1,4,7,3,5]=>[1,2,3,2]=>11010010=>5 [5,7,1,3,8,4,2,6]=>[4,2,8,6,1,5,7,3]=>[1,2,1,3,1]=>11011001=>4 [2,6,1,4,3,7,8,5]=>[7,3,8,5,6,2,1,4]=>[1,2,2,1,2]=>11010110=>5 [3,8,5,7,6,4,1,2]=>[6,1,4,2,3,5,8,7]=>[1,2,4,1]=>11010001=>4 [1,8,5,7,6,3,4,2]=>[8,1,4,2,3,6,5,7]=>[1,2,3,2]=>11010010=>5 [5,8,1,7,6,3,4,2]=>[4,1,8,2,3,6,5,7]=>[1,2,3,2]=>11010010=>5 [1,7,6,3,8,5,4,2]=>[8,2,3,6,1,4,5,7]=>[1,3,4]=>11001000=>3 [5,3,7,6,1,8,4,2]=>[4,6,2,3,8,1,5,7]=>[2,3,3]=>10100100=>5 [5,1,7,6,3,8,4,2]=>[4,8,2,3,6,1,5,7]=>[2,3,3]=>10100100=>5 [1,5,6,3,7,8,4,2]=>[8,4,3,6,2,1,5,7]=>[1,1,2,1,3]=>11101100=>3 [1,5,7,6,3,8,4,2]=>[8,4,2,3,6,1,5,7]=>[1,1,3,3]=>11100100=>3 [7,3,5,6,1,8,4,2]=>[2,6,4,3,8,1,5,7]=>[2,1,2,3]=>10110100=>5 [7,3,6,1,5,8,4,2]=>[2,6,3,8,4,1,5,7]=>[2,2,1,3]=>10101100=>5 [1,6,3,7,8,5,4,2]=>[8,3,6,2,1,4,5,7]=>[1,2,1,4]=>11011000=>3 [1,7,8,6,3,5,4,2]=>[8,2,1,3,6,4,5,7]=>[1,1,3,3]=>11100100=>3 [3,6,1,7,5,8,4,2]=>[6,3,8,2,4,1,5,7]=>[1,2,2,3]=>11010100=>5 [3,7,5,6,1,8,4,2]=>[6,2,4,3,8,1,5,7]=>[1,2,2,3]=>11010100=>5 [7,4,5,1,8,3,2,6]=>[2,5,4,8,1,6,7,3]=>[2,2,3,1]=>10101001=>6 [7,2,1,8,5,4,3,6]=>[2,7,8,1,4,5,6,3]=>[3,4,1]=>10010001=>4 [2,7,3,4,6,8,1,5]=>[7,2,6,5,3,1,8,4]=>[1,2,1,1,2,1]=>11011101=>4 [5,6,2,8,4,7,3,1]=>[4,3,7,1,5,2,6,8]=>[1,2,2,3]=>11010100=>5 [5,6,8,2,3,7,4,1]=>[4,3,1,7,6,2,5,8]=>[1,1,2,1,3]=>11101100=>3 [3,1,7,6,8,5,2,4]=>[6,8,2,3,1,4,7,5]=>[2,2,3,1]=>10101001=>6 [2,7,1,8,6,4,3,5]=>[7,2,8,1,3,5,6,4]=>[1,2,4,1]=>11010001=>4 [8,4,5,7,1,2,6,3]=>[1,5,4,2,8,7,3,6]=>[2,1,2,1,2]=>10110110=>5 [5,6,8,1,7,3,4,2]=>[4,3,1,8,2,6,5,7]=>[1,1,2,2,2]=>11101010=>5 [8,3,1,5,7,4,6,2]=>[1,6,8,4,2,5,3,7]=>[3,1,2,2]=>10011010=>5 [8,1,3,4,7,5,6,2]=>[1,8,6,5,2,4,3,7]=>[2,1,1,2,2]=>10111010=>5 [1,4,5,7,8,6,2,3]=>[8,5,4,2,1,3,7,6]=>[1,1,1,1,3,1]=>11111001=>2 [2,4,5,8,6,7,3,1]=>[7,5,4,1,3,2,6,8]=>[1,1,1,2,3]=>11110100=>3 [5,7,6,3,4,8,1,2]=>[4,2,3,6,5,1,8,7]=>[1,3,1,2,1]=>11001101=>4 [3,7,5,4,6,1,2,8]=>[6,2,4,5,3,8,7,1]=>[1,3,2,1,1]=>11001011=>4 [5,3,4,7,6,8,1,2]=>[4,6,5,2,3,1,8,7]=>[2,1,2,2,1]=>10110101=>6 [5,3,7,4,6,1,2,8]=>[4,6,2,5,3,8,7,1]=>[2,2,2,1,1]=>10101011=>6 [7,3,5,4,6,1,2,8]=>[2,6,4,5,3,8,7,1]=>[2,2,2,1,1]=>10101011=>6 [7,8,3,5,4,1,2,6]=>[2,1,6,4,5,8,7,3]=>[1,2,3,1,1]=>11010011=>4 [7,3,5,4,1,2,6,8]=>[2,6,4,5,8,7,3,1]=>[2,3,1,1,1]=>10100111=>4 [5,7,6,3,4,1,2,8]=>[4,2,3,6,5,8,7,1]=>[1,3,2,1,1]=>11001011=>4 [3,5,4,1,2,7,6,8]=>[6,4,5,8,7,2,3,1]=>[1,3,1,2,1]=>11001101=>4 [5,7,6,1,3,2,4,8]=>[4,2,3,8,6,7,5,1]=>[1,3,2,1,1]=>11001011=>4 [5,3,4,1,2,7,6,8]=>[4,6,5,8,7,2,3,1]=>[2,2,1,2,1]=>10101101=>6 [7,8,3,1,2,5,4,6]=>[2,1,6,8,7,4,5,3]=>[1,3,1,2,1]=>11001101=>4 [7,8,5,1,3,2,4,6]=>[2,1,4,8,6,7,5,3]=>[1,3,2,1,1]=>11001011=>4 [7,5,6,1,3,2,4,8]=>[2,4,3,8,6,7,5,1]=>[2,2,2,1,1]=>10101011=>6 [7,8,5,1,3,6,2,4]=>[2,1,4,8,6,3,7,5]=>[1,3,1,2,1]=>11001101=>4 [7,8,3,1,5,4,2,6]=>[2,1,6,8,4,5,7,3]=>[1,3,3,1]=>11001001=>4 [3,5,4,1,7,6,2,8]=>[6,4,5,8,2,3,7,1]=>[1,3,3,1]=>11001001=>4 [3,5,1,4,7,6,2,8]=>[6,4,8,5,2,3,7,1]=>[1,2,1,3,1]=>11011001=>4 [7,3,8,5,1,4,6,2]=>[2,6,1,4,8,5,3,7]=>[2,3,1,2]=>10100110=>5 [7,5,1,3,8,6,2,4]=>[2,4,8,6,1,3,7,5]=>[3,1,3,1]=>10011001=>4 [7,1,3,8,2,5,4,6]=>[2,8,6,1,7,4,5,3]=>[2,1,2,2,1]=>10110101=>6 [7,5,8,6,1,3,2,4]=>[2,4,1,3,8,6,7,5]=>[2,3,2,1]=>10100101=>6 [5,7,6,8,3,1,4,2]=>[4,2,3,1,6,8,5,7]=>[1,2,3,2]=>11010010=>5 [3,1,5,4,2,7,6,8]=>[6,8,4,5,7,2,3,1]=>[2,3,2,1]=>10100101=>6 [3,1,5,4,7,2,6,8]=>[6,8,4,5,2,7,3,1]=>[2,2,2,1,1]=>10101011=>6 [5,7,6,1,3,8,2,4]=>[4,2,3,8,6,1,7,5]=>[1,3,1,2,1]=>11001101=>4 [5,7,6,3,8,1,4,2]=>[4,2,3,6,1,8,5,7]=>[1,3,2,2]=>11001010=>5 [3,1,5,7,4,2,6,8]=>[6,8,4,2,5,7,3,1]=>[2,1,3,1,1]=>10110011=>4 [3,7,5,4,8,6,1,2]=>[6,2,4,5,1,3,8,7]=>[1,3,3,1]=>11001001=>4 [5,1,3,7,6,2,4,8]=>[4,8,6,2,3,7,5,1]=>[2,1,3,1,1]=>10110011=>4 [7,1,6,8,2,3,5,4]=>[2,8,3,1,7,6,4,5]=>[2,1,2,1,2]=>10110110=>5 [1,6,3,7,2,4,5,8]=>[8,3,6,2,7,5,4,1]=>[1,2,2,1,1,1]=>11010111=>4 [1,7,3,4,5,2,6,8]=>[8,2,6,5,4,7,3,1]=>[1,2,1,2,1,1]=>11011011=>4 [1,6,7,5,4,2,3,8]=>[8,3,2,4,5,7,6,1]=>[1,1,4,1,1]=>11100011=>2 [4,7,8,5,1,3,2,6]=>[5,2,1,4,8,6,7,3]=>[1,1,3,2,1]=>11100101=>4 [4,2,1,8,7,5,3,6]=>[5,7,8,1,2,4,6,3]=>[3,4,1]=>10010001=>4 [8,2,5,1,7,4,6,3]=>[1,7,4,8,2,5,3,6]=>[2,2,2,2]=>10101010=>7 [5,1,4,8,2,3,6,7]=>[4,8,5,1,7,6,3,2]=>[2,1,2,1,1,1]=>10110111=>4 [5,3,2,4,8,1,7,6]=>[4,6,7,5,1,8,2,3]=>[3,1,2,2]=>10011010=>5 [8,2,5,7,4,1,6,3]=>[1,7,4,2,5,8,3,6]=>[2,1,3,2]=>10110010=>5 [8,7,5,1,6,3,4,2]=>[1,2,4,8,3,6,5,7]=>[4,2,2]=>10001010=>5 [4,2,8,5,3,1,6,7]=>[5,7,1,4,6,8,3,2]=>[2,4,1,1]=>10100011=>4 [6,8,5,3,2,7,1,4]=>[3,1,4,6,7,2,8,5]=>[1,4,2,1]=>11000101=>4 [8,3,7,2,6,5,1,4]=>[1,6,2,7,3,4,8,5]=>[2,2,3,1]=>10101001=>6 [4,6,2,7,1,3,8,5]=>[5,3,7,2,8,6,1,4]=>[1,2,2,1,2]=>11010110=>5 [7,2,5,3,6,1,8,4]=>[2,7,4,6,3,8,1,5]=>[2,2,2,2]=>10101010=>7 [8,2,4,5,6,7,1,3]=>[1,7,5,4,3,2,8,6]=>[2,1,1,1,2,1]=>10111101=>4 [3,4,6,5,1,8,7,2]=>[6,5,3,4,8,1,2,7]=>[1,1,3,3]=>11100100=>3 [3,4,6,5,1,7,2,8]=>[6,5,3,4,8,2,7,1]=>[1,1,3,2,1]=>11100101=>4 [8,7,1,5,3,2,6,4]=>[1,2,8,4,6,7,3,5]=>[3,3,2]=>10010010=>5 [3,5,1,4,8,6,7,2]=>[6,4,8,5,1,3,2,7]=>[1,2,1,2,2]=>11011010=>5 [3,5,1,4,7,2,8,6]=>[6,4,8,5,2,7,1,3]=>[1,2,1,2,2]=>11011010=>5 [4,5,1,8,7,3,2,6]=>[5,4,8,1,2,6,7,3]=>[1,2,4,1]=>11010001=>4 [5,1,4,7,3,2,6,8]=>[4,8,5,2,6,7,3,1]=>[2,1,3,1,1]=>10110011=>4 [5,1,4,8,7,3,2,6]=>[4,8,5,1,2,6,7,3]=>[2,1,4,1]=>10110001=>4 [7,1,4,8,5,3,2,6]=>[2,8,5,1,4,6,7,3]=>[2,1,4,1]=>10110001=>4 [3,8,2,6,7,1,5,4]=>[6,1,7,3,2,8,4,5]=>[1,2,1,2,2]=>11011010=>5 [8,3,2,6,7,1,5,4]=>[1,6,7,3,2,8,4,5]=>[3,1,2,2]=>10011010=>5 [5,2,8,7,3,1,4,6]=>[4,7,1,2,6,8,5,3]=>[2,4,1,1]=>10100011=>4 [2,1,4,3,6,5,9,7,8]=>[8,9,6,7,4,5,1,3,2]=>[2,2,2,2,1]=>101010101=>8 [2,1,4,3,7,5,9,6,8]=>[8,9,6,7,3,5,1,4,2]=>[2,2,2,2,1]=>101010101=>8 [2,1,5,3,7,4,9,6,8]=>[8,9,5,7,3,6,1,4,2]=>[2,2,2,2,1]=>101010101=>8 [6,1,3,4,2,7,8,5]=>[3,8,6,5,7,2,1,4]=>[2,1,2,1,2]=>10110110=>5 [6,1,3,4,8,2,7,5]=>[3,8,6,5,1,7,2,4]=>[2,1,1,2,2]=>10111010=>5 [6,5,2,3,7,8,1,4]=>[3,4,7,6,2,1,8,5]=>[3,1,1,2,1]=>10011101=>4 [8,4,2,7,3,5,1,6]=>[1,5,7,2,6,4,8,3]=>[3,2,2,1]=>10010101=>6 [1,5,3,8,4,2,7,6]=>[8,4,6,1,5,7,2,3]=>[1,2,3,2]=>11010010=>5 [8,5,2,7,3,4,1,6]=>[1,4,7,2,6,5,8,3]=>[3,2,2,1]=>10010101=>6 [5,4,2,1,8,3,7,6]=>[4,5,7,8,1,6,2,3]=>[4,2,2]=>10001010=>5 [1,5,3,7,8,2,6,4]=>[8,4,6,2,1,7,3,5]=>[1,2,1,2,2]=>11011010=>5 [3,1,7,4,2,6,8,5]=>[6,8,2,5,7,3,1,4]=>[2,3,1,2]=>10100110=>5 [3,8,1,4,2,6,7,5]=>[6,1,8,5,7,3,2,4]=>[1,2,2,1,2]=>11010110=>5 [7,4,8,2,3,5,1,6]=>[2,5,1,7,6,4,8,3]=>[2,2,1,2,1]=>10101101=>6 [8,4,5,2,7,3,1,6]=>[1,5,4,7,2,6,8,3]=>[2,2,3,1]=>10101001=>6 [8,4,1,3,2,6,7,5]=>[1,5,8,6,7,3,2,4]=>[3,2,1,2]=>10010110=>5 [8,1,7,3,2,5,6,4]=>[1,8,2,6,7,4,3,5]=>[2,3,1,2]=>10100110=>5 [8,6,5,2,7,3,1,4]=>[1,3,4,7,2,6,8,5]=>[4,3,1]=>10001001=>4 [6,4,5,2,1,3,8,7]=>[3,5,4,7,8,6,1,2]=>[2,3,1,2]=>10100110=>5 [3,4,7,6,2,8,1,5]=>[6,5,2,3,7,1,8,4]=>[1,1,3,2,1]=>11100101=>4 [3,8,5,1,4,6,7,2]=>[6,1,4,8,5,3,2,7]=>[1,3,1,1,2]=>11001110=>3 [3,8,1,7,4,5,6,2]=>[6,1,8,2,5,4,3,7]=>[1,2,2,1,2]=>11010110=>5 [3,1,6,8,4,2,7,5]=>[6,8,3,1,5,7,2,4]=>[2,1,3,2]=>10110010=>5 [3,1,8,7,4,2,6,5]=>[6,8,1,2,5,7,3,4]=>[2,4,2]=>10100010=>5 [3,7,5,6,2,8,1,4]=>[6,2,4,3,7,1,8,5]=>[1,2,2,2,1]=>11010101=>6 [8,4,5,1,3,6,7,2]=>[1,5,4,8,6,3,2,7]=>[2,2,1,1,2]=>10101110=>5 [8,4,5,7,2,3,1,6]=>[1,5,4,2,7,6,8,3]=>[2,1,2,2,1]=>10110101=>6 [8,1,6,2,4,5,7,3]=>[1,8,3,7,5,4,2,6]=>[2,2,1,1,2]=>10101110=>5 [1,5,6,8,3,2,7,4]=>[8,4,3,1,6,7,2,5]=>[1,1,1,3,2]=>11110010=>3 [3,1,6,7,2,5,8,4]=>[6,8,3,2,7,4,1,5]=>[2,1,2,1,2]=>10110110=>5 [2,3,4,9,5,6,7,8,1]=>[8,7,6,1,5,4,3,2,9]=>[1,1,1,2,1,1,2]=>111101110=>3 [5,6,2,3,7,4,1,8]=>[4,3,7,6,2,5,8,1]=>[1,2,1,3,1]=>11011001=>4 [6,2,4,7,3,5,1,8]=>[3,7,5,2,6,4,8,1]=>[2,1,2,2,1]=>10110101=>6 [1,4,8,5,3,6,7,2]=>[8,5,1,4,6,3,2,7]=>[1,1,3,1,2]=>11100110=>3 [4,5,1,2,7,8,6,3]=>[5,4,8,7,2,1,3,6]=>[1,2,1,1,3]=>11011100=>3 [4,8,5,1,2,6,7,3]=>[5,1,4,8,7,3,2,6]=>[1,3,1,1,2]=>11001110=>3 [4,6,7,5,1,2,8,3]=>[5,3,2,4,8,7,1,6]=>[1,1,3,1,2]=>11100110=>3 [7,2,8,1,4,5,3,6]=>[2,7,1,8,5,4,6,3]=>[2,2,1,2,1]=>10101101=>6 [6,1,4,7,3,8,2,5]=>[3,8,5,2,6,1,7,4]=>[2,1,2,2,1]=>10110101=>6 [2,8,4,6,3,1,5,7]=>[7,1,5,3,6,8,4,2]=>[1,2,3,1,1]=>11010011=>4 [8,2,6,3,5,1,4,7]=>[1,7,3,6,4,8,5,2]=>[2,2,2,1,1]=>10101011=>6 [3,7,4,1,5,8,2,6]=>[6,2,5,8,4,1,7,3]=>[1,3,1,2,1]=>11001101=>4 [3,8,4,1,7,2,5,6]=>[6,1,5,8,2,7,4,3]=>[1,3,2,1,1]=>11001011=>4 [6,7,5,1,3,8,2,4]=>[3,2,4,8,6,1,7,5]=>[1,3,1,2,1]=>11001101=>4 [8,5,1,3,6,7,2,4]=>[1,4,8,6,3,2,7,5]=>[3,1,1,2,1]=>10011101=>4 [7,8,6,2,4,1,3,5]=>[2,1,3,7,5,8,6,4]=>[1,3,2,1,1]=>11001011=>4 [8,2,4,1,3,6,7,5]=>[1,7,5,8,6,3,2,4]=>[2,2,1,1,2]=>10101110=>5 [8,1,3,6,2,5,7,4]=>[1,8,6,3,7,4,2,5]=>[2,1,2,1,2]=>10110110=>5 [1,5,6,3,8,4,7,2]=>[8,4,3,6,1,5,2,7]=>[1,1,2,2,2]=>11101010=>5 [5,6,1,3,7,2,8,4]=>[4,3,8,6,2,7,1,5]=>[1,2,1,2,2]=>11011010=>5 [5,6,1,2,8,4,7,3]=>[4,3,8,7,1,5,2,6]=>[1,2,1,2,2]=>11011010=>5 [3,7,8,6,4,1,2,5]=>[6,2,1,3,5,8,7,4]=>[1,1,4,1,1]=>11100011=>2 [5,7,8,3,6,4,2,1]=>[4,2,1,6,3,5,7,8]=>[1,1,2,4]=>11101000=>3 [5,7,8,1,6,4,2,3]=>[4,2,1,8,3,5,7,6]=>[1,1,2,3,1]=>11101001=>4 [3,7,8,1,6,4,2,5]=>[6,2,1,8,3,5,7,4]=>[1,1,2,3,1]=>11101001=>4 [1,7,8,6,3,4,2,5]=>[8,2,1,3,6,5,7,4]=>[1,1,3,2,1]=>11100101=>4 [3,7,5,8,6,4,2,1]=>[6,2,4,1,3,5,7,8]=>[1,2,5]=>11010000=>3 [1,7,3,8,6,4,2,5]=>[8,2,6,1,3,5,7,4]=>[1,2,4,1]=>11010001=>4 [5,7,1,8,6,4,2,3]=>[4,2,8,1,3,5,7,6]=>[1,2,4,1]=>11010001=>4 [7,8,1,5,6,4,2,3]=>[2,1,8,4,3,5,7,6]=>[1,2,1,3,1]=>11011001=>4 [7,8,3,5,6,4,2,1]=>[2,1,6,4,3,5,7,8]=>[1,2,1,4]=>11011000=>3 [7,1,8,5,6,4,2,3]=>[2,8,1,4,3,5,7,6]=>[2,2,3,1]=>10101001=>6 [7,1,5,8,6,4,2,3]=>[2,8,4,1,3,5,7,6]=>[2,1,4,1]=>10110001=>4 [7,3,5,8,6,4,2,1]=>[2,6,4,1,3,5,7,8]=>[2,1,5]=>10110000=>3 [5,3,7,8,6,4,2,1]=>[4,6,2,1,3,5,7,8]=>[2,1,5]=>10110000=>3 [3,1,8,5,6,4,2,7]=>[6,8,1,4,3,5,7,2]=>[2,2,3,1]=>10101001=>6 [8,3,1,5,6,4,2,7]=>[1,6,8,4,3,5,7,2]=>[3,1,3,1]=>10011001=>4 [8,1,3,5,6,4,2,7]=>[1,8,6,4,3,5,7,2]=>[2,1,1,3,1]=>10111001=>4 [1,8,3,5,6,4,2,7]=>[8,1,6,4,3,5,7,2]=>[1,2,1,3,1]=>11011001=>4 [1,3,8,5,6,4,2,7]=>[8,6,1,4,3,5,7,2]=>[1,1,2,3,1]=>11101001=>4 [1,3,5,8,6,4,2,7]=>[8,6,4,1,3,5,7,2]=>[1,1,1,4,1]=>11110001=>2 [1,5,7,8,6,4,2,3]=>[8,4,2,1,3,5,7,6]=>[1,1,1,4,1]=>11110001=>2 [8,6,1,5,2,3,4,7]=>[1,3,8,4,7,6,5,2]=>[3,2,1,1,1]=>10010111=>4 [8,5,1,6,2,3,4,7]=>[1,4,8,3,7,6,5,2]=>[3,2,1,1,1]=>10010111=>4 [6,8,1,2,3,7,4,5]=>[3,1,8,7,6,2,5,4]=>[1,2,1,1,2,1]=>11011101=>4 [8,1,5,4,2,3,7,6]=>[1,8,4,5,7,6,2,3]=>[2,3,1,2]=>10100110=>5 [7,5,2,3,1,8,4,6]=>[2,4,7,6,8,1,5,3]=>[3,2,2,1]=>10010101=>6 [8,1,3,5,6,7,2,4]=>[1,8,6,4,3,2,7,5]=>[2,1,1,1,2,1]=>10111101=>4 [2,7,3,5,8,4,1,6]=>[7,2,6,4,1,5,8,3]=>[1,2,1,3,1]=>11011001=>4 [3,7,6,2,5,8,4,1]=>[6,2,3,7,4,1,5,8]=>[1,3,1,3]=>11001100=>3 [5,2,7,3,4,8,1,6]=>[4,7,2,6,5,1,8,3]=>[2,2,1,2,1]=>10101101=>6 [8,6,4,7,3,5,2,1]=>[1,3,5,2,6,4,7,8]=>[3,2,3]=>10010100=>5 [4,7,2,3,5,8,1,6]=>[5,2,7,6,4,1,8,3]=>[1,2,1,1,2,1]=>11011101=>4 [2,5,8,3,6,4,1,7]=>[7,4,1,6,3,5,8,2]=>[1,1,2,3,1]=>11101001=>4 [7,4,2,1,5,3,8,6]=>[2,5,7,8,4,6,1,3]=>[4,2,2]=>10001010=>5 [7,4,6,8,2,3,5,1]=>[2,5,3,1,7,6,4,8]=>[2,1,2,1,2]=>10110110=>5 [3,6,8,7,1,2,4,5]=>[6,3,1,2,8,7,5,4]=>[1,1,3,1,1,1]=>11100111=>2 [4,2,1,6,5,7,8,3]=>[5,7,8,3,4,2,1,6]=>[3,2,1,2]=>10010110=>5 [4,3,1,5,6,7,2,8]=>[5,6,8,4,3,2,7,1]=>[3,1,1,2,1]=>10011101=>4 [4,5,8,2,6,3,7,1]=>[5,4,1,7,3,6,2,8]=>[1,1,2,2,2]=>11101010=>5 [2,7,5,4,1,3,6,8]=>[7,2,4,5,8,6,3,1]=>[1,4,1,1,1]=>11000111=>2 [3,7,4,5,6,1,2,8]=>[6,2,5,4,3,8,7,1]=>[1,2,1,2,1,1]=>11011011=>4 [2,7,4,6,5,1,8,3]=>[7,2,5,3,4,8,1,6]=>[1,2,3,2]=>11010010=>5 [6,7,3,1,2,8,5,4]=>[3,2,6,8,7,1,4,5]=>[1,3,1,3]=>11001100=>3 [6,8,7,5,2,1,4,3]=>[3,1,2,4,7,8,5,6]=>[1,5,2]=>11000010=>3 [7,8,2,6,3,1,4,5]=>[2,1,7,3,6,8,5,4]=>[1,2,3,1,1]=>11010011=>4 [2,8,6,3,5,1,4,7]=>[7,1,3,6,4,8,5,2]=>[1,3,2,1,1]=>11001011=>4 [7,2,6,3,1,4,5,8]=>[2,7,3,6,8,5,4,1]=>[2,3,1,1,1]=>10100111=>4 [7,8,6,4,1,5,2,3]=>[2,1,3,5,8,4,7,6]=>[1,4,2,1]=>11000101=>4 [2,7,6,5,3,4,1,8]=>[7,2,3,4,6,5,8,1]=>[1,4,2,1]=>11000101=>4 [1,2,8,6,4,5,3,7]=>[8,7,1,3,5,4,6,2]=>[1,1,3,2,1]=>11100101=>4 [1,5,8,7,6,3,4,2]=>[8,4,1,2,3,6,5,7]=>[1,1,4,2]=>11100010=>3 [1,4,6,8,5,3,2,7]=>[8,5,3,1,4,6,7,2]=>[1,1,1,4,1]=>11110001=>2 [1,4,7,8,5,6,3,2]=>[8,5,2,1,4,3,6,7]=>[1,1,1,2,3]=>11110100=>3 [1,8,6,7,2,3,5,4]=>[8,1,3,2,7,6,4,5]=>[1,2,2,1,2]=>11010110=>5 [1,4,8,5,6,3,2,7]=>[8,5,1,4,3,6,7,2]=>[1,1,2,3,1]=>11101001=>4 [1,7,3,6,4,2,5,8]=>[8,2,6,3,5,7,4,1]=>[1,2,3,1,1]=>11010011=>4 [1,6,8,5,2,7,3,4]=>[8,3,1,4,7,2,6,5]=>[1,1,3,2,1]=>11100101=>4 [1,6,8,5,4,2,3,7]=>[8,3,1,4,5,7,6,2]=>[1,1,4,1,1]=>11100011=>2 [1,7,4,5,8,6,2,3]=>[8,2,5,4,1,3,7,6]=>[1,2,1,3,1]=>11011001=>4 [1,2,8,6,5,3,4,7]=>[8,7,1,3,4,6,5,2]=>[1,1,4,1,1]=>11100011=>2 [1,3,6,7,2,8,5,4]=>[8,6,3,2,7,1,4,5]=>[1,1,1,2,3]=>11110100=>3 [1,8,5,2,6,7,3,4]=>[8,1,4,7,3,2,6,5]=>[1,3,1,2,1]=>11001101=>4 [1,3,8,5,2,4,7,6]=>[8,6,1,4,7,5,2,3]=>[1,1,3,1,2]=>11100110=>3 [6,5,3,7,4,1,8,2]=>[3,4,6,2,5,8,1,7]=>[3,3,2]=>10010010=>5 [5,7,8,2,4,6,1,3]=>[4,2,1,7,5,3,8,6]=>[1,1,2,1,2,1]=>11101101=>4 [5,4,2,3,6,8,1,7]=>[4,5,7,6,3,1,8,2]=>[3,1,1,2,1]=>10011101=>4 [7,3,2,1,8,6,4,5]=>[2,6,7,8,1,3,5,4]=>[4,3,1]=>10001001=>4 [8,7,2,4,1,3,6,5]=>[1,2,7,5,8,6,3,4]=>[3,2,1,2]=>10010110=>5 [8,2,6,3,5,7,1,4]=>[1,7,3,6,4,2,8,5]=>[2,2,1,2,1]=>10101101=>6 [1,8,3,7,4,6,5,2]=>[8,1,6,2,5,3,4,7]=>[1,2,2,3]=>11010100=>5 [8,2,3,1,7,4,5,6]=>[1,7,6,8,2,5,4,3]=>[2,2,2,1,1]=>10101011=>6 [3,1,7,8,6,2,5,4]=>[6,8,2,1,3,7,4,5]=>[2,1,3,2]=>10110010=>5 [4,8,1,2,6,5,7,3]=>[5,1,8,7,3,4,2,6]=>[1,2,1,2,2]=>11011010=>5 [5,6,1,8,3,7,2,4]=>[4,3,8,1,6,2,7,5]=>[1,2,2,2,1]=>11010101=>6 [2,8,1,6,5,3,7,4]=>[7,1,8,3,4,6,2,5]=>[1,2,3,2]=>11010010=>5 [4,1,2,5,7,6,8,3]=>[5,8,7,4,2,3,1,6]=>[2,1,1,2,2]=>10111010=>5 [4,3,5,1,7,8,6,2]=>[5,6,4,8,2,1,3,7]=>[2,2,1,3]=>10101100=>5 [1,8,5,2,3,4,7,6]=>[8,1,4,7,6,5,2,3]=>[1,3,1,1,2]=>11001110=>3 [1,2,7,8,4,5,6,3]=>[8,7,2,1,5,4,3,6]=>[1,1,1,2,1,2]=>11110110=>3 [3,4,5,8,1,2,6,9,7]=>[7,6,5,2,9,8,4,1,3]=>[1,1,1,2,1,1,2]=>111101110=>3 [4,3,8,7,6,2,5,1]=>[5,6,1,2,3,7,4,8]=>[2,4,2]=>10100010=>5 [5,4,8,2,7,6,3,1]=>[4,5,1,7,2,3,6,8]=>[2,2,4]=>10101000=>5 [3,2,5,6,4,8,1,7]=>[6,7,4,3,5,1,8,2]=>[2,1,2,2,1]=>10110101=>6 [2,3,6,4,1,7,5,8]=>[7,6,3,5,8,2,4,1]=>[1,1,3,2,1]=>11100101=>4 [2,3,7,1,5,8,4,6]=>[7,6,2,8,4,1,5,3]=>[1,1,2,1,2,1]=>11101101=>4 [2,3,6,1,7,5,8,4]=>[7,6,3,8,2,4,1,5]=>[1,1,2,2,2]=>11101010=>5 [2,3,6,5,1,7,4,8]=>[7,6,3,4,8,2,5,1]=>[1,1,3,2,1]=>11100101=>4 [4,6,5,2,1,7,8,3]=>[5,3,4,7,8,2,1,6]=>[1,4,1,2]=>11000110=>3 [4,6,1,7,5,8,3,2]=>[5,3,8,2,4,1,6,7]=>[1,2,2,3]=>11010100=>5 [4,2,6,5,1,7,8,3]=>[5,7,3,4,8,2,1,6]=>[2,3,1,2]=>10100110=>5 [4,1,5,7,6,8,3,2]=>[5,8,4,2,3,1,6,7]=>[2,1,2,3]=>10110100=>5 [3,5,6,2,1,4,7,8]=>[6,4,3,7,8,5,2,1]=>[1,1,3,1,1,1]=>11100111=>2 [4,2,5,7,6,8,3,1]=>[5,7,4,2,3,1,6,8]=>[2,1,2,3]=>10110100=>5 [4,3,6,5,2,8,1,7]=>[5,6,3,4,7,1,8,2]=>[2,3,2,1]=>10100101=>6 [4,3,6,5,1,7,8,2]=>[5,6,3,4,8,2,1,7]=>[2,3,1,2]=>10100110=>5 [3,6,4,5,2,1,7,8]=>[6,3,5,4,7,8,2,1]=>[1,2,3,1,1]=>11010011=>4 [3,5,6,4,2,8,1,7]=>[6,4,3,5,7,1,8,2]=>[1,1,3,2,1]=>11100101=>4 [4,6,5,3,1,7,8,2]=>[5,3,4,6,8,2,1,7]=>[1,4,1,2]=>11000110=>3 [5,8,1,4,2,3,6,7]=>[4,1,8,5,7,6,3,2]=>[1,2,2,1,1,1]=>11010111=>4 [4,5,8,2,3,1,6,7]=>[5,4,1,7,6,8,3,2]=>[1,1,2,2,1,1]=>11101011=>4 [3,5,4,8,1,7,2,6]=>[6,4,5,1,8,2,7,3]=>[1,2,2,2,1]=>11010101=>6 [4,7,2,8,3,1,6,5]=>[5,2,7,1,6,8,3,4]=>[1,2,3,2]=>11010010=>5 [1,2,5,6,8,3,7,4]=>[8,7,4,3,1,6,2,5]=>[1,1,1,1,2,2]=>11111010=>3 [7,4,8,1,5,2,6,3]=>[2,5,1,8,4,7,3,6]=>[2,2,2,2]=>10101010=>7 [8,3,2,1,6,5,7,4]=>[1,6,7,8,3,4,2,5]=>[4,2,2]=>10001010=>5 [1,2,5,6,8,4,7,3]=>[8,7,4,3,1,5,2,6]=>[1,1,1,1,2,2]=>11111010=>3 [1,5,6,8,4,7,2,3]=>[8,4,3,1,5,2,7,6]=>[1,1,1,2,2,1]=>11110101=>4 [5,6,8,1,2,4,7,3]=>[4,3,1,8,7,5,2,6]=>[1,1,2,1,1,2]=>11101110=>3 [6,8,1,4,5,7,2,3]=>[3,1,8,5,4,2,7,6]=>[1,2,1,1,2,1]=>11011101=>4 [4,3,5,1,8,6,7,2]=>[5,6,4,8,1,3,2,7]=>[2,2,2,2]=>10101010=>7 [1,3,5,6,8,4,7,2]=>[8,6,4,3,1,5,2,7]=>[1,1,1,1,2,2]=>11111010=>3 [5,6,8,2,3,4,7,1]=>[4,3,1,7,6,5,2,8]=>[1,1,2,1,1,2]=>11101110=>3 [6,5,1,2,4,8,7,3]=>[3,4,8,7,5,1,2,6]=>[3,1,1,3]=>10011100=>3 [5,8,7,2,1,3,6,4]=>[4,1,2,7,8,6,3,5]=>[1,4,1,2]=>11000110=>3 [5,1,7,2,8,6,3,4]=>[4,8,2,7,1,3,6,5]=>[2,2,3,1]=>10101001=>6 [5,8,6,3,2,1,4,7]=>[4,1,3,6,7,8,5,2]=>[1,5,1,1]=>11000011=>2 [8,7,1,6,3,5,4,2]=>[1,2,8,3,6,4,5,7]=>[3,2,3]=>10010100=>5 [8,6,7,1,2,5,3,4]=>[1,3,2,8,7,4,6,5]=>[2,2,1,2,1]=>10101101=>6 [1,5,6,4,2,8,7,3]=>[8,4,3,5,7,1,2,6]=>[1,1,3,3]=>11100100=>3 [3,2,8,1,7,5,6,4]=>[6,7,1,8,2,4,3,5]=>[2,2,2,2]=>10101010=>7 [8,4,3,1,7,5,6,2]=>[1,5,6,8,2,4,3,7]=>[4,2,2]=>10001010=>5 [6,1,7,8,4,2,3,5]=>[3,8,2,1,5,7,6,4]=>[2,1,3,1,1]=>10110011=>4 [7,4,3,1,8,5,2,6]=>[2,5,6,8,1,4,7,3]=>[4,3,1]=>10001001=>4 [7,8,1,6,3,4,5,2]=>[2,1,8,3,6,5,4,7]=>[1,2,2,1,2]=>11010110=>5 [6,8,1,7,3,4,2,5]=>[3,1,8,2,6,5,7,4]=>[1,2,2,2,1]=>11010101=>6 [1,5,6,7,8,9,2,3,4]=>[9,5,4,3,2,1,8,7,6]=>[1,1,1,1,1,2,1,1]=>111111011=>2 [3,4,2,1,5,6,7,8,9]=>[7,6,8,9,5,4,3,2,1]=>[1,3,1,1,1,1,1]=>110011111=>2 [4,3,1,2,5,6,7,8,9]=>[6,7,9,8,5,4,3,2,1]=>[3,1,1,1,1,1,1]=>100111111=>2 [3,4,2,5,1,6,7,8,9]=>[7,6,8,5,9,4,3,2,1]=>[1,2,2,1,1,1,1]=>110101111=>4 [5,3,1,2,4,6,7,8,9]=>[5,7,9,8,6,4,3,2,1]=>[3,1,1,1,1,1,1]=>100111111=>2 [4,6,5,3,8,2,7,1]=>[5,3,4,6,1,7,2,8]=>[1,3,2,2]=>11001010=>5 [4,5,6,3,8,1,7,2]=>[5,4,3,6,1,8,2,7]=>[1,1,2,2,2]=>11101010=>5 [1,3,7,6,4,5,8,2]=>[8,6,2,3,5,4,1,7]=>[1,1,3,1,2]=>11100110=>3 [3,2,5,8,4,7,6,1]=>[6,7,4,1,5,2,3,8]=>[2,1,2,3]=>10110100=>5 [1,4,5,3,8,6,2,7]=>[8,5,4,6,1,3,7,2]=>[1,1,2,3,1]=>11101001=>4 [1,3,5,8,4,7,6,2]=>[8,6,4,1,5,2,3,7]=>[1,1,1,2,3]=>11110100=>3 [7,8,3,5,2,1,6,4]=>[2,1,6,4,7,8,3,5]=>[1,2,3,2]=>11010010=>5 [6,3,7,5,2,4,1,8]=>[3,6,2,4,7,5,8,1]=>[2,3,2,1]=>10100101=>6 [1,8,2,4,5,7,3,6]=>[8,1,7,5,4,2,6,3]=>[1,2,1,1,2,1]=>11011101=>4 [6,2,4,5,7,3,1,8]=>[3,7,5,4,2,6,8,1]=>[2,1,1,3,1]=>10111001=>4 [7,8,1,5,6,4,3,2]=>[2,1,8,4,3,5,6,7]=>[1,2,1,4]=>11011000=>3 [6,1,7,4,5,3,2,8]=>[3,8,2,5,4,6,7,1]=>[2,2,3,1]=>10101001=>6 [6,3,7,5,1,4,2,8]=>[3,6,2,4,8,5,7,1]=>[2,3,2,1]=>10100101=>6 [3,8,5,7,4,2,1,6]=>[6,1,4,2,5,7,8,3]=>[1,2,4,1]=>11010001=>4 [1,3,8,2,4,6,7,5]=>[8,6,1,7,5,3,2,4]=>[1,1,2,1,1,2]=>11101110=>3 [6,1,7,3,4,2,5,8]=>[3,8,2,6,5,7,4,1]=>[2,2,2,1,1]=>10101011=>6 [6,4,7,2,1,3,5,8]=>[3,5,2,7,8,6,4,1]=>[2,3,1,1,1]=>10100111=>4 [3,8,5,4,7,2,6,1]=>[6,1,4,5,2,7,3,8]=>[1,3,2,2]=>11001010=>5 [4,8,5,3,7,1,6,2]=>[5,1,4,6,2,8,3,7]=>[1,3,2,2]=>11001010=>5 [3,8,2,6,5,7,4,1]=>[6,1,7,3,4,2,5,8]=>[1,2,2,3]=>11010100=>5 [3,1,7,2,5,8,6,4]=>[6,8,2,7,4,1,3,5]=>[2,2,1,3]=>10101100=>5 [4,3,7,8,1,6,5,2]=>[5,6,2,1,8,3,4,7]=>[2,1,2,3]=>10110100=>5 [2,8,7,6,3,5,1,4]=>[7,1,2,3,6,4,8,5]=>[1,4,2,1]=>11000101=>4 [2,8,4,7,6,5,1,3]=>[7,1,5,2,3,4,8,6]=>[1,2,4,1]=>11010001=>4 [2,8,7,1,5,6,4,3]=>[7,1,2,8,4,3,5,6]=>[1,3,1,3]=>11001100=>3 [3,5,6,2,8,1,7,4]=>[6,4,3,7,1,8,2,5]=>[1,1,2,2,2]=>11101010=>5 [3,1,4,6,8,2,7,5]=>[6,8,5,3,1,7,2,4]=>[2,1,1,2,2]=>10111010=>5 [4,1,5,7,3,8,2,6]=>[5,8,4,2,6,1,7,3]=>[2,1,2,2,1]=>10110101=>6 [7,2,8,5,4,3,6,1]=>[2,7,1,4,5,6,3,8]=>[2,4,2]=>10100010=>5 [7,1,6,8,2,5,3,4]=>[2,8,3,1,7,4,6,5]=>[2,1,2,2,1]=>10110101=>6 [2,6,5,7,8,4,1,3]=>[7,3,4,2,1,5,8,6]=>[1,2,1,3,1]=>11011001=>4 [1,6,5,7,4,2,3,8]=>[8,3,4,2,5,7,6,1]=>[1,2,3,1,1]=>11010011=>4 [3,4,7,5,2,1,8,6]=>[6,5,2,4,7,8,1,3]=>[1,1,4,2]=>11100010=>3 [3,6,7,5,8,4,1,2]=>[6,3,2,4,1,5,8,7]=>[1,1,2,3,1]=>11101001=>4 [3,4,7,2,5,6,8,1]=>[6,5,2,7,4,3,1,8]=>[1,1,2,1,1,2]=>11101110=>3 [7,2,8,4,5,6,3,1]=>[2,7,1,5,4,3,6,8]=>[2,2,1,3]=>10101100=>5 [6,2,3,8,5,4,7,1]=>[3,7,6,1,4,5,2,8]=>[2,1,3,2]=>10110010=>5 [5,4,3,1,2,6,7,8,9]=>[5,6,7,9,8,4,3,2,1]=>[4,1,1,1,1,1]=>100011111=>2 [6,5,4,3,1,2,7,8,9]=>[4,5,6,7,9,8,3,2,1]=>[5,1,1,1,1]=>100001111=>2 [5,1,4,7,8,6,3,2]=>[4,8,5,2,1,3,6,7]=>[2,1,1,4]=>10111000=>3 [5,7,8,6,4,1,3,2]=>[4,2,1,3,5,8,6,7]=>[1,1,4,2]=>11100010=>3 [5,1,4,8,6,7,3,2]=>[4,8,5,1,3,2,6,7]=>[2,1,2,3]=>10110100=>5 [3,8,6,1,4,5,7,2]=>[6,1,3,8,5,4,2,7]=>[1,3,1,1,2]=>11001110=>3 [2,7,4,1,3,8,5,6]=>[7,2,5,8,6,1,4,3]=>[1,3,1,2,1]=>11001101=>4 [6,1,4,8,5,7,2,3]=>[3,8,5,1,4,2,7,6]=>[2,1,2,2,1]=>10110101=>6 [2,8,5,1,4,6,7,3]=>[7,1,4,8,5,3,2,6]=>[1,3,1,1,2]=>11001110=>3 [2,3,1,6,5,8,4,7]=>[7,6,8,3,4,1,5,2]=>[1,2,2,2,1]=>11010101=>6 [7,5,8,6,4,1,3,2]=>[2,4,1,3,5,8,6,7]=>[2,4,2]=>10100010=>5 [2,7,6,3,8,5,1,4]=>[7,2,3,6,1,4,8,5]=>[1,3,3,1]=>11001001=>4 [2,6,3,7,8,5,1,4]=>[7,3,6,2,1,4,8,5]=>[1,2,1,3,1]=>11011001=>4 [2,3,1,7,8,4,6,5]=>[7,6,8,2,1,5,3,4]=>[1,2,1,2,2]=>11011010=>5 [2,3,1,8,4,6,5,7]=>[7,6,8,1,5,3,4,2]=>[1,2,2,2,1]=>11010101=>6 [2,3,1,7,6,8,4,5]=>[7,6,8,2,3,1,5,4]=>[1,2,2,2,1]=>11010101=>6 [2,3,1,8,4,6,7,5]=>[7,6,8,1,5,3,2,4]=>[1,2,2,1,2]=>11010110=>5 [2,7,3,6,8,5,1,4]=>[7,2,6,3,1,4,8,5]=>[1,2,1,3,1]=>11011001=>4 [5,2,3,1,8,4,6,7]=>[4,7,6,8,1,5,3,2]=>[2,2,2,1,1]=>10101011=>6 [4,2,3,5,1,8,6,7]=>[5,7,6,4,8,1,3,2]=>[2,1,2,2,1]=>10110101=>6 [3,2,1,9,4,5,6,7,8]=>[7,8,9,1,6,5,4,3,2]=>[3,2,1,1,1,1]=>100101111=>4 [5,8,7,2,6,4,1,3]=>[4,1,2,7,3,5,8,6]=>[1,3,3,1]=>11001001=>4 [5,8,7,3,6,2,1,4]=>[4,1,2,6,3,7,8,5]=>[1,3,3,1]=>11001001=>4 [6,8,5,1,7,4,3,2]=>[3,1,4,8,2,5,6,7]=>[1,3,4]=>11001000=>3 [6,8,5,2,7,4,1,3]=>[3,1,4,7,2,5,8,6]=>[1,3,3,1]=>11001001=>4 [6,8,5,3,7,1,4,2]=>[3,1,4,6,2,8,5,7]=>[1,3,2,2]=>11001010=>5 [6,8,5,4,1,7,3,2]=>[3,1,4,5,8,2,6,7]=>[1,4,3]=>11000100=>3 [7,3,8,6,5,2,1,4]=>[2,6,1,3,4,7,8,5]=>[2,5,1]=>10100001=>4 [7,4,8,6,3,2,1,5]=>[2,5,1,3,6,7,8,4]=>[2,5,1]=>10100001=>4 [7,5,8,1,6,4,3,2]=>[2,4,1,8,3,5,6,7]=>[2,2,4]=>10101000=>5 [7,5,8,2,6,4,1,3]=>[2,4,1,7,3,5,8,6]=>[2,2,3,1]=>10101001=>6 [7,6,2,8,5,4,1,3]=>[2,3,7,1,4,5,8,6]=>[3,4,1]=>10010001=>4 [6,5,4,2,1,8,7,3]=>[3,4,5,7,8,1,2,6]=>[5,3]=>10000100=>3 [6,5,4,2,8,1,7,3]=>[3,4,5,7,1,8,2,6]=>[4,2,2]=>10001010=>5 [6,3,2,8,1,7,5,4]=>[3,6,7,1,8,2,4,5]=>[3,2,3]=>10010100=>5 [2,6,8,7,1,3,5,4]=>[7,3,1,2,8,6,4,5]=>[1,1,3,1,2]=>11100110=>3 [5,3,8,7,6,2,1,4]=>[4,6,1,2,3,7,8,5]=>[2,5,1]=>10100001=>4 [3,7,6,1,4,5,2,8]=>[6,2,3,8,5,4,7,1]=>[1,3,1,2,1]=>11001101=>4 [4,3,1,7,6,2,5,8]=>[5,6,8,2,3,7,4,1]=>[3,3,1,1]=>10010011=>4 [4,5,3,1,2,8,6,7]=>[5,4,6,8,7,1,3,2]=>[1,3,1,2,1]=>11001101=>4 [2,4,5,3,1,8,6,7]=>[7,5,4,6,8,1,3,2]=>[1,1,3,2,1]=>11100101=>4 [4,1,3,7,5,2,6,8]=>[5,8,6,2,4,7,3,1]=>[2,1,3,1,1]=>10110011=>4 [4,1,6,3,2,7,5,8]=>[5,8,3,6,7,2,4,1]=>[2,3,2,1]=>10100101=>6 [7,5,4,1,3,2,6,8]=>[2,4,5,8,6,7,3,1]=>[4,2,1,1]=>10001011=>4 [2,5,7,4,1,3,6,8]=>[7,4,2,5,8,6,3,1]=>[1,1,3,1,1,1]=>11100111=>2 [5,7,4,1,3,2,6,8]=>[4,2,5,8,6,7,3,1]=>[1,3,2,1,1]=>11001011=>4 [5,2,3,7,4,1,6,8]=>[4,7,6,2,5,8,3,1]=>[2,1,3,1,1]=>10110011=>4 [4,5,1,6,3,2,7,8]=>[5,4,8,3,6,7,2,1]=>[1,2,3,1,1]=>11010011=>4 [5,1,6,3,2,4,7,8]=>[4,8,3,6,7,5,2,1]=>[2,3,1,1,1]=>10100111=>4 [4,2,5,1,6,3,7,8]=>[5,7,4,8,3,6,2,1]=>[2,2,2,1,1]=>10101011=>6 [5,1,6,2,4,3,7,8]=>[4,8,3,7,5,6,2,1]=>[2,2,2,1,1]=>10101011=>6 [3,5,4,2,1,8,6,7]=>[6,4,5,7,8,1,3,2]=>[1,4,2,1]=>11000101=>4 [5,3,4,8,7,6,2,1]=>[4,6,5,1,2,3,7,8]=>[2,1,5]=>10110000=>3 [8,3,1,6,7,5,4,2]=>[1,6,8,3,2,4,5,7]=>[3,1,4]=>10011000=>3 [8,4,6,5,7,2,3,1]=>[1,5,3,4,2,7,6,8]=>[2,2,2,2]=>10101010=>7 [1,8,2,6,7,4,5,3]=>[8,1,7,3,2,5,4,6]=>[1,2,1,2,2]=>11011010=>5 [8,5,7,2,4,3,6,1]=>[1,4,2,7,5,6,3,8]=>[2,2,2,2]=>10101010=>7 [1,2,8,3,4,7,6,5]=>[8,7,1,6,5,2,3,4]=>[1,1,2,1,3]=>11101100=>3 [6,8,5,2,7,1,3,4]=>[3,1,4,7,2,8,6,5]=>[1,3,2,1,1]=>11001011=>4 [7,6,4,5,2,1,8,3]=>[2,3,5,4,7,8,1,6]=>[3,3,2]=>10010010=>5 [8,2,4,7,6,3,1,5]=>[1,7,5,2,3,6,8,4]=>[2,1,4,1]=>10110001=>4 [7,3,8,5,4,2,1,6]=>[2,6,1,4,5,7,8,3]=>[2,5,1]=>10100001=>4 [6,3,4,7,2,8,5,1]=>[3,6,5,2,7,1,4,8]=>[2,1,2,3]=>10110100=>5 [8,1,7,3,6,4,2,5]=>[1,8,2,6,3,5,7,4]=>[2,2,3,1]=>10101001=>6 [7,1,8,5,3,4,2,6]=>[2,8,1,4,6,5,7,3]=>[2,3,2,1]=>10100101=>6 [6,8,4,3,1,5,2,7]=>[3,1,5,6,8,4,7,2]=>[1,4,2,1]=>11000101=>4 [5,6,4,1,8,2,3,7]=>[4,3,5,8,1,7,6,2]=>[1,3,2,1,1]=>11001011=>4 [1,4,5,8,3,2,6,7]=>[8,5,4,1,6,7,3,2]=>[1,1,1,3,1,1]=>11110011=>2 [1,5,2,4,7,8,6,3]=>[8,4,7,5,2,1,3,6]=>[1,2,1,1,3]=>11011100=>3 [5,2,7,4,3,8,6,1]=>[4,7,2,5,6,1,3,8]=>[2,3,3]=>10100100=>5 [2,7,3,4,8,5,6,1]=>[7,2,6,5,1,4,3,8]=>[1,2,1,2,2]=>11011010=>5 [2,7,4,5,3,8,6,1]=>[7,2,5,4,6,1,3,8]=>[1,2,2,3]=>11010100=>5 [4,6,7,3,1,2,8,5]=>[5,3,2,6,8,7,1,4]=>[1,1,3,1,2]=>11100110=>3 [6,2,3,7,4,5,8,1]=>[3,7,6,2,5,4,1,8]=>[2,1,2,1,2]=>10110110=>5 [1,6,3,2,7,5,8,4]=>[8,3,6,7,2,4,1,5]=>[1,3,2,2]=>11001010=>5 [7,3,5,2,6,8,1,4]=>[2,6,4,7,3,1,8,5]=>[2,2,1,2,1]=>10101101=>6 [6,4,2,7,1,5,8,3]=>[3,5,7,2,8,4,1,6]=>[3,2,1,2]=>10010110=>5 [2,5,3,6,4,7,8,1]=>[7,4,6,3,5,2,1,8]=>[1,2,2,1,2]=>11010110=>5 [4,2,5,3,6,7,8,1]=>[5,7,4,6,3,2,1,8]=>[2,2,1,1,2]=>10101110=>5 [1,8,7,2,5,4,3,6]=>[8,1,2,7,4,5,6,3]=>[1,3,3,1]=>11001001=>4 [1,5,4,2,7,3,6,8]=>[8,4,5,7,2,6,3,1]=>[1,3,2,1,1]=>11001011=>4 [1,5,4,2,8,7,3,6]=>[8,4,5,7,1,2,6,3]=>[1,3,3,1]=>11001001=>4 [1,2,8,3,6,5,4,7]=>[8,7,1,6,3,4,5,2]=>[1,1,2,3,1]=>11101001=>4 [1,4,7,3,2,8,6,5]=>[8,5,2,6,7,1,3,4]=>[1,1,3,3]=>11100100=>3 [1,6,8,4,3,2,5,7]=>[8,3,1,5,6,7,4,2]=>[1,1,4,1,1]=>11100011=>2 [1,7,3,2,8,4,6,5]=>[8,2,6,7,1,5,3,4]=>[1,3,2,2]=>11001010=>5 [1,6,5,2,8,4,7,3]=>[8,3,4,7,1,5,2,6]=>[1,3,2,2]=>11001010=>5 [1,8,3,7,2,4,6,5]=>[8,1,6,2,7,5,3,4]=>[1,2,2,1,2]=>11010110=>5 [5,4,2,8,7,6,1,3]=>[4,5,7,1,2,3,8,6]=>[3,4,1]=>10010001=>4 [8,6,3,2,5,7,4,1]=>[1,3,6,7,4,2,5,8]=>[4,1,3]=>10001100=>3 [7,3,2,1,6,5,8,4]=>[2,6,7,8,3,4,1,5]=>[4,2,2]=>10001010=>5 [7,3,2,6,1,5,8,4]=>[2,6,7,3,8,4,1,5]=>[3,2,1,2]=>10010110=>5 [7,6,3,5,2,8,1,4]=>[2,3,6,4,7,1,8,5]=>[3,2,2,1]=>10010101=>6 [6,8,5,2,7,1,4,3]=>[3,1,4,7,2,8,5,6]=>[1,3,2,2]=>11001010=>5 [6,8,2,5,1,7,4,3]=>[3,1,7,4,8,2,5,6]=>[1,2,2,3]=>11010100=>5 [6,7,2,1,5,8,3,4]=>[3,2,7,8,4,1,6,5]=>[1,3,1,2,1]=>11001101=>4 [6,7,5,2,8,1,3,4]=>[3,2,4,7,1,8,6,5]=>[1,3,2,1,1]=>11001011=>4 [5,6,8,1,7,4,2,3]=>[4,3,1,8,2,5,7,6]=>[1,1,2,3,1]=>11101001=>4 [6,8,5,7,2,1,4,3]=>[3,1,4,2,7,8,5,6]=>[1,2,3,2]=>11010010=>5 [4,1,8,2,5,7,6,3]=>[5,8,1,7,4,2,3,6]=>[2,2,1,3]=>10101100=>5 [6,5,8,2,7,4,1,3]=>[3,4,1,7,2,5,8,6]=>[2,2,3,1]=>10101001=>6 [6,2,5,7,3,1,8,4]=>[3,7,4,2,6,8,1,5]=>[2,1,3,2]=>10110010=>5 [8,4,6,5,3,2,7,1]=>[1,5,3,4,6,7,2,8]=>[2,4,2]=>10100010=>5 [6,2,1,7,5,8,4,3]=>[3,7,8,2,4,1,5,6]=>[3,2,3]=>10010100=>5 [8,6,3,1,5,2,7,4]=>[1,3,6,8,4,7,2,5]=>[4,2,2]=>10001010=>5 [1,6,4,8,5,3,7,2]=>[8,3,5,1,4,6,2,7]=>[1,2,3,2]=>11010010=>5 [2,8,1,6,5,4,7,3]=>[7,1,8,3,4,5,2,6]=>[1,2,3,2]=>11010010=>5 [3,5,6,2,8,7,1,4]=>[6,4,3,7,1,2,8,5]=>[1,1,2,3,1]=>11101001=>4 [8,2,7,5,1,3,6,4]=>[1,7,2,4,8,6,3,5]=>[2,3,1,2]=>10100110=>5 [5,2,8,6,1,3,7,4]=>[4,7,1,3,8,6,2,5]=>[2,3,1,2]=>10100110=>5 [1,6,5,3,4,7,8,2]=>[8,3,4,6,5,2,1,7]=>[1,3,1,1,2]=>11001110=>3 [2,5,1,7,6,4,8,3]=>[7,4,8,2,3,5,1,6]=>[1,2,3,2]=>11010010=>5 [4,2,6,7,8,1,3,5]=>[5,7,3,2,1,8,6,4]=>[2,1,1,2,1,1]=>10111011=>4 [5,1,8,3,6,2,7,4]=>[4,8,1,6,3,7,2,5]=>[2,2,2,2]=>10101010=>7 [5,1,7,2,6,4,8,3]=>[4,8,2,7,3,5,1,6]=>[2,2,2,2]=>10101010=>7 [7,4,5,2,6,3,8,1]=>[2,5,4,7,3,6,1,8]=>[2,2,2,2]=>10101010=>7 [2,5,1,8,7,6,4,3]=>[7,4,8,1,2,3,5,6]=>[1,2,5]=>11010000=>3 [4,7,6,1,3,5,8,2]=>[5,2,3,8,6,4,1,7]=>[1,3,1,1,2]=>11001110=>3 [4,1,7,6,2,5,8,3]=>[5,8,2,3,7,4,1,6]=>[2,3,1,2]=>10100110=>5 [6,5,4,1,3,7,8,2]=>[3,4,5,8,6,2,1,7]=>[4,1,1,2]=>10001110=>3 [4,2,3,6,7,8,1,5]=>[5,7,6,3,2,1,8,4]=>[2,1,1,1,2,1]=>10111101=>4 [2,7,6,4,1,5,8,3]=>[7,2,3,5,8,4,1,6]=>[1,4,1,2]=>11000110=>3 [2,4,3,6,7,8,1,5]=>[7,5,6,3,2,1,8,4]=>[1,2,1,1,2,1]=>11011101=>4 [4,1,7,6,8,2,3,5]=>[5,8,2,3,1,7,6,4]=>[2,2,2,1,1]=>10101011=>6 [7,5,2,4,1,8,3,6]=>[2,4,7,5,8,1,6,3]=>[3,2,2,1]=>10010101=>6 [5,2,1,3,7,8,4,6]=>[4,7,8,6,2,1,5,3]=>[3,1,1,2,1]=>10011101=>4 [8,4,2,6,1,7,3,5]=>[1,5,7,3,8,2,6,4]=>[3,2,2,1]=>10010101=>6 [8,5,1,7,6,2,4,3]=>[1,4,8,2,3,7,5,6]=>[3,3,2]=>10010010=>5 [7,2,1,3,8,4,5,6]=>[2,7,8,6,1,5,4,3]=>[3,1,2,1,1]=>10011011=>4 [7,1,2,8,5,4,6,3]=>[2,8,7,1,4,5,3,6]=>[2,1,3,2]=>10110010=>5 [8,2,1,6,3,7,4,5]=>[1,7,8,3,6,2,5,4]=>[3,2,2,1]=>10010101=>6 [7,1,6,8,2,4,3,5]=>[2,8,3,1,7,5,6,4]=>[2,1,2,2,1]=>10110101=>6 [4,8,1,7,3,2,6,5]=>[5,1,8,2,6,7,3,4]=>[1,2,3,2]=>11010010=>5 [4,7,1,8,3,2,6,5]=>[5,2,8,1,6,7,3,4]=>[1,2,3,2]=>11010010=>5 [7,8,5,2,6,3,1,4]=>[2,1,4,7,3,6,8,5]=>[1,3,3,1]=>11001001=>4 [5,1,8,6,7,4,2,3]=>[4,8,1,3,2,5,7,6]=>[2,2,3,1]=>10101001=>6 [4,7,1,6,3,8,2,5]=>[5,2,8,3,6,1,7,4]=>[1,2,2,2,1]=>11010101=>6 [6,5,1,3,7,8,2,4]=>[3,4,8,6,2,1,7,5]=>[3,1,1,2,1]=>10011101=>4 [7,2,1,4,3,5,8,6]=>[2,7,8,5,6,4,1,3]=>[3,2,1,2]=>10010110=>5 [6,1,2,7,4,8,3,5]=>[3,8,7,2,5,1,6,4]=>[2,1,2,2,1]=>10110101=>6 [7,2,1,3,5,4,8,6]=>[2,7,8,6,4,5,1,3]=>[3,1,2,2]=>10011010=>5 [4,1,2,8,6,5,7,3]=>[5,8,7,1,3,4,2,6]=>[2,1,3,2]=>10110010=>5 [5,1,2,7,8,6,3,4]=>[4,8,7,2,1,3,6,5]=>[2,1,1,3,1]=>10111001=>4 [6,1,2,4,3,7,8,5]=>[3,8,7,5,6,2,1,4]=>[2,1,2,1,2]=>10110110=>5 [8,1,5,4,2,3,6,7]=>[1,8,4,5,7,6,3,2]=>[2,3,1,1,1]=>10100111=>4 [7,1,2,4,6,3,8,5]=>[2,8,7,5,3,6,1,4]=>[2,1,1,2,2]=>10111010=>5 [7,1,2,6,5,3,8,4]=>[2,8,7,3,4,6,1,5]=>[2,1,3,2]=>10110010=>5 [7,5,6,1,2,4,8,3]=>[2,4,3,8,7,5,1,6]=>[2,2,1,1,2]=>10101110=>5 [7,1,4,5,2,3,6,8]=>[2,8,5,4,7,6,3,1]=>[2,1,2,1,1,1]=>10110111=>4 [6,1,4,8,7,2,3,5]=>[3,8,5,1,2,7,6,4]=>[2,1,3,1,1]=>10110011=>4 [6,1,8,5,7,2,3,4]=>[3,8,1,4,2,7,6,5]=>[2,2,2,1,1]=>10101011=>6 [1,6,7,5,8,3,4,2]=>[8,3,2,4,1,6,5,7]=>[1,1,2,2,2]=>11101010=>5 [6,1,7,5,8,2,3,4]=>[3,8,2,4,1,7,6,5]=>[2,2,2,1,1]=>10101011=>6 [6,1,4,7,8,2,3,5]=>[3,8,5,2,1,7,6,4]=>[2,1,1,2,1,1]=>10111011=>4 [8,1,2,3,7,5,4,6]=>[1,8,7,6,2,4,5,3]=>[2,1,1,3,1]=>10111001=>4 [5,8,6,1,2,4,7,3]=>[4,1,3,8,7,5,2,6]=>[1,3,1,1,2]=>11001110=>3 [1,6,8,7,5,3,4,2]=>[8,3,1,2,4,6,5,7]=>[1,1,4,2]=>11100010=>3 [6,1,8,7,5,2,3,4]=>[3,8,1,2,4,7,6,5]=>[2,4,1,1]=>10100011=>4 [8,3,1,2,4,6,5,7]=>[1,6,8,7,5,3,4,2]=>[3,1,1,2,1]=>10011101=>4 [8,3,1,2,4,5,7,6]=>[1,6,8,7,5,4,2,3]=>[3,1,1,1,2]=>10011110=>3 [6,3,1,2,4,7,5,8]=>[3,6,8,7,5,2,4,1]=>[3,1,1,2,1]=>10011101=>4 [6,7,1,4,2,3,5,8]=>[3,2,8,5,7,6,4,1]=>[1,2,2,1,1,1]=>11010111=>4 [6,1,7,4,8,2,3,5]=>[3,8,2,5,1,7,6,4]=>[2,2,2,1,1]=>10101011=>6 [6,7,8,5,1,2,4,3]=>[3,2,1,4,8,7,5,6]=>[1,1,3,1,2]=>11100110=>3 [8,6,5,4,3,2,7,9,1]=>[2,4,5,6,7,8,3,1,9]=>[6,1,2]=>100000110=>3 [9,6,5,4,3,2,7,1,8]=>[1,4,5,6,7,8,3,9,2]=>[6,2,1]=>100000101=>4 [4,3,8,5,6,2,7,1]=>[5,6,1,4,3,7,2,8]=>[2,2,2,2]=>10101010=>7 [4,3,8,6,7,2,5,1]=>[5,6,1,3,2,7,4,8]=>[2,2,2,2]=>10101010=>7 [7,6,8,1,5,3,4,2]=>[2,3,1,8,4,6,5,7]=>[2,2,2,2]=>10101010=>7 [7,4,6,1,5,3,8,2]=>[2,5,3,8,4,6,1,7]=>[2,2,2,2]=>10101010=>7 [6,1,8,3,7,4,5,2]=>[3,8,1,6,2,5,4,7]=>[2,2,2,2]=>10101010=>7 [6,3,8,1,7,2,5,4]=>[3,6,1,8,2,7,4,5]=>[2,2,2,2]=>10101010=>7 [8,3,4,2,7,1,6,5]=>[1,6,5,7,2,8,3,4]=>[2,2,2,2]=>10101010=>7 [6,1,8,5,7,3,4,2]=>[3,8,1,4,2,6,5,7]=>[2,2,2,2]=>10101010=>7 [6,2,5,4,7,1,8,3]=>[3,7,4,5,2,8,1,6]=>[2,2,2,2]=>10101010=>7 [2,6,3,4,8,7,5,1]=>[7,3,6,5,1,2,4,8]=>[1,2,1,4]=>11011000=>3 [2,7,4,5,1,8,3,6]=>[7,2,5,4,8,1,6,3]=>[1,2,2,2,1]=>11010101=>6 [8,4,5,7,6,1,2,3]=>[1,5,4,2,3,8,7,6]=>[2,1,3,1,1]=>10110011=>4 [8,4,5,7,1,3,6,2]=>[1,5,4,2,8,6,3,7]=>[2,1,2,1,2]=>10110110=>5 [8,1,3,4,6,7,5,2]=>[1,8,6,5,3,2,4,7]=>[2,1,1,1,3]=>10111100=>3 [8,7,6,2,3,5,4,1]=>[1,2,3,7,6,4,5,8]=>[4,1,3]=>10001100=>3 [8,3,6,7,5,1,2,4]=>[1,6,3,2,4,8,7,5]=>[2,1,3,1,1]=>10110011=>4 [8,2,1,6,5,7,4,3]=>[1,7,8,3,4,2,5,6]=>[3,2,3]=>10010100=>5 [2,7,8,6,1,5,3,4]=>[7,2,1,3,8,4,6,5]=>[1,1,3,2,1]=>11100101=>4 [4,6,8,2,3,5,1,7]=>[5,3,1,7,6,4,8,2]=>[1,1,2,1,2,1]=>11101101=>4 [6,8,2,1,3,5,4,7]=>[3,1,7,8,6,4,5,2]=>[1,3,1,2,1]=>11001101=>4 [3,5,1,6,4,8,2,7]=>[6,4,8,3,5,1,7,2]=>[1,2,2,2,1]=>11010101=>6 [3,5,8,6,2,1,4,7]=>[6,4,1,3,7,8,5,2]=>[1,1,4,1,1]=>11100011=>2 [4,8,2,5,6,1,3,7]=>[5,1,7,4,3,8,6,2]=>[1,2,1,2,1,1]=>11011011=>4 [5,3,8,4,2,7,6,1]=>[4,6,1,5,7,2,3,8]=>[2,3,3]=>10100100=>5 [8,7,2,4,6,3,1,5]=>[1,2,7,5,3,6,8,4]=>[3,1,3,1]=>10011001=>4 [7,8,3,4,6,5,2,1]=>[2,1,6,5,3,4,7,8]=>[1,2,1,4]=>11011000=>3 [8,7,3,6,5,2,4,1]=>[1,2,6,3,4,7,5,8]=>[3,3,2]=>10010010=>5 [3,1,2,8,6,5,7,4]=>[6,8,7,1,3,4,2,5]=>[2,1,3,2]=>10110010=>5 [8,7,1,4,5,3,6,2]=>[1,2,8,5,4,6,3,7]=>[3,1,2,2]=>10011010=>5 [2,8,7,4,6,3,1,5]=>[7,1,2,5,3,6,8,4]=>[1,3,3,1]=>11001001=>4 [8,3,4,1,2,5,7,6]=>[1,6,5,8,7,4,2,3]=>[2,2,1,1,2]=>10101110=>5 [8,4,1,3,2,5,7,6]=>[1,5,8,6,7,4,2,3]=>[3,2,1,2]=>10010110=>5 [7,3,8,6,2,1,4,5]=>[2,6,1,3,7,8,5,4]=>[2,4,1,1]=>10100011=>4 [7,2,8,4,6,5,1,3]=>[2,7,1,5,3,4,8,6]=>[2,2,3,1]=>10101001=>6 [5,8,6,4,7,2,3,1]=>[4,1,3,5,2,7,6,8]=>[1,3,2,2]=>11001010=>5 [8,1,2,7,5,6,3,4]=>[1,8,7,2,4,3,6,5]=>[2,1,2,2,1]=>10110101=>6 [8,2,7,3,4,6,1,5]=>[1,7,2,6,5,3,8,4]=>[2,2,1,2,1]=>10101101=>6 [6,7,5,4,8,1,3,2]=>[3,2,4,5,1,8,6,7]=>[1,3,2,2]=>11001010=>5 [8,3,5,6,4,7,2,1]=>[1,6,4,3,5,2,7,8]=>[2,1,2,3]=>10110100=>5 [8,5,6,2,4,3,7,1]=>[1,4,3,7,5,6,2,8]=>[2,2,2,2]=>10101010=>7 [6,5,8,1,3,4,2,7]=>[3,4,1,8,6,5,7,2]=>[2,2,1,2,1]=>10101101=>6 [6,4,8,7,5,3,2,1]=>[3,5,1,2,4,6,7,8]=>[2,6]=>10100000=>3 [6,7,1,4,3,2,8,5]=>[3,2,8,5,6,7,1,4]=>[1,2,3,2]=>11010010=>5 [7,2,5,1,4,8,3,6]=>[2,7,4,8,5,1,6,3]=>[2,2,1,2,1]=>10101101=>6 [5,8,1,3,4,2,7,6]=>[4,1,8,6,5,7,2,3]=>[1,2,1,2,2]=>11011010=>5 [1,5,6,3,2,8,7,4]=>[8,4,3,6,7,1,2,5]=>[1,1,3,3]=>11100100=>3 [1,3,7,6,8,4,2,5]=>[8,6,2,3,1,5,7,4]=>[1,1,2,3,1]=>11101001=>4 [1,6,7,3,2,8,5,4]=>[8,3,2,6,7,1,4,5]=>[1,1,3,3]=>11100100=>3 [3,2,7,6,8,4,5,1]=>[6,7,2,3,1,5,4,8]=>[2,2,2,2]=>10101010=>7 [1,3,8,5,2,7,6,4]=>[8,6,1,4,7,2,3,5]=>[1,1,3,3]=>11100100=>3 [6,4,1,5,2,8,7,3]=>[3,5,8,4,7,1,2,6]=>[3,2,3]=>10010100=>5 [7,6,5,3,1,8,2,4]=>[2,3,4,6,8,1,7,5]=>[5,2,1]=>10000101=>4 [2,5,1,4,7,3,6,8]=>[7,4,8,5,2,6,3,1]=>[1,2,1,2,1,1]=>11011011=>4 [2,6,1,5,7,4,8,3]=>[7,3,8,4,2,5,1,6]=>[1,2,1,2,2]=>11011010=>5 [2,5,7,1,6,3,8,4]=>[7,4,2,8,3,6,1,5]=>[1,1,2,2,2]=>11101010=>5 [2,6,1,5,7,4,3,8]=>[7,3,8,4,2,5,6,1]=>[1,2,1,3,1]=>11011001=>4 [3,1,6,5,2,4,7,8]=>[6,8,3,4,7,5,2,1]=>[2,3,1,1,1]=>10100111=>4 [3,6,5,1,7,2,4,8]=>[6,3,4,8,2,7,5,1]=>[1,3,2,1,1]=>11001011=>4 [3,6,5,2,1,4,7,8]=>[6,3,4,7,8,5,2,1]=>[1,4,1,1,1]=>11000111=>2 [5,4,3,6,1,7,2,8]=>[4,5,6,3,8,2,7,1]=>[3,2,2,1]=>10010101=>6 [4,5,2,7,6,1,3,8]=>[5,4,7,2,3,8,6,1]=>[1,2,3,1,1]=>11010011=>4 [5,4,1,6,3,7,2,8]=>[4,5,8,3,6,2,7,1]=>[3,2,2,1]=>10010101=>6 [4,3,6,5,7,1,2,8]=>[5,6,3,4,2,8,7,1]=>[2,2,2,1,1]=>10101011=>6 [4,2,6,5,1,3,7,8]=>[5,7,3,4,8,6,2,1]=>[2,3,1,1,1]=>10100111=>4 [4,1,6,5,3,7,8,2]=>[5,8,3,4,6,2,1,7]=>[2,3,1,2]=>10100110=>5 [4,2,5,7,6,1,3,8]=>[5,7,4,2,3,8,6,1]=>[2,1,3,1,1]=>10110011=>4 [3,4,7,6,1,2,5,8]=>[6,5,2,3,8,7,4,1]=>[1,1,3,1,1,1]=>11100111=>2 [3,6,5,7,2,1,4,8]=>[6,3,4,2,7,8,5,1]=>[1,2,3,1,1]=>11010011=>4 [3,5,7,6,2,4,1,8]=>[6,4,2,3,7,5,8,1]=>[1,1,3,2,1]=>11100101=>4 [5,4,2,6,3,7,1,8]=>[4,5,7,3,6,2,8,1]=>[3,2,2,1]=>10010101=>6 [4,6,5,2,1,7,3,8]=>[5,3,4,7,8,2,6,1]=>[1,4,2,1]=>11000101=>4 [3,5,8,2,1,4,6,7]=>[6,4,1,7,8,5,3,2]=>[1,1,3,1,1,1]=>11100111=>2 [3,5,8,2,4,6,7,1]=>[6,4,1,7,5,3,2,8]=>[1,1,2,1,1,2]=>11101110=>3 [5,3,8,2,1,4,6,7]=>[4,6,1,7,8,5,3,2]=>[2,3,1,1,1]=>10100111=>4 [5,3,1,8,2,4,6,7]=>[4,6,8,1,7,5,3,2]=>[3,2,1,1,1]=>10010111=>4 [5,1,3,8,2,4,6,7]=>[4,8,6,1,7,5,3,2]=>[2,1,2,1,1,1]=>10110111=>4 [1,5,8,4,2,3,6,7]=>[8,4,1,5,7,6,3,2]=>[1,1,3,1,1,1]=>11100111=>2 [5,8,2,1,4,3,6,7]=>[4,1,7,8,5,6,3,2]=>[1,3,2,1,1]=>11001011=>4 [5,8,2,4,1,6,7,3]=>[4,1,7,5,8,3,2,6]=>[1,2,2,1,2]=>11010110=>5 [5,8,2,4,6,3,1,7]=>[4,1,7,5,3,6,8,2]=>[1,2,1,3,1]=>11011001=>4 [5,8,1,4,6,2,3,7]=>[4,1,8,5,3,7,6,2]=>[1,2,1,2,1,1]=>11011011=>4 [5,8,2,4,6,3,7,1]=>[4,1,7,5,3,6,2,8]=>[1,2,1,2,2]=>11011010=>5 [3,8,4,6,7,2,1,5]=>[6,1,5,3,2,7,8,4]=>[1,2,1,3,1]=>11011001=>4 [3,8,4,6,7,2,5,1]=>[6,1,5,3,2,7,4,8]=>[1,2,1,2,2]=>11011010=>5 [8,4,3,6,7,2,1,5]=>[1,5,6,3,2,7,8,4]=>[3,1,3,1]=>10011001=>4 [8,6,2,4,5,3,1,7]=>[1,3,7,5,4,6,8,2]=>[3,1,3,1]=>10011001=>4 [1,8,6,4,2,3,5,7]=>[8,1,3,5,7,6,4,2]=>[1,4,1,1,1]=>11000111=>2 [3,8,1,6,2,4,5,7]=>[6,1,8,3,7,5,4,2]=>[1,2,2,1,1,1]=>11010111=>4 [3,8,6,2,1,4,5,7]=>[6,1,3,7,8,5,4,2]=>[1,4,1,1,1]=>11000111=>2 [3,8,6,2,4,1,5,7]=>[6,1,3,7,5,8,4,2]=>[1,3,2,1,1]=>11001011=>4 [8,3,6,2,4,5,1,7]=>[1,6,3,7,5,4,8,2]=>[2,2,1,2,1]=>10101101=>6 [8,1,3,6,2,4,5,7]=>[1,8,6,3,7,5,4,2]=>[2,1,2,1,1,1]=>10110111=>4 [3,8,6,7,2,1,4,5]=>[6,1,3,2,7,8,5,4]=>[1,2,3,1,1]=>11010011=>4 [8,2,6,4,5,1,7,3]=>[1,7,3,5,4,8,2,6]=>[2,2,2,2]=>10101010=>7 [1,8,4,6,7,5,2,3]=>[8,1,5,3,2,4,7,6]=>[1,2,1,3,1]=>11011001=>4 [8,4,6,2,3,7,5,1]=>[1,5,3,7,6,2,4,8]=>[2,2,1,3]=>10101100=>5 [8,4,7,2,1,3,6,5]=>[1,5,2,7,8,6,3,4]=>[2,3,1,2]=>10100110=>5 [8,3,1,7,2,4,6,5]=>[1,6,8,2,7,5,3,4]=>[3,2,1,2]=>10010110=>5 [2,7,1,6,3,5,8,4]=>[7,2,8,3,6,4,1,5]=>[1,2,2,1,2]=>11010110=>5 [1,8,4,2,6,3,7,5]=>[8,1,5,7,3,6,2,4]=>[1,3,2,2]=>11001010=>5 [8,4,2,1,5,3,7,6]=>[1,5,7,8,4,6,2,3]=>[4,2,2]=>10001010=>5 [8,2,1,4,7,3,6,5]=>[1,7,8,5,2,6,3,4]=>[3,1,2,2]=>10011010=>5 [8,4,3,1,5,7,2,6]=>[1,5,6,8,4,2,7,3]=>[4,1,2,1]=>10001101=>4 [8,4,2,1,5,7,3,6]=>[1,5,7,8,4,2,6,3]=>[4,1,2,1]=>10001101=>4 [1,6,2,5,8,4,7,3]=>[8,3,7,4,1,5,2,6]=>[1,2,1,2,2]=>11011010=>5 [3,1,8,4,6,7,2,5]=>[6,8,1,5,3,2,7,4]=>[2,2,1,2,1]=>10101101=>6 [3,2,1,7,4,5,8,6]=>[6,7,8,2,5,4,1,3]=>[3,2,1,2]=>10010110=>5 [4,2,1,7,5,3,8,6]=>[5,7,8,2,4,6,1,3]=>[3,3,2]=>10010010=>5 [3,2,8,6,1,4,7,5]=>[6,7,1,3,8,5,2,4]=>[2,3,1,2]=>10100110=>5 [3,8,7,2,1,5,6,4]=>[6,1,2,7,8,4,3,5]=>[1,4,1,2]=>11000110=>3 [2,6,8,5,1,7,4,3]=>[7,3,1,4,8,2,5,6]=>[1,1,3,3]=>11100100=>3 [3,2,6,8,1,4,7,5]=>[6,7,3,1,8,5,2,4]=>[2,1,2,1,2]=>10110110=>5 [2,1,5,8,7,3,6,4]=>[7,8,4,1,2,6,3,5]=>[2,1,3,2]=>10110010=>5 [4,2,1,6,7,3,8,5]=>[5,7,8,3,2,6,1,4]=>[3,1,2,2]=>10011010=>5 [3,2,1,6,7,4,8,5]=>[6,7,8,3,2,5,1,4]=>[3,1,2,2]=>10011010=>5 [4,3,1,7,8,5,2,6]=>[5,6,8,2,1,4,7,3]=>[3,1,3,1]=>10011001=>4 [3,1,5,2,6,8,7,4]=>[6,8,4,7,3,1,2,5]=>[2,2,1,3]=>10101100=>5 [7,2,3,1,4,8,5,6]=>[2,7,6,8,5,1,4,3]=>[2,2,1,2,1]=>10101101=>6 [5,6,8,2,4,3,7,1]=>[4,3,1,7,5,6,2,8]=>[1,1,2,2,2]=>11101010=>5 [3,5,8,6,4,1,7,2]=>[6,4,1,3,5,8,2,7]=>[1,1,4,2]=>11100010=>3 [5,1,7,6,4,2,3,8]=>[4,8,2,3,5,7,6,1]=>[2,4,1,1]=>10100011=>4 [5,1,8,6,4,2,3,7]=>[4,8,1,3,5,7,6,2]=>[2,4,1,1]=>10100011=>4 [1,2,8,6,4,7,3,5]=>[8,7,1,3,5,2,6,4]=>[1,1,3,2,1]=>11100101=>4 [4,2,3,6,7,1,5,8]=>[5,7,6,3,2,8,4,1]=>[2,1,1,2,1,1]=>10111011=>4 [5,3,2,7,8,6,4,1]=>[4,6,7,2,1,3,5,8]=>[3,1,4]=>10011000=>3 [4,2,7,8,3,5,6,1]=>[5,7,2,1,6,4,3,8]=>[2,1,2,1,2]=>10110110=>5 [1,4,8,7,2,5,6,3]=>[8,5,1,2,7,4,3,6]=>[1,1,3,1,2]=>11100110=>3 [2,8,3,7,1,4,6,5]=>[7,1,6,2,8,5,3,4]=>[1,2,2,1,2]=>11010110=>5 [2,8,7,1,5,3,6,4]=>[7,1,2,8,4,6,3,5]=>[1,3,2,2]=>11001010=>5 [5,4,7,6,1,2,8,3]=>[4,5,2,3,8,7,1,6]=>[2,3,1,2]=>10100110=>5 [1,7,2,8,3,5,6,4]=>[8,2,7,1,6,4,3,5]=>[1,2,2,1,2]=>11010110=>5 [2,8,7,3,5,4,6,1]=>[7,1,2,6,4,5,3,8]=>[1,3,2,2]=>11001010=>5 [1,4,6,7,8,5,2,3]=>[8,5,3,2,1,4,7,6]=>[1,1,1,1,3,1]=>11111001=>2 [3,8,4,2,7,6,5,1]=>[6,1,5,7,2,3,4,8]=>[1,3,4]=>11001000=>3 [5,1,6,4,3,7,2,8]=>[4,8,3,5,6,2,7,1]=>[2,3,2,1]=>10100101=>6 [7,3,2,6,4,1,8,5]=>[2,6,7,3,5,8,1,4]=>[3,3,2]=>10010010=>5 [4,8,3,7,1,5,6,2]=>[5,1,6,2,8,4,3,7]=>[1,2,2,1,2]=>11010110=>5 [2,4,3,7,1,5,6,8]=>[7,5,6,2,8,4,3,1]=>[1,2,2,1,1,1]=>11010111=>4 [2,6,8,1,5,3,4,7]=>[7,3,1,8,4,6,5,2]=>[1,1,2,2,1,1]=>11101011=>4 [3,2,5,6,8,1,4,7]=>[6,7,4,3,1,8,5,2]=>[2,1,1,2,1,1]=>10111011=>4 [3,8,1,6,4,5,2,7]=>[6,1,8,3,5,4,7,2]=>[1,2,2,2,1]=>11010101=>6 [8,1,3,6,5,4,2,7]=>[1,8,6,3,4,5,7,2]=>[2,1,4,1]=>10110001=>4 [7,4,3,6,2,1,8,5]=>[2,5,6,3,7,8,1,4]=>[3,3,2]=>10010010=>5 [1,2,4,8,6,3,7,5]=>[8,7,5,1,3,6,2,4]=>[1,1,1,3,2]=>11110010=>3 [7,2,1,5,3,4,8,6]=>[2,7,8,4,6,5,1,3]=>[3,2,1,2]=>10010110=>5 [5,7,2,3,1,4,8,6]=>[4,2,7,6,8,5,1,3]=>[1,2,2,1,2]=>11010110=>5 [7,1,5,2,4,6,8,3]=>[2,8,4,7,5,3,1,6]=>[2,2,1,1,2]=>10101110=>5 [8,4,2,7,3,5,6,1]=>[1,5,7,2,6,4,3,8]=>[3,2,1,2]=>10010110=>5 [1,8,6,4,7,5,3,2]=>[8,1,3,5,2,4,6,7]=>[1,3,4]=>11001000=>3 [7,4,1,5,8,6,3,2]=>[2,5,8,4,1,3,6,7]=>[3,1,4]=>10011000=>3 [1,3,8,7,6,4,2,5]=>[8,6,1,2,3,5,7,4]=>[1,1,5,1]=>11100001=>2 [2,8,5,1,7,4,6,3]=>[7,1,4,8,2,5,3,6]=>[1,3,2,2]=>11001010=>5 [1,8,6,4,7,5,2,3]=>[8,1,3,5,2,4,7,6]=>[1,3,3,1]=>11001001=>4 [2,7,4,6,3,8,5,1]=>[7,2,5,3,6,1,4,8]=>[1,2,2,3]=>11010100=>5 [7,1,8,4,3,2,5,6]=>[2,8,1,5,6,7,4,3]=>[2,4,1,1]=>10100011=>4 [3,5,1,7,4,2,6,8]=>[6,4,8,2,5,7,3,1]=>[1,2,3,1,1]=>11010011=>4 [7,4,1,6,3,2,5,8]=>[2,5,8,3,6,7,4,1]=>[3,3,1,1]=>10010011=>4 [8,4,3,1,6,2,5,7]=>[1,5,6,8,3,7,4,2]=>[4,2,1,1]=>10001011=>4 [1,6,5,4,2,8,3,7]=>[8,3,4,5,7,1,6,2]=>[1,4,2,1]=>11000101=>4 [7,5,4,3,8,1,6,2]=>[2,4,5,6,1,8,3,7]=>[4,2,2]=>10001010=>5 [8,5,4,3,7,1,6,2]=>[1,4,5,6,2,8,3,7]=>[4,2,2]=>10001010=>5 [5,7,2,8,6,3,1,4]=>[4,2,7,1,3,6,8,5]=>[1,2,4,1]=>11010001=>4 [1,7,2,8,6,4,3,5]=>[8,2,7,1,3,5,6,4]=>[1,2,4,1]=>11010001=>4 [5,2,1,7,8,3,6,4]=>[4,7,8,2,1,6,3,5]=>[3,1,2,2]=>10011010=>5 [6,5,4,2,7,1,8,3]=>[3,4,5,7,2,8,1,6]=>[4,2,2]=>10001010=>5 [5,3,1,6,2,8,7,4]=>[4,6,8,3,7,1,2,5]=>[3,2,3]=>10010100=>5 [3,5,4,1,7,8,2,6]=>[6,4,5,8,2,1,7,3]=>[1,3,1,2,1]=>11001101=>4 [7,5,4,3,1,6,8,2]=>[2,4,5,6,8,3,1,7]=>[5,1,2]=>10000110=>3 [6,4,2,1,5,7,3,8]=>[3,5,7,8,4,2,6,1]=>[4,1,2,1]=>10001101=>4 [3,1,5,8,7,2,4,6]=>[6,8,4,1,2,7,5,3]=>[2,1,3,1,1]=>10110011=>4 [3,2,5,7,8,4,6,1]=>[6,7,4,2,1,5,3,8]=>[2,1,1,2,2]=>10111010=>5 [5,3,7,4,2,6,8,1]=>[4,6,2,5,7,3,1,8]=>[2,3,1,2]=>10100110=>5 [5,3,7,4,2,6,1,8]=>[4,6,2,5,7,3,8,1]=>[2,3,2,1]=>10100101=>6 [5,1,8,4,3,2,6,7]=>[4,8,1,5,6,7,3,2]=>[2,4,1,1]=>10100011=>4 [5,2,7,4,3,6,1,8]=>[4,7,2,5,6,3,8,1]=>[2,3,2,1]=>10100101=>6 [5,2,7,4,3,6,8,1]=>[4,7,2,5,6,3,1,8]=>[2,3,1,2]=>10100110=>5 [3,1,5,7,8,4,2,6]=>[6,8,4,2,1,5,7,3]=>[2,1,1,3,1]=>10111001=>4 [5,2,7,4,1,3,8,6]=>[4,7,2,5,8,6,1,3]=>[2,3,1,2]=>10100110=>5 [6,2,3,7,4,8,5,1]=>[3,7,6,2,5,1,4,8]=>[2,1,2,3]=>10110100=>5 [6,2,3,7,4,8,1,5]=>[3,7,6,2,5,1,8,4]=>[2,1,2,2,1]=>10110101=>6 [6,2,3,7,4,5,1,8]=>[3,7,6,2,5,4,8,1]=>[2,1,2,2,1]=>10110101=>6 [1,2,8,6,4,3,5,7]=>[8,7,1,3,5,6,4,2]=>[1,1,4,1,1]=>11100011=>2 [6,1,3,7,4,5,2,8]=>[3,8,6,2,5,4,7,1]=>[2,1,2,2,1]=>10110101=>6 [6,5,8,1,2,4,3,7]=>[3,4,1,8,7,5,6,2]=>[2,2,1,2,1]=>10101101=>6 [3,5,8,7,2,1,4,6]=>[6,4,1,2,7,8,5,3]=>[1,1,4,1,1]=>11100011=>2 [2,6,1,8,5,3,4,7]=>[7,3,8,1,4,6,5,2]=>[1,2,3,1,1]=>11010011=>4 [4,5,7,8,1,6,3,2]=>[5,4,2,1,8,3,6,7]=>[1,1,1,2,3]=>11110100=>3 [2,5,7,8,4,6,3,1]=>[7,4,2,1,5,3,6,8]=>[1,1,1,2,3]=>11110100=>3 [1,8,2,7,5,3,4,6]=>[8,1,7,2,4,6,5,3]=>[1,2,3,1,1]=>11010011=>4 [2,5,4,1,8,6,7,3]=>[7,4,5,8,1,3,2,6]=>[1,3,2,2]=>11001010=>5 [7,4,5,8,2,6,1,3]=>[2,5,4,1,7,3,8,6]=>[2,1,2,2,1]=>10110101=>6 [2,4,1,5,8,6,7,3]=>[7,5,8,4,1,3,2,6]=>[1,2,1,2,2]=>11011010=>5 [5,6,8,3,4,2,7,1]=>[4,3,1,6,5,7,2,8]=>[1,1,2,2,2]=>11101010=>5 [4,1,5,3,8,6,7,2]=>[5,8,4,6,1,3,2,7]=>[2,2,2,2]=>10101010=>7 [2,3,5,1,8,6,7,4]=>[7,6,4,8,1,3,2,5]=>[1,1,2,2,2]=>11101010=>5 [7,3,4,8,2,6,1,5]=>[2,6,5,1,7,3,8,4]=>[2,1,2,2,1]=>10110101=>6 [7,4,2,8,3,6,1,5]=>[2,5,7,1,6,3,8,4]=>[3,2,2,1]=>10010101=>6 [3,5,2,1,8,6,7,4]=>[6,4,7,8,1,3,2,5]=>[1,3,2,2]=>11001010=>5 [7,1,3,2,4,5,6,8]=>[2,8,6,7,5,4,3,1]=>[2,2,1,1,1,1]=>10101111=>4 [8,5,4,6,1,7,2,3]=>[1,4,5,3,8,2,7,6]=>[3,2,2,1]=>10010101=>6 [5,1,7,8,2,4,3,6]=>[4,8,2,1,7,5,6,3]=>[2,1,2,2,1]=>10110101=>6 [8,5,4,6,1,7,3,2]=>[1,4,5,3,8,2,6,7]=>[3,2,3]=>10010100=>5 [5,3,2,8,4,1,7,6]=>[4,6,7,1,5,8,2,3]=>[3,3,2]=>10010010=>5 [5,3,2,1,4,6,8,7]=>[4,6,7,8,5,3,1,2]=>[4,1,1,2]=>10001110=>3 [5,3,2,4,8,1,6,7]=>[4,6,7,5,1,8,3,2]=>[3,1,2,1,1]=>10011011=>4 [5,3,2,4,8,6,1,7]=>[4,6,7,5,1,3,8,2]=>[3,1,3,1]=>10011001=>4 [8,4,3,5,1,7,6,2]=>[1,5,6,4,8,2,3,7]=>[3,2,3]=>10010100=>5 [5,3,2,8,4,6,7,1]=>[4,6,7,1,5,3,2,8]=>[3,2,1,2]=>10010110=>5 [4,7,8,6,3,2,5,1]=>[5,2,1,3,6,7,4,8]=>[1,1,4,2]=>11100010=>3 [8,4,5,3,7,1,6,2]=>[1,5,4,6,2,8,3,7]=>[2,2,2,2]=>10101010=>7 [5,3,1,7,2,4,8,6]=>[4,6,8,2,7,5,1,3]=>[3,2,1,2]=>10010110=>5 [8,4,5,3,7,1,2,6]=>[1,5,4,6,2,8,7,3]=>[2,2,2,1,1]=>10101011=>6 [5,3,2,8,4,7,1,6]=>[4,6,7,1,5,2,8,3]=>[3,2,2,1]=>10010101=>6 [4,8,7,1,5,3,6,2]=>[5,1,2,8,4,6,3,7]=>[1,3,2,2]=>11001010=>5 [4,8,1,7,3,5,6,2]=>[5,1,8,2,6,4,3,7]=>[1,2,2,1,2]=>11010110=>5 [5,3,2,4,8,7,1,6]=>[4,6,7,5,1,2,8,3]=>[3,1,3,1]=>10011001=>4 [5,3,2,4,6,8,1,7]=>[4,6,7,5,3,1,8,2]=>[3,1,1,2,1]=>10011101=>4 [5,1,2,8,4,7,3,6]=>[4,8,7,1,5,2,6,3]=>[2,1,2,2,1]=>10110101=>6 [2,7,6,3,1,4,8,5]=>[7,2,3,6,8,5,1,4]=>[1,4,1,2]=>11000110=>3 [3,7,4,5,6,8,2,1]=>[6,2,5,4,3,1,7,8]=>[1,2,1,1,3]=>11011100=>3 [8,7,1,4,2,5,3,6]=>[1,2,8,5,7,4,6,3]=>[3,2,2,1]=>10010101=>6 [4,6,8,3,7,1,5,2]=>[5,3,1,6,2,8,4,7]=>[1,1,2,2,2]=>11101010=>5 [4,7,3,5,8,1,6,2]=>[5,2,6,4,1,8,3,7]=>[1,2,1,2,2]=>11011010=>5 [8,4,3,5,7,1,6,2]=>[1,5,6,4,2,8,3,7]=>[3,1,2,2]=>10011010=>5 [8,7,1,2,5,6,3,4]=>[1,2,8,7,4,3,6,5]=>[3,1,1,2,1]=>10011101=>4 [8,6,1,5,2,7,3,4]=>[1,3,8,4,7,2,6,5]=>[3,2,2,1]=>10010101=>6 [1,2,6,5,7,8,3,4]=>[8,7,3,4,2,1,6,5]=>[1,1,2,1,2,1]=>11101101=>4 [7,6,4,2,8,3,1,5]=>[2,3,5,7,1,6,8,4]=>[4,3,1]=>10001001=>4 [8,5,2,4,3,7,6,1]=>[1,4,7,5,6,2,3,8]=>[3,2,3]=>10010100=>5 [8,5,2,4,3,7,1,6]=>[1,4,7,5,6,2,8,3]=>[3,2,2,1]=>10010101=>6 [8,5,1,4,3,7,6,2]=>[1,4,8,5,6,2,3,7]=>[3,2,3]=>10010100=>5 [8,5,1,4,3,2,7,6]=>[1,4,8,5,6,7,2,3]=>[3,3,2]=>10010010=>5 [8,5,1,4,3,2,6,7]=>[1,4,8,5,6,7,3,2]=>[3,3,1,1]=>10010011=>4 [8,5,1,4,3,6,7,2]=>[1,4,8,5,6,3,2,7]=>[3,2,1,2]=>10010110=>5 [7,5,4,1,3,6,8,2]=>[2,4,5,8,6,3,1,7]=>[4,1,1,2]=>10001110=>3 [1,2,6,4,8,3,5,7]=>[8,7,3,5,1,6,4,2]=>[1,1,2,2,1,1]=>11101011=>4 [6,5,4,3,1,7,2,8]=>[3,4,5,6,8,2,7,1]=>[5,2,1]=>10000101=>4 [8,5,2,4,3,6,7,1]=>[1,4,7,5,6,3,2,8]=>[3,2,1,2]=>10010110=>5 [3,6,7,2,5,1,8,4]=>[6,3,2,7,4,8,1,5]=>[1,1,2,2,2]=>11101010=>5 [2,6,5,7,1,4,8,3]=>[7,3,4,2,8,5,1,6]=>[1,2,2,1,2]=>11010110=>5 [3,5,1,7,8,4,6,2]=>[6,4,8,2,1,5,3,7]=>[1,2,1,2,2]=>11011010=>5 [8,1,2,4,7,6,5,3]=>[1,8,7,5,2,3,4,6]=>[2,1,1,4]=>10111000=>3 [3,4,1,8,6,7,5,2]=>[6,5,8,1,3,2,4,7]=>[1,2,2,3]=>11010100=>5 [2,3,5,6,7,4,8,1,9]=>[8,7,5,4,3,6,2,9,1]=>[1,1,1,1,2,2,1]=>111110101=>4 [6,7,4,2,5,8,3,1]=>[3,2,5,7,4,1,6,8]=>[1,3,1,3]=>11001100=>3 [8,5,4,2,6,3,1,7]=>[1,4,5,7,3,6,8,2]=>[4,3,1]=>10001001=>4 [8,5,2,1,6,4,3,7]=>[1,4,7,8,3,5,6,2]=>[4,3,1]=>10001001=>4 [8,4,6,5,1,3,2,7]=>[1,5,3,4,8,6,7,2]=>[2,3,2,1]=>10100101=>6 [1,3,8,4,7,5,2,6]=>[8,6,1,5,2,4,7,3]=>[1,1,2,3,1]=>11101001=>4 [5,3,7,1,4,6,8,2]=>[4,6,2,8,5,3,1,7]=>[2,2,1,1,2]=>10101110=>5 [5,7,2,6,1,4,8,3]=>[4,2,7,3,8,5,1,6]=>[1,2,2,1,2]=>11010110=>5 [3,8,5,7,6,1,2,4]=>[6,1,4,2,3,8,7,5]=>[1,2,3,1,1]=>11010011=>4 [8,4,7,5,2,1,3,6]=>[1,5,2,4,7,8,6,3]=>[2,4,1,1]=>10100011=>4 [3,8,6,4,7,2,1,5]=>[6,1,3,5,2,7,8,4]=>[1,3,3,1]=>11001001=>4 [5,2,7,4,6,8,3,1]=>[4,7,2,5,3,1,6,8]=>[2,2,1,3]=>10101100=>5 [2,8,3,1,7,6,4,5]=>[7,1,6,8,2,3,5,4]=>[1,3,3,1]=>11001001=>4 [4,7,8,5,1,6,2,3]=>[5,2,1,4,8,3,7,6]=>[1,1,3,2,1]=>11100101=>4 [4,5,2,1,6,7,8,3]=>[5,4,7,8,3,2,1,6]=>[1,3,1,1,2]=>11001110=>3 [3,5,6,7,4,1,8,2]=>[6,4,3,2,5,8,1,7]=>[1,1,1,3,2]=>11110010=>3 [3,5,1,4,2,8,7,6]=>[6,4,8,5,7,1,2,3]=>[1,2,2,3]=>11010100=>5 [3,5,1,4,2,6,8,7]=>[6,4,8,5,7,3,1,2]=>[1,2,2,1,2]=>11010110=>5 [1,3,8,4,6,2,5,7]=>[8,6,1,5,3,7,4,2]=>[1,1,2,2,1,1]=>11101011=>4 [1,4,7,5,6,2,3,8]=>[8,5,2,4,3,7,6,1]=>[1,1,2,2,1,1]=>11101011=>4 [1,7,3,6,4,5,2,8]=>[8,2,6,3,5,4,7,1]=>[1,2,2,2,1]=>11010101=>6 [1,8,4,2,3,7,5,6]=>[8,1,5,7,6,2,4,3]=>[1,3,1,2,1]=>11001101=>4 [1,5,2,3,8,6,7,4]=>[8,4,7,6,1,3,2,5]=>[1,2,1,2,2]=>11011010=>5 [1,5,2,7,6,4,3,8]=>[8,4,7,2,3,5,6,1]=>[1,2,4,1]=>11010001=>4 [1,4,8,3,2,7,6,5]=>[8,5,1,6,7,2,3,4]=>[1,1,3,3]=>11100100=>3 [1,5,3,8,4,2,6,7]=>[8,4,6,1,5,7,3,2]=>[1,2,3,1,1]=>11010011=>4 [1,8,2,4,7,5,3,6]=>[8,1,7,5,2,4,6,3]=>[1,2,1,3,1]=>11011001=>4 [1,7,5,2,4,3,6,8]=>[8,2,4,7,5,6,3,1]=>[1,3,2,1,1]=>11001011=>4 [1,8,6,5,2,4,3,7]=>[8,1,3,4,7,5,6,2]=>[1,4,2,1]=>11000101=>4 [1,6,5,4,2,7,3,8]=>[8,3,4,5,7,2,6,1]=>[1,4,2,1]=>11000101=>4 [1,7,3,2,6,4,5,8]=>[8,2,6,7,3,5,4,1]=>[1,3,2,1,1]=>11001011=>4 [1,2,8,6,7,5,4,3]=>[8,7,1,3,2,4,5,6]=>[1,1,2,4]=>11101000=>3 [1,3,8,6,5,4,2,7]=>[8,6,1,3,4,5,7,2]=>[1,1,5,1]=>11100001=>2 [1,7,5,4,3,2,6,8]=>[8,2,4,5,6,7,3,1]=>[1,5,1,1]=>11000011=>2 [3,8,5,7,4,6,2,1]=>[6,1,4,2,5,3,7,8]=>[1,2,2,3]=>11010100=>5 [8,6,2,4,5,7,1,3]=>[1,3,7,5,4,2,8,6]=>[3,1,1,2,1]=>10011101=>4 [3,8,7,4,5,2,6,1]=>[6,1,2,5,4,7,3,8]=>[1,3,2,2]=>11001010=>5 [6,5,2,4,1,3,8,7]=>[3,4,7,5,8,6,1,2]=>[3,2,1,2]=>10010110=>5 [7,6,3,2,5,1,8,4]=>[2,3,6,7,4,8,1,5]=>[4,2,2]=>10001010=>5 [4,2,7,8,3,6,1,5]=>[5,7,2,1,6,3,8,4]=>[2,1,2,2,1]=>10110101=>6 [4,6,3,7,5,8,2,1]=>[5,3,6,2,4,1,7,8]=>[1,2,2,3]=>11010100=>5 [4,2,5,7,8,6,3,1]=>[5,7,4,2,1,3,6,8]=>[2,1,1,4]=>10111000=>3 [8,2,5,7,3,6,1,4]=>[1,7,4,2,6,3,8,5]=>[2,1,2,2,1]=>10110101=>6 [4,2,5,8,7,6,3,1]=>[5,7,4,1,2,3,6,8]=>[2,1,5]=>10110000=>3 [6,7,2,4,5,1,8,3]=>[3,2,7,5,4,8,1,6]=>[1,2,1,2,2]=>11011010=>5 [5,2,7,8,3,6,1,4]=>[4,7,2,1,6,3,8,5]=>[2,1,2,2,1]=>10110101=>6 [7,2,8,3,1,6,4,5]=>[2,7,1,6,8,3,5,4]=>[2,3,2,1]=>10100101=>6 [7,2,3,4,1,8,5,6]=>[2,7,6,5,8,1,4,3]=>[2,1,2,2,1]=>10110101=>6 [2,4,7,8,1,3,6,5]=>[7,5,2,1,8,6,3,4]=>[1,1,1,2,1,2]=>11110110=>3 [8,5,1,2,3,7,4,6]=>[1,4,8,7,6,2,5,3]=>[3,1,1,2,1]=>10011101=>4 [6,2,1,3,8,5,4,7]=>[3,7,8,6,1,4,5,2]=>[3,1,3,1]=>10011001=>4 [8,4,2,3,1,7,6,5]=>[1,5,7,6,8,2,3,4]=>[3,2,3]=>10010100=>5 [5,2,8,3,1,4,7,6]=>[4,7,1,6,8,5,2,3]=>[2,3,1,2]=>10100110=>5 [8,7,2,5,1,4,3,6]=>[1,2,7,4,8,5,6,3]=>[3,2,2,1]=>10010101=>6 [8,5,3,4,1,2,7,6]=>[1,4,6,5,8,7,2,3]=>[3,2,1,2]=>10010110=>5 [8,3,5,4,1,2,7,6]=>[1,6,4,5,8,7,2,3]=>[2,3,1,2]=>10100110=>5 [8,2,4,3,1,7,6,5]=>[1,7,5,6,8,2,3,4]=>[2,3,3]=>10100100=>5 [8,4,1,3,2,7,6,5]=>[1,5,8,6,7,2,3,4]=>[3,2,3]=>10010100=>5 [6,2,8,4,1,3,7,5]=>[3,7,1,5,8,6,2,4]=>[2,3,1,2]=>10100110=>5 [6,3,5,2,8,7,1,4]=>[3,6,4,7,1,2,8,5]=>[2,2,3,1]=>10101001=>6 [3,1,6,2,8,5,4,7]=>[6,8,3,7,1,4,5,2]=>[2,2,3,1]=>10101001=>6 [8,1,3,5,2,4,7,6]=>[1,8,6,4,7,5,2,3]=>[2,1,2,1,2]=>10110110=>5 [8,3,5,1,2,4,7,6]=>[1,6,4,8,7,5,2,3]=>[2,2,1,1,2]=>10101110=>5 [8,6,5,1,7,4,2,3]=>[1,3,4,8,2,5,7,6]=>[4,3,1]=>10001001=>4 [8,7,4,5,1,2,6,3]=>[1,2,5,4,8,7,3,6]=>[3,2,1,2]=>10010110=>5 [5,8,3,1,2,7,4,6]=>[4,1,6,8,7,2,5,3]=>[1,3,1,2,1]=>11001101=>4 [3,8,6,2,7,1,5,4]=>[6,1,3,7,2,8,4,5]=>[1,3,2,2]=>11001010=>5 [8,4,3,5,1,2,7,6]=>[1,5,6,4,8,7,2,3]=>[3,2,1,2]=>10010110=>5 [3,2,8,5,1,4,7,6]=>[6,7,1,4,8,5,2,3]=>[2,3,1,2]=>10100110=>5 [3,4,8,2,1,7,6,5]=>[6,5,1,7,8,2,3,4]=>[1,1,3,3]=>11100100=>3 [8,3,4,1,7,2,6,5]=>[1,6,5,8,2,7,3,4]=>[2,2,2,2]=>10101010=>7 [8,3,4,2,1,7,6,5]=>[1,6,5,7,8,2,3,4]=>[2,3,3]=>10100100=>5 [3,8,4,2,1,7,6,5]=>[6,1,5,7,8,2,3,4]=>[1,4,3]=>11000100=>3 [8,3,1,7,5,6,2,4]=>[1,6,8,2,4,3,7,5]=>[3,2,2,1]=>10010101=>6 [8,4,1,7,5,2,6,3]=>[1,5,8,2,4,7,3,6]=>[3,3,2]=>10010010=>5 [8,4,2,7,5,3,1,6]=>[1,5,7,2,4,6,8,3]=>[3,4,1]=>10010001=>4 [8,4,3,7,5,1,2,6]=>[1,5,6,2,4,8,7,3]=>[3,3,1,1]=>10010011=>4 [8,5,7,6,4,3,1,2]=>[1,4,2,3,5,6,8,7]=>[2,5,1]=>10100001=>4 [8,4,7,6,5,2,1,3]=>[1,5,2,3,4,7,8,6]=>[2,5,1]=>10100001=>4 [8,3,1,4,7,6,2,5]=>[1,6,8,5,2,3,7,4]=>[3,1,3,1]=>10011001=>4 [8,3,5,7,6,2,4,1]=>[1,6,4,2,3,7,5,8]=>[2,1,3,2]=>10110010=>5 [1,4,6,8,2,5,7,3]=>[8,5,3,1,7,4,2,6]=>[1,1,1,2,1,2]=>11110110=>3 [4,2,6,8,1,5,7,3]=>[5,7,3,1,8,4,2,6]=>[2,1,2,1,2]=>10110110=>5 [3,6,2,4,8,1,7,5]=>[6,3,7,5,1,8,2,4]=>[1,2,1,2,2]=>11011010=>5 [7,3,8,2,4,6,1,5]=>[2,6,1,7,5,3,8,4]=>[2,2,1,2,1]=>10101101=>6 [4,2,5,8,3,6,1,7]=>[5,7,4,1,6,3,8,2]=>[2,1,2,2,1]=>10110101=>6 [5,2,1,6,8,3,7,4]=>[4,7,8,3,1,6,2,5]=>[3,1,2,2]=>10011010=>5 [1,5,2,6,8,3,7,4]=>[8,4,7,3,1,6,2,5]=>[1,2,1,2,2]=>11011010=>5 [3,5,8,1,4,6,2,7]=>[6,4,1,8,5,3,7,2]=>[1,1,2,1,2,1]=>11101101=>4 [5,1,7,8,3,6,2,4]=>[4,8,2,1,6,3,7,5]=>[2,1,2,2,1]=>10110101=>6 [1,6,7,3,8,4,2,5]=>[8,3,2,6,1,5,7,4]=>[1,1,2,3,1]=>11101001=>4 [7,8,3,1,4,5,2,6]=>[2,1,6,8,5,4,7,3]=>[1,3,1,2,1]=>11001101=>4 [7,2,8,4,1,3,5,6]=>[2,7,1,5,8,6,4,3]=>[2,3,1,1,1]=>10100111=>4 [6,1,7,3,2,8,4,5]=>[3,8,2,6,7,1,5,4]=>[2,3,2,1]=>10100101=>6 [6,2,1,7,3,8,4,5]=>[3,7,8,2,6,1,5,4]=>[3,2,2,1]=>10010101=>6 [5,8,2,1,3,4,6,7]=>[4,1,7,8,6,5,3,2]=>[1,3,1,1,1,1]=>11001111=>2 [7,3,1,8,2,4,6,5]=>[2,6,8,1,7,5,3,4]=>[3,2,1,2]=>10010110=>5 [4,2,5,1,8,3,6,7]=>[5,7,4,8,1,6,3,2]=>[2,2,2,1,1]=>10101011=>6 [7,4,2,8,3,5,1,6]=>[2,5,7,1,6,4,8,3]=>[3,2,2,1]=>10010101=>6 [4,7,8,2,1,5,6,3]=>[5,2,1,7,8,4,3,6]=>[1,1,3,1,2]=>11100110=>3 [6,7,2,8,5,1,4,3]=>[3,2,7,1,4,8,5,6]=>[1,2,3,2]=>11010010=>5 [6,7,8,5,2,1,4,3]=>[3,2,1,4,7,8,5,6]=>[1,1,4,2]=>11100010=>3 [4,7,8,2,1,5,3,6]=>[5,2,1,7,8,4,6,3]=>[1,1,3,2,1]=>11100101=>4 [4,1,7,8,2,5,3,6]=>[5,8,2,1,7,4,6,3]=>[2,1,2,2,1]=>10110101=>6 [1,6,2,7,8,4,3,5]=>[8,3,7,2,1,5,6,4]=>[1,2,1,3,1]=>11011001=>4 [6,7,1,8,4,3,2,5]=>[3,2,8,1,5,6,7,4]=>[1,2,4,1]=>11010001=>4 [8,2,1,5,6,3,4,7]=>[1,7,8,4,3,6,5,2]=>[3,1,2,1,1]=>10011011=>4 [7,3,4,1,8,6,2,5]=>[2,6,5,8,1,3,7,4]=>[2,2,3,1]=>10101001=>6 [4,7,6,3,5,8,2,1]=>[5,2,3,6,4,1,7,8]=>[1,3,1,3]=>11001100=>3 [1,4,7,8,6,2,5,3]=>[8,5,2,1,3,7,4,6]=>[1,1,1,3,2]=>11110010=>3 [1,6,7,8,3,2,5,4]=>[8,3,2,1,6,7,4,5]=>[1,1,1,3,2]=>11110010=>3 [2,7,4,8,5,1,3,6]=>[7,2,5,1,4,8,6,3]=>[1,2,3,1,1]=>11010011=>4 [2,1,5,3,4,8,7,6]=>[7,8,4,6,5,1,2,3]=>[2,2,1,3]=>10101100=>5 [6,8,2,3,5,7,4,1]=>[3,1,7,6,4,2,5,8]=>[1,2,1,1,3]=>11011100=>3 [3,5,4,1,2,6,8,7]=>[6,4,5,8,7,3,1,2]=>[1,3,1,1,2]=>11001110=>3 [8,5,1,4,7,6,2,3]=>[1,4,8,5,2,3,7,6]=>[3,1,3,1]=>10011001=>4 [5,6,4,2,7,1,3,8]=>[4,3,5,7,2,8,6,1]=>[1,3,2,1,1]=>11001011=>4 [4,5,7,1,6,2,3,8]=>[5,4,2,8,3,7,6,1]=>[1,1,2,2,1,1]=>11101011=>4 [6,3,1,4,7,8,2,5]=>[3,6,8,5,2,1,7,4]=>[3,1,1,2,1]=>10011101=>4 [8,2,4,1,5,6,3,7]=>[1,7,5,8,4,3,6,2]=>[2,2,1,2,1]=>10101101=>6 [9,8,7,6,5,1,3,4,2]=>[1,2,3,4,5,9,7,6,8]=>[6,1,2]=>100000110=>3 [9,8,7,6,1,4,5,3,2]=>[1,2,3,4,9,6,5,7,8]=>[5,1,3]=>100001100=>3 [8,7,1,5,4,6,3,2]=>[1,2,8,4,5,3,6,7]=>[3,2,3]=>10010100=>5 [9,8,7,1,5,6,4,3,2]=>[1,2,3,9,5,4,6,7,8]=>[4,1,4]=>100011000=>3 [9,8,1,6,7,5,4,3,2]=>[1,2,9,4,3,5,6,7,8]=>[3,1,5]=>100110000=>3 [9,1,7,8,6,5,4,3,2]=>[1,9,3,2,4,5,6,7,8]=>[2,1,6]=>101100000=>3 [4,5,7,1,8,6,2,3]=>[5,4,2,8,1,3,7,6]=>[1,1,2,3,1]=>11101001=>4 [2,5,7,3,8,1,6,4]=>[7,4,2,6,1,8,3,5]=>[1,1,2,2,2]=>11101010=>5 [4,3,8,6,5,2,7,1]=>[5,6,1,3,4,7,2,8]=>[2,4,2]=>10100010=>5 [2,3,8,6,5,1,7,4]=>[7,6,1,3,4,8,2,5]=>[1,1,4,2]=>11100010=>3 [8,4,1,6,5,7,2,3]=>[1,5,8,3,4,2,7,6]=>[3,2,2,1]=>10010101=>6 [4,1,8,6,5,7,2,3]=>[5,8,1,3,4,2,7,6]=>[2,3,2,1]=>10100101=>6 [8,1,4,7,5,6,2,3]=>[1,8,5,2,4,3,7,6]=>[2,1,2,2,1]=>10110101=>6 [8,7,4,6,5,1,2,3]=>[1,2,5,3,4,8,7,6]=>[3,3,1,1]=>10010011=>4 [2,1,3,6,8,4,7,5]=>[7,8,6,3,1,5,2,4]=>[2,1,1,2,2]=>10111010=>5 [7,2,3,6,5,8,1,4]=>[2,7,6,3,4,1,8,5]=>[2,1,2,2,1]=>10110101=>6 [5,2,7,3,1,8,6,4]=>[4,7,2,6,8,1,3,5]=>[2,3,3]=>10100100=>5 [5,4,7,3,1,2,6,8]=>[4,5,2,6,8,7,3,1]=>[2,3,1,1,1]=>10100111=>4 [3,4,1,6,5,2,7,8]=>[6,5,8,3,4,7,2,1]=>[1,2,3,1,1]=>11010011=>4 [7,6,2,1,5,4,3,8]=>[2,3,7,8,4,5,6,1]=>[4,3,1]=>10001001=>4 [3,5,2,6,7,4,1,8]=>[6,4,7,3,2,5,8,1]=>[1,2,1,3,1]=>11011001=>4 [4,5,7,2,6,1,3,8]=>[5,4,2,7,3,8,6,1]=>[1,1,2,2,1,1]=>11101011=>4 [2,7,1,8,5,4,3,6]=>[7,2,8,1,4,5,6,3]=>[1,2,4,1]=>11010001=>4 [7,1,2,8,5,4,3,6]=>[2,8,7,1,4,5,6,3]=>[2,1,4,1]=>10110001=>4 [8,1,2,7,6,4,3,5]=>[1,8,7,2,3,5,6,4]=>[2,1,4,1]=>10110001=>4 [3,1,2,6,5,7,8,4]=>[6,8,7,3,4,2,1,5]=>[2,1,2,1,2]=>10110110=>5 [7,3,2,6,1,4,8,5]=>[2,6,7,3,8,5,1,4]=>[3,2,1,2]=>10010110=>5 [7,3,5,6,2,4,8,1]=>[2,6,4,3,7,5,1,8]=>[2,1,2,1,2]=>10110110=>5 [8,3,4,6,5,2,1,7]=>[1,6,5,3,4,7,8,2]=>[2,1,4,1]=>10110001=>4 [8,1,2,5,7,4,3,6]=>[1,8,7,4,2,5,6,3]=>[2,1,1,3,1]=>10111001=>4 [3,2,5,6,8,4,1,7]=>[6,7,4,3,1,5,8,2]=>[2,1,1,3,1]=>10111001=>4 [8,2,6,1,5,4,3,7]=>[1,7,3,8,4,5,6,2]=>[2,2,3,1]=>10101001=>6 [6,2,1,8,5,4,3,7]=>[3,7,8,1,4,5,6,2]=>[3,4,1]=>10010001=>4 [7,2,6,8,5,4,3,1]=>[2,7,3,1,4,5,6,8]=>[2,1,5]=>10110000=>3 [7,6,8,2,5,4,3,1]=>[2,3,1,7,4,5,6,8]=>[2,2,4]=>10101000=>5 [3,5,8,6,2,4,1,7]=>[6,4,1,3,7,5,8,2]=>[1,1,3,2,1]=>11100101=>4 [8,1,5,7,2,4,3,6]=>[1,8,4,2,7,5,6,3]=>[2,1,2,2,1]=>10110101=>6 [3,7,5,6,2,4,1,8]=>[6,2,4,3,7,5,8,1]=>[1,2,2,2,1]=>11010101=>6 [4,2,5,1,3,6,8,7]=>[5,7,4,8,6,3,1,2]=>[2,2,1,1,2]=>10101110=>5 [2,7,1,5,6,8,3,4]=>[7,2,8,4,3,1,6,5]=>[1,2,1,1,2,1]=>11011101=>4 [7,2,5,8,6,3,4,1]=>[2,7,4,1,3,6,5,8]=>[2,1,3,2]=>10110010=>5 [5,8,2,6,7,3,4,1]=>[4,1,7,3,2,6,5,8]=>[1,2,1,2,2]=>11011010=>5 [3,2,6,7,4,5,8,1]=>[6,7,3,2,5,4,1,8]=>[2,1,2,1,2]=>10110110=>5 [2,3,6,7,8,4,5,1]=>[7,6,3,2,1,5,4,8]=>[1,1,1,1,2,2]=>11111010=>3 [7,2,4,3,8,6,5,1]=>[2,7,5,6,1,3,4,8]=>[2,2,4]=>10101000=>5 [7,3,4,2,8,6,1,5]=>[2,6,5,7,1,3,8,4]=>[2,2,3,1]=>10101001=>6 [5,3,4,2,7,1,8,6]=>[4,6,5,7,2,8,1,3]=>[2,2,2,2]=>10101010=>7 [2,4,5,3,7,8,1,6]=>[7,5,4,6,2,1,8,3]=>[1,1,2,1,2,1]=>11101101=>4 [3,6,4,8,1,2,7,5]=>[6,3,5,1,8,7,2,4]=>[1,2,2,1,2]=>11010110=>5 [3,7,1,4,8,2,6,5]=>[6,2,8,5,1,7,3,4]=>[1,2,1,2,2]=>11011010=>5 [7,6,1,2,8,3,4,5]=>[2,3,8,7,1,6,5,4]=>[3,1,2,1,1]=>10011011=>4 [5,6,8,2,1,3,4,7]=>[4,3,1,7,8,6,5,2]=>[1,1,3,1,1,1]=>11100111=>2 [6,5,2,1,3,8,4,7]=>[3,4,7,8,6,1,5,2]=>[4,1,2,1]=>10001101=>4 [2,4,3,5,6,8,1,7]=>[7,5,6,4,3,1,8,2]=>[1,2,1,1,2,1]=>11011101=>4 [6,3,2,4,8,5,1,7]=>[3,6,7,5,1,4,8,2]=>[3,1,3,1]=>10011001=>4 [6,3,1,2,7,8,4,5]=>[3,6,8,7,2,1,5,4]=>[3,1,1,2,1]=>10011101=>4 [6,3,1,7,4,8,2,5]=>[3,6,8,2,5,1,7,4]=>[3,2,2,1]=>10010101=>6 [7,4,6,2,8,1,3,5]=>[2,5,3,7,1,8,6,4]=>[2,2,2,1,1]=>10101011=>6 [7,4,6,1,3,8,2,5]=>[2,5,3,8,6,1,7,4]=>[2,2,1,2,1]=>10101101=>6 [8,4,7,1,2,5,3,6]=>[1,5,2,8,7,4,6,3]=>[2,2,1,2,1]=>10101101=>6 [7,4,6,1,2,8,5,3]=>[2,5,3,8,7,1,4,6]=>[2,2,1,3]=>10101100=>5 [7,4,6,1,8,5,2,3]=>[2,5,3,8,1,4,7,6]=>[2,2,3,1]=>10101001=>6 [8,5,6,7,2,1,4,3]=>[1,4,3,2,7,8,5,6]=>[2,1,3,2]=>10110010=>5 [8,5,6,7,2,4,1,3]=>[1,4,3,2,7,5,8,6]=>[2,1,2,2,1]=>10110101=>6 [8,5,6,7,1,2,4,3]=>[1,4,3,2,8,7,5,6]=>[2,1,2,1,2]=>10110110=>5 [5,1,3,7,6,2,8,4]=>[4,8,6,2,3,7,1,5]=>[2,1,3,2]=>10110010=>5 [7,1,3,6,5,4,8,2]=>[2,8,6,3,4,5,1,7]=>[2,1,3,2]=>10110010=>5 [4,3,5,1,7,2,6,8]=>[5,6,4,8,2,7,3,1]=>[2,2,2,1,1]=>10101011=>6 [6,4,8,1,5,3,2,7]=>[3,5,1,8,4,6,7,2]=>[2,2,3,1]=>10101001=>6 [4,8,3,1,5,2,6,7]=>[5,1,6,8,4,7,3,2]=>[1,3,2,1,1]=>11001011=>4 [3,7,6,2,5,1,4,8]=>[6,2,3,7,4,8,5,1]=>[1,3,2,1,1]=>11001011=>4 [6,5,4,1,2,7,3,8]=>[3,4,5,8,7,2,6,1]=>[4,1,2,1]=>10001101=>4 [6,8,4,2,3,1,7,5]=>[3,1,5,7,6,8,2,4]=>[1,3,2,2]=>11001010=>5 [1,7,6,2,8,3,5,4]=>[8,2,3,7,1,6,4,5]=>[1,3,2,2]=>11001010=>5 [7,2,6,3,1,4,8,5]=>[2,7,3,6,8,5,1,4]=>[2,3,1,2]=>10100110=>5 [7,5,1,3,4,8,2,6]=>[2,4,8,6,5,1,7,3]=>[3,1,1,2,1]=>10011101=>4 [7,1,5,6,3,2,8,4]=>[2,8,4,3,6,7,1,5]=>[2,1,3,2]=>10110010=>5 [2,4,1,7,6,5,3,8]=>[7,5,8,2,3,4,6,1]=>[1,2,4,1]=>11010001=>4 [4,1,3,8,5,2,7,6]=>[5,8,6,1,4,7,2,3]=>[2,1,3,2]=>10110010=>5 [2,4,3,8,6,5,1,7]=>[7,5,6,1,3,4,8,2]=>[1,2,4,1]=>11010001=>4 [3,1,4,5,8,6,2,7]=>[6,8,5,4,1,3,7,2]=>[2,1,1,3,1]=>10111001=>4 [1,8,3,2,5,4,6,7]=>[8,1,6,7,4,5,3,2]=>[1,3,2,1,1]=>11001011=>4 [5,1,7,3,2,8,4,6]=>[4,8,2,6,7,1,5,3]=>[2,3,2,1]=>10100101=>6 [5,7,8,1,3,2,4,6]=>[4,2,1,8,6,7,5,3]=>[1,1,2,2,1,1]=>11101011=>4 [8,2,4,1,6,7,3,5]=>[1,7,5,8,3,2,6,4]=>[2,2,1,2,1]=>10101101=>6 [4,1,6,7,3,5,8,2]=>[5,8,3,2,6,4,1,7]=>[2,1,2,1,2]=>10110110=>5 [8,7,3,6,2,4,1,5]=>[1,2,6,3,7,5,8,4]=>[3,2,2,1]=>10010101=>6 [7,8,6,1,3,5,4,2]=>[2,1,3,8,6,4,5,7]=>[1,3,1,3]=>11001100=>3 [1,7,5,8,4,3,2,6]=>[8,2,4,1,5,6,7,3]=>[1,2,4,1]=>11010001=>4 [6,3,1,2,7,8,5,4]=>[3,6,8,7,2,1,4,5]=>[3,1,1,3]=>10011100=>3 [8,2,7,5,3,4,1,6]=>[1,7,2,4,6,5,8,3]=>[2,3,2,1]=>10100101=>6 [6,3,1,2,8,7,5,4]=>[3,6,8,7,1,2,4,5]=>[3,1,4]=>10011000=>3 [8,4,7,2,6,3,1,5]=>[1,5,2,7,3,6,8,4]=>[2,2,3,1]=>10101001=>6 [1,2,5,7,8,3,6,4]=>[8,7,4,2,1,6,3,5]=>[1,1,1,1,2,2]=>11111010=>3 [7,6,3,4,2,1,8,5]=>[2,3,6,5,7,8,1,4]=>[3,3,2]=>10010010=>5 [8,4,6,2,3,7,1,5]=>[1,5,3,7,6,2,8,4]=>[2,2,1,2,1]=>10101101=>6 [2,3,5,8,7,1,4,6]=>[7,6,4,1,2,8,5,3]=>[1,1,1,3,1,1]=>11110011=>2 [3,4,5,8,1,7,2,6]=>[6,5,4,1,8,2,7,3]=>[1,1,1,2,2,1]=>11110101=>4 [1,8,4,5,3,7,2,6]=>[8,1,5,4,6,2,7,3]=>[1,2,2,2,1]=>11010101=>6 [6,3,4,2,7,8,1,5]=>[3,6,5,7,2,1,8,4]=>[2,2,1,2,1]=>10101101=>6 [6,3,4,2,7,1,5,8]=>[3,6,5,7,2,8,4,1]=>[2,2,2,1,1]=>10101011=>6 [5,6,3,7,8,2,1,4]=>[4,3,6,2,1,7,8,5]=>[1,2,1,3,1]=>11011001=>4 [6,8,3,4,7,2,1,5]=>[3,1,6,5,2,7,8,4]=>[1,2,1,3,1]=>11011001=>4 [8,6,3,4,7,2,1,5]=>[1,3,6,5,2,7,8,4]=>[3,1,3,1]=>10011001=>4 [4,3,8,6,7,5,1,2]=>[5,6,1,3,2,4,8,7]=>[2,2,3,1]=>10101001=>6 [4,5,6,2,7,8,3,1]=>[5,4,3,7,2,1,6,8]=>[1,1,2,1,3]=>11101100=>3 [4,5,6,2,7,1,8,3]=>[5,4,3,7,2,8,1,6]=>[1,1,2,2,2]=>11101010=>5 [4,5,6,2,1,7,8,3]=>[5,4,3,7,8,2,1,6]=>[1,1,3,1,2]=>11100110=>3 [4,5,6,2,1,7,3,8]=>[5,4,3,7,8,2,6,1]=>[1,1,3,2,1]=>11100101=>4 [5,8,6,2,1,7,3,4]=>[4,1,3,7,8,2,6,5]=>[1,4,2,1]=>11000101=>4 [8,6,3,4,1,7,2,5]=>[1,3,6,5,8,2,7,4]=>[3,2,2,1]=>10010101=>6 [5,6,3,1,7,2,4,8]=>[4,3,6,8,2,7,5,1]=>[1,3,2,1,1]=>11001011=>4 [8,4,6,7,2,1,3,5]=>[1,5,3,2,7,8,6,4]=>[2,1,3,1,1]=>10110011=>4 [6,8,7,2,3,1,4,5]=>[3,1,2,7,6,8,5,4]=>[1,3,2,1,1]=>11001011=>4 [2,5,6,7,4,1,3,8]=>[7,4,3,2,5,8,6,1]=>[1,1,1,3,1,1]=>11110011=>2 [5,3,6,7,1,4,8,2]=>[4,6,3,2,8,5,1,7]=>[2,1,2,1,2]=>10110110=>5 [4,5,1,6,7,3,2,8]=>[5,4,8,3,2,6,7,1]=>[1,2,1,3,1]=>11011001=>4 [5,6,1,8,7,4,2,3]=>[4,3,8,1,2,5,7,6]=>[1,2,4,1]=>11010001=>4 [6,7,3,1,2,5,4,8]=>[3,2,6,8,7,4,5,1]=>[1,3,1,2,1]=>11001101=>4 [3,7,4,8,1,5,6,2]=>[6,2,5,1,8,4,3,7]=>[1,2,2,1,2]=>11010110=>5 [2,5,1,8,3,7,4,6]=>[7,4,8,1,6,2,5,3]=>[1,2,2,2,1]=>11010101=>6 [2,3,8,6,5,7,1,4]=>[7,6,1,3,4,2,8,5]=>[1,1,3,2,1]=>11100101=>4 [6,3,8,4,1,5,7,2]=>[3,6,1,5,8,4,2,7]=>[2,3,1,2]=>10100110=>5 [6,3,4,1,7,5,8,2]=>[3,6,5,8,2,4,1,7]=>[2,2,2,2]=>10101010=>7 [6,7,2,5,8,3,1,4]=>[3,2,7,4,1,6,8,5]=>[1,2,1,3,1]=>11011001=>4 [5,7,2,1,3,8,4,6]=>[4,2,7,8,6,1,5,3]=>[1,3,1,2,1]=>11001101=>4 [3,7,5,4,1,6,8,2]=>[6,2,4,5,8,3,1,7]=>[1,4,1,2]=>11000110=>3 [3,8,5,4,1,6,7,2]=>[6,1,4,5,8,3,2,7]=>[1,4,1,2]=>11000110=>3 [5,2,1,4,6,8,7,3]=>[4,7,8,5,3,1,2,6]=>[3,1,1,3]=>10011100=>3 [4,1,7,6,3,2,5,8]=>[5,8,2,3,6,7,4,1]=>[2,4,1,1]=>10100011=>4 [4,6,1,3,2,5,8,7]=>[5,3,8,6,7,4,1,2]=>[1,2,2,1,2]=>11010110=>5 [1,8,6,4,7,3,5,2]=>[8,1,3,5,2,6,4,7]=>[1,3,2,2]=>11001010=>5 [7,1,5,4,2,6,3,8]=>[2,8,4,5,7,3,6,1]=>[2,3,2,1]=>10100101=>6 [5,6,1,8,3,2,4,7]=>[4,3,8,1,6,7,5,2]=>[1,2,3,1,1]=>11010011=>4 [2,5,3,6,7,1,8,4]=>[7,4,6,3,2,8,1,5]=>[1,2,1,2,2]=>11011010=>5 [9,8,7,6,5,3,2,4,1]=>[1,2,3,4,5,7,8,6,9]=>[7,2]=>100000010=>3 [9,8,7,6,5,2,4,3,1]=>[1,2,3,4,5,8,6,7,9]=>[6,3]=>100000100=>3 [2,3,4,6,8,1,7,5]=>[7,6,5,3,1,8,2,4]=>[1,1,1,1,2,2]=>11111010=>3 [8,3,4,5,6,7,9,2,1]=>[2,7,6,5,4,3,1,8,9]=>[2,1,1,1,1,3]=>101111100=>3 [2,3,5,8,1,6,7,4]=>[7,6,4,1,8,3,2,5]=>[1,1,1,2,1,2]=>11110110=>3 [2,4,7,5,6,8,1,3]=>[7,5,2,4,3,1,8,6]=>[1,1,2,1,2,1]=>11101101=>4 [7,3,4,6,2,8,1,5]=>[2,6,5,3,7,1,8,4]=>[2,1,2,2,1]=>10110101=>6 [4,7,6,5,2,8,3,1]=>[5,2,3,4,7,1,6,8]=>[1,4,3]=>11000100=>3 [7,5,4,1,6,8,2,3]=>[2,4,5,8,3,1,7,6]=>[4,1,2,1]=>10001101=>4 [8,5,2,1,7,6,3,4]=>[1,4,7,8,2,3,6,5]=>[4,3,1]=>10001001=>4 [6,5,4,8,2,1,3,7]=>[3,4,5,1,7,8,6,2]=>[3,3,1,1]=>10010011=>4 [5,4,7,3,2,1,8,6]=>[4,5,2,6,7,8,1,3]=>[2,4,2]=>10100010=>5 [2,7,3,6,4,1,8,5]=>[7,2,6,3,5,8,1,4]=>[1,2,3,2]=>11010010=>5 [2,6,7,5,3,1,8,4]=>[7,3,2,4,6,8,1,5]=>[1,1,4,2]=>11100010=>3 [8,7,3,6,5,4,1,2]=>[1,2,6,3,4,5,8,7]=>[3,4,1]=>10010001=>4 [5,8,4,1,7,3,6,2]=>[4,1,5,8,2,6,3,7]=>[1,3,2,2]=>11001010=>5 [5,1,4,6,8,7,3,2]=>[4,8,5,3,1,2,6,7]=>[2,1,1,4]=>10111000=>3 [3,6,5,1,4,8,2,7]=>[6,3,4,8,5,1,7,2]=>[1,3,1,2,1]=>11001101=>4 [6,2,1,5,4,8,3,7]=>[3,7,8,4,5,1,6,2]=>[3,2,2,1]=>10010101=>6 [6,3,5,4,8,1,2,7]=>[3,6,4,5,1,8,7,2]=>[2,2,2,1,1]=>10101011=>6 [1,5,4,6,2,3,8,7]=>[8,4,5,3,7,6,1,2]=>[1,2,2,1,2]=>11010110=>5 [8,5,7,6,3,4,2,1]=>[1,4,2,3,6,5,7,8]=>[2,3,3]=>10100100=>5 [8,2,1,5,7,3,6,4]=>[1,7,8,4,2,6,3,5]=>[3,1,2,2]=>10011010=>5 [3,2,8,5,1,7,6,4]=>[6,7,1,4,8,2,3,5]=>[2,3,3]=>10100100=>5 [3,1,5,6,4,2,8,7]=>[6,8,4,3,5,7,1,2]=>[2,1,3,2]=>10110010=>5 [8,5,6,4,3,1,7,2]=>[1,4,3,5,6,8,2,7]=>[2,4,2]=>10100010=>5 [8,3,5,6,7,1,2,4]=>[1,6,4,3,2,8,7,5]=>[2,1,1,2,1,1]=>10111011=>4 [2,1,4,7,3,6,8,5]=>[7,8,5,2,6,3,1,4]=>[2,1,2,1,2]=>10110110=>5 [5,3,7,6,4,8,2,1]=>[4,6,2,3,5,1,7,8]=>[2,3,3]=>10100100=>5 [3,7,6,4,2,8,1,5]=>[6,2,3,5,7,1,8,4]=>[1,4,2,1]=>11000101=>4 [8,6,1,4,3,7,2,5]=>[1,3,8,5,6,2,7,4]=>[3,2,2,1]=>10010101=>6 [8,4,7,5,1,6,3,2]=>[1,5,2,4,8,3,6,7]=>[2,3,3]=>10100100=>5 [2,1,5,3,7,8,6,4]=>[7,8,4,6,2,1,3,5]=>[2,2,1,3]=>10101100=>5 [5,1,4,7,6,8,2,3]=>[4,8,5,2,3,1,7,6]=>[2,1,2,2,1]=>10110101=>6 [8,4,1,3,7,6,5,2]=>[1,5,8,6,2,3,4,7]=>[3,1,4]=>10011000=>3 [8,3,4,1,6,7,5,2]=>[1,6,5,8,3,2,4,7]=>[2,2,1,3]=>10101100=>5 [8,1,4,2,6,5,7,3]=>[1,8,5,7,3,4,2,6]=>[2,2,2,2]=>10101010=>7 [3,7,6,8,1,4,5,2]=>[6,2,3,1,8,5,4,7]=>[1,2,2,1,2]=>11010110=>5 [3,7,5,8,4,1,6,2]=>[6,2,4,1,5,8,3,7]=>[1,2,3,2]=>11010010=>5 [3,6,5,4,8,7,1,2]=>[6,3,4,5,1,2,8,7]=>[1,3,3,1]=>11001001=>4 [3,6,5,4,1,7,8,2]=>[6,3,4,5,8,2,1,7]=>[1,4,1,2]=>11000110=>3 [3,6,5,4,7,8,1,2]=>[6,3,4,5,2,1,8,7]=>[1,3,1,2,1]=>11001101=>4 [8,6,5,3,1,7,2,4]=>[1,3,4,6,8,2,7,5]=>[5,2,1]=>10000101=>4 [8,6,4,3,7,2,1,5]=>[1,3,5,6,2,7,8,4]=>[4,3,1]=>10001001=>4 [8,6,4,3,1,2,7,5]=>[1,3,5,6,8,7,2,4]=>[5,1,2]=>10000110=>3 [7,8,1,4,3,2,6,5]=>[2,1,8,5,6,7,3,4]=>[1,2,3,2]=>11010010=>5 [5,8,1,4,3,2,6,7]=>[4,1,8,5,6,7,3,2]=>[1,2,3,1,1]=>11010011=>4 [5,6,4,3,8,2,7,1]=>[4,3,5,6,1,7,2,8]=>[1,3,2,2]=>11001010=>5 [1,6,4,3,8,2,7,5]=>[8,3,5,6,1,7,2,4]=>[1,3,2,2]=>11001010=>5 [5,8,1,6,7,3,2,4]=>[4,1,8,3,2,6,7,5]=>[1,2,1,3,1]=>11011001=>4 [1,5,4,3,2,8,6,7]=>[8,4,5,6,7,1,3,2]=>[1,4,2,1]=>11000101=>4 [6,7,4,1,3,2,5,8]=>[3,2,5,8,6,7,4,1]=>[1,3,2,1,1]=>11001011=>4 [7,8,1,4,3,2,5,6]=>[2,1,8,5,6,7,4,3]=>[1,2,3,1,1]=>11010011=>4 [8,7,4,1,3,2,5,6]=>[1,2,5,8,6,7,4,3]=>[4,2,1,1]=>10001011=>4 [4,3,1,8,6,5,7,2]=>[5,6,8,1,3,4,2,7]=>[3,3,2]=>10010010=>5 [5,2,3,7,4,1,8,6]=>[4,7,6,2,5,8,1,3]=>[2,1,3,2]=>10110010=>5 [2,1,7,4,3,6,8,5]=>[7,8,2,5,6,3,1,4]=>[2,3,1,2]=>10100110=>5 [7,1,2,4,5,6,8,3]=>[2,8,7,5,4,3,1,6]=>[2,1,1,1,1,2]=>10111110=>3 [2,8,7,1,4,5,6,3]=>[7,1,2,8,5,4,3,6]=>[1,3,1,1,2]=>11001110=>3 [8,7,1,3,4,5,6,2]=>[1,2,8,6,5,4,3,7]=>[3,1,1,1,2]=>10011110=>3 [1,7,2,5,4,6,8,3]=>[8,2,7,4,5,3,1,6]=>[1,2,2,1,2]=>11010110=>5 [2,5,3,8,1,6,7,4]=>[7,4,6,1,8,3,2,5]=>[1,2,2,1,2]=>11010110=>5 [1,6,4,2,5,7,8,3]=>[8,3,5,7,4,2,1,6]=>[1,3,1,1,2]=>11001110=>3 [6,5,3,4,1,7,8,2]=>[3,4,6,5,8,2,1,7]=>[3,2,1,2]=>10010110=>5 [5,6,3,4,1,7,8,2]=>[4,3,6,5,8,2,1,7]=>[1,2,2,1,2]=>11010110=>5 [2,5,3,1,4,7,8,6]=>[7,4,6,8,5,2,1,3]=>[1,3,1,1,2]=>11001110=>3 [6,8,2,3,1,5,7,4]=>[3,1,7,6,8,4,2,5]=>[1,2,2,1,2]=>11010110=>5 [4,3,1,5,2,7,8,6]=>[5,6,8,4,7,2,1,3]=>[3,2,1,2]=>10010110=>5 [5,2,3,1,4,7,8,6]=>[4,7,6,8,5,2,1,3]=>[2,2,1,1,2]=>10101110=>5 [7,2,1,3,5,6,8,4]=>[2,7,8,6,4,3,1,5]=>[3,1,1,1,2]=>10011110=>3 [7,3,6,4,5,8,1,2]=>[2,6,3,5,4,1,8,7]=>[2,2,1,2,1]=>10101101=>6 [6,4,3,7,5,8,2,1]=>[3,5,6,2,4,1,7,8]=>[3,2,3]=>10010100=>5 [5,2,4,7,8,6,3,1]=>[4,7,5,2,1,3,6,8]=>[2,1,1,4]=>10111000=>3 [5,4,8,7,2,3,1,6]=>[4,5,1,2,7,6,8,3]=>[2,3,2,1]=>10100101=>6 [8,1,4,5,3,6,2,7]=>[1,8,5,4,6,3,7,2]=>[2,1,2,2,1]=>10110101=>6 [8,3,5,1,4,6,2,7]=>[1,6,4,8,5,3,7,2]=>[2,2,1,2,1]=>10101101=>6 [5,8,2,1,7,4,3,6]=>[4,1,7,8,2,5,6,3]=>[1,3,3,1]=>11001001=>4 [6,5,7,2,1,8,4,3]=>[3,4,2,7,8,1,5,6]=>[2,3,3]=>10100100=>5 [1,5,4,7,3,8,6,2]=>[8,4,5,2,6,1,3,7]=>[1,2,2,3]=>11010100=>5 [7,4,1,3,8,5,6,2]=>[2,5,8,6,1,4,3,7]=>[3,1,2,2]=>10011010=>5 [3,6,8,4,1,7,2,5]=>[6,3,1,5,8,2,7,4]=>[1,1,3,2,1]=>11100101=>4 [2,1,8,4,7,6,3,5]=>[7,8,1,5,2,3,6,4]=>[2,2,3,1]=>10101001=>6 [2,7,5,6,8,4,3,1]=>[7,2,4,3,1,5,6,8]=>[1,2,1,4]=>11011000=>3 [3,5,2,4,7,8,6,1]=>[6,4,7,5,2,1,3,8]=>[1,2,1,1,3]=>11011100=>3 [7,5,6,3,8,2,1,4]=>[2,4,3,6,1,7,8,5]=>[2,2,3,1]=>10101001=>6 [1,6,2,7,4,5,8,3]=>[8,3,7,2,5,4,1,6]=>[1,2,2,1,2]=>11010110=>5 [7,4,2,6,1,5,8,3]=>[2,5,7,3,8,4,1,6]=>[3,2,1,2]=>10010110=>5 [8,4,1,6,2,5,7,3]=>[1,5,8,3,7,4,2,6]=>[3,2,1,2]=>10010110=>5 [7,3,4,5,1,6,8,2]=>[2,6,5,4,8,3,1,7]=>[2,1,2,1,2]=>10110110=>5 [6,2,3,7,5,4,8,1]=>[3,7,6,2,4,5,1,8]=>[2,1,3,2]=>10110010=>5 [7,6,2,4,3,5,8,1]=>[2,3,7,5,6,4,1,8]=>[3,2,1,2]=>10010110=>5 [6,3,1,7,5,8,4,2]=>[3,6,8,2,4,1,5,7]=>[3,2,3]=>10010100=>5 [3,5,8,7,1,6,4,2]=>[6,4,1,2,8,3,5,7]=>[1,1,3,3]=>11100100=>3 [8,4,2,7,6,1,5,3]=>[1,5,7,2,3,8,4,6]=>[3,3,2]=>10010010=>5 [8,4,7,1,2,6,5,3]=>[1,5,2,8,7,3,4,6]=>[2,2,1,3]=>10101100=>5 [8,7,6,2,3,5,1,4]=>[1,2,3,7,6,4,8,5]=>[4,1,2,1]=>10001101=>4 [7,8,4,6,1,2,5,3]=>[2,1,5,3,8,7,4,6]=>[1,2,2,1,2]=>11010110=>5 [4,1,6,7,5,8,3,2]=>[5,8,3,2,4,1,6,7]=>[2,1,2,3]=>10110100=>5 [5,7,2,8,1,6,4,3]=>[4,2,7,1,8,3,5,6]=>[1,2,2,3]=>11010100=>5 [8,4,7,1,6,5,2,3]=>[1,5,2,8,3,4,7,6]=>[2,2,3,1]=>10101001=>6 [8,4,7,6,1,2,5,3]=>[1,5,2,3,8,7,4,6]=>[2,3,1,2]=>10100110=>5 [3,8,7,4,6,1,5,2]=>[6,1,2,5,3,8,4,7]=>[1,3,2,2]=>11001010=>5 [8,7,6,2,1,5,3,4]=>[1,2,3,7,8,4,6,5]=>[5,2,1]=>10000101=>4 [5,7,8,1,6,2,4,3]=>[4,2,1,8,3,7,5,6]=>[1,1,2,2,2]=>11101010=>5 [8,7,6,2,1,3,5,4]=>[1,2,3,7,8,6,4,5]=>[5,1,2]=>10000110=>3 [6,8,4,7,5,2,1,3]=>[3,1,5,2,4,7,8,6]=>[1,2,4,1]=>11010001=>4 [7,9,8,5,6,3,4,1,2]=>[3,1,2,5,4,7,6,9,8]=>[1,3,2,2,1]=>110010101=>6 [6,8,2,7,1,5,4,3]=>[3,1,7,2,8,4,5,6]=>[1,2,2,3]=>11010100=>5 [6,8,7,4,2,5,1,3]=>[3,1,2,5,7,4,8,6]=>[1,4,2,1]=>11000101=>4 [6,8,4,5,2,1,3,7]=>[3,1,5,4,7,8,6,2]=>[1,2,3,1,1]=>11010011=>4 [6,8,4,5,7,2,1,3]=>[3,1,5,4,2,7,8,6]=>[1,2,1,3,1]=>11011001=>4 [6,8,4,2,5,7,1,3]=>[3,1,5,7,4,2,8,6]=>[1,3,1,2,1]=>11001101=>4 [6,8,4,2,5,1,3,7]=>[3,1,5,7,4,8,6,2]=>[1,3,2,1,1]=>11001011=>4 [8,1,4,6,2,3,7,5]=>[1,8,5,3,7,6,2,4]=>[2,1,2,1,2]=>10110110=>5 [4,8,6,2,3,7,1,5]=>[5,1,3,7,6,2,8,4]=>[1,3,1,2,1]=>11001101=>4 [2,5,3,7,6,4,8,1]=>[7,4,6,2,3,5,1,8]=>[1,2,3,2]=>11010010=>5 [3,1,5,7,6,4,2,8]=>[6,8,4,2,3,5,7,1]=>[2,1,4,1]=>10110001=>4 [3,1,6,5,4,7,2,8]=>[6,8,3,4,5,2,7,1]=>[2,3,2,1]=>10100101=>6 [2,5,6,8,3,4,7,1]=>[7,4,3,1,6,5,2,8]=>[1,1,1,2,1,2]=>11110110=>3 [4,1,3,6,5,2,7,8]=>[5,8,6,3,4,7,2,1]=>[2,1,3,1,1]=>10110011=>4 [3,6,2,4,5,7,1,8]=>[6,3,7,5,4,2,8,1]=>[1,2,1,1,2,1]=>11011101=>4 [3,6,2,5,4,7,1,8]=>[6,3,7,4,5,2,8,1]=>[1,2,2,2,1]=>11010101=>6 [3,5,1,7,6,4,2,8]=>[6,4,8,2,3,5,7,1]=>[1,2,4,1]=>11010001=>4 [3,6,1,4,5,7,2,8]=>[6,3,8,5,4,2,7,1]=>[1,2,1,1,2,1]=>11011101=>4 [4,1,2,6,5,3,7,8]=>[5,8,7,3,4,6,2,1]=>[2,1,3,1,1]=>10110011=>4 [4,6,1,3,5,2,7,8]=>[5,3,8,6,4,7,2,1]=>[1,2,1,2,1,1]=>11011011=>4 [4,2,6,3,5,1,7,8]=>[5,7,3,6,4,8,2,1]=>[2,2,2,1,1]=>10101011=>6 [3,4,7,6,5,1,2,8]=>[6,5,2,3,4,8,7,1]=>[1,1,4,1,1]=>11100011=>2 [4,6,1,2,5,3,7,8]=>[5,3,8,7,4,6,2,1]=>[1,2,1,2,1,1]=>11011011=>4 [2,5,4,7,3,6,8,1]=>[7,4,5,2,6,3,1,8]=>[1,2,2,1,2]=>11010110=>5 [2,5,4,8,6,1,7,3]=>[7,4,5,1,3,8,2,6]=>[1,2,3,2]=>11010010=>5 [2,4,3,7,5,8,6,1]=>[7,5,6,2,4,1,3,8]=>[1,2,2,3]=>11010100=>5 [2,6,5,1,4,8,7,3]=>[7,3,4,8,5,1,2,6]=>[1,3,1,3]=>11001100=>3 [2,6,5,1,7,3,8,4]=>[7,3,4,8,2,6,1,5]=>[1,3,2,2]=>11001010=>5 [5,8,4,7,1,3,6,2]=>[4,1,5,2,8,6,3,7]=>[1,2,2,1,2]=>11010110=>5 [6,4,7,1,3,5,2,8]=>[3,5,2,8,6,4,7,1]=>[2,2,1,2,1]=>10101101=>6 [6,8,1,3,5,7,4,2]=>[3,1,8,6,4,2,5,7]=>[1,2,1,1,3]=>11011100=>3 [5,8,3,2,7,4,6,1]=>[4,1,6,7,2,5,3,8]=>[1,3,2,2]=>11001010=>5 [6,8,1,2,5,3,7,4]=>[3,1,8,7,4,6,2,5]=>[1,2,1,2,2]=>11011010=>5 [5,2,8,3,4,6,7,1]=>[4,7,1,6,5,3,2,8]=>[2,2,1,1,2]=>10101110=>5 [5,2,7,1,6,4,8,3]=>[4,7,2,8,3,5,1,6]=>[2,2,2,2]=>10101010=>7 [4,5,2,6,1,3,7,8]=>[5,4,7,3,8,6,2,1]=>[1,2,2,1,1,1]=>11010111=>4 [4,3,5,8,6,1,7,2]=>[5,6,4,1,3,8,2,7]=>[2,1,3,2]=>10110010=>5 [3,1,7,8,5,6,2,4]=>[6,8,2,1,4,3,7,5]=>[2,1,2,2,1]=>10110101=>6 [6,2,1,7,5,3,4,8]=>[3,7,8,2,4,6,5,1]=>[3,3,1,1]=>10010011=>4 [3,7,1,8,5,2,4,6]=>[6,2,8,1,4,7,5,3]=>[1,2,3,1,1]=>11010011=>4 [4,2,8,6,7,1,3,5]=>[5,7,1,3,2,8,6,4]=>[2,2,2,1,1]=>10101011=>6 [6,1,2,4,7,3,5,8]=>[3,8,7,5,2,6,4,1]=>[2,1,1,2,1,1]=>10111011=>4 [5,3,1,6,4,7,2,8]=>[4,6,8,3,5,2,7,1]=>[3,2,2,1]=>10010101=>6 [1,2,4,5,8,7,3,6]=>[8,7,5,4,1,2,6,3]=>[1,1,1,1,3,1]=>11111001=>2 [1,3,4,7,5,8,6,2]=>[8,6,5,2,4,1,3,7]=>[1,1,1,2,3]=>11110100=>3 [1,5,2,3,7,8,6,4]=>[8,4,7,6,2,1,3,5]=>[1,2,1,1,3]=>11011100=>3 [1,3,5,2,7,4,9,6,8]=>[9,7,5,8,3,6,1,4,2]=>[1,1,2,2,2,1]=>111010101=>6 [1,3,5,7,2,4,6,9,8]=>[9,7,5,3,8,6,4,1,2]=>[1,1,1,2,1,1,2]=>111101110=>3 [1,3,5,7,9,2,4,6,8]=>[9,7,5,3,1,8,6,4,2]=>[1,1,1,1,2,1,1,1]=>111110111=>2 [5,6,1,4,8,3,2,7]=>[4,3,8,5,1,6,7,2]=>[1,2,1,3,1]=>11011001=>4 [3,6,4,1,7,2,8,5]=>[6,3,5,8,2,7,1,4]=>[1,3,2,2]=>11001010=>5 [6,4,2,8,1,9,7,5,3]=>[4,6,8,2,9,1,3,5,7]=>[3,2,4]=>100101000=>5 [6,5,4,3,2,8,1,9,7]=>[4,5,6,7,8,2,9,1,3]=>[5,2,2]=>100001010=>5 [2,4,1,3,7,8,6,5]=>[7,5,8,6,2,1,3,4]=>[1,2,1,1,3]=>11011100=>3 [2,6,1,5,7,8,4,3]=>[7,3,8,4,2,1,5,6]=>[1,2,1,1,3]=>11011100=>3 [4,7,6,8,2,3,5,1]=>[5,2,3,1,7,6,4,8]=>[1,2,2,1,2]=>11010110=>5 [5,7,4,8,1,2,6,3]=>[4,2,5,1,8,7,3,6]=>[1,2,2,1,2]=>11010110=>5 [3,6,7,5,8,1,4,2]=>[6,3,2,4,1,8,5,7]=>[1,1,2,2,2]=>11101010=>5 [3,7,5,6,8,2,4,1]=>[6,2,4,3,1,7,5,8]=>[1,2,1,2,2]=>11011010=>5 [1,5,4,7,2,6,3,8]=>[8,4,5,2,7,3,6,1]=>[1,2,2,2,1]=>11010101=>6 [2,4,5,8,3,1,7,6]=>[7,5,4,1,6,8,2,3]=>[1,1,1,3,2]=>11110010=>3 [1,4,7,5,8,3,6,2]=>[8,5,2,4,1,6,3,7]=>[1,1,2,2,2]=>11101010=>5 [2,6,8,7,3,5,1,4]=>[7,3,1,2,6,4,8,5]=>[1,1,3,2,1]=>11100101=>4 [4,7,8,6,2,5,1,3]=>[5,2,1,3,7,4,8,6]=>[1,1,3,2,1]=>11100101=>4 [4,8,7,3,5,6,2,1]=>[5,1,2,6,4,3,7,8]=>[1,3,1,3]=>11001100=>3 [1,3,6,2,5,8,7,4]=>[8,6,3,7,4,1,2,5]=>[1,1,2,1,3]=>11101100=>3 [5,8,7,1,4,6,3,2]=>[4,1,2,8,5,3,6,7]=>[1,3,1,3]=>11001100=>3 [6,2,5,1,3,4,8,7]=>[3,7,4,8,6,5,1,2]=>[2,2,1,1,2]=>10101110=>5 [2,6,5,1,3,4,8,7]=>[7,3,4,8,6,5,1,2]=>[1,3,1,1,2]=>11001110=>3 [4,6,5,1,2,7,3,8]=>[5,3,4,8,7,2,6,1]=>[1,3,1,2,1]=>11001101=>4 [5,6,4,1,2,7,3,8]=>[4,3,5,8,7,2,6,1]=>[1,3,1,2,1]=>11001101=>4 [8,1,5,6,2,4,3,7]=>[1,8,4,3,7,5,6,2]=>[2,1,2,2,1]=>10110101=>6 [6,4,5,1,2,7,3,8]=>[3,5,4,8,7,2,6,1]=>[2,2,1,2,1]=>10101101=>6 [5,4,6,1,3,2,7,8]=>[4,5,3,8,6,7,2,1]=>[2,2,2,1,1]=>10101011=>6 [5,7,1,4,3,2,6,8]=>[4,2,8,5,6,7,3,1]=>[1,2,3,1,1]=>11010011=>4 [2,6,4,1,3,7,5,8]=>[7,3,5,8,6,2,4,1]=>[1,3,1,2,1]=>11001101=>4 [7,5,4,3,8,6,1,2]=>[2,4,5,6,1,3,8,7]=>[4,3,1]=>10001001=>4 [5,8,2,3,7,1,4,6]=>[4,1,7,6,2,8,5,3]=>[1,2,1,2,1,1]=>11011011=>4 [2,7,4,3,1,8,6,5]=>[7,2,5,6,8,1,3,4]=>[1,4,3]=>11000100=>3 [7,8,5,3,2,1,6,4]=>[2,1,4,6,7,8,3,5]=>[1,5,2]=>11000010=>3 [1,5,8,3,4,2,6,7]=>[8,4,1,6,5,7,3,2]=>[1,1,2,2,1,1]=>11101011=>4 [7,1,6,5,2,4,8,3]=>[2,8,3,4,7,5,1,6]=>[2,3,1,2]=>10100110=>5 [5,1,3,8,2,6,7,4]=>[4,8,6,1,7,3,2,5]=>[2,1,2,1,2]=>10110110=>5 [1,2,6,7,8,4,5,3]=>[8,7,3,2,1,5,4,6]=>[1,1,1,1,2,2]=>11111010=>3 [6,1,4,8,2,7,5,3]=>[3,8,5,1,7,2,4,6]=>[2,1,2,3]=>10110100=>5 [7,4,8,1,2,5,3,6]=>[2,5,1,8,7,4,6,3]=>[2,2,1,2,1]=>10101101=>6 [6,2,8,1,5,4,3,7]=>[3,7,1,8,4,5,6,2]=>[2,2,3,1]=>10101001=>6 [1,3,5,6,8,2,7,4]=>[8,6,4,3,1,7,2,5]=>[1,1,1,1,2,2]=>11111010=>3 [7,6,4,1,3,2,5,8]=>[2,3,5,8,6,7,4,1]=>[4,2,1,1]=>10001011=>4 [3,4,5,7,1,6,8,2]=>[6,5,4,2,8,3,1,7]=>[1,1,1,2,1,2]=>11110110=>3 [5,2,3,7,1,8,4,6]=>[4,7,6,2,8,1,5,3]=>[2,1,2,2,1]=>10110101=>6 [3,5,4,8,2,1,6,7]=>[6,4,5,1,7,8,3,2]=>[1,2,3,1,1]=>11010011=>4 [7,2,3,1,8,4,6,5]=>[2,7,6,8,1,5,3,4]=>[2,2,2,2]=>10101010=>7 [1,8,6,7,4,3,2,5]=>[8,1,3,2,5,6,7,4]=>[1,2,4,1]=>11010001=>4 [2,5,3,1,4,8,7,6]=>[7,4,6,8,5,1,2,3]=>[1,3,1,3]=>11001100=>3 [5,4,1,7,3,2,8,6]=>[4,5,8,2,6,7,1,3]=>[3,3,2]=>10010010=>5 [7,3,4,5,1,8,6,2]=>[2,6,5,4,8,1,3,7]=>[2,1,2,3]=>10110100=>5 [1,5,6,7,4,8,2,3]=>[8,4,3,2,5,1,7,6]=>[1,1,1,2,2,1]=>11110101=>4 [7,8,1,5,4,3,2,6]=>[2,1,8,4,5,6,7,3]=>[1,2,4,1]=>11010001=>4 [3,1,4,7,2,6,5,8]=>[6,8,5,2,7,3,4,1]=>[2,1,2,2,1]=>10110101=>6 [3,2,7,5,1,6,4,8]=>[6,7,2,4,8,3,5,1]=>[2,3,2,1]=>10100101=>6 [6,3,2,5,7,4,8,1]=>[3,6,7,4,2,5,1,8]=>[3,1,2,2]=>10011010=>5 [5,7,3,8,1,2,4,6]=>[4,2,6,1,8,7,5,3]=>[1,2,2,1,1,1]=>11010111=>4 [4,5,2,7,6,3,1,8]=>[5,4,7,2,3,6,8,1]=>[1,2,4,1]=>11010001=>4 [4,5,2,1,7,6,3,8]=>[5,4,7,8,2,3,6,1]=>[1,3,3,1]=>11001001=>4 [2,7,5,1,3,6,4,8]=>[7,2,4,8,6,3,5,1]=>[1,3,1,2,1]=>11001101=>4 [2,7,5,6,1,4,3,8]=>[7,2,4,3,8,5,6,1]=>[1,2,2,2,1]=>11010101=>6 [7,4,5,3,8,1,2,6]=>[2,5,4,6,1,8,7,3]=>[2,2,2,1,1]=>10101011=>6 [3,6,1,5,7,4,8,2]=>[6,3,8,4,2,5,1,7]=>[1,2,1,2,2]=>11011010=>5 [5,6,7,2,8,3,4,1]=>[4,3,2,7,1,6,5,8]=>[1,1,2,2,2]=>11101010=>5 [2,6,7,8,3,1,4,5]=>[7,3,2,1,6,8,5,4]=>[1,1,1,3,1,1]=>11110011=>2 [5,6,1,7,8,3,2,4]=>[4,3,8,2,1,6,7,5]=>[1,2,1,3,1]=>11011001=>4 [6,3,2,5,1,7,8,4]=>[3,6,7,4,8,2,1,5]=>[3,2,1,2]=>10010110=>5 [4,6,3,7,8,2,1,5]=>[5,3,6,2,1,7,8,4]=>[1,2,1,3,1]=>11011001=>4 [4,6,3,7,8,2,5,1]=>[5,3,6,2,1,7,4,8]=>[1,2,1,2,2]=>11011010=>5 [6,7,3,4,8,2,5,1]=>[3,2,6,5,1,7,4,8]=>[1,2,1,2,2]=>11011010=>5 [6,7,3,4,8,2,1,5]=>[3,2,6,5,1,7,8,4]=>[1,2,1,3,1]=>11011001=>4 [7,3,4,1,5,8,2,6]=>[2,6,5,8,4,1,7,3]=>[2,2,1,2,1]=>10101101=>6 [5,6,7,1,8,4,2,3]=>[4,3,2,8,1,5,7,6]=>[1,1,2,3,1]=>11101001=>4 [1,7,8,4,6,5,2,3]=>[8,2,1,5,3,4,7,6]=>[1,1,2,3,1]=>11101001=>4 [1,7,3,2,8,6,5,4]=>[8,2,6,7,1,3,4,5]=>[1,3,4]=>11001000=>3 [3,7,1,2,8,6,5,4]=>[6,2,8,7,1,3,4,5]=>[1,2,1,4]=>11011000=>3 [2,7,3,1,8,6,5,4]=>[7,2,6,8,1,3,4,5]=>[1,3,4]=>11001000=>3 [2,7,8,1,6,5,3,4]=>[7,2,1,8,3,4,6,5]=>[1,1,2,3,1]=>11101001=>4 [6,8,1,3,4,7,5,2]=>[3,1,8,6,5,2,4,7]=>[1,2,1,1,3]=>11011100=>3 [6,2,8,7,1,5,3,4]=>[3,7,1,2,8,4,6,5]=>[2,3,2,1]=>10100101=>6 [2,5,8,1,7,6,3,4]=>[7,4,1,8,2,3,6,5]=>[1,1,2,3,1]=>11101001=>4 [2,4,8,7,6,3,1,5]=>[7,5,1,2,3,6,8,4]=>[1,1,5,1]=>11100001=>2 [5,1,8,7,3,4,6,2]=>[4,8,1,2,6,5,3,7]=>[2,3,1,2]=>10100110=>5 [8,1,5,7,3,4,6,2]=>[1,8,4,2,6,5,3,7]=>[2,1,2,1,2]=>10110110=>5 [5,8,2,7,6,3,1,4]=>[4,1,7,2,3,6,8,5]=>[1,2,4,1]=>11010001=>4 [2,8,4,7,6,3,1,5]=>[7,1,5,2,3,6,8,4]=>[1,2,4,1]=>11010001=>4 [1,8,2,4,7,6,3,5]=>[8,1,7,5,2,3,6,4]=>[1,2,1,3,1]=>11011001=>4 [1,4,8,7,6,3,2,5]=>[8,5,1,2,3,6,7,4]=>[1,1,5,1]=>11100001=>2 [1,8,4,7,6,3,2,5]=>[8,1,5,2,3,6,7,4]=>[1,2,4,1]=>11010001=>4 [8,3,1,5,6,7,4,2]=>[1,6,8,4,3,2,5,7]=>[3,1,1,3]=>10011100=>3 [2,5,1,6,8,7,4,3]=>[7,4,8,3,1,2,5,6]=>[1,2,1,4]=>11011000=>3 [4,5,8,7,1,6,2,3]=>[5,4,1,2,8,3,7,6]=>[1,1,3,2,1]=>11100101=>4 [3,2,6,1,8,7,5,4]=>[6,7,3,8,1,2,4,5]=>[2,2,4]=>10101000=>5 [3,1,4,8,7,5,6,2]=>[6,8,5,1,2,4,3,7]=>[2,1,3,2]=>10110010=>5 [1,3,5,8,6,7,4,2]=>[8,6,4,1,3,2,5,7]=>[1,1,1,2,3]=>11110100=>3 [1,8,2,4,6,7,5,3]=>[8,1,7,5,3,2,4,6]=>[1,2,1,1,3]=>11011100=>3 [1,4,7,3,8,5,6,2]=>[8,5,2,6,1,4,3,7]=>[1,1,2,2,2]=>11101010=>5 [1,4,7,8,2,5,6,3]=>[8,5,2,1,7,4,3,6]=>[1,1,1,2,1,2]=>11110110=>3 [2,3,7,8,1,5,6,4]=>[7,6,2,1,8,4,3,5]=>[1,1,1,2,1,2]=>11110110=>3 [2,5,1,8,4,7,6,3]=>[7,4,8,1,5,2,3,6]=>[1,2,2,3]=>11010100=>5 [2,1,7,4,8,6,5,3]=>[7,8,2,5,1,3,4,6]=>[2,2,4]=>10101000=>5 [1,7,3,8,4,2,6,5]=>[8,2,6,1,5,7,3,4]=>[1,2,3,2]=>11010010=>5 [2,3,7,1,8,6,5,4]=>[7,6,2,8,1,3,4,5]=>[1,1,2,4]=>11101000=>3 [3,4,2,8,1,7,6,5]=>[6,5,7,1,8,2,3,4]=>[1,2,2,3]=>11010100=>5 [2,4,5,8,1,7,6,3]=>[7,5,4,1,8,2,3,6]=>[1,1,1,2,3]=>11110100=>3 [2,3,8,5,1,7,6,4]=>[7,6,1,4,8,2,3,5]=>[1,1,3,3]=>11100100=>3 [1,8,3,5,2,7,6,4]=>[8,1,6,4,7,2,3,5]=>[1,2,2,3]=>11010100=>5 [3,1,8,2,6,7,5,4]=>[6,8,1,7,3,2,4,5]=>[2,2,1,3]=>10101100=>5 [3,1,7,2,8,6,5,4]=>[6,8,2,7,1,3,4,5]=>[2,2,4]=>10101000=>5 [2,6,8,1,4,3,7,5]=>[7,3,1,8,5,6,2,4]=>[1,1,2,2,2]=>11101010=>5 [4,1,8,2,6,7,3,5]=>[5,8,1,7,3,2,6,4]=>[2,2,1,2,1]=>10101101=>6 [1,6,5,2,8,7,3,4]=>[8,3,4,7,1,2,6,5]=>[1,3,3,1]=>11001001=>4 [2,6,1,5,8,7,3,4]=>[7,3,8,4,1,2,6,5]=>[1,2,1,3,1]=>11011001=>4 [8,1,7,3,5,2,4,6]=>[1,8,2,6,4,7,5,3]=>[2,2,2,1,1]=>10101011=>6 [8,1,3,2,7,6,4,5]=>[1,8,6,7,2,3,5,4]=>[2,2,3,1]=>10101001=>6 [8,1,6,5,3,2,7,4]=>[1,8,3,4,6,7,2,5]=>[2,4,2]=>10100010=>5 [8,1,7,6,3,2,5,4]=>[1,8,2,3,6,7,4,5]=>[2,4,2]=>10100010=>5 [7,3,4,8,6,2,5,1]=>[2,6,5,1,3,7,4,8]=>[2,1,3,2]=>10110010=>5 [5,7,1,4,3,2,8,6]=>[4,2,8,5,6,7,1,3]=>[1,2,3,2]=>11010010=>5 [6,7,5,3,2,8,1,4]=>[3,2,4,6,7,1,8,5]=>[1,4,2,1]=>11000101=>4 [6,8,4,5,3,1,7,2]=>[3,1,5,4,6,8,2,7]=>[1,2,3,2]=>11010010=>5 [6,7,4,5,3,1,8,2]=>[3,2,5,4,6,8,1,7]=>[1,2,3,2]=>11010010=>5 [6,2,5,3,4,1,7,8]=>[3,7,4,6,5,8,2,1]=>[2,2,2,1,1]=>10101011=>6 [7,4,6,5,1,2,8,3]=>[2,5,3,4,8,7,1,6]=>[2,3,1,2]=>10100110=>5 [6,5,4,8,3,1,7,2]=>[3,4,5,1,6,8,2,7]=>[3,3,2]=>10010010=>5 [6,7,5,3,2,8,4,1]=>[3,2,4,6,7,1,5,8]=>[1,4,3]=>11000100=>3 [6,2,5,3,8,1,4,7]=>[3,7,4,6,1,8,5,2]=>[2,2,2,1,1]=>10101011=>6 [6,2,5,3,7,1,4,8]=>[3,7,4,6,2,8,5,1]=>[2,2,2,1,1]=>10101011=>6 [7,6,1,3,5,2,4,8]=>[2,3,8,6,4,7,5,1]=>[3,1,2,1,1]=>10011011=>4 [7,6,1,4,5,2,3,8]=>[2,3,8,5,4,7,6,1]=>[3,1,2,1,1]=>10011011=>4 [7,6,8,1,4,2,5,3]=>[2,3,1,8,5,7,4,6]=>[2,2,2,2]=>10101010=>7 [6,3,5,1,8,7,4,2]=>[3,6,4,8,1,2,5,7]=>[2,2,4]=>10101000=>5 [6,8,5,3,2,7,4,1]=>[3,1,4,6,7,2,5,8]=>[1,4,3]=>11000100=>3 [6,3,4,7,2,8,1,5]=>[3,6,5,2,7,1,8,4]=>[2,1,2,2,1]=>10110101=>6 [6,3,4,8,2,7,1,5]=>[3,6,5,1,7,2,8,4]=>[2,1,2,2,1]=>10110101=>6 [6,2,4,5,3,8,1,7]=>[3,7,5,4,6,1,8,2]=>[2,1,2,2,1]=>10110101=>6 [5,2,7,4,3,1,8,6]=>[4,7,2,5,6,8,1,3]=>[2,4,2]=>10100010=>5 [5,8,6,4,3,2,7,1]=>[4,1,3,5,6,7,2,8]=>[1,5,2]=>11000010=>3 [5,8,7,4,3,2,6,1]=>[4,1,2,5,6,7,3,8]=>[1,5,2]=>11000010=>3 [8,1,2,6,3,5,4,7]=>[1,8,7,3,6,4,5,2]=>[2,1,2,2,1]=>10110101=>6 [6,1,5,4,7,8,3,2]=>[3,8,4,5,2,1,6,7]=>[2,2,1,3]=>10101100=>5 [8,1,5,4,6,3,2,7]=>[1,8,4,5,3,6,7,2]=>[2,2,3,1]=>10101001=>6 [3,8,5,4,2,7,6,1]=>[6,1,4,5,7,2,3,8]=>[1,4,3]=>11000100=>3 [5,6,1,4,8,7,2,3]=>[4,3,8,5,1,2,7,6]=>[1,2,1,3,1]=>11011001=>4 [5,6,2,4,8,1,7,3]=>[4,3,7,5,1,8,2,6]=>[1,2,1,2,2]=>11011010=>5 [7,6,5,3,1,4,8,2]=>[2,3,4,6,8,5,1,7]=>[5,1,2]=>10000110=>3 [1,6,2,4,5,8,7,3]=>[8,3,7,5,4,1,2,6]=>[1,2,1,1,3]=>11011100=>3 [7,1,2,5,3,8,6,4]=>[2,8,7,4,6,1,3,5]=>[2,1,2,3]=>10110100=>5 [3,6,8,4,1,5,7,2]=>[6,3,1,5,8,4,2,7]=>[1,1,3,1,2]=>11100110=>3 [2,6,1,4,5,7,8,3]=>[7,3,8,5,4,2,1,6]=>[1,2,1,1,1,2]=>11011110=>3 [1,8,2,6,3,5,7,4]=>[8,1,7,3,6,4,2,5]=>[1,2,2,1,2]=>11010110=>5 [7,5,8,1,3,4,2,6]=>[2,4,1,8,6,5,7,3]=>[2,2,1,2,1]=>10101101=>6 [1,4,2,8,3,5,7,6]=>[8,5,7,1,6,4,2,3]=>[1,2,2,1,2]=>11010110=>5 [7,5,2,1,3,6,8,4]=>[2,4,7,8,6,3,1,5]=>[4,1,1,2]=>10001110=>3 [1,3,5,4,8,7,2,6]=>[8,6,4,5,1,2,7,3]=>[1,1,2,3,1]=>11101001=>4 [7,6,5,2,1,3,8,4]=>[2,3,4,7,8,6,1,5]=>[5,1,2]=>10000110=>3 [1,6,2,4,8,3,7,5]=>[8,3,7,5,1,6,2,4]=>[1,2,1,2,2]=>11011010=>5 [7,1,2,8,3,4,6,5]=>[2,8,7,1,6,5,3,4]=>[2,1,2,1,2]=>10110110=>5 [7,6,3,8,4,1,2,5]=>[2,3,6,1,5,8,7,4]=>[3,3,1,1]=>10010011=>4 [7,1,3,2,6,5,4,8]=>[2,8,6,7,3,4,5,1]=>[2,2,3,1]=>10101001=>6 [1,3,6,2,7,5,8,4]=>[8,6,3,7,2,4,1,5]=>[1,1,2,2,2]=>11101010=>5 [1,7,8,5,4,2,6,3]=>[8,2,1,4,5,7,3,6]=>[1,1,4,2]=>11100010=>3 [1,5,2,8,6,4,7,3]=>[8,4,7,1,3,5,2,6]=>[1,2,3,2]=>11010010=>5 [1,8,4,2,6,5,7,3]=>[8,1,5,7,3,4,2,6]=>[1,3,2,2]=>11001010=>5 [1,6,5,2,7,4,8,3]=>[8,3,4,7,2,5,1,6]=>[1,3,2,2]=>11001010=>5 [6,7,1,8,4,2,5,3]=>[3,2,8,1,5,7,4,6]=>[1,2,3,2]=>11010010=>5 [4,1,7,8,5,2,6,3]=>[5,8,2,1,4,7,3,6]=>[2,1,3,2]=>10110010=>5 [7,1,8,6,4,2,5,3]=>[2,8,1,3,5,7,4,6]=>[2,4,2]=>10100010=>5 [4,1,6,8,5,2,7,3]=>[5,8,3,1,4,7,2,6]=>[2,1,3,2]=>10110010=>5 [1,5,4,2,8,6,7,3]=>[8,4,5,7,1,3,2,6]=>[1,3,2,2]=>11001010=>5 [1,3,5,2,8,6,7,4]=>[8,6,4,7,1,3,2,5]=>[1,1,2,2,2]=>11101010=>5 [1,3,8,5,6,2,7,4]=>[8,6,1,4,3,7,2,5]=>[1,1,2,2,2]=>11101010=>5 [1,8,5,4,6,2,7,3]=>[8,1,4,5,3,7,2,6]=>[1,3,2,2]=>11001010=>5 [1,7,5,4,6,2,8,3]=>[8,2,4,5,3,7,1,6]=>[1,3,2,2]=>11001010=>5 [5,8,4,1,6,2,7,3]=>[4,1,5,8,3,7,2,6]=>[1,3,2,2]=>11001010=>5 [6,4,5,1,7,2,8,3]=>[3,5,4,8,2,7,1,6]=>[2,2,2,2]=>10101010=>7 [4,5,3,1,2,8,7,6]=>[5,4,6,8,7,1,2,3]=>[1,3,1,3]=>11001100=>3 [6,4,2,3,1,8,7,5]=>[3,5,7,6,8,1,2,4]=>[3,2,3]=>10010100=>5 [6,5,2,1,3,8,7,4]=>[3,4,7,8,6,1,2,5]=>[4,1,3]=>10001100=>3 [8,4,2,3,7,6,1,5]=>[1,5,7,6,2,3,8,4]=>[3,1,3,1]=>10011001=>4 [5,7,8,1,2,4,3,6]=>[4,2,1,8,7,5,6,3]=>[1,1,2,1,2,1]=>11101101=>4 [5,7,6,4,2,1,3,8]=>[4,2,3,5,7,8,6,1]=>[1,5,1,1]=>11000011=>2 [6,5,7,4,1,3,2,8]=>[3,4,2,5,8,6,7,1]=>[2,3,2,1]=>10100101=>6 [4,6,1,8,3,5,2,7]=>[5,3,8,1,6,4,7,2]=>[1,2,2,2,1]=>11010101=>6 [7,1,6,8,2,5,4,3]=>[2,8,3,1,7,4,5,6]=>[2,1,2,3]=>10110100=>5 [4,7,1,8,3,2,5,6]=>[5,2,8,1,6,7,4,3]=>[1,2,3,1,1]=>11010011=>4 [4,8,3,6,1,5,2,7]=>[5,1,6,3,8,4,7,2]=>[1,2,2,2,1]=>11010101=>6 [3,2,8,6,4,5,1,7]=>[6,7,1,3,5,4,8,2]=>[2,3,2,1]=>10100101=>6 [8,4,3,6,2,5,1,7]=>[1,5,6,3,7,4,8,2]=>[3,2,2,1]=>10010101=>6 [1,6,8,7,4,3,5,2]=>[8,3,1,2,5,6,4,7]=>[1,1,4,2]=>11100010=>3 [7,3,4,2,8,1,5,6]=>[2,6,5,7,1,8,4,3]=>[2,2,2,1,1]=>10101011=>6 [7,1,4,3,5,8,2,6]=>[2,8,5,6,4,1,7,3]=>[2,2,1,2,1]=>10101101=>6 [3,1,2,6,8,7,5,4]=>[6,8,7,3,1,2,4,5]=>[2,1,1,4]=>10111000=>3 [8,5,6,3,7,4,1,2]=>[1,4,3,6,2,5,8,7]=>[2,2,3,1]=>10101001=>6 [5,7,4,2,1,8,6,3]=>[4,2,5,7,8,1,3,6]=>[1,4,3]=>11000100=>3 [8,6,5,7,2,4,3,1]=>[1,3,4,2,7,5,6,8]=>[3,2,3]=>10010100=>5 [7,4,6,1,8,5,3,2]=>[2,5,3,8,1,4,6,7]=>[2,2,4]=>10101000=>5 [7,4,6,3,8,1,5,2]=>[2,5,3,6,1,8,4,7]=>[2,2,2,2]=>10101010=>7 [7,4,8,3,6,2,1,5]=>[2,5,1,6,3,7,8,4]=>[2,2,3,1]=>10101001=>6 [6,4,8,2,3,5,7,1]=>[3,5,1,7,6,4,2,8]=>[2,2,1,1,2]=>10101110=>5 [6,2,4,1,5,8,3,7]=>[3,7,5,8,4,1,6,2]=>[2,2,1,2,1]=>10101101=>6 [6,2,4,8,1,5,7,3]=>[3,7,5,1,8,4,2,6]=>[2,1,2,1,2]=>10110110=>5 [4,6,8,2,5,7,1,3]=>[5,3,1,7,4,2,8,6]=>[1,1,2,1,2,1]=>11101101=>4 [6,4,8,2,5,7,1,3]=>[3,5,1,7,4,2,8,6]=>[2,2,1,2,1]=>10101101=>6 [6,8,4,2,3,5,7,1]=>[3,1,5,7,6,4,2,8]=>[1,3,1,1,2]=>11001110=>3 [4,6,8,2,3,1,5,7]=>[5,3,1,7,6,8,4,2]=>[1,1,2,2,1,1]=>11101011=>4 [4,6,8,2,5,1,7,3]=>[5,3,1,7,4,8,2,6]=>[1,1,2,2,2]=>11101010=>5 [4,6,8,2,5,7,3,1]=>[5,3,1,7,4,2,6,8]=>[1,1,2,1,3]=>11101100=>3 [6,8,4,2,3,7,1,5]=>[3,1,5,7,6,2,8,4]=>[1,3,1,2,1]=>11001101=>4 [6,4,8,2,3,7,1,5]=>[3,5,1,7,6,2,8,4]=>[2,2,1,2,1]=>10101101=>6 [8,4,6,2,7,1,3,5]=>[1,5,3,7,2,8,6,4]=>[2,2,2,1,1]=>10101011=>6 [6,8,4,2,7,1,3,5]=>[3,1,5,7,2,8,6,4]=>[1,3,2,1,1]=>11001011=>4 [4,8,2,6,7,5,1,3]=>[5,1,7,3,2,4,8,6]=>[1,2,1,3,1]=>11011001=>4 [8,2,4,6,7,5,1,3]=>[1,7,5,3,2,4,8,6]=>[2,1,1,3,1]=>10111001=>4 [8,2,6,7,1,4,3,5]=>[1,7,3,2,8,5,6,4]=>[2,1,2,2,1]=>10110101=>6 [6,8,2,4,1,7,3,5]=>[3,1,7,5,8,2,6,4]=>[1,2,2,2,1]=>11010101=>6 [8,6,2,4,1,7,3,5]=>[1,3,7,5,8,2,6,4]=>[3,2,2,1]=>10010101=>6 [3,7,2,6,1,5,8,4]=>[6,2,7,3,8,4,1,5]=>[1,2,2,1,2]=>11010110=>5 [7,5,1,6,2,4,8,3]=>[2,4,8,3,7,5,1,6]=>[3,2,1,2]=>10010110=>5 [3,6,5,7,2,8,1,4]=>[6,3,4,2,7,1,8,5]=>[1,2,2,2,1]=>11010101=>6 [7,6,2,1,8,4,5,3]=>[2,3,7,8,1,5,4,6]=>[4,2,2]=>10001010=>5 [3,1,5,6,4,8,2,7]=>[6,8,4,3,5,1,7,2]=>[2,1,2,2,1]=>10110101=>6 [5,4,8,2,6,7,1,3]=>[4,5,1,7,3,2,8,6]=>[2,2,1,2,1]=>10101101=>6 [2,4,8,5,6,7,3,1]=>[7,5,1,4,3,2,6,8]=>[1,1,2,1,3]=>11101100=>3 [2,7,4,8,6,3,5,1]=>[7,2,5,1,3,6,4,8]=>[1,2,3,2]=>11010010=>5 [4,5,2,3,8,7,1,6]=>[5,4,7,6,1,2,8,3]=>[1,2,1,3,1]=>11011001=>4 [8,5,1,3,6,7,4,2]=>[1,4,8,6,3,2,5,7]=>[3,1,1,3]=>10011100=>3 [3,1,5,4,6,7,2,8]=>[6,8,4,5,3,2,7,1]=>[2,2,1,2,1]=>10101101=>6 [2,5,4,7,6,1,3,8]=>[7,4,5,2,3,8,6,1]=>[1,2,3,1,1]=>11010011=>4 [5,2,3,7,6,1,4,8]=>[4,7,6,2,3,8,5,1]=>[2,1,3,1,1]=>10110011=>4 [4,2,3,7,6,1,5,8]=>[5,7,6,2,3,8,4,1]=>[2,1,3,1,1]=>10110011=>4 [5,6,2,3,8,4,7,1]=>[4,3,7,6,1,5,2,8]=>[1,2,1,2,2]=>11011010=>5 [5,6,2,3,1,7,8,4]=>[4,3,7,6,8,2,1,5]=>[1,2,2,1,2]=>11010110=>5 [5,7,2,3,4,1,6,8]=>[4,2,7,6,5,8,3,1]=>[1,2,1,2,1,1]=>11011011=>4 [7,2,6,3,5,1,4,8]=>[2,7,3,6,4,8,5,1]=>[2,2,2,1,1]=>10101011=>6 [6,5,2,3,1,7,8,4]=>[3,4,7,6,8,2,1,5]=>[3,2,1,2]=>10010110=>5 [6,5,2,3,8,4,7,1]=>[3,4,7,6,1,5,2,8]=>[3,1,2,2]=>10011010=>5 [7,5,2,1,4,6,8,3]=>[2,4,7,8,5,3,1,6]=>[4,1,1,2]=>10001110=>3 [8,5,2,3,1,6,4,7]=>[1,4,7,6,8,3,5,2]=>[3,2,2,1]=>10010101=>6 [8,2,6,3,1,7,4,5]=>[1,7,3,6,8,2,5,4]=>[2,3,2,1]=>10100101=>6 [1,6,3,4,2,7,5,8]=>[8,3,6,5,7,2,4,1]=>[1,2,2,2,1]=>11010101=>6 [8,5,2,7,3,4,6,1]=>[1,4,7,2,6,5,3,8]=>[3,2,1,2]=>10010110=>5 [1,7,2,4,5,6,8,3]=>[8,2,7,5,4,3,1,6]=>[1,2,1,1,1,2]=>11011110=>3 [7,2,8,1,4,6,3,5]=>[2,7,1,8,5,3,6,4]=>[2,2,1,2,1]=>10101101=>6 [2,7,8,1,5,6,3,4]=>[7,2,1,8,4,3,6,5]=>[1,1,2,1,2,1]=>11101101=>4 [5,7,2,1,4,6,8,3]=>[4,2,7,8,5,3,1,6]=>[1,3,1,1,2]=>11001110=>3 [4,2,7,1,5,6,8,3]=>[5,7,2,8,4,3,1,6]=>[2,2,1,1,2]=>10101110=>5 [4,2,3,8,1,7,5,6]=>[5,7,6,1,8,2,4,3]=>[2,1,2,2,1]=>10110101=>6 [5,1,3,8,4,6,7,2]=>[4,8,6,1,5,3,2,7]=>[2,1,2,1,2]=>10110110=>5 [5,1,3,2,6,7,8,4]=>[4,8,6,7,3,2,1,5]=>[2,2,1,1,2]=>10101110=>5 [5,1,3,4,2,7,6,8]=>[4,8,6,5,7,2,3,1]=>[2,1,2,2,1]=>10110101=>6 [6,1,3,4,2,7,5,8]=>[3,8,6,5,7,2,4,1]=>[2,1,2,2,1]=>10110101=>6 [7,2,1,3,5,8,4,6]=>[2,7,8,6,4,1,5,3]=>[3,1,1,2,1]=>10011101=>4 [6,8,7,2,3,4,5,1]=>[3,1,2,7,6,5,4,8]=>[1,3,1,1,2]=>11001110=>3 [3,7,2,8,1,4,5,6]=>[6,2,7,1,8,5,4,3]=>[1,2,2,1,1,1]=>11010111=>4 [5,2,3,7,4,6,1,8]=>[4,7,6,2,5,3,8,1]=>[2,1,2,2,1]=>10110101=>6 [2,5,3,7,4,6,1,8]=>[7,4,6,2,5,3,8,1]=>[1,2,2,2,1]=>11010101=>6 [2,6,7,3,4,5,1,8]=>[7,3,2,6,5,4,8,1]=>[1,1,2,1,2,1]=>11101101=>4 [3,8,4,5,2,1,6,7]=>[6,1,5,4,7,8,3,2]=>[1,2,3,1,1]=>11010011=>4 [2,8,7,5,1,3,4,6]=>[7,1,2,4,8,6,5,3]=>[1,4,1,1,1]=>11000111=>2 [3,1,2,9,4,5,6,7,8]=>[7,9,8,1,6,5,4,3,2]=>[2,1,2,1,1,1,1]=>101101111=>4 [4,1,2,3,9,5,6,7,8]=>[6,9,8,7,1,5,4,3,2]=>[2,1,1,2,1,1,1]=>101110111=>4 [3,4,1,2,9,5,6,7,8]=>[7,6,9,8,1,5,4,3,2]=>[1,2,1,2,1,1,1]=>110110111=>4 [4,5,1,2,3,9,6,7,8]=>[6,5,9,8,7,1,4,3,2]=>[1,2,1,1,2,1,1]=>110111011=>4 [5,6,1,2,3,4,9,7,8]=>[5,4,9,8,7,6,1,3,2]=>[1,2,1,1,1,2,1]=>110111101=>4 [6,7,1,2,3,4,5,9,8]=>[4,3,9,8,7,6,5,1,2]=>[1,2,1,1,1,1,2]=>110111110=>3 [4,5,7,2,8,3,6,1]=>[5,4,2,7,1,6,3,8]=>[1,1,2,2,2]=>11101010=>5 [9,7,5,3,1,8,6,4,2]=>[1,3,5,7,9,2,4,6,8]=>[5,4]=>100001000=>3 [5,7,4,6,3,9,2,8,1]=>[5,3,6,4,7,1,8,2,9]=>[1,2,2,2,2]=>110101010=>7 [7,5,2,6,1,8,3,4]=>[2,4,7,3,8,1,6,5]=>[3,2,2,1]=>10010101=>6 [7,5,3,4,2,1,8,6]=>[2,4,6,5,7,8,1,3]=>[3,3,2]=>10010010=>5 [5,2,1,3,6,7,8,4]=>[4,7,8,6,3,2,1,5]=>[3,1,1,1,2]=>10011110=>3 [1,6,5,7,2,8,3,4]=>[8,3,4,2,7,1,6,5]=>[1,2,2,2,1]=>11010101=>6 [6,2,5,3,7,8,1,4]=>[3,7,4,6,2,1,8,5]=>[2,2,1,2,1]=>10101101=>6 [7,5,2,6,1,8,4,3]=>[2,4,7,3,8,1,5,6]=>[3,2,3]=>10010100=>5 [7,5,6,8,1,2,4,3]=>[2,4,3,1,8,7,5,6]=>[2,1,2,1,2]=>10110110=>5 [7,5,6,2,8,1,4,3]=>[2,4,3,7,1,8,5,6]=>[2,2,2,2]=>10101010=>7 [1,5,4,6,2,8,7,3]=>[8,4,5,3,7,1,2,6]=>[1,2,2,3]=>11010100=>5 [7,5,1,3,6,8,4,2]=>[2,4,8,6,3,1,5,7]=>[3,1,1,3]=>10011100=>3 [1,5,4,6,2,8,3,7]=>[8,4,5,3,7,1,6,2]=>[1,2,2,2,1]=>11010101=>6 [1,5,6,4,8,2,3,7]=>[8,4,3,5,1,7,6,2]=>[1,1,2,2,1,1]=>11101011=>4 [6,2,1,5,8,4,7,3]=>[3,7,8,4,1,5,2,6]=>[3,1,2,2]=>10011010=>5 [7,5,6,8,4,1,3,2]=>[2,4,3,1,5,8,6,7]=>[2,1,3,2]=>10110010=>5 [8,3,7,5,1,4,2,6]=>[1,6,2,4,8,5,7,3]=>[2,3,2,1]=>10100101=>6 [5,4,1,8,6,2,3,7]=>[4,5,8,1,3,7,6,2]=>[3,3,1,1]=>10010011=>4 [5,4,1,7,6,2,3,8]=>[4,5,8,2,3,7,6,1]=>[3,3,1,1]=>10010011=>4 [8,1,5,7,3,6,2,4]=>[1,8,4,2,6,3,7,5]=>[2,1,2,2,1]=>10110101=>6 [8,3,2,6,4,5,1,7]=>[1,6,7,3,5,4,8,2]=>[3,2,2,1]=>10010101=>6 [8,5,3,7,4,1,2,6]=>[1,4,6,2,5,8,7,3]=>[3,3,1,1]=>10010011=>4 [8,5,6,2,7,1,3,4]=>[1,4,3,7,2,8,6,5]=>[2,2,2,1,1]=>10101011=>6 [8,4,7,2,6,5,1,3]=>[1,5,2,7,3,4,8,6]=>[2,2,3,1]=>10101001=>6 [8,5,7,3,2,6,1,4]=>[1,4,2,6,7,3,8,5]=>[2,3,2,1]=>10100101=>6 [8,1,2,3,6,4,7,5]=>[1,8,7,6,3,5,2,4]=>[2,1,1,2,2]=>10111010=>5 [4,5,3,7,8,1,6,2]=>[5,4,6,2,1,8,3,7]=>[1,2,1,2,2]=>11011010=>5 [4,3,7,5,1,6,2,8]=>[5,6,2,4,8,3,7,1]=>[2,3,2,1]=>10100101=>6 [5,2,6,1,4,3,7,8]=>[4,7,3,8,5,6,2,1]=>[2,2,2,1,1]=>10101011=>6 [5,3,7,4,2,8,6,1]=>[4,6,2,5,7,1,3,8]=>[2,3,3]=>10100100=>5 [5,6,2,8,7,1,4,3]=>[4,3,7,1,2,8,5,6]=>[1,2,3,2]=>11010010=>5 [4,6,3,5,2,7,8,1]=>[5,3,6,4,7,2,1,8]=>[1,2,2,1,2]=>11010110=>5 [7,2,5,8,6,1,4,3]=>[2,7,4,1,3,8,5,6]=>[2,1,3,2]=>10110010=>5 [4,3,6,1,5,7,8,2]=>[5,6,3,8,4,2,1,7]=>[2,2,1,1,2]=>10101110=>5 [3,5,4,1,2,6,7,8]=>[6,4,5,8,7,3,2,1]=>[1,3,1,1,1,1]=>11001111=>2 [5,3,1,4,6,7,8,2]=>[4,6,8,5,3,2,1,7]=>[3,1,1,1,2]=>10011110=>3 [4,6,7,1,3,5,8,2]=>[5,3,2,8,6,4,1,7]=>[1,1,2,1,1,2]=>11101110=>3 [5,6,1,3,4,7,2,8]=>[4,3,8,6,5,2,7,1]=>[1,2,1,1,2,1]=>11011101=>4 [3,6,2,4,1,7,5,8]=>[6,3,7,5,8,2,4,1]=>[1,2,2,2,1]=>11010101=>6 [3,2,6,7,4,8,5,1]=>[6,7,3,2,5,1,4,8]=>[2,1,2,3]=>10110100=>5 [7,1,3,8,4,5,2,6]=>[2,8,6,1,5,4,7,3]=>[2,1,2,2,1]=>10110101=>6 [7,1,8,3,4,6,2,5]=>[2,8,1,6,5,3,7,4]=>[2,2,1,2,1]=>10101101=>6 [6,2,7,1,4,5,3,8]=>[3,7,2,8,5,4,6,1]=>[2,2,1,2,1]=>10101101=>6 [4,2,6,1,5,7,3,8]=>[5,7,3,8,4,2,6,1]=>[2,2,1,2,1]=>10101101=>6 [2,5,4,1,3,6,7,8]=>[7,4,5,8,6,3,2,1]=>[1,3,1,1,1,1]=>11001111=>2 [5,4,1,2,6,7,3,8]=>[4,5,8,7,3,2,6,1]=>[3,1,1,2,1]=>10011101=>4 [6,5,2,7,4,1,3,8]=>[3,4,7,2,5,8,6,1]=>[3,3,1,1]=>10010011=>4 [6,7,4,3,1,5,8,2]=>[3,2,5,6,8,4,1,7]=>[1,4,1,2]=>11000110=>3 [4,2,5,6,7,8,9,1,3]=>[6,8,5,4,3,2,1,9,7]=>[2,1,1,1,1,2,1]=>101111101=>4 [3,1,6,7,8,4,5,2]=>[6,8,3,2,1,5,4,7]=>[2,1,1,2,2]=>10111010=>5 [7,4,5,6,2,1,8,3]=>[2,5,4,3,7,8,1,6]=>[2,1,3,2]=>10110010=>5 [8,2,5,6,7,3,1,4]=>[1,7,4,3,2,6,8,5]=>[2,1,1,3,1]=>10111001=>4 [6,4,5,2,7,1,8,3]=>[3,5,4,7,2,8,1,6]=>[2,2,2,2]=>10101010=>7 [5,7,8,4,2,3,1,6]=>[4,2,1,5,7,6,8,3]=>[1,1,3,2,1]=>11100101=>4 [6,4,1,2,7,8,3,5]=>[3,5,8,7,2,1,6,4]=>[3,1,1,2,1]=>10011101=>4 [6,4,1,3,5,2,7,8]=>[3,5,8,6,4,7,2,1]=>[3,1,2,1,1]=>10011011=>4 [6,3,4,1,7,8,2,5]=>[3,6,5,8,2,1,7,4]=>[2,2,1,2,1]=>10101101=>6 [6,8,1,5,3,4,2,7]=>[3,1,8,4,6,5,7,2]=>[1,2,2,2,1]=>11010101=>6 [4,3,5,6,1,8,2,7]=>[5,6,4,3,8,1,7,2]=>[2,1,2,2,1]=>10110101=>6 [6,2,8,3,4,7,1,5]=>[3,7,1,6,5,2,8,4]=>[2,2,1,2,1]=>10101101=>6 [5,7,3,6,1,4,2,8]=>[4,2,6,3,8,5,7,1]=>[1,2,2,2,1]=>11010101=>6 [4,5,8,2,3,7,1,6]=>[5,4,1,7,6,2,8,3]=>[1,1,2,1,2,1]=>11101101=>4 [7,3,4,8,2,5,1,6]=>[2,6,5,1,7,4,8,3]=>[2,1,2,2,1]=>10110101=>6 [6,2,3,5,1,8,4,7]=>[3,7,6,4,8,1,5,2]=>[2,1,2,2,1]=>10110101=>6 [6,8,1,5,4,2,3,7]=>[3,1,8,4,5,7,6,2]=>[1,2,3,1,1]=>11010011=>4 [6,2,4,7,3,1,5,8]=>[3,7,5,2,6,8,4,1]=>[2,1,3,1,1]=>10110011=>4 [4,7,2,5,1,6,8,3]=>[5,2,7,4,8,3,1,6]=>[1,2,2,1,2]=>11010110=>5 [3,1,4,5,8,2,7,6]=>[6,8,5,4,1,7,2,3]=>[2,1,1,2,2]=>10111010=>5 [4,7,3,1,8,2,6,5]=>[5,2,6,8,1,7,3,4]=>[1,3,2,2]=>11001010=>5 [6,2,3,8,4,7,1,5]=>[3,7,6,1,5,2,8,4]=>[2,1,2,2,1]=>10110101=>6 [5,1,2,8,4,6,3,7]=>[4,8,7,1,5,3,6,2]=>[2,1,2,2,1]=>10110101=>6 [5,1,4,6,2,8,3,7]=>[4,8,5,3,7,1,6,2]=>[2,1,2,2,1]=>10110101=>6 [6,5,4,7,2,8,3,1]=>[3,4,5,2,7,1,6,8]=>[3,2,3]=>10010100=>5 [3,2,4,6,5,8,1,7]=>[6,7,5,3,4,1,8,2]=>[2,1,2,2,1]=>10110101=>6 [7,5,2,1,6,3,4,8]=>[2,4,7,8,3,6,5,1]=>[4,2,1,1]=>10001011=>4 [6,3,1,7,4,2,5,8]=>[3,6,8,2,5,7,4,1]=>[3,3,1,1]=>10010011=>4 [8,7,2,1,5,3,6,4]=>[1,2,7,8,4,6,3,5]=>[4,2,2]=>10001010=>5 [6,8,5,3,7,4,2,1]=>[3,1,4,6,2,5,7,8]=>[1,3,4]=>11001000=>3 [7,2,8,1,5,6,4,3]=>[2,7,1,8,4,3,5,6]=>[2,2,1,3]=>10101100=>5 [8,3,6,4,1,5,7,2]=>[1,6,3,5,8,4,2,7]=>[2,3,1,2]=>10100110=>5 [7,5,6,1,4,8,2,3]=>[2,4,3,8,5,1,7,6]=>[2,2,1,2,1]=>10101101=>6 [6,8,1,3,2,7,5,4]=>[3,1,8,6,7,2,4,5]=>[1,2,2,3]=>11010100=>5 [5,7,3,6,4,1,2,8]=>[4,2,6,3,5,8,7,1]=>[1,2,3,1,1]=>11010011=>4 [7,2,4,3,8,1,5,6]=>[2,7,5,6,1,8,4,3]=>[2,2,2,1,1]=>10101011=>6 [2,4,3,5,8,1,6,7]=>[7,5,6,4,1,8,3,2]=>[1,2,1,2,1,1]=>11011011=>4 [5,8,2,6,7,4,3,1]=>[4,1,7,3,2,5,6,8]=>[1,2,1,4]=>11011000=>3 [3,7,5,1,6,4,2,8]=>[6,2,4,8,3,5,7,1]=>[1,3,3,1]=>11001001=>4 [8,2,5,7,3,4,6,1]=>[1,7,4,2,6,5,3,8]=>[2,1,2,1,2]=>10110110=>5 [5,2,7,4,8,6,3,1]=>[4,7,2,5,1,3,6,8]=>[2,2,4]=>10101000=>5 [6,2,5,8,1,7,3,4]=>[3,7,4,1,8,2,6,5]=>[2,1,2,2,1]=>10110101=>6 [6,1,2,4,3,5,7,8]=>[3,8,7,5,6,4,2,1]=>[2,1,2,1,1,1]=>10110111=>4 [8,5,6,1,4,2,7,3]=>[1,4,3,8,5,7,2,6]=>[2,2,2,2]=>10101010=>7 [5,8,6,1,4,2,7,3]=>[4,1,3,8,5,7,2,6]=>[1,3,2,2]=>11001010=>5 [6,5,8,2,7,3,4,1]=>[3,4,1,7,2,6,5,8]=>[2,2,2,2]=>10101010=>7 [7,6,1,2,4,3,5,8]=>[2,3,8,7,5,6,4,1]=>[3,1,2,1,1]=>10011011=>4 [1,7,6,8,4,3,2,5]=>[8,2,3,1,5,6,7,4]=>[1,2,4,1]=>11010001=>4 [1,7,6,5,3,8,2,4]=>[8,2,3,4,6,1,7,5]=>[1,4,2,1]=>11000101=>4 [6,4,5,7,1,3,2,8]=>[3,5,4,2,8,6,7,1]=>[2,1,2,2,1]=>10110101=>6 [6,1,2,4,3,5,8,7]=>[3,8,7,5,6,4,1,2]=>[2,1,2,1,2]=>10110110=>5 [6,1,2,4,3,7,5,8]=>[3,8,7,5,6,2,4,1]=>[2,1,2,2,1]=>10110101=>6 [7,4,5,8,2,3,6,1]=>[2,5,4,1,7,6,3,8]=>[2,1,2,1,2]=>10110110=>5 [4,6,1,3,7,8,5,2]=>[5,3,8,6,2,1,4,7]=>[1,2,1,1,3]=>11011100=>3 [8,4,1,5,2,6,7,3]=>[1,5,8,4,7,3,2,6]=>[3,2,1,2]=>10010110=>5 [7,1,2,4,3,5,8,6]=>[2,8,7,5,6,4,1,3]=>[2,1,2,1,2]=>10110110=>5 [5,6,8,4,7,1,3,2]=>[4,3,1,5,2,8,6,7]=>[1,1,2,2,2]=>11101010=>5 [5,3,2,6,8,7,1,4]=>[4,6,7,3,1,2,8,5]=>[3,1,3,1]=>10011001=>4 [6,3,5,2,7,1,4,8]=>[3,6,4,7,2,8,5,1]=>[2,2,2,1,1]=>10101011=>6 [8,5,2,6,7,1,4,3]=>[1,4,7,3,2,8,5,6]=>[3,1,2,2]=>10011010=>5 [6,8,7,2,4,1,5,3]=>[3,1,2,7,5,8,4,6]=>[1,3,2,2]=>11001010=>5 [5,3,8,7,1,4,2,6]=>[4,6,1,2,8,5,7,3]=>[2,3,2,1]=>10100101=>6 [6,4,5,3,1,8,7,2]=>[3,5,4,6,8,1,2,7]=>[2,3,3]=>10100100=>5 [8,5,1,2,3,6,7,4]=>[1,4,8,7,6,3,2,5]=>[3,1,1,1,2]=>10011110=>3 [2,8,6,1,5,4,7,3]=>[7,1,3,8,4,5,2,6]=>[1,3,2,2]=>11001010=>5 [8,3,2,6,1,5,7,4]=>[1,6,7,3,8,4,2,5]=>[3,2,1,2]=>10010110=>5 [3,8,6,4,7,1,2,5]=>[6,1,3,5,2,8,7,4]=>[1,3,2,1,1]=>11001011=>4 [1,8,7,5,4,3,2,6]=>[8,1,2,4,5,6,7,3]=>[1,6,1]=>11000001=>2 [8,6,4,7,1,3,2,5]=>[1,3,5,2,8,6,7,4]=>[3,2,2,1]=>10010101=>6 [3,1,4,7,6,2,5,8]=>[6,8,5,2,3,7,4,1]=>[2,1,3,1,1]=>10110011=>4 [2,7,1,4,6,3,5,8]=>[7,2,8,5,3,6,4,1]=>[1,2,1,2,1,1]=>11011011=>4 [7,3,1,6,5,2,4,8]=>[2,6,8,3,4,7,5,1]=>[3,3,1,1]=>10010011=>4 [6,1,4,5,2,7,3,8]=>[3,8,5,4,7,2,6,1]=>[2,1,2,2,1]=>10110101=>6 [6,1,5,8,2,7,4,3]=>[3,8,4,1,7,2,5,6]=>[2,1,2,3]=>10110100=>5 [6,3,1,8,5,4,7,2]=>[3,6,8,1,4,5,2,7]=>[3,3,2]=>10010010=>5 [3,1,8,7,5,4,6,2]=>[6,8,1,2,4,5,3,7]=>[2,4,2]=>10100010=>5 [1,8,3,7,5,4,6,2]=>[8,1,6,2,4,5,3,7]=>[1,2,3,2]=>11010010=>5 [6,1,3,8,7,4,5,2]=>[3,8,6,1,2,5,4,7]=>[2,1,3,2]=>10110010=>5 [5,6,1,3,7,4,8,2]=>[4,3,8,6,2,5,1,7]=>[1,2,1,2,2]=>11011010=>5 [1,6,3,8,5,4,7,2]=>[8,3,6,1,4,5,2,7]=>[1,2,3,2]=>11010010=>5 [8,2,5,6,1,3,7,4]=>[1,7,4,3,8,6,2,5]=>[2,1,2,1,2]=>10110110=>5 [2,8,4,6,5,1,7,3]=>[7,1,5,3,4,8,2,6]=>[1,2,3,2]=>11010010=>5 [7,4,1,3,6,5,2,8]=>[2,5,8,6,3,4,7,1]=>[3,1,3,1]=>10011001=>4 [5,3,4,7,1,8,2,6]=>[4,6,5,2,8,1,7,3]=>[2,1,2,2,1]=>10110101=>6 [7,8,1,6,4,3,2,5]=>[2,1,8,3,5,6,7,4]=>[1,2,4,1]=>11010001=>4 [8,5,1,7,6,3,2,4]=>[1,4,8,2,3,6,7,5]=>[3,4,1]=>10010001=>4 [6,8,7,2,1,3,5,4]=>[3,1,2,7,8,6,4,5]=>[1,4,1,2]=>11000110=>3 [5,7,2,8,1,3,6,4]=>[4,2,7,1,8,6,3,5]=>[1,2,2,1,2]=>11010110=>5 [7,6,8,3,1,5,2,4]=>[2,3,1,6,8,4,7,5]=>[2,3,2,1]=>10100101=>6 [3,1,4,8,2,7,6,5]=>[6,8,5,1,7,2,3,4]=>[2,1,2,3]=>10110100=>5 [5,4,1,2,6,3,8,7]=>[4,5,8,7,3,6,1,2]=>[3,1,2,2]=>10011010=>5 [3,8,4,6,1,2,7,5]=>[6,1,5,3,8,7,2,4]=>[1,2,2,1,2]=>11010110=>5 [6,3,1,4,8,7,2,5]=>[3,6,8,5,1,2,7,4]=>[3,1,3,1]=>10011001=>4 [6,5,1,4,7,3,2,8]=>[3,4,8,5,2,6,7,1]=>[3,1,3,1]=>10011001=>4 [8,4,5,1,7,3,2,6]=>[1,5,4,8,2,6,7,3]=>[2,2,3,1]=>10101001=>6 [2,7,8,4,1,3,6,5]=>[7,2,1,5,8,6,3,4]=>[1,1,3,1,2]=>11100110=>3 [2,4,6,7,5,8,1,3]=>[7,5,3,2,4,1,8,6]=>[1,1,1,2,2,1]=>11110101=>4 [2,4,6,3,7,8,1,5]=>[7,5,3,6,2,1,8,4]=>[1,1,2,1,2,1]=>11101101=>4 [2,4,5,6,8,7,1,3]=>[7,5,4,3,1,2,8,6]=>[1,1,1,1,3,1]=>11111001=>2 [2,4,5,6,3,8,1,7]=>[7,5,4,3,6,1,8,2]=>[1,1,1,2,2,1]=>11110101=>4 [2,3,4,6,8,5,1,7]=>[7,6,5,3,1,4,8,2]=>[1,1,1,1,3,1]=>11111001=>2 [1,8,6,3,4,7,5,2]=>[8,1,3,6,5,2,4,7]=>[1,3,1,3]=>11001100=>3 [8,6,5,1,4,2,7,3]=>[1,3,4,8,5,7,2,6]=>[4,2,2]=>10001010=>5 [1,6,3,5,8,4,7,2]=>[8,3,6,4,1,5,2,7]=>[1,2,1,2,2]=>11011010=>5 [5,2,8,3,4,1,6,7]=>[4,7,1,6,5,8,3,2]=>[2,2,2,1,1]=>10101011=>6 [3,6,4,1,2,7,8,5]=>[6,3,5,8,7,2,1,4]=>[1,3,1,1,2]=>11001110=>3 [4,1,7,3,8,6,2,5]=>[5,8,2,6,1,3,7,4]=>[2,2,3,1]=>10101001=>6 [6,1,8,5,4,3,2,7]=>[3,8,1,4,5,6,7,2]=>[2,5,1]=>10100001=>4 [5,3,6,4,1,8,2,7]=>[4,6,3,5,8,1,7,2]=>[2,3,2,1]=>10100101=>6 [8,4,1,2,5,3,7,6]=>[1,5,8,7,4,6,2,3]=>[3,1,2,2]=>10011010=>5 [1,5,2,7,6,8,4,3]=>[8,4,7,2,3,1,5,6]=>[1,2,2,3]=>11010100=>5 [8,1,5,6,2,7,3,4]=>[1,8,4,3,7,2,6,5]=>[2,1,2,2,1]=>10110101=>6 [6,5,2,8,1,3,7,4]=>[3,4,7,1,8,6,2,5]=>[3,2,1,2]=>10010110=>5 [4,5,2,1,6,3,7,8]=>[5,4,7,8,3,6,2,1]=>[1,3,2,1,1]=>11001011=>4 [8,2,1,5,4,6,7,3]=>[1,7,8,4,5,3,2,6]=>[3,2,1,2]=>10010110=>5 [7,2,5,4,1,6,8,3]=>[2,7,4,5,8,3,1,6]=>[2,3,1,2]=>10100110=>5 [5,7,6,4,3,1,2,8]=>[4,2,3,5,6,8,7,1]=>[1,5,1,1]=>11000011=>2 [4,6,8,7,1,3,2,5]=>[5,3,1,2,8,6,7,4]=>[1,1,3,2,1]=>11100101=>4 [4,7,6,8,3,1,2,5]=>[5,2,3,1,6,8,7,4]=>[1,2,3,1,1]=>11010011=>4 [1,7,8,6,3,5,2,4]=>[8,2,1,3,6,4,7,5]=>[1,1,3,2,1]=>11100101=>4 [4,8,2,7,6,5,1,3]=>[5,1,7,2,3,4,8,6]=>[1,2,4,1]=>11010001=>4 [7,4,2,8,6,5,1,3]=>[2,5,7,1,3,4,8,6]=>[3,4,1]=>10010001=>4 [8,6,5,2,7,1,4,3]=>[1,3,4,7,2,8,5,6]=>[4,2,2]=>10001010=>5 [7,5,8,2,1,6,4,3]=>[2,4,1,7,8,3,5,6]=>[2,3,3]=>10100100=>5 [3,2,1,6,5,8,4,7]=>[6,7,8,3,4,1,5,2]=>[3,2,2,1]=>10010101=>6 [2,6,4,8,5,7,3,1]=>[7,3,5,1,4,2,6,8]=>[1,2,2,3]=>11010100=>5 [6,3,1,4,5,8,2,7]=>[3,6,8,5,4,1,7,2]=>[3,1,1,2,1]=>10011101=>4 [3,4,8,5,2,1,7,6]=>[6,5,1,4,7,8,2,3]=>[1,1,4,2]=>11100010=>3 [4,8,7,1,3,2,6,5]=>[5,1,2,8,6,7,3,4]=>[1,3,2,2]=>11001010=>5 [5,8,7,4,6,1,3,2]=>[4,1,2,5,3,8,6,7]=>[1,3,2,2]=>11001010=>5 [3,4,1,8,7,6,2,5]=>[6,5,8,1,2,3,7,4]=>[1,2,4,1]=>11010001=>4 [1,3,5,6,8,7,2,4]=>[8,6,4,3,1,2,7,5]=>[1,1,1,1,3,1]=>11111001=>2 [8,1,5,7,4,2,6,3]=>[1,8,4,2,5,7,3,6]=>[2,1,3,2]=>10110010=>5 [5,8,7,3,4,1,6,2]=>[4,1,2,6,5,8,3,7]=>[1,3,2,2]=>11001010=>5 [4,6,1,3,2,8,5,7]=>[5,3,8,6,7,1,4,2]=>[1,2,2,2,1]=>11010101=>6 [2,6,5,8,3,1,4,7]=>[7,3,4,1,6,8,5,2]=>[1,2,3,1,1]=>11010011=>4 [6,7,8,2,4,5,3,1]=>[3,2,1,7,5,4,6,8]=>[1,1,2,1,3]=>11101100=>3 [8,3,6,4,2,7,1,5]=>[1,6,3,5,7,2,8,4]=>[2,3,2,1]=>10100101=>6 [1,3,8,4,7,6,2,5]=>[8,6,1,5,2,3,7,4]=>[1,1,2,3,1]=>11101001=>4 [8,3,7,5,4,1,2,6]=>[1,6,2,4,5,8,7,3]=>[2,4,1,1]=>10100011=>4 [2,6,4,7,8,5,1,3]=>[7,3,5,2,1,4,8,6]=>[1,2,1,3,1]=>11011001=>4 [5,4,3,7,6,1,8,2]=>[4,5,6,2,3,8,1,7]=>[3,3,2]=>10010010=>5 [8,6,3,7,1,4,2,5]=>[1,3,6,2,8,5,7,4]=>[3,2,2,1]=>10010101=>6 [3,1,2,8,7,6,4,5]=>[6,8,7,1,2,3,5,4]=>[2,1,4,1]=>10110001=>4 [8,5,4,1,2,3,7,6]=>[1,4,5,8,7,6,2,3]=>[4,1,1,2]=>10001110=>3 [8,3,2,1,6,4,7,5]=>[1,6,7,8,3,5,2,4]=>[4,2,2]=>10001010=>5 [6,7,2,5,8,4,1,3]=>[3,2,7,4,1,5,8,6]=>[1,2,1,3,1]=>11011001=>4 [4,1,7,8,2,5,6,3]=>[5,8,2,1,7,4,3,6]=>[2,1,2,1,2]=>10110110=>5 [3,4,6,7,1,5,8,2]=>[6,5,3,2,8,4,1,7]=>[1,1,1,2,1,2]=>11110110=>3 [3,4,5,7,8,1,6,2]=>[6,5,4,2,1,8,3,7]=>[1,1,1,1,2,2]=>11111010=>3 [1,8,7,4,3,5,2,6]=>[8,1,2,5,6,4,7,3]=>[1,4,2,1]=>11000101=>4 [4,5,2,8,1,3,7,6]=>[5,4,7,1,8,6,2,3]=>[1,2,2,1,2]=>11010110=>5 [8,3,6,5,1,4,7,2]=>[1,6,3,4,8,5,2,7]=>[2,3,1,2]=>10100110=>5 [2,4,5,8,1,3,7,6]=>[7,5,4,1,8,6,2,3]=>[1,1,1,2,1,2]=>11110110=>3 [6,2,3,1,7,4,5,8]=>[3,7,6,8,2,5,4,1]=>[2,2,2,1,1]=>10101011=>6 [8,2,7,4,6,3,1,5]=>[1,7,2,5,3,6,8,4]=>[2,2,3,1]=>10101001=>6 [6,1,3,4,7,8,2,5]=>[3,8,6,5,2,1,7,4]=>[2,1,1,1,2,1]=>10111101=>4 [2,5,3,6,7,8,1,4]=>[7,4,6,3,2,1,8,5]=>[1,2,1,1,2,1]=>11011101=>4 [1,5,6,2,7,8,4,3]=>[8,4,3,7,2,1,5,6]=>[1,1,2,1,3]=>11101100=>3 [5,1,8,4,3,7,6,2]=>[4,8,1,5,6,2,3,7]=>[2,3,3]=>10100100=>5 [8,4,3,1,6,7,5,2]=>[1,5,6,8,3,2,4,7]=>[4,1,3]=>10001100=>3 [5,2,4,1,6,7,3,8]=>[4,7,5,8,3,2,6,1]=>[2,2,1,2,1]=>10101101=>6 [8,2,1,3,6,7,5,4]=>[1,7,8,6,3,2,4,5]=>[3,1,1,3]=>10011100=>3 [4,2,1,8,6,7,5,3]=>[5,7,8,1,3,2,4,6]=>[3,2,3]=>10010100=>5 [6,5,7,1,2,4,8,3]=>[3,4,2,8,7,5,1,6]=>[2,2,1,1,2]=>10101110=>5 [7,2,8,1,3,5,4,6]=>[2,7,1,8,6,4,5,3]=>[2,2,1,2,1]=>10101101=>6 [8,5,1,4,6,7,2,3]=>[1,4,8,5,3,2,7,6]=>[3,1,1,2,1]=>10011101=>4 [8,1,4,6,5,7,3,2]=>[1,8,5,3,4,2,6,7]=>[2,1,2,3]=>10110100=>5 [6,3,1,5,8,4,2,7]=>[3,6,8,4,1,5,7,2]=>[3,1,3,1]=>10011001=>4 [2,8,3,5,6,1,4,7]=>[7,1,6,4,3,8,5,2]=>[1,2,1,2,1,1]=>11011011=>4 [1,3,6,4,2,7,5,8]=>[8,6,3,5,7,2,4,1]=>[1,1,3,2,1]=>11100101=>4 [2,3,7,5,8,1,4,6]=>[7,6,2,4,1,8,5,3]=>[1,1,2,2,1,1]=>11101011=>4 [3,2,8,5,6,1,4,7]=>[6,7,1,4,3,8,5,2]=>[2,2,2,1,1]=>10101011=>6 [7,2,5,8,1,4,6,3]=>[2,7,4,1,8,5,3,6]=>[2,1,2,1,2]=>10110110=>5 [4,7,5,8,1,2,3,6]=>[5,2,4,1,8,7,6,3]=>[1,2,2,1,1,1]=>11010111=>4 [3,4,7,5,2,8,1,6]=>[6,5,2,4,7,1,8,3]=>[1,1,3,2,1]=>11100101=>4 [4,3,2,5,7,8,1,6]=>[5,6,7,4,2,1,8,3]=>[3,1,1,2,1]=>10011101=>4 [2,5,4,7,3,8,1,6]=>[7,4,5,2,6,1,8,3]=>[1,2,2,2,1]=>11010101=>6 [3,7,8,4,2,1,6,5]=>[6,2,1,5,7,8,3,4]=>[1,1,4,2]=>11100010=>3 [4,6,5,8,1,2,3,7]=>[5,3,4,1,8,7,6,2]=>[1,2,2,1,1,1]=>11010111=>4 [6,3,5,8,7,4,2,1]=>[3,6,4,1,2,5,7,8]=>[2,1,5]=>10110000=>3 [4,8,2,7,6,3,1,5]=>[5,1,7,2,3,6,8,4]=>[1,2,4,1]=>11010001=>4 [4,1,3,5,6,8,2,7]=>[5,8,6,4,3,1,7,2]=>[2,1,1,1,2,1]=>10111101=>4 [6,1,3,4,8,7,5,2]=>[3,8,6,5,1,2,4,7]=>[2,1,1,4]=>10111000=>3 [1,4,8,2,7,5,6,3]=>[8,5,1,7,2,4,3,6]=>[1,1,2,2,2]=>11101010=>5 [2,4,8,1,7,5,3,6]=>[7,5,1,8,2,4,6,3]=>[1,1,2,3,1]=>11101001=>4 [2,4,1,8,3,7,6,5]=>[7,5,8,1,6,2,3,4]=>[1,2,2,3]=>11010100=>5 [6,8,1,4,5,2,7,3]=>[3,1,8,5,4,7,2,6]=>[1,2,1,2,2]=>11011010=>5 [3,6,1,8,5,7,2,4]=>[6,3,8,1,4,2,7,5]=>[1,2,2,2,1]=>11010101=>6 [1,5,4,8,7,6,2,3]=>[8,4,5,1,2,3,7,6]=>[1,2,4,1]=>11010001=>4 [3,2,4,5,8,1,6,7]=>[6,7,5,4,1,8,3,2]=>[2,1,1,2,1,1]=>10111011=>4 [4,3,8,5,1,6,2,7]=>[5,6,1,4,8,3,7,2]=>[2,3,2,1]=>10100101=>6 [1,4,7,8,2,5,3,6]=>[8,5,2,1,7,4,6,3]=>[1,1,1,2,2,1]=>11110101=>4 [3,8,4,2,7,6,1,5]=>[6,1,5,7,2,3,8,4]=>[1,3,3,1]=>11001001=>4 [3,7,5,1,6,2,8,4]=>[6,2,4,8,3,7,1,5]=>[1,3,2,2]=>11001010=>5 [4,8,3,7,6,2,1,5]=>[5,1,6,2,3,7,8,4]=>[1,2,4,1]=>11010001=>4 [1,4,7,6,3,8,2,5]=>[8,5,2,3,6,1,7,4]=>[1,1,3,2,1]=>11100101=>4 [3,6,5,1,7,2,8,4]=>[6,3,4,8,2,7,1,5]=>[1,3,2,2]=>11001010=>5 [7,4,1,6,2,8,5,3]=>[2,5,8,3,7,1,4,6]=>[3,2,3]=>10010100=>5 [1,3,6,8,2,4,7,5]=>[8,6,3,1,7,5,2,4]=>[1,1,1,2,1,2]=>11110110=>3 [6,8,3,7,4,2,1,5]=>[3,1,6,2,5,7,8,4]=>[1,2,4,1]=>11010001=>4 [1,6,7,4,3,8,2,5]=>[8,3,2,5,6,1,7,4]=>[1,1,3,2,1]=>11100101=>4 [7,3,1,6,5,2,8,4]=>[2,6,8,3,4,7,1,5]=>[3,3,2]=>10010010=>5 [6,1,8,5,4,2,7,3]=>[3,8,1,4,5,7,2,6]=>[2,4,2]=>10100010=>5 [8,5,4,2,7,1,6,3]=>[1,4,5,7,2,8,3,6]=>[4,2,2]=>10001010=>5 [4,6,1,8,5,2,7,3]=>[5,3,8,1,4,7,2,6]=>[1,2,3,2]=>11010010=>5 [4,8,5,1,6,2,7,3]=>[5,1,4,8,3,7,2,6]=>[1,3,2,2]=>11001010=>5 [5,7,3,1,6,2,8,4]=>[4,2,6,8,3,7,1,5]=>[1,3,2,2]=>11001010=>5 [1,5,8,2,6,3,7,4]=>[8,4,1,7,3,6,2,5]=>[1,1,2,2,2]=>11101010=>5 [5,6,3,1,7,2,8,4]=>[4,3,6,8,2,7,1,5]=>[1,3,2,2]=>11001010=>5 [4,7,2,8,5,1,6,3]=>[5,2,7,1,4,8,3,6]=>[1,2,3,2]=>11010010=>5 [4,6,1,7,2,8,5,3]=>[5,3,8,2,7,1,4,6]=>[1,2,2,3]=>11010100=>5 [2,4,3,8,7,5,1,6]=>[7,5,6,1,2,4,8,3]=>[1,2,4,1]=>11010001=>4 [3,5,4,1,8,6,2,7]=>[6,4,5,8,1,3,7,2]=>[1,3,3,1]=>11001001=>4 [6,5,7,3,1,4,8,2]=>[3,4,2,6,8,5,1,7]=>[2,3,1,2]=>10100110=>5 [4,1,5,8,2,6,3,7]=>[5,8,4,1,7,3,6,2]=>[2,1,2,2,1]=>10110101=>6 [2,8,1,3,4,7,6,5]=>[7,1,8,6,5,2,3,4]=>[1,2,1,1,3]=>11011100=>3 [7,8,6,2,1,5,4,3]=>[2,1,3,7,8,4,5,6]=>[1,4,3]=>11000100=>3 [2,1,3,7,5,8,6,4]=>[7,8,6,2,4,1,3,5]=>[2,1,2,3]=>10110100=>5 [3,2,4,8,6,5,1,7]=>[6,7,5,1,3,4,8,2]=>[2,1,4,1]=>10110001=>4 [8,6,2,7,3,5,1,4]=>[1,3,7,2,6,4,8,5]=>[3,2,2,1]=>10010101=>6 [2,8,6,1,3,7,5,4]=>[7,1,3,8,6,2,4,5]=>[1,3,1,3]=>11001100=>3 [6,7,5,2,4,8,1,3]=>[3,2,4,7,5,1,8,6]=>[1,3,1,2,1]=>11001101=>4 [8,6,7,2,3,5,1,4]=>[1,3,2,7,6,4,8,5]=>[2,2,1,2,1]=>10101101=>6 [7,8,6,2,4,5,1,3]=>[2,1,3,7,5,4,8,6]=>[1,3,1,2,1]=>11001101=>4 [2,1,3,8,7,5,6,4]=>[7,8,6,1,2,4,3,5]=>[2,1,3,2]=>10110010=>5 [8,1,7,3,6,5,2,4]=>[1,8,2,6,3,4,7,5]=>[2,2,3,1]=>10101001=>6 [1,6,4,7,3,8,5,2]=>[8,3,5,2,6,1,4,7]=>[1,2,2,3]=>11010100=>5 [1,2,3,5,7,9,4,6,8]=>[9,8,7,5,3,1,6,4,2]=>[1,1,1,1,1,2,1,1]=>111111011=>2 [3,4,5,6,7,8,2,1,9]=>[7,6,5,4,3,2,8,9,1]=>[1,1,1,1,1,3,1]=>111111001=>2 [3,6,5,7,1,2,4,8]=>[6,3,4,2,8,7,5,1]=>[1,2,2,1,1,1]=>11010111=>4 [4,8,1,6,3,7,2,5]=>[5,1,8,3,6,2,7,4]=>[1,2,2,2,1]=>11010101=>6 [4,8,5,6,3,2,7,1]=>[5,1,4,3,6,7,2,8]=>[1,2,3,2]=>11010010=>5 [1,7,8,6,4,5,2,3]=>[8,2,1,3,5,4,7,6]=>[1,1,3,2,1]=>11100101=>4 [6,7,2,1,4,8,5,3]=>[3,2,7,8,5,1,4,6]=>[1,3,1,3]=>11001100=>3 [2,6,4,8,5,7,1,3]=>[7,3,5,1,4,2,8,6]=>[1,2,2,2,1]=>11010101=>6 [6,4,2,5,8,7,1,3]=>[3,5,7,4,1,2,8,6]=>[3,1,3,1]=>10011001=>4 [8,5,4,1,6,3,7,2]=>[1,4,5,8,3,6,2,7]=>[4,2,2]=>10001010=>5 [1,8,6,3,4,5,7,2]=>[8,1,3,6,5,4,2,7]=>[1,3,1,1,2]=>11001110=>3 [8,2,7,3,6,5,1,4]=>[1,7,2,6,3,4,8,5]=>[2,2,3,1]=>10101001=>6 [7,2,8,6,1,4,5,3]=>[2,7,1,3,8,5,4,6]=>[2,3,1,2]=>10100110=>5 [5,2,7,3,4,8,6,1]=>[4,7,2,6,5,1,3,8]=>[2,2,1,3]=>10101100=>5 [5,7,3,2,4,8,6,1]=>[4,2,6,7,5,1,3,8]=>[1,3,1,3]=>11001100=>3 [2,6,8,5,4,3,1,7]=>[7,3,1,4,5,6,8,2]=>[1,1,5,1]=>11100001=>2 [2,8,4,6,3,5,1,7]=>[7,1,5,3,6,4,8,2]=>[1,2,2,2,1]=>11010101=>6 [1,8,4,3,5,6,2,7]=>[8,1,5,6,4,3,7,2]=>[1,3,1,2,1]=>11001101=>4 [2,7,8,3,6,4,5,1]=>[7,2,1,6,3,5,4,8]=>[1,1,2,2,2]=>11101010=>5 [8,3,1,4,2,5,6,7]=>[1,6,8,5,7,4,3,2]=>[3,2,1,1,1]=>10010111=>4 [3,8,1,4,6,5,2,7]=>[6,1,8,5,3,4,7,2]=>[1,2,1,3,1]=>11011001=>4 [2,7,5,4,1,8,3,6]=>[7,2,4,5,8,1,6,3]=>[1,4,2,1]=>11000101=>4 [4,6,1,8,5,3,2,7]=>[5,3,8,1,4,6,7,2]=>[1,2,4,1]=>11010001=>4 [3,8,5,2,1,6,4,7]=>[6,1,4,7,8,3,5,2]=>[1,4,2,1]=>11000101=>4 [4,5,8,1,3,7,6,2]=>[5,4,1,8,6,2,3,7]=>[1,1,2,1,3]=>11101100=>3 [8,6,7,1,4,3,2,5]=>[1,3,2,8,5,6,7,4]=>[2,2,3,1]=>10101001=>6 [8,5,2,6,3,4,7,1]=>[1,4,7,3,6,5,2,8]=>[3,2,1,2]=>10010110=>5 [8,3,6,1,2,7,4,5]=>[1,6,3,8,7,2,5,4]=>[2,2,1,2,1]=>10101101=>6 [3,7,6,2,1,8,5,4]=>[6,2,3,7,8,1,4,5]=>[1,4,3]=>11000100=>3 [4,3,7,6,1,8,5,2]=>[5,6,2,3,8,1,4,7]=>[2,3,3]=>10100100=>5 [8,6,3,2,7,1,5,4]=>[1,3,6,7,2,8,4,5]=>[4,2,2]=>10001010=>5 [6,8,1,5,4,7,2,3]=>[3,1,8,4,5,2,7,6]=>[1,2,2,2,1]=>11010101=>6 [6,7,2,5,4,8,1,3]=>[3,2,7,4,5,1,8,6]=>[1,2,2,2,1]=>11010101=>6 [7,6,2,4,8,5,1,3]=>[2,3,7,5,1,4,8,6]=>[3,1,3,1]=>10011001=>4 [4,6,8,7,3,1,2,5]=>[5,3,1,2,6,8,7,4]=>[1,1,4,1,1]=>11100011=>2 [8,7,5,2,1,4,3,6]=>[1,2,4,7,8,5,6,3]=>[5,2,1]=>10000101=>4 [5,7,2,1,6,3,4,8]=>[4,2,7,8,3,6,5,1]=>[1,3,2,1,1]=>11001011=>4 [5,3,6,8,7,4,1,2]=>[4,6,3,1,2,5,8,7]=>[2,1,4,1]=>10110001=>4 [4,3,1,7,2,5,6,8]=>[5,6,8,2,7,4,3,1]=>[3,2,1,1,1]=>10010111=>4 [5,7,2,6,8,3,4,1]=>[4,2,7,3,1,6,5,8]=>[1,2,1,2,2]=>11011010=>5 [7,3,4,5,2,1,8,6]=>[2,6,5,4,7,8,1,3]=>[2,1,3,2]=>10110010=>5 [7,3,4,5,2,8,6,1]=>[2,6,5,4,7,1,3,8]=>[2,1,2,3]=>10110100=>5 [3,5,6,2,8,1,4,7]=>[6,4,3,7,1,8,5,2]=>[1,1,2,2,1,1]=>11101011=>4 [4,8,5,2,6,3,7,1]=>[5,1,4,7,3,6,2,8]=>[1,3,2,2]=>11001010=>5 [2,7,4,6,1,3,5,8]=>[7,2,5,3,8,6,4,1]=>[1,2,2,1,1,1]=>11010111=>4 [8,7,2,5,6,4,1,3]=>[1,2,7,4,3,5,8,6]=>[3,1,3,1]=>10011001=>4 [2,7,4,6,8,3,1,5]=>[7,2,5,3,1,6,8,4]=>[1,2,1,3,1]=>11011001=>4 [7,1,5,6,8,4,2,3]=>[2,8,4,3,1,5,7,6]=>[2,1,1,3,1]=>10111001=>4 [8,1,2,5,6,4,7,3]=>[1,8,7,4,3,5,2,6]=>[2,1,1,2,2]=>10111010=>5 [2,8,5,1,6,3,7,4]=>[7,1,4,8,3,6,2,5]=>[1,3,2,2]=>11001010=>5 [5,1,2,4,3,7,6,8]=>[4,8,7,5,6,2,3,1]=>[2,1,2,2,1]=>10110101=>6 [6,1,8,2,4,3,5,7]=>[3,8,1,7,5,6,4,2]=>[2,2,2,1,1]=>10101011=>6 [7,6,1,5,3,4,2,8]=>[2,3,8,4,6,5,7,1]=>[3,2,2,1]=>10010101=>6 [7,6,1,3,5,4,2,8]=>[2,3,8,6,4,5,7,1]=>[3,1,3,1]=>10011001=>4 [7,2,4,1,3,6,5,8]=>[2,7,5,8,6,3,4,1]=>[2,2,1,2,1]=>10101101=>6 [1,6,8,2,5,3,4,7]=>[8,3,1,7,4,6,5,2]=>[1,1,2,2,1,1]=>11101011=>4 [8,5,2,7,3,6,4,1]=>[1,4,7,2,6,3,5,8]=>[3,2,3]=>10010100=>5 [3,6,4,1,8,2,5,7]=>[6,3,5,8,1,7,4,2]=>[1,3,2,1,1]=>11001011=>4 [8,7,6,2,4,5,1,3]=>[1,2,3,7,5,4,8,6]=>[4,1,2,1]=>10001101=>4 [8,5,2,7,3,6,1,4]=>[1,4,7,2,6,3,8,5]=>[3,2,2,1]=>10010101=>6 [5,3,8,1,7,4,6,2]=>[4,6,1,8,2,5,3,7]=>[2,2,2,2]=>10101010=>7 [8,7,6,2,4,5,3,1]=>[1,2,3,7,5,4,6,8]=>[4,1,3]=>10001100=>3 [8,7,4,6,3,1,5,2]=>[1,2,5,3,6,8,4,7]=>[3,3,2]=>10010010=>5 [8,7,5,6,1,3,2,4]=>[1,2,4,3,8,6,7,5]=>[3,2,2,1]=>10010101=>6 [5,4,8,7,1,2,6,3]=>[4,5,1,2,8,7,3,6]=>[2,3,1,2]=>10100110=>5 [8,1,2,6,5,4,7,3]=>[1,8,7,3,4,5,2,6]=>[2,1,3,2]=>10110010=>5 [2,5,6,4,3,8,1,7]=>[7,4,3,5,6,1,8,2]=>[1,1,3,2,1]=>11100101=>4 [1,2,5,6,4,8,3,7]=>[8,7,4,3,5,1,6,2]=>[1,1,1,2,2,1]=>11110101=>4 [4,1,8,5,2,7,3,6]=>[5,8,1,4,7,2,6,3]=>[2,3,2,1]=>10100101=>6 [8,7,3,5,1,4,6,2]=>[1,2,6,4,8,5,3,7]=>[3,2,1,2]=>10010110=>5 [4,6,3,1,8,2,5,7]=>[5,3,6,8,1,7,4,2]=>[1,3,2,1,1]=>11001011=>4 [8,4,5,2,1,7,3,6]=>[1,5,4,7,8,2,6,3]=>[2,3,2,1]=>10100101=>6 [8,7,3,5,2,6,1,4]=>[1,2,6,4,7,3,8,5]=>[3,2,2,1]=>10010101=>6 [8,7,3,5,2,4,6,1]=>[1,2,6,4,7,5,3,8]=>[3,2,1,2]=>10010110=>5 [8,4,2,7,6,5,1,3]=>[1,5,7,2,3,4,8,6]=>[3,4,1]=>10010001=>4 [3,2,1,7,4,8,6,5]=>[6,7,8,2,5,1,3,4]=>[3,2,3]=>10010100=>5 [2,6,3,4,8,1,7,5]=>[7,3,6,5,1,8,2,4]=>[1,2,1,2,2]=>11011010=>5 [4,6,3,8,5,2,7,1]=>[5,3,6,1,4,7,2,8]=>[1,2,3,2]=>11010010=>5 [1,8,7,6,2,3,5,4]=>[8,1,2,3,7,6,4,5]=>[1,4,1,2]=>11000110=>3 [8,4,3,1,5,6,2,7]=>[1,5,6,8,4,3,7,2]=>[4,1,2,1]=>10001101=>4 [7,1,8,4,5,6,2,3]=>[2,8,1,5,4,3,7,6]=>[2,2,1,2,1]=>10101101=>6 [3,2,1,5,8,7,4,6]=>[6,7,8,4,1,2,5,3]=>[3,1,3,1]=>10011001=>4 [5,2,8,3,1,6,7,4]=>[4,7,1,6,8,3,2,5]=>[2,3,1,2]=>10100110=>5 [6,8,3,4,2,1,5,7]=>[3,1,6,5,7,8,4,2]=>[1,2,3,1,1]=>11010011=>4 [7,8,3,4,2,6,5,1]=>[2,1,6,5,7,3,4,8]=>[1,2,2,3]=>11010100=>5 [1,7,8,6,3,2,5,4]=>[8,2,1,3,6,7,4,5]=>[1,1,4,2]=>11100010=>3 [3,7,2,4,5,6,1,8]=>[6,2,7,5,4,3,8,1]=>[1,2,1,1,2,1]=>11011101=>4 [2,7,1,4,5,6,3,8]=>[7,2,8,5,4,3,6,1]=>[1,2,1,1,2,1]=>11011101=>4 [3,2,8,1,5,7,4,6]=>[6,7,1,8,4,2,5,3]=>[2,2,1,2,1]=>10101101=>6 [8,1,7,4,5,6,3,2]=>[1,8,2,5,4,3,6,7]=>[2,2,1,3]=>10101100=>5 [1,2,6,5,7,3,4,8]=>[8,7,3,4,2,6,5,1]=>[1,1,2,2,1,1]=>11101011=>4 [7,8,6,5,1,3,4,2]=>[2,1,3,4,8,6,5,7]=>[1,4,1,2]=>11000110=>3 [7,2,5,4,6,8,3,1]=>[2,7,4,5,3,1,6,8]=>[2,2,1,3]=>10101100=>5 [6,4,1,7,8,3,5,2]=>[3,5,8,2,1,6,4,7]=>[3,1,2,2]=>10011010=>5 [2,6,7,1,4,3,8,5]=>[7,3,2,8,5,6,1,4]=>[1,1,2,2,2]=>11101010=>5 [5,7,6,2,1,8,3,4]=>[4,2,3,7,8,1,6,5]=>[1,4,2,1]=>11000101=>4 [6,3,7,4,5,1,2,8]=>[3,6,2,5,4,8,7,1]=>[2,2,2,1,1]=>10101011=>6 [3,2,7,4,8,5,6,1]=>[6,7,2,5,1,4,3,8]=>[2,2,2,2]=>10101010=>7 [7,2,5,1,6,3,8,4]=>[2,7,4,8,3,6,1,5]=>[2,2,2,2]=>10101010=>7 [6,3,8,5,4,2,7,1]=>[3,6,1,4,5,7,2,8]=>[2,4,2]=>10100010=>5 [5,1,3,8,7,4,6,2]=>[4,8,6,1,2,5,3,7]=>[2,1,3,2]=>10110010=>5 [2,5,3,8,7,4,1,6]=>[7,4,6,1,2,5,8,3]=>[1,2,4,1]=>11010001=>4 [6,8,3,5,1,2,7,4]=>[3,1,6,4,8,7,2,5]=>[1,2,2,1,2]=>11010110=>5 [5,8,2,7,4,6,3,1]=>[4,1,7,2,5,3,6,8]=>[1,2,2,3]=>11010100=>5 [4,5,2,8,3,7,1,6]=>[5,4,7,1,6,2,8,3]=>[1,2,2,2,1]=>11010101=>6 [2,3,7,4,5,6,8,9,1]=>[8,7,3,6,5,4,2,1,9]=>[1,1,2,1,1,1,2]=>111011110=>3 [7,8,5,1,6,4,3,2]=>[2,1,4,8,3,5,6,7]=>[1,3,4]=>11001000=>3 [8,7,5,1,6,4,3,2]=>[1,2,4,8,3,5,6,7]=>[4,4]=>10001000=>3 [4,5,8,3,1,2,7,6]=>[5,4,1,6,8,7,2,3]=>[1,1,3,1,2]=>11100110=>3 [4,6,8,3,2,1,7,5]=>[5,3,1,6,7,8,2,4]=>[1,1,4,2]=>11100010=>3 [4,6,8,3,5,1,2,7]=>[5,3,1,6,4,8,7,2]=>[1,1,2,2,1,1]=>11101011=>4 [4,5,8,3,1,6,2,7]=>[5,4,1,6,8,3,7,2]=>[1,1,3,2,1]=>11100101=>4 [4,6,7,3,5,2,1,8]=>[5,3,2,6,4,7,8,1]=>[1,1,2,3,1]=>11101001=>4 [5,4,2,6,1,7,3,8]=>[4,5,7,3,8,2,6,1]=>[3,2,2,1]=>10010101=>6 [7,2,6,3,4,8,1,5]=>[2,7,3,6,5,1,8,4]=>[2,2,1,2,1]=>10101101=>6 [1,8,5,2,4,3,7,6]=>[8,1,4,7,5,6,2,3]=>[1,3,2,2]=>11001010=>5 [2,5,1,3,4,8,7,6]=>[7,4,8,6,5,1,2,3]=>[1,2,1,1,3]=>11011100=>3 [1,4,6,3,7,5,2,8]=>[8,5,3,6,2,4,7,1]=>[1,1,2,3,1]=>11101001=>4 [6,5,8,3,4,7,2,1]=>[3,4,1,6,5,2,7,8]=>[2,2,1,3]=>10101100=>5 [4,5,2,6,8,7,3,1]=>[5,4,7,3,1,2,6,8]=>[1,2,1,4]=>11011000=>3 [4,7,6,3,1,5,2,8]=>[5,2,3,6,8,4,7,1]=>[1,4,2,1]=>11000101=>4 [1,7,6,3,8,5,2,4]=>[8,2,3,6,1,4,7,5]=>[1,3,3,1]=>11001001=>4 [3,7,8,1,4,5,6,2]=>[6,2,1,8,5,4,3,7]=>[1,1,2,1,1,2]=>11101110=>3 [2,7,3,1,4,5,6,8]=>[7,2,6,8,5,4,3,1]=>[1,3,1,1,1,1]=>11001111=>2 [1,8,7,4,2,5,6,3]=>[8,1,2,5,7,4,3,6]=>[1,4,1,2]=>11000110=>3 [1,8,4,2,7,5,6,3]=>[8,1,5,7,2,4,3,6]=>[1,3,2,2]=>11001010=>5 [6,4,1,3,7,5,8,2]=>[3,5,8,6,2,4,1,7]=>[3,1,2,2]=>10011010=>5 [1,3,8,7,4,5,6,2]=>[8,6,1,2,5,4,3,7]=>[1,1,3,1,2]=>11100110=>3 [7,3,1,8,4,5,6,2]=>[2,6,8,1,5,4,3,7]=>[3,2,1,2]=>10010110=>5 [3,2,8,7,4,5,6,1]=>[6,7,1,2,5,4,3,8]=>[2,3,1,2]=>10100110=>5 [6,2,4,3,7,5,8,1]=>[3,7,5,6,2,4,1,8]=>[2,2,2,2]=>10101010=>7 [2,6,4,3,7,5,1,8]=>[7,3,5,6,2,4,8,1]=>[1,3,3,1]=>11001001=>4 [6,4,2,5,1,7,8,3]=>[3,5,7,4,8,2,1,6]=>[3,2,1,2]=>10010110=>5 [3,8,2,1,5,7,6,4]=>[6,1,7,8,4,2,3,5]=>[1,3,1,3]=>11001100=>3 [1,8,3,2,5,7,6,4]=>[8,1,6,7,4,2,3,5]=>[1,3,1,3]=>11001100=>3 [1,3,2,8,7,4,6,5]=>[8,6,7,1,2,5,3,4]=>[1,2,3,2]=>11010010=>5 [3,8,2,1,7,4,6,5]=>[6,1,7,8,2,5,3,4]=>[1,3,2,2]=>11001010=>5 [7,5,2,8,3,1,6,4]=>[2,4,7,1,6,8,3,5]=>[3,3,2]=>10010010=>5 [4,6,7,3,2,5,1,8]=>[5,3,2,6,7,4,8,1]=>[1,1,3,2,1]=>11100101=>4 [1,8,4,7,3,5,6,2]=>[8,1,5,2,6,4,3,7]=>[1,2,2,1,2]=>11010110=>5 [5,4,2,7,3,8,6,1]=>[4,5,7,2,6,1,3,8]=>[3,2,3]=>10010100=>5 [5,7,2,1,3,8,6,4]=>[4,2,7,8,6,1,3,5]=>[1,3,1,3]=>11001100=>3 [4,6,3,7,8,1,2,5]=>[5,3,6,2,1,8,7,4]=>[1,2,1,2,1,1]=>11011011=>4 [4,6,2,7,1,5,8,3]=>[5,3,7,2,8,4,1,6]=>[1,2,2,1,2]=>11010110=>5 [2,7,5,4,1,6,8,3]=>[7,2,4,5,8,3,1,6]=>[1,4,1,2]=>11000110=>3 [6,8,5,4,7,1,2,3]=>[3,1,4,5,2,8,7,6]=>[1,3,2,1,1]=>11001011=>4 [8,3,5,4,7,1,2,6]=>[1,6,4,5,2,8,7,3]=>[2,2,2,1,1]=>10101011=>6 [6,2,5,4,8,7,3,1]=>[3,7,4,5,1,2,6,8]=>[2,2,4]=>10101000=>5 [6,2,5,4,1,7,8,3]=>[3,7,4,5,8,2,1,6]=>[2,3,1,2]=>10100110=>5 [8,2,5,1,3,6,7,4]=>[1,7,4,8,6,3,2,5]=>[2,2,1,1,2]=>10101110=>5 [8,1,6,4,3,2,7,5]=>[1,8,3,5,6,7,2,4]=>[2,4,2]=>10100010=>5 [5,1,8,4,3,2,7,6]=>[4,8,1,5,6,7,2,3]=>[2,4,2]=>10100010=>5 [4,1,5,6,3,8,7,2]=>[5,8,4,3,6,1,2,7]=>[2,1,2,3]=>10110100=>5 [8,5,1,6,3,2,4,7]=>[1,4,8,3,6,7,5,2]=>[3,3,1,1]=>10010011=>4 [6,8,7,4,3,2,5,1]=>[3,1,2,5,6,7,4,8]=>[1,5,2]=>11000010=>3 [1,7,8,4,3,2,5,6]=>[8,2,1,5,6,7,4,3]=>[1,1,4,1,1]=>11100011=>2 [1,8,6,4,3,2,5,7]=>[8,1,3,5,6,7,4,2]=>[1,5,1,1]=>11000011=>2 [8,1,6,5,3,2,4,7]=>[1,8,3,4,6,7,5,2]=>[2,4,1,1]=>10100011=>4 [8,2,1,4,5,6,3,7]=>[1,7,8,5,4,3,6,2]=>[3,1,1,2,1]=>10011101=>4 [8,1,5,4,6,7,3,2]=>[1,8,4,5,3,2,6,7]=>[2,2,1,3]=>10101100=>5 [2,8,5,6,3,7,4,1]=>[7,1,4,3,6,2,5,8]=>[1,2,2,3]=>11010100=>5 [5,6,8,3,1,2,4,7]=>[4,3,1,6,8,7,5,2]=>[1,1,3,1,1,1]=>11100111=>2 [2,8,5,1,3,7,6,4]=>[7,1,4,8,6,2,3,5]=>[1,3,1,3]=>11001100=>3 [2,4,5,8,3,7,6,1]=>[7,5,4,1,6,2,3,8]=>[1,1,1,2,3]=>11110100=>3 [8,3,5,4,1,7,6,2]=>[1,6,4,5,8,2,3,7]=>[2,3,3]=>10100100=>5 [8,2,3,4,1,6,5,7]=>[1,7,6,5,8,3,4,2]=>[2,1,2,2,1]=>10110101=>6 [8,1,4,6,3,2,5,7]=>[1,8,5,3,6,7,4,2]=>[2,1,3,1,1]=>10110011=>4 [5,6,4,1,8,2,7,3]=>[4,3,5,8,1,7,2,6]=>[1,3,2,2]=>11001010=>5 [6,4,5,1,3,8,7,2]=>[3,5,4,8,6,1,2,7]=>[2,2,1,3]=>10101100=>5 [6,1,3,5,4,8,2,7]=>[3,8,6,4,5,1,7,2]=>[2,1,2,2,1]=>10110101=>6 [1,3,8,7,2,5,6,4]=>[8,6,1,2,7,4,3,5]=>[1,1,3,1,2]=>11100110=>3 [2,5,4,1,8,3,7,6]=>[7,4,5,8,1,6,2,3]=>[1,3,2,2]=>11001010=>5 [5,1,4,8,3,7,6,2]=>[4,8,5,1,6,2,3,7]=>[2,1,2,3]=>10110100=>5 [8,4,1,2,7,6,5,3]=>[1,5,8,7,2,3,4,6]=>[3,1,4]=>10011000=>3 [4,8,3,2,7,6,5,1]=>[5,1,6,7,2,3,4,8]=>[1,3,4]=>11001000=>3 [1,8,7,3,4,6,5,2]=>[8,1,2,6,5,3,4,7]=>[1,3,1,3]=>11001100=>3 [5,3,1,2,4,6,8,7]=>[4,6,8,7,5,3,1,2]=>[3,1,1,1,2]=>10011110=>3 [8,5,7,3,1,2,4,6]=>[1,4,2,6,8,7,5,3]=>[2,3,1,1,1]=>10100111=>4 [3,1,2,8,7,5,4,6]=>[6,8,7,1,2,4,5,3]=>[2,1,4,1]=>10110001=>4 [2,5,8,4,1,3,6,7]=>[7,4,1,5,8,6,3,2]=>[1,1,3,1,1,1]=>11100111=>2 [5,1,3,2,8,4,6,7]=>[4,8,6,7,1,5,3,2]=>[2,2,2,1,1]=>10101011=>6 [1,4,8,3,5,2,6,7]=>[8,5,1,6,4,7,3,2]=>[1,1,2,2,1,1]=>11101011=>4 [1,4,3,8,5,7,2,6]=>[8,5,6,1,4,2,7,3]=>[1,2,2,2,1]=>11010101=>6 [1,8,3,4,7,5,2,6]=>[8,1,6,5,2,4,7,3]=>[1,2,1,3,1]=>11011001=>4 [1,5,3,7,6,4,8,2]=>[8,4,6,2,3,5,1,7]=>[1,2,3,2]=>11010010=>5 [4,8,1,3,6,2,7,5]=>[5,1,8,6,3,7,2,4]=>[1,2,1,2,2]=>11011010=>5 [2,7,3,4,8,6,5,1]=>[7,2,6,5,1,3,4,8]=>[1,2,1,4]=>11011000=>3 [1,8,2,4,7,3,6,5]=>[8,1,7,5,2,6,3,4]=>[1,2,1,2,2]=>11011010=>5 [5,8,1,7,3,2,4,6]=>[4,1,8,2,6,7,5,3]=>[1,2,3,1,1]=>11010011=>4 [8,7,3,6,2,1,4,5]=>[1,2,6,3,7,8,5,4]=>[3,3,1,1]=>10010011=>4 [2,1,5,8,3,4,7,6]=>[7,8,4,1,6,5,2,3]=>[2,1,2,1,2]=>10110110=>5 [3,8,5,1,2,7,4,6]=>[6,1,4,8,7,2,5,3]=>[1,3,1,2,1]=>11001101=>4 [6,2,3,8,1,5,7,4]=>[3,7,6,1,8,4,2,5]=>[2,1,2,1,2]=>10110110=>5 [2,5,7,4,8,3,6,1]=>[7,4,2,5,1,6,3,8]=>[1,1,2,2,2]=>11101010=>5 [8,5,6,2,4,7,1,3]=>[1,4,3,7,5,2,8,6]=>[2,2,1,2,1]=>10101101=>6 [6,3,1,5,8,2,7,4]=>[3,6,8,4,1,7,2,5]=>[3,1,2,2]=>10011010=>5 [4,8,5,6,7,1,3,2]=>[5,1,4,3,2,8,6,7]=>[1,2,1,2,2]=>11011010=>5 [5,1,2,6,8,7,4,3]=>[4,8,7,3,1,2,5,6]=>[2,1,1,4]=>10111000=>3 [1,3,4,6,8,2,7,5]=>[8,6,5,3,1,7,2,4]=>[1,1,1,1,2,2]=>11111010=>3 [8,1,5,7,3,6,4,2]=>[1,8,4,2,6,3,5,7]=>[2,1,2,3]=>10110100=>5 [2,6,7,3,8,4,5,1]=>[7,3,2,6,1,5,4,8]=>[1,1,2,2,2]=>11101010=>5 [3,8,6,2,7,5,4,1]=>[6,1,3,7,2,4,5,8]=>[1,3,4]=>11001000=>3 [3,1,7,6,5,2,4,8]=>[6,8,2,3,4,7,5,1]=>[2,4,1,1]=>10100011=>4 [4,8,1,6,2,5,3,7]=>[5,1,8,3,7,4,6,2]=>[1,2,2,2,1]=>11010101=>6 [6,8,2,7,5,1,3,4]=>[3,1,7,2,4,8,6,5]=>[1,2,3,1,1]=>11010011=>4 [1,8,4,2,5,7,3,6]=>[8,1,5,7,4,2,6,3]=>[1,3,1,2,1]=>11001101=>4 [5,8,3,1,2,4,6,7]=>[4,1,6,8,7,5,3,2]=>[1,3,1,1,1,1]=>11001111=>2 [8,5,3,1,4,2,6,7]=>[1,4,6,8,5,7,3,2]=>[4,2,1,1]=>10001011=>4 [1,4,8,5,2,3,6,7]=>[8,5,1,4,7,6,3,2]=>[1,1,3,1,1,1]=>11100111=>2 [1,4,8,5,2,3,7,6]=>[8,5,1,4,7,6,2,3]=>[1,1,3,1,2]=>11100110=>3 [7,2,5,8,1,4,3,6]=>[2,7,4,1,8,5,6,3]=>[2,1,2,2,1]=>10110101=>6 [1,7,5,8,6,2,3,4]=>[8,2,4,1,3,7,6,5]=>[1,2,3,1,1]=>11010011=>4 [8,4,6,1,2,7,3,5]=>[1,5,3,8,7,2,6,4]=>[2,2,1,2,1]=>10101101=>6 [8,4,7,1,2,6,3,5]=>[1,5,2,8,7,3,6,4]=>[2,2,1,2,1]=>10101101=>6 [1,5,8,7,2,4,3,6]=>[8,4,1,2,7,5,6,3]=>[1,1,3,2,1]=>11100101=>4 [8,7,1,3,2,5,4,6]=>[1,2,8,6,7,4,5,3]=>[3,2,2,1]=>10010101=>6 [6,7,4,2,8,1,3,5]=>[3,2,5,7,1,8,6,4]=>[1,3,2,1,1]=>11001011=>4 [4,1,6,8,7,2,3,5]=>[5,8,3,1,2,7,6,4]=>[2,1,3,1,1]=>10110011=>4 [4,1,6,8,2,7,3,5]=>[5,8,3,1,7,2,6,4]=>[2,1,2,2,1]=>10110101=>6 [6,8,3,7,4,1,2,5]=>[3,1,6,2,5,8,7,4]=>[1,2,3,1,1]=>11010011=>4 [4,7,5,6,2,8,3,1]=>[5,2,4,3,7,1,6,8]=>[1,2,2,3]=>11010100=>5 [8,4,3,6,7,5,2,1]=>[1,5,6,3,2,4,7,8]=>[3,1,4]=>10011000=>3 [6,7,5,2,8,4,3,1]=>[3,2,4,7,1,5,6,8]=>[1,3,4]=>11001000=>3 [6,8,4,3,2,7,5,1]=>[3,1,5,6,7,2,4,8]=>[1,4,3]=>11000100=>3 [2,9,8,7,6,5,1,4,3]=>[8,1,2,3,4,5,9,6,7]=>[1,6,2]=>110000010=>3 [6,5,1,4,7,8,2,3]=>[3,4,8,5,2,1,7,6]=>[3,1,1,2,1]=>10011101=>4 [2,7,6,3,5,4,8,1]=>[7,2,3,6,4,5,1,8]=>[1,3,2,2]=>11001010=>5 [7,5,4,1,8,3,6,2]=>[2,4,5,8,1,6,3,7]=>[4,2,2]=>10001010=>5 [7,1,2,8,4,6,3,5]=>[2,8,7,1,5,3,6,4]=>[2,1,2,2,1]=>10110101=>6 [8,6,1,7,5,3,4,2]=>[1,3,8,2,4,6,5,7]=>[3,3,2]=>10010010=>5 [8,2,6,3,5,7,4,1]=>[1,7,3,6,4,2,5,8]=>[2,2,1,3]=>10101100=>5 [1,3,7,6,4,8,2,5]=>[8,6,2,3,5,1,7,4]=>[1,1,3,2,1]=>11100101=>4 [2,8,7,6,4,1,5,3]=>[7,1,2,3,5,8,4,6]=>[1,5,2]=>11000010=>3 [5,4,2,8,7,6,3,1]=>[4,5,7,1,2,3,6,8]=>[3,5]=>10010000=>3 [6,1,5,8,7,4,3,2]=>[3,8,4,1,2,5,6,7]=>[2,1,5]=>10110000=>3 [6,1,8,5,7,4,3,2]=>[3,8,1,4,2,5,6,7]=>[2,2,4]=>10101000=>5 [8,5,1,4,7,6,3,2]=>[1,4,8,5,2,3,6,7]=>[3,1,4]=>10011000=>3 [8,1,4,2,7,6,5,3]=>[1,8,5,7,2,3,4,6]=>[2,2,4]=>10101000=>5 [8,5,2,4,7,6,3,1]=>[1,4,7,5,2,3,6,8]=>[3,1,4]=>10011000=>3 [8,1,3,7,2,4,6,5]=>[1,8,6,2,7,5,3,4]=>[2,1,2,1,2]=>10110110=>5 [2,6,7,3,5,8,4,1]=>[7,3,2,6,4,1,5,8]=>[1,1,2,1,3]=>11101100=>3 [2,6,7,3,5,8,1,4]=>[7,3,2,6,4,1,8,5]=>[1,1,2,1,2,1]=>11101101=>4 [5,3,1,6,4,8,2,7]=>[4,6,8,3,5,1,7,2]=>[3,2,2,1]=>10010101=>6 [2,5,6,7,1,4,8,3]=>[7,4,3,2,8,5,1,6]=>[1,1,1,2,1,2]=>11110110=>3 [2,7,3,5,8,4,6,1]=>[7,2,6,4,1,5,3,8]=>[1,2,1,2,2]=>11011010=>5 [4,7,5,3,2,8,1,6]=>[5,2,4,6,7,1,8,3]=>[1,4,2,1]=>11000101=>4 [5,2,3,6,8,4,1,7]=>[4,7,6,3,1,5,8,2]=>[2,1,1,3,1]=>10111001=>4 [3,7,6,4,8,2,5,1]=>[6,2,3,5,1,7,4,8]=>[1,3,2,2]=>11001010=>5 [5,1,3,6,8,2,7,4]=>[4,8,6,3,1,7,2,5]=>[2,1,1,2,2]=>10111010=>5 [3,8,6,7,2,5,4,1]=>[6,1,3,2,7,4,5,8]=>[1,2,2,3]=>11010100=>5 [5,8,1,2,7,4,3,6]=>[4,1,8,7,2,5,6,3]=>[1,2,1,3,1]=>11011001=>4 [6,3,1,8,2,4,5,7]=>[3,6,8,1,7,5,4,2]=>[3,2,1,1,1]=>10010111=>4 [7,2,1,4,6,8,5,3]=>[2,7,8,5,3,1,4,6]=>[3,1,1,3]=>10011100=>3 [6,3,1,8,4,5,2,7]=>[3,6,8,1,5,4,7,2]=>[3,2,2,1]=>10010101=>6 [4,2,3,6,8,1,7,5]=>[5,7,6,3,1,8,2,4]=>[2,1,1,2,2]=>10111010=>5 [3,6,2,4,8,7,5,1]=>[6,3,7,5,1,2,4,8]=>[1,2,1,4]=>11011000=>3 [7,1,3,5,8,4,6,2]=>[2,8,6,4,1,5,3,7]=>[2,1,1,2,2]=>10111010=>5 [2,1,4,7,5,8,6,3]=>[7,8,5,2,4,1,3,6]=>[2,1,2,3]=>10110100=>5 [3,6,8,5,2,1,4,7]=>[6,3,1,4,7,8,5,2]=>[1,1,4,1,1]=>11100011=>2 [8,1,4,2,7,5,6,3]=>[1,8,5,7,2,4,3,6]=>[2,2,2,2]=>10101010=>7 [6,3,4,2,7,5,8,1]=>[3,6,5,7,2,4,1,8]=>[2,2,2,2]=>10101010=>7 [6,2,7,5,8,3,4,1]=>[3,7,2,4,1,6,5,8]=>[2,2,2,2]=>10101010=>7 [4,2,7,5,8,1,6,3]=>[5,7,2,4,1,8,3,6]=>[2,2,2,2]=>10101010=>7 [8,3,4,1,6,2,7,5]=>[1,6,5,8,3,7,2,4]=>[2,2,2,2]=>10101010=>7 [8,6,3,5,2,1,7,4]=>[1,3,6,4,7,8,2,5]=>[3,3,2]=>10010010=>5 [6,8,3,1,2,5,4,7]=>[3,1,6,8,7,4,5,2]=>[1,3,1,2,1]=>11001101=>4 [5,8,6,4,7,1,2,3]=>[4,1,3,5,2,8,7,6]=>[1,3,2,1,1]=>11001011=>4 [2,5,1,8,7,3,4,6]=>[7,4,8,1,2,6,5,3]=>[1,2,3,1,1]=>11010011=>4 [7,2,4,3,8,6,1,5]=>[2,7,5,6,1,3,8,4]=>[2,2,3,1]=>10101001=>6 [1,7,6,5,4,3,2,9,8]=>[9,3,4,5,6,7,8,1,2]=>[1,6,2]=>110000010=>3 [6,8,4,3,5,1,7,2]=>[3,1,5,6,4,8,2,7]=>[1,3,2,2]=>11001010=>5 [4,2,6,7,1,5,8,3]=>[5,7,3,2,8,4,1,6]=>[2,1,2,1,2]=>10110110=>5 [6,3,8,1,7,4,5,2]=>[3,6,1,8,2,5,4,7]=>[2,2,2,2]=>10101010=>7 [7,6,1,4,5,2,8,3]=>[2,3,8,5,4,7,1,6]=>[3,1,2,2]=>10011010=>5 [1,4,7,3,6,8,2,5]=>[8,5,2,6,3,1,7,4]=>[1,1,2,1,2,1]=>11101101=>4 [3,7,1,4,6,8,2,5]=>[6,2,8,5,3,1,7,4]=>[1,2,1,1,2,1]=>11011101=>4 [2,4,7,3,6,8,1,5]=>[7,5,2,6,3,1,8,4]=>[1,1,2,1,2,1]=>11101101=>4 [5,3,7,2,6,8,1,4]=>[4,6,2,7,3,1,8,5]=>[2,2,1,2,1]=>10101101=>6 [7,6,1,5,2,8,3,4]=>[2,3,8,4,7,1,6,5]=>[3,2,2,1]=>10010101=>6 [2,1,6,7,4,5,8,3]=>[7,8,3,2,5,4,1,6]=>[2,1,2,1,2]=>10110110=>5 [8,5,7,6,1,3,2,4]=>[1,4,2,3,8,6,7,5]=>[2,3,2,1]=>10100101=>6 [2,7,5,6,1,8,4,3]=>[7,2,4,3,8,1,5,6]=>[1,2,2,3]=>11010100=>5 [1,2,6,7,4,5,8,3]=>[8,7,3,2,5,4,1,6]=>[1,1,1,2,1,2]=>11110110=>3 [6,5,2,8,7,1,4,3]=>[3,4,7,1,2,8,5,6]=>[3,3,2]=>10010010=>5 [3,8,6,5,7,2,1,4]=>[6,1,3,4,2,7,8,5]=>[1,3,3,1]=>11001001=>4 [3,8,7,2,5,1,6,4]=>[6,1,2,7,4,8,3,5]=>[1,3,2,2]=>11001010=>5 [2,7,1,4,6,8,3,5]=>[7,2,8,5,3,1,6,4]=>[1,2,1,1,2,1]=>11011101=>4 [2,6,1,3,8,5,4,7]=>[7,3,8,6,1,4,5,2]=>[1,2,1,3,1]=>11011001=>4 [6,4,1,8,3,2,5,7]=>[3,5,8,1,6,7,4,2]=>[3,3,1,1]=>10010011=>4 [5,8,1,4,2,7,3,6]=>[4,1,8,5,7,2,6,3]=>[1,2,2,2,1]=>11010101=>6 [5,7,1,4,2,8,3,6]=>[4,2,8,5,7,1,6,3]=>[1,2,2,2,1]=>11010101=>6 [6,1,4,8,3,5,2,7]=>[3,8,5,1,6,4,7,2]=>[2,1,2,2,1]=>10110101=>6 [2,3,8,6,1,5,4,7]=>[7,6,1,3,8,4,5,2]=>[1,1,3,2,1]=>11100101=>4 [7,3,2,1,8,4,6,5]=>[2,6,7,8,1,5,3,4]=>[4,2,2]=>10001010=>5 [8,3,2,1,6,7,4,5]=>[1,6,7,8,3,2,5,4]=>[4,1,2,1]=>10001101=>4 [2,7,3,8,1,4,5,6]=>[7,2,6,1,8,5,4,3]=>[1,2,2,1,1,1]=>11010111=>4 [7,3,2,1,6,8,4,5]=>[2,6,7,8,3,1,5,4]=>[4,1,2,1]=>10001101=>4 [2,3,1,6,8,7,4,5]=>[7,6,8,3,1,2,5,4]=>[1,2,1,3,1]=>11011001=>4 [6,4,8,2,1,7,3,5]=>[3,5,1,7,8,2,6,4]=>[2,3,2,1]=>10100101=>6 [2,3,1,8,7,5,6,4]=>[7,6,8,1,2,4,3,5]=>[1,2,3,2]=>11010010=>5 [6,4,1,2,7,8,5,3]=>[3,5,8,7,2,1,4,6]=>[3,1,1,3]=>10011100=>3 [6,1,4,3,2,8,7,5]=>[3,8,5,6,7,1,2,4]=>[2,3,3]=>10100100=>5 [7,1,4,3,2,6,8,5]=>[2,8,5,6,7,3,1,4]=>[2,3,1,2]=>10100110=>5 [7,4,8,2,3,6,1,5]=>[2,5,1,7,6,3,8,4]=>[2,2,1,2,1]=>10101101=>6 [1,5,6,7,2,4,3,8]=>[8,4,3,2,7,5,6,1]=>[1,1,1,2,2,1]=>11110101=>4 [6,8,3,7,1,2,5,4]=>[3,1,6,2,8,7,4,5]=>[1,2,2,1,2]=>11010110=>5 [6,8,2,1,4,7,3,5]=>[3,1,7,8,5,2,6,4]=>[1,3,1,2,1]=>11001101=>4 [2,7,3,5,1,8,6,4]=>[7,2,6,4,8,1,3,5]=>[1,2,2,3]=>11010100=>5 [3,7,8,1,6,5,4,2]=>[6,2,1,8,3,4,5,7]=>[1,1,2,4]=>11101000=>3 [8,3,4,7,2,1,6,5]=>[1,6,5,2,7,8,3,4]=>[2,1,3,2]=>10110010=>5 [1,6,7,5,2,4,3,8]=>[8,3,2,4,7,5,6,1]=>[1,1,3,2,1]=>11100101=>4 [5,7,2,4,1,8,3,6]=>[4,2,7,5,8,1,6,3]=>[1,2,2,2,1]=>11010101=>6 [2,8,6,4,1,5,3,7]=>[7,1,3,5,8,4,6,2]=>[1,4,2,1]=>11000101=>4 [1,5,7,3,6,2,4,8]=>[8,4,2,6,3,7,5,1]=>[1,1,2,2,1,1]=>11101011=>4 [7,6,1,8,2,4,3,5]=>[2,3,8,1,7,5,6,4]=>[3,2,2,1]=>10010101=>6 [6,7,4,5,1,3,8,2]=>[3,2,5,4,8,6,1,7]=>[1,2,2,1,2]=>11010110=>5 [4,1,3,2,6,8,5,7]=>[5,8,6,7,3,1,4,2]=>[2,2,1,2,1]=>10101101=>6 [7,8,3,2,5,4,1,6]=>[2,1,6,7,4,5,8,3]=>[1,3,3,1]=>11001001=>4 [8,7,3,2,5,4,1,6]=>[1,2,6,7,4,5,8,3]=>[4,3,1]=>10001001=>4 [8,1,5,7,4,3,2,6]=>[1,8,4,2,5,6,7,3]=>[2,1,4,1]=>10110001=>4 [5,6,1,2,4,8,3,7]=>[4,3,8,7,5,1,6,2]=>[1,2,1,1,2,1]=>11011101=>4 [5,1,2,4,6,8,3,7]=>[4,8,7,5,3,1,6,2]=>[2,1,1,1,2,1]=>10111101=>4 [6,1,2,4,5,8,3,7]=>[3,8,7,5,4,1,6,2]=>[2,1,1,1,2,1]=>10111101=>4 [8,7,4,5,1,3,2,6]=>[1,2,5,4,8,6,7,3]=>[3,2,2,1]=>10010101=>6 [3,1,5,7,4,2,8,6]=>[6,8,4,2,5,7,1,3]=>[2,1,3,2]=>10110010=>5 [8,5,1,2,7,4,3,6]=>[1,4,8,7,2,5,6,3]=>[3,1,3,1]=>10011001=>4 [7,8,6,1,2,3,5,4]=>[2,1,3,8,7,6,4,5]=>[1,3,1,1,2]=>11001110=>3 [6,8,7,1,2,3,5,4]=>[3,1,2,8,7,6,4,5]=>[1,3,1,1,2]=>11001110=>3 [2,7,3,1,6,4,8,5]=>[7,2,6,8,3,5,1,4]=>[1,3,2,2]=>11001010=>5 [2,7,1,6,8,3,4,5]=>[7,2,8,3,1,6,5,4]=>[1,2,1,2,1,1]=>11011011=>4 [8,7,1,2,3,5,6,4]=>[1,2,8,7,6,4,3,5]=>[3,1,1,1,2]=>10011110=>3 [2,8,1,6,7,3,4,5]=>[7,1,8,3,2,6,5,4]=>[1,2,1,2,1,1]=>11011011=>4 [3,2,4,6,1,8,7,5]=>[6,7,5,3,8,1,2,4]=>[2,1,2,3]=>10110100=>5 [7,1,8,3,6,5,2,4]=>[2,8,1,6,3,4,7,5]=>[2,2,3,1]=>10101001=>6 [3,6,7,4,1,2,5,8]=>[6,3,2,5,8,7,4,1]=>[1,1,3,1,1,1]=>11100111=>2 [7,4,3,8,5,1,6,2]=>[2,5,6,1,4,8,3,7]=>[3,3,2]=>10010010=>5 [1,4,3,6,2,8,7,5]=>[8,5,6,3,7,1,2,4]=>[1,2,2,3]=>11010100=>5 [2,4,8,5,3,6,1,7]=>[7,5,1,4,6,3,8,2]=>[1,1,3,2,1]=>11100101=>4 [2,5,4,8,7,1,3,6]=>[7,4,5,1,2,8,6,3]=>[1,2,3,1,1]=>11010011=>4 [2,8,1,4,7,6,3,5]=>[7,1,8,5,2,3,6,4]=>[1,2,1,3,1]=>11011001=>4 [5,3,6,7,2,1,4,8]=>[4,6,3,2,7,8,5,1]=>[2,1,3,1,1]=>10110011=>4 [6,1,5,7,2,8,4,3]=>[3,8,4,2,7,1,5,6]=>[2,1,2,3]=>10110100=>5 [2,6,8,1,7,4,3,5]=>[7,3,1,8,2,5,6,4]=>[1,1,2,3,1]=>11101001=>4 [1,6,8,4,7,3,2,5]=>[8,3,1,5,2,6,7,4]=>[1,1,2,3,1]=>11101001=>4 [3,6,7,5,4,8,1,2]=>[6,3,2,4,5,1,8,7]=>[1,1,3,2,1]=>11100101=>4 [4,5,7,2,6,3,8,1]=>[5,4,2,7,3,6,1,8]=>[1,1,2,2,2]=>11101010=>5 [6,7,5,4,2,8,1,3]=>[3,2,4,5,7,1,8,6]=>[1,4,2,1]=>11000101=>4 [5,4,1,7,8,6,3,2]=>[4,5,8,2,1,3,6,7]=>[3,1,4]=>10011000=>3 [7,1,5,6,8,3,2,4]=>[2,8,4,3,1,6,7,5]=>[2,1,1,3,1]=>10111001=>4 [7,5,6,4,1,8,2,3]=>[2,4,3,5,8,1,7,6]=>[2,3,2,1]=>10100101=>6 [2,3,6,8,5,7,4,1]=>[7,6,3,1,4,2,5,8]=>[1,1,1,2,3]=>11110100=>3 [8,4,5,6,2,1,7,3]=>[1,5,4,3,7,8,2,6]=>[2,1,3,2]=>10110010=>5 [2,1,5,7,4,6,8,3]=>[7,8,4,2,5,3,1,6]=>[2,1,2,1,2]=>10110110=>5 [5,7,4,6,8,2,1,3]=>[4,2,5,3,1,7,8,6]=>[1,2,1,3,1]=>11011001=>4 [5,7,1,2,3,6,8,4]=>[4,2,8,7,6,3,1,5]=>[1,2,1,1,1,2]=>11011110=>3 [2,3,5,7,8,1,6,4]=>[7,6,4,2,1,8,3,5]=>[1,1,1,1,2,2]=>11111010=>3 [8,2,3,5,6,4,1,7]=>[1,7,6,4,3,5,8,2]=>[2,1,1,3,1]=>10111001=>4 [1,5,7,4,2,3,6,8]=>[8,4,2,5,7,6,3,1]=>[1,1,3,1,1,1]=>11100111=>2 [2,4,7,5,1,3,6,8]=>[7,5,2,4,8,6,3,1]=>[1,1,3,1,1,1]=>11100111=>2 [2,4,7,5,3,6,8,1]=>[7,5,2,4,6,3,1,8]=>[1,1,3,1,2]=>11100110=>3 [4,7,1,3,6,2,5,8]=>[5,2,8,6,3,7,4,1]=>[1,2,1,2,1,1]=>11011011=>4 [1,5,2,4,7,3,6,8]=>[8,4,7,5,2,6,3,1]=>[1,2,1,2,1,1]=>11011011=>4 [8,1,7,2,4,6,3,5]=>[1,8,2,7,5,3,6,4]=>[2,2,1,2,1]=>10101101=>6 [2,5,8,1,4,7,3,6]=>[7,4,1,8,5,2,6,3]=>[1,1,2,1,2,1]=>11101101=>4 [4,7,1,2,5,8,3,6]=>[5,2,8,7,4,1,6,3]=>[1,2,1,1,2,1]=>11011101=>4 [2,3,6,8,5,7,1,4]=>[7,6,3,1,4,2,8,5]=>[1,1,1,2,2,1]=>11110101=>4 [1,2,4,7,8,6,3,5]=>[8,7,5,2,1,3,6,4]=>[1,1,1,1,3,1]=>11111001=>2 [2,3,5,7,8,4,1,6]=>[7,6,4,2,1,5,8,3]=>[1,1,1,1,3,1]=>11111001=>2 [2,4,7,8,3,5,1,6]=>[7,5,2,1,6,4,8,3]=>[1,1,1,2,2,1]=>11110101=>4 [1,3,6,2,5,8,4,7]=>[8,6,3,7,4,1,5,2]=>[1,1,2,1,2,1]=>11101101=>4 [3,6,2,5,8,4,7,1]=>[6,3,7,4,1,5,2,8]=>[1,2,1,2,2]=>11011010=>5 [2,5,8,3,6,4,7,1]=>[7,4,1,6,3,5,2,8]=>[1,1,2,2,2]=>11101010=>5 [2,5,8,1,3,6,4,7]=>[7,4,1,8,6,3,5,2]=>[1,1,2,1,2,1]=>11101101=>4 [1,5,3,6,8,2,4,7]=>[8,4,6,3,1,7,5,2]=>[1,2,1,2,1,1]=>11011011=>4 [3,5,2,4,7,8,1,6]=>[6,4,7,5,2,1,8,3]=>[1,2,1,1,2,1]=>11011101=>4 [8,3,5,2,4,6,1,7]=>[1,6,4,7,5,3,8,2]=>[2,2,1,2,1]=>10101101=>6 [3,6,4,7,1,2,5,8]=>[6,3,5,2,8,7,4,1]=>[1,2,2,1,1,1]=>11010111=>4 [4,8,1,2,6,3,7,5]=>[5,1,8,7,3,6,2,4]=>[1,2,1,2,2]=>11011010=>5 [1,8,4,2,7,3,6,5]=>[8,1,5,7,2,6,3,4]=>[1,3,2,2]=>11001010=>5 [1,7,5,2,3,8,6,4]=>[8,2,4,7,6,1,3,5]=>[1,3,1,3]=>11001100=>3 [8,1,4,7,3,5,2,6]=>[1,8,5,2,6,4,7,3]=>[2,1,2,2,1]=>10110101=>6 [8,4,3,6,1,7,2,5]=>[1,5,6,3,8,2,7,4]=>[3,2,2,1]=>10010101=>6 [2,6,1,8,3,7,4,5]=>[7,3,8,1,6,2,5,4]=>[1,2,2,2,1]=>11010101=>6 [8,4,2,1,3,7,5,6]=>[1,5,7,8,6,2,4,3]=>[4,1,2,1]=>10001101=>4 [2,5,1,7,6,8,3,4]=>[7,4,8,2,3,1,6,5]=>[1,2,2,2,1]=>11010101=>6 [5,3,1,8,2,4,7,6]=>[4,6,8,1,7,5,2,3]=>[3,2,1,2]=>10010110=>5 [1,2,6,3,7,5,8,4]=>[8,7,3,6,2,4,1,5]=>[1,1,2,2,2]=>11101010=>5 [5,1,8,3,2,4,7,6]=>[4,8,1,6,7,5,2,3]=>[2,3,1,2]=>10100110=>5 [3,1,5,4,6,7,8,2]=>[6,8,4,5,3,2,1,7]=>[2,2,1,1,2]=>10101110=>5 [2,8,5,7,3,1,4,6]=>[7,1,4,2,6,8,5,3]=>[1,2,3,1,1]=>11010011=>4 [2,6,8,7,3,1,4,5]=>[7,3,1,2,6,8,5,4]=>[1,1,4,1,1]=>11100011=>2 [7,4,2,1,3,8,5,6]=>[2,5,7,8,6,1,4,3]=>[4,1,2,1]=>10001101=>4 [1,7,5,3,2,4,8,6]=>[8,2,4,6,7,5,1,3]=>[1,4,1,2]=>11000110=>3 [3,4,1,6,5,7,8,2]=>[6,5,8,3,4,2,1,7]=>[1,2,2,1,2]=>11010110=>5 [2,8,7,3,4,1,5,6]=>[7,1,2,6,5,8,4,3]=>[1,3,2,1,1]=>11001011=>4 [5,7,6,2,3,8,1,4]=>[4,2,3,7,6,1,8,5]=>[1,3,1,2,1]=>11001101=>4 [4,5,7,6,2,8,1,3]=>[5,4,2,3,7,1,8,6]=>[1,1,3,2,1]=>11100101=>4 [3,1,8,7,5,2,6,4]=>[6,8,1,2,4,7,3,5]=>[2,4,2]=>10100010=>5 [4,5,6,8,7,2,1,3]=>[5,4,3,1,2,7,8,6]=>[1,1,1,4,1]=>11110001=>2 [3,8,4,1,5,2,7,6]=>[6,1,5,8,4,7,2,3]=>[1,3,2,2]=>11001010=>5 [3,8,5,1,4,2,7,6]=>[6,1,4,8,5,7,2,3]=>[1,3,2,2]=>11001010=>5 [4,1,5,8,3,2,7,6]=>[5,8,4,1,6,7,2,3]=>[2,1,3,2]=>10110010=>5 [4,1,7,8,3,2,6,5]=>[5,8,2,1,6,7,3,4]=>[2,1,3,2]=>10110010=>5 [5,1,7,8,3,2,6,4]=>[4,8,2,1,6,7,3,5]=>[2,1,3,2]=>10110010=>5 [1,8,6,2,4,3,7,5]=>[8,1,3,7,5,6,2,4]=>[1,3,2,2]=>11001010=>5 [1,8,7,2,4,3,6,5]=>[8,1,2,7,5,6,3,4]=>[1,3,2,2]=>11001010=>5 [1,8,6,2,5,3,7,4]=>[8,1,3,7,4,6,2,5]=>[1,3,2,2]=>11001010=>5 [3,8,4,1,6,2,7,5]=>[6,1,5,8,3,7,2,4]=>[1,3,2,2]=>11001010=>5 [4,8,3,1,6,2,7,5]=>[5,1,6,8,3,7,2,4]=>[1,3,2,2]=>11001010=>5 [3,8,2,1,6,4,7,5]=>[6,1,7,8,3,5,2,4]=>[1,3,2,2]=>11001010=>5 [2,8,3,1,7,4,6,5]=>[7,1,6,8,2,5,3,4]=>[1,3,2,2]=>11001010=>5 [7,3,6,8,2,1,5,4]=>[2,6,3,1,7,8,4,5]=>[2,1,3,2]=>10110010=>5 [7,2,6,8,3,1,5,4]=>[2,7,3,1,6,8,4,5]=>[2,1,3,2]=>10110010=>5 [5,8,3,1,7,2,6,4]=>[4,1,6,8,2,7,3,5]=>[1,3,2,2]=>11001010=>5 [3,8,5,1,7,2,6,4]=>[6,1,4,8,2,7,3,5]=>[1,3,2,2]=>11001010=>5 [7,2,6,1,5,8,4,3]=>[2,7,3,8,4,1,5,6]=>[2,2,1,3]=>10101100=>5 [6,2,7,1,5,8,4,3]=>[3,7,2,8,4,1,5,6]=>[2,2,1,3]=>10101100=>5 [3,6,7,2,5,4,8,1]=>[6,3,2,7,4,5,1,8]=>[1,1,2,2,2]=>11101010=>5 [1,4,5,6,7,8,9,3,2]=>[9,6,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,3]=>111111100=>1 [4,8,5,1,3,2,6,7]=>[5,1,4,8,6,7,3,2]=>[1,3,2,1,1]=>11001011=>4 [7,1,5,2,3,6,4,8]=>[2,8,4,7,6,3,5,1]=>[2,2,1,2,1]=>10101101=>6 [4,6,1,2,8,3,7,5]=>[5,3,8,7,1,6,2,4]=>[1,2,1,2,2]=>11011010=>5 [2,6,5,1,3,4,7,8]=>[7,3,4,8,6,5,2,1]=>[1,3,1,1,1,1]=>11001111=>2 [2,6,7,4,3,1,5,8]=>[7,3,2,5,6,8,4,1]=>[1,1,4,1,1]=>11100011=>2 [6,5,3,7,2,4,1,8]=>[3,4,6,2,7,5,8,1]=>[3,2,2,1]=>10010101=>6 [2,3,6,7,1,5,4,8]=>[7,6,3,2,8,4,5,1]=>[1,1,1,2,2,1]=>11110101=>4 [2,7,5,8,1,3,6,4]=>[7,2,4,1,8,6,3,5]=>[1,2,2,1,2]=>11010110=>5 [5,6,1,4,7,2,3,8]=>[4,3,8,5,2,7,6,1]=>[1,2,1,2,1,1]=>11011011=>4 [1,2,5,7,8,6,3,4]=>[8,7,4,2,1,3,6,5]=>[1,1,1,1,3,1]=>11111001=>2 [1,8,2,3,5,7,6,4]=>[8,1,7,6,4,2,3,5]=>[1,2,1,1,3]=>11011100=>3 [1,2,6,7,4,5,3,8]=>[8,7,3,2,5,4,6,1]=>[1,1,1,2,2,1]=>11110101=>4 [1,2,7,8,4,6,3,5]=>[8,7,2,1,5,3,6,4]=>[1,1,1,2,2,1]=>11110101=>4 [1,8,5,6,3,2,4,7]=>[8,1,4,3,6,7,5,2]=>[1,2,3,1,1]=>11010011=>4 [7,4,2,6,5,8,1,3]=>[2,5,7,3,4,1,8,6]=>[3,2,2,1]=>10010101=>6 [7,3,6,1,5,4,8,2]=>[2,6,3,8,4,5,1,7]=>[2,2,2,2]=>10101010=>7 [3,2,6,7,1,4,8,5]=>[6,7,3,2,8,5,1,4]=>[2,1,2,1,2]=>10110110=>5 [8,6,5,2,1,7,4,3]=>[1,3,4,7,8,2,5,6]=>[5,3]=>10000100=>3 [5,7,3,2,1,8,4,6]=>[4,2,6,7,8,1,5,3]=>[1,4,2,1]=>11000101=>4 [7,6,8,2,1,5,4,3]=>[2,3,1,7,8,4,5,6]=>[2,3,3]=>10100100=>5 [3,8,1,6,4,7,5,2]=>[6,1,8,3,5,2,4,7]=>[1,2,2,3]=>11010100=>5 [4,3,8,6,7,1,5,2]=>[5,6,1,3,2,8,4,7]=>[2,2,2,2]=>10101010=>7 [7,4,1,8,5,3,2,6]=>[2,5,8,1,4,6,7,3]=>[3,4,1]=>10010001=>4 [4,2,5,6,8,1,3,7]=>[5,7,4,3,1,8,6,2]=>[2,1,1,2,1,1]=>10111011=>4 [8,3,2,4,7,1,6,5]=>[1,6,7,5,2,8,3,4]=>[3,1,2,2]=>10011010=>5 [7,3,2,8,6,1,5,4]=>[2,6,7,1,3,8,4,5]=>[3,3,2]=>10010010=>5 [7,5,8,2,6,1,4,3]=>[2,4,1,7,3,8,5,6]=>[2,2,2,2]=>10101010=>7 [5,1,8,7,6,3,2,4]=>[4,8,1,2,3,6,7,5]=>[2,5,1]=>10100001=>4 [4,6,8,7,3,5,1,2]=>[5,3,1,2,6,4,8,7]=>[1,1,3,2,1]=>11100101=>4 [5,6,8,2,7,4,1,3]=>[4,3,1,7,2,5,8,6]=>[1,1,2,3,1]=>11101001=>4 [5,2,1,4,6,3,8,7]=>[4,7,8,5,3,6,1,2]=>[3,1,2,2]=>10011010=>5 [6,4,1,2,3,5,8,7]=>[3,5,8,7,6,4,1,2]=>[3,1,1,1,2]=>10011110=>3 [5,2,7,4,6,1,8,3]=>[4,7,2,5,3,8,1,6]=>[2,2,2,2]=>10101010=>7 [8,2,6,3,1,4,5,7]=>[1,7,3,6,8,5,4,2]=>[2,3,1,1,1]=>10100111=>4 [7,4,1,2,3,6,8,5]=>[2,5,8,7,6,3,1,4]=>[3,1,1,1,2]=>10011110=>3 [6,2,1,4,7,3,8,5]=>[3,7,8,5,2,6,1,4]=>[3,1,2,2]=>10011010=>5 [5,4,8,6,3,2,1,7]=>[4,5,1,3,6,7,8,2]=>[2,5,1]=>10100001=>4 [7,2,5,6,8,4,3,1]=>[2,7,4,3,1,5,6,8]=>[2,1,1,4]=>10111000=>3 [8,4,6,7,3,1,5,2]=>[1,5,3,2,6,8,4,7]=>[2,1,3,2]=>10110010=>5 [7,6,8,3,4,1,5,2]=>[2,3,1,6,5,8,4,7]=>[2,2,2,2]=>10101010=>7 [4,6,8,5,1,2,7,3]=>[5,3,1,4,8,7,2,6]=>[1,1,3,1,2]=>11100110=>3 [2,5,1,8,4,6,3,7]=>[7,4,8,1,5,3,6,2]=>[1,2,2,2,1]=>11010101=>6 [7,2,4,6,3,5,8,1]=>[2,7,5,3,6,4,1,8]=>[2,1,2,1,2]=>10110110=>5 [5,2,3,1,7,6,4,8]=>[4,7,6,8,2,3,5,1]=>[2,2,3,1]=>10101001=>6 [3,7,2,4,1,8,5,6]=>[6,2,7,5,8,1,4,3]=>[1,2,2,2,1]=>11010101=>6 [6,7,3,4,1,8,5,2]=>[3,2,6,5,8,1,4,7]=>[1,2,2,3]=>11010100=>5 [2,6,3,1,8,4,7,5]=>[7,3,6,8,1,5,2,4]=>[1,3,2,2]=>11001010=>5 [4,5,3,8,7,2,1,6]=>[5,4,6,1,2,7,8,3]=>[1,2,4,1]=>11010001=>4 [6,2,5,7,4,8,1,3]=>[3,7,4,2,5,1,8,6]=>[2,1,2,2,1]=>10110101=>6 [6,3,5,7,1,2,8,4]=>[3,6,4,2,8,7,1,5]=>[2,1,2,1,2]=>10110110=>5 [5,2,4,6,1,8,3,7]=>[4,7,5,3,8,1,6,2]=>[2,1,2,2,1]=>10110101=>6 [5,4,6,1,2,7,8,3]=>[4,5,3,8,7,2,1,6]=>[2,2,1,1,2]=>10101110=>5 [4,5,3,6,1,7,8,2]=>[5,4,6,3,8,2,1,7]=>[1,2,2,1,2]=>11010110=>5 [2,5,3,1,6,7,8,4]=>[7,4,6,8,3,2,1,5]=>[1,3,1,1,2]=>11001110=>3 [3,1,7,4,5,8,2,6]=>[6,8,2,5,4,1,7,3]=>[2,2,1,2,1]=>10101101=>6 [4,5,2,1,7,8,6,3]=>[5,4,7,8,2,1,3,6]=>[1,3,1,3]=>11001100=>3 [1,8,5,3,2,4,6,7]=>[8,1,4,6,7,5,3,2]=>[1,4,1,1,1]=>11000111=>2 [1,6,7,3,4,2,5,8]=>[8,3,2,6,5,7,4,1]=>[1,1,2,2,1,1]=>11101011=>4 [1,6,8,3,4,2,5,7]=>[8,3,1,6,5,7,4,2]=>[1,1,2,2,1,1]=>11101011=>4 [1,8,7,5,3,4,2,6]=>[8,1,2,4,6,5,7,3]=>[1,4,2,1]=>11000101=>4 [1,7,8,5,3,4,2,6]=>[8,2,1,4,6,5,7,3]=>[1,1,3,2,1]=>11100101=>4 [1,7,6,8,4,2,3,5]=>[8,2,3,1,5,7,6,4]=>[1,2,3,1,1]=>11010011=>4 [1,7,8,6,4,3,2,5]=>[8,2,1,3,5,6,7,4]=>[1,1,5,1]=>11100001=>2 [9,8,7,6,5,2,1,3,4]=>[1,2,3,4,5,8,9,7,6]=>[7,1,1]=>100000011=>2 [9,7,8,6,5,4,3,2,1]=>[1,3,2,4,5,6,7,8,9]=>[2,7]=>101000000=>3 [2,4,8,5,7,1,6,3]=>[7,5,1,4,2,8,3,6]=>[1,1,2,2,2]=>11101010=>5 [7,2,8,6,4,1,5,3]=>[2,7,1,3,5,8,4,6]=>[2,4,2]=>10100010=>5 [5,1,7,8,4,2,3,6]=>[4,8,2,1,5,7,6,3]=>[2,1,3,1,1]=>10110011=>4 [3,8,2,1,6,7,5,4]=>[6,1,7,8,3,2,4,5]=>[1,3,1,3]=>11001100=>3 [2,8,3,1,7,5,6,4]=>[7,1,6,8,2,4,3,5]=>[1,3,2,2]=>11001010=>5 [7,6,2,5,4,1,8,3]=>[2,3,7,4,5,8,1,6]=>[3,3,2]=>10010010=>5 [3,8,7,1,2,6,4,5]=>[6,1,2,8,7,3,5,4]=>[1,3,1,2,1]=>11001101=>4 [8,2,1,3,4,7,6,5]=>[1,7,8,6,5,2,3,4]=>[3,1,1,3]=>10011100=>3 [8,5,6,2,1,4,7,3]=>[1,4,3,7,8,5,2,6]=>[2,3,1,2]=>10100110=>5 [3,5,6,7,8,1,9,2,4]=>[7,5,4,3,2,9,1,8,6]=>[1,1,1,1,2,2,1]=>111110101=>4 [7,8,3,2,5,1,6,4]=>[2,1,6,7,4,8,3,5]=>[1,3,2,2]=>11001010=>5 [6,4,1,5,3,7,2,8]=>[3,5,8,4,6,2,7,1]=>[3,2,2,1]=>10010101=>6 [2,1,6,4,7,8,3,5]=>[7,8,3,5,2,1,6,4]=>[2,2,1,2,1]=>10101101=>6 [5,4,2,6,7,8,3,1]=>[4,5,7,3,2,1,6,8]=>[3,1,1,3]=>10011100=>3 [6,3,7,4,2,1,5,8]=>[3,6,2,5,7,8,4,1]=>[2,4,1,1]=>10100011=>4 [5,7,8,3,4,2,1,6]=>[4,2,1,6,5,7,8,3]=>[1,1,2,3,1]=>11101001=>4 [4,7,5,3,8,2,6,1]=>[5,2,4,6,1,7,3,8]=>[1,3,2,2]=>11001010=>5 [4,6,3,2,7,1,8,5]=>[5,3,6,7,2,8,1,4]=>[1,3,2,2]=>11001010=>5 [2,6,4,7,8,5,3,1]=>[7,3,5,2,1,4,6,8]=>[1,2,1,4]=>11011000=>3 [2,5,1,8,4,6,7,3]=>[7,4,8,1,5,3,2,6]=>[1,2,2,1,2]=>11010110=>5 [5,3,4,8,2,1,6,7]=>[4,6,5,1,7,8,3,2]=>[2,1,3,1,1]=>10110011=>4 [5,2,8,4,6,7,1,3]=>[4,7,1,5,3,2,8,6]=>[2,2,1,2,1]=>10101101=>6 [1,5,3,8,4,6,7,2]=>[8,4,6,1,5,3,2,7]=>[1,2,2,1,2]=>11010110=>5 [5,4,1,8,3,6,2,7]=>[4,5,8,1,6,3,7,2]=>[3,2,2,1]=>10010101=>6 [6,5,8,3,4,2,1,7]=>[3,4,1,6,5,7,8,2]=>[2,2,3,1]=>10101001=>6 [1,3,5,8,4,6,7,2]=>[8,6,4,1,5,3,2,7]=>[1,1,1,2,1,2]=>11110110=>3 [3,4,5,8,2,1,6,7]=>[6,5,4,1,7,8,3,2]=>[1,1,1,3,1,1]=>11110011=>2 [6,8,7,3,2,1,4,5]=>[3,1,2,6,7,8,5,4]=>[1,5,1,1]=>11000011=>2 [3,4,8,2,7,1,5,6]=>[6,5,1,7,2,8,4,3]=>[1,1,2,2,1,1]=>11101011=>4 [7,2,6,1,4,8,3,5]=>[2,7,3,8,5,1,6,4]=>[2,2,1,2,1]=>10101101=>6 [7,8,1,2,4,6,3,5]=>[2,1,8,7,5,3,6,4]=>[1,2,1,1,2,1]=>11011101=>4 [7,2,8,3,4,5,1,6]=>[2,7,1,6,5,4,8,3]=>[2,2,1,2,1]=>10101101=>6 [6,1,8,3,4,2,5,7]=>[3,8,1,6,5,7,4,2]=>[2,2,2,1,1]=>10101011=>6 [7,5,1,2,4,3,8,6]=>[2,4,8,7,5,6,1,3]=>[3,1,2,2]=>10011010=>5 [7,6,8,1,4,2,3,5]=>[2,3,1,8,5,7,6,4]=>[2,2,2,1,1]=>10101011=>6 [3,1,6,2,5,8,7,4]=>[6,8,3,7,4,1,2,5]=>[2,2,1,3]=>10101100=>5 [5,4,1,7,2,3,6,8]=>[4,5,8,2,7,6,3,1]=>[3,2,1,1,1]=>10010111=>4 [2,8,6,7,3,4,5,1]=>[7,1,3,2,6,5,4,8]=>[1,2,2,1,2]=>11010110=>5 [2,7,6,8,3,4,5,1]=>[7,2,3,1,6,5,4,8]=>[1,2,2,1,2]=>11010110=>5 [2,6,7,8,3,4,5,1]=>[7,3,2,1,6,5,4,8]=>[1,1,1,2,1,2]=>11110110=>3 [2,4,3,7,8,5,6,1]=>[7,5,6,2,1,4,3,8]=>[1,2,1,2,2]=>11011010=>5 [5,1,8,7,2,4,6,3]=>[4,8,1,2,7,5,3,6]=>[2,3,1,2]=>10100110=>5 [3,8,1,2,7,4,6,5]=>[6,1,8,7,2,5,3,4]=>[1,2,1,2,2]=>11011010=>5 [4,8,7,1,2,3,5,6]=>[5,1,2,8,7,6,4,3]=>[1,3,1,1,1,1]=>11001111=>2 [6,3,5,2,1,8,4,7]=>[3,6,4,7,8,1,5,2]=>[2,3,2,1]=>10100101=>6 [6,1,5,3,8,2,4,7]=>[3,8,4,6,1,7,5,2]=>[2,2,2,1,1]=>10101011=>6 [2,3,6,8,5,1,7,4]=>[7,6,3,1,4,8,2,5]=>[1,1,1,3,2]=>11110010=>3 [3,2,4,8,6,1,7,5]=>[6,7,5,1,3,8,2,4]=>[2,1,3,2]=>10110010=>5 [2,1,3,8,4,5,7,6]=>[7,8,6,1,5,4,2,3]=>[2,1,2,1,2]=>10110110=>5 [3,1,2,8,6,7,4,5]=>[6,8,7,1,3,2,5,4]=>[2,1,2,2,1]=>10110101=>6 [2,1,6,3,8,7,4,5]=>[7,8,3,6,1,2,5,4]=>[2,2,3,1]=>10101001=>6 [3,1,2,8,5,4,7,6]=>[6,8,7,1,4,5,2,3]=>[2,1,3,2]=>10110010=>5 [2,1,3,7,8,4,6,5]=>[7,8,6,2,1,5,3,4]=>[2,1,1,2,2]=>10111010=>5 [2,1,3,8,4,7,6,5]=>[7,8,6,1,5,2,3,4]=>[2,1,2,3]=>10110100=>5 [3,1,2,8,4,5,7,6]=>[6,8,7,1,5,4,2,3]=>[2,1,2,1,2]=>10110110=>5 [1,2,8,7,5,4,6,3]=>[8,7,1,2,4,5,3,6]=>[1,1,4,2]=>11100010=>3 [4,6,7,2,3,8,1,5]=>[5,3,2,7,6,1,8,4]=>[1,1,2,1,2,1]=>11101101=>4 [3,2,6,5,7,8,1,4]=>[6,7,3,4,2,1,8,5]=>[2,2,1,2,1]=>10101101=>6 [3,1,7,5,8,6,2,4]=>[6,8,2,4,1,3,7,5]=>[2,2,3,1]=>10101001=>6 [3,7,1,4,8,6,2,5]=>[6,2,8,5,1,3,7,4]=>[1,2,1,3,1]=>11011001=>4 [2,6,1,8,7,3,4,5]=>[7,3,8,1,2,6,5,4]=>[1,2,3,1,1]=>11010011=>4 [2,7,1,8,6,3,4,5]=>[7,2,8,1,3,6,5,4]=>[1,2,3,1,1]=>11010011=>4 [2,1,8,7,4,6,5,3]=>[7,8,1,2,5,3,4,6]=>[2,3,3]=>10100100=>5 [7,2,1,8,3,5,4,6]=>[2,7,8,1,6,4,5,3]=>[3,2,2,1]=>10010101=>6 [2,7,1,8,3,4,6,5]=>[7,2,8,1,6,5,3,4]=>[1,2,2,1,2]=>11010110=>5 [2,1,8,7,4,5,6,3]=>[7,8,1,2,5,4,3,6]=>[2,3,1,2]=>10100110=>5 [3,7,5,2,6,4,8,1]=>[6,2,4,7,3,5,1,8]=>[1,3,2,2]=>11001010=>5 [5,2,7,4,6,3,8,1]=>[4,7,2,5,3,6,1,8]=>[2,2,2,2]=>10101010=>7 [6,1,5,8,4,7,3,2]=>[3,8,4,1,5,2,6,7]=>[2,1,2,3]=>10110100=>5 [1,4,6,8,5,7,2,3]=>[8,5,3,1,4,2,7,6]=>[1,1,1,2,2,1]=>11110101=>4 [8,3,5,7,6,4,1,2]=>[1,6,4,2,3,5,8,7]=>[2,1,4,1]=>10110001=>4 [2,8,5,1,6,4,3,7]=>[7,1,4,8,3,5,6,2]=>[1,3,3,1]=>11001001=>4 [2,4,7,1,8,3,6,5]=>[7,5,2,8,1,6,3,4]=>[1,1,2,2,2]=>11101010=>5 [2,5,8,3,7,1,4,6]=>[7,4,1,6,2,8,5,3]=>[1,1,2,2,1,1]=>11101011=>4 [4,2,1,7,5,8,6,3]=>[5,7,8,2,4,1,3,6]=>[3,2,3]=>10010100=>5 [8,5,2,3,4,1,7,6]=>[1,4,7,6,5,8,2,3]=>[3,1,2,2]=>10011010=>5 [6,5,7,1,4,8,2,3]=>[3,4,2,8,5,1,7,6]=>[2,2,1,2,1]=>10101101=>6 [3,7,5,4,2,6,8,1]=>[6,2,4,5,7,3,1,8]=>[1,4,1,2]=>11000110=>3 [8,4,1,6,5,3,7,2]=>[1,5,8,3,4,6,2,7]=>[3,3,2]=>10010010=>5 [4,1,2,7,6,8,5,3]=>[5,8,7,2,3,1,4,6]=>[2,1,2,3]=>10110100=>5 [4,8,2,5,6,3,1,7]=>[5,1,7,4,3,6,8,2]=>[1,2,1,3,1]=>11011001=>4 [8,4,3,5,6,1,7,2]=>[1,5,6,4,3,8,2,7]=>[3,1,2,2]=>10011010=>5 [6,1,5,4,2,3,8,7]=>[3,8,4,5,7,6,1,2]=>[2,3,1,2]=>10100110=>5 [8,4,1,5,7,6,3,2]=>[1,5,8,4,2,3,6,7]=>[3,1,4]=>10011000=>3 [8,1,6,3,5,2,4,7]=>[1,8,3,6,4,7,5,2]=>[2,2,2,1,1]=>10101011=>6 [4,6,2,5,3,8,1,7]=>[5,3,7,4,6,1,8,2]=>[1,2,2,2,1]=>11010101=>6 [4,6,5,2,1,8,3,7]=>[5,3,4,7,8,1,6,2]=>[1,4,2,1]=>11000101=>4 [5,8,4,3,6,7,2,1]=>[4,1,5,6,3,2,7,8]=>[1,3,1,3]=>11001100=>3 [6,8,2,1,5,3,4,7]=>[3,1,7,8,4,6,5,2]=>[1,3,2,1,1]=>11001011=>4 [2,5,3,8,6,7,4,1]=>[7,4,6,1,3,2,5,8]=>[1,2,2,3]=>11010100=>5 [3,2,6,5,1,8,4,7]=>[6,7,3,4,8,1,5,2]=>[2,3,2,1]=>10100101=>6 [7,4,5,8,1,6,2,3]=>[2,5,4,1,8,3,7,6]=>[2,1,2,2,1]=>10110101=>6 [4,5,8,1,6,7,3,2]=>[5,4,1,8,3,2,6,7]=>[1,1,2,1,3]=>11101100=>3 [6,5,2,3,7,4,8,1]=>[3,4,7,6,2,5,1,8]=>[3,1,2,2]=>10011010=>5 [7,4,3,6,2,8,1,5]=>[2,5,6,3,7,1,8,4]=>[3,2,2,1]=>10010101=>6 [8,4,3,6,2,7,1,5]=>[1,5,6,3,7,2,8,4]=>[3,2,2,1]=>10010101=>6 [8,5,3,1,2,7,4,6]=>[1,4,6,8,7,2,5,3]=>[4,1,2,1]=>10001101=>4 [3,8,6,7,1,2,4,5]=>[6,1,3,2,8,7,5,4]=>[1,2,2,1,1,1]=>11010111=>4 [5,3,8,4,7,1,2,6]=>[4,6,1,5,2,8,7,3]=>[2,2,2,1,1]=>10101011=>6 [3,5,4,8,1,2,6,7]=>[6,4,5,1,8,7,3,2]=>[1,2,2,1,1,1]=>11010111=>4 [6,5,3,8,1,7,2,4]=>[3,4,6,1,8,2,7,5]=>[3,2,2,1]=>10010101=>6 [8,3,7,1,6,2,4,5]=>[1,6,2,8,3,7,5,4]=>[2,2,2,1,1]=>10101011=>6 [2,6,8,7,1,3,4,5]=>[7,3,1,2,8,6,5,4]=>[1,1,3,1,1,1]=>11100111=>2 [4,7,2,8,6,1,3,5]=>[5,2,7,1,3,8,6,4]=>[1,2,3,1,1]=>11010011=>4 [4,2,8,7,6,1,3,5]=>[5,7,1,2,3,8,6,4]=>[2,4,1,1]=>10100011=>4 [8,1,7,5,6,4,2,3]=>[1,8,2,4,3,5,7,6]=>[2,2,3,1]=>10101001=>6 [8,6,1,5,3,7,2,4]=>[1,3,8,4,6,2,7,5]=>[3,2,2,1]=>10010101=>6 [8,3,6,7,4,2,1,5]=>[1,6,3,2,5,7,8,4]=>[2,1,4,1]=>10110001=>4 [8,7,2,5,6,3,4,1]=>[1,2,7,4,3,6,5,8]=>[3,1,2,2]=>10011010=>5 [1,7,2,8,3,4,6,5]=>[8,2,7,1,6,5,3,4]=>[1,2,2,1,2]=>11010110=>5 [7,2,3,6,8,1,5,4]=>[2,7,6,3,1,8,4,5]=>[2,1,1,2,2]=>10111010=>5 [2,6,3,7,8,1,4,5]=>[7,3,6,2,1,8,5,4]=>[1,2,1,2,1,1]=>11011011=>4 [6,3,8,7,2,1,5,4]=>[3,6,1,2,7,8,4,5]=>[2,4,2]=>10100010=>5 [7,2,5,6,3,4,8,1]=>[2,7,4,3,6,5,1,8]=>[2,1,2,1,2]=>10110110=>5 [7,2,8,6,3,1,5,4]=>[2,7,1,3,6,8,4,5]=>[2,4,2]=>10100010=>5 [7,2,4,5,8,6,3,1]=>[2,7,5,4,1,3,6,8]=>[2,1,1,4]=>10111000=>3 [6,3,8,4,7,2,5,1]=>[3,6,1,5,2,7,4,8]=>[2,2,2,2]=>10101010=>7 [7,2,3,6,8,5,4,1]=>[2,7,6,3,1,4,5,8]=>[2,1,1,4]=>10111000=>3 [7,4,5,2,8,1,6,3]=>[2,5,4,7,1,8,3,6]=>[2,2,2,2]=>10101010=>7 [7,5,4,2,8,1,6,3]=>[2,4,5,7,1,8,3,6]=>[4,2,2]=>10001010=>5 [7,6,3,2,8,4,5,1]=>[2,3,6,7,1,5,4,8]=>[4,2,2]=>10001010=>5 [7,2,3,6,8,4,5,1]=>[2,7,6,3,1,5,4,8]=>[2,1,1,2,2]=>10111010=>5 [7,2,8,3,6,1,4,5]=>[2,7,1,6,3,8,5,4]=>[2,2,2,1,1]=>10101011=>6 [3,1,6,7,4,5,2,8]=>[6,8,3,2,5,4,7,1]=>[2,1,2,2,1]=>10110101=>6 [3,1,5,4,7,6,2,8]=>[6,8,4,5,2,3,7,1]=>[2,2,3,1]=>10101001=>6 [7,3,6,8,2,4,5,1]=>[2,6,3,1,7,5,4,8]=>[2,1,2,1,2]=>10110110=>5 [5,1,3,2,4,6,8,7]=>[4,8,6,7,5,3,1,2]=>[2,2,1,1,2]=>10101110=>5 [6,4,2,5,7,3,8,1]=>[3,5,7,4,2,6,1,8]=>[3,1,2,2]=>10011010=>5 [5,7,8,4,2,3,6,1]=>[4,2,1,5,7,6,3,8]=>[1,1,3,1,2]=>11100110=>3 [6,4,5,2,8,3,7,1]=>[3,5,4,7,1,6,2,8]=>[2,2,2,2]=>10101010=>7 [6,5,2,4,3,8,7,1]=>[3,4,7,5,6,1,2,8]=>[3,2,3]=>10010100=>5 [6,4,5,3,8,1,2,7]=>[3,5,4,6,1,8,7,2]=>[2,2,2,1,1]=>10101011=>6 [5,6,4,8,3,1,2,7]=>[4,3,5,1,6,8,7,2]=>[1,2,3,1,1]=>11010011=>4 [6,3,4,7,5,2,8,1]=>[3,6,5,2,4,7,1,8]=>[2,1,3,2]=>10110010=>5 [7,3,2,6,4,8,5,1]=>[2,6,7,3,5,1,4,8]=>[3,2,3]=>10010100=>5 [4,7,2,6,5,3,8,1]=>[5,2,7,3,4,6,1,8]=>[1,2,3,2]=>11010010=>5 [7,2,4,6,3,8,5,1]=>[2,7,5,3,6,1,4,8]=>[2,1,2,3]=>10110100=>5 [8,1,3,7,6,2,5,4]=>[1,8,6,2,3,7,4,5]=>[2,1,3,2]=>10110010=>5 [2,8,3,7,6,1,5,4]=>[7,1,6,2,3,8,4,5]=>[1,2,3,2]=>11010010=>5 [7,2,3,5,8,6,4,1]=>[2,7,6,4,1,3,5,8]=>[2,1,1,4]=>10111000=>3 [4,6,5,3,8,1,7,2]=>[5,3,4,6,1,8,2,7]=>[1,3,2,2]=>11001010=>5 [6,3,4,8,1,7,5,2]=>[3,6,5,1,8,2,4,7]=>[2,1,2,3]=>10110100=>5 [7,2,3,8,4,6,5,1]=>[2,7,6,1,5,3,4,8]=>[2,1,2,3]=>10110100=>5 [2,4,8,7,6,1,5,3]=>[7,5,1,2,3,8,4,6]=>[1,1,4,2]=>11100010=>3 [8,3,1,4,7,6,5,2]=>[1,6,8,5,2,3,4,7]=>[3,1,4]=>10011000=>3 [5,4,2,8,3,7,6,1]=>[4,5,7,1,6,2,3,8]=>[3,2,3]=>10010100=>5 [3,8,1,7,4,6,5,2]=>[6,1,8,2,5,3,4,7]=>[1,2,2,3]=>11010100=>5 [8,6,1,2,4,5,3,7]=>[1,3,8,7,5,4,6,2]=>[3,1,1,2,1]=>10011101=>4 [8,2,6,5,1,4,3,7]=>[1,7,3,4,8,5,6,2]=>[2,3,2,1]=>10100101=>6 [8,6,2,5,1,4,3,7]=>[1,3,7,4,8,5,6,2]=>[3,2,2,1]=>10010101=>6 [4,8,5,2,7,6,3,1]=>[5,1,4,7,2,3,6,8]=>[1,3,4]=>11001000=>3 [5,8,6,2,7,1,3,4]=>[4,1,3,7,2,8,6,5]=>[1,3,2,1,1]=>11001011=>4 [7,2,8,5,6,4,1,3]=>[2,7,1,4,3,5,8,6]=>[2,2,3,1]=>10101001=>6 [3,8,2,7,4,1,6,5]=>[6,1,7,2,5,8,3,4]=>[1,2,3,2]=>11010010=>5 [2,8,6,5,7,1,3,4]=>[7,1,3,4,2,8,6,5]=>[1,3,2,1,1]=>11001011=>4 [1,4,8,6,2,5,7,3]=>[8,5,1,3,7,4,2,6]=>[1,1,3,1,2]=>11100110=>3 [3,8,4,7,2,1,6,5]=>[6,1,5,2,7,8,3,4]=>[1,2,3,2]=>11010010=>5 [6,8,7,2,4,1,3,5]=>[3,1,2,7,5,8,6,4]=>[1,3,2,1,1]=>11001011=>4 [3,4,8,6,2,5,1,7]=>[6,5,1,3,7,4,8,2]=>[1,1,3,2,1]=>11100101=>4 [7,3,8,6,2,5,4,1]=>[2,6,1,3,7,4,5,8]=>[2,3,3]=>10100100=>5 [5,3,8,1,6,4,7,2]=>[4,6,1,8,3,5,2,7]=>[2,2,2,2]=>10101010=>7 [4,8,5,1,7,6,3,2]=>[5,1,4,8,2,3,6,7]=>[1,3,4]=>11001000=>3 [5,8,1,7,6,2,3,4]=>[4,1,8,2,3,7,6,5]=>[1,2,3,1,1]=>11010011=>4 [3,1,8,5,6,4,7,2]=>[6,8,1,4,3,5,2,7]=>[2,2,2,2]=>10101010=>7 [2,3,8,6,4,5,1,7]=>[7,6,1,3,5,4,8,2]=>[1,1,3,2,1]=>11100101=>4 [7,6,2,8,5,4,3,1]=>[2,3,7,1,4,5,6,8]=>[3,5]=>10010000=>3 [1,7,5,2,6,8,3,4]=>[8,2,4,7,3,1,6,5]=>[1,3,1,2,1]=>11001101=>4 [7,8,6,1,2,4,3,5]=>[2,1,3,8,7,5,6,4]=>[1,3,1,2,1]=>11001101=>4 [4,5,6,1,3,8,7,2]=>[5,4,3,8,6,1,2,7]=>[1,1,2,1,3]=>11101100=>3 [2,3,7,8,6,5,1,4]=>[7,6,2,1,3,4,8,5]=>[1,1,1,4,1]=>11110001=>2 [1,7,4,8,2,6,3,5]=>[8,2,5,1,7,3,6,4]=>[1,2,2,2,1]=>11010101=>6 [5,1,7,2,4,6,3,8]=>[4,8,2,7,5,3,6,1]=>[2,2,1,2,1]=>10101101=>6 [7,3,2,1,4,8,5,6]=>[2,6,7,8,5,1,4,3]=>[4,1,2,1]=>10001101=>4 [6,8,2,1,3,4,7,5]=>[3,1,7,8,6,5,2,4]=>[1,3,1,1,2]=>11001110=>3 [7,4,8,3,6,5,1,2]=>[2,5,1,6,3,4,8,7]=>[2,2,3,1]=>10101001=>6 [6,4,8,5,1,7,2,3]=>[3,5,1,4,8,2,7,6]=>[2,3,2,1]=>10100101=>6 [5,2,8,1,3,6,7,4]=>[4,7,1,8,6,3,2,5]=>[2,2,1,1,2]=>10101110=>5 [6,2,1,8,7,4,5,3]=>[3,7,8,1,2,5,4,6]=>[3,3,2]=>10010010=>5 [4,2,6,8,5,7,1,3]=>[5,7,3,1,4,2,8,6]=>[2,1,2,2,1]=>10110101=>6 [8,6,4,3,2,7,5,1]=>[1,3,5,6,7,2,4,8]=>[5,3]=>10000100=>3 [6,8,3,2,1,7,5,4]=>[3,1,6,7,8,2,4,5]=>[1,4,3]=>11000100=>3 [5,1,8,6,2,4,7,3]=>[4,8,1,3,7,5,2,6]=>[2,3,1,2]=>10100110=>5 [1,5,8,2,6,4,3,7]=>[8,4,1,7,3,5,6,2]=>[1,1,2,3,1]=>11101001=>4 [3,5,6,2,4,7,8,1]=>[6,4,3,7,5,2,1,8]=>[1,1,2,1,1,2]=>11101110=>3 [3,5,7,6,8,2,4,1]=>[6,4,2,3,1,7,5,8]=>[1,1,2,2,2]=>11101010=>5 [3,5,7,2,6,8,4,1]=>[6,4,2,7,3,1,5,8]=>[1,1,2,1,3]=>11101100=>3 [3,5,2,7,6,8,4,1]=>[6,4,7,2,3,1,5,8]=>[1,2,2,3]=>11010100=>5 [3,5,7,4,2,6,8,1]=>[6,4,2,5,7,3,1,8]=>[1,1,3,1,2]=>11100110=>3 [3,4,5,7,2,6,8,1]=>[6,5,4,2,7,3,1,8]=>[1,1,1,2,1,2]=>11110110=>3 [3,4,5,7,2,8,6,1]=>[6,5,4,2,7,1,3,8]=>[1,1,1,2,3]=>11110100=>3 [3,5,4,7,2,8,6,1]=>[6,4,5,2,7,1,3,8]=>[1,2,2,3]=>11010100=>5 [3,2,5,7,4,8,6,1]=>[6,7,4,2,5,1,3,8]=>[2,1,2,3]=>10110100=>5 [3,5,7,8,4,2,6,1]=>[6,4,2,1,5,7,3,8]=>[1,1,1,3,2]=>11110010=>3 [2,3,5,7,8,4,6,1]=>[7,6,4,2,1,5,3,8]=>[1,1,1,1,2,2]=>11111010=>3 [3,5,2,7,8,6,4,1]=>[6,4,7,2,1,3,5,8]=>[1,2,1,4]=>11011000=>3 [3,5,7,8,2,6,4,1]=>[6,4,2,1,7,3,5,8]=>[1,1,1,2,3]=>11110100=>3 [3,5,7,8,6,2,4,1]=>[6,4,2,1,3,7,5,8]=>[1,1,1,3,2]=>11110010=>3 [4,2,5,6,7,3,8,1]=>[5,7,4,3,2,6,1,8]=>[2,1,1,2,2]=>10111010=>5 [8,6,1,4,3,5,2,7]=>[1,3,8,5,6,4,7,2]=>[3,2,2,1]=>10010101=>6 [6,1,8,4,3,5,2,7]=>[3,8,1,5,6,4,7,2]=>[2,3,2,1]=>10100101=>6 [5,1,6,4,8,2,3,7]=>[4,8,3,5,1,7,6,2]=>[2,2,2,1,1]=>10101011=>6 [8,1,4,2,5,3,6,7]=>[1,8,5,7,4,6,3,2]=>[2,2,2,1,1]=>10101011=>6 [2,8,4,1,5,3,6,7]=>[7,1,5,8,4,6,3,2]=>[1,3,2,1,1]=>11001011=>4 [4,1,8,3,5,2,6,7]=>[5,8,1,6,4,7,3,2]=>[2,2,2,1,1]=>10101011=>6 [8,3,1,2,5,4,6,7]=>[1,6,8,7,4,5,3,2]=>[3,1,2,1,1]=>10011011=>4 [3,1,8,2,5,4,6,7]=>[6,8,1,7,4,5,3,2]=>[2,2,2,1,1]=>10101011=>6 [4,2,5,1,8,7,6,3]=>[5,7,4,8,1,2,3,6]=>[2,2,4]=>10101000=>5 [5,2,4,8,1,7,6,3]=>[4,7,5,1,8,2,3,6]=>[2,1,2,3]=>10110100=>5 [7,3,2,4,6,8,1,5]=>[2,6,7,5,3,1,8,4]=>[3,1,1,2,1]=>10011101=>4 [1,4,8,6,7,2,5,3]=>[8,5,1,3,2,7,4,6]=>[1,1,2,2,2]=>11101010=>5 [1,4,5,7,3,8,2,6]=>[8,5,4,2,6,1,7,3]=>[1,1,1,2,2,1]=>11110101=>4 [4,6,8,1,2,5,3,7]=>[5,3,1,8,7,4,6,2]=>[1,1,2,1,2,1]=>11101101=>4 [3,5,6,8,2,1,4,7]=>[6,4,3,1,7,8,5,2]=>[1,1,1,3,1,1]=>11110011=>2 [8,2,5,4,1,3,7,6]=>[1,7,4,5,8,6,2,3]=>[2,3,1,2]=>10100110=>5 [2,4,5,8,6,3,1,7]=>[7,5,4,1,3,6,8,2]=>[1,1,1,4,1]=>11110001=>2 [5,4,8,2,3,1,7,6]=>[4,5,1,7,6,8,2,3]=>[2,2,2,2]=>10101010=>7 [4,7,5,8,2,3,1,6]=>[5,2,4,1,7,6,8,3]=>[1,2,2,2,1]=>11010101=>6 [4,6,7,5,1,8,3,2]=>[5,3,2,4,8,1,6,7]=>[1,1,3,3]=>11100100=>3 [1,7,3,6,5,8,2,4]=>[8,2,6,3,4,1,7,5]=>[1,2,2,2,1]=>11010101=>6 [8,3,4,2,6,7,1,5]=>[1,6,5,7,3,2,8,4]=>[2,2,1,2,1]=>10101101=>6 [7,5,3,8,6,2,1,4]=>[2,4,6,1,3,7,8,5]=>[3,4,1]=>10010001=>4 [7,3,1,8,2,6,5,4]=>[2,6,8,1,7,3,4,5]=>[3,2,3]=>10010100=>5 [4,6,7,5,2,8,3,1]=>[5,3,2,4,7,1,6,8]=>[1,1,3,3]=>11100100=>3 [5,8,7,2,4,3,1,6]=>[4,1,2,7,5,6,8,3]=>[1,3,3,1]=>11001001=>4 [5,1,2,8,6,7,3,4]=>[4,8,7,1,3,2,6,5]=>[2,1,2,2,1]=>10110101=>6 [2,5,7,8,6,1,4,3]=>[7,4,2,1,3,8,5,6]=>[1,1,1,3,2]=>11110010=>3 [7,2,6,8,4,5,1,3]=>[2,7,3,1,5,4,8,6]=>[2,1,2,2,1]=>10110101=>6 [5,1,7,6,8,2,3,4]=>[4,8,2,3,1,7,6,5]=>[2,2,2,1,1]=>10101011=>6 [5,4,7,1,6,8,2,3]=>[4,5,2,8,3,1,7,6]=>[2,2,1,2,1]=>10101101=>6 [4,3,1,6,5,2,8,7]=>[5,6,8,3,4,7,1,2]=>[3,3,2]=>10010010=>5 [4,6,7,2,1,5,3,8]=>[5,3,2,7,8,4,6,1]=>[1,1,3,2,1]=>11100101=>4 [8,7,1,5,4,3,2,6]=>[1,2,8,4,5,6,7,3]=>[3,4,1]=>10010001=>4 [9,8,7,1,5,4,3,2,6]=>[1,2,3,9,5,6,7,8,4]=>[4,4,1]=>100010001=>4 [1,7,6,2,4,3,8,5]=>[8,2,3,7,5,6,1,4]=>[1,3,2,2]=>11001010=>5 [7,1,6,2,4,5,3,8]=>[2,8,3,7,5,4,6,1]=>[2,2,1,2,1]=>10101101=>6 [3,6,7,2,1,5,4,8]=>[6,3,2,7,8,4,5,1]=>[1,1,3,2,1]=>11100101=>4 [5,7,1,6,2,3,4,8]=>[4,2,8,3,7,6,5,1]=>[1,2,2,1,1,1]=>11010111=>4 [4,3,6,7,1,5,2,8]=>[5,6,3,2,8,4,7,1]=>[2,1,2,2,1]=>10110101=>6 [2,3,6,7,4,5,1,8]=>[7,6,3,2,5,4,8,1]=>[1,1,1,2,2,1]=>11110101=>4 [8,7,4,1,5,3,6,2]=>[1,2,5,8,4,6,3,7]=>[4,2,2]=>10001010=>5 [8,2,5,6,3,1,4,7]=>[1,7,4,3,6,8,5,2]=>[2,1,3,1,1]=>10110011=>4 [8,2,1,4,3,5,6,7]=>[1,7,8,5,6,4,3,2]=>[3,2,1,1,1]=>10010111=>4 [6,2,5,8,3,4,1,7]=>[3,7,4,1,6,5,8,2]=>[2,1,2,2,1]=>10110101=>6 [5,6,8,7,1,3,2,4]=>[4,3,1,2,8,6,7,5]=>[1,1,3,2,1]=>11100101=>4 [2,3,8,6,5,1,4,7]=>[7,6,1,3,4,8,5,2]=>[1,1,4,1,1]=>11100011=>2 [6,4,1,3,5,2,8,7]=>[3,5,8,6,4,7,1,2]=>[3,1,2,2]=>10011010=>5 [1,5,3,4,8,2,6,7]=>[8,4,6,5,1,7,3,2]=>[1,2,1,2,1,1]=>11011011=>4 [8,1,3,4,2,5,6,7]=>[1,8,6,5,7,4,3,2]=>[2,1,2,1,1,1]=>10110111=>4 [2,8,6,5,7,4,3,1]=>[7,1,3,4,2,5,6,8]=>[1,3,4]=>11001000=>3 [6,5,2,7,4,3,1,8]=>[3,4,7,2,5,6,8,1]=>[3,4,1]=>10010001=>4 [6,5,2,8,4,3,7,1]=>[3,4,7,1,5,6,2,8]=>[3,3,2]=>10010010=>5 [7,5,8,3,4,2,1,6]=>[2,4,1,6,5,7,8,3]=>[2,2,3,1]=>10101001=>6 [5,3,7,2,4,1,8,6]=>[4,6,2,7,5,8,1,3]=>[2,2,2,2]=>10101010=>7 [5,1,2,8,6,3,7,4]=>[4,8,7,1,3,6,2,5]=>[2,1,3,2]=>10110010=>5 [6,1,5,7,2,4,3,8]=>[3,8,4,2,7,5,6,1]=>[2,1,2,2,1]=>10110101=>6 [4,1,8,2,6,5,7,3]=>[5,8,1,7,3,4,2,6]=>[2,2,2,2]=>10101010=>7 [6,1,4,7,8,5,3,2]=>[3,8,5,2,1,4,6,7]=>[2,1,1,4]=>10111000=>3 [5,6,8,3,7,4,2,1]=>[4,3,1,6,2,5,7,8]=>[1,1,2,4]=>11101000=>3 [4,6,1,5,7,2,8,3]=>[5,3,8,4,2,7,1,6]=>[1,2,1,2,2]=>11011010=>5 [2,5,8,4,6,3,7,1]=>[7,4,1,5,3,6,2,8]=>[1,1,2,2,2]=>11101010=>5 [4,8,3,6,7,5,2,1]=>[5,1,6,3,2,4,7,8]=>[1,2,1,4]=>11011000=>3 [4,3,7,1,2,6,8,5]=>[5,6,2,8,7,3,1,4]=>[2,2,1,1,2]=>10101110=>5 [8,1,6,5,2,7,4,3]=>[1,8,3,4,7,2,5,6]=>[2,3,3]=>10100100=>5 [6,8,1,5,2,7,4,3]=>[3,1,8,4,7,2,5,6]=>[1,2,2,3]=>11010100=>5 [4,5,6,2,8,3,7,1]=>[5,4,3,7,1,6,2,8]=>[1,1,2,2,2]=>11101010=>5 [4,5,8,2,3,7,6,1]=>[5,4,1,7,6,2,3,8]=>[1,1,2,1,3]=>11101100=>3 [5,6,2,1,3,8,4,7]=>[4,3,7,8,6,1,5,2]=>[1,3,1,2,1]=>11001101=>4 [7,1,4,8,2,5,3,6]=>[2,8,5,1,7,4,6,3]=>[2,1,2,2,1]=>10110101=>6 [6,3,4,7,2,5,8,1]=>[3,6,5,2,7,4,1,8]=>[2,1,2,1,2]=>10110110=>5 [8,5,3,6,7,2,4,1]=>[1,4,6,3,2,7,5,8]=>[3,1,2,2]=>10011010=>5 [3,5,8,6,7,2,4,1]=>[6,4,1,3,2,7,5,8]=>[1,1,2,2,2]=>11101010=>5 [2,5,6,8,3,7,4,1]=>[7,4,3,1,6,2,5,8]=>[1,1,1,2,3]=>11110100=>3 [8,6,2,3,1,4,7,5]=>[1,3,7,6,8,5,2,4]=>[3,2,1,2]=>10010110=>5 [6,7,8,2,3,1,5,4]=>[3,2,1,7,6,8,4,5]=>[1,1,2,2,2]=>11101010=>5 [6,3,4,7,5,1,8,2]=>[3,6,5,2,4,8,1,7]=>[2,1,3,2]=>10110010=>5 [5,2,8,6,7,1,4,3]=>[4,7,1,3,2,8,5,6]=>[2,2,2,2]=>10101010=>7 [5,6,2,7,4,8,3,1]=>[4,3,7,2,5,1,6,8]=>[1,2,2,3]=>11010100=>5 [1,7,3,2,4,8,6,5]=>[8,2,6,7,5,1,3,4]=>[1,3,1,3]=>11001100=>3 [4,3,1,8,2,6,7,5]=>[5,6,8,1,7,3,2,4]=>[3,2,1,2]=>10010110=>5 [4,8,1,3,2,5,7,6]=>[5,1,8,6,7,4,2,3]=>[1,2,2,1,2]=>11010110=>5 [1,7,5,3,8,6,2,4]=>[8,2,4,6,1,3,7,5]=>[1,3,3,1]=>11001001=>4 [2,5,3,8,1,4,7,6]=>[7,4,6,1,8,5,2,3]=>[1,2,2,1,2]=>11010110=>5 [4,2,5,8,1,3,7,6]=>[5,7,4,1,8,6,2,3]=>[2,1,2,1,2]=>10110110=>5 [8,1,2,4,3,5,7,6]=>[1,8,7,5,6,4,2,3]=>[2,1,2,1,2]=>10110110=>5 [2,4,3,8,1,5,7,6]=>[7,5,6,1,8,4,2,3]=>[1,2,2,1,2]=>11010110=>5 [2,7,3,8,5,1,6,4]=>[7,2,6,1,4,8,3,5]=>[1,2,3,2]=>11010010=>5 [8,7,3,2,5,6,4,1]=>[1,2,6,7,4,3,5,8]=>[4,1,3]=>10001100=>3 [3,1,8,2,6,5,4,7]=>[6,8,1,7,3,4,5,2]=>[2,2,3,1]=>10101001=>6 [7,6,2,8,1,4,5,3]=>[2,3,7,1,8,5,4,6]=>[3,2,1,2]=>10010110=>5 [2,3,8,4,1,5,7,6]=>[7,6,1,5,8,4,2,3]=>[1,1,3,1,2]=>11100110=>3 [8,4,2,3,1,5,7,6]=>[1,5,7,6,8,4,2,3]=>[3,2,1,2]=>10010110=>5 [8,2,3,4,1,5,7,6]=>[1,7,6,5,8,4,2,3]=>[2,1,2,1,2]=>10110110=>5 [7,1,6,2,4,8,3,5]=>[2,8,3,7,5,1,6,4]=>[2,2,1,2,1]=>10101101=>6 [6,5,8,1,3,2,4,7]=>[3,4,1,8,6,7,5,2]=>[2,2,2,1,1]=>10101011=>6 [2,1,8,5,3,4,6,7]=>[7,8,1,4,6,5,3,2]=>[2,3,1,1,1]=>10100111=>4 [8,4,1,3,2,5,6,7]=>[1,5,8,6,7,4,3,2]=>[3,2,1,1,1]=>10010111=>4 [8,6,1,2,3,5,4,7]=>[1,3,8,7,6,4,5,2]=>[3,1,1,2,1]=>10011101=>4 [2,8,6,3,1,5,4,7]=>[7,1,3,6,8,4,5,2]=>[1,4,2,1]=>11000101=>4 [5,7,2,8,4,1,6,3]=>[4,2,7,1,5,8,3,6]=>[1,2,3,2]=>11010010=>5 [2,5,6,3,8,1,4,7]=>[7,4,3,6,1,8,5,2]=>[1,1,2,2,1,1]=>11101011=>4 [1,3,4,5,6,7,2,8,9]=>[9,7,6,5,4,3,8,2,1]=>[1,1,1,1,1,2,1,1]=>111111011=>2 [7,4,5,6,8,1,3,2]=>[2,5,4,3,1,8,6,7]=>[2,1,1,2,2]=>10111010=>5 [7,6,8,1,4,5,3,2]=>[2,3,1,8,5,4,6,7]=>[2,2,1,3]=>10101100=>5 [7,5,1,8,4,6,3,2]=>[2,4,8,1,5,3,6,7]=>[3,2,3]=>10010100=>5 [7,2,5,3,6,4,8,1]=>[2,7,4,6,3,5,1,8]=>[2,2,2,2]=>10101010=>7 [4,3,5,8,1,6,7,2]=>[5,6,4,1,8,3,2,7]=>[2,1,2,1,2]=>10110110=>5 [8,5,1,6,7,4,3,2]=>[1,4,8,3,2,5,6,7]=>[3,1,4]=>10011000=>3 [1,7,8,5,6,4,3,2]=>[8,2,1,4,3,5,6,7]=>[1,1,2,4]=>11101000=>3 [2,7,1,3,5,8,4,6]=>[7,2,8,6,4,1,5,3]=>[1,2,1,1,2,1]=>11011101=>4 [2,1,8,6,4,5,3,7]=>[7,8,1,3,5,4,6,2]=>[2,3,2,1]=>10100101=>6 [2,8,1,7,4,5,3,6]=>[7,1,8,2,5,4,6,3]=>[1,2,2,2,1]=>11010101=>6 [2,7,8,6,5,1,4,3]=>[7,2,1,3,4,8,5,6]=>[1,1,4,2]=>11100010=>3 [7,5,4,6,8,1,3,2]=>[2,4,5,3,1,8,6,7]=>[3,1,2,2]=>10011010=>5 [2,4,5,8,6,1,7,3]=>[7,5,4,1,3,8,2,6]=>[1,1,1,3,2]=>11110010=>3 [1,2,6,4,8,5,3,7]=>[8,7,3,5,1,4,6,2]=>[1,1,2,3,1]=>11101001=>4 [6,8,1,5,7,4,3,2]=>[3,1,8,4,2,5,6,7]=>[1,2,1,4]=>11011000=>3 [8,6,1,5,7,4,3,2]=>[1,3,8,4,2,5,6,7]=>[3,1,4]=>10011000=>3 [5,7,8,1,6,4,3,2]=>[4,2,1,8,3,5,6,7]=>[1,1,2,4]=>11101000=>3 [7,1,2,4,8,5,3,6]=>[2,8,7,5,1,4,6,3]=>[2,1,1,3,1]=>10111001=>4 [1,8,5,6,4,3,7,2]=>[8,1,4,3,5,6,2,7]=>[1,2,3,2]=>11010010=>5 [2,6,8,4,5,1,7,3]=>[7,3,1,5,4,8,2,6]=>[1,1,2,2,2]=>11101010=>5 [4,6,5,7,8,1,3,2]=>[5,3,4,2,1,8,6,7]=>[1,2,1,2,2]=>11011010=>5 [2,5,8,6,4,7,1,3]=>[7,4,1,3,5,2,8,6]=>[1,1,3,2,1]=>11100101=>4 [5,8,1,7,2,3,6,4]=>[4,1,8,2,7,6,3,5]=>[1,2,2,1,2]=>11010110=>5 [5,3,6,4,2,1,8,7]=>[4,6,3,5,7,8,1,2]=>[2,4,2]=>10100010=>5 [3,7,4,5,8,2,6,1]=>[6,2,5,4,1,7,3,8]=>[1,2,1,2,2]=>11011010=>5 [6,5,7,4,1,8,3,2]=>[3,4,2,5,8,1,6,7]=>[2,3,3]=>10100100=>5 [6,1,7,4,5,2,8,3]=>[3,8,2,5,4,7,1,6]=>[2,2,2,2]=>10101010=>7 [5,3,2,1,7,8,4,6]=>[4,6,7,8,2,1,5,3]=>[4,1,2,1]=>10001101=>4 [4,1,5,7,8,3,6,2]=>[5,8,4,2,1,6,3,7]=>[2,1,1,2,2]=>10111010=>5 [8,3,6,7,1,4,5,2]=>[1,6,3,2,8,5,4,7]=>[2,1,2,1,2]=>10110110=>5 [7,8,3,5,2,1,4,6]=>[2,1,6,4,7,8,5,3]=>[1,2,3,1,1]=>11010011=>4 [8,6,5,7,1,3,4,2]=>[1,3,4,2,8,6,5,7]=>[3,2,1,2]=>10010110=>5 [5,3,8,6,4,2,7,1]=>[4,6,1,3,5,7,2,8]=>[2,4,2]=>10100010=>5 [8,4,1,3,6,7,2,5]=>[1,5,8,6,3,2,7,4]=>[3,1,1,2,1]=>10011101=>4 [1,6,5,3,8,4,7,2]=>[8,3,4,6,1,5,2,7]=>[1,3,2,2]=>11001010=>5 [7,6,2,3,5,1,4,8]=>[2,3,7,6,4,8,5,1]=>[3,1,2,1,1]=>10011011=>4 [5,1,3,4,8,7,2,6]=>[4,8,6,5,1,2,7,3]=>[2,1,1,3,1]=>10111001=>4 [1,5,3,4,8,7,2,6]=>[8,4,6,5,1,2,7,3]=>[1,2,1,3,1]=>11011001=>4 [5,3,8,1,4,7,6,2]=>[4,6,1,8,5,2,3,7]=>[2,2,1,3]=>10101100=>5 [4,3,5,8,1,7,6,2]=>[5,6,4,1,8,2,3,7]=>[2,1,2,3]=>10110100=>5 [3,6,5,4,8,2,7,1]=>[6,3,4,5,1,7,2,8]=>[1,3,2,2]=>11001010=>5 [3,5,2,4,8,7,6,1]=>[6,4,7,5,1,2,3,8]=>[1,2,1,4]=>11011000=>3 [2,4,6,1,5,7,8,3]=>[7,5,3,8,4,2,1,6]=>[1,1,2,1,1,2]=>11101110=>3 [2,6,3,1,5,7,8,4]=>[7,3,6,8,4,2,1,5]=>[1,3,1,1,2]=>11001110=>3 [2,5,3,6,4,1,8,7]=>[7,4,6,3,5,8,1,2]=>[1,2,3,2]=>11010010=>5 [4,6,2,5,1,7,8,3]=>[5,3,7,4,8,2,1,6]=>[1,2,2,1,2]=>11010110=>5 [6,2,5,3,1,7,8,4]=>[3,7,4,6,8,2,1,5]=>[2,3,1,2]=>10100110=>5 [2,6,3,1,7,5,8,4]=>[7,3,6,8,2,4,1,5]=>[1,3,2,2]=>11001010=>5 [2,3,5,1,7,6,4,8]=>[7,6,4,8,2,3,5,1]=>[1,1,2,3,1]=>11101001=>4 [2,3,1,7,4,8,6,5]=>[7,6,8,2,5,1,3,4]=>[1,2,2,3]=>11010100=>5 [5,2,3,1,8,6,4,7]=>[4,7,6,8,1,3,5,2]=>[2,2,3,1]=>10101001=>6 [2,3,6,4,1,5,7,8]=>[7,6,3,5,8,4,2,1]=>[1,1,3,1,1,1]=>11100111=>2 [4,7,5,1,3,2,8,6]=>[5,2,4,8,6,7,1,3]=>[1,3,2,2]=>11001010=>5 [2,8,6,3,7,4,1,5]=>[7,1,3,6,2,5,8,4]=>[1,3,3,1]=>11001001=>4 [2,3,8,7,6,4,1,5]=>[7,6,1,2,3,5,8,4]=>[1,1,5,1]=>11100001=>2 [2,3,7,6,4,1,5,8]=>[7,6,2,3,5,8,4,1]=>[1,1,4,1,1]=>11100011=>2 [2,7,6,3,8,4,1,5]=>[7,2,3,6,1,5,8,4]=>[1,3,3,1]=>11001001=>4 [2,7,8,3,1,6,5,4]=>[7,2,1,6,8,3,4,5]=>[1,1,3,3]=>11100100=>3 [7,2,3,1,6,5,4,8]=>[2,7,6,8,3,4,5,1]=>[2,2,3,1]=>10101001=>6 [7,5,2,3,1,6,4,8]=>[2,4,7,6,8,3,5,1]=>[3,2,2,1]=>10010101=>6 [6,1,3,5,2,7,8,4]=>[3,8,6,4,7,2,1,5]=>[2,1,2,1,2]=>10110110=>5 [1,8,3,5,4,6,2,7]=>[8,1,6,4,5,3,7,2]=>[1,2,2,2,1]=>11010101=>6 [2,3,1,6,4,8,7,5]=>[7,6,8,3,5,1,2,4]=>[1,2,2,3]=>11010100=>5 [1,8,3,6,4,2,7,5]=>[8,1,6,3,5,7,2,4]=>[1,2,3,2]=>11010010=>5 [2,3,1,7,5,4,6,8]=>[7,6,8,2,4,5,3,1]=>[1,2,3,1,1]=>11010011=>4 [2,3,7,4,1,5,6,8]=>[7,6,2,5,8,4,3,1]=>[1,1,3,1,1,1]=>11100111=>2 [2,7,3,8,4,1,5,6]=>[7,2,6,1,5,8,4,3]=>[1,2,3,1,1]=>11010011=>4 [8,2,3,1,4,7,6,5]=>[1,7,6,8,5,2,3,4]=>[2,2,1,3]=>10101100=>5 [8,5,2,3,1,4,7,6]=>[1,4,7,6,8,5,2,3]=>[3,2,1,2]=>10010110=>5 [5,3,1,4,2,6,8,7]=>[4,6,8,5,7,3,1,2]=>[3,2,1,2]=>10010110=>5 [8,2,1,6,3,5,4,7]=>[1,7,8,3,6,4,5,2]=>[3,2,2,1]=>10010101=>6 [8,2,1,7,3,6,4,5]=>[1,7,8,2,6,3,5,4]=>[3,2,2,1]=>10010101=>6 [8,1,6,4,3,2,5,7]=>[1,8,3,5,6,7,4,2]=>[2,4,1,1]=>10100011=>4 [8,1,7,3,2,5,4,6]=>[1,8,2,6,7,4,5,3]=>[2,3,2,1]=>10100101=>6 [8,1,6,2,5,4,3,7]=>[1,8,3,7,4,5,6,2]=>[2,2,3,1]=>10101001=>6 [7,8,5,2,6,4,3,1]=>[2,1,4,7,3,5,6,8]=>[1,3,4]=>11001000=>3 [4,2,7,5,1,3,6,8]=>[5,7,2,4,8,6,3,1]=>[2,3,1,1,1]=>10100111=>4 [4,2,8,1,3,6,7,5]=>[5,7,1,8,6,3,2,4]=>[2,2,1,1,2]=>10101110=>5 [7,1,3,6,4,2,5,8]=>[2,8,6,3,5,7,4,1]=>[2,1,3,1,1]=>10110011=>4 [8,1,2,5,7,4,6,3]=>[1,8,7,4,2,5,3,6]=>[2,1,1,2,2]=>10111010=>5 [1,7,4,6,3,5,8,2]=>[8,2,5,3,6,4,1,7]=>[1,2,2,1,2]=>11010110=>5 [7,1,3,6,2,5,8,4]=>[2,8,6,3,7,4,1,5]=>[2,1,2,1,2]=>10110110=>5 [5,2,7,1,4,8,3,6]=>[4,7,2,8,5,1,6,3]=>[2,2,1,2,1]=>10101101=>6 [5,2,7,3,6,1,4,8]=>[4,7,2,6,3,8,5,1]=>[2,2,2,1,1]=>10101011=>6 [7,4,6,3,1,2,5,8]=>[2,5,3,6,8,7,4,1]=>[2,3,1,1,1]=>10100111=>4 [6,4,1,3,7,2,5,8]=>[3,5,8,6,2,7,4,1]=>[3,1,2,1,1]=>10011011=>4 [6,4,1,3,8,2,5,7]=>[3,5,8,6,1,7,4,2]=>[3,1,2,1,1]=>10011011=>4 [7,4,6,1,2,5,8,3]=>[2,5,3,8,7,4,1,6]=>[2,2,1,1,2]=>10101110=>5 [6,1,3,8,2,5,7,4]=>[3,8,6,1,7,4,2,5]=>[2,1,2,1,2]=>10110110=>5 [7,2,5,3,6,1,4,8]=>[2,7,4,6,3,8,5,1]=>[2,2,2,1,1]=>10101011=>6 [8,2,5,3,6,1,4,7]=>[1,7,4,6,3,8,5,2]=>[2,2,2,1,1]=>10101011=>6 [6,4,7,1,2,5,8,3]=>[3,5,2,8,7,4,1,6]=>[2,2,1,1,2]=>10101110=>5 [6,4,8,1,2,5,7,3]=>[3,5,1,8,7,4,2,6]=>[2,2,1,1,2]=>10101110=>5 [5,7,3,1,6,2,4,8]=>[4,2,6,8,3,7,5,1]=>[1,3,2,1,1]=>11001011=>4 [4,7,8,3,6,5,1,2]=>[5,2,1,6,3,4,8,7]=>[1,1,2,3,1]=>11101001=>4 [5,2,4,8,3,7,1,6]=>[4,7,5,1,6,2,8,3]=>[2,1,2,2,1]=>10110101=>6 [3,5,8,4,7,1,2,6]=>[6,4,1,5,2,8,7,3]=>[1,1,2,2,1,1]=>11101011=>4 [4,6,7,8,3,2,5,1]=>[5,3,2,1,6,7,4,8]=>[1,1,1,3,2]=>11110010=>3 [3,7,5,1,4,6,2,8]=>[6,2,4,8,5,3,7,1]=>[1,3,1,2,1]=>11001101=>4 [8,7,5,6,2,4,3,1]=>[1,2,4,3,7,5,6,8]=>[3,2,3]=>10010100=>5 [7,8,5,2,3,1,6,4]=>[2,1,4,7,6,8,3,5]=>[1,3,2,2]=>11001010=>5 [5,2,7,3,1,4,8,6]=>[4,7,2,6,8,5,1,3]=>[2,3,1,2]=>10100110=>5 [8,7,4,1,3,6,2,5]=>[1,2,5,8,6,3,7,4]=>[4,1,2,1]=>10001101=>4 [8,2,5,3,7,6,1,4]=>[1,7,4,6,2,3,8,5]=>[2,2,3,1]=>10101001=>6 [8,6,4,7,5,1,3,2]=>[1,3,5,2,4,8,6,7]=>[3,3,2]=>10010010=>5 [6,1,2,4,7,8,3,5]=>[3,8,7,5,2,1,6,4]=>[2,1,1,1,2,1]=>10111101=>4 [2,4,6,5,7,1,8,3]=>[7,5,3,4,2,8,1,6]=>[1,1,2,2,2]=>11101010=>5 [4,6,7,5,2,3,8,1]=>[5,3,2,4,7,6,1,8]=>[1,1,3,1,2]=>11100110=>3 [2,6,7,4,5,3,8,1]=>[7,3,2,5,4,6,1,8]=>[1,1,2,2,2]=>11101010=>5 [2,6,4,7,5,8,3,1]=>[7,3,5,2,4,1,6,8]=>[1,2,2,3]=>11010100=>5 [4,6,2,7,5,3,8,1]=>[5,3,7,2,4,6,1,8]=>[1,2,3,2]=>11010010=>5 [6,7,4,2,5,3,8,1]=>[3,2,5,7,4,6,1,8]=>[1,3,2,2]=>11001010=>5 [4,2,6,7,8,5,3,1]=>[5,7,3,2,1,4,6,8]=>[2,1,1,4]=>10111000=>3 [6,2,7,4,5,8,3,1]=>[3,7,2,5,4,1,6,8]=>[2,2,1,3]=>10101100=>5 [6,2,4,7,8,5,3,1]=>[3,7,5,2,1,4,6,8]=>[2,1,1,4]=>10111000=>3 [6,7,4,5,2,8,3,1]=>[3,2,5,4,7,1,6,8]=>[1,2,2,3]=>11010100=>5 [1,5,3,6,4,8,2,7]=>[8,4,6,3,5,1,7,2]=>[1,2,2,2,1]=>11010101=>6 [3,5,2,1,7,8,6,4]=>[6,4,7,8,2,1,3,5]=>[1,3,1,3]=>11001100=>3 [3,4,1,8,7,5,6,2]=>[6,5,8,1,2,4,3,7]=>[1,2,3,2]=>11010010=>5 [4,2,7,8,6,5,1,3]=>[5,7,2,1,3,4,8,6]=>[2,1,4,1]=>10110001=>4 [1,2,7,8,6,4,5,3]=>[8,7,2,1,3,5,4,6]=>[1,1,1,3,2]=>11110010=>3 [3,1,8,6,5,2,4,7]=>[6,8,1,3,4,7,5,2]=>[2,4,1,1]=>10100011=>4 [4,8,1,2,6,5,3,7]=>[5,1,8,7,3,4,6,2]=>[1,2,1,3,1]=>11011001=>4 [6,8,5,1,2,4,3,7]=>[3,1,4,8,7,5,6,2]=>[1,3,1,2,1]=>11001101=>4 [4,7,1,6,2,8,3,5]=>[5,2,8,3,7,1,6,4]=>[1,2,2,2,1]=>11010101=>6 [8,1,5,2,3,6,7,4]=>[1,8,4,7,6,3,2,5]=>[2,2,1,1,2]=>10101110=>5 [8,6,7,1,3,2,4,5]=>[1,3,2,8,6,7,5,4]=>[2,2,2,1,1]=>10101011=>6 [7,1,6,3,2,4,8,5]=>[2,8,3,6,7,5,1,4]=>[2,3,1,2]=>10100110=>5 [7,5,1,2,3,6,8,4]=>[2,4,8,7,6,3,1,5]=>[3,1,1,1,2]=>10011110=>3 [8,2,1,5,3,4,7,6]=>[1,7,8,4,6,5,2,3]=>[3,2,1,2]=>10010110=>5 [6,2,8,7,1,3,4,5]=>[3,7,1,2,8,6,5,4]=>[2,3,1,1,1]=>10100111=>4 [6,4,8,1,2,3,7,5]=>[3,5,1,8,7,6,2,4]=>[2,2,1,1,2]=>10101110=>5 [8,6,7,1,2,3,5,4]=>[1,3,2,8,7,6,4,5]=>[2,2,1,1,2]=>10101110=>5 [6,7,1,2,3,8,5,4]=>[3,2,8,7,6,1,4,5]=>[1,2,1,1,3]=>11011100=>3 [7,8,5,1,2,3,6,4]=>[2,1,4,8,7,6,3,5]=>[1,3,1,1,2]=>11001110=>3 [8,1,7,5,2,3,6,4]=>[1,8,2,4,7,6,3,5]=>[2,3,1,2]=>10100110=>5 [5,4,6,1,8,3,7,2]=>[4,5,3,8,1,6,2,7]=>[2,2,2,2]=>10101010=>7 [7,4,1,3,6,8,5,2]=>[2,5,8,6,3,1,4,7]=>[3,1,1,3]=>10011100=>3 [7,1,8,3,2,6,5,4]=>[2,8,1,6,7,3,4,5]=>[2,3,3]=>10100100=>5 [1,2,4,8,3,7,5,6]=>[8,7,5,1,6,2,4,3]=>[1,1,1,2,2,1]=>11110101=>4 [7,3,4,2,5,1,8,6]=>[2,6,5,7,4,8,1,3]=>[2,2,2,2]=>10101010=>7 [7,2,5,1,6,4,3,8]=>[2,7,4,8,3,5,6,1]=>[2,2,3,1]=>10101001=>6 [5,2,7,1,4,6,3,8]=>[4,7,2,8,5,3,6,1]=>[2,2,1,2,1]=>10101101=>6 [6,2,1,4,5,8,7,3]=>[3,7,8,5,4,1,2,6]=>[3,1,1,3]=>10011100=>3 [6,3,8,5,7,1,4,2]=>[3,6,1,4,2,8,5,7]=>[2,2,2,2]=>10101010=>7 [2,8,3,1,4,6,5,7]=>[7,1,6,8,5,3,4,2]=>[1,3,1,2,1]=>11001101=>4 [5,6,7,3,1,4,2,8]=>[4,3,2,6,8,5,7,1]=>[1,1,3,2,1]=>11100101=>4 [4,5,7,6,1,3,8,2]=>[5,4,2,3,8,6,1,7]=>[1,1,3,1,2]=>11100110=>3 [4,6,7,5,1,3,2,8]=>[5,3,2,4,8,6,7,1]=>[1,1,3,2,1]=>11100101=>4 [6,5,8,1,4,7,3,2]=>[3,4,1,8,5,2,6,7]=>[2,2,1,3]=>10101100=>5 [5,8,7,2,3,1,4,6]=>[4,1,2,7,6,8,5,3]=>[1,3,2,1,1]=>11001011=>4 [4,7,8,1,5,3,6,2]=>[5,2,1,8,4,6,3,7]=>[1,1,2,2,2]=>11101010=>5 [4,3,1,7,6,5,2,8]=>[5,6,8,2,3,4,7,1]=>[3,4,1]=>10010001=>4 [3,6,5,2,7,4,1,8]=>[6,3,4,7,2,5,8,1]=>[1,3,3,1]=>11001001=>4 [7,4,3,6,8,2,1,5]=>[2,5,6,3,1,7,8,4]=>[3,1,3,1]=>10011001=>4 [3,8,5,4,7,6,1,2]=>[6,1,4,5,2,3,8,7]=>[1,3,3,1]=>11001001=>4 [1,4,6,8,7,3,5,2]=>[8,5,3,1,2,6,4,7]=>[1,1,1,3,2]=>11110010=>3 [4,6,5,1,3,8,7,2]=>[5,3,4,8,6,1,2,7]=>[1,3,1,3]=>11001100=>3 [5,4,6,2,1,8,7,3]=>[4,5,3,7,8,1,2,6]=>[2,3,3]=>10100100=>5 [3,2,8,5,1,4,6,7]=>[6,7,1,4,8,5,3,2]=>[2,3,1,1,1]=>10100111=>4 [3,5,4,1,2,8,6,7]=>[6,4,5,8,7,1,3,2]=>[1,3,1,2,1]=>11001101=>4 [5,3,8,1,4,2,6,7]=>[4,6,1,8,5,7,3,2]=>[2,2,2,1,1]=>10101011=>6 [5,3,8,1,4,2,7,6]=>[4,6,1,8,5,7,2,3]=>[2,2,2,2]=>10101010=>7 [1,4,7,5,8,6,2,3]=>[8,5,2,4,1,3,7,6]=>[1,1,2,3,1]=>11101001=>4 [8,5,7,6,3,4,1,2]=>[1,4,2,3,6,5,8,7]=>[2,3,2,1]=>10100101=>6 [7,5,2,6,1,4,8,3]=>[2,4,7,3,8,5,1,6]=>[3,2,1,2]=>10010110=>5 [2,4,5,1,8,3,7,6]=>[7,5,4,8,1,6,2,3]=>[1,1,2,2,2]=>11101010=>5 [7,2,8,5,3,4,1,6]=>[2,7,1,4,6,5,8,3]=>[2,3,2,1]=>10100101=>6 [6,4,5,3,1,7,8,2]=>[3,5,4,6,8,2,1,7]=>[2,3,1,2]=>10100110=>5 [7,3,5,6,4,1,8,2]=>[2,6,4,3,5,8,1,7]=>[2,1,3,2]=>10110010=>5 [3,1,8,5,6,7,4,2]=>[6,8,1,4,3,2,5,7]=>[2,2,1,3]=>10101100=>5 [5,1,7,6,2,3,4,8]=>[4,8,2,3,7,6,5,1]=>[2,3,1,1,1]=>10100111=>4 [5,2,7,6,4,1,8,3]=>[4,7,2,3,5,8,1,6]=>[2,4,2]=>10100010=>5 [3,6,5,7,8,4,1,2]=>[6,3,4,2,1,5,8,7]=>[1,2,1,3,1]=>11011001=>4 [6,4,3,1,8,5,7,2]=>[3,5,6,8,1,4,2,7]=>[4,2,2]=>10001010=>5 [2,4,3,5,8,1,7,6]=>[7,5,6,4,1,8,2,3]=>[1,2,1,2,2]=>11011010=>5 [3,2,7,6,1,5,8,4]=>[6,7,2,3,8,4,1,5]=>[2,3,1,2]=>10100110=>5 [2,4,7,6,8,1,5,3]=>[7,5,2,3,1,8,4,6]=>[1,1,2,2,2]=>11101010=>5 [2,1,7,6,4,5,3,8]=>[7,8,2,3,5,4,6,1]=>[2,3,2,1]=>10100101=>6 [1,4,7,6,8,5,2,3]=>[8,5,2,3,1,4,7,6]=>[1,1,2,3,1]=>11101001=>4 [2,5,6,3,4,1,8,7]=>[7,4,3,6,5,8,1,2]=>[1,1,2,2,2]=>11101010=>5 [4,6,2,1,5,8,3,7]=>[5,3,7,8,4,1,6,2]=>[1,3,1,2,1]=>11001101=>4 [4,6,7,2,3,8,5,1]=>[5,3,2,7,6,1,4,8]=>[1,1,2,1,3]=>11101100=>3 [2,3,6,8,7,1,5,4]=>[7,6,3,1,2,8,4,5]=>[1,1,1,3,2]=>11110010=>3 [2,3,5,8,7,4,1,6]=>[7,6,4,1,2,5,8,3]=>[1,1,1,4,1]=>11110001=>2 [2,3,5,8,7,4,6,1]=>[7,6,4,1,2,5,3,8]=>[1,1,1,3,2]=>11110010=>3 [2,3,7,8,6,4,1,5]=>[7,6,2,1,3,5,8,4]=>[1,1,1,4,1]=>11110001=>2 [5,6,4,1,8,3,7,2]=>[4,3,5,8,1,6,2,7]=>[1,3,2,2]=>11001010=>5 [5,7,4,1,8,6,2,3]=>[4,2,5,8,1,3,7,6]=>[1,3,3,1]=>11001001=>4 [4,5,3,7,8,1,2,6]=>[5,4,6,2,1,8,7,3]=>[1,2,1,2,1,1]=>11011011=>4 [2,3,5,8,1,7,4,6]=>[7,6,4,1,8,2,5,3]=>[1,1,1,2,2,1]=>11110101=>4 [5,4,2,7,8,3,1,6]=>[4,5,7,2,1,6,8,3]=>[3,1,3,1]=>10011001=>4 [2,3,5,8,1,6,4,7]=>[7,6,4,1,8,3,5,2]=>[1,1,1,2,2,1]=>11110101=>4 [1,5,8,7,3,6,4,2]=>[8,4,1,2,6,3,5,7]=>[1,1,3,3]=>11100100=>3 [6,2,5,4,7,1,3,8]=>[3,7,4,5,2,8,6,1]=>[2,2,2,1,1]=>10101011=>6 [8,6,1,5,7,4,2,3]=>[1,3,8,4,2,5,7,6]=>[3,1,3,1]=>10011001=>4 [1,8,4,5,7,3,6,2]=>[8,1,5,4,2,6,3,7]=>[1,2,1,2,2]=>11011010=>5 [1,6,4,5,8,7,2,3]=>[8,3,5,4,1,2,7,6]=>[1,2,1,3,1]=>11011001=>4 [1,7,4,5,8,3,6,2]=>[8,2,5,4,1,6,3,7]=>[1,2,1,2,2]=>11011010=>5 [8,6,1,5,4,2,7,3]=>[1,3,8,4,5,7,2,6]=>[3,3,2]=>10010010=>5 [7,3,6,1,8,5,2,4]=>[2,6,3,8,1,4,7,5]=>[2,2,3,1]=>10101001=>6 [2,3,6,8,7,4,1,5]=>[7,6,3,1,2,5,8,4]=>[1,1,1,4,1]=>11110001=>2 [2,5,8,1,3,6,7,4]=>[7,4,1,8,6,3,2,5]=>[1,1,2,1,1,2]=>11101110=>3 [4,8,2,6,1,5,7,3]=>[5,1,7,3,8,4,2,6]=>[1,2,2,1,2]=>11010110=>5 [6,3,2,7,4,1,5,8]=>[3,6,7,2,5,8,4,1]=>[3,3,1,1]=>10010011=>4 [2,5,3,1,4,7,6,8]=>[7,4,6,8,5,2,3,1]=>[1,3,1,2,1]=>11001101=>4 [2,5,7,8,3,4,1,6]=>[7,4,2,1,6,5,8,3]=>[1,1,1,2,2,1]=>11110101=>4 [2,3,7,4,1,5,8,6]=>[7,6,2,5,8,4,1,3]=>[1,1,3,1,2]=>11100110=>3 [2,3,7,8,1,5,4,6]=>[7,6,2,1,8,4,5,3]=>[1,1,1,2,2,1]=>11110101=>4 [2,5,8,1,3,7,4,6]=>[7,4,1,8,6,2,5,3]=>[1,1,2,1,2,1]=>11101101=>4 [2,5,3,1,4,6,8,7]=>[7,4,6,8,5,3,1,2]=>[1,3,1,1,2]=>11001110=>3 [2,8,5,6,3,4,1,7]=>[7,1,4,3,6,5,8,2]=>[1,2,2,2,1]=>11010101=>6 [7,4,2,8,3,5,6,1]=>[2,5,7,1,6,4,3,8]=>[3,2,1,2]=>10010110=>5 [4,2,8,6,3,5,1,7]=>[5,7,1,3,6,4,8,2]=>[2,3,2,1]=>10100101=>6 [7,8,4,1,2,5,6,3]=>[2,1,5,8,7,4,3,6]=>[1,3,1,1,2]=>11001110=>3 [3,8,6,1,4,5,2,7]=>[6,1,3,8,5,4,7,2]=>[1,3,1,2,1]=>11001101=>4 [6,7,3,8,1,4,5,2]=>[3,2,6,1,8,5,4,7]=>[1,2,2,1,2]=>11010110=>5 [6,7,8,4,1,2,5,3]=>[3,2,1,5,8,7,4,6]=>[1,1,3,1,2]=>11100110=>3 [2,6,8,4,3,1,5,7]=>[7,3,1,5,6,8,4,2]=>[1,1,4,1,1]=>11100011=>2 [8,4,5,1,6,3,2,7]=>[1,5,4,8,3,6,7,2]=>[2,2,3,1]=>10101001=>6 [2,5,3,1,6,8,4,7]=>[7,4,6,8,3,1,5,2]=>[1,3,1,2,1]=>11001101=>4 [3,7,8,5,1,4,6,2]=>[6,2,1,4,8,5,3,7]=>[1,1,3,1,2]=>11100110=>3 [2,5,6,7,1,8,4,3]=>[7,4,3,2,8,1,5,6]=>[1,1,1,2,3]=>11110100=>3 [8,5,3,6,4,2,1,7]=>[1,4,6,3,5,7,8,2]=>[3,4,1]=>10010001=>4 [2,3,7,4,8,5,6,1]=>[7,6,2,5,1,4,3,8]=>[1,1,2,2,2]=>11101010=>5 [2,3,7,8,5,4,6,1]=>[7,6,2,1,4,5,3,8]=>[1,1,1,3,2]=>11110010=>3 [4,8,6,1,2,5,3,7]=>[5,1,3,8,7,4,6,2]=>[1,3,1,2,1]=>11001101=>4 [3,4,8,6,1,5,2,7]=>[6,5,1,3,8,4,7,2]=>[1,1,3,2,1]=>11100101=>4 [7,5,8,1,2,3,6,4]=>[2,4,1,8,7,6,3,5]=>[2,2,1,1,2]=>10101110=>5 [1,2,8,7,4,6,5,3]=>[8,7,1,2,5,3,4,6]=>[1,1,3,3]=>11100100=>3 [5,1,4,8,7,3,6,2]=>[4,8,5,1,2,6,3,7]=>[2,1,3,2]=>10110010=>5 [4,3,1,8,7,5,6,2]=>[5,6,8,1,2,4,3,7]=>[3,3,2]=>10010010=>5 [4,3,2,7,6,1,5,8]=>[5,6,7,2,3,8,4,1]=>[3,3,1,1]=>10010011=>4 [1,3,7,6,2,4,8,5]=>[8,6,2,3,7,5,1,4]=>[1,1,3,1,2]=>11100110=>3 [1,3,8,2,7,4,6,5]=>[8,6,1,7,2,5,3,4]=>[1,1,2,2,2]=>11101010=>5 [8,2,7,1,6,4,3,5]=>[1,7,2,8,3,5,6,4]=>[2,2,3,1]=>10101001=>6 [7,5,4,1,6,3,8,2]=>[2,4,5,8,3,6,1,7]=>[4,2,2]=>10001010=>5 [1,6,5,3,2,4,8,7]=>[8,3,4,6,7,5,1,2]=>[1,4,1,2]=>11000110=>3 [4,3,7,2,5,1,6,8]=>[5,6,2,7,4,8,3,1]=>[2,2,2,1,1]=>10101011=>6 [5,1,4,3,2,6,8,7]=>[4,8,5,6,7,3,1,2]=>[2,3,1,2]=>10100110=>5 [7,2,1,3,5,4,6,8]=>[2,7,8,6,4,5,3,1]=>[3,1,2,1,1]=>10011011=>4 [8,5,4,6,2,7,3,1]=>[1,4,5,3,7,2,6,8]=>[3,2,3]=>10010100=>5 [3,8,1,4,5,2,7,6]=>[6,1,8,5,4,7,2,3]=>[1,2,1,2,2]=>11011010=>5 [5,3,1,7,6,4,8,2]=>[4,6,8,2,3,5,1,7]=>[3,3,2]=>10010010=>5 [1,6,8,7,5,2,3,4]=>[8,3,1,2,4,7,6,5]=>[1,1,4,1,1]=>11100011=>2 [2,5,3,4,8,7,1,6]=>[7,4,6,5,1,2,8,3]=>[1,2,1,3,1]=>11011001=>4 [6,5,4,8,2,3,7,1]=>[3,4,5,1,7,6,2,8]=>[3,2,1,2]=>10010110=>5 [1,6,3,7,8,4,5,2]=>[8,3,6,2,1,5,4,7]=>[1,2,1,2,2]=>11011010=>5 [4,3,6,1,8,5,2,7]=>[5,6,3,8,1,4,7,2]=>[2,2,3,1]=>10101001=>6 [1,4,8,7,3,6,2,5]=>[8,5,1,2,6,3,7,4]=>[1,1,3,2,1]=>11100101=>4 [1,4,8,6,2,5,3,7]=>[8,5,1,3,7,4,6,2]=>[1,1,3,2,1]=>11100101=>4 [4,5,7,6,3,1,8,2]=>[5,4,2,3,6,8,1,7]=>[1,1,4,2]=>11100010=>3 [4,6,7,5,1,3,8,2]=>[5,3,2,4,8,6,1,7]=>[1,1,3,1,2]=>11100110=>3 [3,6,5,1,4,7,8,2]=>[6,3,4,8,5,2,1,7]=>[1,3,1,1,2]=>11001110=>3 [4,6,7,3,1,5,8,2]=>[5,3,2,6,8,4,1,7]=>[1,1,3,1,2]=>11100110=>3 [5,4,1,8,7,3,6,2]=>[4,5,8,1,2,6,3,7]=>[3,3,2]=>10010010=>5 [2,5,8,1,6,7,4,3]=>[7,4,1,8,3,2,5,6]=>[1,1,2,1,3]=>11101100=>3 [8,3,2,5,4,6,1,7]=>[1,6,7,4,5,3,8,2]=>[3,2,2,1]=>10010101=>6 [6,2,4,7,5,3,1,8]=>[3,7,5,2,4,6,8,1]=>[2,1,4,1]=>10110001=>4 [6,2,5,1,8,7,3,4]=>[3,7,4,8,1,2,6,5]=>[2,2,3,1]=>10101001=>6 [3,2,6,1,5,8,7,4]=>[6,7,3,8,4,1,2,5]=>[2,2,1,3]=>10101100=>5 [5,1,8,7,6,4,2,3]=>[4,8,1,2,3,5,7,6]=>[2,5,1]=>10100001=>4 [7,1,4,5,3,8,2,6]=>[2,8,5,4,6,1,7,3]=>[2,1,2,2,1]=>10110101=>6 [6,5,4,2,3,8,1,7]=>[3,4,5,7,6,1,8,2]=>[4,1,2,1]=>10001101=>4 [6,1,4,8,3,7,2,5]=>[3,8,5,1,6,2,7,4]=>[2,1,2,2,1]=>10110101=>6 [4,5,3,8,6,2,1,7]=>[5,4,6,1,3,7,8,2]=>[1,2,4,1]=>11010001=>4 [3,6,4,2,8,5,1,7]=>[6,3,5,7,1,4,8,2]=>[1,3,3,1]=>11001001=>4 [2,6,5,3,1,8,4,7]=>[7,3,4,6,8,1,5,2]=>[1,4,2,1]=>11000101=>4 [4,2,3,6,7,5,1,8]=>[5,7,6,3,2,4,8,1]=>[2,1,1,3,1]=>10111001=>4 [6,2,3,5,7,4,1,8]=>[3,7,6,4,2,5,8,1]=>[2,1,1,3,1]=>10111001=>4 [7,2,4,6,3,5,1,8]=>[2,7,5,3,6,4,8,1]=>[2,1,2,2,1]=>10110101=>6 [1,5,3,8,6,2,4,7]=>[8,4,6,1,3,7,5,2]=>[1,2,3,1,1]=>11010011=>4 [8,1,2,4,7,5,3,6]=>[1,8,7,5,2,4,6,3]=>[2,1,1,3,1]=>10111001=>4 [8,5,1,2,4,7,3,6]=>[1,4,8,7,5,2,6,3]=>[3,1,1,2,1]=>10011101=>4 [5,1,8,2,4,7,3,6]=>[4,8,1,7,5,2,6,3]=>[2,2,1,2,1]=>10101101=>6 [1,6,3,8,4,7,2,5]=>[8,3,6,1,5,2,7,4]=>[1,2,2,2,1]=>11010101=>6 [6,1,8,3,5,2,4,7]=>[3,8,1,6,4,7,5,2]=>[2,2,2,1,1]=>10101011=>6 [8,1,5,2,4,7,3,6]=>[1,8,4,7,5,2,6,3]=>[2,2,1,2,1]=>10101101=>6 [8,5,7,1,4,2,3,6]=>[1,4,2,8,5,7,6,3]=>[2,2,2,1,1]=>10101011=>6 [7,5,8,1,4,2,3,6]=>[2,4,1,8,5,7,6,3]=>[2,2,2,1,1]=>10101011=>6 [5,1,3,8,6,2,4,7]=>[4,8,6,1,3,7,5,2]=>[2,1,3,1,1]=>10110011=>4 [7,2,4,8,5,1,3,6]=>[2,7,5,1,4,8,6,3]=>[2,1,3,1,1]=>10110011=>4 [6,1,3,8,4,7,2,5]=>[3,8,6,1,5,2,7,4]=>[2,1,2,2,1]=>10110101=>6 [8,2,4,7,5,1,3,6]=>[1,7,5,2,4,8,6,3]=>[2,1,3,1,1]=>10110011=>4 [1,3,4,8,5,6,2,7]=>[8,6,5,1,4,3,7,2]=>[1,1,1,2,2,1]=>11110101=>4 [8,2,3,5,1,7,4,6]=>[1,7,6,4,8,2,5,3]=>[2,1,2,2,1]=>10110101=>6 [5,2,1,4,8,7,3,6]=>[4,7,8,5,1,2,6,3]=>[3,1,3,1]=>10011001=>4 [2,8,3,5,4,7,1,6]=>[7,1,6,4,5,2,8,3]=>[1,2,2,2,1]=>11010101=>6 [8,3,6,1,5,2,7,4]=>[1,6,3,8,4,7,2,5]=>[2,2,2,2]=>10101010=>7 [7,2,4,8,1,6,3,5]=>[2,7,5,1,8,3,6,4]=>[2,1,2,2,1]=>10110101=>6 [4,3,5,6,1,7,2,8]=>[5,6,4,3,8,2,7,1]=>[2,1,2,2,1]=>10110101=>6 [3,2,7,1,8,6,5,4]=>[6,7,2,8,1,3,4,5]=>[2,2,4]=>10101000=>5 [2,8,1,4,6,5,7,3]=>[7,1,8,5,3,4,2,6]=>[1,2,1,2,2]=>11011010=>5 [6,1,2,7,4,5,3,8]=>[3,8,7,2,5,4,6,1]=>[2,1,2,2,1]=>10110101=>6 [1,7,2,3,8,5,6,4]=>[8,2,7,6,1,4,3,5]=>[1,2,1,2,2]=>11011010=>5 [1,3,8,5,6,7,2,4]=>[8,6,1,4,3,2,7,5]=>[1,1,2,1,2,1]=>11101101=>4 [2,7,4,5,6,1,3,8]=>[7,2,5,4,3,8,6,1]=>[1,2,1,2,1,1]=>11011011=>4 [6,2,4,1,5,7,8,3]=>[3,7,5,8,4,2,1,6]=>[2,2,1,1,2]=>10101110=>5 [3,1,4,6,7,5,2,8]=>[6,8,5,3,2,4,7,1]=>[2,1,1,3,1]=>10111001=>4 [4,2,1,5,7,6,8,3]=>[5,7,8,4,2,3,1,6]=>[3,1,2,2]=>10011010=>5 [1,4,2,5,7,8,6,3]=>[8,5,7,4,2,1,3,6]=>[1,2,1,1,3]=>11011100=>3 [4,3,2,7,6,1,8,5]=>[5,6,7,2,3,8,1,4]=>[3,3,2]=>10010010=>5 [7,2,6,5,3,1,8,4]=>[2,7,3,4,6,8,1,5]=>[2,4,2]=>10100010=>5 [2,8,7,1,5,4,6,3]=>[7,1,2,8,4,5,3,6]=>[1,3,2,2]=>11001010=>5 [7,2,8,1,3,5,6,4]=>[2,7,1,8,6,4,3,5]=>[2,2,1,1,2]=>10101110=>5 [5,2,3,1,8,7,6,4]=>[4,7,6,8,1,2,3,5]=>[2,2,4]=>10101000=>5 [6,1,7,3,5,2,4,8]=>[3,8,2,6,4,7,5,1]=>[2,2,2,1,1]=>10101011=>6 [2,7,6,4,3,5,8,1]=>[7,2,3,5,6,4,1,8]=>[1,4,1,2]=>11000110=>3 [6,7,2,5,3,4,8,1]=>[3,2,7,4,6,5,1,8]=>[1,2,2,1,2]=>11010110=>5 [5,8,4,1,3,6,7,2]=>[4,1,5,8,6,3,2,7]=>[1,3,1,1,2]=>11001110=>3 [1,8,5,3,7,6,4,2]=>[8,1,4,6,2,3,5,7]=>[1,3,4]=>11001000=>3 [6,7,2,3,8,1,4,5]=>[3,2,7,6,1,8,5,4]=>[1,2,1,2,1,1]=>11011011=>4 [8,2,5,3,7,1,4,6]=>[1,7,4,6,2,8,5,3]=>[2,2,2,1,1]=>10101011=>6 [3,2,7,4,8,1,5,6]=>[6,7,2,5,1,8,4,3]=>[2,2,2,1,1]=>10101011=>6 [2,8,5,6,4,7,1,3]=>[7,1,4,3,5,2,8,6]=>[1,2,2,2,1]=>11010101=>6 [3,1,5,8,7,4,6,2]=>[6,8,4,1,2,5,3,7]=>[2,1,3,2]=>10110010=>5 [5,2,8,1,7,4,6,3]=>[4,7,1,8,2,5,3,6]=>[2,2,2,2]=>10101010=>7 [1,5,3,8,6,4,7,2]=>[8,4,6,1,3,5,2,7]=>[1,2,3,2]=>11010010=>5 [4,7,5,6,2,1,8,3]=>[5,2,4,3,7,8,1,6]=>[1,2,3,2]=>11010010=>5 [8,1,3,4,6,2,7,5]=>[1,8,6,5,3,7,2,4]=>[2,1,1,2,2]=>10111010=>5 [1,3,5,6,2,8,7,4]=>[8,6,4,3,7,1,2,5]=>[1,1,1,2,3]=>11110100=>3 [2,5,4,7,3,1,8,6]=>[7,4,5,2,6,8,1,3]=>[1,2,3,2]=>11010010=>5 [7,4,6,8,3,1,2,5]=>[2,5,3,1,6,8,7,4]=>[2,1,3,1,1]=>10110011=>4 [8,5,4,7,3,1,2,6]=>[1,4,5,2,6,8,7,3]=>[3,3,1,1]=>10010011=>4 [7,3,2,1,5,4,8,6]=>[2,6,7,8,4,5,1,3]=>[4,2,2]=>10001010=>5 [1,5,6,3,4,2,8,7]=>[8,4,3,6,5,7,1,2]=>[1,1,2,2,2]=>11101010=>5 [6,1,4,3,5,2,7,8]=>[3,8,5,6,4,7,2,1]=>[2,2,2,1,1]=>10101011=>6 [4,1,5,3,6,7,2,8]=>[5,8,4,6,3,2,7,1]=>[2,2,1,2,1]=>10101101=>6 [5,4,1,6,2,3,7,8]=>[4,5,8,3,7,6,2,1]=>[3,2,1,1,1]=>10010111=>4 [6,4,1,3,5,7,2,8]=>[3,5,8,6,4,2,7,1]=>[3,1,1,2,1]=>10011101=>4 [5,3,1,4,7,2,6,8]=>[4,6,8,5,2,7,3,1]=>[3,1,2,1,1]=>10011011=>4 [5,2,4,7,3,1,6,8]=>[4,7,5,2,6,8,3,1]=>[2,1,3,1,1]=>10110011=>4 [5,4,6,2,1,7,3,8]=>[4,5,3,7,8,2,6,1]=>[2,3,2,1]=>10100101=>6 [1,6,5,4,2,3,7,8]=>[8,3,4,5,7,6,2,1]=>[1,4,1,1,1]=>11000111=>2 [8,5,6,2,7,4,1,3]=>[1,4,3,7,2,5,8,6]=>[2,2,3,1]=>10101001=>6 [6,4,5,1,2,8,7,3]=>[3,5,4,8,7,1,2,6]=>[2,2,1,3]=>10101100=>5 [6,8,3,5,2,1,4,7]=>[3,1,6,4,7,8,5,2]=>[1,2,3,1,1]=>11010011=>4 [6,3,4,7,8,5,1,2]=>[3,6,5,2,1,4,8,7]=>[2,1,1,3,1]=>10111001=>4 [5,8,1,4,2,6,7,3]=>[4,1,8,5,7,3,2,6]=>[1,2,2,1,2]=>11010110=>5 [2,3,8,4,6,5,1,7]=>[7,6,1,5,3,4,8,2]=>[1,1,2,3,1]=>11101001=>4 [5,7,3,4,8,6,2,1]=>[4,2,6,5,1,3,7,8]=>[1,2,1,4]=>11011000=>3 [7,1,4,3,8,6,2,5]=>[2,8,5,6,1,3,7,4]=>[2,2,3,1]=>10101001=>6 [5,4,1,2,7,6,3,8]=>[4,5,8,7,2,3,6,1]=>[3,1,3,1]=>10011001=>4 [5,4,1,3,2,7,6,8]=>[4,5,8,6,7,2,3,1]=>[3,2,2,1]=>10010101=>6 [8,2,5,4,3,1,7,6]=>[1,7,4,5,6,8,2,3]=>[2,4,2]=>10100010=>5 [5,3,1,4,6,8,7,2]=>[4,6,8,5,3,1,2,7]=>[3,1,1,3]=>10011100=>3 [6,4,3,5,1,8,7,2]=>[3,5,6,4,8,1,2,7]=>[3,2,3]=>10010100=>5 [8,2,4,5,6,1,7,3]=>[1,7,5,4,3,8,2,6]=>[2,1,1,2,2]=>10111010=>5 [8,2,6,5,7,3,1,4]=>[1,7,3,4,2,6,8,5]=>[2,2,3,1]=>10101001=>6 [2,3,7,1,6,8,4,5]=>[7,6,2,8,3,1,5,4]=>[1,1,2,1,2,1]=>11101101=>4 [8,2,4,5,3,7,1,6]=>[1,7,5,4,6,2,8,3]=>[2,1,2,2,1]=>10110101=>6 [8,2,4,3,5,6,1,7]=>[1,7,5,6,4,3,8,2]=>[2,2,1,2,1]=>10101101=>6 [4,3,1,5,6,2,7,8]=>[5,6,8,4,3,7,2,1]=>[3,1,2,1,1]=>10011011=>4 [5,8,7,3,1,2,4,6]=>[4,1,2,6,8,7,5,3]=>[1,4,1,1,1]=>11000111=>2 [2,7,8,1,4,5,3,6]=>[7,2,1,8,5,4,6,3]=>[1,1,2,1,2,1]=>11101101=>4 [4,1,2,8,7,3,6,5]=>[5,8,7,1,2,6,3,4]=>[2,1,3,2]=>10110010=>5 [6,1,2,4,3,8,7,5]=>[3,8,7,5,6,1,2,4]=>[2,1,2,3]=>10110100=>5 [3,7,8,1,2,4,6,5]=>[6,2,1,8,7,5,3,4]=>[1,1,2,1,1,2]=>11101110=>3 [7,3,4,1,2,6,8,5]=>[2,6,5,8,7,3,1,4]=>[2,2,1,1,2]=>10101110=>5 [8,4,3,1,2,6,5,7]=>[1,5,6,8,7,3,4,2]=>[4,1,2,1]=>10001101=>4 [8,6,2,3,5,4,1,7]=>[1,3,7,6,4,5,8,2]=>[3,1,3,1]=>10011001=>4 [8,2,6,1,3,5,4,7]=>[1,7,3,8,6,4,5,2]=>[2,2,1,2,1]=>10101101=>6 [8,3,1,7,4,5,2,6]=>[1,6,8,2,5,4,7,3]=>[3,2,2,1]=>10010101=>6 [8,2,4,5,1,7,3,6]=>[1,7,5,4,8,2,6,3]=>[2,1,2,2,1]=>10110101=>6 [6,8,2,4,5,1,7,3]=>[3,1,7,5,4,8,2,6]=>[1,2,1,2,2]=>11011010=>5 [8,4,3,7,1,5,6,2]=>[1,5,6,2,8,4,3,7]=>[3,2,1,2]=>10010110=>5 [8,3,4,7,2,6,5,1]=>[1,6,5,2,7,3,4,8]=>[2,1,2,3]=>10110100=>5 [8,1,3,7,6,4,5,2]=>[1,8,6,2,3,5,4,7]=>[2,1,3,2]=>10110010=>5 [8,3,7,1,4,5,6,2]=>[1,6,2,8,5,4,3,7]=>[2,2,1,1,2]=>10101110=>5 [8,7,3,6,1,2,5,4]=>[1,2,6,3,8,7,4,5]=>[3,2,1,2]=>10010110=>5 [8,3,7,6,2,4,5,1]=>[1,6,2,3,7,5,4,8]=>[2,3,1,2]=>10100110=>5 [8,7,2,3,6,1,5,4]=>[1,2,7,6,3,8,4,5]=>[3,1,2,2]=>10011010=>5 [8,2,7,1,3,4,6,5]=>[1,7,2,8,6,5,3,4]=>[2,2,1,1,2]=>10101110=>5 [8,2,4,7,3,1,6,5]=>[1,7,5,2,6,8,3,4]=>[2,1,3,2]=>10110010=>5 [8,2,7,6,3,1,4,5]=>[1,7,2,3,6,8,5,4]=>[2,4,1,1]=>10100011=>4 [6,8,1,4,7,3,2,5]=>[3,1,8,5,2,6,7,4]=>[1,2,1,3,1]=>11011001=>4 [8,5,7,2,6,3,1,4]=>[1,4,2,7,3,6,8,5]=>[2,2,3,1]=>10101001=>6 [5,8,2,7,3,1,6,4]=>[4,1,7,2,6,8,3,5]=>[1,2,3,2]=>11010010=>5 [8,1,2,6,7,5,4,3]=>[1,8,7,3,2,4,5,6]=>[2,1,1,4]=>10111000=>3 [8,4,1,7,5,6,2,3]=>[1,5,8,2,4,3,7,6]=>[3,2,2,1]=>10010101=>6 [8,2,4,7,6,5,1,3]=>[1,7,5,2,3,4,8,6]=>[2,1,4,1]=>10110001=>4 [8,2,7,6,4,5,1,3]=>[1,7,2,3,5,4,8,6]=>[2,3,2,1]=>10100101=>6 [8,4,7,2,3,6,5,1]=>[1,5,2,7,6,3,4,8]=>[2,2,1,3]=>10101100=>5 [8,2,4,7,3,6,5,1]=>[1,7,5,2,6,3,4,8]=>[2,1,2,3]=>10110100=>5 [8,1,7,6,4,5,2,3]=>[1,8,2,3,5,4,7,6]=>[2,3,2,1]=>10100101=>6 [8,1,2,7,6,4,5,3]=>[1,8,7,2,3,5,4,6]=>[2,1,3,2]=>10110010=>5 [8,1,4,7,3,6,5,2]=>[1,8,5,2,6,3,4,7]=>[2,1,2,3]=>10110100=>5 [2,3,1,9,8,7,6,5,4]=>[8,7,9,1,2,3,4,5,6]=>[1,2,6]=>110100000=>3 [3,4,2,1,9,8,7,6,5]=>[7,6,8,9,1,2,3,4,5]=>[1,3,5]=>110010000=>3 [2,5,1,8,7,3,6,4]=>[7,4,8,1,2,6,3,5]=>[1,2,3,2]=>11010010=>5 [2,8,1,5,3,7,6,4]=>[7,1,8,4,6,2,3,5]=>[1,2,2,3]=>11010100=>5 [4,2,1,8,7,3,6,5]=>[5,7,8,1,2,6,3,4]=>[3,3,2]=>10010010=>5 [1,8,2,4,7,5,6,3]=>[8,1,7,5,2,4,3,6]=>[1,2,1,2,2]=>11011010=>5 [1,3,8,4,7,5,6,2]=>[8,6,1,5,2,4,3,7]=>[1,1,2,2,2]=>11101010=>5 [2,3,8,1,7,5,6,4]=>[7,6,1,8,2,4,3,5]=>[1,1,2,2,2]=>11101010=>5 [2,3,8,4,7,1,6,5]=>[7,6,1,5,2,8,3,4]=>[1,1,2,2,2]=>11101010=>5 [1,8,2,3,5,6,4,7]=>[8,1,7,6,4,3,5,2]=>[1,2,1,1,2,1]=>11011101=>4 [1,6,7,4,2,3,5,8]=>[8,3,2,5,7,6,4,1]=>[1,1,3,1,1,1]=>11100111=>2 [1,7,2,3,5,6,4,8]=>[8,2,7,6,4,3,5,1]=>[1,2,1,1,2,1]=>11011101=>4 [1,5,2,3,7,6,4,8]=>[8,4,7,6,2,3,5,1]=>[1,2,1,3,1]=>11011001=>4 [1,8,6,2,3,5,4,7]=>[8,1,3,7,6,4,5,2]=>[1,3,1,2,1]=>11001101=>4 [1,8,2,3,7,6,4,5]=>[8,1,7,6,2,3,5,4]=>[1,2,1,3,1]=>11011001=>4 [1,8,2,3,5,4,7,6]=>[8,1,7,6,4,5,2,3]=>[1,2,1,2,2]=>11011010=>5 [1,7,3,8,6,2,5,4]=>[8,2,6,1,3,7,4,5]=>[1,2,3,2]=>11010010=>5 [7,3,8,6,2,1,5,4]=>[2,6,1,3,7,8,4,5]=>[2,4,2]=>10100010=>5 [2,1,3,6,8,5,4,7]=>[7,8,6,3,1,4,5,2]=>[2,1,1,3,1]=>10111001=>4 [5,8,2,7,3,1,4,6]=>[4,1,7,2,6,8,5,3]=>[1,2,3,1,1]=>11010011=>4 [5,1,3,8,4,7,2,6]=>[4,8,6,1,5,2,7,3]=>[2,1,2,2,1]=>10110101=>6 [5,8,2,3,7,4,1,6]=>[4,1,7,6,2,5,8,3]=>[1,2,1,3,1]=>11011001=>4 [4,2,8,3,7,6,1,5]=>[5,7,1,6,2,3,8,4]=>[2,2,3,1]=>10101001=>6 [8,1,2,4,7,6,3,5]=>[1,8,7,5,2,3,6,4]=>[2,1,1,3,1]=>10111001=>4 [8,4,3,7,6,1,2,5]=>[1,5,6,2,3,8,7,4]=>[3,3,1,1]=>10010011=>4 [8,3,6,7,5,2,1,4]=>[1,6,3,2,4,7,8,5]=>[2,1,4,1]=>10110001=>4 [4,3,6,1,8,2,5,7]=>[5,6,3,8,1,7,4,2]=>[2,2,2,1,1]=>10101011=>6 [3,8,7,4,6,2,1,5]=>[6,1,2,5,3,7,8,4]=>[1,3,3,1]=>11001001=>4 [3,1,8,7,4,6,2,5]=>[6,8,1,2,5,3,7,4]=>[2,3,2,1]=>10100101=>6 [1,4,8,3,7,2,5,6]=>[8,5,1,6,2,7,4,3]=>[1,1,2,2,1,1]=>11101011=>4 [8,4,2,6,3,5,7,1]=>[1,5,7,3,6,4,2,8]=>[3,2,1,2]=>10010110=>5 [8,5,4,2,6,7,3,1]=>[1,4,5,7,3,2,6,8]=>[4,1,3]=>10001100=>3 [1,7,3,2,5,6,8,4]=>[8,2,6,7,4,3,1,5]=>[1,3,1,1,2]=>11001110=>3 [5,8,3,1,4,6,2,7]=>[4,1,6,8,5,3,7,2]=>[1,3,1,2,1]=>11001101=>4 [4,3,7,1,2,8,6,5]=>[5,6,2,8,7,1,3,4]=>[2,2,1,3]=>10101100=>5 [5,4,3,7,2,1,8,6]=>[4,5,6,2,7,8,1,3]=>[3,3,2]=>10010010=>5 [5,4,3,8,7,1,2,6]=>[4,5,6,1,2,8,7,3]=>[3,3,1,1]=>10010011=>4 [4,2,7,5,1,3,8,6]=>[5,7,2,4,8,6,1,3]=>[2,3,1,2]=>10100110=>5 [2,1,6,7,3,5,8,4]=>[7,8,3,2,6,4,1,5]=>[2,1,2,1,2]=>10110110=>5 [3,1,7,8,5,2,4,6]=>[6,8,2,1,4,7,5,3]=>[2,1,3,1,1]=>10110011=>4 [4,3,1,6,7,2,8,5]=>[5,6,8,3,2,7,1,4]=>[3,1,2,2]=>10011010=>5 [5,7,4,1,3,8,2,6]=>[4,2,5,8,6,1,7,3]=>[1,3,1,2,1]=>11001101=>4 [8,1,3,6,7,2,5,4]=>[1,8,6,3,2,7,4,5]=>[2,1,1,2,2]=>10111010=>5 [2,5,3,8,6,7,1,4]=>[7,4,6,1,3,2,8,5]=>[1,2,2,2,1]=>11010101=>6 [6,5,2,4,3,8,1,7]=>[3,4,7,5,6,1,8,2]=>[3,2,2,1]=>10010101=>6 [7,5,2,4,3,6,1,8]=>[2,4,7,5,6,3,8,1]=>[3,2,2,1]=>10010101=>6 [6,4,3,2,8,5,1,7]=>[3,5,6,7,1,4,8,2]=>[4,3,1]=>10001001=>4 [7,2,3,8,6,5,1,4]=>[2,7,6,1,3,4,8,5]=>[2,1,4,1]=>10110001=>4 [1,8,4,3,7,5,2,6]=>[8,1,5,6,2,4,7,3]=>[1,3,3,1]=>11001001=>4 [1,5,6,8,4,3,2,7]=>[8,4,3,1,5,6,7,2]=>[1,1,1,4,1]=>11110001=>2 [6,4,2,3,7,1,8,5]=>[3,5,7,6,2,8,1,4]=>[3,1,2,2]=>10011010=>5 [4,5,8,7,1,3,2,6]=>[5,4,1,2,8,6,7,3]=>[1,1,3,2,1]=>11100101=>4 [1,5,4,7,8,3,2,6]=>[8,4,5,2,1,6,7,3]=>[1,2,1,3,1]=>11011001=>4 [4,7,1,3,6,5,2,8]=>[5,2,8,6,3,4,7,1]=>[1,2,1,3,1]=>11011001=>4 [4,6,1,8,2,7,5,3]=>[5,3,8,1,7,2,4,6]=>[1,2,2,3]=>11010100=>5 [6,3,2,1,5,7,8,4]=>[3,6,7,8,4,2,1,5]=>[4,1,1,2]=>10001110=>3 [3,4,8,1,5,6,2,7]=>[6,5,1,8,4,3,7,2]=>[1,1,2,1,2,1]=>11101101=>4 [8,4,1,6,7,3,2,5]=>[1,5,8,3,2,6,7,4]=>[3,1,3,1]=>10011001=>4 [6,3,5,2,8,4,7,1]=>[3,6,4,7,1,5,2,8]=>[2,2,2,2]=>10101010=>7 [1,6,3,5,2,8,4,7]=>[8,3,6,4,7,1,5,2]=>[1,2,2,2,1]=>11010101=>6 [5,4,8,6,3,7,2,1]=>[4,5,1,3,6,2,7,8]=>[2,3,3]=>10100100=>5 [6,4,5,8,1,3,7,2]=>[3,5,4,1,8,6,2,7]=>[2,1,2,1,2]=>10110110=>5 [6,3,5,1,8,4,7,2]=>[3,6,4,8,1,5,2,7]=>[2,2,2,2]=>10101010=>7 [2,6,3,1,5,8,4,7]=>[7,3,6,8,4,1,5,2]=>[1,3,1,2,1]=>11001101=>4 [2,5,4,8,6,3,1,7]=>[7,4,5,1,3,6,8,2]=>[1,2,4,1]=>11010001=>4 [2,5,4,8,6,3,7,1]=>[7,4,5,1,3,6,2,8]=>[1,2,3,2]=>11010010=>5 [1,2,5,4,8,6,3,7]=>[8,7,4,5,1,3,6,2]=>[1,1,2,3,1]=>11101001=>4 [6,4,5,8,2,1,7,3]=>[3,5,4,1,7,8,2,6]=>[2,1,3,2]=>10110010=>5 [5,3,4,1,2,6,8,7]=>[4,6,5,8,7,3,1,2]=>[2,2,1,1,2]=>10101110=>5 [1,4,3,5,2,8,6,7]=>[8,5,6,4,7,1,3,2]=>[1,2,2,2,1]=>11010101=>6 [3,5,4,8,2,6,1,7]=>[6,4,5,1,7,3,8,2]=>[1,2,2,2,1]=>11010101=>6 [3,6,4,5,1,2,8,7]=>[6,3,5,4,8,7,1,2]=>[1,2,2,1,2]=>11010110=>5 [3,4,8,5,6,1,2,7]=>[6,5,1,4,3,8,7,2]=>[1,1,2,2,1,1]=>11101011=>4 [3,5,4,8,1,6,7,2]=>[6,4,5,1,8,3,2,7]=>[1,2,2,1,2]=>11010110=>5 [2,4,3,1,5,8,6,7]=>[7,5,6,8,4,1,3,2]=>[1,3,1,2,1]=>11001101=>4 [1,7,6,2,5,4,8,3]=>[8,2,3,7,4,5,1,6]=>[1,3,2,2]=>11001010=>5 [5,6,1,7,4,3,8,2]=>[4,3,8,2,5,6,1,7]=>[1,2,3,2]=>11010010=>5 [3,7,2,1,5,6,8,4]=>[6,2,7,8,4,3,1,5]=>[1,3,1,1,2]=>11001110=>3 [7,4,2,1,5,6,8,3]=>[2,5,7,8,4,3,1,6]=>[4,1,1,2]=>10001110=>3 [3,8,1,7,2,5,4,6]=>[6,1,8,2,7,4,5,3]=>[1,2,2,2,1]=>11010101=>6 [3,8,4,1,2,7,5,6]=>[6,1,5,8,7,2,4,3]=>[1,3,1,2,1]=>11001101=>4 [5,2,1,4,6,7,3,8]=>[4,7,8,5,3,2,6,1]=>[3,1,1,2,1]=>10011101=>4 [6,7,1,5,2,4,3,8]=>[3,2,8,4,7,5,6,1]=>[1,2,2,2,1]=>11010101=>6 [4,8,2,1,6,5,7,3]=>[5,1,7,8,3,4,2,6]=>[1,3,2,2]=>11001010=>5 [8,2,4,1,5,7,6,3]=>[1,7,5,8,4,2,3,6]=>[2,2,1,3]=>10101100=>5 [7,5,1,3,6,4,2,8]=>[2,4,8,6,3,5,7,1]=>[3,1,3,1]=>10011001=>4 [3,1,5,4,6,2,7,8]=>[6,8,4,5,3,7,2,1]=>[2,2,2,1,1]=>10101011=>6 [8,3,4,1,6,5,7,2]=>[1,6,5,8,3,4,2,7]=>[2,2,2,2]=>10101010=>7 [8,2,1,5,4,6,3,7]=>[1,7,8,4,5,3,6,2]=>[3,2,2,1]=>10010101=>6 [8,1,6,4,3,5,2,7]=>[1,8,3,5,6,4,7,2]=>[2,3,2,1]=>10100101=>6 [1,3,7,8,2,6,4,5]=>[8,6,2,1,7,3,5,4]=>[1,1,1,2,2,1]=>11110101=>4 [1,5,6,2,8,3,7,4]=>[8,4,3,7,1,6,2,5]=>[1,1,2,2,2]=>11101010=>5 [5,2,1,3,7,8,6,4]=>[4,7,8,6,2,1,3,5]=>[3,1,1,3]=>10011100=>3 [2,1,6,5,3,8,7,4]=>[7,8,3,4,6,1,2,5]=>[2,3,3]=>10100100=>5 [5,2,1,7,4,6,8,3]=>[4,7,8,2,5,3,1,6]=>[3,2,1,2]=>10010110=>5 [4,5,3,1,6,2,8,7]=>[5,4,6,8,3,7,1,2]=>[1,3,2,2]=>11001010=>5 [5,4,1,3,7,6,8,2]=>[4,5,8,6,2,3,1,7]=>[3,1,2,2]=>10011010=>5 [3,1,4,2,8,7,5,6]=>[6,8,5,7,1,2,4,3]=>[2,2,3,1]=>10101001=>6 [1,4,3,2,8,7,5,6]=>[8,5,6,7,1,2,4,3]=>[1,3,3,1]=>11001001=>4 [1,3,7,8,6,2,4,5]=>[8,6,2,1,3,7,5,4]=>[1,1,1,3,1,1]=>11110011=>2 [1,3,8,5,4,7,2,6]=>[8,6,1,4,5,2,7,3]=>[1,1,3,2,1]=>11100101=>4 [1,4,2,7,6,8,5,3]=>[8,5,7,2,3,1,4,6]=>[1,2,2,3]=>11010100=>5 [2,6,7,5,1,4,8,3]=>[7,3,2,4,8,5,1,6]=>[1,1,3,1,2]=>11100110=>3 [5,6,8,2,1,4,7,3]=>[4,3,1,7,8,5,2,6]=>[1,1,3,1,2]=>11100110=>3 [3,4,5,2,6,7,8,9,1]=>[7,6,5,8,4,3,2,1,9]=>[1,1,2,1,1,1,2]=>111011110=>3 [3,4,5,6,7,2,8,9,1]=>[7,6,5,4,3,8,2,1,9]=>[1,1,1,1,2,1,2]=>111110110=>3 [3,5,2,1,6,7,8,9,4]=>[7,5,8,9,4,3,2,1,6]=>[1,3,1,1,1,2]=>110011110=>3 [3,4,5,7,1,2,8,9,6]=>[7,6,5,3,9,8,2,1,4]=>[1,1,1,2,1,1,2]=>111101110=>3 [3,4,5,6,7,9,2,1,8]=>[7,6,5,4,3,1,8,9,2]=>[1,1,1,1,1,3,1]=>111111001=>2 [3,4,5,6,9,2,1,7,8]=>[7,6,5,4,1,8,9,3,2]=>[1,1,1,1,3,1,1]=>111110011=>2 [6,1,3,2,7,4,5,8]=>[3,8,6,7,2,5,4,1]=>[2,2,2,1,1]=>10101011=>6 [7,2,5,8,3,6,4,1]=>[2,7,4,1,6,3,5,8]=>[2,1,2,3]=>10110100=>5 [7,4,5,2,6,8,3,1]=>[2,5,4,7,3,1,6,8]=>[2,2,1,3]=>10101100=>5 [6,1,4,3,7,5,8,2]=>[3,8,5,6,2,4,1,7]=>[2,2,2,2]=>10101010=>7 [1,4,6,7,5,8,2,3]=>[8,5,3,2,4,1,7,6]=>[1,1,1,2,2,1]=>11110101=>4 [5,1,2,8,7,6,4,3]=>[4,8,7,1,2,3,5,6]=>[2,1,5]=>10110000=>3 [7,1,3,6,5,8,2,4]=>[2,8,6,3,4,1,7,5]=>[2,1,2,2,1]=>10110101=>6 [3,6,1,4,7,5,2,8]=>[6,3,8,5,2,4,7,1]=>[1,2,1,3,1]=>11011001=>4 [7,1,3,4,6,5,8,2]=>[2,8,6,5,3,4,1,7]=>[2,1,1,2,2]=>10111010=>5 [3,8,6,4,5,2,7,1]=>[6,1,3,5,4,7,2,8]=>[1,3,2,2]=>11001010=>5 [4,5,8,6,2,3,7,1]=>[5,4,1,3,7,6,2,8]=>[1,1,3,1,2]=>11100110=>3 [4,6,8,5,3,7,2,1]=>[5,3,1,4,6,2,7,8]=>[1,1,3,3]=>11100100=>3 [4,5,7,2,8,6,3,1]=>[5,4,2,7,1,3,6,8]=>[1,1,2,4]=>11101000=>3 [3,7,4,5,1,6,8,2]=>[6,2,5,4,8,3,1,7]=>[1,2,2,1,2]=>11010110=>5 [4,6,8,1,2,5,7,3]=>[5,3,1,8,7,4,2,6]=>[1,1,2,1,1,2]=>11101110=>3 [4,6,8,5,1,3,7,2]=>[5,3,1,4,8,6,2,7]=>[1,1,3,1,2]=>11100110=>3 [3,7,4,5,2,8,6,1]=>[6,2,5,4,7,1,3,8]=>[1,2,2,3]=>11010100=>5 [3,7,8,4,6,1,5,2]=>[6,2,1,5,3,8,4,7]=>[1,1,2,2,2]=>11101010=>5 [4,5,7,2,1,6,8,3]=>[5,4,2,7,8,3,1,6]=>[1,1,3,1,2]=>11100110=>3 [1,7,4,5,2,6,8,3]=>[8,2,5,4,7,3,1,6]=>[1,2,2,1,2]=>11010110=>5 [3,1,5,8,4,6,2,7]=>[6,8,4,1,5,3,7,2]=>[2,1,2,2,1]=>10110101=>6 [4,6,5,8,2,1,3,7]=>[5,3,4,1,7,8,6,2]=>[1,2,3,1,1]=>11010011=>4 [1,4,8,3,5,6,2,7]=>[8,5,1,6,4,3,7,2]=>[1,1,2,1,2,1]=>11101101=>4 [1,8,7,4,2,3,6,5]=>[8,1,2,5,7,6,3,4]=>[1,4,1,2]=>11000110=>3 [4,3,1,8,5,7,2,6]=>[5,6,8,1,4,2,7,3]=>[3,2,2,1]=>10010101=>6 [7,3,2,4,8,1,6,5]=>[2,6,7,5,1,8,3,4]=>[3,1,2,2]=>10011010=>5 [3,7,2,4,5,8,1,6]=>[6,2,7,5,4,1,8,3]=>[1,2,1,1,2,1]=>11011101=>4 [3,2,7,4,6,1,8,5]=>[6,7,2,5,3,8,1,4]=>[2,2,2,2]=>10101010=>7 [8,3,2,4,6,1,7,5]=>[1,6,7,5,3,8,2,4]=>[3,1,2,2]=>10011010=>5 [8,3,2,4,5,7,1,6]=>[1,6,7,5,4,2,8,3]=>[3,1,1,2,1]=>10011101=>4 [7,4,6,2,1,3,8,5]=>[2,5,3,7,8,6,1,4]=>[2,3,1,2]=>10100110=>5 [3,6,7,2,4,1,8,5]=>[6,3,2,7,5,8,1,4]=>[1,1,2,2,2]=>11101010=>5 [8,4,7,2,3,5,6,1]=>[1,5,2,7,6,4,3,8]=>[2,2,1,1,2]=>10101110=>5 [5,7,1,8,4,3,6,2]=>[4,2,8,1,5,6,3,7]=>[1,2,3,2]=>11010010=>5 [5,4,8,7,6,2,3,1]=>[4,5,1,2,3,7,6,8]=>[2,4,2]=>10100010=>5 [8,4,6,3,1,5,2,7]=>[1,5,3,6,8,4,7,2]=>[2,3,2,1]=>10100101=>6 [3,6,1,5,2,4,7,8]=>[6,3,8,4,7,5,2,1]=>[1,2,2,1,1,1]=>11010111=>4 [3,7,6,2,5,4,1,8]=>[6,2,3,7,4,5,8,1]=>[1,3,3,1]=>11001001=>4 [2,7,1,5,3,4,6,8]=>[7,2,8,4,6,5,3,1]=>[1,2,2,1,1,1]=>11010111=>4 [8,4,5,1,2,7,6,3]=>[1,5,4,8,7,2,3,6]=>[2,2,1,3]=>10101100=>5 [7,5,2,4,1,3,8,6]=>[2,4,7,5,8,6,1,3]=>[3,2,1,2]=>10010110=>5 [7,2,6,8,5,1,3,4]=>[2,7,3,1,4,8,6,5]=>[2,1,3,1,1]=>10110011=>4 [8,6,5,4,1,3,7,2]=>[1,3,4,5,8,6,2,7]=>[5,1,2]=>10000110=>3 [8,2,3,4,1,6,7,5]=>[1,7,6,5,8,3,2,4]=>[2,1,2,1,2]=>10110110=>5 [9,2,3,4,5,6,1,8,7]=>[1,8,7,6,5,4,9,2,3]=>[2,1,1,1,2,2]=>101111010=>5 [3,8,7,5,4,2,1,6]=>[6,1,2,4,5,7,8,3]=>[1,6,1]=>11000001=>2 [7,3,6,5,8,1,4,2]=>[2,6,3,4,1,8,5,7]=>[2,2,2,2]=>10101010=>7 [7,3,4,8,6,1,5,2]=>[2,6,5,1,3,8,4,7]=>[2,1,3,2]=>10110010=>5 [5,2,3,1,6,8,4,7]=>[4,7,6,8,3,1,5,2]=>[2,2,1,2,1]=>10101101=>6 [7,4,3,8,1,6,5,2]=>[2,5,6,1,8,3,4,7]=>[3,2,3]=>10010100=>5 [5,1,4,2,7,8,6,3]=>[4,8,5,7,2,1,3,6]=>[2,2,1,3]=>10101100=>5 [5,4,1,2,7,6,8,3]=>[4,5,8,7,2,3,1,6]=>[3,1,2,2]=>10011010=>5 [2,8,7,4,1,5,3,6]=>[7,1,2,5,8,4,6,3]=>[1,4,2,1]=>11000101=>4 [2,1,7,5,8,4,3,6]=>[7,8,2,4,1,5,6,3]=>[2,2,3,1]=>10101001=>6 [3,6,1,2,8,5,7,4]=>[6,3,8,7,1,4,2,5]=>[1,2,1,2,2]=>11011010=>5 [6,5,1,4,3,8,7,2]=>[3,4,8,5,6,1,2,7]=>[3,2,3]=>10010100=>5 [6,3,1,2,7,5,8,4]=>[3,6,8,7,2,4,1,5]=>[3,1,2,2]=>10011010=>5 [7,5,8,1,4,3,6,2]=>[2,4,1,8,5,6,3,7]=>[2,2,2,2]=>10101010=>7 [7,2,1,6,5,8,4,3]=>[2,7,8,3,4,1,5,6]=>[3,2,3]=>10010100=>5 [7,4,5,3,8,6,2,1]=>[2,5,4,6,1,3,7,8]=>[2,2,4]=>10101000=>5 [2,4,7,8,6,3,1,5]=>[7,5,2,1,3,6,8,4]=>[1,1,1,4,1]=>11110001=>2 [6,2,4,3,5,8,1,7]=>[3,7,5,6,4,1,8,2]=>[2,2,1,2,1]=>10101101=>6 [2,4,5,8,1,7,3,6]=>[7,5,4,1,8,2,6,3]=>[1,1,1,2,2,1]=>11110101=>4 [5,2,3,8,4,7,6,1]=>[4,7,6,1,5,2,3,8]=>[2,1,2,3]=>10110100=>5 [4,7,3,5,8,2,1,6]=>[5,2,6,4,1,7,8,3]=>[1,2,1,3,1]=>11011001=>4 [5,2,8,7,4,6,3,1]=>[4,7,1,2,5,3,6,8]=>[2,3,3]=>10100100=>5 [2,4,7,6,3,1,8,5]=>[7,5,2,3,6,8,1,4]=>[1,1,4,2]=>11100010=>3 [4,7,6,2,5,8,1,3]=>[5,2,3,7,4,1,8,6]=>[1,3,1,2,1]=>11001101=>4 [7,6,3,1,5,8,2,4]=>[2,3,6,8,4,1,7,5]=>[4,1,2,1]=>10001101=>4 [7,4,1,6,8,3,5,2]=>[2,5,8,3,1,6,4,7]=>[3,1,2,2]=>10011010=>5 [6,3,2,4,5,8,1,7]=>[3,6,7,5,4,1,8,2]=>[3,1,1,2,1]=>10011101=>4 [7,4,2,3,6,8,1,5]=>[2,5,7,6,3,1,8,4]=>[3,1,1,2,1]=>10011101=>4 [2,6,4,5,8,3,1,7]=>[7,3,5,4,1,6,8,2]=>[1,2,1,3,1]=>11011001=>4 [3,7,4,8,6,2,5,1]=>[6,2,5,1,3,7,4,8]=>[1,2,3,2]=>11010010=>5 [4,8,7,1,3,6,2,5]=>[5,1,2,8,6,3,7,4]=>[1,3,1,2,1]=>11001101=>4 [7,3,5,2,8,1,4,6]=>[2,6,4,7,1,8,5,3]=>[2,2,2,1,1]=>10101011=>6 [1,5,8,7,4,2,3,6]=>[8,4,1,2,5,7,6,3]=>[1,1,4,1,1]=>11100011=>2 [1,7,2,4,5,8,6,3]=>[8,2,7,5,4,1,3,6]=>[1,2,1,1,3]=>11011100=>3 [1,6,2,7,5,3,4,8]=>[8,3,7,2,4,6,5,1]=>[1,2,3,1,1]=>11010011=>4 [1,7,3,2,8,5,6,4]=>[8,2,6,7,1,4,3,5]=>[1,3,2,2]=>11001010=>5 [1,6,5,2,4,8,3,7]=>[8,3,4,7,5,1,6,2]=>[1,3,1,2,1]=>11001101=>4 [1,7,3,8,4,2,5,6]=>[8,2,6,1,5,7,4,3]=>[1,2,3,1,1]=>11010011=>4 [1,6,2,7,4,3,8,5]=>[8,3,7,2,5,6,1,4]=>[1,2,3,2]=>11010010=>5 [2,5,3,6,7,1,4,8]=>[7,4,6,3,2,8,5,1]=>[1,2,1,2,1,1]=>11011011=>4 [6,4,1,5,7,2,3,8]=>[3,5,8,4,2,7,6,1]=>[3,1,2,1,1]=>10011011=>4 [7,5,6,2,1,4,8,3]=>[2,4,3,7,8,5,1,6]=>[2,3,1,2]=>10100110=>5 [6,4,1,5,7,3,8,2]=>[3,5,8,4,2,6,1,7]=>[3,1,2,2]=>10011010=>5 [2,5,3,6,7,4,8,1]=>[7,4,6,3,2,5,1,8]=>[1,2,1,2,2]=>11011010=>5 [6,1,5,7,3,4,2,8]=>[3,8,4,2,6,5,7,1]=>[2,1,2,2,1]=>10110101=>6 [1,2,7,3,8,5,6,4]=>[8,7,2,6,1,4,3,5]=>[1,1,2,2,2]=>11101010=>5 [8,1,6,3,2,7,5,4]=>[1,8,3,6,7,2,4,5]=>[2,3,3]=>10100100=>5 [7,4,1,6,3,8,2,5]=>[2,5,8,3,6,1,7,4]=>[3,2,2,1]=>10010101=>6 [7,5,6,2,4,8,1,3]=>[2,4,3,7,5,1,8,6]=>[2,2,1,2,1]=>10101101=>6 [7,8,5,1,4,2,3,6]=>[2,1,4,8,5,7,6,3]=>[1,3,2,1,1]=>11001011=>4 [3,7,8,4,2,1,5,6]=>[6,2,1,5,7,8,4,3]=>[1,1,4,1,1]=>11100011=>2 [5,4,1,3,6,2,7,8]=>[4,5,8,6,3,7,2,1]=>[3,1,2,1,1]=>10011011=>4 [6,5,2,1,4,7,3,8]=>[3,4,7,8,5,2,6,1]=>[4,1,2,1]=>10001101=>4 [5,6,2,3,7,1,4,8]=>[4,3,7,6,2,8,5,1]=>[1,2,1,2,1,1]=>11011011=>4 [5,6,2,3,7,4,8,1]=>[4,3,7,6,2,5,1,8]=>[1,2,1,2,2]=>11011010=>5 [1,6,2,3,7,5,4,8]=>[8,3,7,6,2,4,5,1]=>[1,2,1,3,1]=>11011001=>4 [2,7,3,1,4,5,8,6]=>[7,2,6,8,5,4,1,3]=>[1,3,1,1,2]=>11001110=>3 [6,5,8,3,2,7,1,4]=>[3,4,1,6,7,2,8,5]=>[2,3,2,1]=>10100101=>6 [8,4,3,1,7,6,5,2]=>[1,5,6,8,2,3,4,7]=>[4,4]=>10001000=>3 [1,2,7,6,5,3,4,8]=>[8,7,2,3,4,6,5,1]=>[1,1,4,1,1]=>11100011=>2 [1,2,7,6,4,5,3,8]=>[8,7,2,3,5,4,6,1]=>[1,1,3,2,1]=>11100101=>4 [1,2,8,7,6,4,5,3]=>[8,7,1,2,3,5,4,6]=>[1,1,4,2]=>11100010=>3 [1,2,8,7,5,3,4,6]=>[8,7,1,2,4,6,5,3]=>[1,1,4,1,1]=>11100011=>2 [1,2,6,5,3,4,8,7]=>[8,7,3,4,6,5,1,2]=>[1,1,3,1,2]=>11100110=>3 [1,2,6,7,5,3,4,8]=>[8,7,3,2,4,6,5,1]=>[1,1,1,3,1,1]=>11110011=>2 [1,2,7,5,4,3,6,8]=>[8,7,2,4,5,6,3,1]=>[1,1,4,1,1]=>11100011=>2 [1,2,8,6,7,4,5,3]=>[8,7,1,3,2,5,4,6]=>[1,1,2,2,2]=>11101010=>5 [3,4,5,6,7,9,1,8,2]=>[7,6,5,4,3,1,9,2,8]=>[1,1,1,1,1,2,2]=>111111010=>3 [3,4,5,6,8,2,7,1]=>[6,5,4,3,1,7,2,8]=>[1,1,1,1,2,2]=>11111010=>3 [3,7,5,2,1,6,4,8]=>[6,2,4,7,8,3,5,1]=>[1,4,2,1]=>11000101=>4 [6,1,3,5,8,4,2,7]=>[3,8,6,4,1,5,7,2]=>[2,1,1,3,1]=>10111001=>4 [7,2,1,4,5,6,3,8]=>[2,7,8,5,4,3,6,1]=>[3,1,1,2,1]=>10011101=>4 [4,6,1,3,7,5,2,8]=>[5,3,8,6,2,4,7,1]=>[1,2,1,3,1]=>11011001=>4 [5,6,8,1,3,4,2,7]=>[4,3,1,8,6,5,7,2]=>[1,1,2,1,2,1]=>11101101=>4 [1,5,6,7,3,4,2,8]=>[8,4,3,2,6,5,7,1]=>[1,1,1,2,2,1]=>11110101=>4 [5,6,7,1,4,3,2,8]=>[4,3,2,8,5,6,7,1]=>[1,1,2,3,1]=>11101001=>4 [5,7,8,1,4,2,3,6]=>[4,2,1,8,5,7,6,3]=>[1,1,2,2,1,1]=>11101011=>4 [4,6,8,5,2,1,7,3]=>[5,3,1,4,7,8,2,6]=>[1,1,4,2]=>11100010=>3 [1,6,7,8,2,4,5,3]=>[8,3,2,1,7,5,4,6]=>[1,1,1,2,1,2]=>11110110=>3 [4,7,8,2,1,3,5,6]=>[5,2,1,7,8,6,4,3]=>[1,1,3,1,1,1]=>11100111=>2 [5,7,8,3,2,4,6,1]=>[4,2,1,6,7,5,3,8]=>[1,1,3,1,2]=>11100110=>3 [3,5,4,1,8,2,7,6]=>[6,4,5,8,1,7,2,3]=>[1,3,2,2]=>11001010=>5 [3,6,1,8,4,2,7,5]=>[6,3,8,1,5,7,2,4]=>[1,2,3,2]=>11010010=>5 [6,7,8,2,3,5,1,4]=>[3,2,1,7,6,4,8,5]=>[1,1,2,1,2,1]=>11101101=>4 [6,7,8,2,5,1,3,4]=>[3,2,1,7,4,8,6,5]=>[1,1,2,2,1,1]=>11101011=>4 [6,7,8,2,5,3,4,1]=>[3,2,1,7,4,6,5,8]=>[1,1,2,2,2]=>11101010=>5 [5,7,8,2,6,4,3,1]=>[4,2,1,7,3,5,6,8]=>[1,1,2,4]=>11101000=>3 [1,6,7,8,2,5,4,3]=>[8,3,2,1,7,4,5,6]=>[1,1,1,2,3]=>11110100=>3 [6,7,8,2,5,4,1,3]=>[3,2,1,7,4,5,8,6]=>[1,1,2,3,1]=>11101001=>4 [4,5,2,7,8,6,1,3]=>[5,4,7,2,1,3,8,6]=>[1,2,1,3,1]=>11011001=>4 [2,6,5,3,4,7,1,8]=>[7,3,4,6,5,2,8,1]=>[1,3,1,2,1]=>11001101=>4 [1,4,7,3,6,5,8,2]=>[8,5,2,6,3,4,1,7]=>[1,1,2,2,2]=>11101010=>5 [2,4,7,3,6,5,1,8]=>[7,5,2,6,3,4,8,1]=>[1,1,2,3,1]=>11101001=>4 [4,7,1,3,6,5,8,2]=>[5,2,8,6,3,4,1,7]=>[1,2,1,2,2]=>11011010=>5 [1,8,5,3,4,2,6,7]=>[8,1,4,6,5,7,3,2]=>[1,3,2,1,1]=>11001011=>4 [1,3,5,8,7,2,6,4]=>[8,6,4,1,2,7,3,5]=>[1,1,1,3,2]=>11110010=>3 [2,3,5,7,4,6,1,8]=>[7,6,4,2,5,3,8,1]=>[1,1,1,2,2,1]=>11110101=>4 [6,4,1,8,5,7,3,2]=>[3,5,8,1,4,2,6,7]=>[3,2,3]=>10010100=>5 [4,1,3,8,7,5,2,6]=>[5,8,6,1,2,4,7,3]=>[2,1,4,1]=>10110001=>4 [6,7,3,1,2,5,8,4]=>[3,2,6,8,7,4,1,5]=>[1,3,1,1,2]=>11001110=>3 [6,5,8,2,1,4,7,3]=>[3,4,1,7,8,5,2,6]=>[2,3,1,2]=>10100110=>5 [8,5,1,6,7,2,4,3]=>[1,4,8,3,2,7,5,6]=>[3,1,2,2]=>10011010=>5 [6,1,8,5,7,3,2,4]=>[3,8,1,4,2,6,7,5]=>[2,2,3,1]=>10101001=>6 [3,6,7,2,1,5,8,4]=>[6,3,2,7,8,4,1,5]=>[1,1,3,1,2]=>11100110=>3 [7,8,4,3,5,1,6,2]=>[2,1,5,6,4,8,3,7]=>[1,3,2,2]=>11001010=>5 [3,1,7,6,2,5,8,4]=>[6,8,2,3,7,4,1,5]=>[2,3,1,2]=>10100110=>5 [2,5,6,1,3,8,7,4]=>[7,4,3,8,6,1,2,5]=>[1,1,2,1,3]=>11101100=>3 [2,8,1,3,5,7,6,4]=>[7,1,8,6,4,2,3,5]=>[1,2,1,1,3]=>11011100=>3 [3,8,5,7,2,4,6,1]=>[6,1,4,2,7,5,3,8]=>[1,2,2,1,2]=>11010110=>5 [3,1,5,4,6,8,2,7]=>[6,8,4,5,3,1,7,2]=>[2,2,1,2,1]=>10101101=>6 [3,5,4,8,1,7,6,2]=>[6,4,5,1,8,2,3,7]=>[1,2,2,3]=>11010100=>5 [5,7,4,6,1,3,2,8]=>[4,2,5,3,8,6,7,1]=>[1,2,2,2,1]=>11010101=>6 [5,8,3,2,6,4,7,1]=>[4,1,6,7,3,5,2,8]=>[1,3,2,2]=>11001010=>5 [6,7,1,4,5,2,8,3]=>[3,2,8,5,4,7,1,6]=>[1,2,1,2,2]=>11011010=>5 [7,2,5,6,1,3,8,4]=>[2,7,4,3,8,6,1,5]=>[2,1,2,1,2]=>10110110=>5 [5,7,4,8,6,1,2,3]=>[4,2,5,1,3,8,7,6]=>[1,2,3,1,1]=>11010011=>4 [6,4,1,2,5,8,3,7]=>[3,5,8,7,4,1,6,2]=>[3,1,1,2,1]=>10011101=>4 [5,4,8,1,6,7,2,3]=>[4,5,1,8,3,2,7,6]=>[2,2,1,2,1]=>10101101=>6 [5,7,2,6,3,1,8,4]=>[4,2,7,3,6,8,1,5]=>[1,2,3,2]=>11010010=>5 [4,6,3,5,7,1,8,2]=>[5,3,6,4,2,8,1,7]=>[1,2,1,2,2]=>11011010=>5 [4,7,3,5,2,6,8,1]=>[5,2,6,4,7,3,1,8]=>[1,2,2,1,2]=>11010110=>5 [7,3,6,5,2,4,8,1]=>[2,6,3,4,7,5,1,8]=>[2,3,1,2]=>10100110=>5 [7,3,6,4,5,1,8,2]=>[2,6,3,5,4,8,1,7]=>[2,2,2,2]=>10101010=>7 [2,6,3,5,7,1,8,4]=>[7,3,6,4,2,8,1,5]=>[1,2,1,2,2]=>11011010=>5 [2,3,5,4,7,1,8,6]=>[7,6,4,5,2,8,1,3]=>[1,1,2,2,2]=>11101010=>5 [4,5,6,8,1,7,2,3]=>[5,4,3,1,8,2,7,6]=>[1,1,1,2,2,1]=>11110101=>4 [4,5,8,2,7,3,6,1]=>[5,4,1,7,2,6,3,8]=>[1,1,2,2,2]=>11101010=>5 [4,1,5,7,2,6,8,3]=>[5,8,4,2,7,3,1,6]=>[2,1,2,1,2]=>10110110=>5 [1,3,7,4,2,5,8,6]=>[8,6,2,5,7,4,1,3]=>[1,1,3,1,2]=>11100110=>3 [8,7,2,6,5,3,4,1]=>[1,2,7,3,4,6,5,8]=>[3,3,2]=>10010010=>5 [6,8,4,1,5,7,3,2]=>[3,1,5,8,4,2,6,7]=>[1,3,1,3]=>11001100=>3 [4,5,1,7,2,6,8,3]=>[5,4,8,2,7,3,1,6]=>[1,2,2,1,2]=>11010110=>5 [8,1,6,2,3,7,5,4]=>[1,8,3,7,6,2,4,5]=>[2,2,1,3]=>10101100=>5 [7,3,1,2,6,5,8,4]=>[2,6,8,7,3,4,1,5]=>[3,1,2,2]=>10011010=>5 [7,1,3,5,6,4,8,2]=>[2,8,6,4,3,5,1,7]=>[2,1,1,2,2]=>10111010=>5 [7,2,3,6,4,5,8,1]=>[2,7,6,3,5,4,1,8]=>[2,1,2,1,2]=>10110110=>5 [6,1,2,5,3,7,4,8]=>[3,8,7,4,6,2,5,1]=>[2,1,2,2,1]=>10110101=>6 [7,3,4,2,8,1,6,5]=>[2,6,5,7,1,8,3,4]=>[2,2,2,2]=>10101010=>7 [1,3,4,7,8,5,6,2]=>[8,6,5,2,1,4,3,7]=>[1,1,1,1,2,2]=>11111010=>3 [1,8,5,3,6,4,7,2]=>[8,1,4,6,3,5,2,7]=>[1,3,2,2]=>11001010=>5 [1,6,4,5,8,3,7,2]=>[8,3,5,4,1,6,2,7]=>[1,2,1,2,2]=>11011010=>5 [1,3,6,5,8,4,7,2]=>[8,6,3,4,1,5,2,7]=>[1,1,2,2,2]=>11101010=>5 [8,3,1,6,5,4,2,7]=>[1,6,8,3,4,5,7,2]=>[3,4,1]=>10010001=>4 [4,5,7,3,2,1,8,6]=>[5,4,2,6,7,8,1,3]=>[1,1,4,2]=>11100010=>3 [2,5,8,1,6,4,3,7]=>[7,4,1,8,3,5,6,2]=>[1,1,2,3,1]=>11101001=>4 [4,6,1,2,5,3,8,7]=>[5,3,8,7,4,6,1,2]=>[1,2,1,2,2]=>11011010=>5 [2,5,6,7,3,1,4,8]=>[7,4,3,2,6,8,5,1]=>[1,1,1,3,1,1]=>11110011=>2 [7,2,5,6,1,4,3,8]=>[2,7,4,3,8,5,6,1]=>[2,1,2,2,1]=>10110101=>6 [6,7,5,1,3,2,8,4]=>[3,2,4,8,6,7,1,5]=>[1,3,2,2]=>11001010=>5 [3,5,8,6,7,2,1,4]=>[6,4,1,3,2,7,8,5]=>[1,1,2,3,1]=>11101001=>4 [2,8,3,6,4,1,7,5]=>[7,1,6,3,5,8,2,4]=>[1,2,3,2]=>11010010=>5 [8,5,7,1,3,4,2,6]=>[1,4,2,8,6,5,7,3]=>[2,2,1,2,1]=>10101101=>6 [5,1,8,7,3,2,6,4]=>[4,8,1,2,6,7,3,5]=>[2,4,2]=>10100010=>5 [6,5,3,4,8,2,1,7]=>[3,4,6,5,1,7,8,2]=>[3,1,3,1]=>10011001=>4 [6,4,8,7,3,1,2,5]=>[3,5,1,2,6,8,7,4]=>[2,4,1,1]=>10100011=>4 [4,8,5,6,2,1,7,3]=>[5,1,4,3,7,8,2,6]=>[1,2,3,2]=>11010010=>5 [5,8,6,3,7,4,2,1]=>[4,1,3,6,2,5,7,8]=>[1,3,4]=>11001000=>3 [6,8,7,1,2,5,3,4]=>[3,1,2,8,7,4,6,5]=>[1,3,1,2,1]=>11001101=>4 [8,4,5,2,7,3,6,1]=>[1,5,4,7,2,6,3,8]=>[2,2,2,2]=>10101010=>7 [6,3,7,4,5,2,8,1]=>[3,6,2,5,4,7,1,8]=>[2,2,2,2]=>10101010=>7 [7,3,4,2,8,5,6,1]=>[2,6,5,7,1,4,3,8]=>[2,2,2,2]=>10101010=>7 [4,3,6,5,8,2,7,1]=>[5,6,3,4,1,7,2,8]=>[2,2,2,2]=>10101010=>7 [8,2,7,4,5,3,6,1]=>[1,7,2,5,4,6,3,8]=>[2,2,2,2]=>10101010=>7 [7,2,8,4,5,3,6,1]=>[2,7,1,5,4,6,3,8]=>[2,2,2,2]=>10101010=>7 [3,2,8,4,7,5,6,1]=>[6,7,1,5,2,4,3,8]=>[2,2,2,2]=>10101010=>7 [8,3,6,2,7,4,5,1]=>[1,6,3,7,2,5,4,8]=>[2,2,2,2]=>10101010=>7 [3,4,7,8,2,6,5,1]=>[6,5,2,1,7,3,4,8]=>[1,1,1,2,3]=>11110100=>3 [3,2,6,8,4,5,7,1]=>[6,7,3,1,5,4,2,8]=>[2,1,2,1,2]=>10110110=>5 [2,6,5,8,4,7,3,1]=>[7,3,4,1,5,2,6,8]=>[1,2,2,3]=>11010100=>5 [4,3,5,6,8,2,1,7]=>[5,6,4,3,1,7,8,2]=>[2,1,1,3,1]=>10111001=>4 [2,6,5,8,7,4,1,3]=>[7,3,4,1,2,5,8,6]=>[1,2,4,1]=>11010001=>4 [3,4,6,8,5,2,1,7]=>[6,5,3,1,4,7,8,2]=>[1,1,1,4,1]=>11110001=>2 [1,7,8,4,3,6,5,2]=>[8,2,1,5,6,3,4,7]=>[1,1,3,3]=>11100100=>3 [1,7,8,3,6,5,4,2]=>[8,2,1,6,3,4,5,7]=>[1,1,2,4]=>11101000=>3 [6,4,5,8,7,2,1,3]=>[3,5,4,1,2,7,8,6]=>[2,1,4,1]=>10110001=>4 [5,8,1,7,2,4,3,6]=>[4,1,8,2,7,5,6,3]=>[1,2,2,2,1]=>11010101=>6 [5,3,4,6,8,1,2,7]=>[4,6,5,3,1,8,7,2]=>[2,1,1,2,1,1]=>10111011=>4 [3,6,4,5,8,1,2,7]=>[6,3,5,4,1,8,7,2]=>[1,2,1,2,1,1]=>11011011=>4 [6,4,1,3,7,5,2,8]=>[3,5,8,6,2,4,7,1]=>[3,1,3,1]=>10011001=>4 [5,7,1,6,4,3,2,8]=>[4,2,8,3,5,6,7,1]=>[1,2,4,1]=>11010001=>4 [5,8,1,6,4,2,3,7]=>[4,1,8,3,5,7,6,2]=>[1,2,3,1,1]=>11010011=>4 [1,4,8,7,2,5,3,6]=>[8,5,1,2,7,4,6,3]=>[1,1,3,2,1]=>11100101=>4 [6,8,1,7,2,4,3,5]=>[3,1,8,2,7,5,6,4]=>[1,2,2,2,1]=>11010101=>6 [2,7,6,8,4,1,3,5]=>[7,2,3,1,5,8,6,4]=>[1,2,3,1,1]=>11010011=>4 [6,5,8,3,2,4,1,7]=>[3,4,1,6,7,5,8,2]=>[2,3,2,1]=>10100101=>6 [6,5,2,3,8,7,4,1]=>[3,4,7,6,1,2,5,8]=>[3,1,4]=>10011000=>3 [1,5,6,2,3,8,7,4]=>[8,4,3,7,6,1,2,5]=>[1,1,2,1,3]=>11101100=>3 [7,1,4,5,2,6,3,8]=>[2,8,5,4,7,3,6,1]=>[2,1,2,2,1]=>10110101=>6 [6,4,1,5,3,7,8,2]=>[3,5,8,4,6,2,1,7]=>[3,2,1,2]=>10010110=>5 [8,3,5,2,1,6,7,4]=>[1,6,4,7,8,3,2,5]=>[2,3,1,2]=>10100110=>5 [5,6,8,3,4,7,1,2]=>[4,3,1,6,5,2,8,7]=>[1,1,2,1,2,1]=>11101101=>4 [5,7,8,2,3,4,6,1]=>[4,2,1,7,6,5,3,8]=>[1,1,2,1,1,2]=>11101110=>3 [5,7,2,8,3,4,1,6]=>[4,2,7,1,6,5,8,3]=>[1,2,2,2,1]=>11010101=>6 [3,7,4,5,8,6,1,2]=>[6,2,5,4,1,3,8,7]=>[1,2,1,3,1]=>11011001=>4 [6,4,2,7,8,1,5,3]=>[3,5,7,2,1,8,4,6]=>[3,1,2,2]=>10011010=>5 [2,5,1,6,3,8,7,4]=>[7,4,8,3,6,1,2,5]=>[1,2,2,3]=>11010100=>5 [3,5,2,7,6,8,1,4]=>[6,4,7,2,3,1,8,5]=>[1,2,2,2,1]=>11010101=>6 [3,6,2,7,5,8,1,4]=>[6,3,7,2,4,1,8,5]=>[1,2,2,2,1]=>11010101=>6 [3,6,4,7,1,8,2,5]=>[6,3,5,2,8,1,7,4]=>[1,2,2,2,1]=>11010101=>6 [2,6,3,7,1,8,4,5]=>[7,3,6,2,8,1,5,4]=>[1,2,2,2,1]=>11010101=>6 [2,6,1,7,3,8,5,4]=>[7,3,8,2,6,1,4,5]=>[1,2,2,3]=>11010100=>5 [2,6,4,7,1,8,5,3]=>[7,3,5,2,8,1,4,6]=>[1,2,2,3]=>11010100=>5 [2,5,1,7,6,8,4,3]=>[7,4,8,2,3,1,5,6]=>[1,2,2,3]=>11010100=>5 [2,6,5,7,4,8,1,3]=>[7,3,4,2,5,1,8,6]=>[1,2,2,2,1]=>11010101=>6 [2,6,4,7,1,8,3,5]=>[7,3,5,2,8,1,6,4]=>[1,2,2,2,1]=>11010101=>6 [2,6,4,7,3,8,1,5]=>[7,3,5,2,6,1,8,4]=>[1,2,2,2,1]=>11010101=>6 [1,6,5,7,3,8,2,4]=>[8,3,4,2,6,1,7,5]=>[1,2,2,2,1]=>11010101=>6 [1,8,2,4,5,6,3,7]=>[8,1,7,5,4,3,6,2]=>[1,2,1,1,2,1]=>11011101=>4 [1,8,5,3,7,6,2,4]=>[8,1,4,6,2,3,7,5]=>[1,3,3,1]=>11001001=>4 [1,8,5,7,6,4,2,3]=>[8,1,4,2,3,5,7,6]=>[1,2,4,1]=>11010001=>4 [1,8,3,7,4,2,6,5]=>[8,1,6,2,5,7,3,4]=>[1,2,3,2]=>11010010=>5 [6,1,4,2,7,3,5,8]=>[3,8,5,7,2,6,4,1]=>[2,2,2,1,1]=>10101011=>6 [6,5,1,3,7,4,2,8]=>[3,4,8,6,2,5,7,1]=>[3,1,3,1]=>10011001=>4 [7,1,8,2,4,3,5,6]=>[2,8,1,7,5,6,4,3]=>[2,2,2,1,1]=>10101011=>6 [7,6,1,8,3,4,2,5]=>[2,3,8,1,6,5,7,4]=>[3,2,2,1]=>10010101=>6 [6,4,2,3,8,7,5,1]=>[3,5,7,6,1,2,4,8]=>[3,1,4]=>10011000=>3 [5,1,3,2,7,6,4,8]=>[4,8,6,7,2,3,5,1]=>[2,2,3,1]=>10101001=>6 [5,1,3,2,8,7,6,4]=>[4,8,6,7,1,2,3,5]=>[2,2,4]=>10101000=>5 [5,1,3,2,8,6,4,7]=>[4,8,6,7,1,3,5,2]=>[2,2,3,1]=>10101001=>6 [6,5,1,3,8,4,2,7]=>[3,4,8,6,1,5,7,2]=>[3,1,3,1]=>10011001=>4 [6,1,4,2,7,8,3,5]=>[3,8,5,7,2,1,6,4]=>[2,2,1,2,1]=>10101101=>6 [6,5,1,3,7,8,4,2]=>[3,4,8,6,2,1,5,7]=>[3,1,1,3]=>10011100=>3 [4,1,3,2,6,5,7,8]=>[5,8,6,7,3,4,2,1]=>[2,2,2,1,1]=>10101011=>6 [4,1,3,2,7,8,6,5]=>[5,8,6,7,2,1,3,4]=>[2,2,1,3]=>10101100=>5 [5,6,8,2,4,7,1,3]=>[4,3,1,7,5,2,8,6]=>[1,1,2,1,2,1]=>11101101=>4 [5,6,7,1,4,8,2,3]=>[4,3,2,8,5,1,7,6]=>[1,1,2,1,2,1]=>11101101=>4 [4,1,3,2,7,6,5,8]=>[5,8,6,7,2,3,4,1]=>[2,2,3,1]=>10101001=>6 [4,1,3,2,7,5,6,8]=>[5,8,6,7,2,4,3,1]=>[2,2,2,1,1]=>10101011=>6 [6,7,4,2,3,8,5,1]=>[3,2,5,7,6,1,4,8]=>[1,3,1,3]=>11001100=>3 [5,6,1,4,7,3,2,8]=>[4,3,8,5,2,6,7,1]=>[1,2,1,3,1]=>11011001=>4 [5,8,6,1,4,7,3,2]=>[4,1,3,8,5,2,6,7]=>[1,3,1,3]=>11001100=>3 [5,8,7,3,2,4,6,1]=>[4,1,2,6,7,5,3,8]=>[1,4,1,2]=>11000110=>3 [4,1,3,2,6,7,5,8]=>[5,8,6,7,3,2,4,1]=>[2,2,1,2,1]=>10101101=>6 [4,1,3,2,5,8,7,6]=>[5,8,6,7,4,1,2,3]=>[2,2,1,3]=>10101100=>5 [4,1,3,2,5,8,6,7]=>[5,8,6,7,4,1,3,2]=>[2,2,1,2,1]=>10101101=>6 [5,1,3,2,6,8,4,7]=>[4,8,6,7,3,1,5,2]=>[2,2,1,2,1]=>10101101=>6 [5,7,1,4,6,8,2,3]=>[4,2,8,5,3,1,7,6]=>[1,2,1,1,2,1]=>11011101=>4 [4,1,3,2,5,6,8,7]=>[5,8,6,7,4,3,1,2]=>[2,2,1,1,2]=>10101110=>5 [6,1,4,8,3,7,5,2]=>[3,8,5,1,6,2,4,7]=>[2,1,2,3]=>10110100=>5 [7,8,2,3,6,4,1,5]=>[2,1,7,6,3,5,8,4]=>[1,2,1,3,1]=>11011001=>4 [6,7,4,3,2,8,1,5]=>[3,2,5,6,7,1,8,4]=>[1,4,2,1]=>11000101=>4 [2,4,1,7,5,6,3,8]=>[7,5,8,2,4,3,6,1]=>[1,2,2,2,1]=>11010101=>6 [6,5,1,3,2,7,8,4]=>[3,4,8,6,7,2,1,5]=>[3,2,1,2]=>10010110=>5 [4,1,3,5,2,8,7,6]=>[5,8,6,4,7,1,2,3]=>[2,1,2,3]=>10110100=>5 [4,5,8,6,3,7,1,2]=>[5,4,1,3,6,2,8,7]=>[1,1,3,2,1]=>11100101=>4 [3,2,4,6,8,1,7,5]=>[6,7,5,3,1,8,2,4]=>[2,1,1,2,2]=>10111010=>5 [2,4,7,8,5,1,6,3]=>[7,5,2,1,4,8,3,6]=>[1,1,1,3,2]=>11110010=>3 [1,3,2,5,8,4,7,6]=>[8,6,7,4,1,5,2,3]=>[1,2,1,2,2]=>11011010=>5 [2,1,3,5,8,4,7,6]=>[7,8,6,4,1,5,2,3]=>[2,1,1,2,2]=>10111010=>5 [1,4,3,7,6,2,8,5]=>[8,5,6,2,3,7,1,4]=>[1,2,3,2]=>11010010=>5 [1,4,2,7,6,3,8,5]=>[8,5,7,2,3,6,1,4]=>[1,2,3,2]=>11010010=>5 [1,5,4,2,7,3,8,6]=>[8,4,5,7,2,6,1,3]=>[1,3,2,2]=>11001010=>5 [3,6,5,1,7,8,2,4]=>[6,3,4,8,2,1,7,5]=>[1,3,1,2,1]=>11001101=>4 [1,6,2,5,7,3,8,4]=>[8,3,7,4,2,6,1,5]=>[1,2,1,2,2]=>11011010=>5 [1,4,7,8,2,6,3,5]=>[8,5,2,1,7,3,6,4]=>[1,1,1,2,2,1]=>11110101=>4 [1,2,7,6,8,5,3,4]=>[8,7,2,3,1,4,6,5]=>[1,1,2,3,1]=>11101001=>4 [2,4,6,1,7,8,5,3]=>[7,5,3,8,2,1,4,6]=>[1,1,2,1,3]=>11101100=>3 [1,4,3,8,2,5,7,6]=>[8,5,6,1,7,4,2,3]=>[1,2,2,1,2]=>11010110=>5 [1,5,7,3,6,4,2,8]=>[8,4,2,6,3,5,7,1]=>[1,1,2,3,1]=>11101001=>4 [1,6,7,2,4,8,3,5]=>[8,3,2,7,5,1,6,4]=>[1,1,2,1,2,1]=>11101101=>4 [3,7,2,8,4,1,5,6]=>[6,2,7,1,5,8,4,3]=>[1,2,3,1,1]=>11010011=>4 [5,1,4,6,3,8,2,7]=>[4,8,5,3,6,1,7,2]=>[2,1,2,2,1]=>10110101=>6 [5,4,3,6,2,8,1,7]=>[4,5,6,3,7,1,8,2]=>[3,2,2,1]=>10010101=>6 [2,6,3,5,8,1,4,7]=>[7,3,6,4,1,8,5,2]=>[1,2,1,2,1,1]=>11011011=>4 [2,7,1,6,8,4,3,5]=>[7,2,8,3,1,5,6,4]=>[1,2,1,3,1]=>11011001=>4 [7,2,6,4,1,8,3,5]=>[2,7,3,5,8,1,6,4]=>[2,3,2,1]=>10100101=>6 [3,6,1,5,8,2,7,4]=>[6,3,8,4,1,7,2,5]=>[1,2,1,2,2]=>11011010=>5 [5,3,4,1,7,8,6,2]=>[4,6,5,8,2,1,3,7]=>[2,2,1,3]=>10101100=>5 [4,7,6,5,8,2,3,1]=>[5,2,3,4,1,7,6,8]=>[1,3,2,2]=>11001010=>5 [5,3,4,7,8,6,2,1]=>[4,6,5,2,1,3,7,8]=>[2,1,1,4]=>10111000=>3 [2,3,8,4,5,6,1,7]=>[7,6,1,5,4,3,8,2]=>[1,1,2,1,2,1]=>11101101=>4 [2,3,8,4,5,7,1,6]=>[7,6,1,5,4,2,8,3]=>[1,1,2,1,2,1]=>11101101=>4 [4,3,5,7,2,1,8,6]=>[5,6,4,2,7,8,1,3]=>[2,1,3,2]=>10110010=>5 [4,3,5,7,2,8,6,1]=>[5,6,4,2,7,1,3,8]=>[2,1,2,3]=>10110100=>5 [2,3,8,4,7,1,5,6]=>[7,6,1,5,2,8,4,3]=>[1,1,2,2,1,1]=>11101011=>4 [3,4,1,7,6,5,8,2]=>[6,5,8,2,3,4,1,7]=>[1,2,3,2]=>11010010=>5 [4,1,8,3,2,6,5,7]=>[5,8,1,6,7,3,4,2]=>[2,3,2,1]=>10100101=>6 [4,3,7,5,1,6,8,2]=>[5,6,2,4,8,3,1,7]=>[2,3,1,2]=>10100110=>5 [6,1,3,8,2,4,5,7]=>[3,8,6,1,7,5,4,2]=>[2,1,2,1,1,1]=>10110111=>4 [8,2,7,4,3,5,1,6]=>[1,7,2,5,6,4,8,3]=>[2,3,2,1]=>10100101=>6 [5,7,2,8,3,1,4,6]=>[4,2,7,1,6,8,5,3]=>[1,2,3,1,1]=>11010011=>4 [5,8,4,1,3,7,2,6]=>[4,1,5,8,6,2,7,3]=>[1,3,1,2,1]=>11001101=>4 [7,2,4,6,5,8,3,1]=>[2,7,5,3,4,1,6,8]=>[2,1,2,3]=>10110100=>5 [5,8,4,1,7,3,2,6]=>[4,1,5,8,2,6,7,3]=>[1,3,3,1]=>11001001=>4 [6,2,3,5,8,4,7,1]=>[3,7,6,4,1,5,2,8]=>[2,1,1,2,2]=>10111010=>5 [3,4,2,1,6,8,5,7]=>[6,5,7,8,3,1,4,2]=>[1,3,1,2,1]=>11001101=>4 [5,7,2,8,4,3,1,6]=>[4,2,7,1,5,6,8,3]=>[1,2,4,1]=>11010001=>4 [3,4,7,1,5,6,2,8]=>[6,5,2,8,4,3,7,1]=>[1,1,2,1,2,1]=>11101101=>4 [5,8,6,4,7,3,2,1]=>[4,1,3,5,2,6,7,8]=>[1,3,4]=>11001000=>3 [8,5,2,3,1,6,7,4]=>[1,4,7,6,8,3,2,5]=>[3,2,1,2]=>10010110=>5 [2,8,6,3,5,1,7,4]=>[7,1,3,6,4,8,2,5]=>[1,3,2,2]=>11001010=>5 [8,3,2,6,4,1,7,5]=>[1,6,7,3,5,8,2,4]=>[3,3,2]=>10010010=>5 [8,3,5,1,4,6,7,2]=>[1,6,4,8,5,3,2,7]=>[2,2,1,1,2]=>10101110=>5 [3,8,6,2,5,4,7,1]=>[6,1,3,7,4,5,2,8]=>[1,3,2,2]=>11001010=>5 [8,1,7,4,2,5,3,6]=>[1,8,2,5,7,4,6,3]=>[2,3,2,1]=>10100101=>6 [8,3,2,5,1,4,7,6]=>[1,6,7,4,8,5,2,3]=>[3,2,1,2]=>10010110=>5 [8,4,5,1,2,6,7,3]=>[1,5,4,8,7,3,2,6]=>[2,2,1,1,2]=>10101110=>5 [8,1,5,2,4,6,7,3]=>[1,8,4,7,5,3,2,6]=>[2,2,1,1,2]=>10101110=>5 [5,2,6,4,1,3,8,7]=>[4,7,3,5,8,6,1,2]=>[2,3,1,2]=>10100110=>5 [7,1,3,5,2,8,6,4]=>[2,8,6,4,7,1,3,5]=>[2,1,2,3]=>10110100=>5 [8,6,4,7,1,3,5,2]=>[1,3,5,2,8,6,4,7]=>[3,2,1,2]=>10010110=>5 [5,8,6,2,1,4,7,3]=>[4,1,3,7,8,5,2,6]=>[1,4,1,2]=>11000110=>3 [8,5,3,1,4,6,2,7]=>[1,4,6,8,5,3,7,2]=>[4,1,2,1]=>10001101=>4 [6,8,4,3,2,1,7,5]=>[3,1,5,6,7,8,2,4]=>[1,5,2]=>11000010=>3 [2,1,8,5,4,3,7,6]=>[7,8,1,4,5,6,2,3]=>[2,4,2]=>10100010=>5 [7,1,6,4,8,5,3,2]=>[2,8,3,5,1,4,6,7]=>[2,2,4]=>10101000=>5 [6,2,8,5,4,1,3,7]=>[3,7,1,4,5,8,6,2]=>[2,4,1,1]=>10100011=>4 [6,4,8,5,3,2,7,1]=>[3,5,1,4,6,7,2,8]=>[2,4,2]=>10100010=>5 [3,6,1,8,5,4,2,7]=>[6,3,8,1,4,5,7,2]=>[1,2,4,1]=>11010001=>4 [4,7,8,5,3,2,6,1]=>[5,2,1,4,6,7,3,8]=>[1,1,4,2]=>11100010=>3 [7,4,2,6,3,8,5,1]=>[2,5,7,3,6,1,4,8]=>[3,2,3]=>10010100=>5 [4,8,5,6,2,7,1,3]=>[5,1,4,3,7,2,8,6]=>[1,2,2,2,1]=>11010101=>6 [4,5,8,6,2,7,1,3]=>[5,4,1,3,7,2,8,6]=>[1,1,3,2,1]=>11100101=>4 [7,5,6,3,2,8,4,1]=>[2,4,3,6,7,1,5,8]=>[2,3,3]=>10100100=>5 [4,8,6,5,7,3,1,2]=>[5,1,3,4,2,6,8,7]=>[1,3,3,1]=>11001001=>4 [5,3,2,8,6,7,1,4]=>[4,6,7,1,3,2,8,5]=>[3,2,2,1]=>10010101=>6 [8,5,4,6,2,7,1,3]=>[1,4,5,3,7,2,8,6]=>[3,2,2,1]=>10010101=>6 [8,4,7,5,6,3,1,2]=>[1,5,2,4,3,6,8,7]=>[2,2,3,1]=>10101001=>6 [4,6,8,5,7,3,1,2]=>[5,3,1,4,2,6,8,7]=>[1,1,2,3,1]=>11101001=>4 [6,8,5,4,7,2,3,1]=>[3,1,4,5,2,7,6,8]=>[1,3,2,2]=>11001010=>5 [2,6,7,1,8,5,4,3]=>[7,3,2,8,1,4,5,6]=>[1,1,2,4]=>11101000=>3 [3,4,8,1,2,6,5,7]=>[6,5,1,8,7,3,4,2]=>[1,1,2,1,2,1]=>11101101=>4 [2,7,3,5,6,1,4,8]=>[7,2,6,4,3,8,5,1]=>[1,2,1,2,1,1]=>11011011=>4 [5,2,4,7,8,1,3,6]=>[4,7,5,2,1,8,6,3]=>[2,1,1,2,1,1]=>10111011=>4 [4,8,5,6,1,2,7,3]=>[5,1,4,3,8,7,2,6]=>[1,2,2,1,2]=>11010110=>5 [2,5,6,8,7,1,4,3]=>[7,4,3,1,2,8,5,6]=>[1,1,1,3,2]=>11110010=>3 [4,6,8,1,5,2,7,3]=>[5,3,1,8,4,7,2,6]=>[1,1,2,2,2]=>11101010=>5 [6,3,1,4,5,8,7,2]=>[3,6,8,5,4,1,2,7]=>[3,1,1,3]=>10011100=>3 [6,1,2,5,3,8,7,4]=>[3,8,7,4,6,1,2,5]=>[2,1,2,3]=>10110100=>5 [6,8,7,1,5,2,4,3]=>[3,1,2,8,4,7,5,6]=>[1,3,2,2]=>11001010=>5 [5,3,8,1,2,6,7,4]=>[4,6,1,8,7,3,2,5]=>[2,2,1,1,2]=>10101110=>5 [2,8,5,3,7,6,4,1]=>[7,1,4,6,2,3,5,8]=>[1,3,4]=>11001000=>3 [1,6,4,2,7,8,5,3]=>[8,3,5,7,2,1,4,6]=>[1,3,1,3]=>11001100=>3 [5,1,2,4,6,7,3,8]=>[4,8,7,5,3,2,6,1]=>[2,1,1,1,2,1]=>10111101=>4 [5,1,3,6,7,2,4,8]=>[4,8,6,3,2,7,5,1]=>[2,1,1,2,1,1]=>10111011=>4 [8,3,1,7,4,6,5,2]=>[1,6,8,2,5,3,4,7]=>[3,2,3]=>10010100=>5 [8,2,3,6,4,1,7,5]=>[1,7,6,3,5,8,2,4]=>[2,1,3,2]=>10110010=>5 [2,3,7,5,8,6,1,4]=>[7,6,2,4,1,3,8,5]=>[1,1,2,3,1]=>11101001=>4 [3,8,5,1,2,4,7,6]=>[6,1,4,8,7,5,2,3]=>[1,3,1,1,2]=>11001110=>3 [3,4,7,5,2,8,6,1]=>[6,5,2,4,7,1,3,8]=>[1,1,3,3]=>11100100=>3 [1,3,6,4,8,2,7,5]=>[8,6,3,5,1,7,2,4]=>[1,1,2,2,2]=>11101010=>5 [6,8,1,5,3,4,7,2]=>[3,1,8,4,6,5,2,7]=>[1,2,2,1,2]=>11010110=>5 [8,6,1,2,3,7,5,4]=>[1,3,8,7,6,2,4,5]=>[3,1,1,3]=>10011100=>3 [6,8,4,5,1,3,7,2]=>[3,1,5,4,8,6,2,7]=>[1,2,2,1,2]=>11010110=>5 [7,3,8,1,6,2,5,4]=>[2,6,1,8,3,7,4,5]=>[2,2,2,2]=>10101010=>7 [2,6,7,3,4,1,5,8]=>[7,3,2,6,5,8,4,1]=>[1,1,2,2,1,1]=>11101011=>4 [2,7,6,3,4,1,5,8]=>[7,2,3,6,5,8,4,1]=>[1,3,2,1,1]=>11001011=>4 [5,1,3,7,4,2,6,8]=>[4,8,6,2,5,7,3,1]=>[2,1,3,1,1]=>10110011=>4 [6,2,7,3,4,1,5,8]=>[3,7,2,6,5,8,4,1]=>[2,2,2,1,1]=>10101011=>6 [1,6,8,3,2,4,5,7]=>[8,3,1,6,7,5,4,2]=>[1,1,3,1,1,1]=>11100111=>2 [2,5,3,8,1,4,6,7]=>[7,4,6,1,8,5,3,2]=>[1,2,2,1,1,1]=>11010111=>4 [2,5,3,1,8,4,6,7]=>[7,4,6,8,1,5,3,2]=>[1,3,2,1,1]=>11001011=>4 [9,6,5,4,3,2,1,7,8]=>[1,4,5,6,7,8,9,3,2]=>[7,1,1]=>100000011=>2 [8,5,3,2,6,4,7,1]=>[1,4,6,7,3,5,2,8]=>[4,2,2]=>10001010=>5 [7,4,6,5,8,2,3,1]=>[2,5,3,4,1,7,6,8]=>[2,2,2,2]=>10101010=>7 [7,3,6,4,8,2,5,1]=>[2,6,3,5,1,7,4,8]=>[2,2,2,2]=>10101010=>7 [7,3,6,8,4,5,1,2]=>[2,6,3,1,5,4,8,7]=>[2,1,2,2,1]=>10110101=>6 [1,6,5,7,4,2,8,3]=>[8,3,4,2,5,7,1,6]=>[1,2,3,2]=>11010010=>5 [1,2,7,4,8,5,6,3]=>[8,7,2,5,1,4,3,6]=>[1,1,2,2,2]=>11101010=>5 [7,2,5,6,3,8,4,1]=>[2,7,4,3,6,1,5,8]=>[2,1,2,3]=>10110100=>5 [1,6,7,4,8,5,2,3]=>[8,3,2,5,1,4,7,6]=>[1,1,2,3,1]=>11101001=>4 [2,6,7,4,8,5,1,3]=>[7,3,2,5,1,4,8,6]=>[1,1,2,3,1]=>11101001=>4 [4,7,8,5,1,3,6,2]=>[5,2,1,4,8,6,3,7]=>[1,1,3,1,2]=>11100110=>3 [1,4,8,2,5,3,6,7]=>[8,5,1,7,4,6,3,2]=>[1,1,2,2,1,1]=>11101011=>4 [1,5,3,6,2,8,4,7]=>[8,4,6,3,7,1,5,2]=>[1,2,2,2,1]=>11010101=>6 [4,6,1,3,7,2,8,5]=>[5,3,8,6,2,7,1,4]=>[1,2,1,2,2]=>11011010=>5 [2,6,3,4,8,5,1,7]=>[7,3,6,5,1,4,8,2]=>[1,2,1,3,1]=>11011001=>4 [1,6,3,4,8,5,2,7]=>[8,3,6,5,1,4,7,2]=>[1,2,1,3,1]=>11011001=>4 [1,7,3,4,8,5,6,2]=>[8,2,6,5,1,4,3,7]=>[1,2,1,2,2]=>11011010=>5 [3,2,7,5,8,4,6,1]=>[6,7,2,4,1,5,3,8]=>[2,2,2,2]=>10101010=>7 [2,5,8,6,4,3,7,1]=>[7,4,1,3,5,6,2,8]=>[1,1,4,2]=>11100010=>3 [6,4,2,5,7,1,8,3]=>[3,5,7,4,2,8,1,6]=>[3,1,2,2]=>10011010=>5 [9,1,2,3,4,5,8,7,6]=>[1,9,8,7,6,5,2,3,4]=>[2,1,1,1,1,3]=>101111100=>3 [8,1,4,7,3,5,6,2]=>[1,8,5,2,6,4,3,7]=>[2,1,2,1,2]=>10110110=>5 [8,3,7,2,4,5,6,1]=>[1,6,2,7,5,4,3,8]=>[2,2,1,1,2]=>10101110=>5 [8,1,4,5,7,3,6,2]=>[1,8,5,4,2,6,3,7]=>[2,1,1,2,2]=>10111010=>5 [6,8,4,5,3,7,2,1]=>[3,1,5,4,6,2,7,8]=>[1,2,2,3]=>11010100=>5 [7,5,4,6,2,8,3,1]=>[2,4,5,3,7,1,6,8]=>[3,2,3]=>10010100=>5 [6,8,4,5,3,2,7,1]=>[3,1,5,4,6,7,2,8]=>[1,2,3,2]=>11010010=>5 [6,7,5,4,2,8,3,1]=>[3,2,4,5,7,1,6,8]=>[1,4,3]=>11000100=>3 [5,7,6,4,8,2,3,1]=>[4,2,3,5,1,7,6,8]=>[1,3,2,2]=>11001010=>5 [5,6,3,4,2,8,7,1]=>[4,3,6,5,7,1,2,8]=>[1,2,2,3]=>11010100=>5 [7,2,4,6,5,8,1,3]=>[2,7,5,3,4,1,8,6]=>[2,1,2,2,1]=>10110101=>6 [6,3,5,4,7,8,1,2]=>[3,6,4,5,2,1,8,7]=>[2,2,1,2,1]=>10101101=>6 [2,5,6,4,1,3,8,7]=>[7,4,3,5,8,6,1,2]=>[1,1,3,1,2]=>11100110=>3 [4,6,1,3,5,7,2,8]=>[5,3,8,6,4,2,7,1]=>[1,2,1,1,2,1]=>11011101=>4 [3,4,6,2,5,1,8,7]=>[6,5,3,7,4,8,1,2]=>[1,1,2,2,2]=>11101010=>5 [4,5,3,2,1,8,6,7]=>[5,4,6,7,8,1,3,2]=>[1,4,2,1]=>11000101=>4 [3,6,5,8,1,7,4,2]=>[6,3,4,1,8,2,5,7]=>[1,2,2,3]=>11010100=>5 [4,1,6,8,5,2,3,7]=>[5,8,3,1,4,7,6,2]=>[2,1,3,1,1]=>10110011=>4 [4,5,2,8,6,7,1,3]=>[5,4,7,1,3,2,8,6]=>[1,2,2,2,1]=>11010101=>6 [4,5,2,8,6,7,3,1]=>[5,4,7,1,3,2,6,8]=>[1,2,2,3]=>11010100=>5 [3,5,8,6,2,4,7,1]=>[6,4,1,3,7,5,2,8]=>[1,1,3,1,2]=>11100110=>3 [2,5,1,6,4,8,3,7]=>[7,4,8,3,5,1,6,2]=>[1,2,2,2,1]=>11010101=>6 [4,5,2,1,3,8,6,7]=>[5,4,7,8,6,1,3,2]=>[1,3,1,2,1]=>11001101=>4 [4,2,3,6,8,5,1,7]=>[5,7,6,3,1,4,8,2]=>[2,1,1,3,1]=>10111001=>4 [3,4,5,8,6,1,7,2]=>[6,5,4,1,3,8,2,7]=>[1,1,1,3,2]=>11110010=>3 [3,4,5,8,6,1,2,7]=>[6,5,4,1,3,8,7,2]=>[1,1,1,3,1,1]=>11110011=>2 [6,8,5,2,4,7,1,3]=>[3,1,4,7,5,2,8,6]=>[1,3,1,2,1]=>11001101=>4 [6,4,1,3,7,8,2,5]=>[3,5,8,6,2,1,7,4]=>[3,1,1,2,1]=>10011101=>4 [8,3,7,6,1,5,2,4]=>[1,6,2,3,8,4,7,5]=>[2,3,2,1]=>10100101=>6 [6,3,1,2,5,4,8,7]=>[3,6,8,7,4,5,1,2]=>[3,1,2,2]=>10011010=>5 [7,3,1,2,5,4,8,6]=>[2,6,8,7,4,5,1,3]=>[3,1,2,2]=>10011010=>5 [8,2,6,4,1,3,7,5]=>[1,7,3,5,8,6,2,4]=>[2,3,1,2]=>10100110=>5 [1,5,8,2,4,3,7,6]=>[8,4,1,7,5,6,2,3]=>[1,1,2,2,2]=>11101010=>5 [1,4,8,2,5,3,7,6]=>[8,5,1,7,4,6,2,3]=>[1,1,2,2,2]=>11101010=>5 [3,2,6,4,1,5,8,7]=>[6,7,3,5,8,4,1,2]=>[2,3,1,2]=>10100110=>5 [3,2,7,4,1,5,8,6]=>[6,7,2,5,8,4,1,3]=>[2,3,1,2]=>10100110=>5 [4,2,7,3,1,5,8,6]=>[5,7,2,6,8,4,1,3]=>[2,3,1,2]=>10100110=>5 [6,2,7,3,1,4,8,5]=>[3,7,2,6,8,5,1,4]=>[2,3,1,2]=>10100110=>5 [8,3,7,4,1,2,6,5]=>[1,6,2,5,8,7,3,4]=>[2,3,1,2]=>10100110=>5 [4,3,7,8,2,6,5,1]=>[5,6,2,1,7,3,4,8]=>[2,1,2,3]=>10110100=>5 [3,8,5,1,2,6,7,4]=>[6,1,4,8,7,3,2,5]=>[1,3,1,1,2]=>11001110=>3 [5,4,7,8,3,6,1,2]=>[4,5,2,1,6,3,8,7]=>[2,1,2,2,1]=>10110101=>6 [6,8,1,3,2,5,7,4]=>[3,1,8,6,7,4,2,5]=>[1,2,2,1,2]=>11010110=>5 [1,8,7,3,2,4,5,6]=>[8,1,2,6,7,5,4,3]=>[1,4,1,1,1]=>11000111=>2 [8,6,2,7,3,4,1,5]=>[1,3,7,2,6,5,8,4]=>[3,2,2,1]=>10010101=>6 [8,6,2,7,3,4,5,1]=>[1,3,7,2,6,5,4,8]=>[3,2,1,2]=>10010110=>5 [5,6,3,2,8,7,1,4]=>[4,3,6,7,1,2,8,5]=>[1,3,3,1]=>11001001=>4 [5,1,6,7,8,3,2,4]=>[4,8,3,2,1,6,7,5]=>[2,1,1,3,1]=>10111001=>4 [1,5,6,7,4,2,3,8]=>[8,4,3,2,5,7,6,1]=>[1,1,1,3,1,1]=>11110011=>2 [5,1,6,7,3,4,2,8]=>[4,8,3,2,6,5,7,1]=>[2,1,2,2,1]=>10110101=>6 [8,6,1,7,3,4,5,2]=>[1,3,8,2,6,5,4,7]=>[3,2,1,2]=>10010110=>5 [6,8,5,1,7,4,2,3]=>[3,1,4,8,2,5,7,6]=>[1,3,3,1]=>11001001=>4 [8,4,2,3,5,7,6,1]=>[1,5,7,6,4,2,3,8]=>[3,1,1,3]=>10011100=>3 [4,8,5,2,3,1,6,7]=>[5,1,4,7,6,8,3,2]=>[1,3,2,1,1]=>11001011=>4 [5,4,8,3,1,2,6,7]=>[4,5,1,6,8,7,3,2]=>[2,3,1,1,1]=>10100111=>4 [8,4,7,3,2,5,6,1]=>[1,5,2,6,7,4,3,8]=>[2,3,1,2]=>10100110=>5 [6,8,5,1,7,3,4,2]=>[3,1,4,8,2,6,5,7]=>[1,3,2,2]=>11001010=>5 [6,2,7,3,8,1,4,5]=>[3,7,2,6,1,8,5,4]=>[2,2,2,1,1]=>10101011=>6 [8,4,2,6,7,1,5,3]=>[1,5,7,3,2,8,4,6]=>[3,1,2,2]=>10011010=>5 [4,6,7,5,1,8,2,3]=>[5,3,2,4,8,1,7,6]=>[1,1,3,2,1]=>11100101=>4 [3,5,2,6,8,7,4,1]=>[6,4,7,3,1,2,5,8]=>[1,2,1,4]=>11011000=>3 [7,3,6,8,4,1,2,5]=>[2,6,3,1,5,8,7,4]=>[2,1,3,1,1]=>10110011=>4 [6,4,2,3,7,5,8,1]=>[3,5,7,6,2,4,1,8]=>[3,1,2,2]=>10011010=>5 [6,3,7,5,1,2,8,4]=>[3,6,2,4,8,7,1,5]=>[2,3,1,2]=>10100110=>5 [6,2,3,8,7,4,5,1]=>[3,7,6,1,2,5,4,8]=>[2,1,3,2]=>10110010=>5 [7,1,2,8,4,6,5,3]=>[2,8,7,1,5,3,4,6]=>[2,1,2,3]=>10110100=>5 [3,5,8,1,2,7,6,4]=>[6,4,1,8,7,2,3,5]=>[1,1,2,1,3]=>11101100=>3 [1,4,3,6,8,5,2,7]=>[8,5,6,3,1,4,7,2]=>[1,2,1,3,1]=>11011001=>4 [6,8,3,5,4,7,2,1]=>[3,1,6,4,5,2,7,8]=>[1,2,2,3]=>11010100=>5 [8,2,7,6,4,1,3,5]=>[1,7,2,3,5,8,6,4]=>[2,4,1,1]=>10100011=>4 [8,5,7,1,4,2,6,3]=>[1,4,2,8,5,7,3,6]=>[2,2,2,2]=>10101010=>7 [4,8,2,5,6,3,7,1]=>[5,1,7,4,3,6,2,8]=>[1,2,1,2,2]=>11011010=>5 [8,1,5,7,4,6,2,3]=>[1,8,4,2,5,3,7,6]=>[2,1,2,2,1]=>10110101=>6 [4,7,1,5,6,3,2,8]=>[5,2,8,4,3,6,7,1]=>[1,2,1,3,1]=>11011001=>4 [4,5,7,1,6,3,8,2]=>[5,4,2,8,3,6,1,7]=>[1,1,2,2,2]=>11101010=>5 [2,7,1,4,8,3,6,5]=>[7,2,8,5,1,6,3,4]=>[1,2,1,2,2]=>11011010=>5 [2,7,1,5,6,8,4,3]=>[7,2,8,4,3,1,5,6]=>[1,2,1,1,3]=>11011100=>3 [2,3,1,8,7,4,6,5]=>[7,6,8,1,2,5,3,4]=>[1,2,3,2]=>11010010=>5 [4,6,8,2,1,5,3,7]=>[5,3,1,7,8,4,6,2]=>[1,1,3,2,1]=>11100101=>4 [5,6,8,4,7,2,3,1]=>[4,3,1,5,2,7,6,8]=>[1,1,2,2,2]=>11101010=>5 [4,5,7,3,6,1,2,8]=>[5,4,2,6,3,8,7,1]=>[1,1,2,2,1,1]=>11101011=>4 [4,5,8,2,6,1,7,3]=>[5,4,1,7,3,8,2,6]=>[1,1,2,2,2]=>11101010=>5 [3,4,5,7,2,1,6,8]=>[6,5,4,2,7,8,3,1]=>[1,1,1,3,1,1]=>11110011=>2 [4,5,6,8,3,2,7,1]=>[5,4,3,1,6,7,2,8]=>[1,1,1,3,2]=>11110010=>3 [4,5,7,2,6,1,8,3]=>[5,4,2,7,3,8,1,6]=>[1,1,2,2,2]=>11101010=>5 [4,6,5,7,2,3,8,1]=>[5,3,4,2,7,6,1,8]=>[1,2,2,1,2]=>11010110=>5 [3,6,7,2,5,8,4,1]=>[6,3,2,7,4,1,5,8]=>[1,1,2,1,3]=>11101100=>3 [5,3,6,7,4,8,1,2]=>[4,6,3,2,5,1,8,7]=>[2,1,2,2,1]=>10110101=>6 [4,2,7,8,3,6,5,1]=>[5,7,2,1,6,3,4,8]=>[2,1,2,3]=>10110100=>5 [4,2,7,8,5,6,1,3]=>[5,7,2,1,4,3,8,6]=>[2,1,2,2,1]=>10110101=>6 [5,4,3,7,8,1,6,2]=>[4,5,6,2,1,8,3,7]=>[3,1,2,2]=>10011010=>5 [3,5,7,8,4,2,1,6]=>[6,4,2,1,5,7,8,3]=>[1,1,1,4,1]=>11110001=>2 [4,6,7,3,2,8,1,5]=>[5,3,2,6,7,1,8,4]=>[1,1,3,2,1]=>11100101=>4 [5,6,2,4,7,8,3,1]=>[4,3,7,5,2,1,6,8]=>[1,2,1,1,3]=>11011100=>3 [5,6,3,2,8,4,7,1]=>[4,3,6,7,1,5,2,8]=>[1,3,2,2]=>11001010=>5 [5,6,2,8,3,4,7,1]=>[4,3,7,1,6,5,2,8]=>[1,2,2,1,2]=>11010110=>5 [3,7,4,8,1,6,5,2]=>[6,2,5,1,8,3,4,7]=>[1,2,2,3]=>11010100=>5 [5,2,6,4,8,7,3,1]=>[4,7,3,5,1,2,6,8]=>[2,2,4]=>10101000=>5 [3,4,5,6,8,9,1,7,2]=>[7,6,5,4,2,1,9,3,8]=>[1,1,1,1,1,2,2]=>111111010=>3 [3,4,5,7,8,9,1,6,2]=>[7,6,5,3,2,1,9,4,8]=>[1,1,1,1,1,2,2]=>111111010=>3 [4,5,6,7,8,9,1,3,2]=>[6,5,4,3,2,1,9,7,8]=>[1,1,1,1,1,2,2]=>111111010=>3 [3,4,2,5,8,1,7,6]=>[6,5,7,4,1,8,2,3]=>[1,2,1,2,2]=>11011010=>5 [5,2,6,7,8,1,4,3]=>[4,7,3,2,1,8,5,6]=>[2,1,1,2,2]=>10111010=>5 [3,2,4,7,8,1,6,5]=>[6,7,5,2,1,8,3,4]=>[2,1,1,2,2]=>10111010=>5 [2,5,3,1,7,8,4,6]=>[7,4,6,8,2,1,5,3]=>[1,3,1,2,1]=>11001101=>4 [4,8,1,6,5,2,3,7]=>[5,1,8,3,4,7,6,2]=>[1,2,3,1,1]=>11010011=>4 [4,5,7,6,2,3,1,8]=>[5,4,2,3,7,6,8,1]=>[1,1,3,2,1]=>11100101=>4 [4,8,2,7,5,3,1,6]=>[5,1,7,2,4,6,8,3]=>[1,2,4,1]=>11010001=>4 [2,4,7,6,5,1,8,3]=>[7,5,2,3,4,8,1,6]=>[1,1,4,2]=>11100010=>3 [1,2,4,6,5,8,3,7]=>[8,7,5,3,4,1,6,2]=>[1,1,1,2,2,1]=>11110101=>4 [2,8,7,1,6,4,3,5]=>[7,1,2,8,3,5,6,4]=>[1,3,3,1]=>11001001=>4 [1,3,7,8,6,4,5,2]=>[8,6,2,1,3,5,4,7]=>[1,1,1,3,2]=>11110010=>3 [4,8,5,6,3,1,2,7]=>[5,1,4,3,6,8,7,2]=>[1,2,3,1,1]=>11010011=>4 [5,4,2,3,1,7,8,6]=>[4,5,7,6,8,2,1,3]=>[3,2,1,2]=>10010110=>5 [2,5,1,7,6,3,4,8]=>[7,4,8,2,3,6,5,1]=>[1,2,3,1,1]=>11010011=>4 [4,3,1,5,2,6,7,8]=>[5,6,8,4,7,3,2,1]=>[3,2,1,1,1]=>10010111=>4 [3,5,2,1,4,7,8,6]=>[6,4,7,8,5,2,1,3]=>[1,3,1,1,2]=>11001110=>3 [6,2,5,1,8,7,4,3]=>[3,7,4,8,1,2,5,6]=>[2,2,4]=>10101000=>5 [3,5,8,1,7,4,2,6]=>[6,4,1,8,2,5,7,3]=>[1,1,2,3,1]=>11101001=>4 [5,7,1,2,4,8,3,6]=>[4,2,8,7,5,1,6,3]=>[1,2,1,1,2,1]=>11011101=>4 [5,7,8,1,2,3,6,4]=>[4,2,1,8,7,6,3,5]=>[1,1,2,1,1,2]=>11101110=>3 [7,5,1,4,3,8,2,6]=>[2,4,8,5,6,1,7,3]=>[3,2,2,1]=>10010101=>6 [6,7,8,3,5,2,4,1]=>[3,2,1,6,4,7,5,8]=>[1,1,2,2,2]=>11101010=>5 [1,3,7,8,4,2,5,6]=>[8,6,2,1,5,7,4,3]=>[1,1,1,3,1,1]=>11110011=>2 [4,7,8,3,6,1,2,5]=>[5,2,1,6,3,8,7,4]=>[1,1,2,2,1,1]=>11101011=>4 [5,1,4,3,7,6,8,2]=>[4,8,5,6,2,3,1,7]=>[2,2,2,2]=>10101010=>7 [5,8,6,1,7,2,3,4]=>[4,1,3,8,2,7,6,5]=>[1,3,2,1,1]=>11001011=>4 [4,8,3,7,2,6,5,1]=>[5,1,6,2,7,3,4,8]=>[1,2,2,3]=>11010100=>5 [5,8,2,6,3,4,7,1]=>[4,1,7,3,6,5,2,8]=>[1,2,2,1,2]=>11010110=>5 [5,1,4,3,8,2,6,7]=>[4,8,5,6,1,7,3,2]=>[2,2,2,1,1]=>10101011=>6 [4,2,8,7,3,6,5,1]=>[5,7,1,2,6,3,4,8]=>[2,3,3]=>10100100=>5 [3,7,8,6,1,4,5,2]=>[6,2,1,3,8,5,4,7]=>[1,1,3,1,2]=>11100110=>3 [4,6,7,8,2,1,5,3]=>[5,3,2,1,7,8,4,6]=>[1,1,1,3,2]=>11110010=>3 [4,7,6,3,8,1,5,2]=>[5,2,3,6,1,8,4,7]=>[1,3,2,2]=>11001010=>5 [3,7,1,4,8,2,5,6]=>[6,2,8,5,1,7,4,3]=>[1,2,1,2,1,1]=>11011011=>4 [3,8,1,4,6,2,5,7]=>[6,1,8,5,3,7,4,2]=>[1,2,1,2,1,1]=>11011011=>4 [5,8,4,6,3,2,1,7]=>[4,1,5,3,6,7,8,2]=>[1,2,4,1]=>11010001=>4 [1,8,3,4,6,2,7,5]=>[8,1,6,5,3,7,2,4]=>[1,2,1,2,2]=>11011010=>5 [2,3,5,6,8,7,1,4]=>[7,6,4,3,1,2,8,5]=>[1,1,1,1,3,1]=>11111001=>2 [2,4,5,3,8,7,1,6]=>[7,5,4,6,1,2,8,3]=>[1,1,2,3,1]=>11101001=>4 [1,3,5,2,6,8,7,4]=>[8,6,4,7,3,1,2,5]=>[1,1,2,1,3]=>11101100=>3 [4,7,5,6,2,8,1,3]=>[5,2,4,3,7,1,8,6]=>[1,2,2,2,1]=>11010101=>6 [2,3,5,8,4,7,1,6]=>[7,6,4,1,5,2,8,3]=>[1,1,1,2,2,1]=>11110101=>4 [6,7,4,8,5,2,1,3]=>[3,2,5,1,4,7,8,6]=>[1,2,4,1]=>11010001=>4 [8,7,5,1,6,3,2,4]=>[1,2,4,8,3,6,7,5]=>[4,3,1]=>10001001=>4 [2,8,4,6,7,3,5,1]=>[7,1,5,3,2,6,4,8]=>[1,2,1,2,2]=>11011010=>5 [4,1,6,7,8,2,5,3]=>[5,8,3,2,1,7,4,6]=>[2,1,1,2,2]=>10111010=>5 [8,6,3,4,1,2,7,5]=>[1,3,6,5,8,7,2,4]=>[3,2,1,2]=>10010110=>5 [2,5,8,4,6,1,3,7]=>[7,4,1,5,3,8,6,2]=>[1,1,2,2,1,1]=>11101011=>4 [4,7,8,6,5,1,3,2]=>[5,2,1,3,4,8,6,7]=>[1,1,4,2]=>11100010=>3 [8,5,7,3,6,2,1,4]=>[1,4,2,6,3,7,8,5]=>[2,2,3,1]=>10101001=>6 [8,4,6,7,3,5,2,1]=>[1,5,3,2,6,4,7,8]=>[2,1,2,3]=>10110100=>5 [7,8,4,6,3,5,2,1]=>[2,1,5,3,6,4,7,8]=>[1,2,2,3]=>11010100=>5 [5,8,4,6,7,3,2,1]=>[4,1,5,3,2,6,7,8]=>[1,2,1,4]=>11011000=>3 [6,8,4,7,3,5,2,1]=>[3,1,5,2,6,4,7,8]=>[1,2,2,3]=>11010100=>5 [7,4,5,8,3,6,2,1]=>[2,5,4,1,6,3,7,8]=>[2,1,2,3]=>10110100=>5 [8,4,7,3,5,6,2,1]=>[1,5,2,6,4,3,7,8]=>[2,2,1,3]=>10101100=>5 [4,5,8,7,3,2,6,1]=>[5,4,1,2,6,7,3,8]=>[1,1,4,2]=>11100010=>3 [3,6,4,2,8,1,7,5]=>[6,3,5,7,1,8,2,4]=>[1,3,2,2]=>11001010=>5 [2,1,6,5,3,4,7,8]=>[7,8,3,4,6,5,2,1]=>[2,3,1,1,1]=>10100111=>4 [4,2,6,5,3,7,8,1]=>[5,7,3,4,6,2,1,8]=>[2,3,1,2]=>10100110=>5 [6,1,7,3,5,8,4,2]=>[3,8,2,6,4,1,5,7]=>[2,2,1,3]=>10101100=>5 [5,7,1,3,6,8,4,2]=>[4,2,8,6,3,1,5,7]=>[1,2,1,1,3]=>11011100=>3 [6,7,2,3,5,4,1,8]=>[3,2,7,6,4,5,8,1]=>[1,2,1,3,1]=>11011001=>4 [6,7,8,3,5,4,1,2]=>[3,2,1,6,4,5,8,7]=>[1,1,2,3,1]=>11101001=>4 [5,8,7,3,6,4,1,2]=>[4,1,2,6,3,5,8,7]=>[1,3,3,1]=>11001001=>4 [2,5,7,3,6,4,1,8]=>[7,4,2,6,3,5,8,1]=>[1,1,2,3,1]=>11101001=>4 [5,2,1,7,8,6,4,3]=>[4,7,8,2,1,3,5,6]=>[3,1,4]=>10011000=>3 [4,5,1,7,6,8,3,2]=>[5,4,8,2,3,1,6,7]=>[1,2,2,3]=>11010100=>5 [8,3,4,7,6,5,1,2]=>[1,6,5,2,3,4,8,7]=>[2,1,4,1]=>10110001=>4 [8,2,4,7,6,1,5,3]=>[1,7,5,2,3,8,4,6]=>[2,1,3,2]=>10110010=>5 [8,3,2,4,1,6,7,5]=>[1,6,7,5,8,3,2,4]=>[3,2,1,2]=>10010110=>5 [6,8,7,4,2,3,1,5]=>[3,1,2,5,7,6,8,4]=>[1,4,2,1]=>11000101=>4 [3,1,8,7,4,2,5,6]=>[6,8,1,2,5,7,4,3]=>[2,4,1,1]=>10100011=>4 [3,4,8,6,2,1,7,5]=>[6,5,1,3,7,8,2,4]=>[1,1,4,2]=>11100010=>3 [8,4,6,2,1,7,3,5]=>[1,5,3,7,8,2,6,4]=>[2,3,2,1]=>10100101=>6 [2,7,3,1,6,8,4,5]=>[7,2,6,8,3,1,5,4]=>[1,3,1,2,1]=>11001101=>4 [7,2,4,3,1,8,6,5]=>[2,7,5,6,8,1,3,4]=>[2,3,3]=>10100100=>5 [4,3,1,2,7,5,8,6]=>[5,6,8,7,2,4,1,3]=>[3,1,2,2]=>10011010=>5 [7,4,3,1,2,5,8,6]=>[2,5,6,8,7,4,1,3]=>[4,1,1,2]=>10001110=>3 [3,8,6,2,1,7,4,5]=>[6,1,3,7,8,2,5,4]=>[1,4,2,1]=>11000101=>4 [8,1,7,6,2,5,4,3]=>[1,8,2,3,7,4,5,6]=>[2,3,3]=>10100100=>5 [8,5,4,3,7,6,1,2]=>[1,4,5,6,2,3,8,7]=>[4,3,1]=>10001001=>4 [4,8,1,3,6,7,5,2]=>[5,1,8,6,3,2,4,7]=>[1,2,1,1,3]=>11011100=>3 [3,5,8,6,1,7,4,2]=>[6,4,1,3,8,2,5,7]=>[1,1,3,3]=>11100100=>3 [8,1,4,7,5,2,6,3]=>[1,8,5,2,4,7,3,6]=>[2,1,3,2]=>10110010=>5 [1,4,8,6,7,3,5,2]=>[8,5,1,3,2,6,4,7]=>[1,1,2,2,2]=>11101010=>5 [4,1,6,7,8,5,3,2]=>[5,8,3,2,1,4,6,7]=>[2,1,1,4]=>10111000=>3 [5,6,7,1,3,4,8,2]=>[4,3,2,8,6,5,1,7]=>[1,1,2,1,1,2]=>11101110=>3 [4,6,1,5,7,2,3,8]=>[5,3,8,4,2,7,6,1]=>[1,2,1,2,1,1]=>11011011=>4 [4,2,7,6,3,8,5,1]=>[5,7,2,3,6,1,4,8]=>[2,3,3]=>10100100=>5 [5,8,3,7,6,1,2,4]=>[4,1,6,2,3,8,7,5]=>[1,2,3,1,1]=>11010011=>4 [6,8,7,3,5,4,1,2]=>[3,1,2,6,4,5,8,7]=>[1,3,3,1]=>11001001=>4 [4,5,8,3,7,1,6,2]=>[5,4,1,6,2,8,3,7]=>[1,1,2,2,2]=>11101010=>5 [4,7,1,6,5,2,3,8]=>[5,2,8,3,4,7,6,1]=>[1,2,3,1,1]=>11010011=>4 [6,7,2,4,5,1,3,8]=>[3,2,7,5,4,8,6,1]=>[1,2,1,2,1,1]=>11011011=>4 [7,1,3,4,2,6,5,8]=>[2,8,6,5,7,3,4,1]=>[2,1,2,2,1]=>10110101=>6 [8,6,2,1,5,3,7,4]=>[1,3,7,8,4,6,2,5]=>[4,2,2]=>10001010=>5 [1,2,8,9,7,6,5,4,3]=>[9,8,2,1,3,4,5,6,7]=>[1,1,1,6]=>111100000=>1 [1,7,6,5,4,3,2,8,9]=>[9,3,4,5,6,7,8,2,1]=>[1,6,1,1]=>110000011=>2 [1,2,8,7,6,5,4,3,9]=>[9,8,2,3,4,5,6,7,1]=>[1,1,6,1]=>111000001=>2 [4,8,5,3,2,7,1,6]=>[5,1,4,6,7,2,8,3]=>[1,4,2,1]=>11000101=>4 [5,4,8,1,3,7,2,6]=>[4,5,1,8,6,2,7,3]=>[2,2,1,2,1]=>10101101=>6 [7,4,5,3,1,8,6,2]=>[2,5,4,6,8,1,3,7]=>[2,3,3]=>10100100=>5 [5,6,8,7,2,4,3,1]=>[4,3,1,2,7,5,6,8]=>[1,1,3,3]=>11100100=>3 [5,7,8,6,4,2,3,1]=>[4,2,1,3,5,7,6,8]=>[1,1,4,2]=>11100010=>3 [6,8,7,5,1,3,2,4]=>[3,1,2,4,8,6,7,5]=>[1,4,2,1]=>11000101=>4 [3,8,2,6,7,5,1,4]=>[6,1,7,3,2,4,8,5]=>[1,2,1,3,1]=>11011001=>4 [4,7,6,3,8,2,5,1]=>[5,2,3,6,1,7,4,8]=>[1,3,2,2]=>11001010=>5 [5,7,6,8,3,2,4,1]=>[4,2,3,1,6,7,5,8]=>[1,2,3,2]=>11010010=>5 [7,6,4,2,8,1,5,3]=>[2,3,5,7,1,8,4,6]=>[4,2,2]=>10001010=>5 [7,3,4,8,6,1,2,5]=>[2,6,5,1,3,8,7,4]=>[2,1,3,1,1]=>10110011=>4 [7,4,3,8,6,1,2,5]=>[2,5,6,1,3,8,7,4]=>[3,3,1,1]=>10010011=>4 [1,7,5,3,6,8,2,4]=>[8,2,4,6,3,1,7,5]=>[1,3,1,2,1]=>11001101=>4 [3,6,4,8,7,1,2,5]=>[6,3,5,1,2,8,7,4]=>[1,2,3,1,1]=>11010011=>4 [2,7,4,8,1,6,3,5]=>[7,2,5,1,8,3,6,4]=>[1,2,2,2,1]=>11010101=>6 [5,7,4,6,8,2,3,1]=>[4,2,5,3,1,7,6,8]=>[1,2,1,2,2]=>11011010=>5 [4,6,5,7,8,2,3,1]=>[5,3,4,2,1,7,6,8]=>[1,2,1,2,2]=>11011010=>5 [5,3,1,6,7,8,2,4]=>[4,6,8,3,2,1,7,5]=>[3,1,1,2,1]=>10011101=>4 [7,3,1,5,6,8,2,4]=>[2,6,8,4,3,1,7,5]=>[3,1,1,2,1]=>10011101=>4 [3,4,7,8,6,1,2,5]=>[6,5,2,1,3,8,7,4]=>[1,1,1,3,1,1]=>11110011=>2 [2,1,5,7,6,8,3,4]=>[7,8,4,2,3,1,6,5]=>[2,1,2,2,1]=>10110101=>6 [3,5,7,6,8,1,2,4]=>[6,4,2,3,1,8,7,5]=>[1,1,2,2,1,1]=>11101011=>4 [2,4,5,8,1,6,3,7]=>[7,5,4,1,8,3,6,2]=>[1,1,1,2,2,1]=>11110101=>4 [1,8,7,5,2,6,4,3]=>[8,1,2,4,7,3,5,6]=>[1,4,3]=>11000100=>3 [4,3,5,8,1,6,2,7]=>[5,6,4,1,8,3,7,2]=>[2,1,2,2,1]=>10110101=>6 [1,8,5,6,4,2,3,7]=>[8,1,4,3,5,7,6,2]=>[1,2,3,1,1]=>11010011=>4 [6,7,1,8,2,4,3,5]=>[3,2,8,1,7,5,6,4]=>[1,2,2,2,1]=>11010101=>6 [2,4,5,3,8,1,6,7]=>[7,5,4,6,1,8,3,2]=>[1,1,2,2,1,1]=>11101011=>4 [2,6,8,3,7,5,4,1]=>[7,3,1,6,2,4,5,8]=>[1,1,2,4]=>11101000=>3 [3,5,8,1,6,7,4,2]=>[6,4,1,8,3,2,5,7]=>[1,1,2,1,3]=>11101100=>3 [1,8,7,6,2,4,5,3]=>[8,1,2,3,7,5,4,6]=>[1,4,1,2]=>11000110=>3 [3,4,2,5,8,1,6,7]=>[6,5,7,4,1,8,3,2]=>[1,2,1,2,1,1]=>11011011=>4 [6,4,8,5,7,3,1,2]=>[3,5,1,4,2,6,8,7]=>[2,2,3,1]=>10101001=>6 [6,2,4,7,1,5,8,3]=>[3,7,5,2,8,4,1,6]=>[2,1,2,1,2]=>10110110=>5 [1,6,4,7,2,5,8,3]=>[8,3,5,2,7,4,1,6]=>[1,2,2,1,2]=>11010110=>5 [2,7,5,1,8,6,3,4]=>[7,2,4,8,1,3,6,5]=>[1,3,3,1]=>11001001=>4 [6,8,1,3,2,4,7,5]=>[3,1,8,6,7,5,2,4]=>[1,2,2,1,2]=>11010110=>5 [8,5,1,3,4,2,7,6]=>[1,4,8,6,5,7,2,3]=>[3,1,2,2]=>10011010=>5 [8,3,4,5,1,7,6,2]=>[1,6,5,4,8,2,3,7]=>[2,1,2,3]=>10110100=>5 [4,7,1,6,5,3,8,2]=>[5,2,8,3,4,6,1,7]=>[1,2,3,2]=>11010010=>5 [8,2,1,4,5,3,6,7]=>[1,7,8,5,4,6,3,2]=>[3,1,2,1,1]=>10011011=>4 [8,4,1,5,3,6,2,7]=>[1,5,8,4,6,3,7,2]=>[3,2,2,1]=>10010101=>6 [4,1,5,6,3,7,8,2]=>[5,8,4,3,6,2,1,7]=>[2,1,2,1,2]=>10110110=>5 [5,6,1,7,4,8,3,2]=>[4,3,8,2,5,1,6,7]=>[1,2,2,3]=>11010100=>5 [1,7,5,6,4,8,2,3]=>[8,2,4,3,5,1,7,6]=>[1,2,2,2,1]=>11010101=>6 [2,4,8,5,7,3,1,6]=>[7,5,1,4,2,6,8,3]=>[1,1,2,3,1]=>11101001=>4 [4,3,6,7,1,2,8,5]=>[5,6,3,2,8,7,1,4]=>[2,1,2,1,2]=>10110110=>5 [8,3,1,4,6,2,7,5]=>[1,6,8,5,3,7,2,4]=>[3,1,2,2]=>10011010=>5 [2,5,8,6,3,7,1,4]=>[7,4,1,3,6,2,8,5]=>[1,1,3,2,1]=>11100101=>4 [2,5,7,3,4,6,1,8]=>[7,4,2,6,5,3,8,1]=>[1,1,2,1,2,1]=>11101101=>4 [2,5,4,8,1,3,6,7]=>[7,4,5,1,8,6,3,2]=>[1,2,2,1,1,1]=>11010111=>4 [7,2,5,3,1,6,8,4]=>[2,7,4,6,8,3,1,5]=>[2,3,1,2]=>10100110=>5 [8,3,6,1,2,7,5,4]=>[1,6,3,8,7,2,4,5]=>[2,2,1,3]=>10101100=>5 [6,3,1,7,2,8,4,5]=>[3,6,8,2,7,1,5,4]=>[3,2,2,1]=>10010101=>6 [2,3,5,4,7,8,1,6]=>[7,6,4,5,2,1,8,3]=>[1,1,2,1,2,1]=>11101101=>4 [4,3,5,2,7,8,1,6]=>[5,6,4,7,2,1,8,3]=>[2,2,1,2,1]=>10101101=>6 [7,2,6,4,5,8,1,3]=>[2,7,3,5,4,1,8,6]=>[2,2,1,2,1]=>10101101=>6 [5,4,2,3,7,8,1,6]=>[4,5,7,6,2,1,8,3]=>[3,1,1,2,1]=>10011101=>4 [2,1,4,7,6,8,3,5]=>[7,8,5,2,3,1,6,4]=>[2,1,2,2,1]=>10110101=>6 [4,1,2,7,6,8,3,5]=>[5,8,7,2,3,1,6,4]=>[2,1,2,2,1]=>10110101=>6 [7,2,6,5,4,8,1,3]=>[2,7,3,4,5,1,8,6]=>[2,3,2,1]=>10100101=>6 [4,5,2,3,7,8,1,6]=>[5,4,7,6,2,1,8,3]=>[1,2,1,1,2,1]=>11011101=>4 [5,3,4,2,7,8,1,6]=>[4,6,5,7,2,1,8,3]=>[2,2,1,2,1]=>10101101=>6 [6,4,5,7,3,8,2,9,1]=>[4,6,5,3,7,2,8,1,9]=>[2,1,2,2,2]=>101101010=>7 [5,3,4,6,1,8,2,7]=>[4,6,5,3,8,1,7,2]=>[2,1,2,2,1]=>10110101=>6 [4,7,8,5,1,2,6,3]=>[5,2,1,4,8,7,3,6]=>[1,1,3,1,2]=>11100110=>3 [4,1,6,8,7,2,5,3]=>[5,8,3,1,2,7,4,6]=>[2,1,3,2]=>10110010=>5 [7,3,4,8,6,5,2,1]=>[2,6,5,1,3,4,7,8]=>[2,1,5]=>10110000=>3 [2,3,5,8,4,1,7,6]=>[7,6,4,1,5,8,2,3]=>[1,1,1,3,2]=>11110010=>3 [7,2,4,1,3,8,6,5]=>[2,7,5,8,6,1,3,4]=>[2,2,1,3]=>10101100=>5 [6,1,3,5,2,8,7,4]=>[3,8,6,4,7,1,2,5]=>[2,1,2,3]=>10110100=>5 [2,7,1,5,3,8,6,4]=>[7,2,8,4,6,1,3,5]=>[1,2,2,3]=>11010100=>5 [7,4,6,5,2,3,1,8]=>[2,5,3,4,7,6,8,1]=>[2,3,2,1]=>10100101=>6 [3,5,7,2,8,4,1,6]=>[6,4,2,7,1,5,8,3]=>[1,1,2,3,1]=>11101001=>4 [2,4,3,8,5,1,7,6]=>[7,5,6,1,4,8,2,3]=>[1,2,3,2]=>11010010=>5 [7,4,8,2,3,1,6,5]=>[2,5,1,7,6,8,3,4]=>[2,2,2,2]=>10101010=>7 [7,3,2,1,4,8,6,5]=>[2,6,7,8,5,1,3,4]=>[4,1,3]=>10001100=>3 [4,2,7,3,5,1,8,6]=>[5,7,2,6,4,8,1,3]=>[2,2,2,2]=>10101010=>7 [7,2,6,1,8,4,5,3]=>[2,7,3,8,1,5,4,6]=>[2,2,2,2]=>10101010=>7 [6,1,7,2,4,8,5,3]=>[3,8,2,7,5,1,4,6]=>[2,2,1,3]=>10101100=>5 [2,6,7,1,4,5,8,3]=>[7,3,2,8,5,4,1,6]=>[1,1,2,1,1,2]=>11101110=>3 [7,3,4,6,2,5,8,1]=>[2,6,5,3,7,4,1,8]=>[2,1,2,1,2]=>10110110=>5 [5,7,1,6,8,3,4,2]=>[4,2,8,3,1,6,5,7]=>[1,2,1,2,2]=>11011010=>5 [1,6,7,3,5,8,4,2]=>[8,3,2,6,4,1,5,7]=>[1,1,2,1,3]=>11101100=>3 [8,7,1,6,3,5,2,4]=>[1,2,8,3,6,4,7,5]=>[3,2,2,1]=>10010101=>6 [8,7,2,3,6,5,1,4]=>[1,2,7,6,3,4,8,5]=>[3,1,3,1]=>10011001=>4 [2,8,1,5,7,6,4,3]=>[7,1,8,4,2,3,5,6]=>[1,2,1,4]=>11011000=>3 [8,1,2,5,7,6,4,3]=>[1,8,7,4,2,3,5,6]=>[2,1,1,4]=>10111000=>3 [8,7,2,6,1,3,5,4]=>[1,2,7,3,8,6,4,5]=>[3,2,1,2]=>10010110=>5 [8,7,2,6,1,5,3,4]=>[1,2,7,3,8,4,6,5]=>[3,2,2,1]=>10010101=>6 [7,1,2,5,8,6,4,3]=>[2,8,7,4,1,3,5,6]=>[2,1,1,4]=>10111000=>3 [7,1,3,8,2,6,4,5]=>[2,8,6,1,7,3,5,4]=>[2,1,2,2,1]=>10110101=>6 [2,5,8,3,6,7,1,4]=>[7,4,1,6,3,2,8,5]=>[1,1,2,1,2,1]=>11101101=>4 [2,6,8,5,4,7,1,3]=>[7,3,1,4,5,2,8,6]=>[1,1,3,2,1]=>11100101=>4 [2,4,7,6,1,3,8,5]=>[7,5,2,3,8,6,1,4]=>[1,1,3,1,2]=>11100110=>3 [5,2,6,7,1,4,3,8]=>[4,7,3,2,8,5,6,1]=>[2,1,2,2,1]=>10110101=>6 [2,4,1,5,7,6,3,8]=>[7,5,8,4,2,3,6,1]=>[1,2,1,3,1]=>11011001=>4 [6,2,5,3,4,7,1,8]=>[3,7,4,6,5,2,8,1]=>[2,2,1,2,1]=>10101101=>6 [6,4,8,3,1,5,2,7]=>[3,5,1,6,8,4,7,2]=>[2,3,2,1]=>10100101=>6 [2,7,3,4,1,5,8,6]=>[7,2,6,5,8,4,1,3]=>[1,2,2,1,2]=>11010110=>5 [7,3,1,6,2,5,8,4]=>[2,6,8,3,7,4,1,5]=>[3,2,1,2]=>10010110=>5 [1,8,4,3,5,2,6,7]=>[8,1,5,6,4,7,3,2]=>[1,3,2,1,1]=>11001011=>4 [2,5,8,1,6,7,3,4]=>[7,4,1,8,3,2,6,5]=>[1,1,2,1,2,1]=>11101101=>4 [4,1,7,2,5,6,3,8]=>[5,8,2,7,4,3,6,1]=>[2,2,1,2,1]=>10101101=>6 [1,7,2,6,5,3,4,8]=>[8,2,7,3,4,6,5,1]=>[1,2,3,1,1]=>11010011=>4 [2,6,1,7,4,3,5,8]=>[7,3,8,2,5,6,4,1]=>[1,2,3,1,1]=>11010011=>4 [4,2,6,8,3,5,1,7]=>[5,7,3,1,6,4,8,2]=>[2,1,2,2,1]=>10110101=>6 [6,3,8,5,4,1,7,2]=>[3,6,1,4,5,8,2,7]=>[2,4,2]=>10100010=>5 [6,2,8,3,4,5,1,7]=>[3,7,1,6,5,4,8,2]=>[2,2,1,2,1]=>10101101=>6 [5,8,6,2,4,3,1,7]=>[4,1,3,7,5,6,8,2]=>[1,3,3,1]=>11001001=>4 [3,8,2,6,4,5,1,7]=>[6,1,7,3,5,4,8,2]=>[1,2,2,2,1]=>11010101=>6 [2,8,3,4,6,5,1,7]=>[7,1,6,5,3,4,8,2]=>[1,2,1,3,1]=>11011001=>4 [3,6,8,7,4,1,5,2]=>[6,3,1,2,5,8,4,7]=>[1,1,4,2]=>11100010=>3 [7,1,5,8,2,4,3,6]=>[2,8,4,1,7,5,6,3]=>[2,1,2,2,1]=>10110101=>6 [1,7,5,6,2,4,3,8]=>[8,2,4,3,7,5,6,1]=>[1,2,2,2,1]=>11010101=>6 [4,7,3,5,1,6,8,2]=>[5,2,6,4,8,3,1,7]=>[1,2,2,1,2]=>11010110=>5 [3,6,1,8,2,5,7,4]=>[6,3,8,1,7,4,2,5]=>[1,2,2,1,2]=>11010110=>5 [7,2,1,8,5,3,6,4]=>[2,7,8,1,4,6,3,5]=>[3,3,2]=>10010010=>5 [7,3,4,6,8,2,1,5]=>[2,6,5,3,1,7,8,4]=>[2,1,1,3,1]=>10111001=>4 [5,1,3,7,2,8,4,6]=>[4,8,6,2,7,1,5,3]=>[2,1,2,2,1]=>10110101=>6 [5,2,4,6,1,7,8,3]=>[4,7,5,3,8,2,1,6]=>[2,1,2,1,2]=>10110110=>5 [3,8,4,6,1,5,7,2]=>[6,1,5,3,8,4,2,7]=>[1,2,2,1,2]=>11010110=>5 [8,7,3,2,5,1,6,4]=>[1,2,6,7,4,8,3,5]=>[4,2,2]=>10001010=>5 [3,6,4,1,2,5,8,7]=>[6,3,5,8,7,4,1,2]=>[1,3,1,1,2]=>11001110=>3 [5,2,7,1,4,3,6,8]=>[4,7,2,8,5,6,3,1]=>[2,2,2,1,1]=>10101011=>6 [6,3,1,4,2,5,8,7]=>[3,6,8,5,7,4,1,2]=>[3,2,1,2]=>10010110=>5 [5,2,3,1,4,6,8,7]=>[4,7,6,8,5,3,1,2]=>[2,2,1,1,2]=>10101110=>5 [4,2,7,1,3,5,8,6]=>[5,7,2,8,6,4,1,3]=>[2,2,1,1,2]=>10101110=>5 [3,5,4,1,6,2,8,7]=>[6,4,5,8,3,7,1,2]=>[1,3,2,2]=>11001010=>5 [4,5,7,2,8,3,1,6]=>[5,4,2,7,1,6,8,3]=>[1,1,2,3,1]=>11101001=>4 [3,5,1,7,6,2,8,4]=>[6,4,8,2,3,7,1,5]=>[1,2,3,2]=>11010010=>5 [4,6,7,3,1,8,2,5]=>[5,3,2,6,8,1,7,4]=>[1,1,3,2,1]=>11100101=>4 [8,3,6,2,7,5,4,1]=>[1,6,3,7,2,4,5,8]=>[2,2,4]=>10101000=>5 [5,4,2,7,1,8,6,3]=>[4,5,7,2,8,1,3,6]=>[3,2,3]=>10010100=>5 [4,1,7,6,5,3,2,8]=>[5,8,2,3,4,6,7,1]=>[2,5,1]=>10100001=>4 [2,3,6,7,1,8,5,4]=>[7,6,3,2,8,1,4,5]=>[1,1,1,2,3]=>11110100=>3 [3,6,1,2,7,8,5,4]=>[6,3,8,7,2,1,4,5]=>[1,2,1,1,3]=>11011100=>3 [4,5,1,8,7,6,3,2]=>[5,4,8,1,2,3,6,7]=>[1,2,5]=>11010000=>3 [4,1,3,6,7,5,2,8]=>[5,8,6,3,2,4,7,1]=>[2,1,1,3,1]=>10111001=>4 [3,1,4,5,7,6,2,8]=>[6,8,5,4,2,3,7,1]=>[2,1,1,3,1]=>10111001=>4 [4,5,1,3,6,8,7,2]=>[5,4,8,6,3,1,2,7]=>[1,2,1,1,3]=>11011100=>3 [3,8,5,1,2,4,6,7]=>[6,1,4,8,7,5,3,2]=>[1,3,1,1,1,1]=>11001111=>2 [8,5,1,2,4,3,6,7]=>[1,4,8,7,5,6,3,2]=>[3,1,2,1,1]=>10011011=>4 [5,8,4,1,2,3,6,7]=>[4,1,5,8,7,6,3,2]=>[1,3,1,1,1,1]=>11001111=>2 [2,8,5,7,1,4,3,6]=>[7,1,4,2,8,5,6,3]=>[1,2,2,2,1]=>11010101=>6 [4,8,7,5,1,2,3,6]=>[5,1,2,4,8,7,6,3]=>[1,4,1,1,1]=>11000111=>2 [6,1,2,7,8,4,3,5]=>[3,8,7,2,1,5,6,4]=>[2,1,1,3,1]=>10111001=>4 [7,8,1,2,5,3,4,6]=>[2,1,8,7,4,6,5,3]=>[1,2,1,2,1,1]=>11011011=>4 [8,4,7,2,1,6,3,5]=>[1,5,2,7,8,3,6,4]=>[2,3,2,1]=>10100101=>6 [4,5,8,2,1,6,7,3]=>[5,4,1,7,8,3,2,6]=>[1,1,3,1,2]=>11100110=>3 [7,4,2,5,3,6,1,8]=>[2,5,7,4,6,3,8,1]=>[3,2,2,1]=>10010101=>6 [3,1,6,7,5,2,4,8]=>[6,8,3,2,4,7,5,1]=>[2,1,3,1,1]=>10110011=>4 [8,4,2,5,3,6,7,1]=>[1,5,7,4,6,3,2,8]=>[3,2,1,2]=>10010110=>5 [4,8,1,5,3,6,7,2]=>[5,1,8,4,6,3,2,7]=>[1,2,2,1,2]=>11010110=>5 [4,1,7,5,2,6,3,8]=>[5,8,2,4,7,3,6,1]=>[2,3,2,1]=>10100101=>6 [7,1,5,3,6,8,2,4]=>[2,8,4,6,3,1,7,5]=>[2,2,1,2,1]=>10101101=>6 [8,1,5,3,6,7,2,4]=>[1,8,4,6,3,2,7,5]=>[2,2,1,2,1]=>10101101=>6 [1,7,5,4,6,8,2,3]=>[8,2,4,5,3,1,7,6]=>[1,3,1,2,1]=>11001101=>4 [4,7,8,2,5,6,1,3]=>[5,2,1,7,4,3,8,6]=>[1,1,2,1,2,1]=>11101101=>4 [9,8,1,7,2,3,4,5,6]=>[1,2,9,3,8,7,6,5,4]=>[3,2,1,1,1,1]=>100101111=>4 [4,5,2,6,1,8,3,7]=>[5,4,7,3,8,1,6,2]=>[1,2,2,2,1]=>11010101=>6 [7,1,5,6,8,3,4,2]=>[2,8,4,3,1,6,5,7]=>[2,1,1,2,2]=>10111010=>5 [5,1,8,6,7,3,4,2]=>[4,8,1,3,2,6,5,7]=>[2,2,2,2]=>10101010=>7 [8,4,5,2,6,7,1,3]=>[1,5,4,7,3,2,8,6]=>[2,2,1,2,1]=>10101101=>6 [1,8,6,5,7,4,2,3]=>[8,1,3,4,2,5,7,6]=>[1,3,3,1]=>11001001=>4 [6,8,5,3,7,4,1,2]=>[3,1,4,6,2,5,8,7]=>[1,3,3,1]=>11001001=>4 [6,3,2,4,1,7,5,8]=>[3,6,7,5,8,2,4,1]=>[3,2,2,1]=>10010101=>6 [6,3,2,4,1,5,8,7]=>[3,6,7,5,8,4,1,2]=>[3,2,1,2]=>10010110=>5 [8,5,3,2,1,7,4,6]=>[1,4,6,7,8,2,5,3]=>[5,2,1]=>10000101=>4 [6,8,3,2,4,1,5,7]=>[3,1,6,7,5,8,4,2]=>[1,3,2,1,1]=>11001011=>4 [7,3,2,4,1,5,8,6]=>[2,6,7,5,8,4,1,3]=>[3,2,1,2]=>10010110=>5 [8,7,3,5,6,4,1,2]=>[1,2,6,4,3,5,8,7]=>[3,1,3,1]=>10011001=>4 [6,5,2,4,1,7,8,3]=>[3,4,7,5,8,2,1,6]=>[3,2,1,2]=>10010110=>5 [2,6,1,7,5,4,8,3]=>[7,3,8,2,4,5,1,6]=>[1,2,3,2]=>11010010=>5 [5,4,3,1,7,2,6,8]=>[4,5,6,8,2,7,3,1]=>[4,2,1,1]=>10001011=>4 [5,4,8,2,1,3,6,7]=>[4,5,1,7,8,6,3,2]=>[2,3,1,1,1]=>10100111=>4 [7,2,8,3,1,4,5,6]=>[2,7,1,6,8,5,4,3]=>[2,3,1,1,1]=>10100111=>4 [2,8,1,7,4,3,5,6]=>[7,1,8,2,5,6,4,3]=>[1,2,3,1,1]=>11010011=>4 [8,1,3,2,7,5,4,6]=>[1,8,6,7,2,4,5,3]=>[2,2,3,1]=>10101001=>6 [8,7,5,4,6,3,2,9,1]=>[2,3,5,6,4,7,8,1,9]=>[4,3,2]=>100010010=>5 [7,2,4,6,3,1,8,5]=>[2,7,5,3,6,8,1,4]=>[2,1,3,2]=>10110010=>5 [7,4,3,6,5,1,2,8]=>[2,5,6,3,4,8,7,1]=>[3,3,1,1]=>10010011=>4 [7,6,1,8,2,5,4,3]=>[2,3,8,1,7,4,5,6]=>[3,2,3]=>10010100=>5 [4,6,1,7,2,5,8,3]=>[5,3,8,2,7,4,1,6]=>[1,2,2,1,2]=>11010110=>5 [8,4,1,6,7,3,5,2]=>[1,5,8,3,2,6,4,7]=>[3,1,2,2]=>10011010=>5 [4,8,2,3,7,1,5,6]=>[5,1,7,6,2,8,4,3]=>[1,2,1,2,1,1]=>11011011=>4 [3,1,7,8,6,5,4,2]=>[6,8,2,1,3,4,5,7]=>[2,1,5]=>10110000=>3 [5,8,4,2,1,6,3,7]=>[4,1,5,7,8,3,6,2]=>[1,4,2,1]=>11000101=>4 [8,6,7,1,2,5,4,3]=>[1,3,2,8,7,4,5,6]=>[2,2,1,3]=>10101100=>5 [6,7,4,1,2,8,5,3]=>[3,2,5,8,7,1,4,6]=>[1,3,1,3]=>11001100=>3 [4,6,7,8,2,5,1,3]=>[5,3,2,1,7,4,8,6]=>[1,1,1,2,2,1]=>11110101=>4 [7,6,4,1,2,5,3,8]=>[2,3,5,8,7,4,6,1]=>[4,1,2,1]=>10001101=>4 [7,6,3,8,2,5,4,1]=>[2,3,6,1,7,4,5,8]=>[3,2,3]=>10010100=>5 [6,5,7,1,3,2,4,8]=>[3,4,2,8,6,7,5,1]=>[2,2,2,1,1]=>10101011=>6 [8,7,2,6,4,5,3,1]=>[1,2,7,3,5,4,6,8]=>[3,2,3]=>10010100=>5 [2,6,1,7,4,5,3,8]=>[7,3,8,2,5,4,6,1]=>[1,2,2,2,1]=>11010101=>6 [6,3,1,7,4,5,2,8]=>[3,6,8,2,5,4,7,1]=>[3,2,2,1]=>10010101=>6 [7,2,8,4,3,6,1,5]=>[2,7,1,5,6,3,8,4]=>[2,3,2,1]=>10100101=>6 [2,7,8,6,4,5,1,3]=>[7,2,1,3,5,4,8,6]=>[1,1,3,2,1]=>11100101=>4 [1,6,3,5,8,2,7,4]=>[8,3,6,4,1,7,2,5]=>[1,2,1,2,2]=>11011010=>5 [1,7,5,4,8,6,2,3]=>[8,2,4,5,1,3,7,6]=>[1,3,3,1]=>11001001=>4 [5,8,3,4,7,6,1,2]=>[4,1,6,5,2,3,8,7]=>[1,2,1,3,1]=>11011001=>4 [1,4,2,8,5,6,7,3]=>[8,5,7,1,4,3,2,6]=>[1,2,2,1,2]=>11010110=>5 [2,4,5,1,8,6,7,3]=>[7,5,4,8,1,3,2,6]=>[1,1,2,2,2]=>11101010=>5 [6,7,3,2,8,5,4,1]=>[3,2,6,7,1,4,5,8]=>[1,3,4]=>11001000=>3 [6,8,7,3,2,5,4,1]=>[3,1,2,6,7,4,5,8]=>[1,4,3]=>11000100=>3 [6,4,2,8,5,7,3,1]=>[3,5,7,1,4,2,6,8]=>[3,2,3]=>10010100=>5 [5,6,2,1,7,3,4,8]=>[4,3,7,8,2,6,5,1]=>[1,3,2,1,1]=>11001011=>4 [5,4,3,8,6,1,2,7]=>[4,5,6,1,3,8,7,2]=>[3,3,1,1]=>10010011=>4 [5,4,2,8,6,7,1,3]=>[4,5,7,1,3,2,8,6]=>[3,2,2,1]=>10010101=>6 [4,8,6,3,2,7,1,5]=>[5,1,3,6,7,2,8,4]=>[1,4,2,1]=>11000101=>4 [4,8,5,3,6,1,2,7]=>[5,1,4,6,3,8,7,2]=>[1,3,2,1,1]=>11001011=>4 [4,8,6,3,5,2,1,7]=>[5,1,3,6,4,7,8,2]=>[1,3,3,1]=>11001001=>4 [5,8,6,3,2,7,1,4]=>[4,1,3,6,7,2,8,5]=>[1,4,2,1]=>11000101=>4 [5,7,6,3,2,4,8,1]=>[4,2,3,6,7,5,1,8]=>[1,4,1,2]=>11000110=>3 [5,7,3,2,8,6,4,1]=>[4,2,6,7,1,3,5,8]=>[1,3,4]=>11001000=>3 [4,6,5,8,2,7,1,3]=>[5,3,4,1,7,2,8,6]=>[1,2,2,2,1]=>11010101=>6 [4,5,1,8,3,7,6,2]=>[5,4,8,1,6,2,3,7]=>[1,2,2,3]=>11010100=>5 [5,3,1,6,8,4,2,7]=>[4,6,8,3,1,5,7,2]=>[3,1,3,1]=>10011001=>4 [4,5,1,6,8,2,7,3]=>[5,4,8,3,1,7,2,6]=>[1,2,1,2,2]=>11011010=>5 [4,5,1,7,8,3,2,6]=>[5,4,8,2,1,6,7,3]=>[1,2,1,3,1]=>11011001=>4 [1,6,3,7,2,4,8,5]=>[8,3,6,2,7,5,1,4]=>[1,2,2,1,2]=>11010110=>5 [3,5,8,4,6,1,2,7]=>[6,4,1,5,3,8,7,2]=>[1,1,2,2,1,1]=>11101011=>4 [4,3,8,1,5,6,2,7]=>[5,6,1,8,4,3,7,2]=>[2,2,1,2,1]=>10101101=>6 [8,9,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,9,8]=>[1,7,1]=>110000001=>2 [8,6,7,5,4,3,2,1,9]=>[2,4,3,5,6,7,8,9,1]=>[2,6,1]=>101000001=>4 [8,7,9,6,5,4,3,1,2]=>[2,3,1,4,5,6,7,9,8]=>[2,6,1]=>101000001=>4 [9,7,8,6,5,4,3,1,2]=>[1,3,2,4,5,6,7,9,8]=>[2,6,1]=>101000001=>4 [8,7,1,2,5,3,6,4]=>[1,2,8,7,4,6,3,5]=>[3,1,2,2]=>10011010=>5 [7,6,2,1,3,5,4,8]=>[2,3,7,8,6,4,5,1]=>[4,1,2,1]=>10001101=>4 [4,7,3,1,6,2,5,8]=>[5,2,6,8,3,7,4,1]=>[1,3,2,1,1]=>11001011=>4 [2,5,4,7,1,3,6,8]=>[7,4,5,2,8,6,3,1]=>[1,2,2,1,1,1]=>11010111=>4 [3,1,7,4,6,2,5,8]=>[6,8,2,5,3,7,4,1]=>[2,2,2,1,1]=>10101011=>6 [3,6,1,5,7,2,4,8]=>[6,3,8,4,2,7,5,1]=>[1,2,1,2,1,1]=>11011011=>4 [4,3,7,1,6,2,5,8]=>[5,6,2,8,3,7,4,1]=>[2,2,2,1,1]=>10101011=>6 [4,3,1,6,7,2,5,8]=>[5,6,8,3,2,7,4,1]=>[3,1,2,1,1]=>10011011=>4 [6,3,1,5,7,2,4,8]=>[3,6,8,4,2,7,5,1]=>[3,1,2,1,1]=>10011011=>4 [2,4,7,6,1,3,5,8]=>[7,5,2,3,8,6,4,1]=>[1,1,3,1,1,1]=>11100111=>2 [6,2,5,4,1,3,7,8]=>[3,7,4,5,8,6,2,1]=>[2,3,1,1,1]=>10100111=>4 [3,2,6,5,1,4,7,8]=>[6,7,3,4,8,5,2,1]=>[2,3,1,1,1]=>10100111=>4 [4,3,6,2,1,5,7,8]=>[5,6,3,7,8,4,2,1]=>[2,3,1,1,1]=>10100111=>4 [6,1,5,8,4,2,3,7]=>[3,8,4,1,5,7,6,2]=>[2,1,3,1,1]=>10110011=>4 [2,5,1,4,8,6,7,3]=>[7,4,8,5,1,3,2,6]=>[1,2,1,2,2]=>11011010=>5 [2,5,4,1,3,7,6,8]=>[7,4,5,8,6,2,3,1]=>[1,3,1,2,1]=>11001101=>4 [5,2,4,1,3,7,6,8]=>[4,7,5,8,6,2,3,1]=>[2,2,1,2,1]=>10101101=>6 [5,2,1,4,8,6,7,3]=>[4,7,8,5,1,3,2,6]=>[3,1,2,2]=>10011010=>5 [5,2,1,8,4,6,3,7]=>[4,7,8,1,5,3,6,2]=>[3,2,2,1]=>10010101=>6 [8,4,1,2,6,5,7,3]=>[1,5,8,7,3,4,2,6]=>[3,1,2,2]=>10011010=>5 [4,5,2,1,3,7,6,8]=>[5,4,7,8,6,2,3,1]=>[1,3,1,2,1]=>11001101=>4 [4,7,8,1,5,2,3,6]=>[5,2,1,8,4,7,6,3]=>[1,1,2,2,1,1]=>11101011=>4 [5,2,8,1,6,4,3,7]=>[4,7,1,8,3,5,6,2]=>[2,2,3,1]=>10101001=>6 [5,2,3,1,4,7,6,8]=>[4,7,6,8,5,2,3,1]=>[2,2,1,2,1]=>10101101=>6 [5,4,2,3,1,7,6,8]=>[4,5,7,6,8,2,3,1]=>[3,2,2,1]=>10010101=>6 [5,4,2,1,3,7,6,8]=>[4,5,7,8,6,2,3,1]=>[4,1,2,1]=>10001101=>4 [5,3,1,7,4,2,6,8]=>[4,6,8,2,5,7,3,1]=>[3,3,1,1]=>10010011=>4 [8,4,3,1,5,7,6,2]=>[1,5,6,8,4,2,3,7]=>[4,1,3]=>10001100=>3 [7,2,4,6,1,3,8,5]=>[2,7,5,3,8,6,1,4]=>[2,1,2,1,2]=>10110110=>5 [8,2,7,4,1,6,5,3]=>[1,7,2,5,8,3,4,6]=>[2,3,3]=>10100100=>5 [2,1,5,4,8,6,3,7]=>[7,8,4,5,1,3,6,2]=>[2,2,3,1]=>10101001=>6 [3,2,8,4,1,6,5,7]=>[6,7,1,5,8,3,4,2]=>[2,3,2,1]=>10100101=>6 [3,7,5,4,6,1,8,2]=>[6,2,4,5,3,8,1,7]=>[1,3,2,2]=>11001010=>5 [3,7,6,4,1,5,8,2]=>[6,2,3,5,8,4,1,7]=>[1,4,1,2]=>11000110=>3 [3,7,6,4,8,1,5,2]=>[6,2,3,5,1,8,4,7]=>[1,3,2,2]=>11001010=>5 [8,2,7,6,3,4,1,5]=>[1,7,2,3,6,5,8,4]=>[2,3,2,1]=>10100101=>6 [4,1,2,8,3,5,7,6]=>[5,8,7,1,6,4,2,3]=>[2,1,2,1,2]=>10110110=>5 [6,5,2,4,1,7,3,8]=>[3,4,7,5,8,2,6,1]=>[3,2,2,1]=>10010101=>6 [6,3,5,4,1,2,7,8]=>[3,6,4,5,8,7,2,1]=>[2,3,1,1,1]=>10100111=>4 [7,1,6,5,4,2,8,3]=>[2,8,3,4,5,7,1,6]=>[2,4,2]=>10100010=>5 [7,2,6,5,1,4,3,8]=>[2,7,3,4,8,5,6,1]=>[2,3,2,1]=>10100101=>6 [7,1,8,4,2,3,6,5]=>[2,8,1,5,7,6,3,4]=>[2,3,1,2]=>10100110=>5 [8,6,3,1,5,4,7,2]=>[1,3,6,8,4,5,2,7]=>[4,2,2]=>10001010=>5 [6,2,1,8,3,4,5,7]=>[3,7,8,1,6,5,4,2]=>[3,2,1,1,1]=>10010111=>4 [2,7,6,4,5,1,8,3]=>[7,2,3,5,4,8,1,6]=>[1,3,2,2]=>11001010=>5 [1,7,5,6,4,3,8,2]=>[8,2,4,3,5,6,1,7]=>[1,2,3,2]=>11010010=>5 [7,3,4,6,2,5,1,8]=>[2,6,5,3,7,4,8,1]=>[2,1,2,2,1]=>10110101=>6 [5,7,2,3,6,4,1,8]=>[4,2,7,6,3,5,8,1]=>[1,2,1,3,1]=>11011001=>4 [4,6,8,1,7,3,5,2]=>[5,3,1,8,2,6,4,7]=>[1,1,2,2,2]=>11101010=>5 [6,8,2,7,4,1,3,5]=>[3,1,7,2,5,8,6,4]=>[1,2,3,1,1]=>11010011=>4 [8,1,4,5,7,2,6,3]=>[1,8,5,4,2,7,3,6]=>[2,1,1,2,2]=>10111010=>5 [6,8,3,7,1,4,5,2]=>[3,1,6,2,8,5,4,7]=>[1,2,2,1,2]=>11010110=>5 [3,8,2,6,4,1,5,7]=>[6,1,7,3,5,8,4,2]=>[1,2,3,1,1]=>11010011=>4 [3,8,1,5,7,4,2,6]=>[6,1,8,4,2,5,7,3]=>[1,2,1,3,1]=>11011001=>4 [8,3,7,1,4,5,2,6]=>[1,6,2,8,5,4,7,3]=>[2,2,1,2,1]=>10101101=>6 [8,2,7,1,4,5,3,6]=>[1,7,2,8,5,4,6,3]=>[2,2,1,2,1]=>10101101=>6 [8,1,5,7,2,6,3,4]=>[1,8,4,2,7,3,6,5]=>[2,1,2,2,1]=>10110101=>6 [2,8,3,1,6,7,4,5]=>[7,1,6,8,3,2,5,4]=>[1,3,1,2,1]=>11001101=>4 [4,5,6,8,2,1,7,3]=>[5,4,3,1,7,8,2,6]=>[1,1,1,3,2]=>11110010=>3 [4,5,6,8,1,3,7,2]=>[5,4,3,1,8,6,2,7]=>[1,1,1,2,1,2]=>11110110=>3 [4,5,8,3,2,1,7,6]=>[5,4,1,6,7,8,2,3]=>[1,1,4,2]=>11100010=>3 [4,5,1,3,2,6,7,8]=>[5,4,8,6,7,3,2,1]=>[1,2,2,1,1,1]=>11010111=>4 [4,7,3,2,1,6,5,8]=>[5,2,6,7,8,3,4,1]=>[1,4,2,1]=>11000101=>4 [4,8,3,2,1,6,7,5]=>[5,1,6,7,8,3,2,4]=>[1,4,1,2]=>11000110=>3 [5,2,8,1,4,6,7,3]=>[4,7,1,8,5,3,2,6]=>[2,2,1,1,2]=>10101110=>5 [5,6,3,7,8,1,4,2]=>[4,3,6,2,1,8,5,7]=>[1,2,1,2,2]=>11011010=>5 [5,7,1,4,3,6,2,8]=>[4,2,8,5,6,3,7,1]=>[1,2,2,2,1]=>11010101=>6 [6,2,3,7,1,5,4,8]=>[3,7,6,2,8,4,5,1]=>[2,1,2,2,1]=>10110101=>6 [6,2,8,1,5,4,7,3]=>[3,7,1,8,4,5,2,6]=>[2,2,2,2]=>10101010=>7 [7,1,3,4,5,6,2,8]=>[2,8,6,5,4,3,7,1]=>[2,1,1,1,2,1]=>10111101=>4 [6,4,2,5,3,7,8,1]=>[3,5,7,4,6,2,1,8]=>[3,2,1,2]=>10010110=>5 [7,2,5,1,3,6,4,8]=>[2,7,4,8,6,3,5,1]=>[2,2,1,2,1]=>10101101=>6 [7,2,5,1,3,8,6,4]=>[2,7,4,8,6,1,3,5]=>[2,2,1,3]=>10101100=>5 [3,6,2,1,8,7,4,5]=>[6,3,7,8,1,2,5,4]=>[1,3,3,1]=>11001001=>4 [1,6,8,5,7,2,4,3]=>[8,3,1,4,2,7,5,6]=>[1,1,2,2,2]=>11101010=>5 [6,5,2,7,8,4,3,1]=>[3,4,7,2,1,5,6,8]=>[3,1,4]=>10011000=>3 [7,5,3,6,4,2,1,8]=>[2,4,6,3,5,7,8,1]=>[3,4,1]=>10010001=>4 [7,8,4,6,2,5,3,1]=>[2,1,5,3,7,4,6,8]=>[1,2,2,3]=>11010100=>5 [7,2,6,5,4,1,3,8]=>[2,7,3,4,5,8,6,1]=>[2,4,1,1]=>10100011=>4 [1,6,8,7,5,4,2,3]=>[8,3,1,2,4,5,7,6]=>[1,1,5,1]=>11100001=>2 [1,3,6,7,5,2,4,8]=>[8,6,3,2,4,7,5,1]=>[1,1,1,3,1,1]=>11110011=>2 [1,5,2,6,8,7,3,4]=>[8,4,7,3,1,2,6,5]=>[1,2,1,3,1]=>11011001=>4 [6,8,4,1,3,2,7,5]=>[3,1,5,8,6,7,2,4]=>[1,3,2,2]=>11001010=>5 [6,1,5,2,4,3,7,8]=>[3,8,4,7,5,6,2,1]=>[2,2,2,1,1]=>10101011=>6 [3,2,1,5,6,7,8,9,4]=>[7,8,9,5,4,3,2,1,6]=>[3,1,1,1,1,2]=>100111110=>3 [4,3,2,1,6,7,8,9,5]=>[6,7,8,9,4,3,2,1,5]=>[4,1,1,1,2]=>100011110=>3 [6,5,4,3,2,1,8,9,7]=>[4,5,6,7,8,9,2,1,3]=>[6,1,2]=>100000110=>3 [6,9,4,7,2,5,1,3,8]=>[4,1,6,3,8,5,9,7,2]=>[1,2,2,2,1,1]=>110101011=>6 [5,3,4,7,2,1,6,8]=>[4,6,5,2,7,8,3,1]=>[2,1,3,1,1]=>10110011=>4 [7,6,9,5,4,3,2,1,8]=>[3,4,1,5,6,7,8,9,2]=>[2,6,1]=>101000001=>4 [6,5,8,1,4,7,2,3]=>[3,4,1,8,5,2,7,6]=>[2,2,1,2,1]=>10101101=>6 [8,6,5,3,4,1,7,2]=>[1,3,4,6,5,8,2,7]=>[4,2,2]=>10001010=>5 [8,3,6,5,4,1,7,2]=>[1,6,3,4,5,8,2,7]=>[2,4,2]=>10100010=>5 [6,7,3,5,4,1,8,2]=>[3,2,6,4,5,8,1,7]=>[1,2,3,2]=>11010010=>5 [5,4,7,8,6,1,2,3]=>[4,5,2,1,3,8,7,6]=>[2,1,3,1,1]=>10110011=>4 [7,1,2,4,5,3,6,8]=>[2,8,7,5,4,6,3,1]=>[2,1,1,2,1,1]=>10111011=>4 [7,2,4,5,8,1,3,6]=>[2,7,5,4,1,8,6,3]=>[2,1,1,2,1,1]=>10111011=>4 [4,7,3,1,2,8,6,5]=>[5,2,6,8,7,1,3,4]=>[1,3,1,3]=>11001100=>3 [4,8,5,7,1,2,3,6]=>[5,1,4,2,8,7,6,3]=>[1,2,2,1,1,1]=>11010111=>4 [6,2,5,8,1,3,7,4]=>[3,7,4,1,8,6,2,5]=>[2,1,2,1,2]=>10110110=>5 [2,7,5,1,4,6,8,3]=>[7,2,4,8,5,3,1,6]=>[1,3,1,1,2]=>11001110=>3 [5,8,6,4,3,1,2,7]=>[4,1,3,5,6,8,7,2]=>[1,5,1,1]=>11000011=>2 [6,2,5,1,7,8,3,4]=>[3,7,4,8,2,1,6,5]=>[2,2,1,2,1]=>10101101=>6 [6,7,4,3,1,2,8,5]=>[3,2,5,6,8,7,1,4]=>[1,4,1,2]=>11000110=>3 [4,2,3,7,6,1,8,5]=>[5,7,6,2,3,8,1,4]=>[2,1,3,2]=>10110010=>5 [4,2,6,3,1,5,7,8]=>[5,7,3,6,8,4,2,1]=>[2,3,1,1,1]=>10100111=>4 [7,5,2,3,4,1,8,6]=>[2,4,7,6,5,8,1,3]=>[3,1,2,2]=>10011010=>5 [1,6,2,3,8,4,7,5]=>[8,3,7,6,1,5,2,4]=>[1,2,1,2,2]=>11011010=>5 [8,2,7,1,3,5,6,4]=>[1,7,2,8,6,4,3,5]=>[2,2,1,1,2]=>10101110=>5 [5,8,2,3,1,4,7,6]=>[4,1,7,6,8,5,2,3]=>[1,2,2,1,2]=>11010110=>5 [5,7,2,1,3,4,6,8]=>[4,2,7,8,6,5,3,1]=>[1,3,1,1,1,1]=>11001111=>2 [1,2,8,7,3,5,6,4]=>[8,7,1,2,6,4,3,5]=>[1,1,3,1,2]=>11100110=>3 [1,3,8,5,2,6,4,7]=>[8,6,1,4,7,3,5,2]=>[1,1,3,2,1]=>11100101=>4 [7,1,6,4,3,2,5,8]=>[2,8,3,5,6,7,4,1]=>[2,4,1,1]=>10100011=>4 [8,4,1,6,3,2,7,5]=>[1,5,8,3,6,7,2,4]=>[3,3,2]=>10010010=>5 [4,6,3,2,5,8,7,1]=>[5,3,6,7,4,1,2,8]=>[1,3,1,3]=>11001100=>3 [1,4,6,3,2,5,7,8]=>[8,5,3,6,7,4,2,1]=>[1,1,3,1,1,1]=>11100111=>2 [7,1,6,4,3,2,8,5]=>[2,8,3,5,6,7,1,4]=>[2,4,2]=>10100010=>5 [4,6,3,2,7,5,8,1]=>[5,3,6,7,2,4,1,8]=>[1,3,2,2]=>11001010=>5 [5,8,4,3,2,6,1,7]=>[4,1,5,6,7,3,8,2]=>[1,4,2,1]=>11000101=>4 [1,3,6,5,2,4,8,7]=>[8,6,3,4,7,5,1,2]=>[1,1,3,1,2]=>11100110=>3 [4,6,3,2,7,1,5,8]=>[5,3,6,7,2,8,4,1]=>[1,3,2,1,1]=>11001011=>4 [1,5,7,4,8,6,2,3]=>[8,4,2,5,1,3,7,6]=>[1,1,2,3,1]=>11101001=>4 [6,1,5,7,3,8,2,4]=>[3,8,4,2,6,1,7,5]=>[2,1,2,2,1]=>10110101=>6 [1,6,5,4,7,8,2,3]=>[8,3,4,5,2,1,7,6]=>[1,3,1,2,1]=>11001101=>4 [7,6,2,3,1,8,5,4]=>[2,3,7,6,8,1,4,5]=>[3,2,3]=>10010100=>5 [2,3,5,1,7,8,6,4]=>[7,6,4,8,2,1,3,5]=>[1,1,2,1,3]=>11101100=>3 [2,7,3,4,1,6,8,5]=>[7,2,6,5,8,3,1,4]=>[1,2,2,1,2]=>11010110=>5 [1,2,7,8,6,4,3,5]=>[8,7,2,1,3,5,6,4]=>[1,1,1,4,1]=>11110001=>2 [4,7,8,6,2,1,3,5]=>[5,2,1,3,7,8,6,4]=>[1,1,4,1,1]=>11100011=>2 [8,6,7,1,5,4,2,3]=>[1,3,2,8,4,5,7,6]=>[2,2,3,1]=>10101001=>6 [5,2,4,1,7,6,8,3]=>[4,7,5,8,2,3,1,6]=>[2,2,2,2]=>10101010=>7 [3,1,8,6,7,4,2,5]=>[6,8,1,3,2,5,7,4]=>[2,2,3,1]=>10101001=>6 [8,5,7,6,2,4,1,3]=>[1,4,2,3,7,5,8,6]=>[2,3,2,1]=>10100101=>6 [1,7,6,8,5,2,3,4]=>[8,2,3,1,4,7,6,5]=>[1,2,3,1,1]=>11010011=>4 [9,3,4,5,6,7,8,2,1]=>[1,7,6,5,4,3,2,8,9]=>[2,1,1,1,1,3]=>101111100=>3 [8,4,1,3,5,7,6,2]=>[1,5,8,6,4,2,3,7]=>[3,1,1,3]=>10011100=>3 [8,4,1,5,6,3,7,2]=>[1,5,8,4,3,6,2,7]=>[3,1,2,2]=>10011010=>5 [5,7,1,3,4,8,6,2]=>[4,2,8,6,5,1,3,7]=>[1,2,1,1,3]=>11011100=>3 [5,1,3,4,8,7,6,2]=>[4,8,6,5,1,2,3,7]=>[2,1,1,4]=>10111000=>3 [9,1,8,2,7,3,6,4,5]=>[1,9,2,8,3,7,4,6,5]=>[2,2,2,2,1]=>101010101=>8 [5,4,6,3,7,2,9,1,8]=>[5,6,4,7,3,8,1,9,2]=>[2,2,2,2,1]=>101010101=>8 [5,4,7,3,6,2,9,1,8]=>[5,6,3,7,4,8,1,9,2]=>[2,2,2,2,1]=>101010101=>8 [7,2,4,6,5,1,8,3]=>[2,7,5,3,4,8,1,6]=>[2,1,3,2]=>10110010=>5 [4,5,7,6,2,1,8,3]=>[5,4,2,3,7,8,1,6]=>[1,1,4,2]=>11100010=>3 [7,3,1,5,6,8,4,2]=>[2,6,8,4,3,1,5,7]=>[3,1,1,3]=>10011100=>3 [4,8,7,2,3,1,6,5]=>[5,1,2,7,6,8,3,4]=>[1,3,2,2]=>11001010=>5 [5,6,8,1,2,4,3,7]=>[4,3,1,8,7,5,6,2]=>[1,1,2,1,2,1]=>11101101=>4 [3,8,4,7,6,1,2,5]=>[6,1,5,2,3,8,7,4]=>[1,2,3,1,1]=>11010011=>4 [1,6,8,5,3,7,2,4]=>[8,3,1,4,6,2,7,5]=>[1,1,3,2,1]=>11100101=>4 [5,6,2,8,3,1,4,7]=>[4,3,7,1,6,8,5,2]=>[1,2,3,1,1]=>11010011=>4 [2,4,5,7,8,3,1,6]=>[7,5,4,2,1,6,8,3]=>[1,1,1,1,3,1]=>11111001=>2 [3,5,4,7,1,8,2,6]=>[6,4,5,2,8,1,7,3]=>[1,2,2,2,1]=>11010101=>6 [3,2,6,7,5,1,8,4]=>[6,7,3,2,4,8,1,5]=>[2,1,3,2]=>10110010=>5 [3,4,6,7,5,1,2,8]=>[6,5,3,2,4,8,7,1]=>[1,1,1,3,1,1]=>11110011=>2 [2,5,6,7,3,4,1,8]=>[7,4,3,2,6,5,8,1]=>[1,1,1,2,2,1]=>11110101=>4 [4,3,5,7,1,8,2,6]=>[5,6,4,2,8,1,7,3]=>[2,1,2,2,1]=>10110101=>6 [4,3,2,5,8,7,1,6]=>[5,6,7,4,1,2,8,3]=>[3,1,3,1]=>10011001=>4 [2,5,4,3,8,7,1,6]=>[7,4,5,6,1,2,8,3]=>[1,3,3,1]=>11001001=>4 [5,2,6,4,1,8,3,7]=>[4,7,3,5,8,1,6,2]=>[2,3,2,1]=>10100101=>6 [5,2,6,4,7,1,3,8]=>[4,7,3,5,2,8,6,1]=>[2,2,2,1,1]=>10101011=>6 [4,3,2,7,1,8,6,5]=>[5,6,7,2,8,1,3,4]=>[3,2,3]=>10010100=>5 [4,6,2,5,7,1,3,8]=>[5,3,7,4,2,8,6,1]=>[1,2,1,2,1,1]=>11011011=>4 [2,5,6,7,3,1,8,4]=>[7,4,3,2,6,8,1,5]=>[1,1,1,3,2]=>11110010=>3 [4,5,7,1,3,6,2,8]=>[5,4,2,8,6,3,7,1]=>[1,1,2,1,2,1]=>11101101=>4 [3,7,5,6,1,2,4,8]=>[6,2,4,3,8,7,5,1]=>[1,2,2,1,1,1]=>11010111=>4 [4,7,2,8,6,5,3,1]=>[5,2,7,1,3,4,6,8]=>[1,2,5]=>11010000=>3 [5,7,8,3,6,2,4,1]=>[4,2,1,6,3,7,5,8]=>[1,1,2,2,2]=>11101010=>5 [7,2,3,1,6,8,5,4]=>[2,7,6,8,3,1,4,5]=>[2,2,1,3]=>10101100=>5 [7,2,3,1,6,8,4,5]=>[2,7,6,8,3,1,5,4]=>[2,2,1,2,1]=>10101101=>6 [5,7,8,6,2,1,3,4]=>[4,2,1,3,7,8,6,5]=>[1,1,4,1,1]=>11100011=>2 [4,1,8,2,5,6,3,7]=>[5,8,1,7,4,3,6,2]=>[2,2,1,2,1]=>10101101=>6 [6,2,1,3,7,8,5,4]=>[3,7,8,6,2,1,4,5]=>[3,1,1,3]=>10011100=>3 [2,6,7,5,1,3,4,8]=>[7,3,2,4,8,6,5,1]=>[1,1,3,1,1,1]=>11100111=>2 [6,3,2,4,7,8,5,1]=>[3,6,7,5,2,1,4,8]=>[3,1,1,3]=>10011100=>3 [6,2,3,1,5,7,4,8]=>[3,7,6,8,4,2,5,1]=>[2,2,1,2,1]=>10101101=>6 [6,2,1,3,7,5,4,8]=>[3,7,8,6,2,4,5,1]=>[3,1,3,1]=>10011001=>4 [5,2,1,3,6,4,7,8]=>[4,7,8,6,3,5,2,1]=>[3,1,2,1,1]=>10011011=>4 [5,7,8,1,6,2,3,4]=>[4,2,1,8,3,7,6,5]=>[1,1,2,2,1,1]=>11101011=>4 [5,7,8,6,4,3,1,2]=>[4,2,1,3,5,6,8,7]=>[1,1,5,1]=>11100001=>2 [1,5,4,3,8,2,6,7]=>[8,4,5,6,1,7,3,2]=>[1,3,2,1,1]=>11001011=>4 [1,5,4,3,7,2,6,8]=>[8,4,5,6,2,7,3,1]=>[1,3,2,1,1]=>11001011=>4 [1,5,3,8,7,2,6,4]=>[8,4,6,1,2,7,3,5]=>[1,2,3,2]=>11010010=>5 [1,6,4,2,7,3,8,5]=>[8,3,5,7,2,6,1,4]=>[1,3,2,2]=>11001010=>5 [1,4,2,5,8,6,3,7]=>[8,5,7,4,1,3,6,2]=>[1,2,1,3,1]=>11011001=>4 [1,6,2,7,5,4,3,8]=>[8,3,7,2,4,5,6,1]=>[1,2,4,1]=>11010001=>4 [6,4,8,7,1,5,3,2]=>[3,5,1,2,8,4,6,7]=>[2,3,3]=>10100100=>5 [4,8,2,1,5,7,3,6]=>[5,1,7,8,4,2,6,3]=>[1,3,1,2,1]=>11001101=>4 [5,2,7,1,6,3,4,8]=>[4,7,2,8,3,6,5,1]=>[2,2,2,1,1]=>10101011=>6 [4,8,2,5,1,6,3,7]=>[5,1,7,4,8,3,6,2]=>[1,2,2,2,1]=>11010101=>6 [5,8,1,2,4,6,3,7]=>[4,1,8,7,5,3,6,2]=>[1,2,1,1,2,1]=>11011101=>4 [5,1,7,3,6,4,2,8]=>[4,8,2,6,3,5,7,1]=>[2,2,3,1]=>10101001=>6 [3,2,7,5,6,1,4,8]=>[6,7,2,4,3,8,5,1]=>[2,2,2,1,1]=>10101011=>6 [3,2,7,1,6,4,5,8]=>[6,7,2,8,3,5,4,1]=>[2,2,2,1,1]=>10101011=>6 [6,3,1,7,5,4,2,8]=>[3,6,8,2,4,5,7,1]=>[3,4,1]=>10010001=>4 [7,3,4,8,5,6,2,1]=>[2,6,5,1,4,3,7,8]=>[2,1,2,3]=>10110100=>5 [7,3,6,8,4,5,2,1]=>[2,6,3,1,5,4,7,8]=>[2,1,2,3]=>10110100=>5 [6,2,5,7,8,4,3,1]=>[3,7,4,2,1,5,6,8]=>[2,1,1,4]=>10111000=>3 [5,6,3,2,4,8,7,1]=>[4,3,6,7,5,1,2,8]=>[1,3,1,3]=>11001100=>3 [5,6,2,8,3,1,7,4]=>[4,3,7,1,6,8,2,5]=>[1,2,3,2]=>11010010=>5 [5,6,2,4,3,1,7,8]=>[4,3,7,5,6,8,2,1]=>[1,2,3,1,1]=>11010011=>4 [5,7,6,2,4,3,8,1]=>[4,2,3,7,5,6,1,8]=>[1,3,2,2]=>11001010=>5 [5,7,2,6,3,4,1,8]=>[4,2,7,3,6,5,8,1]=>[1,2,2,2,1]=>11010101=>6 [6,1,7,5,8,3,2,4]=>[3,8,2,4,1,6,7,5]=>[2,2,3,1]=>10101001=>6 [6,1,3,4,8,5,2,7]=>[3,8,6,5,1,4,7,2]=>[2,1,1,3,1]=>10111001=>4 [5,7,2,4,3,8,1,6]=>[4,2,7,5,6,1,8,3]=>[1,2,2,2,1]=>11010101=>6 [5,7,3,2,4,6,8,1]=>[4,2,6,7,5,3,1,8]=>[1,3,1,1,2]=>11001110=>3 [7,1,2,6,5,4,8,3]=>[2,8,7,3,4,5,1,6]=>[2,1,3,2]=>10110010=>5 [5,3,1,6,8,2,7,4]=>[4,6,8,3,1,7,2,5]=>[3,1,2,2]=>10011010=>5 [1,4,7,5,6,2,8,3]=>[8,5,2,4,3,7,1,6]=>[1,1,2,2,2]=>11101010=>5 [4,5,7,8,2,3,6,1]=>[5,4,2,1,7,6,3,8]=>[1,1,1,2,1,2]=>11110110=>3 [3,4,5,7,8,2,1,6]=>[6,5,4,2,1,7,8,3]=>[1,1,1,1,3,1]=>11111001=>2 [1,3,4,7,2,6,8,5]=>[8,6,5,2,7,3,1,4]=>[1,1,1,2,1,2]=>11110110=>3 [1,6,5,2,8,4,3,7]=>[8,3,4,7,1,5,6,2]=>[1,3,3,1]=>11001001=>4 [6,4,1,2,5,8,7,3]=>[3,5,8,7,4,1,2,6]=>[3,1,1,3]=>10011100=>3 [7,6,1,2,8,4,5,3]=>[2,3,8,7,1,5,4,6]=>[3,1,2,2]=>10011010=>5 [3,7,2,8,5,1,6,4]=>[6,2,7,1,4,8,3,5]=>[1,2,3,2]=>11010010=>5 [3,6,5,7,1,2,8,4]=>[6,3,4,2,8,7,1,5]=>[1,2,2,1,2]=>11010110=>5 [1,8,6,2,5,4,3,7]=>[8,1,3,7,4,5,6,2]=>[1,3,3,1]=>11001001=>4 [1,3,6,8,4,2,7,5]=>[8,6,3,1,5,7,2,4]=>[1,1,1,3,2]=>11110010=>3 [1,6,5,8,2,7,3,4]=>[8,3,4,1,7,2,6,5]=>[1,2,2,2,1]=>11010101=>6 [7,5,2,8,3,6,1,4]=>[2,4,7,1,6,3,8,5]=>[3,2,2,1]=>10010101=>6 [4,6,2,3,8,1,7,5]=>[5,3,7,6,1,8,2,4]=>[1,2,1,2,2]=>11011010=>5 [6,2,8,4,7,3,1,5]=>[3,7,1,5,2,6,8,4]=>[2,2,3,1]=>10101001=>6 [6,4,7,5,1,8,3,2]=>[3,5,2,4,8,1,6,7]=>[2,3,3]=>10100100=>5 [5,2,4,8,3,7,6,1]=>[4,7,5,1,6,2,3,8]=>[2,1,2,3]=>10110100=>5 [7,6,8,3,5,4,1,2]=>[2,3,1,6,4,5,8,7]=>[2,2,3,1]=>10101001=>6 [5,3,1,4,8,6,2,7]=>[4,6,8,5,1,3,7,2]=>[3,1,3,1]=>10011001=>4 [5,2,4,8,3,1,6,7]=>[4,7,5,1,6,8,3,2]=>[2,1,3,1,1]=>10110011=>4 [8,7,3,5,4,1,6,2]=>[1,2,6,4,5,8,3,7]=>[3,3,2]=>10010010=>5 [8,4,7,5,3,1,6,2]=>[1,5,2,4,6,8,3,7]=>[2,4,2]=>10100010=>5 [6,3,8,4,1,7,5,2]=>[3,6,1,5,8,2,4,7]=>[2,3,3]=>10100100=>5 [7,4,5,1,8,6,2,3]=>[2,5,4,8,1,3,7,6]=>[2,2,3,1]=>10101001=>6 [1,5,6,2,8,7,3,4]=>[8,4,3,7,1,2,6,5]=>[1,1,2,3,1]=>11101001=>4 [6,8,3,1,2,7,5,4]=>[3,1,6,8,7,2,4,5]=>[1,3,1,3]=>11001100=>3 [2,7,8,3,6,4,1,5]=>[7,2,1,6,3,5,8,4]=>[1,1,2,3,1]=>11101001=>4 [3,8,4,7,6,2,1,5]=>[6,1,5,2,3,7,8,4]=>[1,2,4,1]=>11010001=>4 [8,5,3,7,6,2,1,4]=>[1,4,6,2,3,7,8,5]=>[3,4,1]=>10010001=>4 [8,1,5,7,6,3,2,4]=>[1,8,4,2,3,6,7,5]=>[2,1,4,1]=>10110001=>4 [1,8,6,7,5,3,2,4]=>[8,1,3,2,4,6,7,5]=>[1,2,4,1]=>11010001=>4 [5,2,8,6,1,7,4,3]=>[4,7,1,3,8,2,5,6]=>[2,3,3]=>10100100=>5 [8,5,3,1,7,6,2,4]=>[1,4,6,8,2,3,7,5]=>[4,3,1]=>10001001=>4 [7,3,2,6,1,8,4,5]=>[2,6,7,3,8,1,5,4]=>[3,2,2,1]=>10010101=>6 [6,2,7,1,3,8,4,5]=>[3,7,2,8,6,1,5,4]=>[2,2,1,2,1]=>10101101=>6 [7,4,8,3,1,6,5,2]=>[2,5,1,6,8,3,4,7]=>[2,3,3]=>10100100=>5 [5,8,4,2,7,6,3,1]=>[4,1,5,7,2,3,6,8]=>[1,3,4]=>11001000=>3 [5,8,4,2,7,6,1,3]=>[4,1,5,7,2,3,8,6]=>[1,3,3,1]=>11001001=>4 [4,7,8,1,5,2,6,3]=>[5,2,1,8,4,7,3,6]=>[1,1,2,2,2]=>11101010=>5 [5,4,8,2,3,7,1,6]=>[4,5,1,7,6,2,8,3]=>[2,2,1,2,1]=>10101101=>6 [2,6,1,5,8,3,7,4]=>[7,3,8,4,1,6,2,5]=>[1,2,1,2,2]=>11011010=>5 [8,1,6,3,5,4,2,7]=>[1,8,3,6,4,5,7,2]=>[2,2,3,1]=>10101001=>6 [8,1,2,5,3,6,4,7]=>[1,8,7,4,6,3,5,2]=>[2,1,2,2,1]=>10110101=>6 [7,2,5,3,6,8,4,1]=>[2,7,4,6,3,1,5,8]=>[2,2,1,3]=>10101100=>5 [2,7,4,6,3,1,5,8]=>[7,2,5,3,6,8,4,1]=>[1,2,3,1,1]=>11010011=>4 [7,2,4,8,6,5,3,1]=>[2,7,5,1,3,4,6,8]=>[2,1,5]=>10110000=>3 [8,1,5,3,7,6,2,4]=>[1,8,4,6,2,3,7,5]=>[2,2,3,1]=>10101001=>6 [2,6,8,1,3,4,7,5]=>[7,3,1,8,6,5,2,4]=>[1,1,2,1,1,2]=>11101110=>3 [2,3,5,7,6,1,4,8]=>[7,6,4,2,3,8,5,1]=>[1,1,1,3,1,1]=>11110011=>2 [3,6,8,2,5,4,1,7]=>[6,3,1,7,4,5,8,2]=>[1,1,2,3,1]=>11101001=>4 [5,2,3,6,4,7,8,1]=>[4,7,6,3,5,2,1,8]=>[2,1,2,1,2]=>10110110=>5 [6,4,8,7,3,5,1,2]=>[3,5,1,2,6,4,8,7]=>[2,3,2,1]=>10100101=>6 [6,1,4,2,3,5,7,8]=>[3,8,5,7,6,4,2,1]=>[2,2,1,1,1,1]=>10101111=>4 [5,2,6,1,3,8,4,7]=>[4,7,3,8,6,1,5,2]=>[2,2,1,2,1]=>10101101=>6 [4,5,2,7,8,3,6,1]=>[5,4,7,2,1,6,3,8]=>[1,2,1,2,2]=>11011010=>5 [2,4,5,3,7,1,6,8]=>[7,5,4,6,2,8,3,1]=>[1,1,2,2,1,1]=>11101011=>4 [3,2,4,5,7,1,6,8]=>[6,7,5,4,2,8,3,1]=>[2,1,1,2,1,1]=>10111011=>4 [6,5,1,8,3,7,4,2]=>[3,4,8,1,6,2,5,7]=>[3,2,3]=>10010100=>5 [7,1,4,3,8,6,5,2]=>[2,8,5,6,1,3,4,7]=>[2,2,4]=>10101000=>5 [8,5,4,1,7,3,2,6]=>[1,4,5,8,2,6,7,3]=>[4,3,1]=>10001001=>4 [5,7,6,3,8,2,4,1]=>[4,2,3,6,1,7,5,8]=>[1,3,2,2]=>11001010=>5 [6,8,4,7,1,2,5,3]=>[3,1,5,2,8,7,4,6]=>[1,2,2,1,2]=>11010110=>5 [1,3,7,6,8,4,5,2]=>[8,6,2,3,1,5,4,7]=>[1,1,2,2,2]=>11101010=>5 [6,1,5,7,2,8,3,4]=>[3,8,4,2,7,1,6,5]=>[2,1,2,2,1]=>10110101=>6 [1,8,7,2,5,6,3,4]=>[8,1,2,7,4,3,6,5]=>[1,3,1,2,1]=>11001101=>4 [1,8,2,6,7,4,3,5]=>[8,1,7,3,2,5,6,4]=>[1,2,1,3,1]=>11011001=>4 [2,5,4,8,7,6,1,3]=>[7,4,5,1,2,3,8,6]=>[1,2,4,1]=>11010001=>4 [1,8,7,6,3,5,4,2]=>[8,1,2,3,6,4,5,7]=>[1,4,3]=>11000100=>3 [1,8,5,7,6,4,3,2]=>[8,1,4,2,3,5,6,7]=>[1,2,5]=>11010000=>3 [1,6,2,7,3,8,4,9,5]=>[9,4,8,3,7,2,6,1,5]=>[1,2,2,2,2]=>110101010=>7 [7,2,4,1,8,5,3,6]=>[2,7,5,8,1,4,6,3]=>[2,2,3,1]=>10101001=>6 [1,4,3,5,8,6,2,7]=>[8,5,6,4,1,3,7,2]=>[1,2,1,3,1]=>11011001=>4 [4,2,8,5,6,1,3,7]=>[5,7,1,4,3,8,6,2]=>[2,2,2,1,1]=>10101011=>6 [7,3,2,1,4,6,8,5]=>[2,6,7,8,5,3,1,4]=>[4,1,1,2]=>10001110=>3 [1,4,3,5,7,2,8,6]=>[8,5,6,4,2,7,1,3]=>[1,2,1,2,2]=>11011010=>5 [3,7,2,1,4,6,8,5]=>[6,2,7,8,5,3,1,4]=>[1,3,1,1,2]=>11001110=>3 [4,7,2,6,1,8,3,5]=>[5,2,7,3,8,1,6,4]=>[1,2,2,2,1]=>11010101=>6 [8,7,3,5,2,1,6,4]=>[1,2,6,4,7,8,3,5]=>[3,3,2]=>10010010=>5 [6,8,5,3,2,1,7,4]=>[3,1,4,6,7,8,2,5]=>[1,5,2]=>11000010=>3 [6,2,4,1,7,8,3,5]=>[3,7,5,8,2,1,6,4]=>[2,2,1,2,1]=>10101101=>6 [6,7,3,2,1,5,8,4]=>[3,2,6,7,8,4,1,5]=>[1,4,1,2]=>11000110=>3 [7,5,3,2,1,6,8,4]=>[2,4,6,7,8,3,1,5]=>[5,1,2]=>10000110=>3 [8,6,7,3,2,1,5,4]=>[1,3,2,6,7,8,4,5]=>[2,4,2]=>10100010=>5 [1,4,8,3,2,6,7,5]=>[8,5,1,6,7,3,2,4]=>[1,1,3,1,2]=>11100110=>3 [8,2,6,1,3,7,4,5]=>[1,7,3,8,6,2,5,4]=>[2,2,1,2,1]=>10101101=>6 [8,7,1,3,4,6,5,2]=>[1,2,8,6,5,3,4,7]=>[3,1,1,3]=>10011100=>3 [1,7,5,3,6,2,4,8]=>[8,2,4,6,3,7,5,1]=>[1,3,2,1,1]=>11001011=>4 [7,4,6,1,3,5,8,2]=>[2,5,3,8,6,4,1,7]=>[2,2,1,1,2]=>10101110=>5 [6,8,1,3,4,2,5,7]=>[3,1,8,6,5,7,4,2]=>[1,2,1,2,1,1]=>11011011=>4 [6,1,3,5,2,4,8,7]=>[3,8,6,4,7,5,1,2]=>[2,1,2,1,2]=>10110110=>5 [4,2,5,7,8,1,3,6]=>[5,7,4,2,1,8,6,3]=>[2,1,1,2,1,1]=>10111011=>4 [1,3,6,2,5,7,4,8]=>[8,6,3,7,4,2,5,1]=>[1,1,2,1,2,1]=>11101101=>4 [2,8,4,6,3,5,7,1]=>[7,1,5,3,6,4,2,8]=>[1,2,2,1,2]=>11010110=>5 [4,8,1,3,6,2,5,7]=>[5,1,8,6,3,7,4,2]=>[1,2,1,2,1,1]=>11011011=>4 [3,6,8,1,4,7,2,5]=>[6,3,1,8,5,2,7,4]=>[1,1,2,1,2,1]=>11101101=>4 [3,6,1,4,7,8,2,5]=>[6,3,8,5,2,1,7,4]=>[1,2,1,1,2,1]=>11011101=>4 [4,1,3,6,2,5,7,8]=>[5,8,6,3,7,4,2,1]=>[2,1,2,1,1,1]=>10110111=>4 [3,8,4,6,1,2,5,7]=>[6,1,5,3,8,7,4,2]=>[1,2,2,1,1,1]=>11010111=>4 [2,5,3,6,8,1,4,7]=>[7,4,6,3,1,8,5,2]=>[1,2,1,2,1,1]=>11011011=>4 [2,5,7,1,3,6,4,8]=>[7,4,2,8,6,3,5,1]=>[1,1,2,1,2,1]=>11101101=>4 [2,8,3,5,7,4,6,1]=>[7,1,6,4,2,5,3,8]=>[1,2,1,2,2]=>11011010=>5 [1,4,7,2,5,3,6,8]=>[8,5,2,7,4,6,3,1]=>[1,1,2,2,1,1]=>11101011=>4 [4,5,3,1,2,6,8,7]=>[5,4,6,8,7,3,1,2]=>[1,3,1,1,2]=>11001110=>3 [4,5,1,3,8,2,6,7]=>[5,4,8,6,1,7,3,2]=>[1,2,1,2,1,1]=>11011011=>4 [7,3,5,1,4,2,6,8]=>[2,6,4,8,5,7,3,1]=>[2,2,2,1,1]=>10101011=>6 [6,2,1,7,4,3,8,5]=>[3,7,8,2,5,6,1,4]=>[3,3,2]=>10010010=>5 [2,4,3,6,7,1,5,8]=>[7,5,6,3,2,8,4,1]=>[1,2,1,2,1,1]=>11011011=>4 [7,3,5,2,1,6,4,8]=>[2,6,4,7,8,3,5,1]=>[2,3,2,1]=>10100101=>6 [4,6,5,2,1,3,7,8]=>[5,3,4,7,8,6,2,1]=>[1,4,1,1,1]=>11000111=>2 [2,5,6,1,4,3,7,8]=>[7,4,3,8,5,6,2,1]=>[1,1,2,2,1,1]=>11101011=>4 [6,1,5,3,7,2,4,8]=>[3,8,4,6,2,7,5,1]=>[2,2,2,1,1]=>10101011=>6 [3,6,5,4,1,7,2,8]=>[6,3,4,5,8,2,7,1]=>[1,4,2,1]=>11000101=>4 [6,8,7,5,4,2,1,3]=>[3,1,2,4,5,7,8,6]=>[1,6,1]=>11000001=>2 [8,7,5,4,6,1,3,2]=>[1,2,4,5,3,8,6,7]=>[4,2,2]=>10001010=>5 [1,7,8,2,4,6,3,5]=>[8,2,1,7,5,3,6,4]=>[1,1,2,1,2,1]=>11101101=>4 [7,5,4,8,1,3,6,2]=>[2,4,5,1,8,6,3,7]=>[3,2,1,2]=>10010110=>5 [5,6,1,8,4,3,7,2]=>[4,3,8,1,5,6,2,7]=>[1,2,3,2]=>11010010=>5 [1,8,2,6,7,5,4,3]=>[8,1,7,3,2,4,5,6]=>[1,2,1,4]=>11011000=>3 [4,7,3,6,2,8,5,1]=>[5,2,6,3,7,1,4,8]=>[1,2,2,3]=>11010100=>5 [8,5,4,2,7,3,6,1]=>[1,4,5,7,2,6,3,8]=>[4,2,2]=>10001010=>5 [8,4,3,7,6,2,5,1]=>[1,5,6,2,3,7,4,8]=>[3,3,2]=>10010010=>5 [5,1,8,3,4,7,6,2]=>[4,8,1,6,5,2,3,7]=>[2,2,1,3]=>10101100=>5 [4,1,8,3,5,7,6,2]=>[5,8,1,6,4,2,3,7]=>[2,2,1,3]=>10101100=>5 [3,8,4,7,6,2,5,1]=>[6,1,5,2,3,7,4,8]=>[1,2,3,2]=>11010010=>5 [1,8,2,6,7,5,3,4]=>[8,1,7,3,2,4,6,5]=>[1,2,1,3,1]=>11011001=>4 [7,4,3,6,2,8,5,1]=>[2,5,6,3,7,1,4,8]=>[3,2,3]=>10010100=>5 [8,5,2,7,4,3,6,1]=>[1,4,7,2,5,6,3,8]=>[3,3,2]=>10010010=>5 [7,4,2,8,5,3,6,1]=>[2,5,7,1,4,6,3,8]=>[3,3,2]=>10010010=>5 [7,3,2,1,6,5,4,8]=>[2,6,7,8,3,4,5,1]=>[4,3,1]=>10001001=>4 [7,2,6,1,4,3,5,8]=>[2,7,3,8,5,6,4,1]=>[2,2,2,1,1]=>10101011=>6 [6,2,1,8,5,3,4,7]=>[3,7,8,1,4,6,5,2]=>[3,3,1,1]=>10010011=>4 [3,8,6,1,2,4,5,7]=>[6,1,3,8,7,5,4,2]=>[1,3,1,1,1,1]=>11001111=>2 [2,8,1,6,5,3,4,7]=>[7,1,8,3,4,6,5,2]=>[1,2,3,1,1]=>11010011=>4 [5,3,2,1,8,7,4,6]=>[4,6,7,8,1,2,5,3]=>[4,3,1]=>10001001=>4 [1,8,5,3,2,7,4,6]=>[8,1,4,6,7,2,5,3]=>[1,4,2,1]=>11000101=>4 [1,8,4,7,2,3,5,6]=>[8,1,5,2,7,6,4,3]=>[1,2,2,1,1,1]=>11010111=>4 [3,1,8,7,2,5,4,6]=>[6,8,1,2,7,4,5,3]=>[2,3,2,1]=>10100101=>6 [3,8,1,6,2,5,4,7]=>[6,1,8,3,7,4,5,2]=>[1,2,2,2,1]=>11010101=>6 [3,8,1,4,2,7,6,5]=>[6,1,8,5,7,2,3,4]=>[1,2,2,3]=>11010100=>5 [3,2,8,1,7,5,4,6]=>[6,7,1,8,2,4,5,3]=>[2,2,3,1]=>10101001=>6 [7,1,5,6,2,3,4,8]=>[2,8,4,3,7,6,5,1]=>[2,1,2,1,1,1]=>10110111=>4 [6,5,1,7,2,3,4,8]=>[3,4,8,2,7,6,5,1]=>[3,2,1,1,1]=>10010111=>4 [1,6,8,2,7,3,4,5]=>[8,3,1,7,2,6,5,4]=>[1,1,2,2,1,1]=>11101011=>4 [6,5,1,2,4,7,3,8]=>[3,4,8,7,5,2,6,1]=>[3,1,1,2,1]=>10011101=>4 [8,5,2,1,4,7,3,6]=>[1,4,7,8,5,2,6,3]=>[4,1,2,1]=>10001101=>4 [6,1,5,7,2,3,4,8]=>[3,8,4,2,7,6,5,1]=>[2,1,2,1,1,1]=>10110111=>4 [2,8,6,5,7,3,4,1]=>[7,1,3,4,2,6,5,8]=>[1,3,2,2]=>11001010=>5 [2,5,6,3,7,1,4,8]=>[7,4,3,6,2,8,5,1]=>[1,1,2,2,1,1]=>11101011=>4 [4,1,3,6,7,8,5,2]=>[5,8,6,3,2,1,4,7]=>[2,1,1,1,3]=>10111100=>3 [1,6,5,7,3,2,4,8]=>[8,3,4,2,6,7,5,1]=>[1,2,3,1,1]=>11010011=>4 [7,4,1,5,6,8,3,2]=>[2,5,8,4,3,1,6,7]=>[3,1,1,3]=>10011100=>3 [7,6,4,1,2,8,3,5]=>[2,3,5,8,7,1,6,4]=>[4,1,2,1]=>10001101=>4 [8,3,6,5,7,2,4,1]=>[1,6,3,4,2,7,5,8]=>[2,2,2,2]=>10101010=>7 [4,1,2,6,7,8,5,3]=>[5,8,7,3,2,1,4,6]=>[2,1,1,1,3]=>10111100=>3 [4,6,1,5,8,3,2,7]=>[5,3,8,4,1,6,7,2]=>[1,2,1,3,1]=>11011001=>4 [2,5,7,1,8,4,6,3]=>[7,4,2,8,1,5,3,6]=>[1,1,2,2,2]=>11101010=>5 [6,8,1,5,4,3,2,7]=>[3,1,8,4,5,6,7,2]=>[1,2,4,1]=>11010001=>4 [7,5,8,1,3,4,6,2]=>[2,4,1,8,6,5,3,7]=>[2,2,1,1,2]=>10101110=>5 [7,6,2,1,4,8,5,3]=>[2,3,7,8,5,1,4,6]=>[4,1,3]=>10001100=>3 [7,2,6,1,4,8,5,3]=>[2,7,3,8,5,1,4,6]=>[2,2,1,3]=>10101100=>5 [2,7,8,1,4,6,5,3]=>[7,2,1,8,5,3,4,6]=>[1,1,2,1,3]=>11101100=>3 [3,6,2,4,5,7,8,1]=>[6,3,7,5,4,2,1,8]=>[1,2,1,1,1,2]=>11011110=>3 [3,7,8,2,1,4,5,6]=>[6,2,1,7,8,5,4,3]=>[1,1,3,1,1,1]=>11100111=>2 [8,4,7,1,3,5,6,2]=>[1,5,2,8,6,4,3,7]=>[2,2,1,1,2]=>10101110=>5 [4,8,3,5,6,2,1,7]=>[5,1,6,4,3,7,8,2]=>[1,2,1,3,1]=>11011001=>4 [4,8,3,5,6,2,7,1]=>[5,1,6,4,3,7,2,8]=>[1,2,1,2,2]=>11011010=>5 [1,8,6,7,2,4,5,3]=>[8,1,3,2,7,5,4,6]=>[1,2,2,1,2]=>11010110=>5 [5,7,8,1,4,3,6,2]=>[4,2,1,8,5,6,3,7]=>[1,1,2,2,2]=>11101010=>5 [3,7,8,1,5,2,6,4]=>[6,2,1,8,4,7,3,5]=>[1,1,2,2,2]=>11101010=>5 [1,7,8,6,2,4,5,3]=>[8,2,1,3,7,5,4,6]=>[1,1,3,1,2]=>11100110=>3 [7,6,8,5,1,3,4,2]=>[2,3,1,4,8,6,5,7]=>[2,3,1,2]=>10100110=>5 [3,6,7,1,4,5,8,2]=>[6,3,2,8,5,4,1,7]=>[1,1,2,1,1,2]=>11101110=>3 [1,8,5,6,3,4,7,2]=>[8,1,4,3,6,5,2,7]=>[1,2,2,1,2]=>11010110=>5 [5,1,4,6,3,7,2,8]=>[4,8,5,3,6,2,7,1]=>[2,1,2,2,1]=>10110101=>6 [1,4,6,5,2,3,7,8]=>[8,5,3,4,7,6,2,1]=>[1,1,3,1,1,1]=>11100111=>2 [1,5,4,7,8,3,6,2]=>[8,4,5,2,1,6,3,7]=>[1,2,1,2,2]=>11011010=>5 [1,4,8,5,7,3,6,2]=>[8,5,1,4,2,6,3,7]=>[1,1,2,2,2]=>11101010=>5 [5,2,4,7,8,3,6,1]=>[4,7,5,2,1,6,3,8]=>[2,1,1,2,2]=>10111010=>5 [3,8,6,1,2,7,5,4]=>[6,1,3,8,7,2,4,5]=>[1,3,1,3]=>11001100=>3 [4,8,1,5,6,2,3,7]=>[5,1,8,4,3,7,6,2]=>[1,2,1,2,1,1]=>11011011=>4 [4,1,8,5,3,7,2,6]=>[5,8,1,4,6,2,7,3]=>[2,3,2,1]=>10100101=>6 [6,1,4,3,7,2,8,5]=>[3,8,5,6,2,7,1,4]=>[2,2,2,2]=>10101010=>7 [5,6,4,1,7,3,8,2]=>[4,3,5,8,2,6,1,7]=>[1,3,2,2]=>11001010=>5 [3,7,8,5,4,2,1,6]=>[6,2,1,4,5,7,8,3]=>[1,1,5,1]=>11100001=>2 [7,1,4,5,8,6,3,2]=>[2,8,5,4,1,3,6,7]=>[2,1,1,4]=>10111000=>3 [7,2,4,5,6,8,3,1]=>[2,7,5,4,3,1,6,8]=>[2,1,1,1,3]=>10111100=>3 [2,7,4,5,6,8,3,1]=>[7,2,5,4,3,1,6,8]=>[1,2,1,1,3]=>11011100=>3 [5,7,4,3,1,6,8,2]=>[4,2,5,6,8,3,1,7]=>[1,4,1,2]=>11000110=>3 [5,4,1,6,3,8,2,7]=>[4,5,8,3,6,1,7,2]=>[3,2,2,1]=>10010101=>6 [2,4,7,8,3,1,6,5]=>[7,5,2,1,6,8,3,4]=>[1,1,1,3,2]=>11110010=>3 [5,4,3,6,8,1,7,2]=>[4,5,6,3,1,8,2,7]=>[3,1,2,2]=>10011010=>5 [3,7,4,5,8,1,6,2]=>[6,2,5,4,1,8,3,7]=>[1,2,1,2,2]=>11011010=>5 [1,4,3,5,6,8,2,7]=>[8,5,6,4,3,1,7,2]=>[1,2,1,1,2,1]=>11011101=>4 [1,4,6,5,8,2,7,3]=>[8,5,3,4,1,7,2,6]=>[1,1,2,2,2]=>11101010=>5 [4,6,1,7,3,2,8,5]=>[5,3,8,2,6,7,1,4]=>[1,2,3,2]=>11010010=>5 [1,7,3,6,4,2,8,5]=>[8,2,6,3,5,7,1,4]=>[1,2,3,2]=>11010010=>5 [4,7,3,5,1,2,8,6]=>[5,2,6,4,8,7,1,3]=>[1,2,2,1,2]=>11010110=>5 [1,6,4,2,3,5,8,7]=>[8,3,5,7,6,4,1,2]=>[1,3,1,1,2]=>11001110=>3 [4,8,3,5,2,1,6,7]=>[5,1,6,4,7,8,3,2]=>[1,2,3,1,1]=>11010011=>4 [1,6,8,4,7,5,3,2]=>[8,3,1,5,2,4,6,7]=>[1,1,2,4]=>11101000=>3 [8,7,3,1,5,2,6,4]=>[1,2,6,8,4,7,3,5]=>[4,2,2]=>10001010=>5 [8,7,1,5,6,4,2,3]=>[1,2,8,4,3,5,7,6]=>[3,1,3,1]=>10011001=>4 [8,7,3,6,1,4,5,2]=>[1,2,6,3,8,5,4,7]=>[3,2,1,2]=>10010110=>5 [8,7,1,4,6,3,5,2]=>[1,2,8,5,3,6,4,7]=>[3,1,2,2]=>10011010=>5 [6,8,2,1,3,7,5,4]=>[3,1,7,8,6,2,4,5]=>[1,3,1,3]=>11001100=>3 [8,2,3,6,7,5,4,1]=>[1,7,6,3,2,4,5,8]=>[2,1,1,4]=>10111000=>3 [8,7,3,6,2,4,5,1]=>[1,2,6,3,7,5,4,8]=>[3,2,1,2]=>10010110=>5 [2,8,7,1,3,5,4,6]=>[7,1,2,8,6,4,5,3]=>[1,3,1,2,1]=>11001101=>4 [7,1,8,2,4,5,3,6]=>[2,8,1,7,5,4,6,3]=>[2,2,1,2,1]=>10101101=>6 [5,7,8,2,3,4,1,6]=>[4,2,1,7,6,5,8,3]=>[1,1,2,1,2,1]=>11101101=>4 [5,6,1,2,8,7,3,4]=>[4,3,8,7,1,2,6,5]=>[1,2,1,3,1]=>11011001=>4 [6,5,7,2,3,8,1,4]=>[3,4,2,7,6,1,8,5]=>[2,2,1,2,1]=>10101101=>6 [3,7,5,4,6,2,1,8]=>[6,2,4,5,3,7,8,1]=>[1,3,3,1]=>11001001=>4 [1,4,7,5,3,6,8,2]=>[8,5,2,4,6,3,1,7]=>[1,1,3,1,2]=>11100110=>3 [8,1,7,5,2,6,3,4]=>[1,8,2,4,7,3,6,5]=>[2,3,2,1]=>10100101=>6 [4,1,8,2,7,6,3,5]=>[5,8,1,7,2,3,6,4]=>[2,2,3,1]=>10101001=>6 [3,8,5,1,7,6,2,4]=>[6,1,4,8,2,3,7,5]=>[1,3,3,1]=>11001001=>4 [8,7,1,3,2,6,4,5]=>[1,2,8,6,7,3,5,4]=>[3,2,2,1]=>10010101=>6 [3,8,5,7,6,2,1,4]=>[6,1,4,2,3,7,8,5]=>[1,2,4,1]=>11010001=>4 [8,2,7,3,6,4,1,5]=>[1,7,2,6,3,5,8,4]=>[2,2,3,1]=>10101001=>6 [2,7,6,4,8,3,1,5]=>[7,2,3,5,1,6,8,4]=>[1,3,3,1]=>11001001=>4 [2,6,3,7,5,8,4,1]=>[7,3,6,2,4,1,5,8]=>[1,2,2,3]=>11010100=>5 [7,5,1,2,3,8,4,6]=>[2,4,8,7,6,1,5,3]=>[3,1,1,2,1]=>10011101=>4 [2,8,3,5,6,1,7,4]=>[7,1,6,4,3,8,2,5]=>[1,2,1,2,2]=>11011010=>5 [5,1,2,4,7,3,6,8]=>[4,8,7,5,2,6,3,1]=>[2,1,1,2,1,1]=>10111011=>4 [6,1,3,5,2,4,7,8]=>[3,8,6,4,7,5,2,1]=>[2,1,2,1,1,1]=>10110111=>4 [4,7,3,2,6,5,1,8]=>[5,2,6,7,3,4,8,1]=>[1,3,3,1]=>11001001=>4 [4,3,7,8,2,1,6,5]=>[5,6,2,1,7,8,3,4]=>[2,1,3,2]=>10110010=>5 [4,8,7,2,1,5,6,3]=>[5,1,2,7,8,4,3,6]=>[1,4,1,2]=>11000110=>3 [7,3,8,2,5,1,6,4]=>[2,6,1,7,4,8,3,5]=>[2,2,2,2]=>10101010=>7 [4,5,3,8,6,1,2,7]=>[5,4,6,1,3,8,7,2]=>[1,2,3,1,1]=>11010011=>4 [6,3,5,8,4,1,2,7]=>[3,6,4,1,5,8,7,2]=>[2,1,3,1,1]=>10110011=>4 [7,3,8,4,5,1,2,6]=>[2,6,1,5,4,8,7,3]=>[2,2,2,1,1]=>10101011=>6 [4,8,7,5,1,2,6,3]=>[5,1,2,4,8,7,3,6]=>[1,4,1,2]=>11000110=>3 [7,8,4,6,1,3,5,2]=>[2,1,5,3,8,6,4,7]=>[1,2,2,1,2]=>11010110=>5 [4,8,7,5,1,3,6,2]=>[5,1,2,4,8,6,3,7]=>[1,4,1,2]=>11000110=>3 [4,5,3,6,8,1,2,7]=>[5,4,6,3,1,8,7,2]=>[1,2,1,2,1,1]=>11011011=>4 [7,8,6,2,1,4,3,5]=>[2,1,3,7,8,5,6,4]=>[1,4,2,1]=>11000101=>4 [7,8,6,3,1,2,5,4]=>[2,1,3,6,8,7,4,5]=>[1,4,1,2]=>11000110=>3 [3,7,6,4,1,5,2,8]=>[6,2,3,5,8,4,7,1]=>[1,4,2,1]=>11000101=>4 [8,6,3,1,2,7,5,4]=>[1,3,6,8,7,2,4,5]=>[4,1,3]=>10001100=>3 [5,8,3,1,4,7,2,6]=>[4,1,6,8,5,2,7,3]=>[1,3,1,2,1]=>11001101=>4 [7,6,4,1,5,8,2,3]=>[2,3,5,8,4,1,7,6]=>[4,1,2,1]=>10001101=>4 [3,1,2,5,8,7,6,4]=>[6,8,7,4,1,2,3,5]=>[2,1,1,4]=>10111000=>3 [8,3,7,6,4,1,2,5]=>[1,6,2,3,5,8,7,4]=>[2,4,1,1]=>10100011=>4 [4,3,8,6,2,1,5,7]=>[5,6,1,3,7,8,4,2]=>[2,4,1,1]=>10100011=>4 [4,6,8,5,2,3,1,7]=>[5,3,1,4,7,6,8,2]=>[1,1,3,2,1]=>11100101=>4 [8,7,1,3,2,6,5,4]=>[1,2,8,6,7,3,4,5]=>[3,2,3]=>10010100=>5 [8,7,1,3,2,4,5,6]=>[1,2,8,6,7,5,4,3]=>[3,2,1,1,1]=>10010111=>4 [4,1,3,5,7,2,8,6]=>[5,8,6,4,2,7,1,3]=>[2,1,1,2,2]=>10111010=>5 [5,1,8,2,4,6,3,7]=>[4,8,1,7,5,3,6,2]=>[2,2,1,2,1]=>10101101=>6 [6,8,2,1,4,5,3,7]=>[3,1,7,8,5,4,6,2]=>[1,3,1,2,1]=>11001101=>4 [4,2,7,3,6,8,5,1]=>[5,7,2,6,3,1,4,8]=>[2,2,1,3]=>10101100=>5 [3,1,5,8,6,7,2,4]=>[6,8,4,1,3,2,7,5]=>[2,1,2,2,1]=>10110101=>6 [6,8,2,1,4,5,7,3]=>[3,1,7,8,5,4,2,6]=>[1,3,1,1,2]=>11001110=>3 [1,5,4,8,7,3,2,6]=>[8,4,5,1,2,6,7,3]=>[1,2,4,1]=>11010001=>4 [5,2,4,6,7,3,1,8]=>[4,7,5,3,2,6,8,1]=>[2,1,1,3,1]=>10111001=>4 [4,7,1,3,5,8,2,6]=>[5,2,8,6,4,1,7,3]=>[1,2,1,1,2,1]=>11011101=>4 [2,5,1,7,3,6,4,8]=>[7,4,8,2,6,3,5,1]=>[1,2,2,2,1]=>11010101=>6 [2,7,5,1,4,3,8,6]=>[7,2,4,8,5,6,1,3]=>[1,3,2,2]=>11001010=>5 [3,6,4,1,5,8,2,7]=>[6,3,5,8,4,1,7,2]=>[1,3,1,2,1]=>11001101=>4 [7,1,2,4,3,6,8,5]=>[2,8,7,5,6,3,1,4]=>[2,1,2,1,2]=>10110110=>5 [7,3,6,1,4,5,8,2]=>[2,6,3,8,5,4,1,7]=>[2,2,1,1,2]=>10101110=>5 [7,1,4,5,8,3,6,2]=>[2,8,5,4,1,6,3,7]=>[2,1,1,2,2]=>10111010=>5 [7,3,6,5,1,2,4,8]=>[2,6,3,4,8,7,5,1]=>[2,3,1,1,1]=>10100111=>4 [7,5,8,1,2,4,3,6]=>[2,4,1,8,7,5,6,3]=>[2,2,1,2,1]=>10101101=>6 [7,1,2,4,3,6,5,8]=>[2,8,7,5,6,3,4,1]=>[2,1,2,2,1]=>10110101=>6 [7,5,8,1,2,4,6,3]=>[2,4,1,8,7,5,3,6]=>[2,2,1,1,2]=>10101110=>5 [3,5,8,1,4,2,6,7]=>[6,4,1,8,5,7,3,2]=>[1,1,2,2,1,1]=>11101011=>4 [5,3,4,6,8,7,1,2]=>[4,6,5,3,1,2,8,7]=>[2,1,1,3,1]=>10111001=>4 [3,4,8,5,1,2,6,7]=>[6,5,1,4,8,7,3,2]=>[1,1,3,1,1,1]=>11100111=>2 [5,8,3,1,2,6,7,4]=>[4,1,6,8,7,3,2,5]=>[1,3,1,1,2]=>11001110=>3 [5,7,1,6,3,4,8,2]=>[4,2,8,3,6,5,1,7]=>[1,2,2,1,2]=>11010110=>5 [3,5,2,1,6,7,4,8]=>[6,4,7,8,3,2,5,1]=>[1,3,1,2,1]=>11001101=>4 [6,1,5,2,8,7,4,3]=>[3,8,4,7,1,2,5,6]=>[2,2,4]=>10101000=>5 [2,6,1,5,8,7,4,3]=>[7,3,8,4,1,2,5,6]=>[1,2,1,4]=>11011000=>3 [7,4,1,2,6,3,5,8]=>[2,5,8,7,3,6,4,1]=>[3,1,2,1,1]=>10011011=>4 [6,2,5,1,4,3,7,8]=>[3,7,4,8,5,6,2,1]=>[2,2,2,1,1]=>10101011=>6 [6,1,4,7,5,3,2,8]=>[3,8,5,2,4,6,7,1]=>[2,1,4,1]=>10110001=>4 [4,5,2,1,7,3,6,8]=>[5,4,7,8,2,6,3,1]=>[1,3,2,1,1]=>11001011=>4 [3,1,2,8,4,7,6,5]=>[6,8,7,1,5,2,3,4]=>[2,1,2,3]=>10110100=>5 [5,4,6,7,1,3,2,8]=>[4,5,3,2,8,6,7,1]=>[2,1,2,2,1]=>10110101=>6 [6,4,1,3,8,5,2,7]=>[3,5,8,6,1,4,7,2]=>[3,1,3,1]=>10011001=>4 [7,1,4,3,8,5,2,6]=>[2,8,5,6,1,4,7,3]=>[2,2,3,1]=>10101001=>6 [5,3,1,4,6,7,2,8]=>[4,6,8,5,3,2,7,1]=>[3,1,1,2,1]=>10011101=>4 [6,5,1,3,4,7,2,8]=>[3,4,8,6,5,2,7,1]=>[3,1,1,2,1]=>10011101=>4 [6,5,1,2,4,3,7,8]=>[3,4,8,7,5,6,2,1]=>[3,1,2,1,1]=>10011011=>4 [4,5,1,8,6,3,2,7]=>[5,4,8,1,3,6,7,2]=>[1,2,4,1]=>11010001=>4 [8,4,6,3,1,2,7,5]=>[1,5,3,6,8,7,2,4]=>[2,3,1,2]=>10100110=>5 [3,8,6,4,1,5,7,2]=>[6,1,3,5,8,4,2,7]=>[1,4,1,2]=>11000110=>3 [8,7,1,4,5,2,3,6]=>[1,2,8,5,4,7,6,3]=>[3,1,2,1,1]=>10011011=>4 [3,8,6,4,5,1,7,2]=>[6,1,3,5,4,8,2,7]=>[1,3,2,2]=>11001010=>5 [4,6,3,5,7,1,2,8]=>[5,3,6,4,2,8,7,1]=>[1,2,1,2,1,1]=>11011011=>4 [4,7,3,5,8,6,1,2]=>[5,2,6,4,1,3,8,7]=>[1,2,1,3,1]=>11011001=>4 [4,8,3,5,6,1,2,7]=>[5,1,6,4,3,8,7,2]=>[1,2,1,2,1,1]=>11011011=>4 [4,7,2,5,6,8,1,3]=>[5,2,7,4,3,1,8,6]=>[1,2,1,1,2,1]=>11011101=>4 [1,4,7,2,6,5,8,3]=>[8,5,2,7,3,4,1,6]=>[1,1,2,2,2]=>11101010=>5 [1,5,7,2,6,4,8,3]=>[8,4,2,7,3,5,1,6]=>[1,1,2,2,2]=>11101010=>5 [7,2,4,6,1,8,3,5]=>[2,7,5,3,8,1,6,4]=>[2,1,2,2,1]=>10110101=>6 [4,5,6,2,1,8,3,7]=>[5,4,3,7,8,1,6,2]=>[1,1,3,2,1]=>11100101=>4 [1,2,7,8,3,5,4,6]=>[8,7,2,1,6,4,5,3]=>[1,1,1,2,2,1]=>11110101=>4 [6,1,4,5,8,2,3,7]=>[3,8,5,4,1,7,6,2]=>[2,1,1,2,1,1]=>10111011=>4 [1,7,6,2,8,5,4,3]=>[8,2,3,7,1,4,5,6]=>[1,3,4]=>11001000=>3 [1,7,6,8,3,4,2,5]=>[8,2,3,1,6,5,7,4]=>[1,2,2,2,1]=>11010101=>6 [7,6,2,5,8,4,1,3]=>[2,3,7,4,1,5,8,6]=>[3,1,3,1]=>10011001=>4 [7,1,4,5,8,3,2,6]=>[2,8,5,4,1,6,7,3]=>[2,1,1,3,1]=>10111001=>4 [3,4,1,7,8,6,5,2]=>[6,5,8,2,1,3,4,7]=>[1,2,1,4]=>11011000=>3 [2,4,8,6,5,7,1,3]=>[7,5,1,3,4,2,8,6]=>[1,1,3,2,1]=>11100101=>4 [5,1,3,4,8,2,7,6]=>[4,8,6,5,1,7,2,3]=>[2,1,1,2,2]=>10111010=>5 [8,7,3,6,1,4,2,5]=>[1,2,6,3,8,5,7,4]=>[3,2,2,1]=>10010101=>6 [6,5,1,8,3,4,7,2]=>[3,4,8,1,6,5,2,7]=>[3,2,1,2]=>10010110=>5 [8,2,1,5,6,4,7,3]=>[1,7,8,4,3,5,2,6]=>[3,1,2,2]=>10011010=>5 [7,5,6,1,3,4,8,2]=>[2,4,3,8,6,5,1,7]=>[2,2,1,1,2]=>10101110=>5 [2,1,5,6,3,8,7,4]=>[7,8,4,3,6,1,2,5]=>[2,1,2,3]=>10110100=>5 [3,2,7,5,8,6,4,1]=>[6,7,2,4,1,3,5,8]=>[2,2,4]=>10101000=>5 [2,4,5,3,8,1,7,6]=>[7,5,4,6,1,8,2,3]=>[1,1,2,2,2]=>11101010=>5 [7,2,5,4,3,8,6,1]=>[2,7,4,5,6,1,3,8]=>[2,3,3]=>10100100=>5 [8,5,3,1,2,6,7,4]=>[1,4,6,8,7,3,2,5]=>[4,1,1,2]=>10001110=>3 [7,2,5,1,3,6,8,4]=>[2,7,4,8,6,3,1,5]=>[2,2,1,1,2]=>10101110=>5 [8,4,3,7,1,6,2,5]=>[1,5,6,2,8,3,7,4]=>[3,2,2,1]=>10010101=>6 [8,4,7,3,1,2,6,5]=>[1,5,2,6,8,7,3,4]=>[2,3,1,2]=>10100110=>5 [4,8,1,6,2,5,7,3]=>[5,1,8,3,7,4,2,6]=>[1,2,2,1,2]=>11010110=>5 [2,4,8,3,6,5,7,1]=>[7,5,1,6,3,4,2,8]=>[1,1,2,2,2]=>11101010=>5 [4,2,1,8,6,5,7,3]=>[5,7,8,1,3,4,2,6]=>[3,3,2]=>10010010=>5 [4,7,8,5,2,1,6,3]=>[5,2,1,4,7,8,3,6]=>[1,1,4,2]=>11100010=>3 [3,1,8,2,6,5,7,4]=>[6,8,1,7,3,4,2,5]=>[2,2,2,2]=>10101010=>7 [2,8,3,6,1,5,7,4]=>[7,1,6,3,8,4,2,5]=>[1,2,2,1,2]=>11010110=>5 [6,2,8,3,5,4,1,7]=>[3,7,1,6,4,5,8,2]=>[2,2,3,1]=>10101001=>6 [7,3,8,4,6,5,2,1]=>[2,6,1,5,3,4,7,8]=>[2,2,4]=>10101000=>5 [2,4,1,8,6,5,7,3]=>[7,5,8,1,3,4,2,6]=>[1,2,3,2]=>11010010=>5 [1,3,8,4,6,5,2,7]=>[8,6,1,5,3,4,7,2]=>[1,1,2,3,1]=>11101001=>4 [4,6,7,8,5,2,1,3]=>[5,3,2,1,4,7,8,6]=>[1,1,1,4,1]=>11110001=>2 [4,7,2,1,8,6,5,3]=>[5,2,7,8,1,3,4,6]=>[1,3,4]=>11001000=>3 [5,6,2,8,4,1,7,3]=>[4,3,7,1,5,8,2,6]=>[1,2,3,2]=>11010010=>5 [5,7,2,4,8,6,1,3]=>[4,2,7,5,1,3,8,6]=>[1,2,1,3,1]=>11011001=>4 [6,7,3,2,8,5,1,4]=>[3,2,6,7,1,4,8,5]=>[1,3,3,1]=>11001001=>4 [7,2,3,1,8,6,5,4]=>[2,7,6,8,1,3,4,5]=>[2,2,4]=>10101000=>5 [7,2,8,3,5,6,1,4]=>[2,7,1,6,4,3,8,5]=>[2,2,1,2,1]=>10101101=>6 [7,2,3,8,4,6,1,5]=>[2,7,6,1,5,3,8,4]=>[2,1,2,2,1]=>10110101=>6 [1,7,3,4,8,5,2,6]=>[8,2,6,5,1,4,7,3]=>[1,2,1,3,1]=>11011001=>4 [1,7,3,8,5,4,2,6]=>[8,2,6,1,4,5,7,3]=>[1,2,4,1]=>11010001=>4 [2,8,6,4,3,1,7,5]=>[7,1,3,5,6,8,2,4]=>[1,5,2]=>11000010=>3 [1,7,3,4,8,2,5,6]=>[8,2,6,5,1,7,4,3]=>[1,2,1,2,1,1]=>11011011=>4 [1,5,8,3,4,6,2,7]=>[8,4,1,6,5,3,7,2]=>[1,1,2,1,2,1]=>11101101=>4 [1,3,8,4,2,5,7,6]=>[8,6,1,5,7,4,2,3]=>[1,1,3,1,2]=>11100110=>3 [1,4,7,6,2,3,8,5]=>[8,5,2,3,7,6,1,4]=>[1,1,3,1,2]=>11100110=>3 [2,7,4,5,1,8,6,3]=>[7,2,5,4,8,1,3,6]=>[1,2,2,3]=>11010100=>5 [1,4,2,3,7,8,6,5]=>[8,5,7,6,2,1,3,4]=>[1,2,1,1,3]=>11011100=>3 [6,7,1,2,4,8,3,5]=>[3,2,8,7,5,1,6,4]=>[1,2,1,1,2,1]=>11011101=>4 [3,2,4,8,5,6,1,7]=>[6,7,5,1,4,3,8,2]=>[2,1,2,2,1]=>10110101=>6 [3,8,4,6,2,7,1,5]=>[6,1,5,3,7,2,8,4]=>[1,2,2,2,1]=>11010101=>6 [3,1,7,4,5,2,6,8]=>[6,8,2,5,4,7,3,1]=>[2,2,2,1,1]=>10101011=>6 [7,3,4,8,1,2,6,5]=>[2,6,5,1,8,7,3,4]=>[2,1,2,1,2]=>10110110=>5 [6,2,1,5,7,8,4,3]=>[3,7,8,4,2,1,5,6]=>[3,1,1,3]=>10011100=>3 [5,7,1,6,4,8,3,2]=>[4,2,8,3,5,1,6,7]=>[1,2,2,3]=>11010100=>5 [3,5,4,1,2,7,8,6]=>[6,4,5,8,7,2,1,3]=>[1,3,1,1,2]=>11001110=>3 [1,9,7,8,6,5,4,3,2]=>[9,1,3,2,4,5,6,7,8]=>[1,2,6]=>110100000=>3 [1,5,8,6,7,4,3,2]=>[8,4,1,3,2,5,6,7]=>[1,1,2,4]=>11101000=>3 [1,3,4,8,6,2,5,7]=>[8,6,5,1,3,7,4,2]=>[1,1,1,3,1,1]=>11110011=>2 [6,3,1,4,5,7,2,8]=>[3,6,8,5,4,2,7,1]=>[3,1,1,2,1]=>10011101=>4 [3,4,8,2,6,1,5,7]=>[6,5,1,7,3,8,4,2]=>[1,1,2,2,1,1]=>11101011=>4 [7,4,8,2,1,6,5,3]=>[2,5,1,7,8,3,4,6]=>[2,3,3]=>10100100=>5 [1,2,6,3,5,7,4,8]=>[8,7,3,6,4,2,5,1]=>[1,1,2,1,2,1]=>11101101=>4 [4,6,3,7,5,1,2,8]=>[5,3,6,2,4,8,7,1]=>[1,2,3,1,1]=>11010011=>4 [7,4,5,8,1,3,6,2]=>[2,5,4,1,8,6,3,7]=>[2,1,2,1,2]=>10110110=>5 [1,7,8,6,4,2,5,3]=>[8,2,1,3,5,7,4,6]=>[1,1,4,2]=>11100010=>3 [7,2,5,8,4,6,1,3]=>[2,7,4,1,5,3,8,6]=>[2,1,2,2,1]=>10110101=>6 [3,6,8,7,5,1,4,2]=>[6,3,1,2,4,8,5,7]=>[1,1,4,2]=>11100010=>3 [3,1,5,7,4,8,2,6]=>[6,8,4,2,5,1,7,3]=>[2,1,2,2,1]=>10110101=>6 [7,2,4,6,1,5,8,3]=>[2,7,5,3,8,4,1,6]=>[2,1,2,1,2]=>10110110=>5 [8,7,1,6,4,2,5,3]=>[1,2,8,3,5,7,4,6]=>[3,3,2]=>10010010=>5 [2,6,3,5,1,7,8,4]=>[7,3,6,4,8,2,1,5]=>[1,2,2,1,2]=>11010110=>5 [1,4,3,6,2,5,8,7]=>[8,5,6,3,7,4,1,2]=>[1,2,2,1,2]=>11010110=>5 [1,4,6,3,2,5,8,7]=>[8,5,3,6,7,4,1,2]=>[1,1,3,1,2]=>11100110=>3 [1,4,6,3,8,2,5,7]=>[8,5,3,6,1,7,4,2]=>[1,1,2,2,1,1]=>11101011=>4 [6,8,4,1,5,7,2,3]=>[3,1,5,8,4,2,7,6]=>[1,3,1,2,1]=>11001101=>4 [5,2,6,7,4,1,8,3]=>[4,7,3,2,5,8,1,6]=>[2,1,3,2]=>10110010=>5 [8,5,6,4,1,7,3,2]=>[1,4,3,5,8,2,6,7]=>[2,3,3]=>10100100=>5 [7,8,3,1,6,4,5,2]=>[2,1,6,8,3,5,4,7]=>[1,3,2,2]=>11001010=>5 [4,5,8,1,6,3,7,2]=>[5,4,1,8,3,6,2,7]=>[1,1,2,2,2]=>11101010=>5 [8,1,4,6,2,5,7,3]=>[1,8,5,3,7,4,2,6]=>[2,1,2,1,2]=>10110110=>5 [4,5,8,1,6,2,7,3]=>[5,4,1,8,3,7,2,6]=>[1,1,2,2,2]=>11101010=>5 [5,2,6,8,1,4,3,7]=>[4,7,3,1,8,5,6,2]=>[2,1,2,2,1]=>10110101=>6 [6,7,3,8,2,1,4,5]=>[3,2,6,1,7,8,5,4]=>[1,2,3,1,1]=>11010011=>4 [2,6,3,7,4,5,8,1]=>[7,3,6,2,5,4,1,8]=>[1,2,2,1,2]=>11010110=>5 [2,7,3,6,4,5,8,1]=>[7,2,6,3,5,4,1,8]=>[1,2,2,1,2]=>11010110=>5 [2,7,3,1,5,8,6,4]=>[7,2,6,8,4,1,3,5]=>[1,3,1,3]=>11001100=>3 [2,7,3,5,4,1,8,6]=>[7,2,6,4,5,8,1,3]=>[1,2,3,2]=>11010010=>5 [2,6,3,7,4,1,8,5]=>[7,3,6,2,5,8,1,4]=>[1,2,3,2]=>11010010=>5 [2,1,4,8,5,3,7,6]=>[7,8,5,1,4,6,2,3]=>[2,1,3,2]=>10110010=>5 [2,7,3,8,4,1,6,5]=>[7,2,6,1,5,8,3,4]=>[1,2,3,2]=>11010010=>5 [2,6,3,1,5,4,8,7]=>[7,3,6,8,4,5,1,2]=>[1,3,2,2]=>11001010=>5 [2,7,3,1,5,4,8,6]=>[7,2,6,8,4,5,1,3]=>[1,3,2,2]=>11001010=>5 [1,5,8,3,4,7,2,6]=>[8,4,1,6,5,2,7,3]=>[1,1,2,1,2,1]=>11101101=>4 [5,3,8,1,4,6,2,7]=>[4,6,1,8,5,3,7,2]=>[2,2,1,2,1]=>10101101=>6 [4,5,8,1,3,6,2,7]=>[5,4,1,8,6,3,7,2]=>[1,1,2,1,2,1]=>11101101=>4 [4,1,3,8,5,7,6,2]=>[5,8,6,1,4,2,3,7]=>[2,1,2,3]=>10110100=>5 [4,1,3,7,2,8,6,5]=>[5,8,6,2,7,1,3,4]=>[2,1,2,3]=>10110100=>5 [4,6,3,1,7,2,8,5]=>[5,3,6,8,2,7,1,4]=>[1,3,2,2]=>11001010=>5 [2,8,1,7,5,4,6,3]=>[7,1,8,2,4,5,3,6]=>[1,2,3,2]=>11010010=>5 [6,8,3,1,5,7,2,4]=>[3,1,6,8,4,2,7,5]=>[1,3,1,2,1]=>11001101=>4 [7,6,2,1,3,8,5,4]=>[2,3,7,8,6,1,4,5]=>[4,1,3]=>10001100=>3 [8,7,3,1,2,5,6,4]=>[1,2,6,8,7,4,3,5]=>[4,1,1,2]=>10001110=>3 [1,8,6,2,5,7,4,3]=>[8,1,3,7,4,2,5,6]=>[1,3,1,3]=>11001100=>3 [8,1,3,6,4,2,7,5]=>[1,8,6,3,5,7,2,4]=>[2,1,3,2]=>10110010=>5 [6,1,8,2,5,7,4,3]=>[3,8,1,7,4,2,5,6]=>[2,2,1,3]=>10101100=>5 [6,3,1,5,2,8,7,4]=>[3,6,8,4,7,1,2,5]=>[3,2,3]=>10010100=>5 [7,6,4,2,5,3,8,1]=>[2,3,5,7,4,6,1,8]=>[4,2,2]=>10001010=>5 [4,7,6,8,5,2,1,3]=>[5,2,3,1,4,7,8,6]=>[1,2,4,1]=>11010001=>4 [4,7,6,8,5,2,3,1]=>[5,2,3,1,4,7,6,8]=>[1,2,3,2]=>11010010=>5 [7,4,5,1,2,6,3,8]=>[2,5,4,8,7,3,6,1]=>[2,2,1,2,1]=>10101101=>6 [4,3,1,8,7,6,2,5]=>[5,6,8,1,2,3,7,4]=>[3,4,1]=>10010001=>4 [5,4,6,1,8,2,7,3]=>[4,5,3,8,1,7,2,6]=>[2,2,2,2]=>10101010=>7 [6,4,7,1,5,8,2,3]=>[3,5,2,8,4,1,7,6]=>[2,2,1,2,1]=>10101101=>6 [5,6,4,2,8,1,7,3]=>[4,3,5,7,1,8,2,6]=>[1,3,2,2]=>11001010=>5 [6,4,3,7,8,1,5,2]=>[3,5,6,2,1,8,4,7]=>[3,1,2,2]=>10011010=>5 [2,4,6,7,1,5,3,8]=>[7,5,3,2,8,4,6,1]=>[1,1,1,2,2,1]=>11110101=>4 [5,4,3,1,8,6,7,2]=>[4,5,6,8,1,3,2,7]=>[4,2,2]=>10001010=>5 [5,4,3,6,1,7,8,2]=>[4,5,6,3,8,2,1,7]=>[3,2,1,2]=>10010110=>5 [3,2,7,5,8,1,4,6]=>[6,7,2,4,1,8,5,3]=>[2,2,2,1,1]=>10101011=>6 [3,2,7,8,5,6,1,4]=>[6,7,2,1,4,3,8,5]=>[2,1,2,2,1]=>10110101=>6 [4,8,3,2,1,7,5,6]=>[5,1,6,7,8,2,4,3]=>[1,4,2,1]=>11000101=>4 [5,1,2,6,4,7,8,3]=>[4,8,7,3,5,2,1,6]=>[2,1,2,1,2]=>10110110=>5 [4,1,6,3,8,5,9,7,2]=>[6,9,4,7,2,5,1,3,8]=>[2,2,2,3]=>101010100=>7 [1,9,8,7,6,4,3,2,5]=>[9,1,2,3,4,6,7,8,5]=>[1,7,1]=>110000001=>2 [1,9,7,6,5,4,3,2,8]=>[9,1,3,4,5,6,7,8,2]=>[1,7,1]=>110000001=>2 [1,9,8,7,6,5,2,3,4]=>[9,1,2,3,4,5,8,7,6]=>[1,6,1,1]=>110000011=>2 [1,8,4,5,6,3,2,7]=>[8,1,5,4,3,6,7,2]=>[1,2,1,3,1]=>11011001=>4 [1,7,8,6,5,4,3,2,9]=>[9,3,2,4,5,6,7,8,1]=>[1,1,6,1]=>111000001=>2 [7,4,3,6,1,8,5,2]=>[2,5,6,3,8,1,4,7]=>[3,2,3]=>10010100=>5 [4,7,6,1,5,8,2,3]=>[5,2,3,8,4,1,7,6]=>[1,3,1,2,1]=>11001101=>4 [4,7,6,5,1,8,2,3]=>[5,2,3,4,8,1,7,6]=>[1,4,2,1]=>11000101=>4 [3,7,4,6,5,8,2,1]=>[6,2,5,3,4,1,7,8]=>[1,2,2,3]=>11010100=>5 [1,4,6,5,8,7,2,3]=>[8,5,3,4,1,2,7,6]=>[1,1,2,3,1]=>11101001=>4 [8,5,1,7,4,6,3,2]=>[1,4,8,2,5,3,6,7]=>[3,2,3]=>10010100=>5 [3,4,8,1,6,7,2,5]=>[6,5,1,8,3,2,7,4]=>[1,1,2,1,2,1]=>11101101=>4 [3,6,7,8,4,1,5,2]=>[6,3,2,1,5,8,4,7]=>[1,1,1,3,2]=>11110010=>3 [1,3,7,8,4,6,2,5]=>[8,6,2,1,5,3,7,4]=>[1,1,1,2,2,1]=>11110101=>4 [3,1,7,8,4,6,2,5]=>[6,8,2,1,5,3,7,4]=>[2,1,2,2,1]=>10110101=>6 [4,8,7,3,6,1,2,5]=>[5,1,2,6,3,8,7,4]=>[1,3,2,1,1]=>11001011=>4 [5,8,4,3,7,1,2,6]=>[4,1,5,6,2,8,7,3]=>[1,3,2,1,1]=>11001011=>4 [4,1,8,3,7,5,2,6]=>[5,8,1,6,2,4,7,3]=>[2,2,3,1]=>10101001=>6 [2,4,8,3,6,7,1,5]=>[7,5,1,6,3,2,8,4]=>[1,1,2,1,2,1]=>11101101=>4 [1,6,5,8,7,3,2,4]=>[8,3,4,1,2,6,7,5]=>[1,2,4,1]=>11010001=>4 [5,6,4,8,7,2,1,3]=>[4,3,5,1,2,7,8,6]=>[1,2,4,1]=>11010001=>4 [7,2,6,8,3,5,1,4]=>[2,7,3,1,6,4,8,5]=>[2,1,2,2,1]=>10110101=>6 [7,2,8,6,5,3,1,4]=>[2,7,1,3,4,6,8,5]=>[2,5,1]=>10100001=>4 [4,8,3,7,6,1,2,5]=>[5,1,6,2,3,8,7,4]=>[1,2,3,1,1]=>11010011=>4 [2,8,4,7,1,3,6,5]=>[7,1,5,2,8,6,3,4]=>[1,2,2,1,2]=>11010110=>5 [3,7,1,4,5,6,2,8]=>[6,2,8,5,4,3,7,1]=>[1,2,1,1,2,1]=>11011101=>4 [3,6,1,4,5,2,7,8]=>[6,3,8,5,4,7,2,1]=>[1,2,1,2,1,1]=>11011011=>4 [3,8,2,4,5,1,7,6]=>[6,1,7,5,4,8,2,3]=>[1,2,1,2,2]=>11011010=>5 [3,7,2,1,5,6,4,8]=>[6,2,7,8,4,3,5,1]=>[1,3,1,2,1]=>11001101=>4 [3,6,8,1,5,4,7,2]=>[6,3,1,8,4,5,2,7]=>[1,1,2,2,2]=>11101010=>5 [1,7,2,5,6,4,3,8]=>[8,2,7,4,3,5,6,1]=>[1,2,1,3,1]=>11011001=>4 [2,5,7,8,4,3,1,6]=>[7,4,2,1,5,6,8,3]=>[1,1,1,4,1]=>11110001=>2 [6,5,8,4,2,1,3,7]=>[3,4,1,5,7,8,6,2]=>[2,4,1,1]=>10100011=>4 [6,8,5,3,2,4,1,7]=>[3,1,4,6,7,5,8,2]=>[1,4,2,1]=>11000101=>4 [1,6,8,5,3,2,7,4]=>[8,3,1,4,6,7,2,5]=>[1,1,4,2]=>11100010=>3 [4,6,1,8,7,5,3,2]=>[5,3,8,1,2,4,6,7]=>[1,2,5]=>11010000=>3 [3,8,5,1,2,7,6,4]=>[6,1,4,8,7,2,3,5]=>[1,3,1,3]=>11001100=>3 [1,3,7,6,8,5,2,4]=>[8,6,2,3,1,4,7,5]=>[1,1,2,3,1]=>11101001=>4 [3,8,1,7,2,4,6,5]=>[6,1,8,2,7,5,3,4]=>[1,2,2,1,2]=>11010110=>5 [4,3,1,2,7,5,6,8]=>[5,6,8,7,2,4,3,1]=>[3,1,2,1,1]=>10011011=>4 [4,1,7,6,8,5,3,2]=>[5,8,2,3,1,4,6,7]=>[2,2,4]=>10101000=>5 [1,7,6,8,5,3,4,2]=>[8,2,3,1,4,6,5,7]=>[1,2,3,2]=>11010010=>5 [4,1,7,8,6,5,2,3]=>[5,8,2,1,3,4,7,6]=>[2,1,4,1]=>10110001=>4 [4,3,7,6,5,8,1,2]=>[5,6,2,3,4,1,8,7]=>[2,3,2,1]=>10100101=>6 [6,2,4,8,3,5,7,1]=>[3,7,5,1,6,4,2,8]=>[2,1,2,1,2]=>10110110=>5 [6,5,1,7,3,2,4,8]=>[3,4,8,2,6,7,5,1]=>[3,3,1,1]=>10010011=>4 [4,7,8,5,2,3,6,1]=>[5,2,1,4,7,6,3,8]=>[1,1,3,1,2]=>11100110=>3 [4,7,6,1,2,3,8,5]=>[5,2,3,8,7,6,1,4]=>[1,3,1,1,2]=>11001110=>3 [3,1,7,8,6,5,2,4]=>[6,8,2,1,3,4,7,5]=>[2,1,4,1]=>10110001=>4 [4,5,6,7,8,2,9,1,3]=>[6,5,4,3,2,8,1,9,7]=>[1,1,1,1,2,2,1]=>111110101=>4 [4,5,2,6,7,8,1,3]=>[5,4,7,3,2,1,8,6]=>[1,2,1,1,2,1]=>11011101=>4 [2,8,7,6,5,4,3,1,9]=>[8,2,3,4,5,6,7,9,1]=>[1,7,1]=>110000001=>2 [3,6,2,1,7,8,4,5]=>[6,3,7,8,2,1,5,4]=>[1,3,1,2,1]=>11001101=>4 [7,3,1,8,5,2,6,4]=>[2,6,8,1,4,7,3,5]=>[3,3,2]=>10010010=>5 [5,3,2,7,8,4,1,6]=>[4,6,7,2,1,5,8,3]=>[3,1,3,1]=>10011001=>4 [1,7,6,2,3,8,5,4]=>[8,2,3,7,6,1,4,5]=>[1,3,1,3]=>11001100=>3 [1,5,2,8,7,3,6,4]=>[8,4,7,1,2,6,3,5]=>[1,2,3,2]=>11010010=>5 [4,5,1,3,7,6,2,8]=>[5,4,8,6,2,3,7,1]=>[1,2,1,3,1]=>11011001=>4 [1,5,4,3,8,6,2,7]=>[8,4,5,6,1,3,7,2]=>[1,3,3,1]=>11001001=>4 [1,7,4,5,8,2,3,6]=>[8,2,5,4,1,7,6,3]=>[1,2,1,2,1,1]=>11011011=>4 [1,3,7,5,8,4,6,2]=>[8,6,2,4,1,5,3,7]=>[1,1,2,2,2]=>11101010=>5 [1,6,2,5,4,3,8,7]=>[8,3,7,4,5,6,1,2]=>[1,2,3,2]=>11010010=>5 [1,7,4,5,6,2,3,8]=>[8,2,5,4,3,7,6,1]=>[1,2,1,2,1,1]=>11011011=>4 [1,7,5,6,4,2,3,8]=>[8,2,4,3,5,7,6,1]=>[1,2,3,1,1]=>11010011=>4 [1,7,6,4,2,3,8,5]=>[8,2,3,5,7,6,1,4]=>[1,4,1,2]=>11000110=>3 [1,6,2,5,7,4,3,8]=>[8,3,7,4,2,5,6,1]=>[1,2,1,3,1]=>11011001=>4 [7,8,1,5,3,4,6,2]=>[2,1,8,4,6,5,3,7]=>[1,2,2,1,2]=>11010110=>5 [7,3,5,4,1,6,2,8]=>[2,6,4,5,8,3,7,1]=>[2,3,2,1]=>10100101=>6 [3,5,7,1,6,4,2,8]=>[6,4,2,8,3,5,7,1]=>[1,1,2,3,1]=>11101001=>4 [3,7,5,6,1,4,2,8]=>[6,2,4,3,8,5,7,1]=>[1,2,2,2,1]=>11010101=>6 [1,7,5,6,3,4,8,2]=>[8,2,4,3,6,5,1,7]=>[1,2,2,1,2]=>11010110=>5 [5,3,1,2,7,8,4,6]=>[4,6,8,7,2,1,5,3]=>[3,1,1,2,1]=>10011101=>4 [5,1,3,7,8,2,6,4]=>[4,8,6,2,1,7,3,5]=>[2,1,1,2,2]=>10111010=>5 [5,7,2,6,8,4,3,1]=>[4,2,7,3,1,5,6,8]=>[1,2,1,4]=>11011000=>3 [3,5,6,8,1,7,4,2]=>[6,4,3,1,8,2,5,7]=>[1,1,1,2,3]=>11110100=>3 [5,8,1,2,7,6,4,3]=>[4,1,8,7,2,3,5,6]=>[1,2,1,4]=>11011000=>3 [1,6,7,4,5,3,2,8]=>[8,3,2,5,4,6,7,1]=>[1,1,2,3,1]=>11101001=>4 [1,4,7,5,6,3,2,8]=>[8,5,2,4,3,6,7,1]=>[1,1,2,3,1]=>11101001=>4 [7,2,6,3,5,4,1,8]=>[2,7,3,6,4,5,8,1]=>[2,2,3,1]=>10101001=>6 [7,5,6,2,4,3,1,8]=>[2,4,3,7,5,6,8,1]=>[2,2,3,1]=>10101001=>6 [1,4,2,6,7,5,3,8]=>[8,5,7,3,2,4,6,1]=>[1,2,1,3,1]=>11011001=>4 [1,8,2,4,6,5,3,7]=>[8,1,7,5,3,4,6,2]=>[1,2,1,3,1]=>11011001=>4 [3,2,1,5,4,8,6,7]=>[6,7,8,4,5,1,3,2]=>[3,2,2,1]=>10010101=>6 [1,3,5,4,2,8,6,7]=>[8,6,4,5,7,1,3,2]=>[1,1,3,2,1]=>11100101=>4 [8,2,7,6,4,3,5,1]=>[1,7,2,3,5,6,4,8]=>[2,4,2]=>10100010=>5 [1,8,3,7,4,5,2,6]=>[8,1,6,2,5,4,7,3]=>[1,2,2,2,1]=>11010101=>6 [8,5,7,3,2,6,4,1]=>[1,4,2,6,7,3,5,8]=>[2,3,3]=>10100100=>5 [7,5,2,3,6,8,1,4]=>[2,4,7,6,3,1,8,5]=>[3,1,1,2,1]=>10011101=>4 [2,8,7,1,5,3,4,6]=>[7,1,2,8,4,6,5,3]=>[1,3,2,1,1]=>11001011=>4 [8,1,5,2,4,3,6,7]=>[1,8,4,7,5,6,3,2]=>[2,2,2,1,1]=>10101011=>6 [8,6,4,3,1,5,2,7]=>[1,3,5,6,8,4,7,2]=>[5,2,1]=>10000101=>4 [7,2,1,6,4,3,8,5]=>[2,7,8,3,5,6,1,4]=>[3,3,2]=>10010010=>5 [1,7,2,6,4,3,8,5]=>[8,2,7,3,5,6,1,4]=>[1,2,3,2]=>11010010=>5 [5,8,2,3,1,7,6,4]=>[4,1,7,6,8,2,3,5]=>[1,2,2,3]=>11010100=>5 [6,8,2,1,3,7,4,5]=>[3,1,7,8,6,2,5,4]=>[1,3,1,2,1]=>11001101=>4 [6,7,1,8,2,4,5,3]=>[3,2,8,1,7,5,4,6]=>[1,2,2,1,2]=>11010110=>5 [6,1,7,8,2,3,5,4]=>[3,8,2,1,7,6,4,5]=>[2,1,2,1,2]=>10110110=>5 [1,4,8,7,2,3,6,5]=>[8,5,1,2,7,6,3,4]=>[1,1,3,1,2]=>11100110=>3 [8,5,6,3,1,4,7,2]=>[1,4,3,6,8,5,2,7]=>[2,3,1,2]=>10100110=>5 [8,5,1,6,2,4,7,3]=>[1,4,8,3,7,5,2,6]=>[3,2,1,2]=>10010110=>5 [8,5,6,2,3,7,1,4]=>[1,4,3,7,6,2,8,5]=>[2,2,1,2,1]=>10101101=>6 [1,8,4,6,2,3,7,5]=>[8,1,5,3,7,6,2,4]=>[1,2,2,1,2]=>11010110=>5 [1,8,3,2,6,5,7,4]=>[8,1,6,7,3,4,2,5]=>[1,3,2,2]=>11001010=>5 [8,4,2,6,5,7,1,3]=>[1,5,7,3,4,2,8,6]=>[3,2,2,1]=>10010101=>6 [4,2,7,8,1,5,3,6]=>[5,7,2,1,8,4,6,3]=>[2,1,2,2,1]=>10110101=>6 [4,1,3,6,5,8,2,7]=>[5,8,6,3,4,1,7,2]=>[2,1,2,2,1]=>10110101=>6 [4,3,7,1,5,8,2,6]=>[5,6,2,8,4,1,7,3]=>[2,2,1,2,1]=>10101101=>6 [2,5,6,8,7,1,3,4]=>[7,4,3,1,2,8,6,5]=>[1,1,1,3,1,1]=>11110011=>2 [3,8,4,5,7,6,1,2]=>[6,1,5,4,2,3,8,7]=>[1,2,1,3,1]=>11011001=>4 [2,8,3,4,6,1,7,5]=>[7,1,6,5,3,8,2,4]=>[1,2,1,2,2]=>11011010=>5 [6,5,3,4,1,7,2,8]=>[3,4,6,5,8,2,7,1]=>[3,2,2,1]=>10010101=>6 [1,5,6,4,7,8,2,3]=>[8,4,3,5,2,1,7,6]=>[1,1,2,1,2,1]=>11101101=>4 [2,8,4,5,7,6,1,3]=>[7,1,5,4,2,3,8,6]=>[1,2,1,3,1]=>11011001=>4 [1,2,4,8,7,5,6,3]=>[8,7,5,1,2,4,3,6]=>[1,1,1,3,2]=>11110010=>3 [2,4,7,1,8,6,3,5]=>[7,5,2,8,1,3,6,4]=>[1,1,2,3,1]=>11101001=>4 [1,8,6,5,2,7,4,3]=>[8,1,3,4,7,2,5,6]=>[1,4,3]=>11000100=>3 [1,8,6,2,7,4,3,5]=>[8,1,3,7,2,5,6,4]=>[1,3,3,1]=>11001001=>4 [2,7,3,4,8,6,1,5]=>[7,2,6,5,1,3,8,4]=>[1,2,1,3,1]=>11011001=>4 [7,2,6,4,1,8,5,3]=>[2,7,3,5,8,1,4,6]=>[2,3,3]=>10100100=>5 [1,4,8,6,5,3,7,2]=>[8,5,1,3,4,6,2,7]=>[1,1,4,2]=>11100010=>3 [1,7,2,8,6,5,4,3]=>[8,2,7,1,3,4,5,6]=>[1,2,5]=>11010000=>3 [3,4,2,7,5,6,8,1]=>[6,5,7,2,4,3,1,8]=>[1,2,2,1,2]=>11010110=>5 [3,7,4,2,1,6,8,5]=>[6,2,5,7,8,3,1,4]=>[1,4,1,2]=>11000110=>3 [7,2,4,5,1,8,6,3]=>[2,7,5,4,8,1,3,6]=>[2,1,2,3]=>10110100=>5 [2,4,1,8,5,3,6,7]=>[7,5,8,1,4,6,3,2]=>[1,2,3,1,1]=>11010011=>4 [6,2,7,4,3,5,1,8]=>[3,7,2,5,6,4,8,1]=>[2,3,2,1]=>10100101=>6 [6,8,2,3,4,5,7,1]=>[3,1,7,6,5,4,2,8]=>[1,2,1,1,1,2]=>11011110=>3 [2,1,7,3,4,6,5,8]=>[7,8,2,6,5,3,4,1]=>[2,2,1,2,1]=>10101101=>6 [5,8,2,7,1,4,6,3]=>[4,1,7,2,8,5,3,6]=>[1,2,2,1,2]=>11010110=>5 [7,3,8,2,4,5,1,6]=>[2,6,1,7,5,4,8,3]=>[2,2,1,2,1]=>10101101=>6 [3,5,4,1,7,8,6,2]=>[6,4,5,8,2,1,3,7]=>[1,3,1,3]=>11001100=>3 [2,9,8,7,6,1,5,4,3]=>[8,1,2,3,4,9,5,6,7]=>[1,5,3]=>110000100=>3 [6,8,7,2,1,5,4,3]=>[3,1,2,7,8,4,5,6]=>[1,4,3]=>11000100=>3 [4,9,8,7,6,5,2,1,3]=>[6,1,2,3,4,5,8,9,7]=>[1,7,1]=>110000001=>2 [5,9,8,7,6,2,1,4,3]=>[5,1,2,3,4,8,9,6,7]=>[1,6,2]=>110000010=>3 [6,7,3,5,4,2,8,1]=>[3,2,6,4,5,7,1,8]=>[1,2,3,2]=>11010010=>5 [6,2,7,5,4,3,8,1]=>[3,7,2,4,5,6,1,8]=>[2,4,2]=>10100010=>5 [7,8,6,2,5,4,3,1]=>[2,1,3,7,4,5,6,8]=>[1,3,4]=>11001000=>3 [6,1,8,3,7,5,4,2]=>[3,8,1,6,2,4,5,7]=>[2,2,4]=>10101000=>5 [6,2,8,3,7,5,4,1]=>[3,7,1,6,2,4,5,8]=>[2,2,4]=>10101000=>5 [6,1,2,8,7,5,4,3]=>[3,8,7,1,2,4,5,6]=>[2,1,5]=>10110000=>3 [8,1,6,3,7,5,4,2]=>[1,8,3,6,2,4,5,7]=>[2,2,4]=>10101000=>5 [8,5,1,3,7,6,4,2]=>[1,4,8,6,2,3,5,7]=>[3,1,4]=>10011000=>3 [7,8,4,6,5,3,2,1]=>[2,1,5,3,4,6,7,8]=>[1,2,5]=>11010000=>3 [8,3,6,5,4,2,1,7]=>[1,6,3,4,5,7,8,2]=>[2,5,1]=>10100001=>4 [6,2,3,5,7,1,8,4]=>[3,7,6,4,2,8,1,5]=>[2,1,1,2,2]=>10111010=>5 [6,3,4,2,7,1,8,5]=>[3,6,5,7,2,8,1,4]=>[2,2,2,2]=>10101010=>7 [6,1,3,5,7,2,8,4]=>[3,8,6,4,2,7,1,5]=>[2,1,1,2,2]=>10111010=>5 [5,1,3,6,7,2,8,4]=>[4,8,6,3,2,7,1,5]=>[2,1,1,2,2]=>10111010=>5 [3,2,4,6,7,1,8,5]=>[6,7,5,3,2,8,1,4]=>[2,1,1,2,2]=>10111010=>5 [2,8,1,5,6,4,3,7]=>[7,1,8,4,3,5,6,2]=>[1,2,1,3,1]=>11011001=>4 [2,6,8,3,4,7,5,1]=>[7,3,1,6,5,2,4,8]=>[1,1,2,1,3]=>11101100=>3 [6,1,5,7,4,3,8,2]=>[3,8,4,2,5,6,1,7]=>[2,1,3,2]=>10110010=>5 [6,8,3,4,7,5,1,2]=>[3,1,6,5,2,4,8,7]=>[1,2,1,3,1]=>11011001=>4 [8,2,4,7,5,6,1,3]=>[1,7,5,2,4,3,8,6]=>[2,1,2,2,1]=>10110101=>6 [2,6,7,5,8,4,1,3]=>[7,3,2,4,1,5,8,6]=>[1,1,2,3,1]=>11101001=>4 [7,4,1,6,5,2,8,3]=>[2,5,8,3,4,7,1,6]=>[3,3,2]=>10010010=>5 [5,4,8,3,1,6,7,2]=>[4,5,1,6,8,3,2,7]=>[2,3,1,2]=>10100110=>5 [6,4,2,8,1,5,3,7]=>[3,5,7,1,8,4,6,2]=>[3,2,2,1]=>10010101=>6 [3,5,8,1,4,7,6,2]=>[6,4,1,8,5,2,3,7]=>[1,1,2,1,3]=>11101100=>3 [6,8,4,7,3,2,5,1]=>[3,1,5,2,6,7,4,8]=>[1,2,3,2]=>11010010=>5 [5,8,7,2,6,4,3,1]=>[4,1,2,7,3,5,6,8]=>[1,3,4]=>11001000=>3 [6,8,7,3,5,1,4,2]=>[3,1,2,6,4,8,5,7]=>[1,3,2,2]=>11001010=>5 [7,3,4,8,5,2,6,1]=>[2,6,5,1,4,7,3,8]=>[2,1,3,2]=>10110010=>5 [4,2,5,8,6,1,3,7]=>[5,7,4,1,3,8,6,2]=>[2,1,3,1,1]=>10110011=>4 [6,2,5,7,8,3,1,4]=>[3,7,4,2,1,6,8,5]=>[2,1,1,3,1]=>10111001=>4 [1,6,5,7,8,3,2,4]=>[8,3,4,2,1,6,7,5]=>[1,2,1,3,1]=>11011001=>4 [7,5,3,6,8,2,4,1]=>[2,4,6,3,1,7,5,8]=>[3,1,2,2]=>10011010=>5 [8,6,7,2,3,5,4,1]=>[1,3,2,7,6,4,5,8]=>[2,2,1,3]=>10101100=>5 [7,3,6,4,2,1,8,5]=>[2,6,3,5,7,8,1,4]=>[2,4,2]=>10100010=>5 [4,8,5,2,7,3,1,6]=>[5,1,4,7,2,6,8,3]=>[1,3,3,1]=>11001001=>4 [4,8,5,2,6,7,3,1]=>[5,1,4,7,3,2,6,8]=>[1,3,1,3]=>11001100=>3 [7,3,2,1,8,5,6,4]=>[2,6,7,8,1,4,3,5]=>[4,2,2]=>10001010=>5 [1,5,7,2,4,3,8,6]=>[8,4,2,7,5,6,1,3]=>[1,1,2,2,2]=>11101010=>5 [1,2,7,5,8,4,3,6]=>[8,7,2,4,1,5,6,3]=>[1,1,2,3,1]=>11101001=>4 [5,1,3,8,2,7,4,6]=>[4,8,6,1,7,2,5,3]=>[2,1,2,2,1]=>10110101=>6 [5,7,1,3,2,8,4,6]=>[4,2,8,6,7,1,5,3]=>[1,2,2,2,1]=>11010101=>6 [7,1,6,3,2,8,4,5]=>[2,8,3,6,7,1,5,4]=>[2,3,2,1]=>10100101=>6 [8,1,7,2,3,6,5,4]=>[1,8,2,7,6,3,4,5]=>[2,2,1,3]=>10101100=>5 [7,1,2,6,4,3,8,5]=>[2,8,7,3,5,6,1,4]=>[2,1,3,2]=>10110010=>5 [1,4,7,8,3,2,5,6]=>[8,5,2,1,6,7,4,3]=>[1,1,1,3,1,1]=>11110011=>2 [8,7,1,3,2,4,6,5]=>[1,2,8,6,7,5,3,4]=>[3,2,1,2]=>10010110=>5 [8,1,6,3,2,4,7,5]=>[1,8,3,6,7,5,2,4]=>[2,3,1,2]=>10100110=>5 [1,8,2,7,6,3,5,4]=>[8,1,7,2,3,6,4,5]=>[1,2,3,2]=>11010010=>5 [8,2,1,7,6,3,4,5]=>[1,7,8,2,3,6,5,4]=>[3,3,1,1]=>10010011=>4 [6,8,4,3,5,1,2,7]=>[3,1,5,6,4,8,7,2]=>[1,3,2,1,1]=>11001011=>4 [8,7,3,5,4,1,2,6]=>[1,2,6,4,5,8,7,3]=>[3,3,1,1]=>10010011=>4 [6,3,8,5,7,2,1,4]=>[3,6,1,4,2,7,8,5]=>[2,2,3,1]=>10101001=>6 [8,7,3,6,4,1,2,5]=>[1,2,6,3,5,8,7,4]=>[3,3,1,1]=>10010011=>4 [5,2,7,4,6,1,3,8]=>[4,7,2,5,3,8,6,1]=>[2,2,2,1,1]=>10101011=>6 [8,7,2,3,5,1,4,6]=>[1,2,7,6,4,8,5,3]=>[3,1,2,1,1]=>10011011=>4 [7,6,3,4,1,8,2,5]=>[2,3,6,5,8,1,7,4]=>[3,2,2,1]=>10010101=>6 [6,3,5,2,8,1,4,7]=>[3,6,4,7,1,8,5,2]=>[2,2,2,1,1]=>10101011=>6 [8,7,2,4,3,1,5,6]=>[1,2,7,5,6,8,4,3]=>[3,3,1,1]=>10010011=>4 [7,6,2,3,1,4,8,5]=>[2,3,7,6,8,5,1,4]=>[3,2,1,2]=>10010110=>5 [2,8,3,6,5,1,4,7]=>[7,1,6,3,4,8,5,2]=>[1,2,3,1,1]=>11010011=>4 [3,7,4,2,6,5,1,8]=>[6,2,5,7,3,4,8,1]=>[1,3,3,1]=>11001001=>4 [4,7,6,5,2,3,1,8]=>[5,2,3,4,7,6,8,1]=>[1,4,2,1]=>11000101=>4 [3,7,6,1,2,5,4,8]=>[6,2,3,8,7,4,5,1]=>[1,3,1,2,1]=>11001101=>4 [2,5,1,3,8,7,6,4]=>[7,4,8,6,1,2,3,5]=>[1,2,1,4]=>11011000=>3 [4,7,6,1,3,8,5,2]=>[5,2,3,8,6,1,4,7]=>[1,3,1,3]=>11001100=>3 [4,7,6,2,3,1,5,8]=>[5,2,3,7,6,8,4,1]=>[1,3,2,1,1]=>11001011=>4 [5,7,4,2,6,8,3,1]=>[4,2,5,7,3,1,6,8]=>[1,3,1,3]=>11001100=>3 [5,1,6,4,8,7,2,3]=>[4,8,3,5,1,2,7,6]=>[2,2,3,1]=>10101001=>6 [2,7,6,4,3,8,1,5]=>[7,2,3,5,6,1,8,4]=>[1,4,2,1]=>11000101=>4 [4,7,1,5,3,2,8,6]=>[5,2,8,4,6,7,1,3]=>[1,2,3,2]=>11010010=>5 [2,8,1,3,5,6,4,7]=>[7,1,8,6,4,3,5,2]=>[1,2,1,1,2,1]=>11011101=>4 [2,6,3,4,7,8,5,1]=>[7,3,6,5,2,1,4,8]=>[1,2,1,1,3]=>11011100=>3 [7,6,3,1,8,5,2,4]=>[2,3,6,8,1,4,7,5]=>[4,3,1]=>10001001=>4 [7,6,3,8,1,5,2,4]=>[2,3,6,1,8,4,7,5]=>[3,2,2,1]=>10010101=>6 [1,6,4,7,8,5,3,2]=>[8,3,5,2,1,4,6,7]=>[1,2,1,4]=>11011000=>3 [5,1,6,4,2,7,8,3]=>[4,8,3,5,7,2,1,6]=>[2,3,1,2]=>10100110=>5 [4,1,3,6,2,5,8,7]=>[5,8,6,3,7,4,1,2]=>[2,1,2,1,2]=>10110110=>5 [7,1,4,6,3,2,5,8]=>[2,8,5,3,6,7,4,1]=>[2,1,3,1,1]=>10110011=>4 [7,1,4,6,3,5,2,8]=>[2,8,5,3,6,4,7,1]=>[2,1,2,2,1]=>10110101=>6 [7,1,3,6,5,2,4,8]=>[2,8,6,3,4,7,5,1]=>[2,1,3,1,1]=>10110011=>4 [3,1,2,6,5,4,8,7]=>[6,8,7,3,4,5,1,2]=>[2,1,3,2]=>10110010=>5 [1,2,5,6,8,4,3,7]=>[8,7,4,3,1,5,6,2]=>[1,1,1,1,3,1]=>11111001=>2 [2,5,6,4,7,8,1,3]=>[7,4,3,5,2,1,8,6]=>[1,1,2,1,2,1]=>11101101=>4 [6,3,5,2,1,7,8,4]=>[3,6,4,7,8,2,1,5]=>[2,3,1,2]=>10100110=>5 [6,1,5,3,2,7,8,4]=>[3,8,4,6,7,2,1,5]=>[2,3,1,2]=>10100110=>5 [1,3,4,7,2,8,6,5]=>[8,6,5,2,7,1,3,4]=>[1,1,1,2,3]=>11110100=>3 [3,5,2,8,7,4,1,6]=>[6,4,7,1,2,5,8,3]=>[1,2,4,1]=>11010001=>4 [7,4,1,8,6,3,2,5]=>[2,5,8,1,3,6,7,4]=>[3,4,1]=>10010001=>4 [3,7,4,1,5,2,8,6]=>[6,2,5,8,4,7,1,3]=>[1,3,2,2]=>11001010=>5 [2,7,3,5,1,4,8,6]=>[7,2,6,4,8,5,1,3]=>[1,2,2,1,2]=>11010110=>5 [7,4,5,8,6,2,3,1]=>[2,5,4,1,3,7,6,8]=>[2,1,3,2]=>10110010=>5 [2,3,4,7,8,5,1,6]=>[7,6,5,2,1,4,8,3]=>[1,1,1,1,3,1]=>11111001=>2 [5,1,6,4,7,8,3,2]=>[4,8,3,5,2,1,6,7]=>[2,2,1,3]=>10101100=>5 [5,3,1,2,6,8,7,4]=>[4,6,8,7,3,1,2,5]=>[3,1,1,3]=>10011100=>3 [6,4,7,8,1,3,2,5]=>[3,5,2,1,8,6,7,4]=>[2,1,2,2,1]=>10110101=>6 [6,7,2,3,8,4,1,5]=>[3,2,7,6,1,5,8,4]=>[1,2,1,3,1]=>11011001=>4 [6,1,4,7,5,8,3,2]=>[3,8,5,2,4,1,6,7]=>[2,1,2,3]=>10110100=>5 [2,7,8,1,5,4,3,6]=>[7,2,1,8,4,5,6,3]=>[1,1,2,3,1]=>11101001=>4 [7,3,4,8,1,5,2,6]=>[2,6,5,1,8,4,7,3]=>[2,1,2,2,1]=>10110101=>6 [1,5,2,6,8,7,4,3]=>[8,4,7,3,1,2,5,6]=>[1,2,1,4]=>11011000=>3 [1,8,3,7,5,2,6,4]=>[8,1,6,2,4,7,3,5]=>[1,2,3,2]=>11010010=>5 [8,1,3,6,5,2,7,4]=>[1,8,6,3,4,7,2,5]=>[2,1,3,2]=>10110010=>5 [7,1,3,8,5,2,6,4]=>[2,8,6,1,4,7,3,5]=>[2,1,3,2]=>10110010=>5 [4,7,1,5,2,6,8,3]=>[5,2,8,4,7,3,1,6]=>[1,2,2,1,2]=>11010110=>5 [7,4,1,5,2,6,8,3]=>[2,5,8,4,7,3,1,6]=>[3,2,1,2]=>10010110=>5 [3,1,6,7,5,2,8,4]=>[6,8,3,2,4,7,1,5]=>[2,1,3,2]=>10110010=>5 [8,6,2,4,5,1,7,3]=>[1,3,7,5,4,8,2,6]=>[3,1,2,2]=>10011010=>5 [8,6,7,5,2,1,4,3]=>[1,3,2,4,7,8,5,6]=>[2,4,2]=>10100010=>5 [7,1,4,5,2,6,8,3]=>[2,8,5,4,7,3,1,6]=>[2,1,2,1,2]=>10110110=>5 [4,1,6,2,3,8,7,5]=>[5,8,3,7,6,1,2,4]=>[2,2,1,3]=>10101100=>5 [3,1,7,4,2,8,5,6]=>[6,8,2,5,7,1,4,3]=>[2,3,2,1]=>10100101=>6 [3,1,6,4,2,8,7,5]=>[6,8,3,5,7,1,2,4]=>[2,3,3]=>10100100=>5 [6,5,1,8,2,3,7,4]=>[3,4,8,1,7,6,2,5]=>[3,2,1,2]=>10010110=>5 [4,2,1,7,6,3,8,5]=>[5,7,8,2,3,6,1,4]=>[3,3,2]=>10010010=>5 [4,1,7,6,5,2,8,3]=>[5,8,2,3,4,7,1,6]=>[2,4,2]=>10100010=>5 [5,4,2,1,7,3,8,6]=>[4,5,7,8,2,6,1,3]=>[4,2,2]=>10001010=>5 [5,4,1,6,2,8,7,3]=>[4,5,8,3,7,1,2,6]=>[3,2,3]=>10010100=>5 [5,7,4,6,3,2,8,1]=>[4,2,5,3,6,7,1,8]=>[1,2,3,2]=>11010010=>5 [2,7,3,5,4,1,6,8]=>[7,2,6,4,5,8,3,1]=>[1,2,3,1,1]=>11010011=>4 [6,2,4,5,1,7,3,8]=>[3,7,5,4,8,2,6,1]=>[2,1,2,2,1]=>10110101=>6 [2,3,6,1,5,7,4,8]=>[7,6,3,8,4,2,5,1]=>[1,1,2,1,2,1]=>11101101=>4 [5,6,2,3,4,8,7,1]=>[4,3,7,6,5,1,2,8]=>[1,2,1,1,3]=>11011100=>3 [7,5,6,2,3,8,1,4]=>[2,4,3,7,6,1,8,5]=>[2,2,1,2,1]=>10101101=>6 [3,8,5,4,6,1,7,2]=>[6,1,4,5,3,8,2,7]=>[1,3,2,2]=>11001010=>5 [6,1,4,7,3,2,5,8]=>[3,8,5,2,6,7,4,1]=>[2,1,3,1,1]=>10110011=>4 [8,4,5,3,6,1,7,2]=>[1,5,4,6,3,8,2,7]=>[2,2,2,2]=>10101010=>7 [5,2,3,1,6,7,4,8]=>[4,7,6,8,3,2,5,1]=>[2,2,1,2,1]=>10101101=>6 [2,8,4,7,3,5,6,1]=>[7,1,5,2,6,4,3,8]=>[1,2,2,1,2]=>11010110=>5 [1,5,4,8,3,2,6,7]=>[8,4,5,1,6,7,3,2]=>[1,2,3,1,1]=>11010011=>4 [2,6,3,1,7,8,4,5]=>[7,3,6,8,2,1,5,4]=>[1,3,1,2,1]=>11001101=>4 [1,5,8,6,7,4,2,3]=>[8,4,1,3,2,5,7,6]=>[1,1,2,3,1]=>11101001=>4 [8,7,1,3,5,2,6,4]=>[1,2,8,6,4,7,3,5]=>[3,1,2,2]=>10011010=>5 [4,7,6,5,8,1,3,2]=>[5,2,3,4,1,8,6,7]=>[1,3,2,2]=>11001010=>5 [4,7,8,6,2,1,5,3]=>[5,2,1,3,7,8,4,6]=>[1,1,4,2]=>11100010=>3 [4,8,6,3,2,1,7,5]=>[5,1,3,6,7,8,2,4]=>[1,5,2]=>11000010=>3 [5,1,4,7,6,8,3,2]=>[4,8,5,2,3,1,6,7]=>[2,1,2,3]=>10110100=>5 [5,6,4,7,1,8,3,2]=>[4,3,5,2,8,1,6,7]=>[1,2,2,3]=>11010100=>5 [5,3,7,4,6,1,8,2]=>[4,6,2,5,3,8,1,7]=>[2,2,2,2]=>10101010=>7 [4,1,5,7,8,6,3,2]=>[5,8,4,2,1,3,6,7]=>[2,1,1,4]=>10111000=>3 [3,6,7,1,5,4,8,2]=>[6,3,2,8,4,5,1,7]=>[1,1,2,2,2]=>11101010=>5 [3,6,4,7,5,8,2,1]=>[6,3,5,2,4,1,7,8]=>[1,2,2,3]=>11010100=>5 [8,1,7,3,2,4,5,6]=>[1,8,2,6,7,5,4,3]=>[2,3,1,1,1]=>10100111=>4 [1,7,4,5,3,8,2,6]=>[8,2,5,4,6,1,7,3]=>[1,2,2,2,1]=>11010101=>6 [5,6,7,4,1,8,3,2]=>[4,3,2,5,8,1,6,7]=>[1,1,3,3]=>11100100=>3 [6,5,3,7,8,1,4,2]=>[3,4,6,2,1,8,5,7]=>[3,1,2,2]=>10011010=>5 [6,5,7,3,1,8,2,4]=>[3,4,2,6,8,1,7,5]=>[2,3,2,1]=>10100101=>6 [6,4,7,1,5,2,8,3]=>[3,5,2,8,4,7,1,6]=>[2,2,2,2]=>10101010=>7 [5,6,7,4,2,1,8,3]=>[4,3,2,5,7,8,1,6]=>[1,1,4,2]=>11100010=>3 [5,3,4,7,8,2,6,1]=>[4,6,5,2,1,7,3,8]=>[2,1,1,2,2]=>10111010=>5 [4,6,1,8,2,5,3,7]=>[5,3,8,1,7,4,6,2]=>[1,2,2,2,1]=>11010101=>6 [3,2,6,1,8,5,4,7]=>[6,7,3,8,1,4,5,2]=>[2,2,3,1]=>10101001=>6 [5,7,3,1,4,2,8,6]=>[4,2,6,8,5,7,1,3]=>[1,3,2,2]=>11001010=>5 [5,7,3,8,4,2,1,6]=>[4,2,6,1,5,7,8,3]=>[1,2,4,1]=>11010001=>4 [3,2,8,4,5,1,7,6]=>[6,7,1,5,4,8,2,3]=>[2,2,2,2]=>10101010=>7 [4,8,1,3,5,2,7,6]=>[5,1,8,6,4,7,2,3]=>[1,2,1,2,2]=>11011010=>5 [4,1,6,8,2,5,3,7]=>[5,8,3,1,7,4,6,2]=>[2,1,2,2,1]=>10110101=>6 [3,2,7,4,5,1,8,6]=>[6,7,2,5,4,8,1,3]=>[2,2,2,2]=>10101010=>7 [1,7,4,3,5,8,2,6]=>[8,2,5,6,4,1,7,3]=>[1,3,1,2,1]=>11001101=>4 [7,4,8,5,2,3,6,1]=>[2,5,1,4,7,6,3,8]=>[2,3,1,2]=>10100110=>5 [7,3,1,8,4,5,2,6]=>[2,6,8,1,5,4,7,3]=>[3,2,2,1]=>10010101=>6 [7,2,8,5,4,3,1,6]=>[2,7,1,4,5,6,8,3]=>[2,5,1]=>10100001=>4 [5,3,7,1,4,6,2,8]=>[4,6,2,8,5,3,7,1]=>[2,2,1,2,1]=>10101101=>6 [2,7,1,5,4,6,3,8]=>[7,2,8,4,5,3,6,1]=>[1,2,2,2,1]=>11010101=>6 [2,3,7,4,8,1,5,6]=>[7,6,2,5,1,8,4,3]=>[1,1,2,2,1,1]=>11101011=>4 [4,8,5,2,3,6,7,1]=>[5,1,4,7,6,3,2,8]=>[1,3,1,1,2]=>11001110=>3 [3,4,6,8,2,5,1,7]=>[6,5,3,1,7,4,8,2]=>[1,1,1,2,2,1]=>11110101=>4 [3,7,2,5,4,6,8,1]=>[6,2,7,4,5,3,1,8]=>[1,2,2,1,2]=>11010110=>5 [3,8,6,5,7,4,2,1]=>[6,1,3,4,2,5,7,8]=>[1,3,4]=>11001000=>3 [4,1,7,2,5,8,3,6]=>[5,8,2,7,4,1,6,3]=>[2,2,1,2,1]=>10101101=>6 [3,6,1,7,4,2,8,5]=>[6,3,8,2,5,7,1,4]=>[1,2,3,2]=>11010010=>5 [3,1,7,5,2,8,6,4]=>[6,8,2,4,7,1,3,5]=>[2,3,3]=>10100100=>5 [5,6,3,2,8,7,4,1]=>[4,3,6,7,1,2,5,8]=>[1,3,4]=>11001000=>3 [2,6,1,7,8,4,3,5]=>[7,3,8,2,1,5,6,4]=>[1,2,1,3,1]=>11011001=>4 [3,2,5,8,6,4,1,7]=>[6,7,4,1,3,5,8,2]=>[2,1,4,1]=>10110001=>4 [3,2,5,8,6,1,7,4]=>[6,7,4,1,3,8,2,5]=>[2,1,3,2]=>10110010=>5 [3,4,2,5,8,6,1,7]=>[6,5,7,4,1,3,8,2]=>[1,2,1,3,1]=>11011001=>4 [4,5,1,7,2,8,6,3]=>[5,4,8,2,7,1,3,6]=>[1,2,2,3]=>11010100=>5 [2,6,3,1,8,7,5,4]=>[7,3,6,8,1,2,4,5]=>[1,3,4]=>11001000=>3 [3,7,5,2,8,6,4,1]=>[6,2,4,7,1,3,5,8]=>[1,3,4]=>11001000=>3 [2,8,5,3,6,7,4,1]=>[7,1,4,6,3,2,5,8]=>[1,3,1,3]=>11001100=>3 [4,8,6,3,7,1,2,5]=>[5,1,3,6,2,8,7,4]=>[1,3,2,1,1]=>11001011=>4 [4,7,1,8,5,3,6,2]=>[5,2,8,1,4,6,3,7]=>[1,2,3,2]=>11010010=>5 [1,8,6,4,7,2,5,3]=>[8,1,3,5,2,7,4,6]=>[1,3,2,2]=>11001010=>5 [5,4,2,3,8,7,1,6]=>[4,5,7,6,1,2,8,3]=>[3,1,3,1]=>10011001=>4 [7,3,6,4,1,8,2,5]=>[2,6,3,5,8,1,7,4]=>[2,3,2,1]=>10100101=>6 [3,8,6,1,5,7,2,4]=>[6,1,3,8,4,2,7,5]=>[1,3,1,2,1]=>11001101=>4 [7,3,6,1,5,8,2,4]=>[2,6,3,8,4,1,7,5]=>[2,2,1,2,1]=>10101101=>6 [6,4,7,2,5,3,1,8]=>[3,5,2,7,4,6,8,1]=>[2,2,3,1]=>10101001=>6 [5,7,2,4,8,3,1,6]=>[4,2,7,5,1,6,8,3]=>[1,2,1,3,1]=>11011001=>4 [7,1,4,3,6,8,2,5]=>[2,8,5,6,3,1,7,4]=>[2,2,1,2,1]=>10101101=>6 [3,8,6,1,7,5,4,2]=>[6,1,3,8,2,4,5,7]=>[1,3,4]=>11001000=>3 [1,8,6,3,5,4,7,2]=>[8,1,3,6,4,5,2,7]=>[1,3,2,2]=>11001010=>5 [5,4,1,8,6,3,7,2]=>[4,5,8,1,3,6,2,7]=>[3,3,2]=>10010010=>5 [6,3,5,4,1,8,7,2]=>[3,6,4,5,8,1,2,7]=>[2,3,3]=>10100100=>5 [6,1,2,4,3,8,5,7]=>[3,8,7,5,6,1,4,2]=>[2,1,2,2,1]=>10110101=>6 [6,3,1,5,4,8,7,2]=>[3,6,8,4,5,1,2,7]=>[3,2,3]=>10010100=>5 [6,3,5,8,4,1,7,2]=>[3,6,4,1,5,8,2,7]=>[2,1,3,2]=>10110010=>5 [7,2,1,8,5,4,6,3]=>[2,7,8,1,4,5,3,6]=>[3,3,2]=>10010010=>5 [1,6,3,7,5,4,8,2]=>[8,3,6,2,4,5,1,7]=>[1,2,3,2]=>11010010=>5 [7,1,3,8,5,4,2,6]=>[2,8,6,1,4,5,7,3]=>[2,1,4,1]=>10110001=>4 [6,8,2,7,3,4,5,1]=>[3,1,7,2,6,5,4,8]=>[1,2,2,1,2]=>11010110=>5 [4,8,7,3,5,1,6,2]=>[5,1,2,6,4,8,3,7]=>[1,3,2,2]=>11001010=>5 [5,3,8,7,1,6,2,4]=>[4,6,1,2,8,3,7,5]=>[2,3,2,1]=>10100101=>6 [4,1,6,7,2,5,3,8]=>[5,8,3,2,7,4,6,1]=>[2,1,2,2,1]=>10110101=>6 [4,5,1,7,8,2,6,3]=>[5,4,8,2,1,7,3,6]=>[1,2,1,2,2]=>11011010=>5 [3,5,1,7,4,2,8,6]=>[6,4,8,2,5,7,1,3]=>[1,2,3,2]=>11010010=>5 [4,2,5,7,1,3,8,6]=>[5,7,4,2,8,6,1,3]=>[2,1,2,1,2]=>10110110=>5 [3,4,2,7,6,1,8,5]=>[6,5,7,2,3,8,1,4]=>[1,2,3,2]=>11010010=>5 [3,5,2,6,1,8,4,7]=>[6,4,7,3,8,1,5,2]=>[1,2,2,2,1]=>11010101=>6 [5,2,6,7,4,3,1,8]=>[4,7,3,2,5,6,8,1]=>[2,1,4,1]=>10110001=>4 [8,5,1,6,4,3,2,7]=>[1,4,8,3,5,6,7,2]=>[3,4,1]=>10010001=>4 [8,6,3,5,2,7,1,4]=>[1,3,6,4,7,2,8,5]=>[3,2,2,1]=>10010101=>6 [8,4,6,2,1,5,7,3]=>[1,5,3,7,8,4,2,6]=>[2,3,1,2]=>10100110=>5 [8,5,2,1,6,4,7,3]=>[1,4,7,8,3,5,2,6]=>[4,2,2]=>10001010=>5 [1,7,2,8,5,4,6,3]=>[8,2,7,1,4,5,3,6]=>[1,2,3,2]=>11010010=>5 [6,7,1,4,8,5,3,2]=>[3,2,8,5,1,4,6,7]=>[1,2,1,4]=>11011000=>3 [4,3,7,8,6,1,5,2]=>[5,6,2,1,3,8,4,7]=>[2,1,3,2]=>10110010=>5 [1,2,6,3,7,8,5,4]=>[8,7,3,6,2,1,4,5]=>[1,1,2,1,3]=>11101100=>3 [6,1,3,7,8,5,4,2]=>[3,8,6,2,1,4,5,7]=>[2,1,1,4]=>10111000=>3 [4,3,5,7,8,2,1,6]=>[5,6,4,2,1,7,8,3]=>[2,1,1,3,1]=>10111001=>4 [3,6,8,5,4,2,1,7]=>[6,3,1,4,5,7,8,2]=>[1,1,5,1]=>11100001=>2 [8,2,7,6,3,5,1,4]=>[1,7,2,3,6,4,8,5]=>[2,3,2,1]=>10100101=>6 [1,6,7,3,5,8,2,4]=>[8,3,2,6,4,1,7,5]=>[1,1,2,1,2,1]=>11101101=>4 [1,3,2,5,6,7,8,9,4]=>[9,7,8,5,4,3,2,1,6]=>[1,2,1,1,1,1,2]=>110111110=>3 [6,4,1,7,5,8,2,3]=>[3,5,8,2,4,1,7,6]=>[3,2,2,1]=>10010101=>6 [4,6,5,2,3,1,7,8]=>[5,3,4,7,6,8,2,1]=>[1,3,2,1,1]=>11001011=>4 [4,5,7,1,3,2,8,6]=>[5,4,2,8,6,7,1,3]=>[1,1,2,2,2]=>11101010=>5 [1,6,5,8,3,4,7,2]=>[8,3,4,1,6,5,2,7]=>[1,2,2,1,2]=>11010110=>5 [5,2,4,7,6,1,3,8]=>[4,7,5,2,3,8,6,1]=>[2,1,3,1,1]=>10110011=>4 [6,1,8,4,7,5,2,3]=>[3,8,1,5,2,4,7,6]=>[2,2,3,1]=>10101001=>6 [6,5,1,4,3,7,2,8]=>[3,4,8,5,6,2,7,1]=>[3,2,2,1]=>10010101=>6 [4,6,2,5,7,3,1,8]=>[5,3,7,4,2,6,8,1]=>[1,2,1,3,1]=>11011001=>4 [6,3,4,2,8,7,1,5]=>[3,6,5,7,1,2,8,4]=>[2,2,3,1]=>10101001=>6 [5,6,3,7,2,8,4,1]=>[4,3,6,2,7,1,5,8]=>[1,2,2,3]=>11010100=>5 [4,5,1,8,6,2,7,3]=>[5,4,8,1,3,7,2,6]=>[1,2,3,2]=>11010010=>5 [5,6,1,8,7,2,3,4]=>[4,3,8,1,2,7,6,5]=>[1,2,3,1,1]=>11010011=>4 [4,6,2,8,7,1,3,5]=>[5,3,7,1,2,8,6,4]=>[1,2,3,1,1]=>11010011=>4 [4,2,6,7,8,5,1,3]=>[5,7,3,2,1,4,8,6]=>[2,1,1,3,1]=>10111001=>4 [4,5,1,6,8,7,3,2]=>[5,4,8,3,1,2,6,7]=>[1,2,1,4]=>11011000=>3 [2,8,3,4,5,6,1,7]=>[7,1,6,5,4,3,8,2]=>[1,2,1,1,2,1]=>11011101=>4 [3,8,6,1,5,2,4,7]=>[6,1,3,8,4,7,5,2]=>[1,3,2,1,1]=>11001011=>4 [3,2,8,1,5,6,4,7]=>[6,7,1,8,4,3,5,2]=>[2,2,1,2,1]=>10101101=>6 [5,8,7,3,2,1,4,6]=>[4,1,2,6,7,8,5,3]=>[1,5,1,1]=>11000011=>2 [3,4,7,6,8,2,1,5]=>[6,5,2,3,1,7,8,4]=>[1,1,2,3,1]=>11101001=>4 [2,8,1,3,7,5,6,4]=>[7,1,8,6,2,4,3,5]=>[1,2,1,2,2]=>11011010=>5 [2,3,6,4,7,8,1,5]=>[7,6,3,5,2,1,8,4]=>[1,1,2,1,2,1]=>11101101=>4 [2,3,7,4,5,8,1,6]=>[7,6,2,5,4,1,8,3]=>[1,1,2,1,2,1]=>11101101=>4 [7,6,1,2,5,8,4,3]=>[2,3,8,7,4,1,5,6]=>[3,1,1,3]=>10011100=>3 [3,4,7,1,5,8,2,6]=>[6,5,2,8,4,1,7,3]=>[1,1,2,1,2,1]=>11101101=>4 [4,2,7,1,5,8,3,6]=>[5,7,2,8,4,1,6,3]=>[2,2,1,2,1]=>10101101=>6 [2,4,6,3,5,1,7,8]=>[7,5,3,6,4,8,2,1]=>[1,1,2,2,1,1]=>11101011=>4 [4,1,6,2,5,8,3,7]=>[5,8,3,7,4,1,6,2]=>[2,2,1,2,1]=>10101101=>6 [1,8,2,5,7,3,4,6]=>[8,1,7,4,2,6,5,3]=>[1,2,1,2,1,1]=>11011011=>4 [1,4,6,3,8,5,2,7]=>[8,5,3,6,1,4,7,2]=>[1,1,2,3,1]=>11101001=>4 [4,5,6,3,1,7,2,8]=>[5,4,3,6,8,2,7,1]=>[1,1,3,2,1]=>11100101=>4 [3,4,6,2,5,1,7,8]=>[6,5,3,7,4,8,2,1]=>[1,1,2,2,1,1]=>11101011=>4 [1,4,6,5,8,2,3,7]=>[8,5,3,4,1,7,6,2]=>[1,1,2,2,1,1]=>11101011=>4 [1,4,5,3,7,2,6,8]=>[8,5,4,6,2,7,3,1]=>[1,1,2,2,1,1]=>11101011=>4 [2,5,7,3,8,6,1,4]=>[7,4,2,6,1,3,8,5]=>[1,1,2,3,1]=>11101001=>4 [2,4,7,8,3,6,1,5]=>[7,5,2,1,6,3,8,4]=>[1,1,1,2,2,1]=>11110101=>4 [2,5,7,6,8,3,4,1]=>[7,4,2,3,1,6,5,8]=>[1,1,2,2,2]=>11101010=>5 [2,5,7,6,8,3,1,4]=>[7,4,2,3,1,6,8,5]=>[1,1,2,3,1]=>11101001=>4 [2,8,6,7,1,3,4,5]=>[7,1,3,2,8,6,5,4]=>[1,2,2,1,1,1]=>11010111=>4 [6,3,4,8,5,2,1,7]=>[3,6,5,1,4,7,8,2]=>[2,1,4,1]=>10110001=>4 [6,7,1,3,5,4,8,2]=>[3,2,8,6,4,5,1,7]=>[1,2,1,2,2]=>11011010=>5 [6,5,4,7,1,8,3,2]=>[3,4,5,2,8,1,6,7]=>[3,2,3]=>10010100=>5 [3,1,6,7,2,8,5,4]=>[6,8,3,2,7,1,4,5]=>[2,1,2,3]=>10110100=>5 [1,6,8,5,3,4,7,2]=>[8,3,1,4,6,5,2,7]=>[1,1,3,1,2]=>11100110=>3 [8,3,6,4,7,1,5,2]=>[1,6,3,5,2,8,4,7]=>[2,2,2,2]=>10101010=>7 [6,5,1,3,8,4,7,2]=>[3,4,8,6,1,5,2,7]=>[3,1,2,2]=>10011010=>5 [5,1,3,6,8,4,7,2]=>[4,8,6,3,1,5,2,7]=>[2,1,1,2,2]=>10111010=>5 [3,8,4,6,5,1,7,2]=>[6,1,5,3,4,8,2,7]=>[1,2,3,2]=>11010010=>5 [7,3,1,2,6,8,5,4]=>[2,6,8,7,3,1,4,5]=>[3,1,1,3]=>10011100=>3 [1,7,4,8,5,3,2,6]=>[8,2,5,1,4,6,7,3]=>[1,2,4,1]=>11010001=>4 [7,3,1,6,8,4,5,2]=>[2,6,8,3,1,5,4,7]=>[3,1,2,2]=>10011010=>5 [8,4,5,1,6,7,3,2]=>[1,5,4,8,3,2,6,7]=>[2,2,1,3]=>10101100=>5 [8,5,1,4,6,7,3,2]=>[1,4,8,5,3,2,6,7]=>[3,1,1,3]=>10011100=>3 [3,4,7,5,6,8,2,1]=>[6,5,2,4,3,1,7,8]=>[1,1,2,1,3]=>11101100=>3 [3,4,7,8,5,2,6,1]=>[6,5,2,1,4,7,3,8]=>[1,1,1,3,2]=>11110010=>3 [4,5,8,6,1,7,2,3]=>[5,4,1,3,8,2,7,6]=>[1,1,3,2,1]=>11100101=>4 [4,8,5,6,1,7,2,3]=>[5,1,4,3,8,2,7,6]=>[1,2,2,2,1]=>11010101=>6 [2,5,8,6,3,7,4,1]=>[7,4,1,3,6,2,5,8]=>[1,1,3,3]=>11100100=>3 [3,4,7,2,8,6,5,1]=>[6,5,2,7,1,3,4,8]=>[1,1,2,4]=>11101000=>3 [2,3,8,4,7,5,1,6]=>[7,6,1,5,2,4,8,3]=>[1,1,2,3,1]=>11101001=>4 [3,8,4,5,1,7,6,2]=>[6,1,5,4,8,2,3,7]=>[1,2,2,3]=>11010100=>5 [7,4,1,2,5,3,6,8]=>[2,5,8,7,4,6,3,1]=>[3,1,2,1,1]=>10011011=>4 [4,3,7,5,1,2,6,8]=>[5,6,2,4,8,7,3,1]=>[2,3,1,1,1]=>10100111=>4 [4,5,3,1,6,2,7,8]=>[5,4,6,8,3,7,2,1]=>[1,3,2,1,1]=>11001011=>4 [7,4,2,1,5,3,6,8]=>[2,5,7,8,4,6,3,1]=>[4,2,1,1]=>10001011=>4 [6,3,7,5,4,2,1,8]=>[3,6,2,4,5,7,8,1]=>[2,5,1]=>10100001=>4 [2,7,3,1,4,6,5,8]=>[7,2,6,8,5,3,4,1]=>[1,3,1,2,1]=>11001101=>4 [2,5,3,1,7,6,4,8]=>[7,4,6,8,2,3,5,1]=>[1,3,3,1]=>11001001=>4 [4,5,1,3,6,2,7,8]=>[5,4,8,6,3,7,2,1]=>[1,2,1,2,1,1]=>11011011=>4 [5,6,4,1,3,2,7,8]=>[4,3,5,8,6,7,2,1]=>[1,3,2,1,1]=>11001011=>4 [7,2,4,3,1,5,6,8]=>[2,7,5,6,8,4,3,1]=>[2,3,1,1,1]=>10100111=>4 [6,3,1,4,8,5,7,2]=>[3,6,8,5,1,4,2,7]=>[3,1,2,2]=>10011010=>5 [6,3,5,4,8,7,1,2]=>[3,6,4,5,1,2,8,7]=>[2,2,3,1]=>10101001=>6 [2,6,4,3,1,7,5,8]=>[7,3,5,6,8,2,4,1]=>[1,4,2,1]=>11000101=>4 [4,8,1,7,5,6,3,2]=>[5,1,8,2,4,3,6,7]=>[1,2,2,3]=>11010100=>5 [1,5,7,2,8,4,6,3]=>[8,4,2,7,1,5,3,6]=>[1,1,2,2,2]=>11101010=>5 [4,6,5,1,2,3,7,8]=>[5,3,4,8,7,6,2,1]=>[1,3,1,1,1,1]=>11001111=>2 [1,8,7,5,2,6,3,4]=>[8,1,2,4,7,3,6,5]=>[1,4,2,1]=>11000101=>4 [1,8,7,4,5,6,2,3]=>[8,1,2,5,4,3,7,6]=>[1,3,1,2,1]=>11001101=>4 [1,8,7,3,6,4,2,5]=>[8,1,2,6,3,5,7,4]=>[1,3,3,1]=>11001001=>4 [1,4,7,5,8,2,6,3]=>[8,5,2,4,1,7,3,6]=>[1,1,2,2,2]=>11101010=>5 [1,2,6,5,8,3,4,7]=>[8,7,3,4,1,6,5,2]=>[1,1,2,2,1,1]=>11101011=>4 [1,5,8,2,6,3,4,7]=>[8,4,1,7,3,6,5,2]=>[1,1,2,2,1,1]=>11101011=>4 [6,3,5,1,4,2,7,8]=>[3,6,4,8,5,7,2,1]=>[2,2,2,1,1]=>10101011=>6 [7,4,2,1,3,8,6,5]=>[2,5,7,8,6,1,3,4]=>[4,1,3]=>10001100=>3 [8,1,6,7,3,5,2,4]=>[1,8,3,2,6,4,7,5]=>[2,1,2,2,1]=>10110101=>6 [7,3,6,8,1,2,5,4]=>[2,6,3,1,8,7,4,5]=>[2,1,2,1,2]=>10110110=>5 [7,3,5,6,8,2,4,1]=>[2,6,4,3,1,7,5,8]=>[2,1,1,2,2]=>10111010=>5 [7,2,6,4,8,1,5,3]=>[2,7,3,5,1,8,4,6]=>[2,2,2,2]=>10101010=>7 [7,3,2,1,5,8,6,4]=>[2,6,7,8,4,1,3,5]=>[4,1,3]=>10001100=>3 [4,1,5,7,2,6,3,8]=>[5,8,4,2,7,3,6,1]=>[2,1,2,2,1]=>10110101=>6 [5,7,2,1,3,6,4,8]=>[4,2,7,8,6,3,5,1]=>[1,3,1,2,1]=>11001101=>4 [6,1,8,7,2,5,3,4]=>[3,8,1,2,7,4,6,5]=>[2,3,2,1]=>10100101=>6 [7,2,5,8,6,4,3,1]=>[2,7,4,1,3,5,6,8]=>[2,1,5]=>10110000=>3 [2,5,4,1,7,6,3,8]=>[7,4,5,8,2,3,6,1]=>[1,3,3,1]=>11001001=>4 [5,1,6,8,3,2,4,7]=>[4,8,3,1,6,7,5,2]=>[2,1,3,1,1]=>10110011=>4 [2,6,8,7,3,5,4,1]=>[7,3,1,2,6,4,5,8]=>[1,1,3,3]=>11100100=>3 [2,1,8,6,5,3,4,7]=>[7,8,1,3,4,6,5,2]=>[2,4,1,1]=>10100011=>4 [3,5,6,7,2,4,1,8]=>[6,4,3,2,7,5,8,1]=>[1,1,1,2,2,1]=>11110101=>4 [6,4,7,5,2,3,1,8]=>[3,5,2,4,7,6,8,1]=>[2,3,2,1]=>10100101=>6 [1,5,6,4,8,3,2,7]=>[8,4,3,5,1,6,7,2]=>[1,1,2,3,1]=>11101001=>4 [2,1,5,6,4,8,3,7]=>[7,8,4,3,5,1,6,2]=>[2,1,2,2,1]=>10110101=>6 [5,1,4,7,8,6,2,3]=>[4,8,5,2,1,3,7,6]=>[2,1,1,3,1]=>10111001=>4 [1,6,7,2,8,5,4,3]=>[8,3,2,7,1,4,5,6]=>[1,1,2,4]=>11101000=>3 [5,3,2,1,7,8,6,4]=>[4,6,7,8,2,1,3,5]=>[4,1,3]=>10001100=>3 [7,4,3,8,6,1,5,2]=>[2,5,6,1,3,8,4,7]=>[3,3,2]=>10010010=>5 [4,3,7,1,5,8,6,2]=>[5,6,2,8,4,1,3,7]=>[2,2,1,3]=>10101100=>5 [8,2,4,5,3,1,7,6]=>[1,7,5,4,6,8,2,3]=>[2,1,3,2]=>10110010=>5 [1,4,3,2,7,5,8,6]=>[8,5,6,7,2,4,1,3]=>[1,3,2,2]=>11001010=>5 [4,8,7,2,6,1,3,5]=>[5,1,2,7,3,8,6,4]=>[1,3,2,1,1]=>11001011=>4 [4,5,8,2,1,7,3,6]=>[5,4,1,7,8,2,6,3]=>[1,1,3,2,1]=>11100101=>4 [6,8,4,1,7,3,2,5]=>[3,1,5,8,2,6,7,4]=>[1,3,3,1]=>11001001=>4 [5,6,4,3,2,1,7,8,9]=>[5,4,6,7,8,9,3,2,1]=>[1,5,1,1,1]=>110000111=>2 [4,5,3,2,1,6,7,8,9]=>[6,5,7,8,9,4,3,2,1]=>[1,4,1,1,1,1]=>110001111=>2 [6,7,4,3,2,1,5,8,9]=>[4,3,6,7,8,9,5,2,1]=>[1,5,1,1,1]=>110000111=>2 [7,6,8,9,5,4,3,2,1]=>[3,4,2,1,5,6,7,8,9]=>[2,1,6]=>101100000=>3 [7,6,8,5,9,4,3,2,1]=>[3,4,2,5,1,6,7,8,9]=>[2,2,5]=>101010000=>5 [6,3,1,8,2,7,5,4]=>[3,6,8,1,7,2,4,5]=>[3,2,3]=>10010100=>5 [3,8,5,2,1,7,6,4]=>[6,1,4,7,8,2,3,5]=>[1,4,3]=>11000100=>3 [2,4,8,7,5,1,6,3]=>[7,5,1,2,4,8,3,6]=>[1,1,4,2]=>11100010=>3 [6,4,1,3,2,5,7,8]=>[3,5,8,6,7,4,2,1]=>[3,2,1,1,1]=>10010111=>4 [4,1,7,8,3,2,5,6]=>[5,8,2,1,6,7,4,3]=>[2,1,3,1,1]=>10110011=>4 [5,4,7,1,3,6,2,8]=>[4,5,2,8,6,3,7,1]=>[2,2,1,2,1]=>10101101=>6 [8,1,7,6,5,4,3,2,9]=>[2,9,3,4,5,6,7,8,1]=>[2,6,1]=>101000001=>4 [3,2,9,8,7,6,5,1,4]=>[7,8,1,2,3,4,5,9,6]=>[2,6,1]=>101000001=>4 [1,8,2,4,5,3,6,7]=>[8,1,7,5,4,6,3,2]=>[1,2,1,2,1,1]=>11011011=>4 [1,8,2,4,5,3,7,6]=>[8,1,7,5,4,6,2,3]=>[1,2,1,2,2]=>11011010=>5 [3,5,8,6,2,1,7,4]=>[6,4,1,3,7,8,2,5]=>[1,1,4,2]=>11100010=>3 [2,8,6,1,3,4,7,5]=>[7,1,3,8,6,5,2,4]=>[1,3,1,1,2]=>11001110=>3 [6,5,7,2,3,8,4,1]=>[3,4,2,7,6,1,5,8]=>[2,2,1,3]=>10101100=>5 [5,6,8,2,7,4,3,1]=>[4,3,1,7,2,5,6,8]=>[1,1,2,4]=>11101000=>3 [5,8,2,1,3,6,4,7]=>[4,1,7,8,6,3,5,2]=>[1,3,1,2,1]=>11001101=>4 [5,8,2,1,7,4,6,3]=>[4,1,7,8,2,5,3,6]=>[1,3,2,2]=>11001010=>5 [5,7,6,2,8,4,3,1]=>[4,2,3,7,1,5,6,8]=>[1,3,4]=>11001000=>3 [2,8,6,1,7,5,4,3]=>[7,1,3,8,2,4,5,6]=>[1,3,4]=>11001000=>3 [8,2,4,3,7,1,5,6]=>[1,7,5,6,2,8,4,3]=>[2,2,2,1,1]=>10101011=>6 [1,4,8,5,7,3,2,6]=>[8,5,1,4,2,6,7,3]=>[1,1,2,3,1]=>11101001=>4 [8,2,3,7,1,6,4,5]=>[1,7,6,2,8,3,5,4]=>[2,1,2,2,1]=>10110101=>6 [6,5,1,4,8,7,3,2]=>[3,4,8,5,1,2,6,7]=>[3,1,4]=>10011000=>3 [8,5,1,7,3,4,6,2]=>[1,4,8,2,6,5,3,7]=>[3,2,1,2]=>10010110=>5 [6,2,5,4,1,7,3,8]=>[3,7,4,5,8,2,6,1]=>[2,3,2,1]=>10100101=>6 [6,2,8,7,4,1,5,3]=>[3,7,1,2,5,8,4,6]=>[2,4,2]=>10100010=>5 [8,4,6,1,5,3,7,2]=>[1,5,3,8,4,6,2,7]=>[2,2,2,2]=>10101010=>7 [4,1,2,6,5,7,3,8]=>[5,8,7,3,4,2,6,1]=>[2,1,2,2,1]=>10110101=>6 [8,6,5,4,1,7,3,2]=>[1,3,4,5,8,2,6,7]=>[5,3]=>10000100=>3 [5,7,6,3,4,1,8,2]=>[4,2,3,6,5,8,1,7]=>[1,3,2,2]=>11001010=>5 [5,3,1,6,4,7,8,2]=>[4,6,8,3,5,2,1,7]=>[3,2,1,2]=>10010110=>5 [8,3,5,6,4,1,7,2]=>[1,6,4,3,5,8,2,7]=>[2,1,3,2]=>10110010=>5 [2,1,5,7,3,6,4,8]=>[7,8,4,2,6,3,5,1]=>[2,1,2,2,1]=>10110101=>6 [6,4,5,8,2,1,3,7]=>[3,5,4,1,7,8,6,2]=>[2,1,3,1,1]=>10110011=>4 [1,3,6,2,8,5,7,4]=>[8,6,3,7,1,4,2,5]=>[1,1,2,2,2]=>11101010=>5 [5,3,8,6,1,7,2,4]=>[4,6,1,3,8,2,7,5]=>[2,3,2,1]=>10100101=>6 [2,5,3,6,8,1,7,4]=>[7,4,6,3,1,8,2,5]=>[1,2,1,2,2]=>11011010=>5 [7,1,5,6,4,8,2,3]=>[2,8,4,3,5,1,7,6]=>[2,1,2,2,1]=>10110101=>6 [1,8,3,6,2,5,7,4]=>[8,1,6,3,7,4,2,5]=>[1,2,2,1,2]=>11010110=>5 [3,1,8,6,2,5,7,4]=>[6,8,1,3,7,4,2,5]=>[2,3,1,2]=>10100110=>5 [6,4,2,3,1,7,8,5]=>[3,5,7,6,8,2,1,4]=>[3,2,1,2]=>10010110=>5 [1,8,3,5,2,6,4,7]=>[8,1,6,4,7,3,5,2]=>[1,2,2,2,1]=>11010101=>6 [3,4,6,1,8,5,7,2]=>[6,5,3,8,1,4,2,7]=>[1,1,2,2,2]=>11101010=>5 [2,3,8,7,4,5,1,6]=>[7,6,1,2,5,4,8,3]=>[1,1,3,2,1]=>11100101=>4 [1,8,3,5,7,4,2,6]=>[8,1,6,4,2,5,7,3]=>[1,2,1,3,1]=>11011001=>4 [2,5,8,4,6,7,1,3]=>[7,4,1,5,3,2,8,6]=>[1,1,2,1,2,1]=>11101101=>4 [9,8,6,1,2,3,4,5,7]=>[1,2,4,9,8,7,6,5,3]=>[4,1,1,1,1,1]=>100011111=>2 [9,8,7,5,1,2,3,4,6]=>[1,2,3,5,9,8,7,6,4]=>[5,1,1,1,1]=>100001111=>2 [9,8,7,6,4,1,2,3,5]=>[1,2,3,4,6,9,8,7,5]=>[6,1,1,1]=>100000111=>2 [9,8,7,6,5,3,1,2,4]=>[1,2,3,4,5,7,9,8,6]=>[7,1,1]=>100000011=>2 [7,1,2,6,4,3,5,8]=>[2,8,7,3,5,6,4,1]=>[2,1,3,1,1]=>10110011=>4 [7,1,2,6,5,3,4,8]=>[2,8,7,3,4,6,5,1]=>[2,1,3,1,1]=>10110011=>4 [3,4,6,2,7,1,8,5]=>[6,5,3,7,2,8,1,4]=>[1,1,2,2,2]=>11101010=>5 [5,1,2,7,4,3,8,6]=>[4,8,7,2,5,6,1,3]=>[2,1,3,2]=>10110010=>5 [2,1,4,7,3,8,6,5]=>[7,8,5,2,6,1,3,4]=>[2,1,2,3]=>10110100=>5 [6,4,3,5,1,7,8,2]=>[3,5,6,4,8,2,1,7]=>[3,2,1,2]=>10010110=>5 [5,4,6,8,3,7,1,2]=>[4,5,3,1,6,2,8,7]=>[2,1,2,2,1]=>10110101=>6 [2,7,4,6,3,5,8,1]=>[7,2,5,3,6,4,1,8]=>[1,2,2,1,2]=>11010110=>5 [7,1,4,6,3,5,8,2]=>[2,8,5,3,6,4,1,7]=>[2,1,2,1,2]=>10110110=>5 [4,3,6,7,2,5,8,1]=>[5,6,3,2,7,4,1,8]=>[2,1,2,1,2]=>10110110=>5 [4,3,6,8,2,5,1,7]=>[5,6,3,1,7,4,8,2]=>[2,1,2,2,1]=>10110101=>6 [4,7,8,6,2,3,5,1]=>[5,2,1,3,7,6,4,8]=>[1,1,3,1,2]=>11100110=>3 [3,2,8,6,4,7,5,1]=>[6,7,1,3,5,2,4,8]=>[2,3,3]=>10100100=>5 [2,8,4,7,3,1,5,6]=>[7,1,5,2,6,8,4,3]=>[1,2,3,1,1]=>11010011=>4 [2,3,1,4,8,7,5,6]=>[7,6,8,5,1,2,4,3]=>[1,2,1,3,1]=>11011001=>4 [3,1,5,8,2,6,4,7]=>[6,8,4,1,7,3,5,2]=>[2,1,2,2,1]=>10110101=>6 [7,1,2,4,8,6,5,3]=>[2,8,7,5,1,3,4,6]=>[2,1,1,4]=>10111000=>3 [3,5,4,1,8,7,6,2]=>[6,4,5,8,1,2,3,7]=>[1,3,4]=>11001000=>3 [5,2,4,1,8,7,6,3]=>[4,7,5,8,1,2,3,6]=>[2,2,4]=>10101000=>5 [5,3,4,1,8,7,6,2]=>[4,6,5,8,1,2,3,7]=>[2,2,4]=>10101000=>5 [7,1,3,2,8,6,5,4]=>[2,8,6,7,1,3,4,5]=>[2,2,4]=>10101000=>5 [2,5,3,1,8,7,6,4]=>[7,4,6,8,1,2,3,5]=>[1,3,4]=>11001000=>3 [4,3,5,1,8,7,6,2]=>[5,6,4,8,1,2,3,7]=>[2,2,4]=>10101000=>5 [4,6,1,8,7,2,3,5]=>[5,3,8,1,2,7,6,4]=>[1,2,3,1,1]=>11010011=>4 [2,7,5,6,4,8,1,3]=>[7,2,4,3,5,1,8,6]=>[1,2,2,2,1]=>11010101=>6 [2,7,3,5,6,1,8,4]=>[7,2,6,4,3,8,1,5]=>[1,2,1,2,2]=>11011010=>5 [4,8,2,5,6,1,7,3]=>[5,1,7,4,3,8,2,6]=>[1,2,1,2,2]=>11011010=>5 [3,8,4,7,1,5,6,2]=>[6,1,5,2,8,4,3,7]=>[1,2,2,1,2]=>11010110=>5 [3,6,7,1,5,8,4,2]=>[6,3,2,8,4,1,5,7]=>[1,1,2,1,3]=>11101100=>3 [2,8,3,6,5,7,1,4]=>[7,1,6,3,4,2,8,5]=>[1,2,2,2,1]=>11010101=>6 [4,3,7,1,8,6,2,5]=>[5,6,2,8,1,3,7,4]=>[2,2,3,1]=>10101001=>6 [3,8,1,6,2,4,7,5]=>[6,1,8,3,7,5,2,4]=>[1,2,2,1,2]=>11010110=>5 [2,5,8,4,1,6,7,3]=>[7,4,1,5,8,3,2,6]=>[1,1,3,1,2]=>11100110=>3 [9,8,4,7,6,5,3,2,1]=>[1,2,6,3,4,5,7,8,9]=>[3,6]=>100100000=>3 [9,3,8,7,6,5,4,2,1]=>[1,7,2,3,4,5,6,8,9]=>[2,7]=>101000000=>3 [9,2,8,7,6,5,4,3,1]=>[1,8,2,3,4,5,6,7,9]=>[2,7]=>101000000=>3 [7,4,3,1,6,5,2,8]=>[2,5,6,8,3,4,7,1]=>[4,3,1]=>10001001=>4 [3,5,1,2,6,8,7,4]=>[6,4,8,7,3,1,2,5]=>[1,2,1,1,3]=>11011100=>3 [3,1,2,4,8,7,5,6]=>[6,8,7,5,1,2,4,3]=>[2,1,1,3,1]=>10111001=>4 [5,6,8,3,1,4,7,2]=>[4,3,1,6,8,5,2,7]=>[1,1,3,1,2]=>11100110=>3 [1,5,6,8,3,4,7,2]=>[8,4,3,1,6,5,2,7]=>[1,1,1,2,1,2]=>11110110=>3 [1,3,6,8,5,4,7,2]=>[8,6,3,1,4,5,2,7]=>[1,1,1,3,2]=>11110010=>3 [5,6,7,1,4,8,3,2]=>[4,3,2,8,5,1,6,7]=>[1,1,2,1,3]=>11101100=>3 [5,4,1,2,3,7,8,6]=>[4,5,8,7,6,2,1,3]=>[3,1,1,1,2]=>10011110=>3 [1,6,7,2,5,8,3,4]=>[8,3,2,7,4,1,6,5]=>[1,1,2,1,2,1]=>11101101=>4 [2,7,4,6,3,8,1,5]=>[7,2,5,3,6,1,8,4]=>[1,2,2,2,1]=>11010101=>6 [2,7,4,8,3,1,5,6]=>[7,2,5,1,6,8,4,3]=>[1,2,3,1,1]=>11010011=>4 [7,8,2,3,6,4,5,1]=>[2,1,7,6,3,5,4,8]=>[1,2,1,2,2]=>11011010=>5 [4,2,8,1,3,7,5,6]=>[5,7,1,8,6,2,4,3]=>[2,2,1,2,1]=>10101101=>6 [7,5,1,8,2,3,4,6]=>[2,4,8,1,7,6,5,3]=>[3,2,1,1,1]=>10010111=>4 [8,2,4,1,3,7,5,6]=>[1,7,5,8,6,2,4,3]=>[2,2,1,2,1]=>10101101=>6 [8,1,6,2,3,7,4,5]=>[1,8,3,7,6,2,5,4]=>[2,2,1,2,1]=>10101101=>6 [7,1,8,2,3,6,4,5]=>[2,8,1,7,6,3,5,4]=>[2,2,1,2,1]=>10101101=>6 [4,7,2,5,3,8,1,6]=>[5,2,7,4,6,1,8,3]=>[1,2,2,2,1]=>11010101=>6 [3,5,7,4,2,8,1,6]=>[6,4,2,5,7,1,8,3]=>[1,1,3,2,1]=>11100101=>4 [2,4,7,6,3,8,1,5]=>[7,5,2,3,6,1,8,4]=>[1,1,3,2,1]=>11100101=>4 [3,4,7,6,1,8,2,5]=>[6,5,2,3,8,1,7,4]=>[1,1,3,2,1]=>11100101=>4 [5,8,6,1,4,2,3,7]=>[4,1,3,8,5,7,6,2]=>[1,3,2,1,1]=>11001011=>4 [5,7,2,4,1,6,8,3]=>[4,2,7,5,8,3,1,6]=>[1,2,2,1,2]=>11010110=>5 [8,5,3,4,1,7,6,2]=>[1,4,6,5,8,2,3,7]=>[3,2,3]=>10010100=>5 [8,5,3,4,7,1,6,2]=>[1,4,6,5,2,8,3,7]=>[3,1,2,2]=>10011010=>5 [5,6,2,1,8,7,4,3]=>[4,3,7,8,1,2,5,6]=>[1,3,4]=>11001000=>3 [1,6,5,8,3,2,4,7]=>[8,3,4,1,6,7,5,2]=>[1,2,3,1,1]=>11010011=>4 [8,5,2,1,6,3,4,7]=>[1,4,7,8,3,6,5,2]=>[4,2,1,1]=>10001011=>4 [7,1,8,5,3,2,4,6]=>[2,8,1,4,6,7,5,3]=>[2,4,1,1]=>10100011=>4 [8,6,1,3,2,7,5,4]=>[1,3,8,6,7,2,4,5]=>[3,2,3]=>10010100=>5 [8,2,7,5,4,1,6,3]=>[1,7,2,4,5,8,3,6]=>[2,4,2]=>10100010=>5 [6,2,1,5,7,8,3,4]=>[3,7,8,4,2,1,6,5]=>[3,1,1,2,1]=>10011101=>4 [7,3,1,6,4,8,2,5]=>[2,6,8,3,5,1,7,4]=>[3,2,2,1]=>10010101=>6 [2,6,1,8,7,4,5,3]=>[7,3,8,1,2,5,4,6]=>[1,2,3,2]=>11010010=>5 [4,2,8,5,7,1,6,3]=>[5,7,1,4,2,8,3,6]=>[2,2,2,2]=>10101010=>7 [4,8,5,1,2,6,3,7]=>[5,1,4,8,7,3,6,2]=>[1,3,1,2,1]=>11001101=>4 [6,8,2,5,7,3,4,1]=>[3,1,7,4,2,6,5,8]=>[1,2,1,2,2]=>11011010=>5 [8,6,7,2,4,3,5,1]=>[1,3,2,7,5,6,4,8]=>[2,2,2,2]=>10101010=>7 [7,2,5,8,4,6,3,1]=>[2,7,4,1,5,3,6,8]=>[2,1,2,3]=>10110100=>5 [6,8,7,4,5,3,2,1]=>[3,1,2,5,4,6,7,8]=>[1,3,4]=>11001000=>3 [5,3,7,6,2,8,1,4]=>[4,6,2,3,7,1,8,5]=>[2,3,2,1]=>10100101=>6 [5,2,6,7,4,8,3,1]=>[4,7,3,2,5,1,6,8]=>[2,1,2,3]=>10110100=>5 [2,6,5,8,3,7,4,1]=>[7,3,4,1,6,2,5,8]=>[1,2,2,3]=>11010100=>5 [3,6,5,7,8,1,4,2]=>[6,3,4,2,1,8,5,7]=>[1,2,1,2,2]=>11011010=>5 [4,5,7,1,8,6,3,2]=>[5,4,2,8,1,3,6,7]=>[1,1,2,4]=>11101000=>3 [3,7,6,5,4,1,2,8]=>[6,2,3,4,5,8,7,1]=>[1,5,1,1]=>11000011=>2 [7,6,8,3,1,4,2,5]=>[2,3,1,6,8,5,7,4]=>[2,3,2,1]=>10100101=>6 [8,5,1,7,3,6,4,2]=>[1,4,8,2,6,3,5,7]=>[3,2,3]=>10010100=>5 [2,6,4,7,5,1,3,8]=>[7,3,5,2,4,8,6,1]=>[1,2,3,1,1]=>11010011=>4 [6,5,8,1,7,3,2,4]=>[3,4,1,8,2,6,7,5]=>[2,2,3,1]=>10101001=>6 [6,4,8,1,5,2,3,7]=>[3,5,1,8,4,7,6,2]=>[2,2,2,1,1]=>10101011=>6 [7,2,4,1,6,3,5,8]=>[2,7,5,8,3,6,4,1]=>[2,2,2,1,1]=>10101011=>6 [5,2,4,1,3,6,8,7]=>[4,7,5,8,6,3,1,2]=>[2,2,1,1,2]=>10101110=>5 [2,6,1,5,3,4,8,7]=>[7,3,8,4,6,5,1,2]=>[1,2,2,1,2]=>11010110=>5 [2,8,7,3,1,4,5,6]=>[7,1,2,6,8,5,4,3]=>[1,4,1,1,1]=>11000111=>2 [5,6,1,2,4,7,8,3]=>[4,3,8,7,5,2,1,6]=>[1,2,1,1,1,2]=>11011110=>3 [7,8,5,1,4,6,2,3]=>[2,1,4,8,5,3,7,6]=>[1,3,1,2,1]=>11001101=>4 [8,2,7,5,4,6,1,3]=>[1,7,2,4,5,3,8,6]=>[2,3,2,1]=>10100101=>6 [8,4,7,6,3,1,2,5]=>[1,5,2,3,6,8,7,4]=>[2,4,1,1]=>10100011=>4 [4,6,7,1,3,2,8,5]=>[5,3,2,8,6,7,1,4]=>[1,1,2,2,2]=>11101010=>5 [8,4,6,3,1,5,7,2]=>[1,5,3,6,8,4,2,7]=>[2,3,1,2]=>10100110=>5 [7,3,1,4,5,6,8,2]=>[2,6,8,5,4,3,1,7]=>[3,1,1,1,2]=>10011110=>3 [8,9,1,2,4,3,5,6,7]=>[2,1,9,8,6,7,5,4,3]=>[1,2,1,2,1,1,1]=>110110111=>4 [7,8,1,2,4,5,3,6]=>[2,1,8,7,5,4,6,3]=>[1,2,1,1,2,1]=>11011101=>4 [1,8,5,7,3,2,6,4]=>[8,1,4,2,6,7,3,5]=>[1,2,3,2]=>11010010=>5 [1,7,5,8,3,2,6,4]=>[8,2,4,1,6,7,3,5]=>[1,2,3,2]=>11010010=>5 [8,3,2,4,1,6,5,7]=>[1,6,7,5,8,3,4,2]=>[3,2,2,1]=>10010101=>6 [7,3,2,4,1,8,5,6]=>[2,6,7,5,8,1,4,3]=>[3,2,2,1]=>10010101=>6 [7,2,4,3,6,1,5,8]=>[2,7,5,6,3,8,4,1]=>[2,2,2,1,1]=>10101011=>6 [6,3,2,4,7,1,5,8]=>[3,6,7,5,2,8,4,1]=>[3,1,2,1,1]=>10011011=>4 [6,7,3,4,2,1,8,5]=>[3,2,6,5,7,8,1,4]=>[1,2,3,2]=>11010010=>5 [6,4,8,3,1,5,7,2]=>[3,5,1,6,8,4,2,7]=>[2,3,1,2]=>10100110=>5 [7,4,2,3,5,1,8,6]=>[2,5,7,6,4,8,1,3]=>[3,1,2,2]=>10011010=>5 [3,1,6,5,2,4,8,7]=>[6,8,3,4,7,5,1,2]=>[2,3,1,2]=>10100110=>5 [3,6,8,7,4,5,1,2]=>[6,3,1,2,5,4,8,7]=>[1,1,3,2,1]=>11100101=>4 [2,5,3,8,6,4,1,7]=>[7,4,6,1,3,5,8,2]=>[1,2,4,1]=>11010001=>4 [7,4,2,8,5,3,1,6]=>[2,5,7,1,4,6,8,3]=>[3,4,1]=>10010001=>4 [6,8,3,2,7,4,1,5]=>[3,1,6,7,2,5,8,4]=>[1,3,3,1]=>11001001=>4 [7,2,8,3,6,4,1,5]=>[2,7,1,6,3,5,8,4]=>[2,2,3,1]=>10101001=>6 [5,2,3,8,6,4,1,7]=>[4,7,6,1,3,5,8,2]=>[2,1,4,1]=>10110001=>4 [4,2,5,8,6,3,1,7]=>[5,7,4,1,3,6,8,2]=>[2,1,4,1]=>10110001=>4 [5,8,3,4,6,2,1,7]=>[4,1,6,5,3,7,8,2]=>[1,2,1,3,1]=>11011001=>4 [5,7,4,1,8,3,6,2]=>[4,2,5,8,1,6,3,7]=>[1,3,2,2]=>11001010=>5 [6,8,1,7,3,4,5,2]=>[3,1,8,2,6,5,4,7]=>[1,2,2,1,2]=>11010110=>5 [6,7,1,5,4,3,2,8]=>[3,2,8,4,5,6,7,1]=>[1,2,4,1]=>11010001=>4 [5,8,4,1,3,2,7,6]=>[4,1,5,8,6,7,2,3]=>[1,3,2,2]=>11001010=>5 [5,8,4,1,3,2,6,7]=>[4,1,5,8,6,7,3,2]=>[1,3,2,1,1]=>11001011=>4 [4,3,6,5,1,7,2,8]=>[5,6,3,4,8,2,7,1]=>[2,3,2,1]=>10100101=>6 [5,6,4,3,1,7,8,2]=>[4,3,5,6,8,2,1,7]=>[1,4,1,2]=>11000110=>3 [5,7,4,1,6,3,8,2]=>[4,2,5,8,3,6,1,7]=>[1,3,2,2]=>11001010=>5 [5,8,4,1,3,6,2,7]=>[4,1,5,8,6,3,7,2]=>[1,3,1,2,1]=>11001101=>4 [6,8,1,5,3,7,4,2]=>[3,1,8,4,6,2,5,7]=>[1,2,2,3]=>11010100=>5 [7,8,1,3,4,2,5,6]=>[2,1,8,6,5,7,4,3]=>[1,2,1,2,1,1]=>11011011=>4 [6,8,1,4,3,5,2,7]=>[3,1,8,5,6,4,7,2]=>[1,2,2,2,1]=>11010101=>6 [4,7,6,3,1,8,5,2]=>[5,2,3,6,8,1,4,7]=>[1,4,3]=>11000100=>3 [5,3,4,7,6,1,8,2]=>[4,6,5,2,3,8,1,7]=>[2,1,3,2]=>10110010=>5 [4,2,5,3,6,7,1,8]=>[5,7,4,6,3,2,8,1]=>[2,2,1,2,1]=>10101101=>6 [8,2,6,5,3,7,1,4]=>[1,7,3,4,6,2,8,5]=>[2,3,2,1]=>10100101=>6 [6,2,3,5,1,7,4,8]=>[3,7,6,4,8,2,5,1]=>[2,1,2,2,1]=>10110101=>6 [8,4,6,2,7,1,5,3]=>[1,5,3,7,2,8,4,6]=>[2,2,2,2]=>10101010=>7 [1,4,6,3,5,2,8,7]=>[8,5,3,6,4,7,1,2]=>[1,1,2,2,2]=>11101010=>5 [5,4,3,8,6,2,1,7]=>[4,5,6,1,3,7,8,2]=>[3,4,1]=>10010001=>4 [9,8,7,6,5,1,3,2,4]=>[1,2,3,4,5,9,7,8,6]=>[6,2,1]=>100000101=>4 [9,8,7,6,1,4,3,2,5]=>[1,2,3,4,9,6,7,8,5]=>[5,3,1]=>100001001=>4 [8,7,4,1,5,3,2,6]=>[1,2,5,8,4,6,7,3]=>[4,3,1]=>10001001=>4 [9,8,1,6,5,4,3,2,7]=>[1,2,9,4,5,6,7,8,3]=>[3,5,1]=>100100001=>4 [9,1,7,6,5,4,3,2,8]=>[1,9,3,4,5,6,7,8,2]=>[2,6,1]=>101000001=>4 [5,7,2,1,4,8,3,6]=>[4,2,7,8,5,1,6,3]=>[1,3,1,2,1]=>11001101=>4 [2,7,4,8,3,1,6,5]=>[7,2,5,1,6,8,3,4]=>[1,2,3,2]=>11010010=>5 [4,5,2,1,6,3,8,7]=>[5,4,7,8,3,6,1,2]=>[1,3,2,2]=>11001010=>5 [4,5,2,1,6,7,3,8]=>[5,4,7,8,3,2,6,1]=>[1,3,1,2,1]=>11001101=>4 [5,3,8,6,2,4,7,1]=>[4,6,1,3,7,5,2,8]=>[2,3,1,2]=>10100110=>5 [2,5,1,6,4,3,8,7]=>[7,4,8,3,5,6,1,2]=>[1,2,3,2]=>11010010=>5 [3,6,2,8,5,7,1,4]=>[6,3,7,1,4,2,8,5]=>[1,2,2,2,1]=>11010101=>6 [4,6,5,8,1,7,3,2]=>[5,3,4,1,8,2,6,7]=>[1,2,2,3]=>11010100=>5 [2,1,3,6,4,8,7,5]=>[7,8,6,3,5,1,2,4]=>[2,1,2,3]=>10110100=>5 [4,8,1,2,7,5,6,3]=>[5,1,8,7,2,4,3,6]=>[1,2,1,2,2]=>11011010=>5 [5,7,2,4,6,3,8,1]=>[4,2,7,5,3,6,1,8]=>[1,2,1,2,2]=>11011010=>5 [8,6,7,3,1,5,4,2]=>[1,3,2,6,8,4,5,7]=>[2,3,3]=>10100100=>5 [6,4,5,2,7,8,3,1]=>[3,5,4,7,2,1,6,8]=>[2,2,1,3]=>10101100=>5 [7,4,1,5,2,8,3,6]=>[2,5,8,4,7,1,6,3]=>[3,2,2,1]=>10010101=>6 [1,6,4,3,8,7,5,2]=>[8,3,5,6,1,2,4,7]=>[1,3,4]=>11001000=>3 [8,7,5,2,1,6,3,4]=>[1,2,4,7,8,3,6,5]=>[5,2,1]=>10000101=>4 [4,2,3,8,1,5,7,6]=>[5,7,6,1,8,4,2,3]=>[2,1,2,1,2]=>10110110=>5 [8,1,3,6,5,7,2,4]=>[1,8,6,3,4,2,7,5]=>[2,1,2,2,1]=>10110101=>6 [7,3,2,6,5,8,4,1]=>[2,6,7,3,4,1,5,8]=>[3,2,3]=>10010100=>5 [4,5,1,6,8,7,2,3]=>[5,4,8,3,1,2,7,6]=>[1,2,1,3,1]=>11011001=>4 [3,4,7,2,5,8,6,1]=>[6,5,2,7,4,1,3,8]=>[1,1,2,1,3]=>11101100=>3 [6,8,3,5,2,4,7,1]=>[3,1,6,4,7,5,2,8]=>[1,2,2,1,2]=>11010110=>5 [7,2,5,3,1,4,6,8]=>[2,7,4,6,8,5,3,1]=>[2,3,1,1,1]=>10100111=>4 [4,3,1,6,5,7,2,8]=>[5,6,8,3,4,2,7,1]=>[3,2,2,1]=>10010101=>6 [3,8,7,6,1,5,2,4]=>[6,1,2,3,8,4,7,5]=>[1,4,2,1]=>11000101=>4 [3,1,5,8,2,4,7,6]=>[6,8,4,1,7,5,2,3]=>[2,1,2,1,2]=>10110110=>5 [1,3,8,6,4,5,7,2]=>[8,6,1,3,5,4,2,7]=>[1,1,3,1,2]=>11100110=>3 [2,5,1,8,6,4,7,3]=>[7,4,8,1,3,5,2,6]=>[1,2,3,2]=>11010010=>5 [3,1,2,8,5,4,6,7]=>[6,8,7,1,4,5,3,2]=>[2,1,3,1,1]=>10110011=>4 [2,5,8,7,3,1,4,6]=>[7,4,1,2,6,8,5,3]=>[1,1,4,1,1]=>11100011=>2 [7,2,5,3,8,1,6,4]=>[2,7,4,6,1,8,3,5]=>[2,2,2,2]=>10101010=>7 [5,2,1,6,4,8,7,3]=>[4,7,8,3,5,1,2,6]=>[3,2,3]=>10010100=>5 [8,4,2,5,1,7,6,3]=>[1,5,7,4,8,2,3,6]=>[3,2,3]=>10010100=>5 [2,7,4,8,5,1,6,3]=>[7,2,5,1,4,8,3,6]=>[1,2,3,2]=>11010010=>5 [6,4,1,7,5,3,8,2]=>[3,5,8,2,4,6,1,7]=>[3,3,2]=>10010010=>5 [5,1,3,7,4,6,8,2]=>[4,8,6,2,5,3,1,7]=>[2,1,2,1,2]=>10110110=>5 [7,1,2,6,4,8,5,3]=>[2,8,7,3,5,1,4,6]=>[2,1,2,3]=>10110100=>5 [3,8,7,2,6,1,4,5]=>[6,1,2,7,3,8,5,4]=>[1,3,2,1,1]=>11001011=>4 [8,1,5,7,2,3,4,6]=>[1,8,4,2,7,6,5,3]=>[2,1,2,1,1,1]=>10110111=>4 [3,8,4,2,1,7,5,6]=>[6,1,5,7,8,2,4,3]=>[1,4,2,1]=>11000101=>4 [8,4,5,1,6,7,2,3]=>[1,5,4,8,3,2,7,6]=>[2,2,1,2,1]=>10101101=>6 [8,4,7,3,1,5,2,6]=>[1,5,2,6,8,4,7,3]=>[2,3,2,1]=>10100101=>6 [4,1,6,3,8,2,5,7]=>[5,8,3,6,1,7,4,2]=>[2,2,2,1,1]=>10101011=>6 [5,2,8,7,4,1,3,6]=>[4,7,1,2,5,8,6,3]=>[2,4,1,1]=>10100011=>4 [2,5,1,8,3,6,4,7]=>[7,4,8,1,6,3,5,2]=>[1,2,2,2,1]=>11010101=>6 [5,3,8,1,6,2,7,4]=>[4,6,1,8,3,7,2,5]=>[2,2,2,2]=>10101010=>7 [5,2,8,7,1,3,6,4]=>[4,7,1,2,8,6,3,5]=>[2,3,1,2]=>10100110=>5 [4,1,5,8,2,3,7,6]=>[5,8,4,1,7,6,2,3]=>[2,1,2,1,2]=>10110110=>5 [4,8,1,2,6,3,5,7]=>[5,1,8,7,3,6,4,2]=>[1,2,1,2,1,1]=>11011011=>4 [8,2,5,4,3,6,1,7]=>[1,7,4,5,6,3,8,2]=>[2,3,2,1]=>10100101=>6 [2,5,1,4,6,8,3,7]=>[7,4,8,5,3,1,6,2]=>[1,2,1,1,2,1]=>11011101=>4 [7,6,1,8,3,4,5,2]=>[2,3,8,1,6,5,4,7]=>[3,2,1,2]=>10010110=>5 [5,8,4,7,3,2,1,6]=>[4,1,5,2,6,7,8,3]=>[1,2,4,1]=>11010001=>4 [8,5,4,2,7,3,1,6]=>[1,4,5,7,2,6,8,3]=>[4,3,1]=>10001001=>4 [5,6,8,4,2,7,1,3]=>[4,3,1,5,7,2,8,6]=>[1,1,3,2,1]=>11100101=>4 [4,3,8,6,1,2,5,7]=>[5,6,1,3,8,7,4,2]=>[2,3,1,1,1]=>10100111=>4 [4,8,6,5,7,1,3,2]=>[5,1,3,4,2,8,6,7]=>[1,3,2,2]=>11001010=>5 [5,8,1,3,4,7,2,6]=>[4,1,8,6,5,2,7,3]=>[1,2,1,1,2,1]=>11011101=>4 [4,7,1,8,6,3,2,5]=>[5,2,8,1,3,6,7,4]=>[1,2,4,1]=>11010001=>4 [8,2,3,7,6,1,4,5]=>[1,7,6,2,3,8,5,4]=>[2,1,3,1,1]=>10110011=>4 [7,2,3,5,6,1,8,4]=>[2,7,6,4,3,8,1,5]=>[2,1,1,2,2]=>10111010=>5 [8,3,4,2,7,6,1,5]=>[1,6,5,7,2,3,8,4]=>[2,2,3,1]=>10101001=>6 [8,7,5,6,4,1,3,2]=>[1,2,4,3,5,8,6,7]=>[3,3,2]=>10010010=>5 [8,7,4,2,3,6,5,1]=>[1,2,5,7,6,3,4,8]=>[4,1,3]=>10001100=>3 [8,4,2,3,7,6,5,1]=>[1,5,7,6,2,3,4,8]=>[3,1,4]=>10011000=>3 [7,2,4,5,3,1,6,8]=>[2,7,5,4,6,8,3,1]=>[2,1,3,1,1]=>10110011=>4 [6,3,4,1,7,2,5,8]=>[3,6,5,8,2,7,4,1]=>[2,2,2,1,1]=>10101011=>6 [7,4,2,6,3,5,8,1]=>[2,5,7,3,6,4,1,8]=>[3,2,1,2]=>10010110=>5 [7,2,4,3,6,8,1,5]=>[2,7,5,6,3,1,8,4]=>[2,2,1,2,1]=>10101101=>6 [4,6,2,8,5,3,1,7]=>[5,3,7,1,4,6,8,2]=>[1,2,4,1]=>11010001=>4 [6,4,5,8,2,7,1,3]=>[3,5,4,1,7,2,8,6]=>[2,1,2,2,1]=>10110101=>6 [6,5,3,2,1,7,4,8]=>[3,4,6,7,8,2,5,1]=>[5,2,1]=>10000101=>4 [1,6,7,3,4,8,2,5]=>[8,3,2,6,5,1,7,4]=>[1,1,2,1,2,1]=>11101101=>4 [4,1,3,8,5,7,2,6]=>[5,8,6,1,4,2,7,3]=>[2,1,2,2,1]=>10110101=>6 [3,7,4,6,2,1,8,5]=>[6,2,5,3,7,8,1,4]=>[1,2,3,2]=>11010010=>5 [3,7,8,1,2,5,4,6]=>[6,2,1,8,7,4,5,3]=>[1,1,2,1,2,1]=>11101101=>4 [5,1,3,6,4,7,8,2]=>[4,8,6,3,5,2,1,7]=>[2,1,2,1,2]=>10110110=>5 [5,4,1,7,8,6,2,3]=>[4,5,8,2,1,3,7,6]=>[3,1,3,1]=>10011001=>4 [5,3,4,7,8,1,6,2]=>[4,6,5,2,1,8,3,7]=>[2,1,1,2,2]=>10111010=>5 [2,4,1,7,3,6,5,8]=>[7,5,8,2,6,3,4,1]=>[1,2,2,2,1]=>11010101=>6 [7,6,1,5,3,8,2,4]=>[2,3,8,4,6,1,7,5]=>[3,2,2,1]=>10010101=>6 [5,1,4,8,2,3,7,6]=>[4,8,5,1,7,6,2,3]=>[2,1,2,1,2]=>10110110=>5 [2,7,4,1,3,5,6,8]=>[7,2,5,8,6,4,3,1]=>[1,3,1,1,1,1]=>11001111=>2 [6,7,8,4,5,1,3,2]=>[3,2,1,5,4,8,6,7]=>[1,1,2,2,2]=>11101010=>5 [3,8,5,6,7,1,4,2]=>[6,1,4,3,2,8,5,7]=>[1,2,1,2,2]=>11011010=>5 [7,5,6,1,4,2,3,8]=>[2,4,3,8,5,7,6,1]=>[2,2,2,1,1]=>10101011=>6 [7,1,4,2,3,8,5,6]=>[2,8,5,7,6,1,4,3]=>[2,2,1,2,1]=>10101101=>6 [6,1,2,9,3,4,5,7,8]=>[4,9,8,1,7,6,5,3,2]=>[2,1,2,1,1,1,1]=>101101111=>4 [9,8,6,7,4,1,2,3,5]=>[1,2,4,3,6,9,8,7,5]=>[3,3,1,1,1]=>100100111=>4 [7,2,1,6,5,4,8,3]=>[2,7,8,3,4,5,1,6]=>[3,3,2]=>10010010=>5 [7,3,1,5,6,4,8,2]=>[2,6,8,4,3,5,1,7]=>[3,1,2,2]=>10011010=>5 [2,5,7,6,3,8,1,4]=>[7,4,2,3,6,1,8,5]=>[1,1,3,2,1]=>11100101=>4 [1,5,7,6,3,4,2,8]=>[8,4,2,3,6,5,7,1]=>[1,1,3,2,1]=>11100101=>4 [3,5,1,8,6,2,7,4]=>[6,4,8,1,3,7,2,5]=>[1,2,3,2]=>11010010=>5 [4,8,5,6,3,7,2,1]=>[5,1,4,3,6,2,7,8]=>[1,2,2,3]=>11010100=>5 [3,8,5,7,2,1,4,6]=>[6,1,4,2,7,8,5,3]=>[1,2,3,1,1]=>11010011=>4 [4,5,7,2,6,8,3,1]=>[5,4,2,7,3,1,6,8]=>[1,1,2,1,3]=>11101100=>3 [4,2,5,3,6,8,1,7]=>[5,7,4,6,3,1,8,2]=>[2,2,1,2,1]=>10101101=>6 [8,1,2,7,3,5,4,6]=>[1,8,7,2,6,4,5,3]=>[2,1,2,2,1]=>10110101=>6 [5,7,1,2,6,3,4,8]=>[4,2,8,7,3,6,5,1]=>[1,2,1,2,1,1]=>11011011=>4 [1,2,7,5,6,3,4,8]=>[8,7,2,4,3,6,5,1]=>[1,1,2,2,1,1]=>11101011=>4 [5,1,4,7,2,3,6,8]=>[4,8,5,2,7,6,3,1]=>[2,1,2,1,1,1]=>10110111=>4 [4,8,1,2,3,6,5,7]=>[5,1,8,7,6,3,4,2]=>[1,2,1,1,2,1]=>11011101=>4 [1,2,4,5,6,3,7,8,9]=>[9,8,6,5,4,7,3,2,1]=>[1,1,1,1,2,1,1,1]=>111110111=>2 [5,7,4,3,2,1,8,6,9]=>[5,3,6,7,8,9,2,4,1]=>[1,5,2,1]=>110000101=>4 [2,4,6,8,1,9,7,5,3]=>[8,6,4,2,9,1,3,5,7]=>[1,1,1,2,4]=>111101000=>3 [6,8,5,4,3,2,1,9,7]=>[4,2,5,6,7,8,9,1,3]=>[1,6,2]=>110000010=>3 [6,2,3,8,7,1,4,5]=>[3,7,6,1,2,8,5,4]=>[2,1,3,1,1]=>10110011=>4 [8,2,3,6,4,7,5,1]=>[1,7,6,3,5,2,4,8]=>[2,1,2,3]=>10110100=>5 [7,2,3,6,4,8,1,5]=>[2,7,6,3,5,1,8,4]=>[2,1,2,2,1]=>10110101=>6 [4,6,5,3,7,2,8,1,9]=>[6,4,5,7,3,8,2,9,1]=>[1,3,2,2,1]=>110010101=>6 [4,5,1,3,2,6,8,7]=>[5,4,8,6,7,3,1,2]=>[1,2,2,1,2]=>11010110=>5 [5,3,1,6,2,7,8,4]=>[4,6,8,3,7,2,1,5]=>[3,2,1,2]=>10010110=>5 [6,7,2,4,1,8,3,5]=>[3,2,7,5,8,1,6,4]=>[1,2,2,2,1]=>11010101=>6 [5,1,6,3,2,7,8,4]=>[4,8,3,6,7,2,1,5]=>[2,3,1,2]=>10100110=>5 [5,4,1,6,2,7,8,3]=>[4,5,8,3,7,2,1,6]=>[3,2,1,2]=>10010110=>5 [7,1,4,2,5,8,3,6]=>[2,8,5,7,4,1,6,3]=>[2,2,1,2,1]=>10101101=>6 [2,4,5,7,6,1,3,8]=>[7,5,4,2,3,8,6,1]=>[1,1,1,3,1,1]=>11110011=>2 [6,3,5,7,4,1,8,2]=>[3,6,4,2,5,8,1,7]=>[2,1,3,2]=>10110010=>5 [7,5,2,3,8,1,4,6]=>[2,4,7,6,1,8,5,3]=>[3,1,2,1,1]=>10011011=>4 [5,1,3,6,7,8,4,2]=>[4,8,6,3,2,1,5,7]=>[2,1,1,1,3]=>10111100=>3 [7,1,3,5,4,2,8,6]=>[2,8,6,4,5,7,1,3]=>[2,1,3,2]=>10110010=>5 [7,4,5,2,1,8,3,6]=>[2,5,4,7,8,1,6,3]=>[2,3,2,1]=>10100101=>6 [6,7,2,3,8,1,5,4]=>[3,2,7,6,1,8,4,5]=>[1,2,1,2,2]=>11011010=>5 [7,6,8,2,4,5,3,1]=>[2,3,1,7,5,4,6,8]=>[2,2,1,3]=>10101100=>5 [4,2,8,6,5,1,3,7]=>[5,7,1,3,4,8,6,2]=>[2,4,1,1]=>10100011=>4 [3,8,5,4,7,1,2,6]=>[6,1,4,5,2,8,7,3]=>[1,3,2,1,1]=>11001011=>4 [1,4,8,3,6,2,7,5]=>[8,5,1,6,3,7,2,4]=>[1,1,2,2,2]=>11101010=>5 [6,3,2,4,8,7,1,5]=>[3,6,7,5,1,2,8,4]=>[3,1,3,1]=>10011001=>4 [8,3,2,7,4,1,5,6]=>[1,6,7,2,5,8,4,3]=>[3,3,1,1]=>10010011=>4 [7,3,2,6,5,8,1,4]=>[2,6,7,3,4,1,8,5]=>[3,2,2,1]=>10010101=>6 [2,7,1,5,8,6,4,3]=>[7,2,8,4,1,3,5,6]=>[1,2,1,4]=>11011000=>3 [7,2,4,1,6,8,5,3]=>[2,7,5,8,3,1,4,6]=>[2,2,1,3]=>10101100=>5 [6,4,7,2,3,8,5,1]=>[3,5,2,7,6,1,4,8]=>[2,2,1,3]=>10101100=>5 [6,1,8,5,7,4,2,3]=>[3,8,1,4,2,5,7,6]=>[2,2,3,1]=>10101001=>6 [7,1,4,3,6,5,8,2]=>[2,8,5,6,3,4,1,7]=>[2,2,2,2]=>10101010=>7 [7,6,1,5,4,2,8,3]=>[2,3,8,4,5,7,1,6]=>[3,3,2]=>10010010=>5 [4,6,7,5,3,1,8,2]=>[5,3,2,4,6,8,1,7]=>[1,1,4,2]=>11100010=>3 [5,4,6,2,8,7,3,1]=>[4,5,3,7,1,2,6,8]=>[2,2,4]=>10101000=>5 [4,5,8,6,7,2,3,1]=>[5,4,1,3,2,7,6,8]=>[1,1,2,2,2]=>11101010=>5 [4,5,7,6,1,2,8,3]=>[5,4,2,3,8,7,1,6]=>[1,1,3,1,2]=>11100110=>3 [4,6,5,7,2,1,8,3]=>[5,3,4,2,7,8,1,6]=>[1,2,3,2]=>11010010=>5 [1,2,4,8,5,6,3,7]=>[8,7,5,1,4,3,6,2]=>[1,1,1,2,2,1]=>11110101=>4 [1,8,3,4,2,6,5,7]=>[8,1,6,5,7,3,4,2]=>[1,2,2,2,1]=>11010101=>6 [5,2,8,6,3,4,1,7]=>[4,7,1,3,6,5,8,2]=>[2,3,2,1]=>10100101=>6 [5,2,4,6,7,1,8,3]=>[4,7,5,3,2,8,1,6]=>[2,1,1,2,2]=>10111010=>5 [7,4,8,6,3,5,1,2]=>[2,5,1,3,6,4,8,7]=>[2,3,2,1]=>10100101=>6 [8,3,4,6,1,5,7,2]=>[1,6,5,3,8,4,2,7]=>[2,1,2,1,2]=>10110110=>5 [8,4,5,6,1,7,2,3]=>[1,5,4,3,8,2,7,6]=>[2,1,2,2,1]=>10110101=>6 [7,1,5,4,2,3,8,6]=>[2,8,4,5,7,6,1,3]=>[2,3,1,2]=>10100110=>5 [7,2,4,3,6,1,8,5]=>[2,7,5,6,3,8,1,4]=>[2,2,2,2]=>10101010=>7 [6,2,4,7,3,1,8,5]=>[3,7,5,2,6,8,1,4]=>[2,1,3,2]=>10110010=>5 [6,1,8,4,2,5,7,3]=>[3,8,1,5,7,4,2,6]=>[2,3,1,2]=>10100110=>5 [6,2,8,1,4,5,7,3]=>[3,7,1,8,5,4,2,6]=>[2,2,1,1,2]=>10101110=>5 [6,4,8,1,5,2,7,3]=>[3,5,1,8,4,7,2,6]=>[2,2,2,2]=>10101010=>7 [2,3,4,7,8,6,1,5]=>[7,6,5,2,1,3,8,4]=>[1,1,1,1,3,1]=>11111001=>2 [3,4,8,7,5,1,2,6]=>[6,5,1,2,4,8,7,3]=>[1,1,4,1,1]=>11100011=>2 [5,8,6,4,2,7,3,1]=>[4,1,3,5,7,2,6,8]=>[1,4,3]=>11000100=>3 [6,3,7,1,4,2,8,5]=>[3,6,2,8,5,7,1,4]=>[2,2,2,2]=>10101010=>7 [8,5,3,1,6,7,2,4]=>[1,4,6,8,3,2,7,5]=>[4,1,2,1]=>10001101=>4 [3,7,5,1,8,4,2,6]=>[6,2,4,8,1,5,7,3]=>[1,3,3,1]=>11001001=>4 [8,2,4,6,7,3,1,5]=>[1,7,5,3,2,6,8,4]=>[2,1,1,3,1]=>10111001=>4 [4,8,1,6,7,2,3,5]=>[5,1,8,3,2,7,6,4]=>[1,2,1,2,1,1]=>11011011=>4 [4,7,2,1,5,8,3,6]=>[5,2,7,8,4,1,6,3]=>[1,3,1,2,1]=>11001101=>4 [5,7,2,1,3,4,8,6]=>[4,2,7,8,6,5,1,3]=>[1,3,1,1,2]=>11001110=>3 [5,6,2,3,1,4,8,7]=>[4,3,7,6,8,5,1,2]=>[1,2,2,1,2]=>11010110=>5 [4,7,3,1,5,8,2,6]=>[5,2,6,8,4,1,7,3]=>[1,3,1,2,1]=>11001101=>4 [5,3,4,6,1,2,8,7]=>[4,6,5,3,8,7,1,2]=>[2,1,2,1,2]=>10110110=>5 [8,5,7,6,2,3,4,1]=>[1,4,2,3,7,6,5,8]=>[2,3,1,2]=>10100110=>5 [7,8,5,2,6,1,4,3]=>[2,1,4,7,3,8,5,6]=>[1,3,2,2]=>11001010=>5 [3,5,1,4,8,7,6,2]=>[6,4,8,5,1,2,3,7]=>[1,2,1,4]=>11011000=>3 [6,5,3,7,4,8,1,2]=>[3,4,6,2,5,1,8,7]=>[3,2,2,1]=>10010101=>6 [8,7,5,1,6,2,4,3]=>[1,2,4,8,3,7,5,6]=>[4,2,2]=>10001010=>5 [1,8,4,6,5,2,7,3]=>[8,1,5,3,4,7,2,6]=>[1,2,3,2]=>11010010=>5 [3,5,6,7,8,9,2,4,1]=>[7,5,4,3,2,1,8,6,9]=>[1,1,1,1,1,2,2]=>111111010=>3 [3,4,6,7,8,2,5,1]=>[6,5,3,2,1,7,4,8]=>[1,1,1,1,2,2]=>11111010=>3 [2,4,6,7,8,9,1,3,5]=>[8,6,4,3,2,1,9,7,5]=>[1,1,1,1,1,2,1,1]=>111111011=>2 [2,5,6,7,3,8,1,4]=>[7,4,3,2,6,1,8,5]=>[1,1,1,2,2,1]=>11110101=>4 [1,7,5,4,6,8,3,2]=>[8,2,4,5,3,1,6,7]=>[1,3,1,3]=>11001100=>3 [5,2,3,7,8,6,1,4]=>[4,7,6,2,1,3,8,5]=>[2,1,1,3,1]=>10111001=>4 [7,2,6,4,8,5,3,1]=>[2,7,3,5,1,4,6,8]=>[2,2,4]=>10101000=>5 [2,8,3,4,7,1,6,5]=>[7,1,6,5,2,8,3,4]=>[1,2,1,2,2]=>11011010=>5 [1,2,8,5,7,6,3,4]=>[8,7,1,4,2,3,6,5]=>[1,1,2,3,1]=>11101001=>4 [5,7,1,4,3,6,8,2]=>[4,2,8,5,6,3,1,7]=>[1,2,2,1,2]=>11010110=>5 [5,8,4,6,2,1,7,3]=>[4,1,5,3,7,8,2,6]=>[1,2,3,2]=>11010010=>5 [3,8,2,6,7,4,1,5]=>[6,1,7,3,2,5,8,4]=>[1,2,1,3,1]=>11011001=>4 [1,6,8,3,4,7,2,5]=>[8,3,1,6,5,2,7,4]=>[1,1,2,1,2,1]=>11101101=>4 [2,4,7,5,8,6,3,1]=>[7,5,2,4,1,3,6,8]=>[1,1,2,4]=>11101000=>3 [5,7,4,6,2,3,8,1]=>[4,2,5,3,7,6,1,8]=>[1,2,2,1,2]=>11010110=>5 [2,6,8,3,4,1,7,5]=>[7,3,1,6,5,8,2,4]=>[1,1,2,2,2]=>11101010=>5 [1,5,8,4,2,3,7,6]=>[8,4,1,5,7,6,2,3]=>[1,1,3,1,2]=>11100110=>3 [4,1,8,2,7,5,3,6]=>[5,8,1,7,2,4,6,3]=>[2,2,3,1]=>10101001=>6 [4,1,7,2,8,5,3,6]=>[5,8,2,7,1,4,6,3]=>[2,2,3,1]=>10101001=>6 [2,5,6,3,7,4,8,1]=>[7,4,3,6,2,5,1,8]=>[1,1,2,2,2]=>11101010=>5 [2,6,5,3,8,4,7,1]=>[7,3,4,6,1,5,2,8]=>[1,3,2,2]=>11001010=>5 [2,6,5,3,7,4,8,1]=>[7,3,4,6,2,5,1,8]=>[1,3,2,2]=>11001010=>5 [5,7,3,2,8,4,1,6]=>[4,2,6,7,1,5,8,3]=>[1,3,3,1]=>11001001=>4 [2,8,6,1,7,5,3,4]=>[7,1,3,8,2,4,6,5]=>[1,3,3,1]=>11001001=>4 [8,1,5,2,7,4,3,6]=>[1,8,4,7,2,5,6,3]=>[2,2,3,1]=>10101001=>6 [7,1,4,2,8,5,3,6]=>[2,8,5,7,1,4,6,3]=>[2,2,3,1]=>10101001=>6 [2,6,8,1,7,5,3,4]=>[7,3,1,8,2,4,6,5]=>[1,1,2,3,1]=>11101001=>4 [1,4,6,5,3,8,2,7]=>[8,5,3,4,6,1,7,2]=>[1,1,3,2,1]=>11100101=>4 [2,4,5,8,7,1,3,6]=>[7,5,4,1,2,8,6,3]=>[1,1,1,3,1,1]=>11110011=>2 [3,1,6,8,7,5,4,2]=>[6,8,3,1,2,4,5,7]=>[2,1,5]=>10110000=>3 [3,1,8,7,5,6,4,2]=>[6,8,1,2,4,3,5,7]=>[2,3,3]=>10100100=>5 [5,1,8,7,6,3,4,2]=>[4,8,1,2,3,6,5,7]=>[2,4,2]=>10100010=>5 [8,2,7,5,3,6,4,1]=>[1,7,2,4,6,3,5,8]=>[2,3,3]=>10100100=>5 [8,7,2,3,1,5,6,4]=>[1,2,7,6,8,4,3,5]=>[3,2,1,2]=>10010110=>5 [2,8,5,7,6,1,3,4]=>[7,1,4,2,3,8,6,5]=>[1,2,3,1,1]=>11010011=>4 [1,8,7,2,6,4,5,3]=>[8,1,2,7,3,5,4,6]=>[1,3,2,2]=>11001010=>5 [8,7,2,1,6,4,5,3]=>[1,2,7,8,3,5,4,6]=>[4,2,2]=>10001010=>5 [1,8,4,7,6,2,5,3]=>[8,1,5,2,3,7,4,6]=>[1,2,3,2]=>11010010=>5 [8,7,1,6,4,3,5,2]=>[1,2,8,3,5,6,4,7]=>[3,3,2]=>10010010=>5 [8,4,1,7,3,6,5,2]=>[1,5,8,2,6,3,4,7]=>[3,2,3]=>10010100=>5 [1,3,5,8,4,2,6,7]=>[8,6,4,1,5,7,3,2]=>[1,1,1,3,1,1]=>11110011=>2 [4,3,8,1,7,5,2,6]=>[5,6,1,8,2,4,7,3]=>[2,2,3,1]=>10101001=>6 [3,7,8,2,1,5,6,4]=>[6,2,1,7,8,4,3,5]=>[1,1,3,1,2]=>11100110=>3 [8,2,5,7,1,6,4,3]=>[1,7,4,2,8,3,5,6]=>[2,1,2,3]=>10110100=>5 [8,3,6,2,1,5,4,7]=>[1,6,3,7,8,4,5,2]=>[2,3,2,1]=>10100101=>6 [8,5,2,3,4,7,6,1]=>[1,4,7,6,5,2,3,8]=>[3,1,1,3]=>10011100=>3 [6,3,8,1,4,5,7,2]=>[3,6,1,8,5,4,2,7]=>[2,2,1,1,2]=>10101110=>5 [6,4,1,7,3,5,2,8]=>[3,5,8,2,6,4,7,1]=>[3,2,2,1]=>10010101=>6 [6,4,1,7,3,5,8,2]=>[3,5,8,2,6,4,1,7]=>[3,2,1,2]=>10010110=>5 [4,3,8,5,2,7,6,1]=>[5,6,1,4,7,2,3,8]=>[2,3,3]=>10100100=>5 [2,4,6,7,3,5,1,8]=>[7,5,3,2,6,4,8,1]=>[1,1,1,2,2,1]=>11110101=>4 [6,5,2,3,4,8,7,1]=>[3,4,7,6,5,1,2,8]=>[3,1,1,3]=>10011100=>3 [1,7,3,6,8,2,5,4]=>[8,2,6,3,1,7,4,5]=>[1,2,1,2,2]=>11011010=>5 [4,3,7,6,2,5,8,1]=>[5,6,2,3,7,4,1,8]=>[2,3,1,2]=>10100110=>5 [3,4,5,8,7,2,6,1]=>[6,5,4,1,2,7,3,8]=>[1,1,1,3,2]=>11110010=>3 [6,4,2,5,7,8,1,3]=>[3,5,7,4,2,1,8,6]=>[3,1,1,2,1]=>10011101=>4 [3,8,4,6,2,7,5,1]=>[6,1,5,3,7,2,4,8]=>[1,2,2,3]=>11010100=>5 [3,8,5,2,6,7,4,1]=>[6,1,4,7,3,2,5,8]=>[1,3,1,3]=>11001100=>3 [5,4,1,6,7,3,8,2]=>[4,5,8,3,2,6,1,7]=>[3,1,2,2]=>10011010=>5 [2,6,5,8,3,4,7,1]=>[7,3,4,1,6,5,2,8]=>[1,2,2,1,2]=>11010110=>5 [4,3,8,5,2,6,1,7]=>[5,6,1,4,7,3,8,2]=>[2,3,2,1]=>10100101=>6 [3,6,5,4,1,8,2,7]=>[6,3,4,5,8,1,7,2]=>[1,4,2,1]=>11000101=>4 [3,6,4,7,5,2,1,8]=>[6,3,5,2,4,7,8,1]=>[1,2,4,1]=>11010001=>4 [8,5,4,7,3,1,6,2]=>[1,4,5,2,6,8,3,7]=>[3,3,2]=>10010010=>5 [2,8,4,5,3,1,7,6]=>[7,1,5,4,6,8,2,3]=>[1,2,3,2]=>11010010=>5 [7,2,5,3,4,1,8,6]=>[2,7,4,6,5,8,1,3]=>[2,2,2,2]=>10101010=>7 [2,6,5,4,1,8,7,3]=>[7,3,4,5,8,1,2,6]=>[1,4,3]=>11000100=>3 [2,6,5,4,1,7,3,8]=>[7,3,4,5,8,2,6,1]=>[1,4,2,1]=>11000101=>4 [5,6,4,1,2,8,7,3]=>[4,3,5,8,7,1,2,6]=>[1,3,1,3]=>11001100=>3 [7,6,4,1,5,8,3,2]=>[2,3,5,8,4,1,6,7]=>[4,1,3]=>10001100=>3 [5,7,4,1,2,6,8,3]=>[4,2,5,8,7,3,1,6]=>[1,3,1,1,2]=>11001110=>3 [6,7,4,1,5,2,3,8]=>[3,2,5,8,4,7,6,1]=>[1,3,2,1,1]=>11001011=>4 [2,8,6,7,5,3,1,4]=>[7,1,3,2,4,6,8,5]=>[1,2,4,1]=>11010001=>4 [7,4,5,2,6,3,1,8]=>[2,5,4,7,3,6,8,1]=>[2,2,3,1]=>10101001=>6 [8,6,3,4,5,1,7,2]=>[1,3,6,5,4,8,2,7]=>[3,1,2,2]=>10011010=>5 [8,6,3,5,4,1,7,2]=>[1,3,6,4,5,8,2,7]=>[3,3,2]=>10010010=>5 [8,7,4,5,1,3,6,2]=>[1,2,5,4,8,6,3,7]=>[3,2,1,2]=>10010110=>5 [8,6,2,5,3,1,4,7]=>[1,3,7,4,6,8,5,2]=>[3,3,1,1]=>10010011=>4 [8,4,7,3,1,2,5,6]=>[1,5,2,6,8,7,4,3]=>[2,3,1,1,1]=>10100111=>4 [8,7,3,5,1,6,4,2]=>[1,2,6,4,8,3,5,7]=>[3,2,3]=>10010100=>5 [4,8,3,2,6,1,7,5]=>[5,1,6,7,3,8,2,4]=>[1,3,2,2]=>11001010=>5 [4,3,7,6,1,5,2,8]=>[5,6,2,3,8,4,7,1]=>[2,3,2,1]=>10100101=>6 [7,5,4,3,6,1,8,2]=>[2,4,5,6,3,8,1,7]=>[4,2,2]=>10001010=>5 [4,6,8,5,3,1,2,7]=>[5,3,1,4,6,8,7,2]=>[1,1,4,1,1]=>11100011=>2 [5,6,8,4,3,7,2,1]=>[4,3,1,5,6,2,7,8]=>[1,1,3,3]=>11100100=>3 [7,5,8,4,2,1,6,3]=>[2,4,1,5,7,8,3,6]=>[2,4,2]=>10100010=>5 [1,4,8,7,6,2,5,3]=>[8,5,1,2,3,7,4,6]=>[1,1,4,2]=>11100010=>3 [8,5,3,4,1,7,2,6]=>[1,4,6,5,8,2,7,3]=>[3,2,2,1]=>10010101=>6 [2,8,5,4,3,6,1,7]=>[7,1,4,5,6,3,8,2]=>[1,4,2,1]=>11000101=>4 [7,4,6,5,3,2,8,1]=>[2,5,3,4,6,7,1,8]=>[2,4,2]=>10100010=>5 [5,6,7,2,3,8,4,1]=>[4,3,2,7,6,1,5,8]=>[1,1,2,1,3]=>11101100=>3 [8,4,2,6,5,7,3,1]=>[1,5,7,3,4,2,6,8]=>[3,2,3]=>10010100=>5 [3,2,1,7,4,6,8,5]=>[6,7,8,2,5,3,1,4]=>[3,2,1,2]=>10010110=>5 [6,2,5,7,1,4,3,8]=>[3,7,4,2,8,5,6,1]=>[2,1,2,2,1]=>10110101=>6 [4,8,5,3,1,2,6,7]=>[5,1,4,6,8,7,3,2]=>[1,4,1,1,1]=>11000111=>2 [8,5,2,4,6,1,3,7]=>[1,4,7,5,3,8,6,2]=>[3,1,2,1,1]=>10011011=>4 [1,5,3,4,7,2,6,8]=>[8,4,6,5,2,7,3,1]=>[1,2,1,2,1,1]=>11011011=>4 [8,4,6,1,5,7,3,2]=>[1,5,3,8,4,2,6,7]=>[2,2,1,3]=>10101100=>5 [6,7,3,1,2,4,8,5]=>[3,2,6,8,7,5,1,4]=>[1,3,1,1,2]=>11001110=>3 [3,1,8,7,6,2,5,4]=>[6,8,1,2,3,7,4,5]=>[2,4,2]=>10100010=>5 [1,3,8,6,7,2,5,4]=>[8,6,1,3,2,7,4,5]=>[1,1,2,2,2]=>11101010=>5 [5,2,3,6,1,8,4,7]=>[4,7,6,3,8,1,5,2]=>[2,1,2,2,1]=>10110101=>6 [3,6,2,5,7,8,4,1]=>[6,3,7,4,2,1,5,8]=>[1,2,1,1,3]=>11011100=>3 [2,7,4,6,8,3,5,1]=>[7,2,5,3,1,6,4,8]=>[1,2,1,2,2]=>11011010=>5 [3,7,6,8,1,5,4,2]=>[6,2,3,1,8,4,5,7]=>[1,2,2,3]=>11010100=>5 [1,5,7,6,8,4,2,3]=>[8,4,2,3,1,5,7,6]=>[1,1,2,3,1]=>11101001=>4 [2,7,4,6,8,5,3,1]=>[7,2,5,3,1,4,6,8]=>[1,2,1,4]=>11011000=>3 [3,7,6,8,5,1,4,2]=>[6,2,3,1,4,8,5,7]=>[1,2,3,2]=>11010010=>5 [7,1,3,8,6,2,4,5]=>[2,8,6,1,3,7,5,4]=>[2,1,3,1,1]=>10110011=>4 [2,7,1,8,6,5,3,4]=>[7,2,8,1,3,4,6,5]=>[1,2,4,1]=>11010001=>4 [6,2,3,4,1,5,8,7]=>[3,7,6,5,8,4,1,2]=>[2,1,2,1,2]=>10110110=>5 [8,1,6,5,4,3,7,2]=>[1,8,3,4,5,6,2,7]=>[2,4,2]=>10100010=>5 [8,1,5,2,6,4,7,3]=>[1,8,4,7,3,5,2,6]=>[2,2,2,2]=>10101010=>7 [4,1,7,2,5,3,6,8]=>[5,8,2,7,4,6,3,1]=>[2,2,2,1,1]=>10101011=>6 [5,3,4,1,8,6,2,7]=>[4,6,5,8,1,3,7,2]=>[2,2,3,1]=>10101001=>6 [1,7,3,6,2,4,8,5]=>[8,2,6,3,7,5,1,4]=>[1,2,2,1,2]=>11010110=>5 [4,6,7,5,1,2,3,8]=>[5,3,2,4,8,7,6,1]=>[1,1,3,1,1,1]=>11100111=>2 [5,3,4,7,6,2,1,8]=>[4,6,5,2,3,7,8,1]=>[2,1,4,1]=>10110001=>4 [5,3,4,6,1,7,2,8]=>[4,6,5,3,8,2,7,1]=>[2,1,2,2,1]=>10110101=>6 [6,3,4,8,2,1,7,5]=>[3,6,5,1,7,8,2,4]=>[2,1,3,2]=>10110010=>5 [7,2,5,6,8,1,4,3]=>[2,7,4,3,1,8,5,6]=>[2,1,1,2,2]=>10111010=>5 [3,1,5,8,4,7,2,6]=>[6,8,4,1,5,2,7,3]=>[2,1,2,2,1]=>10110101=>6 [8,2,1,4,5,7,3,6]=>[1,7,8,5,4,2,6,3]=>[3,1,1,2,1]=>10011101=>4 [8,7,5,2,6,4,1,3]=>[1,2,4,7,3,5,8,6]=>[4,3,1]=>10001001=>4 [8,2,1,4,3,6,7,5]=>[1,7,8,5,6,3,2,4]=>[3,2,1,2]=>10010110=>5 [8,2,1,4,7,6,5,3]=>[1,7,8,5,2,3,4,6]=>[3,1,4]=>10011000=>3 [4,1,8,5,7,2,6,3]=>[5,8,1,4,2,7,3,6]=>[2,2,2,2]=>10101010=>7 [4,1,8,2,7,5,6,3]=>[5,8,1,7,2,4,3,6]=>[2,2,2,2]=>10101010=>7 [7,6,8,2,4,3,5,1]=>[2,3,1,7,5,6,4,8]=>[2,2,2,2]=>10101010=>7 [5,1,7,2,4,8,6,3]=>[4,8,2,7,5,1,3,6]=>[2,2,1,3]=>10101100=>5 [6,5,8,4,1,3,2,7]=>[3,4,1,5,8,6,7,2]=>[2,3,2,1]=>10100101=>6 [4,8,2,3,6,5,1,7]=>[5,1,7,6,3,4,8,2]=>[1,2,1,3,1]=>11011001=>4 [4,2,5,8,1,6,3,7]=>[5,7,4,1,8,3,6,2]=>[2,1,2,2,1]=>10110101=>6 [8,7,2,6,4,5,1,3]=>[1,2,7,3,5,4,8,6]=>[3,2,2,1]=>10010101=>6 [5,4,8,2,3,1,6,7]=>[4,5,1,7,6,8,3,2]=>[2,2,2,1,1]=>10101011=>6 [2,6,4,8,3,5,1,7]=>[7,3,5,1,6,4,8,2]=>[1,2,2,2,1]=>11010101=>6 [1,4,8,5,3,2,7,6]=>[8,5,1,4,6,7,2,3]=>[1,1,4,2]=>11100010=>3 [3,5,8,4,6,7,1,2]=>[6,4,1,5,3,2,8,7]=>[1,1,2,1,2,1]=>11101101=>4 [1,2,4,8,5,7,3,6]=>[8,7,5,1,4,2,6,3]=>[1,1,1,2,2,1]=>11110101=>4 [5,6,3,1,8,2,4,7]=>[4,3,6,8,1,7,5,2]=>[1,3,2,1,1]=>11001011=>4 [7,3,6,5,1,8,4,2]=>[2,6,3,4,8,1,5,7]=>[2,3,3]=>10100100=>5 [7,6,3,5,2,1,8,4]=>[2,3,6,4,7,8,1,5]=>[3,3,2]=>10010010=>5 [3,6,5,2,7,1,8,4]=>[6,3,4,7,2,8,1,5]=>[1,3,2,2]=>11001010=>5 [3,5,7,4,1,8,6,2]=>[6,4,2,5,8,1,3,7]=>[1,1,3,3]=>11100100=>3 [6,5,7,2,1,3,8,4]=>[3,4,2,7,8,6,1,5]=>[2,3,1,2]=>10100110=>5 [4,1,2,6,7,5,8,3]=>[5,8,7,3,2,4,1,6]=>[2,1,1,2,2]=>10111010=>5 [4,3,2,6,8,7,1,5]=>[5,6,7,3,1,2,8,4]=>[3,1,3,1]=>10011001=>4 [7,5,6,4,1,8,3,2]=>[2,4,3,5,8,1,6,7]=>[2,3,3]=>10100100=>5 [7,1,3,5,6,8,4,2]=>[2,8,6,4,3,1,5,7]=>[2,1,1,1,3]=>10111100=>3 [7,1,3,5,6,8,2,4]=>[2,8,6,4,3,1,7,5]=>[2,1,1,1,2,1]=>10111101=>4 [2,5,4,3,8,1,7,6]=>[7,4,5,6,1,8,2,3]=>[1,3,2,2]=>11001010=>5 [3,1,2,8,4,6,5,7]=>[6,8,7,1,5,3,4,2]=>[2,1,2,2,1]=>10110101=>6 [2,5,4,3,8,6,1,7]=>[7,4,5,6,1,3,8,2]=>[1,3,3,1]=>11001001=>4 [6,2,8,1,7,4,3,5]=>[3,7,1,8,2,5,6,4]=>[2,2,3,1]=>10101001=>6 [5,4,8,3,1,2,7,6]=>[4,5,1,6,8,7,2,3]=>[2,3,1,2]=>10100110=>5 [7,6,2,8,1,3,5,4]=>[2,3,7,1,8,6,4,5]=>[3,2,1,2]=>10010110=>5 [7,1,4,6,8,5,3,2]=>[2,8,5,3,1,4,6,7]=>[2,1,1,4]=>10111000=>3 [7,2,5,1,6,4,8,3]=>[2,7,4,8,3,5,1,6]=>[2,2,2,2]=>10101010=>7 [2,7,1,5,6,4,8,3]=>[7,2,8,4,3,5,1,6]=>[1,2,1,2,2]=>11011010=>5 [1,5,7,8,4,6,3,2]=>[8,4,2,1,5,3,6,7]=>[1,1,1,2,3]=>11110100=>3 [1,4,8,5,7,6,3,2]=>[8,5,1,4,2,3,6,7]=>[1,1,2,4]=>11101000=>3 [2,8,1,5,6,4,7,3]=>[7,1,8,4,3,5,2,6]=>[1,2,1,2,2]=>11011010=>5 [3,7,2,8,1,5,6,4]=>[6,2,7,1,8,4,3,5]=>[1,2,2,1,2]=>11010110=>5 [7,3,2,5,1,6,8,4]=>[2,6,7,4,8,3,1,5]=>[3,2,1,2]=>10010110=>5 [8,7,2,1,3,6,5,4]=>[1,2,7,8,6,3,4,5]=>[4,1,3]=>10001100=>3 [7,3,2,8,1,4,6,5]=>[2,6,7,1,8,5,3,4]=>[3,2,1,2]=>10010110=>5 [3,6,2,1,8,4,7,5]=>[6,3,7,8,1,5,2,4]=>[1,3,2,2]=>11001010=>5 [3,5,1,7,6,4,8,2]=>[6,4,8,2,3,5,1,7]=>[1,2,3,2]=>11010010=>5 [8,7,4,2,1,6,5,3]=>[1,2,5,7,8,3,4,6]=>[5,3]=>10000100=>3 [5,4,7,6,2,1,8,3]=>[4,5,2,3,7,8,1,6]=>[2,4,2]=>10100010=>5 [3,5,2,8,7,1,6,4]=>[6,4,7,1,2,8,3,5]=>[1,2,3,2]=>11010010=>5 [3,7,6,5,4,1,8,2]=>[6,2,3,4,5,8,1,7]=>[1,5,2]=>11000010=>3 [4,6,5,3,1,8,7,2]=>[5,3,4,6,8,1,2,7]=>[1,4,3]=>11000100=>3 [4,5,2,6,7,3,8,1]=>[5,4,7,3,2,6,1,8]=>[1,2,1,2,2]=>11011010=>5 [8,6,7,4,3,1,5,2]=>[1,3,2,5,6,8,4,7]=>[2,4,2]=>10100010=>5 [4,7,1,8,5,3,2,6]=>[5,2,8,1,4,6,7,3]=>[1,2,4,1]=>11010001=>4 [5,1,8,4,3,6,2,7]=>[4,8,1,5,6,3,7,2]=>[2,3,2,1]=>10100101=>6 [8,6,7,1,4,3,5,2]=>[1,3,2,8,5,6,4,7]=>[2,2,2,2]=>10101010=>7 [8,6,4,5,7,1,3,2]=>[1,3,5,4,2,8,6,7]=>[3,1,2,2]=>10011010=>5 [8,7,3,2,6,5,4,1]=>[1,2,6,7,3,4,5,8]=>[4,4]=>10001000=>3 [8,7,2,3,1,4,6,5]=>[1,2,7,6,8,5,3,4]=>[3,2,1,2]=>10010110=>5 [8,5,1,6,4,7,3,2]=>[1,4,8,3,5,2,6,7]=>[3,2,3]=>10010100=>5 [8,3,4,1,2,7,6,5]=>[1,6,5,8,7,2,3,4]=>[2,2,1,3]=>10101100=>5 [8,5,6,1,7,4,2,3]=>[1,4,3,8,2,5,7,6]=>[2,2,3,1]=>10101001=>6 [4,1,6,8,2,7,5,3]=>[5,8,3,1,7,2,4,6]=>[2,1,2,3]=>10110100=>5 [6,1,5,4,2,7,3,8]=>[3,8,4,5,7,2,6,1]=>[2,3,2,1]=>10100101=>6 [6,4,2,3,1,7,5,8]=>[3,5,7,6,8,2,4,1]=>[3,2,2,1]=>10010101=>6 [3,4,6,1,8,2,7,5]=>[6,5,3,8,1,7,2,4]=>[1,1,2,2,2]=>11101010=>5 [6,4,5,2,7,1,3,8]=>[3,5,4,7,2,8,6,1]=>[2,2,2,1,1]=>10101011=>6 [7,4,3,5,1,6,2,8]=>[2,5,6,4,8,3,7,1]=>[3,2,2,1]=>10010101=>6 [7,5,3,6,2,1,4,8]=>[2,4,6,3,7,8,5,1]=>[3,3,1,1]=>10010011=>4 [6,4,3,7,1,8,2,5]=>[3,5,6,2,8,1,7,4]=>[3,2,2,1]=>10010101=>6 [3,1,2,7,6,4,5,8]=>[6,8,7,2,3,5,4,1]=>[2,1,3,1,1]=>10110011=>4 [5,6,1,7,2,4,3,8]=>[4,3,8,2,7,5,6,1]=>[1,2,2,2,1]=>11010101=>6 [3,5,6,8,1,2,7,4]=>[6,4,3,1,8,7,2,5]=>[1,1,1,2,1,2]=>11110110=>3 [2,3,7,1,5,6,4,8]=>[7,6,2,8,4,3,5,1]=>[1,1,2,1,2,1]=>11101101=>4 [2,6,5,3,4,1,7,8]=>[7,3,4,6,5,8,2,1]=>[1,3,2,1,1]=>11001011=>4 [2,6,1,3,5,4,7,8]=>[7,3,8,6,4,5,2,1]=>[1,2,1,2,1,1]=>11011011=>4 [6,1,5,4,2,7,8,3]=>[3,8,4,5,7,2,1,6]=>[2,3,1,2]=>10100110=>5 [4,6,1,5,2,7,8,3]=>[5,3,8,4,7,2,1,6]=>[1,2,2,1,2]=>11010110=>5 [2,8,6,5,1,3,7,4]=>[7,1,3,4,8,6,2,5]=>[1,4,1,2]=>11000110=>3 [5,1,8,6,2,7,4,3]=>[4,8,1,3,7,2,5,6]=>[2,3,3]=>10100100=>5 [5,6,4,1,7,2,8,3]=>[4,3,5,8,2,7,1,6]=>[1,3,2,2]=>11001010=>5 [1,4,5,3,8,7,2,6]=>[8,5,4,6,1,2,7,3]=>[1,1,2,3,1]=>11101001=>4 [3,4,1,6,8,5,7,2]=>[6,5,8,3,1,4,2,7]=>[1,2,1,2,2]=>11011010=>5 [3,8,6,1,5,7,4,2]=>[6,1,3,8,4,2,5,7]=>[1,3,1,3]=>11001100=>3 [8,6,7,1,3,5,4,2]=>[1,3,2,8,6,4,5,7]=>[2,2,1,3]=>10101100=>5 [3,5,8,2,1,6,4,7]=>[6,4,1,7,8,3,5,2]=>[1,1,3,2,1]=>11100101=>4 [6,1,3,8,5,7,4,2]=>[3,8,6,1,4,2,5,7]=>[2,1,2,3]=>10110100=>5 [8,1,6,3,4,2,5,7]=>[1,8,3,6,5,7,4,2]=>[2,2,2,1,1]=>10101011=>6 [3,4,1,5,8,7,6,2]=>[6,5,8,4,1,2,3,7]=>[1,2,1,4]=>11011000=>3 [3,4,1,5,7,8,6,2]=>[6,5,8,4,2,1,3,7]=>[1,2,1,1,3]=>11011100=>3 [3,4,1,5,8,6,7,2]=>[6,5,8,4,1,3,2,7]=>[1,2,1,2,2]=>11011010=>5 [2,5,8,3,6,1,7,4]=>[7,4,1,6,3,8,2,5]=>[1,1,2,2,2]=>11101010=>5 [5,1,6,2,4,7,3,8]=>[4,8,3,7,5,2,6,1]=>[2,2,1,2,1]=>10101101=>6 [6,1,4,7,2,5,3,8]=>[3,8,5,2,7,4,6,1]=>[2,1,2,2,1]=>10110101=>6 [2,5,7,3,6,1,4,8]=>[7,4,2,6,3,8,5,1]=>[1,1,2,2,1,1]=>11101011=>4 [7,4,2,3,1,6,8,5]=>[2,5,7,6,8,3,1,4]=>[3,2,1,2]=>10010110=>5 [3,7,4,5,1,8,2,6]=>[6,2,5,4,8,1,7,3]=>[1,2,2,2,1]=>11010101=>6 [6,7,2,5,4,3,8,1]=>[3,2,7,4,5,6,1,8]=>[1,2,3,2]=>11010010=>5 [2,3,5,6,8,4,1,7]=>[7,6,4,3,1,5,8,2]=>[1,1,1,1,3,1]=>11111001=>2 [3,7,5,6,4,1,2,8]=>[6,2,4,3,5,8,7,1]=>[1,2,3,1,1]=>11010011=>4 [6,7,1,5,3,4,2,8]=>[3,2,8,4,6,5,7,1]=>[1,2,2,2,1]=>11010101=>6 [5,4,2,3,7,1,6,8]=>[4,5,7,6,2,8,3,1]=>[3,1,2,1,1]=>10011011=>4 [6,4,3,7,1,8,5,2]=>[3,5,6,2,8,1,4,7]=>[3,2,3]=>10010100=>5 [7,3,1,6,2,4,5,8]=>[2,6,8,3,7,5,4,1]=>[3,2,1,1,1]=>10010111=>4 [4,3,6,2,5,8,1,7]=>[5,6,3,7,4,1,8,2]=>[2,2,1,2,1]=>10101101=>6 [8,7,9,6,5,4,2,1,3]=>[2,3,1,4,5,6,8,9,7]=>[2,6,1]=>101000001=>4 [8,9,7,6,5,4,2,1,3]=>[2,1,3,4,5,6,8,9,7]=>[1,7,1]=>110000001=>2 [8,9,7,6,5,4,2,3,1]=>[2,1,3,4,5,6,8,7,9]=>[1,6,2]=>110000010=>3 [1,6,4,5,7,3,2,8]=>[8,3,5,4,2,6,7,1]=>[1,2,1,3,1]=>11011001=>4 [1,6,4,5,7,2,8,3]=>[8,3,5,4,2,7,1,6]=>[1,2,1,2,2]=>11011010=>5 [1,5,6,7,3,2,4,8]=>[8,4,3,2,6,7,5,1]=>[1,1,1,3,1,1]=>11110011=>2 [3,1,5,4,2,7,8,6]=>[6,8,4,5,7,2,1,3]=>[2,3,1,2]=>10100110=>5 [5,4,1,6,8,3,2,7]=>[4,5,8,3,1,6,7,2]=>[3,1,3,1]=>10011001=>4 [5,4,1,3,7,6,2,8]=>[4,5,8,6,2,3,7,1]=>[3,1,3,1]=>10011001=>4 [5,4,7,6,1,3,2,8]=>[4,5,2,3,8,6,7,1]=>[2,3,2,1]=>10100101=>6 [8,2,7,6,1,5,3,4]=>[1,7,2,3,8,4,6,5]=>[2,3,2,1]=>10100101=>6 [1,4,6,5,8,3,2,7]=>[8,5,3,4,1,6,7,2]=>[1,1,2,3,1]=>11101001=>4 [4,3,1,6,8,5,2,7]=>[5,6,8,3,1,4,7,2]=>[3,1,3,1]=>10011001=>4 [5,2,4,3,8,7,1,6]=>[4,7,5,6,1,2,8,3]=>[2,2,3,1]=>10101001=>6 [3,2,8,4,1,7,5,6]=>[6,7,1,5,8,2,4,3]=>[2,3,2,1]=>10100101=>6 [8,2,4,3,1,7,5,6]=>[1,7,5,6,8,2,4,3]=>[2,3,2,1]=>10100101=>6 [7,6,8,2,1,5,3,4]=>[2,3,1,7,8,4,6,5]=>[2,3,2,1]=>10100101=>6 [5,4,6,7,2,1,8,3]=>[4,5,3,2,7,8,1,6]=>[2,1,3,2]=>10110010=>5 [6,7,2,5,4,1,8,3]=>[3,2,7,4,5,8,1,6]=>[1,2,3,2]=>11010010=>5 [3,1,8,4,7,5,6,2]=>[6,8,1,5,2,4,3,7]=>[2,2,2,2]=>10101010=>7 [8,6,2,5,1,3,7,4]=>[1,3,7,4,8,6,2,5]=>[3,2,1,2]=>10010110=>5 [3,8,2,4,1,6,5,7]=>[6,1,7,5,8,3,4,2]=>[1,2,2,2,1]=>11010101=>6 [2,4,3,5,8,6,1,7]=>[7,5,6,4,1,3,8,2]=>[1,2,1,3,1]=>11011001=>4 [8,4,3,1,5,2,6,7]=>[1,5,6,8,4,7,3,2]=>[4,2,1,1]=>10001011=>4 [7,1,6,8,3,2,4,5]=>[2,8,3,1,6,7,5,4]=>[2,1,3,1,1]=>10110011=>4 [7,8,3,6,1,2,5,4]=>[2,1,6,3,8,7,4,5]=>[1,2,2,1,2]=>11010110=>5 [5,7,2,6,4,1,8,3]=>[4,2,7,3,5,8,1,6]=>[1,2,3,2]=>11010010=>5 [8,1,7,6,2,3,5,4]=>[1,8,2,3,7,6,4,5]=>[2,3,1,2]=>10100110=>5 [7,4,3,1,6,8,2,5]=>[2,5,6,8,3,1,7,4]=>[4,1,2,1]=>10001101=>4 [6,3,5,7,4,2,8,1]=>[3,6,4,2,5,7,1,8]=>[2,1,3,2]=>10110010=>5 [8,2,1,6,4,7,3,5]=>[1,7,8,3,5,2,6,4]=>[3,2,2,1]=>10010101=>6 [1,3,8,6,5,2,7,4]=>[8,6,1,3,4,7,2,5]=>[1,1,4,2]=>11100010=>3 [2,7,3,8,5,6,4,1]=>[7,2,6,1,4,3,5,8]=>[1,2,2,3]=>11010100=>5 [1,2,8,5,7,4,6,3]=>[8,7,1,4,2,5,3,6]=>[1,1,2,2,2]=>11101010=>5 [3,8,4,5,6,7,1,2]=>[6,1,5,4,3,2,8,7]=>[1,2,1,1,2,1]=>11011101=>4 [2,1,3,7,4,6,8,5]=>[7,8,6,2,5,3,1,4]=>[2,1,2,1,2]=>10110110=>5 [5,7,1,8,3,2,6,4]=>[4,2,8,1,6,7,3,5]=>[1,2,3,2]=>11010010=>5 [7,2,4,1,8,6,5,3]=>[2,7,5,8,1,3,4,6]=>[2,2,4]=>10101000=>5 [7,2,3,5,1,6,4,8]=>[2,7,6,4,8,3,5,1]=>[2,1,2,2,1]=>10110101=>6 [2,1,3,8,6,4,7,5]=>[7,8,6,1,3,5,2,4]=>[2,1,3,2]=>10110010=>5 [7,4,8,1,3,2,5,6]=>[2,5,1,8,6,7,4,3]=>[2,2,2,1,1]=>10101011=>6 [4,7,6,1,3,2,5,8]=>[5,2,3,8,6,7,4,1]=>[1,3,2,1,1]=>11001011=>4 [5,8,4,3,7,6,2,1]=>[4,1,5,6,2,3,7,8]=>[1,3,4]=>11001000=>3 [8,1,5,3,4,7,2,6]=>[1,8,4,6,5,2,7,3]=>[2,2,1,2,1]=>10101101=>6 [1,5,8,6,4,3,7,2]=>[8,4,1,3,5,6,2,7]=>[1,1,4,2]=>11100010=>3 [5,8,6,4,2,1,7,3]=>[4,1,3,5,7,8,2,6]=>[1,5,2]=>11000010=>3 [2,6,1,8,4,7,5,3]=>[7,3,8,1,5,2,4,6]=>[1,2,2,3]=>11010100=>5 [5,3,8,6,1,2,7,4]=>[4,6,1,3,8,7,2,5]=>[2,3,1,2]=>10100110=>5 [5,8,1,4,6,2,7,3]=>[4,1,8,5,3,7,2,6]=>[1,2,1,2,2]=>11011010=>5 [3,7,6,2,1,4,8,5]=>[6,2,3,7,8,5,1,4]=>[1,4,1,2]=>11000110=>3 [3,6,7,4,2,1,8,5]=>[6,3,2,5,7,8,1,4]=>[1,1,4,2]=>11100010=>3 [4,8,5,6,3,7,1,2]=>[5,1,4,3,6,2,8,7]=>[1,2,2,2,1]=>11010101=>6 [4,8,3,6,5,7,2,1]=>[5,1,6,3,4,2,7,8]=>[1,2,2,3]=>11010100=>5 [6,8,7,5,1,3,4,2]=>[3,1,2,4,8,6,5,7]=>[1,4,1,2]=>11000110=>3 [2,7,6,1,5,3,8,4]=>[7,2,3,8,4,6,1,5]=>[1,3,2,2]=>11001010=>5 [6,4,5,8,7,1,3,2]=>[3,5,4,1,2,8,6,7]=>[2,1,3,2]=>10110010=>5 [6,4,1,7,8,3,2,5]=>[3,5,8,2,1,6,7,4]=>[3,1,3,1]=>10011001=>4 [7,5,6,3,2,1,8,4]=>[2,4,3,6,7,8,1,5]=>[2,4,2]=>10100010=>5 [7,5,6,2,3,1,8,4]=>[2,4,3,7,6,8,1,5]=>[2,2,2,2]=>10101010=>7 [1,7,4,6,2,5,8,3]=>[8,2,5,3,7,4,1,6]=>[1,2,2,1,2]=>11010110=>5 [7,5,2,3,6,1,8,4]=>[2,4,7,6,3,8,1,5]=>[3,1,2,2]=>10011010=>5 [7,5,3,6,2,1,8,4]=>[2,4,6,3,7,8,1,5]=>[3,3,2]=>10010010=>5 [3,8,2,5,7,6,1,4]=>[6,1,7,4,2,3,8,5]=>[1,2,1,3,1]=>11011001=>4 [7,6,3,2,1,4,8,5]=>[2,3,6,7,8,5,1,4]=>[5,1,2]=>10000110=>3 [7,5,2,1,6,3,8,4]=>[2,4,7,8,3,6,1,5]=>[4,2,2]=>10001010=>5 [5,3,8,2,7,4,6,1]=>[4,6,1,7,2,5,3,8]=>[2,2,2,2]=>10101010=>7 [6,2,8,5,3,7,4,1]=>[3,7,1,4,6,2,5,8]=>[2,3,3]=>10100100=>5 [4,3,2,8,7,5,1,6]=>[5,6,7,1,2,4,8,3]=>[3,4,1]=>10010001=>4 [6,4,2,1,5,7,8,3]=>[3,5,7,8,4,2,1,6]=>[4,1,1,2]=>10001110=>3 [6,4,3,8,7,2,5,1]=>[3,5,6,1,2,7,4,8]=>[3,3,2]=>10010010=>5 [5,4,7,2,1,3,8,6]=>[4,5,2,7,8,6,1,3]=>[2,3,1,2]=>10100110=>5 [6,5,3,2,7,8,4,1]=>[3,4,6,7,2,1,5,8]=>[4,1,3]=>10001100=>3 [2,6,4,5,7,1,8,3]=>[7,3,5,4,2,8,1,6]=>[1,2,1,2,2]=>11011010=>5 [3,7,4,6,1,5,8,2]=>[6,2,5,3,8,4,1,7]=>[1,2,2,1,2]=>11010110=>5 [3,4,6,5,2,8,1,7]=>[6,5,3,4,7,1,8,2]=>[1,1,3,2,1]=>11100101=>4 [4,6,7,5,8,2,1,3]=>[5,3,2,4,1,7,8,6]=>[1,1,2,3,1]=>11101001=>4 [5,6,3,1,4,7,2,8]=>[4,3,6,8,5,2,7,1]=>[1,3,1,2,1]=>11001101=>4 [2,3,5,8,4,7,6,1]=>[7,6,4,1,5,2,3,8]=>[1,1,1,2,3]=>11110100=>3 [8,2,6,5,1,4,7,3]=>[1,7,3,4,8,5,2,6]=>[2,3,1,2]=>10100110=>5 [5,6,3,1,8,4,2,7]=>[4,3,6,8,1,5,7,2]=>[1,3,3,1]=>11001001=>4 [7,1,6,4,3,8,2,5]=>[2,8,3,5,6,1,7,4]=>[2,3,2,1]=>10100101=>6 [6,7,2,1,4,8,3,5]=>[3,2,7,8,5,1,6,4]=>[1,3,1,2,1]=>11001101=>4 [8,6,7,3,2,5,4,1]=>[1,3,2,6,7,4,5,8]=>[2,3,3]=>10100100=>5 [5,1,4,6,2,7,8,3]=>[4,8,5,3,7,2,1,6]=>[2,1,2,1,2]=>10110110=>5 [1,2,5,3,7,8,6,4]=>[8,7,4,6,2,1,3,5]=>[1,1,2,1,3]=>11101100=>3 [4,8,3,5,1,2,7,6]=>[5,1,6,4,8,7,2,3]=>[1,2,2,1,2]=>11010110=>5 [6,1,3,7,2,8,4,5]=>[3,8,6,2,7,1,5,4]=>[2,1,2,2,1]=>10110101=>6 [3,1,5,8,2,6,7,4]=>[6,8,4,1,7,3,2,5]=>[2,1,2,1,2]=>10110110=>5 [2,8,5,3,1,7,4,6]=>[7,1,4,6,8,2,5,3]=>[1,4,2,1]=>11000101=>4 [6,5,2,3,7,1,8,4]=>[3,4,7,6,2,8,1,5]=>[3,1,2,2]=>10011010=>5 [7,2,1,6,4,8,3,5]=>[2,7,8,3,5,1,6,4]=>[3,2,2,1]=>10010101=>6 [2,1,3,7,5,8,4,6]=>[7,8,6,2,4,1,5,3]=>[2,1,2,2,1]=>10110101=>6 [6,2,4,5,7,1,8,3]=>[3,7,5,4,2,8,1,6]=>[2,1,1,2,2]=>10111010=>5 [2,3,8,7,1,4,6,5]=>[7,6,1,2,8,5,3,4]=>[1,1,3,1,2]=>11100110=>3 [4,2,7,5,6,8,1,3]=>[5,7,2,4,3,1,8,6]=>[2,2,1,2,1]=>10101101=>6 [1,4,7,6,5,2,3,8]=>[8,5,2,3,4,7,6,1]=>[1,1,4,1,1]=>11100011=>2 [2,7,3,5,1,4,6,8]=>[7,2,6,4,8,5,3,1]=>[1,2,2,1,1,1]=>11010111=>4 [2,7,8,3,5,1,4,6]=>[7,2,1,6,4,8,5,3]=>[1,1,2,2,1,1]=>11101011=>4 [7,4,5,1,3,6,8,2]=>[2,5,4,8,6,3,1,7]=>[2,2,1,1,2]=>10101110=>5 [8,2,7,4,5,1,3,6]=>[1,7,2,5,4,8,6,3]=>[2,2,2,1,1]=>10101011=>6 [2,4,1,3,7,6,5,8]=>[7,5,8,6,2,3,4,1]=>[1,2,1,3,1]=>11011001=>4 [6,2,5,4,7,3,1,8]=>[3,7,4,5,2,6,8,1]=>[2,2,3,1]=>10101001=>6 [7,2,8,3,5,6,4,1]=>[2,7,1,6,4,3,5,8]=>[2,2,1,3]=>10101100=>5 [6,8,2,5,4,7,3,1]=>[3,1,7,4,5,2,6,8]=>[1,2,2,3]=>11010100=>5 [5,6,8,1,4,7,3,2]=>[4,3,1,8,5,2,6,7]=>[1,1,2,1,3]=>11101100=>3 [5,2,9,8,1,7,6,4,3]=>[5,8,1,2,9,3,4,6,7]=>[2,3,4]=>101001000=>5 [7,1,3,8,6,5,2,4]=>[2,8,6,1,3,4,7,5]=>[2,1,4,1]=>10110001=>4 [6,3,4,1,8,2,5,7]=>[3,6,5,8,1,7,4,2]=>[2,2,2,1,1]=>10101011=>6 [5,1,8,7,3,6,2,4]=>[4,8,1,2,6,3,7,5]=>[2,3,2,1]=>10100101=>6 [4,6,8,2,3,1,7,5]=>[5,3,1,7,6,8,2,4]=>[1,1,2,2,2]=>11101010=>5 [4,7,2,3,5,1,8,6]=>[5,2,7,6,4,8,1,3]=>[1,2,1,2,2]=>11011010=>5 [6,4,2,1,3,7,5,8]=>[3,5,7,8,6,2,4,1]=>[4,1,2,1]=>10001101=>4 [5,3,2,7,6,1,8,4]=>[4,6,7,2,3,8,1,5]=>[3,3,2]=>10010010=>5 [5,7,4,2,6,1,8,3]=>[4,2,5,7,3,8,1,6]=>[1,3,2,2]=>11001010=>5 [5,4,7,1,6,2,8,3]=>[4,5,2,8,3,7,1,6]=>[2,2,2,2]=>10101010=>7 [4,5,8,7,6,2,1,3]=>[5,4,1,2,3,7,8,6]=>[1,1,5,1]=>11100001=>2 [5,7,1,8,2,4,3,6]=>[4,2,8,1,7,5,6,3]=>[1,2,2,2,1]=>11010101=>6 [6,7,1,2,5,8,4,3]=>[3,2,8,7,4,1,5,6]=>[1,2,1,1,3]=>11011100=>3 [8,1,4,6,5,2,3,7]=>[1,8,5,3,4,7,6,2]=>[2,1,3,1,1]=>10110011=>4 [4,8,6,3,7,2,5,1]=>[5,1,3,6,2,7,4,8]=>[1,3,2,2]=>11001010=>5 [8,2,3,1,6,4,7,5]=>[1,7,6,8,3,5,2,4]=>[2,2,2,2]=>10101010=>7 [1,8,3,7,6,2,5,4]=>[8,1,6,2,3,7,4,5]=>[1,2,3,2]=>11010010=>5 [1,3,2,7,4,6,8,5]=>[8,6,7,2,5,3,1,4]=>[1,2,2,1,2]=>11010110=>5 [1,3,8,4,6,2,7,5]=>[8,6,1,5,3,7,2,4]=>[1,1,2,2,2]=>11101010=>5 [6,4,3,5,1,7,2,8]=>[3,5,6,4,8,2,7,1]=>[3,2,2,1]=>10010101=>6 [2,3,5,8,4,1,6,7]=>[7,6,4,1,5,8,3,2]=>[1,1,1,3,1,1]=>11110011=>2 [2,5,8,4,3,6,7,1]=>[7,4,1,5,6,3,2,8]=>[1,1,3,1,2]=>11100110=>3 [5,8,4,6,7,2,3,1]=>[4,1,5,3,2,7,6,8]=>[1,2,1,2,2]=>11011010=>5 [4,2,5,8,6,7,3,1]=>[5,7,4,1,3,2,6,8]=>[2,1,2,3]=>10110100=>5 [8,2,3,6,7,4,5,1]=>[1,7,6,3,2,5,4,8]=>[2,1,1,2,2]=>10111010=>5 [6,1,3,8,5,4,2,7]=>[3,8,6,1,4,5,7,2]=>[2,1,4,1]=>10110001=>4 [3,6,1,2,5,4,7,8]=>[6,3,8,7,4,5,2,1]=>[1,2,1,2,1,1]=>11011011=>4 [5,6,4,2,1,7,3,8]=>[4,3,5,7,8,2,6,1]=>[1,4,2,1]=>11000101=>4 [3,2,7,6,5,1,8,4]=>[6,7,2,3,4,8,1,5]=>[2,4,2]=>10100010=>5 [2,3,7,6,4,8,5,1]=>[7,6,2,3,5,1,4,8]=>[1,1,3,3]=>11100100=>3 [4,5,7,8,6,2,3,1]=>[5,4,2,1,3,7,6,8]=>[1,1,1,3,2]=>11110010=>3 [6,4,7,1,2,5,3,8]=>[3,5,2,8,7,4,6,1]=>[2,2,1,2,1]=>10101101=>6 [3,6,7,5,4,1,8,2]=>[6,3,2,4,5,8,1,7]=>[1,1,4,2]=>11100010=>3 [8,4,3,6,5,7,1,2]=>[1,5,6,3,4,2,8,7]=>[3,2,2,1]=>10010101=>6 [8,2,3,6,4,7,1,5]=>[1,7,6,3,5,2,8,4]=>[2,1,2,2,1]=>10110101=>6 [8,4,6,5,2,7,1,3]=>[1,5,3,4,7,2,8,6]=>[2,3,2,1]=>10100101=>6 [8,2,1,5,7,4,3,6]=>[1,7,8,4,2,5,6,3]=>[3,1,3,1]=>10011001=>4 [8,7,1,2,3,5,4,6]=>[1,2,8,7,6,4,5,3]=>[3,1,1,2,1]=>10011101=>4 [8,4,5,1,2,3,7,6]=>[1,5,4,8,7,6,2,3]=>[2,2,1,1,2]=>10101110=>5 [4,1,7,2,3,8,6,5]=>[5,8,2,7,6,1,3,4]=>[2,2,1,3]=>10101100=>5 [1,6,5,2,7,8,3,4]=>[8,3,4,7,2,1,6,5]=>[1,3,1,2,1]=>11001101=>4 [1,2,7,5,8,6,3,4]=>[8,7,2,4,1,3,6,5]=>[1,1,2,3,1]=>11101001=>4 [7,4,5,1,6,8,2,3]=>[2,5,4,8,3,1,7,6]=>[2,2,1,2,1]=>10101101=>6 [1,7,8,4,2,6,3,5]=>[8,2,1,5,7,3,6,4]=>[1,1,3,2,1]=>11100101=>4 [6,3,2,5,7,4,1,8]=>[3,6,7,4,2,5,8,1]=>[3,1,3,1]=>10011001=>4 [7,4,3,2,6,8,1,5]=>[2,5,6,7,3,1,8,4]=>[4,1,2,1]=>10001101=>4 [5,2,8,4,6,3,1,7]=>[4,7,1,5,3,6,8,2]=>[2,2,3,1]=>10101001=>6 [6,2,1,4,5,8,3,7]=>[3,7,8,5,4,1,6,2]=>[3,1,1,2,1]=>10011101=>4 [6,4,8,5,2,7,3,1]=>[3,5,1,4,7,2,6,8]=>[2,3,3]=>10100100=>5 [6,2,3,1,8,4,5,7]=>[3,7,6,8,1,5,4,2]=>[2,2,2,1,1]=>10101011=>6 [5,4,2,7,1,3,8,6]=>[4,5,7,2,8,6,1,3]=>[3,2,1,2]=>10010110=>5 [3,7,1,5,2,4,8,6]=>[6,2,8,4,7,5,1,3]=>[1,2,2,1,2]=>11010110=>5 [6,4,7,5,1,2,3,8]=>[3,5,2,4,8,7,6,1]=>[2,3,1,1,1]=>10100111=>4 [1,7,5,8,3,2,4,6]=>[8,2,4,1,6,7,5,3]=>[1,2,3,1,1]=>11010011=>4 [1,3,8,5,7,2,4,6]=>[8,6,1,4,2,7,5,3]=>[1,1,2,2,1,1]=>11101011=>4 [8,3,2,5,6,4,1,7]=>[1,6,7,4,3,5,8,2]=>[3,1,3,1]=>10011001=>4 [3,2,8,5,6,4,1,7]=>[6,7,1,4,3,5,8,2]=>[2,2,3,1]=>10101001=>6 [3,8,2,5,6,4,1,7]=>[6,1,7,4,3,5,8,2]=>[1,2,1,3,1]=>11011001=>4 [5,2,6,8,7,1,4,3]=>[4,7,3,1,2,8,5,6]=>[2,1,3,2]=>10110010=>5 [8,1,5,6,2,7,4,3]=>[1,8,4,3,7,2,5,6]=>[2,1,2,3]=>10110100=>5 [6,2,1,5,3,7,8,4]=>[3,7,8,4,6,2,1,5]=>[3,2,1,2]=>10010110=>5 [2,7,4,3,1,5,8,6]=>[7,2,5,6,8,4,1,3]=>[1,4,1,2]=>11000110=>3 [3,8,1,6,2,7,4,5]=>[6,1,8,3,7,2,5,4]=>[1,2,2,2,1]=>11010101=>6 [8,5,1,6,3,7,4,2]=>[1,4,8,3,6,2,5,7]=>[3,2,3]=>10010100=>5 [1,5,2,7,3,6,8,4]=>[8,4,7,2,6,3,1,5]=>[1,2,2,1,2]=>11010110=>5 [1,4,7,6,2,8,5,3]=>[8,5,2,3,7,1,4,6]=>[1,1,3,3]=>11100100=>3 [1,5,8,3,2,6,4,7]=>[8,4,1,6,7,3,5,2]=>[1,1,3,2,1]=>11100101=>4 [6,2,5,1,3,8,7,4]=>[3,7,4,8,6,1,2,5]=>[2,2,1,3]=>10101100=>5 [6,2,8,5,1,3,7,4]=>[3,7,1,4,8,6,2,5]=>[2,3,1,2]=>10100110=>5 [4,1,7,8,3,6,5,2]=>[5,8,2,1,6,3,4,7]=>[2,1,2,3]=>10110100=>5 [6,4,2,1,7,3,5,8]=>[3,5,7,8,2,6,4,1]=>[4,2,1,1]=>10001011=>4 [5,8,4,2,1,3,6,7]=>[4,1,5,7,8,6,3,2]=>[1,4,1,1,1]=>11000111=>2 [6,7,1,4,8,2,3,5]=>[3,2,8,5,1,7,6,4]=>[1,2,1,2,1,1]=>11011011=>4 [6,8,1,2,3,5,4,7]=>[3,1,8,7,6,4,5,2]=>[1,2,1,1,2,1]=>11011101=>4 [4,5,3,6,7,8,9,1,2]=>[6,5,7,4,3,2,1,9,8]=>[1,2,1,1,1,2,1]=>110111101=>4 [5,3,4,6,7,8,9,1,2]=>[5,7,6,4,3,2,1,9,8]=>[2,1,1,1,1,2,1]=>101111101=>4 [6,3,5,7,1,8,2,4]=>[3,6,4,2,8,1,7,5]=>[2,1,2,2,1]=>10110101=>6 [6,4,2,5,7,8,3,1]=>[3,5,7,4,2,1,6,8]=>[3,1,1,3]=>10011100=>3 [6,3,5,7,1,8,4,2]=>[3,6,4,2,8,1,5,7]=>[2,1,2,3]=>10110100=>5 [7,4,1,2,3,6,5,8]=>[2,5,8,7,6,3,4,1]=>[3,1,1,2,1]=>10011101=>4 [7,2,1,6,3,4,5,8]=>[2,7,8,3,6,5,4,1]=>[3,2,1,1,1]=>10010111=>4 [7,3,6,2,4,1,5,8]=>[2,6,3,7,5,8,4,1]=>[2,2,2,1,1]=>10101011=>6 [5,4,1,2,3,6,8,7]=>[4,5,8,7,6,3,1,2]=>[3,1,1,1,2]=>10011110=>3 [1,7,5,8,4,3,6,2]=>[8,2,4,1,5,6,3,7]=>[1,2,3,2]=>11010010=>5 [2,7,8,3,5,1,6,4]=>[7,2,1,6,4,8,3,5]=>[1,1,2,2,2]=>11101010=>5 [2,3,7,5,8,1,6,4]=>[7,6,2,4,1,8,3,5]=>[1,1,2,2,2]=>11101010=>5 [4,3,1,7,8,2,5,6]=>[5,6,8,2,1,7,4,3]=>[3,1,2,1,1]=>10011011=>4 [2,5,7,8,1,3,6,4]=>[7,4,2,1,8,6,3,5]=>[1,1,1,2,1,2]=>11110110=>3 [2,5,7,8,3,6,4,1]=>[7,4,2,1,6,3,5,8]=>[1,1,1,2,3]=>11110100=>3 [5,8,1,6,4,7,2,3]=>[4,1,8,3,5,2,7,6]=>[1,2,2,2,1]=>11010101=>6 [2,4,7,5,1,8,6,3]=>[7,5,2,4,8,1,3,6]=>[1,1,3,3]=>11100100=>3 [2,3,7,1,8,5,6,4]=>[7,6,2,8,1,4,3,5]=>[1,1,2,2,2]=>11101010=>5 [6,5,1,2,7,4,8,3]=>[3,4,8,7,2,5,1,6]=>[3,1,2,2]=>10011010=>5 [3,6,5,1,8,7,4,2]=>[6,3,4,8,1,2,5,7]=>[1,3,4]=>11001000=>3 [7,4,5,8,1,3,2,6]=>[2,5,4,1,8,6,7,3]=>[2,1,2,2,1]=>10110101=>6 [5,7,2,1,6,4,3,8]=>[4,2,7,8,3,5,6,1]=>[1,3,3,1]=>11001001=>4 [8,7,2,1,6,4,3,5]=>[1,2,7,8,3,5,6,4]=>[4,3,1]=>10001001=>4 [7,8,1,2,5,4,3,6]=>[2,1,8,7,4,5,6,3]=>[1,2,1,3,1]=>11011001=>4 [8,7,1,2,6,4,3,5]=>[1,2,8,7,3,5,6,4]=>[3,1,3,1]=>10011001=>4 [8,1,7,2,6,5,3,4]=>[1,8,2,7,3,4,6,5]=>[2,2,3,1]=>10101001=>6 [4,2,7,8,6,5,3,1]=>[5,7,2,1,3,4,6,8]=>[2,1,5]=>10110000=>3 [3,1,2,7,6,5,4,8]=>[6,8,7,2,3,4,5,1]=>[2,1,4,1]=>10110001=>4 [2,7,8,1,6,4,3,5]=>[7,2,1,8,3,5,6,4]=>[1,1,2,3,1]=>11101001=>4 [4,2,7,1,6,5,3,8]=>[5,7,2,8,3,4,6,1]=>[2,2,3,1]=>10101001=>6 [3,4,7,6,1,5,2,8]=>[6,5,2,3,8,4,7,1]=>[1,1,3,2,1]=>11100101=>4 [5,7,1,6,8,4,2,3]=>[4,2,8,3,1,5,7,6]=>[1,2,1,3,1]=>11011001=>4 [4,1,7,6,8,5,2,3]=>[5,8,2,3,1,4,7,6]=>[2,2,3,1]=>10101001=>6 [3,4,7,6,5,8,1,2]=>[6,5,2,3,4,1,8,7]=>[1,1,3,2,1]=>11100101=>4 [2,8,4,3,5,1,7,6]=>[7,1,5,6,4,8,2,3]=>[1,3,2,2]=>11001010=>5 [3,8,4,2,6,5,7,1]=>[6,1,5,7,3,4,2,8]=>[1,3,2,2]=>11001010=>5 [4,2,5,3,6,8,7,1]=>[5,7,4,6,3,1,2,8]=>[2,2,1,3]=>10101100=>5 [3,8,4,1,6,5,7,2]=>[6,1,5,8,3,4,2,7]=>[1,3,2,2]=>11001010=>5 [1,8,5,2,6,4,7,3]=>[8,1,4,7,3,5,2,6]=>[1,3,2,2]=>11001010=>5 [3,8,5,1,6,4,7,2]=>[6,1,4,8,3,5,2,7]=>[1,3,2,2]=>11001010=>5 [4,8,5,1,6,3,7,2]=>[5,1,4,8,3,6,2,7]=>[1,3,2,2]=>11001010=>5 [4,1,5,8,6,3,7,2]=>[5,8,4,1,3,6,2,7]=>[2,1,3,2]=>10110010=>5 [4,1,5,3,6,2,7,8]=>[5,8,4,6,3,7,2,1]=>[2,2,2,1,1]=>10101011=>6 [3,1,5,7,4,8,6,2]=>[6,8,4,2,5,1,3,7]=>[2,1,2,3]=>10110100=>5 [7,2,6,4,1,5,3,8]=>[2,7,3,5,8,4,6,1]=>[2,3,2,1]=>10100101=>6 [1,2,6,5,8,3,7,4]=>[8,7,3,4,1,6,2,5]=>[1,1,2,2,2]=>11101010=>5 [7,3,5,6,1,4,2,8]=>[2,6,4,3,8,5,7,1]=>[2,1,2,2,1]=>10110101=>6 [5,8,3,1,6,7,4,2]=>[4,1,6,8,3,2,5,7]=>[1,3,1,3]=>11001100=>3 [4,5,8,1,7,3,6,2]=>[5,4,1,8,2,6,3,7]=>[1,1,2,2,2]=>11101010=>5 [4,7,1,6,8,5,2,3]=>[5,2,8,3,1,4,7,6]=>[1,2,1,3,1]=>11011001=>4 [5,8,7,1,6,4,2,3]=>[4,1,2,8,3,5,7,6]=>[1,3,3,1]=>11001001=>4 [4,1,8,3,2,5,7,6]=>[5,8,1,6,7,4,2,3]=>[2,3,1,2]=>10100110=>5 [1,7,3,8,2,5,4,6]=>[8,2,6,1,7,4,5,3]=>[1,2,2,2,1]=>11010101=>6 [8,4,2,1,6,3,7,5]=>[1,5,7,8,3,6,2,4]=>[4,2,2]=>10001010=>5 [8,2,6,1,5,7,4,3]=>[1,7,3,8,4,2,5,6]=>[2,2,1,3]=>10101100=>5 [8,2,1,3,5,7,6,4]=>[1,7,8,6,4,2,3,5]=>[3,1,1,3]=>10011100=>3 [2,6,1,3,7,5,8,4]=>[7,3,8,6,2,4,1,5]=>[1,2,1,2,2]=>11011010=>5 [2,5,1,7,6,3,8,4]=>[7,4,8,2,3,6,1,5]=>[1,2,3,2]=>11010010=>5 [5,8,2,4,6,1,7,3]=>[4,1,7,5,3,8,2,6]=>[1,2,1,2,2]=>11011010=>5 [1,4,7,8,5,2,6,3]=>[8,5,2,1,4,7,3,6]=>[1,1,1,3,2]=>11110010=>3 [3,8,5,2,6,4,1,7]=>[6,1,4,7,3,5,8,2]=>[1,3,3,1]=>11001001=>4 [8,2,5,7,6,1,4,3]=>[1,7,4,2,3,8,5,6]=>[2,1,3,2]=>10110010=>5 [5,3,1,8,6,7,4,2]=>[4,6,8,1,3,2,5,7]=>[3,2,3]=>10010100=>5 [5,7,1,6,4,2,8,3]=>[4,2,8,3,5,7,1,6]=>[1,2,3,2]=>11010010=>5 [2,7,1,6,5,8,4,3]=>[7,2,8,3,4,1,5,6]=>[1,2,2,3]=>11010100=>5 [2,3,6,1,7,5,4,8]=>[7,6,3,8,2,4,5,1]=>[1,1,2,3,1]=>11101001=>4 [2,7,1,4,8,6,5,3]=>[7,2,8,5,1,3,4,6]=>[1,2,1,4]=>11011000=>3 [6,7,5,4,1,3,2,8]=>[3,2,4,5,8,6,7,1]=>[1,4,2,1]=>11000101=>4 [5,7,3,2,1,4,8,6]=>[4,2,6,7,8,5,1,3]=>[1,4,1,2]=>11000110=>3 [5,8,6,3,2,4,7,1]=>[4,1,3,6,7,5,2,8]=>[1,4,1,2]=>11000110=>3 [6,2,7,1,4,3,5,8]=>[3,7,2,8,5,6,4,1]=>[2,2,2,1,1]=>10101011=>6 [7,6,2,8,5,3,1,4]=>[2,3,7,1,4,6,8,5]=>[3,4,1]=>10010001=>4 [7,1,2,3,8,4,6,5]=>[2,8,7,6,1,5,3,4]=>[2,1,1,2,2]=>10111010=>5 [4,1,3,5,2,7,6,8]=>[5,8,6,4,7,2,3,1]=>[2,1,2,2,1]=>10110101=>6 [9,3,2,1,4,5,6,7,8]=>[1,7,8,9,6,5,4,3,2]=>[4,1,1,1,1,1]=>100011111=>2 [9,4,3,2,1,5,6,7,8]=>[1,6,7,8,9,5,4,3,2]=>[5,1,1,1,1]=>100001111=>2 [9,5,4,3,2,1,6,7,8]=>[1,5,6,7,8,9,4,3,2]=>[6,1,1,1]=>100000111=>2 [4,5,7,6,2,8,3,1]=>[5,4,2,3,7,1,6,8]=>[1,1,3,3]=>11100100=>3 [6,2,8,5,4,3,7,1]=>[3,7,1,4,5,6,2,8]=>[2,4,2]=>10100010=>5 [5,8,4,7,6,1,2,3]=>[4,1,5,2,3,8,7,6]=>[1,2,3,1,1]=>11010011=>4 [8,3,2,7,5,1,6,4]=>[1,6,7,2,4,8,3,5]=>[3,3,2]=>10010010=>5 [2,6,7,4,8,1,5,3]=>[7,3,2,5,1,8,4,6]=>[1,1,2,2,2]=>11101010=>5 [2,8,6,5,4,1,3,7]=>[7,1,3,4,5,8,6,2]=>[1,5,1,1]=>11000011=>2 [8,3,4,2,1,6,7,5]=>[1,6,5,7,8,3,2,4]=>[2,3,1,2]=>10100110=>5 [8,7,4,3,1,2,6,5]=>[1,2,5,6,8,7,3,4]=>[5,1,2]=>10000110=>3 [6,8,4,3,1,2,7,5]=>[3,1,5,6,8,7,2,4]=>[1,4,1,2]=>11000110=>3 [8,3,2,6,5,1,7,4]=>[1,6,7,3,4,8,2,5]=>[3,3,2]=>10010010=>5 [7,3,2,6,5,1,4,8]=>[2,6,7,3,4,8,5,1]=>[3,3,1,1]=>10010011=>4 [2,5,3,7,1,4,6,8]=>[7,4,6,2,8,5,3,1]=>[1,2,2,1,1,1]=>11010111=>4 [2,6,8,4,7,1,3,5]=>[7,3,1,5,2,8,6,4]=>[1,1,2,2,1,1]=>11101011=>4 [2,7,8,4,1,5,3,6]=>[7,2,1,5,8,4,6,3]=>[1,1,3,2,1]=>11100101=>4 [8,3,4,2,1,5,7,6]=>[1,6,5,7,8,4,2,3]=>[2,3,1,2]=>10100110=>5 [6,1,3,8,4,7,5,2]=>[3,8,6,1,5,2,4,7]=>[2,1,2,3]=>10110100=>5 [5,3,1,8,7,4,6,2]=>[4,6,8,1,2,5,3,7]=>[3,3,2]=>10010010=>5 [4,5,1,7,8,6,3,2]=>[5,4,8,2,1,3,6,7]=>[1,2,1,4]=>11011000=>3 [4,2,5,6,8,3,7,1]=>[5,7,4,3,1,6,2,8]=>[2,1,1,2,2]=>10111010=>5 [7,4,8,1,2,6,5,3]=>[2,5,1,8,7,3,4,6]=>[2,2,1,3]=>10101100=>5 [1,6,4,8,2,3,5,7]=>[8,3,5,1,7,6,4,2]=>[1,2,2,1,1,1]=>11010111=>4 [1,6,8,3,7,5,4,2]=>[8,3,1,6,2,4,5,7]=>[1,1,2,4]=>11101000=>3 [7,3,6,5,1,8,2,4]=>[2,6,3,4,8,1,7,5]=>[2,3,2,1]=>10100101=>6 [7,2,4,1,8,6,3,5]=>[2,7,5,8,1,3,6,4]=>[2,2,3,1]=>10101001=>6 [1,6,8,2,7,3,5,4]=>[8,3,1,7,2,6,4,5]=>[1,1,2,2,2]=>11101010=>5 [4,8,7,2,1,3,6,5]=>[5,1,2,7,8,6,3,4]=>[1,4,1,2]=>11000110=>3 [5,4,8,1,7,2,3,6]=>[4,5,1,8,2,7,6,3]=>[2,2,2,1,1]=>10101011=>6 [2,7,6,5,4,3,1,8,9]=>[8,3,4,5,6,7,9,2,1]=>[1,6,1,1]=>110000011=>2 [2,8,5,6,4,1,7,3]=>[7,1,4,3,5,8,2,6]=>[1,2,3,2]=>11010010=>5 [3,7,8,2,5,1,6,4]=>[6,2,1,7,4,8,3,5]=>[1,1,2,2,2]=>11101010=>5 [8,6,1,4,3,2,7,5]=>[1,3,8,5,6,7,2,4]=>[3,3,2]=>10010010=>5 [7,3,8,2,4,1,5,6]=>[2,6,1,7,5,8,4,3]=>[2,2,2,1,1]=>10101011=>6 [6,3,7,8,1,2,5,4]=>[3,6,2,1,8,7,4,5]=>[2,1,2,1,2]=>10110110=>5 [7,6,1,5,2,3,8,4]=>[2,3,8,4,7,6,1,5]=>[3,2,1,2]=>10010110=>5 [5,1,8,6,7,2,3,4]=>[4,8,1,3,2,7,6,5]=>[2,2,2,1,1]=>10101011=>6 [5,7,1,6,8,2,3,4]=>[4,2,8,3,1,7,6,5]=>[1,2,1,2,1,1]=>11011011=>4 [6,8,4,2,1,7,3,5]=>[3,1,5,7,8,2,6,4]=>[1,4,2,1]=>11000101=>4 [6,3,2,8,1,7,4,5]=>[3,6,7,1,8,2,5,4]=>[3,2,2,1]=>10010101=>6 [1,8,5,6,3,7,4,2]=>[8,1,4,3,6,2,5,7]=>[1,2,2,3]=>11010100=>5 [6,7,8,2,4,1,5,3]=>[3,2,1,7,5,8,4,6]=>[1,1,2,2,2]=>11101010=>5 [6,4,1,3,7,8,5,2]=>[3,5,8,6,2,1,4,7]=>[3,1,1,3]=>10011100=>3 [2,3,1,7,4,6,5,8]=>[7,6,8,2,5,3,4,1]=>[1,2,2,2,1]=>11010101=>6 [2,8,3,7,5,4,6,1]=>[7,1,6,2,4,5,3,8]=>[1,2,3,2]=>11010010=>5 [6,8,5,4,3,7,1,2]=>[3,1,4,5,6,2,8,7]=>[1,4,2,1]=>11000101=>4 [1,8,3,2,7,4,5,6]=>[8,1,6,7,2,5,4,3]=>[1,3,2,1,1]=>11001011=>4 [4,5,1,7,3,2,8,6]=>[5,4,8,2,6,7,1,3]=>[1,2,3,2]=>11010010=>5 [1,8,6,7,4,3,5,2]=>[8,1,3,2,5,6,4,7]=>[1,2,3,2]=>11010010=>5 [1,7,8,2,3,4,6,5]=>[8,2,1,7,6,5,3,4]=>[1,1,2,1,1,2]=>11101110=>3 [3,7,2,1,6,5,8,4]=>[6,2,7,8,3,4,1,5]=>[1,3,2,2]=>11001010=>5 [1,6,3,4,2,8,5,7]=>[8,3,6,5,7,1,4,2]=>[1,2,2,2,1]=>11010101=>6 [5,2,3,8,1,6,4,7]=>[4,7,6,1,8,3,5,2]=>[2,1,2,2,1]=>10110101=>6 [2,7,8,4,3,1,5,6]=>[7,2,1,5,6,8,4,3]=>[1,1,4,1,1]=>11100011=>2 [7,4,2,1,6,3,8,5]=>[2,5,7,8,3,6,1,4]=>[4,2,2]=>10001010=>5 [3,5,8,4,2,7,1,6]=>[6,4,1,5,7,2,8,3]=>[1,1,3,2,1]=>11100101=>4 [3,5,6,7,4,1,2,8]=>[6,4,3,2,5,8,7,1]=>[1,1,1,3,1,1]=>11110011=>2 [5,1,3,6,8,4,2,7]=>[4,8,6,3,1,5,7,2]=>[2,1,1,3,1]=>10111001=>4 [5,6,4,8,7,1,2,3]=>[4,3,5,1,2,8,7,6]=>[1,2,3,1,1]=>11010011=>4 [6,5,4,2,8,7,3,1]=>[3,4,5,7,1,2,6,8]=>[4,4]=>10001000=>3 [1,8,5,2,7,6,3,4]=>[8,1,4,7,2,3,6,5]=>[1,3,3,1]=>11001001=>4 [8,2,4,6,3,1,5,7]=>[1,7,5,3,6,8,4,2]=>[2,1,3,1,1]=>10110011=>4 [4,6,8,3,1,5,2,7]=>[5,3,1,6,8,4,7,2]=>[1,1,3,2,1]=>11100101=>4 [5,3,6,4,8,1,2,7]=>[4,6,3,5,1,8,7,2]=>[2,2,2,1,1]=>10101011=>6 [3,6,5,2,1,7,8,4]=>[6,3,4,7,8,2,1,5]=>[1,4,1,2]=>11000110=>3 [5,7,4,8,3,1,2,6]=>[4,2,5,1,6,8,7,3]=>[1,2,3,1,1]=>11010011=>4 [3,7,2,8,1,4,6,5]=>[6,2,7,1,8,5,3,4]=>[1,2,2,1,2]=>11010110=>5 [7,4,3,6,1,5,2,8]=>[2,5,6,3,8,4,7,1]=>[3,2,2,1]=>10010101=>6 [4,5,8,3,6,2,1,7]=>[5,4,1,6,3,7,8,2]=>[1,1,2,3,1]=>11101001=>4 [6,3,7,5,1,2,4,8]=>[3,6,2,4,8,7,5,1]=>[2,3,1,1,1]=>10100111=>4 [5,1,2,6,4,7,3,8]=>[4,8,7,3,5,2,6,1]=>[2,1,2,2,1]=>10110101=>6 [6,1,2,4,8,3,7,5]=>[3,8,7,5,1,6,2,4]=>[2,1,1,2,2]=>10111010=>5 [6,7,2,8,1,4,5,3]=>[3,2,7,1,8,5,4,6]=>[1,2,2,1,2]=>11010110=>5 [7,1,4,5,6,3,8,2]=>[2,8,5,4,3,6,1,7]=>[2,1,1,2,2]=>10111010=>5 [2,5,6,3,1,4,7,8]=>[7,4,3,6,8,5,2,1]=>[1,1,3,1,1,1]=>11100111=>2 [6,7,1,3,5,2,4,8]=>[3,2,8,6,4,7,5,1]=>[1,2,1,2,1,1]=>11011011=>4 [7,1,4,5,6,2,3,8]=>[2,8,5,4,3,7,6,1]=>[2,1,1,2,1,1]=>10111011=>4 [2,5,6,8,1,4,7,3]=>[7,4,3,1,8,5,2,6]=>[1,1,1,2,1,2]=>11110110=>3 [4,1,6,5,2,3,8,7]=>[5,8,3,4,7,6,1,2]=>[2,3,1,2]=>10100110=>5 [4,5,1,7,8,6,2,3]=>[5,4,8,2,1,3,7,6]=>[1,2,1,3,1]=>11011001=>4 [6,8,7,4,3,5,2,1]=>[3,1,2,5,6,4,7,8]=>[1,4,3]=>11000100=>3 [5,8,6,2,4,7,3,1]=>[4,1,3,7,5,2,6,8]=>[1,3,1,3]=>11001100=>3 [4,8,6,2,5,7,3,1]=>[5,1,3,7,4,2,6,8]=>[1,3,1,3]=>11001100=>3 [1,6,8,7,4,5,3,2]=>[8,3,1,2,5,4,6,7]=>[1,1,3,3]=>11100100=>3 [1,4,7,5,3,2,6,8]=>[8,5,2,4,6,7,3,1]=>[1,1,4,1,1]=>11100011=>2 [1,7,5,4,3,2,8,6]=>[8,2,4,5,6,7,1,3]=>[1,5,2]=>11000010=>3 [6,8,7,2,3,5,4,1]=>[3,1,2,7,6,4,5,8]=>[1,3,1,3]=>11001100=>3 [5,7,6,1,8,2,4,3]=>[4,2,3,8,1,7,5,6]=>[1,3,2,2]=>11001010=>5 [4,8,6,5,7,2,3,1]=>[5,1,3,4,2,7,6,8]=>[1,3,2,2]=>11001010=>5 [3,6,4,8,1,2,5,7]=>[6,3,5,1,8,7,4,2]=>[1,2,2,1,1,1]=>11010111=>4 [5,7,2,1,6,4,8,3]=>[4,2,7,8,3,5,1,6]=>[1,3,2,2]=>11001010=>5 [2,7,5,6,1,4,8,3]=>[7,2,4,3,8,5,1,6]=>[1,2,2,1,2]=>11010110=>5 [2,4,1,7,6,8,3,5]=>[7,5,8,2,3,1,6,4]=>[1,2,2,2,1]=>11010101=>6 [2,4,3,7,6,8,1,5]=>[7,5,6,2,3,1,8,4]=>[1,2,2,2,1]=>11010101=>6 [5,1,6,4,3,7,8,2]=>[4,8,3,5,6,2,1,7]=>[2,3,1,2]=>10100110=>5 [8,4,6,1,3,7,5,2]=>[1,5,3,8,6,2,4,7]=>[2,2,1,3]=>10101100=>5 [8,1,3,6,4,5,2,7]=>[1,8,6,3,5,4,7,2]=>[2,1,2,2,1]=>10110101=>6 [1,5,4,7,8,2,6,3]=>[8,4,5,2,1,7,3,6]=>[1,2,1,2,2]=>11011010=>5 [1,2,3,7,4,8,5,9,6]=>[9,8,7,3,6,2,5,1,4]=>[1,1,1,2,2,2]=>111101010=>5 [1,2,3,8,6,4,9,7,5]=>[9,8,7,2,4,6,1,3,5]=>[1,1,1,3,3]=>111100100=>3 [1,2,7,5,3,9,8,6,4]=>[9,8,3,5,7,1,2,4,6]=>[1,1,3,4]=>111001000=>3 [7,5,3,1,9,8,6,4,2]=>[3,5,7,9,1,2,4,6,8]=>[4,5]=>100010000=>3 [5,3,1,9,8,7,6,4,2]=>[5,7,9,1,2,3,4,6,8]=>[3,6]=>100100000=>3 [7,5,2,1,8,4,3,6]=>[2,4,7,8,1,5,6,3]=>[4,3,1]=>10001001=>4 [5,3,1,4,7,8,2,6]=>[4,6,8,5,2,1,7,3]=>[3,1,1,2,1]=>10011101=>4 [7,1,2,4,8,3,5,6]=>[2,8,7,5,1,6,4,3]=>[2,1,1,2,1,1]=>10111011=>4 [8,6,1,3,5,7,4,2]=>[1,3,8,6,4,2,5,7]=>[3,1,1,3]=>10011100=>3 [7,1,5,8,2,3,4,6]=>[2,8,4,1,7,6,5,3]=>[2,1,2,1,1,1]=>10110111=>4 [3,6,8,5,1,4,2,7]=>[6,3,1,4,8,5,7,2]=>[1,1,3,2,1]=>11100101=>4 [5,2,4,1,6,8,3,7]=>[4,7,5,8,3,1,6,2]=>[2,2,1,2,1]=>10101101=>6 [1,3,2,5,4,7,9,6,8]=>[9,7,8,5,6,3,1,4,2]=>[1,2,2,1,2,1]=>110101101=>6 [1,3,2,5,7,4,9,6,8]=>[9,7,8,5,3,6,1,4,2]=>[1,2,1,2,2,1]=>110110101=>6 [1,2,5,3,7,4,9,6,8]=>[9,8,5,7,3,6,1,4,2]=>[1,1,2,2,2,1]=>111010101=>6 [2,1,5,3,6,4,9,7,8]=>[8,9,5,7,4,6,1,3,2]=>[2,2,2,2,1]=>101010101=>8 [2,1,4,3,7,5,8,6,9]=>[8,9,6,7,3,5,2,4,1]=>[2,2,2,2,1]=>101010101=>8 [7,1,5,2,3,4,6,8]=>[2,8,4,7,6,5,3,1]=>[2,2,1,1,1,1]=>10101111=>4 [7,3,1,4,6,2,8,5]=>[2,6,8,5,3,7,1,4]=>[3,1,2,2]=>10011010=>5 [7,4,1,2,5,6,3,8]=>[2,5,8,7,4,3,6,1]=>[3,1,1,2,1]=>10011101=>4 [5,7,4,8,1,6,3,2]=>[4,2,5,1,8,3,6,7]=>[1,2,2,3]=>11010100=>5 [5,7,3,4,6,2,1,8]=>[4,2,6,5,3,7,8,1]=>[1,2,1,3,1]=>11011001=>4 [7,3,5,6,2,4,1,8]=>[2,6,4,3,7,5,8,1]=>[2,1,2,2,1]=>10110101=>6 [3,7,2,5,6,1,4,8]=>[6,2,7,4,3,8,5,1]=>[1,2,1,2,1,1]=>11011011=>4 [3,1,2,7,5,8,6,4]=>[6,8,7,2,4,1,3,5]=>[2,1,2,3]=>10110100=>5 [3,7,2,5,1,6,4,8]=>[6,2,7,4,8,3,5,1]=>[1,2,2,2,1]=>11010101=>6 [4,5,8,2,7,6,3,1]=>[5,4,1,7,2,3,6,8]=>[1,1,2,4]=>11101000=>3 [1,5,7,2,6,4,3,8]=>[8,4,2,7,3,5,6,1]=>[1,1,2,3,1]=>11101001=>4 [6,3,5,1,4,7,2,8]=>[3,6,4,8,5,2,7,1]=>[2,2,1,2,1]=>10101101=>6 [7,3,4,6,1,5,2,8]=>[2,6,5,3,8,4,7,1]=>[2,1,2,2,1]=>10110101=>6 [5,3,6,8,1,7,4,2]=>[4,6,3,1,8,2,5,7]=>[2,1,2,3]=>10110100=>5 [8,4,7,2,3,5,1,6]=>[1,5,2,7,6,4,8,3]=>[2,2,1,2,1]=>10101101=>6 [2,3,7,8,1,6,4,5]=>[7,6,2,1,8,3,5,4]=>[1,1,1,2,2,1]=>11110101=>4 [8,3,7,6,5,4,1,2]=>[1,6,2,3,4,5,8,7]=>[2,5,1]=>10100001=>4 [4,3,1,2,5,7,6,8]=>[5,6,8,7,4,2,3,1]=>[3,1,1,2,1]=>10011101=>4 [1,2,4,7,8,5,6,3]=>[8,7,5,2,1,4,3,6]=>[1,1,1,1,2,2]=>11111010=>3 [8,3,6,5,7,4,2,1]=>[1,6,3,4,2,5,7,8]=>[2,2,4]=>10101000=>5 [8,4,7,1,5,2,6,3]=>[1,5,2,8,4,7,3,6]=>[2,2,2,2]=>10101010=>7 [8,2,5,3,7,6,4,1]=>[1,7,4,6,2,3,5,8]=>[2,2,4]=>10101000=>5 [8,5,7,1,4,3,6,2]=>[1,4,2,8,5,6,3,7]=>[2,2,2,2]=>10101010=>7 [4,1,5,3,2,6,7,8]=>[5,8,4,6,7,3,2,1]=>[2,3,1,1,1]=>10100111=>4 [5,1,2,6,4,3,7,8]=>[4,8,7,3,5,6,2,1]=>[2,1,3,1,1]=>10110011=>4 [5,1,2,7,4,3,6,8]=>[4,8,7,2,5,6,3,1]=>[2,1,3,1,1]=>10110011=>4 [5,3,8,1,7,4,2,6]=>[4,6,1,8,2,5,7,3]=>[2,2,3,1]=>10101001=>6 [5,8,7,2,4,6,3,1]=>[4,1,2,7,5,3,6,8]=>[1,3,1,3]=>11001100=>3 [8,5,3,1,2,6,4,7]=>[1,4,6,8,7,3,5,2]=>[4,1,2,1]=>10001101=>4 [5,6,3,1,2,8,4,7]=>[4,3,6,8,7,1,5,2]=>[1,3,1,2,1]=>11001101=>4 [5,3,8,4,6,1,2,7]=>[4,6,1,5,3,8,7,2]=>[2,2,2,1,1]=>10101011=>6 [5,3,1,8,4,2,6,7]=>[4,6,8,1,5,7,3,2]=>[3,3,1,1]=>10010011=>4 [5,8,3,1,6,2,4,7]=>[4,1,6,8,3,7,5,2]=>[1,3,2,1,1]=>11001011=>4 [5,6,8,3,1,4,2,7]=>[4,3,1,6,8,5,7,2]=>[1,1,3,2,1]=>11100101=>4 [5,3,1,2,6,4,8,7]=>[4,6,8,7,3,5,1,2]=>[3,1,2,2]=>10011010=>5 [5,3,1,4,6,8,2,7]=>[4,6,8,5,3,1,7,2]=>[3,1,1,2,1]=>10011101=>4 [5,4,1,6,8,7,2,3]=>[4,5,8,3,1,2,7,6]=>[3,1,3,1]=>10011001=>4 [3,5,4,7,8,1,6,2]=>[6,4,5,2,1,8,3,7]=>[1,2,1,2,2]=>11011010=>5 [4,5,3,6,8,7,1,2]=>[5,4,6,3,1,2,8,7]=>[1,2,1,3,1]=>11011001=>4 [4,1,6,7,2,8,5,3]=>[5,8,3,2,7,1,4,6]=>[2,1,2,3]=>10110100=>5 [2,1,6,5,8,7,3,4]=>[7,8,3,4,1,2,6,5]=>[2,2,3,1]=>10101001=>6 [6,4,5,7,1,8,3,2]=>[3,5,4,2,8,1,6,7]=>[2,1,2,3]=>10110100=>5 [4,8,2,5,7,3,6,1]=>[5,1,7,4,2,6,3,8]=>[1,2,1,2,2]=>11011010=>5 [4,5,2,7,8,3,1,6]=>[5,4,7,2,1,6,8,3]=>[1,2,1,3,1]=>11011001=>4 [2,5,6,8,1,4,3,7]=>[7,4,3,1,8,5,6,2]=>[1,1,1,2,2,1]=>11110101=>4 [3,6,7,8,2,5,4,1]=>[6,3,2,1,7,4,5,8]=>[1,1,1,2,3]=>11110100=>3 [3,7,8,1,6,2,5,4]=>[6,2,1,8,3,7,4,5]=>[1,1,2,2,2]=>11101010=>5 [4,7,8,2,6,3,5,1]=>[5,2,1,7,3,6,4,8]=>[1,1,2,2,2]=>11101010=>5 [5,6,8,2,7,1,4,3]=>[4,3,1,7,2,8,5,6]=>[1,1,2,2,2]=>11101010=>5 [4,5,8,2,7,1,3,6]=>[5,4,1,7,2,8,6,3]=>[1,1,2,2,1,1]=>11101011=>4 [6,1,5,4,7,3,8,2]=>[3,8,4,5,2,6,1,7]=>[2,2,2,2]=>10101010=>7 [3,2,5,6,7,1,8,4]=>[6,7,4,3,2,8,1,5]=>[2,1,1,2,2]=>10111010=>5 [6,4,5,1,7,3,8,2]=>[3,5,4,8,2,6,1,7]=>[2,2,2,2]=>10101010=>7 [6,1,5,3,7,2,8,4]=>[3,8,4,6,2,7,1,5]=>[2,2,2,2]=>10101010=>7 [5,1,7,6,3,2,4,8]=>[4,8,2,3,6,7,5,1]=>[2,4,1,1]=>10100011=>4 [8,5,1,2,6,4,7,3]=>[1,4,8,7,3,5,2,6]=>[3,1,2,2]=>10011010=>5 [8,5,1,6,2,4,3,7]=>[1,4,8,3,7,5,6,2]=>[3,2,2,1]=>10010101=>6 [6,3,2,1,5,8,7,4]=>[3,6,7,8,4,1,2,5]=>[4,1,3]=>10001100=>3 [8,5,7,6,1,3,4,2]=>[1,4,2,3,8,6,5,7]=>[2,3,1,2]=>10100110=>5 [8,2,6,1,5,3,4,7]=>[1,7,3,8,4,6,5,2]=>[2,2,2,1,1]=>10101011=>6 [8,6,5,1,7,3,4,2]=>[1,3,4,8,2,6,5,7]=>[4,2,2]=>10001010=>5 [6,7,5,1,8,3,4,2]=>[3,2,4,8,1,6,5,7]=>[1,3,2,2]=>11001010=>5 [2,6,7,1,5,3,4,8]=>[7,3,2,8,4,6,5,1]=>[1,1,2,2,1,1]=>11101011=>4 [6,8,5,7,1,3,4,2]=>[3,1,4,2,8,6,5,7]=>[1,2,2,1,2]=>11010110=>5 [8,4,7,6,1,5,3,2]=>[1,5,2,3,8,4,6,7]=>[2,3,3]=>10100100=>5 [8,4,2,7,6,3,5,1]=>[1,5,7,2,3,6,4,8]=>[3,3,2]=>10010010=>5 [8,7,2,1,6,3,5,4]=>[1,2,7,8,3,6,4,5]=>[4,2,2]=>10001010=>5 [3,1,8,4,2,7,6,5]=>[6,8,1,5,7,2,3,4]=>[2,3,3]=>10100100=>5 [2,8,7,4,1,3,6,5]=>[7,1,2,5,8,6,3,4]=>[1,4,1,2]=>11000110=>3 [8,2,3,1,7,6,4,5]=>[1,7,6,8,2,3,5,4]=>[2,2,3,1]=>10101001=>6 [8,7,2,3,1,6,4,5]=>[1,2,7,6,8,3,5,4]=>[3,2,2,1]=>10010101=>6 [7,2,5,8,3,1,4,6]=>[2,7,4,1,6,8,5,3]=>[2,1,3,1,1]=>10110011=>4 [6,8,2,3,1,7,4,5]=>[3,1,7,6,8,2,5,4]=>[1,2,2,2,1]=>11010101=>6 [8,2,5,7,3,1,4,6]=>[1,7,4,2,6,8,5,3]=>[2,1,3,1,1]=>10110011=>4 [3,1,6,2,7,8,5,4]=>[6,8,3,7,2,1,4,5]=>[2,2,1,3]=>10101100=>5 [5,3,1,7,8,2,6,4]=>[4,6,8,2,1,7,3,5]=>[3,1,2,2]=>10011010=>5 [6,7,4,3,8,5,1,2]=>[3,2,5,6,1,4,8,7]=>[1,3,3,1]=>11001001=>4 [6,2,3,7,1,8,5,4]=>[3,7,6,2,8,1,4,5]=>[2,1,2,3]=>10110100=>5 [5,3,2,8,7,1,6,4]=>[4,6,7,1,2,8,3,5]=>[3,3,2]=>10010010=>5 [8,6,7,4,1,3,5,2]=>[1,3,2,5,8,6,4,7]=>[2,3,1,2]=>10100110=>5 [4,6,3,2,5,1,8,7]=>[5,3,6,7,4,8,1,2]=>[1,3,2,2]=>11001010=>5 [4,8,3,2,6,5,7,1]=>[5,1,6,7,3,4,2,8]=>[1,3,2,2]=>11001010=>5 [8,1,6,2,5,4,7,3]=>[1,8,3,7,4,5,2,6]=>[2,2,2,2]=>10101010=>7 [2,4,3,8,6,1,7,5]=>[7,5,6,1,3,8,2,4]=>[1,2,3,2]=>11010010=>5 [2,6,3,8,5,4,7,1]=>[7,3,6,1,4,5,2,8]=>[1,2,3,2]=>11010010=>5 [8,1,4,6,5,3,7,2]=>[1,8,5,3,4,6,2,7]=>[2,1,3,2]=>10110010=>5 [3,5,4,6,1,2,8,7]=>[6,4,5,3,8,7,1,2]=>[1,2,2,1,2]=>11010110=>5 [7,3,5,6,1,8,2,4]=>[2,6,4,3,8,1,7,5]=>[2,1,2,2,1]=>10110101=>6 [4,6,7,2,3,5,8,1]=>[5,3,2,7,6,4,1,8]=>[1,1,2,1,1,2]=>11101110=>3 [6,5,4,8,7,2,3,1]=>[3,4,5,1,2,7,6,8]=>[3,3,2]=>10010010=>5 [3,8,4,1,7,5,6,2]=>[6,1,5,8,2,4,3,7]=>[1,3,2,2]=>11001010=>5 [8,5,2,4,1,7,3,6]=>[1,4,7,5,8,2,6,3]=>[3,2,2,1]=>10010101=>6 [4,6,1,5,2,3,7,8]=>[5,3,8,4,7,6,2,1]=>[1,2,2,1,1,1]=>11010111=>4 [5,7,4,3,6,2,1,8]=>[4,2,5,6,3,7,8,1]=>[1,3,3,1]=>11001001=>4 [9,8,7,5,1,6,4,3,2]=>[1,2,3,5,9,4,6,7,8]=>[5,4]=>100001000=>3 [4,7,1,2,6,8,5,3]=>[5,2,8,7,3,1,4,6]=>[1,2,1,1,3]=>11011100=>3 [7,2,4,6,8,1,5,3]=>[2,7,5,3,1,8,4,6]=>[2,1,1,2,2]=>10111010=>5 [6,2,5,4,7,8,1,3]=>[3,7,4,5,2,1,8,6]=>[2,2,1,2,1]=>10101101=>6 [3,8,2,6,1,7,4,5]=>[6,1,7,3,8,2,5,4]=>[1,2,2,2,1]=>11010101=>6 [4,3,7,8,5,2,6,1]=>[5,6,2,1,4,7,3,8]=>[2,1,3,2]=>10110010=>5 [5,6,1,8,4,2,3,7]=>[4,3,8,1,5,7,6,2]=>[1,2,3,1,1]=>11010011=>4 [7,4,2,6,1,3,8,5]=>[2,5,7,3,8,6,1,4]=>[3,2,1,2]=>10010110=>5 [6,1,7,4,2,3,8,5]=>[3,8,2,5,7,6,1,4]=>[2,3,1,2]=>10100110=>5 [4,3,7,5,2,8,6,1]=>[5,6,2,4,7,1,3,8]=>[2,3,3]=>10100100=>5 [5,1,7,6,2,4,3,8]=>[4,8,2,3,7,5,6,1]=>[2,3,2,1]=>10100101=>6 [7,4,8,1,5,3,6,2]=>[2,5,1,8,4,6,3,7]=>[2,2,2,2]=>10101010=>7 [2,1,6,8,3,5,4,7]=>[7,8,3,1,6,4,5,2]=>[2,1,2,2,1]=>10110101=>6 [6,2,3,4,1,7,5,8]=>[3,7,6,5,8,2,4,1]=>[2,1,2,2,1]=>10110101=>6 [2,1,7,6,3,5,4,8]=>[7,8,2,3,6,4,5,1]=>[2,3,2,1]=>10100101=>6 [7,6,2,1,3,5,8,4]=>[2,3,7,8,6,4,1,5]=>[4,1,1,2]=>10001110=>3 [2,7,1,6,4,3,5,8]=>[7,2,8,3,5,6,4,1]=>[1,2,3,1,1]=>11010011=>4 [5,4,3,8,7,2,1,6]=>[4,5,6,1,2,7,8,3]=>[3,4,1]=>10010001=>4 [3,8,1,6,4,5,7,2]=>[6,1,8,3,5,4,2,7]=>[1,2,2,1,2]=>11010110=>5 [4,5,8,3,6,1,7,2]=>[5,4,1,6,3,8,2,7]=>[1,1,2,2,2]=>11101010=>5 [3,7,1,4,2,5,6,8]=>[6,2,8,5,7,4,3,1]=>[1,2,2,1,1,1]=>11010111=>4 [4,7,5,3,2,6,8,1]=>[5,2,4,6,7,3,1,8]=>[1,4,1,2]=>11000110=>3 [2,6,3,4,1,5,7,8]=>[7,3,6,5,8,4,2,1]=>[1,2,2,1,1,1]=>11010111=>4 [3,7,4,6,8,1,2,5]=>[6,2,5,3,1,8,7,4]=>[1,2,1,2,1,1]=>11011011=>4 [4,5,8,7,2,3,1,6]=>[5,4,1,2,7,6,8,3]=>[1,1,3,2,1]=>11100101=>4 [5,6,1,3,7,8,2,4]=>[4,3,8,6,2,1,7,5]=>[1,2,1,1,2,1]=>11011101=>4 [3,8,4,6,5,7,2,1]=>[6,1,5,3,4,2,7,8]=>[1,2,2,3]=>11010100=>5 [8,2,6,4,3,7,5,1]=>[1,7,3,5,6,2,4,8]=>[2,3,3]=>10100100=>5 [6,3,1,8,7,4,5,2]=>[3,6,8,1,2,5,4,7]=>[3,3,2]=>10010010=>5 [8,6,3,2,7,4,5,1]=>[1,3,6,7,2,5,4,8]=>[4,2,2]=>10001010=>5 [1,3,6,8,7,4,5,2]=>[8,6,3,1,2,5,4,7]=>[1,1,1,3,2]=>11110010=>3 [5,7,1,3,6,2,4,8]=>[4,2,8,6,3,7,5,1]=>[1,2,1,2,1,1]=>11011011=>4 [4,7,1,3,2,5,8,6]=>[5,2,8,6,7,4,1,3]=>[1,2,2,1,2]=>11010110=>5 [5,7,1,3,6,2,8,4]=>[4,2,8,6,3,7,1,5]=>[1,2,1,2,2]=>11011010=>5 [6,8,2,5,7,3,1,4]=>[3,1,7,4,2,6,8,5]=>[1,2,1,3,1]=>11011001=>4 [5,8,6,3,4,7,2,1]=>[4,1,3,6,5,2,7,8]=>[1,3,1,3]=>11001100=>3 [3,7,5,4,2,8,1,6]=>[6,2,4,5,7,1,8,3]=>[1,4,2,1]=>11000101=>4 [4,6,5,1,7,8,2,3]=>[5,3,4,8,2,1,7,6]=>[1,3,1,2,1]=>11001101=>4 [4,7,1,3,2,8,5,6]=>[5,2,8,6,7,1,4,3]=>[1,2,2,2,1]=>11010101=>6 [3,6,5,1,8,2,4,7]=>[6,3,4,8,1,7,5,2]=>[1,3,2,1,1]=>11001011=>4 [5,8,7,3,4,2,6,1]=>[4,1,2,6,5,7,3,8]=>[1,3,2,2]=>11001010=>5 [5,7,1,8,6,2,4,3]=>[4,2,8,1,3,7,5,6]=>[1,2,3,2]=>11010010=>5 [3,8,5,6,4,1,7,2]=>[6,1,4,3,5,8,2,7]=>[1,2,3,2]=>11010010=>5 [5,2,8,1,6,7,4,3]=>[4,7,1,8,3,2,5,6]=>[2,2,1,3]=>10101100=>5 [5,7,8,4,2,1,6,3]=>[4,2,1,5,7,8,3,6]=>[1,1,4,2]=>11100010=>3 [1,4,6,8,7,5,2,3]=>[8,5,3,1,2,4,7,6]=>[1,1,1,4,1]=>11110001=>2 [6,4,3,8,7,5,2,1]=>[3,5,6,1,2,4,7,8]=>[3,5]=>10010000=>3 [8,7,6,5,4,1,9,3,2]=>[2,3,4,5,6,9,1,7,8]=>[6,3]=>100000100=>3 [8,7,6,5,2,9,1,3,4]=>[2,3,4,5,8,1,9,7,6]=>[5,2,1,1]=>100001011=>4 [6,9,5,4,3,2,1,7,8]=>[4,1,5,6,7,8,9,3,2]=>[1,6,1,1]=>110000011=>2 [8,7,6,5,2,1,4,3,9]=>[2,3,4,5,8,9,6,7,1]=>[6,2,1]=>100000101=>4 [8,7,6,5,1,9,4,3,2]=>[2,3,4,5,9,1,6,7,8]=>[5,4]=>100001000=>3 [5,9,8,4,3,2,1,6,7]=>[5,1,2,6,7,8,9,4,3]=>[1,6,1,1]=>110000011=>2 [8,5,2,3,7,4,6,1]=>[1,4,7,6,2,5,3,8]=>[3,1,2,2]=>10011010=>5 [4,7,2,6,8,5,3,1]=>[5,2,7,3,1,4,6,8]=>[1,2,1,4]=>11011000=>3 [3,7,2,4,5,8,6,1]=>[6,2,7,5,4,1,3,8]=>[1,2,1,1,3]=>11011100=>3 [4,8,2,5,6,7,3,1]=>[5,1,7,4,3,2,6,8]=>[1,2,1,1,3]=>11011100=>3 [4,5,8,3,2,6,7,1]=>[5,4,1,6,7,3,2,8]=>[1,1,3,1,2]=>11100110=>3 [3,8,5,2,7,4,6,1]=>[6,1,4,7,2,5,3,8]=>[1,3,2,2]=>11001010=>5 [4,2,7,6,8,5,3,1]=>[5,7,2,3,1,4,6,8]=>[2,2,4]=>10101000=>5 [5,2,6,8,7,4,3,1]=>[4,7,3,1,2,5,6,8]=>[2,1,5]=>10110000=>3 [6,3,1,5,4,8,2,7]=>[3,6,8,4,5,1,7,2]=>[3,2,2,1]=>10010101=>6 [4,7,6,3,5,2,8,1]=>[5,2,3,6,4,7,1,8]=>[1,3,2,2]=>11001010=>5 [8,7,3,2,6,4,5,1]=>[1,2,6,7,3,5,4,8]=>[4,2,2]=>10001010=>5 [8,3,1,4,7,5,2,6]=>[1,6,8,5,2,4,7,3]=>[3,1,3,1]=>10011001=>4 [5,3,1,6,4,8,7,2]=>[4,6,8,3,5,1,2,7]=>[3,2,3]=>10010100=>5 [3,4,8,5,7,2,6,1]=>[6,5,1,4,2,7,3,8]=>[1,1,2,2,2]=>11101010=>5 [2,8,3,5,1,7,6,4]=>[7,1,6,4,8,2,3,5]=>[1,2,2,3]=>11010100=>5 [8,3,4,1,7,6,5,2]=>[1,6,5,8,2,3,4,7]=>[2,2,4]=>10101000=>5 [2,3,8,6,1,7,5,4]=>[7,6,1,3,8,2,4,5]=>[1,1,3,3]=>11100100=>3 [8,5,1,2,7,6,4,3]=>[1,4,8,7,2,3,5,6]=>[3,1,4]=>10011000=>3 [7,1,6,8,3,2,5,4]=>[2,8,3,1,6,7,4,5]=>[2,1,3,2]=>10110010=>5 [8,1,5,4,6,2,3,7]=>[1,8,4,5,3,7,6,2]=>[2,2,2,1,1]=>10101011=>6 [8,2,6,3,1,5,4,7]=>[1,7,3,6,8,4,5,2]=>[2,3,2,1]=>10100101=>6 [2,7,1,6,4,3,8,5]=>[7,2,8,3,5,6,1,4]=>[1,2,3,2]=>11010010=>5 [2,7,6,8,1,3,4,5]=>[7,2,3,1,8,6,5,4]=>[1,2,2,1,1,1]=>11010111=>4 [5,7,3,6,8,2,4,1]=>[4,2,6,3,1,7,5,8]=>[1,2,1,2,2]=>11011010=>5 [2,3,8,4,5,1,7,6]=>[7,6,1,5,4,8,2,3]=>[1,1,2,2,2]=>11101010=>5 [4,5,7,8,1,2,6,3]=>[5,4,2,1,8,7,3,6]=>[1,1,1,2,1,2]=>11110110=>3 [7,2,6,4,5,8,3,1]=>[2,7,3,5,4,1,6,8]=>[2,2,1,3]=>10101100=>5 [7,8,3,5,4,6,2,1]=>[2,1,6,4,5,3,7,8]=>[1,2,2,3]=>11010100=>5 [4,3,7,5,2,8,1,6]=>[5,6,2,4,7,1,8,3]=>[2,3,2,1]=>10100101=>6 [9,5,4,3,2,1,8,7,6]=>[1,5,6,7,8,9,2,3,4]=>[6,3]=>100000100=>3 [9,3,2,1,8,7,6,5,4]=>[1,7,8,9,2,3,4,5,6]=>[4,5]=>100010000=>3 [6,5,4,3,2,1,9,7,8]=>[4,5,6,7,8,9,1,3,2]=>[6,2,1]=>100000101=>4 [3,2,1,9,4,8,7,6,5]=>[7,8,9,1,6,2,3,4,5]=>[3,2,4]=>100101000=>5 [3,7,8,5,6,2,4,1]=>[6,2,1,4,3,7,5,8]=>[1,1,2,2,2]=>11101010=>5 [3,4,5,7,1,6,2,8]=>[6,5,4,2,8,3,7,1]=>[1,1,1,2,2,1]=>11110101=>4 [4,5,6,1,8,3,7,2]=>[5,4,3,8,1,6,2,7]=>[1,1,2,2,2]=>11101010=>5 [3,5,8,2,1,7,6,4]=>[6,4,1,7,8,2,3,5]=>[1,1,3,3]=>11100100=>3 [7,4,3,6,2,5,8,1]=>[2,5,6,3,7,4,1,8]=>[3,2,1,2]=>10010110=>5 [4,3,8,7,1,6,2,5]=>[5,6,1,2,8,3,7,4]=>[2,3,2,1]=>10100101=>6 [8,2,3,1,6,5,7,4]=>[1,7,6,8,3,4,2,5]=>[2,2,2,2]=>10101010=>7 [3,8,2,6,4,7,1,5]=>[6,1,7,3,5,2,8,4]=>[1,2,2,2,1]=>11010101=>6 [1,7,5,8,6,2,4,3]=>[8,2,4,1,3,7,5,6]=>[1,2,3,2]=>11010010=>5 [5,3,6,1,8,4,7,2]=>[4,6,3,8,1,5,2,7]=>[2,2,2,2]=>10101010=>7 [4,2,1,8,5,7,6,3]=>[5,7,8,1,4,2,3,6]=>[3,2,3]=>10010100=>5 [5,2,1,7,8,4,6,3]=>[4,7,8,2,1,5,3,6]=>[3,1,2,2]=>10011010=>5 [4,2,8,6,3,7,1,5]=>[5,7,1,3,6,2,8,4]=>[2,3,2,1]=>10100101=>6 [1,3,2,8,6,4,7,5]=>[8,6,7,1,3,5,2,4]=>[1,2,3,2]=>11010010=>5 [4,8,2,6,7,3,1,5]=>[5,1,7,3,2,6,8,4]=>[1,2,1,3,1]=>11011001=>4 [7,8,2,1,5,6,3,4]=>[2,1,7,8,4,3,6,5]=>[1,3,1,2,1]=>11001101=>4 [7,2,6,4,8,5,1,3]=>[2,7,3,5,1,4,8,6]=>[2,2,3,1]=>10101001=>6 [9,8,6,5,7,4,3,2,1]=>[1,2,4,5,3,6,7,8,9]=>[4,5]=>100010000=>3 [2,5,7,1,6,4,3,8]=>[7,4,2,8,3,5,6,1]=>[1,1,2,3,1]=>11101001=>4 [5,1,4,6,3,8,7,2]=>[4,8,5,3,6,1,2,7]=>[2,1,2,3]=>10110100=>5 [5,2,6,4,3,7,1,8]=>[4,7,3,5,6,2,8,1]=>[2,3,2,1]=>10100101=>6 [1,4,8,7,5,6,3,2]=>[8,5,1,2,4,3,6,7]=>[1,1,3,3]=>11100100=>3 [3,1,7,4,2,6,5,8]=>[6,8,2,5,7,3,4,1]=>[2,3,2,1]=>10100101=>6 [4,6,7,1,3,5,2,8]=>[5,3,2,8,6,4,7,1]=>[1,1,2,1,2,1]=>11101101=>4 [3,6,1,4,8,5,7,2]=>[6,3,8,5,1,4,2,7]=>[1,2,1,2,2]=>11011010=>5 [7,3,2,6,4,1,5,8]=>[2,6,7,3,5,8,4,1]=>[3,3,1,1]=>10010011=>4 [6,2,7,5,3,4,8,1]=>[3,7,2,4,6,5,1,8]=>[2,3,1,2]=>10100110=>5 [6,5,4,1,7,2,3,8]=>[3,4,5,8,2,7,6,1]=>[4,2,1,1]=>10001011=>4 [8,3,6,1,7,4,5,2]=>[1,6,3,8,2,5,4,7]=>[2,2,2,2]=>10101010=>7 [7,1,2,6,4,8,3,5]=>[2,8,7,3,5,1,6,4]=>[2,1,2,2,1]=>10110101=>6 [3,5,1,8,6,2,4,7]=>[6,4,8,1,3,7,5,2]=>[1,2,3,1,1]=>11010011=>4 [5,4,6,2,1,8,3,7]=>[4,5,3,7,8,1,6,2]=>[2,3,2,1]=>10100101=>6 [9,8,7,6,4,3,2,5,1]=>[1,2,3,4,6,7,8,5,9]=>[7,2]=>100000010=>3 [9,8,7,6,4,5,2,3,1]=>[1,2,3,4,6,5,8,7,9]=>[5,2,2]=>100001010=>5 [9,8,7,6,5,3,4,2,1]=>[1,2,3,4,5,7,6,8,9]=>[6,3]=>100000100=>3 [5,6,4,8,1,2,3,7]=>[4,3,5,1,8,7,6,2]=>[1,2,2,1,1,1]=>11010111=>4 [4,6,1,3,7,8,2,5]=>[5,3,8,6,2,1,7,4]=>[1,2,1,1,2,1]=>11011101=>4 [5,4,7,3,8,6,2,1]=>[4,5,2,6,1,3,7,8]=>[2,2,4]=>10101000=>5 [2,7,5,6,1,3,8,4]=>[7,2,4,3,8,6,1,5]=>[1,2,2,1,2]=>11010110=>5 [7,2,4,5,1,6,8,3]=>[2,7,5,4,8,3,1,6]=>[2,1,2,1,2]=>10110110=>5 [4,7,2,5,8,6,1,3]=>[5,2,7,4,1,3,8,6]=>[1,2,1,3,1]=>11011001=>4 [1,8,7,5,4,6,2,3]=>[8,1,2,4,5,3,7,6]=>[1,4,2,1]=>11000101=>4 [3,8,1,4,7,5,6,2]=>[6,1,8,5,2,4,3,7]=>[1,2,1,2,2]=>11011010=>5 [6,4,1,5,3,8,7,2]=>[3,5,8,4,6,1,2,7]=>[3,2,3]=>10010100=>5 [8,1,6,7,4,5,3,2]=>[1,8,3,2,5,4,6,7]=>[2,1,2,3]=>10110100=>5 [4,6,7,2,3,5,1,8]=>[5,3,2,7,6,4,8,1]=>[1,1,2,1,2,1]=>11101101=>4 [8,6,1,4,7,5,3,2]=>[1,3,8,5,2,4,6,7]=>[3,1,4]=>10011000=>3 [6,4,8,1,5,3,7,2]=>[3,5,1,8,4,6,2,7]=>[2,2,2,2]=>10101010=>7 [2,6,3,8,1,5,7,4]=>[7,3,6,1,8,4,2,5]=>[1,2,2,1,2]=>11010110=>5 [4,8,6,1,3,7,5,2]=>[5,1,3,8,6,2,4,7]=>[1,3,1,3]=>11001100=>3 [6,2,4,7,5,1,3,8]=>[3,7,5,2,4,8,6,1]=>[2,1,3,1,1]=>10110011=>4 [8,2,4,5,7,1,3,6]=>[1,7,5,4,2,8,6,3]=>[2,1,1,2,1,1]=>10111011=>4 [5,1,8,6,3,7,2,4]=>[4,8,1,3,6,2,7,5]=>[2,3,2,1]=>10100101=>6 [8,1,3,7,4,6,2,5]=>[1,8,6,2,5,3,7,4]=>[2,1,2,2,1]=>10110101=>6 [8,3,6,2,7,1,4,5]=>[1,6,3,7,2,8,5,4]=>[2,2,2,1,1]=>10101011=>6 [7,1,4,6,2,3,5,8]=>[2,8,5,3,7,6,4,1]=>[2,1,2,1,1,1]=>10110111=>4 [1,6,4,3,5,8,2,7]=>[8,3,5,6,4,1,7,2]=>[1,3,1,2,1]=>11001101=>4 [5,1,4,3,7,8,6,2]=>[4,8,5,6,2,1,3,7]=>[2,2,1,3]=>10101100=>5 [5,7,1,8,6,3,2,4]=>[4,2,8,1,3,6,7,5]=>[1,2,4,1]=>11010001=>4 [5,8,1,6,3,2,7,4]=>[4,1,8,3,6,7,2,5]=>[1,2,3,2]=>11010010=>5 [7,4,6,8,2,5,1,3]=>[2,5,3,1,7,4,8,6]=>[2,1,2,2,1]=>10110101=>6 [2,7,6,3,5,1,8,4]=>[7,2,3,6,4,8,1,5]=>[1,3,2,2]=>11001010=>5 [8,4,3,1,6,7,2,5]=>[1,5,6,8,3,2,7,4]=>[4,1,2,1]=>10001101=>4 [1,5,7,3,4,2,6,8]=>[8,4,2,6,5,7,3,1]=>[1,1,2,2,1,1]=>11101011=>4 [4,6,5,1,7,8,3,2]=>[5,3,4,8,2,1,6,7]=>[1,3,1,3]=>11001100=>3 [2,1,6,4,3,7,5,8]=>[7,8,3,5,6,2,4,1]=>[2,3,2,1]=>10100101=>6 [2,6,7,3,5,1,4,8]=>[7,3,2,6,4,8,5,1]=>[1,1,2,2,1,1]=>11101011=>4 [8,4,7,6,1,3,2,5]=>[1,5,2,3,8,6,7,4]=>[2,3,2,1]=>10100101=>6 [5,6,2,4,7,1,3,8]=>[4,3,7,5,2,8,6,1]=>[1,2,1,2,1,1]=>11011011=>4 [5,7,8,1,3,6,2,4]=>[4,2,1,8,6,3,7,5]=>[1,1,2,1,2,1]=>11101101=>4 [4,1,3,7,6,5,2,8]=>[5,8,6,2,3,4,7,1]=>[2,1,4,1]=>10110001=>4 [7,9,8,6,5,4,3,1,2]=>[3,1,2,4,5,6,7,9,8]=>[1,7,1]=>110000001=>2 [8,7,6,5,4,2,3,1,9]=>[2,3,4,5,6,8,7,9,1]=>[6,2,1]=>100000101=>4 [3,4,1,7,2,6,5,8]=>[6,5,8,2,7,3,4,1]=>[1,2,2,2,1]=>11010101=>6 [2,8,3,5,1,6,7,4]=>[7,1,6,4,8,3,2,5]=>[1,2,2,1,2]=>11010110=>5 [3,4,6,2,7,5,1,8]=>[6,5,3,7,2,4,8,1]=>[1,1,2,3,1]=>11101001=>4 [4,3,6,1,2,7,8,5]=>[5,6,3,8,7,2,1,4]=>[2,2,1,1,2]=>10101110=>5 [3,7,6,2,5,1,8,4]=>[6,2,3,7,4,8,1,5]=>[1,3,2,2]=>11001010=>5 [3,4,1,8,7,2,5,6]=>[6,5,8,1,2,7,4,3]=>[1,2,3,1,1]=>11010011=>4 [2,7,8,6,4,3,1,5]=>[7,2,1,3,5,6,8,4]=>[1,1,5,1]=>11100001=>2 [2,7,4,3,6,1,5,8]=>[7,2,5,6,3,8,4,1]=>[1,3,2,1,1]=>11001011=>4 [4,7,2,5,3,1,6,8]=>[5,2,7,4,6,8,3,1]=>[1,2,3,1,1]=>11010011=>4 [7,8,3,5,1,6,2,4]=>[2,1,6,4,8,3,7,5]=>[1,2,2,2,1]=>11010101=>6 [5,1,7,8,2,6,3,4]=>[4,8,2,1,7,3,6,5]=>[2,1,2,2,1]=>10110101=>6 [6,5,7,3,2,1,8,4]=>[3,4,2,6,7,8,1,5]=>[2,4,2]=>10100010=>5 [7,3,2,6,4,5,8,1]=>[2,6,7,3,5,4,1,8]=>[3,2,1,2]=>10010110=>5 [7,3,1,6,4,5,8,2]=>[2,6,8,3,5,4,1,7]=>[3,2,1,2]=>10010110=>5 [2,5,8,7,1,4,6,3]=>[7,4,1,2,8,5,3,6]=>[1,1,3,1,2]=>11100110=>3 [2,5,8,7,3,4,6,1]=>[7,4,1,2,6,5,3,8]=>[1,1,3,1,2]=>11100110=>3 [5,3,8,7,1,4,6,2]=>[4,6,1,2,8,5,3,7]=>[2,3,1,2]=>10100110=>5 [5,1,4,3,6,8,2,7]=>[4,8,5,6,3,1,7,2]=>[2,2,1,2,1]=>10101101=>6 [4,8,6,5,1,3,2,7]=>[5,1,3,4,8,6,7,2]=>[1,4,2,1]=>11000101=>4 [4,5,6,1,8,3,2,7]=>[5,4,3,8,1,6,7,2]=>[1,1,2,3,1]=>11101001=>4 [4,8,6,5,2,3,1,7]=>[5,1,3,4,7,6,8,2]=>[1,4,2,1]=>11000101=>4 [4,5,6,2,8,3,1,7]=>[5,4,3,7,1,6,8,2]=>[1,1,2,3,1]=>11101001=>4 [7,2,6,1,3,5,8,4]=>[2,7,3,8,6,4,1,5]=>[2,2,1,1,2]=>10101110=>5 [6,2,7,1,5,8,3,4]=>[3,7,2,8,4,1,6,5]=>[2,2,1,2,1]=>10101101=>6 [7,4,3,6,1,8,2,5]=>[2,5,6,3,8,1,7,4]=>[3,2,2,1]=>10010101=>6 [6,8,5,3,2,4,7,1]=>[3,1,4,6,7,5,2,8]=>[1,4,1,2]=>11000110=>3 [2,5,7,4,6,1,8,3]=>[7,4,2,5,3,8,1,6]=>[1,1,2,2,2]=>11101010=>5 [7,8,6,1,5,4,2,3]=>[2,1,3,8,4,5,7,6]=>[1,3,3,1]=>11001001=>4 [7,3,6,1,5,2,8,4]=>[2,6,3,8,4,7,1,5]=>[2,2,2,2]=>10101010=>7 [5,8,3,6,7,2,4,1]=>[4,1,6,3,2,7,5,8]=>[1,2,1,2,2]=>11011010=>5 [8,1,6,2,5,7,4,3]=>[1,8,3,7,4,2,5,6]=>[2,2,1,3]=>10101100=>5 [1,8,6,2,4,7,5,3]=>[8,1,3,7,5,2,4,6]=>[1,3,1,3]=>11001100=>3 [4,1,6,3,2,8,7,5]=>[5,8,3,6,7,1,2,4]=>[2,3,3]=>10100100=>5 [2,4,1,8,7,5,6,3]=>[7,5,8,1,2,4,3,6]=>[1,2,3,2]=>11010010=>5 [2,8,7,5,1,4,6,3]=>[7,1,2,4,8,5,3,6]=>[1,4,1,2]=>11000110=>3 [5,7,3,6,4,2,1,8]=>[4,2,6,3,5,7,8,1]=>[1,2,4,1]=>11010001=>4 [5,7,3,6,4,1,8,2]=>[4,2,6,3,5,8,1,7]=>[1,2,3,2]=>11010010=>5 [3,7,5,6,4,1,8,2]=>[6,2,4,3,5,8,1,7]=>[1,2,3,2]=>11010010=>5 [9,6,7,4,5,2,3,1,8]=>[1,4,3,6,5,8,7,9,2]=>[2,2,2,2,1]=>101010101=>8 [8,6,7,4,5,2,3,1,9]=>[2,4,3,6,5,8,7,9,1]=>[2,2,2,2,1]=>101010101=>8 [2,8,1,4,5,3,6,7]=>[7,1,8,5,4,6,3,2]=>[1,2,1,2,1,1]=>11011011=>4 [5,3,2,6,7,8,1,4]=>[4,6,7,3,2,1,8,5]=>[3,1,1,2,1]=>10011101=>4 [7,4,6,5,3,2,1,8]=>[2,5,3,4,6,7,8,1]=>[2,5,1]=>10100001=>4 [7,5,1,3,4,2,8,6]=>[2,4,8,6,5,7,1,3]=>[3,1,2,2]=>10011010=>5 [2,8,5,7,3,4,6,1]=>[7,1,4,2,6,5,3,8]=>[1,2,2,1,2]=>11010110=>5 [8,5,1,3,4,2,6,7]=>[1,4,8,6,5,7,3,2]=>[3,1,2,1,1]=>10011011=>4 [6,1,5,3,4,2,7,8]=>[3,8,4,6,5,7,2,1]=>[2,2,2,1,1]=>10101011=>6 [5,2,3,6,4,7,1,8]=>[4,7,6,3,5,2,8,1]=>[2,1,2,2,1]=>10110101=>6 [6,8,4,5,3,2,1,7]=>[3,1,5,4,6,7,8,2]=>[1,2,4,1]=>11010001=>4 [2,8,7,4,3,6,5,1]=>[7,1,2,5,6,3,4,8]=>[1,4,3]=>11000100=>3 [6,7,2,3,5,8,1,4]=>[3,2,7,6,4,1,8,5]=>[1,2,1,1,2,1]=>11011101=>4 [7,4,5,8,2,3,1,6]=>[2,5,4,1,7,6,8,3]=>[2,1,2,2,1]=>10110101=>6 [2,1,3,8,5,4,6,7]=>[7,8,6,1,4,5,3,2]=>[2,1,3,1,1]=>10110011=>4 [5,3,6,8,2,4,1,7]=>[4,6,3,1,7,5,8,2]=>[2,1,2,2,1]=>10110101=>6 [1,7,8,6,3,2,4,5]=>[8,2,1,3,6,7,5,4]=>[1,1,4,1,1]=>11100011=>2 [7,1,2,5,3,8,4,6]=>[2,8,7,4,6,1,5,3]=>[2,1,2,2,1]=>10110101=>6 [3,7,4,2,5,1,8,6]=>[6,2,5,7,4,8,1,3]=>[1,3,2,2]=>11001010=>5 [7,5,8,2,3,4,6,1]=>[2,4,1,7,6,5,3,8]=>[2,2,1,1,2]=>10101110=>5 [5,3,6,7,8,9,2,4,1]=>[5,7,4,3,2,1,8,6,9]=>[2,1,1,1,2,2]=>101111010=>5 [4,5,2,6,8,3,1,7]=>[5,4,7,3,1,6,8,2]=>[1,2,1,3,1]=>11011001=>4 [5,1,2,4,3,6,7,8,9]=>[5,9,8,6,7,4,3,2,1]=>[2,1,2,1,1,1,1]=>101101111=>4 [7,1,2,3,4,6,5,8,9]=>[3,9,8,7,6,4,5,2,1]=>[2,1,1,1,2,1,1]=>101111011=>4 [8,7,6,4,9,3,2,1,5]=>[2,3,4,6,1,7,8,9,5]=>[4,4,1]=>100010001=>4 [6,7,5,2,1,4,3,8]=>[3,2,4,7,8,5,6,1]=>[1,4,2,1]=>11000101=>4 [3,1,2,5,8,6,7,4]=>[6,8,7,4,1,3,2,5]=>[2,1,1,2,2]=>10111010=>5 [7,6,2,5,4,3,8,1]=>[2,3,7,4,5,6,1,8]=>[3,3,2]=>10010010=>5 [8,2,6,7,3,5,4,1]=>[1,7,3,2,6,4,5,8]=>[2,1,2,3]=>10110100=>5 [4,1,2,5,7,8,6,3]=>[5,8,7,4,2,1,3,6]=>[2,1,1,1,3]=>10111100=>3 [4,5,7,6,2,1,3,8]=>[5,4,2,3,7,8,6,1]=>[1,1,4,1,1]=>11100011=>2 [7,8,2,6,5,4,3,1]=>[2,1,7,3,4,5,6,8]=>[1,2,5]=>11010000=>3 [5,3,7,8,4,2,1,6]=>[4,6,2,1,5,7,8,3]=>[2,1,4,1]=>10110001=>4 [7,3,6,8,1,5,4,2]=>[2,6,3,1,8,4,5,7]=>[2,1,2,3]=>10110100=>5 [3,4,6,7,2,5,1,8]=>[6,5,3,2,7,4,8,1]=>[1,1,1,2,2,1]=>11110101=>4 [7,5,8,2,4,3,6,1]=>[2,4,1,7,5,6,3,8]=>[2,2,2,2]=>10101010=>7 [6,5,8,2,3,4,1,7]=>[3,4,1,7,6,5,8,2]=>[2,2,1,2,1]=>10101101=>6 [8,1,5,3,4,6,2,7]=>[1,8,4,6,5,3,7,2]=>[2,2,1,2,1]=>10101101=>6 [5,8,7,2,4,3,6,1]=>[4,1,2,7,5,6,3,8]=>[1,3,2,2]=>11001010=>5 [7,8,2,3,5,4,6,1]=>[2,1,7,6,4,5,3,8]=>[1,2,1,2,2]=>11011010=>5 [8,4,1,3,2,6,5,7]=>[1,5,8,6,7,3,4,2]=>[3,2,2,1]=>10010101=>6 [8,7,2,3,5,4,6,1]=>[1,2,7,6,4,5,3,8]=>[3,1,2,2]=>10011010=>5 [2,7,3,1,8,5,6,4]=>[7,2,6,8,1,4,3,5]=>[1,3,2,2]=>11001010=>5 [3,8,5,2,1,6,7,4]=>[6,1,4,7,8,3,2,5]=>[1,4,1,2]=>11000110=>3 [6,4,5,2,1,8,7,3]=>[3,5,4,7,8,1,2,6]=>[2,3,3]=>10100100=>5 [6,1,2,4,7,8,5,3]=>[3,8,7,5,2,1,4,6]=>[2,1,1,1,3]=>10111100=>3 [5,3,8,2,1,7,4,6]=>[4,6,1,7,8,2,5,3]=>[2,3,2,1]=>10100101=>6 [1,5,3,4,2,8,6,7]=>[8,4,6,5,7,1,3,2]=>[1,2,2,2,1]=>11010101=>6 [2,1,5,3,7,6,4,8]=>[7,8,4,6,2,3,5,1]=>[2,2,3,1]=>10101001=>6 [3,1,4,7,2,6,8,5]=>[6,8,5,2,7,3,1,4]=>[2,1,2,1,2]=>10110110=>5 [2,1,7,3,5,4,6,8]=>[7,8,2,6,4,5,3,1]=>[2,2,2,1,1]=>10101011=>6 [2,8,6,1,5,7,4,3]=>[7,1,3,8,4,2,5,6]=>[1,3,1,3]=>11001100=>3 [8,3,5,1,7,6,4,2]=>[1,6,4,8,2,3,5,7]=>[2,2,4]=>10101000=>5 [8,3,5,4,7,1,6,2]=>[1,6,4,5,2,8,3,7]=>[2,2,2,2]=>10101010=>7 [4,8,7,1,2,5,3,6]=>[5,1,2,8,7,4,6,3]=>[1,3,1,2,1]=>11001101=>4 [8,7,2,6,1,4,3,5]=>[1,2,7,3,8,5,6,4]=>[3,2,2,1]=>10010101=>6 [7,1,8,6,4,2,3,5]=>[2,8,1,3,5,7,6,4]=>[2,4,1,1]=>10100011=>4 [8,6,5,1,3,7,2,4]=>[1,3,4,8,6,2,7,5]=>[4,1,2,1]=>10001101=>4 [1,5,6,4,3,8,2,7]=>[8,4,3,5,6,1,7,2]=>[1,1,3,2,1]=>11100101=>4 [1,8,2,6,4,3,7,5]=>[8,1,7,3,5,6,2,4]=>[1,2,3,2]=>11010010=>5 [1,6,4,3,8,7,2,5]=>[8,3,5,6,1,2,7,4]=>[1,3,3,1]=>11001001=>4 [8,4,6,1,5,7,2,3]=>[1,5,3,8,4,2,7,6]=>[2,2,1,2,1]=>10101101=>6 [8,4,2,1,6,5,7,3]=>[1,5,7,8,3,4,2,6]=>[4,2,2]=>10001010=>5 [6,8,7,1,4,2,3,5]=>[3,1,2,8,5,7,6,4]=>[1,3,2,1,1]=>11001011=>4 [1,8,5,7,4,6,3,2]=>[8,1,4,2,5,3,6,7]=>[1,2,2,3]=>11010100=>5 [1,4,7,6,8,3,5,2]=>[8,5,2,3,1,6,4,7]=>[1,1,2,2,2]=>11101010=>5 [1,7,2,8,6,5,3,4]=>[8,2,7,1,3,4,6,5]=>[1,2,4,1]=>11010001=>4 [5,7,1,6,4,2,3,8]=>[4,2,8,3,5,7,6,1]=>[1,2,3,1,1]=>11010011=>4 [4,8,2,7,5,1,6,3]=>[5,1,7,2,4,8,3,6]=>[1,2,3,2]=>11010010=>5 [1,7,6,2,5,3,8,4]=>[8,2,3,7,4,6,1,5]=>[1,3,2,2]=>11001010=>5 [1,7,5,2,4,3,8,6]=>[8,2,4,7,5,6,1,3]=>[1,3,2,2]=>11001010=>5 [2,8,5,1,4,3,6,7]=>[7,1,4,8,5,6,3,2]=>[1,3,2,1,1]=>11001011=>4 [7,1,2,4,5,3,8,6]=>[2,8,7,5,4,6,1,3]=>[2,1,1,2,2]=>10111010=>5 [7,6,8,1,2,4,5,3]=>[2,3,1,8,7,5,4,6]=>[2,2,1,1,2]=>10101110=>5 [7,1,3,5,2,4,8,6]=>[2,8,6,4,7,5,1,3]=>[2,1,2,1,2]=>10110110=>5 [2,5,7,1,3,6,8,4]=>[7,4,2,8,6,3,1,5]=>[1,1,2,1,1,2]=>11101110=>3 [9,7,6,5,4,3,2,8,1]=>[1,3,4,5,6,7,8,2,9]=>[7,2]=>100000010=>3 [3,6,5,2,8,4,7,1]=>[6,3,4,7,1,5,2,8]=>[1,3,2,2]=>11001010=>5 [3,8,7,1,4,6,2,5]=>[6,1,2,8,5,3,7,4]=>[1,3,1,2,1]=>11001101=>4 [3,4,8,6,1,7,2,5]=>[6,5,1,3,8,2,7,4]=>[1,1,3,2,1]=>11100101=>4 [4,7,6,2,3,5,8,1]=>[5,2,3,7,6,4,1,8]=>[1,3,1,1,2]=>11001110=>3 [4,7,1,6,2,5,8,3]=>[5,2,8,3,7,4,1,6]=>[1,2,2,1,2]=>11010110=>5 [5,4,1,8,2,6,7,3]=>[4,5,8,1,7,3,2,6]=>[3,2,1,2]=>10010110=>5 [2,7,6,1,5,3,4,8]=>[7,2,3,8,4,6,5,1]=>[1,3,2,1,1]=>11001011=>4 [2,7,1,4,6,5,8,3]=>[7,2,8,5,3,4,1,6]=>[1,2,1,2,2]=>11011010=>5 [6,3,5,7,8,4,1,2]=>[3,6,4,2,1,5,8,7]=>[2,1,1,3,1]=>10111001=>4 [7,6,3,5,4,8,2,1]=>[2,3,6,4,5,1,7,8]=>[3,2,3]=>10010100=>5 [4,2,6,8,3,7,5,1]=>[5,7,3,1,6,2,4,8]=>[2,1,2,3]=>10110100=>5 [5,4,8,1,3,6,2,7]=>[4,5,1,8,6,3,7,2]=>[2,2,1,2,1]=>10101101=>6 [3,4,2,5,7,1,6,8]=>[6,5,7,4,2,8,3,1]=>[1,2,1,2,1,1]=>11011011=>4 [3,2,4,6,1,7,5,8]=>[6,7,5,3,8,2,4,1]=>[2,1,2,2,1]=>10110101=>6 [3,7,6,2,1,5,4,8]=>[6,2,3,7,8,4,5,1]=>[1,4,2,1]=>11000101=>4 [2,6,8,3,4,1,5,7]=>[7,3,1,6,5,8,4,2]=>[1,1,2,2,1,1]=>11101011=>4 [3,1,6,5,8,4,2,7]=>[6,8,3,4,1,5,7,2]=>[2,2,3,1]=>10101001=>6 [2,7,1,4,8,5,3,6]=>[7,2,8,5,1,4,6,3]=>[1,2,1,3,1]=>11011001=>4 [5,1,3,8,6,4,7,2]=>[4,8,6,1,3,5,2,7]=>[2,1,3,2]=>10110010=>5 [1,5,6,7,4,2,8,3]=>[8,4,3,2,5,7,1,6]=>[1,1,1,3,2]=>11110010=>3 [6,1,7,8,3,5,4,2]=>[3,8,2,1,6,4,5,7]=>[2,1,2,3]=>10110100=>5 [6,4,1,3,5,7,8,2]=>[3,5,8,6,4,2,1,7]=>[3,1,1,1,2]=>10011110=>3 [4,3,5,7,8,6,1,2]=>[5,6,4,2,1,3,8,7]=>[2,1,1,3,1]=>10111001=>4 [7,2,1,3,6,4,5,8]=>[2,7,8,6,3,5,4,1]=>[3,1,2,1,1]=>10011011=>4 [7,4,3,6,1,5,8,2]=>[2,5,6,3,8,4,1,7]=>[3,2,1,2]=>10010110=>5 [6,2,1,3,5,7,8,4]=>[3,7,8,6,4,2,1,5]=>[3,1,1,1,2]=>10011110=>3 [2,3,7,6,1,4,5,8]=>[7,6,2,3,8,5,4,1]=>[1,1,3,1,1,1]=>11100111=>2 [7,8,2,1,3,5,6,4]=>[2,1,7,8,6,4,3,5]=>[1,3,1,1,2]=>11001110=>3 [3,6,2,1,5,7,8,4]=>[6,3,7,8,4,2,1,5]=>[1,3,1,1,2]=>11001110=>3 [7,2,4,1,5,6,3,8]=>[2,7,5,8,4,3,6,1]=>[2,2,1,2,1]=>10101101=>6 [3,1,2,5,7,6,8,4]=>[6,8,7,4,2,3,1,5]=>[2,1,1,2,2]=>10111010=>5 [5,1,7,3,2,6,8,4]=>[4,8,2,6,7,3,1,5]=>[2,3,1,2]=>10100110=>5 [4,8,2,3,7,5,1,6]=>[5,1,7,6,2,4,8,3]=>[1,2,1,3,1]=>11011001=>4 [8,7,2,4,3,5,6,1]=>[1,2,7,5,6,4,3,8]=>[3,2,1,2]=>10010110=>5 [8,1,2,4,7,3,5,6]=>[1,8,7,5,2,6,4,3]=>[2,1,1,2,1,1]=>10111011=>4 [8,2,6,4,3,7,1,5]=>[1,7,3,5,6,2,8,4]=>[2,3,2,1]=>10100101=>6 [2,4,3,6,1,5,7,8]=>[7,5,6,3,8,4,2,1]=>[1,2,2,1,1,1]=>11010111=>4 [8,7,3,4,2,1,6,5]=>[1,2,6,5,7,8,3,4]=>[3,3,2]=>10010010=>5 [2,1,5,7,4,6,3,8]=>[7,8,4,2,5,3,6,1]=>[2,1,2,2,1]=>10110101=>6 [8,2,3,5,7,6,1,4]=>[1,7,6,4,2,3,8,5]=>[2,1,1,3,1]=>10111001=>4 [5,4,8,6,1,3,7,2]=>[4,5,1,3,8,6,2,7]=>[2,3,1,2]=>10100110=>5 [8,4,5,6,7,1,3,2]=>[1,5,4,3,2,8,6,7]=>[2,1,1,2,2]=>10111010=>5 [7,2,6,4,1,5,8,3]=>[2,7,3,5,8,4,1,6]=>[2,3,1,2]=>10100110=>5 [5,2,7,1,6,3,8,4]=>[4,7,2,8,3,6,1,5]=>[2,2,2,2]=>10101010=>7 [1,7,2,5,3,6,8,4]=>[8,2,7,4,6,3,1,5]=>[1,2,2,1,2]=>11010110=>5 [7,4,6,3,2,5,1,8]=>[2,5,3,6,7,4,8,1]=>[2,3,2,1]=>10100101=>6 [6,2,5,7,1,8,3,4]=>[3,7,4,2,8,1,6,5]=>[2,1,2,2,1]=>10110101=>6 [4,1,3,5,7,2,6,8]=>[5,8,6,4,2,7,3,1]=>[2,1,1,2,1,1]=>10111011=>4 [4,1,8,2,7,6,5,3]=>[5,8,1,7,2,3,4,6]=>[2,2,4]=>10101000=>5 [1,5,8,4,3,6,2,7]=>[8,4,1,5,6,3,7,2]=>[1,1,3,2,1]=>11100101=>4 [1,5,2,6,7,4,8,3]=>[8,4,7,3,2,5,1,6]=>[1,2,1,2,2]=>11011010=>5 [6,1,7,3,2,5,4,8]=>[3,8,2,6,7,4,5,1]=>[2,3,2,1]=>10100101=>6 [1,6,5,3,8,7,4,2]=>[8,3,4,6,1,2,5,7]=>[1,3,4]=>11001000=>3 [4,1,7,5,6,8,2,3]=>[5,8,2,4,3,1,7,6]=>[2,2,1,2,1]=>10101101=>6 [7,8,2,3,1,4,6,5]=>[2,1,7,6,8,5,3,4]=>[1,2,2,1,2]=>11010110=>5 [6,2,3,8,1,4,7,5]=>[3,7,6,1,8,5,2,4]=>[2,1,2,1,2]=>10110110=>5 [5,2,7,6,1,4,8,3]=>[4,7,2,3,8,5,1,6]=>[2,3,1,2]=>10100110=>5 [3,7,6,2,1,4,5,8]=>[6,2,3,7,8,5,4,1]=>[1,4,1,1,1]=>11000111=>2 [4,2,1,6,7,5,8,3]=>[5,7,8,3,2,4,1,6]=>[3,1,2,2]=>10011010=>5 [5,1,7,6,4,3,8,2]=>[4,8,2,3,5,6,1,7]=>[2,4,2]=>10100010=>5 [1,5,8,3,7,2,4,6]=>[8,4,1,6,2,7,5,3]=>[1,1,2,2,1,1]=>11101011=>4 [5,8,2,6,7,3,1,4]=>[4,1,7,3,2,6,8,5]=>[1,2,1,3,1]=>11011001=>4 [4,7,2,3,6,1,5,8]=>[5,2,7,6,3,8,4,1]=>[1,2,1,2,1,1]=>11011011=>4 [5,1,3,7,6,8,2,4]=>[4,8,6,2,3,1,7,5]=>[2,1,2,2,1]=>10110101=>6 [1,6,8,7,2,5,4,3]=>[8,3,1,2,7,4,5,6]=>[1,1,3,3]=>11100100=>3 [4,2,3,6,1,7,5,8]=>[5,7,6,3,8,2,4,1]=>[2,1,2,2,1]=>10110101=>6 [5,3,1,6,7,2,8,4]=>[4,6,8,3,2,7,1,5]=>[3,1,2,2]=>10011010=>5 [4,1,8,5,3,7,6,2]=>[5,8,1,4,6,2,3,7]=>[2,3,3]=>10100100=>5 [3,8,4,5,2,6,1,7]=>[6,1,5,4,7,3,8,2]=>[1,2,2,2,1]=>11010101=>6 [5,1,6,8,7,4,3,2]=>[4,8,3,1,2,5,6,7]=>[2,1,5]=>10110000=>3 [3,8,2,4,5,6,1,7]=>[6,1,7,5,4,3,8,2]=>[1,2,1,1,2,1]=>11011101=>4 [1,2,4,3,6,9,8,7,5]=>[9,8,6,7,4,1,2,3,5]=>[1,1,2,1,4]=>111011000=>3 [8,1,6,3,7,5,2,4]=>[1,8,3,6,2,4,7,5]=>[2,2,3,1]=>10101001=>6 [4,5,8,6,2,3,1,7]=>[5,4,1,3,7,6,8,2]=>[1,1,3,2,1]=>11100101=>4 [5,4,7,1,8,2,3,6]=>[4,5,2,8,1,7,6,3]=>[2,2,2,1,1]=>10101011=>6 [5,1,3,6,2,8,4,7]=>[4,8,6,3,7,1,5,2]=>[2,1,2,2,1]=>10110101=>6 [4,3,2,7,6,8,1,5]=>[5,6,7,2,3,1,8,4]=>[3,2,2,1]=>10010101=>6 [4,8,3,2,1,6,5,7]=>[5,1,6,7,8,3,4,2]=>[1,4,2,1]=>11000101=>4 [1,4,3,2,7,5,6,8]=>[8,5,6,7,2,4,3,1]=>[1,3,2,1,1]=>11001011=>4 [4,3,2,8,6,7,1,5]=>[5,6,7,1,3,2,8,4]=>[3,2,2,1]=>10010101=>6 [4,3,1,2,5,7,8,6]=>[5,6,8,7,4,2,1,3]=>[3,1,1,1,2]=>10011110=>3 [2,5,3,6,1,4,8,7]=>[7,4,6,3,8,5,1,2]=>[1,2,2,1,2]=>11010110=>5 [3,4,2,1,5,8,6,7]=>[6,5,7,8,4,1,3,2]=>[1,3,1,2,1]=>11001101=>4 [2,5,3,7,1,4,8,6]=>[7,4,6,2,8,5,1,3]=>[1,2,2,1,2]=>11010110=>5 [2,5,3,6,1,7,8,4]=>[7,4,6,3,8,2,1,5]=>[1,2,2,1,2]=>11010110=>5 [5,4,3,1,7,6,8,2]=>[4,5,6,8,2,3,1,7]=>[4,2,2]=>10001010=>5 [4,5,2,7,1,8,3,6]=>[5,4,7,2,8,1,6,3]=>[1,2,2,2,1]=>11010101=>6 [6,5,2,8,7,4,1,3]=>[3,4,7,1,2,5,8,6]=>[3,4,1]=>10010001=>4 [3,1,8,4,5,2,7,6]=>[6,8,1,5,4,7,2,3]=>[2,2,2,2]=>10101010=>7 [4,8,5,2,1,3,7,6]=>[5,1,4,7,8,6,2,3]=>[1,4,1,2]=>11000110=>3 [5,8,4,2,1,3,7,6]=>[4,1,5,7,8,6,2,3]=>[1,4,1,2]=>11000110=>3 [9,8,7,6,5,3,1,4,2]=>[1,2,3,4,5,7,9,6,8]=>[7,2]=>100000010=>3 [9,7,1,8,6,5,4,3,2]=>[1,3,9,2,4,5,6,7,8]=>[3,6]=>100100000=>3 [4,6,7,5,2,3,1,8]=>[5,3,2,4,7,6,8,1]=>[1,1,3,2,1]=>11100101=>4 [6,2,5,3,1,8,7,4]=>[3,7,4,6,8,1,2,5]=>[2,3,3]=>10100100=>5 [6,4,5,3,8,7,1,2]=>[3,5,4,6,1,2,8,7]=>[2,2,3,1]=>10101001=>6 [1,6,4,5,8,7,3,2]=>[8,3,5,4,1,2,6,7]=>[1,2,1,4]=>11011000=>3 [8,4,7,5,2,3,1,6]=>[1,5,2,4,7,6,8,3]=>[2,3,2,1]=>10100101=>6 [8,2,7,4,5,3,1,6]=>[1,7,2,5,4,6,8,3]=>[2,2,3,1]=>10101001=>6 [8,2,6,7,5,3,1,4]=>[1,7,3,2,4,6,8,5]=>[2,1,4,1]=>10110001=>4 [6,4,5,8,7,3,1,2]=>[3,5,4,1,2,6,8,7]=>[2,1,4,1]=>10110001=>4 [6,2,8,7,5,3,1,4]=>[3,7,1,2,4,6,8,5]=>[2,5,1]=>10100001=>4 [4,6,5,3,8,7,1,2]=>[5,3,4,6,1,2,8,7]=>[1,3,3,1]=>11001001=>4 [6,8,7,4,5,3,1,2]=>[3,1,2,5,4,6,8,7]=>[1,3,3,1]=>11001001=>4 [2,8,4,7,5,3,1,6]=>[7,1,5,2,4,6,8,3]=>[1,2,4,1]=>11010001=>4 [6,5,8,4,7,2,1,3]=>[3,4,1,5,2,7,8,6]=>[2,2,3,1]=>10101001=>6 [8,1,6,2,5,7,3,4]=>[1,8,3,7,4,2,6,5]=>[2,2,1,2,1]=>10101101=>6 [6,8,1,2,4,7,3,5]=>[3,1,8,7,5,2,6,4]=>[1,2,1,1,2,1]=>11011101=>4 [8,1,5,3,2,7,4,6]=>[1,8,4,6,7,2,5,3]=>[2,3,2,1]=>10100101=>6 [5,2,8,6,1,4,7,3]=>[4,7,1,3,8,5,2,6]=>[2,3,1,2]=>10100110=>5 [8,6,1,3,4,7,2,5]=>[1,3,8,6,5,2,7,4]=>[3,1,1,2,1]=>10011101=>4 [6,1,2,8,3,7,5,4]=>[3,8,7,1,6,2,4,5]=>[2,1,2,3]=>10110100=>5 [8,7,2,5,3,4,1,6]=>[1,2,7,4,6,5,8,3]=>[3,2,2,1]=>10010101=>6 [4,6,2,3,8,7,1,5]=>[5,3,7,6,1,2,8,4]=>[1,2,1,3,1]=>11011001=>4 [6,7,4,2,8,5,1,3]=>[3,2,5,7,1,4,8,6]=>[1,3,3,1]=>11001001=>4 [6,4,2,8,5,7,1,3]=>[3,5,7,1,4,2,8,6]=>[3,2,2,1]=>10010101=>6 [8,3,7,6,2,5,4,1]=>[1,6,2,3,7,4,5,8]=>[2,3,3]=>10100100=>5 [8,6,1,2,5,4,7,3]=>[1,3,8,7,4,5,2,6]=>[3,1,2,2]=>10011010=>5 [8,7,1,2,5,6,4,3]=>[1,2,8,7,4,3,5,6]=>[3,1,1,3]=>10011100=>3 [4,6,1,3,5,8,2,7]=>[5,3,8,6,4,1,7,2]=>[1,2,1,1,2,1]=>11011101=>4 [4,5,1,3,8,7,2,6]=>[5,4,8,6,1,2,7,3]=>[1,2,1,3,1]=>11011001=>4 [6,4,5,8,1,7,2,3]=>[3,5,4,1,8,2,7,6]=>[2,1,2,2,1]=>10110101=>6 [6,2,8,5,1,4,7,3]=>[3,7,1,4,8,5,2,6]=>[2,3,1,2]=>10100110=>5 [2,4,7,6,1,8,3,5]=>[7,5,2,3,8,1,6,4]=>[1,1,3,2,1]=>11100101=>4 [7,4,5,8,6,3,2,1]=>[2,5,4,1,3,6,7,8]=>[2,1,5]=>10110000=>3 [9,7,5,3,8,6,4,1,2]=>[1,3,5,7,2,4,6,9,8]=>[4,4,1]=>100010001=>4 [9,6,7,8,5,4,3,2,1]=>[1,4,3,2,5,6,7,8,9]=>[2,1,6]=>101100000=>3 [5,3,6,4,7,1,8,2,9]=>[5,7,4,6,3,9,2,8,1]=>[2,2,2,2,1]=>101010101=>8 [7,6,5,9,4,3,2,1,8]=>[3,4,5,1,6,7,8,9,2]=>[3,5,1]=>100100001=>4 [7,6,5,4,3,9,2,1,8]=>[3,4,5,6,7,1,8,9,2]=>[5,3,1]=>100001001=>4 [7,1,3,4,5,2,6,8]=>[2,8,6,5,4,7,3,1]=>[2,1,1,2,1,1]=>10111011=>4 [2,7,3,6,5,8,4,1]=>[7,2,6,3,4,1,5,8]=>[1,2,2,3]=>11010100=>5 [1,6,7,5,3,2,8,4]=>[8,3,2,4,6,7,1,5]=>[1,1,4,2]=>11100010=>3 [7,3,4,6,1,8,2,5]=>[2,6,5,3,8,1,7,4]=>[2,1,2,2,1]=>10110101=>6 [3,7,4,1,2,8,6,5]=>[6,2,5,8,7,1,3,4]=>[1,3,1,3]=>11001100=>3 [3,7,4,1,2,6,8,5]=>[6,2,5,8,7,3,1,4]=>[1,3,1,1,2]=>11001110=>3 [5,7,1,2,4,6,8,3]=>[4,2,8,7,5,3,1,6]=>[1,2,1,1,1,2]=>11011110=>3 [5,6,7,8,4,3,2,1,9]=>[5,4,3,2,6,7,8,9,1]=>[1,1,1,5,1]=>111100001=>2 [1,6,8,5,7,4,3,2]=>[8,3,1,4,2,5,6,7]=>[1,1,2,4]=>11101000=>3 [3,8,1,2,4,7,6,5]=>[6,1,8,7,5,2,3,4]=>[1,2,1,1,3]=>11011100=>3 [1,4,5,7,3,6,8,2]=>[8,5,4,2,6,3,1,7]=>[1,1,1,2,1,2]=>11110110=>3 [4,6,8,7,1,5,3,2]=>[5,3,1,2,8,4,6,7]=>[1,1,3,3]=>11100100=>3 [1,3,8,7,5,2,6,4]=>[8,6,1,2,4,7,3,5]=>[1,1,4,2]=>11100010=>3 [8,7,6,4,1,3,5,2]=>[1,2,3,5,8,6,4,7]=>[5,1,2]=>10000110=>3 [3,2,1,6,4,5,8,7]=>[6,7,8,3,5,4,1,2]=>[3,2,1,2]=>10010110=>5 [3,2,4,5,7,1,8,6]=>[6,7,5,4,2,8,1,3]=>[2,1,1,2,2]=>10111010=>5 [3,2,4,6,1,7,8,5]=>[6,7,5,3,8,2,1,4]=>[2,1,2,1,2]=>10110110=>5 [3,2,4,6,1,8,5,7]=>[6,7,5,3,8,1,4,2]=>[2,1,2,2,1]=>10110101=>6 [1,4,5,7,3,6,2,8]=>[8,5,4,2,6,3,7,1]=>[1,1,1,2,2,1]=>11110101=>4 [3,6,2,4,7,5,8,1]=>[6,3,7,5,2,4,1,8]=>[1,2,1,2,2]=>11011010=>5 [3,1,8,4,6,2,5,7]=>[6,8,1,5,3,7,4,2]=>[2,2,2,1,1]=>10101011=>6 [4,2,7,3,5,8,1,6]=>[5,7,2,6,4,1,8,3]=>[2,2,1,2,1]=>10101101=>6 [4,2,7,8,6,3,1,5]=>[5,7,2,1,3,6,8,4]=>[2,1,4,1]=>10110001=>4 [7,1,4,2,8,6,3,5]=>[2,8,5,7,1,3,6,4]=>[2,2,3,1]=>10101001=>6 [7,1,3,6,8,4,5,2]=>[2,8,6,3,1,5,4,7]=>[2,1,1,2,2]=>10111010=>5 [7,4,3,1,2,6,8,5]=>[2,5,6,8,7,3,1,4]=>[4,1,1,2]=>10001110=>3 [1,6,3,5,8,7,4,2]=>[8,3,6,4,1,2,5,7]=>[1,2,1,4]=>11011000=>3 [8,4,6,3,5,1,7,2]=>[1,5,3,6,4,8,2,7]=>[2,2,2,2]=>10101010=>7 [7,3,2,6,8,4,5,1]=>[2,6,7,3,1,5,4,8]=>[3,1,2,2]=>10011010=>5 [2,4,5,7,1,6,8,3]=>[7,5,4,2,8,3,1,6]=>[1,1,1,2,1,2]=>11110110=>3 [8,4,2,6,7,3,5,1]=>[1,5,7,3,2,6,4,8]=>[3,1,2,2]=>10011010=>5 [1,4,2,7,5,6,3,8]=>[8,5,7,2,4,3,6,1]=>[1,2,2,2,1]=>11010101=>6 [8,1,7,6,3,5,2,4]=>[1,8,2,3,6,4,7,5]=>[2,3,2,1]=>10100101=>6 [4,3,2,8,7,5,6,1]=>[5,6,7,1,2,4,3,8]=>[3,3,2]=>10010010=>5 [1,3,8,7,4,5,2,6]=>[8,6,1,2,5,4,7,3]=>[1,1,3,2,1]=>11100101=>4 [7,1,2,4,6,3,5,8]=>[2,8,7,5,3,6,4,1]=>[2,1,1,2,1,1]=>10111011=>4 [1,6,5,2,4,3,7,8]=>[8,3,4,7,5,6,2,1]=>[1,3,2,1,1]=>11001011=>4 [1,6,5,3,4,7,2,8]=>[8,3,4,6,5,2,7,1]=>[1,3,1,2,1]=>11001101=>4 [6,1,3,5,4,7,2,8]=>[3,8,6,4,5,2,7,1]=>[2,1,2,2,1]=>10110101=>6 [4,1,5,7,8,6,2,3]=>[5,8,4,2,1,3,7,6]=>[2,1,1,3,1]=>10111001=>4 [6,1,4,8,2,3,7,5]=>[3,8,5,1,7,6,2,4]=>[2,1,2,1,2]=>10110110=>5 [7,6,2,3,5,8,4,1]=>[2,3,7,6,4,1,5,8]=>[3,1,1,3]=>10011100=>3 [2,5,7,8,6,4,1,3]=>[7,4,2,1,3,5,8,6]=>[1,1,1,4,1]=>11110001=>2 [8,7,4,6,2,5,3,1]=>[1,2,5,3,7,4,6,8]=>[3,2,3]=>10010100=>5 [8,1,7,4,6,5,2,3]=>[1,8,2,5,3,4,7,6]=>[2,2,3,1]=>10101001=>6 [8,4,1,7,6,2,5,3]=>[1,5,8,2,3,7,4,6]=>[3,3,2]=>10010010=>5 [9,7,5,4,8,3,6,1,2]=>[1,3,5,6,2,7,4,9,8]=>[4,2,2,1]=>100010101=>6 [9,7,6,5,4,3,8,1,2]=>[1,3,4,5,6,7,2,9,8]=>[6,2,1]=>100000101=>4 [6,1,7,4,8,5,2,3]=>[3,8,2,5,1,4,7,6]=>[2,2,3,1]=>10101001=>6 [8,2,4,6,3,1,7,5]=>[1,7,5,3,6,8,2,4]=>[2,1,3,2]=>10110010=>5 [7,4,1,8,6,2,5,3]=>[2,5,8,1,3,7,4,6]=>[3,3,2]=>10010010=>5 [1,8,6,2,7,5,3,4]=>[8,1,3,7,2,4,6,5]=>[1,3,3,1]=>11001001=>4 [2,8,5,1,7,6,3,4]=>[7,1,4,8,2,3,6,5]=>[1,3,3,1]=>11001001=>4 [4,8,7,1,6,2,5,3]=>[5,1,2,8,3,7,4,6]=>[1,3,2,2]=>11001010=>5 [5,2,8,6,4,3,1,7]=>[4,7,1,3,5,6,8,2]=>[2,5,1]=>10100001=>4 [1,8,3,7,5,4,2,6]=>[8,1,6,2,4,5,7,3]=>[1,2,4,1]=>11010001=>4 [3,8,7,1,6,2,4,5]=>[6,1,2,8,3,7,5,4]=>[1,3,2,1,1]=>11001011=>4 [2,8,4,3,1,7,5,6]=>[7,1,5,6,8,2,4,3]=>[1,4,2,1]=>11000101=>4 [7,3,6,8,5,4,2,1]=>[2,6,3,1,4,5,7,8]=>[2,1,5]=>10110000=>3 [5,6,2,4,8,7,3,1]=>[4,3,7,5,1,2,6,8]=>[1,2,1,4]=>11011000=>3 [3,6,5,8,4,1,2,7]=>[6,3,4,1,5,8,7,2]=>[1,2,3,1,1]=>11010011=>4 [8,5,6,2,3,7,4,1]=>[1,4,3,7,6,2,5,8]=>[2,2,1,3]=>10101100=>5 [7,8,1,4,5,6,2,3]=>[2,1,8,5,4,3,7,6]=>[1,2,1,1,2,1]=>11011101=>4 [7,8,9,1,6,5,4,3,2]=>[3,2,1,9,4,5,6,7,8]=>[1,1,2,5]=>111010000=>3 [8,3,1,2,5,4,7,6]=>[1,6,8,7,4,5,2,3]=>[3,1,2,2]=>10011010=>5 [1,2,6,7,8,3,5,4]=>[8,7,3,2,1,6,4,5]=>[1,1,1,1,2,2]=>11111010=>3 [7,1,2,6,5,8,3,4]=>[2,8,7,3,4,1,6,5]=>[2,1,2,2,1]=>10110101=>6 [2,7,1,4,5,6,8,3]=>[7,2,8,5,4,3,1,6]=>[1,2,1,1,1,2]=>11011110=>3 [5,4,7,8,6,2,3,1]=>[4,5,2,1,3,7,6,8]=>[2,1,3,2]=>10110010=>5 [7,4,8,3,5,6,2,1]=>[2,5,1,6,4,3,7,8]=>[2,2,1,3]=>10101100=>5 [3,1,5,7,2,6,8,4]=>[6,8,4,2,7,3,1,5]=>[2,1,2,1,2]=>10110110=>5 [3,1,7,5,2,6,8,4]=>[6,8,2,4,7,3,1,5]=>[2,3,1,2]=>10100110=>5 [3,2,7,5,1,6,8,4]=>[6,7,2,4,8,3,1,5]=>[2,3,1,2]=>10100110=>5 [5,2,7,3,1,6,8,4]=>[4,7,2,6,8,3,1,5]=>[2,3,1,2]=>10100110=>5 [4,6,3,1,2,7,8,5]=>[5,3,6,8,7,2,1,4]=>[1,3,1,1,2]=>11001110=>3 [5,3,4,6,8,1,7,2]=>[4,6,5,3,1,8,2,7]=>[2,1,1,2,2]=>10111010=>5 [4,5,6,8,2,7,1,3]=>[5,4,3,1,7,2,8,6]=>[1,1,1,2,2,1]=>11110101=>4 [1,7,2,5,8,4,6,3]=>[8,2,7,4,1,5,3,6]=>[1,2,1,2,2]=>11011010=>5 [4,7,1,3,8,5,2,6]=>[5,2,8,6,1,4,7,3]=>[1,2,1,3,1]=>11011001=>4 [2,5,3,8,7,1,4,6]=>[7,4,6,1,2,8,5,3]=>[1,2,3,1,1]=>11010011=>4 [5,1,3,7,6,8,4,2]=>[4,8,6,2,3,1,5,7]=>[2,1,2,3]=>10110100=>5 [8,2,6,4,3,1,5,7]=>[1,7,3,5,6,8,4,2]=>[2,4,1,1]=>10100011=>4 [2,3,8,1,5,4,6,7]=>[7,6,1,8,4,5,3,2]=>[1,1,2,2,1,1]=>11101011=>4 [2,3,4,6,9,5,7,8,1]=>[8,7,6,4,1,5,3,2,9]=>[1,1,1,1,2,1,2]=>111110110=>3 [2,3,5,6,8,4,7,1]=>[7,6,4,3,1,5,2,8]=>[1,1,1,1,2,2]=>11111010=>3 [2,4,5,8,3,6,7,1]=>[7,5,4,1,6,3,2,8]=>[1,1,1,2,1,2]=>11110110=>3 [3,1,6,4,2,7,5,8]=>[6,8,3,5,7,2,4,1]=>[2,3,2,1]=>10100101=>6 [4,1,7,5,3,6,8,2]=>[5,8,2,4,6,3,1,7]=>[2,3,1,2]=>10100110=>5 [7,3,8,5,1,6,2,4]=>[2,6,1,4,8,3,7,5]=>[2,3,2,1]=>10100101=>6 [4,6,3,1,2,5,8,7]=>[5,3,6,8,7,4,1,2]=>[1,3,1,1,2]=>11001110=>3 [1,6,5,3,4,2,7,8]=>[8,3,4,6,5,7,2,1]=>[1,3,2,1,1]=>11001011=>4 [8,1,6,5,4,2,3,7]=>[1,8,3,4,5,7,6,2]=>[2,4,1,1]=>10100011=>4 [5,7,3,6,2,4,8,1]=>[4,2,6,3,7,5,1,8]=>[1,2,2,1,2]=>11010110=>5 [2,3,7,1,4,6,8,5]=>[7,6,2,8,5,3,1,4]=>[1,1,2,1,1,2]=>11101110=>3 [2,6,5,1,7,4,8,3]=>[7,3,4,8,2,5,1,6]=>[1,3,2,2]=>11001010=>5 [5,7,1,6,2,4,8,3]=>[4,2,8,3,7,5,1,6]=>[1,2,2,1,2]=>11010110=>5 [6,1,2,4,7,5,8,3]=>[3,8,7,5,2,4,1,6]=>[2,1,1,2,2]=>10111010=>5 [4,6,1,7,5,3,8,2]=>[5,3,8,2,4,6,1,7]=>[1,2,3,2]=>11010010=>5 [4,5,8,7,6,3,1,2]=>[5,4,1,2,3,6,8,7]=>[1,1,5,1]=>11100001=>2 [8,7,4,6,5,3,1,2]=>[1,2,5,3,4,6,8,7]=>[3,4,1]=>10010001=>4 [5,2,8,3,6,1,7,4]=>[4,7,1,6,3,8,2,5]=>[2,2,2,2]=>10101010=>7 [8,1,4,3,6,2,5,7]=>[1,8,5,6,3,7,4,2]=>[2,2,2,1,1]=>10101011=>6 [5,2,3,6,8,1,4,7]=>[4,7,6,3,1,8,5,2]=>[2,1,1,2,1,1]=>10111011=>4 [4,5,7,8,2,3,1,6]=>[5,4,2,1,7,6,8,3]=>[1,1,1,2,2,1]=>11110101=>4 [6,7,1,2,4,3,5,8]=>[3,2,8,7,5,6,4,1]=>[1,2,1,2,1,1]=>11011011=>4 [5,3,7,2,1,6,4,8]=>[4,6,2,7,8,3,5,1]=>[2,3,2,1]=>10100101=>6 [7,1,2,8,6,3,4,5]=>[2,8,7,1,3,6,5,4]=>[2,1,3,1,1]=>10110011=>4 [8,7,1,3,5,6,4,2]=>[1,2,8,6,4,3,5,7]=>[3,1,1,3]=>10011100=>3 [8,1,4,6,7,5,3,2]=>[1,8,5,3,2,4,6,7]=>[2,1,1,4]=>10111000=>3 [4,6,8,1,7,5,3,2]=>[5,3,1,8,2,4,6,7]=>[1,1,2,4]=>11101000=>3 [8,1,5,7,6,4,3,2]=>[1,8,4,2,3,5,6,7]=>[2,1,5]=>10110000=>3 [6,1,5,7,4,2,3,8]=>[3,8,4,2,5,7,6,1]=>[2,1,3,1,1]=>10110011=>4 [1,4,7,8,3,6,5,2]=>[8,5,2,1,6,3,4,7]=>[1,1,1,2,3]=>11110100=>3 [4,7,1,3,5,2,8,6]=>[5,2,8,6,4,7,1,3]=>[1,2,1,2,2]=>11011010=>5 [5,3,8,4,6,7,2,1]=>[4,6,1,5,3,2,7,8]=>[2,2,1,3]=>10101100=>5 [4,3,5,8,6,7,2,1]=>[5,6,4,1,3,2,7,8]=>[2,1,2,3]=>10110100=>5 [4,7,3,8,5,6,2,1]=>[5,2,6,1,4,3,7,8]=>[1,2,2,3]=>11010100=>5 [7,1,4,8,5,6,3,2]=>[2,8,5,1,4,3,6,7]=>[2,1,2,3]=>10110100=>5 [1,7,3,8,6,4,5,2]=>[8,2,6,1,3,5,4,7]=>[1,2,3,2]=>11010010=>5 [7,4,2,8,5,6,3,1]=>[2,5,7,1,4,3,6,8]=>[3,2,3]=>10010100=>5 [3,4,8,2,6,7,5,1]=>[6,5,1,7,3,2,4,8]=>[1,1,2,1,3]=>11101100=>3 [1,6,3,8,7,4,5,2]=>[8,3,6,1,2,5,4,7]=>[1,2,3,2]=>11010010=>5 [1,4,5,8,7,6,2,3]=>[8,5,4,1,2,3,7,6]=>[1,1,1,4,1]=>11110001=>2 [5,2,1,3,8,4,6,7]=>[4,7,8,6,1,5,3,2]=>[3,1,2,1,1]=>10011011=>4 [1,4,3,5,8,2,6,7]=>[8,5,6,4,1,7,3,2]=>[1,2,1,2,1,1]=>11011011=>4 [2,1,3,8,6,4,5,7]=>[7,8,6,1,3,5,4,2]=>[2,1,3,1,1]=>10110011=>4 [1,3,6,4,5,8,2,7]=>[8,6,3,5,4,1,7,2]=>[1,1,2,1,2,1]=>11101101=>4 [6,1,4,3,5,8,2,7]=>[3,8,5,6,4,1,7,2]=>[2,2,1,2,1]=>10101101=>6 [6,5,1,3,8,2,4,7]=>[3,4,8,6,1,7,5,2]=>[3,1,2,1,1]=>10011011=>4 [8,3,5,6,2,1,7,4]=>[1,6,4,3,7,8,2,5]=>[2,1,3,2]=>10110010=>5 [3,5,8,7,6,1,4,2]=>[6,4,1,2,3,8,5,7]=>[1,1,4,2]=>11100010=>3 [7,1,5,4,6,3,8,2]=>[2,8,4,5,3,6,1,7]=>[2,2,2,2]=>10101010=>7 [7,3,6,5,4,8,2,1]=>[2,6,3,4,5,1,7,8]=>[2,3,3]=>10100100=>5 [3,7,6,1,4,8,5,2]=>[6,2,3,8,5,1,4,7]=>[1,3,1,3]=>11001100=>3 [8,4,7,1,5,6,2,3]=>[1,5,2,8,4,3,7,6]=>[2,2,1,2,1]=>10101101=>6 [2,5,3,1,4,6,7,8]=>[7,4,6,8,5,3,2,1]=>[1,3,1,1,1,1]=>11001111=>2 [2,7,8,3,6,1,5,4]=>[7,2,1,6,3,8,4,5]=>[1,1,2,2,2]=>11101010=>5 [1,7,8,3,6,2,5,4]=>[8,2,1,6,3,7,4,5]=>[1,1,2,2,2]=>11101010=>5 [7,4,3,5,8,1,6,2]=>[2,5,6,4,1,8,3,7]=>[3,1,2,2]=>10011010=>5 [7,1,6,4,3,8,5,2]=>[2,8,3,5,6,1,4,7]=>[2,3,3]=>10100100=>5 [8,7,3,4,1,5,2,6]=>[1,2,6,5,8,4,7,3]=>[3,2,2,1]=>10010101=>6 [7,2,6,4,3,8,5,1]=>[2,7,3,5,6,1,4,8]=>[2,3,3]=>10100100=>5 [1,7,5,4,3,8,2,6]=>[8,2,4,5,6,1,7,3]=>[1,4,2,1]=>11000101=>4 [7,4,5,1,8,2,6,3]=>[2,5,4,8,1,7,3,6]=>[2,2,2,2]=>10101010=>7 [6,3,1,2,8,5,4,7]=>[3,6,8,7,1,4,5,2]=>[3,1,3,1]=>10011001=>4 [1,6,4,8,5,2,3,7]=>[8,3,5,1,4,7,6,2]=>[1,2,3,1,1]=>11010011=>4 [7,2,8,5,3,6,1,4]=>[2,7,1,4,6,3,8,5]=>[2,3,2,1]=>10100101=>6 [5,8,6,4,2,7,1,3]=>[4,1,3,5,7,2,8,6]=>[1,4,2,1]=>11000101=>4 [7,1,5,3,8,2,4,6]=>[2,8,4,6,1,7,5,3]=>[2,2,2,1,1]=>10101011=>6 [1,3,8,7,6,4,5,2]=>[8,6,1,2,3,5,4,7]=>[1,1,4,2]=>11100010=>3 [1,6,4,5,2,8,3,7]=>[8,3,5,4,7,1,6,2]=>[1,2,2,2,1]=>11010101=>6 [2,8,3,4,6,7,1,5]=>[7,1,6,5,3,2,8,4]=>[1,2,1,1,2,1]=>11011101=>4 [7,2,3,4,6,1,5,8]=>[2,7,6,5,3,8,4,1]=>[2,1,1,2,1,1]=>10111011=>4 [4,5,1,6,3,8,7,2]=>[5,4,8,3,6,1,2,7]=>[1,2,2,3]=>11010100=>5 [7,2,1,6,3,8,4,5]=>[2,7,8,3,6,1,5,4]=>[3,2,2,1]=>10010101=>6 [4,5,8,1,7,3,2,6]=>[5,4,1,8,2,6,7,3]=>[1,1,2,3,1]=>11101001=>4 [4,6,7,1,3,8,2,5]=>[5,3,2,8,6,1,7,4]=>[1,1,2,1,2,1]=>11101101=>4 [2,6,3,1,4,7,8,5]=>[7,3,6,8,5,2,1,4]=>[1,3,1,1,2]=>11001110=>3 [4,8,7,1,5,6,2,3]=>[5,1,2,8,4,3,7,6]=>[1,3,1,2,1]=>11001101=>4 [8,6,3,7,4,5,2,1]=>[1,3,6,2,5,4,7,8]=>[3,2,3]=>10010100=>5 [7,4,3,6,8,5,2,1]=>[2,5,6,3,1,4,7,8]=>[3,1,4]=>10011000=>3 [7,2,6,8,5,3,4,1]=>[2,7,3,1,4,6,5,8]=>[2,1,3,2]=>10110010=>5 [7,8,2,6,5,3,4,1]=>[2,1,7,3,4,6,5,8]=>[1,2,3,2]=>11010010=>5 [2,6,7,8,3,5,4,1]=>[7,3,2,1,6,4,5,8]=>[1,1,1,2,3]=>11110100=>3 [8,6,4,5,1,3,7,2]=>[1,3,5,4,8,6,2,7]=>[3,2,1,2]=>10010110=>5 [7,4,8,5,3,6,1,2]=>[2,5,1,4,6,3,8,7]=>[2,3,2,1]=>10100101=>6 [8,4,6,5,1,3,7,2]=>[1,5,3,4,8,6,2,7]=>[2,3,1,2]=>10100110=>5 [4,5,3,8,7,1,2,6]=>[5,4,6,1,2,8,7,3]=>[1,2,3,1,1]=>11010011=>4 [8,5,4,7,6,1,2,3]=>[1,4,5,2,3,8,7,6]=>[3,3,1,1]=>10010011=>4 [7,5,8,2,4,3,1,6]=>[2,4,1,7,5,6,8,3]=>[2,2,3,1]=>10101001=>6 [4,7,8,6,1,5,3,2]=>[5,2,1,3,8,4,6,7]=>[1,1,3,3]=>11100100=>3 [8,2,1,6,4,3,7,5]=>[1,7,8,3,5,6,2,4]=>[3,3,2]=>10010010=>5 [4,8,2,1,6,5,3,7]=>[5,1,7,8,3,4,6,2]=>[1,3,3,1]=>11001001=>4 [4,6,2,1,8,5,3,7]=>[5,3,7,8,1,4,6,2]=>[1,3,3,1]=>11001001=>4 [7,1,3,8,2,4,6,5]=>[2,8,6,1,7,5,3,4]=>[2,1,2,1,2]=>10110110=>5 [7,2,3,6,4,1,8,5]=>[2,7,6,3,5,8,1,4]=>[2,1,3,2]=>10110010=>5 [6,5,2,4,1,8,3,7]=>[3,4,7,5,8,1,6,2]=>[3,2,2,1]=>10010101=>6 [5,7,2,4,1,3,8,6]=>[4,2,7,5,8,6,1,3]=>[1,2,2,1,2]=>11010110=>5 [6,2,5,4,1,8,3,7]=>[3,7,4,5,8,1,6,2]=>[2,3,2,1]=>10100101=>6 [4,2,6,3,5,8,1,7]=>[5,7,3,6,4,1,8,2]=>[2,2,1,2,1]=>10101101=>6 [2,7,8,6,3,5,1,4]=>[7,2,1,3,6,4,8,5]=>[1,1,3,2,1]=>11100101=>4 [8,5,3,1,4,7,6,2]=>[1,4,6,8,5,2,3,7]=>[4,1,3]=>10001100=>3 [8,4,1,2,3,7,6,5]=>[1,5,8,7,6,2,3,4]=>[3,1,1,3]=>10011100=>3 [8,4,1,5,3,7,6,2]=>[1,5,8,4,6,2,3,7]=>[3,2,3]=>10010100=>5 [8,3,1,4,2,7,6,5]=>[1,6,8,5,7,2,3,4]=>[3,2,3]=>10010100=>5 [2,5,8,7,3,1,6,4]=>[7,4,1,2,6,8,3,5]=>[1,1,4,2]=>11100010=>3 [7,9,1,8,6,5,4,3,2]=>[3,1,9,2,4,5,6,7,8]=>[1,2,6]=>110100000=>3 [8,1,2,5,4,3,7,6]=>[1,8,7,4,5,6,2,3]=>[2,1,3,2]=>10110010=>5 [8,6,2,1,4,5,7,3]=>[1,3,7,8,5,4,2,6]=>[4,1,1,2]=>10001110=>3 [7,2,1,8,4,3,6,5]=>[2,7,8,1,5,6,3,4]=>[3,3,2]=>10010010=>5 [6,7,2,1,4,5,8,3]=>[3,2,7,8,5,4,1,6]=>[1,3,1,1,2]=>11001110=>3 [1,7,2,5,6,4,8,3]=>[8,2,7,4,3,5,1,6]=>[1,2,1,2,2]=>11011010=>5 [7,4,2,6,8,5,3,1]=>[2,5,7,3,1,4,6,8]=>[3,1,4]=>10011000=>3 [8,5,2,4,6,3,1,7]=>[1,4,7,5,3,6,8,2]=>[3,1,3,1]=>10011001=>4 [7,4,1,2,8,5,6,3]=>[2,5,8,7,1,4,3,6]=>[3,1,2,2]=>10011010=>5 [8,4,1,6,3,5,2,7]=>[1,5,8,3,6,4,7,2]=>[3,2,2,1]=>10010101=>6 [7,3,4,1,6,8,5,2]=>[2,6,5,8,3,1,4,7]=>[2,2,1,3]=>10101100=>5 [8,6,2,3,5,7,4,1]=>[1,3,7,6,4,2,5,8]=>[3,1,1,3]=>10011100=>3 [6,3,4,8,5,1,2,7]=>[3,6,5,1,4,8,7,2]=>[2,1,3,1,1]=>10110011=>4 [8,5,1,2,7,4,6,3]=>[1,4,8,7,2,5,3,6]=>[3,1,2,2]=>10011010=>5 [7,2,6,8,3,4,5,1]=>[2,7,3,1,6,5,4,8]=>[2,1,2,1,2]=>10110110=>5 [3,5,8,4,6,2,7,1]=>[6,4,1,5,3,7,2,8]=>[1,1,2,2,2]=>11101010=>5 [3,5,8,4,2,7,6,1]=>[6,4,1,5,7,2,3,8]=>[1,1,3,3]=>11100100=>3 [7,4,6,2,5,3,8,1]=>[2,5,3,7,4,6,1,8]=>[2,2,2,2]=>10101010=>7 [7,4,3,8,6,5,1,2]=>[2,5,6,1,3,4,8,7]=>[3,4,1]=>10010001=>4 [7,2,6,5,8,3,1,4]=>[2,7,3,4,1,6,8,5]=>[2,2,3,1]=>10101001=>6 [1,8,5,4,2,6,3,7]=>[8,1,4,5,7,3,6,2]=>[1,4,2,1]=>11000101=>4 [2,9,8,5,7,6,4,3,1]=>[8,1,2,5,3,4,6,7,9]=>[1,3,5]=>110010000=>3 [5,4,2,6,8,3,1,7]=>[4,5,7,3,1,6,8,2]=>[3,1,3,1]=>10011001=>4 [8,9,7,6,5,4,1,3,2]=>[2,1,3,4,5,6,9,7,8]=>[1,6,2]=>110000010=>3 [8,7,9,6,5,4,1,3,2]=>[2,3,1,4,5,6,9,7,8]=>[2,5,2]=>101000010=>5 [3,5,6,7,4,8,1,2]=>[6,4,3,2,5,1,8,7]=>[1,1,1,2,2,1]=>11110101=>4 [8,2,4,5,1,3,6,7]=>[1,7,5,4,8,6,3,2]=>[2,1,2,1,1,1]=>10110111=>4 [6,3,5,8,1,2,7,4]=>[3,6,4,1,8,7,2,5]=>[2,1,2,1,2]=>10110110=>5 [2,3,8,5,4,6,1,7]=>[7,6,1,4,5,3,8,2]=>[1,1,3,2,1]=>11100101=>4 [8,3,5,7,1,4,6,2]=>[1,6,4,2,8,5,3,7]=>[2,1,2,1,2]=>10110110=>5 [2,7,3,4,6,1,8,5]=>[7,2,6,5,3,8,1,4]=>[1,2,1,2,2]=>11011010=>5 [7,3,5,4,1,8,2,6]=>[2,6,4,5,8,1,7,3]=>[2,3,2,1]=>10100101=>6 [8,4,3,5,1,6,2,7]=>[1,5,6,4,8,3,7,2]=>[3,2,2,1]=>10010101=>6 [1,3,2,4,5,6,9,7,8]=>[9,7,8,6,5,4,1,3,2]=>[1,2,1,1,1,2,1]=>110111101=>4 [2,3,1,4,5,6,9,7,8]=>[8,7,9,6,5,4,1,3,2]=>[1,2,1,1,1,2,1]=>110111101=>4 [6,8,7,1,4,5,3,2]=>[3,1,2,8,5,4,6,7]=>[1,3,1,3]=>11001100=>3 [8,1,3,6,4,7,5,2]=>[1,8,6,3,5,2,4,7]=>[2,1,2,3]=>10110100=>5 [6,8,7,1,2,5,4,3]=>[3,1,2,8,7,4,5,6]=>[1,3,1,3]=>11001100=>3 [4,7,2,5,6,1,3,8]=>[5,2,7,4,3,8,6,1]=>[1,2,1,2,1,1]=>11011011=>4 [8,3,5,4,1,2,6,7]=>[1,6,4,5,8,7,3,2]=>[2,3,1,1,1]=>10100111=>4 [7,1,3,5,4,2,6,8]=>[2,8,6,4,5,7,3,1]=>[2,1,3,1,1]=>10110011=>4 [5,3,1,7,6,2,4,8]=>[4,6,8,2,3,7,5,1]=>[3,3,1,1]=>10010011=>4 [7,5,1,6,2,4,3,8]=>[2,4,8,3,7,5,6,1]=>[3,2,2,1]=>10010101=>6 [5,8,6,1,2,4,3,7]=>[4,1,3,8,7,5,6,2]=>[1,3,1,2,1]=>11001101=>4 [4,1,5,7,3,6,8,2]=>[5,8,4,2,6,3,1,7]=>[2,1,2,1,2]=>10110110=>5 [1,4,5,7,6,8,2,3]=>[8,5,4,2,3,1,7,6]=>[1,1,1,2,2,1]=>11110101=>4 [3,6,1,8,7,4,5,2]=>[6,3,8,1,2,5,4,7]=>[1,2,3,2]=>11010010=>5 [4,2,7,5,1,6,3,8]=>[5,7,2,4,8,3,6,1]=>[2,3,2,1]=>10100101=>6 [4,1,3,5,7,6,8,2]=>[5,8,6,4,2,3,1,7]=>[2,1,1,2,2]=>10111010=>5 [5,7,6,1,4,2,3,8]=>[4,2,3,8,5,7,6,1]=>[1,3,2,1,1]=>11001011=>4 [4,8,7,5,2,1,6,3]=>[5,1,2,4,7,8,3,6]=>[1,5,2]=>11000010=>3 [3,7,1,2,6,4,5,8]=>[6,2,8,7,3,5,4,1]=>[1,2,1,2,1,1]=>11011011=>4 [4,1,7,6,3,5,8,2]=>[5,8,2,3,6,4,1,7]=>[2,3,1,2]=>10100110=>5 [7,5,6,2,1,4,3,8]=>[2,4,3,7,8,5,6,1]=>[2,3,2,1]=>10100101=>6 [6,5,1,4,7,2,8,3]=>[3,4,8,5,2,7,1,6]=>[3,1,2,2]=>10011010=>5 [6,5,1,3,7,4,8,2]=>[3,4,8,6,2,5,1,7]=>[3,1,2,2]=>10011010=>5 [4,7,1,3,5,6,8,2]=>[5,2,8,6,4,3,1,7]=>[1,2,1,1,1,2]=>11011110=>3 [4,3,5,7,8,2,6,1]=>[5,6,4,2,1,7,3,8]=>[2,1,1,2,2]=>10111010=>5 [7,1,6,2,5,8,4,3]=>[2,8,3,7,4,1,5,6]=>[2,2,1,3]=>10101100=>5 [8,5,1,3,4,6,2,7]=>[1,4,8,6,5,3,7,2]=>[3,1,1,2,1]=>10011101=>4 [4,6,3,1,2,8,5,7]=>[5,3,6,8,7,1,4,2]=>[1,3,1,2,1]=>11001101=>4 [4,6,1,8,2,7,3,5]=>[5,3,8,1,7,2,6,4]=>[1,2,2,2,1]=>11010101=>6 [7,2,4,8,1,6,5,3]=>[2,7,5,1,8,3,4,6]=>[2,1,2,3]=>10110100=>5 [4,1,6,7,3,5,2,8]=>[5,8,3,2,6,4,7,1]=>[2,1,2,2,1]=>10110101=>6 [2,5,1,4,7,6,3,8]=>[7,4,8,5,2,3,6,1]=>[1,2,1,3,1]=>11011001=>4 [4,7,5,1,6,2,3,8]=>[5,2,4,8,3,7,6,1]=>[1,3,2,1,1]=>11001011=>4 [3,8,1,4,6,2,7,5]=>[6,1,8,5,3,7,2,4]=>[1,2,1,2,2]=>11011010=>5 [3,8,7,4,2,5,1,6]=>[6,1,2,5,7,4,8,3]=>[1,4,2,1]=>11000101=>4 [5,3,2,7,6,4,1,8]=>[4,6,7,2,3,5,8,1]=>[3,4,1]=>10010001=>4 [5,7,3,2,1,8,6,4]=>[4,2,6,7,8,1,3,5]=>[1,4,3]=>11000100=>3 [5,7,6,3,2,1,8,4]=>[4,2,3,6,7,8,1,5]=>[1,5,2]=>11000010=>3 [1,7,3,5,4,2,6,8]=>[8,2,6,4,5,7,3,1]=>[1,2,3,1,1]=>11010011=>4 [5,3,7,4,1,8,6,2]=>[4,6,2,5,8,1,3,7]=>[2,3,3]=>10100100=>5 [7,3,5,4,1,6,8,2]=>[2,6,4,5,8,3,1,7]=>[2,3,1,2]=>10100110=>5 [7,5,1,6,8,3,2,4]=>[2,4,8,3,1,6,7,5]=>[3,1,3,1]=>10011001=>4 [5,3,1,7,6,8,2,4]=>[4,6,8,2,3,1,7,5]=>[3,2,2,1]=>10010101=>6 [1,3,6,2,5,4,7,8]=>[8,6,3,7,4,5,2,1]=>[1,1,2,2,1,1]=>11101011=>4 [6,2,5,7,3,4,1,8]=>[3,7,4,2,6,5,8,1]=>[2,1,2,2,1]=>10110101=>6 [8,6,2,3,7,4,5,1]=>[1,3,7,6,2,5,4,8]=>[3,1,2,2]=>10011010=>5 [8,4,2,5,3,6,1,7]=>[1,5,7,4,6,3,8,2]=>[3,2,2,1]=>10010101=>6 [8,3,4,1,7,6,2,5]=>[1,6,5,8,2,3,7,4]=>[2,2,3,1]=>10101001=>6 [4,8,6,1,5,2,3,7]=>[5,1,3,8,4,7,6,2]=>[1,3,2,1,1]=>11001011=>4 [7,4,1,8,2,6,5,3]=>[2,5,8,1,7,3,4,6]=>[3,2,3]=>10010100=>5 [7,1,2,8,4,3,5,6]=>[2,8,7,1,5,6,4,3]=>[2,1,3,1,1]=>10110011=>4 [5,6,2,1,4,7,3,8]=>[4,3,7,8,5,2,6,1]=>[1,3,1,2,1]=>11001101=>4 [3,6,2,5,4,8,7,1]=>[6,3,7,4,5,1,2,8]=>[1,2,2,3]=>11010100=>5 [3,1,5,8,4,2,7,6]=>[6,8,4,1,5,7,2,3]=>[2,1,3,2]=>10110010=>5 [7,3,6,2,1,4,8,5]=>[2,6,3,7,8,5,1,4]=>[2,3,1,2]=>10100110=>5 [7,3,1,4,2,8,5,6]=>[2,6,8,5,7,1,4,3]=>[3,2,2,1]=>10010101=>6 [8,2,1,3,7,4,5,6]=>[1,7,8,6,2,5,4,3]=>[3,1,2,1,1]=>10011011=>4 [5,1,3,4,8,6,2,7]=>[4,8,6,5,1,3,7,2]=>[2,1,1,3,1]=>10111001=>4 [2,7,4,1,8,5,3,6]=>[7,2,5,8,1,4,6,3]=>[1,3,3,1]=>11001001=>4 [8,1,2,5,3,4,6,7,9]=>[2,9,8,5,7,6,4,3,1]=>[2,1,2,1,1,1,1]=>101101111=>4 [7,1,5,2,4,3,6,8]=>[2,8,4,7,5,6,3,1]=>[2,2,2,1,1]=>10101011=>6 [7,8,6,1,5,2,4,3]=>[2,1,3,8,4,7,5,6]=>[1,3,2,2]=>11001010=>5 [8,5,7,4,1,3,2,6]=>[1,4,2,5,8,6,7,3]=>[2,3,2,1]=>10100101=>6 [6,8,7,3,2,1,5,4]=>[3,1,2,6,7,8,4,5]=>[1,5,2]=>11000010=>3 [3,6,8,7,2,4,1,5]=>[6,3,1,2,7,5,8,4]=>[1,1,3,2,1]=>11100101=>4 [5,7,3,6,2,1,8,4]=>[4,2,6,3,7,8,1,5]=>[1,2,3,2]=>11010010=>5 [3,6,5,2,4,8,1,7]=>[6,3,4,7,5,1,8,2]=>[1,3,1,2,1]=>11001101=>4 [5,2,6,1,7,4,3,8]=>[4,7,3,8,2,5,6,1]=>[2,2,3,1]=>10101001=>6 [6,3,4,5,1,7,2,8]=>[3,6,5,4,8,2,7,1]=>[2,1,2,2,1]=>10110101=>6 [2,6,1,7,5,3,8,4]=>[7,3,8,2,4,6,1,5]=>[1,2,3,2]=>11010010=>5 [7,5,8,2,3,6,1,4]=>[2,4,1,7,6,3,8,5]=>[2,2,1,2,1]=>10101101=>6 [1,5,4,8,3,6,7,2]=>[8,4,5,1,6,3,2,7]=>[1,2,2,1,2]=>11010110=>5 [7,3,5,2,8,6,1,4]=>[2,6,4,7,1,3,8,5]=>[2,2,3,1]=>10101001=>6 [1,8,3,6,2,4,7,5]=>[8,1,6,3,7,5,2,4]=>[1,2,2,1,2]=>11010110=>5 [1,8,7,5,6,4,2,3]=>[8,1,2,4,3,5,7,6]=>[1,3,3,1]=>11001001=>4 [6,8,2,1,5,4,3,7]=>[3,1,7,8,4,5,6,2]=>[1,3,3,1]=>11001001=>4 [1,3,6,5,8,7,2,4]=>[8,6,3,4,1,2,7,5]=>[1,1,2,3,1]=>11101001=>4 [1,4,8,7,6,2,3,5]=>[8,5,1,2,3,7,6,4]=>[1,1,4,1,1]=>11100011=>2 [1,4,7,6,2,5,3,8]=>[8,5,2,3,7,4,6,1]=>[1,1,3,2,1]=>11100101=>4 [1,3,7,2,6,5,4,8]=>[8,6,2,7,3,4,5,1]=>[1,1,2,3,1]=>11101001=>4 [7,5,1,4,6,3,2,8]=>[2,4,8,5,3,6,7,1]=>[3,1,3,1]=>10011001=>4 [7,5,1,2,6,3,4,8]=>[2,4,8,7,3,6,5,1]=>[3,1,2,1,1]=>10011011=>4 [7,5,1,8,3,2,4,6]=>[2,4,8,1,6,7,5,3]=>[3,3,1,1]=>10010011=>4 [7,5,1,4,6,3,8,2]=>[2,4,8,5,3,6,1,7]=>[3,1,2,2]=>10011010=>5 [7,5,4,1,2,6,3,8]=>[2,4,5,8,7,3,6,1]=>[4,1,2,1]=>10001101=>4 [7,5,1,4,2,8,3,6]=>[2,4,8,5,7,1,6,3]=>[3,2,2,1]=>10010101=>6 [7,5,2,1,4,8,3,6]=>[2,4,7,8,5,1,6,3]=>[4,1,2,1]=>10001101=>4 [5,4,1,8,6,7,3,2]=>[4,5,8,1,3,2,6,7]=>[3,2,3]=>10010100=>5 [6,3,2,1,5,8,4,7]=>[3,6,7,8,4,1,5,2]=>[4,1,2,1]=>10001101=>4 [4,3,5,6,2,8,1,7]=>[5,6,4,3,7,1,8,2]=>[2,1,2,2,1]=>10110101=>6 [4,5,3,1,6,8,2,7]=>[5,4,6,8,3,1,7,2]=>[1,3,1,2,1]=>11001101=>4 [3,4,6,7,5,1,8,2]=>[6,5,3,2,4,8,1,7]=>[1,1,1,3,2]=>11110010=>3 [4,8,2,6,7,1,5,3]=>[5,1,7,3,2,8,4,6]=>[1,2,1,2,2]=>11011010=>5 [6,5,8,3,7,1,4,2]=>[3,4,1,6,2,8,5,7]=>[2,2,2,2]=>10101010=>7 [5,6,7,1,2,4,3,8]=>[4,3,2,8,7,5,6,1]=>[1,1,2,1,2,1]=>11101101=>4 [4,8,6,5,3,7,1,2]=>[5,1,3,4,6,2,8,7]=>[1,4,2,1]=>11000101=>4 [4,8,6,5,3,7,2,1]=>[5,1,3,4,6,2,7,8]=>[1,4,3]=>11000100=>3 [4,1,5,7,6,2,8,3]=>[5,8,4,2,3,7,1,6]=>[2,1,3,2]=>10110010=>5 [3,2,4,7,1,5,8,6]=>[6,7,5,2,8,4,1,3]=>[2,1,2,1,2]=>10110110=>5 [4,7,5,8,6,2,3,1]=>[5,2,4,1,3,7,6,8]=>[1,2,3,2]=>11010010=>5 [3,2,6,8,7,5,1,4]=>[6,7,3,1,2,4,8,5]=>[2,1,4,1]=>10110001=>4 [7,2,4,5,8,1,6,3]=>[2,7,5,4,1,8,3,6]=>[2,1,1,2,2]=>10111010=>5 [4,2,3,5,7,8,6,1]=>[5,7,6,4,2,1,3,8]=>[2,1,1,1,3]=>10111100=>3 [5,6,1,3,8,4,7,2]=>[4,3,8,6,1,5,2,7]=>[1,2,1,2,2]=>11011010=>5 [5,4,7,1,6,2,3,8]=>[4,5,2,8,3,7,6,1]=>[2,2,2,1,1]=>10101011=>6 [3,1,7,4,6,5,2,8]=>[6,8,2,5,3,4,7,1]=>[2,2,3,1]=>10101001=>6 [2,7,4,3,5,1,8,6]=>[7,2,5,6,4,8,1,3]=>[1,3,2,2]=>11001010=>5 [3,6,8,5,2,4,1,7]=>[6,3,1,4,7,5,8,2]=>[1,1,3,2,1]=>11100101=>4 [2,8,6,7,1,4,5,3]=>[7,1,3,2,8,5,4,6]=>[1,2,2,1,2]=>11010110=>5 [5,1,4,7,2,6,3,8]=>[4,8,5,2,7,3,6,1]=>[2,1,2,2,1]=>10110101=>6 [4,7,1,5,6,2,3,8]=>[5,2,8,4,3,7,6,1]=>[1,2,1,2,1,1]=>11011011=>4 [4,2,5,6,3,7,1,8]=>[5,7,4,3,6,2,8,1]=>[2,1,2,2,1]=>10110101=>6 [4,7,3,1,6,5,2,8]=>[5,2,6,8,3,4,7,1]=>[1,3,3,1]=>11001001=>4 [7,2,6,4,3,5,1,8]=>[2,7,3,5,6,4,8,1]=>[2,3,2,1]=>10100101=>6 [3,6,8,5,7,1,2,4]=>[6,3,1,4,2,8,7,5]=>[1,1,2,2,1,1]=>11101011=>4 [2,6,1,8,7,3,5,4]=>[7,3,8,1,2,6,4,5]=>[1,2,3,2]=>11010010=>5 [3,6,8,7,4,2,5,1]=>[6,3,1,2,5,7,4,8]=>[1,1,4,2]=>11100010=>3 [1,8,4,7,2,5,6,3]=>[8,1,5,2,7,4,3,6]=>[1,2,2,1,2]=>11010110=>5 [7,5,6,1,3,8,2,4]=>[2,4,3,8,6,1,7,5]=>[2,2,1,2,1]=>10101101=>6 [5,4,8,3,6,7,2,1]=>[4,5,1,6,3,2,7,8]=>[2,2,1,3]=>10101100=>5 [5,8,4,6,3,7,2,1]=>[4,1,5,3,6,2,7,8]=>[1,2,2,3]=>11010100=>5 [8,5,2,6,3,1,4,7]=>[1,4,7,3,6,8,5,2]=>[3,3,1,1]=>10010011=>4 [7,3,2,8,5,4,1,6]=>[2,6,7,1,4,5,8,3]=>[3,4,1]=>10010001=>4 [7,3,4,8,5,1,2,6]=>[2,6,5,1,4,8,7,3]=>[2,1,3,1,1]=>10110011=>4 [7,4,8,1,3,5,2,6]=>[2,5,1,8,6,4,7,3]=>[2,2,1,2,1]=>10101101=>6 [7,6,2,4,1,8,3,5]=>[2,3,7,5,8,1,6,4]=>[3,2,2,1]=>10010101=>6 [8,2,5,4,6,1,7,3]=>[1,7,4,5,3,8,2,6]=>[2,2,2,2]=>10101010=>7 [6,8,4,1,7,3,5,2]=>[3,1,5,8,2,6,4,7]=>[1,3,2,2]=>11001010=>5 [2,8,5,6,1,3,4,7]=>[7,1,4,3,8,6,5,2]=>[1,2,2,1,1,1]=>11010111=>4 [7,6,8,5,1,2,4,3]=>[2,3,1,4,8,7,5,6]=>[2,3,1,2]=>10100110=>5 [9,8,7,5,3,1,6,4,2]=>[1,2,3,5,7,9,4,6,8]=>[6,3]=>100000100=>3 [2,8,5,3,6,4,1,7]=>[7,1,4,6,3,5,8,2]=>[1,3,3,1]=>11001001=>4 [8,4,5,1,6,3,7,2]=>[1,5,4,8,3,6,2,7]=>[2,2,2,2]=>10101010=>7 [8,6,5,3,7,1,4,2]=>[1,3,4,6,2,8,5,7]=>[4,2,2]=>10001010=>5 [6,1,8,4,2,3,7,5]=>[3,8,1,5,7,6,2,4]=>[2,3,1,2]=>10100110=>5 [7,1,8,5,2,6,3,4]=>[2,8,1,4,7,3,6,5]=>[2,3,2,1]=>10100101=>6 [2,8,4,3,7,1,6,5]=>[7,1,5,6,2,8,3,4]=>[1,3,2,2]=>11001010=>5 [8,7,6,9,5,3,2,1,4]=>[2,3,4,1,5,7,8,9,6]=>[3,5,1]=>100100001=>4 [1,5,2,4,7,6,8,3]=>[8,4,7,5,2,3,1,6]=>[1,2,1,2,2]=>11011010=>5 [1,5,4,3,8,2,7,6]=>[8,4,5,6,1,7,2,3]=>[1,3,2,2]=>11001010=>5 [3,4,2,6,8,1,7,5]=>[6,5,7,3,1,8,2,4]=>[1,2,1,2,2]=>11011010=>5 [4,8,6,2,7,5,1,3]=>[5,1,3,7,2,4,8,6]=>[1,3,3,1]=>11001001=>4 [1,7,5,3,2,6,8,4]=>[8,2,4,6,7,3,1,5]=>[1,4,1,2]=>11000110=>3 [7,6,1,5,2,3,4,8]=>[2,3,8,4,7,6,5,1]=>[3,2,1,1,1]=>10010111=>4 [7,5,1,6,2,3,4,8]=>[2,4,8,3,7,6,5,1]=>[3,2,1,1,1]=>10010111=>4 [7,2,6,5,1,3,4,8]=>[2,7,3,4,8,6,5,1]=>[2,3,1,1,1]=>10100111=>4 [6,1,7,2,4,5,8,3]=>[3,8,2,7,5,4,1,6]=>[2,2,1,1,2]=>10101110=>5 [6,2,1,8,4,7,3,5]=>[3,7,8,1,5,2,6,4]=>[3,2,2,1]=>10010101=>6 [7,6,2,8,3,4,5,1]=>[2,3,7,1,6,5,4,8]=>[3,2,1,2]=>10010110=>5 [2,5,4,7,1,8,3,6]=>[7,4,5,2,8,1,6,3]=>[1,2,2,2,1]=>11010101=>6 [6,2,7,4,3,8,5,1]=>[3,7,2,5,6,1,4,8]=>[2,3,3]=>10100100=>5 [1,5,4,7,3,8,2,6]=>[8,4,5,2,6,1,7,3]=>[1,2,2,2,1]=>11010101=>6 [1,2,6,7,3,5,4,8]=>[8,7,3,2,6,4,5,1]=>[1,1,1,2,2,1]=>11110101=>4 [5,6,8,7,4,2,3,1]=>[4,3,1,2,5,7,6,8]=>[1,1,4,2]=>11100010=>3 [2,3,8,5,7,4,1,6]=>[7,6,1,4,2,5,8,3]=>[1,1,2,3,1]=>11101001=>4 [4,2,5,6,3,1,7,8]=>[5,7,4,3,6,8,2,1]=>[2,1,3,1,1]=>10110011=>4 [5,2,3,7,6,8,4,1]=>[4,7,6,2,3,1,5,8]=>[2,1,2,3]=>10110100=>5 [8,1,2,4,6,3,5,7]=>[1,8,7,5,3,6,4,2]=>[2,1,1,2,1,1]=>10111011=>4 [4,2,5,6,3,7,8,1]=>[5,7,4,3,6,2,1,8]=>[2,1,2,1,2]=>10110110=>5 [3,7,8,4,5,6,1,2]=>[6,2,1,5,4,3,8,7]=>[1,1,2,1,2,1]=>11101101=>4 [6,3,5,7,4,8,1,2]=>[3,6,4,2,5,1,8,7]=>[2,1,2,2,1]=>10110101=>6 [5,6,3,8,1,7,4,2]=>[4,3,6,1,8,2,5,7]=>[1,2,2,3]=>11010100=>5 [4,5,2,1,8,3,6,7]=>[5,4,7,8,1,6,3,2]=>[1,3,2,1,1]=>11001011=>4 [7,4,2,1,6,5,8,3]=>[2,5,7,8,3,4,1,6]=>[4,2,2]=>10001010=>5 [8,5,2,1,7,3,6,4]=>[1,4,7,8,2,6,3,5]=>[4,2,2]=>10001010=>5 [5,4,3,6,1,8,2,7]=>[4,5,6,3,8,1,7,2]=>[3,2,2,1]=>10010101=>6 [3,5,4,1,7,2,8,6]=>[6,4,5,8,2,7,1,3]=>[1,3,2,2]=>11001010=>5 [2,6,5,3,7,1,8,4]=>[7,3,4,6,2,8,1,5]=>[1,3,2,2]=>11001010=>5 [5,7,1,3,6,4,8,2]=>[4,2,8,6,3,5,1,7]=>[1,2,1,2,2]=>11011010=>5 [8,1,7,6,4,2,3,5]=>[1,8,2,3,5,7,6,4]=>[2,4,1,1]=>10100011=>4 [7,5,3,2,1,4,8,6]=>[2,4,6,7,8,5,1,3]=>[5,1,2]=>10000110=>3 [2,6,8,4,5,3,7,1]=>[7,3,1,5,4,6,2,8]=>[1,1,2,2,2]=>11101010=>5 [1,2,9,3,4,8,7,6,5]=>[9,8,1,7,6,2,3,4,5]=>[1,1,2,1,4]=>111011000=>3 [1,2,9,3,8,7,6,5,4]=>[9,8,1,7,2,3,4,5,6]=>[1,1,2,5]=>111010000=>3 [1,9,2,8,3,7,6,5,4]=>[9,1,8,2,7,3,4,5,6]=>[1,2,2,4]=>110101000=>5 [3,4,2,8,5,7,1,6]=>[6,5,7,1,4,2,8,3]=>[1,2,2,2,1]=>11010101=>6 [4,1,6,2,5,8,7,3]=>[5,8,3,7,4,1,2,6]=>[2,2,1,3]=>10101100=>5 [1,8,6,3,7,4,5,2]=>[8,1,3,6,2,5,4,7]=>[1,3,2,2]=>11001010=>5 [6,2,3,8,1,5,4,7]=>[3,7,6,1,8,4,5,2]=>[2,1,2,2,1]=>10110101=>6 [3,8,6,5,4,7,1,2]=>[6,1,3,4,5,2,8,7]=>[1,4,2,1]=>11000101=>4 [2,4,1,5,6,8,7,3]=>[7,5,8,4,3,1,2,6]=>[1,2,1,1,3]=>11011100=>3 [4,5,7,1,6,2,8,3]=>[5,4,2,8,3,7,1,6]=>[1,1,2,2,2]=>11101010=>5 [5,6,3,7,4,8,1,9,2]=>[5,4,7,3,6,2,9,1,8]=>[1,2,2,2,2]=>110101010=>7 [5,6,4,7,3,8,1,9,2]=>[5,4,6,3,7,2,9,1,8]=>[1,2,2,2,2]=>110101010=>7 [5,7,3,4,2,8,6,1]=>[4,2,6,5,7,1,3,8]=>[1,2,2,3]=>11010100=>5 [7,6,4,2,3,8,5,1]=>[2,3,5,7,6,1,4,8]=>[4,1,3]=>10001100=>3 [3,7,4,2,6,8,5,1]=>[6,2,5,7,3,1,4,8]=>[1,3,1,3]=>11001100=>3 [6,4,8,7,3,2,5,1]=>[3,5,1,2,6,7,4,8]=>[2,4,2]=>10100010=>5 [2,5,7,6,4,8,1,3]=>[7,4,2,3,5,1,8,6]=>[1,1,3,2,1]=>11100101=>4 [6,2,8,3,7,4,5,1]=>[3,7,1,6,2,5,4,8]=>[2,2,2,2]=>10101010=>7 [5,2,3,8,6,1,4,7]=>[4,7,6,1,3,8,5,2]=>[2,1,3,1,1]=>10110011=>4 [1,4,3,8,5,6,2,7]=>[8,5,6,1,4,3,7,2]=>[1,2,2,2,1]=>11010101=>6 [4,5,8,7,2,3,6,1]=>[5,4,1,2,7,6,3,8]=>[1,1,3,1,2]=>11100110=>3 [7,8,6,1,4,2,5,3]=>[2,1,3,8,5,7,4,6]=>[1,3,2,2]=>11001010=>5 [8,3,6,4,7,2,1,5]=>[1,6,3,5,2,7,8,4]=>[2,2,3,1]=>10101001=>6 [2,7,1,4,6,8,5,3]=>[7,2,8,5,3,1,4,6]=>[1,2,1,1,3]=>11011100=>3 [7,2,5,1,6,8,4,3]=>[2,7,4,8,3,1,5,6]=>[2,2,1,3]=>10101100=>5 [5,1,8,7,2,4,3,6]=>[4,8,1,2,7,5,6,3]=>[2,3,2,1]=>10100101=>6 [3,6,8,1,5,2,7,4]=>[6,3,1,8,4,7,2,5]=>[1,1,2,2,2]=>11101010=>5 [7,3,6,8,1,5,2,4]=>[2,6,3,1,8,4,7,5]=>[2,1,2,2,1]=>10110101=>6 [5,1,3,6,4,2,7,8]=>[4,8,6,3,5,7,2,1]=>[2,1,3,1,1]=>10110011=>4 [3,8,5,1,4,6,2,7]=>[6,1,4,8,5,3,7,2]=>[1,3,1,2,1]=>11001101=>4 [6,2,8,5,7,4,1,3]=>[3,7,1,4,2,5,8,6]=>[2,2,3,1]=>10101001=>6 [2,7,8,5,6,4,3,1]=>[7,2,1,4,3,5,6,8]=>[1,1,2,4]=>11101000=>3 [8,4,6,7,1,3,5,2]=>[1,5,3,2,8,6,4,7]=>[2,1,2,1,2]=>10110110=>5 [3,1,5,8,7,4,2,6]=>[6,8,4,1,2,5,7,3]=>[2,1,4,1]=>10110001=>4 [1,3,8,4,5,2,6,7]=>[8,6,1,5,4,7,3,2]=>[1,1,2,2,1,1]=>11101011=>4 [8,3,1,4,6,7,2,5]=>[1,6,8,5,3,2,7,4]=>[3,1,1,2,1]=>10011101=>4 [7,8,5,1,2,6,3,4]=>[2,1,4,8,7,3,6,5]=>[1,3,1,2,1]=>11001101=>4 [8,6,2,1,7,3,5,4]=>[1,3,7,8,2,6,4,5]=>[4,2,2]=>10001010=>5 [9,3,4,5,6,2,8,7,1]=>[1,7,6,5,4,8,2,3,9]=>[2,1,1,2,3]=>101110100=>5 [7,2,8,4,6,5,3,1]=>[2,7,1,5,3,4,6,8]=>[2,2,4]=>10101000=>5 [4,8,6,3,1,7,2,5]=>[5,1,3,6,8,2,7,4]=>[1,4,2,1]=>11000101=>4 [2,5,8,3,4,6,1,7]=>[7,4,1,6,5,3,8,2]=>[1,1,2,1,2,1]=>11101101=>4 [7,8,4,3,6,1,2,5]=>[2,1,5,6,3,8,7,4]=>[1,3,2,1,1]=>11001011=>4 [8,4,3,5,1,6,7,2]=>[1,5,6,4,8,3,2,7]=>[3,2,1,2]=>10010110=>5 [5,6,1,2,4,8,7,3]=>[4,3,8,7,5,1,2,6]=>[1,2,1,1,3]=>11011100=>3 [4,3,6,2,5,7,1,8]=>[5,6,3,7,4,2,8,1]=>[2,2,1,2,1]=>10101101=>6 [5,2,8,6,7,4,1,3]=>[4,7,1,3,2,5,8,6]=>[2,2,3,1]=>10101001=>6 [1,7,2,6,5,4,8,3]=>[8,2,7,3,4,5,1,6]=>[1,2,3,2]=>11010010=>5 [5,4,8,3,7,6,2,1]=>[4,5,1,6,2,3,7,8]=>[2,2,4]=>10101000=>5 [6,3,1,7,2,4,8,5]=>[3,6,8,2,7,5,1,4]=>[3,2,1,2]=>10010110=>5 [8,1,5,2,3,6,4,7]=>[1,8,4,7,6,3,5,2]=>[2,2,1,2,1]=>10101101=>6 [8,5,2,1,3,6,4,7]=>[1,4,7,8,6,3,5,2]=>[4,1,2,1]=>10001101=>4 [4,7,2,1,3,8,5,6]=>[5,2,7,8,6,1,4,3]=>[1,3,1,2,1]=>11001101=>4 [4,5,2,8,1,3,6,7]=>[5,4,7,1,8,6,3,2]=>[1,2,2,1,1,1]=>11010111=>4 [8,2,5,1,6,3,4,7]=>[1,7,4,8,3,6,5,2]=>[2,2,2,1,1]=>10101011=>6 [8,4,2,5,6,1,3,7]=>[1,5,7,4,3,8,6,2]=>[3,1,2,1,1]=>10011011=>4 [4,5,8,3,1,2,6,7]=>[5,4,1,6,8,7,3,2]=>[1,1,3,1,1,1]=>11100111=>2 [8,2,6,5,1,7,4,3]=>[1,7,3,4,8,2,5,6]=>[2,3,3]=>10100100=>5 [7,6,4,1,2,5,8,3]=>[2,3,5,8,7,4,1,6]=>[4,1,1,2]=>10001110=>3 [8,3,2,1,7,5,4,6]=>[1,6,7,8,2,4,5,3]=>[4,3,1]=>10001001=>4 [1,8,4,5,7,3,2,6]=>[8,1,5,4,2,6,7,3]=>[1,2,1,3,1]=>11011001=>4 [7,2,1,3,8,4,6,5]=>[2,7,8,6,1,5,3,4]=>[3,1,2,2]=>10011010=>5 [4,1,8,6,2,7,3,5]=>[5,8,1,3,7,2,6,4]=>[2,3,2,1]=>10100101=>6 [2,6,5,4,8,7,1,3]=>[7,3,4,5,1,2,8,6]=>[1,3,3,1]=>11001001=>4 [5,6,7,1,3,2,4,8]=>[4,3,2,8,6,7,5,1]=>[1,1,2,2,1,1]=>11101011=>4 [7,1,8,4,3,2,6,5]=>[2,8,1,5,6,7,3,4]=>[2,4,2]=>10100010=>5 [8,1,5,4,2,6,7,3]=>[1,8,4,5,7,3,2,6]=>[2,3,1,2]=>10100110=>5 [7,4,1,6,8,5,3,2]=>[2,5,8,3,1,4,6,7]=>[3,1,4]=>10011000=>3 [7,5,3,8,2,1,4,6]=>[2,4,6,1,7,8,5,3]=>[3,3,1,1]=>10010011=>4 [6,5,3,7,2,8,1,4]=>[3,4,6,2,7,1,8,5]=>[3,2,2,1]=>10010101=>6 [8,6,3,7,5,4,2,1]=>[1,3,6,2,4,5,7,8]=>[3,5]=>10010000=>3 [8,3,5,7,4,6,2,1]=>[1,6,4,2,5,3,7,8]=>[2,1,2,3]=>10110100=>5 [8,3,2,4,7,5,6,1]=>[1,6,7,5,2,4,3,8]=>[3,1,2,2]=>10011010=>5 [4,8,6,2,5,1,3,7]=>[5,1,3,7,4,8,6,2]=>[1,3,2,1,1]=>11001011=>4 [3,8,2,5,7,6,4,1]=>[6,1,7,4,2,3,5,8]=>[1,2,1,4]=>11011000=>3 [3,1,7,8,4,5,6,2]=>[6,8,2,1,5,4,3,7]=>[2,1,2,1,2]=>10110110=>5 [1,3,8,2,6,7,5,4]=>[8,6,1,7,3,2,4,5]=>[1,1,2,1,3]=>11101100=>3 [3,1,7,2,6,8,5,4]=>[6,8,2,7,3,1,4,5]=>[2,2,1,3]=>10101100=>5 [5,4,1,8,3,7,6,2]=>[4,5,8,1,6,2,3,7]=>[3,2,3]=>10010100=>5 [2,8,3,4,5,7,1,6]=>[7,1,6,5,4,2,8,3]=>[1,2,1,1,2,1]=>11011101=>4 [1,8,5,2,7,6,4,3]=>[8,1,4,7,2,3,5,6]=>[1,3,4]=>11001000=>3 [1,7,8,6,2,5,4,3]=>[8,2,1,3,7,4,5,6]=>[1,1,3,3]=>11100100=>3 [7,2,5,6,4,8,3,1]=>[2,7,4,3,5,1,6,8]=>[2,1,2,3]=>10110100=>5 [7,4,6,2,8,5,3,1]=>[2,5,3,7,1,4,6,8]=>[2,2,4]=>10101000=>5 [5,3,4,7,6,8,2,1]=>[4,6,5,2,3,1,7,8]=>[2,1,2,3]=>10110100=>5 [5,3,4,8,2,1,7,6]=>[4,6,5,1,7,8,2,3]=>[2,1,3,2]=>10110010=>5 [5,2,3,6,1,7,4,8]=>[4,7,6,3,8,2,5,1]=>[2,1,2,2,1]=>10110101=>6 [7,8,4,6,5,1,2,3]=>[2,1,5,3,4,8,7,6]=>[1,2,3,1,1]=>11010011=>4 [6,3,7,5,4,1,2,8]=>[3,6,2,4,5,8,7,1]=>[2,4,1,1]=>10100011=>4 [9,7,6,5,4,3,8,2,1]=>[1,3,4,5,6,7,2,8,9]=>[6,3]=>100000100=>3 [9,8,6,5,4,7,3,2,1]=>[1,2,4,5,6,3,7,8,9]=>[5,4]=>100001000=>3 [1,5,7,6,2,3,8,4]=>[8,4,2,3,7,6,1,5]=>[1,1,3,1,2]=>11100110=>3 [1,4,3,7,6,2,5,8]=>[8,5,6,2,3,7,4,1]=>[1,2,3,1,1]=>11010011=>4 [1,3,7,4,6,8,5,2]=>[8,6,2,5,3,1,4,7]=>[1,1,2,1,3]=>11101100=>3 [1,5,3,4,7,2,8,6]=>[8,4,6,5,2,7,1,3]=>[1,2,1,2,2]=>11011010=>5 [7,4,2,3,1,6,5,8]=>[2,5,7,6,8,3,4,1]=>[3,2,2,1]=>10010101=>6 [5,6,2,1,7,4,3,8]=>[4,3,7,8,2,5,6,1]=>[1,3,3,1]=>11001001=>4 [9,8,6,4,2,1,3,5,7]=>[1,2,4,6,8,9,7,5,3]=>[6,1,1,1]=>100000111=>2 [8,7,3,6,5,4,2,1,9]=>[2,3,7,4,5,6,8,9,1]=>[3,5,1]=>100100001=>4 [4,1,5,6,2,8,7,3]=>[5,8,4,3,7,1,2,6]=>[2,1,2,3]=>10110100=>5 [3,4,7,8,1,5,2,6]=>[6,5,2,1,8,4,7,3]=>[1,1,1,2,2,1]=>11110101=>4 [4,8,3,1,7,6,2,5]=>[5,1,6,8,2,3,7,4]=>[1,3,3,1]=>11001001=>4 [1,2,6,3,4,5,7,8,9]=>[9,8,4,7,6,5,3,2,1]=>[1,1,2,1,1,1,1,1]=>111011111=>2 [1,4,2,3,9,5,6,7,8]=>[9,6,8,7,1,5,4,3,2]=>[1,2,1,2,1,1,1]=>110110111=>4 [1,7,6,5,4,8,2,3,9]=>[9,3,4,5,6,2,8,7,1]=>[1,4,2,1,1]=>110001011=>4 [1,8,7,6,5,4,9,2,3]=>[9,2,3,4,5,6,1,8,7]=>[1,5,2,1]=>110000101=>4 [2,4,1,7,5,6,8,3]=>[7,5,8,2,4,3,1,6]=>[1,2,2,1,2]=>11010110=>5 [4,7,6,3,2,1,5,8]=>[5,2,3,6,7,8,4,1]=>[1,5,1,1]=>11000011=>2 [3,2,6,1,7,5,4,8]=>[6,7,3,8,2,4,5,1]=>[2,2,3,1]=>10101001=>6 [1,5,3,7,4,6,8,2]=>[8,4,6,2,5,3,1,7]=>[1,2,2,1,2]=>11010110=>5 [1,7,4,5,6,2,8,3]=>[8,2,5,4,3,7,1,6]=>[1,2,1,2,2]=>11011010=>5 [3,1,7,4,5,8,6,2]=>[6,8,2,5,4,1,3,7]=>[2,2,1,3]=>10101100=>5 [4,7,1,5,2,8,6,3]=>[5,2,8,4,7,1,3,6]=>[1,2,2,3]=>11010100=>5 [4,7,1,5,8,6,3,2]=>[5,2,8,4,1,3,6,7]=>[1,2,1,4]=>11011000=>3 [4,5,2,8,3,6,7,1]=>[5,4,7,1,6,3,2,8]=>[1,2,2,1,2]=>11010110=>5 [5,9,4,8,3,7,2,6,1]=>[5,1,6,2,7,3,8,4,9]=>[1,2,2,2,2]=>110101010=>7 [3,5,7,9,2,4,6,8,1]=>[7,5,3,1,8,6,4,2,9]=>[1,1,1,2,1,1,2]=>111101110=>3 [4,7,5,1,2,3,8,6]=>[5,2,4,8,7,6,1,3]=>[1,3,1,1,2]=>11001110=>3 [5,2,8,6,4,3,7,1]=>[4,7,1,3,5,6,2,8]=>[2,4,2]=>10100010=>5 [2,5,7,3,6,1,8,4]=>[7,4,2,6,3,8,1,5]=>[1,1,2,2,2]=>11101010=>5 [3,7,4,5,1,2,8,6]=>[6,2,5,4,8,7,1,3]=>[1,2,2,1,2]=>11010110=>5 [4,7,6,1,8,5,3,2]=>[5,2,3,8,1,4,6,7]=>[1,3,4]=>11001000=>3 [7,1,8,6,5,3,4,2]=>[2,8,1,3,4,6,5,7]=>[2,4,2]=>10100010=>5 [8,7,4,3,1,6,5,2]=>[1,2,5,6,8,3,4,7]=>[5,3]=>10000100=>3 [3,6,2,1,8,7,5,4]=>[6,3,7,8,1,2,4,5]=>[1,3,4]=>11001000=>3 [2,8,5,7,3,1,6,4]=>[7,1,4,2,6,8,3,5]=>[1,2,3,2]=>11010010=>5 [8,6,5,3,7,4,1,2]=>[1,3,4,6,2,5,8,7]=>[4,3,1]=>10001001=>4 [8,6,5,1,4,7,2,3]=>[1,3,4,8,5,2,7,6]=>[4,1,2,1]=>10001101=>4 [8,7,6,2,1,4,5,3]=>[1,2,3,7,8,5,4,6]=>[5,1,2]=>10000110=>3 [8,4,6,1,2,5,3,7]=>[1,5,3,8,7,4,6,2]=>[2,2,1,2,1]=>10101101=>6 [2,8,1,4,5,3,7,6]=>[7,1,8,5,4,6,2,3]=>[1,2,1,2,2]=>11011010=>5 [2,7,6,8,3,4,1,5]=>[7,2,3,1,6,5,8,4]=>[1,2,2,2,1]=>11010101=>6 [4,8,6,7,5,2,1,3]=>[5,1,3,2,4,7,8,6]=>[1,2,4,1]=>11010001=>4 [4,1,8,7,3,6,2,5]=>[5,8,1,2,6,3,7,4]=>[2,3,2,1]=>10100101=>6 [5,2,7,4,3,8,1,6]=>[4,7,2,5,6,1,8,3]=>[2,3,2,1]=>10100101=>6 [1,6,5,8,4,2,3,7]=>[8,3,4,1,5,7,6,2]=>[1,2,3,1,1]=>11010011=>4 [7,2,5,4,1,8,3,6]=>[2,7,4,5,8,1,6,3]=>[2,3,2,1]=>10100101=>6 [4,8,6,2,1,5,3,7]=>[5,1,3,7,8,4,6,2]=>[1,4,2,1]=>11000101=>4 [8,6,2,5,1,4,7,3]=>[1,3,7,4,8,5,2,6]=>[3,2,1,2]=>10010110=>5 [8,4,2,1,5,7,6,3]=>[1,5,7,8,4,2,3,6]=>[4,1,3]=>10001100=>3 [4,5,3,1,2,7,8,6]=>[5,4,6,8,7,2,1,3]=>[1,3,1,1,2]=>11001110=>3 [7,5,1,3,8,4,6,2]=>[2,4,8,6,1,5,3,7]=>[3,1,2,2]=>10011010=>5 [2,7,6,8,4,5,1,3]=>[7,2,3,1,5,4,8,6]=>[1,2,2,2,1]=>11010101=>6 [5,2,6,1,3,8,7,4]=>[4,7,3,8,6,1,2,5]=>[2,2,1,3]=>10101100=>5 [3,1,4,8,5,7,2,6]=>[6,8,5,1,4,2,7,3]=>[2,1,2,2,1]=>10110101=>6 [8,2,6,7,4,3,5,1]=>[1,7,3,2,5,6,4,8]=>[2,1,3,2]=>10110010=>5 [8,6,2,3,4,7,5,1]=>[1,3,7,6,5,2,4,8]=>[3,1,1,3]=>10011100=>3 [3,2,5,8,1,4,7,6]=>[6,7,4,1,8,5,2,3]=>[2,1,2,1,2]=>10110110=>5 [7,2,1,6,5,8,3,4]=>[2,7,8,3,4,1,6,5]=>[3,2,2,1]=>10010101=>6 [8,2,5,7,6,4,1,3]=>[1,7,4,2,3,5,8,6]=>[2,1,4,1]=>10110001=>4 [3,2,8,7,4,6,1,5]=>[6,7,1,2,5,3,8,4]=>[2,3,2,1]=>10100101=>6 [6,5,2,4,8,3,1,7]=>[3,4,7,5,1,6,8,2]=>[3,1,3,1]=>10011001=>4 [5,8,1,4,2,7,6,3]=>[4,1,8,5,7,2,3,6]=>[1,2,2,3]=>11010100=>5 [7,6,1,8,3,5,4,2]=>[2,3,8,1,6,4,5,7]=>[3,2,3]=>10010100=>5 [6,5,7,2,1,4,3,8]=>[3,4,2,7,8,5,6,1]=>[2,3,2,1]=>10100101=>6 [1,7,8,3,4,2,6,5]=>[8,2,1,6,5,7,3,4]=>[1,1,2,2,2]=>11101010=>5 [2,7,3,4,8,1,6,5]=>[7,2,6,5,1,8,3,4]=>[1,2,1,2,2]=>11011010=>5 [2,1,6,7,4,5,3,8]=>[7,8,3,2,5,4,6,1]=>[2,1,2,2,1]=>10110101=>6 [5,7,1,4,6,2,3,8]=>[4,2,8,5,3,7,6,1]=>[1,2,1,2,1,1]=>11011011=>4 [4,3,7,1,5,6,2,8]=>[5,6,2,8,4,3,7,1]=>[2,2,1,2,1]=>10101101=>6 [7,4,3,6,8,5,1,2]=>[2,5,6,3,1,4,8,7]=>[3,1,3,1]=>10011001=>4 [5,2,1,6,7,4,8,3]=>[4,7,8,3,2,5,1,6]=>[3,1,2,2]=>10011010=>5 [5,2,4,6,1,8,7,3]=>[4,7,5,3,8,1,2,6]=>[2,1,2,3]=>10110100=>5 [3,8,6,2,7,1,4,5]=>[6,1,3,7,2,8,5,4]=>[1,3,2,1,1]=>11001011=>4 [3,1,7,5,2,6,4,8]=>[6,8,2,4,7,3,5,1]=>[2,3,2,1]=>10100101=>6 [3,5,2,8,7,6,1,4]=>[6,4,7,1,2,3,8,5]=>[1,2,4,1]=>11010001=>4 [7,4,2,6,1,8,5,3]=>[2,5,7,3,8,1,4,6]=>[3,2,3]=>10010100=>5 [4,1,6,5,3,7,2,8]=>[5,8,3,4,6,2,7,1]=>[2,3,2,1]=>10100101=>6 [1,3,6,5,8,4,2,7]=>[8,6,3,4,1,5,7,2]=>[1,1,2,3,1]=>11101001=>4 [2,5,6,1,4,3,8,7]=>[7,4,3,8,5,6,1,2]=>[1,1,2,2,2]=>11101010=>5 [6,3,4,8,5,7,1,2]=>[3,6,5,1,4,2,8,7]=>[2,1,2,2,1]=>10110101=>6 [2,4,3,7,8,1,6,5]=>[7,5,6,2,1,8,3,4]=>[1,2,1,2,2]=>11011010=>5 [7,1,6,2,4,5,8,3]=>[2,8,3,7,5,4,1,6]=>[2,2,1,1,2]=>10101110=>5 [8,7,6,2,1,5,4,3]=>[1,2,3,7,8,4,5,6]=>[5,3]=>10000100=>3 [8,2,1,7,3,6,5,4]=>[1,7,8,2,6,3,4,5]=>[3,2,3]=>10010100=>5 [4,7,1,2,6,8,3,5]=>[5,2,8,7,3,1,6,4]=>[1,2,1,1,2,1]=>11011101=>4 [7,1,5,6,2,4,8,3]=>[2,8,4,3,7,5,1,6]=>[2,1,2,1,2]=>10110110=>5 [8,4,1,2,3,5,7,6]=>[1,5,8,7,6,4,2,3]=>[3,1,1,1,2]=>10011110=>3 [3,8,1,2,5,4,6,7]=>[6,1,8,7,4,5,3,2]=>[1,2,1,2,1,1]=>11011011=>4 [3,4,2,1,7,5,6,8]=>[6,5,7,8,2,4,3,1]=>[1,3,2,1,1]=>11001011=>4 [3,5,2,8,1,4,6,7]=>[6,4,7,1,8,5,3,2]=>[1,2,2,1,1,1]=>11010111=>4 [2,3,7,6,5,4,8,9,1]=>[8,7,3,4,5,6,2,1,9]=>[1,1,4,1,2]=>111000110=>3 [2,3,8,7,6,5,4,9,1]=>[8,7,2,3,4,5,6,1,9]=>[1,1,5,2]=>111000010=>3 [9,1,8,7,6,5,4,2,3]=>[1,9,2,3,4,5,6,8,7]=>[2,6,1]=>101000001=>4 [4,6,8,7,2,3,5,1]=>[5,3,1,2,7,6,4,8]=>[1,1,3,1,2]=>11100110=>3 [3,4,8,7,2,6,5,1]=>[6,5,1,2,7,3,4,8]=>[1,1,3,3]=>11100100=>3 [6,2,4,7,8,3,1,5]=>[3,7,5,2,1,6,8,4]=>[2,1,1,3,1]=>10111001=>4 [7,6,3,4,2,8,5,1]=>[2,3,6,5,7,1,4,8]=>[3,2,3]=>10010100=>5 [5,9,8,7,6,1,4,3,2]=>[5,1,2,3,4,9,6,7,8]=>[1,5,3]=>110000100=>3 [4,9,8,7,6,5,1,3,2]=>[6,1,2,3,4,5,9,7,8]=>[1,6,2]=>110000010=>3 [2,1,4,3,6,5,8,9,7]=>[8,9,6,7,4,5,2,1,3]=>[2,2,2,1,2]=>101010110=>7 [4,8,2,3,5,1,7,6]=>[5,1,7,6,4,8,2,3]=>[1,2,1,2,2]=>11011010=>5 [5,6,3,4,8,7,1,2]=>[4,3,6,5,1,2,8,7]=>[1,2,1,3,1]=>11011001=>4 [1,6,3,4,8,7,2,5]=>[8,3,6,5,1,2,7,4]=>[1,2,1,3,1]=>11011001=>4 [9,8,5,4,7,3,2,1,6]=>[1,2,5,6,3,7,8,9,4]=>[4,4,1]=>100010001=>4 [1,4,6,5,2,3,8,7]=>[8,5,3,4,7,6,1,2]=>[1,1,3,1,2]=>11100110=>3 [4,2,7,5,3,8,1,6]=>[5,7,2,4,6,1,8,3]=>[2,3,2,1]=>10100101=>6 [1,4,7,6,3,5,8,2]=>[8,5,2,3,6,4,1,7]=>[1,1,3,1,2]=>11100110=>3 [4,2,3,8,5,1,7,6]=>[5,7,6,1,4,8,2,3]=>[2,1,3,2]=>10110010=>5 [8,3,1,2,6,5,7,4]=>[1,6,8,7,3,4,2,5]=>[3,1,2,2]=>10011010=>5 [8,3,1,5,6,4,7,2]=>[1,6,8,4,3,5,2,7]=>[3,1,2,2]=>10011010=>5 [8,7,1,5,4,2,6,3]=>[1,2,8,4,5,7,3,6]=>[3,3,2]=>10010010=>5 [1,4,7,6,5,2,8,3]=>[8,5,2,3,4,7,1,6]=>[1,1,4,2]=>11100010=>3 [8,3,1,2,6,7,5,4]=>[1,6,8,7,3,2,4,5]=>[3,1,1,3]=>10011100=>3 [4,7,3,6,1,5,8,2]=>[5,2,6,3,8,4,1,7]=>[1,2,2,1,2]=>11010110=>5 [1,8,7,6,9,5,4,3,2]=>[9,2,3,4,1,5,6,7,8]=>[1,3,5]=>110010000=>3 [1,8,7,6,5,4,9,3,2]=>[9,2,3,4,5,6,1,7,8]=>[1,5,3]=>110000100=>3 [1,8,7,6,5,4,3,9,2]=>[9,2,3,4,5,6,7,1,8]=>[1,6,2]=>110000010=>3 [1,8,7,6,5,4,2,3,9]=>[9,2,3,4,5,6,8,7,1]=>[1,6,1,1]=>110000011=>2 [1,6,4,8,2,5,7,3]=>[8,3,5,1,7,4,2,6]=>[1,2,2,1,2]=>11010110=>5 [6,2,8,5,3,4,7,1]=>[3,7,1,4,6,5,2,8]=>[2,3,1,2]=>10100110=>5 [2,6,8,5,4,1,7,3]=>[7,3,1,4,5,8,2,6]=>[1,1,4,2]=>11100010=>3 [2,6,7,5,4,1,8,3]=>[7,3,2,4,5,8,1,6]=>[1,1,4,2]=>11100010=>3 [4,7,8,1,5,6,3,2]=>[5,2,1,8,4,3,6,7]=>[1,1,2,1,3]=>11101100=>3 [7,2,8,1,5,6,3,4]=>[2,7,1,8,4,3,6,5]=>[2,2,1,2,1]=>10101101=>6 [2,6,7,1,5,3,8,4]=>[7,3,2,8,4,6,1,5]=>[1,1,2,2,2]=>11101010=>5 [5,3,1,4,7,8,6,2]=>[4,6,8,5,2,1,3,7]=>[3,1,1,3]=>10011100=>3 [8,3,2,1,7,5,6,4]=>[1,6,7,8,2,4,3,5]=>[4,2,2]=>10001010=>5 [6,4,5,8,1,7,3,2]=>[3,5,4,1,8,2,6,7]=>[2,1,2,3]=>10110100=>5 [4,2,1,7,6,8,3,5]=>[5,7,8,2,3,1,6,4]=>[3,2,2,1]=>10010101=>6 [8,4,2,3,6,1,7,5]=>[1,5,7,6,3,8,2,4]=>[3,1,2,2]=>10011010=>5 [7,8,3,5,4,2,6,1]=>[2,1,6,4,5,7,3,8]=>[1,2,3,2]=>11010010=>5 [7,8,3,2,5,6,4,1]=>[2,1,6,7,4,3,5,8]=>[1,3,1,3]=>11001100=>3 [8,6,3,7,4,5,1,2]=>[1,3,6,2,5,4,8,7]=>[3,2,2,1]=>10010101=>6 [7,8,6,3,4,1,5,2]=>[2,1,3,6,5,8,4,7]=>[1,3,2,2]=>11001010=>5 [8,6,7,3,1,4,5,2]=>[1,3,2,6,8,5,4,7]=>[2,3,1,2]=>10100110=>5 [8,6,3,7,1,4,5,2]=>[1,3,6,2,8,5,4,7]=>[3,2,1,2]=>10010110=>5 [8,5,3,6,7,1,4,2]=>[1,4,6,3,2,8,5,7]=>[3,1,2,2]=>10011010=>5 [1,6,3,5,7,2,4,8]=>[8,3,6,4,2,7,5,1]=>[1,2,1,2,1,1]=>11011011=>4 [3,7,8,2,6,5,4,1]=>[6,2,1,7,3,4,5,8]=>[1,1,2,4]=>11101000=>3 [8,3,6,7,4,5,1,2]=>[1,6,3,2,5,4,8,7]=>[2,1,2,2,1]=>10110101=>6 [8,6,4,1,7,3,5,2]=>[1,3,5,8,2,6,4,7]=>[4,2,2]=>10001010=>5 [2,6,8,4,1,5,3,7]=>[7,3,1,5,8,4,6,2]=>[1,1,3,2,1]=>11100101=>4 [2,7,4,6,8,5,1,3]=>[7,2,5,3,1,4,8,6]=>[1,2,1,3,1]=>11011001=>4 [5,4,1,2,3,7,6,8]=>[4,5,8,7,6,2,3,1]=>[3,1,1,2,1]=>10011101=>4 [4,6,1,3,7,5,8,2]=>[5,3,8,6,2,4,1,7]=>[1,2,1,2,2]=>11011010=>5 [4,7,5,6,8,2,1,3]=>[5,2,4,3,1,7,8,6]=>[1,2,1,3,1]=>11011001=>4 [4,7,8,5,2,6,1,3]=>[5,2,1,4,7,3,8,6]=>[1,1,3,2,1]=>11100101=>4 [2,3,6,4,8,5,7,1]=>[7,6,3,5,1,4,2,8]=>[1,1,2,2,2]=>11101010=>5 [6,5,8,4,7,3,1,2]=>[3,4,1,5,2,6,8,7]=>[2,2,3,1]=>10101001=>6 [2,3,6,4,8,7,5,1]=>[7,6,3,5,1,2,4,8]=>[1,1,2,4]=>11101000=>3 [2,3,7,4,6,8,5,1]=>[7,6,2,5,3,1,4,8]=>[1,1,2,1,3]=>11101100=>3 [8,1,5,7,6,3,4,2]=>[1,8,4,2,3,6,5,7]=>[2,1,3,2]=>10110010=>5 [6,8,5,3,1,2,4,7]=>[3,1,4,6,8,7,5,2]=>[1,4,1,1,1]=>11000111=>2 [7,5,1,3,4,6,2,8]=>[2,4,8,6,5,3,7,1]=>[3,1,1,2,1]=>10011101=>4 [8,6,1,3,4,7,5,2]=>[1,3,8,6,5,2,4,7]=>[3,1,1,3]=>10011100=>3 [4,5,2,3,6,8,1,7]=>[5,4,7,6,3,1,8,2]=>[1,2,1,1,2,1]=>11011101=>4 [2,5,3,8,6,1,4,7]=>[7,4,6,1,3,8,5,2]=>[1,2,3,1,1]=>11010011=>4 [7,2,3,1,5,4,6,8]=>[2,7,6,8,4,5,3,1]=>[2,2,2,1,1]=>10101011=>6 [7,3,6,1,4,2,5,8]=>[2,6,3,8,5,7,4,1]=>[2,2,2,1,1]=>10101011=>6 [3,7,4,1,6,8,2,5]=>[6,2,5,8,3,1,7,4]=>[1,3,1,2,1]=>11001101=>4 [5,2,4,1,8,6,3,7]=>[4,7,5,8,1,3,6,2]=>[2,2,3,1]=>10101001=>6 [5,7,4,2,8,3,1,6]=>[4,2,5,7,1,6,8,3]=>[1,3,3,1]=>11001001=>4 [3,4,8,5,7,6,2,1]=>[6,5,1,4,2,3,7,8]=>[1,1,2,4]=>11101000=>3 [4,2,3,6,7,5,8,1]=>[5,7,6,3,2,4,1,8]=>[2,1,1,2,2]=>10111010=>5 [5,8,6,3,7,1,4,2]=>[4,1,3,6,2,8,5,7]=>[1,3,2,2]=>11001010=>5 [8,3,6,7,5,1,4,2]=>[1,6,3,2,4,8,5,7]=>[2,1,3,2]=>10110010=>5 [8,1,7,4,3,5,2,6]=>[1,8,2,5,6,4,7,3]=>[2,3,2,1]=>10100101=>6 [7,3,2,4,5,8,6,1]=>[2,6,7,5,4,1,3,8]=>[3,1,1,3]=>10011100=>3 [7,2,5,1,3,8,4,6]=>[2,7,4,8,6,1,5,3]=>[2,2,1,2,1]=>10101101=>6 [7,6,2,5,3,4,8,1]=>[2,3,7,4,6,5,1,8]=>[3,2,1,2]=>10010110=>5 [7,4,5,1,8,3,6,2]=>[2,5,4,8,1,6,3,7]=>[2,2,2,2]=>10101010=>7 [7,1,5,3,8,6,2,4]=>[2,8,4,6,1,3,7,5]=>[2,2,3,1]=>10101001=>6 [5,8,6,1,3,7,2,4]=>[4,1,3,8,6,2,7,5]=>[1,3,1,2,1]=>11001101=>4 [2,3,6,4,8,7,1,5]=>[7,6,3,5,1,2,8,4]=>[1,1,2,3,1]=>11101001=>4 [3,6,1,4,8,5,2,7]=>[6,3,8,5,1,4,7,2]=>[1,2,1,3,1]=>11011001=>4 [1,7,2,5,8,3,6,4]=>[8,2,7,4,1,6,3,5]=>[1,2,1,2,2]=>11011010=>5 [2,4,7,5,6,1,3,8]=>[7,5,2,4,3,8,6,1]=>[1,1,2,2,1,1]=>11101011=>4 [7,4,6,3,1,5,8,2]=>[2,5,3,6,8,4,1,7]=>[2,3,1,2]=>10100110=>5 [4,7,1,5,6,3,8,2]=>[5,2,8,4,3,6,1,7]=>[1,2,1,2,2]=>11011010=>5 [7,4,3,5,1,8,2,6]=>[2,5,6,4,8,1,7,3]=>[3,2,2,1]=>10010101=>6 [7,6,5,2,3,1,8,4]=>[2,3,4,7,6,8,1,5]=>[4,2,2]=>10001010=>5 [3,6,1,2,5,7,8,4]=>[6,3,8,7,4,2,1,5]=>[1,2,1,1,1,2]=>11011110=>3 [8,2,7,1,3,5,4,6]=>[1,7,2,8,6,4,5,3]=>[2,2,1,2,1]=>10101101=>6 [3,7,4,2,8,6,1,5]=>[6,2,5,7,1,3,8,4]=>[1,3,3,1]=>11001001=>4 [7,5,8,6,4,2,3,1]=>[2,4,1,3,5,7,6,8]=>[2,4,2]=>10100010=>5 [6,2,7,1,3,5,4,8]=>[3,7,2,8,6,4,5,1]=>[2,2,1,2,1]=>10101101=>6 [3,8,7,4,2,1,6,5]=>[6,1,2,5,7,8,3,4]=>[1,5,2]=>11000010=>3 [3,1,5,4,8,2,6,7]=>[6,8,4,5,1,7,3,2]=>[2,2,2,1,1]=>10101011=>6 [4,8,6,2,5,3,7,1]=>[5,1,3,7,4,6,2,8]=>[1,3,2,2]=>11001010=>5 [2,3,7,1,5,4,6,8]=>[7,6,2,8,4,5,3,1]=>[1,1,2,2,1,1]=>11101011=>4 [5,3,4,2,8,1,7,6]=>[4,6,5,7,1,8,2,3]=>[2,2,2,2]=>10101010=>7 [8,3,6,7,5,4,2,1]=>[1,6,3,2,4,5,7,8]=>[2,1,5]=>10110000=>3 [8,7,2,6,3,1,5,4]=>[1,2,7,3,6,8,4,5]=>[3,3,2]=>10010010=>5 [8,2,7,6,1,3,5,4]=>[1,7,2,3,8,6,4,5]=>[2,3,1,2]=>10100110=>5 [8,7,2,4,6,5,1,3]=>[1,2,7,5,3,4,8,6]=>[3,1,3,1]=>10011001=>4 [2,3,5,4,7,1,6,8]=>[7,6,4,5,2,8,3,1]=>[1,1,2,2,1,1]=>11101011=>4 [8,2,4,3,5,1,6,7]=>[1,7,5,6,4,8,3,2]=>[2,2,2,1,1]=>10101011=>6 [8,2,4,6,5,1,3,7]=>[1,7,5,3,4,8,6,2]=>[2,1,3,1,1]=>10110011=>4 [5,8,3,4,7,6,2,1]=>[4,1,6,5,2,3,7,8]=>[1,2,1,4]=>11011000=>3 [4,5,2,3,8,7,6,1]=>[5,4,7,6,1,2,3,8]=>[1,2,1,4]=>11011000=>3 [8,4,1,7,6,3,5,2]=>[1,5,8,2,3,6,4,7]=>[3,3,2]=>10010010=>5 [8,5,1,2,3,6,4,7]=>[1,4,8,7,6,3,5,2]=>[3,1,1,2,1]=>10011101=>4 [4,8,7,6,3,5,1,2]=>[5,1,2,3,6,4,8,7]=>[1,4,2,1]=>11000101=>4 [7,1,3,5,4,6,8,2]=>[2,8,6,4,5,3,1,7]=>[2,1,2,1,2]=>10110110=>5 [2,6,8,5,1,3,4,7]=>[7,3,1,4,8,6,5,2]=>[1,1,3,1,1,1]=>11100111=>2 [3,1,6,8,2,5,7,4]=>[6,8,3,1,7,4,2,5]=>[2,1,2,1,2]=>10110110=>5 [8,3,2,7,5,1,4,6]=>[1,6,7,2,4,8,5,3]=>[3,3,1,1]=>10010011=>4 [3,6,1,2,8,4,7,5]=>[6,3,8,7,1,5,2,4]=>[1,2,1,2,2]=>11011010=>5 [6,8,1,5,4,3,7,2]=>[3,1,8,4,5,6,2,7]=>[1,2,3,2]=>11010010=>5 [1,7,5,4,2,6,8,3]=>[8,2,4,5,7,3,1,6]=>[1,4,1,2]=>11000110=>3 [6,7,4,1,5,3,2,8]=>[3,2,5,8,4,6,7,1]=>[1,3,3,1]=>11001001=>4 [4,7,6,1,2,8,5,3]=>[5,2,3,8,7,1,4,6]=>[1,3,1,3]=>11001100=>3 [1,5,4,6,8,2,7,3]=>[8,4,5,3,1,7,2,6]=>[1,2,1,2,2]=>11011010=>5 [1,4,6,7,2,5,3,8]=>[8,5,3,2,7,4,6,1]=>[1,1,1,2,2,1]=>11110101=>4 [1,5,4,6,8,3,2,7]=>[8,4,5,3,1,6,7,2]=>[1,2,1,3,1]=>11011001=>4 [1,6,8,3,4,5,2,7]=>[8,3,1,6,5,4,7,2]=>[1,1,2,1,2,1]=>11101101=>4 [1,3,4,6,8,7,2,5]=>[8,6,5,3,1,2,7,4]=>[1,1,1,1,3,1]=>11111001=>2 [2,4,5,7,8,3,6,1]=>[7,5,4,2,1,6,3,8]=>[1,1,1,1,2,2]=>11111010=>3 [4,7,1,3,6,2,8,5]=>[5,2,8,6,3,7,1,4]=>[1,2,1,2,2]=>11011010=>5 [7,2,8,1,4,3,5,6]=>[2,7,1,8,5,6,4,3]=>[2,2,2,1,1]=>10101011=>6 [7,1,2,5,8,4,3,6]=>[2,8,7,4,1,5,6,3]=>[2,1,1,3,1]=>10111001=>4 [7,4,3,5,1,2,8,6]=>[2,5,6,4,8,7,1,3]=>[3,2,1,2]=>10010110=>5 [4,6,3,1,5,7,2,8]=>[5,3,6,8,4,2,7,1]=>[1,3,1,2,1]=>11001101=>4 [7,4,2,5,6,8,3,1]=>[2,5,7,4,3,1,6,8]=>[3,1,1,3]=>10011100=>3 [4,1,6,8,5,7,2,3]=>[5,8,3,1,4,2,7,6]=>[2,1,2,2,1]=>10110101=>6 [5,1,7,4,6,3,2,8]=>[4,8,2,5,3,6,7,1]=>[2,2,3,1]=>10101001=>6 [1,4,6,3,5,2,7,8]=>[8,5,3,6,4,7,2,1]=>[1,1,2,2,1,1]=>11101011=>4 [1,4,6,7,5,2,8,3]=>[8,5,3,2,4,7,1,6]=>[1,1,1,3,2]=>11110010=>3 [6,4,5,1,3,7,2,8]=>[3,5,4,8,6,2,7,1]=>[2,2,1,2,1]=>10101101=>6 [6,4,8,1,3,5,2,7]=>[3,5,1,8,6,4,7,2]=>[2,2,1,2,1]=>10101101=>6 [5,1,2,8,7,4,3,6]=>[4,8,7,1,2,5,6,3]=>[2,1,4,1]=>10110001=>4 [6,4,1,8,3,7,2,5]=>[3,5,8,1,6,2,7,4]=>[3,2,2,1]=>10010101=>6 [8,4,5,1,3,6,2,7]=>[1,5,4,8,6,3,7,2]=>[2,2,1,2,1]=>10101101=>6 [6,7,1,5,4,2,8,3]=>[3,2,8,4,5,7,1,6]=>[1,2,3,2]=>11010010=>5 [3,8,1,7,5,4,6,2]=>[6,1,8,2,4,5,3,7]=>[1,2,3,2]=>11010010=>5 [3,4,2,6,1,8,5,7]=>[6,5,7,3,8,1,4,2]=>[1,2,2,2,1]=>11010101=>6 [4,2,3,7,1,8,5,6]=>[5,7,6,2,8,1,4,3]=>[2,1,2,2,1]=>10110101=>6 [8,1,2,6,7,4,3,5]=>[1,8,7,3,2,5,6,4]=>[2,1,1,3,1]=>10111001=>4 [4,2,6,7,1,5,3,8]=>[5,7,3,2,8,4,6,1]=>[2,1,2,2,1]=>10110101=>6 [7,6,1,5,8,2,4,3]=>[2,3,8,4,1,7,5,6]=>[3,1,2,2]=>10011010=>5 [4,7,3,1,2,5,8,6]=>[5,2,6,8,7,4,1,3]=>[1,3,1,1,2]=>11001110=>3 [4,2,3,6,1,8,7,5]=>[5,7,6,3,8,1,2,4]=>[2,1,2,3]=>10110100=>5 [5,4,3,6,8,2,1,7]=>[4,5,6,3,1,7,8,2]=>[3,1,3,1]=>10011001=>4 [8,4,3,5,7,6,1,2]=>[1,5,6,4,2,3,8,7]=>[3,1,3,1]=>10011001=>4 [7,8,6,9,5,4,3,2,1]=>[3,2,4,1,5,6,7,8,9]=>[1,2,6]=>110100000=>3 [3,4,8,6,2,7,5,1]=>[6,5,1,3,7,2,4,8]=>[1,1,3,3]=>11100100=>3 [5,7,4,2,3,1,8,6]=>[4,2,5,7,6,8,1,3]=>[1,3,2,2]=>11001010=>5 [3,7,8,1,4,2,5,6]=>[6,2,1,8,5,7,4,3]=>[1,1,2,2,1,1]=>11101011=>4 [6,8,3,5,4,2,7,1]=>[3,1,6,4,5,7,2,8]=>[1,2,3,2]=>11010010=>5 [4,7,3,1,5,2,6,8]=>[5,2,6,8,4,7,3,1]=>[1,3,2,1,1]=>11001011=>4 [5,8,6,4,3,7,2,1]=>[4,1,3,5,6,2,7,8]=>[1,4,3]=>11000100=>3 [6,7,9,5,4,3,2,1,8]=>[4,3,1,5,6,7,8,9,2]=>[1,1,6,1]=>111000001=>2 [1,6,9,5,4,3,2,8,7]=>[9,4,1,5,6,7,8,2,3]=>[1,1,5,2]=>111000010=>3 [3,6,2,4,5,1,7,8]=>[6,3,7,5,4,8,2,1]=>[1,2,1,2,1,1]=>11011011=>4 [8,7,4,2,5,6,3,1]=>[1,2,5,7,4,3,6,8]=>[4,1,3]=>10001100=>3 [8,4,2,7,5,6,3,1]=>[1,5,7,2,4,3,6,8]=>[3,2,3]=>10010100=>5 [8,3,7,2,5,6,4,1]=>[1,6,2,7,4,3,5,8]=>[2,2,1,3]=>10101100=>5 [4,8,1,6,5,3,7,2]=>[5,1,8,3,4,6,2,7]=>[1,2,3,2]=>11010010=>5 [5,8,6,4,7,3,1,2]=>[4,1,3,5,2,6,8,7]=>[1,3,3,1]=>11001001=>4 [7,6,8,4,1,2,5,3]=>[2,3,1,5,8,7,4,6]=>[2,3,1,2]=>10100110=>5 [3,8,6,1,5,4,7,2]=>[6,1,3,8,4,5,2,7]=>[1,3,2,2]=>11001010=>5 [4,8,6,3,1,7,5,2]=>[5,1,3,6,8,2,4,7]=>[1,4,3]=>11000100=>3 [1,9,8,7,6,3,2,4,5]=>[9,1,2,3,4,7,8,6,5]=>[1,6,1,1]=>110000011=>2 [2,5,3,6,8,7,1,4]=>[7,4,6,3,1,2,8,5]=>[1,2,1,3,1]=>11011001=>4 [6,1,2,4,5,8,7,3]=>[3,8,7,5,4,1,2,6]=>[2,1,1,1,3]=>10111100=>3 [5,6,8,1,2,7,3,4]=>[4,3,1,8,7,2,6,5]=>[1,1,2,1,2,1]=>11101101=>4 [1,6,4,2,5,3,8,7]=>[8,3,5,7,4,6,1,2]=>[1,3,2,2]=>11001010=>5 [4,3,6,2,5,8,7,1]=>[5,6,3,7,4,1,2,8]=>[2,2,1,3]=>10101100=>5 [2,4,7,1,6,8,5,3]=>[7,5,2,8,3,1,4,6]=>[1,1,2,1,3]=>11101100=>3 [7,4,3,6,8,1,5,2]=>[2,5,6,3,1,8,4,7]=>[3,1,2,2]=>10011010=>5 [3,6,5,1,7,8,4,2]=>[6,3,4,8,2,1,5,7]=>[1,3,1,3]=>11001100=>3 [8,2,3,7,6,5,1,4]=>[1,7,6,2,3,4,8,5]=>[2,1,4,1]=>10110001=>4 [5,4,1,2,6,3,7,8]=>[4,5,8,7,3,6,2,1]=>[3,1,2,1,1]=>10011011=>4 [2,6,1,8,7,5,4,3]=>[7,3,8,1,2,4,5,6]=>[1,2,5]=>11010000=>3 [2,7,1,9,8,6,5,4,3]=>[8,3,9,1,2,4,5,6,7]=>[1,2,6]=>110100000=>3 [3,4,1,9,8,7,6,5,2]=>[7,6,9,1,2,3,4,5,8]=>[1,2,6]=>110100000=>3 [5,6,1,7,3,2,4,8]=>[4,3,8,2,6,7,5,1]=>[1,2,3,1,1]=>11010011=>4 [4,2,6,8,3,5,7,1]=>[5,7,3,1,6,4,2,8]=>[2,1,2,1,2]=>10110110=>5 [4,5,6,1,3,7,2,8]=>[5,4,3,8,6,2,7,1]=>[1,1,2,1,2,1]=>11101101=>4 [7,4,3,6,5,8,2,1]=>[2,5,6,3,4,1,7,8]=>[3,2,3]=>10010100=>5 [1,4,3,7,5,2,6,8]=>[8,5,6,2,4,7,3,1]=>[1,2,3,1,1]=>11010011=>4 [8,7,4,3,2,6,5,1]=>[1,2,5,6,7,3,4,8]=>[5,3]=>10000100=>3 [2,7,4,3,1,6,5,8]=>[7,2,5,6,8,3,4,1]=>[1,4,2,1]=>11000101=>4 [6,2,5,3,1,8,4,7]=>[3,7,4,6,8,1,5,2]=>[2,3,2,1]=>10100101=>6 [3,1,4,8,5,2,6,7]=>[6,8,5,1,4,7,3,2]=>[2,1,3,1,1]=>10110011=>4 [4,6,8,1,3,7,2,5]=>[5,3,1,8,6,2,7,4]=>[1,1,2,1,2,1]=>11101101=>4 [6,2,1,3,4,8,5,7]=>[3,7,8,6,5,1,4,2]=>[3,1,1,2,1]=>10011101=>4 [3,7,4,6,5,1,2,8]=>[6,2,5,3,4,8,7,1]=>[1,2,3,1,1]=>11010011=>4 [4,8,7,5,3,6,2,1]=>[5,1,2,4,6,3,7,8]=>[1,4,3]=>11000100=>3 [3,8,4,6,5,1,2,7]=>[6,1,5,3,4,8,7,2]=>[1,2,3,1,1]=>11010011=>4 [6,8,3,5,1,4,2,7]=>[3,1,6,4,8,5,7,2]=>[1,2,2,2,1]=>11010101=>6 [3,8,7,1,2,6,5,4]=>[6,1,2,8,7,3,4,5]=>[1,3,1,3]=>11001100=>3 [8,2,3,1,5,4,6,7]=>[1,7,6,8,4,5,3,2]=>[2,2,2,1,1]=>10101011=>6 [3,8,4,5,1,7,2,6]=>[6,1,5,4,8,2,7,3]=>[1,2,2,2,1]=>11010101=>6 [7,6,3,4,1,5,8,2]=>[2,3,6,5,8,4,1,7]=>[3,2,1,2]=>10010110=>5 [7,5,1,4,3,6,8,2]=>[2,4,8,5,6,3,1,7]=>[3,2,1,2]=>10010110=>5 [7,4,1,3,5,6,8,2]=>[2,5,8,6,4,3,1,7]=>[3,1,1,1,2]=>10011110=>3 [3,7,5,6,2,4,8,1]=>[6,2,4,3,7,5,1,8]=>[1,2,2,1,2]=>11010110=>5 [4,2,3,8,7,1,6,5]=>[5,7,6,1,2,8,3,4]=>[2,1,3,2]=>10110010=>5 [3,7,4,5,2,6,1,8]=>[6,2,5,4,7,3,8,1]=>[1,2,2,2,1]=>11010101=>6 [1,7,4,5,8,2,6,3]=>[8,2,5,4,1,7,3,6]=>[1,2,1,2,2]=>11011010=>5 [5,8,6,2,1,3,4,7]=>[4,1,3,7,8,6,5,2]=>[1,4,1,1,1]=>11000111=>2 [2,7,3,8,6,1,4,5]=>[7,2,6,1,3,8,5,4]=>[1,2,3,1,1]=>11010011=>4 [6,7,1,2,3,5,4,8]=>[3,2,8,7,6,4,5,1]=>[1,2,1,1,2,1]=>11011101=>4 [8,7,3,1,2,5,4,6]=>[1,2,6,8,7,4,5,3]=>[4,1,2,1]=>10001101=>4 [8,2,1,3,5,4,6,7]=>[1,7,8,6,4,5,3,2]=>[3,1,2,1,1]=>10011011=>4 [6,1,8,5,4,2,3,7]=>[3,8,1,4,5,7,6,2]=>[2,4,1,1]=>10100011=>4 [5,1,7,8,4,6,2,3]=>[4,8,2,1,5,3,7,6]=>[2,1,2,2,1]=>10110101=>6 [6,1,2,5,7,4,3,8]=>[3,8,7,4,2,5,6,1]=>[2,1,1,3,1]=>10111001=>4 [4,8,2,7,5,6,3,1]=>[5,1,7,2,4,3,6,8]=>[1,2,2,3]=>11010100=>5 [6,1,2,4,8,7,3,5]=>[3,8,7,5,1,2,6,4]=>[2,1,1,3,1]=>10111001=>4 [2,6,4,1,7,3,8,5]=>[7,3,5,8,2,6,1,4]=>[1,3,2,2]=>11001010=>5 [6,7,2,5,4,8,3,1]=>[3,2,7,4,5,1,6,8]=>[1,2,2,3]=>11010100=>5 [8,1,2,4,5,7,6,3]=>[1,8,7,5,4,2,3,6]=>[2,1,1,1,3]=>10111100=>3 [1,3,5,8,7,4,2,6]=>[8,6,4,1,2,5,7,3]=>[1,1,1,4,1]=>11110001=>2 [3,2,1,7,8,4,6,5]=>[6,7,8,2,1,5,3,4]=>[3,1,2,2]=>10011010=>5 [1,4,7,5,6,3,8,2]=>[8,5,2,4,3,6,1,7]=>[1,1,2,2,2]=>11101010=>5 [3,7,4,2,5,6,8,1]=>[6,2,5,7,4,3,1,8]=>[1,3,1,1,2]=>11001110=>3 [2,8,5,3,7,6,1,4]=>[7,1,4,6,2,3,8,5]=>[1,3,3,1]=>11001001=>4 [8,3,5,2,4,7,6,1]=>[1,6,4,7,5,2,3,8]=>[2,2,1,3]=>10101100=>5 [8,4,6,2,7,5,1,3]=>[1,5,3,7,2,4,8,6]=>[2,2,3,1]=>10101001=>6 [2,7,4,8,5,6,3,1]=>[7,2,5,1,4,3,6,8]=>[1,2,2,3]=>11010100=>5 [6,2,3,1,5,8,4,7]=>[3,7,6,8,4,1,5,2]=>[2,2,1,2,1]=>10101101=>6 [4,1,3,6,2,8,7,5]=>[5,8,6,3,7,1,2,4]=>[2,1,2,3]=>10110100=>5 [5,2,4,7,1,3,8,6]=>[4,7,5,2,8,6,1,3]=>[2,1,2,1,2]=>10110110=>5 [7,1,5,4,3,6,8,2]=>[2,8,4,5,6,3,1,7]=>[2,3,1,2]=>10100110=>5 [5,2,4,6,3,1,8,7]=>[4,7,5,3,6,8,1,2]=>[2,1,3,2]=>10110010=>5 [2,6,1,7,8,5,4,3]=>[7,3,8,2,1,4,5,6]=>[1,2,1,4]=>11011000=>3 [5,1,7,3,2,8,6,4]=>[4,8,2,6,7,1,3,5]=>[2,3,3]=>10100100=>5 [8,3,5,6,7,2,1,4]=>[1,6,4,3,2,7,8,5]=>[2,1,1,3,1]=>10111001=>4 [2,6,3,7,4,5,1,8]=>[7,3,6,2,5,4,8,1]=>[1,2,2,2,1]=>11010101=>6 [6,2,3,4,7,5,1,8]=>[3,7,6,5,2,4,8,1]=>[2,1,1,3,1]=>10111001=>4 [7,8,2,5,1,4,6,3]=>[2,1,7,4,8,5,3,6]=>[1,2,2,1,2]=>11010110=>5 [8,6,3,1,2,7,4,5]=>[1,3,6,8,7,2,5,4]=>[4,1,2,1]=>10001101=>4 [4,5,7,1,3,2,6,8]=>[5,4,2,8,6,7,3,1]=>[1,1,2,2,1,1]=>11101011=>4 [4,1,3,8,7,2,5,6]=>[5,8,6,1,2,7,4,3]=>[2,1,3,1,1]=>10110011=>4 [2,1,7,3,5,6,4,8]=>[7,8,2,6,4,3,5,1]=>[2,2,1,2,1]=>10101101=>6 [4,8,3,6,2,7,5,1]=>[5,1,6,3,7,2,4,8]=>[1,2,2,3]=>11010100=>5 [7,5,2,8,3,6,4,1]=>[2,4,7,1,6,3,5,8]=>[3,2,3]=>10010100=>5 [4,7,5,3,6,8,2,1]=>[5,2,4,6,3,1,7,8]=>[1,3,1,3]=>11001100=>3 [3,8,2,6,4,1,7,5]=>[6,1,7,3,5,8,2,4]=>[1,2,3,2]=>11010010=>5 [2,8,5,6,4,7,3,1]=>[7,1,4,3,5,2,6,8]=>[1,2,2,3]=>11010100=>5 [7,8,5,2,1,3,6,4]=>[2,1,4,7,8,6,3,5]=>[1,4,1,2]=>11000110=>3 [8,7,6,5,2,9,4,1,3]=>[2,3,4,5,8,1,6,9,7]=>[5,3,1]=>100001001=>4 [8,7,6,5,9,4,3,1,2]=>[2,3,4,5,1,6,7,9,8]=>[4,4,1]=>100010001=>4 [8,5,4,7,3,2,6,1]=>[1,4,5,2,6,7,3,8]=>[3,3,2]=>10010010=>5 [8,9,6,5,7,4,3,2,1]=>[2,1,4,5,3,6,7,8,9]=>[1,3,5]=>110010000=>3 [9,7,8,5,6,4,3,2,1]=>[1,3,2,5,4,6,7,8,9]=>[2,2,5]=>101010000=>5 [9,8,6,7,5,4,3,2,1]=>[1,2,4,3,5,6,7,8,9]=>[3,6]=>100100000=>3 [6,1,4,7,3,8,5,2]=>[3,8,5,2,6,1,4,7]=>[2,1,2,3]=>10110100=>5 [2,7,4,8,1,5,3,6]=>[7,2,5,1,8,4,6,3]=>[1,2,2,2,1]=>11010101=>6 [4,2,8,3,5,6,1,7]=>[5,7,1,6,4,3,8,2]=>[2,2,1,2,1]=>10101101=>6 [5,8,2,6,7,1,4,3]=>[4,1,7,3,2,8,5,6]=>[1,2,1,2,2]=>11011010=>5 [5,3,4,2,8,6,1,7]=>[4,6,5,7,1,3,8,2]=>[2,2,3,1]=>10101001=>6 [8,2,1,5,3,6,7,4]=>[1,7,8,4,6,3,2,5]=>[3,2,1,2]=>10010110=>5 [8,2,5,3,1,6,7,4]=>[1,7,4,6,8,3,2,5]=>[2,3,1,2]=>10100110=>5 [2,8,3,6,5,1,7,4]=>[7,1,6,3,4,8,2,5]=>[1,2,3,2]=>11010010=>5 [8,1,3,5,2,6,7,4]=>[1,8,6,4,7,3,2,5]=>[2,1,2,1,2]=>10110110=>5 [5,3,9,8,7,6,1,4,2]=>[5,7,1,2,3,4,9,6,8]=>[2,5,2]=>101000010=>5 [4,1,5,9,8,7,6,3,2]=>[6,9,5,1,2,3,4,7,8]=>[2,1,6]=>101100000=>3 [8,5,3,2,6,7,4,1]=>[1,4,6,7,3,2,5,8]=>[4,1,3]=>10001100=>3 [2,8,1,6,3,5,4,7]=>[7,1,8,3,6,4,5,2]=>[1,2,2,2,1]=>11010101=>6 [6,2,4,1,7,5,3,8]=>[3,7,5,8,2,4,6,1]=>[2,2,3,1]=>10101001=>6 [1,6,3,4,7,2,5,8]=>[8,3,6,5,2,7,4,1]=>[1,2,1,2,1,1]=>11011011=>4 [5,3,7,8,6,2,1,4]=>[4,6,2,1,3,7,8,5]=>[2,1,4,1]=>10110001=>4 [4,3,2,5,8,6,1,7]=>[5,6,7,4,1,3,8,2]=>[3,1,3,1]=>10011001=>4 [1,3,2,7,8,6,4,5]=>[8,6,7,2,1,3,5,4]=>[1,2,1,3,1]=>11011001=>4 [1,3,7,6,8,2,4,5]=>[8,6,2,3,1,7,5,4]=>[1,1,2,2,1,1]=>11101011=>4 [1,5,8,6,3,2,4,7]=>[8,4,1,3,6,7,5,2]=>[1,1,4,1,1]=>11100011=>2 [1,4,2,6,5,3,7,8]=>[8,5,7,3,4,6,2,1]=>[1,2,3,1,1]=>11010011=>4 [1,8,7,5,6,2,4,3]=>[8,1,2,4,3,7,5,6]=>[1,3,2,2]=>11001010=>5 [1,8,7,3,5,2,4,6]=>[8,1,2,6,4,7,5,3]=>[1,3,2,1,1]=>11001011=>4 [6,1,5,4,3,7,2,8]=>[3,8,4,5,6,2,7,1]=>[2,3,2,1]=>10100101=>6 [8,3,7,6,4,2,5,1]=>[1,6,2,3,5,7,4,8]=>[2,4,2]=>10100010=>5 [8,3,7,6,4,1,5,2]=>[1,6,2,3,5,8,4,7]=>[2,4,2]=>10100010=>5 [8,7,1,5,4,3,6,2]=>[1,2,8,4,5,6,3,7]=>[3,3,2]=>10010010=>5 [2,8,7,5,1,3,6,4]=>[7,1,2,4,8,6,3,5]=>[1,4,1,2]=>11000110=>3 [1,8,3,2,4,7,6,5]=>[8,1,6,7,5,2,3,4]=>[1,3,1,3]=>11001100=>3 [8,3,4,6,1,7,5,2]=>[1,6,5,3,8,2,4,7]=>[2,1,2,3]=>10110100=>5 [8,7,4,6,3,1,2,5]=>[1,2,5,3,6,8,7,4]=>[3,3,1,1]=>10010011=>4 [5,1,8,6,4,7,3,2]=>[4,8,1,3,5,2,6,7]=>[2,3,3]=>10100100=>5 [5,2,1,8,6,4,7,3]=>[4,7,8,1,3,5,2,6]=>[3,3,2]=>10010010=>5 [8,3,6,7,2,5,4,1]=>[1,6,3,2,7,4,5,8]=>[2,1,2,3]=>10110100=>5 [2,6,5,3,7,8,1,4]=>[7,3,4,6,2,1,8,5]=>[1,3,1,2,1]=>11001101=>4 [7,5,2,6,8,3,1,4]=>[2,4,7,3,1,6,8,5]=>[3,1,3,1]=>10011001=>4 [1,6,4,2,5,8,7,3]=>[8,3,5,7,4,1,2,6]=>[1,3,1,3]=>11001100=>3 [2,7,3,6,8,1,5,4]=>[7,2,6,3,1,8,4,5]=>[1,2,1,2,2]=>11011010=>5 [1,2,6,8,3,5,7,4]=>[8,7,3,1,6,4,2,5]=>[1,1,1,2,1,2]=>11110110=>3 [5,3,2,7,6,8,1,4]=>[4,6,7,2,3,1,8,5]=>[3,2,2,1]=>10010101=>6 [7,6,3,2,1,5,8,4]=>[2,3,6,7,8,4,1,5]=>[5,1,2]=>10000110=>3 [8,2,9,7,6,5,4,1,3]=>[2,8,1,3,4,5,6,9,7]=>[2,6,1]=>101000001=>4 [9,3,8,7,6,5,4,1,2]=>[1,7,2,3,4,5,6,9,8]=>[2,6,1]=>101000001=>4 [1,3,7,6,2,5,8,4]=>[8,6,2,3,7,4,1,5]=>[1,1,3,1,2]=>11100110=>3 [1,6,4,8,2,3,7,5]=>[8,3,5,1,7,6,2,4]=>[1,2,2,1,2]=>11010110=>5 [6,4,3,2,7,5,1,8]=>[3,5,6,7,2,4,8,1]=>[4,3,1]=>10001001=>4 [5,2,7,3,8,1,4,6]=>[4,7,2,6,1,8,5,3]=>[2,2,2,1,1]=>10101011=>6 [5,2,3,7,8,1,4,6]=>[4,7,6,2,1,8,5,3]=>[2,1,1,2,1,1]=>10111011=>4 [3,5,2,1,8,7,4,6]=>[6,4,7,8,1,2,5,3]=>[1,3,3,1]=>11001001=>4 [8,6,7,1,2,4,3,5]=>[1,3,2,8,7,5,6,4]=>[2,2,1,2,1]=>10101101=>6 [3,2,5,8,1,7,4,6]=>[6,7,4,1,8,2,5,3]=>[2,1,2,2,1]=>10110101=>6 [5,2,4,7,6,3,1,8]=>[4,7,5,2,3,6,8,1]=>[2,1,4,1]=>10110001=>4 [8,6,2,7,4,3,1,5]=>[1,3,7,2,5,6,8,4]=>[3,4,1]=>10010001=>4 [8,6,5,3,1,4,2,7]=>[1,3,4,6,8,5,7,2]=>[5,2,1]=>10000101=>4 [8,1,6,4,5,7,3,2]=>[1,8,3,5,4,2,6,7]=>[2,2,1,3]=>10101100=>5 [2,6,5,1,7,3,4,8]=>[7,3,4,8,2,6,5,1]=>[1,3,2,1,1]=>11001011=>4 [3,6,2,8,1,4,5,7]=>[6,3,7,1,8,5,4,2]=>[1,2,2,1,1,1]=>11010111=>4 [4,6,2,1,8,7,3,5]=>[5,3,7,8,1,2,6,4]=>[1,3,3,1]=>11001001=>4 [6,8,3,5,4,1,2,7]=>[3,1,6,4,5,8,7,2]=>[1,2,3,1,1]=>11010011=>4 [6,5,1,8,2,4,3,7]=>[3,4,8,1,7,5,6,2]=>[3,2,2,1]=>10010101=>6 [3,5,1,8,4,2,6,7]=>[6,4,8,1,5,7,3,2]=>[1,2,3,1,1]=>11010011=>4 [4,6,3,2,1,7,8,5]=>[5,3,6,7,8,2,1,4]=>[1,4,1,2]=>11000110=>3 [4,5,2,8,7,6,1,3]=>[5,4,7,1,2,3,8,6]=>[1,2,4,1]=>11010001=>4 [5,1,8,3,4,7,2,6]=>[4,8,1,6,5,2,7,3]=>[2,2,1,2,1]=>10101101=>6 [2,6,1,4,5,7,3,8]=>[7,3,8,5,4,2,6,1]=>[1,2,1,1,2,1]=>11011101=>4 [5,6,2,3,8,7,1,4]=>[4,3,7,6,1,2,8,5]=>[1,2,1,3,1]=>11011001=>4 [8,6,5,3,2,7,4,1]=>[1,3,4,6,7,2,5,8]=>[5,3]=>10000100=>3 [6,8,4,3,5,7,2,1]=>[3,1,5,6,4,2,7,8]=>[1,3,1,3]=>11001100=>3 [3,4,7,5,2,6,8,1]=>[6,5,2,4,7,3,1,8]=>[1,1,3,1,2]=>11100110=>3 [1,7,4,5,8,6,3,2]=>[8,2,5,4,1,3,6,7]=>[1,2,1,4]=>11011000=>3 [3,8,4,1,5,6,2,7]=>[6,1,5,8,4,3,7,2]=>[1,3,1,2,1]=>11001101=>4 [1,7,8,6,4,3,5,2]=>[8,2,1,3,5,6,4,7]=>[1,1,4,2]=>11100010=>3 [2,3,8,1,7,4,6,5]=>[7,6,1,8,2,5,3,4]=>[1,1,2,2,2]=>11101010=>5 [7,1,5,6,2,8,4,3]=>[2,8,4,3,7,1,5,6]=>[2,1,2,3]=>10110100=>5 [4,7,5,2,8,3,1,6]=>[5,2,4,7,1,6,8,3]=>[1,3,3,1]=>11001001=>4 [8,2,5,7,1,4,3,6]=>[1,7,4,2,8,5,6,3]=>[2,1,2,2,1]=>10110101=>6 [2,5,1,4,6,8,7,3]=>[7,4,8,5,3,1,2,6]=>[1,2,1,1,3]=>11011100=>3 [3,5,2,7,8,6,1,4]=>[6,4,7,2,1,3,8,5]=>[1,2,1,3,1]=>11011001=>4 [6,7,3,5,2,8,4,1]=>[3,2,6,4,7,1,5,8]=>[1,2,2,3]=>11010100=>5 [1,2,6,5,4,3,9,8,7]=>[9,8,4,5,6,7,1,2,3]=>[1,1,4,3]=>111000100=>3 [3,4,5,2,1,9,8,7,6]=>[7,6,5,8,9,1,2,3,4]=>[1,1,3,4]=>111001000=>3 [8,2,1,4,7,5,3,6]=>[1,7,8,5,2,4,6,3]=>[3,1,3,1]=>10011001=>4 [6,2,3,7,1,4,8,5]=>[3,7,6,2,8,5,1,4]=>[2,1,2,1,2]=>10110110=>5 [1,8,7,5,3,6,2,4]=>[8,1,2,4,6,3,7,5]=>[1,4,2,1]=>11000101=>4 [8,3,4,6,7,1,2,5]=>[1,6,5,3,2,8,7,4]=>[2,1,1,2,1,1]=>10111011=>4 [1,7,2,4,3,6,8,5]=>[8,2,7,5,6,3,1,4]=>[1,2,2,1,2]=>11010110=>5 [8,5,2,4,7,6,1,3]=>[1,4,7,5,2,3,8,6]=>[3,1,3,1]=>10011001=>4 [1,5,4,7,2,3,6,8]=>[8,4,5,2,7,6,3,1]=>[1,2,2,1,1,1]=>11010111=>4 [6,7,2,5,8,3,4,1]=>[3,2,7,4,1,6,5,8]=>[1,2,1,2,2]=>11011010=>5 [3,8,6,7,4,1,2,5]=>[6,1,3,2,5,8,7,4]=>[1,2,3,1,1]=>11010011=>4 [8,7,3,1,5,6,4,2]=>[1,2,6,8,4,3,5,7]=>[4,1,3]=>10001100=>3 [8,1,2,7,5,6,4,3]=>[1,8,7,2,4,3,5,6]=>[2,1,2,3]=>10110100=>5 [8,7,1,5,2,6,4,3]=>[1,2,8,4,7,3,5,6]=>[3,2,3]=>10010100=>5 [2,8,1,4,7,5,3,6]=>[7,1,8,5,2,4,6,3]=>[1,2,1,3,1]=>11011001=>4 [1,6,8,2,4,7,3,5]=>[8,3,1,7,5,2,6,4]=>[1,1,2,1,2,1]=>11101101=>4 [3,7,4,1,2,5,6,8]=>[6,2,5,8,7,4,3,1]=>[1,3,1,1,1,1]=>11001111=>2 [6,3,4,7,2,5,1,8]=>[3,6,5,2,7,4,8,1]=>[2,1,2,2,1]=>10110101=>6 [6,2,4,5,7,1,3,8]=>[3,7,5,4,2,8,6,1]=>[2,1,1,2,1,1]=>10111011=>4 [7,5,2,4,6,1,8,3]=>[2,4,7,5,3,8,1,6]=>[3,1,2,2]=>10011010=>5 [5,2,4,1,8,3,7,6]=>[4,7,5,8,1,6,2,3]=>[2,2,2,2]=>10101010=>7 [2,3,7,6,8,4,1,5]=>[7,6,2,3,1,5,8,4]=>[1,1,2,3,1]=>11101001=>4 [5,7,6,3,2,1,4,8]=>[4,2,3,6,7,8,5,1]=>[1,5,1,1]=>11000011=>2 [6,1,4,7,5,2,3,8]=>[3,8,5,2,4,7,6,1]=>[2,1,3,1,1]=>10110011=>4 [5,1,8,4,2,6,7,3]=>[4,8,1,5,7,3,2,6]=>[2,3,1,2]=>10100110=>5 [1,7,4,6,8,2,3,5]=>[8,2,5,3,1,7,6,4]=>[1,2,1,2,1,1]=>11011011=>4 [5,7,8,4,6,3,1,2]=>[4,2,1,5,3,6,8,7]=>[1,1,2,3,1]=>11101001=>4 [3,6,7,5,4,1,2,8]=>[6,3,2,4,5,8,7,1]=>[1,1,4,1,1]=>11100011=>2 [5,6,2,3,8,1,7,4]=>[4,3,7,6,1,8,2,5]=>[1,2,1,2,2]=>11011010=>5 [8,2,3,6,4,5,7,1]=>[1,7,6,3,5,4,2,8]=>[2,1,2,1,2]=>10110110=>5 [8,3,6,2,5,1,7,4]=>[1,6,3,7,4,8,2,5]=>[2,2,2,2]=>10101010=>7 [2,4,8,5,1,7,6,3]=>[7,5,1,4,8,2,3,6]=>[1,1,3,3]=>11100100=>3 [7,4,1,3,5,8,2,6]=>[2,5,8,6,4,1,7,3]=>[3,1,1,2,1]=>10011101=>4 [3,6,4,7,2,1,5,8]=>[6,3,5,2,7,8,4,1]=>[1,2,3,1,1]=>11010011=>4 [8,2,1,5,4,7,6,3]=>[1,7,8,4,5,2,3,6]=>[3,2,3]=>10010100=>5 [8,3,1,5,2,6,4,7]=>[1,6,8,4,7,3,5,2]=>[3,2,2,1]=>10010101=>6 [7,3,1,8,5,2,4,6]=>[2,6,8,1,4,7,5,3]=>[3,3,1,1]=>10010011=>4 [7,3,1,8,2,6,4,5]=>[2,6,8,1,7,3,5,4]=>[3,2,2,1]=>10010101=>6 [2,4,6,8,9,7,5,3,1]=>[8,6,4,2,1,3,5,7,9]=>[1,1,1,1,5]=>111110000=>1 [6,3,7,1,2,5,4,8]=>[3,6,2,8,7,4,5,1]=>[2,2,1,2,1]=>10101101=>6 [6,7,2,1,4,3,5,8]=>[3,2,7,8,5,6,4,1]=>[1,3,2,1,1]=>11001011=>4 [7,2,1,3,4,6,5,8]=>[2,7,8,6,5,3,4,1]=>[3,1,1,2,1]=>10011101=>4 [6,2,1,3,7,4,5,8]=>[3,7,8,6,2,5,4,1]=>[3,1,2,1,1]=>10011011=>4 [6,2,1,3,5,4,8,7]=>[3,7,8,6,4,5,1,2]=>[3,1,2,2]=>10011010=>5 [3,7,6,2,8,5,4,1]=>[6,2,3,7,1,4,5,8]=>[1,3,4]=>11001000=>3 [2,3,6,7,4,1,5,8]=>[7,6,3,2,5,8,4,1]=>[1,1,1,3,1,1]=>11110011=>2 [5,7,2,6,8,3,1,4]=>[4,2,7,3,1,6,8,5]=>[1,2,1,3,1]=>11011001=>4 [7,3,2,4,8,5,6,1]=>[2,6,7,5,1,4,3,8]=>[3,1,2,2]=>10011010=>5 [6,2,8,3,4,1,7,5]=>[3,7,1,6,5,8,2,4]=>[2,2,2,2]=>10101010=>7 [7,1,4,8,5,3,6,2]=>[2,8,5,1,4,6,3,7]=>[2,1,3,2]=>10110010=>5 [6,3,1,4,2,5,7,8]=>[3,6,8,5,7,4,2,1]=>[3,2,1,1,1]=>10010111=>4 [7,6,2,5,1,8,3,4]=>[2,3,7,4,8,1,6,5]=>[3,2,2,1]=>10010101=>6 [3,2,8,4,6,1,5,7]=>[6,7,1,5,3,8,4,2]=>[2,2,2,1,1]=>10101011=>6 [6,3,8,5,4,2,1,7]=>[3,6,1,4,5,7,8,2]=>[2,5,1]=>10100001=>4 [2,4,3,8,1,7,6,5]=>[7,5,6,1,8,2,3,4]=>[1,2,2,3]=>11010100=>5 [3,2,4,8,1,6,7,5]=>[6,7,5,1,8,3,2,4]=>[2,1,2,1,2]=>10110110=>5 [2,7,4,1,8,6,5,3]=>[7,2,5,8,1,3,4,6]=>[1,3,4]=>11001000=>3 [7,3,1,8,2,5,4,6]=>[2,6,8,1,7,4,5,3]=>[3,2,2,1]=>10010101=>6 [3,8,6,5,4,7,2,1]=>[6,1,3,4,5,2,7,8]=>[1,4,3]=>11000100=>3 [6,8,5,1,4,7,2,3]=>[3,1,4,8,5,2,7,6]=>[1,3,1,2,1]=>11001101=>4 [2,8,4,6,7,5,1,3]=>[7,1,5,3,2,4,8,6]=>[1,2,1,3,1]=>11011001=>4 [5,1,7,4,6,2,8,3]=>[4,8,2,5,3,7,1,6]=>[2,2,2,2]=>10101010=>7 [2,3,8,7,6,1,5,4]=>[7,6,1,2,3,8,4,5]=>[1,1,4,2]=>11100010=>3 [6,1,8,2,4,7,5,3]=>[3,8,1,7,5,2,4,6]=>[2,2,1,3]=>10101100=>5 [4,8,2,6,5,7,3,1]=>[5,1,7,3,4,2,6,8]=>[1,2,2,3]=>11010100=>5 [7,2,3,1,6,4,5,8]=>[2,7,6,8,3,5,4,1]=>[2,2,2,1,1]=>10101011=>6 [8,2,3,1,6,4,5,7]=>[1,7,6,8,3,5,4,2]=>[2,2,2,1,1]=>10101011=>6 [8,2,5,1,4,7,6,3]=>[1,7,4,8,5,2,3,6]=>[2,2,1,3]=>10101100=>5 [8,5,2,1,3,6,7,4]=>[1,4,7,8,6,3,2,5]=>[4,1,1,2]=>10001110=>3 [5,2,7,3,8,4,6,1]=>[4,7,2,6,1,5,3,8]=>[2,2,2,2]=>10101010=>7 [8,3,5,1,6,2,7,4]=>[1,6,4,8,3,7,2,5]=>[2,2,2,2]=>10101010=>7 [8,2,1,9,7,6,5,4,3]=>[2,8,9,1,3,4,5,6,7]=>[3,6]=>100100000=>3 [8,3,2,1,9,7,6,5,4]=>[2,7,8,9,1,3,4,5,6]=>[4,5]=>100010000=>3 [1,3,2,5,4,8,6,9,7]=>[9,7,8,5,6,2,4,1,3]=>[1,2,2,2,2]=>110101010=>7 [1,3,2,6,4,8,5,9,7]=>[9,7,8,4,6,2,5,1,3]=>[1,2,2,2,2]=>110101010=>7 [1,4,2,6,3,8,5,9,7]=>[9,6,8,4,7,2,5,1,3]=>[1,2,2,2,2]=>110101010=>7 [2,1,4,6,3,8,5,9,7]=>[8,9,6,4,7,2,5,1,3]=>[2,1,2,2,2]=>101101010=>7 [2,1,4,3,6,8,5,9,7]=>[8,9,6,7,4,2,5,1,3]=>[2,2,1,2,2]=>101011010=>7 [1,2,4,6,3,8,5,9,7]=>[9,8,6,4,7,2,5,1,3]=>[1,1,1,2,2,2]=>111101010=>5 [2,4,1,3,6,8,5,9,7]=>[8,6,9,7,4,2,5,1,3]=>[1,2,1,1,2,2]=>110111010=>5 [2,1,4,6,3,5,8,9,7]=>[8,9,6,4,7,5,2,1,3]=>[2,1,2,1,1,2]=>101101110=>5 [2,1,4,3,6,8,5,7,9]=>[8,9,6,7,4,2,5,3,1]=>[2,2,1,2,1,1]=>101011011=>6 [6,7,8,3,1,5,2,4]=>[3,2,1,6,8,4,7,5]=>[1,1,3,2,1]=>11100101=>4 [8,1,3,4,5,6,2,7]=>[1,8,6,5,4,3,7,2]=>[2,1,1,1,2,1]=>10111101=>4 [7,8,1,5,2,3,4,6]=>[2,1,8,4,7,6,5,3]=>[1,2,2,1,1,1]=>11010111=>4 [3,7,6,5,2,8,4,1]=>[6,2,3,4,7,1,5,8]=>[1,4,3]=>11000100=>3 [5,6,4,2,8,7,3,1]=>[4,3,5,7,1,2,6,8]=>[1,3,4]=>11001000=>3 [6,5,3,7,4,2,8,1]=>[3,4,6,2,5,7,1,8]=>[3,3,2]=>10010010=>5 [3,5,8,7,6,2,1,4]=>[6,4,1,2,3,7,8,5]=>[1,1,5,1]=>11100001=>2 [3,5,8,1,6,2,4,7]=>[6,4,1,8,3,7,5,2]=>[1,1,2,2,1,1]=>11101011=>4 [3,8,4,2,6,5,1,7]=>[6,1,5,7,3,4,8,2]=>[1,3,3,1]=>11001001=>4 [4,5,6,8,7,2,3,1]=>[5,4,3,1,2,7,6,8]=>[1,1,1,3,2]=>11110010=>3 [5,2,7,6,1,3,4,8]=>[4,7,2,3,8,6,5,1]=>[2,3,1,1,1]=>10100111=>4 [7,4,3,5,1,8,6,2]=>[2,5,6,4,8,1,3,7]=>[3,2,3]=>10010100=>5 [7,4,5,3,2,1,8,6]=>[2,5,4,6,7,8,1,3]=>[2,4,2]=>10100010=>5 [7,8,4,1,3,5,2,6]=>[2,1,5,8,6,4,7,3]=>[1,3,1,2,1]=>11001101=>4 [2,6,1,7,5,3,4,8]=>[7,3,8,2,4,6,5,1]=>[1,2,3,1,1]=>11010011=>4 [8,3,5,2,4,6,7,1]=>[1,6,4,7,5,3,2,8]=>[2,2,1,1,2]=>10101110=>5 [1,2,5,3,4,6,7,8,9]=>[9,8,5,7,6,4,3,2,1]=>[1,1,2,1,1,1,1,1]=>111011111=>2 [1,2,3,6,4,5,7,8,9]=>[9,8,7,4,6,5,3,2,1]=>[1,1,1,2,1,1,1,1]=>111101111=>2 [7,3,1,6,4,8,5,2]=>[2,6,8,3,5,1,4,7]=>[3,2,3]=>10010100=>5 [3,7,2,6,5,4,8,1]=>[6,2,7,3,4,5,1,8]=>[1,2,3,2]=>11010010=>5 [1,4,5,2,7,8,6,3]=>[8,5,4,7,2,1,3,6]=>[1,1,2,1,3]=>11101100=>3 [3,5,6,4,7,1,2,8]=>[6,4,3,5,2,8,7,1]=>[1,1,2,2,1,1]=>11101011=>4 [3,1,5,6,4,7,2,8]=>[6,8,4,3,5,2,7,1]=>[2,1,2,2,1]=>10110101=>6 [6,3,4,1,5,7,2,8]=>[3,6,5,8,4,2,7,1]=>[2,2,1,2,1]=>10101101=>6 [4,1,8,6,3,2,5,7]=>[5,8,1,3,6,7,4,2]=>[2,4,1,1]=>10100011=>4 [7,1,8,5,2,4,3,6]=>[2,8,1,4,7,5,6,3]=>[2,3,2,1]=>10100101=>6 [2,7,3,1,6,8,5,4]=>[7,2,6,8,3,1,4,5]=>[1,3,1,3]=>11001100=>3 [6,3,1,8,4,2,5,7]=>[3,6,8,1,5,7,4,2]=>[3,3,1,1]=>10010011=>4 [3,7,5,6,8,2,1,4]=>[6,2,4,3,1,7,8,5]=>[1,2,1,3,1]=>11011001=>4 [2,8,3,5,4,6,1,7]=>[7,1,6,4,5,3,8,2]=>[1,2,2,2,1]=>11010101=>6 [2,5,7,1,6,8,4,3]=>[7,4,2,8,3,1,5,6]=>[1,1,2,1,3]=>11101100=>3 [4,1,2,3,6,5,7,8,9]=>[6,9,8,7,4,5,3,2,1]=>[2,1,1,2,1,1,1]=>101110111=>4 [3,1,2,6,4,5,9,7,8]=>[7,9,8,4,6,5,1,3,2]=>[2,1,2,1,2,1]=>101101101=>6 [7,8,6,4,5,1,3,2]=>[2,1,3,5,4,8,6,7]=>[1,3,2,2]=>11001010=>5 [1,4,3,8,2,7,5,6]=>[8,5,6,1,7,2,4,3]=>[1,2,2,2,1]=>11010101=>6 [1,8,3,5,2,4,6,7]=>[8,1,6,4,7,5,3,2]=>[1,2,2,1,1,1]=>11010111=>4 [5,1,4,7,6,2,8,3]=>[4,8,5,2,3,7,1,6]=>[2,1,3,2]=>10110010=>5 [3,8,5,4,1,6,2,7]=>[6,1,4,5,8,3,7,2]=>[1,4,2,1]=>11000101=>4 [5,8,1,3,6,2,4,7]=>[4,1,8,6,3,7,5,2]=>[1,2,1,2,1,1]=>11011011=>4 [5,1,8,3,6,2,4,7]=>[4,8,1,6,3,7,5,2]=>[2,2,2,1,1]=>10101011=>6 [5,8,6,1,3,2,4,7]=>[4,1,3,8,6,7,5,2]=>[1,3,2,1,1]=>11001011=>4 [7,3,6,8,1,4,2,5]=>[2,6,3,1,8,5,7,4]=>[2,1,2,2,1]=>10110101=>6 [3,1,6,8,4,5,2,7]=>[6,8,3,1,5,4,7,2]=>[2,1,2,2,1]=>10110101=>6 [6,1,3,7,5,4,2,8]=>[3,8,6,2,4,5,7,1]=>[2,1,4,1]=>10110001=>4 [2,1,7,5,3,4,8,6]=>[7,8,2,4,6,5,1,3]=>[2,3,1,2]=>10100110=>5 [8,5,1,7,3,4,2,6]=>[1,4,8,2,6,5,7,3]=>[3,2,2,1]=>10010101=>6 [8,3,7,5,6,4,1,2]=>[1,6,2,4,3,5,8,7]=>[2,2,3,1]=>10101001=>6 [8,3,7,6,2,4,1,5]=>[1,6,2,3,7,5,8,4]=>[2,3,2,1]=>10100101=>6 [6,1,8,7,2,4,3,5]=>[3,8,1,2,7,5,6,4]=>[2,3,2,1]=>10100101=>6 [5,2,4,7,3,6,1,8]=>[4,7,5,2,6,3,8,1]=>[2,1,2,2,1]=>10110101=>6 [8,6,7,2,1,5,3,4]=>[1,3,2,7,8,4,6,5]=>[2,3,2,1]=>10100101=>6 [7,8,6,3,5,4,1,2]=>[2,1,3,6,4,5,8,7]=>[1,3,3,1]=>11001001=>4 [4,3,8,6,1,2,7,5]=>[5,6,1,3,8,7,2,4]=>[2,3,1,2]=>10100110=>5 [2,5,4,7,1,3,8,6]=>[7,4,5,2,8,6,1,3]=>[1,2,2,1,2]=>11010110=>5 [3,2,6,8,4,5,1,7]=>[6,7,3,1,5,4,8,2]=>[2,1,2,2,1]=>10110101=>6 [5,1,3,6,2,7,8,4]=>[4,8,6,3,7,2,1,5]=>[2,1,2,1,2]=>10110110=>5 [7,6,1,4,8,5,3,2]=>[2,3,8,5,1,4,6,7]=>[3,1,4]=>10011000=>3 [8,7,6,5,1,4,3,2,9]=>[2,3,4,5,9,6,7,8,1]=>[5,3,1]=>100001001=>4 [8,7,6,5,1,3,9,4,2]=>[2,3,4,5,9,7,1,6,8]=>[5,1,3]=>100001100=>3 [8,7,1,5,9,3,6,2,4]=>[2,3,9,5,1,7,4,8,6]=>[3,1,2,2,1]=>100110101=>6 [8,1,6,9,4,7,2,5,3]=>[2,9,4,1,6,3,8,5,7]=>[2,1,2,2,2]=>101101010=>7 [8,1,6,9,4,7,5,3,2]=>[2,9,4,1,6,3,5,7,8]=>[2,1,2,4]=>101101000=>5 [1,7,8,5,6,2,4,3]=>[8,2,1,4,3,7,5,6]=>[1,1,2,2,2]=>11101010=>5 [6,2,1,4,5,3,8,7]=>[3,7,8,5,4,6,1,2]=>[3,1,2,2]=>10011010=>5 [5,1,6,3,4,8,7,2]=>[4,8,3,6,5,1,2,7]=>[2,2,1,3]=>10101100=>5 [4,1,7,6,8,3,5,2]=>[5,8,2,3,1,6,4,7]=>[2,2,2,2]=>10101010=>7 [5,6,1,8,2,4,3,7]=>[4,3,8,1,7,5,6,2]=>[1,2,2,2,1]=>11010101=>6 [3,7,6,4,1,2,8,5]=>[6,2,3,5,8,7,1,4]=>[1,4,1,2]=>11000110=>3 [1,7,2,6,4,8,3,5]=>[8,2,7,3,5,1,6,4]=>[1,2,2,2,1]=>11010101=>6 [1,7,5,6,2,4,8,3]=>[8,2,4,3,7,5,1,6]=>[1,2,2,1,2]=>11010110=>5 [1,7,4,8,2,3,6,5]=>[8,2,5,1,7,6,3,4]=>[1,2,2,1,2]=>11010110=>5 [1,7,4,8,2,3,5,6]=>[8,2,5,1,7,6,4,3]=>[1,2,2,1,1,1]=>11010111=>4 [4,3,8,5,6,1,2,7]=>[5,6,1,4,3,8,7,2]=>[2,2,2,1,1]=>10101011=>6 [8,6,7,5,2,4,1,3]=>[1,3,2,4,7,5,8,6]=>[2,3,2,1]=>10100101=>6 [4,5,1,3,2,8,7,6]=>[5,4,8,6,7,1,2,3]=>[1,2,2,3]=>11010100=>5 [6,5,8,3,4,7,1,2]=>[3,4,1,6,5,2,8,7]=>[2,2,1,2,1]=>10101101=>6 [7,8,2,6,1,3,5,4]=>[2,1,7,3,8,6,4,5]=>[1,2,2,1,2]=>11010110=>5 [5,8,7,1,2,3,6,4]=>[4,1,2,8,7,6,3,5]=>[1,3,1,1,2]=>11001110=>3 [3,8,2,7,1,4,6,5]=>[6,1,7,2,8,5,3,4]=>[1,2,2,1,2]=>11010110=>5 [5,1,2,8,7,3,6,4]=>[4,8,7,1,2,6,3,5]=>[2,1,3,2]=>10110010=>5 [2,5,4,6,1,8,3,7]=>[7,4,5,3,8,1,6,2]=>[1,2,2,2,1]=>11010101=>6 [2,7,3,6,5,1,4,8]=>[7,2,6,3,4,8,5,1]=>[1,2,3,1,1]=>11010011=>4 [3,4,1,8,5,6,2,7]=>[6,5,8,1,4,3,7,2]=>[1,2,2,2,1]=>11010101=>6 [2,5,1,6,8,4,3,7]=>[7,4,8,3,1,5,6,2]=>[1,2,1,3,1]=>11011001=>4 [6,1,3,7,2,5,4,8]=>[3,8,6,2,7,4,5,1]=>[2,1,2,2,1]=>10110101=>6 [5,8,1,3,4,6,2,7]=>[4,1,8,6,5,3,7,2]=>[1,2,1,1,2,1]=>11011101=>4 [3,8,1,2,6,5,7,4]=>[6,1,8,7,3,4,2,5]=>[1,2,1,2,2]=>11011010=>5 [3,6,8,2,7,4,5,1]=>[6,3,1,7,2,5,4,8]=>[1,1,2,2,2]=>11101010=>5 [1,4,8,7,5,3,6,2]=>[8,5,1,2,4,6,3,7]=>[1,1,4,2]=>11100010=>3 [7,4,2,5,3,6,8,1]=>[2,5,7,4,6,3,1,8]=>[3,2,1,2]=>10010110=>5 [4,6,5,1,8,2,7,3]=>[5,3,4,8,1,7,2,6]=>[1,3,2,2]=>11001010=>5 [2,7,5,6,4,1,8,3]=>[7,2,4,3,5,8,1,6]=>[1,2,3,2]=>11010010=>5 [4,8,3,6,7,5,1,2]=>[5,1,6,3,2,4,8,7]=>[1,2,1,3,1]=>11011001=>4 [1,6,3,2,7,8,5,4]=>[8,3,6,7,2,1,4,5]=>[1,3,1,3]=>11001100=>3 [1,7,6,4,8,5,2,3]=>[8,2,3,5,1,4,7,6]=>[1,3,3,1]=>11001001=>4 [1,7,6,2,5,3,4,8]=>[8,2,3,7,4,6,5,1]=>[1,3,2,1,1]=>11001011=>4 [1,6,4,2,8,5,7,3]=>[8,3,5,7,1,4,2,6]=>[1,3,2,2]=>11001010=>5 [1,4,3,8,6,7,2,5]=>[8,5,6,1,3,2,7,4]=>[1,2,2,2,1]=>11010101=>6 [8,3,7,5,4,2,1,6]=>[1,6,2,4,5,7,8,3]=>[2,5,1]=>10100001=>4 [9,8,7,6,3,2,5,4,1]=>[1,2,3,4,7,8,5,6,9]=>[6,3]=>100000100=>3 [9,8,7,6,2,1,5,4,3]=>[1,2,3,4,8,9,5,6,7]=>[6,3]=>100000100=>3 [2,5,3,6,4,1,7,8]=>[7,4,6,3,5,8,2,1]=>[1,2,3,1,1]=>11010011=>4 [6,2,5,3,1,4,7,8]=>[3,7,4,6,8,5,2,1]=>[2,3,1,1,1]=>10100111=>4 [2,3,8,5,1,6,4,7]=>[7,6,1,4,8,3,5,2]=>[1,1,3,2,1]=>11100101=>4 [2,3,7,6,4,1,8,5]=>[7,6,2,3,5,8,1,4]=>[1,1,4,2]=>11100010=>3 [8,3,4,6,7,2,5,1]=>[1,6,5,3,2,7,4,8]=>[2,1,1,2,2]=>10111010=>5 [7,6,1,2,8,4,3,5]=>[2,3,8,7,1,5,6,4]=>[3,1,3,1]=>10011001=>4 [3,1,7,4,6,8,2,5]=>[6,8,2,5,3,1,7,4]=>[2,2,1,2,1]=>10101101=>6 [7,3,4,1,2,8,5,6]=>[2,6,5,8,7,1,4,3]=>[2,2,1,2,1]=>10101101=>6 [7,1,2,8,6,5,3,4]=>[2,8,7,1,3,4,6,5]=>[2,1,4,1]=>10110001=>4 [8,2,7,3,5,6,4,1]=>[1,7,2,6,4,3,5,8]=>[2,2,1,3]=>10101100=>5 [6,5,2,7,8,3,4,1]=>[3,4,7,2,1,6,5,8]=>[3,1,2,2]=>10011010=>5 [5,2,1,6,3,7,8,4]=>[4,7,8,3,6,2,1,5]=>[3,2,1,2]=>10010110=>5 [6,7,8,5,4,1,3,2]=>[3,2,1,4,5,8,6,7]=>[1,1,4,2]=>11100010=>3 [8,3,5,4,7,2,6,1]=>[1,6,4,5,2,7,3,8]=>[2,2,2,2]=>10101010=>7 [3,6,7,4,8,2,5,1]=>[6,3,2,5,1,7,4,8]=>[1,1,2,2,2]=>11101010=>5 [3,6,8,4,5,2,7,1]=>[6,3,1,5,4,7,2,8]=>[1,1,2,2,2]=>11101010=>5 [8,7,4,1,3,5,6,2]=>[1,2,5,8,6,4,3,7]=>[4,1,1,2]=>10001110=>3 [8,3,1,7,2,5,6,4]=>[1,6,8,2,7,4,3,5]=>[3,2,1,2]=>10010110=>5 [8,3,1,2,7,4,6,5]=>[1,6,8,7,2,5,3,4]=>[3,1,2,2]=>10011010=>5 [8,6,4,5,1,7,3,2]=>[1,3,5,4,8,2,6,7]=>[3,2,3]=>10010100=>5 [4,3,1,6,7,5,2,8]=>[5,6,8,3,2,4,7,1]=>[3,1,3,1]=>10011001=>4 [6,5,3,8,7,4,2,1]=>[3,4,6,1,2,5,7,8]=>[3,5]=>10010000=>3 [8,5,2,6,4,1,3,7]=>[1,4,7,3,5,8,6,2]=>[3,3,1,1]=>10010011=>4 [5,3,2,1,6,8,7,4]=>[4,6,7,8,3,1,2,5]=>[4,1,3]=>10001100=>3 [5,2,3,7,1,4,8,6]=>[4,7,6,2,8,5,1,3]=>[2,1,2,1,2]=>10110110=>5 [4,7,2,3,8,1,5,6]=>[5,2,7,6,1,8,4,3]=>[1,2,1,2,1,1]=>11011011=>4 [7,4,2,3,1,5,8,6]=>[2,5,7,6,8,4,1,3]=>[3,2,1,2]=>10010110=>5 [2,7,4,5,1,6,8,3]=>[7,2,5,4,8,3,1,6]=>[1,2,2,1,2]=>11010110=>5 [6,3,4,7,1,5,8,2]=>[3,6,5,2,8,4,1,7]=>[2,1,2,1,2]=>10110110=>5 [6,3,7,5,4,1,8,2]=>[3,6,2,4,5,8,1,7]=>[2,4,2]=>10100010=>5 [7,3,1,5,4,6,8,2]=>[2,6,8,4,5,3,1,7]=>[3,2,1,2]=>10010110=>5 [2,3,7,5,1,6,8,4]=>[7,6,2,4,8,3,1,5]=>[1,1,3,1,2]=>11100110=>3 [2,7,3,5,1,6,4,8]=>[7,2,6,4,8,3,5,1]=>[1,2,2,2,1]=>11010101=>6 [3,8,1,4,5,2,6,7]=>[6,1,8,5,4,7,3,2]=>[1,2,1,2,1,1]=>11011011=>4 [8,2,1,4,5,3,7,6]=>[1,7,8,5,4,6,2,3]=>[3,1,2,2]=>10011010=>5 [5,4,6,1,7,3,2,8]=>[4,5,3,8,2,6,7,1]=>[2,2,3,1]=>10101001=>6 [4,5,3,1,8,6,2,7]=>[5,4,6,8,1,3,7,2]=>[1,3,3,1]=>11001001=>4 [6,3,2,8,1,5,4,7]=>[3,6,7,1,8,4,5,2]=>[3,2,2,1]=>10010101=>6 [8,1,3,5,4,2,7,6]=>[1,8,6,4,5,7,2,3]=>[2,1,3,2]=>10110010=>5 [7,5,1,2,8,4,3,6]=>[2,4,8,7,1,5,6,3]=>[3,1,3,1]=>10011001=>4 [3,7,8,6,1,5,2,4]=>[6,2,1,3,8,4,7,5]=>[1,1,3,2,1]=>11100101=>4 [6,5,1,4,3,7,8,2]=>[3,4,8,5,6,2,1,7]=>[3,2,1,2]=>10010110=>5 [2,6,4,5,1,7,3,8]=>[7,3,5,4,8,2,6,1]=>[1,2,2,2,1]=>11010101=>6 [8,1,3,2,5,7,6,4]=>[1,8,6,7,4,2,3,5]=>[2,2,1,3]=>10101100=>5 [8,1,6,7,4,3,5,2]=>[1,8,3,2,5,6,4,7]=>[2,1,3,2]=>10110010=>5 [3,9,2,8,1,7,6,5,4]=>[7,1,8,2,9,3,4,5,6]=>[1,2,2,4]=>110101000=>5 [4,9,3,8,2,7,1,6,5]=>[6,1,7,2,8,3,9,4,5]=>[1,2,2,2,2]=>110101010=>7 [3,9,2,8,7,1,6,5,4]=>[7,1,8,2,3,9,4,5,6]=>[1,2,3,3]=>110100100=>5 [5,9,4,8,3,7,1,6,2]=>[5,1,6,2,7,3,9,4,8]=>[1,2,2,2,2]=>110101010=>7 [6,5,4,3,2,9,8,7,1]=>[4,5,6,7,8,1,2,3,9]=>[5,4]=>100001000=>3 [5,4,3,8,7,2,6,1]=>[4,5,6,1,2,7,3,8]=>[3,3,2]=>10010010=>5 [4,3,2,9,8,7,6,5,1]=>[6,7,8,1,2,3,4,5,9]=>[3,6]=>100100000=>3 [6,7,3,4,5,1,8,2]=>[3,2,6,5,4,8,1,7]=>[1,2,1,2,2]=>11011010=>5 [8,2,3,5,1,6,4,7]=>[1,7,6,4,8,3,5,2]=>[2,1,2,2,1]=>10110101=>6 [8,7,2,3,5,1,6,4]=>[1,2,7,6,4,8,3,5]=>[3,1,2,2]=>10011010=>5 [3,6,1,2,8,7,4,5]=>[6,3,8,7,1,2,5,4]=>[1,2,1,3,1]=>11011001=>4 [3,6,1,2,8,5,4,7]=>[6,3,8,7,1,4,5,2]=>[1,2,1,3,1]=>11011001=>4 [3,6,1,2,7,5,4,8]=>[6,3,8,7,2,4,5,1]=>[1,2,1,3,1]=>11011001=>4 [7,1,5,6,2,4,3,8]=>[2,8,4,3,7,5,6,1]=>[2,1,2,2,1]=>10110101=>6 [7,4,1,2,5,8,6,3]=>[2,5,8,7,4,1,3,6]=>[3,1,1,3]=>10011100=>3 [2,7,4,8,3,6,5,1]=>[7,2,5,1,6,3,4,8]=>[1,2,2,3]=>11010100=>5 [1,6,2,4,5,7,3,8]=>[8,3,7,5,4,2,6,1]=>[1,2,1,1,2,1]=>11011101=>4 [5,7,8,4,6,2,3,1]=>[4,2,1,5,3,7,6,8]=>[1,1,2,2,2]=>11101010=>5 [4,7,8,3,5,2,6,1]=>[5,2,1,6,4,7,3,8]=>[1,1,2,2,2]=>11101010=>5 [2,6,8,5,7,3,4,1]=>[7,3,1,4,2,6,5,8]=>[1,1,2,2,2]=>11101010=>5 [6,4,5,1,8,3,7,2]=>[3,5,4,8,1,6,2,7]=>[2,2,2,2]=>10101010=>7 [5,3,1,2,6,4,7,8]=>[4,6,8,7,3,5,2,1]=>[3,1,2,1,1]=>10011011=>4 [7,5,1,2,3,6,4,8]=>[2,4,8,7,6,3,5,1]=>[3,1,1,2,1]=>10011101=>4 [7,3,1,4,2,5,6,8]=>[2,6,8,5,7,4,3,1]=>[3,2,1,1,1]=>10010111=>4 [5,3,4,6,8,7,2,1]=>[4,6,5,3,1,2,7,8]=>[2,1,1,4]=>10111000=>3 [6,3,5,1,4,7,8,2]=>[3,6,4,8,5,2,1,7]=>[2,2,1,1,2]=>10101110=>5 [8,6,1,3,4,2,7,5]=>[1,3,8,6,5,7,2,4]=>[3,1,2,2]=>10011010=>5 [5,4,1,3,8,7,2,6]=>[4,5,8,6,1,2,7,3]=>[3,1,3,1]=>10011001=>4 [8,6,3,5,1,4,7,2]=>[1,3,6,4,8,5,2,7]=>[3,2,1,2]=>10010110=>5 [3,7,5,1,4,2,6,8]=>[6,2,4,8,5,7,3,1]=>[1,3,2,1,1]=>11001011=>4 [3,6,1,7,4,5,8,2]=>[6,3,8,2,5,4,1,7]=>[1,2,2,1,2]=>11010110=>5 [8,7,1,2,6,3,5,4]=>[1,2,8,7,3,6,4,5]=>[3,1,2,2]=>10011010=>5 [8,7,1,5,3,2,4,6]=>[1,2,8,4,6,7,5,3]=>[3,3,1,1]=>10010011=>4 [8,7,2,1,6,5,3,4]=>[1,2,7,8,3,4,6,5]=>[4,3,1]=>10001001=>4 [8,7,3,1,2,6,5,4]=>[1,2,6,8,7,3,4,5]=>[4,1,3]=>10001100=>3 [8,7,5,1,3,2,4,6]=>[1,2,4,8,6,7,5,3]=>[4,2,1,1]=>10001011=>4 [8,7,4,5,2,6,3,1]=>[1,2,5,4,7,3,6,8]=>[3,2,3]=>10010100=>5 [1,6,4,7,3,2,5,8]=>[8,3,5,2,6,7,4,1]=>[1,2,3,1,1]=>11010011=>4 [1,5,6,8,7,2,4,3]=>[8,4,3,1,2,7,5,6]=>[1,1,1,3,2]=>11110010=>3 [1,3,6,4,2,7,8,5]=>[8,6,3,5,7,2,1,4]=>[1,1,3,1,2]=>11100110=>3 [1,4,3,8,5,2,6,7]=>[8,5,6,1,4,7,3,2]=>[1,2,3,1,1]=>11010011=>4 [1,5,4,2,7,8,6,3]=>[8,4,5,7,2,1,3,6]=>[1,3,1,3]=>11001100=>3 [6,7,4,3,2,8,5,1]=>[3,2,5,6,7,1,4,8]=>[1,4,3]=>11000100=>3 [7,1,8,9,6,5,4,3,2]=>[3,9,2,1,4,5,6,7,8]=>[2,1,6]=>101100000=>3 [4,7,6,3,2,1,8,5]=>[5,2,3,6,7,8,1,4]=>[1,5,2]=>11000010=>3 [5,3,6,8,7,4,2,1]=>[4,6,3,1,2,5,7,8]=>[2,1,5]=>10110000=>3 [2,7,3,5,6,8,1,4]=>[7,2,6,4,3,1,8,5]=>[1,2,1,1,2,1]=>11011101=>4 [4,6,5,7,3,1,8,2]=>[5,3,4,2,6,8,1,7]=>[1,2,3,2]=>11010010=>5 [3,4,1,6,8,5,2,7]=>[6,5,8,3,1,4,7,2]=>[1,2,1,3,1]=>11011001=>4 [2,3,5,6,4,8,1,7]=>[7,6,4,3,5,1,8,2]=>[1,1,1,2,2,1]=>11110101=>4 [4,6,7,5,2,8,1,3]=>[5,3,2,4,7,1,8,6]=>[1,1,3,2,1]=>11100101=>4 [4,7,6,3,5,1,2,8]=>[5,2,3,6,4,8,7,1]=>[1,3,2,1,1]=>11001011=>4 [4,8,3,1,6,5,2,7]=>[5,1,6,8,3,4,7,2]=>[1,3,3,1]=>11001001=>4 [3,8,2,4,6,5,1,7]=>[6,1,7,5,3,4,8,2]=>[1,2,1,3,1]=>11011001=>4 [4,7,8,5,2,6,3,1]=>[5,2,1,4,7,3,6,8]=>[1,1,3,3]=>11100100=>3 [2,8,1,5,3,6,4,7]=>[7,1,8,4,6,3,5,2]=>[1,2,2,2,1]=>11010101=>6 [7,2,4,1,5,8,3,6]=>[2,7,5,8,4,1,6,3]=>[2,2,1,2,1]=>10101101=>6 [3,1,4,6,8,5,2,7]=>[6,8,5,3,1,4,7,2]=>[2,1,1,3,1]=>10111001=>4 [2,5,1,8,4,3,6,7]=>[7,4,8,1,5,6,3,2]=>[1,2,3,1,1]=>11010011=>4 [4,6,2,3,1,8,5,7]=>[5,3,7,6,8,1,4,2]=>[1,2,2,2,1]=>11010101=>6 [5,2,3,8,6,7,1,4]=>[4,7,6,1,3,2,8,5]=>[2,1,2,2,1]=>10110101=>6 [3,2,5,8,6,7,1,4]=>[6,7,4,1,3,2,8,5]=>[2,1,2,2,1]=>10110101=>6 [1,7,8,4,6,5,3,2]=>[8,2,1,5,3,4,6,7]=>[1,1,2,4]=>11101000=>3 [2,1,5,8,6,3,4,7]=>[7,8,4,1,3,6,5,2]=>[2,1,3,1,1]=>10110011=>4 [5,1,4,8,6,7,2,3]=>[4,8,5,1,3,2,7,6]=>[2,1,2,2,1]=>10110101=>6 [2,1,3,5,8,6,4,7]=>[7,8,6,4,1,3,5,2]=>[2,1,1,3,1]=>10111001=>4 [1,3,6,7,8,4,5,2]=>[8,6,3,2,1,5,4,7]=>[1,1,1,1,2,2]=>11111010=>3 [1,3,7,8,4,5,2,6]=>[8,6,2,1,5,4,7,3]=>[1,1,1,2,2,1]=>11110101=>4 [8,4,6,5,1,2,3,7]=>[1,5,3,4,8,7,6,2]=>[2,3,1,1,1]=>10100111=>4 [8,5,7,3,1,4,6,2]=>[1,4,2,6,8,5,3,7]=>[2,3,1,2]=>10100110=>5 [8,4,7,1,6,3,2,5]=>[1,5,2,8,3,6,7,4]=>[2,2,3,1]=>10101001=>6 [8,7,2,3,6,4,5,1]=>[1,2,7,6,3,5,4,8]=>[3,1,2,2]=>10011010=>5 [8,7,2,3,6,4,1,5]=>[1,2,7,6,3,5,8,4]=>[3,1,3,1]=>10011001=>4 [8,1,2,7,6,5,3,4]=>[1,8,7,2,3,4,6,5]=>[2,1,4,1]=>10110001=>4 [3,7,4,6,8,5,1,2]=>[6,2,5,3,1,4,8,7]=>[1,2,1,3,1]=>11011001=>4 [5,4,3,1,2,6,8,7]=>[4,5,6,8,7,3,1,2]=>[4,1,1,2]=>10001110=>3 [2,5,3,6,4,8,1,7]=>[7,4,6,3,5,1,8,2]=>[1,2,2,2,1]=>11010101=>6 [2,5,8,1,4,3,6,7]=>[7,4,1,8,5,6,3,2]=>[1,1,2,2,1,1]=>11101011=>4 [2,3,8,1,7,5,4,6]=>[7,6,1,8,2,4,5,3]=>[1,1,2,3,1]=>11101001=>4 [5,1,7,3,4,6,2,8]=>[4,8,2,6,5,3,7,1]=>[2,2,1,2,1]=>10101101=>6 [8,2,3,7,6,1,5,4]=>[1,7,6,2,3,8,4,5]=>[2,1,3,2]=>10110010=>5 [4,6,1,5,3,7,2,8]=>[5,3,8,4,6,2,7,1]=>[1,2,2,2,1]=>11010101=>6 [4,8,2,5,3,6,1,7]=>[5,1,7,4,6,3,8,2]=>[1,2,2,2,1]=>11010101=>6 [5,8,4,3,1,2,6,7]=>[4,1,5,6,8,7,3,2]=>[1,4,1,1,1]=>11000111=>2 [6,5,4,1,7,3,2,8]=>[3,4,5,8,2,6,7,1]=>[4,3,1]=>10001001=>4 [8,2,6,4,5,7,1,3]=>[1,7,3,5,4,2,8,6]=>[2,2,1,2,1]=>10101101=>6 [2,1,8,3,5,4,6,7]=>[7,8,1,6,4,5,3,2]=>[2,2,2,1,1]=>10101011=>6 [6,1,3,5,8,4,7,2]=>[3,8,6,4,1,5,2,7]=>[2,1,1,2,2]=>10111010=>5 [2,7,5,4,6,1,3,8]=>[7,2,4,5,3,8,6,1]=>[1,3,2,1,1]=>11001011=>4 [7,3,6,1,2,8,5,4]=>[2,6,3,8,7,1,4,5]=>[2,2,1,3]=>10101100=>5 [7,2,1,8,4,6,3,5]=>[2,7,8,1,5,3,6,4]=>[3,2,2,1]=>10010101=>6 [6,5,3,4,1,8,7,2]=>[3,4,6,5,8,1,2,7]=>[3,2,3]=>10010100=>5 [8,4,5,3,2,7,1,6]=>[1,5,4,6,7,2,8,3]=>[2,3,2,1]=>10100101=>6 [6,5,3,2,8,4,7,1]=>[3,4,6,7,1,5,2,8]=>[4,2,2]=>10001010=>5 [3,2,4,8,5,1,6,7]=>[6,7,5,1,4,8,3,2]=>[2,1,3,1,1]=>10110011=>4 [4,8,3,1,6,2,5,7]=>[5,1,6,8,3,7,4,2]=>[1,3,2,1,1]=>11001011=>4 [8,3,4,2,6,1,5,7]=>[1,6,5,7,3,8,4,2]=>[2,2,2,1,1]=>10101011=>6 [6,2,1,3,4,7,5,8]=>[3,7,8,6,5,2,4,1]=>[3,1,1,2,1]=>10011101=>4 [5,4,7,2,1,3,6,8]=>[4,5,2,7,8,6,3,1]=>[2,3,1,1,1]=>10100111=>4 [5,8,3,2,4,6,7,1]=>[4,1,6,7,5,3,2,8]=>[1,3,1,1,2]=>11001110=>3 [8,1,2,6,4,7,3,5]=>[1,8,7,3,5,2,6,4]=>[2,1,2,2,1]=>10110101=>6 [4,5,7,8,1,3,2,6]=>[5,4,2,1,8,6,7,3]=>[1,1,1,2,2,1]=>11110101=>4 [4,1,7,5,3,8,2,6]=>[5,8,2,4,6,1,7,3]=>[2,3,2,1]=>10100101=>6 [3,2,5,8,1,6,4,7]=>[6,7,4,1,8,3,5,2]=>[2,1,2,2,1]=>10110101=>6 [3,1,2,4,5,8,7,6]=>[6,8,7,5,4,1,2,3]=>[2,1,1,1,3]=>10111100=>3 [4,2,7,5,3,1,6,8]=>[5,7,2,4,6,8,3,1]=>[2,4,1,1]=>10100011=>4 [7,3,2,8,5,6,4,1]=>[2,6,7,1,4,3,5,8]=>[3,2,3]=>10010100=>5 [7,3,6,2,5,8,4,1]=>[2,6,3,7,4,1,5,8]=>[2,2,1,3]=>10101100=>5 [8,6,2,7,3,5,4,1]=>[1,3,7,2,6,4,5,8]=>[3,2,3]=>10010100=>5 [8,1,7,6,5,4,3,9,2]=>[2,9,3,4,5,6,7,1,8]=>[2,5,2]=>101000010=>5 [7,1,8,6,5,4,3,2,9]=>[3,9,2,4,5,6,7,8,1]=>[2,6,1]=>101000001=>4 [6,3,8,5,1,2,7,4]=>[3,6,1,4,8,7,2,5]=>[2,3,1,2]=>10100110=>5 [1,4,5,8,3,7,2,6]=>[8,5,4,1,6,2,7,3]=>[1,1,1,2,2,1]=>11110101=>4 [6,3,1,5,8,4,7,2]=>[3,6,8,4,1,5,2,7]=>[3,1,2,2]=>10011010=>5 [7,5,4,1,6,8,3,2]=>[2,4,5,8,3,1,6,7]=>[4,1,3]=>10001100=>3 [3,7,2,6,1,4,8,5]=>[6,2,7,3,8,5,1,4]=>[1,2,2,1,2]=>11010110=>5 [2,8,7,4,6,5,1,3]=>[7,1,2,5,3,4,8,6]=>[1,3,3,1]=>11001001=>4 [2,3,6,4,8,5,1,7]=>[7,6,3,5,1,4,8,2]=>[1,1,2,3,1]=>11101001=>4 [7,2,5,1,8,6,3,4]=>[2,7,4,8,1,3,6,5]=>[2,2,3,1]=>10101001=>6 [6,3,1,5,7,2,8,4]=>[3,6,8,4,2,7,1,5]=>[3,1,2,2]=>10011010=>5 [6,4,1,3,8,2,7,5]=>[3,5,8,6,1,7,2,4]=>[3,1,2,2]=>10011010=>5 [6,3,1,2,5,4,7,8]=>[3,6,8,7,4,5,2,1]=>[3,1,2,1,1]=>10011011=>4 [7,8,1,5,3,4,2,6]=>[2,1,8,4,6,5,7,3]=>[1,2,2,2,1]=>11010101=>6 [5,3,4,7,2,6,8,1]=>[4,6,5,2,7,3,1,8]=>[2,1,2,1,2]=>10110110=>5 [8,2,5,1,4,6,3,7]=>[1,7,4,8,5,3,6,2]=>[2,2,1,2,1]=>10101101=>6 [1,5,4,8,6,7,3,2]=>[8,4,5,1,3,2,6,7]=>[1,2,2,3]=>11010100=>5 [7,6,8,2,5,3,1,4]=>[2,3,1,7,4,6,8,5]=>[2,2,3,1]=>10101001=>6 [2,3,8,5,4,1,7,6]=>[7,6,1,4,5,8,2,3]=>[1,1,4,2]=>11100010=>3 [3,1,4,5,8,7,6,2]=>[6,8,5,4,1,2,3,7]=>[2,1,1,4]=>10111000=>3 [1,8,7,5,6,3,2,4]=>[8,1,2,4,3,6,7,5]=>[1,3,3,1]=>11001001=>4 [2,8,5,1,3,6,4,7]=>[7,1,4,8,6,3,5,2]=>[1,3,1,2,1]=>11001101=>4 [7,6,1,5,4,2,3,8]=>[2,3,8,4,5,7,6,1]=>[3,3,1,1]=>10010011=>4 [7,3,4,6,1,8,5,2]=>[2,6,5,3,8,1,4,7]=>[2,1,2,3]=>10110100=>5 [1,2,4,3,9,5,6,7,8]=>[9,8,6,7,1,5,4,3,2]=>[1,1,2,2,1,1,1]=>111010111=>4 [5,7,6,3,4,8,2,1]=>[4,2,3,6,5,1,7,8]=>[1,3,1,3]=>11001100=>3 [5,6,8,3,4,7,2,1]=>[4,3,1,6,5,2,7,8]=>[1,1,2,1,3]=>11101100=>3 [6,3,4,8,5,2,7,1]=>[3,6,5,1,4,7,2,8]=>[2,1,3,2]=>10110010=>5 [5,4,7,2,8,6,3,1]=>[4,5,2,7,1,3,6,8]=>[2,2,4]=>10101000=>5 [1,6,7,3,4,5,2,8]=>[8,3,2,6,5,4,7,1]=>[1,1,2,1,2,1]=>11101101=>4 [5,8,6,3,4,2,7,1]=>[4,1,3,6,5,7,2,8]=>[1,3,2,2]=>11001010=>5 [5,8,6,1,4,3,7,2]=>[4,1,3,8,5,6,2,7]=>[1,3,2,2]=>11001010=>5 [7,8,5,2,4,6,1,3]=>[2,1,4,7,5,3,8,6]=>[1,3,1,2,1]=>11001101=>4 [5,7,1,6,3,2,4,8]=>[4,2,8,3,6,7,5,1]=>[1,2,3,1,1]=>11010011=>4 [5,8,6,2,4,3,7,1]=>[4,1,3,7,5,6,2,8]=>[1,3,2,2]=>11001010=>5 [5,6,4,8,3,2,7,1]=>[4,3,5,1,6,7,2,8]=>[1,2,3,2]=>11010010=>5 [4,6,5,8,3,7,2,1]=>[5,3,4,1,6,2,7,8]=>[1,2,2,3]=>11010100=>5 [4,5,7,1,8,3,2,6]=>[5,4,2,8,1,6,7,3]=>[1,1,2,3,1]=>11101001=>4 [4,5,8,6,7,3,1,2]=>[5,4,1,3,2,6,8,7]=>[1,1,2,3,1]=>11101001=>4 [5,2,8,3,1,7,6,4]=>[4,7,1,6,8,2,3,5]=>[2,3,3]=>10100100=>5 [6,3,1,5,8,7,4,2]=>[3,6,8,4,1,2,5,7]=>[3,1,4]=>10011000=>3 [8,6,1,3,2,5,4,7]=>[1,3,8,6,7,4,5,2]=>[3,2,2,1]=>10010101=>6 [6,4,1,8,3,5,2,7]=>[3,5,8,1,6,4,7,2]=>[3,2,2,1]=>10010101=>6 [2,8,4,3,6,5,1,7]=>[7,1,5,6,3,4,8,2]=>[1,3,3,1]=>11001001=>4 [2,8,1,4,6,5,3,7]=>[7,1,8,5,3,4,6,2]=>[1,2,1,3,1]=>11011001=>4 [6,2,8,3,1,5,4,7]=>[3,7,1,6,8,4,5,2]=>[2,3,2,1]=>10100101=>6 [8,5,6,2,1,7,3,4]=>[1,4,3,7,8,2,6,5]=>[2,3,2,1]=>10100101=>6 [5,8,6,2,1,7,4,3]=>[4,1,3,7,8,2,5,6]=>[1,4,3]=>11000100=>3 [4,8,3,5,2,1,7,6]=>[5,1,6,4,7,8,2,3]=>[1,2,3,2]=>11010010=>5 [6,2,8,7,4,3,1,5]=>[3,7,1,2,5,6,8,4]=>[2,5,1]=>10100001=>4 [1,4,8,7,3,2,5,6]=>[8,5,1,2,6,7,4,3]=>[1,1,4,1,1]=>11100011=>2 [3,8,2,6,5,4,7,1]=>[6,1,7,3,4,5,2,8]=>[1,2,3,2]=>11010010=>5 [1,4,3,8,7,5,2,6]=>[8,5,6,1,2,4,7,3]=>[1,2,4,1]=>11010001=>4 [4,8,7,2,3,5,6,1]=>[5,1,2,7,6,4,3,8]=>[1,3,1,1,2]=>11001110=>3 [8,5,2,4,7,3,6,1]=>[1,4,7,5,2,6,3,8]=>[3,1,2,2]=>10011010=>5 [6,1,5,4,2,8,3,7]=>[3,8,4,5,7,1,6,2]=>[2,3,2,1]=>10100101=>6 [5,2,6,7,3,1,8,4]=>[4,7,3,2,6,8,1,5]=>[2,1,3,2]=>10110010=>5 [6,2,3,8,5,4,1,7]=>[3,7,6,1,4,5,8,2]=>[2,1,4,1]=>10110001=>4 [3,7,5,6,1,8,2,4]=>[6,2,4,3,8,1,7,5]=>[1,2,2,2,1]=>11010101=>6 [7,8,2,6,4,3,1,5]=>[2,1,7,3,5,6,8,4]=>[1,2,4,1]=>11010001=>4 [3,5,6,1,4,7,2,8]=>[6,4,3,8,5,2,7,1]=>[1,1,2,1,2,1]=>11101101=>4 [1,7,2,9,3,4,5,6,8]=>[9,3,8,1,7,6,5,4,2]=>[1,2,2,1,1,1,1]=>110101111=>4 [5,8,4,2,7,1,3,6]=>[4,1,5,7,2,8,6,3]=>[1,3,2,1,1]=>11001011=>4 [4,7,2,5,1,8,6,3]=>[5,2,7,4,8,1,3,6]=>[1,2,2,3]=>11010100=>5 [2,5,4,3,7,1,8,6]=>[7,4,5,6,2,8,1,3]=>[1,3,2,2]=>11001010=>5 [1,8,4,3,6,7,2,5]=>[8,1,5,6,3,2,7,4]=>[1,3,1,2,1]=>11001101=>4 [6,7,3,4,2,8,5,1]=>[3,2,6,5,7,1,4,8]=>[1,2,2,3]=>11010100=>5 [8,4,7,3,2,1,6,5]=>[1,5,2,6,7,8,3,4]=>[2,4,2]=>10100010=>5 [1,4,6,5,7,8,2,3]=>[8,5,3,4,2,1,7,6]=>[1,1,2,1,2,1]=>11101101=>4 [9,4,5,3,6,2,7,1,8]=>[1,6,5,7,4,8,3,9,2]=>[2,2,2,2,1]=>101010101=>8 [6,8,5,7,4,1,3,2]=>[3,1,4,2,5,8,6,7]=>[1,2,3,2]=>11010010=>5 [6,8,1,7,5,3,2,4]=>[3,1,8,2,4,6,7,5]=>[1,2,4,1]=>11010001=>4 [6,7,2,5,1,3,8,4]=>[3,2,7,4,8,6,1,5]=>[1,2,2,1,2]=>11010110=>5 [8,4,2,6,1,3,7,5]=>[1,5,7,3,8,6,2,4]=>[3,2,1,2]=>10010110=>5 [7,2,4,6,8,5,1,3]=>[2,7,5,3,1,4,8,6]=>[2,1,1,3,1]=>10111001=>4 [8,1,3,4,7,5,2,6]=>[1,8,6,5,2,4,7,3]=>[2,1,1,3,1]=>10111001=>4 [4,8,7,2,3,6,5,1]=>[5,1,2,7,6,3,4,8]=>[1,3,1,3]=>11001100=>3 [8,3,2,4,1,5,7,6]=>[1,6,7,5,8,4,2,3]=>[3,2,1,2]=>10010110=>5 [2,7,5,1,6,3,4,8]=>[7,2,4,8,3,6,5,1]=>[1,3,2,1,1]=>11001011=>4 [2,4,6,3,7,1,5,8]=>[7,5,3,6,2,8,4,1]=>[1,1,2,2,1,1]=>11101011=>4 [1,5,3,8,6,2,7,4]=>[8,4,6,1,3,7,2,5]=>[1,2,3,2]=>11010010=>5 [3,6,5,1,8,7,2,4]=>[6,3,4,8,1,2,7,5]=>[1,3,3,1]=>11001001=>4 [2,6,3,8,5,7,1,4]=>[7,3,6,1,4,2,8,5]=>[1,2,2,2,1]=>11010101=>6 [7,6,8,2,1,4,3,5]=>[2,3,1,7,8,5,6,4]=>[2,3,2,1]=>10100101=>6 [7,3,4,2,1,6,8,5]=>[2,6,5,7,8,3,1,4]=>[2,3,1,2]=>10100110=>5 [6,7,2,4,3,1,8,5]=>[3,2,7,5,6,8,1,4]=>[1,2,3,2]=>11010010=>5 [4,7,2,1,8,6,3,5]=>[5,2,7,8,1,3,6,4]=>[1,3,3,1]=>11001001=>4 [4,1,2,5,8,6,3,7]=>[5,8,7,4,1,3,6,2]=>[2,1,1,3,1]=>10111001=>4 [4,1,6,2,8,5,3,7]=>[5,8,3,7,1,4,6,2]=>[2,2,3,1]=>10101001=>6 [7,4,1,8,6,5,2,3]=>[2,5,8,1,3,4,7,6]=>[3,4,1]=>10010001=>4 [7,4,2,5,8,6,1,3]=>[2,5,7,4,1,3,8,6]=>[3,1,3,1]=>10011001=>4 [5,2,6,4,7,8,1,3]=>[4,7,3,5,2,1,8,6]=>[2,2,1,2,1]=>10101101=>6 [1,5,4,7,8,2,3,6]=>[8,4,5,2,1,7,6,3]=>[1,2,1,2,1,1]=>11011011=>4 [3,2,5,7,8,1,4,6]=>[6,7,4,2,1,8,5,3]=>[2,1,1,2,1,1]=>10111011=>4 [1,4,6,3,7,8,2,5]=>[8,5,3,6,2,1,7,4]=>[1,1,2,1,2,1]=>11101101=>4 [6,3,5,2,7,8,1,4]=>[3,6,4,7,2,1,8,5]=>[2,2,1,2,1]=>10101101=>6 [4,1,7,8,6,2,5,3]=>[5,8,2,1,3,7,4,6]=>[2,1,3,2]=>10110010=>5 [6,8,3,4,2,7,5,1]=>[3,1,6,5,7,2,4,8]=>[1,2,2,3]=>11010100=>5 [4,8,2,7,3,1,6,5]=>[5,1,7,2,6,8,3,4]=>[1,2,3,2]=>11010010=>5 [8,3,2,5,7,1,6,4]=>[1,6,7,4,2,8,3,5]=>[3,1,2,2]=>10011010=>5 [8,3,1,6,4,7,5,2]=>[1,6,8,3,5,2,4,7]=>[3,2,3]=>10010100=>5 [2,5,8,3,4,7,6,1]=>[7,4,1,6,5,2,3,8]=>[1,1,2,1,3]=>11101100=>3 [4,8,6,5,2,1,3,7]=>[5,1,3,4,7,8,6,2]=>[1,5,1,1]=>11000011=>2 [1,5,3,6,7,2,4,8]=>[8,4,6,3,2,7,5,1]=>[1,2,1,2,1,1]=>11011011=>4 [8,3,6,2,1,5,7,4]=>[1,6,3,7,8,4,2,5]=>[2,3,1,2]=>10100110=>5 [1,8,6,4,3,5,2,7]=>[8,1,3,5,6,4,7,2]=>[1,4,2,1]=>11000101=>4 [4,6,2,5,3,7,1,8]=>[5,3,7,4,6,2,8,1]=>[1,2,2,2,1]=>11010101=>6 [6,4,5,1,3,7,8,2]=>[3,5,4,8,6,2,1,7]=>[2,2,1,1,2]=>10101110=>5 [7,1,4,3,6,8,5,2]=>[2,8,5,6,3,1,4,7]=>[2,2,1,3]=>10101100=>5 [5,1,8,2,4,7,6,3]=>[4,8,1,7,5,2,3,6]=>[2,2,1,3]=>10101100=>5 [4,7,5,2,8,3,6,1]=>[5,2,4,7,1,6,3,8]=>[1,3,2,2]=>11001010=>5 [6,4,2,8,3,7,5,1]=>[3,5,7,1,6,2,4,8]=>[3,2,3]=>10010100=>5 [5,2,7,3,8,6,4,1]=>[4,7,2,6,1,3,5,8]=>[2,2,4]=>10101000=>5 [2,4,3,7,1,5,8,6]=>[7,5,6,2,8,4,1,3]=>[1,2,2,1,2]=>11010110=>5 [4,2,5,6,3,8,7,1]=>[5,7,4,3,6,1,2,8]=>[2,1,2,3]=>10110100=>5 [3,1,4,7,8,6,2,5]=>[6,8,5,2,1,3,7,4]=>[2,1,1,3,1]=>10111001=>4 [7,6,8,2,4,3,1,5]=>[2,3,1,7,5,6,8,4]=>[2,2,3,1]=>10101001=>6 [9,8,1,7,6,5,4,2,3]=>[1,2,9,3,4,5,6,8,7]=>[3,5,1]=>100100001=>4 [9,8,7,1,6,5,4,2,3]=>[1,2,3,9,4,5,6,8,7]=>[4,4,1]=>100010001=>4 [9,8,7,6,1,5,4,2,3]=>[1,2,3,4,9,5,6,8,7]=>[5,3,1]=>100001001=>4 [9,8,7,6,5,1,4,2,3]=>[1,2,3,4,5,9,6,8,7]=>[6,2,1]=>100000101=>4 [9,8,7,6,1,5,2,4,3]=>[1,2,3,4,9,5,8,6,7]=>[5,2,2]=>100001010=>5 [8,2,7,4,3,1,6,5]=>[1,7,2,5,6,8,3,4]=>[2,4,2]=>10100010=>5 [8,3,1,4,5,2,7,6]=>[1,6,8,5,4,7,2,3]=>[3,1,2,2]=>10011010=>5 [8,6,1,7,4,3,5,2]=>[1,3,8,2,5,6,4,7]=>[3,3,2]=>10010010=>5 [2,7,4,1,3,8,6,5]=>[7,2,5,8,6,1,3,4]=>[1,3,1,3]=>11001100=>3 [1,2,3,6,5,4,7,8,9]=>[9,8,7,4,5,6,3,2,1]=>[1,1,1,3,1,1,1]=>111100111=>2 [3,4,6,7,5,8,9,1,2]=>[7,6,4,3,5,2,1,9,8]=>[1,1,1,2,1,2,1]=>111101101=>4 [3,4,7,5,6,8,9,1,2]=>[7,6,3,5,4,2,1,9,8]=>[1,1,2,1,1,2,1]=>111011101=>4 [4,6,7,5,8,1,3,2]=>[5,3,2,4,1,8,6,7]=>[1,1,2,2,2]=>11101010=>5 [5,4,2,8,1,7,3,6]=>[4,5,7,1,8,2,6,3]=>[3,2,2,1]=>10010101=>6 [7,6,4,2,1,8,5,3]=>[2,3,5,7,8,1,4,6]=>[5,3]=>10000100=>3 [6,5,1,8,3,2,4,7]=>[3,4,8,1,6,7,5,2]=>[3,3,1,1]=>10010011=>4 [2,4,8,3,5,1,7,6]=>[7,5,1,6,4,8,2,3]=>[1,1,2,2,2]=>11101010=>5 [8,6,4,3,5,1,7,2]=>[1,3,5,6,4,8,2,7]=>[4,2,2]=>10001010=>5 [5,1,2,8,3,4,7,6]=>[4,8,7,1,6,5,2,3]=>[2,1,2,1,2]=>10110110=>5 [4,6,3,2,5,7,1,8]=>[5,3,6,7,4,2,8,1]=>[1,3,1,2,1]=>11001101=>4 [6,2,3,7,1,8,4,5]=>[3,7,6,2,8,1,5,4]=>[2,1,2,2,1]=>10110101=>6 [3,6,7,1,5,2,4,8]=>[6,3,2,8,4,7,5,1]=>[1,1,2,2,1,1]=>11101011=>4 [4,5,7,2,3,1,6,8]=>[5,4,2,7,6,8,3,1]=>[1,1,2,2,1,1]=>11101011=>4 [6,2,7,4,1,3,5,8]=>[3,7,2,5,8,6,4,1]=>[2,3,1,1,1]=>10100111=>4 [1,8,3,6,5,2,4,7]=>[8,1,6,3,4,7,5,2]=>[1,2,3,1,1]=>11010011=>4 [4,5,7,3,1,2,6,8]=>[5,4,2,6,8,7,3,1]=>[1,1,3,1,1,1]=>11100111=>2 [6,7,1,2,5,3,4,8]=>[3,2,8,7,4,6,5,1]=>[1,2,1,2,1,1]=>11011011=>4 [4,3,2,7,1,8,5,6]=>[5,6,7,2,8,1,4,3]=>[3,2,2,1]=>10010101=>6 [3,1,5,2,8,6,4,7]=>[6,8,4,7,1,3,5,2]=>[2,2,3,1]=>10101001=>6 [2,7,6,3,1,8,5,4]=>[7,2,3,6,8,1,4,5]=>[1,4,3]=>11000100=>3 [5,2,7,1,6,8,4,3]=>[4,7,2,8,3,1,5,6]=>[2,2,1,3]=>10101100=>5 [6,2,4,7,1,5,3,8]=>[3,7,5,2,8,4,6,1]=>[2,1,2,2,1]=>10110101=>6 [8,7,1,6,5,4,3,2,9]=>[2,3,9,4,5,6,7,8,1]=>[3,5,1]=>100100001=>4 [1,8,5,2,4,3,6,7]=>[8,1,4,7,5,6,3,2]=>[1,3,2,1,1]=>11001011=>4 [8,6,7,1,2,4,5,3]=>[1,3,2,8,7,5,4,6]=>[2,2,1,1,2]=>10101110=>5 [7,2,1,4,6,8,3,5]=>[2,7,8,5,3,1,6,4]=>[3,1,1,2,1]=>10011101=>4 [8,2,3,5,7,4,6,1]=>[1,7,6,4,2,5,3,8]=>[2,1,1,2,2]=>10111010=>5 [6,1,3,2,4,5,7,8]=>[3,8,6,7,5,4,2,1]=>[2,2,1,1,1,1]=>10101111=>4 [2,8,1,7,3,6,5,4]=>[7,1,8,2,6,3,4,5]=>[1,2,2,3]=>11010100=>5 [7,2,6,3,8,5,1,4]=>[2,7,3,6,1,4,8,5]=>[2,2,3,1]=>10101001=>6 [7,2,3,6,1,4,5,8]=>[2,7,6,3,8,5,4,1]=>[2,1,2,1,1,1]=>10110111=>4 [8,2,7,1,5,6,3,4]=>[1,7,2,8,4,3,6,5]=>[2,2,1,2,1]=>10101101=>6 [8,1,3,4,2,7,5,6]=>[1,8,6,5,7,2,4,3]=>[2,1,2,2,1]=>10110101=>6 [8,1,3,6,2,7,4,5]=>[1,8,6,3,7,2,5,4]=>[2,1,2,2,1]=>10110101=>6 [8,2,6,7,3,1,4,5]=>[1,7,3,2,6,8,5,4]=>[2,1,3,1,1]=>10110011=>4 [4,1,7,8,5,6,2,3]=>[5,8,2,1,4,3,7,6]=>[2,1,2,2,1]=>10110101=>6 [2,1,3,8,5,6,4,7]=>[7,8,6,1,4,3,5,2]=>[2,1,2,2,1]=>10110101=>6 [7,4,6,2,5,8,3,1]=>[2,5,3,7,4,1,6,8]=>[2,2,1,3]=>10101100=>5 [6,5,7,1,3,4,2,8]=>[3,4,2,8,6,5,7,1]=>[2,2,1,2,1]=>10101101=>6 [2,7,4,3,8,6,5,1]=>[7,2,5,6,1,3,4,8]=>[1,3,4]=>11001000=>3 [4,7,5,3,2,1,8,6]=>[5,2,4,6,7,8,1,3]=>[1,5,2]=>11000010=>3 [2,7,5,8,4,6,1,3]=>[7,2,4,1,5,3,8,6]=>[1,2,2,2,1]=>11010101=>6 [5,4,7,3,1,6,2,8]=>[4,5,2,6,8,3,7,1]=>[2,3,2,1]=>10100101=>6 [6,4,1,3,8,7,2,5]=>[3,5,8,6,1,2,7,4]=>[3,1,3,1]=>10011001=>4 [8,3,6,5,7,2,1,4]=>[1,6,3,4,2,7,8,5]=>[2,2,3,1]=>10101001=>6 [2,3,6,8,5,4,7,1]=>[7,6,3,1,4,5,2,8]=>[1,1,1,3,2]=>11110010=>3 [4,2,1,7,5,6,3,8]=>[5,7,8,2,4,3,6,1]=>[3,2,2,1]=>10010101=>6 [8,4,3,6,1,5,7,2]=>[1,5,6,3,8,4,2,7]=>[3,2,1,2]=>10010110=>5 [4,5,1,6,3,7,8,2]=>[5,4,8,3,6,2,1,7]=>[1,2,2,1,2]=>11010110=>5 [3,7,5,6,8,1,4,2]=>[6,2,4,3,1,8,5,7]=>[1,2,1,2,2]=>11011010=>5 [5,2,4,6,3,7,1,8]=>[4,7,5,3,6,2,8,1]=>[2,1,2,2,1]=>10110101=>6 [5,4,2,6,3,8,1,7]=>[4,5,7,3,6,1,8,2]=>[3,2,2,1]=>10010101=>6 [6,2,1,4,5,7,3,8]=>[3,7,8,5,4,2,6,1]=>[3,1,1,2,1]=>10011101=>4 [5,7,8,4,6,1,3,2]=>[4,2,1,5,3,8,6,7]=>[1,1,2,2,2]=>11101010=>5 [7,2,4,5,3,1,8,6]=>[2,7,5,4,6,8,1,3]=>[2,1,3,2]=>10110010=>5 [2,7,4,5,3,1,8,6]=>[7,2,5,4,6,8,1,3]=>[1,2,3,2]=>11010010=>5 [7,1,4,5,3,2,8,6]=>[2,8,5,4,6,7,1,3]=>[2,1,3,2]=>10110010=>5 [2,3,7,1,5,4,8,6]=>[7,6,2,8,4,5,1,3]=>[1,1,2,2,2]=>11101010=>5 [7,1,2,4,3,8,5,6]=>[2,8,7,5,6,1,4,3]=>[2,1,2,2,1]=>10110101=>6 [2,4,7,6,5,1,3,8]=>[7,5,2,3,4,8,6,1]=>[1,1,4,1,1]=>11100011=>2 [1,4,3,8,2,7,6,5]=>[8,5,6,1,7,2,3,4]=>[1,2,2,3]=>11010100=>5 [3,1,2,7,8,6,5,4]=>[6,8,7,2,1,3,4,5]=>[2,1,1,4]=>10111000=>3 [3,1,5,4,2,8,7,6]=>[6,8,4,5,7,1,2,3]=>[2,3,3]=>10100100=>5 [4,7,5,1,8,3,2,6]=>[5,2,4,8,1,6,7,3]=>[1,3,3,1]=>11001001=>4 [1,5,7,8,3,2,6,4]=>[8,4,2,1,6,7,3,5]=>[1,1,1,3,2]=>11110010=>3 [8,2,4,3,1,6,7,5]=>[1,7,5,6,8,3,2,4]=>[2,3,1,2]=>10100110=>5 [8,3,6,4,2,1,7,5]=>[1,6,3,5,7,8,2,4]=>[2,4,2]=>10100010=>5 [5,2,3,7,8,4,6,1]=>[4,7,6,2,1,5,3,8]=>[2,1,1,2,2]=>10111010=>5 [3,1,7,6,2,5,4,8]=>[6,8,2,3,7,4,5,1]=>[2,3,2,1]=>10100101=>6 [8,7,6,5,1,2,9,4,3]=>[2,3,4,5,9,8,1,6,7]=>[5,1,3]=>100001100=>3 [8,1,7,6,2,5,3,4]=>[1,8,2,3,7,4,6,5]=>[2,3,2,1]=>10100101=>6 [5,6,2,1,3,7,8,4]=>[4,3,7,8,6,2,1,5]=>[1,3,1,1,2]=>11001110=>3 [8,2,1,6,5,3,7,4]=>[1,7,8,3,4,6,2,5]=>[3,3,2]=>10010010=>5 [6,2,1,3,5,4,7,8]=>[3,7,8,6,4,5,2,1]=>[3,1,2,1,1]=>10011011=>4 [7,5,4,2,8,3,6,1]=>[2,4,5,7,1,6,3,8]=>[4,2,2]=>10001010=>5 [4,6,2,8,7,3,5,1]=>[5,3,7,1,2,6,4,8]=>[1,2,3,2]=>11010010=>5 [1,7,8,3,4,6,5,2]=>[8,2,1,6,5,3,4,7]=>[1,1,2,1,3]=>11101100=>3 [8,3,2,7,4,6,1,5]=>[1,6,7,2,5,3,8,4]=>[3,2,2,1]=>10010101=>6 [2,7,8,6,1,4,5,3]=>[7,2,1,3,8,5,4,6]=>[1,1,3,1,2]=>11100110=>3 [2,5,6,8,4,7,3,1]=>[7,4,3,1,5,2,6,8]=>[1,1,1,2,3]=>11110100=>3 [7,3,6,1,2,5,8,4]=>[2,6,3,8,7,4,1,5]=>[2,2,1,1,2]=>10101110=>5 [3,6,5,1,2,7,8,4]=>[6,3,4,8,7,2,1,5]=>[1,3,1,1,2]=>11001110=>3 [8,5,1,4,2,7,6,3]=>[1,4,8,5,7,2,3,6]=>[3,2,3]=>10010100=>5 [4,1,3,8,6,7,2,5]=>[5,8,6,1,3,2,7,4]=>[2,1,2,2,1]=>10110101=>6 [2,4,1,7,6,3,5,8]=>[7,5,8,2,3,6,4,1]=>[1,2,3,1,1]=>11010011=>4 [8,4,7,5,6,1,2,3]=>[1,5,2,4,3,8,7,6]=>[2,2,2,1,1]=>10101011=>6 [5,8,6,3,4,7,1,2]=>[4,1,3,6,5,2,8,7]=>[1,3,1,2,1]=>11001101=>4 [5,7,4,6,1,2,8,3]=>[4,2,5,3,8,7,1,6]=>[1,2,2,1,2]=>11010110=>5 [7,5,2,1,4,6,3,8]=>[2,4,7,8,5,3,6,1]=>[4,1,2,1]=>10001101=>4 [7,5,2,4,1,6,3,8]=>[2,4,7,5,8,3,6,1]=>[3,2,2,1]=>10010101=>6 [5,4,7,6,1,3,8,2]=>[4,5,2,3,8,6,1,7]=>[2,3,1,2]=>10100110=>5 [5,4,7,1,6,3,8,2]=>[4,5,2,8,3,6,1,7]=>[2,2,2,2]=>10101010=>7 [7,4,5,1,6,2,3,8]=>[2,5,4,8,3,7,6,1]=>[2,2,2,1,1]=>10101011=>6 [3,5,2,1,6,4,8,7]=>[6,4,7,8,3,5,1,2]=>[1,3,2,2]=>11001010=>5 [8,2,5,4,7,1,3,6]=>[1,7,4,5,2,8,6,3]=>[2,2,2,1,1]=>10101011=>6 [7,2,6,8,1,4,5,3]=>[2,7,3,1,8,5,4,6]=>[2,1,2,1,2]=>10110110=>5 [7,3,2,1,5,6,8,4]=>[2,6,7,8,4,3,1,5]=>[4,1,1,2]=>10001110=>3 [8,7,1,3,6,4,2,5]=>[1,2,8,6,3,5,7,4]=>[3,1,3,1]=>10011001=>4 [7,2,1,4,8,3,6,5]=>[2,7,8,5,1,6,3,4]=>[3,1,2,2]=>10011010=>5 [8,1,4,7,5,3,2,6]=>[1,8,5,2,4,6,7,3]=>[2,1,4,1]=>10110001=>4 [7,3,2,1,5,8,4,6]=>[2,6,7,8,4,1,5,3]=>[4,1,2,1]=>10001101=>4 [7,6,2,8,1,5,4,3]=>[2,3,7,1,8,4,5,6]=>[3,2,3]=>10010100=>5 [4,7,3,2,6,1,5,8]=>[5,2,6,7,3,8,4,1]=>[1,3,2,1,1]=>11001011=>4 [7,2,4,8,3,1,6,5]=>[2,7,5,1,6,8,3,4]=>[2,1,3,2]=>10110010=>5 [1,5,7,4,6,2,3,8]=>[8,4,2,5,3,7,6,1]=>[1,1,2,2,1,1]=>11101011=>4 [8,2,3,5,4,6,1,7]=>[1,7,6,4,5,3,8,2]=>[2,1,2,2,1]=>10110101=>6 [2,3,7,4,6,1,5,8]=>[7,6,2,5,3,8,4,1]=>[1,1,2,2,1,1]=>11101011=>4 [8,4,2,5,3,1,7,6]=>[1,5,7,4,6,8,2,3]=>[3,3,2]=>10010010=>5 [1,4,6,3,5,7,2,8]=>[8,5,3,6,4,2,7,1]=>[1,1,2,1,2,1]=>11101101=>4 [2,5,4,8,7,3,1,6]=>[7,4,5,1,2,6,8,3]=>[1,2,4,1]=>11010001=>4 [1,7,4,3,8,2,6,5]=>[8,2,5,6,1,7,3,4]=>[1,3,2,2]=>11001010=>5 [7,4,6,1,5,8,3,2]=>[2,5,3,8,4,1,6,7]=>[2,2,1,3]=>10101100=>5 [1,6,5,8,4,3,7,2]=>[8,3,4,1,5,6,2,7]=>[1,2,3,2]=>11010010=>5 [8,7,6,5,4,9,2,3,1]=>[2,3,4,5,6,1,8,7,9]=>[5,2,2]=>100001010=>5 [2,5,1,6,4,7,8,3]=>[7,4,8,3,5,2,1,6]=>[1,2,2,1,2]=>11010110=>5 [2,4,1,5,7,8,6,3]=>[7,5,8,4,2,1,3,6]=>[1,2,1,1,3]=>11011100=>3 [4,1,6,8,5,3,2,7]=>[5,8,3,1,4,6,7,2]=>[2,1,4,1]=>10110001=>4 [6,8,7,4,1,2,5,3]=>[3,1,2,5,8,7,4,6]=>[1,4,1,2]=>11000110=>3 [4,3,8,6,5,1,7,2]=>[5,6,1,3,4,8,2,7]=>[2,4,2]=>10100010=>5 [2,4,5,8,6,3,7,1]=>[7,5,4,1,3,6,2,8]=>[1,1,1,3,2]=>11110010=>3 [4,3,7,8,5,6,1,2]=>[5,6,2,1,4,3,8,7]=>[2,1,2,2,1]=>10110101=>6 [5,3,6,4,8,1,7,2]=>[4,6,3,5,1,8,2,7]=>[2,2,2,2]=>10101010=>7 [7,2,8,4,6,3,1,5]=>[2,7,1,5,3,6,8,4]=>[2,2,3,1]=>10101001=>6 [8,3,7,2,4,5,1,6]=>[1,6,2,7,5,4,8,3]=>[2,2,1,2,1]=>10101101=>6 [3,7,6,4,1,2,5,8]=>[6,2,3,5,8,7,4,1]=>[1,4,1,1,1]=>11000111=>2 [8,6,4,1,5,3,7,2]=>[1,3,5,8,4,6,2,7]=>[4,2,2]=>10001010=>5 [1,5,7,3,4,6,2,8]=>[8,4,2,6,5,3,7,1]=>[1,1,2,1,2,1]=>11101101=>4 [8,7,1,3,5,2,4,6]=>[1,2,8,6,4,7,5,3]=>[3,1,2,1,1]=>10011011=>4 [8,4,2,5,7,6,1,3]=>[1,5,7,4,2,3,8,6]=>[3,1,3,1]=>10011001=>4 [8,4,7,5,3,1,2,6]=>[1,5,2,4,6,8,7,3]=>[2,4,1,1]=>10100011=>4 [5,8,4,6,2,3,7,1]=>[4,1,5,3,7,6,2,8]=>[1,2,2,1,2]=>11010110=>5 [4,7,8,2,3,5,1,6]=>[5,2,1,7,6,4,8,3]=>[1,1,2,1,2,1]=>11101101=>4 [6,8,5,2,4,1,3,7]=>[3,1,4,7,5,8,6,2]=>[1,3,2,1,1]=>11001011=>4 [7,2,6,1,5,4,8,3]=>[2,7,3,8,4,5,1,6]=>[2,2,2,2]=>10101010=>7 [7,3,6,2,1,5,8,4]=>[2,6,3,7,8,4,1,5]=>[2,3,1,2]=>10100110=>5 [7,4,3,6,1,2,8,5]=>[2,5,6,3,8,7,1,4]=>[3,2,1,2]=>10010110=>5 [7,5,1,4,3,6,2,8]=>[2,4,8,5,6,3,7,1]=>[3,2,2,1]=>10010101=>6 [7,2,6,5,1,8,4,3]=>[2,7,3,4,8,1,5,6]=>[2,3,3]=>10100100=>5 [5,2,4,1,8,7,3,6]=>[4,7,5,8,1,2,6,3]=>[2,2,3,1]=>10101001=>6 [2,5,1,7,4,6,8,3]=>[7,4,8,2,5,3,1,6]=>[1,2,2,1,2]=>11010110=>5 [6,8,5,7,2,3,4,1]=>[3,1,4,2,7,6,5,8]=>[1,2,2,1,2]=>11010110=>5 [4,3,5,7,8,1,6,2]=>[5,6,4,2,1,8,3,7]=>[2,1,1,2,2]=>10111010=>5 [4,5,8,2,7,1,6,3]=>[5,4,1,7,2,8,3,6]=>[1,1,2,2,2]=>11101010=>5 [1,7,3,5,8,2,4,6]=>[8,2,6,4,1,7,5,3]=>[1,2,1,2,1,1]=>11011011=>4 [4,6,8,7,1,2,5,3]=>[5,3,1,2,8,7,4,6]=>[1,1,3,1,2]=>11100110=>3 [3,7,8,6,1,2,5,4]=>[6,2,1,3,8,7,4,5]=>[1,1,3,1,2]=>11100110=>3 [5,7,4,8,2,3,6,1]=>[4,2,5,1,7,6,3,8]=>[1,2,2,1,2]=>11010110=>5 [3,1,7,6,8,4,5,2]=>[6,8,2,3,1,5,4,7]=>[2,2,2,2]=>10101010=>7 [2,3,7,6,8,4,5,1]=>[7,6,2,3,1,5,4,8]=>[1,1,2,2,2]=>11101010=>5 [8,3,2,4,5,1,7,6]=>[1,6,7,5,4,8,2,3]=>[3,1,2,2]=>10011010=>5 [8,5,7,1,3,6,4,2]=>[1,4,2,8,6,3,5,7]=>[2,2,1,3]=>10101100=>5 [7,3,5,1,4,6,8,2]=>[2,6,4,8,5,3,1,7]=>[2,2,1,1,2]=>10101110=>5 [7,2,1,5,8,6,4,3]=>[2,7,8,4,1,3,5,6]=>[3,1,4]=>10011000=>3 [6,5,7,1,8,4,2,3]=>[3,4,2,8,1,5,7,6]=>[2,2,3,1]=>10101001=>6 [7,3,6,4,2,1,5,8]=>[2,6,3,5,7,8,4,1]=>[2,4,1,1]=>10100011=>4 [6,2,3,7,1,5,8,4]=>[3,7,6,2,8,4,1,5]=>[2,1,2,1,2]=>10110110=>5 [6,8,3,2,7,4,5,1]=>[3,1,6,7,2,5,4,8]=>[1,3,2,2]=>11001010=>5 [5,1,3,4,7,6,2,8]=>[4,8,6,5,2,3,7,1]=>[2,1,1,3,1]=>10111001=>4 [4,7,3,6,2,1,5,8]=>[5,2,6,3,7,8,4,1]=>[1,2,3,1,1]=>11010011=>4 [5,8,6,1,3,7,4,2]=>[4,1,3,8,6,2,5,7]=>[1,3,1,3]=>11001100=>3 [2,7,4,5,8,6,3,1]=>[7,2,5,4,1,3,6,8]=>[1,2,1,4]=>11011000=>3 [6,1,5,2,4,7,3,8]=>[3,8,4,7,5,2,6,1]=>[2,2,1,2,1]=>10101101=>6 [5,3,8,6,4,7,1,2]=>[4,6,1,3,5,2,8,7]=>[2,3,2,1]=>10100101=>6 [1,7,3,4,5,8,6,2]=>[8,2,6,5,4,1,3,7]=>[1,2,1,1,3]=>11011100=>3 [8,5,2,1,6,7,3,4]=>[1,4,7,8,3,2,6,5]=>[4,1,2,1]=>10001101=>4 [6,1,4,5,7,8,3,2]=>[3,8,5,4,2,1,6,7]=>[2,1,1,1,3]=>10111100=>3 [2,6,4,8,5,1,3,7]=>[7,3,5,1,4,8,6,2]=>[1,2,3,1,1]=>11010011=>4 [2,3,6,5,1,4,7,8]=>[7,6,3,4,8,5,2,1]=>[1,1,3,1,1,1]=>11100111=>2 [2,6,5,3,7,1,4,8]=>[7,3,4,6,2,8,5,1]=>[1,3,2,1,1]=>11001011=>4 [8,3,5,2,6,4,7,1]=>[1,6,4,7,3,5,2,8]=>[2,2,2,2]=>10101010=>7 [1,3,8,6,7,4,2,5]=>[8,6,1,3,2,5,7,4]=>[1,1,2,3,1]=>11101001=>4 [7,5,2,4,1,6,8,3]=>[2,4,7,5,8,3,1,6]=>[3,2,1,2]=>10010110=>5 [3,6,2,1,8,4,5,7]=>[6,3,7,8,1,5,4,2]=>[1,3,2,1,1]=>11001011=>4 [5,1,3,7,4,2,8,6]=>[4,8,6,2,5,7,1,3]=>[2,1,3,2]=>10110010=>5 [3,2,7,4,6,8,5,1]=>[6,7,2,5,3,1,4,8]=>[2,2,1,3]=>10101100=>5 [4,3,7,1,8,2,6,5]=>[5,6,2,8,1,7,3,4]=>[2,2,2,2]=>10101010=>7 [2,7,5,4,3,1,8,6]=>[7,2,4,5,6,8,1,3]=>[1,5,2]=>11000010=>3 [7,6,3,5,8,1,4,2]=>[2,3,6,4,1,8,5,7]=>[3,1,2,2]=>10011010=>5 [8,3,7,4,2,5,1,6]=>[1,6,2,5,7,4,8,3]=>[2,3,2,1]=>10100101=>6 [8,3,6,7,1,2,5,4]=>[1,6,3,2,8,7,4,5]=>[2,1,2,1,2]=>10110110=>5 [2,8,7,3,6,4,1,5]=>[7,1,2,6,3,5,8,4]=>[1,3,3,1]=>11001001=>4 [5,1,3,6,8,7,2,4]=>[4,8,6,3,1,2,7,5]=>[2,1,1,3,1]=>10111001=>4 [5,6,3,1,4,7,8,2]=>[4,3,6,8,5,2,1,7]=>[1,3,1,1,2]=>11001110=>3 [6,7,2,1,5,4,3,8]=>[3,2,7,8,4,5,6,1]=>[1,3,3,1]=>11001001=>4 [5,2,7,3,4,1,6,8]=>[4,7,2,6,5,8,3,1]=>[2,2,2,1,1]=>10101011=>6 [8,3,4,5,1,2,7,6]=>[1,6,5,4,8,7,2,3]=>[2,1,2,1,2]=>10110110=>5 [2,6,8,5,3,7,4,1]=>[7,3,1,4,6,2,5,8]=>[1,1,3,3]=>11100100=>3 [2,7,3,4,6,8,5,1]=>[7,2,6,5,3,1,4,8]=>[1,2,1,1,3]=>11011100=>3 [4,5,3,7,2,6,8,1]=>[5,4,6,2,7,3,1,8]=>[1,2,2,1,2]=>11010110=>5 [3,4,7,5,1,2,6,8]=>[6,5,2,4,8,7,3,1]=>[1,1,3,1,1,1]=>11100111=>2 [1,3,8,7,2,6,5,4]=>[8,6,1,2,7,3,4,5]=>[1,1,3,3]=>11100100=>3 [1,3,7,4,2,6,5,8]=>[8,6,2,5,7,3,4,1]=>[1,1,3,2,1]=>11100101=>4 [7,1,6,2,4,8,5,3]=>[2,8,3,7,5,1,4,6]=>[2,2,1,3]=>10101100=>5 [6,1,4,5,7,3,2,8]=>[3,8,5,4,2,6,7,1]=>[2,1,1,3,1]=>10111001=>4 [1,3,7,5,8,4,2,6]=>[8,6,2,4,1,5,7,3]=>[1,1,2,3,1]=>11101001=>4 [3,4,5,6,7,9,8,2,1]=>[7,6,5,4,3,1,2,8,9]=>[1,1,1,1,1,4]=>111111000=>1 [2,8,4,7,1,5,6,3]=>[7,1,5,2,8,4,3,6]=>[1,2,2,1,2]=>11010110=>5 [2,7,8,1,4,3,5,6]=>[7,2,1,8,5,6,4,3]=>[1,1,2,2,1,1]=>11101011=>4 [6,8,3,5,7,2,1,4]=>[3,1,6,4,2,7,8,5]=>[1,2,1,3,1]=>11011001=>4 [7,2,3,8,4,5,1,6]=>[2,7,6,1,5,4,8,3]=>[2,1,2,2,1]=>10110101=>6 [6,2,8,7,3,1,5,4]=>[3,7,1,2,6,8,4,5]=>[2,4,2]=>10100010=>5 [5,4,6,2,8,1,3,7]=>[4,5,3,7,1,8,6,2]=>[2,2,2,1,1]=>10101011=>6 [2,6,7,1,4,8,5,3]=>[7,3,2,8,5,1,4,6]=>[1,1,2,1,3]=>11101100=>3 [7,3,2,8,1,5,6,4]=>[2,6,7,1,8,4,3,5]=>[3,2,1,2]=>10010110=>5 [5,3,1,2,8,7,6,4]=>[4,6,8,7,1,2,3,5]=>[3,1,4]=>10011000=>3 [2,4,7,5,6,1,8,3]=>[7,5,2,4,3,8,1,6]=>[1,1,2,2,2]=>11101010=>5 [3,8,7,1,6,4,2,5]=>[6,1,2,8,3,5,7,4]=>[1,3,3,1]=>11001001=>4 [5,4,6,3,2,8,1,7]=>[4,5,3,6,7,1,8,2]=>[2,3,2,1]=>10100101=>6 [5,6,3,2,4,8,1,7]=>[4,3,6,7,5,1,8,2]=>[1,3,1,2,1]=>11001101=>4 [1,3,8,4,5,6,2,7]=>[8,6,1,5,4,3,7,2]=>[1,1,2,1,2,1]=>11101101=>4 [1,4,3,8,6,2,7,5]=>[8,5,6,1,3,7,2,4]=>[1,2,3,2]=>11010010=>5 [8,7,1,5,6,3,4,2]=>[1,2,8,4,3,6,5,7]=>[3,1,2,2]=>10011010=>5 [2,7,5,1,4,3,6,8]=>[7,2,4,8,5,6,3,1]=>[1,3,2,1,1]=>11001011=>4 [5,3,8,4,6,2,1,7]=>[4,6,1,5,3,7,8,2]=>[2,2,3,1]=>10101001=>6 [7,4,2,5,3,1,8,6]=>[2,5,7,4,6,8,1,3]=>[3,3,2]=>10010010=>5 [7,2,4,6,5,1,3,8]=>[2,7,5,3,4,8,6,1]=>[2,1,3,1,1]=>10110011=>4 [3,4,2,8,7,5,6,1]=>[6,5,7,1,2,4,3,8]=>[1,2,3,2]=>11010010=>5 [2,4,6,5,1,3,7,8]=>[7,5,3,4,8,6,2,1]=>[1,1,3,1,1,1]=>11100111=>2 [7,5,8,6,4,3,1,2]=>[2,4,1,3,5,6,8,7]=>[2,5,1]=>10100001=>4 [5,8,1,7,6,3,2,4]=>[4,1,8,2,3,6,7,5]=>[1,2,4,1]=>11010001=>4 [1,6,8,3,5,7,4,2]=>[8,3,1,6,4,2,5,7]=>[1,1,2,1,3]=>11101100=>3 [7,8,2,1,6,4,3,5]=>[2,1,7,8,3,5,6,4]=>[1,3,3,1]=>11001001=>4 [6,3,8,2,7,5,4,1]=>[3,6,1,7,2,4,5,8]=>[2,2,4]=>10101000=>5 [1,7,5,3,4,2,6,8]=>[8,2,4,6,5,7,3,1]=>[1,3,2,1,1]=>11001011=>4 [1,7,5,3,4,2,8,6]=>[8,2,4,6,5,7,1,3]=>[1,3,2,2]=>11001010=>5 [1,7,5,3,4,6,2,8]=>[8,2,4,6,5,3,7,1]=>[1,3,1,2,1]=>11001101=>4 [1,7,5,3,6,4,2,8]=>[8,2,4,6,3,5,7,1]=>[1,3,3,1]=>11001001=>4 [1,7,8,5,3,2,4,6]=>[8,2,1,4,6,7,5,3]=>[1,1,4,1,1]=>11100011=>2 [7,5,2,6,4,3,8,1]=>[2,4,7,3,5,6,1,8]=>[3,3,2]=>10010010=>5 [5,6,8,1,4,7,2,3]=>[4,3,1,8,5,2,7,6]=>[1,1,2,1,2,1]=>11101101=>4 [1,4,8,6,5,3,2,7]=>[8,5,1,3,4,6,7,2]=>[1,1,5,1]=>11100001=>2 [1,5,8,4,6,3,2,7]=>[8,4,1,5,3,6,7,2]=>[1,1,2,3,1]=>11101001=>4 [6,1,5,3,4,7,2,8]=>[3,8,4,6,5,2,7,1]=>[2,2,1,2,1]=>10101101=>6 [7,6,1,8,4,3,5,2]=>[2,3,8,1,5,6,4,7]=>[3,3,2]=>10010010=>5 [1,8,4,6,7,3,2,5]=>[8,1,5,3,2,6,7,4]=>[1,2,1,3,1]=>11011001=>4 [1,2,7,4,6,3,5,8]=>[8,7,2,5,3,6,4,1]=>[1,1,2,2,1,1]=>11101011=>4 [8,2,7,1,5,6,4,3]=>[1,7,2,8,4,3,5,6]=>[2,2,1,3]=>10101100=>5 [8,2,5,3,7,4,6,1]=>[1,7,4,6,2,5,3,8]=>[2,2,2,2]=>10101010=>7 [4,7,5,2,3,1,8,6]=>[5,2,4,7,6,8,1,3]=>[1,3,2,2]=>11001010=>5 [8,5,4,3,2,1,9,7,6]=>[2,5,6,7,8,9,1,3,4]=>[6,3]=>100000100=>3 [4,8,1,5,7,6,2,3]=>[5,1,8,4,2,3,7,6]=>[1,2,1,3,1]=>11011001=>4 [7,6,1,8,5,3,4,2]=>[2,3,8,1,4,6,5,7]=>[3,3,2]=>10010010=>5 [2,6,5,8,7,1,3,4]=>[7,3,4,1,2,8,6,5]=>[1,2,3,1,1]=>11010011=>4 [3,5,6,8,2,7,4,1]=>[6,4,3,1,7,2,5,8]=>[1,1,1,2,3]=>11110100=>3 [4,5,6,8,1,7,3,2]=>[5,4,3,1,8,2,6,7]=>[1,1,1,2,3]=>11110100=>3 [3,4,7,6,8,5,1,2]=>[6,5,2,3,1,4,8,7]=>[1,1,2,3,1]=>11101001=>4 [5,6,7,1,8,2,4,3]=>[4,3,2,8,1,7,5,6]=>[1,1,2,2,2]=>11101010=>5 [3,6,8,2,7,5,4,1]=>[6,3,1,7,2,4,5,8]=>[1,1,2,4]=>11101000=>3 [3,1,6,7,5,4,2,8]=>[6,8,3,2,4,5,7,1]=>[2,1,4,1]=>10110001=>4 [4,6,2,5,3,7,8,1]=>[5,3,7,4,6,2,1,8]=>[1,2,2,1,2]=>11010110=>5 [7,6,1,5,3,2,4,8]=>[2,3,8,4,6,7,5,1]=>[3,3,1,1]=>10010011=>4 [6,7,8,2,1,3,5,4]=>[3,2,1,7,8,6,4,5]=>[1,1,3,1,2]=>11100110=>3 [6,2,3,4,5,7,8,9,1]=>[4,8,7,6,5,3,2,1,9]=>[2,1,1,1,1,1,2]=>101111110=>3 [5,2,3,6,4,7,8,9,1]=>[5,8,7,4,6,3,2,1,9]=>[2,1,2,1,1,2]=>101101110=>5 [2,1,6,4,7,3,5,8]=>[7,8,3,5,2,6,4,1]=>[2,2,2,1,1]=>10101011=>6 [7,1,5,3,4,6,2,8]=>[2,8,4,6,5,3,7,1]=>[2,2,1,2,1]=>10101101=>6 [5,4,8,1,2,6,3,7]=>[4,5,1,8,7,3,6,2]=>[2,2,1,2,1]=>10101101=>6 [5,8,4,3,1,2,7,6]=>[4,1,5,6,8,7,2,3]=>[1,4,1,2]=>11000110=>3 [6,8,1,3,5,4,2,7]=>[3,1,8,6,4,5,7,2]=>[1,2,1,3,1]=>11011001=>4 [6,7,5,2,8,3,4,1]=>[3,2,4,7,1,6,5,8]=>[1,3,2,2]=>11001010=>5 [8,3,6,7,4,2,5,1]=>[1,6,3,2,5,7,4,8]=>[2,1,3,2]=>10110010=>5 [8,3,1,5,4,2,7,6]=>[1,6,8,4,5,7,2,3]=>[3,3,2]=>10010010=>5 [2,1,5,4,3,8,6,7]=>[7,8,4,5,6,1,3,2]=>[2,3,2,1]=>10100101=>6 [3,8,6,1,5,4,2,7]=>[6,1,3,8,4,5,7,2]=>[1,3,3,1]=>11001001=>4 [4,3,1,7,8,5,6,2]=>[5,6,8,2,1,4,3,7]=>[3,1,2,2]=>10011010=>5 [6,8,4,1,5,3,2,7]=>[3,1,5,8,4,6,7,2]=>[1,3,3,1]=>11001001=>4 [5,6,4,1,7,8,3,2]=>[4,3,5,8,2,1,6,7]=>[1,3,1,3]=>11001100=>3 [5,4,2,3,8,7,6,1]=>[4,5,7,6,1,2,3,8]=>[3,1,4]=>10011000=>3 [2,8,1,6,4,7,3,5]=>[7,1,8,3,5,2,6,4]=>[1,2,2,2,1]=>11010101=>6 [1,5,6,2,4,3,7,8]=>[8,4,3,7,5,6,2,1]=>[1,1,2,2,1,1]=>11101011=>4 [1,4,2,8,6,3,7,5]=>[8,5,7,1,3,6,2,4]=>[1,2,3,2]=>11010010=>5 [2,4,8,7,5,3,6,1]=>[7,5,1,2,4,6,3,8]=>[1,1,4,2]=>11100010=>3 [3,7,4,6,1,8,2,5]=>[6,2,5,3,8,1,7,4]=>[1,2,2,2,1]=>11010101=>6 [2,7,3,6,8,1,4,5]=>[7,2,6,3,1,8,5,4]=>[1,2,1,2,1,1]=>11011011=>4 [6,7,2,3,8,5,1,4]=>[3,2,7,6,1,4,8,5]=>[1,2,1,3,1]=>11011001=>4 [4,5,1,2,8,6,3,7]=>[5,4,8,7,1,3,6,2]=>[1,2,1,3,1]=>11011001=>4 [4,5,2,7,3,6,8,1]=>[5,4,7,2,6,3,1,8]=>[1,2,2,1,2]=>11010110=>5 [4,8,7,2,3,5,1,6]=>[5,1,2,7,6,4,8,3]=>[1,3,1,2,1]=>11001101=>4 [5,6,7,2,1,4,3,8]=>[4,3,2,7,8,5,6,1]=>[1,1,3,2,1]=>11100101=>4 [8,1,6,5,3,4,2,7]=>[1,8,3,4,6,5,7,2]=>[2,3,2,1]=>10100101=>6 [7,8,4,5,2,6,3,1]=>[2,1,5,4,7,3,6,8]=>[1,2,2,3]=>11010100=>5 [2,8,5,3,7,1,6,4]=>[7,1,4,6,2,8,3,5]=>[1,3,2,2]=>11001010=>5 [3,2,6,1,8,5,7,4]=>[6,7,3,8,1,4,2,5]=>[2,2,2,2]=>10101010=>7 [7,2,6,1,4,5,8,3]=>[2,7,3,8,5,4,1,6]=>[2,2,1,1,2]=>10101110=>5 [4,5,6,7,9,1,3,8,2]=>[6,5,4,3,1,9,7,2,8]=>[1,1,1,1,2,1,2]=>111110110=>3 [3,4,5,6,7,9,8,1,2]=>[7,6,5,4,3,1,2,9,8]=>[1,1,1,1,1,3,1]=>111111001=>2 [8,2,4,3,5,7,1,6]=>[1,7,5,6,4,2,8,3]=>[2,2,1,2,1]=>10101101=>6 [2,1,8,4,3,6,7,5]=>[7,8,1,5,6,3,2,4]=>[2,3,1,2]=>10100110=>5 [5,4,3,8,6,1,7,2]=>[4,5,6,1,3,8,2,7]=>[3,3,2]=>10010010=>5 [2,1,8,4,7,5,3,6]=>[7,8,1,5,2,4,6,3]=>[2,2,3,1]=>10101001=>6 [5,1,2,7,4,6,8,3]=>[4,8,7,2,5,3,1,6]=>[2,1,2,1,2]=>10110110=>5 [6,1,2,5,7,3,4,8]=>[3,8,7,4,2,6,5,1]=>[2,1,1,2,1,1]=>10111011=>4 [6,4,3,1,7,5,2,8]=>[3,5,6,8,2,4,7,1]=>[4,3,1]=>10001001=>4 [5,1,2,6,7,4,3,8]=>[4,8,7,3,2,5,6,1]=>[2,1,1,3,1]=>10111001=>4 [3,6,4,1,7,5,2,8]=>[6,3,5,8,2,4,7,1]=>[1,3,3,1]=>11001001=>4 [6,5,3,1,7,4,2,8]=>[3,4,6,8,2,5,7,1]=>[4,3,1]=>10001001=>4 [3,7,2,6,4,8,5,1]=>[6,2,7,3,5,1,4,8]=>[1,2,2,3]=>11010100=>5 [7,8,2,3,6,5,4,1]=>[2,1,7,6,3,4,5,8]=>[1,2,1,4]=>11011000=>3 [7,2,8,6,3,5,4,1]=>[2,7,1,3,6,4,5,8]=>[2,3,3]=>10100100=>5 [1,8,7,5,2,4,3,6]=>[8,1,2,4,7,5,6,3]=>[1,4,2,1]=>11000101=>4 [7,1,5,2,6,4,8,3]=>[2,8,4,7,3,5,1,6]=>[2,2,2,2]=>10101010=>7 [6,1,5,4,8,3,7,2]=>[3,8,4,5,1,6,2,7]=>[2,2,2,2]=>10101010=>7 [8,3,6,4,2,5,1,7]=>[1,6,3,5,7,4,8,2]=>[2,3,2,1]=>10100101=>6 [8,3,4,2,6,5,1,7]=>[1,6,5,7,3,4,8,2]=>[2,2,3,1]=>10101001=>6 [5,4,6,8,7,2,3,1]=>[4,5,3,1,2,7,6,8]=>[2,1,3,2]=>10110010=>5 [4,5,6,8,7,1,3,2]=>[5,4,3,1,2,8,6,7]=>[1,1,1,3,2]=>11110010=>3 [7,2,6,8,1,5,3,4]=>[2,7,3,1,8,4,6,5]=>[2,1,2,2,1]=>10110101=>6 [7,1,4,2,3,6,5,8]=>[2,8,5,7,6,3,4,1]=>[2,2,1,2,1]=>10101101=>6 [4,7,2,1,6,8,5,3]=>[5,2,7,8,3,1,4,6]=>[1,3,1,3]=>11001100=>3 [2,7,4,1,5,6,3,8]=>[7,2,5,8,4,3,6,1]=>[1,3,1,2,1]=>11001101=>4 [5,2,7,8,3,4,1,6]=>[4,7,2,1,6,5,8,3]=>[2,1,2,2,1]=>10110101=>6 [6,4,5,3,1,8,2,7]=>[3,5,4,6,8,1,7,2]=>[2,3,2,1]=>10100101=>6 [4,5,7,6,3,1,2,8]=>[5,4,2,3,6,8,7,1]=>[1,1,4,1,1]=>11100011=>2 [3,6,2,8,1,7,5,4]=>[6,3,7,1,8,2,4,5]=>[1,2,2,3]=>11010100=>5 [2,6,7,4,3,5,1,8]=>[7,3,2,5,6,4,8,1]=>[1,1,3,2,1]=>11100101=>4 [8,2,6,1,3,7,5,4]=>[1,7,3,8,6,2,4,5]=>[2,2,1,3]=>10101100=>5 [2,7,5,6,4,3,1,8]=>[7,2,4,3,5,6,8,1]=>[1,2,4,1]=>11010001=>4 [3,7,4,6,2,5,1,8]=>[6,2,5,3,7,4,8,1]=>[1,2,2,2,1]=>11010101=>6 [8,2,5,1,7,4,3,6]=>[1,7,4,8,2,5,6,3]=>[2,2,3,1]=>10101001=>6 [2,8,7,4,5,6,1,3]=>[7,1,2,5,4,3,8,6]=>[1,3,1,2,1]=>11001101=>4 [6,7,2,8,4,3,5,1]=>[3,2,7,1,5,6,4,8]=>[1,2,3,2]=>11010010=>5 [3,1,6,2,7,5,4,8]=>[6,8,3,7,2,4,5,1]=>[2,2,3,1]=>10101001=>6 [1,2,8,6,3,5,4,7]=>[8,7,1,3,6,4,5,2]=>[1,1,3,2,1]=>11100101=>4 [2,4,3,7,6,1,5,8]=>[7,5,6,2,3,8,4,1]=>[1,2,3,1,1]=>11010011=>4 [8,4,1,3,5,2,7,6]=>[1,5,8,6,4,7,2,3]=>[3,1,2,2]=>10011010=>5 [5,1,2,8,7,3,4,6]=>[4,8,7,1,2,6,5,3]=>[2,1,3,1,1]=>10110011=>4 [1,6,3,4,8,2,5,7]=>[8,3,6,5,1,7,4,2]=>[1,2,1,2,1,1]=>11011011=>4 [6,5,2,7,8,3,1,4]=>[3,4,7,2,1,6,8,5]=>[3,1,3,1]=>10011001=>4 [5,8,1,4,6,7,3,2]=>[4,1,8,5,3,2,6,7]=>[1,2,1,1,3]=>11011100=>3 [7,4,2,5,1,6,8,3]=>[2,5,7,4,8,3,1,6]=>[3,2,1,2]=>10010110=>5 [7,3,6,4,1,5,8,2]=>[2,6,3,5,8,4,1,7]=>[2,3,1,2]=>10100110=>5 [2,6,1,7,8,4,5,3]=>[7,3,8,2,1,5,4,6]=>[1,2,1,2,2]=>11011010=>5 [2,3,7,1,8,4,6,5]=>[7,6,2,8,1,5,3,4]=>[1,1,2,2,2]=>11101010=>5 [3,1,5,7,4,6,2,8]=>[6,8,4,2,5,3,7,1]=>[2,1,2,2,1]=>10110101=>6 [2,5,1,8,3,6,7,4]=>[7,4,8,1,6,3,2,5]=>[1,2,2,1,2]=>11010110=>5 [2,3,7,1,4,6,5,8]=>[7,6,2,8,5,3,4,1]=>[1,1,2,1,2,1]=>11101101=>4 [2,8,4,7,5,1,3,6]=>[7,1,5,2,4,8,6,3]=>[1,2,3,1,1]=>11010011=>4 [2,7,6,4,3,5,1,8]=>[7,2,3,5,6,4,8,1]=>[1,4,2,1]=>11000101=>4 [2,7,6,4,3,1,8,5]=>[7,2,3,5,6,8,1,4]=>[1,5,2]=>11000010=>3 [5,1,8,6,2,3,7,4]=>[4,8,1,3,7,6,2,5]=>[2,3,1,2]=>10100110=>5 [3,1,7,5,8,4,6,2]=>[6,8,2,4,1,5,3,7]=>[2,2,2,2]=>10101010=>7 [4,7,1,2,3,6,5,8]=>[5,2,8,7,6,3,4,1]=>[1,2,1,1,2,1]=>11011101=>4 [4,1,5,6,3,7,2,8]=>[5,8,4,3,6,2,7,1]=>[2,1,2,2,1]=>10110101=>6 [3,5,4,1,6,8,2,7]=>[6,4,5,8,3,1,7,2]=>[1,3,1,2,1]=>11001101=>4 [7,3,6,5,8,4,1,2]=>[2,6,3,4,1,5,8,7]=>[2,2,3,1]=>10101001=>6 [8,7,6,5,4,9,2,1,3]=>[2,3,4,5,6,1,8,9,7]=>[5,3,1]=>100001001=>4 [8,7,6,5,9,3,2,1,4]=>[2,3,4,5,1,7,8,9,6]=>[4,4,1]=>100010001=>4 [8,7,6,9,4,3,2,1,5]=>[2,3,4,1,6,7,8,9,5]=>[3,5,1]=>100100001=>4 [8,7,9,5,4,3,2,1,6]=>[2,3,1,5,6,7,8,9,4]=>[2,6,1]=>101000001=>4 [8,1,7,6,5,4,9,3,2]=>[2,9,3,4,5,6,1,7,8]=>[2,4,3]=>101000100=>5 [7,2,6,5,8,1,4,3]=>[2,7,3,4,1,8,5,6]=>[2,2,2,2]=>10101010=>7 [1,7,4,6,3,2,5,8]=>[8,2,5,3,6,7,4,1]=>[1,2,3,1,1]=>11010011=>4 [1,6,2,7,3,5,8,4]=>[8,3,7,2,6,4,1,5]=>[1,2,2,1,2]=>11010110=>5 [1,5,7,4,3,2,6,8]=>[8,4,2,5,6,7,3,1]=>[1,1,4,1,1]=>11100011=>2 [5,6,8,4,2,3,7,1]=>[4,3,1,5,7,6,2,8]=>[1,1,3,1,2]=>11100110=>3 [7,2,1,4,6,5,8,3]=>[2,7,8,5,3,4,1,6]=>[3,1,2,2]=>10011010=>5 [5,2,3,6,8,7,1,4]=>[4,7,6,3,1,2,8,5]=>[2,1,1,3,1]=>10111001=>4 [8,2,1,5,3,6,4,7]=>[1,7,8,4,6,3,5,2]=>[3,2,2,1]=>10010101=>6 [3,8,5,2,1,7,4,6]=>[6,1,4,7,8,2,5,3]=>[1,4,2,1]=>11000101=>4 [8,1,4,7,6,3,5,2]=>[1,8,5,2,3,6,4,7]=>[2,1,3,2]=>10110010=>5 [8,5,7,4,2,3,6,1]=>[1,4,2,5,7,6,3,8]=>[2,3,1,2]=>10100110=>5 [1,7,6,3,2,8,5,4]=>[8,2,3,6,7,1,4,5]=>[1,4,3]=>11000100=>3 [7,8,1,6,5,4,3,2,9]=>[3,2,9,4,5,6,7,8,1]=>[1,2,5,1]=>110100001=>4 [6,8,7,1,5,4,3,2,9]=>[4,2,3,9,5,6,7,8,1]=>[1,3,4,1]=>110010001=>4 [5,8,7,6,1,4,3,2,9]=>[5,2,3,4,9,6,7,8,1]=>[1,4,3,1]=>110001001=>4 [4,8,7,6,5,1,3,2,9]=>[6,2,3,4,5,9,7,8,1]=>[1,5,2,1]=>110000101=>4 [3,8,7,6,5,4,1,2,9]=>[7,2,3,4,5,6,9,8,1]=>[1,6,1,1]=>110000011=>2 [4,7,6,1,3,8,2,5]=>[5,2,3,8,6,1,7,4]=>[1,3,1,2,1]=>11001101=>4 [3,7,8,4,1,2,5,6]=>[6,2,1,5,8,7,4,3]=>[1,1,3,1,1,1]=>11100111=>2 [3,6,4,5,7,8,1,2]=>[6,3,5,4,2,1,8,7]=>[1,2,1,1,2,1]=>11011101=>4 [8,2,3,4,6,5,1,7]=>[1,7,6,5,3,4,8,2]=>[2,1,1,3,1]=>10111001=>4 [8,2,3,7,6,4,1,5]=>[1,7,6,2,3,5,8,4]=>[2,1,4,1]=>10110001=>4 [5,7,2,3,4,8,1,6]=>[4,2,7,6,5,1,8,3]=>[1,2,1,1,2,1]=>11011101=>4 [8,3,1,2,7,5,4,6]=>[1,6,8,7,2,4,5,3]=>[3,1,3,1]=>10011001=>4 [3,7,2,5,8,1,6,4]=>[6,2,7,4,1,8,3,5]=>[1,2,1,2,2]=>11011010=>5 [3,1,8,4,2,5,7,6]=>[6,8,1,5,7,4,2,3]=>[2,3,1,2]=>10100110=>5 [5,8,2,4,7,1,6,3]=>[4,1,7,5,2,8,3,6]=>[1,2,1,2,2]=>11011010=>5 [3,7,1,6,5,4,2,8]=>[6,2,8,3,4,5,7,1]=>[1,2,4,1]=>11010001=>4 [2,5,4,7,1,6,3,8]=>[7,4,5,2,8,3,6,1]=>[1,2,2,2,1]=>11010101=>6 [3,7,1,8,4,2,6,5]=>[6,2,8,1,5,7,3,4]=>[1,2,3,2]=>11010010=>5 [4,5,8,6,7,2,1,3]=>[5,4,1,3,2,7,8,6]=>[1,1,2,3,1]=>11101001=>4 [8,1,5,3,2,7,6,4]=>[1,8,4,6,7,2,3,5]=>[2,3,3]=>10100100=>5 [4,7,3,6,8,5,1,2]=>[5,2,6,3,1,4,8,7]=>[1,2,1,3,1]=>11011001=>4 [8,2,3,6,1,7,4,5]=>[1,7,6,3,8,2,5,4]=>[2,1,2,2,1]=>10110101=>6 [3,8,7,1,5,2,4,6]=>[6,1,2,8,4,7,5,3]=>[1,3,2,1,1]=>11001011=>4 [4,7,1,6,3,8,5,2]=>[5,2,8,3,6,1,4,7]=>[1,2,2,3]=>11010100=>5 [2,6,8,7,4,1,5,3]=>[7,3,1,2,5,8,4,6]=>[1,1,4,2]=>11100010=>3 [3,5,1,6,8,7,4,2]=>[6,4,8,3,1,2,5,7]=>[1,2,1,4]=>11011000=>3 [6,5,1,3,4,8,7,2]=>[3,4,8,6,5,1,2,7]=>[3,1,1,3]=>10011100=>3 [8,5,1,3,4,7,6,2]=>[1,4,8,6,5,2,3,7]=>[3,1,1,3]=>10011100=>3 [3,5,2,4,1,6,8,7]=>[6,4,7,5,8,3,1,2]=>[1,2,2,1,2]=>11010110=>5 [4,3,8,1,7,6,2,5]=>[5,6,1,8,2,3,7,4]=>[2,2,3,1]=>10101001=>6 [6,7,2,1,3,5,8,4]=>[3,2,7,8,6,4,1,5]=>[1,3,1,1,2]=>11001110=>3 [3,7,2,5,8,4,1,6]=>[6,2,7,4,1,5,8,3]=>[1,2,1,3,1]=>11011001=>4 [4,6,3,1,8,5,2,7]=>[5,3,6,8,1,4,7,2]=>[1,3,3,1]=>11001001=>4 [5,2,3,1,6,4,7,8]=>[4,7,6,8,3,5,2,1]=>[2,2,2,1,1]=>10101011=>6 [4,3,1,7,2,8,6,5]=>[5,6,8,2,7,1,3,4]=>[3,2,3]=>10010100=>5 [5,3,4,6,2,1,8,7]=>[4,6,5,3,7,8,1,2]=>[2,1,3,2]=>10110010=>5 [6,1,4,5,2,3,7,8]=>[3,8,5,4,7,6,2,1]=>[2,1,2,1,1,1]=>10110111=>4 [6,1,5,4,2,3,7,8]=>[3,8,4,5,7,6,2,1]=>[2,3,1,1,1]=>10100111=>4 [6,1,5,4,3,2,7,8]=>[3,8,4,5,6,7,2,1]=>[2,4,1,1]=>10100011=>4 [3,7,6,4,5,2,1,8]=>[6,2,3,5,4,7,8,1]=>[1,3,3,1]=>11001001=>4 [7,2,4,6,3,1,5,8]=>[2,7,5,3,6,8,4,1]=>[2,1,3,1,1]=>10110011=>4 [3,8,7,5,1,4,6,2]=>[6,1,2,4,8,5,3,7]=>[1,4,1,2]=>11000110=>3 [4,8,6,3,2,5,7,1]=>[5,1,3,6,7,4,2,8]=>[1,4,1,2]=>11000110=>3 [2,5,8,7,3,4,1,6]=>[7,4,1,2,6,5,8,3]=>[1,1,3,2,1]=>11100101=>4 [4,8,3,1,2,7,5,6]=>[5,1,6,8,7,2,4,3]=>[1,3,1,2,1]=>11001101=>4 [4,6,7,3,1,2,5,8]=>[5,3,2,6,8,7,4,1]=>[1,1,3,1,1,1]=>11100111=>2 [3,5,2,6,4,1,7,8]=>[6,4,7,3,5,8,2,1]=>[1,2,3,1,1]=>11010011=>4 [6,5,1,4,8,3,7,2]=>[3,4,8,5,1,6,2,7]=>[3,1,2,2]=>10011010=>5 [1,7,4,2,5,6,3,8]=>[8,2,5,7,4,3,6,1]=>[1,3,1,2,1]=>11001101=>4 [8,3,4,6,7,5,2,1]=>[1,6,5,3,2,4,7,8]=>[2,1,1,4]=>10111000=>3 [8,5,2,4,6,7,1,3]=>[1,4,7,5,3,2,8,6]=>[3,1,1,2,1]=>10011101=>4 [8,1,2,5,4,6,7,3]=>[1,8,7,4,5,3,2,6]=>[2,1,2,1,2]=>10110110=>5 [8,2,5,3,1,4,6,7]=>[1,7,4,6,8,5,3,2]=>[2,3,1,1,1]=>10100111=>4 [5,7,3,2,4,8,1,6]=>[4,2,6,7,5,1,8,3]=>[1,3,1,2,1]=>11001101=>4 [8,2,1,6,3,4,7,5]=>[1,7,8,3,6,5,2,4]=>[3,2,1,2]=>10010110=>5 [8,4,5,7,6,3,1,2]=>[1,5,4,2,3,6,8,7]=>[2,1,4,1]=>10110001=>4 [6,4,5,2,1,7,8,3]=>[3,5,4,7,8,2,1,6]=>[2,3,1,2]=>10100110=>5 [2,4,5,6,7,1,8,3,9]=>[8,6,5,4,3,9,2,7,1]=>[1,1,1,1,2,2,1]=>111110101=>4 [4,1,8,6,7,2,3,5]=>[5,8,1,3,2,7,6,4]=>[2,2,2,1,1]=>10101011=>6 [5,4,8,6,2,1,7,3]=>[4,5,1,3,7,8,2,6]=>[2,4,2]=>10100010=>5 [2,1,8,6,7,4,3,5]=>[7,8,1,3,2,5,6,4]=>[2,2,3,1]=>10101001=>6 [2,6,3,4,1,7,5,8]=>[7,3,6,5,8,2,4,1]=>[1,2,2,2,1]=>11010101=>6 [2,5,1,4,6,3,7,8]=>[7,4,8,5,3,6,2,1]=>[1,2,1,2,1,1]=>11011011=>4 [6,5,4,1,3,7,2,8]=>[3,4,5,8,6,2,7,1]=>[4,1,2,1]=>10001101=>4 [7,1,2,8,5,3,6,4]=>[2,8,7,1,4,6,3,5]=>[2,1,3,2]=>10110010=>5 [6,3,8,5,2,4,1,7]=>[3,6,1,4,7,5,8,2]=>[2,3,2,1]=>10100101=>6 [1,5,3,8,7,2,4,6]=>[8,4,6,1,2,7,5,3]=>[1,2,3,1,1]=>11010011=>4 [8,4,6,5,2,3,1,7]=>[1,5,3,4,7,6,8,2]=>[2,3,2,1]=>10100101=>6 [8,2,6,5,3,4,1,7]=>[1,7,3,4,6,5,8,2]=>[2,3,2,1]=>10100101=>6 [8,1,5,3,6,7,4,2]=>[1,8,4,6,3,2,5,7]=>[2,2,1,3]=>10101100=>5 [1,6,8,7,3,2,5,4]=>[8,3,1,2,6,7,4,5]=>[1,1,4,2]=>11100010=>3 [5,7,2,1,8,6,4,3]=>[4,2,7,8,1,3,5,6]=>[1,3,4]=>11001000=>3 [5,2,4,6,3,8,1,7]=>[4,7,5,3,6,1,8,2]=>[2,1,2,2,1]=>10110101=>6 [8,5,6,4,1,2,7,3]=>[1,4,3,5,8,7,2,6]=>[2,3,1,2]=>10100110=>5 [8,3,6,2,5,4,7,1]=>[1,6,3,7,4,5,2,8]=>[2,2,2,2]=>10101010=>7 [7,5,2,1,4,8,6,3]=>[2,4,7,8,5,1,3,6]=>[4,1,3]=>10001100=>3 [3,4,7,1,8,5,2,6]=>[6,5,2,8,1,4,7,3]=>[1,1,2,3,1]=>11101001=>4 [7,8,4,1,3,2,6,5]=>[2,1,5,8,6,7,3,4]=>[1,3,2,2]=>11001010=>5 [3,8,2,1,6,5,7,4]=>[6,1,7,8,3,4,2,5]=>[1,3,2,2]=>11001010=>5 [5,1,3,8,7,2,4,6]=>[4,8,6,1,2,7,5,3]=>[2,1,3,1,1]=>10110011=>4 [8,6,1,3,7,5,4,2]=>[1,3,8,6,2,4,5,7]=>[3,1,4]=>10011000=>3 [8,7,1,6,5,3,4,2]=>[1,2,8,3,4,6,5,7]=>[3,3,2]=>10010010=>5 [2,5,7,6,1,4,3,8]=>[7,4,2,3,8,5,6,1]=>[1,1,3,2,1]=>11100101=>4 [5,6,3,4,1,8,7,2]=>[4,3,6,5,8,1,2,7]=>[1,2,2,3]=>11010100=>5 [2,8,1,6,7,4,3,5]=>[7,1,8,3,2,5,6,4]=>[1,2,1,3,1]=>11011001=>4 [8,3,1,6,5,7,2,4]=>[1,6,8,3,4,2,7,5]=>[3,2,2,1]=>10010101=>6 [8,1,6,5,7,4,2,3]=>[1,8,3,4,2,5,7,6]=>[2,2,3,1]=>10101001=>6 [5,1,8,2,3,7,4,6]=>[4,8,1,7,6,2,5,3]=>[2,2,1,2,1]=>10101101=>6 [7,6,2,5,1,4,8,3]=>[2,3,7,4,8,5,1,6]=>[3,2,1,2]=>10010110=>5 [5,7,6,4,2,1,8,3]=>[4,2,3,5,7,8,1,6]=>[1,5,2]=>11000010=>3 [5,2,3,1,7,8,6,4]=>[4,7,6,8,2,1,3,5]=>[2,2,1,3]=>10101100=>5 [4,6,5,1,8,7,3,2]=>[5,3,4,8,1,2,6,7]=>[1,3,4]=>11001000=>3 [4,1,7,5,6,3,8,2]=>[5,8,2,4,3,6,1,7]=>[2,2,2,2]=>10101010=>7 [1,7,8,6,2,5,3,4]=>[8,2,1,3,7,4,6,5]=>[1,1,3,2,1]=>11100101=>4 [7,4,6,2,1,5,8,3]=>[2,5,3,7,8,4,1,6]=>[2,3,1,2]=>10100110=>5 [5,2,7,8,6,4,3,1]=>[4,7,2,1,3,5,6,8]=>[2,1,5]=>10110000=>3 [5,6,8,1,7,2,4,3]=>[4,3,1,8,2,7,5,6]=>[1,1,2,2,2]=>11101010=>5 [7,2,3,5,6,1,4,8]=>[2,7,6,4,3,8,5,1]=>[2,1,1,2,1,1]=>10111011=>4 [4,6,5,1,3,7,2,8]=>[5,3,4,8,6,2,7,1]=>[1,3,1,2,1]=>11001101=>4 [3,9,8,7,6,5,1,4,2]=>[7,1,2,3,4,5,9,6,8]=>[1,6,2]=>110000010=>3 [3,9,1,7,6,5,4,8,2]=>[7,1,9,3,4,5,6,2,8]=>[1,2,4,2]=>110100010=>5 [3,2,1,7,6,5,4,8,9]=>[7,8,9,3,4,5,6,2,1]=>[3,4,1,1]=>100100011=>4 [5,1,2,3,4,6,7,9,8]=>[5,9,8,7,6,4,3,1,2]=>[2,1,1,1,1,1,2]=>101111110=>3 [4,5,1,2,3,6,7,9,8]=>[6,5,9,8,7,4,3,1,2]=>[1,2,1,1,1,1,2]=>110111110=>3 [5,6,2,3,4,7,8,9,1]=>[5,4,8,7,6,3,2,1,9]=>[1,2,1,1,1,1,2]=>110111110=>3 [4,8,5,1,7,3,6,2]=>[5,1,4,8,2,6,3,7]=>[1,3,2,2]=>11001010=>5 [4,3,2,9,1,8,7,6,5]=>[6,7,8,1,9,2,3,4,5]=>[3,2,4]=>100101000=>5 [4,6,5,7,2,8,3,1]=>[5,3,4,2,7,1,6,8]=>[1,2,2,3]=>11010100=>5 [7,3,4,6,8,5,2,1]=>[2,6,5,3,1,4,7,8]=>[2,1,1,4]=>10111000=>3 [2,3,7,8,4,6,5,1]=>[7,6,2,1,5,3,4,8]=>[1,1,1,2,3]=>11110100=>3 [7,2,6,3,8,4,5,1]=>[2,7,3,6,1,5,4,8]=>[2,2,2,2]=>10101010=>7 [2,8,7,4,5,3,6,1]=>[7,1,2,5,4,6,3,8]=>[1,3,2,2]=>11001010=>5 [5,2,4,1,7,6,3,8]=>[4,7,5,8,2,3,6,1]=>[2,2,3,1]=>10101001=>6 [6,5,4,7,1,3,2,8]=>[3,4,5,2,8,6,7,1]=>[3,2,2,1]=>10010101=>6 [6,3,4,2,1,7,5,8]=>[3,6,5,7,8,2,4,1]=>[2,3,2,1]=>10100101=>6 [3,8,6,4,2,5,1,7]=>[6,1,3,5,7,4,8,2]=>[1,4,2,1]=>11000101=>4 [3,1,5,7,6,4,8,2]=>[6,8,4,2,3,5,1,7]=>[2,1,3,2]=>10110010=>5 [2,7,6,4,1,5,3,8]=>[7,2,3,5,8,4,6,1]=>[1,4,2,1]=>11000101=>4 [6,2,4,7,1,8,3,5]=>[3,7,5,2,8,1,6,4]=>[2,1,2,2,1]=>10110101=>6 [8,3,1,4,5,6,2,7]=>[1,6,8,5,4,3,7,2]=>[3,1,1,2,1]=>10011101=>4 [8,6,7,3,1,5,2,4]=>[1,3,2,6,8,4,7,5]=>[2,3,2,1]=>10100101=>6 [5,6,8,3,7,4,1,2]=>[4,3,1,6,2,5,8,7]=>[1,1,2,3,1]=>11101001=>4 [7,1,6,8,4,5,2,3]=>[2,8,3,1,5,4,7,6]=>[2,1,2,2,1]=>10110101=>6 [3,7,8,1,2,6,4,5]=>[6,2,1,8,7,3,5,4]=>[1,1,2,1,2,1]=>11101101=>4 [8,2,4,5,3,6,1,7]=>[1,7,5,4,6,3,8,2]=>[2,1,2,2,1]=>10110101=>6 [6,1,3,8,2,4,7,5]=>[3,8,6,1,7,5,2,4]=>[2,1,2,1,2]=>10110110=>5 [5,1,4,7,6,2,3,8]=>[4,8,5,2,3,7,6,1]=>[2,1,3,1,1]=>10110011=>4 [2,3,5,6,1,8,7,4]=>[7,6,4,3,8,1,2,5]=>[1,1,1,2,3]=>11110100=>3 [4,5,6,2,8,1,3,7]=>[5,4,3,7,1,8,6,2]=>[1,1,2,2,1,1]=>11101011=>4 [6,4,8,2,7,3,5,1]=>[3,5,1,7,2,6,4,8]=>[2,2,2,2]=>10101010=>7 [1,7,3,6,2,5,8,4]=>[8,2,6,3,7,4,1,5]=>[1,2,2,1,2]=>11010110=>5 [5,7,4,6,8,3,1,2]=>[4,2,5,3,1,6,8,7]=>[1,2,1,3,1]=>11011001=>4 [1,4,8,7,5,6,2,3]=>[8,5,1,2,4,3,7,6]=>[1,1,3,2,1]=>11100101=>4 [5,3,1,6,8,7,4,2]=>[4,6,8,3,1,2,5,7]=>[3,1,4]=>10011000=>3 [5,3,1,4,8,7,6,2]=>[4,6,8,5,1,2,3,7]=>[3,1,4]=>10011000=>3 [6,8,5,7,4,3,1,2]=>[3,1,4,2,5,6,8,7]=>[1,2,4,1]=>11010001=>4 [2,4,7,6,1,5,3,8]=>[7,5,2,3,8,4,6,1]=>[1,1,3,2,1]=>11100101=>4 [8,6,7,3,1,2,5,4]=>[1,3,2,6,8,7,4,5]=>[2,3,1,2]=>10100110=>5 [3,8,2,7,4,1,5,6]=>[6,1,7,2,5,8,4,3]=>[1,2,3,1,1]=>11010011=>4 [3,8,7,2,5,6,4,1]=>[6,1,2,7,4,3,5,8]=>[1,3,1,3]=>11001100=>3 [6,7,3,5,2,1,4,8]=>[3,2,6,4,7,8,5,1]=>[1,2,3,1,1]=>11010011=>4 [6,3,4,2,8,5,7,1]=>[3,6,5,7,1,4,2,8]=>[2,2,2,2]=>10101010=>7 [4,2,7,6,1,3,5,8]=>[5,7,2,3,8,6,4,1]=>[2,3,1,1,1]=>10100111=>4 [9,4,7,6,5,3,2,1,8]=>[1,6,3,4,5,7,8,9,2]=>[2,6,1]=>101000001=>4 [7,1,4,6,2,5,3,8]=>[2,8,5,3,7,4,6,1]=>[2,1,2,2,1]=>10110101=>6 [8,4,6,3,2,5,7,1]=>[1,5,3,6,7,4,2,8]=>[2,3,1,2]=>10100110=>5 [8,3,4,6,2,5,7,1]=>[1,6,5,3,7,4,2,8]=>[2,1,2,1,2]=>10110110=>5 [8,1,2,4,5,7,3,6]=>[1,8,7,5,4,2,6,3]=>[2,1,1,1,2,1]=>10111101=>4 [7,4,6,5,2,3,8,1]=>[2,5,3,4,7,6,1,8]=>[2,3,1,2]=>10100110=>5 [8,5,2,1,3,7,6,4]=>[1,4,7,8,6,2,3,5]=>[4,1,3]=>10001100=>3 [5,8,6,3,1,4,7,2]=>[4,1,3,6,8,5,2,7]=>[1,4,1,2]=>11000110=>3 [5,7,4,6,2,1,3,8]=>[4,2,5,3,7,8,6,1]=>[1,2,3,1,1]=>11010011=>4 [8,3,7,5,4,6,1,2]=>[1,6,2,4,5,3,8,7]=>[2,3,2,1]=>10100101=>6 [8,5,7,1,4,6,2,3]=>[1,4,2,8,5,3,7,6]=>[2,2,1,2,1]=>10101101=>6 [6,1,2,5,3,4,8,7]=>[3,8,7,4,6,5,1,2]=>[2,1,2,1,2]=>10110110=>5 [8,2,5,7,3,1,6,4]=>[1,7,4,2,6,8,3,5]=>[2,1,3,2]=>10110010=>5 [2,4,7,6,3,1,5,8]=>[7,5,2,3,6,8,4,1]=>[1,1,4,1,1]=>11100011=>2 [1,3,5,8,7,4,6,2]=>[8,6,4,1,2,5,3,7]=>[1,1,1,3,2]=>11110010=>3 [2,1,8,7,3,5,6,4]=>[7,8,1,2,6,4,3,5]=>[2,3,1,2]=>10100110=>5 [3,1,5,6,8,7,4,2]=>[6,8,4,3,1,2,5,7]=>[2,1,1,4]=>10111000=>3 [4,7,8,2,3,5,6,1]=>[5,2,1,7,6,4,3,8]=>[1,1,2,1,1,2]=>11101110=>3 [6,2,5,7,8,3,4,1]=>[3,7,4,2,1,6,5,8]=>[2,1,1,2,2]=>10111010=>5 [6,2,4,7,3,5,8,1]=>[3,7,5,2,6,4,1,8]=>[2,1,2,1,2]=>10110110=>5 [2,7,6,5,4,3,9,1,8]=>[8,3,4,5,6,7,1,9,2]=>[1,5,2,1]=>110000101=>4 [3,7,6,5,4,9,2,1,8]=>[7,3,4,5,6,1,8,9,2]=>[1,4,3,1]=>110001001=>4 [3,7,2,6,4,5,8,1]=>[6,2,7,3,5,4,1,8]=>[1,2,2,1,2]=>11010110=>5 [5,2,3,6,8,1,7,4]=>[4,7,6,3,1,8,2,5]=>[2,1,1,2,2]=>10111010=>5 [4,2,3,7,5,1,8,6]=>[5,7,6,2,4,8,1,3]=>[2,1,3,2]=>10110010=>5 [8,5,3,7,1,4,6,2]=>[1,4,6,2,8,5,3,7]=>[3,2,1,2]=>10010110=>5 [8,3,2,1,6,7,5,4]=>[1,6,7,8,3,2,4,5]=>[4,1,3]=>10001100=>3 [8,7,2,1,5,6,4,3]=>[1,2,7,8,4,3,5,6]=>[4,1,3]=>10001100=>3 [5,7,6,3,1,4,2,8]=>[4,2,3,6,8,5,7,1]=>[1,4,2,1]=>11000101=>4 [5,4,2,1,6,3,8,7]=>[4,5,7,8,3,6,1,2]=>[4,2,2]=>10001010=>5 [7,1,8,4,6,2,5,3]=>[2,8,1,5,3,7,4,6]=>[2,2,2,2]=>10101010=>7 [8,5,2,3,6,7,1,4]=>[1,4,7,6,3,2,8,5]=>[3,1,1,2,1]=>10011101=>4 [6,5,1,7,4,8,2,3]=>[3,4,8,2,5,1,7,6]=>[3,2,2,1]=>10010101=>6 [5,8,4,6,3,1,2,7]=>[4,1,5,3,6,8,7,2]=>[1,2,3,1,1]=>11010011=>4 [8,1,4,6,3,2,7,5]=>[1,8,5,3,6,7,2,4]=>[2,1,3,2]=>10110010=>5 [2,8,1,5,4,6,3,7]=>[7,1,8,4,5,3,6,2]=>[1,2,2,2,1]=>11010101=>6 [5,6,7,2,4,8,1,3]=>[4,3,2,7,5,1,8,6]=>[1,1,2,1,2,1]=>11101101=>4 [6,3,1,8,5,7,4,2]=>[3,6,8,1,4,2,5,7]=>[3,2,3]=>10010100=>5 [5,2,8,7,4,3,6,1]=>[4,7,1,2,5,6,3,8]=>[2,4,2]=>10100010=>5 [1,7,4,6,5,2,8,3]=>[8,2,5,3,4,7,1,6]=>[1,2,3,2]=>11010010=>5 [1,5,8,6,4,7,3,2]=>[8,4,1,3,5,2,6,7]=>[1,1,3,3]=>11100100=>3 [8,4,7,5,3,2,6,1]=>[1,5,2,4,6,7,3,8]=>[2,4,2]=>10100010=>5 [7,4,3,8,6,5,2,1]=>[2,5,6,1,3,4,7,8]=>[3,5]=>10010000=>3 [2,3,6,4,8,1,7,5]=>[7,6,3,5,1,8,2,4]=>[1,1,2,2,2]=>11101010=>5 [2,3,7,6,4,8,1,5]=>[7,6,2,3,5,1,8,4]=>[1,1,3,2,1]=>11100101=>4 [7,6,5,4,3,8,9,2,1]=>[3,4,5,6,7,2,1,8,9]=>[5,1,3]=>100001100=>3 [7,6,5,4,8,9,3,2,1]=>[3,4,5,6,2,1,7,8,9]=>[4,1,4]=>100011000=>3 [5,4,8,7,3,1,6,2]=>[4,5,1,2,6,8,3,7]=>[2,4,2]=>10100010=>5 [8,3,1,6,4,5,2,7]=>[1,6,8,3,5,4,7,2]=>[3,2,2,1]=>10010101=>6 [6,1,3,2,4,8,5,7]=>[3,8,6,7,5,1,4,2]=>[2,2,1,2,1]=>10101101=>6 [3,4,5,8,7,1,6,2]=>[6,5,4,1,2,8,3,7]=>[1,1,1,3,2]=>11110010=>3 [1,7,2,6,8,4,3,5]=>[8,2,7,3,1,5,6,4]=>[1,2,1,3,1]=>11011001=>4 [5,2,1,7,3,6,8,4]=>[4,7,8,2,6,3,1,5]=>[3,2,1,2]=>10010110=>5 [5,8,7,1,3,2,6,4]=>[4,1,2,8,6,7,3,5]=>[1,3,2,2]=>11001010=>5 [3,8,5,4,7,1,6,2]=>[6,1,4,5,2,8,3,7]=>[1,3,2,2]=>11001010=>5 [3,4,7,5,1,2,8,6]=>[6,5,2,4,8,7,1,3]=>[1,1,3,1,2]=>11100110=>3 [3,4,8,1,7,5,2,6]=>[6,5,1,8,2,4,7,3]=>[1,1,2,3,1]=>11101001=>4 [7,4,6,5,3,1,2,8]=>[2,5,3,4,6,8,7,1]=>[2,4,1,1]=>10100011=>4 [3,4,8,6,1,2,7,5]=>[6,5,1,3,8,7,2,4]=>[1,1,3,1,2]=>11100110=>3 [1,8,2,5,4,3,7,6]=>[8,1,7,4,5,6,2,3]=>[1,2,3,2]=>11010010=>5 [8,6,9,1,7,5,4,3,2]=>[2,4,1,9,3,5,6,7,8]=>[2,2,5]=>101010000=>5 [7,9,6,1,8,5,4,3,2]=>[3,1,4,9,2,5,6,7,8]=>[1,3,5]=>110010000=>3 [7,3,5,6,4,8,2,1]=>[2,6,4,3,5,1,7,8]=>[2,1,2,3]=>10110100=>5 [4,8,5,3,7,6,2,1]=>[5,1,4,6,2,3,7,8]=>[1,3,4]=>11001000=>3 [2,8,6,7,3,5,4,1]=>[7,1,3,2,6,4,5,8]=>[1,2,2,3]=>11010100=>5 [7,3,5,2,6,8,4,1]=>[2,6,4,7,3,1,5,8]=>[2,2,1,3]=>10101100=>5 [7,4,3,1,6,8,5,2]=>[2,5,6,8,3,1,4,7]=>[4,1,3]=>10001100=>3 [4,7,1,5,6,8,3,2]=>[5,2,8,4,3,1,6,7]=>[1,2,1,1,3]=>11011100=>3 [8,3,5,6,7,4,2,1]=>[1,6,4,3,2,5,7,8]=>[2,1,1,4]=>10111000=>3 [3,4,8,1,2,7,5,6]=>[6,5,1,8,7,2,4,3]=>[1,1,2,1,2,1]=>11101101=>4 [7,8,5,2,4,3,1,6]=>[2,1,4,7,5,6,8,3]=>[1,3,3,1]=>11001001=>4 [5,7,1,2,4,3,6,8]=>[4,2,8,7,5,6,3,1]=>[1,2,1,2,1,1]=>11011011=>4 [4,6,2,5,8,1,7,3]=>[5,3,7,4,1,8,2,6]=>[1,2,1,2,2]=>11011010=>5 [4,8,5,2,1,6,3,7]=>[5,1,4,7,8,3,6,2]=>[1,4,2,1]=>11000101=>4 [8,7,2,3,1,5,4,6]=>[1,2,7,6,8,4,5,3]=>[3,2,2,1]=>10010101=>6 [8,7,2,3,5,6,1,4]=>[1,2,7,6,4,3,8,5]=>[3,1,1,2,1]=>10011101=>4 [8,6,2,4,3,7,1,5]=>[1,3,7,5,6,2,8,4]=>[3,2,2,1]=>10010101=>6 [3,5,4,6,7,1,2,8]=>[6,4,5,3,2,8,7,1]=>[1,2,1,2,1,1]=>11011011=>4 [5,4,6,8,1,7,3,2]=>[4,5,3,1,8,2,6,7]=>[2,1,2,3]=>10110100=>5 [4,2,7,8,5,1,3,6]=>[5,7,2,1,4,8,6,3]=>[2,1,3,1,1]=>10110011=>4 [2,1,7,4,3,5,6,8]=>[7,8,2,5,6,4,3,1]=>[2,3,1,1,1]=>10100111=>4 [9,4,6,8,2,3,5,7,1]=>[1,6,4,2,8,7,5,3,9]=>[2,1,2,1,1,2]=>101101110=>5 [9,3,5,7,8,2,4,6,1]=>[1,7,5,3,2,8,6,4,9]=>[2,1,1,2,1,2]=>101110110=>5 [8,3,5,6,7,2,4,1]=>[1,6,4,3,2,7,5,8]=>[2,1,1,2,2]=>10111010=>5 [4,6,8,9,3,5,7,2,1]=>[6,4,2,1,7,5,3,8,9]=>[1,1,1,2,1,3]=>111101100=>3 [8,1,3,6,4,5,7,2]=>[1,8,6,3,5,4,2,7]=>[2,1,2,1,2]=>10110110=>5 [6,3,5,7,4,2,1,8]=>[3,6,4,2,5,7,8,1]=>[2,1,4,1]=>10110001=>4 [8,1,4,3,7,6,2,5]=>[1,8,5,6,2,3,7,4]=>[2,2,3,1]=>10101001=>6 [4,2,3,7,8,1,5,6]=>[5,7,6,2,1,8,4,3]=>[2,1,1,2,1,1]=>10111011=>4 [2,8,7,3,1,5,6,4]=>[7,1,2,6,8,4,3,5]=>[1,4,1,2]=>11000110=>3 [4,2,3,7,8,6,5,1]=>[5,7,6,2,1,3,4,8]=>[2,1,1,4]=>10111000=>3 [2,4,3,1,7,5,6,8]=>[7,5,6,8,2,4,3,1]=>[1,3,2,1,1]=>11001011=>4 [3,8,7,5,2,4,6,1]=>[6,1,2,4,7,5,3,8]=>[1,4,1,2]=>11000110=>3 [7,3,5,4,1,2,8,6]=>[2,6,4,5,8,7,1,3]=>[2,3,1,2]=>10100110=>5 [2,7,6,4,3,1,5,8]=>[7,2,3,5,6,8,4,1]=>[1,5,1,1]=>11000011=>2 [4,1,6,5,7,8,3,2]=>[5,8,3,4,2,1,6,7]=>[2,2,1,3]=>10101100=>5 [6,1,7,2,4,5,3,8]=>[3,8,2,7,5,4,6,1]=>[2,2,1,2,1]=>10101101=>6 [3,7,6,4,2,5,1,8]=>[6,2,3,5,7,4,8,1]=>[1,4,2,1]=>11000101=>4 [8,4,1,7,5,6,3,2]=>[1,5,8,2,4,3,6,7]=>[3,2,3]=>10010100=>5 [7,5,9,3,8,1,6,2,4]=>[3,5,1,7,2,9,4,8,6]=>[2,2,2,2,1]=>101010101=>8 [1,6,8,2,5,4,3,7]=>[8,3,1,7,4,5,6,2]=>[1,1,2,3,1]=>11101001=>4 [6,5,4,1,8,3,2,7]=>[3,4,5,8,1,6,7,2]=>[4,3,1]=>10001001=>4 [5,4,8,1,7,3,2,6]=>[4,5,1,8,2,6,7,3]=>[2,2,3,1]=>10101001=>6 [5,7,1,8,3,4,2,6]=>[4,2,8,1,6,5,7,3]=>[1,2,2,2,1]=>11010101=>6 [1,7,3,4,6,2,5,8]=>[8,2,6,5,3,7,4,1]=>[1,2,1,2,1,1]=>11011011=>4 [5,2,8,1,3,6,4,7]=>[4,7,1,8,6,3,5,2]=>[2,2,1,2,1]=>10101101=>6 [2,7,1,4,3,5,6,8]=>[7,2,8,5,6,4,3,1]=>[1,2,2,1,1,1]=>11010111=>4 [6,1,4,3,7,2,5,8]=>[3,8,5,6,2,7,4,1]=>[2,2,2,1,1]=>10101011=>6 [5,8,7,4,2,3,6,1]=>[4,1,2,5,7,6,3,8]=>[1,4,1,2]=>11000110=>3 [8,1,3,4,7,6,5,2]=>[1,8,6,5,2,3,4,7]=>[2,1,1,4]=>10111000=>3 [8,2,3,1,5,7,4,6]=>[1,7,6,8,4,2,5,3]=>[2,2,1,2,1]=>10101101=>6 [7,5,2,3,6,4,1,8]=>[2,4,7,6,3,5,8,1]=>[3,1,3,1]=>10011001=>4 [6,3,5,2,8,4,1,7]=>[3,6,4,7,1,5,8,2]=>[2,2,3,1]=>10101001=>6 [8,2,3,7,5,1,4,6]=>[1,7,6,2,4,8,5,3]=>[2,1,3,1,1]=>10110011=>4 [7,2,6,3,8,1,4,5]=>[2,7,3,6,1,8,5,4]=>[2,2,2,1,1]=>10101011=>6 [7,8,5,2,1,6,3,4]=>[2,1,4,7,8,3,6,5]=>[1,4,2,1]=>11000101=>4 [6,8,1,5,7,2,4,3]=>[3,1,8,4,2,7,5,6]=>[1,2,1,2,2]=>11011010=>5 [6,8,2,5,7,4,3,1]=>[3,1,7,4,2,5,6,8]=>[1,2,1,4]=>11011000=>3 [8,2,7,3,5,4,6,1]=>[1,7,2,6,4,5,3,8]=>[2,2,2,2]=>10101010=>7 [8,6,3,4,2,7,5,1]=>[1,3,6,5,7,2,4,8]=>[3,2,3]=>10010100=>5 [6,5,4,3,1,9,8,7,2]=>[4,5,6,7,9,1,2,3,8]=>[5,4]=>100001000=>3 [2,4,6,5,1,7,3,8]=>[7,5,3,4,8,2,6,1]=>[1,1,3,2,1]=>11100101=>4 [7,2,4,3,8,1,6,5]=>[2,7,5,6,1,8,3,4]=>[2,2,2,2]=>10101010=>7 [6,1,3,2,4,7,5,8]=>[3,8,6,7,5,2,4,1]=>[2,2,1,2,1]=>10101101=>6 [8,2,4,7,3,5,1,6]=>[1,7,5,2,6,4,8,3]=>[2,1,2,2,1]=>10110101=>6 [1,5,6,2,7,4,3,8]=>[8,4,3,7,2,5,6,1]=>[1,1,2,3,1]=>11101001=>4 [7,2,1,4,3,6,8,5]=>[2,7,8,5,6,3,1,4]=>[3,2,1,2]=>10010110=>5 [1,2,8,5,4,3,7,6]=>[8,7,1,4,5,6,2,3]=>[1,1,4,2]=>11100010=>3 [6,5,7,4,8,3,9,2,1]=>[4,5,3,6,2,7,1,8,9]=>[2,2,2,3]=>101010100=>7 [7,8,6,2,5,4,1,3]=>[2,1,3,7,4,5,8,6]=>[1,3,3,1]=>11001001=>4 [3,4,5,7,6,1,2,8]=>[6,5,4,2,3,8,7,1]=>[1,1,1,3,1,1]=>11110011=>2 [1,5,4,2,6,7,8,3]=>[8,4,5,7,3,2,1,6]=>[1,3,1,1,2]=>11001110=>3 [2,4,6,8,9,1,3,5,7]=>[8,6,4,2,1,9,7,5,3]=>[1,1,1,1,2,1,1,1]=>111110111=>2 [1,7,4,3,5,8,6,2]=>[8,2,5,6,4,1,3,7]=>[1,3,1,3]=>11001100=>3 [8,7,6,5,9,2,4,1,3]=>[2,3,4,5,1,8,6,9,7]=>[4,2,2,1]=>100010101=>6 [5,2,7,6,4,1,3,8]=>[4,7,2,3,5,8,6,1]=>[2,4,1,1]=>10100011=>4 [5,2,1,3,4,7,8,6]=>[4,7,8,6,5,2,1,3]=>[3,1,1,1,2]=>10011110=>3 [7,1,4,2,8,3,5,6]=>[2,8,5,7,1,6,4,3]=>[2,2,2,1,1]=>10101011=>6 [5,1,3,6,4,8,2,7]=>[4,8,6,3,5,1,7,2]=>[2,1,2,2,1]=>10110101=>6 [8,7,6,5,2,1,9,4,3]=>[2,3,4,5,8,9,1,6,7]=>[6,3]=>100000100=>3 [4,2,3,8,7,6,1,5]=>[5,7,6,1,2,3,8,4]=>[2,1,4,1]=>10110001=>4 [6,2,1,5,3,4,7,8]=>[3,7,8,4,6,5,2,1]=>[3,2,1,1,1]=>10010111=>4 [4,2,3,7,1,6,8,5]=>[5,7,6,2,8,3,1,4]=>[2,1,2,1,2]=>10110110=>5 [4,1,5,8,7,3,6,2]=>[5,8,4,1,2,6,3,7]=>[2,1,3,2]=>10110010=>5 [4,1,3,8,7,6,2,5]=>[5,8,6,1,2,3,7,4]=>[2,1,4,1]=>10110001=>4 [6,2,1,3,5,7,4,8]=>[3,7,8,6,4,2,5,1]=>[3,1,1,2,1]=>10011101=>4 [8,5,2,7,6,4,3,1]=>[1,4,7,2,3,5,6,8]=>[3,5]=>10010000=>3 [7,3,1,6,4,2,5,8]=>[2,6,8,3,5,7,4,1]=>[3,3,1,1]=>10010011=>4 [7,1,4,3,6,5,2,8]=>[2,8,5,6,3,4,7,1]=>[2,2,3,1]=>10101001=>6 [5,2,8,3,1,6,4,7]=>[4,7,1,6,8,3,5,2]=>[2,3,2,1]=>10100101=>6 [5,3,1,8,4,2,7,6]=>[4,6,8,1,5,7,2,3]=>[3,3,2]=>10010010=>5 [5,7,2,1,4,6,3,8]=>[4,2,7,8,5,3,6,1]=>[1,3,1,2,1]=>11001101=>4 [2,7,1,3,5,8,6,4]=>[7,2,8,6,4,1,3,5]=>[1,2,1,1,3]=>11011100=>3 [6,5,3,8,2,4,1,7]=>[3,4,6,1,7,5,8,2]=>[3,2,2,1]=>10010101=>6 [7,2,5,6,3,1,4,8]=>[2,7,4,3,6,8,5,1]=>[2,1,3,1,1]=>10110011=>4 [8,5,2,4,1,7,6,3]=>[1,4,7,5,8,2,3,6]=>[3,2,3]=>10010100=>5 [1,3,8,6,2,5,7,4]=>[8,6,1,3,7,4,2,5]=>[1,1,3,1,2]=>11100110=>3 [1,8,6,5,4,2,7,3]=>[8,1,3,4,5,7,2,6]=>[1,5,2]=>11000010=>3 [6,5,7,4,2,1,8,3]=>[3,4,2,5,7,8,1,6]=>[2,4,2]=>10100010=>5 [2,4,5,7,8,6,1,3]=>[7,5,4,2,1,3,8,6]=>[1,1,1,1,3,1]=>11111001=>2 [4,5,8,6,3,1,2,7]=>[5,4,1,3,6,8,7,2]=>[1,1,4,1,1]=>11100011=>2 [3,6,5,1,2,8,7,4]=>[6,3,4,8,7,1,2,5]=>[1,3,1,3]=>11001100=>3 [2,7,4,5,1,6,3,8]=>[7,2,5,4,8,3,6,1]=>[1,2,2,2,1]=>11010101=>6 [5,8,6,3,2,7,4,1]=>[4,1,3,6,7,2,5,8]=>[1,4,3]=>11000100=>3 [3,4,8,7,2,5,6,1]=>[6,5,1,2,7,4,3,8]=>[1,1,3,1,2]=>11100110=>3 [8,3,6,5,1,4,2,7]=>[1,6,3,4,8,5,7,2]=>[2,3,2,1]=>10100101=>6 [5,8,7,3,4,2,1,6]=>[4,1,2,6,5,7,8,3]=>[1,3,3,1]=>11001001=>4 [3,5,8,7,4,2,1,6]=>[6,4,1,2,5,7,8,3]=>[1,1,5,1]=>11100001=>2 [8,6,2,1,7,5,3,4]=>[1,3,7,8,2,4,6,5]=>[4,3,1]=>10001001=>4 [3,1,6,5,4,7,8,2]=>[6,8,3,4,5,2,1,7]=>[2,3,1,2]=>10100110=>5 [7,1,9,6,5,4,3,2,8]=>[3,9,1,4,5,6,7,8,2]=>[2,6,1]=>101000001=>4 [7,1,8,9,5,4,3,2,6]=>[3,9,2,1,5,6,7,8,4]=>[2,1,5,1]=>101100001=>4 [6,4,8,5,7,3,2,1]=>[3,5,1,4,2,6,7,8]=>[2,2,4]=>10101000=>5 [7,6,3,8,4,1,5,2]=>[2,3,6,1,5,8,4,7]=>[3,3,2]=>10010010=>5 [6,7,3,2,1,5,4,8]=>[3,2,6,7,8,4,5,1]=>[1,4,2,1]=>11000101=>4 [6,1,4,2,5,7,3,8]=>[3,8,5,7,4,2,6,1]=>[2,2,1,2,1]=>10101101=>6 [8,1,3,4,7,6,2,5]=>[1,8,6,5,2,3,7,4]=>[2,1,1,3,1]=>10111001=>4 [3,6,4,5,8,2,7,1]=>[6,3,5,4,1,7,2,8]=>[1,2,1,2,2]=>11011010=>5 [2,5,1,6,8,7,3,4]=>[7,4,8,3,1,2,6,5]=>[1,2,1,3,1]=>11011001=>4 [5,8,2,3,4,1,7,6]=>[4,1,7,6,5,8,2,3]=>[1,2,1,2,2]=>11011010=>5 [5,3,8,6,7,1,2,4]=>[4,6,1,3,2,8,7,5]=>[2,2,2,1,1]=>10101011=>6 [4,7,1,2,3,6,8,5]=>[5,2,8,7,6,3,1,4]=>[1,2,1,1,1,2]=>11011110=>3 [8,6,7,2,1,5,4,3]=>[1,3,2,7,8,4,5,6]=>[2,3,3]=>10100100=>5 [2,3,5,7,4,1,6,8]=>[7,6,4,2,5,8,3,1]=>[1,1,1,3,1,1]=>11110011=>2 [4,2,3,7,1,6,5,8]=>[5,7,6,2,8,3,4,1]=>[2,1,2,2,1]=>10110101=>6 [3,5,2,1,7,6,4,8]=>[6,4,7,8,2,3,5,1]=>[1,3,3,1]=>11001001=>4 [2,5,3,7,6,1,4,8]=>[7,4,6,2,3,8,5,1]=>[1,2,3,1,1]=>11010011=>4 [8,3,5,6,2,7,4,1]=>[1,6,4,3,7,2,5,8]=>[2,1,2,3]=>10110100=>5 [7,3,5,8,2,6,4,1]=>[2,6,4,1,7,3,5,8]=>[2,1,2,3]=>10110100=>5 [5,6,7,1,4,3,8,2]=>[4,3,2,8,5,6,1,7]=>[1,1,2,2,2]=>11101010=>5 [6,5,4,8,1,7,3,2]=>[3,4,5,1,8,2,6,7]=>[3,2,3]=>10010100=>5 [8,2,3,6,1,5,4,7]=>[1,7,6,3,8,4,5,2]=>[2,1,2,2,1]=>10110101=>6 [1,7,8,4,5,2,6,3]=>[8,2,1,5,4,7,3,6]=>[1,1,2,2,2]=>11101010=>5 [6,3,7,4,2,5,1,8]=>[3,6,2,5,7,4,8,1]=>[2,3,2,1]=>10100101=>6 [5,3,6,4,2,7,8,1]=>[4,6,3,5,7,2,1,8]=>[2,3,1,2]=>10100110=>5 [1,2,4,3,6,8,9,7,5]=>[9,8,6,7,4,2,1,3,5]=>[1,1,2,1,1,3]=>111011100=>3 [4,1,7,6,5,3,8,2]=>[5,8,2,3,4,6,1,7]=>[2,4,2]=>10100010=>5 [7,1,2,6,8,3,4,5]=>[2,8,7,3,1,6,5,4]=>[2,1,1,2,1,1]=>10111011=>4 [3,2,8,4,5,1,6,7]=>[6,7,1,5,4,8,3,2]=>[2,2,2,1,1]=>10101011=>6 [6,3,4,2,8,1,7,5]=>[3,6,5,7,1,8,2,4]=>[2,2,2,2]=>10101010=>7 [3,5,4,1,7,6,8,2]=>[6,4,5,8,2,3,1,7]=>[1,3,2,2]=>11001010=>5 [6,1,2,8,5,7,4,3]=>[3,8,7,1,4,2,5,6]=>[2,1,2,3]=>10110100=>5 [6,1,7,2,5,4,8,3]=>[3,8,2,7,4,5,1,6]=>[2,2,2,2]=>10101010=>7 [6,1,7,2,5,4,3,8]=>[3,8,2,7,4,5,6,1]=>[2,2,3,1]=>10101001=>6 [8,3,7,1,2,6,5,4]=>[1,6,2,8,7,3,4,5]=>[2,2,1,3]=>10101100=>5 [4,7,8,6,1,2,3,5]=>[5,2,1,3,8,7,6,4]=>[1,1,3,1,1,1]=>11100111=>2 [6,3,4,7,5,2,1,8]=>[3,6,5,2,4,7,8,1]=>[2,1,4,1]=>10110001=>4 [5,6,1,8,4,7,3,2]=>[4,3,8,1,5,2,6,7]=>[1,2,2,3]=>11010100=>5 [8,7,1,5,3,6,4,2]=>[1,2,8,4,6,3,5,7]=>[3,2,3]=>10010100=>5 [4,7,5,1,6,3,2,8]=>[5,2,4,8,3,6,7,1]=>[1,3,3,1]=>11001001=>4 [3,2,7,1,6,5,4,8]=>[6,7,2,8,3,4,5,1]=>[2,2,3,1]=>10101001=>6 [5,6,1,2,7,4,3,8]=>[4,3,8,7,2,5,6,1]=>[1,2,1,3,1]=>11011001=>4 [3,8,4,5,2,1,7,6]=>[6,1,5,4,7,8,2,3]=>[1,2,3,2]=>11010010=>5 [6,3,4,7,1,2,8,5]=>[3,6,5,2,8,7,1,4]=>[2,1,2,1,2]=>10110110=>5 [4,1,6,2,8,7,3,5]=>[5,8,3,7,1,2,6,4]=>[2,2,3,1]=>10101001=>6 [8,2,3,6,1,7,5,4]=>[1,7,6,3,8,2,4,5]=>[2,1,2,3]=>10110100=>5 [5,6,2,1,7,4,8,3]=>[4,3,7,8,2,5,1,6]=>[1,3,2,2]=>11001010=>5 [8,3,4,7,5,2,6,1]=>[1,6,5,2,4,7,3,8]=>[2,1,3,2]=>10110010=>5 [8,1,2,7,5,3,6,4]=>[1,8,7,2,4,6,3,5]=>[2,1,3,2]=>10110010=>5 [8,6,2,7,5,3,4,1]=>[1,3,7,2,4,6,5,8]=>[3,3,2]=>10010010=>5 [8,7,3,4,6,1,5,2]=>[1,2,6,5,3,8,4,7]=>[3,1,2,2]=>10011010=>5 [7,1,6,2,5,4,8,3]=>[2,8,3,7,4,5,1,6]=>[2,2,2,2]=>10101010=>7 [6,5,4,1,8,3,7,2]=>[3,4,5,8,1,6,2,7]=>[4,2,2]=>10001010=>5 [5,6,1,4,8,2,3,7]=>[4,3,8,5,1,7,6,2]=>[1,2,1,2,1,1]=>11011011=>4 [4,6,8,7,5,1,3,2]=>[5,3,1,2,4,8,6,7]=>[1,1,4,2]=>11100010=>3 [1,8,4,3,5,7,2,6]=>[8,1,5,6,4,2,7,3]=>[1,3,1,2,1]=>11001101=>4 [8,5,3,7,4,2,1,6]=>[1,4,6,2,5,7,8,3]=>[3,4,1]=>10010001=>4 [6,5,1,7,8,3,2,4]=>[3,4,8,2,1,6,7,5]=>[3,1,3,1]=>10011001=>4 [3,8,6,1,2,4,7,5]=>[6,1,3,8,7,5,2,4]=>[1,3,1,1,2]=>11001110=>3 [7,6,2,1,5,4,8,3]=>[2,3,7,8,4,5,1,6]=>[4,2,2]=>10001010=>5 [5,7,6,2,3,1,8,4]=>[4,2,3,7,6,8,1,5]=>[1,3,2,2]=>11001010=>5 [2,1,8,5,3,6,4,7]=>[7,8,1,4,6,3,5,2]=>[2,3,2,1]=>10100101=>6 [8,5,1,6,7,3,4,2]=>[1,4,8,3,2,6,5,7]=>[3,1,2,2]=>10011010=>5 [6,7,5,1,8,2,4,3]=>[3,2,4,8,1,7,5,6]=>[1,3,2,2]=>11001010=>5 [5,2,8,6,7,4,3,1]=>[4,7,1,3,2,5,6,8]=>[2,2,4]=>10101000=>5 [7,3,4,5,1,8,2,6]=>[2,6,5,4,8,1,7,3]=>[2,1,2,2,1]=>10110101=>6 [7,1,4,3,5,8,6,2]=>[2,8,5,6,4,1,3,7]=>[2,2,1,3]=>10101100=>5 [4,2,6,5,3,7,1,8]=>[5,7,3,4,6,2,8,1]=>[2,3,2,1]=>10100101=>6 [2,8,6,7,3,1,5,4]=>[7,1,3,2,6,8,4,5]=>[1,2,3,2]=>11010010=>5 [8,7,6,5,2,1,3,4,9]=>[2,3,4,5,8,9,7,6,1]=>[6,1,1,1]=>100000111=>2 [3,8,2,6,1,7,5,4]=>[6,1,7,3,8,2,4,5]=>[1,2,2,3]=>11010100=>5 [3,1,4,7,8,5,6,2]=>[6,8,5,2,1,4,3,7]=>[2,1,1,2,2]=>10111010=>5 [6,7,1,4,2,5,8,3]=>[3,2,8,5,7,4,1,6]=>[1,2,2,1,2]=>11010110=>5 [1,8,2,6,5,7,4,3]=>[8,1,7,3,4,2,5,6]=>[1,2,2,3]=>11010100=>5 [8,1,2,5,4,7,3,6]=>[1,8,7,4,5,2,6,3]=>[2,1,2,2,1]=>10110101=>6 [3,1,4,7,5,6,8,2]=>[6,8,5,2,4,3,1,7]=>[2,1,2,1,2]=>10110110=>5 [4,5,6,7,8,3,9,2,1]=>[6,5,4,3,2,7,1,8,9]=>[1,1,1,1,2,3]=>111110100=>3 [5,6,7,8,4,9,3,2,1]=>[5,4,3,2,6,1,7,8,9]=>[1,1,1,2,4]=>111101000=>3 [6,7,8,5,9,4,3,2,1]=>[4,3,2,5,1,6,7,8,9]=>[1,1,2,5]=>111010000=>3 [7,1,6,2,4,3,5,8]=>[2,8,3,7,5,6,4,1]=>[2,2,2,1,1]=>10101011=>6 [6,3,1,5,2,4,7,8]=>[3,6,8,4,7,5,2,1]=>[3,2,1,1,1]=>10010111=>4 [5,8,2,1,6,4,7,3]=>[4,1,7,8,3,5,2,6]=>[1,3,2,2]=>11001010=>5 [2,6,3,5,7,4,1,8]=>[7,3,6,4,2,5,8,1]=>[1,2,1,3,1]=>11011001=>4 [6,5,8,1,7,4,2,3]=>[3,4,1,8,2,5,7,6]=>[2,2,3,1]=>10101001=>6 [7,4,6,2,1,3,5,8]=>[2,5,3,7,8,6,4,1]=>[2,3,1,1,1]=>10100111=>4 [8,3,6,1,7,2,5,4]=>[1,6,3,8,2,7,4,5]=>[2,2,2,2]=>10101010=>7 [6,7,1,4,5,2,3,8]=>[3,2,8,5,4,7,6,1]=>[1,2,1,2,1,1]=>11011011=>4 [4,3,8,1,2,6,5,7]=>[5,6,1,8,7,3,4,2]=>[2,2,1,2,1]=>10101101=>6 [7,8,1,2,6,4,5,3]=>[2,1,8,7,3,5,4,6]=>[1,2,1,2,2]=>11011010=>5 [6,8,1,3,2,7,4,5]=>[3,1,8,6,7,2,5,4]=>[1,2,2,2,1]=>11010101=>6 [5,3,4,8,1,7,6,2]=>[4,6,5,1,8,2,3,7]=>[2,1,2,3]=>10110100=>5 [2,3,7,5,8,4,1,6]=>[7,6,2,4,1,5,8,3]=>[1,1,2,3,1]=>11101001=>4 [2,7,1,4,8,6,3,5]=>[7,2,8,5,1,3,6,4]=>[1,2,1,3,1]=>11011001=>4 [7,2,8,3,1,5,4,6]=>[2,7,1,6,8,4,5,3]=>[2,3,2,1]=>10100101=>6 [5,2,1,3,8,6,7,4]=>[4,7,8,6,1,3,2,5]=>[3,1,2,2]=>10011010=>5 [4,8,7,5,2,6,1,3]=>[5,1,2,4,7,3,8,6]=>[1,4,2,1]=>11000101=>4 [1,8,3,4,6,2,5,7]=>[8,1,6,5,3,7,4,2]=>[1,2,1,2,1,1]=>11011011=>4 [3,8,6,5,1,2,7,4]=>[6,1,3,4,8,7,2,5]=>[1,4,1,2]=>11000110=>3 [8,2,3,1,4,6,7,5]=>[1,7,6,8,5,3,2,4]=>[2,2,1,1,2]=>10101110=>5 [5,2,8,4,7,3,6,1]=>[4,7,1,5,2,6,3,8]=>[2,2,2,2]=>10101010=>7 [7,5,8,6,2,4,3,1]=>[2,4,1,3,7,5,6,8]=>[2,3,3]=>10100100=>5 [4,6,8,5,2,3,7,1]=>[5,3,1,4,7,6,2,8]=>[1,1,3,1,2]=>11100110=>3 [3,4,8,5,2,7,6,1]=>[6,5,1,4,7,2,3,8]=>[1,1,3,3]=>11100100=>3 [5,6,8,7,3,4,2,1]=>[4,3,1,2,6,5,7,8]=>[1,1,3,3]=>11100100=>3 [7,1,5,3,2,8,4,6]=>[2,8,4,6,7,1,5,3]=>[2,3,2,1]=>10100101=>6 [6,1,4,8,5,7,3,2]=>[3,8,5,1,4,2,6,7]=>[2,1,2,3]=>10110100=>5 [9,7,8,6,5,4,2,3,1]=>[1,3,2,4,5,6,8,7,9]=>[2,5,2]=>101000010=>5 [5,2,7,6,4,8,3,1]=>[4,7,2,3,5,1,6,8]=>[2,3,3]=>10100100=>5 [1,8,3,5,2,4,7,6]=>[8,1,6,4,7,5,2,3]=>[1,2,2,1,2]=>11010110=>5 [8,3,2,6,4,5,7,1]=>[1,6,7,3,5,4,2,8]=>[3,2,1,2]=>10010110=>5 [7,6,5,4,3,1,9,8,2]=>[3,4,5,6,7,9,1,2,8]=>[6,3]=>100000100=>3 [7,2,1,8,6,5,3,4]=>[2,7,8,1,3,4,6,5]=>[3,4,1]=>10010001=>4 [8,6,5,2,1,7,3,4]=>[1,3,4,7,8,2,6,5]=>[5,2,1]=>10000101=>4 [5,2,8,6,7,3,1,4]=>[4,7,1,3,2,6,8,5]=>[2,2,3,1]=>10101001=>6 [3,1,4,7,8,6,5,2]=>[6,8,5,2,1,3,4,7]=>[2,1,1,4]=>10111000=>3 [8,2,5,4,3,1,6,7]=>[1,7,4,5,6,8,3,2]=>[2,4,1,1]=>10100011=>4 [7,5,2,6,4,8,1,3]=>[2,4,7,3,5,1,8,6]=>[3,2,2,1]=>10010101=>6 [6,5,7,1,4,8,3,2]=>[3,4,2,8,5,1,6,7]=>[2,2,1,3]=>10101100=>5 [5,3,7,1,8,4,2,6]=>[4,6,2,8,1,5,7,3]=>[2,2,3,1]=>10101001=>6 [3,8,5,1,7,4,2,6]=>[6,1,4,8,2,5,7,3]=>[1,3,3,1]=>11001001=>4 [1,5,7,2,6,8,3,4]=>[8,4,2,7,3,1,6,5]=>[1,1,2,1,2,1]=>11101101=>4 [5,6,4,1,3,2,8,7]=>[4,3,5,8,6,7,1,2]=>[1,3,2,2]=>11001010=>5 [1,7,2,3,6,5,4,8]=>[8,2,7,6,3,4,5,1]=>[1,2,1,3,1]=>11011001=>4 [1,7,6,2,5,4,3,8]=>[8,2,3,7,4,5,6,1]=>[1,3,3,1]=>11001001=>4 [1,8,2,6,5,4,7,3]=>[8,1,7,3,4,5,2,6]=>[1,2,3,2]=>11010010=>5 [4,1,8,2,5,3,6,7]=>[5,8,1,7,4,6,3,2]=>[2,2,2,1,1]=>10101011=>6 [3,7,1,4,5,8,2,6]=>[6,2,8,5,4,1,7,3]=>[1,2,1,1,2,1]=>11011101=>4 [5,9,4,3,2,1,8,7,6]=>[5,1,6,7,8,9,2,3,4]=>[1,5,3]=>110000100=>3 [9,8,4,3,2,1,7,6,5]=>[1,2,6,7,8,9,3,4,5]=>[6,3]=>100000100=>3 [6,1,5,7,3,2,8,4]=>[3,8,4,2,6,7,1,5]=>[2,1,3,2]=>10110010=>5 [7,8,4,2,3,6,1,5]=>[2,1,5,7,6,3,8,4]=>[1,3,1,2,1]=>11001101=>4 [5,3,4,7,2,1,8,6]=>[4,6,5,2,7,8,1,3]=>[2,1,3,2]=>10110010=>5 [7,2,5,3,1,8,4,6]=>[2,7,4,6,8,1,5,3]=>[2,3,2,1]=>10100101=>6 [3,5,6,7,2,1,4,8]=>[6,4,3,2,7,8,5,1]=>[1,1,1,3,1,1]=>11110011=>2 [6,2,1,3,4,5,8,7]=>[3,7,8,6,5,4,1,2]=>[3,1,1,1,2]=>10011110=>3 [1,4,7,6,8,2,5,3]=>[8,5,2,3,1,7,4,6]=>[1,1,2,2,2]=>11101010=>5 [6,1,8,2,5,7,3,4]=>[3,8,1,7,4,2,6,5]=>[2,2,1,2,1]=>10101101=>6 [4,7,1,2,9,3,5,6,8]=>[6,3,9,8,1,7,5,4,2]=>[1,2,1,2,1,1,1]=>110110111=>4 [5,8,3,6,2,7,4,1]=>[4,1,6,3,7,2,5,8]=>[1,2,2,3]=>11010100=>5 [1,6,7,5,3,4,2,8]=>[8,3,2,4,6,5,7,1]=>[1,1,3,2,1]=>11100101=>4 [8,3,1,5,7,6,4,2]=>[1,6,8,4,2,3,5,7]=>[3,1,4]=>10011000=>3 [2,5,8,3,7,4,1,6]=>[7,4,1,6,2,5,8,3]=>[1,1,2,3,1]=>11101001=>4 [7,2,1,3,6,5,8,4]=>[2,7,8,6,3,4,1,5]=>[3,1,2,2]=>10011010=>5 [7,2,1,5,4,3,8,6]=>[2,7,8,4,5,6,1,3]=>[3,3,2]=>10010010=>5 [1,6,8,5,3,4,2,7]=>[8,3,1,4,6,5,7,2]=>[1,1,3,2,1]=>11100101=>4 [4,8,6,3,2,5,1,7]=>[5,1,3,6,7,4,8,2]=>[1,4,2,1]=>11000101=>4 [2,9,8,7,6,5,1,3,4]=>[8,1,2,3,4,5,9,7,6]=>[1,6,1,1]=>110000011=>2 [4,2,6,8,7,5,1,3]=>[5,7,3,1,2,4,8,6]=>[2,1,4,1]=>10110001=>4 [7,6,2,5,1,3,8,4]=>[2,3,7,4,8,6,1,5]=>[3,2,1,2]=>10010110=>5 [8,3,4,6,1,2,7,5]=>[1,6,5,3,8,7,2,4]=>[2,1,2,1,2]=>10110110=>5 [7,2,1,3,4,6,8,5]=>[2,7,8,6,5,3,1,4]=>[3,1,1,1,2]=>10011110=>3 [4,5,7,2,1,3,8,6]=>[5,4,2,7,8,6,1,3]=>[1,1,3,1,2]=>11100110=>3 [8,5,1,7,4,3,2,6]=>[1,4,8,2,5,6,7,3]=>[3,4,1]=>10010001=>4 [6,2,4,3,7,1,5,8]=>[3,7,5,6,2,8,4,1]=>[2,2,2,1,1]=>10101011=>6 [7,4,3,2,8,6,5,1]=>[2,5,6,7,1,3,4,8]=>[4,4]=>10001000=>3 [6,5,7,2,4,8,3,1]=>[3,4,2,7,5,1,6,8]=>[2,2,1,3]=>10101100=>5 [3,2,1,6,8,7,4,5]=>[6,7,8,3,1,2,5,4]=>[3,1,3,1]=>10011001=>4 [7,1,2,4,8,3,6,5]=>[2,8,7,5,1,6,3,4]=>[2,1,1,2,2]=>10111010=>5 [7,3,5,1,2,6,8,4]=>[2,6,4,8,7,3,1,5]=>[2,2,1,1,2]=>10101110=>5 [6,2,1,7,4,5,8,3]=>[3,7,8,2,5,4,1,6]=>[3,2,1,2]=>10010110=>5 [4,7,8,2,5,3,6,1]=>[5,2,1,7,4,6,3,8]=>[1,1,2,2,2]=>11101010=>5 [5,2,4,8,3,6,1,7]=>[4,7,5,1,6,3,8,2]=>[2,1,2,2,1]=>10110101=>6 [8,4,3,5,2,7,1,6]=>[1,5,6,4,7,2,8,3]=>[3,2,2,1]=>10010101=>6 [7,3,2,5,8,6,4,1]=>[2,6,7,4,1,3,5,8]=>[3,1,4]=>10011000=>3 [5,2,6,7,3,4,1,8]=>[4,7,3,2,6,5,8,1]=>[2,1,2,2,1]=>10110101=>6 [7,4,5,1,3,2,6,8]=>[2,5,4,8,6,7,3,1]=>[2,2,2,1,1]=>10101011=>6 [7,1,2,4,5,8,3,6]=>[2,8,7,5,4,1,6,3]=>[2,1,1,1,2,1]=>10111101=>4 [2,7,6,1,8,3,5,4]=>[7,2,3,8,1,6,4,5]=>[1,3,2,2]=>11001010=>5 [4,3,8,6,2,5,7,1]=>[5,6,1,3,7,4,2,8]=>[2,3,1,2]=>10100110=>5 [7,6,5,9,8,4,3,2,1]=>[3,4,5,1,2,6,7,8,9]=>[3,6]=>100100000=>3 [1,8,6,4,3,7,5,2]=>[8,1,3,5,6,2,4,7]=>[1,4,3]=>11000100=>3 [5,4,7,1,3,6,8,2]=>[4,5,2,8,6,3,1,7]=>[2,2,1,1,2]=>10101110=>5 [6,4,7,1,3,2,5,8]=>[3,5,2,8,6,7,4,1]=>[2,2,2,1,1]=>10101011=>6 [3,1,8,7,2,6,5,4]=>[6,8,1,2,7,3,4,5]=>[2,3,3]=>10100100=>5 [8,2,6,5,3,4,7,1]=>[1,7,3,4,6,5,2,8]=>[2,3,1,2]=>10100110=>5 [6,3,4,8,5,7,2,1]=>[3,6,5,1,4,2,7,8]=>[2,1,2,3]=>10110100=>5 [1,4,7,2,5,8,3,6,9]=>[9,6,3,8,5,2,7,4,1]=>[1,1,2,1,2,1,1]=>111011011=>4 [1,5,9,4,8,3,7,2,6]=>[9,5,1,6,2,7,3,8,4]=>[1,1,2,2,2,1]=>111010101=>6 [1,5,9,2,6,3,7,4,8]=>[9,5,1,8,4,7,3,6,2]=>[1,1,2,2,2,1]=>111010101=>6 [1,6,3,8,5,2,7,4,9]=>[9,4,7,2,5,8,3,6,1]=>[1,2,3,2,1]=>110100101=>6 [1,6,4,9,2,7,5,3,8]=>[9,4,6,1,8,3,5,7,2]=>[1,2,2,3,1]=>110101001=>6 [1,7,4,5,6,3,9,2,8]=>[9,3,6,5,4,7,1,8,2]=>[1,2,1,2,2,1]=>110110101=>6 [1,8,3,6,5,4,7,2,9]=>[9,2,7,4,5,6,3,8,1]=>[1,2,3,2,1]=>110100101=>6 [5,4,7,3,1,2,8,6]=>[4,5,2,6,8,7,1,3]=>[2,3,1,2]=>10100110=>5 [6,2,4,3,7,8,1,5]=>[3,7,5,6,2,1,8,4]=>[2,2,1,2,1]=>10101101=>6 [2,5,8,6,3,4,1,7]=>[7,4,1,3,6,5,8,2]=>[1,1,3,2,1]=>11100101=>4 [6,8,1,7,5,3,4,2]=>[3,1,8,2,4,6,5,7]=>[1,2,3,2]=>11010010=>5 [5,8,6,4,1,7,3,2]=>[4,1,3,5,8,2,6,7]=>[1,4,3]=>11000100=>3 [7,2,5,6,8,3,1,4]=>[2,7,4,3,1,6,8,5]=>[2,1,1,3,1]=>10111001=>4 [8,2,7,5,1,4,3,6]=>[1,7,2,4,8,5,6,3]=>[2,3,2,1]=>10100101=>6 [1,9,8,7,6,5,3,4,2]=>[9,1,2,3,4,5,7,6,8]=>[1,6,2]=>110000010=>3 [6,7,1,3,5,4,2,8]=>[3,2,8,6,4,5,7,1]=>[1,2,1,3,1]=>11011001=>4 [7,6,4,5,1,3,2,8]=>[2,3,5,4,8,6,7,1]=>[3,2,2,1]=>10010101=>6 [5,1,3,7,6,4,2,8]=>[4,8,6,2,3,5,7,1]=>[2,1,4,1]=>10110001=>4 [7,6,4,1,3,5,2,8]=>[2,3,5,8,6,4,7,1]=>[4,1,2,1]=>10001101=>4 [5,2,7,6,4,3,1,8]=>[4,7,2,3,5,6,8,1]=>[2,5,1]=>10100001=>4 [1,7,6,4,3,5,2,8]=>[8,2,3,5,6,4,7,1]=>[1,4,2,1]=>11000101=>4 [2,3,5,1,6,8,7,4]=>[7,6,4,8,3,1,2,5]=>[1,1,2,1,3]=>11101100=>3 [2,5,6,8,4,7,1,3]=>[7,4,3,1,5,2,8,6]=>[1,1,1,2,2,1]=>11110101=>4 [2,8,3,7,6,5,1,4]=>[7,1,6,2,3,4,8,5]=>[1,2,4,1]=>11010001=>4 [2,5,8,1,6,3,7,4]=>[7,4,1,8,3,6,2,5]=>[1,1,2,2,2]=>11101010=>5 [4,7,8,6,1,3,5,2]=>[5,2,1,3,8,6,4,7]=>[1,1,3,1,2]=>11100110=>3 [8,7,5,1,3,6,4,2]=>[1,2,4,8,6,3,5,7]=>[4,1,3]=>10001100=>3 [8,4,3,6,7,1,5,2]=>[1,5,6,3,2,8,4,7]=>[3,1,2,2]=>10011010=>5 [8,4,6,7,2,1,5,3]=>[1,5,3,2,7,8,4,6]=>[2,1,3,2]=>10110010=>5 [1,4,8,5,3,7,6,2]=>[8,5,1,4,6,2,3,7]=>[1,1,3,3]=>11100100=>3 [9,7,6,8,5,4,3,2,1]=>[1,3,4,2,5,6,7,8,9]=>[3,6]=>100100000=>3 [5,3,4,2,7,8,6,1]=>[4,6,5,7,2,1,3,8]=>[2,2,1,3]=>10101100=>5 [7,6,2,4,3,8,5,1]=>[2,3,7,5,6,1,4,8]=>[3,2,3]=>10010100=>5 [7,8,6,5,3,1,4,2]=>[2,1,3,4,6,8,5,7]=>[1,5,2]=>11000010=>3 [8,2,4,1,5,3,6,7]=>[1,7,5,8,4,6,3,2]=>[2,2,2,1,1]=>10101011=>6 [3,7,2,8,1,6,5,4]=>[6,2,7,1,8,3,4,5]=>[1,2,2,3]=>11010100=>5 [2,6,7,1,8,3,5,4]=>[7,3,2,8,1,6,4,5]=>[1,1,2,2,2]=>11101010=>5 [5,2,3,1,7,4,6,8]=>[4,7,6,8,2,5,3,1]=>[2,2,2,1,1]=>10101011=>6 [8,5,3,2,4,7,6,1]=>[1,4,6,7,5,2,3,8]=>[4,1,3]=>10001100=>3 [2,6,5,8,4,3,1,7]=>[7,3,4,1,5,6,8,2]=>[1,2,4,1]=>11010001=>4 [5,4,6,2,1,7,8,3]=>[4,5,3,7,8,2,1,6]=>[2,3,1,2]=>10100110=>5 [2,1,8,4,7,3,5,6]=>[7,8,1,5,2,6,4,3]=>[2,2,2,1,1]=>10101011=>6 [5,1,8,7,3,2,4,6]=>[4,8,1,2,6,7,5,3]=>[2,4,1,1]=>10100011=>4 [4,8,5,3,2,1,7,6]=>[5,1,4,6,7,8,2,3]=>[1,5,2]=>11000010=>3 [8,5,4,7,2,3,6,1]=>[1,4,5,2,7,6,3,8]=>[3,2,1,2]=>10010110=>5 [5,8,3,4,7,2,6,1]=>[4,1,6,5,2,7,3,8]=>[1,2,1,2,2]=>11011010=>5 [2,8,6,5,1,4,3,7]=>[7,1,3,4,8,5,6,2]=>[1,4,2,1]=>11000101=>4 [2,1,7,4,6,3,5,8]=>[7,8,2,5,3,6,4,1]=>[2,2,2,1,1]=>10101011=>6 [4,6,3,7,8,5,1,2]=>[5,3,6,2,1,4,8,7]=>[1,2,1,3,1]=>11011001=>4 [3,6,4,5,7,8,2,1]=>[6,3,5,4,2,1,7,8]=>[1,2,1,1,3]=>11011100=>3 [2,1,7,5,4,3,6,8]=>[7,8,2,4,5,6,3,1]=>[2,4,1,1]=>10100011=>4 [4,6,8,7,3,2,5,1]=>[5,3,1,2,6,7,4,8]=>[1,1,4,2]=>11100010=>3 [6,1,2,8,4,7,3,5]=>[3,8,7,1,5,2,6,4]=>[2,1,2,2,1]=>10110101=>6 [9,1,2,8,7,6,5,4,3]=>[1,9,8,2,3,4,5,6,7]=>[2,1,6]=>101100000=>3 [5,1,4,6,7,8,3,2]=>[4,8,5,3,2,1,6,7]=>[2,1,1,1,3]=>10111100=>3 [7,6,2,4,1,5,3,8]=>[2,3,7,5,8,4,6,1]=>[3,2,2,1]=>10010101=>6 [1,8,2,7,6,5,3,4]=>[8,1,7,2,3,4,6,5]=>[1,2,4,1]=>11010001=>4 [1,7,8,4,2,5,3,6]=>[8,2,1,5,7,4,6,3]=>[1,1,3,2,1]=>11100101=>4 [2,9,8,7,5,4,3,6,1]=>[8,1,2,3,5,6,7,4,9]=>[1,6,2]=>110000010=>3 [2,8,7,5,4,3,6,1]=>[7,1,2,4,5,6,3,8]=>[1,5,2]=>11000010=>3 [7,6,2,5,4,8,3,1]=>[2,3,7,4,5,1,6,8]=>[3,2,3]=>10010100=>5 [7,1,3,6,2,4,5,8]=>[2,8,6,3,7,5,4,1]=>[2,1,2,1,1,1]=>10110111=>4 [6,1,2,7,5,3,4,8]=>[3,8,7,2,4,6,5,1]=>[2,1,3,1,1]=>10110011=>4 [7,1,6,4,5,3,2,8]=>[2,8,3,5,4,6,7,1]=>[2,2,3,1]=>10101001=>6 [5,6,1,8,3,4,2,7]=>[4,3,8,1,6,5,7,2]=>[1,2,2,2,1]=>11010101=>6 [7,8,3,2,6,5,1,4]=>[2,1,6,7,3,4,8,5]=>[1,3,3,1]=>11001001=>4 [4,7,2,3,1,6,5,8]=>[5,2,7,6,8,3,4,1]=>[1,2,2,2,1]=>11010101=>6 [8,9,2,7,6,5,4,3,1]=>[2,1,8,3,4,5,6,7,9]=>[1,2,6]=>110100000=>3 [4,9,8,7,6,5,2,3,1]=>[6,1,2,3,4,5,8,7,9]=>[1,6,2]=>110000010=>3 [8,9,6,1,5,4,3,2,7]=>[2,1,4,9,5,6,7,8,3]=>[1,3,4,1]=>110010001=>4 [4,5,7,6,1,3,2,8]=>[5,4,2,3,8,6,7,1]=>[1,1,3,2,1]=>11100101=>4 [3,1,7,4,6,5,8,2]=>[6,8,2,5,3,4,1,7]=>[2,2,2,2]=>10101010=>7 [8,7,4,1,3,5,2,6]=>[1,2,5,8,6,4,7,3]=>[4,1,2,1]=>10001101=>4 [1,2,7,3,5,6,8,4]=>[8,7,2,6,4,3,1,5]=>[1,1,2,1,1,2]=>11101110=>3 [7,4,2,6,5,1,8,3]=>[2,5,7,3,4,8,1,6]=>[3,3,2]=>10010010=>5 [7,8,2,1,6,4,5,3]=>[2,1,7,8,3,5,4,6]=>[1,3,2,2]=>11001010=>5 [1,6,5,4,8,3,7,2]=>[8,3,4,5,1,6,2,7]=>[1,3,2,2]=>11001010=>5 [2,5,8,6,1,3,7,4]=>[7,4,1,3,8,6,2,5]=>[1,1,3,1,2]=>11100110=>3 [4,1,7,6,5,2,3,8]=>[5,8,2,3,4,7,6,1]=>[2,4,1,1]=>10100011=>4 [8,5,6,1,3,4,7,2]=>[1,4,3,8,6,5,2,7]=>[2,2,1,1,2]=>10101110=>5 [8,7,6,2,4,1,5,3]=>[1,2,3,7,5,8,4,6]=>[4,2,2]=>10001010=>5 [5,4,8,3,1,6,2,7]=>[4,5,1,6,8,3,7,2]=>[2,3,2,1]=>10100101=>6 [5,3,8,2,1,6,7,4]=>[4,6,1,7,8,3,2,5]=>[2,3,1,2]=>10100110=>5 [4,3,7,2,1,6,8,5]=>[5,6,2,7,8,3,1,4]=>[2,3,1,2]=>10100110=>5 [1,4,8,5,6,3,7,2]=>[8,5,1,4,3,6,2,7]=>[1,1,2,2,2]=>11101010=>5 [5,7,4,3,2,1,6,8]=>[4,2,5,6,7,8,3,1]=>[1,5,1,1]=>11000011=>2 [1,7,8,3,2,6,4,5]=>[8,2,1,6,7,3,5,4]=>[1,1,3,2,1]=>11100101=>4 [1,3,6,7,4,5,2,8]=>[8,6,3,2,5,4,7,1]=>[1,1,1,2,2,1]=>11110101=>4 [3,8,6,4,1,2,7,5]=>[6,1,3,5,8,7,2,4]=>[1,4,1,2]=>11000110=>3 [4,2,3,8,7,5,6,1]=>[5,7,6,1,2,4,3,8]=>[2,1,3,2]=>10110010=>5 [4,5,8,7,1,3,6,2]=>[5,4,1,2,8,6,3,7]=>[1,1,3,1,2]=>11100110=>3 [3,2,4,8,7,5,1,6]=>[6,7,5,1,2,4,8,3]=>[2,1,4,1]=>10110001=>4 [5,2,4,1,7,3,6,8]=>[4,7,5,8,2,6,3,1]=>[2,2,2,1,1]=>10101011=>6 [5,6,4,8,1,3,7,2]=>[4,3,5,1,8,6,2,7]=>[1,2,2,1,2]=>11010110=>5 [3,7,4,1,5,2,6,8]=>[6,2,5,8,4,7,3,1]=>[1,3,2,1,1]=>11001011=>4 [6,3,4,2,5,8,1,7]=>[3,6,5,7,4,1,8,2]=>[2,2,1,2,1]=>10101101=>6 [8,5,1,7,3,2,6,4]=>[1,4,8,2,6,7,3,5]=>[3,3,2]=>10010010=>5 [7,6,2,1,5,3,8,4]=>[2,3,7,8,4,6,1,5]=>[4,2,2]=>10001010=>5 [5,6,1,8,3,2,7,4]=>[4,3,8,1,6,7,2,5]=>[1,2,3,2]=>11010010=>5 [7,2,4,6,1,5,3,8]=>[2,7,5,3,8,4,6,1]=>[2,1,2,2,1]=>10110101=>6 [2,3,6,8,5,4,1,7]=>[7,6,3,1,4,5,8,2]=>[1,1,1,4,1]=>11110001=>2 [7,4,2,3,6,1,5,8]=>[2,5,7,6,3,8,4,1]=>[3,1,2,1,1]=>10011011=>4 [1,6,4,5,2,3,8,7]=>[8,3,5,4,7,6,1,2]=>[1,2,2,1,2]=>11010110=>5 [5,7,6,2,3,4,8,1]=>[4,2,3,7,6,5,1,8]=>[1,3,1,1,2]=>11001110=>3 [6,2,4,7,8,5,1,3]=>[3,7,5,2,1,4,8,6]=>[2,1,1,3,1]=>10111001=>4 [2,7,8,4,6,1,5,3]=>[7,2,1,5,3,8,4,6]=>[1,1,2,2,2]=>11101010=>5 [7,5,2,6,4,8,3,1]=>[2,4,7,3,5,1,6,8]=>[3,2,3]=>10010100=>5 [7,8,6,2,4,3,1,5]=>[2,1,3,7,5,6,8,4]=>[1,3,3,1]=>11001001=>4 [7,8,6,5,2,4,1,3]=>[2,1,3,4,7,5,8,6]=>[1,4,2,1]=>11000101=>4 [7,3,4,5,1,6,2,8]=>[2,6,5,4,8,3,7,1]=>[2,1,2,2,1]=>10110101=>6 [5,7,1,8,4,2,3,6]=>[4,2,8,1,5,7,6,3]=>[1,2,3,1,1]=>11010011=>4 [1,3,7,2,4,6,8,5]=>[8,6,2,7,5,3,1,4]=>[1,1,2,1,1,2]=>11101110=>3 [4,1,3,6,8,7,2,5]=>[5,8,6,3,1,2,7,4]=>[2,1,1,3,1]=>10111001=>4 [6,4,8,7,1,3,5,2]=>[3,5,1,2,8,6,4,7]=>[2,3,1,2]=>10100110=>5 [1,8,7,4,6,5,2,3]=>[8,1,2,5,3,4,7,6]=>[1,3,3,1]=>11001001=>4 [2,8,6,7,3,4,1,5]=>[7,1,3,2,6,5,8,4]=>[1,2,2,2,1]=>11010101=>6 [3,8,4,6,2,5,1,7]=>[6,1,5,3,7,4,8,2]=>[1,2,2,2,1]=>11010101=>6 [8,2,5,7,4,6,3,1]=>[1,7,4,2,5,3,6,8]=>[2,1,2,3]=>10110100=>5 [6,1,4,7,3,5,2,8]=>[3,8,5,2,6,4,7,1]=>[2,1,2,2,1]=>10110101=>6 [7,1,6,8,3,5,2,4]=>[2,8,3,1,6,4,7,5]=>[2,1,2,2,1]=>10110101=>6 [1,8,7,2,4,6,5,3]=>[8,1,2,7,5,3,4,6]=>[1,3,1,3]=>11001100=>3 [8,1,6,5,4,7,3,2]=>[1,8,3,4,5,2,6,7]=>[2,3,3]=>10100100=>5 [8,5,7,2,3,4,1,6]=>[1,4,2,7,6,5,8,3]=>[2,2,1,2,1]=>10101101=>6 [8,5,7,2,3,4,6,1]=>[1,4,2,7,6,5,3,8]=>[2,2,1,1,2]=>10101110=>5 [4,6,1,5,7,8,3,2]=>[5,3,8,4,2,1,6,7]=>[1,2,1,1,3]=>11011100=>3 [5,3,4,8,6,2,1,7]=>[4,6,5,1,3,7,8,2]=>[2,1,4,1]=>10110001=>4 [4,1,7,3,5,6,2,8]=>[5,8,2,6,4,3,7,1]=>[2,2,1,2,1]=>10101101=>6 [2,6,3,7,1,5,8,4]=>[7,3,6,2,8,4,1,5]=>[1,2,2,1,2]=>11010110=>5 [6,3,4,8,2,5,1,7]=>[3,6,5,1,7,4,8,2]=>[2,1,2,2,1]=>10110101=>6 [6,1,7,5,4,2,3,8]=>[3,8,2,4,5,7,6,1]=>[2,4,1,1]=>10100011=>4 [9,1,2,4,5,6,7,8,3]=>[1,9,8,6,5,4,3,2,7]=>[2,1,1,1,1,1,2]=>101111110=>3 [9,1,2,3,5,6,7,8,4]=>[1,9,8,7,5,4,3,2,6]=>[2,1,1,1,1,1,2]=>101111110=>3 [5,6,1,4,7,8,2,3]=>[4,3,8,5,2,1,7,6]=>[1,2,1,1,2,1]=>11011101=>4 [7,5,4,8,6,2,3,1]=>[2,4,5,1,3,7,6,8]=>[3,3,2]=>10010010=>5 [6,8,2,5,4,3,7,1]=>[3,1,7,4,5,6,2,8]=>[1,2,3,2]=>11010010=>5 [2,5,6,8,3,7,1,4]=>[7,4,3,1,6,2,8,5]=>[1,1,1,2,2,1]=>11110101=>4 [6,7,5,4,1,3,8,2]=>[3,2,4,5,8,6,1,7]=>[1,4,1,2]=>11000110=>3 [4,2,7,8,3,1,5,6]=>[5,7,2,1,6,8,4,3]=>[2,1,3,1,1]=>10110011=>4 [2,8,7,6,5,4,1,9,3]=>[8,2,3,4,5,6,9,1,7]=>[1,6,2]=>110000010=>3 [1,8,3,4,5,6,7,2,9]=>[9,2,7,6,5,4,3,8,1]=>[1,2,1,1,1,2,1]=>110111101=>4 [4,6,2,8,7,3,1,5]=>[5,3,7,1,2,6,8,4]=>[1,2,4,1]=>11010001=>4 [8,2,6,5,4,1,7,3]=>[1,7,3,4,5,8,2,6]=>[2,4,2]=>10100010=>5 [3,4,8,2,6,5,1,7]=>[6,5,1,7,3,4,8,2]=>[1,1,2,3,1]=>11101001=>4 [7,4,6,5,3,1,8,2]=>[2,5,3,4,6,8,1,7]=>[2,4,2]=>10100010=>5 [6,1,8,3,5,7,4,2]=>[3,8,1,6,4,2,5,7]=>[2,2,1,3]=>10101100=>5 [3,2,8,4,1,6,7,5]=>[6,7,1,5,8,3,2,4]=>[2,3,1,2]=>10100110=>5 [8,2,1,3,7,5,6,4]=>[1,7,8,6,2,4,3,5]=>[3,1,2,2]=>10011010=>5 [8,3,7,2,1,6,4,5]=>[1,6,2,7,8,3,5,4]=>[2,3,2,1]=>10100101=>6 [4,5,3,1,6,7,2,8]=>[5,4,6,8,3,2,7,1]=>[1,3,1,2,1]=>11001101=>4 [4,8,2,7,3,1,5,6]=>[5,1,7,2,6,8,4,3]=>[1,2,3,1,1]=>11010011=>4 [6,1,4,3,5,7,2,8]=>[3,8,5,6,4,2,7,1]=>[2,2,1,2,1]=>10101101=>6 [3,5,7,6,4,1,2,8]=>[6,4,2,3,5,8,7,1]=>[1,1,4,1,1]=>11100011=>2 [7,4,6,5,2,1,3,8]=>[2,5,3,4,7,8,6,1]=>[2,4,1,1]=>10100011=>4 [4,8,5,6,1,3,2,7]=>[5,1,4,3,8,6,7,2]=>[1,2,2,2,1]=>11010101=>6 [2,8,4,7,5,1,6,3]=>[7,1,5,2,4,8,3,6]=>[1,2,3,2]=>11010010=>5 [8,6,7,2,4,3,1,5]=>[1,3,2,7,5,6,8,4]=>[2,2,3,1]=>10101001=>6 [4,8,6,1,2,7,3,5]=>[5,1,3,8,7,2,6,4]=>[1,3,1,2,1]=>11001101=>4 [6,3,1,8,5,4,2,7]=>[3,6,8,1,4,5,7,2]=>[3,4,1]=>10010001=>4 [7,5,4,8,2,3,1,6]=>[2,4,5,1,7,6,8,3]=>[3,2,2,1]=>10010101=>6 [4,6,8,1,2,3,7,5]=>[5,3,1,8,7,6,2,4]=>[1,1,2,1,1,2]=>11101110=>3 [4,5,3,8,7,1,6,2]=>[5,4,6,1,2,8,3,7]=>[1,2,3,2]=>11010010=>5 [3,7,6,4,2,1,8,5]=>[6,2,3,5,7,8,1,4]=>[1,5,2]=>11000010=>3 [1,7,8,5,2,3,6,4]=>[8,2,1,4,7,6,3,5]=>[1,1,3,1,2]=>11100110=>3 [6,9,5,4,3,2,1,8,7]=>[4,1,5,6,7,8,9,2,3]=>[1,6,2]=>110000010=>3 [7,6,3,1,8,5,4,2]=>[2,3,6,8,1,4,5,7]=>[4,4]=>10001000=>3 [5,9,8,4,3,2,1,7,6]=>[5,1,2,6,7,8,9,3,4]=>[1,6,2]=>110000010=>3 [7,1,5,3,4,2,6,8]=>[2,8,4,6,5,7,3,1]=>[2,2,2,1,1]=>10101011=>6 [6,1,7,5,2,4,3,8]=>[3,8,2,4,7,5,6,1]=>[2,3,2,1]=>10100101=>6 [8,2,1,5,4,3,6,7]=>[1,7,8,4,5,6,3,2]=>[3,3,1,1]=>10010011=>4 [3,1,7,5,4,6,8,2]=>[6,8,2,4,5,3,1,7]=>[2,3,1,2]=>10100110=>5 [8,6,7,3,2,5,1,4]=>[1,3,2,6,7,4,8,5]=>[2,3,2,1]=>10100101=>6 [6,3,5,4,1,8,2,7]=>[3,6,4,5,8,1,7,2]=>[2,3,2,1]=>10100101=>6 [8,1,3,7,2,5,4,6]=>[1,8,6,2,7,4,5,3]=>[2,1,2,2,1]=>10110101=>6 [8,3,6,2,7,4,1,5]=>[1,6,3,7,2,5,8,4]=>[2,2,3,1]=>10101001=>6 [4,3,7,6,2,5,1,8]=>[5,6,2,3,7,4,8,1]=>[2,3,2,1]=>10100101=>6 [8,4,6,5,3,7,2,1]=>[1,5,3,4,6,2,7,8]=>[2,3,3]=>10100100=>5 [2,1,8,3,4,6,5,7]=>[7,8,1,6,5,3,4,2]=>[2,2,1,2,1]=>10101101=>6 [4,8,7,2,3,6,1,5]=>[5,1,2,7,6,3,8,4]=>[1,3,1,2,1]=>11001101=>4 [5,8,2,1,3,6,7,4]=>[4,1,7,8,6,3,2,5]=>[1,3,1,1,2]=>11001110=>3 [3,8,4,2,1,5,7,6]=>[6,1,5,7,8,4,2,3]=>[1,4,1,2]=>11000110=>3 [2,1,6,7,5,3,4,8]=>[7,8,3,2,4,6,5,1]=>[2,1,3,1,1]=>10110011=>4 [1,5,6,4,2,7,3,8]=>[8,4,3,5,7,2,6,1]=>[1,1,3,2,1]=>11100101=>4 [8,6,2,4,3,5,7,1]=>[1,3,7,5,6,4,2,8]=>[3,2,1,2]=>10010110=>5 [3,5,6,7,2,8,1,4]=>[6,4,3,2,7,1,8,5]=>[1,1,1,2,2,1]=>11110101=>4 [5,3,7,4,8,1,2,6]=>[4,6,2,5,1,8,7,3]=>[2,2,2,1,1]=>10101011=>6 [2,4,7,5,3,1,8,6]=>[7,5,2,4,6,8,1,3]=>[1,1,4,2]=>11100010=>3 [3,2,8,6,1,7,4,5]=>[6,7,1,3,8,2,5,4]=>[2,3,2,1]=>10100101=>6 [8,3,4,6,2,5,1,7]=>[1,6,5,3,7,4,8,2]=>[2,1,2,2,1]=>10110101=>6 [7,2,3,5,1,8,4,6]=>[2,7,6,4,8,1,5,3]=>[2,1,2,2,1]=>10110101=>6 [2,4,8,3,6,7,5,1]=>[7,5,1,6,3,2,4,8]=>[1,1,2,1,3]=>11101100=>3 [5,4,7,6,2,1,3,8]=>[4,5,2,3,7,8,6,1]=>[2,4,1,1]=>10100011=>4 [3,1,2,6,5,7,4,8]=>[6,8,7,3,4,2,5,1]=>[2,1,2,2,1]=>10110101=>6 [4,3,7,5,2,6,8,1]=>[5,6,2,4,7,3,1,8]=>[2,3,1,2]=>10100110=>5 [6,4,1,2,3,7,5,8]=>[3,5,8,7,6,2,4,1]=>[3,1,1,2,1]=>10011101=>4 [3,7,4,6,5,1,8,2]=>[6,2,5,3,4,8,1,7]=>[1,2,3,2]=>11010010=>5 [6,4,5,2,1,7,3,8]=>[3,5,4,7,8,2,6,1]=>[2,3,2,1]=>10100101=>6 [5,6,7,8,9,1,4,2,3]=>[5,4,3,2,1,9,6,8,7]=>[1,1,1,1,2,2,1]=>111110101=>4 [6,7,8,9,1,5,2,3,4]=>[4,3,2,1,9,5,8,7,6]=>[1,1,1,2,2,1,1]=>111101011=>4 [8,9,1,7,2,3,4,5,6]=>[2,1,9,3,8,7,6,5,4]=>[1,2,2,1,1,1,1]=>110101111=>4 [2,4,7,3,8,6,1,5]=>[7,5,2,6,1,3,8,4]=>[1,1,2,3,1]=>11101001=>4 [3,2,4,7,1,6,8,5]=>[6,7,5,2,8,3,1,4]=>[2,1,2,1,2]=>10110110=>5 [7,2,3,6,5,1,8,4]=>[2,7,6,3,4,8,1,5]=>[2,1,3,2]=>10110010=>5 [7,2,6,1,8,5,3,4]=>[2,7,3,8,1,4,6,5]=>[2,2,3,1]=>10101001=>6 [6,7,2,1,3,5,4,8]=>[3,2,7,8,6,4,5,1]=>[1,3,1,2,1]=>11001101=>4 [8,5,1,4,7,2,3,6]=>[1,4,8,5,2,7,6,3]=>[3,1,2,1,1]=>10011011=>4 [4,1,7,8,3,6,2,5]=>[5,8,2,1,6,3,7,4]=>[2,1,2,2,1]=>10110101=>6 [8,4,2,3,1,7,5,6]=>[1,5,7,6,8,2,4,3]=>[3,2,2,1]=>10010101=>6 [8,3,2,7,4,5,6,1]=>[1,6,7,2,5,4,3,8]=>[3,2,1,2]=>10010110=>5 [6,7,5,2,3,8,1,4]=>[3,2,4,7,6,1,8,5]=>[1,3,1,2,1]=>11001101=>4 [4,7,5,1,3,2,6,8]=>[5,2,4,8,6,7,3,1]=>[1,3,2,1,1]=>11001011=>4 [3,5,8,7,4,6,1,2]=>[6,4,1,2,5,3,8,7]=>[1,1,3,2,1]=>11100101=>4 [7,6,1,2,5,3,4,8]=>[2,3,8,7,4,6,5,1]=>[3,1,2,1,1]=>10011011=>4 [2,1,3,7,8,5,4,6]=>[7,8,6,2,1,4,5,3]=>[2,1,1,3,1]=>10111001=>4 [8,7,5,3,9,4,1,6,2]=>[2,3,5,7,1,6,9,4,8]=>[4,3,2]=>100010010=>5 [8,7,5,3,1,9,6,4,2]=>[2,3,5,7,9,1,4,6,8]=>[5,4]=>100001000=>3 [8,4,5,7,1,6,2,3]=>[1,5,4,2,8,3,7,6]=>[2,1,2,2,1]=>10110101=>6 [1,8,7,3,4,6,2,5]=>[8,1,2,6,5,3,7,4]=>[1,3,1,2,1]=>11001101=>4 [2,7,8,1,6,3,5,4]=>[7,2,1,8,3,6,4,5]=>[1,1,2,2,2]=>11101010=>5 [8,5,6,4,2,7,3,1]=>[1,4,3,5,7,2,6,8]=>[2,3,3]=>10100100=>5 [2,8,4,7,5,3,6,1]=>[7,1,5,2,4,6,3,8]=>[1,2,3,2]=>11010010=>5 [6,5,1,3,2,4,8,7]=>[3,4,8,6,7,5,1,2]=>[3,2,1,2]=>10010110=>5 [4,8,5,7,3,6,2,1]=>[5,1,4,2,6,3,7,8]=>[1,2,2,3]=>11010100=>5 [2,1,7,6,4,3,5,8]=>[7,8,2,3,5,6,4,1]=>[2,4,1,1]=>10100011=>4 [2,8,6,5,3,4,7,1]=>[7,1,3,4,6,5,2,8]=>[1,4,1,2]=>11000110=>3 [1,6,3,5,8,7,2,4]=>[8,3,6,4,1,2,7,5]=>[1,2,1,3,1]=>11011001=>4 [1,3,6,4,7,8,5,2]=>[8,6,3,5,2,1,4,7]=>[1,1,2,1,3]=>11101100=>3 [6,8,3,2,5,4,1,7]=>[3,1,6,7,4,5,8,2]=>[1,3,3,1]=>11001001=>4 [1,8,7,6,2,5,3,4]=>[8,1,2,3,7,4,6,5]=>[1,4,2,1]=>11000101=>4 [2,5,7,1,4,8,3,6]=>[7,4,2,8,5,1,6,3]=>[1,1,2,1,2,1]=>11101101=>4 [4,1,2,7,6,5,3,8]=>[5,8,7,2,3,4,6,1]=>[2,1,4,1]=>10110001=>4 [8,3,7,5,2,4,1,6]=>[1,6,2,4,7,5,8,3]=>[2,3,2,1]=>10100101=>6 [6,3,8,5,1,7,2,4]=>[3,6,1,4,8,2,7,5]=>[2,3,2,1]=>10100101=>6 [5,6,2,3,7,8,4,1]=>[4,3,7,6,2,1,5,8]=>[1,2,1,1,3]=>11011100=>3 [5,8,3,7,2,4,6,1]=>[4,1,6,2,7,5,3,8]=>[1,2,2,1,2]=>11010110=>5 [3,7,2,5,6,8,4,1]=>[6,2,7,4,3,1,5,8]=>[1,2,1,1,3]=>11011100=>3 [8,3,5,2,1,7,6,4]=>[1,6,4,7,8,2,3,5]=>[2,3,3]=>10100100=>5 [8,7,2,5,4,6,3,1]=>[1,2,7,4,5,3,6,8]=>[3,2,3]=>10010100=>5 [5,3,7,4,2,1,8,6]=>[4,6,2,5,7,8,1,3]=>[2,4,2]=>10100010=>5 [6,3,7,1,4,5,8,2]=>[3,6,2,8,5,4,1,7]=>[2,2,1,1,2]=>10101110=>5 [1,2,3,5,6,4,7,8,9]=>[9,8,7,5,4,6,3,2,1]=>[1,1,1,1,2,1,1,1]=>111110111=>2 [5,7,1,3,6,4,2,8]=>[4,2,8,6,3,5,7,1]=>[1,2,1,3,1]=>11011001=>4 [5,9,8,7,6,3,4,2,1]=>[5,1,2,3,4,7,6,8,9]=>[1,5,3]=>110000100=>3 [6,9,8,7,4,5,2,3,1]=>[4,1,2,3,6,5,8,7,9]=>[1,4,2,2]=>110001010=>5 [4,7,8,5,1,2,3,6]=>[5,2,1,4,8,7,6,3]=>[1,1,3,1,1,1]=>11100111=>2 [7,4,3,6,5,1,8,2]=>[2,5,6,3,4,8,1,7]=>[3,3,2]=>10010010=>5 [8,6,1,5,3,4,2,7]=>[1,3,8,4,6,5,7,2]=>[3,2,2,1]=>10010101=>6 [7,1,4,6,8,5,2,3]=>[2,8,5,3,1,4,7,6]=>[2,1,1,3,1]=>10111001=>4 [7,1,2,5,3,6,4,8]=>[2,8,7,4,6,3,5,1]=>[2,1,2,2,1]=>10110101=>6 [8,3,1,5,7,4,2,6]=>[1,6,8,4,2,5,7,3]=>[3,1,3,1]=>10011001=>4 [7,1,8,3,6,2,4,5]=>[2,8,1,6,3,7,5,4]=>[2,2,2,1,1]=>10101011=>6 [5,1,7,4,3,2,8,6]=>[4,8,2,5,6,7,1,3]=>[2,4,2]=>10100010=>5 [4,7,8,6,2,5,3,1]=>[5,2,1,3,7,4,6,8]=>[1,1,3,3]=>11100100=>3 [8,1,5,3,7,6,4,2]=>[1,8,4,6,2,3,5,7]=>[2,2,4]=>10101000=>5 [4,5,6,2,3,8,7,1]=>[5,4,3,7,6,1,2,8]=>[1,1,2,1,3]=>11101100=>3 [6,5,1,4,8,7,2,3]=>[3,4,8,5,1,2,7,6]=>[3,1,3,1]=>10011001=>4 [4,5,2,1,8,6,3,7]=>[5,4,7,8,1,3,6,2]=>[1,3,3,1]=>11001001=>4 [8,9,1,6,5,4,3,2,7]=>[2,1,9,4,5,6,7,8,3]=>[1,2,5,1]=>110100001=>4 [6,8,3,5,7,4,1,2]=>[3,1,6,4,2,5,8,7]=>[1,2,1,3,1]=>11011001=>4 [4,1,3,7,8,5,6,2]=>[5,8,6,2,1,4,3,7]=>[2,1,1,2,2]=>10111010=>5 [7,5,2,4,6,3,8,1]=>[2,4,7,5,3,6,1,8]=>[3,1,2,2]=>10011010=>5 [7,4,2,3,6,5,8,1]=>[2,5,7,6,3,4,1,8]=>[3,1,2,2]=>10011010=>5 [7,1,6,3,2,8,5,4]=>[2,8,3,6,7,1,4,5]=>[2,3,3]=>10100100=>5 [8,5,3,1,2,7,6,4]=>[1,4,6,8,7,2,3,5]=>[4,1,3]=>10001100=>3 [3,4,1,7,6,2,5,8]=>[6,5,8,2,3,7,4,1]=>[1,2,3,1,1]=>11010011=>4 [8,4,5,2,6,7,3,1]=>[1,5,4,7,3,2,6,8]=>[2,2,1,3]=>10101100=>5 [8,3,5,1,4,2,6,7]=>[1,6,4,8,5,7,3,2]=>[2,2,2,1,1]=>10101011=>6 [1,7,4,2,3,6,5,8]=>[8,2,5,7,6,3,4,1]=>[1,3,1,2,1]=>11001101=>4 [7,8,4,2,3,6,5,1]=>[2,1,5,7,6,3,4,8]=>[1,3,1,3]=>11001100=>3 [7,1,6,5,8,2,3,4]=>[2,8,3,4,1,7,6,5]=>[2,2,2,1,1]=>10101011=>6 [8,3,1,2,7,5,6,4]=>[1,6,8,7,2,4,3,5]=>[3,1,2,2]=>10011010=>5 [1,7,4,3,8,6,5,2]=>[8,2,5,6,1,3,4,7]=>[1,3,4]=>11001000=>3 [3,7,5,4,1,6,2,8]=>[6,2,4,5,8,3,7,1]=>[1,4,2,1]=>11000101=>4 [7,4,2,6,5,8,3,1]=>[2,5,7,3,4,1,6,8]=>[3,2,3]=>10010100=>5 [7,2,4,6,8,3,5,1]=>[2,7,5,3,1,6,4,8]=>[2,1,1,2,2]=>10111010=>5 [7,2,4,3,6,8,5,1]=>[2,7,5,6,3,1,4,8]=>[2,2,1,3]=>10101100=>5 [6,8,4,5,3,1,2,7]=>[3,1,5,4,6,8,7,2]=>[1,2,3,1,1]=>11010011=>4 [4,8,1,5,3,2,6,7]=>[5,1,8,4,6,7,3,2]=>[1,2,3,1,1]=>11010011=>4 [2,5,8,7,4,3,1,6]=>[7,4,1,2,5,6,8,3]=>[1,1,5,1]=>11100001=>2 [7,8,3,6,4,5,2,1]=>[2,1,6,3,5,4,7,8]=>[1,2,2,3]=>11010100=>5 [6,5,4,3,2,9,1,8,7]=>[4,5,6,7,8,1,9,2,3]=>[5,2,2]=>100001010=>5 [9,8,6,7,4,5,2,3,1]=>[1,2,4,3,6,5,8,7,9]=>[3,2,2,2]=>100101010=>7 [9,8,4,7,3,6,2,5,1]=>[1,2,6,3,7,4,8,5,9]=>[3,2,2,2]=>100101010=>7 [1,8,6,5,3,4,7,2]=>[8,1,3,4,6,5,2,7]=>[1,4,1,2]=>11000110=>3 [9,8,7,1,6,2,3,4,5]=>[1,2,3,9,4,8,7,6,5]=>[4,2,1,1,1]=>100010111=>4 [9,8,7,6,1,5,2,3,4]=>[1,2,3,4,9,5,8,7,6]=>[5,2,1,1]=>100001011=>4 [6,1,8,7,3,5,4,2]=>[3,8,1,2,6,4,5,7]=>[2,3,3]=>10100100=>5 [5,7,2,6,4,3,8,1]=>[4,2,7,3,5,6,1,8]=>[1,2,3,2]=>11010010=>5 [1,6,4,7,5,2,8,3]=>[8,3,5,2,4,7,1,6]=>[1,2,3,2]=>11010010=>5 [6,5,1,8,3,4,2,7]=>[3,4,8,1,6,5,7,2]=>[3,2,2,1]=>10010101=>6 [6,1,4,5,3,7,2,8]=>[3,8,5,4,6,2,7,1]=>[2,1,2,2,1]=>10110101=>6 [7,5,6,1,4,2,8,3]=>[2,4,3,8,5,7,1,6]=>[2,2,2,2]=>10101010=>7 [3,2,1,8,7,6,5,4,9]=>[7,8,9,2,3,4,5,6,1]=>[3,5,1]=>100100001=>4 [4,3,2,1,8,7,6,9,5]=>[6,7,8,9,2,3,4,1,5]=>[4,3,2]=>100010010=>5 [7,5,4,3,2,1,9,6,8]=>[3,5,6,7,8,9,1,4,2]=>[6,2,1]=>100000101=>4 [7,8,3,6,5,2,4,1]=>[2,1,6,3,4,7,5,8]=>[1,2,3,2]=>11010010=>5 [7,3,6,8,2,5,4,1]=>[2,6,3,1,7,4,5,8]=>[2,1,2,3]=>10110100=>5 [1,7,5,2,6,4,3,8]=>[8,2,4,7,3,5,6,1]=>[1,3,3,1]=>11001001=>4 [6,4,5,2,7,3,1,8]=>[3,5,4,7,2,6,8,1]=>[2,2,3,1]=>10101001=>6 [8,4,5,6,1,2,7,3]=>[1,5,4,3,8,7,2,6]=>[2,1,2,1,2]=>10110110=>5 [4,8,3,5,1,6,7,2]=>[5,1,6,4,8,3,2,7]=>[1,2,2,1,2]=>11010110=>5 [7,6,4,5,1,8,3,2]=>[2,3,5,4,8,1,6,7]=>[3,2,3]=>10010100=>5 [8,2,5,1,6,4,7,3]=>[1,7,4,8,3,5,2,6]=>[2,2,2,2]=>10101010=>7 [8,4,5,7,2,3,6,1]=>[1,5,4,2,7,6,3,8]=>[2,1,2,1,2]=>10110110=>5 [8,2,6,5,1,7,3,4]=>[1,7,3,4,8,2,6,5]=>[2,3,2,1]=>10100101=>6 [5,2,7,1,4,8,6,3]=>[4,7,2,8,5,1,3,6]=>[2,2,1,3]=>10101100=>5 [8,2,4,5,1,7,6,3]=>[1,7,5,4,8,2,3,6]=>[2,1,2,3]=>10110100=>5 [2,5,6,8,4,1,3,7]=>[7,4,3,1,5,8,6,2]=>[1,1,1,3,1,1]=>11110011=>2 [8,9,6,1,7,5,4,3,2]=>[2,1,4,9,3,5,6,7,8]=>[1,3,5]=>110010000=>3 [8,4,5,1,7,6,3,2]=>[1,5,4,8,2,3,6,7]=>[2,2,4]=>10101000=>5 [4,7,6,1,3,5,2,8]=>[5,2,3,8,6,4,7,1]=>[1,3,1,2,1]=>11001101=>4 [8,4,6,3,2,5,1,7]=>[1,5,3,6,7,4,8,2]=>[2,3,2,1]=>10100101=>6 [3,7,8,1,6,4,5,2]=>[6,2,1,8,3,5,4,7]=>[1,1,2,2,2]=>11101010=>5 [8,4,3,7,2,5,1,6]=>[1,5,6,2,7,4,8,3]=>[3,2,2,1]=>10010101=>6 [8,9,6,7,4,1,2,3,5]=>[2,1,4,3,6,9,8,7,5]=>[1,2,3,1,1,1]=>110100111=>4 [5,4,7,2,3,6,1,8]=>[4,5,2,7,6,3,8,1]=>[2,2,1,2,1]=>10101101=>6 [8,2,4,3,1,5,7,6]=>[1,7,5,6,8,4,2,3]=>[2,3,1,2]=>10100110=>5 [8,1,7,4,5,3,6,2]=>[1,8,2,5,4,6,3,7]=>[2,2,2,2]=>10101010=>7 [8,2,4,5,7,6,1,3]=>[1,7,5,4,2,3,8,6]=>[2,1,1,3,1]=>10111001=>4 [1,5,3,6,2,4,8,7]=>[8,4,6,3,7,5,1,2]=>[1,2,2,1,2]=>11010110=>5 [8,1,3,7,6,5,2,4]=>[1,8,6,2,3,4,7,5]=>[2,1,4,1]=>10110001=>4 [8,5,7,3,2,4,1,6]=>[1,4,2,6,7,5,8,3]=>[2,3,2,1]=>10100101=>6 [4,6,8,7,2,1,3,5]=>[5,3,1,2,7,8,6,4]=>[1,1,4,1,1]=>11100011=>2 [5,3,4,6,1,8,7,2]=>[4,6,5,3,8,1,2,7]=>[2,1,2,3]=>10110100=>5 [3,1,5,4,8,6,7,2]=>[6,8,4,5,1,3,2,7]=>[2,2,2,2]=>10101010=>7 [1,7,3,6,5,8,4,2]=>[8,2,6,3,4,1,5,7]=>[1,2,2,3]=>11010100=>5 [6,8,1,2,5,3,4,7]=>[3,1,8,7,4,6,5,2]=>[1,2,1,2,1,1]=>11011011=>4 [6,7,1,3,4,5,2,8]=>[3,2,8,6,5,4,7,1]=>[1,2,1,1,2,1]=>11011101=>4 [1,8,3,4,6,5,2,7]=>[8,1,6,5,3,4,7,2]=>[1,2,1,3,1]=>11011001=>4 [6,2,3,8,1,7,5,4]=>[3,7,6,1,8,2,4,5]=>[2,1,2,3]=>10110100=>5 [4,5,8,2,7,6,1,3]=>[5,4,1,7,2,3,8,6]=>[1,1,2,3,1]=>11101001=>4 [4,3,5,8,7,1,6,2]=>[5,6,4,1,2,8,3,7]=>[2,1,3,2]=>10110010=>5 [2,1,4,3,9,5,6,7,8]=>[8,9,6,7,1,5,4,3,2]=>[2,2,2,1,1,1]=>101010111=>6 [1,5,2,3,4,9,6,7,8]=>[9,5,8,7,6,1,4,3,2]=>[1,2,1,1,2,1,1]=>110111011=>4 [2,1,5,3,4,9,6,7,8]=>[8,9,5,7,6,1,4,3,2]=>[2,2,1,2,1,1]=>101011011=>6 [1,2,5,3,4,9,6,7,8]=>[9,8,5,7,6,1,4,3,2]=>[1,1,2,1,2,1,1]=>111011011=>4 [1,3,2,5,4,9,6,7,8]=>[9,7,8,5,6,1,4,3,2]=>[1,2,2,2,1,1]=>110101011=>6 [1,2,3,5,4,9,6,7,8]=>[9,8,7,5,6,1,4,3,2]=>[1,1,1,2,2,1,1]=>111101011=>4 [1,3,2,6,4,5,9,7,8]=>[9,7,8,4,6,5,1,3,2]=>[1,2,2,1,2,1]=>110101101=>6 [1,2,3,6,4,5,9,7,8]=>[9,8,7,4,6,5,1,3,2]=>[1,1,1,2,1,2,1]=>111101101=>4 [1,2,4,3,6,5,9,7,8]=>[9,8,6,7,4,5,1,3,2]=>[1,1,2,2,2,1]=>111010101=>6 [1,2,3,4,6,5,9,7,8]=>[9,8,7,6,4,5,1,3,2]=>[1,1,1,1,2,2,1]=>111110101=>4 [8,2,7,4,3,6,5,1]=>[1,7,2,5,6,3,4,8]=>[2,3,3]=>10100100=>5 [1,5,3,6,4,7,8,2]=>[8,4,6,3,5,2,1,7]=>[1,2,2,1,2]=>11010110=>5 [6,7,5,2,4,3,8,1]=>[3,2,4,7,5,6,1,8]=>[1,3,2,2]=>11001010=>5 [3,8,4,7,1,2,6,5]=>[6,1,5,2,8,7,3,4]=>[1,2,2,1,2]=>11010110=>5 [5,4,8,6,7,2,1,3]=>[4,5,1,3,2,7,8,6]=>[2,2,3,1]=>10101001=>6 [7,4,3,8,5,1,2,6]=>[2,5,6,1,4,8,7,3]=>[3,3,1,1]=>10010011=>4 [8,7,6,5,4,1,3,9,2]=>[2,3,4,5,6,9,7,1,8]=>[6,1,2]=>100000110=>3 [5,3,2,8,7,4,6,1]=>[4,6,7,1,2,5,3,8]=>[3,3,2]=>10010010=>5 [4,1,8,3,7,6,2,5]=>[5,8,1,6,2,3,7,4]=>[2,2,3,1]=>10101001=>6 [7,3,1,2,6,5,4,8]=>[2,6,8,7,3,4,5,1]=>[3,1,3,1]=>10011001=>4 [5,2,4,1,6,3,7,8]=>[4,7,5,8,3,6,2,1]=>[2,2,2,1,1]=>10101011=>6 [3,7,4,6,2,1,5,8]=>[6,2,5,3,7,8,4,1]=>[1,2,3,1,1]=>11010011=>4 [3,5,7,6,1,2,8,4]=>[6,4,2,3,8,7,1,5]=>[1,1,3,1,2]=>11100110=>3 [8,6,5,2,1,3,7,4]=>[1,3,4,7,8,6,2,5]=>[5,1,2]=>10000110=>3 [6,2,3,5,1,4,7,8]=>[3,7,6,4,8,5,2,1]=>[2,1,2,1,1,1]=>10110111=>4 [4,2,8,5,6,1,7,3]=>[5,7,1,4,3,8,2,6]=>[2,2,2,2]=>10101010=>7 [8,2,6,1,3,4,7,5]=>[1,7,3,8,6,5,2,4]=>[2,2,1,1,2]=>10101110=>5 [5,8,1,2,6,4,3,7]=>[4,1,8,7,3,5,6,2]=>[1,2,1,3,1]=>11011001=>4 [5,4,7,1,2,6,8,3]=>[4,5,2,8,7,3,1,6]=>[2,2,1,1,2]=>10101110=>5 [1,5,6,4,7,3,8,2,9]=>[9,5,4,6,3,7,2,8,1]=>[1,1,2,2,2,1]=>111010101=>6 [2,7,4,6,5,1,3,8]=>[7,2,5,3,4,8,6,1]=>[1,2,3,1,1]=>11010011=>4 [9,8,7,6,3,2,5,1,4]=>[1,2,3,4,7,8,5,9,6]=>[6,2,1]=>100000101=>4 [9,8,7,6,3,1,5,4,2]=>[1,2,3,4,7,9,5,6,8]=>[6,3]=>100000100=>3 [8,4,3,6,1,2,7,5]=>[1,5,6,3,8,7,2,4]=>[3,2,1,2]=>10010110=>5 [6,2,1,3,5,8,4,7]=>[3,7,8,6,4,1,5,2]=>[3,1,1,2,1]=>10011101=>4 [6,4,1,8,5,7,2,3]=>[3,5,8,1,4,2,7,6]=>[3,2,2,1]=>10010101=>6 [6,5,7,1,8,3,2,4]=>[3,4,2,8,1,6,7,5]=>[2,2,3,1]=>10101001=>6 [4,7,3,6,8,1,5,2]=>[5,2,6,3,1,8,4,7]=>[1,2,1,2,2]=>11011010=>5 [2,1,5,4,6,7,8,9,3]=>[8,9,5,6,4,3,2,1,7]=>[2,2,1,1,1,2]=>101011110=>5 [9,2,1,8,6,5,4,3,7]=>[1,8,9,2,4,5,6,7,3]=>[3,5,1]=>100100001=>4 [1,9,2,8,3,7,5,4,6]=>[9,1,8,2,7,3,5,6,4]=>[1,2,2,3,1]=>110101001=>6 [9,8,7,1,6,2,5,3,4]=>[1,2,3,9,4,8,5,7,6]=>[4,2,2,1]=>100010101=>6 [2,4,6,5,7,1,3,8]=>[7,5,3,4,2,8,6,1]=>[1,1,2,2,1,1]=>11101011=>4 [3,5,8,2,6,7,4,1]=>[6,4,1,7,3,2,5,8]=>[1,1,2,1,3]=>11101100=>3 [2,8,3,6,4,5,1,7]=>[7,1,6,3,5,4,8,2]=>[1,2,2,2,1]=>11010101=>6 [6,5,2,3,1,8,4,7]=>[3,4,7,6,8,1,5,2]=>[3,2,2,1]=>10010101=>6 [7,8,6,4,2,1,5,3]=>[2,1,3,5,7,8,4,6]=>[1,5,2]=>11000010=>3 [7,2,6,1,3,8,4,5]=>[2,7,3,8,6,1,5,4]=>[2,2,1,2,1]=>10101101=>6 [8,3,2,7,1,4,6,5]=>[1,6,7,2,8,5,3,4]=>[3,2,1,2]=>10010110=>5 [3,7,1,2,6,4,8,5]=>[6,2,8,7,3,5,1,4]=>[1,2,1,2,2]=>11011010=>5 [5,2,4,6,3,8,7,1]=>[4,7,5,3,6,1,2,8]=>[2,1,2,3]=>10110100=>5 [7,2,4,6,8,5,3,1]=>[2,7,5,3,1,4,6,8]=>[2,1,1,4]=>10111000=>3 [5,7,2,6,4,8,3,1]=>[4,2,7,3,5,1,6,8]=>[1,2,2,3]=>11010100=>5 [7,6,2,8,3,4,1,5]=>[2,3,7,1,6,5,8,4]=>[3,2,2,1]=>10010101=>6 [2,8,7,3,6,4,5,1]=>[7,1,2,6,3,5,4,8]=>[1,3,2,2]=>11001010=>5 [8,4,5,7,6,2,1,3]=>[1,5,4,2,3,7,8,6]=>[2,1,4,1]=>10110001=>4 [9,8,7,2,6,5,1,4,3]=>[1,2,3,8,4,5,9,6,7]=>[4,3,2]=>100010010=>5 [9,4,8,7,6,5,1,2,3]=>[1,6,2,3,4,5,9,8,7]=>[2,5,1,1]=>101000011=>4 [6,8,4,7,1,5,9,3,2]=>[4,2,6,3,9,5,1,7,8]=>[1,2,2,1,3]=>110101100=>5 [7,5,8,3,6,1,4,9,2]=>[3,5,2,7,4,9,6,1,8]=>[2,2,2,1,2]=>101010110=>7 [5,2,7,8,3,1,6,4]=>[4,7,2,1,6,8,3,5]=>[2,1,3,2]=>10110010=>5 [7,8,4,5,2,1,6,3]=>[2,1,5,4,7,8,3,6]=>[1,2,3,2]=>11010010=>5 [2,4,3,5,7,1,6,8]=>[7,5,6,4,2,8,3,1]=>[1,2,1,2,1,1]=>11011011=>4 [8,7,5,4,1,3,6,2]=>[1,2,4,5,8,6,3,7]=>[5,1,2]=>10000110=>3 [8,3,5,6,2,4,7,1]=>[1,6,4,3,7,5,2,8]=>[2,1,2,1,2]=>10110110=>5 [8,2,6,7,3,5,1,4]=>[1,7,3,2,6,4,8,5]=>[2,1,2,2,1]=>10110101=>6 [8,6,1,5,7,3,4,2]=>[1,3,8,4,2,6,5,7]=>[3,1,2,2]=>10011010=>5 [8,4,7,6,3,2,5,1]=>[1,5,2,3,6,7,4,8]=>[2,4,2]=>10100010=>5 [9,6,8,7,5,4,3,2,1]=>[1,4,2,3,5,6,7,8,9]=>[2,7]=>101000000=>3 [9,6,5,8,7,4,3,2,1]=>[1,4,5,2,3,6,7,8,9]=>[3,6]=>100100000=>3 [2,7,3,6,8,4,5,1]=>[7,2,6,3,1,5,4,8]=>[1,2,1,2,2]=>11011010=>5 [5,2,7,6,3,4,1,8]=>[4,7,2,3,6,5,8,1]=>[2,3,2,1]=>10100101=>6 [6,5,4,7,3,8,2,9,1]=>[4,5,6,3,7,2,8,1,9]=>[3,2,2,2]=>100101010=>7 [6,4,2,5,7,1,3,8]=>[3,5,7,4,2,8,6,1]=>[3,1,2,1,1]=>10011011=>4 [2,5,7,4,3,6,1,8]=>[7,4,2,5,6,3,8,1]=>[1,1,3,2,1]=>11100101=>4 [4,5,6,7,8,3,2,1,9]=>[6,5,4,3,2,7,8,9,1]=>[1,1,1,1,4,1]=>111110001=>2 [7,4,6,5,3,8,1,2]=>[2,5,3,4,6,1,8,7]=>[2,3,2,1]=>10100101=>6 [3,8,6,4,2,1,7,5]=>[6,1,3,5,7,8,2,4]=>[1,5,2]=>11000010=>3 [6,1,8,3,5,7,2,4]=>[3,8,1,6,4,2,7,5]=>[2,2,1,2,1]=>10101101=>6 [2,7,4,5,1,3,6,8]=>[7,2,5,4,8,6,3,1]=>[1,2,2,1,1,1]=>11010111=>4 [4,7,1,5,2,3,6,8]=>[5,2,8,4,7,6,3,1]=>[1,2,2,1,1,1]=>11010111=>4 [8,5,4,6,3,1,7,2]=>[1,4,5,3,6,8,2,7]=>[3,3,2]=>10010010=>5 [7,8,3,6,5,4,2,1]=>[2,1,6,3,4,5,7,8]=>[1,2,5]=>11010000=>3 [8,4,3,6,2,7,5,1]=>[1,5,6,3,7,2,4,8]=>[3,2,3]=>10010100=>5 [8,7,2,5,3,4,6,1]=>[1,2,7,4,6,5,3,8]=>[3,2,1,2]=>10010110=>5 [3,7,2,1,6,5,4,8]=>[6,2,7,8,3,4,5,1]=>[1,3,3,1]=>11001001=>4 [2,7,3,4,1,6,5,8]=>[7,2,6,5,8,3,4,1]=>[1,2,2,2,1]=>11010101=>6 [4,2,3,6,1,5,7,8]=>[5,7,6,3,8,4,2,1]=>[2,1,2,1,1,1]=>10110111=>4 [4,1,6,5,8,7,2,3]=>[5,8,3,4,1,2,7,6]=>[2,2,3,1]=>10101001=>6 [4,1,8,6,2,5,3,7]=>[5,8,1,3,7,4,6,2]=>[2,3,2,1]=>10100101=>6 [3,5,1,8,7,6,4,2]=>[6,4,8,1,2,3,5,7]=>[1,2,5]=>11010000=>3 [7,4,5,3,1,6,2,8]=>[2,5,4,6,8,3,7,1]=>[2,3,2,1]=>10100101=>6 [5,7,1,2,4,6,3,8]=>[4,2,8,7,5,3,6,1]=>[1,2,1,1,2,1]=>11011101=>4 [2,5,3,8,6,4,7,1]=>[7,4,6,1,3,5,2,8]=>[1,2,3,2]=>11010010=>5 [5,7,8,1,9,2,3,4,6]=>[5,3,2,9,1,8,7,6,4]=>[1,1,2,2,1,1,1]=>111010111=>4 [4,6,1,8,2,9,3,5,7]=>[6,4,9,2,8,1,7,5,3]=>[1,2,2,2,1,1]=>110101011=>6 [4,6,7,8,1,9,2,3,5]=>[6,4,3,2,9,1,8,7,5]=>[1,1,1,2,2,1,1]=>111101011=>4 [3,5,7,1,8,2,9,4,6]=>[7,5,3,9,2,8,1,6,4]=>[1,1,2,2,2,1]=>111010101=>6 [1,5,3,2,6,4,8,7]=>[8,4,6,7,3,5,1,2]=>[1,3,2,2]=>11001010=>5 [2,1,3,7,6,4,8,5]=>[7,8,6,2,3,5,1,4]=>[2,1,3,2]=>10110010=>5 [7,2,8,3,4,1,6,5]=>[2,7,1,6,5,8,3,4]=>[2,2,2,2]=>10101010=>7 [7,1,4,6,2,5,8,3]=>[2,8,5,3,7,4,1,6]=>[2,1,2,1,2]=>10110110=>5 [6,2,8,1,5,3,4,7]=>[3,7,1,8,4,6,5,2]=>[2,2,2,1,1]=>10101011=>6 [1,3,6,5,2,8,7,4]=>[8,6,3,4,7,1,2,5]=>[1,1,3,3]=>11100100=>3 [3,1,8,4,2,6,7,5]=>[6,8,1,5,7,3,2,4]=>[2,3,1,2]=>10100110=>5 [4,9,8,7,6,5,1,2,3]=>[6,1,2,3,4,5,9,8,7]=>[1,6,1,1]=>110000011=>2 [8,4,3,2,6,1,7,5]=>[1,5,6,7,3,8,2,4]=>[4,2,2]=>10001010=>5 [7,6,2,1,4,3,5,8]=>[2,3,7,8,5,6,4,1]=>[4,2,1,1]=>10001011=>4 [4,7,1,3,6,8,5,2]=>[5,2,8,6,3,1,4,7]=>[1,2,1,1,3]=>11011100=>3 [5,1,4,7,6,3,8,2]=>[4,8,5,2,3,6,1,7]=>[2,1,3,2]=>10110010=>5 [8,3,7,1,2,5,4,6]=>[1,6,2,8,7,4,5,3]=>[2,2,1,2,1]=>10101101=>6 [2,8,1,4,3,5,6,7]=>[7,1,8,5,6,4,3,2]=>[1,2,2,1,1,1]=>11010111=>4 [8,3,6,5,7,4,1,2]=>[1,6,3,4,2,5,8,7]=>[2,2,3,1]=>10101001=>6 [1,7,3,2,5,8,6,4]=>[8,2,6,7,4,1,3,5]=>[1,3,1,3]=>11001100=>3 [3,7,2,4,5,1,8,6]=>[6,2,7,5,4,8,1,3]=>[1,2,1,2,2]=>11011010=>5 [2,1,7,5,3,4,6,8]=>[7,8,2,4,6,5,3,1]=>[2,3,1,1,1]=>10100111=>4 [1,8,5,3,4,2,7,6]=>[8,1,4,6,5,7,2,3]=>[1,3,2,2]=>11001010=>5 [8,1,5,2,4,7,6,3]=>[1,8,4,7,5,2,3,6]=>[2,2,1,3]=>10101100=>5 [1,3,8,7,4,2,5,6]=>[8,6,1,2,5,7,4,3]=>[1,1,4,1,1]=>11100011=>2 [8,7,4,1,5,6,3,2]=>[1,2,5,8,4,3,6,7]=>[4,1,3]=>10001100=>3 [5,2,7,6,3,1,4,8]=>[4,7,2,3,6,8,5,1]=>[2,4,1,1]=>10100011=>4 [1,8,9,6,5,4,3,2,7]=>[9,2,1,4,5,6,7,8,3]=>[1,1,6,1]=>111000001=>2 [1,8,7,9,5,4,3,2,6]=>[9,2,3,1,5,6,7,8,4]=>[1,2,5,1]=>110100001=>4 [1,8,7,6,9,4,3,2,5]=>[9,2,3,4,1,6,7,8,5]=>[1,3,4,1]=>110010001=>4 [1,8,7,6,5,9,3,2,4]=>[9,2,3,4,5,1,7,8,6]=>[1,4,3,1]=>110001001=>4 [3,8,7,6,5,9,4,1,2]=>[7,2,3,4,5,1,6,9,8]=>[1,4,3,1]=>110001001=>4 [2,9,3,8,4,7,5,6,1]=>[8,1,7,2,6,3,5,4,9]=>[1,2,2,2,2]=>110101010=>7 [2,5,4,1,3,6,7,8,9]=>[8,5,6,9,7,4,3,2,1]=>[1,3,1,1,1,1,1]=>110011111=>2 [8,2,3,5,7,4,1,6]=>[1,7,6,4,2,5,8,3]=>[2,1,1,3,1]=>10111001=>4 [1,9,8,7,6,2,4,5,3]=>[9,1,2,3,4,8,6,5,7]=>[1,5,1,2]=>110000110=>3 [5,1,6,3,4,7,2,8]=>[4,8,3,6,5,2,7,1]=>[2,2,1,2,1]=>10101101=>6 [7,1,5,8,2,4,6,3]=>[2,8,4,1,7,5,3,6]=>[2,1,2,1,2]=>10110110=>5 [6,4,5,1,7,3,2,8]=>[3,5,4,8,2,6,7,1]=>[2,2,3,1]=>10101001=>6 [7,6,2,4,5,1,3,8]=>[2,3,7,5,4,8,6,1]=>[3,1,2,1,1]=>10011011=>4 [3,8,6,2,1,5,4,7]=>[6,1,3,7,8,4,5,2]=>[1,4,2,1]=>11000101=>4 [4,3,1,9,8,7,6,5,2]=>[6,7,9,1,2,3,4,5,8]=>[3,6]=>100100000=>3 [7,1,8,2,6,5,3,4]=>[2,8,1,7,3,4,6,5]=>[2,2,3,1]=>10101001=>6 [8,5,7,3,4,6,1,2]=>[1,4,2,6,5,3,8,7]=>[2,2,1,2,1]=>10101101=>6 [7,5,2,6,4,1,8,3]=>[2,4,7,3,5,8,1,6]=>[3,3,2]=>10010010=>5 [3,1,2,5,8,4,7,6]=>[6,8,7,4,1,5,2,3]=>[2,1,1,2,2]=>10111010=>5 [8,7,4,2,3,1,6,5]=>[1,2,5,7,6,8,3,4]=>[4,2,2]=>10001010=>5 [4,7,5,6,1,2,3,8]=>[5,2,4,3,8,7,6,1]=>[1,2,2,1,1,1]=>11010111=>4 [8,2,4,7,6,3,5,1]=>[1,7,5,2,3,6,4,8]=>[2,1,3,2]=>10110010=>5 [3,8,6,2,5,4,1,7]=>[6,1,3,7,4,5,8,2]=>[1,3,3,1]=>11001001=>4 [6,1,8,7,5,2,4,3]=>[3,8,1,2,4,7,5,6]=>[2,4,2]=>10100010=>5 [4,7,5,2,1,6,8,3]=>[5,2,4,7,8,3,1,6]=>[1,4,1,2]=>11000110=>3 [1,8,3,2,6,5,4,7]=>[8,1,6,7,3,4,5,2]=>[1,3,3,1]=>11001001=>4 [7,1,4,8,6,5,3,2]=>[2,8,5,1,3,4,6,7]=>[2,1,5]=>10110000=>3 [8,3,4,2,7,1,5,6]=>[1,6,5,7,2,8,4,3]=>[2,2,2,1,1]=>10101011=>6 [8,3,4,6,2,7,5,1]=>[1,6,5,3,7,2,4,8]=>[2,1,2,3]=>10110100=>5 [4,7,5,1,8,3,6,2]=>[5,2,4,8,1,6,3,7]=>[1,3,2,2]=>11001010=>5 [6,7,5,1,4,2,3,8]=>[3,2,4,8,5,7,6,1]=>[1,3,2,1,1]=>11001011=>4 [5,7,6,4,2,3,8,1]=>[4,2,3,5,7,6,1,8]=>[1,4,1,2]=>11000110=>3 [8,5,7,4,6,3,1,2]=>[1,4,2,5,3,6,8,7]=>[2,2,3,1]=>10101001=>6 [4,5,7,8,6,1,3,2]=>[5,4,2,1,3,8,6,7]=>[1,1,1,3,2]=>11110010=>3 [2,7,8,1,5,6,4,3]=>[7,2,1,8,4,3,5,6]=>[1,1,2,1,3]=>11101100=>3 [6,1,8,5,2,3,7,4]=>[3,8,1,4,7,6,2,5]=>[2,3,1,2]=>10100110=>5 [2,8,6,1,3,7,4,5]=>[7,1,3,8,6,2,5,4]=>[1,3,1,2,1]=>11001101=>4 [2,6,1,3,5,7,4,8]=>[7,3,8,6,4,2,5,1]=>[1,2,1,1,2,1]=>11011101=>4 [4,6,2,5,7,8,3,1]=>[5,3,7,4,2,1,6,8]=>[1,2,1,1,3]=>11011100=>3 [5,2,8,1,4,3,6,7]=>[4,7,1,8,5,6,3,2]=>[2,2,2,1,1]=>10101011=>6 [1,2,4,5,6,7,3,8,9]=>[9,8,6,5,4,3,7,2,1]=>[1,1,1,1,1,2,1,1]=>111111011=>2 [5,3,8,4,2,1,7,6]=>[4,6,1,5,7,8,2,3]=>[2,4,2]=>10100010=>5 [5,6,1,3,8,2,4,7]=>[4,3,8,6,1,7,5,2]=>[1,2,1,2,1,1]=>11011011=>4 [1,2,8,3,7,5,6,4]=>[8,7,1,6,2,4,3,5]=>[1,1,2,2,2]=>11101010=>5 [4,7,2,5,3,6,8,1]=>[5,2,7,4,6,3,1,8]=>[1,2,2,1,2]=>11010110=>5 [8,4,7,3,2,6,5,1]=>[1,5,2,6,7,3,4,8]=>[2,3,3]=>10100100=>5 [1,9,8,2,6,7,5,4,3]=>[9,1,2,8,4,3,5,6,7]=>[1,3,1,4]=>110011000=>3 [8,5,4,1,2,6,7,3]=>[1,4,5,8,7,3,2,6]=>[4,1,1,2]=>10001110=>3 [3,6,7,4,5,1,2,8]=>[6,3,2,5,4,8,7,1]=>[1,1,2,2,1,1]=>11101011=>4 [5,7,4,2,3,6,1,8]=>[4,2,5,7,6,3,8,1]=>[1,3,1,2,1]=>11001101=>4 [3,4,8,2,5,1,6,7]=>[6,5,1,7,4,8,3,2]=>[1,1,2,2,1,1]=>11101011=>4 [4,3,8,2,6,5,1,7]=>[5,6,1,7,3,4,8,2]=>[2,2,3,1]=>10101001=>6 [9,8,6,5,3,2,1,4,7]=>[1,2,4,5,7,8,9,6,3]=>[7,1,1]=>100000011=>2 [7,3,5,2,4,6,8,1]=>[2,6,4,7,5,3,1,8]=>[2,2,1,1,2]=>10101110=>5 [2,1,7,3,6,5,4,8]=>[7,8,2,6,3,4,5,1]=>[2,2,3,1]=>10101001=>6 [9,1,8,2,7,6,5,4,3]=>[1,9,2,8,3,4,5,6,7]=>[2,2,5]=>101010000=>5 [7,3,4,2,5,8,1,6]=>[2,6,5,7,4,1,8,3]=>[2,2,1,2,1]=>10101101=>6 [3,4,1,7,6,5,2,8]=>[6,5,8,2,3,4,7,1]=>[1,2,4,1]=>11010001=>4 [3,5,8,6,7,1,2,4]=>[6,4,1,3,2,8,7,5]=>[1,1,2,2,1,1]=>11101011=>4 [3,2,7,8,6,5,1,4]=>[6,7,2,1,3,4,8,5]=>[2,1,4,1]=>10110001=>4 [6,7,4,1,3,5,2,8]=>[3,2,5,8,6,4,7,1]=>[1,3,1,2,1]=>11001101=>4 [3,2,8,6,5,7,1,4]=>[6,7,1,3,4,2,8,5]=>[2,3,2,1]=>10100101=>6 [5,7,2,4,3,1,6,8]=>[4,2,7,5,6,8,3,1]=>[1,2,3,1,1]=>11010011=>4 [7,2,3,6,1,5,4,8]=>[2,7,6,3,8,4,5,1]=>[2,1,2,2,1]=>10110101=>6 [8,1,2,7,4,6,3,5]=>[1,8,7,2,5,3,6,4]=>[2,1,2,2,1]=>10110101=>6 [7,1,2,5,4,3,6,8]=>[2,8,7,4,5,6,3,1]=>[2,1,3,1,1]=>10110011=>4 [1,2,7,3,4,5,6,8,9]=>[9,8,3,7,6,5,4,2,1]=>[1,1,2,1,1,1,1,1]=>111011111=>2 [8,4,1,5,3,2,7,6]=>[1,5,8,4,6,7,2,3]=>[3,3,2]=>10010010=>5 [4,8,1,5,3,2,7,6]=>[5,1,8,4,6,7,2,3]=>[1,2,3,2]=>11010010=>5 [1,5,6,3,2,7,4,8]=>[8,4,3,6,7,2,5,1]=>[1,1,3,2,1]=>11100101=>4 [8,3,7,1,4,2,5,6]=>[1,6,2,8,5,7,4,3]=>[2,2,2,1,1]=>10101011=>6 [7,1,3,5,2,6,4,8]=>[2,8,6,4,7,3,5,1]=>[2,1,2,2,1]=>10110101=>6 [7,1,5,4,3,2,6,8]=>[2,8,4,5,6,7,3,1]=>[2,4,1,1]=>10100011=>4 [3,4,6,8,1,2,7,5]=>[6,5,3,1,8,7,2,4]=>[1,1,1,2,1,2]=>11110110=>3 [7,3,4,2,8,6,5,1]=>[2,6,5,7,1,3,4,8]=>[2,2,4]=>10101000=>5 [3,5,8,4,1,7,6,2]=>[6,4,1,5,8,2,3,7]=>[1,1,3,3]=>11100100=>3 [8,4,6,3,2,7,1,5]=>[1,5,3,6,7,2,8,4]=>[2,3,2,1]=>10100101=>6 [8,5,6,3,1,7,2,4]=>[1,4,3,6,8,2,7,5]=>[2,3,2,1]=>10100101=>6 [7,5,1,6,4,8,3,2]=>[2,4,8,3,5,1,6,7]=>[3,2,3]=>10010100=>5 [4,8,7,1,3,2,5,6]=>[5,1,2,8,6,7,4,3]=>[1,3,2,1,1]=>11001011=>4 [7,1,2,8,6,5,4,3,9]=>[3,9,8,2,4,5,6,7,1]=>[2,1,5,1]=>101100001=>4 [3,8,5,2,4,1,7,6]=>[6,1,4,7,5,8,2,3]=>[1,3,2,2]=>11001010=>5 [3,6,2,5,7,4,1,8]=>[6,3,7,4,2,5,8,1]=>[1,2,1,3,1]=>11011001=>4 [5,6,3,7,8,4,1,2]=>[4,3,6,2,1,5,8,7]=>[1,2,1,3,1]=>11011001=>4 [4,9,8,7,6,3,1,5,2]=>[6,1,2,3,4,7,9,5,8]=>[1,6,2]=>110000010=>3 [6,3,7,1,5,8,2,4]=>[3,6,2,8,4,1,7,5]=>[2,2,1,2,1]=>10101101=>6 [5,6,3,1,4,8,7,2]=>[4,3,6,8,5,1,2,7]=>[1,3,1,3]=>11001100=>3 [6,1,8,4,3,7,5,2]=>[3,8,1,5,6,2,4,7]=>[2,3,3]=>10100100=>5 [1,3,5,8,7,9,6,4,2]=>[9,7,5,2,3,1,4,6,8]=>[1,1,1,2,4]=>111101000=>3 [1,6,5,4,3,2,8,9,7]=>[9,4,5,6,7,8,2,1,3]=>[1,5,1,2]=>110000110=>3 [7,5,6,1,4,8,3,2]=>[2,4,3,8,5,1,6,7]=>[2,2,1,3]=>10101100=>5 [2,7,1,6,4,5,3,8]=>[7,2,8,3,5,4,6,1]=>[1,2,2,2,1]=>11010101=>6 [3,8,6,7,1,4,2,5]=>[6,1,3,2,8,5,7,4]=>[1,2,2,2,1]=>11010101=>6 [5,1,6,7,2,4,3,8]=>[4,8,3,2,7,5,6,1]=>[2,1,2,2,1]=>10110101=>6 [5,8,2,3,7,1,6,4]=>[4,1,7,6,2,8,3,5]=>[1,2,1,2,2]=>11011010=>5 [5,8,1,2,7,4,6,3]=>[4,1,8,7,2,5,3,6]=>[1,2,1,2,2]=>11011010=>5 [3,8,2,5,7,4,1,6]=>[6,1,7,4,2,5,8,3]=>[1,2,1,3,1]=>11011001=>4 [4,5,2,1,3,7,8,6]=>[5,4,7,8,6,2,1,3]=>[1,3,1,1,2]=>11001110=>3 [9,8,3,7,6,5,2,1,4]=>[1,2,7,3,4,5,8,9,6]=>[3,5,1]=>100100001=>4 [4,2,1,7,6,3,5,8]=>[5,7,8,2,3,6,4,1]=>[3,3,1,1]=>10010011=>4 [7,5,2,1,3,4,8,6]=>[2,4,7,8,6,5,1,3]=>[4,1,1,2]=>10001110=>3 [7,6,1,3,2,4,5,8]=>[2,3,8,6,7,5,4,1]=>[3,2,1,1,1]=>10010111=>4 [8,5,3,1,4,7,2,6]=>[1,4,6,8,5,2,7,3]=>[4,1,2,1]=>10001101=>4 [3,7,2,6,4,1,8,5]=>[6,2,7,3,5,8,1,4]=>[1,2,3,2]=>11010010=>5 [6,2,7,5,1,4,3,8]=>[3,7,2,4,8,5,6,1]=>[2,3,2,1]=>10100101=>6 [8,5,2,1,4,6,3,7]=>[1,4,7,8,5,3,6,2]=>[4,1,2,1]=>10001101=>4 [9,8,6,4,2,7,5,3,1]=>[1,2,4,6,8,3,5,7,9]=>[5,4]=>100001000=>3 [5,1,4,6,8,7,2,3]=>[4,8,5,3,1,2,7,6]=>[2,1,1,3,1]=>10111001=>4 [7,6,2,1,4,5,8,3]=>[2,3,7,8,5,4,1,6]=>[4,1,1,2]=>10001110=>3 [7,2,9,3,4,5,6,8,1]=>[3,8,1,7,6,5,4,2,9]=>[2,2,1,1,1,2]=>101011110=>5 [2,6,8,7,1,4,3,5]=>[7,3,1,2,8,5,6,4]=>[1,1,3,2,1]=>11100101=>4 [8,3,1,6,4,5,7,2]=>[1,6,8,3,5,4,2,7]=>[3,2,1,2]=>10010110=>5 [8,2,4,7,5,3,6,1]=>[1,7,5,2,4,6,3,8]=>[2,1,3,2]=>10110010=>5 [8,3,6,2,5,7,4,1]=>[1,6,3,7,4,2,5,8]=>[2,2,1,3]=>10101100=>5 [8,6,3,5,2,4,7,1]=>[1,3,6,4,7,5,2,8]=>[3,2,1,2]=>10010110=>5 [8,3,6,1,5,4,7,2]=>[1,6,3,8,4,5,2,7]=>[2,2,2,2]=>10101010=>7 [4,8,1,5,6,3,2,7]=>[5,1,8,4,3,6,7,2]=>[1,2,1,3,1]=>11011001=>4 [5,8,7,3,1,2,6,4]=>[4,1,2,6,8,7,3,5]=>[1,4,1,2]=>11000110=>3 [7,2,5,4,3,1,8,6]=>[2,7,4,5,6,8,1,3]=>[2,4,2]=>10100010=>5 [7,4,5,2,1,6,3,8]=>[2,5,4,7,8,3,6,1]=>[2,3,2,1]=>10100101=>6 [2,6,1,5,3,8,7,4]=>[7,3,8,4,6,1,2,5]=>[1,2,2,3]=>11010100=>5 [4,2,3,7,5,8,6,1]=>[5,7,6,2,4,1,3,8]=>[2,1,2,3]=>10110100=>5 [3,1,8,6,4,5,2,7]=>[6,8,1,3,5,4,7,2]=>[2,3,2,1]=>10100101=>6 [7,3,4,8,2,5,6,1]=>[2,6,5,1,7,4,3,8]=>[2,1,2,1,2]=>10110110=>5 [4,5,7,1,8,3,6,2]=>[5,4,2,8,1,6,3,7]=>[1,1,2,2,2]=>11101010=>5 [2,7,1,6,4,5,8,3]=>[7,2,8,3,5,4,1,6]=>[1,2,2,1,2]=>11010110=>5 [5,2,1,6,7,3,8,4]=>[4,7,8,3,2,6,1,5]=>[3,1,2,2]=>10011010=>5 [3,2,7,4,6,1,5,8]=>[6,7,2,5,3,8,4,1]=>[2,2,2,1,1]=>10101011=>6 [9,8,1,2,7,6,5,4,3]=>[1,2,9,8,3,4,5,6,7]=>[3,1,5]=>100110000=>3 [9,3,1,2,8,7,6,5,4]=>[1,7,9,8,2,3,4,5,6]=>[3,1,5]=>100110000=>3 [9,7,1,6,5,4,3,2,8]=>[1,3,9,4,5,6,7,8,2]=>[3,5,1]=>100100001=>4 [9,2,1,7,6,5,4,3,8]=>[1,8,9,3,4,5,6,7,2]=>[3,5,1]=>100100001=>4 [9,8,7,1,2,6,5,4,3]=>[1,2,3,9,8,4,5,6,7]=>[4,1,4]=>100011000=>3 [9,4,3,1,2,8,7,6,5]=>[1,6,7,9,8,2,3,4,5]=>[4,1,4]=>100011000=>3 [9,7,6,1,5,4,3,2,8]=>[1,3,4,9,5,6,7,8,2]=>[4,4,1]=>100010001=>4 [9,3,2,1,7,6,5,4,8]=>[1,7,8,9,3,4,5,6,2]=>[4,4,1]=>100010001=>4 [1,8,6,2,7,5,4,3]=>[8,1,3,7,2,4,5,6]=>[1,3,4]=>11001000=>3 [2,5,8,1,6,3,4,7]=>[7,4,1,8,3,6,5,2]=>[1,1,2,2,1,1]=>11101011=>4 [8,1,6,5,4,2,7,3]=>[1,8,3,4,5,7,2,6]=>[2,4,2]=>10100010=>5 [1,8,7,6,5,2,3,4,9]=>[9,2,3,4,5,8,7,6,1]=>[1,5,1,1,1]=>110000111=>2 [4,2,7,3,8,1,5,6]=>[5,7,2,6,1,8,4,3]=>[2,2,2,1,1]=>10101011=>6 [1,7,8,2,6,5,3,4]=>[8,2,1,7,3,4,6,5]=>[1,1,2,3,1]=>11101001=>4 [4,7,3,2,1,6,8,5]=>[5,2,6,7,8,3,1,4]=>[1,4,1,2]=>11000110=>3 [1,3,7,8,6,2,5,4]=>[8,6,2,1,3,7,4,5]=>[1,1,1,3,2]=>11110010=>3 [3,6,4,1,7,5,8,2]=>[6,3,5,8,2,4,1,7]=>[1,3,2,2]=>11001010=>5 [8,1,6,3,5,7,4,2]=>[1,8,3,6,4,2,5,7]=>[2,2,1,3]=>10101100=>5 [1,2,4,8,5,3,6,7]=>[8,7,5,1,4,6,3,2]=>[1,1,1,3,1,1]=>11110011=>2 [7,4,5,1,6,3,2,8]=>[2,5,4,8,3,6,7,1]=>[2,2,3,1]=>10101001=>6 [3,6,7,2,5,4,1,8]=>[6,3,2,7,4,5,8,1]=>[1,1,2,3,1]=>11101001=>4 [4,7,8,2,3,6,5,1]=>[5,2,1,7,6,3,4,8]=>[1,1,2,1,3]=>11101100=>3 [6,8,4,3,5,2,1,7]=>[3,1,5,6,4,7,8,2]=>[1,3,3,1]=>11001001=>4 [2,7,5,1,6,4,8,3]=>[7,2,4,8,3,5,1,6]=>[1,3,2,2]=>11001010=>5 [6,1,3,8,7,4,2,5]=>[3,8,6,1,2,5,7,4]=>[2,1,4,1]=>10110001=>4 [8,2,5,1,6,4,3,7]=>[1,7,4,8,3,5,6,2]=>[2,2,3,1]=>10101001=>6 [4,8,5,3,6,2,1,7]=>[5,1,4,6,3,7,8,2]=>[1,3,3,1]=>11001001=>4 [4,8,3,2,5,7,1,6]=>[5,1,6,7,4,2,8,3]=>[1,3,1,2,1]=>11001101=>4 [8,7,6,5,3,4,2,1,9]=>[2,3,4,5,7,6,8,9,1]=>[5,3,1]=>100001001=>4 [5,4,8,6,7,1,3,2]=>[4,5,1,3,2,8,6,7]=>[2,2,2,2]=>10101010=>7 [3,1,6,7,5,4,8,2]=>[6,8,3,2,4,5,1,7]=>[2,1,3,2]=>10110010=>5 [3,5,2,1,4,8,6,7]=>[6,4,7,8,5,1,3,2]=>[1,3,1,2,1]=>11001101=>4 [5,1,9,2,8,3,7,4,6]=>[5,9,1,8,2,7,3,6,4]=>[2,2,2,2,1]=>101010101=>8 [8,2,5,3,6,4,7,1]=>[1,7,4,6,3,5,2,8]=>[2,2,2,2]=>10101010=>7 [6,1,4,3,7,5,2,8]=>[3,8,5,6,2,4,7,1]=>[2,2,3,1]=>10101001=>6 [3,5,2,4,6,8,7,1]=>[6,4,7,5,3,1,2,8]=>[1,2,1,1,3]=>11011100=>3 [8,7,9,6,5,2,1,4,3]=>[2,3,1,4,5,8,9,6,7]=>[2,5,2]=>101000010=>5 [7,3,6,8,2,1,4,5]=>[2,6,3,1,7,8,5,4]=>[2,1,3,1,1]=>10110011=>4 [4,8,3,5,2,6,7,1]=>[5,1,6,4,7,3,2,8]=>[1,2,2,1,2]=>11010110=>5 [1,5,7,2,8,6,3,4]=>[8,4,2,7,1,3,6,5]=>[1,1,2,3,1]=>11101001=>4 [8,4,3,7,5,6,1,2]=>[1,5,6,2,4,3,8,7]=>[3,2,2,1]=>10010101=>6 [7,4,5,8,3,1,2,6]=>[2,5,4,1,6,8,7,3]=>[2,1,3,1,1]=>10110011=>4 [8,7,6,5,9,1,2,3,4]=>[2,3,4,5,1,9,8,7,6]=>[4,2,1,1,1]=>100010111=>4 [5,2,6,1,7,8,3,4]=>[4,7,3,8,2,1,6,5]=>[2,2,1,2,1]=>10101101=>6 [7,2,4,5,6,1,3,8]=>[2,7,5,4,3,8,6,1]=>[2,1,1,2,1,1]=>10111011=>4 [3,4,8,5,2,6,1,7]=>[6,5,1,4,7,3,8,2]=>[1,1,3,2,1]=>11100101=>4 [8,4,1,7,6,5,2,3]=>[1,5,8,2,3,4,7,6]=>[3,4,1]=>10010001=>4 [4,7,8,1,3,6,5,2]=>[5,2,1,8,6,3,4,7]=>[1,1,2,1,3]=>11101100=>3 [8,6,5,3,1,4,7,2]=>[1,3,4,6,8,5,2,7]=>[5,1,2]=>10000110=>3 [4,2,5,1,6,7,3,8]=>[5,7,4,8,3,2,6,1]=>[2,2,1,2,1]=>10101101=>6 [4,5,6,1,8,2,7,3]=>[5,4,3,8,1,7,2,6]=>[1,1,2,2,2]=>11101010=>5 [2,8,5,3,7,1,4,6]=>[7,1,4,6,2,8,5,3]=>[1,3,2,1,1]=>11001011=>4 [5,1,3,8,7,4,2,6]=>[4,8,6,1,2,5,7,3]=>[2,1,4,1]=>10110001=>4 [5,2,7,8,3,4,6,1]=>[4,7,2,1,6,5,3,8]=>[2,1,2,1,2]=>10110110=>5 [3,5,2,4,6,7,1,8]=>[6,4,7,5,3,2,8,1]=>[1,2,1,1,2,1]=>11011101=>4 [3,2,7,5,1,4,8,6]=>[6,7,2,4,8,5,1,3]=>[2,3,1,2]=>10100110=>5 [5,7,4,8,6,2,3,1]=>[4,2,5,1,3,7,6,8]=>[1,2,3,2]=>11010010=>5 [6,3,4,5,1,8,7,2]=>[3,6,5,4,8,1,2,7]=>[2,1,2,3]=>10110100=>5 [7,2,9,8,6,5,4,3,1]=>[3,8,1,2,4,5,6,7,9]=>[2,7]=>101000000=>3 [7,3,9,8,6,5,4,2,1]=>[3,7,1,2,4,5,6,8,9]=>[2,7]=>101000000=>3 [8,4,5,2,7,1,3,6]=>[1,5,4,7,2,8,6,3]=>[2,2,2,1,1]=>10101011=>6 [3,4,1,6,7,5,2,8]=>[6,5,8,3,2,4,7,1]=>[1,2,1,3,1]=>11011001=>4 [6,1,4,7,5,2,8,3]=>[3,8,5,2,4,7,1,6]=>[2,1,3,2]=>10110010=>5 [7,3,4,6,5,1,8,2]=>[2,6,5,3,4,8,1,7]=>[2,1,3,2]=>10110010=>5 [2,8,5,4,7,1,6,3]=>[7,1,4,5,2,8,3,6]=>[1,3,2,2]=>11001010=>5 [8,5,2,3,7,6,4,1]=>[1,4,7,6,2,3,5,8]=>[3,1,4]=>10011000=>3 [3,8,4,5,2,7,6,1]=>[6,1,5,4,7,2,3,8]=>[1,2,2,3]=>11010100=>5 [2,5,7,6,3,4,8,1]=>[7,4,2,3,6,5,1,8]=>[1,1,3,1,2]=>11100110=>3 [4,6,5,8,3,1,2,7]=>[5,3,4,1,6,8,7,2]=>[1,2,3,1,1]=>11010011=>4 [5,1,6,4,2,8,3,7]=>[4,8,3,5,7,1,6,2]=>[2,3,2,1]=>10100101=>6 [7,6,5,4,3,9,1,2,8]=>[3,4,5,6,7,1,9,8,2]=>[5,2,1,1]=>100001011=>4 [2,8,7,4,3,1,6,5]=>[7,1,2,5,6,8,3,4]=>[1,5,2]=>11000010=>3 [7,6,5,3,9,2,1,4,8]=>[3,4,5,7,1,8,9,6,2]=>[4,3,1,1]=>100010011=>4 [1,7,5,4,2,3,6,8]=>[8,2,4,5,7,6,3,1]=>[1,4,1,1,1]=>11000111=>2 [4,6,2,1,7,3,8,5]=>[5,3,7,8,2,6,1,4]=>[1,3,2,2]=>11001010=>5 [1,5,2,3,4,6,7,9,8]=>[9,5,8,7,6,4,3,1,2]=>[1,2,1,1,1,1,2]=>110111110=>3 [7,4,2,6,8,3,5,1]=>[2,5,7,3,1,6,4,8]=>[3,1,2,2]=>10011010=>5 [8,5,1,2,4,7,6,3]=>[1,4,8,7,5,2,3,6]=>[3,1,1,3]=>10011100=>3 [6,2,1,4,7,3,5,8]=>[3,7,8,5,2,6,4,1]=>[3,1,2,1,1]=>10011011=>4 [8,4,2,7,3,1,5,6]=>[1,5,7,2,6,8,4,3]=>[3,3,1,1]=>10010011=>4 [3,7,2,1,6,4,5,8]=>[6,2,7,8,3,5,4,1]=>[1,3,2,1,1]=>11001011=>4 [2,6,8,7,3,1,5,4]=>[7,3,1,2,6,8,4,5]=>[1,1,4,2]=>11100010=>3 [6,4,5,8,1,3,2,7]=>[3,5,4,1,8,6,7,2]=>[2,1,2,2,1]=>10110101=>6 [5,6,4,1,3,7,8,2]=>[4,3,5,8,6,2,1,7]=>[1,3,1,1,2]=>11001110=>3 [8,6,1,5,7,2,4,3]=>[1,3,8,4,2,7,5,6]=>[3,1,2,2]=>10011010=>5 [2,1,3,7,6,8,4,5]=>[7,8,6,2,3,1,5,4]=>[2,1,2,2,1]=>10110101=>6 [4,8,3,2,6,7,5,1]=>[5,1,6,7,3,2,4,8]=>[1,3,1,3]=>11001100=>3 [7,6,1,9,8,5,4,3,2]=>[3,4,9,1,2,5,6,7,8]=>[3,6]=>100100000=>3 [1,8,6,9,4,7,2,5,3]=>[9,2,4,1,6,3,8,5,7]=>[1,2,2,2,2]=>110101010=>7 [1,4,7,6,3,5,2,8]=>[8,5,2,3,6,4,7,1]=>[1,1,3,2,1]=>11100101=>4 [3,5,6,8,1,4,7,2]=>[6,4,3,1,8,5,2,7]=>[1,1,1,2,1,2]=>11110110=>3 [8,1,7,3,4,6,5,2]=>[1,8,2,6,5,3,4,7]=>[2,2,1,3]=>10101100=>5 [3,8,2,7,4,6,5,1]=>[6,1,7,2,5,3,4,8]=>[1,2,2,3]=>11010100=>5 [9,8,7,6,1,3,5,4,2]=>[1,2,3,4,9,7,5,6,8]=>[5,1,3]=>100001100=>3 [9,8,7,1,6,5,2,4,3]=>[1,2,3,9,4,5,8,6,7]=>[4,3,2]=>100010010=>5 [9,8,7,6,2,4,5,3,1]=>[1,2,3,4,8,6,5,7,9]=>[5,1,3]=>100001100=>3 [8,1,3,9,7,6,5,4,2]=>[2,9,7,1,3,4,5,6,8]=>[2,1,6]=>101100000=>3 [1,4,2,3,5,8,6,7,9]=>[9,6,8,7,5,2,4,3,1]=>[1,2,1,1,2,1,1]=>110111011=>4 [8,7,6,5,4,9,1,2,3]=>[2,3,4,5,6,1,9,8,7]=>[5,2,1,1]=>100001011=>4 [3,8,4,7,2,1,5,6]=>[6,1,5,2,7,8,4,3]=>[1,2,3,1,1]=>11010011=>4 [5,6,4,1,3,7,2,8]=>[4,3,5,8,6,2,7,1]=>[1,3,1,2,1]=>11001101=>4 [1,2,7,6,5,4,3,9,8]=>[9,8,3,4,5,6,7,1,2]=>[1,1,5,2]=>111000010=>3 [1,2,8,7,6,5,4,9,3]=>[9,8,2,3,4,5,6,1,7]=>[1,1,5,2]=>111000010=>3 [1,7,6,5,4,3,8,9,2]=>[9,3,4,5,6,7,2,1,8]=>[1,5,1,2]=>110000110=>3 [1,2,8,7,6,5,9,4,3]=>[9,8,2,3,4,5,1,6,7]=>[1,1,4,3]=>111000100=>3 [1,5,4,3,2,8,9,7,6]=>[9,5,6,7,8,2,1,3,4]=>[1,4,1,3]=>110001100=>3 [1,7,6,5,4,8,9,3,2]=>[9,3,4,5,6,2,1,7,8]=>[1,4,1,3]=>110001100=>3 [2,8,7,4,3,1,5,6]=>[7,1,2,5,6,8,4,3]=>[1,5,1,1]=>11000011=>2 [4,2,3,7,6,8,5,1]=>[5,7,6,2,3,1,4,8]=>[2,1,2,3]=>10110100=>5 [2,8,4,6,5,3,1,7]=>[7,1,5,3,4,6,8,2]=>[1,2,4,1]=>11010001=>4 [8,5,2,7,6,3,4,1]=>[1,4,7,2,3,6,5,8]=>[3,3,2]=>10010010=>5 [2,7,9,5,8,3,6,1,4]=>[8,3,1,5,2,7,4,9,6]=>[1,1,2,2,2,1]=>111010101=>6 [1,7,4,3,8,5,6,2]=>[8,2,5,6,1,4,3,7]=>[1,3,2,2]=>11001010=>5 [4,2,8,7,1,5,6,3]=>[5,7,1,2,8,4,3,6]=>[2,3,1,2]=>10100110=>5 [6,3,2,1,7,5,8,4]=>[3,6,7,8,2,4,1,5]=>[4,2,2]=>10001010=>5 [5,6,4,2,3,8,7,1]=>[4,3,5,7,6,1,2,8]=>[1,3,1,3]=>11001100=>3 [9,2,8,3,7,4,6,5,1]=>[1,8,2,7,3,6,4,5,9]=>[2,2,2,3]=>101010100=>7 [9,8,1,7,2,6,3,5,4]=>[1,2,9,3,8,4,7,5,6]=>[3,2,2,2]=>100101010=>7 [9,3,8,4,7,2,6,5,1]=>[1,7,2,6,3,8,4,5,9]=>[2,2,2,3]=>101010100=>7 [5,6,1,2,3,4,7,9,8]=>[5,4,9,8,7,6,3,1,2]=>[1,2,1,1,1,1,2]=>110111110=>3 [2,7,3,4,5,6,8,9,1]=>[8,3,7,6,5,4,2,1,9]=>[1,2,1,1,1,1,2]=>110111110=>3 [6,7,2,3,4,5,8,9,1]=>[4,3,8,7,6,5,2,1,9]=>[1,2,1,1,1,1,2]=>110111110=>3 [7,2,5,6,4,1,3,8]=>[2,7,4,3,5,8,6,1]=>[2,1,3,1,1]=>10110011=>4 [3,6,2,5,7,1,8,4]=>[6,3,7,4,2,8,1,5]=>[1,2,1,2,2]=>11011010=>5 [3,8,5,4,2,7,1,6]=>[6,1,4,5,7,2,8,3]=>[1,4,2,1]=>11000101=>4 [2,7,1,3,4,6,5,8]=>[7,2,8,6,5,3,4,1]=>[1,2,1,1,2,1]=>11011101=>4 [5,6,2,1,8,4,3,7]=>[4,3,7,8,1,5,6,2]=>[1,3,3,1]=>11001001=>4 [1,6,3,8,7,5,4,2]=>[8,3,6,1,2,4,5,7]=>[1,2,5]=>11010000=>3 [5,3,4,1,7,6,2,8]=>[4,6,5,8,2,3,7,1]=>[2,2,3,1]=>10101001=>6 [7,1,5,6,4,2,8,3]=>[2,8,4,3,5,7,1,6]=>[2,1,3,2]=>10110010=>5 [6,5,4,1,3,2,7,8]=>[3,4,5,8,6,7,2,1]=>[4,2,1,1]=>10001011=>4 [4,3,2,1,5,9,8,7,6]=>[6,7,8,9,5,1,2,3,4]=>[4,1,4]=>100011000=>3 [4,3,2,1,9,8,5,6,7]=>[6,7,8,9,1,2,5,4,3]=>[4,3,1,1]=>100010011=>4 [9,3,4,2,1,8,7,6,5]=>[1,7,6,8,9,2,3,4,5]=>[2,3,4]=>101001000=>5 [3,7,6,5,4,2,9,8,1]=>[7,3,4,5,6,8,1,2,9]=>[1,5,3]=>110000100=>3 [6,7,5,8,4,9,3,2,1]=>[4,3,5,2,6,1,7,8,9]=>[1,2,2,4]=>110101000=>5 [7,6,5,4,9,3,8,1,2]=>[3,4,5,6,1,7,2,9,8]=>[4,2,2,1]=>100010101=>6 [7,9,6,8,4,3,2,1,5]=>[3,1,4,2,6,7,8,9,5]=>[1,2,5,1]=>110100001=>4 [3,4,5,7,2,6,1,8]=>[6,5,4,2,7,3,8,1]=>[1,1,1,2,2,1]=>11110101=>4 [6,1,7,5,2,3,8,4]=>[3,8,2,4,7,6,1,5]=>[2,3,1,2]=>10100110=>5 [2,5,3,4,7,1,6,8]=>[7,4,6,5,2,8,3,1]=>[1,2,1,2,1,1]=>11011011=>4 [4,1,7,6,2,5,3,8]=>[5,8,2,3,7,4,6,1]=>[2,3,2,1]=>10100101=>6 [8,4,2,7,3,6,5,1]=>[1,5,7,2,6,3,4,8]=>[3,2,3]=>10010100=>5 [9,1,2,4,6,8,3,5,7]=>[1,9,8,6,4,2,7,5,3]=>[2,1,1,1,2,1,1]=>101111011=>4 [8,4,3,2,1,9,7,6,5]=>[2,6,7,8,9,1,3,4,5]=>[5,4]=>100001000=>3 [7,3,2,4,6,1,8,5]=>[2,6,7,5,3,8,1,4]=>[3,1,2,2]=>10011010=>5 [4,7,6,1,2,8,3,5]=>[5,2,3,8,7,1,6,4]=>[1,3,1,2,1]=>11001101=>4 [2,7,5,8,4,3,1,6]=>[7,2,4,1,5,6,8,3]=>[1,2,4,1]=>11010001=>4 [8,5,3,6,4,1,7,2]=>[1,4,6,3,5,8,2,7]=>[3,3,2]=>10010010=>5 [8,4,3,7,2,6,5,1]=>[1,5,6,2,7,3,4,8]=>[3,2,3]=>10010100=>5 [6,5,4,3,2,9,7,1,8]=>[4,5,6,7,8,1,3,9,2]=>[5,3,1]=>100001001=>4 [4,1,5,3,7,2,6,8]=>[5,8,4,6,2,7,3,1]=>[2,2,2,1,1]=>10101011=>6 [1,2,3,7,6,5,4,8,9]=>[9,8,7,3,4,5,6,2,1]=>[1,1,1,4,1,1]=>111100011=>2 [3,5,7,9,8,6,4,2,1]=>[7,5,3,1,2,4,6,8,9]=>[1,1,1,6]=>111100000=>1 [8,1,3,2,4,7,5,6]=>[1,8,6,7,5,2,4,3]=>[2,2,1,2,1]=>10101101=>6 [4,3,1,2,9,7,6,8,5]=>[6,7,9,8,1,3,4,2,5]=>[3,1,3,2]=>100110010=>5 [9,7,6,4,3,5,2,1,8]=>[1,3,4,6,7,5,8,9,2]=>[5,3,1]=>100001001=>4 [7,2,1,6,4,3,5,8]=>[2,7,8,3,5,6,4,1]=>[3,3,1,1]=>10010011=>4 [8,3,5,1,2,6,7,4]=>[1,6,4,8,7,3,2,5]=>[2,2,1,1,2]=>10101110=>5 [6,3,1,5,7,4,8,2]=>[3,6,8,4,2,5,1,7]=>[3,1,2,2]=>10011010=>5 [9,1,8,3,6,5,4,7,2]=>[1,9,2,7,4,5,6,3,8]=>[2,2,3,2]=>101010010=>7 [5,4,3,1,9,8,7,6,2]=>[5,6,7,9,1,2,3,4,8]=>[4,5]=>100010000=>3 [3,4,6,1,7,5,2,8]=>[6,5,3,8,2,4,7,1]=>[1,1,2,3,1]=>11101001=>4 [7,2,1,3,6,5,4,8]=>[2,7,8,6,3,4,5,1]=>[3,1,3,1]=>10011001=>4 [1,5,2,4,3,7,8,6]=>[8,4,7,5,6,2,1,3]=>[1,2,2,1,2]=>11010110=>5 [3,1,5,4,2,6,8,7]=>[6,8,4,5,7,3,1,2]=>[2,3,1,2]=>10100110=>5 [4,6,3,7,2,8,1,9,5]=>[6,4,7,3,8,2,9,1,5]=>[1,2,2,2,2]=>110101010=>7 [5,7,6,9,4,3,2,1,8]=>[5,3,4,1,6,7,8,9,2]=>[1,2,5,1]=>110100001=>4 [1,7,6,5,4,2,8,9,3]=>[9,3,4,5,6,8,2,1,7]=>[1,5,1,2]=>110000110=>3 [2,7,5,1,6,4,3,8]=>[7,2,4,8,3,5,6,1]=>[1,3,3,1]=>11001001=>4 [8,6,3,2,5,1,7,4]=>[1,3,6,7,4,8,2,5]=>[4,2,2]=>10001010=>5 [5,4,3,2,9,1,8,7,6]=>[5,6,7,8,1,9,2,3,4]=>[4,2,3]=>100010100=>5 [3,2,9,1,8,7,6,5,4]=>[7,8,1,9,2,3,4,5,6]=>[2,2,5]=>101010000=>5 [4,3,5,7,1,2,8,6]=>[5,6,4,2,8,7,1,3]=>[2,1,2,1,2]=>10110110=>5 [4,9,5,8,6,7,3,2,1]=>[6,1,5,2,4,3,7,8,9]=>[1,2,2,4]=>110101000=>5 [8,5,9,6,7,4,3,2,1]=>[2,5,1,4,3,6,7,8,9]=>[2,2,5]=>101010000=>5 [7,8,4,9,5,6,3,2,1]=>[3,2,6,1,5,4,7,8,9]=>[1,2,2,4]=>110101000=>5 [5,7,6,1,3,4,2,8]=>[4,2,3,8,6,5,7,1]=>[1,3,1,2,1]=>11001101=>4 [6,8,3,5,4,2,1,7]=>[3,1,6,4,5,7,8,2]=>[1,2,4,1]=>11010001=>4 [1,7,4,6,5,2,3,8]=>[8,2,5,3,4,7,6,1]=>[1,2,3,1,1]=>11010011=>4 [7,8,1,9,6,5,4,3,2]=>[3,2,9,1,4,5,6,7,8]=>[1,2,6]=>110100000=>3 [8,4,3,6,2,5,7,1]=>[1,5,6,3,7,4,2,8]=>[3,2,1,2]=>10010110=>5 [7,5,8,3,6,1,4,2,9]=>[3,5,2,7,4,9,6,8,1]=>[2,2,2,2,1]=>101010101=>8 [4,7,6,5,9,3,2,1,8]=>[6,3,4,5,1,7,8,9,2]=>[1,3,4,1]=>110010001=>4 [2,9,8,7,6,3,5,1,4]=>[8,1,2,3,4,7,5,9,6]=>[1,5,2,1]=>110000101=>4 [1,3,5,7,2,4,6,8,9]=>[9,7,5,3,8,6,4,2,1]=>[1,1,1,2,1,1,1,1]=>111101111=>2 [5,6,4,3,1,8,7,2]=>[4,3,5,6,8,1,2,7]=>[1,4,3]=>11000100=>3 [6,2,7,1,5,4,8,3]=>[3,7,2,8,4,5,1,6]=>[2,2,2,2]=>10101010=>7 [5,6,7,8,9,1,3,2,4]=>[5,4,3,2,1,9,7,8,6]=>[1,1,1,1,2,2,1]=>111110101=>4 [7,8,9,1,2,4,3,5,6]=>[3,2,1,9,8,6,7,5,4]=>[1,1,2,1,2,1,1]=>111011011=>4 [6,5,4,3,2,8,9,7,1]=>[4,5,6,7,8,2,1,3,9]=>[5,1,3]=>100001100=>3 [6,2,3,1,5,8,7,4]=>[3,7,6,8,4,1,2,5]=>[2,2,1,3]=>10101100=>5 [3,7,2,4,6,8,5,1]=>[6,2,7,5,3,1,4,8]=>[1,2,1,1,3]=>11011100=>3 [1,6,4,5,7,3,8,2,9]=>[9,4,6,5,3,7,2,8,1]=>[1,2,1,2,2,1]=>110110101=>6 [8,1,4,5,2,7,6,3]=>[1,8,5,4,7,2,3,6]=>[2,1,2,3]=>10110100=>5 [5,2,3,7,6,8,1,4]=>[4,7,6,2,3,1,8,5]=>[2,1,2,2,1]=>10110101=>6 [4,8,2,5,3,7,6,1]=>[5,1,7,4,6,2,3,8]=>[1,2,2,3]=>11010100=>5 [5,2,6,4,3,8,7,1]=>[4,7,3,5,6,1,2,8]=>[2,3,3]=>10100100=>5 [3,8,7,6,5,4,1,9,2]=>[7,2,3,4,5,6,9,1,8]=>[1,6,2]=>110000010=>3 [3,6,7,2,4,1,5,8]=>[6,3,2,7,5,8,4,1]=>[1,1,2,2,1,1]=>11101011=>4 [2,5,3,1,8,7,4,6]=>[7,4,6,8,1,2,5,3]=>[1,3,3,1]=>11001001=>4 [2,5,6,8,4,1,7,3]=>[7,4,3,1,5,8,2,6]=>[1,1,1,3,2]=>11110010=>3 [4,1,6,7,3,2,5,8]=>[5,8,3,2,6,7,4,1]=>[2,1,3,1,1]=>10110011=>4 [3,5,2,1,4,8,7,6]=>[6,4,7,8,5,1,2,3]=>[1,3,1,3]=>11001100=>3 [9,5,4,3,2,1,7,6,8]=>[1,5,6,7,8,9,3,4,2]=>[6,2,1]=>100000101=>4 [8,9,6,5,4,3,1,7,2]=>[2,1,4,5,6,7,9,3,8]=>[1,6,2]=>110000010=>3 [3,8,7,2,4,5,1,6]=>[6,1,2,7,5,4,8,3]=>[1,3,1,2,1]=>11001101=>4 [8,9,7,6,5,1,4,3,2]=>[2,1,3,4,5,9,6,7,8]=>[1,5,3]=>110000100=>3 [8,9,7,6,5,2,4,3,1]=>[2,1,3,4,5,8,6,7,9]=>[1,5,3]=>110000100=>3 [4,9,8,7,6,1,5,3,2]=>[6,1,2,3,4,9,5,7,8]=>[1,5,3]=>110000100=>3 [6,9,8,5,1,7,4,3,2]=>[4,1,2,5,9,3,6,7,8]=>[1,4,4]=>110001000=>3 [5,4,3,2,1,7,9,8,6]=>[5,6,7,8,9,3,1,2,4]=>[5,1,3]=>100001100=>3 [2,7,6,4,9,3,8,1,5]=>[8,3,4,6,1,7,2,9,5]=>[1,3,2,2,1]=>110010101=>6 [8,2,6,5,4,3,9,1,7]=>[2,8,4,5,6,7,1,9,3]=>[2,4,2,1]=>101000101=>6 [9,1,8,2,7,3,6,5,4]=>[1,9,2,8,3,7,4,5,6]=>[2,2,2,3]=>101010100=>7 [4,5,2,3,6,8,7,1]=>[5,4,7,6,3,1,2,8]=>[1,2,1,1,3]=>11011100=>3 [1,7,4,5,2,6,3,8]=>[8,2,5,4,7,3,6,1]=>[1,2,2,2,1]=>11010101=>6 [4,6,7,5,3,1,2,8]=>[5,3,2,4,6,8,7,1]=>[1,1,4,1,1]=>11100011=>2 [7,6,1,9,2,3,4,5,8]=>[3,4,9,1,8,7,6,5,2]=>[3,2,1,1,1,1]=>100101111=>4 [8,3,9,5,4,7,2,1,6]=>[2,7,1,5,6,3,8,9,4]=>[2,3,3,1]=>101001001=>6 [5,8,4,3,2,1,9,6,7]=>[5,2,6,7,8,9,1,4,3]=>[1,5,2,1]=>110000101=>4 [8,5,3,1,6,2,7,4]=>[1,4,6,8,3,7,2,5]=>[4,2,2]=>10001010=>5 [4,5,7,8,1,3,6,2]=>[5,4,2,1,8,6,3,7]=>[1,1,1,2,1,2]=>11110110=>3 [6,1,5,3,2,8,7,4]=>[3,8,4,6,7,1,2,5]=>[2,3,3]=>10100100=>5 [4,9,3,2,1,8,7,6,5]=>[6,1,7,8,9,2,3,4,5]=>[1,4,4]=>110001000=>3 [3,4,1,2,6,5,7,8,9]=>[7,6,9,8,4,5,3,2,1]=>[1,2,1,2,1,1,1]=>110110111=>4 [1,2,8,4,6,5,3,7]=>[8,7,1,5,3,4,6,2]=>[1,1,2,3,1]=>11101001=>4 [1,3,4,7,6,2,5,8]=>[8,6,5,2,3,7,4,1]=>[1,1,1,3,1,1]=>11110011=>2 [8,7,6,5,3,2,4,1,9]=>[2,3,4,5,7,8,6,9,1]=>[6,2,1]=>100000101=>4 [9,8,7,6,3,5,2,4,1]=>[1,2,3,4,7,5,8,6,9]=>[5,2,2]=>100001010=>5 [9,8,6,5,3,7,4,1,2]=>[1,2,4,5,7,3,6,9,8]=>[5,3,1]=>100001001=>4 [9,8,4,7,6,3,5,1,2]=>[1,2,6,3,4,7,5,9,8]=>[3,3,2,1]=>100100101=>6 [2,5,7,4,3,1,8,6]=>[7,4,2,5,6,8,1,3]=>[1,1,4,2]=>11100010=>3 [4,1,9,2,3,5,6,7,8]=>[6,9,1,8,7,5,4,3,2]=>[2,2,1,1,1,1,1]=>101011111=>4 [5,2,1,6,4,8,3,7]=>[4,7,8,3,5,1,6,2]=>[3,2,2,1]=>10010101=>6 [7,5,4,3,9,2,8,1,6]=>[3,5,6,7,1,8,2,9,4]=>[4,2,2,1]=>100010101=>6 [4,3,8,6,5,1,2,7]=>[5,6,1,3,4,8,7,2]=>[2,4,1,1]=>10100011=>4 [3,1,4,5,7,6,8,2]=>[6,8,5,4,2,3,1,7]=>[2,1,1,2,2]=>10111010=>5 [6,8,5,2,4,7,3,1]=>[3,1,4,7,5,2,6,8]=>[1,3,1,3]=>11001100=>3 [4,5,3,8,1,6,7,2]=>[5,4,6,1,8,3,2,7]=>[1,2,2,1,2]=>11010110=>5 [1,7,3,8,6,5,4,2]=>[8,2,6,1,3,4,5,7]=>[1,2,5]=>11010000=>3 [5,2,1,6,7,3,4,8]=>[4,7,8,3,2,6,5,1]=>[3,1,2,1,1]=>10011011=>4 [1,8,6,4,5,3,2,7]=>[8,1,3,5,4,6,7,2]=>[1,3,3,1]=>11001001=>4 [9,7,6,5,4,8,3,2,1]=>[1,3,4,5,6,2,7,8,9]=>[5,4]=>100001000=>3 [5,4,6,1,7,3,8,2,9]=>[5,6,4,9,3,7,2,8,1]=>[2,2,2,2,1]=>101010101=>8 [9,1,8,7,4,6,5,3,2]=>[1,9,2,3,6,4,5,7,8]=>[2,3,4]=>101001000=>5 [6,8,3,7,2,5,1,4,9]=>[4,2,7,3,8,5,9,6,1]=>[1,2,2,2,1,1]=>110101011=>6 [3,8,5,1,7,4,6,2]=>[6,1,4,8,2,5,3,7]=>[1,3,2,2]=>11001010=>5 [5,6,7,9,1,3,4,8,2]=>[5,4,3,1,9,7,6,2,8]=>[1,1,1,2,1,1,2]=>111101110=>3 [8,9,7,6,5,4,1,2,3]=>[2,1,3,4,5,6,9,8,7]=>[1,6,1,1]=>110000011=>2 [8,6,9,5,7,4,1,3,2]=>[2,4,1,5,3,6,9,7,8]=>[2,2,3,2]=>101010010=>7 [8,7,9,6,3,5,1,4,2]=>[2,3,1,4,7,5,9,6,8]=>[2,3,2,2]=>101001010=>7 [1,7,3,2,6,5,8,4]=>[8,2,6,7,3,4,1,5]=>[1,3,2,2]=>11001010=>5 [5,9,4,3,2,1,6,7,8]=>[5,1,6,7,8,9,4,3,2]=>[1,5,1,1,1]=>110000111=>2 [8,1,9,2,7,3,6,4,5]=>[2,9,1,8,3,7,4,6,5]=>[2,2,2,2,1]=>101010101=>8 [6,7,8,2,1,9,5,4,3]=>[4,3,2,8,9,1,5,6,7]=>[1,1,3,4]=>111001000=>3 [9,1,4,7,2,5,8,3,6]=>[1,9,6,3,8,5,2,7,4]=>[2,1,2,1,2,1]=>101101101=>6 [9,2,6,3,7,4,8,1,5]=>[1,8,4,7,3,6,2,9,5]=>[2,2,2,2,1]=>101010101=>8 [9,1,6,3,8,5,2,7,4]=>[1,9,4,7,2,5,8,3,6]=>[2,2,3,2]=>101010010=>7 [9,2,7,5,3,8,1,6,4]=>[1,8,3,5,7,2,9,4,6]=>[2,3,2,2]=>101001010=>7 [9,2,8,1,7,4,5,6,3]=>[1,8,2,9,3,6,5,4,7]=>[2,2,2,1,2]=>101010110=>7 [2,6,7,1,5,4,3,8]=>[7,3,2,8,4,5,6,1]=>[1,1,2,3,1]=>11101001=>4 [8,7,6,1,3,9,5,4,2]=>[2,3,4,9,7,1,5,6,8]=>[4,1,4]=>100011000=>3 [9,4,8,7,6,5,3,2,1]=>[1,6,2,3,4,5,7,8,9]=>[2,7]=>101000000=>3 [7,8,3,2,9,6,5,1,4]=>[3,2,7,8,1,4,5,9,6]=>[1,3,4,1]=>110010001=>4 [2,4,3,6,7,1,8,5]=>[7,5,6,3,2,8,1,4]=>[1,2,1,2,2]=>11011010=>5 [1,2,7,4,5,6,3,8,9]=>[9,8,3,6,5,4,7,2,1]=>[1,1,2,1,2,1,1]=>111011011=>4 [3,9,4,8,1,7,2,6,5]=>[7,1,6,2,9,3,8,4,5]=>[1,2,2,2,2]=>110101010=>7 [5,4,6,3,9,2,8,1,7]=>[5,6,4,7,1,8,2,9,3]=>[2,2,2,2,1]=>101010101=>8 [7,8,9,6,5,4,3,1,2]=>[3,2,1,4,5,6,7,9,8]=>[1,1,6,1]=>111000001=>2 [2,7,1,3,5,4,6,8]=>[7,2,8,6,4,5,3,1]=>[1,2,1,2,1,1]=>11011011=>4 [8,2,7,6,5,4,3,1,9]=>[2,8,3,4,5,6,7,9,1]=>[2,6,1]=>101000001=>4 [1,7,5,2,4,6,8,3]=>[8,2,4,7,5,3,1,6]=>[1,3,1,1,2]=>11001110=>3 [9,7,5,8,6,4,3,2,1]=>[1,3,5,2,4,6,7,8,9]=>[3,6]=>100100000=>3 [5,6,1,3,8,4,2,7]=>[4,3,8,6,1,5,7,2]=>[1,2,1,3,1]=>11011001=>4 [5,6,7,1,3,4,2,8]=>[4,3,2,8,6,5,7,1]=>[1,1,2,1,2,1]=>11101101=>4 [2,6,9,8,1,7,5,4,3]=>[8,4,1,2,9,3,5,6,7]=>[1,1,3,4]=>111001000=>3 [7,6,5,1,9,8,4,3,2]=>[3,4,5,9,1,2,6,7,8]=>[4,5]=>100010000=>3 [8,7,5,1,6,4,3,2,9]=>[2,3,5,9,4,6,7,8,1]=>[4,4,1]=>100010001=>4 [3,7,2,1,4,6,5,8]=>[6,2,7,8,5,3,4,1]=>[1,3,1,2,1]=>11001101=>4 [6,5,4,9,8,7,2,3,1]=>[4,5,6,1,2,3,8,7,9]=>[3,4,2]=>100100010=>5 [6,8,5,9,7,2,1,4,3]=>[4,2,5,1,3,8,9,6,7]=>[1,2,4,2]=>110100010=>5 [5,4,9,8,7,6,3,2,1]=>[5,6,1,2,3,4,7,8,9]=>[2,7]=>101000000=>3 [9,8,7,6,4,3,1,5,2]=>[1,2,3,4,6,7,9,5,8]=>[7,2]=>100000010=>3 [5,4,3,2,9,8,6,7,1]=>[5,6,7,8,1,2,4,3,9]=>[4,3,2]=>100010010=>5 [6,1,7,5,3,4,2,8]=>[3,8,2,4,6,5,7,1]=>[2,3,2,1]=>10100101=>6 [2,6,3,7,4,8,1,5,9]=>[8,4,7,3,6,2,9,5,1]=>[1,2,2,2,1,1]=>110101011=>6 [2,7,5,3,8,1,6,4,9]=>[8,3,5,7,2,9,4,6,1]=>[1,3,2,2,1]=>110010101=>6 [2,8,1,7,4,5,6,3,9]=>[8,2,9,3,6,5,4,7,1]=>[1,2,2,1,2,1]=>110101101=>6 [8,5,4,3,2,1,9,6,7]=>[2,5,6,7,8,9,1,4,3]=>[6,2,1]=>100000101=>4 [9,8,1,7,2,6,3,4,5]=>[1,2,9,3,8,4,7,6,5]=>[3,2,2,1,1]=>100101011=>6 [9,2,8,1,7,3,6,4,5]=>[1,8,2,9,3,7,4,6,5]=>[2,2,2,2,1]=>101010101=>8 [8,4,9,6,1,7,5,3,2]=>[2,6,1,4,9,3,5,7,8]=>[2,3,4]=>101001000=>5