=>

0=>[1] 1=>[1] 00=>[1,2] 01=>[1,2] 10=>[2,1] 11=>[1,2] 000=>[1,2,3] 001=>[1,2,3] 010=>[1,3,2] 011=>[1,2,3] 100=>[3,1,2] 101=>[2,1,3] 110=>[2,3,1] 111=>[1,2,3] 0000=>[1,2,3,4] 0001=>[1,2,3,4] 0010=>[1,2,4,3] 0011=>[1,2,3,4] 0100=>[1,4,2,3] 0101=>[1,3,2,4] 0110=>[1,3,4,2] 0111=>[1,2,3,4] 1000=>[4,1,2,3] 1001=>[3,1,2,4] 1010=>[3,1,4,2] 1011=>[2,1,3,4] 1100=>[3,4,1,2] 1101=>[2,3,1,4] 1110=>[2,3,4,1] 1111=>[1,2,3,4] 00000=>[1,2,3,4,5] 00001=>[1,2,3,4,5] 00010=>[1,2,3,5,4] 00011=>[1,2,3,4,5] 00100=>[1,2,5,3,4] 00101=>[1,2,4,3,5] 00110=>[1,2,4,5,3] 00111=>[1,2,3,4,5] 01000=>[1,5,2,3,4] 01001=>[1,4,2,3,5] 01010=>[1,4,2,5,3] 01011=>[1,3,2,4,5] 01100=>[1,4,5,2,3] 01101=>[1,3,4,2,5] 01110=>[1,3,4,5,2] 01111=>[1,2,3,4,5] 10000=>[5,1,2,3,4] 10001=>[4,1,2,3,5] 10010=>[4,1,2,5,3] 10011=>[3,1,2,4,5] 10100=>[4,1,5,2,3] 10101=>[3,1,4,2,5] 10110=>[3,1,4,5,2] 10111=>[2,1,3,4,5] 11000=>[4,5,1,2,3] 11001=>[3,4,1,2,5] 11010=>[3,4,1,5,2] 11011=>[2,3,1,4,5] 11100=>[3,4,5,1,2] 11101=>[2,3,4,1,5] 11110=>[2,3,4,5,1] 11111=>[1,2,3,4,5] 000000=>[1,2,3,4,5,6] 000001=>[1,2,3,4,5,6] 000010=>[1,2,3,4,6,5] 000011=>[1,2,3,4,5,6] 000100=>[1,2,3,6,4,5] 000101=>[1,2,3,5,4,6] 000110=>[1,2,3,5,6,4] 000111=>[1,2,3,4,5,6] 001000=>[1,2,6,3,4,5] 001001=>[1,2,5,3,4,6] 001010=>[1,2,5,3,6,4] 001011=>[1,2,4,3,5,6] 001100=>[1,2,5,6,3,4] 001101=>[1,2,4,5,3,6] 001110=>[1,2,4,5,6,3] 001111=>[1,2,3,4,5,6] 010000=>[1,6,2,3,4,5] 010001=>[1,5,2,3,4,6] 010010=>[1,5,2,3,6,4] 010011=>[1,4,2,3,5,6] 010100=>[1,5,2,6,3,4] 010101=>[1,4,2,5,3,6] 010110=>[1,4,2,5,6,3] 010111=>[1,3,2,4,5,6] 011000=>[1,5,6,2,3,4] 011001=>[1,4,5,2,3,6] 011010=>[1,4,5,2,6,3] 011011=>[1,3,4,2,5,6] 011100=>[1,4,5,6,2,3] 011101=>[1,3,4,5,2,6] 011110=>[1,3,4,5,6,2] 011111=>[1,2,3,4,5,6] 100000=>[6,1,2,3,4,5] 100001=>[5,1,2,3,4,6] 100010=>[5,1,2,3,6,4] 100011=>[4,1,2,3,5,6] 100100=>[5,1,2,6,3,4] 100101=>[4,1,2,5,3,6] 100110=>[4,1,2,5,6,3] 100111=>[3,1,2,4,5,6] 101000=>[5,1,6,2,3,4] 101001=>[4,1,5,2,3,6] 101010=>[4,1,5,2,6,3] 101011=>[3,1,4,2,5,6] 101100=>[4,1,5,6,2,3] 101101=>[3,1,4,5,2,6] 101110=>[3,1,4,5,6,2] 101111=>[2,1,3,4,5,6] 110000=>[5,6,1,2,3,4] 110001=>[4,5,1,2,3,6] 110010=>[4,5,1,2,6,3] 110011=>[3,4,1,2,5,6] 110100=>[4,5,1,6,2,3] 110101=>[3,4,1,5,2,6] 110110=>[3,4,1,5,6,2] 110111=>[2,3,1,4,5,6] 111000=>[4,5,6,1,2,3] 111001=>[3,4,5,1,2,6] 111010=>[3,4,5,1,6,2] 111011=>[2,3,4,1,5,6] 111100=>[3,4,5,6,1,2] 111101=>[2,3,4,5,1,6] 111110=>[2,3,4,5,6,1] 111111=>[1,2,3,4,5,6] 0000000=>[1,2,3,4,5,6,7] 0000001=>[1,2,3,4,5,6,7] 0000010=>[1,2,3,4,5,7,6] 0000011=>[1,2,3,4,5,6,7] 0000100=>[1,2,3,4,7,5,6] 0000101=>[1,2,3,4,6,5,7] 0000110=>[1,2,3,4,6,7,5] 0000111=>[1,2,3,4,5,6,7] 0001000=>[1,2,3,7,4,5,6] 0001001=>[1,2,3,6,4,5,7] 0001010=>[1,2,3,6,4,7,5] 0001011=>[1,2,3,5,4,6,7] 0001100=>[1,2,3,6,7,4,5] 0001101=>[1,2,3,5,6,4,7] 0001110=>[1,2,3,5,6,7,4] 0001111=>[1,2,3,4,5,6,7] 0010000=>[1,2,7,3,4,5,6] 0010001=>[1,2,6,3,4,5,7] 0010010=>[1,2,6,3,4,7,5] 0010011=>[1,2,5,3,4,6,7] 0010100=>[1,2,6,3,7,4,5] 0010101=>[1,2,5,3,6,4,7] 0010110=>[1,2,5,3,6,7,4] 0010111=>[1,2,4,3,5,6,7] 0011000=>[1,2,6,7,3,4,5] 0011001=>[1,2,5,6,3,4,7] 0011010=>[1,2,5,6,3,7,4] 0011011=>[1,2,4,5,3,6,7] 0011100=>[1,2,5,6,7,3,4] 0011101=>[1,2,4,5,6,3,7] 0011110=>[1,2,4,5,6,7,3] 0011111=>[1,2,3,4,5,6,7] 0100000=>[1,7,2,3,4,5,6] 0100001=>[1,6,2,3,4,5,7] 0100010=>[1,6,2,3,4,7,5] 0100011=>[1,5,2,3,4,6,7] 0100100=>[1,6,2,3,7,4,5] 0100101=>[1,5,2,3,6,4,7] 0100110=>[1,5,2,3,6,7,4] 0100111=>[1,4,2,3,5,6,7] 0101000=>[1,6,2,7,3,4,5] 0101001=>[1,5,2,6,3,4,7] 0101010=>[1,5,2,6,3,7,4] 0101011=>[1,4,2,5,3,6,7] 0101100=>[1,5,2,6,7,3,4] 0101101=>[1,4,2,5,6,3,7] 0101110=>[1,4,2,5,6,7,3] 0101111=>[1,3,2,4,5,6,7] 0110000=>[1,6,7,2,3,4,5] 0110001=>[1,5,6,2,3,4,7] 0110010=>[1,5,6,2,3,7,4] 0110011=>[1,4,5,2,3,6,7] 0110100=>[1,5,6,2,7,3,4] 0110101=>[1,4,5,2,6,3,7] 0110110=>[1,4,5,2,6,7,3] 0110111=>[1,3,4,2,5,6,7] 0111000=>[1,5,6,7,2,3,4] 0111001=>[1,4,5,6,2,3,7] 0111010=>[1,4,5,6,2,7,3] 0111011=>[1,3,4,5,2,6,7] 0111100=>[1,4,5,6,7,2,3] 0111101=>[1,3,4,5,6,2,7] 0111110=>[1,3,4,5,6,7,2] 0111111=>[1,2,3,4,5,6,7] 1000000=>[7,1,2,3,4,5,6] 1000001=>[6,1,2,3,4,5,7] 1000010=>[6,1,2,3,4,7,5] 1000011=>[5,1,2,3,4,6,7] 1000100=>[6,1,2,3,7,4,5] 1000101=>[5,1,2,3,6,4,7] 1000110=>[5,1,2,3,6,7,4] 1000111=>[4,1,2,3,5,6,7] 1001000=>[6,1,2,7,3,4,5] 1001001=>[5,1,2,6,3,4,7] 1001010=>[5,1,2,6,3,7,4] 1001011=>[4,1,2,5,3,6,7] 1001100=>[5,1,2,6,7,3,4] 1001101=>[4,1,2,5,6,3,7] 1001110=>[4,1,2,5,6,7,3] 1001111=>[3,1,2,4,5,6,7] 1010000=>[6,1,7,2,3,4,5] 1010001=>[5,1,6,2,3,4,7] 1010010=>[5,1,6,2,3,7,4] 1010011=>[4,1,5,2,3,6,7] 1010100=>[5,1,6,2,7,3,4] 1010101=>[4,1,5,2,6,3,7] 1010110=>[4,1,5,2,6,7,3] 1010111=>[3,1,4,2,5,6,7] 1011000=>[5,1,6,7,2,3,4] 1011001=>[4,1,5,6,2,3,7] 1011010=>[4,1,5,6,2,7,3] 1011011=>[3,1,4,5,2,6,7] 1011100=>[4,1,5,6,7,2,3] 1011101=>[3,1,4,5,6,2,7] 1011110=>[3,1,4,5,6,7,2] 1011111=>[2,1,3,4,5,6,7] 1100000=>[6,7,1,2,3,4,5] 1100001=>[5,6,1,2,3,4,7] 1100010=>[5,6,1,2,3,7,4] 1100011=>[4,5,1,2,3,6,7] 1100100=>[5,6,1,2,7,3,4] 1100101=>[4,5,1,2,6,3,7] 1100110=>[4,5,1,2,6,7,3] 1100111=>[3,4,1,2,5,6,7] 1101000=>[5,6,1,7,2,3,4] 1101001=>[4,5,1,6,2,3,7] 1101010=>[4,5,1,6,2,7,3] 1101011=>[3,4,1,5,2,6,7] 1101100=>[4,5,1,6,7,2,3] 1101101=>[3,4,1,5,6,2,7] 1101110=>[3,4,1,5,6,7,2] 1101111=>[2,3,1,4,5,6,7] 1110000=>[5,6,7,1,2,3,4] 1110001=>[4,5,6,1,2,3,7] 1110010=>[4,5,6,1,2,7,3] 1110011=>[3,4,5,1,2,6,7] 1110100=>[4,5,6,1,7,2,3] 1110101=>[3,4,5,1,6,2,7] 1110110=>[3,4,5,1,6,7,2] 1110111=>[2,3,4,1,5,6,7] 1111000=>[4,5,6,7,1,2,3] 1111001=>[3,4,5,6,1,2,7] 1111010=>[3,4,5,6,1,7,2] 1111011=>[2,3,4,5,1,6,7] 1111100=>[3,4,5,6,7,1,2] 1111101=>[2,3,4,5,6,1,7] 1111110=>[2,3,4,5,6,7,1] 1111111=>[1,2,3,4,5,6,7] 00000000=>[1,2,3,4,5,6,7,8] 00000001=>[1,2,3,4,5,6,7,8] 00000010=>[1,2,3,4,5,6,8,7] 00000011=>[1,2,3,4,5,6,7,8] 00000100=>[1,2,3,4,5,8,6,7] 00000101=>[1,2,3,4,5,7,6,8] 00000110=>[1,2,3,4,5,7,8,6] 00000111=>[1,2,3,4,5,6,7,8] 00001000=>[1,2,3,4,8,5,6,7] 00001001=>[1,2,3,4,7,5,6,8] 00001010=>[1,2,3,4,7,5,8,6] 00001011=>[1,2,3,4,6,5,7,8] 00001100=>[1,2,3,4,7,8,5,6] 00001101=>[1,2,3,4,6,7,5,8] 00001110=>[1,2,3,4,6,7,8,5] 00001111=>[1,2,3,4,5,6,7,8] 00010000=>[1,2,3,8,4,5,6,7] 00010001=>[1,2,3,7,4,5,6,8] 00010010=>[1,2,3,7,4,5,8,6] 00010011=>[1,2,3,6,4,5,7,8] 00010100=>[1,2,3,7,4,8,5,6] 00010101=>[1,2,3,6,4,7,5,8] 00010110=>[1,2,3,6,4,7,8,5] 00010111=>[1,2,3,5,4,6,7,8] 00011000=>[1,2,3,7,8,4,5,6] 00011001=>[1,2,3,6,7,4,5,8] 00011010=>[1,2,3,6,7,4,8,5] 00011011=>[1,2,3,5,6,4,7,8] 00011100=>[1,2,3,6,7,8,4,5] 00011101=>[1,2,3,5,6,7,4,8] 00011110=>[1,2,3,5,6,7,8,4] 00011111=>[1,2,3,4,5,6,7,8] 00100000=>[1,2,8,3,4,5,6,7] 00100001=>[1,2,7,3,4,5,6,8] 00100010=>[1,2,7,3,4,5,8,6] 00100011=>[1,2,6,3,4,5,7,8] 00100100=>[1,2,7,3,4,8,5,6] 00100101=>[1,2,6,3,4,7,5,8] 00100110=>[1,2,6,3,4,7,8,5] 00100111=>[1,2,5,3,4,6,7,8] 00101000=>[1,2,7,3,8,4,5,6] 00101001=>[1,2,6,3,7,4,5,8] 00101010=>[1,2,6,3,7,4,8,5] 00101011=>[1,2,5,3,6,4,7,8] 00101100=>[1,2,6,3,7,8,4,5] 00101101=>[1,2,5,3,6,7,4,8] 00101110=>[1,2,5,3,6,7,8,4] 00101111=>[1,2,4,3,5,6,7,8] 00110000=>[1,2,7,8,3,4,5,6] 00110001=>[1,2,6,7,3,4,5,8] 00110010=>[1,2,6,7,3,4,8,5] 00110011=>[1,2,5,6,3,4,7,8] 00110100=>[1,2,6,7,3,8,4,5] 00110101=>[1,2,5,6,3,7,4,8] 00110110=>[1,2,5,6,3,7,8,4] 00110111=>[1,2,4,5,3,6,7,8] 00111000=>[1,2,6,7,8,3,4,5] 00111001=>[1,2,5,6,7,3,4,8] 00111010=>[1,2,5,6,7,3,8,4] 00111011=>[1,2,4,5,6,3,7,8] 00111100=>[1,2,5,6,7,8,3,4] 00111101=>[1,2,4,5,6,7,3,8] 00111110=>[1,2,4,5,6,7,8,3] 00111111=>[1,2,3,4,5,6,7,8] 01000000=>[1,8,2,3,4,5,6,7] 01000001=>[1,7,2,3,4,5,6,8] 01000010=>[1,7,2,3,4,5,8,6] 01000011=>[1,6,2,3,4,5,7,8] 01000100=>[1,7,2,3,4,8,5,6] 01000101=>[1,6,2,3,4,7,5,8] 01000110=>[1,6,2,3,4,7,8,5] 01000111=>[1,5,2,3,4,6,7,8] 01001000=>[1,7,2,3,8,4,5,6] 01001001=>[1,6,2,3,7,4,5,8] 01001010=>[1,6,2,3,7,4,8,5] 01001011=>[1,5,2,3,6,4,7,8] 01001100=>[1,6,2,3,7,8,4,5] 01001101=>[1,5,2,3,6,7,4,8] 01001110=>[1,5,2,3,6,7,8,4] 01001111=>[1,4,2,3,5,6,7,8] 01010000=>[1,7,2,8,3,4,5,6] 01010001=>[1,6,2,7,3,4,5,8] 01010010=>[1,6,2,7,3,4,8,5] 01010011=>[1,5,2,6,3,4,7,8] 01010100=>[1,6,2,7,3,8,4,5] 01010101=>[1,5,2,6,3,7,4,8] 01010110=>[1,5,2,6,3,7,8,4] 01010111=>[1,4,2,5,3,6,7,8] 01011000=>[1,6,2,7,8,3,4,5] 01011001=>[1,5,2,6,7,3,4,8] 01011010=>[1,5,2,6,7,3,8,4] 01011011=>[1,4,2,5,6,3,7,8] 01011100=>[1,5,2,6,7,8,3,4] 01011101=>[1,4,2,5,6,7,3,8] 01011110=>[1,4,2,5,6,7,8,3] 01011111=>[1,3,2,4,5,6,7,8] 01100000=>[1,7,8,2,3,4,5,6] 01100001=>[1,6,7,2,3,4,5,8] 01100010=>[1,6,7,2,3,4,8,5] 01100011=>[1,5,6,2,3,4,7,8] 01100100=>[1,6,7,2,3,8,4,5] 01100101=>[1,5,6,2,3,7,4,8] 01100110=>[1,5,6,2,3,7,8,4] 01100111=>[1,4,5,2,3,6,7,8] 01101000=>[1,6,7,2,8,3,4,5] 01101001=>[1,5,6,2,7,3,4,8] 01101010=>[1,5,6,2,7,3,8,4] 01101011=>[1,4,5,2,6,3,7,8] 01101100=>[1,5,6,2,7,8,3,4] 01101101=>[1,4,5,2,6,7,3,8] 01101110=>[1,4,5,2,6,7,8,3] 01101111=>[1,3,4,2,5,6,7,8] 01110000=>[1,6,7,8,2,3,4,5] 01110001=>[1,5,6,7,2,3,4,8] 01110010=>[1,5,6,7,2,3,8,4] 01110011=>[1,4,5,6,2,3,7,8] 01110100=>[1,5,6,7,2,8,3,4] 01110101=>[1,4,5,6,2,7,3,8] 01110110=>[1,4,5,6,2,7,8,3] 01110111=>[1,3,4,5,2,6,7,8] 01111000=>[1,5,6,7,8,2,3,4] 01111001=>[1,4,5,6,7,2,3,8] 01111010=>[1,4,5,6,7,2,8,3] 01111011=>[1,3,4,5,6,2,7,8] 01111100=>[1,4,5,6,7,8,2,3] 01111101=>[1,3,4,5,6,7,2,8] 01111110=>[1,3,4,5,6,7,8,2] 01111111=>[1,2,3,4,5,6,7,8] 10000000=>[8,1,2,3,4,5,6,7] 10000001=>[7,1,2,3,4,5,6,8] 10000010=>[7,1,2,3,4,5,8,6] 10000011=>[6,1,2,3,4,5,7,8] 10000100=>[7,1,2,3,4,8,5,6] 10000101=>[6,1,2,3,4,7,5,8] 10000110=>[6,1,2,3,4,7,8,5] 10000111=>[5,1,2,3,4,6,7,8] 10001000=>[7,1,2,3,8,4,5,6] 10001001=>[6,1,2,3,7,4,5,8] 10001010=>[6,1,2,3,7,4,8,5] 10001011=>[5,1,2,3,6,4,7,8] 10001100=>[6,1,2,3,7,8,4,5] 10001101=>[5,1,2,3,6,7,4,8] 10001110=>[5,1,2,3,6,7,8,4] 10001111=>[4,1,2,3,5,6,7,8] 10010000=>[7,1,2,8,3,4,5,6] 10010001=>[6,1,2,7,3,4,5,8] 10010010=>[6,1,2,7,3,4,8,5] 10010011=>[5,1,2,6,3,4,7,8] 10010100=>[6,1,2,7,3,8,4,5] 10010101=>[5,1,2,6,3,7,4,8] 10010110=>[5,1,2,6,3,7,8,4] 10010111=>[4,1,2,5,3,6,7,8] 10011000=>[6,1,2,7,8,3,4,5] 10011001=>[5,1,2,6,7,3,4,8] 10011010=>[5,1,2,6,7,3,8,4] 10011011=>[4,1,2,5,6,3,7,8] 10011100=>[5,1,2,6,7,8,3,4] 10011101=>[4,1,2,5,6,7,3,8] 10011110=>[4,1,2,5,6,7,8,3] 10011111=>[3,1,2,4,5,6,7,8] 10100000=>[7,1,8,2,3,4,5,6] 10100001=>[6,1,7,2,3,4,5,8] 10100010=>[6,1,7,2,3,4,8,5] 10100011=>[5,1,6,2,3,4,7,8] 10100100=>[6,1,7,2,3,8,4,5] 10100101=>[5,1,6,2,3,7,4,8] 10100110=>[5,1,6,2,3,7,8,4] 10100111=>[4,1,5,2,3,6,7,8] 10101000=>[6,1,7,2,8,3,4,5] 10101001=>[5,1,6,2,7,3,4,8] 10101010=>[5,1,6,2,7,3,8,4] 10101011=>[4,1,5,2,6,3,7,8] 10101100=>[5,1,6,2,7,8,3,4] 10101101=>[4,1,5,2,6,7,3,8] 10101110=>[4,1,5,2,6,7,8,3] 10101111=>[3,1,4,2,5,6,7,8] 10110000=>[6,1,7,8,2,3,4,5] 10110001=>[5,1,6,7,2,3,4,8] 10110010=>[5,1,6,7,2,3,8,4] 10110011=>[4,1,5,6,2,3,7,8] 10110100=>[5,1,6,7,2,8,3,4] 10110101=>[4,1,5,6,2,7,3,8] 10110110=>[4,1,5,6,2,7,8,3] 10110111=>[3,1,4,5,2,6,7,8] 10111000=>[5,1,6,7,8,2,3,4] 10111001=>[4,1,5,6,7,2,3,8] 10111010=>[4,1,5,6,7,2,8,3] 10111011=>[3,1,4,5,6,2,7,8] 10111100=>[4,1,5,6,7,8,2,3] 10111101=>[3,1,4,5,6,7,2,8] 10111110=>[3,1,4,5,6,7,8,2] 10111111=>[2,1,3,4,5,6,7,8] 11000000=>[7,8,1,2,3,4,5,6] 11000001=>[6,7,1,2,3,4,5,8] 11000010=>[6,7,1,2,3,4,8,5] 11000011=>[5,6,1,2,3,4,7,8] 11000100=>[6,7,1,2,3,8,4,5] 11000101=>[5,6,1,2,3,7,4,8] 11000110=>[5,6,1,2,3,7,8,4] 11000111=>[4,5,1,2,3,6,7,8] 11001000=>[6,7,1,2,8,3,4,5] 11001001=>[5,6,1,2,7,3,4,8] 11001010=>[5,6,1,2,7,3,8,4] 11001011=>[4,5,1,2,6,3,7,8] 11001100=>[5,6,1,2,7,8,3,4] 11001101=>[4,5,1,2,6,7,3,8] 11001110=>[4,5,1,2,6,7,8,3] 11001111=>[3,4,1,2,5,6,7,8] 11010000=>[6,7,1,8,2,3,4,5] 11010001=>[5,6,1,7,2,3,4,8] 11010010=>[5,6,1,7,2,3,8,4] 11010011=>[4,5,1,6,2,3,7,8] 11010100=>[5,6,1,7,2,8,3,4] 11010101=>[4,5,1,6,2,7,3,8] 11010110=>[4,5,1,6,2,7,8,3] 11010111=>[3,4,1,5,2,6,7,8] 11011000=>[5,6,1,7,8,2,3,4] 11011001=>[4,5,1,6,7,2,3,8] 11011010=>[4,5,1,6,7,2,8,3] 11011011=>[3,4,1,5,6,2,7,8] 11011100=>[4,5,1,6,7,8,2,3] 11011101=>[3,4,1,5,6,7,2,8] 11011110=>[3,4,1,5,6,7,8,2] 11011111=>[2,3,1,4,5,6,7,8] 11100000=>[6,7,8,1,2,3,4,5] 11100001=>[5,6,7,1,2,3,4,8] 11100010=>[5,6,7,1,2,3,8,4] 11100011=>[4,5,6,1,2,3,7,8] 11100100=>[5,6,7,1,2,8,3,4] 11100101=>[4,5,6,1,2,7,3,8] 11100110=>[4,5,6,1,2,7,8,3] 11100111=>[3,4,5,1,2,6,7,8] 11101000=>[5,6,7,1,8,2,3,4] 11101001=>[4,5,6,1,7,2,3,8] 11101010=>[4,5,6,1,7,2,8,3] 11101011=>[3,4,5,1,6,2,7,8] 11101100=>[4,5,6,1,7,8,2,3] 11101101=>[3,4,5,1,6,7,2,8] 11101110=>[3,4,5,1,6,7,8,2] 11101111=>[2,3,4,1,5,6,7,8] 11110000=>[5,6,7,8,1,2,3,4] 11110001=>[4,5,6,7,1,2,3,8] 11110010=>[4,5,6,7,1,2,8,3] 11110011=>[3,4,5,6,1,2,7,8] 11110100=>[4,5,6,7,1,8,2,3] 11110101=>[3,4,5,6,1,7,2,8] 11110110=>[3,4,5,6,1,7,8,2] 11110111=>[2,3,4,5,1,6,7,8] 11111000=>[4,5,6,7,8,1,2,3] 11111001=>[3,4,5,6,7,1,2,8] 11111010=>[3,4,5,6,7,1,8,2] 11111011=>[2,3,4,5,6,1,7,8] 11111100=>[3,4,5,6,7,8,1,2] 11111101=>[2,3,4,5,6,7,1,8] 11111110=>[2,3,4,5,6,7,8,1] 11111111=>[1,2,3,4,5,6,7,8] 000000000=>[1,2,3,4,5,6,7,8,9] 000000001=>[1,2,3,4,5,6,7,8,9] 000000010=>[1,2,3,4,5,6,7,9,8] 000000011=>[1,2,3,4,5,6,7,8,9] 000000100=>[1,2,3,4,5,6,9,7,8] 000000101=>[1,2,3,4,5,6,8,7,9] 000000110=>[1,2,3,4,5,6,8,9,7] 000000111=>[1,2,3,4,5,6,7,8,9] 000001000=>[1,2,3,4,5,9,6,7,8] 000001001=>[1,2,3,4,5,8,6,7,9] 000001010=>[1,2,3,4,5,8,6,9,7] 000001011=>[1,2,3,4,5,7,6,8,9] 000001100=>[1,2,3,4,5,8,9,6,7] 000001101=>[1,2,3,4,5,7,8,6,9] 000001110=>[1,2,3,4,5,7,8,9,6] 000001111=>[1,2,3,4,5,6,7,8,9] 000010000=>[1,2,3,4,9,5,6,7,8] 000010001=>[1,2,3,4,8,5,6,7,9] 000010010=>[1,2,3,4,8,5,6,9,7] 000010011=>[1,2,3,4,7,5,6,8,9] 000010100=>[1,2,3,4,8,5,9,6,7] 000010101=>[1,2,3,4,7,5,8,6,9] 000010110=>[1,2,3,4,7,5,8,9,6] 000010111=>[1,2,3,4,6,5,7,8,9] 000011000=>[1,2,3,4,8,9,5,6,7] 000011001=>[1,2,3,4,7,8,5,6,9] 000011010=>[1,2,3,4,7,8,5,9,6] 000011011=>[1,2,3,4,6,7,5,8,9] 000011100=>[1,2,3,4,7,8,9,5,6] 000011101=>[1,2,3,4,6,7,8,5,9] 000011110=>[1,2,3,4,6,7,8,9,5] 000011111=>[1,2,3,4,5,6,7,8,9] 000100000=>[1,2,3,9,4,5,6,7,8] 000100001=>[1,2,3,8,4,5,6,7,9] 000100010=>[1,2,3,8,4,5,6,9,7] 000100011=>[1,2,3,7,4,5,6,8,9] 000100100=>[1,2,3,8,4,5,9,6,7] 000100101=>[1,2,3,7,4,5,8,6,9] 000100110=>[1,2,3,7,4,5,8,9,6] 000100111=>[1,2,3,6,4,5,7,8,9] 000101000=>[1,2,3,8,4,9,5,6,7] 000101001=>[1,2,3,7,4,8,5,6,9] 000101010=>[1,2,3,7,4,8,5,9,6] 000101011=>[1,2,3,6,4,7,5,8,9] 000101100=>[1,2,3,7,4,8,9,5,6] 000101101=>[1,2,3,6,4,7,8,5,9] 000101110=>[1,2,3,6,4,7,8,9,5] 000101111=>[1,2,3,5,4,6,7,8,9] 000110000=>[1,2,3,8,9,4,5,6,7] 000110001=>[1,2,3,7,8,4,5,6,9] 000110010=>[1,2,3,7,8,4,5,9,6] 000110011=>[1,2,3,6,7,4,5,8,9] 000110100=>[1,2,3,7,8,4,9,5,6] 000110101=>[1,2,3,6,7,4,8,5,9] 000110110=>[1,2,3,6,7,4,8,9,5] 000110111=>[1,2,3,5,6,4,7,8,9] 000111000=>[1,2,3,7,8,9,4,5,6] 000111001=>[1,2,3,6,7,8,4,5,9] 000111010=>[1,2,3,6,7,8,4,9,5] 000111011=>[1,2,3,5,6,7,4,8,9] 000111100=>[1,2,3,6,7,8,9,4,5] 000111101=>[1,2,3,5,6,7,8,4,9] 000111110=>[1,2,3,5,6,7,8,9,4] 000111111=>[1,2,3,4,5,6,7,8,9] 001000000=>[1,2,9,3,4,5,6,7,8] 001000001=>[1,2,8,3,4,5,6,7,9] 001000010=>[1,2,8,3,4,5,6,9,7] 001000011=>[1,2,7,3,4,5,6,8,9] 001000100=>[1,2,8,3,4,5,9,6,7] 001000101=>[1,2,7,3,4,5,8,6,9] 001000110=>[1,2,7,3,4,5,8,9,6] 001000111=>[1,2,6,3,4,5,7,8,9] 001001000=>[1,2,8,3,4,9,5,6,7] 001001001=>[1,2,7,3,4,8,5,6,9] 001001010=>[1,2,7,3,4,8,5,9,6] 001001011=>[1,2,6,3,4,7,5,8,9] 001001100=>[1,2,7,3,4,8,9,5,6] 001001101=>[1,2,6,3,4,7,8,5,9] 001001110=>[1,2,6,3,4,7,8,9,5] 001001111=>[1,2,5,3,4,6,7,8,9] 001010000=>[1,2,8,3,9,4,5,6,7] 001010001=>[1,2,7,3,8,4,5,6,9] 001010010=>[1,2,7,3,8,4,5,9,6] 001010011=>[1,2,6,3,7,4,5,8,9] 001010100=>[1,2,7,3,8,4,9,5,6] 001010101=>[1,2,6,3,7,4,8,5,9] 001010110=>[1,2,6,3,7,4,8,9,5] 001010111=>[1,2,5,3,6,4,7,8,9] 001011000=>[1,2,7,3,8,9,4,5,6] 001011001=>[1,2,6,3,7,8,4,5,9] 001011010=>[1,2,6,3,7,8,4,9,5] 001011011=>[1,2,5,3,6,7,4,8,9] 001011100=>[1,2,6,3,7,8,9,4,5] 001011101=>[1,2,5,3,6,7,8,4,9] 001011110=>[1,2,5,3,6,7,8,9,4] 001011111=>[1,2,4,3,5,6,7,8,9] 001100000=>[1,2,8,9,3,4,5,6,7] 001100001=>[1,2,7,8,3,4,5,6,9] 001100010=>[1,2,7,8,3,4,5,9,6] 001100011=>[1,2,6,7,3,4,5,8,9] 001100100=>[1,2,7,8,3,4,9,5,6] 001100101=>[1,2,6,7,3,4,8,5,9] 001100110=>[1,2,6,7,3,4,8,9,5] 001100111=>[1,2,5,6,3,4,7,8,9] 001101000=>[1,2,7,8,3,9,4,5,6] 001101001=>[1,2,6,7,3,8,4,5,9] 001101010=>[1,2,6,7,3,8,4,9,5] 001101011=>[1,2,5,6,3,7,4,8,9] 001101100=>[1,2,6,7,3,8,9,4,5] 001101101=>[1,2,5,6,3,7,8,4,9] 001101110=>[1,2,5,6,3,7,8,9,4] 001101111=>[1,2,4,5,3,6,7,8,9] 001110000=>[1,2,7,8,9,3,4,5,6] 001110001=>[1,2,6,7,8,3,4,5,9] 001110010=>[1,2,6,7,8,3,4,9,5] 001110011=>[1,2,5,6,7,3,4,8,9] 001110100=>[1,2,6,7,8,3,9,4,5] 001110101=>[1,2,5,6,7,3,8,4,9] 001110110=>[1,2,5,6,7,3,8,9,4] 001110111=>[1,2,4,5,6,3,7,8,9] 001111000=>[1,2,6,7,8,9,3,4,5] 001111001=>[1,2,5,6,7,8,3,4,9] 001111010=>[1,2,5,6,7,8,3,9,4] 001111011=>[1,2,4,5,6,7,3,8,9] 001111100=>[1,2,5,6,7,8,9,3,4] 001111101=>[1,2,4,5,6,7,8,3,9] 001111110=>[1,2,4,5,6,7,8,9,3] 001111111=>[1,2,3,4,5,6,7,8,9] 010000000=>[1,9,2,3,4,5,6,7,8] 010000001=>[1,8,2,3,4,5,6,7,9] 010000010=>[1,8,2,3,4,5,6,9,7] 010000011=>[1,7,2,3,4,5,6,8,9] 010000100=>[1,8,2,3,4,5,9,6,7] 010000101=>[1,7,2,3,4,5,8,6,9] 010000110=>[1,7,2,3,4,5,8,9,6] 010000111=>[1,6,2,3,4,5,7,8,9] 010001000=>[1,8,2,3,4,9,5,6,7] 010001001=>[1,7,2,3,4,8,5,6,9] 010001010=>[1,7,2,3,4,8,5,9,6] 010001011=>[1,6,2,3,4,7,5,8,9] 010001100=>[1,7,2,3,4,8,9,5,6] 010001101=>[1,6,2,3,4,7,8,5,9] 010001110=>[1,6,2,3,4,7,8,9,5] 010001111=>[1,5,2,3,4,6,7,8,9] 010010000=>[1,8,2,3,9,4,5,6,7] 010010001=>[1,7,2,3,8,4,5,6,9] 010010010=>[1,7,2,3,8,4,5,9,6] 010010011=>[1,6,2,3,7,4,5,8,9] 010010100=>[1,7,2,3,8,4,9,5,6] 010010101=>[1,6,2,3,7,4,8,5,9] 010010110=>[1,6,2,3,7,4,8,9,5] 010010111=>[1,5,2,3,6,4,7,8,9] 010011000=>[1,7,2,3,8,9,4,5,6] 010011001=>[1,6,2,3,7,8,4,5,9] 010011010=>[1,6,2,3,7,8,4,9,5] 010011011=>[1,5,2,3,6,7,4,8,9] 010011100=>[1,6,2,3,7,8,9,4,5] 010011101=>[1,5,2,3,6,7,8,4,9] 010011110=>[1,5,2,3,6,7,8,9,4] 010011111=>[1,4,2,3,5,6,7,8,9] 010100000=>[1,8,2,9,3,4,5,6,7] 010100001=>[1,7,2,8,3,4,5,6,9] 010100010=>[1,7,2,8,3,4,5,9,6] 010100011=>[1,6,2,7,3,4,5,8,9] 010100100=>[1,7,2,8,3,4,9,5,6] 010100101=>[1,6,2,7,3,4,8,5,9] 010100110=>[1,6,2,7,3,4,8,9,5] 010100111=>[1,5,2,6,3,4,7,8,9] 010101000=>[1,7,2,8,3,9,4,5,6] 010101001=>[1,6,2,7,3,8,4,5,9] 010101010=>[1,6,2,7,3,8,4,9,5] 010101011=>[1,5,2,6,3,7,4,8,9] 010101100=>[1,6,2,7,3,8,9,4,5] 010101101=>[1,5,2,6,3,7,8,4,9] 010101110=>[1,5,2,6,3,7,8,9,4] 010101111=>[1,4,2,5,3,6,7,8,9] 010110000=>[1,7,2,8,9,3,4,5,6] 010110001=>[1,6,2,7,8,3,4,5,9] 010110010=>[1,6,2,7,8,3,4,9,5] 010110011=>[1,5,2,6,7,3,4,8,9] 010110100=>[1,6,2,7,8,3,9,4,5] 010110101=>[1,5,2,6,7,3,8,4,9] 010110110=>[1,5,2,6,7,3,8,9,4] 010110111=>[1,4,2,5,6,3,7,8,9] 010111000=>[1,6,2,7,8,9,3,4,5] 010111001=>[1,5,2,6,7,8,3,4,9] 010111010=>[1,5,2,6,7,8,3,9,4] 010111011=>[1,4,2,5,6,7,3,8,9] 010111100=>[1,5,2,6,7,8,9,3,4] 010111101=>[1,4,2,5,6,7,8,3,9] 010111110=>[1,4,2,5,6,7,8,9,3] 010111111=>[1,3,2,4,5,6,7,8,9] 011000000=>[1,8,9,2,3,4,5,6,7] 011000001=>[1,7,8,2,3,4,5,6,9] 011000010=>[1,7,8,2,3,4,5,9,6] 011000011=>[1,6,7,2,3,4,5,8,9] 011000100=>[1,7,8,2,3,4,9,5,6] 011000101=>[1,6,7,2,3,4,8,5,9] 011000110=>[1,6,7,2,3,4,8,9,5] 011000111=>[1,5,6,2,3,4,7,8,9] 011001000=>[1,7,8,2,3,9,4,5,6] 011001001=>[1,6,7,2,3,8,4,5,9] 011001010=>[1,6,7,2,3,8,4,9,5] 011001011=>[1,5,6,2,3,7,4,8,9] 011001100=>[1,6,7,2,3,8,9,4,5] 011001101=>[1,5,6,2,3,7,8,4,9] 011001110=>[1,5,6,2,3,7,8,9,4] 011001111=>[1,4,5,2,3,6,7,8,9] 011010000=>[1,7,8,2,9,3,4,5,6] 011010001=>[1,6,7,2,8,3,4,5,9] 011010010=>[1,6,7,2,8,3,4,9,5] 011010011=>[1,5,6,2,7,3,4,8,9] 011010100=>[1,6,7,2,8,3,9,4,5] 011010101=>[1,5,6,2,7,3,8,4,9] 011010110=>[1,5,6,2,7,3,8,9,4] 011010111=>[1,4,5,2,6,3,7,8,9] 011011000=>[1,6,7,2,8,9,3,4,5] 011011001=>[1,5,6,2,7,8,3,4,9] 011011010=>[1,5,6,2,7,8,3,9,4] 011011011=>[1,4,5,2,6,7,3,8,9] 011011100=>[1,5,6,2,7,8,9,3,4] 011011101=>[1,4,5,2,6,7,8,3,9] 011011110=>[1,4,5,2,6,7,8,9,3] 011011111=>[1,3,4,2,5,6,7,8,9] 011100000=>[1,7,8,9,2,3,4,5,6] 011100001=>[1,6,7,8,2,3,4,5,9] 011100010=>[1,6,7,8,2,3,4,9,5] 011100011=>[1,5,6,7,2,3,4,8,9] 011100100=>[1,6,7,8,2,3,9,4,5] 011100101=>[1,5,6,7,2,3,8,4,9] 011100110=>[1,5,6,7,2,3,8,9,4] 011100111=>[1,4,5,6,2,3,7,8,9] 011101000=>[1,6,7,8,2,9,3,4,5] 011101001=>[1,5,6,7,2,8,3,4,9] 011101010=>[1,5,6,7,2,8,3,9,4] 011101011=>[1,4,5,6,2,7,3,8,9] 011101100=>[1,5,6,7,2,8,9,3,4] 011101101=>[1,4,5,6,2,7,8,3,9] 011101110=>[1,4,5,6,2,7,8,9,3] 011101111=>[1,3,4,5,2,6,7,8,9] 011110000=>[1,6,7,8,9,2,3,4,5] 011110001=>[1,5,6,7,8,2,3,4,9] 011110010=>[1,5,6,7,8,2,3,9,4] 011110011=>[1,4,5,6,7,2,3,8,9] 011110100=>[1,5,6,7,8,2,9,3,4] 011110101=>[1,4,5,6,7,2,8,3,9] 011110110=>[1,4,5,6,7,2,8,9,3] 011110111=>[1,3,4,5,6,2,7,8,9] 011111000=>[1,5,6,7,8,9,2,3,4] 011111001=>[1,4,5,6,7,8,2,3,9] 011111010=>[1,4,5,6,7,8,2,9,3] 011111011=>[1,3,4,5,6,7,2,8,9] 011111100=>[1,4,5,6,7,8,9,2,3] 011111101=>[1,3,4,5,6,7,8,2,9] 011111110=>[1,3,4,5,6,7,8,9,2] 011111111=>[1,2,3,4,5,6,7,8,9] 100000000=>[9,1,2,3,4,5,6,7,8] 100000001=>[8,1,2,3,4,5,6,7,9] 100000010=>[8,1,2,3,4,5,6,9,7] 100000011=>[7,1,2,3,4,5,6,8,9] 100000100=>[8,1,2,3,4,5,9,6,7] 100000101=>[7,1,2,3,4,5,8,6,9] 100000110=>[7,1,2,3,4,5,8,9,6] 100000111=>[6,1,2,3,4,5,7,8,9] 100001000=>[8,1,2,3,4,9,5,6,7] 100001001=>[7,1,2,3,4,8,5,6,9] 100001010=>[7,1,2,3,4,8,5,9,6] 100001011=>[6,1,2,3,4,7,5,8,9] 100001100=>[7,1,2,3,4,8,9,5,6] 100001101=>[6,1,2,3,4,7,8,5,9] 100001110=>[6,1,2,3,4,7,8,9,5] 100001111=>[5,1,2,3,4,6,7,8,9] 100010000=>[8,1,2,3,9,4,5,6,7] 100010001=>[7,1,2,3,8,4,5,6,9] 100010010=>[7,1,2,3,8,4,5,9,6] 100010011=>[6,1,2,3,7,4,5,8,9] 100010100=>[7,1,2,3,8,4,9,5,6] 100010101=>[6,1,2,3,7,4,8,5,9] 100010110=>[6,1,2,3,7,4,8,9,5] 100010111=>[5,1,2,3,6,4,7,8,9] 100011000=>[7,1,2,3,8,9,4,5,6] 100011001=>[6,1,2,3,7,8,4,5,9] 100011010=>[6,1,2,3,7,8,4,9,5] 100011011=>[5,1,2,3,6,7,4,8,9] 100011100=>[6,1,2,3,7,8,9,4,5] 100011101=>[5,1,2,3,6,7,8,4,9] 100011110=>[5,1,2,3,6,7,8,9,4] 100011111=>[4,1,2,3,5,6,7,8,9] 100100000=>[8,1,2,9,3,4,5,6,7] 100100001=>[7,1,2,8,3,4,5,6,9] 100100010=>[7,1,2,8,3,4,5,9,6] 100100011=>[6,1,2,7,3,4,5,8,9] 100100100=>[7,1,2,8,3,4,9,5,6] 100100101=>[6,1,2,7,3,4,8,5,9] 100100110=>[6,1,2,7,3,4,8,9,5] 100100111=>[5,1,2,6,3,4,7,8,9] 100101000=>[7,1,2,8,3,9,4,5,6] 100101001=>[6,1,2,7,3,8,4,5,9] 100101010=>[6,1,2,7,3,8,4,9,5] 100101011=>[5,1,2,6,3,7,4,8,9] 100101100=>[6,1,2,7,3,8,9,4,5] 100101101=>[5,1,2,6,3,7,8,4,9] 100101110=>[5,1,2,6,3,7,8,9,4] 100101111=>[4,1,2,5,3,6,7,8,9] 100110000=>[7,1,2,8,9,3,4,5,6] 100110001=>[6,1,2,7,8,3,4,5,9] 100110010=>[6,1,2,7,8,3,4,9,5] 100110011=>[5,1,2,6,7,3,4,8,9] 100110100=>[6,1,2,7,8,3,9,4,5] 100110101=>[5,1,2,6,7,3,8,4,9] 100110110=>[5,1,2,6,7,3,8,9,4] 100110111=>[4,1,2,5,6,3,7,8,9] 100111000=>[6,1,2,7,8,9,3,4,5] 100111001=>[5,1,2,6,7,8,3,4,9] 100111010=>[5,1,2,6,7,8,3,9,4] 100111011=>[4,1,2,5,6,7,3,8,9] 100111100=>[5,1,2,6,7,8,9,3,4] 100111101=>[4,1,2,5,6,7,8,3,9] 100111110=>[4,1,2,5,6,7,8,9,3] 100111111=>[3,1,2,4,5,6,7,8,9] 101000000=>[8,1,9,2,3,4,5,6,7] 101000001=>[7,1,8,2,3,4,5,6,9] 101000010=>[7,1,8,2,3,4,5,9,6] 101000011=>[6,1,7,2,3,4,5,8,9] 101000100=>[7,1,8,2,3,4,9,5,6] 101000101=>[6,1,7,2,3,4,8,5,9] 101000110=>[6,1,7,2,3,4,8,9,5] 101000111=>[5,1,6,2,3,4,7,8,9] 101001000=>[7,1,8,2,3,9,4,5,6] 101001001=>[6,1,7,2,3,8,4,5,9] 101001010=>[6,1,7,2,3,8,4,9,5] 101001011=>[5,1,6,2,3,7,4,8,9] 101001100=>[6,1,7,2,3,8,9,4,5] 101001101=>[5,1,6,2,3,7,8,4,9] 101001110=>[5,1,6,2,3,7,8,9,4] 101001111=>[4,1,5,2,3,6,7,8,9] 101010000=>[7,1,8,2,9,3,4,5,6] 101010001=>[6,1,7,2,8,3,4,5,9] 101010010=>[6,1,7,2,8,3,4,9,5] 101010011=>[5,1,6,2,7,3,4,8,9] 101010100=>[6,1,7,2,8,3,9,4,5] 101010101=>[5,1,6,2,7,3,8,4,9] 101010110=>[5,1,6,2,7,3,8,9,4] 101010111=>[4,1,5,2,6,3,7,8,9] 101011000=>[6,1,7,2,8,9,3,4,5] 101011001=>[5,1,6,2,7,8,3,4,9] 101011010=>[5,1,6,2,7,8,3,9,4] 101011011=>[4,1,5,2,6,7,3,8,9] 101011100=>[5,1,6,2,7,8,9,3,4] 101011101=>[4,1,5,2,6,7,8,3,9] 101011110=>[4,1,5,2,6,7,8,9,3] 101011111=>[3,1,4,2,5,6,7,8,9] 101100000=>[7,1,8,9,2,3,4,5,6] 101100001=>[6,1,7,8,2,3,4,5,9] 101100010=>[6,1,7,8,2,3,4,9,5] 101100011=>[5,1,6,7,2,3,4,8,9] 101100100=>[6,1,7,8,2,3,9,4,5] 101100101=>[5,1,6,7,2,3,8,4,9] 101100110=>[5,1,6,7,2,3,8,9,4] 101100111=>[4,1,5,6,2,3,7,8,9] 101101000=>[6,1,7,8,2,9,3,4,5] 101101001=>[5,1,6,7,2,8,3,4,9] 101101010=>[5,1,6,7,2,8,3,9,4] 101101011=>[4,1,5,6,2,7,3,8,9] 101101100=>[5,1,6,7,2,8,9,3,4] 101101101=>[4,1,5,6,2,7,8,3,9] 101101110=>[4,1,5,6,2,7,8,9,3] 101101111=>[3,1,4,5,2,6,7,8,9] 101110000=>[6,1,7,8,9,2,3,4,5] 101110001=>[5,1,6,7,8,2,3,4,9] 101110010=>[5,1,6,7,8,2,3,9,4] 101110011=>[4,1,5,6,7,2,3,8,9] 101110100=>[5,1,6,7,8,2,9,3,4] 101110101=>[4,1,5,6,7,2,8,3,9] 101110110=>[4,1,5,6,7,2,8,9,3] 101110111=>[3,1,4,5,6,2,7,8,9] 101111000=>[5,1,6,7,8,9,2,3,4] 101111001=>[4,1,5,6,7,8,2,3,9] 101111010=>[4,1,5,6,7,8,2,9,3] 101111011=>[3,1,4,5,6,7,2,8,9] 101111100=>[4,1,5,6,7,8,9,2,3] 101111101=>[3,1,4,5,6,7,8,2,9] 101111110=>[3,1,4,5,6,7,8,9,2] 101111111=>[2,1,3,4,5,6,7,8,9] 110000000=>[8,9,1,2,3,4,5,6,7] 110000001=>[7,8,1,2,3,4,5,6,9] 110000010=>[7,8,1,2,3,4,5,9,6] 110000011=>[6,7,1,2,3,4,5,8,9] 110000100=>[7,8,1,2,3,4,9,5,6] 110000101=>[6,7,1,2,3,4,8,5,9] 110000110=>[6,7,1,2,3,4,8,9,5] 110000111=>[5,6,1,2,3,4,7,8,9] 110001000=>[7,8,1,2,3,9,4,5,6] 110001001=>[6,7,1,2,3,8,4,5,9] 110001010=>[6,7,1,2,3,8,4,9,5] 110001011=>[5,6,1,2,3,7,4,8,9] 110001100=>[6,7,1,2,3,8,9,4,5] 110001101=>[5,6,1,2,3,7,8,4,9] 110001110=>[5,6,1,2,3,7,8,9,4] 110001111=>[4,5,1,2,3,6,7,8,9] 110010000=>[7,8,1,2,9,3,4,5,6] 110010001=>[6,7,1,2,8,3,4,5,9] 110010010=>[6,7,1,2,8,3,4,9,5] 110010011=>[5,6,1,2,7,3,4,8,9] 110010100=>[6,7,1,2,8,3,9,4,5] 110010101=>[5,6,1,2,7,3,8,4,9] 110010110=>[5,6,1,2,7,3,8,9,4] 110010111=>[4,5,1,2,6,3,7,8,9] 110011000=>[6,7,1,2,8,9,3,4,5] 110011001=>[5,6,1,2,7,8,3,4,9] 110011010=>[5,6,1,2,7,8,3,9,4] 110011011=>[4,5,1,2,6,7,3,8,9] 110011100=>[5,6,1,2,7,8,9,3,4] 110011101=>[4,5,1,2,6,7,8,3,9] 110011110=>[4,5,1,2,6,7,8,9,3] 110011111=>[3,4,1,2,5,6,7,8,9] 110100000=>[7,8,1,9,2,3,4,5,6] 110100001=>[6,7,1,8,2,3,4,5,9] 110100010=>[6,7,1,8,2,3,4,9,5] 110100011=>[5,6,1,7,2,3,4,8,9] 110100100=>[6,7,1,8,2,3,9,4,5] 110100101=>[5,6,1,7,2,3,8,4,9] 110100110=>[5,6,1,7,2,3,8,9,4] 110100111=>[4,5,1,6,2,3,7,8,9] 110101000=>[6,7,1,8,2,9,3,4,5] 110101001=>[5,6,1,7,2,8,3,4,9] 110101010=>[5,6,1,7,2,8,3,9,4] 110101011=>[4,5,1,6,2,7,3,8,9] 110101100=>[5,6,1,7,2,8,9,3,4] 110101101=>[4,5,1,6,2,7,8,3,9] 110101110=>[4,5,1,6,2,7,8,9,3] 110101111=>[3,4,1,5,2,6,7,8,9] 110110000=>[6,7,1,8,9,2,3,4,5] 110110001=>[5,6,1,7,8,2,3,4,9] 110110010=>[5,6,1,7,8,2,3,9,4] 110110011=>[4,5,1,6,7,2,3,8,9] 110110100=>[5,6,1,7,8,2,9,3,4] 110110101=>[4,5,1,6,7,2,8,3,9] 110110110=>[4,5,1,6,7,2,8,9,3] 110110111=>[3,4,1,5,6,2,7,8,9] 110111000=>[5,6,1,7,8,9,2,3,4] 110111001=>[4,5,1,6,7,8,2,3,9] 110111010=>[4,5,1,6,7,8,2,9,3] 110111011=>[3,4,1,5,6,7,2,8,9] 110111100=>[4,5,1,6,7,8,9,2,3] 110111101=>[3,4,1,5,6,7,8,2,9] 110111110=>[3,4,1,5,6,7,8,9,2] 110111111=>[2,3,1,4,5,6,7,8,9] 111000000=>[7,8,9,1,2,3,4,5,6] 111000001=>[6,7,8,1,2,3,4,5,9] 111000010=>[6,7,8,1,2,3,4,9,5] 111000011=>[5,6,7,1,2,3,4,8,9] 111000100=>[6,7,8,1,2,3,9,4,5] 111000101=>[5,6,7,1,2,3,8,4,9] 111000110=>[5,6,7,1,2,3,8,9,4] 111000111=>[4,5,6,1,2,3,7,8,9] 111001000=>[6,7,8,1,2,9,3,4,5] 111001001=>[5,6,7,1,2,8,3,4,9] 111001010=>[5,6,7,1,2,8,3,9,4] 111001011=>[4,5,6,1,2,7,3,8,9] 111001100=>[5,6,7,1,2,8,9,3,4] 111001101=>[4,5,6,1,2,7,8,3,9] 111001110=>[4,5,6,1,2,7,8,9,3] 111001111=>[3,4,5,1,2,6,7,8,9] 111010000=>[6,7,8,1,9,2,3,4,5] 111010001=>[5,6,7,1,8,2,3,4,9] 111010010=>[5,6,7,1,8,2,3,9,4] 111010011=>[4,5,6,1,7,2,3,8,9] 111010100=>[5,6,7,1,8,2,9,3,4] 111010101=>[4,5,6,1,7,2,8,3,9] 111010110=>[4,5,6,1,7,2,8,9,3] 111010111=>[3,4,5,1,6,2,7,8,9] 111011000=>[5,6,7,1,8,9,2,3,4] 111011001=>[4,5,6,1,7,8,2,3,9] 111011010=>[4,5,6,1,7,8,2,9,3] 111011011=>[3,4,5,1,6,7,2,8,9] 111011100=>[4,5,6,1,7,8,9,2,3] 111011101=>[3,4,5,1,6,7,8,2,9] 111011110=>[3,4,5,1,6,7,8,9,2] 111011111=>[2,3,4,1,5,6,7,8,9] 111100000=>[6,7,8,9,1,2,3,4,5] 111100001=>[5,6,7,8,1,2,3,4,9] 111100010=>[5,6,7,8,1,2,3,9,4] 111100011=>[4,5,6,7,1,2,3,8,9] 111100100=>[5,6,7,8,1,2,9,3,4] 111100101=>[4,5,6,7,1,2,8,3,9] 111100110=>[4,5,6,7,1,2,8,9,3] 111100111=>[3,4,5,6,1,2,7,8,9] 111101000=>[5,6,7,8,1,9,2,3,4] 111101001=>[4,5,6,7,1,8,2,3,9] 111101010=>[4,5,6,7,1,8,2,9,3] 111101011=>[3,4,5,6,1,7,2,8,9] 111101100=>[4,5,6,7,1,8,9,2,3] 111101101=>[3,4,5,6,1,7,8,2,9] 111101110=>[3,4,5,6,1,7,8,9,2] 111101111=>[2,3,4,5,1,6,7,8,9] 111110000=>[5,6,7,8,9,1,2,3,4] 111110001=>[4,5,6,7,8,1,2,3,9] 111110010=>[4,5,6,7,8,1,2,9,3] 111110011=>[3,4,5,6,7,1,2,8,9] 111110100=>[4,5,6,7,8,1,9,2,3] 111110101=>[3,4,5,6,7,1,8,2,9] 111110110=>[3,4,5,6,7,1,8,9,2] 111110111=>[2,3,4,5,6,1,7,8,9] 111111000=>[4,5,6,7,8,9,1,2,3] 111111001=>[3,4,5,6,7,8,1,2,9] 111111010=>[3,4,5,6,7,8,1,9,2] 111111011=>[2,3,4,5,6,7,1,8,9] 111111100=>[3,4,5,6,7,8,9,1,2] 111111101=>[2,3,4,5,6,7,8,1,9] 111111110=>[2,3,4,5,6,7,8,9,1] 111111111=>[1,2,3,4,5,6,7,8,9]