=>

[1]=>1=>1=>1 [1,1]=>11=>11=>11 [2]=>10=>01=>10 [1,1,1]=>111=>111=>111 [1,2]=>110=>011=>110 [2,1]=>101=>101=>110 [3]=>100=>001=>100 [1,1,1,1]=>1111=>1111=>1111 [1,1,2]=>1110=>0111=>1110 [1,2,1]=>1101=>1011=>1110 [1,3]=>1100=>0011=>1010 [2,1,1]=>1011=>1101=>1110 [2,2]=>1010=>0101=>1100 [3,1]=>1001=>1001=>1010 [4]=>1000=>0001=>1000 [1,1,1,1,1]=>11111=>11111=>11111 [1,1,1,2]=>11110=>01111=>11110 [1,1,2,1]=>11101=>10111=>11110 [1,1,3]=>11100=>00111=>10110 [1,2,1,1]=>11011=>11011=>11110 [1,2,2]=>11010=>01011=>11100 [1,3,1]=>11001=>10011=>10110 [1,4]=>11000=>00011=>10010 [2,1,1,1]=>10111=>11101=>11110 [2,1,2]=>10110=>01101=>11100 [2,2,1]=>10101=>10101=>11100 [2,3]=>10100=>00101=>11000 [3,1,1]=>10011=>11001=>10110 [3,2]=>10010=>01001=>11000 [4,1]=>10001=>10001=>10010 [5]=>10000=>00001=>10000 [1,1,1,1,1,1]=>111111=>111111=>111111 [1,1,1,1,2]=>111110=>011111=>111110 [1,1,1,2,1]=>111101=>101111=>111110 [1,1,1,3]=>111100=>001111=>101110 [1,1,2,1,1]=>111011=>110111=>111110 [1,1,2,2]=>111010=>010111=>111010 [1,1,3,1]=>111001=>100111=>101110 [1,1,4]=>111000=>000111=>100110 [1,2,1,1,1]=>110111=>111011=>111110 [1,2,1,2]=>110110=>011011=>111100 [1,2,2,1]=>110101=>101011=>111010 [1,2,3]=>110100=>001011=>101100 [1,3,1,1]=>110011=>110011=>101110 [1,3,2]=>110010=>010011=>110010 [1,4,1]=>110001=>100011=>100110 [1,5]=>110000=>000011=>100010 [2,1,1,1,1]=>101111=>111101=>111110 [2,1,1,2]=>101110=>011101=>111010 [2,1,2,1]=>101101=>101101=>111100 [2,1,3]=>101100=>001101=>110010 [2,2,1,1]=>101011=>110101=>111010 [2,2,2]=>101010=>010101=>111000 [2,3,1]=>101001=>100101=>101100 [2,4]=>101000=>000101=>101000 [3,1,1,1]=>100111=>111001=>101110 [3,1,2]=>100110=>011001=>101100 [3,2,1]=>100101=>101001=>110010 [3,3]=>100100=>001001=>110000 [4,1,1]=>100011=>110001=>100110 [4,2]=>100010=>010001=>101000 [5,1]=>100001=>100001=>100010 [6]=>100000=>000001=>100000 [1,1,1,1,1,1,1]=>1111111=>1111111=>1111111 [1,1,1,1,1,2]=>1111110=>0111111=>1111110 [1,1,1,1,2,1]=>1111101=>1011111=>1111110 [1,1,1,1,3]=>1111100=>0011111=>1011110 [1,1,1,2,1,1]=>1111011=>1101111=>1111110 [1,1,1,2,2]=>1111010=>0101111=>1110110 [1,1,1,3,1]=>1111001=>1001111=>1011110 [1,1,1,4]=>1111000=>0001111=>1001110 [1,1,2,1,1,1]=>1110111=>1110111=>1111110 [1,1,2,1,2]=>1110110=>0110111=>1111100 [1,1,2,2,1]=>1110101=>1010111=>1110110 [1,1,2,3]=>1110100=>0010111=>1011010 [1,1,3,1,1]=>1110011=>1100111=>1011110 [1,1,3,2]=>1110010=>0100111=>1100110 [1,1,4,1]=>1110001=>1000111=>1001110 [1,1,5]=>1110000=>0000111=>1000110 [1,2,1,1,1,1]=>1101111=>1111011=>1111110 [1,2,1,1,2]=>1101110=>0111011=>1111100 [1,2,1,2,1]=>1101101=>1011011=>1111100 [1,2,1,3]=>1101100=>0011011=>1101100 [1,2,2,1,1]=>1101011=>1101011=>1110110 [1,2,2,2]=>1101010=>0101011=>1111000 [1,2,3,1]=>1101001=>1001011=>1011010 [1,2,4]=>1101000=>0001011=>1001100 [1,3,1,1,1]=>1100111=>1110011=>1011110 [1,3,1,2]=>1100110=>0110011=>1101100 [1,3,2,1]=>1100101=>1010011=>1100110 [1,3,3]=>1100100=>0010011=>1100100 [1,4,1,1]=>1100011=>1100011=>1001110 [1,4,2]=>1100010=>0100011=>1010010 [1,5,1]=>1100001=>1000011=>1000110 [1,6]=>1100000=>0000011=>1000010 [2,1,1,1,1,1]=>1011111=>1111101=>1111110 [2,1,1,1,2]=>1011110=>0111101=>1110110 [2,1,1,2,1]=>1011101=>1011101=>1111100 [2,1,1,3]=>1011100=>0011101=>1100110 [2,1,2,1,1]=>1011011=>1101101=>1111100 [2,1,2,2]=>1011010=>0101101=>1111000 [2,1,3,1]=>1011001=>1001101=>1101100 [2,1,4]=>1011000=>0001101=>1010010 [2,2,1,1,1]=>1010111=>1110101=>1110110 [2,2,1,2]=>1010110=>0110101=>1111000 [2,2,2,1]=>1010101=>1010101=>1111000 [2,2,3]=>1010100=>0010101=>1110000 [2,3,1,1]=>1010011=>1100101=>1011010 [2,3,2]=>1010010=>0100101=>1110000 [2,4,1]=>1010001=>1000101=>1001100 [2,5]=>1010000=>0000101=>1001000 [3,1,1,1,1]=>1001111=>1111001=>1011110 [3,1,1,2]=>1001110=>0111001=>1011010 [3,1,2,1]=>1001101=>1011001=>1101100 [3,1,3]=>1001100=>0011001=>1100100 [3,2,1,1]=>1001011=>1101001=>1100110 [3,2,2]=>1001010=>0101001=>1110000 [3,3,1]=>1001001=>1001001=>1100100 [3,4]=>1001000=>0001001=>1100000 [4,1,1,1]=>1000111=>1110001=>1001110 [4,1,2]=>1000110=>0110001=>1001100 [4,2,1]=>1000101=>1010001=>1010010 [4,3]=>1000100=>0010001=>1100000 [5,1,1]=>1000011=>1100001=>1000110 [5,2]=>1000010=>0100001=>1001000 [6,1]=>1000001=>1000001=>1000010 [7]=>1000000=>0000001=>1000000 [1,1,1,1,1,1,1,1]=>11111111=>11111111=>11111111 [1,1,1,1,1,1,2]=>11111110=>01111111=>11111110 [1,1,1,1,1,2,1]=>11111101=>10111111=>11111110 [1,1,1,1,1,3]=>11111100=>00111111=>10111110 [1,1,1,1,2,1,1]=>11111011=>11011111=>11111110 [1,1,1,1,2,2]=>11111010=>01011111=>11101110 [1,1,1,1,3,1]=>11111001=>10011111=>10111110 [1,1,1,1,4]=>11111000=>00011111=>10011110 [1,1,1,2,1,1,1]=>11110111=>11101111=>11111110 [1,1,1,2,1,2]=>11110110=>01101111=>11111010 [1,1,1,2,2,1]=>11110101=>10101111=>11101110 [1,1,1,2,3]=>11110100=>00101111=>10110110 [1,1,1,3,1,1]=>11110011=>11001111=>10111110 [1,1,1,3,2]=>11110010=>01001111=>11001110 [1,1,1,4,1]=>11110001=>10001111=>10011110 [1,1,1,5]=>11110000=>00001111=>10001110 [1,1,2,1,1,1,1]=>11101111=>11110111=>11111110 [1,1,2,1,1,2]=>11101110=>01110111=>11111100 [1,1,2,1,2,1]=>11101101=>10110111=>11111010 [1,1,2,1,3]=>11101100=>00110111=>10111100 [1,1,2,2,1,1]=>11101011=>11010111=>11101110 [1,1,2,2,2]=>11101010=>01010111=>11110010 [1,1,2,3,1]=>11101001=>10010111=>10110110 [1,1,2,4]=>11101000=>00010111=>10011010 [1,1,3,1,1,1]=>11100111=>11100111=>10111110 [1,1,3,1,2]=>11100110=>01100111=>11011010 [1,1,3,2,1]=>11100101=>10100111=>11001110 [1,1,3,3]=>11100100=>00100111=>11001010 [1,1,4,1,1]=>11100011=>11000111=>10011110 [1,1,4,2]=>11100010=>01000111=>10100110 [1,1,5,1]=>11100001=>10000111=>10001110 [1,1,6]=>11100000=>00000111=>10000110 [1,2,1,1,1,1,1]=>11011111=>11111011=>11111110 [1,2,1,1,1,2]=>11011110=>01111011=>11111010 [1,2,1,1,2,1]=>11011101=>10111011=>11111100 [1,2,1,1,3]=>11011100=>00111011=>11011010 [1,2,1,2,1,1]=>11011011=>11011011=>11111010 [1,2,1,2,2]=>11011010=>01011011=>11111000 [1,2,1,3,1]=>11011001=>10011011=>10111100 [1,2,1,4]=>11011000=>00011011=>10101100 [1,2,2,1,1,1]=>11010111=>11101011=>11101110 [1,2,2,1,2]=>11010110=>01101011=>11111000 [1,2,2,2,1]=>11010101=>10101011=>11110010 [1,2,2,3]=>11010100=>00101011=>10111000 [1,2,3,1,1]=>11010011=>11001011=>10110110 [1,2,3,2]=>11010010=>01001011=>11010100 [1,2,4,1]=>11010001=>10001011=>10011010 [1,2,5]=>11010000=>00001011=>10001100 [1,3,1,1,1,1]=>11001111=>11110011=>10111110 [1,3,1,1,2]=>11001110=>01110011=>10111100 [1,3,1,2,1]=>11001101=>10110011=>11011010 [1,3,1,3]=>11001100=>00110011=>11001100 [1,3,2,1,1]=>11001011=>11010011=>11001110 [1,3,2,2]=>11001010=>01010011=>11100010 [1,3,3,1]=>11001001=>10010011=>11001010 [1,3,4]=>11001000=>00010011=>10100100 [1,4,1,1,1]=>11000111=>11100011=>10011110 [1,4,1,2]=>11000110=>01100011=>10101100 [1,4,2,1]=>11000101=>10100011=>10100110 [1,4,3]=>11000100=>00100011=>11000010 [1,5,1,1]=>11000011=>11000011=>10001110 [1,5,2]=>11000010=>01000011=>10010010 [1,6,1]=>11000001=>10000011=>10000110 [1,7]=>11000000=>00000011=>10000010 [2,1,1,1,1,1,1]=>10111111=>11111101=>11111110 [2,1,1,1,1,2]=>10111110=>01111101=>11101110 [2,1,1,1,2,1]=>10111101=>10111101=>11111010 [2,1,1,1,3]=>10111100=>00111101=>11001110 [2,1,1,2,1,1]=>10111011=>11011101=>11111100 [2,1,1,2,2]=>10111010=>01011101=>11110010 [2,1,1,3,1]=>10111001=>10011101=>11011010 [2,1,1,4]=>10111000=>00011101=>10100110 [2,1,2,1,1,1]=>10110111=>11101101=>11111010 [2,1,2,1,2]=>10110110=>01101101=>11111000 [2,1,2,2,1]=>10110101=>10101101=>11111000 [2,1,2,3]=>10110100=>00101101=>11010100 [2,1,3,1,1]=>10110011=>11001101=>10111100 [2,1,3,2]=>10110010=>01001101=>11100010 [2,1,4,1]=>10110001=>10001101=>10101100 [2,1,5]=>10110000=>00001101=>10010010 [2,2,1,1,1,1]=>10101111=>11110101=>11101110 [2,2,1,1,2]=>10101110=>01110101=>11110010 [2,2,1,2,1]=>10101101=>10110101=>11111000 [2,2,1,3]=>10101100=>00110101=>11100010 [2,2,2,1,1]=>10101011=>11010101=>11110010 [2,2,2,2]=>10101010=>01010101=>11110000 [2,2,3,1]=>10101001=>10010101=>10111000 [2,2,4]=>10101000=>00010101=>10110000 [2,3,1,1,1]=>10100111=>11100101=>10110110 [2,3,1,2]=>10100110=>01100101=>10111000 [2,3,2,1]=>10100101=>10100101=>11010100 [2,3,3]=>10100100=>00100101=>11100000 [2,4,1,1]=>10100011=>11000101=>10011010 [2,4,2]=>10100010=>01000101=>10110000 [2,5,1]=>10100001=>10000101=>10001100 [2,6]=>10100000=>00000101=>10001000 [3,1,1,1,1,1]=>10011111=>11111001=>10111110 [3,1,1,1,2]=>10011110=>01111001=>10110110 [3,1,1,2,1]=>10011101=>10111001=>10111100 [3,1,1,3]=>10011100=>00111001=>11001010 [3,1,2,1,1]=>10011011=>11011001=>11011010 [3,1,2,2]=>10011010=>01011001=>10111000 [3,1,3,1]=>10011001=>10011001=>11001100 [3,1,4]=>10011000=>00011001=>11000010 [3,2,1,1,1]=>10010111=>11101001=>11001110 [3,2,1,2]=>10010110=>01101001=>11010100 [3,2,2,1]=>10010101=>10101001=>11100010 [3,2,3]=>10010100=>00101001=>11100000 [3,3,1,1]=>10010011=>11001001=>11001010 [3,3,2]=>10010010=>01001001=>11100000 [3,4,1]=>10010001=>10001001=>10100100 [3,5]=>10010000=>00001001=>10100000 [4,1,1,1,1]=>10001111=>11110001=>10011110 [4,1,1,2]=>10001110=>01110001=>10011010 [4,1,2,1]=>10001101=>10110001=>10101100 [4,1,3]=>10001100=>00110001=>10100100 [4,2,1,1]=>10001011=>11010001=>10100110 [4,2,2]=>10001010=>01010001=>10110000 [4,3,1]=>10001001=>10010001=>11000010 [4,4]=>10001000=>00010001=>11000000 [5,1,1,1]=>10000111=>11100001=>10001110 [5,1,2]=>10000110=>01100001=>10001100 [5,2,1]=>10000101=>10100001=>10010010 [5,3]=>10000100=>00100001=>10100000 [6,1,1]=>10000011=>11000001=>10000110 [6,2]=>10000010=>01000001=>10001000 [7,1]=>10000001=>10000001=>10000010 [8]=>10000000=>00000001=>10000000 [1,1,1,1,1,1,1,1,1]=>111111111=>111111111=>111111111 [1,1,1,1,1,1,1,2]=>111111110=>011111111=>111111110 [1,1,1,1,1,1,2,1]=>111111101=>101111111=>111111110 [1,1,1,1,1,1,3]=>111111100=>001111111=>101111110 [1,1,1,1,1,2,1,1]=>111111011=>110111111=>111111110 [1,1,1,1,1,2,2]=>111111010=>010111111=>111011110 [1,1,1,1,1,3,1]=>111111001=>100111111=>101111110 [1,1,1,1,1,4]=>111111000=>000111111=>100111110 [1,1,1,1,2,1,1,1]=>111110111=>111011111=>111111110 [1,1,1,1,2,1,2]=>111110110=>011011111=>111110110 [1,1,1,1,2,2,1]=>111110101=>101011111=>111011110 [1,1,1,1,2,3]=>111110100=>001011111=>101101110 [1,1,1,1,3,1,1]=>111110011=>110011111=>101111110 [1,1,1,1,3,2]=>111110010=>010011111=>110011110 [1,1,1,1,4,1]=>111110001=>100011111=>100111110 [1,1,1,1,5]=>111110000=>000011111=>100011110 [1,1,1,2,1,1,1,1]=>111101111=>111101111=>111111110 [1,1,1,2,1,1,2]=>111101110=>011101111=>111111100 [1,1,1,2,1,2,1]=>111101101=>101101111=>111110110 [1,1,1,2,1,3]=>111101100=>001101111=>101111010 [1,1,1,2,2,1,1]=>111101011=>110101111=>111011110 [1,1,1,2,2,2]=>111101010=>010101111=>111100110 [1,1,1,2,3,1]=>111101001=>100101111=>101101110 [1,1,1,2,4]=>111101000=>000101111=>100110110 [1,1,1,3,1,1,1]=>111100111=>111001111=>101111110 [1,1,1,3,1,2]=>111100110=>011001111=>110110110 [1,1,1,3,2,1]=>111100101=>101001111=>110011110 [1,1,1,3,3]=>111100100=>001001111=>110010110 [1,1,1,4,1,1]=>111100011=>110001111=>100111110 [1,1,1,4,2]=>111100010=>010001111=>101001110 [1,1,1,5,1]=>111100001=>100001111=>100011110 [1,1,1,6]=>111100000=>000001111=>100001110 [1,1,2,1,1,1,1,1]=>111011111=>111110111=>111111110 [1,1,2,1,1,1,2]=>111011110=>011110111=>111111100 [1,1,2,1,1,2,1]=>111011101=>101110111=>111111100 [1,1,2,1,1,3]=>111011100=>001110111=>110111100 [1,1,2,1,2,1,1]=>111011011=>110110111=>111110110 [1,1,2,1,2,2]=>111011010=>010110111=>111101100 [1,1,2,1,3,1]=>111011001=>100110111=>101111010 [1,1,2,1,4]=>111011000=>000110111=>100111100 [1,1,2,2,1,1,1]=>111010111=>111010111=>111011110 [1,1,2,2,1,2]=>111010110=>011010111=>111110010 [1,1,2,2,2,1]=>111010101=>101010111=>111100110 [1,1,2,2,3]=>111010100=>001010111=>101110010 [1,1,2,3,1,1]=>111010011=>110010111=>101101110 [1,1,2,3,2]=>111010010=>010010111=>110101010 [1,1,2,4,1]=>111010001=>100010111=>100110110 [1,1,2,5]=>111010000=>000010111=>100011010 [1,1,3,1,1,1,1]=>111001111=>111100111=>101111110 [1,1,3,1,1,2]=>111001110=>011100111=>110111100 [1,1,3,1,2,1]=>111001101=>101100111=>110110110 [1,1,3,1,3]=>111001100=>001100111=>110011100 [1,1,3,2,1,1]=>111001011=>110100111=>110011110 [1,1,3,2,2]=>111001010=>010100111=>111000110 [1,1,3,3,1]=>111001001=>100100111=>110010110 [1,1,3,4]=>111001000=>000100111=>101001010 [1,1,4,1,1,1]=>111000111=>111000111=>100111110 [1,1,4,1,2]=>111000110=>011000111=>101011010 [1,1,4,2,1]=>111000101=>101000111=>101001110 [1,1,4,3]=>111000100=>001000111=>110000110 [1,1,5,1,1]=>111000011=>110000111=>100011110 [1,1,5,2]=>111000010=>010000111=>100100110 [1,1,6,1]=>111000001=>100000111=>100001110 [1,1,7]=>111000000=>000000111=>100000110 [1,2,1,1,1,1,1,1]=>110111111=>111111011=>111111110 [1,2,1,1,1,1,2]=>110111110=>011111011=>111110110 [1,2,1,1,1,2,1]=>110111101=>101111011=>111111100 [1,2,1,1,1,3]=>110111100=>001111011=>110110110 [1,2,1,1,2,1,1]=>110111011=>110111011=>111111100 [1,2,1,1,2,2]=>110111010=>010111011=>111110010 [1,2,1,1,3,1]=>110111001=>100111011=>110111100 [1,2,1,1,4]=>110111000=>000111011=>101011010 [1,2,1,2,1,1,1]=>110110111=>111011011=>111110110 [1,2,1,2,1,2]=>110110110=>011011011=>111111000 [1,2,1,2,2,1]=>110110101=>101011011=>111101100 [1,2,1,2,3]=>110110100=>001011011=>101111000 [1,2,1,3,1,1]=>110110011=>110011011=>101111010 [1,2,1,3,2]=>110110010=>010011011=>111001100 [1,2,1,4,1]=>110110001=>100011011=>100111100 [1,2,1,5]=>110110000=>000011011=>100101100 [1,2,2,1,1,1,1]=>110101111=>111101011=>111011110 [1,2,2,1,1,2]=>110101110=>011101011=>111101100 [1,2,2,1,2,1]=>110101101=>101101011=>111110010 [1,2,2,1,3]=>110101100=>001101011=>111011000 [1,2,2,2,1,1]=>110101011=>110101011=>111100110 [1,2,2,2,2]=>110101010=>010101011=>111110000 [1,2,2,3,1]=>110101001=>100101011=>101110010 [1,2,2,4]=>110101000=>000101011=>100111000 [1,2,3,1,1,1]=>110100111=>111001011=>101101110 [1,2,3,1,2]=>110100110=>011001011=>101111000 [1,2,3,2,1]=>110100101=>101001011=>110101010 [1,2,3,3]=>110100100=>001001011=>110011000 [1,2,4,1,1]=>110100011=>110001011=>100110110 [1,2,4,2]=>110100010=>010001011=>101010100 [1,2,5,1]=>110100001=>100001011=>100011010 [1,2,6]=>110100000=>000001011=>100001100 [1,3,1,1,1,1,1]=>110011111=>111110011=>101111110 [1,3,1,1,1,2]=>110011110=>011110011=>101111010 [1,3,1,1,2,1]=>110011101=>101110011=>110111100 [1,3,1,1,3]=>110011100=>001110011=>110011100 [1,3,1,2,1,1]=>110011011=>110110011=>110110110 [1,3,1,2,2]=>110011010=>010110011=>111011000 [1,3,1,3,1]=>110011001=>100110011=>110011100 [1,3,1,4]=>110011000=>000110011=>110001100 [1,3,2,1,1,1]=>110010111=>111010011=>110011110 [1,3,2,1,2]=>110010110=>011010011=>111001100 [1,3,2,2,1]=>110010101=>101010011=>111000110 [1,3,2,3]=>110010100=>001010011=>111001000 [1,3,3,1,1]=>110010011=>110010011=>110010110 [1,3,3,2]=>110010010=>010010011=>111000010 [1,3,4,1]=>110010001=>100010011=>101001010 [1,3,5]=>110010000=>000010011=>100100100 [1,4,1,1,1,1]=>110001111=>111100011=>100111110 [1,4,1,1,2]=>110001110=>011100011=>100111100 [1,4,1,2,1]=>110001101=>101100011=>101011010 [1,4,1,3]=>110001100=>001100011=>110001100 [1,4,2,1,1]=>110001011=>110100011=>101001110 [1,4,2,2]=>110001010=>010100011=>101100010 [1,4,3,1]=>110001001=>100100011=>110000110 [1,4,4]=>110001000=>000100011=>110000100 [1,5,1,1,1]=>110000111=>111000011=>100011110 [1,5,1,2]=>110000110=>011000011=>100101100 [1,5,2,1]=>110000101=>101000011=>100100110 [1,5,3]=>110000100=>001000011=>101000010 [1,6,1,1]=>110000011=>110000011=>100001110 [1,6,2]=>110000010=>010000011=>100010010 [1,7,1]=>110000001=>100000011=>100000110 [1,8]=>110000000=>000000011=>100000010 [2,1,1,1,1,1,1,1]=>101111111=>111111101=>111111110 [2,1,1,1,1,1,2]=>101111110=>011111101=>111011110 [2,1,1,1,1,2,1]=>101111101=>101111101=>111110110 [2,1,1,1,1,3]=>101111100=>001111101=>110011110 [2,1,1,1,2,1,1]=>101111011=>110111101=>111111100 [2,1,1,1,2,2]=>101111010=>010111101=>111100110 [2,1,1,1,3,1]=>101111001=>100111101=>110110110 [2,1,1,1,4]=>101111000=>000111101=>101001110 [2,1,1,2,1,1,1]=>101110111=>111011101=>111111100 [2,1,1,2,1,2]=>101110110=>011011101=>111101100 [2,1,1,2,2,1]=>101110101=>101011101=>111110010 [2,1,1,2,3]=>101110100=>001011101=>110101010 [2,1,1,3,1,1]=>101110011=>110011101=>110111100 [2,1,1,3,2]=>101110010=>010011101=>111000110 [2,1,1,4,1]=>101110001=>100011101=>101011010 [2,1,1,5]=>101110000=>000011101=>100100110 [2,1,2,1,1,1,1]=>101101111=>111101101=>111110110 [2,1,2,1,1,2]=>101101110=>011101101=>111110010 [2,1,2,1,2,1]=>101101101=>101101101=>111111000 [2,1,2,1,3]=>101101100=>001101101=>111001100 [2,1,2,2,1,1]=>101101011=>110101101=>111101100 [2,1,2,2,2]=>101101010=>010101101=>111110000 [2,1,2,3,1]=>101101001=>100101101=>101111000 [2,1,2,4]=>101101000=>000101101=>101010100 [2,1,3,1,1,1]=>101100111=>111001101=>101111010 [2,1,3,1,2]=>101100110=>011001101=>111011000 [2,1,3,2,1]=>101100101=>101001101=>111001100 [2,1,3,3]=>101100100=>001001101=>111000010 [2,1,4,1,1]=>101100011=>110001101=>100111100 [2,1,4,2]=>101100010=>010001101=>101100010 [2,1,5,1]=>101100001=>100001101=>100101100 [2,1,6]=>101100000=>000001101=>100010010 [2,2,1,1,1,1,1]=>101011111=>111110101=>111011110 [2,2,1,1,1,2]=>101011110=>011110101=>111100110 [2,2,1,1,2,1]=>101011101=>101110101=>111101100 [2,2,1,1,3]=>101011100=>001110101=>111000110 [2,2,1,2,1,1]=>101011011=>110110101=>111110010 [2,2,1,2,2]=>101011010=>010110101=>111110000 [2,2,1,3,1]=>101011001=>100110101=>111011000 [2,2,1,4]=>101011000=>000110101=>101100010 [2,2,2,1,1,1]=>101010111=>111010101=>111100110 [2,2,2,1,2]=>101010110=>011010101=>111110000 [2,2,2,2,1]=>101010101=>101010101=>111110000 [2,2,2,3]=>101010100=>001010101=>111100000 [2,2,3,1,1]=>101010011=>110010101=>101110010 [2,2,3,2]=>101010010=>010010101=>111100000 [2,2,4,1]=>101010001=>100010101=>100111000 [2,2,5]=>101010000=>000010101=>100110000 [2,3,1,1,1,1]=>101001111=>111100101=>101101110 [2,3,1,1,2]=>101001110=>011100101=>101110010 [2,3,1,2,1]=>101001101=>101100101=>101111000 [2,3,1,3]=>101001100=>001100101=>111001000 [2,3,2,1,1]=>101001011=>110100101=>110101010 [2,3,2,2]=>101001010=>010100101=>111100000 [2,3,3,1]=>101001001=>100100101=>110011000 [2,3,4]=>101001000=>000100101=>101100000 [2,4,1,1,1]=>101000111=>111000101=>100110110 [2,4,1,2]=>101000110=>011000101=>100111000 [2,4,2,1]=>101000101=>101000101=>101010100 [2,4,3]=>101000100=>001000101=>110010000 [2,5,1,1]=>101000011=>110000101=>100011010 [2,5,2]=>101000010=>010000101=>100110000 [2,6,1]=>101000001=>100000101=>100001100 [2,7]=>101000000=>000000101=>100001000 [3,1,1,1,1,1,1]=>100111111=>111111001=>101111110 [3,1,1,1,1,2]=>100111110=>011111001=>101101110 [3,1,1,1,2,1]=>100111101=>101111001=>101111010 [3,1,1,1,3]=>100111100=>001111001=>110010110 [3,1,1,2,1,1]=>100111011=>110111001=>110111100 [3,1,1,2,2]=>100111010=>010111001=>101110010 [3,1,1,3,1]=>100111001=>100111001=>110011100 [3,1,1,4]=>100111000=>000111001=>110000110 [3,1,2,1,1,1]=>100110111=>111011001=>110110110 [3,1,2,1,2]=>100110110=>011011001=>101111000 [3,1,2,2,1]=>100110101=>101011001=>111011000 [3,1,2,3]=>100110100=>001011001=>110011000 [3,1,3,1,1]=>100110011=>110011001=>110011100 [3,1,3,2]=>100110010=>010011001=>111001000 [3,1,4,1]=>100110001=>100011001=>110001100 [3,1,5]=>100110000=>000011001=>101000010 [3,2,1,1,1,1]=>100101111=>111101001=>110011110 [3,2,1,1,2]=>100101110=>011101001=>110101010 [3,2,1,2,1]=>100101101=>101101001=>111001100 [3,2,1,3]=>100101100=>001101001=>111000010 [3,2,2,1,1]=>100101011=>110101001=>111000110 [3,2,2,2]=>100101010=>010101001=>111100000 [3,2,3,1]=>100101001=>100101001=>111001000 [3,2,4]=>100101000=>000101001=>110010000 [3,3,1,1,1]=>100100111=>111001001=>110010110 [3,3,1,2]=>100100110=>011001001=>110011000 [3,3,2,1]=>100100101=>101001001=>111000010 [3,3,3]=>100100100=>001001001=>111000000 [3,4,1,1]=>100100011=>110001001=>101001010 [3,4,2]=>100100010=>010001001=>101100000 [3,5,1]=>100100001=>100001001=>100100100 [3,6]=>100100000=>000001001=>100100000 [4,1,1,1,1,1]=>100011111=>111110001=>100111110 [4,1,1,1,2]=>100011110=>011110001=>100110110 [4,1,1,2,1]=>100011101=>101110001=>100111100 [4,1,1,3]=>100011100=>001110001=>101001010 [4,1,2,1,1]=>100011011=>110110001=>101011010 [4,1,2,2]=>100011010=>010110001=>100111000 [4,1,3,1]=>100011001=>100110001=>110001100 [4,1,4]=>100011000=>000110001=>110000100 [4,2,1,1,1]=>100010111=>111010001=>101001110 [4,2,1,2]=>100010110=>011010001=>101010100 [4,2,2,1]=>100010101=>101010001=>101100010 [4,2,3]=>100010100=>001010001=>101100000 [4,3,1,1]=>100010011=>110010001=>110000110 [4,3,2]=>100010010=>010010001=>110010000 [4,4,1]=>100010001=>100010001=>110000100 [4,5]=>100010000=>000010001=>110000000 [5,1,1,1,1]=>100001111=>111100001=>100011110 [5,1,1,2]=>100001110=>011100001=>100011010 [5,1,2,1]=>100001101=>101100001=>100101100 [5,1,3]=>100001100=>001100001=>100100100 [5,2,1,1]=>100001011=>110100001=>100100110 [5,2,2]=>100001010=>010100001=>100110000 [5,3,1]=>100001001=>100100001=>101000010 [5,4]=>100001000=>000100001=>110000000 [6,1,1,1]=>100000111=>111000001=>100001110 [6,1,2]=>100000110=>011000001=>100001100 [6,2,1]=>100000101=>101000001=>100010010 [6,3]=>100000100=>001000001=>100100000 [7,1,1]=>100000011=>110000001=>100000110 [7,2]=>100000010=>010000001=>100001000 [8,1]=>100000001=>100000001=>100000010 [9]=>100000000=>000000001=>100000000 [1,1,1,1,1,1,1,1,1,1]=>1111111111=>1111111111=>1111111111 [1,1,1,1,1,1,1,1,2]=>1111111110=>0111111111=>1111111110 [1,1,1,1,1,1,3,1]=>1111111001=>1001111111=>1011111110 [1,1,1,1,2,1,2,1]=>1111101101=>1011011111=>1111101110 [1,1,1,1,2,2,1,1]=>1111101011=>1101011111=>1110111110 [1,1,1,1,3,1,1,1]=>1111100111=>1110011111=>1011111110 [1,1,1,1,5,1]=>1111100001=>1000011111=>1000111110 [1,1,1,1,6]=>1111100000=>0000011111=>1000011110 [1,1,1,2,5]=>1111010000=>0000101111=>1000110110 [1,1,1,3,4]=>1111001000=>0001001111=>1010010110 [1,1,1,4,3]=>1111000100=>0010001111=>1100001110 [1,1,1,5,2]=>1111000010=>0100001111=>1001001110 [1,1,2,1,1,1,2,1]=>1110111101=>1011110111=>1111111100 [1,1,2,1,2,1,1,1]=>1110110111=>1110110111=>1111101110 [1,1,2,1,4,1]=>1110110001=>1000110111=>1001111010 [1,1,2,1,5]=>1110110000=>0000110111=>1000111100 [1,1,2,2,2,1,1]=>1110101011=>1101010111=>1111001110 [1,1,2,2,4]=>1110101000=>0001010111=>1001110010 [1,1,2,3,2,1]=>1110100101=>1010010111=>1101010110 [1,1,2,3,3]=>1110100100=>0010010111=>1100110010 [1,1,2,4,2]=>1110100010=>0100010111=>1010101010 [1,1,3,1,1,1,1,1]=>1110011111=>1111100111=>1011111110 [1,1,3,1,3,1]=>1110011001=>1001100111=>1100111010 [1,1,3,1,4]=>1110011000=>0001100111=>1010011100 [1,1,3,2,3]=>1110010100=>0010100111=>1110010010 [1,1,3,3,2]=>1110010010=>0100100111=>1110000110 [1,1,4,1,2,1]=>1110001101=>1011000111=>1010110110 [1,1,4,1,3]=>1110001100=>0011000111=>1100011010 [1,1,4,2,2]=>1110001010=>0101000111=>1011000110 [1,1,5,1,1,1]=>1110000111=>1110000111=>1000111110 [1,1,7,1]=>1110000001=>1000000111=>1000001110 [1,2,1,1,1,1,1,2]=>1101111110=>0111111011=>1111101110 [1,2,1,1,1,2,1,1]=>1101111011=>1101111011=>1111111100 [1,2,1,1,5]=>1101110000=>0000111011=>1001011010 [1,2,1,2,2,1,1]=>1101101011=>1101011011=>1111011010 [1,2,1,2,4]=>1101101000=>0001011011=>1001111000 [1,2,1,3,3]=>1101100100=>0010011011=>1101010100 [1,2,1,4,2]=>1101100010=>0100011011=>1011001100 [1,2,2,1,1,1,1,1]=>1101011111=>1111101011=>1110111110 [1,2,2,1,2,1,1]=>1101011011=>1101101011=>1111100110 [1,2,2,1,4]=>1101011000=>0001101011=>1011011000 [1,2,2,2,1,1,1]=>1101010111=>1110101011=>1111001110 [1,2,2,2,2,1]=>1101010101=>1010101011=>1111100010 [1,2,2,2,3]=>1101010100=>0010101011=>1011110000 [1,2,2,3,1,1]=>1101010011=>1100101011=>1011100110 [1,2,2,3,2]=>1101010010=>0100101011=>1101101000 [1,2,2,4,1]=>1101010001=>1000101011=>1001110010 [1,2,3,1,3]=>1101001100=>0011001011=>1100111000 [1,2,3,2,1,1]=>1101001011=>1101001011=>1101010110 [1,2,3,2,2]=>1101001010=>0101001011=>1110100100 [1,2,5,1,1]=>1101000011=>1100001011=>1000110110 [1,3,1,1,4]=>1100111000=>0001110011=>1100011010 [1,3,1,2,3]=>1100110100=>0010110011=>1100111000 [1,3,1,3,2]=>1100110010=>0100110011=>1110001100 [1,3,2,1,3]=>1100101100=>0011010011=>1110001100 [1,3,2,2,1,1]=>1100101011=>1101010011=>1110001110 [1,3,2,2,2]=>1100101010=>0101010011=>1111000010 [1,5,2,1,1]=>1100001011=>1101000011=>1001001110 [2,1,1,1,1,1,1,2]=>1011111110=>0111111101=>1110111110 [2,1,1,1,1,1,2,1]=>1011111101=>1011111101=>1111101110 [2,1,1,1,2,1,1,1]=>1011110111=>1110111101=>1111111100 [2,1,1,1,4,1]=>1011110001=>1000111101=>1010110110 [2,1,1,1,5]=>1011110000=>0000111101=>1001001110 [2,1,1,2,4]=>1011101000=>0001011101=>1010101010 [2,1,1,3,2,1]=>1011100101=>1010011101=>1110011010 [2,1,1,3,3]=>1011100100=>0010011101=>1110000110 [2,1,1,4,2]=>1011100010=>0100011101=>1011000110 [2,1,2,1,1,1,1,1]=>1011011111=>1111101101=>1111101110 [2,1,2,1,3,1]=>1011011001=>1001101101=>1110111000 [2,1,2,1,4]=>1011011000=>0001101101=>1011001100 [2,1,2,2,3]=>1011010100=>0010101101=>1101101000 [2,1,2,3,2]=>1011010010=>0100101101=>1110100100 [2,1,3,1,2,1]=>1011001101=>1011001101=>1110111000 [2,1,3,1,3]=>1011001100=>0011001101=>1110001100 [2,1,3,2,2]=>1011001010=>0101001101=>1111000010 [2,1,4,1,1,1]=>1011000111=>1110001101=>1001111010 [2,1,6,1]=>1011000001=>1000001101=>1000101100 [2,2,1,1,1,1,2]=>1010111110=>0111110101=>1111001110 [2,2,1,1,4]=>1010111000=>0001110101=>1011000110 [2,2,1,2,2,1]=>1010110101=>1010110101=>1111110000 [2,2,1,2,3]=>1010110100=>0010110101=>1110100100 [2,2,1,3,2]=>1010110010=>0100110101=>1111000010 [2,2,2,1,3]=>1010101100=>0011010101=>1111000010 [2,2,2,2,1,1]=>1010101011=>1101010101=>1111100010 [2,2,2,2,2]=>1010101010=>0101010101=>1111100000 [2,3,1,1,2,1]=>1010011101=>1011100101=>1011101100 [2,3,2,1,1,1]=>1010010111=>1110100101=>1101010110 [2,3,4,1]=>1010010001=>1000100101=>1010011000 [2,5,2,1]=>1010000101=>1010000101=>1001010100 [3,1,1,1,1,1,1,1]=>1001111111=>1111111001=>1011111110 [3,1,1,1,1,1,2]=>1001111110=>0111111001=>1011011110 [3,1,1,1,3,1]=>1001111001=>1001111001=>1100111010 [3,1,2,1,2,1]=>1001101101=>1011011001=>1110111000 [3,1,3,1,1,1]=>1001100111=>1110011001=>1100111010 [3,1,5,1]=>1001100001=>1000011001=>1010001100 [3,2,1,1,1,2]=>1001011110=>0111101001=>1101010110 [4,1,1,1,1,2]=>1000111110=>0111110001=>1001101110 [4,1,1,1,2,1]=>1000111101=>1011110001=>1001111010 [4,1,2,1,1,1]=>1000110111=>1110110001=>1010110110 [4,1,4,1]=>1000110001=>1000110001=>1100001100 [4,2,1,1,2]=>1000101110=>0111010001=>1010101010 [4,2,2,1,1]=>1000101011=>1101010001=>1011000110 [4,3,2,1]=>1000100101=>1010010001=>1100100010 [5,1,1,1,1,1]=>1000011111=>1111100001=>1000111110 [5,1,1,1,2]=>1000011110=>0111100001=>1000110110 [5,1,3,1]=>1000011001=>1001100001=>1010001100 [5,2,1,2]=>1000010110=>0110100001=>1001010100 [6,1,1,2]=>1000001110=>0111000001=>1000011010 [6,1,2,1]=>1000001101=>1011000001=>1000101100 [6,2,2]=>1000001010=>0101000001=>1000110000 [7,1,1,1]=>1000000111=>1110000001=>1000001110 [7,1,2]=>1000000110=>0110000001=>1000001100 [7,3]=>1000000100=>0010000001=>1000100000 [8,2]=>1000000010=>0100000001=>1000001000 [9,1]=>1000000001=>1000000001=>1000000010 [10]=>1000000000=>0000000001=>1000000000