=>

[1]=>1=>1=>1 [1,1]=>11=>11=>11 [2]=>10=>01=>10 [1,1,1]=>111=>111=>111 [1,2]=>110=>011=>101 [2,1]=>101=>101=>110 [3]=>100=>001=>100 [1,1,1,1]=>1111=>1111=>1111 [1,1,2]=>1110=>0111=>1011 [1,2,1]=>1101=>1011=>1101 [1,3]=>1100=>0011=>1001 [2,1,1]=>1011=>1101=>1110 [2,2]=>1010=>0101=>1010 [3,1]=>1001=>1001=>1100 [4]=>1000=>0001=>1000 [1,1,1,1,1]=>11111=>11111=>11111 [1,1,1,2]=>11110=>01111=>10111 [1,1,2,1]=>11101=>10111=>11011 [1,1,3]=>11100=>00111=>10011 [1,2,1,1]=>11011=>11011=>11101 [1,2,2]=>11010=>01011=>10101 [1,3,1]=>11001=>10011=>11001 [1,4]=>11000=>00011=>10001 [2,1,1,1]=>10111=>11101=>11110 [2,1,2]=>10110=>01101=>10110 [2,2,1]=>10101=>10101=>11010 [2,3]=>10100=>00101=>10010 [3,1,1]=>10011=>11001=>11100 [3,2]=>10010=>01001=>10100 [4,1]=>10001=>10001=>11000 [5]=>10000=>00001=>10000 [1,1,1,1,1,1]=>111111=>111111=>111111 [1,1,1,1,2]=>111110=>011111=>101111 [1,1,1,2,1]=>111101=>101111=>110111 [1,1,1,3]=>111100=>001111=>100111 [1,1,2,1,1]=>111011=>110111=>111011 [1,1,2,2]=>111010=>010111=>101011 [1,1,3,1]=>111001=>100111=>110011 [1,1,4]=>111000=>000111=>100011 [1,2,1,1,1]=>110111=>111011=>111101 [1,2,1,2]=>110110=>011011=>101101 [1,2,2,1]=>110101=>101011=>110101 [1,2,3]=>110100=>001011=>100101 [1,3,1,1]=>110011=>110011=>111001 [1,3,2]=>110010=>010011=>101001 [1,4,1]=>110001=>100011=>110001 [1,5]=>110000=>000011=>100001 [2,1,1,1,1]=>101111=>111101=>111110 [2,1,1,2]=>101110=>011101=>101110 [2,1,2,1]=>101101=>101101=>110110 [2,1,3]=>101100=>001101=>100110 [2,2,1,1]=>101011=>110101=>111010 [2,2,2]=>101010=>010101=>101010 [2,3,1]=>101001=>100101=>110010 [2,4]=>101000=>000101=>100010 [3,1,1,1]=>100111=>111001=>111100 [3,1,2]=>100110=>011001=>101100 [3,2,1]=>100101=>101001=>110100 [3,3]=>100100=>001001=>100100 [4,1,1]=>100011=>110001=>111000 [4,2]=>100010=>010001=>101000 [5,1]=>100001=>100001=>110000 [6]=>100000=>000001=>100000 [1,1,1,1,1,1,1]=>1111111=>1111111=>1111111 [1,1,1,1,1,2]=>1111110=>0111111=>1011111 [1,1,1,1,2,1]=>1111101=>1011111=>1101111 [1,1,1,1,3]=>1111100=>0011111=>1001111 [1,1,1,2,1,1]=>1111011=>1101111=>1110111 [1,1,1,2,2]=>1111010=>0101111=>1010111 [1,1,1,3,1]=>1111001=>1001111=>1100111 [1,1,1,4]=>1111000=>0001111=>1000111 [1,1,2,1,1,1]=>1110111=>1110111=>1111011 [1,1,2,1,2]=>1110110=>0110111=>1011011 [1,1,2,2,1]=>1110101=>1010111=>1101011 [1,1,2,3]=>1110100=>0010111=>1001011 [1,1,3,1,1]=>1110011=>1100111=>1110011 [1,1,3,2]=>1110010=>0100111=>1010011 [1,1,4,1]=>1110001=>1000111=>1100011 [1,1,5]=>1110000=>0000111=>1000011 [1,2,1,1,1,1]=>1101111=>1111011=>1111101 [1,2,1,1,2]=>1101110=>0111011=>1011101 [1,2,1,2,1]=>1101101=>1011011=>1101101 [1,2,1,3]=>1101100=>0011011=>1001101 [1,2,2,1,1]=>1101011=>1101011=>1110101 [1,2,2,2]=>1101010=>0101011=>1010101 [1,2,3,1]=>1101001=>1001011=>1100101 [1,2,4]=>1101000=>0001011=>1000101 [1,3,1,1,1]=>1100111=>1110011=>1111001 [1,3,1,2]=>1100110=>0110011=>1011001 [1,3,2,1]=>1100101=>1010011=>1101001 [1,3,3]=>1100100=>0010011=>1001001 [1,4,1,1]=>1100011=>1100011=>1110001 [1,4,2]=>1100010=>0100011=>1010001 [1,5,1]=>1100001=>1000011=>1100001 [1,6]=>1100000=>0000011=>1000001 [2,1,1,1,1,1]=>1011111=>1111101=>1111110 [2,1,1,1,2]=>1011110=>0111101=>1011110 [2,1,1,2,1]=>1011101=>1011101=>1101110 [2,1,1,3]=>1011100=>0011101=>1001110 [2,1,2,1,1]=>1011011=>1101101=>1110110 [2,1,2,2]=>1011010=>0101101=>1010110 [2,1,3,1]=>1011001=>1001101=>1100110 [2,1,4]=>1011000=>0001101=>1000110 [2,2,1,1,1]=>1010111=>1110101=>1111010 [2,2,1,2]=>1010110=>0110101=>1011010 [2,2,2,1]=>1010101=>1010101=>1101010 [2,2,3]=>1010100=>0010101=>1001010 [2,3,1,1]=>1010011=>1100101=>1110010 [2,3,2]=>1010010=>0100101=>1010010 [2,4,1]=>1010001=>1000101=>1100010 [2,5]=>1010000=>0000101=>1000010 [3,1,1,1,1]=>1001111=>1111001=>1111100 [3,1,1,2]=>1001110=>0111001=>1011100 [3,1,2,1]=>1001101=>1011001=>1101100 [3,1,3]=>1001100=>0011001=>1001100 [3,2,1,1]=>1001011=>1101001=>1110100 [3,2,2]=>1001010=>0101001=>1010100 [3,3,1]=>1001001=>1001001=>1100100 [3,4]=>1001000=>0001001=>1000100 [4,1,1,1]=>1000111=>1110001=>1111000 [4,1,2]=>1000110=>0110001=>1011000 [4,2,1]=>1000101=>1010001=>1101000 [4,3]=>1000100=>0010001=>1001000 [5,1,1]=>1000011=>1100001=>1110000 [5,2]=>1000010=>0100001=>1010000 [6,1]=>1000001=>1000001=>1100000 [7]=>1000000=>0000001=>1000000 [1,1,1,1,1,1,1,1]=>11111111=>11111111=>11111111 [1,1,1,1,1,1,2]=>11111110=>01111111=>10111111 [1,1,1,1,1,2,1]=>11111101=>10111111=>11011111 [1,1,1,1,1,3]=>11111100=>00111111=>10011111 [1,1,1,1,2,1,1]=>11111011=>11011111=>11101111 [1,1,1,1,2,2]=>11111010=>01011111=>10101111 [1,1,1,1,3,1]=>11111001=>10011111=>11001111 [1,1,1,1,4]=>11111000=>00011111=>10001111 [1,1,1,2,1,1,1]=>11110111=>11101111=>11110111 [1,1,1,2,1,2]=>11110110=>01101111=>10110111 [1,1,1,2,2,1]=>11110101=>10101111=>11010111 [1,1,1,2,3]=>11110100=>00101111=>10010111 [1,1,1,3,1,1]=>11110011=>11001111=>11100111 [1,1,1,3,2]=>11110010=>01001111=>10100111 [1,1,1,4,1]=>11110001=>10001111=>11000111 [1,1,1,5]=>11110000=>00001111=>10000111 [1,1,2,1,1,1,1]=>11101111=>11110111=>11111011 [1,1,2,1,1,2]=>11101110=>01110111=>10111011 [1,1,2,1,2,1]=>11101101=>10110111=>11011011 [1,1,2,1,3]=>11101100=>00110111=>10011011 [1,1,2,2,1,1]=>11101011=>11010111=>11101011 [1,1,2,2,2]=>11101010=>01010111=>10101011 [1,1,2,3,1]=>11101001=>10010111=>11001011 [1,1,2,4]=>11101000=>00010111=>10001011 [1,1,3,1,1,1]=>11100111=>11100111=>11110011 [1,1,3,1,2]=>11100110=>01100111=>10110011 [1,1,3,2,1]=>11100101=>10100111=>11010011 [1,1,3,3]=>11100100=>00100111=>10010011 [1,1,4,1,1]=>11100011=>11000111=>11100011 [1,1,4,2]=>11100010=>01000111=>10100011 [1,1,5,1]=>11100001=>10000111=>11000011 [1,1,6]=>11100000=>00000111=>10000011 [1,2,1,1,1,1,1]=>11011111=>11111011=>11111101 [1,2,1,1,1,2]=>11011110=>01111011=>10111101 [1,2,1,1,2,1]=>11011101=>10111011=>11011101 [1,2,1,1,3]=>11011100=>00111011=>10011101 [1,2,1,2,1,1]=>11011011=>11011011=>11101101 [1,2,1,2,2]=>11011010=>01011011=>10101101 [1,2,1,3,1]=>11011001=>10011011=>11001101 [1,2,1,4]=>11011000=>00011011=>10001101 [1,2,2,1,1,1]=>11010111=>11101011=>11110101 [1,2,2,1,2]=>11010110=>01101011=>10110101 [1,2,2,2,1]=>11010101=>10101011=>11010101 [1,2,2,3]=>11010100=>00101011=>10010101 [1,2,3,1,1]=>11010011=>11001011=>11100101 [1,2,3,2]=>11010010=>01001011=>10100101 [1,2,4,1]=>11010001=>10001011=>11000101 [1,2,5]=>11010000=>00001011=>10000101 [1,3,1,1,1,1]=>11001111=>11110011=>11111001 [1,3,1,1,2]=>11001110=>01110011=>10111001 [1,3,1,2,1]=>11001101=>10110011=>11011001 [1,3,1,3]=>11001100=>00110011=>10011001 [1,3,2,1,1]=>11001011=>11010011=>11101001 [1,3,2,2]=>11001010=>01010011=>10101001 [1,3,3,1]=>11001001=>10010011=>11001001 [1,3,4]=>11001000=>00010011=>10001001 [1,4,1,1,1]=>11000111=>11100011=>11110001 [1,4,1,2]=>11000110=>01100011=>10110001 [1,4,2,1]=>11000101=>10100011=>11010001 [1,4,3]=>11000100=>00100011=>10010001 [1,5,1,1]=>11000011=>11000011=>11100001 [1,5,2]=>11000010=>01000011=>10100001 [1,6,1]=>11000001=>10000011=>11000001 [1,7]=>11000000=>00000011=>10000001 [2,1,1,1,1,1,1]=>10111111=>11111101=>11111110 [2,1,1,1,1,2]=>10111110=>01111101=>10111110 [2,1,1,1,2,1]=>10111101=>10111101=>11011110 [2,1,1,1,3]=>10111100=>00111101=>10011110 [2,1,1,2,1,1]=>10111011=>11011101=>11101110 [2,1,1,2,2]=>10111010=>01011101=>10101110 [2,1,1,3,1]=>10111001=>10011101=>11001110 [2,1,1,4]=>10111000=>00011101=>10001110 [2,1,2,1,1,1]=>10110111=>11101101=>11110110 [2,1,2,1,2]=>10110110=>01101101=>10110110 [2,1,2,2,1]=>10110101=>10101101=>11010110 [2,1,2,3]=>10110100=>00101101=>10010110 [2,1,3,1,1]=>10110011=>11001101=>11100110 [2,1,3,2]=>10110010=>01001101=>10100110 [2,1,4,1]=>10110001=>10001101=>11000110 [2,1,5]=>10110000=>00001101=>10000110 [2,2,1,1,1,1]=>10101111=>11110101=>11111010 [2,2,1,1,2]=>10101110=>01110101=>10111010 [2,2,1,2,1]=>10101101=>10110101=>11011010 [2,2,1,3]=>10101100=>00110101=>10011010 [2,2,2,1,1]=>10101011=>11010101=>11101010 [2,2,2,2]=>10101010=>01010101=>10101010 [2,2,3,1]=>10101001=>10010101=>11001010 [2,2,4]=>10101000=>00010101=>10001010 [2,3,1,1,1]=>10100111=>11100101=>11110010 [2,3,1,2]=>10100110=>01100101=>10110010 [2,3,2,1]=>10100101=>10100101=>11010010 [2,3,3]=>10100100=>00100101=>10010010 [2,4,1,1]=>10100011=>11000101=>11100010 [2,4,2]=>10100010=>01000101=>10100010 [2,5,1]=>10100001=>10000101=>11000010 [2,6]=>10100000=>00000101=>10000010 [3,1,1,1,1,1]=>10011111=>11111001=>11111100 [3,1,1,1,2]=>10011110=>01111001=>10111100 [3,1,1,2,1]=>10011101=>10111001=>11011100 [3,1,1,3]=>10011100=>00111001=>10011100 [3,1,2,1,1]=>10011011=>11011001=>11101100 [3,1,2,2]=>10011010=>01011001=>10101100 [3,1,3,1]=>10011001=>10011001=>11001100 [3,1,4]=>10011000=>00011001=>10001100 [3,2,1,1,1]=>10010111=>11101001=>11110100 [3,2,1,2]=>10010110=>01101001=>10110100 [3,2,2,1]=>10010101=>10101001=>11010100 [3,2,3]=>10010100=>00101001=>10010100 [3,3,1,1]=>10010011=>11001001=>11100100 [3,3,2]=>10010010=>01001001=>10100100 [3,4,1]=>10010001=>10001001=>11000100 [3,5]=>10010000=>00001001=>10000100 [4,1,1,1,1]=>10001111=>11110001=>11111000 [4,1,1,2]=>10001110=>01110001=>10111000 [4,1,2,1]=>10001101=>10110001=>11011000 [4,1,3]=>10001100=>00110001=>10011000 [4,2,1,1]=>10001011=>11010001=>11101000 [4,2,2]=>10001010=>01010001=>10101000 [4,3,1]=>10001001=>10010001=>11001000 [4,4]=>10001000=>00010001=>10001000 [5,1,1,1]=>10000111=>11100001=>11110000 [5,1,2]=>10000110=>01100001=>10110000 [5,2,1]=>10000101=>10100001=>11010000 [5,3]=>10000100=>00100001=>10010000 [6,1,1]=>10000011=>11000001=>11100000 [6,2]=>10000010=>01000001=>10100000 [7,1]=>10000001=>10000001=>11000000 [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=>101111111 [1,1,1,1,1,1,2,1]=>111111101=>101111111=>110111111 [1,1,1,1,1,1,3]=>111111100=>001111111=>100111111 [1,1,1,1,1,2,1,1]=>111111011=>110111111=>111011111 [1,1,1,1,1,2,2]=>111111010=>010111111=>101011111 [1,1,1,1,1,3,1]=>111111001=>100111111=>110011111 [1,1,1,1,1,4]=>111111000=>000111111=>100011111 [1,1,1,1,2,1,1,1]=>111110111=>111011111=>111101111 [1,1,1,1,2,1,2]=>111110110=>011011111=>101101111 [1,1,1,1,2,2,1]=>111110101=>101011111=>110101111 [1,1,1,1,2,3]=>111110100=>001011111=>100101111 [1,1,1,1,3,1,1]=>111110011=>110011111=>111001111 [1,1,1,1,3,2]=>111110010=>010011111=>101001111 [1,1,1,1,4,1]=>111110001=>100011111=>110001111 [1,1,1,1,5]=>111110000=>000011111=>100001111 [1,1,1,2,1,1,1,1]=>111101111=>111101111=>111110111 [1,1,1,2,1,1,2]=>111101110=>011101111=>101110111 [1,1,1,2,1,2,1]=>111101101=>101101111=>110110111 [1,1,1,2,1,3]=>111101100=>001101111=>100110111 [1,1,1,2,2,1,1]=>111101011=>110101111=>111010111 [1,1,1,2,2,2]=>111101010=>010101111=>101010111 [1,1,1,2,3,1]=>111101001=>100101111=>110010111 [1,1,1,2,4]=>111101000=>000101111=>100010111 [1,1,1,3,1,1,1]=>111100111=>111001111=>111100111 [1,1,1,3,1,2]=>111100110=>011001111=>101100111 [1,1,1,3,2,1]=>111100101=>101001111=>110100111 [1,1,1,3,3]=>111100100=>001001111=>100100111 [1,1,1,4,1,1]=>111100011=>110001111=>111000111 [1,1,1,4,2]=>111100010=>010001111=>101000111 [1,1,1,5,1]=>111100001=>100001111=>110000111 [1,1,1,6]=>111100000=>000001111=>100000111 [1,1,2,1,1,1,1,1]=>111011111=>111110111=>111111011 [1,1,2,1,1,1,2]=>111011110=>011110111=>101111011 [1,1,2,1,1,2,1]=>111011101=>101110111=>110111011 [1,1,2,1,1,3]=>111011100=>001110111=>100111011 [1,1,2,1,2,1,1]=>111011011=>110110111=>111011011 [1,1,2,1,2,2]=>111011010=>010110111=>101011011 [1,1,2,1,3,1]=>111011001=>100110111=>110011011 [1,1,2,1,4]=>111011000=>000110111=>100011011 [1,1,2,2,1,1,1]=>111010111=>111010111=>111101011 [1,1,2,2,1,2]=>111010110=>011010111=>101101011 [1,1,2,2,2,1]=>111010101=>101010111=>110101011 [1,1,2,2,3]=>111010100=>001010111=>100101011 [1,1,2,3,1,1]=>111010011=>110010111=>111001011 [1,1,2,3,2]=>111010010=>010010111=>101001011 [1,1,2,4,1]=>111010001=>100010111=>110001011 [1,1,2,5]=>111010000=>000010111=>100001011 [1,1,3,1,1,1,1]=>111001111=>111100111=>111110011 [1,1,3,1,1,2]=>111001110=>011100111=>101110011 [1,1,3,1,2,1]=>111001101=>101100111=>110110011 [1,1,3,1,3]=>111001100=>001100111=>100110011 [1,1,3,2,1,1]=>111001011=>110100111=>111010011 [1,1,3,2,2]=>111001010=>010100111=>101010011 [1,1,3,3,1]=>111001001=>100100111=>110010011 [1,1,3,4]=>111001000=>000100111=>100010011 [1,1,4,1,1,1]=>111000111=>111000111=>111100011 [1,1,4,1,2]=>111000110=>011000111=>101100011 [1,1,4,2,1]=>111000101=>101000111=>110100011 [1,1,4,3]=>111000100=>001000111=>100100011 [1,1,5,1,1]=>111000011=>110000111=>111000011 [1,1,5,2]=>111000010=>010000111=>101000011 [1,1,6,1]=>111000001=>100000111=>110000011 [1,1,7]=>111000000=>000000111=>100000011 [1,2,1,1,1,1,1,1]=>110111111=>111111011=>111111101 [1,2,1,1,1,1,2]=>110111110=>011111011=>101111101 [1,2,1,1,1,2,1]=>110111101=>101111011=>110111101 [1,2,1,1,1,3]=>110111100=>001111011=>100111101 [1,2,1,1,2,1,1]=>110111011=>110111011=>111011101 [1,2,1,1,2,2]=>110111010=>010111011=>101011101 [1,2,1,1,3,1]=>110111001=>100111011=>110011101 [1,2,1,1,4]=>110111000=>000111011=>100011101 [1,2,1,2,1,1,1]=>110110111=>111011011=>111101101 [1,2,1,2,1,2]=>110110110=>011011011=>101101101 [1,2,1,2,2,1]=>110110101=>101011011=>110101101 [1,2,1,2,3]=>110110100=>001011011=>100101101 [1,2,1,3,1,1]=>110110011=>110011011=>111001101 [1,2,1,3,2]=>110110010=>010011011=>101001101 [1,2,1,4,1]=>110110001=>100011011=>110001101 [1,2,1,5]=>110110000=>000011011=>100001101 [1,2,2,1,1,1,1]=>110101111=>111101011=>111110101 [1,2,2,1,1,2]=>110101110=>011101011=>101110101 [1,2,2,1,2,1]=>110101101=>101101011=>110110101 [1,2,2,1,3]=>110101100=>001101011=>100110101 [1,2,2,2,1,1]=>110101011=>110101011=>111010101 [1,2,2,2,2]=>110101010=>010101011=>101010101 [1,2,2,3,1]=>110101001=>100101011=>110010101 [1,2,2,4]=>110101000=>000101011=>100010101 [1,2,3,1,1,1]=>110100111=>111001011=>111100101 [1,2,3,1,2]=>110100110=>011001011=>101100101 [1,2,3,2,1]=>110100101=>101001011=>110100101 [1,2,3,3]=>110100100=>001001011=>100100101 [1,2,4,1,1]=>110100011=>110001011=>111000101 [1,2,4,2]=>110100010=>010001011=>101000101 [1,2,5,1]=>110100001=>100001011=>110000101 [1,2,6]=>110100000=>000001011=>100000101 [1,3,1,1,1,1,1]=>110011111=>111110011=>111111001 [1,3,1,1,1,2]=>110011110=>011110011=>101111001 [1,3,1,1,2,1]=>110011101=>101110011=>110111001 [1,3,1,1,3]=>110011100=>001110011=>100111001 [1,3,1,2,1,1]=>110011011=>110110011=>111011001 [1,3,1,2,2]=>110011010=>010110011=>101011001 [1,3,1,3,1]=>110011001=>100110011=>110011001 [1,3,1,4]=>110011000=>000110011=>100011001 [1,3,2,1,1,1]=>110010111=>111010011=>111101001 [1,3,2,1,2]=>110010110=>011010011=>101101001 [1,3,2,2,1]=>110010101=>101010011=>110101001 [1,3,2,3]=>110010100=>001010011=>100101001 [1,3,3,1,1]=>110010011=>110010011=>111001001 [1,3,3,2]=>110010010=>010010011=>101001001 [1,3,4,1]=>110010001=>100010011=>110001001 [1,3,5]=>110010000=>000010011=>100001001 [1,4,1,1,1,1]=>110001111=>111100011=>111110001 [1,4,1,1,2]=>110001110=>011100011=>101110001 [1,4,1,2,1]=>110001101=>101100011=>110110001 [1,4,1,3]=>110001100=>001100011=>100110001 [1,4,2,1,1]=>110001011=>110100011=>111010001 [1,4,2,2]=>110001010=>010100011=>101010001 [1,4,3,1]=>110001001=>100100011=>110010001 [1,4,4]=>110001000=>000100011=>100010001 [1,5,1,1,1]=>110000111=>111000011=>111100001 [1,5,1,2]=>110000110=>011000011=>101100001 [1,5,2,1]=>110000101=>101000011=>110100001 [1,5,3]=>110000100=>001000011=>100100001 [1,6,1,1]=>110000011=>110000011=>111000001 [1,6,2]=>110000010=>010000011=>101000001 [1,7,1]=>110000001=>100000011=>110000001 [1,8]=>110000000=>000000011=>100000001 [2,1,1,1,1,1,1,1]=>101111111=>111111101=>111111110 [2,1,1,1,1,1,2]=>101111110=>011111101=>101111110 [2,1,1,1,1,2,1]=>101111101=>101111101=>110111110 [2,1,1,1,1,3]=>101111100=>001111101=>100111110 [2,1,1,1,2,1,1]=>101111011=>110111101=>111011110 [2,1,1,1,2,2]=>101111010=>010111101=>101011110 [2,1,1,1,3,1]=>101111001=>100111101=>110011110 [2,1,1,1,4]=>101111000=>000111101=>100011110 [2,1,1,2,1,1,1]=>101110111=>111011101=>111101110 [2,1,1,2,1,2]=>101110110=>011011101=>101101110 [2,1,1,2,2,1]=>101110101=>101011101=>110101110 [2,1,1,2,3]=>101110100=>001011101=>100101110 [2,1,1,3,1,1]=>101110011=>110011101=>111001110 [2,1,1,3,2]=>101110010=>010011101=>101001110 [2,1,1,4,1]=>101110001=>100011101=>110001110 [2,1,1,5]=>101110000=>000011101=>100001110 [2,1,2,1,1,1,1]=>101101111=>111101101=>111110110 [2,1,2,1,1,2]=>101101110=>011101101=>101110110 [2,1,2,1,2,1]=>101101101=>101101101=>110110110 [2,1,2,1,3]=>101101100=>001101101=>100110110 [2,1,2,2,1,1]=>101101011=>110101101=>111010110 [2,1,2,2,2]=>101101010=>010101101=>101010110 [2,1,2,3,1]=>101101001=>100101101=>110010110 [2,1,2,4]=>101101000=>000101101=>100010110 [2,1,3,1,1,1]=>101100111=>111001101=>111100110 [2,1,3,1,2]=>101100110=>011001101=>101100110 [2,1,3,2,1]=>101100101=>101001101=>110100110 [2,1,3,3]=>101100100=>001001101=>100100110 [2,1,4,1,1]=>101100011=>110001101=>111000110 [2,1,4,2]=>101100010=>010001101=>101000110 [2,1,5,1]=>101100001=>100001101=>110000110 [2,1,6]=>101100000=>000001101=>100000110 [2,2,1,1,1,1,1]=>101011111=>111110101=>111111010 [2,2,1,1,1,2]=>101011110=>011110101=>101111010 [2,2,1,1,2,1]=>101011101=>101110101=>110111010 [2,2,1,1,3]=>101011100=>001110101=>100111010 [2,2,1,2,1,1]=>101011011=>110110101=>111011010 [2,2,1,2,2]=>101011010=>010110101=>101011010 [2,2,1,3,1]=>101011001=>100110101=>110011010 [2,2,1,4]=>101011000=>000110101=>100011010 [2,2,2,1,1,1]=>101010111=>111010101=>111101010 [2,2,2,1,2]=>101010110=>011010101=>101101010 [2,2,2,2,1]=>101010101=>101010101=>110101010 [2,2,2,3]=>101010100=>001010101=>100101010 [2,2,3,1,1]=>101010011=>110010101=>111001010 [2,2,3,2]=>101010010=>010010101=>101001010 [2,2,4,1]=>101010001=>100010101=>110001010 [2,2,5]=>101010000=>000010101=>100001010 [2,3,1,1,1,1]=>101001111=>111100101=>111110010 [2,3,1,1,2]=>101001110=>011100101=>101110010 [2,3,1,2,1]=>101001101=>101100101=>110110010 [2,3,1,3]=>101001100=>001100101=>100110010 [2,3,2,1,1]=>101001011=>110100101=>111010010 [2,3,2,2]=>101001010=>010100101=>101010010 [2,3,3,1]=>101001001=>100100101=>110010010 [2,3,4]=>101001000=>000100101=>100010010 [2,4,1,1,1]=>101000111=>111000101=>111100010 [2,4,1,2]=>101000110=>011000101=>101100010 [2,4,2,1]=>101000101=>101000101=>110100010 [2,4,3]=>101000100=>001000101=>100100010 [2,5,1,1]=>101000011=>110000101=>111000010 [2,5,2]=>101000010=>010000101=>101000010 [2,6,1]=>101000001=>100000101=>110000010 [2,7]=>101000000=>000000101=>100000010 [3,1,1,1,1,1,1]=>100111111=>111111001=>111111100 [3,1,1,1,1,2]=>100111110=>011111001=>101111100 [3,1,1,1,2,1]=>100111101=>101111001=>110111100 [3,1,1,1,3]=>100111100=>001111001=>100111100 [3,1,1,2,1,1]=>100111011=>110111001=>111011100 [3,1,1,2,2]=>100111010=>010111001=>101011100 [3,1,1,3,1]=>100111001=>100111001=>110011100 [3,1,1,4]=>100111000=>000111001=>100011100 [3,1,2,1,1,1]=>100110111=>111011001=>111101100 [3,1,2,1,2]=>100110110=>011011001=>101101100 [3,1,2,2,1]=>100110101=>101011001=>110101100 [3,1,2,3]=>100110100=>001011001=>100101100 [3,1,3,1,1]=>100110011=>110011001=>111001100 [3,1,3,2]=>100110010=>010011001=>101001100 [3,1,4,1]=>100110001=>100011001=>110001100 [3,1,5]=>100110000=>000011001=>100001100 [3,2,1,1,1,1]=>100101111=>111101001=>111110100 [3,2,1,1,2]=>100101110=>011101001=>101110100 [3,2,1,2,1]=>100101101=>101101001=>110110100 [3,2,1,3]=>100101100=>001101001=>100110100 [3,2,2,1,1]=>100101011=>110101001=>111010100 [3,2,2,2]=>100101010=>010101001=>101010100 [3,2,3,1]=>100101001=>100101001=>110010100 [3,2,4]=>100101000=>000101001=>100010100 [3,3,1,1,1]=>100100111=>111001001=>111100100 [3,3,1,2]=>100100110=>011001001=>101100100 [3,3,2,1]=>100100101=>101001001=>110100100 [3,3,3]=>100100100=>001001001=>100100100 [3,4,1,1]=>100100011=>110001001=>111000100 [3,4,2]=>100100010=>010001001=>101000100 [3,5,1]=>100100001=>100001001=>110000100 [3,6]=>100100000=>000001001=>100000100 [4,1,1,1,1,1]=>100011111=>111110001=>111111000 [4,1,1,1,2]=>100011110=>011110001=>101111000 [4,1,1,2,1]=>100011101=>101110001=>110111000 [4,1,1,3]=>100011100=>001110001=>100111000 [4,1,2,1,1]=>100011011=>110110001=>111011000 [4,1,2,2]=>100011010=>010110001=>101011000 [4,1,3,1]=>100011001=>100110001=>110011000 [4,1,4]=>100011000=>000110001=>100011000 [4,2,1,1,1]=>100010111=>111010001=>111101000 [4,2,1,2]=>100010110=>011010001=>101101000 [4,2,2,1]=>100010101=>101010001=>110101000 [4,2,3]=>100010100=>001010001=>100101000 [4,3,1,1]=>100010011=>110010001=>111001000 [4,3,2]=>100010010=>010010001=>101001000 [4,4,1]=>100010001=>100010001=>110001000 [4,5]=>100010000=>000010001=>100001000 [5,1,1,1,1]=>100001111=>111100001=>111110000 [5,1,1,2]=>100001110=>011100001=>101110000 [5,1,2,1]=>100001101=>101100001=>110110000 [5,1,3]=>100001100=>001100001=>100110000 [5,2,1,1]=>100001011=>110100001=>111010000 [5,2,2]=>100001010=>010100001=>101010000 [5,3,1]=>100001001=>100100001=>110010000 [5,4]=>100001000=>000100001=>100010000 [6,1,1,1]=>100000111=>111000001=>111100000 [6,1,2]=>100000110=>011000001=>101100000 [6,2,1]=>100000101=>101000001=>110100000 [6,3]=>100000100=>001000001=>100100000 [7,1,1]=>100000011=>110000001=>111000000 [7,2]=>100000010=>010000001=>101000000 [8,1]=>100000001=>100000001=>110000000 [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=>1011111111 [1,1,1,1,1,1,2,1,1]=>1111111011=>1101111111=>1110111111 [1,1,1,1,1,1,3,1]=>1111111001=>1001111111=>1100111111 [1,1,1,1,1,2,1,1,1]=>1111110111=>1110111111=>1111011111 [1,1,1,1,1,2,1,2]=>1111110110=>0110111111=>1011011111 [1,1,1,1,1,3,1,1]=>1111110011=>1100111111=>1110011111 [1,1,1,1,1,5]=>1111110000=>0000111111=>1000011111 [1,1,1,1,2,1,2,1]=>1111101101=>1011011111=>1101101111 [1,1,1,1,2,2,1,1]=>1111101011=>1101011111=>1110101111 [1,1,1,1,3,1,1,1]=>1111100111=>1110011111=>1111001111 [1,1,1,1,5,1]=>1111100001=>1000011111=>1100001111 [1,1,1,1,6]=>1111100000=>0000011111=>1000001111 [1,1,1,2,1,1,1,2]=>1111011110=>0111101111=>1011110111 [1,1,1,2,1,4]=>1111011000=>0001101111=>1000110111 [1,1,1,2,3,2]=>1111010010=>0100101111=>1010010111 [1,1,1,2,5]=>1111010000=>0000101111=>1000010111 [1,1,1,3,1,3]=>1111001100=>0011001111=>1001100111 [1,1,1,3,2,2]=>1111001010=>0101001111=>1010100111 [1,1,1,3,4]=>1111001000=>0001001111=>1000100111 [1,1,1,4,3]=>1111000100=>0010001111=>1001000111 [1,1,1,5,1,1]=>1111000011=>1100001111=>1110000111 [1,1,1,5,2]=>1111000010=>0100001111=>1010000111 [1,1,2,1,1,1,2,1]=>1110111101=>1011110111=>1101111011 [1,1,2,1,1,4]=>1110111000=>0001110111=>1000111011 [1,1,2,1,2,1,1,1]=>1110110111=>1110110111=>1111011011 [1,1,2,1,3,2]=>1110110010=>0100110111=>1010011011 [1,1,2,1,4,1]=>1110110001=>1000110111=>1100011011 [1,1,2,1,5]=>1110110000=>0000110111=>1000011011 [1,1,2,2,1,3]=>1110101100=>0011010111=>1001101011 [1,1,2,2,4]=>1110101000=>0001010111=>1000101011 [1,1,2,3,2,1]=>1110100101=>1010010111=>1101001011 [1,1,2,3,3]=>1110100100=>0010010111=>1001001011 [1,1,2,4,2]=>1110100010=>0100010111=>1010001011 [1,1,3,1,1,1,1,1]=>1110011111=>1111100111=>1111110011 [1,1,3,1,3,1]=>1110011001=>1001100111=>1100110011 [1,1,3,1,4]=>1110011000=>0001100111=>1000110011 [1,1,3,2,3]=>1110010100=>0010100111=>1001010011 [1,1,3,3,2]=>1110010010=>0100100111=>1010010011 [1,1,4,1,2,1]=>1110001101=>1011000111=>1101100011 [1,1,4,1,3]=>1110001100=>0011000111=>1001100011 [1,1,4,2,2]=>1110001010=>0101000111=>1010100011 [1,1,5,1,1,1]=>1110000111=>1110000111=>1111000011 [1,1,6,1,1]=>1110000011=>1100000111=>1110000011 [1,1,7,1]=>1110000001=>1000000111=>1100000011 [1,2,1,1,1,1,1,2]=>1101111110=>0111111011=>1011111101 [1,2,1,1,5]=>1101110000=>0000111011=>1000011101 [1,2,1,2,4]=>1101101000=>0001011011=>1000101101 [1,2,1,3,1,2]=>1101100110=>0110011011=>1011001101 [1,2,1,3,3]=>1101100100=>0010011011=>1001001101 [1,2,1,4,2]=>1101100010=>0100011011=>1010001101 [1,2,1,6]=>1101100000=>0000011011=>1000001101 [1,2,2,1,4]=>1101011000=>0001101011=>1000110101 [1,2,2,2,1,2]=>1101010110=>0110101011=>1011010101 [1,2,2,2,3]=>1101010100=>0010101011=>1001010101 [1,2,2,3,2]=>1101010010=>0100101011=>1010010101 [1,2,3,1,3]=>1101001100=>0011001011=>1001100101 [1,2,3,2,2]=>1101001010=>0101001011=>1010100101 [1,3,1,1,2,2]=>1100111010=>0101110011=>1010111001 [1,3,1,1,4]=>1100111000=>0001110011=>1000111001 [1,3,1,2,1,2]=>1100110110=>0110110011=>1011011001 [1,3,1,2,3]=>1100110100=>0010110011=>1001011001 [1,3,1,3,1,1]=>1100110011=>1100110011=>1110011001 [1,3,1,3,2]=>1100110010=>0100110011=>1010011001 [1,3,2,1,1,2]=>1100101110=>0111010011=>1011101001 [1,3,2,1,3]=>1100101100=>0011010011=>1001101001 [1,3,2,2,1,1]=>1100101011=>1101010011=>1110101001 [1,3,2,2,2]=>1100101010=>0101010011=>1010101001 [1,3,3,1,1,1]=>1100100111=>1110010011=>1111001001 [1,3,3,1,2]=>1100100110=>0110010011=>1011001001 [1,3,4,2]=>1100100010=>0100010011=>1010001001 [1,4,1,1,1,2]=>1100011110=>0111100011=>1011110001 [1,4,1,2,1,1]=>1100011011=>1101100011=>1110110001 [1,4,1,2,2]=>1100011010=>0101100011=>1010110001 [1,4,1,4]=>1100011000=>0001100011=>1000110001 [1,4,2,1,1,1]=>1100010111=>1110100011=>1111010001 [1,4,2,1,2]=>1100010110=>0110100011=>1011010001 [1,4,3,2]=>1100010010=>0100100011=>1010010001 [1,5,1,1,1,1]=>1100001111=>1111000011=>1111100001 [1,5,1,1,2]=>1100001110=>0111000011=>1011100001 [1,5,2,1,1]=>1100001011=>1101000011=>1110100001 [1,5,2,2]=>1100001010=>0101000011=>1010100001 [1,6,1,1,1]=>1100000111=>1110000011=>1111000001 [1,6,1,2]=>1100000110=>0110000011=>1011000001 [1,8,1]=>1100000001=>1000000011=>1100000001 [1,9]=>1100000000=>0000000011=>1000000001 [2,1,1,1,1,1,1,2]=>1011111110=>0111111101=>1011111110 [2,1,1,1,1,1,2,1]=>1011111101=>1011111101=>1101111110 [2,1,1,1,2,1,1,1]=>1011110111=>1110111101=>1111011110 [2,1,1,1,4,1]=>1011110001=>1000111101=>1100011110 [2,1,1,1,5]=>1011110000=>0000111101=>1000011110 [2,1,1,2,4]=>1011101000=>0001011101=>1000101110 [2,1,1,3,2,1]=>1011100101=>1010011101=>1101001110 [2,1,1,3,3]=>1011100100=>0010011101=>1001001110 [2,1,1,4,2]=>1011100010=>0100011101=>1010001110 [2,1,2,1,1,1,1,1]=>1011011111=>1111101101=>1111110110 [2,1,2,1,3,1]=>1011011001=>1001101101=>1100110110 [2,1,2,1,4]=>1011011000=>0001101101=>1000110110 [2,1,2,2,3]=>1011010100=>0010101101=>1001010110 [2,1,2,3,2]=>1011010010=>0100101101=>1010010110 [2,1,3,1,2,1]=>1011001101=>1011001101=>1101100110 [2,1,3,1,3]=>1011001100=>0011001101=>1001100110 [2,1,3,2,1,1]=>1011001011=>1101001101=>1110100110 [2,1,3,2,2]=>1011001010=>0101001101=>1010100110 [2,1,4,1,1,1]=>1011000111=>1110001101=>1111000110 [2,1,6,1]=>1011000001=>1000001101=>1100000110 [2,1,7]=>1011000000=>0000001101=>1000000110 [2,2,1,1,1,1,2]=>1010111110=>0111110101=>1011111010 [2,2,1,1,4]=>1010111000=>0001110101=>1000111010 [2,2,1,2,2,1]=>1010110101=>1010110101=>1101011010 [2,2,1,2,3]=>1010110100=>0010110101=>1001011010 [2,2,1,3,1,1]=>1010110011=>1100110101=>1110011010 [2,2,1,3,2]=>1010110010=>0100110101=>1010011010 [2,2,1,4,1]=>1010110001=>1000110101=>1100011010 [2,2,1,5]=>1010110000=>0000110101=>1000011010 [2,2,2,1,2,1]=>1010101101=>1011010101=>1101101010 [2,2,2,1,3]=>1010101100=>0011010101=>1001101010 [2,2,2,2,1,1]=>1010101011=>1101010101=>1110101010 [2,2,2,2,2]=>1010101010=>0101010101=>1010101010 [2,2,2,4]=>1010101000=>0001010101=>1000101010 [2,2,3,1,1,1]=>1010100111=>1110010101=>1111001010 [2,2,3,1,2]=>1010100110=>0110010101=>1011001010 [2,2,4,2]=>1010100010=>0100010101=>1010001010 [2,3,1,1,1,2]=>1010011110=>0111100101=>1011110010 [2,3,1,1,2,1]=>1010011101=>1011100101=>1101110010 [2,3,1,2,1,1]=>1010011011=>1101100101=>1110110010 [2,3,2,1,1,1]=>1010010111=>1110100101=>1111010010 [2,3,4,1]=>1010010001=>1000100101=>1100010010 [2,4,1,1,1,1]=>1010001111=>1111000101=>1111100010 [2,4,2,2]=>1010001010=>0101000101=>1010100010 [2,5,2,1]=>1010000101=>1010000101=>1101000010 [2,7,1]=>1010000001=>1000000101=>1100000010 [3,1,1,1,1,1,1,1]=>1001111111=>1111111001=>1111111100 [3,1,1,1,1,1,2]=>1001111110=>0111111001=>1011111100 [3,1,1,1,3,1]=>1001111001=>1001111001=>1100111100 [3,1,1,3,1,1]=>1001110011=>1100111001=>1110011100 [3,1,1,3,2]=>1001110010=>0100111001=>1010011100 [3,1,2,1,1,2]=>1001101110=>0111011001=>1011101100 [3,1,2,1,2,1]=>1001101101=>1011011001=>1101101100 [3,1,2,2,1,1]=>1001101011=>1101011001=>1110101100 [3,1,3,1,1,1]=>1001100111=>1110011001=>1111001100 [3,1,3,1,2]=>1001100110=>0110011001=>1011001100 [3,1,4,2]=>1001100010=>0100011001=>1010001100 [3,1,5,1]=>1001100001=>1000011001=>1100001100 [3,1,6]=>1001100000=>0000011001=>1000001100 [3,2,1,1,1,2]=>1001011110=>0111101001=>1011110100 [3,2,1,2,1,1]=>1001011011=>1101101001=>1110110100 [3,2,1,4]=>1001011000=>0001101001=>1000110100 [3,2,2,1,1,1]=>1001010111=>1110101001=>1111010100 [3,2,3,2]=>1001010010=>0100101001=>1010010100 [3,3,1,1,1,1]=>1001001111=>1111001001=>1111100100 [4,1,1,1,1,2]=>1000111110=>0111110001=>1011111000 [4,1,1,1,2,1]=>1000111101=>1011110001=>1101111000 [4,1,1,1,3]=>1000111100=>0011110001=>1001111000 [4,1,1,2,1,1]=>1000111011=>1101110001=>1110111000 [4,1,1,2,2]=>1000111010=>0101110001=>1010111000 [4,1,2,1,1,1]=>1000110111=>1110110001=>1111011000 [4,1,2,1,2]=>1000110110=>0110110001=>1011011000 [4,1,3,2]=>1000110010=>0100110001=>1010011000 [4,1,4,1]=>1000110001=>1000110001=>1100011000 [4,2,1,1,1,1]=>1000101111=>1111010001=>1111101000 [4,2,1,1,2]=>1000101110=>0111010001=>1011101000 [4,2,2,1,1]=>1000101011=>1101010001=>1110101000 [4,2,2,2]=>1000101010=>0101010001=>1010101000 [4,3,1,2]=>1000100110=>0110010001=>1011001000 [4,3,2,1]=>1000100101=>1010010001=>1101001000 [4,6]=>1000100000=>0000010001=>1000001000 [5,1,1,1,1,1]=>1000011111=>1111100001=>1111110000 [5,1,1,1,2]=>1000011110=>0111100001=>1011110000 [5,1,2,1,1]=>1000011011=>1101100001=>1110110000 [5,1,2,2]=>1000011010=>0101100001=>1010110000 [5,1,3,1]=>1000011001=>1001100001=>1100110000 [5,2,1,1,1]=>1000010111=>1110100001=>1111010000 [5,2,1,2]=>1000010110=>0110100001=>1011010000 [5,3,2]=>1000010010=>0100100001=>1010010000 [6,1,1,1,1]=>1000001111=>1111000001=>1111100000 [6,1,1,2]=>1000001110=>0111000001=>1011100000 [6,1,2,1]=>1000001101=>1011000001=>1101100000 [6,2,2]=>1000001010=>0101000001=>1010100000 [6,4]=>1000001000=>0001000001=>1000100000 [7,1,1,1]=>1000000111=>1110000001=>1111000000 [7,1,2]=>1000000110=>0110000001=>1011000000 [7,3]=>1000000100=>0010000001=>1001000000 [8,2]=>1000000010=>0100000001=>1010000000 [9,1]=>1000000001=>1000000001=>1100000000 [10]=>1000000000=>0000000001=>1000000000 [3,2,2,1,2,1,1]=>100101011011=>110110101001=>111011010100 [1,4,2,1,2,1,1]=>110001011011=>110110100011=>111011010001 [3,1,2,2,2,1,1]=>100110101011=>110101011001=>111010101100 [1,3,2,2,2,1,1]=>110010101011=>110101010011=>111010101001 [5,1,1,2,1,1,1]=>100001110111=>111011100001=>111101110000 [3,3,1,2,1,1,1]=>100100110111=>111011001001=>111101100100 [1,5,1,2,1,1,1]=>110000110111=>111011000011=>111101100001 [3,1,3,2,1,1,1]=>100110010111=>111010011001=>111101001100 [1,3,3,2,1,1,1]=>110010010111=>111010010011=>111101001001 [3,1,1,4,1,1,1]=>100111000111=>111000111001=>111100011100 [1,3,1,4,1,1,1]=>110011000111=>111000110011=>111100011001 [2,2,2,2,2,1,1]=>101010101011=>110101010101=>111010101010 [2,3,3,1,1,1,1]=>101001001111=>111100100101=>111110010010 [2,3,2,1,2,1,1]=>101001011011=>110110100101=>111011010010 [2,3,1,1,3,1,1]=>101001110011=>110011100101=>111001110010 [1,3,4,1,1,1,1]=>110010001111=>111100010011=>111110001001 [1,3,3,1,2,1,1]=>110010011011=>110110010011=>111011001001 [1,3,2,1,3,1,1]=>110010110011=>110011010011=>111001101001 [4,1,3,1,1,1,1]=>100011001111=>111100110001=>111110011000 [2,2,3,2,1,1,1]=>101010010111=>111010010101=>111101001010 [2,1,3,3,1,1,1]=>101100100111=>111001001101=>111100100110 [3,2,1,2,2,1,1]=>100101101011=>110101101001=>111010110100 [3,1,1,3,2,1,1]=>100111001011=>110100111001=>111010011100 [3,3,2,1,1,1,1]=>100100101111=>111101001001=>111110100100 [3,2,2,2,1,1,1]=>100101010111=>111010101001=>111101010100 [3,1,2,3,1,1,1]=>100110100111=>111001011001=>111100101100 [4,3,1,1,1,1,1]=>100010011111=>111110010001=>111111001000 [4,2,1,2,1,1,1]=>100010110111=>111011010001=>111101101000 [4,1,1,3,1,1,1]=>100011100111=>111001110001=>111100111000 [4,1,1,2,1,2,1]=>100011101101=>101101110001=>110110111000 [5,1,2,1,1,1,1]=>100001101111=>111101100001=>111110110000 [1,3,1,3,1,2,1]=>110011001101=>101100110011=>110110011001 [1,3,1,3,2,1,1]=>110011001011=>110100110011=>111010011001 [1,3,2,3,1,1,1]=>110010100111=>111001010011=>111100101001 [1,3,3,1,1,2,1]=>110010011101=>101110010011=>110111001001 [1,4,1,1,2,2,1]=>110001110101=>101011100011=>110101110001 [1,4,1,1,3,1,1]=>110001110011=>110011100011=>111001110001 [1,4,1,2,1,2,1]=>110001101101=>101101100011=>110110110001 [1,4,1,2,2,1,1]=>110001101011=>110101100011=>111010110001 [1,4,1,3,1,1,1]=>110001100111=>111001100011=>111100110001 [1,4,2,1,1,2,1]=>110001011101=>101110100011=>110111010001 [1,4,2,2,1,1,1]=>110001010111=>111010100011=>111101010001 [1,4,3,1,1,1,1]=>110001001111=>111100100011=>111110010001 [1,5,1,1,2,1,1]=>110000111011=>110111000011=>111011100001 [1,5,2,1,1,1,1]=>110000101111=>111101000011=>111110100001 [1,6,1,1,1,1,1]=>110000011111=>111110000011=>111111000001 [2,1,3,1,3,1,1]=>101100110011=>110011001101=>111001100110 [2,1,3,2,2,1,1]=>101100101011=>110101001101=>111010100110 [2,1,4,1,2,1,1]=>101100011011=>110110001101=>111011000110 [2,1,4,2,1,1,1]=>101100010111=>111010001101=>111101000110 [2,1,5,1,1,1,1]=>101100001111=>111100001101=>111110000110 [2,2,1,3,2,1,1]=>101011001011=>110100110101=>111010011010 [2,2,1,4,1,1,1]=>101011000111=>111000110101=>111100011010 [2,2,2,1,3,1,1]=>101010110011=>110011010101=>111001101010 [2,2,2,3,1,1,1]=>101010100111=>111001010101=>111100101010 [2,2,3,1,2,1,1]=>101010011011=>110110010101=>111011001010 [2,2,4,1,1,1,1]=>101010001111=>111100010101=>111110001010 [2,3,1,2,2,1,1]=>101001101011=>110101100101=>111010110010 [2,3,1,3,1,1,1]=>101001100111=>111001100101=>111100110010 [2,3,2,2,1,1,1]=>101001010111=>111010100101=>111101010010 [2,4,1,1,2,1,1]=>101000111011=>110111000101=>111011100010 [2,4,1,2,1,1,1]=>101000110111=>111011000101=>111101100010 [2,4,2,1,1,1,1]=>101000101111=>111101000101=>111110100010 [2,5,1,1,1,1,1]=>101000011111=>111110000101=>111111000010 [3,1,1,3,1,2,1]=>100111001101=>101100111001=>110110011100 [3,1,2,1,3,1,1]=>100110110011=>110011011001=>111001101100 [3,1,3,1,1,2,1]=>100110011101=>101110011001=>110111001100 [3,1,3,1,2,1,1]=>100110011011=>110110011001=>111011001100 [3,1,4,1,1,1,1]=>100110001111=>111100011001=>111110001100 [3,2,1,1,3,1,1]=>100101110011=>110011101001=>111001110100 [3,2,1,3,1,1,1]=>100101100111=>111001101001=>111100110100 [3,2,3,1,1,1,1]=>100101001111=>111100101001=>111110010100 [3,3,1,1,2,1,1]=>100100111011=>110111001001=>111011100100 [3,4,1,1,1,1,1]=>100100011111=>111110001001=>111111000100 [4,1,1,1,2,2,1]=>100011110101=>101011110001=>110101111000 [4,1,1,1,3,1,1]=>100011110011=>110011110001=>111001111000 [4,1,1,2,2,1,1]=>100011101011=>110101110001=>111010111000 [4,1,2,1,1,2,1]=>100011011101=>101110110001=>110111011000 [4,1,2,1,2,1,1]=>100011011011=>110110110001=>111011011000 [4,1,2,2,1,1,1]=>100011010111=>111010110001=>111101011000 [4,2,1,1,2,1,1]=>100010111011=>110111010001=>111011101000 [4,2,2,1,1,1,1]=>100010101111=>111101010001=>111110101000 [5,1,1,1,2,1,1]=>100001111011=>110111100001=>111011110000 [5,2,1,1,1,1,1]=>100001011111=>111110100001=>111111010000 [6,1,1,1,1,1,1]=>100000111111=>111111000001=>111111100000