=>

[1]=>1=>1 [1,1]=>11=>11 [2]=>10=>01 [1,1,1]=>111=>111 [1,2]=>110=>101 [2,1]=>101=>011 [3]=>100=>001 [1,1,1,1]=>1111=>1111 [1,1,2]=>1110=>1101 [1,2,1]=>1101=>1011 [1,3]=>1100=>1001 [2,1,1]=>1011=>0111 [2,2]=>1010=>0101 [3,1]=>1001=>0011 [4]=>1000=>0001 [1,1,1,1,1]=>11111=>11111 [1,1,1,2]=>11110=>11101 [1,1,2,1]=>11101=>11011 [1,1,3]=>11100=>11001 [1,2,1,1]=>11011=>10111 [1,2,2]=>11010=>10101 [1,3,1]=>11001=>10011 [1,4]=>11000=>10001 [2,1,1,1]=>10111=>01111 [2,1,2]=>10110=>01101 [2,2,1]=>10101=>01011 [2,3]=>10100=>01001 [3,1,1]=>10011=>00111 [3,2]=>10010=>00101 [4,1]=>10001=>00011 [5]=>10000=>00001 [1,1,1,1,1,1]=>111111=>111111 [1,1,1,1,2]=>111110=>111101 [1,1,1,2,1]=>111101=>111011 [1,1,1,3]=>111100=>111001 [1,1,2,1,1]=>111011=>110111 [1,1,2,2]=>111010=>110101 [1,1,3,1]=>111001=>110011 [1,1,4]=>111000=>110001 [1,2,1,1,1]=>110111=>101111 [1,2,1,2]=>110110=>101101 [1,2,2,1]=>110101=>101011 [1,2,3]=>110100=>101001 [1,3,1,1]=>110011=>100111 [1,3,2]=>110010=>100101 [1,4,1]=>110001=>100011 [1,5]=>110000=>100001 [2,1,1,1,1]=>101111=>011111 [2,1,1,2]=>101110=>011101 [2,1,2,1]=>101101=>011011 [2,1,3]=>101100=>011001 [2,2,1,1]=>101011=>010111 [2,2,2]=>101010=>010101 [2,3,1]=>101001=>010011 [2,4]=>101000=>010001 [3,1,1,1]=>100111=>001111 [3,1,2]=>100110=>001101 [3,2,1]=>100101=>001011 [3,3]=>100100=>001001 [4,1,1]=>100011=>000111 [4,2]=>100010=>000101 [5,1]=>100001=>000011 [6]=>100000=>000001 [1,1,1,1,1,1,1]=>1111111=>1111111 [1,1,1,1,1,2]=>1111110=>1111101 [1,1,1,1,2,1]=>1111101=>1111011 [1,1,1,1,3]=>1111100=>1111001 [1,1,1,2,1,1]=>1111011=>1110111 [1,1,1,2,2]=>1111010=>1110101 [1,1,1,3,1]=>1111001=>1110011 [1,1,1,4]=>1111000=>1110001 [1,1,2,1,1,1]=>1110111=>1101111 [1,1,2,1,2]=>1110110=>1101101 [1,1,2,2,1]=>1110101=>1101011 [1,1,2,3]=>1110100=>1101001 [1,1,3,1,1]=>1110011=>1100111 [1,1,3,2]=>1110010=>1100101 [1,1,4,1]=>1110001=>1100011 [1,1,5]=>1110000=>1100001 [1,2,1,1,1,1]=>1101111=>1011111 [1,2,1,1,2]=>1101110=>1011101 [1,2,1,2,1]=>1101101=>1011011 [1,2,1,3]=>1101100=>1011001 [1,2,2,1,1]=>1101011=>1010111 [1,2,2,2]=>1101010=>1010101 [1,2,3,1]=>1101001=>1010011 [1,2,4]=>1101000=>1010001 [1,3,1,1,1]=>1100111=>1001111 [1,3,1,2]=>1100110=>1001101 [1,3,2,1]=>1100101=>1001011 [1,3,3]=>1100100=>1001001 [1,4,1,1]=>1100011=>1000111 [1,4,2]=>1100010=>1000101 [1,5,1]=>1100001=>1000011 [1,6]=>1100000=>1000001 [2,1,1,1,1,1]=>1011111=>0111111 [2,1,1,1,2]=>1011110=>0111101 [2,1,1,2,1]=>1011101=>0111011 [2,1,1,3]=>1011100=>0111001 [2,1,2,1,1]=>1011011=>0110111 [2,1,2,2]=>1011010=>0110101 [2,1,3,1]=>1011001=>0110011 [2,1,4]=>1011000=>0110001 [2,2,1,1,1]=>1010111=>0101111 [2,2,1,2]=>1010110=>0101101 [2,2,2,1]=>1010101=>0101011 [2,2,3]=>1010100=>0101001 [2,3,1,1]=>1010011=>0100111 [2,3,2]=>1010010=>0100101 [2,4,1]=>1010001=>0100011 [2,5]=>1010000=>0100001 [3,1,1,1,1]=>1001111=>0011111 [3,1,1,2]=>1001110=>0011101 [3,1,2,1]=>1001101=>0011011 [3,1,3]=>1001100=>0011001 [3,2,1,1]=>1001011=>0010111 [3,2,2]=>1001010=>0010101 [3,3,1]=>1001001=>0010011 [3,4]=>1001000=>0010001 [4,1,1,1]=>1000111=>0001111 [4,1,2]=>1000110=>0001101 [4,2,1]=>1000101=>0001011 [4,3]=>1000100=>0001001 [5,1,1]=>1000011=>0000111 [5,2]=>1000010=>0000101 [6,1]=>1000001=>0000011 [7]=>1000000=>0000001 [1,1,1,1,1,1,1,1]=>11111111=>11111111 [1,1,1,1,1,1,2]=>11111110=>11111101 [1,1,1,1,1,2,1]=>11111101=>11111011 [1,1,1,1,1,3]=>11111100=>11111001 [1,1,1,1,2,1,1]=>11111011=>11110111 [1,1,1,1,2,2]=>11111010=>11110101 [1,1,1,1,3,1]=>11111001=>11110011 [1,1,1,1,4]=>11111000=>11110001 [1,1,1,2,1,1,1]=>11110111=>11101111 [1,1,1,2,1,2]=>11110110=>11101101 [1,1,1,2,2,1]=>11110101=>11101011 [1,1,1,2,3]=>11110100=>11101001 [1,1,1,3,1,1]=>11110011=>11100111 [1,1,1,3,2]=>11110010=>11100101 [1,1,1,4,1]=>11110001=>11100011 [1,1,1,5]=>11110000=>11100001 [1,1,2,1,1,1,1]=>11101111=>11011111 [1,1,2,1,1,2]=>11101110=>11011101 [1,1,2,1,2,1]=>11101101=>11011011 [1,1,2,1,3]=>11101100=>11011001 [1,1,2,2,1,1]=>11101011=>11010111 [1,1,2,2,2]=>11101010=>11010101 [1,1,2,3,1]=>11101001=>11010011 [1,1,2,4]=>11101000=>11010001 [1,1,3,1,1,1]=>11100111=>11001111 [1,1,3,1,2]=>11100110=>11001101 [1,1,3,2,1]=>11100101=>11001011 [1,1,3,3]=>11100100=>11001001 [1,1,4,1,1]=>11100011=>11000111 [1,1,4,2]=>11100010=>11000101 [1,1,5,1]=>11100001=>11000011 [1,1,6]=>11100000=>11000001 [1,2,1,1,1,1,1]=>11011111=>10111111 [1,2,1,1,1,2]=>11011110=>10111101 [1,2,1,1,2,1]=>11011101=>10111011 [1,2,1,1,3]=>11011100=>10111001 [1,2,1,2,1,1]=>11011011=>10110111 [1,2,1,2,2]=>11011010=>10110101 [1,2,1,3,1]=>11011001=>10110011 [1,2,1,4]=>11011000=>10110001 [1,2,2,1,1,1]=>11010111=>10101111 [1,2,2,1,2]=>11010110=>10101101 [1,2,2,2,1]=>11010101=>10101011 [1,2,2,3]=>11010100=>10101001 [1,2,3,1,1]=>11010011=>10100111 [1,2,3,2]=>11010010=>10100101 [1,2,4,1]=>11010001=>10100011 [1,2,5]=>11010000=>10100001 [1,3,1,1,1,1]=>11001111=>10011111 [1,3,1,1,2]=>11001110=>10011101 [1,3,1,2,1]=>11001101=>10011011 [1,3,1,3]=>11001100=>10011001 [1,3,2,1,1]=>11001011=>10010111 [1,3,2,2]=>11001010=>10010101 [1,3,3,1]=>11001001=>10010011 [1,3,4]=>11001000=>10010001 [1,4,1,1,1]=>11000111=>10001111 [1,4,1,2]=>11000110=>10001101 [1,4,2,1]=>11000101=>10001011 [1,4,3]=>11000100=>10001001 [1,5,1,1]=>11000011=>10000111 [1,5,2]=>11000010=>10000101 [1,6,1]=>11000001=>10000011 [1,7]=>11000000=>10000001 [2,1,1,1,1,1,1]=>10111111=>01111111 [2,1,1,1,1,2]=>10111110=>01111101 [2,1,1,1,2,1]=>10111101=>01111011 [2,1,1,1,3]=>10111100=>01111001 [2,1,1,2,1,1]=>10111011=>01110111 [2,1,1,2,2]=>10111010=>01110101 [2,1,1,3,1]=>10111001=>01110011 [2,1,1,4]=>10111000=>01110001 [2,1,2,1,1,1]=>10110111=>01101111 [2,1,2,1,2]=>10110110=>01101101 [2,1,2,2,1]=>10110101=>01101011 [2,1,2,3]=>10110100=>01101001 [2,1,3,1,1]=>10110011=>01100111 [2,1,3,2]=>10110010=>01100101 [2,1,4,1]=>10110001=>01100011 [2,1,5]=>10110000=>01100001 [2,2,1,1,1,1]=>10101111=>01011111 [2,2,1,1,2]=>10101110=>01011101 [2,2,1,2,1]=>10101101=>01011011 [2,2,1,3]=>10101100=>01011001 [2,2,2,1,1]=>10101011=>01010111 [2,2,2,2]=>10101010=>01010101 [2,2,3,1]=>10101001=>01010011 [2,2,4]=>10101000=>01010001 [2,3,1,1,1]=>10100111=>01001111 [2,3,1,2]=>10100110=>01001101 [2,3,2,1]=>10100101=>01001011 [2,3,3]=>10100100=>01001001 [2,4,1,1]=>10100011=>01000111 [2,4,2]=>10100010=>01000101 [2,5,1]=>10100001=>01000011 [2,6]=>10100000=>01000001 [3,1,1,1,1,1]=>10011111=>00111111 [3,1,1,1,2]=>10011110=>00111101 [3,1,1,2,1]=>10011101=>00111011 [3,1,1,3]=>10011100=>00111001 [3,1,2,1,1]=>10011011=>00110111 [3,1,2,2]=>10011010=>00110101 [3,1,3,1]=>10011001=>00110011 [3,1,4]=>10011000=>00110001 [3,2,1,1,1]=>10010111=>00101111 [3,2,1,2]=>10010110=>00101101 [3,2,2,1]=>10010101=>00101011 [3,2,3]=>10010100=>00101001 [3,3,1,1]=>10010011=>00100111 [3,3,2]=>10010010=>00100101 [3,4,1]=>10010001=>00100011 [3,5]=>10010000=>00100001 [4,1,1,1,1]=>10001111=>00011111 [4,1,1,2]=>10001110=>00011101 [4,1,2,1]=>10001101=>00011011 [4,1,3]=>10001100=>00011001 [4,2,1,1]=>10001011=>00010111 [4,2,2]=>10001010=>00010101 [4,3,1]=>10001001=>00010011 [4,4]=>10001000=>00010001 [5,1,1,1]=>10000111=>00001111 [5,1,2]=>10000110=>00001101 [5,2,1]=>10000101=>00001011 [5,3]=>10000100=>00001001 [6,1,1]=>10000011=>00000111 [6,2]=>10000010=>00000101 [7,1]=>10000001=>00000011 [8]=>10000000=>00000001 [1,1,1,1,1,1,1,1,1]=>111111111=>111111111 [1,1,1,1,1,1,1,2]=>111111110=>111111101 [1,1,1,1,1,1,2,1]=>111111101=>111111011 [1,1,1,1,1,1,3]=>111111100=>111111001 [1,1,1,1,1,2,1,1]=>111111011=>111110111 [1,1,1,1,1,2,2]=>111111010=>111110101 [1,1,1,1,1,3,1]=>111111001=>111110011 [1,1,1,1,1,4]=>111111000=>111110001 [1,1,1,1,2,1,1,1]=>111110111=>111101111 [1,1,1,1,2,1,2]=>111110110=>111101101 [1,1,1,1,2,2,1]=>111110101=>111101011 [1,1,1,1,2,3]=>111110100=>111101001 [1,1,1,1,3,1,1]=>111110011=>111100111 [1,1,1,1,3,2]=>111110010=>111100101 [1,1,1,1,4,1]=>111110001=>111100011 [1,1,1,1,5]=>111110000=>111100001 [1,1,1,2,1,1,1,1]=>111101111=>111011111 [1,1,1,2,1,1,2]=>111101110=>111011101 [1,1,1,2,1,2,1]=>111101101=>111011011 [1,1,1,2,1,3]=>111101100=>111011001 [1,1,1,2,2,1,1]=>111101011=>111010111 [1,1,1,2,2,2]=>111101010=>111010101 [1,1,1,2,3,1]=>111101001=>111010011 [1,1,1,2,4]=>111101000=>111010001 [1,1,1,3,1,1,1]=>111100111=>111001111 [1,1,1,3,1,2]=>111100110=>111001101 [1,1,1,3,2,1]=>111100101=>111001011 [1,1,1,3,3]=>111100100=>111001001 [1,1,1,4,1,1]=>111100011=>111000111 [1,1,1,4,2]=>111100010=>111000101 [1,1,1,5,1]=>111100001=>111000011 [1,1,1,6]=>111100000=>111000001 [1,1,2,1,1,1,1,1]=>111011111=>110111111 [1,1,2,1,1,1,2]=>111011110=>110111101 [1,1,2,1,1,2,1]=>111011101=>110111011 [1,1,2,1,1,3]=>111011100=>110111001 [1,1,2,1,2,1,1]=>111011011=>110110111 [1,1,2,1,2,2]=>111011010=>110110101 [1,1,2,1,3,1]=>111011001=>110110011 [1,1,2,1,4]=>111011000=>110110001 [1,1,2,2,1,1,1]=>111010111=>110101111 [1,1,2,2,1,2]=>111010110=>110101101 [1,1,2,2,2,1]=>111010101=>110101011 [1,1,2,2,3]=>111010100=>110101001 [1,1,2,3,1,1]=>111010011=>110100111 [1,1,2,3,2]=>111010010=>110100101 [1,1,2,4,1]=>111010001=>110100011 [1,1,2,5]=>111010000=>110100001 [1,1,3,1,1,1,1]=>111001111=>110011111 [1,1,3,1,1,2]=>111001110=>110011101 [1,1,3,1,2,1]=>111001101=>110011011 [1,1,3,1,3]=>111001100=>110011001 [1,1,3,2,1,1]=>111001011=>110010111 [1,1,3,2,2]=>111001010=>110010101 [1,1,3,3,1]=>111001001=>110010011 [1,1,3,4]=>111001000=>110010001 [1,1,4,1,1,1]=>111000111=>110001111 [1,1,4,1,2]=>111000110=>110001101 [1,1,4,2,1]=>111000101=>110001011 [1,1,4,3]=>111000100=>110001001 [1,1,5,1,1]=>111000011=>110000111 [1,1,5,2]=>111000010=>110000101 [1,1,6,1]=>111000001=>110000011 [1,1,7]=>111000000=>110000001 [1,2,1,1,1,1,1,1]=>110111111=>101111111 [1,2,1,1,1,1,2]=>110111110=>101111101 [1,2,1,1,1,2,1]=>110111101=>101111011 [1,2,1,1,1,3]=>110111100=>101111001 [1,2,1,1,2,1,1]=>110111011=>101110111 [1,2,1,1,2,2]=>110111010=>101110101 [1,2,1,1,3,1]=>110111001=>101110011 [1,2,1,1,4]=>110111000=>101110001 [1,2,1,2,1,1,1]=>110110111=>101101111 [1,2,1,2,1,2]=>110110110=>101101101 [1,2,1,2,2,1]=>110110101=>101101011 [1,2,1,2,3]=>110110100=>101101001 [1,2,1,3,1,1]=>110110011=>101100111 [1,2,1,3,2]=>110110010=>101100101 [1,2,1,4,1]=>110110001=>101100011 [1,2,1,5]=>110110000=>101100001 [1,2,2,1,1,1,1]=>110101111=>101011111 [1,2,2,1,1,2]=>110101110=>101011101 [1,2,2,1,2,1]=>110101101=>101011011 [1,2,2,1,3]=>110101100=>101011001 [1,2,2,2,1,1]=>110101011=>101010111 [1,2,2,2,2]=>110101010=>101010101 [1,2,2,3,1]=>110101001=>101010011 [1,2,2,4]=>110101000=>101010001 [1,2,3,1,1,1]=>110100111=>101001111 [1,2,3,1,2]=>110100110=>101001101 [1,2,3,2,1]=>110100101=>101001011 [1,2,3,3]=>110100100=>101001001 [1,2,4,1,1]=>110100011=>101000111 [1,2,4,2]=>110100010=>101000101 [1,2,5,1]=>110100001=>101000011 [1,2,6]=>110100000=>101000001 [1,3,1,1,1,1,1]=>110011111=>100111111 [1,3,1,1,1,2]=>110011110=>100111101 [1,3,1,1,2,1]=>110011101=>100111011 [1,3,1,1,3]=>110011100=>100111001 [1,3,1,2,1,1]=>110011011=>100110111 [1,3,1,2,2]=>110011010=>100110101 [1,3,1,3,1]=>110011001=>100110011 [1,3,1,4]=>110011000=>100110001 [1,3,2,1,1,1]=>110010111=>100101111 [1,3,2,1,2]=>110010110=>100101101 [1,3,2,2,1]=>110010101=>100101011 [1,3,2,3]=>110010100=>100101001 [1,3,3,1,1]=>110010011=>100100111 [1,3,3,2]=>110010010=>100100101 [1,3,4,1]=>110010001=>100100011 [1,3,5]=>110010000=>100100001 [1,4,1,1,1,1]=>110001111=>100011111 [1,4,1,1,2]=>110001110=>100011101 [1,4,1,2,1]=>110001101=>100011011 [1,4,1,3]=>110001100=>100011001 [1,4,2,1,1]=>110001011=>100010111 [1,4,2,2]=>110001010=>100010101 [1,4,3,1]=>110001001=>100010011 [1,4,4]=>110001000=>100010001 [1,5,1,1,1]=>110000111=>100001111 [1,5,1,2]=>110000110=>100001101 [1,5,2,1]=>110000101=>100001011 [1,5,3]=>110000100=>100001001 [1,6,1,1]=>110000011=>100000111 [1,6,2]=>110000010=>100000101 [1,7,1]=>110000001=>100000011 [1,8]=>110000000=>100000001 [2,1,1,1,1,1,1,1]=>101111111=>011111111 [2,1,1,1,1,1,2]=>101111110=>011111101 [2,1,1,1,1,2,1]=>101111101=>011111011 [2,1,1,1,1,3]=>101111100=>011111001 [2,1,1,1,2,1,1]=>101111011=>011110111 [2,1,1,1,2,2]=>101111010=>011110101 [2,1,1,1,3,1]=>101111001=>011110011 [2,1,1,1,4]=>101111000=>011110001 [2,1,1,2,1,1,1]=>101110111=>011101111 [2,1,1,2,1,2]=>101110110=>011101101 [2,1,1,2,2,1]=>101110101=>011101011 [2,1,1,2,3]=>101110100=>011101001 [2,1,1,3,1,1]=>101110011=>011100111 [2,1,1,3,2]=>101110010=>011100101 [2,1,1,4,1]=>101110001=>011100011 [2,1,1,5]=>101110000=>011100001 [2,1,2,1,1,1,1]=>101101111=>011011111 [2,1,2,1,1,2]=>101101110=>011011101 [2,1,2,1,2,1]=>101101101=>011011011 [2,1,2,1,3]=>101101100=>011011001 [2,1,2,2,1,1]=>101101011=>011010111 [2,1,2,2,2]=>101101010=>011010101 [2,1,2,3,1]=>101101001=>011010011 [2,1,2,4]=>101101000=>011010001 [2,1,3,1,1,1]=>101100111=>011001111 [2,1,3,1,2]=>101100110=>011001101 [2,1,3,2,1]=>101100101=>011001011 [2,1,3,3]=>101100100=>011001001 [2,1,4,1,1]=>101100011=>011000111 [2,1,4,2]=>101100010=>011000101 [2,1,5,1]=>101100001=>011000011 [2,1,6]=>101100000=>011000001 [2,2,1,1,1,1,1]=>101011111=>010111111 [2,2,1,1,1,2]=>101011110=>010111101 [2,2,1,1,2,1]=>101011101=>010111011 [2,2,1,1,3]=>101011100=>010111001 [2,2,1,2,1,1]=>101011011=>010110111 [2,2,1,2,2]=>101011010=>010110101 [2,2,1,3,1]=>101011001=>010110011 [2,2,1,4]=>101011000=>010110001 [2,2,2,1,1,1]=>101010111=>010101111 [2,2,2,1,2]=>101010110=>010101101 [2,2,2,2,1]=>101010101=>010101011 [2,2,2,3]=>101010100=>010101001 [2,2,3,1,1]=>101010011=>010100111 [2,2,3,2]=>101010010=>010100101 [2,2,4,1]=>101010001=>010100011 [2,2,5]=>101010000=>010100001 [2,3,1,1,1,1]=>101001111=>010011111 [2,3,1,1,2]=>101001110=>010011101 [2,3,1,2,1]=>101001101=>010011011 [2,3,1,3]=>101001100=>010011001 [2,3,2,1,1]=>101001011=>010010111 [2,3,2,2]=>101001010=>010010101 [2,3,3,1]=>101001001=>010010011 [2,3,4]=>101001000=>010010001 [2,4,1,1,1]=>101000111=>010001111 [2,4,1,2]=>101000110=>010001101 [2,4,2,1]=>101000101=>010001011 [2,4,3]=>101000100=>010001001 [2,5,1,1]=>101000011=>010000111 [2,5,2]=>101000010=>010000101 [2,6,1]=>101000001=>010000011 [2,7]=>101000000=>010000001 [3,1,1,1,1,1,1]=>100111111=>001111111 [3,1,1,1,1,2]=>100111110=>001111101 [3,1,1,1,2,1]=>100111101=>001111011 [3,1,1,1,3]=>100111100=>001111001 [3,1,1,2,1,1]=>100111011=>001110111 [3,1,1,2,2]=>100111010=>001110101 [3,1,1,3,1]=>100111001=>001110011 [3,1,1,4]=>100111000=>001110001 [3,1,2,1,1,1]=>100110111=>001101111 [3,1,2,1,2]=>100110110=>001101101 [3,1,2,2,1]=>100110101=>001101011 [3,1,2,3]=>100110100=>001101001 [3,1,3,1,1]=>100110011=>001100111 [3,1,3,2]=>100110010=>001100101 [3,1,4,1]=>100110001=>001100011 [3,1,5]=>100110000=>001100001 [3,2,1,1,1,1]=>100101111=>001011111 [3,2,1,1,2]=>100101110=>001011101 [3,2,1,2,1]=>100101101=>001011011 [3,2,1,3]=>100101100=>001011001 [3,2,2,1,1]=>100101011=>001010111 [3,2,2,2]=>100101010=>001010101 [3,2,3,1]=>100101001=>001010011 [3,2,4]=>100101000=>001010001 [3,3,1,1,1]=>100100111=>001001111 [3,3,1,2]=>100100110=>001001101 [3,3,2,1]=>100100101=>001001011 [3,3,3]=>100100100=>001001001 [3,4,1,1]=>100100011=>001000111 [3,4,2]=>100100010=>001000101 [3,5,1]=>100100001=>001000011 [3,6]=>100100000=>001000001 [4,1,1,1,1,1]=>100011111=>000111111 [4,1,1,1,2]=>100011110=>000111101 [4,1,1,2,1]=>100011101=>000111011 [4,1,1,3]=>100011100=>000111001 [4,1,2,1,1]=>100011011=>000110111 [4,1,2,2]=>100011010=>000110101 [4,1,3,1]=>100011001=>000110011 [4,1,4]=>100011000=>000110001 [4,2,1,1,1]=>100010111=>000101111 [4,2,1,2]=>100010110=>000101101 [4,2,2,1]=>100010101=>000101011 [4,2,3]=>100010100=>000101001 [4,3,1,1]=>100010011=>000100111 [4,3,2]=>100010010=>000100101 [4,4,1]=>100010001=>000100011 [4,5]=>100010000=>000100001 [5,1,1,1,1]=>100001111=>000011111 [5,1,1,2]=>100001110=>000011101 [5,1,2,1]=>100001101=>000011011 [5,1,3]=>100001100=>000011001 [5,2,1,1]=>100001011=>000010111 [5,2,2]=>100001010=>000010101 [5,3,1]=>100001001=>000010011 [5,4]=>100001000=>000010001 [6,1,1,1]=>100000111=>000001111 [6,1,2]=>100000110=>000001101 [6,2,1]=>100000101=>000001011 [6,3]=>100000100=>000001001 [7,1,1]=>100000011=>000000111 [7,2]=>100000010=>000000101 [8,1]=>100000001=>000000011 [9]=>100000000=>000000001 [1,1,1,1,1,1,1,1,1,1]=>1111111111=>1111111111 [1,1,1,1,1,1,1,1,2]=>1111111110=>1111111101 [1,1,1,1,1,1,3,1]=>1111111001=>1111110011 [1,1,1,1,1,5]=>1111110000=>1111100001 [1,1,1,1,2,1,2,1]=>1111101101=>1111011011 [1,1,1,1,2,4]=>1111101000=>1111010001 [1,1,1,1,3,1,1,1]=>1111100111=>1111001111 [1,1,1,1,3,3]=>1111100100=>1111001001 [1,1,1,1,4,2]=>1111100010=>1111000101 [1,1,1,1,5,1]=>1111100001=>1111000011 [1,1,1,1,6]=>1111100000=>1111000001 [1,1,1,2,1,4]=>1111011000=>1110110001 [1,1,1,2,2,3]=>1111010100=>1110101001 [1,1,1,2,3,2]=>1111010010=>1110100101 [1,1,1,2,4,1]=>1111010001=>1110100011 [1,1,1,2,5]=>1111010000=>1110100001 [1,1,1,3,1,3]=>1111001100=>1110011001 [1,1,1,3,2,2]=>1111001010=>1110010101 [1,1,1,3,3,1]=>1111001001=>1110010011 [1,1,1,3,4]=>1111001000=>1110010001 [1,1,1,4,2,1]=>1111000101=>1110001011 [1,1,1,4,3]=>1111000100=>1110001001 [1,1,1,5,1,1]=>1111000011=>1110000111 [1,1,1,5,2]=>1111000010=>1110000101 [1,1,1,6,1]=>1111000001=>1110000011 [1,1,2,1,1,1,1,1,1]=>1110111111=>1101111111 [1,1,2,1,1,1,1,2]=>1110111110=>1101111101 [1,1,2,1,1,1,2,1]=>1110111101=>1101111011 [1,1,2,1,1,4]=>1110111000=>1101110001 [1,1,2,1,2,1,1,1]=>1110110111=>1101101111 [1,1,2,1,2,3]=>1110110100=>1101101001 [1,1,2,1,3,2]=>1110110010=>1101100101 [1,1,2,1,4,1]=>1110110001=>1101100011 [1,1,2,1,5]=>1110110000=>1101100001 [1,1,2,2,1,3]=>1110101100=>1101011001 [1,1,2,2,2,2]=>1110101010=>1101010101 [1,1,2,2,3,1]=>1110101001=>1101010011 [1,1,2,2,4]=>1110101000=>1101010001 [1,1,2,3,2,1]=>1110100101=>1101001011 [1,1,2,3,3]=>1110100100=>1101001001 [1,1,2,4,1,1]=>1110100011=>1101000111 [1,1,2,4,2]=>1110100010=>1101000101 [1,1,2,5,1]=>1110100001=>1101000011 [1,1,3,1,1,1,1,1]=>1110011111=>1100111111 [1,1,3,1,3,1]=>1110011001=>1100110011 [1,1,3,1,4]=>1110011000=>1100110001 [1,1,3,2,2,1]=>1110010101=>1100101011 [1,1,3,2,3]=>1110010100=>1100101001 [1,1,3,3,1,1]=>1110010011=>1100100111 [1,1,3,3,2]=>1110010010=>1100100101 [1,1,3,4,1]=>1110010001=>1100100011 [1,1,4,1,2,1]=>1110001101=>1100011011 [1,1,4,1,3]=>1110001100=>1100011001 [1,1,4,2,2]=>1110001010=>1100010101 [1,1,5,1,1,1]=>1110000111=>1100001111 [1,1,6,1,1]=>1110000011=>1100000111 [1,1,7,1]=>1110000001=>1100000011 [1,2,1,1,1,1,1,1,1]=>1101111111=>1011111111 [1,2,1,1,1,1,1,2]=>1101111110=>1011111101 [1,2,1,1,4,1]=>1101110001=>1011100011 [1,2,1,1,5]=>1101110000=>1011100001 [1,2,1,2,3,1]=>1101101001=>1011010011 [1,2,1,2,4]=>1101101000=>1011010001 [1,2,1,3,2,1]=>1101100101=>1011001011 [1,2,1,3,3]=>1101100100=>1011001001 [1,2,1,4,1,1]=>1101100011=>1011000111 [1,2,1,4,2]=>1101100010=>1011000101 [1,2,1,5,1]=>1101100001=>1011000011 [1,2,2,1,1,1,1,1]=>1101011111=>1010111111 [1,2,2,1,3,1]=>1101011001=>1010110011 [1,2,2,1,4]=>1101011000=>1010110001 [1,2,2,2,2,1]=>1101010101=>1010101011 [1,2,2,2,3]=>1101010100=>1010101001 [1,2,2,3,1,1]=>1101010011=>1010100111 [1,2,2,3,2]=>1101010010=>1010100101 [1,2,2,4,1]=>1101010001=>1010100011 [1,2,3,1,1,1,1]=>1101001111=>1010011111 [1,2,3,1,2,1]=>1101001101=>1010011011 [1,2,3,1,3]=>1101001100=>1010011001 [1,2,3,2,2]=>1101001010=>1010010101 [1,2,4,1,1,1]=>1101000111=>1010001111 [1,2,5,1,1]=>1101000011=>1010000111 [1,3,1,1,1,1,1,1]=>1100111111=>1001111111 [1,3,1,1,3,1]=>1100111001=>1001110011 [1,3,1,1,4]=>1100111000=>1001110001 [1,3,1,2,2,1]=>1100110101=>1001101011 [1,3,1,2,3]=>1100110100=>1001101001 [1,3,1,3,1,1]=>1100110011=>1001100111 [1,3,1,3,2]=>1100110010=>1001100101 [1,3,1,4,1]=>1100110001=>1001100011 [1,3,2,1,1,2]=>1100101110=>1001011101 [1,3,2,1,3]=>1100101100=>1001011001 [1,3,2,2,2]=>1100101010=>1001010101 [1,4,1,1,1,2]=>1100011110=>1000111101 [1,4,1,1,2,1]=>1100011101=>1000111011 [1,4,1,1,3]=>1100011100=>1000111001 [1,5,1,1,1,1]=>1100001111=>1000011111 [1,5,2,2]=>1100001010=>1000010101 [1,6,1,1,1]=>1100000111=>1000001111 [1,6,1,2]=>1100000110=>1000001101 [1,9]=>1100000000=>1000000001 [2,1,1,1,1,1,1,2]=>1011111110=>0111111101 [2,1,1,1,1,1,2,1]=>1011111101=>0111111011 [2,1,1,1,2,1,1,1]=>1011110111=>0111101111 [2,1,1,1,4,1]=>1011110001=>0111100011 [2,1,1,1,5]=>1011110000=>0111100001 [2,1,1,2,4]=>1011101000=>0111010001 [2,1,1,3,2,1]=>1011100101=>0111001011 [2,1,1,3,3]=>1011100100=>0111001001 [2,1,1,4,2]=>1011100010=>0111000101 [2,1,1,6]=>1011100000=>0111000001 [2,1,2,1,1,1,1,1]=>1011011111=>0110111111 [2,1,2,1,3,1]=>1011011001=>0110110011 [2,1,2,1,4]=>1011011000=>0110110001 [2,1,2,2,2,1]=>1011010101=>0110101011 [2,1,2,2,3]=>1011010100=>0110101001 [2,1,2,3,2]=>1011010010=>0110100101 [2,1,2,5]=>1011010000=>0110100001 [2,1,3,1,2,1]=>1011001101=>0110011011 [2,1,3,1,3]=>1011001100=>0110011001 [2,1,3,2,2]=>1011001010=>0110010101 [2,1,3,4]=>1011001000=>0110010001 [2,1,4,1,1,1]=>1011000111=>0110001111 [2,1,4,3]=>1011000100=>0110001001 [2,1,5,2]=>1011000010=>0110000101 [2,1,6,1]=>1011000001=>0110000011 [2,2,1,1,1,1,2]=>1010111110=>0101111101 [2,2,1,1,4]=>1010111000=>0101110001 [2,2,1,2,2,1]=>1010110101=>0101101011 [2,2,1,2,3]=>1010110100=>0101101001 [2,2,1,3,2]=>1010110010=>0101100101 [2,2,1,5]=>1010110000=>0101100001 [2,2,2,1,3]=>1010101100=>0101011001 [2,2,2,2,2]=>1010101010=>0101010101 [2,2,2,4]=>1010101000=>0101010001 [2,2,3,3]=>1010100100=>0101001001 [2,2,4,2]=>1010100010=>0101000101 [2,3,1,1,2,1]=>1010011101=>0100111011 [2,3,1,4]=>1010011000=>0100110001 [2,3,2,1,1,1]=>1010010111=>0100101111 [2,3,2,3]=>1010010100=>0100101001 [2,3,3,2]=>1010010010=>0100100101 [2,3,4,1]=>1010010001=>0100100011 [2,4,1,3]=>1010001100=>0100011001 [2,4,2,2]=>1010001010=>0100010101 [2,5,2,1]=>1010000101=>0100001011 [3,1,1,1,1,1,1,1]=>1001111111=>0011111111 [3,1,1,1,1,1,2]=>1001111110=>0011111101 [3,1,1,1,3,1]=>1001111001=>0011110011 [3,1,1,5]=>1001110000=>0011100001 [3,1,2,1,2,1]=>1001101101=>0011011011 [3,1,2,4]=>1001101000=>0011010001 [3,1,3,1,1,1]=>1001100111=>0011001111 [3,1,3,3]=>1001100100=>0011001001 [3,1,4,2]=>1001100010=>0011000101 [3,1,5,1]=>1001100001=>0011000011 [3,2,1,1,1,2]=>1001011110=>0010111101 [3,2,1,4]=>1001011000=>0010110001 [3,2,2,2,1]=>1001010101=>0010101011 [3,2,2,3]=>1001010100=>0010101001 [3,2,3,2]=>1001010010=>0010100101 [3,3,1,3]=>1001001100=>0010011001 [3,3,2,2]=>1001001010=>0010010101 [4,1,1,1,1,2]=>1000111110=>0001111101 [4,1,1,1,2,1]=>1000111101=>0001111011 [4,1,1,4]=>1000111000=>0001110001 [4,1,2,1,1,1]=>1000110111=>0001101111 [4,1,2,2,1]=>1000110101=>0001101011 [4,1,2,3]=>1000110100=>0001101001 [4,1,3,2]=>1000110010=>0001100101 [4,1,4,1]=>1000110001=>0001100011 [4,2,1,1,2]=>1000101110=>0001011101 [4,2,1,3]=>1000101100=>0001011001 [4,2,2,2]=>1000101010=>0001010101 [4,3,2,1]=>1000100101=>0001001011 [5,1,1,1,1,1]=>1000011111=>0000111111 [5,1,1,1,2]=>1000011110=>0000111101 [5,1,3,1]=>1000011001=>0000110011 [5,2,1,2]=>1000010110=>0000101101 [5,2,2,1]=>1000010101=>0000101011 [6,1,1,2]=>1000001110=>0000011101 [6,1,2,1]=>1000001101=>0000011011 [6,2,2]=>1000001010=>0000010101 [7,1,1,1]=>1000000111=>0000001111 [7,1,2]=>1000000110=>0000001101 [7,2,1]=>1000000101=>0000001011 [7,3]=>1000000100=>0000001001 [8,1,1]=>1000000011=>0000000111 [8,2]=>1000000010=>0000000101 [9,1]=>1000000001=>0000000011 [10]=>1000000000=>0000000001 [1,2,2,2,2,2,1]=>110101010101=>101010101011 [1,3,1,2,3,1,1]=>110011010011=>100110100111 [3,3,1,2,1,1,1]=>100100110111=>001001101111 [3,1,3,2,1,1,1]=>100110010111=>001100101111 [1,3,1,4,1,1,1]=>110011000111=>100110001111 [2,3,3,1,1,1,1]=>101001001111=>010010011111 [2,3,1,1,3,1,1]=>101001110011=>010011100111 [1,2,2,2,3,1,1]=>110101010011=>101010100111 [2,1,3,3,1,1,1]=>101100100111=>011001001111 [3,3,2,1,1,1,1]=>100100101111=>001001011111 [3,1,2,3,1,1,1]=>100110100111=>001101001111 [1,2,2,3,1,2,1]=>110101001101=>101010011011 [1,2,2,4,1,1,1]=>110101000111=>101010001111 [1,2,3,1,2,2,1]=>110100110101=>101001101011 [1,2,3,1,3,1,1]=>110100110011=>101001100111 [1,2,4,1,1,2,1]=>110100011101=>101000111011 [1,2,5,1,1,1,1]=>110100001111=>101000011111 [1,3,1,2,2,2,1]=>110011010101=>100110101011 [1,3,1,3,1,2,1]=>110011001101=>100110011011 [1,4,1,1,2,2,1]=>110001110101=>100011101011 [1,4,1,1,3,1,1]=>110001110011=>100011100111 [1,5,1,1,1,2,1]=>110000111101=>100001111011 [1,6,1,1,1,1,1]=>110000011111=>100000111111 [2,1,2,4,1,1,1]=>101101000111=>011010001111 [2,1,3,1,3,1,1]=>101100110011=>011001100111 [2,1,4,1,2,1,1]=>101100011011=>011000110111 [2,1,4,2,1,1,1]=>101100010111=>011000101111 [2,2,1,4,1,1,1]=>101011000111=>010110001111 [2,2,4,1,1,1,1]=>101010001111=>010100011111 [2,3,1,3,1,1,1]=>101001100111=>010011001111 [2,4,1,1,2,1,1]=>101000111011=>010001110111 [2,4,1,2,1,1,1]=>101000110111=>010001101111 [2,4,2,1,1,1,1]=>101000101111=>010001011111 [3,1,2,1,3,1,1]=>100110110011=>001101100111 [3,1,3,1,2,1,1]=>100110011011=>001100110111 [3,2,1,1,3,1,1]=>100101110011=>001011100111 [3,2,1,3,1,1,1]=>100101100111=>001011001111 [3,2,3,1,1,1,1]=>100101001111=>001010011111 [3,3,1,1,2,1,1]=>100100111011=>001001110111