=>

[1]=>1=>0=>1 [1,1]=>11=>00=>10 [2]=>10=>01=>11 [1,1,1]=>111=>000=>100 [1,2]=>110=>001=>101 [2,1]=>101=>010=>110 [3]=>100=>011=>111 [1,1,1,1]=>1111=>0000=>1000 [1,1,2]=>1110=>0001=>1001 [1,2,1]=>1101=>0010=>1010 [1,3]=>1100=>0011=>1011 [2,1,1]=>1011=>0100=>1100 [2,2]=>1010=>0101=>1101 [3,1]=>1001=>0110=>1110 [4]=>1000=>0111=>1111 [1,1,1,1,1]=>11111=>00000=>10000 [1,1,1,2]=>11110=>00001=>10001 [1,1,2,1]=>11101=>00010=>10010 [1,1,3]=>11100=>00011=>10011 [1,2,1,1]=>11011=>00100=>10100 [1,2,2]=>11010=>00101=>10101 [1,3,1]=>11001=>00110=>10110 [1,4]=>11000=>00111=>10111 [2,1,1,1]=>10111=>01000=>11000 [2,1,2]=>10110=>01001=>11001 [2,2,1]=>10101=>01010=>11010 [2,3]=>10100=>01011=>11011 [3,1,1]=>10011=>01100=>11100 [3,2]=>10010=>01101=>11101 [4,1]=>10001=>01110=>11110 [5]=>10000=>01111=>11111 [1,1,1,1,1,1]=>111111=>000000=>100000 [1,1,1,1,2]=>111110=>000001=>100001 [1,1,1,2,1]=>111101=>000010=>100010 [1,1,1,3]=>111100=>000011=>100011 [1,1,2,1,1]=>111011=>000100=>100100 [1,1,2,2]=>111010=>000101=>100101 [1,1,3,1]=>111001=>000110=>100110 [1,1,4]=>111000=>000111=>100111 [1,2,1,1,1]=>110111=>001000=>101000 [1,2,1,2]=>110110=>001001=>101001 [1,2,2,1]=>110101=>001010=>101010 [1,2,3]=>110100=>001011=>101011 [1,3,1,1]=>110011=>001100=>101100 [1,3,2]=>110010=>001101=>101101 [1,4,1]=>110001=>001110=>101110 [1,5]=>110000=>001111=>101111 [2,1,1,1,1]=>101111=>010000=>110000 [2,1,1,2]=>101110=>010001=>110001 [2,1,2,1]=>101101=>010010=>110010 [2,1,3]=>101100=>010011=>110011 [2,2,1,1]=>101011=>010100=>110100 [2,2,2]=>101010=>010101=>110101 [2,3,1]=>101001=>010110=>110110 [2,4]=>101000=>010111=>110111 [3,1,1,1]=>100111=>011000=>111000 [3,1,2]=>100110=>011001=>111001 [3,2,1]=>100101=>011010=>111010 [3,3]=>100100=>011011=>111011 [4,1,1]=>100011=>011100=>111100 [4,2]=>100010=>011101=>111101 [5,1]=>100001=>011110=>111110 [6]=>100000=>011111=>111111 [1,1,1,1,1,1,1]=>1111111=>0000000=>1000000 [1,1,1,1,1,2]=>1111110=>0000001=>1000001 [1,1,1,1,2,1]=>1111101=>0000010=>1000010 [1,1,1,1,3]=>1111100=>0000011=>1000011 [1,1,1,2,1,1]=>1111011=>0000100=>1000100 [1,1,1,2,2]=>1111010=>0000101=>1000101 [1,1,1,3,1]=>1111001=>0000110=>1000110 [1,1,1,4]=>1111000=>0000111=>1000111 [1,1,2,1,1,1]=>1110111=>0001000=>1001000 [1,1,2,1,2]=>1110110=>0001001=>1001001 [1,1,2,2,1]=>1110101=>0001010=>1001010 [1,1,2,3]=>1110100=>0001011=>1001011 [1,1,3,1,1]=>1110011=>0001100=>1001100 [1,1,3,2]=>1110010=>0001101=>1001101 [1,1,4,1]=>1110001=>0001110=>1001110 [1,1,5]=>1110000=>0001111=>1001111 [1,2,1,1,1,1]=>1101111=>0010000=>1010000 [1,2,1,1,2]=>1101110=>0010001=>1010001 [1,2,1,2,1]=>1101101=>0010010=>1010010 [1,2,1,3]=>1101100=>0010011=>1010011 [1,2,2,1,1]=>1101011=>0010100=>1010100 [1,2,2,2]=>1101010=>0010101=>1010101 [1,2,3,1]=>1101001=>0010110=>1010110 [1,2,4]=>1101000=>0010111=>1010111 [1,3,1,1,1]=>1100111=>0011000=>1011000 [1,3,1,2]=>1100110=>0011001=>1011001 [1,3,2,1]=>1100101=>0011010=>1011010 [1,3,3]=>1100100=>0011011=>1011011 [1,4,1,1]=>1100011=>0011100=>1011100 [1,4,2]=>1100010=>0011101=>1011101 [1,5,1]=>1100001=>0011110=>1011110 [1,6]=>1100000=>0011111=>1011111 [2,1,1,1,1,1]=>1011111=>0100000=>1100000 [2,1,1,1,2]=>1011110=>0100001=>1100001 [2,1,1,2,1]=>1011101=>0100010=>1100010 [2,1,1,3]=>1011100=>0100011=>1100011 [2,1,2,1,1]=>1011011=>0100100=>1100100 [2,1,2,2]=>1011010=>0100101=>1100101 [2,1,3,1]=>1011001=>0100110=>1100110 [2,1,4]=>1011000=>0100111=>1100111 [2,2,1,1,1]=>1010111=>0101000=>1101000 [2,2,1,2]=>1010110=>0101001=>1101001 [2,2,2,1]=>1010101=>0101010=>1101010 [2,2,3]=>1010100=>0101011=>1101011 [2,3,1,1]=>1010011=>0101100=>1101100 [2,3,2]=>1010010=>0101101=>1101101 [2,4,1]=>1010001=>0101110=>1101110 [2,5]=>1010000=>0101111=>1101111 [3,1,1,1,1]=>1001111=>0110000=>1110000 [3,1,1,2]=>1001110=>0110001=>1110001 [3,1,2,1]=>1001101=>0110010=>1110010 [3,1,3]=>1001100=>0110011=>1110011 [3,2,1,1]=>1001011=>0110100=>1110100 [3,2,2]=>1001010=>0110101=>1110101 [3,3,1]=>1001001=>0110110=>1110110 [3,4]=>1001000=>0110111=>1110111 [4,1,1,1]=>1000111=>0111000=>1111000 [4,1,2]=>1000110=>0111001=>1111001 [4,2,1]=>1000101=>0111010=>1111010 [4,3]=>1000100=>0111011=>1111011 [5,1,1]=>1000011=>0111100=>1111100 [5,2]=>1000010=>0111101=>1111101 [6,1]=>1000001=>0111110=>1111110 [7]=>1000000=>0111111=>1111111 [1,1,1,1,1,1,1,1]=>11111111=>00000000=>10000000 [1,1,1,1,1,1,2]=>11111110=>00000001=>10000001 [1,1,1,1,1,2,1]=>11111101=>00000010=>10000010 [1,1,1,1,1,3]=>11111100=>00000011=>10000011 [1,1,1,1,2,1,1]=>11111011=>00000100=>10000100 [1,1,1,1,2,2]=>11111010=>00000101=>10000101 [1,1,1,1,3,1]=>11111001=>00000110=>10000110 [1,1,1,1,4]=>11111000=>00000111=>10000111 [1,1,1,2,1,1,1]=>11110111=>00001000=>10001000 [1,1,1,2,1,2]=>11110110=>00001001=>10001001 [1,1,1,2,2,1]=>11110101=>00001010=>10001010 [1,1,1,2,3]=>11110100=>00001011=>10001011 [1,1,1,3,1,1]=>11110011=>00001100=>10001100 [1,1,1,3,2]=>11110010=>00001101=>10001101 [1,1,1,4,1]=>11110001=>00001110=>10001110 [1,1,1,5]=>11110000=>00001111=>10001111 [1,1,2,1,1,1,1]=>11101111=>00010000=>10010000 [1,1,2,1,1,2]=>11101110=>00010001=>10010001 [1,1,2,1,2,1]=>11101101=>00010010=>10010010 [1,1,2,1,3]=>11101100=>00010011=>10010011 [1,1,2,2,1,1]=>11101011=>00010100=>10010100 [1,1,2,2,2]=>11101010=>00010101=>10010101 [1,1,2,3,1]=>11101001=>00010110=>10010110 [1,1,2,4]=>11101000=>00010111=>10010111 [1,1,3,1,1,1]=>11100111=>00011000=>10011000 [1,1,3,1,2]=>11100110=>00011001=>10011001 [1,1,3,2,1]=>11100101=>00011010=>10011010 [1,1,3,3]=>11100100=>00011011=>10011011 [1,1,4,1,1]=>11100011=>00011100=>10011100 [1,1,4,2]=>11100010=>00011101=>10011101 [1,1,5,1]=>11100001=>00011110=>10011110 [1,1,6]=>11100000=>00011111=>10011111 [1,2,1,1,1,1,1]=>11011111=>00100000=>10100000 [1,2,1,1,1,2]=>11011110=>00100001=>10100001 [1,2,1,1,2,1]=>11011101=>00100010=>10100010 [1,2,1,1,3]=>11011100=>00100011=>10100011 [1,2,1,2,1,1]=>11011011=>00100100=>10100100 [1,2,1,2,2]=>11011010=>00100101=>10100101 [1,2,1,3,1]=>11011001=>00100110=>10100110 [1,2,1,4]=>11011000=>00100111=>10100111 [1,2,2,1,1,1]=>11010111=>00101000=>10101000 [1,2,2,1,2]=>11010110=>00101001=>10101001 [1,2,2,2,1]=>11010101=>00101010=>10101010 [1,2,2,3]=>11010100=>00101011=>10101011 [1,2,3,1,1]=>11010011=>00101100=>10101100 [1,2,3,2]=>11010010=>00101101=>10101101 [1,2,4,1]=>11010001=>00101110=>10101110 [1,2,5]=>11010000=>00101111=>10101111 [1,3,1,1,1,1]=>11001111=>00110000=>10110000 [1,3,1,1,2]=>11001110=>00110001=>10110001 [1,3,1,2,1]=>11001101=>00110010=>10110010 [1,3,1,3]=>11001100=>00110011=>10110011 [1,3,2,1,1]=>11001011=>00110100=>10110100 [1,3,2,2]=>11001010=>00110101=>10110101 [1,3,3,1]=>11001001=>00110110=>10110110 [1,3,4]=>11001000=>00110111=>10110111 [1,4,1,1,1]=>11000111=>00111000=>10111000 [1,4,1,2]=>11000110=>00111001=>10111001 [1,4,2,1]=>11000101=>00111010=>10111010 [1,4,3]=>11000100=>00111011=>10111011 [1,5,1,1]=>11000011=>00111100=>10111100 [1,5,2]=>11000010=>00111101=>10111101 [1,6,1]=>11000001=>00111110=>10111110 [1,7]=>11000000=>00111111=>10111111 [2,1,1,1,1,1,1]=>10111111=>01000000=>11000000 [2,1,1,1,1,2]=>10111110=>01000001=>11000001 [2,1,1,1,2,1]=>10111101=>01000010=>11000010 [2,1,1,1,3]=>10111100=>01000011=>11000011 [2,1,1,2,1,1]=>10111011=>01000100=>11000100 [2,1,1,2,2]=>10111010=>01000101=>11000101 [2,1,1,3,1]=>10111001=>01000110=>11000110 [2,1,1,4]=>10111000=>01000111=>11000111 [2,1,2,1,1,1]=>10110111=>01001000=>11001000 [2,1,2,1,2]=>10110110=>01001001=>11001001 [2,1,2,2,1]=>10110101=>01001010=>11001010 [2,1,2,3]=>10110100=>01001011=>11001011 [2,1,3,1,1]=>10110011=>01001100=>11001100 [2,1,3,2]=>10110010=>01001101=>11001101 [2,1,4,1]=>10110001=>01001110=>11001110 [2,1,5]=>10110000=>01001111=>11001111 [2,2,1,1,1,1]=>10101111=>01010000=>11010000 [2,2,1,1,2]=>10101110=>01010001=>11010001 [2,2,1,2,1]=>10101101=>01010010=>11010010 [2,2,1,3]=>10101100=>01010011=>11010011 [2,2,2,1,1]=>10101011=>01010100=>11010100 [2,2,2,2]=>10101010=>01010101=>11010101 [2,2,3,1]=>10101001=>01010110=>11010110 [2,2,4]=>10101000=>01010111=>11010111 [2,3,1,1,1]=>10100111=>01011000=>11011000 [2,3,1,2]=>10100110=>01011001=>11011001 [2,3,2,1]=>10100101=>01011010=>11011010 [2,3,3]=>10100100=>01011011=>11011011 [2,4,1,1]=>10100011=>01011100=>11011100 [2,4,2]=>10100010=>01011101=>11011101 [2,5,1]=>10100001=>01011110=>11011110 [2,6]=>10100000=>01011111=>11011111 [3,1,1,1,1,1]=>10011111=>01100000=>11100000 [3,1,1,1,2]=>10011110=>01100001=>11100001 [3,1,1,2,1]=>10011101=>01100010=>11100010 [3,1,1,3]=>10011100=>01100011=>11100011 [3,1,2,1,1]=>10011011=>01100100=>11100100 [3,1,2,2]=>10011010=>01100101=>11100101 [3,1,3,1]=>10011001=>01100110=>11100110 [3,1,4]=>10011000=>01100111=>11100111 [3,2,1,1,1]=>10010111=>01101000=>11101000 [3,2,1,2]=>10010110=>01101001=>11101001 [3,2,2,1]=>10010101=>01101010=>11101010 [3,2,3]=>10010100=>01101011=>11101011 [3,3,1,1]=>10010011=>01101100=>11101100 [3,3,2]=>10010010=>01101101=>11101101 [3,4,1]=>10010001=>01101110=>11101110 [3,5]=>10010000=>01101111=>11101111 [4,1,1,1,1]=>10001111=>01110000=>11110000 [4,1,1,2]=>10001110=>01110001=>11110001 [4,1,2,1]=>10001101=>01110010=>11110010 [4,1,3]=>10001100=>01110011=>11110011 [4,2,1,1]=>10001011=>01110100=>11110100 [4,2,2]=>10001010=>01110101=>11110101 [4,3,1]=>10001001=>01110110=>11110110 [4,4]=>10001000=>01110111=>11110111 [5,1,1,1]=>10000111=>01111000=>11111000 [5,1,2]=>10000110=>01111001=>11111001 [5,2,1]=>10000101=>01111010=>11111010 [5,3]=>10000100=>01111011=>11111011 [6,1,1]=>10000011=>01111100=>11111100 [6,2]=>10000010=>01111101=>11111101 [7,1]=>10000001=>01111110=>11111110 [8]=>10000000=>01111111=>11111111 [1,1,1,1,1,1,1,1,1]=>111111111=>000000000=>100000000 [1,1,1,1,1,1,1,2]=>111111110=>000000001=>100000001 [1,1,1,1,1,1,2,1]=>111111101=>000000010=>100000010 [1,1,1,1,1,1,3]=>111111100=>000000011=>100000011 [1,1,1,1,1,2,1,1]=>111111011=>000000100=>100000100 [1,1,1,1,1,2,2]=>111111010=>000000101=>100000101 [1,1,1,1,1,3,1]=>111111001=>000000110=>100000110 [1,1,1,1,1,4]=>111111000=>000000111=>100000111 [1,1,1,1,2,1,1,1]=>111110111=>000001000=>100001000 [1,1,1,1,2,1,2]=>111110110=>000001001=>100001001 [1,1,1,1,2,2,1]=>111110101=>000001010=>100001010 [1,1,1,1,2,3]=>111110100=>000001011=>100001011 [1,1,1,1,3,1,1]=>111110011=>000001100=>100001100 [1,1,1,1,3,2]=>111110010=>000001101=>100001101 [1,1,1,1,4,1]=>111110001=>000001110=>100001110 [1,1,1,1,5]=>111110000=>000001111=>100001111 [1,1,1,2,1,1,1,1]=>111101111=>000010000=>100010000 [1,1,1,2,1,1,2]=>111101110=>000010001=>100010001 [1,1,1,2,1,2,1]=>111101101=>000010010=>100010010 [1,1,1,2,1,3]=>111101100=>000010011=>100010011 [1,1,1,2,2,1,1]=>111101011=>000010100=>100010100 [1,1,1,2,2,2]=>111101010=>000010101=>100010101 [1,1,1,2,3,1]=>111101001=>000010110=>100010110 [1,1,1,2,4]=>111101000=>000010111=>100010111 [1,1,1,3,1,1,1]=>111100111=>000011000=>100011000 [1,1,1,3,1,2]=>111100110=>000011001=>100011001 [1,1,1,3,2,1]=>111100101=>000011010=>100011010 [1,1,1,3,3]=>111100100=>000011011=>100011011 [1,1,1,4,1,1]=>111100011=>000011100=>100011100 [1,1,1,4,2]=>111100010=>000011101=>100011101 [1,1,1,5,1]=>111100001=>000011110=>100011110 [1,1,1,6]=>111100000=>000011111=>100011111 [1,1,2,1,1,1,1,1]=>111011111=>000100000=>100100000 [1,1,2,1,1,1,2]=>111011110=>000100001=>100100001 [1,1,2,1,1,2,1]=>111011101=>000100010=>100100010 [1,1,2,1,1,3]=>111011100=>000100011=>100100011 [1,1,2,1,2,1,1]=>111011011=>000100100=>100100100 [1,1,2,1,2,2]=>111011010=>000100101=>100100101 [1,1,2,1,3,1]=>111011001=>000100110=>100100110 [1,1,2,1,4]=>111011000=>000100111=>100100111 [1,1,2,2,1,1,1]=>111010111=>000101000=>100101000 [1,1,2,2,1,2]=>111010110=>000101001=>100101001 [1,1,2,2,2,1]=>111010101=>000101010=>100101010 [1,1,2,2,3]=>111010100=>000101011=>100101011 [1,1,2,3,1,1]=>111010011=>000101100=>100101100 [1,1,2,3,2]=>111010010=>000101101=>100101101 [1,1,2,4,1]=>111010001=>000101110=>100101110 [1,1,2,5]=>111010000=>000101111=>100101111 [1,1,3,1,1,1,1]=>111001111=>000110000=>100110000 [1,1,3,1,1,2]=>111001110=>000110001=>100110001 [1,1,3,1,2,1]=>111001101=>000110010=>100110010 [1,1,3,1,3]=>111001100=>000110011=>100110011 [1,1,3,2,1,1]=>111001011=>000110100=>100110100 [1,1,3,2,2]=>111001010=>000110101=>100110101 [1,1,3,3,1]=>111001001=>000110110=>100110110 [1,1,3,4]=>111001000=>000110111=>100110111 [1,1,4,1,1,1]=>111000111=>000111000=>100111000 [1,1,4,1,2]=>111000110=>000111001=>100111001 [1,1,4,2,1]=>111000101=>000111010=>100111010 [1,1,4,3]=>111000100=>000111011=>100111011 [1,1,5,1,1]=>111000011=>000111100=>100111100 [1,1,5,2]=>111000010=>000111101=>100111101 [1,1,6,1]=>111000001=>000111110=>100111110 [1,1,7]=>111000000=>000111111=>100111111 [1,2,1,1,1,1,1,1]=>110111111=>001000000=>101000000 [1,2,1,1,1,1,2]=>110111110=>001000001=>101000001 [1,2,1,1,1,2,1]=>110111101=>001000010=>101000010 [1,2,1,1,1,3]=>110111100=>001000011=>101000011 [1,2,1,1,2,1,1]=>110111011=>001000100=>101000100 [1,2,1,1,2,2]=>110111010=>001000101=>101000101 [1,2,1,1,3,1]=>110111001=>001000110=>101000110 [1,2,1,1,4]=>110111000=>001000111=>101000111 [1,2,1,2,1,1,1]=>110110111=>001001000=>101001000 [1,2,1,2,1,2]=>110110110=>001001001=>101001001 [1,2,1,2,2,1]=>110110101=>001001010=>101001010 [1,2,1,2,3]=>110110100=>001001011=>101001011 [1,2,1,3,1,1]=>110110011=>001001100=>101001100 [1,2,1,3,2]=>110110010=>001001101=>101001101 [1,2,1,4,1]=>110110001=>001001110=>101001110 [1,2,1,5]=>110110000=>001001111=>101001111 [1,2,2,1,1,1,1]=>110101111=>001010000=>101010000 [1,2,2,1,1,2]=>110101110=>001010001=>101010001 [1,2,2,1,2,1]=>110101101=>001010010=>101010010 [1,2,2,1,3]=>110101100=>001010011=>101010011 [1,2,2,2,1,1]=>110101011=>001010100=>101010100 [1,2,2,2,2]=>110101010=>001010101=>101010101 [1,2,2,3,1]=>110101001=>001010110=>101010110 [1,2,2,4]=>110101000=>001010111=>101010111 [1,2,3,1,1,1]=>110100111=>001011000=>101011000 [1,2,3,1,2]=>110100110=>001011001=>101011001 [1,2,3,2,1]=>110100101=>001011010=>101011010 [1,2,3,3]=>110100100=>001011011=>101011011 [1,2,4,1,1]=>110100011=>001011100=>101011100 [1,2,4,2]=>110100010=>001011101=>101011101 [1,2,5,1]=>110100001=>001011110=>101011110 [1,2,6]=>110100000=>001011111=>101011111 [1,3,1,1,1,1,1]=>110011111=>001100000=>101100000 [1,3,1,1,1,2]=>110011110=>001100001=>101100001 [1,3,1,1,2,1]=>110011101=>001100010=>101100010 [1,3,1,1,3]=>110011100=>001100011=>101100011 [1,3,1,2,1,1]=>110011011=>001100100=>101100100 [1,3,1,2,2]=>110011010=>001100101=>101100101 [1,3,1,3,1]=>110011001=>001100110=>101100110 [1,3,1,4]=>110011000=>001100111=>101100111 [1,3,2,1,1,1]=>110010111=>001101000=>101101000 [1,3,2,1,2]=>110010110=>001101001=>101101001 [1,3,2,2,1]=>110010101=>001101010=>101101010 [1,3,2,3]=>110010100=>001101011=>101101011 [1,3,3,1,1]=>110010011=>001101100=>101101100 [1,3,3,2]=>110010010=>001101101=>101101101 [1,3,4,1]=>110010001=>001101110=>101101110 [1,3,5]=>110010000=>001101111=>101101111 [1,4,1,1,1,1]=>110001111=>001110000=>101110000 [1,4,1,1,2]=>110001110=>001110001=>101110001 [1,4,1,2,1]=>110001101=>001110010=>101110010 [1,4,1,3]=>110001100=>001110011=>101110011 [1,4,2,1,1]=>110001011=>001110100=>101110100 [1,4,2,2]=>110001010=>001110101=>101110101 [1,4,3,1]=>110001001=>001110110=>101110110 [1,4,4]=>110001000=>001110111=>101110111 [1,5,1,1,1]=>110000111=>001111000=>101111000 [1,5,1,2]=>110000110=>001111001=>101111001 [1,5,2,1]=>110000101=>001111010=>101111010 [1,5,3]=>110000100=>001111011=>101111011 [1,6,1,1]=>110000011=>001111100=>101111100 [1,6,2]=>110000010=>001111101=>101111101 [1,7,1]=>110000001=>001111110=>101111110 [1,8]=>110000000=>001111111=>101111111 [2,1,1,1,1,1,1,1]=>101111111=>010000000=>110000000 [2,1,1,1,1,1,2]=>101111110=>010000001=>110000001 [2,1,1,1,1,2,1]=>101111101=>010000010=>110000010 [2,1,1,1,1,3]=>101111100=>010000011=>110000011 [2,1,1,1,2,1,1]=>101111011=>010000100=>110000100 [2,1,1,1,2,2]=>101111010=>010000101=>110000101 [2,1,1,1,3,1]=>101111001=>010000110=>110000110 [2,1,1,1,4]=>101111000=>010000111=>110000111 [2,1,1,2,1,1,1]=>101110111=>010001000=>110001000 [2,1,1,2,1,2]=>101110110=>010001001=>110001001 [2,1,1,2,2,1]=>101110101=>010001010=>110001010 [2,1,1,2,3]=>101110100=>010001011=>110001011 [2,1,1,3,1,1]=>101110011=>010001100=>110001100 [2,1,1,3,2]=>101110010=>010001101=>110001101 [2,1,1,4,1]=>101110001=>010001110=>110001110 [2,1,1,5]=>101110000=>010001111=>110001111 [2,1,2,1,1,1,1]=>101101111=>010010000=>110010000 [2,1,2,1,1,2]=>101101110=>010010001=>110010001 [2,1,2,1,2,1]=>101101101=>010010010=>110010010 [2,1,2,1,3]=>101101100=>010010011=>110010011 [2,1,2,2,1,1]=>101101011=>010010100=>110010100 [2,1,2,2,2]=>101101010=>010010101=>110010101 [2,1,2,3,1]=>101101001=>010010110=>110010110 [2,1,2,4]=>101101000=>010010111=>110010111 [2,1,3,1,1,1]=>101100111=>010011000=>110011000 [2,1,3,1,2]=>101100110=>010011001=>110011001 [2,1,3,2,1]=>101100101=>010011010=>110011010 [2,1,3,3]=>101100100=>010011011=>110011011 [2,1,4,1,1]=>101100011=>010011100=>110011100 [2,1,4,2]=>101100010=>010011101=>110011101 [2,1,5,1]=>101100001=>010011110=>110011110 [2,1,6]=>101100000=>010011111=>110011111 [2,2,1,1,1,1,1]=>101011111=>010100000=>110100000 [2,2,1,1,1,2]=>101011110=>010100001=>110100001 [2,2,1,1,2,1]=>101011101=>010100010=>110100010 [2,2,1,1,3]=>101011100=>010100011=>110100011 [2,2,1,2,1,1]=>101011011=>010100100=>110100100 [2,2,1,2,2]=>101011010=>010100101=>110100101 [2,2,1,3,1]=>101011001=>010100110=>110100110 [2,2,1,4]=>101011000=>010100111=>110100111 [2,2,2,1,1,1]=>101010111=>010101000=>110101000 [2,2,2,1,2]=>101010110=>010101001=>110101001 [2,2,2,2,1]=>101010101=>010101010=>110101010 [2,2,2,3]=>101010100=>010101011=>110101011 [2,2,3,1,1]=>101010011=>010101100=>110101100 [2,2,3,2]=>101010010=>010101101=>110101101 [2,2,4,1]=>101010001=>010101110=>110101110 [2,2,5]=>101010000=>010101111=>110101111 [2,3,1,1,1,1]=>101001111=>010110000=>110110000 [2,3,1,1,2]=>101001110=>010110001=>110110001 [2,3,1,2,1]=>101001101=>010110010=>110110010 [2,3,1,3]=>101001100=>010110011=>110110011 [2,3,2,1,1]=>101001011=>010110100=>110110100 [2,3,2,2]=>101001010=>010110101=>110110101 [2,3,3,1]=>101001001=>010110110=>110110110 [2,3,4]=>101001000=>010110111=>110110111 [2,4,1,1,1]=>101000111=>010111000=>110111000 [2,4,1,2]=>101000110=>010111001=>110111001 [2,4,2,1]=>101000101=>010111010=>110111010 [2,4,3]=>101000100=>010111011=>110111011 [2,5,1,1]=>101000011=>010111100=>110111100 [2,5,2]=>101000010=>010111101=>110111101 [2,6,1]=>101000001=>010111110=>110111110 [2,7]=>101000000=>010111111=>110111111 [3,1,1,1,1,1,1]=>100111111=>011000000=>111000000 [3,1,1,1,1,2]=>100111110=>011000001=>111000001 [3,1,1,1,2,1]=>100111101=>011000010=>111000010 [3,1,1,1,3]=>100111100=>011000011=>111000011 [3,1,1,2,1,1]=>100111011=>011000100=>111000100 [3,1,1,2,2]=>100111010=>011000101=>111000101 [3,1,1,3,1]=>100111001=>011000110=>111000110 [3,1,1,4]=>100111000=>011000111=>111000111 [3,1,2,1,1,1]=>100110111=>011001000=>111001000 [3,1,2,1,2]=>100110110=>011001001=>111001001 [3,1,2,2,1]=>100110101=>011001010=>111001010 [3,1,2,3]=>100110100=>011001011=>111001011 [3,1,3,1,1]=>100110011=>011001100=>111001100 [3,1,3,2]=>100110010=>011001101=>111001101 [3,1,4,1]=>100110001=>011001110=>111001110 [3,1,5]=>100110000=>011001111=>111001111 [3,2,1,1,1,1]=>100101111=>011010000=>111010000 [3,2,1,1,2]=>100101110=>011010001=>111010001 [3,2,1,2,1]=>100101101=>011010010=>111010010 [3,2,1,3]=>100101100=>011010011=>111010011 [3,2,2,1,1]=>100101011=>011010100=>111010100 [3,2,2,2]=>100101010=>011010101=>111010101 [3,2,3,1]=>100101001=>011010110=>111010110 [3,2,4]=>100101000=>011010111=>111010111 [3,3,1,1,1]=>100100111=>011011000=>111011000 [3,3,1,2]=>100100110=>011011001=>111011001 [3,3,2,1]=>100100101=>011011010=>111011010 [3,3,3]=>100100100=>011011011=>111011011 [3,4,1,1]=>100100011=>011011100=>111011100 [3,4,2]=>100100010=>011011101=>111011101 [3,5,1]=>100100001=>011011110=>111011110 [3,6]=>100100000=>011011111=>111011111 [4,1,1,1,1,1]=>100011111=>011100000=>111100000 [4,1,1,1,2]=>100011110=>011100001=>111100001 [4,1,1,2,1]=>100011101=>011100010=>111100010 [4,1,1,3]=>100011100=>011100011=>111100011 [4,1,2,1,1]=>100011011=>011100100=>111100100 [4,1,2,2]=>100011010=>011100101=>111100101 [4,1,3,1]=>100011001=>011100110=>111100110 [4,1,4]=>100011000=>011100111=>111100111 [4,2,1,1,1]=>100010111=>011101000=>111101000 [4,2,1,2]=>100010110=>011101001=>111101001 [4,2,2,1]=>100010101=>011101010=>111101010 [4,2,3]=>100010100=>011101011=>111101011 [4,3,1,1]=>100010011=>011101100=>111101100 [4,3,2]=>100010010=>011101101=>111101101 [4,4,1]=>100010001=>011101110=>111101110 [4,5]=>100010000=>011101111=>111101111 [5,1,1,1,1]=>100001111=>011110000=>111110000 [5,1,1,2]=>100001110=>011110001=>111110001 [5,1,2,1]=>100001101=>011110010=>111110010 [5,1,3]=>100001100=>011110011=>111110011 [5,2,1,1]=>100001011=>011110100=>111110100 [5,2,2]=>100001010=>011110101=>111110101 [5,3,1]=>100001001=>011110110=>111110110 [5,4]=>100001000=>011110111=>111110111 [6,1,1,1]=>100000111=>011111000=>111111000 [6,1,2]=>100000110=>011111001=>111111001 [6,2,1]=>100000101=>011111010=>111111010 [6,3]=>100000100=>011111011=>111111011 [7,1,1]=>100000011=>011111100=>111111100 [7,2]=>100000010=>011111101=>111111101 [8,1]=>100000001=>011111110=>111111110 [9]=>100000000=>011111111=>111111111 [1,1,1,1,1,1,1,1,1,1]=>1111111111=>0000000000=>1000000000 [1,1,1,1,1,1,1,1,2]=>1111111110=>0000000001=>1000000001 [1,1,1,1,1,1,1,2,1]=>1111111101=>0000000010=>1000000010 [1,1,1,1,1,1,1,3]=>1111111100=>0000000011=>1000000011 [1,1,1,1,1,1,2,1,1]=>1111111011=>0000000100=>1000000100 [1,1,1,1,1,1,2,2]=>1111111010=>0000000101=>1000000101 [1,1,1,1,1,1,3,1]=>1111111001=>0000000110=>1000000110 [1,1,1,1,1,1,4]=>1111111000=>0000000111=>1000000111 [1,1,1,1,1,2,1,2]=>1111110110=>0000001001=>1000001001 [1,1,1,1,1,2,2,1]=>1111110101=>0000001010=>1000001010 [1,1,1,1,1,2,3]=>1111110100=>0000001011=>1000001011 [1,1,1,1,1,3,1,1]=>1111110011=>0000001100=>1000001100 [1,1,1,1,1,3,2]=>1111110010=>0000001101=>1000001101 [1,1,1,1,1,4,1]=>1111110001=>0000001110=>1000001110 [1,1,1,1,1,5]=>1111110000=>0000001111=>1000001111 [1,1,1,1,2,1,1,2]=>1111101110=>0000010001=>1000010001 [1,1,1,1,2,1,2,1]=>1111101101=>0000010010=>1000010010 [1,1,1,1,2,2,1,1]=>1111101011=>0000010100=>1000010100 [1,1,1,1,2,2,2]=>1111101010=>0000010101=>1000010101 [1,1,1,1,2,3,1]=>1111101001=>0000010110=>1000010110 [1,1,1,1,2,4]=>1111101000=>0000010111=>1000010111 [1,1,1,1,3,1,1,1]=>1111100111=>0000011000=>1000011000 [1,1,1,1,3,3]=>1111100100=>0000011011=>1000011011 [1,1,1,1,4,2]=>1111100010=>0000011101=>1000011101 [1,1,1,1,5,1]=>1111100001=>0000011110=>1000011110 [1,1,1,1,6]=>1111100000=>0000011111=>1000011111 [1,1,1,2,1,1,1,2]=>1111011110=>0000100001=>1000100001 [1,1,1,2,1,2,1,1]=>1111011011=>0000100100=>1000100100 [1,1,1,2,1,4]=>1111011000=>0000100111=>1000100111 [1,1,1,2,2,1,1,1]=>1111010111=>0000101000=>1000101000 [1,1,1,2,2,2,1]=>1111010101=>0000101010=>1000101010 [1,1,1,2,3,2]=>1111010010=>0000101101=>1000101101 [1,1,1,2,4,1]=>1111010001=>0000101110=>1000101110 [1,1,1,2,5]=>1111010000=>0000101111=>1000101111 [1,1,1,3,1,1,2]=>1111001110=>0000110001=>1000110001 [1,1,1,3,1,3]=>1111001100=>0000110011=>1000110011 [1,1,1,3,2,1,1]=>1111001011=>0000110100=>1000110100 [1,1,1,3,2,2]=>1111001010=>0000110101=>1000110101 [1,1,1,3,3,1]=>1111001001=>0000110110=>1000110110 [1,1,1,3,4]=>1111001000=>0000110111=>1000110111 [1,1,1,4,1,2]=>1111000110=>0000111001=>1000111001 [1,1,1,4,2,1]=>1111000101=>0000111010=>1000111010 [1,1,1,4,3]=>1111000100=>0000111011=>1000111011 [1,1,1,5,1,1]=>1111000011=>0000111100=>1000111100 [1,1,1,5,2]=>1111000010=>0000111101=>1000111101 [1,1,1,6,1]=>1111000001=>0000111110=>1000111110 [1,1,1,7]=>1111000000=>0000111111=>1000111111 [1,1,2,1,1,1,1,2]=>1110111110=>0001000001=>1001000001 [1,1,2,1,1,1,2,1]=>1110111101=>0001000010=>1001000010 [1,1,2,1,1,1,3]=>1110111100=>0001000011=>1001000011 [1,1,2,1,2,1,1,1]=>1110110111=>0001001000=>1001001000 [1,1,2,1,2,2,1]=>1110110101=>0001001010=>1001001010 [1,1,2,1,2,3]=>1110110100=>0001001011=>1001001011 [1,1,2,1,4,1]=>1110110001=>0001001110=>1001001110 [1,1,2,1,5]=>1110110000=>0001001111=>1001001111 [1,1,2,2,1,1,1,1]=>1110101111=>0001010000=>1001010000 [1,1,2,2,1,1,2]=>1110101110=>0001010001=>1001010001 [1,1,2,2,1,2,1]=>1110101101=>0001010010=>1001010010 [1,1,2,2,2,1,1]=>1110101011=>0001010100=>1001010100 [1,1,2,2,2,2]=>1110101010=>0001010101=>1001010101 [1,1,2,2,3,1]=>1110101001=>0001010110=>1001010110 [1,1,2,2,4]=>1110101000=>0001010111=>1001010111 [1,1,2,3,2,1]=>1110100101=>0001011010=>1001011010 [1,1,2,3,3]=>1110100100=>0001011011=>1001011011 [1,1,2,4,1,1]=>1110100011=>0001011100=>1001011100 [1,1,2,4,2]=>1110100010=>0001011101=>1001011101 [1,1,2,5,1]=>1110100001=>0001011110=>1001011110 [1,1,2,6]=>1110100000=>0001011111=>1001011111 [1,1,3,1,1,1,1,1]=>1110011111=>0001100000=>1001100000 [1,1,3,1,1,1,2]=>1110011110=>0001100001=>1001100001 [1,1,3,1,1,3]=>1110011100=>0001100011=>1001100011 [1,1,3,1,3,1]=>1110011001=>0001100110=>1001100110 [1,1,3,1,4]=>1110011000=>0001100111=>1001100111 [1,1,3,2,1,2]=>1110010110=>0001101001=>1001101001 [1,1,3,2,2,1]=>1110010101=>0001101010=>1001101010 [1,1,3,2,3]=>1110010100=>0001101011=>1001101011 [1,1,3,3,1,1]=>1110010011=>0001101100=>1001101100 [1,1,3,3,2]=>1110010010=>0001101101=>1001101101 [1,1,3,4,1]=>1110010001=>0001101110=>1001101110 [1,1,3,5]=>1110010000=>0001101111=>1001101111 [1,1,4,1,2,1]=>1110001101=>0001110010=>1001110010 [1,1,4,1,3]=>1110001100=>0001110011=>1001110011 [1,1,4,2,1,1]=>1110001011=>0001110100=>1001110100 [1,1,4,2,2]=>1110001010=>0001110101=>1001110101 [1,1,4,3,1]=>1110001001=>0001110110=>1001110110 [1,1,4,4]=>1110001000=>0001110111=>1001110111 [1,1,5,1,1,1]=>1110000111=>0001111000=>1001111000 [1,1,5,1,2]=>1110000110=>0001111001=>1001111001 [1,1,5,2,1]=>1110000101=>0001111010=>1001111010 [1,1,5,3]=>1110000100=>0001111011=>1001111011 [1,1,6,1,1]=>1110000011=>0001111100=>1001111100 [1,1,6,2]=>1110000010=>0001111101=>1001111101 [1,1,7,1]=>1110000001=>0001111110=>1001111110 [1,1,8]=>1110000000=>0001111111=>1001111111 [1,2,1,1,1,1,1,1,1]=>1101111111=>0010000000=>1010000000 [1,2,1,1,1,1,1,2]=>1101111110=>0010000001=>1010000001 [1,2,1,1,1,1,2,1]=>1101111101=>0010000010=>1010000010 [1,2,1,1,1,2,1,1]=>1101111011=>0010000100=>1010000100 [1,2,1,1,1,3,1]=>1101111001=>0010000110=>1010000110 [1,2,1,1,1,4]=>1101111000=>0010000111=>1010000111 [1,2,1,1,3,2]=>1101110010=>0010001101=>1010001101 [1,2,1,1,4,1]=>1101110001=>0010001110=>1010001110 [1,2,1,1,5]=>1101110000=>0010001111=>1010001111 [1,2,1,2,1,1,1,1]=>1101101111=>0010010000=>1010010000 [1,2,1,2,1,3]=>1101101100=>0010010011=>1010010011 [1,2,1,2,2,1,1]=>1101101011=>0010010100=>1010010100 [1,2,1,2,2,2]=>1101101010=>0010010101=>1010010101 [1,2,1,2,3,1]=>1101101001=>0010010110=>1010010110 [1,2,1,2,4]=>1101101000=>0010010111=>1010010111 [1,2,1,3,1,2]=>1101100110=>0010011001=>1010011001 [1,2,1,3,2,1]=>1101100101=>0010011010=>1010011010 [1,2,1,3,3]=>1101100100=>0010011011=>1010011011 [1,2,1,4,1,1]=>1101100011=>0010011100=>1010011100 [1,2,1,4,2]=>1101100010=>0010011101=>1010011101 [1,2,1,5,1]=>1101100001=>0010011110=>1010011110 [1,2,1,6]=>1101100000=>0010011111=>1010011111 [1,2,2,1,1,1,1,1]=>1101011111=>0010100000=>1010100000 [1,2,2,1,2,1,1]=>1101011011=>0010100100=>1010100100 [1,2,2,1,2,2]=>1101011010=>0010100101=>1010100101 [1,2,2,1,3,1]=>1101011001=>0010100110=>1010100110 [1,2,2,1,4]=>1101011000=>0010100111=>1010100111 [1,2,2,2,1,1,1]=>1101010111=>0010101000=>1010101000 [1,2,2,2,2,1]=>1101010101=>0010101010=>1010101010 [1,2,2,2,3]=>1101010100=>0010101011=>1010101011 [1,2,2,3,1,1]=>1101010011=>0010101100=>1010101100 [1,2,2,3,2]=>1101010010=>0010101101=>1010101101 [1,2,2,4,1]=>1101010001=>0010101110=>1010101110 [1,2,3,1,1,2]=>1101001110=>0010110001=>1010110001 [1,2,3,1,2,1]=>1101001101=>0010110010=>1010110010 [1,2,3,1,3]=>1101001100=>0010110011=>1010110011 [1,2,3,2,1,1]=>1101001011=>0010110100=>1010110100 [1,2,3,2,2]=>1101001010=>0010110101=>1010110101 [1,2,3,3,1]=>1101001001=>0010110110=>1010110110 [1,2,3,4]=>1101001000=>0010110111=>1010110111 [1,2,4,1,2]=>1101000110=>0010111001=>1010111001 [1,2,4,2,1]=>1101000101=>0010111010=>1010111010 [1,2,5,1,1]=>1101000011=>0010111100=>1010111100 [1,2,5,2]=>1101000010=>0010111101=>1010111101 [1,2,7]=>1101000000=>0010111111=>1010111111 [1,3,1,1,1,1,1,1]=>1100111111=>0011000000=>1011000000 [1,3,1,1,1,3]=>1100111100=>0011000011=>1011000011 [1,3,1,1,3,1]=>1100111001=>0011000110=>1011000110 [1,3,1,1,4]=>1100111000=>0011000111=>1011000111 [1,3,1,2,1,2]=>1100110110=>0011001001=>1011001001 [1,3,1,2,2,1]=>1100110101=>0011001010=>1011001010 [1,3,1,2,3]=>1100110100=>0011001011=>1011001011 [1,3,1,3,1,1]=>1100110011=>0011001100=>1011001100 [1,3,1,3,2]=>1100110010=>0011001101=>1011001101 [1,3,1,4,1]=>1100110001=>0011001110=>1011001110 [1,3,2,1,2,1]=>1100101101=>0011010010=>1011010010 [1,3,2,1,3]=>1100101100=>0011010011=>1011010011 [1,3,2,2,1,1]=>1100101011=>0011010100=>1011010100 [1,3,2,2,2]=>1100101010=>0011010101=>1011010101 [1,3,2,3,1]=>1100101001=>0011010110=>1011010110 [1,3,2,4]=>1100101000=>0011010111=>1011010111 [1,3,3,1,2]=>1100100110=>0011011001=>1011011001 [1,3,3,2,1]=>1100100101=>0011011010=>1011011010 [1,3,3,3]=>1100100100=>0011011011=>1011011011 [1,3,4,1,1]=>1100100011=>0011011100=>1011011100 [1,3,4,2]=>1100100010=>0011011101=>1011011101 [1,3,6]=>1100100000=>0011011111=>1011011111 [1,4,1,1,1,2]=>1100011110=>0011100001=>1011100001 [1,4,1,2,1,1]=>1100011011=>0011100100=>1011100100 [1,4,1,3,1]=>1100011001=>0011100110=>1011100110 [1,4,1,4]=>1100011000=>0011100111=>1011100111 [1,4,2,2,1]=>1100010101=>0011101010=>1011101010 [1,4,3,1,1]=>1100010011=>0011101100=>1011101100 [1,4,3,2]=>1100010010=>0011101101=>1011101101 [1,5,1,1,1,1]=>1100001111=>0011110000=>1011110000 [1,5,1,1,2]=>1100001110=>0011110001=>1011110001 [1,5,1,2,1]=>1100001101=>0011110010=>1011110010 [1,5,1,3]=>1100001100=>0011110011=>1011110011 [1,5,2,1,1]=>1100001011=>0011110100=>1011110100 [1,5,2,2]=>1100001010=>0011110101=>1011110101 [1,5,4]=>1100001000=>0011110111=>1011110111 [1,6,1,1,1]=>1100000111=>0011111000=>1011111000 [1,6,1,2]=>1100000110=>0011111001=>1011111001 [1,7,1,1]=>1100000011=>0011111100=>1011111100 [1,7,2]=>1100000010=>0011111101=>1011111101 [1,8,1]=>1100000001=>0011111110=>1011111110 [1,9]=>1100000000=>0011111111=>1011111111 [2,1,1,1,1,1,1,1,1]=>1011111111=>0100000000=>1100000000 [2,1,1,1,1,1,1,2]=>1011111110=>0100000001=>1100000001 [2,1,1,1,1,1,2,1]=>1011111101=>0100000010=>1100000010 [2,1,1,1,1,1,3]=>1011111100=>0100000011=>1100000011 [2,1,1,1,1,2,1,1]=>1011111011=>0100000100=>1100000100 [2,1,1,1,1,2,2]=>1011111010=>0100000101=>1100000101 [2,1,1,1,1,4]=>1011111000=>0100000111=>1100000111 [2,1,1,1,2,1,1,1]=>1011110111=>0100001000=>1100001000 [2,1,1,1,2,3]=>1011110100=>0100001011=>1100001011 [2,1,1,1,4,1]=>1011110001=>0100001110=>1100001110 [2,1,1,1,5]=>1011110000=>0100001111=>1100001111 [2,1,1,2,1,1,2]=>1011101110=>0100010001=>1100010001 [2,1,1,2,1,3]=>1011101100=>0100010011=>1100010011 [2,1,1,2,2,2]=>1011101010=>0100010101=>1100010101 [2,1,1,2,3,1]=>1011101001=>0100010110=>1100010110 [2,1,1,2,4]=>1011101000=>0100010111=>1100010111 [2,1,1,3,1,2]=>1011100110=>0100011001=>1100011001 [2,1,1,3,2,1]=>1011100101=>0100011010=>1100011010 [2,1,1,3,3]=>1011100100=>0100011011=>1100011011 [2,1,1,4,1,1]=>1011100011=>0100011100=>1100011100 [2,1,1,4,2]=>1011100010=>0100011101=>1100011101 [2,1,1,5,1]=>1011100001=>0100011110=>1100011110 [2,1,1,6]=>1011100000=>0100011111=>1100011111 [2,1,2,1,1,1,1,1]=>1011011111=>0100100000=>1100100000 [2,1,2,1,1,1,2]=>1011011110=>0100100001=>1100100001 [2,1,2,1,1,3]=>1011011100=>0100100011=>1100100011 [2,1,2,1,3,1]=>1011011001=>0100100110=>1100100110 [2,1,2,1,4]=>1011011000=>0100100111=>1100100111 [2,1,2,2,1,1,1]=>1011010111=>0100101000=>1100101000 [2,1,2,2,1,2]=>1011010110=>0100101001=>1100101001 [2,1,2,2,2,1]=>1011010101=>0100101010=>1100101010 [2,1,2,2,3]=>1011010100=>0100101011=>1100101011 [2,1,2,3,1,1]=>1011010011=>0100101100=>1100101100 [2,1,2,3,2]=>1011010010=>0100101101=>1100101101 [2,1,2,4,1]=>1011010001=>0100101110=>1100101110 [2,1,2,5]=>1011010000=>0100101111=>1100101111 [2,1,3,1,1,2]=>1011001110=>0100110001=>1100110001 [2,1,3,1,2,1]=>1011001101=>0100110010=>1100110010 [2,1,3,1,3]=>1011001100=>0100110011=>1100110011 [2,1,3,2,1,1]=>1011001011=>0100110100=>1100110100 [2,1,3,2,2]=>1011001010=>0100110101=>1100110101 [2,1,3,3,1]=>1011001001=>0100110110=>1100110110 [2,1,3,4]=>1011001000=>0100110111=>1100110111 [2,1,4,1,1,1]=>1011000111=>0100111000=>1100111000 [2,1,4,1,2]=>1011000110=>0100111001=>1100111001 [2,1,4,2,1]=>1011000101=>0100111010=>1100111010 [2,1,4,3]=>1011000100=>0100111011=>1100111011 [2,1,5,1,1]=>1011000011=>0100111100=>1100111100 [2,1,6,1]=>1011000001=>0100111110=>1100111110 [2,1,7]=>1011000000=>0100111111=>1100111111 [2,2,1,1,1,1,1,1]=>1010111111=>0101000000=>1101000000 [2,2,1,1,1,1,2]=>1010111110=>0101000001=>1101000001 [2,2,1,1,1,3]=>1010111100=>0101000011=>1101000011 [2,2,1,1,3,1]=>1010111001=>0101000110=>1101000110 [2,2,1,1,4]=>1010111000=>0101000111=>1101000111 [2,2,1,2,1,1,1]=>1010110111=>0101001000=>1101001000 [2,2,1,2,2,1]=>1010110101=>0101001010=>1101001010 [2,2,1,2,3]=>1010110100=>0101001011=>1101001011 [2,2,1,3,1,1]=>1010110011=>0101001100=>1101001100 [2,2,1,3,2]=>1010110010=>0101001101=>1101001101 [2,2,1,4,1]=>1010110001=>0101001110=>1101001110 [2,2,1,5]=>1010110000=>0101001111=>1101001111 [2,2,2,1,1,1,1]=>1010101111=>0101010000=>1101010000 [2,2,2,1,2,1]=>1010101101=>0101010010=>1101010010 [2,2,2,1,3]=>1010101100=>0101010011=>1101010011 [2,2,2,2,1,1]=>1010101011=>0101010100=>1101010100 [2,2,2,2,2]=>1010101010=>0101010101=>1101010101 [2,2,2,3,1]=>1010101001=>0101010110=>1101010110 [2,2,2,4]=>1010101000=>0101010111=>1101010111 [2,2,3,1,1,1]=>1010100111=>0101011000=>1101011000 [2,2,3,1,2]=>1010100110=>0101011001=>1101011001 [2,2,3,2,1]=>1010100101=>0101011010=>1101011010 [2,2,4,1,1]=>1010100011=>0101011100=>1101011100 [2,2,4,2]=>1010100010=>0101011101=>1101011101 [2,2,6]=>1010100000=>0101011111=>1101011111 [2,3,1,1,1,2]=>1010011110=>0101100001=>1101100001 [2,3,1,1,2,1]=>1010011101=>0101100010=>1101100010 [2,3,1,1,3]=>1010011100=>0101100011=>1101100011 [2,3,1,2,2]=>1010011010=>0101100101=>1101100101 [2,3,1,4]=>1010011000=>0101100111=>1101100111 [2,3,2,1,1,1]=>1010010111=>0101101000=>1101101000 [2,3,2,1,2]=>1010010110=>0101101001=>1101101001 [2,3,2,2,1]=>1010010101=>0101101010=>1101101010 [2,3,2,3]=>1010010100=>0101101011=>1101101011 [2,3,3,1,1]=>1010010011=>0101101100=>1101101100 [2,3,4,1]=>1010010001=>0101101110=>1101101110 [2,3,5]=>1010010000=>0101101111=>1101101111 [2,4,1,1,2]=>1010001110=>0101110001=>1101110001 [2,4,1,2,1]=>1010001101=>0101110010=>1101110010 [2,4,1,3]=>1010001100=>0101110011=>1101110011 [2,4,2,1,1]=>1010001011=>0101110100=>1101110100 [2,4,2,2]=>1010001010=>0101110101=>1101110101 [2,4,4]=>1010001000=>0101110111=>1101110111 [2,5,1,1,1]=>1010000111=>0101111000=>1101111000 [2,5,1,2]=>1010000110=>0101111001=>1101111001 [2,5,3]=>1010000100=>0101111011=>1101111011 [2,6,2]=>1010000010=>0101111101=>1101111101 [2,7,1]=>1010000001=>0101111110=>1101111110 [2,8]=>1010000000=>0101111111=>1101111111 [3,1,1,1,1,1,1,1]=>1001111111=>0110000000=>1110000000 [3,1,1,1,1,1,2]=>1001111110=>0110000001=>1110000001 [3,1,1,1,1,3]=>1001111100=>0110000011=>1110000011 [3,1,1,1,4]=>1001111000=>0110000111=>1110000111 [3,1,1,2,3]=>1001110100=>0110001011=>1110001011 [3,1,1,4,1]=>1001110001=>0110001110=>1110001110 [3,1,1,5]=>1001110000=>0110001111=>1110001111 [3,1,2,1,1,2]=>1001101110=>0110010001=>1110010001 [3,1,2,1,2,1]=>1001101101=>0110010010=>1110010010 [3,1,2,1,3]=>1001101100=>0110010011=>1110010011 [3,1,2,2,2]=>1001101010=>0110010101=>1110010101 [3,1,2,3,1]=>1001101001=>0110010110=>1110010110 [3,1,2,4]=>1001101000=>0110010111=>1110010111 [3,1,3,1,1,1]=>1001100111=>0110011000=>1110011000 [3,1,3,1,2]=>1001100110=>0110011001=>1110011001 [3,1,3,2,1]=>1001100101=>0110011010=>1110011010 [3,1,3,3]=>1001100100=>0110011011=>1110011011 [3,1,4,1,1]=>1001100011=>0110011100=>1110011100 [3,1,5,1]=>1001100001=>0110011110=>1110011110 [3,1,6]=>1001100000=>0110011111=>1110011111 [3,2,1,1,1,1,1]=>1001011111=>0110100000=>1110100000 [3,2,1,1,1,2]=>1001011110=>0110100001=>1110100001 [3,2,1,1,3]=>1001011100=>0110100011=>1110100011 [3,2,1,2,2]=>1001011010=>0110100101=>1110100101 [3,2,1,3,1]=>1001011001=>0110100110=>1110100110 [3,2,1,4]=>1001011000=>0110100111=>1110100111 [3,2,2,1,1,1]=>1001010111=>0110101000=>1110101000 [3,2,2,1,2]=>1001010110=>0110101001=>1110101001 [3,2,2,2,1]=>1001010101=>0110101010=>1110101010 [3,2,3,1,1]=>1001010011=>0110101100=>1110101100 [3,2,3,2]=>1001010010=>0110101101=>1110101101 [3,2,5]=>1001010000=>0110101111=>1110101111 [3,3,1,1,2]=>1001001110=>0110110001=>1110110001 [3,3,1,2,1]=>1001001101=>0110110010=>1110110010 [3,3,1,3]=>1001001100=>0110110011=>1110110011 [3,3,2,1,1]=>1001001011=>0110110100=>1110110100 [3,3,4]=>1001001000=>0110110111=>1110110111 [3,4,1,1,1]=>1001000111=>0110111000=>1110111000 [3,4,1,2]=>1001000110=>0110111001=>1110111001 [3,4,3]=>1001000100=>0110111011=>1110111011 [3,7]=>1001000000=>0110111111=>1110111111 [4,1,1,1,1,1,1]=>1000111111=>0111000000=>1111000000 [4,1,1,1,1,2]=>1000111110=>0111000001=>1111000001 [4,1,1,1,2,1]=>1000111101=>0111000010=>1111000010 [4,1,1,1,3]=>1000111100=>0111000011=>1111000011 [4,1,1,2,2]=>1000111010=>0111000101=>1111000101 [4,1,1,3,1]=>1000111001=>0111000110=>1111000110 [4,1,1,4]=>1000111000=>0111000111=>1111000111 [4,1,2,1,1,1]=>1000110111=>0111001000=>1111001000 [4,1,2,1,2]=>1000110110=>0111001001=>1111001001 [4,1,2,2,1]=>1000110101=>0111001010=>1111001010 [4,1,2,3]=>1000110100=>0111001011=>1111001011 [4,1,3,1,1]=>1000110011=>0111001100=>1111001100 [4,1,3,2]=>1000110010=>0111001101=>1111001101 [4,1,4,1]=>1000110001=>0111001110=>1111001110 [4,2,1,1,1,1]=>1000101111=>0111010000=>1111010000 [4,2,1,1,2]=>1000101110=>0111010001=>1111010001 [4,2,1,2,1]=>1000101101=>0111010010=>1111010010 [4,2,1,3]=>1000101100=>0111010011=>1111010011 [4,2,2,1,1]=>1000101011=>0111010100=>1111010100 [4,2,2,2]=>1000101010=>0111010101=>1111010101 [4,3,1,1,1]=>1000100111=>0111011000=>1111011000 [4,3,1,2]=>1000100110=>0111011001=>1111011001 [4,3,2,1]=>1000100101=>0111011010=>1111011010 [4,6]=>1000100000=>0111011111=>1111011111 [5,1,1,1,1,1]=>1000011111=>0111100000=>1111100000 [5,1,1,1,2]=>1000011110=>0111100001=>1111100001 [5,1,1,2,1]=>1000011101=>0111100010=>1111100010 [5,1,1,3]=>1000011100=>0111100011=>1111100011 [5,1,2,1,1]=>1000011011=>0111100100=>1111100100 [5,1,2,2]=>1000011010=>0111100101=>1111100101 [5,1,4]=>1000011000=>0111100111=>1111100111 [5,2,1,1,1]=>1000010111=>0111101000=>1111101000 [5,2,1,2]=>1000010110=>0111101001=>1111101001 [5,5]=>1000010000=>0111101111=>1111101111 [6,1,1,1,1]=>1000001111=>0111110000=>1111110000 [6,1,1,2]=>1000001110=>0111110001=>1111110001 [6,1,2,1]=>1000001101=>0111110010=>1111110010 [6,2,1,1]=>1000001011=>0111110100=>1111110100 [6,2,2]=>1000001010=>0111110101=>1111110101 [6,4]=>1000001000=>0111110111=>1111110111 [7,1,1,1]=>1000000111=>0111111000=>1111111000 [7,1,2]=>1000000110=>0111111001=>1111111001 [7,2,1]=>1000000101=>0111111010=>1111111010 [7,3]=>1000000100=>0111111011=>1111111011 [8,1,1]=>1000000011=>0111111100=>1111111100 [8,2]=>1000000010=>0111111101=>1111111101 [9,1]=>1000000001=>0111111110=>1111111110 [10]=>1000000000=>0111111111=>1111111111 [1,10]=>11000000000=>00111111111=>10111111111 [1,1,8,1]=>11100000001=>00011111110=>10011111110 [10,1]=>10000000001=>01111111110=>11111111110 [1,1,1,1,1,1,1,1,1,1,1,1]=>111111111111=>000000000000=>100000000000 [1,1,1,1,1,1,1,1,2,2]=>111111111010=>000000000101=>100000000101 [1,1,1,1,1,1,3,3]=>111111100100=>000000011011=>100000011011 [1,1,1,1,2,2,2,2]=>111110101010=>000001010101=>100001010101 [1,1,1,1,2,1,2,3]=>111110110100=>000001001011=>100001001011 [1,1,1,1,3,1,1,3]=>111110011100=>000001100011=>100001100011 [1,1,1,1,4,4]=>111110001000=>000001110111=>100001110111 [1,1,2,2,3,3]=>111010100100=>000101011011=>100101011011 [1,1,2,1,1,2,2,2]=>111011101010=>000100010101=>100100010101 [1,1,2,1,1,1,2,3]=>111011110100=>000100001011=>100100001011 [1,1,2,1,2,2,1,2]=>111011010110=>000100101001=>100100101001 [1,1,2,1,2,1,1,3]=>111011011100=>000100100011=>100100100011 [1,1,2,1,3,4]=>111011001000=>000100110111=>100100110111 [1,1,3,3,2,2]=>111001001010=>000110110101=>100110110101 [1,1,3,2,1,1,1,2]=>111001011110=>000110100001=>100110100001 [1,1,3,2,2,3]=>111001010100=>000110101011=>100110101011 [1,1,3,1,1,2,1,2]=>111001110110=>000110001001=>100110001001 [1,1,3,1,1,1,1,3]=>111001111100=>000110000011=>100110000011 [1,1,3,1,2,4]=>111001101000=>000110010111=>100110010111 [1,1,4,4,1,1]=>111000100011=>000111011100=>100111011100 [1,1,4,2,1,3]=>111000101100=>000111010011=>100111010011 [1,1,4,1,1,4]=>111000111000=>000111000111=>100111000111 [1,1,5,5]=>111000010000=>000111101111=>100111101111 [2,2,1,1,3,3]=>101011100100=>010100011011=>110100011011 [2,2,2,2,2,2]=>101010101010=>010101010101=>110101010101 [2,2,2,1,2,3]=>101010110100=>010101001011=>110101001011 [2,2,3,3,1,1]=>101010010011=>010101101100=>110101101100 [2,2,3,2,1,2]=>101010010110=>010101101001=>110101101001 [2,2,4,4]=>101010001000=>010101110111=>110101110111 [2,1,1,2,3,3]=>101110100100=>010001011011=>110001011011 [2,1,1,1,1,2,2,2]=>101111101010=>010000010101=>110000010101 [2,1,1,1,1,1,2,3]=>101111110100=>010000001011=>110000001011 [2,1,1,1,2,2,1,2]=>101111010110=>010000101001=>110000101001 [2,1,1,1,2,1,1,3]=>101111011100=>010000100011=>110000100011 [2,1,1,1,3,4]=>101111001000=>010000110111=>110000110111 [2,1,2,3,2,2]=>101101001010=>010010110101=>110010110101 [2,1,2,2,1,1,1,2]=>101101011110=>010010100001=>110010100001 [2,1,2,2,2,3]=>101101010100=>010010101011=>110010101011 [2,1,2,1,1,2,1,2]=>101101110110=>010010001001=>110010001001 [2,1,2,1,1,1,1,3]=>101101111100=>010010000011=>110010000011 [2,1,2,1,2,4]=>101101101000=>010010010111=>110010010111 [2,1,3,4,1,1]=>101100100011=>010011011100=>110011011100 [2,1,3,2,1,3]=>101100101100=>010011010011=>110011010011 [2,1,3,1,1,4]=>101100111000=>010011000111=>110011000111 [2,1,4,5]=>101100010000=>010011101111=>110011101111 [3,3,1,1,2,2]=>100100111010=>011011000101=>111011000101 [3,3,2,2,1,1]=>100100101011=>011011010100=>111011010100 [3,3,2,1,1,2]=>100100101110=>011011010001=>111011010001 [3,3,3,3]=>100100100100=>011011011011=>111011011011 [3,2,1,2,2,2]=>100101101010=>011010010101=>111010010101 [3,2,1,1,1,1,1,2]=>100101111110=>011010000001=>111010000001 [3,2,1,1,2,3]=>100101110100=>011010001011=>111010001011 [3,2,2,3,1,1]=>100101010011=>011010101100=>111010101100 [3,2,2,2,1,2]=>100101010110=>011010101001=>111010101001 [3,2,3,4]=>100101001000=>011010110111=>111010110111 [3,1,1,2,1,1,1,2]=>100111011110=>011000100001=>111000100001 [3,1,1,2,2,3]=>100111010100=>011000101011=>111000101011 [3,1,1,1,1,1,1,3]=>100111111100=>011000000011=>111000000011 [3,1,1,1,2,4]=>100111101000=>011000010111=>111000010111 [3,1,2,4,1,1]=>100110100011=>011001011100=>111001011100 [3,1,2,3,1,2]=>100110100110=>011001011001=>111001011001 [3,1,3,5]=>100110010000=>011001101111=>111001101111 [4,4,1,1,1,1]=>100010001111=>011101110000=>111101110000 [4,4,2,2]=>100010001010=>011101110101=>111101110101 [4,3,1,2,1,1]=>100010011011=>011101100100=>111101100100 [4,3,1,1,1,2]=>100010011110=>011101100001=>111101100001 [4,3,2,3]=>100010010100=>011101101011=>111101101011 [4,2,1,3,1,1]=>100010110011=>011101001100=>111101001100 [4,2,1,2,1,2]=>100010110110=>011101001001=>111101001001 [4,2,1,1,1,3]=>100010111100=>011101000011=>111101000011 [4,2,2,4]=>100010101000=>011101010111=>111101010111 [4,1,1,4,1,1]=>100011100011=>011100011100=>111100011100 [4,1,1,3,1,2]=>100011100110=>011100011001=>111100011001 [4,1,1,2,1,3]=>100011101100=>011100010011=>111100010011 [4,1,1,1,1,4]=>100011111000=>011100000111=>111100000111 [4,1,2,5]=>100011010000=>011100101111=>111100101111 [5,4,1,2]=>100001000110=>011110111001=>111110111001 [5,3,1,3]=>100001001100=>011110110011=>111110110011 [5,2,1,4]=>100001011000=>011110100111=>111110100111 [5,1,1,5]=>100001110000=>011110001111=>111110001111 [6,6]=>100000100000=>011111011111=>111111011111 [1,2,2,2,2,2,1]=>110101010101=>001010101010=>101010101010 [1,2,2,2,3,2]=>110101010010=>001010101101=>101010101101 [1,2,2,3,3,1]=>110101001001=>001010110110=>101010110110 [1,2,2,3,2,2]=>110101001010=>001010110101=>101010110101 [1,2,3,3,2,1]=>110100100101=>001011011010=>101011011010 [1,2,3,2,3,1]=>110100101001=>001011010110=>101011010110 [1,2,3,2,2,2]=>110100101010=>001011010101=>101011010101 [1,2,5,4]=>110100001000=>001011110111=>101011110111 [1,3,3,2,2,1]=>110010010101=>001101101010=>101101101010 [1,3,5,3]=>110010000100=>001101111011=>101101111011 [1,3,2,3,2,1]=>110010100101=>001101011010=>101101011010 [1,3,2,2,3,1]=>110010101001=>001101010110=>101101010110 [1,3,2,2,2,2]=>110010101010=>001101010101=>101101010101 [1,3,4,4]=>110010001000=>001101110111=>101101110111 [1,4,5,2]=>110001000010=>001110111101=>101110111101 [1,4,3,4]=>110001001000=>001110110111=>101110110111 [1,5,4,2]=>110000100010=>001111011101=>101111011101 [1,5,3,3]=>110000100100=>001111011011=>101111011011 [1,5,2,4]=>110000101000=>001111010111=>101111010111 [2,3,2,2,2,1]=>101001010101=>010110101010=>110110101010 [2,3,4,3]=>101001000100=>010110111011=>110110111011 [2,4,4,2]=>101000100010=>010111011101=>110111011101 [2,5,4,1]=>101000010001=>010111101110=>110111101110 [2,5,2,3]=>101000010100=>010111101011=>110111101011 [2,2,3,2,2,1]=>101010010101=>010101101010=>110101101010 [2,2,2,3,2,1]=>101010100101=>010101011010=>110101011010 [2,2,2,2,3,1]=>101010101001=>010101010110=>110101010110 [2,4,2,4]=>101000101000=>010111010111=>110111010111 [3,2,5,2]=>100101000010=>011010111101=>111010111101 [4,5,2,1]=>100010000101=>011101111010=>111101111010 [4,3,4,1]=>100010010001=>011101101110=>111101101110 [4,2,4,2]=>100010100010=>011101011101=>111101011101 [1,8,2]=>11000000010=>00111111101=>10111111101 [1,2,1,1,1,1,1,1,2]=>11011111110=>00100000001=>10100000001 [1,1,1,1,1,1,1,1,1,2]=>11111111110=>00000000001=>10000000001 [1,11]=>110000000000=>001111111111=>101111111111 [1,8,1,2]=>110000000110=>001111111001=>101111111001 [1,7,1,1,2]=>110000001110=>001111110001=>101111110001 [1,6,1,1,1,2]=>110000011110=>001111100001=>101111100001 [1,4,1,1,1,1,1,2]=>110001111110=>001110000001=>101110000001 [1,2,1,1,1,1,1,1,1,2]=>110111111110=>001000000001=>101000000001 [1,2,2,2,2,2]=>11010101010=>00101010101=>10101010101 [1,2,2,2,1,3]=>11010101100=>00101010011=>10101010011 [1,2,2,1,2,3]=>11010110100=>00101001011=>10101001011 [1,2,1,2,2,3]=>11011010100=>00100101011=>10100101011 [1,1,3,2,2,2]=>11100101010=>00011010101=>10011010101 [1,1,2,3,2,2]=>11101001010=>00010110101=>10010110101 [1,1,2,2,3,2]=>11101010010=>00010101101=>10010101101 [1,1,2,2,2,3]=>11101010100=>00010101011=>10010101011 [1,1,2,1,1,5]=>11101110000=>00010001111=>10010001111 [1,1,1,3,1,4]=>11110011000=>00001100111=>10001100111 [1,1,1,2,4,2]=>11110100010=>00001011101=>10001011101 [1,1,1,1,5,2]=>11111000010=>00000111101=>10000111101 [1,1,1,1,4,3]=>11111000100=>00000111011=>10000111011 [1,1,1,1,3,4]=>11111001000=>00000110111=>10000110111 [1,1,1,1,1,6]=>11111100000=>00000011111=>10000011111 [5,1,2,1,3]=>100001101100=>011110010011=>111110010011 [1,5,2,1,3]=>110000101100=>001111010011=>101111010011 [1,1,6,1,3]=>111000001100=>000111110011=>100111110011 [1,1,2,1,4,2,1]=>111011000101=>000100111010=>100100111010 [1,1,2,3,2,2,1]=>111010010101=>000101101010=>100101101010 [3,1,2,1,2,2,1]=>100110110101=>011001001010=>111001001010 [1,3,2,1,2,2,1]=>110010110101=>001101001010=>101101001010 [1,1,4,1,2,2,1]=>111000110101=>000111001010=>100111001010 [1,1,2,1,2,4,1]=>111011010001=>000100101110=>100100101110 [1,1,1,2,1,5,1]=>111101100001=>000010011110=>100010011110 [1,2,2,1,2,3,1]=>110101101001=>001010010110=>101010010110 [1,1,2,2,2,3,1]=>111010101001=>000101010110=>100101010110 [1,1,1,2,3,3,1]=>111101001001=>000010110110=>100010110110 [1,3,1,2,1,3,1]=>110011011001=>001100100110=>101100100110 [1,1,3,2,1,3,1]=>111001011001=>000110100110=>100110100110 [1,1,1,4,1,3,1]=>111100011001=>000011100110=>100011100110 [1,2,4,1,2,1,1]=>110100011011=>001011100100=>101011100100 [3,2,2,1,2,1,1]=>100101011011=>011010100100=>111010100100 [1,4,2,1,2,1,1]=>110001011011=>001110100100=>101110100100 [1,2,2,3,2,1,1]=>110101001011=>001010110100=>101010110100 [1,1,2,4,2,1,1]=>111010001011=>000101110100=>100101110100 [3,1,2,2,2,1,1]=>100110101011=>011001010100=>111001010100 [1,3,2,2,2,1,1]=>110010101011=>001101010100=>101101010100 [1,1,4,2,2,1,1]=>111000101011=>000111010100=>100111010100 [1,2,2,1,4,1,1]=>110101100011=>001010011100=>101010011100 [1,1,2,2,4,1,1]=>111010100011=>000101011100=>100101011100 [1,1,1,2,5,1,1]=>111101000011=>000010111100=>100010111100 [3,1,1,2,3,1,1]=>100111010011=>011000101100=>111000101100 [1,3,1,2,3,1,1]=>110011010011=>001100101100=>101100101100 [1,1,3,2,3,1,1]=>111001010011=>000110101100=>100110101100 [1,1,1,4,3,1,1]=>111100010011=>000011101100=>100011101100 [5,1,1,2,1,1,1]=>100001110111=>011110001000=>111110001000 [3,3,1,2,1,1,1]=>100100110111=>011011001000=>111011001000 [1,5,1,2,1,1,1]=>110000110111=>001111001000=>101111001000 [3,1,3,2,1,1,1]=>100110010111=>011001101000=>111001101000 [1,3,3,2,1,1,1]=>110010010111=>001101101000=>101101101000 [3,1,1,4,1,1,1]=>100111000111=>011000111000=>111000111000 [1,3,1,4,1,1,1]=>110011000111=>001100111000=>101100111000 [2,2,2,2,1,2,1]=>101010101101=>010101010010=>110101010010 [2,2,2,1,2,2,1]=>101010110101=>010101001010=>110101001010 [2,2,1,2,1,1,2,1]=>101011011101=>010100100010=>110100100010 [2,2,1,2,2,2,1]=>101011010101=>010100101010=>110100101010 [2,2,1,1,1,2,2,1]=>101011110101=>010100001010=>110100001010 [2,1,2,1,2,1,2,1]=>101101101101=>010010010010=>110010010010 [2,1,2,2,2,2,1]=>101101010101=>010010101010=>110010101010 [2,1,1,2,1,2,2,1]=>101110110101=>010001001010=>110001001010 [1,2,1,2,1,2,1,2]=>110110110110=>001001001001=>101001001001 [1,2,1,1,2,1,2,2]=>110111011010=>001000100101=>101000100101 [1,2,1,1,1,2,2,2]=>110111101010=>001000010101=>101000010101 [1,2,2,1,1,1,2,2]=>110101111010=>001010000101=>101010000101 [1,1,2,2,1,2,2,1]=>111010110101=>000101001010=>100101001010 [1,1,1,2,2,1,2,2]=>111101011010=>000010100101=>100010100101 [1,1,1,2,1,2,2,2]=>111101101010=>000010010101=>100010010101 [3,3,3,2]=>10010010010=>01101101101=>11101101101 [3,4,4]=>10010001000=>01101110111=>11101110111 [4,4,3]=>10001000100=>01110111011=>11110111011 [2,1,1,1,1,1,1,1,1,1]=>10111111111=>01000000000=>11000000000 [3,2,2,2,2,1]=>100101010101=>011010101010=>111010101010 [4,2,2,2,2]=>100010101010=>011101010101=>111101010101 [5,2,3,2]=>100001010010=>011110101101=>111110101101 [2,1,1,6,1]=>10111000001=>01000111110=>11000111110 [2,1,1,1,1,4,1]=>10111110001=>01000001110=>11000001110 [2,1,1,1,1,1,1,2,1]=>10111111101=>01000000010=>11000000010 [11,1]=>100000000001=>011111111110=>111111111110 [2,1,8,1]=>101100000001=>010011111110=>110011111110 [2,1,1,1,6,1]=>101111000001=>010000111110=>110000111110 [2,1,1,2,4,1]=>10111010001=>01000101110=>11000101110 [2,1,1,1,1,5,1]=>101111100001=>010000011110=>110000011110 [2,1,1,1,1,1,4,1]=>101111110001=>010000001110=>110000001110 [2,1,1,1,1,1,1,1,2,1]=>101111111101=>010000000010=>110000000010 [2,2,2,2,2,1]=>10101010101=>01010101010=>11010101010 [3,1,2,2,2,1]=>10011010101=>01100101010=>11100101010 [3,2,1,2,2,1]=>10010110101=>01101001010=>11101001010 [3,2,2,1,2,1]=>10010101101=>01101010010=>11101010010 [2,4,1,1,2,1]=>10100011101=>01011100010=>11011100010 [4,2,1,1,2,1]=>10001011101=>01110100010=>11110100010 [3,2,2,2,1,1]=>10010101011=>01101010100=>11101010100 [2,4,2,1,1,1]=>10100010111=>01011101000=>11011101000 [2,5,1,1,1,1]=>10100001111=>01011110000=>11011110000 [3,4,1,1,1,1]=>10010001111=>01101110000=>11101110000 [4,3,1,1,1,1]=>10001001111=>01110110000=>11110110000 [6,1,1,1,1,1]=>10000011111=>01111100000=>11111100000 [1,2,2,1,2,1,1,2]=>110101101110=>001010010001=>101010010001 [1,2,2,1,2,2,1,1]=>110101101011=>001010010100=>101010010100 [1,2,1,1,1,2,1,1,1,1]=>110111101111=>001000010000=>101000010000 [1,1,2,1,1,1,2,1,1,1]=>111011110111=>000100001000=>100100001000 [1,1,1,2,1,1,1,2,1,1]=>111101111011=>000010000100=>100010000100 [1,1,1,2,1,2,1,1,1,1]=>111101101111=>000010010000=>100010010000 [1,1,1,1,2,1,1,1,2,1]=>111110111101=>000001000010=>100001000010 [1,1,1,1,2,1,2,1,1,1]=>111110110111=>000001001000=>100001001000 [2,1,1,1,1,1,1,3]=>10111111100=>01000000011=>11000000011 [2,1,1,1,2,1,1,2]=>10111101110=>01000010001=>11000010001 [2,1,1,2,1,1,1,2]=>10111011110=>01000100001=>11000100001 [2,2,1,1,1,1,1,2]=>10101111110=>01010000001=>11010000001 [3,1,1,1,1,1,1,2]=>10011111110=>01100000001=>11100000001 [1,2,2,4,2,1]=>110101000101=>001010111010=>101010111010 [1,2,4,2,2,1]=>110100010101=>001011101010=>101011101010 [1,4,2,2,2,1]=>110001010101=>001110101010=>101110101010 [2,6,2,2]=>101000001010=>010111110101=>110111110101 [6,2,2,2]=>100000101010=>011111010101=>111111010101 [2,2,2,2,2,1,1]=>101010101011=>010101010100=>110101010100 [9,2]=>10000000010=>01111111101=>11111111101 [10,2]=>100000000010=>011111111101=>111111111101 [1,2,2,2,3,1,1]=>110101010011=>001010101100=>101010101100 [1,2,2,3,1,2,1]=>110101001101=>001010110010=>101010110010 [1,2,2,4,1,1,1]=>110101000111=>001010111000=>101010111000 [1,2,3,1,2,2,1]=>110100110101=>001011001010=>101011001010 [1,2,3,1,3,1,1]=>110100110011=>001011001100=>101011001100 [1,2,3,2,1,2,1]=>110100101101=>001011010010=>101011010010 [1,2,4,1,1,2,1]=>110100011101=>001011100010=>101011100010 [1,2,3,2,2,1,1]=>110100101011=>001011010100=>101011010100 [1,2,3,3,1,1,1]=>110100100111=>001011011000=>101011011000 [1,2,4,2,1,1,1]=>110100010111=>001011101000=>101011101000 [1,2,5,1,1,1,1]=>110100001111=>001011110000=>101011110000 [1,3,1,2,2,2,1]=>110011010101=>001100101010=>101100101010 [1,3,1,3,1,2,1]=>110011001101=>001100110010=>101100110010 [1,3,1,3,2,1,1]=>110011001011=>001100110100=>101100110100 [1,3,2,1,3,1,1]=>110010110011=>001101001100=>101101001100 [1,4,1,1,2,2,1]=>110001110101=>001110001010=>101110001010 [1,4,1,1,3,1,1]=>110001110011=>001110001100=>101110001100 [1,3,2,2,1,2,1]=>110010101101=>001101010010=>101101010010 [1,3,3,1,1,2,1]=>110010011101=>001101100010=>101101100010 [1,4,1,2,1,2,1]=>110001101101=>001110010010=>101110010010 [1,4,2,1,1,2,1]=>110001011101=>001110100010=>101110100010 [1,5,1,1,1,2,1]=>110000111101=>001111000010=>101111000010 [1,3,2,3,1,1,1]=>110010100111=>001101011000=>101101011000 [1,3,3,1,2,1,1]=>110010011011=>001101100100=>101101100100 [1,3,4,1,1,1,1]=>110010001111=>001101110000=>101101110000 [1,4,1,2,2,1,1]=>110001101011=>001110010100=>101110010100 [1,4,1,3,1,1,1]=>110001100111=>001110011000=>101110011000 [1,5,1,1,2,1,1]=>110000111011=>001111000100=>101111000100 [1,4,2,2,1,1,1]=>110001010111=>001110101000=>101110101000 [1,4,3,1,1,1,1]=>110001001111=>001110110000=>101110110000 [1,5,2,1,1,1,1]=>110000101111=>001111010000=>101111010000 [1,6,1,1,1,1,1]=>110000011111=>001111100000=>101111100000 [2,1,2,2,3,1,1]=>101101010011=>010010101100=>110010101100 [2,1,2,3,1,2,1]=>101101001101=>010010110010=>110010110010 [2,1,2,3,2,1,1]=>101101001011=>010010110100=>110010110100 [2,1,2,4,1,1,1]=>101101000111=>010010111000=>110010111000 [2,1,3,1,2,2,1]=>101100110101=>010011001010=>110011001010 [2,1,3,1,3,1,1]=>101100110011=>010011001100=>110011001100 [2,1,3,2,1,2,1]=>101100101101=>010011010010=>110011010010 [2,1,4,1,1,2,1]=>101100011101=>010011100010=>110011100010 [2,1,3,2,2,1,1]=>101100101011=>010011010100=>110011010100 [2,1,3,3,1,1,1]=>101100100111=>010011011000=>110011011000 [2,1,4,1,2,1,1]=>101100011011=>010011100100=>110011100100 [2,1,4,2,1,1,1]=>101100010111=>010011101000=>110011101000 [2,1,5,1,1,1,1]=>101100001111=>010011110000=>110011110000 [2,2,1,2,3,1,1]=>101011010011=>010100101100=>110100101100 [2,2,1,3,1,2,1]=>101011001101=>010100110010=>110100110010 [2,2,1,3,2,1,1]=>101011001011=>010100110100=>110100110100 [2,2,1,4,1,1,1]=>101011000111=>010100111000=>110100111000 [3,1,1,2,2,2,1]=>100111010101=>011000101010=>111000101010 [3,1,1,3,1,2,1]=>100111001101=>011000110010=>111000110010 [3,1,1,3,2,1,1]=>100111001011=>011000110100=>111000110100 [2,2,2,1,3,1,1]=>101010110011=>010101001100=>110101001100 [2,3,1,1,2,2,1]=>101001110101=>010110001010=>110110001010 [2,3,1,1,3,1,1]=>101001110011=>010110001100=>110110001100 [3,1,2,1,3,1,1]=>100110110011=>011001001100=>111001001100 [3,2,1,1,2,2,1]=>100101110101=>011010001010=>111010001010 [3,2,1,1,3,1,1]=>100101110011=>011010001100=>111010001100 [4,1,1,1,2,2,1]=>100011110101=>011100001010=>111100001010 [4,1,1,1,3,1,1]=>100011110011=>011100001100=>111100001100 [2,2,3,1,1,2,1]=>101010011101=>010101100010=>110101100010 [2,3,1,2,1,2,1]=>101001101101=>010110010010=>110110010010 [2,3,2,1,1,2,1]=>101001011101=>010110100010=>110110100010 [2,4,1,1,1,2,1]=>101000111101=>010111000010=>110111000010 [3,1,2,2,1,2,1]=>100110101101=>011001010010=>111001010010 [3,1,3,1,1,2,1]=>100110011101=>011001100010=>111001100010 [3,2,1,2,1,2,1]=>100101101101=>011010010010=>111010010010 [4,1,1,2,1,2,1]=>100011101101=>011100010010=>111100010010 [3,2,2,1,1,2,1]=>100101011101=>011010100010=>111010100010 [3,3,1,1,1,2,1]=>100100111101=>011011000010=>111011000010 [4,1,2,1,1,2,1]=>100011011101=>011100100010=>111100100010 [4,2,1,1,1,2,1]=>100010111101=>011101000010=>111101000010 [5,1,1,1,1,2,1]=>100001111101=>011110000010=>111110000010 [2,2,2,3,1,1,1]=>101010100111=>010101011000=>110101011000 [2,2,3,1,2,1,1]=>101010011011=>010101100100=>110101100100 [2,2,3,2,1,1,1]=>101010010111=>010101101000=>110101101000 [2,2,4,1,1,1,1]=>101010001111=>010101110000=>110101110000 [2,3,1,2,2,1,1]=>101001101011=>010110010100=>110110010100 [2,3,1,3,1,1,1]=>101001100111=>010110011000=>110110011000 [2,3,2,1,2,1,1]=>101001011011=>010110100100=>110110100100 [2,4,1,1,2,1,1]=>101000111011=>010111000100=>110111000100 [2,3,2,2,1,1,1]=>101001010111=>010110101000=>110110101000 [2,3,3,1,1,1,1]=>101001001111=>010110110000=>110110110000 [2,4,1,2,1,1,1]=>101000110111=>010111001000=>110111001000 [2,4,2,1,1,1,1]=>101000101111=>010111010000=>110111010000 [2,5,1,1,1,1,1]=>101000011111=>010111100000=>110111100000 [3,1,2,3,1,1,1]=>100110100111=>011001011000=>111001011000 [3,1,3,1,2,1,1]=>100110011011=>011001100100=>111001100100 [3,1,4,1,1,1,1]=>100110001111=>011001110000=>111001110000 [3,2,1,2,2,1,1]=>100101101011=>011010010100=>111010010100 [3,2,1,3,1,1,1]=>100101100111=>011010011000=>111010011000 [4,1,1,2,2,1,1]=>100011101011=>011100010100=>111100010100 [4,1,1,3,1,1,1]=>100011100111=>011100011000=>111100011000 [3,3,1,1,2,1,1]=>100100111011=>011011000100=>111011000100 [4,1,2,1,2,1,1]=>100011011011=>011100100100=>111100100100 [4,2,1,1,2,1,1]=>100010111011=>011101000100=>111101000100 [5,1,1,1,2,1,1]=>100001111011=>011110000100=>111110000100 [3,2,2,2,1,1,1]=>100101010111=>011010101000=>111010101000 [3,2,3,1,1,1,1]=>100101001111=>011010110000=>111010110000 [3,3,2,1,1,1,1]=>100100101111=>011011010000=>111011010000 [3,4,1,1,1,1,1]=>100100011111=>011011100000=>111011100000 [4,1,2,2,1,1,1]=>100011010111=>011100101000=>111100101000 [4,1,3,1,1,1,1]=>100011001111=>011100110000=>111100110000 [4,2,1,2,1,1,1]=>100010110111=>011101001000=>111101001000 [4,2,2,1,1,1,1]=>100010101111=>011101010000=>111101010000 [4,3,1,1,1,1,1]=>100010011111=>011101100000=>111101100000 [5,1,2,1,1,1,1]=>100001101111=>011110010000=>111110010000 [5,2,1,1,1,1,1]=>100001011111=>011110100000=>111110100000 [6,1,1,1,1,1,1]=>100000111111=>011111000000=>111111000000 [11]=>10000000000=>01111111111=>11111111111 [2,9]=>10100000000=>01011111111=>11011111111 [1,1,2,3,2,3]=>111010010100=>000101101011=>100101101011 [1,2,2,2,2,3]=>110101010100=>001010101011=>101010101011 [5,1,1,1,1,2]=>10000111110=>01111000001=>11111000001 [1,1,1,1,1,1,1,1,2,1]=>11111111101=>00000000010=>10000000010 [1,1,1,1,1,1,1,1,1,1,1]=>11111111111=>00000000000=>10000000000 [1,1,1,2,1,2,1,1,1]=>11110110111=>00001001000=>10001001000 [1,1,1,2,1,1,1,2,1]=>11110111101=>00001000010=>10001000010 [1,2,1,1,1,2,1,1,1]=>11011110111=>00100001000=>10100001000 [1,1,9]=>11100000000=>00011111111=>10011111111 [1,1,1,1,1,1,1,1,3]=>11111111100=>00000000011=>10000000011 [2,2,2,6]=>101010100000=>010101011111=>110101011111 [2,2,6,2]=>101010000010=>010101111101=>110101111101 [1,3,7]=>11001000000=>00110111111=>10110111111 [1,2,1,2,1,1,1,1,1,1]=>110110111111=>001001000000=>101001000000 [1,2,1,1,1,1,1,2,1,1]=>110111111011=>001000000100=>101000000100 [1,1,1,1,1,2,1,2,1,1]=>111111011011=>000000100100=>100000100100 [1,2,2,2,4,1]=>110101010001=>001010101110=>101010101110 [1,1,2,1,1,1,2,1,1]=>11101111011=>00010000100=>10010000100 [1,1,2,2,2,2,1]=>11101010101=>00010101010=>10010101010 [1,1,2,2,2,1,1,1]=>11101010111=>00010101000=>10010101000 [1,1,2,2,1,2,1,1]=>11101011011=>00010100100=>10010100100 [1,1,2,1,2,2,1,1]=>11101101011=>00010010100=>10010010100 [1,1,2,2,2,4]=>111010101000=>000101010111=>100101010111