=>

[1]=>1=>0 [1,1]=>11=>01 [2]=>10=>00 [1,1,1]=>111=>011 [1,2]=>110=>010 [2,1]=>101=>001 [3]=>100=>000 [1,1,1,1]=>1111=>0111 [1,1,2]=>1110=>0110 [1,2,1]=>1101=>0101 [1,3]=>1100=>0100 [2,1,1]=>1011=>0011 [2,2]=>1010=>0010 [3,1]=>1001=>0001 [4]=>1000=>0000 [1,1,1,1,1]=>11111=>01111 [1,1,1,2]=>11110=>01110 [1,1,2,1]=>11101=>01101 [1,1,3]=>11100=>01100 [1,2,1,1]=>11011=>01011 [1,2,2]=>11010=>01010 [1,3,1]=>11001=>01001 [1,4]=>11000=>01000 [2,1,1,1]=>10111=>00111 [2,1,2]=>10110=>00110 [2,2,1]=>10101=>00101 [2,3]=>10100=>00100 [3,1,1]=>10011=>00011 [3,2]=>10010=>00010 [4,1]=>10001=>00001 [5]=>10000=>00000 [1,1,1,1,1,1]=>111111=>011111 [1,1,1,1,2]=>111110=>011110 [1,1,1,2,1]=>111101=>011101 [1,1,1,3]=>111100=>011100 [1,1,2,1,1]=>111011=>011011 [1,1,2,2]=>111010=>011010 [1,1,3,1]=>111001=>011001 [1,1,4]=>111000=>011000 [1,2,1,1,1]=>110111=>010111 [1,2,1,2]=>110110=>010110 [1,2,2,1]=>110101=>010101 [1,2,3]=>110100=>010100 [1,3,1,1]=>110011=>010011 [1,3,2]=>110010=>010010 [1,4,1]=>110001=>010001 [1,5]=>110000=>010000 [2,1,1,1,1]=>101111=>001111 [2,1,1,2]=>101110=>001110 [2,1,2,1]=>101101=>001101 [2,1,3]=>101100=>001100 [2,2,1,1]=>101011=>001011 [2,2,2]=>101010=>001010 [2,3,1]=>101001=>001001 [2,4]=>101000=>001000 [3,1,1,1]=>100111=>000111 [3,1,2]=>100110=>000110 [3,2,1]=>100101=>000101 [3,3]=>100100=>000100 [4,1,1]=>100011=>000011 [4,2]=>100010=>000010 [5,1]=>100001=>000001 [6]=>100000=>000000 [1,1,1,1,1,1,1]=>1111111=>0111111 [1,1,1,1,1,2]=>1111110=>0111110 [1,1,1,1,2,1]=>1111101=>0111101 [1,1,1,1,3]=>1111100=>0111100 [1,1,1,2,1,1]=>1111011=>0111011 [1,1,1,2,2]=>1111010=>0111010 [1,1,1,3,1]=>1111001=>0111001 [1,1,1,4]=>1111000=>0111000 [1,1,2,1,1,1]=>1110111=>0110111 [1,1,2,1,2]=>1110110=>0110110 [1,1,2,2,1]=>1110101=>0110101 [1,1,2,3]=>1110100=>0110100 [1,1,3,1,1]=>1110011=>0110011 [1,1,3,2]=>1110010=>0110010 [1,1,4,1]=>1110001=>0110001 [1,1,5]=>1110000=>0110000 [1,2,1,1,1,1]=>1101111=>0101111 [1,2,1,1,2]=>1101110=>0101110 [1,2,1,2,1]=>1101101=>0101101 [1,2,1,3]=>1101100=>0101100 [1,2,2,1,1]=>1101011=>0101011 [1,2,2,2]=>1101010=>0101010 [1,2,3,1]=>1101001=>0101001 [1,2,4]=>1101000=>0101000 [1,3,1,1,1]=>1100111=>0100111 [1,3,1,2]=>1100110=>0100110 [1,3,2,1]=>1100101=>0100101 [1,3,3]=>1100100=>0100100 [1,4,1,1]=>1100011=>0100011 [1,4,2]=>1100010=>0100010 [1,5,1]=>1100001=>0100001 [1,6]=>1100000=>0100000 [2,1,1,1,1,1]=>1011111=>0011111 [2,1,1,1,2]=>1011110=>0011110 [2,1,1,2,1]=>1011101=>0011101 [2,1,1,3]=>1011100=>0011100 [2,1,2,1,1]=>1011011=>0011011 [2,1,2,2]=>1011010=>0011010 [2,1,3,1]=>1011001=>0011001 [2,1,4]=>1011000=>0011000 [2,2,1,1,1]=>1010111=>0010111 [2,2,1,2]=>1010110=>0010110 [2,2,2,1]=>1010101=>0010101 [2,2,3]=>1010100=>0010100 [2,3,1,1]=>1010011=>0010011 [2,3,2]=>1010010=>0010010 [2,4,1]=>1010001=>0010001 [2,5]=>1010000=>0010000 [3,1,1,1,1]=>1001111=>0001111 [3,1,1,2]=>1001110=>0001110 [3,1,2,1]=>1001101=>0001101 [3,1,3]=>1001100=>0001100 [3,2,1,1]=>1001011=>0001011 [3,2,2]=>1001010=>0001010 [3,3,1]=>1001001=>0001001 [3,4]=>1001000=>0001000 [4,1,1,1]=>1000111=>0000111 [4,1,2]=>1000110=>0000110 [4,2,1]=>1000101=>0000101 [4,3]=>1000100=>0000100 [5,1,1]=>1000011=>0000011 [5,2]=>1000010=>0000010 [6,1]=>1000001=>0000001 [7]=>1000000=>0000000 [1,1,1,1,1,1,1,1]=>11111111=>01111111 [1,1,1,1,1,1,2]=>11111110=>01111110 [1,1,1,1,1,2,1]=>11111101=>01111101 [1,1,1,1,1,3]=>11111100=>01111100 [1,1,1,1,2,1,1]=>11111011=>01111011 [1,1,1,1,2,2]=>11111010=>01111010 [1,1,1,1,3,1]=>11111001=>01111001 [1,1,1,1,4]=>11111000=>01111000 [1,1,1,2,1,1,1]=>11110111=>01110111 [1,1,1,2,1,2]=>11110110=>01110110 [1,1,1,2,2,1]=>11110101=>01110101 [1,1,1,2,3]=>11110100=>01110100 [1,1,1,3,1,1]=>11110011=>01110011 [1,1,1,3,2]=>11110010=>01110010 [1,1,1,4,1]=>11110001=>01110001 [1,1,1,5]=>11110000=>01110000 [1,1,2,1,1,1,1]=>11101111=>01101111 [1,1,2,1,1,2]=>11101110=>01101110 [1,1,2,1,2,1]=>11101101=>01101101 [1,1,2,1,3]=>11101100=>01101100 [1,1,2,2,1,1]=>11101011=>01101011 [1,1,2,2,2]=>11101010=>01101010 [1,1,2,3,1]=>11101001=>01101001 [1,1,2,4]=>11101000=>01101000 [1,1,3,1,1,1]=>11100111=>01100111 [1,1,3,1,2]=>11100110=>01100110 [1,1,3,2,1]=>11100101=>01100101 [1,1,3,3]=>11100100=>01100100 [1,1,4,1,1]=>11100011=>01100011 [1,1,4,2]=>11100010=>01100010 [1,1,5,1]=>11100001=>01100001 [1,1,6]=>11100000=>01100000 [1,2,1,1,1,1,1]=>11011111=>01011111 [1,2,1,1,1,2]=>11011110=>01011110 [1,2,1,1,2,1]=>11011101=>01011101 [1,2,1,1,3]=>11011100=>01011100 [1,2,1,2,1,1]=>11011011=>01011011 [1,2,1,2,2]=>11011010=>01011010 [1,2,1,3,1]=>11011001=>01011001 [1,2,1,4]=>11011000=>01011000 [1,2,2,1,1,1]=>11010111=>01010111 [1,2,2,1,2]=>11010110=>01010110 [1,2,2,2,1]=>11010101=>01010101 [1,2,2,3]=>11010100=>01010100 [1,2,3,1,1]=>11010011=>01010011 [1,2,3,2]=>11010010=>01010010 [1,2,4,1]=>11010001=>01010001 [1,2,5]=>11010000=>01010000 [1,3,1,1,1,1]=>11001111=>01001111 [1,3,1,1,2]=>11001110=>01001110 [1,3,1,2,1]=>11001101=>01001101 [1,3,1,3]=>11001100=>01001100 [1,3,2,1,1]=>11001011=>01001011 [1,3,2,2]=>11001010=>01001010 [1,3,3,1]=>11001001=>01001001 [1,3,4]=>11001000=>01001000 [1,4,1,1,1]=>11000111=>01000111 [1,4,1,2]=>11000110=>01000110 [1,4,2,1]=>11000101=>01000101 [1,4,3]=>11000100=>01000100 [1,5,1,1]=>11000011=>01000011 [1,5,2]=>11000010=>01000010 [1,6,1]=>11000001=>01000001 [1,7]=>11000000=>01000000 [2,1,1,1,1,1,1]=>10111111=>00111111 [2,1,1,1,1,2]=>10111110=>00111110 [2,1,1,1,2,1]=>10111101=>00111101 [2,1,1,1,3]=>10111100=>00111100 [2,1,1,2,1,1]=>10111011=>00111011 [2,1,1,2,2]=>10111010=>00111010 [2,1,1,3,1]=>10111001=>00111001 [2,1,1,4]=>10111000=>00111000 [2,1,2,1,1,1]=>10110111=>00110111 [2,1,2,1,2]=>10110110=>00110110 [2,1,2,2,1]=>10110101=>00110101 [2,1,2,3]=>10110100=>00110100 [2,1,3,1,1]=>10110011=>00110011 [2,1,3,2]=>10110010=>00110010 [2,1,4,1]=>10110001=>00110001 [2,1,5]=>10110000=>00110000 [2,2,1,1,1,1]=>10101111=>00101111 [2,2,1,1,2]=>10101110=>00101110 [2,2,1,2,1]=>10101101=>00101101 [2,2,1,3]=>10101100=>00101100 [2,2,2,1,1]=>10101011=>00101011 [2,2,2,2]=>10101010=>00101010 [2,2,3,1]=>10101001=>00101001 [2,2,4]=>10101000=>00101000 [2,3,1,1,1]=>10100111=>00100111 [2,3,1,2]=>10100110=>00100110 [2,3,2,1]=>10100101=>00100101 [2,3,3]=>10100100=>00100100 [2,4,1,1]=>10100011=>00100011 [2,4,2]=>10100010=>00100010 [2,5,1]=>10100001=>00100001 [2,6]=>10100000=>00100000 [3,1,1,1,1,1]=>10011111=>00011111 [3,1,1,1,2]=>10011110=>00011110 [3,1,1,2,1]=>10011101=>00011101 [3,1,1,3]=>10011100=>00011100 [3,1,2,1,1]=>10011011=>00011011 [3,1,2,2]=>10011010=>00011010 [3,1,3,1]=>10011001=>00011001 [3,1,4]=>10011000=>00011000 [3,2,1,1,1]=>10010111=>00010111 [3,2,1,2]=>10010110=>00010110 [3,2,2,1]=>10010101=>00010101 [3,2,3]=>10010100=>00010100 [3,3,1,1]=>10010011=>00010011 [3,3,2]=>10010010=>00010010 [3,4,1]=>10010001=>00010001 [3,5]=>10010000=>00010000 [4,1,1,1,1]=>10001111=>00001111 [4,1,1,2]=>10001110=>00001110 [4,1,2,1]=>10001101=>00001101 [4,1,3]=>10001100=>00001100 [4,2,1,1]=>10001011=>00001011 [4,2,2]=>10001010=>00001010 [4,3,1]=>10001001=>00001001 [4,4]=>10001000=>00001000 [5,1,1,1]=>10000111=>00000111 [5,1,2]=>10000110=>00000110 [5,2,1]=>10000101=>00000101 [5,3]=>10000100=>00000100 [6,1,1]=>10000011=>00000011 [6,2]=>10000010=>00000010 [7,1]=>10000001=>00000001 [8]=>10000000=>00000000 [1,1,1,1,1,1,1,1,1]=>111111111=>011111111 [1,1,1,1,1,1,1,2]=>111111110=>011111110 [1,1,1,1,1,1,2,1]=>111111101=>011111101 [1,1,1,1,1,1,3]=>111111100=>011111100 [1,1,1,1,1,2,1,1]=>111111011=>011111011 [1,1,1,1,1,2,2]=>111111010=>011111010 [1,1,1,1,1,3,1]=>111111001=>011111001 [1,1,1,1,1,4]=>111111000=>011111000 [1,1,1,1,2,1,1,1]=>111110111=>011110111 [1,1,1,1,2,1,2]=>111110110=>011110110 [1,1,1,1,2,2,1]=>111110101=>011110101 [1,1,1,1,2,3]=>111110100=>011110100 [1,1,1,1,3,1,1]=>111110011=>011110011 [1,1,1,1,3,2]=>111110010=>011110010 [1,1,1,1,4,1]=>111110001=>011110001 [1,1,1,1,5]=>111110000=>011110000 [1,1,1,2,1,1,1,1]=>111101111=>011101111 [1,1,1,2,1,1,2]=>111101110=>011101110 [1,1,1,2,1,2,1]=>111101101=>011101101 [1,1,1,2,1,3]=>111101100=>011101100 [1,1,1,2,2,1,1]=>111101011=>011101011 [1,1,1,2,2,2]=>111101010=>011101010 [1,1,1,2,3,1]=>111101001=>011101001 [1,1,1,2,4]=>111101000=>011101000 [1,1,1,3,1,1,1]=>111100111=>011100111 [1,1,1,3,1,2]=>111100110=>011100110 [1,1,1,3,2,1]=>111100101=>011100101 [1,1,1,3,3]=>111100100=>011100100 [1,1,1,4,1,1]=>111100011=>011100011 [1,1,1,4,2]=>111100010=>011100010 [1,1,1,5,1]=>111100001=>011100001 [1,1,1,6]=>111100000=>011100000 [1,1,2,1,1,1,1,1]=>111011111=>011011111 [1,1,2,1,1,1,2]=>111011110=>011011110 [1,1,2,1,1,2,1]=>111011101=>011011101 [1,1,2,1,1,3]=>111011100=>011011100 [1,1,2,1,2,1,1]=>111011011=>011011011 [1,1,2,1,2,2]=>111011010=>011011010 [1,1,2,1,3,1]=>111011001=>011011001 [1,1,2,1,4]=>111011000=>011011000 [1,1,2,2,1,1,1]=>111010111=>011010111 [1,1,2,2,1,2]=>111010110=>011010110 [1,1,2,2,2,1]=>111010101=>011010101 [1,1,2,2,3]=>111010100=>011010100 [1,1,2,3,1,1]=>111010011=>011010011 [1,1,2,3,2]=>111010010=>011010010 [1,1,2,4,1]=>111010001=>011010001 [1,1,2,5]=>111010000=>011010000 [1,1,3,1,1,1,1]=>111001111=>011001111 [1,1,3,1,1,2]=>111001110=>011001110 [1,1,3,1,2,1]=>111001101=>011001101 [1,1,3,1,3]=>111001100=>011001100 [1,1,3,2,1,1]=>111001011=>011001011 [1,1,3,2,2]=>111001010=>011001010 [1,1,3,3,1]=>111001001=>011001001 [1,1,3,4]=>111001000=>011001000 [1,1,4,1,1,1]=>111000111=>011000111 [1,1,4,1,2]=>111000110=>011000110 [1,1,4,2,1]=>111000101=>011000101 [1,1,4,3]=>111000100=>011000100 [1,1,5,1,1]=>111000011=>011000011 [1,1,5,2]=>111000010=>011000010 [1,1,6,1]=>111000001=>011000001 [1,1,7]=>111000000=>011000000 [1,2,1,1,1,1,1,1]=>110111111=>010111111 [1,2,1,1,1,1,2]=>110111110=>010111110 [1,2,1,1,1,2,1]=>110111101=>010111101 [1,2,1,1,1,3]=>110111100=>010111100 [1,2,1,1,2,1,1]=>110111011=>010111011 [1,2,1,1,2,2]=>110111010=>010111010 [1,2,1,1,3,1]=>110111001=>010111001 [1,2,1,1,4]=>110111000=>010111000 [1,2,1,2,1,1,1]=>110110111=>010110111 [1,2,1,2,1,2]=>110110110=>010110110 [1,2,1,2,2,1]=>110110101=>010110101 [1,2,1,2,3]=>110110100=>010110100 [1,2,1,3,1,1]=>110110011=>010110011 [1,2,1,3,2]=>110110010=>010110010 [1,2,1,4,1]=>110110001=>010110001 [1,2,1,5]=>110110000=>010110000 [1,2,2,1,1,1,1]=>110101111=>010101111 [1,2,2,1,1,2]=>110101110=>010101110 [1,2,2,1,2,1]=>110101101=>010101101 [1,2,2,1,3]=>110101100=>010101100 [1,2,2,2,1,1]=>110101011=>010101011 [1,2,2,2,2]=>110101010=>010101010 [1,2,2,3,1]=>110101001=>010101001 [1,2,2,4]=>110101000=>010101000 [1,2,3,1,1,1]=>110100111=>010100111 [1,2,3,1,2]=>110100110=>010100110 [1,2,3,2,1]=>110100101=>010100101 [1,2,3,3]=>110100100=>010100100 [1,2,4,1,1]=>110100011=>010100011 [1,2,4,2]=>110100010=>010100010 [1,2,5,1]=>110100001=>010100001 [1,2,6]=>110100000=>010100000 [1,3,1,1,1,1,1]=>110011111=>010011111 [1,3,1,1,1,2]=>110011110=>010011110 [1,3,1,1,2,1]=>110011101=>010011101 [1,3,1,1,3]=>110011100=>010011100 [1,3,1,2,1,1]=>110011011=>010011011 [1,3,1,2,2]=>110011010=>010011010 [1,3,1,3,1]=>110011001=>010011001 [1,3,1,4]=>110011000=>010011000 [1,3,2,1,1,1]=>110010111=>010010111 [1,3,2,1,2]=>110010110=>010010110 [1,3,2,2,1]=>110010101=>010010101 [1,3,2,3]=>110010100=>010010100 [1,3,3,1,1]=>110010011=>010010011 [1,3,3,2]=>110010010=>010010010 [1,3,4,1]=>110010001=>010010001 [1,3,5]=>110010000=>010010000 [1,4,1,1,1,1]=>110001111=>010001111 [1,4,1,1,2]=>110001110=>010001110 [1,4,1,2,1]=>110001101=>010001101 [1,4,1,3]=>110001100=>010001100 [1,4,2,1,1]=>110001011=>010001011 [1,4,2,2]=>110001010=>010001010 [1,4,3,1]=>110001001=>010001001 [1,4,4]=>110001000=>010001000 [1,5,1,1,1]=>110000111=>010000111 [1,5,1,2]=>110000110=>010000110 [1,5,2,1]=>110000101=>010000101 [1,5,3]=>110000100=>010000100 [1,6,1,1]=>110000011=>010000011 [1,6,2]=>110000010=>010000010 [1,7,1]=>110000001=>010000001 [1,8]=>110000000=>010000000 [2,1,1,1,1,1,1,1]=>101111111=>001111111 [2,1,1,1,1,1,2]=>101111110=>001111110 [2,1,1,1,1,2,1]=>101111101=>001111101 [2,1,1,1,1,3]=>101111100=>001111100 [2,1,1,1,2,1,1]=>101111011=>001111011 [2,1,1,1,2,2]=>101111010=>001111010 [2,1,1,1,3,1]=>101111001=>001111001 [2,1,1,1,4]=>101111000=>001111000 [2,1,1,2,1,1,1]=>101110111=>001110111 [2,1,1,2,1,2]=>101110110=>001110110 [2,1,1,2,2,1]=>101110101=>001110101 [2,1,1,2,3]=>101110100=>001110100 [2,1,1,3,1,1]=>101110011=>001110011 [2,1,1,3,2]=>101110010=>001110010 [2,1,1,4,1]=>101110001=>001110001 [2,1,1,5]=>101110000=>001110000 [2,1,2,1,1,1,1]=>101101111=>001101111 [2,1,2,1,1,2]=>101101110=>001101110 [2,1,2,1,2,1]=>101101101=>001101101 [2,1,2,1,3]=>101101100=>001101100 [2,1,2,2,1,1]=>101101011=>001101011 [2,1,2,2,2]=>101101010=>001101010 [2,1,2,3,1]=>101101001=>001101001 [2,1,2,4]=>101101000=>001101000 [2,1,3,1,1,1]=>101100111=>001100111 [2,1,3,1,2]=>101100110=>001100110 [2,1,3,2,1]=>101100101=>001100101 [2,1,3,3]=>101100100=>001100100 [2,1,4,1,1]=>101100011=>001100011 [2,1,4,2]=>101100010=>001100010 [2,1,5,1]=>101100001=>001100001 [2,1,6]=>101100000=>001100000 [2,2,1,1,1,1,1]=>101011111=>001011111 [2,2,1,1,1,2]=>101011110=>001011110 [2,2,1,1,2,1]=>101011101=>001011101 [2,2,1,1,3]=>101011100=>001011100 [2,2,1,2,1,1]=>101011011=>001011011 [2,2,1,2,2]=>101011010=>001011010 [2,2,1,3,1]=>101011001=>001011001 [2,2,1,4]=>101011000=>001011000 [2,2,2,1,1,1]=>101010111=>001010111 [2,2,2,1,2]=>101010110=>001010110 [2,2,2,2,1]=>101010101=>001010101 [2,2,2,3]=>101010100=>001010100 [2,2,3,1,1]=>101010011=>001010011 [2,2,3,2]=>101010010=>001010010 [2,2,4,1]=>101010001=>001010001 [2,2,5]=>101010000=>001010000 [2,3,1,1,1,1]=>101001111=>001001111 [2,3,1,1,2]=>101001110=>001001110 [2,3,1,2,1]=>101001101=>001001101 [2,3,1,3]=>101001100=>001001100 [2,3,2,1,1]=>101001011=>001001011 [2,3,2,2]=>101001010=>001001010 [2,3,3,1]=>101001001=>001001001 [2,3,4]=>101001000=>001001000 [2,4,1,1,1]=>101000111=>001000111 [2,4,1,2]=>101000110=>001000110 [2,4,2,1]=>101000101=>001000101 [2,4,3]=>101000100=>001000100 [2,5,1,1]=>101000011=>001000011 [2,5,2]=>101000010=>001000010 [2,6,1]=>101000001=>001000001 [2,7]=>101000000=>001000000 [3,1,1,1,1,1,1]=>100111111=>000111111 [3,1,1,1,1,2]=>100111110=>000111110 [3,1,1,1,2,1]=>100111101=>000111101 [3,1,1,1,3]=>100111100=>000111100 [3,1,1,2,1,1]=>100111011=>000111011 [3,1,1,2,2]=>100111010=>000111010 [3,1,1,3,1]=>100111001=>000111001 [3,1,1,4]=>100111000=>000111000 [3,1,2,1,1,1]=>100110111=>000110111 [3,1,2,1,2]=>100110110=>000110110 [3,1,2,2,1]=>100110101=>000110101 [3,1,2,3]=>100110100=>000110100 [3,1,3,1,1]=>100110011=>000110011 [3,1,3,2]=>100110010=>000110010 [3,1,4,1]=>100110001=>000110001 [3,1,5]=>100110000=>000110000 [3,2,1,1,1,1]=>100101111=>000101111 [3,2,1,1,2]=>100101110=>000101110 [3,2,1,2,1]=>100101101=>000101101 [3,2,1,3]=>100101100=>000101100 [3,2,2,1,1]=>100101011=>000101011 [3,2,2,2]=>100101010=>000101010 [3,2,3,1]=>100101001=>000101001 [3,2,4]=>100101000=>000101000 [3,3,1,1,1]=>100100111=>000100111 [3,3,1,2]=>100100110=>000100110 [3,3,2,1]=>100100101=>000100101 [3,3,3]=>100100100=>000100100 [3,4,1,1]=>100100011=>000100011 [3,4,2]=>100100010=>000100010 [3,5,1]=>100100001=>000100001 [3,6]=>100100000=>000100000 [4,1,1,1,1,1]=>100011111=>000011111 [4,1,1,1,2]=>100011110=>000011110 [4,1,1,2,1]=>100011101=>000011101 [4,1,1,3]=>100011100=>000011100 [4,1,2,1,1]=>100011011=>000011011 [4,1,2,2]=>100011010=>000011010 [4,1,3,1]=>100011001=>000011001 [4,1,4]=>100011000=>000011000 [4,2,1,1,1]=>100010111=>000010111 [4,2,1,2]=>100010110=>000010110 [4,2,2,1]=>100010101=>000010101 [4,2,3]=>100010100=>000010100 [4,3,1,1]=>100010011=>000010011 [4,3,2]=>100010010=>000010010 [4,4,1]=>100010001=>000010001 [4,5]=>100010000=>000010000 [5,1,1,1,1]=>100001111=>000001111 [5,1,1,2]=>100001110=>000001110 [5,1,2,1]=>100001101=>000001101 [5,1,3]=>100001100=>000001100 [5,2,1,1]=>100001011=>000001011 [5,2,2]=>100001010=>000001010 [5,3,1]=>100001001=>000001001 [5,4]=>100001000=>000001000 [6,1,1,1]=>100000111=>000000111 [6,1,2]=>100000110=>000000110 [6,2,1]=>100000101=>000000101 [6,3]=>100000100=>000000100 [7,1,1]=>100000011=>000000011 [7,2]=>100000010=>000000010 [8,1]=>100000001=>000000001 [9]=>100000000=>000000000 [1,1,1,1,1,1,1,1,1,1]=>1111111111=>0111111111 [1,1,1,1,1,1,1,1,2]=>1111111110=>0111111110 [1,1,1,1,1,1,1,2,1]=>1111111101=>0111111101 [1,1,1,1,1,1,1,3]=>1111111100=>0111111100 [1,1,1,1,1,1,2,2]=>1111111010=>0111111010 [1,1,1,1,1,1,3,1]=>1111111001=>0111111001 [1,1,1,1,1,2,1,2]=>1111110110=>0111110110 [1,1,1,1,1,2,2,1]=>1111110101=>0111110101 [1,1,1,1,1,3,1,1]=>1111110011=>0111110011 [1,1,1,1,1,3,2]=>1111110010=>0111110010 [1,1,1,1,1,5]=>1111110000=>0111110000 [1,1,1,1,2,1,1,2]=>1111101110=>0111101110 [1,1,1,1,2,1,2,1]=>1111101101=>0111101101 [1,1,1,1,2,2,1,1]=>1111101011=>0111101011 [1,1,1,1,2,2,2]=>1111101010=>0111101010 [1,1,1,1,2,4]=>1111101000=>0111101000 [1,1,1,1,3,1,1,1]=>1111100111=>0111100111 [1,1,1,1,3,3]=>1111100100=>0111100100 [1,1,1,1,4,1,1]=>1111100011=>0111100011 [1,1,1,1,4,2]=>1111100010=>0111100010 [1,1,1,1,5,1]=>1111100001=>0111100001 [1,1,1,1,6]=>1111100000=>0111100000 [1,1,1,2,1,1,1,2]=>1111011110=>0111011110 [1,1,1,2,1,1,2,1]=>1111011101=>0111011101 [1,1,1,2,1,2,1,1]=>1111011011=>0111011011 [1,1,1,2,1,4]=>1111011000=>0111011000 [1,1,1,2,2,1,1,1]=>1111010111=>0111010111 [1,1,1,2,2,2,1]=>1111010101=>0111010101 [1,1,1,2,2,3]=>1111010100=>0111010100 [1,1,1,2,3,1,1]=>1111010011=>0111010011 [1,1,1,2,3,2]=>1111010010=>0111010010 [1,1,1,2,4,1]=>1111010001=>0111010001 [1,1,1,2,5]=>1111010000=>0111010000 [1,1,1,3,1,1,1,1]=>1111001111=>0111001111 [1,1,1,3,1,1,2]=>1111001110=>0111001110 [1,1,1,3,1,3]=>1111001100=>0111001100 [1,1,1,3,2,1,1]=>1111001011=>0111001011 [1,1,1,3,2,2]=>1111001010=>0111001010 [1,1,1,3,3,1]=>1111001001=>0111001001 [1,1,1,3,4]=>1111001000=>0111001000 [1,1,1,4,1,1,1]=>1111000111=>0111000111 [1,1,1,4,1,2]=>1111000110=>0111000110 [1,1,1,4,2,1]=>1111000101=>0111000101 [1,1,1,4,3]=>1111000100=>0111000100 [1,1,1,5,1,1]=>1111000011=>0111000011 [1,1,1,5,2]=>1111000010=>0111000010 [1,1,1,6,1]=>1111000001=>0111000001 [1,1,1,7]=>1111000000=>0111000000 [1,1,2,1,1,1,1,1,1]=>1110111111=>0110111111 [1,1,2,1,1,1,1,2]=>1110111110=>0110111110 [1,1,2,1,1,1,2,1]=>1110111101=>0110111101 [1,1,2,1,1,1,3]=>1110111100=>0110111100 [1,1,2,1,1,2,1,1]=>1110111011=>0110111011 [1,1,2,1,1,4]=>1110111000=>0110111000 [1,1,2,1,2,1,1,1]=>1110110111=>0110110111 [1,1,2,1,2,2,1]=>1110110101=>0110110101 [1,1,2,1,2,3]=>1110110100=>0110110100 [1,1,2,1,3,2]=>1110110010=>0110110010 [1,1,2,1,4,1]=>1110110001=>0110110001 [1,1,2,1,5]=>1110110000=>0110110000 [1,1,2,2,1,1,1,1]=>1110101111=>0110101111 [1,1,2,2,1,2,1]=>1110101101=>0110101101 [1,1,2,2,1,3]=>1110101100=>0110101100 [1,1,2,2,2,1,1]=>1110101011=>0110101011 [1,1,2,2,2,2]=>1110101010=>0110101010 [1,1,2,2,3,1]=>1110101001=>0110101001 [1,1,2,2,4]=>1110101000=>0110101000 [1,1,2,3,2,1]=>1110100101=>0110100101 [1,1,2,3,3]=>1110100100=>0110100100 [1,1,2,4,1,1]=>1110100011=>0110100011 [1,1,2,4,2]=>1110100010=>0110100010 [1,1,2,5,1]=>1110100001=>0110100001 [1,1,3,1,1,1,1,1]=>1110011111=>0110011111 [1,1,3,1,1,1,2]=>1110011110=>0110011110 [1,1,3,1,1,3]=>1110011100=>0110011100 [1,1,3,1,3,1]=>1110011001=>0110011001 [1,1,3,1,4]=>1110011000=>0110011000 [1,1,3,2,1,2]=>1110010110=>0110010110 [1,1,3,2,2,1]=>1110010101=>0110010101 [1,1,3,2,3]=>1110010100=>0110010100 [1,1,3,3,1,1]=>1110010011=>0110010011 [1,1,3,3,2]=>1110010010=>0110010010 [1,1,3,4,1]=>1110010001=>0110010001 [1,1,3,5]=>1110010000=>0110010000 [1,1,4,1,2,1]=>1110001101=>0110001101 [1,1,4,1,3]=>1110001100=>0110001100 [1,1,4,2,1,1]=>1110001011=>0110001011 [1,1,4,2,2]=>1110001010=>0110001010 [1,1,4,3,1]=>1110001001=>0110001001 [1,1,5,1,1,1]=>1110000111=>0110000111 [1,1,5,1,2]=>1110000110=>0110000110 [1,1,5,2,1]=>1110000101=>0110000101 [1,1,5,3]=>1110000100=>0110000100 [1,1,6,1,1]=>1110000011=>0110000011 [1,1,6,2]=>1110000010=>0110000010 [1,1,7,1]=>1110000001=>0110000001 [1,2,1,1,1,1,1,1,1]=>1101111111=>0101111111 [1,2,1,1,1,1,1,2]=>1101111110=>0101111110 [1,2,1,1,1,1,2,1]=>1101111101=>0101111101 [1,2,1,1,1,2,1,1]=>1101111011=>0101111011 [1,2,1,1,1,3,1]=>1101111001=>0101111001 [1,2,1,1,1,4]=>1101111000=>0101111000 [1,2,1,1,2,1,1,1]=>1101110111=>0101110111 [1,2,1,1,3,2]=>1101110010=>0101110010 [1,2,1,1,4,1]=>1101110001=>0101110001 [1,2,1,1,5]=>1101110000=>0101110000 [1,2,1,2,1,1,1,1]=>1101101111=>0101101111 [1,2,1,2,1,3]=>1101101100=>0101101100 [1,2,1,2,2,1,1]=>1101101011=>0101101011 [1,2,1,2,3,1]=>1101101001=>0101101001 [1,2,1,2,4]=>1101101000=>0101101000 [1,2,1,3,1,2]=>1101100110=>0101100110 [1,2,1,3,2,1]=>1101100101=>0101100101 [1,2,1,3,3]=>1101100100=>0101100100 [1,2,1,4,1,1]=>1101100011=>0101100011 [1,2,1,4,2]=>1101100010=>0101100010 [1,2,1,5,1]=>1101100001=>0101100001 [1,2,1,6]=>1101100000=>0101100000 [1,2,2,1,1,1,1,1]=>1101011111=>0101011111 [1,2,2,1,2,1,1]=>1101011011=>0101011011 [1,2,2,1,2,2]=>1101011010=>0101011010 [1,2,2,1,3,1]=>1101011001=>0101011001 [1,2,2,1,4]=>1101011000=>0101011000 [1,2,2,2,1,1,1]=>1101010111=>0101010111 [1,2,2,2,2,1]=>1101010101=>0101010101 [1,2,2,2,3]=>1101010100=>0101010100 [1,2,2,3,1,1]=>1101010011=>0101010011 [1,2,2,3,2]=>1101010010=>0101010010 [1,2,2,4,1]=>1101010001=>0101010001 [1,2,3,1,1,1,1]=>1101001111=>0101001111 [1,2,3,1,1,2]=>1101001110=>0101001110 [1,2,3,1,2,1]=>1101001101=>0101001101 [1,2,3,1,3]=>1101001100=>0101001100 [1,2,3,2,1,1]=>1101001011=>0101001011 [1,2,3,2,2]=>1101001010=>0101001010 [1,2,3,3,1]=>1101001001=>0101001001 [1,2,3,4]=>1101001000=>0101001000 [1,2,4,1,1,1]=>1101000111=>0101000111 [1,2,4,1,2]=>1101000110=>0101000110 [1,2,4,2,1]=>1101000101=>0101000101 [1,2,5,1,1]=>1101000011=>0101000011 [1,2,5,2]=>1101000010=>0101000010 [1,3,1,1,1,1,1,1]=>1100111111=>0100111111 [1,3,1,1,1,3]=>1100111100=>0100111100 [1,3,1,1,3,1]=>1100111001=>0100111001 [1,3,1,1,4]=>1100111000=>0100111000 [1,3,1,2,1,2]=>1100110110=>0100110110 [1,3,1,2,2,1]=>1100110101=>0100110101 [1,3,1,2,3]=>1100110100=>0100110100 [1,3,1,3,1,1]=>1100110011=>0100110011 [1,3,1,3,2]=>1100110010=>0100110010 [1,3,1,4,1]=>1100110001=>0100110001 [1,3,1,5]=>1100110000=>0100110000 [1,3,2,1,1,2]=>1100101110=>0100101110 [1,3,2,1,2,1]=>1100101101=>0100101101 [1,3,2,1,3]=>1100101100=>0100101100 [1,3,2,2,1,1]=>1100101011=>0100101011 [1,3,2,2,2]=>1100101010=>0100101010 [1,3,2,3,1]=>1100101001=>0100101001 [1,3,3,1,2]=>1100100110=>0100100110 [1,3,3,2,1]=>1100100101=>0100100101 [1,3,3,3]=>1100100100=>0100100100 [1,3,4,1,1]=>1100100011=>0100100011 [1,3,5,1]=>1100100001=>0100100001 [1,4,1,1,1,2]=>1100011110=>0100011110 [1,4,1,1,2,1]=>1100011101=>0100011101 [1,4,1,1,3]=>1100011100=>0100011100 [1,4,1,2,1,1]=>1100011011=>0100011011 [1,4,1,3,1]=>1100011001=>0100011001 [1,4,1,4]=>1100011000=>0100011000 [1,4,2,2,1]=>1100010101=>0100010101 [1,4,3,1,1]=>1100010011=>0100010011 [1,4,3,2]=>1100010010=>0100010010 [1,5,1,1,1,1]=>1100001111=>0100001111 [1,5,1,1,2]=>1100001110=>0100001110 [1,5,1,2,1]=>1100001101=>0100001101 [1,5,1,3]=>1100001100=>0100001100 [1,5,2,1,1]=>1100001011=>0100001011 [1,5,2,2]=>1100001010=>0100001010 [1,5,4]=>1100001000=>0100001000 [1,6,1,1,1]=>1100000111=>0100000111 [1,6,1,2]=>1100000110=>0100000110 [1,7,1,1]=>1100000011=>0100000011 [1,7,2]=>1100000010=>0100000010 [1,9]=>1100000000=>0100000000 [2,1,1,1,1,1,1,1,1]=>1011111111=>0011111111 [2,1,1,1,1,1,1,2]=>1011111110=>0011111110 [2,1,1,1,1,1,2,1]=>1011111101=>0011111101 [2,1,1,1,1,1,3]=>1011111100=>0011111100 [2,1,1,1,1,2,1,1]=>1011111011=>0011111011 [2,1,1,1,1,2,2]=>1011111010=>0011111010 [2,1,1,1,1,4]=>1011111000=>0011111000 [2,1,1,1,2,1,1,1]=>1011110111=>0011110111 [2,1,1,1,2,3]=>1011110100=>0011110100 [2,1,1,1,4,1]=>1011110001=>0011110001 [2,1,1,1,5]=>1011110000=>0011110000 [2,1,1,2,2,1,1]=>1011101011=>0011101011 [2,1,1,2,3,1]=>1011101001=>0011101001 [2,1,1,2,4]=>1011101000=>0011101000 [2,1,1,3,2,1]=>1011100101=>0011100101 [2,1,1,3,3]=>1011100100=>0011100100 [2,1,1,4,1,1]=>1011100011=>0011100011 [2,1,1,4,2]=>1011100010=>0011100010 [2,1,1,5,1]=>1011100001=>0011100001 [2,1,1,6]=>1011100000=>0011100000 [2,1,2,1,1,1,1,1]=>1011011111=>0011011111 [2,1,2,1,1,3]=>1011011100=>0011011100 [2,1,2,1,3,1]=>1011011001=>0011011001 [2,1,2,1,4]=>1011011000=>0011011000 [2,1,2,2,1,1,1]=>1011010111=>0011010111 [2,1,2,2,2,1]=>1011010101=>0011010101 [2,1,2,2,3]=>1011010100=>0011010100 [2,1,2,3,1,1]=>1011010011=>0011010011 [2,1,2,3,2]=>1011010010=>0011010010 [2,1,2,4,1]=>1011010001=>0011010001 [2,1,2,5]=>1011010000=>0011010000 [2,1,3,1,2,1]=>1011001101=>0011001101 [2,1,3,1,3]=>1011001100=>0011001100 [2,1,3,2,1,1]=>1011001011=>0011001011 [2,1,3,2,2]=>1011001010=>0011001010 [2,1,3,3,1]=>1011001001=>0011001001 [2,1,3,4]=>1011001000=>0011001000 [2,1,4,1,1,1]=>1011000111=>0011000111 [2,1,4,2,1]=>1011000101=>0011000101 [2,1,4,3]=>1011000100=>0011000100 [2,1,5,1,1]=>1011000011=>0011000011 [2,1,5,2]=>1011000010=>0011000010 [2,1,6,1]=>1011000001=>0011000001 [2,1,7]=>1011000000=>0011000000 [2,2,1,1,1,1,1,1]=>1010111111=>0010111111 [2,2,1,1,1,1,2]=>1010111110=>0010111110 [2,2,1,1,3,1]=>1010111001=>0010111001 [2,2,1,1,4]=>1010111000=>0010111000 [2,2,1,2,1,1,1]=>1010110111=>0010110111 [2,2,1,2,2,1]=>1010110101=>0010110101 [2,2,1,2,3]=>1010110100=>0010110100 [2,2,1,3,1,1]=>1010110011=>0010110011 [2,2,1,3,2]=>1010110010=>0010110010 [2,2,1,4,1]=>1010110001=>0010110001 [2,2,1,5]=>1010110000=>0010110000 [2,2,2,1,1,1,1]=>1010101111=>0010101111 [2,2,2,1,2,1]=>1010101101=>0010101101 [2,2,2,1,3]=>1010101100=>0010101100 [2,2,2,2,1,1]=>1010101011=>0010101011 [2,2,2,2,2]=>1010101010=>0010101010 [2,2,2,3,1]=>1010101001=>0010101001 [2,2,2,4]=>1010101000=>0010101000 [2,2,3,1,1,1]=>1010100111=>0010100111 [2,2,3,1,2]=>1010100110=>0010100110 [2,2,3,2,1]=>1010100101=>0010100101 [2,2,3,3]=>1010100100=>0010100100 [2,2,4,1,1]=>1010100011=>0010100011 [2,2,4,2]=>1010100010=>0010100010 [2,2,6]=>1010100000=>0010100000 [2,3,1,1,2,1]=>1010011101=>0010011101 [2,3,1,2,2]=>1010011010=>0010011010 [2,3,1,3,1]=>1010011001=>0010011001 [2,3,1,4]=>1010011000=>0010011000 [2,3,2,1,1,1]=>1010010111=>0010010111 [2,3,2,1,2]=>1010010110=>0010010110 [2,3,2,2,1]=>1010010101=>0010010101 [2,3,2,3]=>1010010100=>0010010100 [2,3,3,1,1]=>1010010011=>0010010011 [2,3,3,2]=>1010010010=>0010010010 [2,3,4,1]=>1010010001=>0010010001 [2,4,1,1,2]=>1010001110=>0010001110 [2,4,1,2,1]=>1010001101=>0010001101 [2,4,1,3]=>1010001100=>0010001100 [2,4,2,1,1]=>1010001011=>0010001011 [2,4,2,2]=>1010001010=>0010001010 [2,5,1,1,1]=>1010000111=>0010000111 [2,5,2,1]=>1010000101=>0010000101 [2,6,2]=>1010000010=>0010000010 [2,8]=>1010000000=>0010000000 [3,1,1,1,1,1,1,1]=>1001111111=>0001111111 [3,1,1,1,1,1,2]=>1001111110=>0001111110 [3,1,1,1,1,3]=>1001111100=>0001111100 [3,1,1,1,2,1,1]=>1001111011=>0001111011 [3,1,1,1,3,1]=>1001111001=>0001111001 [3,1,1,1,4]=>1001111000=>0001111000 [3,1,1,2,1,2]=>1001110110=>0001110110 [3,1,1,2,2,1]=>1001110101=>0001110101 [3,1,1,2,3]=>1001110100=>0001110100 [3,1,1,3,1,1]=>1001110011=>0001110011 [3,1,1,4,1]=>1001110001=>0001110001 [3,1,1,5]=>1001110000=>0001110000 [3,1,2,1,2,1]=>1001101101=>0001101101 [3,1,2,1,3]=>1001101100=>0001101100 [3,1,2,2,2]=>1001101010=>0001101010 [3,1,2,3,1]=>1001101001=>0001101001 [3,1,2,4]=>1001101000=>0001101000 [3,1,3,1,1,1]=>1001100111=>0001100111 [3,1,3,1,2]=>1001100110=>0001100110 [3,1,3,2,1]=>1001100101=>0001100101 [3,1,3,3]=>1001100100=>0001100100 [3,1,4,1,1]=>1001100011=>0001100011 [3,1,4,2]=>1001100010=>0001100010 [3,1,5,1]=>1001100001=>0001100001 [3,2,1,1,1,1,1]=>1001011111=>0001011111 [3,2,1,1,1,2]=>1001011110=>0001011110 [3,2,1,1,2,1]=>1001011101=>0001011101 [3,2,1,2,2]=>1001011010=>0001011010 [3,2,1,3,1]=>1001011001=>0001011001 [3,2,1,4]=>1001011000=>0001011000 [3,2,2,1,1,1]=>1001010111=>0001010111 [3,2,2,1,2]=>1001010110=>0001010110 [3,2,2,2,1]=>1001010101=>0001010101 [3,2,2,3]=>1001010100=>0001010100 [3,2,3,1,1]=>1001010011=>0001010011 [3,2,3,2]=>1001010010=>0001010010 [3,3,1,1,2]=>1001001110=>0001001110 [3,3,1,2,1]=>1001001101=>0001001101 [3,3,1,3]=>1001001100=>0001001100 [3,3,2,1,1]=>1001001011=>0001001011 [3,3,2,2]=>1001001010=>0001001010 [3,4,1,1,1]=>1001000111=>0001000111 [3,4,1,2]=>1001000110=>0001000110 [3,7]=>1001000000=>0001000000 [4,1,1,1,1,1,1]=>1000111111=>0000111111 [4,1,1,1,1,2]=>1000111110=>0000111110 [4,1,1,1,2,1]=>1000111101=>0000111101 [4,1,1,1,3]=>1000111100=>0000111100 [4,1,1,2,2]=>1000111010=>0000111010 [4,1,1,3,1]=>1000111001=>0000111001 [4,1,1,4]=>1000111000=>0000111000 [4,1,2,1,1,1]=>1000110111=>0000110111 [4,1,2,1,2]=>1000110110=>0000110110 [4,1,2,2,1]=>1000110101=>0000110101 [4,1,2,3]=>1000110100=>0000110100 [4,1,3,1,1]=>1000110011=>0000110011 [4,1,3,2]=>1000110010=>0000110010 [4,1,4,1]=>1000110001=>0000110001 [4,1,5]=>1000110000=>0000110000 [4,2,1,1,1,1]=>1000101111=>0000101111 [4,2,1,1,2]=>1000101110=>0000101110 [4,2,1,2,1]=>1000101101=>0000101101 [4,2,1,3]=>1000101100=>0000101100 [4,2,2,1,1]=>1000101011=>0000101011 [4,2,2,2]=>1000101010=>0000101010 [4,3,1,1,1]=>1000100111=>0000100111 [4,3,2,1]=>1000100101=>0000100101 [4,6]=>1000100000=>0000100000 [5,1,1,1,1,1]=>1000011111=>0000011111 [5,1,1,1,2]=>1000011110=>0000011110 [5,1,1,2,1]=>1000011101=>0000011101 [5,1,1,3]=>1000011100=>0000011100 [5,1,2,1,1]=>1000011011=>0000011011 [5,1,3,1]=>1000011001=>0000011001 [5,1,4]=>1000011000=>0000011000 [5,2,1,1,1]=>1000010111=>0000010111 [5,2,1,2]=>1000010110=>0000010110 [5,2,2,1]=>1000010101=>0000010101 [5,5]=>1000010000=>0000010000 [6,1,1,1,1]=>1000001111=>0000001111 [6,1,1,2]=>1000001110=>0000001110 [6,1,2,1]=>1000001101=>0000001101 [6,2,1,1]=>1000001011=>0000001011 [6,2,2]=>1000001010=>0000001010 [6,3,1]=>1000001001=>0000001001 [6,4]=>1000001000=>0000001000 [7,1,1,1]=>1000000111=>0000000111 [7,1,2]=>1000000110=>0000000110 [7,2,1]=>1000000101=>0000000101 [7,3]=>1000000100=>0000000100 [8,1,1]=>1000000011=>0000000011 [8,2]=>1000000010=>0000000010 [9,1]=>1000000001=>0000000001 [10]=>1000000000=>0000000000 [1,10]=>11000000000=>01000000000 [1,8,1,1]=>11000000011=>01000000011 [10,1]=>10000000001=>00000000001 [1,1,1,1,1,1,1,1,1,1,1,1]=>111111111111=>011111111111 [1,1,1,1,1,1,3,3]=>111111100100=>011111100100 [1,1,1,1,2,1,2,3]=>111110110100=>011110110100 [1,1,1,1,3,1,1,3]=>111110011100=>011110011100 [1,1,1,1,4,4]=>111110001000=>011110001000 [1,1,2,2,3,3]=>111010100100=>011010100100 [1,1,2,1,1,1,2,3]=>111011110100=>011011110100 [1,1,2,1,2,1,1,3]=>111011011100=>011011011100 [1,1,2,1,3,4]=>111011001000=>011011001000 [1,1,3,3,2,2]=>111001001010=>011001001010 [1,1,3,2,2,3]=>111001010100=>011001010100 [1,1,3,1,1,1,1,3]=>111001111100=>011001111100 [1,1,3,1,2,4]=>111001101000=>011001101000 [1,1,4,4,1,1]=>111000100011=>011000100011 [1,1,4,2,1,3]=>111000101100=>011000101100 [1,1,4,1,1,4]=>111000111000=>011000111000 [1,1,5,5]=>111000010000=>011000010000 [2,2,1,1,3,3]=>101011100100=>001011100100 [2,2,2,2,2,2]=>101010101010=>001010101010 [2,2,2,1,2,3]=>101010110100=>001010110100 [2,2,3,3,1,1]=>101010010011=>001010010011 [2,2,3,2,1,2]=>101010010110=>001010010110 [2,1,1,2,3,3]=>101110100100=>001110100100 [2,1,1,1,1,1,2,3]=>101111110100=>001111110100 [2,1,1,1,2,1,1,3]=>101111011100=>001111011100 [2,1,1,1,3,4]=>101111001000=>001111001000 [2,1,2,3,1,1,1,1]=>101101001111=>001101001111 [2,1,2,3,2,2]=>101101001010=>001101001010 [2,1,2,2,2,3]=>101101010100=>001101010100 [2,1,2,1,1,3,1,1]=>101101110011=>001101110011 [2,1,2,1,1,1,1,3]=>101101111100=>001101111100 [2,1,2,1,2,4]=>101101101000=>001101101000 [2,1,3,4,1,1]=>101100100011=>001100100011 [2,1,3,2,1,3]=>101100101100=>001100101100 [2,1,3,1,1,4]=>101100111000=>001100111000 [2,1,4,5]=>101100010000=>001100010000 [3,3,1,1,2,2]=>100100111010=>000100111010 [3,3,2,2,1,1]=>100100101011=>000100101011 [3,3,2,1,1,2]=>100100101110=>000100101110 [3,3,3,3]=>100100100100=>000100100100 [3,2,1,2,1,1,1,1]=>100101101111=>000101101111 [3,2,1,2,2,2]=>100101101010=>000101101010 [3,2,1,1,1,2,1,1]=>100101111011=>000101111011 [3,2,1,1,2,3]=>100101110100=>000101110100 [3,2,2,3,1,1]=>100101010011=>000101010011 [3,2,2,2,1,2]=>100101010110=>000101010110 [3,1,1,2,2,3]=>100111010100=>000111010100 [3,1,1,1,1,1,1,3]=>100111111100=>000111111100 [3,1,1,1,2,4]=>100111101000=>000111101000 [3,1,2,4,1,1]=>100110100011=>000110100011 [3,1,2,3,1,2]=>100110100110=>000110100110 [3,1,3,5]=>100110010000=>000110010000 [4,4,1,1,1,1]=>100010001111=>000010001111 [4,3,1,2,1,1]=>100010011011=>000010011011 [4,3,1,1,1,2]=>100010011110=>000010011110 [4,3,2,3]=>100010010100=>000010010100 [4,2,1,3,1,1]=>100010110011=>000010110011 [4,2,1,2,1,2]=>100010110110=>000010110110 [4,1,1,4,1,1]=>100011100011=>000011100011 [4,1,1,3,1,2]=>100011100110=>000011100110 [4,1,1,2,1,3]=>100011101100=>000011101100 [4,1,1,1,1,4]=>100011111000=>000011111000 [4,1,2,5]=>100011010000=>000011010000 [5,3,1,3]=>100001001100=>000001001100 [5,1,1,5]=>100001110000=>000001110000 [1,2,2,2,2,2,1]=>110101010101=>010101010101 [1,2,2,2,3,2]=>110101010010=>010101010010 [1,2,2,3,3,1]=>110101001001=>010101001001 [1,2,2,3,2,2]=>110101001010=>010101001010 [1,2,3,3,2,1]=>110100100101=>010100100101 [1,2,3,2,3,1]=>110100101001=>010100101001 [1,2,3,2,2,2]=>110100101010=>010100101010 [1,2,5,4]=>110100001000=>010100001000 [1,3,3,2,2,1]=>110010010101=>010010010101 [1,3,5,3]=>110010000100=>010010000100 [1,3,2,3,2,1]=>110010100101=>010010100101 [1,3,2,2,3,1]=>110010101001=>010010101001 [1,3,2,2,2,2]=>110010101010=>010010101010 [1,4,5,2]=>110001000010=>010001000010 [1,4,3,4]=>110001001000=>010001001000 [1,5,5,1]=>110000100001=>010000100001 [1,5,3,3]=>110000100100=>010000100100 [2,3,2,2,2,1]=>101001010101=>001001010101 [2,3,4,3]=>101001000100=>001001000100 [2,5,4,1]=>101000010001=>001000010001 [2,5,2,3]=>101000010100=>001000010100 [2,2,3,2,2,1]=>101010010101=>001010010101 [2,2,2,3,2,1]=>101010100101=>001010100101 [2,2,2,2,3,1]=>101010101001=>001010101001 [2,4,5,1]=>101000100001=>001000100001 [3,4,4,1]=>100100010001=>000100010001 [3,3,5,1]=>100100100001=>000100100001 [4,5,2,1]=>100010000101=>000010000101 [4,3,4,1]=>100010010001=>000010010001 [1,8,2]=>11000000010=>01000000010 [1,7,1,2]=>11000000110=>01000000110 [1,6,1,1,2]=>11000001110=>01000001110 [1,5,1,1,1,2]=>11000011110=>01000011110 [1,4,1,1,1,1,2]=>11000111110=>01000111110 [1,3,1,1,1,1,1,2]=>11001111110=>01001111110 [1,2,1,1,1,1,1,1,2]=>11011111110=>01011111110 [1,1,1,1,1,1,1,1,1,2]=>11111111110=>01111111110 [1,11]=>110000000000=>010000000000 [1,8,1,2]=>110000000110=>010000000110 [1,6,1,1,1,2]=>110000011110=>010000011110 [1,4,2,1,1,2]=>11000101110=>01000101110 [1,4,1,1,1,1,1,2]=>110001111110=>010001111110 [1,2,1,1,1,1,1,1,1,2]=>110111111110=>010111111110 [1,2,2,2,2,2]=>11010101010=>01010101010 [1,2,2,2,1,3]=>11010101100=>01010101100 [1,2,2,1,2,3]=>11010110100=>01010110100 [1,2,1,2,2,3]=>11011010100=>01011010100 [1,2,1,1,4,2]=>11011100010=>01011100010 [1,2,1,1,2,4]=>11011101000=>01011101000 [1,1,2,2,2,3]=>11101010100=>01101010100 [1,1,1,2,4,2]=>11110100010=>01110100010 [1,1,1,1,5,2]=>11111000010=>01111000010 [1,1,1,1,1,6]=>11111100000=>01111100000 [1,1,2,1,4,2,1]=>111011000101=>011011000101 [1,1,2,3,2,2,1]=>111010010101=>011010010101 [1,3,2,1,2,2,1]=>110010110101=>010010110101 [1,1,4,1,2,2,1]=>111000110101=>011000110101 [1,1,2,1,2,4,1]=>111011010001=>011011010001 [3,1,2,5,1]=>100110100001=>000110100001 [1,1,1,2,1,5,1]=>111101100001=>011101100001 [1,2,2,1,2,3,1]=>110101101001=>010101101001 [1,1,2,2,2,3,1]=>111010101001=>011010101001 [1,1,1,2,3,3,1]=>111101001001=>011101001001 [1,3,1,2,1,3,1]=>110011011001=>010011011001 [1,1,3,2,1,3,1]=>111001011001=>011001011001 [1,1,1,4,1,3,1]=>111100011001=>011100011001 [1,2,2,3,2,1,1]=>110101001011=>010101001011 [1,1,2,4,2,1,1]=>111010001011=>011010001011 [1,3,2,2,2,1,1]=>110010101011=>010010101011 [1,1,4,2,2,1,1]=>111000101011=>011000101011 [1,2,2,1,4,1,1]=>110101100011=>010101100011 [3,3,4,1,1]=>100100100011=>000100100011 [1,1,2,2,4,1,1]=>111010100011=>011010100011 [1,1,1,2,5,1,1]=>111101000011=>011101000011 [1,3,1,2,3,1,1]=>110011010011=>010011010011 [1,1,3,2,3,1,1]=>111001010011=>011001010011 [1,1,1,4,3,1,1]=>111100010011=>011100010011 [3,3,1,2,1,1,1]=>100100110111=>000100110111 [3,1,3,2,1,1,1]=>100110010111=>000110010111 [1,3,1,4,1,1,1]=>110011000111=>010011000111 [1,1,3,4,1,1,1]=>111001000111=>011001000111 [1,1,1,6,1,1,1]=>111100000111=>011100000111 [2,2,2,2,1,2,1]=>101010101101=>001010101101 [2,2,2,1,2,2,1]=>101010110101=>001010110101 [2,2,1,2,1,1,2,1]=>101011011101=>001011011101 [2,2,1,2,2,2,1]=>101011010101=>001011010101 [2,2,1,1,1,2,2,1]=>101011110101=>001011110101 [2,1,2,1,2,1,2,1]=>101101101101=>001101101101 [2,1,2,1,1,2,2,1]=>101101110101=>001101110101 [2,1,2,2,1,1,2,1]=>101101011101=>001101011101 [2,1,2,2,2,2,1]=>101101010101=>001101010101 [2,1,1,2,1,2,2,1]=>101110110101=>001110110101 [2,1,1,1,2,2,2,1]=>101111010101=>001111010101 [1,2,1,2,2,1,2,1]=>110110101101=>010110101101 [1,2,1,2,1,2,1,2]=>110110110110=>010110110110 [1,2,1,1,2,1,2,2]=>110111011010=>010111011010 [1,2,1,1,2,2,2,1]=>110111010101=>010111010101 [1,2,2,1,1,2,2,1]=>110101110101=>010101110101 [1,2,2,1,1,1,2,2]=>110101111010=>010101111010 [1,2,2,2,1,1,2,1]=>110101011101=>010101011101 [1,1,2,2,1,2,2,1]=>111010110101=>011010110101 [1,1,1,2,2,1,2,2]=>111101011010=>011101011010 [1,1,1,2,2,2,2,1]=>111101010101=>011101010101 [3,3,3,2]=>10010010010=>00010010010 [3,4,4]=>10010001000=>00010001000 [2,3,3,3]=>10100100100=>00100100100 [4,4,3]=>10001000100=>00001000100 [2,1,1,1,1,1,1,1,1,1]=>10111111111=>00111111111 [3,2,2,2,2,1]=>100101010101=>000101010101 [7,5]=>100000010000=>000000010000 [2,1,1,1,1,1,1,2,1]=>10111111101=>00111111101 [11,1]=>100000000001=>000000000001 [2,1,8,1]=>101100000001=>001100000001 [2,1,1,1,6,1]=>101111000001=>001111000001 [2,1,1,1,1,5,1]=>101111100001=>001111100001 [2,1,1,1,1,1,4,1]=>101111110001=>001111110001 [2,1,1,1,1,1,1,1,2,1]=>101111111101=>001111111101 [2,2,2,2,2,1]=>10101010101=>00101010101 [5,2,1,1,1,1]=>10000101111=>00000101111 [6,1,1,1,1,1]=>10000011111=>00000011111 [2,2,1,1,1,2,1,1,1]=>101011110111=>001011110111 [2,1,2,1,1,1,2,1,1]=>101101111011=>001101111011 [2,1,2,1,1,2,1,1,1]=>101101110111=>001101110111 [2,1,1,2,1,1,2,1,1]=>101110111011=>001110111011 [2,1,1,2,1,2,1,1,1]=>101110110111=>001110110111 [1,2,1,1,1,1,2,1,1,1]=>110111110111=>010111110111 [1,2,2,1,2,1,1,2]=>110101101110=>010101101110 [1,2,2,1,2,2,1,1]=>110101101011=>010101101011 [1,2,1,1,1,2,1,1,1,1]=>110111101111=>010111101111 [1,1,2,1,1,1,2,1,1,1]=>111011110111=>011011110111 [1,1,1,2,1,1,1,1,2,1]=>111101111101=>011101111101 [1,1,1,2,1,1,1,2,1,1]=>111101111011=>011101111011 [1,1,1,2,1,1,2,1,1,1]=>111101110111=>011101110111 [1,1,1,2,1,2,1,1,1,1]=>111101101111=>011101101111 [1,1,1,1,2,1,1,1,2,1]=>111110111101=>011110111101 [1,1,1,1,2,1,2,1,1,1]=>111110110111=>011110110111 [2,1,1,1,1,1,1,3]=>10111111100=>00111111100 [2,1,1,1,1,1,2,2]=>10111111010=>00111111010 [2,1,1,1,2,1,1,2]=>10111101110=>00111101110 [2,1,1,2,1,1,1,2]=>10111011110=>00111011110 [2,2,1,1,1,1,1,2]=>10101111110=>00101111110 [3,1,1,1,1,1,1,2]=>10011111110=>00011111110 [1,2,2,4,2,1]=>110101000101=>010101000101 [1,2,4,2,2,1]=>110100010101=>010100010101 [1,4,2,2,2,1]=>110001010101=>010001010101 [2,2,2,2,2,1,1]=>101010101011=>001010101011 [2,2,1,2,2,1,1,1]=>101011010111=>001011010111 [2,1,2,2,2,1,1,1]=>101101010111=>001101010111 [1,2,2,2,2,1,1,1]=>110101010111=>010101010111 [1,2,1,1,2,1,1,1,1,1]=>110111011111=>010111011111 [1,1,2,1,2,1,1,1,1,1]=>111011011111=>011011011111 [1,1,1,2,2,1,1,1,1,1]=>111101011111=>011101011111 [9,2]=>10000000010=>00000000010 [1,1,1,1,1,1,1,2,2,1]=>111111110101=>011111110101 [1,1,1,1,1,2,2,1,1,1]=>111111010111=>011111010111 [1,1,1,1,1,2,1,1,2,1]=>111111011101=>011111011101 [1,2,2,1,1,1,1,1,1,1]=>110101111111=>010101111111 [1,2,1,1,1,1,1,1,2,1]=>110111111101=>010111111101 [1,2,2,2,3,1,1]=>110101010011=>010101010011 [1,2,2,3,1,2,1]=>110101001101=>010101001101 [1,2,2,4,1,1,1]=>110101000111=>010101000111 [1,2,3,1,2,2,1]=>110100110101=>010100110101 [1,2,3,1,3,1,1]=>110100110011=>010100110011 [1,2,3,2,1,2,1]=>110100101101=>010100101101 [1,2,4,1,1,2,1]=>110100011101=>010100011101 [1,2,3,2,2,1,1]=>110100101011=>010100101011 [1,2,5,1,1,1,1]=>110100001111=>010100001111 [1,3,1,2,2,2,1]=>110011010101=>010011010101 [1,3,1,3,1,2,1]=>110011001101=>010011001101 [1,3,1,3,2,1,1]=>110011001011=>010011001011 [1,3,2,1,3,1,1]=>110010110011=>010010110011 [1,4,1,1,2,2,1]=>110001110101=>010001110101 [1,4,1,1,3,1,1]=>110001110011=>010001110011 [1,3,2,2,1,2,1]=>110010101101=>010010101101 [1,5,1,1,1,2,1]=>110000111101=>010000111101 [1,6,1,1,1,1,1]=>110000011111=>010000011111 [2,1,2,2,3,1,1]=>101101010011=>001101010011 [2,1,2,3,1,2,1]=>101101001101=>001101001101 [2,1,2,3,2,1,1]=>101101001011=>001101001011 [2,1,2,4,1,1,1]=>101101000111=>001101000111 [2,1,3,1,2,2,1]=>101100110101=>001100110101 [2,1,3,1,3,1,1]=>101100110011=>001100110011 [2,1,3,2,1,2,1]=>101100101101=>001100101101 [2,1,3,2,2,1,1]=>101100101011=>001100101011 [2,1,3,3,1,1,1]=>101100100111=>001100100111 [2,1,4,1,2,1,1]=>101100011011=>001100011011 [2,1,4,2,1,1,1]=>101100010111=>001100010111 [2,2,1,2,3,1,1]=>101011010011=>001011010011 [2,2,1,3,1,2,1]=>101011001101=>001011001101 [2,2,1,3,2,1,1]=>101011001011=>001011001011 [2,2,1,4,1,1,1]=>101011000111=>001011000111 [2,2,2,1,3,1,1]=>101010110011=>001010110011 [2,3,1,1,3,1,1]=>101001110011=>001001110011 [3,1,2,1,3,1,1]=>100110110011=>000110110011 [3,2,1,1,3,1,1]=>100101110011=>000101110011 [2,2,4,1,1,1,1]=>101010001111=>001010001111 [2,3,1,3,1,1,1]=>101001100111=>001001100111 [2,4,1,1,2,1,1]=>101000111011=>001000111011 [2,3,3,1,1,1,1]=>101001001111=>001001001111 [2,4,1,2,1,1,1]=>101000110111=>001000110111 [2,4,2,1,1,1,1]=>101000101111=>001000101111 [3,1,2,3,1,1,1]=>100110100111=>000110100111 [3,1,3,1,2,1,1]=>100110011011=>000110011011 [3,2,1,3,1,1,1]=>100101100111=>000101100111 [3,3,1,1,2,1,1]=>100100111011=>000100111011 [3,2,3,1,1,1,1]=>100101001111=>000101001111 [3,3,2,1,1,1,1]=>100100101111=>000100101111 [11]=>10000000000=>00000000000 [2,9]=>10100000000=>00100000000 [1,1,2,3,2,3]=>111010010100=>011010010100 [1,2,2,2,2,3]=>110101010100=>010101010100 [2,3,2,5]=>101001010000=>001001010000 [5,1,1,1,1,2]=>10000111110=>00000111110 [1,1,1,1,1,1,1,1,2,1]=>11111111101=>01111111101 [1,1,1,1,1,1,1,1,1,1,1]=>11111111111=>01111111111 [1,1,1,2,1,2,1,1,1]=>11110110111=>01110110111 [1,1,1,2,1,1,1,2,1]=>11110111101=>01110111101 [1,3,1,1,1,1,1,1,1]=>11001111111=>01001111111 [1,2,1,1,1,2,1,1,1]=>11011110111=>01011110111 [1,2,2,1,2,2,1]=>11010110101=>01010110101 [1,6,4]=>11000001000=>01000001000 [1,4,6]=>11000100000=>01000100000 [1,2,1,2,1,1,1,1,1,1]=>110110111111=>010110111111 [1,2,1,1,1,1,1,2,1,1]=>110111111011=>010111111011 [1,1,2,1,1,1,1,1,2,1]=>111011111101=>011011111101 [1,1,1,1,1,2,1,2,1,1]=>111111011011=>011111011011 [1,1,1,1,1,1,2,1,2,1]=>111111101101=>011111101101 [1,2,2,2,4,1]=>110101010001=>010101010001 [1,1,2,1,1,1,2,1,1]=>11101111011=>01101111011 [1,1,2,2,2,1,1,1]=>11101010111=>01101010111 [1,1,2,2,1,2,1,1]=>11101011011=>01101011011 [1,1,2,1,2,2,1,1]=>11101101011=>01101101011 [1,2,2,2,2,1,1]=>11010101011=>01010101011 [1,1,2,2,2,4]=>111010101000=>011010101000