=>

[1]=>10=>01=>[2,1] [2]=>100=>001=>[3,1] [1,1]=>110=>101=>[1,2,1] [3]=>1000=>0001=>[4,1] [2,1]=>1010=>0101=>[2,2,1] [1,1,1]=>1110=>1101=>[1,1,2,1] [4]=>10000=>00001=>[5,1] [3,1]=>10010=>00101=>[3,2,1] [2,2]=>1100=>1001=>[1,3,1] [2,1,1]=>10110=>01101=>[2,1,2,1] [1,1,1,1]=>11110=>11101=>[1,1,1,2,1] [5]=>100000=>000001=>[6,1] [4,1]=>100010=>000101=>[4,2,1] [3,2]=>10100=>01001=>[2,3,1] [3,1,1]=>100110=>001101=>[3,1,2,1] [2,2,1]=>11010=>10101=>[1,2,2,1] [2,1,1,1]=>101110=>011101=>[2,1,1,2,1] [1,1,1,1,1]=>111110=>111101=>[1,1,1,1,2,1] [6]=>1000000=>0000001=>[7,1] [5,1]=>1000010=>0000101=>[5,2,1] [4,2]=>100100=>001001=>[3,3,1] [4,1,1]=>1000110=>0001101=>[4,1,2,1] [3,3]=>11000=>10001=>[1,4,1] [3,2,1]=>101010=>010101=>[2,2,2,1] [3,1,1,1]=>1001110=>0011101=>[3,1,1,2,1] [2,2,2]=>11100=>11001=>[1,1,3,1] [2,2,1,1]=>110110=>101101=>[1,2,1,2,1] [2,1,1,1,1]=>1011110=>0111101=>[2,1,1,1,2,1] [1,1,1,1,1,1]=>1111110=>1111101=>[1,1,1,1,1,2,1] [7]=>10000000=>00000001=>[8,1] [6,1]=>10000010=>00000101=>[6,2,1] [5,2]=>1000100=>0001001=>[4,3,1] [5,1,1]=>10000110=>00001101=>[5,1,2,1] [4,3]=>101000=>010001=>[2,4,1] [4,2,1]=>1001010=>0010101=>[3,2,2,1] [4,1,1,1]=>10001110=>00011101=>[4,1,1,2,1] [3,3,1]=>110010=>100101=>[1,3,2,1] [3,2,2]=>101100=>011001=>[2,1,3,1] [3,2,1,1]=>1010110=>0101101=>[2,2,1,2,1] [3,1,1,1,1]=>10011110=>00111101=>[3,1,1,1,2,1] [2,2,2,1]=>111010=>110101=>[1,1,2,2,1] [2,2,1,1,1]=>1101110=>1011101=>[1,2,1,1,2,1] [2,1,1,1,1,1]=>10111110=>01111101=>[2,1,1,1,1,2,1] [1,1,1,1,1,1,1]=>11111110=>11111101=>[1,1,1,1,1,1,2,1] [8]=>100000000=>000000001=>[9,1] [7,1]=>100000010=>000000101=>[7,2,1] [6,2]=>10000100=>00001001=>[5,3,1] [6,1,1]=>100000110=>000001101=>[6,1,2,1] [5,3]=>1001000=>0010001=>[3,4,1] [5,2,1]=>10001010=>00010101=>[4,2,2,1] [5,1,1,1]=>100001110=>000011101=>[5,1,1,2,1] [4,4]=>110000=>100001=>[1,5,1] [4,3,1]=>1010010=>0100101=>[2,3,2,1] [4,2,2]=>1001100=>0011001=>[3,1,3,1] [4,2,1,1]=>10010110=>00101101=>[3,2,1,2,1] [4,1,1,1,1]=>100011110=>000111101=>[4,1,1,1,2,1] [3,3,2]=>110100=>101001=>[1,2,3,1] [3,3,1,1]=>1100110=>1001101=>[1,3,1,2,1] [3,2,2,1]=>1011010=>0110101=>[2,1,2,2,1] [3,2,1,1,1]=>10101110=>01011101=>[2,2,1,1,2,1] [3,1,1,1,1,1]=>100111110=>001111101=>[3,1,1,1,1,2,1] [2,2,2,2]=>111100=>111001=>[1,1,1,3,1] [2,2,2,1,1]=>1110110=>1101101=>[1,1,2,1,2,1] [2,2,1,1,1,1]=>11011110=>10111101=>[1,2,1,1,1,2,1] [2,1,1,1,1,1,1]=>101111110=>011111101=>[2,1,1,1,1,1,2,1] [1,1,1,1,1,1,1,1]=>111111110=>111111101=>[1,1,1,1,1,1,1,2,1] [9]=>1000000000=>0000000001=>[10,1] [8,1]=>1000000010=>0000000101=>[8,2,1] [7,2]=>100000100=>000001001=>[6,3,1] [7,1,1]=>1000000110=>0000001101=>[7,1,2,1] [6,3]=>10001000=>00010001=>[4,4,1] [6,2,1]=>100001010=>000010101=>[5,2,2,1] [5,4]=>1010000=>0100001=>[2,5,1] [5,3,1]=>10010010=>00100101=>[3,3,2,1] [5,2,2]=>10001100=>00011001=>[4,1,3,1] [5,2,1,1]=>100010110=>000101101=>[4,2,1,2,1] [5,1,1,1,1]=>1000011110=>0000111101=>[5,1,1,1,2,1] [4,4,1]=>1100010=>1000101=>[1,4,2,1] [4,3,2]=>1010100=>0101001=>[2,2,3,1] [4,3,1,1]=>10100110=>01001101=>[2,3,1,2,1] [4,2,2,1]=>10011010=>00110101=>[3,1,2,2,1] [4,2,1,1,1]=>100101110=>001011101=>[3,2,1,1,2,1] [4,1,1,1,1,1]=>1000111110=>0001111101=>[4,1,1,1,1,2,1] [3,3,3]=>111000=>110001=>[1,1,4,1] [3,3,2,1]=>1101010=>1010101=>[1,2,2,2,1] [3,3,1,1,1]=>11001110=>10011101=>[1,3,1,1,2,1] [3,2,2,2]=>1011100=>0111001=>[2,1,1,3,1] [3,2,2,1,1]=>10110110=>01101101=>[2,1,2,1,2,1] [3,2,1,1,1,1]=>101011110=>010111101=>[2,2,1,1,1,2,1] [2,2,2,2,1]=>1111010=>1110101=>[1,1,1,2,2,1] [2,2,2,1,1,1]=>11101110=>11011101=>[1,1,2,1,1,2,1] [2,2,1,1,1,1,1]=>110111110=>101111101=>[1,2,1,1,1,1,2,1] [2,1,1,1,1,1,1,1]=>1011111110=>0111111101=>[2,1,1,1,1,1,1,2,1] [10]=>10000000000=>00000000001=>[11,1] [8,1,1]=>10000000110=>00000001101=>[8,1,2,1] [7,3]=>100001000=>000010001=>[5,4,1] [6,4]=>10010000=>00100001=>[3,5,1] [6,3,1]=>100010010=>000100101=>[4,3,2,1] [6,2,2]=>100001100=>000011001=>[5,1,3,1] [5,5]=>1100000=>1000001=>[1,6,1] [5,4,1]=>10100010=>01000101=>[2,4,2,1] [5,3,2]=>10010100=>00101001=>[3,2,3,1] [5,3,1,1]=>100100110=>001001101=>[3,3,1,2,1] [5,2,2,1]=>100011010=>000110101=>[4,1,2,2,1] [5,2,1,1,1]=>1000101110=>0001011101=>[4,2,1,1,2,1] [4,4,2]=>1100100=>1001001=>[1,3,3,1] [4,4,1,1]=>11000110=>10001101=>[1,4,1,2,1] [4,3,3]=>1011000=>0110001=>[2,1,4,1] [4,3,2,1]=>10101010=>01010101=>[2,2,2,2,1] [4,3,1,1,1]=>101001110=>010011101=>[2,3,1,1,2,1] [4,2,2,2]=>10011100=>00111001=>[3,1,1,3,1] [4,2,2,1,1]=>100110110=>001101101=>[3,1,2,1,2,1] [3,3,3,1]=>1110010=>1100101=>[1,1,3,2,1] [3,3,2,2]=>1101100=>1011001=>[1,2,1,3,1] [3,3,2,1,1]=>11010110=>10101101=>[1,2,2,1,2,1] [3,3,1,1,1,1]=>110011110=>100111101=>[1,3,1,1,1,2,1] [3,2,2,2,1]=>10111010=>01110101=>[2,1,1,2,2,1] [3,2,2,1,1,1]=>101101110=>011011101=>[2,1,2,1,1,2,1] [2,2,2,2,2]=>1111100=>1111001=>[1,1,1,1,3,1] [2,2,2,2,1,1]=>11110110=>11101101=>[1,1,1,2,1,2,1] [2,2,2,1,1,1,1]=>111011110=>110111101=>[1,1,2,1,1,1,2,1] [2,2,1,1,1,1,1,1]=>1101111110=>1011111101=>[1,2,1,1,1,1,1,2,1] [2,1,1,1,1,1,1,1,1]=>10111111110=>01111111101=>[2,1,1,1,1,1,1,1,2,1] [7,4]=>100010000=>000100001=>[4,5,1] [6,5]=>10100000=>01000001=>[2,6,1] [6,4,1]=>100100010=>001000101=>[3,4,2,1] [6,3,2]=>100010100=>000101001=>[4,2,3,1] [5,5,1]=>11000010=>10000101=>[1,5,2,1] [5,4,2]=>10100100=>01001001=>[2,3,3,1] [5,4,1,1]=>101000110=>010001101=>[2,4,1,2,1] [5,3,3]=>10011000=>00110001=>[3,1,4,1] [5,3,2,1]=>100101010=>001010101=>[3,2,2,2,1] [5,2,2,2]=>100011100=>000111001=>[4,1,1,3,1] [4,4,3]=>1101000=>1010001=>[1,2,4,1] [4,4,2,1]=>11001010=>10010101=>[1,3,2,2,1] [4,4,1,1,1]=>110001110=>100011101=>[1,4,1,1,2,1] [4,3,3,1]=>10110010=>01100101=>[2,1,3,2,1] [4,3,2,2]=>10101100=>01011001=>[2,2,1,3,1] [4,3,2,1,1]=>101010110=>010101101=>[2,2,2,1,2,1] [4,2,2,2,1]=>100111010=>001110101=>[3,1,1,2,2,1] [3,3,3,2]=>1110100=>1101001=>[1,1,2,3,1] [3,3,3,1,1]=>11100110=>11001101=>[1,1,3,1,2,1] [3,3,2,2,1]=>11011010=>10110101=>[1,2,1,2,2,1] [3,3,2,1,1,1]=>110101110=>101011101=>[1,2,2,1,1,2,1] [3,2,2,2,2]=>10111100=>01111001=>[2,1,1,1,3,1] [3,2,2,2,1,1]=>101110110=>011101101=>[2,1,1,2,1,2,1] [2,2,2,2,2,1]=>11111010=>11110101=>[1,1,1,1,2,2,1] [2,2,2,2,1,1,1]=>111101110=>111011101=>[1,1,1,2,1,1,2,1] [7,5]=>100100000=>001000001=>[3,6,1] [6,6]=>11000000=>10000001=>[1,7,1] [6,5,1]=>101000010=>010000101=>[2,5,2,1] [6,4,2]=>100100100=>001001001=>[3,3,3,1] [6,3,3]=>100011000=>000110001=>[4,1,4,1] [6,3,2,1]=>1000101010=>0001010101=>[4,2,2,2,1] [5,5,2]=>11000100=>10001001=>[1,4,3,1] [5,5,1,1]=>110000110=>100001101=>[1,5,1,2,1] [5,4,3]=>10101000=>01010001=>[2,2,4,1] [5,4,2,1]=>101001010=>010010101=>[2,3,2,2,1] [5,3,3,1]=>100110010=>001100101=>[3,1,3,2,1] [5,3,2,2]=>100101100=>001011001=>[3,2,1,3,1] [4,4,4]=>1110000=>1100001=>[1,1,5,1] [4,4,3,1]=>11010010=>10100101=>[1,2,3,2,1] [4,4,2,2]=>11001100=>10011001=>[1,3,1,3,1] [4,4,2,1,1]=>110010110=>100101101=>[1,3,2,1,2,1] [4,4,1,1,1,1]=>1100011110=>1000111101=>[1,4,1,1,1,2,1] [4,3,3,2]=>10110100=>01101001=>[2,1,2,3,1] [4,3,3,1,1]=>101100110=>011001101=>[2,1,3,1,2,1] [4,3,2,2,1]=>101011010=>010110101=>[2,2,1,2,2,1] [4,2,2,2,2]=>100111100=>001111001=>[3,1,1,1,3,1] [3,3,3,3]=>1111000=>1110001=>[1,1,1,4,1] [3,3,3,2,1]=>11101010=>11010101=>[1,1,2,2,2,1] [3,3,3,1,1,1]=>111001110=>110011101=>[1,1,3,1,1,2,1] [3,3,2,2,2]=>11011100=>10111001=>[1,2,1,1,3,1] [3,3,2,2,1,1]=>110110110=>101101101=>[1,2,1,2,1,2,1] [3,2,2,2,2,1]=>101111010=>011110101=>[2,1,1,1,2,2,1] [2,2,2,2,2,2]=>11111100=>11111001=>[1,1,1,1,1,3,1] [2,2,2,2,2,1,1]=>111110110=>111101101=>[1,1,1,1,2,1,2,1] [7,6]=>101000000=>010000001=>[2,7,1] [6,6,1]=>110000010=>100000101=>[1,6,2,1] [6,5,2]=>101000100=>010001001=>[2,4,3,1] [6,4,3]=>100101000=>001010001=>[3,2,4,1] [5,5,3]=>11001000=>10010001=>[1,3,4,1] [5,5,2,1]=>110001010=>100010101=>[1,4,2,2,1] [5,4,4]=>10110000=>01100001=>[2,1,5,1] [5,4,3,1]=>101010010=>010100101=>[2,2,3,2,1] [5,4,2,2]=>101001100=>010011001=>[2,3,1,3,1] [5,3,3,2]=>100110100=>001101001=>[3,1,2,3,1] [4,4,4,1]=>11100010=>11000101=>[1,1,4,2,1] [4,4,3,2]=>11010100=>10101001=>[1,2,2,3,1] [4,4,3,1,1]=>110100110=>101001101=>[1,2,3,1,2,1] [4,4,2,2,1]=>110011010=>100110101=>[1,3,1,2,2,1] [4,3,3,3]=>10111000=>01110001=>[2,1,1,4,1] [4,3,3,2,1]=>101101010=>011010101=>[2,1,2,2,2,1] [4,3,2,2,2]=>101011100=>010111001=>[2,2,1,1,3,1] [3,3,3,3,1]=>11110010=>11100101=>[1,1,1,3,2,1] [3,3,3,2,2]=>11101100=>11011001=>[1,1,2,1,3,1] [3,3,3,2,1,1]=>111010110=>110101101=>[1,1,2,2,1,2,1] [3,3,2,2,2,1]=>110111010=>101110101=>[1,2,1,1,2,2,1] [3,2,2,2,2,2]=>101111100=>011111001=>[2,1,1,1,1,3,1] [2,2,2,2,2,2,1]=>111111010=>111110101=>[1,1,1,1,1,2,2,1] [7,7]=>110000000=>100000001=>[1,8,1] [6,6,2]=>110000100=>100001001=>[1,5,3,1] [6,6,1,1]=>1100000110=>1000001101=>[1,6,1,2,1] [6,5,3]=>101001000=>010010001=>[2,3,4,1] [6,5,2,1]=>1010001010=>0100010101=>[2,4,2,2,1] [6,4,4]=>100110000=>001100001=>[3,1,5,1] [6,3,3,2]=>1000110100=>0001101001=>[4,1,2,3,1] [5,5,4]=>11010000=>10100001=>[1,2,5,1] [5,5,3,1]=>110010010=>100100101=>[1,3,3,2,1] [5,5,2,2]=>110001100=>100011001=>[1,4,1,3,1] [5,4,4,1]=>101100010=>011000101=>[2,1,4,2,1] [5,4,3,2]=>101010100=>010101001=>[2,2,2,3,1] [5,3,3,3]=>100111000=>001110001=>[3,1,1,4,1] [4,4,4,2]=>11100100=>11001001=>[1,1,3,3,1] [4,4,4,1,1]=>111000110=>110001101=>[1,1,4,1,2,1] [4,4,3,3]=>11011000=>10110001=>[1,2,1,4,1] [4,4,3,2,1]=>110101010=>101010101=>[1,2,2,2,2,1] [4,4,2,2,2]=>110011100=>100111001=>[1,3,1,1,3,1] [4,3,3,3,1]=>101110010=>011100101=>[2,1,1,3,2,1] [4,3,3,2,2]=>101101100=>011011001=>[2,1,2,1,3,1] [3,3,3,3,2]=>11110100=>11101001=>[1,1,1,2,3,1] [3,3,3,3,1,1]=>111100110=>111001101=>[1,1,1,3,1,2,1] [3,3,3,2,2,1]=>111011010=>110110101=>[1,1,2,1,2,2,1] [3,3,2,2,2,2]=>110111100=>101111001=>[1,2,1,1,1,3,1] [2,2,2,2,2,2,2]=>111111100=>111111001=>[1,1,1,1,1,1,3,1] [6,6,3]=>110001000=>100010001=>[1,4,4,1] [6,6,2,1]=>1100001010=>1000010101=>[1,5,2,2,1] [6,5,4]=>101010000=>010100001=>[2,2,5,1] [6,5,2,2]=>1010001100=>0100011001=>[2,4,1,3,1] [5,5,5]=>11100000=>11000001=>[1,1,6,1] [5,5,4,1]=>110100010=>101000101=>[1,2,4,2,1] [5,5,3,2]=>110010100=>100101001=>[1,3,2,3,1] [5,4,4,2]=>101100100=>011001001=>[2,1,3,3,1] [5,4,3,3]=>101011000=>010110001=>[2,2,1,4,1] [5,4,3,2,1]=>1010101010=>0101010101=>[2,2,2,2,2,1] [4,4,4,3]=>11101000=>11010001=>[1,1,2,4,1] [4,4,4,2,1]=>111001010=>110010101=>[1,1,3,2,2,1] [4,4,3,3,1]=>110110010=>101100101=>[1,2,1,3,2,1] [4,4,3,2,2]=>110101100=>101011001=>[1,2,2,1,3,1] [4,3,3,3,2]=>101110100=>011101001=>[2,1,1,2,3,1] [3,3,3,3,3]=>11111000=>11110001=>[1,1,1,1,4,1] [3,3,3,3,2,1]=>111101010=>111010101=>[1,1,1,2,2,2,1] [3,3,3,2,2,2]=>111011100=>110111001=>[1,1,2,1,1,3,1] [8,8]=>1100000000=>1000000001=>[1,9,1] [6,6,4]=>110010000=>100100001=>[1,3,5,1] [6,5,5]=>101100000=>011000001=>[2,1,6,1] [6,5,4,1]=>1010100010=>0101000101=>[2,2,4,2,1] [6,5,3,2]=>1010010100=>0100101001=>[2,3,2,3,1] [5,5,5,1]=>111000010=>110000101=>[1,1,5,2,1] [5,5,4,2]=>110100100=>101001001=>[1,2,3,3,1] [5,5,3,3]=>110011000=>100110001=>[1,3,1,4,1] [5,5,3,2,1]=>1100101010=>1001010101=>[1,3,2,2,2,1] [5,4,4,3]=>101101000=>011010001=>[2,1,2,4,1] [5,4,4,2,1]=>1011001010=>0110010101=>[2,1,3,2,2,1] [4,4,4,4]=>11110000=>11100001=>[1,1,1,5,1] [4,4,4,3,1]=>111010010=>110100101=>[1,1,2,3,2,1] [4,4,4,2,2]=>111001100=>110011001=>[1,1,3,1,3,1] [4,4,3,3,2]=>110110100=>101101001=>[1,2,1,2,3,1] [4,3,3,3,3]=>101111000=>011110001=>[2,1,1,1,4,1] [3,3,3,3,3,1]=>111110010=>111100101=>[1,1,1,1,3,2,1] [3,3,3,3,2,2]=>111101100=>111011001=>[1,1,1,2,1,3,1] [6,6,5]=>110100000=>101000001=>[1,2,6,1] [6,5,3,3]=>1010011000=>0100110001=>[2,3,1,4,1] [5,5,5,2]=>111000100=>110001001=>[1,1,4,3,1] [5,5,4,3]=>110101000=>101010001=>[1,2,2,4,1] [5,4,4,4]=>101110000=>011100001=>[2,1,1,5,1] [5,4,4,2,2]=>1011001100=>0110011001=>[2,1,3,1,3,1] [4,4,4,4,1]=>111100010=>111000101=>[1,1,1,4,2,1] [4,4,4,3,2]=>111010100=>110101001=>[1,1,2,2,3,1] [4,4,3,3,3]=>110111000=>101110001=>[1,2,1,1,4,1] [3,3,3,3,3,2]=>111110100=>111101001=>[1,1,1,1,2,3,1]