=>

0=>0=>0=>[1] 1=>1=>1=>[1] 00=>00=>00=>[2] 01=>10=>01=>[1,1] 10=>01=>10=>[1,1] 11=>11=>11=>[2] 000=>000=>000=>[3] 001=>100=>001=>[2,1] 010=>010=>100=>[1,2] 011=>110=>101=>[1,1,1] 100=>001=>010=>[1,1,1] 101=>101=>011=>[1,2] 110=>011=>110=>[2,1] 111=>111=>111=>[3] 0000=>0000=>0000=>[4] 0001=>1000=>0001=>[3,1] 0010=>0100=>1000=>[1,3] 0011=>1100=>1001=>[1,2,1] 0100=>0010=>0100=>[1,1,2] 0101=>1010=>0101=>[1,1,1,1] 0110=>0110=>1100=>[2,2] 0111=>1110=>1101=>[2,1,1] 1000=>0001=>0010=>[2,1,1] 1001=>1001=>0011=>[2,2] 1010=>0101=>1010=>[1,1,1,1] 1011=>1101=>1011=>[1,1,2] 1100=>0011=>0110=>[1,2,1] 1101=>1011=>0111=>[1,3] 1110=>0111=>1110=>[3,1] 1111=>1111=>1111=>[4] 00000=>00000=>00000=>[5] 00001=>10000=>00001=>[4,1] 00010=>01000=>10000=>[1,4] 00011=>11000=>10001=>[1,3,1] 00100=>00100=>01000=>[1,1,3] 00101=>10100=>01001=>[1,1,2,1] 00110=>01100=>11000=>[2,3] 00111=>11100=>11001=>[2,2,1] 01000=>00010=>00100=>[2,1,2] 01001=>10010=>00101=>[2,1,1,1] 01010=>01010=>10100=>[1,1,1,2] 01011=>11010=>10101=>[1,1,1,1,1] 01100=>00110=>01100=>[1,2,2] 01101=>10110=>01101=>[1,2,1,1] 01110=>01110=>11100=>[3,2] 01111=>11110=>11101=>[3,1,1] 10000=>00001=>00010=>[3,1,1] 10001=>10001=>00011=>[3,2] 10010=>01001=>10010=>[1,2,1,1] 10011=>11001=>10011=>[1,2,2] 10100=>00101=>01010=>[1,1,1,1,1] 10101=>10101=>01011=>[1,1,1,2] 10110=>01101=>11010=>[2,1,1,1] 10111=>11101=>11011=>[2,1,2] 11000=>00011=>00110=>[2,2,1] 11001=>10011=>00111=>[2,3] 11010=>01011=>10110=>[1,1,2,1] 11011=>11011=>10111=>[1,1,3] 11100=>00111=>01110=>[1,3,1] 11101=>10111=>01111=>[1,4] 11110=>01111=>11110=>[4,1] 11111=>11111=>11111=>[5] 000000=>000000=>000000=>[6] 000001=>100000=>000001=>[5,1] 000010=>010000=>100000=>[1,5] 000011=>110000=>100001=>[1,4,1] 000100=>001000=>010000=>[1,1,4] 000101=>101000=>010001=>[1,1,3,1] 000110=>011000=>110000=>[2,4] 000111=>111000=>110001=>[2,3,1] 001000=>000100=>001000=>[2,1,3] 001001=>100100=>001001=>[2,1,2,1] 001010=>010100=>101000=>[1,1,1,3] 001011=>110100=>101001=>[1,1,1,2,1] 001100=>001100=>011000=>[1,2,3] 001101=>101100=>011001=>[1,2,2,1] 001110=>011100=>111000=>[3,3] 001111=>111100=>111001=>[3,2,1] 010000=>000010=>000100=>[3,1,2] 010001=>100010=>000101=>[3,1,1,1] 010010=>010010=>100100=>[1,2,1,2] 010011=>110010=>100101=>[1,2,1,1,1] 010100=>001010=>010100=>[1,1,1,1,2] 010101=>101010=>010101=>[1,1,1,1,1,1] 010110=>011010=>110100=>[2,1,1,2] 010111=>111010=>110101=>[2,1,1,1,1] 011000=>000110=>001100=>[2,2,2] 011001=>100110=>001101=>[2,2,1,1] 011010=>010110=>101100=>[1,1,2,2] 011011=>110110=>101101=>[1,1,2,1,1] 011100=>001110=>011100=>[1,3,2] 011101=>101110=>011101=>[1,3,1,1] 011110=>011110=>111100=>[4,2] 011111=>111110=>111101=>[4,1,1] 100000=>000001=>000010=>[4,1,1] 100001=>100001=>000011=>[4,2] 100010=>010001=>100010=>[1,3,1,1] 100011=>110001=>100011=>[1,3,2] 100100=>001001=>010010=>[1,1,2,1,1] 100101=>101001=>010011=>[1,1,2,2] 100110=>011001=>110010=>[2,2,1,1] 100111=>111001=>110011=>[2,2,2] 101000=>000101=>001010=>[2,1,1,1,1] 101001=>100101=>001011=>[2,1,1,2] 101010=>010101=>101010=>[1,1,1,1,1,1] 101011=>110101=>101011=>[1,1,1,1,2] 101100=>001101=>011010=>[1,2,1,1,1] 101101=>101101=>011011=>[1,2,1,2] 101110=>011101=>111010=>[3,1,1,1] 101111=>111101=>111011=>[3,1,2] 110000=>000011=>000110=>[3,2,1] 110001=>100011=>000111=>[3,3] 110010=>010011=>100110=>[1,2,2,1] 110011=>110011=>100111=>[1,2,3] 110100=>001011=>010110=>[1,1,1,2,1] 110101=>101011=>010111=>[1,1,1,3] 110110=>011011=>110110=>[2,1,2,1] 110111=>111011=>110111=>[2,1,3] 111000=>000111=>001110=>[2,3,1] 111001=>100111=>001111=>[2,4] 111010=>010111=>101110=>[1,1,3,1] 111011=>110111=>101111=>[1,1,4] 111100=>001111=>011110=>[1,4,1] 111101=>101111=>011111=>[1,5] 111110=>011111=>111110=>[5,1] 111111=>111111=>111111=>[6] 0000000=>0000000=>0000000=>[7] 0000001=>1000000=>0000001=>[6,1] 0000010=>0100000=>1000000=>[1,6] 0000011=>1100000=>1000001=>[1,5,1] 0000100=>0010000=>0100000=>[1,1,5] 0000101=>1010000=>0100001=>[1,1,4,1] 0000110=>0110000=>1100000=>[2,5] 0000111=>1110000=>1100001=>[2,4,1] 0001000=>0001000=>0010000=>[2,1,4] 0001001=>1001000=>0010001=>[2,1,3,1] 0001010=>0101000=>1010000=>[1,1,1,4] 0001011=>1101000=>1010001=>[1,1,1,3,1] 0001100=>0011000=>0110000=>[1,2,4] 0001101=>1011000=>0110001=>[1,2,3,1] 0001110=>0111000=>1110000=>[3,4] 0001111=>1111000=>1110001=>[3,3,1] 0010000=>0000100=>0001000=>[3,1,3] 0010001=>1000100=>0001001=>[3,1,2,1] 0010010=>0100100=>1001000=>[1,2,1,3] 0010011=>1100100=>1001001=>[1,2,1,2,1] 0010100=>0010100=>0101000=>[1,1,1,1,3] 0010101=>1010100=>0101001=>[1,1,1,1,2,1] 0010110=>0110100=>1101000=>[2,1,1,3] 0010111=>1110100=>1101001=>[2,1,1,2,1] 0011000=>0001100=>0011000=>[2,2,3] 0011001=>1001100=>0011001=>[2,2,2,1] 0011010=>0101100=>1011000=>[1,1,2,3] 0011011=>1101100=>1011001=>[1,1,2,2,1] 0011100=>0011100=>0111000=>[1,3,3] 0011101=>1011100=>0111001=>[1,3,2,1] 0011110=>0111100=>1111000=>[4,3] 0011111=>1111100=>1111001=>[4,2,1] 0100000=>0000010=>0000100=>[4,1,2] 0100001=>1000010=>0000101=>[4,1,1,1] 0100010=>0100010=>1000100=>[1,3,1,2] 0100011=>1100010=>1000101=>[1,3,1,1,1] 0100100=>0010010=>0100100=>[1,1,2,1,2] 0100101=>1010010=>0100101=>[1,1,2,1,1,1] 0100110=>0110010=>1100100=>[2,2,1,2] 0100111=>1110010=>1100101=>[2,2,1,1,1] 0101000=>0001010=>0010100=>[2,1,1,1,2] 0101001=>1001010=>0010101=>[2,1,1,1,1,1] 0101010=>0101010=>1010100=>[1,1,1,1,1,2] 0101011=>1101010=>1010101=>[1,1,1,1,1,1,1] 0101100=>0011010=>0110100=>[1,2,1,1,2] 0101101=>1011010=>0110101=>[1,2,1,1,1,1] 0101110=>0111010=>1110100=>[3,1,1,2] 0101111=>1111010=>1110101=>[3,1,1,1,1] 0110000=>0000110=>0001100=>[3,2,2] 0110001=>1000110=>0001101=>[3,2,1,1] 0110010=>0100110=>1001100=>[1,2,2,2] 0110011=>1100110=>1001101=>[1,2,2,1,1] 0110100=>0010110=>0101100=>[1,1,1,2,2] 0110101=>1010110=>0101101=>[1,1,1,2,1,1] 0110110=>0110110=>1101100=>[2,1,2,2] 0110111=>1110110=>1101101=>[2,1,2,1,1] 0111000=>0001110=>0011100=>[2,3,2] 0111001=>1001110=>0011101=>[2,3,1,1] 0111010=>0101110=>1011100=>[1,1,3,2] 0111011=>1101110=>1011101=>[1,1,3,1,1] 0111100=>0011110=>0111100=>[1,4,2] 0111101=>1011110=>0111101=>[1,4,1,1] 0111110=>0111110=>1111100=>[5,2] 0111111=>1111110=>1111101=>[5,1,1] 1000000=>0000001=>0000010=>[5,1,1] 1000001=>1000001=>0000011=>[5,2] 1000010=>0100001=>1000010=>[1,4,1,1] 1000011=>1100001=>1000011=>[1,4,2] 1000100=>0010001=>0100010=>[1,1,3,1,1] 1000101=>1010001=>0100011=>[1,1,3,2] 1000110=>0110001=>1100010=>[2,3,1,1] 1000111=>1110001=>1100011=>[2,3,2] 1001000=>0001001=>0010010=>[2,1,2,1,1] 1001001=>1001001=>0010011=>[2,1,2,2] 1001010=>0101001=>1010010=>[1,1,1,2,1,1] 1001011=>1101001=>1010011=>[1,1,1,2,2] 1001100=>0011001=>0110010=>[1,2,2,1,1] 1001101=>1011001=>0110011=>[1,2,2,2] 1001110=>0111001=>1110010=>[3,2,1,1] 1001111=>1111001=>1110011=>[3,2,2] 1010000=>0000101=>0001010=>[3,1,1,1,1] 1010001=>1000101=>0001011=>[3,1,1,2] 1010010=>0100101=>1001010=>[1,2,1,1,1,1] 1010011=>1100101=>1001011=>[1,2,1,1,2] 1010100=>0010101=>0101010=>[1,1,1,1,1,1,1] 1010101=>1010101=>0101011=>[1,1,1,1,1,2] 1010110=>0110101=>1101010=>[2,1,1,1,1,1] 1010111=>1110101=>1101011=>[2,1,1,1,2] 1011000=>0001101=>0011010=>[2,2,1,1,1] 1011001=>1001101=>0011011=>[2,2,1,2] 1011010=>0101101=>1011010=>[1,1,2,1,1,1] 1011011=>1101101=>1011011=>[1,1,2,1,2] 1011100=>0011101=>0111010=>[1,3,1,1,1] 1011101=>1011101=>0111011=>[1,3,1,2] 1011110=>0111101=>1111010=>[4,1,1,1] 1011111=>1111101=>1111011=>[4,1,2] 1100000=>0000011=>0000110=>[4,2,1] 1100001=>1000011=>0000111=>[4,3] 1100010=>0100011=>1000110=>[1,3,2,1] 1100011=>1100011=>1000111=>[1,3,3] 1100100=>0010011=>0100110=>[1,1,2,2,1] 1100101=>1010011=>0100111=>[1,1,2,3] 1100110=>0110011=>1100110=>[2,2,2,1] 1100111=>1110011=>1100111=>[2,2,3] 1101000=>0001011=>0010110=>[2,1,1,2,1] 1101001=>1001011=>0010111=>[2,1,1,3] 1101010=>0101011=>1010110=>[1,1,1,1,2,1] 1101011=>1101011=>1010111=>[1,1,1,1,3] 1101100=>0011011=>0110110=>[1,2,1,2,1] 1101101=>1011011=>0110111=>[1,2,1,3] 1101110=>0111011=>1110110=>[3,1,2,1] 1101111=>1111011=>1110111=>[3,1,3] 1110000=>0000111=>0001110=>[3,3,1] 1110001=>1000111=>0001111=>[3,4] 1110010=>0100111=>1001110=>[1,2,3,1] 1110011=>1100111=>1001111=>[1,2,4] 1110100=>0010111=>0101110=>[1,1,1,3,1] 1110101=>1010111=>0101111=>[1,1,1,4] 1110110=>0110111=>1101110=>[2,1,3,1] 1110111=>1110111=>1101111=>[2,1,4] 1111000=>0001111=>0011110=>[2,4,1] 1111001=>1001111=>0011111=>[2,5] 1111010=>0101111=>1011110=>[1,1,4,1] 1111011=>1101111=>1011111=>[1,1,5] 1111100=>0011111=>0111110=>[1,5,1] 1111101=>1011111=>0111111=>[1,6] 1111110=>0111111=>1111110=>[6,1] 1111111=>1111111=>1111111=>[7] 00000000=>00000000=>00000000=>[8] 00000001=>10000000=>00000001=>[7,1] 00000010=>01000000=>10000000=>[1,7] 00000011=>11000000=>10000001=>[1,6,1] 00000100=>00100000=>01000000=>[1,1,6] 00000101=>10100000=>01000001=>[1,1,5,1] 00000110=>01100000=>11000000=>[2,6] 00000111=>11100000=>11000001=>[2,5,1] 00001000=>00010000=>00100000=>[2,1,5] 00001001=>10010000=>00100001=>[2,1,4,1] 00001010=>01010000=>10100000=>[1,1,1,5] 00001011=>11010000=>10100001=>[1,1,1,4,1] 00001100=>00110000=>01100000=>[1,2,5] 00001101=>10110000=>01100001=>[1,2,4,1] 00001110=>01110000=>11100000=>[3,5] 00001111=>11110000=>11100001=>[3,4,1] 00010000=>00001000=>00010000=>[3,1,4] 00010001=>10001000=>00010001=>[3,1,3,1] 00010010=>01001000=>10010000=>[1,2,1,4] 00010011=>11001000=>10010001=>[1,2,1,3,1] 00010100=>00101000=>01010000=>[1,1,1,1,4] 00010101=>10101000=>01010001=>[1,1,1,1,3,1] 00010110=>01101000=>11010000=>[2,1,1,4] 00010111=>11101000=>11010001=>[2,1,1,3,1] 00011000=>00011000=>00110000=>[2,2,4] 00011001=>10011000=>00110001=>[2,2,3,1] 00011010=>01011000=>10110000=>[1,1,2,4] 00011011=>11011000=>10110001=>[1,1,2,3,1] 00011100=>00111000=>01110000=>[1,3,4] 00011101=>10111000=>01110001=>[1,3,3,1] 00011110=>01111000=>11110000=>[4,4] 00011111=>11111000=>11110001=>[4,3,1] 00100000=>00000100=>00001000=>[4,1,3] 00100001=>10000100=>00001001=>[4,1,2,1] 00100010=>01000100=>10001000=>[1,3,1,3] 00100011=>11000100=>10001001=>[1,3,1,2,1] 00100100=>00100100=>01001000=>[1,1,2,1,3] 00100101=>10100100=>01001001=>[1,1,2,1,2,1] 00100110=>01100100=>11001000=>[2,2,1,3] 00100111=>11100100=>11001001=>[2,2,1,2,1] 00101000=>00010100=>00101000=>[2,1,1,1,3] 00101001=>10010100=>00101001=>[2,1,1,1,2,1] 00101010=>01010100=>10101000=>[1,1,1,1,1,3] 00101011=>11010100=>10101001=>[1,1,1,1,1,2,1] 00101100=>00110100=>01101000=>[1,2,1,1,3] 00101101=>10110100=>01101001=>[1,2,1,1,2,1] 00101110=>01110100=>11101000=>[3,1,1,3] 00101111=>11110100=>11101001=>[3,1,1,2,1] 00110000=>00001100=>00011000=>[3,2,3] 00110001=>10001100=>00011001=>[3,2,2,1] 00110010=>01001100=>10011000=>[1,2,2,3] 00110011=>11001100=>10011001=>[1,2,2,2,1] 00110100=>00101100=>01011000=>[1,1,1,2,3] 00110101=>10101100=>01011001=>[1,1,1,2,2,1] 00110110=>01101100=>11011000=>[2,1,2,3] 00110111=>11101100=>11011001=>[2,1,2,2,1] 00111000=>00011100=>00111000=>[2,3,3] 00111001=>10011100=>00111001=>[2,3,2,1] 00111010=>01011100=>10111000=>[1,1,3,3] 00111011=>11011100=>10111001=>[1,1,3,2,1] 00111100=>00111100=>01111000=>[1,4,3] 00111101=>10111100=>01111001=>[1,4,2,1] 00111110=>01111100=>11111000=>[5,3] 00111111=>11111100=>11111001=>[5,2,1] 01000000=>00000010=>00000100=>[5,1,2] 01000001=>10000010=>00000101=>[5,1,1,1] 01000010=>01000010=>10000100=>[1,4,1,2] 01000011=>11000010=>10000101=>[1,4,1,1,1] 01000100=>00100010=>01000100=>[1,1,3,1,2] 01000101=>10100010=>01000101=>[1,1,3,1,1,1] 01000110=>01100010=>11000100=>[2,3,1,2] 01000111=>11100010=>11000101=>[2,3,1,1,1] 01001000=>00010010=>00100100=>[2,1,2,1,2] 01001001=>10010010=>00100101=>[2,1,2,1,1,1] 01001010=>01010010=>10100100=>[1,1,1,2,1,2] 01001011=>11010010=>10100101=>[1,1,1,2,1,1,1] 01001100=>00110010=>01100100=>[1,2,2,1,2] 01001101=>10110010=>01100101=>[1,2,2,1,1,1] 01001110=>01110010=>11100100=>[3,2,1,2] 01001111=>11110010=>11100101=>[3,2,1,1,1] 01010000=>00001010=>00010100=>[3,1,1,1,2] 01010001=>10001010=>00010101=>[3,1,1,1,1,1] 01010010=>01001010=>10010100=>[1,2,1,1,1,2] 01010011=>11001010=>10010101=>[1,2,1,1,1,1,1] 01010100=>00101010=>01010100=>[1,1,1,1,1,1,2] 01010101=>10101010=>01010101=>[1,1,1,1,1,1,1,1] 01010110=>01101010=>11010100=>[2,1,1,1,1,2] 01010111=>11101010=>11010101=>[2,1,1,1,1,1,1] 01011000=>00011010=>00110100=>[2,2,1,1,2] 01011001=>10011010=>00110101=>[2,2,1,1,1,1] 01011010=>01011010=>10110100=>[1,1,2,1,1,2] 01011011=>11011010=>10110101=>[1,1,2,1,1,1,1] 01011100=>00111010=>01110100=>[1,3,1,1,2] 01011101=>10111010=>01110101=>[1,3,1,1,1,1] 01011110=>01111010=>11110100=>[4,1,1,2] 01011111=>11111010=>11110101=>[4,1,1,1,1] 01100000=>00000110=>00001100=>[4,2,2] 01100001=>10000110=>00001101=>[4,2,1,1] 01100010=>01000110=>10001100=>[1,3,2,2] 01100011=>11000110=>10001101=>[1,3,2,1,1] 01100100=>00100110=>01001100=>[1,1,2,2,2] 01100101=>10100110=>01001101=>[1,1,2,2,1,1] 01100110=>01100110=>11001100=>[2,2,2,2] 01100111=>11100110=>11001101=>[2,2,2,1,1] 01101000=>00010110=>00101100=>[2,1,1,2,2] 01101001=>10010110=>00101101=>[2,1,1,2,1,1] 01101010=>01010110=>10101100=>[1,1,1,1,2,2] 01101011=>11010110=>10101101=>[1,1,1,1,2,1,1] 01101100=>00110110=>01101100=>[1,2,1,2,2] 01101101=>10110110=>01101101=>[1,2,1,2,1,1] 01101110=>01110110=>11101100=>[3,1,2,2] 01101111=>11110110=>11101101=>[3,1,2,1,1] 01110000=>00001110=>00011100=>[3,3,2] 01110001=>10001110=>00011101=>[3,3,1,1] 01110010=>01001110=>10011100=>[1,2,3,2] 01110011=>11001110=>10011101=>[1,2,3,1,1] 01110100=>00101110=>01011100=>[1,1,1,3,2] 01110101=>10101110=>01011101=>[1,1,1,3,1,1] 01110110=>01101110=>11011100=>[2,1,3,2] 01110111=>11101110=>11011101=>[2,1,3,1,1] 01111000=>00011110=>00111100=>[2,4,2] 01111001=>10011110=>00111101=>[2,4,1,1] 01111010=>01011110=>10111100=>[1,1,4,2] 01111011=>11011110=>10111101=>[1,1,4,1,1] 01111100=>00111110=>01111100=>[1,5,2] 01111101=>10111110=>01111101=>[1,5,1,1] 01111110=>01111110=>11111100=>[6,2] 01111111=>11111110=>11111101=>[6,1,1] 10000000=>00000001=>00000010=>[6,1,1] 10000001=>10000001=>00000011=>[6,2] 10000010=>01000001=>10000010=>[1,5,1,1] 10000011=>11000001=>10000011=>[1,5,2] 10000100=>00100001=>01000010=>[1,1,4,1,1] 10000101=>10100001=>01000011=>[1,1,4,2] 10000110=>01100001=>11000010=>[2,4,1,1] 10000111=>11100001=>11000011=>[2,4,2] 10001000=>00010001=>00100010=>[2,1,3,1,1] 10001001=>10010001=>00100011=>[2,1,3,2] 10001010=>01010001=>10100010=>[1,1,1,3,1,1] 10001011=>11010001=>10100011=>[1,1,1,3,2] 10001100=>00110001=>01100010=>[1,2,3,1,1] 10001101=>10110001=>01100011=>[1,2,3,2] 10001110=>01110001=>11100010=>[3,3,1,1] 10001111=>11110001=>11100011=>[3,3,2] 10010000=>00001001=>00010010=>[3,1,2,1,1] 10010001=>10001001=>00010011=>[3,1,2,2] 10010010=>01001001=>10010010=>[1,2,1,2,1,1] 10010011=>11001001=>10010011=>[1,2,1,2,2] 10010100=>00101001=>01010010=>[1,1,1,1,2,1,1] 10010101=>10101001=>01010011=>[1,1,1,1,2,2] 10010110=>01101001=>11010010=>[2,1,1,2,1,1] 10010111=>11101001=>11010011=>[2,1,1,2,2] 10011000=>00011001=>00110010=>[2,2,2,1,1] 10011001=>10011001=>00110011=>[2,2,2,2] 10011010=>01011001=>10110010=>[1,1,2,2,1,1] 10011011=>11011001=>10110011=>[1,1,2,2,2] 10011100=>00111001=>01110010=>[1,3,2,1,1] 10011101=>10111001=>01110011=>[1,3,2,2] 10011110=>01111001=>11110010=>[4,2,1,1] 10011111=>11111001=>11110011=>[4,2,2] 10100000=>00000101=>00001010=>[4,1,1,1,1] 10100001=>10000101=>00001011=>[4,1,1,2] 10100010=>01000101=>10001010=>[1,3,1,1,1,1] 10100011=>11000101=>10001011=>[1,3,1,1,2] 10100100=>00100101=>01001010=>[1,1,2,1,1,1,1] 10100101=>10100101=>01001011=>[1,1,2,1,1,2] 10100110=>01100101=>11001010=>[2,2,1,1,1,1] 10100111=>11100101=>11001011=>[2,2,1,1,2] 10101000=>00010101=>00101010=>[2,1,1,1,1,1,1] 10101001=>10010101=>00101011=>[2,1,1,1,1,2] 10101010=>01010101=>10101010=>[1,1,1,1,1,1,1,1] 10101011=>11010101=>10101011=>[1,1,1,1,1,1,2] 10101100=>00110101=>01101010=>[1,2,1,1,1,1,1] 10101101=>10110101=>01101011=>[1,2,1,1,1,2] 10101110=>01110101=>11101010=>[3,1,1,1,1,1] 10101111=>11110101=>11101011=>[3,1,1,1,2] 10110000=>00001101=>00011010=>[3,2,1,1,1] 10110001=>10001101=>00011011=>[3,2,1,2] 10110010=>01001101=>10011010=>[1,2,2,1,1,1] 10110011=>11001101=>10011011=>[1,2,2,1,2] 10110100=>00101101=>01011010=>[1,1,1,2,1,1,1] 10110101=>10101101=>01011011=>[1,1,1,2,1,2] 10110110=>01101101=>11011010=>[2,1,2,1,1,1] 10110111=>11101101=>11011011=>[2,1,2,1,2] 10111000=>00011101=>00111010=>[2,3,1,1,1] 10111001=>10011101=>00111011=>[2,3,1,2] 10111010=>01011101=>10111010=>[1,1,3,1,1,1] 10111011=>11011101=>10111011=>[1,1,3,1,2] 10111100=>00111101=>01111010=>[1,4,1,1,1] 10111101=>10111101=>01111011=>[1,4,1,2] 10111110=>01111101=>11111010=>[5,1,1,1] 10111111=>11111101=>11111011=>[5,1,2] 11000000=>00000011=>00000110=>[5,2,1] 11000001=>10000011=>00000111=>[5,3] 11000010=>01000011=>10000110=>[1,4,2,1] 11000011=>11000011=>10000111=>[1,4,3] 11000100=>00100011=>01000110=>[1,1,3,2,1] 11000101=>10100011=>01000111=>[1,1,3,3] 11000110=>01100011=>11000110=>[2,3,2,1] 11000111=>11100011=>11000111=>[2,3,3] 11001000=>00010011=>00100110=>[2,1,2,2,1] 11001001=>10010011=>00100111=>[2,1,2,3] 11001010=>01010011=>10100110=>[1,1,1,2,2,1] 11001011=>11010011=>10100111=>[1,1,1,2,3] 11001100=>00110011=>01100110=>[1,2,2,2,1] 11001101=>10110011=>01100111=>[1,2,2,3] 11001110=>01110011=>11100110=>[3,2,2,1] 11001111=>11110011=>11100111=>[3,2,3] 11010000=>00001011=>00010110=>[3,1,1,2,1] 11010001=>10001011=>00010111=>[3,1,1,3] 11010010=>01001011=>10010110=>[1,2,1,1,2,1] 11010011=>11001011=>10010111=>[1,2,1,1,3] 11010100=>00101011=>01010110=>[1,1,1,1,1,2,1] 11010101=>10101011=>01010111=>[1,1,1,1,1,3] 11010110=>01101011=>11010110=>[2,1,1,1,2,1] 11010111=>11101011=>11010111=>[2,1,1,1,3] 11011000=>00011011=>00110110=>[2,2,1,2,1] 11011001=>10011011=>00110111=>[2,2,1,3] 11011010=>01011011=>10110110=>[1,1,2,1,2,1] 11011011=>11011011=>10110111=>[1,1,2,1,3] 11011100=>00111011=>01110110=>[1,3,1,2,1] 11011101=>10111011=>01110111=>[1,3,1,3] 11011110=>01111011=>11110110=>[4,1,2,1] 11011111=>11111011=>11110111=>[4,1,3] 11100000=>00000111=>00001110=>[4,3,1] 11100001=>10000111=>00001111=>[4,4] 11100010=>01000111=>10001110=>[1,3,3,1] 11100011=>11000111=>10001111=>[1,3,4] 11100100=>00100111=>01001110=>[1,1,2,3,1] 11100101=>10100111=>01001111=>[1,1,2,4] 11100110=>01100111=>11001110=>[2,2,3,1] 11100111=>11100111=>11001111=>[2,2,4] 11101000=>00010111=>00101110=>[2,1,1,3,1] 11101001=>10010111=>00101111=>[2,1,1,4] 11101010=>01010111=>10101110=>[1,1,1,1,3,1] 11101011=>11010111=>10101111=>[1,1,1,1,4] 11101100=>00110111=>01101110=>[1,2,1,3,1] 11101101=>10110111=>01101111=>[1,2,1,4] 11101110=>01110111=>11101110=>[3,1,3,1] 11101111=>11110111=>11101111=>[3,1,4] 11110000=>00001111=>00011110=>[3,4,1] 11110001=>10001111=>00011111=>[3,5] 11110010=>01001111=>10011110=>[1,2,4,1] 11110011=>11001111=>10011111=>[1,2,5] 11110100=>00101111=>01011110=>[1,1,1,4,1] 11110101=>10101111=>01011111=>[1,1,1,5] 11110110=>01101111=>11011110=>[2,1,4,1] 11110111=>11101111=>11011111=>[2,1,5] 11111000=>00011111=>00111110=>[2,5,1] 11111001=>10011111=>00111111=>[2,6] 11111010=>01011111=>10111110=>[1,1,5,1] 11111011=>11011111=>10111111=>[1,1,6] 11111100=>00111111=>01111110=>[1,6,1] 11111101=>10111111=>01111111=>[1,7] 11111110=>01111111=>11111110=>[7,1] 11111111=>11111111=>11111111=>[8] 000000000=>000000000=>000000000=>[9] 000000001=>100000000=>000000001=>[8,1] 000000010=>010000000=>100000000=>[1,8] 000000011=>110000000=>100000001=>[1,7,1] 000000100=>001000000=>010000000=>[1,1,7] 000000101=>101000000=>010000001=>[1,1,6,1] 000000110=>011000000=>110000000=>[2,7] 000000111=>111000000=>110000001=>[2,6,1] 000001000=>000100000=>001000000=>[2,1,6] 000001001=>100100000=>001000001=>[2,1,5,1] 000001010=>010100000=>101000000=>[1,1,1,6] 000001011=>110100000=>101000001=>[1,1,1,5,1] 000001100=>001100000=>011000000=>[1,2,6] 000001101=>101100000=>011000001=>[1,2,5,1] 000001110=>011100000=>111000000=>[3,6] 000001111=>111100000=>111000001=>[3,5,1] 000010000=>000010000=>000100000=>[3,1,5] 000010001=>100010000=>000100001=>[3,1,4,1] 000010010=>010010000=>100100000=>[1,2,1,5] 000010011=>110010000=>100100001=>[1,2,1,4,1] 000010100=>001010000=>010100000=>[1,1,1,1,5] 000010101=>101010000=>010100001=>[1,1,1,1,4,1] 000010110=>011010000=>110100000=>[2,1,1,5] 000010111=>111010000=>110100001=>[2,1,1,4,1] 000011000=>000110000=>001100000=>[2,2,5] 000011001=>100110000=>001100001=>[2,2,4,1] 000011010=>010110000=>101100000=>[1,1,2,5] 000011011=>110110000=>101100001=>[1,1,2,4,1] 000011100=>001110000=>011100000=>[1,3,5] 000011101=>101110000=>011100001=>[1,3,4,1] 000011110=>011110000=>111100000=>[4,5] 000011111=>111110000=>111100001=>[4,4,1] 000100000=>000001000=>000010000=>[4,1,4] 000100001=>100001000=>000010001=>[4,1,3,1] 000100010=>010001000=>100010000=>[1,3,1,4] 000100011=>110001000=>100010001=>[1,3,1,3,1] 000100100=>001001000=>010010000=>[1,1,2,1,4] 000100101=>101001000=>010010001=>[1,1,2,1,3,1] 000100110=>011001000=>110010000=>[2,2,1,4] 000100111=>111001000=>110010001=>[2,2,1,3,1] 000101000=>000101000=>001010000=>[2,1,1,1,4] 000101001=>100101000=>001010001=>[2,1,1,1,3,1] 000101010=>010101000=>101010000=>[1,1,1,1,1,4] 000101011=>110101000=>101010001=>[1,1,1,1,1,3,1] 000101100=>001101000=>011010000=>[1,2,1,1,4] 000101101=>101101000=>011010001=>[1,2,1,1,3,1] 000101110=>011101000=>111010000=>[3,1,1,4] 000101111=>111101000=>111010001=>[3,1,1,3,1] 000110000=>000011000=>000110000=>[3,2,4] 000110001=>100011000=>000110001=>[3,2,3,1] 000110010=>010011000=>100110000=>[1,2,2,4] 000110011=>110011000=>100110001=>[1,2,2,3,1] 000110100=>001011000=>010110000=>[1,1,1,2,4] 000110101=>101011000=>010110001=>[1,1,1,2,3,1] 000110110=>011011000=>110110000=>[2,1,2,4] 000110111=>111011000=>110110001=>[2,1,2,3,1] 000111000=>000111000=>001110000=>[2,3,4] 000111001=>100111000=>001110001=>[2,3,3,1] 000111010=>010111000=>101110000=>[1,1,3,4] 000111011=>110111000=>101110001=>[1,1,3,3,1] 000111100=>001111000=>011110000=>[1,4,4] 000111101=>101111000=>011110001=>[1,4,3,1] 000111110=>011111000=>111110000=>[5,4] 000111111=>111111000=>111110001=>[5,3,1] 001000000=>000000100=>000001000=>[5,1,3] 001000001=>100000100=>000001001=>[5,1,2,1] 001000010=>010000100=>100001000=>[1,4,1,3] 001000011=>110000100=>100001001=>[1,4,1,2,1] 001000100=>001000100=>010001000=>[1,1,3,1,3] 001000101=>101000100=>010001001=>[1,1,3,1,2,1] 001000110=>011000100=>110001000=>[2,3,1,3] 001000111=>111000100=>110001001=>[2,3,1,2,1] 001001000=>000100100=>001001000=>[2,1,2,1,3] 001001001=>100100100=>001001001=>[2,1,2,1,2,1] 001001010=>010100100=>101001000=>[1,1,1,2,1,3] 001001011=>110100100=>101001001=>[1,1,1,2,1,2,1] 001001100=>001100100=>011001000=>[1,2,2,1,3] 001001101=>101100100=>011001001=>[1,2,2,1,2,1] 001001110=>011100100=>111001000=>[3,2,1,3] 001001111=>111100100=>111001001=>[3,2,1,2,1] 001010000=>000010100=>000101000=>[3,1,1,1,3] 001010001=>100010100=>000101001=>[3,1,1,1,2,1] 001010010=>010010100=>100101000=>[1,2,1,1,1,3] 001010011=>110010100=>100101001=>[1,2,1,1,1,2,1] 001010100=>001010100=>010101000=>[1,1,1,1,1,1,3] 001010101=>101010100=>010101001=>[1,1,1,1,1,1,2,1] 001010110=>011010100=>110101000=>[2,1,1,1,1,3] 001010111=>111010100=>110101001=>[2,1,1,1,1,2,1] 001011000=>000110100=>001101000=>[2,2,1,1,3] 001011001=>100110100=>001101001=>[2,2,1,1,2,1] 001011010=>010110100=>101101000=>[1,1,2,1,1,3] 001011011=>110110100=>101101001=>[1,1,2,1,1,2,1] 001011100=>001110100=>011101000=>[1,3,1,1,3] 001011101=>101110100=>011101001=>[1,3,1,1,2,1] 001011110=>011110100=>111101000=>[4,1,1,3] 001011111=>111110100=>111101001=>[4,1,1,2,1] 001100000=>000001100=>000011000=>[4,2,3] 001100001=>100001100=>000011001=>[4,2,2,1] 001100010=>010001100=>100011000=>[1,3,2,3] 001100011=>110001100=>100011001=>[1,3,2,2,1] 001100100=>001001100=>010011000=>[1,1,2,2,3] 001100101=>101001100=>010011001=>[1,1,2,2,2,1] 001100110=>011001100=>110011000=>[2,2,2,3] 001100111=>111001100=>110011001=>[2,2,2,2,1] 001101000=>000101100=>001011000=>[2,1,1,2,3] 001101001=>100101100=>001011001=>[2,1,1,2,2,1] 001101010=>010101100=>101011000=>[1,1,1,1,2,3] 001101011=>110101100=>101011001=>[1,1,1,1,2,2,1] 001101100=>001101100=>011011000=>[1,2,1,2,3] 001101101=>101101100=>011011001=>[1,2,1,2,2,1] 001101110=>011101100=>111011000=>[3,1,2,3] 001101111=>111101100=>111011001=>[3,1,2,2,1] 001110000=>000011100=>000111000=>[3,3,3] 001110001=>100011100=>000111001=>[3,3,2,1] 001110010=>010011100=>100111000=>[1,2,3,3] 001110011=>110011100=>100111001=>[1,2,3,2,1] 001110100=>001011100=>010111000=>[1,1,1,3,3] 001110101=>101011100=>010111001=>[1,1,1,3,2,1] 001110110=>011011100=>110111000=>[2,1,3,3] 001110111=>111011100=>110111001=>[2,1,3,2,1] 001111000=>000111100=>001111000=>[2,4,3] 001111001=>100111100=>001111001=>[2,4,2,1] 001111010=>010111100=>101111000=>[1,1,4,3] 001111011=>110111100=>101111001=>[1,1,4,2,1] 001111100=>001111100=>011111000=>[1,5,3] 001111101=>101111100=>011111001=>[1,5,2,1] 001111110=>011111100=>111111000=>[6,3] 001111111=>111111100=>111111001=>[6,2,1] 010000000=>000000010=>000000100=>[6,1,2] 010000001=>100000010=>000000101=>[6,1,1,1] 010000010=>010000010=>100000100=>[1,5,1,2] 010000011=>110000010=>100000101=>[1,5,1,1,1] 010000100=>001000010=>010000100=>[1,1,4,1,2] 010000101=>101000010=>010000101=>[1,1,4,1,1,1] 010000110=>011000010=>110000100=>[2,4,1,2] 010000111=>111000010=>110000101=>[2,4,1,1,1] 010001000=>000100010=>001000100=>[2,1,3,1,2] 010001001=>100100010=>001000101=>[2,1,3,1,1,1] 010001010=>010100010=>101000100=>[1,1,1,3,1,2] 010001011=>110100010=>101000101=>[1,1,1,3,1,1,1] 010001100=>001100010=>011000100=>[1,2,3,1,2] 010001101=>101100010=>011000101=>[1,2,3,1,1,1] 010001110=>011100010=>111000100=>[3,3,1,2] 010001111=>111100010=>111000101=>[3,3,1,1,1] 010010000=>000010010=>000100100=>[3,1,2,1,2] 010010001=>100010010=>000100101=>[3,1,2,1,1,1] 010010010=>010010010=>100100100=>[1,2,1,2,1,2] 010010011=>110010010=>100100101=>[1,2,1,2,1,1,1] 010010100=>001010010=>010100100=>[1,1,1,1,2,1,2] 010010101=>101010010=>010100101=>[1,1,1,1,2,1,1,1] 010010110=>011010010=>110100100=>[2,1,1,2,1,2] 010010111=>111010010=>110100101=>[2,1,1,2,1,1,1] 010011000=>000110010=>001100100=>[2,2,2,1,2] 010011001=>100110010=>001100101=>[2,2,2,1,1,1] 010011010=>010110010=>101100100=>[1,1,2,2,1,2] 010011011=>110110010=>101100101=>[1,1,2,2,1,1,1] 010011100=>001110010=>011100100=>[1,3,2,1,2] 010011101=>101110010=>011100101=>[1,3,2,1,1,1] 010011110=>011110010=>111100100=>[4,2,1,2] 010011111=>111110010=>111100101=>[4,2,1,1,1] 010100000=>000001010=>000010100=>[4,1,1,1,2] 010100001=>100001010=>000010101=>[4,1,1,1,1,1] 010100010=>010001010=>100010100=>[1,3,1,1,1,2] 010100011=>110001010=>100010101=>[1,3,1,1,1,1,1] 010100100=>001001010=>010010100=>[1,1,2,1,1,1,2] 010100101=>101001010=>010010101=>[1,1,2,1,1,1,1,1] 010100110=>011001010=>110010100=>[2,2,1,1,1,2] 010100111=>111001010=>110010101=>[2,2,1,1,1,1,1] 010101000=>000101010=>001010100=>[2,1,1,1,1,1,2] 010101001=>100101010=>001010101=>[2,1,1,1,1,1,1,1] 010101010=>010101010=>101010100=>[1,1,1,1,1,1,1,2] 010101011=>110101010=>101010101=>[1,1,1,1,1,1,1,1,1] 010101100=>001101010=>011010100=>[1,2,1,1,1,1,2] 010101101=>101101010=>011010101=>[1,2,1,1,1,1,1,1] 010101110=>011101010=>111010100=>[3,1,1,1,1,2] 010101111=>111101010=>111010101=>[3,1,1,1,1,1,1] 010110000=>000011010=>000110100=>[3,2,1,1,2] 010110001=>100011010=>000110101=>[3,2,1,1,1,1] 010110010=>010011010=>100110100=>[1,2,2,1,1,2] 010110011=>110011010=>100110101=>[1,2,2,1,1,1,1] 010110100=>001011010=>010110100=>[1,1,1,2,1,1,2] 010110101=>101011010=>010110101=>[1,1,1,2,1,1,1,1] 010110110=>011011010=>110110100=>[2,1,2,1,1,2] 010110111=>111011010=>110110101=>[2,1,2,1,1,1,1] 010111000=>000111010=>001110100=>[2,3,1,1,2] 010111001=>100111010=>001110101=>[2,3,1,1,1,1] 010111010=>010111010=>101110100=>[1,1,3,1,1,2] 010111011=>110111010=>101110101=>[1,1,3,1,1,1,1] 010111100=>001111010=>011110100=>[1,4,1,1,2] 010111101=>101111010=>011110101=>[1,4,1,1,1,1] 010111110=>011111010=>111110100=>[5,1,1,2] 010111111=>111111010=>111110101=>[5,1,1,1,1] 011000000=>000000110=>000001100=>[5,2,2] 011000001=>100000110=>000001101=>[5,2,1,1] 011000010=>010000110=>100001100=>[1,4,2,2] 011000011=>110000110=>100001101=>[1,4,2,1,1] 011000100=>001000110=>010001100=>[1,1,3,2,2] 011000101=>101000110=>010001101=>[1,1,3,2,1,1] 011000110=>011000110=>110001100=>[2,3,2,2] 011000111=>111000110=>110001101=>[2,3,2,1,1] 011001000=>000100110=>001001100=>[2,1,2,2,2] 011001001=>100100110=>001001101=>[2,1,2,2,1,1] 011001010=>010100110=>101001100=>[1,1,1,2,2,2] 011001011=>110100110=>101001101=>[1,1,1,2,2,1,1] 011001100=>001100110=>011001100=>[1,2,2,2,2] 011001101=>101100110=>011001101=>[1,2,2,2,1,1] 011001110=>011100110=>111001100=>[3,2,2,2] 011001111=>111100110=>111001101=>[3,2,2,1,1] 011010000=>000010110=>000101100=>[3,1,1,2,2] 011010001=>100010110=>000101101=>[3,1,1,2,1,1] 011010010=>010010110=>100101100=>[1,2,1,1,2,2] 011010011=>110010110=>100101101=>[1,2,1,1,2,1,1] 011010100=>001010110=>010101100=>[1,1,1,1,1,2,2] 011010101=>101010110=>010101101=>[1,1,1,1,1,2,1,1] 011010110=>011010110=>110101100=>[2,1,1,1,2,2] 011010111=>111010110=>110101101=>[2,1,1,1,2,1,1] 011011000=>000110110=>001101100=>[2,2,1,2,2] 011011001=>100110110=>001101101=>[2,2,1,2,1,1] 011011010=>010110110=>101101100=>[1,1,2,1,2,2] 011011011=>110110110=>101101101=>[1,1,2,1,2,1,1] 011011100=>001110110=>011101100=>[1,3,1,2,2] 011011101=>101110110=>011101101=>[1,3,1,2,1,1] 011011110=>011110110=>111101100=>[4,1,2,2] 011011111=>111110110=>111101101=>[4,1,2,1,1] 011100000=>000001110=>000011100=>[4,3,2] 011100001=>100001110=>000011101=>[4,3,1,1] 011100010=>010001110=>100011100=>[1,3,3,2] 011100011=>110001110=>100011101=>[1,3,3,1,1] 011100100=>001001110=>010011100=>[1,1,2,3,2] 011100101=>101001110=>010011101=>[1,1,2,3,1,1] 011100110=>011001110=>110011100=>[2,2,3,2] 011100111=>111001110=>110011101=>[2,2,3,1,1] 011101000=>000101110=>001011100=>[2,1,1,3,2] 011101001=>100101110=>001011101=>[2,1,1,3,1,1] 011101010=>010101110=>101011100=>[1,1,1,1,3,2] 011101011=>110101110=>101011101=>[1,1,1,1,3,1,1] 011101100=>001101110=>011011100=>[1,2,1,3,2] 011101101=>101101110=>011011101=>[1,2,1,3,1,1] 011101110=>011101110=>111011100=>[3,1,3,2] 011101111=>111101110=>111011101=>[3,1,3,1,1] 011110000=>000011110=>000111100=>[3,4,2] 011110001=>100011110=>000111101=>[3,4,1,1] 011110010=>010011110=>100111100=>[1,2,4,2] 011110011=>110011110=>100111101=>[1,2,4,1,1] 011110100=>001011110=>010111100=>[1,1,1,4,2] 011110101=>101011110=>010111101=>[1,1,1,4,1,1] 011110110=>011011110=>110111100=>[2,1,4,2] 011110111=>111011110=>110111101=>[2,1,4,1,1] 011111000=>000111110=>001111100=>[2,5,2] 011111001=>100111110=>001111101=>[2,5,1,1] 011111010=>010111110=>101111100=>[1,1,5,2] 011111011=>110111110=>101111101=>[1,1,5,1,1] 011111100=>001111110=>011111100=>[1,6,2] 011111101=>101111110=>011111101=>[1,6,1,1] 011111110=>011111110=>111111100=>[7,2] 011111111=>111111110=>111111101=>[7,1,1] 100000000=>000000001=>000000010=>[7,1,1] 100000001=>100000001=>000000011=>[7,2] 100000010=>010000001=>100000010=>[1,6,1,1] 100000011=>110000001=>100000011=>[1,6,2] 100000100=>001000001=>010000010=>[1,1,5,1,1] 100000101=>101000001=>010000011=>[1,1,5,2] 100000110=>011000001=>110000010=>[2,5,1,1] 100000111=>111000001=>110000011=>[2,5,2] 100001000=>000100001=>001000010=>[2,1,4,1,1] 100001001=>100100001=>001000011=>[2,1,4,2] 100001010=>010100001=>101000010=>[1,1,1,4,1,1] 100001011=>110100001=>101000011=>[1,1,1,4,2] 100001100=>001100001=>011000010=>[1,2,4,1,1] 100001101=>101100001=>011000011=>[1,2,4,2] 100001110=>011100001=>111000010=>[3,4,1,1] 100001111=>111100001=>111000011=>[3,4,2] 100010000=>000010001=>000100010=>[3,1,3,1,1] 100010001=>100010001=>000100011=>[3,1,3,2] 100010010=>010010001=>100100010=>[1,2,1,3,1,1] 100010011=>110010001=>100100011=>[1,2,1,3,2] 100010100=>001010001=>010100010=>[1,1,1,1,3,1,1] 100010101=>101010001=>010100011=>[1,1,1,1,3,2] 100010110=>011010001=>110100010=>[2,1,1,3,1,1] 100010111=>111010001=>110100011=>[2,1,1,3,2] 100011000=>000110001=>001100010=>[2,2,3,1,1] 100011001=>100110001=>001100011=>[2,2,3,2] 100011010=>010110001=>101100010=>[1,1,2,3,1,1] 100011011=>110110001=>101100011=>[1,1,2,3,2] 100011100=>001110001=>011100010=>[1,3,3,1,1] 100011101=>101110001=>011100011=>[1,3,3,2] 100011110=>011110001=>111100010=>[4,3,1,1] 100011111=>111110001=>111100011=>[4,3,2] 100100000=>000001001=>000010010=>[4,1,2,1,1] 100100001=>100001001=>000010011=>[4,1,2,2] 100100010=>010001001=>100010010=>[1,3,1,2,1,1] 100100011=>110001001=>100010011=>[1,3,1,2,2] 100100100=>001001001=>010010010=>[1,1,2,1,2,1,1] 100100101=>101001001=>010010011=>[1,1,2,1,2,2] 100100110=>011001001=>110010010=>[2,2,1,2,1,1] 100100111=>111001001=>110010011=>[2,2,1,2,2] 100101000=>000101001=>001010010=>[2,1,1,1,2,1,1] 100101001=>100101001=>001010011=>[2,1,1,1,2,2] 100101010=>010101001=>101010010=>[1,1,1,1,1,2,1,1] 100101011=>110101001=>101010011=>[1,1,1,1,1,2,2] 100101100=>001101001=>011010010=>[1,2,1,1,2,1,1] 100101101=>101101001=>011010011=>[1,2,1,1,2,2] 100101110=>011101001=>111010010=>[3,1,1,2,1,1] 100101111=>111101001=>111010011=>[3,1,1,2,2] 100110000=>000011001=>000110010=>[3,2,2,1,1] 100110001=>100011001=>000110011=>[3,2,2,2] 100110010=>010011001=>100110010=>[1,2,2,2,1,1] 100110011=>110011001=>100110011=>[1,2,2,2,2] 100110100=>001011001=>010110010=>[1,1,1,2,2,1,1] 100110101=>101011001=>010110011=>[1,1,1,2,2,2] 100110110=>011011001=>110110010=>[2,1,2,2,1,1] 100110111=>111011001=>110110011=>[2,1,2,2,2] 100111000=>000111001=>001110010=>[2,3,2,1,1] 100111001=>100111001=>001110011=>[2,3,2,2] 100111010=>010111001=>101110010=>[1,1,3,2,1,1] 100111011=>110111001=>101110011=>[1,1,3,2,2] 100111100=>001111001=>011110010=>[1,4,2,1,1] 100111101=>101111001=>011110011=>[1,4,2,2] 100111110=>011111001=>111110010=>[5,2,1,1] 100111111=>111111001=>111110011=>[5,2,2] 101000000=>000000101=>000001010=>[5,1,1,1,1] 101000001=>100000101=>000001011=>[5,1,1,2] 101000010=>010000101=>100001010=>[1,4,1,1,1,1] 101000011=>110000101=>100001011=>[1,4,1,1,2] 101000100=>001000101=>010001010=>[1,1,3,1,1,1,1] 101000101=>101000101=>010001011=>[1,1,3,1,1,2] 101000110=>011000101=>110001010=>[2,3,1,1,1,1] 101000111=>111000101=>110001011=>[2,3,1,1,2] 101001000=>000100101=>001001010=>[2,1,2,1,1,1,1] 101001001=>100100101=>001001011=>[2,1,2,1,1,2] 101001010=>010100101=>101001010=>[1,1,1,2,1,1,1,1] 101001011=>110100101=>101001011=>[1,1,1,2,1,1,2] 101001100=>001100101=>011001010=>[1,2,2,1,1,1,1] 101001101=>101100101=>011001011=>[1,2,2,1,1,2] 101001110=>011100101=>111001010=>[3,2,1,1,1,1] 101001111=>111100101=>111001011=>[3,2,1,1,2] 101010000=>000010101=>000101010=>[3,1,1,1,1,1,1] 101010001=>100010101=>000101011=>[3,1,1,1,1,2] 101010010=>010010101=>100101010=>[1,2,1,1,1,1,1,1] 101010011=>110010101=>100101011=>[1,2,1,1,1,1,2] 101010100=>001010101=>010101010=>[1,1,1,1,1,1,1,1,1] 101010101=>101010101=>010101011=>[1,1,1,1,1,1,1,2] 101010110=>011010101=>110101010=>[2,1,1,1,1,1,1,1] 101010111=>111010101=>110101011=>[2,1,1,1,1,1,2] 101011000=>000110101=>001101010=>[2,2,1,1,1,1,1] 101011001=>100110101=>001101011=>[2,2,1,1,1,2] 101011010=>010110101=>101101010=>[1,1,2,1,1,1,1,1] 101011011=>110110101=>101101011=>[1,1,2,1,1,1,2] 101011100=>001110101=>011101010=>[1,3,1,1,1,1,1] 101011101=>101110101=>011101011=>[1,3,1,1,1,2] 101011110=>011110101=>111101010=>[4,1,1,1,1,1] 101011111=>111110101=>111101011=>[4,1,1,1,2] 101100000=>000001101=>000011010=>[4,2,1,1,1] 101100001=>100001101=>000011011=>[4,2,1,2] 101100010=>010001101=>100011010=>[1,3,2,1,1,1] 101100011=>110001101=>100011011=>[1,3,2,1,2] 101100100=>001001101=>010011010=>[1,1,2,2,1,1,1] 101100101=>101001101=>010011011=>[1,1,2,2,1,2] 101100110=>011001101=>110011010=>[2,2,2,1,1,1] 101100111=>111001101=>110011011=>[2,2,2,1,2] 101101000=>000101101=>001011010=>[2,1,1,2,1,1,1] 101101001=>100101101=>001011011=>[2,1,1,2,1,2] 101101010=>010101101=>101011010=>[1,1,1,1,2,1,1,1] 101101011=>110101101=>101011011=>[1,1,1,1,2,1,2] 101101100=>001101101=>011011010=>[1,2,1,2,1,1,1] 101101101=>101101101=>011011011=>[1,2,1,2,1,2] 101101110=>011101101=>111011010=>[3,1,2,1,1,1] 101101111=>111101101=>111011011=>[3,1,2,1,2] 101110000=>000011101=>000111010=>[3,3,1,1,1] 101110001=>100011101=>000111011=>[3,3,1,2] 101110010=>010011101=>100111010=>[1,2,3,1,1,1] 101110011=>110011101=>100111011=>[1,2,3,1,2] 101110100=>001011101=>010111010=>[1,1,1,3,1,1,1] 101110101=>101011101=>010111011=>[1,1,1,3,1,2] 101110110=>011011101=>110111010=>[2,1,3,1,1,1] 101110111=>111011101=>110111011=>[2,1,3,1,2] 101111000=>000111101=>001111010=>[2,4,1,1,1] 101111001=>100111101=>001111011=>[2,4,1,2] 101111010=>010111101=>101111010=>[1,1,4,1,1,1] 101111011=>110111101=>101111011=>[1,1,4,1,2] 101111100=>001111101=>011111010=>[1,5,1,1,1] 101111101=>101111101=>011111011=>[1,5,1,2] 101111110=>011111101=>111111010=>[6,1,1,1] 101111111=>111111101=>111111011=>[6,1,2] 110000000=>000000011=>000000110=>[6,2,1] 110000001=>100000011=>000000111=>[6,3] 110000010=>010000011=>100000110=>[1,5,2,1] 110000011=>110000011=>100000111=>[1,5,3] 110000100=>001000011=>010000110=>[1,1,4,2,1] 110000101=>101000011=>010000111=>[1,1,4,3] 110000110=>011000011=>110000110=>[2,4,2,1] 110000111=>111000011=>110000111=>[2,4,3] 110001000=>000100011=>001000110=>[2,1,3,2,1] 110001001=>100100011=>001000111=>[2,1,3,3] 110001010=>010100011=>101000110=>[1,1,1,3,2,1] 110001011=>110100011=>101000111=>[1,1,1,3,3] 110001100=>001100011=>011000110=>[1,2,3,2,1] 110001101=>101100011=>011000111=>[1,2,3,3] 110001110=>011100011=>111000110=>[3,3,2,1] 110001111=>111100011=>111000111=>[3,3,3] 110010000=>000010011=>000100110=>[3,1,2,2,1] 110010001=>100010011=>000100111=>[3,1,2,3] 110010010=>010010011=>100100110=>[1,2,1,2,2,1] 110010011=>110010011=>100100111=>[1,2,1,2,3] 110010100=>001010011=>010100110=>[1,1,1,1,2,2,1] 110010101=>101010011=>010100111=>[1,1,1,1,2,3] 110010110=>011010011=>110100110=>[2,1,1,2,2,1] 110010111=>111010011=>110100111=>[2,1,1,2,3] 110011000=>000110011=>001100110=>[2,2,2,2,1] 110011001=>100110011=>001100111=>[2,2,2,3] 110011010=>010110011=>101100110=>[1,1,2,2,2,1] 110011011=>110110011=>101100111=>[1,1,2,2,3] 110011100=>001110011=>011100110=>[1,3,2,2,1] 110011101=>101110011=>011100111=>[1,3,2,3] 110011110=>011110011=>111100110=>[4,2,2,1] 110011111=>111110011=>111100111=>[4,2,3] 110100000=>000001011=>000010110=>[4,1,1,2,1] 110100001=>100001011=>000010111=>[4,1,1,3] 110100010=>010001011=>100010110=>[1,3,1,1,2,1] 110100011=>110001011=>100010111=>[1,3,1,1,3] 110100100=>001001011=>010010110=>[1,1,2,1,1,2,1] 110100101=>101001011=>010010111=>[1,1,2,1,1,3] 110100110=>011001011=>110010110=>[2,2,1,1,2,1] 110100111=>111001011=>110010111=>[2,2,1,1,3] 110101000=>000101011=>001010110=>[2,1,1,1,1,2,1] 110101001=>100101011=>001010111=>[2,1,1,1,1,3] 110101010=>010101011=>101010110=>[1,1,1,1,1,1,2,1] 110101011=>110101011=>101010111=>[1,1,1,1,1,1,3] 110101100=>001101011=>011010110=>[1,2,1,1,1,2,1] 110101101=>101101011=>011010111=>[1,2,1,1,1,3] 110101110=>011101011=>111010110=>[3,1,1,1,2,1] 110101111=>111101011=>111010111=>[3,1,1,1,3] 110110000=>000011011=>000110110=>[3,2,1,2,1] 110110001=>100011011=>000110111=>[3,2,1,3] 110110010=>010011011=>100110110=>[1,2,2,1,2,1] 110110011=>110011011=>100110111=>[1,2,2,1,3] 110110100=>001011011=>010110110=>[1,1,1,2,1,2,1] 110110101=>101011011=>010110111=>[1,1,1,2,1,3] 110110110=>011011011=>110110110=>[2,1,2,1,2,1] 110110111=>111011011=>110110111=>[2,1,2,1,3] 110111000=>000111011=>001110110=>[2,3,1,2,1] 110111001=>100111011=>001110111=>[2,3,1,3] 110111010=>010111011=>101110110=>[1,1,3,1,2,1] 110111011=>110111011=>101110111=>[1,1,3,1,3] 110111100=>001111011=>011110110=>[1,4,1,2,1] 110111101=>101111011=>011110111=>[1,4,1,3] 110111110=>011111011=>111110110=>[5,1,2,1] 110111111=>111111011=>111110111=>[5,1,3] 111000000=>000000111=>000001110=>[5,3,1] 111000001=>100000111=>000001111=>[5,4] 111000010=>010000111=>100001110=>[1,4,3,1] 111000011=>110000111=>100001111=>[1,4,4] 111000100=>001000111=>010001110=>[1,1,3,3,1] 111000101=>101000111=>010001111=>[1,1,3,4] 111000110=>011000111=>110001110=>[2,3,3,1] 111000111=>111000111=>110001111=>[2,3,4] 111001000=>000100111=>001001110=>[2,1,2,3,1] 111001001=>100100111=>001001111=>[2,1,2,4] 111001010=>010100111=>101001110=>[1,1,1,2,3,1] 111001011=>110100111=>101001111=>[1,1,1,2,4] 111001100=>001100111=>011001110=>[1,2,2,3,1] 111001101=>101100111=>011001111=>[1,2,2,4] 111001110=>011100111=>111001110=>[3,2,3,1] 111001111=>111100111=>111001111=>[3,2,4] 111010000=>000010111=>000101110=>[3,1,1,3,1] 111010001=>100010111=>000101111=>[3,1,1,4] 111010010=>010010111=>100101110=>[1,2,1,1,3,1] 111010011=>110010111=>100101111=>[1,2,1,1,4] 111010100=>001010111=>010101110=>[1,1,1,1,1,3,1] 111010101=>101010111=>010101111=>[1,1,1,1,1,4] 111010110=>011010111=>110101110=>[2,1,1,1,3,1] 111010111=>111010111=>110101111=>[2,1,1,1,4] 111011000=>000110111=>001101110=>[2,2,1,3,1] 111011001=>100110111=>001101111=>[2,2,1,4] 111011010=>010110111=>101101110=>[1,1,2,1,3,1] 111011011=>110110111=>101101111=>[1,1,2,1,4] 111011100=>001110111=>011101110=>[1,3,1,3,1] 111011101=>101110111=>011101111=>[1,3,1,4] 111011110=>011110111=>111101110=>[4,1,3,1] 111011111=>111110111=>111101111=>[4,1,4] 111100000=>000001111=>000011110=>[4,4,1] 111100001=>100001111=>000011111=>[4,5] 111100010=>010001111=>100011110=>[1,3,4,1] 111100011=>110001111=>100011111=>[1,3,5] 111100100=>001001111=>010011110=>[1,1,2,4,1] 111100101=>101001111=>010011111=>[1,1,2,5] 111100110=>011001111=>110011110=>[2,2,4,1] 111100111=>111001111=>110011111=>[2,2,5] 111101000=>000101111=>001011110=>[2,1,1,4,1] 111101001=>100101111=>001011111=>[2,1,1,5] 111101010=>010101111=>101011110=>[1,1,1,1,4,1] 111101011=>110101111=>101011111=>[1,1,1,1,5] 111101100=>001101111=>011011110=>[1,2,1,4,1] 111101101=>101101111=>011011111=>[1,2,1,5] 111101110=>011101111=>111011110=>[3,1,4,1] 111101111=>111101111=>111011111=>[3,1,5] 111110000=>000011111=>000111110=>[3,5,1] 111110001=>100011111=>000111111=>[3,6] 111110010=>010011111=>100111110=>[1,2,5,1] 111110011=>110011111=>100111111=>[1,2,6] 111110100=>001011111=>010111110=>[1,1,1,5,1] 111110101=>101011111=>010111111=>[1,1,1,6] 111110110=>011011111=>110111110=>[2,1,5,1] 111110111=>111011111=>110111111=>[2,1,6] 111111000=>000111111=>001111110=>[2,6,1] 111111001=>100111111=>001111111=>[2,7] 111111010=>010111111=>101111110=>[1,1,6,1] 111111011=>110111111=>101111111=>[1,1,7] 111111100=>001111111=>011111110=>[1,7,1] 111111101=>101111111=>011111111=>[1,8] 111111110=>011111111=>111111110=>[8,1] 111111111=>111111111=>111111111=>[9] 1010101010=>0101010101=>1010101010=>[1,1,1,1,1,1,1,1,1,1] 1110100010=>0100010111=>1000101110=>[1,3,1,1,3,1] 1111000010=>0100001111=>1000011110=>[1,4,4,1] 1111010000=>0000101111=>0001011110=>[3,1,1,4,1] 1111100000=>0000011111=>0000111110=>[4,5,1] 101010101010=>010101010101=>101010101010=>[1,1,1,1,1,1,1,1,1,1,1,1] 1111111111=>1111111111=>1111111111=>[10] 1111111110=>0111111111=>1111111110=>[9,1] 1111111001=>1001111111=>0011111111=>[2,8] 1111110111=>1110111111=>1101111111=>[2,1,7] 1111110110=>0110111111=>1101111110=>[2,1,6,1] 1111110000=>0000111111=>0001111110=>[3,6,1] 1111101101=>1011011111=>0110111111=>[1,2,1,6] 1111100111=>1110011111=>1100111111=>[2,2,6] 1111100001=>1000011111=>0000111111=>[4,6] 1111011000=>0001101111=>0011011110=>[2,2,1,4,1] 1111010010=>0100101111=>1001011110=>[1,2,1,1,4,1] 1110111101=>1011110111=>0111101111=>[1,4,1,4] 1110111000=>0001110111=>0011101110=>[2,3,1,3,1] 1110110001=>1000110111=>0001101111=>[3,2,1,4] 1110100101=>1010010111=>0100101111=>[1,1,2,1,1,4] 1110011001=>1001100111=>0011001111=>[2,2,2,4] 1110000111=>1110000111=>1100001111=>[2,4,4] 1100011000=>0001100011=>0011000110=>[2,2,3,2,1] 1100010111=>1110100011=>1101000111=>[2,1,1,3,3] 1100001111=>1111000011=>1110000111=>[3,4,3] 1100000111=>1110000011=>1100000111=>[2,5,3] 1100000110=>0110000011=>1100000110=>[2,5,2,1] 1011100101=>1010011101=>0100111011=>[1,1,2,3,1,2] 1011001101=>1011001101=>0110011011=>[1,2,2,2,1,2] 1011000001=>1000001101=>0000011011=>[5,2,1,2] 1010110001=>1000110101=>0001101011=>[3,2,1,1,1,2] 1010101101=>1011010101=>0110101011=>[1,2,1,1,1,1,1,2] 1010100110=>0110010101=>1100101010=>[2,2,1,1,1,1,1,1] 1010100010=>0100010101=>1000101010=>[1,3,1,1,1,1,1,1] 1010011110=>0111100101=>1111001010=>[4,2,1,1,1,1] 1010010001=>1000100101=>0001001011=>[3,1,2,1,1,2] 1010001010=>0101000101=>1010001010=>[1,1,1,3,1,1,1,1] 1010000101=>1010000101=>0100001011=>[1,1,4,1,1,2] 1001111001=>1001111001=>0011110011=>[2,4,2,2] 1001101110=>0111011001=>1110110010=>[3,1,2,2,1,1] 1001101101=>1011011001=>0110110011=>[1,2,1,2,2,2] 1001100111=>1110011001=>1100110011=>[2,2,2,2,2] 1001100110=>0110011001=>1100110010=>[2,2,2,2,1,1] 1001100010=>0100011001=>1000110010=>[1,3,2,2,1,1] 1001100001=>1000011001=>0000110011=>[4,2,2,2] 1001011110=>0111101001=>1111010010=>[4,1,1,2,1,1] 1001010111=>1110101001=>1101010011=>[2,1,1,1,1,2,2] 1001010010=>0100101001=>1001010010=>[1,2,1,1,1,2,1,1] 1001001111=>1111001001=>1110010011=>[3,2,1,2,2] 1000111110=>0111110001=>1111100010=>[5,3,1,1] 1000111101=>1011110001=>0111100011=>[1,4,3,2] 1000111010=>0101110001=>1011100010=>[1,1,3,3,1,1] 1000110111=>1110110001=>1101100011=>[2,1,2,3,2] 1000110110=>0110110001=>1101100010=>[2,1,2,3,1,1] 1000110010=>0100110001=>1001100010=>[1,2,2,3,1,1] 1000110001=>1000110001=>0001100011=>[3,2,3,2] 1000101111=>1111010001=>1110100011=>[3,1,1,3,2] 1000101110=>0111010001=>1110100010=>[3,1,1,3,1,1] 1000101010=>0101010001=>1010100010=>[1,1,1,1,1,3,1,1] 1000100101=>1010010001=>0100100011=>[1,1,2,1,3,2] 1000011111=>1111100001=>1111000011=>[4,4,2] 1000011110=>0111100001=>1111000010=>[4,4,1,1] 1000011010=>0101100001=>1011000010=>[1,1,2,4,1,1] 1000010111=>1110100001=>1101000011=>[2,1,1,4,2] 1000001111=>1111000001=>1110000011=>[3,5,2] 1000001101=>1011000001=>0110000011=>[1,2,5,2] 1000000010=>0100000001=>1000000010=>[1,7,1,1] 1000000001=>1000000001=>0000000011=>[8,2] 1000000000=>0000000001=>0000000010=>[8,1,1] 10000000000=>00000000001=>00000000010=>[9,1,1] 10000000010=>01000000001=>10000000010=>[1,8,1,1] 11111111110=>01111111111=>11111111110=>[10,1] 100000111110=>011111000001=>111110000010=>[5,5,1,1] 100001011110=>011110100001=>111101000010=>[4,1,1,4,1,1] 100010011110=>011110010001=>111100100010=>[4,2,1,3,1,1] 100001101110=>011101100001=>111011000010=>[3,1,2,4,1,1] 100010101110=>011101010001=>111010100010=>[3,1,1,1,1,3,1,1] 100100101110=>011101001001=>111010010010=>[3,1,1,2,1,2,1,1] 100010110110=>011011010001=>110110100010=>[2,1,2,1,1,3,1,1] 101000110110=>011011000101=>110110001010=>[2,1,2,3,1,1,1,1] 100110001110=>011100011001=>111000110010=>[3,3,2,2,1,1] 100101010110=>011010101001=>110101010010=>[2,1,1,1,1,1,1,2,1,1] 0111111101=>1011111110=>0111111101=>[1,7,1,1] 0111110001=>1000111110=>0001111101=>[3,5,1,1] 0110000001=>1000000110=>0000001101=>[6,2,1,1] 0100000001=>1000000010=>0000000101=>[7,1,1,1] 0000000001=>1000000000=>0000000001=>[9,1] 01111111101=>10111111110=>01111111101=>[1,8,1,1] 01100000001=>10000000110=>00000001101=>[7,2,1,1] 00000000001=>10000000000=>00000000001=>[10,1] 0101010101=>1010101010=>0101010101=>[1,1,1,1,1,1,1,1,1,1] 0101010011=>1100101010=>1001010101=>[1,2,1,1,1,1,1,1,1] 0101001101=>1011001010=>0110010101=>[1,2,2,1,1,1,1,1] 0001110101=>1010111000=>0101110001=>[1,1,1,3,3,1] 0001100111=>1110011000=>1100110001=>[2,2,2,3,1] 0001011101=>1011101000=>0111010001=>[1,3,1,1,3,1] 0001010111=>1110101000=>1101010001=>[2,1,1,1,1,3,1] 0001001111=>1111001000=>1110010001=>[3,2,1,3,1] 0000110111=>1110110000=>1101100001=>[2,1,2,4,1] 0000101111=>1111010000=>1110100001=>[3,1,1,4,1] 0000011111=>1111100000=>1111000001=>[4,5,1] 010101010101=>101010101010=>010101010101=>[1,1,1,1,1,1,1,1,1,1,1,1] 010100101101=>101101001010=>011010010101=>[1,2,1,1,2,1,1,1,1,1] 010001101101=>101101100010=>011011000101=>[1,2,1,2,3,1,1,1] 001100011011=>110110001100=>101100011001=>[1,1,2,3,2,2,1] 001011010101=>101010110100=>010101101001=>[1,1,1,1,1,2,1,1,2,1] 001010101101=>101101010100=>011010101001=>[1,2,1,1,1,1,1,1,2,1] 001001011101=>101110100100=>011101001001=>[1,3,1,1,2,1,2,1] 000111010011=>110010111000=>100101110001=>[1,2,1,1,3,3,1] 000111000111=>111000111000=>110001110001=>[2,3,3,3,1] 000110011011=>110110011000=>101100110001=>[1,1,2,2,2,3,1] 000110010111=>111010011000=>110100110001=>[2,1,1,2,2,3,1] 000110001111=>111100011000=>111000110001=>[3,3,2,3,1] 000101101101=>101101101000=>011011010001=>[1,2,1,2,1,1,3,1] 000101011101=>101110101000=>011101010001=>[1,3,1,1,1,1,3,1] 000101010111=>111010101000=>110101010001=>[2,1,1,1,1,1,1,3,1] 000100111101=>101111001000=>011110010001=>[1,4,2,1,3,1] 000100111011=>110111001000=>101110010001=>[1,1,3,2,1,3,1] 000100110111=>111011001000=>110110010001=>[2,1,2,2,1,3,1] 000100101111=>111101001000=>111010010001=>[3,1,1,2,1,3,1] 000100011111=>111110001000=>111100010001=>[4,3,1,3,1] 000011011011=>110110110000=>101101100001=>[1,1,2,1,2,4,1] 000010111101=>101111010000=>011110100001=>[1,4,1,1,4,1] 000010111011=>110111010000=>101110100001=>[1,1,3,1,1,4,1] 000010110111=>111011010000=>110110100001=>[2,1,2,1,1,4,1] 000010101111=>111101010000=>111010100001=>[3,1,1,1,1,4,1] 000010011111=>111110010000=>111100100001=>[4,2,1,4,1] 000001110111=>111011100000=>110111000001=>[2,1,3,5,1] 000001101111=>111101100000=>111011000001=>[3,1,2,5,1] 000001011111=>111110100000=>111101000001=>[4,1,1,5,1] 000000111111=>111111000000=>111110000001=>[5,6,1] 111110000001=>100000011111=>000000111111=>[6,6] 111000000111=>111000000111=>110000001111=>[2,6,4] 111000111101=>101111000111=>011110001111=>[1,4,3,4] 111011001101=>101100110111=>011001101111=>[1,2,2,2,1,4] 111011110001=>100011110111=>000111101111=>[3,4,1,4] 111011100101=>101001110111=>010011101111=>[1,1,2,3,1,4] 111010011101=>101110010111=>011100101111=>[1,3,2,1,1,4] 100110111101=>101111011001=>011110110011=>[1,4,1,2,2,2] 100001111001=>100111100001=>001111000011=>[2,4,4,2] 100001100111=>111001100001=>110011000011=>[2,2,2,4,2] 100000011111=>111110000001=>111100000011=>[4,6,2] 100000001101=>101100000001=>011000000011=>[1,2,7,2] 100000110111=>111011000001=>110110000011=>[2,1,2,5,2] 100000110001=>100011000001=>000110000011=>[3,2,5,2] 100000111101=>101111000001=>011110000011=>[1,4,5,2] 100000100101=>101001000001=>010010000011=>[1,1,2,1,5,2] 100011000001=>100000110001=>000001100011=>[5,2,3,2] 100010010001=>100010010001=>000100100011=>[3,1,2,1,3,2] 100010000101=>101000010001=>010000100011=>[1,1,4,1,3,2] 101101101101=>101101101101=>011011011011=>[1,2,1,2,1,2,1,2] 101100000001=>100000001101=>000000011011=>[7,2,1,2] 101001000001=>100000100101=>000001001011=>[5,1,2,1,1,2] 101000010001=>100010000101=>000100001011=>[3,1,4,1,1,2] 101000000101=>101000000101=>010000001011=>[1,1,6,1,1,2] 101011011101=>101110110101=>011101101011=>[1,3,1,2,1,1,1,2] 0000000000=>0000000000=>0000000000=>[10] 0111111000=>0001111110=>0011111100=>[2,6,2] 000000000000=>000000000000=>000000000000=>[12] 000001111110=>011111100000=>111111000000=>[6,6] 000110011110=>011110011000=>111100110000=>[4,2,2,4] 000111111000=>000111111000=>001111110000=>[2,6,4] 000111001110=>011100111000=>111001110000=>[3,2,3,4] 000100111110=>011111001000=>111110010000=>[5,2,1,4] 000101101110=>011101101000=>111011010000=>[3,1,2,1,1,4] 0010101010=>0101010100=>1010101000=>[1,1,1,1,1,1,1,3] 0010101110=>0111010100=>1110101000=>[3,1,1,1,1,3] 0010111100=>0011110100=>0111101000=>[1,4,1,1,3] 0000111110=>0111110000=>1111100000=>[5,5] 0001011110=>0111101000=>1111010000=>[4,1,1,4] 0011010010=>0100101100=>1001011000=>[1,2,1,1,2,3] 0110001100=>0011000110=>0110001100=>[1,2,3,2,2] 001010101100=>001101010100=>011010101000=>[1,2,1,1,1,1,1,1,3] 001010110100=>001011010100=>010110101000=>[1,1,1,2,1,1,1,1,3] 001011001100=>001100110100=>011001101000=>[1,2,2,2,1,1,3] 001011010100=>001010110100=>010101101000=>[1,1,1,1,1,2,1,1,3] 001100101100=>001101001100=>011010011000=>[1,2,1,1,2,2,3] 001100110100=>001011001100=>010110011000=>[1,1,1,2,2,2,3] 001101001100=>001100101100=>011001011000=>[1,2,2,1,1,2,3] 001101010100=>001010101100=>010101011000=>[1,1,1,1,1,1,1,2,3] 010010101100=>001101010010=>011010100100=>[1,2,1,1,1,1,2,1,2] 010010110100=>001011010010=>010110100100=>[1,1,1,2,1,1,2,1,2] 010011001100=>001100110010=>011001100100=>[1,2,2,2,2,1,2] 010011010100=>001010110010=>010101100100=>[1,1,1,1,1,2,2,1,2] 010100101100=>001101001010=>011010010100=>[1,2,1,1,2,1,1,1,2] 010100110100=>001011001010=>010110010100=>[1,1,1,2,2,1,1,1,2] 010101001100=>001100101010=>011001010100=>[1,2,2,1,1,1,1,1,2] 010101010100=>001010101010=>010101010100=>[1,1,1,1,1,1,1,1,1,1,2] 0100000000=>0000000010=>0000000100=>[7,1,2] 0100101111=>1111010010=>1110100101=>[3,1,1,2,1,1,1] 0111110000=>0000111110=>0001111100=>[3,5,2] 0001101110=>0111011000=>1110110000=>[3,1,2,4] 0011111000=>0001111100=>0011111000=>[2,5,3] 0001111100=>0011111000=>0111110000=>[1,5,4] 000011011110=>011110110000=>111101100000=>[4,1,2,5] 001101101010=>010101101100=>101011011000=>[1,1,1,1,2,1,2,3] 000011101110=>011101110000=>111011100000=>[3,1,3,5] 001111110000=>000011111100=>000111111000=>[3,6,3] 001011111000=>000111110100=>001111101000=>[2,5,1,1,3] 001001111100=>001111100100=>011111001000=>[1,5,2,1,3] 000101111100=>001111101000=>011111010000=>[1,5,1,1,4] 000011111100=>001111110000=>011111100000=>[1,6,5] 0000101101=>1011010000=>0110100001=>[1,2,1,1,4,1] 110110000101=>101000011011=>010000110111=>[1,1,4,2,1,3] 0010110001=>1000110100=>0001101001=>[3,2,1,1,2,1] 001001110100=>001011100100=>010111001000=>[1,1,1,3,2,1,3] 000101110100=>001011101000=>010111010000=>[1,1,1,3,1,1,4] 010001101100=>001101100010=>011011000100=>[1,2,1,2,3,1,2] 001001101100=>001101100100=>011011001000=>[1,2,1,2,2,1,3] 000101101100=>001101101000=>011011010000=>[1,2,1,2,1,1,4] 010010011100=>001110010010=>011100100100=>[1,3,2,1,2,1,2] 001010011100=>001110010100=>011100101000=>[1,3,2,1,1,1,3] 010001011100=>001110100010=>011101000100=>[1,3,1,1,3,1,2] 001001011100=>001110100100=>011101001000=>[1,3,1,1,2,1,3] 000101011100=>001110101000=>011101010000=>[1,3,1,1,1,1,4] 001000111100=>001111000100=>011110001000=>[1,4,3,1,3] 000100111100=>001111001000=>011110010000=>[1,4,2,1,4] 000010111100=>001111010000=>011110100000=>[1,4,1,1,5] 10000000001=>10000000001=>00000000011=>[9,2] 11111111111=>11111111111=>11111111111=>[11] 100101101010=>010101101001=>101011010010=>[1,1,1,1,2,1,1,2,1,1] 101010010110=>011010010101=>110100101010=>[2,1,1,2,1,1,1,1,1,1] 100001011101=>101110100001=>011101000011=>[1,3,1,1,4,2] 100010011011=>110110010001=>101100100011=>[1,1,2,2,1,3,2] 100001011011=>110110100001=>101101000011=>[1,1,2,1,1,4,2] 100001010111=>111010100001=>110101000011=>[2,1,1,1,1,4,2] 100000101111=>111101000001=>111010000011=>[3,1,1,5,2] 110000101011=>110101000011=>101010000111=>[1,1,1,1,1,4,3] 110000010111=>111010000011=>110100000111=>[2,1,1,5,3] 110000001111=>111100000011=>111000000111=>[3,6,3] 0011001110=>0111001100=>1110011000=>[3,2,2,3] 001101010110=>011010101100=>110101011000=>[2,1,1,1,1,1,2,3] 001010110110=>011011010100=>110110101000=>[2,1,2,1,1,1,1,3] 001110001110=>011100011100=>111000111000=>[3,3,3,3] 001100101110=>011101001100=>111010011000=>[3,1,1,2,2,3] 001010101110=>011101010100=>111010101000=>[3,1,1,1,1,1,1,3] 001001101110=>011101100100=>111011001000=>[3,1,2,2,1,3] 001100011110=>011110001100=>111100011000=>[4,3,2,3] 001001011110=>011110100100=>111101001000=>[4,1,1,2,1,3] 000101011110=>011110101000=>111101010000=>[4,1,1,1,1,4] 001000111110=>011111000100=>111110001000=>[5,3,1,3] 000010111110=>011111010000=>111110100000=>[5,1,1,5] 100110011101=>101110011001=>011100110011=>[1,3,2,2,2,2] 110001011101=>101110100011=>011101000111=>[1,3,1,1,3,3] 100011011101=>101110110001=>011101100011=>[1,3,1,2,3,2] 101100110011=>110011001101=>100110011011=>[1,2,2,2,2,1,2] 110010110011=>110011010011=>100110100111=>[1,2,2,1,1,2,3] 100110110011=>110011011001=>100110110011=>[1,2,2,1,2,2,2] 110011001011=>110100110011=>101001100111=>[1,1,1,2,2,2,3] 100111001011=>110100111001=>101001110011=>[1,1,1,2,3,2,2] 110001101011=>110101100011=>101011000111=>[1,1,1,1,2,3,3] 100011101011=>110101110001=>101011100011=>[1,1,1,1,3,3,2] 101100011011=>110110001101=>101100011011=>[1,1,2,3,2,1,2] 110010011011=>110110010011=>101100100111=>[1,1,2,2,1,2,3] 100110011011=>110110011001=>101100110011=>[1,1,2,2,2,2,2] 110001011011=>110110100011=>101101000111=>[1,1,2,1,1,3,3] 100011011011=>110110110001=>101101100011=>[1,1,2,1,2,3,2] 100100111011=>110111001001=>101110010011=>[1,1,3,2,1,2,2] 100010111011=>110111010001=>101110100011=>[1,1,3,1,1,3,2] 100111000111=>111000111001=>110001110011=>[2,3,3,2,2] 110001100111=>111001100011=>110011000111=>[2,2,2,3,3] 100101100111=>111001101001=>110011010011=>[2,2,2,1,1,2,2] 100011100111=>111001110001=>110011100011=>[2,2,3,3,2] 100110010111=>111010011001=>110100110011=>[2,1,1,2,2,2,2] 110001010111=>111010100011=>110101000111=>[2,1,1,1,1,3,3] 100101010111=>111010101001=>110101010011=>[2,1,1,1,1,1,1,2,2] 100011010111=>111010110001=>110101100011=>[2,1,1,1,2,3,2] 110000110111=>111011000011=>110110000111=>[2,1,2,4,3] 100100110111=>111011001001=>110110010011=>[2,1,2,2,1,2,2] 100010110111=>111011010001=>110110100011=>[2,1,2,1,1,3,2] 100001110111=>111011100001=>110111000011=>[2,1,3,4,2] 100110001111=>111100011001=>111000110011=>[3,3,2,2,2] 110001001111=>111100100011=>111001000111=>[3,2,1,3,3] 100101001111=>111100101001=>111001010011=>[3,2,1,1,1,2,2] 100011001111=>111100110001=>111001100011=>[3,2,2,3,2] 110000101111=>111101000011=>111010000111=>[3,1,1,4,3] 100100101111=>111101001001=>111010010011=>[3,1,1,2,1,2,2] 100010101111=>111101010001=>111010100011=>[3,1,1,1,1,3,2] 100001101111=>111101100001=>111011000011=>[3,1,2,4,2] 110000011111=>111110000011=>111100000111=>[4,5,3] 100100011111=>111110001001=>111100010011=>[4,3,1,2,2] 100010011111=>111110010001=>111100100011=>[4,2,1,3,2] 100001011111=>111110100001=>111101000011=>[4,1,1,4,2] 100000111111=>111111000001=>111110000011=>[5,5,2] 0000000011=>1100000000=>1000000001=>[1,8,1] 0000111111=>1111110000=>1111100001=>[5,4,1] 00000000011=>11000000000=>10000000001=>[1,9,1] 0011000000=>0000001100=>0000011000=>[5,2,3] 0011001111=>1111001100=>1110011001=>[3,2,2,2,1] 0010001101=>1011000100=>0110001001=>[1,2,3,1,2,1] 0010100101=>1010010100=>0100101001=>[1,1,2,1,1,1,2,1] 0001101111=>1111011000=>1110110001=>[3,1,2,3,1] 0100010101=>1010100010=>0101000101=>[1,1,1,1,3,1,1,1] 0101010111=>1110101010=>1101010101=>[2,1,1,1,1,1,1,1,1] 0001010101=>1010101000=>0101010001=>[1,1,1,1,1,1,3,1] 0000110101=>1010110000=>0101100001=>[1,1,1,2,4,1] 0011010111=>1110101100=>1101011001=>[2,1,1,1,2,2,1] 0001110111=>1110111000=>1101110001=>[2,1,3,3,1] 0110000011=>1100000110=>1000001101=>[1,5,2,1,1] 111000101011=>110101000111=>101010001111=>[1,1,1,1,1,3,4] 0101000011=>1100001010=>1000010101=>[1,4,1,1,1,1,1] 0100110111=>1110110010=>1101100101=>[2,1,2,2,1,1,1] 0101001111=>1111001010=>1110010101=>[3,2,1,1,1,1,1] 0111011100=>0011101110=>0111011100=>[1,3,1,3,2] 0101000101=>1010001010=>0100010101=>[1,1,3,1,1,1,1,1] 0101010001=>1000101010=>0001010101=>[3,1,1,1,1,1,1,1] 0011101110=>0111011100=>1110111000=>[3,1,3,3] 111000010111=>111010000111=>110100001111=>[2,1,1,4,4] 111100000111=>111000001111=>110000011111=>[2,5,5] 0001001101=>1011001000=>0110010001=>[1,2,2,1,3,1] 111000001111=>111100000111=>111000001111=>[3,5,4] 0001100101=>1010011000=>0100110001=>[1,1,2,2,3,1]