=>

0=>0=>[2] 1=>1=>[1,1] 00=>00=>[3] 01=>10=>[1,2] 10=>01=>[2,1] 11=>11=>[1,1,1] 000=>000=>[4] 001=>100=>[1,3] 010=>010=>[2,2] 011=>110=>[1,1,2] 100=>001=>[3,1] 101=>101=>[1,2,1] 110=>011=>[2,1,1] 111=>111=>[1,1,1,1] 0000=>0000=>[5] 0001=>1000=>[1,4] 0010=>0100=>[2,3] 0011=>1100=>[1,1,3] 0100=>0010=>[3,2] 0101=>1010=>[1,2,2] 0110=>0110=>[2,1,2] 0111=>1110=>[1,1,1,2] 1000=>0001=>[4,1] 1001=>1001=>[1,3,1] 1010=>0101=>[2,2,1] 1011=>1101=>[1,1,2,1] 1100=>0011=>[3,1,1] 1101=>1011=>[1,2,1,1] 1110=>0111=>[2,1,1,1] 1111=>1111=>[1,1,1,1,1] 00000=>00000=>[6] 00001=>10000=>[1,5] 00010=>01000=>[2,4] 00011=>11000=>[1,1,4] 00100=>00100=>[3,3] 00101=>10100=>[1,2,3] 00110=>01100=>[2,1,3] 00111=>11100=>[1,1,1,3] 01000=>00010=>[4,2] 01001=>10010=>[1,3,2] 01010=>01010=>[2,2,2] 01011=>11010=>[1,1,2,2] 01100=>00110=>[3,1,2] 01101=>10110=>[1,2,1,2] 01110=>01110=>[2,1,1,2] 01111=>11110=>[1,1,1,1,2] 10000=>00001=>[5,1] 10001=>10001=>[1,4,1] 10010=>01001=>[2,3,1] 10011=>11001=>[1,1,3,1] 10100=>00101=>[3,2,1] 10101=>10101=>[1,2,2,1] 10110=>01101=>[2,1,2,1] 10111=>11101=>[1,1,1,2,1] 11000=>00011=>[4,1,1] 11001=>10011=>[1,3,1,1] 11010=>01011=>[2,2,1,1] 11011=>11011=>[1,1,2,1,1] 11100=>00111=>[3,1,1,1] 11101=>10111=>[1,2,1,1,1] 11110=>01111=>[2,1,1,1,1] 11111=>11111=>[1,1,1,1,1,1] 000000=>000000=>[7] 000001=>100000=>[1,6] 000010=>010000=>[2,5] 000011=>110000=>[1,1,5] 000100=>001000=>[3,4] 000101=>101000=>[1,2,4] 000110=>011000=>[2,1,4] 000111=>111000=>[1,1,1,4] 001000=>000100=>[4,3] 001001=>100100=>[1,3,3] 001010=>010100=>[2,2,3] 001011=>110100=>[1,1,2,3] 001100=>001100=>[3,1,3] 001101=>101100=>[1,2,1,3] 001110=>011100=>[2,1,1,3] 001111=>111100=>[1,1,1,1,3] 010000=>000010=>[5,2] 010001=>100010=>[1,4,2] 010010=>010010=>[2,3,2] 010011=>110010=>[1,1,3,2] 010100=>001010=>[3,2,2] 010101=>101010=>[1,2,2,2] 010110=>011010=>[2,1,2,2] 010111=>111010=>[1,1,1,2,2] 011000=>000110=>[4,1,2] 011001=>100110=>[1,3,1,2] 011010=>010110=>[2,2,1,2] 011011=>110110=>[1,1,2,1,2] 011100=>001110=>[3,1,1,2] 011101=>101110=>[1,2,1,1,2] 011110=>011110=>[2,1,1,1,2] 011111=>111110=>[1,1,1,1,1,2] 100000=>000001=>[6,1] 100001=>100001=>[1,5,1] 100010=>010001=>[2,4,1] 100011=>110001=>[1,1,4,1] 100100=>001001=>[3,3,1] 100101=>101001=>[1,2,3,1] 100110=>011001=>[2,1,3,1] 100111=>111001=>[1,1,1,3,1] 101000=>000101=>[4,2,1] 101001=>100101=>[1,3,2,1] 101010=>010101=>[2,2,2,1] 101011=>110101=>[1,1,2,2,1] 101100=>001101=>[3,1,2,1] 101101=>101101=>[1,2,1,2,1] 101110=>011101=>[2,1,1,2,1] 101111=>111101=>[1,1,1,1,2,1] 110000=>000011=>[5,1,1] 110001=>100011=>[1,4,1,1] 110010=>010011=>[2,3,1,1] 110011=>110011=>[1,1,3,1,1] 110100=>001011=>[3,2,1,1] 110101=>101011=>[1,2,2,1,1] 110110=>011011=>[2,1,2,1,1] 110111=>111011=>[1,1,1,2,1,1] 111000=>000111=>[4,1,1,1] 111001=>100111=>[1,3,1,1,1] 111010=>010111=>[2,2,1,1,1] 111011=>110111=>[1,1,2,1,1,1] 111100=>001111=>[3,1,1,1,1] 111101=>101111=>[1,2,1,1,1,1] 111110=>011111=>[2,1,1,1,1,1] 111111=>111111=>[1,1,1,1,1,1,1] 0000000=>0000000=>[8] 0000001=>1000000=>[1,7] 0000010=>0100000=>[2,6] 0000011=>1100000=>[1,1,6] 0000100=>0010000=>[3,5] 0000101=>1010000=>[1,2,5] 0000110=>0110000=>[2,1,5] 0000111=>1110000=>[1,1,1,5] 0001000=>0001000=>[4,4] 0001001=>1001000=>[1,3,4] 0001010=>0101000=>[2,2,4] 0001011=>1101000=>[1,1,2,4] 0001100=>0011000=>[3,1,4] 0001101=>1011000=>[1,2,1,4] 0001110=>0111000=>[2,1,1,4] 0001111=>1111000=>[1,1,1,1,4] 0010000=>0000100=>[5,3] 0010001=>1000100=>[1,4,3] 0010010=>0100100=>[2,3,3] 0010011=>1100100=>[1,1,3,3] 0010100=>0010100=>[3,2,3] 0010101=>1010100=>[1,2,2,3] 0010110=>0110100=>[2,1,2,3] 0010111=>1110100=>[1,1,1,2,3] 0011000=>0001100=>[4,1,3] 0011001=>1001100=>[1,3,1,3] 0011010=>0101100=>[2,2,1,3] 0011011=>1101100=>[1,1,2,1,3] 0011100=>0011100=>[3,1,1,3] 0011101=>1011100=>[1,2,1,1,3] 0011110=>0111100=>[2,1,1,1,3] 0011111=>1111100=>[1,1,1,1,1,3] 0100000=>0000010=>[6,2] 0100001=>1000010=>[1,5,2] 0100010=>0100010=>[2,4,2] 0100011=>1100010=>[1,1,4,2] 0100100=>0010010=>[3,3,2] 0100101=>1010010=>[1,2,3,2] 0100110=>0110010=>[2,1,3,2] 0100111=>1110010=>[1,1,1,3,2] 0101000=>0001010=>[4,2,2] 0101001=>1001010=>[1,3,2,2] 0101010=>0101010=>[2,2,2,2] 0101011=>1101010=>[1,1,2,2,2] 0101100=>0011010=>[3,1,2,2] 0101101=>1011010=>[1,2,1,2,2] 0101110=>0111010=>[2,1,1,2,2] 0101111=>1111010=>[1,1,1,1,2,2] 0110000=>0000110=>[5,1,2] 0110001=>1000110=>[1,4,1,2] 0110010=>0100110=>[2,3,1,2] 0110011=>1100110=>[1,1,3,1,2] 0110100=>0010110=>[3,2,1,2] 0110101=>1010110=>[1,2,2,1,2] 0110110=>0110110=>[2,1,2,1,2] 0110111=>1110110=>[1,1,1,2,1,2] 0111000=>0001110=>[4,1,1,2] 0111001=>1001110=>[1,3,1,1,2] 0111010=>0101110=>[2,2,1,1,2] 0111011=>1101110=>[1,1,2,1,1,2] 0111100=>0011110=>[3,1,1,1,2] 0111101=>1011110=>[1,2,1,1,1,2] 0111110=>0111110=>[2,1,1,1,1,2] 0111111=>1111110=>[1,1,1,1,1,1,2] 1000000=>0000001=>[7,1] 1000001=>1000001=>[1,6,1] 1000010=>0100001=>[2,5,1] 1000011=>1100001=>[1,1,5,1] 1000100=>0010001=>[3,4,1] 1000101=>1010001=>[1,2,4,1] 1000110=>0110001=>[2,1,4,1] 1000111=>1110001=>[1,1,1,4,1] 1001000=>0001001=>[4,3,1] 1001001=>1001001=>[1,3,3,1] 1001010=>0101001=>[2,2,3,1] 1001011=>1101001=>[1,1,2,3,1] 1001100=>0011001=>[3,1,3,1] 1001101=>1011001=>[1,2,1,3,1] 1001110=>0111001=>[2,1,1,3,1] 1001111=>1111001=>[1,1,1,1,3,1] 1010000=>0000101=>[5,2,1] 1010001=>1000101=>[1,4,2,1] 1010010=>0100101=>[2,3,2,1] 1010011=>1100101=>[1,1,3,2,1] 1010100=>0010101=>[3,2,2,1] 1010101=>1010101=>[1,2,2,2,1] 1010110=>0110101=>[2,1,2,2,1] 1010111=>1110101=>[1,1,1,2,2,1] 1011000=>0001101=>[4,1,2,1] 1011001=>1001101=>[1,3,1,2,1] 1011010=>0101101=>[2,2,1,2,1] 1011011=>1101101=>[1,1,2,1,2,1] 1011100=>0011101=>[3,1,1,2,1] 1011101=>1011101=>[1,2,1,1,2,1] 1011110=>0111101=>[2,1,1,1,2,1] 1011111=>1111101=>[1,1,1,1,1,2,1] 1100000=>0000011=>[6,1,1] 1100001=>1000011=>[1,5,1,1] 1100010=>0100011=>[2,4,1,1] 1100011=>1100011=>[1,1,4,1,1] 1100100=>0010011=>[3,3,1,1] 1100101=>1010011=>[1,2,3,1,1] 1100110=>0110011=>[2,1,3,1,1] 1100111=>1110011=>[1,1,1,3,1,1] 1101000=>0001011=>[4,2,1,1] 1101001=>1001011=>[1,3,2,1,1] 1101010=>0101011=>[2,2,2,1,1] 1101011=>1101011=>[1,1,2,2,1,1] 1101100=>0011011=>[3,1,2,1,1] 1101101=>1011011=>[1,2,1,2,1,1] 1101110=>0111011=>[2,1,1,2,1,1] 1101111=>1111011=>[1,1,1,1,2,1,1] 1110000=>0000111=>[5,1,1,1] 1110001=>1000111=>[1,4,1,1,1] 1110010=>0100111=>[2,3,1,1,1] 1110011=>1100111=>[1,1,3,1,1,1] 1110100=>0010111=>[3,2,1,1,1] 1110101=>1010111=>[1,2,2,1,1,1] 1110110=>0110111=>[2,1,2,1,1,1] 1110111=>1110111=>[1,1,1,2,1,1,1] 1111000=>0001111=>[4,1,1,1,1] 1111001=>1001111=>[1,3,1,1,1,1] 1111010=>0101111=>[2,2,1,1,1,1] 1111011=>1101111=>[1,1,2,1,1,1,1] 1111100=>0011111=>[3,1,1,1,1,1] 1111101=>1011111=>[1,2,1,1,1,1,1] 1111110=>0111111=>[2,1,1,1,1,1,1] 1111111=>1111111=>[1,1,1,1,1,1,1,1] 00000000=>00000000=>[9] 00000001=>10000000=>[1,8] 00000010=>01000000=>[2,7] 00000011=>11000000=>[1,1,7] 00000100=>00100000=>[3,6] 00000101=>10100000=>[1,2,6] 00000110=>01100000=>[2,1,6] 00000111=>11100000=>[1,1,1,6] 00001000=>00010000=>[4,5] 00001001=>10010000=>[1,3,5] 00001010=>01010000=>[2,2,5] 00001011=>11010000=>[1,1,2,5] 00001100=>00110000=>[3,1,5] 00001101=>10110000=>[1,2,1,5] 00001110=>01110000=>[2,1,1,5] 00001111=>11110000=>[1,1,1,1,5] 00010000=>00001000=>[5,4] 00010001=>10001000=>[1,4,4] 00010010=>01001000=>[2,3,4] 00010011=>11001000=>[1,1,3,4] 00010100=>00101000=>[3,2,4] 00010101=>10101000=>[1,2,2,4] 00010110=>01101000=>[2,1,2,4] 00010111=>11101000=>[1,1,1,2,4] 00011000=>00011000=>[4,1,4] 00011001=>10011000=>[1,3,1,4] 00011010=>01011000=>[2,2,1,4] 00011011=>11011000=>[1,1,2,1,4] 00011100=>00111000=>[3,1,1,4] 00011101=>10111000=>[1,2,1,1,4] 00011110=>01111000=>[2,1,1,1,4] 00011111=>11111000=>[1,1,1,1,1,4] 00100000=>00000100=>[6,3] 00100001=>10000100=>[1,5,3] 00100010=>01000100=>[2,4,3] 00100011=>11000100=>[1,1,4,3] 00100100=>00100100=>[3,3,3] 00100101=>10100100=>[1,2,3,3] 00100110=>01100100=>[2,1,3,3] 00100111=>11100100=>[1,1,1,3,3] 00101000=>00010100=>[4,2,3] 00101001=>10010100=>[1,3,2,3] 00101010=>01010100=>[2,2,2,3] 00101011=>11010100=>[1,1,2,2,3] 00101100=>00110100=>[3,1,2,3] 00101101=>10110100=>[1,2,1,2,3] 00101110=>01110100=>[2,1,1,2,3] 00101111=>11110100=>[1,1,1,1,2,3] 00110000=>00001100=>[5,1,3] 00110001=>10001100=>[1,4,1,3] 00110010=>01001100=>[2,3,1,3] 00110011=>11001100=>[1,1,3,1,3] 00110100=>00101100=>[3,2,1,3] 00110101=>10101100=>[1,2,2,1,3] 00110110=>01101100=>[2,1,2,1,3] 00110111=>11101100=>[1,1,1,2,1,3] 00111000=>00011100=>[4,1,1,3] 00111001=>10011100=>[1,3,1,1,3] 00111010=>01011100=>[2,2,1,1,3] 00111011=>11011100=>[1,1,2,1,1,3] 00111100=>00111100=>[3,1,1,1,3] 00111101=>10111100=>[1,2,1,1,1,3] 00111110=>01111100=>[2,1,1,1,1,3] 00111111=>11111100=>[1,1,1,1,1,1,3] 01000000=>00000010=>[7,2] 01000001=>10000010=>[1,6,2] 01000010=>01000010=>[2,5,2] 01000011=>11000010=>[1,1,5,2] 01000100=>00100010=>[3,4,2] 01000101=>10100010=>[1,2,4,2] 01000110=>01100010=>[2,1,4,2] 01000111=>11100010=>[1,1,1,4,2] 01001000=>00010010=>[4,3,2] 01001001=>10010010=>[1,3,3,2] 01001010=>01010010=>[2,2,3,2] 01001011=>11010010=>[1,1,2,3,2] 01001100=>00110010=>[3,1,3,2] 01001101=>10110010=>[1,2,1,3,2] 01001110=>01110010=>[2,1,1,3,2] 01001111=>11110010=>[1,1,1,1,3,2] 01010000=>00001010=>[5,2,2] 01010001=>10001010=>[1,4,2,2] 01010010=>01001010=>[2,3,2,2] 01010011=>11001010=>[1,1,3,2,2] 01010100=>00101010=>[3,2,2,2] 01010101=>10101010=>[1,2,2,2,2] 01010110=>01101010=>[2,1,2,2,2] 01010111=>11101010=>[1,1,1,2,2,2] 01011000=>00011010=>[4,1,2,2] 01011001=>10011010=>[1,3,1,2,2] 01011010=>01011010=>[2,2,1,2,2] 01011011=>11011010=>[1,1,2,1,2,2] 01011100=>00111010=>[3,1,1,2,2] 01011101=>10111010=>[1,2,1,1,2,2] 01011110=>01111010=>[2,1,1,1,2,2] 01011111=>11111010=>[1,1,1,1,1,2,2] 01100000=>00000110=>[6,1,2] 01100001=>10000110=>[1,5,1,2] 01100010=>01000110=>[2,4,1,2] 01100011=>11000110=>[1,1,4,1,2] 01100100=>00100110=>[3,3,1,2] 01100101=>10100110=>[1,2,3,1,2] 01100110=>01100110=>[2,1,3,1,2] 01100111=>11100110=>[1,1,1,3,1,2] 01101000=>00010110=>[4,2,1,2] 01101001=>10010110=>[1,3,2,1,2] 01101010=>01010110=>[2,2,2,1,2] 01101011=>11010110=>[1,1,2,2,1,2] 01101100=>00110110=>[3,1,2,1,2] 01101101=>10110110=>[1,2,1,2,1,2] 01101110=>01110110=>[2,1,1,2,1,2] 01101111=>11110110=>[1,1,1,1,2,1,2] 01110000=>00001110=>[5,1,1,2] 01110001=>10001110=>[1,4,1,1,2] 01110010=>01001110=>[2,3,1,1,2] 01110011=>11001110=>[1,1,3,1,1,2] 01110100=>00101110=>[3,2,1,1,2] 01110101=>10101110=>[1,2,2,1,1,2] 01110110=>01101110=>[2,1,2,1,1,2] 01110111=>11101110=>[1,1,1,2,1,1,2] 01111000=>00011110=>[4,1,1,1,2] 01111001=>10011110=>[1,3,1,1,1,2] 01111010=>01011110=>[2,2,1,1,1,2] 01111011=>11011110=>[1,1,2,1,1,1,2] 01111100=>00111110=>[3,1,1,1,1,2] 01111101=>10111110=>[1,2,1,1,1,1,2] 01111110=>01111110=>[2,1,1,1,1,1,2] 01111111=>11111110=>[1,1,1,1,1,1,1,2] 10000000=>00000001=>[8,1] 10000001=>10000001=>[1,7,1] 10000010=>01000001=>[2,6,1] 10000011=>11000001=>[1,1,6,1] 10000100=>00100001=>[3,5,1] 10000101=>10100001=>[1,2,5,1] 10000110=>01100001=>[2,1,5,1] 10000111=>11100001=>[1,1,1,5,1] 10001000=>00010001=>[4,4,1] 10001001=>10010001=>[1,3,4,1] 10001010=>01010001=>[2,2,4,1] 10001011=>11010001=>[1,1,2,4,1] 10001100=>00110001=>[3,1,4,1] 10001101=>10110001=>[1,2,1,4,1] 10001110=>01110001=>[2,1,1,4,1] 10001111=>11110001=>[1,1,1,1,4,1] 10010000=>00001001=>[5,3,1] 10010001=>10001001=>[1,4,3,1] 10010010=>01001001=>[2,3,3,1] 10010011=>11001001=>[1,1,3,3,1] 10010100=>00101001=>[3,2,3,1] 10010101=>10101001=>[1,2,2,3,1] 10010110=>01101001=>[2,1,2,3,1] 10010111=>11101001=>[1,1,1,2,3,1] 10011000=>00011001=>[4,1,3,1] 10011001=>10011001=>[1,3,1,3,1] 10011010=>01011001=>[2,2,1,3,1] 10011011=>11011001=>[1,1,2,1,3,1] 10011100=>00111001=>[3,1,1,3,1] 10011101=>10111001=>[1,2,1,1,3,1] 10011110=>01111001=>[2,1,1,1,3,1] 10011111=>11111001=>[1,1,1,1,1,3,1] 10100000=>00000101=>[6,2,1] 10100001=>10000101=>[1,5,2,1] 10100010=>01000101=>[2,4,2,1] 10100011=>11000101=>[1,1,4,2,1] 10100100=>00100101=>[3,3,2,1] 10100101=>10100101=>[1,2,3,2,1] 10100110=>01100101=>[2,1,3,2,1] 10100111=>11100101=>[1,1,1,3,2,1] 10101000=>00010101=>[4,2,2,1] 10101001=>10010101=>[1,3,2,2,1] 10101010=>01010101=>[2,2,2,2,1] 10101011=>11010101=>[1,1,2,2,2,1] 10101100=>00110101=>[3,1,2,2,1] 10101101=>10110101=>[1,2,1,2,2,1] 10101110=>01110101=>[2,1,1,2,2,1] 10101111=>11110101=>[1,1,1,1,2,2,1] 10110000=>00001101=>[5,1,2,1] 10110001=>10001101=>[1,4,1,2,1] 10110010=>01001101=>[2,3,1,2,1] 10110011=>11001101=>[1,1,3,1,2,1] 10110100=>00101101=>[3,2,1,2,1] 10110101=>10101101=>[1,2,2,1,2,1] 10110110=>01101101=>[2,1,2,1,2,1] 10110111=>11101101=>[1,1,1,2,1,2,1] 10111000=>00011101=>[4,1,1,2,1] 10111001=>10011101=>[1,3,1,1,2,1] 10111010=>01011101=>[2,2,1,1,2,1] 10111011=>11011101=>[1,1,2,1,1,2,1] 10111100=>00111101=>[3,1,1,1,2,1] 10111101=>10111101=>[1,2,1,1,1,2,1] 10111110=>01111101=>[2,1,1,1,1,2,1] 10111111=>11111101=>[1,1,1,1,1,1,2,1] 11000000=>00000011=>[7,1,1] 11000001=>10000011=>[1,6,1,1] 11000010=>01000011=>[2,5,1,1] 11000011=>11000011=>[1,1,5,1,1] 11000100=>00100011=>[3,4,1,1] 11000101=>10100011=>[1,2,4,1,1] 11000110=>01100011=>[2,1,4,1,1] 11000111=>11100011=>[1,1,1,4,1,1] 11001000=>00010011=>[4,3,1,1] 11001001=>10010011=>[1,3,3,1,1] 11001010=>01010011=>[2,2,3,1,1] 11001011=>11010011=>[1,1,2,3,1,1] 11001100=>00110011=>[3,1,3,1,1] 11001101=>10110011=>[1,2,1,3,1,1] 11001110=>01110011=>[2,1,1,3,1,1] 11001111=>11110011=>[1,1,1,1,3,1,1] 11010000=>00001011=>[5,2,1,1] 11010001=>10001011=>[1,4,2,1,1] 11010010=>01001011=>[2,3,2,1,1] 11010011=>11001011=>[1,1,3,2,1,1] 11010100=>00101011=>[3,2,2,1,1] 11010101=>10101011=>[1,2,2,2,1,1] 11010110=>01101011=>[2,1,2,2,1,1] 11010111=>11101011=>[1,1,1,2,2,1,1] 11011000=>00011011=>[4,1,2,1,1] 11011001=>10011011=>[1,3,1,2,1,1] 11011010=>01011011=>[2,2,1,2,1,1] 11011011=>11011011=>[1,1,2,1,2,1,1] 11011100=>00111011=>[3,1,1,2,1,1] 11011101=>10111011=>[1,2,1,1,2,1,1] 11011110=>01111011=>[2,1,1,1,2,1,1] 11011111=>11111011=>[1,1,1,1,1,2,1,1] 11100000=>00000111=>[6,1,1,1] 11100001=>10000111=>[1,5,1,1,1] 11100010=>01000111=>[2,4,1,1,1] 11100011=>11000111=>[1,1,4,1,1,1] 11100100=>00100111=>[3,3,1,1,1] 11100101=>10100111=>[1,2,3,1,1,1] 11100110=>01100111=>[2,1,3,1,1,1] 11100111=>11100111=>[1,1,1,3,1,1,1] 11101000=>00010111=>[4,2,1,1,1] 11101001=>10010111=>[1,3,2,1,1,1] 11101010=>01010111=>[2,2,2,1,1,1] 11101011=>11010111=>[1,1,2,2,1,1,1] 11101100=>00110111=>[3,1,2,1,1,1] 11101101=>10110111=>[1,2,1,2,1,1,1] 11101110=>01110111=>[2,1,1,2,1,1,1] 11101111=>11110111=>[1,1,1,1,2,1,1,1] 11110000=>00001111=>[5,1,1,1,1] 11110001=>10001111=>[1,4,1,1,1,1] 11110010=>01001111=>[2,3,1,1,1,1] 11110011=>11001111=>[1,1,3,1,1,1,1] 11110100=>00101111=>[3,2,1,1,1,1] 11110101=>10101111=>[1,2,2,1,1,1,1] 11110110=>01101111=>[2,1,2,1,1,1,1] 11110111=>11101111=>[1,1,1,2,1,1,1,1] 11111000=>00011111=>[4,1,1,1,1,1] 11111001=>10011111=>[1,3,1,1,1,1,1] 11111010=>01011111=>[2,2,1,1,1,1,1] 11111011=>11011111=>[1,1,2,1,1,1,1,1] 11111100=>00111111=>[3,1,1,1,1,1,1] 11111101=>10111111=>[1,2,1,1,1,1,1,1] 11111110=>01111111=>[2,1,1,1,1,1,1,1] 11111111=>11111111=>[1,1,1,1,1,1,1,1,1] 000000000=>000000000=>[10] 000000001=>100000000=>[1,9] 000000010=>010000000=>[2,8] 000000011=>110000000=>[1,1,8] 000000100=>001000000=>[3,7] 000000101=>101000000=>[1,2,7] 000000110=>011000000=>[2,1,7] 000000111=>111000000=>[1,1,1,7] 000001000=>000100000=>[4,6] 000001001=>100100000=>[1,3,6] 000001010=>010100000=>[2,2,6] 000001011=>110100000=>[1,1,2,6] 000001100=>001100000=>[3,1,6] 000001101=>101100000=>[1,2,1,6] 000001110=>011100000=>[2,1,1,6] 000001111=>111100000=>[1,1,1,1,6] 000010000=>000010000=>[5,5] 000010001=>100010000=>[1,4,5] 000010010=>010010000=>[2,3,5] 000010011=>110010000=>[1,1,3,5] 000010100=>001010000=>[3,2,5] 000010101=>101010000=>[1,2,2,5] 000010110=>011010000=>[2,1,2,5] 000010111=>111010000=>[1,1,1,2,5] 000011000=>000110000=>[4,1,5] 000011001=>100110000=>[1,3,1,5] 000011010=>010110000=>[2,2,1,5] 000011011=>110110000=>[1,1,2,1,5] 000011100=>001110000=>[3,1,1,5] 000011101=>101110000=>[1,2,1,1,5] 000011110=>011110000=>[2,1,1,1,5] 000011111=>111110000=>[1,1,1,1,1,5] 000100000=>000001000=>[6,4] 000100001=>100001000=>[1,5,4] 000100010=>010001000=>[2,4,4] 000100011=>110001000=>[1,1,4,4] 000100100=>001001000=>[3,3,4] 000100101=>101001000=>[1,2,3,4] 000100110=>011001000=>[2,1,3,4] 000100111=>111001000=>[1,1,1,3,4] 000101000=>000101000=>[4,2,4] 000101001=>100101000=>[1,3,2,4] 000101010=>010101000=>[2,2,2,4] 000101011=>110101000=>[1,1,2,2,4] 000101100=>001101000=>[3,1,2,4] 000101101=>101101000=>[1,2,1,2,4] 000101110=>011101000=>[2,1,1,2,4] 000101111=>111101000=>[1,1,1,1,2,4] 000110000=>000011000=>[5,1,4] 000110001=>100011000=>[1,4,1,4] 000110010=>010011000=>[2,3,1,4] 000110011=>110011000=>[1,1,3,1,4] 000110100=>001011000=>[3,2,1,4] 000110101=>101011000=>[1,2,2,1,4] 000110110=>011011000=>[2,1,2,1,4] 000110111=>111011000=>[1,1,1,2,1,4] 000111000=>000111000=>[4,1,1,4] 000111001=>100111000=>[1,3,1,1,4] 000111010=>010111000=>[2,2,1,1,4] 000111011=>110111000=>[1,1,2,1,1,4] 000111100=>001111000=>[3,1,1,1,4] 000111101=>101111000=>[1,2,1,1,1,4] 000111110=>011111000=>[2,1,1,1,1,4] 000111111=>111111000=>[1,1,1,1,1,1,4] 001000000=>000000100=>[7,3] 001000001=>100000100=>[1,6,3] 001000010=>010000100=>[2,5,3] 001000011=>110000100=>[1,1,5,3] 001000100=>001000100=>[3,4,3] 001000101=>101000100=>[1,2,4,3] 001000110=>011000100=>[2,1,4,3] 001000111=>111000100=>[1,1,1,4,3] 001001000=>000100100=>[4,3,3] 001001001=>100100100=>[1,3,3,3] 001001010=>010100100=>[2,2,3,3] 001001011=>110100100=>[1,1,2,3,3] 001001100=>001100100=>[3,1,3,3] 001001101=>101100100=>[1,2,1,3,3] 001001110=>011100100=>[2,1,1,3,3] 001001111=>111100100=>[1,1,1,1,3,3] 001010000=>000010100=>[5,2,3] 001010001=>100010100=>[1,4,2,3] 001010010=>010010100=>[2,3,2,3] 001010011=>110010100=>[1,1,3,2,3] 001010100=>001010100=>[3,2,2,3] 001010101=>101010100=>[1,2,2,2,3] 001010110=>011010100=>[2,1,2,2,3] 001010111=>111010100=>[1,1,1,2,2,3] 001011000=>000110100=>[4,1,2,3] 001011001=>100110100=>[1,3,1,2,3] 001011010=>010110100=>[2,2,1,2,3] 001011011=>110110100=>[1,1,2,1,2,3] 001011100=>001110100=>[3,1,1,2,3] 001011101=>101110100=>[1,2,1,1,2,3] 001011110=>011110100=>[2,1,1,1,2,3] 001011111=>111110100=>[1,1,1,1,1,2,3] 001100000=>000001100=>[6,1,3] 001100001=>100001100=>[1,5,1,3] 001100010=>010001100=>[2,4,1,3] 001100011=>110001100=>[1,1,4,1,3] 001100100=>001001100=>[3,3,1,3] 001100101=>101001100=>[1,2,3,1,3] 001100110=>011001100=>[2,1,3,1,3] 001100111=>111001100=>[1,1,1,3,1,3] 001101000=>000101100=>[4,2,1,3] 001101001=>100101100=>[1,3,2,1,3] 001101010=>010101100=>[2,2,2,1,3] 001101011=>110101100=>[1,1,2,2,1,3] 001101100=>001101100=>[3,1,2,1,3] 001101101=>101101100=>[1,2,1,2,1,3] 001101110=>011101100=>[2,1,1,2,1,3] 001101111=>111101100=>[1,1,1,1,2,1,3] 001110000=>000011100=>[5,1,1,3] 001110001=>100011100=>[1,4,1,1,3] 001110010=>010011100=>[2,3,1,1,3] 001110011=>110011100=>[1,1,3,1,1,3] 001110100=>001011100=>[3,2,1,1,3] 001110101=>101011100=>[1,2,2,1,1,3] 001110110=>011011100=>[2,1,2,1,1,3] 001110111=>111011100=>[1,1,1,2,1,1,3] 001111000=>000111100=>[4,1,1,1,3] 001111001=>100111100=>[1,3,1,1,1,3] 001111010=>010111100=>[2,2,1,1,1,3] 001111011=>110111100=>[1,1,2,1,1,1,3] 001111100=>001111100=>[3,1,1,1,1,3] 001111101=>101111100=>[1,2,1,1,1,1,3] 001111110=>011111100=>[2,1,1,1,1,1,3] 001111111=>111111100=>[1,1,1,1,1,1,1,3] 010000000=>000000010=>[8,2] 010000001=>100000010=>[1,7,2] 010000010=>010000010=>[2,6,2] 010000011=>110000010=>[1,1,6,2] 010000100=>001000010=>[3,5,2] 010000101=>101000010=>[1,2,5,2] 010000110=>011000010=>[2,1,5,2] 010000111=>111000010=>[1,1,1,5,2] 010001000=>000100010=>[4,4,2] 010001001=>100100010=>[1,3,4,2] 010001010=>010100010=>[2,2,4,2] 010001011=>110100010=>[1,1,2,4,2] 010001100=>001100010=>[3,1,4,2] 010001101=>101100010=>[1,2,1,4,2] 010001110=>011100010=>[2,1,1,4,2] 010001111=>111100010=>[1,1,1,1,4,2] 010010000=>000010010=>[5,3,2] 010010001=>100010010=>[1,4,3,2] 010010010=>010010010=>[2,3,3,2] 010010011=>110010010=>[1,1,3,3,2] 010010100=>001010010=>[3,2,3,2] 010010101=>101010010=>[1,2,2,3,2] 010010110=>011010010=>[2,1,2,3,2] 010010111=>111010010=>[1,1,1,2,3,2] 010011000=>000110010=>[4,1,3,2] 010011001=>100110010=>[1,3,1,3,2] 010011010=>010110010=>[2,2,1,3,2] 010011011=>110110010=>[1,1,2,1,3,2] 010011100=>001110010=>[3,1,1,3,2] 010011101=>101110010=>[1,2,1,1,3,2] 010011110=>011110010=>[2,1,1,1,3,2] 010011111=>111110010=>[1,1,1,1,1,3,2] 010100000=>000001010=>[6,2,2] 010100001=>100001010=>[1,5,2,2] 010100010=>010001010=>[2,4,2,2] 010100011=>110001010=>[1,1,4,2,2] 010100100=>001001010=>[3,3,2,2] 010100101=>101001010=>[1,2,3,2,2] 010100110=>011001010=>[2,1,3,2,2] 010100111=>111001010=>[1,1,1,3,2,2] 010101000=>000101010=>[4,2,2,2] 010101001=>100101010=>[1,3,2,2,2] 010101010=>010101010=>[2,2,2,2,2] 010101011=>110101010=>[1,1,2,2,2,2] 010101100=>001101010=>[3,1,2,2,2] 010101101=>101101010=>[1,2,1,2,2,2] 010101110=>011101010=>[2,1,1,2,2,2] 010101111=>111101010=>[1,1,1,1,2,2,2] 010110000=>000011010=>[5,1,2,2] 010110001=>100011010=>[1,4,1,2,2] 010110010=>010011010=>[2,3,1,2,2] 010110011=>110011010=>[1,1,3,1,2,2] 010110100=>001011010=>[3,2,1,2,2] 010110101=>101011010=>[1,2,2,1,2,2] 010110110=>011011010=>[2,1,2,1,2,2] 010110111=>111011010=>[1,1,1,2,1,2,2] 010111000=>000111010=>[4,1,1,2,2] 010111001=>100111010=>[1,3,1,1,2,2] 010111010=>010111010=>[2,2,1,1,2,2] 010111011=>110111010=>[1,1,2,1,1,2,2] 010111100=>001111010=>[3,1,1,1,2,2] 010111101=>101111010=>[1,2,1,1,1,2,2] 010111110=>011111010=>[2,1,1,1,1,2,2] 010111111=>111111010=>[1,1,1,1,1,1,2,2] 011000000=>000000110=>[7,1,2] 011000001=>100000110=>[1,6,1,2] 011000010=>010000110=>[2,5,1,2] 011000011=>110000110=>[1,1,5,1,2] 011000100=>001000110=>[3,4,1,2] 011000101=>101000110=>[1,2,4,1,2] 011000110=>011000110=>[2,1,4,1,2] 011000111=>111000110=>[1,1,1,4,1,2] 011001000=>000100110=>[4,3,1,2] 011001001=>100100110=>[1,3,3,1,2] 011001010=>010100110=>[2,2,3,1,2] 011001011=>110100110=>[1,1,2,3,1,2] 011001100=>001100110=>[3,1,3,1,2] 011001101=>101100110=>[1,2,1,3,1,2] 011001110=>011100110=>[2,1,1,3,1,2] 011001111=>111100110=>[1,1,1,1,3,1,2] 011010000=>000010110=>[5,2,1,2] 011010001=>100010110=>[1,4,2,1,2] 011010010=>010010110=>[2,3,2,1,2] 011010011=>110010110=>[1,1,3,2,1,2] 011010100=>001010110=>[3,2,2,1,2] 011010101=>101010110=>[1,2,2,2,1,2] 011010110=>011010110=>[2,1,2,2,1,2] 011010111=>111010110=>[1,1,1,2,2,1,2] 011011000=>000110110=>[4,1,2,1,2] 011011001=>100110110=>[1,3,1,2,1,2] 011011010=>010110110=>[2,2,1,2,1,2] 011011011=>110110110=>[1,1,2,1,2,1,2] 011011100=>001110110=>[3,1,1,2,1,2] 011011101=>101110110=>[1,2,1,1,2,1,2] 011011110=>011110110=>[2,1,1,1,2,1,2] 011011111=>111110110=>[1,1,1,1,1,2,1,2] 011100000=>000001110=>[6,1,1,2] 011100001=>100001110=>[1,5,1,1,2] 011100010=>010001110=>[2,4,1,1,2] 011100011=>110001110=>[1,1,4,1,1,2] 011100100=>001001110=>[3,3,1,1,2] 011100101=>101001110=>[1,2,3,1,1,2] 011100110=>011001110=>[2,1,3,1,1,2] 011100111=>111001110=>[1,1,1,3,1,1,2] 011101000=>000101110=>[4,2,1,1,2] 011101001=>100101110=>[1,3,2,1,1,2] 011101010=>010101110=>[2,2,2,1,1,2] 011101011=>110101110=>[1,1,2,2,1,1,2] 011101100=>001101110=>[3,1,2,1,1,2] 011101101=>101101110=>[1,2,1,2,1,1,2] 011101110=>011101110=>[2,1,1,2,1,1,2] 011101111=>111101110=>[1,1,1,1,2,1,1,2] 011110000=>000011110=>[5,1,1,1,2] 011110001=>100011110=>[1,4,1,1,1,2] 011110010=>010011110=>[2,3,1,1,1,2] 011110011=>110011110=>[1,1,3,1,1,1,2] 011110100=>001011110=>[3,2,1,1,1,2] 011110101=>101011110=>[1,2,2,1,1,1,2] 011110110=>011011110=>[2,1,2,1,1,1,2] 011110111=>111011110=>[1,1,1,2,1,1,1,2] 011111000=>000111110=>[4,1,1,1,1,2] 011111001=>100111110=>[1,3,1,1,1,1,2] 011111010=>010111110=>[2,2,1,1,1,1,2] 011111011=>110111110=>[1,1,2,1,1,1,1,2] 011111100=>001111110=>[3,1,1,1,1,1,2] 011111101=>101111110=>[1,2,1,1,1,1,1,2] 011111110=>011111110=>[2,1,1,1,1,1,1,2] 011111111=>111111110=>[1,1,1,1,1,1,1,1,2] 100000000=>000000001=>[9,1] 100000001=>100000001=>[1,8,1] 100000010=>010000001=>[2,7,1] 100000011=>110000001=>[1,1,7,1] 100000100=>001000001=>[3,6,1] 100000101=>101000001=>[1,2,6,1] 100000110=>011000001=>[2,1,6,1] 100000111=>111000001=>[1,1,1,6,1] 100001000=>000100001=>[4,5,1] 100001001=>100100001=>[1,3,5,1] 100001010=>010100001=>[2,2,5,1] 100001011=>110100001=>[1,1,2,5,1] 100001100=>001100001=>[3,1,5,1] 100001101=>101100001=>[1,2,1,5,1] 100001110=>011100001=>[2,1,1,5,1] 100001111=>111100001=>[1,1,1,1,5,1] 100010000=>000010001=>[5,4,1] 100010001=>100010001=>[1,4,4,1] 100010010=>010010001=>[2,3,4,1] 100010011=>110010001=>[1,1,3,4,1] 100010100=>001010001=>[3,2,4,1] 100010101=>101010001=>[1,2,2,4,1] 100010110=>011010001=>[2,1,2,4,1] 100010111=>111010001=>[1,1,1,2,4,1] 100011000=>000110001=>[4,1,4,1] 100011001=>100110001=>[1,3,1,4,1] 100011010=>010110001=>[2,2,1,4,1] 100011011=>110110001=>[1,1,2,1,4,1] 100011100=>001110001=>[3,1,1,4,1] 100011101=>101110001=>[1,2,1,1,4,1] 100011110=>011110001=>[2,1,1,1,4,1] 100011111=>111110001=>[1,1,1,1,1,4,1] 100100000=>000001001=>[6,3,1] 100100001=>100001001=>[1,5,3,1] 100100010=>010001001=>[2,4,3,1] 100100011=>110001001=>[1,1,4,3,1] 100100100=>001001001=>[3,3,3,1] 100100101=>101001001=>[1,2,3,3,1] 100100110=>011001001=>[2,1,3,3,1] 100100111=>111001001=>[1,1,1,3,3,1] 100101000=>000101001=>[4,2,3,1] 100101001=>100101001=>[1,3,2,3,1] 100101010=>010101001=>[2,2,2,3,1] 100101011=>110101001=>[1,1,2,2,3,1] 100101100=>001101001=>[3,1,2,3,1] 100101101=>101101001=>[1,2,1,2,3,1] 100101110=>011101001=>[2,1,1,2,3,1] 100101111=>111101001=>[1,1,1,1,2,3,1] 100110000=>000011001=>[5,1,3,1] 100110001=>100011001=>[1,4,1,3,1] 100110010=>010011001=>[2,3,1,3,1] 100110011=>110011001=>[1,1,3,1,3,1] 100110100=>001011001=>[3,2,1,3,1] 100110101=>101011001=>[1,2,2,1,3,1] 100110110=>011011001=>[2,1,2,1,3,1] 100110111=>111011001=>[1,1,1,2,1,3,1] 100111000=>000111001=>[4,1,1,3,1] 100111001=>100111001=>[1,3,1,1,3,1] 100111010=>010111001=>[2,2,1,1,3,1] 100111011=>110111001=>[1,1,2,1,1,3,1] 100111100=>001111001=>[3,1,1,1,3,1] 100111101=>101111001=>[1,2,1,1,1,3,1] 100111110=>011111001=>[2,1,1,1,1,3,1] 100111111=>111111001=>[1,1,1,1,1,1,3,1] 101000000=>000000101=>[7,2,1] 101000001=>100000101=>[1,6,2,1] 101000010=>010000101=>[2,5,2,1] 101000011=>110000101=>[1,1,5,2,1] 101000100=>001000101=>[3,4,2,1] 101000101=>101000101=>[1,2,4,2,1] 101000110=>011000101=>[2,1,4,2,1] 101000111=>111000101=>[1,1,1,4,2,1] 101001000=>000100101=>[4,3,2,1] 101001001=>100100101=>[1,3,3,2,1] 101001010=>010100101=>[2,2,3,2,1] 101001011=>110100101=>[1,1,2,3,2,1] 101001100=>001100101=>[3,1,3,2,1] 101001101=>101100101=>[1,2,1,3,2,1] 101001110=>011100101=>[2,1,1,3,2,1] 101001111=>111100101=>[1,1,1,1,3,2,1] 101010000=>000010101=>[5,2,2,1] 101010001=>100010101=>[1,4,2,2,1] 101010010=>010010101=>[2,3,2,2,1] 101010011=>110010101=>[1,1,3,2,2,1] 101010100=>001010101=>[3,2,2,2,1] 101010101=>101010101=>[1,2,2,2,2,1] 101010110=>011010101=>[2,1,2,2,2,1] 101010111=>111010101=>[1,1,1,2,2,2,1] 101011000=>000110101=>[4,1,2,2,1] 101011001=>100110101=>[1,3,1,2,2,1] 101011010=>010110101=>[2,2,1,2,2,1] 101011011=>110110101=>[1,1,2,1,2,2,1] 101011100=>001110101=>[3,1,1,2,2,1] 101011101=>101110101=>[1,2,1,1,2,2,1] 101011110=>011110101=>[2,1,1,1,2,2,1] 101011111=>111110101=>[1,1,1,1,1,2,2,1] 101100000=>000001101=>[6,1,2,1] 101100001=>100001101=>[1,5,1,2,1] 101100010=>010001101=>[2,4,1,2,1] 101100011=>110001101=>[1,1,4,1,2,1] 101100100=>001001101=>[3,3,1,2,1] 101100101=>101001101=>[1,2,3,1,2,1] 101100110=>011001101=>[2,1,3,1,2,1] 101100111=>111001101=>[1,1,1,3,1,2,1] 101101000=>000101101=>[4,2,1,2,1] 101101001=>100101101=>[1,3,2,1,2,1] 101101010=>010101101=>[2,2,2,1,2,1] 101101011=>110101101=>[1,1,2,2,1,2,1] 101101100=>001101101=>[3,1,2,1,2,1] 101101101=>101101101=>[1,2,1,2,1,2,1] 101101110=>011101101=>[2,1,1,2,1,2,1] 101101111=>111101101=>[1,1,1,1,2,1,2,1] 101110000=>000011101=>[5,1,1,2,1] 101110001=>100011101=>[1,4,1,1,2,1] 101110010=>010011101=>[2,3,1,1,2,1] 101110011=>110011101=>[1,1,3,1,1,2,1] 101110100=>001011101=>[3,2,1,1,2,1] 101110101=>101011101=>[1,2,2,1,1,2,1] 101110110=>011011101=>[2,1,2,1,1,2,1] 101110111=>111011101=>[1,1,1,2,1,1,2,1] 101111000=>000111101=>[4,1,1,1,2,1] 101111001=>100111101=>[1,3,1,1,1,2,1] 101111010=>010111101=>[2,2,1,1,1,2,1] 101111011=>110111101=>[1,1,2,1,1,1,2,1] 101111100=>001111101=>[3,1,1,1,1,2,1] 101111101=>101111101=>[1,2,1,1,1,1,2,1] 101111110=>011111101=>[2,1,1,1,1,1,2,1] 101111111=>111111101=>[1,1,1,1,1,1,1,2,1] 110000000=>000000011=>[8,1,1] 110000001=>100000011=>[1,7,1,1] 110000010=>010000011=>[2,6,1,1] 110000011=>110000011=>[1,1,6,1,1] 110000100=>001000011=>[3,5,1,1] 110000101=>101000011=>[1,2,5,1,1] 110000110=>011000011=>[2,1,5,1,1] 110000111=>111000011=>[1,1,1,5,1,1] 110001000=>000100011=>[4,4,1,1] 110001001=>100100011=>[1,3,4,1,1] 110001010=>010100011=>[2,2,4,1,1] 110001011=>110100011=>[1,1,2,4,1,1] 110001100=>001100011=>[3,1,4,1,1] 110001101=>101100011=>[1,2,1,4,1,1] 110001110=>011100011=>[2,1,1,4,1,1] 110001111=>111100011=>[1,1,1,1,4,1,1] 110010000=>000010011=>[5,3,1,1] 110010001=>100010011=>[1,4,3,1,1] 110010010=>010010011=>[2,3,3,1,1] 110010011=>110010011=>[1,1,3,3,1,1] 110010100=>001010011=>[3,2,3,1,1] 110010101=>101010011=>[1,2,2,3,1,1] 110010110=>011010011=>[2,1,2,3,1,1] 110010111=>111010011=>[1,1,1,2,3,1,1] 110011000=>000110011=>[4,1,3,1,1] 110011001=>100110011=>[1,3,1,3,1,1] 110011010=>010110011=>[2,2,1,3,1,1] 110011011=>110110011=>[1,1,2,1,3,1,1] 110011100=>001110011=>[3,1,1,3,1,1] 110011101=>101110011=>[1,2,1,1,3,1,1] 110011110=>011110011=>[2,1,1,1,3,1,1] 110011111=>111110011=>[1,1,1,1,1,3,1,1] 110100000=>000001011=>[6,2,1,1] 110100001=>100001011=>[1,5,2,1,1] 110100010=>010001011=>[2,4,2,1,1] 110100011=>110001011=>[1,1,4,2,1,1] 110100100=>001001011=>[3,3,2,1,1] 110100101=>101001011=>[1,2,3,2,1,1] 110100110=>011001011=>[2,1,3,2,1,1] 110100111=>111001011=>[1,1,1,3,2,1,1] 110101000=>000101011=>[4,2,2,1,1] 110101001=>100101011=>[1,3,2,2,1,1] 110101010=>010101011=>[2,2,2,2,1,1] 110101011=>110101011=>[1,1,2,2,2,1,1] 110101100=>001101011=>[3,1,2,2,1,1] 110101101=>101101011=>[1,2,1,2,2,1,1] 110101110=>011101011=>[2,1,1,2,2,1,1] 110101111=>111101011=>[1,1,1,1,2,2,1,1] 110110000=>000011011=>[5,1,2,1,1] 110110001=>100011011=>[1,4,1,2,1,1] 110110010=>010011011=>[2,3,1,2,1,1] 110110011=>110011011=>[1,1,3,1,2,1,1] 110110100=>001011011=>[3,2,1,2,1,1] 110110101=>101011011=>[1,2,2,1,2,1,1] 110110110=>011011011=>[2,1,2,1,2,1,1] 110110111=>111011011=>[1,1,1,2,1,2,1,1] 110111000=>000111011=>[4,1,1,2,1,1] 110111001=>100111011=>[1,3,1,1,2,1,1] 110111010=>010111011=>[2,2,1,1,2,1,1] 110111011=>110111011=>[1,1,2,1,1,2,1,1] 110111100=>001111011=>[3,1,1,1,2,1,1] 110111101=>101111011=>[1,2,1,1,1,2,1,1] 110111110=>011111011=>[2,1,1,1,1,2,1,1] 110111111=>111111011=>[1,1,1,1,1,1,2,1,1] 111000000=>000000111=>[7,1,1,1] 111000001=>100000111=>[1,6,1,1,1] 111000010=>010000111=>[2,5,1,1,1] 111000011=>110000111=>[1,1,5,1,1,1] 111000100=>001000111=>[3,4,1,1,1] 111000101=>101000111=>[1,2,4,1,1,1] 111000110=>011000111=>[2,1,4,1,1,1] 111000111=>111000111=>[1,1,1,4,1,1,1] 111001000=>000100111=>[4,3,1,1,1] 111001001=>100100111=>[1,3,3,1,1,1] 111001010=>010100111=>[2,2,3,1,1,1] 111001011=>110100111=>[1,1,2,3,1,1,1] 111001100=>001100111=>[3,1,3,1,1,1] 111001101=>101100111=>[1,2,1,3,1,1,1] 111001110=>011100111=>[2,1,1,3,1,1,1] 111001111=>111100111=>[1,1,1,1,3,1,1,1] 111010000=>000010111=>[5,2,1,1,1] 111010001=>100010111=>[1,4,2,1,1,1] 111010010=>010010111=>[2,3,2,1,1,1] 111010011=>110010111=>[1,1,3,2,1,1,1] 111010100=>001010111=>[3,2,2,1,1,1] 111010101=>101010111=>[1,2,2,2,1,1,1] 111010110=>011010111=>[2,1,2,2,1,1,1] 111010111=>111010111=>[1,1,1,2,2,1,1,1] 111011000=>000110111=>[4,1,2,1,1,1] 111011001=>100110111=>[1,3,1,2,1,1,1] 111011010=>010110111=>[2,2,1,2,1,1,1] 111011011=>110110111=>[1,1,2,1,2,1,1,1] 111011100=>001110111=>[3,1,1,2,1,1,1] 111011101=>101110111=>[1,2,1,1,2,1,1,1] 111011110=>011110111=>[2,1,1,1,2,1,1,1] 111011111=>111110111=>[1,1,1,1,1,2,1,1,1] 111100000=>000001111=>[6,1,1,1,1] 111100001=>100001111=>[1,5,1,1,1,1] 111100010=>010001111=>[2,4,1,1,1,1] 111100011=>110001111=>[1,1,4,1,1,1,1] 111100100=>001001111=>[3,3,1,1,1,1] 111100101=>101001111=>[1,2,3,1,1,1,1] 111100110=>011001111=>[2,1,3,1,1,1,1] 111100111=>111001111=>[1,1,1,3,1,1,1,1] 111101000=>000101111=>[4,2,1,1,1,1] 111101001=>100101111=>[1,3,2,1,1,1,1] 111101010=>010101111=>[2,2,2,1,1,1,1] 111101011=>110101111=>[1,1,2,2,1,1,1,1] 111101100=>001101111=>[3,1,2,1,1,1,1] 111101101=>101101111=>[1,2,1,2,1,1,1,1] 111101110=>011101111=>[2,1,1,2,1,1,1,1] 111101111=>111101111=>[1,1,1,1,2,1,1,1,1] 111110000=>000011111=>[5,1,1,1,1,1] 111110001=>100011111=>[1,4,1,1,1,1,1] 111110010=>010011111=>[2,3,1,1,1,1,1] 111110011=>110011111=>[1,1,3,1,1,1,1,1] 111110100=>001011111=>[3,2,1,1,1,1,1] 111110101=>101011111=>[1,2,2,1,1,1,1,1] 111110110=>011011111=>[2,1,2,1,1,1,1,1] 111110111=>111011111=>[1,1,1,2,1,1,1,1,1] 111111000=>000111111=>[4,1,1,1,1,1,1] 111111001=>100111111=>[1,3,1,1,1,1,1,1] 111111010=>010111111=>[2,2,1,1,1,1,1,1] 111111011=>110111111=>[1,1,2,1,1,1,1,1,1] 111111100=>001111111=>[3,1,1,1,1,1,1,1] 111111101=>101111111=>[1,2,1,1,1,1,1,1,1] 111111110=>011111111=>[2,1,1,1,1,1,1,1,1] 111111111=>111111111=>[1,1,1,1,1,1,1,1,1,1] 1010101010=>0101010101=>[2,2,2,2,2,1] 1010101100=>0011010101=>[3,1,2,2,2,1] 1010110010=>0100110101=>[2,3,1,2,2,1] 1010110100=>0010110101=>[3,2,1,2,2,1] 1010111000=>0001110101=>[4,1,1,2,2,1] 1011001010=>0101001101=>[2,2,3,1,2,1] 1011001100=>0011001101=>[3,1,3,1,2,1] 1011010010=>0100101101=>[2,3,2,1,2,1] 1011010100=>0010101101=>[3,2,2,1,2,1] 1011011000=>0001101101=>[4,1,2,1,2,1] 1011100010=>0100011101=>[2,4,1,1,2,1] 1011100100=>0010011101=>[3,3,1,1,2,1] 1011101000=>0001011101=>[4,2,1,1,2,1] 1011110000=>0000111101=>[5,1,1,1,2,1] 1100101010=>0101010011=>[2,2,2,3,1,1] 1100101100=>0011010011=>[3,1,2,3,1,1] 1100110010=>0100110011=>[2,3,1,3,1,1] 1100110100=>0010110011=>[3,2,1,3,1,1] 1100111000=>0001110011=>[4,1,1,3,1,1] 1101001010=>0101001011=>[2,2,3,2,1,1] 1101001100=>0011001011=>[3,1,3,2,1,1] 1101010010=>0100101011=>[2,3,2,2,1,1] 1101010100=>0010101011=>[3,2,2,2,1,1] 1101011000=>0001101011=>[4,1,2,2,1,1] 1101100010=>0100011011=>[2,4,1,2,1,1] 1101100100=>0010011011=>[3,3,1,2,1,1] 1101101000=>0001011011=>[4,2,1,2,1,1] 1101110000=>0000111011=>[5,1,1,2,1,1] 1110001010=>0101000111=>[2,2,4,1,1,1] 1110001100=>0011000111=>[3,1,4,1,1,1] 1110010010=>0100100111=>[2,3,3,1,1,1] 1110010100=>0010100111=>[3,2,3,1,1,1] 1110011000=>0001100111=>[4,1,3,1,1,1] 1110100010=>0100010111=>[2,4,2,1,1,1] 1110100100=>0010010111=>[3,3,2,1,1,1] 1110101000=>0001010111=>[4,2,2,1,1,1] 1110110000=>0000110111=>[5,1,2,1,1,1] 1111000010=>0100001111=>[2,5,1,1,1,1] 1111000100=>0010001111=>[3,4,1,1,1,1] 1111001000=>0001001111=>[4,3,1,1,1,1] 1111010000=>0000101111=>[5,2,1,1,1,1] 1111100000=>0000011111=>[6,1,1,1,1,1] 101010101010=>010101010101=>[2,2,2,2,2,2,1] 101010101100=>001101010101=>[3,1,2,2,2,2,1] 101010110010=>010011010101=>[2,3,1,2,2,2,1] 101010110100=>001011010101=>[3,2,1,2,2,2,1] 101010111000=>000111010101=>[4,1,1,2,2,2,1] 101011001010=>010100110101=>[2,2,3,1,2,2,1] 101011001100=>001100110101=>[3,1,3,1,2,2,1] 101011010010=>010010110101=>[2,3,2,1,2,2,1] 101011010100=>001010110101=>[3,2,2,1,2,2,1] 101011011000=>000110110101=>[4,1,2,1,2,2,1] 101011100010=>010001110101=>[2,4,1,1,2,2,1] 101011100100=>001001110101=>[3,3,1,1,2,2,1] 101011101000=>000101110101=>[4,2,1,1,2,2,1] 101011110000=>000011110101=>[5,1,1,1,2,2,1] 101100101010=>010101001101=>[2,2,2,3,1,2,1] 101100101100=>001101001101=>[3,1,2,3,1,2,1] 101100110010=>010011001101=>[2,3,1,3,1,2,1] 101100110100=>001011001101=>[3,2,1,3,1,2,1] 101100111000=>000111001101=>[4,1,1,3,1,2,1] 101101001010=>010100101101=>[2,2,3,2,1,2,1] 101101001100=>001100101101=>[3,1,3,2,1,2,1] 101101010010=>010010101101=>[2,3,2,2,1,2,1] 101101010100=>001010101101=>[3,2,2,2,1,2,1] 101101011000=>000110101101=>[4,1,2,2,1,2,1] 101101100010=>010001101101=>[2,4,1,2,1,2,1] 101101100100=>001001101101=>[3,3,1,2,1,2,1] 101101101000=>000101101101=>[4,2,1,2,1,2,1] 101101110000=>000011101101=>[5,1,1,2,1,2,1] 101110001010=>010100011101=>[2,2,4,1,1,2,1] 101110001100=>001100011101=>[3,1,4,1,1,2,1] 101110010010=>010010011101=>[2,3,3,1,1,2,1] 101110010100=>001010011101=>[3,2,3,1,1,2,1] 101110011000=>000110011101=>[4,1,3,1,1,2,1] 101110100010=>010001011101=>[2,4,2,1,1,2,1] 101110100100=>001001011101=>[3,3,2,1,1,2,1] 101110101000=>000101011101=>[4,2,2,1,1,2,1] 101110110000=>000011011101=>[5,1,2,1,1,2,1] 101111000010=>010000111101=>[2,5,1,1,1,2,1] 101111000100=>001000111101=>[3,4,1,1,1,2,1] 101111001000=>000100111101=>[4,3,1,1,1,2,1] 101111010000=>000010111101=>[5,2,1,1,1,2,1] 101111100000=>000001111101=>[6,1,1,1,1,2,1] 110010101010=>010101010011=>[2,2,2,2,3,1,1] 110010101100=>001101010011=>[3,1,2,2,3,1,1] 110010110010=>010011010011=>[2,3,1,2,3,1,1] 110010110100=>001011010011=>[3,2,1,2,3,1,1] 110010111000=>000111010011=>[4,1,1,2,3,1,1] 110011001010=>010100110011=>[2,2,3,1,3,1,1] 110011001100=>001100110011=>[3,1,3,1,3,1,1] 110011010010=>010010110011=>[2,3,2,1,3,1,1] 110011010100=>001010110011=>[3,2,2,1,3,1,1] 110011011000=>000110110011=>[4,1,2,1,3,1,1] 110011100010=>010001110011=>[2,4,1,1,3,1,1] 110011100100=>001001110011=>[3,3,1,1,3,1,1] 110011101000=>000101110011=>[4,2,1,1,3,1,1] 110011110000=>000011110011=>[5,1,1,1,3,1,1] 110100101010=>010101001011=>[2,2,2,3,2,1,1] 110100101100=>001101001011=>[3,1,2,3,2,1,1] 110100110010=>010011001011=>[2,3,1,3,2,1,1] 110100110100=>001011001011=>[3,2,1,3,2,1,1] 110100111000=>000111001011=>[4,1,1,3,2,1,1] 110101001010=>010100101011=>[2,2,3,2,2,1,1] 110101001100=>001100101011=>[3,1,3,2,2,1,1] 110101010010=>010010101011=>[2,3,2,2,2,1,1] 110101010100=>001010101011=>[3,2,2,2,2,1,1] 110101011000=>000110101011=>[4,1,2,2,2,1,1] 110101100010=>010001101011=>[2,4,1,2,2,1,1] 110101100100=>001001101011=>[3,3,1,2,2,1,1] 110101101000=>000101101011=>[4,2,1,2,2,1,1] 110101110000=>000011101011=>[5,1,1,2,2,1,1] 110110001010=>010100011011=>[2,2,4,1,2,1,1] 110110001100=>001100011011=>[3,1,4,1,2,1,1] 110110010010=>010010011011=>[2,3,3,1,2,1,1] 110110010100=>001010011011=>[3,2,3,1,2,1,1] 110110011000=>000110011011=>[4,1,3,1,2,1,1] 110110100010=>010001011011=>[2,4,2,1,2,1,1] 110110100100=>001001011011=>[3,3,2,1,2,1,1] 110110101000=>000101011011=>[4,2,2,1,2,1,1] 110110110000=>000011011011=>[5,1,2,1,2,1,1] 110111000010=>010000111011=>[2,5,1,1,2,1,1] 110111000100=>001000111011=>[3,4,1,1,2,1,1] 110111001000=>000100111011=>[4,3,1,1,2,1,1] 110111010000=>000010111011=>[5,2,1,1,2,1,1] 110111100000=>000001111011=>[6,1,1,1,2,1,1] 111000101010=>010101000111=>[2,2,2,4,1,1,1] 111000101100=>001101000111=>[3,1,2,4,1,1,1] 111000110010=>010011000111=>[2,3,1,4,1,1,1] 111000110100=>001011000111=>[3,2,1,4,1,1,1] 111000111000=>000111000111=>[4,1,1,4,1,1,1] 111001001010=>010100100111=>[2,2,3,3,1,1,1] 111001001100=>001100100111=>[3,1,3,3,1,1,1] 111001010010=>010010100111=>[2,3,2,3,1,1,1] 111001010100=>001010100111=>[3,2,2,3,1,1,1] 111001011000=>000110100111=>[4,1,2,3,1,1,1] 111001100010=>010001100111=>[2,4,1,3,1,1,1] 111001100100=>001001100111=>[3,3,1,3,1,1,1] 111001101000=>000101100111=>[4,2,1,3,1,1,1] 111001110000=>000011100111=>[5,1,1,3,1,1,1] 111010001010=>010100010111=>[2,2,4,2,1,1,1] 111010001100=>001100010111=>[3,1,4,2,1,1,1] 111010010010=>010010010111=>[2,3,3,2,1,1,1] 111010010100=>001010010111=>[3,2,3,2,1,1,1] 111010011000=>000110010111=>[4,1,3,2,1,1,1] 111010100010=>010001010111=>[2,4,2,2,1,1,1] 111010100100=>001001010111=>[3,3,2,2,1,1,1] 111010101000=>000101010111=>[4,2,2,2,1,1,1] 111010110000=>000011010111=>[5,1,2,2,1,1,1] 111011000010=>010000110111=>[2,5,1,2,1,1,1] 111011000100=>001000110111=>[3,4,1,2,1,1,1] 111011001000=>000100110111=>[4,3,1,2,1,1,1] 111011010000=>000010110111=>[5,2,1,2,1,1,1] 111011100000=>000001110111=>[6,1,1,2,1,1,1] 111100001010=>010100001111=>[2,2,5,1,1,1,1] 111100001100=>001100001111=>[3,1,5,1,1,1,1] 111100010010=>010010001111=>[2,3,4,1,1,1,1] 111100010100=>001010001111=>[3,2,4,1,1,1,1] 111100011000=>000110001111=>[4,1,4,1,1,1,1] 111100100010=>010001001111=>[2,4,3,1,1,1,1] 111100100100=>001001001111=>[3,3,3,1,1,1,1] 111100101000=>000101001111=>[4,2,3,1,1,1,1] 111100110000=>000011001111=>[5,1,3,1,1,1,1] 111101000010=>010000101111=>[2,5,2,1,1,1,1] 111101000100=>001000101111=>[3,4,2,1,1,1,1] 111101001000=>000100101111=>[4,3,2,1,1,1,1] 111101010000=>000010101111=>[5,2,2,1,1,1,1] 111101100000=>000001101111=>[6,1,2,1,1,1,1] 111110000010=>010000011111=>[2,6,1,1,1,1,1] 111110000100=>001000011111=>[3,5,1,1,1,1,1] 111110001000=>000100011111=>[4,4,1,1,1,1,1] 111110010000=>000010011111=>[5,3,1,1,1,1,1] 111110100000=>000001011111=>[6,2,1,1,1,1,1] 111111000000=>000000111111=>[7,1,1,1,1,1,1] 10101010101010=>01010101010101=>[2,2,2,2,2,2,2,1] 10101010101100=>00110101010101=>[3,1,2,2,2,2,2,1] 10101010110100=>00101101010101=>[3,2,1,2,2,2,2,1] 10101010111000=>00011101010101=>[4,1,1,2,2,2,2,1] 10101011010100=>00101011010101=>[3,2,2,1,2,2,2,1] 10101011100100=>00100111010101=>[3,3,1,1,2,2,2,1] 10101011101000=>00010111010101=>[4,2,1,1,2,2,2,1] 10101011110000=>00001111010101=>[5,1,1,1,2,2,2,1] 10101101010100=>00101010110101=>[3,2,2,2,1,2,2,1] 10101110010100=>00101001110101=>[3,2,3,1,1,2,2,1] 10101110100100=>00100101110101=>[3,3,2,1,1,2,2,1] 10101110101000=>00010101110101=>[4,2,2,1,1,2,2,1] 10101110110000=>00001101110101=>[5,1,2,1,1,2,2,1] 10101111000100=>00100011110101=>[3,4,1,1,1,2,2,1] 10101111010000=>00001011110101=>[5,2,1,1,1,2,2,1] 10110101010100=>00101010101101=>[3,2,2,2,2,1,2,1] 10110111100000=>00000111101101=>[6,1,1,1,2,1,2,1] 10111001010100=>00101010011101=>[3,2,2,3,1,1,2,1] 10111010010100=>00101001011101=>[3,2,3,2,1,1,2,1] 10111010100100=>00100101011101=>[3,3,2,2,1,1,2,1] 10111011000100=>00100011011101=>[3,4,1,2,1,1,2,1] 10111011010000=>00001011011101=>[5,2,1,2,1,1,2,1] 10111011100000=>00000111011101=>[6,1,1,2,1,1,2,1] 10111100010100=>00101000111101=>[3,2,4,1,1,1,2,1] 10111100110000=>00001100111101=>[5,1,3,1,1,1,2,1] 10111101000100=>00100010111101=>[3,4,2,1,1,1,2,1] 10111101001000=>00010010111101=>[4,3,2,1,1,1,2,1] 10111101010000=>00001010111101=>[5,2,2,1,1,1,2,1] 10111101100000=>00000110111101=>[6,1,2,1,1,1,2,1] 10111110000100=>00100001111101=>[3,5,1,1,1,1,2,1] 10111110001000=>00010001111101=>[4,4,1,1,1,1,2,1] 10111110010000=>00001001111101=>[5,3,1,1,1,1,2,1] 10111110100000=>00000101111101=>[6,2,1,1,1,1,2,1] 10111111000000=>00000011111101=>[7,1,1,1,1,1,2,1] 11001010101010=>01010101010011=>[2,2,2,2,2,3,1,1] 11001111100000=>00000111110011=>[6,1,1,1,1,3,1,1] 11010010101010=>01010101001011=>[2,2,2,2,3,2,1,1] 11010100101010=>01010100101011=>[2,2,2,3,2,2,1,1] 11010101001010=>01010010101011=>[2,2,3,2,2,2,1,1] 11010101010010=>01001010101011=>[2,3,2,2,2,2,1,1] 11010101010100=>00101010101011=>[3,2,2,2,2,2,1,1] 11010101011000=>00011010101011=>[4,1,2,2,2,2,1,1] 11010101100010=>01000110101011=>[2,4,1,2,2,2,1,1] 11010101100100=>00100110101011=>[3,3,1,2,2,2,1,1] 11010101101000=>00010110101011=>[4,2,1,2,2,2,1,1] 11010101110000=>00001110101011=>[5,1,1,2,2,2,1,1] 11010110001010=>01010001101011=>[2,2,4,1,2,2,1,1] 11010110010100=>00101001101011=>[3,2,3,1,2,2,1,1] 11010110011000=>00011001101011=>[4,1,3,1,2,2,1,1] 11010110100010=>01000101101011=>[2,4,2,1,2,2,1,1] 11010110100100=>00100101101011=>[3,3,2,1,2,2,1,1] 11010110101000=>00010101101011=>[4,2,2,1,2,2,1,1] 11010110110000=>00001101101011=>[5,1,2,1,2,2,1,1] 11010111000010=>01000011101011=>[2,5,1,1,2,2,1,1] 11010111000100=>00100011101011=>[3,4,1,1,2,2,1,1] 11010111001000=>00010011101011=>[4,3,1,1,2,2,1,1] 11010111010000=>00001011101011=>[5,2,1,1,2,2,1,1] 11010111100000=>00000111101011=>[6,1,1,1,2,2,1,1] 11011000101010=>01010100011011=>[2,2,2,4,1,2,1,1] 11011001010100=>00101010011011=>[3,2,2,3,1,2,1,1] 11011001011000=>00011010011011=>[4,1,2,3,1,2,1,1] 11011001100100=>00100110011011=>[3,3,1,3,1,2,1,1] 11011001101000=>00010110011011=>[4,2,1,3,1,2,1,1] 11011001110000=>00001110011011=>[5,1,1,3,1,2,1,1] 11011010001010=>01010001011011=>[2,2,4,2,1,2,1,1] 11011010010100=>00101001011011=>[3,2,3,2,1,2,1,1] 11011010011000=>00011001011011=>[4,1,3,2,1,2,1,1] 11011010100010=>01000101011011=>[2,4,2,2,1,2,1,1] 11011010100100=>00100101011011=>[3,3,2,2,1,2,1,1] 11011010101000=>00010101011011=>[4,2,2,2,1,2,1,1] 11011010110000=>00001101011011=>[5,1,2,2,1,2,1,1] 11011011000100=>00100011011011=>[3,4,1,2,1,2,1,1] 11011011001000=>00010011011011=>[4,3,1,2,1,2,1,1] 11011011010000=>00001011011011=>[5,2,1,2,1,2,1,1] 11011011100000=>00000111011011=>[6,1,1,2,1,2,1,1] 11011100001010=>01010000111011=>[2,2,5,1,1,2,1,1] 11011100010100=>00101000111011=>[3,2,4,1,1,2,1,1] 11011100011000=>00011000111011=>[4,1,4,1,1,2,1,1] 11011100100010=>01000100111011=>[2,4,3,1,1,2,1,1] 11011100100100=>00100100111011=>[3,3,3,1,1,2,1,1] 11011100101000=>00010100111011=>[4,2,3,1,1,2,1,1] 11011100110000=>00001100111011=>[5,1,3,1,1,2,1,1] 11011101000010=>01000010111011=>[2,5,2,1,1,2,1,1] 11011101000100=>00100010111011=>[3,4,2,1,1,2,1,1] 11011101001000=>00010010111011=>[4,3,2,1,1,2,1,1] 11011101010000=>00001010111011=>[5,2,2,1,1,2,1,1] 11011101100000=>00000110111011=>[6,1,2,1,1,2,1,1] 11011110000010=>01000001111011=>[2,6,1,1,1,2,1,1] 11011110000100=>00100001111011=>[3,5,1,1,1,2,1,1] 11011110001000=>00010001111011=>[4,4,1,1,1,2,1,1] 11011110010000=>00001001111011=>[5,3,1,1,1,2,1,1] 11011110100000=>00000101111011=>[6,2,1,1,1,2,1,1] 11011111000000=>00000011111011=>[7,1,1,1,1,2,1,1] 11100010101010=>01010101000111=>[2,2,2,2,4,1,1,1] 11100101010100=>00101010100111=>[3,2,2,2,3,1,1,1] 11100101011000=>00011010100111=>[4,1,2,2,3,1,1,1] 11100101100100=>00100110100111=>[3,3,1,2,3,1,1,1] 11100101101000=>00010110100111=>[4,2,1,2,3,1,1,1] 11100101110000=>00001110100111=>[5,1,1,2,3,1,1,1] 11100110010100=>00101001100111=>[3,2,3,1,3,1,1,1] 11100110011000=>00011001100111=>[4,1,3,1,3,1,1,1] 11100110100100=>00100101100111=>[3,3,2,1,3,1,1,1] 11100110101000=>00010101100111=>[4,2,2,1,3,1,1,1] 11100110110000=>00001101100111=>[5,1,2,1,3,1,1,1] 11100111000100=>00100011100111=>[3,4,1,1,3,1,1,1] 11100111001000=>00010011100111=>[4,3,1,1,3,1,1,1] 11100111010000=>00001011100111=>[5,2,1,1,3,1,1,1] 11100111100000=>00000111100111=>[6,1,1,1,3,1,1,1] 11101000101010=>01010100010111=>[2,2,2,4,2,1,1,1] 11101001010100=>00101010010111=>[3,2,2,3,2,1,1,1] 11101001011000=>00011010010111=>[4,1,2,3,2,1,1,1] 11101001100100=>00100110010111=>[3,3,1,3,2,1,1,1] 11101001101000=>00010110010111=>[4,2,1,3,2,1,1,1] 11101001110000=>00001110010111=>[5,1,1,3,2,1,1,1] 11101010001010=>01010001010111=>[2,2,4,2,2,1,1,1] 11101010010100=>00101001010111=>[3,2,3,2,2,1,1,1] 11101010011000=>00011001010111=>[4,1,3,2,2,1,1,1] 11101010100100=>00100101010111=>[3,3,2,2,2,1,1,1] 11101010101000=>00010101010111=>[4,2,2,2,2,1,1,1] 11101010110000=>00001101010111=>[5,1,2,2,2,1,1,1] 11101011000100=>00100011010111=>[3,4,1,2,2,1,1,1] 11101011001000=>00010011010111=>[4,3,1,2,2,1,1,1] 11101011010000=>00001011010111=>[5,2,1,2,2,1,1,1] 11101011100000=>00000111010111=>[6,1,1,2,2,1,1,1] 11101100010100=>00101000110111=>[3,2,4,1,2,1,1,1] 11101100011000=>00011000110111=>[4,1,4,1,2,1,1,1] 11101100100100=>00100100110111=>[3,3,3,1,2,1,1,1] 11101100101000=>00010100110111=>[4,2,3,1,2,1,1,1] 11101100110000=>00001100110111=>[5,1,3,1,2,1,1,1] 11101101000010=>01000010110111=>[2,5,2,1,2,1,1,1] 11101101000100=>00100010110111=>[3,4,2,1,2,1,1,1] 11101101001000=>00010010110111=>[4,3,2,1,2,1,1,1] 11101101010000=>00001010110111=>[5,2,2,1,2,1,1,1] 11101101100000=>00000110110111=>[6,1,2,1,2,1,1,1] 11101110000010=>01000001110111=>[2,6,1,1,2,1,1,1] 11101110000100=>00100001110111=>[3,5,1,1,2,1,1,1] 11101110001000=>00010001110111=>[4,4,1,1,2,1,1,1] 11101110010000=>00001001110111=>[5,3,1,1,2,1,1,1] 11101110100000=>00000101110111=>[6,2,1,1,2,1,1,1] 11101111000000=>00000011110111=>[7,1,1,1,2,1,1,1] 11110000101010=>01010100001111=>[2,2,2,5,1,1,1,1] 11110001010100=>00101010001111=>[3,2,2,4,1,1,1,1] 11110001011000=>00011010001111=>[4,1,2,4,1,1,1,1] 11110001100100=>00100110001111=>[3,3,1,4,1,1,1,1] 11110001101000=>00010110001111=>[4,2,1,4,1,1,1,1] 11110001110000=>00001110001111=>[5,1,1,4,1,1,1,1] 11110010001010=>01010001001111=>[2,2,4,3,1,1,1,1] 11110010010100=>00101001001111=>[3,2,3,3,1,1,1,1] 11110010011000=>00011001001111=>[4,1,3,3,1,1,1,1] 11110010100100=>00100101001111=>[3,3,2,3,1,1,1,1] 11110010101000=>00010101001111=>[4,2,2,3,1,1,1,1] 11110010110000=>00001101001111=>[5,1,2,3,1,1,1,1] 11110011000010=>01000011001111=>[2,5,1,3,1,1,1,1] 11110011000100=>00100011001111=>[3,4,1,3,1,1,1,1] 11110011001000=>00010011001111=>[4,3,1,3,1,1,1,1] 11110011010000=>00001011001111=>[5,2,1,3,1,1,1,1] 11110011100000=>00000111001111=>[6,1,1,3,1,1,1,1] 11110100001010=>01010000101111=>[2,2,5,2,1,1,1,1] 11110100010100=>00101000101111=>[3,2,4,2,1,1,1,1] 11110100011000=>00011000101111=>[4,1,4,2,1,1,1,1] 11110100100010=>01000100101111=>[2,4,3,2,1,1,1,1] 11110100100100=>00100100101111=>[3,3,3,2,1,1,1,1] 11110100101000=>00010100101111=>[4,2,3,2,1,1,1,1] 11110100110000=>00001100101111=>[5,1,3,2,1,1,1,1] 11110101000010=>01000010101111=>[2,5,2,2,1,1,1,1] 11110101000100=>00100010101111=>[3,4,2,2,1,1,1,1] 11110101001000=>00010010101111=>[4,3,2,2,1,1,1,1] 11110101010000=>00001010101111=>[5,2,2,2,1,1,1,1] 11110101100000=>00000110101111=>[6,1,2,2,1,1,1,1] 11110110000010=>01000001101111=>[2,6,1,2,1,1,1,1] 11110110000100=>00100001101111=>[3,5,1,2,1,1,1,1] 11110110001000=>00010001101111=>[4,4,1,2,1,1,1,1] 11110110010000=>00001001101111=>[5,3,1,2,1,1,1,1] 11110110100000=>00000101101111=>[6,2,1,2,1,1,1,1] 11110111000000=>00000011101111=>[7,1,1,2,1,1,1,1] 11111000001100=>00110000011111=>[3,1,6,1,1,1,1,1] 11111000010010=>01001000011111=>[2,3,5,1,1,1,1,1] 11111000010100=>00101000011111=>[3,2,5,1,1,1,1,1] 11111000011000=>00011000011111=>[4,1,5,1,1,1,1,1] 11111000100010=>01000100011111=>[2,4,4,1,1,1,1,1] 11111000100100=>00100100011111=>[3,3,4,1,1,1,1,1] 11111000101000=>00010100011111=>[4,2,4,1,1,1,1,1] 11111000110000=>00001100011111=>[5,1,4,1,1,1,1,1] 11111001000010=>01000010011111=>[2,5,3,1,1,1,1,1] 11111001000100=>00100010011111=>[3,4,3,1,1,1,1,1] 11111001001000=>00010010011111=>[4,3,3,1,1,1,1,1] 11111001010000=>00001010011111=>[5,2,3,1,1,1,1,1] 11111001100000=>00000110011111=>[6,1,3,1,1,1,1,1] 11111010000010=>01000001011111=>[2,6,2,1,1,1,1,1] 11111010000100=>00100001011111=>[3,5,2,1,1,1,1,1] 11111010001000=>00010001011111=>[4,4,2,1,1,1,1,1] 11111010010000=>00001001011111=>[5,3,2,1,1,1,1,1] 11111010100000=>00000101011111=>[6,2,2,1,1,1,1,1] 11111011000000=>00000011011111=>[7,1,2,1,1,1,1,1] 11111100000010=>01000000111111=>[2,7,1,1,1,1,1,1] 11111100000100=>00100000111111=>[3,6,1,1,1,1,1,1] 11111100001000=>00010000111111=>[4,5,1,1,1,1,1,1] 11111100010000=>00001000111111=>[5,4,1,1,1,1,1,1] 11111100100000=>00000100111111=>[6,3,1,1,1,1,1,1] 11111101000000=>00000010111111=>[7,2,1,1,1,1,1,1] 11111110000000=>00000001111111=>[8,1,1,1,1,1,1,1] 1010101010101010=>0101010101010101=>[2,2,2,2,2,2,2,2,1] 1010101010101100=>0011010101010101=>[3,1,2,2,2,2,2,2,1] 1010101010110100=>0010110101010101=>[3,2,1,2,2,2,2,2,1] 1010101010111000=>0001110101010101=>[4,1,1,2,2,2,2,2,1] 1010101011010100=>0010101101010101=>[3,2,2,1,2,2,2,2,1] 1010101011100100=>0010011101010101=>[3,3,1,1,2,2,2,2,1] 1010101011101000=>0001011101010101=>[4,2,1,1,2,2,2,2,1] 1010101011110000=>0000111101010101=>[5,1,1,1,2,2,2,2,1] 1010101101010100=>0010101011010101=>[3,2,2,2,1,2,2,2,1] 1010101110010100=>0010100111010101=>[3,2,3,1,1,2,2,2,1] 1010101110100100=>0010010111010101=>[3,3,2,1,1,2,2,2,1] 1010101111000100=>0010001111010101=>[3,4,1,1,1,2,2,2,1] 1010110101010100=>0010101010110101=>[3,2,2,2,2,1,2,2,1] 1010111001010100=>0010101001110101=>[3,2,2,3,1,1,2,2,1] 1010111010010100=>0010100101110101=>[3,2,3,2,1,1,2,2,1] 1010111100010100=>0010100011110101=>[3,2,4,1,1,1,2,2,1] 1011010101010100=>0010101010101101=>[3,2,2,2,2,2,1,2,1] 1011100101010100=>0010101010011101=>[3,2,2,2,3,1,1,2,1] 1011101001010100=>0010101001011101=>[3,2,2,3,2,1,1,2,1] 1011110001010100=>0010101000111101=>[3,2,2,4,1,1,1,2,1] 1011110111000000=>0000001110111101=>[7,1,1,2,1,1,1,2,1] 1011111010100000=>0000010101111101=>[6,2,2,1,1,1,1,2,1] 1011111011000000=>0000001101111101=>[7,1,2,1,1,1,1,2,1] 1011111100010000=>0000100011111101=>[5,4,1,1,1,1,1,2,1] 1011111100100000=>0000010011111101=>[6,3,1,1,1,1,1,2,1] 1011111101000000=>0000001011111101=>[7,2,1,1,1,1,1,2,1] 1011111110000000=>0000000111111101=>[8,1,1,1,1,1,1,2,1] 1100101010101010=>0101010101010011=>[2,2,2,2,2,2,3,1,1] 1101001010101010=>0101010101001011=>[2,2,2,2,2,3,2,1,1] 1101010010101010=>0101010100101011=>[2,2,2,2,3,2,2,1,1] 1101010100101010=>0101010010101011=>[2,2,2,3,2,2,2,1,1] 1101010101001010=>0101001010101011=>[2,2,3,2,2,2,2,1,1] 1101010101010010=>0100101010101011=>[2,3,2,2,2,2,2,1,1] 1101010101010100=>0010101010101011=>[3,2,2,2,2,2,2,1,1] 1101010101011000=>0001101010101011=>[4,1,2,2,2,2,2,1,1] 1101010101100010=>0100011010101011=>[2,4,1,2,2,2,2,1,1] 1101010101101000=>0001011010101011=>[4,2,1,2,2,2,2,1,1] 1101010101110000=>0000111010101011=>[5,1,1,2,2,2,2,1,1] 1101010110001010=>0101000110101011=>[2,2,4,1,2,2,2,1,1] 1101010111000010=>0100001110101011=>[2,5,1,1,2,2,2,1,1] 1101011000101010=>0101010001101011=>[2,2,2,4,1,2,2,1,1] 1101011100001010=>0101000011101011=>[2,2,5,1,1,2,2,1,1] 1101100010101010=>0101010100011011=>[2,2,2,2,4,1,2,1,1] 1101110000101010=>0101010000111011=>[2,2,2,5,1,1,2,1,1] 1110001010101010=>0101010101000111=>[2,2,2,2,2,4,1,1,1] 1110010101010100=>0010101010100111=>[3,2,2,2,2,3,1,1,1] 1110100010101010=>0101010100010111=>[2,2,2,2,4,2,1,1,1] 1110100101010100=>0010101010010111=>[3,2,2,2,3,2,1,1,1] 1111000010101010=>0101010100001111=>[2,2,2,2,5,1,1,1,1] 1111000101010100=>0010101010001111=>[3,2,2,2,4,1,1,1,1] 1111011100000010=>0100000011101111=>[2,7,1,1,2,1,1,1,1] 1111101010000010=>0100000101011111=>[2,6,2,2,1,1,1,1,1] 1111101100000010=>0100000011011111=>[2,7,1,2,1,1,1,1,1] 1111110001000010=>0100001000111111=>[2,5,4,1,1,1,1,1,1] 1111110010000010=>0100000100111111=>[2,6,3,1,1,1,1,1,1] 1111110100000010=>0100000010111111=>[2,7,2,1,1,1,1,1,1] 1111111000000010=>0100000001111111=>[2,8,1,1,1,1,1,1,1] 1111111111=>1111111111=>[1,1,1,1,1,1,1,1,1,1,1] 1111111110=>0111111111=>[2,1,1,1,1,1,1,1,1,1] 1111111101=>1011111111=>[1,2,1,1,1,1,1,1,1,1] 1111111100=>0011111111=>[3,1,1,1,1,1,1,1,1] 1111111011=>1101111111=>[1,1,2,1,1,1,1,1,1,1] 1111111010=>0101111111=>[2,2,1,1,1,1,1,1,1] 1111111001=>1001111111=>[1,3,1,1,1,1,1,1,1] 1111111000=>0001111111=>[4,1,1,1,1,1,1,1] 1111110111=>1110111111=>[1,1,1,2,1,1,1,1,1,1] 1111110110=>0110111111=>[2,1,2,1,1,1,1,1,1] 1111110101=>1010111111=>[1,2,2,1,1,1,1,1,1] 1111110100=>0010111111=>[3,2,1,1,1,1,1,1] 1111110011=>1100111111=>[1,1,3,1,1,1,1,1,1] 1111110010=>0100111111=>[2,3,1,1,1,1,1,1] 1111110001=>1000111111=>[1,4,1,1,1,1,1,1] 1111110000=>0000111111=>[5,1,1,1,1,1,1] 1111101110=>0111011111=>[2,1,1,2,1,1,1,1,1] 1111101101=>1011011111=>[1,2,1,2,1,1,1,1,1] 1111101100=>0011011111=>[3,1,2,1,1,1,1,1] 1111101011=>1101011111=>[1,1,2,2,1,1,1,1,1] 1111101010=>0101011111=>[2,2,2,1,1,1,1,1] 1111101001=>1001011111=>[1,3,2,1,1,1,1,1] 1111101000=>0001011111=>[4,2,1,1,1,1,1] 1111100111=>1110011111=>[1,1,1,3,1,1,1,1,1] 1111100110=>0110011111=>[2,1,3,1,1,1,1,1] 1111100100=>0010011111=>[3,3,1,1,1,1,1] 1111100010=>0100011111=>[2,4,1,1,1,1,1] 1111100001=>1000011111=>[1,5,1,1,1,1,1] 1111011110=>0111101111=>[2,1,1,1,2,1,1,1,1] 1111011011=>1101101111=>[1,1,2,1,2,1,1,1,1] 1111011010=>0101101111=>[2,2,1,2,1,1,1,1] 1111011000=>0001101111=>[4,1,2,1,1,1,1] 1111010111=>1110101111=>[1,1,1,2,2,1,1,1,1] 1111010110=>0110101111=>[2,1,2,2,1,1,1,1] 1111010101=>1010101111=>[1,2,2,2,1,1,1,1] 1111010010=>0100101111=>[2,3,2,1,1,1,1] 1111010001=>1000101111=>[1,4,2,1,1,1,1] 1111001111=>1111001111=>[1,1,1,1,3,1,1,1,1] 1111001100=>0011001111=>[3,1,3,1,1,1,1] 1111001011=>1101001111=>[1,1,2,3,1,1,1,1] 1111001010=>0101001111=>[2,2,3,1,1,1,1] 1111001001=>1001001111=>[1,3,3,1,1,1,1] 1111000110=>0110001111=>[2,1,4,1,1,1,1] 1111000101=>1010001111=>[1,2,4,1,1,1,1] 1111000011=>1100001111=>[1,1,5,1,1,1,1] 1111000001=>1000001111=>[1,6,1,1,1,1] 1111000000=>0000001111=>[7,1,1,1,1] 1110111110=>0111110111=>[2,1,1,1,1,2,1,1,1] 1110111101=>1011110111=>[1,2,1,1,1,2,1,1,1] 1110111100=>0011110111=>[3,1,1,1,2,1,1,1] 1110111011=>1101110111=>[1,1,2,1,1,2,1,1,1] 1110111010=>0101110111=>[2,2,1,1,2,1,1,1] 1110111000=>0001110111=>[4,1,1,2,1,1,1] 1110110111=>1110110111=>[1,1,1,2,1,2,1,1,1] 1110110110=>0110110111=>[2,1,2,1,2,1,1,1] 1110110101=>1010110111=>[1,2,2,1,2,1,1,1] 1110110100=>0010110111=>[3,2,1,2,1,1,1] 1110110010=>0100110111=>[2,3,1,2,1,1,1] 1110110001=>1000110111=>[1,4,1,2,1,1,1] 1110101111=>1111010111=>[1,1,1,1,2,2,1,1,1] 1110101101=>1011010111=>[1,2,1,2,2,1,1,1] 1110101100=>0011010111=>[3,1,2,2,1,1,1] 1110101011=>1101010111=>[1,1,2,2,2,1,1,1] 1110101010=>0101010111=>[2,2,2,2,1,1,1] 1110101001=>1001010111=>[1,3,2,2,1,1,1] 1110100110=>0110010111=>[2,1,3,2,1,1,1] 1110100101=>1010010111=>[1,2,3,2,1,1,1] 1110100011=>1100010111=>[1,1,4,2,1,1,1] 1110100001=>1000010111=>[1,5,2,1,1,1] 1110100000=>0000010111=>[6,2,1,1,1] 1110011111=>1111100111=>[1,1,1,1,1,3,1,1,1] 1110011110=>0111100111=>[2,1,1,1,3,1,1,1] 1110011100=>0011100111=>[3,1,1,3,1,1,1] 1110011010=>0101100111=>[2,2,1,3,1,1,1] 1110011001=>1001100111=>[1,3,1,3,1,1,1] 1110010110=>0110100111=>[2,1,2,3,1,1,1] 1110010101=>1010100111=>[1,2,2,3,1,1,1] 1110010011=>1100100111=>[1,1,3,3,1,1,1] 1110010001=>1000100111=>[1,4,3,1,1,1] 1110010000=>0000100111=>[5,3,1,1,1] 1110001110=>0111000111=>[2,1,1,4,1,1,1] 1110001101=>1011000111=>[1,2,1,4,1,1,1] 1110001011=>1101000111=>[1,1,2,4,1,1,1] 1110001001=>1001000111=>[1,3,4,1,1,1] 1110000111=>1110000111=>[1,1,1,5,1,1,1] 1110000110=>0110000111=>[2,1,5,1,1,1] 1110000101=>1010000111=>[1,2,5,1,1,1] 1110000100=>0010000111=>[3,5,1,1,1] 1110000011=>1100000111=>[1,1,6,1,1,1] 1110000010=>0100000111=>[2,6,1,1,1] 1110000001=>1000000111=>[1,7,1,1,1] 1110000000=>0000000111=>[8,1,1,1] 1101111111=>1111111011=>[1,1,1,1,1,1,1,2,1,1] 1101111110=>0111111011=>[2,1,1,1,1,1,2,1,1] 1101111101=>1011111011=>[1,2,1,1,1,1,2,1,1] 1101111011=>1101111011=>[1,1,2,1,1,1,2,1,1] 1101111010=>0101111011=>[2,2,1,1,1,2,1,1] 1101111001=>1001111011=>[1,3,1,1,1,2,1,1] 1101111000=>0001111011=>[4,1,1,1,2,1,1] 1101110111=>1110111011=>[1,1,1,2,1,1,2,1,1] 1101110110=>0110111011=>[2,1,2,1,1,2,1,1] 1101110010=>0100111011=>[2,3,1,1,2,1,1] 1101110001=>1000111011=>[1,4,1,1,2,1,1] 1101101111=>1111011011=>[1,1,1,1,2,1,2,1,1] 1101101100=>0011011011=>[3,1,2,1,2,1,1] 1101101011=>1101011011=>[1,1,2,2,1,2,1,1] 1101101010=>0101011011=>[2,2,2,1,2,1,1] 1101101001=>1001011011=>[1,3,2,1,2,1,1] 1101100110=>0110011011=>[2,1,3,1,2,1,1] 1101100101=>1010011011=>[1,2,3,1,2,1,1] 1101100011=>1100011011=>[1,1,4,1,2,1,1] 1101100001=>1000011011=>[1,5,1,2,1,1] 1101100000=>0000011011=>[6,1,2,1,1] 1101011111=>1111101011=>[1,1,1,1,1,2,2,1,1] 1101011110=>0111101011=>[2,1,1,1,2,2,1,1] 1101011101=>1011101011=>[1,2,1,1,2,2,1,1] 1101011011=>1101101011=>[1,1,2,1,2,2,1,1] 1101011010=>0101101011=>[2,2,1,2,2,1,1] 1101011001=>1001101011=>[1,3,1,2,2,1,1] 1101010111=>1110101011=>[1,1,1,2,2,2,1,1] 1101010110=>0110101011=>[2,1,2,2,2,1,1] 1101010101=>1010101011=>[1,2,2,2,2,1,1] 1101010011=>1100101011=>[1,1,3,2,2,1,1] 1101010001=>1000101011=>[1,4,2,2,1,1] 1101010000=>0000101011=>[5,2,2,1,1] 1101001111=>1111001011=>[1,1,1,1,3,2,1,1] 1101001110=>0111001011=>[2,1,1,3,2,1,1] 1101001101=>1011001011=>[1,2,1,3,2,1,1] 1101001011=>1101001011=>[1,1,2,3,2,1,1] 1101001001=>1001001011=>[1,3,3,2,1,1] 1101001000=>0001001011=>[4,3,2,1,1] 1101000111=>1110001011=>[1,1,1,4,2,1,1] 1101000110=>0110001011=>[2,1,4,2,1,1] 1101000101=>1010001011=>[1,2,4,2,1,1] 1101000011=>1100001011=>[1,1,5,2,1,1] 1101000010=>0100001011=>[2,5,2,1,1] 1101000001=>1000001011=>[1,6,2,1,1] 1101000000=>0000001011=>[7,2,1,1] 1100111111=>1111110011=>[1,1,1,1,1,1,3,1,1] 1100111100=>0011110011=>[3,1,1,1,3,1,1] 1100111010=>0101110011=>[2,2,1,1,3,1,1] 1100111001=>1001110011=>[1,3,1,1,3,1,1] 1100110110=>0110110011=>[2,1,2,1,3,1,1] 1100110101=>1010110011=>[1,2,2,1,3,1,1] 1100110011=>1100110011=>[1,1,3,1,3,1,1] 1100110001=>1000110011=>[1,4,1,3,1,1] 1100110000=>0000110011=>[5,1,3,1,1] 1100101110=>0111010011=>[2,1,1,2,3,1,1] 1100101101=>1011010011=>[1,2,1,2,3,1,1] 1100101011=>1101010011=>[1,1,2,2,3,1,1] 1100101001=>1001010011=>[1,3,2,3,1,1] 1100100111=>1110010011=>[1,1,1,3,3,1,1] 1100100110=>0110010011=>[2,1,3,3,1,1] 1100100101=>1010010011=>[1,2,3,3,1,1] 1100100100=>0010010011=>[3,3,3,1,1] 1100100011=>1100010011=>[1,1,4,3,1,1] 1100100010=>0100010011=>[2,4,3,1,1] 1100011111=>1111100011=>[1,1,1,1,1,4,1,1] 1100011110=>0111100011=>[2,1,1,1,4,1,1] 1100011101=>1011100011=>[1,2,1,1,4,1,1] 1100011011=>1101100011=>[1,1,2,1,4,1,1] 1100011010=>0101100011=>[2,2,1,4,1,1] 1100011001=>1001100011=>[1,3,1,4,1,1] 1100011000=>0001100011=>[4,1,4,1,1] 1100010111=>1110100011=>[1,1,1,2,4,1,1] 1100010110=>0110100011=>[2,1,2,4,1,1] 1100010101=>1010100011=>[1,2,2,4,1,1] 1100010011=>1100100011=>[1,1,3,4,1,1] 1100010010=>0100100011=>[2,3,4,1,1] 1100001111=>1111000011=>[1,1,1,1,5,1,1] 1100001110=>0111000011=>[2,1,1,5,1,1] 1100001101=>1011000011=>[1,2,1,5,1,1] 1100001100=>0011000011=>[3,1,5,1,1] 1100001011=>1101000011=>[1,1,2,5,1,1] 1100001010=>0101000011=>[2,2,5,1,1] 1100001000=>0001000011=>[4,5,1,1] 1100000111=>1110000011=>[1,1,1,6,1,1] 1100000110=>0110000011=>[2,1,6,1,1] 1100000011=>1100000011=>[1,1,7,1,1] 1100000010=>0100000011=>[2,7,1,1] 1100000001=>1000000011=>[1,8,1,1] 1100000000=>0000000011=>[9,1,1] 1011111111=>1111111101=>[1,1,1,1,1,1,1,1,2,1] 1011111110=>0111111101=>[2,1,1,1,1,1,1,2,1] 1011111101=>1011111101=>[1,2,1,1,1,1,1,2,1] 1011111100=>0011111101=>[3,1,1,1,1,1,2,1] 1011111011=>1101111101=>[1,1,2,1,1,1,1,2,1] 1011111010=>0101111101=>[2,2,1,1,1,1,2,1] 1011111000=>0001111101=>[4,1,1,1,1,2,1] 1011110111=>1110111101=>[1,1,1,2,1,1,1,2,1] 1011110110=>0110111101=>[2,1,2,1,1,1,2,1] 1011110100=>0010111101=>[3,2,1,1,1,2,1] 1011110001=>1000111101=>[1,4,1,1,1,2,1] 1011101111=>1111011101=>[1,1,1,1,2,1,1,2,1] 1011101100=>0011011101=>[3,1,2,1,1,2,1] 1011101010=>0101011101=>[2,2,2,1,1,2,1] 1011101001=>1001011101=>[1,3,2,1,1,2,1] 1011100101=>1010011101=>[1,2,3,1,1,2,1] 1011100011=>1100011101=>[1,1,4,1,1,2,1] 1011100001=>1000011101=>[1,5,1,1,2,1] 1011100000=>0000011101=>[6,1,1,2,1] 1011011111=>1111101101=>[1,1,1,1,1,2,1,2,1] 1011011110=>0111101101=>[2,1,1,1,2,1,2,1] 1011011100=>0011101101=>[3,1,1,2,1,2,1] 1011011001=>1001101101=>[1,3,1,2,1,2,1] 1011010111=>1110101101=>[1,1,1,2,2,1,2,1] 1011010110=>0110101101=>[2,1,2,2,1,2,1] 1011010101=>1010101101=>[1,2,2,2,1,2,1] 1011010011=>1100101101=>[1,1,3,2,1,2,1] 1011010001=>1000101101=>[1,4,2,1,2,1] 1011010000=>0000101101=>[5,2,1,2,1] 1011001110=>0111001101=>[2,1,1,3,1,2,1] 1011001101=>1011001101=>[1,2,1,3,1,2,1] 1011001011=>1101001101=>[1,1,2,3,1,2,1] 1011001001=>1001001101=>[1,3,3,1,2,1] 1011000111=>1110001101=>[1,1,1,4,1,2,1] 1011000110=>0110001101=>[2,1,4,1,2,1] 1011000101=>1010001101=>[1,2,4,1,2,1] 1011000100=>0010001101=>[3,4,1,2,1] 1011000011=>1100001101=>[1,1,5,1,2,1] 1011000001=>1000001101=>[1,6,1,2,1] 1011000000=>0000001101=>[7,1,2,1] 1010111111=>1111110101=>[1,1,1,1,1,1,2,2,1] 1010111110=>0111110101=>[2,1,1,1,1,2,2,1] 1010111100=>0011110101=>[3,1,1,1,2,2,1] 1010111010=>0101110101=>[2,2,1,1,2,2,1] 1010111001=>1001110101=>[1,3,1,1,2,2,1] 1010110111=>1110110101=>[1,1,1,2,1,2,2,1] 1010110110=>0110110101=>[2,1,2,1,2,2,1] 1010110101=>1010110101=>[1,2,2,1,2,2,1] 1010110011=>1100110101=>[1,1,3,1,2,2,1] 1010110001=>1000110101=>[1,4,1,2,2,1] 1010110000=>0000110101=>[5,1,2,2,1] 1010101111=>1111010101=>[1,1,1,1,2,2,2,1] 1010101110=>0111010101=>[2,1,1,2,2,2,1] 1010101101=>1011010101=>[1,2,1,2,2,2,1] 1010101011=>1101010101=>[1,1,2,2,2,2,1] 1010101001=>1001010101=>[1,3,2,2,2,1] 1010101000=>0001010101=>[4,2,2,2,1] 1010100111=>1110010101=>[1,1,1,3,2,2,1] 1010100110=>0110010101=>[2,1,3,2,2,1] 1010100101=>1010010101=>[1,2,3,2,2,1] 1010100100=>0010010101=>[3,3,2,2,1] 1010100011=>1100010101=>[1,1,4,2,2,1] 1010100010=>0100010101=>[2,4,2,2,1] 1010100001=>1000010101=>[1,5,2,2,1] 1010100000=>0000010101=>[6,2,2,1] 1010011110=>0111100101=>[2,1,1,1,3,2,1] 1010011101=>1011100101=>[1,2,1,1,3,2,1] 1010011100=>0011100101=>[3,1,1,3,2,1] 1010011011=>1101100101=>[1,1,2,1,3,2,1] 1010011010=>0101100101=>[2,2,1,3,2,1] 1010011001=>1001100101=>[1,3,1,3,2,1] 1010010111=>1110100101=>[1,1,1,2,3,2,1] 1010010110=>0110100101=>[2,1,2,3,2,1] 1010010101=>1010100101=>[1,2,2,3,2,1] 1010010100=>0010100101=>[3,2,3,2,1] 1010010011=>1100100101=>[1,1,3,3,2,1] 1010010001=>1000100101=>[1,4,3,2,1] 1010010000=>0000100101=>[5,3,2,1] 1010001111=>1111000101=>[1,1,1,1,4,2,1] 1010001110=>0111000101=>[2,1,1,4,2,1] 1010001101=>1011000101=>[1,2,1,4,2,1] 1010001011=>1101000101=>[1,1,2,4,2,1] 1010001010=>0101000101=>[2,2,4,2,1] 1010000111=>1110000101=>[1,1,1,5,2,1] 1010000101=>1010000101=>[1,2,5,2,1] 1010000100=>0010000101=>[3,5,2,1] 1010000010=>0100000101=>[2,6,2,1] 1010000001=>1000000101=>[1,7,2,1] 1010000000=>0000000101=>[8,2,1] 1001111111=>1111111001=>[1,1,1,1,1,1,1,3,1] 1001111110=>0111111001=>[2,1,1,1,1,1,3,1] 1001111100=>0011111001=>[3,1,1,1,1,3,1] 1001111011=>1101111001=>[1,1,2,1,1,1,3,1] 1001111010=>0101111001=>[2,2,1,1,1,3,1] 1001111001=>1001111001=>[1,3,1,1,1,3,1] 1001111000=>0001111001=>[4,1,1,1,3,1] 1001110110=>0110111001=>[2,1,2,1,1,3,1] 1001110101=>1010111001=>[1,2,2,1,1,3,1] 1001110100=>0010111001=>[3,2,1,1,3,1] 1001110011=>1100111001=>[1,1,3,1,1,3,1] 1001110010=>0100111001=>[2,3,1,1,3,1] 1001110001=>1000111001=>[1,4,1,1,3,1] 1001110000=>0000111001=>[5,1,1,3,1] 1001101110=>0111011001=>[2,1,1,2,1,3,1] 1001101101=>1011011001=>[1,2,1,2,1,3,1] 1001101100=>0011011001=>[3,1,2,1,3,1] 1001101011=>1101011001=>[1,1,2,2,1,3,1] 1001101010=>0101011001=>[2,2,2,1,3,1] 1001101001=>1001011001=>[1,3,2,1,3,1] 1001100111=>1110011001=>[1,1,1,3,1,3,1] 1001100110=>0110011001=>[2,1,3,1,3,1] 1001100101=>1010011001=>[1,2,3,1,3,1] 1001100100=>0010011001=>[3,3,1,3,1] 1001100011=>1100011001=>[1,1,4,1,3,1] 1001100010=>0100011001=>[2,4,1,3,1] 1001100001=>1000011001=>[1,5,1,3,1] 1001100000=>0000011001=>[6,1,3,1] 1001011111=>1111101001=>[1,1,1,1,1,2,3,1] 1001011110=>0111101001=>[2,1,1,1,2,3,1] 1001011101=>1011101001=>[1,2,1,1,2,3,1] 1001011011=>1101101001=>[1,1,2,1,2,3,1] 1001011010=>0101101001=>[2,2,1,2,3,1] 1001011001=>1001101001=>[1,3,1,2,3,1] 1001011000=>0001101001=>[4,1,2,3,1] 1001010111=>1110101001=>[1,1,1,2,2,3,1] 1001010110=>0110101001=>[2,1,2,2,3,1] 1001010101=>1010101001=>[1,2,2,2,3,1] 1001010011=>1100101001=>[1,1,3,2,3,1] 1001010010=>0100101001=>[2,3,2,3,1] 1001001111=>1111001001=>[1,1,1,1,3,3,1] 1001001110=>0111001001=>[2,1,1,3,3,1] 1001001101=>1011001001=>[1,2,1,3,3,1] 1001001100=>0011001001=>[3,1,3,3,1] 1001001011=>1101001001=>[1,1,2,3,3,1] 1001000111=>1110001001=>[1,1,1,4,3,1] 1001000110=>0110001001=>[2,1,4,3,1] 1001000001=>1000001001=>[1,6,3,1] 1001000000=>0000001001=>[7,3,1] 1000111111=>1111110001=>[1,1,1,1,1,1,4,1] 1000111110=>0111110001=>[2,1,1,1,1,4,1] 1000111101=>1011110001=>[1,2,1,1,1,4,1] 1000111100=>0011110001=>[3,1,1,1,4,1] 1000111011=>1101110001=>[1,1,2,1,1,4,1] 1000111010=>0101110001=>[2,2,1,1,4,1] 1000111001=>1001110001=>[1,3,1,1,4,1] 1000110111=>1110110001=>[1,1,1,2,1,4,1] 1000110110=>0110110001=>[2,1,2,1,4,1] 1000110101=>1010110001=>[1,2,2,1,4,1] 1000110100=>0010110001=>[3,2,1,4,1] 1000110011=>1100110001=>[1,1,3,1,4,1] 1000110010=>0100110001=>[2,3,1,4,1] 1000110001=>1000110001=>[1,4,1,4,1] 1000110000=>0000110001=>[5,1,4,1] 1000101111=>1111010001=>[1,1,1,1,2,4,1] 1000101110=>0111010001=>[2,1,1,2,4,1] 1000101101=>1011010001=>[1,2,1,2,4,1] 1000101011=>1101010001=>[1,1,2,2,4,1] 1000101010=>0101010001=>[2,2,2,4,1] 1000101000=>0001010001=>[4,2,4,1] 1000100111=>1110010001=>[1,1,1,3,4,1] 1000100110=>0110010001=>[2,1,3,4,1] 1000100101=>1010010001=>[1,2,3,4,1] 1000100100=>0010010001=>[3,3,4,1] 1000100010=>0100010001=>[2,4,4,1] 1000100000=>0000010001=>[6,4,1] 1000011111=>1111100001=>[1,1,1,1,1,5,1] 1000011110=>0111100001=>[2,1,1,1,5,1] 1000011101=>1011100001=>[1,2,1,1,5,1] 1000011100=>0011100001=>[3,1,1,5,1] 1000011011=>1101100001=>[1,1,2,1,5,1] 1000011010=>0101100001=>[2,2,1,5,1] 1000011001=>1001100001=>[1,3,1,5,1] 1000011000=>0001100001=>[4,1,5,1] 1000010111=>1110100001=>[1,1,1,2,5,1] 1000010110=>0110100001=>[2,1,2,5,1] 1000010011=>1100100001=>[1,1,3,5,1] 1000010010=>0100100001=>[2,3,5,1] 1000010000=>0000100001=>[5,5,1] 1000001111=>1111000001=>[1,1,1,1,6,1] 1000001110=>0111000001=>[2,1,1,6,1] 1000001101=>1011000001=>[1,2,1,6,1] 1000001100=>0011000001=>[3,1,6,1] 1000001011=>1101000001=>[1,1,2,6,1] 1000001010=>0101000001=>[2,2,6,1] 1000001000=>0001000001=>[4,6,1] 1000000111=>1110000001=>[1,1,1,7,1] 1000000110=>0110000001=>[2,1,7,1] 1000000101=>1010000001=>[1,2,7,1] 1000000100=>0010000001=>[3,7,1] 1000000011=>1100000001=>[1,1,8,1] 1000000010=>0100000001=>[2,8,1] 1000000001=>1000000001=>[1,9,1] 1000000000=>0000000001=>[10,1] 10000000000=>00000000001=>[11,1] 10000000010=>01000000001=>[2,9,1] 10000000110=>01100000001=>[2,1,8,1] 10000001110=>01110000001=>[2,1,1,7,1] 10000011110=>01111000001=>[2,1,1,1,6,1] 10000111110=>01111100001=>[2,1,1,1,1,5,1] 10001111110=>01111110001=>[2,1,1,1,1,1,4,1] 10011111110=>01111111001=>[2,1,1,1,1,1,1,3,1] 10111111110=>01111111101=>[2,1,1,1,1,1,1,1,2,1] 11111111110=>01111111111=>[2,1,1,1,1,1,1,1,1,1,1] 100000000000=>000000000001=>[12,1] 100000000010=>010000000001=>[2,10,1] 10000000100=>00100000001=>[3,8,1] 100000000110=>011000000001=>[2,1,9,1] 10000001010=>01010000001=>[2,2,7,1] 10000010110=>01101000001=>[2,1,2,6,1] 100000011110=>011110000001=>[2,1,1,1,7,1] 10000101110=>01110100001=>[2,1,1,2,5,1] 100000111110=>011111000001=>[2,1,1,1,1,6,1] 10001011110=>01111010001=>[2,1,1,1,2,4,1] 100001111110=>011111100001=>[2,1,1,1,1,1,5,1] 10010111110=>01111101001=>[2,1,1,1,1,2,3,1] 10101111110=>01111110101=>[2,1,1,1,1,1,2,2,1] 100111111110=>011111111001=>[2,1,1,1,1,1,1,1,3,1] 11011111110=>01111111011=>[2,1,1,1,1,1,1,2,1,1] 101111111110=>011111111101=>[2,1,1,1,1,1,1,1,1,2,1] 111111111110=>011111111111=>[2,1,1,1,1,1,1,1,1,1,1,1] 100000000100=>001000000001=>[3,9,1] 100000010110=>011010000001=>[2,1,2,7,1] 100001011110=>011110100001=>[2,1,1,1,2,5,1] 100010111110=>011111010001=>[2,1,1,1,1,2,4,1] 110111111110=>011111111011=>[2,1,1,1,1,1,1,1,2,1,1] 100000001000=>000100000001=>[4,8,1] 10000010000=>00001000001=>[5,6,1] 100000001100=>001100000001=>[3,1,8,1] 10000100010=>01000100001=>[2,4,5,1] 100000110110=>011011000001=>[2,1,2,1,6,1] 100010011110=>011110010001=>[2,1,1,1,3,4,1] 100001101110=>011101100001=>[2,1,1,2,1,5,1] 100100111110=>011111001001=>[2,1,1,1,1,3,3,1] 100011011110=>011110110001=>[2,1,1,1,2,1,4,1] 11000111110=>01111100011=>[2,1,1,1,1,4,1,1] 10101011110=>01111010101=>[2,1,1,1,2,2,2,1] 10111011110=>01111011101=>[2,1,1,1,2,1,1,2,1] 11110111110=>01111101111=>[2,1,1,1,1,2,1,1,1,1] 111011111110=>011111110111=>[2,1,1,1,1,1,1,2,1,1,1] 100000010000=>000010000001=>[5,7,1] 10001000010=>01000010001=>[2,5,4,1] 10000100100=>00100100001=>[3,3,5,1] 100001000110=>011000100001=>[2,1,4,5,1] 100000101010=>010101000001=>[2,2,2,6,1] 100000011100=>001110000001=>[3,1,1,7,1] 10001001010=>01010010001=>[2,2,3,4,1] 100100011110=>011110001001=>[2,1,1,1,4,3,1] 100010101110=>011101010001=>[2,1,1,2,2,4,1] 100001110110=>011011100001=>[2,1,2,1,1,5,1] 101000111110=>011111000101=>[2,1,1,1,1,4,2,1] 100101011110=>011110101001=>[2,1,1,1,2,2,3,1] 100011101110=>011101110001=>[2,1,1,2,1,1,4,1] 110001111110=>011111100011=>[2,1,1,1,1,1,4,1,1] 10101101110=>01110110101=>[2,1,1,2,1,2,2,1] 101010111110=>011111010101=>[2,1,1,1,1,2,2,2,1] 100111011110=>011110111001=>[2,1,1,1,2,1,1,3,1] 11011011110=>01111011011=>[2,1,1,1,2,1,2,1,1] 10111101110=>01110111101=>[2,1,1,2,1,1,1,2,1] 111101111110=>011111101111=>[2,1,1,1,1,1,2,1,1,1,1] 100000100000=>000001000001=>[6,6,1] 100000100100=>001001000001=>[3,3,6,1] 100000011000=>000110000001=>[4,1,7,1] 10001000100=>00100010001=>[3,4,4,1] 10000101000=>00010100001=>[4,2,5,1] 10010001010=>01010001001=>[2,2,4,3,1] 10001010010=>01001010001=>[2,3,2,4,1] 100010010110=>011010010001=>[2,1,2,3,4,1] 100001100110=>011001100001=>[2,1,3,1,5,1] 100000111100=>001111000001=>[3,1,1,1,6,1] 11000001110=>01110000011=>[2,1,1,6,1,1] 101000011110=>011110000101=>[2,1,1,1,5,2,1] 100100101110=>011101001001=>[2,1,1,2,3,3,1] 100011001110=>011100110001=>[2,1,1,3,1,4,1] 100010110110=>011011010001=>[2,1,2,1,2,4,1] 100001111010=>010111100001=>[2,2,1,1,1,5,1] 11000101110=>01110100011=>[2,1,1,2,4,1,1] 110000111110=>011111000011=>[2,1,1,1,1,5,1,1] 101001011110=>011110100101=>[2,1,1,1,2,3,2,1] 100110011110=>011110011001=>[2,1,1,1,3,1,3,1] 100101101110=>011101101001=>[2,1,1,2,1,2,3,1] 100011110110=>011011110001=>[2,1,2,1,1,1,4,1] 10110101110=>01110101101=>[2,1,1,2,2,1,2,1] 10101110110=>01101110101=>[2,1,2,1,1,2,2,1] 11101011110=>01111010111=>[2,1,1,1,2,2,1,1,1] 111001111110=>011111100111=>[2,1,1,1,1,1,3,1,1,1] 11011101110=>01110111011=>[2,1,1,2,1,1,2,1,1] 101111011110=>011110111101=>[2,1,1,1,2,1,1,1,2,1] 11111101110=>01110111111=>[2,1,1,2,1,1,1,1,1,1] 111110111110=>011111011111=>[2,1,1,1,1,2,1,1,1,1,1] 100001000000=>000000100001=>[7,5,1] 10010000000=>00000001001=>[8,3,1] 10010000100=>00100001001=>[3,5,3,1] 10001001000=>00010010001=>[4,3,4,1] 100010001010=>010100010001=>[2,2,4,4,1] 100001010010=>010010100001=>[2,3,2,5,1] 100001001100=>001100100001=>[3,1,3,5,1] 100000110100=>001011000001=>[3,2,1,6,1] 10010010010=>01001001001=>[2,3,3,3,1] 10001010100=>00101010001=>[3,2,2,4,1] 110000011110=>011110000011=>[2,1,1,1,6,1,1] 101000101110=>011101000101=>[2,1,1,2,4,2,1] 10010101010=>01010101001=>[2,2,2,2,3,1] 100101001110=>011100101001=>[2,1,1,3,2,3,1] 100100110110=>011011001001=>[2,1,2,1,3,3,1] 100011010110=>011010110001=>[2,1,2,2,1,4,1] 100010111010=>010111010001=>[2,2,1,1,2,4,1] 100001111100=>001111100001=>[3,1,1,1,1,5,1] 110001011110=>011110100011=>[2,1,1,1,2,4,1,1] 10101010110=>01101010101=>[2,1,2,2,2,2,1] 101010011110=>011110010101=>[2,1,1,1,3,2,2,1] 101001101110=>011101100101=>[2,1,1,2,1,3,2,1] 100110101110=>011101011001=>[2,1,1,2,2,1,3,1] 11010101110=>01110101011=>[2,1,1,2,2,2,1,1] 110011011110=>011110110011=>[2,1,1,1,2,1,3,1,1] 10110110110=>01101101101=>[2,1,2,1,2,1,2,1] 101101011110=>011110101101=>[2,1,1,1,2,2,1,2,1] 101011101110=>011101110101=>[2,1,1,2,1,1,2,2,1] 11101101110=>01110110111=>[2,1,1,2,1,2,1,1,1] 11011110110=>01101111011=>[2,1,2,1,1,1,2,1,1] 10111111010=>01011111101=>[2,2,1,1,1,1,1,2,1] 11111110110=>01101111111=>[2,1,2,1,1,1,1,1,1,1] 111111011110=>011110111111=>[2,1,1,1,2,1,1,1,1,1,1] 100010000000=>000000010001=>[8,4,1] 10100000000=>00000000101=>[9,2,1] 100010000100=>001000010001=>[3,5,4,1] 100000110000=>000011000001=>[5,1,6,1] 11000000010=>01000000011=>[2,8,1,1] 10010001000=>00010001001=>[4,4,3,1] 10100010010=>01001000101=>[2,3,4,2,1] 101000010110=>011010000101=>[2,1,2,5,2,1] 10010100010=>01000101001=>[2,4,2,3,1] 10010010100=>00101001001=>[3,2,3,3,1] 100011000110=>011000110001=>[2,1,4,1,4,1] 100010011100=>001110010001=>[3,1,1,3,4,1] 100001101100=>001101100001=>[3,1,2,1,5,1] 110000101110=>011101000011=>[2,1,1,2,5,1,1] 10100101010=>01010100101=>[2,2,2,3,2,1] 101001001110=>011100100101=>[2,1,1,3,3,2,1] 101000110110=>011011000101=>[2,1,2,1,4,2,1] 100110001110=>011100011001=>[2,1,1,4,1,3,1] 100101010110=>011010101001=>[2,1,2,2,2,3,1] 100100111010=>010111001001=>[2,2,1,1,3,3,1] 100011100110=>011001110001=>[2,1,3,1,1,4,1] 100010111100=>001111010001=>[3,1,1,1,2,4,1] 11010001110=>01110001011=>[2,1,1,4,2,1,1] 110010011110=>011110010011=>[2,1,1,1,3,3,1,1] 110001101110=>011101100011=>[2,1,1,2,1,4,1,1] 101100011110=>011110001101=>[2,1,1,1,4,1,2,1] 10101011010=>01011010101=>[2,2,1,2,2,2,1] 101010101110=>011101010101=>[2,1,1,2,2,2,2,1] 101001110110=>011011100101=>[2,1,2,1,1,3,2,1] 100111001110=>011100111001=>[2,1,1,3,1,1,3,1] 100110110110=>011011011001=>[2,1,2,1,2,1,3,1] 100011111100=>001111110001=>[3,1,1,1,1,1,4,1] 11010110110=>01101101011=>[2,1,2,1,2,2,1,1] 10111010110=>01101011101=>[2,1,2,2,1,1,2,1] 10110111010=>01011101101=>[2,2,1,1,2,1,2,1] 11101110110=>01101110111=>[2,1,2,1,1,2,1,1,1] 111011011110=>011110110111=>[2,1,1,1,2,1,2,1,1,1] 10111111100=>00111111101=>[3,1,1,1,1,1,1,2,1] 101111110110=>011011111101=>[2,1,2,1,1,1,1,1,2,1] 11111111010=>01011111111=>[2,2,1,1,1,1,1,1,1,1] 111111101110=>011101111111=>[2,1,1,2,1,1,1,1,1,1,1] =>=>[1] 0111111111=>1111111110=>[1,1,1,1,1,1,1,1,1,2] 0111111101=>1011111110=>[1,2,1,1,1,1,1,1,2] 0111111001=>1001111110=>[1,3,1,1,1,1,1,2] 0111110001=>1000111110=>[1,4,1,1,1,1,2] 0111100001=>1000011110=>[1,5,1,1,1,2] 0111000001=>1000001110=>[1,6,1,1,2] 0110000001=>1000000110=>[1,7,1,2] 0100000001=>1000000010=>[1,8,2] 0000000001=>1000000000=>[1,10] 01111111111=>11111111110=>[1,1,1,1,1,1,1,1,1,1,2] 01111111101=>10111111110=>[1,2,1,1,1,1,1,1,1,2] 0111111011=>1101111110=>[1,1,2,1,1,1,1,1,2] 0111110101=>1010111110=>[1,2,2,1,1,1,1,2] 0111101001=>1001011110=>[1,3,2,1,1,1,2] 0111010001=>1000101110=>[1,4,2,1,1,2] 01111000001=>10000011110=>[1,6,1,1,1,2] 0110100001=>1000010110=>[1,5,2,1,2] 0101000001=>1000001010=>[1,6,2,2] 01100000001=>10000000110=>[1,8,1,2] 0010000001=>1000000100=>[1,7,3] 01000000001=>10000000010=>[1,9,2] 00000000001=>10000000000=>[1,11] 0101010101=>1010101010=>[1,2,2,2,2,2] 0101010011=>1100101010=>[1,1,3,2,2,2] 0101001101=>1011001010=>[1,2,1,3,2,2] 0101001011=>1101001010=>[1,1,2,3,2,2] 0101000111=>1110001010=>[1,1,1,4,2,2] 0100110101=>1010110010=>[1,2,2,1,3,2] 0100110011=>1100110010=>[1,1,3,1,3,2] 0100101101=>1011010010=>[1,2,1,2,3,2] 0100101011=>1101010010=>[1,1,2,2,3,2] 0100100111=>1110010010=>[1,1,1,3,3,2] 0100011101=>1011100010=>[1,2,1,1,4,2] 0100011011=>1101100010=>[1,1,2,1,4,2] 0100010111=>1110100010=>[1,1,1,2,4,2] 0100001111=>1111000010=>[1,1,1,1,5,2] 0011010101=>1010101100=>[1,2,2,2,1,3] 0011010011=>1100101100=>[1,1,3,2,1,3] 0011001101=>1011001100=>[1,2,1,3,1,3] 0011000111=>1110001100=>[1,1,1,4,1,3] 0010110101=>1010110100=>[1,2,2,1,2,3] 0010110011=>1100110100=>[1,1,3,1,2,3] 0010101101=>1011010100=>[1,2,1,2,2,3] 0010101011=>1101010100=>[1,1,2,2,2,3] 0010100111=>1110010100=>[1,1,1,3,2,3] 0010011101=>1011100100=>[1,2,1,1,3,3] 0010011011=>1101100100=>[1,1,2,1,3,3] 0010010111=>1110100100=>[1,1,1,2,3,3] 0010001111=>1111000100=>[1,1,1,1,4,3] 0001110101=>1010111000=>[1,2,2,1,1,4] 0001110011=>1100111000=>[1,1,3,1,1,4] 0001101101=>1011011000=>[1,2,1,2,1,4] 0001101011=>1101011000=>[1,1,2,2,1,4] 0001100111=>1110011000=>[1,1,1,3,1,4] 0001011101=>1011101000=>[1,2,1,1,2,4] 0001011011=>1101101000=>[1,1,2,1,2,4] 0001010111=>1110101000=>[1,1,1,2,2,4] 0001001111=>1111001000=>[1,1,1,1,3,4] 0000111101=>1011110000=>[1,2,1,1,1,5] 0000111011=>1101110000=>[1,1,2,1,1,5] 0000110111=>1110110000=>[1,1,1,2,1,5] 0000101111=>1111010000=>[1,1,1,1,2,5] 0000011111=>1111100000=>[1,1,1,1,1,6] 010101010101=>101010101010=>[1,2,2,2,2,2,2] 010101010011=>110010101010=>[1,1,3,2,2,2,2] 010101001101=>101100101010=>[1,2,1,3,2,2,2] 010101001011=>110100101010=>[1,1,2,3,2,2,2] 010101000111=>111000101010=>[1,1,1,4,2,2,2] 010100110101=>101011001010=>[1,2,2,1,3,2,2] 010100101101=>101101001010=>[1,2,1,2,3,2,2] 010100101011=>110101001010=>[1,1,2,2,3,2,2] 010100100111=>111001001010=>[1,1,1,3,3,2,2] 010100011101=>101110001010=>[1,2,1,1,4,2,2] 010100011011=>110110001010=>[1,1,2,1,4,2,2] 010100010111=>111010001010=>[1,1,1,2,4,2,2] 010100001111=>111100001010=>[1,1,1,1,5,2,2] 010011010101=>101010110010=>[1,2,2,2,1,3,2] 010011010011=>110010110010=>[1,1,3,2,1,3,2] 010011001101=>101100110010=>[1,2,1,3,1,3,2] 010011001011=>110100110010=>[1,1,2,3,1,3,2] 010011000111=>111000110010=>[1,1,1,4,1,3,2] 010010110101=>101011010010=>[1,2,2,1,2,3,2] 010010110011=>110011010010=>[1,1,3,1,2,3,2] 010010101101=>101101010010=>[1,2,1,2,2,3,2] 010010101011=>110101010010=>[1,1,2,2,2,3,2] 010010100111=>111001010010=>[1,1,1,3,2,3,2] 010010011101=>101110010010=>[1,2,1,1,3,3,2] 010010011011=>110110010010=>[1,1,2,1,3,3,2] 010010010111=>111010010010=>[1,1,1,2,3,3,2] 010010001111=>111100010010=>[1,1,1,1,4,3,2] 010001110101=>101011100010=>[1,2,2,1,1,4,2] 010001110011=>110011100010=>[1,1,3,1,1,4,2] 010001101101=>101101100010=>[1,2,1,2,1,4,2] 010001101011=>110101100010=>[1,1,2,2,1,4,2] 010001100111=>111001100010=>[1,1,1,3,1,4,2] 010001011101=>101110100010=>[1,2,1,1,2,4,2] 010001011011=>110110100010=>[1,1,2,1,2,4,2] 010001010111=>111010100010=>[1,1,1,2,2,4,2] 010001001111=>111100100010=>[1,1,1,1,3,4,2] 010000111101=>101111000010=>[1,2,1,1,1,5,2] 010000111011=>110111000010=>[1,1,2,1,1,5,2] 010000110111=>111011000010=>[1,1,1,2,1,5,2] 010000101111=>111101000010=>[1,1,1,1,2,5,2] 010000011111=>111110000010=>[1,1,1,1,1,6,2] 001101010101=>101010101100=>[1,2,2,2,2,1,3] 001101010011=>110010101100=>[1,1,3,2,2,1,3] 001101001101=>101100101100=>[1,2,1,3,2,1,3] 001101001011=>110100101100=>[1,1,2,3,2,1,3] 001101000111=>111000101100=>[1,1,1,4,2,1,3] 001100110101=>101011001100=>[1,2,2,1,3,1,3] 001100110011=>110011001100=>[1,1,3,1,3,1,3] 001100101101=>101101001100=>[1,2,1,2,3,1,3] 001100101011=>110101001100=>[1,1,2,2,3,1,3] 001100100111=>111001001100=>[1,1,1,3,3,1,3] 001100011101=>101110001100=>[1,2,1,1,4,1,3] 001100011011=>110110001100=>[1,1,2,1,4,1,3] 001100010111=>111010001100=>[1,1,1,2,4,1,3] 001100001111=>111100001100=>[1,1,1,1,5,1,3] 001011010101=>101010110100=>[1,2,2,2,1,2,3] 001011010011=>110010110100=>[1,1,3,2,1,2,3] 001011001101=>101100110100=>[1,2,1,3,1,2,3] 001011001011=>110100110100=>[1,1,2,3,1,2,3] 001011000111=>111000110100=>[1,1,1,4,1,2,3] 001010110101=>101011010100=>[1,2,2,1,2,2,3] 001010110011=>110011010100=>[1,1,3,1,2,2,3] 001010101101=>101101010100=>[1,2,1,2,2,2,3] 001010101011=>110101010100=>[1,1,2,2,2,2,3] 001010011101=>101110010100=>[1,2,1,1,3,2,3] 001010011011=>110110010100=>[1,1,2,1,3,2,3] 001010010111=>111010010100=>[1,1,1,2,3,2,3] 001010001111=>111100010100=>[1,1,1,1,4,2,3] 001001110101=>101011100100=>[1,2,2,1,1,3,3] 001001110011=>110011100100=>[1,1,3,1,1,3,3] 001001101101=>101101100100=>[1,2,1,2,1,3,3] 001001101011=>110101100100=>[1,1,2,2,1,3,3] 001001100111=>111001100100=>[1,1,1,3,1,3,3] 001001011101=>101110100100=>[1,2,1,1,2,3,3] 001001011011=>110110100100=>[1,1,2,1,2,3,3] 001001010111=>111010100100=>[1,1,1,2,2,3,3] 001001001111=>111100100100=>[1,1,1,1,3,3,3] 001000111101=>101111000100=>[1,2,1,1,1,4,3] 001000111011=>110111000100=>[1,1,2,1,1,4,3] 001000110111=>111011000100=>[1,1,1,2,1,4,3] 001000101111=>111101000100=>[1,1,1,1,2,4,3] 001000011111=>111110000100=>[1,1,1,1,1,5,3] 000111010101=>101010111000=>[1,2,2,2,1,1,4] 000111010011=>110010111000=>[1,1,3,2,1,1,4] 000111001101=>101100111000=>[1,2,1,3,1,1,4] 000111001011=>110100111000=>[1,1,2,3,1,1,4] 000111000111=>111000111000=>[1,1,1,4,1,1,4] 000110110101=>101011011000=>[1,2,2,1,2,1,4] 000110110011=>110011011000=>[1,1,3,1,2,1,4] 000110101101=>101101011000=>[1,2,1,2,2,1,4] 000110101011=>110101011000=>[1,1,2,2,2,1,4] 000110100111=>111001011000=>[1,1,1,3,2,1,4] 000110011101=>101110011000=>[1,2,1,1,3,1,4] 000110011011=>110110011000=>[1,1,2,1,3,1,4] 000110010111=>111010011000=>[1,1,1,2,3,1,4] 000110001111=>111100011000=>[1,1,1,1,4,1,4] 000101110101=>101011101000=>[1,2,2,1,1,2,4] 000101101101=>101101101000=>[1,2,1,2,1,2,4] 000101101011=>110101101000=>[1,1,2,2,1,2,4] 000101100111=>111001101000=>[1,1,1,3,1,2,4] 000101011101=>101110101000=>[1,2,1,1,2,2,4] 000101011011=>110110101000=>[1,1,2,1,2,2,4] 000101010111=>111010101000=>[1,1,1,2,2,2,4] 000101001111=>111100101000=>[1,1,1,1,3,2,4] 000100111101=>101111001000=>[1,2,1,1,1,3,4] 000100111011=>110111001000=>[1,1,2,1,1,3,4] 000100110111=>111011001000=>[1,1,1,2,1,3,4] 000100101111=>111101001000=>[1,1,1,1,2,3,4] 000100011111=>111110001000=>[1,1,1,1,1,4,4] 000011110101=>101011110000=>[1,2,2,1,1,1,5] 000011110011=>110011110000=>[1,1,3,1,1,1,5] 000011101101=>101101110000=>[1,2,1,2,1,1,5] 000011101011=>110101110000=>[1,1,2,2,1,1,5] 000011100111=>111001110000=>[1,1,1,3,1,1,5] 000011011101=>101110110000=>[1,2,1,1,2,1,5] 000011011011=>110110110000=>[1,1,2,1,2,1,5] 000011010111=>111010110000=>[1,1,1,2,2,1,5] 000011001111=>111100110000=>[1,1,1,1,3,1,5] 000010111101=>101111010000=>[1,2,1,1,1,2,5] 000010111011=>110111010000=>[1,1,2,1,1,2,5] 000010110111=>111011010000=>[1,1,1,2,1,2,5] 000010101111=>111101010000=>[1,1,1,1,2,2,5] 000010011111=>111110010000=>[1,1,1,1,1,3,5] 000001111101=>101111100000=>[1,2,1,1,1,1,6] 000001111011=>110111100000=>[1,1,2,1,1,1,6] 000001110111=>111011100000=>[1,1,1,2,1,1,6] 000001101111=>111101100000=>[1,1,1,1,2,1,6] 000001011111=>111110100000=>[1,1,1,1,1,2,6] 000000111111=>111111000000=>[1,1,1,1,1,1,7] 11010101010=>01010101011=>[2,2,2,2,2,1,1] 11010101000=>00010101011=>[4,2,2,2,1,1] 11010101100=>00110101011=>[3,1,2,2,2,1,1] 11010100100=>00100101011=>[3,3,2,2,1,1] 11010110100=>00101101011=>[3,2,1,2,2,1,1] 11010010100=>00101001011=>[3,2,3,2,1,1] 11011010100=>00101011011=>[3,2,2,1,2,1,1] 11001010100=>00101010011=>[3,2,2,3,1,1] 11101010100=>00101010111=>[3,2,2,2,1,1,1] 10101010100=>00101010101=>[3,2,2,2,2,1] 111111111111=>111111111111=>[1,1,1,1,1,1,1,1,1,1,1,1,1] 111111111001=>100111111111=>[1,3,1,1,1,1,1,1,1,1,1] 111111100111=>111001111111=>[1,1,1,3,1,1,1,1,1,1,1] 111111100001=>100001111111=>[1,5,1,1,1,1,1,1,1] 111111101101=>101101111111=>[1,2,1,2,1,1,1,1,1,1,1] 111110011111=>111110011111=>[1,1,1,1,1,3,1,1,1,1,1] 111110011001=>100110011111=>[1,3,1,3,1,1,1,1,1] 111110000111=>111000011111=>[1,1,1,5,1,1,1,1,1] 111110000001=>100000011111=>[1,7,1,1,1,1,1] 111110001101=>101100011111=>[1,2,1,4,1,1,1,1,1] 111110110111=>111011011111=>[1,1,1,2,1,2,1,1,1,1,1] 111110110001=>100011011111=>[1,4,1,2,1,1,1,1,1] 111110111101=>101111011111=>[1,2,1,1,1,2,1,1,1,1,1] 111110100101=>101001011111=>[1,2,3,2,1,1,1,1,1] 111001111111=>111111100111=>[1,1,1,1,1,1,1,3,1,1,1] 111001111001=>100111100111=>[1,3,1,1,1,3,1,1,1] 111001100111=>111001100111=>[1,1,1,3,1,3,1,1,1] 111001100001=>100001100111=>[1,5,1,3,1,1,1] 111001101101=>101101100111=>[1,2,1,2,1,3,1,1,1] 111000011111=>111110000111=>[1,1,1,1,1,5,1,1,1] 111000011001=>100110000111=>[1,3,1,5,1,1,1] 111000000111=>111000000111=>[1,1,1,7,1,1,1] 111000000001=>100000000111=>[1,9,1,1,1] 111000001101=>101100000111=>[1,2,1,6,1,1,1] 111000110111=>111011000111=>[1,1,1,2,1,4,1,1,1] 111000110001=>100011000111=>[1,4,1,4,1,1,1] 111000111101=>101111000111=>[1,2,1,1,1,4,1,1,1] 111000100101=>101001000111=>[1,2,3,4,1,1,1] 111011011111=>111110110111=>[1,1,1,1,1,2,1,2,1,1,1] 111011011001=>100110110111=>[1,3,1,2,1,2,1,1,1] 111011000111=>111000110111=>[1,1,1,4,1,2,1,1,1] 111011000001=>100000110111=>[1,6,1,2,1,1,1] 111011001101=>101100110111=>[1,2,1,3,1,2,1,1,1] 111011110111=>111011110111=>[1,1,1,2,1,1,1,2,1,1,1] 111011110001=>100011110111=>[1,4,1,1,1,2,1,1,1] 111011111101=>101111110111=>[1,2,1,1,1,1,1,2,1,1,1] 111011100101=>101001110111=>[1,2,3,1,1,2,1,1,1] 111010010111=>111010010111=>[1,1,1,2,3,2,1,1,1] 111010010001=>100010010111=>[1,4,3,2,1,1,1] 111010011101=>101110010111=>[1,2,1,1,3,2,1,1,1] 111010000101=>101000010111=>[1,2,5,2,1,1,1] 111010110101=>101011010111=>[1,2,2,1,2,2,1,1,1] 100111111111=>111111111001=>[1,1,1,1,1,1,1,1,1,3,1] 100111111001=>100111111001=>[1,3,1,1,1,1,1,3,1] 100111100111=>111001111001=>[1,1,1,3,1,1,1,3,1] 100111100001=>100001111001=>[1,5,1,1,1,3,1] 100111101101=>101101111001=>[1,2,1,2,1,1,1,3,1] 100110011111=>111110011001=>[1,1,1,1,1,3,1,3,1] 100110011001=>100110011001=>[1,3,1,3,1,3,1] 100110000111=>111000011001=>[1,1,1,5,1,3,1] 100110000001=>100000011001=>[1,7,1,3,1] 100110001101=>101100011001=>[1,2,1,4,1,3,1] 100110110111=>111011011001=>[1,1,1,2,1,2,1,3,1] 100110110001=>100011011001=>[1,4,1,2,1,3,1] 100110111101=>101111011001=>[1,2,1,1,1,2,1,3,1] 100110100101=>101001011001=>[1,2,3,2,1,3,1] 100001111111=>111111100001=>[1,1,1,1,1,1,1,5,1] 100001111001=>100111100001=>[1,3,1,1,1,5,1] 100001100111=>111001100001=>[1,1,1,3,1,5,1] 100001100001=>100001100001=>[1,5,1,5,1] 100001101101=>101101100001=>[1,2,1,2,1,5,1] 100000011111=>111110000001=>[1,1,1,1,1,7,1] 100000011001=>100110000001=>[1,3,1,7,1] 100000000111=>111000000001=>[1,1,1,9,1] 100000000001=>100000000001=>[1,11,1] 100000001101=>101100000001=>[1,2,1,8,1] 100000110111=>111011000001=>[1,1,1,2,1,6,1] 100000110001=>100011000001=>[1,4,1,6,1] 100000111101=>101111000001=>[1,2,1,1,1,6,1] 100000100101=>101001000001=>[1,2,3,6,1] 100011011111=>111110110001=>[1,1,1,1,1,2,1,4,1] 100011011001=>100110110001=>[1,3,1,2,1,4,1] 100011000111=>111000110001=>[1,1,1,4,1,4,1] 100011000001=>100000110001=>[1,6,1,4,1] 100011001101=>101100110001=>[1,2,1,3,1,4,1] 100011110111=>111011110001=>[1,1,1,2,1,1,1,4,1] 100011110001=>100011110001=>[1,4,1,1,1,4,1] 100011111101=>101111110001=>[1,2,1,1,1,1,1,4,1] 100011100101=>101001110001=>[1,2,3,1,1,4,1] 100010010111=>111010010001=>[1,1,1,2,3,4,1] 100010010001=>100010010001=>[1,4,3,4,1] 100010011101=>101110010001=>[1,2,1,1,3,4,1] 100010000101=>101000010001=>[1,2,5,4,1] 100010110101=>101011010001=>[1,2,2,1,2,4,1] 101101111111=>111111101101=>[1,1,1,1,1,1,1,2,1,2,1] 101101111001=>100111101101=>[1,3,1,1,1,2,1,2,1] 101101100111=>111001101101=>[1,1,1,3,1,2,1,2,1] 101101100001=>100001101101=>[1,5,1,2,1,2,1] 101101101101=>101101101101=>[1,2,1,2,1,2,1,2,1] 101100011111=>111110001101=>[1,1,1,1,1,4,1,2,1] 101100011001=>100110001101=>[1,3,1,4,1,2,1] 101100000111=>111000001101=>[1,1,1,6,1,2,1] 101100000001=>100000001101=>[1,8,1,2,1] 101100001101=>101100001101=>[1,2,1,5,1,2,1] 101100110111=>111011001101=>[1,1,1,2,1,3,1,2,1] 101100110001=>100011001101=>[1,4,1,3,1,2,1] 101100111101=>101111001101=>[1,2,1,1,1,3,1,2,1] 101100100101=>101001001101=>[1,2,3,3,1,2,1] 101111011111=>111110111101=>[1,1,1,1,1,2,1,1,1,2,1] 101111011001=>100110111101=>[1,3,1,2,1,1,1,2,1] 101111000111=>111000111101=>[1,1,1,4,1,1,1,2,1] 101111000001=>100000111101=>[1,6,1,1,1,2,1] 101111001101=>101100111101=>[1,2,1,3,1,1,1,2,1] 101111110111=>111011111101=>[1,1,1,2,1,1,1,1,1,2,1] 101111110001=>100011111101=>[1,4,1,1,1,1,1,2,1] 101111111101=>101111111101=>[1,2,1,1,1,1,1,1,1,2,1] 101111100101=>101001111101=>[1,2,3,1,1,1,1,2,1] 101110010111=>111010011101=>[1,1,1,2,3,1,1,2,1] 101110010001=>100010011101=>[1,4,3,1,1,2,1] 101110011101=>101110011101=>[1,2,1,1,3,1,1,2,1] 101110000101=>101000011101=>[1,2,5,1,1,2,1] 101110110101=>101011011101=>[1,2,2,1,2,1,1,2,1] 101001011111=>111110100101=>[1,1,1,1,1,2,3,2,1] 101001011001=>100110100101=>[1,3,1,2,3,2,1] 101001000111=>111000100101=>[1,1,1,4,3,2,1] 101001000001=>100000100101=>[1,6,3,2,1] 101001001101=>101100100101=>[1,2,1,3,3,2,1] 101001110111=>111011100101=>[1,1,1,2,1,1,3,2,1] 101001110001=>100011100101=>[1,4,1,1,3,2,1] 101001111101=>101111100101=>[1,2,1,1,1,1,3,2,1] 101001100101=>101001100101=>[1,2,3,1,3,2,1] 101000010111=>111010000101=>[1,1,1,2,5,2,1] 101000010001=>100010000101=>[1,4,5,2,1] 101000011101=>101110000101=>[1,2,1,1,5,2,1] 101000000101=>101000000101=>[1,2,7,2,1] 101000110101=>101011000101=>[1,2,2,1,4,2,1] 101011010111=>111010110101=>[1,1,1,2,2,1,2,2,1] 101011010001=>100010110101=>[1,4,2,1,2,2,1] 101011011101=>101110110101=>[1,2,1,1,2,1,2,2,1] 101011000101=>101000110101=>[1,2,4,1,2,2,1] 101011110101=>101011110101=>[1,2,2,1,1,1,2,2,1] 101010010101=>101010010101=>[1,2,2,3,2,2,1] 0000000000=>0000000000=>[11] 0000000110=>0110000000=>[2,1,8] 0000011000=>0001100000=>[4,1,6] 0000011110=>0111100000=>[2,1,1,1,6] 0000010010=>0100100000=>[2,3,6] 0001100000=>0000011000=>[6,1,4] 0001100110=>0110011000=>[2,1,3,1,4] 0001111000=>0001111000=>[4,1,1,1,4] 0001111110=>0111111000=>[2,1,1,1,1,1,4] 0001110010=>0100111000=>[2,3,1,1,4] 0001001000=>0001001000=>[4,3,4] 0001001110=>0111001000=>[2,1,1,3,4] 0001000010=>0100001000=>[2,5,4] 0001011010=>0101101000=>[2,2,1,2,4] 0110000000=>0000000110=>[8,1,2] 0110000110=>0110000110=>[2,1,5,1,2] 0110011000=>0001100110=>[4,1,3,1,2] 0110011110=>0111100110=>[2,1,1,1,3,1,2] 0110010010=>0100100110=>[2,3,3,1,2] 0111100000=>0000011110=>[6,1,1,1,2] 0111100110=>0110011110=>[2,1,3,1,1,1,2] 0111111000=>0001111110=>[4,1,1,1,1,1,2] 0111111110=>0111111110=>[2,1,1,1,1,1,1,1,2] 0111110010=>0100111110=>[2,3,1,1,1,1,2] 0111001000=>0001001110=>[4,3,1,1,2] 0111001110=>0111001110=>[2,1,1,3,1,1,2] 0111000010=>0100001110=>[2,5,1,1,2] 0111011010=>0101101110=>[2,2,1,2,1,1,2] 0100100000=>0000010010=>[6,3,2] 0100100110=>0110010010=>[2,1,3,3,2] 0100111000=>0001110010=>[4,1,1,3,2] 0100111110=>0111110010=>[2,1,1,1,1,3,2] 0100110010=>0100110010=>[2,3,1,3,2] 0100001000=>0001000010=>[4,5,2] 0100001110=>0111000010=>[2,1,1,5,2] 0100000010=>0100000010=>[2,7,2] 0100011010=>0101100010=>[2,2,1,4,2] 0101101000=>0001011010=>[4,2,1,2,2] 0101101110=>0111011010=>[2,1,1,2,1,2,2] 0101100010=>0100011010=>[2,4,1,2,2] 0101111010=>0101111010=>[2,2,1,1,1,2,2] 0101001010=>0101001010=>[2,2,3,2,2] 000000000000=>000000000000=>[13] 000000000110=>011000000000=>[2,1,10] 000000011000=>000110000000=>[4,1,8] 000000011110=>011110000000=>[2,1,1,1,8] 000000010010=>010010000000=>[2,3,8] 000001100000=>000001100000=>[6,1,6] 000001100110=>011001100000=>[2,1,3,1,6] 000001111000=>000111100000=>[4,1,1,1,6] 000001111110=>011111100000=>[2,1,1,1,1,1,6] 000001110010=>010011100000=>[2,3,1,1,6] 000001001000=>000100100000=>[4,3,6] 000001001110=>011100100000=>[2,1,1,3,6] 000001000010=>010000100000=>[2,5,6] 000001011010=>010110100000=>[2,2,1,2,6] 000110000000=>000000011000=>[8,1,4] 000110000110=>011000011000=>[2,1,5,1,4] 000110011000=>000110011000=>[4,1,3,1,4] 000110011110=>011110011000=>[2,1,1,1,3,1,4] 000110010010=>010010011000=>[2,3,3,1,4] 000111100000=>000001111000=>[6,1,1,1,4] 000111100110=>011001111000=>[2,1,3,1,1,1,4] 000111111000=>000111111000=>[4,1,1,1,1,1,4] 000111111110=>011111111000=>[2,1,1,1,1,1,1,1,4] 000111110010=>010011111000=>[2,3,1,1,1,1,4] 000111001000=>000100111000=>[4,3,1,1,4] 000111001110=>011100111000=>[2,1,1,3,1,1,4] 000111000010=>010000111000=>[2,5,1,1,4] 000111011010=>010110111000=>[2,2,1,2,1,1,4] 000100100000=>000001001000=>[6,3,4] 000100100110=>011001001000=>[2,1,3,3,4] 000100111000=>000111001000=>[4,1,1,3,4] 000100111110=>011111001000=>[2,1,1,1,1,3,4] 000100110010=>010011001000=>[2,3,1,3,4] 000100001000=>000100001000=>[4,5,4] 000100001110=>011100001000=>[2,1,1,5,4] 000100000010=>010000001000=>[2,7,4] 000100011010=>010110001000=>[2,2,1,4,4] 000101101000=>000101101000=>[4,2,1,2,4] 000101101110=>011101101000=>[2,1,1,2,1,2,4] 000101100010=>010001101000=>[2,4,1,2,4] 000101111010=>010111101000=>[2,2,1,1,1,2,4] 000101001010=>010100101000=>[2,2,3,2,4] 011000000000=>000000000110=>[10,1,2] 011000000110=>011000000110=>[2,1,7,1,2] 011000011000=>000110000110=>[4,1,5,1,2] 011000011110=>011110000110=>[2,1,1,1,5,1,2] 011000010010=>010010000110=>[2,3,5,1,2] 011001100000=>000001100110=>[6,1,3,1,2] 011001100110=>011001100110=>[2,1,3,1,3,1,2] 011001111000=>000111100110=>[4,1,1,1,3,1,2] 011001111110=>011111100110=>[2,1,1,1,1,1,3,1,2] 011001110010=>010011100110=>[2,3,1,1,3,1,2] 011001001000=>000100100110=>[4,3,3,1,2] 011001001110=>011100100110=>[2,1,1,3,3,1,2] 011001000010=>010000100110=>[2,5,3,1,2] 011001011010=>010110100110=>[2,2,1,2,3,1,2] 011110000000=>000000011110=>[8,1,1,1,2] 011110000110=>011000011110=>[2,1,5,1,1,1,2] 011110011000=>000110011110=>[4,1,3,1,1,1,2] 011110011110=>011110011110=>[2,1,1,1,3,1,1,1,2] 011110010010=>010010011110=>[2,3,3,1,1,1,2] 011111100000=>000001111110=>[6,1,1,1,1,1,2] 011111100110=>011001111110=>[2,1,3,1,1,1,1,1,2] 011111111000=>000111111110=>[4,1,1,1,1,1,1,1,2] 011111111110=>011111111110=>[2,1,1,1,1,1,1,1,1,1,2] 011111110010=>010011111110=>[2,3,1,1,1,1,1,1,2] 011111001000=>000100111110=>[4,3,1,1,1,1,2] 011111001110=>011100111110=>[2,1,1,3,1,1,1,1,2] 011111000010=>010000111110=>[2,5,1,1,1,1,2] 011111011010=>010110111110=>[2,2,1,2,1,1,1,1,2] 011100100000=>000001001110=>[6,3,1,1,2] 011100100110=>011001001110=>[2,1,3,3,1,1,2] 011100111000=>000111001110=>[4,1,1,3,1,1,2] 011100111110=>011111001110=>[2,1,1,1,1,3,1,1,2] 011100110010=>010011001110=>[2,3,1,3,1,1,2] 011100001000=>000100001110=>[4,5,1,1,2] 011100001110=>011100001110=>[2,1,1,5,1,1,2] 011100000010=>010000001110=>[2,7,1,1,2] 011100011010=>010110001110=>[2,2,1,4,1,1,2] 011101101000=>000101101110=>[4,2,1,2,1,1,2] 011101101110=>011101101110=>[2,1,1,2,1,2,1,1,2] 011101100010=>010001101110=>[2,4,1,2,1,1,2] 011101111010=>010111101110=>[2,2,1,1,1,2,1,1,2] 011101001010=>010100101110=>[2,2,3,2,1,1,2] 010010000000=>000000010010=>[8,3,2] 010010000110=>011000010010=>[2,1,5,3,2] 010010011000=>000110010010=>[4,1,3,3,2] 010010011110=>011110010010=>[2,1,1,1,3,3,2] 010010010010=>010010010010=>[2,3,3,3,2] 010011100000=>000001110010=>[6,1,1,3,2] 010011100110=>011001110010=>[2,1,3,1,1,3,2] 010011111000=>000111110010=>[4,1,1,1,1,3,2] 010011111110=>011111110010=>[2,1,1,1,1,1,1,3,2] 010011110010=>010011110010=>[2,3,1,1,1,3,2] 010011001000=>000100110010=>[4,3,1,3,2] 010011001110=>011100110010=>[2,1,1,3,1,3,2] 010011000010=>010000110010=>[2,5,1,3,2] 010011011010=>010110110010=>[2,2,1,2,1,3,2] 010000100000=>000001000010=>[6,5,2] 010000100110=>011001000010=>[2,1,3,5,2] 010000111000=>000111000010=>[4,1,1,5,2] 010000111110=>011111000010=>[2,1,1,1,1,5,2] 010000110010=>010011000010=>[2,3,1,5,2] 010000001000=>000100000010=>[4,7,2] 010000001110=>011100000010=>[2,1,1,7,2] 010000000010=>010000000010=>[2,9,2] 010000011010=>010110000010=>[2,2,1,6,2] 010001101000=>000101100010=>[4,2,1,4,2] 010001101110=>011101100010=>[2,1,1,2,1,4,2] 010001100010=>010001100010=>[2,4,1,4,2] 010001111010=>010111100010=>[2,2,1,1,1,4,2] 010001001010=>010100100010=>[2,2,3,4,2] 010110100000=>000001011010=>[6,2,1,2,2] 010110100110=>011001011010=>[2,1,3,2,1,2,2] 010110111000=>000111011010=>[4,1,1,2,1,2,2] 010110111110=>011111011010=>[2,1,1,1,1,2,1,2,2] 010110110010=>010011011010=>[2,3,1,2,1,2,2] 010110001000=>000100011010=>[4,4,1,2,2] 010110001110=>011100011010=>[2,1,1,4,1,2,2] 010110000010=>010000011010=>[2,6,1,2,2] 010110011010=>010110011010=>[2,2,1,3,1,2,2] 010111101000=>000101111010=>[4,2,1,1,1,2,2] 010111101110=>011101111010=>[2,1,1,2,1,1,1,2,2] 010111100010=>010001111010=>[2,4,1,1,1,2,2] 010111111010=>010111111010=>[2,2,1,1,1,1,1,2,2] 010111001010=>010100111010=>[2,2,3,1,1,2,2] 010100101000=>000101001010=>[4,2,3,2,2] 010100101110=>011101001010=>[2,1,1,2,3,2,2] 010100100010=>010001001010=>[2,4,3,2,2] 010100111010=>010111001010=>[2,2,1,1,3,2,2] 010100001010=>010100001010=>[2,2,5,2,2] 010101101010=>010101101010=>[2,2,2,1,2,2,2] 0010101010=>0101010100=>[2,2,2,2,3] 0010101000=>0001010100=>[4,2,2,3] 0010101100=>0011010100=>[3,1,2,2,3] 0010100100=>0010010100=>[3,3,2,3] 0010110100=>0010110100=>[3,2,1,2,3] 0010010100=>0010100100=>[3,2,3,3] 0011010100=>0010101100=>[3,2,2,1,3] 0001010100=>0010101000=>[3,2,2,4] 0101010100=>0010101010=>[3,2,2,2,2] 00101010101=>10101010100=>[1,2,2,2,2,3] 00101010111=>11101010100=>[1,1,1,2,2,2,3] 0010101110=>0111010100=>[2,1,1,2,2,3] 00101010011=>11001010100=>[1,1,3,2,2,3] 0010100000=>0000010100=>[6,2,3] 00101011011=>11011010100=>[1,1,2,1,2,2,3] 0010111100=>0011110100=>[3,1,1,1,2,3] 00101001011=>11010010100=>[1,1,2,3,2,3] 0010000100=>0010000100=>[3,5,3] 00101101011=>11010110100=>[1,1,2,2,1,2,3] 0011110100=>0010111100=>[3,2,1,1,1,3] 00100101011=>11010100100=>[1,1,2,2,3,3] 0000010100=>0010100000=>[3,2,6] 00110101011=>11010101100=>[1,1,2,2,2,1,3] 0111010100=>0010101110=>[3,2,2,1,1,2] 00010101011=>11010101000=>[1,1,2,2,2,4] 01010101011=>11010101010=>[1,1,2,2,2,2,2] 0000000010=>0100000000=>[2,9] 0000001110=>0111000000=>[2,1,1,7] 0000111110=>0111110000=>[2,1,1,1,1,5] 0011111110=>0111111100=>[2,1,1,1,1,1,1,3] 00000000000=>00000000000=>[12] 00000000010=>01000000000=>[2,10] 0000000100=>0010000000=>[3,8] 00000000110=>01100000000=>[2,1,9] 0000001010=>0101000000=>[2,2,7] 00000001110=>01110000000=>[2,1,1,8] 0000010110=>0110100000=>[2,1,2,6] 00000011110=>01111000000=>[2,1,1,1,7] 0000101110=>0111010000=>[2,1,1,2,5] 00000111110=>01111100000=>[2,1,1,1,1,6] 0001011110=>0111101000=>[2,1,1,1,2,4] 00001111110=>01111110000=>[2,1,1,1,1,1,5] 0010111110=>0111110100=>[2,1,1,1,1,2,3] 00011111110=>01111111000=>[2,1,1,1,1,1,1,4] 0101111110=>0111111010=>[2,1,1,1,1,1,2,2] 00111111110=>01111111100=>[2,1,1,1,1,1,1,1,3] 01111111110=>01111111110=>[2,1,1,1,1,1,1,1,1,2] 0010110010=>0100110100=>[2,3,1,2,3] 0010111000=>0001110100=>[4,1,1,2,3] 0011001010=>0101001100=>[2,2,3,1,3] 0011001100=>0011001100=>[3,1,3,1,3] 0011010010=>0100101100=>[2,3,2,1,3] 0011011000=>0001101100=>[4,1,2,1,3] 0011100010=>0100011100=>[2,4,1,1,3] 0011100100=>0010011100=>[3,3,1,1,3] 0011101000=>0001011100=>[4,2,1,1,3] 0011110000=>0000111100=>[5,1,1,1,3] 0100101010=>0101010010=>[2,2,2,3,2] 0100101100=>0011010010=>[3,1,2,3,2] 0100110100=>0010110010=>[3,2,1,3,2] 0101001100=>0011001010=>[3,1,3,2,2] 0101010010=>0100101010=>[2,3,2,2,2] 0101011000=>0001101010=>[4,1,2,2,2] 0101100100=>0010011010=>[3,3,1,2,2] 0101110000=>0000111010=>[5,1,1,2,2] 0110001010=>0101000110=>[2,2,4,1,2] 0110001100=>0011000110=>[3,1,4,1,2] 0110010100=>0010100110=>[3,2,3,1,2] 0110100010=>0100010110=>[2,4,2,1,2] 0110100100=>0010010110=>[3,3,2,1,2] 0110101000=>0001010110=>[4,2,2,1,2] 0110110000=>0000110110=>[5,1,2,1,2] 0111000100=>0010001110=>[3,4,1,1,2] 0111010000=>0000101110=>[5,2,1,1,2] 001010101010=>010101010100=>[2,2,2,2,2,3] 001010101100=>001101010100=>[3,1,2,2,2,3] 001010110010=>010011010100=>[2,3,1,2,2,3] 001010110100=>001011010100=>[3,2,1,2,2,3] 001010111000=>000111010100=>[4,1,1,2,2,3] 001011001010=>010100110100=>[2,2,3,1,2,3] 001011001100=>001100110100=>[3,1,3,1,2,3] 001011010010=>010010110100=>[2,3,2,1,2,3] 001011010100=>001010110100=>[3,2,2,1,2,3] 001011011000=>000110110100=>[4,1,2,1,2,3] 001011100010=>010001110100=>[2,4,1,1,2,3] 001011100100=>001001110100=>[3,3,1,1,2,3] 001011101000=>000101110100=>[4,2,1,1,2,3] 001011110000=>000011110100=>[5,1,1,1,2,3] 001100101010=>010101001100=>[2,2,2,3,1,3] 001100101100=>001101001100=>[3,1,2,3,1,3] 001100110010=>010011001100=>[2,3,1,3,1,3] 001100110100=>001011001100=>[3,2,1,3,1,3] 001100111000=>000111001100=>[4,1,1,3,1,3] 001101001010=>010100101100=>[2,2,3,2,1,3] 001101001100=>001100101100=>[3,1,3,2,1,3] 001101010010=>010010101100=>[2,3,2,2,1,3] 001101010100=>001010101100=>[3,2,2,2,1,3] 001101011000=>000110101100=>[4,1,2,2,1,3] 001101100010=>010001101100=>[2,4,1,2,1,3] 001101100100=>001001101100=>[3,3,1,2,1,3] 001101101000=>000101101100=>[4,2,1,2,1,3] 001101110000=>000011101100=>[5,1,1,2,1,3] 001110001010=>010100011100=>[2,2,4,1,1,3] 001110001100=>001100011100=>[3,1,4,1,1,3] 001110010010=>010010011100=>[2,3,3,1,1,3] 001110010100=>001010011100=>[3,2,3,1,1,3] 001110011000=>000110011100=>[4,1,3,1,1,3] 001110100010=>010001011100=>[2,4,2,1,1,3] 001110100100=>001001011100=>[3,3,2,1,1,3] 001110101000=>000101011100=>[4,2,2,1,1,3] 001110110000=>000011011100=>[5,1,2,1,1,3] 001111000010=>010000111100=>[2,5,1,1,1,3] 001111000100=>001000111100=>[3,4,1,1,1,3] 001111001000=>000100111100=>[4,3,1,1,1,3] 001111010000=>000010111100=>[5,2,1,1,1,3] 001111100000=>000001111100=>[6,1,1,1,1,3] 010010101010=>010101010010=>[2,2,2,2,3,2] 010010101100=>001101010010=>[3,1,2,2,3,2] 010010110010=>010011010010=>[2,3,1,2,3,2] 010010110100=>001011010010=>[3,2,1,2,3,2] 010010111000=>000111010010=>[4,1,1,2,3,2] 010011001010=>010100110010=>[2,2,3,1,3,2] 010011001100=>001100110010=>[3,1,3,1,3,2] 010011010010=>010010110010=>[2,3,2,1,3,2] 010011010100=>001010110010=>[3,2,2,1,3,2] 010011011000=>000110110010=>[4,1,2,1,3,2] 010011100010=>010001110010=>[2,4,1,1,3,2] 010011100100=>001001110010=>[3,3,1,1,3,2] 010011101000=>000101110010=>[4,2,1,1,3,2] 010011110000=>000011110010=>[5,1,1,1,3,2] 010100101010=>010101001010=>[2,2,2,3,2,2] 010100101100=>001101001010=>[3,1,2,3,2,2] 010100110010=>010011001010=>[2,3,1,3,2,2] 010100110100=>001011001010=>[3,2,1,3,2,2] 010100111000=>000111001010=>[4,1,1,3,2,2] 010101001010=>010100101010=>[2,2,3,2,2,2] 010101001100=>001100101010=>[3,1,3,2,2,2] 010101010010=>010010101010=>[2,3,2,2,2,2] 010101010100=>001010101010=>[3,2,2,2,2,2] 010101011000=>000110101010=>[4,1,2,2,2,2] 010101100010=>010001101010=>[2,4,1,2,2,2] 010101100100=>001001101010=>[3,3,1,2,2,2] 010101101000=>000101101010=>[4,2,1,2,2,2] 010101110000=>000011101010=>[5,1,1,2,2,2] 010110001010=>010100011010=>[2,2,4,1,2,2] 010110001100=>001100011010=>[3,1,4,1,2,2] 010110010010=>010010011010=>[2,3,3,1,2,2] 010110010100=>001010011010=>[3,2,3,1,2,2] 010110011000=>000110011010=>[4,1,3,1,2,2] 010110100010=>010001011010=>[2,4,2,1,2,2] 010110100100=>001001011010=>[3,3,2,1,2,2] 010110101000=>000101011010=>[4,2,2,1,2,2] 010110110000=>000011011010=>[5,1,2,1,2,2] 010111000010=>010000111010=>[2,5,1,1,2,2] 010111000100=>001000111010=>[3,4,1,1,2,2] 010111001000=>000100111010=>[4,3,1,1,2,2] 010111010000=>000010111010=>[5,2,1,1,2,2] 010111100000=>000001111010=>[6,1,1,1,2,2] 011000101010=>010101000110=>[2,2,2,4,1,2] 011000101100=>001101000110=>[3,1,2,4,1,2] 011000110010=>010011000110=>[2,3,1,4,1,2] 011000110100=>001011000110=>[3,2,1,4,1,2] 011000111000=>000111000110=>[4,1,1,4,1,2] 011001001010=>010100100110=>[2,2,3,3,1,2] 011001001100=>001100100110=>[3,1,3,3,1,2] 011001010010=>010010100110=>[2,3,2,3,1,2] 011001010100=>001010100110=>[3,2,2,3,1,2] 011001011000=>000110100110=>[4,1,2,3,1,2] 011001100010=>010001100110=>[2,4,1,3,1,2] 011001100100=>001001100110=>[3,3,1,3,1,2] 011001101000=>000101100110=>[4,2,1,3,1,2] 011001110000=>000011100110=>[5,1,1,3,1,2] 011010001010=>010100010110=>[2,2,4,2,1,2] 011010001100=>001100010110=>[3,1,4,2,1,2] 011010010010=>010010010110=>[2,3,3,2,1,2] 011010010100=>001010010110=>[3,2,3,2,1,2] 011010011000=>000110010110=>[4,1,3,2,1,2] 011010100010=>010001010110=>[2,4,2,2,1,2] 011010100100=>001001010110=>[3,3,2,2,1,2] 011010101000=>000101010110=>[4,2,2,2,1,2] 011010110000=>000011010110=>[5,1,2,2,1,2] 011011000010=>010000110110=>[2,5,1,2,1,2] 011011000100=>001000110110=>[3,4,1,2,1,2] 011011001000=>000100110110=>[4,3,1,2,1,2] 011011010000=>000010110110=>[5,2,1,2,1,2] 011011100000=>000001110110=>[6,1,1,2,1,2] 011100001010=>010100001110=>[2,2,5,1,1,2] 011100001100=>001100001110=>[3,1,5,1,1,2] 011100010010=>010010001110=>[2,3,4,1,1,2] 011100010100=>001010001110=>[3,2,4,1,1,2] 011100011000=>000110001110=>[4,1,4,1,1,2] 011100100010=>010001001110=>[2,4,3,1,1,2] 011100100100=>001001001110=>[3,3,3,1,1,2] 011100101000=>000101001110=>[4,2,3,1,1,2] 011100110000=>000011001110=>[5,1,3,1,1,2] 011101000010=>010000101110=>[2,5,2,1,1,2] 011101000100=>001000101110=>[3,4,2,1,1,2] 011101001000=>000100101110=>[4,3,2,1,1,2] 011101010000=>000010101110=>[5,2,2,1,1,2] 011101100000=>000001101110=>[6,1,2,1,1,2] 011110000010=>010000011110=>[2,6,1,1,1,2] 011110000100=>001000011110=>[3,5,1,1,1,2] 011110001000=>000100011110=>[4,4,1,1,1,2] 011110010000=>000010011110=>[5,3,1,1,1,2] 011110100000=>000001011110=>[6,2,1,1,1,2] 011111000000=>000000111110=>[7,1,1,1,1,2] 10101010101=>10101010101=>[1,2,2,2,2,2,1] 10101010010=>01001010101=>[2,3,2,2,2,1] 10101001001=>10010010101=>[1,3,3,2,2,1] 10101001010=>01010010101=>[2,2,3,2,2,1] 10101000100=>00100010101=>[3,4,2,2,1] 10100100101=>10100100101=>[1,2,3,3,2,1] 10100100010=>01000100101=>[2,4,3,2,1] 10100101001=>10010100101=>[1,3,2,3,2,1] 10100100100=>00100100101=>[3,3,3,2,1] 10100010001=>10001000101=>[1,4,4,2,1] 10100010100=>00101000101=>[3,2,4,2,1] 10100001000=>00010000101=>[4,5,2,1] 10010010101=>10101001001=>[1,2,2,3,3,1] 10010001001=>10010001001=>[1,3,4,3,1] 10010100101=>10100101001=>[1,2,3,2,3,1] 10010101001=>10010101001=>[1,3,2,2,3,1] 10010100100=>00100101001=>[3,3,2,3,1] 10010010001=>10001001001=>[1,4,3,3,1] 10001000101=>10100010001=>[1,2,4,4,1] 10001001001=>10010010001=>[1,3,3,4,1] 10001010001=>10001010001=>[1,4,2,4,1] 10000100001=>10000100001=>[1,5,5,1] 01001010101=>10101010010=>[1,2,2,2,3,2] 01001010010=>01001010010=>[2,3,2,3,2] 01001001001=>10010010010=>[1,3,3,3,2] 01001001010=>01010010010=>[2,2,3,3,2] 01001000100=>00100010010=>[3,4,3,2] 01000100101=>10100100010=>[1,2,3,4,2] 01000100010=>01000100010=>[2,4,4,2] 01000101001=>10010100010=>[1,3,2,4,2] 01000101010=>01010100010=>[2,2,2,4,2] 01000100100=>00100100010=>[3,3,4,2] 01000010001=>10001000010=>[1,4,5,2] 01000010010=>01001000010=>[2,3,5,2] 01000010100=>00101000010=>[3,2,5,2] 01000001000=>00010000010=>[4,6,2] 01010010101=>10101001010=>[1,2,2,3,2,2] 01010010010=>01001001010=>[2,3,3,2,2] 01010001001=>10010001010=>[1,3,4,2,2] 01010001010=>01010001010=>[2,2,4,2,2] 01010000100=>00100001010=>[3,5,2,2] 01010100101=>10100101010=>[1,2,3,2,2,2] 01010100010=>01000101010=>[2,4,2,2,2] 01010101001=>10010101010=>[1,3,2,2,2,2] 01010101010=>01010101010=>[2,2,2,2,2,2] 01010100100=>00100101010=>[3,3,2,2,2] 01010010001=>10001001010=>[1,4,3,2,2] 01010010100=>00101001010=>[3,2,3,2,2] 01010001000=>00010001010=>[4,4,2,2] 01001000101=>10100010010=>[1,2,4,3,2] 01001000010=>01000010010=>[2,5,3,2] 01001010001=>10001010010=>[1,4,2,3,2] 01001010100=>00101010010=>[3,2,2,3,2] 01001001000=>00010010010=>[4,3,3,2] 01000100001=>10000100010=>[1,5,4,2] 01000101000=>00010100010=>[4,2,4,2] 01000010000=>00001000010=>[5,5,2] 00100010101=>10101000100=>[1,2,2,4,3] 00100010010=>01001000100=>[2,3,4,3] 00100001001=>10010000100=>[1,3,5,3] 00100001010=>01010000100=>[2,2,5,3] 00100000100=>00100000100=>[3,6,3] 00100100101=>10100100100=>[1,2,3,3,3] 00100100010=>01000100100=>[2,4,3,3] 00100101001=>10010100100=>[1,3,2,3,3] 00100101010=>01010100100=>[2,2,2,3,3] 00100100100=>00100100100=>[3,3,3,3] 00100010001=>10001000100=>[1,4,4,3] 00100010100=>00101000100=>[3,2,4,3] 00100001000=>00010000100=>[4,5,3] 00101000101=>10100010100=>[1,2,4,2,3] 00101000010=>01000010100=>[2,5,2,3] 00101001001=>10010010100=>[1,3,3,2,3] 00101001010=>01010010100=>[2,2,3,2,3] 00101000100=>00100010100=>[3,4,2,3] 00101010001=>10001010100=>[1,4,2,2,3] 00101010010=>01001010100=>[2,3,2,2,3] 00101010100=>00101010100=>[3,2,2,2,3] 00101001000=>00010010100=>[4,3,2,3] 00100100001=>10000100100=>[1,5,3,3] 00100101000=>00010100100=>[4,2,3,3] 00100010000=>00001000100=>[5,4,3] 00010000101=>10100001000=>[1,2,5,4] 00010000010=>01000001000=>[2,6,4] 00010001001=>10010001000=>[1,3,4,4] 00010001010=>01010001000=>[2,2,4,4] 00010000100=>00100001000=>[3,5,4] 00010010001=>10001001000=>[1,4,3,4] 00010010010=>01001001000=>[2,3,3,4] 00010010100=>00101001000=>[3,2,3,4] 00010001000=>00010001000=>[4,4,4] 00010100001=>10000101000=>[1,5,2,4] 00010100010=>01000101000=>[2,4,2,4] 00010100100=>00100101000=>[3,3,2,4] 00010101000=>00010101000=>[4,2,2,4] 00010010000=>00001001000=>[5,3,4] 00001000001=>10000010000=>[1,6,5] 00001000010=>01000010000=>[2,5,5] 00001000100=>00100010000=>[3,4,5] 00001001000=>00010010000=>[4,3,5] 00001010000=>00001010000=>[5,2,5] 00000100000=>00000100000=>[6,6] 101010101010101010=>010101010101010101=>[2,2,2,2,2,2,2,2,2,1] 101010101010101100=>001101010101010101=>[3,1,2,2,2,2,2,2,2,1] 101010101010110100=>001011010101010101=>[3,2,1,2,2,2,2,2,2,1] 101010101011010100=>001010110101010101=>[3,2,2,1,2,2,2,2,2,1] 101010101101010100=>001010101101010101=>[3,2,2,2,1,2,2,2,2,1] 101010110101010100=>001010101011010101=>[3,2,2,2,2,1,2,2,2,1] 101011010101010100=>001010101010110101=>[3,2,2,2,2,2,1,2,2,1] 101101010101010100=>001010101010101101=>[3,2,2,2,2,2,2,1,2,1] 110101010101010100=>001010101010101011=>[3,2,2,2,2,2,2,2,1,1] 10101010101010101010=>01010101010101010101=>[2,2,2,2,2,2,2,2,2,2,1] 10101010101010101100=>00110101010101010101=>[3,1,2,2,2,2,2,2,2,2,1] 101010101010111000=>000111010101010101=>[4,1,1,2,2,2,2,2,2,1] 10101010101010110100=>00101101010101010101=>[3,2,1,2,2,2,2,2,2,2,1] 101010101011100100=>001001110101010101=>[3,3,1,1,2,2,2,2,2,1] 10101010101011010100=>00101011010101010101=>[3,2,2,1,2,2,2,2,2,2,1] 101010101110010100=>001010011101010101=>[3,2,3,1,1,2,2,2,2,1] 10101010101101010100=>00101010110101010101=>[3,2,2,2,1,2,2,2,2,2,1] 101010111001010100=>001010100111010101=>[3,2,2,3,1,1,2,2,2,1] 10101010110101010100=>00101010101101010101=>[3,2,2,2,2,1,2,2,2,2,1] 101011100101010100=>001010101001110101=>[3,2,2,2,3,1,1,2,2,1] 10101011010101010100=>00101010101011010101=>[3,2,2,2,2,2,1,2,2,2,1] 101110010101010100=>001010101010011101=>[3,2,2,2,2,3,1,1,2,1] 10101101010101010100=>00101010101010110101=>[3,2,2,2,2,2,2,1,2,2,1] 111001010101010100=>001010101010100111=>[3,2,2,2,2,2,3,1,1,1] 10110101010101010100=>00101010101010101101=>[3,2,2,2,2,2,2,2,1,2,1] 11010101010101010100=>00101010101010101011=>[3,2,2,2,2,2,2,2,2,1,1] 0100000000=>0000000010=>[9,2] 0100000111=>1110000010=>[1,1,1,6,2] 0100111111=>1111110010=>[1,1,1,1,1,1,3,2] 0101111111=>1111111010=>[1,1,1,1,1,1,1,2,2] 01000000000=>00000000010=>[10,2] 01000000011=>11000000010=>[1,1,8,2] 0100000101=>1010000010=>[1,2,6,2] 0100001011=>1101000010=>[1,1,2,5,2] 01000011111=>11111000010=>[1,1,1,1,1,5,2] 0100101111=>1111010010=>[1,1,1,1,2,3,2] 0101011111=>1111101010=>[1,1,1,1,1,2,2,2] 01001111111=>11111110010=>[1,1,1,1,1,1,1,3,2] 0110111111=>1111110110=>[1,1,1,1,1,1,2,1,2] 01011111111=>11111111010=>[1,1,1,1,1,1,1,1,2,2] 111111110000000010=>010000000011111111=>[2,9,1,1,1,1,1,1,1,1] 101111111100000000=>000000001111111101=>[9,1,1,1,1,1,1,1,2,1] 11111111100000000010=>01000000000111111111=>[2,10,1,1,1,1,1,1,1,1,1] 111111101000000010=>010000000101111111=>[2,8,2,1,1,1,1,1,1,1] 101111111010000000=>000000010111111101=>[8,2,1,1,1,1,1,1,2,1] 10111111111000000000=>00000000011111111101=>[10,1,1,1,1,1,1,1,1,2,1] 1111111111000000000010=>0100000000001111111111=>[2,11,1,1,1,1,1,1,1,1,1,1] 11111111010000000010=>01000000001011111111=>[2,9,2,1,1,1,1,1,1,1,1] 111111100100000010=>010000001001111111=>[2,7,3,1,1,1,1,1,1,1] 111111011000000010=>010000000110111111=>[2,8,1,2,1,1,1,1,1,1] 101111111001000000=>000000100111111101=>[7,3,1,1,1,1,1,1,2,1] 101111110110000000=>000000011011111101=>[8,1,2,1,1,1,1,1,2,1] 10111111110100000000=>00000000101111111101=>[9,2,1,1,1,1,1,1,1,2,1] 1011111111110000000000=>0000000000111111111101=>[11,1,1,1,1,1,1,1,1,1,2,1] 0101010110=>0110101010=>[2,1,2,2,2,2] 0101011001=>1001101010=>[1,3,1,2,2,2] 0101011010=>0101101010=>[2,2,1,2,2,2] 0101011100=>0011101010=>[3,1,1,2,2,2] 0101100101=>1010011010=>[1,2,3,1,2,2] 0101100110=>0110011010=>[2,1,3,1,2,2] 0101101001=>1001011010=>[1,3,2,1,2,2] 0101101010=>0101011010=>[2,2,2,1,2,2] 0101101100=>0011011010=>[3,1,2,1,2,2] 0101110001=>1000111010=>[1,4,1,1,2,2] 0101110010=>0100111010=>[2,3,1,1,2,2] 0101110100=>0010111010=>[3,2,1,1,2,2] 0101111000=>0001111010=>[4,1,1,1,2,2] 0110010101=>1010100110=>[1,2,2,3,1,2] 0110010110=>0110100110=>[2,1,2,3,1,2] 0110011001=>1001100110=>[1,3,1,3,1,2] 0110011010=>0101100110=>[2,2,1,3,1,2] 0110011100=>0011100110=>[3,1,1,3,1,2] 0110100101=>1010010110=>[1,2,3,2,1,2] 0110100110=>0110010110=>[2,1,3,2,1,2] 0110101001=>1001010110=>[1,3,2,2,1,2] 0110101010=>0101010110=>[2,2,2,2,1,2] 0110101100=>0011010110=>[3,1,2,2,1,2] 0110110001=>1000110110=>[1,4,1,2,1,2] 0110110010=>0100110110=>[2,3,1,2,1,2] 0110110100=>0010110110=>[3,2,1,2,1,2] 0110111000=>0001110110=>[4,1,1,2,1,2] 0111000101=>1010001110=>[1,2,4,1,1,2] 0111000110=>0110001110=>[2,1,4,1,1,2] 0111001001=>1001001110=>[1,3,3,1,1,2] 0111001010=>0101001110=>[2,2,3,1,1,2] 0111001100=>0011001110=>[3,1,3,1,1,2] 0111010010=>0100101110=>[2,3,2,1,1,2] 0111011000=>0001101110=>[4,1,2,1,1,2] 0111100010=>0100011110=>[2,4,1,1,1,2] 0111100100=>0010011110=>[3,3,1,1,1,2] 0111101000=>0001011110=>[4,2,1,1,1,2] 0111110000=>0000111110=>[5,1,1,1,1,2] 010101010110=>011010101010=>[2,1,2,2,2,2,2] 010101011001=>100110101010=>[1,3,1,2,2,2,2] 010101011010=>010110101010=>[2,2,1,2,2,2,2] 010101011100=>001110101010=>[3,1,1,2,2,2,2] 010101100101=>101001101010=>[1,2,3,1,2,2,2] 010101101001=>100101101010=>[1,3,2,1,2,2,2] 010101101100=>001101101010=>[3,1,2,1,2,2,2] 010101110001=>100011101010=>[1,4,1,1,2,2,2] 010101110010=>010011101010=>[2,3,1,1,2,2,2] 010101110100=>001011101010=>[3,2,1,1,2,2,2] 010101111000=>000111101010=>[4,1,1,1,2,2,2] 010110010101=>101010011010=>[1,2,2,3,1,2,2] 010110010110=>011010011010=>[2,1,2,3,1,2,2] 010110011001=>100110011010=>[1,3,1,3,1,2,2] 010110011100=>001110011010=>[3,1,1,3,1,2,2] 010110100101=>101001011010=>[1,2,3,2,1,2,2] 010110101001=>100101011010=>[1,3,2,2,1,2,2] 010110101010=>010101011010=>[2,2,2,2,1,2,2] 010110101100=>001101011010=>[3,1,2,2,1,2,2] 010110110001=>100011011010=>[1,4,1,2,1,2,2] 010110110100=>001011011010=>[3,2,1,2,1,2,2] 010111000101=>101000111010=>[1,2,4,1,1,2,2] 010111001001=>100100111010=>[1,3,3,1,1,2,2] 010111001100=>001100111010=>[3,1,3,1,1,2,2] 010111010001=>100010111010=>[1,4,2,1,1,2,2] 010111010010=>010010111010=>[2,3,2,1,1,2,2] 010111010100=>001010111010=>[3,2,2,1,1,2,2] 010111011000=>000110111010=>[4,1,2,1,1,2,2] 010111100001=>100001111010=>[1,5,1,1,1,2,2] 010111100100=>001001111010=>[3,3,1,1,1,2,2] 010111110000=>000011111010=>[5,1,1,1,1,2,2] 011001010101=>101010100110=>[1,2,2,2,3,1,2] 011001010110=>011010100110=>[2,1,2,2,3,1,2] 011001011001=>100110100110=>[1,3,1,2,3,1,2] 011001011100=>001110100110=>[3,1,1,2,3,1,2] 011001100101=>101001100110=>[1,2,3,1,3,1,2] 011001101001=>100101100110=>[1,3,2,1,3,1,2] 011001101100=>001101100110=>[3,1,2,1,3,1,2] 011001110001=>100011100110=>[1,4,1,1,3,1,2] 011001110100=>001011100110=>[3,2,1,1,3,1,2] 011010010101=>101010010110=>[1,2,2,3,2,1,2] 011010010110=>011010010110=>[2,1,2,3,2,1,2] 011010011001=>100110010110=>[1,3,1,3,2,1,2] 011010011010=>010110010110=>[2,2,1,3,2,1,2] 011010011100=>001110010110=>[3,1,1,3,2,1,2] 011010100101=>101001010110=>[1,2,3,2,2,1,2] 011010100110=>011001010110=>[2,1,3,2,2,1,2] 011010101001=>100101010110=>[1,3,2,2,2,1,2] 011010101010=>010101010110=>[2,2,2,2,2,1,2] 011010101100=>001101010110=>[3,1,2,2,2,1,2] 011010110001=>100011010110=>[1,4,1,2,2,1,2] 011010110010=>010011010110=>[2,3,1,2,2,1,2] 011010110100=>001011010110=>[3,2,1,2,2,1,2] 011010111000=>000111010110=>[4,1,1,2,2,1,2] 011011000101=>101000110110=>[1,2,4,1,2,1,2] 011011000110=>011000110110=>[2,1,4,1,2,1,2] 011011001001=>100100110110=>[1,3,3,1,2,1,2] 011011001010=>010100110110=>[2,2,3,1,2,1,2] 011011001100=>001100110110=>[3,1,3,1,2,1,2] 011011010001=>100010110110=>[1,4,2,1,2,1,2] 011011010010=>010010110110=>[2,3,2,1,2,1,2] 011011010100=>001010110110=>[3,2,2,1,2,1,2] 011011011000=>000110110110=>[4,1,2,1,2,1,2] 011011100001=>100001110110=>[1,5,1,1,2,1,2] 011011100010=>010001110110=>[2,4,1,1,2,1,2] 011011100100=>001001110110=>[3,3,1,1,2,1,2] 011011101000=>000101110110=>[4,2,1,1,2,1,2] 011011110000=>000011110110=>[5,1,1,1,2,1,2] 011100010110=>011010001110=>[2,1,2,4,1,1,2] 011100011001=>100110001110=>[1,3,1,4,1,1,2] 011100011100=>001110001110=>[3,1,1,4,1,1,2] 011100101001=>100101001110=>[1,3,2,3,1,1,2] 011100101010=>010101001110=>[2,2,2,3,1,1,2] 011100101100=>001101001110=>[3,1,2,3,1,1,2] 011100110001=>100011001110=>[1,4,1,3,1,1,2] 011100110100=>001011001110=>[3,2,1,3,1,1,2] 011101000101=>101000101110=>[1,2,4,2,1,1,2] 011101001001=>100100101110=>[1,3,3,2,1,1,2] 011101001100=>001100101110=>[3,1,3,2,1,1,2] 011101010001=>100010101110=>[1,4,2,2,1,1,2] 011101010100=>001010101110=>[3,2,2,2,1,1,2] 011101011000=>000110101110=>[4,1,2,2,1,1,2] 011101100001=>100001101110=>[1,5,1,2,1,1,2] 011101100100=>001001101110=>[3,3,1,2,1,1,2] 011101110000=>000011101110=>[5,1,1,2,1,1,2] 011110000101=>101000011110=>[1,2,5,1,1,1,2] 011110001001=>100100011110=>[1,3,4,1,1,1,2] 011110001010=>010100011110=>[2,2,4,1,1,1,2] 011110001100=>001100011110=>[3,1,4,1,1,1,2] 011110010001=>100010011110=>[1,4,3,1,1,1,2] 011110010100=>001010011110=>[3,2,3,1,1,1,2] 011110100001=>100001011110=>[1,5,2,1,1,1,2] 011110100010=>010001011110=>[2,4,2,1,1,1,2] 011110100100=>001001011110=>[3,3,2,1,1,1,2] 011110101000=>000101011110=>[4,2,2,1,1,1,2] 011110110000=>000011011110=>[5,1,2,1,1,1,2] 011111000001=>100000111110=>[1,6,1,1,1,1,2] 011111000100=>001000111110=>[3,4,1,1,1,1,2] 011111010000=>000010111110=>[5,2,1,1,1,1,2] 0100000100=>0010000010=>[3,6,2] 0011100110=>0110011100=>[2,1,3,1,1,3] 0011101010=>0101011100=>[2,2,2,1,1,3] 0011101100=>0011011100=>[3,1,2,1,1,3] 0001101110=>0111011000=>[2,1,1,2,1,4] 0010110110=>0110110100=>[2,1,2,1,2,3] 0011110010=>0100111100=>[2,3,1,1,1,3] 0001110110=>0110111000=>[2,1,2,1,1,4] 0100111010=>0101110010=>[2,2,1,1,3,2] 0010111010=>0101110100=>[2,2,1,1,2,3] 0011111000=>0001111100=>[4,1,1,1,1,3] 0001111010=>0101111000=>[2,2,1,1,1,4] 0100111100=>0011110010=>[3,1,1,1,3,2] 0001111100=>0011111000=>[3,1,1,1,1,4] 001111000110=>011000111100=>[2,1,4,1,1,1,3] 001111001010=>010100111100=>[2,2,3,1,1,1,3] 100111001100=>001100111001=>[3,1,3,1,1,3,1] 001111001100=>001100111100=>[3,1,3,1,1,1,3] 001011010110=>011010110100=>[2,1,2,2,1,2,3] 001111010010=>010010111100=>[2,3,2,1,1,1,3] 100111010100=>001010111001=>[3,2,2,1,1,3,1] 001111010100=>001010111100=>[3,2,2,1,1,1,3] 000111010110=>011010111000=>[2,1,2,2,1,1,4] 001011011010=>010110110100=>[2,2,1,2,1,2,3] 100111011000=>000110111001=>[4,1,2,1,1,3,1] 001111011000=>000110111100=>[4,1,2,1,1,1,3] 100011011100=>001110110001=>[3,1,1,2,1,4,1] 010011011100=>001110110010=>[3,1,1,2,1,3,2] 001011011100=>001110110100=>[3,1,1,2,1,2,3] 000111011100=>001110111000=>[3,1,1,2,1,1,4] 000011011110=>011110110000=>[2,1,1,1,2,1,5] 001101100110=>011001101100=>[2,1,3,1,2,1,3] 001101101010=>010101101100=>[2,2,2,1,2,1,3] 100101101100=>001101101001=>[3,1,2,1,2,3,1] 001101101100=>001101101100=>[3,1,2,1,2,1,3] 001011100110=>011001110100=>[2,1,3,1,1,2,3] 001111100010=>010001111100=>[2,4,1,1,1,1,3] 100111100100=>001001111001=>[3,3,1,1,1,3,1] 001111100100=>001001111100=>[3,3,1,1,1,1,3] 010011101010=>010101110010=>[2,2,2,1,1,3,2] 001011101010=>010101110100=>[2,2,2,1,1,2,3] 100111101000=>000101111001=>[4,2,1,1,1,3,1] 001111101000=>000101111100=>[4,2,1,1,1,1,3] 000111101010=>010101111000=>[2,2,2,1,1,1,4] 100011101100=>001101110001=>[3,1,2,1,1,4,1] 010011101100=>001101110010=>[3,1,2,1,1,3,2] 001011101100=>001101110100=>[3,1,2,1,1,2,3] 000111101100=>001101111000=>[3,1,2,1,1,1,4] 000011101110=>011101110000=>[2,1,1,2,1,1,5] 101001110100=>001011100101=>[3,2,1,1,3,2,1] 001001110110=>011011100100=>[2,1,2,1,1,3,3] 001101110010=>010011101100=>[2,3,1,1,2,1,3] 100101110100=>001011101001=>[3,2,1,1,2,3,1] 001101110100=>001011101100=>[3,2,1,1,2,1,3] 000101110110=>011011101000=>[2,1,2,1,1,2,4] 001011110010=>010011110100=>[2,3,1,1,1,2,3] 100111110000=>000011111001=>[5,1,1,1,1,3,1] 001111110000=>000011111100=>[5,1,1,1,1,1,3] 100011110100=>001011110001=>[3,2,1,1,1,4,1] 010011110100=>001011110010=>[3,2,1,1,1,3,2] 001011110100=>001011110100=>[3,2,1,1,1,2,3] 000111110100=>001011111000=>[3,2,1,1,1,1,4] 000011110110=>011011110000=>[2,1,2,1,1,1,5] 110001111000=>000111100011=>[4,1,1,1,4,1,1] 101001111000=>000111100101=>[4,1,1,1,3,2,1] 001001111010=>010111100100=>[2,2,1,1,1,3,3] 100101111000=>000111101001=>[4,1,1,1,2,3,1] 001101111000=>000111101100=>[4,1,1,1,2,1,3] 100011111000=>000111110001=>[4,1,1,1,1,4,1] 001011111000=>000111110100=>[4,1,1,1,1,2,3] 000011111010=>010111110000=>[2,2,1,1,1,1,5] 010001111100=>001111100010=>[3,1,1,1,1,4,2] 001001111100=>001111100100=>[3,1,1,1,1,3,3] 000101111100=>001111101000=>[3,1,1,1,1,2,4] 000011111100=>001111110000=>[3,1,1,1,1,1,5] 0000000101=>1010000000=>[1,2,8] 0000001101=>1011000000=>[1,2,1,7] 0000011101=>1011100000=>[1,2,1,1,6] 0001111101=>1011111000=>[1,2,1,1,1,1,4] 0011111101=>1011111100=>[1,2,1,1,1,1,1,3] 00000000101=>10100000000=>[1,2,9] 0000001001=>1001000000=>[1,3,7] 00000001101=>10110000000=>[1,2,1,8] 0000010101=>1010100000=>[1,2,2,6] 00000011101=>10111000000=>[1,2,1,1,7] 0000101101=>1011010000=>[1,2,1,2,5] 00000111101=>10111100000=>[1,2,1,1,1,6] 00001111101=>10111110000=>[1,2,1,1,1,1,5] 0010111101=>1011110100=>[1,2,1,1,1,2,3] 00011111101=>10111111000=>[1,2,1,1,1,1,1,4] 0101111101=>1011111010=>[1,2,1,1,1,1,2,2] 00111111101=>10111111100=>[1,2,1,1,1,1,1,1,3] 11111111101=>10111111111=>[1,2,1,1,1,1,1,1,1,1,1] 100101010101=>101010101001=>[1,2,2,2,2,3,1] 100101011001=>100110101001=>[1,3,1,2,2,3,1] 100101100101=>101001101001=>[1,2,3,1,2,3,1] 100101101001=>100101101001=>[1,3,2,1,2,3,1] 100101110001=>100011101001=>[1,4,1,1,2,3,1] 100110101001=>100101011001=>[1,3,2,2,1,3,1] 100111000101=>101000111001=>[1,2,4,1,1,3,1] 100111001001=>100100111001=>[1,3,3,1,1,3,1] 100111010001=>100010111001=>[1,4,2,1,1,3,1] 101001010101=>101010100101=>[1,2,2,2,3,2,1] 101001101001=>100101100101=>[1,3,2,1,3,2,1] 101010100101=>101001010101=>[1,2,3,2,2,2,1] 101010101001=>100101010101=>[1,3,2,2,2,2,1] 101010110001=>100011010101=>[1,4,1,2,2,2,1] 101011001001=>100100110101=>[1,3,3,1,2,2,1] 101011100001=>100001110101=>[1,5,1,1,2,2,1] 101100010101=>101010001101=>[1,2,2,4,1,2,1] 101101000101=>101000101101=>[1,2,4,2,1,2,1] 101101001001=>100100101101=>[1,3,3,2,1,2,1] 101101010001=>100010101101=>[1,4,2,2,1,2,1] 101110001001=>100100011101=>[1,3,4,1,1,2,1] 101110100001=>100001011101=>[1,5,2,1,1,2,1] 110001010101=>101010100011=>[1,2,2,2,4,1,1] 110001011001=>100110100011=>[1,3,1,2,4,1,1] 110001100101=>101001100011=>[1,2,3,1,4,1,1] 110001101001=>100101100011=>[1,3,2,1,4,1,1] 110001110001=>100011100011=>[1,4,1,1,4,1,1] 110010010101=>101010010011=>[1,2,2,3,3,1,1] 110010011001=>100110010011=>[1,3,1,3,3,1,1] 110010100101=>101001010011=>[1,2,3,2,3,1,1] 110010101001=>100101010011=>[1,3,2,2,3,1,1] 110010110001=>100011010011=>[1,4,1,2,3,1,1] 110011000101=>101000110011=>[1,2,4,1,3,1,1] 110011001001=>100100110011=>[1,3,3,1,3,1,1] 110011010001=>100010110011=>[1,4,2,1,3,1,1] 110011100001=>100001110011=>[1,5,1,1,3,1,1] 110100010101=>101010001011=>[1,2,2,4,2,1,1] 110100011001=>100110001011=>[1,3,1,4,2,1,1] 110100100101=>101001001011=>[1,2,3,3,2,1,1] 110100101001=>100101001011=>[1,3,2,3,2,1,1] 110100110001=>100011001011=>[1,4,1,3,2,1,1] 110101000101=>101000101011=>[1,2,4,2,2,1,1] 110101001001=>100100101011=>[1,3,3,2,2,1,1] 110101010001=>100010101011=>[1,4,2,2,2,1,1] 110101100001=>100001101011=>[1,5,1,2,2,1,1] 110110000101=>101000011011=>[1,2,5,1,2,1,1] 110110001001=>100100011011=>[1,3,4,1,2,1,1] 110110010001=>100010011011=>[1,4,3,1,2,1,1] 110110100001=>100001011011=>[1,5,2,1,2,1,1] 110111000001=>100000111011=>[1,6,1,1,2,1,1] 111000010101=>101010000111=>[1,2,2,5,1,1,1] 111000101001=>100101000111=>[1,3,2,4,1,1,1] 111001000101=>101000100111=>[1,2,4,3,1,1,1] 111001001001=>100100100111=>[1,3,3,3,1,1,1] 111001010001=>100010100111=>[1,4,2,3,1,1,1] 111010001001=>100100010111=>[1,3,4,2,1,1,1] 111010100001=>100001010111=>[1,5,2,2,1,1,1] 111100000101=>101000001111=>[1,2,6,1,1,1,1] 111100001001=>100100001111=>[1,3,5,1,1,1,1] 111100010001=>100010001111=>[1,4,4,1,1,1,1] 111100100001=>100001001111=>[1,5,3,1,1,1,1] 111101000001=>100000101111=>[1,6,2,1,1,1,1] 0111000011=>1100001110=>[1,1,5,1,1,2] 0011110001=>1000111100=>[1,4,1,1,1,3] 110101000011=>110000101011=>[1,1,5,2,2,1,1] 110100000111=>111000001011=>[1,1,1,6,2,1,1] 110011000011=>110000110011=>[1,1,5,1,3,1,1] 110110000011=>110000011011=>[1,1,6,1,2,1,1] 110000111100=>001111000011=>[3,1,1,1,5,1,1] 110000001111=>111100000011=>[1,1,1,1,7,1,1] 011100000111=>111000001110=>[1,1,1,6,1,1,2] 111001000011=>110000100111=>[1,1,5,3,1,1,1] 111010000011=>110000010111=>[1,1,6,2,1,1,1] 111000011100=>001110000111=>[3,1,1,5,1,1,1] 001111000011=>110000111100=>[1,1,5,1,1,1,3] 011110000011=>110000011110=>[1,1,6,1,1,1,2] 111100000011=>110000001111=>[1,1,7,1,1,1,1] 000111110001=>100011111000=>[1,4,1,1,1,1,4] 001111100001=>100001111100=>[1,5,1,1,1,1,3] 01111111011=>11011111110=>[1,1,2,1,1,1,1,1,1,2] 01111110101=>10101111110=>[1,2,2,1,1,1,1,1,2] 0011101101=>1011011100=>[1,2,1,2,1,1,3] 0011011001=>1001101100=>[1,3,1,2,1,3] 01110100001=>10000101110=>[1,5,2,1,1,2] 0010110001=>1000110100=>[1,4,1,2,3] 01101000001=>10000010110=>[1,6,2,1,2] 01010000001=>10000001010=>[1,7,2,2] 00100000001=>10000000100=>[1,8,3] 0111010011=>1100101110=>[1,1,3,2,1,1,2] 0011110011=>1100111100=>[1,1,3,1,1,1,3] 0111100011=>1100011110=>[1,1,4,1,1,1,2] 0011111001=>1001111100=>[1,3,1,1,1,1,3] 0000111111=>1111110000=>[1,1,1,1,1,1,5] 110101010101=>101010101011=>[1,2,2,2,2,2,1,1] 110101010011=>110010101011=>[1,1,3,2,2,2,1,1] 110101001101=>101100101011=>[1,2,1,3,2,2,1,1] 110101011001=>100110101011=>[1,3,1,2,2,2,1,1] 110101000111=>111000101011=>[1,1,1,4,2,2,1,1] 110100110101=>101011001011=>[1,2,2,1,3,2,1,1] 110100110011=>110011001011=>[1,1,3,1,3,2,1,1] 110101100101=>101001101011=>[1,2,3,1,2,2,1,1] 110101101001=>100101101011=>[1,3,2,1,2,2,1,1] 110101100011=>110001101011=>[1,1,4,1,2,2,1,1] 110100011101=>101110001011=>[1,2,1,1,4,2,1,1] 110100111001=>100111001011=>[1,3,1,1,3,2,1,1] 110101110001=>100011101011=>[1,4,1,1,2,2,1,1] 110100001111=>111100001011=>[1,1,1,1,5,2,1,1] 110011010101=>101010110011=>[1,2,2,2,1,3,1,1] 110011010011=>110010110011=>[1,1,3,2,1,3,1,1] 110011001101=>101100110011=>[1,2,1,3,1,3,1,1] 110011011001=>100110110011=>[1,3,1,2,1,3,1,1] 110011000111=>111000110011=>[1,1,1,4,1,3,1,1] 110110010101=>101010011011=>[1,2,2,3,1,2,1,1] 110110010011=>110010011011=>[1,1,3,3,1,2,1,1] 110110100101=>101001011011=>[1,2,3,2,1,2,1,1] 110110101001=>100101011011=>[1,3,2,2,1,2,1,1] 110110100011=>110001011011=>[1,1,4,2,1,2,1,1] 110110001101=>101100011011=>[1,2,1,4,1,2,1,1] 110110011001=>100110011011=>[1,3,1,3,1,2,1,1] 110110110001=>100011011011=>[1,4,1,2,1,2,1,1] 110001110101=>101011100011=>[1,2,2,1,1,4,1,1] 110001110011=>110011100011=>[1,1,3,1,1,4,1,1] 110011100101=>101001110011=>[1,2,3,1,1,3,1,1] 110011101001=>100101110011=>[1,3,2,1,1,3,1,1] 110011100011=>110001110011=>[1,1,4,1,1,3,1,1] 110111000101=>101000111011=>[1,2,4,1,1,2,1,1] 110111001001=>100100111011=>[1,3,3,1,1,2,1,1] 110111010001=>100010111011=>[1,4,2,1,1,2,1,1] 110111000011=>110000111011=>[1,1,5,1,1,2,1,1] 110000111101=>101111000011=>[1,2,1,1,1,5,1,1] 110011110001=>100011110011=>[1,4,1,1,1,3,1,1] 110111100001=>100001111011=>[1,5,1,1,1,2,1,1] 110000011111=>111110000011=>[1,1,1,1,1,6,1,1] 111001010101=>101010100111=>[1,2,2,2,3,1,1,1] 111001010011=>110010100111=>[1,1,3,2,3,1,1,1] 111001001101=>101100100111=>[1,2,1,3,3,1,1,1] 111001011001=>100110100111=>[1,3,1,2,3,1,1,1] 111010010101=>101010010111=>[1,2,2,3,2,1,1,1] 111010010011=>110010010111=>[1,1,3,3,2,1,1,1] 111010100101=>101001010111=>[1,2,3,2,2,1,1,1] 111010101001=>100101010111=>[1,3,2,2,2,1,1,1] 111010100011=>110001010111=>[1,1,4,2,2,1,1,1] 111010001101=>101100010111=>[1,2,1,4,2,1,1,1] 111010011001=>100110010111=>[1,3,1,3,2,1,1,1] 111010110001=>100011010111=>[1,4,1,2,2,1,1,1] 111000110101=>101011000111=>[1,2,2,1,4,1,1,1] 111000110011=>110011000111=>[1,1,3,1,4,1,1,1] 111001100101=>101001100111=>[1,2,3,1,3,1,1,1] 111001101001=>100101100111=>[1,3,2,1,3,1,1,1] 111001100011=>110001100111=>[1,1,4,1,3,1,1,1] 111011000101=>101000110111=>[1,2,4,1,2,1,1,1] 111011001001=>100100110111=>[1,3,3,1,2,1,1,1] 111011010001=>100010110111=>[1,4,2,1,2,1,1,1] 111011000011=>110000110111=>[1,1,5,1,2,1,1,1] 111000111001=>100111000111=>[1,3,1,1,4,1,1,1] 111001110001=>100011100111=>[1,4,1,1,3,1,1,1] 111011100001=>100001110111=>[1,5,1,1,2,1,1,1] 111000001111=>111100000111=>[1,1,1,1,6,1,1,1] 111100010101=>101010001111=>[1,2,2,4,1,1,1,1] 111100010011=>110010001111=>[1,1,3,4,1,1,1,1] 111100100101=>101001001111=>[1,2,3,3,1,1,1,1] 111100101001=>100101001111=>[1,3,2,3,1,1,1,1] 111100100011=>110001001111=>[1,1,4,3,1,1,1,1] 111101000101=>101000101111=>[1,2,4,2,1,1,1,1] 111101001001=>100100101111=>[1,3,3,2,1,1,1,1] 111101010001=>100010101111=>[1,4,2,2,1,1,1,1] 111101000011=>110000101111=>[1,1,5,2,1,1,1,1] 111100001101=>101100001111=>[1,2,1,5,1,1,1,1] 111100011001=>100110001111=>[1,3,1,4,1,1,1,1] 111100110001=>100011001111=>[1,4,1,3,1,1,1,1] 111101100001=>100001101111=>[1,5,1,2,1,1,1,1] 111100000111=>111000001111=>[1,1,1,6,1,1,1,1] 111110000101=>101000011111=>[1,2,5,1,1,1,1,1] 111110001001=>100100011111=>[1,3,4,1,1,1,1,1] 111110010001=>100010011111=>[1,4,3,1,1,1,1,1] 111110100001=>100001011111=>[1,5,2,1,1,1,1,1] 111110000011=>110000011111=>[1,1,6,1,1,1,1,1] 111111000001=>100000111111=>[1,6,1,1,1,1,1,1] 11111000010=>01000011111=>[2,5,1,1,1,1,1] 11111110010=>01001111111=>[2,3,1,1,1,1,1,1,1] 0001110100=>0010111000=>[3,2,1,1,4] 0001101100=>0011011000=>[3,1,2,1,4] 0010011100=>0011100100=>[3,1,1,3,3] 0001011100=>0011101000=>[3,1,1,2,4] 0000111100=>0011110000=>[3,1,1,1,5] 0001101010=>0101011000=>[2,2,2,1,4] 0010011010=>0101100100=>[2,2,1,3,3] 0000111010=>0101110000=>[2,2,1,1,5] 0101000110=>0110001010=>[2,1,4,2,2] 0011000110=>0110001100=>[2,1,4,1,3] 0010100110=>0110010100=>[2,1,3,2,3] 0100010110=>0110100010=>[2,1,2,4,2] 0010010110=>0110100100=>[2,1,2,3,3] 0001010110=>0110101000=>[2,1,2,2,4] 0000110110=>0110110000=>[2,1,2,1,5] 0010001110=>0111000100=>[2,1,1,4,3] 000111010100=>001010111000=>[3,2,2,1,1,4] 001001110100=>001011100100=>[3,2,1,1,3,3] 000101110100=>001011101000=>[3,2,1,1,2,4] 000011110100=>001011110000=>[3,2,1,1,1,5] 000111001100=>001100111000=>[3,1,3,1,1,4] 010001101100=>001101100010=>[3,1,2,1,4,2] 001001101100=>001101100100=>[3,1,2,1,3,3] 000101101100=>001101101000=>[3,1,2,1,2,4] 000011101100=>001101110000=>[3,1,2,1,1,5] 010010011100=>001110010010=>[3,1,1,3,3,2] 001010011100=>001110010100=>[3,1,1,3,2,3] 000110011100=>001110011000=>[3,1,1,3,1,4] 010001011100=>001110100010=>[3,1,1,2,4,2] 001001011100=>001110100100=>[3,1,1,2,3,3] 000101011100=>001110101000=>[3,1,1,2,2,4] 000011011100=>001110110000=>[3,1,1,2,1,5] 001000111100=>001111000100=>[3,1,1,1,4,3] 000100111100=>001111001000=>[3,1,1,1,3,4] 000010111100=>001111010000=>[3,1,1,1,2,5] 000001111100=>001111100000=>[3,1,1,1,1,6] 000111010010=>010010111000=>[2,3,2,1,1,4] 000111001010=>010100111000=>[2,2,3,1,1,4] 000110101010=>010101011000=>[2,2,2,2,1,4] 001001101010=>010101100100=>[2,2,2,1,3,3] 000101101010=>010101101000=>[2,2,2,1,2,4] 000011101010=>010101110000=>[2,2,2,1,1,5] 010100011010=>010110001010=>[2,2,1,4,2,2] 010010011010=>010110010010=>[2,2,1,3,3,2] 001010011010=>010110010100=>[2,2,1,3,2,3] 000110011010=>010110011000=>[2,2,1,3,1,4] 010001011010=>010110100010=>[2,2,1,2,4,2] 001001011010=>010110100100=>[2,2,1,2,3,3] 000101011010=>010110101000=>[2,2,1,2,2,4] 000011011010=>010110110000=>[2,2,1,2,1,5] 001000111010=>010111000100=>[2,2,1,1,4,3] 000100111010=>010111001000=>[2,2,1,1,3,4] 000010111010=>010111010000=>[2,2,1,1,2,5] 000001111010=>010111100000=>[2,2,1,1,1,6] 010101000110=>011000101010=>[2,1,4,2,2,2] 001101000110=>011000101100=>[2,1,4,2,1,3] 010011000110=>011000110010=>[2,1,4,1,3,2] 001011000110=>011000110100=>[2,1,4,1,2,3] 000111000110=>011000111000=>[2,1,4,1,1,4] 010010100110=>011001010010=>[2,1,3,2,3,2] 001010100110=>011001010100=>[2,1,3,2,2,3] 000110100110=>011001011000=>[2,1,3,2,1,4] 001001100110=>011001100100=>[2,1,3,1,3,3] 000101100110=>011001101000=>[2,1,3,1,2,4] 000011100110=>011001110000=>[2,1,3,1,1,5] 010100010110=>011010001010=>[2,1,2,4,2,2] 010010010110=>011010010010=>[2,1,2,3,3,2] 001010010110=>011010010100=>[2,1,2,3,2,3] 000110010110=>011010011000=>[2,1,2,3,1,4] 001001010110=>011010100100=>[2,1,2,2,3,3] 000101010110=>011010101000=>[2,1,2,2,2,4] 000011010110=>011010110000=>[2,1,2,2,1,5] 001000110110=>011011000100=>[2,1,2,1,4,3] 000100110110=>011011001000=>[2,1,2,1,3,4] 000010110110=>011011010000=>[2,1,2,1,2,5] 000001110110=>011011100000=>[2,1,2,1,1,6] 010100001110=>011100001010=>[2,1,1,5,2,2] 010010001110=>011100010010=>[2,1,1,4,3,2] 001010001110=>011100010100=>[2,1,1,4,2,3] 000110001110=>011100011000=>[2,1,1,4,1,4] 010001001110=>011100100010=>[2,1,1,3,4,2] 001001001110=>011100100100=>[2,1,1,3,3,3] 000101001110=>011100101000=>[2,1,1,3,2,4] 000011001110=>011100110000=>[2,1,1,3,1,5] 001000101110=>011101000100=>[2,1,1,2,4,3] 000100101110=>011101001000=>[2,1,1,2,3,4] 000010101110=>011101010000=>[2,1,1,2,2,5] 000001101110=>011101100000=>[2,1,1,2,1,6] 010000011110=>011110000010=>[2,1,1,1,6,2] 001000011110=>011110000100=>[2,1,1,1,5,3] 000100011110=>011110001000=>[2,1,1,1,4,4] 000010011110=>011110010000=>[2,1,1,1,3,5] 000001011110=>011110100000=>[2,1,1,1,2,6] 000000111110=>011111000000=>[2,1,1,1,1,7] 10111111101=>10111111101=>[1,2,1,1,1,1,1,1,2,1] 01011111101=>10111111010=>[1,2,1,1,1,1,1,2,2] 00101111101=>10111110100=>[1,2,1,1,1,1,2,3] 0110111001=>1001110110=>[1,3,1,1,2,1,2] 00010111101=>10111101000=>[1,2,1,1,1,2,4] 00001011101=>10111010000=>[1,2,1,1,2,5] 0001101001=>1001011000=>[1,3,2,1,4] 00000101101=>10110100000=>[1,2,1,2,6] 0000110001=>1000110000=>[1,4,1,5] 00000010101=>10101000000=>[1,2,2,7] 0000010001=>1000100000=>[1,4,6] 00000001001=>10010000000=>[1,3,8] 10000000001=>10000000001=>[1,10,1] 11000000001=>10000000011=>[1,9,1,1] 11100000001=>10000000111=>[1,8,1,1,1] 11110000001=>10000001111=>[1,7,1,1,1,1] 11111000001=>10000011111=>[1,6,1,1,1,1,1] 11111100001=>10000111111=>[1,5,1,1,1,1,1,1] 11111110001=>10001111111=>[1,4,1,1,1,1,1,1,1] 11111111001=>10011111111=>[1,3,1,1,1,1,1,1,1,1] 11111111111=>11111111111=>[1,1,1,1,1,1,1,1,1,1,1,1] 0100011001=>1001100010=>[1,3,1,4,2] 0100110001=>1000110010=>[1,4,1,3,2] 0110011011=>1101100110=>[1,1,2,1,3,1,2] 0100111011=>1101110010=>[1,1,2,1,1,3,2] 0110010011=>1100100110=>[1,1,3,3,1,2] 0110110011=>1100110110=>[1,1,3,1,2,1,2] 0100100011=>1100010010=>[1,1,4,3,2] 0101000011=>1100001010=>[1,1,5,2,2] 0100110111=>1110110010=>[1,1,1,2,1,3,2] 0110100111=>1110010110=>[1,1,1,3,2,1,2] 0101001111=>1111001010=>[1,1,1,1,3,2,2] 101110011001=>100110011101=>[1,3,1,3,1,1,2,1] 101110111001=>100111011101=>[1,3,1,1,2,1,1,2,1] 100100111001=>100111001001=>[1,3,1,1,3,3,1] 101100111001=>100111001101=>[1,3,1,1,3,1,2,1] 101000111001=>100111000101=>[1,3,1,1,4,2,1] 101011111001=>100111110101=>[1,3,1,1,1,1,2,2,1] 101110110001=>100011011101=>[1,4,1,2,1,1,2,1] 101101110001=>100011101101=>[1,4,1,1,2,1,2,1] 101011110001=>100011110101=>[1,4,1,1,1,2,2,1] 101010000001=>100000010101=>[1,7,2,2,1] 100110011011=>110110011001=>[1,1,2,1,3,1,3,1] 100100011011=>110110001001=>[1,1,2,1,4,3,1] 101100011011=>110110001101=>[1,1,2,1,4,1,2,1] 101000011011=>110110000101=>[1,1,2,1,5,2,1] 100100111011=>110111001001=>[1,1,2,1,1,3,3,1] 101000111011=>110111000101=>[1,1,2,1,1,4,2,1] 100110010011=>110010011001=>[1,1,3,3,1,3,1] 101110010011=>110010011101=>[1,1,3,3,1,1,2,1] 101100010011=>110010001101=>[1,1,3,4,1,2,1] 100110110011=>110011011001=>[1,1,3,1,2,1,3,1] 100100110011=>110011001001=>[1,1,3,1,3,3,1] 101100110011=>110011001101=>[1,1,3,1,3,1,2,1] 101000110011=>110011000101=>[1,1,3,1,4,2,1] 100101110011=>110011101001=>[1,1,3,1,1,2,3,1] 101001110011=>110011100101=>[1,1,3,1,1,3,2,1] 100110100011=>110001011001=>[1,1,4,2,1,3,1] 101110100011=>110001011101=>[1,1,4,2,1,1,2,1] 101100100011=>110001001101=>[1,1,4,3,1,2,1] 100101100011=>110001101001=>[1,1,4,1,2,3,1] 101101100011=>110001101101=>[1,1,4,1,2,1,2,1] 101001100011=>110001100101=>[1,1,4,1,3,2,1] 101011100011=>110001110101=>[1,1,4,1,1,2,2,1] 101101000011=>110000101101=>[1,1,5,2,1,2,1] 101011000011=>110000110101=>[1,1,5,1,2,2,1] 100110010111=>111010011001=>[1,1,1,2,3,1,3,1] 100100010111=>111010001001=>[1,1,1,2,4,3,1] 101100010111=>111010001101=>[1,1,1,2,4,1,2,1] 100100110111=>111011001001=>[1,1,1,2,1,3,3,1] 101000110111=>111011000101=>[1,1,1,2,1,4,2,1] 100110100111=>111001011001=>[1,1,1,3,2,1,3,1] 100100100111=>111001001001=>[1,1,1,3,3,3,1] 101100100111=>111001001101=>[1,1,1,3,3,1,2,1] 101000100111=>111001000101=>[1,1,1,3,4,2,1] 100101100111=>111001101001=>[1,1,1,3,1,2,3,1] 101001100111=>111001100101=>[1,1,1,3,1,3,2,1] 100101000111=>111000101001=>[1,1,1,4,2,3,1] 101101000111=>111000101101=>[1,1,1,4,2,1,2,1] 101011000111=>111000110101=>[1,1,1,4,1,2,2,1] 101010000111=>111000010101=>[1,1,1,5,2,2,1] 100100101111=>111101001001=>[1,1,1,1,2,3,3,1] 101000101111=>111101000101=>[1,1,1,1,2,4,2,1] 100101101111=>111101101001=>[1,1,1,1,2,1,2,3,1] 100101001111=>111100101001=>[1,1,1,1,3,2,3,1] 101101001111=>111100101101=>[1,1,1,1,3,2,1,2,1] 101001001111=>111100100101=>[1,1,1,1,3,3,2,1] 101010001111=>111100010101=>[1,1,1,1,4,2,2,1] 100110101010=>010101011001=>[2,2,2,2,1,3,1] 100101101010=>010101101001=>[2,2,2,1,2,3,1] 101010011010=>010110010101=>[2,2,1,3,2,2,1] 100110011010=>010110011001=>[2,2,1,3,1,3,1] 101001011010=>010110100101=>[2,2,1,2,3,2,1] 100101011010=>010110101001=>[2,2,1,2,2,3,1] 101000111010=>010111000101=>[2,2,1,1,4,2,1] 101010100110=>011001010101=>[2,1,3,2,2,2,1] 100110100110=>011001011001=>[2,1,3,2,1,3,1] 101001100110=>011001100101=>[2,1,3,1,3,2,1] 100101100110=>011001101001=>[2,1,3,1,2,3,1] 101010010110=>011010010101=>[2,1,2,3,2,2,1] 100110010110=>011010011001=>[2,1,2,3,1,3,1] 101001010110=>011010100101=>[2,1,2,2,3,2,1] 101010001110=>011100010101=>[2,1,1,4,2,2,1] 100011101001=>100101110001=>[1,3,2,1,1,4,1] 100010111001=>100111010001=>[1,3,1,1,2,4,1] 100011010101=>101010110001=>[1,2,2,2,1,4,1] 100100110101=>101011001001=>[1,2,2,1,3,3,1] 100001110101=>101011100001=>[1,2,2,1,1,5,1] 101010001101=>101100010101=>[1,2,1,4,2,2,1] 100101001101=>101100101001=>[1,2,1,3,2,3,1] 101000101101=>101101000101=>[1,2,1,2,4,2,1] 100100101101=>101101001001=>[1,2,1,2,3,3,1] 100010101101=>101101010001=>[1,2,1,2,2,4,1] 100100011101=>101110001001=>[1,2,1,1,4,3,1] 100001011101=>101110100001=>[1,2,1,1,2,5,1] 100011100011=>110001110001=>[1,1,4,1,1,4,1] 101010010011=>110010010101=>[1,1,3,3,2,2,1] 101001010011=>110010100101=>[1,1,3,2,3,2,1] 100101010011=>110010101001=>[1,1,3,2,2,3,1] 100011010011=>110010110001=>[1,1,3,2,1,4,1] 100010110011=>110011010001=>[1,1,3,1,2,4,1] 100001110011=>110011100001=>[1,1,3,1,1,5,1] 101010001011=>110100010101=>[1,1,2,4,2,2,1] 100110001011=>110100011001=>[1,1,2,4,1,3,1] 101001001011=>110100100101=>[1,1,2,3,3,2,1] 100101001011=>110100101001=>[1,1,2,3,2,3,1] 100011001011=>110100110001=>[1,1,2,3,1,4,1] 101000101011=>110101000101=>[1,1,2,2,4,2,1] 100100101011=>110101001001=>[1,1,2,2,3,3,1] 100010101011=>110101010001=>[1,1,2,2,2,4,1] 100001101011=>110101100001=>[1,1,2,2,1,5,1] 100010011011=>110110010001=>[1,1,2,1,3,4,1] 100001011011=>110110100001=>[1,1,2,1,2,5,1] 100000111011=>110111000001=>[1,1,2,1,1,6,1] 100010100111=>111001010001=>[1,1,1,3,2,4,1] 100001010111=>111010100001=>[1,1,1,2,2,5,1] 101000001111=>111100000101=>[1,1,1,1,6,2,1] 100100001111=>111100001001=>[1,1,1,1,5,3,1] 100010001111=>111100010001=>[1,1,1,1,4,4,1] 100001001111=>111100100001=>[1,1,1,1,3,5,1] 100000101111=>111101000001=>[1,1,1,1,2,6,1] 01010101101=>10110101010=>[1,2,1,2,2,2,2] 01010110110=>01101101010=>[2,1,2,1,2,2,2] 01010110101=>10101101010=>[1,2,2,1,2,2,2] 01010111011=>11011101010=>[1,1,2,1,1,2,2,2] 01011011010=>01011011010=>[2,2,1,2,1,2,2] 01011011101=>10111011010=>[1,2,1,1,2,1,2,2] 01011010110=>01101011010=>[2,1,2,2,1,2,2] 01011010101=>10101011010=>[1,2,2,2,1,2,2] 01011011011=>11011011010=>[1,1,2,1,2,1,2,2] 01011101110=>01110111010=>[2,1,1,2,1,1,2,2] 01011101101=>10110111010=>[1,2,1,2,1,1,2,2] 01011101011=>11010111010=>[1,1,2,2,1,1,2,2] 01011110111=>11101111010=>[1,1,1,2,1,1,1,2,2] 01101101010=>01010110110=>[2,2,2,1,2,1,2] 01101101101=>10110110110=>[1,2,1,2,1,2,1,2] 01101110110=>01101110110=>[2,1,2,1,1,2,1,2] 01101110101=>10101110110=>[1,2,2,1,1,2,1,2] 01101111011=>11011110110=>[1,1,2,1,1,1,2,1,2] 01101011010=>01011010110=>[2,2,1,2,2,1,2] 01101011101=>10111010110=>[1,2,1,1,2,2,1,2] 01101010110=>01101010110=>[2,1,2,2,2,1,2] 01101010101=>10101010110=>[1,2,2,2,2,1,2] 01101011011=>11011010110=>[1,1,2,1,2,2,1,2] 01101101110=>01110110110=>[2,1,1,2,1,2,1,2] 01101101011=>11010110110=>[1,1,2,2,1,2,1,2] 01101110111=>11101110110=>[1,1,1,2,1,1,2,1,2] 01110111010=>01011101110=>[2,2,1,1,2,1,1,2] 01110111101=>10111101110=>[1,2,1,1,1,2,1,1,2] 01110110110=>01101101110=>[2,1,2,1,2,1,1,2] 01110110101=>10101101110=>[1,2,2,1,2,1,1,2] 01110111011=>11011101110=>[1,1,2,1,1,2,1,1,2] 01110101110=>01110101110=>[2,1,1,2,2,1,1,2] 01110101101=>10110101110=>[1,2,1,2,2,1,1,2] 01110101011=>11010101110=>[1,1,2,2,2,1,1,2] 01110110111=>11101101110=>[1,1,1,2,1,2,1,1,2] 01111011110=>01111011110=>[2,1,1,1,2,1,1,1,2] 01111011101=>10111011110=>[1,2,1,1,2,1,1,1,2] 01111011011=>11011011110=>[1,1,2,1,2,1,1,1,2] 01111010111=>11101011110=>[1,1,1,2,2,1,1,1,2] 01111101111=>11110111110=>[1,1,1,1,2,1,1,1,1,2] 10110101010=>01010101101=>[2,2,2,2,1,2,1] 10110101101=>10110101101=>[1,2,1,2,2,1,2,1] 10110110101=>10101101101=>[1,2,2,1,2,1,2,1] 10110111011=>11011101101=>[1,1,2,1,1,2,1,2,1] 10111011010=>01011011101=>[2,2,1,2,1,1,2,1] 10111011101=>10111011101=>[1,2,1,1,2,1,1,2,1] 10111010101=>10101011101=>[1,2,2,2,1,1,2,1] 10111011011=>11011011101=>[1,1,2,1,2,1,1,2,1] 10111101101=>10110111101=>[1,2,1,2,1,1,1,2,1] 10111101011=>11010111101=>[1,1,2,2,1,1,1,2,1] 10111110111=>11101111101=>[1,1,1,2,1,1,1,1,2,1] 10101101010=>01010110101=>[2,2,2,1,2,2,1] 10101101101=>10110110101=>[1,2,1,2,1,2,2,1] 10101110101=>10101110101=>[1,2,2,1,1,2,2,1] 10101111011=>11011110101=>[1,1,2,1,1,1,2,2,1] 10101011101=>10111010101=>[1,2,1,1,2,2,2,1] 10101011011=>11011010101=>[1,1,2,1,2,2,2,1] 10101101011=>11010110101=>[1,1,2,2,1,2,2,1] 10101110111=>11101110101=>[1,1,1,2,1,1,2,2,1] 10110111101=>10111101101=>[1,2,1,1,1,2,1,2,1] 10110101011=>11010101101=>[1,1,2,2,2,1,2,1] 10110110111=>11101101101=>[1,1,1,2,1,2,1,2,1] 10111010111=>11101011101=>[1,1,1,2,2,1,1,2,1] 10111101111=>11110111101=>[1,1,1,1,2,1,1,1,2,1] 11011101010=>01010111011=>[2,2,2,1,1,2,1,1] 11011101101=>10110111011=>[1,2,1,2,1,1,2,1,1] 11011110101=>10101111011=>[1,2,2,1,1,1,2,1,1] 11011111011=>11011111011=>[1,1,2,1,1,1,1,2,1,1] 11011011010=>01011011011=>[2,2,1,2,1,2,1,1] 11011011101=>10111011011=>[1,2,1,1,2,1,2,1,1] 11011010110=>01101011011=>[2,1,2,2,1,2,1,1] 11011010101=>10101011011=>[1,2,2,2,1,2,1,1] 11011011011=>11011011011=>[1,1,2,1,2,1,2,1,1] 11011101011=>11010111011=>[1,1,2,2,1,1,2,1,1] 11011110111=>11101111011=>[1,1,1,2,1,1,1,2,1,1] 11010111010=>01011101011=>[2,2,1,1,2,2,1,1] 11010111101=>10111101011=>[1,2,1,1,1,2,2,1,1] 11010110101=>10101101011=>[1,2,2,1,2,2,1,1] 11010111011=>11011101011=>[1,1,2,1,1,2,2,1,1] 11010101101=>10110101011=>[1,2,1,2,2,2,1,1] 11010101011=>11010101011=>[1,1,2,2,2,2,1,1] 11010110111=>11101101011=>[1,1,1,2,1,2,2,1,1] 11011010111=>11101011011=>[1,1,1,2,2,1,2,1,1] 11011101111=>11110111011=>[1,1,1,1,2,1,1,2,1,1] 11101111010=>01011110111=>[2,2,1,1,1,2,1,1,1] 11101111101=>10111110111=>[1,2,1,1,1,1,2,1,1,1] 11101110101=>10101110111=>[1,2,2,1,1,2,1,1,1] 11101111011=>11011110111=>[1,1,2,1,1,1,2,1,1,1] 11101101101=>10110110111=>[1,2,1,2,1,2,1,1,1] 11101101011=>11010110111=>[1,1,2,2,1,2,1,1,1] 11101110111=>11101110111=>[1,1,1,2,1,1,2,1,1,1] 11101011101=>10111010111=>[1,2,1,1,2,2,1,1,1] 11101011011=>11011010111=>[1,1,2,1,2,2,1,1,1] 11101010111=>11101010111=>[1,1,1,2,2,2,1,1,1] 11101101111=>11110110111=>[1,1,1,1,2,1,2,1,1,1] 11110111101=>10111101111=>[1,2,1,1,1,2,1,1,1,1] 11110111011=>11011101111=>[1,1,2,1,1,2,1,1,1,1] 11110110111=>11101101111=>[1,1,1,2,1,2,1,1,1,1] 11110101111=>11110101111=>[1,1,1,1,2,2,1,1,1,1] 11111011111=>11111011111=>[1,1,1,1,1,2,1,1,1,1,1] 01000000111111=>11111100000010=>[1,1,1,1,1,1,7,2] 01000001011111=>11111010000010=>[1,1,1,1,1,2,6,2] 01000001101111=>11110110000010=>[1,1,1,1,2,1,6,2] 01000001110111=>11101110000010=>[1,1,1,2,1,1,6,2] 01000100011111=>11111000100010=>[1,1,1,1,1,4,4,2] 01000001111011=>11011110000010=>[1,1,2,1,1,1,6,2] 01000100101111=>11110100100010=>[1,1,1,1,2,3,4,2] 00110000011111=>11111000001100=>[1,1,1,1,1,6,1,3] 01001000011111=>11111000010010=>[1,1,1,1,1,5,3,2] 0100001000111111=>1111110001000010=>[1,1,1,1,1,1,4,5,2] 0000001100=>0011000000=>[3,1,7] 0000110011=>1100110000=>[1,1,3,1,5] 0011001111=>1111001100=>[1,1,1,1,3,1,3] 0000000011=>1100000000=>[1,1,9] 0000011011=>1101100000=>[1,1,2,1,6] 0001101111=>1111011000=>[1,1,1,1,2,1,4] 00000000011=>11000000000=>[1,1,10] 0000110101=>1010110000=>[1,2,2,1,5] 0011010111=>1110101100=>[1,1,1,2,2,1,3] 01101111111=>11111110110=>[1,1,1,1,1,1,1,2,1,2] 10001010101=>10101010001=>[1,2,2,2,4,1] 110010101010101010=>010101010101010011=>[2,2,2,2,2,2,2,3,1,1] 110100101010101010=>010101010101001011=>[2,2,2,2,2,2,3,2,1,1] 110101001010101010=>010101010100101011=>[2,2,2,2,2,3,2,2,1,1] 110101010010101010=>010101010010101011=>[2,2,2,2,3,2,2,2,1,1] 110101010100101010=>010101001010101011=>[2,2,2,3,2,2,2,2,1,1] 110101010101001010=>010100101010101011=>[2,2,3,2,2,2,2,2,1,1] 110101010101010010=>010010101010101011=>[2,3,2,2,2,2,2,2,1,1] 11001010101010101010=>01010101010101010011=>[2,2,2,2,2,2,2,2,3,1,1] 111000101010101010=>010101010101000111=>[2,2,2,2,2,2,4,1,1,1] 11010010101010101010=>01010101010101001011=>[2,2,2,2,2,2,2,3,2,1,1] 110110001010101010=>010101010100011011=>[2,2,2,2,2,4,1,2,1,1] 11010100101010101010=>01010101010100101011=>[2,2,2,2,2,2,3,2,2,1,1] 110101100010101010=>010101010001101011=>[2,2,2,2,4,1,2,2,1,1] 11010101001010101010=>01010101010010101011=>[2,2,2,2,2,3,2,2,2,1,1] 110101011000101010=>010101000110101011=>[2,2,2,4,1,2,2,2,1,1] 11010101010010101010=>01010101001010101011=>[2,2,2,2,3,2,2,2,2,1,1] 110101010110001010=>010100011010101011=>[2,2,4,1,2,2,2,2,1,1] 11010101010100101010=>01010100101010101011=>[2,2,2,3,2,2,2,2,2,1,1] 110101010101100010=>010001101010101011=>[2,4,1,2,2,2,2,2,1,1] 11010101010101001010=>01010010101010101011=>[2,2,3,2,2,2,2,2,2,1,1] 110101010101011000=>000110101010101011=>[4,1,2,2,2,2,2,2,1,1] 11010101010101010010=>01001010101010101011=>[2,3,2,2,2,2,2,2,2,1,1] 0010000010=>0100000100=>[2,6,3] 0001000011=>1100001000=>[1,1,5,4] 0111001011=>1101001110=>[1,1,2,3,1,1,2] 0111100111=>1110011110=>[1,1,1,3,1,1,1,2] 0111110111=>1110111110=>[1,1,1,2,1,1,1,1,2] 11000000000=>00000000011=>[10,1,1] 0110001011=>1101000110=>[1,1,2,4,1,2] 0110000111=>1110000110=>[1,1,1,5,1,2] 110000111001=>100111000011=>[1,3,1,1,5,1,1] 110000110101=>101011000011=>[1,2,2,1,5,1,1] 110010001101=>101100010011=>[1,2,1,4,3,1,1] 110100001101=>101100001011=>[1,2,1,5,2,1,1] 110000101101=>101101000011=>[1,2,1,2,5,1,1] 110000011101=>101110000011=>[1,2,1,1,6,1,1] 011100100011=>110001001110=>[1,1,4,3,1,1,2] 011010010011=>110010010110=>[1,1,3,3,2,1,2] 011100010011=>110010001110=>[1,1,3,4,1,1,2] 011000110011=>110011000110=>[1,1,3,1,4,1,2] 010110001011=>110100011010=>[1,1,2,4,1,2,2] 011010001011=>110100010110=>[1,1,2,4,2,1,2] 011100001011=>110100001110=>[1,1,2,5,1,1,2] 011000101011=>110101000110=>[1,1,2,2,4,1,2] 011000011011=>110110000110=>[1,1,2,1,5,1,2] 101110000011=>110000011101=>[1,1,6,1,1,2,1] 110100100011=>110001001011=>[1,1,4,3,2,1,1] 111000100011=>110001000111=>[1,1,4,4,1,1,1] 110010010011=>110010010011=>[1,1,3,3,3,1,1] 110100010011=>110010001011=>[1,1,3,4,2,1,1] 111000010011=>110010000111=>[1,1,3,5,1,1,1] 110000110011=>110011000011=>[1,1,3,1,5,1,1] 101100001011=>110100001101=>[1,1,2,5,1,2,1] 110010001011=>110100010011=>[1,1,2,4,3,1,1] 110100001011=>110100001011=>[1,1,2,5,2,1,1] 111000001011=>110100000111=>[1,1,2,6,1,1,1] 110000101011=>110101000011=>[1,1,2,2,5,1,1] 110000011011=>110110000011=>[1,1,2,1,6,1,1] 001110000111=>111000011100=>[1,1,1,5,1,1,3] 010110000111=>111000011010=>[1,1,1,5,1,2,2] 011010000111=>111000010110=>[1,1,1,5,2,1,2] 011000100111=>111001000110=>[1,1,1,3,4,1,2] 011000010111=>111010000110=>[1,1,1,2,5,1,2] 110010000111=>111000010011=>[1,1,1,5,3,1,1] 110000100111=>111001000011=>[1,1,1,3,5,1,1] 110000010111=>111010000011=>[1,1,1,2,6,1,1] 011000001111=>111100000110=>[1,1,1,1,6,1,2] 00101000101111=>11110100010100=>[1,1,1,1,2,4,2,3] 0011011010=>0101101100=>[2,2,1,2,1,3] 0011010110=>0110101100=>[2,1,2,2,1,3] 0100110110=>0110110010=>[2,1,2,1,3,2] 0110001110=>0111000110=>[2,1,1,4,1,2] 0101001110=>0111001010=>[2,1,1,3,2,2] 0011001110=>0111001100=>[2,1,1,3,1,3] 0100101110=>0111010010=>[2,1,1,2,3,2] 0100011110=>0111100010=>[2,1,1,1,4,2] 0010011110=>0111100100=>[2,1,1,1,3,3] 001110101010=>010101011100=>[2,2,2,2,1,1,3] 001110011010=>010110011100=>[2,2,1,3,1,1,3] 001101011010=>010110101100=>[2,2,1,2,2,1,3] 011000111010=>010111000110=>[2,2,1,1,4,1,2] 001100111010=>010111001100=>[2,2,1,1,3,1,3] 010010111010=>010111010010=>[2,2,1,1,2,3,2] 001010111010=>010111010100=>[2,2,1,1,2,2,3] 000110111010=>010111011000=>[2,2,1,1,2,1,4] 001110100110=>011001011100=>[2,1,3,2,1,1,3] 001110010110=>011010011100=>[2,1,2,3,1,1,3] 001101010110=>011010101100=>[2,1,2,2,2,1,3] 010011010110=>011010110010=>[2,1,2,2,1,3,2] 011000110110=>011011000110=>[2,1,2,1,4,1,2] 010100110110=>011011001010=>[2,1,2,1,3,2,2] 001100110110=>011011001100=>[2,1,2,1,3,1,3] 010010110110=>011011010010=>[2,1,2,1,2,3,2] 001010110110=>011011010100=>[2,1,2,1,2,2,3] 000110110110=>011011011000=>[2,1,2,1,2,1,4] 010001110110=>011011100010=>[2,1,2,1,1,4,2] 011010001110=>011100010110=>[2,1,1,4,2,1,2] 001110001110=>011100011100=>[2,1,1,4,1,1,3] 010101001110=>011100101010=>[2,1,1,3,2,2,2] 001101001110=>011100101100=>[2,1,1,3,2,1,3] 001011001110=>011100110100=>[2,1,1,3,1,2,3] 011000101110=>011101000110=>[2,1,1,2,4,1,2] 001100101110=>011101001100=>[2,1,1,2,3,1,3] 010010101110=>011101010010=>[2,1,1,2,2,3,2] 001010101110=>011101010100=>[2,1,1,2,2,2,3] 000110101110=>011101011000=>[2,1,1,2,2,1,4] 001001101110=>011101100100=>[2,1,1,2,1,3,3] 010100011110=>011110001010=>[2,1,1,1,4,2,2] 001100011110=>011110001100=>[2,1,1,1,4,1,3] 001010011110=>011110010100=>[2,1,1,1,3,2,3] 010001011110=>011110100010=>[2,1,1,1,2,4,2] 001001011110=>011110100100=>[2,1,1,1,2,3,3] 000101011110=>011110101000=>[2,1,1,1,2,2,4] 001000111110=>011111000100=>[2,1,1,1,1,4,3] 000010111110=>011111010000=>[2,1,1,1,1,2,5] 00101000011111=>11111000010100=>[1,1,1,1,1,5,2,3] 00100100011111=>11111000100100=>[1,1,1,1,1,4,3,3] 00100001101111=>11110110000100=>[1,1,1,1,2,1,5,3] 00100001011111=>11111010000100=>[1,1,1,1,1,2,5,3] 00100000111111=>11111100000100=>[1,1,1,1,1,1,6,3] 00011000011111=>11111000011000=>[1,1,1,1,1,5,1,4] 00010100011111=>11111000101000=>[1,1,1,1,1,4,2,4] 00010001011111=>11111010001000=>[1,1,1,1,1,2,4,4] 00010000111111=>11111100001000=>[1,1,1,1,1,1,5,4] 00001001011111=>11111010010000=>[1,1,1,1,1,2,3,5] 00001000111111=>11111100010000=>[1,1,1,1,1,1,4,5] 00000100111111=>11111100100000=>[1,1,1,1,1,1,3,6] 00000001111111=>11111110000000=>[1,1,1,1,1,1,1,8] 0101000000=>0000001010=>[7,2,2] 0001010000=>0000101000=>[5,2,4] 0111011100=>0011101110=>[3,1,1,2,1,1,2] 0101000101=>1010001010=>[1,2,4,2,2] 0001010101=>1010101000=>[1,2,2,2,4] 0100010101=>1010100010=>[1,2,2,4,2] 0101010001=>1000101010=>[1,4,2,2,2] 0100101001=>1001010010=>[1,3,2,3,2] 0110001001=>1001000110=>[1,3,4,1,2] 0001001011=>1101001000=>[1,1,2,3,4] 0001100011=>1100011000=>[1,1,4,1,4] 0110000011=>1100000110=>[1,1,6,1,2] 0001110111=>1110111000=>[1,1,1,2,1,1,4] 0111101111=>1111011110=>[1,1,1,1,2,1,1,1,2] 000000011011=>110110000000=>[1,1,2,1,8] 011011011011=>110110110110=>[1,1,2,1,2,1,2,1,2] 000001001011=>110100100000=>[1,1,2,3,6] 000100001011=>110100001000=>[1,1,2,5,4] 010000001011=>110100000010=>[1,1,2,7,2] 011101101011=>110101101110=>[1,1,2,2,1,2,1,1,2] 000001100011=>110001100000=>[1,1,4,1,6] 000100100011=>110001001000=>[1,1,4,3,4] 010000100011=>110001000010=>[1,1,4,5,2] 000110000011=>110000011000=>[1,1,6,1,4] 010010000011=>110000010010=>[1,1,6,3,2] 011000000011=>110000000110=>[1,1,8,1,2] 011110110011=>110011011110=>[1,1,3,1,2,1,1,1,2] 000111101111=>111101111000=>[1,1,1,1,2,1,1,1,4] 010011101111=>111101110010=>[1,1,1,1,2,1,1,3,2] 011001101111=>111101100110=>[1,1,1,1,2,1,3,1,2] 011100101111=>111101001110=>[1,1,1,1,2,3,1,1,2] 011110001111=>111100011110=>[1,1,1,1,4,1,1,1,2] 0111000000=>0000001110=>[7,1,1,2] 0010000000=>0000000100=>[8,3] 01110000000=>00000001110=>[8,1,1,2] 0110100000=>0000010110=>[6,2,1,2] 01111000000=>00000011110=>[7,1,1,1,2] 01111100000=>00000111110=>[6,1,1,1,1,2] 01111110000=>00001111110=>[5,1,1,1,1,1,2] 01111111000=>00011111110=>[4,1,1,1,1,1,1,2] 0111111010=>0101111110=>[2,2,1,1,1,1,1,2] 101101010101=>101010101101=>[1,2,2,2,2,1,2,1] 101011010101=>101010110101=>[1,2,2,2,1,2,2,1] 100111010101=>101010111001=>[1,2,2,2,1,1,3,1] 101100110101=>101011001101=>[1,2,2,1,3,1,2,1] 110010110101=>101011010011=>[1,2,2,1,2,3,1,1] 101010110101=>101011010101=>[1,2,2,1,2,2,2,1] 100110110101=>101011011001=>[1,2,2,1,2,1,3,1] 101001110101=>101011100101=>[1,2,2,1,1,3,2,1] 100101110101=>101011101001=>[1,2,2,1,1,2,3,1] 100011110101=>101011110001=>[1,2,2,1,1,1,4,1] 101101001101=>101100101101=>[1,2,1,3,2,1,2,1] 101011001101=>101100110101=>[1,2,1,3,1,2,2,1] 100111001101=>101100111001=>[1,2,1,3,1,1,3,1] 110100101101=>101101001011=>[1,2,1,2,3,2,1,1] 101100101101=>101101001101=>[1,2,1,2,3,1,2,1] 110010101101=>101101010011=>[1,2,1,2,2,3,1,1] 101010101101=>101101010101=>[1,2,1,2,2,2,2,1] 100110101101=>101101011001=>[1,2,1,2,2,1,3,1] 110001101101=>101101100011=>[1,2,1,2,1,4,1,1] 101001101101=>101101100101=>[1,2,1,2,1,3,2,1] 100101101101=>101101101001=>[1,2,1,2,1,2,3,1] 100011101101=>101101110001=>[1,2,1,2,1,1,4,1] 101100011101=>101110001101=>[1,2,1,1,4,1,2,1] 110010011101=>101110010011=>[1,2,1,1,3,3,1,1] 101010011101=>101110010101=>[1,2,1,1,3,2,2,1] 100110011101=>101110011001=>[1,2,1,1,3,1,3,1] 110001011101=>101110100011=>[1,2,1,1,2,4,1,1] 101001011101=>101110100101=>[1,2,1,1,2,3,2,1] 100101011101=>101110101001=>[1,2,1,1,2,2,3,1] 100011011101=>101110110001=>[1,2,1,1,2,1,4,1] 101000111101=>101111000101=>[1,2,1,1,1,4,2,1] 100100111101=>101111001001=>[1,2,1,1,1,3,3,1] 100010111101=>101111010001=>[1,2,1,1,1,2,4,1] 100001111101=>101111100001=>[1,2,1,1,1,1,5,1] 101101010011=>110010101101=>[1,1,3,2,2,1,2,1] 101011010011=>110010110101=>[1,1,3,2,1,2,2,1] 100111010011=>110010111001=>[1,1,3,2,1,1,3,1] 110010110011=>110011010011=>[1,1,3,1,2,3,1,1] 101010110011=>110011010101=>[1,1,3,1,2,2,2,1] 100011110011=>110011110001=>[1,1,3,1,1,1,4,1] 110101001011=>110100101011=>[1,1,2,3,2,2,1,1] 101101001011=>110100101101=>[1,1,2,3,2,1,2,1] 110011001011=>110100110011=>[1,1,2,3,1,3,1,1] 101011001011=>110100110101=>[1,1,2,3,1,2,2,1] 100111001011=>110100111001=>[1,1,2,3,1,1,3,1] 110100101011=>110101001011=>[1,1,2,2,3,2,1,1] 101100101011=>110101001101=>[1,1,2,2,3,1,2,1] 110010101011=>110101010011=>[1,1,2,2,2,3,1,1] 101010101011=>110101010101=>[1,1,2,2,2,2,2,1] 100110101011=>110101011001=>[1,1,2,2,2,1,3,1] 110001101011=>110101100011=>[1,1,2,2,1,4,1,1] 101001101011=>110101100101=>[1,1,2,2,1,3,2,1] 100101101011=>110101101001=>[1,1,2,2,1,2,3,1] 100011101011=>110101110001=>[1,1,2,2,1,1,4,1] 110100011011=>110110001011=>[1,1,2,1,4,2,1,1] 110010011011=>110110010011=>[1,1,2,1,3,3,1,1] 101010011011=>110110010101=>[1,1,2,1,3,2,2,1] 110001011011=>110110100011=>[1,1,2,1,2,4,1,1] 101001011011=>110110100101=>[1,1,2,1,2,3,2,1] 100101011011=>110110101001=>[1,1,2,1,2,2,3,1] 100011011011=>110110110001=>[1,1,2,1,2,1,4,1] 110000111011=>110111000011=>[1,1,2,1,1,5,1,1] 100010111011=>110111010001=>[1,1,2,1,1,2,4,1] 100001111011=>110111100001=>[1,1,2,1,1,1,5,1] 100111000111=>111000111001=>[1,1,1,4,1,1,3,1] 110100100111=>111001001011=>[1,1,1,3,3,2,1,1] 110010100111=>111001010011=>[1,1,1,3,2,3,1,1] 101010100111=>111001010101=>[1,1,1,3,2,2,2,1] 110001100111=>111001100011=>[1,1,1,3,1,4,1,1] 100011100111=>111001110001=>[1,1,1,3,1,1,4,1] 110100010111=>111010001011=>[1,1,1,2,4,2,1,1] 110010010111=>111010010011=>[1,1,1,2,3,3,1,1] 101010010111=>111010010101=>[1,1,1,2,3,2,2,1] 110001010111=>111010100011=>[1,1,1,2,2,4,1,1] 101001010111=>111010100101=>[1,1,1,2,2,3,2,1] 100101010111=>111010101001=>[1,1,1,2,2,2,3,1] 100011010111=>111010110001=>[1,1,1,2,2,1,4,1] 110000110111=>111011000011=>[1,1,1,2,1,5,1,1] 100010110111=>111011010001=>[1,1,1,2,1,2,4,1] 100001110111=>111011100001=>[1,1,1,2,1,1,5,1] 101100001111=>111100001101=>[1,1,1,1,5,1,2,1] 110010001111=>111100010011=>[1,1,1,1,4,3,1,1] 100110001111=>111100011001=>[1,1,1,1,4,1,3,1] 110001001111=>111100100011=>[1,1,1,1,3,4,1,1] 100011001111=>111100110001=>[1,1,1,1,3,1,4,1] 110000101111=>111101000011=>[1,1,1,1,2,5,1,1] 100010101111=>111101010001=>[1,1,1,1,2,2,4,1] 100001101111=>111101100001=>[1,1,1,1,2,1,5,1] 101000011111=>111110000101=>[1,1,1,1,1,5,2,1] 100100011111=>111110001001=>[1,1,1,1,1,4,3,1] 100010011111=>111110010001=>[1,1,1,1,1,3,4,1] 100001011111=>111110100001=>[1,1,1,1,1,2,5,1] 100000111111=>111111000001=>[1,1,1,1,1,1,6,1] 0000001111=>1111000000=>[1,1,1,1,7] 0011111111=>1111111100=>[1,1,1,1,1,1,1,1,3] 00000001111=>11110000000=>[1,1,1,1,8] 00000111111=>11111100000=>[1,1,1,1,1,1,6] 0001011111=>1111101000=>[1,1,1,1,1,2,4] 00011111111=>11111111000=>[1,1,1,1,1,1,1,1,4] 10110000000=>00000001101=>[8,1,2,1] 10111000000=>00000011101=>[7,1,1,2,1] 10111100000=>00000111101=>[6,1,1,1,2,1] 10111110000=>00001111101=>[5,1,1,1,1,2,1] 10111111111=>11111111101=>[1,1,1,1,1,1,1,1,1,2,1] 0011101110=>0111011100=>[2,1,1,2,1,1,3] 0011111100=>0011111100=>[3,1,1,1,1,1,3] 00111111100=>00111111100=>[3,1,1,1,1,1,1,3] 0011011100=>0011101100=>[3,1,1,2,1,3] 0010111001=>1001110100=>[1,3,1,1,2,3] 0001111001=>1001111000=>[1,3,1,1,1,4] 011000111100=>001111000110=>[3,1,1,1,4,1,2] 010100111100=>001111001010=>[3,1,1,1,3,2,2] 001100111001=>100111001100=>[1,3,1,1,3,1,3] 001100111100=>001111001100=>[3,1,1,1,3,1,3] 010010111100=>001111010010=>[3,1,1,1,2,3,2] 001010111001=>100111010100=>[1,3,1,1,2,2,3] 001010111100=>001111010100=>[3,1,1,1,2,2,3] 000110111001=>100111011000=>[1,3,1,1,2,1,4] 000110111100=>001111011000=>[3,1,1,1,2,1,4] 001110110001=>100011011100=>[1,4,1,2,1,1,3] 001110110010=>010011011100=>[2,3,1,2,1,1,3] 001110110100=>001011011100=>[3,2,1,2,1,1,3] 001110111000=>000111011100=>[4,1,1,2,1,1,3] 001101101001=>100101101100=>[1,3,2,1,2,1,3] 001001111001=>100111100100=>[1,3,1,1,1,3,3] 000101111001=>100111101000=>[1,3,1,1,1,2,4] 001101110001=>100011101100=>[1,4,1,1,2,1,3] 001011100101=>101001110100=>[1,2,3,1,1,2,3] 001011101001=>100101110100=>[1,3,2,1,1,2,3] 000011111001=>100111110000=>[1,3,1,1,1,1,5] 001011110001=>100011110100=>[1,4,1,1,1,2,3] 000111100011=>110001111000=>[1,1,4,1,1,1,4] 000111100101=>101001111000=>[1,2,3,1,1,1,4] 000111101001=>100101111000=>[1,3,2,1,1,1,4] 01010001010111=>11101010001010=>[1,1,1,2,2,4,2,2] 01010001001111=>11110010001010=>[1,1,1,1,3,4,2,2] 01010000101111=>11110100001010=>[1,1,1,1,2,5,2,2] 0000101010=>0101010000=>[2,2,2,5] 11111111011=>11011111111=>[1,1,2,1,1,1,1,1,1,1,1] 11000000011=>11000000011=>[1,1,8,1,1] 11000001111=>11110000011=>[1,1,1,1,6,1,1] 11000111111=>11111100011=>[1,1,1,1,1,1,4,1,1] 111000101011=>110101000111=>[1,1,2,2,4,1,1,1] 101110001011=>110100011101=>[1,1,2,4,1,1,2,1] 110110001011=>110100011011=>[1,1,2,4,1,2,1,1] 111010001011=>110100010111=>[1,1,2,4,2,1,1,1] 111100001011=>110100001111=>[1,1,2,5,1,1,1,1] 101111000011=>110000111101=>[1,1,5,1,1,1,2,1] 101110001101=>101100011101=>[1,2,1,4,1,1,2,1] 101110010101=>101010011101=>[1,2,2,3,1,1,2,1] 101011100101=>101001110101=>[1,2,3,1,1,2,2,1] 101110100101=>101001011101=>[1,2,3,2,1,1,2,1] 101111000101=>101000111101=>[1,2,4,1,1,1,2,1] 101010111001=>100111010101=>[1,3,1,1,2,2,2,1] 110010111001=>100111010011=>[1,3,1,1,2,3,1,1] 101011101001=>100101110101=>[1,3,2,1,1,2,2,1] 101101101001=>100101101101=>[1,3,2,1,2,1,2,1] 101111100001=>100001111101=>[1,5,1,1,1,1,2,1] 11010001000=>00010001011=>[4,4,2,1,1] 11000100010=>01000100011=>[2,4,4,1,1] 10101001000=>00010010101=>[4,3,2,2,1] 10100101000=>00010100101=>[4,2,3,2,1] 10010101000=>00010101001=>[4,2,2,3,1] 00010101010=>01010101000=>[2,2,2,2,4] 00000100010=>01000100000=>[2,4,6] 0011100011=>1100011100=>[1,1,4,1,1,3] 001011100011=>110001110100=>[1,1,4,1,1,2,3] 111000001110=>011100000111=>[2,1,1,6,1,1,1] 001011011001=>100110110100=>[1,3,1,2,1,2,3] 001110001101=>101100011100=>[1,2,1,4,1,1,3] 001110010011=>110010011100=>[1,1,3,3,1,1,3] 001110011001=>100110011100=>[1,3,1,3,1,1,3] 001110011100=>001110011100=>[3,1,1,3,1,1,3] 001110100101=>101001011100=>[1,2,3,2,1,1,3] 001111001001=>100100111100=>[1,3,3,1,1,1,3] 11011100000=>00000111011=>[6,1,1,2,1,1] 11101100000=>00000110111=>[6,1,2,1,1,1] 10101010000=>00001010101=>[5,2,2,2,1] 11101000001=>10000010111=>[1,6,2,1,1,1] 10110100000=>00000101101=>[6,2,1,2,1] 11001100000=>00000110011=>[6,1,3,1,1] 11111000000=>00000011111=>[7,1,1,1,1,1] 01110100000=>00000101110=>[6,2,1,1,2] 11000100000=>00000100011=>[6,4,1,1] 10101000001=>10000010101=>[1,6,2,2,1] 11011000000=>00000011011=>[7,1,2,1,1] 01000100000=>00000100010=>[6,4,2] 10101000000=>00000010101=>[7,2,2,1] 10011000000=>00000011001=>[7,1,3,1] 110001010110=>011010100011=>[2,1,2,2,4,1,1] 100110111000=>000111011001=>[4,1,1,2,1,3,1] 111010000110=>011000010111=>[2,1,5,2,1,1,1] 100110110010=>010011011001=>[2,3,1,2,1,3,1] 111000100110=>011001000111=>[2,1,3,4,1,1,1] 110100010110=>011010001011=>[2,1,2,4,2,1,1] 110010001110=>011100010011=>[2,1,1,4,3,1,1] 100110011100=>001110011001=>[3,1,1,3,1,3,1] 100110110100=>001011011001=>[3,2,1,2,1,3,1] 00000101110=>01110100000=>[2,1,1,2,6] 00010111110=>01111101000=>[2,1,1,1,1,2,4] 0010010101=>1010100100=>[1,2,2,3,3] 000010010011=>110010010000=>[1,1,3,3,5] 0010010011=>1100100100=>[1,1,3,3,3] 00010001011=>11010001000=>[1,1,2,4,4] 0000100111=>1110010000=>[1,1,1,3,5] 0001001010=>0101001000=>[2,2,3,4] 0000100100=>0010010000=>[3,3,5] 0000100010=>0100010000=>[2,4,5] 0011000000=>0000001100=>[7,1,3] 11111001100=>00110011111=>[3,1,3,1,1,1,1,1] 11110011000=>00011001111=>[4,1,3,1,1,1,1] 11100110000=>00001100111=>[5,1,3,1,1,1] 0010110000=>0000110100=>[5,1,2,3] 0101010111=>1110101010=>[1,1,1,2,2,2,2] 10101010001=>10001010101=>[1,4,2,2,2,1] 111000010110=>011010000111=>[2,1,2,5,1,1,1] 100100111100=>001111001001=>[3,1,1,1,3,3,1] 110000110110=>011011000011=>[2,1,2,1,5,1,1] 110100011010=>010110001011=>[2,2,1,4,2,1,1] 111000011010=>010110000111=>[2,2,1,5,1,1,1] 101100011100=>001110001101=>[3,1,1,4,1,2,1] 110010011100=>001110010011=>[3,1,1,3,3,1,1] 111000011011=>110110000111=>[1,1,2,1,5,1,1,1] 100111100011=>110001111001=>[1,1,4,1,1,1,3,1] 110010101110=>011101010011=>[2,1,1,2,2,3,1,1] 101100101110=>011101001101=>[2,1,1,2,3,1,2,1] 111000101110=>011101000111=>[2,1,1,2,4,1,1,1] 101011001110=>011100110101=>[2,1,1,3,1,2,2,1] 110011001110=>011100110011=>[2,1,1,3,1,3,1,1] 101110001110=>011100011101=>[2,1,1,4,1,1,2,1] 111100001110=>011100001111=>[2,1,1,5,1,1,1,1] 111000100111=>111001000111=>[1,1,1,3,4,1,1,1] 111000010111=>111010000111=>[1,1,1,2,5,1,1,1] 101110000111=>111000011101=>[1,1,1,5,1,1,2,1] 101010111100=>001111010101=>[3,1,1,1,2,2,2,1] 110010111100=>001111010011=>[3,1,1,1,2,3,1,1] 101100111100=>001111001101=>[3,1,1,1,3,1,2,1] 100110111100=>001111011001=>[3,1,1,1,2,1,3,1] 111000111100=>001111000111=>[3,1,1,1,4,1,1,1] 111000011110=>011110000111=>[2,1,1,1,5,1,1,1] 101011111000=>000111110101=>[4,1,1,1,1,2,2,1] 110011111000=>000111110011=>[4,1,1,1,1,3,1,1] 101001111100=>001111100101=>[3,1,1,1,1,3,2,1] 100101111100=>001111101001=>[3,1,1,1,1,2,3,1] 110001111100=>001111100011=>[3,1,1,1,1,4,1,1] 101111110000=>000011111101=>[5,1,1,1,1,1,2,1] 100111111000=>000111111001=>[4,1,1,1,1,1,3,1] 111111100000=>000001111111=>[6,1,1,1,1,1,1,1] 11111100000=>00000111111=>[6,1,1,1,1,1,1] 01111100010=>01000111110=>[2,4,1,1,1,1,2] 01111101000=>00010111110=>[4,2,1,1,1,1,2] 100011001100=>001100110001=>[3,1,3,1,4,1] 100011110000=>000011110001=>[5,1,1,1,4,1] 100001111000=>000111100001=>[4,1,1,1,5,1] 111000001100=>001100000111=>[3,1,6,1,1,1] 111000000110=>011000000111=>[2,1,7,1,1,1] 111110000000=>000000011111=>[8,1,1,1,1,1] 01000101111=>11110100010=>[1,1,1,1,2,4,2] 10010110101=>10101101001=>[1,2,2,1,2,3,1] 10000011111=>11111000001=>[1,1,1,1,1,6,1] 10011010101=>10101011001=>[1,2,2,2,1,3,1] 00001111100=>00111110000=>[3,1,1,1,1,5] 11111111100=>00111111111=>[3,1,1,1,1,1,1,1,1,1] 11010000001=>10000001011=>[1,7,2,1,1] 0010101111=>1111010100=>[1,1,1,1,2,2,3] 0011100001=>1000011100=>[1,5,1,1,3] 0011010001=>1000101100=>[1,4,2,1,3] 01010101000=>00010101010=>[4,2,2,2,2] 01000000010=>01000000010=>[2,8,2] 00010000000=>00000001000=>[8,4] 00000001000=>00010000000=>[4,8] 100110001001=>100100011001=>[1,3,4,1,3,1] 100111011001=>100110111001=>[1,3,1,2,1,1,3,1] 100111011101=>101110111001=>[1,2,1,1,2,1,1,3,1] 100111101001=>100101111001=>[1,3,2,1,1,1,3,1] 100111100101=>101001111001=>[1,2,3,1,1,1,3,1] 100111110101=>101011111001=>[1,2,2,1,1,1,1,3,1] 100010001001=>100100010001=>[1,3,4,4,1] 100001001001=>100100100001=>[1,3,3,5,1] 100001101001=>100101100001=>[1,3,2,1,5,1] 100000010101=>101010000001=>[1,2,2,7,1] 110111011101=>101110111011=>[1,2,1,1,2,1,1,2,1,1] 110111101101=>101101111011=>[1,2,1,2,1,1,1,2,1,1] 110111110101=>101011111011=>[1,2,2,1,1,1,1,2,1,1] 110010001001=>100100010011=>[1,3,4,3,1,1] 110010000101=>101000010011=>[1,2,5,3,1,1] 110001001001=>100100100011=>[1,3,3,4,1,1] 110001001101=>101100100011=>[1,2,1,3,4,1,1] 110001000101=>101000100011=>[1,2,4,4,1,1] 110000101001=>100101000011=>[1,3,2,5,1,1] 110000100101=>101001000011=>[1,2,3,5,1,1] 110000010101=>101010000011=>[1,2,2,6,1,1] 111011011101=>101110110111=>[1,2,1,1,2,1,2,1,1,1] 111011101101=>101101110111=>[1,2,1,2,1,1,2,1,1,1] 111011110101=>101011110111=>[1,2,2,1,1,1,2,1,1,1] 111101011101=>101110101111=>[1,2,1,1,2,2,1,1,1,1] 111101101001=>100101101111=>[1,3,2,1,2,1,1,1,1] 111101101101=>101101101111=>[1,2,1,2,1,2,1,1,1,1] 111101110101=>101011101111=>[1,2,2,1,1,2,1,1,1,1] 111100101101=>101101001111=>[1,2,1,2,3,1,1,1,1] 111110101101=>101101011111=>[1,2,1,2,2,1,1,1,1,1] 111110110101=>101011011111=>[1,2,2,1,2,1,1,1,1,1] 111111010101=>101010111111=>[1,2,2,2,1,1,1,1,1,1] 0000101000=>0001010000=>[4,2,5] 0010001000=>0001000100=>[4,4,3] 000000001010=>010100000000=>[2,2,9] 000000101000=>000101000000=>[4,2,7] 000000100010=>010001000000=>[2,4,7] 000000110110=>011011000000=>[2,1,2,1,7] 000010100000=>000001010000=>[6,2,5] 000010101010=>010101010000=>[2,2,2,2,5] 000010001000=>000100010000=>[4,4,5] 000010000010=>010000010000=>[2,6,5] 000011011000=>000110110000=>[4,1,2,1,5] 000011010010=>010010110000=>[2,3,2,1,5] 000011000110=>011000110000=>[2,1,4,1,5] 001010000000=>000000010100=>[8,2,3] 001010001010=>010100010100=>[2,2,4,2,3] 001010101000=>000101010100=>[4,2,2,2,3] 001010100010=>010001010100=>[2,4,2,2,3] 001000100000=>000001000100=>[6,4,3] 001000101010=>010101000100=>[2,2,2,4,3] 001000001000=>000100000100=>[4,6,3] 001000000010=>010000000100=>[2,8,3] 001000010110=>011010000100=>[2,1,2,5,3] 001001011000=>000110100100=>[4,1,2,3,3] 001001010010=>010010100100=>[2,3,2,3,3] 001001000110=>011000100100=>[2,1,4,3,3] 001101100000=>000001101100=>[6,1,2,1,3] 001101000010=>010000101100=>[2,5,2,1,3] 001100011000=>000110001100=>[4,1,4,1,3] 001100010010=>010010001100=>[2,3,4,1,3] 001100000110=>011000001100=>[2,1,6,1,3] 001111011110=>011110111100=>[2,1,1,1,2,1,1,1,3] 101000000000=>000000000101=>[10,2,1] 101000001010=>010100000101=>[2,2,6,2,1] 101000101000=>000101000101=>[4,2,4,2,1] 101000100010=>010001000101=>[2,4,4,2,1] 101010100000=>000001010101=>[6,2,2,2,1] 101010001000=>000100010101=>[4,4,2,2,1] 101010000010=>010000010101=>[2,6,2,2,1] 101011000110=>011000110101=>[2,1,4,1,2,2,1] 100010101000=>000101010001=>[4,2,2,4,1] 100010100010=>010001010001=>[2,4,2,4,1] 100001011000=>000110100001=>[4,1,2,5,1] 100101100000=>000001101001=>[6,1,2,3,1] 100101001000=>000100101001=>[4,3,2,3,1] 100101000010=>010000101001=>[2,5,2,3,1] 100100011000=>000110001001=>[4,1,4,3,1] 100100010010=>010010001001=>[2,3,4,3,1] 110110000000=>000000011011=>[8,1,2,1,1] 110110110110=>011011011011=>[2,1,2,1,2,1,2,1,1] 110100100000=>000001001011=>[6,3,2,1,1] 110100001000=>000100001011=>[4,5,2,1,1] 110100000010=>010000001011=>[2,7,2,1,1] 110101000110=>011000101011=>[2,1,4,2,2,1,1] 110101101110=>011101101011=>[2,1,1,2,1,2,2,1,1] 110001100000=>000001100011=>[6,1,4,1,1] 110001001000=>000100100011=>[4,3,4,1,1] 110001000010=>010000100011=>[2,5,4,1,1] 110000011000=>000110000011=>[4,1,6,1,1] 110000010010=>010010000011=>[2,3,6,1,1] 110000000110=>011000000011=>[2,1,8,1,1] 110010100110=>011001010011=>[2,1,3,2,3,1,1] 111011101010=>010101110111=>[2,2,2,1,1,2,1,1,1] 111011010110=>011010110111=>[2,1,2,2,1,2,1,1,1] 111010101110=>011101010111=>[2,1,1,2,2,2,1,1,1] 111001011110=>011110100111=>[2,1,1,1,2,3,1,1,1] 111101111000=>000111101111=>[4,1,1,1,2,1,1,1,1] 111101110010=>010011101111=>[2,3,1,1,2,1,1,1,1] 111101100110=>011001101111=>[2,1,3,1,2,1,1,1,1] 111101001110=>011100101111=>[2,1,1,3,2,1,1,1,1] 111100011110=>011110001111=>[2,1,1,1,4,1,1,1,1] 10011111111=>11111111001=>[1,1,1,1,1,1,1,1,3,1] 10001111111=>11111110001=>[1,1,1,1,1,1,1,4,1] 10000000111=>11100000001=>[1,1,1,8,1] 10000011111101=>10111111000001=>[1,2,1,1,1,1,1,6,1] 10001100111101=>10111100110001=>[1,2,1,1,1,3,1,4,1] 10001001111101=>10111110010001=>[1,2,1,1,1,1,3,4,1] 10001011011101=>10111011010001=>[1,2,1,1,2,1,2,4,1] 10001011110101=>10101111010001=>[1,2,2,1,1,1,2,4,1] 10100001111101=>10111110000101=>[1,2,1,1,1,1,5,2,1] 10100011011101=>10111011000101=>[1,2,1,1,2,1,4,2,1] 10100011110101=>10101111000101=>[1,2,2,1,1,1,4,2,1] 10101001011101=>10111010010101=>[1,2,1,1,2,3,2,2,1] 10101001110101=>10101110010101=>[1,2,2,1,1,3,2,2,1] 10101011010101=>10101011010101=>[1,2,2,2,1,2,2,2,1] 111010110100=>001011010111=>[3,2,1,2,2,1,1,1] 111011001100=>001100110111=>[3,1,3,1,2,1,1,1] 111011011000=>000110110111=>[4,1,2,1,2,1,1,1] 111011100100=>001001110111=>[3,3,1,1,2,1,1,1] 111011110000=>000011110111=>[5,1,1,1,2,1,1,1] 111110001100=>001100011111=>[3,1,4,1,1,1,1,1] 111110011000=>000110011111=>[4,1,3,1,1,1,1,1] 111110100100=>001001011111=>[3,3,2,1,1,1,1,1] 111110110000=>000011011111=>[5,1,2,1,1,1,1,1] 100010110100=>001011010001=>[3,2,1,2,4,1] 100011011000=>000110110001=>[4,1,2,1,4,1] 100011100100=>001001110001=>[3,3,1,1,4,1] 100110001100=>001100011001=>[3,1,4,1,3,1] 100110011000=>000110011001=>[4,1,3,1,3,1] 100110100100=>001001011001=>[3,3,2,1,3,1] 100110110000=>000011011001=>[5,1,2,1,3,1] 100111100000=>000001111001=>[6,1,1,1,3,1] 101000110100=>001011000101=>[3,2,1,4,2,1] 101001001100=>001100100101=>[3,1,3,3,2,1] 101001011000=>000110100101=>[4,1,2,3,2,1] 101001100100=>001001100101=>[3,3,1,3,2,1] 101001110000=>000011100101=>[5,1,1,3,2,1] 101010010100=>001010010101=>[3,2,3,2,2,1] 101011000100=>001000110101=>[3,4,1,2,2,1] 101011010000=>000010110101=>[5,2,1,2,2,1] 101100001100=>001100001101=>[3,1,5,1,2,1] 101100011000=>000110001101=>[4,1,4,1,2,1] 101100100100=>001001001101=>[3,3,3,1,2,1] 101100110000=>000011001101=>[5,1,3,1,2,1] 101101100000=>000001101101=>[6,1,2,1,2,1] 101110000100=>001000011101=>[3,5,1,1,2,1] 101110010000=>000010011101=>[5,3,1,1,2,1] 101111000000=>000000111101=>[7,1,1,1,2,1] 101011111111=>111111110101=>[1,1,1,1,1,1,1,1,2,2,1] 111010111111=>111111010111=>[1,1,1,1,1,1,2,2,1,1,1] 101110111111=>111111011101=>[1,1,1,1,1,1,2,1,1,2,1] 100100111111=>111111001001=>[1,1,1,1,1,1,3,3,1] 111110101111=>111101011111=>[1,1,1,1,2,2,1,1,1,1,1] 101010101111=>111101010101=>[1,1,1,1,2,2,2,2,1] 111011101111=>111101110111=>[1,1,1,1,2,1,1,2,1,1,1] 101111101111=>111101111101=>[1,1,1,1,2,1,1,1,1,2,1] 111001001111=>111100100111=>[1,1,1,1,3,3,1,1,1] 100111001111=>111100111001=>[1,1,1,1,3,1,1,3,1] 111111101011=>110101111111=>[1,1,2,2,1,1,1,1,1,1,1] 101011101011=>110101110101=>[1,1,2,2,1,1,2,2,1] 111010101011=>110101010111=>[1,1,2,2,2,2,1,1,1] 101110101011=>110101011101=>[1,1,2,2,2,1,1,2,1] 111110111011=>110111011111=>[1,1,2,1,1,2,1,1,1,1,1] 101010111011=>110111010101=>[1,1,2,1,1,2,2,2,1] 111011111011=>110111110111=>[1,1,2,1,1,1,1,2,1,1,1] 101111111011=>110111111101=>[1,1,2,1,1,1,1,1,1,2,1] 101101011011=>110110101101=>[1,1,2,1,2,2,1,2,1] 100111011011=>110110111001=>[1,1,2,1,2,1,1,3,1] 101111010011=>110010111101=>[1,1,3,2,1,1,1,2,1] 100001000011=>110000100001=>[1,1,5,5,1] 111111111010=>010111111111=>[2,2,1,1,1,1,1,1,1,1,1] 101011111010=>010111110101=>[2,2,1,1,1,1,2,2,1] 111010111010=>010111010111=>[2,2,1,1,2,2,1,1,1] 101110111010=>010111011101=>[2,2,1,1,2,1,1,2,1] 111110101010=>010101011111=>[2,2,2,2,1,1,1,1,1] 101111101010=>010101111101=>[2,2,2,1,1,1,1,2,1] 101110101110=>011101011101=>[2,1,1,2,2,1,1,2,1] 111110010110=>011010011111=>[2,1,2,3,1,1,1,1,1] 101111010110=>011010111101=>[2,1,2,2,1,1,1,2,1] 111111100100=>001001111111=>[3,3,1,1,1,1,1,1,1] 100100100100=>001001001001=>[3,3,3,3,1] 111110110100=>001011011111=>[3,2,1,2,1,1,1,1,1] 111011110100=>001011110111=>[3,2,1,1,1,2,1,1,1] 101111110100=>001011111101=>[3,2,1,1,1,1,1,2,1] 100010010100=>001010010001=>[3,2,3,4,1] 111110011100=>001110011111=>[3,1,1,3,1,1,1,1,1] 111011011100=>001110110111=>[3,1,1,2,1,2,1,1,1] 101111011100=>001110111101=>[3,1,1,2,1,1,1,2,1] 111001111100=>001111100111=>[3,1,1,1,1,3,1,1,1] 101101111100=>001111101101=>[3,1,1,1,1,2,1,2,1] 100111111100=>001111111001=>[3,1,1,1,1,1,1,3,1] 111000010000=>000010000111=>[5,5,1,1,1] 101100010000=>000010001101=>[5,4,1,2,1] 100110010000=>000010011001=>[5,3,1,3,1] 100011010000=>000010110001=>[5,2,1,4,1] 100001110000=>000011100001=>[5,1,1,5,1] 110011000110=>011000110011=>[2,1,4,1,3,1,1] 110011110110=>011011110011=>[2,1,2,1,1,1,3,1,1] 110001001110=>011100100011=>[2,1,1,3,4,1,1] 110001101100=>001101100011=>[3,1,2,1,4,1,1] 110001100110=>011001100011=>[2,1,3,1,4,1,1] 110001110010=>010011100011=>[2,3,1,1,4,1,1] 110000100100=>001001000011=>[3,3,5,1,1] 111011000110=>011000110111=>[2,1,4,1,2,1,1,1] 111011101100=>001101110111=>[3,1,2,1,1,2,1,1,1] 111011110110=>011011110111=>[2,1,2,1,1,1,2,1,1,1] 111001000110=>011000100111=>[2,1,4,3,1,1,1] 111001101100=>001101100111=>[3,1,2,1,3,1,1,1] 111001100110=>011001100111=>[2,1,3,1,3,1,1,1] 111000100100=>001001000111=>[3,3,4,1,1,1] 111000110110=>011011000111=>[2,1,2,1,4,1,1,1] 111101101100=>001101101111=>[3,1,2,1,2,1,1,1,1] 111100110110=>011011001111=>[2,1,2,1,3,1,1,1,1] 111110101100=>001101011111=>[3,1,2,2,1,1,1,1,1] 111110110110=>011011011111=>[2,1,2,1,2,1,1,1,1,1] 111111010010=>010010111111=>[2,3,2,1,1,1,1,1,1] 100111000011=>110000111001=>[1,1,5,1,1,3,1] 110001001011=>110100100011=>[1,1,2,3,4,1,1] 110001000111=>111000100011=>[1,1,1,4,4,1,1] 110010010110=>011010010011=>[2,1,2,3,3,1,1] 110110000110=>011000011011=>[2,1,5,1,2,1,1] 111100000110=>011000001111=>[2,1,6,1,1,1,1] 110100001110=>011100001011=>[2,1,1,5,2,1,1] 10100000001=>10000000101=>[1,8,2,1] 11110100001=>10000101111=>[1,5,2,1,1,1,1] 11111010001=>10001011111=>[1,4,2,1,1,1,1,1] 11111101001=>10010111111=>[1,3,2,1,1,1,1,1,1] 11111110101=>10101111111=>[1,2,2,1,1,1,1,1,1,1] 10010101101=>10110101001=>[1,2,1,2,2,3,1] 10010101011=>11010101001=>[1,1,2,2,2,3,1] 01000111011=>11011100010=>[1,1,2,1,1,4,2] 00010111011=>11011101000=>[1,1,2,1,1,2,4] 110010010000=>000010010011=>[5,3,3,1,1] 0101001000=>0001001010=>[4,3,2,2] 0101010000=>0000101010=>[5,2,2,2] 0010010000=>0000100100=>[5,3,3] 01001100001111=>11110000110010=>[1,1,1,1,5,1,3,2] 00011100001111=>11110000111000=>[1,1,1,1,5,1,1,4] 01010000011111=>11111000001010=>[1,1,1,1,1,6,2,2] 0001010010=>0100101000=>[2,3,2,4] 0100101000=>0001010010=>[4,2,3,2] 010011100011=>110001110010=>[1,1,4,1,1,3,2] 010110100011=>110001011010=>[1,1,4,2,1,2,2] 011001001011=>110100100110=>[1,1,2,3,3,1,2] 011011000011=>110000110110=>[1,1,5,1,2,1,2] 110001100011=>110001100011=>[1,1,4,1,4,1,1] 0001011001=>1001101000=>[1,3,1,2,4] 0001100101=>1010011000=>[1,2,3,1,4] 0001110001=>1000111000=>[1,4,1,1,4] 0010011001=>1001100100=>[1,3,1,3,3] 0010100101=>1010010100=>[1,2,3,2,3] 0010101001=>1001010100=>[1,3,2,2,3] 0011000101=>1010001100=>[1,2,4,1,3] 0011001001=>1001001100=>[1,3,3,1,3] 0100100101=>1010010010=>[1,2,3,3,2] 0101001001=>1001001010=>[1,3,3,2,2] 0010110111=>1110110100=>[1,1,1,2,1,2,3] 0010011111=>1111100100=>[1,1,1,1,1,3,3] 0000111001=>1001110000=>[1,3,1,1,5] 0100001101=>1011000010=>[1,2,1,5,2] 0010001101=>1011000100=>[1,2,1,4,3] 0001001101=>1011001000=>[1,2,1,3,4] 11000001000=>00010000011=>[4,6,1,1] 11111111000=>00011111111=>[4,1,1,1,1,1,1,1,1] 111001111000=>000111100111=>[4,1,1,1,3,1,1,1] 111010010110=>011010010111=>[2,1,2,3,2,1,1,1] 111110000110=>011000011111=>[2,1,5,1,1,1,1,1] 101111000110=>011000111101=>[2,1,4,1,1,1,2,1] 101111001100=>001100111101=>[3,1,3,1,1,1,2,1] 101011010110=>011010110101=>[2,1,2,2,1,2,2,1] 101111011000=>000110111101=>[4,1,2,1,1,1,2,1] 101011011100=>001110110101=>[3,1,1,2,1,2,2,1] 101101100110=>011001101101=>[2,1,3,1,2,1,2,1] 101101101100=>001101101101=>[3,1,2,1,2,1,2,1] 101111100100=>001001111101=>[3,3,1,1,1,1,2,1] 100111100110=>011001111001=>[2,1,3,1,1,1,3,1] 100111101100=>001101111001=>[3,1,2,1,1,1,3,1] 101011110100=>001011110101=>[3,2,1,1,1,2,2,1] 101101111000=>000111101101=>[4,1,1,1,2,1,2,1] 0110001111=>1111000110=>[1,1,1,1,4,1,2] 0101101011=>1101011010=>[1,1,2,2,1,2,2] 10101001010111=>11101010010101=>[1,1,1,2,2,3,2,2,1] 10100011010111=>11101011000101=>[1,1,1,2,2,1,4,2,1] 10100001110111=>11101110000101=>[1,1,1,2,1,1,5,2,1] 10100110010111=>11101001100101=>[1,1,1,2,3,1,3,2,1] 10001011010111=>11101011010001=>[1,1,1,2,2,1,2,4,1] 0011000011=>1100001100=>[1,1,5,1,3] 0011011011=>1101101100=>[1,1,2,1,2,1,3] 0001111011=>1101111000=>[1,1,2,1,1,1,4] 111111011011=>110110111111=>[1,1,2,1,2,1,1,1,1,1,1] 111100011011=>110110001111=>[1,1,2,1,4,1,1,1,1] 111101101111=>111101101111=>[1,1,1,1,2,1,2,1,1,1,1] 111101111011=>110111101111=>[1,1,2,1,1,1,2,1,1,1,1] 111101001011=>110100101111=>[1,1,2,3,2,1,1,1,1] 110011011011=>110110110011=>[1,1,2,1,2,1,3,1,1] 110001101111=>111101100011=>[1,1,1,1,2,1,4,1,1] 110001111011=>110111100011=>[1,1,2,1,1,1,4,1,1] 110110111111=>111111011011=>[1,1,1,1,1,1,2,1,2,1,1] 110110011011=>110110011011=>[1,1,2,1,3,1,2,1,1] 110111101111=>111101111011=>[1,1,1,1,2,1,1,1,2,1,1] 110111111011=>110111111011=>[1,1,2,1,1,1,1,1,2,1,1] 110111001011=>110100111011=>[1,1,2,3,1,1,2,1,1] 110100101111=>111101001011=>[1,1,1,1,2,3,2,1,1] 110101101011=>110101101011=>[1,1,2,2,1,2,2,1,1] 001111111111=>111111111100=>[1,1,1,1,1,1,1,1,1,1,3] 001111110011=>110011111100=>[1,1,3,1,1,1,1,1,3] 001111001111=>111100111100=>[1,1,1,1,3,1,1,1,3] 001111011011=>110110111100=>[1,1,2,1,2,1,1,1,3] 001100111111=>111111001100=>[1,1,1,1,1,1,3,1,3] 001100000011=>110000001100=>[1,1,7,1,3] 001101101111=>111101101100=>[1,1,1,1,2,1,2,1,3] 001101111011=>110111101100=>[1,1,2,1,1,1,2,1,3] 000011111111=>111111110000=>[1,1,1,1,1,1,1,1,5] 000011000011=>110000110000=>[1,1,5,1,5] 000000110011=>110011000000=>[1,1,3,1,7] 000000001111=>111100000000=>[1,1,1,1,9] 000000000011=>110000000000=>[1,1,11] 000110111111=>111111011000=>[1,1,1,1,1,1,2,1,4] 000111111011=>110111111000=>[1,1,2,1,1,1,1,1,4] 011011111111=>111111110110=>[1,1,1,1,1,1,1,1,2,1,2] 011000111111=>111111000110=>[1,1,1,1,1,1,4,1,2] 011001111011=>110111100110=>[1,1,2,1,1,1,3,1,2] 011110111111=>111111011110=>[1,1,1,1,1,1,2,1,1,1,2] 011110011011=>110110011110=>[1,1,2,1,3,1,1,1,2] 011111101111=>111101111110=>[1,1,1,1,2,1,1,1,1,1,2] 011111100011=>110001111110=>[1,1,4,1,1,1,1,1,2] 011111111011=>110111111110=>[1,1,2,1,1,1,1,1,1,1,2] 011100111011=>110111001110=>[1,1,2,1,1,3,1,1,2] 010010111111=>111111010010=>[1,1,1,1,1,1,2,3,2] 010110101111=>111101011010=>[1,1,1,1,2,2,1,2,2] 010110111011=>110111011010=>[1,1,2,1,1,2,1,2,2] 010111101011=>110101111010=>[1,1,2,2,1,1,1,2,2] 11100000000=>00000000111=>[9,1,1,1] 11110000000=>00000001111=>[8,1,1,1,1] 11111110000=>00001111111=>[5,1,1,1,1,1,1,1] 11011100010=>01000111011=>[2,4,1,1,2,1,1] 11011101000=>00010111011=>[4,2,1,1,2,1,1] 11100101010=>01010100111=>[2,2,2,3,1,1,1] 11101001010=>01010010111=>[2,2,3,2,1,1,1] 11101010010=>01001010111=>[2,3,2,2,1,1,1] 11110100010=>01000101111=>[2,4,2,1,1,1,1] 11110110000=>00001101111=>[5,1,2,1,1,1,1] 111111111100=>001111111111=>[3,1,1,1,1,1,1,1,1,1,1] 111111110000=>000011111111=>[5,1,1,1,1,1,1,1,1] 111111110110=>011011111111=>[2,1,2,1,1,1,1,1,1,1,1] 111111001100=>001100111111=>[3,1,3,1,1,1,1,1,1] 111111000110=>011000111111=>[2,1,4,1,1,1,1,1,1] 111111011000=>000110111111=>[4,1,2,1,1,1,1,1,1] 111100111100=>001111001111=>[3,1,1,1,3,1,1,1,1] 111100000000=>000000001111=>[9,1,1,1,1] 111101011010=>010110101111=>[2,2,1,2,2,1,1,1,1] 110011111100=>001111110011=>[3,1,1,1,1,1,3,1,1] 110011000000=>000000110011=>[7,1,3,1,1] 110000110000=>000011000011=>[5,1,5,1,1] 110000001100=>001100000011=>[3,1,7,1,1] 110000000000=>000000000011=>[11,1,1] 110001011010=>010110100011=>[2,2,1,2,4,1,1] 110110011110=>011110011011=>[2,1,1,1,3,1,2,1,1] 110111100110=>011001111011=>[2,1,3,1,1,1,2,1,1] 110111111000=>000111111011=>[4,1,1,1,1,1,2,1,1] 110111110010=>010011111011=>[2,3,1,1,1,1,2,1,1] 110111001110=>011100111011=>[2,1,1,3,1,1,2,1,1] 110111011010=>010110111011=>[2,2,1,2,1,1,2,1,1] 110100100110=>011001001011=>[2,1,3,3,2,1,1] 110101111010=>010111101011=>[2,2,1,1,1,2,2,1,1] 101000010000=>000010000101=>[5,5,2,1] 100010010000=>000010010001=>[5,3,4,1] 0010000111=>1110000100=>[1,1,1,5,3] 0011100111=>1110011100=>[1,1,1,3,1,1,3] 11110101010=>01010101111=>[2,2,2,2,1,1,1,1] 0111011111=>1111101110=>[1,1,1,1,1,2,1,1,2] 001010010001=>100010010100=>[1,4,3,2,3] 000010110001=>100011010000=>[1,4,1,2,5] 001000110001=>100011000100=>[1,4,1,4,3] 01000000101=>10100000010=>[1,2,7,2] 01000001011=>11010000010=>[1,1,2,6,2] 01000010111=>11101000010=>[1,1,1,2,5,2] 01010111111=>11111101010=>[1,1,1,1,1,1,2,2,2] 111000011000=>000110000111=>[4,1,5,1,1,1] 111000110000=>000011000111=>[5,1,4,1,1,1] 111001100000=>000001100111=>[6,1,3,1,1,1] 111010000100=>001000010111=>[3,5,2,1,1,1] 111010010000=>000010010111=>[5,3,2,1,1,1] 111011000000=>000000110111=>[7,1,2,1,1,1] 10111010000=>00001011101=>[5,2,1,1,2,1] 10111101000=>00010111101=>[4,2,1,1,1,2,1] 10111110100=>00101111101=>[3,2,1,1,1,1,2,1] 11111011000=>00011011111=>[4,1,2,1,1,1,1,1] 11010000010=>01000001011=>[2,6,2,1,1] 11101010101=>10101010111=>[1,2,2,2,2,1,1,1] 01110111111=>11111101110=>[1,1,1,1,1,1,2,1,1,2] 110010000100=>001000010011=>[3,5,3,1,1] 101001000100=>001000100101=>[3,4,3,2,1] 101000010100=>001010000101=>[3,2,5,2,1] 101010000100=>001000010101=>[3,5,2,2,1] 0111101100=>0011011110=>[3,1,2,1,1,1,2] 0110111100=>0011110110=>[3,1,1,1,2,1,2] 0000110000=>0000110000=>[5,1,5] 000000001100=>001100000000=>[3,1,9] 000000110000=>000011000000=>[5,1,7] 000000111100=>001111000000=>[3,1,1,1,7] 000000100100=>001001000000=>[3,3,7] 000011000000=>000000110000=>[7,1,5] 000011001100=>001100110000=>[3,1,3,1,5] 000011110000=>000011110000=>[5,1,1,1,5] 000011100100=>001001110000=>[3,3,1,1,5] 000010010000=>000010010000=>[5,3,5] 000010011100=>001110010000=>[3,1,1,3,5] 000010000100=>001000010000=>[3,5,5] 000010110100=>001011010000=>[3,2,1,2,5] 001100000000=>000000001100=>[9,1,3] 001100001100=>001100001100=>[3,1,5,1,3] 001100110000=>000011001100=>[5,1,3,1,3] 001100100100=>001001001100=>[3,3,3,1,3] 001111000000=>000000111100=>[7,1,1,1,3] 001111111100=>001111111100=>[3,1,1,1,1,1,1,1,3] 001110010000=>000010011100=>[5,3,1,1,3] 001110000100=>001000011100=>[3,5,1,1,3] 001001000000=>000000100100=>[7,3,3] 001001001100=>001100100100=>[3,1,3,3,3] 001001110000=>000011100100=>[5,1,1,3,3] 001001100100=>001001100100=>[3,3,1,3,3] 001000010000=>000010000100=>[5,5,3] 001000011100=>001110000100=>[3,1,1,5,3] 001000000100=>001000000100=>[3,7,3] 001000110100=>001011000100=>[3,2,1,4,3] 001011010000=>000010110100=>[5,2,1,2,3] 001011000100=>001000110100=>[3,4,1,2,3] 001010010100=>001010010100=>[3,2,3,2,3] 111001000000=>000000100111=>[7,3,1,1,1] 111000000100=>001000000111=>[3,7,1,1,1] 100100000000=>000000001001=>[9,3,1] 100100001100=>001100001001=>[3,1,5,3,1] 100100110000=>000011001001=>[5,1,3,3,1] 100111000000=>000000111001=>[7,1,1,3,1] 100110000100=>001000011001=>[3,5,1,3,1] 100001100100=>001001100001=>[3,3,1,5,1] 100011000100=>001000110001=>[3,4,1,4,1] 101101000000=>000000101101=>[7,2,1,2,1] 101100000100=>001000001101=>[3,6,1,2,1] 101001010000=>000010100101=>[5,2,3,2,1] 101001011100=>001110100101=>[3,1,1,2,3,2,1] 11111100011=>11000111111=>[1,1,4,1,1,1,1,1,1] 11110001111=>11110001111=>[1,1,1,1,4,1,1,1,1] 11110001000=>00010001111=>[4,4,1,1,1,1] 11110000011=>11000001111=>[1,1,6,1,1,1,1] 11110001110=>01110001111=>[2,1,1,4,1,1,1,1] 11110111000=>00011101111=>[4,1,1,2,1,1,1,1] 11000111000=>00011100011=>[4,1,1,4,1,1] 11000100011=>11000100011=>[1,1,4,4,1,1] 11000111011=>11011100011=>[1,1,2,1,1,4,1,1] 11011100011=>11000111011=>[1,1,4,1,1,2,1,1] 11011111000=>00011111011=>[4,1,1,1,1,2,1,1] 11010001011=>11010001011=>[1,1,2,4,2,1,1] 00011111000=>00011111000=>[4,1,1,1,1,4] 00011100011=>11000111000=>[1,1,4,1,1,4] 00011100000=>00000111000=>[6,1,1,4] 00011101110=>01110111000=>[2,1,1,2,1,1,4] 00010001111=>11110001000=>[1,1,1,1,4,4] 00010000011=>11000001000=>[1,1,6,4] 00010001110=>01110001000=>[2,1,1,4,4] 00010111000=>00011101000=>[4,1,1,2,4] 00000111000=>00011100000=>[4,1,1,6] 00000100011=>11000100000=>[1,1,4,6] 00000111011=>11011100000=>[1,1,2,1,1,6] 00011101111=>11110111000=>[1,1,1,1,2,1,1,4] 00011101000=>00010111000=>[4,2,1,1,4] 00011111011=>11011111000=>[1,1,2,1,1,1,1,4] 00011100010=>01000111000=>[2,4,1,1,4] 00010111010=>01011101000=>[2,2,1,1,2,4] 01110111000=>00011101110=>[4,1,1,2,1,1,2] 01110100011=>11000101110=>[1,1,4,2,1,1,2] 01110001111=>11110001110=>[1,1,1,1,4,1,1,2] 01110001000=>00010001110=>[4,4,1,1,2] 01110000011=>11000001110=>[1,1,6,1,1,2] 01110001110=>01110001110=>[2,1,1,4,1,1,2] 01110111110=>01111101110=>[2,1,1,1,1,2,1,1,2] 01110100010=>01000101110=>[2,4,2,1,1,2] 01111100011=>11000111110=>[1,1,4,1,1,1,1,2] 01111101110=>01110111110=>[2,1,1,2,1,1,1,1,2] 01110001011=>11010001110=>[1,1,2,4,1,1,2] 01110000010=>01000001110=>[2,6,1,1,2] 01000100011=>11000100010=>[1,1,4,4,2] 01000101110=>01110100010=>[2,1,1,2,4,2] 01000111000=>00011100010=>[4,1,1,4,2] 01000111110=>01111100010=>[2,1,1,1,1,4,2] 01000001110=>01110000010=>[2,1,1,6,2] 01000111010=>01011100010=>[2,2,1,1,4,2] 01011101000=>00010111010=>[4,2,1,1,2,2] 01011100010=>01000111010=>[2,4,1,1,2,2] 01011111010=>01011111010=>[2,2,1,1,1,1,2,2] 0000100001=>1000010000=>[1,5,5] 000000001001=>100100000000=>[1,3,9] 000000111001=>100111000000=>[1,3,1,1,7] 000000100111=>111001000000=>[1,1,1,3,7] 000000100001=>100001000000=>[1,5,7] 000000101101=>101101000000=>[1,2,1,2,7] 000011001001=>100100110000=>[1,3,3,1,5] 000011100001=>100001110000=>[1,5,1,1,5] 000010011001=>100110010000=>[1,3,1,3,5] 000010000111=>111000010000=>[1,1,1,5,5] 000010000001=>100000010000=>[1,7,5] 000010001101=>101100010000=>[1,2,1,4,5] 000010100101=>101001010000=>[1,2,3,2,5] 001100001001=>100100001100=>[1,3,5,1,3] 001100100001=>100001001100=>[1,5,3,1,3] 001111111001=>100111111100=>[1,3,1,1,1,1,1,1,3] 001111100111=>111001111100=>[1,1,1,3,1,1,1,1,3] 001111101101=>101101111100=>[1,2,1,2,1,1,1,1,3] 001110011111=>111110011100=>[1,1,1,1,1,3,1,1,3] 001110000001=>100000011100=>[1,7,1,1,3] 001110110111=>111011011100=>[1,1,1,2,1,2,1,1,3] 001110111101=>101111011100=>[1,2,1,1,1,2,1,1,3] 001001000011=>110000100100=>[1,1,5,3,3] 001001001001=>100100100100=>[1,3,3,3,3] 001001111111=>111111100100=>[1,1,1,1,1,1,1,3,3] 001001100001=>100001100100=>[1,5,1,3,3] 001000010011=>110010000100=>[1,1,3,5,3] 001000011001=>100110000100=>[1,3,1,5,3] 001000000111=>111000000100=>[1,1,1,7,3] 001000000001=>100000000100=>[1,9,3] 001000001101=>101100000100=>[1,2,1,6,3] 001000100101=>101001000100=>[1,2,3,4,3] 001011011111=>111110110100=>[1,1,1,1,1,2,1,2,3] 001011000001=>100000110100=>[1,6,1,2,3] 001011110111=>111011110100=>[1,1,1,2,1,1,1,2,3] 001011111101=>101111110100=>[1,2,1,1,1,1,1,2,3] 001010000101=>101000010100=>[1,2,5,2,3] 111110111100=>001111011111=>[3,1,1,1,2,1,1,1,1,1] 01001000110111=>11101100010010=>[1,1,1,2,1,4,3,2] 01001000101111=>11110100010010=>[1,1,1,1,2,4,3,2] 00110000101111=>11110100001100=>[1,1,1,1,2,5,1,3] 00110001001111=>11110010001100=>[1,1,1,1,3,4,1,3] 0000001001111111=>1111111001000000=>[1,1,1,1,1,1,1,3,7] 000000010011111111=>111111110010000000=>[1,1,1,1,1,1,1,1,3,8] 01010000110111=>11101100001010=>[1,1,1,2,1,5,2,2] 101110010110=>011010011101=>[2,1,2,3,1,1,2,1] 101100110110=>011011001101=>[2,1,2,1,3,1,2,1] 10000001111111=>11111110000001=>[1,1,1,1,1,1,1,7,1] 10000011011111=>11111011000001=>[1,1,1,1,1,2,1,6,1] 10000011110111=>11101111000001=>[1,1,1,2,1,1,1,6,1] 10001001011111=>11111010010001=>[1,1,1,1,1,2,3,4,1] 10001001110111=>11101110010001=>[1,1,1,2,1,1,3,4,1] 10100001011111=>11111010000101=>[1,1,1,1,1,2,5,2,1] 1000001001011111=>1111101001000001=>[1,1,1,1,1,2,3,6,1] 00000000100111111111=>11111111100100000000=>[1,1,1,1,1,1,1,1,1,3,9] 0000000001001111111111=>1111111111001000000000=>[1,1,1,1,1,1,1,1,1,1,3,10] 01010100110=>01100101010=>[2,1,3,2,2,2] 101011111100=>001111110101=>[3,1,1,1,1,1,2,2,1] 101011101101=>101101110101=>[1,2,1,2,1,1,2,2,1] 101110101101=>101101011101=>[1,2,1,2,2,1,1,2,1] 111010101101=>101101010111=>[1,2,1,2,2,2,1,1,1] 00000101011=>11010100000=>[1,1,2,2,6] 00111101011=>11010111100=>[1,1,2,2,1,1,1,3] 00100001011=>11010000100=>[1,1,2,5,3] 00101111011=>11011110100=>[1,1,2,1,1,1,2,3] 00101000011=>11000010100=>[1,1,5,2,3] 00101011111=>11111010100=>[1,1,1,1,1,2,2,3] 00110101010=>01010101100=>[2,2,2,2,1,3] 00101101010=>01010110100=>[2,2,2,1,2,3] 00101011010=>01011010100=>[2,2,1,2,2,3] 00101010110=>01101010100=>[2,1,2,2,2,3] 00001101110=>01110110000=>[2,1,1,2,1,5] 100111000110=>011000111001=>[2,1,4,1,1,3,1] 101101000110=>011000101101=>[2,1,4,2,1,2,1] 100111010010=>010010111001=>[2,3,2,1,1,3,1] 111000000000=>000000000111=>[10,1,1,1] 100110000000=>000000011001=>[8,1,3,1] 100001100000=>000001100001=>[6,1,5,1] 111111111000=>000111111111=>[4,1,1,1,1,1,1,1,1,1] 100110000110=>011000011001=>[2,1,5,1,3,1] 111111100110=>011001111111=>[2,1,3,1,1,1,1,1,1,1] 111110011110=>011110011111=>[2,1,1,1,3,1,1,1,1,1] 101100010110=>011010001101=>[2,1,2,4,1,2,1] 11101011010=>01011010111=>[2,2,1,2,2,1,1,1] 11101010110=>01101010111=>[2,1,2,2,2,1,1,1] 11101101010=>01010110111=>[2,2,2,1,2,1,1,1] 10101011000=>00011010101=>[4,1,2,2,2,1] 10101101000=>00010110101=>[4,2,1,2,2,1] 10110101000=>00010101101=>[4,2,2,1,2,1] 0010001000111111=>1111110001000100=>[1,1,1,1,1,1,4,4,3] 101100000110=>011000001101=>[2,1,6,1,2,1] 101001000110=>011000100101=>[2,1,4,3,2,1] 101100000000=>000000001101=>[9,1,2,1] 100011000000=>000000110001=>[7,1,4,1] 101001000000=>000000100101=>[7,3,2,1] 101111111100=>001111111101=>[3,1,1,1,1,1,1,1,2,1] 101110011100=>001110011101=>[3,1,1,3,1,1,2,1] 101000011100=>001110000101=>[3,1,1,5,2,1] 101000000100=>001000000101=>[3,7,2,1] 101110110100=>001011011101=>[3,2,1,2,1,1,2,1] 01001010110=>01101010010=>[2,1,2,2,3,2] 01010101110=>01110101010=>[2,1,1,2,2,2,2]