=>

0=>[2] 1=>[1,1] 00=>[3] 01=>[2,1] 10=>[1,2] 11=>[1,1,1] 000=>[4] 001=>[3,1] 010=>[2,2] 011=>[2,1,1] 100=>[1,3] 101=>[1,2,1] 110=>[1,1,2] 111=>[1,1,1,1] 0000=>[5] 0001=>[4,1] 0010=>[3,2] 0011=>[3,1,1] 0100=>[2,3] 0101=>[2,2,1] 0110=>[2,1,2] 0111=>[2,1,1,1] 1000=>[1,4] 1001=>[1,3,1] 1010=>[1,2,2] 1011=>[1,2,1,1] 1100=>[1,1,3] 1101=>[1,1,2,1] 1110=>[1,1,1,2] 1111=>[1,1,1,1,1] 00000=>[6] 00001=>[5,1] 00010=>[4,2] 00011=>[4,1,1] 00100=>[3,3] 00101=>[3,2,1] 00110=>[3,1,2] 00111=>[3,1,1,1] 01000=>[2,4] 01001=>[2,3,1] 01010=>[2,2,2] 01011=>[2,2,1,1] 01100=>[2,1,3] 01101=>[2,1,2,1] 01110=>[2,1,1,2] 01111=>[2,1,1,1,1] 10000=>[1,5] 10001=>[1,4,1] 10010=>[1,3,2] 10011=>[1,3,1,1] 10100=>[1,2,3] 10101=>[1,2,2,1] 10110=>[1,2,1,2] 10111=>[1,2,1,1,1] 11000=>[1,1,4] 11001=>[1,1,3,1] 11010=>[1,1,2,2] 11011=>[1,1,2,1,1] 11100=>[1,1,1,3] 11101=>[1,1,1,2,1] 11110=>[1,1,1,1,2] 11111=>[1,1,1,1,1,1] 000000=>[7] 000001=>[6,1] 000010=>[5,2] 000011=>[5,1,1] 000100=>[4,3] 000101=>[4,2,1] 000110=>[4,1,2] 000111=>[4,1,1,1] 001000=>[3,4] 001001=>[3,3,1] 001010=>[3,2,2] 001011=>[3,2,1,1] 001100=>[3,1,3] 001101=>[3,1,2,1] 001110=>[3,1,1,2] 001111=>[3,1,1,1,1] 010000=>[2,5] 010001=>[2,4,1] 010010=>[2,3,2] 010011=>[2,3,1,1] 010100=>[2,2,3] 010101=>[2,2,2,1] 010110=>[2,2,1,2] 010111=>[2,2,1,1,1] 011000=>[2,1,4] 011001=>[2,1,3,1] 011010=>[2,1,2,2] 011011=>[2,1,2,1,1] 011100=>[2,1,1,3] 011101=>[2,1,1,2,1] 011110=>[2,1,1,1,2] 011111=>[2,1,1,1,1,1] 100000=>[1,6] 100001=>[1,5,1] 100010=>[1,4,2] 100011=>[1,4,1,1] 100100=>[1,3,3] 100101=>[1,3,2,1] 100110=>[1,3,1,2] 100111=>[1,3,1,1,1] 101000=>[1,2,4] 101001=>[1,2,3,1] 101010=>[1,2,2,2] 101011=>[1,2,2,1,1] 101100=>[1,2,1,3] 101101=>[1,2,1,2,1] 101110=>[1,2,1,1,2] 101111=>[1,2,1,1,1,1] 110000=>[1,1,5] 110001=>[1,1,4,1] 110010=>[1,1,3,2] 110011=>[1,1,3,1,1] 110100=>[1,1,2,3] 110101=>[1,1,2,2,1] 110110=>[1,1,2,1,2] 110111=>[1,1,2,1,1,1] 111000=>[1,1,1,4] 111001=>[1,1,1,3,1] 111010=>[1,1,1,2,2] 111011=>[1,1,1,2,1,1] 111100=>[1,1,1,1,3] 111101=>[1,1,1,1,2,1] 111110=>[1,1,1,1,1,2] 111111=>[1,1,1,1,1,1,1] 0000000=>[8] 0000001=>[7,1] 0000010=>[6,2] 0000011=>[6,1,1] 0000100=>[5,3] 0000101=>[5,2,1] 0000110=>[5,1,2] 0000111=>[5,1,1,1] 0001000=>[4,4] 0001001=>[4,3,1] 0001010=>[4,2,2] 0001011=>[4,2,1,1] 0001100=>[4,1,3] 0001101=>[4,1,2,1] 0001110=>[4,1,1,2] 0001111=>[4,1,1,1,1] 0010000=>[3,5] 0010001=>[3,4,1] 0010010=>[3,3,2] 0010011=>[3,3,1,1] 0010100=>[3,2,3] 0010101=>[3,2,2,1] 0010110=>[3,2,1,2] 0010111=>[3,2,1,1,1] 0011000=>[3,1,4] 0011001=>[3,1,3,1] 0011010=>[3,1,2,2] 0011011=>[3,1,2,1,1] 0011100=>[3,1,1,3] 0011101=>[3,1,1,2,1] 0011110=>[3,1,1,1,2] 0011111=>[3,1,1,1,1,1] 0100000=>[2,6] 0100001=>[2,5,1] 0100010=>[2,4,2] 0100011=>[2,4,1,1] 0100100=>[2,3,3] 0100101=>[2,3,2,1] 0100110=>[2,3,1,2] 0100111=>[2,3,1,1,1] 0101000=>[2,2,4] 0101001=>[2,2,3,1] 0101010=>[2,2,2,2] 0101011=>[2,2,2,1,1] 0101100=>[2,2,1,3] 0101101=>[2,2,1,2,1] 0101110=>[2,2,1,1,2] 0101111=>[2,2,1,1,1,1] 0110000=>[2,1,5] 0110001=>[2,1,4,1] 0110010=>[2,1,3,2] 0110011=>[2,1,3,1,1] 0110100=>[2,1,2,3] 0110101=>[2,1,2,2,1] 0110110=>[2,1,2,1,2] 0110111=>[2,1,2,1,1,1] 0111000=>[2,1,1,4] 0111001=>[2,1,1,3,1] 0111010=>[2,1,1,2,2] 0111011=>[2,1,1,2,1,1] 0111100=>[2,1,1,1,3] 0111101=>[2,1,1,1,2,1] 0111110=>[2,1,1,1,1,2] 0111111=>[2,1,1,1,1,1,1] 1000000=>[1,7] 1000001=>[1,6,1] 1000010=>[1,5,2] 1000011=>[1,5,1,1] 1000100=>[1,4,3] 1000101=>[1,4,2,1] 1000110=>[1,4,1,2] 1000111=>[1,4,1,1,1] 1001000=>[1,3,4] 1001001=>[1,3,3,1] 1001010=>[1,3,2,2] 1001011=>[1,3,2,1,1] 1001100=>[1,3,1,3] 1001101=>[1,3,1,2,1] 1001110=>[1,3,1,1,2] 1001111=>[1,3,1,1,1,1] 1010000=>[1,2,5] 1010001=>[1,2,4,1] 1010010=>[1,2,3,2] 1010011=>[1,2,3,1,1] 1010100=>[1,2,2,3] 1010101=>[1,2,2,2,1] 1010110=>[1,2,2,1,2] 1010111=>[1,2,2,1,1,1] 1011000=>[1,2,1,4] 1011001=>[1,2,1,3,1] 1011010=>[1,2,1,2,2] 1011011=>[1,2,1,2,1,1] 1011100=>[1,2,1,1,3] 1011101=>[1,2,1,1,2,1] 1011110=>[1,2,1,1,1,2] 1011111=>[1,2,1,1,1,1,1] 1100000=>[1,1,6] 1100001=>[1,1,5,1] 1100010=>[1,1,4,2] 1100011=>[1,1,4,1,1] 1100100=>[1,1,3,3] 1100101=>[1,1,3,2,1] 1100110=>[1,1,3,1,2] 1100111=>[1,1,3,1,1,1] 1101000=>[1,1,2,4] 1101001=>[1,1,2,3,1] 1101010=>[1,1,2,2,2] 1101011=>[1,1,2,2,1,1] 1101100=>[1,1,2,1,3] 1101101=>[1,1,2,1,2,1] 1101110=>[1,1,2,1,1,2] 1101111=>[1,1,2,1,1,1,1] 1110000=>[1,1,1,5] 1110001=>[1,1,1,4,1] 1110010=>[1,1,1,3,2] 1110011=>[1,1,1,3,1,1] 1110100=>[1,1,1,2,3] 1110101=>[1,1,1,2,2,1] 1110110=>[1,1,1,2,1,2] 1110111=>[1,1,1,2,1,1,1] 1111000=>[1,1,1,1,4] 1111001=>[1,1,1,1,3,1] 1111010=>[1,1,1,1,2,2] 1111011=>[1,1,1,1,2,1,1] 1111100=>[1,1,1,1,1,3] 1111101=>[1,1,1,1,1,2,1] 1111110=>[1,1,1,1,1,1,2] 1111111=>[1,1,1,1,1,1,1,1] 00000000=>[9] 00000001=>[8,1] 00000010=>[7,2] 00000011=>[7,1,1] 00000100=>[6,3] 00000101=>[6,2,1] 00000110=>[6,1,2] 00000111=>[6,1,1,1] 00001000=>[5,4] 00001001=>[5,3,1] 00001010=>[5,2,2] 00001011=>[5,2,1,1] 00001100=>[5,1,3] 00001101=>[5,1,2,1] 00001110=>[5,1,1,2] 00001111=>[5,1,1,1,1] 00010000=>[4,5] 00010001=>[4,4,1] 00010010=>[4,3,2] 00010011=>[4,3,1,1] 00010100=>[4,2,3] 00010101=>[4,2,2,1] 00010110=>[4,2,1,2] 00010111=>[4,2,1,1,1] 00011000=>[4,1,4] 00011001=>[4,1,3,1] 00011010=>[4,1,2,2] 00011011=>[4,1,2,1,1] 00011100=>[4,1,1,3] 00011101=>[4,1,1,2,1] 00011110=>[4,1,1,1,2] 00011111=>[4,1,1,1,1,1] 00100000=>[3,6] 00100001=>[3,5,1] 00100010=>[3,4,2] 00100011=>[3,4,1,1] 00100100=>[3,3,3] 00100101=>[3,3,2,1] 00100110=>[3,3,1,2] 00100111=>[3,3,1,1,1] 00101000=>[3,2,4] 00101001=>[3,2,3,1] 00101010=>[3,2,2,2] 00101011=>[3,2,2,1,1] 00101100=>[3,2,1,3] 00101101=>[3,2,1,2,1] 00101110=>[3,2,1,1,2] 00101111=>[3,2,1,1,1,1] 00110000=>[3,1,5] 00110001=>[3,1,4,1] 00110010=>[3,1,3,2] 00110011=>[3,1,3,1,1] 00110100=>[3,1,2,3] 00110101=>[3,1,2,2,1] 00110110=>[3,1,2,1,2] 00110111=>[3,1,2,1,1,1] 00111000=>[3,1,1,4] 00111001=>[3,1,1,3,1] 00111010=>[3,1,1,2,2] 00111011=>[3,1,1,2,1,1] 00111100=>[3,1,1,1,3] 00111101=>[3,1,1,1,2,1] 00111110=>[3,1,1,1,1,2] 00111111=>[3,1,1,1,1,1,1] 01000000=>[2,7] 01000001=>[2,6,1] 01000010=>[2,5,2] 01000011=>[2,5,1,1] 01000100=>[2,4,3] 01000101=>[2,4,2,1] 01000110=>[2,4,1,2] 01000111=>[2,4,1,1,1] 01001000=>[2,3,4] 01001001=>[2,3,3,1] 01001010=>[2,3,2,2] 01001011=>[2,3,2,1,1] 01001100=>[2,3,1,3] 01001101=>[2,3,1,2,1] 01001110=>[2,3,1,1,2] 01001111=>[2,3,1,1,1,1] 01010000=>[2,2,5] 01010001=>[2,2,4,1] 01010010=>[2,2,3,2] 01010011=>[2,2,3,1,1] 01010100=>[2,2,2,3] 01010101=>[2,2,2,2,1] 01010110=>[2,2,2,1,2] 01010111=>[2,2,2,1,1,1] 01011000=>[2,2,1,4] 01011001=>[2,2,1,3,1] 01011010=>[2,2,1,2,2] 01011011=>[2,2,1,2,1,1] 01011100=>[2,2,1,1,3] 01011101=>[2,2,1,1,2,1] 01011110=>[2,2,1,1,1,2] 01011111=>[2,2,1,1,1,1,1] 01100000=>[2,1,6] 01100001=>[2,1,5,1] 01100010=>[2,1,4,2] 01100011=>[2,1,4,1,1] 01100100=>[2,1,3,3] 01100101=>[2,1,3,2,1] 01100110=>[2,1,3,1,2] 01100111=>[2,1,3,1,1,1] 01101000=>[2,1,2,4] 01101001=>[2,1,2,3,1] 01101010=>[2,1,2,2,2] 01101011=>[2,1,2,2,1,1] 01101100=>[2,1,2,1,3] 01101101=>[2,1,2,1,2,1] 01101110=>[2,1,2,1,1,2] 01101111=>[2,1,2,1,1,1,1] 01110000=>[2,1,1,5] 01110001=>[2,1,1,4,1] 01110010=>[2,1,1,3,2] 01110011=>[2,1,1,3,1,1] 01110100=>[2,1,1,2,3] 01110101=>[2,1,1,2,2,1] 01110110=>[2,1,1,2,1,2] 01110111=>[2,1,1,2,1,1,1] 01111000=>[2,1,1,1,4] 01111001=>[2,1,1,1,3,1] 01111010=>[2,1,1,1,2,2] 01111011=>[2,1,1,1,2,1,1] 01111100=>[2,1,1,1,1,3] 01111101=>[2,1,1,1,1,2,1] 01111110=>[2,1,1,1,1,1,2] 01111111=>[2,1,1,1,1,1,1,1] 10000000=>[1,8] 10000001=>[1,7,1] 10000010=>[1,6,2] 10000011=>[1,6,1,1] 10000100=>[1,5,3] 10000101=>[1,5,2,1] 10000110=>[1,5,1,2] 10000111=>[1,5,1,1,1] 10001000=>[1,4,4] 10001001=>[1,4,3,1] 10001010=>[1,4,2,2] 10001011=>[1,4,2,1,1] 10001100=>[1,4,1,3] 10001101=>[1,4,1,2,1] 10001110=>[1,4,1,1,2] 10001111=>[1,4,1,1,1,1] 10010000=>[1,3,5] 10010001=>[1,3,4,1] 10010010=>[1,3,3,2] 10010011=>[1,3,3,1,1] 10010100=>[1,3,2,3] 10010101=>[1,3,2,2,1] 10010110=>[1,3,2,1,2] 10010111=>[1,3,2,1,1,1] 10011000=>[1,3,1,4] 10011001=>[1,3,1,3,1] 10011010=>[1,3,1,2,2] 10011011=>[1,3,1,2,1,1] 10011100=>[1,3,1,1,3] 10011101=>[1,3,1,1,2,1] 10011110=>[1,3,1,1,1,2] 10011111=>[1,3,1,1,1,1,1] 10100000=>[1,2,6] 10100001=>[1,2,5,1] 10100010=>[1,2,4,2] 10100011=>[1,2,4,1,1] 10100100=>[1,2,3,3] 10100101=>[1,2,3,2,1] 10100110=>[1,2,3,1,2] 10100111=>[1,2,3,1,1,1] 10101000=>[1,2,2,4] 10101001=>[1,2,2,3,1] 10101010=>[1,2,2,2,2] 10101011=>[1,2,2,2,1,1] 10101100=>[1,2,2,1,3] 10101101=>[1,2,2,1,2,1] 10101110=>[1,2,2,1,1,2] 10101111=>[1,2,2,1,1,1,1] 10110000=>[1,2,1,5] 10110001=>[1,2,1,4,1] 10110010=>[1,2,1,3,2] 10110011=>[1,2,1,3,1,1] 10110100=>[1,2,1,2,3] 10110101=>[1,2,1,2,2,1] 10110110=>[1,2,1,2,1,2] 10110111=>[1,2,1,2,1,1,1] 10111000=>[1,2,1,1,4] 10111001=>[1,2,1,1,3,1] 10111010=>[1,2,1,1,2,2] 10111011=>[1,2,1,1,2,1,1] 10111100=>[1,2,1,1,1,3] 10111101=>[1,2,1,1,1,2,1] 10111110=>[1,2,1,1,1,1,2] 10111111=>[1,2,1,1,1,1,1,1] 11000000=>[1,1,7] 11000001=>[1,1,6,1] 11000010=>[1,1,5,2] 11000011=>[1,1,5,1,1] 11000100=>[1,1,4,3] 11000101=>[1,1,4,2,1] 11000110=>[1,1,4,1,2] 11000111=>[1,1,4,1,1,1] 11001000=>[1,1,3,4] 11001001=>[1,1,3,3,1] 11001010=>[1,1,3,2,2] 11001011=>[1,1,3,2,1,1] 11001100=>[1,1,3,1,3] 11001101=>[1,1,3,1,2,1] 11001110=>[1,1,3,1,1,2] 11001111=>[1,1,3,1,1,1,1] 11010000=>[1,1,2,5] 11010001=>[1,1,2,4,1] 11010010=>[1,1,2,3,2] 11010011=>[1,1,2,3,1,1] 11010100=>[1,1,2,2,3] 11010101=>[1,1,2,2,2,1] 11010110=>[1,1,2,2,1,2] 11010111=>[1,1,2,2,1,1,1] 11011000=>[1,1,2,1,4] 11011001=>[1,1,2,1,3,1] 11011010=>[1,1,2,1,2,2] 11011011=>[1,1,2,1,2,1,1] 11011100=>[1,1,2,1,1,3] 11011101=>[1,1,2,1,1,2,1] 11011110=>[1,1,2,1,1,1,2] 11011111=>[1,1,2,1,1,1,1,1] 11100000=>[1,1,1,6] 11100001=>[1,1,1,5,1] 11100010=>[1,1,1,4,2] 11100011=>[1,1,1,4,1,1] 11100100=>[1,1,1,3,3] 11100101=>[1,1,1,3,2,1] 11100110=>[1,1,1,3,1,2] 11100111=>[1,1,1,3,1,1,1] 11101000=>[1,1,1,2,4] 11101001=>[1,1,1,2,3,1] 11101010=>[1,1,1,2,2,2] 11101011=>[1,1,1,2,2,1,1] 11101100=>[1,1,1,2,1,3] 11101101=>[1,1,1,2,1,2,1] 11101110=>[1,1,1,2,1,1,2] 11101111=>[1,1,1,2,1,1,1,1] 11110000=>[1,1,1,1,5] 11110001=>[1,1,1,1,4,1] 11110010=>[1,1,1,1,3,2] 11110011=>[1,1,1,1,3,1,1] 11110100=>[1,1,1,1,2,3] 11110101=>[1,1,1,1,2,2,1] 11110110=>[1,1,1,1,2,1,2] 11110111=>[1,1,1,1,2,1,1,1] 11111000=>[1,1,1,1,1,4] 11111001=>[1,1,1,1,1,3,1] 11111010=>[1,1,1,1,1,2,2] 11111011=>[1,1,1,1,1,2,1,1] 11111100=>[1,1,1,1,1,1,3] 11111101=>[1,1,1,1,1,1,2,1] 11111110=>[1,1,1,1,1,1,1,2] 11111111=>[1,1,1,1,1,1,1,1,1] 000000000=>[10] 000000001=>[9,1] 000000010=>[8,2] 000000011=>[8,1,1] 000000100=>[7,3] 000000101=>[7,2,1] 000000110=>[7,1,2] 000000111=>[7,1,1,1] 000001000=>[6,4] 000001001=>[6,3,1] 000001010=>[6,2,2] 000001011=>[6,2,1,1] 000001100=>[6,1,3] 000001101=>[6,1,2,1] 000001110=>[6,1,1,2] 000001111=>[6,1,1,1,1] 000010000=>[5,5] 000010001=>[5,4,1] 000010010=>[5,3,2] 000010011=>[5,3,1,1] 000010100=>[5,2,3] 000010101=>[5,2,2,1] 000010110=>[5,2,1,2] 000010111=>[5,2,1,1,1] 000011000=>[5,1,4] 000011001=>[5,1,3,1] 000011010=>[5,1,2,2] 000011011=>[5,1,2,1,1] 000011100=>[5,1,1,3] 000011101=>[5,1,1,2,1] 000011110=>[5,1,1,1,2] 000011111=>[5,1,1,1,1,1] 000100000=>[4,6] 000100001=>[4,5,1] 000100010=>[4,4,2] 000100011=>[4,4,1,1] 000100100=>[4,3,3] 000100101=>[4,3,2,1] 000100110=>[4,3,1,2] 000100111=>[4,3,1,1,1] 000101000=>[4,2,4] 000101001=>[4,2,3,1] 000101010=>[4,2,2,2] 000101011=>[4,2,2,1,1] 000101100=>[4,2,1,3] 000101101=>[4,2,1,2,1] 000101110=>[4,2,1,1,2] 000101111=>[4,2,1,1,1,1] 000110000=>[4,1,5] 000110001=>[4,1,4,1] 000110010=>[4,1,3,2] 000110011=>[4,1,3,1,1] 000110100=>[4,1,2,3] 000110101=>[4,1,2,2,1] 000110110=>[4,1,2,1,2] 000110111=>[4,1,2,1,1,1] 000111000=>[4,1,1,4] 000111001=>[4,1,1,3,1] 000111010=>[4,1,1,2,2] 000111011=>[4,1,1,2,1,1] 000111100=>[4,1,1,1,3] 000111101=>[4,1,1,1,2,1] 000111110=>[4,1,1,1,1,2] 000111111=>[4,1,1,1,1,1,1] 001000000=>[3,7] 001000001=>[3,6,1] 001000010=>[3,5,2] 001000011=>[3,5,1,1] 001000100=>[3,4,3] 001000101=>[3,4,2,1] 001000110=>[3,4,1,2] 001000111=>[3,4,1,1,1] 001001000=>[3,3,4] 001001001=>[3,3,3,1] 001001010=>[3,3,2,2] 001001011=>[3,3,2,1,1] 001001100=>[3,3,1,3] 001001101=>[3,3,1,2,1] 001001110=>[3,3,1,1,2] 001001111=>[3,3,1,1,1,1] 001010000=>[3,2,5] 001010001=>[3,2,4,1] 001010010=>[3,2,3,2] 001010011=>[3,2,3,1,1] 001010100=>[3,2,2,3] 001010101=>[3,2,2,2,1] 001010110=>[3,2,2,1,2] 001010111=>[3,2,2,1,1,1] 001011000=>[3,2,1,4] 001011001=>[3,2,1,3,1] 001011010=>[3,2,1,2,2] 001011011=>[3,2,1,2,1,1] 001011100=>[3,2,1,1,3] 001011101=>[3,2,1,1,2,1] 001011110=>[3,2,1,1,1,2] 001011111=>[3,2,1,1,1,1,1] 001100000=>[3,1,6] 001100001=>[3,1,5,1] 001100010=>[3,1,4,2] 001100011=>[3,1,4,1,1] 001100100=>[3,1,3,3] 001100101=>[3,1,3,2,1] 001100110=>[3,1,3,1,2] 001100111=>[3,1,3,1,1,1] 001101000=>[3,1,2,4] 001101001=>[3,1,2,3,1] 001101010=>[3,1,2,2,2] 001101011=>[3,1,2,2,1,1] 001101100=>[3,1,2,1,3] 001101101=>[3,1,2,1,2,1] 001101110=>[3,1,2,1,1,2] 001101111=>[3,1,2,1,1,1,1] 001110000=>[3,1,1,5] 001110001=>[3,1,1,4,1] 001110010=>[3,1,1,3,2] 001110011=>[3,1,1,3,1,1] 001110100=>[3,1,1,2,3] 001110101=>[3,1,1,2,2,1] 001110110=>[3,1,1,2,1,2] 001110111=>[3,1,1,2,1,1,1] 001111000=>[3,1,1,1,4] 001111001=>[3,1,1,1,3,1] 001111010=>[3,1,1,1,2,2] 001111011=>[3,1,1,1,2,1,1] 001111100=>[3,1,1,1,1,3] 001111101=>[3,1,1,1,1,2,1] 001111110=>[3,1,1,1,1,1,2] 001111111=>[3,1,1,1,1,1,1,1] 010000000=>[2,8] 010000001=>[2,7,1] 010000010=>[2,6,2] 010000011=>[2,6,1,1] 010000100=>[2,5,3] 010000101=>[2,5,2,1] 010000110=>[2,5,1,2] 010000111=>[2,5,1,1,1] 010001000=>[2,4,4] 010001001=>[2,4,3,1] 010001010=>[2,4,2,2] 010001011=>[2,4,2,1,1] 010001100=>[2,4,1,3] 010001101=>[2,4,1,2,1] 010001110=>[2,4,1,1,2] 010001111=>[2,4,1,1,1,1] 010010000=>[2,3,5] 010010001=>[2,3,4,1] 010010010=>[2,3,3,2] 010010011=>[2,3,3,1,1] 010010100=>[2,3,2,3] 010010101=>[2,3,2,2,1] 010010110=>[2,3,2,1,2] 010010111=>[2,3,2,1,1,1] 010011000=>[2,3,1,4] 010011001=>[2,3,1,3,1] 010011010=>[2,3,1,2,2] 010011011=>[2,3,1,2,1,1] 010011100=>[2,3,1,1,3] 010011101=>[2,3,1,1,2,1] 010011110=>[2,3,1,1,1,2] 010011111=>[2,3,1,1,1,1,1] 010100000=>[2,2,6] 010100001=>[2,2,5,1] 010100010=>[2,2,4,2] 010100011=>[2,2,4,1,1] 010100100=>[2,2,3,3] 010100101=>[2,2,3,2,1] 010100110=>[2,2,3,1,2] 010100111=>[2,2,3,1,1,1] 010101000=>[2,2,2,4] 010101001=>[2,2,2,3,1] 010101010=>[2,2,2,2,2] 010101011=>[2,2,2,2,1,1] 010101100=>[2,2,2,1,3] 010101101=>[2,2,2,1,2,1] 010101110=>[2,2,2,1,1,2] 010101111=>[2,2,2,1,1,1,1] 010110000=>[2,2,1,5] 010110001=>[2,2,1,4,1] 010110010=>[2,2,1,3,2] 010110011=>[2,2,1,3,1,1] 010110100=>[2,2,1,2,3] 010110101=>[2,2,1,2,2,1] 010110110=>[2,2,1,2,1,2] 010110111=>[2,2,1,2,1,1,1] 010111000=>[2,2,1,1,4] 010111001=>[2,2,1,1,3,1] 010111010=>[2,2,1,1,2,2] 010111011=>[2,2,1,1,2,1,1] 010111100=>[2,2,1,1,1,3] 010111101=>[2,2,1,1,1,2,1] 010111110=>[2,2,1,1,1,1,2] 010111111=>[2,2,1,1,1,1,1,1] 011000000=>[2,1,7] 011000001=>[2,1,6,1] 011000010=>[2,1,5,2] 011000011=>[2,1,5,1,1] 011000100=>[2,1,4,3] 011000101=>[2,1,4,2,1] 011000110=>[2,1,4,1,2] 011000111=>[2,1,4,1,1,1] 011001000=>[2,1,3,4] 011001001=>[2,1,3,3,1] 011001010=>[2,1,3,2,2] 011001011=>[2,1,3,2,1,1] 011001100=>[2,1,3,1,3] 011001101=>[2,1,3,1,2,1] 011001110=>[2,1,3,1,1,2] 011001111=>[2,1,3,1,1,1,1] 011010000=>[2,1,2,5] 011010001=>[2,1,2,4,1] 011010010=>[2,1,2,3,2] 011010011=>[2,1,2,3,1,1] 011010100=>[2,1,2,2,3] 011010101=>[2,1,2,2,2,1] 011010110=>[2,1,2,2,1,2] 011010111=>[2,1,2,2,1,1,1] 011011000=>[2,1,2,1,4] 011011001=>[2,1,2,1,3,1] 011011010=>[2,1,2,1,2,2] 011011011=>[2,1,2,1,2,1,1] 011011100=>[2,1,2,1,1,3] 011011101=>[2,1,2,1,1,2,1] 011011110=>[2,1,2,1,1,1,2] 011011111=>[2,1,2,1,1,1,1,1] 011100000=>[2,1,1,6] 011100001=>[2,1,1,5,1] 011100010=>[2,1,1,4,2] 011100011=>[2,1,1,4,1,1] 011100100=>[2,1,1,3,3] 011100101=>[2,1,1,3,2,1] 011100110=>[2,1,1,3,1,2] 011100111=>[2,1,1,3,1,1,1] 011101000=>[2,1,1,2,4] 011101001=>[2,1,1,2,3,1] 011101010=>[2,1,1,2,2,2] 011101011=>[2,1,1,2,2,1,1] 011101100=>[2,1,1,2,1,3] 011101101=>[2,1,1,2,1,2,1] 011101110=>[2,1,1,2,1,1,2] 011101111=>[2,1,1,2,1,1,1,1] 011110000=>[2,1,1,1,5] 011110001=>[2,1,1,1,4,1] 011110010=>[2,1,1,1,3,2] 011110011=>[2,1,1,1,3,1,1] 011110100=>[2,1,1,1,2,3] 011110101=>[2,1,1,1,2,2,1] 011110110=>[2,1,1,1,2,1,2] 011110111=>[2,1,1,1,2,1,1,1] 011111000=>[2,1,1,1,1,4] 011111001=>[2,1,1,1,1,3,1] 011111010=>[2,1,1,1,1,2,2] 011111011=>[2,1,1,1,1,2,1,1] 011111100=>[2,1,1,1,1,1,3] 011111101=>[2,1,1,1,1,1,2,1] 011111110=>[2,1,1,1,1,1,1,2] 011111111=>[2,1,1,1,1,1,1,1,1] 100000000=>[1,9] 100000001=>[1,8,1] 100000010=>[1,7,2] 100000011=>[1,7,1,1] 100000100=>[1,6,3] 100000101=>[1,6,2,1] 100000110=>[1,6,1,2] 100000111=>[1,6,1,1,1] 100001000=>[1,5,4] 100001001=>[1,5,3,1] 100001010=>[1,5,2,2] 100001011=>[1,5,2,1,1] 100001100=>[1,5,1,3] 100001101=>[1,5,1,2,1] 100001110=>[1,5,1,1,2] 100001111=>[1,5,1,1,1,1] 100010000=>[1,4,5] 100010001=>[1,4,4,1] 100010010=>[1,4,3,2] 100010011=>[1,4,3,1,1] 100010100=>[1,4,2,3] 100010101=>[1,4,2,2,1] 100010110=>[1,4,2,1,2] 100010111=>[1,4,2,1,1,1] 100011000=>[1,4,1,4] 100011001=>[1,4,1,3,1] 100011010=>[1,4,1,2,2] 100011011=>[1,4,1,2,1,1] 100011100=>[1,4,1,1,3] 100011101=>[1,4,1,1,2,1] 100011110=>[1,4,1,1,1,2] 100011111=>[1,4,1,1,1,1,1] 100100000=>[1,3,6] 100100001=>[1,3,5,1] 100100010=>[1,3,4,2] 100100011=>[1,3,4,1,1] 100100100=>[1,3,3,3] 100100101=>[1,3,3,2,1] 100100110=>[1,3,3,1,2] 100100111=>[1,3,3,1,1,1] 100101000=>[1,3,2,4] 100101001=>[1,3,2,3,1] 100101010=>[1,3,2,2,2] 100101011=>[1,3,2,2,1,1] 100101100=>[1,3,2,1,3] 100101101=>[1,3,2,1,2,1] 100101110=>[1,3,2,1,1,2] 100101111=>[1,3,2,1,1,1,1] 100110000=>[1,3,1,5] 100110001=>[1,3,1,4,1] 100110010=>[1,3,1,3,2] 100110011=>[1,3,1,3,1,1] 100110100=>[1,3,1,2,3] 100110101=>[1,3,1,2,2,1] 100110110=>[1,3,1,2,1,2] 100110111=>[1,3,1,2,1,1,1] 100111000=>[1,3,1,1,4] 100111001=>[1,3,1,1,3,1] 100111010=>[1,3,1,1,2,2] 100111011=>[1,3,1,1,2,1,1] 100111100=>[1,3,1,1,1,3] 100111101=>[1,3,1,1,1,2,1] 100111110=>[1,3,1,1,1,1,2] 100111111=>[1,3,1,1,1,1,1,1] 101000000=>[1,2,7] 101000001=>[1,2,6,1] 101000010=>[1,2,5,2] 101000011=>[1,2,5,1,1] 101000100=>[1,2,4,3] 101000101=>[1,2,4,2,1] 101000110=>[1,2,4,1,2] 101000111=>[1,2,4,1,1,1] 101001000=>[1,2,3,4] 101001001=>[1,2,3,3,1] 101001010=>[1,2,3,2,2] 101001011=>[1,2,3,2,1,1] 101001100=>[1,2,3,1,3] 101001101=>[1,2,3,1,2,1] 101001110=>[1,2,3,1,1,2] 101001111=>[1,2,3,1,1,1,1] 101010000=>[1,2,2,5] 101010001=>[1,2,2,4,1] 101010010=>[1,2,2,3,2] 101010011=>[1,2,2,3,1,1] 101010100=>[1,2,2,2,3] 101010101=>[1,2,2,2,2,1] 101010110=>[1,2,2,2,1,2] 101010111=>[1,2,2,2,1,1,1] 101011000=>[1,2,2,1,4] 101011001=>[1,2,2,1,3,1] 101011010=>[1,2,2,1,2,2] 101011011=>[1,2,2,1,2,1,1] 101011100=>[1,2,2,1,1,3] 101011101=>[1,2,2,1,1,2,1] 101011110=>[1,2,2,1,1,1,2] 101011111=>[1,2,2,1,1,1,1,1] 101100000=>[1,2,1,6] 101100001=>[1,2,1,5,1] 101100010=>[1,2,1,4,2] 101100011=>[1,2,1,4,1,1] 101100100=>[1,2,1,3,3] 101100101=>[1,2,1,3,2,1] 101100110=>[1,2,1,3,1,2] 101100111=>[1,2,1,3,1,1,1] 101101000=>[1,2,1,2,4] 101101001=>[1,2,1,2,3,1] 101101010=>[1,2,1,2,2,2] 101101011=>[1,2,1,2,2,1,1] 101101100=>[1,2,1,2,1,3] 101101101=>[1,2,1,2,1,2,1] 101101110=>[1,2,1,2,1,1,2] 101101111=>[1,2,1,2,1,1,1,1] 101110000=>[1,2,1,1,5] 101110001=>[1,2,1,1,4,1] 101110010=>[1,2,1,1,3,2] 101110011=>[1,2,1,1,3,1,1] 101110100=>[1,2,1,1,2,3] 101110101=>[1,2,1,1,2,2,1] 101110110=>[1,2,1,1,2,1,2] 101110111=>[1,2,1,1,2,1,1,1] 101111000=>[1,2,1,1,1,4] 101111001=>[1,2,1,1,1,3,1] 101111010=>[1,2,1,1,1,2,2] 101111011=>[1,2,1,1,1,2,1,1] 101111100=>[1,2,1,1,1,1,3] 101111101=>[1,2,1,1,1,1,2,1] 101111110=>[1,2,1,1,1,1,1,2] 101111111=>[1,2,1,1,1,1,1,1,1] 110000000=>[1,1,8] 110000001=>[1,1,7,1] 110000010=>[1,1,6,2] 110000011=>[1,1,6,1,1] 110000100=>[1,1,5,3] 110000101=>[1,1,5,2,1] 110000110=>[1,1,5,1,2] 110000111=>[1,1,5,1,1,1] 110001000=>[1,1,4,4] 110001001=>[1,1,4,3,1] 110001010=>[1,1,4,2,2] 110001011=>[1,1,4,2,1,1] 110001100=>[1,1,4,1,3] 110001101=>[1,1,4,1,2,1] 110001110=>[1,1,4,1,1,2] 110001111=>[1,1,4,1,1,1,1] 110010000=>[1,1,3,5] 110010001=>[1,1,3,4,1] 110010010=>[1,1,3,3,2] 110010011=>[1,1,3,3,1,1] 110010100=>[1,1,3,2,3] 110010101=>[1,1,3,2,2,1] 110010110=>[1,1,3,2,1,2] 110010111=>[1,1,3,2,1,1,1] 110011000=>[1,1,3,1,4] 110011001=>[1,1,3,1,3,1] 110011010=>[1,1,3,1,2,2] 110011011=>[1,1,3,1,2,1,1] 110011100=>[1,1,3,1,1,3] 110011101=>[1,1,3,1,1,2,1] 110011110=>[1,1,3,1,1,1,2] 110011111=>[1,1,3,1,1,1,1,1] 110100000=>[1,1,2,6] 110100001=>[1,1,2,5,1] 110100010=>[1,1,2,4,2] 110100011=>[1,1,2,4,1,1] 110100100=>[1,1,2,3,3] 110100101=>[1,1,2,3,2,1] 110100110=>[1,1,2,3,1,2] 110100111=>[1,1,2,3,1,1,1] 110101000=>[1,1,2,2,4] 110101001=>[1,1,2,2,3,1] 110101010=>[1,1,2,2,2,2] 110101011=>[1,1,2,2,2,1,1] 110101100=>[1,1,2,2,1,3] 110101101=>[1,1,2,2,1,2,1] 110101110=>[1,1,2,2,1,1,2] 110101111=>[1,1,2,2,1,1,1,1] 110110000=>[1,1,2,1,5] 110110001=>[1,1,2,1,4,1] 110110010=>[1,1,2,1,3,2] 110110011=>[1,1,2,1,3,1,1] 110110100=>[1,1,2,1,2,3] 110110101=>[1,1,2,1,2,2,1] 110110110=>[1,1,2,1,2,1,2] 110110111=>[1,1,2,1,2,1,1,1] 110111000=>[1,1,2,1,1,4] 110111001=>[1,1,2,1,1,3,1] 110111010=>[1,1,2,1,1,2,2] 110111011=>[1,1,2,1,1,2,1,1] 110111100=>[1,1,2,1,1,1,3] 110111101=>[1,1,2,1,1,1,2,1] 110111110=>[1,1,2,1,1,1,1,2] 110111111=>[1,1,2,1,1,1,1,1,1] 111000000=>[1,1,1,7] 111000001=>[1,1,1,6,1] 111000010=>[1,1,1,5,2] 111000011=>[1,1,1,5,1,1] 111000100=>[1,1,1,4,3] 111000101=>[1,1,1,4,2,1] 111000110=>[1,1,1,4,1,2] 111000111=>[1,1,1,4,1,1,1] 111001000=>[1,1,1,3,4] 111001001=>[1,1,1,3,3,1] 111001010=>[1,1,1,3,2,2] 111001011=>[1,1,1,3,2,1,1] 111001100=>[1,1,1,3,1,3] 111001101=>[1,1,1,3,1,2,1] 111001110=>[1,1,1,3,1,1,2] 111001111=>[1,1,1,3,1,1,1,1] 111010000=>[1,1,1,2,5] 111010001=>[1,1,1,2,4,1] 111010010=>[1,1,1,2,3,2] 111010011=>[1,1,1,2,3,1,1] 111010100=>[1,1,1,2,2,3] 111010101=>[1,1,1,2,2,2,1] 111010110=>[1,1,1,2,2,1,2] 111010111=>[1,1,1,2,2,1,1,1] 111011000=>[1,1,1,2,1,4] 111011001=>[1,1,1,2,1,3,1] 111011010=>[1,1,1,2,1,2,2] 111011011=>[1,1,1,2,1,2,1,1] 111011100=>[1,1,1,2,1,1,3] 111011101=>[1,1,1,2,1,1,2,1] 111011110=>[1,1,1,2,1,1,1,2] 111011111=>[1,1,1,2,1,1,1,1,1] 111100000=>[1,1,1,1,6] 111100001=>[1,1,1,1,5,1] 111100010=>[1,1,1,1,4,2] 111100011=>[1,1,1,1,4,1,1] 111100100=>[1,1,1,1,3,3] 111100101=>[1,1,1,1,3,2,1] 111100110=>[1,1,1,1,3,1,2] 111100111=>[1,1,1,1,3,1,1,1] 111101000=>[1,1,1,1,2,4] 111101001=>[1,1,1,1,2,3,1] 111101010=>[1,1,1,1,2,2,2] 111101011=>[1,1,1,1,2,2,1,1] 111101100=>[1,1,1,1,2,1,3] 111101101=>[1,1,1,1,2,1,2,1] 111101110=>[1,1,1,1,2,1,1,2] 111101111=>[1,1,1,1,2,1,1,1,1] 111110000=>[1,1,1,1,1,5] 111110001=>[1,1,1,1,1,4,1] 111110010=>[1,1,1,1,1,3,2] 111110011=>[1,1,1,1,1,3,1,1] 111110100=>[1,1,1,1,1,2,3] 111110101=>[1,1,1,1,1,2,2,1] 111110110=>[1,1,1,1,1,2,1,2] 111110111=>[1,1,1,1,1,2,1,1,1] 111111000=>[1,1,1,1,1,1,4] 111111001=>[1,1,1,1,1,1,3,1] 111111010=>[1,1,1,1,1,1,2,2] 111111011=>[1,1,1,1,1,1,2,1,1] 111111100=>[1,1,1,1,1,1,1,3] 111111101=>[1,1,1,1,1,1,1,2,1] 111111110=>[1,1,1,1,1,1,1,1,2] 111111111=>[1,1,1,1,1,1,1,1,1,1] 1010101010=>[1,2,2,2,2,2] 1010101100=>[1,2,2,2,1,3] 1010110010=>[1,2,2,1,3,2] 1010110100=>[1,2,2,1,2,3] 1010111000=>[1,2,2,1,1,4] 1011001010=>[1,2,1,3,2,2] 1011001100=>[1,2,1,3,1,3] 1011010010=>[1,2,1,2,3,2] 1011010100=>[1,2,1,2,2,3] 1011011000=>[1,2,1,2,1,4] 1011100010=>[1,2,1,1,4,2] 1011100100=>[1,2,1,1,3,3] 1011101000=>[1,2,1,1,2,4] 1011110000=>[1,2,1,1,1,5] 1100101010=>[1,1,3,2,2,2] 1100101100=>[1,1,3,2,1,3] 1100110010=>[1,1,3,1,3,2] 1100110100=>[1,1,3,1,2,3] 1100111000=>[1,1,3,1,1,4] 1101001010=>[1,1,2,3,2,2] 1101001100=>[1,1,2,3,1,3] 1101010010=>[1,1,2,2,3,2] 1101010100=>[1,1,2,2,2,3] 1101011000=>[1,1,2,2,1,4] 1101100010=>[1,1,2,1,4,2] 1101100100=>[1,1,2,1,3,3] 1101101000=>[1,1,2,1,2,4] 1101110000=>[1,1,2,1,1,5] 1110001010=>[1,1,1,4,2,2] 1110001100=>[1,1,1,4,1,3] 1110010010=>[1,1,1,3,3,2] 1110010100=>[1,1,1,3,2,3] 1110011000=>[1,1,1,3,1,4] 1110100010=>[1,1,1,2,4,2] 1110100100=>[1,1,1,2,3,3] 1110101000=>[1,1,1,2,2,4] 1110110000=>[1,1,1,2,1,5] 1111000010=>[1,1,1,1,5,2] 1111000100=>[1,1,1,1,4,3] 1111001000=>[1,1,1,1,3,4] 1111010000=>[1,1,1,1,2,5] 1111100000=>[1,1,1,1,1,6] 1111111111=>[1,1,1,1,1,1,1,1,1,1,1] 1111111110=>[1,1,1,1,1,1,1,1,1,2] 1111111001=>[1,1,1,1,1,1,1,3,1] 1111110000=>[1,1,1,1,1,1,5] 1111101101=>[1,1,1,1,1,2,1,2,1] 1111101000=>[1,1,1,1,1,2,4] 1111100111=>[1,1,1,1,1,3,1,1,1] 1111100100=>[1,1,1,1,1,3,3] 1111100010=>[1,1,1,1,1,4,2] 1111100001=>[1,1,1,1,1,5,1] 1111011000=>[1,1,1,1,2,1,4] 1111010100=>[1,1,1,1,2,2,3] 1111010010=>[1,1,1,1,2,3,2] 1111010001=>[1,1,1,1,2,4,1] 1111001100=>[1,1,1,1,3,1,3] 1111001010=>[1,1,1,1,3,2,2] 1111001001=>[1,1,1,1,3,3,1] 1111000101=>[1,1,1,1,4,2,1] 1111000011=>[1,1,1,1,5,1,1] 1111000001=>[1,1,1,1,6,1] 1110111111=>[1,1,1,2,1,1,1,1,1,1] 1110111110=>[1,1,1,2,1,1,1,1,2] 1110111101=>[1,1,1,2,1,1,1,2,1] 1110111000=>[1,1,1,2,1,1,4] 1110110111=>[1,1,1,2,1,2,1,1,1] 1110110100=>[1,1,1,2,1,2,3] 1110110010=>[1,1,1,2,1,3,2] 1110110001=>[1,1,1,2,1,4,1] 1110101100=>[1,1,1,2,2,1,3] 1110101010=>[1,1,1,2,2,2,2] 1110101001=>[1,1,1,2,2,3,1] 1110100101=>[1,1,1,2,3,2,1] 1110100011=>[1,1,1,2,4,1,1] 1110100001=>[1,1,1,2,5,1] 1110011111=>[1,1,1,3,1,1,1,1,1] 1110011001=>[1,1,1,3,1,3,1] 1110010101=>[1,1,1,3,2,2,1] 1110010011=>[1,1,1,3,3,1,1] 1110010001=>[1,1,1,3,4,1] 1110001101=>[1,1,1,4,1,2,1] 1110000111=>[1,1,1,5,1,1,1] 1110000011=>[1,1,1,6,1,1] 1110000001=>[1,1,1,7,1] 1101111111=>[1,1,2,1,1,1,1,1,1,1] 1101111110=>[1,1,2,1,1,1,1,1,2] 1101110001=>[1,1,2,1,1,4,1] 1101101001=>[1,1,2,1,2,3,1] 1101100101=>[1,1,2,1,3,2,1] 1101100011=>[1,1,2,1,4,1,1] 1101100001=>[1,1,2,1,5,1] 1101011111=>[1,1,2,2,1,1,1,1,1] 1101011001=>[1,1,2,2,1,3,1] 1101010101=>[1,1,2,2,2,2,1] 1101010011=>[1,1,2,2,3,1,1] 1101010001=>[1,1,2,2,4,1] 1101001111=>[1,1,2,3,1,1,1,1] 1101001101=>[1,1,2,3,1,2,1] 1101000111=>[1,1,2,4,1,1,1] 1101000011=>[1,1,2,5,1,1] 1100111111=>[1,1,3,1,1,1,1,1,1] 1100111001=>[1,1,3,1,1,3,1] 1100110101=>[1,1,3,1,2,2,1] 1100110011=>[1,1,3,1,3,1,1] 1100110001=>[1,1,3,1,4,1] 1100101110=>[1,1,3,2,1,1,2] 1100011110=>[1,1,4,1,1,1,2] 1100011101=>[1,1,4,1,1,2,1] 1100011100=>[1,1,4,1,1,3] 1100001111=>[1,1,5,1,1,1,1] 1100001010=>[1,1,5,2,2] 1100000111=>[1,1,6,1,1,1] 1100000110=>[1,1,6,1,2] 1100000000=>[1,1,9] 1011111110=>[1,2,1,1,1,1,1,1,2] 1011111101=>[1,2,1,1,1,1,1,2,1] 1011110111=>[1,2,1,1,1,2,1,1,1] 1011110001=>[1,2,1,1,1,4,1] 1011100101=>[1,2,1,1,3,2,1] 1011100000=>[1,2,1,1,6] 1011011111=>[1,2,1,2,1,1,1,1,1] 1011011001=>[1,2,1,2,1,3,1] 1011010101=>[1,2,1,2,2,2,1] 1011010000=>[1,2,1,2,5] 1011001101=>[1,2,1,3,1,2,1] 1011001000=>[1,2,1,3,4] 1011000111=>[1,2,1,4,1,1,1] 1011000100=>[1,2,1,4,3] 1011000010=>[1,2,1,5,2] 1011000001=>[1,2,1,6,1] 1010111110=>[1,2,2,1,1,1,1,2] 1010110101=>[1,2,2,1,2,2,1] 1010110000=>[1,2,2,1,5] 1010101000=>[1,2,2,2,4] 1010100100=>[1,2,2,3,3] 1010100010=>[1,2,2,4,2] 1010011101=>[1,2,3,1,1,2,1] 1010011000=>[1,2,3,1,4] 1010010111=>[1,2,3,2,1,1,1] 1010010100=>[1,2,3,2,3] 1010010010=>[1,2,3,3,2] 1010010001=>[1,2,3,4,1] 1010001100=>[1,2,4,1,3] 1010001010=>[1,2,4,2,2] 1010000101=>[1,2,5,2,1] 1001111111=>[1,3,1,1,1,1,1,1,1] 1001111110=>[1,3,1,1,1,1,1,2] 1001111001=>[1,3,1,1,1,3,1] 1001110000=>[1,3,1,1,5] 1001101101=>[1,3,1,2,1,2,1] 1001101000=>[1,3,1,2,4] 1001100111=>[1,3,1,3,1,1,1] 1001100100=>[1,3,1,3,3] 1001100010=>[1,3,1,4,2] 1001100001=>[1,3,1,5,1] 1001011110=>[1,3,2,1,1,1,2] 1001011000=>[1,3,2,1,4] 1001010101=>[1,3,2,2,2,1] 1001010100=>[1,3,2,2,3] 1001010010=>[1,3,2,3,2] 1001001100=>[1,3,3,1,3] 1001001010=>[1,3,3,2,2] 1000111110=>[1,4,1,1,1,1,2] 1000111101=>[1,4,1,1,1,2,1] 1000111000=>[1,4,1,1,4] 1000110111=>[1,4,1,2,1,1,1] 1000110101=>[1,4,1,2,2,1] 1000110100=>[1,4,1,2,3] 1000110010=>[1,4,1,3,2] 1000110001=>[1,4,1,4,1] 1000101110=>[1,4,2,1,1,2] 1000101100=>[1,4,2,1,3] 1000101010=>[1,4,2,2,2] 1000100101=>[1,4,3,2,1] 1000011111=>[1,5,1,1,1,1,1] 1000011110=>[1,5,1,1,1,2] 1000011001=>[1,5,1,3,1] 1000010110=>[1,5,2,1,2] 1000010101=>[1,5,2,2,1] 1000001110=>[1,6,1,1,2] 1000001101=>[1,6,1,2,1] 1000001010=>[1,6,2,2] 1000000111=>[1,7,1,1,1] 1000000110=>[1,7,1,2] 1000000101=>[1,7,2,1] 1000000100=>[1,7,3] 1000000011=>[1,8,1,1] 1000000010=>[1,8,2] 1000000001=>[1,9,1] 1000000000=>[1,10] 0111111111=>[2,1,1,1,1,1,1,1,1,1] 0111111101=>[2,1,1,1,1,1,1,2,1] 0111111001=>[2,1,1,1,1,1,3,1] 0111110001=>[2,1,1,1,1,4,1] 0111100001=>[2,1,1,1,5,1] 0111000001=>[2,1,1,6,1] 0110000001=>[2,1,7,1] 0100000001=>[2,8,1] 0000000001=>[10,1] 0111111011=>[2,1,1,1,1,1,2,1,1] 0111110101=>[2,1,1,1,1,2,2,1] 0111101001=>[2,1,1,1,2,3,1] 0111010001=>[2,1,1,2,4,1] 0110100001=>[2,1,2,5,1] 0101000001=>[2,2,6,1] 0010000001=>[3,7,1] 0101010101=>[2,2,2,2,2,1] 0101010011=>[2,2,2,3,1,1] 0101001101=>[2,2,3,1,2,1] 0101001011=>[2,2,3,2,1,1] 0101000111=>[2,2,4,1,1,1] 0100110101=>[2,3,1,2,2,1] 0100110011=>[2,3,1,3,1,1] 0100101101=>[2,3,2,1,2,1] 0100101011=>[2,3,2,2,1,1] 0100100111=>[2,3,3,1,1,1] 0100011101=>[2,4,1,1,2,1] 0100011011=>[2,4,1,2,1,1] 0100010111=>[2,4,2,1,1,1] 0100001111=>[2,5,1,1,1,1] 0011010101=>[3,1,2,2,2,1] 0011010011=>[3,1,2,3,1,1] 0011001101=>[3,1,3,1,2,1] 0011001011=>[3,1,3,2,1,1] 0011000111=>[3,1,4,1,1,1] 0010110101=>[3,2,1,2,2,1] 0010110011=>[3,2,1,3,1,1] 0010101101=>[3,2,2,1,2,1] 0010101011=>[3,2,2,2,1,1] 0010100111=>[3,2,3,1,1,1] 0010011101=>[3,3,1,1,2,1] 0010011011=>[3,3,1,2,1,1] 0010010111=>[3,3,2,1,1,1] 0010001111=>[3,4,1,1,1,1] 0001110101=>[4,1,1,2,2,1] 0001110011=>[4,1,1,3,1,1] 0001101101=>[4,1,2,1,2,1] 0001101011=>[4,1,2,2,1,1] 0001100111=>[4,1,3,1,1,1] 0001011101=>[4,2,1,1,2,1] 0001011011=>[4,2,1,2,1,1] 0001010111=>[4,2,2,1,1,1] 0001001111=>[4,3,1,1,1,1] 0000111101=>[5,1,1,1,2,1] 0000111011=>[5,1,1,2,1,1] 0000110111=>[5,1,2,1,1,1] 0000101111=>[5,2,1,1,1,1] 0000011111=>[6,1,1,1,1,1] 0000000000=>[11] 0000011000=>[6,1,4] 0000011110=>[6,1,1,1,2] 0001111110=>[4,1,1,1,1,1,2] 0111111110=>[2,1,1,1,1,1,1,1,2] 0100111110=>[2,3,1,1,1,1,2] 0101010100=>[2,2,2,2,3] 0011110100=>[3,1,1,1,2,3] 0000010100=>[6,2,3] 0111010100=>[2,1,1,2,2,3] 0000000010=>[9,2] 0000001110=>[7,1,1,2] 0000111110=>[5,1,1,1,1,2] 0011111110=>[3,1,1,1,1,1,1,2] 0000000100=>[8,3] 0000010110=>[6,2,1,2] 0001011110=>[4,2,1,1,1,2] 0010111110=>[3,2,1,1,1,1,2] 0101111110=>[2,2,1,1,1,1,1,2] 0011100010=>[3,1,1,4,2] 0011110000=>[3,1,1,1,5] 0100101100=>[2,3,2,1,3] 0110001100=>[2,1,4,1,3] 0110100100=>[2,1,2,3,3] 0110110000=>[2,1,2,1,5] 0100001011=>[2,5,2,1,1] 0100101111=>[2,3,2,1,1,1,1] 0101011111=>[2,2,2,1,1,1,1,1] 0110111111=>[2,1,2,1,1,1,1,1,1] 0101110001=>[2,2,1,1,4,1] 0110010101=>[2,1,3,2,2,1] 0110011001=>[2,1,3,1,3,1] 0110110001=>[2,1,2,1,4,1] 0111001100=>[2,1,1,3,1,3] 0111011000=>[2,1,1,2,1,4] 0111100100=>[2,1,1,1,3,3] 0111101000=>[2,1,1,1,2,4] 0111110000=>[2,1,1,1,1,5] 0100000100=>[2,6,3] 0011111000=>[3,1,1,1,1,4] 0001111100=>[4,1,1,1,1,3] 0000000101=>[8,2,1] 0000001101=>[7,1,2,1] 0001111101=>[4,1,1,1,1,2,1] 0001000001=>[4,6,1] 0001101100=>[4,1,2,1,3] 0011000110=>[3,1,4,1,2] 0010001110=>[3,4,1,1,2] 0110111001=>[2,1,2,1,1,3,1] 0001101001=>[4,1,2,3,1] 0000010001=>[6,4,1] 0100100011=>[2,3,4,1,1] 0110010011=>[2,1,3,3,1,1] 0111000011=>[2,1,1,5,1,1] 0101000000=>[2,2,7] 0000000011=>[9,1,1] 0000111111=>[5,1,1,1,1,1,1] 0011111111=>[3,1,1,1,1,1,1,1,1] 0011110001=>[3,1,1,1,4,1] 0011111100=>[3,1,1,1,1,1,3] 0011111001=>[3,1,1,1,1,3,1] 0011110011=>[3,1,1,1,3,1,1] 0011001111=>[3,1,3,1,1,1,1] 0000001100=>[7,1,3] 0000110011=>[5,1,3,1,1] 0110100111=>[2,1,2,3,1,1,1] 0111100011=>[2,1,1,1,4,1,1] 0111101111=>[2,1,1,1,2,1,1,1,1] 0001101111=>[4,1,2,1,1,1,1] 0110110011=>[2,1,2,1,3,1,1] 0100101001=>[2,3,2,3,1] 0100111011=>[2,3,1,1,2,1,1] 0100010101=>[2,4,2,2,1] 0001010101=>[4,2,2,2,1] 0000110101=>[5,1,2,2,1] 0011010111=>[3,1,2,2,1,1,1] 0111010101=>[2,1,1,2,2,2,1] 0001110111=>[4,1,1,2,1,1,1] 0011110101=>[3,1,1,1,2,2,1] 0000011011=>[6,1,2,1,1] 0001100011=>[4,1,4,1,1] 0001001011=>[4,3,2,1,1] 0110000011=>[2,1,6,1,1] 0110011011=>[2,1,3,1,2,1,1] 0000011001=>[6,1,3,1] 0011011111=>[3,1,2,1,1,1,1,1] 0110011111=>[2,1,3,1,1,1,1,1] 0110110111=>[2,1,2,1,2,1,1,1] 0100100001=>[2,3,5,1] 0110010001=>[2,1,3,4,1] 0111100101=>[2,1,1,1,3,2,1] 0110101011=>[2,1,2,2,2,1,1] 0100111001=>[2,3,1,1,3,1] 0101100011=>[2,2,1,4,1,1] 0111011001=>[2,1,1,2,1,3,1] 0101100001=>[2,2,1,5,1] 0100011001=>[2,4,1,3,1] 0101111001=>[2,2,1,1,1,3,1] 0100010001=>[2,4,4,1] 0100110001=>[2,3,1,4,1] 0110111011=>[2,1,2,1,1,2,1,1] 0101111011=>[2,2,1,1,1,2,1,1] 0100010011=>[2,4,3,1,1] 0101110011=>[2,2,1,1,3,1,1] 0110100011=>[2,1,2,4,1,1] 0101000011=>[2,2,5,1,1] 0110010111=>[2,1,3,2,1,1,1] 0100110111=>[2,3,1,2,1,1,1] 0101110111=>[2,2,1,1,2,1,1,1] 0101100111=>[2,2,1,3,1,1,1] 0110101111=>[2,1,2,2,1,1,1,1] 0101101111=>[2,2,1,2,1,1,1,1] 0101001111=>[2,2,3,1,1,1,1] 0001010000=>[4,2,5] 0100010000=>[2,4,5] 0001000100=>[4,4,3] 0111011100=>[2,1,1,2,1,1,3] 0101000101=>[2,2,4,2,1] 0110110101=>[2,1,2,1,2,2,1] 0101010001=>[2,2,2,4,1] 0110001001=>[2,1,4,3,1] 0101011011=>[2,2,2,1,2,1,1] 0111010011=>[2,1,1,2,3,1,1] 0111000111=>[2,1,1,4,1,1,1] 0011011110=>[3,1,2,1,1,1,2] 0011101110=>[3,1,1,2,1,1,2] 0011110110=>[3,1,1,1,2,1,2] 0011111010=>[3,1,1,1,1,2,2] 0000110100=>[5,1,2,3] 0111001101=>[2,1,1,3,1,2,1] 10000000000=>[1,11] 10000000010=>[1,9,2] 10000000110=>[1,8,1,2] 10000001110=>[1,7,1,1,2] 10000011110=>[1,6,1,1,1,2] 10000111110=>[1,5,1,1,1,1,2] 10001111110=>[1,4,1,1,1,1,1,2] 10011111110=>[1,3,1,1,1,1,1,1,2] 10111111110=>[1,2,1,1,1,1,1,1,1,2] 11111111110=>[1,1,1,1,1,1,1,1,1,1,2] 11001111110=>[1,1,3,1,1,1,1,1,2] 11000011110=>[1,1,5,1,1,1,2] 11000000110=>[1,1,7,1,2] 01111111111=>[2,1,1,1,1,1,1,1,1,1,1] 01111111101=>[2,1,1,1,1,1,1,1,2,1] 01111111001=>[2,1,1,1,1,1,1,3,1] 01111110001=>[2,1,1,1,1,1,4,1] 01111100001=>[2,1,1,1,1,5,1] 01111000001=>[2,1,1,1,6,1] 01110000001=>[2,1,1,7,1] 01100000001=>[2,1,8,1] 01000000001=>[2,9,1] 00000000001=>[11,1] 00000000010=>[10,2] 00000001110=>[8,1,1,2] 00000111110=>[6,1,1,1,1,2] 00011111110=>[4,1,1,1,1,1,1,2] 01111111110=>[2,1,1,1,1,1,1,1,1,2] 10101010101=>[1,2,2,2,2,2,1] 00000001101=>[8,1,2,1] 01111110101=>[2,1,1,1,1,1,2,2,1] 10000000001=>[1,10,1] 11111111111=>[1,1,1,1,1,1,1,1,1,1,1,1] 01101010101=>[2,1,2,2,2,2,1] 00000000011=>[10,1,1] 00111111111=>[3,1,1,1,1,1,1,1,1,1] 10000000101=>[1,8,2,1] 11011111111=>[1,1,2,1,1,1,1,1,1,1,1] 10001010101=>[1,4,2,2,2,1] 01111010101=>[2,1,1,1,2,2,2,1] 10000010101=>[1,6,2,2,1] 00101111110=>[3,2,1,1,1,1,1,2] 00110111110=>[3,1,2,1,1,1,1,2] 00111011110=>[3,1,1,2,1,1,1,2] 00111101110=>[3,1,1,1,2,1,1,2] 00111110110=>[3,1,1,1,1,2,1,2] 00111111010=>[3,1,1,1,1,1,2,2] 00111111100=>[3,1,1,1,1,1,1,3] 11000000000=>[1,1,10] 00011011111=>[4,1,2,1,1,1,1,1] 00000001100=>[8,1,3] 00000110011=>[6,1,3,1,1] 00110111111=>[3,1,2,1,1,1,1,1,1] 01100111111=>[2,1,3,1,1,1,1,1,1] 11001111111=>[1,1,3,1,1,1,1,1,1,1] 00000011001=>[7,1,3,1] 00001100111=>[5,1,3,1,1,1] 00011001111=>[4,1,3,1,1,1,1] 00110011111=>[3,1,3,1,1,1,1,1] 00000011011=>[7,1,2,1,1] 00000110111=>[6,1,2,1,1,1] 00001101111=>[5,1,2,1,1,1,1] 01101111111=>[2,1,2,1,1,1,1,1,1,1] 101010101010=>[1,2,2,2,2,2,2] 101010101100=>[1,2,2,2,2,1,3] 101010110010=>[1,2,2,2,1,3,2] 101010110100=>[1,2,2,2,1,2,3] 101010111000=>[1,2,2,2,1,1,4] 101011001010=>[1,2,2,1,3,2,2] 101011001100=>[1,2,2,1,3,1,3] 101011010010=>[1,2,2,1,2,3,2] 101011010100=>[1,2,2,1,2,2,3] 101011011000=>[1,2,2,1,2,1,4] 101011100010=>[1,2,2,1,1,4,2] 101011100100=>[1,2,2,1,1,3,3] 101011101000=>[1,2,2,1,1,2,4] 101011110000=>[1,2,2,1,1,1,5] 101100101010=>[1,2,1,3,2,2,2] 101100101100=>[1,2,1,3,2,1,3] 101100110010=>[1,2,1,3,1,3,2] 101100110100=>[1,2,1,3,1,2,3] 101100111000=>[1,2,1,3,1,1,4] 101101001010=>[1,2,1,2,3,2,2] 101101001100=>[1,2,1,2,3,1,3] 101101010010=>[1,2,1,2,2,3,2] 101101010100=>[1,2,1,2,2,2,3] 101101011000=>[1,2,1,2,2,1,4] 101101100010=>[1,2,1,2,1,4,2] 101101100100=>[1,2,1,2,1,3,3] 101101101000=>[1,2,1,2,1,2,4] 101101110000=>[1,2,1,2,1,1,5] 101110001010=>[1,2,1,1,4,2,2] 101110001100=>[1,2,1,1,4,1,3] 101110010010=>[1,2,1,1,3,3,2] 101110010100=>[1,2,1,1,3,2,3] 101110011000=>[1,2,1,1,3,1,4] 101110100010=>[1,2,1,1,2,4,2] 101110100100=>[1,2,1,1,2,3,3] 101110101000=>[1,2,1,1,2,2,4] 101110110000=>[1,2,1,1,2,1,5] 101111000010=>[1,2,1,1,1,5,2] 101111000100=>[1,2,1,1,1,4,3] 101111001000=>[1,2,1,1,1,3,4] 101111010000=>[1,2,1,1,1,2,5] 101111100000=>[1,2,1,1,1,1,6] 110010101010=>[1,1,3,2,2,2,2] 110010101100=>[1,1,3,2,2,1,3] 110010110010=>[1,1,3,2,1,3,2] 110010110100=>[1,1,3,2,1,2,3] 110010111000=>[1,1,3,2,1,1,4] 110011001010=>[1,1,3,1,3,2,2] 110011001100=>[1,1,3,1,3,1,3] 110011010010=>[1,1,3,1,2,3,2] 110011010100=>[1,1,3,1,2,2,3] 110011011000=>[1,1,3,1,2,1,4] 110011100010=>[1,1,3,1,1,4,2] 110011100100=>[1,1,3,1,1,3,3] 110011101000=>[1,1,3,1,1,2,4] 110011110000=>[1,1,3,1,1,1,5] 110100101010=>[1,1,2,3,2,2,2] 110100101100=>[1,1,2,3,2,1,3] 110100110010=>[1,1,2,3,1,3,2] 110100110100=>[1,1,2,3,1,2,3] 110100111000=>[1,1,2,3,1,1,4] 110101001010=>[1,1,2,2,3,2,2] 110101001100=>[1,1,2,2,3,1,3] 110101010010=>[1,1,2,2,2,3,2] 110101010100=>[1,1,2,2,2,2,3] 110101011000=>[1,1,2,2,2,1,4] 110101100010=>[1,1,2,2,1,4,2] 110101100100=>[1,1,2,2,1,3,3] 110101101000=>[1,1,2,2,1,2,4] 110101110000=>[1,1,2,2,1,1,5] 110110001010=>[1,1,2,1,4,2,2] 110110001100=>[1,1,2,1,4,1,3] 110110010010=>[1,1,2,1,3,3,2] 110110010100=>[1,1,2,1,3,2,3] 110110011000=>[1,1,2,1,3,1,4] 110110100010=>[1,1,2,1,2,4,2] 110110100100=>[1,1,2,1,2,3,3] 110110101000=>[1,1,2,1,2,2,4] 110110110000=>[1,1,2,1,2,1,5] 110111000010=>[1,1,2,1,1,5,2] 110111000100=>[1,1,2,1,1,4,3] 110111001000=>[1,1,2,1,1,3,4] 110111010000=>[1,1,2,1,1,2,5] 110111100000=>[1,1,2,1,1,1,6] 111000101010=>[1,1,1,4,2,2,2] 111000101100=>[1,1,1,4,2,1,3] 111000110010=>[1,1,1,4,1,3,2] 111000110100=>[1,1,1,4,1,2,3] 111000111000=>[1,1,1,4,1,1,4] 111001001010=>[1,1,1,3,3,2,2] 111001001100=>[1,1,1,3,3,1,3] 111001010010=>[1,1,1,3,2,3,2] 111001010100=>[1,1,1,3,2,2,3] 111001011000=>[1,1,1,3,2,1,4] 111001100010=>[1,1,1,3,1,4,2] 111001100100=>[1,1,1,3,1,3,3] 111001101000=>[1,1,1,3,1,2,4] 111001110000=>[1,1,1,3,1,1,5] 111010001010=>[1,1,1,2,4,2,2] 111010001100=>[1,1,1,2,4,1,3] 111010010010=>[1,1,1,2,3,3,2] 111010010100=>[1,1,1,2,3,2,3] 111010011000=>[1,1,1,2,3,1,4] 111010100010=>[1,1,1,2,2,4,2] 111010100100=>[1,1,1,2,2,3,3] 111010101000=>[1,1,1,2,2,2,4] 111010110000=>[1,1,1,2,2,1,5] 111011000010=>[1,1,1,2,1,5,2] 111011000100=>[1,1,1,2,1,4,3] 111011001000=>[1,1,1,2,1,3,4] 111011010000=>[1,1,1,2,1,2,5] 111011100000=>[1,1,1,2,1,1,6] 111100001010=>[1,1,1,1,5,2,2] 111100001100=>[1,1,1,1,5,1,3] 111100010010=>[1,1,1,1,4,3,2] 111100010100=>[1,1,1,1,4,2,3] 111100011000=>[1,1,1,1,4,1,4] 111100100010=>[1,1,1,1,3,4,2] 111100100100=>[1,1,1,1,3,3,3] 111100101000=>[1,1,1,1,3,2,4] 111100110000=>[1,1,1,1,3,1,5] 111101000010=>[1,1,1,1,2,5,2] 111101000100=>[1,1,1,1,2,4,3] 111101001000=>[1,1,1,1,2,3,4] 111101010000=>[1,1,1,1,2,2,5] 111101100000=>[1,1,1,1,2,1,6] 111110000010=>[1,1,1,1,1,6,2] 111110000100=>[1,1,1,1,1,5,3] 111110001000=>[1,1,1,1,1,4,4] 111110010000=>[1,1,1,1,1,3,5] 111110100000=>[1,1,1,1,1,2,6] 111111000000=>[1,1,1,1,1,1,7] 010101010101=>[2,2,2,2,2,2,1] 010101010011=>[2,2,2,2,3,1,1] 010101001101=>[2,2,2,3,1,2,1] 010101001011=>[2,2,2,3,2,1,1] 010101000111=>[2,2,2,4,1,1,1] 010100110101=>[2,2,3,1,2,2,1] 010100110011=>[2,2,3,1,3,1,1] 010100101101=>[2,2,3,2,1,2,1] 010100101011=>[2,2,3,2,2,1,1] 010100100111=>[2,2,3,3,1,1,1] 010100011101=>[2,2,4,1,1,2,1] 010100011011=>[2,2,4,1,2,1,1] 010100010111=>[2,2,4,2,1,1,1] 010100001111=>[2,2,5,1,1,1,1] 010011010101=>[2,3,1,2,2,2,1] 010011010011=>[2,3,1,2,3,1,1] 010011001101=>[2,3,1,3,1,2,1] 010011001011=>[2,3,1,3,2,1,1] 010011000111=>[2,3,1,4,1,1,1] 010010110101=>[2,3,2,1,2,2,1] 010010110011=>[2,3,2,1,3,1,1] 010010101101=>[2,3,2,2,1,2,1] 010010101011=>[2,3,2,2,2,1,1] 010010100111=>[2,3,2,3,1,1,1] 010010011101=>[2,3,3,1,1,2,1] 010010011011=>[2,3,3,1,2,1,1] 010010010111=>[2,3,3,2,1,1,1] 010010001111=>[2,3,4,1,1,1,1] 010001110101=>[2,4,1,1,2,2,1] 010001110011=>[2,4,1,1,3,1,1] 010001101101=>[2,4,1,2,1,2,1] 010001101011=>[2,4,1,2,2,1,1] 010001100111=>[2,4,1,3,1,1,1] 010001011101=>[2,4,2,1,1,2,1] 010001011011=>[2,4,2,1,2,1,1] 010001010111=>[2,4,2,2,1,1,1] 010001001111=>[2,4,3,1,1,1,1] 010000111101=>[2,5,1,1,1,2,1] 010000111011=>[2,5,1,1,2,1,1] 010000110111=>[2,5,1,2,1,1,1] 010000101111=>[2,5,2,1,1,1,1] 010000011111=>[2,6,1,1,1,1,1] 001101010101=>[3,1,2,2,2,2,1] 001101010011=>[3,1,2,2,3,1,1] 001101001101=>[3,1,2,3,1,2,1] 001101001011=>[3,1,2,3,2,1,1] 001101000111=>[3,1,2,4,1,1,1] 001100110101=>[3,1,3,1,2,2,1] 001100110011=>[3,1,3,1,3,1,1] 001100101101=>[3,1,3,2,1,2,1] 001100101011=>[3,1,3,2,2,1,1] 001100100111=>[3,1,3,3,1,1,1] 001100011101=>[3,1,4,1,1,2,1] 001100011011=>[3,1,4,1,2,1,1] 001100010111=>[3,1,4,2,1,1,1] 001100001111=>[3,1,5,1,1,1,1] 001011010101=>[3,2,1,2,2,2,1] 001011010011=>[3,2,1,2,3,1,1] 001011001101=>[3,2,1,3,1,2,1] 001011001011=>[3,2,1,3,2,1,1] 001011000111=>[3,2,1,4,1,1,1] 001010110101=>[3,2,2,1,2,2,1] 001010110011=>[3,2,2,1,3,1,1] 001010101101=>[3,2,2,2,1,2,1] 001010101011=>[3,2,2,2,2,1,1] 001010100111=>[3,2,2,3,1,1,1] 001010011101=>[3,2,3,1,1,2,1] 001010011011=>[3,2,3,1,2,1,1] 001010010111=>[3,2,3,2,1,1,1] 001010001111=>[3,2,4,1,1,1,1] 001001110101=>[3,3,1,1,2,2,1] 001001110011=>[3,3,1,1,3,1,1] 001001101101=>[3,3,1,2,1,2,1] 001001101011=>[3,3,1,2,2,1,1] 001001100111=>[3,3,1,3,1,1,1] 001001011101=>[3,3,2,1,1,2,1] 001001011011=>[3,3,2,1,2,1,1] 001001010111=>[3,3,2,2,1,1,1] 001001001111=>[3,3,3,1,1,1,1] 001000111101=>[3,4,1,1,1,2,1] 001000111011=>[3,4,1,1,2,1,1] 001000110111=>[3,4,1,2,1,1,1] 001000101111=>[3,4,2,1,1,1,1] 001000011111=>[3,5,1,1,1,1,1] 000111010101=>[4,1,1,2,2,2,1] 000111010011=>[4,1,1,2,3,1,1] 000111001101=>[4,1,1,3,1,2,1] 000111001011=>[4,1,1,3,2,1,1] 000111000111=>[4,1,1,4,1,1,1] 000110110101=>[4,1,2,1,2,2,1] 000110110011=>[4,1,2,1,3,1,1] 000110101101=>[4,1,2,2,1,2,1] 000110101011=>[4,1,2,2,2,1,1] 000110100111=>[4,1,2,3,1,1,1] 000110011101=>[4,1,3,1,1,2,1] 000110011011=>[4,1,3,1,2,1,1] 000110010111=>[4,1,3,2,1,1,1] 000110001111=>[4,1,4,1,1,1,1] 000101110101=>[4,2,1,1,2,2,1] 000101110011=>[4,2,1,1,3,1,1] 000101101101=>[4,2,1,2,1,2,1] 000101101011=>[4,2,1,2,2,1,1] 000101100111=>[4,2,1,3,1,1,1] 000101011101=>[4,2,2,1,1,2,1] 000101011011=>[4,2,2,1,2,1,1] 000101010111=>[4,2,2,2,1,1,1] 000101001111=>[4,2,3,1,1,1,1] 000100111101=>[4,3,1,1,1,2,1] 000100111011=>[4,3,1,1,2,1,1] 000100110111=>[4,3,1,2,1,1,1] 000100101111=>[4,3,2,1,1,1,1] 000100011111=>[4,4,1,1,1,1,1] 000011110101=>[5,1,1,1,2,2,1] 000011110011=>[5,1,1,1,3,1,1] 000011101101=>[5,1,1,2,1,2,1] 000011101011=>[5,1,1,2,2,1,1] 000011100111=>[5,1,1,3,1,1,1] 000011011101=>[5,1,2,1,1,2,1] 000011011011=>[5,1,2,1,2,1,1] 000011010111=>[5,1,2,2,1,1,1] 000011001111=>[5,1,3,1,1,1,1] 000010111101=>[5,2,1,1,1,2,1] 000010111011=>[5,2,1,1,2,1,1] 000010110111=>[5,2,1,2,1,1,1] 000010101111=>[5,2,2,1,1,1,1] 000010011111=>[5,3,1,1,1,1,1] 000001111101=>[6,1,1,1,1,2,1] 000001111011=>[6,1,1,1,2,1,1] 000001110111=>[6,1,1,2,1,1,1] 000001101111=>[6,1,2,1,1,1,1] 000001011111=>[6,2,1,1,1,1,1] 000000111111=>[7,1,1,1,1,1,1] 111111111111=>[1,1,1,1,1,1,1,1,1,1,1,1,1] 111111111001=>[1,1,1,1,1,1,1,1,1,3,1] 111111100111=>[1,1,1,1,1,1,1,3,1,1,1] 111111100001=>[1,1,1,1,1,1,1,5,1] 111111101101=>[1,1,1,1,1,1,1,2,1,2,1] 111110011111=>[1,1,1,1,1,3,1,1,1,1,1] 111110011001=>[1,1,1,1,1,3,1,3,1] 111110000111=>[1,1,1,1,1,5,1,1,1] 111110000001=>[1,1,1,1,1,7,1] 111110001101=>[1,1,1,1,1,4,1,2,1] 111110110111=>[1,1,1,1,1,2,1,2,1,1,1] 111110110001=>[1,1,1,1,1,2,1,4,1] 111110111101=>[1,1,1,1,1,2,1,1,1,2,1] 111110100101=>[1,1,1,1,1,2,3,2,1] 111001111111=>[1,1,1,3,1,1,1,1,1,1,1] 111001111001=>[1,1,1,3,1,1,1,3,1] 111001100111=>[1,1,1,3,1,3,1,1,1] 111001100001=>[1,1,1,3,1,5,1] 111001101101=>[1,1,1,3,1,2,1,2,1] 111000011111=>[1,1,1,5,1,1,1,1,1] 111000011001=>[1,1,1,5,1,3,1] 111000000111=>[1,1,1,7,1,1,1] 111000000001=>[1,1,1,9,1] 111000001101=>[1,1,1,6,1,2,1] 111000110111=>[1,1,1,4,1,2,1,1,1] 111000110001=>[1,1,1,4,1,4,1] 111000111101=>[1,1,1,4,1,1,1,2,1] 111000100101=>[1,1,1,4,3,2,1] 111011011111=>[1,1,1,2,1,2,1,1,1,1,1] 111011011001=>[1,1,1,2,1,2,1,3,1] 111011000111=>[1,1,1,2,1,4,1,1,1] 111011000001=>[1,1,1,2,1,6,1] 111011001101=>[1,1,1,2,1,3,1,2,1] 111011110111=>[1,1,1,2,1,1,1,2,1,1,1] 111011110001=>[1,1,1,2,1,1,1,4,1] 111011111101=>[1,1,1,2,1,1,1,1,1,2,1] 111011100101=>[1,1,1,2,1,1,3,2,1] 111010010111=>[1,1,1,2,3,2,1,1,1] 111010010001=>[1,1,1,2,3,4,1] 111010011101=>[1,1,1,2,3,1,1,2,1] 111010000101=>[1,1,1,2,5,2,1] 111010110101=>[1,1,1,2,2,1,2,2,1] 100111111111=>[1,3,1,1,1,1,1,1,1,1,1] 100111111001=>[1,3,1,1,1,1,1,3,1] 100111100111=>[1,3,1,1,1,3,1,1,1] 100111100001=>[1,3,1,1,1,5,1] 100111101101=>[1,3,1,1,1,2,1,2,1] 100110011111=>[1,3,1,3,1,1,1,1,1] 100110011001=>[1,3,1,3,1,3,1] 100110000111=>[1,3,1,5,1,1,1] 100110000001=>[1,3,1,7,1] 100110001101=>[1,3,1,4,1,2,1] 100110110111=>[1,3,1,2,1,2,1,1,1] 100110110001=>[1,3,1,2,1,4,1] 100110111101=>[1,3,1,2,1,1,1,2,1] 100110100101=>[1,3,1,2,3,2,1] 100001111111=>[1,5,1,1,1,1,1,1,1] 100001111001=>[1,5,1,1,1,3,1] 100001100111=>[1,5,1,3,1,1,1] 100001100001=>[1,5,1,5,1] 100001101101=>[1,5,1,2,1,2,1] 100000011111=>[1,7,1,1,1,1,1] 100000011001=>[1,7,1,3,1] 100000000111=>[1,9,1,1,1] 100000000001=>[1,11,1] 100000001101=>[1,8,1,2,1] 100000110111=>[1,6,1,2,1,1,1] 100000110001=>[1,6,1,4,1] 100000111101=>[1,6,1,1,1,2,1] 100000100101=>[1,6,3,2,1] 100011011111=>[1,4,1,2,1,1,1,1,1] 100011011001=>[1,4,1,2,1,3,1] 100011000111=>[1,4,1,4,1,1,1] 100011000001=>[1,4,1,6,1] 100011001101=>[1,4,1,3,1,2,1] 100011110111=>[1,4,1,1,1,2,1,1,1] 100011110001=>[1,4,1,1,1,4,1] 100011111101=>[1,4,1,1,1,1,1,2,1] 100011100101=>[1,4,1,1,3,2,1] 100010010111=>[1,4,3,2,1,1,1] 100010010001=>[1,4,3,4,1] 100010011101=>[1,4,3,1,1,2,1] 100010000101=>[1,4,5,2,1] 100010110101=>[1,4,2,1,2,2,1] 101101111111=>[1,2,1,2,1,1,1,1,1,1,1] 101101111001=>[1,2,1,2,1,1,1,3,1] 101101100111=>[1,2,1,2,1,3,1,1,1] 101101100001=>[1,2,1,2,1,5,1] 101101101101=>[1,2,1,2,1,2,1,2,1] 101100011111=>[1,2,1,4,1,1,1,1,1] 101100011001=>[1,2,1,4,1,3,1] 101100000111=>[1,2,1,6,1,1,1] 101100000001=>[1,2,1,8,1] 101100001101=>[1,2,1,5,1,2,1] 101100110111=>[1,2,1,3,1,2,1,1,1] 101100110001=>[1,2,1,3,1,4,1] 101100111101=>[1,2,1,3,1,1,1,2,1] 101100100101=>[1,2,1,3,3,2,1] 101111011111=>[1,2,1,1,1,2,1,1,1,1,1] 101111011001=>[1,2,1,1,1,2,1,3,1] 101111000111=>[1,2,1,1,1,4,1,1,1] 101111000001=>[1,2,1,1,1,6,1] 101111001101=>[1,2,1,1,1,3,1,2,1] 101111110111=>[1,2,1,1,1,1,1,2,1,1,1] 101111110001=>[1,2,1,1,1,1,1,4,1] 101111111101=>[1,2,1,1,1,1,1,1,1,2,1] 101111100101=>[1,2,1,1,1,1,3,2,1] 101110010111=>[1,2,1,1,3,2,1,1,1] 101110010001=>[1,2,1,1,3,4,1] 101110011101=>[1,2,1,1,3,1,1,2,1] 101110000101=>[1,2,1,1,5,2,1] 101110110101=>[1,2,1,1,2,1,2,2,1] 101001011111=>[1,2,3,2,1,1,1,1,1] 101001011001=>[1,2,3,2,1,3,1] 101001000111=>[1,2,3,4,1,1,1] 101001000001=>[1,2,3,6,1] 101001001101=>[1,2,3,3,1,2,1] 101001110111=>[1,2,3,1,1,2,1,1,1] 101001110001=>[1,2,3,1,1,4,1] 101001111101=>[1,2,3,1,1,1,1,2,1] 101001100101=>[1,2,3,1,3,2,1] 101000010111=>[1,2,5,2,1,1,1] 101000010001=>[1,2,5,4,1] 101000011101=>[1,2,5,1,1,2,1] 101000000101=>[1,2,7,2,1] 101000110101=>[1,2,4,1,2,2,1] 101011010111=>[1,2,2,1,2,2,1,1,1] 101011010001=>[1,2,2,1,2,4,1] 101011011101=>[1,2,2,1,2,1,1,2,1] 101011000101=>[1,2,2,1,4,2,1] 101011110101=>[1,2,2,1,1,1,2,2,1] 101010010101=>[1,2,2,3,2,2,1] 000000000000=>[13] 000111111000=>[4,1,1,1,1,1,4] 011110011000=>[2,1,1,1,3,1,4] 011111100000=>[2,1,1,1,1,1,6] 011111001000=>[2,1,1,1,1,3,4] 011100111000=>[2,1,1,3,1,1,4] 011101101000=>[2,1,1,2,1,2,4] 001010101010=>[3,2,2,2,2,2] 001010101100=>[3,2,2,2,1,3] 001010110010=>[3,2,2,1,3,2] 001010110100=>[3,2,2,1,2,3] 001010111000=>[3,2,2,1,1,4] 001011001010=>[3,2,1,3,2,2] 001011001100=>[3,2,1,3,1,3] 001011010010=>[3,2,1,2,3,2] 001011010100=>[3,2,1,2,2,3] 001011011000=>[3,2,1,2,1,4] 001011100010=>[3,2,1,1,4,2] 001011100100=>[3,2,1,1,3,3] 001011101000=>[3,2,1,1,2,4] 001011110000=>[3,2,1,1,1,5] 001100101010=>[3,1,3,2,2,2] 001100101100=>[3,1,3,2,1,3] 001100110010=>[3,1,3,1,3,2] 001100110100=>[3,1,3,1,2,3] 001100111000=>[3,1,3,1,1,4] 001101001010=>[3,1,2,3,2,2] 001101001100=>[3,1,2,3,1,3] 001101010010=>[3,1,2,2,3,2] 001101010100=>[3,1,2,2,2,3] 001101011000=>[3,1,2,2,1,4] 001101100010=>[3,1,2,1,4,2] 001101100100=>[3,1,2,1,3,3] 001101101000=>[3,1,2,1,2,4] 001101110000=>[3,1,2,1,1,5] 001110001010=>[3,1,1,4,2,2] 001110001100=>[3,1,1,4,1,3] 001110010010=>[3,1,1,3,3,2] 001110010100=>[3,1,1,3,2,3] 001110011000=>[3,1,1,3,1,4] 001110100010=>[3,1,1,2,4,2] 001110100100=>[3,1,1,2,3,3] 001110101000=>[3,1,1,2,2,4] 001110110000=>[3,1,1,2,1,5] 001111000010=>[3,1,1,1,5,2] 001111000100=>[3,1,1,1,4,3] 001111001000=>[3,1,1,1,3,4] 001111010000=>[3,1,1,1,2,5] 001111100000=>[3,1,1,1,1,6] 010010101010=>[2,3,2,2,2,2] 010010101100=>[2,3,2,2,1,3] 010010110010=>[2,3,2,1,3,2] 010010110100=>[2,3,2,1,2,3] 010010111000=>[2,3,2,1,1,4] 010011001010=>[2,3,1,3,2,2] 010011001100=>[2,3,1,3,1,3] 010011010010=>[2,3,1,2,3,2] 010011010100=>[2,3,1,2,2,3] 010011011000=>[2,3,1,2,1,4] 010011100010=>[2,3,1,1,4,2] 010011100100=>[2,3,1,1,3,3] 010011101000=>[2,3,1,1,2,4] 010011110000=>[2,3,1,1,1,5] 010100101010=>[2,2,3,2,2,2] 010100101100=>[2,2,3,2,1,3] 010100110010=>[2,2,3,1,3,2] 010100110100=>[2,2,3,1,2,3] 010100111000=>[2,2,3,1,1,4] 010101001010=>[2,2,2,3,2,2] 010101001100=>[2,2,2,3,1,3] 010101010010=>[2,2,2,2,3,2] 010101010100=>[2,2,2,2,2,3] 010101011000=>[2,2,2,2,1,4] 010101100010=>[2,2,2,1,4,2] 010101100100=>[2,2,2,1,3,3] 010101101000=>[2,2,2,1,2,4] 010101110000=>[2,2,2,1,1,5] 010110001010=>[2,2,1,4,2,2] 010110001100=>[2,2,1,4,1,3] 010110010010=>[2,2,1,3,3,2] 010110010100=>[2,2,1,3,2,3] 010110011000=>[2,2,1,3,1,4] 010110100010=>[2,2,1,2,4,2] 010110100100=>[2,2,1,2,3,3] 010110101000=>[2,2,1,2,2,4] 010110110000=>[2,2,1,2,1,5] 010111000010=>[2,2,1,1,5,2] 010111000100=>[2,2,1,1,4,3] 010111001000=>[2,2,1,1,3,4] 010111010000=>[2,2,1,1,2,5] 010111100000=>[2,2,1,1,1,6] 011000101010=>[2,1,4,2,2,2] 011000101100=>[2,1,4,2,1,3] 011000110010=>[2,1,4,1,3,2] 011000110100=>[2,1,4,1,2,3] 011000111000=>[2,1,4,1,1,4] 011001001010=>[2,1,3,3,2,2] 011001001100=>[2,1,3,3,1,3] 011001010010=>[2,1,3,2,3,2] 011001010100=>[2,1,3,2,2,3] 011001011000=>[2,1,3,2,1,4] 011001100010=>[2,1,3,1,4,2] 011001100100=>[2,1,3,1,3,3] 011001101000=>[2,1,3,1,2,4] 011001110000=>[2,1,3,1,1,5] 011010001010=>[2,1,2,4,2,2] 011010001100=>[2,1,2,4,1,3] 011010010010=>[2,1,2,3,3,2] 011010010100=>[2,1,2,3,2,3] 011010011000=>[2,1,2,3,1,4] 011010100010=>[2,1,2,2,4,2] 011010100100=>[2,1,2,2,3,3] 011010101000=>[2,1,2,2,2,4] 011010110000=>[2,1,2,2,1,5] 011011000010=>[2,1,2,1,5,2] 011011000100=>[2,1,2,1,4,3] 011011001000=>[2,1,2,1,3,4] 011011010000=>[2,1,2,1,2,5] 011011100000=>[2,1,2,1,1,6] 011100001010=>[2,1,1,5,2,2] 011100001100=>[2,1,1,5,1,3] 011100010010=>[2,1,1,4,3,2] 011100010100=>[2,1,1,4,2,3] 011100011000=>[2,1,1,4,1,4] 011100100010=>[2,1,1,3,4,2] 011100100100=>[2,1,1,3,3,3] 011100101000=>[2,1,1,3,2,4] 011100110000=>[2,1,1,3,1,5] 011101000010=>[2,1,1,2,5,2] 011101000100=>[2,1,1,2,4,3] 011101001000=>[2,1,1,2,3,4] 011101010000=>[2,1,1,2,2,5] 011101100000=>[2,1,1,2,1,6] 011110000010=>[2,1,1,1,6,2] 011110000100=>[2,1,1,1,5,3] 011110001000=>[2,1,1,1,4,4] 011110010000=>[2,1,1,1,3,5] 011110100000=>[2,1,1,1,2,6] 011111000000=>[2,1,1,1,1,7] 010101101001=>[2,2,2,1,2,3,1] 010101101100=>[2,2,2,1,2,1,3] 011001011001=>[2,1,3,2,1,3,1] 011001011100=>[2,1,3,2,1,1,3] 011010010101=>[2,1,2,3,2,2,1] 011010101001=>[2,1,2,2,2,3,1] 011010101100=>[2,1,2,2,2,1,3] 011011000101=>[2,1,2,1,4,2,1] 011011010001=>[2,1,2,1,2,4,1] 011011010100=>[2,1,2,1,2,2,3] 011100011001=>[2,1,1,4,1,3,1] 011100011100=>[2,1,1,4,1,1,3] 011100110001=>[2,1,1,3,1,4,1] 011100110100=>[2,1,1,3,1,2,3] 011101001001=>[2,1,1,2,3,3,1] 011101001100=>[2,1,1,2,3,1,3] 011101010001=>[2,1,1,2,2,4,1] 011101010100=>[2,1,1,2,2,2,3] 011101011000=>[2,1,1,2,2,1,4] 011101100001=>[2,1,1,2,1,5,1] 011101100100=>[2,1,1,2,1,3,3] 011101110000=>[2,1,1,2,1,1,5] 011110001100=>[2,1,1,1,4,1,3] 011110010001=>[2,1,1,1,3,4,1] 011110010100=>[2,1,1,1,3,2,3] 011110100001=>[2,1,1,1,2,5,1] 011110100100=>[2,1,1,1,2,3,3] 011110101000=>[2,1,1,1,2,2,4] 011110110000=>[2,1,1,1,2,1,5] 011111000001=>[2,1,1,1,1,6,1] 011111000100=>[2,1,1,1,1,4,3] 011111010000=>[2,1,1,1,1,2,5] 001111001100=>[3,1,1,1,3,1,3] 001111010100=>[3,1,1,1,2,2,3] 001111011000=>[3,1,1,1,2,1,4] 010011011100=>[2,3,1,2,1,1,3] 000111011100=>[4,1,1,2,1,1,3] 001111100100=>[3,1,1,1,1,3,3] 001111101000=>[3,1,1,1,1,2,4] 001111110000=>[3,1,1,1,1,1,5] 000111110100=>[4,1,1,1,1,2,3] 110001111000=>[1,1,4,1,1,1,4] 000011111100=>[5,1,1,1,1,1,3] 100101110001=>[1,3,2,1,1,4,1] 101011100001=>[1,2,2,1,1,5,1] 101110100001=>[1,2,1,1,2,5,1] 110001110001=>[1,1,4,1,1,4,1] 110011010001=>[1,1,3,1,2,4,1] 110011100001=>[1,1,3,1,1,5,1] 110100110001=>[1,1,2,3,1,4,1] 110101010001=>[1,1,2,2,2,4,1] 110101100001=>[1,1,2,2,1,5,1] 110110010001=>[1,1,2,1,3,4,1] 110110100001=>[1,1,2,1,2,5,1] 110111000001=>[1,1,2,1,1,6,1] 111001010001=>[1,1,1,3,2,4,1] 111010100001=>[1,1,1,2,2,5,1] 111100010001=>[1,1,1,1,4,4,1] 111100100001=>[1,1,1,1,3,5,1] 111101000001=>[1,1,1,1,2,6,1] 101000111001=>[1,2,4,1,1,3,1] 100100111001=>[1,3,3,1,1,3,1] 100110100011=>[1,3,1,2,4,1,1] 101001100011=>[1,2,3,1,4,1,1] 100101100011=>[1,3,2,1,4,1,1] 100110010011=>[1,3,1,3,3,1,1] 101000110011=>[1,2,4,1,3,1,1] 100100110011=>[1,3,3,1,3,1,1] 101000011011=>[1,2,5,1,2,1,1] 100100011011=>[1,3,4,1,2,1,1] 101010000111=>[1,2,2,5,1,1,1] 100101000111=>[1,3,2,4,1,1,1] 101000100111=>[1,2,4,3,1,1,1] 100100100111=>[1,3,3,3,1,1,1] 100100010111=>[1,3,4,2,1,1,1] 110101010101=>[1,1,2,2,2,2,2,1] 110101011001=>[1,1,2,2,2,1,3,1] 110101100101=>[1,1,2,2,1,3,2,1] 110101101001=>[1,1,2,2,1,2,3,1] 110101110001=>[1,1,2,2,1,1,4,1] 110110010101=>[1,1,2,1,3,2,2,1] 110110100101=>[1,1,2,1,2,3,2,1] 110110101001=>[1,1,2,1,2,2,3,1] 110110110001=>[1,1,2,1,2,1,4,1] 110111000101=>[1,1,2,1,1,4,2,1] 110111001001=>[1,1,2,1,1,3,3,1] 110111010001=>[1,1,2,1,1,2,4,1] 110111100001=>[1,1,2,1,1,1,5,1] 111001010101=>[1,1,1,3,2,2,2,1] 111001011001=>[1,1,1,3,2,1,3,1] 111010010101=>[1,1,1,2,3,2,2,1] 111010100101=>[1,1,1,2,2,3,2,1] 111010101001=>[1,1,1,2,2,2,3,1] 111010110001=>[1,1,1,2,2,1,4,1] 111011000101=>[1,1,1,2,1,4,2,1] 111011001001=>[1,1,1,2,1,3,3,1] 111011010001=>[1,1,1,2,1,2,4,1] 111011100001=>[1,1,1,2,1,1,5,1] 111100010101=>[1,1,1,1,4,2,2,1] 111100100101=>[1,1,1,1,3,3,2,1] 111100101001=>[1,1,1,1,3,2,3,1] 111101000101=>[1,1,1,1,2,4,2,1] 111101001001=>[1,1,1,1,2,3,3,1] 111101010001=>[1,1,1,1,2,2,4,1] 111101100001=>[1,1,1,1,2,1,5,1] 111110000101=>[1,1,1,1,1,5,2,1] 111110001001=>[1,1,1,1,1,4,3,1] 111110010001=>[1,1,1,1,1,3,4,1] 111110100001=>[1,1,1,1,1,2,5,1] 111111000001=>[1,1,1,1,1,1,6,1] 011110000011=>[2,1,1,1,6,1,1] 011100010011=>[2,1,1,4,3,1,1] 011010001011=>[2,1,2,4,2,1,1] 011000101011=>[2,1,4,2,2,1,1] 101100100011=>[1,2,1,3,4,1,1] 101100010011=>[1,2,1,4,3,1,1] 110110000011=>[1,1,2,1,6,1,1] 111010000011=>[1,1,1,2,6,1,1] 111100000011=>[1,1,1,1,7,1,1] 011100000111=>[2,1,1,6,1,1,1] 011000010111=>[2,1,5,2,1,1,1] 110100000111=>[1,1,2,6,1,1,1] 110000001111=>[1,1,7,1,1,1,1] 110011010101=>[1,1,3,1,2,2,2,1] 110100110101=>[1,1,2,3,1,2,2,1] 110001110101=>[1,1,4,1,1,2,2,1] 110101001101=>[1,1,2,2,3,1,2,1] 110011001101=>[1,1,3,1,3,1,2,1] 110100011101=>[1,1,2,4,1,1,2,1] 110000111101=>[1,1,5,1,1,1,2,1] 110101010011=>[1,1,2,2,2,3,1,1] 110011010011=>[1,1,3,1,2,3,1,1] 110100110011=>[1,1,2,3,1,3,1,1] 101100110011=>[1,2,1,3,1,3,1,1] 100110110011=>[1,3,1,2,1,3,1,1] 110001110011=>[1,1,4,1,1,3,1,1] 101001110011=>[1,2,3,1,1,3,1,1] 100101110011=>[1,3,2,1,1,3,1,1] 101100011011=>[1,2,1,4,1,2,1,1] 100110011011=>[1,3,1,3,1,2,1,1] 101000111011=>[1,2,4,1,1,2,1,1] 100100111011=>[1,3,3,1,1,2,1,1] 110101000111=>[1,1,2,2,4,1,1,1] 101101000111=>[1,2,1,2,4,1,1,1] 110011000111=>[1,1,3,1,4,1,1,1] 101011000111=>[1,2,2,1,4,1,1,1] 101100100111=>[1,2,1,3,3,1,1,1] 100110100111=>[1,3,1,2,3,1,1,1] 101001100111=>[1,2,3,1,3,1,1,1] 100101100111=>[1,3,2,1,3,1,1,1] 101100010111=>[1,2,1,4,2,1,1,1] 100110010111=>[1,3,1,3,2,1,1,1] 101000110111=>[1,2,4,1,2,1,1,1] 100100110111=>[1,3,3,1,2,1,1,1] 110100001111=>[1,1,2,5,1,1,1,1] 101010001111=>[1,2,2,4,1,1,1,1] 101001001111=>[1,2,3,3,1,1,1,1] 100101001111=>[1,3,2,3,1,1,1,1] 101000101111=>[1,2,4,2,1,1,1,1] 100100101111=>[1,3,3,2,1,1,1,1] 110000011111=>[1,1,6,1,1,1,1,1] 000111110001=>[4,1,1,1,1,4,1] 001111100001=>[3,1,1,1,1,5,1] 001111000011=>[3,1,1,1,5,1,1] 011010110111=>[2,1,2,2,1,2,1,1,1] 011110110011=>[2,1,1,1,2,1,3,1,1] 011110111001=>[2,1,1,1,2,1,1,3,1] 011000100001=>[2,1,4,5,1] 010000100011=>[2,5,4,1,1] 011110100111=>[2,1,1,1,2,3,1,1,1] 000110100001=>[4,1,2,5,1] 010010100001=>[2,3,2,5,1] 011100101111=>[2,1,1,3,2,1,1,1,1] 011010000001=>[2,1,2,7,1] 010010000011=>[2,3,6,1,1] 000100101001=>[4,3,2,3,1] 010000101001=>[2,5,2,3,1] 011110001111=>[2,1,1,1,4,1,1,1,1] 000110001001=>[4,1,4,3,1] 010010001001=>[2,3,4,3,1] 101011000011=>[1,2,2,1,5,1,1] 110011000011=>[1,1,3,1,5,1,1] 111000011100=>[1,1,1,5,1,1,3] 101101000011=>[1,2,1,2,5,1,1] 110101000011=>[1,1,2,2,5,1,1] 111001000011=>[1,1,1,3,5,1,1] 110000111100=>[1,1,5,1,1,1,3] 000000000101=>[10,2,1] 010000010101=>[2,6,2,2,1] 000100010101=>[4,4,2,2,1] 100101011111=>[1,3,2,2,1,1,1,1,1] 100101110111=>[1,3,2,1,1,2,1,1,1] 010101110111=>[2,2,2,1,1,2,1,1,1] 000001010101=>[6,2,2,2,1] 011101010111=>[2,1,1,2,2,2,1,1,1] 011101110101=>[2,1,1,2,1,1,2,2,1] 011111011111=>[2,1,1,1,1,2,1,1,1,1,1] 000000011011=>[8,1,2,1,1] 000001100011=>[6,1,4,1,1] 000001001011=>[6,3,2,1,1] 000110000011=>[4,1,6,1,1] 000111101111=>[4,1,1,1,2,1,1,1,1] 000100100011=>[4,3,4,1,1] 000100001011=>[4,5,2,1,1] 011000000011=>[2,1,8,1,1] 011001101111=>[2,1,3,1,2,1,1,1,1] 011011011011=>[2,1,2,1,2,1,2,1,1] 011101101011=>[2,1,1,2,1,2,2,1,1] 010011101111=>[2,3,1,1,2,1,1,1,1] 010000001011=>[2,7,2,1,1] 110101100011=>[1,1,2,2,1,4,1,1] 110100111001=>[1,1,2,3,1,1,3,1] 110110010011=>[1,1,2,1,3,3,1,1] 110110011001=>[1,1,2,1,3,1,3,1] 110110001101=>[1,1,2,1,4,1,2,1] 110110100011=>[1,1,2,1,2,4,1,1] 110111000011=>[1,1,2,1,1,5,1,1] 110011011001=>[1,1,3,1,2,1,3,1] 110011100011=>[1,1,3,1,1,4,1,1] 110011100101=>[1,1,3,1,1,3,2,1] 110011101001=>[1,1,3,1,1,2,3,1] 110011110001=>[1,1,3,1,1,1,4,1] 111001010011=>[1,1,1,3,2,3,1,1] 111001001101=>[1,1,1,3,3,1,2,1] 111001100101=>[1,1,1,3,1,3,2,1] 111001100011=>[1,1,1,3,1,4,1,1] 111001101001=>[1,1,1,3,1,2,3,1] 111001110001=>[1,1,1,3,1,1,4,1] 111000110011=>[1,1,1,4,1,3,1,1] 111000110101=>[1,1,1,4,1,2,2,1] 111000111001=>[1,1,1,4,1,1,3,1] 111010010011=>[1,1,1,2,3,3,1,1] 111010011001=>[1,1,1,2,3,1,3,1] 111010001101=>[1,1,1,2,4,1,2,1] 111010100011=>[1,1,1,2,2,4,1,1] 111011000011=>[1,1,1,2,1,5,1,1] 101011100011=>[1,2,2,1,1,4,1,1] 101011110001=>[1,2,2,1,1,1,4,1] 111100010011=>[1,1,1,1,4,3,1,1] 111100011001=>[1,1,1,1,4,1,3,1] 111100001101=>[1,1,1,1,5,1,2,1] 111100100011=>[1,1,1,1,3,4,1,1] 111100110001=>[1,1,1,1,3,1,4,1] 101100111001=>[1,2,1,3,1,1,3,1] 111101000011=>[1,1,1,1,2,5,1,1] 101101100011=>[1,2,1,2,1,4,1,1] 101101110001=>[1,2,1,2,1,1,4,1] 111110000011=>[1,1,1,1,1,6,1,1] 101110010011=>[1,2,1,1,3,3,1,1] 101110011001=>[1,2,1,1,3,1,3,1] 101110100011=>[1,2,1,1,2,4,1,1] 101110110001=>[1,2,1,1,2,1,4,1] 000001111111=>[6,1,1,1,1,1,1,1] 000011111101=>[5,1,1,1,1,1,2,1] 000111111001=>[4,1,1,1,1,1,3,1] 001111000111=>[3,1,1,1,4,1,1,1] 001111001101=>[3,1,1,1,3,1,2,1] 001111011001=>[3,1,1,1,2,1,3,1] 001111110001=>[3,1,1,1,1,1,4,1] 001111100101=>[3,1,1,1,1,3,2,1] 011111100001=>[2,1,1,1,1,1,5,1] 011110011001=>[2,1,1,1,3,1,3,1] 011110000111=>[2,1,1,1,5,1,1,1] 011110001101=>[2,1,1,1,4,1,2,1] 011110110001=>[2,1,1,1,2,1,4,1] 011110100101=>[2,1,1,1,2,3,2,1] 110001110100=>[1,1,4,1,1,2,3] 110100011100=>[1,1,2,4,1,1,3] 011010100011=>[2,1,2,2,4,1,1] 000111011001=>[4,1,1,2,1,3,1] 010011011001=>[2,3,1,2,1,3,1] 001111010001=>[3,1,1,1,2,4,1] 011001000111=>[2,1,3,4,1,1,1] 011101000011=>[2,1,1,2,5,1,1] 100100100001=>[1,3,3,5,1] 100101101111=>[1,3,2,1,2,1,1,1,1] 101101110011=>[1,2,1,2,1,1,3,1,1] 100101111011=>[1,3,2,1,1,1,2,1,1] 100100011001=>[1,3,4,1,3,1] 101000011001=>[1,2,5,1,3,1] 100110111001=>[1,3,1,2,1,1,3,1] 101110111001=>[1,2,1,1,2,1,1,3,1] 100101111001=>[1,3,2,1,1,1,3,1] 101001111001=>[1,2,3,1,1,1,3,1] 101011111001=>[1,2,2,1,1,1,1,3,1] 100110010001=>[1,3,1,3,4,1] 100100010001=>[1,3,4,4,1] 101100010001=>[1,2,1,4,4,1] 100100110001=>[1,3,3,1,4,1] 101000110001=>[1,2,4,1,4,1] 100110100001=>[1,3,1,2,5,1] 101100100001=>[1,2,1,3,5,1] 101000100001=>[1,2,4,5,1] 100101100001=>[1,3,2,1,5,1] 101001100001=>[1,2,3,1,5,1] 100101000001=>[1,3,2,6,1] 101101000001=>[1,2,1,2,6,1] 101011000001=>[1,2,2,1,6,1] 101010000001=>[1,2,2,7,1] 101110011011=>[1,2,1,1,3,1,2,1,1] 100110111011=>[1,3,1,2,1,1,2,1,1] 101110111011=>[1,2,1,1,2,1,1,2,1,1] 101100111011=>[1,2,1,3,1,1,2,1,1] 101101111011=>[1,2,1,2,1,1,1,2,1,1] 101001111011=>[1,2,3,1,1,1,2,1,1] 101011111011=>[1,2,2,1,1,1,1,2,1,1] 100100010011=>[1,3,4,3,1,1] 101000010011=>[1,2,5,3,1,1] 101110110011=>[1,2,1,1,2,1,3,1,1] 101011110011=>[1,2,2,1,1,1,3,1,1] 100100100011=>[1,3,3,4,1,1] 101000100011=>[1,2,4,4,1,1] 100101000011=>[1,3,2,5,1,1] 101001000011=>[1,2,3,5,1,1] 101010000011=>[1,2,2,6,1,1] 101110110111=>[1,2,1,1,2,1,2,1,1,1] 101101110111=>[1,2,1,2,1,1,2,1,1,1] 101011110111=>[1,2,2,1,1,1,2,1,1,1] 101110100111=>[1,2,1,1,2,3,1,1,1] 101011100111=>[1,2,2,1,1,3,1,1,1] 100110101111=>[1,3,1,2,2,1,1,1,1] 101110101111=>[1,2,1,1,2,2,1,1,1,1] 101100101111=>[1,2,1,3,2,1,1,1,1] 101101101111=>[1,2,1,2,1,2,1,1,1,1] 101001101111=>[1,2,3,1,2,1,1,1,1] 101011101111=>[1,2,2,1,1,2,1,1,1,1] 101101001111=>[1,2,1,2,3,1,1,1,1] 101011001111=>[1,2,2,1,3,1,1,1,1] 101101011111=>[1,2,1,2,2,1,1,1,1,1] 101011011111=>[1,2,2,1,2,1,1,1,1,1] 101010011111=>[1,2,2,3,1,1,1,1,1] 101010111111=>[1,2,2,2,1,1,1,1,1,1] 010100000000=>[2,2,9] 000101000000=>[4,2,7] 010001000000=>[2,4,7] 011011000000=>[2,1,2,1,7] 000001010000=>[6,2,5] 010101010000=>[2,2,2,2,5] 000100010000=>[4,4,5] 010000010000=>[2,6,5] 011010010000=>[2,1,2,3,5] 000110110000=>[4,1,2,1,5] 010010110000=>[2,3,2,1,5] 011000110000=>[2,1,4,1,5] 000000010100=>[8,2,3] 010100010100=>[2,2,4,2,3] 000101010100=>[4,2,2,2,3] 010001010100=>[2,4,2,2,3] 000001000100=>[6,4,3] 010101000100=>[2,2,2,4,3] 000100000100=>[4,6,3] 010000000100=>[2,8,3] 011010000100=>[2,1,2,5,3] 000110100100=>[4,1,2,3,3] 010010100100=>[2,3,2,3,3] 011000100100=>[2,1,4,3,3] 000001101100=>[6,1,2,1,3] 000100101100=>[4,3,2,1,3] 010000101100=>[2,5,2,1,3] 000110001100=>[4,1,4,1,3] 010010001100=>[2,3,4,1,3] 011000001100=>[2,1,6,1,3] 011110111100=>[2,1,1,1,2,1,1,1,3] 010100000101=>[2,2,6,2,1] 000101000101=>[4,2,4,2,1] 010001000101=>[2,4,4,2,1] 011000110101=>[2,1,4,1,2,2,1] 000000010001=>[8,4,1] 010100010001=>[2,2,4,4,1] 000101010001=>[4,2,2,4,1] 010001010001=>[2,4,2,4,1] 000001000001=>[6,6,1] 010101000001=>[2,2,2,6,1] 000100000001=>[4,8,1] 010000000001=>[2,10,1] 000001101001=>[6,1,2,3,1] 011000001001=>[2,1,6,3,1] 010101100011=>[2,2,2,1,4,1,1] 011001010011=>[2,1,3,2,3,1,1] 111001000111=>[1,1,1,3,4,1,1,1] 111100000111=>[1,1,1,1,6,1,1,1] 011100110011=>[2,1,1,3,1,3,1,1] 011101100011=>[2,1,1,2,1,4,1,1] 011101000111=>[2,1,1,2,4,1,1,1] 111010000111=>[1,1,1,2,5,1,1,1] 111000001111=>[1,1,1,6,1,1,1,1] 001111010011=>[3,1,1,1,2,3,1,1] 001111101001=>[3,1,1,1,1,2,3,1] 000111110101=>[4,1,1,1,1,2,2,1] 011110010011=>[2,1,1,1,3,3,1,1] 000111110011=>[4,1,1,1,1,3,1,1] 110001111001=>[1,1,4,1,1,1,3,1] 011101110001=>[2,1,1,2,1,1,4,1] 011101100101=>[2,1,1,2,1,3,2,1] 011101001101=>[2,1,1,2,3,1,2,1] 011100011101=>[2,1,1,4,1,1,2,1] 011101010101=>[2,1,1,2,2,2,2,1] 011101010011=>[2,1,1,2,2,3,1,1] 011100110101=>[2,1,1,3,1,2,2,1] 011100001111=>[2,1,1,5,1,1,1,1] 001111010101=>[3,1,1,1,2,2,2,1] 110110000111=>[1,1,2,1,5,1,1,1] 111000011101=>[1,1,1,5,1,1,2,1] 011100111001=>[2,1,1,3,1,1,3,1] 011111001001=>[2,1,1,1,1,3,3,1] 011101101001=>[2,1,1,2,1,2,3,1] 011111000011=>[2,1,1,1,1,5,1,1] 011101011001=>[2,1,1,2,2,1,3,1] 011110010101=>[2,1,1,1,3,2,2,1] 011110101001=>[2,1,1,1,2,2,3,1] 011110100011=>[2,1,1,1,2,4,1,1] 001111100011=>[3,1,1,1,1,4,1,1] 011111000101=>[2,1,1,1,1,4,2,1] 011111010001=>[2,1,1,1,1,2,4,1]