=>

0=>2 1=>1 00=>3 01=>2 10=>1 11=>1 000=>4 001=>3 010=>2 011=>2 100=>1 101=>1 110=>1 111=>1 0000=>5 0001=>4 0010=>3 0011=>3 0100=>2 0101=>2 0110=>2 0111=>2 1000=>1 1001=>1 1010=>1 1011=>1 1100=>1 1101=>1 1110=>1 1111=>1 00000=>6 00001=>5 00010=>4 00011=>4 00100=>3 00101=>3 00110=>3 00111=>3 01000=>2 01001=>2 01010=>2 01011=>2 01100=>2 01101=>2 01110=>2 01111=>2 10000=>1 10001=>1 10010=>1 10011=>1 10100=>1 10101=>1 10110=>1 10111=>1 11000=>1 11001=>1 11010=>1 11011=>1 11100=>1 11101=>1 11110=>1 11111=>1 000000=>7 000001=>6 000010=>5 000011=>5 000100=>4 000101=>4 000110=>4 000111=>4 001000=>3 001001=>3 001010=>3 001011=>3 001100=>3 001101=>3 001110=>3 001111=>3 010000=>2 010001=>2 010010=>2 010011=>2 010100=>2 010101=>2 010110=>2 010111=>2 011000=>2 011001=>2 011010=>2 011011=>2 011100=>2 011101=>2 011110=>2 011111=>2 100000=>1 100001=>1 100010=>1 100011=>1 100100=>1 100101=>1 100110=>1 100111=>1 101000=>1 101001=>1 101010=>1 101011=>1 101100=>1 101101=>1 101110=>1 101111=>1 110000=>1 110001=>1 110010=>1 110011=>1 110100=>1 110101=>1 110110=>1 110111=>1 111000=>1 111001=>1 111010=>1 111011=>1 111100=>1 111101=>1 111110=>1 111111=>1 0000000=>8 0000001=>7 0000010=>6 0000011=>6 0000100=>5 0000101=>5 0000110=>5 0000111=>5 0001000=>4 0001001=>4 0001010=>4 0001011=>4 0001100=>4 0001101=>4 0001110=>4 0001111=>4 0010000=>3 0010001=>3 0010010=>3 0010011=>3 0010100=>3 0010101=>3 0010110=>3 0010111=>3 0011000=>3 0011001=>3 0011010=>3 0011011=>3 0011100=>3 0011101=>3 0011110=>3 0011111=>3 0100000=>2 0100001=>2 0100010=>2 0100011=>2 0100100=>2 0100101=>2 0100110=>2 0100111=>2 0101000=>2 0101001=>2 0101010=>2 0101011=>2 0101100=>2 0101101=>2 0101110=>2 0101111=>2 0110000=>2 0110001=>2 0110010=>2 0110011=>2 0110100=>2 0110101=>2 0110110=>2 0110111=>2 0111000=>2 0111001=>2 0111010=>2 0111011=>2 0111100=>2 0111101=>2 0111110=>2 0111111=>2 1000000=>1 1000001=>1 1000010=>1 1000011=>1 1000100=>1 1000101=>1 1000110=>1 1000111=>1 1001000=>1 1001001=>1 1001010=>1 1001011=>1 1001100=>1 1001101=>1 1001110=>1 1001111=>1 1010000=>1 1010001=>1 1010010=>1 1010011=>1 1010100=>1 1010101=>1 1010110=>1 1010111=>1 1011000=>1 1011001=>1 1011010=>1 1011011=>1 1011100=>1 1011101=>1 1011110=>1 1011111=>1 1100000=>1 1100001=>1 1100010=>1 1100011=>1 1100100=>1 1100101=>1 1100110=>1 1100111=>1 1101000=>1 1101001=>1 1101010=>1 1101011=>1 1101100=>1 1101101=>1 1101110=>1 1101111=>1 1110000=>1 1110001=>1 1110010=>1 1110011=>1 1110100=>1 1110101=>1 1110110=>1 1110111=>1 1111000=>1 1111001=>1 1111010=>1 1111011=>1 1111100=>1 1111101=>1 1111110=>1 1111111=>1 00000000=>9 00000001=>8 00000010=>7 00000011=>7 00000100=>6 00000101=>6 00000110=>6 00000111=>6 00001000=>5 00001001=>5 00001010=>5 00001011=>5 00001100=>5 00001101=>5 00001110=>5 00001111=>5 00010000=>4 00010001=>4 00010010=>4 00010011=>4 00010100=>4 00010101=>4 00010110=>4 00010111=>4 00011000=>4 00011001=>4 00011010=>4 00011011=>4 00011100=>4 00011101=>4 00011110=>4 00011111=>4 00100000=>3 00100001=>3 00100010=>3 00100011=>3 00100100=>3 00100101=>3 00100110=>3 00100111=>3 00101000=>3 00101001=>3 00101010=>3 00101011=>3 00101100=>3 00101101=>3 00101110=>3 00101111=>3 00110000=>3 00110001=>3 00110010=>3 00110011=>3 00110100=>3 00110101=>3 00110110=>3 00110111=>3 00111000=>3 00111001=>3 00111010=>3 00111011=>3 00111100=>3 00111101=>3 00111110=>3 00111111=>3 01000000=>2 01000001=>2 01000010=>2 01000011=>2 01000100=>2 01000101=>2 01000110=>2 01000111=>2 01001000=>2 01001001=>2 01001010=>2 01001011=>2 01001100=>2 01001101=>2 01001110=>2 01001111=>2 01010000=>2 01010001=>2 01010010=>2 01010011=>2 01010100=>2 01010101=>2 01010110=>2 01010111=>2 01011000=>2 01011001=>2 01011010=>2 01011011=>2 01011100=>2 01011101=>2 01011110=>2 01011111=>2 01100000=>2 01100001=>2 01100010=>2 01100011=>2 01100100=>2 01100101=>2 01100110=>2 01100111=>2 01101000=>2 01101001=>2 01101010=>2 01101011=>2 01101100=>2 01101101=>2 01101110=>2 01101111=>2 01110000=>2 01110001=>2 01110010=>2 01110011=>2 01110100=>2 01110101=>2 01110110=>2 01110111=>2 01111000=>2 01111001=>2 01111010=>2 01111011=>2 01111100=>2 01111101=>2 01111110=>2 01111111=>2 10000000=>1 10000001=>1 10000010=>1 10000011=>1 10000100=>1 10000101=>1 10000110=>1 10000111=>1 10001000=>1 10001001=>1 10001010=>1 10001011=>1 10001100=>1 10001101=>1 10001110=>1 10001111=>1 10010000=>1 10010001=>1 10010010=>1 10010011=>1 10010100=>1 10010101=>1 10010110=>1 10010111=>1 10011000=>1 10011001=>1 10011010=>1 10011011=>1 10011100=>1 10011101=>1 10011110=>1 10011111=>1 10100000=>1 10100001=>1 10100010=>1 10100011=>1 10100100=>1 10100101=>1 10100110=>1 10100111=>1 10101000=>1 10101001=>1 10101010=>1 10101011=>1 10101100=>1 10101101=>1 10101110=>1 10101111=>1 10110000=>1 10110001=>1 10110010=>1 10110011=>1 10110100=>1 10110101=>1 10110110=>1 10110111=>1 10111000=>1 10111001=>1 10111010=>1 10111011=>1 10111100=>1 10111101=>1 10111110=>1 10111111=>1 11000000=>1 11000001=>1 11000010=>1 11000011=>1 11000100=>1 11000101=>1 11000110=>1 11000111=>1 11001000=>1 11001001=>1 11001010=>1 11001011=>1 11001100=>1 11001101=>1 11001110=>1 11001111=>1 11010000=>1 11010001=>1 11010010=>1 11010011=>1 11010100=>1 11010101=>1 11010110=>1 11010111=>1 11011000=>1 11011001=>1 11011010=>1 11011011=>1 11011100=>1 11011101=>1 11011110=>1 11011111=>1 11100000=>1 11100001=>1 11100010=>1 11100011=>1 11100100=>1 11100101=>1 11100110=>1 11100111=>1 11101000=>1 11101001=>1 11101010=>1 11101011=>1 11101100=>1 11101101=>1 11101110=>1 11101111=>1 11110000=>1 11110001=>1 11110010=>1 11110011=>1 11110100=>1 11110101=>1 11110110=>1 11110111=>1 11111000=>1 11111001=>1 11111010=>1 11111011=>1 11111100=>1 11111101=>1 11111110=>1 11111111=>1 000000000=>10 000000001=>9 000000010=>8 000000011=>8 000000100=>7 000000101=>7 000000110=>7 000000111=>7 000001000=>6 000001001=>6 000001010=>6 000001011=>6 000001100=>6 000001101=>6 000001110=>6 000001111=>6 000010000=>5 000010001=>5 000010010=>5 000010011=>5 000010100=>5 000010101=>5 000010110=>5 000010111=>5 000011000=>5 000011001=>5 000011010=>5 000011011=>5 000011100=>5 000011101=>5 000011110=>5 000011111=>5 000100000=>4 000100001=>4 000100010=>4 000100011=>4 000100100=>4 000100101=>4 000100110=>4 000100111=>4 000101000=>4 000101001=>4 000101010=>4 000101011=>4 000101100=>4 000101101=>4 000101110=>4 000101111=>4 000110000=>4 000110001=>4 000110010=>4 000110011=>4 000110100=>4 000110101=>4 000110110=>4 000110111=>4 000111000=>4 000111001=>4 000111010=>4 000111011=>4 000111100=>4 000111101=>4 000111110=>4 000111111=>4 001000000=>3 001000001=>3 001000010=>3 001000011=>3 001000100=>3 001000101=>3 001000110=>3 001000111=>3 001001000=>3 001001001=>3 001001010=>3 001001011=>3 001001100=>3 001001101=>3 001001110=>3 001001111=>3 001010000=>3 001010001=>3 001010010=>3 001010011=>3 001010100=>3 001010101=>3 001010110=>3 001010111=>3 001011000=>3 001011001=>3 001011010=>3 001011011=>3 001011100=>3 001011101=>3 001011110=>3 001011111=>3 001100000=>3 001100001=>3 001100010=>3 001100011=>3 001100100=>3 001100101=>3 001100110=>3 001100111=>3 001101000=>3 001101001=>3 001101010=>3 001101011=>3 001101100=>3 001101101=>3 001101110=>3 001101111=>3 001110000=>3 001110001=>3 001110010=>3 001110011=>3 001110100=>3 001110101=>3 001110110=>3 001110111=>3 001111000=>3 001111001=>3 001111010=>3 001111011=>3 001111100=>3 001111101=>3 001111110=>3 001111111=>3 010000000=>2 010000001=>2 010000010=>2 010000011=>2 010000100=>2 010000101=>2 010000110=>2 010000111=>2 010001000=>2 010001001=>2 010001010=>2 010001011=>2 010001100=>2 010001101=>2 010001110=>2 010001111=>2 010010000=>2 010010001=>2 010010010=>2 010010011=>2 010010100=>2 010010101=>2 010010110=>2 010010111=>2 010011000=>2 010011001=>2 010011010=>2 010011011=>2 010011100=>2 010011101=>2 010011110=>2 010011111=>2 010100000=>2 010100001=>2 010100010=>2 010100011=>2 010100100=>2 010100101=>2 010100110=>2 010100111=>2 010101000=>2 010101001=>2 010101010=>2 010101011=>2 010101100=>2 010101101=>2 010101110=>2 010101111=>2 010110000=>2 010110001=>2 010110010=>2 010110011=>2 010110100=>2 010110101=>2 010110110=>2 010110111=>2 010111000=>2 010111001=>2 010111010=>2 010111011=>2 010111100=>2 010111101=>2 010111110=>2 010111111=>2 011000000=>2 011000001=>2 011000010=>2 011000011=>2 011000100=>2 011000101=>2 011000110=>2 011000111=>2 011001000=>2 011001001=>2 011001010=>2 011001011=>2 011001100=>2 011001101=>2 011001110=>2 011001111=>2 011010000=>2 011010001=>2 011010010=>2 011010011=>2 011010100=>2 011010101=>2 011010110=>2 011010111=>2 011011000=>2 011011001=>2 011011010=>2 011011011=>2 011011100=>2 011011101=>2 011011110=>2 011011111=>2 011100000=>2 011100001=>2 011100010=>2 011100011=>2 011100100=>2 011100101=>2 011100110=>2 011100111=>2 011101000=>2 011101001=>2 011101010=>2 011101011=>2 011101100=>2 011101101=>2 011101110=>2 011101111=>2 011110000=>2 011110001=>2 011110010=>2 011110011=>2 011110100=>2 011110101=>2 011110110=>2 011110111=>2 011111000=>2 011111001=>2 011111010=>2 011111011=>2 011111100=>2 011111101=>2 011111110=>2 011111111=>2 100000000=>1 100000001=>1 100000010=>1 100000011=>1 100000100=>1 100000101=>1 100000110=>1 100000111=>1 100001000=>1 100001001=>1 100001010=>1 100001011=>1 100001100=>1 100001101=>1 100001110=>1 100001111=>1 100010000=>1 100010001=>1 100010010=>1 100010011=>1 100010100=>1 100010101=>1 100010110=>1 100010111=>1 100011000=>1 100011001=>1 100011010=>1 100011011=>1 100011100=>1 100011101=>1 100011110=>1 100011111=>1 100100000=>1 100100001=>1 100100010=>1 100100011=>1 100100100=>1 100100101=>1 100100110=>1 100100111=>1 100101000=>1 100101001=>1 100101010=>1 100101011=>1 100101100=>1 100101101=>1 100101110=>1 100101111=>1 100110000=>1 100110001=>1 100110010=>1 100110011=>1 100110100=>1 100110101=>1 100110110=>1 100110111=>1 100111000=>1 100111001=>1 100111010=>1 100111011=>1 100111100=>1 100111101=>1 100111110=>1 100111111=>1 101000000=>1 101000001=>1 101000010=>1 101000011=>1 101000100=>1 101000101=>1 101000110=>1 101000111=>1 101001000=>1 101001001=>1 101001010=>1 101001011=>1 101001100=>1 101001101=>1 101001110=>1 101001111=>1 101010000=>1 101010001=>1 101010010=>1 101010011=>1 101010100=>1 101010101=>1 101010110=>1 101010111=>1 101011000=>1 101011001=>1 101011010=>1 101011011=>1 101011100=>1 101011101=>1 101011110=>1 101011111=>1 101100000=>1 101100001=>1 101100010=>1 101100011=>1 101100100=>1 101100101=>1 101100110=>1 101100111=>1 101101000=>1 101101001=>1 101101010=>1 101101011=>1 101101100=>1 101101101=>1 101101110=>1 101101111=>1 101110000=>1 101110001=>1 101110010=>1 101110011=>1 101110100=>1 101110101=>1 101110110=>1 101110111=>1 101111000=>1 101111001=>1 101111010=>1 101111011=>1 101111100=>1 101111101=>1 101111110=>1 101111111=>1 110000000=>1 110000001=>1 110000010=>1 110000011=>1 110000100=>1 110000101=>1 110000110=>1 110000111=>1 110001000=>1 110001001=>1 110001010=>1 110001011=>1 110001100=>1 110001101=>1 110001110=>1 110001111=>1 110010000=>1 110010001=>1 110010010=>1 110010011=>1 110010100=>1 110010101=>1 110010110=>1 110010111=>1 110011000=>1 110011001=>1 110011010=>1 110011011=>1 110011100=>1 110011101=>1 110011110=>1 110011111=>1 110100000=>1 110100001=>1 110100010=>1 110100011=>1 110100100=>1 110100101=>1 110100110=>1 110100111=>1 110101000=>1 110101001=>1 110101010=>1 110101011=>1 110101100=>1 110101101=>1 110101110=>1 110101111=>1 110110000=>1 110110001=>1 110110010=>1 110110011=>1 110110100=>1 110110101=>1 110110110=>1 110110111=>1 110111000=>1 110111001=>1 110111010=>1 110111011=>1 110111100=>1 110111101=>1 110111110=>1 110111111=>1 111000000=>1 111000001=>1 111000010=>1 111000011=>1 111000100=>1 111000101=>1 111000110=>1 111000111=>1 111001000=>1 111001001=>1 111001010=>1 111001011=>1 111001100=>1 111001101=>1 111001110=>1 111001111=>1 111010000=>1 111010001=>1 111010010=>1 111010011=>1 111010100=>1 111010101=>1 111010110=>1 111010111=>1 111011000=>1 111011001=>1 111011010=>1 111011011=>1 111011100=>1 111011101=>1 111011110=>1 111011111=>1 111100000=>1 111100001=>1 111100010=>1 111100011=>1 111100100=>1 111100101=>1 111100110=>1 111100111=>1 111101000=>1 111101001=>1 111101010=>1 111101011=>1 111101100=>1 111101101=>1 111101110=>1 111101111=>1 111110000=>1 111110001=>1 111110010=>1 111110011=>1 111110100=>1 111110101=>1 111110110=>1 111110111=>1 111111000=>1 111111001=>1 111111010=>1 111111011=>1 111111100=>1 111111101=>1 111111110=>1 111111111=>1 1010101010=>1 1010101100=>1 1010110010=>1 1010110100=>1 1010111000=>1 1011001010=>1 1011001100=>1 1011010010=>1 1011010100=>1 1011011000=>1 1011100010=>1 1011100100=>1 1011101000=>1 1011110000=>1 1100101010=>1 1100101100=>1 1100110010=>1 1100110100=>1 1100111000=>1 1101001010=>1 1101001100=>1 1101010010=>1 1101010100=>1 1101011000=>1 1101100010=>1 1101100100=>1 1101101000=>1 1101110000=>1 1110001010=>1 1110001100=>1 1110010010=>1 1110010100=>1 1110011000=>1 1110100010=>1 1110100100=>1 1110101000=>1 1110110000=>1 1111000010=>1 1111000100=>1 1111001000=>1 1111010000=>1 1111100000=>1 1111111110=>1 1111111101=>1 1111000001=>1 1110111110=>1 1110100001=>1 1110011110=>1 1110010001=>1 1110001001=>1 1110000101=>1 1101111110=>1 1101100001=>1 1101010001=>1 1101001110=>1 1101001001=>1 1101000101=>1 1100110001=>1 1100101001=>1 1100100110=>1 1100100101=>1 1100011001=>1 1100010101=>1 1100010010=>1 1100001000=>1 1011111110=>1 1011111101=>1 1011100001=>1 1011010001=>1 1011001001=>1 1011000101=>1 1010111110=>1 1010110001=>1 1010101001=>1 1010100110=>1 1010100101=>1 1010011010=>1 1010011001=>1 1010010110=>1 1010010101=>1 1010001110=>1 1001111110=>1 1001111000=>1 1001110100=>1 1001110001=>1 1001101100=>1 1001101010=>1 1001101001=>1 1001100110=>1 1001100101=>1 1001011110=>1 1001011010=>1 1001011001=>1 1001010110=>1 1001010101=>1 1001001110=>1 1000111110=>1 1000111100=>1 1000111010=>1 1000110110=>1 1000101110=>1 1000011110=>1 1000010110=>1 1000001110=>1 1000001010=>1 1000000110=>1 1000000100=>1 1000000010=>1 1000000000=>1 0111111111=>2 0111111101=>2 0111111001=>2 0111110001=>2 0111100001=>2 0111000001=>2 0110000001=>2 0100000001=>2 0000000001=>10 0111111011=>2 0111110101=>2 0111101001=>2 0111010001=>2 0110100001=>2 0101000001=>2 0010000001=>3 0101010101=>2 0101010011=>2 0101001101=>2 0101001011=>2 0101000111=>2 0100110101=>2 0100110011=>2 0100101101=>2 0100101011=>2 0100100111=>2 0100011101=>2 0100011011=>2 0100010111=>2 0100001111=>2 0011010101=>3 0011010011=>3 0011001101=>3 0011001011=>3 0011000111=>3 0010110101=>3 0010110011=>3 0010101101=>3 0010101011=>3 0010100111=>3 0010011101=>3 0010011011=>3 0010010111=>3 0010001111=>3 0001110101=>4 0001110011=>4 0001101101=>4 0001101011=>4 0001100111=>4 0001011101=>4 0001011011=>4 0001010111=>4 0001001111=>4 0000111101=>5 0000111011=>5 0000110111=>5 0000101111=>5 0000011111=>6 0000000000=>11 0000000110=>8 0000011000=>6 0000011110=>6 0000010010=>6 0001100000=>4 0001100110=>4 0001111000=>4 0001111110=>4 0001110010=>4 0001001000=>4 0001001110=>4 0001000010=>4 0001011010=>4 0100000010=>2 0010101010=>3 0010101000=>3 0010101100=>3 0010100100=>3 0010010100=>3 0001010100=>4 0010101110=>3 0010100000=>3 0010111100=>3 0010000100=>3 0011110100=>3 0000010100=>6 0111010100=>2 0000000010=>9 0000001110=>7 0000111110=>5 0000000100=>8 0000001010=>7 0000010110=>6 0000101110=>5 0001011110=>4 0100000000=>2 0100000011=>2 0100000111=>2 0100011111=>2 0100111111=>2 0101111111=>2 0100000101=>2 0100001011=>2 0100101111=>2 0101011111=>2 0110111111=>2 0101010110=>2 0101011001=>2 0101011010=>2 0101011100=>2 0101100101=>2 0101100110=>2 0101101001=>2 0101101010=>2 0101101100=>2 0101110001=>2 0101110010=>2 0101110100=>2 0101111000=>2 0110010101=>2 0110010110=>2 0110011001=>2 0110011010=>2 0110011100=>2 0110100101=>2 0110100110=>2 0110101001=>2 0110101010=>2 0110101100=>2 0110110001=>2 0110110010=>2 0110110100=>2 0110111000=>2 0111000101=>2 0111000110=>2 0111001001=>2 0111001010=>2 0111001100=>2 0111010010=>2 0111011000=>2 0111100010=>2 0111100100=>2 0111101000=>2 0111110000=>2 0100000100=>2 0011100110=>3 0011101010=>3 0011101100=>3 0001101110=>4 0010110110=>3 0011110010=>3 0001110110=>4 0100111010=>2 0010111010=>3 0011111000=>3 0001111010=>4 0100111100=>2 0001111100=>4 0000000101=>8 0000001101=>7 0000011101=>6 0001111101=>4 0011111101=>3 0000001001=>7 0000010101=>6 0000101101=>5 0010111101=>3 0101111101=>2 0010110001=>3 0001100001=>4 0001000001=>4 0000111111=>5 0001110100=>4 0001101100=>4 0010011100=>3 0001011100=>4 0000111100=>5 0001101010=>4 0010011010=>3 0000111010=>5 0010100110=>3 0010010110=>3 0001010110=>4 0000110110=>5 0010001110=>3 0001101001=>4 0000110001=>5 0000010001=>6 0000001100=>7 0000011001=>6 0000110011=>5 0000110100=>5 0000000011=>9 0000011011=>6 0001101111=>4 0000110101=>5 0010000010=>3 0001000011=>4 0010011110=>3 0001010000=>4 0001000100=>4 0001010101=>4 0001001011=>4 0001100011=>4 0001110111=>4 0010000000=>3 0000000111=>8 0000001111=>7 0001111111=>4 0000001011=>7 0000010111=>6 0001011111=>4 0001111001=>4 0000011010=>6 0000101010=>5 0000100101=>5 0010010001=>3 0010000101=>3 0010010101=>3 0010010011=>3 0000101011=>5 0001000111=>4 0000100111=>5 0010010010=>3 0001001010=>4 0001001001=>4 0001000101=>4 0000100011=>5 0000100100=>5 0000100010=>5 0010110000=>3 0000011100=>6 0000001000=>7 0000101100=>5 0010101111=>3 0000101000=>5 0010001000=>3 0001001100=>4 0001000110=>4 0001100100=>4 0001100010=>4 0000100110=>5 0000110010=>5 0010010000=>3 0001010010=>4 0001000000=>4 0001011001=>4 0001100101=>4 0001110001=>4 0010011001=>3 0010100101=>3 0010101001=>3 0010011111=>3 0000111001=>5 0010001101=>3 0001001101=>4 0001010001=>4 0001010011=>4 0001111011=>4 0010011000=>3 0001011000=>4 0000100000=>5 0010001011=>3 0010000111=>3 0000010011=>6 0010001100=>3 0010000110=>3 0000110000=>5 0000100001=>5 0010100011=>3 0010100001=>3 0000111000=>5 0001101000=>4 0000010000=>6 0000101001=>5 0010100010=>3 0010001001=>3 0010000011=>3 0010001010=>3 0001110000=>4 10000000000=>1 10000000010=>1 10000000110=>1 10000001110=>1 10000011110=>1 10000111110=>1 10001111110=>1 10011111110=>1 10111111110=>1 11111111110=>1 10000000100=>1 10000001010=>1 10000010110=>1 10000101110=>1 10001011110=>1 10010111110=>1 10101111110=>1 11011111110=>1 10000010000=>1 10000100010=>1 10001000010=>1 10000100100=>1 10001001010=>1 10001000100=>1 10000101000=>1 10010001010=>1 10001010010=>1 10010000100=>1 10001001000=>1 10010010010=>1 10001010100=>1 10010101010=>1 10010001000=>1 10100010010=>1 10010100010=>1 10010010100=>1 10100101010=>1 01111111111=>2 01111111101=>2 01111111001=>2 01111110001=>2 01111100001=>2 01111000001=>2 01110000001=>2 01100000001=>2 01000000001=>2 00000000001=>11 00000000010=>10 10101010101=>1 10101010010=>1 10101001001=>1 10101001010=>1 10101000100=>1 10100100101=>1 10100100010=>1 10100101001=>1 10100100100=>1 10100010001=>1 10100010100=>1 10100001000=>1 10010010101=>1 10010001001=>1 10010100101=>1 10010101001=>1 10010100100=>1 10010010001=>1 10001000101=>1 10001001001=>1 10001010001=>1 10000100001=>1 01001010101=>2 01001010010=>2 01001001001=>2 01001001010=>2 01001000100=>2 01000100101=>2 01000100010=>2 01000101001=>2 01000101010=>2 01000100100=>2 01000010001=>2 01000010010=>2 01000010100=>2 01000001000=>2 01010010101=>2 01010010010=>2 01010001001=>2 01010001010=>2 01010000100=>2 01010100101=>2 01010100010=>2 01010101001=>2 01010101010=>2 01010100100=>2 01010010001=>2 01010010100=>2 01010001000=>2 01001000101=>2 01001000010=>2 01001010001=>2 01001010100=>2 01001001000=>2 01000100001=>2 01000101000=>2 01000010000=>2 00100010101=>3 00100010010=>3 00100001001=>3 00100001010=>3 00100000100=>3 00100100101=>3 00100100010=>3 00100101001=>3 00100101010=>3 00100100100=>3 00100010001=>3 00100010100=>3 00100001000=>3 00101000101=>3 00101000010=>3 00101001001=>3 00101001010=>3 00101000100=>3 00101010001=>3 00101010010=>3 00101010100=>3 00101001000=>3 00100100001=>3 00100101000=>3 00100010000=>3 00010000101=>4 00010000010=>4 00010001001=>4 00010001010=>4 00010000100=>4 00010010001=>4 00010010010=>4 00010010100=>4 00010001000=>4 00010100001=>4 00010100010=>4 00010100100=>4 00010101000=>4 00010010000=>4 00001000001=>5 00001000010=>5 00001000100=>5 00001001000=>5 00001010000=>5 00000100000=>6 01000000000=>2 01000000011=>2 01000000111=>2 01000001111=>2 01000011111=>2 01000111111=>2 01001111111=>2 01011111111=>2 00000000101=>9 00000001101=>8 00000011101=>7 00000111101=>6 00001111101=>5 00011111101=>4 00111111101=>3 11111111101=>1 101010101010=>1 101010101100=>1 101010110010=>1 101010110100=>1 101010111000=>1 101011001010=>1 101011001100=>1 101011010010=>1 101011010100=>1 101011011000=>1 101011100010=>1 101011100100=>1 101011101000=>1 101011110000=>1 101100101010=>1 101100101100=>1 101100110010=>1 101100110100=>1 101100111000=>1 101101001010=>1 101101001100=>1 101101010010=>1 101101010100=>1 101101011000=>1 101101100010=>1 101101100100=>1 101101101000=>1 101101110000=>1 101110001010=>1 101110001100=>1 101110010010=>1 101110010100=>1 101110011000=>1 101110100010=>1 101110100100=>1 101110101000=>1 101110110000=>1 101111000010=>1 101111000100=>1 101111001000=>1 101111010000=>1 101111100000=>1 110010101010=>1 110010101100=>1 110010110010=>1 110010110100=>1 110010111000=>1 110011001010=>1 110011001100=>1 110011010010=>1 110011010100=>1 110011011000=>1 110011100010=>1 110011100100=>1 110011101000=>1 110011110000=>1 110100101010=>1 110100101100=>1 110100110010=>1 110100110100=>1 110100111000=>1 110101001010=>1 110101001100=>1 110101010010=>1 110101010100=>1 110101011000=>1 110101100010=>1 110101100100=>1 110101101000=>1 110101110000=>1 110110001010=>1 110110001100=>1 110110010010=>1 110110010100=>1 110110011000=>1 110110100010=>1 110110100100=>1 110110101000=>1 110110110000=>1 110111000010=>1 110111000100=>1 110111001000=>1 110111010000=>1 110111100000=>1 111000101010=>1 111000101100=>1 111000110010=>1 111000110100=>1 111000111000=>1 111001001010=>1 111001001100=>1 111001010010=>1 111001010100=>1 111001011000=>1 111001100010=>1 111001100100=>1 111001101000=>1 111001110000=>1 111010001010=>1 111010001100=>1 111010010010=>1 111010010100=>1 111010011000=>1 111010100010=>1 111010100100=>1 111010101000=>1 111010110000=>1 111011000010=>1 111011000100=>1 111011001000=>1 111011010000=>1 111011100000=>1 111100001010=>1 111100001100=>1 111100010010=>1 111100010100=>1 111100011000=>1 111100100010=>1 111100100100=>1 111100101000=>1 111100110000=>1 111101000010=>1 111101000100=>1 111101001000=>1 111101010000=>1 111101100000=>1 111110000010=>1 111110000100=>1 111110001000=>1 111110010000=>1 111110100000=>1 111111000000=>1 100001111100=>1 010101010101=>2 010101010011=>2 010101001101=>2 010101001011=>2 010101000111=>2 010100110101=>2 010100110011=>2 010100101101=>2 010100101011=>2 010100100111=>2 010100011101=>2 010100011011=>2 010100010111=>2 010100001111=>2 010011010101=>2 010011010011=>2 010011001101=>2 010011001011=>2 010011000111=>2 010010110101=>2 010010110011=>2 010010101101=>2 010010101011=>2 010010100111=>2 010010011101=>2 010010011011=>2 010010010111=>2 010010001111=>2 010001110101=>2 010001110011=>2 010001101101=>2 010001101011=>2 010001100111=>2 010001011101=>2 010001011011=>2 010001010111=>2 010001001111=>2 010000111101=>2 010000111011=>2 010000110111=>2 010000101111=>2 010000011111=>2 001101010101=>3 001101010011=>3 001101001101=>3 001101001011=>3 001101000111=>3 001100110101=>3 001100110011=>3 001100101101=>3 001100101011=>3 001100100111=>3 001100011101=>3 001100011011=>3 001100010111=>3 001100001111=>3 001011010101=>3 001011010011=>3 001011001101=>3 001011001011=>3 001011000111=>3 001010110101=>3 001010110011=>3 001010101101=>3 001010101011=>3 001010100111=>3 001010011101=>3 001010011011=>3 001010010111=>3 001010001111=>3 001001110101=>3 001001110011=>3 001001101101=>3 001001101011=>3 001001100111=>3 001001011101=>3 001001011011=>3 001001010111=>3 001001001111=>3 001000111101=>3 001000111011=>3 001000110111=>3 001000101111=>3 001000011111=>3 000111010101=>4 000111010011=>4 000111001101=>4 000111001011=>4 000111000111=>4 000110110101=>4 000110110011=>4 000110101101=>4 000110101011=>4 000110100111=>4 000110011101=>4 000110011011=>4 000110010111=>4 000110001111=>4 000101110101=>4 000101110011=>4 000101101101=>4 000101101011=>4 000101100111=>4 000101011101=>4 000101011011=>4 000101010111=>4 000101001111=>4 000100111101=>4 000100111011=>4 000100110111=>4 000100101111=>4 000100011111=>4 000011110101=>5 000011110011=>5 000011101101=>5 000011101011=>5 000011100111=>5 000011011101=>5 000011011011=>5 000011010111=>5 000011001111=>5 000010111101=>5 000010111011=>5 000010110111=>5 000010101111=>5 000010011111=>5 000001111101=>6 000001111011=>6 000001110111=>6 000001101111=>6 000001011111=>6 000000111111=>7 111110000001=>1 111001100001=>1 111000011001=>1 111000110001=>1 111000100101=>1 111011000001=>1 111010010001=>1 111010000101=>1 100111100001=>1 100110011001=>1 100110110001=>1 100110100101=>1 101101100001=>1 101100011001=>1 101100110001=>1 101100100101=>1 101111000001=>1 101110010001=>1 101110000101=>1 101001011001=>1 101001110001=>1 101001100101=>1 101011010001=>1 101011000101=>1 101010010101=>1 000001111110=>6 000111100110=>4 000111111000=>4 000111110010=>4 000111001110=>4 000111011010=>4 000101101110=>4 000101111010=>4 011001100110=>2 011001111000=>2 011001110010=>2 011001011010=>2 011110000110=>2 011110011000=>2 011110010010=>2 011111100000=>2 011111001000=>2 011111000010=>2 011100100110=>2 011100111000=>2 011100110010=>2 011100011010=>2 011101101000=>2 011101100010=>2 011101001010=>2 010011111000=>2 010011110010=>2 010011011010=>2 010001111010=>2 010110100110=>2 010110111000=>2 010110110010=>2 010110011010=>2 010111101000=>2 010111100010=>2 010111001010=>2 010101101010=>2 010101010110=>2 010101011001=>2 010101011010=>2 010101011100=>2 010101100101=>2 010101100110=>2 010101101001=>2 010101101100=>2 010101110001=>2 010101110010=>2 010101110100=>2 010101111000=>2 010110010101=>2 010110010110=>2 010110011001=>2 010110011100=>2 010110100101=>2 010110101001=>2 010110101010=>2 010110101100=>2 010110110001=>2 010110110100=>2 010111000101=>2 010111000110=>2 010111001001=>2 010111001100=>2 010111010001=>2 010111010010=>2 010111010100=>2 010111011000=>2 010111100001=>2 010111100100=>2 010111110000=>2 011001010101=>2 011001010110=>2 011001011001=>2 011001011100=>2 011001100101=>2 011001101001=>2 011001101010=>2 011001101100=>2 011001110001=>2 011001110100=>2 011010010101=>2 011010010110=>2 011010011001=>2 011010011010=>2 011010011100=>2 011010100101=>2 011010100110=>2 011010101001=>2 011010101010=>2 011010101100=>2 011010110001=>2 011010110010=>2 011010110100=>2 011010111000=>2 011011000101=>2 011011000110=>2 011011001001=>2 011011001010=>2 011011001100=>2 011011010001=>2 011011010010=>2 011011010100=>2 011011011000=>2 011011100001=>2 011011100010=>2 011011100100=>2 011011101000=>2 011011110000=>2 011100010101=>2 011100010110=>2 011100011001=>2 011100011100=>2 011100100101=>2 011100101001=>2 011100101010=>2 011100101100=>2 011100110001=>2 011100110100=>2 011101000101=>2 011101000110=>2 011101001001=>2 011101001100=>2 011101010001=>2 011101010010=>2 011101010100=>2 011101011000=>2 011101100001=>2 011101100100=>2 011101110000=>2 011110000101=>2 011110001001=>2 011110001010=>2 011110001100=>2 011110010001=>2 011110010100=>2 011110100001=>2 011110100010=>2 011110100100=>2 011110101000=>2 011110110000=>2 011111000001=>2 011111000100=>2 011111010000=>2 001111000110=>3 001111001010=>3 100111001100=>1 001111001100=>3 001011010110=>3 001111010010=>3 100111010100=>1 001111010100=>3 000111010110=>4 001011011010=>3 100111011000=>1 001111011000=>3 100011011100=>1 010011011100=>2 001011011100=>3 000111011100=>4 000011011110=>5 001101100110=>3 001101101010=>3 100101101100=>1 001101101100=>3 001011100110=>3 001111100010=>3 100111100100=>1 001111100100=>3 010011101010=>2 001011101010=>3 100111101000=>1 001111101000=>3 000111101010=>4 100011101100=>1 010011101100=>2 001011101100=>3 000111101100=>4 000011101110=>5 101001110100=>1 001001110110=>3 001101110010=>3 100101110100=>1 001101110100=>3 000101110110=>4 001011110010=>3 100111110000=>1 001111110000=>3 100011110100=>1 010011110100=>2 001011110100=>3 000111110100=>4 000011110110=>5 110001111000=>1 101001111000=>1 001001111010=>3 100101111000=>1 001101111000=>3 100011111000=>1 001011111000=>3 000011111010=>5 010001111100=>2 001001111100=>3 000101111100=>4 000011111100=>5 100101010101=>1 100101011001=>1 100101100101=>1 100101101001=>1 100101110001=>1 100110010101=>1 100110101001=>1 100111000101=>1 100111001001=>1 100111010001=>1 101001010101=>1 101001101001=>1 101010011001=>1 101010100101=>1 101010101001=>1 101010110001=>1 101011001001=>1 101011100001=>1 101100010101=>1 101100101001=>1 101101000101=>1 101101001001=>1 101101010001=>1 101110001001=>1 101110100001=>1 110001010101=>1 110001011001=>1 110001100101=>1 110001101001=>1 110001110001=>1 110010010101=>1 110010011001=>1 110010100101=>1 110010101001=>1 110010110001=>1 110011000101=>1 110011001001=>1 110011010001=>1 110011100001=>1 110100010101=>1 110100011001=>1 110100100101=>1 110100101001=>1 110100110001=>1 110101000101=>1 110101001001=>1 110101010001=>1 110101100001=>1 110110000101=>1 110110001001=>1 110110010001=>1 110110100001=>1 110111000001=>1 111000010101=>1 111000101001=>1 111001000101=>1 111001001001=>1 111001010001=>1 111010001001=>1 111010100001=>1 111100000101=>1 111100001001=>1 111100010001=>1 111100100001=>1 111101000001=>1 10110111100000=>1 10111011010000=>1 10111011100000=>1 10111100110000=>1 10111101001000=>1 10111101010000=>1 10111101100000=>1 10111110000100=>1 10111110001000=>1 10111110010000=>1 10111110100000=>1 10111111000000=>1 11001111100000=>1 11011110000010=>1 11101101000010=>1 11101110000010=>1 11110011000010=>1 11110100100010=>1 11110101000010=>1 11110110000010=>1 11111000001100=>1 11111000010010=>1 11111000100010=>1 11111001000010=>1 11111010000010=>1 11111100000010=>1 1011110111000000=>1 1011111010100000=>1 1011111011000000=>1 1011111100010000=>1 1011111100100000=>1 1011111101000000=>1 1011111110000000=>1 1111011100000010=>1 1111101010000010=>1 1111101100000010=>1 1111110001000010=>1 1111110010000010=>1 1111110100000010=>1 1111111000000010=>1 111111110000000010=>1 101111111100000000=>1 111111101000000010=>1 101111111010000000=>1 111111100100000010=>1 111111011000000010=>1 101111111001000000=>1 101111110110000000=>1 11111111100000000010=>1 10111111111000000000=>1 11111111010000000010=>1 10111111110100000000=>1 1111111111000000000010=>1 1011111111110000000000=>1