100111 => 101110 => 3
101000 => 101000 => 5
101001 => 110010 => 4
101010 => 111000 => 6
101011 => 111010 => 5
101100 => 101100 => 4
101101 => 111100 => 6
101110 => 111010 => 5
101111 => 111110 => 6
110000 => 100010 => 3
110001 => 100110 => 3
110010 => 101100 => 4
110011 => 101110 => 3
110100 => 110010 => 4
110101 => 111010 => 5
110110 => 111100 => 6
110111 => 111110 => 6
111000 => 100110 => 3
111001 => 101110 => 3
111010 => 111010 => 5
111011 => 111110 => 6
111100 => 101110 => 3
111101 => 111110 => 6
111110 => 111110 => 6
111111 => 111111 => 6
0000000 => 0000000 => 7
0000001 => 1000000 => 7
0000010 => 1000000 => 7
0000011 => 1000010 => 3
0000100 => 1000000 => 7
0000101 => 1001000 => 5
0000110 => 1000010 => 3
0000111 => 1000110 => 3
0001000 => 1000000 => 7
0001001 => 1100000 => 7
0001010 => 1001000 => 5
0001011 => 1001100 => 4
0001100 => 1000010 => 3
0001101 => 1010010 => 4
0001110 => 1000110 => 3
0001111 => 1001110 => 3
0010000 => 1000000 => 7
0010001 => 1100000 => 7
0010010 => 1100000 => 7
0010011 => 1100100 => 5
0010100 => 1001000 => 5
0010101 => 1110000 => 7
0010110 => 1001100 => 4
0010111 => 1011010 => 4
0011000 => 1000010 => 3
0011001 => 1100100 => 5
0011010 => 1010010 => 4
0011011 => 1101100 => 5
0011100 => 1000110 => 3
0011101 => 1100110 => 4
0011110 => 1001110 => 3
0011111 => 1011110 => 3
0100000 => 1000000 => 7
0100001 => 1001000 => 5
0100010 => 1100000 => 7
0100011 => 1010010 => 4
0100100 => 1100000 => 7
0100101 => 1110000 => 7
0100110 => 1100100 => 5
0100111 => 1100110 => 4
0101000 => 1001000 => 5
0101001 => 1110000 => 7
0101010 => 1110000 => 7
0101011 => 1111000 => 7
0101100 => 1001100 => 4
0101101 => 1111000 => 7
0101110 => 1011010 => 4
0101111 => 1110110 => 5
0110000 => 1000010 => 3
0110001 => 1001100 => 4
0110010 => 1100100 => 5
0110011 => 1101100 => 5
0110100 => 1010010 => 4
0110101 => 1111000 => 7
0110110 => 1101100 => 5
0110111 => 1111100 => 7
0111000 => 1000110 => 3
0111001 => 1011010 => 4
0111010 => 1100110 => 4
0111011 => 1111100 => 7
0111100 => 1001110 => 3
0111101 => 1110110 => 5
0111110 => 1011110 => 3
0111111 => 1111110 => 7
1000000 => 1000000 => 7
1000001 => 1000010 => 3
1000010 => 1001000 => 5
1000011 => 1000110 => 3
1000100 => 1100000 => 7
1000101 => 1001100 => 4
1000110 => 1010010 => 4
1000111 => 1001110 => 3
1001000 => 1100000 => 7
1001001 => 1100100 => 5
1001010 => 1110000 => 7
1001011 => 1011010 => 4
1001100 => 1100100 => 5
1001101 => 1101100 => 5
1001110 => 1100110 => 4
1001111 => 1011110 => 3
1010000 => 1001000 => 5
1010001 => 1010010 => 4
1010010 => 1110000 => 7
1010011 => 1100110 => 4
1010100 => 1110000 => 7
1010101 => 1111000 => 7
1010110 => 1111000 => 7
1010111 => 1110110 => 5
1011000 => 1001100 => 4
1011001 => 1101100 => 5
1011010 => 1111000 => 7
1011011 => 1111100 => 7
1011100 => 1011010 => 4
1011101 => 1111100 => 7
1011110 => 1110110 => 5
1011111 => 1111110 => 7
1100000 => 1000010 => 3
1100001 => 1000110 => 3
1100010 => 1001100 => 4
1100011 => 1001110 => 3
1100100 => 1100100 => 5
1100101 => 1011010 => 4
1100110 => 1101100 => 5
1100111 => 1011110 => 3
1101000 => 1010010 => 4
1101001 => 1100110 => 4
1101010 => 1111000 => 7
1101011 => 1110110 => 5
1101100 => 1101100 => 5
1101101 => 1111100 => 7
1101110 => 1111100 => 7
1101111 => 1111110 => 7
1110000 => 1000110 => 3
1110001 => 1001110 => 3
1110010 => 1011010 => 4
1110011 => 1011110 => 3
1110100 => 1100110 => 4
1110101 => 1110110 => 5
1110110 => 1111100 => 7
1110111 => 1111110 => 7
1111000 => 1001110 => 3
1111001 => 1011110 => 3
1111010 => 1110110 => 5
1111011 => 1111110 => 7
1111100 => 1011110 => 3
1111101 => 1111110 => 7
1111110 => 1111110 => 7
1111111 => 1111111 => 7
00000000 => 00000000 => 8
00000001 => 10000000 => 8
00000010 => 10000000 => 8
00000011 => 10000010 => 3
00000100 => 10000000 => 8
00000101 => 10001000 => 5
00000110 => 10000010 => 3
00000111 => 10000110 => 3
00001000 => 10000000 => 8
00001001 => 10100000 => 7
00001010 => 10001000 => 5
00001011 => 10001100 => 4
00001100 => 10000010 => 3
00001101 => 10010010 => 4
00001110 => 10000110 => 3
00001111 => 10001110 => 3
00010000 => 10000000 => 8
00010001 => 11000000 => 8
00010010 => 10100000 => 7
00010011 => 10100100 => 5
00010100 => 10001000 => 5
00010101 => 10110000 => 6
00010110 => 10001100 => 4
00010111 => 10011010 => 3
00011000 => 10000010 => 3
00011001 => 11000010 => 4
00011010 => 10010010 => 4
00011011 => 10101100 => 4
00011100 => 10000110 => 3
00011101 => 10100110 => 4
00011110 => 10001110 => 3
00011111 => 10011110 => 3
00100000 => 10000000 => 8
00100001 => 10100000 => 7
00100010 => 11000000 => 8
00100011 => 11000010 => 4
00100100 => 10100000 => 7
00100101 => 11100000 => 8
00100110 => 10100100 => 5
00100111 => 11001010 => 4
00101000 => 10001000 => 5
00101001 => 11100000 => 8
00101010 => 10110000 => 6
00101011 => 10111000 => 5
00101100 => 10001100 => 4
00101101 => 11010100 => 6
00101110 => 10011010 => 3
00101111 => 10110110 => 4
00110000 => 10000010 => 3
00110001 => 10100100 => 5
00110010 => 11000010 => 4
00110011 => 11001100 => 5
00110100 => 10010010 => 4
00110101 => 11100010 => 5
00110110 => 10101100 => 4
00110111 => 10111100 => 4
00111000 => 10000110 => 3
00111001 => 11001010 => 4
00111010 => 10100110 => 4
00111011 => 11011010 => 5
00111100 => 10001110 => 3
00111101 => 11001110 => 4
00111110 => 10011110 => 3
00111111 => 10111110 => 3
01000000 => 10000000 => 8
01000001 => 10001000 => 5
01000010 => 10100000 => 7
01000011 => 10010010 => 4
01000100 => 11000000 => 8
01000101 => 10110000 => 6
01000110 => 11000010 => 4
01000111 => 10100110 => 4
01001000 => 10100000 => 7
01001001 => 11100000 => 8
01001010 => 11100000 => 8
01001011 => 11010100 => 6
01001100 => 10100100 => 5
01001101 => 11100010 => 5
01001110 => 11001010 => 4
01001111 => 11001110 => 4
01010000 => 10001000 => 5
01010001 => 10110000 => 6
01010010 => 11100000 => 8
01010011 => 11100010 => 5
01010100 => 10110000 => 6
01010101 => 11110000 => 8
01010110 => 10111000 => 5
01010111 => 11110010 => 6
01011000 => 10001100 => 4
01011001 => 10111000 => 5
01011010 => 11010100 => 6
01011011 => 11111000 => 8
01011100 => 10011010 => 3
01011101 => 11110010 => 6
01011110 => 10110110 => 4
01011111 => 11101110 => 5
01100000 => 10000010 => 3
01100001 => 10001100 => 4
01100010 => 10100100 => 5
01100011 => 10101100 => 4
01100100 => 11000010 => 4
01100101 => 10111000 => 5
01100110 => 11001100 => 5
01100111 => 11011010 => 5
01101000 => 10010010 => 4
01101001 => 11010100 => 6
01101010 => 11100010 => 5
01101011 => 11111000 => 8
01101100 => 10101100 => 4
01101101 => 11111000 => 8
01101110 => 10111100 => 4
01101111 => 11111010 => 7
01110000 => 10000110 => 3
01110001 => 10011010 => 3
01110010 => 11001010 => 4
01110011 => 10111100 => 4
01110100 => 10100110 => 4
01110101 => 11110010 => 6
01110110 => 11011010 => 5
01110111 => 11111100 => 8
01111000 => 10001110 => 3
01111001 => 10110110 => 4
01111010 => 11001110 => 4
01111011 => 11111010 => 7
01111100 => 10011110 => 3
01111101 => 11101110 => 5
01111110 => 10111110 => 3
01111111 => 11111110 => 8
10000000 => 10000000 => 8
10000001 => 10000010 => 3
10000010 => 10001000 => 5
10000011 => 10000110 => 3
10000100 => 10100000 => 7
10000101 => 10001100 => 4
10000110 => 10010010 => 4
10000111 => 10001110 => 3
10001000 => 11000000 => 8
10001001 => 10100100 => 5
10001010 => 10110000 => 6
10001011 => 10011010 => 3
10001100 => 11000010 => 4
10001101 => 10101100 => 4
10001110 => 10100110 => 4
10001111 => 10011110 => 3
10010000 => 10100000 => 7
10010001 => 11000010 => 4
10010010 => 11100000 => 8
10010011 => 11001010 => 4
10010100 => 11100000 => 8
10010101 => 10111000 => 5
10010110 => 11010100 => 6
10010111 => 10110110 => 4
10011000 => 10100100 => 5
10011001 => 11001100 => 5
10011010 => 11100010 => 5
10011011 => 10111100 => 4
10011100 => 11001010 => 4
10011101 => 11011010 => 5
10011110 => 11001110 => 4
10011111 => 10111110 => 3
10100000 => 10001000 => 5
10100001 => 10010010 => 4
10100010 => 10110000 => 6
10100011 => 10100110 => 4
10100100 => 11100000 => 8
10100101 => 11010100 => 6
10100110 => 11100010 => 5
10100111 => 11001110 => 4
10101000 => 10110000 => 6
10101001 => 11100010 => 5
10101010 => 11110000 => 8
10101011 => 11110010 => 6
10101100 => 10111000 => 5
10101101 => 11111000 => 8
10101110 => 11110010 => 6
10101111 => 11101110 => 5
10110000 => 10001100 => 4
10110001 => 10101100 => 4
10110010 => 10111000 => 5
10110011 => 11011010 => 5
10110100 => 11010100 => 6
10110101 => 11111000 => 8
10110110 => 11111000 => 8
10110111 => 11111010 => 7
10111000 => 10011010 => 3
10111001 => 10111100 => 4
10111010 => 11110010 => 6
10111011 => 11111100 => 8
10111100 => 10110110 => 4
10111101 => 11111010 => 7
10111110 => 11101110 => 5
10111111 => 11111110 => 8
11000000 => 10000010 => 3
11000001 => 10000110 => 3
11000010 => 10001100 => 4
11000011 => 10001110 => 3
11000100 => 10100100 => 5
11000101 => 10011010 => 3
11000110 => 10101100 => 4
11000111 => 10011110 => 3
11001000 => 11000010 => 4
11001001 => 11001010 => 4
11001010 => 10111000 => 5
11001011 => 10110110 => 4
11001100 => 11001100 => 5
11001101 => 10111100 => 4
11001110 => 11011010 => 5
11001111 => 10111110 => 3
11010000 => 10010010 => 4
11010001 => 10100110 => 4
11010010 => 11010100 => 6
11010011 => 11001110 => 4
11010100 => 11100010 => 5
11010101 => 11110010 => 6
11010110 => 11111000 => 8
11010111 => 11101110 => 5
11011000 => 10101100 => 4
11011001 => 11011010 => 5
11011010 => 11111000 => 8
11011011 => 11111010 => 7
11011100 => 10111100 => 4
11011101 => 11111100 => 8
11011110 => 11111010 => 7
11011111 => 11111110 => 8
11100000 => 10000110 => 3
11100001 => 10001110 => 3
11100010 => 10011010 => 3
11100011 => 10011110 => 3
11100100 => 11001010 => 4
11100101 => 10110110 => 4
11100110 => 10111100 => 4
11100111 => 10111110 => 3
11101000 => 10100110 => 4
11101001 => 11001110 => 4
11101010 => 11110010 => 6
11101011 => 11101110 => 5
11101100 => 11011010 => 5
11101101 => 11111010 => 7
11101110 => 11111100 => 8
11101111 => 11111110 => 8
11110000 => 10001110 => 3
11110001 => 10011110 => 3
11110010 => 10110110 => 4
11110011 => 10111110 => 3
11110100 => 11001110 => 4
11110101 => 11101110 => 5
11110110 => 11111010 => 7
11110111 => 11111110 => 8
11111000 => 10011110 => 3
11111001 => 10111110 => 3
11111010 => 11101110 => 5
11111011 => 11111110 => 8
11111100 => 10111110 => 3
11111101 => 11111110 => 8
11111110 => 11111110 => 8
11111111 => 11111111 => 8
000000000 => 000000000 => 9
000000001 => 100000000 => 9
000000010 => 100000000 => 9
000000011 => 100000010 => 3
000000100 => 100000000 => 9
000000101 => 100001000 => 5
000000110 => 100000010 => 3
000000111 => 100000110 => 3
000001000 => 100000000 => 9
000001001 => 100100000 => 7
000001010 => 100001000 => 5
000001011 => 100001100 => 4
000001100 => 100000010 => 3
000001101 => 100010010 => 3
000001110 => 100000110 => 3
000001111 => 100001110 => 3
000010000 => 100000000 => 9
000010001 => 110000000 => 9
000010010 => 100100000 => 7
000010011 => 100100100 => 5
000010100 => 100001000 => 5
000010101 => 100110000 => 6
000010110 => 100001100 => 4
000010111 => 100011010 => 3
000011000 => 100000010 => 3
000011001 => 101000010 => 4
000011010 => 100010010 => 3
000011011 => 100101100 => 4
000011100 => 100000110 => 3
000011101 => 100100110 => 3
000011110 => 100001110 => 3
000011111 => 100011110 => 3
000100000 => 100000000 => 9
000100001 => 110000000 => 9
000100010 => 110000000 => 9
000100011 => 110000100 => 5
000100100 => 100100000 => 7
000100101 => 101100000 => 7
000100110 => 100100100 => 5
000100111 => 101001010 => 4
000101000 => 100001000 => 5
000101001 => 110010000 => 7
000101010 => 100110000 => 6
000101011 => 100111000 => 5
000101100 => 100001100 => 4
000101101 => 101010100 => 6
000101110 => 100011010 => 3
000101111 => 100110110 => 3
000110000 => 100000010 => 3
000110001 => 110000100 => 5
000110010 => 101000010 => 4
000110011 => 110001100 => 5
000110100 => 100010010 => 3
000110101 => 101100010 => 4
000110110 => 100101100 => 4
000110111 => 100111100 => 4
000111000 => 100000110 => 3
000111001 => 110000110 => 4
000111010 => 100100110 => 3
000111011 => 101011010 => 4
000111100 => 100001110 => 3
000111101 => 101001110 => 4
000111110 => 100011110 => 3
000111111 => 100111110 => 3
001000000 => 100000000 => 9
001000001 => 100100000 => 7
001000010 => 110000000 => 9
001000011 => 101000010 => 4
001000100 => 110000000 => 9
001000101 => 110010000 => 7
001000110 => 110000100 => 5
001000111 => 110000110 => 4
001001000 => 100100000 => 7
001001001 => 111000000 => 9
001001010 => 101100000 => 7
001001011 => 110011000 => 6
001001100 => 100100100 => 5
001001101 => 111000010 => 5
001001110 => 101001010 => 4
001001111 => 110010110 => 4
001010000 => 100001000 => 5
001010001 => 101100000 => 7
001010010 => 110010000 => 7
001010011 => 111001000 => 7
001010100 => 100110000 => 6
001010101 => 111100000 => 9
001010110 => 100111000 => 5
001010111 => 101110010 => 4
001011000 => 100001100 => 4
001011001 => 110011000 => 6
001011010 => 101010100 => 6
001011011 => 101111000 => 5
001011100 => 100011010 => 3
001011101 => 110101010 => 6
001011110 => 100110110 => 3
001011111 => 101101110 => 3
001100000 => 100000010 => 3
001100001 => 100100100 => 5
001100010 => 110000100 => 5
001100011 => 110001100 => 5
001100100 => 101000010 => 4
001100101 => 111001000 => 7
001100110 => 110001100 => 5
001100111 => 110011100 => 5
001101000 => 100010010 => 3
001101001 => 111000010 => 5
001101010 => 101100010 => 4
001101011 => 111011000 => 7
001101100 => 100101100 => 4
001101101 => 111001100 => 6
001101110 => 100111100 => 4
001101111 => 101111010 => 4
001110000 => 100000110 => 3
001110001 => 101001010 => 4
001110010 => 110000110 => 4
001110011 => 110011100 => 5
001110100 => 100100110 => 3
001110101 => 111000110 => 5
001110110 => 101011010 => 4
001110111 => 110111100 => 5
001111000 => 100001110 => 3
001111001 => 110010110 => 4
001111010 => 101001110 => 4
001111011 => 110110110 => 5
001111100 => 100011110 => 3
001111101 => 110011110 => 4
001111110 => 100111110 => 3
001111111 => 101111110 => 3
010000000 => 100000000 => 9
010000001 => 100001000 => 5
010000010 => 100100000 => 7
010000011 => 100010010 => 3
010000100 => 110000000 => 9
010000101 => 100110000 => 6
010000110 => 101000010 => 4
010000111 => 100100110 => 3
010001000 => 110000000 => 9
010001001 => 101100000 => 7
010001010 => 110010000 => 7
010001011 => 101010100 => 6
010001100 => 110000100 => 5
010001101 => 101100010 => 4
010001110 => 110000110 => 4
010001111 => 101001110 => 4
010010000 => 100100000 => 7
010010001 => 110010000 => 7
010010010 => 111000000 => 9
010010011 => 111000010 => 5
010010100 => 101100000 => 7
010010101 => 111100000 => 9
010010110 => 110011000 => 6
010010111 => 110101010 => 6
010011000 => 100100100 => 5
010011001 => 111001000 => 7
010011010 => 111000010 => 5
010011011 => 111001100 => 6
010011100 => 101001010 => 4
010011101 => 111000110 => 5
010011110 => 110010110 => 4
010011111 => 110011110 => 4
010100000 => 100001000 => 5
010100001 => 100110000 => 6
010100010 => 101100000 => 7
010100011 => 101100010 => 4
010100100 => 110010000 => 7
010100101 => 111100000 => 9
010100110 => 111001000 => 7
010100111 => 111000110 => 5
010101000 => 100110000 => 6
010101001 => 111100000 => 9
010101010 => 111100000 => 9
010101011 => 111110000 => 9
010101100 => 100111000 => 5
010101101 => 111110000 => 9
010101110 => 101110010 => 4
010101111 => 111100110 => 6
010110000 => 100001100 => 4
010110001 => 100111000 => 5
010110010 => 110011000 => 6
010110011 => 111011000 => 7
010110100 => 101010100 => 6
010110101 => 111110000 => 9
010110110 => 101111000 => 5
010110111 => 111101100 => 7
010111000 => 100011010 => 3
010111001 => 101110010 => 4
010111010 => 110101010 => 6
010111011 => 111110010 => 7
010111100 => 100110110 => 3
010111101 => 111100110 => 6
010111110 => 101101110 => 3
010111111 => 111011110 => 5
011000000 => 100000010 => 3
011000001 => 100001100 => 4
011000010 => 100100100 => 5
011000011 => 100101100 => 4
011000100 => 110000100 => 5
011000101 => 100111000 => 5
011000110 => 110001100 => 5
011000111 => 101011010 => 4
011001000 => 101000010 => 4
011001001 => 110011000 => 6
011001010 => 111001000 => 7
011001011 => 101111000 => 5
011001100 => 110001100 => 5
011001101 => 111011000 => 7
011001110 => 110011100 => 5
011001111 => 110110110 => 5
011010000 => 100010010 => 3
011010001 => 101010100 => 6
011010010 => 111000010 => 5
011010011 => 111001100 => 6
011010100 => 101100010 => 4
011010101 => 111110000 => 9
011010110 => 111011000 => 7
011010111 => 111110010 => 7
011011000 => 100101100 => 4
011011001 => 101111000 => 5
011011010 => 111001100 => 6
011011011 => 111111000 => 9
011011100 => 100111100 => 4
011011101 => 111101100 => 7
011011110 => 101111010 => 4
011011111 => 111110110 => 7
011100000 => 100000110 => 3
011100001 => 100011010 => 3
011100010 => 101001010 => 4
011100011 => 100111100 => 4
011100100 => 110000110 => 4
011100101 => 101110010 => 4
011100110 => 110011100 => 5
011100111 => 110111100 => 5
011101000 => 100100110 => 3
011101001 => 110101010 => 6
011101010 => 111000110 => 5
011101011 => 111101100 => 7
011101100 => 101011010 => 4
011101101 => 111110010 => 7
011101110 => 110111100 => 5
011101111 => 111111100 => 9
011110000 => 100001110 => 3
011110001 => 100110110 => 3
011110010 => 110010110 => 4
011110011 => 101111010 => 4
011110100 => 101001110 => 4
011110101 => 111100110 => 6
011110110 => 110110110 => 5
011110111 => 111111100 => 9
011111000 => 100011110 => 3
011111001 => 101101110 => 3
011111010 => 110011110 => 4
011111011 => 111110110 => 7
011111100 => 100111110 => 3
011111101 => 111011110 => 5
011111110 => 101111110 => 3
011111111 => 111111110 => 9
100000000 => 100000000 => 9
100000001 => 100000010 => 3
100000010 => 100001000 => 5
100000011 => 100000110 => 3
100000100 => 100100000 => 7
100000101 => 100001100 => 4
100000110 => 100010010 => 3
100000111 => 100001110 => 3
100001000 => 110000000 => 9
100001001 => 100100100 => 5
100001010 => 100110000 => 6
100001011 => 100011010 => 3
100001100 => 101000010 => 4
100001101 => 100101100 => 4
100001110 => 100100110 => 3
100001111 => 100011110 => 3
100010000 => 110000000 => 9
100010001 => 110000100 => 5
100010010 => 101100000 => 7
100010011 => 101001010 => 4
100010100 => 110010000 => 7
100010101 => 100111000 => 5
100010110 => 101010100 => 6
100010111 => 100110110 => 3
100011000 => 110000100 => 5
100011001 => 110001100 => 5
100011010 => 101100010 => 4
100011011 => 100111100 => 4
100011100 => 110000110 => 4
100011101 => 101011010 => 4
100011110 => 101001110 => 4
100011111 => 100111110 => 3
100100000 => 100100000 => 7
100100001 => 101000010 => 4
100100010 => 110010000 => 7
100100011 => 110000110 => 4
100100100 => 111000000 => 9
100100101 => 110011000 => 6
100100110 => 111000010 => 5
100100111 => 110010110 => 4
100101000 => 101100000 => 7
100101001 => 111001000 => 7
100101010 => 111100000 => 9
100101011 => 101110010 => 4
100101100 => 110011000 => 6
100101101 => 101111000 => 5
100101110 => 110101010 => 6
100101111 => 101101110 => 3
100110000 => 100100100 => 5
100110001 => 110001100 => 5
100110010 => 111001000 => 7
100110011 => 110011100 => 5
100110100 => 111000010 => 5
100110101 => 111011000 => 7
100110110 => 111001100 => 6
100110111 => 101111010 => 4
100111000 => 101001010 => 4
100111001 => 110011100 => 5
100111010 => 111000110 => 5
100111011 => 110111100 => 5
100111100 => 110010110 => 4
100111101 => 110110110 => 5
100111110 => 110011110 => 4
100111111 => 101111110 => 3
101000000 => 100001000 => 5
101000001 => 100010010 => 3
101000010 => 100110000 => 6
101000011 => 100100110 => 3
101000100 => 101100000 => 7
101000101 => 101010100 => 6
101000110 => 101100010 => 4
101000111 => 101001110 => 4
101001000 => 110010000 => 7
101001001 => 111000010 => 5
101001010 => 111100000 => 9
101001011 => 110101010 => 6
101001100 => 111001000 => 7
101001101 => 111001100 => 6
101001110 => 111000110 => 5
101001111 => 110011110 => 4
101010000 => 100110000 => 6
101010001 => 101100010 => 4
101010010 => 111100000 => 9
101010011 => 111000110 => 5
101010100 => 111100000 => 9
101010101 => 111110000 => 9
101010110 => 111110000 => 9
101010111 => 111100110 => 6
101011000 => 100111000 => 5
101011001 => 111011000 => 7
101011010 => 111110000 => 9
101011011 => 111101100 => 7
101011100 => 101110010 => 4
101011101 => 111110010 => 7
101011110 => 111100110 => 6
101011111 => 111011110 => 5
101100000 => 100001100 => 4
101100001 => 100101100 => 4
101100010 => 100111000 => 5
101100011 => 101011010 => 4
101100100 => 110011000 => 6
101100101 => 101111000 => 5
101100110 => 111011000 => 7
101100111 => 110110110 => 5
101101000 => 101010100 => 6
101101001 => 111001100 => 6
101101010 => 111110000 => 9
101101011 => 111110010 => 7
101101100 => 101111000 => 5
101101101 => 111111000 => 9
101101110 => 111101100 => 7
101101111 => 111110110 => 7
101110000 => 100011010 => 3
101110001 => 100111100 => 4
101110010 => 101110010 => 4
101110011 => 110111100 => 5
101110100 => 110101010 => 6
101110101 => 111101100 => 7
101110110 => 111110010 => 7
101110111 => 111111100 => 9
101111000 => 100110110 => 3
101111001 => 101111010 => 4
101111010 => 111100110 => 6
101111011 => 111111100 => 9
101111100 => 101101110 => 3
101111101 => 111110110 => 7
101111110 => 111011110 => 5
101111111 => 111111110 => 9
110000000 => 100000010 => 3
110000001 => 100000110 => 3
110000010 => 100001100 => 4
110000011 => 100001110 => 3
110000100 => 100100100 => 5
110000101 => 100011010 => 3
110000110 => 100101100 => 4
110000111 => 100011110 => 3
110001000 => 110000100 => 5
110001001 => 101001010 => 4
110001010 => 100111000 => 5
110001011 => 100110110 => 3
110001100 => 110001100 => 5
110001101 => 100111100 => 4
110001110 => 101011010 => 4
110001111 => 100111110 => 3
110010000 => 101000010 => 4
110010001 => 110000110 => 4
110010010 => 110011000 => 6
110010011 => 110010110 => 4
110010100 => 111001000 => 7
110010101 => 101110010 => 4
110010110 => 101111000 => 5
110010111 => 101101110 => 3
110011000 => 110001100 => 5
110011001 => 110011100 => 5
110011010 => 111011000 => 7
110011011 => 101111010 => 4
110011100 => 110011100 => 5
110011101 => 110111100 => 5
110011110 => 110110110 => 5
110011111 => 101111110 => 3
110100000 => 100010010 => 3
110100001 => 100100110 => 3
110100010 => 101010100 => 6
110100011 => 101001110 => 4
110100100 => 111000010 => 5
110100101 => 110101010 => 6
110100110 => 111001100 => 6
110100111 => 110011110 => 4
110101000 => 101100010 => 4
110101001 => 111000110 => 5
110101010 => 111110000 => 9
110101011 => 111100110 => 6
110101100 => 111011000 => 7
110101101 => 111101100 => 7
110101110 => 111110010 => 7
110101111 => 111011110 => 5
110110000 => 100101100 => 4
110110001 => 101011010 => 4
110110010 => 101111000 => 5
110110011 => 110110110 => 5
110110100 => 111001100 => 6
110110101 => 111110010 => 7
110110110 => 111111000 => 9
110110111 => 111110110 => 7
110111000 => 100111100 => 4
110111001 => 110111100 => 5
110111010 => 111101100 => 7
110111011 => 111111100 => 9
110111100 => 101111010 => 4
110111101 => 111111100 => 9
110111110 => 111110110 => 7
110111111 => 111111110 => 9
111000000 => 100000110 => 3
111000001 => 100001110 => 3
111000010 => 100011010 => 3
111000011 => 100011110 => 3
111000100 => 101001010 => 4
111000101 => 100110110 => 3
111000110 => 100111100 => 4
111000111 => 100111110 => 3
111001000 => 110000110 => 4
111001001 => 110010110 => 4
111001010 => 101110010 => 4
111001011 => 101101110 => 3
111001100 => 110011100 => 5
111001101 => 101111010 => 4
111001110 => 110111100 => 5
111001111 => 101111110 => 3
111010000 => 100100110 => 3
111010001 => 101001110 => 4
111010010 => 110101010 => 6
111010011 => 110011110 => 4
111010100 => 111000110 => 5
111010101 => 111100110 => 6
111010110 => 111101100 => 7
111010111 => 111011110 => 5
111011000 => 101011010 => 4
111011001 => 110110110 => 5
111011010 => 111110010 => 7
111011011 => 111110110 => 7
111011100 => 110111100 => 5
111011101 => 111111100 => 9
111011110 => 111111100 => 9
111011111 => 111111110 => 9
111100000 => 100001110 => 3
111100001 => 100011110 => 3
111100010 => 100110110 => 3
111100011 => 100111110 => 3
111100100 => 110010110 => 4
111100101 => 101101110 => 3
111100110 => 101111010 => 4
111100111 => 101111110 => 3
111101000 => 101001110 => 4
111101001 => 110011110 => 4
111101010 => 111100110 => 6
111101011 => 111011110 => 5
111101100 => 110110110 => 5
111101101 => 111110110 => 7
111101110 => 111111100 => 9
111101111 => 111111110 => 9
111110000 => 100011110 => 3
111110001 => 100111110 => 3
111110010 => 101101110 => 3
111110011 => 101111110 => 3
111110100 => 110011110 => 4
111110101 => 111011110 => 5
111110110 => 111110110 => 7
111110111 => 111111110 => 9
111111000 => 100111110 => 3
111111001 => 101111110 => 3
111111010 => 111011110 => 5
111111011 => 111111110 => 9
111111100 => 101111110 => 3
111111101 => 111111110 => 9
111111110 => 111111110 => 9
111111111 => 111111111 => 9