=>

[1,0]=>10=>1 [1,0,1,0]=>1010=>1 [1,1,0,0]=>1100=>2 [1,0,1,0,1,0]=>101010=>1 [1,0,1,1,0,0]=>101100=>2 [1,1,0,0,1,0]=>110010=>2 [1,1,0,1,0,0]=>110100=>2 [1,1,1,0,0,0]=>111000=>3 [1,0,1,0,1,0,1,0]=>10101010=>1 [1,0,1,0,1,1,0,0]=>10101100=>2 [1,0,1,1,0,0,1,0]=>10110010=>2 [1,0,1,1,0,1,0,0]=>10110100=>2 [1,0,1,1,1,0,0,0]=>10111000=>3 [1,1,0,0,1,0,1,0]=>11001010=>2 [1,1,0,0,1,1,0,0]=>11001100=>2 [1,1,0,1,0,0,1,0]=>11010010=>2 [1,1,0,1,0,1,0,0]=>11010100=>2 [1,1,0,1,1,0,0,0]=>11011000=>2 [1,1,1,0,0,0,1,0]=>11100010=>3 [1,1,1,0,0,1,0,0]=>11100100=>3 [1,1,1,0,1,0,0,0]=>11101000=>3 [1,1,1,1,0,0,0,0]=>11110000=>4 [1,0,1,0,1,0,1,0,1,0]=>1010101010=>1 [1,0,1,0,1,0,1,1,0,0]=>1010101100=>2 [1,0,1,0,1,1,0,0,1,0]=>1010110010=>2 [1,0,1,0,1,1,0,1,0,0]=>1010110100=>2 [1,0,1,0,1,1,1,0,0,0]=>1010111000=>3 [1,0,1,1,0,0,1,0,1,0]=>1011001010=>2 [1,0,1,1,0,0,1,1,0,0]=>1011001100=>2 [1,0,1,1,0,1,0,0,1,0]=>1011010010=>2 [1,0,1,1,0,1,0,1,0,0]=>1011010100=>2 [1,0,1,1,0,1,1,0,0,0]=>1011011000=>2 [1,0,1,1,1,0,0,0,1,0]=>1011100010=>3 [1,0,1,1,1,0,0,1,0,0]=>1011100100=>3 [1,0,1,1,1,0,1,0,0,0]=>1011101000=>3 [1,0,1,1,1,1,0,0,0,0]=>1011110000=>4 [1,1,0,0,1,0,1,0,1,0]=>1100101010=>2 [1,1,0,0,1,0,1,1,0,0]=>1100101100=>2 [1,1,0,0,1,1,0,0,1,0]=>1100110010=>2 [1,1,0,0,1,1,0,1,0,0]=>1100110100=>2 [1,1,0,0,1,1,1,0,0,0]=>1100111000=>3 [1,1,0,1,0,0,1,0,1,0]=>1101001010=>2 [1,1,0,1,0,0,1,1,0,0]=>1101001100=>2 [1,1,0,1,0,1,0,0,1,0]=>1101010010=>2 [1,1,0,1,0,1,0,1,0,0]=>1101010100=>2 [1,1,0,1,0,1,1,0,0,0]=>1101011000=>2 [1,1,0,1,1,0,0,0,1,0]=>1101100010=>2 [1,1,0,1,1,0,0,1,0,0]=>1101100100=>2 [1,1,0,1,1,0,1,0,0,0]=>1101101000=>2 [1,1,0,1,1,1,0,0,0,0]=>1101110000=>3 [1,1,1,0,0,0,1,0,1,0]=>1110001010=>3 [1,1,1,0,0,0,1,1,0,0]=>1110001100=>3 [1,1,1,0,0,1,0,0,1,0]=>1110010010=>3 [1,1,1,0,0,1,0,1,0,0]=>1110010100=>3 [1,1,1,0,0,1,1,0,0,0]=>1110011000=>3 [1,1,1,0,1,0,0,0,1,0]=>1110100010=>3 [1,1,1,0,1,0,0,1,0,0]=>1110100100=>3 [1,1,1,0,1,0,1,0,0,0]=>1110101000=>3 [1,1,1,0,1,1,0,0,0,0]=>1110110000=>3 [1,1,1,1,0,0,0,0,1,0]=>1111000010=>4 [1,1,1,1,0,0,0,1,0,0]=>1111000100=>4 [1,1,1,1,0,0,1,0,0,0]=>1111001000=>4 [1,1,1,1,0,1,0,0,0,0]=>1111010000=>4 [1,1,1,1,1,0,0,0,0,0]=>1111100000=>5 [1,0,1,0,1,0,1,0,1,0,1,0]=>101010101010=>1 [1,0,1,0,1,0,1,0,1,1,0,0]=>101010101100=>2 [1,0,1,0,1,0,1,1,0,0,1,0]=>101010110010=>2 [1,0,1,0,1,0,1,1,0,1,0,0]=>101010110100=>2 [1,0,1,0,1,0,1,1,1,0,0,0]=>101010111000=>3 [1,0,1,0,1,1,0,0,1,0,1,0]=>101011001010=>2 [1,0,1,0,1,1,0,0,1,1,0,0]=>101011001100=>2 [1,0,1,0,1,1,0,1,0,0,1,0]=>101011010010=>2 [1,0,1,0,1,1,0,1,0,1,0,0]=>101011010100=>2 [1,0,1,0,1,1,0,1,1,0,0,0]=>101011011000=>2 [1,0,1,0,1,1,1,0,0,0,1,0]=>101011100010=>3 [1,0,1,0,1,1,1,0,0,1,0,0]=>101011100100=>3 [1,0,1,0,1,1,1,0,1,0,0,0]=>101011101000=>3 [1,0,1,0,1,1,1,1,0,0,0,0]=>101011110000=>4 [1,0,1,1,0,0,1,0,1,0,1,0]=>101100101010=>2 [1,0,1,1,0,0,1,0,1,1,0,0]=>101100101100=>2 [1,0,1,1,0,0,1,1,0,0,1,0]=>101100110010=>2 [1,0,1,1,0,0,1,1,0,1,0,0]=>101100110100=>2 [1,0,1,1,0,0,1,1,1,0,0,0]=>101100111000=>3 [1,0,1,1,0,1,0,0,1,0,1,0]=>101101001010=>2 [1,0,1,1,0,1,0,0,1,1,0,0]=>101101001100=>2 [1,0,1,1,0,1,0,1,0,0,1,0]=>101101010010=>2 [1,0,1,1,0,1,0,1,0,1,0,0]=>101101010100=>2 [1,0,1,1,0,1,0,1,1,0,0,0]=>101101011000=>2 [1,0,1,1,0,1,1,0,0,0,1,0]=>101101100010=>2 [1,0,1,1,0,1,1,0,0,1,0,0]=>101101100100=>2 [1,0,1,1,0,1,1,0,1,0,0,0]=>101101101000=>2 [1,0,1,1,0,1,1,1,0,0,0,0]=>101101110000=>3 [1,0,1,1,1,0,0,0,1,0,1,0]=>101110001010=>3 [1,0,1,1,1,0,0,0,1,1,0,0]=>101110001100=>3 [1,0,1,1,1,0,0,1,0,0,1,0]=>101110010010=>3 [1,0,1,1,1,0,0,1,0,1,0,0]=>101110010100=>3 [1,0,1,1,1,0,0,1,1,0,0,0]=>101110011000=>3 [1,0,1,1,1,0,1,0,0,0,1,0]=>101110100010=>3 [1,0,1,1,1,0,1,0,0,1,0,0]=>101110100100=>3 [1,0,1,1,1,0,1,0,1,0,0,0]=>101110101000=>3 [1,0,1,1,1,0,1,1,0,0,0,0]=>101110110000=>3 [1,0,1,1,1,1,0,0,0,0,1,0]=>101111000010=>4 [1,0,1,1,1,1,0,0,0,1,0,0]=>101111000100=>4 [1,0,1,1,1,1,0,0,1,0,0,0]=>101111001000=>4 [1,0,1,1,1,1,0,1,0,0,0,0]=>101111010000=>4 [1,0,1,1,1,1,1,0,0,0,0,0]=>101111100000=>5 [1,1,0,0,1,0,1,0,1,0,1,0]=>110010101010=>2 [1,1,0,0,1,0,1,0,1,1,0,0]=>110010101100=>2 [1,1,0,0,1,0,1,1,0,0,1,0]=>110010110010=>2 [1,1,0,0,1,0,1,1,0,1,0,0]=>110010110100=>2 [1,1,0,0,1,0,1,1,1,0,0,0]=>110010111000=>3 [1,1,0,0,1,1,0,0,1,0,1,0]=>110011001010=>2 [1,1,0,0,1,1,0,0,1,1,0,0]=>110011001100=>2 [1,1,0,0,1,1,0,1,0,0,1,0]=>110011010010=>2 [1,1,0,0,1,1,0,1,0,1,0,0]=>110011010100=>2 [1,1,0,0,1,1,0,1,1,0,0,0]=>110011011000=>2 [1,1,0,0,1,1,1,0,0,0,1,0]=>110011100010=>3 [1,1,0,0,1,1,1,0,0,1,0,0]=>110011100100=>3 [1,1,0,0,1,1,1,0,1,0,0,0]=>110011101000=>3 [1,1,0,0,1,1,1,1,0,0,0,0]=>110011110000=>4 [1,1,0,1,0,0,1,0,1,0,1,0]=>110100101010=>2 [1,1,0,1,0,0,1,0,1,1,0,0]=>110100101100=>2 [1,1,0,1,0,0,1,1,0,0,1,0]=>110100110010=>2 [1,1,0,1,0,0,1,1,0,1,0,0]=>110100110100=>2 [1,1,0,1,0,0,1,1,1,0,0,0]=>110100111000=>3 [1,1,0,1,0,1,0,0,1,0,1,0]=>110101001010=>2 [1,1,0,1,0,1,0,0,1,1,0,0]=>110101001100=>2 [1,1,0,1,0,1,0,1,0,0,1,0]=>110101010010=>2 [1,1,0,1,0,1,0,1,0,1,0,0]=>110101010100=>2 [1,1,0,1,0,1,0,1,1,0,0,0]=>110101011000=>2 [1,1,0,1,0,1,1,0,0,0,1,0]=>110101100010=>2 [1,1,0,1,0,1,1,0,0,1,0,0]=>110101100100=>2 [1,1,0,1,0,1,1,0,1,0,0,0]=>110101101000=>2 [1,1,0,1,0,1,1,1,0,0,0,0]=>110101110000=>3 [1,1,0,1,1,0,0,0,1,0,1,0]=>110110001010=>2 [1,1,0,1,1,0,0,0,1,1,0,0]=>110110001100=>2 [1,1,0,1,1,0,0,1,0,0,1,0]=>110110010010=>2 [1,1,0,1,1,0,0,1,0,1,0,0]=>110110010100=>2 [1,1,0,1,1,0,0,1,1,0,0,0]=>110110011000=>2 [1,1,0,1,1,0,1,0,0,0,1,0]=>110110100010=>2 [1,1,0,1,1,0,1,0,0,1,0,0]=>110110100100=>2 [1,1,0,1,1,0,1,0,1,0,0,0]=>110110101000=>2 [1,1,0,1,1,0,1,1,0,0,0,0]=>110110110000=>2 [1,1,0,1,1,1,0,0,0,0,1,0]=>110111000010=>3 [1,1,0,1,1,1,0,0,0,1,0,0]=>110111000100=>3 [1,1,0,1,1,1,0,0,1,0,0,0]=>110111001000=>3 [1,1,0,1,1,1,0,1,0,0,0,0]=>110111010000=>3 [1,1,0,1,1,1,1,0,0,0,0,0]=>110111100000=>4 [1,1,1,0,0,0,1,0,1,0,1,0]=>111000101010=>3 [1,1,1,0,0,0,1,0,1,1,0,0]=>111000101100=>3 [1,1,1,0,0,0,1,1,0,0,1,0]=>111000110010=>3 [1,1,1,0,0,0,1,1,0,1,0,0]=>111000110100=>3 [1,1,1,0,0,0,1,1,1,0,0,0]=>111000111000=>3 [1,1,1,0,0,1,0,0,1,0,1,0]=>111001001010=>3 [1,1,1,0,0,1,0,0,1,1,0,0]=>111001001100=>3 [1,1,1,0,0,1,0,1,0,0,1,0]=>111001010010=>3 [1,1,1,0,0,1,0,1,0,1,0,0]=>111001010100=>3 [1,1,1,0,0,1,0,1,1,0,0,0]=>111001011000=>3 [1,1,1,0,0,1,1,0,0,0,1,0]=>111001100010=>3 [1,1,1,0,0,1,1,0,0,1,0,0]=>111001100100=>3 [1,1,1,0,0,1,1,0,1,0,0,0]=>111001101000=>3 [1,1,1,0,0,1,1,1,0,0,0,0]=>111001110000=>3 [1,1,1,0,1,0,0,0,1,0,1,0]=>111010001010=>3 [1,1,1,0,1,0,0,0,1,1,0,0]=>111010001100=>3 [1,1,1,0,1,0,0,1,0,0,1,0]=>111010010010=>3 [1,1,1,0,1,0,0,1,0,1,0,0]=>111010010100=>3 [1,1,1,0,1,0,0,1,1,0,0,0]=>111010011000=>3 [1,1,1,0,1,0,1,0,0,0,1,0]=>111010100010=>3 [1,1,1,0,1,0,1,0,0,1,0,0]=>111010100100=>3 [1,1,1,0,1,0,1,0,1,0,0,0]=>111010101000=>3 [1,1,1,0,1,0,1,1,0,0,0,0]=>111010110000=>3 [1,1,1,0,1,1,0,0,0,0,1,0]=>111011000010=>3 [1,1,1,0,1,1,0,0,0,1,0,0]=>111011000100=>3 [1,1,1,0,1,1,0,0,1,0,0,0]=>111011001000=>3 [1,1,1,0,1,1,0,1,0,0,0,0]=>111011010000=>3 [1,1,1,0,1,1,1,0,0,0,0,0]=>111011100000=>3 [1,1,1,1,0,0,0,0,1,0,1,0]=>111100001010=>4 [1,1,1,1,0,0,0,0,1,1,0,0]=>111100001100=>4 [1,1,1,1,0,0,0,1,0,0,1,0]=>111100010010=>4 [1,1,1,1,0,0,0,1,0,1,0,0]=>111100010100=>4 [1,1,1,1,0,0,0,1,1,0,0,0]=>111100011000=>4 [1,1,1,1,0,0,1,0,0,0,1,0]=>111100100010=>4 [1,1,1,1,0,0,1,0,0,1,0,0]=>111100100100=>4 [1,1,1,1,0,0,1,0,1,0,0,0]=>111100101000=>4 [1,1,1,1,0,0,1,1,0,0,0,0]=>111100110000=>4 [1,1,1,1,0,1,0,0,0,0,1,0]=>111101000010=>4 [1,1,1,1,0,1,0,0,0,1,0,0]=>111101000100=>4 [1,1,1,1,0,1,0,0,1,0,0,0]=>111101001000=>4 [1,1,1,1,0,1,0,1,0,0,0,0]=>111101010000=>4 [1,1,1,1,0,1,1,0,0,0,0,0]=>111101100000=>4 [1,1,1,1,1,0,0,0,0,0,1,0]=>111110000010=>5 [1,1,1,1,1,0,0,0,0,1,0,0]=>111110000100=>5 [1,1,1,1,1,0,0,0,1,0,0,0]=>111110001000=>5 [1,1,1,1,1,0,0,1,0,0,0,0]=>111110010000=>5 [1,1,1,1,1,0,1,0,0,0,0,0]=>111110100000=>5 [1,1,1,1,1,1,0,0,0,0,0,0]=>111111000000=>6 [1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>10110111100000=>4 [1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>10111011010000=>3 [1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>10111011100000=>3 [1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>10111100110000=>4 [1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>10111101001000=>4 [1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>10111101010000=>4 [1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>10111101100000=>4 [1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>10111110000100=>5 [1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>10111110001000=>5 [1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>10111110010000=>5 [1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>10111110100000=>5 [1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>10111111000000=>6 [1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>11001111100000=>5 [1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>11011110000010=>4 [1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>11101101000010=>3 [1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>11101110000010=>3 [1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>11110011000010=>4 [1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>11110100100010=>4 [1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>11110101000010=>4 [1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>11110110000010=>4 [1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>11111000001100=>5 [1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>11111000010010=>5 [1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>11111000100010=>5 [1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>11111001000010=>5 [1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>11111010000010=>5 [1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>11111100000010=>6 [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>1011110111000000=>4 [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>1011111010100000=>5 [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>1011111011000000=>5 [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>1011111100010000=>6 [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>1011111100100000=>6 [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>1011111101000000=>6 [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1011111110000000=>7 [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>1111011100000010=>4 [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>1111101010000010=>5 [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>1111101100000010=>5 [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>1111110001000010=>6 [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>1111110010000010=>6 [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>1111110100000010=>6 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1111111000000010=>7 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>111111110000000010=>8 [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>101111111100000000=>8 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>11111111100000000010=>9 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0]=>111111101000000010=>7 [1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>101111111010000000=>7 [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>10111111111000000000=>9 [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0]=>1111111111000000000010=>10 [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0]=>11111111010000000010=>8 [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0]=>111111100100000010=>7 [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0]=>111111011000000010=>6 [1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>101111111001000000=>7 [1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>101111110110000000=>6 [1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>10111111110100000000=>8 [1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1011111111110000000000=>10