Identifier
Mp00093: Dyck paths —to binary word⟶ Binary words
Mp00104: Binary words —reverse⟶ Binary words
Images
[1,0] => 10 => 01
[1,0,1,0] => 1010 => 0101
[1,1,0,0] => 1100 => 0011
[1,0,1,0,1,0] => 101010 => 010101
[1,0,1,1,0,0] => 101100 => 001101
[1,1,0,0,1,0] => 110010 => 010011
[1,1,0,1,0,0] => 110100 => 001011
[1,1,1,0,0,0] => 111000 => 000111
[1,0,1,0,1,0,1,0] => 10101010 => 01010101
[1,0,1,0,1,1,0,0] => 10101100 => 00110101
[1,0,1,1,0,0,1,0] => 10110010 => 01001101
[1,0,1,1,0,1,0,0] => 10110100 => 00101101
[1,0,1,1,1,0,0,0] => 10111000 => 00011101
[1,1,0,0,1,0,1,0] => 11001010 => 01010011
[1,1,0,0,1,1,0,0] => 11001100 => 00110011
[1,1,0,1,0,0,1,0] => 11010010 => 01001011
[1,1,0,1,0,1,0,0] => 11010100 => 00101011
[1,1,0,1,1,0,0,0] => 11011000 => 00011011
[1,1,1,0,0,0,1,0] => 11100010 => 01000111
[1,1,1,0,0,1,0,0] => 11100100 => 00100111
[1,1,1,0,1,0,0,0] => 11101000 => 00010111
[1,1,1,1,0,0,0,0] => 11110000 => 00001111
[1,0,1,0,1,0,1,0,1,0] => 1010101010 => 0101010101
[1,0,1,0,1,0,1,1,0,0] => 1010101100 => 0011010101
[1,0,1,0,1,1,0,0,1,0] => 1010110010 => 0100110101
[1,0,1,0,1,1,0,1,0,0] => 1010110100 => 0010110101
[1,0,1,0,1,1,1,0,0,0] => 1010111000 => 0001110101
[1,0,1,1,0,0,1,0,1,0] => 1011001010 => 0101001101
[1,0,1,1,0,0,1,1,0,0] => 1011001100 => 0011001101
[1,0,1,1,0,1,0,0,1,0] => 1011010010 => 0100101101
[1,0,1,1,0,1,0,1,0,0] => 1011010100 => 0010101101
[1,0,1,1,0,1,1,0,0,0] => 1011011000 => 0001101101
[1,0,1,1,1,0,0,0,1,0] => 1011100010 => 0100011101
[1,0,1,1,1,0,0,1,0,0] => 1011100100 => 0010011101
[1,0,1,1,1,0,1,0,0,0] => 1011101000 => 0001011101
[1,0,1,1,1,1,0,0,0,0] => 1011110000 => 0000111101
[1,1,0,0,1,0,1,0,1,0] => 1100101010 => 0101010011
[1,1,0,0,1,0,1,1,0,0] => 1100101100 => 0011010011
[1,1,0,0,1,1,0,0,1,0] => 1100110010 => 0100110011
[1,1,0,0,1,1,0,1,0,0] => 1100110100 => 0010110011
[1,1,0,0,1,1,1,0,0,0] => 1100111000 => 0001110011
[1,1,0,1,0,0,1,0,1,0] => 1101001010 => 0101001011
[1,1,0,1,0,0,1,1,0,0] => 1101001100 => 0011001011
[1,1,0,1,0,1,0,0,1,0] => 1101010010 => 0100101011
[1,1,0,1,0,1,0,1,0,0] => 1101010100 => 0010101011
[1,1,0,1,0,1,1,0,0,0] => 1101011000 => 0001101011
[1,1,0,1,1,0,0,0,1,0] => 1101100010 => 0100011011
[1,1,0,1,1,0,0,1,0,0] => 1101100100 => 0010011011
[1,1,0,1,1,0,1,0,0,0] => 1101101000 => 0001011011
[1,1,0,1,1,1,0,0,0,0] => 1101110000 => 0000111011
[1,1,1,0,0,0,1,0,1,0] => 1110001010 => 0101000111
[1,1,1,0,0,0,1,1,0,0] => 1110001100 => 0011000111
[1,1,1,0,0,1,0,0,1,0] => 1110010010 => 0100100111
[1,1,1,0,0,1,0,1,0,0] => 1110010100 => 0010100111
[1,1,1,0,0,1,1,0,0,0] => 1110011000 => 0001100111
[1,1,1,0,1,0,0,0,1,0] => 1110100010 => 0100010111
[1,1,1,0,1,0,0,1,0,0] => 1110100100 => 0010010111
[1,1,1,0,1,0,1,0,0,0] => 1110101000 => 0001010111
[1,1,1,0,1,1,0,0,0,0] => 1110110000 => 0000110111
[1,1,1,1,0,0,0,0,1,0] => 1111000010 => 0100001111
[1,1,1,1,0,0,0,1,0,0] => 1111000100 => 0010001111
[1,1,1,1,0,0,1,0,0,0] => 1111001000 => 0001001111
[1,1,1,1,0,1,0,0,0,0] => 1111010000 => 0000101111
[1,1,1,1,1,0,0,0,0,0] => 1111100000 => 0000011111
[1,0,1,0,1,0,1,0,1,0,1,0] => 101010101010 => 010101010101
[1,0,1,0,1,0,1,0,1,1,0,0] => 101010101100 => 001101010101
[1,0,1,0,1,0,1,1,0,0,1,0] => 101010110010 => 010011010101
[1,0,1,0,1,0,1,1,0,1,0,0] => 101010110100 => 001011010101
[1,0,1,0,1,0,1,1,1,0,0,0] => 101010111000 => 000111010101
[1,0,1,0,1,1,0,0,1,0,1,0] => 101011001010 => 010100110101
[1,0,1,0,1,1,0,0,1,1,0,0] => 101011001100 => 001100110101
[1,0,1,0,1,1,0,1,0,0,1,0] => 101011010010 => 010010110101
[1,0,1,0,1,1,0,1,0,1,0,0] => 101011010100 => 001010110101
[1,0,1,0,1,1,0,1,1,0,0,0] => 101011011000 => 000110110101
[1,0,1,0,1,1,1,0,0,0,1,0] => 101011100010 => 010001110101
[1,0,1,0,1,1,1,0,0,1,0,0] => 101011100100 => 001001110101
[1,0,1,0,1,1,1,0,1,0,0,0] => 101011101000 => 000101110101
[1,0,1,0,1,1,1,1,0,0,0,0] => 101011110000 => 000011110101
[1,0,1,1,0,0,1,0,1,0,1,0] => 101100101010 => 010101001101
[1,0,1,1,0,0,1,0,1,1,0,0] => 101100101100 => 001101001101
[1,0,1,1,0,0,1,1,0,0,1,0] => 101100110010 => 010011001101
[1,0,1,1,0,0,1,1,0,1,0,0] => 101100110100 => 001011001101
[1,0,1,1,0,0,1,1,1,0,0,0] => 101100111000 => 000111001101
[1,0,1,1,0,1,0,0,1,0,1,0] => 101101001010 => 010100101101
[1,0,1,1,0,1,0,0,1,1,0,0] => 101101001100 => 001100101101
[1,0,1,1,0,1,0,1,0,0,1,0] => 101101010010 => 010010101101
[1,0,1,1,0,1,0,1,0,1,0,0] => 101101010100 => 001010101101
[1,0,1,1,0,1,0,1,1,0,0,0] => 101101011000 => 000110101101
[1,0,1,1,0,1,1,0,0,0,1,0] => 101101100010 => 010001101101
[1,0,1,1,0,1,1,0,0,1,0,0] => 101101100100 => 001001101101
[1,0,1,1,0,1,1,0,1,0,0,0] => 101101101000 => 000101101101
[1,0,1,1,0,1,1,1,0,0,0,0] => 101101110000 => 000011101101
[1,0,1,1,1,0,0,0,1,0,1,0] => 101110001010 => 010100011101
[1,0,1,1,1,0,0,0,1,1,0,0] => 101110001100 => 001100011101
[1,0,1,1,1,0,0,1,0,0,1,0] => 101110010010 => 010010011101
[1,0,1,1,1,0,0,1,0,1,0,0] => 101110010100 => 001010011101
[1,0,1,1,1,0,0,1,1,0,0,0] => 101110011000 => 000110011101
[1,0,1,1,1,0,1,0,0,0,1,0] => 101110100010 => 010001011101
[1,0,1,1,1,0,1,0,0,1,0,0] => 101110100100 => 001001011101
[1,0,1,1,1,0,1,0,1,0,0,0] => 101110101000 => 000101011101
[1,0,1,1,1,0,1,1,0,0,0,0] => 101110110000 => 000011011101
>>> Load all 1875 entries. <<<
[1,0,1,1,1,1,0,0,0,0,1,0] => 101111000010 => 010000111101
[1,0,1,1,1,1,0,0,0,1,0,0] => 101111000100 => 001000111101
[1,0,1,1,1,1,0,0,1,0,0,0] => 101111001000 => 000100111101
[1,0,1,1,1,1,0,1,0,0,0,0] => 101111010000 => 000010111101
[1,0,1,1,1,1,1,0,0,0,0,0] => 101111100000 => 000001111101
[1,1,0,0,1,0,1,0,1,0,1,0] => 110010101010 => 010101010011
[1,1,0,0,1,0,1,0,1,1,0,0] => 110010101100 => 001101010011
[1,1,0,0,1,0,1,1,0,0,1,0] => 110010110010 => 010011010011
[1,1,0,0,1,0,1,1,0,1,0,0] => 110010110100 => 001011010011
[1,1,0,0,1,0,1,1,1,0,0,0] => 110010111000 => 000111010011
[1,1,0,0,1,1,0,0,1,0,1,0] => 110011001010 => 010100110011
[1,1,0,0,1,1,0,0,1,1,0,0] => 110011001100 => 001100110011
[1,1,0,0,1,1,0,1,0,0,1,0] => 110011010010 => 010010110011
[1,1,0,0,1,1,0,1,0,1,0,0] => 110011010100 => 001010110011
[1,1,0,0,1,1,0,1,1,0,0,0] => 110011011000 => 000110110011
[1,1,0,0,1,1,1,0,0,0,1,0] => 110011100010 => 010001110011
[1,1,0,0,1,1,1,0,0,1,0,0] => 110011100100 => 001001110011
[1,1,0,0,1,1,1,0,1,0,0,0] => 110011101000 => 000101110011
[1,1,0,0,1,1,1,1,0,0,0,0] => 110011110000 => 000011110011
[1,1,0,1,0,0,1,0,1,0,1,0] => 110100101010 => 010101001011
[1,1,0,1,0,0,1,0,1,1,0,0] => 110100101100 => 001101001011
[1,1,0,1,0,0,1,1,0,0,1,0] => 110100110010 => 010011001011
[1,1,0,1,0,0,1,1,0,1,0,0] => 110100110100 => 001011001011
[1,1,0,1,0,0,1,1,1,0,0,0] => 110100111000 => 000111001011
[1,1,0,1,0,1,0,0,1,0,1,0] => 110101001010 => 010100101011
[1,1,0,1,0,1,0,0,1,1,0,0] => 110101001100 => 001100101011
[1,1,0,1,0,1,0,1,0,0,1,0] => 110101010010 => 010010101011
[1,1,0,1,0,1,0,1,0,1,0,0] => 110101010100 => 001010101011
[1,1,0,1,0,1,0,1,1,0,0,0] => 110101011000 => 000110101011
[1,1,0,1,0,1,1,0,0,0,1,0] => 110101100010 => 010001101011
[1,1,0,1,0,1,1,0,0,1,0,0] => 110101100100 => 001001101011
[1,1,0,1,0,1,1,0,1,0,0,0] => 110101101000 => 000101101011
[1,1,0,1,0,1,1,1,0,0,0,0] => 110101110000 => 000011101011
[1,1,0,1,1,0,0,0,1,0,1,0] => 110110001010 => 010100011011
[1,1,0,1,1,0,0,0,1,1,0,0] => 110110001100 => 001100011011
[1,1,0,1,1,0,0,1,0,0,1,0] => 110110010010 => 010010011011
[1,1,0,1,1,0,0,1,0,1,0,0] => 110110010100 => 001010011011
[1,1,0,1,1,0,0,1,1,0,0,0] => 110110011000 => 000110011011
[1,1,0,1,1,0,1,0,0,0,1,0] => 110110100010 => 010001011011
[1,1,0,1,1,0,1,0,0,1,0,0] => 110110100100 => 001001011011
[1,1,0,1,1,0,1,0,1,0,0,0] => 110110101000 => 000101011011
[1,1,0,1,1,0,1,1,0,0,0,0] => 110110110000 => 000011011011
[1,1,0,1,1,1,0,0,0,0,1,0] => 110111000010 => 010000111011
[1,1,0,1,1,1,0,0,0,1,0,0] => 110111000100 => 001000111011
[1,1,0,1,1,1,0,0,1,0,0,0] => 110111001000 => 000100111011
[1,1,0,1,1,1,0,1,0,0,0,0] => 110111010000 => 000010111011
[1,1,0,1,1,1,1,0,0,0,0,0] => 110111100000 => 000001111011
[1,1,1,0,0,0,1,0,1,0,1,0] => 111000101010 => 010101000111
[1,1,1,0,0,0,1,0,1,1,0,0] => 111000101100 => 001101000111
[1,1,1,0,0,0,1,1,0,0,1,0] => 111000110010 => 010011000111
[1,1,1,0,0,0,1,1,0,1,0,0] => 111000110100 => 001011000111
[1,1,1,0,0,0,1,1,1,0,0,0] => 111000111000 => 000111000111
[1,1,1,0,0,1,0,0,1,0,1,0] => 111001001010 => 010100100111
[1,1,1,0,0,1,0,0,1,1,0,0] => 111001001100 => 001100100111
[1,1,1,0,0,1,0,1,0,0,1,0] => 111001010010 => 010010100111
[1,1,1,0,0,1,0,1,0,1,0,0] => 111001010100 => 001010100111
[1,1,1,0,0,1,0,1,1,0,0,0] => 111001011000 => 000110100111
[1,1,1,0,0,1,1,0,0,0,1,0] => 111001100010 => 010001100111
[1,1,1,0,0,1,1,0,0,1,0,0] => 111001100100 => 001001100111
[1,1,1,0,0,1,1,0,1,0,0,0] => 111001101000 => 000101100111
[1,1,1,0,0,1,1,1,0,0,0,0] => 111001110000 => 000011100111
[1,1,1,0,1,0,0,0,1,0,1,0] => 111010001010 => 010100010111
[1,1,1,0,1,0,0,0,1,1,0,0] => 111010001100 => 001100010111
[1,1,1,0,1,0,0,1,0,0,1,0] => 111010010010 => 010010010111
[1,1,1,0,1,0,0,1,0,1,0,0] => 111010010100 => 001010010111
[1,1,1,0,1,0,0,1,1,0,0,0] => 111010011000 => 000110010111
[1,1,1,0,1,0,1,0,0,0,1,0] => 111010100010 => 010001010111
[1,1,1,0,1,0,1,0,0,1,0,0] => 111010100100 => 001001010111
[1,1,1,0,1,0,1,0,1,0,0,0] => 111010101000 => 000101010111
[1,1,1,0,1,0,1,1,0,0,0,0] => 111010110000 => 000011010111
[1,1,1,0,1,1,0,0,0,0,1,0] => 111011000010 => 010000110111
[1,1,1,0,1,1,0,0,0,1,0,0] => 111011000100 => 001000110111
[1,1,1,0,1,1,0,0,1,0,0,0] => 111011001000 => 000100110111
[1,1,1,0,1,1,0,1,0,0,0,0] => 111011010000 => 000010110111
[1,1,1,0,1,1,1,0,0,0,0,0] => 111011100000 => 000001110111
[1,1,1,1,0,0,0,0,1,0,1,0] => 111100001010 => 010100001111
[1,1,1,1,0,0,0,0,1,1,0,0] => 111100001100 => 001100001111
[1,1,1,1,0,0,0,1,0,0,1,0] => 111100010010 => 010010001111
[1,1,1,1,0,0,0,1,0,1,0,0] => 111100010100 => 001010001111
[1,1,1,1,0,0,0,1,1,0,0,0] => 111100011000 => 000110001111
[1,1,1,1,0,0,1,0,0,0,1,0] => 111100100010 => 010001001111
[1,1,1,1,0,0,1,0,0,1,0,0] => 111100100100 => 001001001111
[1,1,1,1,0,0,1,0,1,0,0,0] => 111100101000 => 000101001111
[1,1,1,1,0,0,1,1,0,0,0,0] => 111100110000 => 000011001111
[1,1,1,1,0,1,0,0,0,0,1,0] => 111101000010 => 010000101111
[1,1,1,1,0,1,0,0,0,1,0,0] => 111101000100 => 001000101111
[1,1,1,1,0,1,0,0,1,0,0,0] => 111101001000 => 000100101111
[1,1,1,1,0,1,0,1,0,0,0,0] => 111101010000 => 000010101111
[1,1,1,1,0,1,1,0,0,0,0,0] => 111101100000 => 000001101111
[1,1,1,1,1,0,0,0,0,0,1,0] => 111110000010 => 010000011111
[1,1,1,1,1,0,0,0,0,1,0,0] => 111110000100 => 001000011111
[1,1,1,1,1,0,0,0,1,0,0,0] => 111110001000 => 000100011111
[1,1,1,1,1,0,0,1,0,0,0,0] => 111110010000 => 000010011111
[1,1,1,1,1,0,1,0,0,0,0,0] => 111110100000 => 000001011111
[1,1,1,1,1,1,0,0,0,0,0,0] => 111111000000 => 000000111111
[1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 10101010101010 => 01010101010101
[1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 10101010101100 => 00110101010101
[1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 10101010110010 => 01001101010101
[1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 10101010110100 => 00101101010101
[1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 10101010111000 => 00011101010101
[1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 10101011001010 => 01010011010101
[1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 10101011001100 => 00110011010101
[1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 10101011010010 => 01001011010101
[1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 10101011010100 => 00101011010101
[1,0,1,0,1,0,1,1,0,1,1,0,0,0] => 10101011011000 => 00011011010101
[1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 10101011100010 => 01000111010101
[1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 10101011100100 => 00100111010101
[1,0,1,0,1,0,1,1,1,0,1,0,0,0] => 10101011101000 => 00010111010101
[1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 10101011110000 => 00001111010101
[1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 10101100101010 => 01010100110101
[1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 10101100101100 => 00110100110101
[1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 10101100110010 => 01001100110101
[1,0,1,0,1,1,0,0,1,1,0,1,0,0] => 10101100110100 => 00101100110101
[1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10101100111000 => 00011100110101
[1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 10101101001010 => 01010010110101
[1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 10101101001100 => 00110010110101
[1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 10101101010010 => 01001010110101
[1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 10101101010100 => 00101010110101
[1,0,1,0,1,1,0,1,0,1,1,0,0,0] => 10101101011000 => 00011010110101
[1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 10101101100010 => 01000110110101
[1,0,1,0,1,1,0,1,1,0,0,1,0,0] => 10101101100100 => 00100110110101
[1,0,1,0,1,1,0,1,1,0,1,0,0,0] => 10101101101000 => 00010110110101
[1,0,1,0,1,1,0,1,1,1,0,0,0,0] => 10101101110000 => 00001110110101
[1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 10101110001010 => 01010001110101
[1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 10101110001100 => 00110001110101
[1,0,1,0,1,1,1,0,0,1,0,0,1,0] => 10101110010010 => 01001001110101
[1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 10101110010100 => 00101001110101
[1,0,1,0,1,1,1,0,0,1,1,0,0,0] => 10101110011000 => 00011001110101
[1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 10101110100010 => 01000101110101
[1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 10101110100100 => 00100101110101
[1,0,1,0,1,1,1,0,1,0,1,0,0,0] => 10101110101000 => 00010101110101
[1,0,1,0,1,1,1,0,1,1,0,0,0,0] => 10101110110000 => 00001101110101
[1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 10101111000010 => 01000011110101
[1,0,1,0,1,1,1,1,0,0,0,1,0,0] => 10101111000100 => 00100011110101
[1,0,1,0,1,1,1,1,0,0,1,0,0,0] => 10101111001000 => 00010011110101
[1,0,1,0,1,1,1,1,0,1,0,0,0,0] => 10101111010000 => 00001011110101
[1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 10101111100000 => 00000111110101
[1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 10110010101010 => 01010101001101
[1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 10110010101100 => 00110101001101
[1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 10110010110010 => 01001101001101
[1,0,1,1,0,0,1,0,1,1,0,1,0,0] => 10110010110100 => 00101101001101
[1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 10110010111000 => 00011101001101
[1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 10110011001010 => 01010011001101
[1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 10110011001100 => 00110011001101
[1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 10110011010010 => 01001011001101
[1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 10110011010100 => 00101011001101
[1,0,1,1,0,0,1,1,0,1,1,0,0,0] => 10110011011000 => 00011011001101
[1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10110011100010 => 01000111001101
[1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 10110011100100 => 00100111001101
[1,0,1,1,0,0,1,1,1,0,1,0,0,0] => 10110011101000 => 00010111001101
[1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 10110011110000 => 00001111001101
[1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 10110100101010 => 01010100101101
[1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 10110100101100 => 00110100101101
[1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 10110100110010 => 01001100101101
[1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 10110100110100 => 00101100101101
[1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 10110100111000 => 00011100101101
[1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 10110101001010 => 01010010101101
[1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 10110101001100 => 00110010101101
[1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 10110101010010 => 01001010101101
[1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 10110101010100 => 00101010101101
[1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 10110101011000 => 00011010101101
[1,0,1,1,0,1,0,1,1,0,0,0,1,0] => 10110101100010 => 01000110101101
[1,0,1,1,0,1,0,1,1,0,0,1,0,0] => 10110101100100 => 00100110101101
[1,0,1,1,0,1,0,1,1,0,1,0,0,0] => 10110101101000 => 00010110101101
[1,0,1,1,0,1,0,1,1,1,0,0,0,0] => 10110101110000 => 00001110101101
[1,0,1,1,0,1,1,0,0,0,1,0,1,0] => 10110110001010 => 01010001101101
[1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 10110110001100 => 00110001101101
[1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 10110110010010 => 01001001101101
[1,0,1,1,0,1,1,0,0,1,0,1,0,0] => 10110110010100 => 00101001101101
[1,0,1,1,0,1,1,0,0,1,1,0,0,0] => 10110110011000 => 00011001101101
[1,0,1,1,0,1,1,0,1,0,0,0,1,0] => 10110110100010 => 01000101101101
[1,0,1,1,0,1,1,0,1,0,0,1,0,0] => 10110110100100 => 00100101101101
[1,0,1,1,0,1,1,0,1,0,1,0,0,0] => 10110110101000 => 00010101101101
[1,0,1,1,0,1,1,0,1,1,0,0,0,0] => 10110110110000 => 00001101101101
[1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 10110111000010 => 01000011101101
[1,0,1,1,0,1,1,1,0,0,0,1,0,0] => 10110111000100 => 00100011101101
[1,0,1,1,0,1,1,1,0,0,1,0,0,0] => 10110111001000 => 00010011101101
[1,0,1,1,0,1,1,1,0,1,0,0,0,0] => 10110111010000 => 00001011101101
[1,0,1,1,0,1,1,1,1,0,0,0,0,0] => 10110111100000 => 00000111101101
[1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 10111000101010 => 01010100011101
[1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10111000101100 => 00110100011101
[1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 10111000110010 => 01001100011101
[1,0,1,1,1,0,0,0,1,1,0,1,0,0] => 10111000110100 => 00101100011101
[1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 10111000111000 => 00011100011101
[1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 10111001001010 => 01010010011101
[1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 10111001001100 => 00110010011101
[1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 10111001010010 => 01001010011101
[1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 10111001010100 => 00101010011101
[1,0,1,1,1,0,0,1,0,1,1,0,0,0] => 10111001011000 => 00011010011101
[1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 10111001100010 => 01000110011101
[1,0,1,1,1,0,0,1,1,0,0,1,0,0] => 10111001100100 => 00100110011101
[1,0,1,1,1,0,0,1,1,0,1,0,0,0] => 10111001101000 => 00010110011101
[1,0,1,1,1,0,0,1,1,1,0,0,0,0] => 10111001110000 => 00001110011101
[1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 10111010001010 => 01010001011101
[1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 10111010001100 => 00110001011101
[1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 10111010010010 => 01001001011101
[1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 10111010010100 => 00101001011101
[1,0,1,1,1,0,1,0,0,1,1,0,0,0] => 10111010011000 => 00011001011101
[1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 10111010100010 => 01000101011101
[1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 10111010100100 => 00100101011101
[1,0,1,1,1,0,1,0,1,0,1,0,0,0] => 10111010101000 => 00010101011101
[1,0,1,1,1,0,1,0,1,1,0,0,0,0] => 10111010110000 => 00001101011101
[1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 10111011000010 => 01000011011101
[1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 10111011000100 => 00100011011101
[1,0,1,1,1,0,1,1,0,0,1,0,0,0] => 10111011001000 => 00010011011101
[1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 10111011010000 => 00001011011101
[1,0,1,1,1,0,1,1,1,0,0,0,0,0] => 10111011100000 => 00000111011101
[1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 10111100001010 => 01010000111101
[1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 10111100001100 => 00110000111101
[1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 10111100010010 => 01001000111101
[1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 10111100010100 => 00101000111101
[1,0,1,1,1,1,0,0,0,1,1,0,0,0] => 10111100011000 => 00011000111101
[1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 10111100100010 => 01000100111101
[1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 10111100100100 => 00100100111101
[1,0,1,1,1,1,0,0,1,0,1,0,0,0] => 10111100101000 => 00010100111101
[1,0,1,1,1,1,0,0,1,1,0,0,0,0] => 10111100110000 => 00001100111101
[1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 10111101000010 => 01000010111101
[1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 10111101000100 => 00100010111101
[1,0,1,1,1,1,0,1,0,0,1,0,0,0] => 10111101001000 => 00010010111101
[1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 10111101010000 => 00001010111101
[1,0,1,1,1,1,0,1,1,0,0,0,0,0] => 10111101100000 => 00000110111101
[1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 10111110000010 => 01000001111101
[1,0,1,1,1,1,1,0,0,0,0,1,0,0] => 10111110000100 => 00100001111101
[1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 10111110001000 => 00010001111101
[1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 10111110010000 => 00001001111101
[1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 10111110100000 => 00000101111101
[1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 10111111000000 => 00000011111101
[1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 11001010101010 => 01010101010011
[1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 11001010101100 => 00110101010011
[1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 11001010110010 => 01001101010011
[1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 11001010110100 => 00101101010011
[1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 11001010111000 => 00011101010011
[1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 11001011001010 => 01010011010011
[1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 11001011001100 => 00110011010011
[1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 11001011010010 => 01001011010011
[1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 11001011010100 => 00101011010011
[1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 11001011011000 => 00011011010011
[1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11001011100010 => 01000111010011
[1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 11001011100100 => 00100111010011
[1,1,0,0,1,0,1,1,1,0,1,0,0,0] => 11001011101000 => 00010111010011
[1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 11001011110000 => 00001111010011
[1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 11001100101010 => 01010100110011
[1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11001100101100 => 00110100110011
[1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 11001100110010 => 01001100110011
[1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 11001100110100 => 00101100110011
[1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 11001100111000 => 00011100110011
[1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 11001101001010 => 01010010110011
[1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 11001101001100 => 00110010110011
[1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 11001101010010 => 01001010110011
[1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 11001101010100 => 00101010110011
[1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 11001101011000 => 00011010110011
[1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 11001101100010 => 01000110110011
[1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 11001101100100 => 00100110110011
[1,1,0,0,1,1,0,1,1,0,1,0,0,0] => 11001101101000 => 00010110110011
[1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 11001101110000 => 00001110110011
[1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 11001110001010 => 01010001110011
[1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 11001110001100 => 00110001110011
[1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 11001110010010 => 01001001110011
[1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 11001110010100 => 00101001110011
[1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 11001110011000 => 00011001110011
[1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 11001110100010 => 01000101110011
[1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 11001110100100 => 00100101110011
[1,1,0,0,1,1,1,0,1,0,1,0,0,0] => 11001110101000 => 00010101110011
[1,1,0,0,1,1,1,0,1,1,0,0,0,0] => 11001110110000 => 00001101110011
[1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11001111000010 => 01000011110011
[1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 11001111000100 => 00100011110011
[1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 11001111001000 => 00010011110011
[1,1,0,0,1,1,1,1,0,1,0,0,0,0] => 11001111010000 => 00001011110011
[1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 11001111100000 => 00000111110011
[1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 11010010101010 => 01010101001011
[1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 11010010101100 => 00110101001011
[1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 11010010110010 => 01001101001011
[1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 11010010110100 => 00101101001011
[1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 11010010111000 => 00011101001011
[1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 11010011001010 => 01010011001011
[1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 11010011001100 => 00110011001011
[1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 11010011010010 => 01001011001011
[1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 11010011010100 => 00101011001011
[1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 11010011011000 => 00011011001011
[1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 11010011100010 => 01000111001011
[1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 11010011100100 => 00100111001011
[1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 11010011101000 => 00010111001011
[1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 11010011110000 => 00001111001011
[1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 11010100101010 => 01010100101011
[1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 11010100101100 => 00110100101011
[1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 11010100110010 => 01001100101011
[1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 11010100110100 => 00101100101011
[1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 11010100111000 => 00011100101011
[1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 11010101001010 => 01010010101011
[1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 11010101001100 => 00110010101011
[1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 11010101010010 => 01001010101011
[1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 11010101010100 => 00101010101011
[1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 11010101011000 => 00011010101011
[1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 11010101100010 => 01000110101011
[1,1,0,1,0,1,0,1,1,0,0,1,0,0] => 11010101100100 => 00100110101011
[1,1,0,1,0,1,0,1,1,0,1,0,0,0] => 11010101101000 => 00010110101011
[1,1,0,1,0,1,0,1,1,1,0,0,0,0] => 11010101110000 => 00001110101011
[1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 11010110001010 => 01010001101011
[1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 11010110001100 => 00110001101011
[1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 11010110010010 => 01001001101011
[1,1,0,1,0,1,1,0,0,1,0,1,0,0] => 11010110010100 => 00101001101011
[1,1,0,1,0,1,1,0,0,1,1,0,0,0] => 11010110011000 => 00011001101011
[1,1,0,1,0,1,1,0,1,0,0,0,1,0] => 11010110100010 => 01000101101011
[1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 11010110100100 => 00100101101011
[1,1,0,1,0,1,1,0,1,0,1,0,0,0] => 11010110101000 => 00010101101011
[1,1,0,1,0,1,1,0,1,1,0,0,0,0] => 11010110110000 => 00001101101011
[1,1,0,1,0,1,1,1,0,0,0,0,1,0] => 11010111000010 => 01000011101011
[1,1,0,1,0,1,1,1,0,0,0,1,0,0] => 11010111000100 => 00100011101011
[1,1,0,1,0,1,1,1,0,0,1,0,0,0] => 11010111001000 => 00010011101011
[1,1,0,1,0,1,1,1,0,1,0,0,0,0] => 11010111010000 => 00001011101011
[1,1,0,1,0,1,1,1,1,0,0,0,0,0] => 11010111100000 => 00000111101011
[1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 11011000101010 => 01010100011011
[1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 11011000101100 => 00110100011011
[1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 11011000110010 => 01001100011011
[1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 11011000110100 => 00101100011011
[1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 11011000111000 => 00011100011011
[1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 11011001001010 => 01010010011011
[1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 11011001001100 => 00110010011011
[1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 11011001010010 => 01001010011011
[1,1,0,1,1,0,0,1,0,1,0,1,0,0] => 11011001010100 => 00101010011011
[1,1,0,1,1,0,0,1,0,1,1,0,0,0] => 11011001011000 => 00011010011011
[1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 11011001100010 => 01000110011011
[1,1,0,1,1,0,0,1,1,0,0,1,0,0] => 11011001100100 => 00100110011011
[1,1,0,1,1,0,0,1,1,0,1,0,0,0] => 11011001101000 => 00010110011011
[1,1,0,1,1,0,0,1,1,1,0,0,0,0] => 11011001110000 => 00001110011011
[1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 11011010001010 => 01010001011011
[1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 11011010001100 => 00110001011011
[1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 11011010010010 => 01001001011011
[1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 11011010010100 => 00101001011011
[1,1,0,1,1,0,1,0,0,1,1,0,0,0] => 11011010011000 => 00011001011011
[1,1,0,1,1,0,1,0,1,0,0,0,1,0] => 11011010100010 => 01000101011011
[1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 11011010100100 => 00100101011011
[1,1,0,1,1,0,1,0,1,0,1,0,0,0] => 11011010101000 => 00010101011011
[1,1,0,1,1,0,1,0,1,1,0,0,0,0] => 11011010110000 => 00001101011011
[1,1,0,1,1,0,1,1,0,0,0,0,1,0] => 11011011000010 => 01000011011011
[1,1,0,1,1,0,1,1,0,0,0,1,0,0] => 11011011000100 => 00100011011011
[1,1,0,1,1,0,1,1,0,0,1,0,0,0] => 11011011001000 => 00010011011011
[1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 11011011010000 => 00001011011011
[1,1,0,1,1,0,1,1,1,0,0,0,0,0] => 11011011100000 => 00000111011011
[1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 11011100001010 => 01010000111011
[1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 11011100001100 => 00110000111011
[1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 11011100010010 => 01001000111011
[1,1,0,1,1,1,0,0,0,1,0,1,0,0] => 11011100010100 => 00101000111011
[1,1,0,1,1,1,0,0,0,1,1,0,0,0] => 11011100011000 => 00011000111011
[1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 11011100100010 => 01000100111011
[1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 11011100100100 => 00100100111011
[1,1,0,1,1,1,0,0,1,0,1,0,0,0] => 11011100101000 => 00010100111011
[1,1,0,1,1,1,0,0,1,1,0,0,0,0] => 11011100110000 => 00001100111011
[1,1,0,1,1,1,0,1,0,0,0,0,1,0] => 11011101000010 => 01000010111011
[1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 11011101000100 => 00100010111011
[1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 11011101001000 => 00010010111011
[1,1,0,1,1,1,0,1,0,1,0,0,0,0] => 11011101010000 => 00001010111011
[1,1,0,1,1,1,0,1,1,0,0,0,0,0] => 11011101100000 => 00000110111011
[1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 11011110000010 => 01000001111011
[1,1,0,1,1,1,1,0,0,0,0,1,0,0] => 11011110000100 => 00100001111011
[1,1,0,1,1,1,1,0,0,0,1,0,0,0] => 11011110001000 => 00010001111011
[1,1,0,1,1,1,1,0,0,1,0,0,0,0] => 11011110010000 => 00001001111011
[1,1,0,1,1,1,1,0,1,0,0,0,0,0] => 11011110100000 => 00000101111011
[1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 11011111000000 => 00000011111011
[1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 11100010101010 => 01010101000111
[1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 11100010101100 => 00110101000111
[1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 11100010110010 => 01001101000111
[1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 11100010110100 => 00101101000111
[1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 11100010111000 => 00011101000111
[1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 11100011001010 => 01010011000111
[1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11100011001100 => 00110011000111
[1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 11100011010010 => 01001011000111
[1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 11100011010100 => 00101011000111
[1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 11100011011000 => 00011011000111
[1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 11100011100010 => 01000111000111
[1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 11100011100100 => 00100111000111
[1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 11100011101000 => 00010111000111
[1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 11100011110000 => 00001111000111
[1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 11100100101010 => 01010100100111
[1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 11100100101100 => 00110100100111
[1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 11100100110010 => 01001100100111
[1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 11100100110100 => 00101100100111
[1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 11100100111000 => 00011100100111
[1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 11100101001010 => 01010010100111
[1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 11100101001100 => 00110010100111
[1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 11100101010010 => 01001010100111
[1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 11100101010100 => 00101010100111
[1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 11100101011000 => 00011010100111
[1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 11100101100010 => 01000110100111
[1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 11100101100100 => 00100110100111
[1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 11100101101000 => 00010110100111
[1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 11100101110000 => 00001110100111
[1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 11100110001010 => 01010001100111
[1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 11100110001100 => 00110001100111
[1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 11100110010010 => 01001001100111
[1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 11100110010100 => 00101001100111
[1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 11100110011000 => 00011001100111
[1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 11100110100010 => 01000101100111
[1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 11100110100100 => 00100101100111
[1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 11100110101000 => 00010101100111
[1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 11100110110000 => 00001101100111
[1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 11100111000010 => 01000011100111
[1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 11100111000100 => 00100011100111
[1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 11100111001000 => 00010011100111
[1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 11100111010000 => 00001011100111
[1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 11100111100000 => 00000111100111
[1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 11101000101010 => 01010100010111
[1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 11101000101100 => 00110100010111
[1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 11101000110010 => 01001100010111
[1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 11101000110100 => 00101100010111
[1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 11101000111000 => 00011100010111
[1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 11101001001010 => 01010010010111
[1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 11101001001100 => 00110010010111
[1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 11101001010010 => 01001010010111
[1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 11101001010100 => 00101010010111
[1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 11101001011000 => 00011010010111
[1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 11101001100010 => 01000110010111
[1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 11101001100100 => 00100110010111
[1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 11101001101000 => 00010110010111
[1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 11101001110000 => 00001110010111
[1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 11101010001010 => 01010001010111
[1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 11101010001100 => 00110001010111
[1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 11101010010010 => 01001001010111
[1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 11101010010100 => 00101001010111
[1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 11101010011000 => 00011001010111
[1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 11101010100010 => 01000101010111
[1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 11101010100100 => 00100101010111
[1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 11101010101000 => 00010101010111
[1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 11101010110000 => 00001101010111
[1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 11101011000010 => 01000011010111
[1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 11101011000100 => 00100011010111
[1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 11101011001000 => 00010011010111
[1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 11101011010000 => 00001011010111
[1,1,1,0,1,0,1,1,1,0,0,0,0,0] => 11101011100000 => 00000111010111
[1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 11101100001010 => 01010000110111
[1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 11101100001100 => 00110000110111
[1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 11101100010010 => 01001000110111
[1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 11101100010100 => 00101000110111
[1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 11101100011000 => 00011000110111
[1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 11101100100010 => 01000100110111
[1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 11101100100100 => 00100100110111
[1,1,1,0,1,1,0,0,1,0,1,0,0,0] => 11101100101000 => 00010100110111
[1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 11101100110000 => 00001100110111
[1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 11101101000010 => 01000010110111
[1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 11101101000100 => 00100010110111
[1,1,1,0,1,1,0,1,0,0,1,0,0,0] => 11101101001000 => 00010010110111
[1,1,1,0,1,1,0,1,0,1,0,0,0,0] => 11101101010000 => 00001010110111
[1,1,1,0,1,1,0,1,1,0,0,0,0,0] => 11101101100000 => 00000110110111
[1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 11101110000010 => 01000001110111
[1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 11101110000100 => 00100001110111
[1,1,1,0,1,1,1,0,0,0,1,0,0,0] => 11101110001000 => 00010001110111
[1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 11101110010000 => 00001001110111
[1,1,1,0,1,1,1,0,1,0,0,0,0,0] => 11101110100000 => 00000101110111
[1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 11101111000000 => 00000011110111
[1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 11110000101010 => 01010100001111
[1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 11110000101100 => 00110100001111
[1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 11110000110010 => 01001100001111
[1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 11110000110100 => 00101100001111
[1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 11110000111000 => 00011100001111
[1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 11110001001010 => 01010010001111
[1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 11110001001100 => 00110010001111
[1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 11110001010010 => 01001010001111
[1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 11110001010100 => 00101010001111
[1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 11110001011000 => 00011010001111
[1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 11110001100010 => 01000110001111
[1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 11110001100100 => 00100110001111
[1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 11110001101000 => 00010110001111
[1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 11110001110000 => 00001110001111
[1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 11110010001010 => 01010001001111
[1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 11110010001100 => 00110001001111
[1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 11110010010010 => 01001001001111
[1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 11110010010100 => 00101001001111
[1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 11110010011000 => 00011001001111
[1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 11110010100010 => 01000101001111
[1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 11110010100100 => 00100101001111
[1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 11110010101000 => 00010101001111
[1,1,1,1,0,0,1,0,1,1,0,0,0,0] => 11110010110000 => 00001101001111
[1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 11110011000010 => 01000011001111
[1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 11110011000100 => 00100011001111
[1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 11110011001000 => 00010011001111
[1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 11110011010000 => 00001011001111
[1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 11110011100000 => 00000111001111
[1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 11110100001010 => 01010000101111
[1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 11110100001100 => 00110000101111
[1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 11110100010010 => 01001000101111
[1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 11110100010100 => 00101000101111
[1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 11110100011000 => 00011000101111
[1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 11110100100010 => 01000100101111
[1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 11110100100100 => 00100100101111
[1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 11110100101000 => 00010100101111
[1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 11110100110000 => 00001100101111
[1,1,1,1,0,1,0,1,0,0,0,0,1,0] => 11110101000010 => 01000010101111
[1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 11110101000100 => 00100010101111
[1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 11110101001000 => 00010010101111
[1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 11110101010000 => 00001010101111
[1,1,1,1,0,1,0,1,1,0,0,0,0,0] => 11110101100000 => 00000110101111
[1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 11110110000010 => 01000001101111
[1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 11110110000100 => 00100001101111
[1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 11110110001000 => 00010001101111
[1,1,1,1,0,1,1,0,0,1,0,0,0,0] => 11110110010000 => 00001001101111
[1,1,1,1,0,1,1,0,1,0,0,0,0,0] => 11110110100000 => 00000101101111
[1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 11110111000000 => 00000011101111
[1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 11111000001010 => 01010000011111
[1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 11111000001100 => 00110000011111
[1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 11111000010010 => 01001000011111
[1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 11111000010100 => 00101000011111
[1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 11111000011000 => 00011000011111
[1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 11111000100010 => 01000100011111
[1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 11111000100100 => 00100100011111
[1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 11111000101000 => 00010100011111
[1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 11111000110000 => 00001100011111
[1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 11111001000010 => 01000010011111
[1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 11111001000100 => 00100010011111
[1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 11111001001000 => 00010010011111
[1,1,1,1,1,0,0,1,0,1,0,0,0,0] => 11111001010000 => 00001010011111
[1,1,1,1,1,0,0,1,1,0,0,0,0,0] => 11111001100000 => 00000110011111
[1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 11111010000010 => 01000001011111
[1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 11111010000100 => 00100001011111
[1,1,1,1,1,0,1,0,0,0,1,0,0,0] => 11111010001000 => 00010001011111
[1,1,1,1,1,0,1,0,0,1,0,0,0,0] => 11111010010000 => 00001001011111
[1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 11111010100000 => 00000101011111
[1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 11111011000000 => 00000011011111
[1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 11111100000010 => 01000000111111
[1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 11111100000100 => 00100000111111
[1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 11111100001000 => 00010000111111
[1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 11111100010000 => 00001000111111
[1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 11111100100000 => 00000100111111
[1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 11111101000000 => 00000010111111
[1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 11111110000000 => 00000001111111
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1010101010101010 => 0101010101010101
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 1010101010101100 => 0011010101010101
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 1010101010110010 => 0100110101010101
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 1010101010110100 => 0010110101010101
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 1010101010111000 => 0001110101010101
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 1010101011001010 => 0101001101010101
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 1010101011001100 => 0011001101010101
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 1010101011010010 => 0100101101010101
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 1010101011010100 => 0010101101010101
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => 1010101011011000 => 0001101101010101
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 1010101011100010 => 0100011101010101
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 1010101011100100 => 0010011101010101
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => 1010101011101000 => 0001011101010101
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 1010101011110000 => 0000111101010101
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 1010101100101010 => 0101010011010101
[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 1010101100101100 => 0011010011010101
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 1010101101010100 => 0010101011010101
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 1010101101100010 => 0100011011010101
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 1010101110001010 => 0101000111010101
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 1010101110001100 => 0011000111010101
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 1010101110010100 => 0010100111010101
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 1010101110100100 => 0010010111010101
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 1010101111000010 => 0100001111010101
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => 1010101111000100 => 0010001111010101
[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => 1010101111010000 => 0000101111010101
[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 1010101111100000 => 0000011111010101
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 1010110010101010 => 0101010100110101
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 1010110010101100 => 0011010100110101
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => 1010110010110100 => 0010110100110101
[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 1010110011001010 => 0101001100110101
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 1010110011001100 => 0011001100110101
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 1010110011010100 => 0010101100110101
[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 1010110011110000 => 0000111100110101
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 1010110101010100 => 0010101010110101
[1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 1010110101011000 => 0001101010110101
[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => 1010110110001010 => 0101000110110101
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 1010111000101010 => 0101010001110101
[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 1010111000111000 => 0001110001110101
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 1010111001010100 => 0010101001110101
[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 1010111010001010 => 0101000101110101
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 1010111010010100 => 0010100101110101
[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 1010111010100100 => 0010010101110101
[1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => 1010111010110000 => 0000110101110101
[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 1010111011000100 => 0010001101110101
[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 1010111011010000 => 0000101101110101
[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => 1010111011100000 => 0000011101110101
[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 1010111100001010 => 0101000011110101
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 1010111100001100 => 0011000011110101
[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 1010111100010100 => 0010100011110101
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 1010111101000100 => 0010001011110101
[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 1010111101010000 => 0000101011110101
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 1010111110000010 => 0100000111110101
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => 1010111110000100 => 0010000111110101
[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 1010111110001000 => 0001000111110101
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 1010111110010000 => 0000100111110101
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 1010111110100000 => 0000010111110101
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1010111111000000 => 0000001111110101
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 1011001010101010 => 0101010101001101
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 1011001010101100 => 0011010101001101
[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 1011001010110010 => 0100110101001101
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 1011001010110100 => 0010110101001101
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 1011001011110000 => 0000111101001101
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 1011001100101010 => 0101010011001101
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 1011001100110010 => 0100110011001101
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 1011001100111000 => 0001110011001101
[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 1011001110001010 => 0101000111001101
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 1011001111000010 => 0100001111001101
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1011001111100000 => 0000011111001101
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 1011010010101010 => 0101010100101101
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 1011010010101100 => 0011010100101101
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 1011010010110100 => 0010110100101101
[1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 1011010011010010 => 0100101100101101
[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 1011010011110000 => 0000111100101101
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 1011010101010100 => 0010101010101101
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 1011010101011000 => 0001101010101101
[1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 1011010101100010 => 0100011010101101
[1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0] => 1011010101100100 => 0010011010101101
[1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 1011010110001010 => 0101000110101101
[1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0] => 1011010110010100 => 0010100110101101
[1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 1011011000101010 => 0101010001101101
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 1011011000110010 => 0100110001101101
[1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => 1011011001010100 => 0010101001101101
[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 1011011001100010 => 0100011001101101
[1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 1011011010010010 => 0100100101101101
[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 1011011011010000 => 0000101101101101
[1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0] => 1011011011100000 => 0000011101101101
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 1011011100100010 => 0100010011101101
[1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 1011011101001000 => 0001001011101101
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 1011100010101010 => 0101010100011101
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 1011100010110100 => 0010110100011101
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 1011100011001100 => 0011001100011101
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 1011100011100010 => 0100011100011101
[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1011100011110000 => 0000111100011101
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 1011100100110010 => 0100110010011101
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 1011100101010100 => 0010101010011101
[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 1011100110010010 => 0100100110011101
[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 1011101000101010 => 0101010001011101
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 1011101000111000 => 0001110001011101
[1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 1011101001010010 => 0100101001011101
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 1011101001010100 => 0010101001011101
[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 1011101001101000 => 0001011001011101
[1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 1011101010001010 => 0101000101011101
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 1011101010010100 => 0010100101011101
[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 1011101010100010 => 0100010101011101
[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 1011101010100100 => 0010010101011101
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 1011101010101000 => 0001010101011101
[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 1011101011000100 => 0010001101011101
[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 1011101011010000 => 0000101101011101
[1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] => 1011101011100000 => 0000011101011101
[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 1011101100010010 => 0100100011011101
[1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 1011101100010100 => 0010100011011101
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 1011101101000100 => 0010001011011101
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 1011101110000100 => 0010000111011101
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 1011101110010000 => 0000100111011101
[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 1011110000101010 => 0101010000111101
[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1011110000111000 => 0001110000111101
[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 1011110001010100 => 0010101000111101
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 1011110010101000 => 0001010100111101
[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 1011110011000010 => 0100001100111101
[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 1011110011100000 => 0000011100111101
[1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 1011110100001100 => 0011000010111101
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 1011110100100100 => 0010010010111101
[1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 1011110100101000 => 0001010010111101
[1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 1011110101000100 => 0010001010111101
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 1011110101010000 => 0000101010111101
[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 1011110111000000 => 0000001110111101
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 1011111000001010 => 0101000001111101
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 1011111000001100 => 0011000001111101
[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 1011111000010100 => 0010100001111101
[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 1011111000101000 => 0001010001111101
[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 1011111001000100 => 0010001001111101
[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => 1011111001010000 => 0000101001111101
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 1011111010000010 => 0100000101111101
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] => 1011111010010000 => 0000100101111101
[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 1011111010100000 => 0000010101111101
[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 1011111011000000 => 0000001101111101
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1011111100000010 => 0100000011111101
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 1011111100000100 => 0010000011111101
[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 1011111100001000 => 0001000011111101
[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 1011111100010000 => 0000100011111101
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 1011111100100000 => 0000010011111101
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 1011111101000000 => 0000001011111101
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 1011111110000000 => 0000000111111101
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1100101010101010 => 0101010101010011
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 1100101010101100 => 0011010101010011
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 1100101010110010 => 0100110101010011
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => 1100101010110100 => 0010110101010011
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 1100101010111000 => 0001110101010011
[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 1100101011001010 => 0101001101010011
[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => 1100101011010100 => 0010101101010011
[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 1100101011110000 => 0000111101010011
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => 1100101101010100 => 0010101011010011
[1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => 1100101110101000 => 0001010111010011
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => 1100101111010000 => 0000101111010011
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 1100101111100000 => 0000011111010011
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 1100110010101010 => 0101010100110011
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 1100110011001010 => 0101001100110011
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 1100110011001100 => 0011001100110011
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 1100110011100010 => 0100011100110011
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => 1100110011101000 => 0001011100110011
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 1100110011110000 => 0000111100110011
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => 1100110100101010 => 0101010010110011
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => 1100110101010100 => 0010101010110011
[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => 1100110101110000 => 0000111010110011
[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => 1100110111100000 => 0000011110110011
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 1100111000101010 => 0101010001110011
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => 1100111001010100 => 0010101001110011
[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => 1100111010001100 => 0011000101110011
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => 1100111010101000 => 0001010101110011
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => 1100111011001000 => 0001001101110011
[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => 1100111011100000 => 0000011101110011
[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 1100111100001010 => 0101000011110011
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 1100111100001100 => 0011000011110011
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => 1100111101010000 => 0000101011110011
[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => 1100111101100000 => 0000011011110011
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 1100111110000010 => 0100000111110011
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => 1100111110000100 => 0010000111110011
[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => 1100111110001000 => 0001000111110011
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => 1100111110010000 => 0000100111110011
[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => 1100111110100000 => 0000010111110011
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1100111111000000 => 0000001111110011
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => 1101001010101010 => 0101010101001011
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => 1101001010101100 => 0011010101001011
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => 1101001010110100 => 0010110101001011
[1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => 1101001011110000 => 0000111101001011
[1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => 1101001100101010 => 0101010011001011
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => 1101001100110010 => 0100110011001011
[1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0] => 1101001101001010 => 0101001011001011
[1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => 1101001101101000 => 0001011011001011
[1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0] => 1101001110001010 => 0101000111001011
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0] => 1101001110010010 => 0100100111001011
[1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0] => 1101001110011000 => 0001100111001011
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 1101001110100100 => 0010010111001011
[1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0] => 1101001110110000 => 0000110111001011
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0] => 1101001111010000 => 0000101111001011
[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1101001111100000 => 0000011111001011
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => 1101010010101010 => 0101010100101011
[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0] => 1101010010110100 => 0010110100101011
[1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0] => 1101010010111000 => 0001110100101011
[1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0] => 1101010011001010 => 0101001100101011
[1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0] => 1101010011010010 => 0100101100101011
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => 1101010011010100 => 0010101100101011
[1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0] => 1101010011100010 => 0100011100101011
[1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => 1101010011110000 => 0000111100101011
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => 1101010100101010 => 0101010010101011
[1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => 1101010100101100 => 0011010010101011
[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0] => 1101010100110010 => 0100110010101011
[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0] => 1101010100110100 => 0010110010101011
[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => 1101010100111000 => 0001110010101011
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => 1101010101001010 => 0101001010101011
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => 1101010101001100 => 0011001010101011
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => 1101010101010010 => 0100101010101011
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 1101010101010100 => 0010101010101011
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => 1101010101011000 => 0001101010101011
[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => 1101010101100010 => 0100011010101011
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => 1101010101100100 => 0010011010101011
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => 1101010101101000 => 0001011010101011
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => 1101010101110000 => 0000111010101011
[1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0] => 1101010110001010 => 0101000110101011
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => 1101010110010100 => 0010100110101011
[1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0] => 1101010110011000 => 0001100110101011
[1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0] => 1101010110100100 => 0010010110101011
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => 1101010110101000 => 0001010110101011
[1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0] => 1101010110110000 => 0000110110101011
[1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0] => 1101010111000010 => 0100001110101011
[1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0] => 1101010111000100 => 0010001110101011
[1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0] => 1101010111001000 => 0001001110101011
[1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => 1101010111010000 => 0000101110101011
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] => 1101010111100000 => 0000011110101011
[1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => 1101011000101010 => 0101010001101011
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => 1101011001010100 => 0010101001101011
[1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0] => 1101011001110000 => 0000111001101011
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => 1101011010010100 => 0010100101101011
[1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0] => 1101011010011000 => 0001100101101011
[1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0] => 1101011010100100 => 0010010101101011
[1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => 1101011010101000 => 0001010101101011
[1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0] => 1101011011010000 => 0000101101101011
[1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0] => 1101011011100000 => 0000011101101011
[1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0] => 1101011100001010 => 0101000011101011
[1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0] => 1101011100011000 => 0001100011101011
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0] => 1101011100101000 => 0001010011101011
[1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0] => 1101011101001000 => 0001001011101011
[1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => 1101011101010000 => 0000101011101011
[1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0] => 1101011101100000 => 0000011011101011
[1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0] => 1101011110000010 => 0100000111101011
[1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0] => 1101011110001000 => 0001000111101011
[1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0] => 1101011110100000 => 0000010111101011
[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1101011111000000 => 0000001111101011
[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => 1101100010101010 => 0101010100011011
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => 1101100011001100 => 0011001100011011
[1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => 1101100011100100 => 0010011100011011
[1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1101100011110000 => 0000111100011011
[1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0] => 1101100100101010 => 0101010010011011
[1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0] => 1101100100101100 => 0011010010011011
[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => 1101100100110010 => 0100110010011011
[1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0] => 1101100100111000 => 0001110010011011
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => 1101100101010100 => 0010101010011011
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => 1101100110001100 => 0011000110011011
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => 1101100110010010 => 0100100110011011
[1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0] => 1101100110010100 => 0010100110011011
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => 1101100110011000 => 0001100110011011
[1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0] => 1101100111000100 => 0010001110011011
[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0] => 1101100111001000 => 0001001110011011
[1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0] => 1101100111010000 => 0000101110011011
[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1101100111100000 => 0000011110011011
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => 1101101000110100 => 0010110001011011
[1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0] => 1101101001010100 => 0010101001011011
[1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0] => 1101101001110000 => 0000111001011011
[1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0] => 1101101010001010 => 0101000101011011
[1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0] => 1101101010100010 => 0100010101011011
[1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0] => 1101101010100100 => 0010010101011011
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => 1101101010101000 => 0001010101011011
[1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0] => 1101101010110000 => 0000110101011011
[1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0] => 1101101011100000 => 0000011101011011
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => 1101101101000010 => 0100001011011011
[1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0] => 1101101101010000 => 0000101011011011
[1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0] => 1101101110100000 => 0000010111011011
[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0] => 1101101111000000 => 0000001111011011
[1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0] => 1101110000101010 => 0101010000111011
[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0] => 1101110001110000 => 0000111000111011
[1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0] => 1101110010001100 => 0011000100111011
[1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0] => 1101110010101000 => 0001010100111011
[1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0] => 1101110011000100 => 0010001100111011
[1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0] => 1101110011001000 => 0001001100111011
[1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0] => 1101110011100000 => 0000011100111011
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => 1101110100100010 => 0100010010111011
[1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0] => 1101110100101000 => 0001010010111011
[1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0] => 1101110101001000 => 0001001010111011
[1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => 1101110101010000 => 0000101010111011
[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0] => 1101110110001000 => 0001000110111011
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => 1101110110100000 => 0000010110111011
[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0] => 1101110111000000 => 0000001110111011
[1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0] => 1101111000001100 => 0011000001111011
[1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0] => 1101111000010100 => 0010100001111011
[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0] => 1101111000011000 => 0001100001111011
[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0] => 1101111000101000 => 0001010001111011
[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0] => 1101111001100000 => 0000011001111011
[1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0] => 1101111010000100 => 0010000101111011
[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0] => 1101111010001000 => 0001000101111011
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0] => 1101111010010000 => 0000100101111011
[1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0] => 1101111010100000 => 0000010101111011
[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0] => 1101111011000000 => 0000001101111011
[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1101111100000010 => 0100000011111011
[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0] => 1101111100000100 => 0010000011111011
[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0] => 1101111100001000 => 0001000011111011
[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0] => 1101111100010000 => 0000100011111011
[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0] => 1101111100100000 => 0000010011111011
[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => 1101111101000000 => 0000001011111011
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => 1101111110000000 => 0000000111111011
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => 1110001010101010 => 0101010101000111
[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0] => 1110001010101100 => 0011010101000111
[1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0] => 1110001010110100 => 0010110101000111
[1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0] => 1110001010111000 => 0001110101000111
[1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0] => 1110001011101000 => 0001011101000111
[1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0] => 1110001011110000 => 0000111101000111
[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => 1110001100110010 => 0100110011000111
[1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0] => 1110001101100010 => 0100011011000111
[1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0] => 1110001101100100 => 0010011011000111
[1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0] => 1110001101110000 => 0000111011000111
[1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0] => 1110001110101000 => 0001010111000111
[1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0] => 1110001110110000 => 0000110111000111
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => 1110001111000010 => 0100001111000111
[1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0] => 1110001111010000 => 0000101111000111
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => 1110001111100000 => 0000011111000111
[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => 1110010010101010 => 0101010100100111
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => 1110010011001100 => 0011001100100111
[1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => 1110010011011000 => 0001101100100111
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0] => 1110010011110000 => 0000111100100111
[1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0] => 1110010100101010 => 0101010010100111
[1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => 1110010101001010 => 0101001010100111
[1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => 1110010101010010 => 0100101010100111
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => 1110010101010100 => 0010101010100111
[1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0] => 1110011000101010 => 0101010001100111
[1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0] => 1110011000101100 => 0011010001100111
[1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0] => 1110011000110010 => 0100110001100111
[1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0] => 1110011000110100 => 0010110001100111
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => 1110011001001100 => 0011001001100111
[1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0] => 1110011001010100 => 0010101001100111
[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => 1110011001100010 => 0100011001100111
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => 1110011001100100 => 0010011001100111
[1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0] => 1110011001101000 => 0001011001100111
[1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0] => 1110011010011000 => 0001100101100111
[1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0] => 1110011010101000 => 0001010101100111
[1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0] => 1110011011000100 => 0010001101100111
[1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0] => 1110011011001000 => 0001001101100111
[1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0] => 1110011011100000 => 0000011101100111
[1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0] => 1110011110010000 => 0000100111100111
[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0] => 1110011110100000 => 0000010111100111
[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] => 1110011111000000 => 0000001111100111
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => 1110100010101010 => 0101010100010111
[1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0] => 1110100010110100 => 0010110100010111
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => 1110100011001100 => 0011001100010111
[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => 1110100011101000 => 0001011100010111
[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => 1110100011110000 => 0000111100010111
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => 1110100100110100 => 0010110010010111
[1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => 1110100101010010 => 0100101010010111
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => 1110100101010100 => 0010101010010111
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0] => 1110100110100010 => 0100010110010111
[1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0] => 1110100111100000 => 0000011110010111
[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => 1110101000101010 => 0101010001010111
[1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0] => 1110101000101100 => 0011010001010111
[1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0] => 1110101001001010 => 0101001001010111
[1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0] => 1110101001001100 => 0011001001010111
[1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0] => 1110101001010010 => 0100101001010111
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => 1110101001010100 => 0010101001010111
[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => 1110101010001010 => 0101000101010111
[1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => 1110101010001100 => 0011000101010111
[1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0] => 1110101010011000 => 0001100101010111
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => 1110101010100010 => 0100010101010111
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => 1110101010100100 => 0010010101010111
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 1110101010101000 => 0001010101010111
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => 1110101010110000 => 0000110101010111
[1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0] => 1110101011001000 => 0001001101010111
[1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0] => 1110101011010000 => 0000101101010111
[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => 1110101011100000 => 0000011101010111
[1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0] => 1110101100001100 => 0011000011010111
[1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => 1110101100010100 => 0010100011010111
[1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0] => 1110101100101000 => 0001010011010111
[1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0] => 1110101100110000 => 0000110011010111
[1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0] => 1110101101000100 => 0010001011010111
[1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0] => 1110101101001000 => 0001001011010111
[1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0] => 1110101101010000 => 0000101011010111
[1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0] => 1110101101100000 => 0000011011010111
[1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0] => 1110101110001000 => 0001000111010111
[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0] => 1110101110010000 => 0000100111010111
[1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0] => 1110101110100000 => 0000010111010111
[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] => 1110101111000000 => 0000001111010111
[1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0] => 1110110001001100 => 0011001000110111
[1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => 1110110010001100 => 0011000100110111
[1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0] => 1110110010101000 => 0001010100110111
[1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => 1110110010110000 => 0000110100110111
[1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0] => 1110110011000100 => 0010001100110111
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0] => 1110110011001000 => 0001001100110111
[1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0] => 1110110011010000 => 0000101100110111
[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0] => 1110110011100000 => 0000011100110111
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0] => 1110110100010010 => 0100100010110111
[1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0] => 1110110100010100 => 0010100010110111
[1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0] => 1110110100101000 => 0001010010110111
[1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0] => 1110110100110000 => 0000110010110111
[1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0] => 1110110101000100 => 0010001010110111
[1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0] => 1110110101001000 => 0001001010110111
[1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0] => 1110110101010000 => 0000101010110111
[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0] => 1110110101100000 => 0000011010110111
[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0] => 1110110110001000 => 0001000110110111
[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => 1110110110010000 => 0000100110110111
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => 1110110110100000 => 0000010110110111
[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0] => 1110110111000000 => 0000001110110111
[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0] => 1110111000001100 => 0011000001110111
[1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0] => 1110111000010100 => 0010100001110111
[1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0] => 1110111000101000 => 0001010001110111
[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0] => 1110111000110000 => 0000110001110111
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => 1110111001000100 => 0010001001110111
[1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0] => 1110111001001000 => 0001001001110111
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] => 1110111001010000 => 0000101001110111
[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0] => 1110111001100000 => 0000011001110111
[1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0] => 1110111010000100 => 0010000101110111
[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0] => 1110111010001000 => 0001000101110111
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => 1110111010010000 => 0000100101110111
[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => 1110111010100000 => 0000010101110111
[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => 1110111011000000 => 0000001101110111
[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0] => 1110111100000010 => 0100000011110111
[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0] => 1110111100000100 => 0010000011110111
[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0] => 1110111100001000 => 0001000011110111
[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0] => 1110111100010000 => 0000100011110111
[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0] => 1110111100100000 => 0000010011110111
[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0] => 1110111101000000 => 0000001011110111
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => 1110111110000000 => 0000000111110111
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => 1111000010101010 => 0101010100001111
[1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0] => 1111000010101100 => 0011010100001111
[1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0] => 1111000010110010 => 0100110100001111
[1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0] => 1111000010110100 => 0010110100001111
[1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0] => 1111000010111000 => 0001110100001111
[1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0] => 1111000011001010 => 0101001100001111
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => 1111000011001100 => 0011001100001111
[1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0] => 1111000011010010 => 0100101100001111
[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0] => 1111000011010100 => 0010101100001111
[1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0] => 1111000011011000 => 0001101100001111
[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0] => 1111000011100010 => 0100011100001111
[1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0] => 1111000011100100 => 0010011100001111
[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => 1111000011101000 => 0001011100001111
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => 1111000011110000 => 0000111100001111
[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0] => 1111000100101010 => 0101010010001111
[1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0] => 1111000101001010 => 0101001010001111
[1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0] => 1111000101010010 => 0100101010001111
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => 1111000101010100 => 0010101010001111
[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0] => 1111000101110000 => 0000111010001111
[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0] => 1111000111010000 => 0000101110001111
[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0] => 1111000111100000 => 0000011110001111
[1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0] => 1111001000101010 => 0101010001001111
[1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0] => 1111001000111000 => 0001110001001111
[1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0] => 1111001010100100 => 0010010101001111
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => 1111001010101000 => 0001010101001111
[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0] => 1111001010110000 => 0000110101001111
[1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0] => 1111001011001000 => 0001001101001111
[1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0] => 1111001011010000 => 0000101101001111
[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0] => 1111001011100000 => 0000011101001111
[1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0] => 1111001100101000 => 0001010011001111
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => 1111001100110000 => 0000110011001111
[1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0] => 1111001101001000 => 0001001011001111
[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0] => 1111001101010000 => 0000101011001111
[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => 1111001101100000 => 0000011011001111
[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0] => 1111001110001000 => 0001000111001111
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0] => 1111001110010000 => 0000100111001111
[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0] => 1111001110100000 => 0000010111001111
[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => 1111001111000000 => 0000001111001111
[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0] => 1111010000111000 => 0001110000101111
[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0] => 1111010001010100 => 0010101000101111
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 1111010010010010 => 0100100100101111
[1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0] => 1111010010101000 => 0001010100101111
[1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0] => 1111010010110000 => 0000110100101111
[1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0] => 1111010011001000 => 0001001100101111
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => 1111010011010000 => 0000101100101111
[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0] => 1111010011100000 => 0000011100101111
[1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => 1111010100001100 => 0011000010101111
[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0] => 1111010100010100 => 0010100010101111
[1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0] => 1111010100101000 => 0001010010101111
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0] => 1111010100110000 => 0000110010101111
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0] => 1111010101000100 => 0010001010101111
[1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0] => 1111010101001000 => 0001001010101111
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => 1111010101010000 => 0000101010101111
[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0] => 1111010101100000 => 0000011010101111
[1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0] => 1111010110000010 => 0100000110101111
[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => 1111010110001000 => 0001000110101111
[1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0] => 1111010110010000 => 0000100110101111
[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0] => 1111010110100000 => 0000010110101111
[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0] => 1111010111000000 => 0000001110101111
[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => 1111011000001100 => 0011000001101111
[1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0] => 1111011000101000 => 0001010001101111
[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0] => 1111011000110000 => 0000110001101111
[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0] => 1111011001001000 => 0001001001101111
[1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0] => 1111011001010000 => 0000101001101111
[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => 1111011001100000 => 0000011001101111
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => 1111011010000100 => 0010000101101111
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => 1111011010001000 => 0001000101101111
[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0] => 1111011010010000 => 0000100101101111
[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0] => 1111011010100000 => 0000010101101111
[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => 1111011011000000 => 0000001101101111
[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => 1111011100000010 => 0100000011101111
[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0] => 1111011100000100 => 0010000011101111
[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0] => 1111011100001000 => 0001000011101111
[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0] => 1111011100010000 => 0000100011101111
[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0] => 1111011100100000 => 0000010011101111
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0] => 1111011101000000 => 0000001011101111
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] => 1111011110000000 => 0000000111101111
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => 1111100000101010 => 0101010000011111
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0] => 1111100000101100 => 0011010000011111
[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0] => 1111100000110100 => 0010110000011111
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => 1111100000111000 => 0001110000011111
[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0] => 1111100001001010 => 0101001000011111
[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0] => 1111100001010010 => 0100101000011111
[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0] => 1111100001101000 => 0001011000011111
[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0] => 1111100001110000 => 0000111000011111
[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0] => 1111100010001010 => 0101000100011111
[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => 1111100010001100 => 0011000100011111
[1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0] => 1111100010010010 => 0100100100011111
[1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0] => 1111100010010100 => 0010100100011111
[1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0] => 1111100010011000 => 0001100100011111
[1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0] => 1111100010100010 => 0100010100011111
[1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0] => 1111100010100100 => 0010010100011111
[1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0] => 1111100010101000 => 0001010100011111
[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0] => 1111100010110000 => 0000110100011111
[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0] => 1111100011000010 => 0100001100011111
[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0] => 1111100011000100 => 0010001100011111
[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0] => 1111100011001000 => 0001001100011111
[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0] => 1111100011010000 => 0000101100011111
[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => 1111100011100000 => 0000011100011111
[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => 1111100100001100 => 0011000010011111
[1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0] => 1111100100101000 => 0001010010011111
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0] => 1111100100110000 => 0000110010011111
[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0] => 1111100101001000 => 0001001010011111
[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => 1111100101010000 => 0000101010011111
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0] => 1111100101100000 => 0000011010011111
[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => 1111100110000010 => 0100000110011111
[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0] => 1111100110000100 => 0010000110011111
[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0] => 1111100110001000 => 0001000110011111
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0] => 1111100110010000 => 0000100110011111
[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => 1111100110100000 => 0000010110011111
[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] => 1111100111000000 => 0000001110011111
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] => 1111101000001100 => 0011000001011111
[1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0] => 1111101000100100 => 0010010001011111
[1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0] => 1111101000101000 => 0001010001011111
[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0] => 1111101000110000 => 0000110001011111
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => 1111101001000100 => 0010001001011111
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => 1111101001001000 => 0001001001011111
[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0] => 1111101001010000 => 0000101001011111
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0] => 1111101001100000 => 0000011001011111
[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => 1111101010000010 => 0100000101011111
[1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0] => 1111101010000100 => 0010000101011111
[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0] => 1111101010001000 => 0001000101011111
[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0] => 1111101010010000 => 0000100101011111
[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => 1111101010100000 => 0000010101011111
[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0] => 1111101011000000 => 0000001101011111
[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => 1111101100000010 => 0100000011011111
[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0] => 1111101100000100 => 0010000011011111
[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0] => 1111101100001000 => 0001000011011111
[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0] => 1111101100010000 => 0000100011011111
[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0] => 1111101100100000 => 0000010011011111
[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0] => 1111101101000000 => 0000001011011111
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => 1111101110000000 => 0000000111011111
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => 1111110000001010 => 0101000000111111
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => 1111110000001100 => 0011000000111111
[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0] => 1111110000010010 => 0100100000111111
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] => 1111110000010100 => 0010100000111111
[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0] => 1111110000011000 => 0001100000111111
[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0] => 1111110000100010 => 0100010000111111
[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0] => 1111110000100100 => 0010010000111111
[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0] => 1111110000101000 => 0001010000111111
[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => 1111110000110000 => 0000110000111111
[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => 1111110001000010 => 0100001000111111
[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] => 1111110001000100 => 0010001000111111
[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0] => 1111110001001000 => 0001001000111111
[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0] => 1111110001010000 => 0000101000111111
[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] => 1111110001100000 => 0000011000111111
[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => 1111110010000010 => 0100000100111111
[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0] => 1111110010000100 => 0010000100111111
[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0] => 1111110010001000 => 0001000100111111
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0] => 1111110010010000 => 0000100100111111
[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => 1111110010100000 => 0000010100111111
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => 1111110011000000 => 0000001100111111
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 1111110100000010 => 0100000010111111
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] => 1111110100000100 => 0010000010111111
[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0] => 1111110100001000 => 0001000010111111
[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => 1111110100010000 => 0000100010111111
[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0] => 1111110100100000 => 0000010010111111
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => 1111110101000000 => 0000001010111111
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => 1111110110000000 => 0000000110111111
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 1111111000000010 => 0100000001111111
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => 1111111000000100 => 0010000001111111
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => 1111111000001000 => 0001000001111111
[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => 1111111000010000 => 0000100001111111
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => 1111111000100000 => 0000010001111111
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => 1111111001000000 => 0000001001111111
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => 1111111010000000 => 0000000101111111
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 1111111100000000 => 0000000011111111
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 111111110000000010 => 010000000011111111
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 101111111100000000 => 000000001111111101
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => 11111111100000000010 => 01000000000111111111
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0] => 111111101000000010 => 010000000101111111
[1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => 101111111010000000 => 000000010111111101
[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => 10111111111000000000 => 00000000011111111101
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => 1111111111000000000010 => 0100000000001111111111
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0] => 11111111010000000010 => 01000000001011111111
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0] => 111111100100000010 => 010000001001111111
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0] => 111111011000000010 => 010000000110111111
[1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => 101111111001000000 => 000000100111111101
[1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => 101111110110000000 => 000000011011111101
[1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => 10111111110100000000 => 00000000101111111101
[1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => 1011111111110000000000 => 0000000000111111111101
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0] => 11111110110000000010 => 01000000001101111111
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0] => 111110111000000010 => 010000000111011111
[1,0,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => 101111111000100000 => 000001000111111101
[1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => 101111110101000000 => 000000101011111101
[1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => 10111111110010000000 => 00000001001111111101
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0] => 111111001100000010 => 010000001100111111
[1,0,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => 101111111000010000 => 000010000111111101
[1,0,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => 10111111101010000000 => 00000001010111111101
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => 101111111000001000 => 000100000111111101
[1,0,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => 101111110010100000 => 000001010011111101
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0] => 111111100000010010 => 010010000001111111
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 110111111000000010 => 010000000111111011
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0] => 111111100000001100 => 001100000001111111
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => 101111111000000100 => 001000000111111101
[1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => 101111101010100000 => 000001010101111101
[1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 110011111110000000 => 000000011111110011
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0] => 111111100000001010 => 010100000001111111
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 101111111000000010 => 010000000111111101
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0] => 111111010000001100 => 001100000010111111
[1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => 10111111010101000000 => 00000010101011111101
[1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 110011111101000000 => 000000101111110011
[1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 101011111110000000 => 000000011111110101
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0] => 11111111000000001100 => 00110000000011111111
[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0] => 111111001000001100 => 001100000100111111
[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0] => 111110110000001100 => 001100000011011111
[1,1,0,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 110011111100100000 => 000001001111110011
[1,1,0,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 110011111011000000 => 000000110111110011
[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 11001111111100000000 => 00000000111111110011
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0] => 11111111000000001010 => 01010000000011111111
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 10111111110000000010 => 01000000001111111101
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0] => 11111110100000001100 => 00110000000101111111
[1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => 101111100101010000 => 000010101001111101
[1,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => 11001111111010000000 => 00000001011111110011
[1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 10101111111100000000 => 00000000111111110101
[] => =>
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 110101010101010100 => 001010101010101011
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => 110101010101011000 => 000110101010101011
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => 110101010101100100 => 001001101010101011
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => 110101010101101000 => 000101101010101011
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => 110101010101110000 => 000011101010101011
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => 110101010110010100 => 001010011010101011
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0] => 110101010110011000 => 000110011010101011
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0] => 110101010110100100 => 001001011010101011
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => 110101010110101000 => 000101011010101011
[1,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0] => 110101010110110000 => 000011011010101011
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0] => 110101010111000100 => 001000111010101011
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0] => 110101010111001000 => 000100111010101011
[1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => 110101010111010000 => 000010111010101011
[1,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] => 110101010111100000 => 000001111010101011
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => 110101011001010100 => 001010100110101011
[1,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0] => 110101011001110000 => 000011100110101011
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => 110101011010101000 => 000101010110101011
[1,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0] => 110101011100101000 => 000101001110101011
[1,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0] => 110101011101001000 => 000100101110101011
[1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => 110101011101010000 => 000010101110101011
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0] => 110101011110001000 => 000100011110101011
[1,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => 110101011111000000 => 000000111110101011
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => 110101100101010100 => 001010101001101011
[1,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0] => 110101100111100000 => 000001111001101011
[1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0] => 110101101010010100 => 001010010101101011
[1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => 110101101010101000 => 000101010101101011
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0] => 110101110010101000 => 000101010011101011
[1,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0] => 110101110100101000 => 000101001011101011
[1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => 110101110101010000 => 000010101011101011
[1,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0] => 110101111000101000 => 000101000111101011
[1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => 110101111110000000 => 000000011111101011
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => 110110010101010100 => 001010101010011011
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => 110110011001100100 => 001001100110011011
[1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0] => 110110011001110000 => 000011100110011011
[1,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] => 110110011111000000 => 000000111110011011
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => 110110101010100100 => 001001010101011011
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 110110101010101000 => 000101010101011011
[1,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => 110111001010101000 => 000101010100111011
[1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0] => 110111010010101000 => 000101010010111011
[1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => 110111010101010000 => 000010101010111011
[1,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0] => 110111100001110000 => 000011100001111011
[1,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0] => 110111100010101000 => 000101010001111011
[1,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => 110111101110000000 => 000000011101111011
[1,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => 110111110101000000 => 000000101011111011
[1,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => 110111110110000000 => 000000011011111011
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => 110111111000000100 => 001000000111111011
[1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => 110111111000100000 => 000001000111111011
[1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => 110111111001000000 => 000000100111111011
[1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => 110111111010000000 => 000000010111111011
[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 110111111100000000 => 000000001111111011
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 111001010101010100 => 001010101010100111
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => 111001100110011000 => 000110011001100111
[1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => 111001100110110000 => 000011011001100111
[1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => 111001111110000000 => 000000011111100111
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => 111010010101010100 => 001010101010010111
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => 111010101010100100 => 001001010101010111
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 111010101010101000 => 000101010101010111
[1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0] => 111011010101100000 => 000001101010110111
[1,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => 111011100011100000 => 000001110001110111
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => 111011111000001000 => 000100000111110111
[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 111011111100000000 => 000000001111110111
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0] => 111100101010101000 => 000101010101001111
[1,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0] => 111100110101010000 => 000010101011001111
[1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0,0] => 111100111100100000 => 000001001111001111
[1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0] => 111101001010101000 => 000101010100101111
[1,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0] => 111101010010101000 => 000101010010101111
[1,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0] => 111101010100110000 => 000011001010101111
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => 111101010101010000 => 000010101010101111
[1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => 111101010101100000 => 000001101010101111
[1,1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,0] => 111101110001100000 => 000001100011101111
[1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0] => 111101111000010000 => 000010000111101111
[1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0] => 111101111100000000 => 000000001111101111
[1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0] => 111110000111100000 => 000001111000011111
[1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0,0] => 111110001010101000 => 000101010100011111
[1,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0] => 111110010101001000 => 000100101010011111
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0] => 111110010101010000 => 000010101010011111
[1,1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0,0] => 111110011101000000 => 000000101110011111
[1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => 111110101011000000 => 000000110101011111
[1,1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0] => 111110110011000000 => 000000110011011111
[1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0] => 111110110110000000 => 000000011011011111
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0] => 111110111000000100 => 001000000111011111
[1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0] => 111110111000100000 => 000001000111011111
[1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0] => 111110111010000000 => 000000010111011111
[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0] => 111110111100000000 => 000000001111011111
[1,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0] => 111111000011100000 => 000001110000111111
[1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0] => 111111000111000000 => 000000111000111111
[1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0] => 111111001010100000 => 000001010100111111
[1,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0] => 111111001101000000 => 000000101100111111
[1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0] => 111111001110000000 => 000000011100111111
[1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0] => 111111010011000000 => 000000110010111111
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,0] => 111111010100000100 => 001000001010111111
[1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0] => 111111010110000000 => 000000011010111111
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0] => 111111011000000100 => 001000000110111111
[1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0] => 111111011001000000 => 000000100110111111
[1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0] => 111111011010000000 => 000000010110111111
[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0] => 111111011100000000 => 000000001110111111
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,0] => 111111100010000100 => 001000010001111111
[1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0] => 111111100011000000 => 000000110001111111
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0] => 111111100100000100 => 001000001001111111
[1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0] => 111111100100100000 => 000001001001111111
[1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0] => 111111100101000000 => 000000101001111111
[1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0] => 111111100110000000 => 000000011001111111
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0] => 111111101000000100 => 001000000101111111
[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => 111111101010000000 => 000000010101111111
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] => 111111101100000000 => 000000001101111111
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => 111111110000000100 => 001000000011111111
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0] => 111111110000001000 => 000100000011111111
[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0] => 111111110000010000 => 000010000011111111
[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0] => 111111110000100000 => 000001000011111111
[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0] => 111111110001000000 => 000000100011111111
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => 111111110010000000 => 000000010011111111
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => 111111110100000000 => 000000001011111111
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => 111111111000000000 => 000000000111111111
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 101010101010101010 => 010101010101010101
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 101010101010101100 => 001101010101010101
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 101010101010110100 => 001011010101010101
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 101010101011010100 => 001010110101010101
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 101010101101010100 => 001010101101010101
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 101010110101010100 => 001010101011010101
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 101011010101010100 => 001010101010110101
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 101101010101010100 => 001010101010101101
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 10101010101010101010 => 01010101010101010101
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 10101010101010101100 => 00110101010101010101
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 101010101010111000 => 000111010101010101
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 10101010101010110100 => 00101101010101010101
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 101010101011100100 => 001001110101010101
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 10101010101011010100 => 00101011010101010101
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 101010101110010100 => 001010011101010101
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 10101010101101010100 => 00101010110101010101
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 101010111001010100 => 001010100111010101
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 10101010110101010100 => 00101010101101010101
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 101011100101010100 => 001010101001110101
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 10101011010101010100 => 00101010101011010101
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => 101110010101010100 => 001010101010011101
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 10101101010101010100 => 00101010101010110101
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 10110101010101010100 => 00101010101010101101
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 11010101010101010100 => 00101010101010101011
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 1010101010101010101100 => 0011010101010101010101
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 1010101010101010110100 => 0010110101010101010101
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 101011101001010100 => 001010100101110101
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 101010111100010100 => 001010001111010101
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 11100101010101010100 => 00101010101010100111
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 1101010101010101010100 => 0010101010101010101011
[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 101011101010010100 => 001010010101110101
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => 101110101001010100 => 001010100101011101
[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 101011101100010100 => 001010001101110101
[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 101010111101000100 => 001000101111010101
[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => 101110101100010100 => 001010001101011101
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 101011111000010100 => 001010000111110101
[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 101011101101000100 => 001000101101110101
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => 101110101010100100 => 001001010101011101
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => 11101010100101010100 => 00101010100101010111
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0] => 101110111000010100 => 001010000111011101
[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0] => 101110101101000100 => 001000101101011101
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 101011111001000100 => 001000100111110101
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 101110101010101000 => 000101010101011101
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => 101110111001000100 => 001000100111011101
[1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => 101111010101010000 => 000010101010111101
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 10111010101010101000 => 00010101010101011101
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => 11101010101010100100 => 00100101010101010111
[1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => 10111101010101010000 => 00001010101010111101
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 101010101010110010 => 010011010101010101
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 101010101011001010 => 010100110101010101
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 101010101011001100 => 001100110101010101
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 101010101011100010 => 010001110101010101
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 101010101100101010 => 010101001101010101
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 101010101110001010 => 010100011101010101
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 101010101110001100 => 001100011101010101
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 101010110010101010 => 010101010011010101
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 101010110011001100 => 001100110011010101
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 101010111000101010 => 010101000111010101
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 101011001010101010 => 010101010100110101
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 101011100010101010 => 010101010001110101
[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 101011100011001100 => 001100110001110101
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 101100101010101010 => 010101010101001101
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 101100101010101100 => 001101010101001101
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 101100110010101010 => 010101010011001101
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 101100110011001010 => 010100110011001101
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 101100110011001100 => 001100110011001101
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 101100110011100010 => 010001110011001101
[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 101100111000101010 => 010101000111001101
[1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 101100111111000000 => 000000111111001101
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => 101110001010101010 => 010101010100011101
[1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => 101111000011110000 => 000011110000111101
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => 101111110000001100 => 001100000011111101
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 110010101010101010 => 010101010101010011
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 110010101010101100 => 001101010101010011
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 110010101010110010 => 010011010101010011
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 110011001010101010 => 010101010100110011
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 110011001100101010 => 010101001100110011
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 110011001100110010 => 010011001100110011
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 110011001100111000 => 000111001100110011
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 110011001110001010 => 010100011100110011
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 110011100010101010 => 010101010001110011
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 110011111100000010 => 010000001111110011
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 111000101010101010 => 010101010101000111
[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 111000110011001100 => 001100110011000111
[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 111000111111000000 => 000000111111000111
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => 111100001010101010 => 010101010100001111
[1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => 111100001111100000 => 000001111100001111
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0] => 111110000010101010 => 010101010000011111
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => 111110000011110000 => 000011110000011111
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0] => 111111000000101010 => 010101000000111111
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0] => 111111000000111000 => 000111000000111111
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 10101010101010110010 => 01001101010101010101
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 10101010101011001010 => 01010011010101010101
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 10101010101011001100 => 00110011010101010101
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 10101010101100101010 => 01010100110101010101
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 10101010110010101010 => 01010101001101010101
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 10101010110011001100 => 00110011001101010101
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 10101011001010101010 => 01010101010011010101
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 10101100101010101010 => 01010101010100110101
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 10101100110011001100 => 00110011001100110101
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 10110010101010101010 => 01010101010101001101
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 10110011001010101010 => 01010101010011001101
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 10110011001100101010 => 01010100110011001101
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 10110011001100110010 => 01001100110011001101
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 11001010101010101010 => 01010101010101010011
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 11001010101010101100 => 00110101010101010011
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 11001100101010101010 => 01010101010100110011
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 11001100110010101010 => 01010101001100110011
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 11001100110011001010 => 01010011001100110011
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 11001100110011001100 => 00110011001100110011
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 11100010101010101010 => 01010101010101000111
[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 11100011001100110010 => 01001100110011000111
[1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 11100011111110000000 => 00000001111111000111
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 11110000101010101010 => 01010101010100001111
[1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 11110000111111000000 => 00000011111100001111
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => 11111000001010101010 => 01010101010000011111
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => 11111000001111100000 => 00000111110000011111
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0] => 11111100000010101010 => 01010101000000111111
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0] => 11111100000011110000 => 00001111000000111111
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0] => 11111110000000101010 => 01010100000001111111
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0] => 11111110000000111000 => 00011100000001111111
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => 11111111110000000000 => 00000000001111111111
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 110100101010101010 => 010101010101001011
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => 110101001010101010 => 010101010100101011
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => 110101010010101010 => 010101010010101011
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => 110101010100101010 => 010101001010101011
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => 110101010101001010 => 010100101010101011
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => 110101010101010010 => 010010101010101011
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 11010010101010101010 => 01010101010101001011
[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => 110110001010101010 => 010101010100011011
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 11010100101010101010 => 01010101010100101011
[1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => 110101100010101010 => 010101010001101011
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => 11010101001010101010 => 01010101010010101011
[1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => 110101011000101010 => 010101000110101011
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => 11010101010010101010 => 01010101001010101011
[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0] => 110101010110001010 => 010100011010101011
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => 11010101010100101010 => 01010100101010101011
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => 110101010101100010 => 010001101010101011
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => 11010101010101001010 => 01010010101010101011
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => 11010101010101010010 => 01001010101010101011
[1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => 11111010101011000000 => 00000011010101011111
[1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0] => 11111100101010100000 => 00000101010100111111
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => 1111101010101011000000 => 0000001101010101011111
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => 11110101010101100000 => 00000110101010101111
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => 11111001010101010000 => 00001010101010011111
[1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => 1111110010101010100000 => 0000010101010100111111
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1100101010101010101010 => 0101010101010101010011
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 110010101010110100 => 001011010101010011
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => 11010101010101011000 => 00011010101010101011
[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0] => 11111111011000000000 => 00000000011011111111
[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0] => 11111111100100000000 => 00000000100111111111
[1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0] => 1111111110110000000000 => 0000000000110111111111
[1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0] => 11111110101100000000 => 00000000110101111111
[1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0] => 11111111001010000000 => 00000001010011111111
[1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0] => 1111111111001000000000 => 0000000001001111111111
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 11001010101010110100 => 00101101010101010011
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => 110100101010110100 => 001011010101001011
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => 101100101010110100 => 001011010101001101
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 110100101010101100 => 001101010101001011
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => 111010101010100010 => 010001010101010111
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => 111010101010001010 => 010100010101010111
[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => 111010101000101010 => 010101000101010111
[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => 111010100010101010 => 010101010001010111
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => 111010001010101010 => 010101010100010111
[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => 11011111111000000000 => 00000000011111111011
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0] => 11111111100000000100 => 00100000000111111111
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0] => 1111111111000000000100 => 0010000000001111111111
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0] => 11111111010000000100 => 00100000001011111111
[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0] => 111111000001001010 => 010100100000111111
[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,1,0] => 111110000100101010 => 010101001000011111
[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0] => 111100010010101010 => 010101010010001111
[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => 111001001010101010 => 010101010100100111
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => 11111111101000000000 => 00000000010111111111
[1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0] => 11111110111000000000 => 00000000011101111111
[1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0] => 11111101111000000000 => 00000000011110111111
[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => 11111011111000000000 => 00000000011111011111
[1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => 11110111111000000000 => 00000000011111101111
[1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => 11101111111000000000 => 00000000011111110111
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => 111010101010001100 => 001100010101010111
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 110011101010101000 => 000101010101110011
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => 110110101010100010 => 010001010101011011
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 11011010101010101000 => 00010101010101011011
[1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0] => 1111111111010000000000 => 0000000000101111111111
[1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 110100111111000000 => 000000111111001011
[1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => 111010001111100000 => 000001111100010111
[1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0] => 111101000011110000 => 000011110000101111
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0] => 111110100000111000 => 000111000001011111
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => 101101010010101010 => 010101010010101101
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 101011010010101010 => 010101010010110101
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 10101010101101001010 => 01010010110101010101
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 10101010101101010010 => 01001010110101010101
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0] => 110101010010101100 => 001101010010101011
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 110011010010101010 => 010101010010110011
[1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => 11011010100101010100 => 00101010100101011011
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => 11010110100101010100 => 00101010100101101011
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => 11010101100101010100 => 00101010100110101011
[1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => 10111110101010100000 => 00000101010101111101
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => 101111001010101000 => 000101010100111101
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => 111001010101010010 => 010010101010100111
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => 101101010101011000 => 000110101010101101
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => 110101010101001100 => 001100101010101011
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 110011010101010100 => 001010101010110011
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => 110101010100111000 => 000111001010101011
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => 11010101010101110000 => 00001110101010101011
[1,1,0,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => 110101010011110000 => 000011110010101011
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => 11010101010111010000 => 00001011101010101011
[1,1,0,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0] => 110101001111010000 => 000010111100101011
[1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => 11010101011101010000 => 00001010111010101011
[1,1,0,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => 110100111101010000 => 000010101111001011
[1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => 11010101110101010000 => 00001010101110101011
[1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 110011110101010000 => 000010101011110011
[1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => 11010111010101010000 => 00001010101011101011
[1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => 11011101010101010000 => 00001010101010111011
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => 11110101010101010000 => 00001010101010101111
[1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 110011011111000000 => 000000111110110011
[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => 111011110000001100 => 001100000011110111
[1,1,1,0,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => 111000111011100000 => 000001110111000111
[1,1,1,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0] => 111101100000111000 => 000111000001101111
[1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0] => 111100001111010000 => 000010111100001111
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0] => 111111000000110100 => 001011000000111111
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0] => 11111111100000001000 => 00010000000111111111
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0] => 111110000011101000 => 000101110000011111
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0] => 11111111100000010000 => 00001000000111111111
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0] => 11111111100000100000 => 00000100000111111111
[1,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => 111000111110100000 => 000001011111000111
[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0] => 11111111100001000000 => 00000010000111111111
[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0] => 11111111100010000000 => 00000001000111111111
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 101011001011010100 => 001010110100110101
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 110011111100001000 => 000100001111110011
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => 11010101011010101000 => 00010101011010101011
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0] => 1111111110100000000100 => 0010000000010111111111
[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0] => 11111110101000000100 => 00100000010101111111
[1,1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => 11011111101010000000 => 00000001010111111011
[1,1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => 1101111111101000000000 => 0000000001011111111011
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0] => 110101010100110010 => 010011001010101011
[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0] => 110101010011001010 => 010100110010101011
[1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => 110101001100101010 => 010101001100101011
[1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 110100110010101010 => 010101010011001011
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => 110110001100110010 => 010011001100011011
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0] => 110110011000110010 => 010011000110011011
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => 110110011001100010 => 010001100110011011
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => 110110011001001100 => 001100100110011011
[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => 110110010011001100 => 001100110010011011
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 110100110011001100 => 001100110011001011
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 11011000110011001100 => 00110011001100011011
[1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => 110111001000110010 => 010011000100111011
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11011001100011001100 => 00110011000110011011
[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0] => 110110011100100010 => 010001001110011011
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => 11011001100110001100 => 00110001100110011011
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => 11011001100110011000 => 00011001100110011011
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0] => 110110011001001010 => 010100100110011011
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => 11011001100110010010 => 01001001100110011011
[1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => 110110010011100100 => 001001110010011011
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => 11011001100100110010 => 01001100100110011011
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 110100111001001100 => 001100100111001011
[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => 11011001001100110010 => 01001100110010011011
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => 101110010011001100 => 001100110010011101
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 11010011001100110010 => 01001100110011001011
[1,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 11010111111100000000 => 00000000111111101011
[1,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => 11010101111110000000 => 00000001111110101011
[1,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => 11010101011111000000 => 00000011111010101011
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] => 11010101010111100000 => 00000111101010101011
[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => 110101001011010100 => 001010110100101011
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => 11010101010101101000 => 00010110101010101011
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => 11010101010110101000 => 00010101101010101011
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => 11010101101010101000 => 00010101010110101011
[1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 11010110101010101000 => 00010101010101101011
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 11101010101010101000 => 00010101010101010111
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => 1101010101010101011000 => 0001101010101010101011
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => 1101010101010101101000 => 0001011010101010101011
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0] => 11010101010111001000 => 00010011101010101011
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => 1101010101010110101000 => 0001010110101010101011
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0] => 11010101011100101000 => 00010100111010101011
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => 1101010101011010101000 => 0001010101101010101011
[1,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0] => 11010101110010101000 => 00010101001110101011
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => 1101010101101010101000 => 0001010101011010101011
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => 11010111001010101000 => 00010101010011101011
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 1101010110101010101000 => 0001010101010110101011
[1,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0] => 11011100101010101000 => 00010101010100111011
[1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 1101011010101010101000 => 0001010101010101101011
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 11110010101010101000 => 00010101010101001111
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 1101101010101010101000 => 0001010101010101011011
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 1110101010101010101000 => 0001010101010101010111
[1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0] => 11111111001100000000 => 00000000110011111111
[1,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0] => 11111111000110000000 => 00000001100011111111
[1,1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0] => 11111110001110000000 => 00000001110001111111
[1,1,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0] => 11111110000111000000 => 00000011100001111111
[1,1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0] => 11111100001111000000 => 00000011110000111111
[1,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0] => 11111100000111100000 => 00000111100000111111
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => 10110110110110100000 => 00000101101101101101
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => 10110110111010010000 => 00001001011101101101
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => 10110111010011010000 => 00001011001011101101
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => 10110111011010001000 => 00010001011011101101
[1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => 10110111101001001000 => 00010010010111101101
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => 10111010011011010000 => 00001011011001011101
[1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => 10111010011101001000 => 00010010111001011101
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => 10111011010001101000 => 00010110001011011101
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => 10111101001001101000 => 00010110010010111101
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => 10111011011010000100 => 00100001011011011101
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => 10111011101001000100 => 00100010010111011101
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => 10111101001101000100 => 00100010110010111101
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => 10111101101000100100 => 00100100010110111101
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => 10111110100100100100 => 00100100100101111101
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 11010011011011010000 => 00001011011011001011
[1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 11010011011101001000 => 00010010111011001011
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 11010011101001101000 => 00010110010111001011
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 11010011101101000100 => 00100010110111001011
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 11010011110100100100 => 00100100101111001011
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => 11011010001101101000 => 00010110110001011011
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => 11011010001110100100 => 00100101110001011011
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => 11101001001101101000 => 00010110110010010111
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 11101001001110100100 => 00100101110010010111
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => 11011011010000110100 => 00101100001011011011
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => 11011101001000110100 => 00101100010010111011
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => 11101001101000110100 => 00101100010110010111
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => 11101101000100110100 => 00101100100010110111
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => 11110100100100110100 => 00101100100100101111
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => 11011011011010000010 => 01000001011011011011
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => 11011011101001000010 => 01000010010111011011
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => 11011101001101000010 => 01000010110010111011
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0] => 11011101101000100010 => 01000100010110111011
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0] => 11011110100100100010 => 01000100100101111011
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => 11101001101101000010 => 01000010110110010111
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => 11101001110100100010 => 01000100101110010111
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0] => 11101101000110100010 => 01000101100010110111
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0] => 11110100100110100010 => 01000101100100101111
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0] => 11101101101000010010 => 01001000010110110111
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0] => 11101110100100010010 => 01001000100101110111
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0] => 11110100110100010010 => 01001000101100101111
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0] => 11110110100010010010 => 01001001000101101111
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 11111010010010010010 => 01001001001001011111
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0] => 101101101101101101000000 => 000000101101101101101101
[1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0] => 101101101101110100100000 => 000001001011101101101101
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0] => 101101101110100110100000 => 000001011001011101101101
[1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0] => 101101101110110100010000 => 000010001011011101101101
[1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0] => 101101101111010010010000 => 000010010010111101101101
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0] => 101101110100110110100000 => 000001011011001011101101
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0] => 101101110100111010010000 => 000010010111001011101101
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0] => 101101110110100011010000 => 000010110001011011101101
[1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0] => 101101111010010011010000 => 000010110010010111101101
[1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0] => 101101110110110100001000 => 000100001011011011101101
[1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0] => 101101110111010010001000 => 000100010010111011101101
[1,0,1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0] => 101101111010011010001000 => 000100010110010111101101
[1,0,1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0] => 101101111011010001001000 => 000100100010110111101101
[1,0,1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0] => 101101111101001001001000 => 000100100100101111101101
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => 101110100110110110100000 => 000001011011011001011101
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => 101110100110111010010000 => 000010010111011001011101
[1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => 101110100111010011010000 => 000010110010111001011101
[1,0,1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => 101110100111011010001000 => 000100010110111001011101
[1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => 101110100111101001001000 => 000100100101111001011101
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0] => 101110110100011011010000 => 000010110110001011011101
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0] => 101110110100011101001000 => 000100101110001011011101
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => 101111010010011011010000 => 000010110110010010111101
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => 101111010010011101001000 => 000100101110010010111101
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0] => 101110110110100001101000 => 000101100001011011011101
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0] => 101110111010010001101000 => 000101100010010111011101
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => 101111010011010001101000 => 000101100010110010111101
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0] => 101111011010001001101000 => 000101100100010110111101
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => 101111101001001001101000 => 000101100100100101111101
[1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0] => 101110110110110100000100 => 001000001011011011011101
[1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0] => 101110110111010010000100 => 001000010010111011011101
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0] => 101110111010011010000100 => 001000010110010111011101
[1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0] => 101110111011010001000100 => 001000100010110111011101
[1,0,1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0] => 101110111101001001000100 => 001000100100101111011101
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => 101111010011011010000100 => 001000010110110010111101
[1,0,1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => 101111010011101001000100 => 001000100101110010111101
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0] => 101111011010001101000100 => 001000101100010110111101
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => 101111101001001101000100 => 001000101100100101111101
[1,0,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0] => 101111011011010000100100 => 001001000010110110111101
[1,0,1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0] => 101111011101001000100100 => 001001000100101110111101
[1,0,1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => 101111101001101000100100 => 001001000101100101111101
[1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0] => 101111101101000100100100 => 001001001000101101111101
[1,0,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => 101111110100100100100100 => 001001001001001011111101
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => 110100110110110110100000 => 000001011011011011001011
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => 110100110110111010010000 => 000010010111011011001011
[1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => 110100110111010011010000 => 000010110010111011001011
[1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => 110100110111011010001000 => 000100010110111011001011
[1,1,0,1,0,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => 110100110111101001001000 => 000100100101111011001011
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => 110100111010011011010000 => 000010110110010111001011
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => 110100111010011101001000 => 000100101110010111001011
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => 110100111011010001101000 => 000101100010110111001011
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => 110100111101001001101000 => 000101100100101111001011
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => 110100111011011010000100 => 001000010110110111001011
[1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => 110100111011101001000100 => 001000100101110111001011
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => 110100111101001101000100 => 001000101100101111001011
[1,1,0,1,0,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => 110100111101101000100100 => 001001000101101111001011
[1,1,0,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => 110100111110100100100100 => 001001001001011111001011
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 110110100011011011010000 => 000010110110110001011011
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 110110100011011101001000 => 000100101110110001011011
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 110110100011101001101000 => 000101100101110001011011
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 110110100011101101000100 => 001000101101110001011011
[1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 110110100011110100100100 => 001001001011110001011011
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 111010010011011011010000 => 000010110110110010010111
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 111010010011011101001000 => 000100101110110010010111
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 111010010011101001101000 => 000101100101110010010111
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 111010010011101101000100 => 001000101101110010010111
[1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 111010010011110100100100 => 001001001011110010010111
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0] => 110110110100001101101000 => 000101101100001011011011
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0] => 110110110100001110100100 => 001001011100001011011011
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => 110111010010001101101000 => 000101101100010010111011
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => 110111010010001110100100 => 001001011100010010111011
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => 111010011010001101101000 => 000101101100010110010111
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => 111010011010001110100100 => 001001011100010110010111
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => 111011010001001101101000 => 000101101100100010110111
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 111011010001001110100100 => 001001011100100010110111
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => 111101001001001101101000 => 000101101100100100101111
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 111101001001001110100100 => 001001011100100100101111
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0] => 110110110110100000110100 => 001011000001011011011011
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0] => 110110111010010000110100 => 001011000010010111011011
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => 110111010011010000110100 => 001011000010110010111011
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0] => 110111011010001000110100 => 001011000100010110111011
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => 110111101001001000110100 => 001011000100100101111011
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => 111010011011010000110100 => 001011000010110110010111
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => 111010011101001000110100 => 001011000100101110010111
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => 111011010001101000110100 => 001011000101100010110111
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => 111101001001101000110100 => 001011000101100100101111
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0] => 111011011010000100110100 => 001011001000010110110111
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => 111011101001000100110100 => 001011001000100101110111
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => 111101001101000100110100 => 001011001000101100101111
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => 111101101000100100110100 => 001011001001000101101111
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => 111110100100100100110100 => 001011001001001001011111
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0] => 110110110110110100000010 => 010000001011011011011011
[1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0] => 110110110111010010000010 => 010000010010111011011011
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0] => 110110111010011010000010 => 010000010110010111011011
[1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0] => 110110111011010001000010 => 010000100010110111011011
[1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0] => 110110111101001001000010 => 010000100100101111011011
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => 110111010011011010000010 => 010000010110110010111011
[1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => 110111010011101001000010 => 010000100101110010111011
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0] => 110111011010001101000010 => 010000101100010110111011
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => 110111101001001101000010 => 010000101100100101111011
[1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0] => 110111011011010000100010 => 010001000010110110111011
[1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0] => 110111011101001000100010 => 010001000100101110111011
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0] => 110111101001101000100010 => 010001000101100101111011
[1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0] => 110111101101000100100010 => 010001001000101101111011
[1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0] => 110111110100100100100010 => 010001001001001011111011
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => 111010011011011010000010 => 010000010110110110010111
[1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => 111010011011101001000010 => 010000100101110110010111
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => 111010011101001101000010 => 010000101100101110010111
[1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0] => 111010011101101000100010 => 010001000101101110010111
[1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0] => 111010011110100100100010 => 010001001001011110010111
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => 111011010001101101000010 => 010000101101100010110111
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => 111011010001110100100010 => 010001001011100010110111
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => 111101001001101101000010 => 010000101101100100101111
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => 111101001001110100100010 => 010001001011100100101111
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0] => 111011011010000110100010 => 010001011000010110110111
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0] => 111011101001000110100010 => 010001011000100101110111
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0] => 111101001101000110100010 => 010001011000101100101111
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0] => 111101101000100110100010 => 010001011001000101101111
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0] => 111110100100100110100010 => 010001011001001001011111
[1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0] => 111011011011010000010010 => 010010000010110110110111
[1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0] => 111011011101001000010010 => 010010000100101110110111
[1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0] => 111011101001101000010010 => 010010000101100101110111
[1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0] => 111011101101000100010010 => 010010001000101101110111
[1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0] => 111011110100100100010010 => 010010001001001011110111
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0] => 111101001101101000010010 => 010010000101101100101111
[1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0] => 111101001110100100010010 => 010010001001011100101111
[1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0] => 111101101000110100010010 => 010010001011000101101111
[1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0] => 111110100100110100010010 => 010010001011001001011111
[1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0] => 111101101101000010010010 => 010010010000101101101111
[1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0] => 111101110100100010010010 => 010010010001001011101111
[1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0] => 111110100110100010010010 => 010010010001011001011111
[1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0] => 111110110100010010010010 => 010010010010001011011111
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 111111010010010010010010 => 010010010010010010111111
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0] => 1111111111100000000000 => 0000000000011111111111
[1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => 1100111111111000000000 => 0000000001111111110011
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => 11101010101010100010 => 01000101010101010111
[1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0] => 11111110110100000000 => 00000000101101111111
[1,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => 11011111110100000000 => 00000000101111111011
[1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => 1101111111110000000000 => 0000000000111111111011
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0] => 111111111110000000000100 => 001000000000011111111111
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0] => 11111111001000000100 => 00100000010011111111
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0] => 11111110110000000100 => 00100000001101111111
[1,1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => 11011111110010000000 => 00000001001111111011
[1,1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] => 11011111101100000000 => 00000000110111111011
[1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0] => 110111111111100000000000 => 000000000001111111111011
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0] => 1111111110000000001100 => 0011000000000111111111
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => 111001001100110010 => 010011001100100111
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => 111001100100110010 => 010011001001100111
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => 111001100110010010 => 010010011001100111
[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => 111001100110001100 => 001100011001100111
[1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => 111001100011001100 => 001100110001100111
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 11100100110011001100 => 00110011001100100111
[1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,0] => 111011000100110010 => 010011001000110111
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => 11100110010011001100 => 00110011001001100111
[1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,0] => 111001101100010010 => 010010001101100111
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => 11100110011001001100 => 00110010011001100111
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => 11100110011001100100 => 00100110011001100111
[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,1,0] => 111001100110001010 => 010100011001100111
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => 11100110011001100010 => 01000110011001100111
[1,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => 111001100011011000 => 000110110001100111
[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0] => 11100110011000110010 => 01001100011001100111
[1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => 111000110110001100 => 001100011011000111
[1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => 11100110001100110010 => 01001100110001100111
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => 101101100011001100 => 001100110001101101
Map
to binary word
Description
Return the Dyck word as binary word.
Map
reverse
Description
Return the reversal of a binary word.