edit this map or download as text // json
Identifier
Mp00093: Dyck paths to binary wordBinary words
Images
=>
Cc0005;cc-rep-0
[]=> [1,0]=>10 [1,0,1,0]=>1010 [1,1,0,0]=>1100 [1,0,1,0,1,0]=>101010 [1,0,1,1,0,0]=>101100 [1,1,0,0,1,0]=>110010 [1,1,0,1,0,0]=>110100 [1,1,1,0,0,0]=>111000 [1,0,1,0,1,0,1,0]=>10101010 [1,0,1,0,1,1,0,0]=>10101100 [1,0,1,1,0,0,1,0]=>10110010 [1,0,1,1,0,1,0,0]=>10110100 [1,0,1,1,1,0,0,0]=>10111000 [1,1,0,0,1,0,1,0]=>11001010 [1,1,0,0,1,1,0,0]=>11001100 [1,1,0,1,0,0,1,0]=>11010010 [1,1,0,1,0,1,0,0]=>11010100 [1,1,0,1,1,0,0,0]=>11011000 [1,1,1,0,0,0,1,0]=>11100010 [1,1,1,0,0,1,0,0]=>11100100 [1,1,1,0,1,0,0,0]=>11101000 [1,1,1,1,0,0,0,0]=>11110000 [1,0,1,0,1,0,1,0,1,0]=>1010101010 [1,0,1,0,1,0,1,1,0,0]=>1010101100 [1,0,1,0,1,1,0,0,1,0]=>1010110010 [1,0,1,0,1,1,0,1,0,0]=>1010110100 [1,0,1,0,1,1,1,0,0,0]=>1010111000 [1,0,1,1,0,0,1,0,1,0]=>1011001010 [1,0,1,1,0,0,1,1,0,0]=>1011001100 [1,0,1,1,0,1,0,0,1,0]=>1011010010 [1,0,1,1,0,1,0,1,0,0]=>1011010100 [1,0,1,1,0,1,1,0,0,0]=>1011011000 [1,0,1,1,1,0,0,0,1,0]=>1011100010 [1,0,1,1,1,0,0,1,0,0]=>1011100100 [1,0,1,1,1,0,1,0,0,0]=>1011101000 [1,0,1,1,1,1,0,0,0,0]=>1011110000 [1,1,0,0,1,0,1,0,1,0]=>1100101010 [1,1,0,0,1,0,1,1,0,0]=>1100101100 [1,1,0,0,1,1,0,0,1,0]=>1100110010 [1,1,0,0,1,1,0,1,0,0]=>1100110100 [1,1,0,0,1,1,1,0,0,0]=>1100111000 [1,1,0,1,0,0,1,0,1,0]=>1101001010 [1,1,0,1,0,0,1,1,0,0]=>1101001100 [1,1,0,1,0,1,0,0,1,0]=>1101010010 [1,1,0,1,0,1,0,1,0,0]=>1101010100 [1,1,0,1,0,1,1,0,0,0]=>1101011000 [1,1,0,1,1,0,0,0,1,0]=>1101100010 [1,1,0,1,1,0,0,1,0,0]=>1101100100 [1,1,0,1,1,0,1,0,0,0]=>1101101000 [1,1,0,1,1,1,0,0,0,0]=>1101110000 [1,1,1,0,0,0,1,0,1,0]=>1110001010 [1,1,1,0,0,0,1,1,0,0]=>1110001100 [1,1,1,0,0,1,0,0,1,0]=>1110010010 [1,1,1,0,0,1,0,1,0,0]=>1110010100 [1,1,1,0,0,1,1,0,0,0]=>1110011000 [1,1,1,0,1,0,0,0,1,0]=>1110100010 [1,1,1,0,1,0,0,1,0,0]=>1110100100 [1,1,1,0,1,0,1,0,0,0]=>1110101000 [1,1,1,0,1,1,0,0,0,0]=>1110110000 [1,1,1,1,0,0,0,0,1,0]=>1111000010 [1,1,1,1,0,0,0,1,0,0]=>1111000100 [1,1,1,1,0,0,1,0,0,0]=>1111001000 [1,1,1,1,0,1,0,0,0,0]=>1111010000 [1,1,1,1,1,0,0,0,0,0]=>1111100000 [1,0,1,0,1,0,1,0,1,0,1,0]=>101010101010 [1,0,1,0,1,0,1,0,1,1,0,0]=>101010101100 [1,0,1,0,1,0,1,1,0,0,1,0]=>101010110010 [1,0,1,0,1,0,1,1,0,1,0,0]=>101010110100 [1,0,1,0,1,0,1,1,1,0,0,0]=>101010111000 [1,0,1,0,1,1,0,0,1,0,1,0]=>101011001010 [1,0,1,0,1,1,0,0,1,1,0,0]=>101011001100 [1,0,1,0,1,1,0,1,0,0,1,0]=>101011010010 [1,0,1,0,1,1,0,1,0,1,0,0]=>101011010100 [1,0,1,0,1,1,0,1,1,0,0,0]=>101011011000 [1,0,1,0,1,1,1,0,0,0,1,0]=>101011100010 [1,0,1,0,1,1,1,0,0,1,0,0]=>101011100100 [1,0,1,0,1,1,1,0,1,0,0,0]=>101011101000 [1,0,1,0,1,1,1,1,0,0,0,0]=>101011110000 [1,0,1,1,0,0,1,0,1,0,1,0]=>101100101010 [1,0,1,1,0,0,1,0,1,1,0,0]=>101100101100 [1,0,1,1,0,0,1,1,0,0,1,0]=>101100110010 [1,0,1,1,0,0,1,1,0,1,0,0]=>101100110100 [1,0,1,1,0,0,1,1,1,0,0,0]=>101100111000 [1,0,1,1,0,1,0,0,1,0,1,0]=>101101001010 [1,0,1,1,0,1,0,0,1,1,0,0]=>101101001100 [1,0,1,1,0,1,0,1,0,0,1,0]=>101101010010 [1,0,1,1,0,1,0,1,0,1,0,0]=>101101010100 [1,0,1,1,0,1,0,1,1,0,0,0]=>101101011000 [1,0,1,1,0,1,1,0,0,0,1,0]=>101101100010 [1,0,1,1,0,1,1,0,0,1,0,0]=>101101100100 [1,0,1,1,0,1,1,0,1,0,0,0]=>101101101000 [1,0,1,1,0,1,1,1,0,0,0,0]=>101101110000 [1,0,1,1,1,0,0,0,1,0,1,0]=>101110001010 [1,0,1,1,1,0,0,0,1,1,0,0]=>101110001100 [1,0,1,1,1,0,0,1,0,0,1,0]=>101110010010 [1,0,1,1,1,0,0,1,0,1,0,0]=>101110010100 [1,0,1,1,1,0,0,1,1,0,0,0]=>101110011000 [1,0,1,1,1,0,1,0,0,0,1,0]=>101110100010 [1,0,1,1,1,0,1,0,0,1,0,0]=>101110100100 [1,0,1,1,1,0,1,0,1,0,0,0]=>101110101000 [1,0,1,1,1,0,1,1,0,0,0,0]=>101110110000 [1,0,1,1,1,1,0,0,0,0,1,0]=>101111000010 [1,0,1,1,1,1,0,0,0,1,0,0]=>101111000100 [1,0,1,1,1,1,0,0,1,0,0,0]=>101111001000 [1,0,1,1,1,1,0,1,0,0,0,0]=>101111010000 [1,0,1,1,1,1,1,0,0,0,0,0]=>101111100000 [1,1,0,0,1,0,1,0,1,0,1,0]=>110010101010 [1,1,0,0,1,0,1,0,1,1,0,0]=>110010101100 [1,1,0,0,1,0,1,1,0,0,1,0]=>110010110010 [1,1,0,0,1,0,1,1,0,1,0,0]=>110010110100 [1,1,0,0,1,0,1,1,1,0,0,0]=>110010111000 [1,1,0,0,1,1,0,0,1,0,1,0]=>110011001010 [1,1,0,0,1,1,0,0,1,1,0,0]=>110011001100 [1,1,0,0,1,1,0,1,0,0,1,0]=>110011010010 [1,1,0,0,1,1,0,1,0,1,0,0]=>110011010100 [1,1,0,0,1,1,0,1,1,0,0,0]=>110011011000 [1,1,0,0,1,1,1,0,0,0,1,0]=>110011100010 [1,1,0,0,1,1,1,0,0,1,0,0]=>110011100100 [1,1,0,0,1,1,1,0,1,0,0,0]=>110011101000 [1,1,0,0,1,1,1,1,0,0,0,0]=>110011110000 [1,1,0,1,0,0,1,0,1,0,1,0]=>110100101010 [1,1,0,1,0,0,1,0,1,1,0,0]=>110100101100 [1,1,0,1,0,0,1,1,0,0,1,0]=>110100110010 [1,1,0,1,0,0,1,1,0,1,0,0]=>110100110100 [1,1,0,1,0,0,1,1,1,0,0,0]=>110100111000 [1,1,0,1,0,1,0,0,1,0,1,0]=>110101001010 [1,1,0,1,0,1,0,0,1,1,0,0]=>110101001100 [1,1,0,1,0,1,0,1,0,0,1,0]=>110101010010 [1,1,0,1,0,1,0,1,0,1,0,0]=>110101010100 [1,1,0,1,0,1,0,1,1,0,0,0]=>110101011000 [1,1,0,1,0,1,1,0,0,0,1,0]=>110101100010 [1,1,0,1,0,1,1,0,0,1,0,0]=>110101100100 [1,1,0,1,0,1,1,0,1,0,0,0]=>110101101000 [1,1,0,1,0,1,1,1,0,0,0,0]=>110101110000 [1,1,0,1,1,0,0,0,1,0,1,0]=>110110001010 [1,1,0,1,1,0,0,0,1,1,0,0]=>110110001100 [1,1,0,1,1,0,0,1,0,0,1,0]=>110110010010 [1,1,0,1,1,0,0,1,0,1,0,0]=>110110010100 [1,1,0,1,1,0,0,1,1,0,0,0]=>110110011000 [1,1,0,1,1,0,1,0,0,0,1,0]=>110110100010 [1,1,0,1,1,0,1,0,0,1,0,0]=>110110100100 [1,1,0,1,1,0,1,0,1,0,0,0]=>110110101000 [1,1,0,1,1,0,1,1,0,0,0,0]=>110110110000 [1,1,0,1,1,1,0,0,0,0,1,0]=>110111000010 [1,1,0,1,1,1,0,0,0,1,0,0]=>110111000100 [1,1,0,1,1,1,0,0,1,0,0,0]=>110111001000 [1,1,0,1,1,1,0,1,0,0,0,0]=>110111010000 [1,1,0,1,1,1,1,0,0,0,0,0]=>110111100000 [1,1,1,0,0,0,1,0,1,0,1,0]=>111000101010 [1,1,1,0,0,0,1,0,1,1,0,0]=>111000101100 [1,1,1,0,0,0,1,1,0,0,1,0]=>111000110010 [1,1,1,0,0,0,1,1,0,1,0,0]=>111000110100 [1,1,1,0,0,0,1,1,1,0,0,0]=>111000111000 [1,1,1,0,0,1,0,0,1,0,1,0]=>111001001010 [1,1,1,0,0,1,0,0,1,1,0,0]=>111001001100 [1,1,1,0,0,1,0,1,0,0,1,0]=>111001010010 [1,1,1,0,0,1,0,1,0,1,0,0]=>111001010100 [1,1,1,0,0,1,0,1,1,0,0,0]=>111001011000 [1,1,1,0,0,1,1,0,0,0,1,0]=>111001100010 [1,1,1,0,0,1,1,0,0,1,0,0]=>111001100100 [1,1,1,0,0,1,1,0,1,0,0,0]=>111001101000 [1,1,1,0,0,1,1,1,0,0,0,0]=>111001110000 [1,1,1,0,1,0,0,0,1,0,1,0]=>111010001010 [1,1,1,0,1,0,0,0,1,1,0,0]=>111010001100 [1,1,1,0,1,0,0,1,0,0,1,0]=>111010010010 [1,1,1,0,1,0,0,1,0,1,0,0]=>111010010100 [1,1,1,0,1,0,0,1,1,0,0,0]=>111010011000 [1,1,1,0,1,0,1,0,0,0,1,0]=>111010100010 [1,1,1,0,1,0,1,0,0,1,0,0]=>111010100100 [1,1,1,0,1,0,1,0,1,0,0,0]=>111010101000 [1,1,1,0,1,0,1,1,0,0,0,0]=>111010110000 [1,1,1,0,1,1,0,0,0,0,1,0]=>111011000010 [1,1,1,0,1,1,0,0,0,1,0,0]=>111011000100 [1,1,1,0,1,1,0,0,1,0,0,0]=>111011001000 [1,1,1,0,1,1,0,1,0,0,0,0]=>111011010000 [1,1,1,0,1,1,1,0,0,0,0,0]=>111011100000 [1,1,1,1,0,0,0,0,1,0,1,0]=>111100001010 [1,1,1,1,0,0,0,0,1,1,0,0]=>111100001100 [1,1,1,1,0,0,0,1,0,0,1,0]=>111100010010 [1,1,1,1,0,0,0,1,0,1,0,0]=>111100010100 [1,1,1,1,0,0,0,1,1,0,0,0]=>111100011000 [1,1,1,1,0,0,1,0,0,0,1,0]=>111100100010 [1,1,1,1,0,0,1,0,0,1,0,0]=>111100100100 [1,1,1,1,0,0,1,0,1,0,0,0]=>111100101000 [1,1,1,1,0,0,1,1,0,0,0,0]=>111100110000 [1,1,1,1,0,1,0,0,0,0,1,0]=>111101000010 [1,1,1,1,0,1,0,0,0,1,0,0]=>111101000100 [1,1,1,1,0,1,0,0,1,0,0,0]=>111101001000 [1,1,1,1,0,1,0,1,0,0,0,0]=>111101010000 [1,1,1,1,0,1,1,0,0,0,0,0]=>111101100000 [1,1,1,1,1,0,0,0,0,0,1,0]=>111110000010 [1,1,1,1,1,0,0,0,0,1,0,0]=>111110000100 [1,1,1,1,1,0,0,0,1,0,0,0]=>111110001000 [1,1,1,1,1,0,0,1,0,0,0,0]=>111110010000 [1,1,1,1,1,0,1,0,0,0,0,0]=>111110100000 [1,1,1,1,1,1,0,0,0,0,0,0]=>111111000000 [1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>10101010101010 [1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>10101010101100 [1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>10101010110010 [1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>10101010110100 [1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>10101010111000 [1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>10101011001010 [1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>10101011001100 [1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>10101011010010 [1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>10101011010100 [1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>10101011011000 [1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>10101011100010 [1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>10101011100100 [1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>10101011101000 [1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>10101011110000 [1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>10101100101010 [1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>10101100101100 [1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>10101100110010 [1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>10101100110100 [1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>10101100111000 [1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>10101101001010 [1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>10101101001100 [1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>10101101010010 [1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>10101101010100 [1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>10101101011000 [1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>10101101100010 [1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>10101101100100 [1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>10101101101000 [1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>10101101110000 [1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>10101110001010 [1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>10101110001100 [1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>10101110010010 [1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>10101110010100 [1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>10101110011000 [1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>10101110100010 [1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>10101110100100 [1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>10101110101000 [1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>10101110110000 [1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>10101111000010 [1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>10101111000100 [1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>10101111001000 [1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>10101111010000 [1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>10101111100000 [1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>10110010101010 [1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>10110010101100 [1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>10110010110010 [1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>10110010110100 [1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>10110010111000 [1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>10110011001010 [1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>10110011001100 [1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>10110011010010 [1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>10110011010100 [1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>10110011011000 [1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>10110011100010 [1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>10110011100100 [1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>10110011101000 [1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>10110011110000 [1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>10110100101010 [1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>10110100101100 [1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>10110100110010 [1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>10110100110100 [1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>10110100111000 [1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>10110101001010 [1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>10110101001100 [1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>10110101010010 [1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>10110101010100 [1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>10110101011000 [1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>10110101100010 [1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>10110101100100 [1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>10110101101000 [1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>10110101110000 [1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>10110110001010 [1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>10110110001100 [1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>10110110010010 [1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>10110110010100 [1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>10110110011000 [1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>10110110100010 [1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>10110110100100 [1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>10110110101000 [1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>10110110110000 [1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>10110111000010 [1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>10110111000100 [1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>10110111001000 [1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>10110111010000 [1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>10110111100000 [1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>10111000101010 [1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>10111000101100 [1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>10111000110010 [1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>10111000110100 [1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>10111000111000 [1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>10111001001010 [1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>10111001001100 [1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>10111001010010 [1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>10111001010100 [1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>10111001011000 [1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>10111001100010 [1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>10111001100100 [1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>10111001101000 [1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>10111001110000 [1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>10111010001010 [1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>10111010001100 [1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>10111010010010 [1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>10111010010100 [1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>10111010011000 [1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>10111010100010 [1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>10111010100100 [1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>10111010101000 [1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>10111010110000 [1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>10111011000010 [1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>10111011000100 [1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>10111011001000 [1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>10111011010000 [1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>10111011100000 [1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>10111100001010 [1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>10111100001100 [1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>10111100010010 [1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>10111100010100 [1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>10111100011000 [1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>10111100100010 [1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>10111100100100 [1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>10111100101000 [1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>10111100110000 [1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>10111101000010 [1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>10111101000100 [1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>10111101001000 [1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>10111101010000 [1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>10111101100000 [1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>10111110000010 [1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>10111110000100 [1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>10111110001000 [1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>10111110010000 [1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>10111110100000 [1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>10111111000000 [1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>11001010101010 [1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>11001010101100 [1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>11001010110010 [1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>11001010110100 [1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>11001010111000 [1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>11001011001010 [1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>11001011001100 [1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>11001011010010 [1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>11001011010100 [1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>11001011011000 [1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>11001011100010 [1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>11001011100100 [1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>11001011101000 [1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>11001011110000 [1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>11001100101010 [1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>11001100101100 [1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>11001100110010 [1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>11001100110100 [1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>11001100111000 [1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>11001101001010 [1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>11001101001100 [1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>11001101010010 [1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>11001101010100 [1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>11001101011000 [1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>11001101100010 [1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>11001101100100 [1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>11001101101000 [1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>11001101110000 [1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>11001110001010 [1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>11001110001100 [1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>11001110010010 [1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>11001110010100 [1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>11001110011000 [1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>11001110100010 [1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>11001110100100 [1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>11001110101000 [1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>11001110110000 [1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>11001111000010 [1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>11001111000100 [1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>11001111001000 [1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>11001111010000 [1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>11001111100000 [1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>11010010101010 [1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>11010010101100 [1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>11010010110010 [1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>11010010110100 [1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>11010010111000 [1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>11010011001010 [1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>11010011001100 [1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>11010011010010 [1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>11010011010100 [1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>11010011011000 [1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>11010011100010 [1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>11010011100100 [1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>11010011101000 [1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>11010011110000 [1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>11010100101010 [1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>11010100101100 [1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>11010100110010 [1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>11010100110100 [1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>11010100111000 [1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>11010101001010 [1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>11010101001100 [1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>11010101010010 [1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>11010101010100 [1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>11010101011000 [1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>11010101100010 [1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>11010101100100 [1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>11010101101000 [1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>11010101110000 [1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>11010110001010 [1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>11010110001100 [1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>11010110010010 [1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>11010110010100 [1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>11010110011000 [1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>11010110100010 [1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>11010110100100 [1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>11010110101000 [1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>11010110110000 [1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>11010111000010 [1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>11010111000100 [1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>11010111001000 [1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>11010111010000 [1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>11010111100000 [1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>11011000101010 [1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>11011000101100 [1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>11011000110010 [1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>11011000110100 [1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>11011000111000 [1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>11011001001010 [1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>11011001001100 [1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>11011001010010 [1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>11011001010100 [1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>11011001011000 [1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>11011001100010 [1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>11011001100100 [1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>11011001101000 [1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>11011001110000 [1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>11011010001010 [1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>11011010001100 [1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>11011010010010 [1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>11011010010100 [1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>11011010011000 [1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>11011010100010 [1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>11011010100100 [1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>11011010101000 [1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>11011010110000 [1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>11011011000010 [1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>11011011000100 [1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>11011011001000 [1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>11011011010000 [1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>11011011100000 [1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>11011100001010 [1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>11011100001100 [1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>11011100010010 [1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>11011100010100 [1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>11011100011000 [1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>11011100100010 [1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>11011100100100 [1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>11011100101000 [1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>11011100110000 [1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>11011101000010 [1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>11011101000100 [1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>11011101001000 [1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>11011101010000 [1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>11011101100000 [1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>11011110000010 [1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>11011110000100 [1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>11011110001000 [1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>11011110010000 [1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>11011110100000 [1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>11011111000000 [1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>11100010101010 [1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>11100010101100 [1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>11100010110010 [1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>11100010110100 [1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>11100010111000 [1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>11100011001010 [1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>11100011001100 [1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>11100011010010 [1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>11100011010100 [1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>11100011011000 [1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>11100011100010 [1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>11100011100100 [1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>11100011101000 [1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>11100011110000 [1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>11100100101010 [1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>11100100101100 [1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>11100100110010 [1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>11100100110100 [1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>11100100111000 [1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>11100101001010 [1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>11100101001100 [1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>11100101010010 [1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>11100101010100 [1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>11100101011000 [1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>11100101100010 [1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>11100101100100 [1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>11100101101000 [1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>11100101110000 [1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>11100110001010 [1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>11100110001100 [1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>11100110010010 [1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>11100110010100 [1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>11100110011000 [1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>11100110100010 [1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>11100110100100 [1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>11100110101000 [1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>11100110110000 [1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>11100111000010 [1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>11100111000100 [1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>11100111001000 [1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>11100111010000 [1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>11100111100000 [1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>11101000101010 [1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>11101000101100 [1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>11101000110010 [1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>11101000110100 [1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>11101000111000 [1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>11101001001010 [1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>11101001001100 [1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>11101001010010 [1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>11101001010100 [1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>11101001011000 [1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>11101001100010 [1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>11101001100100 [1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>11101001101000 [1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>11101001110000 [1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>11101010001010 [1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>11101010001100 [1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>11101010010010 [1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>11101010010100 [1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>11101010011000 [1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>11101010100010 [1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>11101010100100 [1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>11101010101000 [1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>11101010110000 [1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>11101011000010 [1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>11101011000100 [1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>11101011001000 [1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>11101011010000 [1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>11101011100000 [1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>11101100001010 [1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>11101100001100 [1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>11101100010010 [1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>11101100010100 [1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>11101100011000 [1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>11101100100010 [1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>11101100100100 [1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>11101100101000 [1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>11101100110000 [1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>11101101000010 [1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>11101101000100 [1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>11101101001000 [1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>11101101010000 [1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>11101101100000 [1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>11101110000010 [1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>11101110000100 [1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>11101110001000 [1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>11101110010000 [1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>11101110100000 [1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>11101111000000 [1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>11110000101010 [1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>11110000101100 [1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>11110000110010 [1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>11110000110100 [1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>11110000111000 [1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>11110001001010 [1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>11110001001100 [1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>11110001010010 [1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>11110001010100 [1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>11110001011000 [1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>11110001100010 [1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>11110001100100 [1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>11110001101000 [1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>11110001110000 [1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>11110010001010 [1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>11110010001100 [1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>11110010010010 [1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>11110010010100 [1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>11110010011000 [1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>11110010100010 [1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>11110010100100 [1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>11110010101000 [1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>11110010110000 [1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>11110011000010 [1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>11110011000100 [1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>11110011001000 [1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>11110011010000 [1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>11110011100000 [1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>11110100001010 [1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>11110100001100 [1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>11110100010010 [1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>11110100010100 [1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>11110100011000 [1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>11110100100010 [1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>11110100100100 [1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>11110100101000 [1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>11110100110000 [1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>11110101000010 [1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>11110101000100 [1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>11110101001000 [1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>11110101010000 [1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>11110101100000 [1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>11110110000010 [1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>11110110000100 [1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>11110110001000 [1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>11110110010000 [1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>11110110100000 [1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>11110111000000 [1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>11111000001010 [1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>11111000001100 [1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>11111000010010 [1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>11111000010100 [1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>11111000011000 [1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>11111000100010 [1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>11111000100100 [1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>11111000101000 [1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>11111000110000 [1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>11111001000010 [1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>11111001000100 [1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>11111001001000 [1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>11111001010000 [1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>11111001100000 [1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>11111010000010 [1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>11111010000100 [1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>11111010001000 [1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>11111010010000 [1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>11111010100000 [1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>11111011000000 [1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>11111100000010 [1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>11111100000100 [1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>11111100001000 [1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>11111100010000 [1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>11111100100000 [1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>11111101000000 [1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>11111110000000 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>1010101010101010 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>1010101010101100 [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>1010101010110010 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>1010101010110100 [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>1010101010111000 [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>1010101011001010 [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>1010101011001100 [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>1010101011010010 [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>1010101011010100 [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>1010101011011000 [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>1010101011100010 [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>1010101011100100 [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>1010101011101000 [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>1010101011110000 [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>1010101100101010 [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>1010101100101100 [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>1010101100110010 [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>1010101100110100 [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>1010101100111000 [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>1010101101001010 [1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>1010101101001100 [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>1010101101010010 [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>1010101101010100 [1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>1010101101011000 [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>1010101101100010 [1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>1010101101100100 [1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>1010101101101000 [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>1010101101110000 [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>1010101110001010 [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>1010101110001100 [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>1010101110010010 [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>1010101110010100 [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>1010101110011000 [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>1010101110100010 [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>1010101110100100 [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>1010101110101000 [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>1010101110110000 [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>1010101111000010 [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>1010101111000100 [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>1010101111001000 [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>1010101111010000 [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1010101111100000 [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>1010110010101010 [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>1010110010101100 [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>1010110010110010 [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>1010110010110100 [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>1010110010111000 [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>1010110011001010 [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>1010110011001100 [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>1010110011010010 [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>1010110011010100 [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>1010110011011000 [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>1010110011100010 [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>1010110011100100 [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>1010110011101000 [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>1010110011110000 [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>1010110100101010 [1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>1010110100101100 [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>1010110100110010 [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>1010110100110100 [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>1010110100111000 [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>1010110101001010 [1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>1010110101001100 [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>1010110101010010 [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>1010110101010100 [1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>1010110101011000 [1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>1010110101100010 [1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>1010110101100100 [1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>1010110101101000 [1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>1010110101110000 [1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>1010110110001010 [1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>1010110110001100 [1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>1010110110010010 [1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>1010110110010100 [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>1010110110011000 [1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>1010110110100010 [1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>1010110110100100 [1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>1010110110101000 [1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>1010110110110000 [1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>1010110111000010 [1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>1010110111000100 [1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>1010110111001000 [1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>1010110111010000 [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>1010110111100000 [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>1010111000101010 [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>1010111000101100 [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>1010111000110010 [1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>1010111000110100 [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>1010111000111000 [1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>1010111001001010 [1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>1010111001001100 [1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>1010111001010010 [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>1010111001010100 [1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>1010111001011000 [1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>1010111001100010 [1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>1010111001100100 [1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>1010111001101000 [1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>1010111001110000 [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>1010111010001010 [1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>1010111010001100 [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>1010111010010010 [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>1010111010010100 [1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>1010111010011000 [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>1010111010100010 [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>1010111010100100 [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>1010111010101000 [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>1010111010110000 [1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>1010111011000010 [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>1010111011000100 [1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>1010111011001000 [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>1010111011010000 [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>1010111011100000 [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>1010111100001010 [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>1010111100001100 [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>1010111100010010 [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>1010111100010100 [1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>1010111100011000 [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>1010111100100010 [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>1010111100100100 [1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>1010111100101000 [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>1010111100110000 [1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>1010111101000010 [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>1010111101000100 [1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>1010111101001000 [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>1010111101010000 [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>1010111101100000 [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>1010111110000010 [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>1010111110000100 [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>1010111110001000 [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>1010111110010000 [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>1010111110100000 [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1010111111000000 [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>1011001010101010 [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>1011001010101100 [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>1011001010110010 [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>1011001010110100 [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>1011001010111000 [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>1011001011001010 [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>1011001011001100 [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>1011001011010010 [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>1011001011010100 [1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>1011001011011000 [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>1011001011100010 [1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>1011001011100100 [1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>1011001011101000 [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>1011001011110000 [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>1011001100101010 [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>1011001100101100 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>1011001100110010 [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>1011001100110100 [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>1011001100111000 [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>1011001101001010 [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>1011001101001100 [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>1011001101010010 [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>1011001101010100 [1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>1011001101011000 [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>1011001101100010 [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>1011001101100100 [1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>1011001101101000 [1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>1011001101110000 [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>1011001110001010 [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>1011001110001100 [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>1011001110010010 [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>1011001110010100 [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>1011001110011000 [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>1011001110100010 [1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>1011001110100100 [1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>1011001110101000 [1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>1011001110110000 [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>1011001111000010 [1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>1011001111000100 [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>1011001111001000 [1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>1011001111010000 [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>1011001111100000 [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>1011010010101010 [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>1011010010101100 [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>1011010010110010 [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>1011010010110100 [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>1011010010111000 [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>1011010011001010 [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>1011010011001100 [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>1011010011010010 [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>1011010011010100 [1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>1011010011011000 [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>1011010011100010 [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>1011010011100100 [1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>1011010011101000 [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>1011010011110000 [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>1011010100101010 [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>1011010100101100 [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>1011010100110010 [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>1011010100110100 [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>1011010100111000 [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>1011010101001010 [1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>1011010101001100 [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>1011010101010010 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>1011010101010100 [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>1011010101011000 [1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>1011010101100010 [1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>1011010101100100 [1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>1011010101101000 [1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>1011010101110000 [1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>1011010110001010 [1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>1011010110001100 [1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>1011010110010010 [1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>1011010110010100 [1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>1011010110011000 [1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>1011010110100010 [1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>1011010110100100 [1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>1011010110101000 [1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>1011010110110000 [1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>1011010111000010 [1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>1011010111000100 [1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>1011010111001000 [1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>1011010111010000 [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>1011010111100000 [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>1011011000101010 [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>1011011000101100 [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>1011011000110010 [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>1011011000110100 [1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>1011011000111000 [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>1011011001001010 [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>1011011001001100 [1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>1011011001010010 [1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>1011011001010100 [1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>1011011001011000 [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>1011011001100010 [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>1011011001100100 [1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>1011011001101000 [1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>1011011001110000 [1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>1011011010001010 [1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>1011011010001100 [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>1011011010010010 [1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>1011011010010100 [1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>1011011010011000 [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>1011011010100010 [1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>1011011010100100 [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>1011011010101000 [1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>1011011010110000 [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>1011011011000010 [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>1011011011000100 [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>1011011011001000 [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>1011011011010000 [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>1011011011100000 [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>1011011100001010 [1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>1011011100001100 [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>1011011100010010 [1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>1011011100010100 [1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>1011011100011000 [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>1011011100100010 [1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>1011011100100100 [1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>1011011100101000 [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>1011011100110000 [1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>1011011101000010 [1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>1011011101000100 [1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>1011011101001000 [1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>1011011101010000 [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>1011011101100000 [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>1011011110000010 [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>1011011110000100 [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>1011011110001000 [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>1011011110010000 [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>1011011110100000 [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>1011011111000000 [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>1011100010101010 [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>1011100010101100 [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>1011100010110010 [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>1011100010110100 [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>1011100010111000 [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>1011100011001010 [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>1011100011001100 [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>1011100011010010 [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>1011100011010100 [1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>1011100011011000 [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>1011100011100010 [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>1011100011100100 [1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>1011100011101000 [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>1011100011110000 [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>1011100100101010 [1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>1011100100101100 [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>1011100100110010 [1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>1011100100110100 [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>1011100100111000 [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>1011100101001010 [1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>1011100101001100 [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>1011100101010010 [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>1011100101010100 [1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>1011100101011000 [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>1011100101100010 [1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>1011100101100100 [1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>1011100101101000 [1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>1011100101110000 [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>1011100110001010 [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>1011100110001100 [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>1011100110010010 [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>1011100110010100 [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>1011100110011000 [1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>1011100110100010 [1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>1011100110100100 [1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>1011100110101000 [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>1011100110110000 [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>1011100111000010 [1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>1011100111000100 [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>1011100111001000 [1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>1011100111010000 [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>1011100111100000 [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>1011101000101010 [1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>1011101000101100 [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>1011101000110010 [1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>1011101000110100 [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>1011101000111000 [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>1011101001001010 [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>1011101001001100 [1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>1011101001010010 [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>1011101001010100 [1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>1011101001011000 [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>1011101001100010 [1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>1011101001100100 [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>1011101001101000 [1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>1011101001110000 [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>1011101010001010 [1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>1011101010001100 [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>1011101010010010 [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>1011101010010100 [1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>1011101010011000 [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>1011101010100010 [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>1011101010100100 [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>1011101010101000 [1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>1011101010110000 [1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>1011101011000010 [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>1011101011000100 [1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>1011101011001000 [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>1011101011010000 [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>1011101011100000 [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>1011101100001010 [1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>1011101100001100 [1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>1011101100010010 [1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>1011101100010100 [1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>1011101100011000 [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>1011101100100010 [1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>1011101100100100 [1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>1011101100101000 [1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>1011101100110000 [1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>1011101101000010 [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>1011101101000100 [1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>1011101101001000 [1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>1011101101010000 [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>1011101101100000 [1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>1011101110000010 [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>1011101110000100 [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>1011101110001000 [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>1011101110010000 [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>1011101110100000 [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>1011101111000000 [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>1011110000101010 [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>1011110000101100 [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>1011110000110010 [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>1011110000110100 [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>1011110000111000 [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>1011110001001010 [1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>1011110001001100 [1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>1011110001010010 [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>1011110001010100 [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>1011110001011000 [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>1011110001100010 [1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>1011110001100100 [1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>1011110001101000 [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>1011110001110000 [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>1011110010001010 [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>1011110010001100 [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>1011110010010010 [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>1011110010010100 [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>1011110010011000 [1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>1011110010100010 [1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>1011110010100100 [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>1011110010101000 [1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>1011110010110000 [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>1011110011000010 [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>1011110011000100 [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>1011110011001000 [1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>1011110011010000 [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>1011110011100000 [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>1011110100001010 [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>1011110100001100 [1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>1011110100010010 [1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>1011110100010100 [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>1011110100011000 [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>1011110100100010 [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>1011110100100100 [1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>1011110100101000 [1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>1011110100110000 [1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>1011110101000010 [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>1011110101000100 [1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>1011110101001000 [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>1011110101010000 [1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>1011110101100000 [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>1011110110000010 [1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>1011110110000100 [1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>1011110110001000 [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>1011110110010000 [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>1011110110100000 [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>1011110111000000 [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>1011111000001010 [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>1011111000001100 [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>1011111000010010 [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>1011111000010100 [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>1011111000011000 [1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>1011111000100010 [1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>1011111000100100 [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>1011111000101000 [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>1011111000110000 [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>1011111001000010 [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>1011111001000100 [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>1011111001001000 [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>1011111001010000 [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>1011111001100000 [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>1011111010000010 [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>1011111010000100 [1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>1011111010001000 [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>1011111010010000 [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>1011111010100000 [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>1011111011000000 [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1011111100000010 [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>1011111100000100 [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>1011111100001000 [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>1011111100010000 [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>1011111100100000 [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>1011111101000000 [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1011111110000000 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>1100101010101010 [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>1100101010101100 [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>1100101010110010 [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>1100101010110100 [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>1100101010111000 [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>1100101011001010 [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>1100101011001100 [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0]=>1100101011010010 [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]=>1100101011010100 [1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0]=>1100101011011000 [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>1100101011100010 [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0]=>1100101011100100 [1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0]=>1100101011101000 [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>1100101011110000 [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>1100101100101010 [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>1100101100101100 [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>1100101100110010 [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0]=>1100101100110100 [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>1100101100111000 [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0]=>1100101101001010 [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0]=>1100101101001100 [1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0]=>1100101101010010 [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]=>1100101101010100 [1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0]=>1100101101011000 [1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0]=>1100101101100010 [1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0]=>1100101101100100 [1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0]=>1100101101101000 [1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0]=>1100101101110000 [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>1100101110001010 [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>1100101110001100 [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0]=>1100101110010010 [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0]=>1100101110010100 [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0]=>1100101110011000 [1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0]=>1100101110100010 [1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0]=>1100101110100100 [1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0]=>1100101110101000 [1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0]=>1100101110110000 [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>1100101111000010 [1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0]=>1100101111000100 [1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0]=>1100101111001000 [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]=>1100101111010000 [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1100101111100000 [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>1100110010101010 [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>1100110010101100 [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>1100110010110010 [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0]=>1100110010110100 [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>1100110010111000 [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>1100110011001010 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>1100110011001100 [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0]=>1100110011010010 [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]=>1100110011010100 [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>1100110011011000 [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>1100110011100010 [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>1100110011100100 [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>1100110011101000 [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>1100110011110000 [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0]=>1100110100101010 [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0]=>1100110100101100 [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0]=>1100110100110010 [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0]=>1100110100110100 [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0]=>1100110100111000 [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0]=>1100110101001010 [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0]=>1100110101001100 [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0]=>1100110101010010 [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>1100110101010100 [1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0]=>1100110101011000 [1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0]=>1100110101100010 [1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0]=>1100110101100100 [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0]=>1100110101101000 [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]=>1100110101110000 [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0]=>1100110110001010 [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>1100110110001100 [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0]=>1100110110010010 [1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0]=>1100110110010100 [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>1100110110011000 [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0]=>1100110110100010 [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0]=>1100110110100100 [1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0]=>1100110110101000 [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>1100110110110000 [1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0]=>1100110111000010 [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0]=>1100110111000100 [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0]=>1100110111001000 [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0]=>1100110111010000 [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>1100110111100000 [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>1100111000101010 [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>1100111000101100 [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>1100111000110010 [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0]=>1100111000110100 [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>1100111000111000 [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0]=>1100111001001010 [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>1100111001001100 [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0]=>1100111001010010 [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0]=>1100111001010100 [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0]=>1100111001011000 [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0]=>1100111001100010 [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>1100111001100100 [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0]=>1100111001101000 [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0]=>1100111001110000 [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0]=>1100111010001010 [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]=>1100111010001100 [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0]=>1100111010010010 [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0]=>1100111010010100 [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0]=>1100111010011000 [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0]=>1100111010100010 [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0]=>1100111010100100 [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0]=>1100111010101000 [1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0]=>1100111010110000 [1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0]=>1100111011000010 [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]=>1100111011000100 [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>1100111011001000 [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]=>1100111011010000 [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>1100111011100000 [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>1100111100001010 [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>1100111100001100 [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0]=>1100111100010010 [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0]=>1100111100010100 [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]=>1100111100011000 [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0]=>1100111100100010 [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>1100111100100100 [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0]=>1100111100101000 [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>1100111100110000 [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0]=>1100111101000010 [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0]=>1100111101000100 [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0]=>1100111101001000 [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>1100111101010000 [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>1100111101100000 [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>1100111110000010 [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>1100111110000100 [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>1100111110001000 [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>1100111110010000 [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>1100111110100000 [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1100111111000000 [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>1101001010101010 [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]=>1101001010101100 [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0]=>1101001010110010 [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]=>1101001010110100 [1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0]=>1101001010111000 [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0]=>1101001011001010 [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0]=>1101001011001100 [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]=>1101001011010010 [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0]=>1101001011010100 [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0]=>1101001011011000 [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0]=>1101001011100010 [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0]=>1101001011100100 [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0]=>1101001011101000 [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0]=>1101001011110000 [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0]=>1101001100101010 [1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0]=>1101001100101100 [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>1101001100110010 [1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0]=>1101001100110100 [1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0]=>1101001100111000 [1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0]=>1101001101001010 [1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0]=>1101001101001100 [1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0]=>1101001101010010 [1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0]=>1101001101010100 [1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0]=>1101001101011000 [1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0]=>1101001101100010 [1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0]=>1101001101100100 [1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0]=>1101001101101000 [1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0]=>1101001101110000 [1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0]=>1101001110001010 [1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0]=>1101001110001100 [1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0]=>1101001110010010 [1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0]=>1101001110010100 [1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0]=>1101001110011000 [1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0]=>1101001110100010 [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0]=>1101001110100100 [1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0]=>1101001110101000 [1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0]=>1101001110110000 [1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0]=>1101001111000010 [1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0]=>1101001111000100 [1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0]=>1101001111001000 [1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0]=>1101001111010000 [1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>1101001111100000 [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>1101010010101010 [1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0]=>1101010010101100 [1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0]=>1101010010110010 [1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0]=>1101010010110100 [1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0]=>1101010010111000 [1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0]=>1101010011001010 [1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0]=>1101010011001100 [1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0]=>1101010011010010 [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]=>1101010011010100 [1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0]=>1101010011011000 [1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0]=>1101010011100010 [1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0]=>1101010011100100 [1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0]=>1101010011101000 [1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]=>1101010011110000 [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>1101010100101010 [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0]=>1101010100101100 [1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0]=>1101010100110010 [1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0]=>1101010100110100 [1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]=>1101010100111000 [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>1101010101001010 [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>1101010101001100 [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>1101010101010010 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>1101010101010100 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>1101010101011000 [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]=>1101010101100010 [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>1101010101100100 [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>1101010101101000 [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>1101010101110000 [1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0]=>1101010110001010 [1,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0]=>1101010110001100 [1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0]=>1101010110010010 [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]=>1101010110010100 [1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0]=>1101010110011000 [1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0]=>1101010110100010 [1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0]=>1101010110100100 [1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>1101010110101000 [1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]=>1101010110110000 [1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0]=>1101010111000010 [1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]=>1101010111000100 [1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0]=>1101010111001000 [1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]=>1101010111010000 [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>1101010111100000 [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]=>1101011000101010 [1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0]=>1101011000101100 [1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0]=>1101011000110010 [1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0]=>1101011000110100 [1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0]=>1101011000111000 [1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0]=>1101011001001010 [1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0]=>1101011001001100 [1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0]=>1101011001010010 [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]=>1101011001010100 [1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0]=>1101011001011000 [1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0]=>1101011001100010 [1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0]=>1101011001100100 [1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0]=>1101011001101000 [1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0]=>1101011001110000 [1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0]=>1101011010001010 [1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0]=>1101011010001100 [1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0]=>1101011010010010 [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]=>1101011010010100 [1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0]=>1101011010011000 [1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0]=>1101011010100010 [1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0]=>1101011010100100 [1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]=>1101011010101000 [1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0]=>1101011010110000 [1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0]=>1101011011000010 [1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0]=>1101011011000100 [1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0]=>1101011011001000 [1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0]=>1101011011010000 [1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0]=>1101011011100000 [1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0]=>1101011100001010 [1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0]=>1101011100001100 [1,1,0,1,0,1,1,1,0,0,0,1,0,0,1,0]=>1101011100010010 [1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0]=>1101011100010100 [1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0]=>1101011100011000 [1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0]=>1101011100100010 [1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0]=>1101011100100100 [1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0]=>1101011100101000 [1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0]=>1101011100110000 [1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0]=>1101011101000010 [1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0]=>1101011101000100 [1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0]=>1101011101001000 [1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]=>1101011101010000 [1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0]=>1101011101100000 [1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0]=>1101011110000010 [1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]=>1101011110000100 [1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]=>1101011110001000 [1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0]=>1101011110010000 [1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]=>1101011110100000 [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>1101011111000000 [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]=>1101100010101010 [1,1,0,1,1,0,0,0,1,0,1,0,1,1,0,0]=>1101100010101100 [1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0]=>1101100010110010 [1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0]=>1101100010110100 [1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0]=>1101100010111000 [1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0]=>1101100011001010 [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>1101100011001100 [1,1,0,1,1,0,0,0,1,1,0,1,0,0,1,0]=>1101100011010010 [1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0]=>1101100011010100 [1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>1101100011011000 [1,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0]=>1101100011100010 [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0]=>1101100011100100 [1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0]=>1101100011101000 [1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0]=>1101100011110000 [1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0]=>1101100100101010 [1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0]=>1101100100101100 [1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0]=>1101100100110010 [1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0]=>1101100100110100 [1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0]=>1101100100111000 [1,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0]=>1101100101001010 [1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0]=>1101100101001100 [1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0]=>1101100101010010 [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>1101100101010100 [1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0]=>1101100101011000 [1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0]=>1101100101100010 [1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0]=>1101100101100100 [1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0]=>1101100101101000 [1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0]=>1101100101110000 [1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0]=>1101100110001010 [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>1101100110001100 [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0]=>1101100110010010 [1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0]=>1101100110010100 [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>1101100110011000 [1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0]=>1101100110100010 [1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0]=>1101100110100100 [1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0]=>1101100110101000 [1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>1101100110110000 [1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0]=>1101100111000010 [1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0]=>1101100111000100 [1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0]=>1101100111001000 [1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0]=>1101100111010000 [1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>1101100111100000 [1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0]=>1101101000101010 [1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,0]=>1101101000101100 [1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0]=>1101101000110010 [1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0]=>1101101000110100 [1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0]=>1101101000111000 [1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0]=>1101101001001010 [1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0]=>1101101001001100 [1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0]=>1101101001010010 [1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0]=>1101101001010100 [1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0]=>1101101001011000 [1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0]=>1101101001100010 [1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0]=>1101101001100100 [1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0]=>1101101001101000 [1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0]=>1101101001110000 [1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0]=>1101101010001010 [1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0]=>1101101010001100 [1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0]=>1101101010010010 [1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0]=>1101101010010100 [1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0]=>1101101010011000 [1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0]=>1101101010100010 [1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0]=>1101101010100100 [1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]=>1101101010101000 [1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0]=>1101101010110000 [1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0]=>1101101011000010 [1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0]=>1101101011000100 [1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0]=>1101101011001000 [1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0]=>1101101011010000 [1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0]=>1101101011100000 [1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0]=>1101101100001010 [1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0]=>1101101100001100 [1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0]=>1101101100010010 [1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0]=>1101101100010100 [1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>1101101100011000 [1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0]=>1101101100100010 [1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0]=>1101101100100100 [1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0]=>1101101100101000 [1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]=>1101101100110000 [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0]=>1101101101000010 [1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0]=>1101101101000100 [1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0]=>1101101101001000 [1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]=>1101101101010000 [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>1101101101100000 [1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0]=>1101101110000010 [1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0]=>1101101110000100 [1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0]=>1101101110001000 [1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]=>1101101110010000 [1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0]=>1101101110100000 [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>1101101111000000 [1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0]=>1101110000101010 [1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0]=>1101110000101100 [1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0]=>1101110000110010 [1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0]=>1101110000110100 [1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0]=>1101110000111000 [1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0]=>1101110001001010 [1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0]=>1101110001001100 [1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0]=>1101110001010010 [1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0]=>1101110001010100 [1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0]=>1101110001011000 [1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0]=>1101110001100010 [1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0]=>1101110001100100 [1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0]=>1101110001101000 [1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>1101110001110000 [1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0]=>1101110010001010 [1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0]=>1101110010001100 [1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0]=>1101110010010010 [1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0]=>1101110010010100 [1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0]=>1101110010011000 [1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0]=>1101110010100010 [1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0]=>1101110010100100 [1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0]=>1101110010101000 [1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0]=>1101110010110000 [1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0]=>1101110011000010 [1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0]=>1101110011000100 [1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]=>1101110011001000 [1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0]=>1101110011010000 [1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>1101110011100000 [1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0]=>1101110100001010 [1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0]=>1101110100001100 [1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0]=>1101110100010010 [1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0]=>1101110100010100 [1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0]=>1101110100011000 [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>1101110100100010 [1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0]=>1101110100100100 [1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0]=>1101110100101000 [1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0]=>1101110100110000 [1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0]=>1101110101000010 [1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0]=>1101110101000100 [1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0]=>1101110101001000 [1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]=>1101110101010000 [1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0]=>1101110101100000 [1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0]=>1101110110000010 [1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0]=>1101110110000100 [1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]=>1101110110001000 [1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0]=>1101110110010000 [1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>1101110110100000 [1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>1101110111000000 [1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0]=>1101111000001010 [1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]=>1101111000001100 [1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0]=>1101111000010010 [1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]=>1101111000010100 [1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>1101111000011000 [1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0]=>1101111000100010 [1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0]=>1101111000100100 [1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]=>1101111000101000 [1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>1101111000110000 [1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0]=>1101111001000010 [1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0]=>1101111001000100 [1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0]=>1101111001001000 [1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0]=>1101111001010000 [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>1101111001100000 [1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0]=>1101111010000010 [1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0]=>1101111010000100 [1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]=>1101111010001000 [1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0]=>1101111010010000 [1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]=>1101111010100000 [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>1101111011000000 [1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1101111100000010 [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>1101111100000100 [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>1101111100001000 [1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>1101111100010000 [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>1101111100100000 [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>1101111101000000 [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1101111110000000 [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>1110001010101010 [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0]=>1110001010101100 [1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0]=>1110001010110010 [1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0]=>1110001010110100 [1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0]=>1110001010111000 [1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0]=>1110001011001010 [1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0]=>1110001011001100 [1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0]=>1110001011010010 [1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0]=>1110001011010100 [1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0]=>1110001011011000 [1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0]=>1110001011100010 [1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0]=>1110001011100100 [1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0]=>1110001011101000 [1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0]=>1110001011110000 [1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0]=>1110001100101010 [1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0]=>1110001100101100 [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]=>1110001100110010 [1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0]=>1110001100110100 [1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]=>1110001100111000 [1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0]=>1110001101001010 [1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,0]=>1110001101001100 [1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0]=>1110001101010010 [1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0]=>1110001101010100 [1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0]=>1110001101011000 [1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0]=>1110001101100010 [1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0]=>1110001101100100 [1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0]=>1110001101101000 [1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0]=>1110001101110000 [1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0]=>1110001110001010 [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]=>1110001110001100 [1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0]=>1110001110010010 [1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0]=>1110001110010100 [1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0]=>1110001110011000 [1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0]=>1110001110100010 [1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>1110001110100100 [1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0]=>1110001110101000 [1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0]=>1110001110110000 [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]=>1110001111000010 [1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0]=>1110001111000100 [1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0]=>1110001111001000 [1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0]=>1110001111010000 [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>1110001111100000 [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0]=>1110010010101010 [1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0]=>1110010010101100 [1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0]=>1110010010110010 [1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0]=>1110010010110100 [1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0]=>1110010010111000 [1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0]=>1110010011001010 [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>1110010011001100 [1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0]=>1110010011010010 [1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0]=>1110010011010100 [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0]=>1110010011011000 [1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0]=>1110010011100010 [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>1110010011100100 [1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0]=>1110010011101000 [1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]=>1110010011110000 [1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0]=>1110010100101010 [1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0]=>1110010100101100 [1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0]=>1110010100110010 [1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0]=>1110010100110100 [1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0]=>1110010100111000 [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0]=>1110010101001010 [1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0]=>1110010101001100 [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0]=>1110010101010010 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>1110010101010100 [1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0]=>1110010101011000 [1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0]=>1110010101100010 [1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0]=>1110010101100100 [1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0]=>1110010101101000 [1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0]=>1110010101110000 [1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0]=>1110010110001010 [1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0]=>1110010110001100 [1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0]=>1110010110010010 [1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0]=>1110010110010100 [1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0]=>1110010110011000 [1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0]=>1110010110100010 [1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0]=>1110010110100100 [1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0]=>1110010110101000 [1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0]=>1110010110110000 [1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0]=>1110010111000010 [1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0]=>1110010111000100 [1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0]=>1110010111001000 [1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0]=>1110010111010000 [1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>1110010111100000 [1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0]=>1110011000101010 [1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0]=>1110011000101100 [1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]=>1110011000110010 [1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0]=>1110011000110100 [1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0]=>1110011000111000 [1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0]=>1110011001001010 [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>1110011001001100 [1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0]=>1110011001010010 [1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0]=>1110011001010100 [1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0]=>1110011001011000 [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]=>1110011001100010 [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>1110011001100100 [1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0]=>1110011001101000 [1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]=>1110011001110000 [1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0]=>1110011010001010 [1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0]=>1110011010001100 [1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0]=>1110011010010010 [1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0]=>1110011010010100 [1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0]=>1110011010011000 [1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0]=>1110011010100010 [1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0]=>1110011010100100 [1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0]=>1110011010101000 [1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0]=>1110011010110000 [1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0]=>1110011011000010 [1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0]=>1110011011000100 [1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0]=>1110011011001000 [1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>1110011011010000 [1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0]=>1110011011100000 [1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0]=>1110011100001010 [1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0]=>1110011100001100 [1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0]=>1110011100010010 [1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0]=>1110011100010100 [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]=>1110011100011000 [1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0]=>1110011100100010 [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>1110011100100100 [1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0]=>1110011100101000 [1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0]=>1110011100110000 [1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0]=>1110011101000010 [1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0]=>1110011101000100 [1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>1110011101001000 [1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0]=>1110011101010000 [1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]=>1110011101100000 [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0]=>1110011110000010 [1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]=>1110011110000100 [1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]=>1110011110001000 [1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]=>1110011110010000 [1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>1110011110100000 [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>1110011111000000 [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>1110100010101010 [1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0]=>1110100010101100 [1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0]=>1110100010110010 [1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0]=>1110100010110100 [1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0]=>1110100010111000 [1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0]=>1110100011001010 [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]=>1110100011001100 [1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0]=>1110100011010010 [1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0]=>1110100011010100 [1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0]=>1110100011011000 [1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0]=>1110100011100010 [1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0]=>1110100011100100 [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]=>1110100011101000 [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>1110100011110000 [1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0]=>1110100100101010 [1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0]=>1110100100101100 [1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0]=>1110100100110010 [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0]=>1110100100110100 [1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0]=>1110100100111000 [1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0]=>1110100101001010 [1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0]=>1110100101001100 [1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0]=>1110100101010010 [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>1110100101010100 [1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0]=>1110100101011000 [1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0]=>1110100101100010 [1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0]=>1110100101100100 [1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0]=>1110100101101000 [1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0]=>1110100101110000 [1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0]=>1110100110001010 [1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0]=>1110100110001100 [1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0]=>1110100110010010 [1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0]=>1110100110010100 [1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0]=>1110100110011000 [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0]=>1110100110100010 [1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0]=>1110100110100100 [1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0]=>1110100110101000 [1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0]=>1110100110110000 [1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0]=>1110100111000010 [1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0]=>1110100111000100 [1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0]=>1110100111001000 [1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0]=>1110100111010000 [1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]=>1110100111100000 [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0]=>1110101000101010 [1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0]=>1110101000101100 [1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0]=>1110101000110010 [1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0]=>1110101000110100 [1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0]=>1110101000111000 [1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0]=>1110101001001010 [1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0]=>1110101001001100 [1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0]=>1110101001010010 [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]=>1110101001010100 [1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,0]=>1110101001011000 [1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0]=>1110101001100010 [1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0]=>1110101001100100 [1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0]=>1110101001101000 [1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0]=>1110101001110000 [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0]=>1110101010001010 [1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0]=>1110101010001100 [1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0]=>1110101010010010 [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0]=>1110101010010100 [1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0]=>1110101010011000 [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>1110101010100010 [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>1110101010100100 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>1110101010101000 [1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>1110101010110000 [1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0]=>1110101011000010 [1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0]=>1110101011000100 [1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0]=>1110101011001000 [1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0]=>1110101011010000 [1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>1110101011100000 [1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0]=>1110101100001010 [1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0]=>1110101100001100 [1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0]=>1110101100010010 [1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0]=>1110101100010100 [1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0]=>1110101100011000 [1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0]=>1110101100100010 [1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0]=>1110101100100100 [1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0]=>1110101100101000 [1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0]=>1110101100110000 [1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0]=>1110101101000010 [1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0]=>1110101101000100 [1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0]=>1110101101001000 [1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0]=>1110101101010000 [1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0]=>1110101101100000 [1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0]=>1110101110000010 [1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0]=>1110101110000100 [1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0]=>1110101110001000 [1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0]=>1110101110010000 [1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]=>1110101110100000 [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>1110101111000000 [1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0]=>1110110000101010 [1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0]=>1110110000101100 [1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0]=>1110110000110010 [1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0]=>1110110000110100 [1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0]=>1110110000111000 [1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0]=>1110110001001010 [1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0]=>1110110001001100 [1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0]=>1110110001010010 [1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0]=>1110110001010100 [1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0]=>1110110001011000 [1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0]=>1110110001100010 [1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]=>1110110001100100 [1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0]=>1110110001101000 [1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0]=>1110110001110000 [1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0]=>1110110010001010 [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0]=>1110110010001100 [1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0]=>1110110010010010 [1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0]=>1110110010010100 [1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0]=>1110110010011000 [1,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0]=>1110110010100010 [1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0]=>1110110010100100 [1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0]=>1110110010101000 [1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]=>1110110010110000 [1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0]=>1110110011000010 [1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]=>1110110011000100 [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]=>1110110011001000 [1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0]=>1110110011010000 [1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>1110110011100000 [1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0]=>1110110100001010 [1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0]=>1110110100001100 [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0]=>1110110100010010 [1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0]=>1110110100010100 [1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0]=>1110110100011000 [1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0]=>1110110100100010 [1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0]=>1110110100100100 [1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0]=>1110110100101000 [1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]=>1110110100110000 [1,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0]=>1110110101000010 [1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0]=>1110110101000100 [1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0]=>1110110101001000 [1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]=>1110110101010000 [1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]=>1110110101100000 [1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]=>1110110110000010 [1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0]=>1110110110000100 [1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]=>1110110110001000 [1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>1110110110010000 [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>1110110110100000 [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>1110110111000000 [1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0]=>1110111000001010 [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>1110111000001100 [1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0]=>1110111000010010 [1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]=>1110111000010100 [1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0]=>1110111000011000 [1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0]=>1110111000100010 [1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0]=>1110111000100100 [1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]=>1110111000101000 [1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>1110111000110000 [1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0]=>1110111001000010 [1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]=>1110111001000100 [1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]=>1110111001001000 [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>1110111001010000 [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>1110111001100000 [1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0]=>1110111010000010 [1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]=>1110111010000100 [1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]=>1110111010001000 [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>1110111010010000 [1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>1110111010100000 [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>1110111011000000 [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>1110111100000010 [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>1110111100000100 [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>1110111100001000 [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>1110111100010000 [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>1110111100100000 [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>1110111101000000 [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>1110111110000000 [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]=>1111000010101010 [1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0]=>1111000010101100 [1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0]=>1111000010110010 [1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0]=>1111000010110100 [1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0]=>1111000010111000 [1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0]=>1111000011001010 [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>1111000011001100 [1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0]=>1111000011010010 [1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0]=>1111000011010100 [1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0]=>1111000011011000 [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]=>1111000011100010 [1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0]=>1111000011100100 [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>1111000011101000 [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>1111000011110000 [1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0]=>1111000100101010 [1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0]=>1111000100101100 [1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0]=>1111000100110010 [1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0]=>1111000100110100 [1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0]=>1111000100111000 [1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0]=>1111000101001010 [1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0]=>1111000101001100 [1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0]=>1111000101010010 [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]=>1111000101010100 [1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0]=>1111000101011000 [1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0]=>1111000101100010 [1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0]=>1111000101100100 [1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0]=>1111000101101000 [1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]=>1111000101110000 [1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0]=>1111000110001010 [1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0]=>1111000110001100 [1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0]=>1111000110010010 [1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0]=>1111000110010100 [1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>1111000110011000 [1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0]=>1111000110100010 [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0]=>1111000110100100 [1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0]=>1111000110101000 [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0]=>1111000110110000 [1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0]=>1111000111000010 [1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>1111000111000100 [1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0]=>1111000111001000 [1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>1111000111010000 [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>1111000111100000 [1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0]=>1111001000101010 [1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0]=>1111001000101100 [1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0]=>1111001000110010 [1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0]=>1111001000110100 [1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]=>1111001000111000 [1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0]=>1111001001001010 [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>1111001001001100 [1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0]=>1111001001010010 [1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0]=>1111001001010100 [1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0]=>1111001001011000 [1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0]=>1111001001100010 [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>1111001001100100 [1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0]=>1111001001101000 [1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]=>1111001001110000 [1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0]=>1111001010001010 [1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0]=>1111001010001100 [1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0]=>1111001010010010 [1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0]=>1111001010010100 [1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0]=>1111001010011000 [1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0]=>1111001010100010 [1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0]=>1111001010100100 [1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]=>1111001010101000 [1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0]=>1111001010110000 [1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0]=>1111001011000010 [1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0]=>1111001011000100 [1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]=>1111001011001000 [1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0]=>1111001011010000 [1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>1111001011100000 [1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0]=>1111001100001010 [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>1111001100001100 [1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0]=>1111001100010010 [1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0]=>1111001100010100 [1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>1111001100011000 [1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0]=>1111001100100010 [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>1111001100100100 [1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0]=>1111001100101000 [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>1111001100110000 [1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0]=>1111001101000010 [1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0]=>1111001101000100 [1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0]=>1111001101001000 [1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]=>1111001101010000 [1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>1111001101100000 [1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]=>1111001110000010 [1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]=>1111001110000100 [1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>1111001110001000 [1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>1111001110010000 [1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>1111001110100000 [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>1111001111000000 [1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0]=>1111010000101010 [1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0]=>1111010000101100 [1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0]=>1111010000110010 [1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0]=>1111010000110100 [1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0]=>1111010000111000 [1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0]=>1111010001001010 [1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0]=>1111010001001100 [1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0]=>1111010001010010 [1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0]=>1111010001010100 [1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0]=>1111010001011000 [1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0]=>1111010001100010 [1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0]=>1111010001100100 [1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0]=>1111010001101000 [1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]=>1111010001110000 [1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0]=>1111010010001010 [1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0]=>1111010010001100 [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0]=>1111010010010010 [1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0]=>1111010010010100 [1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0]=>1111010010011000 [1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0]=>1111010010100010 [1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0]=>1111010010100100 [1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0]=>1111010010101000 [1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]=>1111010010110000 [1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0]=>1111010011000010 [1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0]=>1111010011000100 [1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0]=>1111010011001000 [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>1111010011010000 [1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>1111010011100000 [1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0]=>1111010100001010 [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0]=>1111010100001100 [1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0]=>1111010100010010 [1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0]=>1111010100010100 [1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0]=>1111010100011000 [1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0]=>1111010100100010 [1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0]=>1111010100100100 [1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0]=>1111010100101000 [1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0]=>1111010100110000 [1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0]=>1111010101000010 [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]=>1111010101000100 [1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0]=>1111010101001000 [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>1111010101010000 [1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]=>1111010101100000 [1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0]=>1111010110000010 [1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0]=>1111010110000100 [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>1111010110001000 [1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]=>1111010110010000 [1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]=>1111010110100000 [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>1111010111000000 [1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0]=>1111011000001010 [1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>1111011000001100 [1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0]=>1111011000010010 [1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0]=>1111011000010100 [1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]=>1111011000011000 [1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0]=>1111011000100010 [1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0]=>1111011000100100 [1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]=>1111011000101000 [1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>1111011000110000 [1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0]=>1111011001000010 [1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0]=>1111011001000100 [1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]=>1111011001001000 [1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]=>1111011001010000 [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>1111011001100000 [1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>1111011010000010 [1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>1111011010000100 [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>1111011010001000 [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>1111011010010000 [1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>1111011010100000 [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>1111011011000000 [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>1111011100000010 [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>1111011100000100 [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>1111011100001000 [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>1111011100010000 [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>1111011100100000 [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>1111011101000000 [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>1111011110000000 [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>1111100000101010 [1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]=>1111100000101100 [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>1111100000110010 [1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]=>1111100000110100 [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>1111100000111000 [1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0]=>1111100001001010 [1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0]=>1111100001001100 [1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0]=>1111100001010010 [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>1111100001010100 [1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>1111100001011000 [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]=>1111100001100010 [1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>1111100001100100 [1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>1111100001101000 [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>1111100001110000 [1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]=>1111100010001010 [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>1111100010001100 [1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0]=>1111100010010010 [1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0]=>1111100010010100 [1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]=>1111100010011000 [1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0]=>1111100010100010 [1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0]=>1111100010100100 [1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]=>1111100010101000 [1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>1111100010110000 [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>1111100011000010 [1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]=>1111100011000100 [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>1111100011001000 [1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>1111100011010000 [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>1111100011100000 [1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]=>1111100100001010 [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>1111100100001100 [1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0]=>1111100100010010 [1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0]=>1111100100010100 [1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0]=>1111100100011000 [1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0]=>1111100100100010 [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>1111100100100100 [1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]=>1111100100101000 [1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>1111100100110000 [1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0]=>1111100101000010 [1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0]=>1111100101000100 [1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]=>1111100101001000 [1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>1111100101010000 [1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>1111100101100000 [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>1111100110000010 [1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>1111100110000100 [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>1111100110001000 [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>1111100110010000 [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>1111100110100000 [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>1111100111000000 [1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]=>1111101000001010 [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>1111101000001100 [1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0]=>1111101000010010 [1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0]=>1111101000010100 [1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0]=>1111101000011000 [1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0]=>1111101000100010 [1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]=>1111101000100100 [1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0]=>1111101000101000 [1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>1111101000110000 [1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0]=>1111101001000010 [1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>1111101001000100 [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>1111101001001000 [1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>1111101001010000 [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>1111101001100000 [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>1111101010000010 [1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]=>1111101010000100 [1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>1111101010001000 [1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>1111101010010000 [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>1111101010100000 [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>1111101011000000 [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>1111101100000010 [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>1111101100000100 [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>1111101100001000 [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>1111101100010000 [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>1111101100100000 [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>1111101101000000 [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>1111101110000000 [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>1111110000001010 [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1111110000001100 [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>1111110000010010 [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>1111110000010100 [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>1111110000011000 [1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>1111110000100010 [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>1111110000100100 [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>1111110000101000 [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>1111110000110000 [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>1111110001000010 [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>1111110001000100 [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>1111110001001000 [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>1111110001010000 [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>1111110001100000 [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>1111110010000010 [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>1111110010000100 [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>1111110010001000 [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>1111110010010000 [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>1111110010100000 [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>1111110011000000 [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>1111110100000010 [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>1111110100000100 [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>1111110100001000 [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>1111110100010000 [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>1111110100100000 [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>1111110101000000 [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>1111110110000000 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1111111000000010 [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>1111111000000100 [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>1111111000001000 [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>1111111000010000 [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>1111111000100000 [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>1111111001000000 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>1111111010000000 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1111111100000000 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>111111110000000010 [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>101111111100000000 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0]=>111111101000000010 [1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>101111111010000000 [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0]=>111111100100000010 [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0]=>111111011000000010 [1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>101111111001000000 [1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>101111110110000000 [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,1,0]=>111111100010000010 [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0]=>111111010100000010 [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0]=>111110111000000010 [1,0,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>101111111000100000 [1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>101111110101000000 [1,0,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>101111101110000000 [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,1,0]=>111111100001000010 [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0]=>111111010010000010 [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0]=>111111001100000010 [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0]=>111110110100000010 [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,1,0]=>111101111000000010 [1,0,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>101111111000010000 [1,0,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>101111110100100000 [1,0,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>101111110011000000 [1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>101111101101000000 [1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>101111011110000000 [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,1,0]=>111111100000100010 [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,1,0]=>111111010001000010 [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,1,0]=>111111001010000010 [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,1,0]=>111110110010000010 [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,1,0]=>111110101100000010 [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0]=>111101110100000010 [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>111011111000000010 [1,0,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>101111111000001000 [1,0,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>101111110100010000 [1,0,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>101111110010100000 [1,0,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>101111101100100000 [1,0,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>101111101011000000 [1,0,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>101111011101000000 [1,0,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>101110111110000000 [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0]=>111111100000010010 [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,1,0]=>111111001001000010 [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,1,0]=>111111000110000010 [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0]=>111110101010000010 [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,0]=>111101101100000010 [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>110111111000000010 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]=>111111100000001100 [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>101111111000000100 [1,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>101111110010010000 [1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>101111110001100000 [1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>101111101010100000 [1,0,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>101111011011000000 [1,0,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>101110111101000000 [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>110011111110000000 [1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>101101111110000000 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]=>111111100000001010 [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0]=>111111010000010010 [1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0,1,0]=>111110101001000010 [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,1,0]=>111101110001000010 [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0]=>111110100110000010 [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,1,0]=>111110011010000010 [1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,1,0]=>111101101010000010 [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>101111111000000010 [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0]=>111111010000001100 [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>101111110100000100 [1,0,1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>101111110010001000 [1,0,1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>101111110001010000 [1,0,1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>101111101010010000 [1,0,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>101111011100010000 [1,0,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>101111101001100000 [1,0,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>101111100110100000 [1,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>101111011010100000 [1,0,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>101111010111000000 [1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>110011111101000000 [1,0,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>101101111101000000 [1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>101011111110000000 [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0]=>111111010000001010 [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0,1,0]=>111111000100100010 [1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0,1,0]=>111110101000100010 [1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>111011101010000010 [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>110111101100000010 [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>101111110100000010 [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0]=>111111001000001100 [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0]=>111110110000001100 [1,0,1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>101111101010001000 [1,0,1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>101111011001100000 [1,0,1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>101110111010100000 [1,1,0,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>110011111100100000 [1,0,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>101101111100100000 [1,1,0,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>110011111011000000 [1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>101011111101000000 [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,1,0]=>111111001000001010 [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,1,0]=>111110110000001010 [1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0,1,0]=>111110101000010010 [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0,1,0]=>111111000010100010 [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>111011110000100010 [1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,1,0]=>111110010101000010 [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,1,0]=>111110001110000010 [1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,1,0]=>111101010110000010 [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>101111110010000010 [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>101111101100000010 [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,1,0,0]=>111111000100001100 [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,1,0,0]=>111110101000001100 [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,1,0,0]=>111101110000001100 [1,0,1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>101111110000101000 [1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>101111011010001000 [1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>101110111100001000 [1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>101111100101010000 [1,0,1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]=>101111011001010000 [1,0,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>101111100011100000 [1,0,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]=>101111010101100000 [1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>110011111010100000 [1,0,1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]=>101101111010100000 [1,0,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>101011111100100000 [1,0,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>101110101111000000 [1,1,0,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>110011110111000000 [1,0,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>101011111011000000 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>110101010101010100 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>110101010101011000 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>110101010101100100 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>110101010101101000 [1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>110101010101110000 [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]=>110101010110010100 [1,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0]=>110101010110011000 [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0]=>110101010110100100 [1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>110101010110101000 [1,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]=>110101010110110000 [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]=>110101010111000100 [1,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0]=>110101010111001000 [1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]=>110101010111010000 [1,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>110101010111100000 [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]=>110101011001010100 [1,1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0]=>110101011001011000 [1,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0]=>110101011001110000 [1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]=>110101011010010100 [1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]=>110101011010101000 [1,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0]=>110101011010110000 [1,1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0]=>110101011011100000 [1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0]=>110101011100010100 [1,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0]=>110101011100101000 [1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0]=>110101011101000100 [1,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0]=>110101011101001000 [1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]=>110101011101010000 [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]=>110101011110000100 [1,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]=>110101011110001000 [1,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]=>110101011110100000 [1,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>110101011111000000 [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>110101100101010100 [1,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0]=>110101100101011000 [1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0]=>110101100101100100 [1,1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0]=>110101100101101000 [1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0]=>110101100110010100 [1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0]=>110101100110100100 [1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0]=>110101100110101000 [1,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>110101100111100000 [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0]=>110101101001010100 [1,1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0]=>110101101001110000 [1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0]=>110101101010010100 [1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]=>110101101010101000 [1,1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0]=>110101101010110000 [1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0]=>110101101100010100 [1,1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]=>110101101101010000 [1,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>110101101111000000 [1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0]=>110101110001010100 [1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0]=>110101110010010100 [1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0]=>110101110010101000 [1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0]=>110101110100010100 [1,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0]=>110101110100101000 [1,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0]=>110101110101001000 [1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]=>110101110101010000 [1,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>110101111000011000 [1,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]=>110101111000101000 [1,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>110101111000110000 [1,1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0]=>110101111001010000 [1,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]=>110101111010100000 [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>110101111100000100 [1,1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>110101111100010000 [1,1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>110101111100100000 [1,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>110101111101000000 [1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>110101111110000000 [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>110110010101010100 [1,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0]=>110110010101011000 [1,1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0]=>110110010101101000 [1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0]=>110110010110010100 [1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0]=>110110010110100100 [1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0]=>110110010110101000 [1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0]=>110110010111000100 [1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0]=>110110011001010100 [1,1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0]=>110110011001011000 [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>110110011001100100 [1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0]=>110110011001101000 [1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]=>110110011001110000 [1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0]=>110110011011001000 [1,1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>110110011011010000 [1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>110110011100100100 [1,1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>110110011101001000 [1,1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]=>110110011101100000 [1,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>110110011111000000 [1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>110110100101010100 [1,1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0]=>110110100101011000 [1,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0]=>110110100101101000 [1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0]=>110110100110010100 [1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0]=>110110100110100100 [1,1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]=>110110100111100000 [1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]=>110110101001010100 [1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>110110101010100100 [1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>110110101010101000 [1,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>110110101010110000 [1,1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0]=>110110101011010000 [1,1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>110110101011100000 [1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0]=>110110101110000100 [1,1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>110110101111000000 [1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]=>110110110010110000 [1,1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]=>110110110101010000 [1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>110110110110010000 [1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>110110110110100000 [1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]=>110110111001001000 [1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>110110111110000000 [1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]=>110111000101010100 [1,1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0]=>110111000101101000 [1,1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0]=>110111000110101000 [1,1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>110111000111010000 [1,1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0]=>110111001001101000 [1,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]=>110111001010101000 [1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0]=>110111010001010100 [1,1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]=>110111010001110000 [1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0]=>110111010010100100 [1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0]=>110111010010101000 [1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0]=>110111010100010100 [1,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0]=>110111010100101000 [1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]=>110111010101000100 [1,1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0]=>110111010101001000 [1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>110111010101010000 [1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>110111100001010100 [1,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>110111100001110000 [1,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]=>110111100010101000 [1,1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>110111100011100000 [1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>110111100100100100 [1,1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]=>110111100100101000 [1,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>110111100101010000 [1,1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0]=>110111101000011000 [1,1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>110111101001010000 [1,1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>110111101010001000 [1,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>110111101010100000 [1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>110111101101000000 [1,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>110111101110000000 [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>110111110000010100 [1,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>110111110000011000 [1,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>110111110000110000 [1,1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>110111110001001000 [1,1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>110111110001010000 [1,1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>110111110001100000 [1,1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>110111110010100000 [1,1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>110111110011000000 [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>110111110100000100 [1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>110111110100010000 [1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>110111110100100000 [1,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>110111110101000000 [1,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>110111110110000000 [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>110111111000000100 [1,1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>110111111000001000 [1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>110111111000100000 [1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>110111111001000000 [1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>110111111010000000 [1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>110111111100000000 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>111001010101010100 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>111001010101011000 [1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>111001010101100100 [1,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>111001010101101000 [1,1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>111001010101110000 [1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,0]=>111001010110010100 [1,1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>111001010110101000 [1,1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0,0]=>111001011010101000 [1,1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0,0]=>111001011101010000 [1,1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0,0]=>111001011101100000 [1,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0,0]=>111001011110100000 [1,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>111001011111000000 [1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>111001100101010100 [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,0]=>111001100110010100 [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>111001100110011000 [1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0,0]=>111001100110100100 [1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>111001100110110000 [1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,0]=>111001101001010100 [1,1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,0]=>111001101001101000 [1,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,0]=>111001101010101000 [1,1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0,0]=>111001101010110000 [1,1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0,0]=>111001101011100000 [1,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>111001101101100000 [1,1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>111001101111000000 [1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,0]=>111001110001010100 [1,1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0,0]=>111001110010101000 [1,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0,0]=>111001110101010000 [1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,0]=>111001111000010100 [1,1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0,0]=>111001111010100000 [1,1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>111001111011000000 [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>111001111100000100 [1,1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>111001111100001000 [1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>111001111101000000 [1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>111001111110000000 [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>111010010101010100 [1,1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0,0]=>111010010101011000 [1,1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0,0]=>111010010101101000 [1,1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0]=>111010010110101000 [1,1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>111010010111100000 [1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,0]=>111010011001010100 [1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>111010011100100100 [1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>111010011110100000 [1,1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>111010011111000000 [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>111010100101010100 [1,1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0,0]=>111010100101011000 [1,1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0,0]=>111010100101101000 [1,1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0,0]=>111010100101110000 [1,1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,0]=>111010100110101000 [1,1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0,0]=>111010100111100000 [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0]=>111010101001010100 [1,1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0,0]=>111010101001011000 [1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0,0]=>111010101001110000 [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0]=>111010101010010100 [1,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0]=>111010101010011000 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>111010101010100100 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>111010101010101000 [1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>111010101010110000 [1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,0]=>111010101011000100 [1,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,0]=>111010101011001000 [1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0]=>111010101011010000 [1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>111010101011100000 [1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,0]=>111010101100010100 [1,1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0,0]=>111010101100101000 [1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0,0]=>111010101101000100 [1,1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0]=>111010101101010000 [1,1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0]=>111010101101100000 [1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0,0]=>111010101110000100 [1,1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0]=>111010101110100000 [1,1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>111010101111000000 [1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0]=>111010110001010100 [1,1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0,0]=>111010110010101000 [1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0,0]=>111010110100010100 [1,1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0,0]=>111010110101001000 [1,1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0]=>111010110101010000 [1,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>111010110110100000 [1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0]=>111010111000010100 [1,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,0]=>111010111000101000 [1,1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0,0]=>111010111010001000 [1,1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>111010111010100000 [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>111010111100000100 [1,1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>111010111100001000 [1,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>111010111110000000 [1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,0]=>111011000101010100 [1,1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,0]=>111011001010101000 [1,1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0]=>111011001011001000 [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>111011001100100100 [1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>111011001100110000 [1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>111011001101100000 [1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,0]=>111011010001010100 [1,1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0,0]=>111011010010101000 [1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0,0]=>111011010100010100 [1,1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0,0]=>111011010100101000 [1,1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0,0]=>111011010100110000 [1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0,0]=>111011010101000100 [1,1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0,0]=>111011010101001000 [1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>111011010101010000 [1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0]=>111011010101100000 [1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0,0]=>111011011001000100 [1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>111011011010100000 [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>111011011100000100 [1,1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>111011011110000000 [1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>111011100001010100 [1,1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>111011100001011000 [1,1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0,0]=>111011100010101000 [1,1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>111011100011010000 [1,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>111011100011100000 [1,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0]=>111011100100011000 [1,1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0]=>111011101000101000 [1,1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>111011101001001000 [1,1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>111011101010001000 [1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>111011101010010000 [1,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>111011101010100000 [1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>111011101011000000 [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>111011101100000100 [1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>111011101100010000 [1,1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>111011101110000000 [1,1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>111011110000011000 [1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>111011110000101000 [1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>111011110000110000 [1,1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>111011110001010000 [1,1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>111011110001100000 [1,1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>111011110010100000 [1,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>111011110100001000 [1,1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>111011110101000000 [1,1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>111011110110000000 [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>111011111000000100 [1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>111011111000001000 [1,1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>111011111000010000 [1,1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>111011111000100000 [1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>111011111001000000 [1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>111011111010000000 [1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>111011111100000000 [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0]=>111100010101010100 [1,1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0,0]=>111100010101011000 [1,1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0,0]=>111100010101101000 [1,1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0,0]=>111100010101110000 [1,1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0,0]=>111100010110101000 [1,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0]=>111100010111001000 [1,1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0,0]=>111100010111010000 [1,1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0,0]=>111100010111100000 [1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,0]=>111100011001010100 [1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0]=>111100011001100100 [1,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,0]=>111100011001110000 [1,1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0,0]=>111100011011100000 [1,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,0]=>111100011100011000 [1,1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0,0]=>111100011101010000 [1,1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0,0]=>111100011101100000 [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,0]=>111100011110000100 [1,1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0,0]=>111100011110100000 [1,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0]=>111100011111000000 [1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,0]=>111100100101010100 [1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0]=>111100100110011000 [1,1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,0]=>111100100111100000 [1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0,0]=>111100101001010100 [1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0]=>111100101010010100 [1,1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0,0]=>111100101010011000 [1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0,0]=>111100101010100100 [1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0]=>111100101010101000 [1,1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0,0]=>111100101010110000 [1,1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0,0]=>111100101011010000 [1,1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0,0]=>111100101011100000 [1,1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0,0]=>111100101100110000 [1,1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0,0]=>111100101101001000 [1,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0]=>111100101101100000 [1,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0,0]=>111100101110001000 [1,1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0,0]=>111100110010101000 [1,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0]=>111100110101010000 [1,1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0,0]=>111100111010100000 [1,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0]=>111100111100001000 [1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0,0]=>111100111100100000 [1,1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0,0]=>111100111101000000 [1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0]=>111100111110000000 [1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0]=>111101000101010100 [1,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,0]=>111101000111010000 [1,1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,0]=>111101000111100000 [1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0]=>111101001001100100 [1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0,0]=>111101001010100100 [1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0]=>111101001010101000 [1,1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0,0]=>111101001011010000 [1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0]=>111101001111000000 [1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0]=>111101010001010100 [1,1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0,0]=>111101010001011000 [1,1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0,0]=>111101010001101000 [1,1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0,0]=>111101010001110000 [1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0,0]=>111101010010010100 [1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0]=>111101010010011000 [1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0,0]=>111101010010100100 [1,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0]=>111101010010101000 [1,1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0,0]=>111101010011100000 [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0]=>111101010100010100 [1,1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0,0]=>111101010100011000 [1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0,0]=>111101010100100100 [1,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0,0]=>111101010100101000 [1,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0]=>111101010100110000 [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0]=>111101010101000100 [1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0]=>111101010101001000 [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>111101010101010000 [1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0]=>111101010101100000 [1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,0]=>111101010110000100 [1,1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0,0]=>111101010110010000 [1,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0]=>111101010110100000 [1,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0]=>111101010111000000 [1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,0]=>111101011000010100 [1,1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0,0]=>111101011000011000 [1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0]=>111101011001010000 [1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0,0]=>111101011010000100 [1,1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,0]=>111101011010010000 [1,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0]=>111101011010100000 [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0,0]=>111101011100000100 [1,1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0]=>111101011101000000 [1,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0]=>111101011110000000 [1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0,0]=>111101100001010100 [1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0]=>111101100100100100 [1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0]=>111101100101100000 [1,1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0,0]=>111101101001010000 [1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0]=>111101101010001000 [1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0]=>111101101010100000 [1,1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0]=>111101101011000000 [1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0]=>111101101101000000 [1,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0,0]=>111101101110000000 [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0,0]=>111101110000010100 [1,1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0,0]=>111101110000011000 [1,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0,0]=>111101110000101000 [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0,0]=>111101110001000100 [1,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0]=>111101110001010000 [1,1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,0]=>111101110001100000 [1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0]=>111101110010001000 [1,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,0]=>111101110010100000 [1,1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0,0]=>111101110011000000 [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0]=>111101110100000100 [1,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,0]=>111101110100010000 [1,1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0]=>111101110101000000 [1,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0,0]=>111101110110000000 [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0]=>111101111000000100 [1,1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,0]=>111101111000001000 [1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0]=>111101111000010000 [1,1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0,0]=>111101111001000000 [1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0]=>111101111010000000 [1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0]=>111101111100000000 [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,0]=>111110000101010100 [1,1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0,0]=>111110000101101000 [1,1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0,0]=>111110000101110000 [1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0]=>111110000110010100 [1,1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0,0]=>111110000111010000 [1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0]=>111110000111100000 [1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,0]=>111110001001010100 [1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0,0]=>111110001010010100 [1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0,0]=>111110001010100100 [1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0,0]=>111110001010101000 [1,1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0,0]=>111110001010110000 [1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0]=>111110001011001000 [1,1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0,0]=>111110001011100000 [1,1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0,0]=>111110001100110000 [1,1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0]=>111110001110001000 [1,1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0,0]=>111110001110100000 [1,1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,0]=>111110001111000000 [1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,0]=>111110010001010100 [1,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0,0]=>111110010001110000 [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0]=>111110010010010100 [1,1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,0]=>111110010010101000 [1,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0]=>111110010101001000 [1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0]=>111110010101010000 [1,1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0,0]=>111110010101100000 [1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0]=>111110010110001000 [1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0]=>111110011001100000 [1,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0]=>111110011010100000 [1,1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0,0]=>111110011011000000 [1,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0,0]=>111110011100010000 [1,1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0,0]=>111110011101000000 [1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,0]=>111110100001010100 [1,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0]=>111110100001011000 [1,1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0,0]=>111110100001110000 [1,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0,0]=>111110100010101000 [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0]=>111110100100100100 [1,1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0,0]=>111110100100101000 [1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0]=>111110100101010000 [1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0]=>111110100110001000 [1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0]=>111110100110100000 [1,1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0,0]=>111110100111000000 [1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0]=>111110101000100100 [1,1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0,0]=>111110101000101000 [1,1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0,0]=>111110101001010000 [1,1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,0]=>111110101001100000 [1,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0]=>111110101010001000 [1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0]=>111110101010010000 [1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>111110101010100000 [1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0]=>111110101011000000 [1,1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0,0]=>111110101100100000 [1,1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0]=>111110101101000000 [1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0]=>111110101110000000 [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0,0]=>111110110000010100 [1,1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0,0]=>111110110000101000 [1,1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0,0]=>111110110010100000 [1,1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0]=>111110110011000000 [1,1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0,0]=>111110110100100000 [1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0]=>111110110101000000 [1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0]=>111110110110000000 [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0]=>111110111000000100 [1,1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0]=>111110111000001000 [1,1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0]=>111110111000010000 [1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0]=>111110111000100000 [1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0]=>111110111001000000 [1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0]=>111110111010000000 [1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0]=>111110111100000000 [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0]=>111111000001010100 [1,1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0,0]=>111111000001011000 [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,0]=>111111000001100100 [1,1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0,0]=>111111000001101000 [1,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0]=>111111000001110000 [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,0]=>111111000010010100 [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0,0]=>111111000010100100 [1,1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0,0]=>111111000011010000 [1,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0]=>111111000011100000 [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,0]=>111111000100010100 [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0]=>111111000100100100 [1,1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0]=>111111000101010000 [1,1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0]=>111111000101100000 [1,1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0,0]=>111111000110001000 [1,1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0,0]=>111111000110100000 [1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0]=>111111000111000000 [1,1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0]=>111111001000011000 [1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0]=>111111001001001000 [1,1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0,0]=>111111001001010000 [1,1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0,0]=>111111001001100000 [1,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0,0]=>111111001010010000 [1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0]=>111111001010100000 [1,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0]=>111111001011000000 [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,0]=>111111001100000100 [1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0,0]=>111111001100100000 [1,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0]=>111111001101000000 [1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0]=>111111001110000000 [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,0]=>111111010000010100 [1,1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0,0]=>111111010000011000 [1,1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0,0]=>111111010000101000 [1,1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0,0]=>111111010001010000 [1,1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0,0]=>111111010001100000 [1,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0]=>111111010010001000 [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0]=>111111010010010000 [1,1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0]=>111111010010100000 [1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0]=>111111010011000000 [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,0]=>111111010100000100 [1,1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0,0]=>111111010100001000 [1,1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0]=>111111010100010000 [1,1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0,0]=>111111010100100000 [1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]=>111111010101000000 [1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0]=>111111010110000000 [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0]=>111111011000000100 [1,1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0,0]=>111111011000001000 [1,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0]=>111111011000100000 [1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0]=>111111011001000000 [1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0]=>111111011010000000 [1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]=>111111011100000000 [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0]=>111111100000010100 [1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0]=>111111100000011000 [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0]=>111111100000100100 [1,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0,0]=>111111100000101000 [1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0]=>111111100000110000 [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0,0]=>111111100001000100 [1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0]=>111111100001100000 [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,0]=>111111100010000100 [1,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0]=>111111100010001000 [1,1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0]=>111111100010100000 [1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0]=>111111100011000000 [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0]=>111111100100000100 [1,1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0,0]=>111111100100001000 [1,1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0,0]=>111111100100010000 [1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0]=>111111100100100000 [1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0]=>111111100101000000 [1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0]=>111111100110000000 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0]=>111111101000000100 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0]=>111111101000001000 [1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0]=>111111101000010000 [1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0]=>111111101000100000 [1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0]=>111111101001000000 [1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>111111101010000000 [1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>111111101100000000 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>111111110000000100 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>111111110000001000 [1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0]=>111111110000010000 [1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>111111110000100000 [1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>111111110001000000 [1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>111111110010000000 [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>111111110100000000 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>111111111000000000 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>101010101010101010 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>101010101010101100 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>101010101010110100 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>101010101011010100 [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>101010101101010100 [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>101010110101010100 [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>101011010101010100 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>101101010101010100 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>101010101010111000 [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>101010101011100100 [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>101010101110010100 [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>101010111001010100 [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>101011100101010100 [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>101110010101010100 [1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>101010101011101000 [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>101010101110100100 [1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>101010101011110000 [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>101010111010010100 [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>101010101111000100 [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>101011101001010100 [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>101010111100010100 [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>101110100101010100 [1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>101010101110101000 [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>101010111010100100 [1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>101010101110110000 [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>101011101010010100 [1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>101010101111010000 [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]=>101110101001010100 [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>101011101100010100 [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>101010111101000100 [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>101011110100010100 [1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0]=>101111010001010100 [1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>101010111010101000 [1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>101010111010110000 [1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>101010101111100000 [1,0,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>101010111011010000 [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0]=>101110101100010100 [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>101011111000010100 [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>101011101101000100 [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>101011110101000100 [1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>101011101010101000 [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>101110101010100100 [1,0,1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>101011101010110000 [1,0,1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>101010111110010000 [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]=>101110111000010100 [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0]=>101110101101000100 [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>101011111001000100 [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]=>101111010101000100 [1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>101110101010101000 [1,0,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>101110101010110000 [1,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>101010111110100000 [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>101011111010000100 [1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>101010111111000000 [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]=>101110111001000100 [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>101111110000010100 [1,0,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]=>101110110101010000 [1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>101111010101010000 [1,0,1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>101011101110100000 [1,0,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>101011111100010000 [1,0,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>101011111010100000 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>101010101010110010 [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>101010101011001010 [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>101010101011001100 [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>101010101011100010 [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>101010101100101010 [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>101010101100101100 [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>101010101100110010 [1,0,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>101010101100111000 [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>101010101110001010 [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>101010101110001100 [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>101010101111000010 [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>101010110010101010 [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>101010110010110010 [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>101010110011001010 [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>101010110011001100 [1,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>101010110011110000 [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>101010111000101010 [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>101010111000110010 [1,0,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>101010111000111000 [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>101010111110000010 [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>101011001010101010 [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>101011001010101100 [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>101011001010110010 [1,0,1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>101011001010111000 [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>101011001011001100 [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>101011001100101010 [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>101011001100110010 [1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>101011001100111000 [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>101011001110001100 [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>101011001111000010 [1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>101011001111100000 [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>101011100010101010 [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>101011100011001100 [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>101011110000101010 [1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>101011110000111000 [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>101011111000001010 [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>101011111000001100 [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>101011111100000010 [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>101100101010101010 [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>101100101010101100 [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>101100101010110010 [1,0,1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>101100101010111000 [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>101100101011001010 [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>101100101100101010 [1,0,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>101100101111100000 [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>101100110010101010 [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>101100110010101100 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>101100110011001010 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>101100110011001100 [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>101100110011100010 [1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>101100110011110000 [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>101100111000101010 [1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>101100111000111000 [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>101100111110000010 [1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>101100111111000000 [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>101110001010101010 [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]=>101110001100110010 [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0]=>101110001110001010 [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]=>101110001110001100 [1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>101110001111100000 [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]=>101111000010101010 [1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0]=>101111000010111000 [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0]=>101111000011001010 [1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>101111000011110000 [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>101111100000101010 [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>101111100000111000 [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>101111110000001010 [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>101111110000001100 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>110010101010101010 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>110010101010101100 [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>110010101010110010 [1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>110010101010111000 [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>110010101011001010 [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>110010101011001100 [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>110010101011100010 [1,1,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>110010101011110000 [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>110010101100101010 [1,1,0,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>110010101100111000 [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>110010101111000010 [1,1,0,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>110010101111100000 [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>110010110010101010 [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>110010110011001100 [1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>110010111000111000 [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>110010111110000010 [1,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>110010111111000000 [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>110011001010101010 [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>110011001010101100 [1,1,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>110011001011110000 [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>110011001100101010 [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>110011001100101100 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>110011001100110010 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>110011001100111000 [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>110011001110001010 [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>110011001110001100 [1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>110011001111100000 [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>110011100010101010 [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>110011100011100010 [1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>110011100011110000 [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>110011110000101010 [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>110011110000111000 [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>110011111000001010 [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>110011111000001100 [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>110011111100000010 [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>111000101010101010 [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>111000101010101100 [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>111000101010110010 [1,1,1,0,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>111000101010111000 [1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>111000101100101100 [1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>111000101100110010 [1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>111000101111000010 [1,1,1,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>111000101111100000 [1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>111000110010101010 [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>111000110011001100 [1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>111000111000101010 [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>111000111000111000 [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>111000111100001100 [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>111000111110000010 [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>111000111111000000 [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0]=>111100001010101010 [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,1,0,0]=>111100001010101100 [1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,0,0]=>111100001010111000 [1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0,1,0]=>111100001011100010 [1,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0]=>111100001011110000 [1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,1,0]=>111100001100101010 [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0]=>111100001100110010 [1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0]=>111100001100111000 [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,0]=>111100001110001010 [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0]=>111100001110001100 [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0]=>111100001111000010 [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]=>111100001111100000 [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0]=>111110000010101010 [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,1,0,0]=>111110000010101100 [1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0]=>111110000010110010 [1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0]=>111110000010111000 [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0]=>111110000011001010 [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0]=>111110000011100010 [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]=>111110000011110000 [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0]=>111111000000101010 [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0]=>111111000000101100 [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0]=>111111000000110010 [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0]=>111111000000111000 [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>110100101010101010 [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>110101001010101010 [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>110101010010101010 [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>110101010100101010 [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>110101010101001010 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>110101010101010010 [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>110110001010101010 [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]=>110101100010101010 [1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]=>110101011000101010 [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0]=>110101010110001010 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]=>110101010101100010 [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>110010101010110100 [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>110100101010110100 [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>101100101010110100 [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>110100101010101100 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>111010101010100010 [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0]=>111010101010001010 [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0]=>111010101000101010 [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>111010100010101010 [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>111010001010101010 [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0]=>111111000001001010 [1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,1,0]=>111110000100101010 [1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0]=>111100010010101010 [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>111001001010101010 [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0]=>111010101010001100 [1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>110011101010101000 [1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>110110101010100010 [1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>110100111111000000 [1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>111010001111100000 [1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0]=>111101000011110000 [1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0]=>111110100000111000 [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>101101010010101010 [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>101011010010101010 [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0]=>110101010010101100 [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>110011010010101010 [1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]=>101111001010101000 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>111001010101010010 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>101101010101011000 [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>110101010101001100 [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>110011010101010100 [1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]=>110101010100111000 [1,1,0,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]=>110101010011110000 [1,1,0,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0]=>110101001111010000 [1,1,0,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>110100111101010000 [1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>110011110101010000 [1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>110011011111000000 [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>111011110000001100 [1,1,1,0,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>111000111011100000 [1,1,1,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0]=>111101100000111000 [1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0]=>111100001111010000 [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0]=>111111000000110100 [1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0]=>111110000011101000 [1,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>111000111110100000 [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>101011001011010100 [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,1,0,0]=>111111000001001100 [1,1,0,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>110011111100001000 [1,1,1,1,1,0,0,0,1,0,0,0,1,1,1,0,0,0]=>111110001000111000 [1,1,1,0,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>111000111110010000 [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>101010101101010010 [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>101010101101001010 [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>110010101101010100 [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>101010101101001100 [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0]=>110101010100110010 [1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0]=>110101010011001010 [1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0]=>110101001100101010 [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>110100110010101010 [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]=>110110001100110010 [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]=>110110011000110010 [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]=>110110011001100010 [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>110110011001001100 [1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>110110010011001100 [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>110100110011001100 [1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0]=>110111001000110010 [1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0]=>110110011100100010 [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0]=>110110011001001010 [1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>110110010011100100 [1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>110100111001001100 [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>101110010011001100 [1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0]=>110101001011010100 [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0]=>111101010101000010 [1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0]=>111010101011000010 [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>110100101010110010 [1,0,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>101011011111000000 [1,0,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>101010110111100000 [1,0,1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>101010101101110000 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>101010101011011000 [1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>111000110101010100 [1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,1,0,0]=>111100001101010100 [1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0]=>111101000011010100 [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,1,0,0]=>111101010000110100 [1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,1,0,0]=>111101010100001100 [1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0]=>110101101010001010 [1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0]=>110101001011001010 [1,1,1,0,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>111000111101010000 [1,1,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,0]=>111000111101001000 [1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0,1,0]=>111100001101010010 [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0]=>101110001101010100 [1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,1,0]=>111110100000101010 [1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0]=>111101000010101010 [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0]=>111110100000110100 [1,0,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>101110011111000000 [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,1,0,0]=>111010001010101100 [1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,1,0,0]=>111101000010101100 [1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,1,0,0]=>111110100000101100 [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>101010101110100010 [1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]=>101101010110010100 [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>101011101010001010 [1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>101011011001010100 [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>101101001010101010 [1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>110100110101010100 [1,0,1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0]=>101111001010110000 [1,0,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>101011110010110000 [1,0,1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>101010111100110000 [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0]=>101110101000101010 [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>101011101000101010 [1,1,1,0,1,0,1,0,0,0,1,1,1,0,1,0,0,0]=>111010100011101000 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>101010101011010010 [1,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>101010110101011000 [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0]=>110101010100101100 [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>101101010101001100 [1,0,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>101011010101011000 [1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0,1,0]=>111010010010101010 [1,0,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>101011111000011000 [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]=>101101111000001100 [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>110011111000010010 [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,1,0]=>111001111000001010 [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>110011011000101010 [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>110011001101100010 [1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>111011000011001100 [1,1,0,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>110100111110100000 [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>110011111010000010 [1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0,1,0]=>111100101011000010 [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>110011111100000100 [1,1,0,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]=>110100110101110000 [1,1,0,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>110011010101011000 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>101101010101010010 [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>101011010011010100 [1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0]=>101101010100110100 [1,1,1,0,1,0,1,0,1,0,0,0,1,1,1,0,0,0]=>111010101000111000 [1,1,1,0,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>111010100011110000 [1,1,0,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>110101001111100000 [1,0,1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>101011010011110000 [1,0,1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>101011011110100000 [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>101011011110000010 [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0]=>110101010110010010 [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0]=>110101010110100010 [1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0]=>110101010011010010 [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0]=>110101010111000010 [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0]=>101110101001010010 [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0]=>101111010101000010 [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>110010110101010100 [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>110010101011010010 [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0]=>110100101011010010 [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0]=>101100101011010010 [1,0,1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>101010101101101000 [1,0,1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>101010110110101000 [1,0,1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>101011011010101000 [1,0,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]=>101101101010101000 [1,1,1,0,1,0,0,0,1,0,1,1,1,0,1,0,0,0]=>111010001011101000 [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0]=>110101010100110100 [1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,1,0,0]=>111101100000101100 [1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,1,0,0]=>111100001010110100 [1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0,1,0]=>111110100001001010 [1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0,1,0]=>111101100001001010 [1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0,1,0]=>111110000101001010 [1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0,1,0]=>111101010100001010 [1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0,1,0]=>111101010001001010 [1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0,1,0]=>111101000100101010 [1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0]=>110111011000100010 [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0]=>101110010010101010 [1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0]=>110101001010110010 [1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>101011100101001010 [1,0,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>101100111110100000 [1,0,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]=>101100101111010000 [1,0,1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0]=>101100101011101000 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>110011001100110100 [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>110011001101001010 [1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>111010010011001100 [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,0]=>111010001100110010 [1,1,1,0,0,1,1,0,0,0,1,1,1,1,0,0,0,0]=>111001100011110000 [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>111000111110000100 [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>101010101101100100 [1,0,1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>101010110111001000 [1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>101011011110010000 [1,0,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>101101011111000000 [1,1,0,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0]=>110101011000111000 [1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0]=>110101011100001100 [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0]=>110101011110000010 [1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,1,0]=>111101010100100010 [1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,1,0]=>111011010101000010 [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0]=>111111000100001010 [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>101010101101100010 [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>101010110100101010 [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>110010101011010100 [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]=>101101100010101010 [1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>101011011000101010 [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>101010110110001010 [1,1,1,1,1,0,0,1,0,0,0,0,1,1,1,0,0,0]=>111110010000111000 [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>110100101100101010 [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>111001010100101010 [1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0]=>110101100101001010 [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>110010111101000100 [1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,1,0,0]=>111000101110100100 [1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,1,0,0]=>111100001011010100 [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0]=>110101001101010100 [1,0,1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>101010101110011000 [1,0,1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>101011110001110000 [1,0,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>101010111100011000 [1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0,1,0]=>111100110000101010 [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>110011110010001010 [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>110011001110100010 [1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0]=>110110010010101010 [1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>111001010010101010 [1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,1,0]=>111010101100001010 [1,0,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>101111100001110000 [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0]=>101101001100101010 [1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0]=>110100110100101010 [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>110010110100101010 [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,1,0]=>111110000111000010 [1,0,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>101101010101101000 [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>101011010101001010 [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>101011100101010010 [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>101010110101001010 [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>101010111001010010 [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0]=>101110101010001010 [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0]=>101100110101001010 [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0]=>101111001010100010 [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0]=>101110001101010010 [1,1,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0]=>111100011000111000 [1,0,1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>101111000110011000 [1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,0]=>111101000011001100 [1,0,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>101111110000011000 [1,0,1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>101011010101110000 [1,1,0,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]=>110100101111010000 [1,1,0,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>110010101111010000 [1,1,1,0,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>111000111110001000 [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0]=>101101010100101100 [1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0]=>110111010101000010 [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,1,0]=>111101010100010010 [1,0,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]=>101101110101010000 [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>111001001100110010 [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0]=>111001100100110010 [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0]=>111001100110010010 [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>111001100110001100 [1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>111001100011001100 [1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,0]=>111011000100110010 [1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,0]=>111001101100010010 [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,1,0]=>111001100110001010 [1,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>111001100011011000 [1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>111000110110001100 [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>101101100011001100 [1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0]=>110111011000001010 [1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0]=>110111010010100010 [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0]=>110111010010001010 [1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0]=>110111010000101010 [1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0]=>110101111000100010 [1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0]=>110101111000001010 [1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0]=>110101110010100010 [1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0]=>110101110010001010 [1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0]=>110101110000101010 [1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0]=>110101011010100010 [1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0]=>110101011010001010 [1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>110010101101110000 [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,1,0]=>111010010101010010 [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0]=>110110010101010010 [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>101010110111000010 [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>101101111100000010 [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]=>101101010101100010 [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]=>110101001010101100 [1,0,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>101011110010101000 [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0]=>110101010010110010 [1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]=>110101001011010010 [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0]=>110100101101010010 [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>110010110101010010 [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>101011010101010010 [1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]=>110101001010110100 [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]=>110100101011010100 [1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0,1,0]=>111010100100101010 [1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0,1,0]=>111010101001001010 [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0]=>111010101010010010 [1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0,1,0]=>111101100000101010 [1,1,0,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>110100101111100000 [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>110101111100000010 [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,1,0]=>111111000001100010 [1,0,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0]=>101111010101001000 [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>101010101110010010 [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>101010111010001010 [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>101010111100100010 [1,1,1,0,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>111011100000111000 [1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,1,0,0]=>111110000011010100 [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,1,0,0]=>111110000011100100 [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>101101010101100100 [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>111001111100000010 [1,0,1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0]=>101111010100101000 [1,1,0,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>110011110001110000 [1,1,0,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>110111000011110000 [1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0]=>110111000111000010 [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,1,0,0]=>111000111000110100 [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>110011010101010010 [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>101100110011100100 [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>101100111001100100 [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>101110011001100100 [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>110011011001100100 [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>110011001101100100 [1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]=>101100111011000100 [1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]=>101110110001100100 [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>101011011001100100 [1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0]=>110110001101100100 [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>110011011000110100 [1,0,1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>101010101111001000 [1,0,1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>101010111100101000 [1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0]=>111110000010110100 [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>111000101010110100 [1,1,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0]=>111101010000111000 [1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0,1,0]=>111101000101010010 [1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>101101100101010100 [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>110011001101010100 [1,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0]=>101100111010101000 [1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0,1,0]=>111101001011000010 [1,1,0,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>110010101011101000 [1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0,1,0]=>111010001010110010 [1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>101011011010001010 [1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0]=>111010100011001010 [1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0,1,0]=>111100010101001010 [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]=>110100101101010100 [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>101100110101010100 [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>101011001101010100 [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>101010110011010100 [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>101010101100110100 [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>101010111001100010 [1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>101011011000110010 [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0]=>101100111001001010 [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0]=>101110011000101010 [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]=>101100101101010100 [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>101101010101001010 [1,1,0,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0]=>110110010011011000 [1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>110100110110110000 [1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>101101101101100000 [1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0]=>110110011000101010 [1,1,0,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0]=>110100111001011000 [1,0,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0]=>101110010110110000 [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>101101111100000100 [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>101011010100101100 [1,1,1,0,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>111011000011110000 [1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>110110001111100000 [1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,1,0]=>111100101010100010 [1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>101010101101011000 [1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>110110100010101010 [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,1,0]=>111010100101010010 [1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>101101111000011000 [1,0,1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>101110111000110000 [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>101111101000001100 [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>110011111010000100 [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>101011111010000010 [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]=>101111101000001010 [1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>110111101000001100 [1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>101011100111000100 [1,1,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,0]=>111101000011101000 [1,0,1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0]=>101100101110011000 [1,0,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>101011100110011000 [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>101100111001001100 [1,1,0,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0]=>110101001011110000 [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>111001010101001010 [1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0,1,0]=>111011000010101010 [1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,1,0]=>111010110000101010 [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>101010110110001100 [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>101010111001001100 [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>101011110010001100 [1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>101011010110001100 [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>101011101001001100 [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>101011110001001100 [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>101110101010100010 [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>101011101010100010 [1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0]=>111011101000100010 [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]=>101101001011010010 [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>101011001011010010 [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0]=>101101001010110010 [1,1,1,0,0,0,1,1,1,0,1,0,1,0,1,0,0,0]=>111000111010101000 [1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0,1,0]=>111100101010001010 [1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0]=>110100110100111000 [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>110011110001001100 [1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>110011100100111000 [1,1,0,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>110011010011110000 [1,0,1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>101011101000111000 [1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>101111100010001100 [1,0,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]=>101111001000111000 [1,0,1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>101110100011110000 [1,1,0,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0]=>110101001110101000 [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0]=>110101001101010010 [1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0]=>110100110101010010 [1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0]=>110101010011100010 [1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0]=>110101001110010010 [1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0]=>110100111001010010 [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>110011100101010010 [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0]=>101110010101010010 [1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0]=>110101001110100010 [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0]=>110100111010010010 [1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0]=>110101001111000010 [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>110011101001010010 [1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0]=>110100111100010010 [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0]=>101110100101010010 [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>110011110001010010 [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0]=>101111000101010010 [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0]=>111011001000110010 [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,1,0]=>111011001100100010 [1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0]=>111011001100010010 [1,0,1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0]=>101101010110011000 [1,0,1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0]=>101110010110011000 [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0]=>110101010110001100 [1,1,0,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>110011010110011000 [1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0]=>101110101011000010 [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,1,0,0]=>111100001111000100 [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>101110100010101010 [1,1,0,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>110100101011110000 [1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0,1,0]=>111100011000110010 [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0]=>111100110000110010 [1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0]=>110110110000110010 [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0]=>111100100100110010 [1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0]=>110110100100110010 [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0]=>101110101010001100 [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,1,0,0]=>111010101000101100 [1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0,1,0]=>111010010101001010 [1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0]=>110101101010010010 [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0]=>110101011001010010 [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>110011010101001010 [1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>110100111110000010 [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,1,0]=>111010001111000010 [1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0,1,0]=>111101000011100010 [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0]=>111110100000110010 [1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0]=>111001001111000010 [1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0,1,0]=>111100100011100010 [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0]=>101101001111000010 [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,1,0]=>111110010000110010 [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0]=>101110100011100010 [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0]=>101111010000110010 [1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]=>110101010011010100 [1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0,1,0]=>111010101000110010 [1,0,1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0]=>101111001011010000 [1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,1,0,0]=>111000101101010100 [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]=>101100101011010100 [1,0,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>101101010101110000 [1,0,1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>101101010110101000 [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>110011011001001100 [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>110011011000110010 [1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0]=>111011001001100010 [1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0,1,0]=>111001101100100010 [1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>110011011001010010 [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0]=>111001001101100010 [1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0,1,0]=>111001011000110010 [1,0,1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>101011010101101000 [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0]=>101101111010000100 [1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0,1,0]=>111100011100001010 [1,1,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>110111100000111000 [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>111001010101001100 [1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0]=>110110010101001010 [1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>101100110011011000 [1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>101100110110011000 [1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>101101100110011000 [1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>110011100110011000 [1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>110011001110011000 [1,0,1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0]=>101100110111001000 [1,0,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0]=>101101110010011000 [1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,0]=>111001001110011000 [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>110011001110010010 [1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0]=>110101011001001010 [1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0]=>110101100100101010 [1,0,1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>101010110111010000 [1,0,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]=>101111001101010000 [1,0,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]=>101111100101001000 [1,0,1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>101111001101100000 [1,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>111000110110110000 [1,0,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0]=>101110101010011000 [1,0,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0]=>101101101010110000 [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0]=>101111001010100100 [1,0,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0]=>101110011010101000 [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>110011110001100010 [1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0]=>111100100011001100 [1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0]=>111000111010001100 [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>101110011001001100 [1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,1,0]=>111101010010001010 [1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0,1,0]=>111101010010100010 [1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0]=>110110011011000010 [1,1,0,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0]=>110100111010110000 [1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>110110100011110000 [1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0,1,0]=>111001100101100010 [1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0,1,0]=>111100100101100010 [1,0,1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0]=>101110100110011000 [1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0]=>111100101100010010 [1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0]=>101100101110110000 [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>110011101100010010 [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>101101100110001100 [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0]=>101101100110010010 [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0]=>101101100100110010 [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>101101001100110010 [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0]=>101101110010001100 [1,0,1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0]=>101101100111001000 [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0]=>101101100110010100 [1,0,1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0]=>101101100100111000 [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0]=>101101001110010010 [1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>101011100100110010 [1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]=>101101110011001000 [1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]=>101101110110001000 [1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,1,0]=>111010101001100010 [1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0]=>110110101011000010 [1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,1,0]=>111100101010010010 [1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,1,0]=>111001101010100010 [1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0]=>111101010000101010 [1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,1,0,0]=>111001101001001100 [1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,0]=>111001100100111000 [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0]=>111001001110010010 [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>110011100100110010 [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>101100110110001100 [1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>101011010110001010 [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>101011010010101100 [1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>111001110100100010 [1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,1,0]=>111001011010100010 [1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0,1,0]=>111100011010100010 [1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0,1,0]=>111001110100001010 [1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0,1,0]=>111001011010001010 [1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0,1,0]=>111100011010001010 [1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0,1,0]=>111111000010001010 [1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0,1,0]=>111100010100101010 [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0]=>111010101001010010 [1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,1,0,0]=>111010101001001100 [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>110011101001010100 [1,1,0,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>110011110010101000 [1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0]=>111011100100010010 [1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,0]=>111011000110010010 [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0]=>101110100110001100 [1,0,1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0]=>101101010011011000 [1,0,1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0]=>101101001011011000 [1,0,1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0]=>101100101011011000 [1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,1,0]=>111011010110000010 [1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,1,0]=>111101010011000010 [1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>101011110100001010 [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0]=>111110010010010010 [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0]=>111100100100110100 [1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0]=>111001001110100100 [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>110011110100100100 [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>101111100100100100 [1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>110100111100100100 [1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>111010010011100100 [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0]=>111101001001001100 [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,1,0,0]=>111001001101100100 [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>110011101100100100 [1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0]=>101111010100100100 [1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>111000111100100100 [1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>111010011001001100 [1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,1,0,0]=>111010100011001100 [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>110111110000010010 [1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0]=>110110001101100010 [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0]=>101110101010010010 [1,0,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]=>101110111000101000 [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]=>101101111000010100 [1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>110101001100110010 [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>110010101011100100 [1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,1,0,0]=>111010001101010100 [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0]=>101101110011000100 [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0]=>101101110001001100 [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0]=>101101010011001100 [1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0]=>111101100010001100 [1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0]=>111101010001001100 [1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0]=>110101010011001100 [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>110100101100110010 [1,1,1,0,0,0,1,1,0,1,0,1,1,0,1,0,0,0]=>111000110101101000 [1,1,1,0,0,1,0,1,0,0,1,1,1,0,1,0,0,0]=>111001010011101000 [1,1,1,0,0,0,1,0,1,0,1,1,1,0,1,0,0,0]=>111000101011101000 [1,1,1,1,0,0,0,0,1,0,1,1,1,0,1,0,0,0]=>111100001011101000 [1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0]=>110110010110001100 [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0]=>110110011000110100 [1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0]=>101101011101000100 [1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0]=>101101110101000100 [1,1,0,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>110011111001010000 [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>110011100101010100 [1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0]=>111110001010010010 [1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0,1,0]=>111110010001010010 [1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0,1,0]=>111110001001010010 [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0,1,0]=>111110000101010010 [1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,1,0]=>111110010010001010 [1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0,1,0]=>111110001010001010 [1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0,1,0]=>111110010001001010 [1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,1,0]=>111110001001001010 [1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0,1,0]=>111110010000101010 [1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,1,0]=>111110001000101010 [1,0,1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>101011110011010000 [1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0]=>111101101000010010 [1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0]=>110100110101001010 [1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0]=>110101110000110100 [1,1,0,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0]=>110101001101110000 [1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0]=>110110011100001100 [1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0]=>110111100001001100 [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>110011011100010100 [1,1,0,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>110011010101110000 [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>110011100111000100 [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>110011111000010100 [1,1,0,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>110011010111100000 [1,1,1,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0]=>111010001110101000 [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0]=>101101101100001100 [1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>101101100110110000 [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>101010110010110100 [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0]=>111110001000110010 [1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0]=>111101000100110010 [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,0]=>111101001001001010 [1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0]=>101101111001001000 [1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]=>101101101110010000 [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>101011110010010010 [1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0]=>110111100100100010 [1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0]=>111101000100110100 [1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,1,0,0]=>111100010011010100 [1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,1,0,0]=>111001001101010100 [1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>110101100011001100 [1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0]=>111100010011001100 [1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0]=>101110101100001010 [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0]=>101110110000101010 [1,0,1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>101010110101101000 [1,0,1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>101011010111010000 [1,0,1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]=>101101011110100000 [1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]=>110111000011100010 [1,1,0,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>110011011000111000 [1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0]=>110111000110001010 [1,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>111000110011011000 [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>110011011001100010 [1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,1,0,0]=>111010001110001100 [1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0,1,0]=>111000101011010010 [1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>101011010111000100 [1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0]=>101101110000110100 [1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0]=>101101011000110100 [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>101010111010100010 [1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>111001001111100000 [1,1,1,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0]=>111100010011110000 [1,1,1,1,1,0,0,0,0,1,0,0,1,1,1,0,0,0]=>111110000100111000 [1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0]=>111101100010010010 [1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0]=>110111001100010010 [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0]=>101111001001100010 [1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0]=>110110010011001010 [1,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,0]=>111100001101110000 [1,1,1,0,0,1,1,1,0,0,0,0,1,1,1,0,0,0]=>111001110000111000 [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,1,0,0]=>111110001100001100 [1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>110011111001100000 [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0]=>101101101010100010 [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>101011001010110100 [1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0]=>110101010011100100 [1,0,1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]=>101101010100111000 [1,0,1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0]=>101101010010111000 [1,0,1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0]=>101111010100011000 [1,0,1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0]=>101101001010111000 [1,0,1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0]=>101110100011011000 [1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0]=>101110001011011000 [1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0]=>110111101000010010 [1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0]=>110110010010110010 [1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0]=>110101110100001010 [1,0,1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]=>101111011000101000 [1,0,1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0]=>101111010010101000 [1,0,1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>101101101111000000 [1,0,1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0]=>101101101011100000 [1,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]=>101101101101010000 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>11111111100000000010 [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>10111111111000000000 [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0]=>11111111010000000010 [1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>10111111110100000000 [1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0]=>11111111001000000010 [1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0]=>11111110110000000010 [1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>10111111110010000000 [1,0,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>10111111101100000000 [1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,1,0]=>11111111000100000010 [1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,1,0]=>11111110101000000010 [1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0]=>11111101110000000010 [1,0,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>10111111110001000000 [1,0,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>10111111101010000000 [1,0,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]=>10111111011100000000 [1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0]=>11111111000010000010 [1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,1,0]=>11111110100100000010 [1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0]=>11111101101000000010 [1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>11111011110000000010 [1,0,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>10111111110000100000 [1,0,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0]=>10111111101001000000 [1,0,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0]=>10111111100110000000 [1,0,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0]=>10111111011010000000 [1,0,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0]=>10111110111100000000 [1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,1,0]=>11111111000001000010 [1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0]=>11111110010100000010 [1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,1,0]=>11111101011000000010 [1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>11110111110000000010 [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0]=>10111111110000010000 [1,0,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0]=>10111111100101000000 [1,0,1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0]=>10111111011001000000 [1,0,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0]=>10111111010110000000 [1,0,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0]=>10111101111100000000 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0]=>11111111000000100010 [1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0]=>11111110001100000010 [1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0]=>11111101010100000010 [1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,0]=>11111100111000000010 [1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>11101111110000000010 [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>10111111110000001000 [1,0,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0]=>10111111100011000000 [1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]=>10111111010101000000 [1,0,1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0]=>10111110110110000000 [1,0,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>10111011111100000000 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0]=>11111111000000010010 [1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>11011111110000000010 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]=>11111111000000001100 [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>10111111110000000100 [1,0,1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0]=>10111110111000100000 [1,0,1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0]=>10111110101110000000 [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>11001111111100000000 [1,0,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>10110111111100000000 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0]=>11111111000000001010 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0]=>11111110100000010010 [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>10111111110000000010 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0]=>11111110100000001100 [1,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>11001111111010000000 [1,0,1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>10110111111010000000 [1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>10101111111100000000 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>10101010101010101010 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>10101010101010101100 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>10101010101010110100 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>10101010101011010100 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>10101010101101010100 [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>10101010110101010100 [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>10101011010101010100 [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>10101101010101010100 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>10110101010101010100 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>11010101010101010100 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>10101010101010111000 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>10101010101011100100 [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>10111001010101010100 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>11100101010101010100 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>10101010101011101000 [1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>10101010101110100100 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>10101010101011110000 [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>10101010111010010100 [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>10101011101001010100 [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>10101110100101010100 [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>10111010010101010100 [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>11101001010101010100 [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>11110001010101010100 [1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>10101010101110101000 [1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>10101010101110110000 [1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>10101010101111010000 [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>11101010010101010100 [1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0]=>11101100010101010100 [1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0]=>11110100010101010100 [1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>10101010111010101000 [1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>10101010111010110000 [1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>10101010101111100000 [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>11101010100101010100 [1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,0]=>11101011000101010100 [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0]=>11111000010101010100 [1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0]=>11110101000101010100 [1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>10101011101010101000 [1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>10101011101010110000 [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0]=>11101010101001010100 [1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0]=>11101010110001010100 [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0]=>11110101010001010100 [1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>10101110101010101000 [1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>10101110101010110000 [1,0,1,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>10101010111110100000 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0]=>11101010101010010100 [1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>10101010111111000000 [1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,0]=>11101010101100010100 [1,0,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]=>10101110111001000100 [1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0,0]=>11111010000101010100 [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,0]=>11111100000101010100 [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0]=>11110101010100010100 [1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>10111010101010101000 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>11101010101010100100 [1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>10111010101010110000 [1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,0]=>11101010101011000100 [1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0]=>11101010111000010100 [1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0]=>11101101010101000100 [1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>10111101010101010000 [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0]=>11110101010101000100 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>10101010101010110010 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>10101010101011001010 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>10101010101011001100 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>10101010101011100010 [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>10101010101100101010 [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>10101010101100110010 [1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>10101010101111000010 [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>10101010110010101010 [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>10101010110011001100 [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>10101010111000101010 [1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>10101010111110000010 [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>10101011001010101010 [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>10101011001010101100 [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>10101011001100101010 [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>10101011001100110010 [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>10101011100010101010 [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>10101011110000110010 [1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>10101011111100000010 [1,0,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>10101011111110000000 [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>10101100101010101010 [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>10101100110010101010 [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>10101100110011001100 [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>10101110001010101010 [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]=>10101111000010101010 [1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>10101111000011110000 [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>10101111100000101010 [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>10101111110000001100 [1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>10101111111000000010 [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>10110010101010101010 [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>10110010101010101100 [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>10110010101010110010 [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>10110010101010111000 [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>10110010111000101100 [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>10110011001010101010 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>10110011001100101010 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>10110011001100110010 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>10110011001100111000 [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>10110011100011001100 [1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>10110011100011110000 [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>10110011110000101010 [1,0,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>10110011111110000000 [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>10111000101010101010 [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>10111000110011001100 [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>10111000111000111000 [1,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>10111000111111000000 [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0]=>10111100001010101010 [1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]=>10111100001111100000 [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0]=>10111110000010101010 [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]=>10111110000011110000 [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0]=>10111111000000101010 [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]=>10111111100000001010 [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]=>10111111100000001100 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>11001010101010101010 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>11001010101010101100 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>11001010101010110010 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>11001010101010111000 [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>11001010101011001010 [1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>11001010101011100010 [1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>11001010101011110000 [1,1,0,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>11001010101111100000 [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>11001011001010101010 [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>11001011110000101100 [1,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>11001011111100000010 [1,1,0,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>11001011111110000000 [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>11001100101010101010 [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>11001100101011001100 [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>11001100110010101010 [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>11001100110010110010 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>11001100110011001010 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>11001100110011001100 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>11001100110011100010 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>11001100110011110000 [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>11001100111000101010 [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>11001100111000111000 [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>11001110001010101010 [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]=>11001110001110001100 [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]=>11001111000011100010 [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>11001111000011110000 [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>11001111110000001010 [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>11001111110000001100 [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>11001111111000000010 [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>11100010101010101010 [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>11100010101010101100 [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>11100010101010110010 [1,1,1,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>11100010111110000010 [1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>11100011001010101010 [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>11100011001100110010 [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>11100011001100111000 [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>11100011100011001100 [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>11100011100011110000 [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>11100011110000111000 [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>11100011111100000010 [1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>11100011111110000000 [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>11110000101010101010 [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>11110000101010101100 [1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>11110000101011110000 [1,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>11110000101111000010 [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>11110000110011001100 [1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>11110000110011110000 [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>11110000111000111000 [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>11110000111100001010 [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>11110000111100001100 [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>11110000111110000010 [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>11110000111111000000 [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0]=>11111000001010101010 [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,1,0,0]=>11111000001010101100 [1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0]=>11111000001011100010 [1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,1,0,0,0,0]=>11111000001011110000 [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0,1,0]=>11111000001100110010 [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0]=>11111000001111000010 [1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0]=>11111000001111100000 [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0]=>11111100000010101010 [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,1,0,0]=>11111100000010101100 [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0,1,0]=>11111100000010110010 [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,1,0,0,0]=>11111100000010111000 [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,1,0]=>11111100000011100010 [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0]=>11111100000011110000 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0]=>11111110000000101010 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,1,0,0]=>11111110000000101100 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0]=>11111110000000110010 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0]=>11111110000000111000 [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>11111111110000000000 [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>11010010101010101010 [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>11010100101010101010 [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>11010101001010101010 [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>11010101010010101010 [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>11010101010100101010 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>11010101010101001010 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>11010101010101010010 [1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0]=>11111010101011000000 [1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0]=>11111100101010100000 [1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0]=>11110101010101100000 [1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>11111001010101010000 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>11010101010101011000 [1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>11111111011000000000 [1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>11111111100100000000 [1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0]=>11111110101100000000 [1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0]=>11111111001010000000 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>11001010101010110100 [1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>11011111111000000000 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>11111111100000000100 [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0]=>11111111010000000100 [1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>11111111101000000000 [1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0]=>11111110111000000000 [1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0]=>11111101111000000000 [1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>11111011111000000000 [1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>11110111111000000000 [1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>11101111111000000000 [1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>11011010101010101000 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>10101010101101001010 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>10101010101101010010 [1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>11011010100101010100 [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>11010110100101010100 [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>11010101100101010100 [1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>10111110101010100000 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>11010101010101110000 [1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]=>11010101010111010000 [1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]=>11010101011101010000 [1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]=>11010101110101010000 [1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>11010111010101010000 [1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>11011101010101010000 [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>11110101010101010000 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0]=>11111111100000001000 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0]=>11111111100000010000 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]=>11111111100000100000 [1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]=>11111111100001000000 [1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>11111111100010000000 [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>10101101001010101010 [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>10110101001010101010 [1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]=>11010101011010101000 [1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0]=>11010101011010100100 [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]=>11010101011010010100 [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]=>11010101011001010100 [1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0]=>11111110101000000100 [1,1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>11011111101010000000 [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>11011000110011001100 [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>11011001100011001100 [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>11011001100110001100 [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>11011001100110011000 [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0]=>11011001100110010010 [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0]=>11011001100100110010 [1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>11011001001100110010 [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>11010011001100110010 [1,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>11010111111100000000 [1,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>11010101111110000000 [1,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>11010101011111000000 [1,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>11010101010111100000 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>11010101010101101000 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>11010101010110101000 [1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]=>11010101101010101000 [1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>11010110101010101000 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>11101010101010101000 [1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0]=>11010101010111001000 [1,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0]=>11010101011100101000 [1,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0]=>11010101110010101000 [1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]=>11010111001010101000 [1,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0]=>11011100101010101000 [1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>11110010101010101000 [1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0]=>11111111001100000000 [1,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0]=>11111111000110000000 [1,1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0]=>11111110001110000000 [1,1,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0]=>11111110000111000000 [1,1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0]=>11111100001111000000 [1,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0]=>11111100000111100000 [1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>10110110110110100000 [1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>10110110111010010000 [1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>10110111010011010000 [1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>10110111011010001000 [1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>10110111101001001000 [1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>10111010011011010000 [1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>10111010011101001000 [1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0]=>10111011010001101000 [1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0]=>10111101001001101000 [1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>10111011011010000100 [1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>10111011101001000100 [1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0]=>10111101001101000100 [1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0]=>10111101101000100100 [1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0]=>10111110100100100100 [1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>11010011011011010000 [1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>11010011011101001000 [1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>11010011101001101000 [1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>11010011101101000100 [1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>11010011110100100100 [1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0]=>11011010001101101000 [1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>11011010001110100100 [1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0]=>11101001001101101000 [1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0]=>11101001001110100100 [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0]=>11011011010000110100 [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0]=>11011101001000110100 [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0]=>11101001101000110100 [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0]=>11101101000100110100 [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0]=>11110100100100110100 [1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>11011011011010000010 [1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0]=>11011011101001000010 [1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0]=>11011101001101000010 [1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0]=>11011101101000100010 [1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0]=>11011110100100100010 [1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0]=>11101001101101000010 [1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>11101001110100100010 [1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0]=>11101101000110100010 [1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0]=>11110100100110100010 [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0]=>11101101101000010010 [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0]=>11101110100100010010 [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0]=>11110100110100010010 [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0]=>11110110100010010010 [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]=>11111010010010010010 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>11101010101010100010 [1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0]=>11111010101010000010 [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0]=>11110101010101000010 [1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0]=>11111110110100000000 [1,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>11011111110100000000 [1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0]=>11111111001000000100 [1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0]=>11111110110000000100 [1,1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>11011111110010000000 [1,1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>11011111101100000000 [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>11010010101010101100 [1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>11111010101010100000 [1,1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0,0]=>11111110010101000000 [1,1,1,0,0,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>11100011111010100000 [1,1,1,1,0,0,0,0,1,1,1,0,1,0,1,0,1,0,0,0]=>11110000111010101000 [1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0]=>11111111010010000000 [1,1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>11011110101010100000 [1,1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]=>11011111010101000000 [1,0,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>10101111111010000000 [1,0,1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>10101011111101000000 [1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0]=>11111110000001110000 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0]=>11111111000000110000 [1,1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>11110111110100000000 [1,1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>11110111110010000000 [1,1,1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>11110111110001000000 [1,1,1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>11110111110000100000 [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0]=>11011111100000010100 [1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>11010111100001010100 [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>11010110010101010100 [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>11001101010101010100 [1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>11111111010100000000 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>11101010101010110000 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]=>11010101010110010100 [1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]=>11010101010111000100 [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]=>11010101010011010100 [1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0]=>11011101010001010100 [1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0]=>11010111010001010100 [1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0]=>11010101110001010100 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>10101010101011010010 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>10110101010101001010 [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>10101101010101010010 [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]=>10101101001010101100 [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]=>10110101001010101100 [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]=>11010101001010101100 [1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]=>11111101010101000000 [1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>11111110101010000000 [1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,0,0]=>11111110101000001000 [1,1,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>11101111101010000000 [1,1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0]=>11110101010111000000 [1,1,1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0]=>11110101011110000000 [1,1,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>11101010111110000000 [1,1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>11101011111100000000 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0]=>11111111000000011000 [1,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0]=>11111000011111000000 [1,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>11110001111110000000 [1,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>11100111111100000000 [1,1,0,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>11011111110001000000 [1,1,1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>11101111110000100000 [1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0]=>11110111110000010000 [1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>11111011110000001000 [1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0,0]=>11111101110000000100 [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0,1,0]=>11101010100101010010 [1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,1,0]=>11011010100101010010 [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0]=>11010110100101010010 [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0]=>11010101100101010010 [1,1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>11110110101010100000 [1,1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0,0]=>11111101010100100000 [1,1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>11101110101010100000 [1,1,1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0]=>11111101010010100000 [1,1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0,0]=>11111101001010100000 [1,1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0,0]=>11111111001001000000 [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>11001010101011010010 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0]=>11101010101010001010 [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0]=>11101010101000101010 [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>11101010100010101010 [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>11101010001010101010 [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>11101000101010101010 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>11010101010101001100 [1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,1,0,1,0]=>11111010000010101010 [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,1,0]=>11111101000000101010 [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0,1,0]=>11110101010100001010 [1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0,0]=>11110101010100101000 [1,1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0]=>11110101010110100000 [1,1,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0]=>11110101111100000000 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0]=>11001100110011010010 [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>11101000110011001100 [1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0,0]=>11111010101010010000 [1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0]=>11111101010100010000 [1,1,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]=>11110111010101000000 [1,0,1,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0]=>10111101011110000000 [1,0,1,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>10111010111110000000 [1,0,1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>10110101111110000000 [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>10101010110100101010 [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>10101011010010101010 [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>10110100101010101010 [1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,1,0,0,0,0]=>11111010000011110000 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>10110101010101010010 [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>10110101010010101010 [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>10101101010010101010 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>10101010101011011000 [1,1,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0]=>11111010101101000000 [1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0,0]=>11111010101010000100 [1,1,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0]=>11111010110101000000 [1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0,0]=>11111010101010001000 [1,1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0]=>11111011010101000000 [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>11001101001010101010 [1,1,1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0,0,0]=>11111001010101100000 [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>10101011010101001010 [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>10101011100101010010 [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>10101101010101001010 [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0]=>10101110010101010010 [1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,1,1,0,0,0]=>11110001110000111000 [1,0,1,0,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>10101101010101110000 [1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>10101010110101110000 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>10110101010101001100 [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>10101011001101001010 [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,1,0,0]=>11111110010000001100 [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>11100100110011001100 [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>11100110010011001100 [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>11100110011001001100 [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>11100110011001100100 [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]=>11100110011001100010 [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]=>11100110011000110010 [1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]=>11100110001100110010 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>11100101010101010010 [1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]=>10101101100010101010 [1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]=>10110101100010101010 [1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]=>11010101100010101010 [1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0]=>10111110010101010000 [1,1,0,1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0]=>11011111000101010000 [1,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]=>11010111100010101000 [1,1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>11101011110000101000 [1,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0,1,0,0]=>11110101011100000100 [1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,1,0]=>11110101010110000010 [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0]=>11010101010010110010 [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]=>11010101001011010010 [1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0]=>11010100101101010010 [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>11010010110101010010 [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>11001011010101010010 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,1,0]=>11111110100000001010 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,0]=>11111110100000010100 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,0,0]=>11111110100000101000 [1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0,0,0]=>11111110100001010000 [1,1,1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0,0,0]=>11111110100010100000 [1,1,1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0,0]=>11111110100101000000 [1,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0]=>11111110011100000000 [1,0,1,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0]=>10111111000001110000 [1,0,1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0]=>10111111100000110000 [1,1,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0,0]=>11111001101010100000 [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>10101010101110010010 [1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>11001110101010101000 [1,1,1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,0,0]=>11111100011110000000 [1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0,0]=>11111010010101010000 [1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0]=>11101010101011010000 [1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0]=>11110100101010101000 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>11010101010101100100 [1,1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>11110011111100000000 [1,1,1,1,0,0,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>11110000111100110000 [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,1,0,0,0]=>11111000001111001000 [1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,1,0,0,0,0]=>11111000001110110000 [1,1,1,0,0,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>11100011111000110000 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>10110101010101011000 [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0]=>11111111010000001000 [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0]=>11111111010000010000 [1,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0]=>11111111010000100000 [1,1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0]=>11111111010001000000 [1,1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0]=>11111101110100000000 [1,1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>11111011110100000000 [1,1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>11101111110100000000 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0]=>11111111000000010100 [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,0]=>11111110000001010100 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>11001100110011100100 [1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>11001100111001100100 [1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>11001110011001100100 [1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>10110110011001100100 [1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>10110011011001100100 [1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>10110011001101100100 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>10110011001100110100 [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0]=>10111101000010101010 [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>10101110100010101010 [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>11011000101010101010 [1,1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0,0,0]=>11111100010101010000 [1,1,1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0]=>11110110010101010000 [1,1,1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0]=>11110100110101010000 [1,1,1,1,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,0]=>11110100011101010000 [1,1,1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0]=>11111101011010000000 [1,1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>11100111111010000000 [1,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0]=>11010101110001100100 [1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,0]=>11011001110001010100 [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>11001101010101010010 [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>11100100101010101010 [1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>11001101101101100000 [1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>11011000110110110000 [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>11011001100011011000 [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,1,0]=>11011001100110001010 [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,0]=>11011001100110010100 [1,1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,0]=>11011001100101101000 [1,1,0,1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0,0]=>11011001011011010000 [1,1,0,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>11010110110110100000 [1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0]=>11101101101101000000 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]=>11010101010101100010 [1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>11110010101010100010 [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0]=>11111101001001001000 [1,1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0]=>11101100101010101000 [1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0]=>11011100010101010100 [1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>11001111110100000010 [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0]=>10111111010000001100 [1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0]=>11101010101101010000 [1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>11101101010101010000 [1,1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>11101010101011100000 [1,1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0]=>11101010101110100000 [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>10111001100110011000 [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>10110011100110011000 [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>10110011001110011000 [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>11001010101101010100 [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>10101010110110001100 [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>10101010111001001100 [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>10101011011000110010 [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>10101011100100110010 [1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>11011111110000000100 [1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>10111010101010100010 [1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>10101110101010100010 [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>11100010101011010010 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0]=>11101010101010011000 [1,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>11100110101010101000 [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>11110010010011001100 [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>11001110010011001100 [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>11001111001001001100 [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>11100111001001001100 [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>11110011001001001100 [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0]=>11111001001001001100 [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>11001100111001001100 [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>11100100111001001100 [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>11110010011001001100 [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>11001110011001001100 [1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>11001100111100100100 [1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>11100100111100100100 [1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>11110010011100100100 [1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>11001110011100100100 [1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>11100110011100100100 [1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>11110011001100100100 [1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0]=>11111001001100100100 [1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>11110011100100100100 [1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0]=>11111001100100100100 [1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>11001111001100100100 [1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>11100111001100100100 [1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]=>11111100100100100100 [1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>11001111100100100100 [1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>11100111100100100100 [1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>11100100110011100100 [1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>11110010010011100100 [1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>11001110010011100100 [1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>11100110010011100100 [1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>11001111001001100100 [1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>11100111001001100100 [1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>11110011001001100100 [1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0]=>11111001001001100100 [1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>11100100111001100100 [1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>11110010011001100100 [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0]=>11010101010100110010 [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0]=>11010101010011010010 [1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0]=>11010101001101010010 [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0]=>11010100110101010010 [1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>11010011010101010010 [1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0]=>11010101010011100010 [1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0]=>11010101001110010010 [1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0]=>11010100111001010010 [1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>11010011100101010010 [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0]=>11001110010101010010 [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>10111001010101010010 [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>11011001010101010100 [1,1,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0,0]=>11101010101100110000 [1,1,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,0,0]=>11110010101100110000 [1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>11110011001100110000 [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,1,0,0]=>11111101100000001100 [1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0]=>11110110101010010000 [1,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0]=>11110101101010001000 [1,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,1,0,0]=>11110101011010000100 [1,1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0,0,0]=>11110101110100001000 [1,1,1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0]=>11110111010100010000 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0,0]=>11111111000000100100 [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0,0]=>11111110000010010100 [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,1,0,0]=>11111100001001010100 [1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0,0]=>11111000100101010100 [1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>11110010010101010100 [1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0,0]=>11110101010100100100 [1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0]=>11111010100100100100 [1,1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>11101111110010000000 [1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>11101111110000000100 [1,1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0]=>11111110110010000000 [1,1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0]=>11111101110001000000 [1,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>11111011110000100000 [1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>11110001100011001100 [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0]=>11110101010101001000 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0]=>11101010101010001100 [1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0,0]=>11111101010100000100 [1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>11100111111000000100 [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0]=>11011111100000011000 [1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>11110010101010110000 [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>10110100110011001100 [1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>11010011111100000010 [1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>11101000111110000010 [1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0]=>11110100001111000010 [1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0,1,0]=>11111010000011100010 [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,1,0]=>11111101000000110010 [1,1,0,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0]=>11011111100101000000 [1,1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0]=>11011111001010100000 [1,1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0]=>11011110010101010000 [1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>11110010101010100100 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>11100101010101001100 [1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>10111011011010000010 [1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>10110010111011010000 [1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>10110111011010000100 [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0]=>10111101101000010010 [1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0]=>10110110010111010000 [1,0,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,1,0]=>10111001011101000010 [1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0]=>10110111010000101100 [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,1,0]=>10111101000010110010 [1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]=>10110110111010001000 [1,0,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0]=>10111011101000100010 [1,0,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>10110010111101000100 [1,0,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]=>10110111101000100100 [1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0]=>10111110100010010010 [1,0,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]=>10110110110010110000 [1,0,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0]=>10111011001011000010 [1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>10110010111001011000 [1,0,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0]=>10110111001011000100 [1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0]=>10111100101100010010 [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0]=>10110110001011011000 [1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0]=>10111000101101100010 [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0]=>10110110010010111000 [1,0,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,1,0]=>10111001001011100010 [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0]=>10110110110001011000 [1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0]=>10111011000101100010 [1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0]=>10110111000101100100 [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0]=>10111100010110010010 [1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>10110110110110010000 [1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0]=>10111011011001000010 [1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>10110010111011001000 [1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0]=>10110111011001000100 [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0]=>10111101100100010010 [1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0]=>10110110010111001000 [1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0]=>10111001011100100010 [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0]=>10110111001000101100 [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0]=>10111100100010110010 [1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]=>10110110111001001000 [1,0,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0]=>10111011100100100010 [1,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>10110010111100100100 [1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>10110111100100100100 [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0]=>10111110010010010010 [1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0]=>11011101010101001000 [1,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0]=>11010111010100101000 [1,1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0]=>11010110010110101000 [1,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>11011001010101101000 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>11100101010101011000 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,1,0,0]=>11111110000000110100 [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,1,0,0]=>11111100000011010100 [1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,1,0,1,0,0]=>11111000001101010100 [1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>11110000110101010100 [1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>11100011010101010100 [1,1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0]=>11111101010110000000 [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>10110010101010110100 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>10110101010101100100 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>10110101010101101000 [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>11001101100011001100 [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>11001100110110001100 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>11001100110011011000 [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0]=>11001100110110010010 [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0]=>11001101100100110010 [1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0]=>11011111101000000100 [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0]=>10111111010000001010 [1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>10101111110100000010 [1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0]=>10111111101000000010 [1,0,1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>10101111110110000000 [1,1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>11101001111110000000 [1,1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0]=>11110100011111000000 [1,1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0,0]=>11111010000111100000 [1,1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0,0]=>11111101000001110000 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0]=>11111110100000011000 [1,1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0]=>11111101101100000000 [1,1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0]=>11111101101010000000 [1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0]=>11101100010011001100 [1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0]=>11101111000011000100 [1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0]=>11101100110011000100 [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>11001100110110011000 [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>11001101100110011000 [1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0]=>11001110101100101000 [1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,0]=>11110010100111000100 [1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0]=>11101011001010001100 [1,0,1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0]=>10111111001010100000 [1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>10111011011011000000 [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0]=>11010101010010110100 [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0]=>11010101010010101100 [1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0]=>11110101000010101010 [1,0,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0]=>10111101010101100000 [1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0]=>10111100101010101000 [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>10111001001100110010 [1,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0]=>11101101100001101000 [1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,1,0]=>11101101100001001010 [1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0]=>11011101100011010000 [1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,1,0]=>11011101100010001010 [1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0]=>10111101100010010010 [1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,1,0]=>11101001100011010010 [1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0]=>11101001100010110100 [1,1,0,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>11011011100110100000 [1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>11010011100110100010 [1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,1,0]=>11011011100100001010 [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0]=>10111011100100010010 [1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>11010011100100110100 [1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0]=>10110111100100100010 [1,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>10101111100100100100 [1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0,1,0]=>11011101000011010010 [1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,1,0,1,0,0]=>11011101000010110100 [1,0,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0]=>10111101000110100010 [1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0]=>10111101000100110100 [1,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0]=>11111101000100100100 [1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>11011011011101000000 [1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>11010011011101000010 [1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0]=>10111010011101000010 [1,1,0,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>11010010111101000100 [1,0,1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0]=>10110100111101000100 [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,1,0]=>11011011011000001010 [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0]=>10111011011000010010 [1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>11010011011000110100 [1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0]=>10110111011000100010 [1,0,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0]=>10101111011000100100 [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0]=>10111010011000110100 [1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0]=>11111010011000100100 [1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>11010010111001101000 [1,0,1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0]=>10110100111001101000 [1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0]=>10110110111001000010 [1,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0]=>11110100111001000100 [1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0]=>10101101111001001000 [1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,0]=>11101001111001001000 [1,1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>11101010111010100000 [1,1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>11101011101010100000 [1,1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0,0]=>11101010101001110000 [1,1,1,0,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0,0]=>11101010100111100000 [1,1,1,0,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>11101010011110100000 [1,1,1,0,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0,0]=>11101001111010100000 [1,1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>11100111101010100000 [1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0]=>11011101110010001000 [1,1,0,1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0]=>11011101100110100000 [1,1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0]=>11011100111100001000 [1,1,0,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0]=>11011101101001100000 [1,1,0,1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,0]=>11011100111011000000 [1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>11011011010110001000 [1,1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>11011011010011100000 [1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,0]=>11011110001101001000 [1,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0]=>11011011100101001000 [1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0,0]=>11011111001000110000 [1,1,0,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,0]=>11011110011010010000 [1,1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>11011011110000110000 [1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0]=>11011110100110010000 [1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>11011011101100010000 [1,1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]=>11100101110110001000 [1,1,1,0,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>11100101110011100000 [1,1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0]=>11100101101101001000 [1,1,1,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>11100101111000110000 [1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]=>11100101101110010000 [1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0]=>11110010010111001000 [1,1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,0]=>11110010010110110000 [1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0]=>11101100010111001000 [1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0]=>11101100010110110000 [1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0]=>11110110001001011000 [1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>11110011100001011000 [1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0]=>11101101001001011000 [1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0]=>11111000110001011000 [1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,0]=>11101110010001011000 [1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0]=>11110111001000100100 [1,1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,0]=>11110110011010000100 [1,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>11110011110000100100 [1,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0]=>11110110100110000100 [1,1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>11110011101100000100 [1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,0]=>11101101011000100100 [1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0]=>11101101001110000100 [1,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,0,0]=>11111000110100100100 [1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0]=>11101110010100100100 [1,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0,1,0,0]=>11111100100011000100 [1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0]=>11111001101001000100 [1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,1,0,0]=>11111010011001000100 [1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0]=>11101110110001000100 [1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0,0]=>11111001001100110000 [1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0]=>10111001011100110000 [1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0,0]=>10111001011100011000 [1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,0]=>10111001010110011000 [1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0]=>10111001011001011000 [1,0,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0]=>10111001011011000100 [1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0,1,1,0,0]=>11011001001011001100 [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0]=>11001101001011001100 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0]=>11010101010110011000 [1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0,0]=>11111110000001101000 [1,1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0,0]=>11111100000111010000 [1,1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0,0]=>11111000011110100000 [1,1,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>11110001111101000000 [1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>11001100110110110000 [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>11001101100011011000 [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>11001101100110001100 [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0]=>11001101101100001100 [1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>11001101100110110000 [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>11001101101100011000 [1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]=>11001101101100110000 [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>11011000110011011000 [1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>11011000110110001100 [1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>11011000110110011000 [1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>11011011000011001100 [1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0]=>11011011000011011000 [1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0]=>11011001101100001100 [1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0]=>11011011000110001100 [1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>11011011001100001100 [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>11011011011000001100 [1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>11011001100110110000 [1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>11011001101100011000 [1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0]=>11011001101100110000 [1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>11011001101101100000 [1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>11011011000110011000 [1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0]=>11011011000110110000 [1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>11011011001100011000 [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0]=>11011011011000011000 [1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>11011011001100110000 [1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>11011011001101100000 [1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>11011011011000110000 [1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>11011011011001100000 [1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>11011011011011000000 [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]=>10110110001100110010 [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]=>10110110011000110010 [1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]=>10110110011001100010 [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>10110110011001001100 [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>10110110010011001100 [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0]=>10110111001000110010 [1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,1,0]=>11111001010101000010 [1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0]=>11101010101011000010 [1,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>11110001110001110000 [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0]=>11010101010100110100 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>11100101010101001010 [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>11101001010101010010 [1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]=>11001101101101010000 [1,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0]=>11001101110101001000 [1,1,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0]=>11001110110101000100 [1,1,0,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0]=>11001111010100100100 [1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0]=>11100101100110101000 [1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0]=>11100101110010100100 [1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0]=>11100110101100010100 [1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0]=>11110010100110010100 [1,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0]=>11100110110101000010 [1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0]=>11100111010100100010 [1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0]=>11110010110010100010 [1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0]=>11110011010100010010 [1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0]=>11111001010010010010 [1,0,1,0,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0]=>10101100110110101000 [1,0,1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0]=>10101100111010100100 [1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0]=>10101110010110010100 [1,0,1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0]=>10101110011010100010 [1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0]=>10101111001010010010 [1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0]=>10110101100011010100 [1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0]=>10110101110001010010 [1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]=>11010100110011010100 [1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0]=>10110110101100001010 [1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,1,0]=>10111010100110001010 [1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0]=>11010110010110001010 [1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0]=>11011010100011001010 [1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0]=>11101010010011001010 [1,0,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]=>10110110110101100000 [1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0]=>10110111010100110000 [1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0]=>10111010110010110000 [1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0]=>10111011010100011000 [1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0]=>10111101010010011000 [1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0]=>11010110011010110000 [1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0]=>11010111001010011000 [1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0]=>11011010110001011000 [1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0]=>11101010011001011000 [1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0]=>11011011010100001100 [1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0]=>11011101010010001100 [1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0]=>11101101010001001100 [1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0]=>11110101001001001100 [1,1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>11100110111110000000 [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0]=>11110111100000011000 [1,1,1,1,0,0,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>11110001110111000000 [1,1,1,1,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0]=>11111011000001110000 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0]=>11010101010110100100 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]=>11010101010110110000 [1,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0]=>11110101010010101000 [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>11001101010010101010 [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>10110011010010101010 [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0]=>11101100110010010010 [1,1,1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0]=>11101110111010000000 [1,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0]=>11101110111001000000 [1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,0]=>11101110010001001100 [1,1,1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0]=>11110101011101000000 [1,1,1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0]=>11110101110101000000 [1,1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,1,0,0,0]=>11110101010001101000 [1,1,1,1,0,1,0,1,0,0,0,1,1,1,1,0,0,0,0,0]=>11110101000111100000 [1,1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>11100111110101000000 [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>10101101010101011000 [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>10101011010101011000 [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>10101010110101011000 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>10101010101101011000 [1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,1,0]=>11111010101100000010 [1,1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0,0]=>11111110100110000000 [1,1,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0,0]=>11111110011010000000 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>10110101010101110000 [1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0]=>11110110101010000010 [1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0,1,0]=>11111010101001000010 [1,0,1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0]=>10111101101010100000 [1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0]=>10111110101010010000 [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>11001100110101010100 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]=>11001100110011010100 [1,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0,0]=>11101010101100101000 [1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0,0]=>11101010101101001000 [1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0,0]=>11101010101110001000 [1,1,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0]=>11101010101101100000 [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0,0]=>11101010100101011000 [1,1,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0,0]=>11111010100101010000 [1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>11100110100101010100 [1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>11011001100101010100 [1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>11001110111001010000 [1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>11001111010110001000 [1,1,0,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>11001111101010100000 [1,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>11101000110011101000 [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0]=>11101110010100001100 [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0]=>11110101100010001100 [1,1,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>11100101111110000000 [1,1,1,0,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0,0]=>11101001011110100000 [1,1,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0,0]=>11111000010111100000 [1,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,1,0,0,0]=>11111010000101101000 [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0,0]=>11111110000001011000 [1,1,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0,0]=>11111010101001100000 [1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0,0,0]=>11111010101001010000 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0]=>11101010101010010010 [1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0]=>10111101111000010000 [1,0,1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>10111011111000001000 [1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>10110111111000000100 [1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>11010101001100110010 [1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0,0]=>11111000101010101000 [1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0]=>10110111001100100010 [1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>10110111001100110000 [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0]=>10110111001100010010 [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0]=>10110111000100110010 [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>10110101001100110010 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>11100101010101100100 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>11100101010101101000 [1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,0]=>11101010101011001000 [1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0,0,0]=>11111001100100101000 [1,1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0]=>11110011100101000100 [1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0,0,0]=>11111001001101001000 [1,1,1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0]=>11110011001101010000 [1,1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]=>11100111101000100100 [1,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]=>11100111011000101000 [1,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0]=>11110010111001000100 [1,1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]=>11100110111010000100 [1,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0]=>11111001010011001000 [1,1,1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>11110011010011010000 [1,1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>11100111010110001000 [1,1,1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>11110010110110010000 [1,1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>11100110110110100000 [1,1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0]=>11011111000100100100 [1,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0,0]=>11011110001100101000 [1,1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0,0]=>11011100011101000100 [1,1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0]=>11011110001011001000 [1,1,0,1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0]=>11011100011011010000 [1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,0]=>11101001111000100100 [1,1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0,0]=>11101001110001101000 [1,1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>11011011110000100100 [1,1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>11011011100001101000 [1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0]=>11110100100111000100 [1,1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0,0]=>11101100101110000100 [1,1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0]=>11011101000111000100 [1,1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0,0]=>11101011001110000100 [1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>11011011011100000100 [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0]=>11111010010010011000 [1,1,1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0,0,0]=>11110110010010110000 [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0,0]=>11101110010100011000 [1,1,1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,0,0]=>11110100110100110000 [1,1,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0,0]=>11101100110101100000 [1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0,0]=>11011110100010011000 [1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0]=>11011101100010110000 [1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0]=>11101011100100011000 [1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0,0]=>11011011101000011000 [1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,0,0]=>11110101001100110000 [1,1,1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,0]=>11101101001101100000 [1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0,0]=>11011101011000110000 [1,1,1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>11101011011001100000 [1,1,0,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>11001111111001000000 [1,0,1,0,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>10101111111000100000 [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>11001010101011010100 [1,1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>11101001010101101000 [1,1,0,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>11001111110101000000 [1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>11001111010101010000 [1,1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0]=>11110110101011000000 [1,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>11001111101001000100 [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]=>11001101011010010100 [1,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>11001101110110100000 [1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0]=>11110011100010010100 [1,1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0]=>11110011000101101000 [1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0]=>11100101101110001000 [1,1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0]=>11110011100101000010 [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0]=>11111100100100010010 [1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0]=>11100101101001010010 [1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>11100111011010000010 [1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0]=>11111001011000100010 [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0]=>10101100111010010100 [1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0]=>10101100110101101000 [1,0,1,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>10101111001110001000 [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0]=>10101111001001010010 [1,0,1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0]=>10101110010110100010 [1,0,1,1,1,0,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>10111011000011101000 [1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>10111011110000100010 [1,1,1,0,1,0,0,0,1,1,1,1,0,0,1,0,0,0,1,0]=>11101000111100100010 [1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,1,0]=>10111010010110001010 [1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0]=>10110101101100001010 [1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0,1,0]=>11101110001100001010 [1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0]=>11101001010011001010 [1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0]=>11010110100011001010 [1,0,1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>10111011100101100000 [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0]=>10111110100100011000 [1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0]=>10110101101001011000 [1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>10110111011011000000 [1,0,1,1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0,0]=>10111101011000110000 [1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0]=>11101110001001011000 [1,1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0]=>11101001011100110000 [1,1,0,1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>11010110111000110000 [1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0]=>11111010010001001100 [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0]=>11010110100101001100 [1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0]=>11011101101000001100 [1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>11100100111100001010 [1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>11001011011100001100 [1,1,1,0,0,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0]=>11100101001111000010 [1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>11010011011100001100 [1,1,1,0,1,0,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>11101000101111000010 [1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,1,0]=>11011010001111000010 [1,1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>11100010110111000100 [1,1,1,0,1,0,0,0,1,0,1,1,1,1,0,0,0,1,0,0]=>11101000101111000100 [1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0,1,1,0,0]=>11011001011100001100 [1,1,1,0,0,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0]=>11100101001111000100 [1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,0]=>11011010011100001100 [1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0]=>11100100111100010100 [1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,1,0,0]=>11101001110000110100 [1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,1,0,0,1,0]=>11111001000010110010 [1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,1,0]=>11011110010000110010 [1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,1,0,1,0,0]=>11111001000010110100 [1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,0]=>11011110010001001100 [1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0]=>11111001000100110100 [1,1,0,0,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>11001011110010110000 [1,1,0,1,0,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>11010011110010110000 [1,1,0,0,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>11001011110100110000 [1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>11010011110100110000 [1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0,1,0]=>11111000101100100010 [1,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0,1,0]=>11110110001100100010 [1,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0,0,1,0]=>11111000101101000010 [1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0,1,0]=>11110110010011000010 [1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0]=>11111001001101000010 [1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0]=>11100101110001011000 [1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0]=>11110010011100010100 [1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>11100101101100011000 [1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>11101001101100011000 [1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0]=>11110100010111000100 [1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0]=>11101101000111000100 [1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0]=>11110001011011001000 [1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0]=>11110100010111001000 [1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0,0]=>11101100101100011000 [1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0]=>11110010100111001000 [1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0]=>11101101001100011000 [1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,1,0,0,0]=>11110010011100101000 [1,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0]=>11110100110001101000 [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,1,0,0]=>11111101100000010100 [1,1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0,0,0]=>11111011100000101000 [1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0,0,0]=>11110111100001010000 [1,1,1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0]=>11101111100010100000 [1,1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0]=>11111111000001100000 [1,1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0]=>11111111000011000000 [1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0,0]=>11111111001000001000 [1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0,0]=>11111110110000001000 [1,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,0]=>11111110100100100000 [1,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0]=>11011111001001001000 [1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>11011011110010010000 [1,1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>11011011011100100000 [1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0,1,0]=>11101010101100001010 [1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,1,0,1,0]=>11101010110000101010 [1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,1,0,1,0]=>11101011000010101010 [1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0]=>11101100001010101010 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>10101010101101101000 [1,0,1,0,1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>10101010110111010000 [1,0,1,0,1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>10101011011110100000 [1,0,1,0,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>10101101111101000000 [1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0,0]=>11111100101010010000 [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,1,0,1,0]=>11111000011100001010 [1,1,0,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0]=>11001111000111000010 [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]=>11001100111100011000 [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>11110011000011001100 [1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>11100011110010001100 [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>11100011100011101000 [1,1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0]=>11111101011100000000 [1,1,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0]=>11111110010110000000 [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>11010010101011010010 [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>10110010101011010010 [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>11010010101010110010 [1,0,1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>10101101111110000000 [1,0,1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0]=>10101101110110010000 [1,0,1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]=>10101110110110001000 [1,0,1,0,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0]=>10101101001111001000 [1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>10110100111011001000 [1,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0]=>10101101101110000100 [1,0,1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>10101011100111000100 [1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0]=>10110100110111000100 [1,0,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>10101011110001100100 [1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>10101100110011100100 [1,1,0,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>11010010111011001000 [1,1,0,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>11010010110111000100 [1,1,0,1,0,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>11010010110011100100 [1,1,0,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0]=>11011010001011100100 [1,1,1,0,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0]=>11101001001011100100 [1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]=>10110110110110000010 [1,0,1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0]=>10101110110011000010 [1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0]=>10111010011011000010 [1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0]=>10110110100011100010 [1,0,1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>10110100110011100010 [1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>11010011011011000010 [1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>11010011010011100010 [1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,1,0]=>11011010001101100010 [1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0]=>11101001001101100010 [1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,0]=>10111011010000110010 [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0]=>10101111001000110010 [1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>11010011101000110010 [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0]=>10101111000100110010 [1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>10101010101110100010 [1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>10101010111010100010 [1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>10101011101010100010 [1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0]=>11011010001100110100 [1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0]=>11101001001100110100 [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>11101001010101011000 [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>11011001010101011000 [1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0]=>11111011000100100100 [1,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0]=>11110110011000100100 [1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0]=>11110110010010010010 [1,0,1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>10110110101010101000 [1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0]=>11011110100100100100 [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0]=>11010101010011001100 [1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>11010100110011001100 [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0]=>10111010101010011000 [1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0]=>10110101010011011000 [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0]=>10110101001011011000 [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0]=>10110100101011011000 [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>10110010101011011000 [1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>11101111110000001000 [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0,0]=>11110101010100011000 [1,1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>11100111010101010000 [1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>10110011001110100100 [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>10110011101000110100 [1,0,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>10110011101101000100 [1,0,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>10110011110100100100 [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0]=>10111010001100110100 [1,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>10111010001110100100 [1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0]=>10111011010000110100 [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0]=>10111101001000110100 [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>11010011001100110100 [1,1,0,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>11010011001110100100 [1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>11010011101000110100 [1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>11011011011010000100 [1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>11011011101001000100 [1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0]=>11011101001101000100 [1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0]=>11011101101000100100 [1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0]=>11101001101101000100 [1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0,0]=>11101001110100100100 [1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,0]=>11101101000110100100 [1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,1,0,0]=>11110100100110100100 [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0]=>11101101101000010100 [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0,0]=>11101110100100010100 [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0,0]=>11110100110100010100 [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0]=>11110110100010010100 [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0]=>11111010010010010100 [1,0,1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>10110110111110000000 [1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>10110110110111000000 [1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>11011010101010110000 [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0]=>1111111111000000000010 [1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1011111111110000000000 [1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0]=>1111111110100000000010 [1,0,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>1011111111101000000000 [1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0]=>1111111110010000000010 [1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0]=>1111111101100000000010 [1,0,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>1011111111100100000000 [1,0,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>1011111111011000000000 [1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0]=>1111111101010000000010 [1,0,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>1011111111100010000000 [1,0,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>1011111111010100000000 [1,0,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0]=>1011111110111000000000 [1,0,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1011111101111000000000 [1,0,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1011111011111000000000 [1,0,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1011110111111000000000 [1,0,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1011101111111000000000 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>1010101010101010101010 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>1010101010101010101100 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>1010101010101010110100 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>1010101010101011010100 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>1010101010101101010100 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>1010101010110101010100 [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>1010101011010101010100 [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>1010101101010101010100 [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>1010110101010101010100 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>1011010101010101010100 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>1101010101010101010100 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>1010101010101010111000 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>1110010101010101010100 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>1010101010101011101000 [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>1110100101010101010100 [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>1111000101010101010100 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>1010101010101111010000 [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>1110101001010101010100 [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>1110101010010101010100 [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>1111100001010101010100 [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>1110101010100101010100 [1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>1010101010111110100000 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0]=>1110101010101001010100 [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0]=>1111110000010101010100 [1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0]=>1111101010101011000000 [1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>1111110010101010100000 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>1100101010101010101010 [1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0]=>1111111110110000000000 [1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0]=>1111111111001000000000 [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0]=>1111111111000000000100 [1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0]=>1111111111010000000000 [1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0]=>1111111110100000000100 [1,1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>1101111111101000000000 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>1101010101010101011000 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>1101010101010101101000 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>1101010101010110101000 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]=>1101010101011010101000 [1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]=>1101010101101010101000 [1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>1101010110101010101000 [1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>1101011010101010101000 [1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>1101101010101010101000 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>1110101010101010101000 [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>1111111111100000000000 [1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1100111111111000000000 [1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1101111111110000000000 [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>1101001010101010101010 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0]=>1111111110000000001100 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]=>1101010101011001010100 [1,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0]=>1111111110101000000000 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>1010101010101011100010 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>1010101010101010110010 [1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>1101111111100000000010 [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>1011111111100000000100 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>1101010101010101010010 [1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0]=>1111111111000100000000 [1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0]=>1111111101010000001000 [1,1,1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>1110111111010100000000 [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>1011001010101010101010 [1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>1010101011111101000000 [1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1010101011111100000010 [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>1111010101010101010000 [1,1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0]=>1111111110100100000000 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>1010101010101011010010 [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0]=>1011111100000010101010 [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0]=>1111110100000010101010 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>1011001100110011001100 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>1100110011001100110100 [1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0,0,0]=>1111110101010100100000 [1,1,1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]=>1111101101010101000000 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>1110101010101010100010 [1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>1011101010101010101000 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0]=>1111111110000000001010 [1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0]=>1111101010101010000010 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0]=>1110101010101010010100 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>1110101010101010100100 [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0]=>1111110000001111100000 [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>1101010110010101010100 [1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>1111101010101010100000 [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>1010101101010101001010 [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0]=>1010101110010101010010 [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>1011111111100000000010 [1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0]=>1111110101010100000010 [1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]=>1011111101010101000000 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]=>1101010101011010010100 [1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1100101010101111100000 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>1010101010101011001010 [1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0]=>1111010101010110100000 [1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>1111101001010101010000 [1,1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0]=>1111111101101000000000 [1,1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>1101010101011111000000 [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0]=>1111110000001010101010 [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>1101010111100001100100 [1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>1101100111100001010100 [1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>1011111010101010100000 [1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>1111001010101010101000 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>1110101010101010110000 [1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>1110110101010101010000 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>1110101010101011100000 [1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1111111101110000000000 [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>1010101011011000110010 [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>1010101011100100110010 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>1100101010101011010010 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>1100101010101010110010 [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>1110001010101010101010 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>1101010101010101001010 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0]=>1101010101010100110010 [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0]=>1101010101010011010010 [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0]=>1101010101001101010010 [1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0]=>1101010100110101010010 [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>1101010011010101010010 [1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>1101001101010101010010 [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>1100110101010101010010 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>1011010101010101010010 [1,0,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1010111111111000000000 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0]=>1111111110000000010100 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0]=>1111111100000001010100 [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0]=>1111111000000101010100 [1,1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>1101111111100100000000 [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]=>1101100110001100110010 [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>1101100011001100110010 [1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1110111111110000000000 [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0]=>1111111111000000001000 [1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0]=>1111010101010111000000 [1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0]=>1111100101010101100000 [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>1100111111110000000010 [1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1110001111111000000010 [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1111000011111100000010 [1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>1111100000111110000010 [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0]=>1111110000001111000010 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0]=>1111111000000011100010 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0]=>1111111100000000110010 [1,1,0,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>1101111111010100000000 [1,1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>1101111110101010000000 [1,1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]=>1101111101010101000000 [1,1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>1101111010101010100000 [1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>1101110101010101010000 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>1101010101010101001100 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>1100101010101010101100 [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>1011001010101010101100 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>1011010101010101011000 [1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1111100000111111000000 [1,0,1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>1010111111110100000000 [1,1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1110011111111000000000 [1,1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1111000111111100000000 [1,1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1111100001111110000000 [1,1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0]=>1111110000011111000000 [1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0]=>1111111000000111100000 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0]=>1111111100000001110000 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0]=>1111111110000000011000 [1,1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0]=>1111111110011000000000 [1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]=>1111110101010101000000 [1,0,1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0]=>1011111100101010100000 [1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0]=>1011110101010101100000 [1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>1011111001010101010000 [1,1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0]=>1110101010101110100000 [1,1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>1110101010111010100000 [1,1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>1110101011101010100000 [1,1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>1110101110101010100000 [1,1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>1110111010101010100000 [1,0,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1011011111111000000000 [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0]=>1111111111000000010000 [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0]=>1111111111000000100000 [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0]=>1111111111000001000000 [1,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0]=>1111111111000010000000 [1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,1,0]=>1111010101010110000010 [1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0]=>1111100101010101000010 [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>1110010011001100110010 [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>1111000011110000111000 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>1010101010101100101010 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>1010101010101101001010 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>1010101010101101010010 [1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>1101101010100101010100 [1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>1101011010100101010100 [1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>1101010110100101010100 [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>1101010101100101010100 [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0]=>1111010101010101000010 [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0]=>1111010101010101001000 [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0]=>1111010101010101100000 [1,1,1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0]=>1111010101011101000000 [1,1,1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0]=>1111010101110101000000 [1,1,1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]=>1111010111010101000000 [1,1,1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]=>1111011101010101000000 [1,1,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0]=>1111111110001100000000 [1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,1,0]=>1111101010101100000010 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>1010101010101011011000 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>1010101010101101011000 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>1010101010110101011000 [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>1010101011010101011000 [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>1010101101010101011000 [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>1010110101010101011000 [1,1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0]=>1111111101011000000000 [1,1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0]=>1111111110010100000000 [1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>1101111111100000000100 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0]=>1101010101011010100100 [1,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0]=>1111010101001010101000 [1,1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0]=>1110110101001010101000 [1,1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0]=>1110101101001010101000 [1,1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,0]=>1110101011001010101000 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>1110010101010101011000 [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]=>1011111111000000001100 [1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0]=>1111111110100000001000 [1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0]=>1111111110100000010000 [1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0]=>1111111110100000100000 [1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0]=>1111111110100001000000 [1,1,1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0]=>1111111110100010000000 [1,0,1,0,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>1010101111111010000000 [1,1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0]=>1111110101010110000000 [1,1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0]=>1111111001010101000000 [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0]=>1011111000001111100000 [1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1111100000101111100000 [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]=>1100111110000011110000 [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>1111100000110011110000 [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>1111100000111100001100 [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>1110001111000011110000 [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>1111000011100011110000 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>1110010101010101101000 [1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1111111011110000000000 [1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1111110111110000000000 [1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1111101111110000000000 [1,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1111011111110000000000 [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0]=>111111111110000000000010 [1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0]=>111111111101000000000010 [1,0,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0]=>101111111111010000000000 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>101010101010101010110100 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>101101010101010101010100 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>101010101010101010111000 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>111001010101010101010100 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [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 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>111010101010101010101000 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>110101010101010101011000 [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>111000101010101010101010 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>110011001100110011001100 [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>111001001100110011001100 [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>111100100100110011001100 [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>110011100100110011001100 [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>111001100100110011001100 [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>110011110010010011001100 [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>111001110010010011001100 [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>111100110010010011001100 [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>111110010010010011001100 [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>110011001110010011001100 [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>111001001110010011001100 [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>111100100110010011001100 [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>110011100110010011001100 [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>111001100110010011001100 [1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>110011001111001001001100 [1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>111001001111001001001100 [1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>111100100111001001001100 [1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>110011100111001001001100 [1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>111001100111001001001100 [1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>111100110011001001001100 [1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>111110010011001001001100 [1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0]=>111100111001001001001100 [1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0]=>111110011001001001001100 [1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>110011110011001001001100 [1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>111001110011001001001100 [1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0]=>111111001001001001001100 [1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0]=>110011111001001001001100 [1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0]=>111001111001001001001100 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>110011001100111001001100 [1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>111001001100111001001100 [1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>111100100100111001001100 [1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>110011100100111001001100 [1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>111001100100111001001100 [1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>110011110010011001001100 [1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>111001110010011001001100 [1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>111100110010011001001100 [1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>111110010010011001001100 [1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>110011001110011001001100 [1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>111001001110011001001100 [1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>111100100110011001001100 [1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>110011100110011001001100 [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>111001100110011001001100 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>110011001100111100100100 [1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>111001001100111100100100 [1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>111100100100111100100100 [1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>110011100100111100100100 [1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>111001100100111100100100 [1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>110011110010011100100100 [1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>111001110010011100100100 [1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>111100110010011100100100 [1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>111110010010011100100100 [1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>110011001110011100100100 [1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>111001001110011100100100 [1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>111100100110011100100100 [1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>110011100110011100100100 [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>111001100110011100100100 [1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>110011110011001100100100 [1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>111001110011001100100100 [1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0]=>111111001001001100100100 [1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0]=>110011111001001100100100 [1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0]=>111001111001001100100100 [1,1,0,0,1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>110011110011100100100100 [1,1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>111001110011100100100100 [1,1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0]=>111111001001100100100100 [1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0]=>110011111001100100100100 [1,1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0]=>111001111001100100100100 [1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>111100110011001100100100 [1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0]=>111100111001001100100100 [1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>111110010011001100100100 [1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0]=>111110011001001100100100 [1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]=>111111001100100100100100 [1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]=>111111100100100100100100 [1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>111100110011100100100100 [1,1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0]=>111100111001100100100100 [1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>111110010011100100100100 [1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0]=>111110011001100100100100 [1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>110011001111001100100100 [1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>111001001111001100100100 [1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>111100100111001100100100 [1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>110011100111001100100100 [1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>111001100111001100100100 [1,1,0,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]=>110011111100100100100100 [1,1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]=>111001111100100100100100 [1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]=>111100111100100100100100 [1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]=>111110011100100100100100 [1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>110011001111100100100100 [1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>111001001111100100100100 [1,1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>111100100111100100100100 [1,1,0,0,1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>110011100111100100100100 [1,1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>111001100111100100100100 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>110011001100110011100100 [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>111001001100110011100100 [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>111100100100110011100100 [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>110011100100110011100100 [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>111001100100110011100100 [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>110011110010010011100100 [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>111001110010010011100100 [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>111100110010010011100100 [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>111110010010010011100100 [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>110011001110010011100100 [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>111001001110010011100100 [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>111100100110010011100100 [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>110011100110010011100100 [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>111001100110010011100100 [1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>110011001111001001100100 [1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>111001001111001001100100 [1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>111100100111001001100100 [1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>110011100111001001100100 [1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>111001100111001001100100 [1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>111100110011001001100100 [1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>111110010011001001100100 [1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0]=>111100111001001001100100 [1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0]=>111110011001001001100100 [1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>110011110011001001100100 [1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>111001110011001001100100 [1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0]=>111111001001001001100100 [1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0]=>110011111001001001100100 [1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0]=>111001111001001001100100 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>110011001100111001100100 [1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>111001001100111001100100 [1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>111100100100111001100100 [1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>110011100100111001100100 [1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>111001100100111001100100 [1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>110011110010011001100100 [1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>111001110010011001100100 [1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>111100110010011001100100 [1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>111110010010011001100100 [1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>110011001110011001100100 [1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>111001001110011001100100 [1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>111100100110011001100100 [1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>110011100110011001100100 [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>111001100110011001100100 [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0]=>111111111100000000001100 [1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0]=>111111111110010000000000 [1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0]=>111111111110100000000000 [1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0]=>101110110110110100000010 [1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>101100101110110110100000 [1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0]=>101101110110110100000100 [1,0,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0]=>101111011011010000010010 [1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>101101100101110110100000 [1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>101110010111011010000010 [1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,1,1,0,0]=>101101110110100000101100 [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,1,1,0,0,1,0]=>101111011010000010110010 [1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0]=>101101101110110100001000 [1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0]=>101110111011010000100010 [1,0,1,1,0,0,1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>101100101111011010000100 [1,0,1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0]=>101101111011010000100100 [1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0]=>101111101101000010010010 [1,0,1,1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0]=>101101101100101110100000 [1,0,1,1,1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,1,0]=>101110110010111010000010 [1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0]=>101100101110010111010000 [1,0,1,1,0,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,1,0,0]=>101101110010111010000100 [1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,1,0,0,1,0]=>101111001011101000010010 [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>101101100010110111010000 [1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>101110001011011101000010 [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]=>101101100100101111010000 [1,0,1,1,1,0,0,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>101110010010111101000010 [1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0]=>101101101110100001011000 [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0,1,0]=>101110111010000101100010 [1,0,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0]=>101100101111010000101100 [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,1,0,0]=>101101111010000101100100 [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,1,0,0,1,0]=>101111101000010110010010 [1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,0]=>101101101101110100010000 [1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,0,1,0]=>101110110111010001000010 [1,0,1,1,0,0,1,0,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]=>101100101110111010001000 [1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0]=>101101110111010001000100 [1,0,1,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0]=>101111011101000100010010 [1,0,1,1,0,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]=>101101100101111010001000 [1,0,1,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0]=>101110010111101000100010 [1,0,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,1,1,0,0]=>101101111010001000101100 [1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,1,1,0,0,1,0]=>101111101000100010110010 [1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,0]=>101101101111010001001000 [1,0,1,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0]=>101110111101000100100010 [1,0,1,1,0,0,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]=>101100101111101000100100 [1,0,1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0]=>101101111101000100100100 [1,0,1,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0]=>101111110100010010010010 [1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0]=>101101101101100101100000 [1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0]=>101110110110010110000010 [1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]=>101100101110110010110000 [1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0]=>101101110110010110000100 [1,0,1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,0]=>101111011001011000010010 [1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0]=>101101100101110010110000 [1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0]=>101110010111001011000010 [1,0,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0,1,1,0,0]=>101101110010110000101100 [1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0,1,1,0,0,1,0]=>101111001011000010110010 [1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0]=>101101101110010110001000 [1,0,1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0]=>101110111001011000100010 [1,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0]=>101100101111001011000100 [1,0,1,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0,0]=>101101111001011000100100 [1,0,1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0]=>101111100101100010010010 [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0]=>101101101100010110110000 [1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,1,0]=>101110110001011011000010 [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0]=>101100101110001011011000 [1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0]=>101101110001011011000100 [1,0,1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0]=>101111000101101100010010 [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,0]=>101101101100100101110000 [1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,0,1,0]=>101110110010010111000010 [1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0]=>101100101110010010111000 [1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,1,0,0]=>101101110010010111000100 [1,0,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,1,0,0,1,0]=>101111001001011100010010 [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,0]=>101101101100001011011000 [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,0]=>101101101100010010111000 [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0]=>101110110000101101100010 [1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,0,1,0]=>101110110001001011100010 [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>101101100010110010111000 [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>101110001011001011100010 [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0]=>101101110000101101100100 [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0]=>101101110001001011100100 [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>101111000010110110010010 [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0]=>101111000100101110010010 [1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0]=>101101101101100010110000 [1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0,1,0]=>101110110110001011000010 [1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0]=>101100101110110001011000 [1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0]=>101101110110001011000100 [1,0,1,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0,1,0]=>101111011000101100010010 [1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0]=>101101100101110001011000 [1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0]=>101110010111000101100010 [1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,0]=>101101110001011000101100 [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0]=>101111000101100010110010 [1,0,1,1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0]=>101101101110001011001000 [1,0,1,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0,1,0]=>101110111000101100100010 [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0]=>101100101111000101100100 [1,0,1,1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0]=>101101111000101100100100 [1,0,1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,1,0]=>101111100010110010010010 [1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0]=>101101101101101100100000 [1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0,1,0]=>101110110110110010000010 [1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>101100101110110110010000 [1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0]=>101101110110110010000100 [1,0,1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0,1,0]=>101111011011001000010010 [1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0]=>101101100101110110010000 [1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0]=>101110010111011001000010 [1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,1,1,0,0]=>101101110110010000101100 [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,1,1,0,0,1,0]=>101111011001000010110010 [1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,0]=>101101101110110010001000 [1,0,1,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,0,1,0]=>101110111011001000100010 [1,0,1,1,0,0,1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0]=>101100101111011001000100 [1,0,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0,0]=>101101111011001000100100 [1,0,1,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0]=>101111101100100010010010 [1,0,1,1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0]=>101101101100101110010000 [1,0,1,1,1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0,1,0]=>101110110010111001000010 [1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0]=>101100101110010111001000 [1,0,1,1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0]=>101101110010111001000100 [1,0,1,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0]=>101111001011100100010010 [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>101101100010110111001000 [1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>101110001011011100100010 [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0]=>101101100100101111001000 [1,0,1,1,1,0,0,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>101110010010111100100010 [1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,0]=>101101101110010001011000 [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0]=>101110111001000101100010 [1,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0]=>101100101111001000101100 [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0]=>101101111001000101100100 [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0]=>101111100100010110010010 [1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0]=>101101101101110010010000 [1,0,1,1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0,1,0]=>101110110111001001000010 [1,0,1,1,0,0,1,0,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]=>101100101110111001001000 [1,0,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0]=>101101110111001001000100 [1,0,1,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0]=>101111011100100100010010 [1,0,1,1,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0]=>101101100101111001001000 [1,0,1,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0]=>101110010111100100100010 [1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0]=>101101111001001000101100 [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0]=>101111100100100010110010 [1,0,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0]=>101101101111001001001000 [1,0,1,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0]=>101110111100100100100010 [1,0,1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>101100101111100100100100 [1,0,1,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]=>101101111100100100100100 [1,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]=>101111110010010010010010 [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>101100101010101010101010 [1,1,1,0,1,0,0,1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0,0]=>111010011110011010001000 [1,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0]=>110110101100011010110000 [1,0,1,0,1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0]=>101011001110101100101000 [1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0]=>111010110010100011001010 [1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0,0]=>111100101001110010100100 [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,1,0,0,1,0]=>110110110110000011010010 [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0]=>110110110110000010110100 [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0,1,0]=>101110110110000110100010 [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0]=>101110110110000100110100 [1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,0,1,0,0]=>111110110110000100100100 [1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>110100110110001110100100 [1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0]=>110100110110001101101000 [1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0]=>101101110110001101000010 [1,0,1,0,1,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,1,0,0]=>101011110110001101000100 [1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,1,0,0]=>101101110110001000110100 [1,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,1,0,0]=>111101110110001000100100 [1,0,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,0]=>101011110110001001101000 [1,1,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,0,1,0,0]=>111011110110001001000100 [1,1,0,1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0,0]=>110111110110001001001000 [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>101110100110001110100100 [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0]=>101110100110001101101000 [1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0,1,0,0]=>111110100110001101000100 [1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,0]=>111110100110001001101000 [1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0,1,0]=>111110100110001001001010 [1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>110100101110011101001000 [1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>110100101110011011010000 [1,0,1,1,0,1,0,0,1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>101101001110011101001000 [1,0,1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>101101001110011011010000 [1,0,1,1,0,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0,1,0]=>101101101110011010000010 [1,0,1,0,1,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0,0]=>101011101110011010000100 [1,1,1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0,0]=>111101001110011010000100 [1,0,1,0,1,1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0,0]=>101011011110011010001000 [1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,1,0,1,0,0]=>101101101110010000110100 [1,1,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,0,1,0,0]=>111101101110010000100100 [1,0,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,0]=>101011101110010001101000 [1,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0]=>111011101110010001000100 [1,1,0,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0,0]=>110111101110010001001000 [1,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,0]=>111101001110010001101000 [1,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,1,0]=>111101001110010001001010 [1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0]=>101011011110010011010000 [1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0]=>111010011110010011010000 [1,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,0,1,0,0]=>111011011110010010000100 [1,1,0,1,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,0]=>110111011110010010001000 [1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,1,0]=>111010011110010010001010 [1,1,0,1,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0]=>110110111110010010010000 [1,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0]=>110100111110010010010010 [1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0]=>101101110100001110100100 [1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0]=>101101110100001101101000 [1,1,1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0]=>111101110100001101000100 [1,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,0]=>111101110100001001101000 [1,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0,1,0]=>111101110100001001001010 [1,0,1,0,1,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0]=>101011110100011101001000 [1,0,1,0,1,1,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0]=>101011110100011011010000 [1,1,1,0,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0]=>111011110100011010000100 [1,1,0,1,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,0]=>110111110100011010001000 [1,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0]=>111011110100010001101000 [1,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0,1,0]=>111011110100010001001010 [1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,0]=>110111110100010011010000 [1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0,1,0]=>110111110100010010001010 [1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0]=>111110100100011101001000 [1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0]=>111110100100011011010000 [1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0,1,0]=>111110100100011010001010 [1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0,1,0]=>111110100100010011010010 [1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0]=>111110100100010010110100 [1,1,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0,0]=>111101101000011101001000 [1,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0]=>111101101000011011010000 [1,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,1,0]=>111101101000011010001010 [1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,1,0]=>111101101000010011010010 [1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,1,1,0,1,0,0]=>111101101000010010110100 [1,1,0,1,0,0,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0]=>110100101101111010010000 [1,1,0,1,0,0,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>110100101101110110100000 [1,0,1,1,0,1,0,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0]=>101101001101111010010000 [1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>101101001101110110100000 [1,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,0]=>101011101001111010010000 [1,0,1,0,1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>101011101001110110100000 [1,1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,0]=>111101001001111010010000 [1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>111101001001110110100000 [1,1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,0,0]=>111011010001111010010000 [1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>111011010001110110100000 [1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0]=>101101101101110100000010 [1,0,1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0]=>101011101101110100000100 [1,1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0]=>111101001101110100000100 [1,0,1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,0]=>101011011101110100001000 [1,1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,0]=>111010011101110100001000 [1,1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0]=>111011101001110100000100 [1,1,0,1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0,0,0]=>110111101001110100001000 [1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0,1,0]=>111101001001110100001010 [1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,0,1,0,1,0]=>111011010001110100001010 [1,0,1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>101011011011110100010000 [1,1,1,0,1,0,0,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>111010011011110100010000 [1,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>110111010011110100010000 [1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>111010010011110100010010 [1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>110110100011110100010010 [1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,1,0,0]=>101101101101100000110100 [1,1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,0,1,0,0]=>111101101101100000100100 [1,0,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0]=>101011101101100001101000 [1,1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0]=>111011101101100001000100 [1,1,0,1,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,0,0]=>110111101101100001001000 [1,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0]=>111101001101100001101000 [1,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,1,0]=>111101001101100001001010 [1,0,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0]=>101011011101100011010000 [1,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0]=>111010011101100011010000 [1,1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,1,0,0]=>111011011101100010000100 [1,1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0]=>110111011101100010001000 [1,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,1,0]=>111010011101100010001010 [1,1,0,1,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,0,0]=>110110111101100010010000 [1,1,0,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0]=>110100111101100010010010 [1,1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0,1,1,0,1,0,0,0]=>111011101001100001101000 [1,1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0,1,0,1,0]=>111011101001100001001010 [1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0,0]=>110111101001100011010000 [1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0,1,0,1,0]=>110111101001100010001010 [1,0,1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0]=>101111101001100010010010 [1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,1,0]=>111101001001100011010010 [1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0]=>111101001001100010110100 [1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0,1,1,0,1,0,0,1,0]=>111011010001100011010010 [1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0]=>111011010001100010110100 [1,0,1,0,1,1,0,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>101011011011100110100000 [1,1,1,0,1,0,0,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>111010011011100110100000 [1,1,0,1,1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>110111010011100110100000 [1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>111010010011100110100010 [1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>110110100011100110100010 [1,1,1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0,0]=>111011011011100100000100 [1,1,0,1,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,0,0]=>110111011011100100001000 [1,1,1,0,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,1,0]=>111010011011100100001010 [1,1,0,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0]=>110110111011100100010000 [1,1,0,1,0,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0]=>110100111011100100010010 [1,1,0,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,0,1,0,1,0]=>110111010011100100001010 [1,0,1,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0]=>101111010011100100010010 [1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>111010010011100100110100 [1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>110110100011100100110100 [1,1,0,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0]=>110110110111100100100000 [1,1,0,1,0,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0]=>110100110111100100100010 [1,0,1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0]=>101110100111100100100010 [1,1,0,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>110100101111100100100100 [1,0,1,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>101101001111100100100100 [1,1,0,1,1,1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0,0,0]=>110111011100110010100000 [1,1,0,1,1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0,0]=>110111011001111000001000 [1,1,0,1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,0]=>110111011100101100100000 [1,1,0,1,1,1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0]=>110111011001101110000000 [1,1,0,1,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0]=>110111001111010010001000 [1,1,0,1,1,1,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0,0]=>110111001111000110100000 [1,1,0,1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0,0]=>110111011010011100001000 [1,1,0,1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0]=>110111001110110100001000 [1,1,0,1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0,0,0]=>110111011110001001100000 [1,1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0]=>110111011011001011000000 [1,1,0,1,1,1,0,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0]=>110111001111100001100000 [1,1,0,1,1,1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0,0,0]=>110111011010110011000000 [1,1,0,1,1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0]=>110111001110111001000000 [1,1,0,1,1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0]=>110110110101110010001000 [1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0]=>110110110101100110100000 [1,1,0,1,1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0]=>110110110100111100001000 [1,1,0,1,1,0,1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0]=>110110110101101001100000 [1,1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0,0,0]=>110110110100111011000000 [1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>110111100011010110001000 [1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>110111100011010011100000 [1,1,0,1,1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0,0,0]=>110110111001010110001000 [1,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,0,0]=>110110111001010011100000 [1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0,0]=>110111110010001101001000 [1,1,0,1,1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0,1,0,0,0]=>110111100110100101001000 [1,1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0,0,0]=>110110111100001101001000 [1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0]=>110111101001100101001000 [1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0,0,0]=>110110111011000101001000 [1,1,0,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,0,0]=>110111110110001000110000 [1,1,0,1,1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0]=>110111110011001010010000 [1,1,0,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0]=>110111100111100000110000 [1,1,0,1,1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,0]=>110111110010110010010000 [1,1,0,1,1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0]=>110111100110111000010000 [1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0,0]=>110110111101001000110000 [1,1,0,1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,0,0]=>110110111100011010010000 [1,1,0,1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,0,0,0]=>110111101001110000110000 [1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,0,0]=>110110111011010000110000 [1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0]=>110111111000100110010000 [1,1,0,1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,0]=>110111101100101100010000 [1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0,0,0]=>110110111110000110010000 [1,1,0,1,1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0,0]=>110111101011001100010000 [1,1,1,0,0,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0]=>111001011101110010001000 [1,1,1,0,0,1,0,1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0]=>111001011101100110100000 [1,1,1,0,0,1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0]=>111001011100111100001000 [1,1,1,0,0,1,0,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0]=>111001011101101001100000 [1,1,1,0,0,1,0,1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,0]=>111001011100111011000000 [1,1,1,0,0,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>111001011011010110001000 [1,1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>111001011011010011100000 [1,1,1,0,0,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,0]=>111001011110001101001000 [1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0]=>111001011011100101001000 [1,1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0,0]=>111001011111001000110000 [1,1,1,0,0,1,0,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,0]=>111001011110011010010000 [1,1,1,0,0,1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>111001011011110000110000 [1,1,1,0,0,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0]=>111001011110100110010000 [1,1,1,0,0,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>111001011011101100010000 [1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]=>111100100101110110001000 [1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>111100100101110011100000 [1,1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0]=>111100100101101101001000 [1,1,1,1,0,0,1,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>111100100101111000110000 [1,1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]=>111100100101101110010000 [1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]=>111011000101110110001000 [1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>111011000101110011100000 [1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0]=>111011000101101101001000 [1,1,1,0,1,1,0,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>111011000101111000110000 [1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]=>111011000101101110010000 [1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0]=>111101100010010111001000 [1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,0]=>111101100010010110110000 [1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,1,1,0,0,1,0,0,0]=>111100111000010111001000 [1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,0,0]=>111100111000010110110000 [1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0]=>111011010010010111001000 [1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,0]=>111011010010010110110000 [1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0]=>111110001100010111001000 [1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0]=>111110001100010110110000 [1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0]=>111011100100010111001000 [1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0]=>111011100100010110110000 [1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,0]=>111101110010001001011000 [1,1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0]=>111101100110100001011000 [1,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,1,0,1,1,0,0,0]=>111100111100001001011000 [1,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,1,0,1,1,0,0,0]=>111101101001100001011000 [1,1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0,1,1,0,0,0]=>111100111011000001011000 [1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0]=>111011010110001001011000 [1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>111011010011100001011000 [1,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0]=>111110001101001001011000 [1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0]=>111011100101001001011000 [1,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0]=>111111001000110001011000 [1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,1,0,1,1,0,0,0]=>111110011010010001011000 [1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0]=>111011110000110001011000 [1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,0,0]=>111110100110010001011000 [1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,1,1,0,0,0]=>111011101100010001011000 [1,1,1,1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0,0,1,0,0]=>111101110011001010000100 [1,1,1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0]=>111101100111100000100100 [1,1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,0,0]=>111101110010110010000100 [1,1,1,1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0]=>111101100110111000000100 [1,1,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0]=>111100111101001000100100 [1,1,1,1,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0]=>111100111100011010000100 [1,1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0,1,0,0]=>111101101001110000100100 [1,1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0]=>111100111011010000100100 [1,1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0]=>111101111000100110000100 [1,1,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0,0]=>111101101100101100000100 [1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,1,0,0]=>111100111110000110000100 [1,1,1,1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0,0,1,0,0]=>111101101011001100000100 [1,1,1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0,0]=>111100111011100100000100 [1,1,1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0]=>111011010111001000100100 [1,1,1,0,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,0]=>111011010110011010000100 [1,1,1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>111011010011110000100100 [1,1,1,0,1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0]=>111011010110100110000100 [1,1,1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>111011010011101100000100 [1,1,1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,0]=>111110001101011000100100 [1,1,1,1,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0]=>111110001101001110000100 [1,1,1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0,0,1,0,0]=>111011100101011000100100 [1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0]=>111011100101001110000100 [1,1,1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0,1,0,0]=>111111001000110100100100 [1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0]=>111110011010010100100100 [1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,0]=>111011110000110100100100 [1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0]=>111110100110010100100100 [1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0,0]=>111011101100010100100100 [1,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0]=>111111011000100011000100 [1,1,1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0]=>111111001100101001000100 [1,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,1,0,0,0,1,0,0]=>111110011110000011000100 [1,1,1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,1,0,0]=>111111001011001001000100 [1,1,1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0,1,0,0]=>111110011011100001000100 [1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0,1,0,0]=>111011110100100011000100 [1,1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0]=>111011110001101001000100 [1,1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0]=>111110100111000011000100 [1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,0,1,0,0]=>111011101101000011000100 [1,1,1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0,0,1,0,0]=>111111100010011001000100 [1,1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0,0]=>111110110010110001000100 [1,1,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0]=>111011111000011001000100 [1,1,1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0,1,0,0]=>111110101100110001000100 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>110011001100110011011000 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>110011001100110110001100 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>110011001100110110011000 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>110011001100110110110000 [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>110011001101100011001100 [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>110011001101100011011000 [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>110011001101100110001100 [1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0]=>110011001101101100001100 [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>110011001101100110011000 [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>110011001101100110110000 [1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>110011001101101100011000 [1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]=>110011001101101100110000 [1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>110011001101101101100000 [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>110011011000110011001100 [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>110011011000110011011000 [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>110011011000110110001100 [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>110011011000110110011000 [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>110011011000110110110000 [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>110011011001100011001100 [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>110011011001100011011000 [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>110011011011000011001100 [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0]=>110011011011000011011000 [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>110011011001100110001100 [1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0]=>110011011001101100001100 [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0]=>110011011011000110001100 [1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>110011011011001100001100 [1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>110011011011011000001100 [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>110011011001100110011000 [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>110011011001100110110000 [1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>110011011001101100011000 [1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0]=>110011011001101100110000 [1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>110011011001101101100000 [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>110011011011000110011000 [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0]=>110011011011000110110000 [1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>110011011011001100011000 [1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0]=>110011011011011000011000 [1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>110011011011001100110000 [1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>110011011011001101100000 [1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>110011011011011000110000 [1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>110011011011011001100000 [1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>110011011011011011000000 [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>110110001100110011001100 [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>110110001100110011011000 [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>110110001100110110001100 [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>110110001100110110011000 [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>110110001100110110110000 [1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>110110001101100011001100 [1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>110110001101100011011000 [1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>110110001101100110001100 [1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0]=>110110001101101100001100 [1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>110110001101100110011000 [1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>110110001101100110110000 [1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>110110001101101100011000 [1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]=>110110001101101100110000 [1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>110110001101101101100000 [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>110110011000110011001100 [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>110110011000110011011000 [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>110110011000110110001100 [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>110110011000110110011000 [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>110110011000110110110000 [1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>110110110000110011001100 [1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>110110110000110011011000 [1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>110110110000110110001100 [1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>110110110000110110011000 [1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>110110110000110110110000 [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>110110011001100011001100 [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>110110011001100011011000 [1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>110110011011000011001100 [1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0]=>110110011011000011011000 [1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>110110110001100011001100 [1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>110110110001100011011000 [1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>110110110011000011001100 [1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0]=>110110110011000011011000 [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0]=>110110110110000011001100 [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,1,1,0,0,0]=>110110110110000011011000 [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>110110011001100110001100 [1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0]=>110110011001101100001100 [1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0]=>110110011011000110001100 [1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>110110011011001100001100 [1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>110110011011011000001100 [1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>110110110001100110001100 [1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0]=>110110110001101100001100 [1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0]=>110110110011000110001100 [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,1,1,0,0]=>110110110110000110001100 [1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>110110110011001100001100 [1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>110110110011011000001100 [1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,1,0,0]=>110110110110001100001100 [1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0,1,1,0,0]=>110110110110011000001100 [1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0]=>110110110110110000001100 [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>110110011001100110011000 [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>110110011001100110110000 [1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>110110011001101100011000 [1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0]=>110110011001101100110000 [1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>110110011001101101100000 [1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>110110011011000110011000 [1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0]=>110110011011000110110000 [1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>110110011011001100011000 [1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0]=>110110011011011000011000 [1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>110110011011001100110000 [1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>110110011011001101100000 [1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>110110011011011000110000 [1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>110110011011011001100000 [1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>110110011011011011000000 [1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>110110110001100110011000 [1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>110110110001100110110000 [1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>110110110001101100011000 [1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0]=>110110110001101100110000 [1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>110110110001101101100000 [1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>110110110011000110011000 [1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0]=>110110110011000110110000 [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0,0]=>110110110110000110011000 [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0]=>110110110110000110110000 [1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>110110110011001100011000 [1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0]=>110110110011011000011000 [1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,0]=>110110110110001100011000 [1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0,0]=>110110110110011000011000 [1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,0]=>110110110110110000011000 [1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>110110110011001100110000 [1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>110110110011001101100000 [1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>110110110011011000110000 [1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>110110110011011001100000 [1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>110110110011011011000000 [1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0,0]=>110110110110001100110000 [1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0,0]=>110110110110001101100000 [1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0,0]=>110110110110011000110000 [1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0]=>110110110110110000110000 [1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0]=>110110110110011001100000 [1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0,0]=>110110110110011011000000 [1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,0]=>110110110110110001100000 [1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0]=>110110110110110011000000 [1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0]=>110110110110110110000000 [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>110100101010101010101010 [1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>110011011011011010100000 [1,1,0,0,1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>110011011011101010010000 [1,1,0,0,1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0]=>110011011101011001010000 [1,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0]=>110011011101101010001000 [1,1,0,0,1,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0]=>110011011110101001001000 [1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0]=>110011101011001101010000 [1,1,0,0,1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0]=>110011101011100101001000 [1,1,0,0,1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0]=>110011101101011000101000 [1,1,0,0,1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0,0]=>110011110101001100101000 [1,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0]=>110011101101101010000100 [1,1,0,0,1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0]=>110011101110101001000100 [1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0]=>110011110101100101000100 [1,1,0,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0]=>110011110110101000100100 [1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0]=>110011111010100100100100 [1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0]=>111001011001101101010000 [1,1,1,0,0,1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0]=>111001011001110101001000 [1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0]=>111001011100101100101000 [1,1,1,0,0,1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0]=>111001011100110101000100 [1,1,1,0,0,1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0]=>111001011110010100100100 [1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,0]=>111001101011000110101000 [1,1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0,0]=>111001101011100010100100 [1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0,0]=>111100101001100110101000 [1,1,1,0,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,0]=>111001101101011000010100 [1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,1,0,0]=>111001110101001100010100 [1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0,0]=>111100101100101100010100 [1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0,0]=>111100110101000110010100 [1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0,0]=>111110010100100110010100 [1,1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,1,0]=>111001101101101010000010 [1,1,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0,1,0]=>111001101110101001000010 [1,1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0,1,0]=>111001110101100101000010 [1,1,1,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0,1,0]=>111001110110101000100010 [1,1,1,0,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0]=>111001111010100100100010 [1,1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,1,0]=>111100101100110101000010 [1,1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0]=>111100101110010100100010 [1,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0,1,0]=>111100110101100010100010 [1,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0,0,1,0]=>111110010100110010100010 [1,1,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0,1,0]=>111100110110101000010010 [1,1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0]=>111100111010100100010010 [1,1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0]=>111110010110010100010010 [1,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0]=>111110011010100010010010 [1,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]=>111111001010010010010010 [1,0,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]=>101011001101101101010000 [1,0,1,0,1,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0]=>101011001101110101001000 [1,0,1,0,1,1,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0]=>101011001110110101000100 [1,0,1,0,1,1,0,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0]=>101011001111010100100100 [1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0]=>101011100101100110101000 [1,0,1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0]=>101011100101110010100100 [1,0,1,0,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0]=>101011100110101100010100 [1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0]=>101011110010100110010100 [1,0,1,0,1,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0]=>101011100110110101000010 [1,0,1,0,1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0]=>101011100111010100100010 [1,0,1,0,1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0]=>101011110010110010100010 [1,0,1,0,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0]=>101011110011010100010010 [1,0,1,0,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0]=>101011111001010010010010 [1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0,1,0,0,0]=>101101011000110110101000 [1,0,1,1,0,1,0,1,1,0,0,0,1,1,1,0,1,0,1,0,0,1,0,0]=>101101011000111010100100 [1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0]=>101101011100010110010100 [1,0,1,1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0,1,0]=>101101011100011010100010 [1,0,1,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0]=>101101011110001010010010 [1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0]=>110101001100110110101000 [1,1,0,1,0,1,0,0,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0]=>110101001100111010100100 [1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0]=>110101001110010110010100 [1,1,0,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0]=>110101001110011010100010 [1,1,0,1,0,1,0,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0]=>110101001111001010010010 [1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,1,0,1,0,1,0,0]=>101101101011000011010100 [1,0,1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0,1,0]=>101101101011100001010010 [1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,0,0]=>101110101001100011010100 [1,0,1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0,1,0]=>101110101001110001010010 [1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0]=>110101100101100011010100 [1,1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0]=>110101100101110001010010 [1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,1,0,0]=>110110101000110011010100 [1,1,0,1,1,0,1,0,1,0,0,0,1,1,1,0,0,1,0,1,0,0,1,0]=>110110101000111001010010 [1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]=>111010100100110011010100 [1,1,1,0,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0]=>111010100100111001010010 [1,0,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,1,0,1,0]=>101101101101011000001010 [1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,1,0,1,0]=>101101110101001100001010 [1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,1,0]=>101110101100101100001010 [1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0,1,0,1,0]=>101110110101000110001010 [1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0,1,0,1,0]=>101111010100100110001010 [1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0]=>110101100110101100001010 [1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,1,0,1,0]=>110101110010100110001010 [1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,1,0]=>110110101100010110001010 [1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0]=>111010100110010110001010 [1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0,1,0,1,0]=>110110110101000011001010 [1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0,1,0,1,0]=>110111010100100011001010 [1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0,1,0]=>111011010100010011001010 [1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0]=>111101010010010011001010 [1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0]=>101101101101101011000000 [1,0,1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,0]=>101101101110101001100000 [1,0,1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0]=>101101110101100101100000 [1,0,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0,0]=>101101110110101000110000 [1,0,1,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0,0]=>101101111010100100110000 [1,0,1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0,0]=>101110101100110101100000 [1,0,1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0]=>101110101110010100110000 [1,0,1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0]=>101110110101100010110000 [1,0,1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,0]=>101111010100110010110000 [1,0,1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0,0]=>101110110110101000011000 [1,0,1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0,0]=>101110111010100100011000 [1,0,1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0,0]=>101111010110010100011000 [1,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0,0]=>101111011010100010011000 [1,0,1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0]=>101111101010010010011000 [1,1,0,1,0,1,1,0,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]=>110101100110110101100000 [1,1,0,1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0]=>110101100111010100110000 [1,1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0]=>110101110010110010110000 [1,1,0,1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0]=>110101110011010100011000 [1,1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0,0]=>110101111001010010011000 [1,1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0,0]=>110110101110001010011000 [1,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0]=>111010100110011010110000 [1,1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0]=>111010100111001010011000 [1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,1,0,0,0]=>110110110101100001011000 [1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0]=>110111010100110001011000 [1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0]=>111010110010110001011000 [1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,1,1,0,0,0]=>111011010100011001011000 [1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0]=>111101010010011001011000 [1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,1,1,0,0]=>110110110110101000001100 [1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0,1,1,0,0]=>110110111010100100001100 [1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0]=>110111010110010100001100 [1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0,1,1,0,0]=>110111011010100010001100 [1,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,0]=>110111101010010010001100 [1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0]=>111010110011010100001100 [1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0,1,1,0,0]=>111010111001010010001100 [1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0,1,1,0,0]=>111011010110001010001100 [1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0]=>111101010011001010001100 [1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0,1,1,0,0]=>111011011010100001001100 [1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0]=>111011101010010001001100 [1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,1,0,0]=>111101011001010001001100 [1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,0]=>111101101010001001001100 [1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0]=>111110101001001001001100 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>101100110011001100110010 [1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0]=>111111111110001000000000 [1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0]=>111111111101100000000000 [1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0]=>111111010101010100000010 [1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]=>101111110101010101000000 [1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,0]=>111111001100100100101000 [1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0,0]=>111110011100100101000100 [1,1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0]=>111111001001100101001000 [1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0,0,0]=>111110011001100101010000 [1,1,1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0,0]=>111100111100101000100100 [1,1,1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0,0,0]=>111100111001101000101000 [1,1,1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>111110010011101001000100 [1,1,1,1,0,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0,1,0,0]=>111100110011101010000100 [1,1,1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0]=>111111001001011001001000 [1,1,1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0]=>111110011001011001010000 [1,1,1,1,0,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,0]=>111100111001011010001000 [1,1,1,1,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>111110010011011010010000 [1,1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>111100110011011010100000 [1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0]=>111001111101000100100100 [1,1,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0]=>111001111011000100101000 [1,1,1,0,0,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0,1,0,0]=>111001110111000101000100 [1,1,1,0,0,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,0,0]=>111001111010001101001000 [1,1,1,0,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,0,0]=>111001110110001101010000 [1,1,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0]=>111100101111001000100100 [1,1,1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0,0]=>111100101110011000101000 [1,1,1,0,0,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0,0]=>111001101111010000100100 [1,1,1,0,0,1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0,0]=>111001101110110000101000 [1,1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0]=>111110010100111001000100 [1,1,1,1,0,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0,0]=>111100110100111010000100 [1,1,1,0,0,1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0,1,0,0]=>111001110101110001000100 [1,1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,0]=>111100101101110010000100 [1,1,1,0,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0]=>111001101101110100000100 [1,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,0]=>111111001010010011001000 [1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0]=>111110011010010011010000 [1,1,1,1,0,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0]=>111100111010010110001000 [1,1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0]=>111110010110010110010000 [1,1,1,1,0,0,1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0,0,0]=>111100110110010110100000 [1,1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,0]=>111001111010100011001000 [1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0]=>111001110110100011010000 [1,1,1,1,0,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0]=>111100101110100110001000 [1,1,1,0,0,1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0]=>111001101110101100001000 [1,1,1,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0,0,0]=>111110010101100110010000 [1,1,1,1,0,0,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0]=>111100110101100110100000 [1,1,1,0,0,1,1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0]=>111001110101101100010000 [1,1,1,1,0,0,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0]=>111100101101101100100000 [1,1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0]=>111001101101101101000000 [1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0]=>110111111000100100100100 [1,1,0,1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0,1,0,0,0]=>110111110001100100101000 [1,1,0,1,1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0]=>110111100011100101000100 [1,1,0,1,1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0,1,0,0,0]=>110111110001001101001000 [1,1,0,1,1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0]=>110111100011001101010000 [1,1,0,1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]=>110111000111101000100100 [1,1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]=>110111000111011000101000 [1,1,0,1,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0]=>110111100010111001000100 [1,1,0,1,1,1,0,0,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]=>110111000110111010000100 [1,1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0]=>110111110001010011001000 [1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>110111100011010011010000 [1,1,0,1,1,1,0,0,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>110111000111010110001000 [1,1,0,1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>110111100010110110010000 [1,1,0,1,1,1,0,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>110111000110110110100000 [1,1,1,0,1,0,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0]=>111010011111000100100100 [1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0,0]=>111010011110001100101000 [1,1,1,0,1,0,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0,0]=>111010011100011101000100 [1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0]=>111010011110001011001000 [1,1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0]=>111010011100011011010000 [1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0,1,0,0]=>110110111110000100100100 [1,1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0]=>110110111100001100101000 [1,1,0,1,1,0,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0,1,0,0]=>110110111000011101000100 [1,1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0,0,0]=>110110111100001011001000 [1,1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0]=>110110111000011011010000 [1,1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,0]=>111101001001111000100100 [1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0,0]=>111101001001110001101000 [1,1,1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>111011001011110000100100 [1,1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>111011001011100001101000 [1,1,0,1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,1,0,0,1,0,0]=>110111010001111000100100 [1,1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,1,0,1,0,0,0]=>110111010001110001101000 [1,1,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>111010110011110000100100 [1,1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>111010110011100001101000 [1,1,0,1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0]=>110110110111100000100100 [1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,1,0,1,0,0,0]=>110110110111000001101000 [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0]=>111110100100100111000100 [1,1,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,0,1,0,0]=>111101100100101110000100 [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0]=>111011100101000111000100 [1,1,1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0]=>111101001101001110000100 [1,1,1,0,1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0,0]=>111011001101011100000100 [1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,0,0]=>110111101000100111000100 [1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0,0,1,0,0]=>110111011000101110000100 [1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0,1,0,0]=>111010111001000111000100 [1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0,1,0,0]=>110110111010000111000100 [1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0,0,1,0,0]=>111101010011001110000100 [1,1,1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>111011010011011100000100 [1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,0,1,0,0]=>110111010110001110000100 [1,1,1,0,1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0,1,0,0]=>111010110110011100000100 [1,1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0]=>110110110110111000000100 [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0]=>111111010010010010011000 [1,1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,1,1,0,0,0,0]=>111110110010010010110000 [1,1,1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,1,0,0,0]=>111101110010010100011000 [1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0]=>111110100110010100110000 [1,1,1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0,0,0,0]=>111101100110010101100000 [1,1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0,1,1,0,0,0]=>111011110010100010011000 [1,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,1,0,0,0,0]=>111011100110100010110000 [1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0]=>111101001110100100011000 [1,1,1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0,0]=>111011001110101000011000 [1,1,1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0]=>111110100101100100110000 [1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0]=>111101100101100101100000 [1,1,1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,1,0,0,0,0]=>111011100101101000110000 [1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0]=>111101001101101001100000 [1,1,1,0,1,1,0,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0]=>111011001101101011000000 [1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,0,0]=>110111110100010010011000 [1,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0,0]=>110111101100010010110000 [1,1,0,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0,1,1,0,0,0]=>110111011100010100011000 [1,1,0,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,1,0,0,0,0]=>110111101000110100110000 [1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,0]=>110111011000110101100000 [1,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,0,0]=>111010111100100010011000 [1,1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0,0]=>111010111001100010110000 [1,1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0,1,1,0,0,0]=>110110111101000010011000 [1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0,0,0]=>110110111011000010110000 [1,1,1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0]=>111101010011100100011000 [1,1,1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,1,1,0,0,0]=>111011010011101000011000 [1,1,0,1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0,1,1,0,0,0]=>110111010111000100011000 [1,1,1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0]=>111010110111001000011000 [1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,1,1,0,0,0]=>110110110111010000011000 [1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0,0]=>111110101001001100110000 [1,1,1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,0,0]=>111101101001001101100000 [1,1,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0]=>111011101001011000110000 [1,1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0,0,0]=>111101011001011001100000 [1,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0,0]=>111011011001011011000000 [1,1,0,1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,1,0,0,0,0]=>110111101010001100110000 [1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,0,0]=>110111011010001101100000 [1,1,1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0,0]=>111010111010011000110000 [1,1,0,1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0]=>110110111010110000110000 [1,1,1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0]=>111101010110011001100000 [1,1,1,0,1,1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0,0]=>111011010110011011000000 [1,1,0,1,1,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,0]=>110111010110110001100000 [1,1,1,0,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0]=>111010110110110011000000 [1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0]=>111111010101010110000000 [1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0,0]=>110011101110010100101000 [1,1,0,0,1,1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0]=>110011101100101101010000 [1,1,0,0,1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0]=>110011111011100100010000 [1,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0]=>110011111010010010100100 [1,1,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0]=>110011110100110101000100 [1,1,0,0,1,1,0,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>110011010110111001010000 [1,1,0,0,1,1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>110011010111101001000100 [1,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0]=>110011011101101000010100 [1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0]=>110011110101100010010100 [1,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,0]=>110011011101010011010000 [1,1,0,0,1,1,0,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>110011011010110110100000 [1,1,0,0,1,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0]=>110011110111011000100000 [1,1,0,0,1,1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0,0,0]=>110011110101001011001000 [1,1,0,0,1,1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>110011101011010110001000 [1,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0]=>111100111000111001010000 [1,1,1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0,1,0,0]=>111100111110001001000100 [1,1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0,1,0,0]=>111100110001011010010100 [1,1,1,1,0,0,1,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>111100110001110110100000 [1,1,1,1,0,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0,0]=>111100111100010110001000 [1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0]=>111100100101110010010100 [1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0]=>111100100101100101101000 [1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0]=>111001011011100010010100 [1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0]=>111001011011000101101000 [1,1,1,1,0,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0,0,0]=>111100111001011100001000 [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,1,1,0,0,1,0,0,0]=>111111001001000111001000 [1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0]=>111001011010010111001000 [1,1,1,0,0,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0]=>111001110110111000001000 [1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0]=>111110010110001110001000 [1,1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0,0,1,0]=>111100111001010010100010 [1,1,1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,0]=>111100110010110101000010 [1,1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0,1,0]=>111111001110010001000010 [1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0]=>111111001001001010010010 [1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0]=>111110010011010100010010 [1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0]=>111001011011100101000010 [1,1,1,0,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0]=>111001011110100100010010 [1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0,1,0]=>111001110110100001010010 [1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,1,0]=>111110010110001001010010 [1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0]=>111001110101001101000010 [1,1,1,0,0,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>111001101011011010000010 [1,1,1,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0,1,0]=>111110011101100010000010 [1,1,1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0,1,0,0,0,1,0]=>111110010100101100100010 [1,1,1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,0]=>111100101101011000100010 [1,0,1,0,1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>101011001110111001010000 [1,0,1,0,1,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>101011001111101001000100 [1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]=>101011001101011010010100 [1,0,1,0,1,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>101011001101110110100000 [1,0,1,0,1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>101011001111010110001000 [1,0,1,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0]=>101011110011100010010100 [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0]=>101011110011000101101000 [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0]=>101011110010010111001000 [1,0,1,0,1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0]=>101011100101101110001000 [1,0,1,0,1,1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0]=>101011110011100101000010 [1,0,1,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0]=>101011111100100100010010 [1,0,1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0]=>101011100101101001010010 [1,0,1,0,1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>101011100111011010000010 [1,0,1,0,1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0]=>101011111001011000100010 [1,0,1,1,1,0,1,1,0,0,0,0,1,1,1,0,1,0,0,1,0,1,0,0]=>101110110000111010010100 [1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,1,1,0,1,0,0,0]=>101110110000110101101000 [1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,0,0]=>101110111100001110001000 [1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,0,1,0]=>101110111100001001010010 [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0,0,1,0]=>101110111000010110100010 [1,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0]=>111010001100111010010100 [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0]=>111010001100110101101000 [1,1,1,0,1,0,0,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>111010001111001110001000 [1,1,1,0,1,0,0,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0]=>111010001111001001010010 [1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0]=>111010001110010110100010 [1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0]=>101110100101100011101000 [1,0,1,1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0]=>101110100101111000100010 [1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>101101011011000011101000 [1,0,1,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>101101011011110000100010 [1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>111011100011000011101000 [1,1,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>111011100011110000100010 [1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>111010010100110011101000 [1,1,1,0,1,0,0,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0]=>111010010100111100100010 [1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>110101101000110011101000 [1,1,0,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,1,0,0,0,1,0]=>110101101000111100100010 [1,0,1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0,1,0]=>101110111001011000001010 [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0,1,0,1,0]=>101111101001000110001010 [1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,1,0]=>101101011010010110001010 [1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,0,1,0]=>101101110110110000001010 [1,0,1,1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0,1,0]=>101111010110001100001010 [1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0,1,0,1,0]=>111011100010010110001010 [1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0]=>111011000101101100001010 [1,1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0]=>111010010111001100001010 [1,1,0,1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0,1,0]=>110101101110001100001010 [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0,1,0,1,0]=>111011100101000011001010 [1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0,1,0,1,0]=>111110100100010011001010 [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0]=>110101101001010011001010 [1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0,1,0]=>110111011010000011001010 [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0]=>111101011000100011001010 [1,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0,0,0]=>101110111001010010110000 [1,0,1,1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0,0,0]=>101110110010110101100000 [1,0,1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0,0,0]=>101111101110010001100000 [1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,0]=>101111101001001010011000 [1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0]=>101111010011010100011000 [1,0,1,1,0,1,0,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>101101011011100101100000 [1,0,1,1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0]=>101101011110100100011000 [1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0]=>101101110110100001011000 [1,0,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0]=>101111010110001001011000 [1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0,0,0]=>101101110101001101100000 [1,0,1,1,0,1,1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>101101101011011011000000 [1,0,1,1,1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0,0,0]=>101111011101100011000000 [1,0,1,1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0,0,0]=>101111010100101100110000 [1,0,1,1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0,0]=>101110101101011000110000 [1,1,1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>111011100011100101100000 [1,1,1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0]=>111011111000100100011000 [1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0]=>111011000101101001011000 [1,1,1,0,1,1,0,0,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>111011000111011011000000 [1,1,1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0]=>111011110001011000110000 [1,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0]=>111010010111001001011000 [1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0]=>111010010110010110110000 [1,1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0]=>110101101110001001011000 [1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0]=>110101101100010110110000 [1,1,1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,1,0,0,0,0]=>111011100101110000110000 [1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,0,1,1,0,0,0,0]=>111110100100011100110000 [1,1,0,1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0]=>110101101001011100110000 [1,1,0,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0,0,0]=>110111011011100000110000 [1,1,1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,0,0]=>111101011000111000110000 [1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0,0,1,1,0,0]=>111011100101001010001100 [1,1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0]=>111011001011010100001100 [1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0]=>111110111001000100001100 [1,1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0]=>111110100100101001001100 [1,1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0]=>111101001101010001001100 [1,1,0,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0]=>110101101110010100001100 [1,1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0]=>110101111010010001001100 [1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0,1,1,0,0]=>110111011010000101001100 [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0]=>111101011000100101001100 [1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,0]=>110111010100110100001100 [1,1,0,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0]=>110110101101101000001100 [1,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0,1,1,0,0]=>111101110110001000001100 [1,1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0,0,0,1,1,0,0]=>111101010010110010001100 [1,1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0]=>111010110101100010001100 [1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>111000101100101111000010 [1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>110110001100101011110000 [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0]=>110010111001001111000010 [1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>110101100011001011110000 [1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0]=>110100111001001111000010 [1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0]=>111000101100101101110000 [1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0,1,1,0,0,1,0,1,0]=>111011100001100011001010 [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,1,0,0,0,0]=>110010111001010011110000 [1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0]=>111000101101001101110000 [1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0]=>111110000101100100110010 [1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>110101100011010011110000 [1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0]=>111011100001100100110010 [1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]=>110110001101010011110000 [1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0]=>111001001101001101110000 [1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0,1,1,1,1,0,0,0,0]=>110010111010001011110000 [1,1,1,1,1,0,0,0,0,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0]=>111110000100111010001010 [1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>110010110110100011110000 [1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0]=>111110000101001110100010 [1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>110100110110100011110000 [1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0,1,1,1,0,0,0,1,0]=>111011100010001011100010 [1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0,1,1,1,0,0,0,1,0]=>110110111000100011100010 [1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,1,1,0,1,0,0,0,1,0]=>111110001000101110100010 [1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,1,1,0,1,0,0,0,1,0]=>110111100010001110100010 [1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0]=>111000101101100101110000 [1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,1,0,0]=>111110001000101110010100 [1,1,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0]=>111000101101101001110000 [1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0]=>111110001010001011100100 [1,1,1,0,1,0,0,0,1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>111010001011101001110000 [1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]=>110110010110010011110000 [1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0]=>111001010110001101110000 [1,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>110111100010011001001100 [1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,1,0,0,0,0]=>111001011000110101110000 [1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,1,0,0]=>111110001001100100110100 [1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>110110010110100011110000 [1,1,1,0,0,1,0,1,0,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>111001010011101001110000 [1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0,0,1,1,0,0]=>110111100010100110001100 [1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>110110100110100011110000 [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0]=>111001001110010111000100 [1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,1,0,0,0,0]=>111010011000110101110000 [1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0]=>111001001110100111000100 [1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0]=>111010100110001101110000 [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,1,0,0]=>111010011010001111000100 [1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,1,0,0]=>110010111110010000101100 [1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]=>111001001111100100001010 [1,1,0,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>110010110111100100001100 [1,1,1,0,0,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>111001010011111001000010 [1,1,0,1,0,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>110100110111100100001100 [1,1,1,0,1,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>111010001011111001000010 [1,1,0,1,1,0,1,0,0,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>110110100011111001000010 [1,1,1,0,0,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0]=>111000101101111001000100 [1,1,1,0,1,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>111010001011111001000100 [1,1,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>110110010111100100001100 [1,1,1,0,0,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>111001010011111001000100 [1,1,0,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>110110100111100100001100 [1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0]=>111001001111100100010100 [1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,1,0,0]=>111010011110010000110100 [1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0]=>111110010110000010110010 [1,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,1,1,0,0,1,0]=>110111100101100000110010 [1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0]=>111110010110000010110100 [1,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,1,0,0]=>110111100101100001001100 [1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0]=>111110010110000100110100 [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0]=>111110100110000010110010 [1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,1,0,0,1,0]=>110111101001100000110010 [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0]=>111110100110000010110100 [1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0]=>110111101001100001001100 [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0]=>111110100110000100110100 [1,1,0,0,1,0,1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0]=>110010111110001011001000 [1,1,0,1,0,0,1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0]=>110100111110001011001000 [1,1,0,0,1,0,1,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0]=>110010111101100011001000 [1,1,0,1,0,0,1,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0]=>110100111101100011001000 [1,1,0,0,1,0,1,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0,0]=>110010111110001011010000 [1,1,0,1,0,0,1,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0,0]=>110100111110001011010000 [1,1,0,0,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0]=>110010111101100100110000 [1,1,0,1,0,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0]=>110100111101100100110000 [1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0]=>110010111110010011010000 [1,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0]=>110100111110010011010000 [1,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,1,0]=>111100101110001011000010 [1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0,0,1,0]=>111110010011100010100010 [1,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0]=>111100101101100011000010 [1,1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,0,0,1,0]=>111110010100111000100010 [1,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0]=>111101001101100011000010 [1,1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0,0,1,0]=>111110100010111000100010 [1,1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0,0,1,0]=>111101101000111000100010 [1,1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0]=>111110001011011001000010 [1,1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0,0,1,0]=>111110100010111001000010 [1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0]=>111101100101100011000010 [1,1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0,0,1,0]=>111110010100111001000010 [1,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0,0,1,0]=>111101101001100011000010 [1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0]=>111110010011100101000010 [1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0]=>111110100110001101000010 [1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0]=>111100010110010111000100 [1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0]=>111011000110010101110000 [1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0]=>111001011100100111000100 [1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0,0]=>111010110001100101110000 [1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0]=>111010011100100111000100 [1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0]=>111100010110010110110000 [1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,1,0,1,0,0]=>111101100011000110010100 [1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,0]=>111001011100101001110000 [1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0]=>111100010110100110110000 [1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>111110001011001001100100 [1,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0]=>111010110001101001110000 [1,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>111101100011001001100100 [1,1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0]=>111011000110101001110000 [1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0]=>111100100110100110110000 [1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0,0]=>111001011101000101110000 [1,1,1,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0]=>111110001001110100010100 [1,1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0]=>111001011011010001110000 [1,1,1,1,1,0,0,0,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0,0]=>111110001010011101000100 [1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0]=>111010011011010001110000 [1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0]=>111101100100010111000100 [1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,1,1,0,0,0,1,0,0]=>111011011001000111000100 [1,1,1,1,1,0,0,1,0,0,0,1,0,1,1,1,0,1,0,0,0,1,0,0]=>111110010001011101000100 [1,1,1,0,1,1,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,1,0,0]=>111011100100011101000100 [1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]=>111100010110110010110000 [1,1,1,1,1,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,1,0,0,0]=>111110010001011100101000 [1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]=>111100010110110100110000 [1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0]=>111110010100010111001000 [1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0]=>111101000101110100110000 [1,1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0,0]=>111011001011001001110000 [1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0]=>111100101011000110110000 [1,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0]=>111011100100110010011000 [1,1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0]=>111100101100011010110000 [1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,1,0,0,0]=>111110010011001001101000 [1,1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0]=>111011001011010001110000 [1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0]=>111100101001110100110000 [1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0]=>111011100101001100011000 [1,1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0]=>111011010011010001110000 [1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]=>111100100111001011001000 [1,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0]=>111101001100011010110000 [1,1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0]=>111100100111010011001000 [1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0]=>111101010011000110110000 [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0,0]=>111101001101000111001000 [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0]=>111111111110000000001000 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>110010101010101010101010 [1,1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]=>111111100101010101000000 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>101010101010101011010010 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>101010101010101010110010 [1,0,1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>101011011011101100100000 [1,0,1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0]=>101011011101101100010000 [1,0,1,0,1,0,1,1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,0]=>101010111101100110010000 [1,0,1,0,1,1,1,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,0]=>101011101001110110010000 [1,0,1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,0]=>101011101101101100001000 [1,0,1,0,1,0,1,1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>101010111011001110001000 [1,0,1,0,1,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0,0,0]=>101011110100110110001000 [1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,1,0,0,0]=>101011011010001111001000 [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>101011010011001111001000 [1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0]=>101101001101110110010000 [1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]=>101101001110110110001000 [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0]=>101101001101001111001000 [1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>101101101000111011001000 [1,0,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>101110100100111011001000 [1,0,1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>101011011011011100000100 [1,0,1,0,1,0,1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>101010111011100110000100 [1,0,1,0,1,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0]=>101011101001101110000100 [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>101010110111000111000100 [1,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>101010110011110011000100 [1,0,1,1,0,1,0,0,1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0]=>101101001101101110000100 [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>101101001011100111000100 [1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,0,0]=>101101101000110111000100 [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0]=>101110100100110111000100 [1,0,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>101010110111100001100100 [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,1,0,0]=>101010111100100011100100 [1,0,1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>101101001011110001100100 [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0]=>101010111100010011100100 [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>101011001100110011100100 [1,1,0,1,0,0,1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0]=>110100101101110110010000 [1,1,0,1,0,0,1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]=>110100101110110110001000 [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0]=>110100101101001111001000 [1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>110100110100111011001000 [1,1,0,1,0,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0]=>110100101101101110000100 [1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>110100101011100111000100 [1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0]=>110100110100110111000100 [1,1,0,1,0,0,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>110100101011110001100100 [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>110100101100110011100100 [1,1,0,1,1,0,1,0,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>110110100010111011001000 [1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>110110100010110111000100 [1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>110110100010110011100100 [1,1,1,0,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>111010010010111011001000 [1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>111010010010110111000100 [1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>111010010010110011100100 [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,1,1,1,0,0,1,0,0]=>110110110100001011100100 [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0]=>110111010010001011100100 [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0]=>111010011010001011100100 [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0]=>111011010001001011100100 [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0]=>111101001001001011100100 [1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,0]=>101101101101101100000010 [1,0,1,0,1,1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0,1,0]=>101011011101100110000010 [1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,0,1,0]=>101101110100110110000010 [1,0,1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0]=>101011101101100011000010 [1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0]=>101011011001001111000010 [1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]=>101110100110110110000010 [1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0]=>101101001110110011000010 [1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,0,1,0]=>101110110100011011000010 [1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0]=>101111010010011011000010 [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,0,0,1,0]=>101101101101000011100010 [1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,1,1,0,0,0,1,0]=>101011101100100011100010 [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0]=>101110100110100011100010 [1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>101101101000110011100010 [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>101101001100110011100010 [1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]=>110100110110110110000010 [1,1,0,1,0,0,1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0]=>110100101110110011000010 [1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0]=>110100111010011011000010 [1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0]=>110100110110100011100010 [1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>110100110100110011100010 [1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>110110100011011011000010 [1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>110110100011010011100010 [1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>111010010011011011000010 [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>111010010011010011100010 [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,0,0,1,0]=>110110110100001101100010 [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,0,0,1,0]=>110111010010001101100010 [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,1,0]=>111010011010001101100010 [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0]=>111011010001001101100010 [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0]=>111101001001001101100010 [1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0]=>101110110110100000110010 [1,0,1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0]=>101011011100110000110010 [1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,0,1,0]=>101111010011010000110010 [1,0,1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0]=>101011101110001000110010 [1,0,1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]=>101011001110011000110010 [1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,0]=>110100111011010000110010 [1,1,0,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0]=>110100101111001000110010 [1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>110110100011101000110010 [1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>111010010011101000110010 [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0,1,0]=>101011011110000100110010 [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0,1,0]=>101011110010001100110010 [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0]=>110100101111000100110010 [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>101011110001001100110010 [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0]=>110110110100001100110100 [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0]=>110111010010001100110100 [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0]=>111010011010001100110100 [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0]=>111011010001001100110100 [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0]=>111101001001001100110100 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>110101010101010101101000 [1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]=>110111110100100100100100 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>110101010101010101010010 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>101100110011001100110100 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>101100110011001110100100 [1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>101100110011101000110100 [1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>101100110011101101000100 [1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>101100110011110100100100 [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0]=>101100111010001100110100 [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>101100111010001110100100 [1,0,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0]=>101100111011010000110100 [1,0,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0]=>101100111101001000110100 [1,0,1,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>101100111011011010000100 [1,0,1,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>101100111011101001000100 [1,0,1,1,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0]=>101100111101001101000100 [1,0,1,1,0,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0]=>101100111101101000100100 [1,0,1,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0]=>101100111110100100100100 [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>101110100011001100110100 [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>101110100011001110100100 [1,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>101110100011101000110100 [1,0,1,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>101110100011101101000100 [1,0,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>101110100011110100100100 [1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0]=>101110110100001100110100 [1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0]=>101110110100001110100100 [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0]=>101111010010001100110100 [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>101111010010001110100100 [1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0]=>101110110110100000110100 [1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0]=>101110111010010000110100 [1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0]=>101111010011010000110100 [1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0]=>101111011010001000110100 [1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0]=>101111101001001000110100 [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>110100110011001100110100 [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>110100110011001110100100 [1,1,0,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>110100110011101000110100 [1,1,0,1,0,0,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>110100110011101101000100 [1,1,0,1,0,0,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>110100110011110100100100 [1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0]=>110100111010001100110100 [1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>110100111010001110100100 [1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0]=>110100111011010000110100 [1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0]=>110100111101001000110100 [1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>110110100011001100110100 [1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>110110100011001110100100 [1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>110110100011101000110100 [1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>111010010011001100110100 [1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>111010010011001110100100 [1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>111010010011101000110100 [1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0]=>110110110110110100000100 [1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0]=>110110110111010010000100 [1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0]=>110110111010011010000100 [1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0]=>110110111011010001000100 [1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0]=>110110111101001001000100 [1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>110111010011011010000100 [1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>110111010011101001000100 [1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0]=>110111011010001101000100 [1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0]=>110111101001001101000100 [1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0]=>110111011011010000100100 [1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0]=>110111011101001000100100 [1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0]=>110111101001101000100100 [1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0]=>110111101101000100100100 [1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>111010011011011010000100 [1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>111010011011101001000100 [1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0]=>111010011101001101000100 [1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0]=>111010011101101000100100 [1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0]=>111010011110100100100100 [1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0]=>111011010001101101000100 [1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,1,0,0]=>111011010001110100100100 [1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0]=>111101001001101101000100 [1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0,0]=>111101001001110100100100 [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,1,0,0]=>111011011010000110100100 [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0]=>111011101001000110100100 [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,0]=>111101001101000110100100 [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,1,0,0]=>111101101000100110100100 [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,1,0,0]=>111110100100100110100100 [1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,1,0,0]=>111011011011010000010100 [1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,1,0,0]=>111011011101001000010100 [1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,1,0,0]=>111011101001101000010100 [1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,1,0,0]=>111011101101000100010100 [1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,1,0,0]=>111011110100100100010100 [1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0]=>111101001101101000010100 [1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0,0]=>111101001110100100010100 [1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,1,0,0]=>111101101000110100010100 [1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0,0]=>111110100100110100010100 [1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,1,0,0]=>111101101101000010010100 [1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0]=>111101110100100010010100 [1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0]=>111110100110100010010100 [1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,1,0,0]=>111110110100010010010100 [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0]=>111111010010010010010100
click to show experimental identities (only identities of compositions of up to three maps are shown)
Description
Return the Dyck word as binary word.
Properties
injective, graded
Sage code
def mapping(w):
    return Word(w)
Weight
26
Created
Jan 29, 2020 at 13:27 by FindStatCrew
Updated
Jan 29, 2020 at 13:27 by Martin Rubey