- FindStat

Identifier

Mp00093: Dyck paths —to binary word⟶ Binary words
Mp00158: Binary words —alternating inverse⟶ Binary words
Mp00200: Binary words —twist⟶ Binary words

Images

[1,0] => 10 => 11 => 01

[1,0,1,0] => 1010 => 1111 => 0111

[1,1,0,0] => 1100 => 1001 => 0001

[1,0,1,0,1,0] => 101010 => 111111 => 011111

[1,0,1,1,0,0] => 101100 => 111001 => 011001

[1,1,0,0,1,0] => 110010 => 100111 => 000111

[1,1,0,1,0,0] => 110100 => 100001 => 000001

[1,1,1,0,0,0] => 111000 => 101101 => 001101

[1,0,1,0,1,0,1,0] => 10101010 => 11111111 => 01111111

[1,0,1,0,1,1,0,0] => 10101100 => 11111001 => 01111001

[1,0,1,1,0,0,1,0] => 10110010 => 11100111 => 01100111

[1,0,1,1,0,1,0,0] => 10110100 => 11100001 => 01100001

[1,0,1,1,1,0,0,0] => 10111000 => 11101101 => 01101101

[1,1,0,0,1,0,1,0] => 11001010 => 10011111 => 00011111

[1,1,0,0,1,1,0,0] => 11001100 => 10011001 => 00011001

[1,1,0,1,0,0,1,0] => 11010010 => 10000111 => 00000111

[1,1,0,1,0,1,0,0] => 11010100 => 10000001 => 00000001

[1,1,0,1,1,0,0,0] => 11011000 => 10001101 => 00001101

[1,1,1,0,0,0,1,0] => 11100010 => 10110111 => 00110111

[1,1,1,0,0,1,0,0] => 11100100 => 10110001 => 00110001

[1,1,1,0,1,0,0,0] => 11101000 => 10111101 => 00111101

[1,1,1,1,0,0,0,0] => 11110000 => 10100101 => 00100101

[1,0,1,0,1,0,1,0,1,0] => 1010101010 => 1111111111 => 0111111111

[1,0,1,0,1,0,1,1,0,0] => 1010101100 => 1111111001 => 0111111001

[1,0,1,0,1,1,0,0,1,0] => 1010110010 => 1111100111 => 0111100111

[1,0,1,0,1,1,0,1,0,0] => 1010110100 => 1111100001 => 0111100001

[1,0,1,0,1,1,1,0,0,0] => 1010111000 => 1111101101 => 0111101101

[1,0,1,1,0,0,1,0,1,0] => 1011001010 => 1110011111 => 0110011111

[1,0,1,1,0,0,1,1,0,0] => 1011001100 => 1110011001 => 0110011001

[1,0,1,1,0,1,0,0,1,0] => 1011010010 => 1110000111 => 0110000111

[1,0,1,1,0,1,0,1,0,0] => 1011010100 => 1110000001 => 0110000001

[1,0,1,1,0,1,1,0,0,0] => 1011011000 => 1110001101 => 0110001101

[1,0,1,1,1,0,0,0,1,0] => 1011100010 => 1110110111 => 0110110111

[1,0,1,1,1,0,0,1,0,0] => 1011100100 => 1110110001 => 0110110001

[1,0,1,1,1,0,1,0,0,0] => 1011101000 => 1110111101 => 0110111101

[1,0,1,1,1,1,0,0,0,0] => 1011110000 => 1110100101 => 0110100101

[1,1,0,0,1,0,1,0,1,0] => 1100101010 => 1001111111 => 0001111111

[1,1,0,0,1,0,1,1,0,0] => 1100101100 => 1001111001 => 0001111001

[1,1,0,0,1,1,0,0,1,0] => 1100110010 => 1001100111 => 0001100111

[1,1,0,0,1,1,0,1,0,0] => 1100110100 => 1001100001 => 0001100001

[1,1,0,0,1,1,1,0,0,0] => 1100111000 => 1001101101 => 0001101101

[1,1,0,1,0,0,1,0,1,0] => 1101001010 => 1000011111 => 0000011111

[1,1,0,1,0,0,1,1,0,0] => 1101001100 => 1000011001 => 0000011001

[1,1,0,1,0,1,0,0,1,0] => 1101010010 => 1000000111 => 0000000111

[1,1,0,1,0,1,0,1,0,0] => 1101010100 => 1000000001 => 0000000001

[1,1,0,1,0,1,1,0,0,0] => 1101011000 => 1000001101 => 0000001101

[1,1,0,1,1,0,0,0,1,0] => 1101100010 => 1000110111 => 0000110111

[1,1,0,1,1,0,0,1,0,0] => 1101100100 => 1000110001 => 0000110001

[1,1,0,1,1,0,1,0,0,0] => 1101101000 => 1000111101 => 0000111101

[1,1,0,1,1,1,0,0,0,0] => 1101110000 => 1000100101 => 0000100101

[1,1,1,0,0,0,1,0,1,0] => 1110001010 => 1011011111 => 0011011111

[1,1,1,0,0,0,1,1,0,0] => 1110001100 => 1011011001 => 0011011001

[1,1,1,0,0,1,0,0,1,0] => 1110010010 => 1011000111 => 0011000111

[1,1,1,0,0,1,0,1,0,0] => 1110010100 => 1011000001 => 0011000001

[1,1,1,0,0,1,1,0,0,0] => 1110011000 => 1011001101 => 0011001101

[1,1,1,0,1,0,0,0,1,0] => 1110100010 => 1011110111 => 0011110111

[1,1,1,0,1,0,0,1,0,0] => 1110100100 => 1011110001 => 0011110001

[1,1,1,0,1,0,1,0,0,0] => 1110101000 => 1011111101 => 0011111101

[1,1,1,0,1,1,0,0,0,0] => 1110110000 => 1011100101 => 0011100101

[1,1,1,1,0,0,0,0,1,0] => 1111000010 => 1010010111 => 0010010111

[1,1,1,1,0,0,0,1,0,0] => 1111000100 => 1010010001 => 0010010001

[1,1,1,1,0,0,1,0,0,0] => 1111001000 => 1010011101 => 0010011101

[1,1,1,1,0,1,0,0,0,0] => 1111010000 => 1010000101 => 0010000101

[1,1,1,1,1,0,0,0,0,0] => 1111100000 => 1010110101 => 0010110101

[1,0,1,0,1,0,1,0,1,0,1,0] => 101010101010 => 111111111111 => 011111111111

[1,0,1,0,1,0,1,0,1,1,0,0] => 101010101100 => 111111111001 => 011111111001

[1,0,1,0,1,0,1,1,0,0,1,0] => 101010110010 => 111111100111 => 011111100111

[1,0,1,0,1,0,1,1,0,1,0,0] => 101010110100 => 111111100001 => 011111100001

[1,0,1,0,1,0,1,1,1,0,0,0] => 101010111000 => 111111101101 => 011111101101

[1,0,1,0,1,1,0,0,1,0,1,0] => 101011001010 => 111110011111 => 011110011111

[1,0,1,0,1,1,0,0,1,1,0,0] => 101011001100 => 111110011001 => 011110011001

[1,0,1,0,1,1,0,1,0,0,1,0] => 101011010010 => 111110000111 => 011110000111

[1,0,1,0,1,1,0,1,0,1,0,0] => 101011010100 => 111110000001 => 011110000001

[1,0,1,0,1,1,0,1,1,0,0,0] => 101011011000 => 111110001101 => 011110001101

[1,0,1,0,1,1,1,0,0,0,1,0] => 101011100010 => 111110110111 => 011110110111

[1,0,1,0,1,1,1,0,0,1,0,0] => 101011100100 => 111110110001 => 011110110001

[1,0,1,0,1,1,1,0,1,0,0,0] => 101011101000 => 111110111101 => 011110111101

[1,0,1,0,1,1,1,1,0,0,0,0] => 101011110000 => 111110100101 => 011110100101

[1,0,1,1,0,0,1,0,1,0,1,0] => 101100101010 => 111001111111 => 011001111111

[1,0,1,1,0,0,1,0,1,1,0,0] => 101100101100 => 111001111001 => 011001111001

[1,0,1,1,0,0,1,1,0,0,1,0] => 101100110010 => 111001100111 => 011001100111

[1,0,1,1,0,0,1,1,0,1,0,0] => 101100110100 => 111001100001 => 011001100001

[1,0,1,1,0,0,1,1,1,0,0,0] => 101100111000 => 111001101101 => 011001101101

[1,0,1,1,0,1,0,0,1,0,1,0] => 101101001010 => 111000011111 => 011000011111

[1,0,1,1,0,1,0,0,1,1,0,0] => 101101001100 => 111000011001 => 011000011001

[1,0,1,1,0,1,0,1,0,0,1,0] => 101101010010 => 111000000111 => 011000000111

[1,0,1,1,0,1,0,1,0,1,0,0] => 101101010100 => 111000000001 => 011000000001

[1,0,1,1,0,1,0,1,1,0,0,0] => 101101011000 => 111000001101 => 011000001101

[1,0,1,1,0,1,1,0,0,0,1,0] => 101101100010 => 111000110111 => 011000110111

[1,0,1,1,0,1,1,0,0,1,0,0] => 101101100100 => 111000110001 => 011000110001

[1,0,1,1,0,1,1,0,1,0,0,0] => 101101101000 => 111000111101 => 011000111101

[1,0,1,1,0,1,1,1,0,0,0,0] => 101101110000 => 111000100101 => 011000100101

[1,0,1,1,1,0,0,0,1,0,1,0] => 101110001010 => 111011011111 => 011011011111

[1,0,1,1,1,0,0,0,1,1,0,0] => 101110001100 => 111011011001 => 011011011001

[1,0,1,1,1,0,0,1,0,0,1,0] => 101110010010 => 111011000111 => 011011000111

[1,0,1,1,1,0,0,1,0,1,0,0] => 101110010100 => 111011000001 => 011011000001

[1,0,1,1,1,0,0,1,1,0,0,0] => 101110011000 => 111011001101 => 011011001101

[1,0,1,1,1,0,1,0,0,0,1,0] => 101110100010 => 111011110111 => 011011110111

[1,0,1,1,1,0,1,0,0,1,0,0] => 101110100100 => 111011110001 => 011011110001

[1,0,1,1,1,0,1,0,1,0,0,0] => 101110101000 => 111011111101 => 011011111101

[1,0,1,1,1,0,1,1,0,0,0,0] => 101110110000 => 111011100101 => 011011100101

>>> Load all 454 entries. <<<

[1,0,1,1,1,1,0,0,0,0,1,0] => 101111000010 => 111010010111 => 011010010111

[1,0,1,1,1,1,0,0,0,1,0,0] => 101111000100 => 111010010001 => 011010010001

[1,0,1,1,1,1,0,0,1,0,0,0] => 101111001000 => 111010011101 => 011010011101

[1,0,1,1,1,1,0,1,0,0,0,0] => 101111010000 => 111010000101 => 011010000101

[1,0,1,1,1,1,1,0,0,0,0,0] => 101111100000 => 111010110101 => 011010110101

[1,1,0,0,1,0,1,0,1,0,1,0] => 110010101010 => 100111111111 => 000111111111

[1,1,0,0,1,0,1,0,1,1,0,0] => 110010101100 => 100111111001 => 000111111001

[1,1,0,0,1,0,1,1,0,0,1,0] => 110010110010 => 100111100111 => 000111100111

[1,1,0,0,1,0,1,1,0,1,0,0] => 110010110100 => 100111100001 => 000111100001

[1,1,0,0,1,0,1,1,1,0,0,0] => 110010111000 => 100111101101 => 000111101101

[1,1,0,0,1,1,0,0,1,0,1,0] => 110011001010 => 100110011111 => 000110011111

[1,1,0,0,1,1,0,0,1,1,0,0] => 110011001100 => 100110011001 => 000110011001

[1,1,0,0,1,1,0,1,0,0,1,0] => 110011010010 => 100110000111 => 000110000111

[1,1,0,0,1,1,0,1,0,1,0,0] => 110011010100 => 100110000001 => 000110000001

[1,1,0,0,1,1,0,1,1,0,0,0] => 110011011000 => 100110001101 => 000110001101

[1,1,0,0,1,1,1,0,0,0,1,0] => 110011100010 => 100110110111 => 000110110111

[1,1,0,0,1,1,1,0,0,1,0,0] => 110011100100 => 100110110001 => 000110110001

[1,1,0,0,1,1,1,0,1,0,0,0] => 110011101000 => 100110111101 => 000110111101

[1,1,0,0,1,1,1,1,0,0,0,0] => 110011110000 => 100110100101 => 000110100101

[1,1,0,1,0,0,1,0,1,0,1,0] => 110100101010 => 100001111111 => 000001111111

[1,1,0,1,0,0,1,0,1,1,0,0] => 110100101100 => 100001111001 => 000001111001

[1,1,0,1,0,0,1,1,0,0,1,0] => 110100110010 => 100001100111 => 000001100111

[1,1,0,1,0,0,1,1,0,1,0,0] => 110100110100 => 100001100001 => 000001100001

[1,1,0,1,0,0,1,1,1,0,0,0] => 110100111000 => 100001101101 => 000001101101

[1,1,0,1,0,1,0,0,1,0,1,0] => 110101001010 => 100000011111 => 000000011111

[1,1,0,1,0,1,0,0,1,1,0,0] => 110101001100 => 100000011001 => 000000011001

[1,1,0,1,0,1,0,1,0,0,1,0] => 110101010010 => 100000000111 => 000000000111

[1,1,0,1,0,1,0,1,0,1,0,0] => 110101010100 => 100000000001 => 000000000001

[1,1,0,1,0,1,0,1,1,0,0,0] => 110101011000 => 100000001101 => 000000001101

[1,1,0,1,0,1,1,0,0,0,1,0] => 110101100010 => 100000110111 => 000000110111

[1,1,0,1,0,1,1,0,0,1,0,0] => 110101100100 => 100000110001 => 000000110001

[1,1,0,1,0,1,1,0,1,0,0,0] => 110101101000 => 100000111101 => 000000111101

[1,1,0,1,0,1,1,1,0,0,0,0] => 110101110000 => 100000100101 => 000000100101

[1,1,0,1,1,0,0,0,1,0,1,0] => 110110001010 => 100011011111 => 000011011111

[1,1,0,1,1,0,0,0,1,1,0,0] => 110110001100 => 100011011001 => 000011011001

[1,1,0,1,1,0,0,1,0,0,1,0] => 110110010010 => 100011000111 => 000011000111

[1,1,0,1,1,0,0,1,0,1,0,0] => 110110010100 => 100011000001 => 000011000001

[1,1,0,1,1,0,0,1,1,0,0,0] => 110110011000 => 100011001101 => 000011001101

[1,1,0,1,1,0,1,0,0,0,1,0] => 110110100010 => 100011110111 => 000011110111

[1,1,0,1,1,0,1,0,0,1,0,0] => 110110100100 => 100011110001 => 000011110001

[1,1,0,1,1,0,1,0,1,0,0,0] => 110110101000 => 100011111101 => 000011111101

[1,1,0,1,1,0,1,1,0,0,0,0] => 110110110000 => 100011100101 => 000011100101

[1,1,0,1,1,1,0,0,0,0,1,0] => 110111000010 => 100010010111 => 000010010111

[1,1,0,1,1,1,0,0,0,1,0,0] => 110111000100 => 100010010001 => 000010010001

[1,1,0,1,1,1,0,0,1,0,0,0] => 110111001000 => 100010011101 => 000010011101

[1,1,0,1,1,1,0,1,0,0,0,0] => 110111010000 => 100010000101 => 000010000101

[1,1,0,1,1,1,1,0,0,0,0,0] => 110111100000 => 100010110101 => 000010110101

[1,1,1,0,0,0,1,0,1,0,1,0] => 111000101010 => 101101111111 => 001101111111

[1,1,1,0,0,0,1,0,1,1,0,0] => 111000101100 => 101101111001 => 001101111001

[1,1,1,0,0,0,1,1,0,0,1,0] => 111000110010 => 101101100111 => 001101100111

[1,1,1,0,0,0,1,1,0,1,0,0] => 111000110100 => 101101100001 => 001101100001

[1,1,1,0,0,0,1,1,1,0,0,0] => 111000111000 => 101101101101 => 001101101101

[1,1,1,0,0,1,0,0,1,0,1,0] => 111001001010 => 101100011111 => 001100011111

[1,1,1,0,0,1,0,0,1,1,0,0] => 111001001100 => 101100011001 => 001100011001

[1,1,1,0,0,1,0,1,0,0,1,0] => 111001010010 => 101100000111 => 001100000111

[1,1,1,0,0,1,0,1,0,1,0,0] => 111001010100 => 101100000001 => 001100000001

[1,1,1,0,0,1,0,1,1,0,0,0] => 111001011000 => 101100001101 => 001100001101

[1,1,1,0,0,1,1,0,0,0,1,0] => 111001100010 => 101100110111 => 001100110111

[1,1,1,0,0,1,1,0,0,1,0,0] => 111001100100 => 101100110001 => 001100110001

[1,1,1,0,0,1,1,0,1,0,0,0] => 111001101000 => 101100111101 => 001100111101

[1,1,1,0,0,1,1,1,0,0,0,0] => 111001110000 => 101100100101 => 001100100101

[1,1,1,0,1,0,0,0,1,0,1,0] => 111010001010 => 101111011111 => 001111011111

[1,1,1,0,1,0,0,0,1,1,0,0] => 111010001100 => 101111011001 => 001111011001

[1,1,1,0,1,0,0,1,0,0,1,0] => 111010010010 => 101111000111 => 001111000111

[1,1,1,0,1,0,0,1,0,1,0,0] => 111010010100 => 101111000001 => 001111000001

[1,1,1,0,1,0,0,1,1,0,0,0] => 111010011000 => 101111001101 => 001111001101

[1,1,1,0,1,0,1,0,0,0,1,0] => 111010100010 => 101111110111 => 001111110111

[1,1,1,0,1,0,1,0,0,1,0,0] => 111010100100 => 101111110001 => 001111110001

[1,1,1,0,1,0,1,0,1,0,0,0] => 111010101000 => 101111111101 => 001111111101

[1,1,1,0,1,0,1,1,0,0,0,0] => 111010110000 => 101111100101 => 001111100101

[1,1,1,0,1,1,0,0,0,0,1,0] => 111011000010 => 101110010111 => 001110010111

[1,1,1,0,1,1,0,0,0,1,0,0] => 111011000100 => 101110010001 => 001110010001

[1,1,1,0,1,1,0,0,1,0,0,0] => 111011001000 => 101110011101 => 001110011101

[1,1,1,0,1,1,0,1,0,0,0,0] => 111011010000 => 101110000101 => 001110000101

[1,1,1,0,1,1,1,0,0,0,0,0] => 111011100000 => 101110110101 => 001110110101

[1,1,1,1,0,0,0,0,1,0,1,0] => 111100001010 => 101001011111 => 001001011111

[1,1,1,1,0,0,0,0,1,1,0,0] => 111100001100 => 101001011001 => 001001011001

[1,1,1,1,0,0,0,1,0,0,1,0] => 111100010010 => 101001000111 => 001001000111

[1,1,1,1,0,0,0,1,0,1,0,0] => 111100010100 => 101001000001 => 001001000001

[1,1,1,1,0,0,0,1,1,0,0,0] => 111100011000 => 101001001101 => 001001001101

[1,1,1,1,0,0,1,0,0,0,1,0] => 111100100010 => 101001110111 => 001001110111

[1,1,1,1,0,0,1,0,0,1,0,0] => 111100100100 => 101001110001 => 001001110001

[1,1,1,1,0,0,1,0,1,0,0,0] => 111100101000 => 101001111101 => 001001111101

[1,1,1,1,0,0,1,1,0,0,0,0] => 111100110000 => 101001100101 => 001001100101

[1,1,1,1,0,1,0,0,0,0,1,0] => 111101000010 => 101000010111 => 001000010111

[1,1,1,1,0,1,0,0,0,1,0,0] => 111101000100 => 101000010001 => 001000010001

[1,1,1,1,0,1,0,0,1,0,0,0] => 111101001000 => 101000011101 => 001000011101

[1,1,1,1,0,1,0,1,0,0,0,0] => 111101010000 => 101000000101 => 001000000101

[1,1,1,1,0,1,1,0,0,0,0,0] => 111101100000 => 101000110101 => 001000110101

[1,1,1,1,1,0,0,0,0,0,1,0] => 111110000010 => 101011010111 => 001011010111

[1,1,1,1,1,0,0,0,0,1,0,0] => 111110000100 => 101011010001 => 001011010001

[1,1,1,1,1,0,0,0,1,0,0,0] => 111110001000 => 101011011101 => 001011011101

[1,1,1,1,1,0,0,1,0,0,0,0] => 111110010000 => 101011000101 => 001011000101

[1,1,1,1,1,0,1,0,0,0,0,0] => 111110100000 => 101011110101 => 001011110101

[1,1,1,1,1,1,0,0,0,0,0,0] => 111111000000 => 101010010101 => 001010010101

[1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 10101010101010 => 11111111111111 => 01111111111111

[1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 10101010101100 => 11111111111001 => 01111111111001

[1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 10101010110100 => 11111111100001 => 01111111100001

[1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 10101010111000 => 11111111101101 => 01111111101101

[1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 10101011010100 => 11111110000001 => 01111110000001

[1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 10101011100100 => 11111110110001 => 01111110110001

[1,0,1,0,1,0,1,1,1,0,1,0,0,0] => 10101011101000 => 11111110111101 => 01111110111101

[1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 10101011110000 => 11111110100101 => 01111110100101

[1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 10101101010100 => 11111000000001 => 01111000000001

[1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 10101110010100 => 11111011000001 => 01111011000001

[1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 10101110100100 => 11111011110001 => 01111011110001

[1,0,1,0,1,1,1,0,1,0,1,0,0,0] => 10101110101000 => 11111011111101 => 01111011111101

[1,0,1,0,1,1,1,0,1,1,0,0,0,0] => 10101110110000 => 11111011100101 => 01111011100101

[1,0,1,0,1,1,1,1,0,0,0,1,0,0] => 10101111000100 => 11111010010001 => 01111010010001

[1,0,1,0,1,1,1,1,0,1,0,0,0,0] => 10101111010000 => 11111010000101 => 01111010000101

[1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 10110101010100 => 11100000000001 => 01100000000001

[1,0,1,1,0,1,1,1,1,0,0,0,0,0] => 10110111100000 => 11100010110101 => 01100010110101

[1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 10111001010100 => 11101100000001 => 01101100000001

[1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 10111010010100 => 11101111000001 => 01101111000001

[1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 10111010100100 => 11101111110001 => 01101111110001

[1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 10111011000100 => 11101110010001 => 01101110010001

[1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 10111011010000 => 11101110000101 => 01101110000101

[1,0,1,1,1,0,1,1,1,0,0,0,0,0] => 10111011100000 => 11101110110101 => 01101110110101

[1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 10111100010100 => 11101001000001 => 01101001000001

[1,0,1,1,1,1,0,0,1,1,0,0,0,0] => 10111100110000 => 11101001100101 => 01101001100101

[1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 10111101000100 => 11101000010001 => 01101000010001

[1,0,1,1,1,1,0,1,0,0,1,0,0,0] => 10111101001000 => 11101000011101 => 01101000011101

[1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 10111101010000 => 11101000000101 => 01101000000101

[1,0,1,1,1,1,0,1,1,0,0,0,0,0] => 10111101100000 => 11101000110101 => 01101000110101

[1,0,1,1,1,1,1,0,0,0,0,1,0,0] => 10111110000100 => 11101011010001 => 01101011010001

[1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 10111110001000 => 11101011011101 => 01101011011101

[1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 10111110010000 => 11101011000101 => 01101011000101

[1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 10111110100000 => 11101011110101 => 01101011110101

[1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 10111111000000 => 11101010010101 => 01101010010101

[1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 11001111100000 => 10011010110101 => 00011010110101

[1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 11010101010100 => 10000000000001 => 00000000000001

[1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 11010101011000 => 10000000001101 => 00000000001101

[1,1,0,1,0,1,0,1,1,0,0,1,0,0] => 11010101100100 => 10000000110001 => 00000000110001

[1,1,0,1,0,1,0,1,1,0,1,0,0,0] => 11010101101000 => 10000000111101 => 00000000111101

[1,1,0,1,0,1,0,1,1,1,0,0,0,0] => 11010101110000 => 10000000100101 => 00000000100101

[1,1,0,1,0,1,1,0,0,1,0,1,0,0] => 11010110010100 => 10000011000001 => 00000011000001

[1,1,0,1,0,1,1,0,0,1,1,0,0,0] => 11010110011000 => 10000011001101 => 00000011001101

[1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 11010110100100 => 10000011110001 => 00000011110001

[1,1,0,1,0,1,1,0,1,0,1,0,0,0] => 11010110101000 => 10000011111101 => 00000011111101

[1,1,0,1,0,1,1,0,1,1,0,0,0,0] => 11010110110000 => 10000011100101 => 00000011100101

[1,1,0,1,0,1,1,1,0,0,0,1,0,0] => 11010111000100 => 10000010010001 => 00000010010001

[1,1,0,1,0,1,1,1,0,0,1,0,0,0] => 11010111001000 => 10000010011101 => 00000010011101

[1,1,0,1,0,1,1,1,0,1,0,0,0,0] => 11010111010000 => 10000010000101 => 00000010000101

[1,1,0,1,0,1,1,1,1,0,0,0,0,0] => 11010111100000 => 10000010110101 => 00000010110101

[1,1,0,1,1,0,0,1,0,1,0,1,0,0] => 11011001010100 => 10001100000001 => 00001100000001

[1,1,0,1,1,0,0,1,0,1,1,0,0,0] => 11011001011000 => 10001100001101 => 00001100001101

[1,1,0,1,1,0,0,1,1,0,0,1,0,0] => 11011001100100 => 10001100110001 => 00001100110001

[1,1,0,1,1,0,0,1,1,0,1,0,0,0] => 11011001101000 => 10001100111101 => 00001100111101

[1,1,0,1,1,0,0,1,1,1,0,0,0,0] => 11011001110000 => 10001100100101 => 00001100100101

[1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 11011010010100 => 10001111000001 => 00001111000001

[1,1,0,1,1,0,1,0,0,1,1,0,0,0] => 11011010011000 => 10001111001101 => 00001111001101

[1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 11011010100100 => 10001111110001 => 00001111110001

[1,1,0,1,1,0,1,0,1,0,1,0,0,0] => 11011010101000 => 10001111111101 => 00001111111101

[1,1,0,1,1,0,1,0,1,1,0,0,0,0] => 11011010110000 => 10001111100101 => 00001111100101

[1,1,0,1,1,0,1,1,0,0,0,1,0,0] => 11011011000100 => 10001110010001 => 00001110010001

[1,1,0,1,1,0,1,1,0,0,1,0,0,0] => 11011011001000 => 10001110011101 => 00001110011101

[1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 11011011010000 => 10001110000101 => 00001110000101

[1,1,0,1,1,0,1,1,1,0,0,0,0,0] => 11011011100000 => 10001110110101 => 00001110110101

[1,1,0,1,1,1,0,0,0,1,0,1,0,0] => 11011100010100 => 10001001000001 => 00001001000001

[1,1,0,1,1,1,0,0,0,1,1,0,0,0] => 11011100011000 => 10001001001101 => 00001001001101

[1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 11011100100100 => 10001001110001 => 00001001110001

[1,1,0,1,1,1,0,0,1,0,1,0,0,0] => 11011100101000 => 10001001111101 => 00001001111101

[1,1,0,1,1,1,0,0,1,1,0,0,0,0] => 11011100110000 => 10001001100101 => 00001001100101

[1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 11011101000100 => 10001000010001 => 00001000010001

[1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 11011101001000 => 10001000011101 => 00001000011101

[1,1,0,1,1,1,0,1,0,1,0,0,0,0] => 11011101010000 => 10001000000101 => 00001000000101

[1,1,0,1,1,1,0,1,1,0,0,0,0,0] => 11011101100000 => 10001000110101 => 00001000110101

[1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 11011110000010 => 10001011010111 => 00001011010111

[1,1,0,1,1,1,1,0,0,0,0,1,0,0] => 11011110000100 => 10001011010001 => 00001011010001

[1,1,0,1,1,1,1,0,0,0,1,0,0,0] => 11011110001000 => 10001011011101 => 00001011011101

[1,1,0,1,1,1,1,0,0,1,0,0,0,0] => 11011110010000 => 10001011000101 => 00001011000101

[1,1,0,1,1,1,1,0,1,0,0,0,0,0] => 11011110100000 => 10001011110101 => 00001011110101

[1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 11011111000000 => 10001010010101 => 00001010010101

[1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 11100101010100 => 10110000000001 => 00110000000001

[1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 11100101011000 => 10110000001101 => 00110000001101

[1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 11100101100100 => 10110000110001 => 00110000110001

[1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 11100101101000 => 10110000111101 => 00110000111101

[1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 11100101110000 => 10110000100101 => 00110000100101

[1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 11100110010100 => 10110011000001 => 00110011000001

[1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 11100110011000 => 10110011001101 => 00110011001101

[1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 11100110100100 => 10110011110001 => 00110011110001

[1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 11100110101000 => 10110011111101 => 00110011111101

[1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 11100110110000 => 10110011100101 => 00110011100101

[1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 11100111000100 => 10110010010001 => 00110010010001

[1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 11100111001000 => 10110010011101 => 00110010011101

[1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 11100111010000 => 10110010000101 => 00110010000101

[1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 11100111100000 => 10110010110101 => 00110010110101

[1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 11101001010100 => 10111100000001 => 00111100000001

[1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 11101001011000 => 10111100001101 => 00111100001101

[1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 11101001100100 => 10111100110001 => 00111100110001

[1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 11101001101000 => 10111100111101 => 00111100111101

[1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 11101001110000 => 10111100100101 => 00111100100101

[1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 11101010010100 => 10111111000001 => 00111111000001

[1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 11101010011000 => 10111111001101 => 00111111001101

[1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 11101010100100 => 10111111110001 => 00111111110001

[1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 11101010101000 => 10111111111101 => 00111111111101

[1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 11101010110000 => 10111111100101 => 00111111100101

[1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 11101011000100 => 10111110010001 => 00111110010001

[1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 11101011001000 => 10111110011101 => 00111110011101

[1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 11101011010000 => 10111110000101 => 00111110000101

[1,1,1,0,1,0,1,1,1,0,0,0,0,0] => 11101011100000 => 10111110110101 => 00111110110101

[1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 11101100010100 => 10111001000001 => 00111001000001

[1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 11101100011000 => 10111001001101 => 00111001001101

[1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 11101100100100 => 10111001110001 => 00111001110001

[1,1,1,0,1,1,0,0,1,0,1,0,0,0] => 11101100101000 => 10111001111101 => 00111001111101

[1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 11101100110000 => 10111001100101 => 00111001100101

[1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 11101101000010 => 10111000010111 => 00111000010111

[1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 11101101000100 => 10111000010001 => 00111000010001

[1,1,1,0,1,1,0,1,0,0,1,0,0,0] => 11101101001000 => 10111000011101 => 00111000011101

[1,1,1,0,1,1,0,1,0,1,0,0,0,0] => 11101101010000 => 10111000000101 => 00111000000101

[1,1,1,0,1,1,0,1,1,0,0,0,0,0] => 11101101100000 => 10111000110101 => 00111000110101

[1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 11101110000010 => 10111011010111 => 00111011010111

[1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 11101110000100 => 10111011010001 => 00111011010001

[1,1,1,0,1,1,1,0,0,0,1,0,0,0] => 11101110001000 => 10111011011101 => 00111011011101

[1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 11101110010000 => 10111011000101 => 00111011000101

[1,1,1,0,1,1,1,0,1,0,0,0,0,0] => 11101110100000 => 10111011110101 => 00111011110101

[1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 11101111000000 => 10111010010101 => 00111010010101

[1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 11110001010100 => 10100100000001 => 00100100000001

[1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 11110001011000 => 10100100001101 => 00100100001101

[1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 11110001100100 => 10100100110001 => 00100100110001

[1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 11110001101000 => 10100100111101 => 00100100111101

[1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 11110001110000 => 10100100100101 => 00100100100101

[1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 11110010010100 => 10100111000001 => 00100111000001

[1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 11110010011000 => 10100111001101 => 00100111001101

[1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 11110010100100 => 10100111110001 => 00100111110001

[1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 11110010101000 => 10100111111101 => 00100111111101

[1,1,1,1,0,0,1,0,1,1,0,0,0,0] => 11110010110000 => 10100111100101 => 00100111100101

[1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 11110011000010 => 10100110010111 => 00100110010111

[1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 11110011000100 => 10100110010001 => 00100110010001

[1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 11110011001000 => 10100110011101 => 00100110011101

[1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 11110011010000 => 10100110000101 => 00100110000101

[1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 11110011100000 => 10100110110101 => 00100110110101

[1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 11110100010100 => 10100001000001 => 00100001000001

[1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 11110100011000 => 10100001001101 => 00100001001101

[1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 11110100100010 => 10100001110111 => 00100001110111

[1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 11110100100100 => 10100001110001 => 00100001110001

[1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 11110100101000 => 10100001111101 => 00100001111101

[1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 11110100110000 => 10100001100101 => 00100001100101

[1,1,1,1,0,1,0,1,0,0,0,0,1,0] => 11110101000010 => 10100000010111 => 00100000010111

[1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 11110101000100 => 10100000010001 => 00100000010001

[1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 11110101001000 => 10100000011101 => 00100000011101

[1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 11110101010000 => 10100000000101 => 00100000000101

[1,1,1,1,0,1,0,1,1,0,0,0,0,0] => 11110101100000 => 10100000110101 => 00100000110101

[1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 11110110000010 => 10100011010111 => 00100011010111

[1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 11110110000100 => 10100011010001 => 00100011010001

[1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 11110110001000 => 10100011011101 => 00100011011101

[1,1,1,1,0,1,1,0,0,1,0,0,0,0] => 11110110010000 => 10100011000101 => 00100011000101

[1,1,1,1,0,1,1,0,1,0,0,0,0,0] => 11110110100000 => 10100011110101 => 00100011110101

[1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 11110111000000 => 10100010010101 => 00100010010101

[1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 11111000001100 => 10101101011001 => 00101101011001

[1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 11111000010010 => 10101101000111 => 00101101000111

[1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 11111000010100 => 10101101000001 => 00101101000001

[1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 11111000011000 => 10101101001101 => 00101101001101

[1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 11111000100010 => 10101101110111 => 00101101110111

[1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 11111000100100 => 10101101110001 => 00101101110001

[1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 11111000101000 => 10101101111101 => 00101101111101

[1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 11111000110000 => 10101101100101 => 00101101100101

[1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 11111001000010 => 10101100010111 => 00101100010111

[1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 11111001000100 => 10101100010001 => 00101100010001

[1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 11111001001000 => 10101100011101 => 00101100011101

[1,1,1,1,1,0,0,1,0,1,0,0,0,0] => 11111001010000 => 10101100000101 => 00101100000101

[1,1,1,1,1,0,0,1,1,0,0,0,0,0] => 11111001100000 => 10101100110101 => 00101100110101

[1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 11111010000010 => 10101111010111 => 00101111010111

[1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 11111010000100 => 10101111010001 => 00101111010001

[1,1,1,1,1,0,1,0,0,0,1,0,0,0] => 11111010001000 => 10101111011101 => 00101111011101

[1,1,1,1,1,0,1,0,0,1,0,0,0,0] => 11111010010000 => 10101111000101 => 00101111000101

[1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 11111010100000 => 10101111110101 => 00101111110101

[1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 11111011000000 => 10101110010101 => 00101110010101

[1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 11111100000010 => 10101001010111 => 00101001010111

[1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 11111100000100 => 10101001010001 => 00101001010001

[1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 11111100001000 => 10101001011101 => 00101001011101

[1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 11111100010000 => 10101001000101 => 00101001000101

[1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 11111100100000 => 10101001110101 => 00101001110101

[1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 11111101000000 => 10101000010101 => 00101000010101

[1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 11111110000000 => 10101011010101 => 00101011010101

[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1010101010101010 => 1111111111111111 => 0111111111111111

[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 1010101010101100 => 1111111111111001 => 0111111111111001

[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 1010101010110100 => 1111111111100001 => 0111111111100001

[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 1010101010111000 => 1111111111101101 => 0111111111101101

[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 1010101011010100 => 1111111110000001 => 0111111110000001

[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 1010101011100100 => 1111111110110001 => 0111111110110001

[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => 1010101011101000 => 1111111110111101 => 0111111110111101

[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 1010101011110000 => 1111111110100101 => 0111111110100101

[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 1010101101010100 => 1111111000000001 => 0111111000000001

[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 1010101110010100 => 1111111011000001 => 0111111011000001

[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 1010101110100100 => 1111111011110001 => 0111111011110001

[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => 1010101111000100 => 1111111010010001 => 0111111010010001

[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 1010110101010100 => 1111100000000001 => 0111100000000001

[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 1010111001010100 => 1111101100000001 => 0111101100000001

[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 1010111010010100 => 1111101111000001 => 0111101111000001

[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 1010111100010100 => 1111101001000001 => 0111101001000001

[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 1011010101010100 => 1110000000000001 => 0110000000000001

[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 1011100101010100 => 1110110000000001 => 0110110000000001

[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 1011101001010100 => 1110111100000001 => 0110111100000001

[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 1011110001010100 => 1110100100000001 => 0110100100000001

[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 1011110111000000 => 1110100010010101 => 0110100010010101

[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 1011111010100000 => 1110101111110101 => 0110101111110101

[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 1011111011000000 => 1110101110010101 => 0110101110010101

[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 1011111100010000 => 1110101001000101 => 0110101001000101

[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 1011111100100000 => 1110101001110101 => 0110101001110101

[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 1011111101000000 => 1110101000010101 => 0110101000010101

[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 1011111110000000 => 1110101011010101 => 0110101011010101

[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 1101010101010100 => 1000000000000001 => 0000000000000001

[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => 1110010101010100 => 1011000000000001 => 0011000000000001

[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => 1110100101010100 => 1011110000000001 => 0011110000000001

[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => 1111000101010100 => 1010010000000001 => 0010010000000001

[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => 1111011100000010 => 1010001001010111 => 0010001001010111

[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => 1111101010000010 => 1010111111010111 => 0010111111010111

[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => 1111101100000010 => 1010111001010111 => 0010111001010111

[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => 1111110001000010 => 1010100100010111 => 0010100100010111

[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => 1111110010000010 => 1010100111010111 => 0010100111010111

[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 1111110100000010 => 1010100001010111 => 0010100001010111

[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 1111111000000010 => 1010101101010111 => 0010101101010111

[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 111111110000000010 => 101010100101010111 => 001010100101010111

[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 101111111100000000 => 111010101001010101 => 011010101001010101

[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => 11111111100000000010 => 10101010110101010111 => 00101010110101010111

[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0] => 111111101000000010 => 101010111101010111 => 001010111101010111

[1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => 101111111010000000 => 111010101111010101 => 011010101111010101

[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => 10111111111000000000 => 11101010101101010101 => 01101010101101010101

[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => 1111111111000000000010 => 1010101010010101010111 => 0010101010010101010111

[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0] => 11111111010000000010 => 10101010000101010111 => 00101010000101010111

[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0] => 111111100100000010 => 101010110001010111 => 001010110001010111

[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0] => 111111011000000010 => 101010001101010111 => 001010001101010111

[1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => 101111111001000000 => 111010101100010101 => 011010101100010101

[1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => 101111110110000000 => 111010100011010101 => 011010100011010101

[1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => 10111111110100000000 => 11101010100001010101 => 01101010100001010101

[1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => 1011111111110000000000 => 1110101010100101010101 => 0110101010100101010101

[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 110101010101010100 => 100000000000000001 => 000000000000000001

[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 111001010101010100 => 101100000000000001 => 001100000000000001

[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 101010101010101010 => 111111111111111111 => 011111111111111111

[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 101010101010101100 => 111111111111111001 => 011111111111111001

[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 101010101010110100 => 111111111111100001 => 011111111111100001

[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 101010101011010100 => 111111111110000001 => 011111111110000001

[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 101010101101010100 => 111111111000000001 => 011111111000000001

[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 101010110101010100 => 111111100000000001 => 011111100000000001

[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 101011010101010100 => 111110000000000001 => 011110000000000001

[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 101101010101010100 => 111000000000000001 => 011000000000000001

[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 10101010101010101010 => 11111111111111111111 => 01111111111111111111

[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 10101010101010101100 => 11111111111111111001 => 01111111111111111001

[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 101010101010111000 => 111111111111101101 => 011111111111101101

[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 10101010101010110100 => 11111111111111100001 => 01111111111111100001

[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 101010101011100100 => 111111111110110001 => 011111111110110001

[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 10101010101011010100 => 11111111111110000001 => 01111111111110000001

[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 101010101110010100 => 111111111011000001 => 011111111011000001

[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 10101010101101010100 => 11111111111000000001 => 01111111111000000001

[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 101010111001010100 => 111111101100000001 => 011111101100000001

[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 10101010110101010100 => 11111111100000000001 => 01111111100000000001

[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 101011100101010100 => 111110110000000001 => 011110110000000001

[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 10101011010101010100 => 11111110000000000001 => 01111110000000000001

[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => 101110010101010100 => 111011000000000001 => 011011000000000001

[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 10101101010101010100 => 11111000000000000001 => 01111000000000000001

[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 10110101010101010100 => 11100000000000000001 => 01100000000000000001

[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 11010101010101010100 => 10000000000000000001 => 00000000000000000001

Map

to binary word

Description

Return the Dyck word as binary word.

Map

alternating inverse

Description

Sends a binary word $w_1\cdots w_m$ to the binary word $v_1 \cdots v_m$ with $v_i = w_i$ if $i$ is odd and $v_i = 1 - w_i$ if $i$ is even.
This map is used in [1], see Definitions 3.2 and 5.1.

Map

twist

Description

Return the binary word with first letter inverted.