Identifier
Identifier
Images
0 => 0
1 => 1
00 => 00
01 => 10
10 => 01
11 => 11
000 => 000
001 => 100
010 => 010
011 => 110
100 => 001
101 => 101
110 => 011
111 => 111
0000 => 0000
0001 => 1000
0010 => 0100
0011 => 1100
0100 => 0010
0101 => 1010
0110 => 0110
0111 => 1110
1000 => 0001
1001 => 1001
1010 => 0101
1011 => 1101
1100 => 0011
1101 => 1011
1110 => 0111
1111 => 1111
00000 => 00000
00001 => 10000
00010 => 01000
00011 => 11000
00100 => 00100
00101 => 10100
00110 => 01100
00111 => 11100
01000 => 00010
01001 => 10010
01010 => 01010
01011 => 11010
01100 => 00110
01101 => 10110
01110 => 01110
01111 => 11110
10000 => 00001
10001 => 10001
10010 => 01001
10011 => 11001
10100 => 00101
10101 => 10101
10110 => 01101
10111 => 11101
11000 => 00011
11001 => 10011
11010 => 01011
11011 => 11011
11100 => 00111
11101 => 10111
11110 => 01111
11111 => 11111
000000 => 000000
000001 => 100000
000010 => 010000
000011 => 110000
000100 => 001000
000101 => 101000
000110 => 011000
000111 => 111000
001000 => 000100
001001 => 100100
001010 => 010100
001011 => 110100
001100 => 001100
001101 => 101100
001110 => 011100
001111 => 111100
010000 => 000010
010001 => 100010
010010 => 010010
010011 => 110010
010100 => 001010
010101 => 101010
010110 => 011010
010111 => 111010
011000 => 000110
011001 => 100110
011010 => 010110
011011 => 110110
011100 => 001110
011101 => 101110
011110 => 011110
011111 => 111110
100000 => 000001
100001 => 100001
100010 => 010001
100011 => 110001
100100 => 001001
100101 => 101001
100110 => 011001
100111 => 111001
101000 => 000101
101001 => 100101
101010 => 010101
101011 => 110101
101100 => 001101
101101 => 101101
101110 => 011101
101111 => 111101
110000 => 000011
110001 => 100011
110010 => 010011
110011 => 110011
110100 => 001011
110101 => 101011
110110 => 011011
110111 => 111011
111000 => 000111
111001 => 100111
111010 => 010111
111011 => 110111
111100 => 001111
111101 => 101111
111110 => 011111
111111 => 111111
0000000 => 0000000
0000001 => 1000000
0000010 => 0100000
0000011 => 1100000
0000100 => 0010000
0000101 => 1010000
0000110 => 0110000
0000111 => 1110000
0001000 => 0001000
0001001 => 1001000
0001010 => 0101000
0001011 => 1101000
0001100 => 0011000
0001101 => 1011000
0001110 => 0111000
0001111 => 1111000
0010000 => 0000100
0010001 => 1000100
0010010 => 0100100
0010011 => 1100100
0010100 => 0010100
0010101 => 1010100
0010110 => 0110100
0010111 => 1110100
0011000 => 0001100
0011001 => 1001100
0011010 => 0101100
0011011 => 1101100
0011100 => 0011100
0011101 => 1011100
0011110 => 0111100
0011111 => 1111100
0100000 => 0000010
0100001 => 1000010
0100010 => 0100010
0100011 => 1100010
0100100 => 0010010
0100101 => 1010010
0100110 => 0110010
0100111 => 1110010
0101000 => 0001010
0101001 => 1001010
0101010 => 0101010
0101011 => 1101010
0101100 => 0011010
0101101 => 1011010
0101110 => 0111010
0101111 => 1111010
0110000 => 0000110
0110001 => 1000110
0110010 => 0100110
0110011 => 1100110
0110100 => 0010110
0110101 => 1010110
0110110 => 0110110
0110111 => 1110110
0111000 => 0001110
0111001 => 1001110
0111010 => 0101110
0111011 => 1101110
0111100 => 0011110
0111101 => 1011110
0111110 => 0111110
0111111 => 1111110
1000000 => 0000001
1000001 => 1000001
1000010 => 0100001
1000011 => 1100001
1000100 => 0010001
1000101 => 1010001
1000110 => 0110001
1000111 => 1110001
1001000 => 0001001
1001001 => 1001001
1001010 => 0101001
1001011 => 1101001
1001100 => 0011001
1001101 => 1011001
1001110 => 0111001
1001111 => 1111001
1010000 => 0000101
1010001 => 1000101
1010010 => 0100101
1010011 => 1100101
1010100 => 0010101
1010101 => 1010101
1010110 => 0110101
1010111 => 1110101
1011000 => 0001101
1011001 => 1001101
1011010 => 0101101
1011011 => 1101101
1011100 => 0011101
1011101 => 1011101
1011110 => 0111101
1011111 => 1111101
1100000 => 0000011
1100001 => 1000011
1100010 => 0100011
1100011 => 1100011
1100100 => 0010011
1100101 => 1010011
1100110 => 0110011
1100111 => 1110011
1101000 => 0001011
1101001 => 1001011
1101010 => 0101011
1101011 => 1101011
1101100 => 0011011
1101101 => 1011011
1101110 => 0111011
1101111 => 1111011
1110000 => 0000111
1110001 => 1000111
1110010 => 0100111
1110011 => 1100111
1110100 => 0010111
1110101 => 1010111
1110110 => 0110111
1110111 => 1110111
1111000 => 0001111
1111001 => 1001111
1111010 => 0101111
1111011 => 1101111
1111100 => 0011111
1111101 => 1011111
1111110 => 0111111
1111111 => 1111111
00000000 => 00000000
00000001 => 10000000
00000010 => 01000000
00000011 => 11000000
00000100 => 00100000
00000101 => 10100000
00000110 => 01100000
00000111 => 11100000
00001000 => 00010000
00001001 => 10010000
00001010 => 01010000
00001011 => 11010000
00001100 => 00110000
00001101 => 10110000
00001110 => 01110000
00001111 => 11110000
00010000 => 00001000
00010001 => 10001000
00010010 => 01001000
00010011 => 11001000
00010100 => 00101000
00010101 => 10101000
00010110 => 01101000
00010111 => 11101000
00011000 => 00011000
00011001 => 10011000
00011010 => 01011000
00011011 => 11011000
00011100 => 00111000
00011101 => 10111000
00011110 => 01111000
00011111 => 11111000
00100000 => 00000100
00100001 => 10000100
00100010 => 01000100
00100011 => 11000100
00100100 => 00100100
00100101 => 10100100
00100110 => 01100100
00100111 => 11100100
00101000 => 00010100
00101001 => 10010100
00101010 => 01010100
00101011 => 11010100
00101100 => 00110100
00101101 => 10110100
00101110 => 01110100
00101111 => 11110100
00110000 => 00001100
00110001 => 10001100
00110010 => 01001100
00110011 => 11001100
00110100 => 00101100
00110101 => 10101100
00110110 => 01101100
00110111 => 11101100
00111000 => 00011100
00111001 => 10011100
00111010 => 01011100
00111011 => 11011100
00111100 => 00111100
00111101 => 10111100
00111110 => 01111100
00111111 => 11111100
01000000 => 00000010
01000001 => 10000010
01000010 => 01000010
01000011 => 11000010
01000100 => 00100010
01000101 => 10100010
01000110 => 01100010
01000111 => 11100010
01001000 => 00010010
01001001 => 10010010
01001010 => 01010010
01001011 => 11010010
01001100 => 00110010
01001101 => 10110010
01001110 => 01110010
01001111 => 11110010
01010000 => 00001010
01010001 => 10001010
01010010 => 01001010
01010011 => 11001010
01010100 => 00101010
01010101 => 10101010
01010110 => 01101010
01010111 => 11101010
01011000 => 00011010
01011001 => 10011010
01011010 => 01011010
01011011 => 11011010
01011100 => 00111010
01011101 => 10111010
01011110 => 01111010
01011111 => 11111010
01100000 => 00000110
01100001 => 10000110
01100010 => 01000110
01100011 => 11000110
01100100 => 00100110
01100101 => 10100110
01100110 => 01100110
01100111 => 11100110
01101000 => 00010110
01101001 => 10010110
01101010 => 01010110
01101011 => 11010110
01101100 => 00110110
01101101 => 10110110
01101110 => 01110110
01101111 => 11110110
01110000 => 00001110
01110001 => 10001110
01110010 => 01001110
01110011 => 11001110
01110100 => 00101110
01110101 => 10101110
01110110 => 01101110
01110111 => 11101110
01111000 => 00011110
01111001 => 10011110
01111010 => 01011110
01111011 => 11011110
01111100 => 00111110
01111101 => 10111110
01111110 => 01111110
01111111 => 11111110
10000000 => 00000001
10000001 => 10000001
10000010 => 01000001
10000011 => 11000001
10000100 => 00100001
10000101 => 10100001
10000110 => 01100001
10000111 => 11100001
10001000 => 00010001
10001001 => 10010001
10001010 => 01010001
10001011 => 11010001
10001100 => 00110001
10001101 => 10110001
10001110 => 01110001
10001111 => 11110001
10010000 => 00001001
10010001 => 10001001
10010010 => 01001001
10010011 => 11001001
10010100 => 00101001
10010101 => 10101001
10010110 => 01101001
10010111 => 11101001
10011000 => 00011001
10011001 => 10011001
10011010 => 01011001
10011011 => 11011001
10011100 => 00111001
10011101 => 10111001
10011110 => 01111001
10011111 => 11111001
10100000 => 00000101
10100001 => 10000101
10100010 => 01000101
10100011 => 11000101
10100100 => 00100101
10100101 => 10100101
10100110 => 01100101
10100111 => 11100101
10101000 => 00010101
10101001 => 10010101
10101010 => 01010101
10101011 => 11010101
10101100 => 00110101
10101101 => 10110101
10101110 => 01110101
10101111 => 11110101
10110000 => 00001101
10110001 => 10001101
10110010 => 01001101
10110011 => 11001101
10110100 => 00101101
10110101 => 10101101
10110110 => 01101101
10110111 => 11101101
10111000 => 00011101
10111001 => 10011101
10111010 => 01011101
10111011 => 11011101
10111100 => 00111101
10111101 => 10111101
10111110 => 01111101
10111111 => 11111101
11000000 => 00000011
11000001 => 10000011
11000010 => 01000011
11000011 => 11000011
11000100 => 00100011
11000101 => 10100011
11000110 => 01100011
11000111 => 11100011
11001000 => 00010011
11001001 => 10010011
11001010 => 01010011
11001011 => 11010011
11001100 => 00110011
11001101 => 10110011
11001110 => 01110011
11001111 => 11110011
11010000 => 00001011
11010001 => 10001011
11010010 => 01001011
11010011 => 11001011
11010100 => 00101011
11010101 => 10101011
11010110 => 01101011
11010111 => 11101011
11011000 => 00011011
11011001 => 10011011
11011010 => 01011011
11011011 => 11011011
11011100 => 00111011
11011101 => 10111011
11011110 => 01111011
11011111 => 11111011
11100000 => 00000111
11100001 => 10000111
11100010 => 01000111
11100011 => 11000111
11100100 => 00100111
11100101 => 10100111
11100110 => 01100111
11100111 => 11100111
11101000 => 00010111
11101001 => 10010111
11101010 => 01010111
11101011 => 11010111
11101100 => 00110111
11101101 => 10110111
11101110 => 01110111
11101111 => 11110111
11110000 => 00001111
11110001 => 10001111
11110010 => 01001111
11110011 => 11001111
11110100 => 00101111
11110101 => 10101111
11110110 => 01101111
11110111 => 11101111
11111000 => 00011111
11111001 => 10011111
11111010 => 01011111
11111011 => 11011111
11111100 => 00111111
11111101 => 10111111
11111110 => 01111111
11111111 => 11111111
000000000 => 000000000
000000001 => 100000000
000000010 => 010000000
000000011 => 110000000
000000100 => 001000000
000000101 => 101000000
000000110 => 011000000
000000111 => 111000000
000001000 => 000100000
000001001 => 100100000
000001010 => 010100000
000001011 => 110100000
000001100 => 001100000
000001101 => 101100000
000001110 => 011100000
000001111 => 111100000
000010000 => 000010000
000010001 => 100010000
000010010 => 010010000
000010011 => 110010000
000010100 => 001010000
000010101 => 101010000
000010110 => 011010000
000010111 => 111010000
000011000 => 000110000
000011001 => 100110000
000011010 => 010110000
000011011 => 110110000
000011100 => 001110000
000011101 => 101110000
000011110 => 011110000
000011111 => 111110000
000100000 => 000001000
000100001 => 100001000
000100010 => 010001000
000100011 => 110001000
000100100 => 001001000
000100101 => 101001000
000100110 => 011001000
000100111 => 111001000
000101000 => 000101000
000101001 => 100101000
000101010 => 010101000
000101011 => 110101000
000101100 => 001101000
000101101 => 101101000
000101110 => 011101000
000101111 => 111101000
000110000 => 000011000
000110001 => 100011000
000110010 => 010011000
000110011 => 110011000
000110100 => 001011000
000110101 => 101011000
000110110 => 011011000
000110111 => 111011000
000111000 => 000111000
000111001 => 100111000
000111010 => 010111000
000111011 => 110111000
000111100 => 001111000
000111101 => 101111000
000111110 => 011111000
000111111 => 111111000
001000000 => 000000100
001000001 => 100000100
001000010 => 010000100
001000011 => 110000100
001000100 => 001000100
001000101 => 101000100
001000110 => 011000100
001000111 => 111000100
001001000 => 000100100
001001001 => 100100100
001001010 => 010100100
001001011 => 110100100
001001100 => 001100100
001001101 => 101100100
001001110 => 011100100
001001111 => 111100100
001010000 => 000010100
001010001 => 100010100
001010010 => 010010100
001010011 => 110010100
001010100 => 001010100
001010101 => 101010100
001010110 => 011010100
001010111 => 111010100
001011000 => 000110100
001011001 => 100110100
001011010 => 010110100
001011011 => 110110100
001011100 => 001110100
001011101 => 101110100
001011110 => 011110100
001011111 => 111110100
001100000 => 000001100
001100001 => 100001100
001100010 => 010001100
001100011 => 110001100
001100100 => 001001100
001100101 => 101001100
001100110 => 011001100
001100111 => 111001100
001101000 => 000101100
001101001 => 100101100
001101010 => 010101100
001101011 => 110101100
001101100 => 001101100
001101101 => 101101100
001101110 => 011101100
001101111 => 111101100
001110000 => 000011100
001110001 => 100011100
001110010 => 010011100
001110011 => 110011100
001110100 => 001011100
001110101 => 101011100
001110110 => 011011100
001110111 => 111011100
001111000 => 000111100
001111001 => 100111100
001111010 => 010111100
001111011 => 110111100
001111100 => 001111100
001111101 => 101111100
001111110 => 011111100
001111111 => 111111100
010000000 => 000000010
010000001 => 100000010
010000010 => 010000010
010000011 => 110000010
010000100 => 001000010
010000101 => 101000010
010000110 => 011000010
010000111 => 111000010
010001000 => 000100010
010001001 => 100100010
010001010 => 010100010
010001011 => 110100010
010001100 => 001100010
010001101 => 101100010
010001110 => 011100010
010001111 => 111100010
010010000 => 000010010
010010001 => 100010010
010010010 => 010010010
010010011 => 110010010
010010100 => 001010010
010010101 => 101010010
010010110 => 011010010
010010111 => 111010010
010011000 => 000110010
010011001 => 100110010
010011010 => 010110010
010011011 => 110110010
010011100 => 001110010
010011101 => 101110010
010011110 => 011110010
010011111 => 111110010
010100000 => 000001010
010100001 => 100001010
010100010 => 010001010
010100011 => 110001010
010100100 => 001001010
010100101 => 101001010
010100110 => 011001010
010100111 => 111001010
010101000 => 000101010
010101001 => 100101010
010101010 => 010101010
010101011 => 110101010
010101100 => 001101010
010101101 => 101101010
010101110 => 011101010
010101111 => 111101010
010110000 => 000011010
010110001 => 100011010
010110010 => 010011010
010110011 => 110011010
010110100 => 001011010
010110101 => 101011010
010110110 => 011011010
010110111 => 111011010
010111000 => 000111010
010111001 => 100111010
010111010 => 010111010
010111011 => 110111010
010111100 => 001111010
010111101 => 101111010
010111110 => 011111010
010111111 => 111111010
011000000 => 000000110
011000001 => 100000110
011000010 => 010000110
011000011 => 110000110
011000100 => 001000110
011000101 => 101000110
011000110 => 011000110
011000111 => 111000110
011001000 => 000100110
011001001 => 100100110
011001010 => 010100110
011001011 => 110100110
011001100 => 001100110
011001101 => 101100110
011001110 => 011100110
011001111 => 111100110
011010000 => 000010110
011010001 => 100010110
011010010 => 010010110
011010011 => 110010110
011010100 => 001010110
011010101 => 101010110
011010110 => 011010110
011010111 => 111010110
011011000 => 000110110
011011001 => 100110110
011011010 => 010110110
011011011 => 110110110
011011100 => 001110110
011011101 => 101110110
011011110 => 011110110
011011111 => 111110110
011100000 => 000001110
011100001 => 100001110
011100010 => 010001110
011100011 => 110001110
011100100 => 001001110
011100101 => 101001110
011100110 => 011001110
011100111 => 111001110
011101000 => 000101110
011101001 => 100101110
011101010 => 010101110
011101011 => 110101110
011101100 => 001101110
011101101 => 101101110
011101110 => 011101110
011101111 => 111101110
011110000 => 000011110
011110001 => 100011110
011110010 => 010011110
011110011 => 110011110
011110100 => 001011110
011110101 => 101011110
011110110 => 011011110
011110111 => 111011110
011111000 => 000111110
011111001 => 100111110
011111010 => 010111110
011111011 => 110111110
011111100 => 001111110
011111101 => 101111110
011111110 => 011111110
011111111 => 111111110
100000000 => 000000001
100000001 => 100000001
100000010 => 010000001
100000011 => 110000001
100000100 => 001000001
100000101 => 101000001
100000110 => 011000001
100000111 => 111000001
100001000 => 000100001
100001001 => 100100001
100001010 => 010100001
100001011 => 110100001
100001100 => 001100001
100001101 => 101100001
100001110 => 011100001
100001111 => 111100001
100010000 => 000010001
100010001 => 100010001
100010010 => 010010001
100010011 => 110010001
100010100 => 001010001
100010101 => 101010001
100010110 => 011010001
100010111 => 111010001
100011000 => 000110001
100011001 => 100110001
100011010 => 010110001
100011011 => 110110001
100011100 => 001110001
100011101 => 101110001
100011110 => 011110001
100011111 => 111110001
100100000 => 000001001
100100001 => 100001001
100100010 => 010001001
100100011 => 110001001
100100100 => 001001001
100100101 => 101001001
100100110 => 011001001
100100111 => 111001001
100101000 => 000101001
100101001 => 100101001
100101010 => 010101001
100101011 => 110101001
100101100 => 001101001
100101101 => 101101001
100101110 => 011101001
100101111 => 111101001
100110000 => 000011001
100110001 => 100011001
100110010 => 010011001
100110011 => 110011001
100110100 => 001011001
100110101 => 101011001
100110110 => 011011001
100110111 => 111011001
100111000 => 000111001
100111001 => 100111001
100111010 => 010111001
100111011 => 110111001
100111100 => 001111001
100111101 => 101111001
100111110 => 011111001
100111111 => 111111001
101000000 => 000000101
101000001 => 100000101
101000010 => 010000101
101000011 => 110000101
101000100 => 001000101
101000101 => 101000101
101000110 => 011000101
101000111 => 111000101
101001000 => 000100101
101001001 => 100100101
101001010 => 010100101
101001011 => 110100101
101001100 => 001100101
101001101 => 101100101
101001110 => 011100101
101001111 => 111100101
101010000 => 000010101
101010001 => 100010101
101010010 => 010010101
101010011 => 110010101
101010100 => 001010101
101010101 => 101010101
101010110 => 011010101
101010111 => 111010101
101011000 => 000110101
101011001 => 100110101
101011010 => 010110101
101011011 => 110110101
101011100 => 001110101
101011101 => 101110101
101011110 => 011110101
101011111 => 111110101
101100000 => 000001101
101100001 => 100001101
101100010 => 010001101
101100011 => 110001101
101100100 => 001001101
101100101 => 101001101
101100110 => 011001101
101100111 => 111001101
101101000 => 000101101
101101001 => 100101101
101101010 => 010101101
101101011 => 110101101
101101100 => 001101101
101101101 => 101101101
101101110 => 011101101
101101111 => 111101101
101110000 => 000011101
101110001 => 100011101
101110010 => 010011101
101110011 => 110011101
101110100 => 001011101
101110101 => 101011101
101110110 => 011011101
101110111 => 111011101
101111000 => 000111101
101111001 => 100111101
101111010 => 010111101
101111011 => 110111101
101111100 => 001111101
101111101 => 101111101
101111110 => 011111101
101111111 => 111111101
110000000 => 000000011
110000001 => 100000011
110000010 => 010000011
110000011 => 110000011
110000100 => 001000011
110000101 => 101000011
110000110 => 011000011
110000111 => 111000011
110001000 => 000100011
110001001 => 100100011
110001010 => 010100011
110001011 => 110100011
110001100 => 001100011
110001101 => 101100011
110001110 => 011100011
110001111 => 111100011
110010000 => 000010011
110010001 => 100010011
110010010 => 010010011
110010011 => 110010011
110010100 => 001010011
110010101 => 101010011
110010110 => 011010011
110010111 => 111010011
110011000 => 000110011
110011001 => 100110011
110011010 => 010110011
110011011 => 110110011
110011100 => 001110011
110011101 => 101110011
110011110 => 011110011
110011111 => 111110011
110100000 => 000001011
110100001 => 100001011
110100010 => 010001011
110100011 => 110001011
110100100 => 001001011
110100101 => 101001011
110100110 => 011001011
110100111 => 111001011
110101000 => 000101011
110101001 => 100101011
110101010 => 010101011
110101011 => 110101011
110101100 => 001101011
110101101 => 101101011
110101110 => 011101011
110101111 => 111101011
110110000 => 000011011
110110001 => 100011011
110110010 => 010011011
110110011 => 110011011
110110100 => 001011011
110110101 => 101011011
110110110 => 011011011
110110111 => 111011011
110111000 => 000111011
110111001 => 100111011
110111010 => 010111011
110111011 => 110111011
110111100 => 001111011
110111101 => 101111011
110111110 => 011111011
110111111 => 111111011
111000000 => 000000111
111000001 => 100000111
111000010 => 010000111
111000011 => 110000111
111000100 => 001000111
111000101 => 101000111
111000110 => 011000111
111000111 => 111000111
111001000 => 000100111
111001001 => 100100111
111001010 => 010100111
111001011 => 110100111
111001100 => 001100111
111001101 => 101100111
111001110 => 011100111
111001111 => 111100111
111010000 => 000010111
111010001 => 100010111
111010010 => 010010111
111010011 => 110010111
111010100 => 001010111
111010101 => 101010111
111010110 => 011010111
111010111 => 111010111
111011000 => 000110111
111011001 => 100110111
111011010 => 010110111
111011011 => 110110111
111011100 => 001110111
111011101 => 101110111
111011110 => 011110111
111011111 => 111110111
111100000 => 000001111
111100001 => 100001111
111100010 => 010001111
111100011 => 110001111
111100100 => 001001111
111100101 => 101001111
111100110 => 011001111
111100111 => 111001111
111101000 => 000101111
111101001 => 100101111
111101010 => 010101111
111101011 => 110101111
111101100 => 001101111
111101101 => 101101111
111101110 => 011101111
111101111 => 111101111
111110000 => 000011111
111110001 => 100011111
111110010 => 010011111
111110011 => 110011111
111110100 => 001011111
111110101 => 101011111
111110110 => 011011111
111110111 => 111011111
111111000 => 000111111
111111001 => 100111111
111111010 => 010111111
111111011 => 110111111
111111100 => 001111111
111111101 => 101111111
111111110 => 011111111
111111111 => 111111111
1010101010 => 0101010101
1010101100 => 0011010101
1010110010 => 0100110101
1010110100 => 0010110101
1010111000 => 0001110101
1011001010 => 0101001101
1011001100 => 0011001101
1011010010 => 0100101101
1011010100 => 0010101101
1011011000 => 0001101101
1011100010 => 0100011101
1011100100 => 0010011101
1011101000 => 0001011101
1011110000 => 0000111101
1100101010 => 0101010011
1100101100 => 0011010011
1100110010 => 0100110011
1100110100 => 0010110011
1100111000 => 0001110011
1101001010 => 0101001011
1101001100 => 0011001011
1101010010 => 0100101011
1101010100 => 0010101011
1101011000 => 0001101011
1101100010 => 0100011011
1101100100 => 0010011011
1101101000 => 0001011011
1101110000 => 0000111011
1110001010 => 0101000111
1110001100 => 0011000111
1110010010 => 0100100111
1110010100 => 0010100111
1110011000 => 0001100111
1110100010 => 0100010111
1110100100 => 0010010111
1110101000 => 0001010111
1110110000 => 0000110111
1111000010 => 0100001111
1111000100 => 0010001111
1111001000 => 0001001111
1111010000 => 0000101111
1111100000 => 0000011111
101010101010 => 010101010101
101010101100 => 001101010101
101010110010 => 010011010101
101010110100 => 001011010101
101010111000 => 000111010101
101011001010 => 010100110101
101011001100 => 001100110101
101011010010 => 010010110101
101011010100 => 001010110101
101011011000 => 000110110101
101011100010 => 010001110101
101011100100 => 001001110101
101011101000 => 000101110101
101011110000 => 000011110101
101100101010 => 010101001101
101100101100 => 001101001101
101100110010 => 010011001101
101100110100 => 001011001101
101100111000 => 000111001101
101101001010 => 010100101101
101101001100 => 001100101101
101101010010 => 010010101101
101101010100 => 001010101101
101101011000 => 000110101101
101101100010 => 010001101101
101101100100 => 001001101101
101101101000 => 000101101101
101101110000 => 000011101101
101110001010 => 010100011101
101110001100 => 001100011101
101110010010 => 010010011101
101110010100 => 001010011101
101110011000 => 000110011101
101110100010 => 010001011101
101110100100 => 001001011101
101110101000 => 000101011101
101110110000 => 000011011101
101111000010 => 010000111101
101111000100 => 001000111101
101111001000 => 000100111101
101111010000 => 000010111101
101111100000 => 000001111101
110010101010 => 010101010011
110010101100 => 001101010011
110010110010 => 010011010011
110010110100 => 001011010011
110010111000 => 000111010011
110011001010 => 010100110011
110011001100 => 001100110011
110011010010 => 010010110011
110011010100 => 001010110011
110011011000 => 000110110011
110011100010 => 010001110011
110011100100 => 001001110011
110011101000 => 000101110011
110011110000 => 000011110011
110100101010 => 010101001011
110100101100 => 001101001011
110100110010 => 010011001011
110100110100 => 001011001011
110100111000 => 000111001011
110101001010 => 010100101011
110101001100 => 001100101011
110101010010 => 010010101011
110101010100 => 001010101011
110101011000 => 000110101011
110101100010 => 010001101011
110101100100 => 001001101011
110101101000 => 000101101011
110101110000 => 000011101011
110110001010 => 010100011011
110110001100 => 001100011011
110110010010 => 010010011011
110110010100 => 001010011011
110110011000 => 000110011011
110110100010 => 010001011011
110110100100 => 001001011011
110110101000 => 000101011011
110110110000 => 000011011011
110111000010 => 010000111011
110111000100 => 001000111011
110111001000 => 000100111011
110111010000 => 000010111011
110111100000 => 000001111011
111000101010 => 010101000111
111000101100 => 001101000111
111000110010 => 010011000111
111000110100 => 001011000111
111000111000 => 000111000111
111001001010 => 010100100111
111001001100 => 001100100111
111001010010 => 010010100111
111001010100 => 001010100111
111001011000 => 000110100111
111001100010 => 010001100111
111001100100 => 001001100111
111001101000 => 000101100111
111001110000 => 000011100111
111010001010 => 010100010111
111010001100 => 001100010111
111010010010 => 010010010111
111010010100 => 001010010111
111010011000 => 000110010111
111010100010 => 010001010111
111010100100 => 001001010111
111010101000 => 000101010111
111010110000 => 000011010111
111011000010 => 010000110111
111011000100 => 001000110111
111011001000 => 000100110111
111011010000 => 000010110111
111011100000 => 000001110111
111100001010 => 010100001111
111100001100 => 001100001111
111100010010 => 010010001111
111100010100 => 001010001111
111100011000 => 000110001111
111100100010 => 010001001111
111100100100 => 001001001111
111100101000 => 000101001111
111100110000 => 000011001111
111101000010 => 010000101111
111101000100 => 001000101111
111101001000 => 000100101111
111101010000 => 000010101111
111101100000 => 000001101111
111110000010 => 010000011111
111110000100 => 001000011111
111110001000 => 000100011111
111110010000 => 000010011111
111110100000 => 000001011111
111111000000 => 000000111111
10101010101100 => 00110101010101
10101010110010 => 01001101010101
10101010110100 => 00101101010101
10101011001100 => 00110011010101
10101011010010 => 01001011010101
10101011010100 => 00101011010101
10101011011000 => 00011011010101
10101011100010 => 01000111010101
10101011100100 => 00100111010101
10101100101100 => 00110100110101
10101100110010 => 01001100110101
10101100110100 => 00101100110101
10101101001010 => 01010010110101
10101101001100 => 00110010110101
10101101010010 => 01001010110101
10101101010100 => 00101010110101
10101101011000 => 00011010110101
10101101100010 => 01000110110101
10101101100100 => 00100110110101
10101110001010 => 01010001110101
10101110001100 => 00110001110101
10101110010010 => 01001001110101
10101110100010 => 01000101110101
10101110100100 => 00100101110101
10101111000010 => 01000011110101
10101111000100 => 00100011110101
10101111001000 => 00010011110101
10101111010000 => 00001011110101
10101111100000 => 00000111110101
10110010101010 => 01010101001101
10110010101100 => 00110101001101
10110010110100 => 00101101001101
10110011001010 => 01010011001101
10110011100010 => 01000111001101
10110011110000 => 00001111001101
10110100101010 => 01010100101101
10110100101100 => 00110100101101
10110100110100 => 00101100101101
10110101001010 => 01010010101101
10110101001100 => 00110010101101
10110101010100 => 00101010101101
10110101011000 => 00011010101101
10110110001010 => 01010001101101
10110110110000 => 00001101101101
10110111000010 => 01000011101101
10110111001000 => 00010011101101
10110111010000 => 00001011101101
10110111100000 => 00000111101101
10111000101010 => 01010100011101
10111000111000 => 00011100011101
10111001001010 => 01010010011101
10111010001010 => 01010001011101
10111011010000 => 00001011011101
10111011100000 => 00000111011101
10111100001010 => 01010000111101
10111100001100 => 00110000111101
10111100010010 => 01001000111101
10111100011000 => 00011000111101
10111100100010 => 01000100111101
10111100110000 => 00001100111101
10111101000010 => 01000010111101
10111101001000 => 00010010111101
10111101010000 => 00001010111101
10111101100000 => 00000110111101
10111110000010 => 01000001111101
10111110000100 => 00100001111101
10111110001000 => 00010001111101
10111110010000 => 00001001111101
10111110100000 => 00000101111101
10111111000000 => 00000011111101
11001010101010 => 01010101010011
11001010101100 => 00110101010011
11001010110010 => 01001101010011
11001010110100 => 00101101010011
11001010111000 => 00011101010011
11001011001010 => 01010011010011
11001011001100 => 00110011010011
11001011010010 => 01001011010011
11001011010100 => 00101011010011
11001011011000 => 00011011010011
11001011100010 => 01000111010011
11001011110000 => 00001111010011
11001100101010 => 01010100110011
11001100101100 => 00110100110011
11001100110100 => 00101100110011
11001101010010 => 01001010110011
11001101010100 => 00101010110011
11001101101000 => 00010110110011
11001101110000 => 00001110110011
11001110001010 => 01010001110011
11001110011000 => 00011001110011
11001110100100 => 00100101110011
11001110101000 => 00010101110011
11001110110000 => 00001101110011
11001111000010 => 01000011110011
11001111000100 => 00100011110011
11001111001000 => 00010011110011
11001111010000 => 00001011110011
11001111100000 => 00000111110011
11010010101010 => 01010101001011
11010010101100 => 00110101001011
11010010110100 => 00101101001011
11010011100010 => 01000111001011
11010100101010 => 01010100101011
11010100101100 => 00110100101011
11010100110100 => 00101100101011
11010101001010 => 01010010101011
11010101001100 => 00110010101011
11010101010010 => 01001010101011
11010101010100 => 00101010101011
11010101011000 => 00011010101011
11010101100010 => 01000110101011
11010101100100 => 00100110101011
11010101101000 => 00010110101011
11010101110000 => 00001110101011
11010110001010 => 01010001101011
11010110010100 => 00101001101011
11010110011000 => 00011001101011
11010110100100 => 00100101101011
11010110101000 => 00010101101011
11010110110000 => 00001101101011
11010111010000 => 00001011101011
11011000101010 => 01010100011011
11011001010100 => 00101010011011
11011010001100 => 00110001011011
11011010010100 => 00101001011011
11011010101000 => 00010101011011
11011010110000 => 00001101011011
11011011000010 => 01000011011011
11011011010000 => 00001011011011
11011100001010 => 01010000111011
11011100001100 => 00110000111011
11011110000010 => 01000001111011
11011110000100 => 00100001111011
11011110010000 => 00001001111011
11011110100000 => 00000101111011
11011111000000 => 00000011111011
11100010101010 => 01010101000111
11100010101100 => 00110101000111
11100010110100 => 00101101000111
11100011100010 => 01000111000111
11100011110000 => 00001111000111
11100100101010 => 01010100100111
11100100101100 => 00110100100111
11100100110100 => 00101100100111
11100101001010 => 01010010100111
11100101010010 => 01001010100111
11100101010100 => 00101010100111
11100101100100 => 00100110100111
11100110001100 => 00110001100111
11100110010100 => 00101001100111
11100110101000 => 00010101100111
11100111000010 => 01000011100111
11101000101010 => 01010100010111
11101000101100 => 00110100010111
11101001001100 => 00110010010111
11101001010100 => 00101010010111
11101001100010 => 01000110010111
11101001100100 => 00100110010111
11101010001010 => 01010001010111
11101010001100 => 00110001010111
11101010010100 => 00101001010111
11101010011000 => 00011001010111
11101010100010 => 01000101010111
11101010100100 => 00100101010111
11101010101000 => 00010101010111
11101010110000 => 00001101010111
11101011000010 => 01000011010111
11101011001000 => 00010011010111
11101011010000 => 00001011010111
11101011100000 => 00000111010111
11101100001100 => 00110000110111
11101101000010 => 01000010110111
11101101000100 => 00100010110111
11101110000010 => 01000001110111
11101110000100 => 00100001110111
11101110010000 => 00001001110111
11101110100000 => 00000101110111
11101111000000 => 00000011110111
11110000101100 => 00110100001111
11110000110010 => 01001100001111
11110000111000 => 00011100001111
11110001001100 => 00110010001111
11110001100010 => 01000110001111
11110010001100 => 00110001001111
11110010010010 => 01001001001111
11110010100100 => 00100101001111
11110010101000 => 00010101001111
11110011000010 => 01000011001111
11110011000100 => 00100011001111
11110100001100 => 00110000101111
11110100100010 => 01000100101111
11110100100100 => 00100100101111
11110101000010 => 01000010101111
11110101000100 => 00100010101111
11110101010000 => 00001010101111
11110110000010 => 01000001101111
11110110000100 => 00100001101111
11110110001000 => 00010001101111
11110110010000 => 00001001101111
11110110100000 => 00000101101111
11110111000000 => 00000011101111
11111000001100 => 00110000011111
11111000010010 => 01001000011111
11111000010100 => 00101000011111
11111000100010 => 01000100011111
11111000100100 => 00100100011111
11111000110000 => 00001100011111
11111001000010 => 01000010011111
11111001000100 => 00100010011111
11111001001000 => 00010010011111
11111001100000 => 00000110011111
11111010000010 => 01000001011111
11111010000100 => 00100001011111
11111010001000 => 00010001011111
11111010010000 => 00001001011111
11111010100000 => 00000101011111
11111011000000 => 00000011011111
11111100000010 => 01000000111111
11111100000100 => 00100000111111
11111100001000 => 00010000111111
11111100010000 => 00001000111111
11111100100000 => 00000100111111
11111101000000 => 00000010111111
11111110000000 => 00000001111111
1010101010101100 => 0011010101010101
1010101010110100 => 0010110101010101
1010101011001100 => 0011001101010101
1010101011010100 => 0010101101010101
1010101011100100 => 0010011101010101
1010101100101100 => 0011010011010101
1010101111000100 => 0010001111010101
1010110010101100 => 0011010100110101
1010110010110100 => 0010110100110101
1010110101011000 => 0001101010110101
1010110111000010 => 0100001110110101
1010111000101010 => 0101010001110101
1010111010100010 => 0100010101110101
1010111011000010 => 0100001101110101
1010111100010010 => 0100100011110101
1010111100100010 => 0100010011110101
1010111101000010 => 0100001011110101
1010111110000010 => 0100000111110101
1010111110010000 => 0000100111110101
1010111110100000 => 0000010111110101
1010111111000000 => 0000001111110101
1011001010101100 => 0011010101001101
1011001010110100 => 0010110101001101
1011001111100000 => 0000011111001101
1011010010101100 => 0011010100101101
1011010010110100 => 0010110100101101
1011010101011000 => 0001101010101101
1011011011010000 => 0000101101101101
1011011100001010 => 0101000011101101
1011011101001000 => 0001001011101101
1011100010101010 => 0101010100011101
1011100011110000 => 0000111100011101
1011101001101000 => 0001011001011101
1011101010001010 => 0101000101011101
1011101100001010 => 0101000011011101
1011101101000100 => 0010001011011101
1011110001001010 => 0101001000111101
1011110010001010 => 0101000100111101
1011110100001010 => 0101000010111101
1011110100100100 => 0010010010111101
1011110111000000 => 0000001110111101
1011111000001010 => 0101000001111101
1011111000001100 => 0011000001111101
1011111010100000 => 0000010101111101
1011111011000000 => 0000001101111101
1011111100000010 => 0100000011111101
1011111100010000 => 0000100011111101
1011111100100000 => 0000010011111101
1011111101000000 => 0000001011111101
1011111110000000 => 0000000111111101
1100101010101010 => 0101010101010011
1100101010101100 => 0011010101010011
1100101010110010 => 0100110101010011
1100101010110100 => 0010110101010011
1100101010111000 => 0001110101010011
1100101011001010 => 0101001101010011
1100101011010100 => 0010101101010011
1100101101010100 => 0010101011010011
1100110011001100 => 0011001100110011
1100110011101000 => 0001011100110011
1100110011110000 => 0000111100110011
1100110101010100 => 0010101010110011
1100111000101010 => 0101010001110011
1100111010001100 => 0011000101110011
1100111011001000 => 0001001101110011
1100111011100000 => 0000011101110011
1100111100001100 => 0011000011110011
1100111101010000 => 0000101011110011
1100111101100000 => 0000011011110011
1100111110000010 => 0100000111110011
1100111110000100 => 0010000111110011
1100111110001000 => 0001000111110011
1100111110010000 => 0000100111110011
1100111110100000 => 0000010111110011
1100111111000000 => 0000001111110011
1101001010101100 => 0011010101001011
1101001010110100 => 0010110101001011
1101001101101000 => 0001011011001011
1101001110100100 => 0010010111001011
1101010100101010 => 0101010010101011
1101010100101100 => 0011010010101011
1101010101001010 => 0101001010101011
1101010101001100 => 0011001010101011
1101010101010010 => 0100101010101011
1101010101010100 => 0010101010101011
1101010101011000 => 0001101010101011
1101010101100100 => 0010011010101011
1101010101101000 => 0001011010101011
1101010101110000 => 0000111010101011
1101010110010100 => 0010100110101011
1101010110101000 => 0001010110101011
1101011000101010 => 0101010001101011
1101011001010100 => 0010101001101011
1101100010101010 => 0101010100011011
1101100101010100 => 0010101010011011
1101101000110100 => 0010110001011011
1101101101000010 => 0100001011011011
1101110100100010 => 0100010010111011
1101111000001100 => 0011000001111011
1101111100100000 => 0000010011111011
1101111101000000 => 0000001011111011
1101111110000000 => 0000000111111011
1110001010101010 => 0101010101000111
1110001010101100 => 0011010101000111
1110001010110100 => 0010110101000111
1110001111000010 => 0100001111000111
1110010101001010 => 0101001010100111
1110010101010010 => 0100101010100111
1110010101010100 => 0010101010100111
1110011001010100 => 0010101001100111
1110100011001100 => 0011001100010111
1110100011101000 => 0001011100010111
1110100011110000 => 0000111100010111
1110100100110100 => 0010110010010111
1110100101010100 => 0010101010010111
1110100110100010 => 0100010110010111
1110101000101010 => 0101010001010111
1110101001010100 => 0010101001010111
1110101010001010 => 0101000101010111
1110101010001100 => 0011000101010111
1110101010100010 => 0100010101010111
1110101010100100 => 0010010101010111
1110101010101000 => 0001010101010111
1110101010110000 => 0000110101010111
1110110010001100 => 0011000100110111
1110110011001000 => 0001001100110111
1110110011100000 => 0000011100110111
1110110100010010 => 0100100010110111
1110111000001100 => 0011000001110111
1110111001010000 => 0000101001110111
1110111001100000 => 0000011001110111
1110111100000010 => 0100000011110111
1110111100001000 => 0001000011110111
1110111100010000 => 0000100011110111
1110111100100000 => 0000010011110111
1110111101000000 => 0000001011110111
1110111110000000 => 0000000111110111
1111000011001100 => 0011001100001111
1111000011101000 => 0001011100001111
1111000011110000 => 0000111100001111
1111001010101000 => 0001010101001111
1111010010010010 => 0100100100101111
1111010100001100 => 0011000010101111
1111010110000010 => 0100000110101111
1111010110001000 => 0001000110101111
1111010110100000 => 0000010110101111
1111010111000000 => 0000001110101111
1111011000001100 => 0011000001101111
1111011010010000 => 0000100101101111
1111011011000000 => 0000001101101111
1111011100000010 => 0100000011101111
1111011100000100 => 0010000011101111
1111011100001000 => 0001000011101111
1111011100010000 => 0000100011101111
1111011101000000 => 0000001011101111
1111011110000000 => 0000000111101111
1111100010001100 => 0011000100011111
1111100011000010 => 0100001100011111
1111100011001000 => 0001001100011111
1111100011100000 => 0000011100011111
1111100100001100 => 0011000010011111
1111100110000010 => 0100000110011111
1111100110001000 => 0001000110011111
1111100111000000 => 0000001110011111
1111101000001100 => 0011000001011111
1111101010000010 => 0100000101011111
1111101010000100 => 0010000101011111
1111101010100000 => 0000010101011111
1111101011000000 => 0000001101011111
1111101100000010 => 0100000011011111
1111101100000100 => 0010000011011111
1111101100001000 => 0001000011011111
1111101100010000 => 0000100011011111
1111101100100000 => 0000010011011111
1111101101000000 => 0000001011011111
1111101110000000 => 0000000111011111
1111110000001100 => 0011000000111111
1111110001000010 => 0100001000111111
1111110001000100 => 0010001000111111
1111110001010000 => 0000101000111111
1111110001100000 => 0000011000111111
1111110010000010 => 0100000100111111
1111110010000100 => 0010000100111111
1111110010010000 => 0000100100111111
1111110010100000 => 0000010100111111
1111110011000000 => 0000001100111111
1111110100000010 => 0100000010111111
1111110100000100 => 0010000010111111
1111110100010000 => 0000100010111111
1111110100100000 => 0000010010111111
1111110101000000 => 0000001010111111
1111110110000000 => 0000000110111111
1111111000000010 => 0100000001111111
1111111000000100 => 0010000001111111
1111111000001000 => 0001000001111111
1111111000010000 => 0000100001111111
1111111000100000 => 0000010001111111
1111111001000000 => 0000001001111111
1111111010000000 => 0000000101111111
1111111100000000 => 0000000011111111
1111111111 => 1111111111
1111111110 => 0111111111
1111111101 => 1011111111
1111111011 => 1101111111
1111111010 => 0101111111
1111110110 => 0110111111
1111110010 => 0100111111
1111101110 => 0111011111
1111101011 => 1101011111
1111101010 => 0101011111
1111100100 => 0010011111
1111100010 => 0100011111
1111100001 => 1000011111
1111011110 => 0111101111
1111010010 => 0100101111
1111000001 => 1000001111
1110111110 => 0111110111
1110111011 => 1101110111
1110110100 => 0010110111
1110101111 => 1111010111
1110101010 => 0101010111
1110100001 => 1000010111
1110011110 => 0111100111
1110011100 => 0011100111
1110010110 => 0110100111
1110010011 => 1100100111
1110010001 => 1000100111
1110010000 => 0000100111
1110001001 => 1001000111
1110001000 => 0001000111
1110000101 => 1010000111
1110000011 => 1100000111
1110000010 => 0100000111
1110000001 => 1000000111
1101111110 => 0111111011
1101111101 => 1011111011
1101111001 => 1001111011
1101110001 => 1000111011
1101100001 => 1000011011
1101010001 => 1000101011
1101010000 => 0000101011
1101001110 => 0111001011
1101001001 => 1001001011
1101001000 => 0001001011
1101000101 => 1010001011
1101000011 => 1100001011
1101000010 => 0100001011
1101000001 => 1000001011
1100111101 => 1011110011
1100111001 => 1001110011
1100110001 => 1000110011
1100101001 => 1001010011
1100100110 => 0110010011
1100100101 => 1010010011
1100100100 => 0010010011
1100100011 => 1100010011
1100100001 => 1000010011
1100011111 => 1111100011
1100011101 => 1011100011
1100011100 => 0011100011
1100011010 => 0101100011
1100011001 => 1001100011
1100010110 => 0110100011
1100010101 => 1010100011
1100010011 => 1100100011
1100010010 => 0100100011
1100010001 => 1000100011
1100010000 => 0000100011
1100001111 => 1111000011
1100001101 => 1011000011
1100001011 => 1101000011
1100001001 => 1001000011
1100001000 => 0001000011
1100000111 => 1110000011
1100000110 => 0110000011
1100000101 => 1010000011
1100000011 => 1100000011
1100000010 => 0100000011
1100000001 => 1000000011
1100000000 => 0000000011
1011111111 => 1111111101
1011111110 => 0111111101
1011111101 => 1011111101
1011111100 => 0011111101
1011111011 => 1101111101
1011111010 => 0101111101
1011111000 => 0001111101
1011110100 => 0010111101
1011101111 => 1111011101
1011101110 => 0111011101
1011101010 => 0101011101
1011100110 => 0110011101
1011100001 => 1000011101
1011100000 => 0000011101
1011011111 => 1111101101
1011011100 => 0011101101
1011010110 => 0110101101
1011010011 => 1100101101
1011010001 => 1000101101
1011010000 => 0000101101
1011001001 => 1001001101
1011001000 => 0001001101
1011000101 => 1010001101
1011000011 => 1100001101
1011000001 => 1000001101
1011000000 => 0000001101
1010111111 => 1111110101
1010111110 => 0111110101
1010111010 => 0101110101
1010110001 => 1000110101
1010101111 => 1111010101
1010101110 => 0111010101
1010101011 => 1101010101
1010101001 => 1001010101
1010101000 => 0001010101
1010100110 => 0110010101
1010100101 => 1010010101
1010100100 => 0010010101
1010100011 => 1100010101
1010100000 => 0000010101
1010011111 => 1111100101
1010011101 => 1011100101
1010011100 => 0011100101
1010011010 => 0101100101
1010011001 => 1001100101
1010011000 => 0001100101
1010010111 => 1110100101
1010010110 => 0110100101
1010010101 => 1010100101
1010010011 => 1100100101
1010010000 => 0000100101
1010001111 => 1111000101
1010001110 => 0111000101
1010001101 => 1011000101
1010001011 => 1101000101
1010001000 => 0001000101
1010000111 => 1110000101
1010000101 => 1010000101
1010000011 => 1100000101
1010000010 => 0100000101
1010000001 => 1000000101
1010000000 => 0000000101
1001111111 => 1111111001
1001111110 => 0111111001
1001111101 => 1011111001
1001111100 => 0011111001
1001111000 => 0001111001
1001110110 => 0110111001
1001110100 => 0010111001
1001110011 => 1100111001
1001110001 => 1000111001
1001101100 => 0011011001
1001101010 => 0101011001
1001101001 => 1001011001
1001101000 => 0001011001
1001100110 => 0110011001
1001100101 => 1010011001
1001100011 => 1100011001
1001011110 => 0111101001
1001011100 => 0011101001
1001011011 => 1101101001
1001011010 => 0101101001
1001011001 => 1001101001
1001010110 => 0110101001
1001010101 => 1010101001
1001010100 => 0010101001
1001010011 => 1100101001
1001001111 => 1111001001
1001001110 => 0111001001
1001001101 => 1011001001
1001001011 => 1101001001
1001001010 => 0101001001
1001001000 => 0001001001
1001000111 => 1110001001
1001000000 => 0000001001
1000111110 => 0111110001
1000111101 => 1011110001
1000111100 => 0011110001
1000111010 => 0101110001
1000111001 => 1001110001
1000111000 => 0001110001
1000110110 => 0110110001
1000110101 => 1010110001
1000110011 => 1100110001
1000101110 => 0111010001
1000101101 => 1011010001
1000101100 => 0011010001
1000101011 => 1101010001
1000100111 => 1110010001
1000100110 => 0110010001
1000100101 => 1010010001
1000100011 => 1100010001
1000011110 => 0111100001
1000011101 => 1011100001
1000011011 => 1101100001
1000010111 => 1110100001
1000010110 => 0110100001
1000010001 => 1000100001
1000010000 => 0000100001
1000001111 => 1111000001
1000001110 => 0111000001
1000001101 => 1011000001
1000001010 => 0101000001
1000001000 => 0001000001
1000000110 => 0110000001
1000000101 => 1010000001
1000000100 => 0010000001
1000000011 => 1100000001
1000000010 => 0100000001
1000000001 => 1000000001
1000000000 => 0000000001
10000000000 => 00000000001
10000000010 => 01000000001
10000000110 => 01100000001
10000001110 => 01110000001
10000011110 => 01111000001
10000111110 => 01111100001
10001111110 => 01111110001
10011111110 => 01111111001
10111111110 => 01111111101
11111111110 => 01111111111
10000000100 => 00100000001
10000001010 => 01010000001
10000010110 => 01101000001
10000101110 => 01110100001
100000111110 => 011111000001
10001011110 => 01111010001
10010111110 => 01111101001
10101111110 => 01111110101
11011111110 => 01111111011
101111111110 => 011111111101
100001011110 => 011110100001
100101111110 => 011111101001
11101111110 => 01111110111
10000010000 => 00001000001
10000100010 => 01000100001
100010011110 => 011110010001
100001101110 => 011101100001
10101011110 => 01111010101
10111011110 => 01111011101
11110111110 => 01111101111
111011111110 => 011111110111
10000100000 => 00000100001
10001000010 => 01000010001
10000100100 => 00100100001
100001000110 => 011000100001
10001001010 => 01010010001
100100011110 => 011110001001
100010101110 => 011101010001
100001110110 => 011011100001
10101101110 => 01110110101
101010111110 => 011111010101
100111011110 => 011110111001
11100111110 => 01111100111
11011011110 => 01111011011
10111101110 => 01110111101
11111011110 => 01111011111
100000100000 => 000001000001
10001000000 => 00000010001
10001000100 => 00100010001
10000101000 => 00010100001
10010001010 => 01010001001
10001010010 => 01001010001
101000011110 => 011110000101
100100101110 => 011101001001
100011001110 => 011100110001
100010110110 => 011011010001
100001111010 => 010111100001
11010011110 => 01111001011
10110101110 => 01110101101
10101110110 => 01101110101
11101011110 => 01111010111
11011101110 => 01110111011
10111110110 => 01101111101
11111101110 => 01110111111
111110111110 => 011111011111
1000000100000 => 0000010000001
1000001000010 => 0100001000001
10010000100 => 00100001001
10001001000 => 00010010001
100010001010 => 010100010001
100001001100 => 001100100001
10010010010 => 01001001001
10001010100 => 00101010001
101000101110 => 011101000101
10010101010 => 01010101001
100101001110 => 011100101001
100100110110 => 011011001001
100011010110 => 011010110001
100010111010 => 010111010001
100001111100 => 001111100001
11001001110 => 01110010011
10101010110 => 01101010101
11010101110 => 01110101011
10110110110 => 01101101101
101101011110 => 011110101101
10101111010 => 01011110101
101011101110 => 011101110101
100111110110 => 011011111001
11110011110 => 01111001111
11101101110 => 01110110111
11011110110 => 01101111011
10111111010 => 01011111101
11111110110 => 01101111111
1000001000100 => 0010001000001
10100000000 => 00000000101
11000000010 => 01000000011
10010001000 => 00010001001
10001010000 => 00001010001
10100010010 => 01001000101
10010100010 => 01000101001
10010010100 => 00101001001
11000100110 => 01100100011
110000101110 => 011101000011
10100101010 => 01010100101
101001001110 => 011100100101
101000110110 => 011011000101
100110001110 => 011100011001
100101010110 => 011010101001
100100111010 => 010111001001
100011100110 => 011001110001
100011011010 => 010110110001
100010111100 => 001111010001
10101011010 => 01011010101
11010110110 => 01101101011
10111010110 => 01101011101
10110111010 => 01011101101
11110101110 => 01110101111
11101110110 => 01101110111
10111111100 => 00111111101
11111111010 => 01011111111
111111101110 => 011101111111
=>
0000111110 => 0111110000
0001111010 => 0101111000
0001111100 => 0011111000
0001110110 => 0110111000
0011110010 => 0100111100
0011110100 => 0010111100
0010111010 => 0101110100
0010111100 => 0011110100
0011111000 => 0001111100
0001101110 => 0111011000
0011101010 => 0101011100
0011101100 => 0011011100
0011100110 => 0110011100
0111100010 => 0100011110
0111100100 => 0010011110
0100111010 => 0101110010
0100111100 => 0011110010
0111101000 => 0001011110
0010110110 => 0110110100
0110110010 => 0100110110
0110110100 => 0010110110
0101101010 => 0101011010
0101101100 => 0011011010
0110111000 => 0001110110
0101110010 => 0100111010
0101110100 => 0010111010
0101111000 => 0001111010
0111110000 => 0000111110
0101010101 => 1010101010
0000011111 => 1111100000
0100001111 => 1111000010
0000110111 => 1110110000
0000101111 => 1111010000
0101000111 => 1110001010
0000111011 => 1101110000
0100011011 => 1101100010
0001101011 => 1101011000
0001011011 => 1101101000
0100010111 => 1110100010
0001100111 => 1110011000
0001001111 => 1111001000
0001010111 => 1110101000
0101010011 => 1100101010
0000111101 => 1011110000
0100011101 => 1011100010
0001101101 => 1011011000
0001011101 => 1011101000
0101001101 => 1011001010
0001110101 => 1010111000
0100110101 => 1010110010
0011010101 => 1010101100
0010110101 => 1010110100
0100101101 => 1011010010
0011000111 => 1110001100
0010001111 => 1111000100
0010101101 => 1011010100
0101001011 => 1101001010
0001110011 => 1100111000
0100110011 => 1100110010
0011010011 => 1100101100
0010110011 => 1100110100
0100100111 => 1110010010
0011001101 => 1011001100
0010011101 => 1011100100
0010100111 => 1110010100
0100101011 => 1101010010
0011001011 => 1101001100
0010011011 => 1101100100
0010010111 => 1110100100
0010101011 => 1101010100
0111100001 => 1000011110
0111000101 => 1010001110
0110110001 => 1000110110
0111010001 => 1000101110
0110010101 => 1010100110
0101110001 => 1000111010
0101100101 => 1010011010
0101011001 => 1001101010
0101101001 => 1001011010
0110100101 => 1010010110
0110101001 => 1001010110
0110011001 => 1001100110
0111001001 => 1001001110
0111011000 => 0001101110
0110101100 => 0011010110
0111001100 => 0011001110
0111010100 => 0010101110
0101011100 => 0011101010
0101010110 => 0110101010
0101011010 => 0101101010
0111000110 => 0110001110
0110011100 => 0011100110
0110010110 => 0110100110
0110011010 => 0101100110
0101100110 => 0110011010
0111001010 => 0101001110
0110100110 => 0110010110
0111010010 => 0100101110
0110101010 => 0101010110
00001000001 => 10000010000
000011011110 => 011110110000
010000011111 => 111110000010
000001111101 => 101111100000
111100000101 => 101000001111
011111000001 => 100000111110
010111110000 => 000011111010
0011011100 => 0011101100
0001011110 => 0111101000
0011010110 => 0110101100
0010101110 => 0111010100
0011001110 => 0111001100
0010011110 => 0111100100
0100101110 => 0111010010
0101001110 => 0111001010
0110001110 => 0111000110
0100011110 => 0111100010
0011011001 => 1001101100
0011011010 => 0101101100
0100110110 => 0110110010
0010111001 => 1001110100
0001111001 => 1001111000
0011110001 => 1000111100
0110010011 => 1100100110
0110001011 => 1101000110
0110000111 => 1110000110
0111000011 => 1100001110
0011101001 => 1001011100
0011100101 => 1010011100
0100111001 => 1001110010
0011100011 => 1100011100
0101100011 => 1100011010
0110100011 => 1100010110
10110110110110100000 => 00000101101101101101
10110110111010010000 => 00001001011101101101
10110111010011010000 => 00001011001011101101
10110111011010001000 => 00010001011011101101
10110111101001001000 => 00010010010111101101
10111010011011010000 => 00001011011001011101
10111010011101001000 => 00010010111001011101
10111011010001101000 => 00010110001011011101
10111011011010000100 => 00100001011011011101
10111011101001000100 => 00100010010111011101
10111101001001101000 => 00010110010010111101
10111101001101000100 => 00100010110010111101
10111101101000100100 => 00100100010110111101
10111110100100100100 => 00100100100101111101
11010011011011010000 => 00001011011011001011
11010011011101001000 => 00010010111011001011
11010011101001101000 => 00010110010111001011
11010011101101000100 => 00100010110111001011
11010011110100100100 => 00100100101111001011
11011010001101101000 => 00010110110001011011
11011010001110100100 => 00100101110001011011
11011011010000110100 => 00101100001011011011
11011011011010000010 => 01000001011011011011
11011011101001000010 => 01000010010111011011
11011101001000110100 => 00101100010010111011
11011101001101000010 => 01000010110010111011
11011101101000100010 => 01000100010110111011
11011110100100100010 => 01000100100101111011
11101001001101101000 => 00010110110010010111
11101001001110100100 => 00100101110010010111
11101001101000110100 => 00101100010110010111
11101001101101000010 => 01000010110110010111
11101001110100100010 => 01000100101110010111
11101101000100110100 => 00101100100010110111
11101101000110100010 => 01000101100010110111
11101101101000010010 => 01001000010110110111
11101110100100010010 => 01001000100101110111
11110100100100110100 => 00101100100100101111
11110100100110100010 => 01000101100100101111
11110100110100010010 => 01001000101100101111
11110110100010010010 => 01001001000101101111
11111010010010010010 => 01001001001001011111
10100100010000 => 00001000100101
111111110000000010 => 010000000011111111
101111111100000000 => 000000001111111101
11111111100000000010 => 01000000000111111111
111111101000000010 => 010000000101111111
101111111010000000 => 000000010111111101
10111111111000000000 => 00000000011111111101
1111111111000000000010 => 0100000000001111111111
11111111010000000010 => 01000000001011111111
111111100100000010 => 010000001001111111
111111011000000010 => 010000000110111111
101111111001000000 => 000000100111111101
101111110110000000 => 000000011011111101
10111111110100000000 => 00000000101111111101
1011111111110000000000 => 0000000000111111111101
0000000010 => 0100000000
00000000010 => 01000000000
0100000100 => 0010000010
0000000001 => 1000000000
0100000001 => 1000000010
0110000001 => 1000000110
0111000001 => 1000001110
0111110001 => 1000111110
0111111001 => 1001111110
0111111101 => 1011111110
0111111111 => 1111111110
00000000001 => 10000000000
01000000001 => 10000000010
0010000001 => 1000000100
01100000001 => 10000000110
0101000001 => 1000001010
01110000001 => 10000001110
0110100001 => 1000010110
01111000001 => 10000011110
01111100001 => 10000111110
0111101001 => 1001011110
01111110001 => 10001111110
0111110101 => 1010111110
01111111001 => 10011111110
0111111011 => 1101111110
01111111101 => 10111111110
01111111111 => 11111111110
0000000101 => 1010000000
0000001101 => 1011000000
0000011101 => 1011100000
0001111101 => 1011111000
0011111101 => 1011111100
00000000101 => 10100000000
0000001001 => 1001000000
00000001101 => 10110000000
0000010101 => 1010100000
00000011101 => 10111000000
0000101101 => 1011010000
00000111101 => 10111100000
00001111101 => 10111110000
0010111101 => 1011110100
00011111101 => 10111111000
0101111101 => 1011111010
00111111101 => 10111111100
11111111101 => 10111111111
0100000000 => 0000000010
0100000011 => 1100000010
0100000111 => 1110000010
0100011111 => 1111100010
0100111111 => 1111110010
0101111111 => 1111111010
01000000000 => 00000000010
0100000010 => 0100000010
01000000011 => 11000000010
0100000101 => 1010000010
01000000111 => 11100000010
0100001011 => 1101000010
01000001111 => 11110000010
01000011111 => 11111000010
0100101111 => 1111010010
01000111111 => 11111100010
0101011111 => 1111101010
01001111111 => 11111110010
0110111111 => 1111110110
01011111111 => 11111111010
0000000000 => 0000000000
101010101010101100 => 001101010101010101
101010101010110100 => 001011010101010101
10101010101010101100 => 00110101010101010101
110010101010101100 => 001101010101010011
110010101010110100 => 001011010101010011
10101010101010110100 => 00101101010101010101
1010101010101010101100 => 0011010101010101010101
11001010101010101100 => 00110101010101010011
101100101010101100 => 001101010101001101
110100101010101100 => 001101010101001011
101100101010110100 => 001011010101001101
110100101010110100 => 001011010101001011
11001010101010110100 => 00101101010101010011
1010101010101010110100 => 0010110101010101010101
110101010101010100 => 001010101010101011
111000101010101010 => 010101010101000111
111001010101010100 => 001010101010100111
11010101010101010100 => 00101010101010101011
11100010101010101010 => 01010101010101000111
101110001010101010 => 010101010100011101
110110001010101010 => 010101010100011011
110110010101010100 => 001010101010011011
111010010101010100 => 001010101010010111
11100101010101010100 => 00101010101010100111
1101010101010101010100 => 0010101010101010101011
101011111110000000 => 000000011111110101
101111111000000010 => 010000000111111101
10101111111100000000 => 00000000111111110101
101100111111000000 => 000000111111001101
110011111100000010 => 010000001111110011
10111111110000000010 => 01000000001111111101
110010101010101010 => 010101010101010011
110101010101011000 => 000110101010101011
11001010101010101010 => 01010101010101010011
11010101010101011000 => 00011010101010101011
110101010101101000 => 000101101010101011
110101010101100100 => 001001101010101011
110010101010110010 => 010011010101010011
1100101010101010101010 => 0101010101010101010011
101011111100000010 => 010000001111110101
101111110000001010 => 010100000011111101
10101111111000000010 => 01000000011111110101
101011111010000010 => 010000010111110101
101111101000001010 => 010100000101111101
10111111100000001010 => 01010000000111111101
1010111111110000000010 => 0100000000111111110101
10101111110100000010 => 01000000101111110101
101011110110000010 => 010000011011110101
101011111001000010 => 010000100111110101
101111011000001010 => 010100000110111101
101111100100001010 => 010100001001111101
10111111010000001010 => 01010000001011111101
1011111111000000001010 => 0101000000001111111101
111111110000000100 => 001000000011111111
111111101000000100 => 001000000101111111
11111111100000000100 => 00100000000111111111
101010101011001100 => 001100110101010101
101010101011100100 => 001001110101010101
111111011000000100 => 001000000110111111
111111100100000100 => 001000001001111111
11111111010000000100 => 00100000001011111111
1111111111000000000100 => 0010000000001111111111
111001010101010010 => 010010101010100111
110011010101010100 => 001010101010110011
110101010101001100 => 001100101010101011
101101010101011000 => 000110101010101101
111111110100000000 => 000000001011111111
111111110010000000 => 000000010011111111
11111111101000000000 => 00000000010111111111
11111111100100000000 => 00000000100111111111
1111111111010000000000 => 0000000000101111111111
110111111010000000 => 000000010111111011
110111111001000000 => 000000100111111011
10111111110010000000 => 00000001001111111101
1111111111001000000000 => 0000000001001111111111
111010101010101000 => 000101010101010111
110101010101010010 => 010010101010101011
111010101010100010 => 010001010101010111
11101010101010101000 => 00010101010101010111
11010101010101010010 => 01001010101010101011
110101010101001010 => 010100101010101011
111010101010001010 => 010100010101010111
111010101010100100 => 001001010101010111
11101010101010100010 => 01000101010101010111
1110101010101010101000 => 0001010101010101010111
110111111100000000 => 000000001111111011
101111110000001100 => 001100000011111101
111111110000001000 => 000100000011111111
111011111100000000 => 000000001111110111
11011111111000000000 => 00000000011111111011
111111011010000000 => 000000010110111111
11111110110100000000 => 00000000101101111111
111110111010000000 => 000000010111011111
111111011001000000 => 000000100110111111
111110111000000010 => 010000000111011111
111111001100000010 => 010000001100111111
11111110110000000010 => 01000000001101111111
110011111110000000 => 000000011111110011
111111111000000000 => 000000000111111111
11001111111100000000 => 00000000111111110011
110011111101000000 => 000000101111110011
11111111110000000000 => 00000000001111111111
1100111111111000000000 => 0000000001111111110011
11001111111010000000 => 00000001011111110011
110011111011000000 => 000000110111110011
110011111100100000 => 000001001111110011
111111101100000000 => 000000001101111111
1111111111100000000000 => 0000000000011111111111
111111100000001100 => 001100000001111111
111111010000001100 => 001100000010111111
11111111000000001100 => 00110000000011111111
111110110000001100 => 001100000011011111
111111001000001100 => 001100000100111111
11111110100000001100 => 00110000000101111111
1111111110000000001100 => 0011000000000111111111
11000000000 => 00000000011
10000000001 => 10000000001
00010100001 => 10000101000
0000010000001 => 1000000100000
100000001000000 => 000000100000001
1000001010000 => 0000101000001
00100100001 => 10000100100
00010010001 => 10001001000
0000101000001 => 1000001010000
000000100000001 => 100000001000000
10000000010000000 => 00000001000000001
100000010100000 => 000001010000001
1000010010000 => 0000100100001
1000001001000 => 0001001000001
01000001000 => 00010000010
01000100001 => 10000100010
00101010001 => 10001010100
0001001000001 => 1000001001000
00010000010 => 01000001000
00010001001 => 10010001000
0000100100001 => 1000010010000
000001010000001 => 100000010100000
00000001000000001 => 10000000010000000
1000000000100000000 => 0000000010000000001
10000000101000000 => 00000010100000001
100000100100000 => 000001001000001
100000010010000 => 000010010000001
1000100010000 => 0000100010001
1000010101000 => 0001010100001
10100001000 => 00010000101
10000100001 => 10000100001
01000010100 => 00101000010
01001010001 => 10001010010
0010001000001 => 1000001000100
00100000100 => 00100000100
00100010001 => 10001000100
00101000010 => 01000010100
00101001001 => 10010010100
0001010100001 => 1000010101000
000010010000001 => 100000010010000
00010000101 => 10100001000
0000100010001 => 1000100010000
000001001000001 => 100000100100000
00000010100000001 => 10000000101000000
0000000010000000001 => 1000000000100000000
100000000001000000000 => 000000000100000000001
1000000001010000000 => 0000000101000000001
10000001001000000 => 00000010010000001
10000000100100000 => 00000100100000001
100001000100000 => 000001000100001
100000101010000 => 000010101000001
100000010001000 => 000100010000001
1001000010000 => 0000100001001
1000100101000 => 0001010010001
1000010001000 => 0001000100001
1000010100100 => 0010010100001
0100000010000 => 0000100000010
10100010100 => 00101000101
10010100100 => 00100101001
10001010001 => 10001010001
0100001000001 => 1000001000010
01000100100 => 00100100010
01000010010 => 01001000010
01010000100 => 00100001010
01010010001 => 10001001010
01001000010 => 01000010010
01001001001 => 10010010010
0010010100001 => 1000010100100
000100010000001 => 100000010001000
00100001010 => 01010000100
00100100010 => 01000100100
00100101001 => 10010100100
0001000100001 => 1000010001000
00101000101 => 10100010100
0001010010001 => 1000100101000
000010101000001 => 100000101010000
00000100100000001 => 10000000100100000
0000100000010 => 0100000010000
0000100001001 => 1001000010000
000001000100001 => 100001000100000
00000010010000001 => 10000001001000000
0000000101000000001 => 1000000001010000000
000000000100000000001 => 100000000001000000000
00000110111110 => 01111101100000
000111011100 => 001110111000
100011111000 => 000111110001
10000011111100 => 00111111000001
0000001101111110 => 0111111011000000
00001110111100 => 00111101110000
000111011010 => 010110111000
001011011100 => 001110110100
100011110100 => 001011110001
100101111000 => 000111101001
10000111111000 => 00011111100001
1000000111111100 => 0011111110000001
000000011011111110 => 011111110110000000
0000011101111100 => 0011111011100000
00001110111010 => 01011101110000
00010110111100 => 00111101101000
000111010110 => 011010111000
001111011000 => 000110111100
010011011100 => 001110110010
000101101110 => 011101101000
100011101100 => 001101110001
100111110000 => 000011111001
10000111110100 => 00101111100001
010001111010 => 010111100010
101001111000 => 000111100101
10001011111000 => 00011111010001
1000001111111000 => 0001111111000001
100000001111111100 => 001111111100000001
00000000110111111110 => 01111111101100000000
000000111011111100 => 001111110111000000
0000011101111010 => 0101111011100000
0000101101111100 => 0011111011010000
00001110110110 => 01101101110000
00011110111000 => 00011101111000
00100110111100 => 00111101100100
000111001110 => 011100111000
001111010100 => 001010111100
001011011010 => 010110110100
010111011000 => 000110111010
100011011100 => 001110110001
001101101100 => 001101101100
100111101000 => 000101111001
10000111101100 => 00110111100001
001001110110 => 011011100100
100101110100 => 001011101001
010011110010 => 010011110010
10001111110000 => 00001111110001
1000001111110100 => 0010111111000001
110001111000 => 000111100011
10010011111000 => 00011111001001
1000010111111000 => 0001111110100001
100000011111111000 => 000111111110000001
10000000011111111100 => 00111111111000000001
0000000001101111111110 => 0111111111011000000000
00000001110111111100 => 00111111101110000000
000000111011111010 => 010111110111000000
000001011011111100 => 001111110110100000
0000011101110110 => 0110111011100000
0000111101111000 => 0001111011110000
0001001101111100 => 0011111011001000
00001110101110 => 01110101110000
00011110110100 => 00101101111000
00010110111010 => 01011101101000
00101110111000 => 00011101110100
01000110111100 => 00111101100010
00001011011110 => 01111011010000
001111001100 => 001100111100
001111010010 => 010010111100
010111010100 => 001010111010
011011011000 => 000110110110
100111011000 => 000110111001
10000111011100 => 00111011100001
001101101010 => 010101101100
010101101100 => 001101101010
001011100110 => 011001110100
100111100100 => 001001111001
010011101010 => 010101110010
10001111101000 => 00010111110001
1000001111101100 => 0011011111000001
011001110100 => 001011100110
010101110010 => 010011101010
10001011110100 => 00101111010001
10010111110000 => 00001111101001
1000011111110000 => 0000111111100001
100000011111110100 => 001011111110000001
01000011111010 => 01011111000010
10100011111000 => 00011111000101
1000100111111000 => 0001111110010001
100000101111111000 => 000111111101000001
10000000111111111000 => 00011111111100000001
1000000000111111111100 => 0011111111110000000001
00000011111101 => 10111111000000
000010111101 => 101111010000
010000101111 => 111101000010
01000000111111 => 11111100000010
0000000111111101 => 1011111110000000
00000101111101 => 10111110100000
000011011101 => 101110110000
000100111101 => 101111001000
010000110111 => 111011000010
010001001111 => 111100100010
01000001011111 => 11111010000010
0100000001111111 => 1111111000000010
000000001111111101 => 101111111100000000
0000001011111101 => 1011111101000000
00000110111101 => 10111101100000
00001001111101 => 10111110010000
000011101101 => 101101110000
000101011101 => 101110101000
001000111101 => 101111000100
000011110011 => 110011110000
010000111011 => 110111000010
010001010111 => 111010100010
01000001101111 => 11110110000010
001100001111 => 111100001100
010010001111 => 111100010010
01000010011111 => 11111001000010
0100000010111111 => 1111110100000010
010000000011111111 => 111111110000000010
00000000011111111101 => 10111111111000000000
000000010111111101 => 101111111010000000
0000001101111101 => 1011111011000000
0000010011111101 => 1011111100100000
00000111011101 => 10111011100000
00001010111101 => 10111101010000
00010001111101 => 10111110001000
000011110101 => 101011110000
000101101101 => 101101101000
000110011101 => 101110011000
001001011101 => 101110100100
010000111101 => 101111000010
000101110011 => 110011101000
010001011011 => 110110100010
01000001110111 => 11101110000010
000111000111 => 111000111000
010001100111 => 111001100010
001100010111 => 111010001100
010010010111 => 111010010010
01000010101111 => 11110101000010
0100000011011111 => 1111101100000010
010100001111 => 111100001010
01000100011111 => 11111000100010
0100000100111111 => 1111110010000010
010000000101111111 => 111111101000000010
01000000000111111111 => 11111111100000000010
0000000000111111111101 => 1011111111110000000000
00000000101111111101 => 10111111110100000000
000000011011111101 => 101111110110000000
000000100111111101 => 101111111001000000
0000001110111101 => 1011110111000000
0000010101111101 => 1011111010100000
0000100011111101 => 1011111100010000
00000111101101 => 10110111100000
00001011011101 => 10111011010000
00001100111101 => 10111100110000
00010010111101 => 10111101001000
00100001111101 => 10111110000100
00000111110011 => 11001111100000
000101110101 => 101011101000
000110101101 => 101101011000
001001101101 => 101101100100
001010011101 => 101110010100
010001011101 => 101110100010
01000001111011 => 11011110000010
000110110011 => 110011011000
001001110011 => 110011100100
000111001011 => 110100111000
010001101011 => 110101100010
001100011011 => 110110001100
010010011011 => 110110010010
01000010110111 => 11101101000010
0100000011101111 => 1111011100000010
001011000111 => 111000110100
001100100111 => 111001001100
010010100111 => 111001010010
01000011001111 => 11110011000010
010100010111 => 111010001010
01000100101111 => 11110100100010
0100000101011111 => 1111101010000010
010000000110111111 => 111111011000000010
00110000011111 => 11111000001100
01001000011111 => 11111000010010
0100001000111111 => 1111110001000010
010000001001111111 => 111111100100000010
01000000001011111111 => 11111111010000000010
0100000000001111111111 => 1111111111000000000010
01111110000001 => 10000001111110
011110100001 => 100001011110
111010000101 => 101000010111
11111000000101 => 10100000011111
0111111100000001 => 1000000011111110
01111101000001 => 10000010111110
011101100001 => 100001101110
011110010001 => 100010011110
110110000101 => 101000011011
111001000101 => 101000100111
11110100000101 => 10100000101111
1111110000000101 => 1010000000111111
011111111000000001 => 100000000111111110
0111111010000001 => 1000000101111110
01111011000001 => 10000011011110
01111100100001 => 10000100111110
011011100001 => 100001110110
011101010001 => 100010101110
011110001001 => 100100011110
100111100001 => 100001111001
101110000101 => 101000011101
110101000101 => 101000101011
11101100000101 => 10100000110111
111000011001 => 100110000111
111000100101 => 101001000111
11110010000101 => 10100001001111
1111101000000101 => 1010000001011111
111111100000000101 => 101000000001111111
01111111110000000001 => 10000000001111111110
011111110100000001 => 100000001011111110
0111110110000001 => 1000000110111110
0111111001000001 => 1000001001111110
01110111000001 => 10000011101110
01111010100001 => 10000101011110
01111100010001 => 10001000111110
010111100001 => 100001111010
011011010001 => 100010110110
011100110001 => 100011001110
011101001001 => 100100101110
011110000101 => 101000011110
100111010001 => 100010111001
101101000101 => 101000101101
11011100000101 => 10100000111011
110001110001 => 100011100011
110011000101 => 101000110011
110100011001 => 100110001011
110100100101 => 101001001011
11101010000101 => 10100001010111
1111011000000101 => 1010000001101111
111000010101 => 101010000111
11110001000101 => 10100010001111
1111100100000101 => 1010000010011111
111111010000000101 => 101000000010111111
11111111000000000101 => 10100000000011111111
0111111111100000000001 => 1000000000011111111110
01111111101000000001 => 10000000010111111110
011111101100000001 => 100000001101111110
011111110010000001 => 100000010011111110
0111101110000001 => 1000000111011110
0111110101000001 => 1000001010111110
0111111000100001 => 1000010001111110
01101111000001 => 10000011110110
01110110100001 => 10000101101110
01111001100001 => 10000110011110
01111010010001 => 10001001011110
01111100001001 => 10010000111110
10011111000001 => 10000011111001
010111010001 => 100010111010
011010110001 => 100011010110
011011001001 => 100100110110
011100101001 => 100101001110
011101000101 => 101000101110
10111100000101 => 10100000111101
100110110001 => 100011011001
100111001001 => 100100111001
101001110001 => 100011100101
101011000101 => 101000110101
101100011001 => 100110001101
101100100101 => 101001001101
11011010000101 => 10100001011011
1110111000000101 => 1010000001110111
110001101001 => 100101100011
110010011001 => 100110010011
110010100101 => 101001010011
11100110000101 => 10100001100111
110100010101 => 101010001011
11101001000101 => 10100010010111
1111010100000101 => 1010000010101111
111110110000000101 => 101000000011011111
11110000011001 => 10011000001111
11110000100101 => 10100100001111
1111100010000101 => 1010000100011111
111111001000000101 => 101000000100111111
11111110100000000101 => 10100000000101111111
1111111110000000000101 => 1010000000000111111111
01011111100000 => 00000111111010
010111101000 => 000101111010
0101111111000000 => 0000001111111010
01011111010000 => 00001011111010
010111100100 => 001001111010
010111111110000000 => 000000011111111010
0101111110100000 => 0000010111111010
01011110110000 => 00001101111010
01011111001000 => 00010011111010
010110111000 => 000111011010
010111100010 => 010001111010
011001111000 => 000111100110
011110000110 => 011000011110
01011111111100000000 => 00000000111111111010
010111111101000000 => 000000101111111010
0101111101100000 => 0000011011111010
0101111110010000 => 0000100111111010
01011101110000 => 00001110111010
01011110101000 => 00010101111010
01011111000100 => 00100011111010
010101111000 => 000111101010
010110110100 => 001011011010
010111001100 => 001100111010
010111010010 => 010010111010
011100011100 => 001110001110
011101000110 => 011000101110
0101111111111000000000 => 0000000001111111111010
01011111111010000000 => 00000001011111111010
010111111011000000 => 000000110111111010
010111111100100000 => 000001001111111010
0101111011100000 => 0000011101111010
0101111101010000 => 0000101011111010
0101111110001000 => 0001000111111010
01011011110000 => 00001111011010
01011101101000 => 00010110111010
01011110011000 => 00011001111010
01011110100100 => 00100101111010
01011111000010 => 01000011111010
01100111110000 => 00001111100110
010101110100 => 001011101010
010110101100 => 001101011010
010110110010 => 010011011010
010111001010 => 010100111010
011001101100 => 001101100110
011001110010 => 010011100110
011010011100 => 001110010110
011011000110 => 011000110110
011100011010 => 010110001110
011100100110 => 011001001110
01111100000110 => 01100000111110
11100000001 => 10000000111
11010000001 => 10000001011
11001000001 => 10000010011
11000100001 => 10000100011
11000010001 => 10001000011
11000001001 => 10010000011
11000000101 => 10100000011
11000000011 => 11000000011
11000010010 => 01001000011
0010001100 => 0011000100
11000001000 => 00010000011
0100001000 => 0001000010
01000000100 => 00100000010
01111111011 => 11011111110
0111110111 => 1110111110
01111110101 => 10101111110
0111100111 => 1110011110
01111101001 => 10010111110
0111001011 => 1101001110
01111010001 => 10001011110
01110100001 => 10000101110
0100100011 => 1100010010
01101000001 => 10000010110
0001000011 => 1100001000
01010000001 => 10000001010
0010000010 => 0100000100
00100000001 => 10000000100
0001000001 => 1000001000
0001100001 => 1000011000
0010110001 => 1000110100
0011101101 => 1011011100
0011110111 => 1110111100
0000000100 => 0010000000
10111111101 => 10111111101
01011111101 => 10111111010
00101111101 => 10111110100
00010111101 => 10111101000
00001011101 => 10111010000
00000101101 => 10110100000
00000010101 => 10101000000
00000001001 => 10010000000
00000000100 => 00100000000
01101111111 => 11111110110
0111011111 => 1111101110
01010111111 => 11111101010
0111001111 => 1111001110
01001011111 => 11111010010
0110100111 => 1110010110
01000101111 => 11110100010
01000010111 => 11101000010
0110001001 => 1001000110
01000001011 => 11010000010
0110000100 => 0010000110
01000000101 => 10100000010
01000000010 => 01000000010
0110111001 => 1001110110
0001101001 => 1001011000
0000110001 => 1000110000
0000010001 => 1000100000
11111110010 => 01001111111
11111100010 => 01000111111
11111000010 => 01000011111
11110000010 => 01000001111
11100000010 => 01000000111
10111111111 => 11111111101
10111111000 => 00011111101
10111110000 => 00001111101
10111100000 => 00000111101
10111000000 => 00000011101
10110000000 => 00000001101
10011111101 => 10111111001
10001111101 => 10111110001
10000111101 => 10111100001
10000011101 => 10111000001
10000001101 => 10110000001
10000000101 => 10100000001
0111111010 => 0101111110
0011111010 => 0101111100
0000111010 => 0101110000
0000011010 => 0101100000
0000001010 => 0101000000
11111111011 => 11011111111
01111111010 => 01011111110
00111111010 => 01011111100
0101111010 => 0101111010
00011111010 => 01011111000
00001111010 => 01011110000
0001011010 => 0101101000
00000111010 => 01011100000
0000101010 => 0101010000
00000011010 => 01011000000
0000010010 => 0100100000
00000001010 => 01010000000
0010011111 => 1111100100
0000100111 => 1110010000
0000010011 => 1100100000
10011111111 => 11111111001
00100111111 => 11111100100
00010011111 => 11111001000
00001001111 => 11110010000
00000100111 => 11100100000
00000010011 => 11001000000
0010000000 => 0000000100
10101111111 => 11111110101
10100111111 => 11111100101
10100011111 => 11111000101
10100001111 => 11110000101
10100000111 => 11100000101
10100000011 => 11000000101
10100000001 => 10000000101
00100000000 => 00000000100
0001010101 => 1010101000
10110101010 => 01010101101
11010101010 => 01010101011
10101101010 => 01010110101
10101010100 => 00101010101
101010001110 => 011100010101
10101010010 => 01001010101
101010100110 => 011001010101
101000111010 => 010111000101
10101001010 => 01010010101
101010011010 => 010110010101
100011101010 => 010101110001
100110101010 => 010101011001
101001101010 => 010101100101
101001010110 => 011010100101
100101011010 => 010110101001
101010010110 => 011010010101
101001100110 => 011001100101
101001011010 => 010110100101
100110011010 => 010110011001
100101101010 => 010101101001
11111111100 => 00111111111
01001001010 => 01010010010
01001010010 => 01001010010
01010001010 => 01010001010
01010010010 => 01001001010
00100010010 => 01001000100
10100100010 => 01000100101
10100100100 => 00100100101
00100101010 => 01010100100
01010101010 => 01010101010
01010100010 => 01000101010
01000101010 => 01010100010
01000100010 => 01000100010
10101000100 => 00100010101
00101010010 => 01001010100
00101001010 => 01010010100
01001000100 => 00100010010
00100010101 => 10101000100
01001000101 => 10100010010
10001000101 => 10100010001
01000010001 => 10001000010
10100010001 => 10001000101
00101010100 => 00101010100
00101000100 => 00100010100
00100100100 => 00100100100
01010100100 => 00100101010
10010010001 => 10001001001
00010010100 => 00101001000
00100010100 => 00101000100
00010010010 => 01001001000
00010001010 => 01010001000
00100001001 => 10010000100
10010001001 => 10010001001
01001010101 => 10101010010
01010010100 => 00101001010
01000100101 => 10100100010
01010010101 => 10101001010
01010001000 => 00010001010
01010101001 => 10010101010
01001010100 => 00101010010
01000101001 => 10010100010
01010100101 => 10100101010
01001001000 => 00010010010
01010001001 => 10010001010
01000101000 => 00010100010
00101001000 => 00010010100
10010100101 => 10100101001
10100101001 => 10010100101
10010010101 => 10101001001
10100100101 => 10100100101
10101001001 => 10010010101
10101010101 => 10101010101
00001000010 => 01000010000
00010100010 => 01000101000
0000100010010 => 0100100010000
00010000100 => 00100001000
00001000100 => 00100010000
00010100100 => 00100101000
00100100101 => 10100100100
10001001001 => 10010010001
00001001000 => 00010010000
00001010000 => 00001010000
00010001000 => 00010001000
00100101000 => 00010100100
00010101000 => 00010101000
00100010000 => 00001000100
00000100000 => 00000100000
00010010000 => 00001001000
01000010000 => 00001000010
00100001000 => 00010000100
011111000100 => 001000111110
011111000010 => 010000111110
011101100100 => 001001101110
011101100010 => 010001101110
011011100100 => 001001110110
011011010100 => 001010110110
011011100010 => 010001110110
011011010010 => 010010110110
011111010000 => 000010111110
011111001000 => 000100111110
001111001010 => 010100111100
011101110000 => 000011101110
011111100000 => 000001111110
011101101000 => 000101101110
010101101010 => 010101101010
001111000110 => 011000111100
010011110100 => 001011110010
010011101100 => 001101110010
011011110000 => 000011110110
011011101000 => 000101110110
010011011010 => 010110110010
001101100110 => 011001101100
001011010101 => 101010110100
001101010101 => 101010101100
001011010011 => 110010110100
001101010011 => 110010101100
001011001011 => 110100110100
001011001101 => 101100110100
001101001011 => 110100101100
001101001101 => 101100101100
001001110101 => 101011100100
001010101101 => 101101010100
001100101101 => 101101001100
001101000111 => 111000101100
001010110101 => 101011010100
001100110101 => 101011001100
001001100111 => 111001100100
001001101011 => 110101100100
000110110101 => 101011011000
001010100111 => 111001010100
001010101011 => 110101010100
001100101011 => 110101001100
001010110011 => 110011010100
001100110011 => 110011001100
000111010101 => 101010111000
001000110111 => 111011000100
001000111011 => 110111000100
001001010111 => 111010100100
001001011011 => 110110100100
001010010111 => 111010010100
001010011011 => 110110010100
001100011101 => 101110001100
000111010011 => 110010111000
010101001011 => 110100101010
010101010011 => 110010101010
010011001011 => 110100110010
010011010011 => 110010110010
010100011011 => 110110001010
010010101011 => 110101010010
010010110011 => 110011010010
010100101011 => 110101001010
010100110011 => 110011001010
000110011011 => 110110011000
010100100111 => 111001001010
000110101011 => 110101011000
010101000111 => 111000101010
000100111011 => 110111001000
000101011011 => 110110101000
000101101011 => 110101101000
010001110011 => 110011100010
010101101001 => 100101101010
010101011001 => 100110101010
100101101001 => 100101101001
100101011001 => 100110101001
101001101001 => 100101100101
011001101001 => 100101100110
101001011001 => 100110100101
011001011001 => 100110100110
010111001001 => 100100111010
011010101001 => 100101010110
011010011001 => 100110010110
110001011001 => 100110100011
010110101001 => 100101011010
010110011001 => 100110011010
110011001001 => 100100110011
101011001001 => 100100110101
010110110001 => 100011011010
110010101001 => 100101010011
101010101001 => 100101010101
101010011001 => 100110010101
100110101001 => 100101011001
100110011001 => 100110011001
010101110001 => 100011101010
110110001001 => 100100011011
101110001001 => 100100011101
110101001001 => 100100101011
101101001001 => 100100101101
110100101001 => 100101001011
101100101001 => 100101001101
011100011001 => 100110001110
100101110001 => 100011101001
010101011010 => 010110101010
010101010110 => 011010101010
011001011010 => 010110100110
011001010110 => 011010100110
011010011010 => 010110010110
010110011010 => 010110011010
011010010110 => 011010010110
010110010110 => 011010011010
010110101010 => 010101011010
010110100110 => 011001011010
011100010110 => 011010001110
010101100110 => 011001101010
011100110010 => 010011001110
011010110010 => 010011010110
011100101010 => 010101001110
011010101010 => 010101010110
011010100110 => 011001010110
011001101010 => 010101100110
011001100110 => 011001100110
010101011100 => 001110101010
011101010010 => 010010101110
011101001010 => 010100101110
011011001010 => 010100110110
010111000110 => 011000111010
011001011100 => 001110100110
100101101100 => 001101101001
100111001100 => 001100111001
001111110000 => 000011111100
001011110010 => 010011110100
001101110010 => 010011101100
001111100010 => 010001111100
100111010100 => 001010111001
001101111000 => 000111101100
001101110100 => 001011101100
001011101010 => 010101110100
001011010110 => 011010110100
010100011101 => 101110001010
010001110101 => 101011100010
000101010111 => 111010101000
000110010111 => 111010011000
000110100111 => 111001011000
010001101101 => 101101100010
000101001111 => 111100101000
000101100111 => 111001101000
001001001111 => 111100100100
001010001111 => 111100010100
000111001101 => 101100111000
010010011101 => 101110010010
000011010111 => 111010110000
000011011011 => 110110110000
000011101011 => 110101110000
010011000111 => 111000110010
110001010101 => 101010100011
101100010101 => 101010001101
011100010101 => 101010001110
100111000101 => 101000111001
010111000101 => 101000111010
110101010001 => 100010101011
110100110001 => 100011001011
110010110001 => 100011010011
101010110001 => 100011010101
011011000101 => 101000110110
111001010001 => 100010100111
110011010001 => 100010110011
111001001001 => 100100100111
101100110001 => 100011001101
111000101001 => 100101000111
011001110001 => 100011100110
011101010100 => 001010101110
011101001100 => 001100101110
011100101100 => 001101001110
011010101100 => 001101010110
011110010100 => 001010011110
011100110100 => 001011001110
011110010010 => 010010011110
011011001100 => 001100110110
011110001010 => 010100011110
010110011100 => 001110011010
101001110100 => 001011100101
010011001101 => 101100110010
110001100101 => 101001100011
011001100101 => 101001100110
001111100100 => 001001111100
000111100110 => 011001111000
001111101000 => 000101111100
000111101010 => 010101111000
001011101100 => 001101110100
000111101100 => 001101111000
000111110010 => 010011111000
000010111011 => 110111010000
001000101111 => 111101000100
100101010101 => 101010101001
100101100101 => 101001101001
101011010001 => 100010110101
100110010101 => 101010011001
101001010101 => 101010100101
101011100001 => 100001110101
101010100101 => 101001010101
101101010001 => 100010101101
100110100101 => 101001011001
101010010101 => 101010010101
101101100001 => 100001101101
101001100101 => 101001100101
101110010001 => 100010011101
101110100001 => 100001011101
110101100001 => 100001101011
011001010101 => 101010100110
011010110100 => 001011010110
011010010101 => 101010010110
011010111000 => 000111010110
011010100101 => 101001010110
011101011000 => 000110101110
010100101101 => 101101001010
010010110101 => 101011010010
010101001101 => 101100101010
010100110101 => 101011001010
010011010101 => 101010110010
010101010101 => 101010101010
010110100101 => 101001011010
010110010101 => 101010011010
010101100101 => 101001101010
010001111100 => 001111100010
010011111000 => 000111110010
001001111010 => 010111100100
001001111100 => 001111100100
001011111000 => 000111110100
001000011111 => 111110000100
000110001111 => 111100011000
000100011111 => 111110001000
000100101111 => 111101001000
000001111011 => 110111100000
000011100111 => 111001110000
000001110111 => 111011100000
000010110111 => 111011010000
111100001001 => 100100001111
111010001001 => 100100010111
111000110001 => 100011000111
111100010001 => 100010001111
111010010001 => 100010010111
011110100010 => 010001011110
011110001100 => 001100011110
011110100100 => 001001011110
110010010101 => 101010010011
011100100101 => 101001001110
000101111100 => 001111101000
000011111100 => 001111110000
001011110100 => 001011110100
000101111010 => 010111101000
000111110100 => 001011111000
000111111000 => 000111111000
000010011111 => 111110010000
000001011111 => 111110100000
000100110111 => 111011001000
000011001111 => 111100110000
000010101111 => 111101010000
000001101111 => 111101100000
111100100001 => 100001001111
111101000001 => 100000101111
110110010001 => 100010011011
111001100001 => 100001100111
110110100001 => 100001011011
111010100001 => 100001010111
011110011000 => 000110011110
011110101000 => 000101011110
000011110110 => 011011110000
000001111110 => 011111100000
000011111010 => 010111110000
000000111111 => 111111000000
110111000001 => 100000111011
111110000001 => 100000011111
111011000001 => 100000110111
011110110000 => 000011011110
000011101110 => 011101110000
000101110110 => 011011101000
101111000001 => 100000111101
110011100001 => 100001110011
011100111000 => 000111001110
00111111111 => 11111111100
00000000000 => 00000000000
01111101111 => 11110111110
01111010111 => 11101011110
01111011011 => 11011011110
01110110111 => 11101101110
11101111101 => 10111110111
01111011101 => 10111011110
01110101011 => 11010101110
10111110111 => 11101111101
01101110111 => 11101110110
11101111010 => 01011110111
01111011110 => 01111011110
11010111101 => 10111101011
01110101101 => 10110101110
11011111011 => 11011111011
01110111011 => 11011101110
10111101011 => 11010111101
01101101011 => 11010110110
01011110111 => 11101111010
11010111010 => 01011101011
11011010110 => 01101011011
01110101110 => 01110101110
11011011101 => 10111011011
10110111101 => 10111101101
11011110101 => 10101111011
01110110101 => 10101101110
10111101101 => 10110111101
01101101101 => 10110110110
10101111011 => 11011110101
10111011011 => 11011011101
01101011011 => 11011010110
01011101011 => 11010111010
00000100010 => 01000100000
01000100000 => 00000100010
00000010010 => 01001000000
00100000010 => 01000000100
00000001000 => 00010000000
00010000000 => 00000001000
01001000000 => 00000010010
01010000000 => 00000001010
00001010010 => 01001010000
00000100100 => 00100100000
00100100000 => 00000100100
01001010000 => 00001010010
00011000001 => 10000011000
00110001000 => 00010001100
00101000001 => 10000010100
01001000001 => 10000010010
00111000001 => 10000011100
01110010000 => 00001001110
10001000001 => 10000010001
01011000001 => 10000011010
00110100001 => 10000101100
10001100000 => 00000110001
10110010000 => 00001001101
01100010000 => 00001000110
01101010000 => 00001010110
00100011000 => 00011000100
10011000001 => 10000011001
01010100001 => 10000101010
00101100001 => 10000110100
00110010001 => 10001001100
10010100000 => 00000101001
11000100000 => 00000100011
11010010000 => 00001001011
10100010000 => 00001000101
10101010000 => 00001010101
01000110000 => 00001100010
01010010000 => 00001001010
01011010000 => 00001011010
01100110000 => 00001100110
00000100001 => 10000100000
00001010001 => 10001010000
00001001001 => 10010010000
00001000101 => 10100010000
00010101001 => 10010101000
00001000011 => 11000010000
00010100101 => 10100101000
00010100011 => 11000101000
00010010101 => 10101001000
10010010000 => 00001001001
10010101000 => 00010101001
10100101000 => 00010100101
11000010000 => 00001000011
10101001000 => 00010010101
11000101000 => 00010100011
11110111101 => 10111101111
10111101111 => 11110111101
11111011101 => 10111011111
10111011111 => 11111011101
11111101101 => 10110111111
11101011101 => 10111010111
11011111101 => 10111111011
11111110111 => 11101111111
10111111011 => 11011111101
10111010111 => 11101011101
11101111111 => 11111110111
10110111111 => 11111101101
11111110101 => 10101111111
11101101101 => 10110110111
11101110111 => 11101110111
11111011111 => 11111011111
10110110111 => 11101101101
11101110101 => 10101110111
11110101101 => 10110101111
11011101101 => 10110111011
10111011101 => 10111011101
11110110111 => 11101101111
11011110111 => 11101111011
11111011011 => 11011011111
11101111011 => 11011110111
10110111011 => 11011101101
11011011111 => 11111011011
11101101111 => 11110110111
10110101111 => 11110101101
10101110111 => 11101110101
10101111101 => 10111110101
10101011111 => 11111010101
01101111101 => 10111110110
10001111111 => 11111110001
11101011111 => 11111010111
10011011111 => 11111011001
10111110101 => 10101111101
01110111101 => 10111101110
01111110111 => 11101111110
11111001111 => 11110011111
10011101111 => 11110111001
11100111111 => 11111100111
10010111111 => 11111101001
01111011111 => 11111011110
11111111001 => 10011111111
11111010101 => 10101011111
11111011001 => 10011011111
11111110001 => 10001111111
11111010111 => 11101011111
11111101001 => 10010111111
11110111001 => 10011101111
11111100111 => 11100111111
11110011111 => 11111001111
100001000011 => 110000100001
111000010000 => 000010000111
100011100011 => 110001110001
100010110011 => 110011010001
100110100011 => 110001011001
100010011011 => 110110010001
100111110011 => 110011111001
101100100011 => 110001001101
111000100110 => 011001000111
111001111100 => 001111100111
101010001000 => 000100010101
100010001111 => 111100010001
100111011011 => 110110111001
100101010011 => 110010101001
101101110011 => 110011101101
111000100011 => 110001000111
100111001010 => 010100111001
111001110110 => 011011100111
100100100100 => 001001001001
101010011100 => 001110010101
111011011100 => 001110110111
100111001111 => 111100111001
100101111011 => 110111101001
101101011011 => 110110101101
101111010011 => 110010111101
111001110011 => 110011100111
111001011110 => 011110100111
111011010110 => 011010110111
111011110100 => 001011110111
111110011100 => 001110011111
010001011110 => 011110100010
001001011110 => 011110100100
011000110110 => 011011000110
001101001110 => 011100101100
001011001110 => 011100110100
000101011110 => 011110101000
110010011100 => 001110010011
001100111010 => 010111001100
111000010110 => 011010000111
001001101110 => 011101100100
001101011100 => 001110101100
001110011010 => 010110011100
110100011010 => 010110001011
001101011010 => 010110101100
001110101010 => 010101011100
101100011010 => 010110001101
010100111010 => 010111001010
001111100001 => 100001111100
000111110001 => 100011111000
001110111000 => 000111011100
000111101001 => 100101111000
001011110001 => 100011110100
001110110100 => 001011011100
000111100101 => 101001111000
000011111001 => 100111110000
001101110001 => 100011101100
001110110010 => 010011011100
000110111100 => 001111011000
000111100011 => 110001111000
001011101001 => 100101110100
000101111001 => 100111101000
001110110001 => 100011011100
000110111010 => 010111011000
001010111100 => 001111010100
001001111001 => 100111100100
000110111001 => 100111011000
000110110110 => 011011011000
001010111010 => 010111010100
010010111100 => 001111010010
001100111100 => 001111001100
011110000011 => 110000011110
011100000111 => 111000001110
011010000111 => 111000010110
011100001011 => 110100001110
110100100011 => 110001001011
010110000111 => 111000011010
011000001111 => 111100000110
011100010011 => 110010001110
110000100111 => 111001000011
001110000111 => 111000011100
011010001011 => 110100010110
011000010111 => 111010000110
011100100011 => 110001001110
101100001101 => 101100001101
101000100111 => 111001000101
110010010011 => 110010010011
110000101011 => 110101000011
011000011011 => 110110000110
011000100111 => 111001000110
101010001101 => 101100010101
100110001011 => 110100011001
100100100111 => 111001001001
101010010011 => 110010010101
101000101011 => 110101000101
110000101101 => 101101000011
110000110011 => 110011000011
010011110001 => 100011110010
000111011001 => 100110111000
100110111000 => 000111011001
001110101100 => 001101011100
100011110001 => 100011110001
001111010001 => 100010111100
001110011100 => 001110011100
001111001001 => 100100111100
010000111110 => 011111000010
010100111100 => 001111001010
010001110110 => 011011100010
011000111100 => 001111000110
010010111010 => 010111010010
010001101110 => 011101100010
001010111001 => 100111010100
001010110110 => 011011010100
100000111101 => 101111000001
110000011101 => 101110000011
100010010111 => 111010010001
101000011101 => 101110000101
110010000111 => 111000010011
100100011101 => 101110001001
111000001101 => 101100000111
110000110101 => 101011000011
101010000111 => 111000010101
110010001011 => 110100010011
100010011101 => 101110010001
110100001101 => 101100001011
101000101101 => 101101000101
110000111001 => 100111000011
100110000111 => 111000011001
101010001011 => 110100010101
110010001101 => 101100010011
100100101011 => 110101001001
101000110011 => 110011000101
011000101011 => 110101000110
011000011110 => 011110000110
011000101110 => 011101000110
001110001110 => 011100011100
011001001110 => 011100100110
010110001110 => 011100011010
010011100110 => 011001110010
001110010110 => 011010011100
101000001111 => 111100000101
101000010111 => 111010000101
101000011011 => 110110000101
101001000111 => 111000100101
100001111001 => 100111100001
101001001011 => 110100100101
100010111001 => 100111010001
101001010011 => 110010100101
101001001101 => 101100100101
101000110101 => 101011000101
100110010011 => 110010011001
100110001101 => 101100011001
100101100011 => 110001101001
100100111001 => 100111001001
100011100101 => 101001110001
100011011001 => 100110110001
100011101001 => 100101110001
010010111001 => 100111010010
010011100101 => 101001110010
001101011001 => 100110101100
001110101001 => 100101011100
001110100101 => 101001011100
001110011001 => 100110011100
111000001011 => 110100000111
110100001011 => 110100001011
101100001011 => 110100001101
110001001011 => 110100100011
001111000011 => 110000111100
001110100011 => 110001011100
100101001011 => 110100101001
011001001011 => 110100100110
010110001011 => 110100011010
100100110011 => 110011001001
011000110011 => 110011000110
100011010011 => 110010110001
001110010011 => 110010011100
010011100011 => 110001110010
001101100011 => 110001101100
000110011110 => 011110011000
100110011100 => 001110011001
001010101110 => 011101010100
100110110010 => 010011011001
010010110110 => 011011010010
001110001101 => 101100011100
001011100101 => 101001110100
001100111001 => 100111001100
001011011001 => 100110110100
001100110110 => 011011001100
11100010000 => 00001000111
11100100000 => 00000100111
11101000000 => 00000010111
11111000001 => 10000011111
0010001000 => 0001000100
10100111101 => 10111100101
01110111111 => 11111101110
11111101010 => 01010111111
10101000000 => 00000010101
10110100000 => 00000101101
0001000101 => 1010001000
00000101010 => 01010100000
0000100011 => 1100010000
0001001011 => 1101001000
10100101111 => 11110100101
0000100010 => 0100010000
11111100101 => 10100111111
01011000000 => 00000011010
0101010000 => 0000101010
01011100000 => 00000111010
11011111111 => 11111111011
10010111101 => 10111101001
10111000001 => 10000011101
10111111001 => 10011111101
00000010100 => 00101000000
0000100100 => 0010010000
11111110100 => 00101111111
0010010011 => 1100100100
11001000000 => 00000010011
11101100000 => 00000110111
11011000000 => 00000011011
0001000111 => 1110001000
11010111111 => 11111101011
10010101001 => 10010101001
010010101101 => 101101010010
00001000100101 => 10100100010000
0000100010011 => 1100100010000
000010001001 => 100100010000
0000100010101 => 1010100010000
000010001010 => 010100010000
000010001011 => 110100010000
00001000111 => 11100010000
0000100100101 => 1010010010000
000010010010 => 010010010000
000010010011 => 110010010000
000010010101 => 101010010000
00001001010 => 01010010000
00001001011 => 11010010000
0000100101 => 1010010000
00001010101 => 10101010000
0000101011 => 1101010000
0001000100101 => 1010010001000
000100010010 => 010010001000
000100010011 => 110010001000
0001000100 => 0010001000
000100010101 => 101010001000
00010001011 => 11010001000
000100100101 => 101001001000
00010010011 => 11001001000
0001001001 => 1001001000
0001001010 => 0101001000
0010010010 => 0100100100
0010010101 => 1010100100
0100100010000 => 0000100010010
1100100010000 => 0000100010011
100100010000 => 000010001001
1010100010000 => 0000100010101
010100010000 => 000010001010
110100010000 => 000010001011
0100010000 => 0000100010
1010010010000 => 0000100100101
010010010000 => 000010010010
110010010000 => 000010010011
0010010000 => 0000100100
101010010000 => 000010010101
1010010001000 => 0001000100101
010010001000 => 000100010010
110010001000 => 000100010011
11010001000 => 00010001011
101001001000 => 000100100101
11001001000 => 00010010011
0101001000 => 0001001010
0100100100 => 0010010010
11010100000 => 00000101011
10100100000 => 00000100101
11011011010 => 01011011011
111011101010 => 010101110111
11110101010 => 01010101111
11110110101 => 10101101111
11110111010 => 01011101111
11110111011 => 11011101111
01011011011 => 11011011010
01010101111 => 11110101010
10101101111 => 11110110101
01011101111 => 11110111010
11011101111 => 11110111011
01100100000 => 00000100110
00010100000 => 00000101000
10101000001 => 10000010101
00010101010 => 01010101000
01010110000 => 00001101010
00101010000 => 00001010100
00100110000 => 00001100100
10100100001 => 10000100101
01010101000 => 00010101010
01101101010 => 01010110110
11011101010 => 01010111011
01011011010 => 01011011010
10111011010 => 01011011101
01101011010 => 01011010110
01110111010 => 01011101110
01010110110 => 01101101010
01101110110 => 01101110110
01011010110 => 01101011010
01101010110 => 01101010110
01110110110 => 01101101110
01011101110 => 01110111010
01101101110 => 01110110110
01010101101 => 10110101010
10110101101 => 10110101101
10101101101 => 10110110101
01011011101 => 10111011010
01101011101 => 10111010110
10101011101 => 10111010101
01010110101 => 10101101010
10110110101 => 10101101101
01101110101 => 10101110110
10101110101 => 10101110101
01011010101 => 10101011010
10111010101 => 10101011101
01101010101 => 10101010110
11011010101 => 10101011011
11010110101 => 10101101011
01011101101 => 10110111010
11010101101 => 10110101011
01010111011 => 11011101010
01101111011 => 11011110110
10101011011 => 11011010101
11011011011 => 11011011011
11010111011 => 11011101011
10101101011 => 11010110101
11011101011 => 11010111011
10110101011 => 11010101101
11010101011 => 11010101011
11101101011 => 11010110111
11101011011 => 11011010111
11010110111 => 11101101011
11011010111 => 11101011011
11101010111 => 11101010111
11110101111 => 11110101111
01000001010 => 01010000010
01010000010 => 01000001010
00000101000 => 00010100000
00001010100 => 00101010000
01010100000 => 00000101010
00000010000 => 00001000000
00101000000 => 00000010100
00001000000 => 00000010000
11101000001 => 10000010111
11010100001 => 10000101011
11011000001 => 10000011011
10101100001 => 10000110101
10110100001 => 10000101101
10010100001 => 10000101001
01011100001 => 10000111010
01001100001 => 10000110010
01101100001 => 10000110110
01100100001 => 10000100110
00100110001 => 10001100100
10101100000 => 00000110101
10010110000 => 00001101001
10011010000 => 00001011001
10011100000 => 00000111001
11011100000 => 00000111011
11001010000 => 00001010011
11001100000 => 00000110011
11110100000 => 00000101111
11111000000 => 00000011111
10100110000 => 00001100101
10011000000 => 00000011001
01001110000 => 00001110010
01001100000 => 00000110010
01101100000 => 00000110110
01110100000 => 00000101110
01111000000 => 00000011110
01101000000 => 00000010110
00101100000 => 00000110100
00110010000 => 00001001100
00110100000 => 00000101100
00111000000 => 00000011100
00011000000 => 00000011000
01010101011 => 11010101010
00100101011 => 11010100100
01001001011 => 11010010010
00101001011 => 11010010100
01010010011 => 11001001010
00100010011 => 11001000100
01001010011 => 11001010010
00101010011 => 11001010100
01000100011 => 11000100010
00100100011 => 11000100100
00101010101 => 10101010100
11001001010 => 01010010011
11010010010 => 01001001011
11001010010 => 01001010011
11000100010 => 01000100011
11010100100 => 00100101011
11001000100 => 00100010011
11010010100 => 00101001011
11001010100 => 00101010011
11000100100 => 00100100011
11101010101 => 10101010111
10101010111 => 11101010101
11110101011 => 11010101111
11111101011 => 11010111111
11010101111 => 11110101011
11111101111 => 11110111111
11110111111 => 11111101111
11111111111 => 11111111111
01111010101 => 10101011110
10011110101 => 10101111001
01011110101 => 10101111010
11100111101 => 10111100111
01010111101 => 10111101010
10011110111 => 11101111001
10101001111 => 11110010101
11101001111 => 11110010111
10111001111 => 11110011101
01111001111 => 11110011110
11100101111 => 11110100111
10010101111 => 11110101001
01110101111 => 11110101110
00111101111 => 11110111100
00101111111 => 11111110100
01011011111 => 11111011010
01101011111 => 11111010110
11110010101 => 10101001111
10111100101 => 10100111101
11110100101 => 10100101111
11110011101 => 10111001111
10101111001 => 10011110101
11101111001 => 10011110111
10111101001 => 10010111101
11110101001 => 10010101111
11110010111 => 11101001111
10111100111 => 11100111101
11110100111 => 11100101111
10111101010 => 01010111101
11111011010 => 01011011111
11111010110 => 01101011111
11110111100 => 00111101111
111111111111 => 111111111111
101011111111 => 111111110101
111010111111 => 111111010111
101110111111 => 111111011101
100100111111 => 111111001001
111110101111 => 111101011111
101010101111 => 111101010101
111011101111 => 111101110111
101111101111 => 111101111101
100101101111 => 111101101001
111001001111 => 111100100111
101101001111 => 111100101101
111111101011 => 110101111111
101011101011 => 110101110101
111010101011 => 110101010111
101110101011 => 110101011101
111110111011 => 110111011111
101010111011 => 110111010101
111011111011 => 110111110111
101111111011 => 110111111101
111001011011 => 110110100111
111110010011 => 110010011111
111011010011 => 110010110111
111111111010 => 010111111111
101011111010 => 010111110101
111010111010 => 010111010111
101110111010 => 010111011101
111110101010 => 010101011111
101111101010 => 010101111101
111010101110 => 011101010111
101110101110 => 011101011101
111110010110 => 011010011111
101111010110 => 011010111101
101101110110 => 011011101101
101100100110 => 011001001101
100110100110 => 011001011001
111111100100 => 001001111111
111110110100 => 001011011111
101111110100 => 001011111101
100010010100 => 001010010001
101111011100 => 001110111101
100101011100 => 001110101001
101101111100 => 001111101101
100111111100 => 001111111001
100110101100 => 001101011001
100101001000 => 000100101001
100010101000 => 000101010001
100001011000 => 000110100001
101100010000 => 000010001101
100110010000 => 000010011001
100011010000 => 000010110001
100001110000 => 000011100001
100110110100 => 001011011001
000010111110 => 011111010000
000110101110 => 011101011000
001010011110 => 011110010100
010010011110 => 011110010010
100100111100 => 001111001001
101100011100 => 001110001101
110100011100 => 001110001011
000100111110 => 011111001000
001100101110 => 011101001100
001100011110 => 011110001100
010100011110 => 011110001010
111000011010 => 010110000111
101000111100 => 001111000101
111000011100 => 001110000111
011000111010 => 010111000110
001000111110 => 011111000100
110000110110 => 011011000011
110000111010 => 010111000011
110000111100 => 001111000011
001101101001 => 100101101100
011010010011 => 110010010110
100100101101 => 101101001001
100000111011 => 110111000001
100100011011 => 110110001001
100000110111 => 111011000001
100000101111 => 111101000001
100000011111 => 111110000001
100100010111 => 111010001001
100100001111 => 111100001001
101100010011 => 110010001101
101100000111 => 111000001101
101110000011 => 110000011101
110000011011 => 110110000011
110000010111 => 111010000011
110000001111 => 111100000011
110100010011 => 110010001011
110100000111 => 111000001011
110110000011 => 110000011011
111000010011 => 110010000111
111000000111 => 111000000111
111010000011 => 110000010111
111100000011 => 110000001111
010011101001 => 100101110010
100110010110 => 011010011001
100101100110 => 011001101001
011010001110 => 011100010110
010101001110 => 011100101010
010100110110 => 011011001010
010100101110 => 011101001010
010011010110 => 011010110010
010011001110 => 011100110010
010010101110 => 011101010010
001110100110 => 011001011100
001101010110 => 011010101100
101010100011 => 110001010101
101001100011 => 110001100101
101000111001 => 100111000101
100101001101 => 101100101001
100101000111 => 111000101001
100100110101 => 101011001001
100011010101 => 101010110001
100011001101 => 101100110001
100011001011 => 110100110001
100011000111 => 111000110001
100010110101 => 101011010001
100010101101 => 101101010001
100010101011 => 110101010001
100010100111 => 111001010001
100001110101 => 101011100001
100001110011 => 110011100001
100001101101 => 101101100001
100001101011 => 110101100001
100001100111 => 111001100001
100001011101 => 101110100001
100001011011 => 110110100001
100001010111 => 111010100001
100001001111 => 111100100001
010011011001 => 100110110010
010001111001 => 100111100010
001110010101 => 101010011100
001111000101 => 101000111100
001101100101 => 101001101100
001110001011 => 110100011100
011001010011 => 110010100110
110001010011 => 110010100011
010110010011 => 110010011010
001011100011 => 110001110100
010101100011 => 110001101010
011001100011 => 110001100110
110001100011 => 110001100011
010110100011 => 110001011010
011010100011 => 110001010110
110010100011 => 110001010011
010111000011 => 110000111010
100111000011 => 110000111001
011011000011 => 110000110110
101011000011 => 110000110101
110011000011 => 110000110011
011101000011 => 110000101110
101101000011 => 110000101101
110101000011 => 110000101011
111001000011 => 110000100111
111111010010010010010010 => 010010010010010010111111
111110100100100100110100 => 001011001001001001011111
111110100100100110100010 => 010001011001001001011111
111101001001001110100100 => 001001011100100100101111
111101001001001101101000 => 000101101100100100101111
111110100100110100010010 => 010010001011001001011111
111101001001101000110100 => 001011000101100100101111
111101001001110100100010 => 010001001011100100101111
111010010011110100100100 => 001001001011110010010111
111010010011101001101000 => 000101100101110010010111
111101001001101101000010 => 010000101101100100101111
111010010011101101000100 => 001000101101110010010111
111010010011011101001000 => 000100101110110010010111
111010010011011011010000 => 000010110110110010010111
111110100110100010010010 => 010010010001011001011111
111101001101000100110100 => 001011001000101100101111
111101001101000110100010 => 010001011000101100101111
111010011010001110100100 => 001001011100010110010111
111010011010001101101000 => 000101101100010110010111
111101001110100100010010 => 010010001001011100101111
111010011101001000110100 => 001011000100101110010111
111010011110100100100010 => 010001001001011110010111
110100111110100100100100 => 001001001001011111001011
110100111101001001101000 => 000101100100101111001011
111010011101001101000010 => 010000101100101110010111
110100111101001101000100 => 001000101100101111001011
110100111010011101001000 => 000100101110010111001011
110100111010011011010000 => 000010110110010111001011
111101001101101000010010 => 010010000101101100101111
111010011011010000110100 => 001011000010110110010111
111010011101101000100010 => 010001000101101110010111
110100111101101000100100 => 001001000101101111001011
110100111011010001101000 => 000101100010110111001011
111010011011101001000010 => 010000100101110110010111
110100111011101001000100 => 001000100101110111001011
110100110111101001001000 => 000100100101111011001011
110100110111010011010000 => 000010110010111011001011
111010011011011010000010 => 010000010110110110010111
110100111011011010000100 => 001000010110110111001011
110100110111011010001000 => 000100010110111011001011
110100110110111010010000 => 000010010111011011001011
110100110110110110100000 => 000001011011011011001011
111110110100010010010010 => 010010010010001011011111
111101101000100100110100 => 001011001001000101101111
111101101000100110100010 => 010001011001000101101111
111011010001001110100100 => 001001011100100010110111
111011010001001101101000 => 000101101100100010110111
111101101000110100010010 => 010010001011000101101111
111011010001101000110100 => 001011000101100010110111
111011010001110100100010 => 010001001011100010110111
110110100011110100100100 => 001001001011110001011011
110110100011101001101000 => 000101100101110001011011
111011010001101101000010 => 010000101101100010110111
110110100011101101000100 => 001000101101110001011011
110110100011011101001000 => 000100101110110001011011
110110100011011011010000 => 000010110110110001011011
111101110100100010010010 => 010010010001001011101111
111011101001000100110100 => 001011001000100101110111
111011101001000110100010 => 010001011000100101110111
110111010010001110100100 => 001001011100010010111011
110111010010001101101000 => 000101101100010010111011
111011110100100100010010 => 010010001001001011110111
110111101001001000110100 => 001011000100100101111011
110111110100100100100010 => 010001001001001011111011
101111110100100100100100 => 001001001001001011111101
101111101001001001101000 => 000101100100100101111101
110111101001001101000010 => 010000101100100101111011
101111101001001101000100 => 001000101100100101111101
101111010010011101001000 => 000100101110010010111101
101111010010011011010000 => 000010110110010010111101
111011101001101000010010 => 010010000101100101110111
110111010011010000110100 => 001011000010110010111011
110111101001101000100010 => 010001000101100101111011
101111101001101000100100 => 001001000101100101111101
101111010011010001101000 => 000101100010110010111101
110111010011101001000010 => 010000100101110010111011
101111010011101001000100 => 001000100101110010111101
101110100111101001001000 => 000100100101111001011101
101110100111010011010000 => 000010110010111001011101
110111010011011010000010 => 010000010110110010111011
101111010011011010000100 => 001000010110110010111101
101110100111011010001000 => 000100010110111001011101
101110100110111010010000 => 000010010111011001011101
101110100110110110100000 => 000001011011011001011101
111101101101000010010010 => 010010010000101101101111
111011011010000100110100 => 001011001000010110110111
111011011010000110100010 => 010001011000010110110111
110110110100001110100100 => 001001011100001011011011
110110110100001101101000 => 000101101100001011011011
111011101101000100010010 => 010010001000101101110111
110111011010001000110100 => 001011000100010110111011
110111101101000100100010 => 010001001000101101111011
101111101101000100100100 => 001001001000101101111101
101111011010001001101000 => 000101100100010110111101
110111011010001101000010 => 010000101100010110111011
101111011010001101000100 => 001000101100010110111101
101110110100011101001000 => 000100101110001011011101
101110110100011011010000 => 000010110110001011011101
111011011101001000010010 => 010010000100101110110111
110110111010010000110100 => 001011000010010111011011
110111011101001000100010 => 010001000100101110111011
101111011101001000100100 => 001001000100101110111101
101110111010010001101000 => 000101100010010111011101
110110111101001001000010 => 010000100100101111011011
101110111101001001000100 => 001000100100101111011101
101101111101001001001000 => 000100100100101111101101
101101111010010011010000 => 000010110010010111101101
110110111010011010000010 => 010000010110010111011011
101110111010011010000100 => 001000010110010111011101
101101111010011010001000 => 000100010110010111101101
101101110100111010010000 => 000010010111001011101101
101101110100110110100000 => 000001011011001011101101
111011011011010000010010 => 010010000010110110110111
110110110110100000110100 => 001011000001011011011011
110111011011010000100010 => 010001000010110110111011
101111011011010000100100 => 001001000010110110111101
101110110110100001101000 => 000101100001011011011101
110110111011010001000010 => 010000100010110111011011
101110111011010001000100 => 001000100010110111011101
101101111011010001001000 => 000100100010110111101101
101101110110100011010000 => 000010110001011011101101
110110110111010010000010 => 010000010010111011011011
101110110111010010000100 => 001000010010111011011101
101101110111010010001000 => 000100010010111011101101
101101101111010010010000 => 000010010010111101101101
101101101110100110100000 => 000001011001011101101101
110110110110110100000010 => 010000001011011011011011
101110110110110100000100 => 001000001011011011011101
101101110110110100001000 => 000100001011011011101101
101101101110110100010000 => 000010001011011101101101
101101101101110100100000 => 000001001011101101101101
101101101101101101000000 => 000000101101101101101101
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Description
Return the reversal of a binary word.
Properties
bijective, graded, involutive
Sage code
def mapping(X):
    return X.reversal()

Created
Jan 29, 2020 at 13:26 by FindStatCrew
Updated
Jan 29, 2020 at 13:26 by Martin Rubey