Identifier
Identifier
Mp00135: Binary words —rotate front-to-back⟶ Binary words
Images
0 => 0
1 => 1
00 => 00
01 => 10
10 => 01
11 => 11
000 => 000
001 => 010
010 => 100
011 => 110
100 => 001
101 => 011
110 => 101
111 => 111
0000 => 0000
0001 => 0010
0010 => 0100
0011 => 0110
0100 => 1000
0101 => 1010
0110 => 1100
0111 => 1110
1000 => 0001
1001 => 0011
1010 => 0101
1011 => 0111
1100 => 1001
1101 => 1011
1110 => 1101
1111 => 1111
00000 => 00000
00001 => 00010
00010 => 00100
00011 => 00110
00100 => 01000
00101 => 01010
00110 => 01100
00111 => 01110
01000 => 10000
01001 => 10010
01010 => 10100
01011 => 10110
01100 => 11000
01101 => 11010
01110 => 11100
01111 => 11110
10000 => 00001
10001 => 00011
10010 => 00101
10011 => 00111
10100 => 01001
10101 => 01011
10110 => 01101
10111 => 01111
11000 => 10001
11001 => 10011
11010 => 10101
11011 => 10111
11100 => 11001
11101 => 11011
11110 => 11101
11111 => 11111
000000 => 000000
000001 => 000010
000010 => 000100
000011 => 000110
000100 => 001000
000101 => 001010
000110 => 001100
000111 => 001110
001000 => 010000
001001 => 010010
001010 => 010100
001011 => 010110
001100 => 011000
001101 => 011010
001110 => 011100
001111 => 011110
010000 => 100000
010001 => 100010
010010 => 100100
010011 => 100110
010100 => 101000
010101 => 101010
010110 => 101100
010111 => 101110
011000 => 110000
011001 => 110010
011010 => 110100
011011 => 110110
011100 => 111000
011101 => 111010
011110 => 111100
011111 => 111110
100000 => 000001
100001 => 000011
100010 => 000101
100011 => 000111
100100 => 001001
100101 => 001011
100110 => 001101
100111 => 001111
101000 => 010001
101001 => 010011
101010 => 010101
101011 => 010111
101100 => 011001
101101 => 011011
101110 => 011101
101111 => 011111
110000 => 100001
110001 => 100011
110010 => 100101
110011 => 100111
110100 => 101001
110101 => 101011
110110 => 101101
110111 => 101111
111000 => 110001
111001 => 110011
111010 => 110101
111011 => 110111
111100 => 111001
111101 => 111011
111110 => 111101
111111 => 111111
0000000 => 0000000
0000001 => 0000010
0000010 => 0000100
0000011 => 0000110
0000100 => 0001000
0000101 => 0001010
0000110 => 0001100
0000111 => 0001110
0001000 => 0010000
0001001 => 0010010
0001010 => 0010100
0001011 => 0010110
0001100 => 0011000
0001101 => 0011010
0001110 => 0011100
0001111 => 0011110
0010000 => 0100000
0010001 => 0100010
0010010 => 0100100
0010011 => 0100110
0010100 => 0101000
0010101 => 0101010
0010110 => 0101100
0010111 => 0101110
0011000 => 0110000
0011001 => 0110010
0011010 => 0110100
0011011 => 0110110
0011100 => 0111000
0011101 => 0111010
0011110 => 0111100
0011111 => 0111110
0100000 => 1000000
0100001 => 1000010
0100010 => 1000100
0100011 => 1000110
0100100 => 1001000
0100101 => 1001010
0100110 => 1001100
0100111 => 1001110
0101000 => 1010000
0101001 => 1010010
0101010 => 1010100
0101011 => 1010110
0101100 => 1011000
0101101 => 1011010
0101110 => 1011100
0101111 => 1011110
0110000 => 1100000
0110001 => 1100010
0110010 => 1100100
0110011 => 1100110
0110100 => 1101000
0110101 => 1101010
0110110 => 1101100
0110111 => 1101110
0111000 => 1110000
0111001 => 1110010
0111010 => 1110100
0111011 => 1110110
0111100 => 1111000
0111101 => 1111010
0111110 => 1111100
0111111 => 1111110
1000000 => 0000001
1000001 => 0000011
1000010 => 0000101
1000011 => 0000111
1000100 => 0001001
1000101 => 0001011
1000110 => 0001101
1000111 => 0001111
1001000 => 0010001
1001001 => 0010011
1001010 => 0010101
1001011 => 0010111
1001100 => 0011001
1001101 => 0011011
1001110 => 0011101
1001111 => 0011111
1010000 => 0100001
1010001 => 0100011
1010010 => 0100101
1010011 => 0100111
1010100 => 0101001
1010101 => 0101011
1010110 => 0101101
1010111 => 0101111
1011000 => 0110001
1011001 => 0110011
1011010 => 0110101
1011011 => 0110111
1011100 => 0111001
1011101 => 0111011
1011110 => 0111101
1011111 => 0111111
1100000 => 1000001
1100001 => 1000011
1100010 => 1000101
1100011 => 1000111
1100100 => 1001001
1100101 => 1001011
1100110 => 1001101
1100111 => 1001111
1101000 => 1010001
1101001 => 1010011
1101010 => 1010101
1101011 => 1010111
1101100 => 1011001
1101101 => 1011011
1101110 => 1011101
1101111 => 1011111
1110000 => 1100001
1110001 => 1100011
1110010 => 1100101
1110011 => 1100111
1110100 => 1101001
1110101 => 1101011
1110110 => 1101101
1110111 => 1101111
1111000 => 1110001
1111001 => 1110011
1111010 => 1110101
1111011 => 1110111
1111100 => 1111001
1111101 => 1111011
1111110 => 1111101
1111111 => 1111111
00000000 => 00000000
00000001 => 00000010
00000010 => 00000100
00000011 => 00000110
00000100 => 00001000
00000101 => 00001010
00000110 => 00001100
00000111 => 00001110
00001000 => 00010000
00001001 => 00010010
00001010 => 00010100
00001011 => 00010110
00001100 => 00011000
00001101 => 00011010
00001110 => 00011100
00001111 => 00011110
00010000 => 00100000
00010001 => 00100010
00010010 => 00100100
00010011 => 00100110
00010100 => 00101000
00010101 => 00101010
00010110 => 00101100
00010111 => 00101110
00011000 => 00110000
00011001 => 00110010
00011010 => 00110100
00011011 => 00110110
00011100 => 00111000
00011101 => 00111010
00011110 => 00111100
00011111 => 00111110
00100000 => 01000000
00100001 => 01000010
00100010 => 01000100
00100011 => 01000110
00100100 => 01001000
00100101 => 01001010
00100110 => 01001100
00100111 => 01001110
00101000 => 01010000
00101001 => 01010010
00101010 => 01010100
00101011 => 01010110
00101100 => 01011000
00101101 => 01011010
00101110 => 01011100
00101111 => 01011110
00110000 => 01100000
00110001 => 01100010
00110010 => 01100100
00110011 => 01100110
00110100 => 01101000
00110101 => 01101010
00110110 => 01101100
00110111 => 01101110
00111000 => 01110000
00111001 => 01110010
00111010 => 01110100
00111011 => 01110110
00111100 => 01111000
00111101 => 01111010
00111110 => 01111100
00111111 => 01111110
01000000 => 10000000
01000001 => 10000010
01000010 => 10000100
01000011 => 10000110
01000100 => 10001000
01000101 => 10001010
01000110 => 10001100
01000111 => 10001110
01001000 => 10010000
01001001 => 10010010
01001010 => 10010100
01001011 => 10010110
01001100 => 10011000
01001101 => 10011010
01001110 => 10011100
01001111 => 10011110
01010000 => 10100000
01010001 => 10100010
01010010 => 10100100
01010011 => 10100110
01010100 => 10101000
01010101 => 10101010
01010110 => 10101100
01010111 => 10101110
01011000 => 10110000
01011001 => 10110010
01011010 => 10110100
01011011 => 10110110
01011100 => 10111000
01011101 => 10111010
01011110 => 10111100
01011111 => 10111110
01100000 => 11000000
01100001 => 11000010
01100010 => 11000100
01100011 => 11000110
01100100 => 11001000
01100101 => 11001010
01100110 => 11001100
01100111 => 11001110
01101000 => 11010000
01101001 => 11010010
01101010 => 11010100
01101011 => 11010110
01101100 => 11011000
01101101 => 11011010
01101110 => 11011100
01101111 => 11011110
01110000 => 11100000
01110001 => 11100010
01110010 => 11100100
01110011 => 11100110
01110100 => 11101000
01110101 => 11101010
01110110 => 11101100
01110111 => 11101110
01111000 => 11110000
01111001 => 11110010
01111010 => 11110100
01111011 => 11110110
01111100 => 11111000
01111101 => 11111010
01111110 => 11111100
01111111 => 11111110
10000000 => 00000001
10000001 => 00000011
10000010 => 00000101
10000011 => 00000111
10000100 => 00001001
10000101 => 00001011
10000110 => 00001101
10000111 => 00001111
10001000 => 00010001
10001001 => 00010011
10001010 => 00010101
10001011 => 00010111
10001100 => 00011001
10001101 => 00011011
10001110 => 00011101
10001111 => 00011111
10010000 => 00100001
10010001 => 00100011
10010010 => 00100101
10010011 => 00100111
10010100 => 00101001
10010101 => 00101011
10010110 => 00101101
10010111 => 00101111
10011000 => 00110001
10011001 => 00110011
10011010 => 00110101
10011011 => 00110111
10011100 => 00111001
10011101 => 00111011
10011110 => 00111101
10011111 => 00111111
10100000 => 01000001
10100001 => 01000011
10100010 => 01000101
10100011 => 01000111
10100100 => 01001001
10100101 => 01001011
10100110 => 01001101
10100111 => 01001111
10101000 => 01010001
10101001 => 01010011
10101010 => 01010101
10101011 => 01010111
10101100 => 01011001
10101101 => 01011011
10101110 => 01011101
10101111 => 01011111
10110000 => 01100001
10110001 => 01100011
10110010 => 01100101
10110011 => 01100111
10110100 => 01101001
10110101 => 01101011
10110110 => 01101101
10110111 => 01101111
10111000 => 01110001
10111001 => 01110011
10111010 => 01110101
10111011 => 01110111
10111100 => 01111001
10111101 => 01111011
10111110 => 01111101
10111111 => 01111111
11000000 => 10000001
11000001 => 10000011
11000010 => 10000101
11000011 => 10000111
11000100 => 10001001
11000101 => 10001011
11000110 => 10001101
11000111 => 10001111
11001000 => 10010001
11001001 => 10010011
11001010 => 10010101
11001011 => 10010111
11001100 => 10011001
11001101 => 10011011
11001110 => 10011101
11001111 => 10011111
11010000 => 10100001
11010001 => 10100011
11010010 => 10100101
11010011 => 10100111
11010100 => 10101001
11010101 => 10101011
11010110 => 10101101
11010111 => 10101111
11011000 => 10110001
11011001 => 10110011
11011010 => 10110101
11011011 => 10110111
11011100 => 10111001
11011101 => 10111011
11011110 => 10111101
11011111 => 10111111
11100000 => 11000001
11100001 => 11000011
11100010 => 11000101
11100011 => 11000111
11100100 => 11001001
11100101 => 11001011
11100110 => 11001101
11100111 => 11001111
11101000 => 11010001
11101001 => 11010011
11101010 => 11010101
11101011 => 11010111
11101100 => 11011001
11101101 => 11011011
11101110 => 11011101
11101111 => 11011111
11110000 => 11100001
11110001 => 11100011
11110010 => 11100101
11110011 => 11100111
11110100 => 11101001
11110101 => 11101011
11110110 => 11101101
11110111 => 11101111
11111000 => 11110001
11111001 => 11110011
11111010 => 11110101
11111011 => 11110111
11111100 => 11111001
11111101 => 11111011
11111110 => 11111101
11111111 => 11111111
000000000 => 000000000
000000001 => 000000010
000000010 => 000000100
000000011 => 000000110
000000100 => 000001000
000000101 => 000001010
000000110 => 000001100
000000111 => 000001110
000001000 => 000010000
000001001 => 000010010
000001010 => 000010100
000001011 => 000010110
000001100 => 000011000
000001101 => 000011010
000001110 => 000011100
000001111 => 000011110
000010000 => 000100000
000010001 => 000100010
000010010 => 000100100
000010011 => 000100110
000010100 => 000101000
000010101 => 000101010
000010110 => 000101100
000010111 => 000101110
000011000 => 000110000
000011001 => 000110010
000011010 => 000110100
000011011 => 000110110
000011100 => 000111000
000011101 => 000111010
000011110 => 000111100
000011111 => 000111110
000100000 => 001000000
000100001 => 001000010
000100010 => 001000100
000100011 => 001000110
000100100 => 001001000
000100101 => 001001010
000100110 => 001001100
000100111 => 001001110
000101000 => 001010000
000101001 => 001010010
000101010 => 001010100
000101011 => 001010110
000101100 => 001011000
000101101 => 001011010
000101110 => 001011100
000101111 => 001011110
000110000 => 001100000
000110001 => 001100010
000110010 => 001100100
000110011 => 001100110
000110100 => 001101000
000110101 => 001101010
000110110 => 001101100
000110111 => 001101110
000111000 => 001110000
000111001 => 001110010
000111010 => 001110100
000111011 => 001110110
000111100 => 001111000
000111101 => 001111010
000111110 => 001111100
000111111 => 001111110
001000000 => 010000000
001000001 => 010000010
001000010 => 010000100
001000011 => 010000110
001000100 => 010001000
001000101 => 010001010
001000110 => 010001100
001000111 => 010001110
001001000 => 010010000
001001001 => 010010010
001001010 => 010010100
001001011 => 010010110
001001100 => 010011000
001001101 => 010011010
001001110 => 010011100
001001111 => 010011110
001010000 => 010100000
001010001 => 010100010
001010010 => 010100100
001010011 => 010100110
001010100 => 010101000
001010101 => 010101010
001010110 => 010101100
001010111 => 010101110
001011000 => 010110000
001011001 => 010110010
001011010 => 010110100
001011011 => 010110110
001011100 => 010111000
001011101 => 010111010
001011110 => 010111100
001011111 => 010111110
001100000 => 011000000
001100001 => 011000010
001100010 => 011000100
001100011 => 011000110
001100100 => 011001000
001100101 => 011001010
001100110 => 011001100
001100111 => 011001110
001101000 => 011010000
001101001 => 011010010
001101010 => 011010100
001101011 => 011010110
001101100 => 011011000
001101101 => 011011010
001101110 => 011011100
001101111 => 011011110
001110000 => 011100000
001110001 => 011100010
001110010 => 011100100
001110011 => 011100110
001110100 => 011101000
001110101 => 011101010
001110110 => 011101100
001110111 => 011101110
001111000 => 011110000
001111001 => 011110010
001111010 => 011110100
001111011 => 011110110
001111100 => 011111000
001111101 => 011111010
001111110 => 011111100
001111111 => 011111110
010000000 => 100000000
010000001 => 100000010
010000010 => 100000100
010000011 => 100000110
010000100 => 100001000
010000101 => 100001010
010000110 => 100001100
010000111 => 100001110
010001000 => 100010000
010001001 => 100010010
010001010 => 100010100
010001011 => 100010110
010001100 => 100011000
010001101 => 100011010
010001110 => 100011100
010001111 => 100011110
010010000 => 100100000
010010001 => 100100010
010010010 => 100100100
010010011 => 100100110
010010100 => 100101000
010010101 => 100101010
010010110 => 100101100
010010111 => 100101110
010011000 => 100110000
010011001 => 100110010
010011010 => 100110100
010011011 => 100110110
010011100 => 100111000
010011101 => 100111010
010011110 => 100111100
010011111 => 100111110
010100000 => 101000000
010100001 => 101000010
010100010 => 101000100
010100011 => 101000110
010100100 => 101001000
010100101 => 101001010
010100110 => 101001100
010100111 => 101001110
010101000 => 101010000
010101001 => 101010010
010101010 => 101010100
010101011 => 101010110
010101100 => 101011000
010101101 => 101011010
010101110 => 101011100
010101111 => 101011110
010110000 => 101100000
010110001 => 101100010
010110010 => 101100100
010110011 => 101100110
010110100 => 101101000
010110101 => 101101010
010110110 => 101101100
010110111 => 101101110
010111000 => 101110000
010111001 => 101110010
010111010 => 101110100
010111011 => 101110110
010111100 => 101111000
010111101 => 101111010
010111110 => 101111100
010111111 => 101111110
011000000 => 110000000
011000001 => 110000010
011000010 => 110000100
011000011 => 110000110
011000100 => 110001000
011000101 => 110001010
011000110 => 110001100
011000111 => 110001110
011001000 => 110010000
011001001 => 110010010
011001010 => 110010100
011001011 => 110010110
011001100 => 110011000
011001101 => 110011010
011001110 => 110011100
011001111 => 110011110
011010000 => 110100000
011010001 => 110100010
011010010 => 110100100
011010011 => 110100110
011010100 => 110101000
011010101 => 110101010
011010110 => 110101100
011010111 => 110101110
011011000 => 110110000
011011001 => 110110010
011011010 => 110110100
011011011 => 110110110
011011100 => 110111000
011011101 => 110111010
011011110 => 110111100
011011111 => 110111110
011100000 => 111000000
011100001 => 111000010
011100010 => 111000100
011100011 => 111000110
011100100 => 111001000
011100101 => 111001010
011100110 => 111001100
011100111 => 111001110
011101000 => 111010000
011101001 => 111010010
011101010 => 111010100
011101011 => 111010110
011101100 => 111011000
011101101 => 111011010
011101110 => 111011100
011101111 => 111011110
011110000 => 111100000
011110001 => 111100010
011110010 => 111100100
011110011 => 111100110
011110100 => 111101000
011110101 => 111101010
011110110 => 111101100
011110111 => 111101110
011111000 => 111110000
011111001 => 111110010
011111010 => 111110100
011111011 => 111110110
011111100 => 111111000
011111101 => 111111010
011111110 => 111111100
011111111 => 111111110
100000000 => 000000001
100000001 => 000000011
100000010 => 000000101
100000011 => 000000111
100000100 => 000001001
100000101 => 000001011
100000110 => 000001101
100000111 => 000001111
100001000 => 000010001
100001001 => 000010011
100001010 => 000010101
100001011 => 000010111
100001100 => 000011001
100001101 => 000011011
100001110 => 000011101
100001111 => 000011111
100010000 => 000100001
100010001 => 000100011
100010010 => 000100101
100010011 => 000100111
100010100 => 000101001
100010101 => 000101011
100010110 => 000101101
100010111 => 000101111
100011000 => 000110001
100011001 => 000110011
100011010 => 000110101
100011011 => 000110111
100011100 => 000111001
100011101 => 000111011
100011110 => 000111101
100011111 => 000111111
100100000 => 001000001
100100001 => 001000011
100100010 => 001000101
100100011 => 001000111
100100100 => 001001001
100100101 => 001001011
100100110 => 001001101
100100111 => 001001111
100101000 => 001010001
100101001 => 001010011
100101010 => 001010101
100101011 => 001010111
100101100 => 001011001
100101101 => 001011011
100101110 => 001011101
100101111 => 001011111
100110000 => 001100001
100110001 => 001100011
100110010 => 001100101
100110011 => 001100111
100110100 => 001101001
100110101 => 001101011
100110110 => 001101101
100110111 => 001101111
100111000 => 001110001
100111001 => 001110011
100111010 => 001110101
100111011 => 001110111
100111100 => 001111001
100111101 => 001111011
100111110 => 001111101
100111111 => 001111111
101000000 => 010000001
101000001 => 010000011
101000010 => 010000101
101000011 => 010000111
101000100 => 010001001
101000101 => 010001011
101000110 => 010001101
101000111 => 010001111
101001000 => 010010001
101001001 => 010010011
101001010 => 010010101
101001011 => 010010111
101001100 => 010011001
101001101 => 010011011
101001110 => 010011101
101001111 => 010011111
101010000 => 010100001
101010001 => 010100011
101010010 => 010100101
101010011 => 010100111
101010100 => 010101001
101010101 => 010101011
101010110 => 010101101
101010111 => 010101111
101011000 => 010110001
101011001 => 010110011
101011010 => 010110101
101011011 => 010110111
101011100 => 010111001
101011101 => 010111011
101011110 => 010111101
101011111 => 010111111
101100000 => 011000001
101100001 => 011000011
101100010 => 011000101
101100011 => 011000111
101100100 => 011001001
101100101 => 011001011
101100110 => 011001101
101100111 => 011001111
101101000 => 011010001
101101001 => 011010011
101101010 => 011010101
101101011 => 011010111
101101100 => 011011001
101101101 => 011011011
101101110 => 011011101
101101111 => 011011111
101110000 => 011100001
101110001 => 011100011
101110010 => 011100101
101110011 => 011100111
101110100 => 011101001
101110101 => 011101011
101110110 => 011101101
101110111 => 011101111
101111000 => 011110001
101111001 => 011110011
101111010 => 011110101
101111011 => 011110111
101111100 => 011111001
101111101 => 011111011
101111110 => 011111101
101111111 => 011111111
110000000 => 100000001
110000001 => 100000011
110000010 => 100000101
110000011 => 100000111
110000100 => 100001001
110000101 => 100001011
110000110 => 100001101
110000111 => 100001111
110001000 => 100010001
110001001 => 100010011
110001010 => 100010101
110001011 => 100010111
110001100 => 100011001
110001101 => 100011011
110001110 => 100011101
110001111 => 100011111
110010000 => 100100001
110010001 => 100100011
110010010 => 100100101
110010011 => 100100111
110010100 => 100101001
110010101 => 100101011
110010110 => 100101101
110010111 => 100101111
110011000 => 100110001
110011001 => 100110011
110011010 => 100110101
110011011 => 100110111
110011100 => 100111001
110011101 => 100111011
110011110 => 100111101
110011111 => 100111111
110100000 => 101000001
110100001 => 101000011
110100010 => 101000101
110100011 => 101000111
110100100 => 101001001
110100101 => 101001011
110100110 => 101001101
110100111 => 101001111
110101000 => 101010001
110101001 => 101010011
110101010 => 101010101
110101011 => 101010111
110101100 => 101011001
110101101 => 101011011
110101110 => 101011101
110101111 => 101011111
110110000 => 101100001
110110001 => 101100011
110110010 => 101100101
110110011 => 101100111
110110100 => 101101001
110110101 => 101101011
110110110 => 101101101
110110111 => 101101111
110111000 => 101110001
110111001 => 101110011
110111010 => 101110101
110111011 => 101110111
110111100 => 101111001
110111101 => 101111011
110111110 => 101111101
110111111 => 101111111
111000000 => 110000001
111000001 => 110000011
111000010 => 110000101
111000011 => 110000111
111000100 => 110001001
111000101 => 110001011
111000110 => 110001101
111000111 => 110001111
111001000 => 110010001
111001001 => 110010011
111001010 => 110010101
111001011 => 110010111
111001100 => 110011001
111001101 => 110011011
111001110 => 110011101
111001111 => 110011111
111010000 => 110100001
111010001 => 110100011
111010010 => 110100101
111010011 => 110100111
111010100 => 110101001
111010101 => 110101011
111010110 => 110101101
111010111 => 110101111
111011000 => 110110001
111011001 => 110110011
111011010 => 110110101
111011011 => 110110111
111011100 => 110111001
111011101 => 110111011
111011110 => 110111101
111011111 => 110111111
111100000 => 111000001
111100001 => 111000011
111100010 => 111000101
111100011 => 111000111
111100100 => 111001001
111100101 => 111001011
111100110 => 111001101
111100111 => 111001111
111101000 => 111010001
111101001 => 111010011
111101010 => 111010101
111101011 => 111010111
111101100 => 111011001
111101101 => 111011011
111101110 => 111011101
111101111 => 111011111
111110000 => 111100001
111110001 => 111100011
111110010 => 111100101
111110011 => 111100111
111110100 => 111101001
111110101 => 111101011
111110110 => 111101101
111110111 => 111101111
111111000 => 111110001
111111001 => 111110011
111111010 => 111110101
111111011 => 111110111
111111100 => 111111001
111111101 => 111111011
111111110 => 111111101
111111111 => 111111111
1010101010 => 0101010101
1010101100 => 0101011001
1010110010 => 0101100101
1010110100 => 0101101001
1010111000 => 0101110001
1011001010 => 0110010101
1011001100 => 0110011001
1011010010 => 0110100101
1011010100 => 0110101001
1011011000 => 0110110001
1011100010 => 0111000101
1011100100 => 0111001001
1011101000 => 0111010001
1011110000 => 0111100001
1100101010 => 1001010101
1100101100 => 1001011001
1100110010 => 1001100101
1100110100 => 1001101001
1100111000 => 1001110001
1101001010 => 1010010101
1101001100 => 1010011001
1101010010 => 1010100101
1101010100 => 1010101001
1101011000 => 1010110001
1101100010 => 1011000101
1101100100 => 1011001001
1101101000 => 1011010001
1101110000 => 1011100001
1110001010 => 1100010101
1110001100 => 1100011001
1110010010 => 1100100101
1110010100 => 1100101001
1110011000 => 1100110001
1110100010 => 1101000101
1110100100 => 1101001001
1110101000 => 1101010001
1110110000 => 1101100001
1111000010 => 1110000101
1111000100 => 1110001001
1111001000 => 1110010001
1111010000 => 1110100001
1111100000 => 1111000001
101010101010 => 010101010101
101010101100 => 010101011001
101010110010 => 010101100101
101010110100 => 010101101001
101010111000 => 010101110001
101011001010 => 010110010101
101011001100 => 010110011001
101011010010 => 010110100101
101011010100 => 010110101001
101011011000 => 010110110001
101011100010 => 010111000101
101011100100 => 010111001001
101011101000 => 010111010001
101011110000 => 010111100001
101100101010 => 011001010101
101100101100 => 011001011001
101100110010 => 011001100101
101100110100 => 011001101001
101100111000 => 011001110001
101101001010 => 011010010101
101101001100 => 011010011001
101101010010 => 011010100101
101101010100 => 011010101001
101101011000 => 011010110001
101101100010 => 011011000101
101101100100 => 011011001001
101101101000 => 011011010001
101101110000 => 011011100001
101110001010 => 011100010101
101110001100 => 011100011001
101110010010 => 011100100101
101110010100 => 011100101001
101110011000 => 011100110001
101110100010 => 011101000101
101110100100 => 011101001001
101110101000 => 011101010001
101110110000 => 011101100001
101111000010 => 011110000101
101111000100 => 011110001001
101111001000 => 011110010001
101111010000 => 011110100001
101111100000 => 011111000001
110010101010 => 100101010101
110010101100 => 100101011001
110010110010 => 100101100101
110010110100 => 100101101001
110010111000 => 100101110001
110011001010 => 100110010101
110011001100 => 100110011001
110011010010 => 100110100101
110011010100 => 100110101001
110011011000 => 100110110001
110011100010 => 100111000101
110011100100 => 100111001001
110011101000 => 100111010001
110011110000 => 100111100001
110100101010 => 101001010101
110100101100 => 101001011001
110100110010 => 101001100101
110100110100 => 101001101001
110100111000 => 101001110001
110101001010 => 101010010101
110101001100 => 101010011001
110101010010 => 101010100101
110101010100 => 101010101001
110101011000 => 101010110001
110101100010 => 101011000101
110101100100 => 101011001001
110101101000 => 101011010001
110101110000 => 101011100001
110110001010 => 101100010101
110110001100 => 101100011001
110110010010 => 101100100101
110110010100 => 101100101001
110110011000 => 101100110001
110110100010 => 101101000101
110110100100 => 101101001001
110110101000 => 101101010001
110110110000 => 101101100001
110111000010 => 101110000101
110111000100 => 101110001001
110111001000 => 101110010001
110111010000 => 101110100001
110111100000 => 101111000001
111000101010 => 110001010101
111000101100 => 110001011001
111000110010 => 110001100101
111000110100 => 110001101001
111000111000 => 110001110001
111001001010 => 110010010101
111001001100 => 110010011001
111001010010 => 110010100101
111001010100 => 110010101001
111001011000 => 110010110001
111001100010 => 110011000101
111001100100 => 110011001001
111001101000 => 110011010001
111001110000 => 110011100001
111010001010 => 110100010101
111010001100 => 110100011001
111010010010 => 110100100101
111010010100 => 110100101001
111010011000 => 110100110001
111010100010 => 110101000101
111010100100 => 110101001001
111010101000 => 110101010001
111010110000 => 110101100001
111011000010 => 110110000101
111011000100 => 110110001001
111011001000 => 110110010001
111011010000 => 110110100001
111011100000 => 110111000001
111100001010 => 111000010101
111100001100 => 111000011001
111100010010 => 111000100101
111100010100 => 111000101001
111100011000 => 111000110001
111100100010 => 111001000101
111100100100 => 111001001001
111100101000 => 111001010001
111100110000 => 111001100001
111101000010 => 111010000101
111101000100 => 111010001001
111101001000 => 111010010001
111101010000 => 111010100001
111101100000 => 111011000001
111110000010 => 111100000101
111110000100 => 111100001001
111110001000 => 111100010001
111110010000 => 111100100001
111110100000 => 111101000001
111111000000 => 111110000001
10101010101100 => 01010101011001
10101010110010 => 01010101100101
10101010110100 => 01010101101001
10101011001100 => 01010110011001
10101011010010 => 01010110100101
10101011010100 => 01010110101001
10101011011000 => 01010110110001
10101011100010 => 01010111000101
10101011100100 => 01010111001001
10101100101100 => 01011001011001
10101100110010 => 01011001100101
10101100110100 => 01011001101001
10101101001010 => 01011010010101
10101101001100 => 01011010011001
10101101010010 => 01011010100101
10101101010100 => 01011010101001
10101101011000 => 01011010110001
10101101100010 => 01011011000101
10101101100100 => 01011011001001
10101110001010 => 01011100010101
10101110001100 => 01011100011001
10101110010010 => 01011100100101
10101110100010 => 01011101000101
10101110100100 => 01011101001001
10101111000010 => 01011110000101
10101111000100 => 01011110001001
10101111001000 => 01011110010001
10101111010000 => 01011110100001
10101111100000 => 01011111000001
10110010101010 => 01100101010101
10110010101100 => 01100101011001
10110010110100 => 01100101101001
10110011001010 => 01100110010101
10110011100010 => 01100111000101
10110011110000 => 01100111100001
10110100101010 => 01101001010101
10110100101100 => 01101001011001
10110100110100 => 01101001101001
10110101001010 => 01101010010101
10110101001100 => 01101010011001
10110101010100 => 01101010101001
10110101011000 => 01101010110001
10110110001010 => 01101100010101
10110110110000 => 01101101100001
10110111000010 => 01101110000101
10110111001000 => 01101110010001
10110111010000 => 01101110100001
10110111100000 => 01101111000001
10111000101010 => 01110001010101
10111000111000 => 01110001110001
10111001001010 => 01110010010101
10111010001010 => 01110100010101
10111011010000 => 01110110100001
10111011100000 => 01110111000001
10111100001010 => 01111000010101
10111100001100 => 01111000011001
10111100010010 => 01111000100101
10111100011000 => 01111000110001
10111100100010 => 01111001000101
10111100110000 => 01111001100001
10111101000010 => 01111010000101
10111101001000 => 01111010010001
10111101010000 => 01111010100001
10111101100000 => 01111011000001
10111110000010 => 01111100000101
10111110000100 => 01111100001001
10111110001000 => 01111100010001
10111110010000 => 01111100100001
10111110100000 => 01111101000001
10111111000000 => 01111110000001
11001010101010 => 10010101010101
11001010101100 => 10010101011001
11001010110010 => 10010101100101
11001010110100 => 10010101101001
11001010111000 => 10010101110001
11001011001010 => 10010110010101
11001011001100 => 10010110011001
11001011010010 => 10010110100101
11001011010100 => 10010110101001
11001011011000 => 10010110110001
11001011100010 => 10010111000101
11001011110000 => 10010111100001
11001100101010 => 10011001010101
11001100101100 => 10011001011001
11001100110100 => 10011001101001
11001101010010 => 10011010100101
11001101010100 => 10011010101001
11001101101000 => 10011011010001
11001101110000 => 10011011100001
11001110001010 => 10011100010101
11001110011000 => 10011100110001
11001110100100 => 10011101001001
11001110101000 => 10011101010001
11001110110000 => 10011101100001
11001111000010 => 10011110000101
11001111000100 => 10011110001001
11001111001000 => 10011110010001
11001111010000 => 10011110100001
11001111100000 => 10011111000001
11010010101010 => 10100101010101
11010010101100 => 10100101011001
11010010110100 => 10100101101001
11010011100010 => 10100111000101
11010100101010 => 10101001010101
11010100101100 => 10101001011001
11010100110100 => 10101001101001
11010101001010 => 10101010010101
11010101001100 => 10101010011001
11010101010010 => 10101010100101
11010101010100 => 10101010101001
11010101011000 => 10101010110001
11010101100010 => 10101011000101
11010101100100 => 10101011001001
11010101101000 => 10101011010001
11010101110000 => 10101011100001
11010110001010 => 10101100010101
11010110010100 => 10101100101001
11010110011000 => 10101100110001
11010110100100 => 10101101001001
11010110101000 => 10101101010001
11010110110000 => 10101101100001
11010111010000 => 10101110100001
11011000101010 => 10110001010101
11011001010100 => 10110010101001
11011010001100 => 10110100011001
11011010010100 => 10110100101001
11011010101000 => 10110101010001
11011010110000 => 10110101100001
11011011000010 => 10110110000101
11011011010000 => 10110110100001
11011100001010 => 10111000010101
11011100001100 => 10111000011001
11011110000010 => 10111100000101
11011110000100 => 10111100001001
11011110010000 => 10111100100001
11011110100000 => 10111101000001
11011111000000 => 10111110000001
11100010101010 => 11000101010101
11100010101100 => 11000101011001
11100010110100 => 11000101101001
11100011100010 => 11000111000101
11100011110000 => 11000111100001
11100100101010 => 11001001010101
11100100101100 => 11001001011001
11100100110100 => 11001001101001
11100101001010 => 11001010010101
11100101010010 => 11001010100101
11100101010100 => 11001010101001
11100101100100 => 11001011001001
11100110001100 => 11001100011001
11100110010100 => 11001100101001
11100110101000 => 11001101010001
11100111000010 => 11001110000101
11101000101010 => 11010001010101
11101000101100 => 11010001011001
11101001001100 => 11010010011001
11101001010100 => 11010010101001
11101001100010 => 11010011000101
11101001100100 => 11010011001001
11101010001010 => 11010100010101
11101010001100 => 11010100011001
11101010010100 => 11010100101001
11101010011000 => 11010100110001
11101010100010 => 11010101000101
11101010100100 => 11010101001001
11101010101000 => 11010101010001
11101010110000 => 11010101100001
11101011000010 => 11010110000101
11101011001000 => 11010110010001
11101011010000 => 11010110100001
11101011100000 => 11010111000001
11101100001100 => 11011000011001
11101101000010 => 11011010000101
11101101000100 => 11011010001001
11101110000010 => 11011100000101
11101110000100 => 11011100001001
11101110010000 => 11011100100001
11101110100000 => 11011101000001
11101111000000 => 11011110000001
11110000101100 => 11100001011001
11110000110010 => 11100001100101
11110000111000 => 11100001110001
11110001001100 => 11100010011001
11110001100010 => 11100011000101
11110010001100 => 11100100011001
11110010010010 => 11100100100101
11110010100100 => 11100101001001
11110010101000 => 11100101010001
11110011000010 => 11100110000101
11110011000100 => 11100110001001
11110100001100 => 11101000011001
11110100100010 => 11101001000101
11110100100100 => 11101001001001
11110101000010 => 11101010000101
11110101000100 => 11101010001001
11110101010000 => 11101010100001
11110110000010 => 11101100000101
11110110000100 => 11101100001001
11110110001000 => 11101100010001
11110110010000 => 11101100100001
11110110100000 => 11101101000001
11110111000000 => 11101110000001
11111000001100 => 11110000011001
11111000010010 => 11110000100101
11111000010100 => 11110000101001
11111000100010 => 11110001000101
11111000100100 => 11110001001001
11111000110000 => 11110001100001
11111001000010 => 11110010000101
11111001000100 => 11110010001001
11111001001000 => 11110010010001
11111001100000 => 11110011000001
11111010000010 => 11110100000101
11111010000100 => 11110100001001
11111010001000 => 11110100010001
11111010010000 => 11110100100001
11111010100000 => 11110101000001
11111011000000 => 11110110000001
11111100000010 => 11111000000101
11111100000100 => 11111000001001
11111100001000 => 11111000010001
11111100010000 => 11111000100001
11111100100000 => 11111001000001
11111101000000 => 11111010000001
11111110000000 => 11111100000001
1010101010101100 => 0101010101011001
1010101010110100 => 0101010101101001
1010101011001100 => 0101010110011001
1010101011010100 => 0101010110101001
1010101011100100 => 0101010111001001
1010101100101100 => 0101011001011001
1010101111000100 => 0101011110001001
1010110010101100 => 0101100101011001
1010110010110100 => 0101100101101001
1010110101011000 => 0101101010110001
1010110111000010 => 0101101110000101
1010111000101010 => 0101110001010101
1010111010100010 => 0101110101000101
1010111011000010 => 0101110110000101
1010111100010010 => 0101111000100101
1010111100100010 => 0101111001000101
1010111101000010 => 0101111010000101
1010111110000010 => 0101111100000101
1010111110010000 => 0101111100100001
1010111110100000 => 0101111101000001
1010111111000000 => 0101111110000001
1011001010101100 => 0110010101011001
1011001010110100 => 0110010101101001
1011001111100000 => 0110011111000001
1011010010101100 => 0110100101011001
1011010010110100 => 0110100101101001
1011010101011000 => 0110101010110001
1011011011010000 => 0110110110100001
1011011100001010 => 0110111000010101
1011011101001000 => 0110111010010001
1011100010101010 => 0111000101010101
1011100011110000 => 0111000111100001
1011101001101000 => 0111010011010001
1011101010001010 => 0111010100010101
1011101100001010 => 0111011000010101
1011101101000100 => 0111011010001001
1011110001001010 => 0111100010010101
1011110010001010 => 0111100100010101
1011110100001010 => 0111101000010101
1011110100100100 => 0111101001001001
1011110111000000 => 0111101110000001
1011111000001010 => 0111110000010101
1011111000001100 => 0111110000011001
1011111010100000 => 0111110101000001
1011111011000000 => 0111110110000001
1011111100000010 => 0111111000000101
1011111100010000 => 0111111000100001
1011111100100000 => 0111111001000001
1011111101000000 => 0111111010000001
1011111110000000 => 0111111100000001
1100101010101010 => 1001010101010101
1100101010101100 => 1001010101011001
1100101010110010 => 1001010101100101
1100101010110100 => 1001010101101001
1100101010111000 => 1001010101110001
1100101011001010 => 1001010110010101
1100101011010100 => 1001010110101001
1100101101010100 => 1001011010101001
1100110011001100 => 1001100110011001
1100110011101000 => 1001100111010001
1100110011110000 => 1001100111100001
1100110101010100 => 1001101010101001
1100111000101010 => 1001110001010101
1100111010001100 => 1001110100011001
1100111011001000 => 1001110110010001
1100111011100000 => 1001110111000001
1100111100001100 => 1001111000011001
1100111101010000 => 1001111010100001
1100111101100000 => 1001111011000001
1100111110000010 => 1001111100000101
1100111110000100 => 1001111100001001
1100111110001000 => 1001111100010001
1100111110010000 => 1001111100100001
1100111110100000 => 1001111101000001
1100111111000000 => 1001111110000001
1101001010101100 => 1010010101011001
1101001010110100 => 1010010101101001
1101001101101000 => 1010011011010001
1101001110100100 => 1010011101001001
1101010100101010 => 1010101001010101
1101010100101100 => 1010101001011001
1101010101001010 => 1010101010010101
1101010101001100 => 1010101010011001
1101010101010010 => 1010101010100101
1101010101010100 => 1010101010101001
1101010101011000 => 1010101010110001
1101010101100100 => 1010101011001001
1101010101101000 => 1010101011010001
1101010101110000 => 1010101011100001
1101010110010100 => 1010101100101001
1101010110101000 => 1010101101010001
1101011000101010 => 1010110001010101
1101011001010100 => 1010110010101001
1101100010101010 => 1011000101010101
1101100101010100 => 1011001010101001
1101101000110100 => 1011010001101001
1101101101000010 => 1011011010000101
1101110100100010 => 1011101001000101
1101111000001100 => 1011110000011001
1101111100100000 => 1011111001000001
1101111101000000 => 1011111010000001
1101111110000000 => 1011111100000001
1110001010101010 => 1100010101010101
1110001010101100 => 1100010101011001
1110001010110100 => 1100010101101001
1110001111000010 => 1100011110000101
1110010101001010 => 1100101010010101
1110010101010010 => 1100101010100101
1110010101010100 => 1100101010101001
1110011001010100 => 1100110010101001
1110100011001100 => 1101000110011001
1110100011101000 => 1101000111010001
1110100011110000 => 1101000111100001
1110100100110100 => 1101001001101001
1110100101010100 => 1101001010101001
1110100110100010 => 1101001101000101
1110101000101010 => 1101010001010101
1110101001010100 => 1101010010101001
1110101010001010 => 1101010100010101
1110101010001100 => 1101010100011001
1110101010100010 => 1101010101000101
1110101010100100 => 1101010101001001
1110101010101000 => 1101010101010001
1110101010110000 => 1101010101100001
1110110010001100 => 1101100100011001
1110110011001000 => 1101100110010001
1110110011100000 => 1101100111000001
1110110100010010 => 1101101000100101
1110111000001100 => 1101110000011001
1110111001010000 => 1101110010100001
1110111001100000 => 1101110011000001
1110111100000010 => 1101111000000101
1110111100001000 => 1101111000010001
1110111100010000 => 1101111000100001
1110111100100000 => 1101111001000001
1110111101000000 => 1101111010000001
1110111110000000 => 1101111100000001
1111000011001100 => 1110000110011001
1111000011101000 => 1110000111010001
1111000011110000 => 1110000111100001
1111001010101000 => 1110010101010001
1111010010010010 => 1110100100100101
1111010100001100 => 1110101000011001
1111010110000010 => 1110101100000101
1111010110001000 => 1110101100010001
1111010110100000 => 1110101101000001
1111010111000000 => 1110101110000001
1111011000001100 => 1110110000011001
1111011010010000 => 1110110100100001
1111011011000000 => 1110110110000001
1111011100000010 => 1110111000000101
1111011100000100 => 1110111000001001
1111011100001000 => 1110111000010001
1111011100010000 => 1110111000100001
1111011101000000 => 1110111010000001
1111011110000000 => 1110111100000001
1111100010001100 => 1111000100011001
1111100011000010 => 1111000110000101
1111100011001000 => 1111000110010001
1111100011100000 => 1111000111000001
1111100100001100 => 1111001000011001
1111100110000010 => 1111001100000101
1111100110001000 => 1111001100010001
1111100111000000 => 1111001110000001
1111101000001100 => 1111010000011001
1111101010000010 => 1111010100000101
1111101010000100 => 1111010100001001
1111101010100000 => 1111010101000001
1111101011000000 => 1111010110000001
1111101100000010 => 1111011000000101
1111101100000100 => 1111011000001001
1111101100001000 => 1111011000010001
1111101100010000 => 1111011000100001
1111101100100000 => 1111011001000001
1111101101000000 => 1111011010000001
1111101110000000 => 1111011100000001
1111110000001100 => 1111100000011001
1111110001000010 => 1111100010000101
1111110001000100 => 1111100010001001
1111110001010000 => 1111100010100001
1111110001100000 => 1111100011000001
1111110010000010 => 1111100100000101
1111110010000100 => 1111100100001001
1111110010010000 => 1111100100100001
1111110010100000 => 1111100101000001
1111110011000000 => 1111100110000001
1111110100000010 => 1111101000000101
1111110100000100 => 1111101000001001
1111110100010000 => 1111101000100001
1111110100100000 => 1111101001000001
1111110101000000 => 1111101010000001
1111110110000000 => 1111101100000001
1111111000000010 => 1111110000000101
1111111000000100 => 1111110000001001
1111111000001000 => 1111110000010001
1111111000010000 => 1111110000100001
1111111000100000 => 1111110001000001
1111111001000000 => 1111110010000001
1111111010000000 => 1111110100000001
1111111100000000 => 1111111000000001
1111111111 => 1111111111
1111111110 => 1111111101
1111111101 => 1111111011
1111111011 => 1111110111
1111111010 => 1111110101
1111110110 => 1111101101
1111110010 => 1111100101
1111101110 => 1111011101
1111101011 => 1111010111
1111101010 => 1111010101
1111100100 => 1111001001
1111100010 => 1111000101
1111100001 => 1111000011
1111011110 => 1110111101
1111010010 => 1110100101
1111000001 => 1110000011
1110111110 => 1101111101
1110111011 => 1101110111
1110110100 => 1101101001
1110101111 => 1101011111
1110101010 => 1101010101
1110100001 => 1101000011
1110011110 => 1100111101
1110011100 => 1100111001
1110010110 => 1100101101
1110010011 => 1100100111
1110010001 => 1100100011
1110010000 => 1100100001
1110001001 => 1100010011
1110001000 => 1100010001
1110000101 => 1100001011
1110000011 => 1100000111
1110000010 => 1100000101
1110000001 => 1100000011
1101111110 => 1011111101
1101111101 => 1011111011
1101111001 => 1011110011
1101110001 => 1011100011
1101100001 => 1011000011
1101010001 => 1010100011
1101010000 => 1010100001
1101001110 => 1010011101
1101001001 => 1010010011
1101001000 => 1010010001
1101000101 => 1010001011
1101000011 => 1010000111
1101000010 => 1010000101
1101000001 => 1010000011
1100111101 => 1001111011
1100111001 => 1001110011
1100110001 => 1001100011
1100101001 => 1001010011
1100100110 => 1001001101
1100100101 => 1001001011
1100100100 => 1001001001
1100100011 => 1001000111
1100100001 => 1001000011
1100011111 => 1000111111
1100011101 => 1000111011
1100011100 => 1000111001
1100011010 => 1000110101
1100011001 => 1000110011
1100010110 => 1000101101
1100010101 => 1000101011
1100010011 => 1000100111
1100010010 => 1000100101
1100010001 => 1000100011
1100010000 => 1000100001
1100001111 => 1000011111
1100001101 => 1000011011
1100001011 => 1000010111
1100001001 => 1000010011
1100001000 => 1000010001
1100000111 => 1000001111
1100000110 => 1000001101
1100000101 => 1000001011
1100000011 => 1000000111
1100000010 => 1000000101
1100000001 => 1000000011
1100000000 => 1000000001
1011111111 => 0111111111
1011111110 => 0111111101
1011111101 => 0111111011
1011111100 => 0111111001
1011111011 => 0111110111
1011111010 => 0111110101
1011111000 => 0111110001
1011110100 => 0111101001
1011101111 => 0111011111
1011101110 => 0111011101
1011101010 => 0111010101
1011100110 => 0111001101
1011100001 => 0111000011
1011100000 => 0111000001
1011011111 => 0110111111
1011011100 => 0110111001
1011010110 => 0110101101
1011010011 => 0110100111
1011010001 => 0110100011
1011010000 => 0110100001
1011001001 => 0110010011
1011001000 => 0110010001
1011000101 => 0110001011
1011000011 => 0110000111
1011000001 => 0110000011
1011000000 => 0110000001
1010111111 => 0101111111
1010111110 => 0101111101
1010111010 => 0101110101
1010110001 => 0101100011
1010101111 => 0101011111
1010101110 => 0101011101
1010101011 => 0101010111
1010101001 => 0101010011
1010101000 => 0101010001
1010100110 => 0101001101
1010100101 => 0101001011
1010100100 => 0101001001
1010100011 => 0101000111
1010100000 => 0101000001
1010011111 => 0100111111
1010011101 => 0100111011
1010011100 => 0100111001
1010011010 => 0100110101
1010011001 => 0100110011
1010011000 => 0100110001
1010010111 => 0100101111
1010010110 => 0100101101
1010010101 => 0100101011
1010010011 => 0100100111
1010010000 => 0100100001
1010001111 => 0100011111
1010001110 => 0100011101
1010001101 => 0100011011
1010001011 => 0100010111
1010001000 => 0100010001
1010000111 => 0100001111
1010000101 => 0100001011
1010000011 => 0100000111
1010000010 => 0100000101
1010000001 => 0100000011
1010000000 => 0100000001
1001111111 => 0011111111
1001111110 => 0011111101
1001111101 => 0011111011
1001111100 => 0011111001
1001111000 => 0011110001
1001110110 => 0011101101
1001110100 => 0011101001
1001110011 => 0011100111
1001110001 => 0011100011
1001101100 => 0011011001
1001101010 => 0011010101
1001101001 => 0011010011
1001101000 => 0011010001
1001100110 => 0011001101
1001100101 => 0011001011
1001100011 => 0011000111
1001011110 => 0010111101
1001011100 => 0010111001
1001011011 => 0010110111
1001011010 => 0010110101
1001011001 => 0010110011
1001010110 => 0010101101
1001010101 => 0010101011
1001010100 => 0010101001
1001010011 => 0010100111
1001001111 => 0010011111
1001001110 => 0010011101
1001001101 => 0010011011
1001001011 => 0010010111
1001001010 => 0010010101
1001001000 => 0010010001
1001000111 => 0010001111
1001000000 => 0010000001
1000111110 => 0001111101
1000111101 => 0001111011
1000111100 => 0001111001
1000111010 => 0001110101
1000111001 => 0001110011
1000111000 => 0001110001
1000110110 => 0001101101
1000110101 => 0001101011
1000110011 => 0001100111
1000101110 => 0001011101
1000101101 => 0001011011
1000101100 => 0001011001
1000101011 => 0001010111
1000100111 => 0001001111
1000100110 => 0001001101
1000100101 => 0001001011
1000100011 => 0001000111
1000011110 => 0000111101
1000011101 => 0000111011
1000011011 => 0000110111
1000010111 => 0000101111
1000010110 => 0000101101
1000010001 => 0000100011
1000010000 => 0000100001
1000001111 => 0000011111
1000001110 => 0000011101
1000001101 => 0000011011
1000001010 => 0000010101
1000001000 => 0000010001
1000000110 => 0000001101
1000000101 => 0000001011
1000000100 => 0000001001
1000000011 => 0000000111
1000000010 => 0000000101
1000000001 => 0000000011
1000000000 => 0000000001
10000000000 => 00000000001
10000000010 => 00000000101
10000000110 => 00000001101
10000001110 => 00000011101
10000011110 => 00000111101
10000111110 => 00001111101
10001111110 => 00011111101
10011111110 => 00111111101
10111111110 => 01111111101
11111111110 => 11111111101
10000000100 => 00000001001
10000001010 => 00000010101
10000010110 => 00000101101
10000101110 => 00001011101
100000111110 => 000001111101
10001011110 => 00010111101
10010111110 => 00101111101
10101111110 => 01011111101
11011111110 => 10111111101
101111111110 => 011111111101
100001011110 => 000010111101
100101111110 => 001011111101
11101111110 => 11011111101
10000010000 => 00000100001
10000100010 => 00001000101
100010011110 => 000100111101
100001101110 => 000011011101
10101011110 => 01010111101
10111011110 => 01110111101
11110111110 => 11101111101
111011111110 => 110111111101
10000100000 => 00001000001
10001000010 => 00010000101
10000100100 => 00001001001
100001000110 => 000010001101
10001001010 => 00010010101
100100011110 => 001000111101
100010101110 => 000101011101
100001110110 => 000011101101
10101101110 => 01011011101
101010111110 => 010101111101
100111011110 => 001110111101
11100111110 => 11001111101
11011011110 => 10110111101
10111101110 => 01111011101
11111011110 => 11110111101
100000100000 => 000001000001
10001000000 => 00010000001
10001000100 => 00010001001
10000101000 => 00001010001
10010001010 => 00100010101
10001010010 => 00010100101
101000011110 => 010000111101
100100101110 => 001001011101
100011001110 => 000110011101
100010110110 => 000101101101
100001111010 => 000011110101
11010011110 => 10100111101
10110101110 => 01101011101
10101110110 => 01011101101
11101011110 => 11010111101
11011101110 => 10111011101
10111110110 => 01111101101
11111101110 => 11111011101
111110111110 => 111101111101
1000000100000 => 0000001000001
1000001000010 => 0000010000101
10010000100 => 00100001001
10001001000 => 00010010001
100010001010 => 000100010101
100001001100 => 000010011001
10010010010 => 00100100101
10001010100 => 00010101001
101000101110 => 010001011101
10010101010 => 00101010101
100101001110 => 001010011101
100100110110 => 001001101101
100011010110 => 000110101101
100010111010 => 000101110101
100001111100 => 000011111001
11001001110 => 10010011101
10101010110 => 01010101101
11010101110 => 10101011101
10110110110 => 01101101101
101101011110 => 011010111101
10101111010 => 01011110101
101011101110 => 010111011101
100111110110 => 001111101101
11110011110 => 11100111101
11101101110 => 11011011101
11011110110 => 10111101101
10111111010 => 01111110101
11111110110 => 11111101101
1000001000100 => 0000010001001
10100000000 => 01000000001
11000000010 => 10000000101
10010001000 => 00100010001
10001010000 => 00010100001
10100010010 => 01000100101
10010100010 => 00101000101
10010010100 => 00100101001
11000100110 => 10001001101
110000101110 => 100001011101
10100101010 => 01001010101
101001001110 => 010010011101
101000110110 => 010001101101
100110001110 => 001100011101
100101010110 => 001010101101
100100111010 => 001001110101
100011100110 => 000111001101
100011011010 => 000110110101
100010111100 => 000101111001
10101011010 => 01010110101
11010110110 => 10101101101
10111010110 => 01110101101
10110111010 => 01101110101
11110101110 => 11101011101
11101110110 => 11011101101
10111111100 => 01111111001
11111111010 => 11111110101
111111101110 => 111111011101
0000111110 => 0001111100
0001111010 => 0011110100
0001111100 => 0011111000
0001110110 => 0011101100
0011110010 => 0111100100
0011110100 => 0111101000
0010111010 => 0101110100
0010111100 => 0101111000
0011111000 => 0111110000
0001101110 => 0011011100
0011101010 => 0111010100
0011101100 => 0111011000
0011100110 => 0111001100
0111100010 => 1111000100
0111100100 => 1111001000
0100111010 => 1001110100
0100111100 => 1001111000
0111101000 => 1111010000
0010110110 => 0101101100
0110110010 => 1101100100
0110110100 => 1101101000
0101101010 => 1011010100
0101101100 => 1011011000
0110111000 => 1101110000
0101110010 => 1011100100
0101110100 => 1011101000
0101111000 => 1011110000
0111110000 => 1111100000
0101010101 => 1010101010
0000011111 => 0000111110
0100001111 => 1000011110
0000110111 => 0001101110
0000101111 => 0001011110
0101000111 => 1010001110
0000111011 => 0001110110
0100011011 => 1000110110
0001101011 => 0011010110
0001011011 => 0010110110
0100010111 => 1000101110
0001100111 => 0011001110
0001001111 => 0010011110
0001010111 => 0010101110
0101010011 => 1010100110
0000111101 => 0001111010
0100011101 => 1000111010
0001101101 => 0011011010
0001011101 => 0010111010
0101001101 => 1010011010
0001110101 => 0011101010
0100110101 => 1001101010
0011010101 => 0110101010
0010110101 => 0101101010
0100101101 => 1001011010
0011000111 => 0110001110
0010001111 => 0100011110
0010101101 => 0101011010
0101001011 => 1010010110
0001110011 => 0011100110
0100110011 => 1001100110
0011010011 => 0110100110
0010110011 => 0101100110
0100100111 => 1001001110
0011001101 => 0110011010
0010011101 => 0100111010
0010100111 => 0101001110
0100101011 => 1001010110
0011001011 => 0110010110
0010011011 => 0100110110
0010010111 => 0100101110
0010101011 => 0101010110
0111100001 => 1111000010
0111000101 => 1110001010
0110110001 => 1101100010
0111010001 => 1110100010
0110010101 => 1100101010
0101110001 => 1011100010
0101100101 => 1011001010
0101011001 => 1010110010
0101101001 => 1011010010
0110100101 => 1101001010
0110101001 => 1101010010
0110011001 => 1100110010
0111001001 => 1110010010
0111011000 => 1110110000
0110101100 => 1101011000
0111001100 => 1110011000
0111010100 => 1110101000
0101011100 => 1010111000
0101010110 => 1010101100
0101011010 => 1010110100
0111000110 => 1110001100
0110011100 => 1100111000
0110010110 => 1100101100
0110011010 => 1100110100
0101100110 => 1011001100
0111001010 => 1110010100
0110100110 => 1101001100
0111010010 => 1110100100
0110101010 => 1101010100
00001000001 => 00010000010
000011011110 => 000110111100
010000011111 => 100000111110
000001111101 => 000011111010
111100000101 => 111000001011
011111000001 => 111110000010
010111110000 => 101111100000
0011011100 => 0110111000
0001011110 => 0010111100
0011010110 => 0110101100
0010101110 => 0101011100
0011001110 => 0110011100
0010011110 => 0100111100
0100101110 => 1001011100
0101001110 => 1010011100
0110001110 => 1100011100
0100011110 => 1000111100
0011011001 => 0110110010
0011011010 => 0110110100
0100110110 => 1001101100
0010111001 => 0101110010
0001111001 => 0011110010
0011110001 => 0111100010
0110010011 => 1100100110
0110001011 => 1100010110
0110000111 => 1100001110
0111000011 => 1110000110
0011101001 => 0111010010
0011100101 => 0111001010
0100111001 => 1001110010
0011100011 => 0111000110
0101100011 => 1011000110
0110100011 => 1101000110
10110110110110100000 => 01101101101101000001
10110110111010010000 => 01101101110100100001
10110111010011010000 => 01101110100110100001
10110111011010001000 => 01101110110100010001
10110111101001001000 => 01101111010010010001
10111010011011010000 => 01110100110110100001
10111010011101001000 => 01110100111010010001
10111011010001101000 => 01110110100011010001
10111011011010000100 => 01110110110100001001
10111011101001000100 => 01110111010010001001
10111101001001101000 => 01111010010011010001
10111101001101000100 => 01111010011010001001
10111101101000100100 => 01111011010001001001
10111110100100100100 => 01111101001001001001
11010011011011010000 => 10100110110110100001
11010011011101001000 => 10100110111010010001
11010011101001101000 => 10100111010011010001
11010011101101000100 => 10100111011010001001
11010011110100100100 => 10100111101001001001
11011010001101101000 => 10110100011011010001
11011010001110100100 => 10110100011101001001
11011011010000110100 => 10110110100001101001
11011011011010000010 => 10110110110100000101
11011011101001000010 => 10110111010010000101
11011101001000110100 => 10111010010001101001
11011101001101000010 => 10111010011010000101
11011101101000100010 => 10111011010001000101
11011110100100100010 => 10111101001001000101
11101001001101101000 => 11010010011011010001
11101001001110100100 => 11010010011101001001
11101001101000110100 => 11010011010001101001
11101001101101000010 => 11010011011010000101
11101001110100100010 => 11010011101001000101
11101101000100110100 => 11011010001001101001
11101101000110100010 => 11011010001101000101
11101101101000010010 => 11011011010000100101
11101110100100010010 => 11011101001000100101
11110100100100110100 => 11101001001001101001
11110100100110100010 => 11101001001101000101
11110100110100010010 => 11101001101000100101
11110110100010010010 => 11101101000100100101
11111010010010010010 => 11110100100100100101
10100100010000 => 01001000100001
111111110000000010 => 111111100000000101
101111111100000000 => 011111111000000001
11111111100000000010 => 11111111000000000101
111111101000000010 => 111111010000000101
101111111010000000 => 011111110100000001
10111111111000000000 => 01111111110000000001
1111111111000000000010 => 1111111110000000000101
11111111010000000010 => 11111110100000000101
111111100100000010 => 111111001000000101
111111011000000010 => 111110110000000101
101111111001000000 => 011111110010000001
101111110110000000 => 011111101100000001
10111111110100000000 => 01111111101000000001
1011111111110000000000 => 0111111111100000000001
0000000010 => 0000000100
00000000010 => 00000000100
0100000100 => 1000001000
0000000001 => 0000000010
0100000001 => 1000000010
0110000001 => 1100000010
0111000001 => 1110000010
0111110001 => 1111100010
0111111001 => 1111110010
0111111101 => 1111111010
0111111111 => 1111111110
00000000001 => 00000000010
01000000001 => 10000000010
0010000001 => 0100000010
01100000001 => 11000000010
0101000001 => 1010000010
01110000001 => 11100000010
0110100001 => 1101000010
01111000001 => 11110000010
01111100001 => 11111000010
0111101001 => 1111010010
01111110001 => 11111100010
0111110101 => 1111101010
01111111001 => 11111110010
0111111011 => 1111110110
01111111101 => 11111111010
01111111111 => 11111111110
0000000101 => 0000001010
0000001101 => 0000011010
0000011101 => 0000111010
0001111101 => 0011111010
0011111101 => 0111111010
00000000101 => 00000001010
0000001001 => 0000010010
00000001101 => 00000011010
0000010101 => 0000101010
00000011101 => 00000111010
0000101101 => 0001011010
00000111101 => 00001111010
00001111101 => 00011111010
0010111101 => 0101111010
00011111101 => 00111111010
0101111101 => 1011111010
00111111101 => 01111111010
11111111101 => 11111111011
0100000000 => 1000000000
0100000011 => 1000000110
0100000111 => 1000001110
0100011111 => 1000111110
0100111111 => 1001111110
0101111111 => 1011111110
01000000000 => 10000000000
0100000010 => 1000000100
01000000011 => 10000000110
0100000101 => 1000001010
01000000111 => 10000001110
0100001011 => 1000010110
01000001111 => 10000011110
01000011111 => 10000111110
0100101111 => 1001011110
01000111111 => 10001111110
0101011111 => 1010111110
01001111111 => 10011111110
0110111111 => 1101111110
01011111111 => 10111111110
0000000000 => 0000000000
101010101010101100 => 010101010101011001
101010101010110100 => 010101010101101001
10101010101010101100 => 01010101010101011001
110010101010101100 => 100101010101011001
110010101010110100 => 100101010101101001
10101010101010110100 => 01010101010101101001
1010101010101010101100 => 0101010101010101011001
11001010101010101100 => 10010101010101011001
101100101010101100 => 011001010101011001
110100101010101100 => 101001010101011001
101100101010110100 => 011001010101101001
110100101010110100 => 101001010101101001
11001010101010110100 => 10010101010101101001
1010101010101010110100 => 0101010101010101101001
110101010101010100 => 101010101010101001
111000101010101010 => 110001010101010101
111001010101010100 => 110010101010101001
11010101010101010100 => 10101010101010101001
11100010101010101010 => 11000101010101010101
101110001010101010 => 011100010101010101
110110001010101010 => 101100010101010101
110110010101010100 => 101100101010101001
111010010101010100 => 110100101010101001
11100101010101010100 => 11001010101010101001
1101010101010101010100 => 1010101010101010101001
101011111110000000 => 010111111100000001
101111111000000010 => 011111110000000101
10101111111100000000 => 01011111111000000001
101100111111000000 => 011001111110000001
110011111100000010 => 100111111000000101
10111111110000000010 => 01111111100000000101
110010101010101010 => 100101010101010101
110101010101011000 => 101010101010110001
11001010101010101010 => 10010101010101010101
11010101010101011000 => 10101010101010110001
110101010101101000 => 101010101011010001
110101010101100100 => 101010101011001001
110010101010110010 => 100101010101100101
1100101010101010101010 => 1001010101010101010101
101011111100000010 => 010111111000000101
101111110000001010 => 011111100000010101
10101111111000000010 => 01011111110000000101
101011111010000010 => 010111110100000101
101111101000001010 => 011111010000010101
10111111100000001010 => 01111111000000010101
1010111111110000000010 => 0101111111100000000101
10101111110100000010 => 01011111101000000101
101011110110000010 => 010111101100000101
101011111001000010 => 010111110010000101
101111011000001010 => 011110110000010101
101111100100001010 => 011111001000010101
10111111010000001010 => 01111110100000010101
1011111111000000001010 => 0111111110000000010101
111111110000000100 => 111111100000001001
111111101000000100 => 111111010000001001
11111111100000000100 => 11111111000000001001
101010101011001100 => 010101010110011001
101010101011100100 => 010101010111001001
111111011000000100 => 111110110000001001
111111100100000100 => 111111001000001001
11111111010000000100 => 11111110100000001001
1111111111000000000100 => 1111111110000000001001
111001010101010010 => 110010101010100101
110011010101010100 => 100110101010101001
110101010101001100 => 101010101010011001
101101010101011000 => 011010101010110001
111111110100000000 => 111111101000000001
111111110010000000 => 111111100100000001
11111111101000000000 => 11111111010000000001
11111111100100000000 => 11111111001000000001
1111111111010000000000 => 1111111110100000000001
110111111010000000 => 101111110100000001
110111111001000000 => 101111110010000001
10111111110010000000 => 01111111100100000001
1111111111001000000000 => 1111111110010000000001
111010101010101000 => 110101010101010001
110101010101010010 => 101010101010100101
111010101010100010 => 110101010101000101
11101010101010101000 => 11010101010101010001
11010101010101010010 => 10101010101010100101
110101010101001010 => 101010101010010101
111010101010001010 => 110101010100010101
111010101010100100 => 110101010101001001
11101010101010100010 => 11010101010101000101
1110101010101010101000 => 1101010101010101010001
110111111100000000 => 101111111000000001
101111110000001100 => 011111100000011001
111111110000001000 => 111111100000010001
111011111100000000 => 110111111000000001
11011111111000000000 => 10111111110000000001
111111011010000000 => 111110110100000001
11111110110100000000 => 11111101101000000001
111110111010000000 => 111101110100000001
111111011001000000 => 111110110010000001
111110111000000010 => 111101110000000101
111111001100000010 => 111110011000000101
11111110110000000010 => 11111101100000000101
110011111110000000 => 100111111100000001
111111111000000000 => 111111110000000001
11001111111100000000 => 10011111111000000001
110011111101000000 => 100111111010000001
11111111110000000000 => 11111111100000000001
1100111111111000000000 => 1001111111110000000001
11001111111010000000 => 10011111110100000001
110011111011000000 => 100111110110000001
110011111100100000 => 100111111001000001
111111101100000000 => 111111011000000001
1111111111100000000000 => 1111111111000000000001
111111100000001100 => 111111000000011001
111111010000001100 => 111110100000011001
11111111000000001100 => 11111110000000011001
111110110000001100 => 111101100000011001
111111001000001100 => 111110010000011001
11111110100000001100 => 11111101000000011001
1111111110000000001100 => 1111111100000000011001
11000000000 => 10000000001
10000000001 => 00000000011
00010100001 => 00101000010
0000010000001 => 0000100000010
100000001000000 => 000000010000001
1000001010000 => 0000010100001
00100100001 => 01001000010
00010010001 => 00100100010
0000101000001 => 0001010000010
000000100000001 => 000001000000010
10000000010000000 => 00000000100000001
100000010100000 => 000000101000001
1000010010000 => 0000100100001
1000001001000 => 0000010010001
01000001000 => 10000010000
01000100001 => 10001000010
00101010001 => 01010100010
0001001000001 => 0010010000010
00010000010 => 00100000100
00010001001 => 00100010010
0000100100001 => 0001001000010
000001010000001 => 000010100000010
00000001000000001 => 00000010000000010
1000000000100000000 => 0000000001000000001
10000000101000000 => 00000001010000001
100000100100000 => 000001001000001
100000010010000 => 000000100100001
1000100010000 => 0001000100001
1000010101000 => 0000101010001
10100001000 => 01000010001
10000100001 => 00001000011
01000010100 => 10000101000
01001010001 => 10010100010
0010001000001 => 0100010000010
00100000100 => 01000001000
00100010001 => 01000100010
00101000010 => 01010000100
00101001001 => 01010010010
0001010100001 => 0010101000010
000010010000001 => 000100100000010
00010000101 => 00100001010
0000100010001 => 0001000100010
000001001000001 => 000010010000010
00000010100000001 => 00000101000000010
0000000010000000001 => 0000000100000000010
100000000001000000000 => 000000000010000000001
1000000001010000000 => 0000000010100000001
10000001001000000 => 00000010010000001
10000000100100000 => 00000001001000001
100001000100000 => 000010001000001
100000101010000 => 000001010100001
100000010001000 => 000000100010001
1001000010000 => 0010000100001
1000100101000 => 0001001010001
1000010001000 => 0000100010001
1000010100100 => 0000101001001
0100000010000 => 1000000100000
10100010100 => 01000101001
10010100100 => 00101001001
10001010001 => 00010100011
0100001000001 => 1000010000010
01000100100 => 10001001000
01000010010 => 10000100100
01010000100 => 10100001000
01010010001 => 10100100010
01001000010 => 10010000100
01001001001 => 10010010010
0010010100001 => 0100101000010
000100010000001 => 001000100000010
00100001010 => 01000010100
00100100010 => 01001000100
00100101001 => 01001010010
0001000100001 => 0010001000010
00101000101 => 01010001010
0001010010001 => 0010100100010
000010101000001 => 000101010000010
00000100100000001 => 00001001000000010
0000100000010 => 0001000000100
0000100001001 => 0001000010010
000001000100001 => 000010001000010
00000010010000001 => 00000100100000010
0000000101000000001 => 0000001010000000010
000000000100000000001 => 000000001000000000010
00000110111110 => 00001101111100
000111011100 => 001110111000
100011111000 => 000111110001
10000011111100 => 00000111111001
0000001101111110 => 0000011011111100
00001110111100 => 00011101111000
000111011010 => 001110110100
001011011100 => 010110111000
100011110100 => 000111101001
100101111000 => 001011110001
10000111111000 => 00001111110001
1000000111111100 => 0000001111111001
000000011011111110 => 000000110111111100
0000011101111100 => 0000111011111000
00001110111010 => 00011101110100
00010110111100 => 00101101111000
000111010110 => 001110101100
001111011000 => 011110110000
010011011100 => 100110111000
000101101110 => 001011011100
100011101100 => 000111011001
100111110000 => 001111100001
10000111110100 => 00001111101001
010001111010 => 100011110100
101001111000 => 010011110001
10001011111000 => 00010111110001
1000001111111000 => 0000011111110001
100000001111111100 => 000000011111111001
00000000110111111110 => 00000001101111111100
000000111011111100 => 000001110111111000
0000011101111010 => 0000111011110100
0000101101111100 => 0001011011111000
00001110110110 => 00011101101100
00011110111000 => 00111101110000
00100110111100 => 01001101111000
000111001110 => 001110011100
001111010100 => 011110101000
001011011010 => 010110110100
010111011000 => 101110110000
100011011100 => 000110111001
001101101100 => 011011011000
100111101000 => 001111010001
10000111101100 => 00001111011001
001001110110 => 010011101100
100101110100 => 001011101001
010011110010 => 100111100100
10001111110000 => 00011111100001
1000001111110100 => 0000011111101001
110001111000 => 100011110001
10010011111000 => 00100111110001
1000010111111000 => 0000101111110001
100000011111111000 => 000000111111110001
10000000011111111100 => 00000000111111111001
0000000001101111111110 => 0000000011011111111100
00000001110111111100 => 00000011101111111000
000000111011111010 => 000001110111110100
000001011011111100 => 000010110111111000
0000011101110110 => 0000111011101100
0000111101111000 => 0001111011110000
0001001101111100 => 0010011011111000
00001110101110 => 00011101011100
00011110110100 => 00111101101000
00010110111010 => 00101101110100
00101110111000 => 01011101110000
01000110111100 => 10001101111000
00001011011110 => 00010110111100
001111001100 => 011110011000
001111010010 => 011110100100
010111010100 => 101110101000
011011011000 => 110110110000
100111011000 => 001110110001
10000111011100 => 00001110111001
001101101010 => 011011010100
010101101100 => 101011011000
001011100110 => 010111001100
100111100100 => 001111001001
010011101010 => 100111010100
10001111101000 => 00011111010001
1000001111101100 => 0000011111011001
011001110100 => 110011101000
010101110010 => 101011100100
10001011110100 => 00010111101001
10010111110000 => 00101111100001
1000011111110000 => 0000111111100001
100000011111110100 => 000000111111101001
01000011111010 => 10000111110100
10100011111000 => 01000111110001
1000100111111000 => 0001001111110001
100000101111111000 => 000001011111110001
10000000111111111000 => 00000001111111110001
1000000000111111111100 => 0000000001111111111001
00000011111101 => 00000111111010
000010111101 => 000101111010
010000101111 => 100001011110
01000000111111 => 10000001111110
0000000111111101 => 0000001111111010
00000101111101 => 00001011111010
000011011101 => 000110111010
000100111101 => 001001111010
010000110111 => 100001101110
010001001111 => 100010011110
01000001011111 => 10000010111110
0100000001111111 => 1000000011111110
000000001111111101 => 000000011111111010
0000001011111101 => 0000010111111010
00000110111101 => 00001101111010
00001001111101 => 00010011111010
000011101101 => 000111011010
000101011101 => 001010111010
001000111101 => 010001111010
000011110011 => 000111100110
010000111011 => 100001110110
010001010111 => 100010101110
01000001101111 => 10000011011110
001100001111 => 011000011110
010010001111 => 100100011110
01000010011111 => 10000100111110
0100000010111111 => 1000000101111110
010000000011111111 => 100000000111111110
00000000011111111101 => 00000000111111111010
000000010111111101 => 000000101111111010
0000001101111101 => 0000011011111010
0000010011111101 => 0000100111111010
00000111011101 => 00001110111010
00001010111101 => 00010101111010
00010001111101 => 00100011111010
000011110101 => 000111101010
000101101101 => 001011011010
000110011101 => 001100111010
001001011101 => 010010111010
010000111101 => 100001111010
000101110011 => 001011100110
010001011011 => 100010110110
01000001110111 => 10000011101110
000111000111 => 001110001110
010001100111 => 100011001110
001100010111 => 011000101110
010010010111 => 100100101110
01000010101111 => 10000101011110
0100000011011111 => 1000000110111110
010100001111 => 101000011110
01000100011111 => 10001000111110
0100000100111111 => 1000001001111110
010000000101111111 => 100000001011111110
01000000000111111111 => 10000000001111111110
0000000000111111111101 => 0000000001111111111010
00000000101111111101 => 00000001011111111010
000000011011111101 => 000000110111111010
000000100111111101 => 000001001111111010
0000001110111101 => 0000011101111010
0000010101111101 => 0000101011111010
0000100011111101 => 0001000111111010
00000111101101 => 00001111011010
00001011011101 => 00010110111010
00001100111101 => 00011001111010
00010010111101 => 00100101111010
00100001111101 => 01000011111010
00000111110011 => 00001111100110
000101110101 => 001011101010
000110101101 => 001101011010
001001101101 => 010011011010
001010011101 => 010100111010
010001011101 => 100010111010
01000001111011 => 10000011110110
000110110011 => 001101100110
001001110011 => 010011100110
000111001011 => 001110010110
010001101011 => 100011010110
001100011011 => 011000110110
010010011011 => 100100110110
01000010110111 => 10000101101110
0100000011101111 => 1000000111011110
001011000111 => 010110001110
001100100111 => 011001001110
010010100111 => 100101001110
01000011001111 => 10000110011110
010100010111 => 101000101110
01000100101111 => 10001001011110
0100000101011111 => 1000001010111110
010000000110111111 => 100000001101111110
00110000011111 => 01100000111110
01001000011111 => 10010000111110
0100001000111111 => 1000010001111110
010000001001111111 => 100000010011111110
01000000001011111111 => 10000000010111111110
0100000000001111111111 => 1000000000011111111110
01111110000001 => 11111100000010
011110100001 => 111101000010
111010000101 => 110100001011
11111000000101 => 11110000001011
0111111100000001 => 1111111000000010
01111101000001 => 11111010000010
011101100001 => 111011000010
011110010001 => 111100100010
110110000101 => 101100001011
111001000101 => 110010001011
11110100000101 => 11101000001011
1111110000000101 => 1111100000001011
011111111000000001 => 111111110000000010
0111111010000001 => 1111110100000010
01111011000001 => 11110110000010
01111100100001 => 11111001000010
011011100001 => 110111000010
011101010001 => 111010100010
011110001001 => 111100010010
100111100001 => 001111000011
101110000101 => 011100001011
110101000101 => 101010001011
11101100000101 => 11011000001011
111000011001 => 110000110011
111000100101 => 110001001011
11110010000101 => 11100100001011
1111101000000101 => 1111010000001011
111111100000000101 => 111111000000001011
01111111110000000001 => 11111111100000000010
011111110100000001 => 111111101000000010
0111110110000001 => 1111101100000010
0111111001000001 => 1111110010000010
01110111000001 => 11101110000010
01111010100001 => 11110101000010
01111100010001 => 11111000100010
010111100001 => 101111000010
011011010001 => 110110100010
011100110001 => 111001100010
011101001001 => 111010010010
011110000101 => 111100001010
100111010001 => 001110100011
101101000101 => 011010001011
11011100000101 => 10111000001011
110001110001 => 100011100011
110011000101 => 100110001011
110100011001 => 101000110011
110100100101 => 101001001011
11101010000101 => 11010100001011
1111011000000101 => 1110110000001011
111000010101 => 110000101011
11110001000101 => 11100010001011
1111100100000101 => 1111001000001011
111111010000000101 => 111110100000001011
11111111000000000101 => 11111110000000001011
0111111111100000000001 => 1111111111000000000010
01111111101000000001 => 11111111010000000010
011111101100000001 => 111111011000000010
011111110010000001 => 111111100100000010
0111101110000001 => 1111011100000010
0111110101000001 => 1111101010000010
0111111000100001 => 1111110001000010
01101111000001 => 11011110000010
01110110100001 => 11101101000010
01111001100001 => 11110011000010
01111010010001 => 11110100100010
01111100001001 => 11111000010010
10011111000001 => 00111110000011
010111010001 => 101110100010
011010110001 => 110101100010
011011001001 => 110110010010
011100101001 => 111001010010
011101000101 => 111010001010
10111100000101 => 01111000001011
100110110001 => 001101100011
100111001001 => 001110010011
101001110001 => 010011100011
101011000101 => 010110001011
101100011001 => 011000110011
101100100101 => 011001001011
11011010000101 => 10110100001011
1110111000000101 => 1101110000001011
110001101001 => 100011010011
110010011001 => 100100110011
110010100101 => 100101001011
11100110000101 => 11001100001011
110100010101 => 101000101011
11101001000101 => 11010010001011
1111010100000101 => 1110101000001011
111110110000000101 => 111101100000001011
11110000011001 => 11100000110011
11110000100101 => 11100001001011
1111100010000101 => 1111000100001011
111111001000000101 => 111110010000001011
11111110100000000101 => 11111101000000001011
1111111110000000000101 => 1111111100000000001011
01011111100000 => 10111111000000
010111101000 => 101111010000
0101111111000000 => 1011111110000000
01011111010000 => 10111110100000
010111100100 => 101111001000
010111111110000000 => 101111111100000000
0101111110100000 => 1011111101000000
01011110110000 => 10111101100000
01011111001000 => 10111110010000
010110111000 => 101101110000
010111100010 => 101111000100
011001111000 => 110011110000
011110000110 => 111100001100
01011111111100000000 => 10111111111000000000
010111111101000000 => 101111111010000000
0101111101100000 => 1011111011000000
0101111110010000 => 1011111100100000
01011101110000 => 10111011100000
01011110101000 => 10111101010000
01011111000100 => 10111110001000
010101111000 => 101011110000
010110110100 => 101101101000
010111001100 => 101110011000
010111010010 => 101110100100
011100011100 => 111000111000
011101000110 => 111010001100
0101111111111000000000 => 1011111111110000000000
01011111111010000000 => 10111111110100000000
010111111011000000 => 101111110110000000
010111111100100000 => 101111111001000000
0101111011100000 => 1011110111000000
0101111101010000 => 1011111010100000
0101111110001000 => 1011111100010000
01011011110000 => 10110111100000
01011101101000 => 10111011010000
01011110011000 => 10111100110000
01011110100100 => 10111101001000
01011111000010 => 10111110000100
01100111110000 => 11001111100000
010101110100 => 101011101000
010110101100 => 101101011000
010110110010 => 101101100100
010111001010 => 101110010100
011001101100 => 110011011000
011001110010 => 110011100100
011010011100 => 110100111000
011011000110 => 110110001100
011100011010 => 111000110100
011100100110 => 111001001100
01111100000110 => 11111000001100
11100000001 => 11000000011
11010000001 => 10100000011
11001000001 => 10010000011
11000100001 => 10001000011
11000010001 => 10000100011
11000001001 => 10000010011
11000000101 => 10000001011
11000000011 => 10000000111
11000010010 => 10000100101
0010001100 => 0100011000
11000001000 => 10000010001
0100001000 => 1000010000
01000000100 => 10000001000
01111111011 => 11111110110
0111110111 => 1111101110
01111110101 => 11111101010
0111100111 => 1111001110
01111101001 => 11111010010
0111001011 => 1110010110
01111010001 => 11110100010
01110100001 => 11101000010
0100100011 => 1001000110
01101000001 => 11010000010
0001000011 => 0010000110
01010000001 => 10100000010
0010000010 => 0100000100
00100000001 => 01000000010
0001000001 => 0010000010
0001100001 => 0011000010
0010110001 => 0101100010
0011101101 => 0111011010
0011110111 => 0111101110
0000000100 => 0000001000
10111111101 => 01111111011
01011111101 => 10111111010
00101111101 => 01011111010
00010111101 => 00101111010
00001011101 => 00010111010
00000101101 => 00001011010
00000010101 => 00000101010
00000001001 => 00000010010
00000000100 => 00000001000
01101111111 => 11011111110
0111011111 => 1110111110
01010111111 => 10101111110
0111001111 => 1110011110
01001011111 => 10010111110
0110100111 => 1101001110
01000101111 => 10001011110
01000010111 => 10000101110
0110001001 => 1100010010
01000001011 => 10000010110
0110000100 => 1100001000
01000000101 => 10000001010
01000000010 => 10000000100
0110111001 => 1101110010
0001101001 => 0011010010
0000110001 => 0001100010
0000010001 => 0000100010
11111110010 => 11111100101
11111100010 => 11111000101
11111000010 => 11110000101
11110000010 => 11100000101
11100000010 => 11000000101
10111111111 => 01111111111
10111111000 => 01111110001
10111110000 => 01111100001
10111100000 => 01111000001
10111000000 => 01110000001
10110000000 => 01100000001
10011111101 => 00111111011
10001111101 => 00011111011
10000111101 => 00001111011
10000011101 => 00000111011
10000001101 => 00000011011
10000000101 => 00000001011
0111111010 => 1111110100
0011111010 => 0111110100
0000111010 => 0001110100
0000011010 => 0000110100
0000001010 => 0000010100
11111111011 => 11111110111
01111111010 => 11111110100
00111111010 => 01111110100
0101111010 => 1011110100
00011111010 => 00111110100
00001111010 => 00011110100
0001011010 => 0010110100
00000111010 => 00001110100
0000101010 => 0001010100
00000011010 => 00000110100
0000010010 => 0000100100
00000001010 => 00000010100
0010011111 => 0100111110
0000100111 => 0001001110
0000010011 => 0000100110
10011111111 => 00111111111
00100111111 => 01001111110
00010011111 => 00100111110
00001001111 => 00010011110
00000100111 => 00001001110
00000010011 => 00000100110
0010000000 => 0100000000
10101111111 => 01011111111
10100111111 => 01001111111
10100011111 => 01000111111
10100001111 => 01000011111
10100000111 => 01000001111
10100000011 => 01000000111
10100000001 => 01000000011
00100000000 => 01000000000
0001010101 => 0010101010
10110101010 => 01101010101
11010101010 => 10101010101
10101101010 => 01011010101
10101010100 => 01010101001
101010001110 => 010100011101
10101010010 => 01010100101
101010100110 => 010101001101
101000111010 => 010001110101
10101001010 => 01010010101
101010011010 => 010100110101
100011101010 => 000111010101
100110101010 => 001101010101
101001101010 => 010011010101
101001010110 => 010010101101
100101011010 => 001010110101
101010010110 => 010100101101
101001100110 => 010011001101
101001011010 => 010010110101
100110011010 => 001100110101
100101101010 => 001011010101
11111111100 => 11111111001
01001001010 => 10010010100
01001010010 => 10010100100
01010001010 => 10100010100
01010010010 => 10100100100
00100010010 => 01000100100
10100100010 => 01001000101
10100100100 => 01001001001
00100101010 => 01001010100
01010101010 => 10101010100
01010100010 => 10101000100
01000101010 => 10001010100
01000100010 => 10001000100
10101000100 => 01010001001
00101010010 => 01010100100
00101001010 => 01010010100
01001000100 => 10010001000
00100010101 => 01000101010
01001000101 => 10010001010
10001000101 => 00010001011
01000010001 => 10000100010
10100010001 => 01000100011
00101010100 => 01010101000
00101000100 => 01010001000
00100100100 => 01001001000
01010100100 => 10101001000
10010010001 => 00100100011
00010010100 => 00100101000
00100010100 => 01000101000
00010010010 => 00100100100
00010001010 => 00100010100
00100001001 => 01000010010
10010001001 => 00100010011
01001010101 => 10010101010
01010010100 => 10100101000
01000100101 => 10001001010
01010010101 => 10100101010
01010001000 => 10100010000
01010101001 => 10101010010
01001010100 => 10010101000
01000101001 => 10001010010
01010100101 => 10101001010
01001001000 => 10010010000
01010001001 => 10100010010
01000101000 => 10001010000
00101001000 => 01010010000
10010100101 => 00101001011
10100101001 => 01001010011
10010010101 => 00100101011
10100100101 => 01001001011
10101001001 => 01010010011
10101010101 => 01010101011
00001000010 => 00010000100
00010100010 => 00101000100
0000100010010 => 0001000100100
00010000100 => 00100001000
00001000100 => 00010001000
00010100100 => 00101001000
00100100101 => 01001001010
10001001001 => 00010010011
00001001000 => 00010010000
00001010000 => 00010100000
00010001000 => 00100010000
00100101000 => 01001010000
00010101000 => 00101010000
00100010000 => 01000100000
00000100000 => 00001000000
00010010000 => 00100100000
01000010000 => 10000100000
00100001000 => 01000010000
011111000100 => 111110001000
011111000010 => 111110000100
011101100100 => 111011001000
011101100010 => 111011000100
011011100100 => 110111001000
011011010100 => 110110101000
011011100010 => 110111000100
011011010010 => 110110100100
011111010000 => 111110100000
011111001000 => 111110010000
001111001010 => 011110010100
011101110000 => 111011100000
011111100000 => 111111000000
011101101000 => 111011010000
010101101010 => 101011010100
001111000110 => 011110001100
010011110100 => 100111101000
010011101100 => 100111011000
011011110000 => 110111100000
011011101000 => 110111010000
010011011010 => 100110110100
001101100110 => 011011001100
001011010101 => 010110101010
001101010101 => 011010101010
001011010011 => 010110100110
001101010011 => 011010100110
001011001011 => 010110010110
001011001101 => 010110011010
001101001011 => 011010010110
001101001101 => 011010011010
001001110101 => 010011101010
001010101101 => 010101011010
001100101101 => 011001011010
001101000111 => 011010001110
001010110101 => 010101101010
001100110101 => 011001101010
001001100111 => 010011001110
001001101011 => 010011010110
000110110101 => 001101101010
001010100111 => 010101001110
001010101011 => 010101010110
001100101011 => 011001010110
001010110011 => 010101100110
001100110011 => 011001100110
000111010101 => 001110101010
001000110111 => 010001101110
001000111011 => 010001110110
001001010111 => 010010101110
001001011011 => 010010110110
001010010111 => 010100101110
001010011011 => 010100110110
001100011101 => 011000111010
000111010011 => 001110100110
010101001011 => 101010010110
010101010011 => 101010100110
010011001011 => 100110010110
010011010011 => 100110100110
010100011011 => 101000110110
010010101011 => 100101010110
010010110011 => 100101100110
010100101011 => 101001010110
010100110011 => 101001100110
000110011011 => 001100110110
010100100111 => 101001001110
000110101011 => 001101010110
010101000111 => 101010001110
000100111011 => 001001110110
000101011011 => 001010110110
000101101011 => 001011010110
010001110011 => 100011100110
010101101001 => 101011010010
010101011001 => 101010110010
100101101001 => 001011010011
100101011001 => 001010110011
101001101001 => 010011010011
011001101001 => 110011010010
101001011001 => 010010110011
011001011001 => 110010110010
010111001001 => 101110010010
011010101001 => 110101010010
011010011001 => 110100110010
110001011001 => 100010110011
010110101001 => 101101010010
010110011001 => 101100110010
110011001001 => 100110010011
101011001001 => 010110010011
010110110001 => 101101100010
110010101001 => 100101010011
101010101001 => 010101010011
101010011001 => 010100110011
100110101001 => 001101010011
100110011001 => 001100110011
010101110001 => 101011100010
110110001001 => 101100010011
101110001001 => 011100010011
110101001001 => 101010010011
101101001001 => 011010010011
110100101001 => 101001010011
101100101001 => 011001010011
011100011001 => 111000110010
100101110001 => 001011100011
010101011010 => 101010110100
010101010110 => 101010101100
011001011010 => 110010110100
011001010110 => 110010101100
011010011010 => 110100110100
010110011010 => 101100110100
011010010110 => 110100101100
010110010110 => 101100101100
010110101010 => 101101010100
010110100110 => 101101001100
011100010110 => 111000101100
010101100110 => 101011001100
011100110010 => 111001100100
011010110010 => 110101100100
011100101010 => 111001010100
011010101010 => 110101010100
011010100110 => 110101001100
011001101010 => 110011010100
011001100110 => 110011001100
010101011100 => 101010111000
011101010010 => 111010100100
011101001010 => 111010010100
011011001010 => 110110010100
010111000110 => 101110001100
011001011100 => 110010111000
100101101100 => 001011011001
100111001100 => 001110011001
001111110000 => 011111100000
001011110010 => 010111100100
001101110010 => 011011100100
001111100010 => 011111000100
100111010100 => 001110101001
001101111000 => 011011110000
001101110100 => 011011101000
001011101010 => 010111010100
001011010110 => 010110101100
010100011101 => 101000111010
010001110101 => 100011101010
000101010111 => 001010101110
000110010111 => 001100101110
000110100111 => 001101001110
010001101101 => 100011011010
000101001111 => 001010011110
000101100111 => 001011001110
001001001111 => 010010011110
001010001111 => 010100011110
000111001101 => 001110011010
010010011101 => 100100111010
000011010111 => 000110101110
000011011011 => 000110110110
000011101011 => 000111010110
010011000111 => 100110001110
110001010101 => 100010101011
101100010101 => 011000101011
011100010101 => 111000101010
100111000101 => 001110001011
010111000101 => 101110001010
110101010001 => 101010100011
110100110001 => 101001100011
110010110001 => 100101100011
101010110001 => 010101100011
011011000101 => 110110001010
111001010001 => 110010100011
110011010001 => 100110100011
111001001001 => 110010010011
101100110001 => 011001100011
111000101001 => 110001010011
011001110001 => 110011100010
011101010100 => 111010101000
011101001100 => 111010011000
011100101100 => 111001011000
011010101100 => 110101011000
011110010100 => 111100101000
011100110100 => 111001101000
011110010010 => 111100100100
011011001100 => 110110011000
011110001010 => 111100010100
010110011100 => 101100111000
101001110100 => 010011101001
010011001101 => 100110011010
110001100101 => 100011001011
011001100101 => 110011001010
001111100100 => 011111001000
000111100110 => 001111001100
001111101000 => 011111010000
000111101010 => 001111010100
001011101100 => 010111011000
000111101100 => 001111011000
000111110010 => 001111100100
000010111011 => 000101110110
001000101111 => 010001011110
100101010101 => 001010101011
100101100101 => 001011001011
101011010001 => 010110100011
100110010101 => 001100101011
101001010101 => 010010101011
101011100001 => 010111000011
101010100101 => 010101001011
101101010001 => 011010100011
100110100101 => 001101001011
101010010101 => 010100101011
101101100001 => 011011000011
101001100101 => 010011001011
101110010001 => 011100100011
101110100001 => 011101000011
110101100001 => 101011000011
011001010101 => 110010101010
011010110100 => 110101101000
011010010101 => 110100101010
011010111000 => 110101110000
011010100101 => 110101001010
011101011000 => 111010110000
010100101101 => 101001011010
010010110101 => 100101101010
010101001101 => 101010011010
010100110101 => 101001101010
010011010101 => 100110101010
010101010101 => 101010101010
010110100101 => 101101001010
010110010101 => 101100101010
010101100101 => 101011001010
010001111100 => 100011111000
010011111000 => 100111110000
001001111010 => 010011110100
001001111100 => 010011111000
001011111000 => 010111110000
001000011111 => 010000111110
000110001111 => 001100011110
000100011111 => 001000111110
000100101111 => 001001011110
000001111011 => 000011110110
000011100111 => 000111001110
000001110111 => 000011101110
000010110111 => 000101101110
111100001001 => 111000010011
111010001001 => 110100010011
111000110001 => 110001100011
111100010001 => 111000100011
111010010001 => 110100100011
011110100010 => 111101000100
011110001100 => 111100011000
011110100100 => 111101001000
110010010101 => 100100101011
011100100101 => 111001001010
000101111100 => 001011111000
000011111100 => 000111111000
001011110100 => 010111101000
000101111010 => 001011110100
000111110100 => 001111101000
000111111000 => 001111110000
000010011111 => 000100111110
000001011111 => 000010111110
000100110111 => 001001101110
000011001111 => 000110011110
000010101111 => 000101011110
000001101111 => 000011011110
111100100001 => 111001000011
111101000001 => 111010000011
110110010001 => 101100100011
111001100001 => 110011000011
110110100001 => 101101000011
111010100001 => 110101000011
011110011000 => 111100110000
011110101000 => 111101010000
000011110110 => 000111101100
000001111110 => 000011111100
000011111010 => 000111110100
000000111111 => 000001111110
110111000001 => 101110000011
111110000001 => 111100000011
111011000001 => 110110000011
011110110000 => 111101100000
000011101110 => 000111011100
000101110110 => 001011101100
101111000001 => 011110000011
110011100001 => 100111000011
011100111000 => 111001110000
00111111111 => 01111111110
00000000000 => 00000000000
01111101111 => 11111011110
01111010111 => 11110101110
01111011011 => 11110110110
01110110111 => 11101101110
11101111101 => 11011111011
01111011101 => 11110111010
01110101011 => 11101010110
10111110111 => 01111101111
01101110111 => 11011101110
11101111010 => 11011110101
01111011110 => 11110111100
11010111101 => 10101111011
01110101101 => 11101011010
11011111011 => 10111110111
01110111011 => 11101110110
10111101011 => 01111010111
01101101011 => 11011010110
01011110111 => 10111101110
11010111010 => 10101110101
11011010110 => 10110101101
01110101110 => 11101011100
11011011101 => 10110111011
10110111101 => 01101111011
11011110101 => 10111101011
01110110101 => 11101101010
10111101101 => 01111011011
01101101101 => 11011011010
10101111011 => 01011110111
10111011011 => 01110110111
01101011011 => 11010110110
01011101011 => 10111010110
00000100010 => 00001000100
01000100000 => 10001000000
00000010010 => 00000100100
00100000010 => 01000000100
00000001000 => 00000010000
00010000000 => 00100000000
01001000000 => 10010000000
01010000000 => 10100000000
00001010010 => 00010100100
00000100100 => 00001001000
00100100000 => 01001000000
01001010000 => 10010100000
00011000001 => 00110000010
00110001000 => 01100010000
00101000001 => 01010000010
01001000001 => 10010000010
00111000001 => 01110000010
01110010000 => 11100100000
10001000001 => 00010000011
01011000001 => 10110000010
00110100001 => 01101000010
10001100000 => 00011000001
10110010000 => 01100100001
01100010000 => 11000100000
01101010000 => 11010100000
00100011000 => 01000110000
10011000001 => 00110000011
01010100001 => 10101000010
00101100001 => 01011000010
00110010001 => 01100100010
10010100000 => 00101000001
11000100000 => 10001000001
11010010000 => 10100100001
10100010000 => 01000100001
10101010000 => 01010100001
01000110000 => 10001100000
01010010000 => 10100100000
01011010000 => 10110100000
01100110000 => 11001100000
00000100001 => 00001000010
00001010001 => 00010100010
00001001001 => 00010010010
00001000101 => 00010001010
00010101001 => 00101010010
00001000011 => 00010000110
00010100101 => 00101001010
00010100011 => 00101000110
00010010101 => 00100101010
10010010000 => 00100100001
10010101000 => 00101010001
10100101000 => 01001010001
11000010000 => 10000100001
10101001000 => 01010010001
11000101000 => 10001010001
11110111101 => 11101111011
10111101111 => 01111011111
11111011101 => 11110111011
10111011111 => 01110111111
11111101101 => 11111011011
11101011101 => 11010111011
11011111101 => 10111111011
11111110111 => 11111101111
10111111011 => 01111110111
10111010111 => 01110101111
11101111111 => 11011111111
10110111111 => 01101111111
11111110101 => 11111101011
11101101101 => 11011011011
11101110111 => 11011101111
11111011111 => 11110111111
10110110111 => 01101101111
11101110101 => 11011101011
11110101101 => 11101011011
11011101101 => 10111011011
10111011101 => 01110111011
11110110111 => 11101101111
11011110111 => 10111101111
11111011011 => 11110110111
11101111011 => 11011110111
10110111011 => 01101110111
11011011111 => 10110111111
11101101111 => 11011011111
10110101111 => 01101011111
10101110111 => 01011101111
10101111101 => 01011111011
10101011111 => 01010111111
01101111101 => 11011111010
10001111111 => 00011111111
11101011111 => 11010111111
10011011111 => 00110111111
10111110101 => 01111101011
01110111101 => 11101111010
01111110111 => 11111101110
11111001111 => 11110011111
10011101111 => 00111011111
11100111111 => 11001111111
10010111111 => 00101111111
01111011111 => 11110111110
11111111001 => 11111110011
11111010101 => 11110101011
11111011001 => 11110110011
11111110001 => 11111100011
11111010111 => 11110101111
11111101001 => 11111010011
11110111001 => 11101110011
11111100111 => 11111001111
11110011111 => 11100111111
100001000011 => 000010000111
111000010000 => 110000100001
100011100011 => 000111000111
100010110011 => 000101100111
100110100011 => 001101000111
100010011011 => 000100110111
100111110011 => 001111100111
101100100011 => 011001000111
111000100110 => 110001001101
111001111100 => 110011111001
101010001000 => 010100010001
100010001111 => 000100011111
100111011011 => 001110110111
100101010011 => 001010100111
101101110011 => 011011100111
111000100011 => 110001000111
100111001010 => 001110010101
111001110110 => 110011101101
100100100100 => 001001001001
101010011100 => 010100111001
111011011100 => 110110111001
100111001111 => 001110011111
100101111011 => 001011110111
101101011011 => 011010110111
101111010011 => 011110100111
111001110011 => 110011100111
111001011110 => 110010111101
111011010110 => 110110101101
111011110100 => 110111101001
111110011100 => 111100111001
010001011110 => 100010111100
001001011110 => 010010111100
011000110110 => 110001101100
001101001110 => 011010011100
001011001110 => 010110011100
000101011110 => 001010111100
110010011100 => 100100111001
001100111010 => 011001110100
111000010110 => 110000101101
001001101110 => 010011011100
001101011100 => 011010111000
001110011010 => 011100110100
110100011010 => 101000110101
001101011010 => 011010110100
001110101010 => 011101010100
101100011010 => 011000110101
010100111010 => 101001110100
001111100001 => 011111000010
000111110001 => 001111100010
001110111000 => 011101110000
000111101001 => 001111010010
001011110001 => 010111100010
001110110100 => 011101101000
000111100101 => 001111001010
000011111001 => 000111110010
001101110001 => 011011100010
001110110010 => 011101100100
000110111100 => 001101111000
000111100011 => 001111000110
001011101001 => 010111010010
000101111001 => 001011110010
001110110001 => 011101100010
000110111010 => 001101110100
001010111100 => 010101111000
001001111001 => 010011110010
000110111001 => 001101110010
000110110110 => 001101101100
001010111010 => 010101110100
010010111100 => 100101111000
001100111100 => 011001111000
011110000011 => 111100000110
011100000111 => 111000001110
011010000111 => 110100001110
011100001011 => 111000010110
110100100011 => 101001000111
010110000111 => 101100001110
011000001111 => 110000011110
011100010011 => 111000100110
110000100111 => 100001001111
001110000111 => 011100001110
011010001011 => 110100010110
011000010111 => 110000101110
011100100011 => 111001000110
101100001101 => 011000011011
101000100111 => 010001001111
110010010011 => 100100100111
110000101011 => 100001010111
011000011011 => 110000110110
011000100111 => 110001001110
101010001101 => 010100011011
100110001011 => 001100010111
100100100111 => 001001001111
101010010011 => 010100100111
101000101011 => 010001010111
110000101101 => 100001011011
110000110011 => 100001100111
010011110001 => 100111100010
000111011001 => 001110110010
100110111000 => 001101110001
001110101100 => 011101011000
100011110001 => 000111100011
001111010001 => 011110100010
001110011100 => 011100111000
001111001001 => 011110010010
010000111110 => 100001111100
010100111100 => 101001111000
010001110110 => 100011101100
011000111100 => 110001111000
010010111010 => 100101110100
010001101110 => 100011011100
001010111001 => 010101110010
001010110110 => 010101101100
100000111101 => 000001111011
110000011101 => 100000111011
100010010111 => 000100101111
101000011101 => 010000111011
110010000111 => 100100001111
100100011101 => 001000111011
111000001101 => 110000011011
110000110101 => 100001101011
101010000111 => 010100001111
110010001011 => 100100010111
100010011101 => 000100111011
110100001101 => 101000011011
101000101101 => 010001011011
110000111001 => 100001110011
100110000111 => 001100001111
101010001011 => 010100010111
110010001101 => 100100011011
100100101011 => 001001010111
101000110011 => 010001100111
011000101011 => 110001010110
011000011110 => 110000111100
011000101110 => 110001011100
001110001110 => 011100011100
011001001110 => 110010011100
010110001110 => 101100011100
010011100110 => 100111001100
001110010110 => 011100101100
101000001111 => 010000011111
101000010111 => 010000101111
101000011011 => 010000110111
101001000111 => 010010001111
100001111001 => 000011110011
101001001011 => 010010010111
100010111001 => 000101110011
101001010011 => 010010100111
101001001101 => 010010011011
101000110101 => 010001101011
100110010011 => 001100100111
100110001101 => 001100011011
100101100011 => 001011000111
100100111001 => 001001110011
100011100101 => 000111001011
100011011001 => 000110110011
100011101001 => 000111010011
010010111001 => 100101110010
010011100101 => 100111001010
001101011001 => 011010110010
001110101001 => 011101010010
001110100101 => 011101001010
001110011001 => 011100110010
111000001011 => 110000010111
110100001011 => 101000010111
101100001011 => 011000010111
110001001011 => 100010010111
001111000011 => 011110000110
001110100011 => 011101000110
100101001011 => 001010010111
011001001011 => 110010010110
010110001011 => 101100010110
100100110011 => 001001100111
011000110011 => 110001100110
100011010011 => 000110100111
001110010011 => 011100100110
010011100011 => 100111000110
001101100011 => 011011000110
000110011110 => 001100111100
100110011100 => 001100111001
001010101110 => 010101011100
100110110010 => 001101100101
010010110110 => 100101101100
001110001101 => 011100011010
001011100101 => 010111001010
001100111001 => 011001110010
001011011001 => 010110110010
001100110110 => 011001101100
11100010000 => 11000100001
11100100000 => 11001000001
11101000000 => 11010000001
11111000001 => 11110000011
0010001000 => 0100010000
10100111101 => 01001111011
01110111111 => 11101111110
11111101010 => 11111010101
10101000000 => 01010000001
10110100000 => 01101000001
0001000101 => 0010001010
00000101010 => 00001010100
0000100011 => 0001000110
0001001011 => 0010010110
10100101111 => 01001011111
0000100010 => 0001000100
11111100101 => 11111001011
01011000000 => 10110000000
0101010000 => 1010100000
01011100000 => 10111000000
11011111111 => 10111111111
10010111101 => 00101111011
10111000001 => 01110000011
10111111001 => 01111110011
00000010100 => 00000101000
0000100100 => 0001001000
11111110100 => 11111101001
0010010011 => 0100100110
11001000000 => 10010000001
11101100000 => 11011000001
11011000000 => 10110000001
0001000111 => 0010001110
11010111111 => 10101111111
10010101001 => 00101010011
010010101101 => 100101011010
00001000100101 => 00010001001010
0000100010011 => 0001000100110
000010001001 => 000100010010
0000100010101 => 0001000101010
000010001010 => 000100010100
000010001011 => 000100010110
00001000111 => 00010001110
0000100100101 => 0001001001010
000010010010 => 000100100100
000010010011 => 000100100110
000010010101 => 000100101010
00001001010 => 00010010100
00001001011 => 00010010110
0000100101 => 0001001010
00001010101 => 00010101010
0000101011 => 0001010110
0001000100101 => 0010001001010
000100010010 => 001000100100
000100010011 => 001000100110
0001000100 => 0010001000
000100010101 => 001000101010
00010001011 => 00100010110
000100100101 => 001001001010
00010010011 => 00100100110
0001001001 => 0010010010
0001001010 => 0010010100
0010010010 => 0100100100
0010010101 => 0100101010
0100100010000 => 1001000100000
1100100010000 => 1001000100001
100100010000 => 001000100001
1010100010000 => 0101000100001
010100010000 => 101000100000
110100010000 => 101000100001
0100010000 => 1000100000
1010010010000 => 0100100100001
010010010000 => 100100100000
110010010000 => 100100100001
0010010000 => 0100100000
101010010000 => 010100100001
1010010001000 => 0100100010001
010010001000 => 100100010000
110010001000 => 100100010001
11010001000 => 10100010001
101001001000 => 010010010001
11001001000 => 10010010001
0101001000 => 1010010000
0100100100 => 1001001000
11010100000 => 10101000001
10100100000 => 01001000001
11011011010 => 10110110101
111011101010 => 110111010101
11110101010 => 11101010101
11110110101 => 11101101011
11110111010 => 11101110101
11110111011 => 11101110111
01011011011 => 10110110110
01010101111 => 10101011110
10101101111 => 01011011111
01011101111 => 10111011110
11011101111 => 10111011111
01100100000 => 11001000000
00010100000 => 00101000000
10101000001 => 01010000011
00010101010 => 00101010100
01010110000 => 10101100000
00101010000 => 01010100000
00100110000 => 01001100000
10100100001 => 01001000011
01010101000 => 10101010000
01101101010 => 11011010100
11011101010 => 10111010101
01011011010 => 10110110100
10111011010 => 01110110101
01101011010 => 11010110100
01110111010 => 11101110100
01010110110 => 10101101100
01101110110 => 11011101100
01011010110 => 10110101100
01101010110 => 11010101100
01110110110 => 11101101100
01011101110 => 10111011100
01101101110 => 11011011100
01010101101 => 10101011010
10110101101 => 01101011011
10101101101 => 01011011011
01011011101 => 10110111010
01101011101 => 11010111010
10101011101 => 01010111011
01010110101 => 10101101010
10110110101 => 01101101011
01101110101 => 11011101010
10101110101 => 01011101011
01011010101 => 10110101010
10111010101 => 01110101011
01101010101 => 11010101010
11011010101 => 10110101011
11010110101 => 10101101011
01011101101 => 10111011010
11010101101 => 10101011011
01010111011 => 10101110110
01101111011 => 11011110110
10101011011 => 01010110111
11011011011 => 10110110111
11010111011 => 10101110111
10101101011 => 01011010111
11011101011 => 10111010111
10110101011 => 01101010111
11010101011 => 10101010111
11101101011 => 11011010111
11101011011 => 11010110111
11010110111 => 10101101111
11011010111 => 10110101111
11101010111 => 11010101111
11110101111 => 11101011111
01000001010 => 10000010100
01010000010 => 10100000100
00000101000 => 00001010000
00001010100 => 00010101000
01010100000 => 10101000000
00000010000 => 00000100000
00101000000 => 01010000000
00001000000 => 00010000000
11101000001 => 11010000011
11010100001 => 10101000011
11011000001 => 10110000011
10101100001 => 01011000011
10110100001 => 01101000011
10010100001 => 00101000011
01011100001 => 10111000010
01001100001 => 10011000010
01101100001 => 11011000010
01100100001 => 11001000010
00100110001 => 01001100010
10101100000 => 01011000001
10010110000 => 00101100001
10011010000 => 00110100001
10011100000 => 00111000001
11011100000 => 10111000001
11001010000 => 10010100001
11001100000 => 10011000001
11110100000 => 11101000001
11111000000 => 11110000001
10100110000 => 01001100001
10011000000 => 00110000001
01001110000 => 10011100000
01001100000 => 10011000000
01101100000 => 11011000000
01110100000 => 11101000000
01111000000 => 11110000000
01101000000 => 11010000000
00101100000 => 01011000000
00110010000 => 01100100000
00110100000 => 01101000000
00111000000 => 01110000000
00011000000 => 00110000000
01010101011 => 10101010110
00100101011 => 01001010110
01001001011 => 10010010110
00101001011 => 01010010110
01010010011 => 10100100110
00100010011 => 01000100110
01001010011 => 10010100110
00101010011 => 01010100110
01000100011 => 10001000110
00100100011 => 01001000110
00101010101 => 01010101010
11001001010 => 10010010101
11010010010 => 10100100101
11001010010 => 10010100101
11000100010 => 10001000101
11010100100 => 10101001001
11001000100 => 10010001001
11010010100 => 10100101001
11001010100 => 10010101001
11000100100 => 10001001001
11101010101 => 11010101011
10101010111 => 01010101111
11110101011 => 11101010111
11111101011 => 11111010111
11010101111 => 10101011111
11111101111 => 11111011111
11110111111 => 11101111111
11111111111 => 11111111111
01111010101 => 11110101010
10011110101 => 00111101011
01011110101 => 10111101010
11100111101 => 11001111011
01010111101 => 10101111010
10011110111 => 00111101111
10101001111 => 01010011111
11101001111 => 11010011111
10111001111 => 01110011111
01111001111 => 11110011110
11100101111 => 11001011111
10010101111 => 00101011111
01110101111 => 11101011110
00111101111 => 01111011110
00101111111 => 01011111110
01011011111 => 10110111110
01101011111 => 11010111110
11110010101 => 11100101011
10111100101 => 01111001011
11110100101 => 11101001011
11110011101 => 11100111011
10101111001 => 01011110011
11101111001 => 11011110011
10111101001 => 01111010011
11110101001 => 11101010011
11110010111 => 11100101111
10111100111 => 01111001111
11110100111 => 11101001111
10111101010 => 01111010101
11111011010 => 11110110101
11111010110 => 11110101101
11110111100 => 11101111001
111111111111 => 111111111111
101011111111 => 010111111111
111010111111 => 110101111111
101110111111 => 011101111111
100100111111 => 001001111111
111110101111 => 111101011111
101010101111 => 010101011111
111011101111 => 110111011111
101111101111 => 011111011111
100101101111 => 001011011111
111001001111 => 110010011111
101101001111 => 011010011111
111111101011 => 111111010111
101011101011 => 010111010111
111010101011 => 110101010111
101110101011 => 011101010111
111110111011 => 111101110111
101010111011 => 010101110111
111011111011 => 110111110111
101111111011 => 011111110111
111001011011 => 110010110111
111110010011 => 111100100111
111011010011 => 110110100111
111111111010 => 111111110101
101011111010 => 010111110101
111010111010 => 110101110101
101110111010 => 011101110101
111110101010 => 111101010101
101111101010 => 011111010101
111010101110 => 110101011101
101110101110 => 011101011101
111110010110 => 111100101101
101111010110 => 011110101101
101101110110 => 011011101101
101100100110 => 011001001101
100110100110 => 001101001101
111111100100 => 111111001001
111110110100 => 111101101001
101111110100 => 011111101001
100010010100 => 000100101001
101111011100 => 011110111001
100101011100 => 001010111001
101101111100 => 011011111001
100111111100 => 001111111001
100110101100 => 001101011001
100101001000 => 001010010001
100010101000 => 000101010001
100001011000 => 000010110001
101100010000 => 011000100001
100110010000 => 001100100001
100011010000 => 000110100001
100001110000 => 000011100001
100110110100 => 001101101001
000010111110 => 000101111100
000110101110 => 001101011100
001010011110 => 010100111100
010010011110 => 100100111100
100100111100 => 001001111001
101100011100 => 011000111001
110100011100 => 101000111001
000100111110 => 001001111100
001100101110 => 011001011100
001100011110 => 011000111100
010100011110 => 101000111100
111000011010 => 110000110101
101000111100 => 010001111001
111000011100 => 110000111001
011000111010 => 110001110100
001000111110 => 010001111100
110000110110 => 100001101101
110000111010 => 100001110101
110000111100 => 100001111001
001101101001 => 011011010010
011010010011 => 110100100110
100100101101 => 001001011011
100000111011 => 000001110111
100100011011 => 001000110111
100000110111 => 000001101111
100000101111 => 000001011111
100000011111 => 000000111111
100100010111 => 001000101111
100100001111 => 001000011111
101100010011 => 011000100111
101100000111 => 011000001111
101110000011 => 011100000111
110000011011 => 100000110111
110000010111 => 100000101111
110000001111 => 100000011111
110100010011 => 101000100111
110100000111 => 101000001111
110110000011 => 101100000111
111000010011 => 110000100111
111000000111 => 110000001111
111010000011 => 110100000111
111100000011 => 111000000111
010011101001 => 100111010010
100110010110 => 001100101101
100101100110 => 001011001101
011010001110 => 110100011100
010101001110 => 101010011100
010100110110 => 101001101100
010100101110 => 101001011100
010011010110 => 100110101100
010011001110 => 100110011100
010010101110 => 100101011100
001110100110 => 011101001100
001101010110 => 011010101100
101010100011 => 010101000111
101001100011 => 010011000111
101000111001 => 010001110011
100101001101 => 001010011011
100101000111 => 001010001111
100100110101 => 001001101011
100011010101 => 000110101011
100011001101 => 000110011011
100011001011 => 000110010111
100011000111 => 000110001111
100010110101 => 000101101011
100010101101 => 000101011011
100010101011 => 000101010111
100010100111 => 000101001111
100001110101 => 000011101011
100001110011 => 000011100111
100001101101 => 000011011011
100001101011 => 000011010111
100001100111 => 000011001111
100001011101 => 000010111011
100001011011 => 000010110111
100001010111 => 000010101111
100001001111 => 000010011111
010011011001 => 100110110010
010001111001 => 100011110010
001110010101 => 011100101010
001111000101 => 011110001010
001101100101 => 011011001010
001110001011 => 011100010110
011001010011 => 110010100110
110001010011 => 100010100111
010110010011 => 101100100110
001011100011 => 010111000110
010101100011 => 101011000110
011001100011 => 110011000110
110001100011 => 100011000111
010110100011 => 101101000110
011010100011 => 110101000110
110010100011 => 100101000111
010111000011 => 101110000110
100111000011 => 001110000111
011011000011 => 110110000110
101011000011 => 010110000111
110011000011 => 100110000111
011101000011 => 111010000110
101101000011 => 011010000111
110101000011 => 101010000111
111001000011 => 110010000111
111111010010010010010010 => 111110100100100100100101
111110100100100100110100 => 111101001001001001101001
111110100100100110100010 => 111101001001001101000101
111101001001001110100100 => 111010010010011101001001
111101001001001101101000 => 111010010010011011010001
111110100100110100010010 => 111101001001101000100101
111101001001101000110100 => 111010010011010001101001
111101001001110100100010 => 111010010011101001000101
111010010011110100100100 => 110100100111101001001001
111010010011101001101000 => 110100100111010011010001
111101001001101101000010 => 111010010011011010000101
111010010011101101000100 => 110100100111011010001001
111010010011011101001000 => 110100100110111010010001
111010010011011011010000 => 110100100110110110100001
111110100110100010010010 => 111101001101000100100101
111101001101000100110100 => 111010011010001001101001
111101001101000110100010 => 111010011010001101000101
111010011010001110100100 => 110100110100011101001001
111010011010001101101000 => 110100110100011011010001
111101001110100100010010 => 111010011101001000100101
111010011101001000110100 => 110100111010010001101001
111010011110100100100010 => 110100111101001001000101
110100111110100100100100 => 101001111101001001001001
110100111101001001101000 => 101001111010010011010001
111010011101001101000010 => 110100111010011010000101
110100111101001101000100 => 101001111010011010001001
110100111010011101001000 => 101001110100111010010001
110100111010011011010000 => 101001110100110110100001
111101001101101000010010 => 111010011011010000100101
111010011011010000110100 => 110100110110100001101001
111010011101101000100010 => 110100111011010001000101
110100111101101000100100 => 101001111011010001001001
110100111011010001101000 => 101001110110100011010001
111010011011101001000010 => 110100110111010010000101
110100111011101001000100 => 101001110111010010001001
110100110111101001001000 => 101001101111010010010001
110100110111010011010000 => 101001101110100110100001
111010011011011010000010 => 110100110110110100000101
110100111011011010000100 => 101001110110110100001001
110100110111011010001000 => 101001101110110100010001
110100110110111010010000 => 101001101101110100100001
110100110110110110100000 => 101001101101101101000001
111110110100010010010010 => 111101101000100100100101
111101101000100100110100 => 111011010001001001101001
111101101000100110100010 => 111011010001001101000101
111011010001001110100100 => 110110100010011101001001
111011010001001101101000 => 110110100010011011010001
111101101000110100010010 => 111011010001101000100101
111011010001101000110100 => 110110100011010001101001
111011010001110100100010 => 110110100011101001000101
110110100011110100100100 => 101101000111101001001001
110110100011101001101000 => 101101000111010011010001
111011010001101101000010 => 110110100011011010000101
110110100011101101000100 => 101101000111011010001001
110110100011011101001000 => 101101000110111010010001
110110100011011011010000 => 101101000110110110100001
111101110100100010010010 => 111011101001000100100101
111011101001000100110100 => 110111010010001001101001
111011101001000110100010 => 110111010010001101000101
110111010010001110100100 => 101110100100011101001001
110111010010001101101000 => 101110100100011011010001
111011110100100100010010 => 110111101001001000100101
110111101001001000110100 => 101111010010010001101001
110111110100100100100010 => 101111101001001001000101
101111110100100100100100 => 011111101001001001001001
101111101001001001101000 => 011111010010010011010001
110111101001001101000010 => 101111010010011010000101
101111101001001101000100 => 011111010010011010001001
101111010010011101001000 => 011110100100111010010001
101111010010011011010000 => 011110100100110110100001
111011101001101000010010 => 110111010011010000100101
110111010011010000110100 => 101110100110100001101001
110111101001101000100010 => 101111010011010001000101
101111101001101000100100 => 011111010011010001001001
101111010011010001101000 => 011110100110100011010001
110111010011101001000010 => 101110100111010010000101
101111010011101001000100 => 011110100111010010001001
101110100111101001001000 => 011101001111010010010001
101110100111010011010000 => 011101001110100110100001
110111010011011010000010 => 101110100110110100000101
101111010011011010000100 => 011110100110110100001001
101110100111011010001000 => 011101001110110100010001
101110100110111010010000 => 011101001101110100100001
101110100110110110100000 => 011101001101101101000001
111101101101000010010010 => 111011011010000100100101
111011011010000100110100 => 110110110100001001101001
111011011010000110100010 => 110110110100001101000101
110110110100001110100100 => 101101101000011101001001
110110110100001101101000 => 101101101000011011010001
111011101101000100010010 => 110111011010001000100101
110111011010001000110100 => 101110110100010001101001
110111101101000100100010 => 101111011010001001000101
101111101101000100100100 => 011111011010001001001001
101111011010001001101000 => 011110110100010011010001
110111011010001101000010 => 101110110100011010000101
101111011010001101000100 => 011110110100011010001001
101110110100011101001000 => 011101101000111010010001
101110110100011011010000 => 011101101000110110100001
111011011101001000010010 => 110110111010010000100101
110110111010010000110100 => 101101110100100001101001
110111011101001000100010 => 101110111010010001000101
101111011101001000100100 => 011110111010010001001001
101110111010010001101000 => 011101110100100011010001
110110111101001001000010 => 101101111010010010000101
101110111101001001000100 => 011101111010010010001001
101101111101001001001000 => 011011111010010010010001
101101111010010011010000 => 011011110100100110100001
110110111010011010000010 => 101101110100110100000101
101110111010011010000100 => 011101110100110100001001
101101111010011010001000 => 011011110100110100010001
101101110100111010010000 => 011011101001110100100001
101101110100110110100000 => 011011101001101101000001
111011011011010000010010 => 110110110110100000100101
110110110110100000110100 => 101101101101000001101001
110111011011010000100010 => 101110110110100001000101
101111011011010000100100 => 011110110110100001001001
101110110110100001101000 => 011101101101000011010001
110110111011010001000010 => 101101110110100010000101
101110111011010001000100 => 011101110110100010001001
101101111011010001001000 => 011011110110100010010001
101101110110100011010000 => 011011101101000110100001
110110110111010010000010 => 101101101110100100000101
101110110111010010000100 => 011101101110100100001001
101101110111010010001000 => 011011101110100100010001
101101101111010010010000 => 011011011110100100100001
101101101110100110100000 => 011011011101001101000001
110110110110110100000010 => 101101101101101000000101
101110110110110100000100 => 011101101101101000001001
101101110110110100001000 => 011011101101101000010001
101101101110110100010000 => 011011011101101000100001
101101101101110100100000 => 011011011011101001000001
101101101101101101000000 => 011011011011011010000001
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Description
The rotation of a binary word, first letter last.
This is the word obtained by moving the first letter to the end.
Properties
bijective, graded
Sage code
def mapping(w):
    return Word([int(l) for l in w[1:]] + [int(w[0])], [0,1])
Created
Jan 29, 2020 at 13:27 by FindStatCrew
Updated
Jan 29, 2020 at 13:27 by Martin Rubey