Identifier
Mp00096:
Binary words
—Foata bijection⟶
Binary words
Mp00105: Binary words —complement⟶ Binary words
Mp00136: Binary words —rotate back-to-front⟶ Binary words
Mp00105: Binary words —complement⟶ Binary words
Mp00136: Binary words —rotate back-to-front⟶ Binary words
Images
0 => 0 => 1 => 1
1 => 1 => 0 => 0
00 => 00 => 11 => 11
01 => 01 => 10 => 01
10 => 10 => 01 => 10
11 => 11 => 00 => 00
000 => 000 => 111 => 111
001 => 001 => 110 => 011
010 => 100 => 011 => 101
011 => 011 => 100 => 010
100 => 010 => 101 => 110
101 => 101 => 010 => 001
110 => 110 => 001 => 100
111 => 111 => 000 => 000
0000 => 0000 => 1111 => 1111
0001 => 0001 => 1110 => 0111
0010 => 1000 => 0111 => 1011
0011 => 0011 => 1100 => 0110
0100 => 0100 => 1011 => 1101
0101 => 1001 => 0110 => 0011
0110 => 1010 => 0101 => 1010
0111 => 0111 => 1000 => 0100
1000 => 0010 => 1101 => 1110
1001 => 0101 => 1010 => 0101
1010 => 1100 => 0011 => 1001
1011 => 1011 => 0100 => 0010
1100 => 0110 => 1001 => 1100
1101 => 1101 => 0010 => 0001
1110 => 1110 => 0001 => 1000
1111 => 1111 => 0000 => 0000
00000 => 00000 => 11111 => 11111
00001 => 00001 => 11110 => 01111
00010 => 10000 => 01111 => 10111
00011 => 00011 => 11100 => 01110
00100 => 01000 => 10111 => 11011
00101 => 10001 => 01110 => 00111
00110 => 10010 => 01101 => 10110
00111 => 00111 => 11000 => 01100
01000 => 00100 => 11011 => 11101
01001 => 01001 => 10110 => 01011
01010 => 11000 => 00111 => 10011
01011 => 10011 => 01100 => 00110
01100 => 01010 => 10101 => 11010
01101 => 10101 => 01010 => 00101
01110 => 10110 => 01001 => 10100
01111 => 01111 => 10000 => 01000
10000 => 00010 => 11101 => 11110
10001 => 00101 => 11010 => 01101
10010 => 10100 => 01011 => 10101
10011 => 01011 => 10100 => 01010
10100 => 01100 => 10011 => 11001
10101 => 11001 => 00110 => 00011
10110 => 11010 => 00101 => 10010
10111 => 10111 => 01000 => 00100
11000 => 00110 => 11001 => 11100
11001 => 01101 => 10010 => 01001
11010 => 11100 => 00011 => 10001
11011 => 11011 => 00100 => 00010
11100 => 01110 => 10001 => 11000
11101 => 11101 => 00010 => 00001
11110 => 11110 => 00001 => 10000
11111 => 11111 => 00000 => 00000
000000 => 000000 => 111111 => 111111
000001 => 000001 => 111110 => 011111
000010 => 100000 => 011111 => 101111
000011 => 000011 => 111100 => 011110
000100 => 010000 => 101111 => 110111
000101 => 100001 => 011110 => 001111
000110 => 100010 => 011101 => 101110
000111 => 000111 => 111000 => 011100
001000 => 001000 => 110111 => 111011
001001 => 010001 => 101110 => 010111
001010 => 110000 => 001111 => 100111
001011 => 100011 => 011100 => 001110
001100 => 010010 => 101101 => 110110
001101 => 100101 => 011010 => 001101
001110 => 100110 => 011001 => 101100
001111 => 001111 => 110000 => 011000
010000 => 000100 => 111011 => 111101
010001 => 001001 => 110110 => 011011
010010 => 101000 => 010111 => 101011
010011 => 010011 => 101100 => 010110
010100 => 011000 => 100111 => 110011
010101 => 110001 => 001110 => 000111
010110 => 110010 => 001101 => 100110
010111 => 100111 => 011000 => 001100
011000 => 001010 => 110101 => 111010
011001 => 010101 => 101010 => 010101
011010 => 110100 => 001011 => 100101
011011 => 101011 => 010100 => 001010
011100 => 010110 => 101001 => 110100
011101 => 101101 => 010010 => 001001
011110 => 101110 => 010001 => 101000
011111 => 011111 => 100000 => 010000
100000 => 000010 => 111101 => 111110
100001 => 000101 => 111010 => 011101
100010 => 100100 => 011011 => 101101
100011 => 001011 => 110100 => 011010
100100 => 010100 => 101011 => 110101
100101 => 101001 => 010110 => 001011
100110 => 101010 => 010101 => 101010
>>> Load all 3050 entries. <<<
100111 => 010111 => 101000 => 010100
101000 => 001100 => 110011 => 111001
101001 => 011001 => 100110 => 010011
101010 => 111000 => 000111 => 100011
101011 => 110011 => 001100 => 000110
101100 => 011010 => 100101 => 110010
101101 => 110101 => 001010 => 000101
101110 => 110110 => 001001 => 100100
101111 => 101111 => 010000 => 001000
110000 => 000110 => 111001 => 111100
110001 => 001101 => 110010 => 011001
110010 => 101100 => 010011 => 101001
110011 => 011011 => 100100 => 010010
110100 => 011100 => 100011 => 110001
110101 => 111001 => 000110 => 000011
110110 => 111010 => 000101 => 100010
110111 => 110111 => 001000 => 000100
111000 => 001110 => 110001 => 111000
111001 => 011101 => 100010 => 010001
111010 => 111100 => 000011 => 100001
111011 => 111011 => 000100 => 000010
111100 => 011110 => 100001 => 110000
111101 => 111101 => 000010 => 000001
111110 => 111110 => 000001 => 100000
111111 => 111111 => 000000 => 000000
0000000 => 0000000 => 1111111 => 1111111
0000001 => 0000001 => 1111110 => 0111111
0000010 => 1000000 => 0111111 => 1011111
0000011 => 0000011 => 1111100 => 0111110
0000100 => 0100000 => 1011111 => 1101111
0000101 => 1000001 => 0111110 => 0011111
0000110 => 1000010 => 0111101 => 1011110
0000111 => 0000111 => 1111000 => 0111100
0001000 => 0010000 => 1101111 => 1110111
0001001 => 0100001 => 1011110 => 0101111
0001010 => 1100000 => 0011111 => 1001111
0001011 => 1000011 => 0111100 => 0011110
0001100 => 0100010 => 1011101 => 1101110
0001101 => 1000101 => 0111010 => 0011101
0001110 => 1000110 => 0111001 => 1011100
0001111 => 0001111 => 1110000 => 0111000
0010000 => 0001000 => 1110111 => 1111011
0010001 => 0010001 => 1101110 => 0110111
0010010 => 1010000 => 0101111 => 1010111
0010011 => 0100011 => 1011100 => 0101110
0010100 => 0110000 => 1001111 => 1100111
0010101 => 1100001 => 0011110 => 0001111
0010110 => 1100010 => 0011101 => 1001110
0010111 => 1000111 => 0111000 => 0011100
0011000 => 0010010 => 1101101 => 1110110
0011001 => 0100101 => 1011010 => 0101101
0011010 => 1100100 => 0011011 => 1001101
0011011 => 1001011 => 0110100 => 0011010
0011100 => 0100110 => 1011001 => 1101100
0011101 => 1001101 => 0110010 => 0011001
0011110 => 1001110 => 0110001 => 1011000
0011111 => 0011111 => 1100000 => 0110000
0100000 => 0000100 => 1111011 => 1111101
0100001 => 0001001 => 1110110 => 0111011
0100010 => 1001000 => 0110111 => 1011011
0100011 => 0010011 => 1101100 => 0110110
0100100 => 0101000 => 1010111 => 1101011
0100101 => 1010001 => 0101110 => 0010111
0100110 => 1010010 => 0101101 => 1010110
0100111 => 0100111 => 1011000 => 0101100
0101000 => 0011000 => 1100111 => 1110011
0101001 => 0110001 => 1001110 => 0100111
0101010 => 1110000 => 0001111 => 1000111
0101011 => 1100011 => 0011100 => 0001110
0101100 => 0110010 => 1001101 => 1100110
0101101 => 1100101 => 0011010 => 0001101
0101110 => 1100110 => 0011001 => 1001100
0101111 => 1001111 => 0110000 => 0011000
0110000 => 0001010 => 1110101 => 1111010
0110001 => 0010101 => 1101010 => 0110101
0110010 => 1010100 => 0101011 => 1010101
0110011 => 0101011 => 1010100 => 0101010
0110100 => 0110100 => 1001011 => 1100101
0110101 => 1101001 => 0010110 => 0001011
0110110 => 1101010 => 0010101 => 1001010
0110111 => 1010111 => 0101000 => 0010100
0111000 => 0010110 => 1101001 => 1110100
0111001 => 0101101 => 1010010 => 0101001
0111010 => 1101100 => 0010011 => 1001001
0111011 => 1011011 => 0100100 => 0010010
0111100 => 0101110 => 1010001 => 1101000
0111101 => 1011101 => 0100010 => 0010001
0111110 => 1011110 => 0100001 => 1010000
0111111 => 0111111 => 1000000 => 0100000
1000000 => 0000010 => 1111101 => 1111110
1000001 => 0000101 => 1111010 => 0111101
1000010 => 1000100 => 0111011 => 1011101
1000011 => 0001011 => 1110100 => 0111010
1000100 => 0100100 => 1011011 => 1101101
1000101 => 1001001 => 0110110 => 0011011
1000110 => 1001010 => 0110101 => 1011010
1000111 => 0010111 => 1101000 => 0110100
1001000 => 0010100 => 1101011 => 1110101
1001001 => 0101001 => 1010110 => 0101011
1001010 => 1101000 => 0010111 => 1001011
1001011 => 1010011 => 0101100 => 0010110
1001100 => 0101010 => 1010101 => 1101010
1001101 => 1010101 => 0101010 => 0010101
1001110 => 1010110 => 0101001 => 1010100
1001111 => 0101111 => 1010000 => 0101000
1010000 => 0001100 => 1110011 => 1111001
1010001 => 0011001 => 1100110 => 0110011
1010010 => 1011000 => 0100111 => 1010011
1010011 => 0110011 => 1001100 => 0100110
1010100 => 0111000 => 1000111 => 1100011
1010101 => 1110001 => 0001110 => 0000111
1010110 => 1110010 => 0001101 => 1000110
1010111 => 1100111 => 0011000 => 0001100
1011000 => 0011010 => 1100101 => 1110010
1011001 => 0110101 => 1001010 => 0100101
1011010 => 1110100 => 0001011 => 1000101
1011011 => 1101011 => 0010100 => 0001010
1011100 => 0110110 => 1001001 => 1100100
1011101 => 1101101 => 0010010 => 0001001
1011110 => 1101110 => 0010001 => 1001000
1011111 => 1011111 => 0100000 => 0010000
1100000 => 0000110 => 1111001 => 1111100
1100001 => 0001101 => 1110010 => 0111001
1100010 => 1001100 => 0110011 => 1011001
1100011 => 0011011 => 1100100 => 0110010
1100100 => 0101100 => 1010011 => 1101001
1100101 => 1011001 => 0100110 => 0010011
1100110 => 1011010 => 0100101 => 1010010
1100111 => 0110111 => 1001000 => 0100100
1101000 => 0011100 => 1100011 => 1110001
1101001 => 0111001 => 1000110 => 0100011
1101010 => 1111000 => 0000111 => 1000011
1101011 => 1110011 => 0001100 => 0000110
1101100 => 0111010 => 1000101 => 1100010
1101101 => 1110101 => 0001010 => 0000101
1101110 => 1110110 => 0001001 => 1000100
1101111 => 1101111 => 0010000 => 0001000
1110000 => 0001110 => 1110001 => 1111000
1110001 => 0011101 => 1100010 => 0110001
1110010 => 1011100 => 0100011 => 1010001
1110011 => 0111011 => 1000100 => 0100010
1110100 => 0111100 => 1000011 => 1100001
1110101 => 1111001 => 0000110 => 0000011
1110110 => 1111010 => 0000101 => 1000010
1110111 => 1110111 => 0001000 => 0000100
1111000 => 0011110 => 1100001 => 1110000
1111001 => 0111101 => 1000010 => 0100001
1111010 => 1111100 => 0000011 => 1000001
1111011 => 1111011 => 0000100 => 0000010
1111100 => 0111110 => 1000001 => 1100000
1111101 => 1111101 => 0000010 => 0000001
1111110 => 1111110 => 0000001 => 1000000
1111111 => 1111111 => 0000000 => 0000000
00000000 => 00000000 => 11111111 => 11111111
00000001 => 00000001 => 11111110 => 01111111
00000010 => 10000000 => 01111111 => 10111111
00000011 => 00000011 => 11111100 => 01111110
00000100 => 01000000 => 10111111 => 11011111
00000101 => 10000001 => 01111110 => 00111111
00000110 => 10000010 => 01111101 => 10111110
00000111 => 00000111 => 11111000 => 01111100
00001000 => 00100000 => 11011111 => 11101111
00001001 => 01000001 => 10111110 => 01011111
00001010 => 11000000 => 00111111 => 10011111
00001011 => 10000011 => 01111100 => 00111110
00001100 => 01000010 => 10111101 => 11011110
00001101 => 10000101 => 01111010 => 00111101
00001110 => 10000110 => 01111001 => 10111100
00001111 => 00001111 => 11110000 => 01111000
00010000 => 00010000 => 11101111 => 11110111
00010001 => 00100001 => 11011110 => 01101111
00010010 => 10100000 => 01011111 => 10101111
00010011 => 01000011 => 10111100 => 01011110
00010100 => 01100000 => 10011111 => 11001111
00010101 => 11000001 => 00111110 => 00011111
00010110 => 11000010 => 00111101 => 10011110
00010111 => 10000111 => 01111000 => 00111100
00011000 => 00100010 => 11011101 => 11101110
00011001 => 01000101 => 10111010 => 01011101
00011010 => 11000100 => 00111011 => 10011101
00011011 => 10001011 => 01110100 => 00111010
00011100 => 01000110 => 10111001 => 11011100
00011101 => 10001101 => 01110010 => 00111001
00011110 => 10001110 => 01110001 => 10111000
00011111 => 00011111 => 11100000 => 01110000
00100000 => 00001000 => 11110111 => 11111011
00100001 => 00010001 => 11101110 => 01110111
00100010 => 10010000 => 01101111 => 10110111
00100011 => 00100011 => 11011100 => 01101110
00100100 => 01010000 => 10101111 => 11010111
00100101 => 10100001 => 01011110 => 00101111
00100110 => 10100010 => 01011101 => 10101110
00100111 => 01000111 => 10111000 => 01011100
00101000 => 00110000 => 11001111 => 11100111
00101001 => 01100001 => 10011110 => 01001111
00101010 => 11100000 => 00011111 => 10001111
00101011 => 11000011 => 00111100 => 00011110
00101100 => 01100010 => 10011101 => 11001110
00101101 => 11000101 => 00111010 => 00011101
00101110 => 11000110 => 00111001 => 10011100
00101111 => 10001111 => 01110000 => 00111000
00110000 => 00010010 => 11101101 => 11110110
00110001 => 00100101 => 11011010 => 01101101
00110010 => 10100100 => 01011011 => 10101101
00110011 => 01001011 => 10110100 => 01011010
00110100 => 01100100 => 10011011 => 11001101
00110101 => 11001001 => 00110110 => 00011011
00110110 => 11001010 => 00110101 => 10011010
00110111 => 10010111 => 01101000 => 00110100
00111000 => 00100110 => 11011001 => 11101100
00111001 => 01001101 => 10110010 => 01011001
00111010 => 11001100 => 00110011 => 10011001
00111011 => 10011011 => 01100100 => 00110010
00111100 => 01001110 => 10110001 => 11011000
00111101 => 10011101 => 01100010 => 00110001
00111110 => 10011110 => 01100001 => 10110000
00111111 => 00111111 => 11000000 => 01100000
01000000 => 00000100 => 11111011 => 11111101
01000001 => 00001001 => 11110110 => 01111011
01000010 => 10001000 => 01110111 => 10111011
01000011 => 00010011 => 11101100 => 01110110
01000100 => 01001000 => 10110111 => 11011011
01000101 => 10010001 => 01101110 => 00110111
01000110 => 10010010 => 01101101 => 10110110
01000111 => 00100111 => 11011000 => 01101100
01001000 => 00101000 => 11010111 => 11101011
01001001 => 01010001 => 10101110 => 01010111
01001010 => 11010000 => 00101111 => 10010111
01001011 => 10100011 => 01011100 => 00101110
01001100 => 01010010 => 10101101 => 11010110
01001101 => 10100101 => 01011010 => 00101101
01001110 => 10100110 => 01011001 => 10101100
01001111 => 01001111 => 10110000 => 01011000
01010000 => 00011000 => 11100111 => 11110011
01010001 => 00110001 => 11001110 => 01100111
01010010 => 10110000 => 01001111 => 10100111
01010011 => 01100011 => 10011100 => 01001110
01010100 => 01110000 => 10001111 => 11000111
01010101 => 11100001 => 00011110 => 00001111
01010110 => 11100010 => 00011101 => 10001110
01010111 => 11000111 => 00111000 => 00011100
01011000 => 00110010 => 11001101 => 11100110
01011001 => 01100101 => 10011010 => 01001101
01011010 => 11100100 => 00011011 => 10001101
01011011 => 11001011 => 00110100 => 00011010
01011100 => 01100110 => 10011001 => 11001100
01011101 => 11001101 => 00110010 => 00011001
01011110 => 11001110 => 00110001 => 10011000
01011111 => 10011111 => 01100000 => 00110000
01100000 => 00001010 => 11110101 => 11111010
01100001 => 00010101 => 11101010 => 01110101
01100010 => 10010100 => 01101011 => 10110101
01100011 => 00101011 => 11010100 => 01101010
01100100 => 01010100 => 10101011 => 11010101
01100101 => 10101001 => 01010110 => 00101011
01100110 => 10101010 => 01010101 => 10101010
01100111 => 01010111 => 10101000 => 01010100
01101000 => 00110100 => 11001011 => 11100101
01101001 => 01101001 => 10010110 => 01001011
01101010 => 11101000 => 00010111 => 10001011
01101011 => 11010011 => 00101100 => 00010110
01101100 => 01101010 => 10010101 => 11001010
01101101 => 11010101 => 00101010 => 00010101
01101110 => 11010110 => 00101001 => 10010100
01101111 => 10101111 => 01010000 => 00101000
01110000 => 00010110 => 11101001 => 11110100
01110001 => 00101101 => 11010010 => 01101001
01110010 => 10101100 => 01010011 => 10101001
01110011 => 01011011 => 10100100 => 01010010
01110100 => 01101100 => 10010011 => 11001001
01110101 => 11011001 => 00100110 => 00010011
01110110 => 11011010 => 00100101 => 10010010
01110111 => 10110111 => 01001000 => 00100100
01111000 => 00101110 => 11010001 => 11101000
01111001 => 01011101 => 10100010 => 01010001
01111010 => 11011100 => 00100011 => 10010001
01111011 => 10111011 => 01000100 => 00100010
01111100 => 01011110 => 10100001 => 11010000
01111101 => 10111101 => 01000010 => 00100001
01111110 => 10111110 => 01000001 => 10100000
01111111 => 01111111 => 10000000 => 01000000
10000000 => 00000010 => 11111101 => 11111110
10000001 => 00000101 => 11111010 => 01111101
10000010 => 10000100 => 01111011 => 10111101
10000011 => 00001011 => 11110100 => 01111010
10000100 => 01000100 => 10111011 => 11011101
10000101 => 10001001 => 01110110 => 00111011
10000110 => 10001010 => 01110101 => 10111010
10000111 => 00010111 => 11101000 => 01110100
10001000 => 00100100 => 11011011 => 11101101
10001001 => 01001001 => 10110110 => 01011011
10001010 => 11001000 => 00110111 => 10011011
10001011 => 10010011 => 01101100 => 00110110
10001100 => 01001010 => 10110101 => 11011010
10001101 => 10010101 => 01101010 => 00110101
10001110 => 10010110 => 01101001 => 10110100
10001111 => 00101111 => 11010000 => 01101000
10010000 => 00010100 => 11101011 => 11110101
10010001 => 00101001 => 11010110 => 01101011
10010010 => 10101000 => 01010111 => 10101011
10010011 => 01010011 => 10101100 => 01010110
10010100 => 01101000 => 10010111 => 11001011
10010101 => 11010001 => 00101110 => 00010111
10010110 => 11010010 => 00101101 => 10010110
10010111 => 10100111 => 01011000 => 00101100
10011000 => 00101010 => 11010101 => 11101010
10011001 => 01010101 => 10101010 => 01010101
10011010 => 11010100 => 00101011 => 10010101
10011011 => 10101011 => 01010100 => 00101010
10011100 => 01010110 => 10101001 => 11010100
10011101 => 10101101 => 01010010 => 00101001
10011110 => 10101110 => 01010001 => 10101000
10011111 => 01011111 => 10100000 => 01010000
10100000 => 00001100 => 11110011 => 11111001
10100001 => 00011001 => 11100110 => 01110011
10100010 => 10011000 => 01100111 => 10110011
10100011 => 00110011 => 11001100 => 01100110
10100100 => 01011000 => 10100111 => 11010011
10100101 => 10110001 => 01001110 => 00100111
10100110 => 10110010 => 01001101 => 10100110
10100111 => 01100111 => 10011000 => 01001100
10101000 => 00111000 => 11000111 => 11100011
10101001 => 01110001 => 10001110 => 01000111
10101010 => 11110000 => 00001111 => 10000111
10101011 => 11100011 => 00011100 => 00001110
10101100 => 01110010 => 10001101 => 11000110
10101101 => 11100101 => 00011010 => 00001101
10101110 => 11100110 => 00011001 => 10001100
10101111 => 11001111 => 00110000 => 00011000
10110000 => 00011010 => 11100101 => 11110010
10110001 => 00110101 => 11001010 => 01100101
10110010 => 10110100 => 01001011 => 10100101
10110011 => 01101011 => 10010100 => 01001010
10110100 => 01110100 => 10001011 => 11000101
10110101 => 11101001 => 00010110 => 00001011
10110110 => 11101010 => 00010101 => 10001010
10110111 => 11010111 => 00101000 => 00010100
10111000 => 00110110 => 11001001 => 11100100
10111001 => 01101101 => 10010010 => 01001001
10111010 => 11101100 => 00010011 => 10001001
10111011 => 11011011 => 00100100 => 00010010
10111100 => 01101110 => 10010001 => 11001000
10111101 => 11011101 => 00100010 => 00010001
10111110 => 11011110 => 00100001 => 10010000
10111111 => 10111111 => 01000000 => 00100000
11000000 => 00000110 => 11111001 => 11111100
11000001 => 00001101 => 11110010 => 01111001
11000010 => 10001100 => 01110011 => 10111001
11000011 => 00011011 => 11100100 => 01110010
11000100 => 01001100 => 10110011 => 11011001
11000101 => 10011001 => 01100110 => 00110011
11000110 => 10011010 => 01100101 => 10110010
11000111 => 00110111 => 11001000 => 01100100
11001000 => 00101100 => 11010011 => 11101001
11001001 => 01011001 => 10100110 => 01010011
11001010 => 11011000 => 00100111 => 10010011
11001011 => 10110011 => 01001100 => 00100110
11001100 => 01011010 => 10100101 => 11010010
11001101 => 10110101 => 01001010 => 00100101
11001110 => 10110110 => 01001001 => 10100100
11001111 => 01101111 => 10010000 => 01001000
11010000 => 00011100 => 11100011 => 11110001
11010001 => 00111001 => 11000110 => 01100011
11010010 => 10111000 => 01000111 => 10100011
11010011 => 01110011 => 10001100 => 01000110
11010100 => 01111000 => 10000111 => 11000011
11010101 => 11110001 => 00001110 => 00000111
11010110 => 11110010 => 00001101 => 10000110
11010111 => 11100111 => 00011000 => 00001100
11011000 => 00111010 => 11000101 => 11100010
11011001 => 01110101 => 10001010 => 01000101
11011010 => 11110100 => 00001011 => 10000101
11011011 => 11101011 => 00010100 => 00001010
11011100 => 01110110 => 10001001 => 11000100
11011101 => 11101101 => 00010010 => 00001001
11011110 => 11101110 => 00010001 => 10001000
11011111 => 11011111 => 00100000 => 00010000
11100000 => 00001110 => 11110001 => 11111000
11100001 => 00011101 => 11100010 => 01110001
11100010 => 10011100 => 01100011 => 10110001
11100011 => 00111011 => 11000100 => 01100010
11100100 => 01011100 => 10100011 => 11010001
11100101 => 10111001 => 01000110 => 00100011
11100110 => 10111010 => 01000101 => 10100010
11100111 => 01110111 => 10001000 => 01000100
11101000 => 00111100 => 11000011 => 11100001
11101001 => 01111001 => 10000110 => 01000011
11101010 => 11111000 => 00000111 => 10000011
11101011 => 11110011 => 00001100 => 00000110
11101100 => 01111010 => 10000101 => 11000010
11101101 => 11110101 => 00001010 => 00000101
11101110 => 11110110 => 00001001 => 10000100
11101111 => 11101111 => 00010000 => 00001000
11110000 => 00011110 => 11100001 => 11110000
11110001 => 00111101 => 11000010 => 01100001
11110010 => 10111100 => 01000011 => 10100001
11110011 => 01111011 => 10000100 => 01000010
11110100 => 01111100 => 10000011 => 11000001
11110101 => 11111001 => 00000110 => 00000011
11110110 => 11111010 => 00000101 => 10000010
11110111 => 11110111 => 00001000 => 00000100
11111000 => 00111110 => 11000001 => 11100000
11111001 => 01111101 => 10000010 => 01000001
11111010 => 11111100 => 00000011 => 10000001
11111011 => 11111011 => 00000100 => 00000010
11111100 => 01111110 => 10000001 => 11000000
11111101 => 11111101 => 00000010 => 00000001
11111110 => 11111110 => 00000001 => 10000000
11111111 => 11111111 => 00000000 => 00000000
000000000 => 000000000 => 111111111 => 111111111
000000001 => 000000001 => 111111110 => 011111111
000000010 => 100000000 => 011111111 => 101111111
000000011 => 000000011 => 111111100 => 011111110
000000100 => 010000000 => 101111111 => 110111111
000000101 => 100000001 => 011111110 => 001111111
000000110 => 100000010 => 011111101 => 101111110
000000111 => 000000111 => 111111000 => 011111100
000001000 => 001000000 => 110111111 => 111011111
000001001 => 010000001 => 101111110 => 010111111
000001010 => 110000000 => 001111111 => 100111111
000001011 => 100000011 => 011111100 => 001111110
000001100 => 010000010 => 101111101 => 110111110
000001101 => 100000101 => 011111010 => 001111101
000001110 => 100000110 => 011111001 => 101111100
000001111 => 000001111 => 111110000 => 011111000
000010000 => 000100000 => 111011111 => 111101111
000010001 => 001000001 => 110111110 => 011011111
000010010 => 101000000 => 010111111 => 101011111
000010011 => 010000011 => 101111100 => 010111110
000010100 => 011000000 => 100111111 => 110011111
000010101 => 110000001 => 001111110 => 000111111
000010110 => 110000010 => 001111101 => 100111110
000010111 => 100000111 => 011111000 => 001111100
000011000 => 001000010 => 110111101 => 111011110
000011001 => 010000101 => 101111010 => 010111101
000011010 => 110000100 => 001111011 => 100111101
000011011 => 100001011 => 011110100 => 001111010
000011100 => 010000110 => 101111001 => 110111100
000011101 => 100001101 => 011110010 => 001111001
000011110 => 100001110 => 011110001 => 101111000
000011111 => 000011111 => 111100000 => 011110000
000100000 => 000010000 => 111101111 => 111110111
000100001 => 000100001 => 111011110 => 011101111
000100010 => 100100000 => 011011111 => 101101111
000100011 => 001000011 => 110111100 => 011011110
000100100 => 010100000 => 101011111 => 110101111
000100101 => 101000001 => 010111110 => 001011111
000100110 => 101000010 => 010111101 => 101011110
000100111 => 010000111 => 101111000 => 010111100
000101000 => 001100000 => 110011111 => 111001111
000101001 => 011000001 => 100111110 => 010011111
000101010 => 111000000 => 000111111 => 100011111
000101011 => 110000011 => 001111100 => 000111110
000101100 => 011000010 => 100111101 => 110011110
000101101 => 110000101 => 001111010 => 000111101
000101110 => 110000110 => 001111001 => 100111100
000101111 => 100001111 => 011110000 => 001111000
000110000 => 000100010 => 111011101 => 111101110
000110001 => 001000101 => 110111010 => 011011101
000110010 => 101000100 => 010111011 => 101011101
000110011 => 010001011 => 101110100 => 010111010
000110100 => 011000100 => 100111011 => 110011101
000110101 => 110001001 => 001110110 => 000111011
000110110 => 110001010 => 001110101 => 100111010
000110111 => 100010111 => 011101000 => 001110100
000111000 => 001000110 => 110111001 => 111011100
000111001 => 010001101 => 101110010 => 010111001
000111010 => 110001100 => 001110011 => 100111001
000111011 => 100011011 => 011100100 => 001110010
000111100 => 010001110 => 101110001 => 110111000
000111101 => 100011101 => 011100010 => 001110001
000111110 => 100011110 => 011100001 => 101110000
000111111 => 000111111 => 111000000 => 011100000
001000000 => 000001000 => 111110111 => 111111011
001000001 => 000010001 => 111101110 => 011110111
001000010 => 100010000 => 011101111 => 101110111
001000011 => 000100011 => 111011100 => 011101110
001000100 => 010010000 => 101101111 => 110110111
001000101 => 100100001 => 011011110 => 001101111
001000110 => 100100010 => 011011101 => 101101110
001000111 => 001000111 => 110111000 => 011011100
001001000 => 001010000 => 110101111 => 111010111
001001001 => 010100001 => 101011110 => 010101111
001001010 => 110100000 => 001011111 => 100101111
001001011 => 101000011 => 010111100 => 001011110
001001100 => 010100010 => 101011101 => 110101110
001001101 => 101000101 => 010111010 => 001011101
001001110 => 101000110 => 010111001 => 101011100
001001111 => 010001111 => 101110000 => 010111000
001010000 => 000110000 => 111001111 => 111100111
001010001 => 001100001 => 110011110 => 011001111
001010010 => 101100000 => 010011111 => 101001111
001010011 => 011000011 => 100111100 => 010011110
001010100 => 011100000 => 100011111 => 110001111
001010101 => 111000001 => 000111110 => 000011111
001010110 => 111000010 => 000111101 => 100011110
001010111 => 110000111 => 001111000 => 000111100
001011000 => 001100010 => 110011101 => 111001110
001011001 => 011000101 => 100111010 => 010011101
001011010 => 111000100 => 000111011 => 100011101
001011011 => 110001011 => 001110100 => 000111010
001011100 => 011000110 => 100111001 => 110011100
001011101 => 110001101 => 001110010 => 000111001
001011110 => 110001110 => 001110001 => 100111000
001011111 => 100011111 => 011100000 => 001110000
001100000 => 000010010 => 111101101 => 111110110
001100001 => 000100101 => 111011010 => 011101101
001100010 => 100100100 => 011011011 => 101101101
001100011 => 001001011 => 110110100 => 011011010
001100100 => 010100100 => 101011011 => 110101101
001100101 => 101001001 => 010110110 => 001011011
001100110 => 101001010 => 010110101 => 101011010
001100111 => 010010111 => 101101000 => 010110100
001101000 => 001100100 => 110011011 => 111001101
001101001 => 011001001 => 100110110 => 010011011
001101010 => 111001000 => 000110111 => 100011011
001101011 => 110010011 => 001101100 => 000110110
001101100 => 011001010 => 100110101 => 110011010
001101101 => 110010101 => 001101010 => 000110101
001101110 => 110010110 => 001101001 => 100110100
001101111 => 100101111 => 011010000 => 001101000
001110000 => 000100110 => 111011001 => 111101100
001110001 => 001001101 => 110110010 => 011011001
001110010 => 101001100 => 010110011 => 101011001
001110011 => 010011011 => 101100100 => 010110010
001110100 => 011001100 => 100110011 => 110011001
001110101 => 110011001 => 001100110 => 000110011
001110110 => 110011010 => 001100101 => 100110010
001110111 => 100110111 => 011001000 => 001100100
001111000 => 001001110 => 110110001 => 111011000
001111001 => 010011101 => 101100010 => 010110001
001111010 => 110011100 => 001100011 => 100110001
001111011 => 100111011 => 011000100 => 001100010
001111100 => 010011110 => 101100001 => 110110000
001111101 => 100111101 => 011000010 => 001100001
001111110 => 100111110 => 011000001 => 101100000
001111111 => 001111111 => 110000000 => 011000000
010000000 => 000000100 => 111111011 => 111111101
010000001 => 000001001 => 111110110 => 011111011
010000010 => 100001000 => 011110111 => 101111011
010000011 => 000010011 => 111101100 => 011110110
010000100 => 010001000 => 101110111 => 110111011
010000101 => 100010001 => 011101110 => 001110111
010000110 => 100010010 => 011101101 => 101110110
010000111 => 000100111 => 111011000 => 011101100
010001000 => 001001000 => 110110111 => 111011011
010001001 => 010010001 => 101101110 => 010110111
010001010 => 110010000 => 001101111 => 100110111
010001011 => 100100011 => 011011100 => 001101110
010001100 => 010010010 => 101101101 => 110110110
010001101 => 100100101 => 011011010 => 001101101
010001110 => 100100110 => 011011001 => 101101100
010001111 => 001001111 => 110110000 => 011011000
010010000 => 000101000 => 111010111 => 111101011
010010001 => 001010001 => 110101110 => 011010111
010010010 => 101010000 => 010101111 => 101010111
010010011 => 010100011 => 101011100 => 010101110
010010100 => 011010000 => 100101111 => 110010111
010010101 => 110100001 => 001011110 => 000101111
010010110 => 110100010 => 001011101 => 100101110
010010111 => 101000111 => 010111000 => 001011100
010011000 => 001010010 => 110101101 => 111010110
010011001 => 010100101 => 101011010 => 010101101
010011010 => 110100100 => 001011011 => 100101101
010011011 => 101001011 => 010110100 => 001011010
010011100 => 010100110 => 101011001 => 110101100
010011101 => 101001101 => 010110010 => 001011001
010011110 => 101001110 => 010110001 => 101011000
010011111 => 010011111 => 101100000 => 010110000
010100000 => 000011000 => 111100111 => 111110011
010100001 => 000110001 => 111001110 => 011100111
010100010 => 100110000 => 011001111 => 101100111
010100011 => 001100011 => 110011100 => 011001110
010100100 => 010110000 => 101001111 => 110100111
010100101 => 101100001 => 010011110 => 001001111
010100110 => 101100010 => 010011101 => 101001110
010100111 => 011000111 => 100111000 => 010011100
010101000 => 001110000 => 110001111 => 111000111
010101001 => 011100001 => 100011110 => 010001111
010101010 => 111100000 => 000011111 => 100001111
010101011 => 111000011 => 000111100 => 000011110
010101100 => 011100010 => 100011101 => 110001110
010101101 => 111000101 => 000111010 => 000011101
010101110 => 111000110 => 000111001 => 100011100
010101111 => 110001111 => 001110000 => 000111000
010110000 => 000110010 => 111001101 => 111100110
010110001 => 001100101 => 110011010 => 011001101
010110010 => 101100100 => 010011011 => 101001101
010110011 => 011001011 => 100110100 => 010011010
010110100 => 011100100 => 100011011 => 110001101
010110101 => 111001001 => 000110110 => 000011011
010110110 => 111001010 => 000110101 => 100011010
010110111 => 110010111 => 001101000 => 000110100
010111000 => 001100110 => 110011001 => 111001100
010111001 => 011001101 => 100110010 => 010011001
010111010 => 111001100 => 000110011 => 100011001
010111011 => 110011011 => 001100100 => 000110010
010111100 => 011001110 => 100110001 => 110011000
010111101 => 110011101 => 001100010 => 000110001
010111110 => 110011110 => 001100001 => 100110000
010111111 => 100111111 => 011000000 => 001100000
011000000 => 000001010 => 111110101 => 111111010
011000001 => 000010101 => 111101010 => 011110101
011000010 => 100010100 => 011101011 => 101110101
011000011 => 000101011 => 111010100 => 011101010
011000100 => 010010100 => 101101011 => 110110101
011000101 => 100101001 => 011010110 => 001101011
011000110 => 100101010 => 011010101 => 101101010
011000111 => 001010111 => 110101000 => 011010100
011001000 => 001010100 => 110101011 => 111010101
011001001 => 010101001 => 101010110 => 010101011
011001010 => 110101000 => 001010111 => 100101011
011001011 => 101010011 => 010101100 => 001010110
011001100 => 010101010 => 101010101 => 110101010
011001101 => 101010101 => 010101010 => 001010101
011001110 => 101010110 => 010101001 => 101010100
011001111 => 010101111 => 101010000 => 010101000
011010000 => 000110100 => 111001011 => 111100101
011010001 => 001101001 => 110010110 => 011001011
011010010 => 101101000 => 010010111 => 101001011
011010011 => 011010011 => 100101100 => 010010110
011010100 => 011101000 => 100010111 => 110001011
011010101 => 111010001 => 000101110 => 000010111
011010110 => 111010010 => 000101101 => 100010110
011010111 => 110100111 => 001011000 => 000101100
011011000 => 001101010 => 110010101 => 111001010
011011001 => 011010101 => 100101010 => 010010101
011011010 => 111010100 => 000101011 => 100010101
011011011 => 110101011 => 001010100 => 000101010
011011100 => 011010110 => 100101001 => 110010100
011011101 => 110101101 => 001010010 => 000101001
011011110 => 110101110 => 001010001 => 100101000
011011111 => 101011111 => 010100000 => 001010000
011100000 => 000010110 => 111101001 => 111110100
011100001 => 000101101 => 111010010 => 011101001
011100010 => 100101100 => 011010011 => 101101001
011100011 => 001011011 => 110100100 => 011010010
011100100 => 010101100 => 101010011 => 110101001
011100101 => 101011001 => 010100110 => 001010011
011100110 => 101011010 => 010100101 => 101010010
011100111 => 010110111 => 101001000 => 010100100
011101000 => 001101100 => 110010011 => 111001001
011101001 => 011011001 => 100100110 => 010010011
011101010 => 111011000 => 000100111 => 100010011
011101011 => 110110011 => 001001100 => 000100110
011101100 => 011011010 => 100100101 => 110010010
011101101 => 110110101 => 001001010 => 000100101
011101110 => 110110110 => 001001001 => 100100100
011101111 => 101101111 => 010010000 => 001001000
011110000 => 000101110 => 111010001 => 111101000
011110001 => 001011101 => 110100010 => 011010001
011110010 => 101011100 => 010100011 => 101010001
011110011 => 010111011 => 101000100 => 010100010
011110100 => 011011100 => 100100011 => 110010001
011110101 => 110111001 => 001000110 => 000100011
011110110 => 110111010 => 001000101 => 100100010
011110111 => 101110111 => 010001000 => 001000100
011111000 => 001011110 => 110100001 => 111010000
011111001 => 010111101 => 101000010 => 010100001
011111010 => 110111100 => 001000011 => 100100001
011111011 => 101111011 => 010000100 => 001000010
011111100 => 010111110 => 101000001 => 110100000
011111101 => 101111101 => 010000010 => 001000001
011111110 => 101111110 => 010000001 => 101000000
011111111 => 011111111 => 100000000 => 010000000
100000000 => 000000010 => 111111101 => 111111110
100000001 => 000000101 => 111111010 => 011111101
100000010 => 100000100 => 011111011 => 101111101
100000011 => 000001011 => 111110100 => 011111010
100000100 => 010000100 => 101111011 => 110111101
100000101 => 100001001 => 011110110 => 001111011
100000110 => 100001010 => 011110101 => 101111010
100000111 => 000010111 => 111101000 => 011110100
100001000 => 001000100 => 110111011 => 111011101
100001001 => 010001001 => 101110110 => 010111011
100001010 => 110001000 => 001110111 => 100111011
100001011 => 100010011 => 011101100 => 001110110
100001100 => 010001010 => 101110101 => 110111010
100001101 => 100010101 => 011101010 => 001110101
100001110 => 100010110 => 011101001 => 101110100
100001111 => 000101111 => 111010000 => 011101000
100010000 => 000100100 => 111011011 => 111101101
100010001 => 001001001 => 110110110 => 011011011
100010010 => 101001000 => 010110111 => 101011011
100010011 => 010010011 => 101101100 => 010110110
100010100 => 011001000 => 100110111 => 110011011
100010101 => 110010001 => 001101110 => 000110111
100010110 => 110010010 => 001101101 => 100110110
100010111 => 100100111 => 011011000 => 001101100
100011000 => 001001010 => 110110101 => 111011010
100011001 => 010010101 => 101101010 => 010110101
100011010 => 110010100 => 001101011 => 100110101
100011011 => 100101011 => 011010100 => 001101010
100011100 => 010010110 => 101101001 => 110110100
100011101 => 100101101 => 011010010 => 001101001
100011110 => 100101110 => 011010001 => 101101000
100011111 => 001011111 => 110100000 => 011010000
100100000 => 000010100 => 111101011 => 111110101
100100001 => 000101001 => 111010110 => 011101011
100100010 => 100101000 => 011010111 => 101101011
100100011 => 001010011 => 110101100 => 011010110
100100100 => 010101000 => 101010111 => 110101011
100100101 => 101010001 => 010101110 => 001010111
100100110 => 101010010 => 010101101 => 101010110
100100111 => 010100111 => 101011000 => 010101100
100101000 => 001101000 => 110010111 => 111001011
100101001 => 011010001 => 100101110 => 010010111
100101010 => 111010000 => 000101111 => 100010111
100101011 => 110100011 => 001011100 => 000101110
100101100 => 011010010 => 100101101 => 110010110
100101101 => 110100101 => 001011010 => 000101101
100101110 => 110100110 => 001011001 => 100101100
100101111 => 101001111 => 010110000 => 001011000
100110000 => 000101010 => 111010101 => 111101010
100110001 => 001010101 => 110101010 => 011010101
100110010 => 101010100 => 010101011 => 101010101
100110011 => 010101011 => 101010100 => 010101010
100110100 => 011010100 => 100101011 => 110010101
100110101 => 110101001 => 001010110 => 000101011
100110110 => 110101010 => 001010101 => 100101010
100110111 => 101010111 => 010101000 => 001010100
100111000 => 001010110 => 110101001 => 111010100
100111001 => 010101101 => 101010010 => 010101001
100111010 => 110101100 => 001010011 => 100101001
100111011 => 101011011 => 010100100 => 001010010
100111100 => 010101110 => 101010001 => 110101000
100111101 => 101011101 => 010100010 => 001010001
100111110 => 101011110 => 010100001 => 101010000
100111111 => 010111111 => 101000000 => 010100000
101000000 => 000001100 => 111110011 => 111111001
101000001 => 000011001 => 111100110 => 011110011
101000010 => 100011000 => 011100111 => 101110011
101000011 => 000110011 => 111001100 => 011100110
101000100 => 010011000 => 101100111 => 110110011
101000101 => 100110001 => 011001110 => 001100111
101000110 => 100110010 => 011001101 => 101100110
101000111 => 001100111 => 110011000 => 011001100
101001000 => 001011000 => 110100111 => 111010011
101001001 => 010110001 => 101001110 => 010100111
101001010 => 110110000 => 001001111 => 100100111
101001011 => 101100011 => 010011100 => 001001110
101001100 => 010110010 => 101001101 => 110100110
101001101 => 101100101 => 010011010 => 001001101
101001110 => 101100110 => 010011001 => 101001100
101001111 => 011001111 => 100110000 => 010011000
101010000 => 000111000 => 111000111 => 111100011
101010001 => 001110001 => 110001110 => 011000111
101010010 => 101110000 => 010001111 => 101000111
101010011 => 011100011 => 100011100 => 010001110
101010100 => 011110000 => 100001111 => 110000111
101010101 => 111100001 => 000011110 => 000001111
101010110 => 111100010 => 000011101 => 100001110
101010111 => 111000111 => 000111000 => 000011100
101011000 => 001110010 => 110001101 => 111000110
101011001 => 011100101 => 100011010 => 010001101
101011010 => 111100100 => 000011011 => 100001101
101011011 => 111001011 => 000110100 => 000011010
101011100 => 011100110 => 100011001 => 110001100
101011101 => 111001101 => 000110010 => 000011001
101011110 => 111001110 => 000110001 => 100011000
101011111 => 110011111 => 001100000 => 000110000
101100000 => 000011010 => 111100101 => 111110010
101100001 => 000110101 => 111001010 => 011100101
101100010 => 100110100 => 011001011 => 101100101
101100011 => 001101011 => 110010100 => 011001010
101100100 => 010110100 => 101001011 => 110100101
101100101 => 101101001 => 010010110 => 001001011
101100110 => 101101010 => 010010101 => 101001010
101100111 => 011010111 => 100101000 => 010010100
101101000 => 001110100 => 110001011 => 111000101
101101001 => 011101001 => 100010110 => 010001011
101101010 => 111101000 => 000010111 => 100001011
101101011 => 111010011 => 000101100 => 000010110
101101100 => 011101010 => 100010101 => 110001010
101101101 => 111010101 => 000101010 => 000010101
101101110 => 111010110 => 000101001 => 100010100
101101111 => 110101111 => 001010000 => 000101000
101110000 => 000110110 => 111001001 => 111100100
101110001 => 001101101 => 110010010 => 011001001
101110010 => 101101100 => 010010011 => 101001001
101110011 => 011011011 => 100100100 => 010010010
101110100 => 011101100 => 100010011 => 110001001
101110101 => 111011001 => 000100110 => 000010011
101110110 => 111011010 => 000100101 => 100010010
101110111 => 110110111 => 001001000 => 000100100
101111000 => 001101110 => 110010001 => 111001000
101111001 => 011011101 => 100100010 => 010010001
101111010 => 111011100 => 000100011 => 100010001
101111011 => 110111011 => 001000100 => 000100010
101111100 => 011011110 => 100100001 => 110010000
101111101 => 110111101 => 001000010 => 000100001
101111110 => 110111110 => 001000001 => 100100000
101111111 => 101111111 => 010000000 => 001000000
110000000 => 000000110 => 111111001 => 111111100
110000001 => 000001101 => 111110010 => 011111001
110000010 => 100001100 => 011110011 => 101111001
110000011 => 000011011 => 111100100 => 011110010
110000100 => 010001100 => 101110011 => 110111001
110000101 => 100011001 => 011100110 => 001110011
110000110 => 100011010 => 011100101 => 101110010
110000111 => 000110111 => 111001000 => 011100100
110001000 => 001001100 => 110110011 => 111011001
110001001 => 010011001 => 101100110 => 010110011
110001010 => 110011000 => 001100111 => 100110011
110001011 => 100110011 => 011001100 => 001100110
110001100 => 010011010 => 101100101 => 110110010
110001101 => 100110101 => 011001010 => 001100101
110001110 => 100110110 => 011001001 => 101100100
110001111 => 001101111 => 110010000 => 011001000
110010000 => 000101100 => 111010011 => 111101001
110010001 => 001011001 => 110100110 => 011010011
110010010 => 101011000 => 010100111 => 101010011
110010011 => 010110011 => 101001100 => 010100110
110010100 => 011011000 => 100100111 => 110010011
110010101 => 110110001 => 001001110 => 000100111
110010110 => 110110010 => 001001101 => 100100110
110010111 => 101100111 => 010011000 => 001001100
110011000 => 001011010 => 110100101 => 111010010
110011001 => 010110101 => 101001010 => 010100101
110011010 => 110110100 => 001001011 => 100100101
110011011 => 101101011 => 010010100 => 001001010
110011100 => 010110110 => 101001001 => 110100100
110011101 => 101101101 => 010010010 => 001001001
110011110 => 101101110 => 010010001 => 101001000
110011111 => 011011111 => 100100000 => 010010000
110100000 => 000011100 => 111100011 => 111110001
110100001 => 000111001 => 111000110 => 011100011
110100010 => 100111000 => 011000111 => 101100011
110100011 => 001110011 => 110001100 => 011000110
110100100 => 010111000 => 101000111 => 110100011
110100101 => 101110001 => 010001110 => 001000111
110100110 => 101110010 => 010001101 => 101000110
110100111 => 011100111 => 100011000 => 010001100
110101000 => 001111000 => 110000111 => 111000011
110101001 => 011110001 => 100001110 => 010000111
110101010 => 111110000 => 000001111 => 100000111
110101011 => 111100011 => 000011100 => 000001110
110101100 => 011110010 => 100001101 => 110000110
110101101 => 111100101 => 000011010 => 000001101
110101110 => 111100110 => 000011001 => 100001100
110101111 => 111001111 => 000110000 => 000011000
110110000 => 000111010 => 111000101 => 111100010
110110001 => 001110101 => 110001010 => 011000101
110110010 => 101110100 => 010001011 => 101000101
110110011 => 011101011 => 100010100 => 010001010
110110100 => 011110100 => 100001011 => 110000101
110110101 => 111101001 => 000010110 => 000001011
110110110 => 111101010 => 000010101 => 100001010
110110111 => 111010111 => 000101000 => 000010100
110111000 => 001110110 => 110001001 => 111000100
110111001 => 011101101 => 100010010 => 010001001
110111010 => 111101100 => 000010011 => 100001001
110111011 => 111011011 => 000100100 => 000010010
110111100 => 011101110 => 100010001 => 110001000
110111101 => 111011101 => 000100010 => 000010001
110111110 => 111011110 => 000100001 => 100010000
110111111 => 110111111 => 001000000 => 000100000
111000000 => 000001110 => 111110001 => 111111000
111000001 => 000011101 => 111100010 => 011110001
111000010 => 100011100 => 011100011 => 101110001
111000011 => 000111011 => 111000100 => 011100010
111000100 => 010011100 => 101100011 => 110110001
111000101 => 100111001 => 011000110 => 001100011
111000110 => 100111010 => 011000101 => 101100010
111000111 => 001110111 => 110001000 => 011000100
111001000 => 001011100 => 110100011 => 111010001
111001001 => 010111001 => 101000110 => 010100011
111001010 => 110111000 => 001000111 => 100100011
111001011 => 101110011 => 010001100 => 001000110
111001100 => 010111010 => 101000101 => 110100010
111001101 => 101110101 => 010001010 => 001000101
111001110 => 101110110 => 010001001 => 101000100
111001111 => 011101111 => 100010000 => 010001000
111010000 => 000111100 => 111000011 => 111100001
111010001 => 001111001 => 110000110 => 011000011
111010010 => 101111000 => 010000111 => 101000011
111010011 => 011110011 => 100001100 => 010000110
111010100 => 011111000 => 100000111 => 110000011
111010101 => 111110001 => 000001110 => 000000111
111010110 => 111110010 => 000001101 => 100000110
111010111 => 111100111 => 000011000 => 000001100
111011000 => 001111010 => 110000101 => 111000010
111011001 => 011110101 => 100001010 => 010000101
111011010 => 111110100 => 000001011 => 100000101
111011011 => 111101011 => 000010100 => 000001010
111011100 => 011110110 => 100001001 => 110000100
111011101 => 111101101 => 000010010 => 000001001
111011110 => 111101110 => 000010001 => 100001000
111011111 => 111011111 => 000100000 => 000010000
111100000 => 000011110 => 111100001 => 111110000
111100001 => 000111101 => 111000010 => 011100001
111100010 => 100111100 => 011000011 => 101100001
111100011 => 001111011 => 110000100 => 011000010
111100100 => 010111100 => 101000011 => 110100001
111100101 => 101111001 => 010000110 => 001000011
111100110 => 101111010 => 010000101 => 101000010
111100111 => 011110111 => 100001000 => 010000100
111101000 => 001111100 => 110000011 => 111000001
111101001 => 011111001 => 100000110 => 010000011
111101010 => 111111000 => 000000111 => 100000011
111101011 => 111110011 => 000001100 => 000000110
111101100 => 011111010 => 100000101 => 110000010
111101101 => 111110101 => 000001010 => 000000101
111101110 => 111110110 => 000001001 => 100000100
111101111 => 111101111 => 000010000 => 000001000
111110000 => 000111110 => 111000001 => 111100000
111110001 => 001111101 => 110000010 => 011000001
111110010 => 101111100 => 010000011 => 101000001
111110011 => 011111011 => 100000100 => 010000010
111110100 => 011111100 => 100000011 => 110000001
111110101 => 111111001 => 000000110 => 000000011
111110110 => 111111010 => 000000101 => 100000010
111110111 => 111110111 => 000001000 => 000000100
111111000 => 001111110 => 110000001 => 111000000
111111001 => 011111101 => 100000010 => 010000001
111111010 => 111111100 => 000000011 => 100000001
111111011 => 111111011 => 000000100 => 000000010
111111100 => 011111110 => 100000001 => 110000000
111111101 => 111111101 => 000000010 => 000000001
111111110 => 111111110 => 000000001 => 100000000
111111111 => 111111111 => 000000000 => 000000000
1010101010 => 1111100000 => 0000011111 => 1000001111
1010101100 => 0111100010 => 1000011101 => 1100001110
1010110010 => 1011100100 => 0100011011 => 1010001101
1010110100 => 0111100100 => 1000011011 => 1100001101
1010111000 => 0011100110 => 1100011001 => 1110001100
1011001010 => 1101101000 => 0010010111 => 1001001011
1011001100 => 0101101010 => 1010010101 => 1101001010
1011010010 => 1011101000 => 0100010111 => 1010001011
1011010100 => 0111101000 => 1000010111 => 1100001011
1011011000 => 0011101010 => 1100010101 => 1110001010
1011100010 => 1001101100 => 0110010011 => 1011001001
1011100100 => 0101101100 => 1010010011 => 1101001001
1011101000 => 0011101100 => 1100010011 => 1110001001
1011110000 => 0001101110 => 1110010001 => 1111001000
1100101010 => 1110110000 => 0001001111 => 1000100111
1100101100 => 0110110010 => 1001001101 => 1100100110
1100110010 => 1010110100 => 0101001011 => 1010100101
1100110100 => 0110110100 => 1001001011 => 1100100101
1100111000 => 0010110110 => 1101001001 => 1110100100
1101001010 => 1101110000 => 0010001111 => 1001000111
1101001100 => 0101110010 => 1010001101 => 1101000110
1101010010 => 1011110000 => 0100001111 => 1010000111
1101010100 => 0111110000 => 1000001111 => 1100000111
1101011000 => 0011110010 => 1100001101 => 1110000110
1101100010 => 1001110100 => 0110001011 => 1011000101
1101100100 => 0101110100 => 1010001011 => 1101000101
1101101000 => 0011110100 => 1100001011 => 1110000101
1101110000 => 0001110110 => 1110001001 => 1111000100
1110001010 => 1100111000 => 0011000111 => 1001100011
1110001100 => 0100111010 => 1011000101 => 1101100010
1110010010 => 1010111000 => 0101000111 => 1010100011
1110010100 => 0110111000 => 1001000111 => 1100100011
1110011000 => 0010111010 => 1101000101 => 1110100010
1110100010 => 1001111000 => 0110000111 => 1011000011
1110100100 => 0101111000 => 1010000111 => 1101000011
1110101000 => 0011111000 => 1100000111 => 1110000011
1110110000 => 0001111010 => 1110000101 => 1111000010
1111000010 => 1000111100 => 0111000011 => 1011100001
1111000100 => 0100111100 => 1011000011 => 1101100001
1111001000 => 0010111100 => 1101000011 => 1110100001
1111010000 => 0001111100 => 1110000011 => 1111000001
1111100000 => 0000111110 => 1111000001 => 1111100000
101010101010 => 111111000000 => 000000111111 => 100000011111
101010101100 => 011111000010 => 100000111101 => 110000011110
101010110010 => 101111000100 => 010000111011 => 101000011101
101010110100 => 011111000100 => 100000111011 => 110000011101
101010111000 => 001111000110 => 110000111001 => 111000011100
101011001010 => 110111001000 => 001000110111 => 100100011011
101011001100 => 010111001010 => 101000110101 => 110100011010
101011010010 => 101111001000 => 010000110111 => 101000011011
101011010100 => 011111001000 => 100000110111 => 110000011011
101011011000 => 001111001010 => 110000110101 => 111000011010
101011100010 => 100111001100 => 011000110011 => 101100011001
101011100100 => 010111001100 => 101000110011 => 110100011001
101011101000 => 001111001100 => 110000110011 => 111000011001
101011110000 => 000111001110 => 111000110001 => 111100011000
101100101010 => 111011010000 => 000100101111 => 100010010111
101100101100 => 011011010010 => 100100101101 => 110010010110
101100110010 => 101011010100 => 010100101011 => 101010010101
101100110100 => 011011010100 => 100100101011 => 110010010101
101100111000 => 001011010110 => 110100101001 => 111010010100
101101001010 => 110111010000 => 001000101111 => 100100010111
101101001100 => 010111010010 => 101000101101 => 110100010110
101101010010 => 101111010000 => 010000101111 => 101000010111
101101010100 => 011111010000 => 100000101111 => 110000010111
101101011000 => 001111010010 => 110000101101 => 111000010110
101101100010 => 100111010100 => 011000101011 => 101100010101
101101100100 => 010111010100 => 101000101011 => 110100010101
101101101000 => 001111010100 => 110000101011 => 111000010101
101101110000 => 000111010110 => 111000101001 => 111100010100
101110001010 => 110011011000 => 001100100111 => 100110010011
101110001100 => 010011011010 => 101100100101 => 110110010010
101110010010 => 101011011000 => 010100100111 => 101010010011
101110010100 => 011011011000 => 100100100111 => 110010010011
101110011000 => 001011011010 => 110100100101 => 111010010010
101110100010 => 100111011000 => 011000100111 => 101100010011
101110100100 => 010111011000 => 101000100111 => 110100010011
101110101000 => 001111011000 => 110000100111 => 111000010011
101110110000 => 000111011010 => 111000100101 => 111100010010
101111000010 => 100011011100 => 011100100011 => 101110010001
101111000100 => 010011011100 => 101100100011 => 110110010001
101111001000 => 001011011100 => 110100100011 => 111010010001
101111010000 => 000111011100 => 111000100011 => 111100010001
101111100000 => 000011011110 => 111100100001 => 111110010000
110010101010 => 111101100000 => 000010011111 => 100001001111
110010101100 => 011101100010 => 100010011101 => 110001001110
110010110010 => 101101100100 => 010010011011 => 101001001101
110010110100 => 011101100100 => 100010011011 => 110001001101
110010111000 => 001101100110 => 110010011001 => 111001001100
110011001010 => 110101101000 => 001010010111 => 100101001011
110011001100 => 010101101010 => 101010010101 => 110101001010
110011010010 => 101101101000 => 010010010111 => 101001001011
110011010100 => 011101101000 => 100010010111 => 110001001011
110011011000 => 001101101010 => 110010010101 => 111001001010
110011100010 => 100101101100 => 011010010011 => 101101001001
110011100100 => 010101101100 => 101010010011 => 110101001001
110011101000 => 001101101100 => 110010010011 => 111001001001
110011110000 => 000101101110 => 111010010001 => 111101001000
110100101010 => 111011100000 => 000100011111 => 100010001111
110100101100 => 011011100010 => 100100011101 => 110010001110
110100110010 => 101011100100 => 010100011011 => 101010001101
110100110100 => 011011100100 => 100100011011 => 110010001101
110100111000 => 001011100110 => 110100011001 => 111010001100
110101001010 => 110111100000 => 001000011111 => 100100001111
110101001100 => 010111100010 => 101000011101 => 110100001110
110101010010 => 101111100000 => 010000011111 => 101000001111
110101010100 => 011111100000 => 100000011111 => 110000001111
110101011000 => 001111100010 => 110000011101 => 111000001110
110101100010 => 100111100100 => 011000011011 => 101100001101
110101100100 => 010111100100 => 101000011011 => 110100001101
110101101000 => 001111100100 => 110000011011 => 111000001101
110101110000 => 000111100110 => 111000011001 => 111100001100
110110001010 => 110011101000 => 001100010111 => 100110001011
110110001100 => 010011101010 => 101100010101 => 110110001010
110110010010 => 101011101000 => 010100010111 => 101010001011
110110010100 => 011011101000 => 100100010111 => 110010001011
110110011000 => 001011101010 => 110100010101 => 111010001010
110110100010 => 100111101000 => 011000010111 => 101100001011
110110100100 => 010111101000 => 101000010111 => 110100001011
110110101000 => 001111101000 => 110000010111 => 111000001011
110110110000 => 000111101010 => 111000010101 => 111100001010
110111000010 => 100011101100 => 011100010011 => 101110001001
110111000100 => 010011101100 => 101100010011 => 110110001001
110111001000 => 001011101100 => 110100010011 => 111010001001
110111010000 => 000111101100 => 111000010011 => 111100001001
110111100000 => 000011101110 => 111100010001 => 111110001000
111000101010 => 111001110000 => 000110001111 => 100011000111
111000101100 => 011001110010 => 100110001101 => 110011000110
111000110010 => 101001110100 => 010110001011 => 101011000101
111000110100 => 011001110100 => 100110001011 => 110011000101
111000111000 => 001001110110 => 110110001001 => 111011000100
111001001010 => 110101110000 => 001010001111 => 100101000111
111001001100 => 010101110010 => 101010001101 => 110101000110
111001010010 => 101101110000 => 010010001111 => 101001000111
111001010100 => 011101110000 => 100010001111 => 110001000111
111001011000 => 001101110010 => 110010001101 => 111001000110
111001100010 => 100101110100 => 011010001011 => 101101000101
111001100100 => 010101110100 => 101010001011 => 110101000101
111001101000 => 001101110100 => 110010001011 => 111001000101
111001110000 => 000101110110 => 111010001001 => 111101000100
111010001010 => 110011110000 => 001100001111 => 100110000111
111010001100 => 010011110010 => 101100001101 => 110110000110
111010010010 => 101011110000 => 010100001111 => 101010000111
111010010100 => 011011110000 => 100100001111 => 110010000111
111010011000 => 001011110010 => 110100001101 => 111010000110
111010100010 => 100111110000 => 011000001111 => 101100000111
111010100100 => 010111110000 => 101000001111 => 110100000111
111010101000 => 001111110000 => 110000001111 => 111000000111
111010110000 => 000111110010 => 111000001101 => 111100000110
111011000010 => 100011110100 => 011100001011 => 101110000101
111011000100 => 010011110100 => 101100001011 => 110110000101
111011001000 => 001011110100 => 110100001011 => 111010000101
111011010000 => 000111110100 => 111000001011 => 111100000101
111011100000 => 000011110110 => 111100001001 => 111110000100
111100001010 => 110001111000 => 001110000111 => 100111000011
111100001100 => 010001111010 => 101110000101 => 110111000010
111100010010 => 101001111000 => 010110000111 => 101011000011
111100010100 => 011001111000 => 100110000111 => 110011000011
111100011000 => 001001111010 => 110110000101 => 111011000010
111100100010 => 100101111000 => 011010000111 => 101101000011
111100100100 => 010101111000 => 101010000111 => 110101000011
111100101000 => 001101111000 => 110010000111 => 111001000011
111100110000 => 000101111010 => 111010000101 => 111101000010
111101000010 => 100011111000 => 011100000111 => 101110000011
111101000100 => 010011111000 => 101100000111 => 110110000011
111101001000 => 001011111000 => 110100000111 => 111010000011
111101010000 => 000111111000 => 111000000111 => 111100000011
111101100000 => 000011111010 => 111100000101 => 111110000010
111110000010 => 100001111100 => 011110000011 => 101111000001
111110000100 => 010001111100 => 101110000011 => 110111000001
111110001000 => 001001111100 => 110110000011 => 111011000001
111110010000 => 000101111100 => 111010000011 => 111101000001
111110100000 => 000011111100 => 111100000011 => 111110000001
111111000000 => 000001111110 => 111110000001 => 111111000000
10101010101010 => 11111110000000 => 00000001111111 => 10000000111111
10101010110010 => 10111110000100 => 01000001111011 => 10100000111101
10101011001010 => 11011110001000 => 00100001110111 => 10010000111011
10101011010010 => 10111110001000 => 01000001110111 => 10100000111011
10101100101010 => 11101110010000 => 00010001101111 => 10001000110111
10101100110010 => 10101110010100 => 01010001101011 => 10101000110101
10101101001010 => 11011110010000 => 00100001101111 => 10010000110111
10101101010010 => 10111110010000 => 01000001101111 => 10100000110111
10110010101010 => 11110110100000 => 00001001011111 => 10000100101111
10110011001010 => 11010110101000 => 00101001010111 => 10010100101011
10110100101010 => 11101110100000 => 00010001011111 => 10001000101111
10110100110010 => 10101110100100 => 01010001011011 => 10101000101101
10110101001010 => 11011110100000 => 00100001011111 => 10010000101111
10110101010010 => 10111110100000 => 01000001011111 => 10100000101111
10110110010010 => 10101110101000 => 01010001010111 => 10101000101011
10111000101010 => 11100110110000 => 00011001001111 => 10001100100111
10111001001010 => 11010110110000 => 00101001001111 => 10010100100111
10111010010010 => 10101110110000 => 01010001001111 => 10101000100111
11001010101010 => 11111011000000 => 00000100111111 => 10000010011111
11001010110010 => 10111011000100 => 01000100111011 => 10100010011101
11001011001010 => 11011011001000 => 00100100110111 => 10010010011011
11001100101010 => 11101011010000 => 00010100101111 => 10001010010111
11001100110010 => 10101011010100 => 01010100101011 => 10101010010101
11001101001010 => 11011011010000 => 00100100101111 => 10010010010111
11001101010010 => 10111011010000 => 01000100101111 => 10100010010111
11010010101010 => 11110111000000 => 00001000111111 => 10000100011111
11010011001010 => 11010111001000 => 00101000110111 => 10010100011011
11010100101010 => 11101111000000 => 00010000111111 => 10001000011111
11010100110010 => 10101111000100 => 01010000111011 => 10101000011101
11010101001010 => 11011111000000 => 00100000111111 => 10010000011111
11010101010010 => 10111111000000 => 01000000111111 => 10100000011111
11011000101010 => 11100111010000 => 00011000101111 => 10001100010111
11011001001010 => 11010111010000 => 00101000101111 => 10010100010111
11011010010010 => 10101111010000 => 01010000101111 => 10101000010111
11100010101010 => 11110011100000 => 00001100011111 => 10000110001111
11100100101010 => 11101011100000 => 00010100011111 => 10001010001111
11100100110010 => 10101011100100 => 01010100011011 => 10101010001101
11100101001010 => 11011011100000 => 00100100011111 => 10010010001111
11100101010010 => 10111011100000 => 01000100011111 => 10100010001111
11100110010010 => 10101011101000 => 01010100010111 => 10101010001011
11101000101010 => 11100111100000 => 00011000011111 => 10001100001111
11101001001010 => 11010111100000 => 00101000011111 => 10010100001111
11101001010010 => 10110111100000 => 01001000011111 => 10100100001111
11101010001010 => 11001111100000 => 00110000011111 => 10011000001111
11110010010010 => 10101011110000 => 01010100001111 => 10101010000111
1101010101010010 => 1011111110000000 => 0100000001111111 => 1010000000111111
1110010101010010 => 1011110111000000 => 0100001000111111 => 1010000100011111
1111111100000000 => 0000000111111110 => 1111111000000001 => 1111111100000000
1111111111 => 1111111111 => 0000000000 => 0000000000
1111111110 => 1111111110 => 0000000001 => 1000000000
1111111101 => 1111111101 => 0000000010 => 0000000001
1111111100 => 0111111110 => 1000000001 => 1100000000
1111111011 => 1111111011 => 0000000100 => 0000000010
1111111010 => 1111111100 => 0000000011 => 1000000001
1111111001 => 0111111101 => 1000000010 => 0100000001
1111110110 => 1111111010 => 0000000101 => 1000000010
1111110101 => 1111111001 => 0000000110 => 0000000011
1111110011 => 0111111011 => 1000000100 => 0100000010
1111110010 => 1011111100 => 0100000011 => 1010000001
1111110000 => 0001111110 => 1110000001 => 1111000000
1111101110 => 1111110110 => 0000001001 => 1000000100
1111101101 => 1111110101 => 0000001010 => 0000000101
1111101011 => 1111110011 => 0000001100 => 0000000110
1111101010 => 1111111000 => 0000000111 => 1000000011
1111101001 => 0111111001 => 1000000110 => 0100000011
1111101000 => 0011111100 => 1100000011 => 1110000001
1111100111 => 0111110111 => 1000001000 => 0100000100
1111100010 => 1001111100 => 0110000011 => 1011000001
1111011110 => 1111101110 => 0000010001 => 1000001000
1111011101 => 1111101101 => 0000010010 => 0000001001
1111011011 => 1111101011 => 0000010100 => 0000001010
1111010111 => 1111100111 => 0000011000 => 0000001100
1111010101 => 1111110001 => 0000001110 => 0000000111
1111010100 => 0111111000 => 1000000111 => 1100000011
1111010010 => 1011111000 => 0100000111 => 1010000011
1111010001 => 0011111001 => 1100000110 => 0110000011
1111001111 => 0111101111 => 1000010000 => 0100001000
1111001010 => 1101111000 => 0010000111 => 1001000011
1111000011 => 0001111011 => 1110000100 => 0111000010
1111000001 => 0000111101 => 1111000010 => 0111100001
1111000000 => 0000011110 => 1111100001 => 1111110000
1110111110 => 1111011110 => 0000100001 => 1000010000
1110111011 => 1111011011 => 0000100100 => 0000010010
1110110111 => 1111010111 => 0000101000 => 0000010100
1110110101 => 1111101001 => 0000010110 => 0000001011
1110110100 => 0111110100 => 1000001011 => 1100000101
1110110010 => 1011110100 => 0100001011 => 1010000101
1110110001 => 0011110101 => 1100001010 => 0110000101
1110101100 => 0111110010 => 1000001101 => 1100000110
1110101010 => 1111110000 => 0000001111 => 1000000111
1110101001 => 0111110001 => 1000001110 => 0100000111
1110100101 => 1011110001 => 0100001110 => 0010000111
1110100011 => 0011110011 => 1100001100 => 0110000110
1110100001 => 0001111001 => 1110000110 => 0111000011
1110011111 => 0111011111 => 1000100000 => 0100010000
1110011110 => 1011101110 => 0100010001 => 1010001000
1110011001 => 0101110101 => 1010001010 => 0101000101
1110010110 => 1101110010 => 0010001101 => 1001000110
1110010101 => 1101110001 => 0010001110 => 0001000111
1110010011 => 0101110011 => 1010001100 => 0101000110
1110010001 => 0010111001 => 1101000110 => 0110100011
1110010000 => 0001011100 => 1110100011 => 1111010001
1110001101 => 1001110101 => 0110001010 => 0011000101
1110001011 => 1001110011 => 0110001100 => 0011000110
1110000110 => 1000111010 => 0111000101 => 1011100010
1110000101 => 1000111001 => 0111000110 => 0011100011
1110000100 => 0100011100 => 1011100011 => 1101110001
1110000011 => 0000111011 => 1111000100 => 0111100010
1110000010 => 1000011100 => 0111100011 => 1011110001
1110000001 => 0000011101 => 1111100010 => 0111110001
1101111110 => 1110111110 => 0001000001 => 1000100000
1101111101 => 1110111101 => 0001000010 => 0000100001
1101111011 => 1110111011 => 0001000100 => 0000100010
1101110111 => 1110110111 => 0001001000 => 0000100100
1101110010 => 1011101100 => 0100010011 => 1010001001
1101110001 => 0011101101 => 1100010010 => 0110001001
1101101111 => 1110101111 => 0001010000 => 0000101000
1101101001 => 0111101001 => 1000010110 => 0100001011
1101100110 => 1011101010 => 0100010101 => 1010001010
1101100001 => 0001110101 => 1110001010 => 0111000101
1101100000 => 0000111010 => 1111000101 => 1111100010
1101011111 => 1110011111 => 0001100000 => 0000110000
1101011011 => 1111001011 => 0000110100 => 0000011010
1101011010 => 1111100100 => 0000011011 => 1000001101
1101010101 => 1111100001 => 0000011110 => 0000001111
1101010011 => 0111100011 => 1000011100 => 0100001110
1101010001 => 0011110001 => 1100001110 => 0110000111
1101001110 => 1011100110 => 0100011001 => 1010001100
1101001101 => 1011100101 => 0100011010 => 0010001101
1101001001 => 0101110001 => 1010001110 => 0101000111
1101001000 => 0010111000 => 1101000111 => 1110100011
1101000111 => 0011100111 => 1100011000 => 0110001100
1101000110 => 1001110010 => 0110001101 => 1011000110
1101000011 => 0001110011 => 1110001100 => 0111000110
1101000010 => 1000111000 => 0111000111 => 1011100011
1101000001 => 0000111001 => 1111000110 => 0111100011
1100111111 => 0110111111 => 1001000000 => 0100100000
1100110110 => 1101101010 => 0010010101 => 1001001010
1100110011 => 0101101011 => 1010010100 => 0101001010
1100110001 => 0010110101 => 1101001010 => 0110100101
1100110000 => 0001011010 => 1110100101 => 1111010010
1100101110 => 1101100110 => 0010011001 => 1001001100
1100101011 => 1101100011 => 0010011100 => 0001001110
1100101001 => 0110110001 => 1001001110 => 0100100111
1100100111 => 0101100111 => 1010011000 => 0101001100
1100100110 => 1010110010 => 0101001101 => 1010100110
1100100100 => 0101011000 => 1010100111 => 1101010011
1100100011 => 0010110011 => 1101001100 => 0110100110
1100011110 => 1001101110 => 0110010001 => 1011001000
1100011101 => 1001101101 => 0110010010 => 0011001001
1100011011 => 1001101011 => 0110010100 => 0011001010
1100011001 => 0100110101 => 1011001010 => 0101100101
1100011000 => 0010011010 => 1101100101 => 1110110010
1100010111 => 1001100111 => 0110011000 => 0011001100
1100010011 => 0100110011 => 1011001100 => 0101100110
1100010010 => 1010011000 => 0101100111 => 1010110011
1100001111 => 0001101111 => 1110010000 => 0111001000
1100001110 => 1000110110 => 0111001001 => 1011100100
1100001101 => 1000110101 => 0111001010 => 0011100101
1100001100 => 0100011010 => 1011100101 => 1101110010
1100001011 => 1000110011 => 0111001100 => 0011100110
1100001010 => 1100011000 => 0011100111 => 1001110011
1100000111 => 0000110111 => 1111001000 => 0111100100
1100000110 => 1000011010 => 0111100101 => 1011110010
1100000011 => 0000011011 => 1111100100 => 0111110010
1100000000 => 0000000110 => 1111111001 => 1111111100
1011111111 => 1011111111 => 0100000000 => 0010000000
1011111110 => 1101111110 => 0010000001 => 1001000000
1011111101 => 1101111101 => 0010000010 => 0001000001
1011111011 => 1101111011 => 0010000100 => 0001000010
1011111010 => 1110111100 => 0001000011 => 1000100001
1011111000 => 0011011110 => 1100100001 => 1110010000
1011100101 => 1011011001 => 0100100110 => 0010010011
1011100011 => 0011011011 => 1100100100 => 0110010010
1011100001 => 0001101101 => 1110010010 => 0111001001
1011100000 => 0000110110 => 1111001001 => 1111100100
1011011111 => 1101011111 => 0010100000 => 0001010000
1011011001 => 0111010101 => 1000101010 => 0100010101
1011010101 => 1111010001 => 0000101110 => 0000010111
1011010011 => 0111010011 => 1000101100 => 0100010110
1011001101 => 1011010101 => 0100101010 => 0010010101
1011001011 => 1011010011 => 0100101100 => 0010010110
1011001001 => 0101101001 => 1010010110 => 0101001011
1011001000 => 0010110100 => 1101001011 => 1110100101
1011000101 => 1001101001 => 0110010110 => 0011001011
1011000100 => 0100110100 => 1011001011 => 1101100101
1011000011 => 0001101011 => 1110010100 => 0111001010
1011000010 => 1000110100 => 0111001011 => 1011100101
1011000001 => 0000110101 => 1111001010 => 0111100101
1010111111 => 1100111111 => 0011000000 => 0001100000
1010111110 => 1110011110 => 0001100001 => 1000110000
1010111001 => 0111001101 => 1000110010 => 0100011001
1010110011 => 0111001011 => 1000110100 => 0100011010
1010110000 => 0001110010 => 1110001101 => 1111000110
1010101011 => 1111000011 => 0000111100 => 0000011110
1010101001 => 0111100001 => 1000011110 => 0100001111
1010101000 => 0011110000 => 1100001111 => 1110000111
1010100111 => 0111000111 => 1000111000 => 0100011100
1010100110 => 1011100010 => 0100011101 => 1010001110
1010100101 => 1011100001 => 0100011110 => 0010001111
1010100100 => 0101110000 => 1010001111 => 1101000111
1010100011 => 0011100011 => 1100011100 => 0110001110
1010100000 => 0000111000 => 1111000111 => 1111100011
1010011101 => 1011001101 => 0100110010 => 0010011001
1010011011 => 1011001011 => 0100110100 => 0010011010
1010011010 => 1101100100 => 0010011011 => 1001001101
1010011001 => 0101100101 => 1010011010 => 0101001101
1010011000 => 0010110010 => 1101001101 => 1110100110
1010010111 => 1011000111 => 0100111000 => 0010011100
1010010110 => 1101100010 => 0010011101 => 1001001110
1010010101 => 1101100001 => 0010011110 => 0001001111
1010010100 => 0110110000 => 1001001111 => 1100100111
1010010010 => 1010110000 => 0101001111 => 1010100111
1010010001 => 0010110001 => 1101001110 => 0110100111
1010001111 => 0011001111 => 1100110000 => 0110011000
1010001110 => 1001100110 => 0110011001 => 1011001100
1010001101 => 1001100101 => 0110011010 => 0011001101
1010001100 => 0100110010 => 1011001101 => 1101100110
1010001011 => 1001100011 => 0110011100 => 0011001110
1010000111 => 0001100111 => 1110011000 => 0111001100
1010000101 => 1000110001 => 0111001110 => 0011100111
1010000010 => 1000011000 => 0111100111 => 1011110011
1010000000 => 0000001100 => 1111110011 => 1111111001
1001111111 => 0101111111 => 1010000000 => 0101000000
1001111110 => 1010111110 => 0101000001 => 1010100000
1001111001 => 0101011101 => 1010100010 => 0101010001
1001111000 => 0010101110 => 1101010001 => 1110101000
1001110110 => 1101011010 => 0010100101 => 1001010010
1001110100 => 0110101100 => 1001010011 => 1100101001
1001110011 => 0101011011 => 1010100100 => 0101010010
1001110001 => 0010101101 => 1101010010 => 0110101001
1001110000 => 0001010110 => 1110101001 => 1111010100
1001101101 => 1101010101 => 0010101010 => 0001010101
1001101100 => 0110101010 => 1001010101 => 1100101010
1001101011 => 1101010011 => 0010101100 => 0001010110
1001101010 => 1110101000 => 0001010111 => 1000101011
1001101001 => 0110101001 => 1001010110 => 0100101011
1001101000 => 0011010100 => 1100101011 => 1110010101
1001100111 => 0101010111 => 1010101000 => 0101010100
1001100110 => 1010101010 => 0101010101 => 1010101010
1001100101 => 1010101001 => 0101010110 => 0010101011
1001100100 => 0101010100 => 1010101011 => 1101010101
1001100011 => 0010101011 => 1101010100 => 0110101010
1001100010 => 1001010100 => 0110101011 => 1011010101
1001100001 => 0001010101 => 1110101010 => 0111010101
1001011110 => 1101001110 => 0010110001 => 1001011000
1001011101 => 1101001101 => 0010110010 => 0001011001
1001011011 => 1101001011 => 0010110100 => 0001011010
1001011010 => 1110100100 => 0001011011 => 1000101101
1001011001 => 0110100101 => 1001011010 => 0100101101
1001011000 => 0011010010 => 1100101101 => 1110010110
1001010111 => 1101000111 => 0010111000 => 0001011100
1001010110 => 1110100010 => 0001011101 => 1000101110
1001010101 => 1110100001 => 0001011110 => 0000101111
1001010100 => 0111010000 => 1000101111 => 1100010111
1001010010 => 1011010000 => 0100101111 => 1010010111
1001001111 => 0101001111 => 1010110000 => 0101011000
1001001110 => 1010100110 => 0101011001 => 1010101100
1001001101 => 1010100101 => 0101011010 => 0010101101
1001001100 => 0101010010 => 1010101101 => 1101010110
1001001011 => 1010100011 => 0101011100 => 0010101110
1001000111 => 0010100111 => 1101011000 => 0110101100
1001000110 => 1001010010 => 0110101101 => 1011010110
1001000000 => 0000010100 => 1111101011 => 1111110101
1000111110 => 1001011110 => 0110100001 => 1011010000
1000111101 => 1001011101 => 0110100010 => 0011010001
1000111011 => 1001011011 => 0110100100 => 0011010010
1000111010 => 1100101100 => 0011010011 => 1001101001
1000111001 => 0100101101 => 1011010010 => 0101101001
1000111000 => 0010010110 => 1101101001 => 1110110100
1000110111 => 1001010111 => 0110101000 => 0011010100
1000110110 => 1100101010 => 0011010101 => 1001101010
1000110100 => 0110010100 => 1001101011 => 1100110101
1000110011 => 0100101011 => 1011010100 => 0101101010
1000110010 => 1010010100 => 0101101011 => 1010110101
1000110000 => 0001001010 => 1110110101 => 1111011010
1000101111 => 1001001111 => 0110110000 => 0011011000
1000101110 => 1100100110 => 0011011001 => 1001101100
1000101101 => 1100100101 => 0011011010 => 0001101101
1000101100 => 0110010010 => 1001101101 => 1100110110
1000101011 => 1100100011 => 0011011100 => 0001101110
1000101010 => 1110010000 => 0001101111 => 1000110111
1000100111 => 0100100111 => 1011011000 => 0101101100
1000100101 => 1010010001 => 0101101110 => 0010110111
1000100000 => 0000100100 => 1111011011 => 1111101101
1000011110 => 1000101110 => 0111010001 => 1011101000
1000011101 => 1000101101 => 0111010010 => 0011101001
1000011011 => 1000101011 => 0111010100 => 0011101010
1000010111 => 1000100111 => 0111011000 => 0011101100
1000010110 => 1100010010 => 0011101101 => 1001110110
1000010101 => 1100010001 => 0011101110 => 0001110111
1000010000 => 0001000100 => 1110111011 => 1111011101
1000001111 => 0000101111 => 1111010000 => 0111101000
1000001110 => 1000010110 => 0111101001 => 1011110100
1000001010 => 1100001000 => 0011110111 => 1001111011
1000000111 => 0000010111 => 1111101000 => 0111110100
1000000110 => 1000001010 => 0111110101 => 1011111010
1000000100 => 0100000100 => 1011111011 => 1101111101
1000000010 => 1000000100 => 0111111011 => 1011111101
1000000000 => 0000000010 => 1111111101 => 1111111110
10000000000 => 00000000010 => 11111111101 => 11111111110
10000000010 => 10000000100 => 01111111011 => 10111111101
10000000110 => 10000001010 => 01111110101 => 10111111010
10000001110 => 10000010110 => 01111101001 => 10111110100
10000011110 => 10000101110 => 01111010001 => 10111101000
10000111110 => 10001011110 => 01110100001 => 10111010000
10001111110 => 10010111110 => 01101000001 => 10110100000
10011111110 => 10101111110 => 01010000001 => 10101000000
10111111110 => 11011111110 => 00100000001 => 10010000000
11111111110 => 11111111110 => 00000000001 => 10000000000
100000111110 => 100001011110 => 011110100001 => 101111010000
100001011110 => 110001001110 => 001110110001 => 100111011000
110111111110 => 111011111110 => 000100000001 => 100010000000
10000010000 => 00010000100 => 11101111011 => 11110111101
10000100010 => 10010001000 => 01101110111 => 10110111011
100010011110 => 101001001110 => 010110110001 => 101011011000
10111011110 => 11101101110 => 00010010001 => 10001001000
10001000010 => 10001001000 => 01110110111 => 10111011011
10000100100 => 01010001000 => 10101110111 => 11010111011
100100011110 => 100101001110 => 011010110001 => 101101011000
100010101110 => 111001000110 => 000110111001 => 100011011100
100001110110 => 110001011010 => 001110100101 => 100111010010
10111101110 => 11101110110 => 00010001001 => 10001000100
111101111110 => 111110111110 => 000001000001 => 100000100000
10001000100 => 01001001000 => 10110110111 => 11011011011
101000011110 => 100011001110 => 011100110001 => 101110011000
100100101110 => 110101000110 => 001010111001 => 100101011100
100011001110 => 101001010110 => 010110101001 => 101011010100
100010110110 => 111001001010 => 000110110101 => 100011011010
11111101110 => 11111110110 => 00000001001 => 10000000100
10010000100 => 01000101000 => 10111010111 => 11011101011
10001001000 => 00101001000 => 11010110111 => 11101011011
10010010010 => 10101010000 => 01010101111 => 10101010111
110000011110 => 100001101110 => 011110010001 => 101111001000
101000101110 => 110011000110 => 001100111001 => 100110011100
100101001110 => 101101000110 => 010010111001 => 101001011100
100100110110 => 110101001010 => 001010110101 => 100101011010
100011010110 => 111001010010 => 000110101101 => 100011010110
100010111010 => 111001001100 => 000110110011 => 100011011001
100001111100 => 010001011110 => 101110100001 => 110111010000
10110110110 => 11110101010 => 00001010101 => 10000101010
111111011110 => 111111101110 => 000000010001 => 100000001000
10010001000 => 00100101000 => 11011010111 => 11101101011
101000110110 => 110011001010 => 001100110101 => 100110011010
100110001110 => 100101010110 => 011010101001 => 101101010100
100101010110 => 111101000010 => 000010111101 => 100001011110
100100111010 => 110101001100 => 001010110011 => 100101011001
100011100110 => 101001011010 => 010110100101 => 101011010010
100011011010 => 111001010100 => 000110101011 => 100011010101
10101011010 => 11111000100 => 00000111011 => 10000011101
11111111010 => 11111111100 => 00000000011 => 10000000001
0111111111 => 0111111111 => 1000000000 => 0100000000
0111111101 => 1011111101 => 0100000010 => 0010000001
0111110001 => 0010111101 => 1101000010 => 0110100001
0111100001 => 0001011101 => 1110100010 => 0111010001
0111000001 => 0000101101 => 1111010010 => 0111101001
0100000001 => 0000001001 => 1111110110 => 0111111011
0000000001 => 0000000001 => 1111111110 => 0111111111
01111111111 => 01111111111 => 10000000000 => 01000000000
01111111101 => 10111111101 => 01000000010 => 00100000001
0111111011 => 1011111011 => 0100000100 => 0010000010
01111110001 => 00101111101 => 11010000010 => 01101000001
0111010001 => 0011011001 => 1100100110 => 0110010011
01111000001 => 00001011101 => 11110100010 => 01111010001
00000000001 => 00000000001 => 11111111110 => 01111111111
0101010101 => 1111000001 => 0000111110 => 0000011111
0101010011 => 0111000011 => 1000111100 => 0100011110
0101001101 => 1011000101 => 0100111010 => 0010011101
0101001011 => 1011000011 => 0100111100 => 0010011110
0101000111 => 0011000111 => 1100111000 => 0110011100
0100110101 => 1101001001 => 0010110110 => 0001011011
0100110011 => 0101001011 => 1010110100 => 0101011010
0100101101 => 1101000101 => 0010111010 => 0001011101
0100101011 => 1101000011 => 0010111100 => 0001011110
0100100111 => 0101000111 => 1010111000 => 0101011100
0100011101 => 1001001101 => 0110110010 => 0011011001
0100011011 => 1001001011 => 0110110100 => 0011011010
0100010111 => 1001000111 => 0110111000 => 0011011100
0100001111 => 0001001111 => 1110110000 => 0111011000
0011010101 => 1110010001 => 0001101110 => 0000110111
0011010011 => 0110010011 => 1001101100 => 0100110110
0011001101 => 1010010101 => 0101101010 => 0010110101
0011001011 => 1010010011 => 0101101100 => 0010110110
0011000111 => 0010010111 => 1101101000 => 0110110100
0010110101 => 1110001001 => 0001110110 => 0000111011
0010110011 => 0110001011 => 1001110100 => 0100111010
0010101101 => 1110000101 => 0001111010 => 0000111101
0010101011 => 1110000011 => 0001111100 => 0000111110
0010100111 => 0110000111 => 1001111000 => 0100111100
0010011101 => 1010001101 => 0101110010 => 0010111001
0010011011 => 1010001011 => 0101110100 => 0010111010
0010010111 => 1010000111 => 0101111000 => 0010111100
0010001111 => 0010001111 => 1101110000 => 0110111000
0001110101 => 1100011001 => 0011100110 => 0001110011
0001110011 => 0100011011 => 1011100100 => 0101110010
0001101101 => 1100010101 => 0011101010 => 0001110101
0001101011 => 1100010011 => 0011101100 => 0001110110
0001100111 => 0100010111 => 1011101000 => 0101110100
0001011101 => 1100001101 => 0011110010 => 0001111001
0001011011 => 1100001011 => 0011110100 => 0001111010
0001010111 => 1100000111 => 0011111000 => 0001111100
0001001111 => 0100001111 => 1011110000 => 0101111000
0000111101 => 1000011101 => 0111100010 => 0011110001
0000111011 => 1000011011 => 0111100100 => 0011110010
0000110111 => 1000010111 => 0111101000 => 0011110100
0000101111 => 1000001111 => 0111110000 => 0011111000
0000011111 => 0000011111 => 1111100000 => 0111110000
010101010101 => 111110000001 => 000001111110 => 000000111111
010101010011 => 011110000011 => 100001111100 => 010000111110
010101001101 => 101110000101 => 010001111010 => 001000111101
010101001011 => 101110000011 => 010001111100 => 001000111110
010101000111 => 001110000111 => 110001111000 => 011000111100
010100110101 => 110110001001 => 001001110110 => 000100111011
010100110011 => 010110001011 => 101001110100 => 010100111010
010100101101 => 110110000101 => 001001111010 => 000100111101
010100101011 => 110110000011 => 001001111100 => 000100111110
010100100111 => 010110000111 => 101001111000 => 010100111100
010100011101 => 100110001101 => 011001110010 => 001100111001
010100011011 => 100110001011 => 011001110100 => 001100111010
010100010111 => 100110000111 => 011001111000 => 001100111100
010100001111 => 000110001111 => 111001110000 => 011100111000
010011010101 => 111010010001 => 000101101110 => 000010110111
010011010011 => 011010010011 => 100101101100 => 010010110110
010011001101 => 101010010101 => 010101101010 => 001010110101
010011001011 => 101010010011 => 010101101100 => 001010110110
010011000111 => 001010010111 => 110101101000 => 011010110100
010010110101 => 111010001001 => 000101110110 => 000010111011
010010110011 => 011010001011 => 100101110100 => 010010111010
010010101101 => 111010000101 => 000101111010 => 000010111101
010010101011 => 111010000011 => 000101111100 => 000010111110
010010100111 => 011010000111 => 100101111000 => 010010111100
010010011101 => 101010001101 => 010101110010 => 001010111001
010010011011 => 101010001011 => 010101110100 => 001010111010
010010010111 => 101010000111 => 010101111000 => 001010111100
010010001111 => 001010001111 => 110101110000 => 011010111000
010001110101 => 110010011001 => 001101100110 => 000110110011
010001110011 => 010010011011 => 101101100100 => 010110110010
010001101101 => 110010010101 => 001101101010 => 000110110101
010001101011 => 110010010011 => 001101101100 => 000110110110
010001100111 => 010010010111 => 101101101000 => 010110110100
010001011101 => 110010001101 => 001101110010 => 000110111001
010001011011 => 110010001011 => 001101110100 => 000110111010
010001010111 => 110010000111 => 001101111000 => 000110111100
010001001111 => 010010001111 => 101101110000 => 010110111000
010000111101 => 100010011101 => 011101100010 => 001110110001
010000111011 => 100010011011 => 011101100100 => 001110110010
010000110111 => 100010010111 => 011101101000 => 001110110100
010000101111 => 100010001111 => 011101110000 => 001110111000
010000011111 => 000010011111 => 111101100000 => 011110110000
001101010101 => 111100100001 => 000011011110 => 000001101111
001101010011 => 011100100011 => 100011011100 => 010001101110
001101001101 => 101100100101 => 010011011010 => 001001101101
001101001011 => 101100100011 => 010011011100 => 001001101110
001101000111 => 001100100111 => 110011011000 => 011001101100
001100110101 => 110100101001 => 001011010110 => 000101101011
001100110011 => 010100101011 => 101011010100 => 010101101010
001100101101 => 110100100101 => 001011011010 => 000101101101
001100101011 => 110100100011 => 001011011100 => 000101101110
001100100111 => 010100100111 => 101011011000 => 010101101100
001100011101 => 100100101101 => 011011010010 => 001101101001
001100011011 => 100100101011 => 011011010100 => 001101101010
001100010111 => 100100100111 => 011011011000 => 001101101100
001100001111 => 000100101111 => 111011010000 => 011101101000
001011010101 => 111100010001 => 000011101110 => 000001110111
001011010011 => 011100010011 => 100011101100 => 010001110110
001011001101 => 101100010101 => 010011101010 => 001001110101
001011001011 => 101100010011 => 010011101100 => 001001110110
001011000111 => 001100010111 => 110011101000 => 011001110100
001010110101 => 111100001001 => 000011110110 => 000001111011
001010110011 => 011100001011 => 100011110100 => 010001111010
001010101101 => 111100000101 => 000011111010 => 000001111101
001010101011 => 111100000011 => 000011111100 => 000001111110
001010100111 => 011100000111 => 100011111000 => 010001111100
001010011101 => 101100001101 => 010011110010 => 001001111001
001010011011 => 101100001011 => 010011110100 => 001001111010
001010010111 => 101100000111 => 010011111000 => 001001111100
001010001111 => 001100001111 => 110011110000 => 011001111000
001001110101 => 110100011001 => 001011100110 => 000101110011
001001110011 => 010100011011 => 101011100100 => 010101110010
001001101101 => 110100010101 => 001011101010 => 000101110101
001001101011 => 110100010011 => 001011101100 => 000101110110
001001100111 => 010100010111 => 101011101000 => 010101110100
001001011101 => 110100001101 => 001011110010 => 000101111001
001001011011 => 110100001011 => 001011110100 => 000101111010
001001010111 => 110100000111 => 001011111000 => 000101111100
001001001111 => 010100001111 => 101011110000 => 010101111000
001000111101 => 100100011101 => 011011100010 => 001101110001
001000111011 => 100100011011 => 011011100100 => 001101110010
001000110111 => 100100010111 => 011011101000 => 001101110100
001000101111 => 100100001111 => 011011110000 => 001101111000
001000011111 => 000100011111 => 111011100000 => 011101110000
000111010101 => 111000110001 => 000111001110 => 000011100111
000111010011 => 011000110011 => 100111001100 => 010011100110
000111001101 => 101000110101 => 010111001010 => 001011100101
000111001011 => 101000110011 => 010111001100 => 001011100110
000111000111 => 001000110111 => 110111001000 => 011011100100
000110110101 => 111000101001 => 000111010110 => 000011101011
000110110011 => 011000101011 => 100111010100 => 010011101010
000110101101 => 111000100101 => 000111011010 => 000011101101
000110101011 => 111000100011 => 000111011100 => 000011101110
000110100111 => 011000100111 => 100111011000 => 010011101100
000110011101 => 101000101101 => 010111010010 => 001011101001
000110011011 => 101000101011 => 010111010100 => 001011101010
000110010111 => 101000100111 => 010111011000 => 001011101100
000110001111 => 001000101111 => 110111010000 => 011011101000
000101110101 => 111000011001 => 000111100110 => 000011110011
000101110011 => 011000011011 => 100111100100 => 010011110010
000101101101 => 111000010101 => 000111101010 => 000011110101
000101101011 => 111000010011 => 000111101100 => 000011110110
000101100111 => 011000010111 => 100111101000 => 010011110100
000101011101 => 111000001101 => 000111110010 => 000011111001
000101011011 => 111000001011 => 000111110100 => 000011111010
000101010111 => 111000000111 => 000111111000 => 000011111100
000101001111 => 011000001111 => 100111110000 => 010011111000
000100111101 => 101000011101 => 010111100010 => 001011110001
000100111011 => 101000011011 => 010111100100 => 001011110010
000100110111 => 101000010111 => 010111101000 => 001011110100
000100101111 => 101000001111 => 010111110000 => 001011111000
000100011111 => 001000011111 => 110111100000 => 011011110000
000011110101 => 110000111001 => 001111000110 => 000111100011
000011110011 => 010000111011 => 101111000100 => 010111100010
000011101101 => 110000110101 => 001111001010 => 000111100101
000011101011 => 110000110011 => 001111001100 => 000111100110
000011100111 => 010000110111 => 101111001000 => 010111100100
000011011101 => 110000101101 => 001111010010 => 000111101001
000011011011 => 110000101011 => 001111010100 => 000111101010
000011010111 => 110000100111 => 001111011000 => 000111101100
000011001111 => 010000101111 => 101111010000 => 010111101000
000010111101 => 110000011101 => 001111100010 => 000111110001
000010111011 => 110000011011 => 001111100100 => 000111110010
000010110111 => 110000010111 => 001111101000 => 000111110100
000010101111 => 110000001111 => 001111110000 => 000111111000
000010011111 => 010000011111 => 101111100000 => 010111110000
000001111101 => 100000111101 => 011111000010 => 001111100001
000001111011 => 100000111011 => 011111000100 => 001111100010
000001110111 => 100000110111 => 011111001000 => 001111100100
000001101111 => 100000101111 => 011111010000 => 001111101000
000001011111 => 100000011111 => 011111100000 => 001111110000
000000111111 => 000000111111 => 111111000000 => 011111100000
11010101010 => 11111100000 => 00000011111 => 10000001111
11010101000 => 00111110000 => 11000001111 => 11100000111
11011010100 => 01111101000 => 10000010111 => 11000001011
111111111111 => 111111111111 => 000000000000 => 000000000000
111110000001 => 000001111101 => 111110000010 => 011111000001
111110100101 => 101111110001 => 010000001110 => 001000000111
111001100001 => 000101110101 => 111010001010 => 011101000101
111000011001 => 010001110101 => 101110001010 => 010111000101
111000000111 => 000001110111 => 111110001000 => 011111000100
111000001101 => 100001110101 => 011110001010 => 001111000101
111000110001 => 001001110101 => 110110001010 => 011011000101
111000100101 => 101001110001 => 010110001110 => 001011000111
111011000001 => 000011110101 => 111100001010 => 011110000101
111011100101 => 101111011001 => 010000100110 => 001000010011
111010010111 => 101111000111 => 010000111000 => 001000011100
111010010001 => 001011110001 => 110100001110 => 011010000111
111010011101 => 101111001101 => 010000110010 => 001000011001
111010000101 => 100011110001 => 011100001110 => 001110000111
100111100001 => 000101011101 => 111010100010 => 011101010001
100110011001 => 010101010101 => 101010101010 => 010101010101
100110000111 => 000101010111 => 111010101000 => 011101010100
100110001101 => 100101010101 => 011010101010 => 001101010101
100110110001 => 001101010101 => 110010101010 => 011001010101
100001111001 => 010001011101 => 101110100010 => 010111010001
100001100111 => 010001010111 => 101110101000 => 010111010100
100000011111 => 000001011111 => 111110100000 => 011111010000
100000110111 => 100001010111 => 011110101000 => 001111010100
100000111101 => 100001011101 => 011110100010 => 001111010001
100000100101 => 101000010001 => 010111101110 => 001011110111
100011011001 => 011001010101 => 100110101010 => 010011010101
100011000111 => 001001010111 => 110110101000 => 011011010100
100011001101 => 101001010101 => 010110101010 => 001011010101
100011110001 => 001001011101 => 110110100010 => 011011010001
100011100101 => 101001011001 => 010110100110 => 001011010011
100010010111 => 101001000111 => 010110111000 => 001011011100
100010010001 => 001010010001 => 110101101110 => 011010110111
100010011101 => 101001001101 => 010110110010 => 001011011001
100010000101 => 100010010001 => 011101101110 => 001110110111
100010110101 => 111001001001 => 000110110110 => 000011011011
101101100001 => 000111010101 => 111000101010 => 011100010101
101100011001 => 010011010101 => 101100101010 => 010110010101
101100000111 => 000011010111 => 111100101000 => 011110010100
101100001101 => 100011010101 => 011100101010 => 001110010101
101100110001 => 001011010101 => 110100101010 => 011010010101
101100100101 => 101011010001 => 010100101110 => 001010010111
101111000001 => 000011011101 => 111100100010 => 011110010001
101111100101 => 101101111001 => 010010000110 => 001001000011
101110010111 => 101101100111 => 010010011000 => 001001001100
101110010001 => 001011011001 => 110100100110 => 011010010011
101110011101 => 101101101101 => 010010010010 => 001001001001
101110000101 => 100011011001 => 011100100110 => 001110010011
101001011111 => 101100011111 => 010011100000 => 001001110000
101001011001 => 011011000101 => 100100111010 => 010010011101
101001000111 => 001011000111 => 110100111000 => 011010011100
101001000001 => 000010110001 => 111101001110 => 011110100111
101001001101 => 101011000101 => 010100111010 => 001010011101
101001110111 => 101100110111 => 010011001000 => 001001100100
101001110001 => 001011001101 => 110100110010 => 011010011001
101001111101 => 101100111101 => 010011000010 => 001001100001
101000010111 => 100011000111 => 011100111000 => 001110011100
101000010001 => 001000110001 => 110111001110 => 011011100111
101000011101 => 100011001101 => 011100110010 => 001110011001
101000000101 => 100000110001 => 011111001110 => 001111100111
101011010001 => 001111001001 => 110000110110 => 011000011011
101010010101 => 110111000001 => 001000111110 => 000100011111
0000000000 => 0000000000 => 1111111111 => 1111111111
0000000110 => 1000000010 => 0111111101 => 1011111110
0000011000 => 0010000010 => 1101111101 => 1110111110
0000011110 => 1000001110 => 0111110001 => 1011111000
0000010010 => 1010000000 => 0101111111 => 1010111111
0001100000 => 0000100010 => 1111011101 => 1111101110
0001100110 => 1010001010 => 0101110101 => 1010111010
0001111000 => 0010001110 => 1101110001 => 1110111000
0001111110 => 1000111110 => 0111000001 => 1011100000
0001110010 => 1010001100 => 0101110011 => 1010111001
0001001000 => 0010100000 => 1101011111 => 1110101111
0001001110 => 1010000110 => 0101111001 => 1010111100
0001000010 => 1000100000 => 0111011111 => 1011101111
0110000000 => 0000001010 => 1111110101 => 1111111010
0110000110 => 1000101010 => 0111010101 => 1011101010
0110011000 => 0010101010 => 1101010101 => 1110101010
0110011110 => 1010101110 => 0101010001 => 1010101000
0110010010 => 1010101000 => 0101010111 => 1010101011
0111100000 => 0000101110 => 1111010001 => 1111101000
0111100110 => 1010111010 => 0101000101 => 1010100010
0111111000 => 0010111110 => 1101000001 => 1110100000
0111111110 => 1011111110 => 0100000001 => 1010000000
0111110010 => 1010111100 => 0101000011 => 1010100001
0111001000 => 0010101100 => 1101010011 => 1110101001
0111000010 => 1000101100 => 0111010011 => 1011101001
0111011010 => 1110110100 => 0001001011 => 1000100101
0100100000 => 0000101000 => 1111010111 => 1111101011
0100100110 => 1010100010 => 0101011101 => 1010101110
0100111000 => 0010100110 => 1101011001 => 1110101100
0100111110 => 1010011110 => 0101100001 => 1010110000
0100110010 => 1010100100 => 0101011011 => 1010101101
0100001000 => 0010001000 => 1101110111 => 1110111011
0100001110 => 1000100110 => 0111011001 => 1011101100
0100000010 => 1000001000 => 0111110111 => 1011111011
0101101000 => 0011100100 => 1100011011 => 1110001101
0101101110 => 1110010110 => 0001101001 => 1000110100
0101100010 => 1001100100 => 0110011011 => 1011001101
0101111010 => 1110011100 => 0001100011 => 1000110001
0101001010 => 1101100000 => 0010011111 => 1001001111
000000000000 => 000000000000 => 111111111111 => 111111111111
000000000110 => 100000000010 => 011111111101 => 101111111110
000000011000 => 001000000010 => 110111111101 => 111011111110
000000010010 => 101000000000 => 010111111111 => 101011111111
000001100000 => 000010000010 => 111101111101 => 111110111110
000001100110 => 101000001010 => 010111110101 => 101011111010
000001111110 => 100000111110 => 011111000001 => 101111100000
000001001000 => 001010000000 => 110101111111 => 111010111111
000001000010 => 100010000000 => 011101111111 => 101110111111
000110000000 => 000000100010 => 111111011101 => 111111101110
000110000110 => 100010001010 => 011101110101 => 101110111010
000110011000 => 001010001010 => 110101110101 => 111010111010
000110011110 => 101000101110 => 010111010001 => 101011101000
000110010010 => 101010001000 => 010101110111 => 101010111011
000111100110 => 101000111010 => 010111000101 => 101011100010
000111111000 => 001000111110 => 110111000001 => 111011100000
000111001110 => 101000110110 => 010111001001 => 101011100100
000111011010 => 111000110100 => 000111001011 => 100011100101
000100100000 => 000010100000 => 111101011111 => 111110101111
000100100110 => 101010000010 => 010101111101 => 101010111110
000100111110 => 101000011110 => 010111100001 => 101011110000
000100001000 => 001000100000 => 110111011111 => 111011101111
000100000010 => 100000100000 => 011111011111 => 101111101111
000101101000 => 001110000100 => 110001111011 => 111000111101
000101101110 => 111000010110 => 000111101001 => 100011110100
000101111010 => 111000011100 => 000111100011 => 100011110001
000101001010 => 110110000000 => 001001111111 => 100100111111
011000000000 => 000000001010 => 111111110101 => 111111111010
011000000110 => 100000101010 => 011111010101 => 101111101010
011000011000 => 001000101010 => 110111010101 => 111011101010
011000011110 => 100010101110 => 011101010001 => 101110101000
011000010010 => 101000101000 => 010111010111 => 101011101011
011001100000 => 000010101010 => 111101010101 => 111110101010
011001100110 => 101010101010 => 010101010101 => 101010101010
011001111000 => 001010101110 => 110101010001 => 111010101000
011001111110 => 101010111110 => 010101000001 => 101010100000
011001110010 => 101010101100 => 010101010011 => 101010101001
011001001000 => 001010101000 => 110101010111 => 111010101011
011001001110 => 101010100110 => 010101011001 => 101010101100
011001000010 => 100010101000 => 011101010111 => 101110101011
011001011010 => 111010100100 => 000101011011 => 100010101101
011110000110 => 100010111010 => 011101000101 => 101110100010
011110011000 => 001010111010 => 110101000101 => 111010100010
011110011110 => 101011101110 => 010100010001 => 101010001000
011110010010 => 101010111000 => 010101000111 => 101010100011
011111100000 => 000010111110 => 111101000001 => 111110100000
011111100110 => 101011111010 => 010100000101 => 101010000010
011111111110 => 101111111110 => 010000000001 => 101000000000
011111001000 => 001010111100 => 110101000011 => 111010100001
011111000010 => 100010111100 => 011101000011 => 101110100001
011111011010 => 111011110100 => 000100001011 => 100010000101
011100100110 => 101010110010 => 010101001101 => 101010100110
011100111000 => 001010110110 => 110101001001 => 111010100100
011100110010 => 101010110100 => 010101001011 => 101010100101
011100001110 => 100010110110 => 011101001001 => 101110100100
011100011010 => 110010110100 => 001101001011 => 100110100101
011101101000 => 001110110100 => 110001001011 => 111000100101
011101101110 => 111011010110 => 000100101001 => 100010010100
011101111010 => 111011011100 => 000100100011 => 100010010001
011101001010 => 110110110000 => 001001001111 => 100100100111
010010000000 => 000000101000 => 111111010111 => 111111101011
010010000110 => 100010100010 => 011101011101 => 101110101110
010010011000 => 001010100010 => 110101011101 => 111010101110
010010011110 => 101010001110 => 010101110001 => 101010111000
010010010010 => 101010100000 => 010101011111 => 101010101111
010011100110 => 101010011010 => 010101100101 => 101010110010
010011111000 => 001010011110 => 110101100001 => 111010110000
010011110010 => 101010011100 => 010101100011 => 101010110001
010011001110 => 101010010110 => 010101101001 => 101010110100
010011011010 => 111010010100 => 000101101011 => 100010110101
010000100000 => 000010001000 => 111101110111 => 111110111011
010000100110 => 101000100010 => 010111011101 => 101011101110
010000111110 => 100010011110 => 011101100001 => 101110110000
010000001000 => 001000001000 => 110111110111 => 111011111011
010000000010 => 100000001000 => 011111110111 => 101111111011
010001101000 => 001100100100 => 110011011011 => 111001101101
010001101110 => 110010010110 => 001101101001 => 100110110100
010001100010 => 100100100100 => 011011011011 => 101101101101
010001001010 => 110100100000 => 001011011111 => 100101101111
010110100000 => 000011100100 => 111100011011 => 111110001101
010110100110 => 101110010010 => 010001101101 => 101000110110
010110111110 => 111001011110 => 000110100001 => 100011010000
010110110010 => 101110010100 => 010001101011 => 101000110101
010110001000 => 001001100100 => 110110011011 => 111011001101
010110001110 => 100110010110 => 011001101001 => 101100110100
010110011010 => 110110010100 => 001001101011 => 100100110101
010111101000 => 001110011100 => 110001100011 => 111000110001
010111101110 => 111001110110 => 000110001001 => 100011000100
010111111010 => 111001111100 => 000110000011 => 100011000001
010111001010 => 110110011000 => 001001100111 => 100100110011
010100101110 => 110110000110 => 001001111001 => 100100111100
010100100010 => 100101100000 => 011010011111 => 101101001111
010100111010 => 110110001100 => 001001110011 => 100100111001
010100001010 => 110001100000 => 001110011111 => 100111001111
010101101010 => 111110001000 => 000001110111 => 100000111011
0010101010 => 1111000000 => 0000111111 => 1000011111
0010101100 => 0111000010 => 1000111101 => 1100011110
0010110100 => 0111000100 => 1000111011 => 1100011101
0010010100 => 0110100000 => 1001011111 => 1100101111
0011010100 => 0111001000 => 1000110111 => 1100011011
0101010100 => 0111100000 => 1000011111 => 1100001111
00101010101 => 11110000001 => 00001111110 => 00000111111
00101010111 => 11100000111 => 00011111000 => 00001111100
0010101110 => 1110000110 => 0001111001 => 1000111100
0010100000 => 0000110000 => 1111001111 => 1111100111
0011110100 => 0110011100 => 1001100011 => 1100110001
0000010100 => 0110000000 => 1001111111 => 1100111111
0111010100 => 0111011000 => 1000100111 => 1100010011
0000000010 => 1000000000 => 0111111111 => 1011111111
0000001110 => 1000000110 => 0111111001 => 1011111100
0000111110 => 1000011110 => 0111100001 => 1011110000
0011111110 => 1001111110 => 0110000001 => 1011000000
00000000000 => 00000000000 => 11111111111 => 11111111111
00000000010 => 10000000000 => 01111111111 => 10111111111
0000000100 => 0100000000 => 1011111111 => 1101111111
00000000110 => 10000000010 => 01111111101 => 10111111110
0000001010 => 1100000000 => 0011111111 => 1001111111
00000001110 => 10000000110 => 01111111001 => 10111111100
0000010110 => 1100000010 => 0011111101 => 1001111110
00000011110 => 10000001110 => 01111110001 => 10111111000
0000101110 => 1100000110 => 0011111001 => 1001111100
00000111110 => 10000011110 => 01111100001 => 10111110000
0001011110 => 1100001110 => 0011110001 => 1001111000
00001111110 => 10000111110 => 01111000001 => 10111100000
0010111110 => 1100011110 => 0011100001 => 1001110000
00011111110 => 10001111110 => 01110000001 => 10111000000
0101111110 => 1100111110 => 0011000001 => 1001100000
00111111110 => 10011111110 => 01100000001 => 10110000000
01111111110 => 10111111110 => 01000000001 => 10100000000
0010110010 => 1011000100 => 0100111011 => 1010011101
0010111000 => 0011000110 => 1100111001 => 1110011100
0011001010 => 1101001000 => 0010110111 => 1001011011
0011001100 => 0101001010 => 1010110101 => 1101011010
0011010010 => 1011001000 => 0100110111 => 1010011011
0011011000 => 0011001010 => 1100110101 => 1110011010
0011100010 => 1001001100 => 0110110011 => 1011011001
0011100100 => 0101001100 => 1010110011 => 1101011001
0011101000 => 0011001100 => 1100110011 => 1110011001
0011110000 => 0001001110 => 1110110001 => 1111011000
0100101010 => 1110100000 => 0001011111 => 1000101111
0100101100 => 0110100010 => 1001011101 => 1100101110
0100110100 => 0110100100 => 1001011011 => 1100101101
0101001100 => 0101100010 => 1010011101 => 1101001110
0101010010 => 1011100000 => 0100011111 => 1010001111
0101011000 => 0011100010 => 1100011101 => 1110001110
0101100100 => 0101100100 => 1010011011 => 1101001101
0101110000 => 0001100110 => 1110011001 => 1111001100
0110001010 => 1100101000 => 0011010111 => 1001101011
0110001100 => 0100101010 => 1011010101 => 1101101010
0110010100 => 0110101000 => 1001010111 => 1100101011
0110100010 => 1001101000 => 0110010111 => 1011001011
0110100100 => 0101101000 => 1010010111 => 1101001011
0110101000 => 0011101000 => 1100010111 => 1110001011
0110110000 => 0001101010 => 1110010101 => 1111001010
0111000100 => 0100101100 => 1011010011 => 1101101001
0111010000 => 0001101100 => 1110010011 => 1111001001
001010101010 => 111110000000 => 000001111111 => 100000111111
001010101100 => 011110000010 => 100001111101 => 110000111110
001010110100 => 011110000100 => 100001111011 => 110000111101
001010111000 => 001110000110 => 110001111001 => 111000111100
001011001010 => 110110001000 => 001001110111 => 100100111011
001011001100 => 010110001010 => 101001110101 => 110100111010
001011010100 => 011110001000 => 100001110111 => 110000111011
001011011000 => 001110001010 => 110001110101 => 111000111010
001011100100 => 010110001100 => 101001110011 => 110100111001
001011101000 => 001110001100 => 110001110011 => 111000111001
001011110000 => 000110001110 => 111001110001 => 111100111000
001100101100 => 011010010010 => 100101101101 => 110010110110
001100110100 => 011010010100 => 100101101011 => 110010110101
001100111000 => 001010010110 => 110101101001 => 111010110100
001101001100 => 010110010010 => 101001101101 => 110100110110
001101010100 => 011110010000 => 100001101111 => 110000110111
001101011000 => 001110010010 => 110001101101 => 111000110110
001101100100 => 010110010100 => 101001101011 => 110100110101
001101101000 => 001110010100 => 110001101011 => 111000110101
001101110000 => 000110010110 => 111001101001 => 111100110100
001110001010 => 110010011000 => 001101100111 => 100110110011
001110010100 => 011010011000 => 100101100111 => 110010110011
001110011000 => 001010011010 => 110101100101 => 111010110010
001110100010 => 100110011000 => 011001100111 => 101100110011
001110100100 => 010110011000 => 101001100111 => 110100110011
001110101000 => 001110011000 => 110001100111 => 111000110011
001110110000 => 000110011010 => 111001100101 => 111100110010
001111000010 => 100010011100 => 011101100011 => 101110110001
001111000100 => 010010011100 => 101101100011 => 110110110001
001111001000 => 001010011100 => 110101100011 => 111010110001
001111010000 => 000110011100 => 111001100011 => 111100110001
001111100000 => 000010011110 => 111101100001 => 111110110000
010010101100 => 011101000010 => 100010111101 => 110001011110
010010110100 => 011101000100 => 100010111011 => 110001011101
010011001100 => 010101001010 => 101010110101 => 110101011010
010011010100 => 011101001000 => 100010110111 => 110001011011
010011011000 => 001101001010 => 110010110101 => 111001011010
010011100100 => 010101001100 => 101010110011 => 110101011001
010011101000 => 001101001100 => 110010110011 => 111001011001
010011110000 => 000101001110 => 111010110001 => 111101011000
010100101100 => 011011000010 => 100100111101 => 110010011110
010100110100 => 011011000100 => 100100111011 => 110010011101
010100111000 => 001011000110 => 110100111001 => 111010011100
010101001100 => 010111000010 => 101000111101 => 110100011110
010101010100 => 011111000000 => 100000111111 => 110000011111
010101011000 => 001111000010 => 110000111101 => 111000011110
010101100100 => 010111000100 => 101000111011 => 110100011101
010101101000 => 001111000100 => 110000111011 => 111000011101
010101110000 => 000111000110 => 111000111001 => 111100011100
010110001010 => 110011001000 => 001100110111 => 100110011011
010110001100 => 010011001010 => 101100110101 => 110110011010
010110010100 => 011011001000 => 100100110111 => 110010011011
010110011000 => 001011001010 => 110100110101 => 111010011010
010110100010 => 100111001000 => 011000110111 => 101100011011
010110100100 => 010111001000 => 101000110111 => 110100011011
010110101000 => 001111001000 => 110000110111 => 111000011011
010110110000 => 000111001010 => 111000110101 => 111100011010
010111000010 => 100011001100 => 011100110011 => 101110011001
010111000100 => 010011001100 => 101100110011 => 110110011001
010111001000 => 001011001100 => 110100110011 => 111010011001
010111010000 => 000111001100 => 111000110011 => 111100011001
010111100000 => 000011001110 => 111100110001 => 111110011000
011000101100 => 011001010010 => 100110101101 => 110011010110
011000110100 => 011001010100 => 100110101011 => 110011010101
011000111000 => 001001010110 => 110110101001 => 111011010100
011001001100 => 010101010010 => 101010101101 => 110101010110
011001010100 => 011101010000 => 100010101111 => 110001010111
011001011000 => 001101010010 => 110010101101 => 111001010110
011001100100 => 010101010100 => 101010101011 => 110101010101
011001101000 => 001101010100 => 110010101011 => 111001010101
011001110000 => 000101010110 => 111010101001 => 111101010100
011010001100 => 010011010010 => 101100101101 => 110110010110
011010010100 => 011011010000 => 100100101111 => 110010010111
011010011000 => 001011010010 => 110100101101 => 111010010110
011010100100 => 010111010000 => 101000101111 => 110100010111
011010101000 => 001111010000 => 110000101111 => 111000010111
011011000100 => 010011010100 => 101100101011 => 110110010101
011011001000 => 001011010100 => 110100101011 => 111010010101
011011100000 => 000011010110 => 111100101001 => 111110010100
011100010100 => 011001011000 => 100110100111 => 110011010011
011100011000 => 001001011010 => 110110100101 => 111011010010
011100100100 => 010101011000 => 101010100111 => 110101010011
011100101000 => 001101011000 => 110010100111 => 111001010011
011100110000 => 000101011010 => 111010100101 => 111101010010
011101000100 => 010011011000 => 101100100111 => 110110010011
011101001000 => 001011011000 => 110100100111 => 111010010011
011101100000 => 000011011010 => 111100100101 => 111110010010
011110000010 => 100001011100 => 011110100011 => 101111010001
011110000100 => 010001011100 => 101110100011 => 110111010001
011110001000 => 001001011100 => 110110100011 => 111011010001
011110010000 => 000101011100 => 111010100011 => 111101010001
011110100000 => 000011011100 => 111100100011 => 111110010001
011111000000 => 000001011110 => 111110100001 => 111111010000
10101010101 => 11111000001 => 00000111110 => 00000011111
10101010010 => 10111100000 => 01000011111 => 10100001111
10010001001 => 01001010001 => 10110101110 => 01011010111
10010101001 => 01110100001 => 10001011110 => 01000101111
10010010001 => 00101010001 => 11010101110 => 01101010111
10001000101 => 10010010001 => 01101101110 => 00110110111
10001001001 => 01010010001 => 10101101110 => 01010110111
10000100001 => 00010001001 => 11101110110 => 01110111011
01001010101 => 11101000001 => 00010111110 => 00001011111
01000101010 => 11100100000 => 00011011111 => 10001101111
01000010001 => 00100010001 => 11011101110 => 01101110111
01000001000 => 00100001000 => 11011110111 => 11101111011
01010001010 => 11001100000 => 00110011111 => 10011001111
01010100101 => 10111000001 => 01000111110 => 00100011111
01010101001 => 01111000001 => 10000111110 => 01000011111
01010101010 => 11111000000 => 00000111111 => 10000011111
01001010100 => 01110100000 => 10001011111 => 11000101111
01000100001 => 00010010001 => 11101101110 => 01110110111
01000010000 => 00010001000 => 11101110111 => 11110111011
00100010101 => 11001000001 => 00110111110 => 00011011111
00100001001 => 01000100001 => 10111011110 => 01011101111
00100000100 => 01000010000 => 10111101111 => 11011110111
00100101001 => 01101000001 => 10010111110 => 01001011111
00100010001 => 00100100001 => 11011011110 => 01101101111
00100001000 => 00100010000 => 11011101111 => 11101110111
00101010001 => 00111000001 => 11000111110 => 01100011111
00101010010 => 10111000000 => 01000111111 => 10100011111
00100100001 => 00010100001 => 11101011110 => 01110101111
00100010000 => 00010010000 => 11101101111 => 11110110111
00010000101 => 10001000001 => 01110111110 => 00111011111
00010001010 => 11001000000 => 00110111111 => 10011011111
00010010100 => 01101000000 => 10010111111 => 11001011111
00010100010 => 10011000000 => 01100111111 => 10110011111
00010101000 => 00111000000 => 11000111111 => 11100011111
00001000001 => 00001000001 => 11110111110 => 01111011111
00001000010 => 10001000000 => 01110111111 => 10111011111
0100000000 => 0000000100 => 1111111011 => 1111111101
0100000111 => 0000100111 => 1111011000 => 0111101100
0100011111 => 0010011111 => 1101100000 => 0110110000
0100111111 => 0100111111 => 1011000000 => 0101100000
0101111111 => 1001111111 => 0110000000 => 0011000000
0100001011 => 1000100011 => 0111011100 => 0011101110
0100101111 => 1010001111 => 0101110000 => 0010111000
01001111111 => 01001111111 => 10110000000 => 01011000000
0110111111 => 1010111111 => 0101000000 => 0010100000
0101010110 => 1111000010 => 0000111101 => 1000011110
0101011001 => 0111000101 => 1000111010 => 0100011101
0101011010 => 1111000100 => 0000111011 => 1000011101
0101011100 => 0111000110 => 1000111001 => 1100011100
0101100101 => 1011001001 => 0100110110 => 0010011011
0101100110 => 1011001010 => 0100110101 => 1010011010
0101101001 => 0111001001 => 1000110110 => 0100011011
0101101010 => 1111001000 => 0000110111 => 1000011011
0101101100 => 0111001010 => 1000110101 => 1100011010
0101110001 => 0011001101 => 1100110010 => 0110011001
0101110010 => 1011001100 => 0100110011 => 1010011001
0101110100 => 0111001100 => 1000110011 => 1100011001
0101111000 => 0011001110 => 1100110001 => 1110011000
0110010101 => 1101010001 => 0010101110 => 0001010111
0110010110 => 1101010010 => 0010101101 => 1001010110
0110011001 => 0101010101 => 1010101010 => 0101010101
0110011010 => 1101010100 => 0010101011 => 1001010101
0110011100 => 0101010110 => 1010101001 => 1101010100
0110100110 => 1011010010 => 0100101101 => 1010010110
0110101001 => 0111010001 => 1000101110 => 0100010111
0110101010 => 1111010000 => 0000101111 => 1000010111
0110101100 => 0111010010 => 1000101101 => 1100010110
0110110001 => 0011010101 => 1100101010 => 0110010101
0110110010 => 1011010100 => 0100101011 => 1010010101
0110110100 => 0111010100 => 1000101011 => 1100010101
0111000101 => 1001011001 => 0110100110 => 0011010011
0111000110 => 1001011010 => 0110100101 => 1011010010
0111001001 => 0101011001 => 1010100110 => 0101010011
0111001010 => 1101011000 => 0010100111 => 1001010011
0111001100 => 0101011010 => 1010100101 => 1101010010
0111010010 => 1011011000 => 0100100111 => 1010010011
0111011000 => 0011011010 => 1100100101 => 1110010010
0111100010 => 1001011100 => 0110100011 => 1011010001
0111100100 => 0101011100 => 1010100011 => 1101010001
0111101000 => 0011011100 => 1100100011 => 1110010001
0111110000 => 0001011110 => 1110100001 => 1111010000
010101010110 => 111110000010 => 000001111101 => 100000111110
010101011001 => 011110000101 => 100001111010 => 010000111101
010101011010 => 111110000100 => 000001111011 => 100000111101
010101011100 => 011110000110 => 100001111001 => 110000111100
010101100101 => 101110001001 => 010001110110 => 001000111011
010101100110 => 101110001010 => 010001110101 => 101000111010
010101101001 => 011110001001 => 100001110110 => 010000111011
010101101100 => 011110001010 => 100001110101 => 110000111010
010101110001 => 001110001101 => 110001110010 => 011000111001
010101110010 => 101110001100 => 010001110011 => 101000111001
010101110100 => 011110001100 => 100001110011 => 110000111001
010101111000 => 001110001110 => 110001110001 => 111000111000
010110010101 => 110110010001 => 001001101110 => 000100110111
010110010110 => 110110010010 => 001001101101 => 100100110110
010110011001 => 010110010101 => 101001101010 => 010100110101
010110011100 => 010110010110 => 101001101001 => 110100110100
010110100101 => 101110010001 => 010001101110 => 001000110111
010110101001 => 011110010001 => 100001101110 => 010000110111
010110101010 => 111110010000 => 000001101111 => 100000110111
010110101100 => 011110010010 => 100001101101 => 110000110110
010110110100 => 011110010100 => 100001101011 => 110000110101
010111000101 => 100110011001 => 011001100110 => 001100110011
010111000110 => 100110011010 => 011001100101 => 101100110010
010111001001 => 010110011001 => 101001100110 => 010100110011
010111001100 => 010110011010 => 101001100101 => 110100110010
010111010001 => 001110011001 => 110001100110 => 011000110011
010111010010 => 101110011000 => 010001100111 => 101000110011
010111010100 => 011110011000 => 100001100111 => 110000110011
010111100001 => 000110011101 => 111001100010 => 011100110001
010111100100 => 010110011100 => 101001100011 => 110100110001
010111110000 => 000110011110 => 111001100001 => 111100110000
011001010110 => 111010100010 => 000101011101 => 100010101110
011001011001 => 011010100101 => 100101011010 => 010010101101
011001011100 => 011010100110 => 100101011001 => 110010101100
011001100101 => 101010101001 => 010101010110 => 001010101011
011001101001 => 011010101001 => 100101010110 => 010010101011
011001101010 => 111010101000 => 000101010111 => 100010101011
011001101100 => 011010101010 => 100101010101 => 110010101010
011001110001 => 001010101101 => 110101010010 => 011010101001
011001110100 => 011010101100 => 100101010011 => 110010101001
011010010110 => 110110100010 => 001001011101 => 100100101110
011010011001 => 010110100101 => 101001011010 => 010100101101
011010011010 => 110110100100 => 001001011011 => 100100101101
011010011100 => 010110100110 => 101001011001 => 110100101100
011010100110 => 101110100010 => 010001011101 => 101000101110
011010101001 => 011110100001 => 100001011110 => 010000101111
011010101010 => 111110100000 => 000001011111 => 100000101111
011010101100 => 011110100010 => 100001011101 => 110000101110
011010110001 => 001110100101 => 110001011010 => 011000101101
011010110010 => 101110100100 => 010001011011 => 101000101101
011010110100 => 011110100100 => 100001011011 => 110000101101
011011000101 => 100110101001 => 011001010110 => 001100101011
011011000110 => 100110101010 => 011001010101 => 101100101010
011011001001 => 010110101001 => 101001010110 => 010100101011
011011001010 => 110110101000 => 001001010111 => 100100101011
011011001100 => 010110101010 => 101001010101 => 110100101010
011011010010 => 101110101000 => 010001010111 => 101000101011
011011010100 => 011110101000 => 100001010111 => 110000101011
011011011000 => 001110101010 => 110001010101 => 111000101010
011011100001 => 000110101101 => 111001010010 => 011100101001
011011100010 => 100110101100 => 011001010011 => 101100101001
011011100100 => 010110101100 => 101001010011 => 110100101001
011011110000 => 000110101110 => 111001010001 => 111100101000
011100010110 => 110010110010 => 001101001101 => 100110100110
011100011001 => 010010110101 => 101101001010 => 010110100101
011100011100 => 010010110110 => 101101001001 => 110110100100
011100101001 => 011010110001 => 100101001110 => 010010100111
011100101010 => 111010110000 => 000101001111 => 100010100111
011100101100 => 011010110010 => 100101001101 => 110010100110
011100110001 => 001010110101 => 110101001010 => 011010100101
011100110100 => 011010110100 => 100101001011 => 110010100101
011101000101 => 100110110001 => 011001001110 => 001100100111
011101001001 => 010110110001 => 101001001110 => 010100100111
011101001100 => 010110110010 => 101001001101 => 110100100110
011101010001 => 001110110001 => 110001001110 => 011000100111
011101010010 => 101110110000 => 010001001111 => 101000100111
011101010100 => 011110110000 => 100001001111 => 110000100111
011101011000 => 001110110010 => 110001001101 => 111000100110
011101100001 => 000110110101 => 111001001010 => 011100100101
011101100100 => 010110110100 => 101001001011 => 110100100101
011101110000 => 000110110110 => 111001001001 => 111100100100
011110000101 => 100010111001 => 011101000110 => 001110100011
011110001010 => 110010111000 => 001101000111 => 100110100011
011110001100 => 010010111010 => 101101000101 => 110110100010
011110010001 => 001010111001 => 110101000110 => 011010100011
011110010100 => 011010111000 => 100101000111 => 110010100011
011110100001 => 000110111001 => 111001000110 => 011100100011
011110100010 => 100110111000 => 011001000111 => 101100100011
011110100100 => 010110111000 => 101001000111 => 110100100011
011110101000 => 001110111000 => 110001000111 => 111000100011
011110110000 => 000110111010 => 111001000101 => 111100100010
011111000001 => 000010111101 => 111101000010 => 011110100001
011111000100 => 010010111100 => 101101000011 => 110110100001
011111010000 => 000110111100 => 111001000011 => 111100100001
0100000100 => 0100001000 => 1011110111 => 1101111011
0011100110 => 1010011010 => 0101100101 => 1010110010
0011101010 => 1110011000 => 0001100111 => 1000110011
0011101100 => 0110011010 => 1001100101 => 1100110010
0010110110 => 1110001010 => 0001110101 => 1000111010
0011110010 => 1010011100 => 0101100011 => 1010110001
0001110110 => 1100011010 => 0011100101 => 1001110010
0100111010 => 1101001100 => 0010110011 => 1001011001
0010111010 => 1110001100 => 0001110011 => 1000111001
0011111000 => 0010011110 => 1101100001 => 1110110000
0001111100 => 0100011110 => 1011100001 => 1101110000
001111000110 => 100100111010 => 011011000101 => 101101100010
001111001010 => 110100111000 => 001011000111 => 100101100011
100111001100 => 010101011010 => 101010100101 => 110101010010
001111001100 => 010100111010 => 101011000101 => 110101100010
001011010110 => 111100010010 => 000011101101 => 100001110110
001111010010 => 101100111000 => 010011000111 => 101001100011
100111010100 => 011101011000 => 100010100111 => 110001010011
001111010100 => 011100111000 => 100011000111 => 110001100011
000111010110 => 111000110010 => 000111001101 => 100011100110
001011011010 => 111100010100 => 000011101011 => 100001110101
100111011000 => 001101011010 => 110010100101 => 111001010010
001111011000 => 001100111010 => 110011000101 => 111001100010
100011011100 => 011001010110 => 100110101001 => 110011010100
010011011100 => 011010010110 => 100101101001 => 110010110100
001011011100 => 011100010110 => 100011101001 => 110001110100
000111011100 => 011000110110 => 100111001001 => 110011100100
000011011110 => 110000101110 => 001111010001 => 100111101000
001101100110 => 101100101010 => 010011010101 => 101001101010
001101101010 => 111100101000 => 000011010111 => 100001101011
100101101100 => 011101001010 => 100010110101 => 110001011010
001101101100 => 011100101010 => 100011010101 => 110001101010
100111100100 => 010101011100 => 101010100011 => 110101010001
001111100100 => 010100111100 => 101011000011 => 110101100001
010011101010 => 111010011000 => 000101100111 => 100010110011
001011101010 => 111100011000 => 000011100111 => 100001110011
001111101000 => 001100111100 => 110011000011 => 111001100001
000111101010 => 111000111000 => 000111000111 => 100011100011
100011101100 => 011001011010 => 100110100101 => 110011010010
010011101100 => 011010011010 => 100101100101 => 110010110010
001011101100 => 011100011010 => 100011100101 => 110001110010
000011101110 => 110000110110 => 001111001001 => 100111100100
101001110100 => 011011001100 => 100100110011 => 110010011001
001001110110 => 110100011010 => 001011100101 => 100101110010
001101110010 => 101100101100 => 010011010011 => 101001101001
100101110100 => 011101001100 => 100010110011 => 110001011001
001101110100 => 011100101100 => 100011010011 => 110001101001
000101110110 => 111000011010 => 000111100101 => 100011110010
100111110000 => 000101011110 => 111010100001 => 111101010000
001111110000 => 000100111110 => 111011000001 => 111101100000
100011110100 => 011001011100 => 100110100011 => 110011010001
010011110100 => 011010011100 => 100101100011 => 110010110001
001011110100 => 011100011100 => 100011100011 => 110001110001
000111110100 => 011000111100 => 100111000011 => 110011100001
110001111000 => 001001101110 => 110110010001 => 111011001000
101001111000 => 001011001110 => 110100110001 => 111010011000
100101111000 => 001101001110 => 110010110001 => 111001011000
001101111000 => 001100101110 => 110011010001 => 111001101000
100011111000 => 001001011110 => 110110100001 => 111011010000
001011111000 => 001100011110 => 110011100001 => 111001110000
000011111010 => 110000111100 => 001111000011 => 100111100001
010001111100 => 010010011110 => 101101100001 => 110110110000
001001111100 => 010100011110 => 101011100001 => 110101110000
000101111100 => 011000011110 => 100111100001 => 110011110000
000011111100 => 010000111110 => 101111000001 => 110111100000
0000000101 => 1000000001 => 0111111110 => 0011111111
0000011101 => 1000001101 => 0111110010 => 0011111001
0001111101 => 1000111101 => 0111000010 => 0011100001
00000000101 => 10000000001 => 01111111110 => 00111111111
0000001001 => 0100000001 => 1011111110 => 0101111111
0000010101 => 1100000001 => 0011111110 => 0001111111
0000101101 => 1100000101 => 0011111010 => 0001111101
00000111101 => 10000011101 => 01111100010 => 00111110001
0010111101 => 1100011101 => 0011100010 => 0001110001
00011111101 => 10001111101 => 01110000010 => 00111000001
11111111101 => 11111111101 => 00000000010 => 00000000001
100101010101 => 111101000001 => 000010111110 => 000001011111
100101011001 => 011101000101 => 100010111010 => 010001011101
100101100101 => 101101001001 => 010010110110 => 001001011011
100101101001 => 011101001001 => 100010110110 => 010001011011
100101110001 => 001101001101 => 110010110010 => 011001011001
100110101001 => 011101010001 => 100010101110 => 010001010111
100111000101 => 100101011001 => 011010100110 => 001101010011
100111001001 => 010101011001 => 101010100110 => 010101010011
101001010101 => 111011000001 => 000100111110 => 000010011111
101001101001 => 011011001001 => 100100110110 => 010010011011
101010011001 => 010111000101 => 101000111010 => 010100011101
101010100101 => 101111000001 => 010000111110 => 001000011111
101010101001 => 011111000001 => 100000111110 => 010000011111
101011001001 => 010111001001 => 101000110110 => 010100011011
101011100001 => 000111001101 => 111000110010 => 011100011001
101100101001 => 011011010001 => 100100101110 => 010010010111
101101001001 => 010111010001 => 101000101110 => 010100010111
110001010101 => 111001100001 => 000110011110 => 000011001111
110001011001 => 011001100101 => 100110011010 => 010011001101
110001100101 => 101001101001 => 010110010110 => 001011001011
110001101001 => 011001101001 => 100110010110 => 010011001011
110001110001 => 001001101101 => 110110010010 => 011011001001
110010011001 => 010101100101 => 101010011010 => 010101001101
110010100101 => 101101100001 => 010010011110 => 001001001111
110010101001 => 011101100001 => 100010011110 => 010001001111
110011000101 => 100101101001 => 011010010110 => 001101001011
110011001001 => 010101101001 => 101010010110 => 010101001011
110011010001 => 001101101001 => 110010010110 => 011001001011
110011100001 => 000101101101 => 111010010010 => 011101001001
110100101001 => 011011100001 => 100100011110 => 010010001111
110100110001 => 001011100101 => 110100011010 => 011010001101
110101000101 => 100111100001 => 011000011110 => 001100001111
110101001001 => 010111100001 => 101000011110 => 010100001111
110101010001 => 001111100001 => 110000011110 => 011000001111
110101100001 => 000111100101 => 111000011010 => 011100001101
110110000101 => 100011101001 => 011100010110 => 001110001011
110110010001 => 001011101001 => 110100010110 => 011010001011
110110100001 => 000111101001 => 111000010110 => 011100001011
110111000001 => 000011101101 => 111100010010 => 011110001001
111000101001 => 011001110001 => 100110001110 => 010011000111
111001001001 => 010101110001 => 101010001110 => 010101000111
111001010001 => 001101110001 => 110010001110 => 011001000111
111010100001 => 000111110001 => 111000001110 => 011100000111
111100000101 => 100001111001 => 011110000110 => 001111000011
111100010001 => 001001111001 => 110110000110 => 011011000011
111100100001 => 000101111001 => 111010000110 => 011101000011
111101000001 => 000011111001 => 111100000110 => 011110000011
0111000011 => 0001011011 => 1110100100 => 0111010010
0011110001 => 0010011101 => 1101100010 => 0110110001
110101000011 => 000111100011 => 111000011100 => 011100001110
110100000111 => 000011100111 => 111100011000 => 011110001100
110011000011 => 000101101011 => 111010010100 => 011101001010
110110000011 => 000011101011 => 111100010100 => 011110001010
110000111100 => 010001101110 => 101110010001 => 110111001000
110000001111 => 000001101111 => 111110010000 => 011111001000
011101000011 => 000110110011 => 111001001100 => 011100100110
011100000111 => 000010110111 => 111101001000 => 011110100100
111001000011 => 000101110011 => 111010001100 => 011101000110
111010000011 => 000011110011 => 111100001100 => 011110000110
111000011100 => 010001110110 => 101110001001 => 110111000100
001111000011 => 000100111011 => 111011000100 => 011101100010
011110000011 => 000010111011 => 111101000100 => 011110100010
111100000011 => 000001111011 => 111110000100 => 011111000010
000111110001 => 001000111101 => 110111000010 => 011011100001
001111100001 => 000100111101 => 111011000010 => 011101100001
0011101101 => 1100110101 => 0011001010 => 0001100101
0011011001 => 0110010101 => 1001101010 => 0100110101
0001000001 => 0000100001 => 1111011110 => 0111101111
00100000001 => 00000010001 => 11111101110 => 01111110111
0111010101 => 1110110001 => 0001001110 => 0000100111
0111010011 => 0110110011 => 1001001100 => 0100100110
0111001101 => 1010110101 => 0101001010 => 0010100101
0111011001 => 0110110101 => 1001001010 => 0100100101
0111000111 => 0010110111 => 1101001000 => 0110100100
0011110101 => 1100111001 => 0011000110 => 0001100011
0011110011 => 0100111011 => 1011000100 => 0101100010
0011111001 => 0100111101 => 1011000010 => 0101100001
0000111111 => 0000111111 => 1111000000 => 0111100000
110100011101 => 100111001101 => 011000110010 => 001100011001
110011001101 => 101011010101 => 010100101010 => 001010010101
110110001101 => 100111010101 => 011000101010 => 001100010101
110000111101 => 100011011101 => 011100100010 => 001110010001
011100011101 => 100101101101 => 011010010010 => 001101001001
111000011101 => 100011101101 => 011100010010 => 001110001001
001111001101 => 101001110101 => 010110001010 => 001011000101
011110001101 => 100101110101 => 011010001010 => 001101000101
111100001101 => 100011110101 => 011100001010 => 001110000101
000011111101 => 100001111101 => 011110000010 => 001111000001
11100000010 => 10000011100 => 01111100011 => 10111110001
11111000010 => 10001111100 => 01110000011 => 10111000001
11111110010 => 10111111100 => 01000000011 => 10100000001
0001110100 => 0110001100 => 1001110011 => 1100111001
0001101100 => 0110001010 => 1001110101 => 1100111010
0100011100 => 0100100110 => 1011011001 => 1101101100
0001011100 => 0110000110 => 1001111001 => 1100111100
0000111100 => 0100001110 => 1011110001 => 1101111000
0001101010 => 1110001000 => 0001110111 => 1000111011
0000111010 => 1100001100 => 0011110011 => 1001111001
0011000110 => 1001001010 => 0110110101 => 1011011010
0100010110 => 1100100010 => 0011011101 => 1001101110
0010010110 => 1101000010 => 0010111101 => 1001011110
0001010110 => 1110000010 => 0001111101 => 1000111110
0000110110 => 1100001010 => 0011110101 => 1001111010
0010001110 => 1001000110 => 0110111001 => 1011011100
000111010100 => 011100011000 => 100011100111 => 110001110011
000110110100 => 011100010100 => 100011101011 => 110001110101
010001110100 => 011001001100 => 100110110011 => 110011011001
001001110100 => 011010001100 => 100101110011 => 110010111001
000101110100 => 011100001100 => 100011110011 => 110001111001
000110101100 => 011100010010 => 100011101101 => 110001110110
010001101100 => 011001001010 => 100110110101 => 110011011010
001001101100 => 011010001010 => 100101110101 => 110010111010
000101101100 => 011100001010 => 100011110101 => 110001111010
010100011100 => 010011000110 => 101100111001 => 110110011100
001010011100 => 010110000110 => 101001111001 => 110100111100
010001011100 => 011001000110 => 100110111001 => 110011011100
001001011100 => 011010000110 => 100101111001 => 110010111100
010000111100 => 010001001110 => 101110110001 => 110111011000
001000111100 => 010010001110 => 101101110001 => 110110111000
000100111100 => 010100001110 => 101011110001 => 110101111000
010001101010 => 111001001000 => 000110110111 => 100011011011
000101101010 => 111100001000 => 000011110111 => 100001111011
000011101010 => 111000011000 => 000111100111 => 100011110011
000010111010 => 111000001100 => 000111110011 => 100011111001
000001111010 => 110000011100 => 001111100011 => 100111110001
010101000110 => 100111000010 => 011000111101 => 101100011110
001101000110 => 100110010010 => 011001101101 => 101100110110
010011000110 => 100101001010 => 011010110101 => 101101011010
000111000110 => 100100011010 => 011011100101 => 101101110010
010100010110 => 110011000010 => 001100111101 => 100110011110
001100010110 => 110010010010 => 001101101101 => 100110110110
001010010110 => 110110000010 => 001001111101 => 100100111110
010001010110 => 111001000010 => 000110111101 => 100011011110
000101010110 => 111100000010 => 000011111101 => 100001111110
000011010110 => 111000010010 => 000111101101 => 100011110110
010000110110 => 110001001010 => 001110110101 => 100111011010
000100110110 => 110100001010 => 001011110101 => 100101111010
000010110110 => 111000001010 => 000111110101 => 100011111010
000001110110 => 110000011010 => 001111100101 => 100111110010
010100001110 => 100011000110 => 011100111001 => 101110011100
001100001110 => 100010010110 => 011101101001 => 101110110100
001010001110 => 100110000110 => 011001111001 => 101100111100
001000101110 => 110010000110 => 001101111001 => 100110111100
000010101110 => 111000000110 => 000111111001 => 100011111100
000001101110 => 110000010110 => 001111101001 => 100111110100
010000011110 => 100001001110 => 011110110001 => 101111011000
001000011110 => 100010001110 => 011101110001 => 101110111000
000100011110 => 100100001110 => 011011110001 => 101101111000
000001011110 => 110000001110 => 001111110001 => 100111111000
000000111110 => 100000011110 => 011111100001 => 101111110000
0110111001 => 0110101101 => 1001010010 => 0100101001
0001101001 => 0110001001 => 1001110110 => 0100111011
00000101101 => 11000000101 => 00111111010 => 00011111101
00000010101 => 11000000001 => 00111111110 => 00011111111
0000010001 => 0010000001 => 1101111110 => 0110111111
00000001001 => 01000000001 => 10111111110 => 01011111111
11111111001 => 01111111101 => 10000000010 => 01000000001
11111111111 => 11111111111 => 00000000000 => 00000000000
0100111001 => 0101001101 => 1010110010 => 0101011001
0101111001 => 0110011101 => 1001100010 => 0100110001
0100110001 => 0010100101 => 1101011010 => 0110101101
0110011011 => 1010101011 => 0101010100 => 0010101010
0110111011 => 1101011011 => 0010100100 => 0001010010
0100111011 => 1010011011 => 0101100100 => 0010110010
0110010011 => 0101010011 => 1010101100 => 0101010110
0100010011 => 0100100011 => 1011011100 => 0101101110
0110110011 => 0110101011 => 1001010100 => 0100101010
0101110011 => 0110011011 => 1001100100 => 0100110010
0110100011 => 0011010011 => 1100101100 => 0110010110
0101100011 => 0011001011 => 1100110100 => 0110011010
0101000011 => 0001100011 => 1110011100 => 0111001110
0110010111 => 1010100111 => 0101011000 => 0010101100
0110110111 => 1101010111 => 0010101000 => 0001010100
0100110111 => 1010010111 => 0101101000 => 0010110100
0110100111 => 0110100111 => 1001011000 => 0100101100
0101100111 => 0110010111 => 1001101000 => 0100110100
0101001111 => 0110001111 => 1001110000 => 0100111000
100100111001 => 010101001101 => 101010110010 => 010101011001
101000111001 => 010011001101 => 101100110010 => 010110011001
100110011011 => 101010101011 => 010101010100 => 001010101010
100100011011 => 100101001011 => 011010110100 => 001101011010
101100011011 => 100110101011 => 011001010100 => 001100101010
101000011011 => 100011001011 => 011100110100 => 001110011010
100100111011 => 101010011011 => 010101100100 => 001010110010
101100111011 => 101101011011 => 010010100100 => 001001010010
101000111011 => 100110011011 => 011001100100 => 001100110010
100110010011 => 010101010011 => 101010101100 => 010101010110
101100010011 => 010011010011 => 101100101100 => 010110010110
101110110011 => 011101101011 => 100010010100 => 010001001010
100100110011 => 010101001011 => 101010110100 => 010101011010
101000110011 => 010011001011 => 101100110100 => 010110011010
100110100011 => 001101010011 => 110010101100 => 011001010110
101100100011 => 001011010011 => 110100101100 => 011010010110
100101100011 => 001101001011 => 110010110100 => 011001011010
101001100011 => 001011001011 => 110100110100 => 011010011010
101101000011 => 000111010011 => 111000101100 => 011100010110
101011000011 => 000111001011 => 111000110100 => 011100011010
100110010111 => 101010100111 => 010101011000 => 001010101100
100100010111 => 100101000111 => 011010111000 => 001101011100
101100010111 => 100110100111 => 011001011000 => 001100101100
100100110111 => 101010010111 => 010101101000 => 001010110100
101000110111 => 100110010111 => 011001101000 => 001100110100
100100100111 => 010101000111 => 101010111000 => 010101011100
101000100111 => 010011000111 => 101100111000 => 010110011100
100101000111 => 001101000111 => 110010111000 => 011001011100
101010000111 => 000111000111 => 111000111000 => 011100011100
100100101111 => 101010001111 => 010101110000 => 001010111000
101100101111 => 101101001111 => 010010110000 => 001001011000
101000101111 => 100110001111 => 011001110000 => 001100111000
100101101111 => 110100101111 => 001011010000 => 000101101000
101011001111 => 011100101111 => 100011010000 => 010001101000
100110101010 => 111101010000 => 000010101111 => 100001010111
101001101010 => 111011001000 => 000100110111 => 100010011011
100101101010 => 111101001000 => 000010110111 => 100001011011
100011101010 => 111001011000 => 000110100111 => 100011010011
101010011010 => 110111000100 => 001000111011 => 100100011101
100110011010 => 110101010100 => 001010101011 => 100101010101
101001011010 => 111011000100 => 000100111011 => 100010011101
100101011010 => 111101000100 => 000010111011 => 100001011101
101000111010 => 110011001100 => 001100110011 => 100110011001
101010100110 => 101111000010 => 010000111101 => 101000011110
100110100110 => 101101010010 => 010010101101 => 101001010110
101001100110 => 101011001010 => 010100110101 => 101010011010
100101100110 => 101101001010 => 010010110101 => 101001011010
101010010110 => 110111000010 => 001000111101 => 100100011110
100110010110 => 110101010010 => 001010101101 => 100101010110
101001010110 => 111011000010 => 000100111101 => 100010011110
101010001110 => 100111000110 => 011000111001 => 101100011100
100011101001 => 011001011001 => 100110100110 => 010011010011
100100110101 => 110101001001 => 001010110110 => 000101011011
100101001101 => 101101000101 => 010010111010 => 001001011101
101000101101 => 110011000101 => 001100111010 => 000110011101
100100101101 => 110101000101 => 001010111010 => 000101011101
100010101101 => 111001000101 => 000110111010 => 000011011101
100100011101 => 100101001101 => 011010110010 => 001101011001
100001011101 => 110001001101 => 001110110010 => 000111011001
101010100011 => 001111000011 => 110000111100 => 011000011110
100011100011 => 001001011011 => 110110100100 => 011011010010
101001010011 => 011011000011 => 100100111100 => 010010011110
100010110011 => 011001001011 => 100110110100 => 010011011010
100001110011 => 010001011011 => 101110100100 => 010111010010
101010001011 => 100111000011 => 011000111100 => 001100011110
100110001011 => 100101010011 => 011010101100 => 001101010110
101001001011 => 101011000011 => 010100111100 => 001010011110
100101001011 => 101101000011 => 010010111100 => 001001011110
100011001011 => 101001010011 => 010110101100 => 001011010110
101000101011 => 110011000011 => 001100111100 => 000110011110
100100101011 => 110101000011 => 001010111100 => 000101011110
100010101011 => 111001000011 => 000110111100 => 000011011110
100010011011 => 101001001011 => 010110110100 => 001011011010
100001011011 => 110001001011 => 001110110100 => 000111011010
100000111011 => 100001011011 => 011110100100 => 001111010010
100001010111 => 110001000111 => 001110111000 => 000111011100
101000001111 => 000011001111 => 111100110000 => 011110011000
100100001111 => 000101001111 => 111010110000 => 011101011000
100010001111 => 001001001111 => 110110110000 => 011011011000
100001001111 => 010001001111 => 101110110000 => 010111011000
100000101111 => 100001001111 => 011110110000 => 001111011000
01101101101 => 11101010101 => 00010101010 => 00001010101
01101110110 => 11101011010 => 00010100101 => 10001010010
01101111011 => 11010111011 => 00101000100 => 00010100010
01101010110 => 11110100010 => 00001011101 => 10000101110
01101101110 => 11101010110 => 00010101001 => 10001010100
01101110111 => 11010110111 => 00101001000 => 00010100100
01110111101 => 11011011101 => 00100100010 => 00010010001
01110110110 => 11101101010 => 00010010101 => 10001001010
01110111011 => 11011011011 => 00100100100 => 00010010010
01110110111 => 11011010111 => 00100101000 => 00010010100
01111011110 => 11011101110 => 00100010001 => 10010001000
01111011101 => 11011101101 => 00100010010 => 00010001001
01111011011 => 11011101011 => 00100010100 => 00010001010
01111101111 => 10111101111 => 01000010000 => 00100001000
10110111011 => 11101011011 => 00010100100 => 00001010010
10111011101 => 11101101101 => 00010010010 => 00001001001
10111011011 => 11101101011 => 00010010100 => 00001001010
10111101101 => 11101110101 => 00010001010 => 00001000101
10111110111 => 11011110111 => 00100001000 => 00010000100
10101101010 => 11111001000 => 00000110111 => 10000011011
10110111101 => 11101011101 => 00010100010 => 00001010001
10110110111 => 11101010111 => 00010101000 => 00001010100
10111101111 => 11011101111 => 00100010000 => 00010001000
11011111011 => 11101111011 => 00010000100 => 00001000010
11011010110 => 11111010010 => 00000101101 => 10000010110
11011010101 => 11111010001 => 00000101110 => 00000010111
11011110111 => 11101110111 => 00010001000 => 00001000100
11010111010 => 11111001100 => 00000110011 => 10000011001
11011101111 => 11101101111 => 00010010000 => 00001001000
11101111010 => 11111011100 => 00000100011 => 10000010001
11101111101 => 11110111101 => 00001000010 => 00000100001
11101111011 => 11110111011 => 00001000100 => 00000100010
11101110111 => 11110110111 => 00001001000 => 00000100100
11101010111 => 11111000111 => 00000111000 => 00000011100
11101101111 => 11110101111 => 00001010000 => 00000101000
11110111101 => 11111011101 => 00000100010 => 00000010001
11111011111 => 11111011111 => 00000100000 => 00000010000
01000000111111 => 00000100111111 => 11111011000000 => 01111101100000
0100000001111111 => 0000001001111111 => 1111110110000000 => 0111111011000000
01000010011111 => 01000100011111 => 10111011100000 => 01011101110000
010000000011111111 => 000000010011111111 => 111111101100000000 => 011111110110000000
01000100011111 => 00100100011111 => 11011011100000 => 01101101110000
0100000100111111 => 0100001000111111 => 1011110111000000 => 0101111011100000
01000000000111111111 => 00000000100111111111 => 11111111011000000000 => 01111111101100000000
00000111110011 => 01000001111011 => 10111110000100 => 01011111000010
01000011001111 => 01000100101111 => 10111011010000 => 01011101101000
00110000011111 => 00001001011111 => 11110110100000 => 01111011010000
01001000011111 => 00010100011111 => 11101011100000 => 01110101110000
0100000000001111111111 => 0000000001001111111111 => 1111111110110000000000 => 0111111111011000000000
0000001100 => 0100000010 => 1011111101 => 1101111110
0000011001 => 0100000101 => 1011111010 => 0101111101
0000110011 => 0100001011 => 1011110100 => 0101111010
0011001111 => 0100101111 => 1011010000 => 0101101000
0110011111 => 0101011111 => 1010100000 => 0101010000
0000000011 => 0000000011 => 1111111100 => 0111111110
0001101111 => 1000101111 => 0111010000 => 0011101000
0000110101 => 1100001001 => 0011110110 => 0001111011
00000110111 => 10000010111 => 01111101000 => 00111110100
0011010111 => 1100100111 => 0011011000 => 0001101100
00011011111 => 10001011111 => 01110100000 => 00111010000
10000010101 => 11000010001 => 00111101110 => 00011110111
110101010101010010 => 101111111100000000 => 010000000011111111 => 101000000001111111
11010101010101010010 => 10111111111000000000 => 01000000000111111111 => 10100000000011111111
0010000010 => 1000010000 => 0111101111 => 1011110111
0001000011 => 0001000011 => 1110111100 => 0111011110
0111001011 => 1010110011 => 0101001100 => 0010100110
0111110111 => 1011110111 => 0100001000 => 0010000100
11000000000 => 00000000110 => 11111111001 => 11111111100
0110001011 => 1001010011 => 0110101100 => 0011010110
0110000111 => 0001010111 => 1110101000 => 0111010100
110000111001 => 010001101101 => 101110010010 => 010111001001
110010001101 => 100101100101 => 011010011010 => 001101001101
110100001101 => 100011100101 => 011100011010 => 001110001101
110000011101 => 100001101101 => 011110010010 => 001111001001
011100100011 => 001010110011 => 110101001100 => 011010100110
011010010011 => 010110100011 => 101001011100 => 010100101110
011100010011 => 010010110011 => 101101001100 => 010110100110
011000110011 => 010010101011 => 101101010100 => 010110101010
010110001011 => 100110010011 => 011001101100 => 001100110110
011010001011 => 100110100011 => 011001011100 => 001100101110
011100001011 => 100010110011 => 011101001100 => 001110100110
011000011011 => 100010101011 => 011101010100 => 001110101010
101110000011 => 000011011011 => 111100100100 => 011110010010
110100100011 => 001011100011 => 110100011100 => 011010001110
111000100011 => 001001110011 => 110110001100 => 011011000110
110100010011 => 010011100011 => 101100011100 => 010110001110
111000010011 => 010001110011 => 101110001100 => 010111000110
110000110011 => 010001101011 => 101110010100 => 010111001010
101100001011 => 100011010011 => 011100101100 => 001110010110
110010001011 => 100101100011 => 011010011100 => 001101001110
110100001011 => 100011100011 => 011100011100 => 001110001110
111000001011 => 100001110011 => 011110001100 => 001111000110
110000101011 => 110001100011 => 001110011100 => 000111001110
110000011011 => 100001101011 => 011110010100 => 001111001010
001110000111 => 000100110111 => 111011001000 => 011101100100
010110000111 => 000110010111 => 111001101000 => 011100110100
011010000111 => 000110100111 => 111001011000 => 011100101100
011000100111 => 010010100111 => 101101011000 => 010110101100
011000010111 => 100010100111 => 011101011000 => 001110101100
110010000111 => 000101100111 => 111010011000 => 011101001100
110000100111 => 010001100111 => 101110011000 => 010111001100
110000010111 => 100001100111 => 011110011000 => 001111001100
011000001111 => 000010101111 => 111101010000 => 011110101000
0011011010 => 1110010100 => 0001101011 => 1000110101
0011010110 => 1110010010 => 0001101101 => 1000110110
0100110110 => 1101001010 => 0010110101 => 1001011010
0110001110 => 1001010110 => 0110101001 => 1011010100
0101001110 => 1011000110 => 0100111001 => 1010011100
0011001110 => 1010010110 => 0101101001 => 1010110100
0100101110 => 1101000110 => 0010111001 => 1001011100
0100011110 => 1001001110 => 0110110001 => 1011011000
0010011110 => 1010001110 => 0101110001 => 1010111000
001110101010 => 111100110000 => 000011001111 => 100001100111
001110011010 => 110100110100 => 001011001011 => 100101100101
001101011010 => 111100100100 => 000011011011 => 100001101101
011000111010 => 110010101100 => 001101010011 => 100110101001
001100111010 => 110100101100 => 001011010011 => 100101101001
010010111010 => 111010001100 => 000101110011 => 100010111001
001010111010 => 111100001100 => 000011110011 => 100001111001
000110111010 => 111000101100 => 000111010011 => 100011101001
001110100110 => 101100110010 => 010011001101 => 101001100110
001110010110 => 110100110010 => 001011001101 => 100101100110
001101010110 => 111100100010 => 000011011101 => 100001101110
010011010110 => 111010010010 => 000101101101 => 100010110110
011000110110 => 110010101010 => 001101010101 => 100110101010
010100110110 => 110110001010 => 001001110101 => 100100111010
001100110110 => 110100101010 => 001011010101 => 100101101010
010010110110 => 111010001010 => 000101110101 => 100010111010
001010110110 => 111100001010 => 000011110101 => 100001111010
000110110110 => 111000101010 => 000111010101 => 100011101010
011010001110 => 100110100110 => 011001011001 => 101100101100
001110001110 => 100100110110 => 011011001001 => 101101100100
001101001110 => 101100100110 => 010011011001 => 101001101100
001100101110 => 110100100110 => 001011011001 => 100101101100
010010101110 => 111010000110 => 000101111001 => 100010111100
001010101110 => 111100000110 => 000011111001 => 100001111100
000110101110 => 111000100110 => 000111011001 => 100011101100
001001101110 => 110100010110 => 001011101001 => 100101110100
010100011110 => 100110001110 => 011001110001 => 101100111000
001100011110 => 100100101110 => 011011010001 => 101101101000
010001011110 => 110010001110 => 001101110001 => 100110111000
001001011110 => 110100001110 => 001011110001 => 100101111000
000101011110 => 111000001110 => 000111110001 => 100011111000
001000111110 => 100100011110 => 011011100001 => 101101110000
000010111110 => 110000011110 => 001111100001 => 100111110000
00101000011111 => 00011000011111 => 11100111100000 => 01110011110000
00100110001111 => 00101000101111 => 11010111010000 => 01101011101000
00100100011111 => 00101000011111 => 11010111100000 => 01101011110000
00100011100111 => 01001000110111 => 10110111001000 => 01011011100100
00100011001111 => 01001000101111 => 10110111010000 => 01011011101000
00100010011111 => 01001000011111 => 10110111100000 => 01011011110000
00100000111111 => 00001000111111 => 11110111000000 => 01111011100000
00011010001111 => 00110001001111 => 11001110110000 => 01100111011000
00011001100111 => 01010001010111 => 10101110101000 => 01010111010100
00011001001111 => 01010001001111 => 10101110110000 => 01010111011000
00011000011111 => 00010001011111 => 11101110100000 => 01110111010000
00010110001111 => 00110000101111 => 11001111010000 => 01100111101000
00010100011111 => 00110000011111 => 11001111100000 => 01100111110000
00010011100111 => 01010000110111 => 10101111001000 => 01010111100100
00010011001111 => 01010000101111 => 10101111010000 => 01010111101000
00010010011111 => 01010000011111 => 10101111100000 => 01010111110000
00010000111111 => 00010000111111 => 11101111000000 => 01110111100000
00001110001111 => 00100001101111 => 11011110010000 => 01101111001000
00001100011111 => 00100001011111 => 11011110100000 => 01101111010000
00001000111111 => 00100000111111 => 11011111000000 => 01101111100000
00000111100111 => 01000001110111 => 10111110001000 => 01011111000100
00000111001111 => 01000001101111 => 10111110010000 => 01011111001000
00000110011111 => 01000001011111 => 10111110100000 => 01011111010000
00000100111111 => 01000000111111 => 10111111000000 => 01011111100000
00000001111111 => 00000001111111 => 11111110000000 => 01111111000000
0101000000 => 0000011000 => 1111100111 => 1111110011
0001010000 => 0001100000 => 1110011111 => 1111001111
0001000100 => 0100100000 => 1011011111 => 1101101111
0101000101 => 1001100001 => 0110011110 => 0011001111
0001010101 => 1110000001 => 0001111110 => 0000111111
0100010101 => 1100100001 => 0011011110 => 0001101111
0110110101 => 1110101001 => 0001010110 => 0000101011
0100101001 => 0110100001 => 1001011110 => 0100101111
0110000011 => 0000101011 => 1111010100 => 0111101010
0001110111 => 1000110111 => 0111001000 => 0011100100
0111101111 => 1011101111 => 0100010000 => 0010001000
010100000000 => 000000011000 => 111111100111 => 111111110011
000101000000 => 000001100000 => 111110011111 => 111111001111
010001000000 => 000001001000 => 111110110111 => 111111011011
000001010000 => 000110000000 => 111001111111 => 111100111111
010101010000 => 000111100000 => 111000011111 => 111100001111
000100010000 => 000100100000 => 111011011111 => 111101101111
011010010000 => 000101101000 => 111010010111 => 111101001011
000000010100 => 011000000000 => 100111111111 => 110011111111
010100010100 => 011001100000 => 100110011111 => 110011001111
000101010100 => 011110000000 => 100001111111 => 110000111111
000100000100 => 010000100000 => 101111011111 => 110111101111
011010000100 => 010001101000 => 101110010111 => 110111001011
000110100100 => 010110001000 => 101001110111 => 110100111011
011000100100 => 010100101000 => 101011010111 => 110101101011
000000000101 => 100000000001 => 011111111110 => 001111111111
011101110101 => 111011011001 => 000100100110 => 000010010011
010001010001 => 001100100001 => 110011011110 => 011001101111
010101000001 => 000011100001 => 111100011110 => 011110001111
010011011001 => 011010010101 => 100101101010 => 010010110101
011011011011 => 111010101011 => 000101010100 => 000010101010
011101101011 => 111011010011 => 000100101100 => 000010010110
010101100011 => 001110001011 => 110001110100 => 011000111010
011001000111 => 001010100111 => 110101011000 => 011010101100
011001101111 => 101010101111 => 010101010000 => 001010101000
0111000000 => 0000010110 => 1111101001 => 1111110100
0111111100 => 0101111110 => 1010000001 => 1101000000
0110100000 => 0000110100 => 1111001011 => 1111100101
100111001101 => 101010110101 => 010101001010 => 001010100101
110001101101 => 110011010101 => 001100101010 => 000110010101
100011101101 => 110010110101 => 001101001010 => 000110100101
101100011101 => 100110101101 => 011001010010 => 001100101001
110010011101 => 101011001101 => 010100110010 => 001010011001
100110011101 => 101010101101 => 010101010010 => 001010101001
110001011101 => 110011001101 => 001100110010 => 000110011001
100011011101 => 110010101101 => 001101010010 => 000110101001
101000111101 => 100110011101 => 011001100010 => 001100110001
100100111101 => 101010011101 => 010101100010 => 001010110001
100010111101 => 110010011101 => 001101100010 => 000110110001
100001111101 => 100010111101 => 011101000010 => 001110100001
110011001011 => 101011010011 => 010100101100 => 001010010110
100111001011 => 101010110011 => 010101001100 => 001010100110
110001101011 => 110011010011 => 001100101100 => 000110010110
100011101011 => 110010110011 => 001101001100 => 000110100110
110100011011 => 100111001011 => 011000110100 => 001100011010
110010011011 => 101011001011 => 010100110100 => 001010011010
110001011011 => 110011001011 => 001100110100 => 000110011010
100011011011 => 110010101011 => 001101010100 => 000110101010
110000111011 => 100011011011 => 011100100100 => 001110010010
100010111011 => 110010011011 => 001101100100 => 000110110010
100001111011 => 100010111011 => 011101000100 => 001110100010
110100010111 => 100111000111 => 011000111000 => 001100011100
110010010111 => 101011000111 => 010100111000 => 001010011100
110001010111 => 110011000111 => 001100111000 => 000110011100
100011010111 => 110010100111 => 001101011000 => 000110101100
110000110111 => 100011010111 => 011100101000 => 001110010100
100010110111 => 110010010111 => 001101101000 => 000110110100
100001110111 => 100010110111 => 011101001000 => 001110100100
110000101111 => 100011001111 => 011100110000 => 001110011000
100010101111 => 110010001111 => 001101110000 => 000110111000
100001101111 => 100010101111 => 011101010000 => 001110101000
100001011111 => 100010011111 => 011101100000 => 001110110000
0000001111 => 0000001111 => 1111110000 => 0111111000
0011111111 => 0011111111 => 1100000000 => 0110000000
00000000111 => 00000000111 => 11111111000 => 01111111100
0000010111 => 1000000111 => 0111111000 => 0011111100
00000011111 => 00000011111 => 11111100000 => 01111110000
0001011111 => 1000011111 => 0111100000 => 0011110000
00001111111 => 00001111111 => 11110000000 => 01111000000
00111111111 => 00111111111 => 11000000000 => 01100000000
10111111111 => 10111111111 => 01000000000 => 00100000000
10000101111 => 10001001111 => 01110110000 => 00111011000
0011101110 => 1100110110 => 0011001001 => 1001100100
0011111010 => 1100111100 => 0011000011 => 1001100001
0011111100 => 0100111110 => 1011000001 => 1101100000
0011011100 => 0110010110 => 1001101001 => 1100110100
0001111001 => 0100011101 => 1011100010 => 0101110001
011000111100 => 010010101110 => 101101010001 => 110110101000
010100111100 => 010110001110 => 101001110001 => 110100111000
001100111001 => 010100101101 => 101011010010 => 010101101001
001100111100 => 010100101110 => 101011010001 => 110101101000
010010111100 => 011010001110 => 100101110001 => 110010111000
001010111100 => 011100001110 => 100011110001 => 110001111000
001110110001 => 001100110101 => 110011001010 => 011001100101
001110110010 => 101100110100 => 010011001011 => 101001100101
001110110100 => 011100110100 => 100011001011 => 110001100101
001110111000 => 001100110110 => 110011001001 => 111001100100
001101101001 => 011100101001 => 100011010110 => 010001101011
001001111001 => 010100011101 => 101011100010 => 010101110001
001101110001 => 001100101101 => 110011010010 => 011001101001
001011100101 => 101100011001 => 010011100110 => 001001110011
001011101001 => 011100011001 => 100011100110 => 010001110011
000011111001 => 010000111101 => 101111000010 => 010111100001
001011110001 => 001100011101 => 110011100010 => 011001110001
000111100011 => 001000111011 => 110111000100 => 011011100010
000111100101 => 101000111001 => 010111000110 => 001011100011
0000101010 => 1110000000 => 0001111111 => 1000111111
0110001101 => 1001010101 => 0110101010 => 0011010101
0000100101 => 1010000001 => 0101111110 => 0010111111
011001101101 => 110101010101 => 001010101010 => 000101010101
011000110111 => 100101010111 => 011010101000 => 001101010100
011000111101 => 100101011101 => 011010100010 => 001101010001
011011001101 => 101101010101 => 010010101010 => 001001010101
011010010111 => 101101000111 => 010010111000 => 001001011100
011010011101 => 101101001101 => 010010110010 => 001001011001
000111101101 => 110001110101 => 001110001010 => 000111000101
000110110111 => 110001010111 => 001110101000 => 000111010100
000110111101 => 110001011101 => 001110100010 => 000111010001
000011011111 => 100001011111 => 011110100000 => 001111010000
000011110111 => 100001110111 => 011110001000 => 001111000100
001100110111 => 101001010111 => 010110101000 => 001011010100
001100111101 => 101001011101 => 010110100010 => 001011010001
001110010111 => 101001100111 => 010110011000 => 001011001100
001110011101 => 101001101101 => 010110010010 => 001011001001
001001011111 => 101000011111 => 010111100000 => 001011110000
001001110111 => 101000110111 => 010111001000 => 001011100100
001001111101 => 101000111101 => 010111000010 => 001011100001
101110001011 => 100110110011 => 011001001100 => 001100100110
110110001011 => 100111010011 => 011000101100 => 001100010110
111100001011 => 100011110011 => 011100001100 => 001110000110
101110001101 => 100110110101 => 011001001010 => 001100100101
00010010101 => 11010000001 => 00101111110 => 00010111111
00010101001 => 01110000001 => 10001111110 => 01000111111
00010101010 => 11110000000 => 00001111111 => 10000111111
00000100010 => 10010000000 => 01101111111 => 10110111111
111000001110 => 100001110110 => 011110001001 => 101111000100
001101100011 => 001100101011 => 110011010100 => 011001101010
001110001101 => 100100110101 => 011011001010 => 001101100101
001110010011 => 010100110011 => 101011001100 => 010101100110
001110011001 => 010100110101 => 101011001010 => 010101100101
001110011100 => 010100110110 => 101011001001 => 110101100100
001110100101 => 101100110001 => 010011001110 => 001001100111
01000100000 => 00001001000 => 11110110111 => 11111011011
110100010110 => 110011100010 => 001100011101 => 100110001110
110010001110 => 100101100110 => 011010011001 => 101101001100
100110011100 => 010101010110 => 101010101001 => 110101010100
100110110100 => 011101010100 => 100010101011 => 110001010101
0010010101 => 1101000001 => 0010111110 => 0001011111
00001010101 => 11100000001 => 00011111110 => 00001111111
0000101011 => 1100000011 => 0011111100 => 0001111110
0001001010 => 1101000000 => 0010111111 => 1001011111
0000100100 => 0101000000 => 1010111111 => 1101011111
11111111110000000000 => 00000000011111111110 => 11111111100000000001 => 11111111110000000000
0011000000 => 0000010010 => 1111101101 => 1111110110
0101010111 => 1110000111 => 0001111000 => 0000111100
10101010001 => 00111100001 => 11000011110 => 01100001111
10110101001 => 01111010001 => 10000101110 => 01000010111
11010101001 => 01111100001 => 10000011110 => 01000001111
111000010110 => 110001110010 => 001110001101 => 100111000110
110100011010 => 110011100100 => 001100011011 => 100110001101
01101010010 => 10111010000 => 01000101111 => 10100010111
0101110101 => 1110011001 => 0001100110 => 0000110011
11111100000 => 00001111110 => 11110000001 => 11111000000
01000101111 => 10010001111 => 01101110000 => 00110111000
0011100001 => 0001001101 => 1110110010 => 0111011001
00000001000 => 00100000000 => 11011111111 => 11101111111
0000101000 => 0011000000 => 1100111111 => 1110011111
110110110110 => 111110101010 => 000001010101 => 100000101010
110101101110 => 111110010110 => 000001101001 => 100000110100
111101100110 => 101111101010 => 010000010101 => 101000001010
10011111111 => 01011111111 => 10100000000 => 01010000000
100010010100 => 011010010000 => 100101101111 => 110010110111
110011000110 => 100101101010 => 011010010101 => 101101001010
110001001110 => 101001100110 => 010110011001 => 101011001100
110001100110 => 101001101010 => 010110010101 => 101011001010
110000100100 => 010100011000 => 101011100111 => 110101110011
111001000110 => 100101110010 => 011010001101 => 101101000110
111100110110 => 110111101010 => 001000010101 => 100100001010
100111000011 => 000101011011 => 111010100100 => 011101010010
110001001011 => 101001100011 => 010110011100 => 001011001110
110001000111 => 001001100111 => 110110011000 => 011011001100
110010010110 => 110101100010 => 001010011101 => 100101001110
110110000110 => 100011101010 => 011100010101 => 101110001010
111100000110 => 100001111010 => 011110000101 => 101111000010
110100001110 => 100011100110 => 011100011001 => 101110001100
0101001000 => 0010110000 => 1101001111 => 1110100111
0010010000 => 0001010000 => 1110101111 => 1111010111
0001010010 => 1011000000 => 0100111111 => 1010011111
00011010101 => 11100010001 => 00011101110 => 00001110111
010011100011 => 001010011011 => 110101100100 => 011010110010
010110100011 => 001110010011 => 110001101100 => 011000110110
011001001011 => 101010100011 => 010101011100 => 001010101110
011001100011 => 001010101011 => 110101010100 => 011010101010
011011000011 => 000110101011 => 111001010100 => 011100101010
110001100011 => 001001101011 => 110110010100 => 011011001010
0010100101 => 1011000001 => 0100111110 => 0010011111
0010110111 => 1100010111 => 0011101000 => 0001110100
0010011111 => 0100011111 => 1011100000 => 0101110000
11111111000 => 00111111110 => 11000000001 => 11100000000
0110101101 => 1110100101 => 0001011010 => 0000101101
0101101011 => 1110010011 => 0001101100 => 0000110110
0101011101 => 1110001101 => 0001110010 => 0000111001
0011000011 => 0001001011 => 1110110100 => 0111011010
0011011011 => 1100101011 => 0011010100 => 0001101010
0001111011 => 1000111011 => 0111000100 => 0011100010
111111110011 => 011111111011 => 100000000100 => 010000000010
111111001111 => 011111101111 => 100000010000 => 010000001000
111111000011 => 000111111011 => 111000000100 => 011100000010
111111011011 => 111111101011 => 000000010100 => 000000001010
111100111111 => 011110111111 => 100001000000 => 010000100000
111100001111 => 000111101111 => 111000010000 => 011100001000
111101101111 => 111110101111 => 000001010000 => 000000101000
111101111011 => 111110111011 => 000001000100 => 000000100010
110011111111 => 011011111111 => 100100000000 => 010010000000
110000111111 => 000110111111 => 111001000000 => 011100100000
110000000011 => 000000011011 => 111111100100 => 011111110010
110110111111 => 111010111111 => 000101000000 => 000010100000
110110011011 => 101110101011 => 010001010100 => 001000101010
110111101111 => 111011101111 => 000100010000 => 000010001000
110111111011 => 111011111011 => 000100000100 => 000010000010
110101101011 => 111110010011 => 000001101100 => 000000110110
001111111111 => 001111111111 => 110000000000 => 011000000000
001111001111 => 010011101111 => 101100010000 => 010110001000
001100111111 => 010010111111 => 101101000000 => 010110100000
001100000011 => 000001001011 => 111110110100 => 011111011010
000011111111 => 000011111111 => 111100000000 => 011110000000
000011000011 => 000100001011 => 111011110100 => 011101111010
000000110011 => 010000001011 => 101111110100 => 010111111010
000000001111 => 000000001111 => 111111110000 => 011111111000
000000000011 => 000000000011 => 111111111100 => 011111111110
011011111111 => 101011111111 => 010100000000 => 001010000000
011001111011 => 101010111011 => 010101000100 => 001010100010
011110111111 => 101110111111 => 010001000000 => 001000100000
011110011011 => 101011101011 => 010100010100 => 001010001010
011111101111 => 101111101111 => 010000010000 => 001000001000
011111111011 => 101111111011 => 010000000100 => 001000000010
010110101111 => 111001001111 => 000110110000 => 000011011000
010110111011 => 111001011011 => 000110100100 => 000011010010
010111101011 => 111001110011 => 000110001100 => 000011000110
11110000000 => 00000011110 => 11111100001 => 11111110000
111111111100 => 011111111110 => 100000000001 => 110000000000
111111110000 => 000111111110 => 111000000001 => 111100000000
111111110110 => 111111111010 => 000000000101 => 100000000010
111100000000 => 000000011110 => 111111100001 => 111111110000
111101011010 => 111111100100 => 000000011011 => 100000001101
110000110000 => 000100011010 => 111011100101 => 111101110010
110000000000 => 000000000110 => 111111111001 => 111111111100
110001011010 => 111001100100 => 000110011011 => 100011001101
110110011110 => 101110101110 => 010001010001 => 101000101000
110111100110 => 101110111010 => 010001000101 => 101000100010
110111011010 => 111110110100 => 000001001011 => 100000100101
110100100110 => 101011100010 => 010100011101 => 101010001110
110101111010 => 111110011100 => 000001100011 => 100000110001
0011011101 => 1100101101 => 0011010010 => 0001101001
0010000111 => 0001000111 => 1110111000 => 0111011100
0011100111 => 0100110111 => 1011001000 => 0101100100
0111011111 => 1011011111 => 0100100000 => 0010010000
011111111101 => 101111111101 => 010000000010 => 001000000001
000111111101 => 100011111101 => 011100000010 => 001110000001
010111011101 => 111001101101 => 000110010010 => 000011001001
111101110111 => 111110110111 => 000001001000 => 000000100100
111101111101 => 111110111101 => 000001000010 => 000000100001
010101111101 => 111000111101 => 000111000010 => 000011100001
110101011101 => 111110001101 => 000001110010 => 000000111001
011101011101 => 111011001101 => 000100110010 => 000010011001
110111110111 => 111011110111 => 000100001000 => 000010000100
11111101010 => 11111111000 => 00000000111 => 10000000011
110010000100 => 010001011000 => 101110100111 => 110111010011
101001000100 => 010010110000 => 101101001111 => 110110100111
0000110000 => 0001000010 => 1110111101 => 1111011110
000011000000 => 000001000010 => 111110111101 => 111111011110
001100110000 => 000101001010 => 111010110101 => 111101011010
101001011100 => 011011000110 => 100100111001 => 110010011100
00000111011 => 10000011011 => 01111100100 => 00111110010
0000100001 => 0001000001 => 1110111110 => 0111011111
000010100101 => 101100000001 => 010011111110 => 001001111111
001000100101 => 101001000001 => 010110111110 => 001011011111
001010000101 => 100011000001 => 011100111110 => 001110011111
011010001101 => 100110100101 => 011001011010 => 001100101101
011000111001 => 010010101101 => 101101010010 => 010110101001
011010111101 => 111010011101 => 000101100010 => 000010110001
110110101101 => 111110100101 => 000001011010 => 000000101101
011110101101 => 111011100101 => 000100011010 => 000010001101
Map
Foata bijection
Description
The Foata bijection $\phi$ is a bijection on the set of words of given content (by a slight generalization of Section 2 in [1]).
Given a word $w_1 w_2 ... w_n$, compute the image inductively by starting with $\phi(w_1) = w_1$. At the $i$-th step, if $\phi(w_1 w_2 ... w_i) = v_1 v_2 ... v_i$, define $\phi(w_1 w_2 ... w_i w_{i+1})$ by placing $w_{i+1}$ on the end of the word $v_1 v_2 ... v_i$ and breaking the word up into blocks as follows.
For instance, to compute $\phi(4154223)$, the sequence of words is
Given a word $w_1 w_2 ... w_n$, compute the image inductively by starting with $\phi(w_1) = w_1$. At the $i$-th step, if $\phi(w_1 w_2 ... w_i) = v_1 v_2 ... v_i$, define $\phi(w_1 w_2 ... w_i w_{i+1})$ by placing $w_{i+1}$ on the end of the word $v_1 v_2 ... v_i$ and breaking the word up into blocks as follows.
- If $w_{i+1} \geq v_i$, place a vertical line to the right of each $v_k$ for which $w_{i+1} \geq v_k$.
- If $w_{i+1} < v_i$, place a vertical line to the right of each $v_k$ for which $w_{i+1} < v_k$.
For instance, to compute $\phi(4154223)$, the sequence of words is
- 4,
- |4|1 -- > 41,
- |4|1|5 -- > 415,
- |415|4 -- > 5414,
- |5|4|14|2 -- > 54412,
- |5441|2|2 -- > 154422,
- |1|5442|2|3 -- > 1254423.
Map
complement
Description
Send a binary word to the word obtained by interchanging the two letters.
Map
rotate back-to-front
Description
The rotation of a binary word, last letter first.
This is the word obtained by moving the last letter to the beginnig.
This is the word obtained by moving the last letter to the beginnig.
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