Identifier
Mp00105:
Binary words
—complement⟶
Binary words
Mp00096: Binary words —Foata bijection⟶ Binary words
Mp00104: Binary words —reverse⟶ Binary words
Mp00105: Binary words —complement⟶ Binary words
Mp00096: Binary words —Foata bijection⟶ Binary words
Mp00104: Binary words —reverse⟶ Binary words
Mp00105: Binary words —complement⟶ Binary words
Images
=>
0=>1=>1=>1=>0
1=>0=>0=>0=>1
00=>11=>11=>11=>00
01=>10=>10=>01=>10
10=>01=>01=>10=>01
11=>00=>00=>00=>11
000=>111=>111=>111=>000
001=>110=>110=>011=>100
010=>101=>101=>101=>010
011=>100=>010=>010=>101
100=>011=>011=>110=>001
101=>010=>100=>001=>110
110=>001=>001=>100=>011
111=>000=>000=>000=>111
0000=>1111=>1111=>1111=>0000
0001=>1110=>1110=>0111=>1000
0010=>1101=>1101=>1011=>0100
0011=>1100=>0110=>0110=>1001
0100=>1011=>1011=>1101=>0010
0101=>1010=>1100=>0011=>1100
0110=>1001=>0101=>1010=>0101
0111=>1000=>0010=>0100=>1011
1000=>0111=>0111=>1110=>0001
1001=>0110=>1010=>0101=>1010
1010=>0101=>1001=>1001=>0110
1011=>0100=>0100=>0010=>1101
1100=>0011=>0011=>1100=>0011
1101=>0010=>1000=>0001=>1110
1110=>0001=>0001=>1000=>0111
1111=>0000=>0000=>0000=>1111
00000=>11111=>11111=>11111=>00000
00001=>11110=>11110=>01111=>10000
00010=>11101=>11101=>10111=>01000
00011=>11100=>01110=>01110=>10001
00100=>11011=>11011=>11011=>00100
00101=>11010=>11100=>00111=>11000
00110=>11001=>01101=>10110=>01001
00111=>11000=>00110=>01100=>10011
01000=>10111=>10111=>11101=>00010
01001=>10110=>11010=>01011=>10100
01010=>10101=>11001=>10011=>01100
01011=>10100=>01100=>00110=>11001
01100=>10011=>01011=>11010=>00101
01101=>10010=>10100=>00101=>11010
01110=>10001=>00101=>10100=>01011
01111=>10000=>00010=>01000=>10111
10000=>01111=>01111=>11110=>00001
10001=>01110=>10110=>01101=>10010
10010=>01101=>10101=>10101=>01010
10011=>01100=>01010=>01010=>10101
10100=>01011=>10011=>11001=>00110
10101=>01010=>11000=>00011=>11100
10110=>01001=>01001=>10010=>01101
10111=>01000=>00100=>00100=>11011
11000=>00111=>00111=>11100=>00011
11001=>00110=>10010=>01001=>10110
11010=>00101=>10001=>10001=>01110
11011=>00100=>01000=>00010=>11101
11100=>00011=>00011=>11000=>00111
11101=>00010=>10000=>00001=>11110
11110=>00001=>00001=>10000=>01111
11111=>00000=>00000=>00000=>11111
000000=>111111=>111111=>111111=>000000
000001=>111110=>111110=>011111=>100000
000010=>111101=>111101=>101111=>010000
000011=>111100=>011110=>011110=>100001
000100=>111011=>111011=>110111=>001000
000101=>111010=>111100=>001111=>110000
000110=>111001=>011101=>101110=>010001
000111=>111000=>001110=>011100=>100011
001000=>110111=>110111=>111011=>000100
001001=>110110=>111010=>010111=>101000
001010=>110101=>111001=>100111=>011000
001011=>110100=>011100=>001110=>110001
001100=>110011=>011011=>110110=>001001
001101=>110010=>101100=>001101=>110010
001110=>110001=>001101=>101100=>010011
001111=>110000=>000110=>011000=>100111
010000=>101111=>101111=>111101=>000010
010001=>101110=>110110=>011011=>100100
010010=>101101=>110101=>101011=>010100
010011=>101100=>011010=>010110=>101001
010100=>101011=>110011=>110011=>001100
010101=>101010=>111000=>000111=>111000
010110=>101001=>011001=>100110=>011001
010111=>101000=>001100=>001100=>110011
011000=>100111=>010111=>111010=>000101
011001=>100110=>101010=>010101=>101010
011010=>100101=>101001=>100101=>011010
011011=>100100=>010100=>001010=>110101
011100=>100011=>001011=>110100=>001011
011101=>100010=>100100=>001001=>110110
011110=>100001=>000101=>101000=>010111
011111=>100000=>000010=>010000=>101111
100000=>011111=>011111=>111110=>000001
100001=>011110=>101110=>011101=>100010
100010=>011101=>101101=>101101=>010010
100011=>011100=>010110=>011010=>100101
100100=>011011=>101011=>110101=>001010
100101=>011010=>110100=>001011=>110100
100110=>011001=>010101=>101010=>010101
100111=>011000=>001010=>010100=>101011
101000=>010111=>100111=>111001=>000110
101001=>010110=>110010=>010011=>101100
101010=>010101=>110001=>100011=>011100
101011=>010100=>011000=>000110=>111001
101100=>010011=>010011=>110010=>001101
101101=>010010=>101000=>000101=>111010
101110=>010001=>001001=>100100=>011011
101111=>010000=>000100=>001000=>110111
110000=>001111=>001111=>111100=>000011
110001=>001110=>100110=>011001=>100110
110010=>001101=>100101=>101001=>010110
110011=>001100=>010010=>010010=>101101
110100=>001011=>100011=>110001=>001110
110101=>001010=>110000=>000011=>111100
110110=>001001=>010001=>100010=>011101
110111=>001000=>001000=>000100=>111011
111000=>000111=>000111=>111000=>000111
111001=>000110=>100010=>010001=>101110
111010=>000101=>100001=>100001=>011110
111011=>000100=>010000=>000010=>111101
111100=>000011=>000011=>110000=>001111
111101=>000010=>100000=>000001=>111110
111110=>000001=>000001=>100000=>011111
111111=>000000=>000000=>000000=>111111
0000000=>1111111=>1111111=>1111111=>0000000
0000001=>1111110=>1111110=>0111111=>1000000
0000010=>1111101=>1111101=>1011111=>0100000
0000011=>1111100=>0111110=>0111110=>1000001
0000100=>1111011=>1111011=>1101111=>0010000
0000101=>1111010=>1111100=>0011111=>1100000
0000110=>1111001=>0111101=>1011110=>0100001
0000111=>1111000=>0011110=>0111100=>1000011
0001000=>1110111=>1110111=>1110111=>0001000
0001001=>1110110=>1111010=>0101111=>1010000
0001010=>1110101=>1111001=>1001111=>0110000
0001011=>1110100=>0111100=>0011110=>1100001
0001100=>1110011=>0111011=>1101110=>0010001
0001101=>1110010=>1011100=>0011101=>1100010
0001110=>1110001=>0011101=>1011100=>0100011
0001111=>1110000=>0001110=>0111000=>1000111
0010000=>1101111=>1101111=>1111011=>0000100
0010001=>1101110=>1110110=>0110111=>1001000
0010010=>1101101=>1110101=>1010111=>0101000
0010011=>1101100=>0111010=>0101110=>1010001
0010100=>1101011=>1110011=>1100111=>0011000
0010101=>1101010=>1111000=>0001111=>1110000
0010110=>1101001=>0111001=>1001110=>0110001
0010111=>1101000=>0011100=>0011100=>1100011
0011000=>1100111=>0110111=>1110110=>0001001
0011001=>1100110=>1011010=>0101101=>1010010
0011010=>1100101=>1011001=>1001101=>0110010
0011011=>1100100=>0101100=>0011010=>1100101
0011100=>1100011=>0011011=>1101100=>0010011
0011101=>1100010=>1001100=>0011001=>1100110
0011110=>1100001=>0001101=>1011000=>0100111
0011111=>1100000=>0000110=>0110000=>1001111
0100000=>1011111=>1011111=>1111101=>0000010
0100001=>1011110=>1101110=>0111011=>1000100
0100010=>1011101=>1101101=>1011011=>0100100
0100011=>1011100=>0110110=>0110110=>1001001
0100100=>1011011=>1101011=>1101011=>0010100
0100101=>1011010=>1110100=>0010111=>1101000
0100110=>1011001=>0110101=>1010110=>0101001
0100111=>1011000=>0011010=>0101100=>1010011
0101000=>1010111=>1100111=>1110011=>0001100
0101001=>1010110=>1110010=>0100111=>1011000
0101010=>1010101=>1110001=>1000111=>0111000
0101011=>1010100=>0111000=>0001110=>1110001
0101100=>1010011=>0110011=>1100110=>0011001
0101101=>1010010=>1011000=>0001101=>1110010
0101110=>1010001=>0011001=>1001100=>0110011
0101111=>1010000=>0001100=>0011000=>1100111
0110000=>1001111=>0101111=>1111010=>0000101
0110001=>1001110=>1010110=>0110101=>1001010
0110010=>1001101=>1010101=>1010101=>0101010
0110011=>1001100=>0101010=>0101010=>1010101
0110100=>1001011=>1010011=>1100101=>0011010
0110101=>1001010=>1101000=>0001011=>1110100
0110110=>1001001=>0101001=>1001010=>0110101
0110111=>1001000=>0010100=>0010100=>1101011
0111000=>1000111=>0010111=>1110100=>0001011
0111001=>1000110=>1001010=>0101001=>1010110
0111010=>1000101=>1001001=>1001001=>0110110
0111011=>1000100=>0100100=>0010010=>1101101
0111100=>1000011=>0001011=>1101000=>0010111
0111101=>1000010=>1000100=>0010001=>1101110
0111110=>1000001=>0000101=>1010000=>0101111
0111111=>1000000=>0000010=>0100000=>1011111
1000000=>0111111=>0111111=>1111110=>0000001
1000001=>0111110=>1011110=>0111101=>1000010
1000010=>0111101=>1011101=>1011101=>0100010
1000011=>0111100=>0101110=>0111010=>1000101
1000100=>0111011=>1011011=>1101101=>0010010
1000101=>0111010=>1101100=>0011011=>1100100
1000110=>0111001=>0101101=>1011010=>0100101
1000111=>0111000=>0010110=>0110100=>1001011
1001000=>0110111=>1010111=>1110101=>0001010
1001001=>0110110=>1101010=>0101011=>1010100
1001010=>0110101=>1101001=>1001011=>0110100
1001011=>0110100=>0110100=>0010110=>1101001
1001100=>0110011=>0101011=>1101010=>0010101
1001101=>0110010=>1010100=>0010101=>1101010
1001110=>0110001=>0010101=>1010100=>0101011
1001111=>0110000=>0001010=>0101000=>1010111
1010000=>0101111=>1001111=>1111001=>0000110
1010001=>0101110=>1100110=>0110011=>1001100
1010010=>0101101=>1100101=>1010011=>0101100
1010011=>0101100=>0110010=>0100110=>1011001
1010100=>0101011=>1100011=>1100011=>0011100
1010101=>0101010=>1110000=>0000111=>1111000
1010110=>0101001=>0110001=>1000110=>0111001
1010111=>0101000=>0011000=>0001100=>1110011
1011000=>0100111=>0100111=>1110010=>0001101
1011001=>0100110=>1010010=>0100101=>1011010
1011010=>0100101=>1010001=>1000101=>0111010
1011011=>0100100=>0101000=>0001010=>1110101
1011100=>0100011=>0010011=>1100100=>0011011
1011101=>0100010=>1001000=>0001001=>1110110
1011110=>0100001=>0001001=>1001000=>0110111
1011111=>0100000=>0000100=>0010000=>1101111
1100000=>0011111=>0011111=>1111100=>0000011
1100001=>0011110=>1001110=>0111001=>1000110
1100010=>0011101=>1001101=>1011001=>0100110
1100011=>0011100=>0100110=>0110010=>1001101
1100100=>0011011=>1001011=>1101001=>0010110
1100101=>0011010=>1100100=>0010011=>1101100
1100110=>0011001=>0100101=>1010010=>0101101
1100111=>0011000=>0010010=>0100100=>1011011
1101000=>0010111=>1000111=>1110001=>0001110
1101001=>0010110=>1100010=>0100011=>1011100
1101010=>0010101=>1100001=>1000011=>0111100
1101011=>0010100=>0110000=>0000110=>1111001
1101100=>0010011=>0100011=>1100010=>0011101
1101101=>0010010=>1010000=>0000101=>1111010
1101110=>0010001=>0010001=>1000100=>0111011
1101111=>0010000=>0001000=>0001000=>1110111
1110000=>0001111=>0001111=>1111000=>0000111
1110001=>0001110=>1000110=>0110001=>1001110
1110010=>0001101=>1000101=>1010001=>0101110
1110011=>0001100=>0100010=>0100010=>1011101
1110100=>0001011=>1000011=>1100001=>0011110
1110101=>0001010=>1100000=>0000011=>1111100
1110110=>0001001=>0100001=>1000010=>0111101
1110111=>0001000=>0010000=>0000100=>1111011
1111000=>0000111=>0000111=>1110000=>0001111
1111001=>0000110=>1000010=>0100001=>1011110
1111010=>0000101=>1000001=>1000001=>0111110
1111011=>0000100=>0100000=>0000010=>1111101
1111100=>0000011=>0000011=>1100000=>0011111
1111101=>0000010=>1000000=>0000001=>1111110
1111110=>0000001=>0000001=>1000000=>0111111
1111111=>0000000=>0000000=>0000000=>1111111
00000000=>11111111=>11111111=>11111111=>00000000
00000001=>11111110=>11111110=>01111111=>10000000
00000010=>11111101=>11111101=>10111111=>01000000
00000011=>11111100=>01111110=>01111110=>10000001
00000100=>11111011=>11111011=>11011111=>00100000
00000101=>11111010=>11111100=>00111111=>11000000
00000110=>11111001=>01111101=>10111110=>01000001
00000111=>11111000=>00111110=>01111100=>10000011
00001000=>11110111=>11110111=>11101111=>00010000
00001001=>11110110=>11111010=>01011111=>10100000
00001010=>11110101=>11111001=>10011111=>01100000
00001011=>11110100=>01111100=>00111110=>11000001
00001100=>11110011=>01111011=>11011110=>00100001
00001101=>11110010=>10111100=>00111101=>11000010
00001110=>11110001=>00111101=>10111100=>01000011
00001111=>11110000=>00011110=>01111000=>10000111
00010000=>11101111=>11101111=>11110111=>00001000
00010001=>11101110=>11110110=>01101111=>10010000
00010010=>11101101=>11110101=>10101111=>01010000
00010011=>11101100=>01111010=>01011110=>10100001
00010100=>11101011=>11110011=>11001111=>00110000
00010101=>11101010=>11111000=>00011111=>11100000
00010110=>11101001=>01111001=>10011110=>01100001
00010111=>11101000=>00111100=>00111100=>11000011
00011000=>11100111=>01110111=>11101110=>00010001
00011001=>11100110=>10111010=>01011101=>10100010
00011010=>11100101=>10111001=>10011101=>01100010
00011011=>11100100=>01011100=>00111010=>11000101
00011100=>11100011=>00111011=>11011100=>00100011
00011101=>11100010=>10011100=>00111001=>11000110
00011110=>11100001=>00011101=>10111000=>01000111
00011111=>11100000=>00001110=>01110000=>10001111
00100000=>11011111=>11011111=>11111011=>00000100
00100001=>11011110=>11101110=>01110111=>10001000
00100010=>11011101=>11101101=>10110111=>01001000
00100011=>11011100=>01110110=>01101110=>10010001
00100100=>11011011=>11101011=>11010111=>00101000
00100101=>11011010=>11110100=>00101111=>11010000
00100110=>11011001=>01110101=>10101110=>01010001
00100111=>11011000=>00111010=>01011100=>10100011
00101000=>11010111=>11100111=>11100111=>00011000
00101001=>11010110=>11110010=>01001111=>10110000
00101010=>11010101=>11110001=>10001111=>01110000
00101011=>11010100=>01111000=>00011110=>11100001
00101100=>11010011=>01110011=>11001110=>00110001
00101101=>11010010=>10111000=>00011101=>11100010
00101110=>11010001=>00111001=>10011100=>01100011
00101111=>11010000=>00011100=>00111000=>11000111
00110000=>11001111=>01101111=>11110110=>00001001
00110001=>11001110=>10110110=>01101101=>10010010
00110010=>11001101=>10110101=>10101101=>01010010
00110011=>11001100=>01011010=>01011010=>10100101
00110100=>11001011=>10110011=>11001101=>00110010
00110101=>11001010=>11011000=>00011011=>11100100
00110110=>11001001=>01011001=>10011010=>01100101
00110111=>11001000=>00101100=>00110100=>11001011
00111000=>11000111=>00110111=>11101100=>00010011
00111001=>11000110=>10011010=>01011001=>10100110
00111010=>11000101=>10011001=>10011001=>01100110
00111011=>11000100=>01001100=>00110010=>11001101
00111100=>11000011=>00011011=>11011000=>00100111
00111101=>11000010=>10001100=>00110001=>11001110
00111110=>11000001=>00001101=>10110000=>01001111
00111111=>11000000=>00000110=>01100000=>10011111
01000000=>10111111=>10111111=>11111101=>00000010
01000001=>10111110=>11011110=>01111011=>10000100
01000010=>10111101=>11011101=>10111011=>01000100
01000011=>10111100=>01101110=>01110110=>10001001
01000100=>10111011=>11011011=>11011011=>00100100
01000101=>10111010=>11101100=>00110111=>11001000
01000110=>10111001=>01101101=>10110110=>01001001
01000111=>10111000=>00110110=>01101100=>10010011
01001000=>10110111=>11010111=>11101011=>00010100
01001001=>10110110=>11101010=>01010111=>10101000
01001010=>10110101=>11101001=>10010111=>01101000
01001011=>10110100=>01110100=>00101110=>11010001
01001100=>10110011=>01101011=>11010110=>00101001
01001101=>10110010=>10110100=>00101101=>11010010
01001110=>10110001=>00110101=>10101100=>01010011
01001111=>10110000=>00011010=>01011000=>10100111
01010000=>10101111=>11001111=>11110011=>00001100
01010001=>10101110=>11100110=>01100111=>10011000
01010010=>10101101=>11100101=>10100111=>01011000
01010011=>10101100=>01110010=>01001110=>10110001
01010100=>10101011=>11100011=>11000111=>00111000
01010101=>10101010=>11110000=>00001111=>11110000
01010110=>10101001=>01110001=>10001110=>01110001
01010111=>10101000=>00111000=>00011100=>11100011
01011000=>10100111=>01100111=>11100110=>00011001
01011001=>10100110=>10110010=>01001101=>10110010
01011010=>10100101=>10110001=>10001101=>01110010
01011011=>10100100=>01011000=>00011010=>11100101
01011100=>10100011=>00110011=>11001100=>00110011
01011101=>10100010=>10011000=>00011001=>11100110
01011110=>10100001=>00011001=>10011000=>01100111
01011111=>10100000=>00001100=>00110000=>11001111
01100000=>10011111=>01011111=>11111010=>00000101
01100001=>10011110=>10101110=>01110101=>10001010
01100010=>10011101=>10101101=>10110101=>01001010
01100011=>10011100=>01010110=>01101010=>10010101
01100100=>10011011=>10101011=>11010101=>00101010
01100101=>10011010=>11010100=>00101011=>11010100
01100110=>10011001=>01010101=>10101010=>01010101
01100111=>10011000=>00101010=>01010100=>10101011
01101000=>10010111=>10100111=>11100101=>00011010
01101001=>10010110=>11010010=>01001011=>10110100
01101010=>10010101=>11010001=>10001011=>01110100
01101011=>10010100=>01101000=>00010110=>11101001
01101100=>10010011=>01010011=>11001010=>00110101
01101101=>10010010=>10101000=>00010101=>11101010
01101110=>10010001=>00101001=>10010100=>01101011
01101111=>10010000=>00010100=>00101000=>11010111
01110000=>10001111=>00101111=>11110100=>00001011
01110001=>10001110=>10010110=>01101001=>10010110
01110010=>10001101=>10010101=>10101001=>01010110
01110011=>10001100=>01001010=>01010010=>10101101
01110100=>10001011=>10010011=>11001001=>00110110
01110101=>10001010=>11001000=>00010011=>11101100
01110110=>10001001=>01001001=>10010010=>01101101
01110111=>10001000=>00100100=>00100100=>11011011
01111000=>10000111=>00010111=>11101000=>00010111
01111001=>10000110=>10001010=>01010001=>10101110
01111010=>10000101=>10001001=>10010001=>01101110
01111011=>10000100=>01000100=>00100010=>11011101
01111100=>10000011=>00001011=>11010000=>00101111
01111101=>10000010=>10000100=>00100001=>11011110
01111110=>10000001=>00000101=>10100000=>01011111
01111111=>10000000=>00000010=>01000000=>10111111
10000000=>01111111=>01111111=>11111110=>00000001
10000001=>01111110=>10111110=>01111101=>10000010
10000010=>01111101=>10111101=>10111101=>01000010
10000011=>01111100=>01011110=>01111010=>10000101
10000100=>01111011=>10111011=>11011101=>00100010
10000101=>01111010=>11011100=>00111011=>11000100
10000110=>01111001=>01011101=>10111010=>01000101
10000111=>01111000=>00101110=>01110100=>10001011
10001000=>01110111=>10110111=>11101101=>00010010
10001001=>01110110=>11011010=>01011011=>10100100
10001010=>01110101=>11011001=>10011011=>01100100
10001011=>01110100=>01101100=>00110110=>11001001
10001100=>01110011=>01011011=>11011010=>00100101
10001101=>01110010=>10101100=>00110101=>11001010
10001110=>01110001=>00101101=>10110100=>01001011
10001111=>01110000=>00010110=>01101000=>10010111
10010000=>01101111=>10101111=>11110101=>00001010
10010001=>01101110=>11010110=>01101011=>10010100
10010010=>01101101=>11010101=>10101011=>01010100
10010011=>01101100=>01101010=>01010110=>10101001
10010100=>01101011=>11010011=>11001011=>00110100
10010101=>01101010=>11101000=>00010111=>11101000
10010110=>01101001=>01101001=>10010110=>01101001
10010111=>01101000=>00110100=>00101100=>11010011
10011000=>01100111=>01010111=>11101010=>00010101
10011001=>01100110=>10101010=>01010101=>10101010
10011010=>01100101=>10101001=>10010101=>01101010
10011011=>01100100=>01010100=>00101010=>11010101
10011100=>01100011=>00101011=>11010100=>00101011
10011101=>01100010=>10010100=>00101001=>11010110
10011110=>01100001=>00010101=>10101000=>01010111
10011111=>01100000=>00001010=>01010000=>10101111
10100000=>01011111=>10011111=>11111001=>00000110
10100001=>01011110=>11001110=>01110011=>10001100
10100010=>01011101=>11001101=>10110011=>01001100
10100011=>01011100=>01100110=>01100110=>10011001
10100100=>01011011=>11001011=>11010011=>00101100
10100101=>01011010=>11100100=>00100111=>11011000
10100110=>01011001=>01100101=>10100110=>01011001
10100111=>01011000=>00110010=>01001100=>10110011
10101000=>01010111=>11000111=>11100011=>00011100
10101001=>01010110=>11100010=>01000111=>10111000
10101010=>01010101=>11100001=>10000111=>01111000
10101011=>01010100=>01110000=>00001110=>11110001
10101100=>01010011=>01100011=>11000110=>00111001
10101101=>01010010=>10110000=>00001101=>11110010
10101110=>01010001=>00110001=>10001100=>01110011
10101111=>01010000=>00011000=>00011000=>11100111
10110000=>01001111=>01001111=>11110010=>00001101
10110001=>01001110=>10100110=>01100101=>10011010
10110010=>01001101=>10100101=>10100101=>01011010
10110011=>01001100=>01010010=>01001010=>10110101
10110100=>01001011=>10100011=>11000101=>00111010
10110101=>01001010=>11010000=>00001011=>11110100
10110110=>01001001=>01010001=>10001010=>01110101
10110111=>01001000=>00101000=>00010100=>11101011
10111000=>01000111=>00100111=>11100100=>00011011
10111001=>01000110=>10010010=>01001001=>10110110
10111010=>01000101=>10010001=>10001001=>01110110
10111011=>01000100=>01001000=>00010010=>11101101
10111100=>01000011=>00010011=>11001000=>00110111
10111101=>01000010=>10001000=>00010001=>11101110
10111110=>01000001=>00001001=>10010000=>01101111
10111111=>01000000=>00000100=>00100000=>11011111
11000000=>00111111=>00111111=>11111100=>00000011
11000001=>00111110=>10011110=>01111001=>10000110
11000010=>00111101=>10011101=>10111001=>01000110
11000011=>00111100=>01001110=>01110010=>10001101
11000100=>00111011=>10011011=>11011001=>00100110
11000101=>00111010=>11001100=>00110011=>11001100
11000110=>00111001=>01001101=>10110010=>01001101
11000111=>00111000=>00100110=>01100100=>10011011
11001000=>00110111=>10010111=>11101001=>00010110
11001001=>00110110=>11001010=>01010011=>10101100
11001010=>00110101=>11001001=>10010011=>01101100
11001011=>00110100=>01100100=>00100110=>11011001
11001100=>00110011=>01001011=>11010010=>00101101
11001101=>00110010=>10100100=>00100101=>11011010
11001110=>00110001=>00100101=>10100100=>01011011
11001111=>00110000=>00010010=>01001000=>10110111
11010000=>00101111=>10001111=>11110001=>00001110
11010001=>00101110=>11000110=>01100011=>10011100
11010010=>00101101=>11000101=>10100011=>01011100
11010011=>00101100=>01100010=>01000110=>10111001
11010100=>00101011=>11000011=>11000011=>00111100
11010101=>00101010=>11100000=>00000111=>11111000
11010110=>00101001=>01100001=>10000110=>01111001
11010111=>00101000=>00110000=>00001100=>11110011
11011000=>00100111=>01000111=>11100010=>00011101
11011001=>00100110=>10100010=>01000101=>10111010
11011010=>00100101=>10100001=>10000101=>01111010
11011011=>00100100=>01010000=>00001010=>11110101
11011100=>00100011=>00100011=>11000100=>00111011
11011101=>00100010=>10010000=>00001001=>11110110
11011110=>00100001=>00010001=>10001000=>01110111
11011111=>00100000=>00001000=>00010000=>11101111
11100000=>00011111=>00011111=>11111000=>00000111
11100001=>00011110=>10001110=>01110001=>10001110
11100010=>00011101=>10001101=>10110001=>01001110
11100011=>00011100=>01000110=>01100010=>10011101
11100100=>00011011=>10001011=>11010001=>00101110
11100101=>00011010=>11000100=>00100011=>11011100
11100110=>00011001=>01000101=>10100010=>01011101
11100111=>00011000=>00100010=>01000100=>10111011
11101000=>00010111=>10000111=>11100001=>00011110
11101001=>00010110=>11000010=>01000011=>10111100
11101010=>00010101=>11000001=>10000011=>01111100
11101011=>00010100=>01100000=>00000110=>11111001
11101100=>00010011=>01000011=>11000010=>00111101
11101101=>00010010=>10100000=>00000101=>11111010
11101110=>00010001=>00100001=>10000100=>01111011
11101111=>00010000=>00010000=>00001000=>11110111
11110000=>00001111=>00001111=>11110000=>00001111
11110001=>00001110=>10000110=>01100001=>10011110
11110010=>00001101=>10000101=>10100001=>01011110
11110011=>00001100=>01000010=>01000010=>10111101
11110100=>00001011=>10000011=>11000001=>00111110
11110101=>00001010=>11000000=>00000011=>11111100
11110110=>00001001=>01000001=>10000010=>01111101
11110111=>00001000=>00100000=>00000100=>11111011
11111000=>00000111=>00000111=>11100000=>00011111
11111001=>00000110=>10000010=>01000001=>10111110
11111010=>00000101=>10000001=>10000001=>01111110
11111011=>00000100=>01000000=>00000010=>11111101
11111100=>00000011=>00000011=>11000000=>00111111
11111101=>00000010=>10000000=>00000001=>11111110
11111110=>00000001=>00000001=>10000000=>01111111
11111111=>00000000=>00000000=>00000000=>11111111
000000000=>111111111=>111111111=>111111111=>000000000
000000001=>111111110=>111111110=>011111111=>100000000
000000010=>111111101=>111111101=>101111111=>010000000
000000011=>111111100=>011111110=>011111110=>100000001
000000100=>111111011=>111111011=>110111111=>001000000
000000101=>111111010=>111111100=>001111111=>110000000
000000110=>111111001=>011111101=>101111110=>010000001
000000111=>111111000=>001111110=>011111100=>100000011
000001000=>111110111=>111110111=>111011111=>000100000
000001001=>111110110=>111111010=>010111111=>101000000
000001010=>111110101=>111111001=>100111111=>011000000
000001011=>111110100=>011111100=>001111110=>110000001
000001100=>111110011=>011111011=>110111110=>001000001
000001101=>111110010=>101111100=>001111101=>110000010
000001110=>111110001=>001111101=>101111100=>010000011
000001111=>111110000=>000111110=>011111000=>100000111
000010000=>111101111=>111101111=>111101111=>000010000
000010001=>111101110=>111110110=>011011111=>100100000
000010010=>111101101=>111110101=>101011111=>010100000
000010011=>111101100=>011111010=>010111110=>101000001
000010100=>111101011=>111110011=>110011111=>001100000
000010101=>111101010=>111111000=>000111111=>111000000
000010110=>111101001=>011111001=>100111110=>011000001
000010111=>111101000=>001111100=>001111100=>110000011
000011000=>111100111=>011110111=>111011110=>000100001
000011001=>111100110=>101111010=>010111101=>101000010
000011010=>111100101=>101111001=>100111101=>011000010
000011011=>111100100=>010111100=>001111010=>110000101
000011100=>111100011=>001111011=>110111100=>001000011
000011101=>111100010=>100111100=>001111001=>110000110
000011110=>111100001=>000111101=>101111000=>010000111
000011111=>111100000=>000011110=>011110000=>100001111
000100000=>111011111=>111011111=>111110111=>000001000
000100001=>111011110=>111101110=>011101111=>100010000
000100010=>111011101=>111101101=>101101111=>010010000
000100011=>111011100=>011110110=>011011110=>100100001
000100100=>111011011=>111101011=>110101111=>001010000
000100101=>111011010=>111110100=>001011111=>110100000
000100110=>111011001=>011110101=>101011110=>010100001
000100111=>111011000=>001111010=>010111100=>101000011
000101000=>111010111=>111100111=>111001111=>000110000
000101001=>111010110=>111110010=>010011111=>101100000
000101010=>111010101=>111110001=>100011111=>011100000
000101011=>111010100=>011111000=>000111110=>111000001
000101100=>111010011=>011110011=>110011110=>001100001
000101101=>111010010=>101111000=>000111101=>111000010
000101110=>111010001=>001111001=>100111100=>011000011
000101111=>111010000=>000111100=>001111000=>110000111
000110000=>111001111=>011101111=>111101110=>000010001
000110001=>111001110=>101110110=>011011101=>100100010
000110010=>111001101=>101110101=>101011101=>010100010
000110011=>111001100=>010111010=>010111010=>101000101
000110100=>111001011=>101110011=>110011101=>001100010
000110101=>111001010=>110111000=>000111011=>111000100
000110110=>111001001=>010111001=>100111010=>011000101
000110111=>111001000=>001011100=>001110100=>110001011
000111000=>111000111=>001110111=>111011100=>000100011
000111001=>111000110=>100111010=>010111001=>101000110
000111010=>111000101=>100111001=>100111001=>011000110
000111011=>111000100=>010011100=>001110010=>110001101
000111100=>111000011=>000111011=>110111000=>001000111
000111101=>111000010=>100011100=>001110001=>110001110
000111110=>111000001=>000011101=>101110000=>010001111
000111111=>111000000=>000001110=>011100000=>100011111
001000000=>110111111=>110111111=>111111011=>000000100
001000001=>110111110=>111011110=>011110111=>100001000
001000010=>110111101=>111011101=>101110111=>010001000
001000011=>110111100=>011101110=>011101110=>100010001
001000100=>110111011=>111011011=>110110111=>001001000
001000101=>110111010=>111101100=>001101111=>110010000
001000110=>110111001=>011101101=>101101110=>010010001
001000111=>110111000=>001110110=>011011100=>100100011
001001000=>110110111=>111010111=>111010111=>000101000
001001001=>110110110=>111101010=>010101111=>101010000
001001010=>110110101=>111101001=>100101111=>011010000
001001011=>110110100=>011110100=>001011110=>110100001
001001100=>110110011=>011101011=>110101110=>001010001
001001101=>110110010=>101110100=>001011101=>110100010
001001110=>110110001=>001110101=>101011100=>010100011
001001111=>110110000=>000111010=>010111000=>101000111
001010000=>110101111=>111001111=>111100111=>000011000
001010001=>110101110=>111100110=>011001111=>100110000
001010010=>110101101=>111100101=>101001111=>010110000
001010011=>110101100=>011110010=>010011110=>101100001
001010100=>110101011=>111100011=>110001111=>001110000
001010101=>110101010=>111110000=>000011111=>111100000
001010110=>110101001=>011110001=>100011110=>011100001
001010111=>110101000=>001111000=>000111100=>111000011
001011000=>110100111=>011100111=>111001110=>000110001
001011001=>110100110=>101110010=>010011101=>101100010
001011010=>110100101=>101110001=>100011101=>011100010
001011011=>110100100=>010111000=>000111010=>111000101
001011100=>110100011=>001110011=>110011100=>001100011
001011101=>110100010=>100111000=>000111001=>111000110
001011110=>110100001=>000111001=>100111000=>011000111
001011111=>110100000=>000011100=>001110000=>110001111
001100000=>110011111=>011011111=>111110110=>000001001
001100001=>110011110=>101101110=>011101101=>100010010
001100010=>110011101=>101101101=>101101101=>010010010
001100011=>110011100=>010110110=>011011010=>100100101
001100100=>110011011=>101101011=>110101101=>001010010
001100101=>110011010=>110110100=>001011011=>110100100
001100110=>110011001=>010110101=>101011010=>010100101
001100111=>110011000=>001011010=>010110100=>101001011
001101000=>110010111=>101100111=>111001101=>000110010
001101001=>110010110=>110110010=>010011011=>101100100
001101010=>110010101=>110110001=>100011011=>011100100
001101011=>110010100=>011011000=>000110110=>111001001
001101100=>110010011=>010110011=>110011010=>001100101
001101101=>110010010=>101011000=>000110101=>111001010
001101110=>110010001=>001011001=>100110100=>011001011
001101111=>110010000=>000101100=>001101000=>110010111
001110000=>110001111=>001101111=>111101100=>000010011
001110001=>110001110=>100110110=>011011001=>100100110
001110010=>110001101=>100110101=>101011001=>010100110
001110011=>110001100=>010011010=>010110010=>101001101
001110100=>110001011=>100110011=>110011001=>001100110
001110101=>110001010=>110011000=>000110011=>111001100
001110110=>110001001=>010011001=>100110010=>011001101
001110111=>110001000=>001001100=>001100100=>110011011
001111000=>110000111=>000110111=>111011000=>000100111
001111001=>110000110=>100011010=>010110001=>101001110
001111010=>110000101=>100011001=>100110001=>011001110
001111011=>110000100=>010001100=>001100010=>110011101
001111100=>110000011=>000011011=>110110000=>001001111
001111101=>110000010=>100001100=>001100001=>110011110
001111110=>110000001=>000001101=>101100000=>010011111
001111111=>110000000=>000000110=>011000000=>100111111
010000000=>101111111=>101111111=>111111101=>000000010
010000001=>101111110=>110111110=>011111011=>100000100
010000010=>101111101=>110111101=>101111011=>010000100
010000011=>101111100=>011011110=>011110110=>100001001
010000100=>101111011=>110111011=>110111011=>001000100
010000101=>101111010=>111011100=>001110111=>110001000
010000110=>101111001=>011011101=>101110110=>010001001
010000111=>101111000=>001101110=>011101100=>100010011
010001000=>101110111=>110110111=>111011011=>000100100
010001001=>101110110=>111011010=>010110111=>101001000
010001010=>101110101=>111011001=>100110111=>011001000
010001011=>101110100=>011101100=>001101110=>110010001
010001100=>101110011=>011011011=>110110110=>001001001
010001101=>101110010=>101101100=>001101101=>110010010
010001110=>101110001=>001101101=>101101100=>010010011
010001111=>101110000=>000110110=>011011000=>100100111
010010000=>101101111=>110101111=>111101011=>000010100
010010001=>101101110=>111010110=>011010111=>100101000
010010010=>101101101=>111010101=>101010111=>010101000
010010011=>101101100=>011101010=>010101110=>101010001
010010100=>101101011=>111010011=>110010111=>001101000
010010101=>101101010=>111101000=>000101111=>111010000
010010110=>101101001=>011101001=>100101110=>011010001
010010111=>101101000=>001110100=>001011100=>110100011
010011000=>101100111=>011010111=>111010110=>000101001
010011001=>101100110=>101101010=>010101101=>101010010
010011010=>101100101=>101101001=>100101101=>011010010
010011011=>101100100=>010110100=>001011010=>110100101
010011100=>101100011=>001101011=>110101100=>001010011
010011101=>101100010=>100110100=>001011001=>110100110
010011110=>101100001=>000110101=>101011000=>010100111
010011111=>101100000=>000011010=>010110000=>101001111
010100000=>101011111=>110011111=>111110011=>000001100
010100001=>101011110=>111001110=>011100111=>100011000
010100010=>101011101=>111001101=>101100111=>010011000
010100011=>101011100=>011100110=>011001110=>100110001
010100100=>101011011=>111001011=>110100111=>001011000
010100101=>101011010=>111100100=>001001111=>110110000
010100110=>101011001=>011100101=>101001110=>010110001
010100111=>101011000=>001110010=>010011100=>101100011
010101000=>101010111=>111000111=>111000111=>000111000
010101001=>101010110=>111100010=>010001111=>101110000
010101010=>101010101=>111100001=>100001111=>011110000
010101011=>101010100=>011110000=>000011110=>111100001
010101100=>101010011=>011100011=>110001110=>001110001
010101101=>101010010=>101110000=>000011101=>111100010
010101110=>101010001=>001110001=>100011100=>011100011
010101111=>101010000=>000111000=>000111000=>111000111
010110000=>101001111=>011001111=>111100110=>000011001
010110001=>101001110=>101100110=>011001101=>100110010
010110010=>101001101=>101100101=>101001101=>010110010
010110011=>101001100=>010110010=>010011010=>101100101
010110100=>101001011=>101100011=>110001101=>001110010
010110101=>101001010=>110110000=>000011011=>111100100
010110110=>101001001=>010110001=>100011010=>011100101
010110111=>101001000=>001011000=>000110100=>111001011
010111000=>101000111=>001100111=>111001100=>000110011
010111001=>101000110=>100110010=>010011001=>101100110
010111010=>101000101=>100110001=>100011001=>011100110
010111011=>101000100=>010011000=>000110010=>111001101
010111100=>101000011=>000110011=>110011000=>001100111
010111101=>101000010=>100011000=>000110001=>111001110
010111110=>101000001=>000011001=>100110000=>011001111
010111111=>101000000=>000001100=>001100000=>110011111
011000000=>100111111=>010111111=>111111010=>000000101
011000001=>100111110=>101011110=>011110101=>100001010
011000010=>100111101=>101011101=>101110101=>010001010
011000011=>100111100=>010101110=>011101010=>100010101
011000100=>100111011=>101011011=>110110101=>001001010
011000101=>100111010=>110101100=>001101011=>110010100
011000110=>100111001=>010101101=>101101010=>010010101
011000111=>100111000=>001010110=>011010100=>100101011
011001000=>100110111=>101010111=>111010101=>000101010
011001001=>100110110=>110101010=>010101011=>101010100
011001010=>100110101=>110101001=>100101011=>011010100
011001011=>100110100=>011010100=>001010110=>110101001
011001100=>100110011=>010101011=>110101010=>001010101
011001101=>100110010=>101010100=>001010101=>110101010
011001110=>100110001=>001010101=>101010100=>010101011
011001111=>100110000=>000101010=>010101000=>101010111
011010000=>100101111=>101001111=>111100101=>000011010
011010001=>100101110=>110100110=>011001011=>100110100
011010010=>100101101=>110100101=>101001011=>010110100
011010011=>100101100=>011010010=>010010110=>101101001
011010100=>100101011=>110100011=>110001011=>001110100
011010101=>100101010=>111010000=>000010111=>111101000
011010110=>100101001=>011010001=>100010110=>011101001
011010111=>100101000=>001101000=>000101100=>111010011
011011000=>100100111=>010100111=>111001010=>000110101
011011001=>100100110=>101010010=>010010101=>101101010
011011010=>100100101=>101010001=>100010101=>011101010
011011011=>100100100=>010101000=>000101010=>111010101
011011100=>100100011=>001010011=>110010100=>001101011
011011101=>100100010=>100101000=>000101001=>111010110
011011110=>100100001=>000101001=>100101000=>011010111
011011111=>100100000=>000010100=>001010000=>110101111
011100000=>100011111=>001011111=>111110100=>000001011
011100001=>100011110=>100101110=>011101001=>100010110
011100010=>100011101=>100101101=>101101001=>010010110
011100011=>100011100=>010010110=>011010010=>100101101
011100100=>100011011=>100101011=>110101001=>001010110
011100101=>100011010=>110010100=>001010011=>110101100
011100110=>100011001=>010010101=>101010010=>010101101
011100111=>100011000=>001001010=>010100100=>101011011
011101000=>100010111=>100100111=>111001001=>000110110
011101001=>100010110=>110010010=>010010011=>101101100
011101010=>100010101=>110010001=>100010011=>011101100
011101011=>100010100=>011001000=>000100110=>111011001
011101100=>100010011=>010010011=>110010010=>001101101
011101101=>100010010=>101001000=>000100101=>111011010
011101110=>100010001=>001001001=>100100100=>011011011
011101111=>100010000=>000100100=>001001000=>110110111
011110000=>100001111=>000101111=>111101000=>000010111
011110001=>100001110=>100010110=>011010001=>100101110
011110010=>100001101=>100010101=>101010001=>010101110
011110011=>100001100=>010001010=>010100010=>101011101
011110100=>100001011=>100010011=>110010001=>001101110
011110101=>100001010=>110001000=>000100011=>111011100
011110110=>100001001=>010001001=>100100010=>011011101
011110111=>100001000=>001000100=>001000100=>110111011
011111000=>100000111=>000010111=>111010000=>000101111
011111001=>100000110=>100001010=>010100001=>101011110
011111010=>100000101=>100001001=>100100001=>011011110
011111011=>100000100=>010000100=>001000010=>110111101
011111100=>100000011=>000001011=>110100000=>001011111
011111101=>100000010=>100000100=>001000001=>110111110
011111110=>100000001=>000000101=>101000000=>010111111
011111111=>100000000=>000000010=>010000000=>101111111
100000000=>011111111=>011111111=>111111110=>000000001
100000001=>011111110=>101111110=>011111101=>100000010
100000010=>011111101=>101111101=>101111101=>010000010
100000011=>011111100=>010111110=>011111010=>100000101
100000100=>011111011=>101111011=>110111101=>001000010
100000101=>011111010=>110111100=>001111011=>110000100
100000110=>011111001=>010111101=>101111010=>010000101
100000111=>011111000=>001011110=>011110100=>100001011
100001000=>011110111=>101110111=>111011101=>000100010
100001001=>011110110=>110111010=>010111011=>101000100
100001010=>011110101=>110111001=>100111011=>011000100
100001011=>011110100=>011011100=>001110110=>110001001
100001100=>011110011=>010111011=>110111010=>001000101
100001101=>011110010=>101011100=>001110101=>110001010
100001110=>011110001=>001011101=>101110100=>010001011
100001111=>011110000=>000101110=>011101000=>100010111
100010000=>011101111=>101101111=>111101101=>000010010
100010001=>011101110=>110110110=>011011011=>100100100
100010010=>011101101=>110110101=>101011011=>010100100
100010011=>011101100=>011011010=>010110110=>101001001
100010100=>011101011=>110110011=>110011011=>001100100
100010101=>011101010=>111011000=>000110111=>111001000
100010110=>011101001=>011011001=>100110110=>011001001
100010111=>011101000=>001101100=>001101100=>110010011
100011000=>011100111=>010110111=>111011010=>000100101
100011001=>011100110=>101011010=>010110101=>101001010
100011010=>011100101=>101011001=>100110101=>011001010
100011011=>011100100=>010101100=>001101010=>110010101
100011100=>011100011=>001011011=>110110100=>001001011
100011101=>011100010=>100101100=>001101001=>110010110
100011110=>011100001=>000101101=>101101000=>010010111
100011111=>011100000=>000010110=>011010000=>100101111
100100000=>011011111=>101011111=>111110101=>000001010
100100001=>011011110=>110101110=>011101011=>100010100
100100010=>011011101=>110101101=>101101011=>010010100
100100011=>011011100=>011010110=>011010110=>100101001
100100100=>011011011=>110101011=>110101011=>001010100
100100101=>011011010=>111010100=>001010111=>110101000
100100110=>011011001=>011010101=>101010110=>010101001
100100111=>011011000=>001101010=>010101100=>101010011
100101000=>011010111=>110100111=>111001011=>000110100
100101001=>011010110=>111010010=>010010111=>101101000
100101010=>011010101=>111010001=>100010111=>011101000
100101011=>011010100=>011101000=>000101110=>111010001
100101100=>011010011=>011010011=>110010110=>001101001
100101101=>011010010=>101101000=>000101101=>111010010
100101110=>011010001=>001101001=>100101100=>011010011
100101111=>011010000=>000110100=>001011000=>110100111
100110000=>011001111=>010101111=>111101010=>000010101
100110001=>011001110=>101010110=>011010101=>100101010
100110010=>011001101=>101010101=>101010101=>010101010
100110011=>011001100=>010101010=>010101010=>101010101
100110100=>011001011=>101010011=>110010101=>001101010
100110101=>011001010=>110101000=>000101011=>111010100
100110110=>011001001=>010101001=>100101010=>011010101
100110111=>011001000=>001010100=>001010100=>110101011
100111000=>011000111=>001010111=>111010100=>000101011
100111001=>011000110=>100101010=>010101001=>101010110
100111010=>011000101=>100101001=>100101001=>011010110
100111011=>011000100=>010010100=>001010010=>110101101
100111100=>011000011=>000101011=>110101000=>001010111
100111101=>011000010=>100010100=>001010001=>110101110
100111110=>011000001=>000010101=>101010000=>010101111
100111111=>011000000=>000001010=>010100000=>101011111
101000000=>010111111=>100111111=>111111001=>000000110
101000001=>010111110=>110011110=>011110011=>100001100
101000010=>010111101=>110011101=>101110011=>010001100
101000011=>010111100=>011001110=>011100110=>100011001
101000100=>010111011=>110011011=>110110011=>001001100
101000101=>010111010=>111001100=>001100111=>110011000
101000110=>010111001=>011001101=>101100110=>010011001
101000111=>010111000=>001100110=>011001100=>100110011
101001000=>010110111=>110010111=>111010011=>000101100
101001001=>010110110=>111001010=>010100111=>101011000
101001010=>010110101=>111001001=>100100111=>011011000
101001011=>010110100=>011100100=>001001110=>110110001
101001100=>010110011=>011001011=>110100110=>001011001
101001101=>010110010=>101100100=>001001101=>110110010
101001110=>010110001=>001100101=>101001100=>010110011
101001111=>010110000=>000110010=>010011000=>101100111
101010000=>010101111=>110001111=>111100011=>000011100
101010001=>010101110=>111000110=>011000111=>100111000
101010010=>010101101=>111000101=>101000111=>010111000
101010011=>010101100=>011100010=>010001110=>101110001
101010100=>010101011=>111000011=>110000111=>001111000
101010101=>010101010=>111100000=>000001111=>111110000
101010110=>010101001=>011100001=>100001110=>011110001
101010111=>010101000=>001110000=>000011100=>111100011
101011000=>010100111=>011000111=>111000110=>000111001
101011001=>010100110=>101100010=>010001101=>101110010
101011010=>010100101=>101100001=>100001101=>011110010
101011011=>010100100=>010110000=>000011010=>111100101
101011100=>010100011=>001100011=>110001100=>001110011
101011101=>010100010=>100110000=>000011001=>111100110
101011110=>010100001=>000110001=>100011000=>011100111
101011111=>010100000=>000011000=>000110000=>111001111
101100000=>010011111=>010011111=>111110010=>000001101
101100001=>010011110=>101001110=>011100101=>100011010
101100010=>010011101=>101001101=>101100101=>010011010
101100011=>010011100=>010100110=>011001010=>100110101
101100100=>010011011=>101001011=>110100101=>001011010
101100101=>010011010=>110100100=>001001011=>110110100
101100110=>010011001=>010100101=>101001010=>010110101
101100111=>010011000=>001010010=>010010100=>101101011
101101000=>010010111=>101000111=>111000101=>000111010
101101001=>010010110=>110100010=>010001011=>101110100
101101010=>010010101=>110100001=>100001011=>011110100
101101011=>010010100=>011010000=>000010110=>111101001
101101100=>010010011=>010100011=>110001010=>001110101
101101101=>010010010=>101010000=>000010101=>111101010
101101110=>010010001=>001010001=>100010100=>011101011
101101111=>010010000=>000101000=>000101000=>111010111
101110000=>010001111=>001001111=>111100100=>000011011
101110001=>010001110=>100100110=>011001001=>100110110
101110010=>010001101=>100100101=>101001001=>010110110
101110011=>010001100=>010010010=>010010010=>101101101
101110100=>010001011=>100100011=>110001001=>001110110
101110101=>010001010=>110010000=>000010011=>111101100
101110110=>010001001=>010010001=>100010010=>011101101
101110111=>010001000=>001001000=>000100100=>111011011
101111000=>010000111=>000100111=>111001000=>000110111
101111001=>010000110=>100010010=>010010001=>101101110
101111010=>010000101=>100010001=>100010001=>011101110
101111011=>010000100=>010001000=>000100010=>111011101
101111100=>010000011=>000010011=>110010000=>001101111
101111101=>010000010=>100001000=>000100001=>111011110
101111110=>010000001=>000001001=>100100000=>011011111
101111111=>010000000=>000000100=>001000000=>110111111
110000000=>001111111=>001111111=>111111100=>000000011
110000001=>001111110=>100111110=>011111001=>100000110
110000010=>001111101=>100111101=>101111001=>010000110
110000011=>001111100=>010011110=>011110010=>100001101
110000100=>001111011=>100111011=>110111001=>001000110
110000101=>001111010=>110011100=>001110011=>110001100
110000110=>001111001=>010011101=>101110010=>010001101
110000111=>001111000=>001001110=>011100100=>100011011
110001000=>001110111=>100110111=>111011001=>000100110
110001001=>001110110=>110011010=>010110011=>101001100
110001010=>001110101=>110011001=>100110011=>011001100
110001011=>001110100=>011001100=>001100110=>110011001
110001100=>001110011=>010011011=>110110010=>001001101
110001101=>001110010=>101001100=>001100101=>110011010
110001110=>001110001=>001001101=>101100100=>010011011
110001111=>001110000=>000100110=>011001000=>100110111
110010000=>001101111=>100101111=>111101001=>000010110
110010001=>001101110=>110010110=>011010011=>100101100
110010010=>001101101=>110010101=>101010011=>010101100
110010011=>001101100=>011001010=>010100110=>101011001
110010100=>001101011=>110010011=>110010011=>001101100
110010101=>001101010=>111001000=>000100111=>111011000
110010110=>001101001=>011001001=>100100110=>011011001
110010111=>001101000=>001100100=>001001100=>110110011
110011000=>001100111=>010010111=>111010010=>000101101
110011001=>001100110=>101001010=>010100101=>101011010
110011010=>001100101=>101001001=>100100101=>011011010
110011011=>001100100=>010100100=>001001010=>110110101
110011100=>001100011=>001001011=>110100100=>001011011
110011101=>001100010=>100100100=>001001001=>110110110
110011110=>001100001=>000100101=>101001000=>010110111
110011111=>001100000=>000010010=>010010000=>101101111
110100000=>001011111=>100011111=>111110001=>000001110
110100001=>001011110=>110001110=>011100011=>100011100
110100010=>001011101=>110001101=>101100011=>010011100
110100011=>001011100=>011000110=>011000110=>100111001
110100100=>001011011=>110001011=>110100011=>001011100
110100101=>001011010=>111000100=>001000111=>110111000
110100110=>001011001=>011000101=>101000110=>010111001
110100111=>001011000=>001100010=>010001100=>101110011
110101000=>001010111=>110000111=>111000011=>000111100
110101001=>001010110=>111000010=>010000111=>101111000
110101010=>001010101=>111000001=>100000111=>011111000
110101011=>001010100=>011100000=>000001110=>111110001
110101100=>001010011=>011000011=>110000110=>001111001
110101101=>001010010=>101100000=>000001101=>111110010
110101110=>001010001=>001100001=>100001100=>011110011
110101111=>001010000=>000110000=>000011000=>111100111
110110000=>001001111=>010001111=>111100010=>000011101
110110001=>001001110=>101000110=>011000101=>100111010
110110010=>001001101=>101000101=>101000101=>010111010
110110011=>001001100=>010100010=>010001010=>101110101
110110100=>001001011=>101000011=>110000101=>001111010
110110101=>001001010=>110100000=>000001011=>111110100
110110110=>001001001=>010100001=>100001010=>011110101
110110111=>001001000=>001010000=>000010100=>111101011
110111000=>001000111=>001000111=>111000100=>000111011
110111001=>001000110=>100100010=>010001001=>101110110
110111010=>001000101=>100100001=>100001001=>011110110
110111011=>001000100=>010010000=>000010010=>111101101
110111100=>001000011=>000100011=>110001000=>001110111
110111101=>001000010=>100010000=>000010001=>111101110
110111110=>001000001=>000010001=>100010000=>011101111
110111111=>001000000=>000001000=>000100000=>111011111
111000000=>000111111=>000111111=>111111000=>000000111
111000001=>000111110=>100011110=>011110001=>100001110
111000010=>000111101=>100011101=>101110001=>010001110
111000011=>000111100=>010001110=>011100010=>100011101
111000100=>000111011=>100011011=>110110001=>001001110
111000101=>000111010=>110001100=>001100011=>110011100
111000110=>000111001=>010001101=>101100010=>010011101
111000111=>000111000=>001000110=>011000100=>100111011
111001000=>000110111=>100010111=>111010001=>000101110
111001001=>000110110=>110001010=>010100011=>101011100
111001010=>000110101=>110001001=>100100011=>011011100
111001011=>000110100=>011000100=>001000110=>110111001
111001100=>000110011=>010001011=>110100010=>001011101
111001101=>000110010=>101000100=>001000101=>110111010
111001110=>000110001=>001000101=>101000100=>010111011
111001111=>000110000=>000100010=>010001000=>101110111
111010000=>000101111=>100001111=>111100001=>000011110
111010001=>000101110=>110000110=>011000011=>100111100
111010010=>000101101=>110000101=>101000011=>010111100
111010011=>000101100=>011000010=>010000110=>101111001
111010100=>000101011=>110000011=>110000011=>001111100
111010101=>000101010=>111000000=>000000111=>111111000
111010110=>000101001=>011000001=>100000110=>011111001
111010111=>000101000=>001100000=>000001100=>111110011
111011000=>000100111=>010000111=>111000010=>000111101
111011001=>000100110=>101000010=>010000101=>101111010
111011010=>000100101=>101000001=>100000101=>011111010
111011011=>000100100=>010100000=>000001010=>111110101
111011100=>000100011=>001000011=>110000100=>001111011
111011101=>000100010=>100100000=>000001001=>111110110
111011110=>000100001=>000100001=>100001000=>011110111
111011111=>000100000=>000010000=>000010000=>111101111
111100000=>000011111=>000011111=>111110000=>000001111
111100001=>000011110=>100001110=>011100001=>100011110
111100010=>000011101=>100001101=>101100001=>010011110
111100011=>000011100=>010000110=>011000010=>100111101
111100100=>000011011=>100001011=>110100001=>001011110
111100101=>000011010=>110000100=>001000011=>110111100
111100110=>000011001=>010000101=>101000010=>010111101
111100111=>000011000=>001000010=>010000100=>101111011
111101000=>000010111=>100000111=>111000001=>000111110
111101001=>000010110=>110000010=>010000011=>101111100
111101010=>000010101=>110000001=>100000011=>011111100
111101011=>000010100=>011000000=>000000110=>111111001
111101100=>000010011=>010000011=>110000010=>001111101
111101101=>000010010=>101000000=>000000101=>111111010
111101110=>000010001=>001000001=>100000100=>011111011
111101111=>000010000=>000100000=>000001000=>111110111
111110000=>000001111=>000001111=>111100000=>000011111
111110001=>000001110=>100000110=>011000001=>100111110
111110010=>000001101=>100000101=>101000001=>010111110
111110011=>000001100=>010000010=>010000010=>101111101
111110100=>000001011=>100000011=>110000001=>001111110
111110101=>000001010=>110000000=>000000011=>111111100
111110110=>000001001=>010000001=>100000010=>011111101
111110111=>000001000=>001000000=>000000100=>111111011
111111000=>000000111=>000000111=>111000000=>000111111
111111001=>000000110=>100000010=>010000001=>101111110
111111010=>000000101=>100000001=>100000001=>011111110
111111011=>000000100=>010000000=>000000010=>111111101
111111100=>000000011=>000000011=>110000000=>001111111
111111101=>000000010=>100000000=>000000001=>111111110
111111110=>000000001=>000000001=>100000000=>011111111
111111111=>000000000=>000000000=>000000000=>111111111
1010101010=>0101010101=>1111000001=>1000001111=>0111110000
1010101100=>0101010011=>0111000011=>1100001110=>0011110001
1010110010=>0101001101=>1011000101=>1010001101=>0101110010
1010110100=>0101001011=>1011000011=>1100001101=>0011110010
1010111000=>0101000111=>0011000111=>1110001100=>0001110011
1011001010=>0100110101=>1101001001=>1001001011=>0110110100
1011001100=>0100110011=>0101001011=>1101001010=>0010110101
1011010010=>0100101101=>1101000101=>1010001011=>0101110100
1011010100=>0100101011=>1101000011=>1100001011=>0011110100
1011011000=>0100100111=>0101000111=>1110001010=>0001110101
1011100100=>0100011011=>1001001011=>1101001001=>0010110110
1011101000=>0100010111=>1001000111=>1110001001=>0001110110
1011110000=>0100001111=>0001001111=>1111001000=>0000110111
1100101100=>0011010011=>0110010011=>1100100110=>0011011001
1100110010=>0011001101=>1010010101=>1010100101=>0101011010
1100110100=>0011001011=>1010010011=>1100100101=>0011011010
1100111000=>0011000111=>0010010111=>1110100100=>0001011011
1101001010=>0010110101=>1110001001=>1001000111=>0110111000
1101010010=>0010101101=>1110000101=>1010000111=>0101111000
1101010100=>0010101011=>1110000011=>1100000111=>0011111000
1101011000=>0010100111=>0110000111=>1110000110=>0001111001
1101100010=>0010011101=>1010001101=>1011000101=>0100111010
1101100100=>0010011011=>1010001011=>1101000101=>0010111010
1101101000=>0010010111=>1010000111=>1110000101=>0001111010
1101110000=>0010001111=>0010001111=>1111000100=>0000111011
1110001010=>0001110101=>1100011001=>1001100011=>0110011100
1110001100=>0001110011=>0100011011=>1101100010=>0010011101
1110010010=>0001101101=>1100010101=>1010100011=>0101011100
1110010100=>0001101011=>1100010011=>1100100011=>0011011100
1110011000=>0001100111=>0100010111=>1110100010=>0001011101
1110100010=>0001011101=>1100001101=>1011000011=>0100111100
1110100100=>0001011011=>1100001011=>1101000011=>0010111100
1110101000=>0001010111=>1100000111=>1110000011=>0001111100
1110110000=>0001001111=>0100001111=>1111000010=>0000111101
1111000100=>0000111011=>1000011011=>1101100001=>0010011110
1111001000=>0000110111=>1000010111=>1110100001=>0001011110
1111010000=>0000101111=>1000001111=>1111000001=>0000111110
1111100000=>0000011111=>0000011111=>1111100000=>0000011111
101010101010=>010101010101=>111110000001=>100000011111=>011111100000
101010101100=>010101010011=>011110000011=>110000011110=>001111100001
101010110010=>010101001101=>101110000101=>101000011101=>010111100010
101010110100=>010101001011=>101110000011=>110000011101=>001111100010
101010111000=>010101000111=>001110000111=>111000011100=>000111100011
101011001010=>010100110101=>110110001001=>100100011011=>011011100100
101011001100=>010100110011=>010110001011=>110100011010=>001011100101
101011010010=>010100101101=>110110000101=>101000011011=>010111100100
101011010100=>010100101011=>110110000011=>110000011011=>001111100100
101011011000=>010100100111=>010110000111=>111000011010=>000111100101
101011100010=>010100011101=>100110001101=>101100011001=>010011100110
101011100100=>010100011011=>100110001011=>110100011001=>001011100110
101011101000=>010100010111=>100110000111=>111000011001=>000111100110
101011110000=>010100001111=>000110001111=>111100011000=>000011100111
101100101010=>010011010101=>111010010001=>100010010111=>011101101000
101100101100=>010011010011=>011010010011=>110010010110=>001101101001
101100110010=>010011001101=>101010010101=>101010010101=>010101101010
101100110100=>010011001011=>101010010011=>110010010101=>001101101010
101100111000=>010011000111=>001010010111=>111010010100=>000101101011
101101001010=>010010110101=>111010001001=>100100010111=>011011101000
101101001100=>010010110011=>011010001011=>110100010110=>001011101001
101101010010=>010010101101=>111010000101=>101000010111=>010111101000
101101010100=>010010101011=>111010000011=>110000010111=>001111101000
101101011000=>010010100111=>011010000111=>111000010110=>000111101001
101101100010=>010010011101=>101010001101=>101100010101=>010011101010
101101100100=>010010011011=>101010001011=>110100010101=>001011101010
101101101000=>010010010111=>101010000111=>111000010101=>000111101010
101101110000=>010010001111=>001010001111=>111100010100=>000011101011
101110001010=>010001110101=>110010011001=>100110010011=>011001101100
101110001100=>010001110011=>010010011011=>110110010010=>001001101101
101110010010=>010001101101=>110010010101=>101010010011=>010101101100
101110010100=>010001101011=>110010010011=>110010010011=>001101101100
101110011000=>010001100111=>010010010111=>111010010010=>000101101101
101110100010=>010001011101=>110010001101=>101100010011=>010011101100
101110100100=>010001011011=>110010001011=>110100010011=>001011101100
101110101000=>010001010111=>110010000111=>111000010011=>000111101100
101110110000=>010001001111=>010010001111=>111100010010=>000011101101
101111000010=>010000111101=>100010011101=>101110010001=>010001101110
101111000100=>010000111011=>100010011011=>110110010001=>001001101110
101111001000=>010000110111=>100010010111=>111010010001=>000101101110
101111010000=>010000101111=>100010001111=>111100010001=>000011101110
101111100000=>010000011111=>000010011111=>111110010000=>000001101111
110010101100=>001101010011=>011100100011=>110001001110=>001110110001
110010110010=>001101001101=>101100100101=>101001001101=>010110110010
110010110100=>001101001011=>101100100011=>110001001101=>001110110010
110010111000=>001101000111=>001100100111=>111001001100=>000110110011
110011001010=>001100110101=>110100101001=>100101001011=>011010110100
110011001100=>001100110011=>010100101011=>110101001010=>001010110101
110011010010=>001100101101=>110100100101=>101001001011=>010110110100
110011011000=>001100100111=>010100100111=>111001001010=>000110110101
110011100100=>001100011011=>100100101011=>110101001001=>001010110110
110011101000=>001100010111=>100100100111=>111001001001=>000110110110
110011110000=>001100001111=>000100101111=>111101001000=>000010110111
110100101010=>001011010101=>111100010001=>100010001111=>011101110000
110100101100=>001011010011=>011100010011=>110010001110=>001101110001
110100110010=>001011001101=>101100010101=>101010001101=>010101110010
110100110100=>001011001011=>101100010011=>110010001101=>001101110010
110100111000=>001011000111=>001100010111=>111010001100=>000101110011
110101001010=>001010110101=>111100001001=>100100001111=>011011110000
110101010010=>001010101101=>111100000101=>101000001111=>010111110000
110101010100=>001010101011=>111100000011=>110000001111=>001111110000
110101011000=>001010100111=>011100000111=>111000001110=>000111110001
110101100010=>001010011101=>101100001101=>101100001101=>010011110010
110101100100=>001010011011=>101100001011=>110100001101=>001011110010
110101101000=>001010010111=>101100000111=>111000001101=>000111110010
110101110000=>001010001111=>001100001111=>111100001100=>000011110011
110110001010=>001001110101=>110100011001=>100110001011=>011001110100
110110001100=>001001110011=>010100011011=>110110001010=>001001110101
110110010010=>001001101101=>110100010101=>101010001011=>010101110100
110110010100=>001001101011=>110100010011=>110010001011=>001101110100
110110011000=>001001100111=>010100010111=>111010001010=>000101110101
110110100010=>001001011101=>110100001101=>101100001011=>010011110100
110110100100=>001001011011=>110100001011=>110100001011=>001011110100
110110101000=>001001010111=>110100000111=>111000001011=>000111110100
110110110000=>001001001111=>010100001111=>111100001010=>000011110101
110111000100=>001000111011=>100100011011=>110110001001=>001001110110
110111001000=>001000110111=>100100010111=>111010001001=>000101110110
110111010000=>001000101111=>100100001111=>111100001001=>000011110110
110111100000=>001000011111=>000100011111=>111110001000=>000001110111
111000101100=>000111010011=>011000110011=>110011000110=>001100111001
111000110100=>000111001011=>101000110011=>110011000101=>001100111010
111000111000=>000111000111=>001000110111=>111011000100=>000100111011
111001001010=>000110110101=>111000101001=>100101000111=>011010111000
111001001100=>000110110011=>011000101011=>110101000110=>001010111001
111001010010=>000110101101=>111000100101=>101001000111=>010110111000
111001010100=>000110101011=>111000100011=>110001000111=>001110111000
111001011000=>000110100111=>011000100111=>111001000110=>000110111001
111001100100=>000110011011=>101000101011=>110101000101=>001010111010
111001101000=>000110010111=>101000100111=>111001000101=>000110111010
111001110000=>000110001111=>001000101111=>111101000100=>000010111011
111010001010=>000101110101=>111000011001=>100110000111=>011001111000
111010001100=>000101110011=>011000011011=>110110000110=>001001111001
111010010010=>000101101101=>111000010101=>101010000111=>010101111000
111010010100=>000101101011=>111000010011=>110010000111=>001101111000
111010011000=>000101100111=>011000010111=>111010000110=>000101111001
111010100010=>000101011101=>111000001101=>101100000111=>010011111000
111010100100=>000101011011=>111000001011=>110100000111=>001011111000
111010101000=>000101010111=>111000000111=>111000000111=>000111111000
111010110000=>000101001111=>011000001111=>111100000110=>000011111001
111011000010=>000100111101=>101000011101=>101110000101=>010001111010
111011000100=>000100111011=>101000011011=>110110000101=>001001111010
111011001000=>000100110111=>101000010111=>111010000101=>000101111010
111011010000=>000100101111=>101000001111=>111100000101=>000011111010
111011100000=>000100011111=>001000011111=>111110000100=>000001111011
111100001100=>000011110011=>010000111011=>110111000010=>001000111101
111100010010=>000011101101=>110000110101=>101011000011=>010100111100
111100010100=>000011101011=>110000110011=>110011000011=>001100111100
111100011000=>000011100111=>010000110111=>111011000010=>000100111101
111100100010=>000011011101=>110000101101=>101101000011=>010010111100
111100100100=>000011011011=>110000101011=>110101000011=>001010111100
111100101000=>000011010111=>110000100111=>111001000011=>000110111100
111100110000=>000011001111=>010000101111=>111101000010=>000010111101
111101000010=>000010111101=>110000011101=>101110000011=>010001111100
111101000100=>000010111011=>110000011011=>110110000011=>001001111100
111101001000=>000010110111=>110000010111=>111010000011=>000101111100
111101010000=>000010101111=>110000001111=>111100000011=>000011111100
111101100000=>000010011111=>010000011111=>111110000010=>000001111101
111110000100=>000001111011=>100000111011=>110111000001=>001000111110
111110001000=>000001110111=>100000110111=>111011000001=>000100111110
111110010000=>000001101111=>100000101111=>111101000001=>000010111110
111110100000=>000001011111=>100000011111=>111110000001=>000001111110
111111000000=>000000111111=>000000111111=>111111000000=>000000111111
1111111111=>0000000000=>0000000000=>0000000000=>1111111111
1111111110=>0000000001=>0000000001=>1000000000=>0111111111
1111111101=>0000000010=>1000000000=>0000000001=>1111111110
1111111100=>0000000011=>0000000011=>1100000000=>0011111111
1111111011=>0000000100=>0100000000=>0000000010=>1111111101
1111111010=>0000000101=>1000000001=>1000000001=>0111111110
1111110001=>0000001110=>1000000110=>0110000001=>1001111110
1111101110=>0000010001=>0010000001=>1000000100=>0111111011
1111101011=>0000010100=>0110000000=>0000000110=>1111111001
1111101001=>0000010110=>1100000010=>0100000011=>1011111100
1111100100=>0000011011=>1000001011=>1101000001=>0010111110
1111100001=>0000011110=>1000001110=>0111000001=>1000111110
1111001010=>0000110101=>1100001001=>1001000011=>0110111100
1111000001=>0000111110=>1000011110=>0111100001=>1000011110
1110101111=>0001010000=>0001100000=>0000011000=>1111100111
1110100001=>0001011110=>1100001110=>0111000011=>1000111100
1110011100=>0001100011=>0010001011=>1101000100=>0010111011
1110010110=>0001101001=>0110001001=>1001000110=>0110111001
1110010011=>0001101100=>0110001010=>0101000110=>1010111001
1110010000=>0001101111=>1000101111=>1111010001=>0000101110
1110001000=>0001110111=>1000110111=>1110110001=>0001001110
1110000001=>0001111110=>1000111110=>0111110001=>1000001110
1101111110=>0010000001=>0000010001=>1000100000=>0111011111
1101000001=>0010111110=>1100011110=>0111100011=>1000011100
1100111001=>0011000110=>1001001010=>0101001001=>1010110110
1100101000=>0011010111=>1100100111=>1110010011=>0001101100
1100100001=>0011011110=>1100101110=>0111010011=>1000101100
1100011101=>0011100010=>1001001100=>0011001001=>1100110110
1100010001=>0011101110=>1100110110=>0110110011=>1001001100
1100001111=>0011110000=>0001001110=>0111001000=>1000110111
1100001010=>0011110101=>1100111001=>1001110011=>0110001100
1100001001=>0011110110=>1100111010=>0101110011=>1010001100
1100000011=>0011111100=>0100111110=>0111110010=>1000001101
1100000001=>0011111110=>1001111110=>0111111001=>1000000110
1100000000=>0011111111=>0011111111=>1111111100=>0000000011
1011101100=>0100010011=>0100100011=>1100010010=>0011101101
1011011110=>0100100001=>0001010001=>1000101000=>0111010111
1011010110=>0100101001=>0110100001=>1000010110=>0111101001
1011010011=>0100101100=>0110100010=>0100010110=>1011101001
1011010000=>0100101111=>1010001111=>1111000101=>0000111010
1011001110=>0100110001=>0010100101=>1010010100=>0101101011
1011001000=>0100110111=>1010010111=>1110100101=>0001011010
1011000110=>0100111001=>0101001101=>1011001010=>0100110101
1011000100=>0100111011=>1010011011=>1101100101=>0010011010
1011000001=>0100111110=>1010011110=>0111100101=>1000011010
1010111100=>0101000011=>0001100011=>1100011000=>0011100111
1010110000=>0101001111=>0110001111=>1111000110=>0000111001
1010101011=>0101010100=>0111100000=>0000011110=>1111100001
1010011110=>0101100001=>0001100101=>1010011000=>0101100111
1010011000=>0101100111=>0110010111=>1110100110=>0001011001
1010001100=>0101110011=>0110011011=>1101100110=>0010011001
1010001000=>0101110111=>1100110111=>1110110011=>0001001100
1010000001=>0101111110=>1100111110=>0111110011=>1000001100
1001111100=>0110000011=>0000101011=>1101010000=>0010101111
1001110110=>0110001001=>0100101001=>1001010010=>0110101101
1001110011=>0110001100=>0100101010=>0101010010=>1010101101
1001101100=>0110010011=>0101010011=>1100101010=>0011010101
1001101010=>0110010101=>1101010001=>1000101011=>0111010100
1001101000=>0110010111=>1010100111=>1110010101=>0001101010
1001100110=>0110011001=>0101010101=>1010101010=>0101010101
1001100100=>0110011011=>1010101011=>1101010101=>0010101010
1001011110=>0110100001=>0001101001=>1001011000=>0110100111
1001011011=>0110100100=>0101101000=>0001011010=>1110100101
1001011000=>0110100111=>0110100111=>1110010110=>0001101001
1001010100=>0110101011=>1110100011=>1100010111=>0011101000
1001001110=>0110110001=>0011010101=>1010101100=>0101010011
1001001100=>0110110011=>0110101011=>1101010110=>0010101001
1001001010=>0110110101=>1110101001=>1001010111=>0110101000
1001001000=>0110110111=>1101010111=>1110101011=>0001010100
1001000110=>0110111001=>0110101101=>1011010110=>0100101001
1001000100=>0110111011=>1101011011=>1101101011=>0010010100
1000111110=>0111000001=>0000101101=>1011010000=>0100101111
1000110010=>0111001101=>1010110101=>1010110101=>0101001010
1000101110=>0111010001=>0011011001=>1001101100=>0110010011
1000101100=>0111010011=>0110110011=>1100110110=>0011001001
1000101010=>0111010101=>1110110001=>1000110111=>0111001000
1000100110=>0111011001=>0110110101=>1010110110=>0101001001
1000011110=>0111100001=>0001011101=>1011101000=>0100010111
1000010110=>0111101001=>0110111001=>1001110110=>0110001001
1000000110=>0111111001=>0101111101=>1011111010=>0100000101
1000000010=>0111111101=>1011111101=>1011111101=>0100000010
1000000001=>0111111110=>1011111110=>0111111101=>1000000010
1000000000=>0111111111=>0111111111=>1111111110=>0000000001
10000000000=>01111111111=>01111111111=>11111111110=>00000000001
10000000110=>01111111001=>01011111101=>10111111010=>01000000101
10000011110=>01111100001=>00010111101=>10111101000=>01000010111
11111111110=>00000000001=>00000000001=>10000000000=>01111111111
100010011110=>011101100001=>000110110101=>101011011000=>010100100111
100111011110=>011000100001=>000100101001=>100101001000=>011010110111
100010001010=>011101110101=>111011011001=>100110110111=>011001001000
100001011100=>011110100011=>001101110011=>110011101100=>001100010011
100010101010=>011101010101=>111101100001=>100001101111=>011110010000
100010011100=>011101100011=>001101101011=>110101101100=>001010010011
100101010110=>011010101001=>011110100001=>100001011110=>011110100001
100011100110=>011100011001=>010010110101=>101011010010=>010100101101
0111111111=>1000000000=>0000000010=>0100000000=>1011111111
0111111101=>1000000010=>1000000100=>0010000001=>1101111110
0111111001=>1000000110=>1000001010=>0101000001=>1010111110
0111110001=>1000001110=>1000010110=>0110100001=>1001011110
0111100001=>1000011110=>1000101110=>0111010001=>1000101110
0111000001=>1000111110=>1001011110=>0111101001=>1000010110
0110000001=>1001111110=>1010111110=>0111110101=>1000001010
0100000001=>1011111110=>1101111110=>0111111011=>1000000100
0000000001=>1111111110=>1111111110=>0111111111=>1000000000
01111111111=>10000000000=>00000000010=>01000000000=>10111111111
0111111011=>1000000100=>0100000100=>0010000010=>1101111101
01111111001=>10000000110=>10000001010=>01010000001=>10101111110
0111101001=>1000010110=>1100010010=>0100100011=>1011011100
01111100001=>10000011110=>10000101110=>01110100001=>10001011110
0111010001=>1000101110=>1100100110=>0110010011=>1001101100
0110100001=>1001011110=>1101001110=>0111001011=>1000110100
01100000001=>10011111110=>10101111110=>01111110101=>10000001010
0010000001=>1101111110=>1110111110=>0111110111=>1000001000
01000000001=>10111111110=>11011111110=>01111111011=>10000000100
00000000001=>11111111110=>11111111110=>01111111111=>10000000000
0101010101=>1010101010=>1111100000=>0000011111=>1111100000
0101010011=>1010101100=>0111100010=>0100011110=>1011100001
0101001101=>1010110010=>1011100100=>0010011101=>1101100010
0101001011=>1010110100=>0111100100=>0010011110=>1101100001
0101000111=>1010111000=>0011100110=>0110011100=>1001100011
0100110101=>1011001010=>1101101000=>0001011011=>1110100100
0100110011=>1011001100=>0101101010=>0101011010=>1010100101
0100101101=>1011010010=>1011101000=>0001011101=>1110100010
0100101011=>1011010100=>0111101000=>0001011110=>1110100001
0100100111=>1011011000=>0011101010=>0101011100=>1010100011
0100011101=>1011100010=>1001101100=>0011011001=>1100100110
0100011011=>1011100100=>0101101100=>0011011010=>1100100101
0100010111=>1011101000=>0011101100=>0011011100=>1100100011
0100001111=>1011110000=>0001101110=>0111011000=>1000100111
0011010101=>1100101010=>1110110000=>0000110111=>1111001000
0011010011=>1100101100=>0110110010=>0100110110=>1011001001
0011001101=>1100110010=>1010110100=>0010110101=>1101001010
0011001011=>1100110100=>0110110100=>0010110110=>1101001001
0011000111=>1100111000=>0010110110=>0110110100=>1001001011
0010110101=>1101001010=>1101110000=>0000111011=>1111000100
0010110011=>1101001100=>0101110010=>0100111010=>1011000101
0010101101=>1101010010=>1011110000=>0000111101=>1111000010
0010101011=>1101010100=>0111110000=>0000111110=>1111000001
0010100111=>1101011000=>0011110010=>0100111100=>1011000011
0010011101=>1101100010=>1001110100=>0010111001=>1101000110
0010011011=>1101100100=>0101110100=>0010111010=>1101000101
0010010111=>1101101000=>0011110100=>0010111100=>1101000011
0010001111=>1101110000=>0001110110=>0110111000=>1001000111
0001110101=>1110001010=>1100111000=>0001110011=>1110001100
0001110011=>1110001100=>0100111010=>0101110010=>1010001101
0001101101=>1110010010=>1010111000=>0001110101=>1110001010
0001101011=>1110010100=>0110111000=>0001110110=>1110001001
0001100111=>1110011000=>0010111010=>0101110100=>1010001011
0001011101=>1110100010=>1001111000=>0001111001=>1110000110
0001011011=>1110100100=>0101111000=>0001111010=>1110000101
0001010111=>1110101000=>0011111000=>0001111100=>1110000011
0001001111=>1110110000=>0001111010=>0101111000=>1010000111
0000111101=>1111000010=>1000111100=>0011110001=>1100001110
0000111011=>1111000100=>0100111100=>0011110010=>1100001101
0000110111=>1111001000=>0010111100=>0011110100=>1100001011
0000101111=>1111010000=>0001111100=>0011111000=>1100000111
0000011111=>1111100000=>0000111110=>0111110000=>1000001111
010101010101=>101010101010=>111111000000=>000000111111=>111111000000
010101010011=>101010101100=>011111000010=>010000111110=>101111000001
010101001101=>101010110010=>101111000100=>001000111101=>110111000010
010101001011=>101010110100=>011111000100=>001000111110=>110111000001
010101000111=>101010111000=>001111000110=>011000111100=>100111000011
010100110101=>101011001010=>110111001000=>000100111011=>111011000100
010100110011=>101011001100=>010111001010=>010100111010=>101011000101
010100101101=>101011010010=>101111001000=>000100111101=>111011000010
010100101011=>101011010100=>011111001000=>000100111110=>111011000001
010100100111=>101011011000=>001111001010=>010100111100=>101011000011
010100011101=>101011100010=>100111001100=>001100111001=>110011000110
010100011011=>101011100100=>010111001100=>001100111010=>110011000101
010100010111=>101011101000=>001111001100=>001100111100=>110011000011
010100001111=>101011110000=>000111001110=>011100111000=>100011000111
010011010101=>101100101010=>111011010000=>000010110111=>111101001000
010011010011=>101100101100=>011011010010=>010010110110=>101101001001
010011001101=>101100110010=>101011010100=>001010110101=>110101001010
010011001011=>101100110100=>011011010100=>001010110110=>110101001001
010011000111=>101100111000=>001011010110=>011010110100=>100101001011
010010110101=>101101001010=>110111010000=>000010111011=>111101000100
010010110011=>101101001100=>010111010010=>010010111010=>101101000101
010010101101=>101101010010=>101111010000=>000010111101=>111101000010
010010101011=>101101010100=>011111010000=>000010111110=>111101000001
010010100111=>101101011000=>001111010010=>010010111100=>101101000011
010010011101=>101101100010=>100111010100=>001010111001=>110101000110
010010011011=>101101100100=>010111010100=>001010111010=>110101000101
010010010111=>101101101000=>001111010100=>001010111100=>110101000011
010010001111=>101101110000=>000111010110=>011010111000=>100101000111
010001110101=>101110001010=>110011011000=>000110110011=>111001001100
010001110011=>101110001100=>010011011010=>010110110010=>101001001101
010001101101=>101110010010=>101011011000=>000110110101=>111001001010
010001101011=>101110010100=>011011011000=>000110110110=>111001001001
010001100111=>101110011000=>001011011010=>010110110100=>101001001011
010001011101=>101110100010=>100111011000=>000110111001=>111001000110
010001011011=>101110100100=>010111011000=>000110111010=>111001000101
010001010111=>101110101000=>001111011000=>000110111100=>111001000011
010001001111=>101110110000=>000111011010=>010110111000=>101001000111
010000111101=>101111000010=>100011011100=>001110110001=>110001001110
010000111011=>101111000100=>010011011100=>001110110010=>110001001101
010000110111=>101111001000=>001011011100=>001110110100=>110001001011
010000101111=>101111010000=>000111011100=>001110111000=>110001000111
010000011111=>101111100000=>000011011110=>011110110000=>100001001111
001101010101=>110010101010=>111101100000=>000001101111=>111110010000
001101010011=>110010101100=>011101100010=>010001101110=>101110010001
001101001101=>110010110010=>101101100100=>001001101101=>110110010010
001101001011=>110010110100=>011101100100=>001001101110=>110110010001
001101000111=>110010111000=>001101100110=>011001101100=>100110010011
001100110101=>110011001010=>110101101000=>000101101011=>111010010100
001100110011=>110011001100=>010101101010=>010101101010=>101010010101
001100101101=>110011010010=>101101101000=>000101101101=>111010010010
001100101011=>110011010100=>011101101000=>000101101110=>111010010001
001100100111=>110011011000=>001101101010=>010101101100=>101010010011
001100011101=>110011100010=>100101101100=>001101101001=>110010010110
001100011011=>110011100100=>010101101100=>001101101010=>110010010101
001100010111=>110011101000=>001101101100=>001101101100=>110010010011
001100001111=>110011110000=>000101101110=>011101101000=>100010010111
001011010101=>110100101010=>111011100000=>000001110111=>111110001000
001011010011=>110100101100=>011011100010=>010001110110=>101110001001
001011001101=>110100110010=>101011100100=>001001110101=>110110001010
001011001011=>110100110100=>011011100100=>001001110110=>110110001001
001011000111=>110100111000=>001011100110=>011001110100=>100110001011
001010110101=>110101001010=>110111100000=>000001111011=>111110000100
001010110011=>110101001100=>010111100010=>010001111010=>101110000101
001010101101=>110101010010=>101111100000=>000001111101=>111110000010
001010101011=>110101010100=>011111100000=>000001111110=>111110000001
001010100111=>110101011000=>001111100010=>010001111100=>101110000011
001010011101=>110101100010=>100111100100=>001001111001=>110110000110
001010011011=>110101100100=>010111100100=>001001111010=>110110000101
001010010111=>110101101000=>001111100100=>001001111100=>110110000011
001010001111=>110101110000=>000111100110=>011001111000=>100110000111
001001110101=>110110001010=>110011101000=>000101110011=>111010001100
001001110011=>110110001100=>010011101010=>010101110010=>101010001101
001001101101=>110110010010=>101011101000=>000101110101=>111010001010
001001101011=>110110010100=>011011101000=>000101110110=>111010001001
001001100111=>110110011000=>001011101010=>010101110100=>101010001011
001001011101=>110110100010=>100111101000=>000101111001=>111010000110
001001011011=>110110100100=>010111101000=>000101111010=>111010000101
001001010111=>110110101000=>001111101000=>000101111100=>111010000011
001001001111=>110110110000=>000111101010=>010101111000=>101010000111
001000111101=>110111000010=>100011101100=>001101110001=>110010001110
001000111011=>110111000100=>010011101100=>001101110010=>110010001101
001000110111=>110111001000=>001011101100=>001101110100=>110010001011
001000101111=>110111010000=>000111101100=>001101111000=>110010000111
001000011111=>110111100000=>000011101110=>011101110000=>100010001111
000111010101=>111000101010=>111001110000=>000011100111=>111100011000
000111010011=>111000101100=>011001110010=>010011100110=>101100011001
000111001101=>111000110010=>101001110100=>001011100101=>110100011010
000111001011=>111000110100=>011001110100=>001011100110=>110100011001
000111000111=>111000111000=>001001110110=>011011100100=>100100011011
000110110101=>111001001010=>110101110000=>000011101011=>111100010100
000110110011=>111001001100=>010101110010=>010011101010=>101100010101
000110101101=>111001010010=>101101110000=>000011101101=>111100010010
000110101011=>111001010100=>011101110000=>000011101110=>111100010001
000110100111=>111001011000=>001101110010=>010011101100=>101100010011
000110011101=>111001100010=>100101110100=>001011101001=>110100010110
000110011011=>111001100100=>010101110100=>001011101010=>110100010101
000110010111=>111001101000=>001101110100=>001011101100=>110100010011
000110001111=>111001110000=>000101110110=>011011101000=>100100010111
000101110101=>111010001010=>110011110000=>000011110011=>111100001100
000101110011=>111010001100=>010011110010=>010011110010=>101100001101
000101101101=>111010010010=>101011110000=>000011110101=>111100001010
000101101011=>111010010100=>011011110000=>000011110110=>111100001001
000101100111=>111010011000=>001011110010=>010011110100=>101100001011
000101011101=>111010100010=>100111110000=>000011111001=>111100000110
000101011011=>111010100100=>010111110000=>000011111010=>111100000101
000101010111=>111010101000=>001111110000=>000011111100=>111100000011
000101001111=>111010110000=>000111110010=>010011111000=>101100000111
000100111101=>111011000010=>100011110100=>001011110001=>110100001110
000100111011=>111011000100=>010011110100=>001011110010=>110100001101
000100110111=>111011001000=>001011110100=>001011110100=>110100001011
000100101111=>111011010000=>000111110100=>001011111000=>110100000111
000100011111=>111011100000=>000011110110=>011011110000=>100100001111
000011110101=>111100001010=>110001111000=>000111100011=>111000011100
000011110011=>111100001100=>010001111010=>010111100010=>101000011101
000011101101=>111100010010=>101001111000=>000111100101=>111000011010
000011101011=>111100010100=>011001111000=>000111100110=>111000011001
000011100111=>111100011000=>001001111010=>010111100100=>101000011011
000011011101=>111100100010=>100101111000=>000111101001=>111000010110
000011011011=>111100100100=>010101111000=>000111101010=>111000010101
000011010111=>111100101000=>001101111000=>000111101100=>111000010011
000011001111=>111100110000=>000101111010=>010111101000=>101000010111
000010111101=>111101000010=>100011111000=>000111110001=>111000001110
000010111011=>111101000100=>010011111000=>000111110010=>111000001101
000010110111=>111101001000=>001011111000=>000111110100=>111000001011
000010101111=>111101010000=>000111111000=>000111111000=>111000000111
000010011111=>111101100000=>000011111010=>010111110000=>101000001111
000001111101=>111110000010=>100001111100=>001111100001=>110000011110
000001111011=>111110000100=>010001111100=>001111100010=>110000011101
000001110111=>111110001000=>001001111100=>001111100100=>110000011011
000001101111=>111110010000=>000101111100=>001111101000=>110000010111
000001011111=>111110100000=>000011111100=>001111110000=>110000001111
000000111111=>111111000000=>000001111110=>011111100000=>100000011111
111111111111=>000000000000=>000000000000=>000000000000=>111111111111
0000000000=>1111111111=>1111111111=>1111111111=>0000000000
0000000110=>1111111001=>0111111101=>1011111110=>0100000001
0000011110=>1111100001=>0001111101=>1011111000=>0100000111
0001100110=>1110011001=>0101110101=>1010111010=>0101000101
0001111000=>1110000111=>0001110111=>1110111000=>0001000111
0001001110=>1110110001=>0011110101=>1010111100=>0101000011
0001011010=>1110100101=>1011110001=>1000111101=>0111000010
0110000000=>1001111111=>0101111111=>1111111010=>0000000101
0110011000=>1001100111=>0101010111=>1110101010=>0001010101
0110011110=>1001100001=>0001010101=>1010101000=>0101010111
0110010010=>1001101101=>1101010101=>1010101011=>0101010100
0111100110=>1000011001=>0100010101=>1010100010=>0101011101
0111111000=>1000000111=>0000010111=>1110100000=>0001011111
0111111110=>1000000001=>0000000101=>1010000000=>0101111111
0111110010=>1000001101=>1000010101=>1010100001=>0101011110
0111001000=>1000110111=>1001010111=>1110101001=>0001010110
0100100000=>1011011111=>1101011111=>1111101011=>0000010100
0100100110=>1011011001=>0111010101=>1010101110=>0101010001
0100111000=>1011000111=>0011010111=>1110101100=>0001010011
0100111110=>1011000001=>0000110101=>1010110000=>0101001111
0100110010=>1011001101=>1011010101=>1010101101=>0101010010
0100001110=>1011110001=>0011011101=>1011101100=>0100010011
0100011010=>1011100101=>1011011001=>1001101101=>0110010010
0101101000=>1010010111=>1011000111=>1110001101=>0001110010
0101100010=>1010011101=>1011001101=>1011001101=>0100110010
0101001010=>1010110101=>1111001001=>1001001111=>0110110000
000000000000=>111111111111=>111111111111=>111111111111=>000000000000
000001100000=>111110011111=>011111011111=>111110111110=>000001000001
000110011110=>111001100001=>000101110101=>101011101000=>010100010111
000111111000=>111000000111=>000001110111=>111011100000=>000100011111
000111001110=>111000110001=>001001110101=>101011100100=>010100011011
000111011010=>111000100101=>101001110001=>100011100101=>011100011010
000101101110=>111010010001=>001011110001=>100011110100=>011100001011
011000011000=>100111100111=>010101110111=>111011101010=>000100010101
011000011110=>100111100001=>000101011101=>101110101000=>010001010111
011001100110=>100110011001=>010101010101=>101010101010=>010101010101
011001111000=>100110000111=>000101010111=>111010101000=>000101010111
011001111110=>100110000001=>000001010101=>101010100000=>010101011111
011110000110=>100001111001=>010001011101=>101110100010=>010001011101
011110011000=>100001100111=>010001010111=>111010100010=>000101011101
011110011110=>100001100001=>000100010101=>101010001000=>010101110111
011111100000=>100000011111=>000001011111=>111110100000=>000001011111
011111100110=>100000011001=>010000010101=>101010000010=>010101111101
011111111110=>100000000001=>000000000101=>101000000000=>010111111111
011111001000=>100000110111=>100001010111=>111010100001=>000101011110
011111000010=>100000111101=>100001011101=>101110100001=>010001011110
011100111000=>100011000111=>001001010111=>111010100100=>000101011011
011101101000=>100010010111=>101001000111=>111000100101=>000111011010
011101100010=>100010011101=>101001001101=>101100100101=>010011011010
010010011000=>101101100111=>011101010111=>111010101110=>000101010001
010011100110=>101100011001=>010011010101=>101010110010=>010101001101
010011011010=>101100100101=>101011010001=>100010110101=>011101001010
010001101000=>101110010111=>101101100111=>111001101101=>000110010010
010001111010=>101110000101=>100011011001=>100110110001=>011001001110
010110110010=>101001001101=>101011000101=>101000110101=>010111001010
010110001000=>101001110111=>101100110111=>111011001101=>000100110010
010111101000=>101000010111=>100011000111=>111000110001=>000111001110
010111100010=>101000011101=>100011001101=>101100110001=>010011001110
010101101010=>101010010101=>110111000001=>100000111011=>011111000100
0010101010=>1101010101=>1111100001=>1000011111=>0111100000
0010101100=>1101010011=>0111100011=>1100011110=>0011100001
00000000000=>11111111111=>11111111111=>11111111111=>00000000000
0000101110=>1111010001=>0011111001=>1001111100=>0110000011
0010110010=>1101001101=>1011100101=>1010011101=>0101100010
0010111000=>1101000111=>0011100111=>1110011100=>0001100011
0011001010=>1100110101=>1101101001=>1001011011=>0110100100
0011001100=>1100110011=>0101101011=>1101011010=>0010100101
0011110000=>1100001111=>0001101111=>1111011000=>0000100111
0100101010=>1011010101=>1111010001=>1000101111=>0111010000
001010101010=>110101010101=>111111000001=>100000111111=>011111000000
001010101100=>110101010011=>011111000011=>110000111110=>001111000001
001010111000=>110101000111=>001111000111=>111000111100=>000111000011
001011001010=>110100110101=>110111001001=>100100111011=>011011000100
001011100010=>110100011101=>100111001101=>101100111001=>010011000110
001011110000=>110100001111=>000111001111=>111100111000=>000011000111
001100101010=>110011010101=>111011010001=>100010110111=>011101001000
001100110010=>110011001101=>101011010101=>101010110101=>010101001010
001100111000=>110011000111=>001011010111=>111010110100=>000101001011
001110001010=>110001110101=>110011011001=>100110110011=>011001001100
001111000010=>110000111101=>100011011101=>101110110001=>010001001110
001111100000=>110000011111=>000011011111=>111110110000=>000001001111
010010111000=>101101000111=>001110100111=>111001011100=>000110100011
010011100100=>101100011011=>100110101011=>110101011001=>001010100110
010011101000=>101100010111=>100110100111=>111001011001=>000110100110
010101110000=>101010001111=>001110001111=>111100011100=>000011100011
010111000100=>101000111011=>100110011011=>110110011001=>001001100110
010111001000=>101000110111=>100110010111=>111010011001=>000101100110
010111010000=>101000101111=>100110001111=>111100011001=>000011100110
011001100100=>100110011011=>101010101011=>110101010101=>001010101010
011001101000=>100110010111=>101010100111=>111001010101=>000110101010
011010110000=>100101001111=>011010001111=>111100010110=>000011101001
011011000100=>100100111011=>101010011011=>110110010101=>001001101010
011011001000=>100100110111=>101010010111=>111010010101=>000101101010
011011010000=>100100101111=>101010001111=>111100010101=>000011101010
01010101010=>10101010101=>11111000001=>10000011111=>01111100000
0100011111=>1011100000=>0000110110=>0110110000=>1001001111
0100101111=>1011010000=>0001110100=>0010111000=>1101000111
0110101010=>1001010101=>1110100001=>1000010111=>0111101000
010101111000=>101010000111=>000111000111=>111000111000=>000111000111
010111001100=>101000110011=>010011001011=>110100110010=>001011001101
010111011000=>101000100111=>010011000111=>111000110010=>000111001101
011011000110=>100100111001=>010101001101=>101100101010=>010011010101
011011100100=>100100011011=>100101001011=>110100101001=>001011010110
011011101000=>100100010111=>100101000111=>111000101001=>000111010110
010011101100=>101100010011=>010011010011=>110010110010=>001101001101
100101110100=>011010001011=>100110100011=>110001011001=>001110100110
100011111000=>011100000111=>000010110111=>111011010000=>000100101111
11111111101=>00000000010=>10000000000=>00000000001=>11111111110
0001000001=>1110111110=>1111011110=>0111101111=>1000010000
0001101100=>1110010011=>0101110011=>1100111010=>0011000101
0010011100=>1101100011=>0011101011=>1101011100=>0010100011
0001011100=>1110100011=>0011110011=>1100111100=>0011000011
0000111100=>1111000011=>0001111011=>1101111000=>0010000111
0001101010=>1110010101=>1101110001=>1000111011=>0111000100
0010100110=>1101011001=>0111100101=>1010011110=>0101100001
0010010110=>1101101001=>0111101001=>1001011110=>0110100001
0001010110=>1110101001=>0111110001=>1000111110=>0111000001
0000110110=>1111001001=>0101111001=>1001111010=>0110000101
0010001110=>1101110001=>0011101101=>1011011100=>0100100011
010001011100=>101110100011=>001110110011=>110011011100=>001100100011
001001011100=>110110100011=>001111010011=>110010111100=>001101000011
000101011100=>111010100011=>001111100011=>110001111100=>001110000011
000010111100=>111101000011=>000111110011=>110011111000=>001100000111
001001110010=>110110001101=>100111010101=>101010111001=>010101000110
000011110010=>111100001101=>100011110101=>101011110001=>010100001110
000111001010=>111000110101=>110011101001=>100101110011=>011010001100
000110101010=>111001010101=>111011100001=>100001110111=>011110001000
001001101010=>110110010101=>110111010001=>100010111011=>011101000100
000101101010=>111010010101=>110111100001=>100001111011=>011110000100
000011101010=>111100010101=>110011110001=>100011110011=>011100001100
000011011010=>111100100101=>101011110001=>100011110101=>011100001010
001000111010=>110111000101=>100111011001=>100110111001=>011001000110
001010100110=>110101011001=>011111000101=>101000111110=>010111000001
001010010110=>110101101001=>011111001001=>100100111110=>011011000001
001001010110=>110110101001=>011111010001=>100010111110=>011101000001
000101010110=>111010101001=>011111100001=>100001111110=>011110000001
001010001110=>110101110001=>001111001101=>101100111100=>010011000011
001001001110=>110110110001=>001111010101=>101010111100=>010101000011
000101001110=>111010110001=>001111100101=>101001111100=>010110000011
001000101110=>110111010001=>001111011001=>100110111100=>011001000011
000100101110=>111011010001=>001111101001=>100101111100=>011010000011
000010101110=>111101010001=>001111110001=>100011111100=>011100000011
000010011110=>111101100001=>000111110101=>101011111000=>010100000111
000001011110=>111110100001=>000111111001=>100111111000=>011000000111
000000111110=>111111000001=>000011111101=>101111110000=>010000001111
10000000001=>01111111110=>10111111110=>01111111101=>10000000010
11100000001=>00011111110=>10001111110=>01111110001=>10000001110
11111000001=>00000111110=>10000011110=>01111000001=>10000111110
11111110001=>00000001110=>10000000110=>01100000001=>10011111110
100101101010=>011010010101=>110110100001=>100001011011=>011110100100
100110100110=>011001011001=>011010100101=>101001010110=>010110101001
100100101011=>011011010100=>011110101000=>000101011110=>111010100001
100010001111=>011101110000=>000110110110=>011011011000=>100100100111
0111001011=>1000110100=>0110010100=>0010100110=>1101011001
111000100011=>000111011100=>011000110110=>011011000110=>100100111001
010001011110=>101110100001=>000111011001=>100110111000=>011001000111
0010000000=>1101111111=>1101111111=>1111111011=>0000000100
110011010101=>001100101010=>111010010000=>000010010111=>111101101000
101011010101=>010100101010=>111011000000=>000000110111=>111111001000
100110110101=>011001001010=>110101010000=>000010101011=>111101010100
110101001101=>001010110010=>101110000100=>001000011101=>110111100010
101101001101=>010010110010=>101101000100=>001000101101=>110111010010
110011001101=>001100110010=>101010010100=>001010010101=>110101101010
101011001101=>010100110010=>101011000100=>001000110101=>110111001010
100111001101=>011000110010=>101001010100=>001010100101=>110101011010
110100101101=>001011010010=>101110001000=>000100011101=>111011100010
101100101101=>010011010010=>101101001000=>000100101101=>111011010010
110010101101=>001101010010=>101110010000=>000010011101=>111101100010
101010101101=>010101010010=>101111000000=>000000111101=>111111000010
100110101101=>011001010010=>101101010000=>000010101101=>111101010010
110001101101=>001110010010=>101010011000=>000110010101=>111001101010
101001101101=>010110010010=>101011001000=>000100110101=>111011001010
100101101101=>011010010010=>101011010000=>000010110101=>111101001010
100011101101=>011100010010=>101001011000=>000110100101=>111001011010
110100011101=>001011100010=>100110001100=>001100011001=>110011100110
101100011101=>010011100010=>100101001100=>001100101001=>110011010110
110010011101=>001101100010=>100110010100=>001010011001=>110101100110
101010011101=>010101100010=>100111000100=>001000111001=>110111000110
100110011101=>011001100010=>100101010100=>001010101001=>110101010110
110001011101=>001110100010=>100110011000=>000110011001=>111001100110
101001011101=>010110100010=>100111001000=>000100111001=>111011000110
100101011101=>011010100010=>100111010000=>000010111001=>111101000110
100011011101=>011100100010=>100101011000=>000110101001=>111001010110
110000111101=>001111000010=>100010011100=>001110010001=>110001101110
101000111101=>010111000010=>100011001100=>001100110001=>110011001110
100100111101=>011011000010=>100011010100=>001010110001=>110101001110
100010111101=>011101000010=>100011011000=>000110110001=>111001001110
100001111101=>011110000010=>100001011100=>001110100001=>110001011110
110101010011=>001010101100=>011110000010=>010000011110=>101111100001
101101010011=>010010101100=>011101000010=>010000101110=>101111010001
110011010011=>001100101100=>011010010010=>010010010110=>101101101001
101011010011=>010100101100=>011011000010=>010000110110=>101111001001
100111010011=>011000101100=>011001010010=>010010100110=>101101011001
110100110011=>001011001100=>010110001010=>010100011010=>101011100101
101100110011=>010011001100=>010101001010=>010100101010=>101011010101
110010110011=>001101001100=>010110010010=>010010011010=>101101100101
101010110011=>010101001100=>010111000010=>010000111010=>101111000101
100110110011=>011001001100=>010101010010=>010010101010=>101101010101
101001110011=>010110001100=>010011001010=>010100110010=>101011001101
100101110011=>011010001100=>010011010010=>010010110010=>101101001101
110101001011=>001010110100=>011110000100=>001000011110=>110111100001
101101001011=>010010110100=>011101000100=>001000101110=>110111010001
110011001011=>001100110100=>011010010100=>001010010110=>110101101001
101011001011=>010100110100=>011011000100=>001000110110=>110111001001
100111001011=>011000110100=>011001010100=>001010100110=>110101011001
110100101011=>001011010100=>011110001000=>000100011110=>111011100001
101100101011=>010011010100=>011101001000=>000100101110=>111011010001
110010101011=>001101010100=>011110010000=>000010011110=>111101100001
101010101011=>010101010100=>011111000000=>000000111110=>111111000001
100110101011=>011001010100=>011101010000=>000010101110=>111101010001
110001101011=>001110010100=>011010011000=>000110010110=>111001101001
101001101011=>010110010100=>011011001000=>000100110110=>111011001001
100101101011=>011010010100=>011011010000=>000010110110=>111101001001
100011101011=>011100010100=>011001011000=>000110100110=>111001011001
110100011011=>001011100100=>010110001100=>001100011010=>110011100101
101100011011=>010011100100=>010101001100=>001100101010=>110011010101
110010011011=>001101100100=>010110010100=>001010011010=>110101100101
101010011011=>010101100100=>010111000100=>001000111010=>110111000101
100110011011=>011001100100=>010101010100=>001010101010=>110101010101
110001011011=>001110100100=>010110011000=>000110011010=>111001100101
101001011011=>010110100100=>010111001000=>000100111010=>111011000101
100101011011=>011010100100=>010111010000=>000010111010=>111101000101
100011011011=>011100100100=>010101011000=>000110101010=>111001010101
110000111011=>001111000100=>010010011100=>001110010010=>110001101101
101000111011=>010111000100=>010011001100=>001100110010=>110011001101
100100111011=>011011000100=>010011010100=>001010110010=>110101001101
100010111011=>011101000100=>010011011000=>000110110010=>111001001101
100001111011=>011110000100=>010001011100=>001110100010=>110001011101
110011000111=>001100111000=>001010010110=>011010010100=>100101101011
101011000111=>010100111000=>001011000110=>011000110100=>100111001011
110100100111=>001011011000=>001110001010=>010100011100=>101011100011
101100100111=>010011011000=>001101001010=>010100101100=>101011010011
110010100111=>001101011000=>001110010010=>010010011100=>101101100011
101010100111=>010101011000=>001111000010=>010000111100=>101111000011
100110100111=>011001011000=>001101010010=>010010101100=>101101010011
101001100111=>010110011000=>001011001010=>010100110100=>101011001011
100101100111=>011010011000=>001011010010=>010010110100=>101101001011
100011100111=>011100011000=>001001011010=>010110100100=>101001011011
110100010111=>001011101000=>001110001100=>001100011100=>110011100011
101100010111=>010011101000=>001101001100=>001100101100=>110011010011
110010010111=>001101101000=>001110010100=>001010011100=>110101100011
101010010111=>010101101000=>001111000100=>001000111100=>110111000011
100110010111=>011001101000=>001101010100=>001010101100=>110101010011
110001010111=>001110101000=>001110011000=>000110011100=>111001100011
101001010111=>010110101000=>001111001000=>000100111100=>111011000011
100101010111=>011010101000=>001111010000=>000010111100=>111101000011
100011010111=>011100101000=>001101011000=>000110101100=>111001010011
110000110111=>001111001000=>001010011100=>001110010100=>110001101011
101000110111=>010111001000=>001011001100=>001100110100=>110011001011
100100110111=>011011001000=>001011010100=>001010110100=>110101001011
100010110111=>011101001000=>001011011000=>000110110100=>111001001011
100001110111=>011110001000=>001001011100=>001110100100=>110001011011
100001101111=>011110010000=>000101011100=>001110101000=>110001010111
0011111111=>1100000000=>0000000110=>0110000000=>1001111111
0000010111=>1111101000=>0011111100=>0011111100=>1100000011
00111111111=>11000000000=>00000000110=>01100000000=>10011111111
010010111100=>101101000011=>000111010011=>110010111000=>001101000111
0011111001=>1100000110=>1000011010=>0101100001=>1010011110
0000100111=>1111011000=>0011111010=>0101111100=>1010000011
0110100111=>1001011000=>0011010010=>0100101100=>1011010011
0110101101=>1001010010=>1011010000=>0000101101=>1111010010
0110110011=>1001001100=>0101010010=>0100101010=>1011010101
0100111011=>1011000100=>0100110100=>0010110010=>1101001101
0101010111=>1010101000=>0011110000=>0000111100=>1111000011
0001010101=>1110101010=>1111110000=>0000111111=>1111000000
0000110101=>1111001010=>1101111000=>0001111011=>1110000100
0011110101=>1100001010=>1100011000=>0001100011=>1110011100
0110011011=>1001100100=>0101010100=>0010101010=>1101010101
101100100110=>010011011001=>011010010101=>101010010110=>010101101001
111000100110=>000111011001=>011000110101=>101011000110=>010100111001
0110101011=>1001010100=>0111010000=>0000101110=>1111010001
11110010000=>00001101111=>10000101111=>11110100001=>00001011110
100101101111=>011010010000=>000101101000=>000101101000=>111010010111
100101111011=>011010000100=>010001101000=>000101100010=>111010011101
0101110011=>1010001100=>0100110010=>0100110010=>1011001101
0110010111=>1001101000=>0011010100=>0010101100=>1101010011
0100110111=>1011001000=>0010110100=>0010110100=>1101001011
0101100111=>1010011000=>0010110010=>0100110100=>1011001011
0101001111=>1010110000=>0001110010=>0100111000=>1011000111
0110110101=>1001001010=>1101010000=>0000101011=>1111010100
0101011011=>1010100100=>0101110000=>0000111010=>1111000101
0111010011=>1000101100=>0110010010=>0100100110=>1011011001
0111000111=>1000111000=>0010010110=>0110100100=>1001011011
111011010110=>000100101001=>011010000001=>100000010110=>011111101001
111001011110=>000110100001=>000110001001=>100100011000=>011011100111
011011011110=>100100100001=>000101010001=>100010101000=>011101010111
010100010000=>101011101111=>111001101111=>111101100111=>000010011000
111110010110=>000001101001=>011000001001=>100100000110=>011011111001
111001110110=>000110001001=>010010001001=>100100010010=>011011101101
110000101100=>001111010011=>011001110011=>110011100110=>001100011001
110000110010=>001111001101=>101001110101=>101011100101=>010100011010
110000011010=>001111100101=>101001111001=>100111100101=>011000011010
111000001010=>000111110101=>110001111001=>100111100011=>011000011100
00100000000=>11011111111=>11011111111=>11111111011=>00000000100
11000000000=>00111111111=>00111111111=>11111111100=>00000000011
11111111100=>00000000011=>00000000011=>11000000000=>00111111111
0011010001=>1100101110=>1101100110=>0110011011=>1001100100
0001000111=>1110111000=>0011110110=>0110111100=>1001000011
0001010011=>1110101100=>0111110010=>0100111110=>1011000001
0000101011=>1111010100=>0111111000=>0001111110=>1110000001
0110011101=>1001100010=>1001010100=>0010101001=>1101010110
0111001101=>1000110010=>1010010100=>0010100101=>1101011010
100010111000=>011101000111=>001101100111=>111001101100=>000110010011
0100111101=>1011000010=>1000110100=>0010110001=>1101001110
100010101100=>011101010011=>011101100011=>110001101110=>001110010001
100011001010=>011100110101=>110101101001=>100101101011=>011010010100
100011100010=>011100011101=>100101101101=>101101101001=>010010010110
Map
complement
Description
Send a binary word to the word obtained by interchanging the two letters.
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
reverse
Description
Return the reversal of a binary word.
searching the database
Sorry, this map was not found in the database.