Identifier
Images
=>
0=>0
1=>1
00=>00
01=>10
10=>01
11=>11
000=>000
001=>010
010=>100
011=>110
100=>001
101=>011
110=>101
111=>111
0000=>0000
0001=>0010
0010=>0100
0011=>0110
0100=>1000
0101=>1010
0110=>1100
0111=>1110
1000=>0001
1001=>0011
1010=>0101
1011=>0111
1100=>1001
1101=>1011
1110=>1101
1111=>1111
00000=>00000
00001=>00010
00010=>00100
00011=>00110
00100=>01000
00101=>01010
00110=>01100
00111=>01110
01000=>10000
01001=>10010
01010=>10100
01011=>10110
01100=>11000
01101=>11010
01110=>11100
01111=>11110
10000=>00001
10001=>00011
10010=>00101
10011=>00111
10100=>01001
10101=>01011
10110=>01101
10111=>01111
11000=>10001
11001=>10011
11010=>10101
11011=>10111
11100=>11001
11101=>11011
11110=>11101
11111=>11111
000000=>000000
000001=>000010
000010=>000100
000011=>000110
000100=>001000
000101=>001010
000110=>001100
000111=>001110
001000=>010000
001001=>010010
001010=>010100
001011=>010110
001100=>011000
001101=>011010
001110=>011100
001111=>011110
010000=>100000
010001=>100010
010010=>100100
010011=>100110
010100=>101000
010101=>101010
010110=>101100
010111=>101110
011000=>110000
011001=>110010
011010=>110100
011011=>110110
011100=>111000
011101=>111010
011110=>111100
011111=>111110
100000=>000001
100001=>000011
100010=>000101
100011=>000111
100100=>001001
100101=>001011
100110=>001101
100111=>001111
101000=>010001
101001=>010011
101010=>010101
101011=>010111
101100=>011001
101101=>011011
101110=>011101
101111=>011111
110000=>100001
110001=>100011
110010=>100101
110011=>100111
110100=>101001
110101=>101011
110110=>101101
110111=>101111
111000=>110001
111001=>110011
111010=>110101
111011=>110111
111100=>111001
111101=>111011
111110=>111101
111111=>111111
0000000=>0000000
0000001=>0000010
0000010=>0000100
0000011=>0000110
0000100=>0001000
0000101=>0001010
0000110=>0001100
0000111=>0001110
0001000=>0010000
0001001=>0010010
0001010=>0010100
0001011=>0010110
0001100=>0011000
0001101=>0011010
0001110=>0011100
0001111=>0011110
0010000=>0100000
0010001=>0100010
0010010=>0100100
0010011=>0100110
0010100=>0101000
0010101=>0101010
0010110=>0101100
0010111=>0101110
0011000=>0110000
0011001=>0110010
0011010=>0110100
0011011=>0110110
0011100=>0111000
0011101=>0111010
0011110=>0111100
0011111=>0111110
0100000=>1000000
0100001=>1000010
0100010=>1000100
0100011=>1000110
0100100=>1001000
0100101=>1001010
0100110=>1001100
0100111=>1001110
0101000=>1010000
0101001=>1010010
0101010=>1010100
0101011=>1010110
0101100=>1011000
0101101=>1011010
0101110=>1011100
0101111=>1011110
0110000=>1100000
0110001=>1100010
0110010=>1100100
0110011=>1100110
0110100=>1101000
0110101=>1101010
0110110=>1101100
0110111=>1101110
0111000=>1110000
0111001=>1110010
0111010=>1110100
0111011=>1110110
0111100=>1111000
0111101=>1111010
0111110=>1111100
0111111=>1111110
1000000=>0000001
1000001=>0000011
1000010=>0000101
1000011=>0000111
1000100=>0001001
1000101=>0001011
1000110=>0001101
1000111=>0001111
1001000=>0010001
1001001=>0010011
1001010=>0010101
1001011=>0010111
1001100=>0011001
1001101=>0011011
1001110=>0011101
1001111=>0011111
1010000=>0100001
1010001=>0100011
1010010=>0100101
1010011=>0100111
1010100=>0101001
1010101=>0101011
1010110=>0101101
1010111=>0101111
1011000=>0110001
1011001=>0110011
1011010=>0110101
1011011=>0110111
1011100=>0111001
1011101=>0111011
1011110=>0111101
1011111=>0111111
1100000=>1000001
1100001=>1000011
1100010=>1000101
1100011=>1000111
1100100=>1001001
1100101=>1001011
1100110=>1001101
1100111=>1001111
1101000=>1010001
1101001=>1010011
1101010=>1010101
1101011=>1010111
1101100=>1011001
1101101=>1011011
1101110=>1011101
1101111=>1011111
1110000=>1100001
1110001=>1100011
1110010=>1100101
1110011=>1100111
1110100=>1101001
1110101=>1101011
1110110=>1101101
1110111=>1101111
1111000=>1110001
1111001=>1110011
1111010=>1110101
1111011=>1110111
1111100=>1111001
1111101=>1111011
1111110=>1111101
1111111=>1111111
00000000=>00000000
00000001=>00000010
00000010=>00000100
00000011=>00000110
00000100=>00001000
00000101=>00001010
00000110=>00001100
00000111=>00001110
00001000=>00010000
00001001=>00010010
00001010=>00010100
00001011=>00010110
00001100=>00011000
00001101=>00011010
00001110=>00011100
00001111=>00011110
00010000=>00100000
00010001=>00100010
00010010=>00100100
00010011=>00100110
00010100=>00101000
00010101=>00101010
00010110=>00101100
00010111=>00101110
00011000=>00110000
00011001=>00110010
00011010=>00110100
00011011=>00110110
00011100=>00111000
00011101=>00111010
00011110=>00111100
00011111=>00111110
00100000=>01000000
00100001=>01000010
00100010=>01000100
00100011=>01000110
00100100=>01001000
00100101=>01001010
00100110=>01001100
00100111=>01001110
00101000=>01010000
00101001=>01010010
00101010=>01010100
00101011=>01010110
00101100=>01011000
00101101=>01011010
00101110=>01011100
00101111=>01011110
00110000=>01100000
00110001=>01100010
00110010=>01100100
00110011=>01100110
00110100=>01101000
00110101=>01101010
00110110=>01101100
00110111=>01101110
00111000=>01110000
00111001=>01110010
00111010=>01110100
00111011=>01110110
00111100=>01111000
00111101=>01111010
00111110=>01111100
00111111=>01111110
01000000=>10000000
01000001=>10000010
01000010=>10000100
01000011=>10000110
01000100=>10001000
01000101=>10001010
01000110=>10001100
01000111=>10001110
01001000=>10010000
01001001=>10010010
01001010=>10010100
01001011=>10010110
01001100=>10011000
01001101=>10011010
01001110=>10011100
01001111=>10011110
01010000=>10100000
01010001=>10100010
01010010=>10100100
01010011=>10100110
01010100=>10101000
01010101=>10101010
01010110=>10101100
01010111=>10101110
01011000=>10110000
01011001=>10110010
01011010=>10110100
01011011=>10110110
01011100=>10111000
01011101=>10111010
01011110=>10111100
01011111=>10111110
01100000=>11000000
01100001=>11000010
01100010=>11000100
01100011=>11000110
01100100=>11001000
01100101=>11001010
01100110=>11001100
01100111=>11001110
01101000=>11010000
01101001=>11010010
01101010=>11010100
01101011=>11010110
01101100=>11011000
01101101=>11011010
01101110=>11011100
01101111=>11011110
01110000=>11100000
01110001=>11100010
01110010=>11100100
01110011=>11100110
01110100=>11101000
01110101=>11101010
01110110=>11101100
01110111=>11101110
01111000=>11110000
01111001=>11110010
01111010=>11110100
01111011=>11110110
01111100=>11111000
01111101=>11111010
01111110=>11111100
01111111=>11111110
10000000=>00000001
10000001=>00000011
10000010=>00000101
10000011=>00000111
10000100=>00001001
10000101=>00001011
10000110=>00001101
10000111=>00001111
10001000=>00010001
10001001=>00010011
10001010=>00010101
10001011=>00010111
10001100=>00011001
10001101=>00011011
10001110=>00011101
10001111=>00011111
10010000=>00100001
10010001=>00100011
10010010=>00100101
10010011=>00100111
10010100=>00101001
10010101=>00101011
10010110=>00101101
10010111=>00101111
10011000=>00110001
10011001=>00110011
10011010=>00110101
10011011=>00110111
10011100=>00111001
10011101=>00111011
10011110=>00111101
10011111=>00111111
10100000=>01000001
10100001=>01000011
10100010=>01000101
10100011=>01000111
10100100=>01001001
10100101=>01001011
10100110=>01001101
10100111=>01001111
10101000=>01010001
10101001=>01010011
10101010=>01010101
10101011=>01010111
10101100=>01011001
10101101=>01011011
10101110=>01011101
10101111=>01011111
10110000=>01100001
10110001=>01100011
10110010=>01100101
10110011=>01100111
10110100=>01101001
10110101=>01101011
10110110=>01101101
10110111=>01101111
10111000=>01110001
10111001=>01110011
10111010=>01110101
10111011=>01110111
10111100=>01111001
10111101=>01111011
10111110=>01111101
10111111=>01111111
11000000=>10000001
11000001=>10000011
11000010=>10000101
11000011=>10000111
11000100=>10001001
11000101=>10001011
11000110=>10001101
11000111=>10001111
11001000=>10010001
11001001=>10010011
11001010=>10010101
11001011=>10010111
11001100=>10011001
11001101=>10011011
11001110=>10011101
11001111=>10011111
11010000=>10100001
11010001=>10100011
11010010=>10100101
11010011=>10100111
11010100=>10101001
11010101=>10101011
11010110=>10101101
11010111=>10101111
11011000=>10110001
11011001=>10110011
11011010=>10110101
11011011=>10110111
11011100=>10111001
11011101=>10111011
11011110=>10111101
11011111=>10111111
11100000=>11000001
11100001=>11000011
11100010=>11000101
11100011=>11000111
11100100=>11001001
11100101=>11001011
11100110=>11001101
11100111=>11001111
11101000=>11010001
11101001=>11010011
11101010=>11010101
11101011=>11010111
11101100=>11011001
11101101=>11011011
11101110=>11011101
11101111=>11011111
11110000=>11100001
11110001=>11100011
11110010=>11100101
11110011=>11100111
11110100=>11101001
11110101=>11101011
11110110=>11101101
11110111=>11101111
11111000=>11110001
11111001=>11110011
11111010=>11110101
11111011=>11110111
11111100=>11111001
11111101=>11111011
11111110=>11111101
11111111=>11111111
000000000=>000000000
000000001=>000000010
000000010=>000000100
000000011=>000000110
000000100=>000001000
000000101=>000001010
000000110=>000001100
000000111=>000001110
000001000=>000010000
000001001=>000010010
000001010=>000010100
000001011=>000010110
000001100=>000011000
000001101=>000011010
000001110=>000011100
000001111=>000011110
000010000=>000100000
000010001=>000100010
000010010=>000100100
000010011=>000100110
000010100=>000101000
000010101=>000101010
000010110=>000101100
000010111=>000101110
000011000=>000110000
000011001=>000110010
000011010=>000110100
000011011=>000110110
000011100=>000111000
000011101=>000111010
000011110=>000111100
000011111=>000111110
000100000=>001000000
000100001=>001000010
000100010=>001000100
000100011=>001000110
000100100=>001001000
000100101=>001001010
000100110=>001001100
000100111=>001001110
000101000=>001010000
000101001=>001010010
000101010=>001010100
000101011=>001010110
000101100=>001011000
000101101=>001011010
000101110=>001011100
000101111=>001011110
000110000=>001100000
000110001=>001100010
000110010=>001100100
000110011=>001100110
000110100=>001101000
000110101=>001101010
000110110=>001101100
000110111=>001101110
000111000=>001110000
000111001=>001110010
000111010=>001110100
000111011=>001110110
000111100=>001111000
000111101=>001111010
000111110=>001111100
000111111=>001111110
001000000=>010000000
001000001=>010000010
001000010=>010000100
001000011=>010000110
001000100=>010001000
001000101=>010001010
001000110=>010001100
001000111=>010001110
001001000=>010010000
001001001=>010010010
001001010=>010010100
001001011=>010010110
001001100=>010011000
001001101=>010011010
001001110=>010011100
001001111=>010011110
001010000=>010100000
001010001=>010100010
001010010=>010100100
001010011=>010100110
001010100=>010101000
001010101=>010101010
001010110=>010101100
001010111=>010101110
001011000=>010110000
001011001=>010110010
001011010=>010110100
001011011=>010110110
001011100=>010111000
001011101=>010111010
001011110=>010111100
001011111=>010111110
001100000=>011000000
001100001=>011000010
001100010=>011000100
001100011=>011000110
001100100=>011001000
001100101=>011001010
001100110=>011001100
001100111=>011001110
001101000=>011010000
001101001=>011010010
001101010=>011010100
001101011=>011010110
001101100=>011011000
001101101=>011011010
001101110=>011011100
001101111=>011011110
001110000=>011100000
001110001=>011100010
001110010=>011100100
001110011=>011100110
001110100=>011101000
001110101=>011101010
001110110=>011101100
001110111=>011101110
001111000=>011110000
001111001=>011110010
001111010=>011110100
001111011=>011110110
001111100=>011111000
001111101=>011111010
001111110=>011111100
001111111=>011111110
010000000=>100000000
010000001=>100000010
010000010=>100000100
010000011=>100000110
010000100=>100001000
010000101=>100001010
010000110=>100001100
010000111=>100001110
010001000=>100010000
010001001=>100010010
010001010=>100010100
010001011=>100010110
010001100=>100011000
010001101=>100011010
010001110=>100011100
010001111=>100011110
010010000=>100100000
010010001=>100100010
010010010=>100100100
010010011=>100100110
010010100=>100101000
010010101=>100101010
010010110=>100101100
010010111=>100101110
010011000=>100110000
010011001=>100110010
010011010=>100110100
010011011=>100110110
010011100=>100111000
010011101=>100111010
010011110=>100111100
010011111=>100111110
010100000=>101000000
010100001=>101000010
010100010=>101000100
010100011=>101000110
010100100=>101001000
010100101=>101001010
010100110=>101001100
010100111=>101001110
010101000=>101010000
010101001=>101010010
010101010=>101010100
010101011=>101010110
010101100=>101011000
010101101=>101011010
010101110=>101011100
010101111=>101011110
010110000=>101100000
010110001=>101100010
010110010=>101100100
010110011=>101100110
010110100=>101101000
010110101=>101101010
010110110=>101101100
010110111=>101101110
010111000=>101110000
010111001=>101110010
010111010=>101110100
010111011=>101110110
010111100=>101111000
010111101=>101111010
010111110=>101111100
010111111=>101111110
011000000=>110000000
011000001=>110000010
011000010=>110000100
011000011=>110000110
011000100=>110001000
011000101=>110001010
011000110=>110001100
011000111=>110001110
011001000=>110010000
011001001=>110010010
011001010=>110010100
011001011=>110010110
011001100=>110011000
011001101=>110011010
011001110=>110011100
011001111=>110011110
011010000=>110100000
011010001=>110100010
011010010=>110100100
011010011=>110100110
011010100=>110101000
011010101=>110101010
011010110=>110101100
011010111=>110101110
011011000=>110110000
011011001=>110110010
011011010=>110110100
011011011=>110110110
011011100=>110111000
011011101=>110111010
011011110=>110111100
011011111=>110111110
011100000=>111000000
011100001=>111000010
011100010=>111000100
011100011=>111000110
011100100=>111001000
011100101=>111001010
011100110=>111001100
011100111=>111001110
011101000=>111010000
011101001=>111010010
011101010=>111010100
011101011=>111010110
011101100=>111011000
011101101=>111011010
011101110=>111011100
011101111=>111011110
011110000=>111100000
011110001=>111100010
011110010=>111100100
011110011=>111100110
011110100=>111101000
011110101=>111101010
011110110=>111101100
011110111=>111101110
011111000=>111110000
011111001=>111110010
011111010=>111110100
011111011=>111110110
011111100=>111111000
011111101=>111111010
011111110=>111111100
011111111=>111111110
100000000=>000000001
100000001=>000000011
100000010=>000000101
100000011=>000000111
100000100=>000001001
100000101=>000001011
100000110=>000001101
100000111=>000001111
100001000=>000010001
100001001=>000010011
100001010=>000010101
100001011=>000010111
100001100=>000011001
100001101=>000011011
100001110=>000011101
100001111=>000011111
100010000=>000100001
100010001=>000100011
100010010=>000100101
100010011=>000100111
100010100=>000101001
100010101=>000101011
100010110=>000101101
100010111=>000101111
100011000=>000110001
100011001=>000110011
100011010=>000110101
100011011=>000110111
100011100=>000111001
100011101=>000111011
100011110=>000111101
100011111=>000111111
100100000=>001000001
100100001=>001000011
100100010=>001000101
100100011=>001000111
100100100=>001001001
100100101=>001001011
100100110=>001001101
100100111=>001001111
100101000=>001010001
100101001=>001010011
100101010=>001010101
100101011=>001010111
100101100=>001011001
100101101=>001011011
100101110=>001011101
100101111=>001011111
100110000=>001100001
100110001=>001100011
100110010=>001100101
100110011=>001100111
100110100=>001101001
100110101=>001101011
100110110=>001101101
100110111=>001101111
100111000=>001110001
100111001=>001110011
100111010=>001110101
100111011=>001110111
100111100=>001111001
100111101=>001111011
100111110=>001111101
100111111=>001111111
101000000=>010000001
101000001=>010000011
101000010=>010000101
101000011=>010000111
101000100=>010001001
101000101=>010001011
101000110=>010001101
101000111=>010001111
101001000=>010010001
101001001=>010010011
101001010=>010010101
101001011=>010010111
101001100=>010011001
101001101=>010011011
101001110=>010011101
101001111=>010011111
101010000=>010100001
101010001=>010100011
101010010=>010100101
101010011=>010100111
101010100=>010101001
101010101=>010101011
101010110=>010101101
101010111=>010101111
101011000=>010110001
101011001=>010110011
101011010=>010110101
101011011=>010110111
101011100=>010111001
101011101=>010111011
101011110=>010111101
101011111=>010111111
101100000=>011000001
101100001=>011000011
101100010=>011000101
101100011=>011000111
101100100=>011001001
101100101=>011001011
101100110=>011001101
101100111=>011001111
101101000=>011010001
101101001=>011010011
101101010=>011010101
101101011=>011010111
101101100=>011011001
101101101=>011011011
101101110=>011011101
101101111=>011011111
101110000=>011100001
101110001=>011100011
101110010=>011100101
101110011=>011100111
101110100=>011101001
101110101=>011101011
101110110=>011101101
101110111=>011101111
101111000=>011110001
101111001=>011110011
101111010=>011110101
101111011=>011110111
101111100=>011111001
101111101=>011111011
101111110=>011111101
101111111=>011111111
110000000=>100000001
110000001=>100000011
110000010=>100000101
110000011=>100000111
110000100=>100001001
110000101=>100001011
110000110=>100001101
110000111=>100001111
110001000=>100010001
110001001=>100010011
110001010=>100010101
110001011=>100010111
110001100=>100011001
110001101=>100011011
110001110=>100011101
110001111=>100011111
110010000=>100100001
110010001=>100100011
110010010=>100100101
110010011=>100100111
110010100=>100101001
110010101=>100101011
110010110=>100101101
110010111=>100101111
110011000=>100110001
110011001=>100110011
110011010=>100110101
110011011=>100110111
110011100=>100111001
110011101=>100111011
110011110=>100111101
110011111=>100111111
110100000=>101000001
110100001=>101000011
110100010=>101000101
110100011=>101000111
110100100=>101001001
110100101=>101001011
110100110=>101001101
110100111=>101001111
110101000=>101010001
110101001=>101010011
110101010=>101010101
110101011=>101010111
110101100=>101011001
110101101=>101011011
110101110=>101011101
110101111=>101011111
110110000=>101100001
110110001=>101100011
110110010=>101100101
110110011=>101100111
110110100=>101101001
110110101=>101101011
110110110=>101101101
110110111=>101101111
110111000=>101110001
110111001=>101110011
110111010=>101110101
110111011=>101110111
110111100=>101111001
110111101=>101111011
110111110=>101111101
110111111=>101111111
111000000=>110000001
111000001=>110000011
111000010=>110000101
111000011=>110000111
111000100=>110001001
111000101=>110001011
111000110=>110001101
111000111=>110001111
111001000=>110010001
111001001=>110010011
111001010=>110010101
111001011=>110010111
111001100=>110011001
111001101=>110011011
111001110=>110011101
111001111=>110011111
111010000=>110100001
111010001=>110100011
111010010=>110100101
111010011=>110100111
111010100=>110101001
111010101=>110101011
111010110=>110101101
111010111=>110101111
111011000=>110110001
111011001=>110110011
111011010=>110110101
111011011=>110110111
111011100=>110111001
111011101=>110111011
111011110=>110111101
111011111=>110111111
111100000=>111000001
111100001=>111000011
111100010=>111000101
111100011=>111000111
111100100=>111001001
111100101=>111001011
111100110=>111001101
111100111=>111001111
111101000=>111010001
111101001=>111010011
111101010=>111010101
111101011=>111010111
111101100=>111011001
111101101=>111011011
111101110=>111011101
111101111=>111011111
111110000=>111100001
111110001=>111100011
111110010=>111100101
111110011=>111100111
111110100=>111101001
111110101=>111101011
111110110=>111101101
111110111=>111101111
111111000=>111110001
111111001=>111110011
111111010=>111110101
111111011=>111110111
111111100=>111111001
111111101=>111111011
111111110=>111111101
111111111=>111111111
1010101010=>0101010101
1010101100=>0101011001
1010110010=>0101100101
1010110100=>0101101001
1010111000=>0101110001
1011001010=>0110010101
1011001100=>0110011001
1011010010=>0110100101
1011010100=>0110101001
1011011000=>0110110001
1011100010=>0111000101
1011100100=>0111001001
1011101000=>0111010001
1011110000=>0111100001
1100101010=>1001010101
1100101100=>1001011001
1100110010=>1001100101
1100110100=>1001101001
1100111000=>1001110001
1101001010=>1010010101
1101001100=>1010011001
1101010010=>1010100101
1101010100=>1010101001
1101011000=>1010110001
1101100010=>1011000101
1101100100=>1011001001
1101101000=>1011010001
1101110000=>1011100001
1110001010=>1100010101
1110001100=>1100011001
1110010010=>1100100101
1110010100=>1100101001
1110011000=>1100110001
1110100010=>1101000101
1110100100=>1101001001
1110101000=>1101010001
1110110000=>1101100001
1111000010=>1110000101
1111000100=>1110001001
1111001000=>1110010001
1111010000=>1110100001
1111100000=>1111000001
1111111111=>1111111111
1111111110=>1111111101
1111111101=>1111111011
1111111100=>1111111001
1111111011=>1111110111
1111111010=>1111110101
1111111001=>1111110011
1111110110=>1111101101
1111110101=>1111101011
1111110011=>1111100111
1111110010=>1111100101
1111110001=>1111100011
1111110000=>1111100001
1111101110=>1111011101
1111101101=>1111011011
1111101011=>1111010111
1111101010=>1111010101
1111101001=>1111010011
1111101000=>1111010001
1111100111=>1111001111
1111100100=>1111001001
1111100011=>1111000111
1111100010=>1111000101
1111100001=>1111000011
1111011110=>1110111101
1111011101=>1110111011
1111011011=>1110110111
1111011000=>1110110001
1111010111=>1110101111
1111010101=>1110101011
1111010100=>1110101001
1111010011=>1110100111
1111010010=>1110100101
1111010001=>1110100011
1111001111=>1110011111
1111001100=>1110011001
1111001011=>1110010111
1111001010=>1110010101
1111001001=>1110010011
1111000111=>1110001111
1111000110=>1110001101
1111000101=>1110001011
1111000011=>1110000111
1111000001=>1110000011
1111000000=>1110000001
1110111111=>1101111111
1110111110=>1101111101
1110111101=>1101111011
1110111011=>1101110111
1110111000=>1101110001
1110110111=>1101101111
1110110101=>1101101011
1110110100=>1101101001
1110110010=>1101100101
1110110001=>1101100011
1110101111=>1101011111
1110101101=>1101011011
1110101100=>1101011001
1110101011=>1101010111
1110101010=>1101010101
1110101001=>1101010011
1110100110=>1101001101
1110100101=>1101001011
1110100001=>1101000011
1110100000=>1101000001
1110011111=>1100111111
1110011110=>1100111101
1110011100=>1100111001
1110011010=>1100110101
1110011001=>1100110011
1110010110=>1100101101
1110010101=>1100101011
1110010011=>1100100111
1110010001=>1100100011
1110010000=>1100100001
1110001101=>1100011011
1110001001=>1100010011
1110001000=>1100010001
1110000111=>1100001111
1110000101=>1100001011
1110000100=>1100001001
1110000011=>1100000111
1110000010=>1100000101
1110000001=>1100000011
1101111111=>1011111111
1101111110=>1011111101
1101111101=>1011111011
1101111011=>1011110111
1101111001=>1011110011
1101111000=>1011110001
1101110111=>1011101111
1101110100=>1011101001
1101110010=>1011100101
1101110001=>1011100011
1101101111=>1011011111
1101101110=>1011011101
1101101100=>1011011001
1101101011=>1011010111
1101101010=>1011010101
1101101001=>1011010011
1101100110=>1011001101
1101100101=>1011001011
1101100011=>1011000111
1101100001=>1011000011
1101100000=>1011000001
1101011111=>1010111111
1101011110=>1010111101
1101011100=>1010111001
1101011011=>1010110111
1101011010=>1010110101
1101011001=>1010110011
1101010111=>1010101111
1101010110=>1010101101
1101010101=>1010101011
1101010011=>1010100111
1101010001=>1010100011
1101010000=>1010100001
1101001110=>1010011101
1101001101=>1010011011
1101001011=>1010010111
1101001001=>1010010011
1101001000=>1010010001
1101000111=>1010001111
1101000101=>1010001011
1101000100=>1010001001
1101000011=>1010000111
1101000010=>1010000101
1101000001=>1010000011
1100111111=>1001111111
1100111110=>1001111101
1100111101=>1001111011
1100111100=>1001111001
1100111010=>1001110101
1100111001=>1001110011
1100110110=>1001101101
1100110101=>1001101011
1100110011=>1001100111
1100110001=>1001100011
1100110000=>1001100001
1100101111=>1001011111
1100101110=>1001011101
1100101101=>1001011011
1100101011=>1001010111
1100101001=>1001010011
1100101000=>1001010001
1100100111=>1001001111
1100100110=>1001001101
1100100101=>1001001011
1100100100=>1001001001
1100100011=>1001000111
1100100001=>1001000011
1100011111=>1000111111
1100011110=>1000111101
1100011101=>1000111011
1100011100=>1000111001
1100011011=>1000110111
1100011010=>1000110101
1100011001=>1000110011
1100011000=>1000110001
1100010111=>1000101111
1100010110=>1000101101
1100010101=>1000101011
1100010100=>1000101001
1100010011=>1000100111
1100010010=>1000100101
1100010001=>1000100011
1100010000=>1000100001
1100001111=>1000011111
1100001110=>1000011101
1100001101=>1000011011
1100001100=>1000011001
1100001011=>1000010111
1100001010=>1000010101
1100001001=>1000010011
1100001000=>1000010001
1100000111=>1000001111
1100000110=>1000001101
1100000101=>1000001011
1100000100=>1000001001
1100000011=>1000000111
1100000010=>1000000101
1100000001=>1000000011
1100000000=>1000000001
1011111111=>0111111111
1011111110=>0111111101
1011111101=>0111111011
1011111100=>0111111001
1011111011=>0111110111
1011111010=>0111110101
1011111000=>0111110001
1011110111=>0111101111
1011110100=>0111101001
1011110010=>0111100101
1011110001=>0111100011
1011101111=>0111011111
1011101110=>0111011101
1011101100=>0111011001
1011101011=>0111010111
1011101010=>0111010101
1011100110=>0111001101
1011100101=>0111001011
1011100011=>0111000111
1011100001=>0111000011
1011100000=>0111000001
1011011111=>0110111111
1011011100=>0110111001
1011011001=>0110110011
1011010111=>0110101111
1011010110=>0110101101
1011010101=>0110101011
1011010011=>0110100111
1011010001=>0110100011
1011010000=>0110100001
1011001101=>0110011011
1011001011=>0110010111
1011001001=>0110010011
1011001000=>0110010001
1011000111=>0110001111
1011000101=>0110001011
1011000100=>0110001001
1011000011=>0110000111
1011000001=>0110000011
1011000000=>0110000001
1010111111=>0101111111
1010111110=>0101111101
1010111101=>0101111011
1010111100=>0101111001
1010111011=>0101110111
1010111010=>0101110101
1010110111=>0101101111
1010110110=>0101101101
1010110101=>0101101011
1010110011=>0101100111
1010110001=>0101100011
1010110000=>0101100001
1010101111=>0101011111
1010101110=>0101011101
1010101101=>0101011011
1010101011=>0101010111
1010101001=>0101010011
1010101000=>0101010001
1010100111=>0101001111
1010100110=>0101001101
1010100101=>0101001011
1010100100=>0101001001
1010100011=>0101000111
1010100000=>0101000001
1010011111=>0100111111
1010011101=>0100111011
1010011100=>0100111001
1010011011=>0100110111
1010011010=>0100110101
1010011001=>0100110011
1010011000=>0100110001
1010010111=>0100101111
1010010110=>0100101101
1010010101=>0100101011
1010010100=>0100101001
1010010011=>0100100111
1010010001=>0100100011
1010010000=>0100100001
1010001111=>0100011111
1010001110=>0100011101
1010001101=>0100011011
1010001011=>0100010111
1010001000=>0100010001
1010000111=>0100001111
1010000101=>0100001011
1010000011=>0100000111
1010000010=>0100000101
1010000001=>0100000011
1010000000=>0100000001
1001111111=>0011111111
1001111110=>0011111101
1001111101=>0011111011
1001111100=>0011111001
1001111010=>0011110101
1001111001=>0011110011
1001111000=>0011110001
1001110110=>0011101101
1001110101=>0011101011
1001110100=>0011101001
1001110011=>0011100111
1001110001=>0011100011
1001110000=>0011100001
1001101110=>0011011101
1001101101=>0011011011
1001101100=>0011011001
1001101011=>0011010111
1001101010=>0011010101
1001101001=>0011010011
1001101000=>0011010001
1001100111=>0011001111
1001100110=>0011001101
1001100101=>0011001011
1001100100=>0011001001
1001100011=>0011000111
1001100001=>0011000011
1001011111=>0010111111
1001011110=>0010111101
1001011101=>0010111011
1001011100=>0010111001
1001011011=>0010110111
1001011010=>0010110101
1001011001=>0010110011
1001011000=>0010110001
1001010111=>0010101111
1001010110=>0010101101
1001010101=>0010101011
1001010100=>0010101001
1001010011=>0010100111
1001001111=>0010011111
1001001110=>0010011101
1001001101=>0010011011
1001001100=>0010011001
1001001011=>0010010111
1001001010=>0010010101
1001001001=>0010010011
1001001000=>0010010001
1001000111=>0010001111
1001000000=>0010000001
1000111111=>0001111111
1000111110=>0001111101
1000111101=>0001111011
1000111100=>0001111001
1000111011=>0001110111
1000111010=>0001110101
1000111001=>0001110011
1000111000=>0001110001
1000110111=>0001101111
1000110110=>0001101101
1000110101=>0001101011
1000110100=>0001101001
1000110011=>0001100111
1000110001=>0001100011
1000101111=>0001011111
1000101110=>0001011101
1000101101=>0001011011
1000101100=>0001011001
1000101011=>0001010111
1000101010=>0001010101
1000100111=>0001001111
1000100110=>0001001101
1000100101=>0001001011
1000100100=>0001001001
1000100011=>0001000111
1000100010=>0001000101
1000011111=>0000111111
1000011110=>0000111101
1000011101=>0000111011
1000011100=>0000111001
1000011011=>0000110111
1000011001=>0000110011
1000010111=>0000101111
1000010110=>0000101101
1000010101=>0000101011
1000010011=>0000100111
1000010010=>0000100101
1000010001=>0000100011
1000010000=>0000100001
1000001111=>0000011111
1000001110=>0000011101
1000001101=>0000011011
1000001011=>0000010111
1000001010=>0000010101
1000001001=>0000010011
1000001000=>0000010001
1000000111=>0000001111
1000000110=>0000001101
1000000101=>0000001011
1000000100=>0000001001
1000000011=>0000000111
1000000010=>0000000101
1000000001=>0000000011
1000000000=>0000000001
0000111110=>0001111100
0001111010=>0011110100
0001111100=>0011111000
0001110110=>0011101100
0011110010=>0111100100
0011110100=>0111101000
0010111010=>0101110100
0010111100=>0101111000
0011111000=>0111110000
0001101110=>0011011100
0011101010=>0111010100
0011101100=>0111011000
0011100110=>0111001100
0111100010=>1111000100
0111100100=>1111001000
0100111010=>1001110100
0100111100=>1001111000
0111101000=>1111010000
0010110110=>0101101100
0110110010=>1101100100
0110110100=>1101101000
0101101010=>1011010100
0101101100=>1011011000
0110111000=>1101110000
0101110010=>1011100100
0101110100=>1011101000
0101111000=>1011110000
0111110000=>1111100000
0101010101=>1010101010
0000011111=>0000111110
0100001111=>1000011110
0000110111=>0001101110
0000101111=>0001011110
0101000111=>1010001110
0000111011=>0001110110
0100011011=>1000110110
0001101011=>0011010110
0001011011=>0010110110
0100010111=>1000101110
0001100111=>0011001110
0001001111=>0010011110
0001010111=>0010101110
0101010011=>1010100110
0000111101=>0001111010
0100011101=>1000111010
0001101101=>0011011010
0001011101=>0010111010
0101001101=>1010011010
0001110101=>0011101010
0100110101=>1001101010
0011010101=>0110101010
0010110101=>0101101010
0100101101=>1001011010
0011000111=>0110001110
0010001111=>0100011110
0010101101=>0101011010
0101001011=>1010010110
0001110011=>0011100110
0100110011=>1001100110
0011010011=>0110100110
0010110011=>0101100110
0100100111=>1001001110
0011001101=>0110011010
0010011101=>0100111010
0010100111=>0101001110
0100101011=>1001010110
0011001011=>0110010110
0010011011=>0100110110
0010010111=>0100101110
0010101011=>0101010110
0111100001=>1111000010
0111000101=>1110001010
0110110001=>1101100010
0111010001=>1110100010
0110010101=>1100101010
0101110001=>1011100010
0101100101=>1011001010
0101011001=>1010110010
0101101001=>1011010010
0110100101=>1101001010
0110101001=>1101010010
0110011001=>1100110010
0111001001=>1110010010
0111011000=>1110110000
0110101100=>1101011000
0111001100=>1110011000
0111010100=>1110101000
0101011100=>1010111000
0101010110=>1010101100
0101011010=>1010110100
0111000110=>1110001100
0110011100=>1100111000
0110010110=>1100101100
0110011010=>1100110100
0101100110=>1011001100
0111001010=>1110010100
0110100110=>1101001100
0111010010=>1110100100
0110101010=>1101010100
0011011100=>0110111000
0001011110=>0010111100
0011010110=>0110101100
0010101110=>0101011100
0011001110=>0110011100
0010011110=>0100111100
0100101110=>1001011100
0101001110=>1010011100
0110001110=>1100011100
0100011110=>1000111100
0011011001=>0110110010
0011011010=>0110110100
0100110110=>1001101100
0010111001=>0101110010
0001111001=>0011110010
0011110001=>0111100010
0110010011=>1100100110
0110001011=>1100010110
0110000111=>1100001110
0111000011=>1110000110
0011101001=>0111010010
0010110111=>0101101110
0010110001=>0101100010
0110110011=>1101100110
0000111111=>0001111110
0010111101=>0101111010
0110111111=>1101111110
0000111001=>0001110010
0110111001=>1101110010
0100111011=>1001110110
0011100111=>0111001110
0011100001=>0111000010
0111100011=>1111000110
0000100111=>0001001110
0010100101=>0101001010
0110100111=>1101001110
0000100001=>0001000010
0110100001=>1101000010
0100100011=>1001000110
0001101111=>0011011110
0011101101=>0111011010
0111101111=>1111011110
0000101101=>0001011010
0110101101=>1101011010
0100101111=>1001011110
0001101001=>0011010010
0111101001=>1111010010
0100101001=>1001010010
0101101011=>1011010110
0000000000=>0000000000
0110000000=>1100000000
0001100000=>0011000000
0111100000=>1111000000
0100100000=>1001000000
0000011000=>0000110000
0110011000=>1100110000
0001111000=>0011110000
0111111000=>1111110000
0100111000=>1001110000
0001001000=>0010010000
0111001000=>1110010000
0100001000=>1000010000
0101101000=>1011010000
0000000110=>0000001100
0110000110=>1100001100
0001100110=>0011001100
0111100110=>1111001100
0100100110=>1001001100
0000011110=>0000111100
0110011110=>1100111100
0001111110=>0011111100
0111111110=>1111111100
0100111110=>1001111100
0001001110=>0010011100
0111001110=>1110011100
0100001110=>1000011100
0101101110=>1011011100
0000010010=>0000100100
0110010010=>1100100100
0001110010=>0011100100
0111110010=>1111100100
0100110010=>1001100100
0001000010=>0010000100
0111000010=>1110000100
0100000010=>1000000100
0101100010=>1011000100
0001011010=>0010110100
0111011010=>1110110100
0100011010=>1000110100
0101111010=>1011110100
0101001010=>1010010100
0011100101=>0111001010
0100111001=>1001110010
0011100011=>0111000110
0101100011=>1011000110
0110100011=>1101000110
0000001100=>0000011000
0000110000=>0001100000
0000111100=>0001111000
0000100100=>0001001000
0011000000=>0110000000
0011001100=>0110011000
0011110000=>0111100000
0011111100=>0111111000
0011100100=>0111001000
0010010000=>0100100000
0010011100=>0100111000
0010000100=>0100001000
0010110100=>0101101000
0000000011=>0000000110
0000001111=>0000011110
0000001001=>0000010010
0000110011=>0001100110
0011000011=>0110000110
0011001111=>0110011110
0011001001=>0110010010
0011110011=>0111100110
0011111111=>0111111110
0011111001=>0111110010
0010010011=>0100100110
0010011111=>0100111110
0010011001=>0100110010
0010000111=>0100001110
0010000001=>0100000010
0010001101=>0100011010
0111111101=>1111111010
0111110111=>1111101110
0001111101=>0011111010
0111011111=>1110111110
0101110101=>1011101010
0001110111=>0011101110
0000011101=>0000111010
0011110101=>0111101010
0101111111=>1011111110
0101011101=>1010111010
0101010111=>1010101110
0001010101=>0010101010
0001011111=>0010111110
0100010101=>1000101010
0000010111=>0000101110
0000000101=>0000001010
0010010101=>0100101010
0111010101=>1110101010
0011010111=>0110101110
0000110101=>0001101010
0011011101=>0110111010
0011011011=>0110110110
0000011011=>0000110110
0001100011=>0011000110
0001111011=>0011110110
0001001011=>0010010110
0110001111=>1100011110
0110000011=>1100000110
0110011011=>1100110110
0111111011=>1111110110
0111001011=>1110010110
0100001011=>1000010110
0000000010=>0000000100
0100000100=>1000001000
0000000001=>0000000010
0100000001=>1000000010
0110000001=>1100000010
0111000001=>1110000010
0111110001=>1111100010
0111111001=>1111110010
0111111111=>1111111110
0101000001=>1010000010
0111110101=>1111101010
0000001101=>0000011010
0011111101=>0111111010
0000010101=>0000101010
0101111101=>1011111010
0100000000=>1000000000
0100000011=>1000000110
0100000111=>1000001110
0100011111=>1000111110
0100111111=>1001111110
0100000101=>1000001010
0101011111=>1010111110
0010001100=>0100011000
0111100111=>1111001110
0001000011=>0010000110
0010000010=>0100000100
0001000001=>0010000010
0001100001=>0011000010
0011110111=>0111101110
0000000100=>0000001000
0111001111=>1110011110
0110001001=>1100010010
0110000100=>1100001000
0001010001=>0010100010
0000110001=>0001100010
0000010001=>0000100010
0010101010=>0101010100
0010101000=>0101010000
0010101100=>0101011000
0010100100=>0101001000
0010010100=>0100101000
0011010100=>0110101000
0001010100=>0010101000
0101010100=>1010101000
0010100000=>0101000000
0000010100=>0000101000
0111111010=>1111110100
0011111010=>0111110100
0000111010=>0001110100
0000011010=>0000110100
0000001010=>0000010100
0000101010=>0001010100
0110101000=>1101010000
0100101000=>1001010000
0101001000=>1010010000
0101011000=>1010110000
0101010000=>1010100000
0000101000=>0001010000
0101000000=>1010000000
0000010011=>0000100110
0010000000=>0100000000
0001101010=>0011010100
0001001010=>0010010100
0001010010=>0010100100
0001010110=>0010101100
0001010000=>0010100000
0100101010=>1001010100
0111111100=>1111111000
0011111110=>0111111100
0000000111=>0000001110
0000001011=>0000010110
0100011001=>1000110010
0001011001=>0010110010
0010111110=>0101111100
0011100010=>0111000100
0011000110=>0110001100
0010001110=>0100011100
0101000011=>1010000110
0111101011=>1111010110
0011000001=>0110000010
0011010001=>0110100010
0010010001=>0100100010
0110011111=>1100111110
0110000101=>1100001010
0110001101=>1100011010
0110110111=>1101101110
0010001000=>0100010000
0010110010=>0101100100
0001100101=>0011001010
0100110001=>1001100010
0101001100=>1010011000
0100010110=>1000101100
0011000101=>0110001010
0001000101=>0010001010
0110100010=>1101000100
0110001100=>1100011000
0100110100=>1001101000
0000001000=>0000010000
0000100011=>0001000110
0101010001=>1010100010
0010011010=>0100110100
0101011011=>1010110110
0010000101=>0100001010
0000100010=>0001000100
0011010010=>0110100100
0101100100=>1011001000
0000110110=>0001101100
0110111110=>1101111100
0001110100=>0011101000
0101110000=>1011100000
0101111100=>1011111000
0101111110=>1011111100
0111000000=>1110000000
0110100000=>1101000000
0111000100=>1110001000
0100010000=>1000100000
0111110100=>1111101000
0011101000=>0111010000
0011011111=>0110111110
0001000111=>0010001110
0101000110=>1010001100
0000011001=>0000110010
0000101011=>0001010110
0000100101=>0001001010
0100011100=>1000111000
0000101100=>0001011000
0000011100=>0000111000
0001000100=>0010001000
0110100100=>1101001000
0010111111=>0101111110
0101001001=>1010010010
0111101101=>1111011010
0111010000=>1110100000
0110110000=>1101100000
0001001001=>0010010010
0001111111=>0011111110
0100010010=>1000100100
0100100101=>1001001010
0010010010=>0100100100
0100100100=>1001001000
0001011100=>0010111000
0110010100=>1100101000
0010010110=>0100101100
0110010001=>1100100010
0101010010=>1010100100
0010111000=>0101110000
0001110001=>0011100010
0010101001=>0101010010
0001101100=>0011011000
0101000101=>1010001010
0100101100=>1001011000
0110101011=>1101010110
0000101110=>0001011100
0010100110=>0101001100
0110001010=>1100010100
0011011000=>0110110000
0011001010=>0110010100
0101100001=>1011000010
0110111101=>1101111010
0000001110=>0000011100
0000010110=>0000101100
0101111011=>1011110110
10000000000=>00000000001
10000000010=>00000000101
10000000110=>00000001101
10000001110=>00000011101
10000011110=>00000111101
10000111110=>00001111101
10001111110=>00011111101
10011111110=>00111111101
10111111110=>01111111101
11111111110=>11111111101
10000000100=>00000001001
10000001010=>00000010101
10000010110=>00000101101
10000101110=>00001011101
10001011110=>00010111101
10010111110=>00101111101
10101111110=>01011111101
11011111110=>10111111101
11001111110=>10011111101
11101111110=>11011111101
10000010000=>00000100001
10000100010=>00001000101
11000111110=>10001111101
10101011110=>01010111101
11010111110=>10101111101
10111011110=>01110111101
11110111110=>11101111101
10000100000=>00001000001
10001000010=>00010000101
10000100100=>00001001001
10001001010=>00010010101
11000011110=>10000111101
11001011110=>10010111101
10101101110=>01011011101
11100111110=>11001111101
11011011110=>10110111101
10111101110=>01111011101
11111011110=>11110111101
10001000000=>00010000001
10010000010=>00100000101
10001000100=>00010001001
10000101000=>00001010001
10010001010=>00100010101
10001010010=>00010100101
11000001110=>10000011101
11000101110=>10001011101
11010011110=>10100111101
10110101110=>01101011101
10101110110=>01011101101
11101011110=>11010111101
11011101110=>10111011101
10111110110=>01111101101
11111101110=>11111011101
10010000100=>00100001001
10001001000=>00010010001
11000000110=>10000001101
10100001010=>01000010101
10010010010=>00100100101
10001010100=>00010101001
11000010110=>10000101101
10010101010=>00101010101
11001001110=>10010011101
10101010110=>01010101101
11010101110=>10101011101
10110110110=>01101101101
10101111010=>01011110101
11110011110=>11100111101
11101101110=>11011011101
11011110110=>10111101101
10111111010=>01111110101
11111110110=>11111101101
10100000000=>01000000001
11000000010=>10000000101
10100000100=>01000001001
10010001000=>00100010001
10001010000=>00010100001
11000001010=>10000010101
10100010010=>01000100101
10010100010=>00101000101
10010010100=>00100101001
11000100110=>10001001101
10100101010=>01001010101
11010001110=>10100011101
10101011010=>01010110101
11010110110=>10101101101
10111010110=>01110101101
10110111010=>01101110101
11110101110=>11101011101
11101110110=>11011101101
10111111100=>01111111001
11111111010=>11111110101
00001000001=>00010000010
11010101010=>10101010101
11010101100=>10101011001
11010110010=>10101100101
11010110100=>10101101001
11010111000=>10101110001
11011001010=>10110010101
11011001100=>10110011001
11011010010=>10110100101
11011010100=>10110101001
11011011000=>10110110001
11011100010=>10111000101
11011100100=>10111001001
11011101000=>10111010001
11011110000=>10111100001
11100101010=>11001010101
11100101100=>11001011001
11100110010=>11001100101
11100110100=>11001101001
11100111000=>11001110001
11101001010=>11010010101
11101001100=>11010011001
11101010010=>11010100101
11101010100=>11010101001
11101011000=>11010110001
11101100010=>11011000101
11101100100=>11011001001
11101101000=>11011010001
11101110000=>11011100001
11110001010=>11100010101
11110001100=>11100011001
11110010010=>11100100101
11110010100=>11100101001
11110011000=>11100110001
11110100010=>11101000101
11110100100=>11101001001
11110101000=>11101010001
11110110000=>11101100001
11111000010=>11110000101
11111000100=>11110001001
11111001000=>11110010001
11111010000=>11110100001
11111100000=>11111000001
00000000010=>00000000100
00000000001=>00000000010
01000000001=>10000000010
01100000001=>11000000010
01110000001=>11100000010
01111000001=>11110000010
01111100001=>11111000010
01111110001=>11111100010
01111111001=>11111110010
01111111101=>11111111010
01111111111=>11111111110
00000000101=>00000001010
00000001101=>00000011010
00000011101=>00000111010
00000111101=>00001111010
00001111101=>00011111010
00011111101=>00111111010
00111111101=>01111111010
11111111101=>11111111011
01000000000=>10000000000
01000000011=>10000000110
01000000111=>10000001110
01000001111=>10000011110
01000011111=>10000111110
01000111111=>10001111110
01001111111=>10011111110
01011111111=>10111111110
11010101000=>10101010001
11010100100=>10101001001
11010010100=>10100101001
11001010100=>10010101001
10101010100=>01010101001
11000000000=>10000000001
10000000001=>00000000011
00010100001=>00101000010
00100100001=>01001000010
00010010001=>00100100010
01000001000=>10000010000
01000100001=>10001000010
00101010001=>01010100010
00010000010=>00100000100
00010001001=>00100010010
10100001000=>01000010001
10000100001=>00001000011
01000010100=>10000101000
01001010001=>10010100010
00100000100=>01000001000
00100010001=>01000100010
00101000010=>01010000100
00101001001=>01010010010
00010000101=>00100001010
10100010100=>01000101001
10010100100=>00101001001
10001010001=>00010100011
01000100100=>10001001000
01000010010=>10000100100
01010000100=>10100001000
01010010001=>10100100010
01001000010=>10010000100
01001001001=>10010010010
00100001010=>01000010100
00100100010=>01001000100
00100101001=>01001010010
00101000101=>01010001010
11100000001=>11000000011
11010000001=>10100000011
11001000001=>10010000011
11000100001=>10001000011
11000010001=>10000100011
11000001001=>10000010011
11000000101=>10000001011
11000000011=>10000000111
11000000100=>10000001001
11000010010=>10000100101
11000001000=>10000010001
01000000100=>10000001000
01111111011=>11111110110
01111110101=>11111101010
01111101001=>11111010010
01111010001=>11110100010
01110100001=>11101000010
01101000001=>11010000010
01010000001=>10100000010
00100000001=>01000000010
10111111101=>01111111011
01011111101=>10111111010
00101111101=>01011111010
00010111101=>00101111010
00001011101=>00010111010
00000101101=>00001011010
00000010101=>00000101010
00000001001=>00000010010
00000000100=>00000001000
01101111111=>11011111110
01010111111=>10101111110
01001011111=>10010111110
01000101111=>10001011110
01000010111=>10000101110
01000001011=>10000010110
01000000101=>10000001010
01000000010=>10000000100
11111010100=>11110101001
11000010100=>10000101001
11011110100=>10111101001
11010000100=>10100001001
11010111100=>10101111001
11010100000=>10101000001
01010101000=>10101010000
11111110010=>11111100101
11111100010=>11111000101
11110000010=>11100000101
11100000010=>11000000101
10111111111=>01111111111
10111111000=>01111110001
10111110000=>01111100001
10111100000=>01111000001
10111000000=>01110000001
10110000000=>01100000001
00101010101=>01010101010
00101010111=>01010101110
00101010011=>01010100110
00101011011=>01010110110
00101001011=>01010010110
00101101011=>01011010110
00100101011=>01001010110
00110101011=>01101010110
00010101011=>00101010110
01010101011=>10101010110
10011111101=>00111111011
10001111101=>00011111011
10000111101=>00001111011
10000011101=>00000111011
10000001101=>00000011011
10000000101=>00000001011
11111111011=>11111110111
01111111010=>11111110100
00111111010=>01111110100
00011111010=>00111110100
00001111010=>00011110100
00000111010=>00001110100
00000011010=>00000110100
00000001010=>00000010100
10101010111=>01010101111
01101010111=>11010101110
01001010111=>10010101110
01011010111=>10110101110
01010010111=>10100101110
01010110111=>10101101110
01010100111=>10101001110
01010101111=>10101011110
10011111111=>00111111111
00100111111=>01001111110
00010011111=>00100111110
00001001111=>00010011110
00000100111=>00001001110
00000010011=>00000100110
10101111111=>01011111111
10100111111=>01001111111
10100011111=>01000111111
10100001111=>01000011111
10100000111=>01000001111
10100000011=>01000000111
10100000001=>01000000011
00100000000=>01000000000
00001010101=>00010101010
00011010101=>00110101010
00010010101=>00100101010
00010110101=>00101101010
00010100101=>00101001010
00010101101=>00101011010
00010101001=>00101010010
00010101010=>00101010100
01111100000=>11111000000
01111110000=>11111100000
01110110000=>11101100000
01111101000=>11111010000
01101110000=>11011100000
01111100100=>11111001000
01011110000=>10111100000
01111100010=>11111000100
00111110000=>01111100000
01010101001=>10101010010
11010101001=>10101010011
10010101001=>00101010011
10110101001=>01101010011
10100101001=>01001010011
10101101001=>01011010011
10101001001=>01010010011
10101011001=>01010110011
10101010001=>01010100011
10101010101=>01010101011
01010101010=>10101010100
01110101010=>11101010100
01100101010=>11001010100
01101101010=>11011010100
01101001010=>11010010100
01101011010=>11010110100
01101010010=>11010100100
01101010110=>11010101100
01101010100=>11010101000
01101010101=>11010101010
10110101010=>01101010101
10101101010=>01011010101
10101010010=>01010100101
10101001010=>01010010101
11110001110=>11100011101
11000101010=>10001010101
11111111100=>11111111001
01001001010=>10010010100
01001010010=>10010100100
01010001010=>10100010100
01010010010=>10100100100
00100010010=>01000100100
10100100010=>01001000101
10100100100=>01001001001
00100101010=>01001010100
01010100010=>10101000100
01000101010=>10001010100
01000100010=>10001000100
10101000100=>01010001001
00101010010=>01010100100
00101001010=>01010010100
01001000100=>10010001000
00100010101=>01000101010
01001000101=>10010001010
10001000101=>00010001011
01000010001=>10000100010
10100010001=>01000100011
00101010100=>01010101000
00101000100=>01010001000
00100100100=>01001001000
01010100100=>10101001000
10010010001=>00100100011
00010010100=>00100101000
00100010100=>01000101000
00010010010=>00100100100
00010001010=>00100010100
00100001001=>01000010010
10010001001=>00100010011
01001010101=>10010101010
01010010100=>10100101000
01000100101=>10001001010
01010010101=>10100101010
01010001000=>10100010000
01001010100=>10010101000
01000101001=>10001010010
01010100101=>10101001010
01001001000=>10010010000
01010001001=>10100010010
01000101000=>10001010000
00101001000=>01010010000
10010100101=>00101001011
10010010101=>00100101011
10100100101=>01001001011
00001000010=>00010000100
00010100010=>00101000100
00010000100=>00100001000
00001000100=>00010001000
00010100100=>00101001000
00100100101=>01001001010
10001001001=>00010010011
00001001000=>00010010000
00001010000=>00010100000
00010001000=>00100010000
00100101000=>01001010000
00010101000=>00101010000
00100010000=>01000100000
00000100000=>00001000000
00010010000=>00100100000
01000010000=>10000100000
00100001000=>01000010000
00000000110=>00000001100
00000000011=>00000000110
01111111110=>11111111100
00111111111=>01111111110
01100000000=>11000000000
11010101011=>10101010111
00000000000=>00000000000
01111101111=>11111011110
01111010111=>11110101110
01111011011=>11110110110
01110110111=>11101101110
11101111101=>11011111011
01111011101=>11110111010
01110101011=>11101010110
10111110111=>01111101111
01101110111=>11011101110
11101111010=>11011110101
01111011110=>11110111100
11010111101=>10101111011
01110101101=>11101011010
11011111011=>10111110111
01110111011=>11101110110
10111101011=>01111010111
01101101011=>11011010110
01011110111=>10111101110
11010111010=>10101110101
11011010110=>10110101101
01110101110=>11101011100
11011011101=>10110111011
10110111101=>01101111011
11011110101=>10111101011
01110110101=>11101101010
10111101101=>01111011011
01101101101=>11011011010
10101111011=>01011110111
10111011011=>01110110111
01101011011=>11010110110
01011101011=>10111010110
00000100010=>00001000100
01000100000=>10001000000
00000010010=>00000100100
00100000010=>01000000100
00000001000=>00000010000
00010000000=>00100000000
01001000000=>10010000000
01010000000=>10100000000
00001010010=>00010100100
00000100100=>00001001000
00100100000=>01001000000
01001010000=>10010100000
00011000001=>00110000010
00110001000=>01100010000
00101000001=>01010000010
01001000001=>10010000010
00111000001=>01110000010
01110010000=>11100100000
10001000001=>00010000011
01011000001=>10110000010
00110100001=>01101000010
10001100000=>00011000001
10110010000=>01100100001
01100010000=>11000100000
01101010000=>11010100000
00100011000=>01000110000
10011000001=>00110000011
01010100001=>10101000010
00101100001=>01011000010
00110010001=>01100100010
10010100000=>00101000001
11000100000=>10001000001
11010010000=>10100100001
10100010000=>01000100001
10101010000=>01010100001
01000110000=>10001100000
01010010000=>10100100000
01011010000=>10110100000
01100110000=>11001100000
00000100001=>00001000010
00001010001=>00010100010
00001001001=>00010010010
00001000101=>00010001010
00001000011=>00010000110
00010100011=>00101000110
10010010000=>00100100001
10010101000=>00101010001
10100101000=>01001010001
11000010000=>10000100001
10101001000=>01010010001
11000101000=>10001010001
11010000010=>10100000101
01000111011=>10001110110
01110001011=>11100010110
01000100011=>10001000110
00010001011=>00100010110
11010001000=>10100010001
11000100010=>10001000101
01111100011=>11111000110
00011111011=>00111110110
11010001011=>10100010111
11011111000=>10111110001
00010111110=>00101111100
01110000011=>11100000110
00011100011=>00111000110
00000111011=>00001110110
01110001000=>11100010000
00011101000=>00111010000
01110100000=>11101000000
11011100000=>10111000001
00010111000=>00101110000
11000111000=>10001110001
00000101110=>00001011100
00010001110=>00100011100
11110111101=>11101111011
10111101111=>01111011111
11111011101=>11110111011
10111011111=>01110111111
11111101101=>11111011011
11101011101=>11010111011
11011111101=>10111111011
11111110111=>11111101111
10111111011=>01111110111
10111010111=>01110101111
11101111111=>11011111111
10110111111=>01101111111
11111110101=>11111101011
11101101101=>11011011011
11101110111=>11011101111
11111011111=>11110111111
10110110111=>01101101111
11101110101=>11011101011
11110101101=>11101011011
11011101101=>10111011011
10111011101=>01110111011
11110110111=>11101101111
11011110111=>10111101111
11111011011=>11110110111
11101111011=>11011110111
10110111011=>01101110111
11011011111=>10110111111
11101101111=>11011011111
10110101111=>01101011111
10101110111=>01011101111
10101111101=>01011111011
10101011111=>01010111111
01101111101=>11011111010
10001111111=>00011111111
11101011111=>11010111111
10011011111=>00110111111
10111110101=>01111101011
01110111101=>11101111010
01111110111=>11111101110
11111001111=>11110011111
10011101111=>00111011111
11100111111=>11001111111
10010111111=>00101111111
01111011111=>11110111110
11111111001=>11111110011
11111010101=>11110101011
11111011001=>11110110011
11111110001=>11111100011
11111010111=>11110101111
11111101001=>11111010011
11110111001=>11101110011
11111100111=>11111001111
11110011111=>11100111111
11100010000=>11000100001
11100100000=>11001000001
11101000000=>11010000001
11110000000=>11100000001
10111000001=>01110000011
10111111001=>01111110011
10101000001=>01010000011
10110100001=>01101000011
10111101001=>01111010011
10011000000=>00110000001
10010111101=>00101111011
00111111100=>01111111000
00101111110=>01011111100
00011111110=>00111111100
10010101111=>00101011111
10110101011=>01101010111
01110100011=>11101000110
01101011111=>11010111110
01110111111=>11101111110
11000001111=>10000011111
11111000001=>11110000011
10100101111=>01001011111
11101010101=>11010101011
11101010111=>11010101111
11101011011=>11010110111
11101101011=>11011010111
11110101011=>11101010111
11111101011=>11111010111
00010000011=>00100000110
10100111101=>01001111011
11111101010=>11111010101
10101000000=>01010000001
10110100000=>01101000001
11000000001=>10000000011
00000101010=>00001010100
00010111010=>00101110100
01011111010=>10111110100
11000111111=>10001111111
01000111000=>10001110000
01111111000=>11111110000
10101011101=>01010111011
10101111001=>01011110011
10100001001=>01000010011
11110101001=>11101010011
11111100101=>11111001011
00000001100=>00000011000
01011000000=>10110000000
01011100000=>10111000000
01011111110=>10111111100
11011111111=>10111111111
11110101010=>11101010101
11110000011=>11100000111
11110000001=>11100000011
01011010110=>10110101100
01010110110=>10101101100
01110000010=>11100000100
11010101111=>10101011111
11010110111=>10101101111
11011010111=>10110101111
00000010100=>00000101000
11111110100=>11111101001
01010100000=>10101000000
01010110000=>10101100000
00101010000=>01010100000
10101011011=>01010110111
10101101011=>01011010111
11001000000=>10010000001
11101100000=>11011000001
11011000000=>10110000001
11001111111=>10011111111
11001010101=>10010101011
11010111111=>10101111111
11110100101=>11101001011
11110110101=>11101101011
11110010101=>11100101011
00001111110=>00011111100
00001011110=>00010111100
00000111111=>00001111110
00001111100=>00011111000
01000111110=>10001111100
00000111110=>00001111100
00000011111=>00000111110
11111000000=>11110000001
00011111000=>00111110000
01011100001=>10111000010
01101100001=>11011000010
01010010011=>10100100110
01001010011=>10010100110
11111111111=>11111111111
11111100011=>11111000111
00111111110=>01111111100
00111000000=>01110000000
11111111000=>11111110001
00001000111=>00010001110
00001001010=>00010010100
00001001011=>00010010110
00010010011=>00100100110
11001001000=>10010010001
00000001111=>00000011110
00000000111=>00000001110
00000010110=>00000101100
10100100000=>01001000001
11011011010=>10110110101
11110111000=>11101110001
11110111010=>11101110101
11110111011=>11101110111
01011011011=>10110110110
00011101111=>00111011110
10101101111=>01011011111
01011101111=>10111011110
11011101111=>10111011111
01100100000=>11001000000
00010100000=>00101000000
10100100001=>01001000011
01110001111=>11100011110
01011101101=>10111011010
01011101110=>10111011100
00100110000=>01001100000
00011100010=>00111000100
01110111010=>11101110100
11011101010=>10111010101
01011011010=>10110110100
10111011010=>01110110101
01101110110=>11011101100
01110110110=>11101101100
01101101110=>11011011100
01010101101=>10101011010
10110101101=>01101011011
10101101101=>01011011011
01011011101=>10110111010
01101011101=>11010111010
01010110101=>10101101010
10110110101=>01101101011
01101110101=>11011101010
10101110101=>01011101011
01011010101=>10110101010
10111010101=>01110101011
11011010101=>10110101011
11010110101=>10101101011
11010101101=>10101011011
01010111011=>10101110110
01101111011=>11011110110
11011011011=>10110110111
11010111011=>10101110111
11011101011=>10111010111
11110101111=>11101011111
01000001010=>10000010100
01010000010=>10100000100
00000101000=>00001010000
00001010100=>00010101000
00000010000=>00000100000
00101000000=>01010000000
00001000000=>00010000000
11101000001=>11010000011
11010100001=>10101000011
11011000001=>10110000011
10101100001=>01011000011
10010100001=>00101000011
01001100001=>10011000010
01100100001=>11001000010
00100110001=>01001100010
10101100000=>01011000001
10010110000=>00101100001
10011010000=>00110100001
10011100000=>00111000001
11001010000=>10010100001
11001100000=>10011000001
11110100000=>11101000001
10100110000=>01001100001
01001110000=>10011100000
01001100000=>10011000000
01101100000=>11011000000
01111000000=>11110000000
01101000000=>11010000000
00101100000=>01011000000
00110010000=>01100100000
00110100000=>01101000000
00011000000=>00110000000
01001001011=>10010010110
00100010011=>01000100110
00100100011=>01001000110
11001001010=>10010010101
11010010010=>10100100101
11001010010=>10010100101
11001000100=>10010001001
11000100100=>10001001001
00011111111=>00111111110
11110001111=>11100011111
00010001111=>00100011110
11000100011=>10001000111
00000100011=>00001000110
11011100011=>10111000111
00010111011=>00101110110
11000111011=>10001110111
00000111000=>00001110000
01110111000=>11101110000
11110001000=>11100010001
00011100000=>00111000000
01110000000=>11100000000
01011101000=>10111010000
00011101110=>00111011100
00000001110=>00000011100
01110001110=>11100011100
01111101110=>11111011100
01000101110=>10001011100
01110111110=>11101111100
01000001110=>10000011100
01110100010=>11101000100
01011100010=>10111000100
01000111010=>10001110100
11111101111=>11111011111
11110111111=>11101111111
01111010101=>11110101010
10011110101=>00111101011
01011110101=>10111101010
11100111101=>11001111011
01010111101=>10101111010
10011110111=>00111101111
10101001111=>01010011111
11101001111=>11010011111
10111001111=>01110011111
01111001111=>11110011110
11100101111=>11001011111
01110101111=>11101011110
00111101111=>01111011110
00101111111=>01011111110
01011011111=>10110111110
10111100101=>01111001011
11110011101=>11100111011
11101111001=>11011110011
11110010111=>11100101111
10111100111=>01111001111
11110100111=>11101001111
10111101010=>01111010101
11111011010=>11110110101
11111010110=>11110101101
11110111100=>11101111001
10010000101=>00100001011
10101000101=>01010001011
10100010101=>01000101011
01010101100=>10101011000
01010110100=>10101101000
01011010100=>10110101000
11010001010=>10100010101
11010100010=>10101000101
11010100101=>10101001011
11010010001=>10100100011
11010010101=>10100101011
11010001001=>10100010011
11001001001=>10010010011
11001000101=>10010001011
11001000010=>10010000101
11001010001=>10010100011
11000100101=>10001001011
11000101001=>10001010011
10101000010=>01010000101
00001111111=>00011111110
00000011100=>00000111000
00000111100=>00001111000
00000011110=>00000111100
01111111100=>11111111000
11000000111=>10000001111
11111100001=>11111000011
11000011111=>10000111111
00011111100=>00111111000
101010101010=>010101010101
101010101100=>010101011001
101010110010=>010101100101
101010110100=>010101101001
101010111000=>010101110001
101011001010=>010110010101
101011001100=>010110011001
101011010010=>010110100101
101011010100=>010110101001
101011011000=>010110110001
101011100010=>010111000101
101011100100=>010111001001
101011101000=>010111010001
101011110000=>010111100001
101100101010=>011001010101
101100101100=>011001011001
101100110010=>011001100101
101100110100=>011001101001
101100111000=>011001110001
101101001010=>011010010101
101101001100=>011010011001
101101010010=>011010100101
101101010100=>011010101001
101101011000=>011010110001
101101100010=>011011000101
101101100100=>011011001001
101101101000=>011011010001
101101110000=>011011100001
101110001010=>011100010101
101110001100=>011100011001
101110010010=>011100100101
101110010100=>011100101001
101110011000=>011100110001
101110100010=>011101000101
101110100100=>011101001001
101110101000=>011101010001
101110110000=>011101100001
101111000010=>011110000101
101111000100=>011110001001
101111001000=>011110010001
101111010000=>011110100001
101111100000=>011111000001
110010101010=>100101010101
110010101100=>100101011001
110010110010=>100101100101
110010110100=>100101101001
110010111000=>100101110001
110011001010=>100110010101
110011001100=>100110011001
110011010010=>100110100101
110011010100=>100110101001
110011011000=>100110110001
110011100010=>100111000101
110011100100=>100111001001
110011101000=>100111010001
110011110000=>100111100001
110100101010=>101001010101
110100101100=>101001011001
110100110010=>101001100101
110100110100=>101001101001
110100111000=>101001110001
110101001010=>101010010101
110101001100=>101010011001
110101010010=>101010100101
110101010100=>101010101001
110101011000=>101010110001
110101100010=>101011000101
110101100100=>101011001001
110101101000=>101011010001
110101110000=>101011100001
110110001010=>101100010101
110110001100=>101100011001
110110010010=>101100100101
110110010100=>101100101001
110110011000=>101100110001
110110100010=>101101000101
110110100100=>101101001001
110110101000=>101101010001
110110110000=>101101100001
110111000010=>101110000101
110111000100=>101110001001
110111001000=>101110010001
110111010000=>101110100001
110111100000=>101111000001
111000101010=>110001010101
111000101100=>110001011001
111000110010=>110001100101
111000110100=>110001101001
111000111000=>110001110001
111001001010=>110010010101
111001001100=>110010011001
111001010010=>110010100101
111001010100=>110010101001
111001011000=>110010110001
111001100010=>110011000101
111001100100=>110011001001
111001101000=>110011010001
111001110000=>110011100001
111010001010=>110100010101
111010001100=>110100011001
111010010010=>110100100101
111010010100=>110100101001
111010011000=>110100110001
111010100010=>110101000101
111010100100=>110101001001
111010101000=>110101010001
111010110000=>110101100001
111011000010=>110110000101
111011000100=>110110001001
111011001000=>110110010001
111011010000=>110110100001
111011100000=>110111000001
111100001010=>111000010101
111100001100=>111000011001
111100010010=>111000100101
111100010100=>111000101001
111100011000=>111000110001
111100100010=>111001000101
111100100100=>111001001001
111100101000=>111001010001
111100110000=>111001100001
111101000010=>111010000101
111101000100=>111010001001
111101001000=>111010010001
111101010000=>111010100001
111101100000=>111011000001
111110000010=>111100000101
111110000100=>111100001001
111110001000=>111100010001
111110010000=>111100100001
111110100000=>111101000001
111111000000=>111110000001
100000111110=>000001111101
100001111110=>000011111101
101111111110=>011111111101
111111111110=>111111111101
100000000100=>000000001001
100001011110=>000010111101
100101111110=>001011111101
110111111110=>101111111101
100010011110=>000100111101
100001101110=>000011011101
100011011110=>000110111101
110011111110=>100111111101
111011111110=>110111111101
100000010000=>000000100001
100001000110=>000010001101
100000011100=>000000111001
100100011110=>001000111101
100010101110=>000101011101
100001110110=>000011101101
100011101110=>000111011101
110001111110=>100011111101
101010111110=>010101111101
100111011110=>001110111101
111101111110=>111011111101
100000100000=>000001000001
101000011110=>010000111101
100100101110=>001001011101
100011001110=>000110011101
100010110110=>000101101101
100001111010=>000011110101
110000111110=>100001111101
100101101110=>001011011101
100011110110=>000111101101
111110111110=>111101111101
100001000000=>000010000001
100010001010=>000100010101
100001001100=>000010011001
100000110100=>000001101001
100001011100=>000010111001
110000011110=>100000111101
101000101110=>010001011101
100101001110=>001010011101
100100110110=>001001101101
100011010110=>000110101101
100010111010=>000101110101
100001111100=>000011111001
100101110110=>001011101101
100011111010=>000111110101
110100111110=>101001111101
110011011110=>100110111101
101101011110=>011010111101
101011101110=>010111011101
100111110110=>001111101101
111111011110=>111110111101
110000001110=>100000011101
100010011100=>000100111001
110000101110=>100001011101
101001001110=>010010011101
101000110110=>010001101101
100110001110=>001100011101
100101010110=>001010101101
100100111010=>001001110101
100011100110=>000111001101
100011011010=>000110110101
100010111100=>000101111001
101001110110=>010011101101
100111001110=>001110011101
100101111010=>001011110101
100011111100=>000111111001
111111101110=>111111011101
000011011110=>000110111100
010000011111=>100000111110
000001111101=>000011111010
111100000101=>111000001011
011111000001=>111110000010
010111110000=>101111100000
101011010111=>010110101111
111010110101=>110101101011
000111011100=>001110111000
100011111000=>000111110001
000111011010=>001110110100
001011011100=>010110111000
100011110100=>000111101001
100101111000=>001011110001
000111010110=>001110101100
001111011000=>011110110000
010011011100=>100110111000
000101101110=>001011011100
100011101100=>000111011001
100111110000=>001111100001
010001111010=>100011110100
101001111000=>010011110001
000111001110=>001110011100
001111010100=>011110101000
001011011010=>010110110100
010111011000=>101110110000
100011011100=>000110111001
001101101100=>011011011000
100111101000=>001111010001
001001110110=>010011101100
100101110100=>001011101001
010011110010=>100111100100
110001111000=>100011110001
001111001100=>011110011000
001111010010=>011110100100
010111010100=>101110101000
011011011000=>110110110000
100111011000=>001110110001
001101101010=>011011010100
010101101100=>101011011000
001011100110=>010111001100
100111100100=>001111001001
010011101010=>100111010100
011001110100=>110011101000
010101110010=>101011100100
000010111101=>000101111010
010000101111=>100001011110
000011011101=>000110111010
000100111101=>001001111010
010000110111=>100001101110
010001001111=>100010011110
000011101101=>000111011010
000101011101=>001010111010
001000111101=>010001111010
000011110011=>000111100110
010000111011=>100001110110
010001010111=>100010101110
001100001111=>011000011110
010010001111=>100100011110
000011110101=>000111101010
000101101101=>001011011010
000110011101=>001100111010
001001011101=>010010111010
010000111101=>100001111010
000101110011=>001011100110
010001011011=>100010110110
000111000111=>001110001110
010001100111=>100011001110
001100010111=>011000101110
010010010111=>100100101110
010100001111=>101000011110
000101110101=>001011101010
000110101101=>001101011010
001001101101=>010011011010
001010011101=>010100111010
010001011101=>100010111010
000110110011=>001101100110
001001110011=>010011100110
000111001011=>001110010110
010001101011=>100011010110
001100011011=>011000110110
010010011011=>100100110110
001011000111=>010110001110
001100100111=>011001001110
010010100111=>100101001110
010100010111=>101000101110
011110100001=>111101000010
111010000101=>110100001011
011101100001=>111011000010
011110010001=>111100100010
110110000101=>101100001011
111001000101=>110010001011
011011100001=>110111000010
011101010001=>111010100010
011110001001=>111100010010
100111100001=>001111000011
101110000101=>011100001011
110101000101=>101010001011
111000011001=>110000110011
111000100101=>110001001011
010111100001=>101111000010
011011010001=>110110100010
011100110001=>111001100010
011101001001=>111010010010
011110000101=>111100001010
100111010001=>001110100011
101101000101=>011010001011
110001110001=>100011100011
110011000101=>100110001011
110100011001=>101000110011
110100100101=>101001001011
111000010101=>110000101011
010111010001=>101110100010
011010110001=>110101100010
011011001001=>110110010010
011100101001=>111001010010
011101000101=>111010001010
100110110001=>001101100011
100111001001=>001110010011
101001110001=>010011100011
101011000101=>010110001011
101100011001=>011000110011
101100100101=>011001001011
110001101001=>100011010011
110010011001=>100100110011
110010100101=>100101001011
110100010101=>101000101011
010111101000=>101111010000
010111100100=>101111001000
010110111000=>101101110000
010111100010=>101111000100
011001111000=>110011110000
011110000110=>111100001100
010101111000=>101011110000
010110110100=>101101101000
010111001100=>101110011000
010111010010=>101110100100
011100011100=>111000111000
011101000110=>111010001100
010101110100=>101011101000
010110101100=>101101011000
010110110010=>101101100100
010111001010=>101110010100
011001101100=>110011011000
011001110010=>110011100100
011010011100=>110100111000
011011000110=>110110001100
011100011010=>111000110100
011100100110=>111001001100
101000010111=>010000101111
111011100101=>110111001011
111010011101=>110100111011
101110010111=>011100101111
101001110111=>010011101111
111011111101=>110111111011
111010010001=>110100100011
100110100101=>001101001011
100010010111=>000100101111
101111110111=>011111101111
101001011001=>010010110011
101001000111=>010010001111
111110100101=>111101001011
111000111101=>110001111011
111011001101=>110110011011
111011110001=>110111100011
111010010111=>110100101111
100110111101=>001101111011
100011110111=>000111101111
101101101101=>011011011011
101100110111=>011001101111
101111011001=>011110110011
101111000111=>011110001111
101001011111=>010010111111
111110111101=>111101111011
111000001101=>110000011011
111000110001=>110001100011
111011000001=>110110000011
111011110111=>110111101111
100110001101=>001100011011
100001101101=>000011011011
100000110111=>000001101111
100011011001=>000110110011
100011000111=>000110001111
101101100001=>011011000011
101100000111=>011000001111
101111011111=>011110111111
110000000110=>100000001101
110000000010=>100000000101
110000000000=>100000000001
101010001110=>010100011101
101010101000=>010101010001
101010100110=>010101001101
101000111010=>010001110101
101010011010=>010100110101
100011101010=>000111010101
100110101010=>001101010101
101001101010=>010011010101
101001010110=>010010101101
100101011010=>001010110101
101010010110=>010100101101
101001100110=>010011001101
101001011010=>010010110101
100110011010=>001100110101
100101101010=>001011010101
110101010110=>101010101101
100101010100=>001010101001
110101011010=>101010110101
101001010100=>010010101001
011111000100=>111110001000
011111000010=>111110000100
011101100100=>111011001000
011101100010=>111011000100
011011100100=>110111001000
011011010100=>110110101000
011011100010=>110111000100
011011010010=>110110100100
011111010000=>111110100000
011111001000=>111110010000
001111001010=>011110010100
011101110000=>111011100000
011111100000=>111111000000
011101101000=>111011010000
010101101010=>101011010100
001111000110=>011110001100
010011110100=>100111101000
010011101100=>100111011000
011011110000=>110111100000
011011101000=>110111010000
010011011010=>100110110100
001101100110=>011011001100
001011010101=>010110101010
001101010101=>011010101010
001011010011=>010110100110
001101010011=>011010100110
001011001011=>010110010110
001011001101=>010110011010
001101001011=>011010010110
001101001101=>011010011010
001001110101=>010011101010
001010101101=>010101011010
001100101101=>011001011010
001101000111=>011010001110
001010110101=>010101101010
001100110101=>011001101010
001001100111=>010011001110
001001101011=>010011010110
000110110101=>001101101010
001010100111=>010101001110
001010101011=>010101010110
001100101011=>011001010110
001010110011=>010101100110
001100110011=>011001100110
000111010101=>001110101010
001000110111=>010001101110
001000111011=>010001110110
001001010111=>010010101110
001001011011=>010010110110
001010010111=>010100101110
001010011011=>010100110110
001100011101=>011000111010
000111010011=>001110100110
010101001011=>101010010110
010101010011=>101010100110
010011001011=>100110010110
010011010011=>100110100110
010100011011=>101000110110
010010101011=>100101010110
010010110011=>100101100110
010100101011=>101001010110
010100110011=>101001100110
000110011011=>001100110110
010100100111=>101001001110
000110101011=>001101010110
010101000111=>101010001110
000100111011=>001001110110
000101011011=>001010110110
000101101011=>001011010110
010001110011=>100011100110
010101101001=>101011010010
010101011001=>101010110010
100101101001=>001011010011
100101011001=>001010110011
101001101001=>010011010011
011001101001=>110011010010
011001011001=>110010110010
010111001001=>101110010010
011010101001=>110101010010
011010011001=>110100110010
110001011001=>100010110011
010110101001=>101101010010
010110011001=>101100110010
110011001001=>100110010011
101011001001=>010110010011
010110110001=>101101100010
110010101001=>100101010011
101010101001=>010101010011
101010011001=>010100110011
100110101001=>001101010011
100110011001=>001100110011
010101110001=>101011100010
110110001001=>101100010011
101110001001=>011100010011
110101001001=>101010010011
101101001001=>011010010011
110100101001=>101001010011
101100101001=>011001010011
011100011001=>111000110010
100101110001=>001011100011
010101011010=>101010110100
010101010110=>101010101100
011001011010=>110010110100
011001010110=>110010101100
011010011010=>110100110100
010110011010=>101100110100
011010010110=>110100101100
010110010110=>101100101100
010110101010=>101101010100
010110100110=>101101001100
011100010110=>111000101100
010101100110=>101011001100
011100110010=>111001100100
011010110010=>110101100100
011100101010=>111001010100
011010101010=>110101010100
011010100110=>110101001100
011001101010=>110011010100
011001100110=>110011001100
010101011100=>101010111000
011101010010=>111010100100
011101001010=>111010010100
011011001010=>110110010100
010111000110=>101110001100
011001011100=>110010111000
111111100001=>111111000011
111111111001=>111111110011
100111111001=>001111110011
100001100001=>000011000011
111001100001=>110011000011
100001111001=>000011110011
111001111001=>110011110011
111110110001=>111101100011
111000000001=>110000000011
101101111001=>011011110011
111110000001=>111100000011
111110011001=>111100110011
101100110001=>011001100011
100000110001=>000001100011
111110001101=>111100011011
101100000001=>011000000011
100000000001=>000000000011
100000011001=>000000110011
100110000001=>001100000011
111111101101=>111111011011
101110010001=>011100100011
100010010001=>000100100011
101111110001=>011111100011
100011110001=>000111100011
101111000001=>011110000011
100011000001=>000110000011
111011011001=>110110110011
100111101101=>001111011011
100101101100=>001011011001
100111001100=>001110011001
001111110000=>011111100000
001011110010=>010111100100
001101110010=>011011100100
001111100010=>011111000100
100111010100=>001110101001
001101111000=>011011110000
001101110100=>011011101000
001011101010=>010111010100
001011010110=>010110101100
010100011101=>101000111010
010001110101=>100011101010
000101010111=>001010101110
000110010111=>001100101110
000110100111=>001101001110
010001101101=>100011011010
000101001111=>001010011110
000101100111=>001011001110
001001001111=>010010011110
001010001111=>010100011110
000111001101=>001110011010
010010011101=>100100111010
000011010111=>000110101110
000011011011=>000110110110
000011101011=>000111010110
010011000111=>100110001110
110001010101=>100010101011
101100010101=>011000101011
011100010101=>111000101010
100111000101=>001110001011
010111000101=>101110001010
110101010001=>101010100011
110100110001=>101001100011
110010110001=>100101100011
101010110001=>010101100011
011011000101=>110110001010
111001010001=>110010100011
110011010001=>100110100011
111001001001=>110010010011
111000101001=>110001010011
011001110001=>110011100010
011101010100=>111010101000
011101001100=>111010011000
011100101100=>111001011000
011010101100=>110101011000
011110010100=>111100101000
011100110100=>111001101000
011110010010=>111100100100
011011001100=>110110011000
011110001010=>111100010100
010110011100=>101100111000
101101111111=>011011111111
100011011111=>000110111111
111011011111=>110110111111
100110110111=>001101101111
111110110111=>111101101111
101111111101=>011111111011
101111001101=>011110011011
101100001101=>011000011011
100000001101=>000000011011
111000110111=>110001101111
101001111101=>010011111011
101100111101=>011001111011
100011001101=>000110011011
101001000001=>010010000011
111001101101=>110011011011
101001110100=>010011101001
010011001101=>100110011010
110001100101=>100011001011
011001100101=>110011001010
101101100111=>011011001111
111001100111=>110011001111
001111100100=>011111001000
000111100110=>001111001100
001111101000=>011111010000
000111101010=>001111010100
001011101100=>010111011000
000111101100=>001111011000
000111110010=>001111100100
000010111011=>000101110110
001000101111=>010001011110
100101010101=>001010101011
100101100101=>001011001011
101011010001=>010110100011
100110010101=>001100101011
101001010101=>010010101011
101011100001=>010111000011
101010100101=>010101001011
101101010001=>011010100011
101010010101=>010100101011
101001100101=>010011001011
101110100001=>011101000011
110101100001=>101011000011
011001010101=>110010101010
011010110100=>110101101000
011010010101=>110100101010
011010111000=>110101110000
011010100101=>110101001010
011101011000=>111010110000
100111111111=>001111111111
100111100111=>001111001111
100000111101=>000001111011
100110011111=>001100111111
100001111111=>000011111111
100000100101=>000001001011
100000000111=>000000001111
100011111101=>000111111011
100110000111=>001100001111
100000011111=>000000111111
100011100101=>000111001011
100001100111=>000011001111
100010011101=>000100111011
100010000101=>000100001011
101111100101=>011111001011
010100101101=>101001011010
010010110101=>100101101010
010101001101=>101010011010
010100110101=>101001101010
010011010101=>100110101010
010101010101=>101010101010
010110100101=>101101001010
010110010101=>101100101010
010101100101=>101011001010
111000011111=>110000111111
111110000111=>111100001111
111001111111=>110011111111
111110011111=>111100111111
111111100111=>111111001111
111111111111=>111111111111
010001111100=>100011111000
010011111000=>100111110000
001001111010=>010011110100
001001111100=>010011111000
001011111000=>010111110000
001000011111=>010000111110
000110001111=>001100011110
000100011111=>001000111110
000100101111=>001001011110
000001111011=>000011110110
000011100111=>000111001110
000001110111=>000011101110
000010110111=>000101101110
111100001001=>111000010011
111010001001=>110100010011
111100010001=>111000100011
011110100010=>111101000100
011110001100=>111100011000
011110100100=>111101001000
101000010001=>010000100011
101001001101=>010010011011
101011011101=>010110111011
101000011101=>010000111011
110010010101=>100100101011
011100100101=>111001001010
101100011111=>011000111111
111011000111=>110110001111
000101111100=>001011111000
000011111100=>000111111000
001011110100=>010111101000
000101111010=>001011110100
000111110100=>001111101000
000111111000=>001111110000
000010011111=>000100111110
000001011111=>000010111110
000100110111=>001001101110
000011001111=>000110011110
000010101111=>000101011110
000001101111=>000011011110
111100100001=>111001000011
111101000001=>111010000011
110110010001=>101100100011
110110100001=>101101000011
111010100001=>110101000011
011110011000=>111100110000
011110101000=>111101010000
101011110101=>010111101011
101110011101=>011100111011
101000000101=>010000001011
000011110110=>000111101100
000001111110=>000011111100
000011111010=>000111110100
000000111111=>000001111110
110111000001=>101110000011
011110110000=>111101100000
101110110101=>011101101011
101000110101=>010001101011
000011101110=>000111011100
000101110110=>001011101100
110011100001=>100111000011
011100111000=>111001110000
100010110101=>000101101011
100001000011=>000010000111
111000010000=>110000100001
100011100011=>000111000111
100010110011=>000101100111
100110100011=>001101000111
100010011011=>000100110111
100111110011=>001111100111
101100100011=>011001000111
111000100110=>110001001101
111001111100=>110011111001
101010001000=>010100010001
100010001111=>000100011111
100111011011=>001110110111
100101010011=>001010100111
101101110011=>011011100111
111000100011=>110001000111
100111001010=>001110010101
111001110110=>110011101101
100100100100=>001001001001
101010011100=>010100111001
111011011100=>110110111001
100111001111=>001110011111
100101111011=>001011110111
101101011011=>011010110111
101111010011=>011110100111
111001110011=>110011100111
111001011110=>110010111101
111011010110=>110110101101
111011110100=>110111101001
111110011100=>111100111001
010001011110=>100010111100
001001011110=>010010111100
011000110110=>110001101100
001101001110=>011010011100
001011001110=>010110011100
000101011110=>001010111100
110010011100=>100100111001
001100111010=>011001110100
111000010110=>110000101101
001001101110=>010011011100
001101011100=>011010111000
001110011010=>011100110100
110100011010=>101000110101
001101011010=>011010110100
001110101010=>011101010100
101100011010=>011000110101
010100111010=>101001110100
001111100001=>011111000010
000111110001=>001111100010
001110111000=>011101110000
000111101001=>001111010010
001011110001=>010111100010
001110110100=>011101101000
000111100101=>001111001010
000011111001=>000111110010
001101110001=>011011100010
001110110010=>011101100100
000110111100=>001101111000
000111100011=>001111000110
001011101001=>010111010010
000101111001=>001011110010
001110110001=>011101100010
000110111010=>001101110100
001010111100=>010101111000
001001111001=>010011110010
000110111001=>001101110010
000110110110=>001101101100
001010111010=>010101110100
010010111100=>100101111000
001100111100=>011001111000
011110000011=>111100000110
011100000111=>111000001110
011010000111=>110100001110
011100001011=>111000010110
110100100011=>101001000111
010110000111=>101100001110
011000001111=>110000011110
011100010011=>111000100110
110000100111=>100001001111
001110000111=>011100001110
011010001011=>110100010110
011000010111=>110000101110
011100100011=>111001000110
101000100111=>010001001111
110010010011=>100100100111
110000101011=>100001010111
011000011011=>110000110110
011000100111=>110001001110
101010001101=>010100011011
100110001011=>001100010111
100100100111=>001001001111
101010010011=>010100100111
101000101011=>010001010111
110000101101=>100001011011
110000110011=>100001100111
010011110001=>100111100010
000111011001=>001110110010
100110111000=>001101110001
001110101100=>011101011000
001111010001=>011110100010
001110011100=>011100111000
001111001001=>011110010010
010000111110=>100001111100
010100111100=>101001111000
010001110110=>100011101100
011000111100=>110001111000
010010111010=>100101110100
010001101110=>100011011100
001010111001=>010101110010
001010110110=>010101101100
010110001011=>101100010110
110110101101=>101101011011
010010001001=>100100010010
111100101101=>111001011011
110110111001=>101101110011
000110001001=>001100010010
011010001101=>110100011010
010010000011=>100100000110
100100101101=>001001011011
110000100001=>100001000011
110010111101=>100101111011
000010001101=>000100011010
011110001111=>111100011110
011000111001=>110001110010
011010000001=>110100000010
110010001101=>100100011011
000000100111=>000001001110
000110111111=>001101111110
001100100001=>011001000010
001110001101=>011100011010
000000111001=>000001110010
000010000001=>000100000010
011110110011=>111101100110
011000111111=>110001111110
110000011101=>100000111011
110010000111=>100100001111
100100011101=>001000111011
110000110101=>100001101011
101010000111=>010100001111
110010001011=>100100010111
110100001101=>101000011011
101000101101=>010001011011
110000111001=>100001110011
101010001011=>010100010111
100100101011=>001001010111
101000110011=>010001100111
011000101011=>110001010110
011000011110=>110000111100
011000101110=>110001011100
001110001110=>011100011100
011001001110=>110010011100
010110001110=>101100011100
010011100110=>100111001100
001110010110=>011100101100
101000001111=>010000011111
101000011011=>010000110111
101001001011=>010010010111
100010111001=>000101110011
101001010011=>010010100111
100110010011=>001100100111
100101100011=>001011000111
100100111001=>001001110011
000101001010=>001010010100
010100101000=>101001010000
000100011010=>001000110100
000101100010=>001011000100
010001101000=>100011010000
010110001000=>101100010000
000100000010=>001000000100
010000001000=>100000010000
000001011010=>000010110100
000111000010=>001110000100
000100110010=>001001100100
000100001110=>001000011100
000101101000=>001011010000
011001000010=>110010000100
011100001000=>111000010000
010010010010=>100100100100
010011001000=>100110010000
010000100110=>100001001100
010000111000=>100001110000
010110100000=>101101000000
000001000010=>000010000100
000100111110=>001001111100
000100001000=>001000010000
010010011110=>100100111100
010000100000=>100001000000
100011101001=>000111010011
010010111001=>100101110010
010011100101=>100111001010
001101011001=>011010110010
001110101001=>011101010010
001110100101=>011101001010
001110011001=>011100110010
111000001011=>110000010111
110100001011=>101000010111
101100001011=>011000010111
110001001011=>100010010111
001111000011=>011110000110
001110100011=>011101000110
100101001011=>001010010111
011001001011=>110010010110
100100110011=>001001100111
011000110011=>110001100110
100011010011=>000110100111
001110010011=>011100100110
010011100011=>100111000110
001101100011=>011011000110
101001010000=>010010100001
001010010100=>010100101000
101100010000=>011000100001
100011010000=>000110100001
001011000100=>010110001000
001000110100=>010001101000
001000000100=>010000001000
101101000000=>011010000001
100001110000=>000011100001
100110010000=>001100100001
001011010000=>010110100000
001000011100=>010000111000
001001100100=>010011001000
110010000100=>100100001001
001110000100=>011100001000
000010110100=>000101101000
001000010000=>010000100000
100100111100=>001001111001
000010000100=>000100001000
000110011110=>001100111100
100110011100=>001100111001
001010101110=>010101011100
100110110010=>001101100101
010010110110=>100101101100
001011100101=>010111001010
001100111001=>011001110010
001011011001=>010110110010
001100110110=>011001101100
000010100101=>000101001010
000010110001=>000101100010
001000010011=>010000100110
000010000111=>000100001110
001001001001=>010010010010
000010011001=>000100110010
000011100001=>000111000010
000000101101=>000001011010
000000100001=>000001000010
111100100111=>111001001111
111111001001=>111110010011
110111110111=>101111101111
111101111101=>111011111011
001101110111=>011011101110
101101010111=>011010101111
100101110111=>001011101111
011101110101=>111011101010
001111011101=>011110111010
111101010101=>111010101011
101111010101=>011110101011
110101011101=>101010111011
100111011101=>001110111011
110111011111=>101110111111
100001010111=>000010101111
111101110111=>111011101111
100001110101=>000011101011
111111011101=>111110111011
010110101111=>101101011110
110101101011=>101011010111
010011101111=>100111011110
011100101111=>111001011110
110100111011=>101001110111
110111001011=>101110010111
011111101111=>111111011110
110111111011=>101111110111
010010111111=>100101111110
011001101111=>110011011110
000111101111=>001111011110
110100101111=>101001011111
110111100011=>101111000111
011011011011=>110110110110
110110011011=>101100110111
001101111011=>011011110110
110001111011=>100011110111
111101001011=>111010010111
011110111111=>111101111110
110111101111=>101111011111
011011000011=>110110000110
110110000011=>101100000111
110001100011=>100011000111
110000011011=>100000110111
111101111011=>111011110111
111101011010=>111010110101
111101001110=>111010011101
111101110010=>111011100101
110111101100=>101111011001
111101111000=>111011110001
110110110110=>101101101101
111101100110=>111011001101
111100011110=>111000111101
111111010010=>111110100101
110001101100=>100011011001
110000110110=>100001101101
110011000110=>100110001101
111100000110=>111000001101
101100001111=>011000011111
100001111101=>000011111011
000000000110=>000000001100
000000000011=>000000000110
011000000011=>110000000110
011111100011=>111111000110
011111111011=>111111110110
011111111111=>111111111110
001111111111=>011111111110
001111111101=>011111111010
001111111001=>011111110010
001111110001=>011111100010
001111000001=>011110000010
001110000001=>011100000010
001100000001=>011000000010
001000000001=>010000000010
000000000001=>000000000010
011000000000=>110000000000
011000000001=>110000000010
011000000111=>110000001110
011000011111=>110000111110
011001111111=>110011111110
011011111111=>110111111110
100101010111=>001010101111
100101011011=>001010110111
100101101011=>001011010111
100110101011=>001101010111
100010101011=>000101010111
101010101011=>010101010111
101000011111=>010000111111
101011111111=>010111111111
111010101010=>110101010101
111010101100=>110101011001
111010110100=>110101101001
111011010100=>110110101001
111101010100=>111010101001
010010101101=>100101011010
111000000111=>110000001111
000010001001=>000100010010
000010001010=>000100010100
000010001011=>000100010110
000010010010=>000100100100
000010010011=>000100100110
000010010101=>000100101010
000100010010=>001000100100
000100010011=>001000100110
000100010101=>001000101010
000100100101=>001001001010
100100010000=>001000100001
010100010000=>101000100000
110100010000=>101000100001
010010010000=>100100100000
110010010000=>100100100001
101010010000=>010100100001
010010001000=>100100010000
110010001000=>100100010001
101001001000=>010010010001
000000000000=>000000000000
000001001011=>000010010110
000000010111=>000000101110
000000100101=>000001001010
000000011110=>000000111100
000000000111=>000000001110
110100100000=>101001000001
111001000000=>110010000001
111011101010=>110111010101
111101101100=>111011011001
000000010010=>000000100100
000000001001=>000000010010
000100100110=>001001001100
010101110111=>101011101110
001101101111=>011011011110
011000010010=>110000100100
011001001000=>110010010000
110010000001=>100100000011
001001110000=>010011100000
000100111000=>001001110000
000111000101=>001110001010
111010111111=>110101111111
101110111111=>011101111111
100100111111=>001001111111
111110101111=>111101011111
101010101111=>010101011111
111011101111=>110111011111
101111101111=>011111011111
100101101111=>001011011111
111001001111=>110010011111
101101001111=>011010011111
111111101011=>111111010111
101011101011=>010111010111
111010101011=>110101010111
101110101011=>011101010111
111110111011=>111101110111
101010111011=>010101110111
111011111011=>110111110111
101111111011=>011111110111
111001011011=>110010110111
111110010011=>111100100111
111011010011=>110110100111
111111111010=>111111110101
101011111010=>010111110101
111010111010=>110101110101
101110111010=>011101110101
111110101010=>111101010101
101111101010=>011111010101
111010101110=>110101011101
101110101110=>011101011101
111110010110=>111100101101
101111010110=>011110101101
101101110110=>011011101101
101100100110=>011001001101
100110100110=>001101001101
111111100100=>111111001001
111110110100=>111101101001
101111110100=>011111101001
100010010100=>000100101001
101111011100=>011110111001
100101011100=>001010111001
101101111100=>011011111001
100111111100=>001111111001
100110101100=>001101011001
100101001000=>001010010001
100010101000=>000101010001
100001011000=>000010110001
100110110100=>001101101001
000010111110=>000101111100
000110101110=>001101011100
001010011110=>010100111100
101100011100=>011000111001
110100011100=>101000111001
001100101110=>011001011100
001100011110=>011000111100
010100011110=>101000111100
111000011010=>110000110101
101000111100=>010001111001
111000011100=>110000111001
011000111010=>110001110100
001000111110=>010001111100
110000111010=>100001110101
110000111100=>100001111001
001101101001=>011011010010
011010010011=>110100100110
100000111011=>000001110111
100100011011=>001000110111
100000101111=>000001011111
100100010111=>001000101111
100100001111=>001000011111
101100010011=>011000100111
101110000011=>011100000111
110000010111=>100000101111
110000001111=>100000011111
110100010011=>101000100111
110100000111=>101000001111
111000010011=>110000100111
111010000011=>110100000111
111100000011=>111000000111
010011101001=>100111010010
001110110111=>011101101110
001010010001=>010100100010
001000110001=>010001100010
001010000101=>010100001010
001000100101=>010001001010
001110111101=>011101111010
000110100001=>001101000010
000100101001=>001001010010
011010011111=>110100111110
011010110111=>110101101110
011110100111=>111101001110
011000100001=>110001000010
011010111101=>110101111010
011000101101=>110001011010
011110111001=>111101110010
011110101101=>111101011010
010000100011=>100001000110
010010100001=>100101000010
010000101001=>100001010010
010110111011=>101101110110
010110100011=>101101000110
100110010110=>001100101101
100101100110=>001011001101
011010001110=>110100011100
010101001110=>101010011100
010100110110=>101001101100
010100101110=>101001011100
010011010110=>100110101100
010011001110=>100110011100
010010101110=>100101011100
001110100110=>011101001100
001101010110=>011010101100
101010100011=>010101000111
101001100011=>010011000111
101000111001=>010001110011
100101001101=>001010011011
100101000111=>001010001111
100100110101=>001001101011
100011010101=>000110101011
100011001011=>000110010111
100010101101=>000101011011
100010100111=>000101001111
100001110011=>000011100111
100001101011=>000011010111
100001011101=>000010111011
100001011011=>000010110111
100001001111=>000010011111
000000011000=>000000110000
000001100000=>000011000000
000001100110=>000011001100
000001111000=>000011110000
000001110010=>000011100100
000001001000=>000010010000
000001001110=>000010011100
000110000000=>001100000000
000110000110=>001100001100
000110011000=>001100110000
000110010010=>001100100100
000111100000=>001111000000
000111111110=>001111111100
000111001000=>001110010000
000100100000=>001001000000
011000000110=>110000001100
011000011000=>110000110000
011001100000=>110011000000
011001111110=>110011111100
011110000000=>111100000000
011110011110=>111100111100
011111100110=>111111001100
011111111000=>111111110000
011111111110=>111111111100
011111110010=>111111100100
011111001110=>111110011100
011111011010=>111110110100
011100100000=>111001000000
011100111110=>111001111100
011100001110=>111000011100
011100000010=>111000000100
011101101110=>111011011100
011101111010=>111011110100
010010000000=>100100000000
010010000110=>100100001100
010010011000=>100100110000
010011100000=>100111000000
010011111110=>100111111100
010011000010=>100110000100
010000110010=>100001100100
010000001110=>100000011100
010000000010=>100000000100
010000011010=>100000110100
010001100010=>100011000100
010001001010=>100010010100
010110111110=>101101111100
010110000010=>101100000100
010111101110=>101111011100
010111111010=>101111110100
010100100010=>101001000100
010100001010=>101000010100
010011011001=>100110110010
010001111001=>100011110010
001110010101=>011100101010
001111000101=>011110001010
001101100101=>011011001010
001110001011=>011100010110
011001010011=>110010100110
110001010011=>100010100111
010110010011=>101100100110
001011100011=>010111000110
010101100011=>101011000110
011001100011=>110011000110
011010100011=>110101000110
110010100011=>100101000111
010111000011=>101110000110
100111000011=>001110000111
101011000011=>010110000111
110011000011=>100110000111
011101000011=>111010000110
101101000011=>011010000111
110101000011=>101010000111
111001000011=>110010000111
001100000000=>011000000000
111100000000=>111000000001
100100000000=>001000000001
000011000000=>000110000000
110011000000=>100110000001
001111000000=>011110000000
100111000000=>001110000001
001001000000=>010010000000
000000110000=>000001100000
110000110000=>100001100001
001100110000=>011001100000
100100110000=>001001100001
000011110000=>000111100000
111111110000=>111111100001
000010010000=>000100100000
001110010000=>011100100000
000000001100=>000000011000
110000001100=>100000011001
001100001100=>011000011000
100100001100=>001000011001
000011001100=>000110011000
111111001100=>111110011001
001001001100=>010010011000
000000111100=>000001111000
111100111100=>111001111001
110011111100=>100111111001
001111111100=>011111111000
111111111100=>111111111001
000010011100=>000100111000
101001011100=>010010111001
000000100100=>000001001000
110000100100=>100001001001
001100100100=>011001001000
000011100100=>000111001000
100001100100=>000011001001
100110000100=>001100001001
111000000100=>110000001001
101100000100=>011000001001
100011000100=>000110001001
101001000100=>010010001001
101000010100=>010000101001
001100000011=>011000000110
000011000011=>000110000110
001001000011=>010010000110
000000110011=>000001100110
001111110011=>011111100110
000000001111=>000000011110
001111001111=>011110011110
001100111111=>011001111110
000011111111=>000111111110
001001111111=>010011111110
001110011111=>011100111110
001011011111=>010110111110
001111100111=>011111001110
001000000111=>010000001110
001011110111=>010111101110
001100001001=>011000010010
000011001001=>000110010010
001000011001=>010000110010
001001100001=>010011000010
001011000001=>010110000010
001111101101=>011111011010
001000001101=>010000011010
001011111101=>010111111010
010111111111=>101111111110
011101111111=>111011111110
000101111111=>001011111110
110101111111=>101011111111
011111011111=>111110111110
010101011111=>101010111110
000111011111=>001110111110
001101011111=>011010111110
111101011111=>111010111111
100101011111=>001010111111
011111110111=>111111101110
010111010111=>101110101110
011101010111=>111010101110
000111110111=>001111101110
001111010111=>011110101110
111111010111=>111110101111
110101010111=>101010101111
100111010111=>001110101111
011111111101=>111111111010
010101111101=>101011111010
010111011101=>101110111010
011101011101=>111010111010
010111110101=>101111101010
010000010101=>100000101010
011111010101=>111110101010
000111111101=>001111111010
000001010101=>000010101010
000000011101=>000000111010
000000000101=>000000001010
000000110101=>000001101010
001111110101=>011111101010
001000010101=>010000101010
001101111101=>011011111010
111111110101=>111111101011
110101110101=>101011101011
110111010101=>101110101011
100111110101=>001111101011
100000010101=>000000101011
101101110101=>011011101011
101101011101=>011010111011
100101111101=>001011111011
110111111101=>101111111011
111101101001=>111011010011
111100111001=>111001110011
110011111111=>100111111111
111100111111=>111001111111
110000111111=>100001111111
110110111111=>101101111111
111111001111=>111110011111
110011001111=>100110011111
011011001111=>110110011110
111100001111=>111000011111
110110001111=>101100011111
111101101111=>111011011111
110001101111=>100011011111
111111110011=>111111100111
110011110011=>100111100111
011011110011=>110111100110
111100110011=>111001100111
110110110011=>101101100111
111111000011=>111110000111
110000000011=>100000000111
000110000011=>001100000110
111101100011=>111011000111
000001100011=>000011000110
000100100011=>001001000110
111111011011=>111110110111
001111011011=>011110110110
110011011011=>100110110111
111100011011=>111000110111
000000011011=>000000110110
011110011011=>111100110110
011001111011=>110011110110
000111111011=>001111110110
010011111011=>100111110110
011100111011=>111001110110
011111001011=>111110010110
000100001011=>001000010110
010000001011=>100000010110
011101101011=>111011010110
010111101011=>101111010110
110110111100=>101101111001
110110000000=>101100000001
110001100000=>100011000001
111111011000=>111110110001
110000011000=>100000110001
110111111000=>101111110001
110001001000=>100010010001
110100001000=>101000010001
111111110110=>111111101101
110011110110=>100111101101
111100110110=>111001101101
111111000110=>111110001101
110110000110=>101100001101
110001100110=>100011001101
110111100110=>101111001101
110100100110=>101001001101
110110011110=>101100111101
110001001110=>100010011101
110111001110=>101110011101
110100001110=>101000011101
110101101110=>101011011101
110000010010=>100000100101
110001110010=>100011100101
110111110010=>101111100101
110001000010=>100010000101
110100000010=>101000000101
110001011010=>100010110101
110111011010=>101110110101
110101111010=>101011110101
110101010101=>101010101011
110101000100=>101010001001
110100100100=>101001001001
110100010100=>101000101001
110010100100=>100101001001
110010010100=>100100101001
110001010100=>100010101001
101010100100=>010101001001
101010010100=>010100101001
100101010010=>001010100101
100001110111=>000011101111
100100110111=>001001101111
100110110000=>001101100001
100110110101=>001101101011
100110100100=>001101001001
100110001100=>001100011001
100110010111=>001100101111
100111011100=>001110111001
100111010011=>001110100111
100111000111=>001110001111
110100011011=>101000110111
110101010000=>101010100001
110101001011=>101010010111
110101101100=>101011011001
110101101001=>101011010011
110001011011=>100010110111
110000110111=>100001101111
110010110000=>100101100001
110010110101=>100101101011
110010101011=>100101010111
110010010111=>100100101111
110011011100=>100110111001
110011010011=>100110100111
110011000111=>100110001111
111011000000=>110110000001
111011000101=>110110001011
111011010001=>110110100011
111010010000=>110100100001
111010010101=>110100101011
111010000100=>110100001001
111010101001=>110101010011
111000110000=>110001100001
111000100100=>110001001001
111001011100=>110010111001
111001011001=>110010110011
111101110000=>111011100001
111101100100=>111011001001
111101100001=>111011000011
111101001100=>111010011001
111101001001=>111010010011
111100011100=>111000111001
111100011001=>111000110011
101000101111=>010001011111
111100101010=>111001010101
101000111011=>010001110111
100100111101=>001001111011
110110110100=>101101101001
111100110100=>111001101001
111010110010=>110101100101
101011010101=>010110101011
101011011010=>010110110101
110110010110=>101100101101
111100010110=>111000101101
110110011100=>101100111001
100100011111=>001000111111
111010011010=>110100110101
101101001101=>011010011011
110011001000=>100110010001
101011001011=>010110010111
100111001101=>001110011011
110110001000=>101100010001
111100001000=>111000010001
101101000111=>011010001111
111111000100=>111110001001
101011000100=>010110001001
101110000100=>011100001001
110111001001=>101110010011
110100100111=>101001001111
110100101101=>101001011011
111110010001=>111100100011
111001110001=>110011100011
101001110101=>010011101011
101001010111=>010010101111
101001011101=>010010111011
101010100111=>010101001111
101010101101=>010101011011
100101100111=>001011001111
100101101101=>001011011011
111101010010=>111010100101
111100100101=>111001001011
110101110010=>101011100101
110111010010=>101110100101
110111100100=>101111001001
110110100101=>101101001011
110110101010=>101101010101
110010011101=>100100111011
110011101010=>100111010101
110011110100=>100111101001
110001001111=>100010011111
110001110011=>100011100111
110001111100=>100011111001
110001101000=>100011010001
110101010011=>101010100111
110101001101=>101010011011
110101000111=>101010001111
110100110101=>101001101011
110100110011=>101001100111
110100011101=>101000111011
110100101011=>101001010111
110100010111=>101000101111
110100001111=>101000011111
110011010101=>100110101011
110011001101=>100110011011
110011001011=>100110010111
110010110011=>100101100111
110001110101=>100011101011
110010101101=>100101011011
110001101101=>100011011011
110001011101=>100010111011
110000111101=>100001111011
110010100111=>100101001111
110010011011=>100100110111
110010001111=>100100011111
110001101011=>100011010111
110001100111=>100011001111
110000111011=>100001110111
110001010111=>100010101111
110000101111=>100001011111
110000011111=>100000111111
101101010101=>011010101011
101101010011=>011010100111
101101001011=>011010010111
101100110101=>011001101011
101100110011=>011001100111
101100101101=>011001011011
101100011101=>011000111011
101100101011=>011001010111
101100100111=>011001001111
101100011011=>011000110111
101100010111=>011000101111
101011010011=>010110100111
101011001101=>010110011011
101011000111=>010110001111
100111010101=>001110101011
100111001011=>001110010111
101010110101=>010101101011
101010110011=>010101100111
101001110011=>010011100111
100110110011=>001101100111
100101110101=>001011101011
100101110011=>001011100111
100011110101=>000111101011
100011110011=>000111100111
101010011101=>010100111011
101001101101=>010011011011
101000111101=>010001111011
100110101101=>001101011011
100110011101=>001100111011
100011101101=>000111011011
100101011101=>001010111011
100011011101=>000110111011
100010111101=>000101111011
101010011011=>010100110111
101010010111=>010100101111
101010001111=>010100011111
101001101011=>010011010111
101001100111=>010011001111
101001011011=>010010110111
101001001111=>010010011111
101000110111=>010001101111
100110100111=>001101001111
100110011011=>001100110111
100110001111=>001100011111
100011101011=>000111010111
100011100111=>000111001111
100100111011=>001001110111
100011011011=>000110110111
100010111011=>000101110111
100001111011=>000011110111
100101001111=>001010011111
100100101111=>001001011111
100011010111=>000110101111
100011001111=>000110011111
100010110111=>000101101111
100010101111=>000101011111
100010011111=>000100111111
100001101111=>000011011111
100001011111=>000010111111
100000111111=>000001111111
101110100000=>011101000001
010010101001=>100101010010
001010100101=>010101001010
011110000010=>111100000100
001111100000=>011111000000
010101010100=>101010101000
010101011000=>101010110000
010101100100=>101011001000
010101101000=>101011010000
010101110000=>101011100000
010110010100=>101100101000
010110011000=>101100110000
010110100100=>101101001000
010110101000=>101101010000
010110110000=>101101100000
010111000100=>101110001000
010111001000=>101110010000
010111010000=>101110100000
010111100000=>101111000000
011001010100=>110010101000
011001011000=>110010110000
011001100100=>110011001000
011001101000=>110011010000
011001110000=>110011100000
011010010100=>110100101000
011010011000=>110100110000
011010100100=>110101001000
011010101000=>110101010000
011010110000=>110101100000
011011000100=>110110001000
011011001000=>110110010000
011011010000=>110110100000
011011100000=>110111000000
011100010100=>111000101000
011100011000=>111000110000
011100100100=>111001001000
011100101000=>111001010000
011100110000=>111001100000
011101000100=>111010001000
011101001000=>111010010000
011101010000=>111010100000
011101100000=>111011000000
011110000100=>111100001000
011110001000=>111100010000
011110010000=>111100100000
011110100000=>111101000000
011111000000=>111110000000
001111010000=>011110100000
011101000010=>111010000100
001110110000=>011101100000
001111001000=>011110010000
011011000010=>110110000100
011100100010=>111001000100
001101110000=>011011100000
001110101000=>011101010000
001111000100=>011110001000
010011110000=>100111100000
010111000010=>101110000100
011010100010=>110101000100
011100001100=>111000011000
011100010010=>111000100100
001011110000=>010111100000
001101101000=>011011010000
001110011000=>011100110000
001110100100=>011101001000
001111000010=>011110000100
010011101000=>100111010000
010110100010=>101101000100
011000111000=>110001110000
011001100010=>110011000100
011010001100=>110100011000
011010010010=>110100100100
011100001010=>111000010100
001011101000=>010111010000
001101011000=>011010110000
001101100100=>011011001000
001110010100=>011100101000
001110100010=>011101000100
010011011000=>100110110000
010011100100=>100111001000
010100111000=>101001110000
010101100010=>101011000100
010110001100=>101100011000
010110010010=>101100100100
011000110100=>110001101000
011001001100=>110010011000
011001010010=>110010100100
011010001010=>110100010100
001010110100=>010101101000
001010101100=>010101011000
010010110100=>100101101000
010010101100=>100101011000
010100110100=>101001101000
001100110100=>011001101000
010100101100=>101001011000
001100101100=>011001011000
001011100100=>010111001000
001101010100=>011010101000
001101001100=>011010011000
011000101100=>110001011000
001011010100=>010110101000
001011001100=>010110011000
001011011000=>010110110000
010101001100=>101010011000
010011010100=>100110101000
010011001100=>100110011000
001010111000=>010101110000
001110001100=>011100011000
010010111000=>100101110000
011000101010=>110001010100
010110001010=>101100010100
001110001010=>011100010100
010011100010=>100111000100
001011100010=>010111000100
001101100010=>011011000100
001100111000=>011001110000
011000110010=>110001100100
001100110010=>011001100100
010010101010=>100101010100
010010110010=>100101100100
010011001010=>100110010100
010100101010=>101001010100
010101010010=>101010100100
010011010010=>100110100100
010101001010=>101010010100
010100110010=>101001100100
001101001010=>011010010100
001011010010=>010110100100
001100101010=>011001010100
001011001010=>010110010100
001010110010=>010101100100
001010101010=>010101010100
011001001010=>110010010100
001110010010=>011100100100
000001111100=>000011111000
000011111000=>000111110000
000101111000=>001011110000
000011110100=>000111101000
101011011100=>010110111001
100111011010=>001110110101
001001111000=>010011110000
000111110000=>001111100000
000011101100=>000111011000
110001111010=>100011110101
101111011000=>011110110001
100111010110=>001110101101
010001111000=>100011110000
000101110100=>001011101000
000111101000=>001111010000
000011011100=>000110111000
110011110010=>100111100101
110111011000=>101110110001
101101101100=>011011011001
101111010100=>011110101001
000111100100=>001111001000
000111011000=>001110110000
111001110100=>110011101001
111011011000=>110110110001
110111010100=>101110101001
101011100110=>010111001101
101101101010=>011011010101
101111010010=>011110100101
101111001100=>011110011001
011100000101=>111000001010
111111000001=>111110000011
011010000101=>110100001010
111110100001=>111101000011
011001000101=>110010001010
010110000101=>101100001010
011000100101=>110001001010
010101000101=>101010001010
001110000101=>011100001010
011000011001=>110000110010
111110001001=>111100010011
111101010001=>111010100011
000111100001=>001111000010
111011100001=>110111000011
011000010101=>110000101010
010100100101=>101001001010
010011000101=>100110001010
001101000101=>011010001010
111110000101=>111100001011
010100011001=>101000110010
010001110001=>100011100010
111100110001=>111001100011
000111010001=>001110100010
110111100001=>101111000011
010100010101=>101000101010
010010100101=>100101001010
001100100101=>011001001010
001011000101=>010110001010
111101000101=>111010001011
010010011001=>100100110010
001100011001=>011000110010
010001101001=>100011010010
111100101001=>111001010011
000111001001=>001110010010
111011001001=>110110010011
001001110001=>010011100010
000110110001=>001101100010
111010110001=>110101100011
110111010001=>101110100011
110111110000=>101111100001
110111101000=>101111010001
111110000110=>111100001101
110111100010=>101111000101
111001111000=>110011110001
110110111000=>101101110001
111101000110=>111010001101
110111001100=>101110011001
110101111000=>101011110001
111100100110=>111001001101
111011000110=>110110001101
111100011010=>111000110101
110111001010=>101110010101
111001110010=>110011100101
110110110010=>101101100101
111010011100=>110100111001
111001101100=>110011011001
110110101100=>101101011001
110101110100=>101011101001
001011010111=>010110101110
011010110101=>110101101010
001000010111=>010000101110
001001110111=>010011101110
001110010111=>011100101110
011010011101=>110100111010
011011100101=>110111001010
001001000111=>010010001110
001111110111=>011111101110
000010010111=>000100101110
001001011001=>010010110010
011010010001=>110100100010
011011111101=>110111111010
000110100101=>001101001010
001001011111=>010010111110
001111000111=>011110001110
001100110111=>011001101110
000011110111=>000111101110
011010010111=>110100101110
001111011001=>011110110010
011011110001=>110111100010
001101101101=>011011011010
011011001101=>110110011010
000110111101=>001101111010
011000111101=>110001111010
011110100101=>111101001010
001111011111=>011110111110
001100000111=>011000001110
000011000111=>000110001110
000000110111=>000001101110
011011110111=>110111101110
000011011001=>000110110010
001101100001=>011011000010
011011000001=>110110000010
011000110001=>110001100010
000001101101=>000011011010
000110001101=>001100011010
011000001101=>110000011010
011110111101=>111101111010
000010011110=>000100111100
100011011000=>000110110001
000110011100=>001100111000
100101011000=>001010110001
100011010100=>000110101001
001010011100=>010100111000
000110011010=>001100110100
101001011000=>010010110001
100111010000=>001110100001
100011001100=>000110011001
010001011010=>100010110100
010010011100=>100100111000
000101001110=>001010011100
000110010110=>001100101100
110001011000=>100010110001
101011010000=>010110100001
100111001000=>001110010001
001001010110=>010010101100
001010011010=>010100110100
000110001110=>001100011100
110011010000=>100110100001
101101010000=>011010100001
101011001000=>010110010001
100111000100=>001110001001
100110011000=>001100110001
001011000110=>010110001100
010000011110=>100000111100
010000101110=>100001011100
000010111100=>000101111000
010001001110=>100010011100
010000110110=>100001101100
000100111100=>001001111000
010010001110=>100100011100
010001010110=>100010101100
010000111010=>100001110100
001100001110=>011000011100
001000111100=>010001111000
000101011100=>001010111000
000011110010=>000111100100
010100001110=>101000011100
010010010110=>100100101100
010001100110=>100011001100
010000111100=>100001111000
001100010110=>011000101100
001001011100=>010010111000
000111000110=>001110001100
000101110010=>001011100100
000101101100=>001011011000
010100010110=>101000101100
010010100110=>100101001100
010010011010=>100100110100
010001101010=>100011010100
010001011100=>100010111000
001100100110=>011001001100
001100011010=>011000110100
001001110010=>010011100100
001001101100=>010011011000
000111001010=>001110010100
000110110010=>001101100100
000110101100=>001101011000
111100000100=>111000001001
111001000100=>110010001001
110110000100=>101100001001
111000011000=>110000110001
100111100000=>001111000001
111000010100=>110000101001
110011000100=>100110001001
101101000100=>011010001001
110100011000=>101000110001
110001110000=>100011100001
101100100100=>011001001001
110010011000=>100100110001
101100011000=>011000110001
101001110000=>010011100001
001110100001=>011101000010
001110010001=>011100100010
001110001001=>011100010010
001101010001=>011010100010
001011100001=>010111000010
001110000110=>011100001100
000111100010=>001111000100
000111010100=>001110101000
000110111000=>001101110000
001101001001=>011010010010
001100110001=>011001100010
001011010001=>010110100010
001101000110=>011010001100
000111010010=>001110100100
001100011100=>011000111000
000111001100=>001110011000
001001110100=>010011101000
000110110100=>001101101000
001100101001=>011001010010
001011001001=>010110010010
001010110001=>010101100010
001101010010=>011010100100
111111000010=>111110000101
111101100010=>111011000101
111011010010=>110110100101
111011100010=>110111000101
110101101010=>101011010101
110011011010=>100110110101
111011100100=>110111001001
111111001000=>111110010001
111101101000=>111011010001
111111010000=>111110100001
111111100000=>111111000001
111011101000=>110111010001
111011110000=>110111100001
110011101100=>100111011001
110011111000=>100111110001
101111000110=>011110001101
101101100110=>011011001101
101011010110=>010110101101
101111001010=>011110010101
101111100010=>011111000101
101101110010=>011011100101
101011101010=>010111010101
101011110010=>010111100101
101001111010=>010011110101
101111100100=>011111001001
101101110100=>011011101001
101111101000=>011111010001
101111110000=>011111100001
101101111000=>011011110001
101011101100=>010111011001
101011110100=>010111101001
101011111000=>010111110001
101001111100=>010011111001
100111100110=>001111001101
100111101010=>001111010101
100111110010=>001111100101
100111101100=>001111011001
100111110100=>001111101001
100111111000=>001111110001
100101111100=>001011111001
000101010101=>001010101010
111001010101=>110010101011
001001010101=>010010101010
010001010101=>100010101010
110110010101=>101100101011
000110010101=>001100101010
001010010101=>010100101010
010010010101=>100100101010
111100010101=>111000101011
001100010101=>011000101010
110101100101=>101011001011
000101100101=>001011001010
111001100101=>110011001011
001001100101=>010011001010
010001100101=>100011001010
111010100101=>110101001011
110111000101=>101110001011
110101011001=>101010110011
000101011001=>001010110010
010001011001=>100010110010
110110011001=>101100110011
000110011001=>001100110010
111010011001=>110100110011
001010011001=>010100110010
000101101001=>001011010010
111001101001=>110011010011
001001101001=>010011010010
110110101001=>101101010011
000110101001=>001101010010
001010101001=>010101010010
010100101001=>101001010010
011000101001=>110001010010
010011001001=>100110010010
010101001001=>101010010010
011001001001=>110010010010
010110001001=>101100010010
011010001001=>110100010010
011100001001=>111000010010
110101110001=>101011100011
000101110001=>001011100010
110110110001=>101101100011
010010110001=>100101100010
010100110001=>101001100010
010011010001=>100110100010
010101010001=>101010100010
011001010001=>110010100010
010110010001=>101100100010
011100010001=>111000100010
010011100001=>100111000010
010101100001=>101011000010
011001100001=>110011000010
010110100001=>101101000010
011010100001=>110101000010
011100100001=>111001000010
010111000001=>101110000010
011101000001=>111010000010
011110000001=>111100000010
111001010110=>110010101101
111010010110=>110100101101
110101100110=>101011001101
111001100110=>110011001101
110110100110=>101101001101
111010100110=>110101001101
110111000110=>101110001101
111001011010=>110010110101
110110011010=>101100110101
111001101010=>110011010101
111011001010=>110110010101
111101001010=>111010010101
111110001010=>111100010101
111100110010=>111001100101
111110010010=>111100100101
111110100010=>111101000101
110101011100=>101010111001
111100101100=>111001011001
111011001100=>110110011001
111110001100=>111100011001
111110010100=>111100101001
111110100100=>111101001001
111010111000=>110101110001
111100111000=>111001110001
111101011000=>111010110001
111110011000=>111100110001
111110101000=>111101010001
111110110000=>111101100001
000111111111=>001111111110
000001111111=>000011111110
001101111111=>011011111110
011110011111=>111100111110
000110011111=>001100111110
000000011111=>000000111110
001100011111=>011000111110
011011011111=>110110111110
000011011111=>000110111110
011111100111=>111111001110
000111100111=>001111001110
011001100111=>110011001110
000001100111=>000011001110
001101100111=>011011001110
011110000111=>111100001110
000110000111=>001100001110
011011000111=>110110001110
011110110111=>111101101110
000110110111=>001101101110
011000110111=>110001101110
011111111001=>111111110010
000111111001=>001111110010
011001111001=>110011110010
000001111001=>000011110010
001101111001=>011011110010
011110011001=>111100110010
000000011001=>000000110010
011011011001=>110110110010
011111100001=>111111000010
000001100001=>000011000010
000110000001=>001100000010
000011000001=>000110000010
001001000001=>010010000010
011110110001=>111101100010
000000110001=>000001100010
000011110001=>000111100010
000010010001=>000100100010
001000010001=>010000100010
011111101101=>111111011010
000111101101=>001111011010
011001101101=>110011011010
011110001101=>111100011010
000000001101=>000000011010
001100001101=>011000011010
000011001101=>000110011010
001111001101=>011110011010
001001001101=>010010011010
000000111101=>000001111010
001100111101=>011001111010
000011111101=>000111111010
001001111101=>010011111010
000010011101=>000100111010
001110011101=>011100111010
001000011101=>010000111010
001011011101=>010110111010
000011100101=>000111001010
001111100101=>011111001010
000010000101=>000100001010
001000000101=>010000001010
000010110101=>000101101010
001110110101=>011101101010
001000110101=>010001101010
001011110101=>010111101010
111110000000=>111100000001
111101000000=>111010000001
111001010000=>110010100001
110101001000=>101010010001
110110010000=>101100100001
110111000000=>101110000001
101110001000=>011100010001
101101001000=>011010010001
101110010000=>011100100001
101111000000=>011110000001
101010011000=>010100110001
100101001100=>001010011001
100110010100=>001100101001
001010010110=>010100101100
001001011010=>010010110100
000101010110=>001010101100
000101011010=>001010110100
000011001110=>000110011100
000011010110=>000110101100
000011011010=>000110110100
000001011110=>000010111100
010101000110=>101010001100
010100100110=>101001001100
010100011100=>101000111000
010100011010=>101000110100
010011000110=>100110001100
010001110100=>100011101000
010001110010=>100011100100
010001101100=>100011011000
001010100110=>010101001100
001010001110=>010100011100
001001101010=>010011010100
001001100110=>010011001100
001001001110=>010010011100
001000111010=>010001110100
001000110110=>010001101100
001000101110=>010001011100
001000011110=>010000111100
000110101010=>001101010100
000110100110=>001101001100
000101101010=>001011010100
000101100110=>001011001100
000100111010=>001001110100
000100110110=>001001101100
000100101110=>001001011100
000100011110=>001000111100
000011101010=>000111010100
000011100110=>000111001100
000010111010=>000101110100
000010110110=>000101101100
000010101110=>000101011100
000001111010=>000011110100
000001110110=>000011101100
000001101110=>000011011100
000000111110=>000001111100
101100010100=>011000101001
100101100100=>001011001001
101001100100=>010011001001
110001100100=>100011001001
100101101000=>001011010001
101001101000=>010011010001
100110101000=>001101010001
110010101000=>100101010001
101100101000=>011001010001
110100101000=>101001010001
111000101000=>110001010001
111001001000=>110010010001
111010001000=>110100010001
100101110000=>001011100001
101010110000=>010101100001
101100110000=>011001100001
110100110000=>101001100001
111100010000=>111000100001
101011100000=>010111000001
110011100000=>100111000001
101101100000=>011011000001
110101100000=>101011000001
111001100000=>110011000001
110110100000=>101101000001
111010100000=>110101000001
111100100000=>111001000001
1000000100000=>0000001000001
1000001000010=>0000010000101
1000001000100=>0000010001001
0000010000001=>0000100000010
1000001010000=>0000010100001
0000101000001=>0001010000010
1000010010000=>0000100100001
1000001001000=>0000010010001
0001001000001=>0010010000010
0000100100001=>0001001000010
1000100010000=>0001000100001
1000010101000=>0000101010001
0010001000001=>0100010000010
0001010100001=>0010101000010
0000100010001=>0001000100010
1001000010000=>0010000100001
1000100101000=>0001001010001
1000010001000=>0000100010001
1000010100100=>0000101001001
0100000010000=>1000000100000
0100001000001=>1000010000010
0010010100001=>0100101000010
0001000100001=>0010001000010
0001010010001=>0010100100010
0000100000010=>0001000000100
0000100001001=>0001000010010
1101010101010=>1010101010101
0100101001010=>1001010010100
0100101010010=>1001010100100
0101001001010=>1010010010100
0101001010010=>1010010100100
0010001001010=>0100010010100
0010001010010=>0100010100100
0010010001010=>0100100010100
0100010001010=>1000100010100
0010010010010=>0100100100100
0101010010010=>1010100100100
0100010010010=>1000100100100
0101010101010=>1010101010100
0010010101010=>0100101010100
0010100101010=>0101001010100
0100100101010=>1001001010100
0010101001010=>0101010010100
0010101010010=>0101010100100
0010100010010=>0101000100100
0101010100100=>1010101001000
0101010010100=>1010100101000
0100101000100=>1001010001000
0101010001000=>1010100010000
0101001010100=>1010010101000
0100100100010=>1001001000100
0100100100100=>1001001001000
0101001000100=>1010010001000
0101001001000=>1010010010000
0100101010100=>1001010101000
0000010000010=>0000100000100
0000101000010=>0001010000100
0000100100010=>0001001000100
0001001000010=>0010010000100
0000100010010=>0001000100100
0001010100010=>0010101000100
0010001000010=>0100010000100
0000100001010=>0001000010100
0001010010010=>0010100100100
0001000100010=>0010001000100
0010010100010=>0100101000100
0100001000010=>1000010000100
0010101001000=>0101010010000
0001001010100=>0010010101000
0100101001000=>1001010010000
0010101000100=>0101010001000
0010001010100=>0100010101000
0001001010010=>0010010100100
0000010010000=>0000100100000
0000010100000=>0000101000000
0100001001000=>1000010010000
0100001010000=>1000010100000
0010001001000=>0100010010000
0010001010000=>0100010100000
0000100100100=>0001001001000
0001001001000=>0010010010000
0000100001000=>0001000010000
0000101000100=>0001010001000
0000100010000=>0001000100000
0001001010000=>0010010100000
0010101010100=>0101010101000
0010100010000=>0101000100000
0000101010000=>0001010100000
0001010101000=>0010101010000
0101000101000=>1010001010000
0100000100000=>1000001000000
0010000100000=>0100001000000
0000010000100=>0000100001000
0001000100000=>0010001000000
0000010001000=>0000100010000
0000100100000=>0001001000000
0001001000100=>0010010001000
0010100101000=>0101001010000
0010100100100=>0101001001000
0100100101000=>1001001010000
0000001000000=>0000010000000
0100010001000=>1000100010000
0000101001000=>0001010010000
0100001000100=>1000010001000
0100010010100=>1000100101000
0100100001000=>1001000010000
0001000010010=>0010000100100
0010100100010=>0101001000100
0100010010000=>1000100100000
0000100000100=>0001000001000
0010100001000=>0101000010000
0001010001000=>0010100010000
0010010001000=>0100100010000
0001000001000=>0010000010000
0001000101000=>0010001010000
1101011100010=>1010111000101
1101011101000=>1010111010001
1111110000010=>1111100000101
1101111100000=>1011111000001
1111101000010=>1111010000101
1101111010000=>1011110100001
1111100100010=>1111001000101
1111011000010=>1110110000101
1101111001000=>1011110010001
1101110110000=>1011101100001
1111100010010=>1111000100101
1111010100010=>1110101000101
1110111000010=>1101110000101
1111100001100=>1111000011001
1101111000100=>1011110001001
1101110101000=>1011101010001
1110011110000=>1100111100001
1101101110000=>1011011100001
1111100001010=>1111000010101
1111010010010=>1110100100101
1111001100010=>1110011000101
1110110100010=>1101101000101
1101111000010=>1011110000101
1111010001100=>1110100011001
1101110100100=>1011101001001
1111000111000=>1110001110001
1101110011000=>1011100110001
1110011101000=>1100111010001
1101101101000=>1011011010001
1101011110000=>1010111100001
1111010001010=>1110100010101
1111001010010=>1110010100101
1110110010010=>1101100100101
1110101100010=>1101011000101
1101110100010=>1011101000101
1111001001100=>1110010011001
1110110001100=>1101100011001
1111000110100=>1110001101001
1101110010100=>1011100101001
1110011100100=>1100111001001
1101101100100=>1011011001001
1110100111000=>1101001110001
1110011011000=>1100110110001
1101101011000=>1011010110001
0000100010011=>0001000100110
0000100010101=>0001000101010
0000100100101=>0001001001010
0001000100101=>0010001001010
0100100010000=>1001000100000
1100100010000=>1001000100001
1010100010000=>0101000100001
1010010010000=>0100100100001
1010010001000=>0100100010001
0001001001010=>0010010010100
0001000101010=>0010001010100
0001000100100=>0010001001000
0100100010010=>1001000100100
1110010101010=>1100101010101
1101100101010=>1011001010101
1110100101010=>1101001010101
1111000101010=>1110001010101
1101011001010=>1010110010101
1110011001010=>1100110010101
1101101001010=>1011010010101
1110101001010=>1101010010101
1111001001010=>1110010010101
1101110001010=>1011100010101
1110110001010=>1101100010101
1101010110010=>1010101100101
1110010110010=>1100101100101
1101100110010=>1011001100101
1110100110010=>1101001100101
1111000110010=>1110001100101
1101011010010=>1010110100101
1110011010010=>1100110100101
1101101010010=>1011010100101
1110101010010=>1101010100101
1101110010010=>1011100100101
1110011100010=>1100111000101
1101101100010=>1011011000101
1101010101100=>1010101011001
1110010101100=>1100101011001
1101100101100=>1011001011001
1110100101100=>1101001011001
1111000101100=>1110001011001
1101011001100=>1010110011001
1110011001100=>1100110011001
1101101001100=>1011010011001
1110101001100=>1101010011001
1101110001100=>1011100011001
1101010110100=>1010101101001
1110010110100=>1100101101001
1101100110100=>1011001101001
1110100110100=>1101001101001
1101011010100=>1010110101001
1110011010100=>1100110101001
1101101010100=>1011010101001
1110101010100=>1101010101001
1111001010100=>1110010101001
1110110010100=>1101100101001
1111010010100=>1110100101001
1111100010100=>1111000101001
1101011100100=>1010111001001
1110101100100=>1101011001001
1111001100100=>1110011001001
1110110100100=>1101101001001
1111010100100=>1110101001001
1111100100100=>1111001001001
1110111000100=>1101110001001
1111011000100=>1110110001001
1111101000100=>1111010001001
1111110000100=>1111100001001
1101010111000=>1010101110001
1110010111000=>1100101110001
1101100111000=>1011001110001
1101011011000=>1010110110001
1110101011000=>1101010110001
1111001011000=>1110010110001
1110110011000=>1101100110001
1111010011000=>1110100110001
1111100011000=>1111000110001
1110101101000=>1101011010001
1111001101000=>1110011010001
1110110101000=>1101101010001
1111010101000=>1110101010001
1111100101000=>1111001010001
1110111001000=>1101110010001
1111011001000=>1110110010001
1111101001000=>1111010010001
1111110001000=>1111100010001
1110101110000=>1101011100001
1111001110000=>1110011100001
1110110110000=>1101101100001
1111010110000=>1110101100001
1111100110000=>1111001100001
1110111010000=>1101110100001
1111011010000=>1110110100001
1111101010000=>1111010100001
1111110010000=>1111100100001
1110111100000=>1101111000001
1111011100000=>1110111000001
1111101100000=>1111011000001
1111110100000=>1111101000001
1111111000000=>1111110000001
0001000010000=>0010000100000
0100010101000=>1000101010000
0010000010000=>0100000100000
0001010000100=>0010100001000
0100010100100=>1000101001000
0010000101000=>0100001010000
0101000010000=>1010000100000
0001010001010=>0010100010100
0100010100010=>1000101000100
0010010000100=>0100100001000
0001000010100=>0010000101000
0010000100100=>0100001001000
0101000100010=>1010001000100
0010000100010=>0100001000100
0010010100100=>0100101001000
0010001000100=>0100010001000
0100010000100=>1000100001000
0010010010100=>0100100101000
0100100010100=>1001000101000
0010100010100=>0101000101000
0001010010100=>0010100101000
0000100010100=>0001000101000
0101000100100=>1010001001000
0001010100100=>0010101001000
0010010101000=>0100101010000
0000100101000=>0001001010000
0010010010000=>0100100100000
0001010010000=>0010100100000
10101010101010=>01010101010101
10101010101100=>01010101011001
10101010110010=>01010101100101
10101010110100=>01010101101001
10101010111000=>01010101110001
10101011001010=>01010110010101
10101011001100=>01010110011001
10101011010010=>01010110100101
10101011010100=>01010110101001
10101011011000=>01010110110001
10101011100010=>01010111000101
10101011100100=>01010111001001
10101011101000=>01010111010001
10101011110000=>01010111100001
10101100101010=>01011001010101
10101100101100=>01011001011001
10101100110010=>01011001100101
10101100110100=>01011001101001
10101100111000=>01011001110001
10101101001010=>01011010010101
10101101001100=>01011010011001
10101101010010=>01011010100101
10101101010100=>01011010101001
10101101011000=>01011010110001
10101101100010=>01011011000101
10101101100100=>01011011001001
10101101101000=>01011011010001
10101101110000=>01011011100001
10101110001010=>01011100010101
10101110001100=>01011100011001
10101110010010=>01011100100101
10101110010100=>01011100101001
10101110011000=>01011100110001
10101110100010=>01011101000101
10101110100100=>01011101001001
10101110101000=>01011101010001
10101110110000=>01011101100001
10101111000010=>01011110000101
10101111000100=>01011110001001
10101111001000=>01011110010001
10101111010000=>01011110100001
10101111100000=>01011111000001
10110010101010=>01100101010101
10110010101100=>01100101011001
10110010110010=>01100101100101
10110010110100=>01100101101001
10110010111000=>01100101110001
10110011001010=>01100110010101
10110011001100=>01100110011001
10110011010010=>01100110100101
10110011010100=>01100110101001
10110011011000=>01100110110001
10110011100010=>01100111000101
10110011100100=>01100111001001
10110011101000=>01100111010001
10110011110000=>01100111100001
10110100101010=>01101001010101
10110100101100=>01101001011001
10110100110010=>01101001100101
10110100110100=>01101001101001
10110100111000=>01101001110001
10110101001010=>01101010010101
10110101001100=>01101010011001
10110101010010=>01101010100101
10110101010100=>01101010101001
10110101011000=>01101010110001
10110101100010=>01101011000101
10110101100100=>01101011001001
10110101101000=>01101011010001
10110101110000=>01101011100001
10110110001010=>01101100010101
10110110001100=>01101100011001
10110110010010=>01101100100101
10110110010100=>01101100101001
10110110011000=>01101100110001
10110110100010=>01101101000101
10110110100100=>01101101001001
10110110101000=>01101101010001
10110110110000=>01101101100001
10110111000010=>01101110000101
10110111000100=>01101110001001
10110111001000=>01101110010001
10110111010000=>01101110100001
10110111100000=>01101111000001
10111000101010=>01110001010101
10111000101100=>01110001011001
10111000110010=>01110001100101
10111000110100=>01110001101001
10111000111000=>01110001110001
10111001001010=>01110010010101
10111001001100=>01110010011001
10111001010010=>01110010100101
10111001010100=>01110010101001
10111001011000=>01110010110001
10111001100010=>01110011000101
10111001100100=>01110011001001
10111001101000=>01110011010001
10111001110000=>01110011100001
10111010001010=>01110100010101
10111010001100=>01110100011001
10111010010010=>01110100100101
10111010010100=>01110100101001
10111010011000=>01110100110001
10111010100010=>01110101000101
10111010100100=>01110101001001
10111010101000=>01110101010001
10111010110000=>01110101100001
10111011000010=>01110110000101
10111011000100=>01110110001001
10111011001000=>01110110010001
10111011010000=>01110110100001
10111011100000=>01110111000001
10111100001010=>01111000010101
10111100001100=>01111000011001
10111100010010=>01111000100101
10111100010100=>01111000101001
10111100011000=>01111000110001
10111100100010=>01111001000101
10111100100100=>01111001001001
10111100101000=>01111001010001
10111100110000=>01111001100001
10111101000010=>01111010000101
10111101000100=>01111010001001
10111101001000=>01111010010001
10111101010000=>01111010100001
10111101100000=>01111011000001
10111110000010=>01111100000101
10111110000100=>01111100001001
10111110001000=>01111100010001
10111110010000=>01111100100001
10111110100000=>01111101000001
10111111000000=>01111110000001
11001010101010=>10010101010101
11001010101100=>10010101011001
11001010110010=>10010101100101
11001010110100=>10010101101001
11001010111000=>10010101110001
11001011001010=>10010110010101
11001011001100=>10010110011001
11001011010010=>10010110100101
11001011010100=>10010110101001
11001011011000=>10010110110001
11001011100010=>10010111000101
11001011100100=>10010111001001
11001011110000=>10010111100001
11001100101010=>10011001010101
11001100101100=>10011001011001
11001100110010=>10011001100101
11001100110100=>10011001101001
11001100111000=>10011001110001
11001101001010=>10011010010101
11001101001100=>10011010011001
11001101010010=>10011010100101
11001101010100=>10011010101001
11001101011000=>10011010110001
11001101100010=>10011011000101
11001101100100=>10011011001001
11001101101000=>10011011010001
11001101110000=>10011011100001
11001110001010=>10011100010101
11001110001100=>10011100011001
11001110010010=>10011100100101
11001110010100=>10011100101001
11001110011000=>10011100110001
11001110100010=>10011101000101
11001110100100=>10011101001001
11001110101000=>10011101010001
11001110110000=>10011101100001
11001111000010=>10011110000101
11001111000100=>10011110001001
11001111001000=>10011110010001
11001111010000=>10011110100001
11001111100000=>10011111000001
11010010101010=>10100101010101
11010010101100=>10100101011001
11010010110010=>10100101100101
11010010110100=>10100101101001
11010010111000=>10100101110001
11010011001010=>10100110010101
11010011001100=>10100110011001
11010011010010=>10100110100101
11010011010100=>10100110101001
11010011011000=>10100110110001
11010011100010=>10100111000101
11010011100100=>10100111001001
11010011101000=>10100111010001
11010011110000=>10100111100001
11010100101010=>10101001010101
11010100101100=>10101001011001
11010100110010=>10101001100101
11010100110100=>10101001101001
11010100111000=>10101001110001
11010101001010=>10101010010101
11010101001100=>10101010011001
11010101010010=>10101010100101
11010101010100=>10101010101001
11010101011000=>10101010110001
11010101100010=>10101011000101
11010101100100=>10101011001001
11010101101000=>10101011010001
11010101110000=>10101011100001
11010110001010=>10101100010101
11010110001100=>10101100011001
11010110010010=>10101100100101
11010110010100=>10101100101001
11010110011000=>10101100110001
11010110100010=>10101101000101
11010110100100=>10101101001001
11010110101000=>10101101010001
11010110110000=>10101101100001
11010111000010=>10101110000101
11010111000100=>10101110001001
11010111001000=>10101110010001
11010111010000=>10101110100001
11010111100000=>10101111000001
11011000101010=>10110001010101
11011000101100=>10110001011001
11011000110010=>10110001100101
11011000110100=>10110001101001
11011000111000=>10110001110001
11011001001010=>10110010010101
11011001001100=>10110010011001
11011001010010=>10110010100101
11011001010100=>10110010101001
11011001011000=>10110010110001
11011001100010=>10110011000101
11011001100100=>10110011001001
11011001101000=>10110011010001
11011001110000=>10110011100001
11011010001010=>10110100010101
11011010001100=>10110100011001
11011010010010=>10110100100101
11011010010100=>10110100101001
11011010011000=>10110100110001
11011010100010=>10110101000101
11011010100100=>10110101001001
11011010101000=>10110101010001
11011010110000=>10110101100001
11011011000010=>10110110000101
11011011000100=>10110110001001
11011011001000=>10110110010001
11011011010000=>10110110100001
11011011100000=>10110111000001
11011100001010=>10111000010101
11011100001100=>10111000011001
11011100010010=>10111000100101
11011100010100=>10111000101001
11011100011000=>10111000110001
11011100100010=>10111001000101
11011100100100=>10111001001001
11011100101000=>10111001010001
11011100110000=>10111001100001
11011101000010=>10111010000101
11011101000100=>10111010001001
11011101001000=>10111010010001
11011101010000=>10111010100001
11011101100000=>10111011000001
11011110000010=>10111100000101
11011110000100=>10111100001001
11011110001000=>10111100010001
11011110010000=>10111100100001
11011110100000=>10111101000001
11011111000000=>10111110000001
11100010101010=>11000101010101
11100010101100=>11000101011001
11100010110010=>11000101100101
11100010110100=>11000101101001
11100010111000=>11000101110001
11100011001010=>11000110010101
11100011001100=>11000110011001
11100011010010=>11000110100101
11100011010100=>11000110101001
11100011011000=>11000110110001
11100011100010=>11000111000101
11100011100100=>11000111001001
11100011101000=>11000111010001
11100011110000=>11000111100001
11100100101010=>11001001010101
11100100101100=>11001001011001
11100100110010=>11001001100101
11100100110100=>11001001101001
11100100111000=>11001001110001
11100101001010=>11001010010101
11100101001100=>11001010011001
11100101010010=>11001010100101
11100101010100=>11001010101001
11100101011000=>11001010110001
11100101100010=>11001011000101
11100101100100=>11001011001001
11100101101000=>11001011010001
11100101110000=>11001011100001
11100110001010=>11001100010101
11100110001100=>11001100011001
11100110010010=>11001100100101
11100110010100=>11001100101001
11100110011000=>11001100110001
11100110100010=>11001101000101
11100110100100=>11001101001001
11100110101000=>11001101010001
11100110110000=>11001101100001
11100111000010=>11001110000101
11100111000100=>11001110001001
11100111001000=>11001110010001
11100111010000=>11001110100001
11100111100000=>11001111000001
11101000101010=>11010001010101
11101000101100=>11010001011001
11101000110010=>11010001100101
11101000110100=>11010001101001
11101000111000=>11010001110001
11101001001010=>11010010010101
11101001001100=>11010010011001
11101001010010=>11010010100101
11101001010100=>11010010101001
11101001011000=>11010010110001
11101001100010=>11010011000101
11101001100100=>11010011001001
11101001101000=>11010011010001
11101001110000=>11010011100001
11101010001010=>11010100010101
11101010001100=>11010100011001
11101010010010=>11010100100101
11101010010100=>11010100101001
11101010011000=>11010100110001
11101010100010=>11010101000101
11101010100100=>11010101001001
11101010101000=>11010101010001
11101010110000=>11010101100001
11101011000010=>11010110000101
11101011000100=>11010110001001
11101011001000=>11010110010001
11101011010000=>11010110100001
11101011100000=>11010111000001
11101100001010=>11011000010101
11101100001100=>11011000011001
11101100010010=>11011000100101
11101100010100=>11011000101001
11101100011000=>11011000110001
11101100100010=>11011001000101
11101100100100=>11011001001001
11101100101000=>11011001010001
11101100110000=>11011001100001
11101101000010=>11011010000101
11101101000100=>11011010001001
11101101001000=>11011010010001
11101101010000=>11011010100001
11101101100000=>11011011000001
11101110000010=>11011100000101
11101110000100=>11011100001001
11101110001000=>11011100010001
11101110010000=>11011100100001
11101110100000=>11011101000001
11101111000000=>11011110000001
11110000101010=>11100001010101
11110000101100=>11100001011001
11110000110010=>11100001100101
11110000110100=>11100001101001
11110000111000=>11100001110001
11110001001010=>11100010010101
11110001001100=>11100010011001
11110001010010=>11100010100101
11110001010100=>11100010101001
11110001011000=>11100010110001
11110001100010=>11100011000101
11110001100100=>11100011001001
11110001101000=>11100011010001
11110001110000=>11100011100001
11110010001010=>11100100010101
11110010001100=>11100100011001
11110010010010=>11100100100101
11110010010100=>11100100101001
11110010011000=>11100100110001
11110010100010=>11100101000101
11110010100100=>11100101001001
11110010101000=>11100101010001
11110010110000=>11100101100001
11110011000010=>11100110000101
11110011000100=>11100110001001
11110011001000=>11100110010001
11110011010000=>11100110100001
11110011100000=>11100111000001
11110100001010=>11101000010101
11110100001100=>11101000011001
11110100010010=>11101000100101
11110100010100=>11101000101001
11110100011000=>11101000110001
11110100100010=>11101001000101
11110100100100=>11101001001001
11110100101000=>11101001010001
11110100110000=>11101001100001
11110101000010=>11101010000101
11110101000100=>11101010001001
11110101001000=>11101010010001
11110101010000=>11101010100001
11110101100000=>11101011000001
11110110000010=>11101100000101
11110110000100=>11101100001001
11110110001000=>11101100010001
11110110010000=>11101100100001
11110110100000=>11101101000001
11110111000000=>11101110000001
11111000001010=>11110000010101
11111000001100=>11110000011001
11111000010010=>11110000100101
11111000010100=>11110000101001
11111000011000=>11110000110001
11111000100010=>11110001000101
11111000100100=>11110001001001
11111000101000=>11110001010001
11111000110000=>11110001100001
11111001000010=>11110010000101
11111001000100=>11110010001001
11111001001000=>11110010010001
11111001010000=>11110010100001
11111001100000=>11110011000001
11111010000010=>11110100000101
11111010000100=>11110100001001
11111010001000=>11110100010001
11111010010000=>11110100100001
11111010100000=>11110101000001
11111011000000=>11110110000001
11111100000010=>11111000000101
11111100000100=>11111000001001
11111100001000=>11111000010001
11111100010000=>11111000100001
11111100100000=>11111001000001
11111101000000=>11111010000001
11111110000000=>11111100000001
10100100010000=>01001000100001
00000110111110=>00001101111100
10000011111100=>00000111111001
00001110111100=>00011101111000
10000111111000=>00001111110001
00001110111010=>00011101110100
00010110111100=>00101101111000
10000111110100=>00001111101001
10001011111000=>00010111110001
00001110110110=>00011101101100
00011110111000=>00111101110000
00100110111100=>01001101111000
10000111101100=>00001111011001
10001111110000=>00011111100001
10010011111000=>00100111110001
00001110101110=>00011101011100
00011110110100=>00111101101000
00010110111010=>00101101110100
00101110111000=>01011101110000
01000110111100=>10001101111000
00001011011110=>00010110111100
10000111011100=>00001110111001
10001111101000=>00011111010001
10001011110100=>00010111101001
10010111110000=>00101111100001
01000011111010=>10000111110100
10100011111000=>01000111110001
00000011111101=>00000111111010
01000000111111=>10000001111110
00000101111101=>00001011111010
01000001011111=>10000010111110
00000110111101=>00001101111010
00001001111101=>00010011111010
01000001101111=>10000011011110
01000010011111=>10000100111110
00000111011101=>00001110111010
00001010111101=>00010101111010
00010001111101=>00100011111010
01000001110111=>10000011101110
01000010101111=>10000101011110
01000100011111=>10001000111110
00000111101101=>00001111011010
00001011011101=>00010110111010
00001100111101=>00011001111010
00010010111101=>00100101111010
00100001111101=>01000011111010
00000111110011=>00001111100110
01000001111011=>10000011110110
01000010110111=>10000101101110
01000011001111=>10000110011110
01000100101111=>10001001011110
00110000011111=>01100000111110
01001000011111=>10010000111110
01111110000001=>11111100000010
11111000000101=>11110000001011
01111101000001=>11111010000010
11110100000101=>11101000001011
01111011000001=>11110110000010
01111100100001=>11111001000010
11101100000101=>11011000001011
11110010000101=>11100100001011
01110111000001=>11101110000010
01111010100001=>11110101000010
01111100010001=>11111000100010
11011100000101=>10111000001011
11101010000101=>11010100001011
11110001000101=>11100010001011
01101111000001=>11011110000010
01110110100001=>11101101000010
01111001100001=>11110011000010
01111010010001=>11110100100010
01111100001001=>11111000010010
10011111000001=>00111110000011
10111100000101=>01111000001011
11011010000101=>10110100001011
11100110000101=>11001100001011
11101001000101=>11010010001011
11110000011001=>11100000110011
11110000100101=>11100001001011
01011111100000=>10111111000000
01011111010000=>10111110100000
01011110110000=>10111101100000
01011111001000=>10111110010000
01011101110000=>10111011100000
01011110101000=>10111101010000
01011111000100=>10111110001000
01011011110000=>10110111100000
01011101101000=>10111011010000
01011110011000=>10111100110000
01011110100100=>10111101001000
01011111000010=>10111110000100
01100111110000=>11001111100000
01111100000110=>11111000001100
11101010010101=>11010100101011
10101001010111=>01010010101111
11101011110101=>11010111101011
10101111010111=>01011110101111
11101000110101=>11010001101011
11101011000101=>11010110001011
10100011010111=>01000110101111
10101100010111=>01011000101111
11101110110101=>11011101101011
11101000000101=>11010000001011
11101011011101=>11010110111011
10111011010111=>01110110101111
10100000010111=>01000000101111
10101101110111=>01011011101111
11100010110101=>11000101101011
11101110000101=>11011100001011
11101001100101=>11010011001011
11101000011101=>11010000111011
11101011010001=>11010110100011
10011010110101=>00110101101011
10001011010111=>00010110101111
10111000010111=>01110000101111
10100110010111=>01001100101111
10100001110111=>01000011101111
10101101011001=>01011010110011
10101101000111=>01011010001111
01111110000100=>11111100001000
01111110000010=>11111100000100
01111011000100=>11110110001000
01111011000010=>11110110000100
01110111000100=>11101110001000
01110110100100=>11101101001000
01110111000010=>11101110000100
01110110100010=>11101101000100
01101110100100=>11011101001000
01110011100100=>11100111001000
01101110010100=>11011100101000
01101110100010=>11011101000100
01110011100010=>11100111000100
01101110010010=>11011100100100
01101011100100=>11010111001000
01101111000100=>11011110001000
01101011010100=>11010110101000
01111110010000=>11111100100000
01101011100010=>11010111000100
01101111000010=>11011110000100
01101011010010=>11010110100100
01111110001000=>11111100010000
01111111000000=>11111110000000
01111011100000=>11110111000000
01110111100000=>11101111000000
01110111010000=>11101110100000
01101111100000=>11011111000000
01101011101000=>11010111010000
01101111001000=>11011110010000
01010111100100=>10101111001000
01101111010000=>11011110100000
01011011100100=>10110111001000
01111110100000=>11111101000000
00101010101011=>01010101010110
00101010100111=>01010101001110
00101010010111=>01010100101110
00101010011011=>01010100110110
00101001010111=>01010010101110
00101001100111=>01010011001110
00101001101011=>01010011010110
00100101010111=>01001010101110
00100110010111=>01001100101110
00101001011011=>01010010110110
00100110100111=>01001101001110
00100110101011=>01001101010110
00011010101011=>00110101010110
00010110101011=>00101101010110
00010101101011=>00101011010110
00011001101011=>00110011010110
00010101011011=>00101010110110
00010110011011=>00101100110110
00100101101011=>01001011010110
00011010011011=>00110100110110
10101010101001=>01010101010011
11001010101001=>10010101010011
11010010101001=>10100101010011
10110010101001=>01100101010011
11010100101001=>10101001010011
11001100101001=>10011001010011
10101100101001=>01011001010011
11010101001001=>10101010010011
11010011001001=>10100110010011
10110100101001=>01101001010011
11001011001001=>10010110010011
10101011001001=>01010110010011
01101010101010=>11010101010100
01110010101010=>11100101010100
01110100101010=>11101001010100
01101100101010=>11011001010100
01110101001010=>11101010010100
01110011001010=>11100110010100
01101011001010=>11010110010100
01110101010010=>11101010100100
01110100110010=>11101001100100
01101101001010=>11011010010100
01110010110010=>11100101100100
01101010110010=>11010101100100
10000000000001=>00000000000011
10110000000001=>01100000000011
10111100000001=>01111000000011
10001100000001=>00011000000011
10111111000001=>01111110000011
10110011000001=>01100110000011
10000011000001=>00000110000011
10111111110001=>01111111100011
10111100110001=>01111001100011
10001111000001=>00011110000011
10110000110001=>01100001100011
10000000110001=>00000001100011
01010111110000=>10101111100000
00111111000010=>01111110000100
00111111000100=>01111110001000
01111011001000=>11110110010000
00011111000110=>00111110001100
00111111001000=>01111110010000
01111011010000=>11110110100000
00101111001010=>01011110010100
00011111001010=>00111110010100
00111111010000=>01111110100000
00001110101011=>00011101010110
00001101101011=>00011011010110
00101010001111=>01010100011110
00101001001111=>01010010011110
10101010110001=>01010101100011
10101011010001=>01010110100011
10101011100001=>01010111000011
10101101010001=>01011010100011
10101100110001=>01011001100011
10101101001001=>01011010010011
10101101100001=>01011011000011
10110101010001=>01101010100011
01101010101100=>11010101011000
01101010110100=>11010101101000
01101010111000=>11010101110000
01101011001100=>11010110011000
01101011011000=>11010110110000
01101101010100=>11011010101000
10000000001101=>00000000011011
10000000111101=>00000001111011
10000000100101=>00000001001011
10000011111101=>00000111111011
10000011001101=>00000110011011
10000011110001=>00000111100011
10000011100101=>00000111001011
10001111111101=>00011111111011
01000011111100=>10000111111000
01000111111000=>10001111110000
01001011111000=>10010111110000
01000111110100=>10001111101000
01010011111000=>10100111110000
01001111110000=>10011111100000
01000111101100=>10001111011000
01100011111000=>11000111110000
01001011110100=>10010111101000
01001111101000=>10011111010000
01000111011100=>10001110111000
00100000111111=>01000001111110
00100001011111=>01000010111110
00100010011111=>01000100111110
00100001101111=>01000011011110
00100100011111=>01001000111110
00100010101111=>01000101011110
00100001110111=>01000011101110
00101000011111=>01010000111110
00100100101111=>01001001011110
00100011001111=>01000110011110
00100010110111=>01000101101110
00100001111011=>01000011110110
00000011111011=>00000111110110
00000101111011=>00001011110110
00000110111011=>00001101110110
00001001111011=>00010011110110
00000111011011=>00001110110110
00001010111011=>00010101110110
00010001111011=>00100011110110
00000111101011=>00001111010110
00001011011011=>00010110110110
00001100111011=>00011001110110
00010010111011=>00100101110110
11111000001001=>11110000010011
11110100001001=>11101000010011
11110010001001=>11100100010011
11101100001001=>11011000010011
11110001001001=>11100010010011
11101010001001=>11010100010011
11011100001001=>10111000010011
11110000101001=>11100001010011
11101001001001=>11010010010011
11100110001001=>11001100010011
11011010001001=>10110100010011
10111100001001=>01111000010011
01111101000010=>11111010000100
01111100100010=>11111001000100
01111100010010=>11111000100100
01111010100010=>11110101000100
01111100001010=>11111000010100
01111010010010=>11110100100100
01111001100010=>11110011000100
10101001010001=>01010010100011
10101111010001=>01011110100011
10101100010001=>01011000100011
10100011010001=>01000110100011
10101101110001=>01011011100011
10100000010001=>01000000100011
10111011010001=>01110110100011
10101101000001=>01011010000011
10100001110001=>01000011100011
10100110010001=>01001100100011
10111000010001=>01110000100011
10001011010001=>00010110100011
00011111100010=>00111111000100
00111011110000=>01110111100000
00011111010010=>00111110100100
00101111100010=>01011111000100
00111011101000=>01110111010000
00001101010111=>00011010101110
00010101001111=>00101010011110
00001101011011=>00011010110110
00011001010111=>00110010101110
00010101100111=>00101011001110
00100101001111=>01001010011110
11010101100001=>10101011000011
11100101010001=>11001010100011
10110101100001=>01101011000011
11010100110001=>10101001100011
11001101010001=>10011010100011
11100101001001=>11001010010011
01110101011000=>11101010110000
01111001010100=>11110010101000
01101101011000=>11011010110000
01110101001100=>11101010011000
01110011010100=>11100110101000
01111001010010=>11110010100100
10111111100101=>01111111001011
10100111111101=>01001111111011
10001111100101=>00011111001011
10111111001101=>01111110011011
10110011111101=>01100111111011
10100111110001=>01001111100011
00001011111100=>00010111111000
00000111111100=>00001111111000
00010111011100=>00101110111000
00001111011100=>00011110111000
00010111101100=>00101111011000
00001111101100=>00011111011000
00101011111000=>01010111110000
00010111110100=>00101111101000
00010011111010=>00100111110100
00100111111000=>01001111110000
00001011111010=>00010111110100
00001111110100=>00011111101000
00000100111111=>00001001111110
00000010111111=>00000101111110
00001001110111=>00010011101110
00000101110111=>00001011101110
00010010011111=>00100100111110
00001001101111=>00010011011110
00001100011111=>00011000111110
00010001011111=>00100010111110
00000110011111=>00001100111110
00000101101111=>00001011011110
00000011011111=>00000110111110
00010001101111=>00100011011110
00000110110111=>00001101101110
00000111001111=>00001110011110
00001001011111=>00010010111110
11111001000001=>11110010000011
11111010000001=>11110100000011
10111100100001=>01111001000011
10111101000001=>01111010000011
11011100100001=>10111001000011
11011101000001=>10111010000011
11110010010001=>11100100100011
11101100100001=>11011001000011
11110001100001=>11100011000011
11110100010001=>11101000100011
11110011000001=>11100110000011
11101101000001=>11011010000011
01110111001000=>11101110010000
01010111101000=>10101111010000
01111100100100=>11111001001000
01111100011000=>11111000110000
01111101000100=>11111010001000
01100111101000=>11001111010000
01011011101000=>10110111010000
01111100110000=>11111001100000
10101001110101=>01010011101011
10101000010101=>01010000101011
10001011000101=>00010110001011
10001011110101=>00010111101011
10111011000101=>01110110001011
10111011110101=>01110111101011
10101100011101=>01011000111011
10100011000101=>01000110001011
10101101100101=>01011011001011
10101111011101=>01011110111011
10101100110101=>01011001101011
10100011110101=>01000111101011
00111111100000=>01111111000000
00001111100110=>00011111001100
00001111111000=>00011111110000
00011111110000=>00111111100000
00011111001100=>00111110011000
00010101010111=>00101010101110
00000111010111=>00001110101110
00000101011111=>00001010111110
00001010101111=>00010101011110
00001011101011=>00010111010110
00010100011111=>00101000111110
00101000101111=>01010001011110
11010101010001=>10101010100011
11010111000001=>10101110000011
11110101000001=>11101010000011
11101010100001=>11010101000011
10101110100001=>01011101000011
01110101010100=>11101010101000
01110101110000=>11101011100000
01111101010000=>11111010100000
01111010101000=>11110101010000
10111111111101=>01111111111011
10111110110101=>01111101101011
10101111110101=>01011111101011
10100000000101=>01000000001011
10000010000101=>00000100001011
00000111011110=>00001110111100
00000111101110=>00001111011100
00100011111100=>01000111111000
00000111110110=>00001111101100
00010011111100=>00100111111000
00000111111010=>00001111110100
00000011110111=>00000111101110
00010000111111=>00100001111110
00000011101111=>00000111011110
00001000111111=>00010001111110
10111110000001=>01111100000011
11011110000001=>10111100000011
11111000010001=>11110000100011
11101110000001=>11011100000011
11111000100001=>11110001000011
11110110000001=>11101100000011
01111101100000=>11111011000000
10001010010101=>00010100101011
10111010010101=>01110100101011
10101001011101=>01010010111011
10100010010101=>01000100101011
10101001000101=>01010010001011
10101110010101=>01011100101011
00100111110100=>01001111101000
00011111100100=>00111111001000
00101111100100=>01011111001000
00011111010100=>00111110101000
00001011010111=>00010110101110
00010011010111=>00100110101110
00010100101111=>00101001011110
00010100110111=>00101001101110
11101100010001=>11011000100011
11010110100001=>10101101000011
11010110010001=>10101100100011
10110110100001=>01101101000011
01110101101000=>11101011010000
01110101100100=>11101011001000
01101101101000=>11011011010000
10100011011101=>01000110111011
10111110000101=>01111100001011
10111110011101=>01111100111011
10001110000101=>00011100001011
00000011111110=>00000111111100
00010111111000=>00101111110000
00000001111111=>00000011111110
11111100000001=>11111000000011
11110100100001=>11101001000011
01100111011000=>11001110110000
01111101001000=>11111010010000
10101011010101=>01010110101011
10101111000101=>01011110001011
01101101110000=>11011011100000
11110001010001=>11100010100011
00001111011010=>00011110110100
00100011111010=>01000111110100
01010110101000=>10101101010000
01011100101000=>10111001010000
01110100101000=>11101001010000
01011001101000=>10110011010000
01011110001000=>10111100010000
00101111110000=>01011111100000
00101111101000=>01011111010000
00101111011000=>01011110110000
00101111010100=>01011110101000
00101111010010=>01011110100100
00101111001100=>01011110011000
00110011111000=>01100111110000
00001000100101=>00010001001010
10001111001101=>00011110011011
10100100000001=>01001000000011
10010010010010=>00100100100101
00100111011100=>01001110111000
00011111011000=>00111110110000
00001011101110=>00010111011100
00001111010110=>00011110101100
00100111110010=>01001111100100
00010011110110=>00100111101100
00010111011010=>00101110110100
00011011101100=>00110111011000
00001111001110=>00011110011100
01001111100100=>10011111001000
01001111011000=>10011110110000
00101011110010=>01010111100100
00100111101010=>01001111010100
00110011110100=>01100111101000
00110111011000=>01101110110000
00101011101100=>01010111011000
00010111100110=>00101111001100
00011011101010=>00110111010100
00011000011111=>00110000111110
00000111100111=>00001111001110
00011000101111=>00110001011110
00001110001111=>00011100011110
00001011100111=>00010111001110
00100100110111=>01001001101110
00100011010111=>01000110101110
00100010111011=>01000101110110
00011001001111=>00110010011110
00011000110111=>00110001101110
00010110001111=>00101100011110
00010100111011=>00101001110110
00010011100111=>00100111001110
00010011011011=>00100110110110
00001110010111=>00011100101110
00001101100111=>00011011001110
10111011000001=>01110110000011
11110000110001=>11100001100011
10111100010001=>01111000100011
10111010100001=>01110101000011
11001111000001=>10011110000011
10110111000001=>01101110000011
11101000110001=>11010001100011
10111010010001=>01110100100011
11100011100001=>11000111000011
10111001100001=>01110011000011
11001110100001=>10011101000011
10101111000001=>01011110000011
11101000101001=>11010001010011
11011001001001=>10110010010011
11010110001001=>10101100010011
10111010001001=>01110100010011
11100100110001=>11001001100011
11011000110001=>10110001100011
11100011010001=>11000110100011
10111001010001=>01110010100011
11001110010001=>10011100100011
10110110010001=>01101100100011
11010011100001=>10100111000011
11001101100001=>10011011000011
01101110110000=>11011101100000
01111100001100=>11111000011000
01101110101000=>11011101010000
01110011110000=>11100111100000
01111010001100=>11110100011000
01111000111000=>11110001110000
01101110011000=>11011100110000
01110011101000=>11100111010000
01101011110000=>11010111100000
01111010001010=>11110100010100
01110110010010=>11101100100100
01110101100010=>11101011000100
01111001001100=>11110010011000
01110110001100=>11101100011000
01111000110100=>11110001101000
01101101100100=>11011011001000
01110100111000=>11101001110000
01110011011000=>11100110110000
10001000110101=>00010001101011
10101101001101=>01011010011011
10001011011101=>00010110111011
10001000000101=>00010000001011
10110010110101=>01100101101011
10001110110101=>00011101101011
10100001001101=>01000010011011
10001000011101=>00010000111011
10100100100101=>01001001001011
10001001100101=>00010011001011
10110010000101=>01100100001011
10000010110101=>00000101101011
10100001000001=>01000010000011
10111001110001=>01110011100011
10111110010001=>01111100100011
10001000010001=>00010000100011
10100111001101=>01001110011011
10111001001101=>01110010011011
10100100111101=>01001001111011
10001001111101=>00010011111011
10110010011101=>01100100111011
10001110011101=>00011100111011
10111100100101=>01111001001011
10110011100101=>01100111001011
01010111010100=>10101110101000
01010011110100=>10100111101000
01010111011000=>10101110110000
01001111001100=>10011110011000
01001011101100=>10010111011000
01001111010100=>10011110101000
00111011100010=>01110111000100
00110111010010=>01101110100100
00110111100010=>01101111000100
00110011110010=>01100111100100
00101011101010=>01010111010100
00100111011010=>01001110110100
00111011100100=>01110111001000
00110111010100=>01101110101000
00110111100100=>01101111001000
00110111101000=>01101111010000
00110111110000=>01101111100000
00101011110100=>01010111101000
00100111101100=>01001111011000
00011011100110=>00110111001100
00010111010110=>00101110101100
00011011110010=>00110111100100
00010111101010=>00101111010100
00010111110010=>00101111100100
00011011110100=>00110111101000
00011111101000=>00111111010000
00011011111000=>00110111110000
00001011110110=>00010111101100
00001111101010=>00011111010100
00001111110010=>00011111100100
00101000111011=>01010001110110
00101000110111=>01010001101110
00100110011011=>01001100110110
00100110001111=>01001100011110
00100101100111=>01001011001110
00100101011011=>01001010110110
00100100111011=>01001001110110
00100011101011=>01000111010110
00100011100111=>01000111001110
00100011011011=>01000110110110
00011010100111=>00110101001110
00011010010111=>00110100101110
00011010001111=>00110100011110
00011001100111=>00110011001110
00011001011011=>00110010110110
00011000111011=>00110001110110
00010110100111=>00101101001110
00010110010111=>00101100101110
00010011101011=>00100111010110
00010011001111=>00100110011110
00010010110111=>00100101101110
00010010101111=>00100101011110
00010001110111=>00100011101110
00001110100111=>00011101001110
00001110011011=>00011100110110
00001101001111=>00011010011110
00001100110111=>00011001101110
00001100101111=>00011001011110
00001011001111=>00010110011110
00001010110111=>00010101101110
00001010011111=>00010100111110
00000110101111=>00001101011110
11100010101001=>11000101010011
11100100101001=>11001001010011
10111000101001=>01110001010011
11011000101001=>10110001010011
10110011001001=>01100110010011
11100011001001=>11000110010011
11001101001001=>10011010010011
10110101001001=>01101010010011
10111001001001=>01110010010011
10101110001001=>01011100010011
11001110001001=>10011100010011
10110110001001=>01101100010011
11001010110001=>10010101100011
10110010110001=>01100101100011
11010010110001=>10100101100011
11100010110001=>11000101100011
11001100110001=>10011001100011
10110100110001=>01101001100011
10111000110001=>01110001100011
11001011010001=>10010110100011
10110011010001=>01100110100011
11010011010001=>10100110100011
11011001010001=>10110010100011
11101001010001=>11010010100011
10101110010001=>01011100100011
11100110010001=>11001100100011
11011010010001=>10110100100011
11101010010001=>11010100100011
11011100010001=>10111000100011
11001011100001=>10010111000011
10110011100001=>01100111000011
11100101100001=>11001011000011
11011001100001=>10110011000011
11101001100001=>11010011000011
11100110100001=>11001101000011
11011010100001=>10110101000011
11110010100001=>11100101000011
11100111000001=>11001110000011
11011011000001=>10110110000011
11101011000001=>11010110000011
01111000101010=>11110001010100
01111001001010=>11110010010100
01101110001010=>11011100010100
01110110001010=>11101100010100
01101100110010=>11011001100100
01111000110010=>11110001100100
01110011010010=>11100110100100
01101101010010=>11011010100100
01101101100010=>11011011000100
01110010101100=>11100101011000
01101100101100=>11011001011000
01110100101100=>11101001011000
01111000101100=>11110001011000
01110011001100=>11100110011000
01101101001100=>11011010011000
01101110001100=>11011100011000
01110010110100=>11100101101000
01101100110100=>11011001101000
01110100110100=>11101001101000
01110110010100=>11101100101000
01111010010100=>11110100101000
01111100010100=>11111000101000
01111001100100=>11110011001000
01111010100100=>11110101001000
01110010111000=>11100101110000
01101100111000=>11011001110000
01111001011000=>11110010110000
01110110011000=>11101100110000
01111010011000=>11110100110000
01111001101000=>11110011010000
01110110101000=>11101101010000
01111100101000=>11111001010000
01111001110000=>11110011100000
01110110110000=>11101101100000
01111010110000=>11110101100000
10100111000001=>01001110000011
10001001000001=>00010010000011
10111001000001=>01110010000011
10001100110001=>00011001100011
10100100110001=>01001001100011
10110011110001=>01100111100011
10001111110001=>00011111100011
10001001110001=>00010011100011
10000010010001=>00000100100011
10110010010001=>01100100100011
10001110010001=>00011100100011
10110000001101=>01100000011011
10001100001101=>00011000011011
10111100001101=>01111000011011
10100100001101=>01001000011011
10110011001101=>01100110011011
10001001001101=>00010010011011
10110000111101=>01100001111011
10001100111101=>00011001111011
10111100111101=>01111001111011
10111001111101=>01110011111011
10100001111101=>01000011111011
10101101111101=>01011011111011
10000010011101=>00000100111011
10100110011101=>01001100111011
10111000011101=>01110000111011
10100000011101=>01000000111011
10111011011101=>01110110111011
10110000100101=>01100001001011
10001100100101=>00011001001011
10100111100101=>01001111001011
10111001100101=>01110011001011
10100001100101=>01000011001011
10100110000101=>01001100001011
10111000000101=>01110000001011
10101100000101=>01011000001011
10100110110101=>01001101101011
10111000110101=>01110001101011
10100000110101=>01000001101011
01110011000010=>11100110000100
01111100000010=>11111000000100
01110110000010=>11101100000100
01011110000010=>10111100000100
01110100100010=>11101001000100
00111111000000=>01111110000000
00111110100000=>01111101000000
01111010000010=>11110100000100
00111101100000=>01111011000000
00111110010000=>01111100100000
01111001000010=>11110010000100
00111011100000=>01110111000000
00111101010000=>01111010100000
00111110001000=>01111100010000
01101110000010=>11011100000100
01110101000010=>11101010000100
01111000100010=>11110001000100
00110111100000=>01101111000000
00111011010000=>01110110100000
00111100110000=>01111001100000
00111101001000=>01111010010000
00111110000100=>01111100001000
01001111100000=>10011111000000
01101101000010=>11011010000100
01111000001100=>11110000011000
01111000010010=>11110000100100
01010101010100=>10101010101000
01100101010100=>11001010101000
01101001010100=>11010010101000
01011001010100=>10110010101000
01101010010100=>11010100101000
01100110010100=>11001100101000
01010110010100=>10101100101000
01101010100100=>11010101001000
01101001100100=>11010011001000
01011010010100=>10110100101000
01100101100100=>11001011001000
01010101100100=>10101011001000
01010101011000=>10101010110000
01010101101000=>10101011010000
01010101110000=>10101011100000
01010110011000=>10101100110000
01010110100100=>10101101001000
01010110110000=>10101101100000
01011010101000=>10110101010000
01111100000100=>11111000001000
01111010000100=>11110100001000
01111001000100=>11110010001000
01110110000100=>11101100001000
01111000100100=>11110001001000
01110101000100=>11101010001000
01101110000100=>11011100001000
01111000010100=>11110000101000
01110100100100=>11101001001000
01110011000100=>11100110001000
01101101000100=>11011010001000
01011110000100=>10111100001000
01101010110000=>11010101100000
01110010101000=>11100101010000
01011010110000=>10110101100000
01101010011000=>11010100110000
01100110101000=>11001101010000
01110010100100=>11100101001000
01111100100000=>11111001000000
01111101000000=>11111010000000
01011110010000=>10111100100000
01011110100000=>10111101000000
01101110010000=>11011100100000
01101110100000=>11011101000000
01111001001000=>11110010010000
01110110010000=>11101100100000
01111000110000=>11110001100000
01111010001000=>11110100010000
01111001100000=>11110011000000
01110110100000=>11101101000000
01101010101000=>11010101010000
01101011100000=>11010111000000
01111010100000=>11110101000000
01110101010000=>11101010100000
01010111010000=>10101110100000
01011111000000=>10111110000000
01101111000000=>11011110000000
01111100001000=>11111000010000
01110111000000=>11101110000000
01111100010000=>11111000100000
01111011000000=>11110110000000
01110110001000=>11101100010000
01101011010000=>11010110100000
01101011001000=>11010110010000
01011011010000=>10110110100000
01111110000000=>11111100000000
01111010010000=>11110100100000
01011101100000=>10111011000000
01111000011000=>11110000110000
01011101010000=>10111010100000
01100111100000=>11001111000000
01011011100000=>10110111000000
01110100011000=>11101000110000
01011101001000=>10111010010000
01110001110000=>11100011100000
01011100110000=>10111001100000
01100111010000=>11001110100000
01010111100000=>10101111000000
01110100010100=>11101000101000
01101100100100=>11011001001000
01101011000100=>11010110001000
01011101000100=>10111010001000
01110010011000=>11100100110000
01101100011000=>11011000110000
01110001101000=>11100011010000
01100111001000=>11001110010000
01011011001000=>10110110010000
01101001110000=>11010011100000
01100110110000=>11001101100000
01110001010100=>11100010101000
01110010010100=>11100100101000
01011100010100=>10111000101000
01101100010100=>11011000101000
01011001100100=>10110011001000
01110001100100=>11100011001000
01100110100100=>11001101001000
01011010100100=>10110101001000
01011100100100=>10111001001000
01010111000100=>10101110001000
01100111000100=>11001110001000
01011011000100=>10110110001000
01100101011000=>11001010110000
01011001011000=>10110010110000
01101001011000=>11010010110000
01110001011000=>11100010110000
01100110011000=>11001100110000
01011010011000=>10110100110000
01011100011000=>10111000110000
01100101101000=>11001011010000
01101001101000=>11010011010000
01101100101000=>11011001010000
01111000101000=>11110001010000
01010111001000=>10101110010000
01110011001000=>11100110010000
01101101001000=>11011010010000
01110101001000=>11101010010000
01101110001000=>11011100010000
01100101110000=>11001011100000
01011001110000=>10110011100000
01110010110000=>11100101100000
01101100110000=>11011001100000
01110100110000=>11101001100000
01110011010000=>11100110100000
01101101010000=>11011010100000
01111001010000=>11110010100000
01110011100000=>11100111000000
01101101100000=>11011011000000
01110101100000=>11101011000000
100000001000000=>000000010000001
000000100000001=>000001000000010
100000010100000=>000000101000001
000001010000001=>000010100000010
100000100100000=>000001001000001
100000010010000=>000000100100001
000010010000001=>000100100000010
000001001000001=>000010010000010
100001000100000=>000010001000001
100000101010000=>000001010100001
100000010001000=>000000100010001
000100010000001=>001000100000010
000010101000001=>000101010000010
000001000100001=>000010001000010
100001001000010=>000010010000101
100100110010010=>001001100100101
1010101010101010=>0101010101010101
1010101010101100=>0101010101011001
1010101010110100=>0101010101101001
1010101011001100=>0101010110011001
1010101011010100=>0101010110101001
1010101011100100=>0101010111001001
1010101100101100=>0101011001011001
1010101111000100=>0101011110001001
1010110010101100=>0101100101011001
1010110010110100=>0101100101101001
1010110101011000=>0101101010110001
1010110111000010=>0101101110000101
1010111000101010=>0101110001010101
1010111010100010=>0101110101000101
1010111011000010=>0101110110000101
1010111100010010=>0101111000100101
1010111100100010=>0101111001000101
1010111101000010=>0101111010000101
1010111110000010=>0101111100000101
1010111110010000=>0101111100100001
1010111110100000=>0101111101000001
1010111111000000=>0101111110000001
1011001010101100=>0110010101011001
1011001010110100=>0110010101101001
1011001111100000=>0110011111000001
1011010010101100=>0110100101011001
1011010010110100=>0110100101101001
1011010101011000=>0110101010110001
1011011011010000=>0110110110100001
1011011100001010=>0110111000010101
1011011101001000=>0110111010010001
1011100010101010=>0111000101010101
1011100011110000=>0111000111100001
1011101001101000=>0111010011010001
1011101010001010=>0111010100010101
1011101100001010=>0111011000010101
1011101101000100=>0111011010001001
1011110001001010=>0111100010010101
1011110010001010=>0111100100010101
1011110100001010=>0111101000010101
1011110100100100=>0111101001001001
1011110111000000=>0111101110000001
1011111000001010=>0111110000010101
1011111000001100=>0111110000011001
1011111010100000=>0111110101000001
1011111011000000=>0111110110000001
1011111100000010=>0111111000000101
1011111100010000=>0111111000100001
1011111100100000=>0111111001000001
1011111101000000=>0111111010000001
1011111110000000=>0111111100000001
1100101010101010=>1001010101010101
1100101010101100=>1001010101011001
1100101010110010=>1001010101100101
1100101010110100=>1001010101101001
1100101010111000=>1001010101110001
1100101011001010=>1001010110010101
1100101011010100=>1001010110101001
1100101101010100=>1001011010101001
1100110011001100=>1001100110011001
1100110011101000=>1001100111010001
1100110011110000=>1001100111100001
1100110101010100=>1001101010101001
1100111000101010=>1001110001010101
1100111010001100=>1001110100011001
1100111011001000=>1001110110010001
1100111011100000=>1001110111000001
1100111100001100=>1001111000011001
1100111101010000=>1001111010100001
1100111101100000=>1001111011000001
1100111110000010=>1001111100000101
1100111110000100=>1001111100001001
1100111110001000=>1001111100010001
1100111110010000=>1001111100100001
1100111110100000=>1001111101000001
1100111111000000=>1001111110000001
1101001010101100=>1010010101011001
1101001010110100=>1010010101101001
1101001101101000=>1010011011010001
1101001110100100=>1010011101001001
1101010100101010=>1010101001010101
1101010100101100=>1010101001011001
1101010101001010=>1010101010010101
1101010101001100=>1010101010011001
1101010101010010=>1010101010100101
1101010101010100=>1010101010101001
1101010101011000=>1010101010110001
1101010101100100=>1010101011001001
1101010101101000=>1010101011010001
1101010101110000=>1010101011100001
1101010110010100=>1010101100101001
1101010110101000=>1010101101010001
1101011000101010=>1010110001010101
1101011001010100=>1010110010101001
1101100010101010=>1011000101010101
1101100101010100=>1011001010101001
1101101000110100=>1011010001101001
1101101101000010=>1011011010000101
1101101111000000=>1011011110000001
1101110100100010=>1011101001000101
1101110110100000=>1011101101000001
1101110111000000=>1011101110000001
1101111000001100=>1011110000011001
1101111001100000=>1011110011000001
1101111010010000=>1011110100100001
1101111010100000=>1011110101000001
1101111011000000=>1011110110000001
1101111100001000=>1011111000010001
1101111100010000=>1011111000100001
1101111100100000=>1011111001000001
1101111101000000=>1011111010000001
1101111110000000=>1011111100000001
1110001010101010=>1100010101010101
1110001010101100=>1100010101011001
1110001010110100=>1100010101101001
1110001111000010=>1100011110000101
1110010101001010=>1100101010010101
1110010101010010=>1100101010100101
1110010101010100=>1100101010101001
1110011001010100=>1100110010101001
1110011111000000=>1100111110000001
1110100011001100=>1101000110011001
1110100011101000=>1101000111010001
1110100011110000=>1101000111100001
1110100100110100=>1101001001101001
1110100101010100=>1101001010101001
1110100110100010=>1101001101000101
1110101000101010=>1101010001010101
1110101001010100=>1101010010101001
1110101010001010=>1101010100010101
1110101010001100=>1101010100011001
1110101010100010=>1101010101000101
1110101010100100=>1101010101001001
1110101010101000=>1101010101010001
1110101010110000=>1101010101100001
1110101011001000=>1101010110010001
1110101011010000=>1101010110100001
1110101011100000=>1101010111000001
1110101100101000=>1101011001010001
1110101100110000=>1101011001100001
1110101101001000=>1101011010010001
1110101101010000=>1101011010100001
1110101101100000=>1101011011000001
1110101110001000=>1101011100010001
1110101110010000=>1101011100100001
1110101110100000=>1101011101000001
1110101111000000=>1101011110000001
1110110010001100=>1101100100011001
1110110010101000=>1101100101010001
1110110010110000=>1101100101100001
1110110011001000=>1101100110010001
1110110011010000=>1101100110100001
1110110011100000=>1101100111000001
1110110100010010=>1101101000100101
1110110100101000=>1101101001010001
1110110100110000=>1101101001100001
1110110101001000=>1101101010010001
1110110101010000=>1101101010100001
1110110101100000=>1101101011000001
1110110110001000=>1101101100010001
1110110110010000=>1101101100100001
1110110110100000=>1101101101000001
1110110111000000=>1101101110000001
1110111000001100=>1101110000011001
1110111000101000=>1101110001010001
1110111000110000=>1101110001100001
1110111001001000=>1101110010010001
1110111001010000=>1101110010100001
1110111001100000=>1101110011000001
1110111010001000=>1101110100010001
1110111010010000=>1101110100100001
1110111010100000=>1101110101000001
1110111011000000=>1101110110000001
1110111100000010=>1101111000000101
1110111100000100=>1101111000001001
1110111100001000=>1101111000010001
1110111100010000=>1101111000100001
1110111100100000=>1101111001000001
1110111101000000=>1101111010000001
1110111110000000=>1101111100000001
1111000011001100=>1110000110011001
1111000011101000=>1110000111010001
1111000011110000=>1110000111100001
1111001010101000=>1110010101010001
1111001010110000=>1110010101100001
1111001011001000=>1110010110010001
1111001011010000=>1110010110100001
1111001011100000=>1110010111000001
1111001100101000=>1110011001010001
1111001100110000=>1110011001100001
1111001101001000=>1110011010010001
1111001101010000=>1110011010100001
1111001101100000=>1110011011000001
1111001110001000=>1110011100010001
1111001110010000=>1110011100100001
1111001110100000=>1110011101000001
1111001111000000=>1110011110000001
1111010010010010=>1110100100100101
1111010010101000=>1110100101010001
1111010010110000=>1110100101100001
1111010011001000=>1110100110010001
1111010011010000=>1110100110100001
1111010011100000=>1110100111000001
1111010100001100=>1110101000011001
1111010100101000=>1110101001010001
1111010100110000=>1110101001100001
1111010101001000=>1110101010010001
1111010101010000=>1110101010100001
1111010101100000=>1110101011000001
1111010110000010=>1110101100000101
1111010110001000=>1110101100010001
1111010110010000=>1110101100100001
1111010110100000=>1110101101000001
1111010111000000=>1110101110000001
1111011000001100=>1110110000011001
1111011000101000=>1110110001010001
1111011000110000=>1110110001100001
1111011001001000=>1110110010010001
1111011001010000=>1110110010100001
1111011001100000=>1110110011000001
1111011010000100=>1110110100001001
1111011010001000=>1110110100010001
1111011010010000=>1110110100100001
1111011010100000=>1110110101000001
1111011011000000=>1110110110000001
1111011100000010=>1110111000000101
1111011100000100=>1110111000001001
1111011100001000=>1110111000010001
1111011100010000=>1110111000100001
1111011100100000=>1110111001000001
1111011101000000=>1110111010000001
1111011110000000=>1110111100000001
1111100010001100=>1111000100011001
1111100010101000=>1111000101010001
1111100010110000=>1111000101100001
1111100011000010=>1111000110000101
1111100011001000=>1111000110010001
1111100011010000=>1111000110100001
1111100011100000=>1111000111000001
1111100100001100=>1111001000011001
1111100100101000=>1111001001010001
1111100100110000=>1111001001100001
1111100101001000=>1111001010010001
1111100101010000=>1111001010100001
1111100101100000=>1111001011000001
1111100110000010=>1111001100000101
1111100110000100=>1111001100001001
1111100110001000=>1111001100010001
1111100110010000=>1111001100100001
1111100110100000=>1111001101000001
1111100111000000=>1111001110000001
1111101000001100=>1111010000011001
1111101000101000=>1111010001010001
1111101000110000=>1111010001100001
1111101001000100=>1111010010001001
1111101001001000=>1111010010010001
1111101001010000=>1111010010100001
1111101001100000=>1111010011000001
1111101010000010=>1111010100000101
1111101010000100=>1111010100001001
1111101010001000=>1111010100010001
1111101010010000=>1111010100100001
1111101010100000=>1111010101000001
1111101011000000=>1111010110000001
1111101100000010=>1111011000000101
1111101100000100=>1111011000001001
1111101100001000=>1111011000010001
1111101100010000=>1111011000100001
1111101100100000=>1111011001000001
1111101101000000=>1111011010000001
1111101110000000=>1111011100000001
1111110000001100=>1111100000011001
1111110000011000=>1111100000110001
1111110000100100=>1111100001001001
1111110000101000=>1111100001010001
1111110000110000=>1111100001100001
1111110001000010=>1111100010000101
1111110001000100=>1111100010001001
1111110001001000=>1111100010010001
1111110001010000=>1111100010100001
1111110001100000=>1111100011000001
1111110010000010=>1111100100000101
1111110010000100=>1111100100001001
1111110010001000=>1111100100010001
1111110010010000=>1111100100100001
1111110010100000=>1111100101000001
1111110011000000=>1111100110000001
1111110100000010=>1111101000000101
1111110100000100=>1111101000001001
1111110100001000=>1111101000010001
1111110100010000=>1111101000100001
1111110100100000=>1111101001000001
1111110101000000=>1111101010000001
1111110110000000=>1111101100000001
1111111000000010=>1111110000000101
1111111000000100=>1111110000001001
1111111000001000=>1111110000010001
1111111000010000=>1111110000100001
1111111000100000=>1111110001000001
1111111001000000=>1111110010000001
1111111010000000=>1111110100000001
1111111100000000=>1111111000000001
0000001101111110=>0000011011111100
1000000111111100=>0000001111111001
0000011101111100=>0000111011111000
1000001111111000=>0000011111110001
0000011101111010=>0000111011110100
0000101101111100=>0001011011111000
1000001111110100=>0000011111101001
1000010111111000=>0000101111110001
0000011101110110=>0000111011101100
0000111101111000=>0001111011110000
0001001101111100=>0010011011111000
1000001111101100=>0000011111011001
1000011111110000=>0000111111100001
1000100111111000=>0001001111110001
0000000111111101=>0000001111111010
0100000001111111=>1000000011111110
0000001011111101=>0000010111111010
0100000010111111=>1000000101111110
0000001101111101=>0000011011111010
0000010011111101=>0000100111111010
0100000011011111=>1000000110111110
0100000100111111=>1000001001111110
0000001110111101=>0000011101111010
0000010101111101=>0000101011111010
0000100011111101=>0001000111111010
0100000011101111=>1000000111011110
0100000101011111=>1000001010111110
0100001000111111=>1000010001111110
0111111100000001=>1111111000000010
1111110000000101=>1111100000001011
0111111010000001=>1111110100000010
1111101000000101=>1111010000001011
0111110110000001=>1111101100000010
0111111001000001=>1111110010000010
1111011000000101=>1110110000001011
1111100100000101=>1111001000001011
0111101110000001=>1111011100000010
0111110101000001=>1111101010000010
0111111000100001=>1111110001000010
1110111000000101=>1101110000001011
1111010100000101=>1110101000001011
1111100010000101=>1111000100001011
0101111111000000=>1011111110000000
0101111110100000=>1011111101000000
0101111101100000=>1011111011000000
0101111110010000=>1011111100100000
0101111011100000=>1011110111000000
0101111101010000=>1011111010100000
0101111110001000=>1011111100010000
1110101011010101=>1101010110101011
1010101101010111=>0101011010101111
1110101000010101=>1101010000101011
1010100001010111=>0101000010101111
1110101110010101=>1101011100101011
1110101001110101=>1101010011101011
1010111001010111=>0101110010101111
1010100111010111=>0101001110101111
1110100010010101=>1101000100101011
1110101111110101=>1101011111101011
1110101001000101=>1101010010001011
1010001001010111=>0100010010101111
1010111111010111=>0101111110101111
1010100100010111=>0101001000101111
0011111110000000=>0111111100000000
0111111000000010=>1111110000000100
0011111101000000=>0111111010000000
0111110100000010=>1111101000000100
0011111011000000=>0111110110000000
0011111100100000=>0111111001000000
0111101100000010=>1111011000000100
0111110010000010=>1111100100000100
0011110111000000=>0111101110000000
0011111010100000=>0111110101000000
0011111100010000=>0111111000100000
0111011100000010=>1110111000000100
0111101010000010=>1111010100000100
0111110001000010=>1111100010000100
10000000010000000=>00000000100000001
00000001000000001=>00000010000000010
10000000101000000=>00000001010000001
00000010100000001=>00000101000000010
10000001001000000=>00000010010000001
10000000100100000=>00000001001000001
00000100100000001=>00001001000000010
00000010010000001=>00000100100000010
10010010010010010=>00100100100100101
10001010010100010=>00010100101000101
111111110000000010=>111111100000000101
101111111100000000=>011111111000000001
111111101000000010=>111111010000000101
101111111010000000=>011111110100000001
111111100100000010=>111111001000000101
111111011000000010=>111110110000000101
101111111001000000=>011111110010000001
101111110110000000=>011111101100000001
101010101010101100=>010101010101011001
101010101010110100=>010101010101101001
110010101010101100=>100101010101011001
110010101010110100=>100101010101101001
101100101010101100=>011001010101011001
110100101010101100=>101001010101011001
101100101010110100=>011001010101101001
110100101010110100=>101001010101101001
110101010101010100=>101010101010101001
111000101010101010=>110001010101010101
111001010101010100=>110010101010101001
101110001010101010=>011100010101010101
110110001010101010=>101100010101010101
110110010101010100=>101100101010101001
111010010101010100=>110100101010101001
101011111110000000=>010111111100000001
101111111000000010=>011111110000000101
101100111111000000=>011001111110000001
110011111100000010=>100111111000000101
110010101010101010=>100101010101010101
110101010101011000=>101010101010110001
110101010101101000=>101010101011010001
110101010101100100=>101010101011001001
110010101010110010=>100101010101100101
101011111100000010=>010111111000000101
101111110000001010=>011111100000010101
101011111010000010=>010111110100000101
101111101000001010=>011111010000010101
101011110110000010=>010111101100000101
101011111001000010=>010111110010000101
101111011000001010=>011110110000010101
101111100100001010=>011111001000010101
111111110000000100=>111111100000001001
111111101000000100=>111111010000001001
101010101011001100=>010101010110011001
101010101011100100=>010101010111001001
111111011000000100=>111110110000001001
111111100100000100=>111111001000001001
111001010101010010=>110010101010100101
110011010101010100=>100110101010101001
110101010101001100=>101010101010011001
101101010101011000=>011010101010110001
111111110100000000=>111111101000000001
111111110010000000=>111111100100000001
110111111010000000=>101111110100000001
110111111001000000=>101111110010000001
111010101010101000=>110101010101010001
110101010101010010=>101010101010100101
111010101010100010=>110101010101000101
110101010101001010=>101010101010010101
111010101010001010=>110101010100010101
111010101010100100=>110101010101001001
110111111100000000=>101111111000000001
101111110000001100=>011111100000011001
111111110000001000=>111111100000010001
111011111100000000=>110111111000000001
111111011010000000=>111110110100000001
111110111010000000=>111101110100000001
111111011001000000=>111110110010000001
111110111000000010=>111101110000000101
111111001100000010=>111110011000000101
110011111110000000=>100111111100000001
111111111000000000=>111111110000000001
110011111101000000=>100111111010000001
110011111011000000=>100111110110000001
110011111100100000=>100111111001000001
111111101100000000=>111111011000000001
111111100000001100=>111111000000011001
111111010000001100=>111110100000011001
111110110000001100=>111101100000011001
111111001000001100=>111110010000011001
000000011011111110=>000000110111111100
100000001111111100=>000000011111111001
000000111011111100=>000001110111111000
100000011111111000=>000000111111110001
000000111011111010=>000001110111110100
000001011011111100=>000010110111111000
100000011111110100=>000000111111101001
100000101111111000=>000001011111110001
000000001111111101=>000000011111111010
010000000011111111=>100000000111111110
000000010111111101=>000000101111111010
010000000101111111=>100000001011111110
000000011011111101=>000000110111111010
000000100111111101=>000001001111111010
010000000110111111=>100000001101111110
010000001001111111=>100000010011111110
011111111000000001=>111111110000000010
111111100000000101=>111111000000001011
011111110100000001=>111111101000000010
111111010000000101=>111110100000001011
011111101100000001=>111111011000000010
011111110010000001=>111111100100000010
111110110000000101=>111101100000001011
111111001000000101=>111110010000001011
010111111110000000=>101111111100000000
010111111101000000=>101111111010000000
010111111011000000=>101111110110000000
010111111100100000=>101111111001000000
111010101001010101=>110101010010101011
101010100101010111=>010101001010101111
111010101111010101=>110101011110101011
101010111101010111=>010101111010101111
111010100011010101=>110101000110101011
111010101100010101=>110101011000101011
101010001101010111=>010100011010101111
101010110001010111=>010101100010101111
110111110110000000=>101111101100000001
110111110101000000=>101111101010000001
111111010100000100=>111110101000001001
110111111000100000=>101111110001000001
111110111000000100=>111101110000001001
100100101010010010=>001001010100100101
110111101110000000=>101111011100000001
111111100010000100=>111111000100001001
001111111100000000=>011111111000000000
011111110000000010=>111111100000000100
001111111010000000=>011111110100000000
011111101000000010=>111111010000000100
001111110110000000=>011111101100000000
001111111001000000=>011111110010000000
011111011000000010=>111110110000000100
011111100100000010=>111111001000000100
1000000000100000000=>0000000001000000001
0000000010000000001=>0000000100000000010
1000000001010000000=>0000000010100000001
0000000101000000001=>0000001010000000010
10110110110110100000=>01101101101101000001
10110110111010010000=>01101101110100100001
10110111010011010000=>01101110100110100001
10110111011010001000=>01101110110100010001
10110111101001001000=>01101111010010010001
10111010011011010000=>01110100110110100001
10111010011101001000=>01110100111010010001
10111011010001101000=>01110110100011010001
10111011011010000100=>01110110110100001001
10111011101001000100=>01110111010010001001
10111101001001101000=>01111010010011010001
10111101001101000100=>01111010011010001001
10111101101000100100=>01111011010001001001
10111110100100100100=>01111101001001001001
11010011011011010000=>10100110110110100001
11010011011101001000=>10100110111010010001
11010011101001101000=>10100111010011010001
11010011101101000100=>10100111011010001001
11010011110100100100=>10100111101001001001
11011010001101101000=>10110100011011010001
11011010001110100100=>10110100011101001001
11011011010000110100=>10110110100001101001
11011011011010000010=>10110110110100000101
11011011101001000010=>10110111010010000101
11011101001000110100=>10111010010001101001
11011101001101000010=>10111010011010000101
11011101101000100010=>10111011010001000101
11011110100100100010=>10111101001001000101
11101001001101101000=>11010010011011010001
11101001001110100100=>11010010011101001001
11101001101000110100=>11010011010001101001
11101001101101000010=>11010011011010000101
11101001110100100010=>11010011101001000101
11101101000100110100=>11011010001001101001
11101101000110100010=>11011010001101000101
11101101101000010010=>11011011010000100101
11101110100100010010=>11011101001000100101
11110100100100110100=>11101001001001101001
11110100100110100010=>11101001001101000101
11110100110100010010=>11101001101000100101
11110110100010010010=>11101101000100100101
11111010010010010010=>11110100100100100101
11111111100000000010=>11111111000000000101
10111111111000000000=>01111111110000000001
11111111010000000010=>11111110100000000101
10111111110100000000=>01111111101000000001
10101010101010101100=>01010101010101011001
10101010101010110100=>01010101010101101001
11001010101010101100=>10010101010101011001
11001010101010110100=>10010101010101101001
11010101010101010100=>10101010101010101001
11100010101010101010=>11000101010101010101
11100101010101010100=>11001010101010101001
10101111111100000000=>01011111111000000001
10111111110000000010=>01111111100000000101
11001010101010101010=>10010101010101010101
11010101010101011000=>10101010101010110001
10101111111000000010=>01011111110000000101
10111111100000001010=>01111111000000010101
10101111110100000010=>01011111101000000101
10111111010000001010=>01111110100000010101
11111111100000000100=>11111111000000001001
11111111010000000100=>11111110100000001001
11111111101000000000=>11111111010000000001
11111111100100000000=>11111111001000000001
10111111110010000000=>01111111100100000001
11101010101010101000=>11010101010101010001
11010101010101010010=>10101010101010100101
11101010101010100010=>11010101010101000101
11011111111000000000=>10111111110000000001
11111110110100000000=>11111101101000000001
11111110110000000010=>11111101100000000101
11001111111100000000=>10011111111000000001
11111111110000000000=>11111111100000000001
11001111111010000000=>10011111110100000001
11111111000000001100=>11111110000000011001
11111110100000001100=>11111101000000011001
00000000110111111110=>00000001101111111100
10000000011111111100=>00000000111111111001
00000001110111111100=>00000011101111111000
10000000111111111000=>00000001111111110001
00000000011111111101=>00000000111111111010
01000000000111111111=>10000000001111111110
00000000101111111101=>00000001011111111010
01000000001011111111=>10000000010111111110
01111111110000000001=>11111111100000000010
11111111000000000101=>11111110000000001011
01111111101000000001=>11111111010000000010
11111110100000000101=>11111101000000001011
01011111111100000000=>10111111111000000000
01011111111010000000=>10111111110100000000
11101010101101010101=>11010101011010101011
10101010110101010111=>01010101101010101111
11101010100001010101=>11010101000010101011
10101010000101010111=>01010100001010101111
11011111110100000000=>10111111101000000001
11111110110000000100=>11111101100000001001
11011111110010000000=>10111111100100000001
10010010010010010010=>00100100100100100101
11011111101100000000=>10111111011000000001
11111111001000000100=>11111110010000001001
00111111111000000000=>01111111110000000000
01111111100000000010=>11111111000000000100
00111111110100000000=>01111111101000000000
01111111010000000010=>11111110100000000100
100000000001000000000=>000000000010000000001
000000000100000000001=>000000001000000000010
100100100110010010010=>001001001100100100101
1111111111000000000010=>1111111110000000000101
1011111111110000000000=>0111111111100000000001
1010101010101010101100=>0101010101010101011001
1010101010101010110100=>0101010101010101101001
1101010101010101010100=>1010101010101010101001
1100101010101010101010=>1001010101010101010101
1010111111110000000010=>0101111111100000000101
1011111111000000001010=>0111111110000000010101
1111111111000000000100=>1111111110000000001001
1111111111010000000000=>1111111110100000000001
1111111111001000000000=>1111111110010000000001
1110101010101010101000=>1101010101010101010001
1100111111111000000000=>1001111111110000000001
1111111111100000000000=>1111111111000000000001
1111111110000000001100=>1111111100000000011001
0000000001101111111110=>0000000011011111111100
1000000000111111111100=>0000000001111111111001
0000000000111111111101=>0000000001111111111010
0100000000001111111111=>1000000000011111111110
0111111111100000000001=>1111111111000000000010
1111111110000000000101=>1111111100000000001011
0101111111111000000000=>1011111111110000000000
1110101010100101010101=>1101010101001010101011
1010101010010101010111=>0101010100101010101111
1101111111110000000000=>1011111111100000000001
1101111111101000000000=>1011111111010000000001
1111111110100000000100=>1111111101000000001001
0011111111110000000000=>0111111111100000000000
0111111111000000000010=>1111111110000000000100
10010010010010010010010=>00100100100100100100101
111111010010010010010010=>111110100100100100100101
111110100100100100110100=>111101001001001001101001
111110100100100110100010=>111101001001001101000101
111101001001001110100100=>111010010010011101001001
111101001001001101101000=>111010010010011011010001
111110100100110100010010=>111101001001101000100101
111101001001101000110100=>111010010011010001101001
111101001001110100100010=>111010010011101001000101
111010010011110100100100=>110100100111101001001001
111010010011101001101000=>110100100111010011010001
111101001001101101000010=>111010010011011010000101
111010010011101101000100=>110100100111011010001001
111010010011011101001000=>110100100110111010010001
111010010011011011010000=>110100100110110110100001
111110100110100010010010=>111101001101000100100101
111101001101000100110100=>111010011010001001101001
111101001101000110100010=>111010011010001101000101
111010011010001110100100=>110100110100011101001001
111010011010001101101000=>110100110100011011010001
111101001110100100010010=>111010011101001000100101
111010011101001000110100=>110100111010010001101001
111010011110100100100010=>110100111101001001000101
110100111110100100100100=>101001111101001001001001
110100111101001001101000=>101001111010010011010001
111010011101001101000010=>110100111010011010000101
110100111101001101000100=>101001111010011010001001
110100111010011101001000=>101001110100111010010001
110100111010011011010000=>101001110100110110100001
111101001101101000010010=>111010011011010000100101
111010011011010000110100=>110100110110100001101001
111010011101101000100010=>110100111011010001000101
110100111101101000100100=>101001111011010001001001
110100111011010001101000=>101001110110100011010001
111010011011101001000010=>110100110111010010000101
110100111011101001000100=>101001110111010010001001
110100110111101001001000=>101001101111010010010001
110100110111010011010000=>101001101110100110100001
111010011011011010000010=>110100110110110100000101
110100111011011010000100=>101001110110110100001001
110100110111011010001000=>101001101110110100010001
110100110110111010010000=>101001101101110100100001
110100110110110110100000=>101001101101101101000001
111110110100010010010010=>111101101000100100100101
111101101000100100110100=>111011010001001001101001
111101101000100110100010=>111011010001001101000101
111011010001001110100100=>110110100010011101001001
111011010001001101101000=>110110100010011011010001
111101101000110100010010=>111011010001101000100101
111011010001101000110100=>110110100011010001101001
111011010001110100100010=>110110100011101001000101
110110100011110100100100=>101101000111101001001001
110110100011101001101000=>101101000111010011010001
111011010001101101000010=>110110100011011010000101
110110100011101101000100=>101101000111011010001001
110110100011011101001000=>101101000110111010010001
110110100011011011010000=>101101000110110110100001
111101110100100010010010=>111011101001000100100101
111011101001000100110100=>110111010010001001101001
111011101001000110100010=>110111010010001101000101
110111010010001110100100=>101110100100011101001001
110111010010001101101000=>101110100100011011010001
111011110100100100010010=>110111101001001000100101
110111101001001000110100=>101111010010010001101001
110111110100100100100010=>101111101001001001000101
101111110100100100100100=>011111101001001001001001
101111101001001001101000=>011111010010010011010001
110111101001001101000010=>101111010010011010000101
101111101001001101000100=>011111010010011010001001
101111010010011101001000=>011110100100111010010001
101111010010011011010000=>011110100100110110100001
111011101001101000010010=>110111010011010000100101
110111010011010000110100=>101110100110100001101001
110111101001101000100010=>101111010011010001000101
101111101001101000100100=>011111010011010001001001
101111010011010001101000=>011110100110100011010001
110111010011101001000010=>101110100111010010000101
101111010011101001000100=>011110100111010010001001
101110100111101001001000=>011101001111010010010001
101110100111010011010000=>011101001110100110100001
110111010011011010000010=>101110100110110100000101
101111010011011010000100=>011110100110110100001001
101110100111011010001000=>011101001110110100010001
101110100110111010010000=>011101001101110100100001
101110100110110110100000=>011101001101101101000001
111101101101000010010010=>111011011010000100100101
111011011010000100110100=>110110110100001001101001
111011011010000110100010=>110110110100001101000101
110110110100001110100100=>101101101000011101001001
110110110100001101101000=>101101101000011011010001
111011101101000100010010=>110111011010001000100101
110111011010001000110100=>101110110100010001101001
110111101101000100100010=>101111011010001001000101
101111101101000100100100=>011111011010001001001001
101111011010001001101000=>011110110100010011010001
110111011010001101000010=>101110110100011010000101
101111011010001101000100=>011110110100011010001001
101110110100011101001000=>011101101000111010010001
101110110100011011010000=>011101101000110110100001
111011011101001000010010=>110110111010010000100101
110110111010010000110100=>101101110100100001101001
110111011101001000100010=>101110111010010001000101
101111011101001000100100=>011110111010010001001001
101110111010010001101000=>011101110100100011010001
110110111101001001000010=>101101111010010010000101
101110111101001001000100=>011101111010010010001001
101101111101001001001000=>011011111010010010010001
101101111010010011010000=>011011110100100110100001
110110111010011010000010=>101101110100110100000101
101110111010011010000100=>011101110100110100001001
101101111010011010001000=>011011110100110100010001
101101110100111010010000=>011011101001110100100001
101101110100110110100000=>011011101001101101000001
111011011011010000010010=>110110110110100000100101
110110110110100000110100=>101101101101000001101001
110111011011010000100010=>101110110110100001000101
101111011011010000100100=>011110110110100001001001
101110110110100001101000=>011101101101000011010001
110110111011010001000010=>101101110110100010000101
101110111011010001000100=>011101110110100010001001
101101111011010001001000=>011011110110100010010001
101101110110100011010000=>011011101101000110100001
110110110111010010000010=>101101101110100100000101
101110110111010010000100=>011101101110100100001001
101101110111010010001000=>011011101110100100010001
101101101111010010010000=>011011011110100100100001
101101101110100110100000=>011011011101001101000001
110110110110110100000010=>101101101101101000000101
101110110110110100000100=>011101101101101000001001
101101110110110100001000=>011011101101101000010001
101101101110110100010000=>011011011101101000100001
101101101101110100100000=>011011011011101001000001
101101101101101101000000=>011011011011011010000001
100001001001001001000010=>000010010010010010000101
110111111111100000000000=>101111111111000000000001
111111111110000000000100=>111111111100000000001001
1000000100001001000010010000100000010=>0000001000010010000100100001000000101
Description
The rotation of a binary word, first letter last.
This is the word obtained by moving the first letter to the end.
This is the word obtained by moving the first letter to the end.
Properties
bijective, graded
Sage code
def mapping(w): return Word([int(l) for l in w[1:]] + [int(w[0])], [0,1])
Created
Jan 29, 2020 at 13:27 by FindStatCrew
Updated
Jan 29, 2020 at 13:27 by Martin Rubey
searching the database
Sorry, this map was not found in the database.