Identifier
Images
=>
=>
0=>0
1=>1
00=>01
01=>00
10=>11
11=>10
000=>010
001=>011
010=>000
011=>001
100=>110
101=>111
110=>100
111=>101
0000=>0101
0001=>0100
0010=>0111
0011=>0110
0100=>0001
0101=>0000
0110=>0011
0111=>0010
1000=>1101
1001=>1100
1010=>1111
1011=>1110
1100=>1001
1101=>1000
1110=>1011
1111=>1010
00000=>01010
00001=>01011
00010=>01000
00011=>01001
00100=>01110
00101=>01111
00110=>01100
00111=>01101
01000=>00010
01001=>00011
01010=>00000
01011=>00001
01100=>00110
01101=>00111
01110=>00100
01111=>00101
10000=>11010
10001=>11011
10010=>11000
10011=>11001
10100=>11110
10101=>11111
10110=>11100
10111=>11101
11000=>10010
11001=>10011
11010=>10000
11011=>10001
11100=>10110
11101=>10111
11110=>10100
11111=>10101
000000=>010101
000001=>010100
000010=>010111
000011=>010110
000100=>010001
000101=>010000
000110=>010011
000111=>010010
001000=>011101
001001=>011100
001010=>011111
001011=>011110
001100=>011001
001101=>011000
001110=>011011
001111=>011010
010000=>000101
010001=>000100
010010=>000111
010011=>000110
010100=>000001
010101=>000000
010110=>000011
010111=>000010
011000=>001101
011001=>001100
011010=>001111
011011=>001110
011100=>001001
011101=>001000
011110=>001011
011111=>001010
100000=>110101
100001=>110100
100010=>110111
100011=>110110
100100=>110001
100101=>110000
100110=>110011
100111=>110010
101000=>111101
101001=>111100
101010=>111111
101011=>111110
101100=>111001
101101=>111000
101110=>111011
101111=>111010
110000=>100101
110001=>100100
110010=>100111
110011=>100110
110100=>100001
110101=>100000
110110=>100011
110111=>100010
111000=>101101
111001=>101100
111010=>101111
111011=>101110
111100=>101001
111101=>101000
111110=>101011
111111=>101010
0000000=>0101010
0000001=>0101011
0000010=>0101000
0000011=>0101001
0000100=>0101110
0000101=>0101111
0000110=>0101100
0000111=>0101101
0001000=>0100010
0001001=>0100011
0001010=>0100000
0001011=>0100001
0001100=>0100110
0001101=>0100111
0001110=>0100100
0001111=>0100101
0010000=>0111010
0010001=>0111011
0010010=>0111000
0010011=>0111001
0010100=>0111110
0010101=>0111111
0010110=>0111100
0010111=>0111101
0011000=>0110010
0011001=>0110011
0011010=>0110000
0011011=>0110001
0011100=>0110110
0011101=>0110111
0011110=>0110100
0011111=>0110101
0100000=>0001010
0100001=>0001011
0100010=>0001000
0100011=>0001001
0100100=>0001110
0100101=>0001111
0100110=>0001100
0100111=>0001101
0101000=>0000010
0101001=>0000011
0101010=>0000000
0101011=>0000001
0101100=>0000110
0101101=>0000111
0101110=>0000100
0101111=>0000101
0110000=>0011010
0110001=>0011011
0110010=>0011000
0110011=>0011001
0110100=>0011110
0110101=>0011111
0110110=>0011100
0110111=>0011101
0111000=>0010010
0111001=>0010011
0111010=>0010000
0111011=>0010001
0111100=>0010110
0111101=>0010111
0111110=>0010100
0111111=>0010101
1000000=>1101010
1000001=>1101011
1000010=>1101000
1000011=>1101001
1000100=>1101110
1000101=>1101111
1000110=>1101100
1000111=>1101101
1001000=>1100010
1001001=>1100011
1001010=>1100000
1001011=>1100001
1001100=>1100110
1001101=>1100111
1001110=>1100100
1001111=>1100101
1010000=>1111010
1010001=>1111011
1010010=>1111000
1010011=>1111001
1010100=>1111110
1010101=>1111111
1010110=>1111100
1010111=>1111101
1011000=>1110010
1011001=>1110011
1011010=>1110000
1011011=>1110001
1011100=>1110110
1011101=>1110111
1011110=>1110100
1011111=>1110101
1100000=>1001010
1100001=>1001011
1100010=>1001000
1100011=>1001001
1100100=>1001110
1100101=>1001111
1100110=>1001100
1100111=>1001101
1101000=>1000010
1101001=>1000011
1101010=>1000000
1101011=>1000001
1101100=>1000110
1101101=>1000111
1101110=>1000100
1101111=>1000101
1110000=>1011010
1110001=>1011011
1110010=>1011000
1110011=>1011001
1110100=>1011110
1110101=>1011111
1110110=>1011100
1110111=>1011101
1111000=>1010010
1111001=>1010011
1111010=>1010000
1111011=>1010001
1111100=>1010110
1111101=>1010111
1111110=>1010100
1111111=>1010101
00000000=>01010101
00000001=>01010100
00000010=>01010111
00000011=>01010110
00000100=>01010001
00000101=>01010000
00000110=>01010011
00000111=>01010010
00001000=>01011101
00001001=>01011100
00001010=>01011111
00001011=>01011110
00001100=>01011001
00001101=>01011000
00001110=>01011011
00001111=>01011010
00010000=>01000101
00010001=>01000100
00010010=>01000111
00010011=>01000110
00010100=>01000001
00010101=>01000000
00010110=>01000011
00010111=>01000010
00011000=>01001101
00011001=>01001100
00011010=>01001111
00011011=>01001110
00011100=>01001001
00011101=>01001000
00011110=>01001011
00011111=>01001010
00100000=>01110101
00100001=>01110100
00100010=>01110111
00100011=>01110110
00100100=>01110001
00100101=>01110000
00100110=>01110011
00100111=>01110010
00101000=>01111101
00101001=>01111100
00101010=>01111111
00101011=>01111110
00101100=>01111001
00101101=>01111000
00101110=>01111011
00101111=>01111010
00110000=>01100101
00110001=>01100100
00110010=>01100111
00110011=>01100110
00110100=>01100001
00110101=>01100000
00110110=>01100011
00110111=>01100010
00111000=>01101101
00111001=>01101100
00111010=>01101111
00111011=>01101110
00111100=>01101001
00111101=>01101000
00111110=>01101011
00111111=>01101010
01000000=>00010101
01000001=>00010100
01000010=>00010111
01000011=>00010110
01000100=>00010001
01000101=>00010000
01000110=>00010011
01000111=>00010010
01001000=>00011101
01001001=>00011100
01001010=>00011111
01001011=>00011110
01001100=>00011001
01001101=>00011000
01001110=>00011011
01001111=>00011010
01010000=>00000101
01010001=>00000100
01010010=>00000111
01010011=>00000110
01010100=>00000001
01010101=>00000000
01010110=>00000011
01010111=>00000010
01011000=>00001101
01011001=>00001100
01011010=>00001111
01011011=>00001110
01011100=>00001001
01011101=>00001000
01011110=>00001011
01011111=>00001010
01100000=>00110101
01100001=>00110100
01100010=>00110111
01100011=>00110110
01100100=>00110001
01100101=>00110000
01100110=>00110011
01100111=>00110010
01101000=>00111101
01101001=>00111100
01101010=>00111111
01101011=>00111110
01101100=>00111001
01101101=>00111000
01101110=>00111011
01101111=>00111010
01110000=>00100101
01110001=>00100100
01110010=>00100111
01110011=>00100110
01110100=>00100001
01110101=>00100000
01110110=>00100011
01110111=>00100010
01111000=>00101101
01111001=>00101100
01111010=>00101111
01111011=>00101110
01111100=>00101001
01111101=>00101000
01111110=>00101011
01111111=>00101010
10000000=>11010101
10000001=>11010100
10000010=>11010111
10000011=>11010110
10000100=>11010001
10000101=>11010000
10000110=>11010011
10000111=>11010010
10001000=>11011101
10001001=>11011100
10001010=>11011111
10001011=>11011110
10001100=>11011001
10001101=>11011000
10001110=>11011011
10001111=>11011010
10010000=>11000101
10010001=>11000100
10010010=>11000111
10010011=>11000110
10010100=>11000001
10010101=>11000000
10010110=>11000011
10010111=>11000010
10011000=>11001101
10011001=>11001100
10011010=>11001111
10011011=>11001110
10011100=>11001001
10011101=>11001000
10011110=>11001011
10011111=>11001010
10100000=>11110101
10100001=>11110100
10100010=>11110111
10100011=>11110110
10100100=>11110001
10100101=>11110000
10100110=>11110011
10100111=>11110010
10101000=>11111101
10101001=>11111100
10101010=>11111111
10101011=>11111110
10101100=>11111001
10101101=>11111000
10101110=>11111011
10101111=>11111010
10110000=>11100101
10110001=>11100100
10110010=>11100111
10110011=>11100110
10110100=>11100001
10110101=>11100000
10110110=>11100011
10110111=>11100010
10111000=>11101101
10111001=>11101100
10111010=>11101111
10111011=>11101110
10111100=>11101001
10111101=>11101000
10111110=>11101011
10111111=>11101010
11000000=>10010101
11000001=>10010100
11000010=>10010111
11000011=>10010110
11000100=>10010001
11000101=>10010000
11000110=>10010011
11000111=>10010010
11001000=>10011101
11001001=>10011100
11001010=>10011111
11001011=>10011110
11001100=>10011001
11001101=>10011000
11001110=>10011011
11001111=>10011010
11010000=>10000101
11010001=>10000100
11010010=>10000111
11010011=>10000110
11010100=>10000001
11010101=>10000000
11010110=>10000011
11010111=>10000010
11011000=>10001101
11011001=>10001100
11011010=>10001111
11011011=>10001110
11011100=>10001001
11011101=>10001000
11011110=>10001011
11011111=>10001010
11100000=>10110101
11100001=>10110100
11100010=>10110111
11100011=>10110110
11100100=>10110001
11100101=>10110000
11100110=>10110011
11100111=>10110010
11101000=>10111101
11101001=>10111100
11101010=>10111111
11101011=>10111110
11101100=>10111001
11101101=>10111000
11101110=>10111011
11101111=>10111010
11110000=>10100101
11110001=>10100100
11110010=>10100111
11110011=>10100110
11110100=>10100001
11110101=>10100000
11110110=>10100011
11110111=>10100010
11111000=>10101101
11111001=>10101100
11111010=>10101111
11111011=>10101110
11111100=>10101001
11111101=>10101000
11111110=>10101011
11111111=>10101010
000000000=>010101010
000000001=>010101011
000000010=>010101000
000000011=>010101001
000000100=>010101110
000000101=>010101111
000000110=>010101100
000000111=>010101101
000001000=>010100010
000001001=>010100011
000001010=>010100000
000001011=>010100001
000001100=>010100110
000001101=>010100111
000001110=>010100100
000001111=>010100101
000010000=>010111010
000010001=>010111011
000010010=>010111000
000010011=>010111001
000010100=>010111110
000010101=>010111111
000010110=>010111100
000010111=>010111101
000011000=>010110010
000011001=>010110011
000011010=>010110000
000011011=>010110001
000011100=>010110110
000011101=>010110111
000011110=>010110100
000011111=>010110101
000100000=>010001010
000100001=>010001011
000100010=>010001000
000100011=>010001001
000100100=>010001110
000100101=>010001111
000100110=>010001100
000100111=>010001101
000101000=>010000010
000101001=>010000011
000101010=>010000000
000101011=>010000001
000101100=>010000110
000101101=>010000111
000101110=>010000100
000101111=>010000101
000110000=>010011010
000110001=>010011011
000110010=>010011000
000110011=>010011001
000110100=>010011110
000110101=>010011111
000110110=>010011100
000110111=>010011101
000111000=>010010010
000111001=>010010011
000111010=>010010000
000111011=>010010001
000111100=>010010110
000111101=>010010111
000111110=>010010100
000111111=>010010101
001000000=>011101010
001000001=>011101011
001000010=>011101000
001000011=>011101001
001000100=>011101110
001000101=>011101111
001000110=>011101100
001000111=>011101101
001001000=>011100010
001001001=>011100011
001001010=>011100000
001001011=>011100001
001001100=>011100110
001001101=>011100111
001001110=>011100100
001001111=>011100101
001010000=>011111010
001010001=>011111011
001010010=>011111000
001010011=>011111001
001010100=>011111110
001010101=>011111111
001010110=>011111100
001010111=>011111101
001011000=>011110010
001011001=>011110011
001011010=>011110000
001011011=>011110001
001011100=>011110110
001011101=>011110111
001011110=>011110100
001011111=>011110101
001100000=>011001010
001100001=>011001011
001100010=>011001000
001100011=>011001001
001100100=>011001110
001100101=>011001111
001100110=>011001100
001100111=>011001101
001101000=>011000010
001101001=>011000011
001101010=>011000000
001101011=>011000001
001101100=>011000110
001101101=>011000111
001101110=>011000100
001101111=>011000101
001110000=>011011010
001110001=>011011011
001110010=>011011000
001110011=>011011001
001110100=>011011110
001110101=>011011111
001110110=>011011100
001110111=>011011101
001111000=>011010010
001111001=>011010011
001111010=>011010000
001111011=>011010001
001111100=>011010110
001111101=>011010111
001111110=>011010100
001111111=>011010101
010000000=>000101010
010000001=>000101011
010000010=>000101000
010000011=>000101001
010000100=>000101110
010000101=>000101111
010000110=>000101100
010000111=>000101101
010001000=>000100010
010001001=>000100011
010001010=>000100000
010001011=>000100001
010001100=>000100110
010001101=>000100111
010001110=>000100100
010001111=>000100101
010010000=>000111010
010010001=>000111011
010010010=>000111000
010010011=>000111001
010010100=>000111110
010010101=>000111111
010010110=>000111100
010010111=>000111101
010011000=>000110010
010011001=>000110011
010011010=>000110000
010011011=>000110001
010011100=>000110110
010011101=>000110111
010011110=>000110100
010011111=>000110101
010100000=>000001010
010100001=>000001011
010100010=>000001000
010100011=>000001001
010100100=>000001110
010100101=>000001111
010100110=>000001100
010100111=>000001101
010101000=>000000010
010101001=>000000011
010101010=>000000000
010101011=>000000001
010101100=>000000110
010101101=>000000111
010101110=>000000100
010101111=>000000101
010110000=>000011010
010110001=>000011011
010110010=>000011000
010110011=>000011001
010110100=>000011110
010110101=>000011111
010110110=>000011100
010110111=>000011101
010111000=>000010010
010111001=>000010011
010111010=>000010000
010111011=>000010001
010111100=>000010110
010111101=>000010111
010111110=>000010100
010111111=>000010101
011000000=>001101010
011000001=>001101011
011000010=>001101000
011000011=>001101001
011000100=>001101110
011000101=>001101111
011000110=>001101100
011000111=>001101101
011001000=>001100010
011001001=>001100011
011001010=>001100000
011001011=>001100001
011001100=>001100110
011001101=>001100111
011001110=>001100100
011001111=>001100101
011010000=>001111010
011010001=>001111011
011010010=>001111000
011010011=>001111001
011010100=>001111110
011010101=>001111111
011010110=>001111100
011010111=>001111101
011011000=>001110010
011011001=>001110011
011011010=>001110000
011011011=>001110001
011011100=>001110110
011011101=>001110111
011011110=>001110100
011011111=>001110101
011100000=>001001010
011100001=>001001011
011100010=>001001000
011100011=>001001001
011100100=>001001110
011100101=>001001111
011100110=>001001100
011100111=>001001101
011101000=>001000010
011101001=>001000011
011101010=>001000000
011101011=>001000001
011101100=>001000110
011101101=>001000111
011101110=>001000100
011101111=>001000101
011110000=>001011010
011110001=>001011011
011110010=>001011000
011110011=>001011001
011110100=>001011110
011110101=>001011111
011110110=>001011100
011110111=>001011101
011111000=>001010010
011111001=>001010011
011111010=>001010000
011111011=>001010001
011111100=>001010110
011111101=>001010111
011111110=>001010100
011111111=>001010101
100000000=>110101010
100000001=>110101011
100000010=>110101000
100000011=>110101001
100000100=>110101110
100000101=>110101111
100000110=>110101100
100000111=>110101101
100001000=>110100010
100001001=>110100011
100001010=>110100000
100001011=>110100001
100001100=>110100110
100001101=>110100111
100001110=>110100100
100001111=>110100101
100010000=>110111010
100010001=>110111011
100010010=>110111000
100010011=>110111001
100010100=>110111110
100010101=>110111111
100010110=>110111100
100010111=>110111101
100011000=>110110010
100011001=>110110011
100011010=>110110000
100011011=>110110001
100011100=>110110110
100011101=>110110111
100011110=>110110100
100011111=>110110101
100100000=>110001010
100100001=>110001011
100100010=>110001000
100100011=>110001001
100100100=>110001110
100100101=>110001111
100100110=>110001100
100100111=>110001101
100101000=>110000010
100101001=>110000011
100101010=>110000000
100101011=>110000001
100101100=>110000110
100101101=>110000111
100101110=>110000100
100101111=>110000101
100110000=>110011010
100110001=>110011011
100110010=>110011000
100110011=>110011001
100110100=>110011110
100110101=>110011111
100110110=>110011100
100110111=>110011101
100111000=>110010010
100111001=>110010011
100111010=>110010000
100111011=>110010001
100111100=>110010110
100111101=>110010111
100111110=>110010100
100111111=>110010101
101000000=>111101010
101000001=>111101011
101000010=>111101000
101000011=>111101001
101000100=>111101110
101000101=>111101111
101000110=>111101100
101000111=>111101101
101001000=>111100010
101001001=>111100011
101001010=>111100000
101001011=>111100001
101001100=>111100110
101001101=>111100111
101001110=>111100100
101001111=>111100101
101010000=>111111010
101010001=>111111011
101010010=>111111000
101010011=>111111001
101010100=>111111110
101010101=>111111111
101010110=>111111100
101010111=>111111101
101011000=>111110010
101011001=>111110011
101011010=>111110000
101011011=>111110001
101011100=>111110110
101011101=>111110111
101011110=>111110100
101011111=>111110101
101100000=>111001010
101100001=>111001011
101100010=>111001000
101100011=>111001001
101100100=>111001110
101100101=>111001111
101100110=>111001100
101100111=>111001101
101101000=>111000010
101101001=>111000011
101101010=>111000000
101101011=>111000001
101101100=>111000110
101101101=>111000111
101101110=>111000100
101101111=>111000101
101110000=>111011010
101110001=>111011011
101110010=>111011000
101110011=>111011001
101110100=>111011110
101110101=>111011111
101110110=>111011100
101110111=>111011101
101111000=>111010010
101111001=>111010011
101111010=>111010000
101111011=>111010001
101111100=>111010110
101111101=>111010111
101111110=>111010100
101111111=>111010101
110000000=>100101010
110000001=>100101011
110000010=>100101000
110000011=>100101001
110000100=>100101110
110000101=>100101111
110000110=>100101100
110000111=>100101101
110001000=>100100010
110001001=>100100011
110001010=>100100000
110001011=>100100001
110001100=>100100110
110001101=>100100111
110001110=>100100100
110001111=>100100101
110010000=>100111010
110010001=>100111011
110010010=>100111000
110010011=>100111001
110010100=>100111110
110010101=>100111111
110010110=>100111100
110010111=>100111101
110011000=>100110010
110011001=>100110011
110011010=>100110000
110011011=>100110001
110011100=>100110110
110011101=>100110111
110011110=>100110100
110011111=>100110101
110100000=>100001010
110100001=>100001011
110100010=>100001000
110100011=>100001001
110100100=>100001110
110100101=>100001111
110100110=>100001100
110100111=>100001101
110101000=>100000010
110101001=>100000011
110101010=>100000000
110101011=>100000001
110101100=>100000110
110101101=>100000111
110101110=>100000100
110101111=>100000101
110110000=>100011010
110110001=>100011011
110110010=>100011000
110110011=>100011001
110110100=>100011110
110110101=>100011111
110110110=>100011100
110110111=>100011101
110111000=>100010010
110111001=>100010011
110111010=>100010000
110111011=>100010001
110111100=>100010110
110111101=>100010111
110111110=>100010100
110111111=>100010101
111000000=>101101010
111000001=>101101011
111000010=>101101000
111000011=>101101001
111000100=>101101110
111000101=>101101111
111000110=>101101100
111000111=>101101101
111001000=>101100010
111001001=>101100011
111001010=>101100000
111001011=>101100001
111001100=>101100110
111001101=>101100111
111001110=>101100100
111001111=>101100101
111010000=>101111010
111010001=>101111011
111010010=>101111000
111010011=>101111001
111010100=>101111110
111010101=>101111111
111010110=>101111100
111010111=>101111101
111011000=>101110010
111011001=>101110011
111011010=>101110000
111011011=>101110001
111011100=>101110110
111011101=>101110111
111011110=>101110100
111011111=>101110101
111100000=>101001010
111100001=>101001011
111100010=>101001000
111100011=>101001001
111100100=>101001110
111100101=>101001111
111100110=>101001100
111100111=>101001101
111101000=>101000010
111101001=>101000011
111101010=>101000000
111101011=>101000001
111101100=>101000110
111101101=>101000111
111101110=>101000100
111101111=>101000101
111110000=>101011010
111110001=>101011011
111110010=>101011000
111110011=>101011001
111110100=>101011110
111110101=>101011111
111110110=>101011100
111110111=>101011101
111111000=>101010010
111111001=>101010011
111111010=>101010000
111111011=>101010001
111111100=>101010110
111111101=>101010111
111111110=>101010100
111111111=>101010101
1010101010=>1111111111
1010101100=>1111111001
1010110010=>1111100111
1010110100=>1111100001
1010111000=>1111101101
1011001010=>1110011111
1011001100=>1110011001
1011010010=>1110000111
1011010100=>1110000001
1011011000=>1110001101
1011100010=>1110110111
1011100100=>1110110001
1011101000=>1110111101
1011110000=>1110100101
1100101010=>1001111111
1100101100=>1001111001
1100110010=>1001100111
1100110100=>1001100001
1100111000=>1001101101
1101001010=>1000011111
1101001100=>1000011001
1101010010=>1000000111
1101010100=>1000000001
1101011000=>1000001101
1101100010=>1000110111
1101100100=>1000110001
1101101000=>1000111101
1101110000=>1000100101
1110001010=>1011011111
1110001100=>1011011001
1110010010=>1011000111
1110010100=>1011000001
1110011000=>1011001101
1110100010=>1011110111
1110100100=>1011110001
1110101000=>1011111101
1110110000=>1011100101
1111000010=>1010010111
1111000100=>1010010001
1111001000=>1010011101
1111010000=>1010000101
1111100000=>1010110101
1111111111=>1010101010
1111111110=>1010101011
1111111101=>1010101000
1111111100=>1010101001
1111111011=>1010101110
1111111010=>1010101111
1111111000=>1010101101
1111110111=>1010100010
1111110110=>1010100011
1111110101=>1010100000
1111110100=>1010100001
1111110011=>1010100110
1111110010=>1010100111
1111110001=>1010100100
1111110000=>1010100101
1111101111=>1010111010
1111101110=>1010111011
1111101100=>1010111001
1111101011=>1010111110
1111101010=>1010111111
1111101001=>1010111100
1111101000=>1010111101
1111100111=>1010110010
1111100110=>1010110011
1111100100=>1010110001
1111100011=>1010110110
1111100010=>1010110111
1111100001=>1010110100
1111011111=>1010001010
1111011110=>1010001011
1111011101=>1010001000
1111011100=>1010001001
1111011011=>1010001110
1111011010=>1010001111
1111011001=>1010001100
1111011000=>1010001101
1111010111=>1010000010
1111010110=>1010000011
1111010101=>1010000000
1111010100=>1010000001
1111010011=>1010000110
1111010010=>1010000111
1111010001=>1010000100
1111001111=>1010011010
1111001110=>1010011011
1111001100=>1010011001
1111001011=>1010011110
1111001010=>1010011111
1111001001=>1010011100
1111000111=>1010010010
1111000110=>1010010011
1111000101=>1010010000
1111000011=>1010010110
1111000001=>1010010100
1111000000=>1010010101
1110111111=>1011101010
1110111110=>1011101011
1110111101=>1011101000
1110111100=>1011101001
1110111011=>1011101110
1110111010=>1011101111
1110111000=>1011101101
1110110110=>1011100011
1110110101=>1011100000
1110110100=>1011100001
1110110010=>1011100111
1110110001=>1011100100
1110101111=>1011111010
1110101101=>1011111000
1110101100=>1011111001
1110101011=>1011111110
1110101010=>1011111111
1110101001=>1011111100
1110100110=>1011110011
1110100101=>1011110000
1110100011=>1011110110
1110100001=>1011110100
1110100000=>1011110101
1110011111=>1011001010
1110011110=>1011001011
1110011100=>1011001001
1110011010=>1011001111
1110011001=>1011001100
1110010111=>1011000010
1110010110=>1011000011
1110010101=>1011000000
1110010011=>1011000110
1110010001=>1011000100
1110010000=>1011000101
1110001110=>1011011011
1110001101=>1011011000
1110001011=>1011011110
1110001001=>1011011100
1110001000=>1011011101
1110000111=>1011010010
1110000110=>1011010011
1110000101=>1011010000
1110000100=>1011010001
1110000011=>1011010110
1110000010=>1011010111
1110000001=>1011010100
1110000000=>1011010101
1101111111=>1000101010
1101111110=>1000101011
1101111101=>1000101000
1101111011=>1000101110
1101111010=>1000101111
1101111001=>1000101100
1101111000=>1000101101
1101110111=>1000100010
1101110110=>1000100011
1101110010=>1000100111
1101110001=>1000100100
1101101111=>1000111010
1101101110=>1000111011
1101101100=>1000111001
1101101011=>1000111110
1101101010=>1000111111
1101101001=>1000111100
1101100110=>1000110011
1101100101=>1000110000
1101100011=>1000110110
1101100001=>1000110100
1101100000=>1000110101
1101011111=>1000001010
1101011110=>1000001011
1101011011=>1000001110
1101011010=>1000001111
1101011001=>1000001100
1101010111=>1000000010
1101010110=>1000000011
1101010101=>1000000000
1101010011=>1000000110
1101010001=>1000000100
1101010000=>1000000101
1101001111=>1000011010
1101001110=>1000011011
1101001101=>1000011000
1101001011=>1000011110
1101001001=>1000011100
1101001000=>1000011101
1101000111=>1000010010
1101000110=>1000010011
1101000101=>1000010000
1101000100=>1000010001
1101000011=>1000010110
1101000010=>1000010111
1101000001=>1000010100
1101000000=>1000010101
1100111111=>1001101010
1100111110=>1001101011
1100111101=>1001101000
1100111100=>1001101001
1100111010=>1001101111
1100111001=>1001101100
1100110111=>1001100010
1100110110=>1001100011
1100110101=>1001100000
1100110011=>1001100110
1100110001=>1001100100
1100110000=>1001100101
1100101110=>1001111011
1100101101=>1001111000
1100101011=>1001111110
1100101001=>1001111100
1100101000=>1001111101
1100100111=>1001110010
1100100110=>1001110011
1100100101=>1001110000
1100100100=>1001110001
1100100011=>1001110110
1100100010=>1001110111
1100100001=>1001110100
1100100000=>1001110101
1100011111=>1001001010
1100011110=>1001001011
1100011101=>1001001000
1100011100=>1001001001
1100011011=>1001001110
1100011010=>1001001111
1100011001=>1001001100
1100011000=>1001001101
1100010111=>1001000010
1100010110=>1001000011
1100010101=>1001000000
1100010100=>1001000001
1100010011=>1001000110
1100010010=>1001000111
1100010001=>1001000100
1100010000=>1001000101
1100001111=>1001011010
1100001110=>1001011011
1100001101=>1001011000
1100001100=>1001011001
1100001011=>1001011110
1100001010=>1001011111
1100001001=>1001011100
1100001000=>1001011101
1100000111=>1001010010
1100000110=>1001010011
1100000101=>1001010000
1100000100=>1001010001
1100000011=>1001010110
1100000010=>1001010111
1100000001=>1001010100
1100000000=>1001010101
1011111111=>1110101010
1011111110=>1110101011
1011111101=>1110101000
1011111100=>1110101001
1011111011=>1110101110
1011111010=>1110101111
1011111001=>1110101100
1011111000=>1110101101
1011110111=>1110100010
1011110110=>1110100011
1011110100=>1110100001
1011110010=>1110100111
1011110001=>1110100100
1011101111=>1110111010
1011101110=>1110111011
1011101100=>1110111001
1011101010=>1110111111
1011101001=>1110111100
1011100110=>1110110011
1011100101=>1110110000
1011100011=>1110110110
1011100001=>1110110100
1011100000=>1110110101
1011011111=>1110001010
1011011110=>1110001011
1011011100=>1110001001
1011011001=>1110001100
1011010111=>1110000010
1011010110=>1110000011
1011010101=>1110000000
1011010011=>1110000110
1011010001=>1110000100
1011010000=>1110000101
1011001110=>1110011011
1011001101=>1110011000
1011001011=>1110011110
1011001001=>1110011100
1011001000=>1110011101
1011000111=>1110010010
1011000110=>1110010011
1011000101=>1110010000
1011000100=>1110010001
1011000011=>1110010110
1011000010=>1110010111
1011000001=>1110010100
1011000000=>1110010101
1010111111=>1111101010
1010111110=>1111101011
1010111100=>1111101001
1010111010=>1111101111
1010111001=>1111101100
1010110111=>1111100010
1010110110=>1111100011
1010110101=>1111100000
1010110011=>1111100110
1010110001=>1111100100
1010110000=>1111100101
1010101111=>1111111010
1010101110=>1111111011
1010101101=>1111111000
1010101011=>1111111110
1010101001=>1111111100
1010101000=>1111111101
1010100111=>1111110010
1010100110=>1111110011
1010100101=>1111110000
1010100100=>1111110001
1010100011=>1111110110
1010100010=>1111110111
1010100001=>1111110100
1010100000=>1111110101
1010011111=>1111001010
1010011110=>1111001011
1010011101=>1111001000
1010011100=>1111001001
1010011011=>1111001110
1010011010=>1111001111
1010011001=>1111001100
1010011000=>1111001101
1010010111=>1111000010
1010010110=>1111000011
1010010101=>1111000000
1010010100=>1111000001
1010010011=>1111000110
1010010010=>1111000111
1010010001=>1111000100
1010010000=>1111000101
1010001111=>1111011010
1010001110=>1111011011
1010001101=>1111011000
1010001100=>1111011001
1010001011=>1111011110
1010001010=>1111011111
1010001001=>1111011100
1010001000=>1111011101
1010000111=>1111010010
1010000110=>1111010011
1010000101=>1111010000
1010000100=>1111010001
1010000011=>1111010110
1010000010=>1111010111
1010000001=>1111010100
1010000000=>1111010101
1001111111=>1100101010
1001111110=>1100101011
1001111101=>1100101000
1001111100=>1100101001
1001111011=>1100101110
1001111010=>1100101111
1001111000=>1100101101
1001110111=>1100100010
1001110110=>1100100011
1001110101=>1100100000
1001110100=>1100100001
1001110011=>1100100110
1001110010=>1100100111
1001110001=>1100100100
1001110000=>1100100101
1001101110=>1100111011
1001101100=>1100111001
1001101011=>1100111110
1001101010=>1100111111
1001101001=>1100111100
1001101000=>1100111101
1001100111=>1100110010
1001100110=>1100110011
1001100101=>1100110000
1001100100=>1100110001
1001100011=>1100110110
1001100010=>1100110111
1001100000=>1100110101
1001011111=>1100001010
1001011110=>1100001011
1001011101=>1100001000
1001011100=>1100001001
1001011011=>1100001110
1001011010=>1100001111
1001011001=>1100001100
1001011000=>1100001101
1001010111=>1100000010
1001010110=>1100000011
1001010101=>1100000000
1001010100=>1100000001
1001010011=>1100000110
1001010010=>1100000111
1001010001=>1100000100
1001010000=>1100000101
1001001111=>1100011010
1001001110=>1100011011
1001001101=>1100011000
1001001100=>1100011001
1001001011=>1100011110
1001001010=>1100011111
1001001001=>1100011100
1001001000=>1100011101
1001000111=>1100010010
1001000110=>1100010011
1001000101=>1100010000
1001000100=>1100010001
1001000010=>1100010111
1001000001=>1100010100
1001000000=>1100010101
1000111111=>1101101010
1000111110=>1101101011
1000111101=>1101101000
1000111100=>1101101001
1000111011=>1101101110
1000111010=>1101101111
1000111001=>1101101100
1000111000=>1101101101
1000110111=>1101100010
1000110110=>1101100011
1000110101=>1101100000
1000110100=>1101100001
1000110011=>1101100110
1000110010=>1101100111
1000110001=>1101100100
1000110000=>1101100101
1000101111=>1101111010
1000101110=>1101111011
1000101101=>1101111000
1000101100=>1101111001
1000101011=>1101111110
1000101010=>1101111111
1000101000=>1101111101
1000100111=>1101110010
1000100110=>1101110011
1000100101=>1101110000
1000100100=>1101110001
1000100011=>1101110110
1000100010=>1101110111
1000100001=>1101110100
1000100000=>1101110101
1000011111=>1101001010
1000011110=>1101001011
1000011101=>1101001000
1000011100=>1101001001
1000011011=>1101001110
1000011010=>1101001111
1000011000=>1101001101
1000010111=>1101000010
1000010110=>1101000011
1000010101=>1101000000
1000010100=>1101000001
1000010011=>1101000110
1000010010=>1101000111
1000010001=>1101000100
1000010000=>1101000101
1000001111=>1101011010
1000001110=>1101011011
1000001101=>1101011000
1000001100=>1101011001
1000001011=>1101011110
1000001010=>1101011111
1000001001=>1101011100
1000001000=>1101011101
1000000111=>1101010010
1000000110=>1101010011
1000000101=>1101010000
1000000100=>1101010001
1000000011=>1101010110
1000000010=>1101010111
1000000001=>1101010100
1000000000=>1101010101
0111111111=>0010101010
0111111101=>0010101000
0111111001=>0010101100
0111110001=>0010100100
0111100001=>0010110100
0111000001=>0010010100
0110000001=>0011010100
0100000001=>0001010100
0000000001=>0101010100
0111111011=>0010101110
0111110101=>0010100000
0111101001=>0010111100
0111010001=>0010000100
0110100001=>0011110100
0101000001=>0000010100
0010000001=>0111010100
0101010101=>0000000000
0101010011=>0000000110
0101001101=>0000011000
0101001011=>0000011110
0101000111=>0000010010
0100110101=>0001100000
0100110011=>0001100110
0100101101=>0001111000
0100101011=>0001111110
0100100111=>0001110010
0100011101=>0001001000
0100011011=>0001001110
0100010111=>0001000010
0100001111=>0001011010
0011010101=>0110000000
0011010011=>0110000110
0011001101=>0110011000
0011001011=>0110011110
0011000111=>0110010010
0010110101=>0111100000
0010110011=>0111100110
0010101101=>0111111000
0010101011=>0111111110
0010100111=>0111110010
0010011101=>0111001000
0010011011=>0111001110
0010010111=>0111000010
0010001111=>0111011010
0001110101=>0100100000
0001110011=>0100100110
0001101101=>0100111000
0001101011=>0100111110
0001100111=>0100110010
0001011101=>0100001000
0001011011=>0100001110
0001010111=>0100000010
0001001111=>0100011010
0000111101=>0101101000
0000111011=>0101101110
0000110111=>0101100010
0000101111=>0101111010
0000011111=>0101001010
0000000000=>0101010101
0000000110=>0101010011
0000011000=>0101001101
0000011110=>0101001011
0000010010=>0101000111
0001100000=>0100110101
0001100110=>0100110011
0001111000=>0100101101
0001111110=>0100101011
0001110010=>0100100111
0001001110=>0100011011
0001000010=>0100010111
0001011010=>0100001111
0110000000=>0011010101
0110011000=>0011001101
0110010010=>0011000111
0111100000=>0010110101
0111111000=>0010101101
0111111110=>0010101011
0111110010=>0010100111
0111001000=>0010011101
0111000010=>0010010111
0100100110=>0001110011
0100111000=>0001101101
0100111110=>0001101011
0100110010=>0001100111
0100001000=>0001011101
0100001110=>0001011011
0100000010=>0001010111
0100011010=>0001001111
0101101000=>0000111101
0101100010=>0000110111
0101111010=>0000101111
0101001010=>0000011111
0010101010=>0111111111
0010101000=>0111111101
0010101100=>0111111001
0010100100=>0111110001
0010110100=>0111100001
0010010100=>0111000001
0011010100=>0110000001
0001010100=>0100000001
0101010100=>0000000001
0010101110=>0111111011
0010100000=>0111110101
0010111100=>0111101001
0010000100=>0111010001
0011110100=>0110100001
0000010100=>0101000001
0111010100=>0010000001
0000000010=>0101010111
0000001110=>0101011011
0000111110=>0101101011
0011111110=>0110101011
0000000100=>0101010001
0000001010=>0101011111
0000010110=>0101000011
0000101110=>0101111011
0001011110=>0100001011
0010111110=>0111101011
0101111110=>0000101011
0010110010=>0111100111
0010111000=>0111101101
0011001010=>0110011111
0011001100=>0110011001
0011010010=>0110000111
0011011000=>0110001101
0011100010=>0110110111
0011100100=>0110110001
0011101000=>0110111101
0011110000=>0110100101
0100101010=>0001111111
0100101100=>0001111001
0100110100=>0001100001
0101001100=>0000011001
0101010010=>0000000111
0101011000=>0000001101
0101100100=>0000110001
0101110000=>0000100101
0110001010=>0011011111
0110001100=>0011011001
0110010100=>0011000001
0110100010=>0011110111
0110100100=>0011110001
0110101000=>0011111101
0110110000=>0011100101
0111000100=>0010010001
0111010000=>0010000101
0100000000=>0001010101
0100000011=>0001010110
0100000111=>0001010010
0100011111=>0001001010
0100111111=>0001101010
0101111111=>0000101010
0100000101=>0001010000
0100001011=>0001011110
0100101111=>0001111010
0101011111=>0000001010
0110111111=>0011101010
0101010110=>0000000011
0101011001=>0000001100
0101011010=>0000001111
0101011100=>0000001001
0101100101=>0000110000
0101100110=>0000110011
0101101001=>0000111100
0101101010=>0000111111
0101101100=>0000111001
0101110001=>0000100100
0101110010=>0000100111
0101110100=>0000100001
0101111000=>0000101101
0110010101=>0011000000
0110010110=>0011000011
0110011001=>0011001100
0110011010=>0011001111
0110011100=>0011001001
0110100101=>0011110000
0110100110=>0011110011
0110101001=>0011111100
0110101010=>0011111111
0110101100=>0011111001
0110110001=>0011100100
0110110010=>0011100111
0110110100=>0011100001
0110111000=>0011101101
0111000101=>0010010000
0111000110=>0010010011
0111001001=>0010011100
0111001010=>0010011111
0111001100=>0010011001
0111010010=>0010000111
0111011000=>0010001101
0111100010=>0010110111
0111100100=>0010110001
0111101000=>0010111101
0111110000=>0010100101
0100000100=>0001010001
0011100110=>0110110011
0011101010=>0110111111
0011101100=>0110111001
0001101110=>0100111011
0010110110=>0111100011
0011110010=>0110100111
0001110110=>0100100011
0100111010=>0001101111
0010111010=>0111101111
0011111000=>0110101101
0001111010=>0100101111
0100111100=>0001101001
0001111100=>0100101001
0000000101=>0101010000
0000001101=>0101011000
0000011101=>0101001000
0001111101=>0100101000
0011111101=>0110101000
0000001001=>0101011100
0000010101=>0101000000
0000101101=>0101111000
0010111101=>0111101000
0101111101=>0000101000
0111000011=>0010010110
0011110001=>0110100100
0011110111=>0110100010
0011101101=>0110111000
0011011001=>0110001100
0010110001=>0111100100
0001100001=>0100110100
0001000001=>0100010100
0111010101=>0010000000
0111010011=>0010000110
0111001101=>0010011000
0111011001=>0010001100
0111000111=>0010010010
0011110101=>0110100000
0011110011=>0110100110
0111100101=>0010110000
0111100011=>0010110110
0011111001=>0110101100
0000111111=>0101101010
0001110100=>0100100001
0001101100=>0100111001
0100011100=>0001001001
0010011100=>0111001001
0001011100=>0100001001
0000111100=>0101101001
0001101010=>0100111111
0010011010=>0111001111
0000111010=>0101101111
0101000110=>0000010011
0011000110=>0110010011
0010100110=>0111110011
0100010110=>0001000011
0010010110=>0111000011
0001010110=>0100000011
0000110110=>0101100011
0010001110=>0111011011
0110111001=>0011101100
0001101001=>0100111100
0000110001=>0101100100
0000010001=>0101000100
0100011001=>0001001100
0100111001=>0001101100
0101111001=>0000101100
0110010001=>0011000100
0100010001=>0001000100
0100110001=>0001100100
0100100001=>0001110100
0101100001=>0000110100
0110011011=>0011001110
0110111011=>0011101110
0100111011=>0001101110
0101111011=>0000101110
0110010011=>0011000110
0100010011=>0001000110
0110110011=>0011100110
0101110011=>0000100110
0110100011=>0011110110
0100100011=>0001110110
0101100011=>0000110110
0101000011=>0000010110
0110010111=>0011000010
0110110111=>0011100010
0100110111=>0001100010
0101110111=>0000100010
0110100111=>0011110010
0101100111=>0000110010
0110101111=>0011111010
0101101111=>0000111010
0101001111=>0000011010
0000001100=>0101011001
0000011001=>0101001100
0000110011=>0101100110
0011001111=>0110011010
0110011111=>0011001010
0000110100=>0101100001
0000000011=>0101010110
0000011011=>0101001110
0001101111=>0100111010
0011011111=>0110001010
0000110101=>0101100000
0011010111=>0110000010
0010000010=>0111010111
0001000011=>0100010110
0111001011=>0010011110
0111100111=>0010110010
0111110111=>0010100010
0110001011=>0011011110
0110000111=>0011010010
0011011010=>0110001111
0011010110=>0110000011
0100110110=>0001100011
0110001110=>0011011011
0101001110=>0000011011
0011001110=>0110011011
0100101110=>0001111011
0100011110=>0001001011
0010011110=>0111001011
0101000000=>0000010101
0001010000=>0100000101
0100010000=>0001000101
0001000100=>0100010001
0111011100=>0010001001
0101000101=>0000010000
0001010101=>0100000000
0100010101=>0001000000
0110110101=>0011100000
0101010001=>0000000100
0100101001=>0001111100
0110001001=>0011011100
0101011011=>0000001110
0001001011=>0100011110
0110101011=>0011111110
0001100011=>0100110110
0110000011=>0011010110
0001110111=>0100100010
0111101111=>0010111010
0111000000=>0010010101
0111111100=>0010101001
0010000000=>0111010101
0110100000=>0011110101
0111110100=>0010100001
0111111010=>0010101111
0000000111=>0101010010
0000001111=>0101011010
0001111111=>0100101010
0011111111=>0110101010
0000001011=>0101011110
0000010111=>0101000010
0001011111=>0100001010
0010111111=>0111101010
0011011110=>0110001011
0011101110=>0110111011
0011110110=>0110100011
0011111010=>0110101111
0011111100=>0110101001
0011011100=>0110001001
0010111001=>0111101100
0001111001=>0100101100
0000011010=>0101001111
0000101010=>0101111111
0000100101=>0101110000
0011100101=>0110110000
0011100011=>0110110110
0011101001=>0110111100
0010010101=>0111000000
0010010011=>0111000110
0000101011=>0101111110
0001000111=>0100010010
0000100111=>0101110010
0010010010=>0111000111
0001001010=>0100011111
0001001001=>0100011100
0001000101=>0100010000
0000100011=>0101110110
0000100100=>0101110001
0000100010=>0101110111
0011000000=>0110010101
0010110000=>0111100101
0101010111=>0000000010
0101110101=>0000100000
0000011100=>0101001001
0000001000=>0101011101
0000101100=>0101111001
0101111100=>0000101001
0010101111=>0111111010
0011100001=>0110110100
0011010001=>0110000100
0000101000=>0101111101
0010001000=>0111011101
0011000100=>0110010001
0011000010=>0110010111
0001001100=>0100011001
0001000110=>0100010011
0001100100=>0100110001
0001100010=>0100110111
0000100110=>0101110011
0000110010=>0101100111
0100100100=>0001110001
0101001000=>0000011101
0101010000=>0000000101
0010010000=>0111000101
0100101000=>0001111101
0111110110=>0010100011
0111101010=>0010111111
0001000000=>0100010101
0001011001=>0100001100
0001100101=>0100110000
0001110001=>0100100100
0010011001=>0111001100
0010100101=>0111110000
0010101001=>0111111100
0011000101=>0110010000
0011001001=>0110011100
0100100101=>0001110000
0101001001=>0000011100
0010110111=>0111100010
0010011111=>0111001010
0000111001=>0101101100
0100001101=>0001011000
0010001101=>0111011000
0001001101=>0100011000
0001010011=>0100000110
0110101101=>0011111000
0110011101=>0011001000
0110001111=>0011011010
0101101101=>0000111000
0101101011=>0000111110
0101011101=>0000001000
0100111101=>0001101000
0011000011=>0110010110
0011011011=>0110001110
0001111011=>0100101110
0100011000=>0001001101
0010011000=>0111001101
0001011000=>0100001101
0000100000=>0101110101
0011011101=>0110001000
0010001011=>0111011110
0011101011=>0110111110
0010000111=>0111010010
0011100111=>0110110010
0000010011=>0101000110
0111011111=>0010001010
0110000100=>0011010001
0111001111=>0010011010
0010001100=>0111011001
0010000110=>0111010011
0111101100=>0010111001
0110111100=>0011101001
10000000000=>11010101010
10000000010=>11010101000
10000000110=>11010101100
10000001110=>11010100100
10000011110=>11010110100
10000111110=>11010010100
10001111110=>11011010100
10011111110=>11001010100
10111111110=>11101010100
11111111110=>10101010100
10000000100=>11010101110
10000001010=>11010100000
10000010110=>11010111100
10000101110=>11010000100
10001011110=>11011110100
10010111110=>11000010100
10101111110=>11111010100
11011111110=>10001010100
10000001000=>11010100010
10000010010=>11010111000
10000100110=>11010001100
10001001110=>11011100100
10010011110=>11000110100
10001101110=>11011000100
10100111110=>11110010100
11001111110=>10011010100
10110111110=>11100010100
11101111110=>10111010100
10000010000=>11010111010
10000100010=>11010001000
10000010100=>11010111110
10000101010=>11010000000
10100011110=>11110110100
10010101110=>11000000100
11000111110=>10010010100
10101011110=>11111110100
11010111110=>10000010100
10111011110=>11101110100
11110111110=>10100010100
10000100000=>11010001010
10001000010=>11011101000
10000100100=>11010001110
10001001010=>11011100000
10000111100=>11010010110
11000011110=>10010110100
10100101110=>11110000100
10001111010=>11011010000
11001011110=>10011110100
10101101110=>11111000100
11100111110=>10110010100
11011011110=>10001110100
10111101110=>11101000100
11111011110=>10101110100
10001000000=>11011101010
10001000100=>11011101110
10000101000=>11010000010
10010001010=>11000100000
10001010010=>11011111000
11000001110=>10010100100
11000101110=>10010000100
10101001110=>11111100100
10010111010=>11000010000
11010011110=>10000110100
10110101110=>11100000100
10101110110=>11111011100
11101011110=>10111110100
11011101110=>10001000100
10111110110=>11101011100
11111101110=>10101000100
10010000000=>11000101010
10100000010=>11110101000
10010000100=>11000101110
10001001000=>11011100010
11000000110=>10010101100
10010010010=>11000111000
10001010100=>11011111110
11000010110=>10010111100
10010101010=>11000000000
11001001110=>10011100100
10101010110=>11111111100
10100111010=>11110010000
11010101110=>10000000100
10110110110=>11100011100
10101111010=>11111010000
11110011110=>10100110100
11101101110=>10111000100
11011110110=>10001011100
10111111010=>11101010000
11111110110=>10101011100
10100000000=>11110101010
11000000010=>10010101000
10010001000=>11000100010
10001010000=>11011111010
11000001010=>10010100000
10100010010=>11110111000
10010100010=>11000001000
10010010100=>11000111110
11000100110=>10010001100
10100101010=>11110000000
11001010110=>10011111100
10110010110=>11100111100
10101100110=>11111001100
10101011010=>11111110000
10011101010=>11001000000
11010110110=>10000011100
10111010110=>11101111100
10110111010=>11100010000
11110101110=>10100000100
11101110110=>10111011100
10111111100=>11101010110
11111111010=>10101010000
01111111111=>00101010101
01111111101=>00101010111
01111111001=>00101010011
01111110001=>00101011011
01111100001=>00101001011
01111000001=>00101101011
01110000001=>00100101011
01100000001=>00110101011
01000000001=>00010101011
00000000001=>01010101011
11010101010=>10000000000
11010101000=>10000000010
11010101100=>10000000110
11010100100=>10000001110
11010110100=>10000011110
11010010100=>10000111110
11011010100=>10001111110
11001010100=>10011111110
11101010100=>10111111110
10101010100=>11111111110
00101010101=>01111111111
00101010111=>01111111101
00101010011=>01111111001
00101011011=>01111110001
00101001011=>01111100001
00101101011=>01111000001
00100101011=>01110000001
00110101011=>01100000001
00010101011=>01000000001
01010101011=>00000000001
00000000000=>01010101010
00000000010=>01010101000
00000000110=>01010101100
00000001110=>01010100100
00000011110=>01010110100
00000111110=>01010010100
00001111110=>01011010100
00011111110=>01001010100
00111111110=>01101010100
01111111110=>00101010100
10101010101=>11111111111
10101010010=>11111111000
10101001001=>11111100011
10101001010=>11111100000
10101000100=>11111101110
10100100101=>11110001111
10100100010=>11110001000
10100101001=>11110000011
10100100100=>11110001110
10100010001=>11110111011
10100010100=>11110111110
10100001000=>11110100010
10010010101=>11000111111
10010001001=>11000100011
10010100101=>11000001111
10010101001=>11000000011
10010100100=>11000001110
10010010001=>11000111011
10001000101=>11011101111
10001001001=>11011100011
10001010001=>11011111011
10000100001=>11010001011
01001010101=>00011111111
01001010010=>00011111000
01001001001=>00011100011
01001001010=>00011100000
01001000100=>00011101110
01000100101=>00010001111
01000100010=>00010001000
01000101001=>00010000011
01000101010=>00010000000
01000100100=>00010001110
01000010001=>00010111011
01000010010=>00010111000
01000010100=>00010111110
01000001000=>00010100010
01010010101=>00000111111
01010010010=>00000111000
01010001001=>00000100011
01010001010=>00000100000
01010000100=>00000101110
01010100101=>00000001111
01010100010=>00000001000
01010101001=>00000000011
01010101010=>00000000000
01010100100=>00000001110
01010010001=>00000111011
01010010100=>00000111110
01010001000=>00000100010
01001000101=>00011101111
01001000010=>00011101000
01001010001=>00011111011
01001010100=>00011111110
01001001000=>00011100010
01000100001=>00010001011
01000101000=>00010000010
01000010000=>00010111010
00100010101=>01110111111
00100010010=>01110111000
00100001001=>01110100011
00100001010=>01110100000
00100000100=>01110101110
00100100101=>01110001111
00100100010=>01110001000
00100101001=>01110000011
00100101010=>01110000000
00100100100=>01110001110
00100010001=>01110111011
00100010100=>01110111110
00100001000=>01110100010
00101000101=>01111101111
00101000010=>01111101000
00101001001=>01111100011
00101001010=>01111100000
00101000100=>01111101110
00101010001=>01111111011
00101010010=>01111111000
00101010100=>01111111110
00101001000=>01111100010
00100100001=>01110001011
00100101000=>01110000010
00100010000=>01110111010
00010000101=>01000101111
00010000010=>01000101000
00010001001=>01000100011
00010001010=>01000100000
00010000100=>01000101110
00010010001=>01000111011
00010010010=>01000111000
00010010100=>01000111110
00010001000=>01000100010
00010100001=>01000001011
00010100010=>01000001000
00010100100=>01000001110
00010101000=>01000000010
00010010000=>01000111010
00001000001=>01011101011
00001000010=>01011101000
00001000100=>01011101110
00001001000=>01011100010
00001010000=>01011111010
00000100000=>01010001010
01000000000=>00010101010
01000000011=>00010101001
01000000111=>00010101101
01000001111=>00010100101
01000011111=>00010110101
01000111111=>00010010101
01001111111=>00011010101
01011111111=>00001010101
00000000101=>01010101111
00000001101=>01010100111
00000011101=>01010110111
00000111101=>01010010111
00001111101=>01011010111
00011111101=>01001010111
00111111101=>01101010111
11111111101=>10101010111
01111111011=>00101010001
01111110101=>00101011111
01111101001=>00101000011
01111010001=>00101111011
01110100001=>00100001011
01101000001=>00111101011
01010000001=>00000101011
00100000001=>01110101011
11100000010=>10110101000
11110000010=>10100101000
11111000010=>10101101000
11111100010=>10101001000
11111110010=>10101011000
10111111101=>11101010111
01011111101=>00001010111
00101111101=>01111010111
00010111101=>01000010111
00001011101=>01011110111
00000101101=>01010000111
00000010101=>01010111111
00000001001=>01010100011
10000000001=>11010101011
11000000001=>10010101011
11100000001=>10110101011
11110000001=>10100101011
11111000001=>10101101011
11111100001=>10101001011
11111110001=>10101011011
11111111001=>10101010011
11111111111=>10101010101
01010101101=>00000000111
01010110110=>00000011100
01010110101=>00000011111
01010111011=>00000010001
01011011010=>00001110000
01011011101=>00001110111
01011010110=>00001111100
01011010101=>00001111111
01011011011=>00001110001
01011101110=>00001000100
01011101101=>00001000111
01011101011=>00001000001
01011110111=>00001011101
01101101010=>00111000000
01101101101=>00111000111
01101110110=>00111011100
01101110101=>00111011111
01101111011=>00111010001
01101011010=>00111110000
01101011101=>00111110111
01101010110=>00111111100
01101010101=>00111111111
01101011011=>00111110001
01101101110=>00111000100
01101101011=>00111000001
01101110111=>00111011101
01110111010=>00100010000
01110111101=>00100010111
01110110110=>00100011100
01110110101=>00100011111
01110111011=>00100010001
01110101110=>00100000100
01110101101=>00100000111
01110101011=>00100000001
01110110111=>00100011101
01111011110=>00101110100
01111011101=>00101110111
01111011011=>00101110001
01111010111=>00101111101
01111101111=>00101000101
10110101010=>11100000000
10110101101=>11100000111
10110110101=>11100011111
10110111011=>11100010001
10111011010=>11101110000
10111011101=>11101110111
10111010101=>11101111111
10111011011=>11101110001
10111101101=>11101000111
10111101011=>11101000001
10111110111=>11101011101
10101101010=>11111000000
10101101101=>11111000111
10101110101=>11111011111
10101111011=>11111010001
10101011101=>11111110111
10101011011=>11111110001
10101101011=>11111000001
10101110111=>11111011101
10110111101=>11100010111
10110101011=>11100000001
10110110111=>11100011101
10111010111=>11101111101
10111101111=>11101000101
11011101010=>10001000000
11011101101=>10001000111
11011110101=>10001011111
11011111011=>10001010001
11011011010=>10001110000
11011011101=>10001110111
11011010110=>10001111100
11011010101=>10001111111
11011011011=>10001110001
11011101011=>10001000001
11011110111=>10001011101
11010111010=>10000010000
11010111101=>10000010111
11010110101=>10000011111
11010111011=>10000010001
11010101101=>10000000111
11010101011=>10000000001
11010110111=>10000011101
11011010111=>10001111101
11011101111=>10001000101
11101111010=>10111010000
11101111101=>10111010111
11101110101=>10111011111
11101111011=>10111010001
11101101101=>10111000111
11101101011=>10111000001
11101110111=>10111011101
11101011101=>10111110111
11101011011=>10111110001
11101010111=>10111111101
11101101111=>10111000101
11110111101=>10100010111
11110111011=>10100010001
11110110111=>10100011101
11110101111=>10100000101
11111011111=>10101110101
00000001100=>01010100110
00000011001=>01010110011
00000110011=>01010011001
00001100111=>01011001101
00011001111=>01001100101
00110011111=>01100110101
01100111111=>00110010101
11001111111=>10011010101
00000000011=>01010101001
00000011011=>01010110001
00000110111=>01010011101
00001101111=>01011000101
00011011111=>01001110101
00110111111=>01100010101
01101111111=>00111010101
11011111111=>10001010101
10001010101=>11011111111
01111010101=>00101111111
10000010101=>11010111111
10000000101=>11010101111
11000000000=>10010101010
01100000000=>00110101010
01110000000=>00100101010
01111000000=>00101101010
01111100000=>00101001010
01111110000=>00101011010
01111111000=>00101010010
01111111100=>00101010110
00000000111=>01010101101
00000001111=>01010100101
00000011111=>01010110101
00000111111=>01010010101
00001111111=>01011010101
00011111111=>01001010101
00111111111=>01101010101
10110000000=>11100101010
10111000000=>11101101010
10111100000=>11101001010
10111110000=>11101011010
10111111000=>11101010010
10111111111=>11101010101
10000001011=>11010100001
10000010111=>11010111101
10000101111=>11010000101
10001011111=>11011110101
10010111111=>11000010101
10101111111=>11111010101
00101111110=>01111010100
00110111110=>01100010100
00111011110=>01101110100
00111101110=>01101000100
00111110110=>01101011100
00111111010=>01101010000
00111111100=>01101010110
00000001010=>01010100000
00000011010=>01010110000
00000111010=>01010010000
00001111010=>01011010000
00011111010=>01001010000
01111111010=>00101010000
11111111011=>10101010001
11000000011=>10010101001
10000001101=>11010100111
10000011101=>11010110111
10000111101=>11010010111
10001111101=>11011010111
10011111101=>11001010111
11010010010=>10000111000
11010001000=>10000100010
11001001010=>10011100000
11001000100=>10011101110
11001010010=>10011111000
11001001000=>10011100010
11000100010=>10010001000
11000100100=>10010001110
11000101000=>10010000010
11000010000=>10010111010
10101001000=>11111100010
10100101000=>11110000010
10100010000=>11110111010
00010010101=>01000111111
00010100101=>01000001111
10010101000=>11000000010
00010101001=>01000000011
00010101010=>01000000000
10010010000=>11000111010
00001000101=>01011101111
00001001001=>01011100011
00001001010=>01011100000
00001010001=>01011111011
00001010010=>01011111000
00001010100=>01011111110
00000100001=>01010001011
00000100010=>01010001000
00000100100=>01010001110
00000101000=>01010000010
00000010000=>01010111010
01011100001=>00001001011
11011100000=>10001001010
01001110000=>00011011010
10101100001=>11111001011
10010110000=>11000011010
01101100001=>00111001011
11101100000=>10111001010
01010110000=>00000011010
00100110001=>01110011011
10100110000=>11110011010
01100110000=>00110011010
00100011000=>01110110010
11010100001=>10000001011
10101010000=>11111111010
11001010000=>10011111010
10110100001=>11100001011
10011010000=>11001111010
11110100000=>10100001010
01011010000=>00001111010
01101010000=>00111111010
11010010000=>10000111010
00110010001=>01100111011
10110010000=>11100111010
01110010000=>00100111010
00110001000=>01100100010
11101000001=>10111101011
10110100000=>11100001010
01010100001=>00000001011
11010100000=>10000001010
01001010000=>00011111010
10100100001=>11110001011
01100100001=>00110001011
11100100000=>10110001010
01010010000=>00000111010
01100010000=>00110111010
11011000001=>10001101011
10101100000=>11111001010
01001100001=>00011001011
11001100000=>10011001010
01000110000=>00010011010
10111000001=>11101101011
10011100000=>11001001010
11111000000=>10101101010
01011100000=>00001001010
00101100001=>01111001011
01101100000=>00111001010
00100110000=>01110011010
10010100001=>11000001011
00110100001=>01100001011
01110100000=>00100001010
00101010000=>01111111010
00110010000=>01100111010
11001000001=>10011101011
10100100000=>11110001010
11000100000=>10010001010
10101000001=>11111101011
10010100000=>11000001010
11101000000=>10111101010
01010100000=>00000001010
01100100000=>00110001010
10011000001=>11001101011
10001100000=>11011001010
01011000001=>00001101011
11011000000=>10001101010
01001100000=>00011001010
00111000001=>01101101011
00101100000=>01111001010
00110100000=>01100001010
10001000001=>11011101011
01001000001=>00011101011
11001000000=>10011101010
01000100000=>00010001010
00101000001=>01111101011
10101000000=>11111101010
01101000000=>00111101010
00100100000=>01110001010
00011000001=>01001101011
10011000000=>11001101010
01011000000=>00001101010
00111000000=>01101101010
00010100000=>01000001010
01001000000=>00011101010
00101000000=>01111101010
00011000000=>01001101010
00001000000=>01011101010
00000000100=>01010101110
00001010101=>01011111111
00010010011=>01000111001
00010001011=>01000100001
00001001011=>01011100001
00001000111=>01011101101
11111110011=>10101011001
11111100110=>10101001100
11111001100=>10101100110
11110011000=>10100110010
11100110000=>10110011010
00110000000=>01100101010
10101010001=>11111111011
10101011001=>11111110011
10101101001=>11111000011
10110101001=>11100000011
11010101001=>10000000011
01101010100=>00111111110
01101010010=>00111111000
01101001010=>00111100000
01100101010=>00110000000
01110101010=>00100000000
01011110001=>00001011011
01100000011=>00110101001
01111000011=>00101101001
01111110011=>00101011001
11111100000=>10101001010
00111110000=>01101011010
01111100010=>00101001000
01011110000=>00001011010
01111100100=>00101001110
01101110000=>00111011010
01111101000=>00101000010
01110110000=>00100011010
10101000111=>11111101101
10100011101=>11110110111
10100001111=>11110100101
10101100101=>11111001111
10100100111=>11110001101
10101001011=>11111100001
10101110001=>11111011011
10001110101=>11011011111
10000110111=>11010011101
10001011011=>11011110001
10001111001=>11011010011
10110010101=>11100111111
10010011101=>11000110111
10010001111=>11000100101
10100101101=>11110000111
10100110101=>11110011111
10111000101=>11101101111
10011000111=>11001101101
10110010011=>11100111001
10111100001=>11101001011
00111010101=>01101111111
00111000111=>01101101101
00111011001=>01101110011
00011110101=>01001011111
00010101111=>01000000101
00010110111=>01000011101
00011011011=>01001110001
00011111001=>01001010011
00011011101=>01001110111
00101101101=>01111000111
00101001111=>01111100101
00101110101=>01111011111
00111100101=>01101001111
00011100111=>01001001101
00110110011=>01100011001
00111110001=>01101011011
11001010101=>10011111111
11001000111=>10011101101
11001011001=>10011110011
01001110101=>00011011111
01000111101=>00010010111
01000101111=>00010000101
01000110111=>00010011101
01001011011=>00011110001
01001111001=>00011010011
10010110101=>11000011111
10000011111=>11010110101
10011010101=>11001111111
00011010111=>01001111101
10010011011=>11000110001
10011101001=>11001000011
11100010101=>10110111111
01100011101=>00110110111
01100001111=>00110100101
00100101111=>01110000101
11001001101=>10011100111
01001001111=>00011100101
10001001111=>11011100101
11000010111=>10010111101
11001100101=>10011001111
11110000101=>10100101111
01110000111=>00100101101
10110001011=>11100100001
11010010011=>10000111001
11100100011=>10110001001
00000011100=>01010110110
00000111100=>01010010110
00001111100=>01011010110
00011111100=>01001010110
11111111100=>10101010110
11000000101=>10010101111
11000001001=>10010100011
11000010001=>10010111011
11000100001=>10010001011
11010000001=>10000101011
00000001011=>01010100001
00000010111=>01010111101
00000101111=>01010000101
00001011111=>01011110101
00010111111=>01000010101
00101111111=>01111010101
00111111001=>01101010011
00111100001=>01101001011
00110000001=>01100101011
01010101000=>00000000010
01010000010=>00000101000
01010000000=>00000101010
01000001010=>00010100000
01000000010=>00010101000
00010000000=>01000101010
00000101010=>01010000000
00000001000=>01010100010
10011111111=>11001010101
10001111111=>11011010101
10000111111=>11010010101
10000001111=>11010100101
10000000111=>11010101101
10000000011=>11010101001
01000000100=>00010101110
00100000010=>01110101000
00100000000=>01110101010
00000010010=>01010111000
00000010100=>01010111110
10100000001=>11110101011
11110100001=>10100001011
11111010001=>10101111011
11111101001=>10101000011
11111110101=>10101011111
10101010011=>11111111001
10101001101=>11111100111
10100110011=>11110011001
10100101011=>11110000001
10100011011=>11110110001
10100010111=>11110111101
10011010011=>11001111001
10011001101=>11001100111
10011001011=>11001100001
10010110011=>11000011001
10010101101=>11000000111
10010101011=>11000000001
10010100111=>11000001101
10010010111=>11000111101
10001110011=>11011011001
10001101101=>11011000111
10001101011=>11011000001
10001100111=>11011001101
10001011101=>11011110111
10001010111=>11011111101
10000111011=>11010010001
01101010011=>00111111001
01101001101=>00111100111
01101001011=>00111100001
01101000111=>00111101101
01100110101=>00110011111
01100110011=>00110011001
01100101101=>00110000111
01100101011=>00110000001
01100100111=>00110001101
01100011011=>00110110001
01100010111=>00110111101
01011010011=>00001111001
01011001101=>00001100111
01011001011=>00001100001
01011000111=>00001101101
01010110011=>00000011001
01010100111=>00000001101
01010011101=>00000110111
01010011011=>00000110001
01010010111=>00000111101
01010001111=>00000100101
01001110011=>00011011001
01001101101=>00011000111
01001101011=>00011000001
01001100111=>00011001101
01001011101=>00011110111
01001010111=>00011111101
01000111011=>00010010001
00111010011=>01101111001
00111001101=>01101100111
00111001011=>01101100001
00110110101=>01100011111
00110101101=>01100000111
00110100111=>01100001101
00110011101=>01100110111
00110011011=>01100110001
00110010111=>01100111101
00110001111=>01100100101
00101110011=>01111011001
00101100111=>01111001101
00101011101=>01111110111
00100111101=>01110010111
00100111011=>01110010001
00100110111=>01110011101
00100011111=>01110110101
00011110011=>01001011001
00011101101=>01001000111
00011101011=>01001000001
00010111011=>01000010001
00010011111=>01000110101
00001111011=>01011010001
00001110111=>01011011101
11100010000=>10110111010
01010101111=>00000000101
10101010111=>11111111101
11010000000=>10000101010
01111110100=>00101011110
01111010000=>00101111010
11000010010=>10010111000
11000001000=>10010100010
11010010101=>10000111111
11010100101=>10000001111
11111111000=>10101010010
11100000000=>10110101010
11110000000=>10100101010
11111110000=>10101011010
11010110010=>10000011000
11010111000=>10000010010
11011001010=>10001100000
11011001100=>10001100110
11011010010=>10001111000
11011011000=>10001110010
11011100010=>10001001000
11011100100=>10001001110
11011101000=>10001000010
11011110000=>10001011010
11100101010=>10110000000
11100101100=>10110000110
11100110010=>10110011000
11100110100=>10110011110
11100111000=>10110010010
11101001010=>10111100000
11101001100=>10111100110
11101010010=>10111111000
11101011000=>10111110010
11101100010=>10111001000
11101100100=>10111001110
11101101000=>10111000010
11101110000=>10111011010
11110001010=>10100100000
11110001100=>10100100110
11110010010=>10100111000
11110010100=>10100111110
11110100010=>10100001000
11110100100=>10100001110
11110101000=>10100000010
11110110000=>10100011010
11111000100=>10101101110
11111001000=>10101100010
11111010000=>10101111010
10100000011=>11110101001
10100000111=>11110101101
10100011111=>11110110101
10100111111=>11110010101
00000010011=>01010111001
00000100111=>01010001101
00001001111=>01011100101
00100111111=>01110010101
11110101010=>10100000000
11000000100=>10010101110
01000000101=>00010101111
01000001011=>00010100001
01000010111=>00010111101
01001011111=>00011110101
01010111111=>00000010101
10111010000=>11101111010
10111101000=>11101000010
10111110100=>11101011110
11111011000=>10101110010
11111101100=>10101000110
11111101010=>10101000000
11111010010=>10101111000
11101000010=>10111101000
11010000010=>10000101000
10101001111=>11111100101
10101011111=>11111110101
10100111101=>11110010111
10100101111=>11110000101
10101111101=>11111010111
10111001111=>11101100101
10111011111=>11101110101
10011110101=>11001011111
10011110111=>11001011101
10010111101=>11000010111
10010101111=>11000000101
10011011111=>11001110101
10111110101=>11101011111
10011101111=>11001000101
10110111111=>11100010101
11101010101=>10111111111
11101001111=>10111100101
11101011111=>10111110101
11100111101=>10110010111
11100101111=>10110000101
11100111111=>10110010101
11101111111=>10111010101
01111001111=>00101100101
01111011111=>00101110101
01011110101=>00001011111
01010111101=>00000010111
01011011111=>00001110101
01111110111=>00101011101
01011101111=>00001000101
01101111101=>00111010111
01101011111=>00111110101
01110111111=>00100010101
11111010101=>10101111111
11111010111=>10101111101
11111011101=>10101110111
11111001111=>10101100101
01110101111=>00100000101
00111101111=>01101000101
11111110111=>10101011101
11011111101=>10001010111
11010111111=>10000010101
11111100100=>10101001110
11110010000=>10100111010
10101011100=>11111110110
10101101100=>11111000110
10101110010=>11111011000
10101110100=>11111011110
10101111000=>11111010010
10110011001=>11100110011
10110011010=>11100110000
10110011100=>11100110110
10110100101=>11100001111
10110100110=>11100001100
10110101100=>11100000110
10110110001=>11100011011
10110110010=>11100011000
10110110100=>11100011110
10110111000=>11100010010
10111000110=>11101101100
10111001001=>11101100011
10111001010=>11101100000
10111001100=>11101100110
10111010001=>11101111011
10111010010=>11101111000
10111010100=>11101111110
10111011000=>11101110010
10111100010=>11101001000
10111100100=>11101001110
11001011010=>10011110000
11001011100=>10011110110
11001100110=>10011001100
11001101001=>10011000011
11001101010=>10011000000
11001101100=>10011000110
11001110001=>10011011011
11001110010=>10011011000
11001110100=>10011011110
11001111000=>10011010010
11010010110=>10000111100
11010011001=>10000110011
11010011010=>10000110000
11010011100=>10000110110
11010100110=>10000001100
11010110001=>10000011011
11011000101=>10001101111
11011000110=>10001101100
11011001001=>10001100011
11011010001=>10001111011
11011100001=>10001001011
11100010110=>10110111100
11100011001=>10110110011
11100011010=>10110110000
11100011100=>10110110110
11100100101=>10110001111
11100100110=>10110001100
11100101001=>10110000011
11100110001=>10110011011
11101000101=>10111101111
11101000110=>10111101100
11101001001=>10111100011
11101010001=>10111111011
11101100001=>10111001011
11110000110=>10100101100
11110001001=>10100100011
11110010001=>10100111011
10101111001=>11111010011
10111100101=>11101001111
10111100111=>11101001101
10111101001=>11101000011
10111101010=>11101000000
10111111001=>11101010011
10111111011=>11101010001
11101111001=>10111010011
11110010101=>10100111111
11110010111=>10100111101
11110011101=>10100110111
11110011111=>10100110101
11110100101=>10100001111
11110100111=>10100001101
11110101001=>10100000011
11110111001=>10100010011
11110111010=>10100010000
11110111100=>10100010110
11111100101=>10101001111
11111100111=>10101001101
11111110100=>10101011110
11111011001=>10101110011
11111011010=>10101110000
11111010110=>10101111100
11111101101=>10101000111
11111101011=>10101000001
10110000010=>11100101000
10111000010=>11101101000
10111110010=>11101011000
01111101100=>00101000110
01111011100=>00101110110
01110111100=>00100010110
01101111100=>00111010110
01011111100=>00001010110
01000100011=>00010001001
01111101010=>00101000000
10101101111=>11111000101
10110101111=>11100000101
11011011111=>10001110101
11010101111=>10000000101
11111011011=>10101110001
11110110101=>10100011111
11110101101=>10100000111
11110101011=>10100000001
11110111111=>10100010101
11111101111=>10101000101
01010010011=>00000111001
01001001011=>00011100001
01001010011=>00011111001
00100010011=>01110111001
00100100011=>01110001001
00010100011=>01000001001
00001000011=>01011101001
101010101010=>111111111111
101010101100=>111111111001
101010110010=>111111100111
101010110100=>111111100001
101010111000=>111111101101
101011001010=>111110011111
101011001100=>111110011001
101011010010=>111110000111
101011010100=>111110000001
101011011000=>111110001101
101011100010=>111110110111
101011100100=>111110110001
101011101000=>111110111101
101011110000=>111110100101
101100101010=>111001111111
101100101100=>111001111001
101100110010=>111001100111
101100110100=>111001100001
101100111000=>111001101101
101101001010=>111000011111
101101001100=>111000011001
101101010010=>111000000111
101101010100=>111000000001
101101011000=>111000001101
101101100010=>111000110111
101101100100=>111000110001
101101101000=>111000111101
101101110000=>111000100101
101110001010=>111011011111
101110001100=>111011011001
101110010010=>111011000111
101110010100=>111011000001
101110011000=>111011001101
101110100010=>111011110111
101110100100=>111011110001
101110101000=>111011111101
101110110000=>111011100101
101111000010=>111010010111
101111000100=>111010010001
101111001000=>111010011101
101111010000=>111010000101
101111100000=>111010110101
110010101010=>100111111111
110010101100=>100111111001
110010110010=>100111100111
110010110100=>100111100001
110010111000=>100111101101
110011001010=>100110011111
110011001100=>100110011001
110011010010=>100110000111
110011010100=>100110000001
110011011000=>100110001101
110011100010=>100110110111
110011100100=>100110110001
110011101000=>100110111101
110011110000=>100110100101
110100101010=>100001111111
110100101100=>100001111001
110100110010=>100001100111
110100110100=>100001100001
110100111000=>100001101101
110101001010=>100000011111
110101001100=>100000011001
110101010010=>100000000111
110101010100=>100000000001
110101011000=>100000001101
110101100010=>100000110111
110101100100=>100000110001
110101101000=>100000111101
110101110000=>100000100101
110110001010=>100011011111
110110001100=>100011011001
110110010010=>100011000111
110110010100=>100011000001
110110011000=>100011001101
110110100010=>100011110111
110110100100=>100011110001
110110101000=>100011111101
110110110000=>100011100101
110111000010=>100010010111
110111000100=>100010010001
110111001000=>100010011101
110111010000=>100010000101
110111100000=>100010110101
111000101010=>101101111111
111000101100=>101101111001
111000110010=>101101100111
111000110100=>101101100001
111000111000=>101101101101
111001001010=>101100011111
111001001100=>101100011001
111001010010=>101100000111
111001010100=>101100000001
111001011000=>101100001101
111001100010=>101100110111
111001100100=>101100110001
111001101000=>101100111101
111001110000=>101100100101
111010001010=>101111011111
111010001100=>101111011001
111010010010=>101111000111
111010010100=>101111000001
111010011000=>101111001101
111010100010=>101111110111
111010100100=>101111110001
111010101000=>101111111101
111010110000=>101111100101
111011000010=>101110010111
111011000100=>101110010001
111011001000=>101110011101
111011010000=>101110000101
111011100000=>101110110101
111100001010=>101001011111
111100001100=>101001011001
111100010010=>101001000111
111100010100=>101001000001
111100011000=>101001001101
111100100010=>101001110111
111100100100=>101001110001
111100101000=>101001111101
111100110000=>101001100101
111101000010=>101000010111
111101000100=>101000010001
111101001000=>101000011101
111101010000=>101000000101
111101100000=>101000110101
111110000010=>101011010111
111110000100=>101011010001
111110001000=>101011011101
111110010000=>101011000101
111110100000=>101011110101
111111000000=>101010010101
100000000000=>110101010101
100000000010=>110101010111
100000011110=>110101001011
100000111110=>110101101011
100001111110=>110100101011
101111111110=>111010101011
111111111110=>101010101011
100000000100=>110101010001
100000010110=>110101000011
100000101110=>110101111011
100001011110=>110100001011
100010111110=>110111101011
100101111110=>110000101011
110111111110=>100010101011
100000001000=>110101011101
100001001110=>110100011011
100000110110=>110101100011
100010011110=>110111001011
100001101110=>110100111011
100100111110=>110001101011
100011011110=>110110001011
110011111110=>100110101011
111011111110=>101110101011
100000010100=>110101000001
100001000110=>110100010011
100000101010=>110101111111
100010001110=>110111011011
100001010110=>110100000011
100000111010=>110101101111
100100011110=>110001001011
100010101110=>110111111011
100001110110=>110100100011
101000111110=>111101101011
100101011110=>110000001011
100011101110=>110110111011
110001111110=>100100101011
101010111110=>111111101011
100111011110=>110010001011
111101111110=>101000101011
100000100000=>110101110101
100001000010=>110100010111
100010010110=>110111000011
100001100110=>110100110011
100001011010=>110100001111
100000111100=>110101101001
101000011110=>111101001011
100100101110=>110001111011
100011001110=>110110011011
100010110110=>110111100011
100001111010=>110100101111
110000111110=>100101101011
101001011110=>111100001011
100110011110=>110011001011
100101101110=>110000111011
111110111110=>101011101011
100001000000=>110100010101
100010000010=>110111010111
100001000100=>110100010001
100100000110=>110001010011
100010001010=>110111011111
100001010010=>110100000111
100001001100=>110100011001
100010100110=>110111110011
100010011010=>110111001111
100001101010=>110100111111
100001011100=>110100001001
110000011110=>100101001011
101000101110=>111101111011
100101001110=>110000011011
100100110110=>110001100011
100011010110=>110110000011
100010111010=>110111101111
100001111100=>110100101001
110001011110=>100100001011
101010011110=>111111001011
101001101110=>111100111011
100110101110=>110011111011
110100111110=>100001101011
110011011110=>100110001011
101101011110=>111000001011
101011101110=>111110111011
100111110110=>110010100011
111111011110=>101010001011
100010000000=>110111010101
100010000100=>110111010001
100001001000=>110100011101
100100001010=>110001011111
100010010010=>110111000111
110000001110=>100101011011
100011000110=>110110010011
100010101010=>110111111111
100010011100=>110111001001
100001110010=>110100100111
100001101100=>110100111001
110000101110=>100101111011
101001001110=>111100011011
101000110110=>111101100011
100110001110=>110011011011
100101010110=>110000000011
100100111010=>110001101111
100011100110=>110110110011
100011011010=>110110001111
100010111100=>110111101001
110010011110=>100111001011
110001101110=>100100111011
101100011110=>111001001011
101010101110=>111111111011
100111001110=>110010011011
100011111100=>110110101001
110011101110=>100110111011
111111101110=>101010111011
010101010101=>000000000000
010101010011=>000000000110
010101001101=>000000011000
010101001011=>000000011110
010101000111=>000000010010
010100110101=>000001100000
010100110011=>000001100110
010100101101=>000001111000
010100101011=>000001111110
010100100111=>000001110010
010100011101=>000001001000
010100011011=>000001001110
010100010111=>000001000010
010100001111=>000001011010
010011010101=>000110000000
010011010011=>000110000110
010011001101=>000110011000
010011001011=>000110011110
010011000111=>000110010010
010010110101=>000111100000
010010110011=>000111100110
010010101101=>000111111000
010010101011=>000111111110
010010100111=>000111110010
010010011101=>000111001000
010010011011=>000111001110
010010010111=>000111000010
010010001111=>000111011010
010001110101=>000100100000
010001110011=>000100100110
010001101101=>000100111000
010001101011=>000100111110
010001100111=>000100110010
010001011101=>000100001000
010001011011=>000100001110
010001010111=>000100000010
010001001111=>000100011010
010000111101=>000101101000
010000111011=>000101101110
010000110111=>000101100010
010000101111=>000101111010
010000011111=>000101001010
001101010101=>011000000000
001101010011=>011000000110
001101001101=>011000011000
001101001011=>011000011110
001101000111=>011000010010
001100110101=>011001100000
001100110011=>011001100110
001100101101=>011001111000
001100101011=>011001111110
001100100111=>011001110010
001100011101=>011001001000
001100011011=>011001001110
001100010111=>011001000010
001100001111=>011001011010
001011010101=>011110000000
001011010011=>011110000110
001011001101=>011110011000
001011001011=>011110011110
001011000111=>011110010010
001010110101=>011111100000
001010110011=>011111100110
001010101101=>011111111000
001010101011=>011111111110
001010100111=>011111110010
001010011101=>011111001000
001010011011=>011111001110
001010010111=>011111000010
001010001111=>011111011010
001001110101=>011100100000
001001110011=>011100100110
001001101101=>011100111000
001001101011=>011100111110
001001100111=>011100110010
001001011101=>011100001000
001001011011=>011100001110
001001010111=>011100000010
001001001111=>011100011010
001000111101=>011101101000
001000111011=>011101101110
001000110111=>011101100010
001000101111=>011101111010
001000011111=>011101001010
000111010101=>010010000000
000111010011=>010010000110
000111001101=>010010011000
000111001011=>010010011110
000111000111=>010010010010
000110110101=>010011100000
000110110011=>010011100110
000110101101=>010011111000
000110101011=>010011111110
000110100111=>010011110010
000110011101=>010011001000
000110011011=>010011001110
000110010111=>010011000010
000110001111=>010011011010
000101110101=>010000100000
000101110011=>010000100110
000101101101=>010000111000
000101101011=>010000111110
000101100111=>010000110010
000101011101=>010000001000
000101011011=>010000001110
000101010111=>010000000010
000101001111=>010000011010
000100111101=>010001101000
000100111011=>010001101110
000100110111=>010001100010
000100101111=>010001111010
000100011111=>010001001010
000011110101=>010110100000
000011110011=>010110100110
000011101101=>010110111000
000011101011=>010110111110
000011100111=>010110110010
000011011101=>010110001000
000011011011=>010110001110
000011010111=>010110000010
000011001111=>010110011010
000010111101=>010111101000
000010111011=>010111101110
000010110111=>010111100010
000010101111=>010111111010
000010011111=>010111001010
000001111101=>010100101000
000001111011=>010100101110
000001110111=>010100100010
000001101111=>010100111010
000001011111=>010100001010
000000111111=>010101101010
111111111111=>101010101010
111110000001=>101011010100
111110100101=>101011110000
111001100001=>101100110100
111001101101=>101100111000
111000011001=>101101001100
111000000111=>101101010010
111000001101=>101101011000
111000110001=>101101100100
111000100101=>101101110000
111011011001=>101110001100
111011000001=>101110010100
111011001101=>101110011000
111011100101=>101110110000
111010010001=>101111000100
111010011101=>101111001000
111010000101=>101111010000
100111100001=>110010110100
100111101101=>110010111000
100110011001=>110011001100
100110000111=>110011010010
100110001101=>110011011000
100110110111=>110011100010
100110110001=>110011100100
100110100101=>110011110000
100001111001=>110100101100
100001100111=>110100110010
100001101101=>110100111000
100000011111=>110101001010
100000110111=>110101100010
100000110001=>110101100100
100000111101=>110101101000
100000100101=>110101110000
100011011001=>110110001100
100011000111=>110110010010
100011001101=>110110011000
100011110001=>110110100100
100011100101=>110110110000
100010010111=>110111000010
100010010001=>110111000100
100010011101=>110111001000
100010000101=>110111010000
100010110101=>110111100000
101101111001=>111000101100
101101100111=>111000110010
101101100001=>111000110100
101101101101=>111000111000
101100011111=>111001001010
101100011001=>111001001100
101100000111=>111001010010
101100001101=>111001011000
101100110111=>111001100010
101100110001=>111001100100
101100111101=>111001101000
101100100101=>111001110000
101111011001=>111010001100
101111000111=>111010010010
101111000001=>111010010100
101111001101=>111010011000
101111110001=>111010100100
101110010111=>111011000010
101110010001=>111011000100
101110000101=>111011010000
101001011111=>111100001010
101001011001=>111100001100
101001000111=>111100010010
101001000001=>111100010100
101001001101=>111100011000
101001110111=>111100100010
101001110001=>111100100100
101001100101=>111100110000
101000010111=>111101000010
101000010001=>111101000100
101000011101=>111101001000
101000110101=>111101100000
101011010001=>111110000100
101011000101=>111110010000
101010010101=>111111000000
000000000000=>010101010101
000001111110=>010100101011
000110011110=>010011001011
000111100110=>010010110011
000111111000=>010010101101
000111110010=>010010100111
000111001110=>010010011011
000111011010=>010010001111
000100100000=>010001110101
000100111000=>010001101101
000100111110=>010001101011
000101101000=>010000111101
000101101110=>010000111011
000101111010=>010000101111
011000011110=>001101001011
011001100110=>001100110011
011001111000=>001100101101
011001110010=>001100100111
011001001000=>001100011101
011001001110=>001100011011
011001011010=>001100001111
011110000110=>001011010011
011110011000=>001011001101
011110010010=>001011000111
011111100000=>001010110101
011111001000=>001010011101
011111000010=>001010010111
011100100110=>001001110011
011100111000=>001001101101
011100110010=>001001100111
011100011010=>001001001111
011101101000=>001000111101
011101100010=>001000110111
011101001010=>001000011111
010010000110=>000111010011
010010011000=>000111001101
010010011110=>000111001011
010011100110=>000110110011
010011111000=>000110101101
010011110010=>000110100111
010011001000=>000110011101
010011001110=>000110011011
010011011010=>000110001111
010000100000=>000101110101
010000111110=>000101101011
010001101000=>000100111101
010001101110=>000100111011
010001111010=>000100101111
010110100000=>000011110101
010110100110=>000011110011
010110111000=>000011101101
010110111110=>000011101011
010110110010=>000011100111
010110001000=>000011011101
010110001110=>000011011011
010110011010=>000011001111
010111101000=>000010111101
010111101110=>000010111011
010111100010=>000010110111
010111001010=>000010011111
010100101000=>000001111101
010100101110=>000001111011
010100111010=>000001101111
010101101010=>000000111111
001010101010=>011111111111
001010101100=>011111111001
001010110010=>011111100111
001010110100=>011111100001
001010111000=>011111101101
001011001010=>011110011111
001011001100=>011110011001
001011010010=>011110000111
001011010100=>011110000001
001011011000=>011110001101
001011100010=>011110110111
001011100100=>011110110001
001011101000=>011110111101
001011110000=>011110100101
001100101010=>011001111111
001100101100=>011001111001
001100110010=>011001100111
001100110100=>011001100001
001100111000=>011001101101
001101001010=>011000011111
001101001100=>011000011001
001101010010=>011000000111
001101010100=>011000000001
001101011000=>011000001101
001101100010=>011000110111
001101100100=>011000110001
001101101000=>011000111101
001101110000=>011000100101
001110001010=>011011011111
001110001100=>011011011001
001110010010=>011011000111
001110010100=>011011000001
001110011000=>011011001101
001110100010=>011011110111
001110100100=>011011110001
001110101000=>011011111101
001110110000=>011011100101
001111000010=>011010010111
001111000100=>011010010001
001111001000=>011010011101
001111010000=>011010000101
001111100000=>011010110101
010010101010=>000111111111
010010101100=>000111111001
010010110010=>000111100111
010010110100=>000111100001
010010111000=>000111101101
010011001010=>000110011111
010011001100=>000110011001
010011010010=>000110000111
010011010100=>000110000001
010011011000=>000110001101
010011100010=>000110110111
010011100100=>000110110001
010011101000=>000110111101
010011110000=>000110100101
010100101010=>000001111111
010100101100=>000001111001
010100110010=>000001100111
010100110100=>000001100001
010100111000=>000001101101
010101001010=>000000011111
010101001100=>000000011001
010101010010=>000000000111
010101010100=>000000000001
010101011000=>000000001101
010101100010=>000000110111
010101100100=>000000110001
010101101000=>000000111101
010101110000=>000000100101
010110001010=>000011011111
010110001100=>000011011001
010110010010=>000011000111
010110010100=>000011000001
010110011000=>000011001101
010110100010=>000011110111
010110100100=>000011110001
010110101000=>000011111101
010110110000=>000011100101
010111000010=>000010010111
010111000100=>000010010001
010111001000=>000010011101
010111010000=>000010000101
010111100000=>000010110101
011000101010=>001101111111
011000101100=>001101111001
011000110010=>001101100111
011000110100=>001101100001
011000111000=>001101101101
011001001010=>001100011111
011001001100=>001100011001
011001010010=>001100000111
011001010100=>001100000001
011001011000=>001100001101
011001100010=>001100110111
011001100100=>001100110001
011001101000=>001100111101
011001110000=>001100100101
011010001010=>001111011111
011010001100=>001111011001
011010010010=>001111000111
011010010100=>001111000001
011010011000=>001111001101
011010100010=>001111110111
011010100100=>001111110001
011010101000=>001111111101
011010110000=>001111100101
011011000010=>001110010111
011011000100=>001110010001
011011001000=>001110011101
011011010000=>001110000101
011011100000=>001110110101
011100001010=>001001011111
011100001100=>001001011001
011100010010=>001001000111
011100010100=>001001000001
011100011000=>001001001101
011100100010=>001001110111
011100100100=>001001110001
011100101000=>001001111101
011100110000=>001001100101
011101000010=>001000010111
011101000100=>001000010001
011101001000=>001000011101
011101010000=>001000000101
011101100000=>001000110101
011110000010=>001011010111
011110000100=>001011010001
011110001000=>001011011101
011110010000=>001011000101
011110100000=>001011110101
011111000000=>001010010101
010101010110=>000000000011
010101011001=>000000001100
010101011010=>000000001111
010101011100=>000000001001
010101100101=>000000110000
010101100110=>000000110011
010101101001=>000000111100
010101101100=>000000111001
010101110001=>000000100100
010101110010=>000000100111
010101110100=>000000100001
010101111000=>000000101101
010110010101=>000011000000
010110010110=>000011000011
010110011001=>000011001100
010110011100=>000011001001
010110100101=>000011110000
010110101001=>000011111100
010110101010=>000011111111
010110101100=>000011111001
010110110001=>000011100100
010110110100=>000011100001
010111000101=>000010010000
010111000110=>000010010011
010111001001=>000010011100
010111001100=>000010011001
010111010001=>000010000100
010111010010=>000010000111
010111010100=>000010000001
010111011000=>000010001101
010111100001=>000010110100
010111100100=>000010110001
010111110000=>000010100101
011001010101=>001100000000
011001010110=>001100000011
011001011001=>001100001100
011001011100=>001100001001
011001100101=>001100110000
011001101001=>001100111100
011001101010=>001100111111
011001101100=>001100111001
011001110001=>001100100100
011001110100=>001100100001
011010010101=>001111000000
011010010110=>001111000011
011010011001=>001111001100
011010011010=>001111001111
011010011100=>001111001001
011010100101=>001111110000
011010100110=>001111110011
011010101001=>001111111100
011010101010=>001111111111
011010101100=>001111111001
011010110001=>001111100100
011010110010=>001111100111
011010110100=>001111100001
011010111000=>001111101101
011011000101=>001110010000
011011000110=>001110010011
011011001001=>001110011100
011011001010=>001110011111
011011001100=>001110011001
011011010001=>001110000100
011011010010=>001110000111
011011010100=>001110000001
011011011000=>001110001101
011011100001=>001110110100
011011100010=>001110110111
011011100100=>001110110001
011011101000=>001110111101
011011110000=>001110100101
011100010101=>001001000000
011100010110=>001001000011
011100011001=>001001001100
011100011100=>001001001001
011100100101=>001001110000
011100101001=>001001111100
011100101010=>001001111111
011100101100=>001001111001
011100110001=>001001100100
011100110100=>001001100001
011101000101=>001000010000
011101000110=>001000010011
011101001001=>001000011100
011101001100=>001000011001
011101010001=>001000000100
011101010010=>001000000111
011101010100=>001000000001
011101011000=>001000001101
011101100001=>001000110100
011101100100=>001000110001
011101110000=>001000100101
011110000101=>001011010000
011110001001=>001011011100
011110001010=>001011011111
011110001100=>001011011001
011110010001=>001011000100
011110010100=>001011000001
011110100001=>001011110100
011110100010=>001011110111
011110100100=>001011110001
011110101000=>001011111101
011110110000=>001011100101
011111000001=>001010010100
011111000100=>001010010001
011111010000=>001010000101
001111000110=>011010010011
001111001010=>011010011111
100111001100=>110010011001
001111001100=>011010011001
001011010110=>011110000011
001111010010=>011010000111
100111010100=>110010000001
001111010100=>011010000001
000111010110=>010010000011
001011011010=>011110001111
100111011000=>110010001101
001111011000=>011010001101
100011011100=>110110001001
010011011100=>000110001001
001011011100=>011110001001
000111011100=>010010001001
000011011110=>010110001011
001101100110=>011000110011
001101101010=>011000111111
100101101100=>110000111001
001101101100=>011000111001
001011100110=>011110110011
001111100010=>011010110111
100111100100=>110010110001
001111100100=>011010110001
010011101010=>000110111111
001011101010=>011110111111
100111101000=>110010111101
001111101000=>011010111101
000111101010=>010010111111
100011101100=>110110111001
010011101100=>000110111001
001011101100=>011110111001
000111101100=>010010111001
000011101110=>010110111011
101001110100=>111100100001
001001110110=>011100100011
001101110010=>011000100111
100101110100=>110000100001
001101110100=>011000100001
000101110110=>010000100011
001011110010=>011110100111
100111110000=>110010100101
001111110000=>011010100101
100011110100=>110110100001
010011110100=>000110100001
001011110100=>011110100001
000111110100=>010010100001
000011110110=>010110100011
110001111000=>100100101101
101001111000=>111100101101
001001111010=>011100101111
100101111000=>110000101101
001101111000=>011000101101
100011111000=>110110101101
001011111000=>011110101101
000011111010=>010110101111
010001111100=>000100101001
001001111100=>011100101001
000101111100=>010000101001
000011111100=>010110101001
100101010101=>110000000000
100101011001=>110000001100
100101100101=>110000110000
100101101001=>110000111100
100101110001=>110000100100
100110010101=>110011000000
100110101001=>110011111100
100111000101=>110010010000
100111001001=>110010011100
100111010001=>110010000100
101001010101=>111100000000
101001101001=>111100111100
101010011001=>111111001100
101010100101=>111111110000
101010101001=>111111111100
101010110001=>111111100100
101011001001=>111110011100
101011100001=>111110110100
101100010101=>111001000000
101100101001=>111001111100
101101000101=>111000010000
101101001001=>111000011100
101101010001=>111000000100
101110001001=>111011011100
101110100001=>111011110100
110001010101=>100100000000
110001011001=>100100001100
110001100101=>100100110000
110001101001=>100100111100
110001110001=>100100100100
110010010101=>100111000000
110010011001=>100111001100
110010100101=>100111110000
110010101001=>100111111100
110010110001=>100111100100
110011000101=>100110010000
110011001001=>100110011100
110011010001=>100110000100
110011100001=>100110110100
110100010101=>100001000000
110100011001=>100001001100
110100100101=>100001110000
110100101001=>100001111100
110100110001=>100001100100
110101000101=>100000010000
110101001001=>100000011100
110101010001=>100000000100
110101100001=>100000110100
110110000101=>100011010000
110110001001=>100011011100
110110010001=>100011000100
110110100001=>100011110100
110111000001=>100010010100
111000010101=>101101000000
111000101001=>101101111100
111001000101=>101100010000
111001001001=>101100011100
111001010001=>101100000100
111010001001=>101111011100
111010100001=>101111110100
111100000101=>101001010000
111100001001=>101001011100
111100010001=>101001000100
111100100001=>101001110100
111101000001=>101000010100
110101000011=>100000010110
110100011100=>100001001001
110100000111=>100001010010
110011000011=>100110010110
110110000011=>100011010110
110001110100=>100100100001
110000111100=>100101101001
110000001111=>100101011010
011101000011=>001000010110
011100000111=>001001010010
111001000011=>101100010110
111010000011=>101111010110
111000011100=>101101001001
001111010001=>011010000100
001111000011=>011010010110
011110000011=>001011010110
111100000011=>101001010110
000111110001=>010010100100
001111100001=>011010110100
110101010101=>100000000000
110101010011=>100000000110
110101001101=>100000011000
110101011001=>100000001100
110101000111=>100000010010
110100110101=>100001100000
110100110011=>100001100110
110101100101=>100000110000
110101101001=>100000111100
110101100011=>100000110110
110100011101=>100001001000
110100111001=>100001101100
110101110001=>100000100100
110100001111=>100001011010
110011010101=>100110000000
110011010011=>100110000110
110011001101=>100110011000
110011011001=>100110001100
110011000111=>100110010010
110110010101=>100011000000
110110010011=>100011000110
110110100101=>100011110000
110110101001=>100011111100
110110100011=>100011110110
110110001101=>100011011000
110110011001=>100011001100
110110110001=>100011100100
110110000111=>100011010010
110001110101=>100100100000
110001110011=>100100100110
110011100101=>100110110000
110011101001=>100110111100
110011100011=>100110110110
110111000101=>100010010000
110111001001=>100010011100
110111010001=>100010000100
110111000011=>100010010110
110000111101=>100101101000
110001111001=>100100101100
110011110001=>100110100100
110111100001=>100010110100
110000011111=>100101001010
011101010101=>001000000000
011101010011=>001000000110
011101001101=>001000011000
011101011001=>001000001100
011101000111=>001000010010
011100110101=>001001100000
011100110011=>001001100110
011101100101=>001000110000
011101101001=>001000111100
011101100011=>001000110110
011100011101=>001001001000
011100111001=>001001101100
011101110001=>001000100100
011100001111=>001001011010
111001010101=>101100000000
111001010011=>101100000110
111001001101=>101100011000
111001011001=>101100001100
111001000111=>101100010010
111010010101=>101111000000
111010010011=>101111000110
111010100101=>101111110000
111010101001=>101111111100
111010100011=>101111110110
111010001101=>101111011000
111010011001=>101111001100
111010110001=>101111100100
111010000111=>101111010010
111000110101=>101101100000
111000110011=>101101100110
111001100101=>101100110000
111001101001=>101100111100
111001100011=>101100110110
111011000101=>101110010000
111011001001=>101110011100
111011010001=>101110000100
111011000011=>101110010110
111000011101=>101101001000
111000111001=>101101101100
111001110001=>101100100100
111011100001=>101110110100
111000001111=>101101011010
001111010101=>011010000000
001111010011=>011010000110
001111001101=>011010011000
001111011001=>011010001100
001111000111=>011010010010
011110010101=>001011000000
011110010011=>001011000110
011110100101=>001011110000
011110101001=>001011111100
011110100011=>001011110110
011110001101=>001011011000
011110011001=>001011001100
011110110001=>001011100100
011110000111=>001011010010
111100010101=>101001000000
111100010011=>101001000110
111100100101=>101001110000
111100101001=>101001111100
111100100011=>101001110110
111101000101=>101000010000
111101001001=>101000011100
111101010001=>101000000100
111101000011=>101000010110
111100001101=>101001011000
111100011001=>101001001100
111100110001=>101001100100
111101100001=>101000110100
111100000111=>101001010010
000111110101=>010010100000
000111110011=>010010100110
001111100101=>011010110000
001111101001=>011010111100
001111100011=>011010110110
011111000101=>001010010000
011111001001=>001010011100
011111010001=>001010000100
011111000011=>001010010110
111110000101=>101011010000
111110001001=>101011011100
111110010001=>101011000100
111110100001=>101011110100
111110000011=>101011010110
000011111101=>010110101000
000111111001=>010010101100
001111110001=>011010100100
011111100001=>001010110100
111111000001=>101010010100
000001111111=>010100101010
000111010100=>010010000001
000110110100=>010011100001
010001110100=>000100100001
001001110100=>011100100001
000101110100=>010000100001
000011110100=>010110100001
000111001100=>010010011001
000110101100=>010011111001
010001101100=>000100111001
001001101100=>011100111001
000101101100=>010000111001
000011101100=>010110111001
010100011100=>000001001001
001100011100=>011001001001
010010011100=>000111001001
001010011100=>011111001001
000110011100=>010011001001
010001011100=>000100001001
001001011100=>011100001001
000101011100=>010000001001
000011011100=>010110001001
010000111100=>000101101001
001000111100=>011101101001
000100111100=>010001101001
000010111100=>010111101001
000001111100=>010100101001
000111010010=>010010000111
000110110010=>010011100111
010001110010=>000100100111
001001110010=>011100100111
000101110010=>010000100111
000011110010=>010110100111
000111001010=>010010011111
000110101010=>010011111111
010001101010=>000100111111
001001101010=>011100111111
000101101010=>010000111111
000011101010=>010110111111
010100011010=>000001001111
001100011010=>011001001111
010010011010=>000111001111
001010011010=>011111001111
000110011010=>010011001111
010001011010=>000100001111
001001011010=>011100001111
000101011010=>010000001111
000011011010=>010110001111
010000111010=>000101101111
001000111010=>011101101111
000100111010=>010001101111
000010111010=>010111101111
000001111010=>010100101111
010101000110=>000000010011
001101000110=>011000010011
010011000110=>000110010011
001011000110=>011110010011
000111000110=>010010010011
010100100110=>000001110011
001100100110=>011001110011
010010100110=>000111110011
001010100110=>011111110011
000110100110=>010011110011
010001100110=>000100110011
001001100110=>011100110011
000101100110=>010000110011
000011100110=>010110110011
010100010110=>000001000011
001100010110=>011001000011
010010010110=>000111000011
001010010110=>011111000011
000110010110=>010011000011
010001010110=>000100000011
001001010110=>011100000011
000101010110=>010000000011
000011010110=>010110000011
010000110110=>000101100011
001000110110=>011101100011
000100110110=>010001100011
000010110110=>010111100011
000001110110=>010100100011
010100001110=>000001011011
001100001110=>011001011011
010010001110=>000111011011
001010001110=>011111011011
000110001110=>010011011011
010001001110=>000100011011
001001001110=>011100011011
000101001110=>010000011011
000011001110=>010110011011
010000101110=>000101111011
001000101110=>011101111011
000100101110=>010001111011
000010101110=>010111111011
000001101110=>010100111011
010000011110=>000101001011
001000011110=>011101001011
000100011110=>010001001011
000010011110=>010111001011
000001011110=>010100001011
000000111110=>010101101011
101110011001=>111011001100
100100011001=>110001001100
101000011001=>111101001100
100110111001=>110011101100
101110111001=>111011101100
100100111001=>110001101100
101100111001=>111001101100
101000111001=>111101101100
100101111001=>110000101100
101001111001=>111100101100
101011111001=>111110101100
100110010001=>110011000100
100100010001=>110001000100
101100010001=>111001000100
101110110001=>111011100100
100100110001=>110001100100
101000110001=>111101100100
101101110001=>111000100100
101011110001=>111110100100
100110100001=>110011110100
100100100001=>110001110100
101100100001=>111001110100
101000100001=>111101110100
100101100001=>110000110100
101001100001=>111100110100
100101000001=>110000010100
101101000001=>111000010100
101011000001=>111110010100
101010000001=>111111010100
100110011011=>110011001110
101110011011=>111011001110
100100011011=>110001001110
101100011011=>111001001110
101000011011=>111101001110
100110111011=>110011101110
101110111011=>111011101110
100100111011=>110001101110
101100111011=>111001101110
101000111011=>111101101110
100101111011=>110000101110
101101111011=>111000101110
101001111011=>111100101110
101011111011=>111110101110
100110010011=>110011000110
101110010011=>111011000110
100100010011=>110001000110
101100010011=>111001000110
101000010011=>111101000110
100110110011=>110011100110
101110110011=>111011100110
100100110011=>110001100110
101100110011=>111001100110
101000110011=>111101100110
100101110011=>110000100110
101101110011=>111000100110
101001110011=>111100100110
101011110011=>111110100110
100110100011=>110011110110
101110100011=>111011110110
100100100011=>110001110110
101100100011=>111001110110
101000100011=>111101110110
100101100011=>110000110110
101101100011=>111000110110
101001100011=>111100110110
101011100011=>111110110110
100101000011=>110000010110
101101000011=>111000010110
101001000011=>111100010110
101011000011=>111110010110
101010000011=>111111010110
100110010111=>110011000010
100100010111=>110001000010
101100010111=>111001000010
101110110111=>111011100010
100100110111=>110001100010
101000110111=>111101100010
100101110111=>110000100010
101101110111=>111000100010
101011110111=>111110100010
100110100111=>110011110010
101110100111=>111011110010
100100100111=>110001110010
101100100111=>111001110010
101000100111=>111101110010
100101100111=>110000110010
101001100111=>111100110010
101011100111=>111110110010
100101000111=>110000010010
101101000111=>111000010010
101011000111=>111110010010
101010000111=>111111010010
100110101111=>110011111010
101110101111=>111011111010
100100101111=>110001111010
101100101111=>111001111010
101000101111=>111101111010
100101101111=>110000111010
101101101111=>111000111010
101001101111=>111100111010
101011101111=>111110111010
100101001111=>110000011010
101101001111=>111000011010
101001001111=>111100011010
101011001111=>111110011010
101010001111=>111111011010
100101011111=>110000001010
101101011111=>111000001010
101011011111=>111110001010
101010011111=>111111001010
101010111111=>111111101010
100110101010=>110011111111
101001101010=>111100111111
100101101010=>110000111111
100011101010=>110110111111
101010011010=>111111001111
100110011010=>110011001111
101001011010=>111100001111
100101011010=>110000001111
101000111010=>111101101111
101010100110=>111111110011
100110100110=>110011110011
101001100110=>111100110011
100101100110=>110000110011
101010010110=>111111000011
100110010110=>110011000011
101001010110=>111100000011
101010001110=>111111011011
100011101001=>110110111100
100010111001=>110111101100
100011010101=>110110000000
100100110101=>110001100000
100001110101=>110100100000
101010001101=>111111011000
100101001101=>110000011000
101000101101=>111101111000
100100101101=>110001111000
100010101101=>110111111000
100100011101=>110001001000
100001011101=>110100001000
101010100011=>111111110110
100011100011=>110110110110
101010010011=>111111000110
101001010011=>111100000110
100101010011=>110000000110
100011010011=>110110000110
100010110011=>110111100110
100001110011=>110100100110
101010001011=>111111011110
100110001011=>110011011110
101001001011=>111100011110
100101001011=>110000011110
100011001011=>110110011110
101000101011=>111101111110
100100101011=>110001111110
100010101011=>110111111110
100001101011=>110100111110
100010011011=>110111001110
100001011011=>110100001110
100000111011=>110101101110
100010100111=>110111110010
100001010111=>110100000010
101000001111=>111101011010
100100001111=>110001011010
100010001111=>110111011010
100001001111=>110100011010
100000101111=>110101111010
110000111001=>100101101100
110000110101=>100101100000
110010001101=>100111011000
110100001101=>100001011000
110000101101=>100101111000
110000011101=>100101001000
011100100011=>001001110110
011010010011=>001111000110
011100010011=>001001000110
011000110011=>001101100110
010110001011=>000011011110
011010001011=>001111011110
011100001011=>001001011110
011000101011=>001101111110
011000011011=>001101001110
101110000011=>111011010110
110100100011=>100001110110
111000100011=>101101110110
110010010011=>100111000110
110100010011=>100001000110
111000010011=>101101000110
110000110011=>100101100110
101100001011=>111001011110
110010001011=>100111011110
110100001011=>100001011110
111000001011=>101101011110
110000101011=>100101111110
110000011011=>100101001110
001110000111=>011011010010
010110000111=>000011010010
011010000111=>001111010010
011000100111=>001101110010
011000010111=>001101000010
110010000111=>100111010010
110000100111=>100101110010
110000010111=>100101000010
011000001111=>001101011010
001110101010=>011011111111
001110011010=>011011001111
001101011010=>011000001111
011000111010=>001101101111
001100111010=>011001101111
010010111010=>000111101111
001010111010=>011111101111
000110111010=>010011101111
001110100110=>011011110011
001110010110=>011011000011
001101010110=>011000000011
010011010110=>000110000011
011000110110=>001101100011
010100110110=>000001100011
001100110110=>011001100011
010010110110=>000111100011
001010110110=>011111100011
000110110110=>010011100011
010001110110=>000100100011
011010001110=>001111011011
001110001110=>011011011011
010101001110=>000000011011
001101001110=>011000011011
001011001110=>011110011011
011000101110=>001101111011
001100101110=>011001111011
010010101110=>000111111011
001010101110=>011111111011
000110101110=>010011111011
001001101110=>011100111011
010100011110=>000001001011
001100011110=>011001001011
001010011110=>011111001011
010001011110=>000100001011
001001011110=>011100001011
000101011110=>010000001011
001000111110=>011101101011
000010111110=>010111101011
010100000000=>000001010101
000101000000=>010000010101
010001000000=>000100010101
011011000000=>001110010101
000001010000=>010100000101
010101010000=>000000000101
000100010000=>010001000101
010000010000=>000101000101
011010010000=>001111000101
000110110000=>010011100101
010010110000=>000111100101
011000110000=>001101100101
000000010100=>010101000001
010100010100=>000001000001
000101010100=>010000000001
010001010100=>000100000001
000001000100=>010100010001
010101000100=>000000010001
000100000100=>010001010001
010000000100=>000101010001
011010000100=>001111010001
000110100100=>010011110001
010010100100=>000111110001
011000100100=>001101110001
000001101100=>010100111001
000100101100=>010001111001
010000101100=>000101111001
000110001100=>010011011001
010010001100=>000111011001
011000001100=>001101011001
011110111100=>001011101001
000000000101=>010101010000
010100000101=>000001010000
000101000101=>010000010000
010001000101=>000100010000
000001010101=>010100000000
000100010101=>010001000000
010000010101=>000101000000
011000110101=>001101100000
011101110101=>001000100000
000000010001=>010101000100
010100010001=>000001000100
000101010001=>010000000100
010001010001=>000100000100
000001000001=>010100010100
010101000001=>000000010100
000100000001=>010001010100
010000000001=>000101010100
011010000001=>001111010100
000110100001=>010011110100
010010100001=>000111110100
011000100001=>001101110100
000001101001=>010100111100
000100101001=>010001111100
010000101001=>000101111100
000110001001=>010011011100
010010001001=>000111011100
011000001001=>001101011100
000111011001=>010010001100
010011011001=>000110001100
011110111001=>001011101100
000000011011=>010101001110
011011011011=>001110001110
000001001011=>010100011110
000100001011=>010001011110
010000001011=>000101011110
011101101011=>001000111110
000001100011=>010100110110
010101100011=>000000110110
000100100011=>010001110110
010000100011=>000101110110
011010100011=>001111110110
000110000011=>010011010110
010010000011=>000111010110
011000000011=>001101010110
011001010011=>001100000110
011110110011=>001011100110
010101110111=>000000100010
011010110111=>001111100010
011101010111=>001000000010
011001000111=>001100010010
011110100111=>001011110010
000111101111=>010010111010
010011101111=>000110111010
011001101111=>001100111010
011100101111=>001001111010
011110001111=>001011011010
011111011111=>001010001010
101101010101=>111000000000
101011010101=>111110000000
100111010101=>110010000000
101100110101=>111001100000
110010110101=>100111100000
101010110101=>111111100000
100110110101=>110011100000
101001110101=>111100100000
100101110101=>110000100000
100011110101=>110110100000
101101001101=>111000011000
101011001101=>111110011000
100111001101=>110010011000
110100101101=>100001111000
101100101101=>111001111000
110010101101=>100111111000
101010101101=>111111111000
100110101101=>110011111000
110001101101=>100100111000
101001101101=>111100111000
100101101101=>110000111000
100011101101=>110110111000
101100011101=>111001001000
110010011101=>100111001000
101010011101=>111111001000
100110011101=>110011001000
110001011101=>100100001000
101001011101=>111100001000
100101011101=>110000001000
100011011101=>110110001000
101000111101=>111101101000
100100111101=>110001101000
100010111101=>110111101000
100001111101=>110100101000
101101010011=>111000000110
101011010011=>111110000110
100111010011=>110010000110
110010110011=>100111100110
101010110011=>111111100110
100011110011=>110110100110
110101001011=>100000011110
101101001011=>111000011110
110011001011=>100110011110
101011001011=>111110011110
100111001011=>110010011110
110100101011=>100001111110
101100101011=>111001111110
110010101011=>100111111110
101010101011=>111111111110
100110101011=>110011111110
110001101011=>100100111110
101001101011=>111100111110
100101101011=>110000111110
100011101011=>110110111110
110100011011=>100001001110
110010011011=>100111001110
101010011011=>111111001110
110001011011=>100100001110
101001011011=>111100001110
100101011011=>110000001110
100011011011=>110110001110
110000111011=>100101101110
100010111011=>110111101110
100001111011=>110100101110
100111000111=>110010010010
110100100111=>100001110010
110010100111=>100111110010
101010100111=>111111110010
110001100111=>100100110010
100011100111=>110110110010
110100010111=>100001000010
110010010111=>100111000010
101010010111=>111111000010
110001010111=>100100000010
101001010111=>111100000010
100101010111=>110000000010
100011010111=>110110000010
110000110111=>100101100010
100010110111=>110111100010
100001110111=>110100100010
101100001111=>111001011010
110010001111=>100111011010
100110001111=>110011011010
110001001111=>100100011010
100011001111=>110110011010
110000101111=>100101111010
100010101111=>110111111010
100001101111=>110100111010
101000011111=>111101001010
100100011111=>110001001010
100010011111=>110111001010
100001011111=>110100001010
100000111111=>110101101010
011000111100=>001101101001
010100111100=>000001101001
001100111001=>011001101100
001100111100=>011001101001
010010111100=>000111101001
001010111001=>011111101100
001010111100=>011111101001
000110111001=>010011101100
000110111100=>010011101001
001110110001=>011011100100
001110110010=>011011100111
001110110100=>011011100001
001110111000=>011011101101
001101101001=>011000111100
001001111001=>011100101100
000101111001=>010000101100
001101110001=>011000100100
001011100101=>011110110000
001011101001=>011110111100
000011111001=>010110101100
001011110001=>011110100100
000111100011=>010010110110
000111100101=>010010110000
000111101001=>010010111100
000111100001=>010010110100
000110011001=>010011001100
000110110001=>010011100100
000110100101=>010011110000
001101100001=>011000110100
001100011001=>011001001100
001100110001=>011001100100
001100100101=>011001110000
001111000001=>011010010100
001110010001=>011011000100
001110000101=>011011010000
001001011001=>011100001100
001001110001=>011100100100
001001100101=>011100110000
001011010001=>011110000100
001011000101=>011110010000
001010010101=>011111000000
111000101011=>101101111110
111001001011=>101100011110
101110001011=>111011011110
110110001011=>100011011110
111010001011=>101111011110
111100001011=>101001011110
101111000011=>111010010110
111000101101=>101101111000
101110001101=>111011011000
101110010101=>111011000000
101011100101=>111110110000
101101100101=>111000110000
101110100101=>111011110000
101111000101=>111010010000
101010111001=>111111101100
110010111001=>100111101100
101011011001=>111110001100
101101011001=>111000001100
101011101001=>111110111100
101101101001=>111000111100
101110101001=>111011111100
101111001001=>111010011100
101111010001=>111010000100
101111100001=>111010110100
001011100011=>011110110110
001110001011=>011011011110
111000001110=>101101011011
001011011001=>011110001100
001101011001=>011000001100
001101011100=>011000001001
001101100011=>011000110110
001101100101=>011000110000
001110001101=>011011011000
001110010011=>011011000110
001110010101=>011011000000
001110011001=>011011001100
001110011100=>011011001001
001110100011=>011011110110
001110100101=>011011110000
001110101001=>011011111100
001110101100=>011011111001
001111000101=>011010010000
001111001001=>011010011100
010010111001=>000111101100
010011100101=>000110110000
010011101001=>000110111100
010011110001=>000110100100
010001111001=>000100101100
100111100010=>110010110111
101001110010=>111100100111
100011110010=>110110100111
110001010110=>100100000011
101100011010=>111001001111
100110111000=>110011101101
101001101100=>111100111001
110001011100=>100100001001
100101011100=>110000001001
101000111100=>111101101001
111010000110=>101111010011
101110000110=>111011010011
100110110010=>110011100111
110010011010=>100111001111
101100100110=>111001110011
110000111010=>100101101111
111000100110=>101101110011
110100010110=>100001000011
101100001110=>111001011011
110010001110=>100111011011
100110011100=>110011001001
100110101100=>110011111001
100110110100=>110011100001
000100100101=>010001110000
000010010101=>010111000000
000100010011=>010001000110
000010010011=>010111000110
000010001011=>010111011110
000100010010=>010001000111
000010010010=>010111000111
000010001010=>010111011111
000010001001=>010111011100
111000010110=>101101000011
100100111100=>110001101001
110000110110=>100101100011
110100011010=>100001001111
111000011010=>101101001111
101010011100=>111111001001
101100011100=>111001001001
110010011100=>100111001001
111000011011=>101101001110
100111100011=>110010110110
110010101110=>100111111011
101100101110=>111001111011
111000101110=>101101111011
101011001110=>111110011011
110011001110=>100110011011
101110001110=>111011011011
111100001110=>101001011011
111000100111=>101101110010
111000010111=>101101000010
101110000111=>111011010010
101010111100=>111111101001
110010111100=>100111101001
101100111100=>111001101001
100110111100=>110011101001
111000111100=>101101101001
111000011110=>101101001011
101011111000=>111110101101
110011111000=>100110101101
101001111100=>111100101001
100101111100=>110000101001
110001111100=>100100101001
101111110000=>111010100101
100111111000=>110010101101
111111100000=>101010110101
001001111000=>011100101101
001110000110=>011011010011
100010101100=>110111111001
100010110010=>110111100111
100010111000=>110111101101
100011001010=>110110011111
100011001100=>110110011001
100011100010=>110110110111
100011110000=>110110100101
000110111000=>010011101101
000101111000=>010000101101
000111100010=>010010110111
000111110000=>010010100101
110000101010=>100101111111
110000101100=>100101111001
110000110010=>100101100111
110000100110=>100101110011
110000111000=>100101101101
100001111000=>110100101101
000011111000=>010110101101
111000001010=>101101011111
111000001100=>101101011001
110000011010=>100101001111
110000010110=>100101000011
110000011100=>100101001001
111100000010=>101001010111
111000000110=>101101010011
111110000000=>101011010101
100110001001=>110011011100
100110000101=>110011010000
100111011001=>110010001100
100111011101=>110010001000
100111101001=>110010111100
100111100101=>110010110000
100111110101=>110010100000
100010011001=>110111001100
100010001001=>110111011100
100010001101=>110111011000
100011001001=>110110011100
100011000101=>110110010000
100001011001=>110100001100
100001001001=>110100011100
100001001101=>110100011000
100001000101=>110100010000
100001101001=>110100111100
100001100101=>110100110000
100000101001=>110101111100
100000101101=>110101111000
100000110101=>110101100000
100000010101=>110101000000
110110011101=>100011001000
110111011001=>100010001100
110111011101=>100010001000
110111001101=>100010011000
110111101001=>100010111100
110111101101=>100010111000
110111100101=>100010110000
110111110101=>100010100000
110010001001=>100111011100
110010000101=>100111010000
110011011101=>100110001000
110011101101=>100110111000
110011110101=>100110100000
110001001001=>100100011100
110001001101=>100100011000
110001000101=>100100010000
110000101001=>100101111100
110000100101=>100101110000
110000010101=>100101000000
111011011101=>101110001000
111011101001=>101110111100
111011101101=>101110111000
111011110101=>101110100000
111001011101=>101100001000
111001110101=>101100100000
111101011001=>101000001100
111101011101=>101000001000
111101001101=>101000011000
111101101001=>101000111100
111101101101=>101000111000
111101100101=>101000110000
111101110101=>101000100000
111100101101=>101001111000
111100110101=>101001100000
111110101001=>101011111100
111110101101=>101011111000
111110110101=>101011100000
111110010101=>101011000000
111111010101=>101010000000
000000001010=>010101011111
000000101000=>010101111101
000000100010=>010101110111
000000110110=>010101100011
000010100000=>010111110101
000010101010=>010111111111
000010001000=>010111011101
000010000010=>010111010111
000010010110=>010111000011
000011011000=>010110001101
000011010010=>010110000111
000011000110=>010110010011
001010000000=>011111010101
001010001010=>011111011111
001010101000=>011111111101
001010100010=>011111110111
001000100000=>011101110101
001000101010=>011101111111
001000001000=>011101011101
001000000010=>011101010111
001000010110=>011101000011
001001011000=>011100001101
001001010010=>011100000111
001001000110=>011100010011
001101100000=>011000110101
001101001000=>011000011101
001101000010=>011000010111
001100011000=>011001001101
001100010010=>011001000111
001100000110=>011001010011
001111011110=>011010001011
101000000000=>111101010101
101000001010=>111101011111
101000101000=>111101111101
101000100010=>111101110111
101010100000=>111111110101
101010001000=>111111011101
101010000010=>111111010111
101011000110=>111110010011
100010101000=>110111111101
100010100010=>110111110111
100001011000=>110100001101
100101100000=>110000110101
100101001000=>110000011101
100101000010=>110000010111
100100011000=>110001001101
100100010010=>110001000111
110110000000=>100011010101
110110110110=>100011100011
110100100000=>100001110101
110100001000=>100001011101
110100000010=>100001010111
110101000110=>100000010011
110101101110=>100000111011
110001100000=>100100110101
110001101010=>100100111111
110001001000=>100100011101
110001000010=>100100010111
110000011000=>100101001101
110000010010=>100101000111
110000000110=>100101010011
110010100110=>100111110011
111011101010=>101110111111
111011010110=>101110000011
111010101110=>101111111011
111001011110=>101100001011
111101111000=>101000101101
111101110010=>101000100111
111101100110=>101000110011
111101001110=>101000011011
111100011110=>101001001011
111010101010=>101111111111
111010101100=>101111111001
111010110010=>101111100111
111010110100=>101111100001
111010111000=>101111101101
111011001010=>101110011111
111011001100=>101110011001
111011010010=>101110000111
111011010100=>101110000001
111011011000=>101110001101
111011100010=>101110110111
111011100100=>101110110001
111011101000=>101110111101
111011110000=>101110100101
111100101010=>101001111111
111100101100=>101001111001
111100110010=>101001100111
111100110100=>101001100001
111100111000=>101001101101
111101001010=>101000011111
111101001100=>101000011001
111101010010=>101000000111
111101010100=>101000000001
111101011000=>101000001101
111101100010=>101000110111
111101100100=>101000110001
111101101000=>101000111101
111101110000=>101000100101
111110001010=>101011011111
111110001100=>101011011001
111110010010=>101011000111
111110010100=>101011000001
111110011000=>101011001101
111110100010=>101011110111
111110100100=>101011110001
111110101000=>101011111101
111110110000=>101011100101
111111000010=>101010010111
111111000100=>101010010001
111111001000=>101010011101
111111010000=>101010000101
100010110100=>110111100001
100011010010=>110110000111
100011010100=>110110000001
100011011000=>110110001101
100011100100=>110110110001
100011101000=>110110111101
100100101010=>110001111111
100100101100=>110001111001
100100110010=>110001100111
100100110100=>110001100001
100100111000=>110001101101
100101001010=>110000011111
100101001100=>110000011001
100101010010=>110000000111
100101010100=>110000000001
100101011000=>110000001101
100101100010=>110000110111
100101100100=>110000110001
100101101000=>110000111101
100101110000=>110000100101
100110001010=>110011011111
100110001100=>110011011001
100110010010=>110011000111
100110010100=>110011000001
100110011000=>110011001101
100110100010=>110011110111
100110100100=>110011110001
100110101000=>110011111101
100110110000=>110011100101
100111000010=>110010010111
100111000100=>110010010001
100111001000=>110010011101
100111010000=>110010000101
100111100000=>110010110101
101000101010=>111101111111
101000101100=>111101111001
101000110010=>111101100111
101000110100=>111101100001
101000111000=>111101101101
101001001010=>111100011111
101001001100=>111100011001
101001010010=>111100000111
101001010100=>111100000001
101001011000=>111100001101
101001100010=>111100110111
101001100100=>111100110001
101001101000=>111100111101
101001110000=>111100100101
101010001010=>111111011111
101010001100=>111111011001
101010010010=>111111000111
101010010100=>111111000001
101010011000=>111111001101
101010100010=>111111110111
101010100100=>111111110001
101010101000=>111111111101
101010110000=>111111100101
101011000010=>111110010111
101011000100=>111110010001
101011001000=>111110011101
101011010000=>111110000101
101011100000=>111110110101
101100001010=>111001011111
101100001100=>111001011001
101100010010=>111001000111
101100010100=>111001000001
101100011000=>111001001101
101100100010=>111001110111
101100100100=>111001110001
101100101000=>111001111101
101100110000=>111001100101
101101000010=>111000010111
101101000100=>111000010001
101101001000=>111000011101
101101010000=>111000000101
101101100000=>111000110101
101110000010=>111011010111
101110000100=>111011010001
101110001000=>111011011101
101110010000=>111011000101
101110100000=>111011110101
101111000000=>111010010101
011011100110=>001110110011
010111100110=>000010110011
011001000110=>001100010011
010001000110=>000100010011
011010000110=>001111010011
010110000110=>000011010011
010100000110=>000001010011
011001101110=>001100111011
011011101110=>001110111011
010011101110=>000110111011
011011001110=>001110011011
010111001110=>000010011011
011001011110=>001100001011
011011011110=>001110001011
010011011110=>000110001011
010111011110=>000010001011
011010011110=>001111001011
010110011110=>000011001011
011010111110=>001111101011
010010111110=>000111101011
010100111110=>000001101011
010101111110=>000000101011
010001100100=>000100110001
011001000100=>001100010001
010001000100=>000100010001
010011000100=>000110010001
010010000100=>000111010001
010110000100=>000011010001
010100000100=>000001010001
011011101100=>001110111001
010111101100=>000010111001
010001001100=>000100011001
010100001100=>000001011001
011011011100=>001110001001
010111011100=>000010001001
011010111100=>001111101001
010110111100=>000011101001
010101111100=>000000101001
010001001000=>000100011101
011010001000=>001111011101
010010001000=>000111011101
010100001000=>000001011101
010001011000=>000100001101
010100011000=>000001001101
011001010000=>001100000101
010001010000=>000100000101
010011010000=>000110000101
010010010000=>000111000101
010110010000=>000011000101
010100010000=>000001000101
010100110000=>000001100101
011010100000=>001111110101
010010100000=>000111110101
010100100000=>000001110101
010101100000=>000000110101
010101000000=>000000010101
101011111111=>111110101010
111010111111=>101111101010
101110111111=>111011101010
100100111111=>110001101010
111110101111=>101011111010
101010101111=>111111111010
111011101111=>101110111010
101111101111=>111010111010
111001001111=>101100011010
100111001111=>110010011010
111111101011=>101010111110
101011101011=>111110111110
111010101011=>101111111110
101110101011=>111011111110
111110111011=>101011101110
101010111011=>111111101110
111011111011=>101110101110
101111111011=>111010101110
111001011011=>101100001110
101101011011=>111000001110
100111011011=>110010001110
111110010011=>101011000110
111011010011=>101110000110
101111010011=>111010000110
111001110011=>101100100110
100111110011=>110010100110
100001000011=>110100010110
111111111010=>101010101111
101011111010=>111110101111
111010111010=>101111101111
101110111010=>111011101111
111110101010=>101011111111
101111101010=>111010111111
100111001010=>110010011111
101110101110=>111011111011
111110010110=>101011000011
101111010110=>111010000011
111001110110=>101100100011
101101110110=>111000100011
111111100100=>101010110001
100100100100=>110001110001
111110110100=>101011100001
111011110100=>101110100001
101111110100=>111010100001
100010010100=>110111000001
111110011100=>101011001001
111011011100=>101110001001
101111011100=>111010001001
111001111100=>101100101001
101101111100=>111000101001
100111111100=>110010101001
111000010000=>101101000101
101100010000=>111001000101
100110010000=>110011000101
100011010000=>110110000101
100001110000=>110100100101
110011000100=>100110010001
110011000110=>100110010011
110011000010=>100110010111
110011101100=>100110111001
110011100110=>100110110011
110011110100=>100110100001
110011110110=>100110100011
110011110010=>100110100111
110011111010=>100110101111
110001001100=>100100011001
110001001110=>100100011011
110001000100=>100100010001
110001000110=>100100010011
110001101100=>100100111001
110001100100=>100100110001
110001100110=>100100110011
110001100010=>100100110111
110001110110=>100100100011
110001110010=>100100100111
110001111010=>100100101111
110000100100=>100101110001
110000100010=>100101110111
110000110100=>100101100001
110000010100=>100101000001
110000001010=>100101011111
111011001110=>101110011011
111011000110=>101110010011
111011101100=>101110111001
111011101110=>101110111011
111011100110=>101110110011
111011110110=>101110100011
111011110010=>101110100111
111011111010=>101110101111
111001001110=>101100011011
111001000100=>101100010001
111001000110=>101100010011
111001000010=>101100010111
111001101100=>101100111001
111001101110=>101100111011
111001100110=>101100110011
111001110100=>101100100001
111001110010=>101100100111
111001111010=>101100101111
111000100100=>101101110001
111000100010=>101101110111
111000110110=>101101100011
111000111010=>101101101111
111000010100=>101101000001
111000010010=>101101000111
111101000110=>101000010011
111101101100=>101000111001
111101101110=>101000111011
111101110100=>101000100001
111101110110=>101000100011
111101111010=>101000101111
111100101110=>101001111011
111100100110=>101001110011
111100110110=>101001100011
111100111010=>101001101111
111100010110=>101001000011
111100011010=>101001001111
111110101100=>101011111001
111110101110=>101011111011
111110100110=>101011110011
111110110110=>101011100011
111110110010=>101011100111
111110111010=>101011101111
111110011010=>101011001111
111111010100=>101010000001
111111010110=>101010000011
111111010010=>101010000111
111111011010=>101010001111
111111001010=>101010011111
111111101010=>101010111111
100111000011=>110010010110
110001001011=>100100011110
110001000111=>100100010010
110010010110=>100111000011
110110000110=>100011010011
111100000110=>101001010011
110100001110=>100001011011
101001001000=>111100011101
101010010000=>111111000101
110010001000=>100111011101
110010010000=>100111000101
110100010000=>100001000101
100100010000=>110001000101
010011100011=>000110110110
010110010011=>000011000110
010110100011=>000011110110
010111000011=>000010010110
011001001011=>001100011110
011001100011=>001100110110
011011000011=>001110010110
110001010011=>100100000110
110001100011=>100100110110
110010100011=>100111110110
000101010101=>010000000000
000101011001=>010000001100
000101100101=>010000110000
000101101001=>010000111100
000101110001=>010000100100
000110010101=>010011000000
000110101001=>010011111100
000111000101=>010010010000
000111001001=>010010011100
000111010001=>010010000100
001001010101=>011100000000
001001101001=>011100111100
001010011001=>011111001100
001010100101=>011111110000
001010101001=>011111111100
001010110001=>011111100100
001011001001=>011110011100
001011100001=>011110110100
001100010101=>011001000000
001100101001=>011001111100
001101000101=>011000010000
001101001001=>011000011100
001101010001=>011000000100
001110001001=>011011011100
001110100001=>011011110100
110101101100=>100000111001
111001011100=>101100001001
111100011100=>101001001001
000111011000=>010010001101
110011011100=>100110001001
100111011100=>110010001001
000111100100=>010010110001
000111101000=>010010111101
111111110011=>101010100110
111111001111=>101010011010
111111000011=>101010010110
111111011011=>101010001110
111100111111=>101001101010
111100110011=>101001100110
111100001111=>101001011010
111100011011=>101001001110
111101101111=>101000111010
111101100011=>101000110110
111101111011=>101000101110
111101001011=>101000011110
110011111111=>100110101010
110011110011=>100110100110
110011001111=>100110011010
110011011011=>100110001110
110000111111=>100101101010
110000000011=>100101010110
110001101111=>100100111010
110001111011=>100100101110
110110111111=>100011101010
110110110011=>100011100110
110110001111=>100011011010
110110011011=>100011001110
110111101111=>100010111010
110111100011=>100010110110
110111111011=>100010101110
110111001011=>100010011110
110100101111=>100001111010
110100111011=>100001101110
110101101011=>100000111110
001111111111=>011010101010
001111110011=>011010100110
001111001111=>011010011010
001111011011=>011010001110
001100111111=>011001101010
001100000011=>011001010110
001101101111=>011000111010
001101111011=>011000101110
000011111111=>010110101010
000011000011=>010110010110
000000110011=>010101100110
000000001111=>010101011010
000000000011=>010101010110
000110111111=>010011101010
000111111011=>010010101110
011011111111=>001110101010
011011110011=>001110100110
011011001111=>001110011010
011000111111=>001101101010
011001111011=>001100101110
011110111111=>001011101010
011110011011=>001011001110
011111101111=>001010111010
011111100011=>001010110110
011111111011=>001010101110
011111001011=>001010011110
011100111011=>001001101110
010010111111=>000111101010
010011111011=>000110101110
010110101111=>000011111010
010110111011=>000011101110
010111101011=>000010111110
111111111100=>101010101001
111111110000=>101010100101
111111110110=>101010100011
111111001100=>101010011001
111111000110=>101010010011
111111011000=>101010001101
111100111100=>101001101001
111100000000=>101001010101
111101011010=>101000001111
110011111100=>100110101001
110011000000=>100110010101
110000110000=>100101100101
110000001100=>100101011001
110000000000=>100101010101
110001011010=>100100001111
110110111100=>100011101001
110110011110=>100011001011
110111101100=>100010111001
110111100110=>100010110011
110111111000=>100010101101
110111110010=>100010100111
110111001110=>100010011011
110111011010=>100010001111
110100100110=>100001110011
110101111010=>100000101111
001000111000=>011101101101
010101001000=>000000011101
001011001000=>011110011101
100010011000=>110111001101
001010011000=>011111001101
100100101000=>110001111101
001001101000=>011100111101
010010101000=>000111111101
000101011000=>010000001101
000010111000=>010111101101
101000010000=>111101000101
010000110000=>000101100101
001000110000=>011101100101
100010010000=>110111000101
001010010000=>011111000101
000100110000=>010001100101
100001010000=>110100000101
001001010000=>011100000101
000101010000=>010000000101
000010110000=>010111100101
000001000000=>010100010101
101110101010=>111011111111
011111111101=>001010101000
011111110111=>001010100010
000111111101=>010010101000
111111110101=>101010100000
010111110101=>000010100000
000111110111=>010010100010
111111010111=>101010000010
001111110101=>011010100000
111111011101=>101010001000
011101111111=>001000101010
010111011101=>000010001000
010111010111=>000010000010
110111010101=>100010000000
000111011111=>010010001010
000000011101=>010101001000
100111010111=>110010000010
111101011111=>101000001010
011111010101=>001010000000
001111010111=>011010000010
101111010101=>111010000000
111101110111=>101000100010
001111011101=>011010001000
111101111101=>101000101000
111111001001=>101010011100
010111111111=>000010101010
010101111101=>000000101000
110101110101=>100000100000
010101011111=>000000001010
110101010111=>100000000010
110101011101=>100000001000
000101111111=>010000101010
000000010111=>010101000010
001000010101=>011101000000
100101111101=>110000101000
001010010001=>011111000100
110101111111=>100000101010
011101011101=>001000001000
111101010101=>101000000000
001101011111=>011000001010
000000110101=>010101100000
101101010111=>111000000010
101101011101=>111000001000
110111011111=>100010001010
001101110111=>011000100010
101101110101=>111000100000
110111110111=>100010100010
001101111101=>011000101000
110111111101=>100010101000
000010110001=>010111100100
001000110001=>011101100100
111100100111=>101001110010
111100111001=>101001101100
110000000010=>100101010111
110001010100=>100100000001
110001011000=>100100001101
110001101000=>100100111101
110001110000=>100100100101
110010010100=>100111000001
110010011000=>100111001101
110010100100=>100111110001
110010101000=>100111111101
110010110000=>100111100101
110011001000=>100110011101
110011010000=>100110000101
110011100000=>100110110101
110100010100=>100001000001
110100011000=>100001001101
110100100100=>100001110001
110100101000=>100001111101
110100110000=>100001100101
110101000100=>100000010001
110101001000=>100000011101
110101010000=>100000000101
110101100000=>100000110101
110110000100=>100011010001
110110001000=>100011011101
110110010000=>100011000101
110110100000=>100011110101
110111000000=>100010010101
111000011000=>101101001101
111000101000=>101101111101
111000110000=>101101100101
111001001000=>101100011101
111001010000=>101100000101
111001100000=>101100110101
111010000100=>101111010001
111010001000=>101111011101
111010010000=>101111000101
111010100000=>101111110101
111011000000=>101110010101
111100000100=>101001010001
111100001000=>101001011101
111100010000=>101001000101
111100100000=>101001110101
111101000000=>101000010101
110100100010=>100001110111
110100010001=>100001000100
110100010010=>100001000111
110010010010=>100111000111
110010001010=>100111011111
110010000100=>100111010001
110010100010=>100111110111
110010010001=>100111000100
110001001010=>100100011111
110001010001=>100100000100
110001010010=>100100000111
110000100001=>100101110100
110000101000=>100101111101
110000010000=>100101000101
101001001001=>111100011100
101001000100=>111100010001
101000100101=>111101110000
101000101001=>111101111100
101000100100=>111101110001
101000010010=>111101000111
101000010100=>111101000001
101000001000=>111101011101
101010001001=>111111011100
101010000100=>111111010001
101010010001=>111111000100
101001000101=>111100010000
101001000010=>111100010111
101001010001=>111100000100
100100010101=>110001000000
100100001001=>110001011100
100100000100=>110001010001
100100100101=>110001110000
100100100010=>110001110111
100100101001=>110001111100
100100010100=>110001000001
100100001000=>110001011101
100101000101=>110000010000
100101001001=>110000011100
100101000100=>110000010001
100101010001=>110000000100
100010001000=>110111011101
100010100001=>110111110100
100010100100=>110111110001
100001000001=>110100010100
100000000101=>110101010000
100000010001=>110101000100
100000011011=>110101001110
100001010101=>110100000000
100001001011=>110100011110
100001100011=>110100110110
100101000000=>110000010101
100100000001=>110001010100
100100001011=>110001011110
100110000011=>110011010110
100111101111=>110010111010
110100000000=>100001010101
110100000101=>100001010000
110101000001=>100000010100
110101110111=>100000100010
110001000000=>100100010101
110000000100=>100101010001
110000000001=>100101010100
110000001011=>100101011110
110000100011=>100101110110
110010100001=>100111110100
110010001100=>100111011001
110010000011=>100111010110
110011101111=>100110111010
111011011011=>101110001110
111010000001=>101111010100
111010110111=>101111100010
111000100001=>101101110100
111000001001=>101101011100
111000000011=>101101010110
111001101111=>101100111010
111101101011=>101000111110
111101010111=>101000000010
111100101111=>101001111010
111110111100=>101011101001
111110111001=>101011101100
111110110011=>101011100110
111110100111=>101011110010
111110001111=>101011011010
111111011111=>101010001010
1000000000000=>1101010101010
1000000100000=>1101010001010
1000001000010=>1101011101000
1000001000100=>1101011101110
1000010001010=>1101000100000
0001000100101=>0100010001111
0000100100101=>0101110001111
0000100010101=>0101110111111
0000100010011=>0101110111001
0000100010010=>0101110111000
1010010001000=>1111000100010
1010010010000=>1111000111010
1010100010000=>1111110111010
1100100010000=>1001110111010
0100100010000=>0001110111010
1000011111100=>1101001010110
0101010101010=>0000000000000
0101010100100=>0000000001110
0101010010010=>0000000111000
0101010010100=>0000000111110
0101010001000=>0000000100010
0101001001010=>0000011100000
0101001000100=>0000011101110
0101001010010=>0000011111000
0101001010100=>0000011111110
0101001001000=>0000011100010
0101000100010=>0000010001000
0101000100100=>0000010001110
0101000101000=>0000010000010
0101000010000=>0000010111010
0100100101010=>0001110000000
0100100100100=>0001110001110
0100100010010=>0001110111000
0100100010100=>0001110111110
0100100001000=>0001110100010
0100101001010=>0001111100000
0100101000100=>0001111101110
0100101010010=>0001111111000
0100101010100=>0001111111110
0100101001000=>0001111100010
0100100100010=>0001110001000
0100100101000=>0001110000010
0100010001010=>0001000100000
0100010000100=>0001000101110
0100010010010=>0001000111000
0100010010100=>0001000111110
0100010001000=>0001000100010
0100010100010=>0001000001000
0100010100100=>0001000001110
0100010101000=>0001000000010
0100010010000=>0001000111010
0100001000010=>0001011101000
0100001000100=>0001011101110
0100001001000=>0001011100010
0100001010000=>0001011111010
0100000100000=>0001010001010
0010010101010=>0111000000000
0010010100100=>0111000001110
0010010010010=>0111000111000
0010010010100=>0111000111110
0010010001000=>0111000100010
0010001001010=>0111011100000
0010001000100=>0111011101110
0010001010010=>0111011111000
0010001010100=>0111011111110
0010001001000=>0111011100010
0010000100010=>0111010001000
0010000100100=>0111010001110
0010000101000=>0111010000010
0010000010000=>0111010111010
0010100101010=>0111110000000
0010100100100=>0111110001110
0010100010010=>0111110111000
0010100010100=>0111110111110
0010100001000=>0111110100010
0010101001010=>0111111100000
0010101000100=>0111111101110
0010101010010=>0111111111000
0010101010100=>0111111111110
0010101001000=>0111111100010
0010100100010=>0111110001000
0010100101000=>0111110000010
0010100010000=>0111110111010
0010010001010=>0111000100000
0010010000100=>0111000101110
0010010100010=>0111000001000
0010010101000=>0111000000010
0010010010000=>0111000111010
0010001000010=>0111011101000
0010001010000=>0111011111010
0010000100000=>0111010001010
0001000101010=>0100010000000
0001000100100=>0100010001110
0001000010010=>0100010111000
0001000010100=>0100010111110
0001000001000=>0100010100010
0001001001010=>0100011100000
0001001000100=>0100011101110
0001001010010=>0100011111000
0001001010100=>0100011111110
0001001001000=>0100011100010
0001000100010=>0100010001000
0001000101000=>0100010000010
0001000010000=>0100010111010
0001010001010=>0100000100000
0001010000100=>0100000101110
0001010010010=>0100000111000
0001010010100=>0100000111110
0001010001000=>0100000100010
0001010100010=>0100000001000
0001010100100=>0100000001110
0001010101000=>0100000000010
0001010010000=>0100000111010
0001001000010=>0100011101000
0001001010000=>0100011111010
0001000100000=>0100010001010
0000100001010=>0101110100000
0000100000100=>0101110101110
0000100010100=>0101110111110
0000100001000=>0101110100010
0000100100010=>0101110001000
0000100100100=>0101110001110
0000100101000=>0101110000010
0000100010000=>0101110111010
0000101000010=>0101111101000
0000101000100=>0101111101110
0000101001000=>0101111100010
0000101010000=>0101111111010
0000100100000=>0101110001010
0000010000010=>0101000101000
0000010000100=>0101000101110
0000010001000=>0101000100010
0000010010000=>0101000111010
0000010100000=>0101000001010
0000001000000=>0101011101010
1101010101010=>1000000000000
1101010101100=>1000000000110
1101010110010=>1000000011000
1101010110100=>1000000011110
1101010111000=>1000000010010
1101011001010=>1000001100000
1101011001100=>1000001100110
1101011010010=>1000001111000
1101011010100=>1000001111110
1101011011000=>1000001110010
1101011100010=>1000001001000
1101011100100=>1000001001110
1101011101000=>1000001000010
1101011110000=>1000001011010
1101100101010=>1000110000000
1101100101100=>1000110000110
1101100110010=>1000110011000
1101100110100=>1000110011110
1101100111000=>1000110010010
1101101001010=>1000111100000
1101101001100=>1000111100110
1101101010010=>1000111111000
1101101010100=>1000111111110
1101101011000=>1000111110010
1101101100010=>1000111001000
1101101100100=>1000111001110
1101101101000=>1000111000010
1101101110000=>1000111011010
1101110001010=>1000100100000
1101110001100=>1000100100110
1101110010010=>1000100111000
1101110010100=>1000100111110
1101110011000=>1000100110010
1101110100010=>1000100001000
1101110100100=>1000100001110
1101110101000=>1000100000010
1101110110000=>1000100011010
1101111000010=>1000101101000
1101111000100=>1000101101110
1101111001000=>1000101100010
1101111010000=>1000101111010
1101111100000=>1000101001010
1110010101010=>1011000000000
1110010101100=>1011000000110
1110010110010=>1011000011000
1110010110100=>1011000011110
1110010111000=>1011000010010
1110011001010=>1011001100000
1110011001100=>1011001100110
1110011010010=>1011001111000
1110011010100=>1011001111110
1110011011000=>1011001110010
1110011100010=>1011001001000
1110011100100=>1011001001110
1110011101000=>1011001000010
1110011110000=>1011001011010
1110100101010=>1011110000000
1110100101100=>1011110000110
1110100110010=>1011110011000
1110100110100=>1011110011110
1110100111000=>1011110010010
1110101001010=>1011111100000
1110101001100=>1011111100110
1110101010010=>1011111111000
1110101010100=>1011111111110
1110101011000=>1011111110010
1110101100010=>1011111001000
1110101100100=>1011111001110
1110101101000=>1011111000010
1110101110000=>1011111011010
1110110001010=>1011100100000
1110110001100=>1011100100110
1110110010010=>1011100111000
1110110010100=>1011100111110
1110110011000=>1011100110010
1110110100010=>1011100001000
1110110100100=>1011100001110
1110110101000=>1011100000010
1110110110000=>1011100011010
1110111000010=>1011101101000
1110111000100=>1011101101110
1110111001000=>1011101100010
1110111010000=>1011101111010
1110111100000=>1011101001010
1111000101010=>1010010000000
1111000101100=>1010010000110
1111000110010=>1010010011000
1111000110100=>1010010011110
1111000111000=>1010010010010
1111001001010=>1010011100000
1111001001100=>1010011100110
1111001010010=>1010011111000
1111001010100=>1010011111110
1111001011000=>1010011110010
1111001100010=>1010011001000
1111001100100=>1010011001110
1111001101000=>1010011000010
1111001110000=>1010011011010
1111010001010=>1010000100000
1111010001100=>1010000100110
1111010010010=>1010000111000
1111010010100=>1010000111110
1111010011000=>1010000110010
1111010100010=>1010000001000
1111010100100=>1010000001110
1111010101000=>1010000000010
1111010110000=>1010000011010
1111011000010=>1010001101000
1111011000100=>1010001101110
1111011001000=>1010001100010
1111011010000=>1010001111010
1111011100000=>1010001001010
1111100001010=>1010110100000
1111100001100=>1010110100110
1111100010010=>1010110111000
1111100010100=>1010110111110
1111100011000=>1010110110010
1111100100010=>1010110001000
1111100100100=>1010110001110
1111100101000=>1010110000010
1111100110000=>1010110011010
1111101000010=>1010111101000
1111101000100=>1010111101110
1111101001000=>1010111100010
1111101010000=>1010111111010
1111101100000=>1010111001010
1111110000010=>1010100101000
1111110000100=>1010100101110
1111110001000=>1010100100010
1111110010000=>1010100111010
1111110100000=>1010100001010
1111111000000=>1010101101010
0000010000001=>0101000101011
0000101000001=>0101111101011
1000001010000=>1101011111010
0000100100001=>0101110001011
0001001000001=>0100011101011
1000001001000=>1101011100010
1000010010000=>1101000111010
0000100010001=>0101110111011
0001010100001=>0100000001011
0010001000001=>0111011101011
1000010101000=>1101000000010
1000100010000=>1101110111010
0000100001001=>0101110100011
0001010010001=>0100000111011
0001000100001=>0100010001011
0010010100001=>0111000001011
0100001000001=>0001011101011
0000100000010=>0101110101000
1000010100100=>1101000001110
1000010001000=>1101000100010
1000100101000=>1101110000010
0100000010000=>0001010111010
1001000010000=>1100010111010
1011010101010=>1110000000000
1010110101010=>1111100000000
1010101101010=>1111111000000
1010101011010=>1111111110000
1010101010110=>1111111111100
1001110101010=>1100100000000
1010011101010=>1111001000000
1010100111010=>1111110010000
1010101001110=>1111111100100
1001011101010=>1100001000000
1010010111010=>1111000010000
1000111101010=>1101101000000
1010100101110=>1111110000100
1010001111010=>1111011010000
1010100011110=>1111110110100
1010101010100=>1111111111110
1010101010101=>1111111111111
1010101010010=>1111111111000
1010101001010=>1111111100000
1010100101010=>1111110000000
1010010101010=>1111000000000
1001010101010=>1100000000000
1010101000100=>1111111101110
1010100010010=>1111110111000
1010001001010=>1111011100000
1000100101010=>1101110000000
1010100010100=>1111110111110
1010001010010=>1111011111000
1010100001000=>1111110100010
1000101001010=>1101111100000
1010000100010=>1111010001000
1010001010100=>1111011111110
1000101010010=>1101111111000
1010001001000=>1111011100010
1000100100010=>1101110001000
1010000101000=>1111010000010
1000010100010=>1101000001000
1000000110000=>1101010011010
10101010101010=>11111111111111
10101010101100=>11111111111001
10101010110010=>11111111100111
10101010110100=>11111111100001
10101010111000=>11111111101101
10101011001010=>11111110011111
10101011001100=>11111110011001
10101011010010=>11111110000111
10101011010100=>11111110000001
10101011011000=>11111110001101
10101011100010=>11111110110111
10101011100100=>11111110110001
10101011101000=>11111110111101
10101011110000=>11111110100101
10101100101010=>11111001111111
10101100101100=>11111001111001
10101100110010=>11111001100111
10101100110100=>11111001100001
10101100111000=>11111001101101
10101101001010=>11111000011111
10101101001100=>11111000011001
10101101010010=>11111000000111
10101101010100=>11111000000001
10101101011000=>11111000001101
10101101100010=>11111000110111
10101101100100=>11111000110001
10101101101000=>11111000111101
10101101110000=>11111000100101
10101110001010=>11111011011111
10101110001100=>11111011011001
10101110010010=>11111011000111
10101110010100=>11111011000001
10101110011000=>11111011001101
10101110100010=>11111011110111
10101110100100=>11111011110001
10101110101000=>11111011111101
10101110110000=>11111011100101
10101111000010=>11111010010111
10101111000100=>11111010010001
10101111001000=>11111010011101
10101111010000=>11111010000101
10101111100000=>11111010110101
10110010101010=>11100111111111
10110010101100=>11100111111001
10110010110010=>11100111100111
10110010110100=>11100111100001
10110010111000=>11100111101101
10110011001010=>11100110011111
10110011001100=>11100110011001
10110011010010=>11100110000111
10110011010100=>11100110000001
10110011011000=>11100110001101
10110011100010=>11100110110111
10110011100100=>11100110110001
10110011101000=>11100110111101
10110011110000=>11100110100101
10110100101010=>11100001111111
10110100101100=>11100001111001
10110100110010=>11100001100111
10110100110100=>11100001100001
10110100111000=>11100001101101
10110101001010=>11100000011111
10110101001100=>11100000011001
10110101010010=>11100000000111
10110101010100=>11100000000001
10110101011000=>11100000001101
10110101100010=>11100000110111
10110101100100=>11100000110001
10110101101000=>11100000111101
10110101110000=>11100000100101
10110110001010=>11100011011111
10110110001100=>11100011011001
10110110010010=>11100011000111
10110110010100=>11100011000001
10110110011000=>11100011001101
10110110100010=>11100011110111
10110110100100=>11100011110001
10110110101000=>11100011111101
10110110110000=>11100011100101
10110111000010=>11100010010111
10110111000100=>11100010010001
10110111001000=>11100010011101
10110111010000=>11100010000101
10110111100000=>11100010110101
10111000101010=>11101101111111
10111000101100=>11101101111001
10111000110010=>11101101100111
10111000110100=>11101101100001
10111000111000=>11101101101101
10111001001010=>11101100011111
10111001001100=>11101100011001
10111001010010=>11101100000111
10111001010100=>11101100000001
10111001011000=>11101100001101
10111001100010=>11101100110111
10111001100100=>11101100110001
10111001101000=>11101100111101
10111001110000=>11101100100101
10111010001010=>11101111011111
10111010001100=>11101111011001
10111010010010=>11101111000111
10111010010100=>11101111000001
10111010011000=>11101111001101
10111010100010=>11101111110111
10111010100100=>11101111110001
10111010101000=>11101111111101
10111010110000=>11101111100101
10111011000010=>11101110010111
10111011000100=>11101110010001
10111011001000=>11101110011101
10111011010000=>11101110000101
10111011100000=>11101110110101
10111100001010=>11101001011111
10111100001100=>11101001011001
10111100010010=>11101001000111
10111100010100=>11101001000001
10111100011000=>11101001001101
10111100100010=>11101001110111
10111100100100=>11101001110001
10111100101000=>11101001111101
10111100110000=>11101001100101
10111101000010=>11101000010111
10111101000100=>11101000010001
10111101001000=>11101000011101
10111101010000=>11101000000101
10111101100000=>11101000110101
10111110000010=>11101011010111
10111110000100=>11101011010001
10111110001000=>11101011011101
10111110010000=>11101011000101
10111110100000=>11101011110101
10111111000000=>11101010010101
11001010101010=>10011111111111
11001010101100=>10011111111001
11001010110010=>10011111100111
11001010110100=>10011111100001
11001010111000=>10011111101101
11001011001010=>10011110011111
11001011001100=>10011110011001
11001011010010=>10011110000111
11001011010100=>10011110000001
11001011011000=>10011110001101
11001011100010=>10011110110111
11001011100100=>10011110110001
11001011101000=>10011110111101
11001011110000=>10011110100101
11001100101010=>10011001111111
11001100101100=>10011001111001
11001100110010=>10011001100111
11001100110100=>10011001100001
11001100111000=>10011001101101
11001101001010=>10011000011111
11001101001100=>10011000011001
11001101010010=>10011000000111
11001101010100=>10011000000001
11001101011000=>10011000001101
11001101100010=>10011000110111
11001101100100=>10011000110001
11001101101000=>10011000111101
11001101110000=>10011000100101
11001110001010=>10011011011111
11001110001100=>10011011011001
11001110010010=>10011011000111
11001110010100=>10011011000001
11001110011000=>10011011001101
11001110100010=>10011011110111
11001110100100=>10011011110001
11001110101000=>10011011111101
11001110110000=>10011011100101
11001111000010=>10011010010111
11001111000100=>10011010010001
11001111001000=>10011010011101
11001111010000=>10011010000101
11001111100000=>10011010110101
11010010101010=>10000111111111
11010010101100=>10000111111001
11010010110010=>10000111100111
11010010110100=>10000111100001
11010010111000=>10000111101101
11010011001010=>10000110011111
11010011001100=>10000110011001
11010011010010=>10000110000111
11010011010100=>10000110000001
11010011011000=>10000110001101
11010011100010=>10000110110111
11010011100100=>10000110110001
11010011101000=>10000110111101
11010011110000=>10000110100101
11010100101010=>10000001111111
11010100101100=>10000001111001
11010100110010=>10000001100111
11010100110100=>10000001100001
11010100111000=>10000001101101
11010101001010=>10000000011111
11010101001100=>10000000011001
11010101010010=>10000000000111
11010101010100=>10000000000001
11010101011000=>10000000001101
11010101100010=>10000000110111
11010101100100=>10000000110001
11010101101000=>10000000111101
11010101110000=>10000000100101
11010110001010=>10000011011111
11010110001100=>10000011011001
11010110010010=>10000011000111
11010110010100=>10000011000001
11010110011000=>10000011001101
11010110100010=>10000011110111
11010110100100=>10000011110001
11010110101000=>10000011111101
11010110110000=>10000011100101
11010111000010=>10000010010111
11010111000100=>10000010010001
11010111001000=>10000010011101
11010111010000=>10000010000101
11010111100000=>10000010110101
11011000101010=>10001101111111
11011000101100=>10001101111001
11011000110010=>10001101100111
11011000110100=>10001101100001
11011000111000=>10001101101101
11011001001010=>10001100011111
11011001001100=>10001100011001
11011001010010=>10001100000111
11011001010100=>10001100000001
11011001011000=>10001100001101
11011001100010=>10001100110111
11011001100100=>10001100110001
11011001101000=>10001100111101
11011001110000=>10001100100101
11011010001010=>10001111011111
11011010001100=>10001111011001
11011010010010=>10001111000111
11011010010100=>10001111000001
11011010011000=>10001111001101
11011010100010=>10001111110111
11011010100100=>10001111110001
11011010101000=>10001111111101
11011010110000=>10001111100101
11011011000010=>10001110010111
11011011000100=>10001110010001
11011011001000=>10001110011101
11011011010000=>10001110000101
11011011100000=>10001110110101
11011100001010=>10001001011111
11011100001100=>10001001011001
11011100010010=>10001001000111
11011100010100=>10001001000001
11011100011000=>10001001001101
11011100100010=>10001001110111
11011100100100=>10001001110001
11011100101000=>10001001111101
11011100110000=>10001001100101
11011101000010=>10001000010111
11011101000100=>10001000010001
11011101001000=>10001000011101
11011101010000=>10001000000101
11011101100000=>10001000110101
11011110000010=>10001011010111
11011110000100=>10001011010001
11011110001000=>10001011011101
11011110010000=>10001011000101
11011110100000=>10001011110101
11011111000000=>10001010010101
11100010101010=>10110111111111
11100010101100=>10110111111001
11100010110010=>10110111100111
11100010110100=>10110111100001
11100010111000=>10110111101101
11100011001010=>10110110011111
11100011001100=>10110110011001
11100011010010=>10110110000111
11100011010100=>10110110000001
11100011011000=>10110110001101
11100011100010=>10110110110111
11100011100100=>10110110110001
11100011101000=>10110110111101
11100011110000=>10110110100101
11100100101010=>10110001111111
11100100101100=>10110001111001
11100100110010=>10110001100111
11100100110100=>10110001100001
11100100111000=>10110001101101
11100101001010=>10110000011111
11100101001100=>10110000011001
11100101010010=>10110000000111
11100101010100=>10110000000001
11100101011000=>10110000001101
11100101100010=>10110000110111
11100101100100=>10110000110001
11100101101000=>10110000111101
11100101110000=>10110000100101
11100110001010=>10110011011111
11100110001100=>10110011011001
11100110010010=>10110011000111
11100110010100=>10110011000001
11100110011000=>10110011001101
11100110100010=>10110011110111
11100110100100=>10110011110001
11100110101000=>10110011111101
11100110110000=>10110011100101
11100111000010=>10110010010111
11100111000100=>10110010010001
11100111001000=>10110010011101
11100111010000=>10110010000101
11100111100000=>10110010110101
11101000101010=>10111101111111
11101000101100=>10111101111001
11101000110010=>10111101100111
11101000110100=>10111101100001
11101000111000=>10111101101101
11101001001010=>10111100011111
11101001001100=>10111100011001
11101001010010=>10111100000111
11101001010100=>10111100000001
11101001011000=>10111100001101
11101001100010=>10111100110111
11101001100100=>10111100110001
11101001101000=>10111100111101
11101001110000=>10111100100101
11101010001010=>10111111011111
11101010001100=>10111111011001
11101010010010=>10111111000111
11101010010100=>10111111000001
11101010011000=>10111111001101
11101010100010=>10111111110111
11101010100100=>10111111110001
11101010101000=>10111111111101
11101010110000=>10111111100101
11101011000010=>10111110010111
11101011000100=>10111110010001
11101011001000=>10111110011101
11101011010000=>10111110000101
11101011100000=>10111110110101
11101100001010=>10111001011111
11101100001100=>10111001011001
11101100010010=>10111001000111
11101100010100=>10111001000001
11101100011000=>10111001001101
11101100100010=>10111001110111
11101100100100=>10111001110001
11101100101000=>10111001111101
11101100110000=>10111001100101
11101101000010=>10111000010111
11101101000100=>10111000010001
11101101001000=>10111000011101
11101101010000=>10111000000101
11101101100000=>10111000110101
11101110000010=>10111011010111
11101110000100=>10111011010001
11101110001000=>10111011011101
11101110010000=>10111011000101
11101110100000=>10111011110101
11101111000000=>10111010010101
11110000101010=>10100101111111
11110000101100=>10100101111001
11110000110010=>10100101100111
11110000110100=>10100101100001
11110000111000=>10100101101101
11110001001010=>10100100011111
11110001001100=>10100100011001
11110001010010=>10100100000111
11110001010100=>10100100000001
11110001011000=>10100100001101
11110001100010=>10100100110111
11110001100100=>10100100110001
11110001101000=>10100100111101
11110001110000=>10100100100101
11110010001010=>10100111011111
11110010001100=>10100111011001
11110010010010=>10100111000111
11110010010100=>10100111000001
11110010011000=>10100111001101
11110010100010=>10100111110111
11110010100100=>10100111110001
11110010101000=>10100111111101
11110010110000=>10100111100101
11110011000010=>10100110010111
11110011000100=>10100110010001
11110011001000=>10100110011101
11110011010000=>10100110000101
11110011100000=>10100110110101
11110100001010=>10100001011111
11110100001100=>10100001011001
11110100010010=>10100001000111
11110100010100=>10100001000001
11110100011000=>10100001001101
11110100100010=>10100001110111
11110100100100=>10100001110001
11110100101000=>10100001111101
11110100110000=>10100001100101
11110101000010=>10100000010111
11110101000100=>10100000010001
11110101001000=>10100000011101
11110101010000=>10100000000101
11110101100000=>10100000110101
11110110000010=>10100011010111
11110110000100=>10100011010001
11110110001000=>10100011011101
11110110010000=>10100011000101
11110110100000=>10100011110101
11110111000000=>10100010010101
11111000001010=>10101101011111
11111000001100=>10101101011001
11111000010010=>10101101000111
11111000010100=>10101101000001
11111000011000=>10101101001101
11111000100010=>10101101110111
11111000100100=>10101101110001
11111000101000=>10101101111101
11111000110000=>10101101100101
11111001000010=>10101100010111
11111001000100=>10101100010001
11111001001000=>10101100011101
11111001010000=>10101100000101
11111001100000=>10101100110101
11111010000010=>10101111010111
11111010000100=>10101111010001
11111010001000=>10101111011101
11111010010000=>10101111000101
11111010100000=>10101111110101
11111011000000=>10101110010101
11111100000010=>10101001010111
11111100000100=>10101001010001
11111100001000=>10101001011101
11111100010000=>10101001000101
11111100100000=>10101001110101
11111101000000=>10101000010101
11111110000000=>10101011010101
10000000000000=>11010101010101
10000000010000=>11010101000101
00000011111101=>01010110101000
01000000111111=>00010101101010
00000101111101=>01010000101000
01000001011111=>00010100001010
00000110111101=>01010011101000
00001001111101=>01011100101000
01000001101111=>00010100111010
01000010011111=>00010111001010
00000111011101=>01010010001000
00001010111101=>01011111101000
00010001111101=>01000100101000
01000001110111=>00010100100010
01000010101111=>00010111111010
01000100011111=>00010001001010
00000111101101=>01010010111000
00001011011101=>01011110001000
00001100111101=>01011001101000
00010010111101=>01000111101000
00100001111101=>01110100101000
00000111110011=>01010010100110
01000001111011=>00010100101110
01000010110111=>00010111100010
01000011001111=>00010110011010
01000100101111=>00010001111010
00110000011111=>01100101001010
01001000011111=>00011101001010
01010101010101=>00000000000000
00110101010101=>01100000000000
00101101010101=>01111000000000
00101011010101=>01111110000000
00101010110101=>01111111100000
00101010101101=>01111111111000
00101010101011=>01111111111110
00011101010101=>01001000000000
00100111010101=>01110010000000
00101001110101=>01111100100000
00101010011101=>01111111001000
00101010100111=>01111111110010
00010111010101=>01000010000000
00100101110101=>01110000100000
00001111010101=>01011010000000
00101001011101=>01111100001000
00100011110101=>01110110100000
00101010010111=>01111111000010
00101000111101=>01111101101000
00101010001111=>01111111011010
00010101110101=>01000000100000
00100101011101=>01110000001000
00001101110101=>01011000100000
00101001010111=>01111100000010
00100011011101=>01110110001000
00001011110101=>01011110100000
00101000110111=>01111101100010
00100010111101=>01110111101000
00101000101111=>01111101111010
00101010011011=>01111111001110
00101001101011=>01111100111110
00101001100111=>01111100110010
00101001011011=>01111100001110
00101001001111=>01111100011010
00101000111011=>01111101101110
00101000011111=>01111101001010
00100110101011=>01110011111110
00100110100111=>01110011110010
00100110011011=>01110011001110
00100110010111=>01110011000010
00100110001111=>01110011011010
00100101101011=>01110000111110
00100101100111=>01110000110010
00100101011011=>01110000001110
00100101010111=>01110000000010
00100101001111=>01110000011010
00100100111011=>01110001101110
00100100110111=>01110001100010
00100100101111=>01110001111010
00100100011111=>01110001001010
00100011101011=>01110110111110
00100011100111=>01110110110010
00100011011011=>01110110001110
00100011010111=>01110110000010
00100011001111=>01110110011010
00100010111011=>01110111101110
00100010110111=>01110111100010
00100010101111=>01110111111010
00100010011111=>01110111001010
00100001111011=>01110100101110
00100001110111=>01110100100010
00100001101111=>01110100111010
00100001011111=>01110100001010
00100000111111=>01110101101010
00011010101011=>01001111111110
00011010100111=>01001111110010
00011010011011=>01001111001110
00011010010111=>01001111000010
00011010001111=>01001111011010
00011001101011=>01001100111110
00011001100111=>01001100110010
00011001011011=>01001100001110
00011001010111=>01001100000010
00011001001111=>01001100011010
00011000111011=>01001101101110
00011000110111=>01001101100010
00011000101111=>01001101111010
00011000011111=>01001101001010
00010110101011=>01000011111110
00010110100111=>01000011110010
00010110011011=>01000011001110
00010110010111=>01000011000010
00010110001111=>01000011011010
00010101101011=>01000000111110
00010101100111=>01000000110010
00010101011011=>01000000001110
00010101010111=>01000000000010
00010101001111=>01000000011010
00010100111011=>01000001101110
00010100110111=>01000001100010
00010100101111=>01000001111010
00010100011111=>01000001001010
00010011101011=>01000110111110
00010011100111=>01000110110010
00010011011011=>01000110001110
00010011010111=>01000110000010
00010011001111=>01000110011010
00010010111011=>01000111101110
00010010110111=>01000111100010
00010010101111=>01000111111010
00010010011111=>01000111001010
00010001111011=>01000100101110
00010001110111=>01000100100010
00010001101111=>01000100111010
00010001011111=>01000100001010
00010000111111=>01000101101010
00001110101011=>01011011111110
00001110100111=>01011011110010
00001110011011=>01011011001110
00001110010111=>01011011000010
00001110001111=>01011011011010
00001101101011=>01011000111110
00001101100111=>01011000110010
00001101011011=>01011000001110
00001101010111=>01011000000010
00001101001111=>01011000011010
00001100111011=>01011001101110
00001100110111=>01011001100010
00001100101111=>01011001111010
00001100011111=>01011001001010
00001011101011=>01011110111110
00001011100111=>01011110110010
00001011011011=>01011110001110
00001011010111=>01011110000010
00001011001111=>01011110011010
00001010111011=>01011111101110
00001010110111=>01011111100010
00001010101111=>01011111111010
00001010011111=>01011111001010
00001001111011=>01011100101110
00001001110111=>01011100100010
00001001101111=>01011100111010
00001001011111=>01011100001010
00001000111111=>01011101101010
00000111101011=>01010010111110
00000111100111=>01010010110010
00000111011011=>01010010001110
00000111010111=>01010010000010
00000111001111=>01010010011010
00000110111011=>01010011101110
00000110110111=>01010011100010
00000110101111=>01010011111010
00000110011111=>01010011001010
00000101111011=>01010000101110
00000101110111=>01010000100010
00000101101111=>01010000111010
00000101011111=>01010000001010
00000100111111=>01010001101010
00000011111011=>01010110101110
00000011110111=>01010110100010
00000011101111=>01010110111010
00000011011111=>01010110001010
00000010111111=>01010111101010
00000001111111=>01010100101010
01010101010011=>00000000000110
01010101001011=>00000000011110
01010100101011=>00000001111110
01010010101011=>00000111111110
01001010101011=>00011111111110
01010101000111=>00000000010010
01010100011011=>00000001001110
01010001101011=>00000100111110
01000110101011=>00010011111110
01010100010111=>00000001000010
01010001011011=>00000100001110
01010100001111=>00000001011010
01000101101011=>00010000111110
01010000111011=>00000101101110
01000011101011=>00010110111110
01010001010111=>00000100000010
01000101011011=>00010000001110
01010001001111=>00000100011010
01000100111011=>00010001101110
01010000101111=>00000101111010
01000010111011=>00010111101110
00001000100101=>01011101110000
11111000000101=>10101101010000
01111110000001=>00101011010100
11110100000101=>10100001010000
01111101000001=>00101000010100
11110010000101=>10100111010000
11101100000101=>10111001010000
01111100100001=>00101001110100
01111011000001=>00101110010100
11110001000101=>10100100010000
11101010000101=>10111111010000
11011100000101=>10001001010000
01111100010001=>00101001000100
01111010100001=>00101111110100
01110111000001=>00100010010100
11110000100101=>10100101110000
11101001000101=>10111100010000
11100110000101=>10110011010000
11011010000101=>10001111010000
10111100000101=>11101001010000
11110000011001=>10100101001100
01111100001001=>00101001011100
01111010010001=>00101111000100
01111001100001=>00101100110100
01110110100001=>00100011110100
10011111000001=>11001010010100
01101111000001=>00111010010100
10100100010000=>11110001000101
01001101010101=>00011000000000
01010011010101=>00000110000000
00110011010101=>01100110000000
01000111010101=>00010010000000
01010100110101=>00000001100000
00110100110101=>01100001100000
01001100110101=>00011001100000
00011100110101=>01001001100000
01010001110101=>00000100100000
00110001110101=>01100100100000
01000011110101=>00010110100000
00000111110101=>01010010100000
01010101001101=>00000000011000
00110101001101=>01100000011000
01001101001101=>00011000011000
00011101001101=>01001000011000
01010011001101=>00000110011000
00110011001101=>01100110011000
01000111001101=>00010010011000
00001111001101=>01011010011000
01010100011101=>00000001001000
00110100011101=>01100001001000
01001100011101=>00011001001000
00011100011101=>01001001001000
01010000111101=>00000101101000
00110000111101=>01100101101000
01000001111101=>00010100101000
00110101010011=>01100000000110
01001101010011=>00011000000110
00011101010011=>01001000000110
01010011010011=>00000110000110
00110011010011=>01100110000110
01000111010011=>00010010000110
00001111010011=>01011010000110
01010100110011=>00000001100110
00110100110011=>01100001100110
01001100110011=>00011001100110
00011100110011=>01001001100110
01010001110011=>00000100100110
00110001110011=>01100100100110
01000011110011=>00010110100110
00110101000111=>01100000010010
01001101000111=>00011000010010
00011101000111=>01001000010010
01010011000111=>00000110010010
00110011000111=>01100110010010
01000111000111=>00010010010010
00001111000111=>01011010010010
00110100001111=>01100001011010
01001100001111=>00011001011010
00011100001111=>01001001011010
01010000011111=>00000101001010
01101010101010=>00111111111111
01101010101100=>00111111111001
01101010110010=>00111111100111
01101010110100=>00111111100001
01101010111000=>00111111101101
01101011001010=>00111110011111
01101011001100=>00111110011001
01101011010010=>00111110000111
01101011010100=>00111110000001
01101011011000=>00111110001101
01101011100010=>00111110110111
01101011100100=>00111110110001
01101011101000=>00111110111101
01101011110000=>00111110100101
01101100101010=>00111001111111
01101100101100=>00111001111001
01101100110010=>00111001100111
01101100110100=>00111001100001
01101100111000=>00111001101101
01101101001010=>00111000011111
01101101001100=>00111000011001
01101101010010=>00111000000111
01101101010100=>00111000000001
01101101011000=>00111000001101
01101101100010=>00111000110111
01101101100100=>00111000110001
01101101101000=>00111000111101
01101101110000=>00111000100101
01101110001010=>00111011011111
01101110001100=>00111011011001
01101110010010=>00111011000111
01101110010100=>00111011000001
01101110011000=>00111011001101
01101110100010=>00111011110111
01101110100100=>00111011110001
01101110101000=>00111011111101
01101110110000=>00111011100101
01101111000010=>00111010010111
01101111000100=>00111010010001
01101111001000=>00111010011101
01101111010000=>00111010000101
01101111100000=>00111010110101
01110010101010=>00100111111111
01110010101100=>00100111111001
01110010110010=>00100111100111
01110010110100=>00100111100001
01110010111000=>00100111101101
01110011001010=>00100110011111
01110011001100=>00100110011001
01110011010010=>00100110000111
01110011010100=>00100110000001
01110011011000=>00100110001101
01110011100010=>00100110110111
01110011100100=>00100110110001
01110011101000=>00100110111101
01110011110000=>00100110100101
01110100101010=>00100001111111
01110100101100=>00100001111001
01110100110010=>00100001100111
01110100110100=>00100001100001
01110100111000=>00100001101101
01110101001010=>00100000011111
01110101001100=>00100000011001
01110101010010=>00100000000111
01110101010100=>00100000000001
01110101011000=>00100000001101
01110101100010=>00100000110111
01110101100100=>00100000110001
01110101101000=>00100000111101
01110101110000=>00100000100101
01110110001010=>00100011011111
01110110001100=>00100011011001
01110110010010=>00100011000111
01110110010100=>00100011000001
01110110011000=>00100011001101
01110110100010=>00100011110111
01110110100100=>00100011110001
01110110101000=>00100011111101
01110110110000=>00100011100101
01110111000010=>00100010010111
01110111000100=>00100010010001
01110111001000=>00100010011101
01110111010000=>00100010000101
01110111100000=>00100010110101
01111000101010=>00101101111111
01111000101100=>00101101111001
01111000110010=>00101101100111
01111000110100=>00101101100001
01111000111000=>00101101101101
01111001001010=>00101100011111
01111001001100=>00101100011001
01111001010010=>00101100000111
01111001010100=>00101100000001
01111001011000=>00101100001101
01111001100010=>00101100110111
01111001100100=>00101100110001
01111001101000=>00101100111101
01111001110000=>00101100100101
01111010001010=>00101111011111
01111010001100=>00101111011001
01111010010010=>00101111000111
01111010010100=>00101111000001
01111010011000=>00101111001101
01111010100010=>00101111110111
01111010100100=>00101111110001
01111010101000=>00101111111101
01111010110000=>00101111100101
01111011000010=>00101110010111
01111011000100=>00101110010001
01111011001000=>00101110011101
01111011010000=>00101110000101
01111011100000=>00101110110101
01111100001010=>00101001011111
01111100001100=>00101001011001
01111100010010=>00101001000111
01111100010100=>00101001000001
01111100011000=>00101001001101
01111100100010=>00101001110111
01111100100100=>00101001110001
01111100101000=>00101001111101
01111100110000=>00101001100101
01111101000010=>00101000010111
01111101000100=>00101000010001
01111101001000=>00101000011101
01111101010000=>00101000000101
01111101100000=>00101000110101
01111110000010=>00101011010111
01111110000100=>00101011010001
01111110001000=>00101011011101
01111110010000=>00101011000101
01111110100000=>00101011110101
01111111000000=>00101010010101
00111111000010=>01101010010111
01011111000100=>00001010010001
00111111000100=>01101010010001
00011111000110=>01001010010011
00101111001010=>01111010011111
01011111001000=>00001010011101
00111111001000=>01101010011101
00011111001010=>01001010011111
01001111001100=>00011010011001
00101111001100=>01111010011001
00011111001100=>01001010011001
00001111001110=>01011010011011
00110111010010=>01100010000111
01010111010100=>00000010000001
00110111010100=>01100010000001
00010111010110=>01000010000011
00101111010010=>01111010000111
01011111010000=>00001010000101
00111111010000=>01101010000101
00011111010010=>01001010000111
01001111010100=>00011010000001
00101111010100=>01111010000001
00011111010100=>01001010000001
00001111010110=>01011010000011
01100111011000=>00110010001101
00100111011010=>01110010001111
01010111011000=>00000010001101
00110111011000=>01100010001101
00010111011010=>01000010001111
01001111011000=>00011010001101
00101111011000=>01111010001101
00011111011000=>01001010001101
00001111011010=>01011010001111
01000111011100=>00010010001001
00100111011100=>01110010001001
00010111011100=>01000010001001
00001111011100=>01011010001001
00000111011110=>01010010001011
00111011100010=>01101110110111
01011011100100=>00001110110001
00111011100100=>01101110110001
00011011100110=>01001110110011
00101011101010=>01111110111111
01011011101000=>00001110111101
00111011101000=>01101110111101
00011011101010=>01001110111111
01001011101100=>00011110111001
00101011101100=>01111110111001
00011011101100=>01001110111001
00001011101110=>01011110111011
00110111100010=>01100010110111
01010111100100=>00000010110001
00110111100100=>01100010110001
00010111100110=>01000010110011
00101111100010=>01111010110111
01011111100000=>00001010110101
00111111100000=>01101010110101
00011111100010=>01001010110111
01001111100100=>00011010110001
00101111100100=>01111010110001
00011111100100=>01001010110001
00001111100110=>01011010110011
01100111101000=>00110010111101
00100111101010=>01110010111111
01010111101000=>00000010111101
00110111101000=>01100010111101
00010111101010=>01000010111111
01001111101000=>00011010111101
00101111101000=>01111010111101
00011111101000=>01001010111101
00001111101010=>01011010111111
01000111101100=>00010010111001
00100111101100=>01110010111001
00010111101100=>01000010111001
00001111101100=>01011010111001
00000111101110=>01010010111011
00110011110010=>01100110100111
01010011110100=>00000110100001
00110011110100=>01100110100001
00010011110110=>01000110100011
00101011110010=>01111110100111
01011011110000=>00001110100101
00111011110000=>01101110100101
00011011110010=>01001110100111
01001011110100=>00011110100001
00101011110100=>01111110100001
00011011110100=>01001110100001
00001011110110=>01011110100011
01100111110000=>00110010100101
00100111110010=>01110010100111
01010111110000=>00000010100101
00110111110000=>01100010100101
00010111110010=>01000010100111
01001111110000=>00011010100101
00101111110000=>01111010100101
00011111110000=>01001010100101
00001111110010=>01011010100111
01000111110100=>00010010100001
00100111110100=>01110010100001
00010111110100=>01000010100001
00001111110100=>01011010100001
00000111110110=>01010010100011
01100011111000=>00110110101101
00100011111010=>01110110101111
01010011111000=>00000110101101
00110011111000=>01100110101101
00010011111010=>01000110101111
01001011111000=>00011110101101
00101011111000=>01111110101101
00011011111000=>01001110101101
00001011111010=>01011110101111
01000111111000=>00010010101101
00100111111000=>01110010101101
00010111111000=>01000010101101
00001111111000=>01011010101101
00000111111010=>01010010101111
01000011111100=>00010110101001
00100011111100=>01110110101001
00010011111100=>01000110101001
00001011111100=>01011110101001
00000111111100=>01010010101001
00000011111110=>01010110101011
10010010010010=>11000111000111
11101010101010=>10111111111111
01011110110000=>00001011100101
01011110101000=>00001011111101
01011101110000=>00001000100101
01111100000110=>00101001010011
01011111000010=>00001010010111
01011110100100=>00001011110001
01011110011000=>00001011001101
01011101101000=>00001000111101
10000011111100=>11010110101001
00000110111110=>01010011101011
10000111111000=>11010010101101
00001110111100=>01011011101001
10001011111000=>11011110101101
10000111110100=>11010010100001
00010110111100=>01000011101001
00001110111010=>01011011101111
10010011111000=>11000110101101
10001111110000=>11011010100101
10000111101100=>11010010111001
00100110111100=>01110011101001
00011110111000=>01001011101101
00001110110110=>01011011100011
10100011111000=>11110110101101
10010111110000=>11000010100101
10001011110100=>11011110100001
10001111101000=>11011010111101
10000111011100=>11010010001001
01000011111010=>00010110101111
01000110111100=>00010011101001
00101110111000=>01111011101101
00010110111010=>01000011101111
00011110110100=>01001011100001
00001011011110=>01011110001011
00001110101110=>01011011111011
01010101011001=>00000000001100
01010101101001=>00000000111100
01010110101001=>00000011111100
01011010101001=>00001111111100
01101010101001=>00111111111100
10101010101001=>11111111111100
01010101110001=>00000000100100
01010111001001=>00000010011100
01011100101001=>00001001111100
01110010101001=>00100111111100
11001010101001=>10011111111100
01010111010001=>00000010000100
01011101001001=>00001000011100
01010111100001=>00000010110100
01110100101001=>00100001111100
01011110001001=>00001011011100
11010010101001=>10000111111100
01111000101001=>00101101111100
11100010101001=>10110111111100
01011101010001=>00001000000100
01110101001001=>00100000011100
01011101100001=>00001000110100
11010100101001=>10000001111100
01110110001001=>00100011011100
01011110100001=>00001011110100
11011000101001=>10001101111100
01111010001001=>00101111011100
11101000101001=>10111101111100
10101010110001=>11111111100100
10101011001001=>11111110011100
10101011010001=>11111110000100
10101011100001=>11111110110100
10101100101001=>11111001111100
10101100110001=>11111001100100
10101101001001=>11111000011100
10101101010001=>11111000000100
10101101100001=>11111000110100
10101110001001=>11111011011100
10101110010001=>11111011000100
10101110100001=>11111011110100
10101111000001=>11111010010100
10110010101001=>11100111111100
10110010110001=>11100111100100
10110011001001=>11100110011100
10110011010001=>11100110000100
10110011100001=>11100110110100
10110100101001=>11100001111100
10110100110001=>11100001100100
10110101001001=>11100000011100
10110101010001=>11100000000100
10110101100001=>11100000110100
10110110001001=>11100011011100
10110110010001=>11100011000100
10110110100001=>11100011110100
10110111000001=>11100010010100
10111000101001=>11101101111100
10111000110001=>11101101100100
10111001001001=>11101100011100
10111001010001=>11101100000100
10111001100001=>11101100110100
10111010001001=>11101111011100
10111010010001=>11101111000100
10111010100001=>11101111110100
10111011000001=>11101110010100
10111100001001=>11101001011100
10111100010001=>11101001000100
10111100100001=>11101001110100
10111101000001=>11101000010100
10111110000001=>11101011010100
11001010110001=>10011111100100
11001011001001=>10011110011100
11001011010001=>10011110000100
11001011100001=>10011110110100
11001100101001=>10011001111100
11001100110001=>10011001100100
11001101001001=>10011000011100
11001101010001=>10011000000100
11001101100001=>10011000110100
11001110001001=>10011011011100
11001110010001=>10011011000100
11001110100001=>10011011110100
11001111000001=>10011010010100
11010010110001=>10000111100100
11010011001001=>10000110011100
11010011010001=>10000110000100
11010011100001=>10000110110100
11010100110001=>10000001100100
11010101001001=>10000000011100
11010101010001=>10000000000100
11010101100001=>10000000110100
11010110001001=>10000011011100
11010110010001=>10000011000100
11010110100001=>10000011110100
11010111000001=>10000010010100
11011000110001=>10001101100100
11011001001001=>10001100011100
11011001010001=>10001100000100
11011001100001=>10001100110100
11011010001001=>10001111011100
11011010010001=>10001111000100
11011010100001=>10001111110100
11011011000001=>10001110010100
11011100001001=>10001001011100
11011100010001=>10001001000100
11011100100001=>10001001110100
11011101000001=>10001000010100
11011110000001=>10001011010100
11100010110001=>10110111100100
11100011001001=>10110110011100
11100011010001=>10110110000100
11100011100001=>10110110110100
11100100101001=>10110001111100
11100100110001=>10110001100100
11100101001001=>10110000011100
11100101010001=>10110000000100
11100101100001=>10110000110100
11100110001001=>10110011011100
11100110010001=>10110011000100
11100110100001=>10110011110100
11100111000001=>10110010010100
11101000110001=>10111101100100
11101001001001=>10111100011100
11101001010001=>10111100000100
11101001100001=>10111100110100
11101010001001=>10111111011100
11101010010001=>10111111000100
11101010100001=>10111111110100
11101011000001=>10111110010100
11101100001001=>10111001011100
11101100010001=>10111001000100
11101100100001=>10111001110100
11101101000001=>10111000010100
11101110000001=>10111011010100
11110000101001=>10100101111100
11110000110001=>10100101100100
11110001001001=>10100100011100
11110001010001=>10100100000100
11110001100001=>10100100110100
11110010001001=>10100111011100
11110010010001=>10100111000100
11110010100001=>10100111110100
11110011000001=>10100110010100
11110100001001=>10100001011100
11110100010001=>10100001000100
11110100100001=>10100001110100
11110101000001=>10100000010100
11110110000001=>10100011010100
11111000001001=>10101101011100
11111000010001=>10101101000100
11111000100001=>10101101110100
11111001000001=>10101100010100
11111010000001=>10101111010100
11111100000001=>10101001010100
01010101010110=>00000000000011
01010101011010=>00000000001111
01010101101010=>00000000111111
01010110101010=>00000011111111
01011010101010=>00001111111111
01010101011100=>00000000001001
01010101110010=>00000000100111
01010111001010=>00000010011111
01011100101010=>00001001111111
01010101110100=>00000000100001
01010111010010=>00000010000111
01010101111000=>00000000101101
01011101001010=>00001000011111
01010111100010=>00000010110111
01011110001010=>00001011011111
01011101010010=>00001000000111
01011101100010=>00001000110111
01011110100010=>00001011110111
00111110000110=>01101011010011
01011110001100=>00001011011001
00111110001100=>01101011011001
00011110001110=>01001011011011
01001110011100=>00011011001001
01100110111000=>00110011101101
00111110011000=>01101011001101
00011110011010=>01001011001111
01001110110100=>00011011100001
00011110011100=>01001011001001
01001110111000=>00011011101101
11110000000000=>10100101010101
100000000000000=>110101010101010
000000100000001=>010101110101011
100000001000000=>110101011101010
000001010000001=>010100000101011
100000010100000=>110101000001010
000001001000001=>010100011101011
000010010000001=>010111000101011
100000010010000=>110101000111010
100000100100000=>110101110001010
000001000100001=>010100010001011
000010101000001=>010111111101011
000100010000001=>010001000101011
100000010001000=>110101000100010
100000101010000=>110101111111010
100001000100000=>110100010001010
100001001000010=>110100011101000
100100110010010=>110001100111000
110101010101010=>100000000000000
101101010101010=>111000000000000
101011010101010=>111110000000000
101010110101010=>111111100000000
101010101101010=>111111111000000
101010101011010=>111111111110000
101010101010110=>111111111111100
100111010101010=>110010000000000
101001110101010=>111100100000000
101010011101010=>111111001000000
101010100111010=>111111110010000
101010101001110=>111111111100100
101010101010101=>111111111111111
101010101010010=>111111111111000
101010101001010=>111111111100000
101010100101010=>111111110000000
101010010101010=>111111000000000
101001010101010=>111100000000000
100101010101010=>110000000000000
010101010101010=>000000000000000
101010101000100=>111111111101110
101010100010010=>111111110111000
101010001001010=>111111011100000
101000100101010=>111101110000000
100010010101010=>110111000000000
001001010101010=>011100000000000
101010100010100=>111111110111110
101010001010010=>111111011111000
101010100001000=>111111110100010
101000101001010=>111101111100000
101010000100010=>111111010001000
100010100101010=>110111110000000
101000010001010=>111101000100000
001010010101010=>011111000000000
100001000101010=>110100010000000
000100010101010=>010001000000000
1010101010101010=>1111111111111111
1010101010101100=>1111111111111001
1010101010110100=>1111111111100001
1010101010111000=>1111111111101101
1010101011001010=>1111111110011111
1010101011001100=>1111111110011001
1010101011010010=>1111111110000111
1010101011010100=>1111111110000001
1010101011011000=>1111111110001101
1010101011100010=>1111111110110111
1010101011100100=>1111111110110001
1010101011101000=>1111111110111101
1010101011110000=>1111111110100101
1010101100101100=>1111111001111001
1010101101010100=>1111111000000001
1010101110001100=>1111111011011001
1010101110010100=>1111111011000001
1010101110100100=>1111111011110001
1010101111000100=>1111111010010001
1010101111010000=>1111111010000101
1010101111100000=>1111111010110101
1010110010101100=>1111100111111001
1010110010110100=>1111100111100001
1010110011001100=>1111100110011001
1010110011010100=>1111100110000001
1010110101010100=>1111100000000001
1010110101011000=>1111100000001101
1010111000101010=>1111101101111111
1010111001010100=>1111101100000001
1010111010010100=>1111101111000001
1010111010100100=>1111101111110001
1010111010110000=>1111101111100101
1010111011000100=>1111101110010001
1010111011010000=>1111101110000101
1010111100001100=>1111101001011001
1010111100010100=>1111101001000001
1010111101000100=>1111101000010001
1010111101010000=>1111101000000101
1010111110000010=>1111101011010111
1010111110000100=>1111101011010001
1010111110010000=>1111101011000101
1010111110100000=>1111101011110101
1010111111000000=>1111101010010101
1011001010101010=>1110011111111111
1011001010101100=>1110011111111001
1011001010110100=>1110011111100001
1011001100110010=>1110011001100111
1011001111100000=>1110011010110101
1011010010101010=>1110000111111111
1011010010101100=>1110000111111001
1011010010110100=>1110000111100001
1011010011110000=>1110000110100101
1011010101010100=>1110000000000001
1011010101011000=>1110000000001101
1011011011010000=>1110001110000101
1011011101001000=>1110001000011101
1011100010101010=>1110110111111111
1011100010110100=>1110110111100001
1011100011001100=>1110110110011001
1011100011110000=>1110110110100101
1011100100110010=>1110110001100111
1011100101010100=>1110110000000001
1011100110010010=>1110110011000111
1011101000101010=>1110111101111111
1011101000111000=>1110111101101101
1011101001010010=>1110111100000111
1011101001010100=>1110111100000001
1011101001101000=>1110111100111101
1011101010001010=>1110111111011111
1011101010010100=>1110111111000001
1011101010100010=>1110111111110111
1011101010100100=>1110111111110001
1011101010101000=>1110111111111101
1011101011000100=>1110111110010001
1011101011010000=>1110111110000101
1011101100010010=>1110111001000111
1011101100010100=>1110111001000001
1011101101000100=>1110111000010001
1011101110000100=>1110111011010001
1011101110010000=>1110111011000101
1011110001010100=>1110100100000001
1011110010101000=>1110100111111101
1011110100001100=>1110100001011001
1011110100100100=>1110100001110001
1011110100101000=>1110100001111101
1011110101000100=>1110100000010001
1011110101010000=>1110100000000101
1011110111000000=>1110100010010101
1011111000001010=>1110101101011111
1011111000001100=>1110101101011001
1011111000010100=>1110101101000001
1011111000101000=>1110101101111101
1011111001000100=>1110101100010001
1011111001010000=>1110101100000101
1011111010000010=>1110101111010111
1011111010010000=>1110101111000101
1011111010100000=>1110101111110101
1011111011000000=>1110101110010101
1011111100000010=>1110101001010111
1011111100010000=>1110101001000101
1011111100100000=>1110101001110101
1011111101000000=>1110101000010101
1011111110000000=>1110101011010101
1100101010101010=>1001111111111111
1100101010101100=>1001111111111001
1100101010110010=>1001111111100111
1100101010110100=>1001111111100001
1100101010111000=>1001111111101101
1100101011001010=>1001111110011111
1100101011010100=>1001111110000001
1100101101010100=>1001111000000001
1100101110101000=>1001111011111101
1100101111010000=>1001111010000101
1100101111100000=>1001111010110101
1100110010101010=>1001100111111111
1100110011001100=>1001100110011001
1100110011101000=>1001100110111101
1100110011110000=>1001100110100101
1100110100101010=>1001100001111111
1100110101010100=>1001100000000001
1100110101110000=>1001100000100101
1100110111100000=>1001100010110101
1100111000101010=>1001101101111111
1100111001010100=>1001101100000001
1100111010001100=>1001101111011001
1100111010101000=>1001101111111101
1100111011001000=>1001101110011101
1100111011100000=>1001101110110101
1100111100001100=>1001101001011001
1100111101010000=>1001101000000101
1100111101100000=>1001101000110101
1100111110000010=>1001101011010111
1100111110000100=>1001101011010001
1100111110001000=>1001101011011101
1100111110010000=>1001101011000101
1100111110100000=>1001101011110101
1100111111000000=>1001101010010101
1101001010101010=>1000011111111111
1101001010101100=>1000011111111001
1101001010110100=>1000011111100001
1101001011110000=>1000011110100101
1101001100101010=>1000011001111111
1101001100110010=>1000011001100111
1101001101001010=>1000011000011111
1101001101101000=>1000011000111101
1101001110001010=>1000011011011111
1101001110010010=>1000011011000111
1101001110011000=>1000011011001101
1101001110100100=>1000011011110001
1101001110110000=>1000011011100101
1101001111010000=>1000011010000101
1101001111100000=>1000011010110101
1101010010101010=>1000000111111111
1101010010110100=>1000000111100001
1101010010111000=>1000000111101101
1101010011001010=>1000000110011111
1101010011010010=>1000000110000111
1101010011010100=>1000000110000001
1101010011100010=>1000000110110111
1101010011110000=>1000000110100101
1101010100101010=>1000000001111111
1101010100101100=>1000000001111001
1101010100110010=>1000000001100111
1101010100110100=>1000000001100001
1101010100111000=>1000000001101101
1101010101001010=>1000000000011111
1101010101001100=>1000000000011001
1101010101010010=>1000000000000111
1101010101010100=>1000000000000001
1101010101011000=>1000000000001101
1101010101100010=>1000000000110111
1101010101100100=>1000000000110001
1101010101101000=>1000000000111101
1101010101110000=>1000000000100101
1101010110001010=>1000000011011111
1101010110010100=>1000000011000001
1101010110100010=>1000000011110111
1101010110101000=>1000000011111101
1101010110110000=>1000000011100101
1101010111000010=>1000000010010111
1101010111001000=>1000000010011101
1101010111010000=>1000000010000101
1101010111100000=>1000000010110101
1101011000101010=>1000001101111111
1101011001010100=>1000001100000001
1101011010001010=>1000001111011111
1101011010010100=>1000001111000001
1101011010100100=>1000001111110001
1101011010101000=>1000001111111101
1101011011010000=>1000001110000101
1101011100001010=>1000001001011111
1101011100101000=>1000001001111101
1101011101001000=>1000001000011101
1101011101010000=>1000001000000101
1101011101100000=>1000001000110101
1101011110000010=>1000001011010111
1101011110001000=>1000001011011101
1101011110100000=>1000001011110101
1101100010101010=>1000110111111111
1101100011001100=>1000110110011001
1101100100101010=>1000110001111111
1101100100101100=>1000110001111001
1101100100110010=>1000110001100111
1101100100111000=>1000110001101101
1101100101010100=>1000110000000001
1101100110001100=>1000110011011001
1101100110010010=>1000110011000111
1101100110010100=>1000110011000001
1101100110011000=>1000110011001101
1101100111000100=>1000110010010001
1101100111001000=>1000110010011101
1101100111010000=>1000110010000101
1101101000101010=>1000111101111111
1101101000110100=>1000111101100001
1101101001010100=>1000111100000001
1101101010001010=>1000111111011111
1101101010100010=>1000111111110111
1101101010100100=>1000111111110001
1101101010101000=>1000111111111101
1101101010110000=>1000111111100101
1101101101000010=>1000111000010111
1101101101010000=>1000111000000101
1101101110100000=>1000111011110101
1101101111000000=>1000111010010101
1101110000101010=>1000100101111111
1101110010001100=>1000100111011001
1101110010101000=>1000100111111101
1101110011001000=>1000100110011101
1101110100100010=>1000100001110111
1101110100101000=>1000100001111101
1101110101001000=>1000100000011101
1101110101010000=>1000100000000101
1101110110001000=>1000100011011101
1101110110100000=>1000100011110101
1101110111000000=>1000100010010101
1101111000001100=>1000101101011001
1101111000010100=>1000101101000001
1101111000011000=>1000101101001101
1101111000101000=>1000101101111101
1101111001100000=>1000101100110101
1101111010001000=>1000101111011101
1101111010010000=>1000101111000101
1101111010100000=>1000101111110101
1101111011000000=>1000101110010101
1101111100000010=>1000101001010111
1101111100000100=>1000101001010001
1101111100001000=>1000101001011101
1101111100010000=>1000101001000101
1101111100100000=>1000101001110101
1101111101000000=>1000101000010101
1101111110000000=>1000101011010101
1110001010101010=>1011011111111111
1110001010101100=>1011011111111001
1110001010110100=>1011011111100001
1110001011101000=>1011011110111101
1110001110101000=>1011011011111101
1110001110110000=>1011011011100101
1110001111000010=>1011011010010111
1110001111010000=>1011011010000101
1110001111100000=>1011011010110101
1110010010101010=>1011000111111111
1110010011110000=>1011000110100101
1110010100101010=>1011000001111111
1110010101001010=>1011000000011111
1110010101010010=>1011000000000111
1110010101010100=>1011000000000001
1110011001010100=>1011001100000001
1110011010101000=>1011001111111101
1110011110100000=>1011001011110101
1110011111000000=>1011001010010101
1110100010101010=>1011110111111111
1110100010110100=>1011110111100001
1110100011001100=>1011110110011001
1110100011101000=>1011110110111101
1110100011110000=>1011110110100101
1110100100110100=>1011110001100001
1110100101010010=>1011110000000111
1110100101010100=>1011110000000001
1110100110100010=>1011110011110111
1110101000101010=>1011111101111111
1110101000101100=>1011111101111001
1110101001001010=>1011111100011111
1110101001001100=>1011111100011001
1110101001010010=>1011111100000111
1110101001010100=>1011111100000001
1110101010001010=>1011111111011111
1110101010001100=>1011111111011001
1110101010011000=>1011111111001101
1110101010100010=>1011111111110111
1110101010100100=>1011111111110001
1110101010101000=>1011111111111101
1110101010110000=>1011111111100101
1110101011001000=>1011111110011101
1110101011010000=>1011111110000101
1110101011100000=>1011111110110101
1110101100001100=>1011111001011001
1110101100010100=>1011111001000001
1110101100101000=>1011111001111101
1110101100110000=>1011111001100101
1110101101000100=>1011111000010001
1110101101001000=>1011111000011101
1110101101010000=>1011111000000101
1110101101100000=>1011111000110101
1110101110001000=>1011111011011101
1110101110010000=>1011111011000101
1110101110100000=>1011111011110101
1110101111000000=>1011111010010101
1110110010001100=>1011100111011001
1110110010101000=>1011100111111101
1110110010110000=>1011100111100101
1110110011001000=>1011100110011101
1110110011010000=>1011100110000101
1110110011100000=>1011100110110101
1110110100010010=>1011100001000111
1110110100010100=>1011100001000001
1110110100101000=>1011100001111101
1110110100110000=>1011100001100101
1110110101000100=>1011100000010001
1110110101001000=>1011100000011101
1110110101010000=>1011100000000101
1110110101100000=>1011100000110101
1110110110001000=>1011100011011101
1110110110010000=>1011100011000101
1110110110100000=>1011100011110101
1110110111000000=>1011100010010101
1110111000001100=>1011101101011001
1110111000010100=>1011101101000001
1110111000101000=>1011101101111101
1110111000110000=>1011101101100101
1110111001000100=>1011101100010001
1110111001001000=>1011101100011101
1110111001010000=>1011101100000101
1110111001100000=>1011101100110101
1110111010000100=>1011101111010001
1110111010001000=>1011101111011101
1110111010010000=>1011101111000101
1110111010100000=>1011101111110101
1110111011000000=>1011101110010101
1110111100000010=>1011101001010111
1110111100000100=>1011101001010001
1110111100001000=>1011101001011101
1110111100010000=>1011101001000101
1110111100100000=>1011101001110101
1110111101000000=>1011101000010101
1110111110000000=>1011101011010101
1111000010101010=>1010010111111111
1111000010110100=>1010010111100001
1111000011001100=>1010010110011001
1111000011101000=>1010010110111101
1111000011110000=>1010010110100101
1111000100101010=>1010010001111111
1111000101001010=>1010010000011111
1111000101010010=>1010010000000111
1111000101010100=>1010010000000001
1111000111010000=>1010010010000101
1111001000101010=>1010011101111111
1111001000111000=>1010011101101101
1111001010100100=>1010011111110001
1111001010101000=>1010011111111101
1111001010110000=>1010011111100101
1111001011001000=>1010011110011101
1111001011010000=>1010011110000101
1111001011100000=>1010011110110101
1111001100101000=>1010011001111101
1111001100110000=>1010011001100101
1111001101001000=>1010011000011101
1111001101010000=>1010011000000101
1111001101100000=>1010011000110101
1111001110001000=>1010011011011101
1111001110010000=>1010011011000101
1111001110100000=>1010011011110101
1111001111000000=>1010011010010101
1111010000111000=>1010000101101101
1111010001010100=>1010000100000001
1111010010010010=>1010000111000111
1111010010101000=>1010000111111101
1111010010110000=>1010000111100101
1111010011001000=>1010000110011101
1111010011010000=>1010000110000101
1111010011100000=>1010000110110101
1111010100001100=>1010000001011001
1111010100010100=>1010000001000001
1111010100101000=>1010000001111101
1111010100110000=>1010000001100101
1111010101000100=>1010000000010001
1111010101001000=>1010000000011101
1111010101010000=>1010000000000101
1111010101100000=>1010000000110101
1111010110000010=>1010000011010111
1111010110001000=>1010000011011101
1111010110010000=>1010000011000101
1111010110100000=>1010000011110101
1111010111000000=>1010000010010101
1111011000001100=>1010001101011001
1111011000101000=>1010001101111101
1111011000110000=>1010001101100101
1111011001001000=>1010001100011101
1111011001010000=>1010001100000101
1111011001100000=>1010001100110101
1111011010000100=>1010001111010001
1111011010001000=>1010001111011101
1111011010010000=>1010001111000101
1111011010100000=>1010001111110101
1111011011000000=>1010001110010101
1111011100000010=>1010001001010111
1111011100000100=>1010001001010001
1111011100001000=>1010001001011101
1111011100010000=>1010001001000101
1111011100100000=>1010001001110101
1111011101000000=>1010001000010101
1111011110000000=>1010001011010101
1111100000101010=>1010110101111111
1111100000110100=>1010110101100001
1111100000111000=>1010110101101101
1111100001001010=>1010110100011111
1111100001010010=>1010110100000111
1111100001101000=>1010110100111101
1111100010001010=>1010110111011111
1111100010001100=>1010110111011001
1111100010101000=>1010110111111101
1111100010110000=>1010110111100101
1111100011000010=>1010110110010111
1111100011001000=>1010110110011101
1111100011010000=>1010110110000101
1111100011100000=>1010110110110101
1111100100001100=>1010110001011001
1111100100101000=>1010110001111101
1111100100110000=>1010110001100101
1111100101001000=>1010110000011101
1111100101010000=>1010110000000101
1111100101100000=>1010110000110101
1111100110000010=>1010110011010111
1111100110000100=>1010110011010001
1111100110001000=>1010110011011101
1111100110010000=>1010110011000101
1111100110100000=>1010110011110101
1111100111000000=>1010110010010101
1111101000001100=>1010111101011001
1111101000100100=>1010111101110001
1111101000101000=>1010111101111101
1111101000110000=>1010111101100101
1111101001000100=>1010111100010001
1111101001001000=>1010111100011101
1111101001010000=>1010111100000101
1111101001100000=>1010111100110101
1111101010000010=>1010111111010111
1111101010000100=>1010111111010001
1111101010001000=>1010111111011101
1111101010010000=>1010111111000101
1111101010100000=>1010111111110101
1111101011000000=>1010111110010101
1111101100000010=>1010111001010111
1111101100000100=>1010111001010001
1111101100001000=>1010111001011101
1111101100010000=>1010111001000101
1111101100100000=>1010111001110101
1111101101000000=>1010111000010101
1111101110000000=>1010111011010101
1111110000001010=>1010100101011111
1111110000001100=>1010100101011001
1111110000010010=>1010100101000111
1111110000010100=>1010100101000001
1111110000011000=>1010100101001101
1111110000100010=>1010100101110111
1111110000100100=>1010100101110001
1111110000101000=>1010100101111101
1111110000110000=>1010100101100101
1111110001000010=>1010100100010111
1111110001000100=>1010100100010001
1111110001001000=>1010100100011101
1111110001010000=>1010100100000101
1111110001100000=>1010100100110101
1111110010000010=>1010100111010111
1111110010000100=>1010100111010001
1111110010001000=>1010100111011101
1111110010010000=>1010100111000101
1111110010100000=>1010100111110101
1111110011000000=>1010100110010101
1111110100000010=>1010100001010111
1111110100000100=>1010100001010001
1111110100001000=>1010100001011101
1111110100010000=>1010100001000101
1111110100100000=>1010100001110101
1111110101000000=>1010100000010101
1111110110000000=>1010100011010101
1111111000000010=>1010101101010111
1111111000000100=>1010101101010001
1111111000001000=>1010101101011101
1111111000010000=>1010101101000101
1111111000100000=>1010101101110101
1111111001000000=>1010101100010101
1111111010000000=>1010101111010101
1111111100000000=>1010101001010101
1000000000000000=>1101010101010101
0000000111111101=>0101010010101000
0100000001111111=>0001010100101010
0000001011111101=>0101011110101000
0100000010111111=>0001010111101010
0000001101111101=>0101011000101000
0000010011111101=>0101000110101000
0100000011011111=>0001010110001010
0100000100111111=>0001010001101010
0000001110111101=>0101011011101000
0000010101111101=>0101000000101000
0000100011111101=>0101110110101000
0100000011101111=>0001010110111010
0100000101011111=>0001010000001010
0100001000111111=>0001011101101010
0101010101010101=>0000000000000000
0011010101010101=>0110000000000000
0010110101010101=>0111100000000000
0010101101010101=>0111111000000000
0010101011010101=>0111111110000000
0010101010110101=>0111111111100000
0010101010101101=>0111111111111000
0010101010101011=>0111111111111110
0001110101010101=>0100100000000000
0010011101010101=>0111001000000000
0010100111010101=>0111110010000000
0010101001110101=>0111111100100000
0010101010011101=>0111111111001000
0010101010100111=>0111111111110010
0001011101010101=>0100001000000000
0010010111010101=>0111000010000000
0000111101010101=>0101101000000000
0010100101110101=>0111110000100000
0010001111010101=>0111011010000000
0010101001011101=>0111111100001000
0010100011110101=>0111110110100000
0010101010010111=>0111111111000010
0010101000111101=>0111111101101000
0010101010001111=>0111111111011010
0101010101010011=>0000000000000110
0101010101001011=>0000000000011110
0101010100101011=>0000000001111110
0101010010101011=>0000000111111110
0101001010101011=>0000011111111110
0100101010101011=>0001111111111110
0101010101000111=>0000000000010010
0101010100011011=>0000000001001110
0101010001101011=>0000000100111110
0101000110101011=>0000010011111110
0100011010101011=>0001001111111110
0001101010101011=>0100111111111110
0101010100010111=>0000000001000010
0101010001011011=>0000000100001110
0101010100001111=>0000000001011010
0101000101101011=>0000010000111110
0101010000111011=>0000000101101110
0100010110101011=>0001000011111110
0101000011101011=>0000010110111110
0001011010101011=>0100001111111110
0100001110101011=>0001011011111110
0000111010101011=>0101101111111110
1111110000000101=>1010100101010000
0111111100000001=>0010101001010100
1111101000000101=>1010111101010000
0111111010000001=>0010101111010100
1111100100000101=>1010110001010000
1111011000000101=>1010001101010000
0111111001000001=>0010101100010100
0111110110000001=>0010100011010100
1111100010000101=>1010110111010000
1111010100000101=>1010000001010000
1110111000000101=>1011101101010000
0111111000100001=>0010101101110100
0111110101000001=>0010100000010100
0111101110000001=>0010111011010100
0101111111000000=>0000101010010101
0101111110100000=>0000101011110101
0101111110010000=>0000101011000101
0101111101100000=>0000101000110101
0101111110001000=>0000101011011101
0101111101010000=>0000101000000101
0101111011100000=>0000101110110101
1000000111111100=>1101010010101001
0000001101111110=>0101011000101011
1000001111111000=>1101011010101101
0000011101111100=>0101001000101001
1000010111111000=>1101000010101101
1000001111110100=>1101011010100001
0000101101111100=>0101111000101001
0000011101111010=>0101001000101111
1000100111111000=>1101110010101101
1000011111110000=>1101001010100101
1000001111101100=>1101011010111001
0001001101111100=>0100011000101001
0000111101111000=>0101101000101101
0000011101110110=>0101001000100011
0101010101011001=>0000000000001100
0101010101101001=>0000000000111100
0101010110101001=>0000000011111100
0101011010101001=>0000001111111100
0101101010101001=>0000111111111100
0110101010101001=>0011111111111100
1010101010101001=>1111111111111100
0101010101110001=>0000000000100100
0101010111001001=>0000000010011100
0101011100101001=>0000001001111100
0101110010101001=>0000100111111100
0111001010101001=>0010011111111100
1100101010101001=>1001111111111100
0101010111010001=>0000000010000100
0101011101001001=>0000001000011100
0101010111100001=>0000000010110100
0101110100101001=>0000100001111100
0101011110001001=>0000001011011100
0111010010101001=>0010000111111100
0101111000101001=>0000101101111100
1101001010101001=>1000011111111100
0111100010101001=>0010110111111100
1110001010101001=>1011011111111100
0101010101010110=>0000000000000011
0101010101011010=>0000000000001111
0101010101101010=>0000000000111111
0101010110101010=>0000000011111111
0101011010101010=>0000001111111111
0101101010101010=>0000111111111111
0110101010101010=>0011111111111111
0101010101011100=>0000000000001001
0101010101110010=>0000000000100111
0101010111001010=>0000000010011111
0101011100101010=>0000001001111111
0101110010101010=>0000100111111111
0111001010101010=>0010011111111111
0101010101110100=>0000000000100001
0101010111010010=>0000000010000111
0101010101111000=>0000000000101101
0101011101001010=>0000001000011111
0101010111100010=>0000000010110111
0101110100101010=>0000100001111111
0101011110001010=>0000001011011111
0111010010101010=>0010000111111111
0101111000101010=>0000101101111111
0111100010101010=>0010110111111111
0111111100000010=>0010101001010111
0111111100000100=>0010101001010001
0111111100001000=>0010101001011101
0111111100010000=>0010101001000101
0111111100100000=>0010101001110101
0111111101000000=>0010101000010101
0111111110000000=>0010101011010101
0011111100000110=>0110101001010011
0101111100001100=>0000101001011001
0110111100011000=>0011101001001101
0111011100110000=>0010001001100101
0111101101100000=>0010111000110101
0111110111000000=>0010100010010101
0011111100001100=>0110101001011001
0101111100011000=>0000101001001101
0001111100001110=>0100101001011011
0110111100110000=>0011101001100101
0100111100011100=>0001101001001001
0111011101100000=>0010001000110101
0110011100111000=>0011001001101101
0111101111000000=>0010111010010101
0111001101110000=>0010011000100101
0111100111100000=>0010110010110101
00000001000000001=>01010100010101011
10000000010000000=>11010101000101010
00000010100000001=>01010111110101011
10000000101000000=>11010101111101010
00000010010000001=>01010111000101011
00000100100000001=>01010001110101011
10000000100100000=>11010101110001010
10000001001000000=>11010100011101010
10010010010010010=>11000111000111000
10001010010100010=>11011111000001000
11010101010101010=>10000000000000000
10110101010101010=>11100000000000000
10101101010101010=>11111000000000000
10101011010101010=>11111110000000000
10101010110101010=>11111111100000000
10101010101101010=>11111111111000000
10101010101011010=>11111111111110000
10101010101010110=>11111111111111100
10101010101010101=>11111111111111111
10101010101010010=>11111111111111000
10101010101001010=>11111111111100000
10101010100101010=>11111111110000000
10101010010101010=>11111111000000000
10101001010101010=>11111100000000000
10100101010101010=>11110000000000000
10010101010101010=>11000000000000000
01010101010101010=>00000000000000000
10101010101000100=>11111111111101110
10101010100010010=>11111111110111000
10101010001001010=>11111111011100000
10101000100101010=>11111101110000000
10100010010101010=>11110111000000000
10001001010101010=>11011100000000000
00100101010101010=>01110000000000000
11111111111100000=>10101010101001010
11000000000000000=>10010101010101010
101010101010101010=>111111111111111111
101010101010101100=>111111111111111001
101010101010110100=>111111111111100001
101010101011010100=>111111111110000001
101010101101010100=>111111111000000001
101010110101010100=>111111100000000001
101011010101010100=>111110000000000001
101101010101010100=>111000000000000001
110101010101010100=>100000000000000001
101010101010111000=>111111111111101101
101010101011100100=>111111111110110001
101010101110010100=>111111111011000001
101010111001010100=>111111101100000001
101011100101010100=>111110110000000001
101110010101010100=>111011000000000001
111001010101010100=>101100000000000001
111111110000000010=>101010100101010111
101111111100000000=>111010101001010101
111111101000000010=>101010111101010111
101111111010000000=>111010101111010101
111111100100000010=>101010110001010111
111111011000000010=>101010001101010111
101111111001000000=>111010101100010101
101111110110000000=>111010100011010101
000000001111111101=>010101011010101000
010000000011111111=>000101010110101010
000000010111111101=>010101000010101000
010000000101111111=>000101010000101010
000000011011111101=>010101001110101000
000000100111111101=>010101110010101000
010000000110111111=>000101010011101010
010000001001111111=>000101011100101010
110010101010101010=>100111111111111111
110100101010101010=>100001111111111111
110101001010101010=>100000011111111111
110101010010101010=>100000000111111111
110101010100101010=>100000000001111111
110101010101001010=>100000000000011111
110101010101010010=>100000000000000111
111000101010101010=>101101111111111111
110110001010101010=>100011011111111111
110101100010101010=>100000110111111111
110101011000101010=>100000001101111111
110101010110001010=>100000000011011111
110101010101100010=>100000000000110111
110101010101011000=>100000000000001101
010101010101010101=>000000000000000000
001101010101010101=>011000000000000000
001011010101010101=>011110000000000000
001010110101010101=>011111100000000000
001010101101010101=>011111111000000000
001010101011010101=>011111111110000000
001010101010110101=>011111111111100000
001010101010101101=>011111111111111000
001010101010101011=>011111111111111110
000111010101010101=>010010000000000000
001001110101010101=>011100100000000000
001010011101010101=>011111001000000000
001010100111010101=>011111110010000000
001010101001110101=>011111111100100000
001010101010011101=>011111111111001000
001010101010100111=>011111111111110010
010101010101010011=>000000000000000110
010101010101001011=>000000000000011110
010101010100101011=>000000000001111110
010101010010101011=>000000000111111110
010101001010101011=>000000011111111110
010100101010101011=>000001111111111110
010010101010101011=>000111111111111110
010101010101000111=>000000000000010010
010101010100011011=>000000000001001110
010101010001101011=>000000000100111110
010101000110101011=>000000010011111110
010100011010101011=>000001001111111110
010001101010101011=>000100111111111110
000110101010101011=>010011111111111110
111010010101010100=>101111000000000001
110110010101010100=>100011000000000001
101110001010101010=>111011011111111111
110101010101101000=>100000000000111101
110101010110101000=>100000000011111101
110101011010101000=>100000001111111101
110101101010101000=>100000111111111101
110110101010101000=>100011111111111101
111010101010101000=>101111111111111101
110101010101110000=>100000000000100101
110101010111001000=>100000000010011101
110101011100101000=>100000001001111101
110101110010101000=>100000100111111101
110111001010101000=>100010011111111101
111100101010101000=>101001111111111101
110101010111010000=>100000000010000101
110101011101001000=>100000001000011101
110101010111100000=>100000000010110101
110101110100101000=>100000100001111101
110101011110001000=>100000001011011101
110111010010101000=>100010000111111101
110101111000101000=>100000101101111101
111101001010101000=>101000011111111101
110111100010101000=>100010110111111101
111110001010101000=>101011011111111101
111111111000000000=>101010101101010101
111111100000001010=>101010110101011111
111111000000101010=>101010010101111111
111110000010101010=>101011010111111111
111100001010101010=>101001011111111111
111111110000000100=>101010100101010001
111111100000010010=>101010110101000111
111111000001001010=>101010010100011111
111110000100101010=>101011010001111111
111100010010101010=>101001000111111111
111001001010101010=>101100011111111111
111111100000000101=>101010110101010000
011111111000000001=>001010101101010100
111111010000000101=>101010000101010000
011111110100000001=>001010100001010100
111111001000000101=>101010011101010000
111110110000000101=>101011100101010000
011111110010000001=>001010100111010100
011111101100000001=>001010111001010100
111111110010000000=>101010100111010101
111111110100000000=>101010100001010101
110111111001000000=>100010101100010101
110111111010000000=>100010101111010101
111010101010100010=>101111111111110111
111010101010100100=>101111111111110001
111010101010001010=>101111111111011111
110111111100000000=>100010101001010101
110011111100000010=>100110101001010111
111011111100000000=>101110101001010101
111111110000001000=>101010100101011101
101111110000001100=>111010100101011001
101111110101000000=>111010100000010101
101111101010100000=>111010111111110101
101111010101010000=>111010000000000101
101110101010101000=>111011111111111101
101011111110000000=>111110101011010101
101111110010100000=>111010100111110101
101111100101010000=>111010110000000101
101111001010101000=>111010011111111101
111001010101010010=>101100000000000111
101110101010100100=>111011111111110001
101011101010010100=>111110111111000001
101011001011010100=>111110011110000001
101100101010110100=>111001111111100001
110010101010101100=>100111111111111001
110101011101010000=>100000001000000101
110101110101010000=>100000100000000101
110111010101010000=>100010000000000101
111101010101010000=>101000000000000101
110101010100111000=>100000000001101101
110101010011110000=>100000000110100101
110101001111010000=>100000011010000101
110100111101010000=>100001101000000101
110011110101010000=>100110100000000101
111111110000010000=>101010100101000101
111111110000100000=>101010100101110101
111111110001000000=>101010100100010101
111111000000110100=>101010010101100001
111110000011101000=>101011010110111101
111100001111010000=>101001011010000101
111000111110100000=>101101101011110101
110011111101000000=>100110101000010101
111111011010000000=>101010001111010101
111111001100000010=>101010011001010111
111110111000000010=>101011101101010111
111111011001000000=>101010001100010101
111110111010000000=>101011101111010101
111010101000101010=>101111111101111111
111010100010101010=>101111110111111111
111010001010101010=>101111011111111111
110010101010110100=>100111111111100001
110100101010110100=>100001111111100001
110100101010101100=>100001111111111001
101100101010101100=>111001111111111001
111111101100000000=>101010111001010101
111111010110000000=>101010000011010101
111111100101000000=>101010110000010101
111111010011000000=>101010000110010101
111110110110000000=>101011100011010101
111111100100100000=>101010110001110101
111111001101000000=>101010011000010101
101111111000000010=>111010101101010111
101100111111000000=>111001101010010101
101110111001000100=>111011101100010001
101011111001000100=>111110101100010001
101110101101000100=>111011111000010001
101011101101000100=>111110111000010001
101010111101000100=>111111101000010001
101110111000010100=>111011101101000001
101011111000010100=>111110101101000001
101110101100010100=>111011111001000001
101011101100010100=>111110111001000001
101010111100010100=>111111101001000001
101110101001010100=>111011111100000001
101011101001010100=>111110111100000001
110101010110010100=>100000000011000001
110101010110100100=>100000000011110001
101101010010101010=>111000000111111111
101011010010101010=>111110000111111111
101010110010101010=>111111100111111111
110101010111000100=>100000000010010001
110101010110110000=>100000000011100101
110101010010101100=>100000000111111001
111101010010101000=>101000000111111101
110011010010101010=>100110000111111111
101100110010101010=>111001100111111111
101011001010101010=>111110011111111111
111111111111111100=>101010101010101001
110011001100110010=>100110011001100111
110110001100110010=>100011011001100111
110110011000110010=>100011001101100111
110110011001100010=>100011001100110111
110110011001100100=>100011001100110001
110110011001001100=>100011001100011001
110110010011001100=>100011000110011001
110100110011001100=>100001100110011001
101100110011001100=>111001100110011001
110111001000110010=>100010011101100111
110110011100100010=>100011001001110111
110110011001110000=>100011001100100101
110110011001001010=>100011001100011111
110110010011100100=>100011000110110001
110100111001001100=>100001101100011001
101110010011001100=>111011000110011001
110011111110000000=>100110101011010101
110011111100100000=>100110101001110101
110011111011000000=>100110101110010101
110010101010110010=>100111111111100111
110101010101100100=>100000000000110001
110110101010100100=>100011111111110001
110101101010010100=>100000111111000001
110101011001010100=>100000001100000001
110101001011010100=>100000011110000001
010111111110000000=>000010101011010101
010111111101000000=>000010101000010101
010111111100100000=>000010101001110101
010111111011000000=>000010101110010101
111111100000001100=>101010110101011001
111111010000001100=>101010000101011001
111111001000001100=>101010011101011001
111110110000001100=>101011100101011001
111111101000000100=>101010111101010001
111111100100000100=>101010110001010001
111111011000000100=>101010001101010001
110111110110000000=>100010100011010101
111111100010000100=>101010110111010001
111111010100000100=>101010000001010001
111110111000000100=>101011101101010001
110111111000100000=>100010101101110101
110111110101000000=>100010100000010101
110111101110000000=>100010111011010101
100000001111111100=>110101011010101001
000000011011111110=>010101001110101011
100000011111111000=>110101001010101101
000000111011111100=>010101101110101001
100000101111111000=>110101111010101101
100000011111110100=>110101001010100001
000001011011111100=>010100001110101001
000000111011111010=>010101101110101111
111000111111000000=>101101101010010101
111100001111100000=>101001011010110101
111110000011110000=>101011010110100101
111111000000111000=>101010010101101101
110100111111000000=>100001101010010101
111010001111100000=>101111011010110101
111101000011110000=>101000010110100101
111110100000111000=>101011110101101101
101010101011001100=>111111111110011001
101010110011001100=>111111100110011001
101010101110001100=>111111111011011001
101011100011001100=>111110110110011001
111000110011001100=>101101100110011001
111101010101100000=>101000000000110101
111110010101010000=>101011000000000101
111110101011000000=>101011111110010101
111111001010100000=>101010011111110101
111101010100110000=>101000000001100101
111011010101100000=>101110000000110101
111110010101001000=>101011000000011101
111100110101010000=>101001100000000101
010101010101011001=>000000000000001100
010101010101101001=>000000000000111100
010101010110101001=>000000000011111100
010101011010101001=>000000001111111100
010101101010101001=>000000111111111100
010110101010101001=>000011111111111100
011010101010101001=>001111111111111100
101010101010101001=>111111111111111100
010101010101110001=>000000000000100100
010101010111001001=>000000000010011100
010101011100101001=>000000001001111100
010101110010101001=>000000100111111100
010111001010101001=>000010011111111100
011100101010101001=>001001111111111100
110010101010101001=>100111111111111100
110101010101001100=>100000000000011001
110101010100110010=>100000000001100111
110101010011001010=>100000000110011111
110101001100101010=>100000011001111111
110100110010101010=>100001100111111111
110011001010101010=>100110011111111111
101100101010101010=>111001111111111111
110111111000000010=>100010101101010111
110011011111000000=>100110001010010101
111011110000001100=>101110100101011001
111000111011100000=>101101101110110101
111101100000111000=>101000110101101101
010101010101010110=>000000000000000011
010101010101011010=>000000000000001111
010101010101101010=>000000000000111111
010101010110101010=>000000000011111111
010101011010101010=>000000001111111111
010101101010101010=>000000111111111111
010110101010101010=>000011111111111111
011010101010101010=>001111111111111111
010101010101011100=>000000000000001001
010101010101110010=>000000000000100111
010101010111001010=>000000000010011111
010101011100101010=>000000001001111111
010101110010101010=>000000100111111111
010111001010101010=>000010011111111111
011100101010101010=>001001111111111111
111111011100000000=>101010001001010101
111110111100000000=>101011101001010101
111101111100000000=>101000101001010101
111111101010000000=>101010111111010101
111110111000100000=>101011101101110101
111101111000010000=>101000101101000101
111011111000001000=>101110101101011101
110111111000000100=>100010101101010001
011111111000000010=>001010101101010111
011111111000000100=>001010101101010001
011111111000001000=>001010101101011101
011111111000010000=>001010101101000101
011111111000100000=>001010101101110101
011111111001000000=>001010101100010101
011111111010000000=>001010101111010101
011111111100000000=>001010101001010101
001111111000000110=>011010101101010011
010111111000001100=>000010101101011001
011011111000011000=>001110101101001101
011101111000110000=>001000101101100101
011110111001100000=>001011101100110101
011111011011000000=>001010001110010101
011111101110000000=>001010111011010101
111010101010001100=>101111111111011001
110011101010101000=>100110111111111101
110110101010100010=>100011111111110111
101101010101011000=>111000000000001101
110011010101010100=>100110000000000001
100000000001100000=>110101010100110101
0000000010000000001=>0101010111010101011
1000000000100000000=>1101010101110101010
0000000101000000001=>0101010000010101011
1000000001010000000=>1101010100000101010
1010101010101010101=>1111111111111111111
1010101010101010010=>1111111111111111000
1010101010101001010=>1111111111111100000
1010101010100101010=>1111111111110000000
1010101010010101010=>1111111111000000000
1010101001010101010=>1111111100000000000
1010100101010101010=>1111110000000000000
1010010101010101010=>1111000000000000000
1001010101010101010=>1100000000000000000
0101010101010101010=>0000000000000000000
10101010101010101010=>11111111111111111111
10101010101010101100=>11111111111111111001
10101010101010110100=>11111111111111100001
10101010101011010100=>11111111111110000001
10101010101101010100=>11111111111000000001
10101010110101010100=>11111111100000000001
10101011010101010100=>11111110000000000001
10101101010101010100=>11111000000000000001
10110101010101010100=>11100000000000000001
11010101010101010100=>10000000000000000001
11111111100000000010=>10101010110101010111
10111111111000000000=>11101010101101010101
11111111010000000010=>10101010000101010111
10111111110100000000=>11101010100001010101
00000000011111111101=>01010101001010101000
01000000000111111111=>00010101010010101010
00000000101111111101=>01010101111010101000
01000000001011111111=>00010101011110101010
11001010101010101010=>10011111111111111111
11010010101010101010=>10000111111111111111
11010100101010101010=>10000001111111111111
11010101001010101010=>10000000011111111111
11010101010010101010=>10000000000111111111
11010101010100101010=>10000000000001111111
11010101010101001010=>10000000000000011111
11010101010101010010=>10000000000000000111
01010101010101010101=>00000000000000000000
00110101010101010101=>01100000000000000000
00101101010101010101=>01111000000000000000
00101011010101010101=>01111110000000000000
00101010110101010101=>01111111100000000000
00101010101101010101=>01111111111000000000
00101010101011010101=>01111111111110000000
00101010101010110101=>01111111111111100000
00101010101010101101=>01111111111111111000
00101010101010101011=>01111111111111111110
01010101010101010011=>00000000000000000110
01010101010101001011=>00000000000000011110
01010101010100101011=>00000000000001111110
01010101010010101011=>00000000000111111110
01010101001010101011=>00000000011111111110
01010100101010101011=>00000001111111111110
01010010101010101011=>00000111111111111110
01001010101010101011=>00011111111111111110
11100101010101010100=>10110000000000000001
11100010101010101010=>10110111111111111111
11010101010101011000=>10000000000000001101
11010101010101101000=>10000000000000111101
11010101010110101000=>10000000000011111101
11010101011010101000=>10000000001111111101
11010101101010101000=>10000000111111111101
11010110101010101000=>10000011111111111101
11011010101010101000=>10001111111111111101
11101010101010101000=>10111111111111111101
11010101010101110000=>10000000000000100101
11010101010111001000=>10000000000010011101
11010101011100101000=>10000000001001111101
11010101110010101000=>10000000100111111101
11010111001010101000=>10000010011111111101
11011100101010101000=>10001001111111111101
11110010101010101000=>10100111111111111101
11111111110000000000=>10101010100101010101
11111111000000001010=>10101010010101011111
11111110000000101010=>10101011010101111111
11111100000010101010=>10101001010111111111
11111000001010101010=>10101101011111111111
11110000101010101010=>10100101111111111111
11111111000000000101=>10101010010101010000
01111111110000000001=>00101010100101010100
11111110100000000101=>10101011110101010000
01111111101000000001=>00101010111101010100
11111111100100000000=>10101010110001010101
11111111101000000000=>10101010111101010101
10111111110010000000=>11101010100111010101
11101010101010100010=>10111111111111110111
11011111111000000000=>10001010101101010101
11111111100000000100=>10101010110101010001
10111111101010000000=>11101010111111010101
10111111010101000000=>11101010000000010101
10111110101010100000=>11101011111111110101
10111101010101010000=>11101000000000000101
10111010101010101000=>11101111111111111101
11010101010111010000=>10000000000010000101
11010101011101010000=>10000000001000000101
11010101110101010000=>10000000100000000101
11010111010101010000=>10000010000000000101
11011101010101010000=>10001000000000000101
11110101010101010000=>10100000000000000101
11111111100000001000=>10101010110101011101
11111111100000010000=>10101010110101000101
11111111100000100000=>10101010110101110101
11111111100001000000=>10101010110100010101
11111111100010000000=>10101010110111010101
11111110110000000010=>10101011100101010111
11111110110100000000=>10101011100001010101
11001010101010110100=>10011111111111100001
11001010101010101100=>10011111111111111001
11111111011000000000=>10101010001101010101
11111110101100000000=>10101011111001010101
11111111001010000000=>10101010011111010101
10111111110000000010=>11101010100101010111
10101111111100000000=>11111010101001010101
10110110110110100000=>11100011100011110101
10110110111010010000=>11100011101111000101
10110111010011010000=>11100010000110000101
10110111011010001000=>11100010001111011101
10110111101001001000=>11100010111100011101
10111010011011010000=>11101111001110000101
10111010011101001000=>11101111001000011101
10111011010001101000=>11101110000100111101
10111101001001101000=>11101000011100111101
10111011011010000100=>11101110001111010001
10111011101001000100=>11101110111100010001
10111101001101000100=>11101000011000010001
10111101101000100100=>11101000111101110001
10111110100100100100=>11101011110001110001
11010011011011010000=>10000110001110000101
11010011011101001000=>10000110001000011101
11010011101001101000=>10000110111100111101
11010011101101000100=>10000110111000010001
11010011110100100100=>10000110100001110001
11011010001101101000=>10001111011000111101
11011010001110100100=>10001111011011110001
11101001001101101000=>10111100011000111101
11101001001110100100=>10111100011011110001
11011011010000110100=>10001110000101100001
11011101001000110100=>10001000011101100001
11101001101000110100=>10111100111101100001
11101101000100110100=>10111000010001100001
11110100100100110100=>10100001110001100001
11011011011010000010=>10001110001111010111
11011011101001000010=>10001110111100010111
11011101001101000010=>10001000011000010111
11011101101000100010=>10001000111101110111
11011110100100100010=>10001011110001110111
11101001101101000010=>10111100111000010111
11101001110100100010=>10111100100001110111
11101101000110100010=>10111000010011110111
11110100100110100010=>10100001110011110111
11101101101000010010=>10111000111101000111
11101110100100010010=>10111011110001000111
11110100110100010010=>10100001100001000111
11110110100010010010=>10100011110111000111
11111010010010010010=>10101111000111000111
10101010101100101010=>11111111111001111111
10101010101101001010=>11111111111000011111
10101010101101010010=>11111111111000000111
11101010100101010100=>10111111110000000001
11011010100101010100=>10001111110000000001
11010110100101010100=>10000011110000000001
11010101100101010100=>10000000110000000001
11001100110011001100=>10011001100110011001
11011000110011001100=>10001101100110011001
11011001100011001100=>10001100110110011001
11011001100110001100=>10001100110011011001
11011001100110011000=>10001100110011001101
11011001100110010010=>10001100110011000111
11011001100100110010=>10001100110001100111
11011001001100110010=>10001100011001100111
11010011001100110010=>10000110011001100111
10110011001100110010=>11100110011001100111
11001111111100000000=>10011010101001010101
11001111111010000000=>10011010101111010101
01011111111100000000=>00001010101001010101
01011111111010000000=>00001010101111010101
11111111000000001100=>10101010010101011001
11111110100000001100=>10101011110101011001
11111111010000000100=>10101010000101010001
11011111110100000000=>10001010100001010101
11111111001000000100=>10101010011101010001
11111110110000000100=>10101011100101010001
11011111110010000000=>10001010100111010101
11011111101100000000=>10001010111001010101
10000000011111111100=>11010101001010101001
00000000110111111110=>01010101100010101011
10000000111111111000=>11010101101010101101
00000001110111111100=>01010100100010101001
11100011111110000000=>10110110101011010101
11110000111111000000=>10100101101010010101
11111000001111100000=>10101101011010110101
11111100000011110000=>10101001010110100101
11111110000000111000=>10101011010101101101
10101010101011001100=>11111111111110011001
10101010110011001100=>11111111100110011001
10101100110011001100=>11111001100110011001
11111010101011000000=>10101111111110010101
11111100101010100000=>10101001111111110101
11110101010101100000=>10100000000000110101
11111001010101010000=>10101100000000000101
01010101010101011001=>00000000000000001100
01010101010101101001=>00000000000000111100
01010101010110101001=>00000000000011111100
01010101011010101001=>00000000001111111100
01010101101010101001=>00000000111111111100
01010110101010101001=>00000011111111111100
01011010101010101001=>00001111111111111100
01101010101010101001=>00111111111111111100
10101010101010101001=>11111111111111111100
01010101010101010110=>00000000000000000011
01010101010101011010=>00000000000000001111
01010101010101101010=>00000000000000111111
01010101010110101010=>00000000000011111111
01010101011010101010=>00000000001111111111
01010101101010101010=>00000000111111111111
01010110101010101010=>00000011111111111111
01011010101010101010=>00001111111111111111
01101010101010101010=>00111111111111111111
11111110111000000000=>10101011101101010101
11111101111000000000=>10101000101101010101
11111011111000000000=>10101110101101010101
11110111111000000000=>10100010101101010101
11101111111000000000=>10111010101101010101
01111111110000000010=>00101010100101010111
01111111110000000100=>00101010100101010001
01111111110000001000=>00101010100101011101
01111111110000010000=>00101010100101000101
01111111110000100000=>00101010100101110101
01111111110001000000=>00101010100100010101
01111111110010000000=>00101010100111010101
01111111110100000000=>00101010100001010101
01111111111000000000=>00101010101101010101
11111110101000000100=>10101011111101010001
11011111101010000000=>10001010111111010101
11101010101010100100=>10111111111111110001
000000000100000000001=>010101010001010101011
100000000001000000000=>110101010100010101010
1111111111000000000010=>1010101010010101010111
1011111111110000000000=>1110101010100101010101
0000000000111111111101=>0101010101101010101000
0100000000001111111111=>0001010101011010101010
1101010101010101010100=>1000000000000000000001
1010101010101010101100=>1111111111111111111001
1101010101010101011000=>1000000000000000001101
1101010101010101101000=>1000000000000000111101
1101010101010110101000=>1000000000000011111101
1101010101011010101000=>1000000000001111111101
1101010101101010101000=>1000000000111111111101
1101010110101010101000=>1000000011111111111101
1101011010101010101000=>1000001111111111111101
1101101010101010101000=>1000111111111111111101
1110101010101010101000=>1011111111111111111101
1111111110000000000101=>1010101011010101010000
0111111111100000000001=>0010101010110101010100
1111111111001000000000=>1010101010011101010101
1111111111010000000000=>1010101010000101010101
1010101010101010110100=>1111111111111111100001
1111111110110000000000=>1010101011100101010101
1111111111100000000000=>1010101010110101010101
1100111111111000000000=>1001101010101101010101
1100101010101010101010=>1001111111111111111111
0101111111111000000000=>0000101010101101010101
1111111110000000001100=>1010101011010101011001
1111111111000000000100=>1010101010010101010001
1101111111110000000000=>1000101010100101010101
1111111110100000000100=>1010101011110101010001
1101111111101000000000=>1000101010111101010101
1000000000111111111100=>1101010101101010101001
0000000001101111111110=>0101010100111010101011
1111101010101011000000=>1010111111111110010101
1111110010101010100000=>1010100111111111110101
101101101101101101000000=>111000111000111000010101
101101101101110100100000=>111000111000100001110101
101101101110100110100000=>111000111011110011110101
101101101110110100010000=>111000111011100001000101
101101101111010010010000=>111000111010000111000101
101101110100110110100000=>111000100001100011110101
101101110100111010010000=>111000100001101111000101
101101110110100011010000=>111000100011110110000101
101101111010010011010000=>111000101111000110000101
101101110110110100001000=>111000100011100001011101
101101110111010010001000=>111000100010000111011101
101101111010011010001000=>111000101111001111011101
101101111011010001001000=>111000101110000100011101
101101111101001001001000=>111000101000011100011101
101110100110110110100000=>111011110011100011110101
101110100110111010010000=>111011110011101111000101
101110100111010011010000=>111011110010000110000101
101110100111011010001000=>111011110010001111011101
101110100111101001001000=>111011110010111100011101
101110110100011011010000=>111011100001001110000101
101110110100011101001000=>111011100001001000011101
101111010010011011010000=>111010000111001110000101
101111010010011101001000=>111010000111001000011101
101110110110100001101000=>111011100011110100111101
101110111010010001101000=>111011101111000100111101
101111010011010001101000=>111010000110000100111101
101111011010001001101000=>111010001111011100111101
101111101001001001101000=>111010111100011100111101
101110110110110100000100=>111011100011100001010001
101110110111010010000100=>111011100010000111010001
101110111010011010000100=>111011101111001111010001
101110111011010001000100=>111011101110000100010001
101110111101001001000100=>111011101000011100010001
101111010011011010000100=>111010000110001111010001
101111010011101001000100=>111010000110111100010001
101111011010001101000100=>111010001111011000010001
101111101001001101000100=>111010111100011000010001
101111011011010000100100=>111010001110000101110001
101111011101001000100100=>111010001000011101110001
101111101001101000100100=>111010111100111101110001
101111101101000100100100=>111010111000010001110001
101111110100100100100100=>111010100001110001110001
110100110110110110100000=>100001100011100011110101
110100110110111010010000=>100001100011101111000101
110100110111010011010000=>100001100010000110000101
110100110111011010001000=>100001100010001111011101
110100110111101001001000=>100001100010111100011101
110100111010011011010000=>100001101111001110000101
110100111010011101001000=>100001101111001000011101
110100111011010001101000=>100001101110000100111101
110100111101001001101000=>100001101000011100111101
110100111011011010000100=>100001101110001111010001
110100111011101001000100=>100001101110111100010001
110100111101001101000100=>100001101000011000010001
110100111101101000100100=>100001101000111101110001
110100111110100100100100=>100001101011110001110001
110110100011011011010000=>100011110110001110000101
110110100011011101001000=>100011110110001000011101
110110100011101001101000=>100011110110111100111101
110110100011101101000100=>100011110110111000010001
110110100011110100100100=>100011110110100001110001
111010010011011011010000=>101111000110001110000101
111010010011011101001000=>101111000110001000011101
111010010011101001101000=>101111000110111100111101
111010010011101101000100=>101111000110111000010001
111010010011110100100100=>101111000110100001110001
110110110100001101101000=>100011100001011000111101
110110110100001110100100=>100011100001011011110001
110111010010001101101000=>100010000111011000111101
110111010010001110100100=>100010000111011011110001
111010011010001101101000=>101111001111011000111101
111010011010001110100100=>101111001111011011110001
111011010001001101101000=>101110000100011000111101
111011010001001110100100=>101110000100011011110001
111101001001001101101000=>101000011100011000111101
111101001001001110100100=>101000011100011011110001
110110110110100000110100=>100011100011110101100001
110110111010010000110100=>100011101111000101100001
110111010011010000110100=>100010000110000101100001
110111011010001000110100=>100010001111011101100001
110111101001001000110100=>100010111100011101100001
111010011011010000110100=>101111001110000101100001
111010011101001000110100=>101111001000011101100001
111011010001101000110100=>101110000100111101100001
111101001001101000110100=>101000011100111101100001
111011011010000100110100=>101110001111010001100001
111011101001000100110100=>101110111100010001100001
111101001101000100110100=>101000011000010001100001
111101101000100100110100=>101000111101110001100001
111110100100100100110100=>101011110001110001100001
110110110110110100000010=>100011100011100001010111
110110110111010010000010=>100011100010000111010111
110110111010011010000010=>100011101111001111010111
110110111011010001000010=>100011101110000100010111
110110111101001001000010=>100011101000011100010111
110111010011011010000010=>100010000110001111010111
110111010011101001000010=>100010000110111100010111
110111011010001101000010=>100010001111011000010111
110111101001001101000010=>100010111100011000010111
110111011011010000100010=>100010001110000101110111
110111011101001000100010=>100010001000011101110111
110111101001101000100010=>100010111100111101110111
110111101101000100100010=>100010111000010001110111
110111110100100100100010=>100010100001110001110111
111010011011011010000010=>101111001110001111010111
111010011011101001000010=>101111001110111100010111
111010011101001101000010=>101111001000011000010111
111010011101101000100010=>101111001000111101110111
111010011110100100100010=>101111001011110001110111
111011010001101101000010=>101110000100111000010111
111011010001110100100010=>101110000100100001110111
111101001001101101000010=>101000011100111000010111
111101001001110100100010=>101000011100100001110111
111011011010000110100010=>101110001111010011110111
111011101001000110100010=>101110111100010011110111
111101001101000110100010=>101000011000010011110111
111101101000100110100010=>101000111101110011110111
111110100100100110100010=>101011110001110011110111
111011011011010000010010=>101110001110000101000111
111011011101001000010010=>101110001000011101000111
111011101001101000010010=>101110111100111101000111
111011101101000100010010=>101110111000010001000111
111011110100100100010010=>101110100001110001000111
111101001101101000010010=>101000011000111101000111
111101001110100100010010=>101000011011110001000111
111101101000110100010010=>101000111101100001000111
111110100100110100010010=>101011110001100001000111
111101101101000010010010=>101000111000010111000111
111101110100100010010010=>101000100001110111000111
111110100110100010010010=>101011110011110111000111
111110110100010010010010=>101011100001000111000111
111111010010010010010010=>101010000111000111000111
111111111110000000000100=>101010101011010101010001
110111111111100000000000=>100010101010110101010101
11111111111111111111111100000=>10101010101010101010101001010
click to show experimental identities
(only identities of compositions of up to three maps are shown)
Description
Sends a binary word $w_1\cdots w_m$ to the binary word $v_1 \cdots v_m$ with $v_i = w_i$ if $i$ is odd and $v_i = 1 - w_i$ if $i$ is even.
This map is used in [1], see Definitions 3.2 and 5.1.
This map is used in [1], see Definitions 3.2 and 5.1.
References
[1] Karp, S. N., Williams, L. K. The m=1 amplituhedron and cyclic hyperplane arrangements arXiv:1608.08288
Properties
bijective, graded, involutive
Sage code
def mapping(w): P = w.parent() v = list(w) for i in range(len(v)): if is_odd(i): v[i] = 1-v[i] return P(v)
Weight
21
Created
Sep 04, 2020 at 16:31 by Christian Stump
Updated
Sep 04, 2020 at 16:31 by Christian Stump
searching the database
Sorry, this map was not found in the database.