Identifier
Images
=>
0=>0
1=>1
00=>00
01=>10
10=>10
11=>11
000=>000
001=>100
010=>100
011=>110
100=>100
101=>110
110=>110
111=>111
0000=>0000
0001=>1000
0010=>1000
0011=>1010
0100=>1000
0101=>1100
0110=>1010
0111=>1110
1000=>1000
1001=>1010
1010=>1100
1011=>1110
1100=>1010
1101=>1110
1110=>1110
1111=>1111
00000=>00000
00001=>10000
00010=>10000
00011=>10010
00100=>10000
00101=>11000
00110=>10010
00111=>10110
01000=>10000
01001=>11000
01010=>11000
01011=>11100
01100=>10010
01101=>11100
01110=>10110
01111=>11110
10000=>10000
10001=>10010
10010=>11000
10011=>10110
10100=>11000
10101=>11100
10110=>11100
10111=>11110
11000=>10010
11001=>10110
11010=>11100
11011=>11110
11100=>10110
11101=>11110
11110=>11110
11111=>11111
000000=>000000
000001=>100000
000010=>100000
000011=>100010
000100=>100000
000101=>101000
000110=>100010
000111=>100110
001000=>100000
001001=>110000
001010=>101000
001011=>101100
001100=>100010
001101=>110010
001110=>100110
001111=>101110
010000=>100000
010001=>101000
010010=>110000
010011=>110010
010100=>101000
010101=>111000
010110=>101100
010111=>111010
011000=>100010
011001=>101100
011010=>110010
011011=>111100
011100=>100110
011101=>111010
011110=>101110
011111=>111110
100000=>100000
100001=>100010
100010=>101000
100011=>100110
100100=>110000
100101=>101100
100110=>110010
100111=>101110
101000=>101000
101001=>110010
101010=>111000
101011=>111010
101100=>101100
101101=>111100
101110=>111010
101111=>111110
110000=>100010
110001=>100110
110010=>101100
110011=>101110
110100=>110010
110101=>111010
110110=>111100
110111=>111110
111000=>100110
111001=>101110
111010=>111010
111011=>111110
111100=>101110
111101=>111110
111110=>111110
111111=>111111
0000000=>0000000
0000001=>1000000
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0000100=>1000000
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0000111=>1000110
0001000=>1000000
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0010000=>1000000
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0010010=>1100000
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0010100=>1001000
0010101=>1110000
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0010111=>1011010
0011000=>1000010
0011001=>1100100
0011010=>1010010
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0011100=>1000110
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0011111=>1011110
0100000=>1000000
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0100100=>1100000
0100101=>1110000
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0101000=>1001000
0101001=>1110000
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0110000=>1000010
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1000000=>1000000
1000001=>1000010
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1000100=>1100000
1000101=>1001100
1000110=>1010010
1000111=>1001110
1001000=>1100000
1001001=>1100100
1001010=>1110000
1001011=>1011010
1001100=>1100100
1001101=>1101100
1001110=>1100110
1001111=>1011110
1010000=>1001000
1010001=>1010010
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1010011=>1100110
1010100=>1110000
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1100100=>1100100
1100101=>1011010
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1101000=>1010010
1101001=>1100110
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1101011=>1110110
1101100=>1101100
1101101=>1111100
1101110=>1111100
1101111=>1111110
1110000=>1000110
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1110010=>1011010
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1110100=>1100110
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1111000=>1001110
1111001=>1011110
1111010=>1110110
1111011=>1111110
1111100=>1011110
1111101=>1111110
1111110=>1111110
1111111=>1111111
00000000=>00000000
00000001=>10000000
00000010=>10000000
00000011=>10000010
00000100=>10000000
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00101001=>11100000
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00101100=>10001100
00101101=>11010100
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00101111=>10110110
00110000=>10000010
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00110111=>10111100
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01001011=>11010100
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01001111=>11001110
01010000=>10001000
01010001=>10110000
01010010=>11100000
01010011=>11100010
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01010101=>11110000
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01010111=>11110010
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01011001=>10111000
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01011101=>11110010
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01011111=>11101110
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01100001=>10001100
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01111110=>10111110
01111111=>11111110
10000000=>10000000
10000001=>10000010
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10000100=>10100000
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10000110=>10010010
10000111=>10001110
10001000=>11000000
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10001010=>10110000
10001011=>10011010
10001100=>11000010
10001101=>10101100
10001110=>10100110
10001111=>10011110
10010000=>10100000
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10010010=>11100000
10010011=>11001010
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11010011=>11001110
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11100000=>10000110
11100001=>10001110
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11101100=>11011010
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11110000=>10001110
11110001=>10011110
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11111111=>11111111
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111010101=>111100110
111010110=>111101100
111010111=>111011110
111011000=>101011010
111011001=>110110110
111011010=>111110010
111011011=>111110110
111011100=>110111100
111011101=>111111100
111011110=>111111100
111011111=>111111110
111100000=>100001110
111100001=>100011110
111100010=>100110110
111100011=>100111110
111100100=>110010110
111100101=>101101110
111100110=>101111010
111100111=>101111110
111101000=>101001110
111101001=>110011110
111101010=>111100110
111101011=>111011110
111101100=>110110110
111101101=>111110110
111101110=>111111100
111101111=>111111110
111110000=>100011110
111110001=>100111110
111110010=>101101110
111110011=>101111110
111110100=>110011110
111110101=>111011110
111110110=>111110110
111110111=>111111110
111111000=>100111110
111111001=>101111110
111111010=>111011110
111111011=>111111110
111111100=>101111110
111111101=>111111110
111111110=>111111110
111111111=>111111111
1010101010=>1111100000
1010101100=>1011110000
1010110010=>1011110000
1010110100=>1101101000
1010111000=>1001110010
1011001010=>1011110000
1011001100=>1100111000
1011010010=>1101101000
1011010100=>1110100100
1011011000=>1001111000
1011100010=>1001110010
1011100100=>1100110010
1011101000=>1010101010
1011110000=>1000110110
1100101010=>1011110000
1100101100=>1100111000
1100110010=>1100111000
1100110100=>1110001100
1100111000=>1010011100
1101001010=>1101101000
1101001100=>1110001100
1101010010=>1110100100
1101010100=>1111000010
1101011000=>1011011000
1101100010=>1001111000
1101100100=>1101010100
1101101000=>1011001100
1101110000=>1000111100
1110001010=>1001110010
1110001100=>1010011100
1110010010=>1100110010
1110010100=>1110010010
1110011000=>1100011010
1110100010=>1010101010
1110100100=>1110000110
1110101000=>1011000110
1110110000=>1001011010
1111000010=>1000110110
1111000100=>1010010110
1111001000=>1100001110
1111010000=>1001001110
1111100000=>1000011110
1111111111=>1111111111
1111111110=>1111111110
1111111001=>1011111110
1111101101=>1111101110
1111101011=>1110111110
1111100111=>1011111110
1111100001=>1000111110
1110111101=>1111111100
1110110111=>1111101110
1110110001=>1010110110
1110101011=>1111001110
1110100101=>1101010110
1110011111=>1011111110
1110011001=>1100111010
1110001101=>1001111010
1110000111=>1000111110
1110000001=>1000001110
1101111110=>1111101110
1101111011=>1111111100
1101101011=>1111100110
1101011111=>1110111110
1101011011=>1111011010
1101010111=>1111001110
1101010101=>1111100010
1101010011=>1110001110
1101010001=>1011000110
1101001011=>1101010110
1101000011=>1001001110
1100101011=>1011100110
1100001011=>1000110110
1011111110=>1110111110
1011111101=>1111101110
1011110111=>1111111100
1011110001=>1001111010
1011100101=>1011101100
1011011111=>1111101110
1011011001=>1110111000
1011001101=>1110111000
1011000111=>1010110110
1011000001=>1000101100
1010111110=>1111001110
1010110101=>1111110000
1010101011=>1111100010
1010011101=>1110011010
1010010111=>1101010110
1010010001=>1100100010
1010000101=>1001010100
1001111111=>1011111110
1001111110=>1100111110
1001111001=>1100111010
1001101101=>1110111000
1001100111=>1100111010
1001100001=>1010001100
1001011110=>1101010110
1000111110=>1010011110
1000111101=>1010110110
1000110111=>1001111010
1000110001=>1100001100
1000101110=>1010101010
1000101011=>1001110010
1000100101=>1010011000
1000011111=>1000111110
1000011110=>1001001110
1000011001=>1010001100
1000010110=>1001010100
1000001110=>1000100110
1000001101=>1000101100
1000001010=>1000110000
1000000111=>1000001110
1000000110=>1000010010
1000000100=>1000100000
1000000010=>1000001000
1000000001=>1000000010
1000000000=>1000000000
0111111111=>1111111110
0111111101=>1110111110
0111111001=>1011011110
0111110001=>1001101110
0111100001=>1000110110
0111000001=>1000011010
0110000001=>1000001100
0100000001=>1000001000
0000000001=>1000000000
0111111011=>1111101110
0111110101=>1111001110
0111101001=>1101010110
0111010001=>1010101010
0110100001=>1001010100
0101000001=>1000110000
0010000001=>1000100000
0101010101=>1111100000
0101010011=>1111000010
0101001101=>1111000010
0101001011=>1110100100
0101000111=>1011000110
0100110101=>1111000010
0100110011=>1110001100
0100101101=>1110100100
0100101011=>1101101000
0100100111=>1110000110
0100011101=>1011000110
0100011011=>1011001100
0100010111=>1010101010
0100001111=>1001001110
0011010101=>1111000010
0011010011=>1110001100
0011001101=>1110001100
0011001011=>1100111000
0011000111=>1100011010
0010110101=>1110100100
0010110011=>1100111000
0010101101=>1101101000
0010101011=>1011110000
0010100111=>1110010010
0010011101=>1110000110
0010011011=>1101010100
0010010111=>1100110010
0010001111=>1100001110
0001110101=>1011000110
0001110011=>1100011010
0001101101=>1011001100
0001101011=>1011011000
0001100111=>1010011100
0001011101=>1010101010
0001011011=>1001111000
0001010111=>1001110010
0001001111=>1010010110
0000111101=>1001001110
0000111011=>1001011010
0000110111=>1000111100
0000101111=>1000110110
0000011111=>1000011110
10000000000=>10000000000
10000000010=>10000001000
10000000110=>10000010010
10000001110=>10000100110
10000011110=>10001001110
10000111110=>10010011110
10001111110=>10100111110
10011111110=>11001111110
10111111110=>11101111110
11111111110=>11111111110
01111111111=>11111111110
01111111101=>11101111110
01111111001=>10110111110
01111110001=>10011011110
01111100001=>10001101110
01111000001=>10000110110
01110000001=>10000011010
01100000001=>10000001100
01000000001=>10000001000
00000000001=>10000000000
11010101010=>11111100000
11010101000=>10111000010
11010101100=>11110110000
11010100100=>11101000010
11010110100=>11110011000
11010010100=>11110000100
11011010100=>11110001100
11001010100=>11110010000
11101010100=>11110000110
10101010100=>11111000000
101010101010=>111111000000
101010101100=>101111100000
101010110010=>101111100000
101010110100=>110111010000
101010111000=>100111100010
101011001010=>101111100000
101011001100=>110101110000
101011010010=>110111010000
101011010100=>111011001000
101011011000=>100111101000
101011100010=>100111100010
101011100100=>110011100010
101011101000=>101011010010
101011110000=>100011100110
101100101010=>101111100000
101100101100=>110011110000
101100110010=>110101110000
101100110100=>111010011000
101100111000=>101010110100
101101001010=>110111010000
101101001100=>111001101000
101101010010=>111011001000
101101010100=>111101000100
101101011000=>101011110000
101101100010=>100111101000
101101100100=>110011101000
101101101000=>101011011000
101101110000=>100011101100
101110001010=>100111100010
101110001100=>110001110100
101110010010=>110011100010
101110010100=>111001100010
101110011000=>101001110010
101110100010=>101011010010
101110100100=>111001001010
101110101000=>101101001010
101110110000=>100011110010
101111000010=>100011100110
101111000100=>101001100110
101111001000=>110001010110
101111010000=>100101010110
101111100000=>100001101110
110010101010=>101111100000
110010101100=>110101110000
110010110010=>110011110000
110010110100=>111001101000
110010111000=>110001110100
110011001010=>110101110000
110011001100=>111000111000
110011010010=>111010011000
110011010100=>111100010100
110011011000=>101100111000
110011100010=>101010110100
110011100100=>111000101100
110011101000=>101100011010
110011110000=>100100111010
110100101010=>110111010000
110100101100=>111010011000
110100110010=>111001101000
110100110100=>111100001100
110100111000=>101100101100
110101001010=>111011001000
110101001100=>111100010100
110101010010=>111101000100
110101010100=>111110000010
110101011000=>101110110000
110101100010=>101011110000
110101100100=>110110101000
110101101000=>101110011000
110101110000=>100101110100
110110001010=>100111101000
110110001100=>101100111000
110110010010=>110011101000
110110010100=>111010100100
110110011000=>110010111000
110110100010=>101011011000
110110100100=>111010001100
110110101000=>101110001100
110110110000=>100110111000
110111000010=>100011101100
110111000100=>101001101100
110111001000=>110001011100
110111010000=>100101011100
110111100000=>100001111010
111000101010=>100111100010
111000101100=>101010110100
111000110010=>110001110100
111000110100=>101100101100
111000111000=>110000111100
111001001010=>110011100010
111001001100=>111000101100
111001010010=>111001100010
111001010100=>111100100010
111001011000=>110010110010
111001100010=>101001110010
111001100100=>111000110010
111001101000=>110100011100
111001110000=>101000111100
111010001010=>101011010010
111010001100=>101100011010
111010010010=>111001001010
111010010100=>111100001010
111010011000=>110100101010
111010100010=>101101001010
111010100100=>111010000110
111010101000=>101110000110
111010110000=>100110110010
111011000010=>100011110010
111011000100=>101010101010
111011001000=>110010011010
111011010000=>100110011010
111011100000=>100010111100
111100001010=>100011100110
111100001100=>100100111010
111100010010=>101001100110
111100010100=>101100100110
111100011000=>110000111010
111100100010=>110001010110
111100100100=>111000100110
111100101000=>110100010110
111100110000=>101000110110
111101000010=>100101010110
111101000100=>101100001110
111101001000=>110010001110
111101010000=>100110001110
111101100000=>100010110110
111110000010=>100001101110
111110000100=>100100101110
111110001000=>110000101110
111110010000=>101000011110
111110100000=>100010011110
111111000000=>100000111110
010101010101=>111111000000
010101010011=>111110000010
010101001101=>111110000010
010101001011=>111101000100
010101000111=>101110000110
010100110101=>111110000010
010100110011=>111100010100
010100101101=>111101000100
010100101011=>111011001000
010100100111=>111010000110
010100011101=>101110000110
010100011011=>101110001100
010100010111=>101101001010
010100001111=>100110001110
010011010101=>111110000010
010011010011=>111100001100
010011001101=>111100010100
010011001011=>111001101000
010011000111=>110100101010
010010110101=>111101000100
010010110011=>111010011000
010010101101=>111011001000
010010101011=>110111010000
010010100111=>111100001010
010010011101=>111010000110
010010011011=>111010001100
010010010111=>111001001010
010010001111=>110010001110
010001110101=>101110000110
010001110011=>110100011100
010001101101=>101110001100
010001101011=>101110011000
010001100111=>101100011010
010001011101=>101101001010
010001011011=>101011011000
010001010111=>101011010010
010001001111=>101100001110
010000111101=>100110001110
010000111011=>100110011010
010000110111=>100101011100
010000101111=>100101010110
010000011111=>100010011110
001101010101=>111110000010
001101010011=>111100010100
001101001101=>111100001100
001101001011=>111010011000
001101000111=>110100011100
001100110101=>111100010100
001100110011=>111000111000
001100101101=>111001101000
001100101011=>110101110000
001100100111=>111000110010
001100011101=>110100101010
001100011011=>110010111000
001100010111=>101001110010
001100001111=>101000110110
001011010101=>111101000100
001011010011=>111001101000
001011001101=>111010011000
001011001011=>110011110000
001011000111=>110010110010
001010110101=>111011001000
001010110011=>110101110000
001010101101=>110111010000
001010101011=>101111100000
001010100111=>111100100010
001010011101=>111100001010
001010011011=>111010100100
001010010111=>111001100010
001010001111=>110100010110
001001110101=>111010000110
001001110011=>111000110010
001001101101=>111010001100
001001101011=>110110101000
001001100111=>111000101100
001001011101=>111001001010
001001011011=>110011101000
001001010111=>110011100010
001001001111=>111000100110
001000111101=>110010001110
001000111011=>110010011010
001000110111=>110001011100
001000101111=>110001010110
001000011111=>101000011110
000111010101=>101110000110
000111010011=>110100101010
000111001101=>110100011100
000111001011=>110010110010
000111000111=>110000111100
000110110101=>101110001100
000110110011=>110010111000
000110101101=>101110011000
000110101011=>101110110000
000110100111=>101100101100
000110011101=>101100011010
000110011011=>101100111000
000110010111=>110001110100
000110001111=>110000111010
000101110101=>101101001010
000101110011=>101001110010
000101101101=>101011011000
000101101011=>101011110000
000101100111=>101010110100
000101011101=>101011010010
000101011011=>100111101000
000101010111=>100111100010
000101001111=>101100100110
000100111101=>101100001110
000100111011=>101010101010
000100110111=>101001101100
000100101111=>101001100110
000100011111=>110000101110
000011110101=>100110001110
000011110011=>101000110110
000011101101=>100110011010
000011101011=>100110110010
000011100111=>101000111100
000011011101=>100101011100
000011011011=>100110111000
000011010111=>100101110100
000011001111=>100100111010
000010111101=>100101010110
000010111011=>100011110010
000010110111=>100011101100
000010101111=>100011100110
000010011111=>100100101110
000001111101=>100010011110
000001111011=>100010110110
000001110111=>100010111100
000001101111=>100001111010
000001011111=>100001101110
000000111111=>100000111110
111111111111=>111111111111
111111111001=>101111111110
111111100111=>101111111110
111111100001=>100011111110
111111101101=>111110111110
111110011111=>101111111110
111110011001=>110011101110
111110000111=>100011111110
111110000001=>100000111110
111110001101=>100111101110
111110110111=>111110111110
111110110001=>101011011110
111110111101=>111111111010
111110100101=>110101011110
111001111111=>101111111110
111001111001=>110011111100
111001100111=>110011101110
111001100001=>101000110110
111001101101=>101111110010
111000011111=>100011111110
111000011001=>100100111010
111000000111=>100000111110
111000000001=>100000001110
111000001101=>100001111010
111000110111=>100111101110
111000110001=>110000111010
111000111101=>101011111100
111000100101=>101001100110
111011011111=>111110111110
111011011001=>111011100110
111011000111=>101011011110
111011000001=>100010110110
111011001101=>110111101010
111011110111=>111111111010
111011110001=>101011111100
111011111101=>111111111010
111011100101=>101111011010
111010010111=>110101011110
111010010001=>110010001110
111010011101=>110101111100
111010000101=>100101010110
111010110101=>111111001010
100111111111=>101111111110
100111111001=>110011101110
100111100111=>110011111100
100111100001=>100100111010
100111101101=>111011100110
100110011111=>110011101110
100110011001=>111000111000
100110000111=>101000110110
100110000001=>100010001100
100110001101=>110010111000
100110110111=>101111110010
100110110001=>101100111000
100110111101=>110111101010
100110100101=>111010011000
100001111111=>100011111110
100001111001=>101000110110
100001100111=>100100111010
100001100001=>110000001100
100001101101=>100110111000
100000011111=>100000111110
100000011001=>100010001100
100000000111=>100000001110
100000000001=>100000000010
100000001101=>100000101100
100000110111=>100001111010
100000110001=>101000001100
100000111101=>100010110110
100000100101=>100010011000
100011011111=>100111101110
100011011001=>110010111000
100011000111=>110000111010
100011000001=>101000001100
100011001101=>101100111000
100011110111=>101011111100
100011110001=>110000111010
100011111101=>101011011110
100011100101=>110010110010
100010010111=>101001100110
100010010001=>111000001000
100010011101=>101010101010
100010000101=>110000010100
100010110101=>101011110000
101101111111=>111110111110
101101111001=>101111110010
101101100111=>111011100110
101101100001=>100110111000
101101101101=>111111110000
101100011111=>101011011110
101100011001=>101100111000
101100000111=>100010110110
101100000001=>100000101100
101100001101=>100110111000
101100110111=>110111101010
101100110001=>110010111000
101100111101=>111011100110
101100100101=>110011101000
101111011111=>111111111010
101111011001=>110111101010
101111000111=>101011111100
101111000001=>100001111010
101111001101=>101111110010
101111110111=>111111111010
101111110001=>100111101110
101111111101=>111110111110
101111100101=>101110110110
101110010111=>101111011010
101110010001=>110001011100
101110011101=>111011111000
101110000101=>100011101100
101110110101=>111111010100
101001011111=>110101011110
101001011001=>111010011000
101001000111=>110010001110
101001000001=>100100100010
101001001101=>111010001100
101001110111=>110101111100
101001110001=>101100101100
101001111101=>111001101110
101001100101=>111001101000
101000010111=>100101010110
101000010001=>101001000010
101000011101=>100110011010
101000000101=>100001010100
101000110101=>101110011000
101011010111=>111111001010
101011010001=>101110011000
101011011101=>111111010100
101011000101=>101011110000
101011110101=>111111001010
101010010101=>111011001000
click to show experimental identities
(only identities of compositions of up to three maps are shown)
Description
The Burrows-Wheeler transform of a binary word.
The Burrows-Wheeler transform of a finite word $w$ is obtained from $w$ by first listing the conjugates of $w$ in lexicographic order and then concatenating the final letters of the conjugates in this order.
The Burrows-Wheeler transform of a finite word $w$ is obtained from $w$ by first listing the conjugates of $w$ in lexicographic order and then concatenating the final letters of the conjugates in this order.
References
Properties
graded
Sage code
def mapping(w): return w.BWT()
Weight
51
Created
Sep 06, 2022 at 18:07 by Martin Rubey
Updated
Sep 06, 2022 at 18:07 by Martin Rubey
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