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Identifier
Mp00261: Binary words Burrows-WheelerBinary words
Images
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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 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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.
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