Identifier
-
Mp00261:
Binary words
—Burrows-Wheeler⟶
Binary words
St000292: Binary words ⟶ ℤ
Values
0 => 0 => 0
1 => 1 => 0
00 => 00 => 0
01 => 10 => 0
10 => 10 => 0
11 => 11 => 0
000 => 000 => 0
001 => 100 => 0
010 => 100 => 0
011 => 110 => 0
100 => 100 => 0
101 => 110 => 0
110 => 110 => 0
111 => 111 => 0
0000 => 0000 => 0
0001 => 1000 => 0
0010 => 1000 => 0
0011 => 1010 => 1
0100 => 1000 => 0
0101 => 1100 => 0
0110 => 1010 => 1
0111 => 1110 => 0
1000 => 1000 => 0
1001 => 1010 => 1
1010 => 1100 => 0
1011 => 1110 => 0
1100 => 1010 => 1
1101 => 1110 => 0
1110 => 1110 => 0
1111 => 1111 => 0
00000 => 00000 => 0
00001 => 10000 => 0
00010 => 10000 => 0
00011 => 10010 => 1
00100 => 10000 => 0
00101 => 11000 => 0
00110 => 10010 => 1
00111 => 10110 => 1
01000 => 10000 => 0
01001 => 11000 => 0
01010 => 11000 => 0
01011 => 11100 => 0
01100 => 10010 => 1
01101 => 11100 => 0
01110 => 10110 => 1
01111 => 11110 => 0
10000 => 10000 => 0
10001 => 10010 => 1
10010 => 11000 => 0
10011 => 10110 => 1
10100 => 11000 => 0
10101 => 11100 => 0
10110 => 11100 => 0
10111 => 11110 => 0
11000 => 10010 => 1
11001 => 10110 => 1
11010 => 11100 => 0
11011 => 11110 => 0
11100 => 10110 => 1
11101 => 11110 => 0
11110 => 11110 => 0
11111 => 11111 => 0
000000 => 000000 => 0
000001 => 100000 => 0
000010 => 100000 => 0
000011 => 100010 => 1
000100 => 100000 => 0
000101 => 101000 => 1
000110 => 100010 => 1
000111 => 100110 => 1
001000 => 100000 => 0
001001 => 110000 => 0
001010 => 101000 => 1
001011 => 101100 => 1
001100 => 100010 => 1
001101 => 110010 => 1
001110 => 100110 => 1
001111 => 101110 => 1
010000 => 100000 => 0
010001 => 101000 => 1
010010 => 110000 => 0
010011 => 110010 => 1
010100 => 101000 => 1
010101 => 111000 => 0
010110 => 101100 => 1
010111 => 111010 => 1
011000 => 100010 => 1
011001 => 101100 => 1
011010 => 110010 => 1
011011 => 111100 => 0
011100 => 100110 => 1
011101 => 111010 => 1
011110 => 101110 => 1
011111 => 111110 => 0
100000 => 100000 => 0
100001 => 100010 => 1
100010 => 101000 => 1
100011 => 100110 => 1
100100 => 110000 => 0
100101 => 101100 => 1
100110 => 110010 => 1
>>> Load all 1289 entries. <<<100111 => 101110 => 1
101000 => 101000 => 1
101001 => 110010 => 1
101010 => 111000 => 0
101011 => 111010 => 1
101100 => 101100 => 1
101101 => 111100 => 0
101110 => 111010 => 1
101111 => 111110 => 0
110000 => 100010 => 1
110001 => 100110 => 1
110010 => 101100 => 1
110011 => 101110 => 1
110100 => 110010 => 1
110101 => 111010 => 1
110110 => 111100 => 0
110111 => 111110 => 0
111000 => 100110 => 1
111001 => 101110 => 1
111010 => 111010 => 1
111011 => 111110 => 0
111100 => 101110 => 1
111101 => 111110 => 0
111110 => 111110 => 0
111111 => 111111 => 0
0000000 => 0000000 => 0
0000001 => 1000000 => 0
0000010 => 1000000 => 0
0000011 => 1000010 => 1
0000100 => 1000000 => 0
0000101 => 1001000 => 1
0000110 => 1000010 => 1
0000111 => 1000110 => 1
0001000 => 1000000 => 0
0001001 => 1100000 => 0
0001010 => 1001000 => 1
0001011 => 1001100 => 1
0001100 => 1000010 => 1
0001101 => 1010010 => 2
0001110 => 1000110 => 1
0001111 => 1001110 => 1
0010000 => 1000000 => 0
0010001 => 1100000 => 0
0010010 => 1100000 => 0
0010011 => 1100100 => 1
0010100 => 1001000 => 1
0010101 => 1110000 => 0
0010110 => 1001100 => 1
0010111 => 1011010 => 2
0011000 => 1000010 => 1
0011001 => 1100100 => 1
0011010 => 1010010 => 2
0011011 => 1101100 => 1
0011100 => 1000110 => 1
0011101 => 1100110 => 1
0011110 => 1001110 => 1
0011111 => 1011110 => 1
0100000 => 1000000 => 0
0100001 => 1001000 => 1
0100010 => 1100000 => 0
0100011 => 1010010 => 2
0100100 => 1100000 => 0
0100101 => 1110000 => 0
0100110 => 1100100 => 1
0100111 => 1100110 => 1
0101000 => 1001000 => 1
0101001 => 1110000 => 0
0101010 => 1110000 => 0
0101011 => 1111000 => 0
0101100 => 1001100 => 1
0101101 => 1111000 => 0
0101110 => 1011010 => 2
0101111 => 1110110 => 1
0110000 => 1000010 => 1
0110001 => 1001100 => 1
0110010 => 1100100 => 1
0110011 => 1101100 => 1
0110100 => 1010010 => 2
0110101 => 1111000 => 0
0110110 => 1101100 => 1
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0111000 => 1000110 => 1
0111001 => 1011010 => 2
0111010 => 1100110 => 1
0111011 => 1111100 => 0
0111100 => 1001110 => 1
0111101 => 1110110 => 1
0111110 => 1011110 => 1
0111111 => 1111110 => 0
1000000 => 1000000 => 0
1000001 => 1000010 => 1
1000010 => 1001000 => 1
1000011 => 1000110 => 1
1000100 => 1100000 => 0
1000101 => 1001100 => 1
1000110 => 1010010 => 2
1000111 => 1001110 => 1
1001000 => 1100000 => 0
1001001 => 1100100 => 1
1001010 => 1110000 => 0
1001011 => 1011010 => 2
1001100 => 1100100 => 1
1001101 => 1101100 => 1
1001110 => 1100110 => 1
1001111 => 1011110 => 1
1010000 => 1001000 => 1
1010001 => 1010010 => 2
1010010 => 1110000 => 0
1010011 => 1100110 => 1
1010100 => 1110000 => 0
1010101 => 1111000 => 0
1010110 => 1111000 => 0
1010111 => 1110110 => 1
1011000 => 1001100 => 1
1011001 => 1101100 => 1
1011010 => 1111000 => 0
1011011 => 1111100 => 0
1011100 => 1011010 => 2
1011101 => 1111100 => 0
1011110 => 1110110 => 1
1011111 => 1111110 => 0
1100000 => 1000010 => 1
1100001 => 1000110 => 1
1100010 => 1001100 => 1
1100011 => 1001110 => 1
1100100 => 1100100 => 1
1100101 => 1011010 => 2
1100110 => 1101100 => 1
1100111 => 1011110 => 1
1101000 => 1010010 => 2
1101001 => 1100110 => 1
1101010 => 1111000 => 0
1101011 => 1110110 => 1
1101100 => 1101100 => 1
1101101 => 1111100 => 0
1101110 => 1111100 => 0
1101111 => 1111110 => 0
1110000 => 1000110 => 1
1110001 => 1001110 => 1
1110010 => 1011010 => 2
1110011 => 1011110 => 1
1110100 => 1100110 => 1
1110101 => 1110110 => 1
1110110 => 1111100 => 0
1110111 => 1111110 => 0
1111000 => 1001110 => 1
1111001 => 1011110 => 1
1111010 => 1110110 => 1
1111011 => 1111110 => 0
1111100 => 1011110 => 1
1111101 => 1111110 => 0
1111110 => 1111110 => 0
1111111 => 1111111 => 0
00000000 => 00000000 => 0
00000001 => 10000000 => 0
00000010 => 10000000 => 0
00000011 => 10000010 => 1
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00000110 => 10000010 => 1
00000111 => 10000110 => 1
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00001011 => 10001100 => 1
00001100 => 10000010 => 1
00001101 => 10010010 => 2
00001110 => 10000110 => 1
00001111 => 10001110 => 1
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00010011 => 10100100 => 2
00010100 => 10001000 => 1
00010101 => 10110000 => 1
00010110 => 10001100 => 1
00010111 => 10011010 => 2
00011000 => 10000010 => 1
00011001 => 11000010 => 1
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00011100 => 10000110 => 1
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00011110 => 10001110 => 1
00011111 => 10011110 => 1
00100000 => 10000000 => 0
00100001 => 10100000 => 1
00100010 => 11000000 => 0
00100011 => 11000010 => 1
00100100 => 10100000 => 1
00100101 => 11100000 => 0
00100110 => 10100100 => 2
00100111 => 11001010 => 2
00101000 => 10001000 => 1
00101001 => 11100000 => 0
00101010 => 10110000 => 1
00101011 => 10111000 => 1
00101100 => 10001100 => 1
00101101 => 11010100 => 2
00101110 => 10011010 => 2
00101111 => 10110110 => 2
00110000 => 10000010 => 1
00110001 => 10100100 => 2
00110010 => 11000010 => 1
00110011 => 11001100 => 1
00110100 => 10010010 => 2
00110101 => 11100010 => 1
00110110 => 10101100 => 2
00110111 => 10111100 => 1
00111000 => 10000110 => 1
00111001 => 11001010 => 2
00111010 => 10100110 => 2
00111011 => 11011010 => 2
00111100 => 10001110 => 1
00111101 => 11001110 => 1
00111110 => 10011110 => 1
00111111 => 10111110 => 1
01000000 => 10000000 => 0
01000001 => 10001000 => 1
01000010 => 10100000 => 1
01000011 => 10010010 => 2
01000100 => 11000000 => 0
01000101 => 10110000 => 1
01000110 => 11000010 => 1
01000111 => 10100110 => 2
01001000 => 10100000 => 1
01001001 => 11100000 => 0
01001010 => 11100000 => 0
01001011 => 11010100 => 2
01001100 => 10100100 => 2
01001101 => 11100010 => 1
01001110 => 11001010 => 2
01001111 => 11001110 => 1
01010000 => 10001000 => 1
01010001 => 10110000 => 1
01010010 => 11100000 => 0
01010011 => 11100010 => 1
01010100 => 10110000 => 1
01010101 => 11110000 => 0
01010110 => 10111000 => 1
01010111 => 11110010 => 1
01011000 => 10001100 => 1
01011001 => 10111000 => 1
01011010 => 11010100 => 2
01011011 => 11111000 => 0
01011100 => 10011010 => 2
01011101 => 11110010 => 1
01011110 => 10110110 => 2
01011111 => 11101110 => 1
01100000 => 10000010 => 1
01100001 => 10001100 => 1
01100010 => 10100100 => 2
01100011 => 10101100 => 2
01100100 => 11000010 => 1
01100101 => 10111000 => 1
01100110 => 11001100 => 1
01100111 => 11011010 => 2
01101000 => 10010010 => 2
01101001 => 11010100 => 2
01101010 => 11100010 => 1
01101011 => 11111000 => 0
01101100 => 10101100 => 2
01101101 => 11111000 => 0
01101110 => 10111100 => 1
01101111 => 11111010 => 1
01110000 => 10000110 => 1
01110001 => 10011010 => 2
01110010 => 11001010 => 2
01110011 => 10111100 => 1
01110100 => 10100110 => 2
01110101 => 11110010 => 1
01110110 => 11011010 => 2
01110111 => 11111100 => 0
01111000 => 10001110 => 1
01111001 => 10110110 => 2
01111010 => 11001110 => 1
01111011 => 11111010 => 1
01111100 => 10011110 => 1
01111101 => 11101110 => 1
01111110 => 10111110 => 1
01111111 => 11111110 => 0
10000000 => 10000000 => 0
10000001 => 10000010 => 1
10000010 => 10001000 => 1
10000011 => 10000110 => 1
10000100 => 10100000 => 1
10000101 => 10001100 => 1
10000110 => 10010010 => 2
10000111 => 10001110 => 1
10001000 => 11000000 => 0
10001001 => 10100100 => 2
10001010 => 10110000 => 1
10001011 => 10011010 => 2
10001100 => 11000010 => 1
10001101 => 10101100 => 2
10001110 => 10100110 => 2
10001111 => 10011110 => 1
10010000 => 10100000 => 1
10010001 => 11000010 => 1
10010010 => 11100000 => 0
10010011 => 11001010 => 2
10010100 => 11100000 => 0
10010101 => 10111000 => 1
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10010111 => 10110110 => 2
10011000 => 10100100 => 2
10011001 => 11001100 => 1
10011010 => 11100010 => 1
10011011 => 10111100 => 1
10011100 => 11001010 => 2
10011101 => 11011010 => 2
10011110 => 11001110 => 1
10011111 => 10111110 => 1
10100000 => 10001000 => 1
10100001 => 10010010 => 2
10100010 => 10110000 => 1
10100011 => 10100110 => 2
10100100 => 11100000 => 0
10100101 => 11010100 => 2
10100110 => 11100010 => 1
10100111 => 11001110 => 1
10101000 => 10110000 => 1
10101001 => 11100010 => 1
10101010 => 11110000 => 0
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10101110 => 11110010 => 1
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10110000 => 10001100 => 1
10110001 => 10101100 => 2
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10110100 => 11010100 => 2
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11110000 => 10001110 => 1
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11110010 => 10110110 => 2
11110011 => 10111110 => 1
11110100 => 11001110 => 1
11110101 => 11101110 => 1
11110110 => 11111010 => 1
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11111000 => 10011110 => 1
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11111111 => 11111111 => 0
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000000001 => 100000000 => 0
000000010 => 100000000 => 0
000000011 => 100000010 => 1
000000100 => 100000000 => 0
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000001001 => 100100000 => 1
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000001100 => 100000010 => 1
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000101000 => 100001000 => 1
000101001 => 110010000 => 1
000101010 => 100110000 => 1
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000110111 => 100111100 => 1
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100000000 => 100000000 => 0
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100011011 => 100111100 => 1
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100011101 => 101011010 => 3
100011110 => 101001110 => 2
100011111 => 100111110 => 1
100100000 => 100100000 => 1
100100001 => 101000010 => 2
100100010 => 110010000 => 1
100100011 => 110000110 => 1
100100100 => 111000000 => 0
100100101 => 110011000 => 1
100100110 => 111000010 => 1
100100111 => 110010110 => 2
100101000 => 101100000 => 1
100101001 => 111001000 => 1
100101010 => 111100000 => 0
100101011 => 101110010 => 2
100101100 => 110011000 => 1
100101101 => 101111000 => 1
100101110 => 110101010 => 3
100101111 => 101101110 => 2
100110000 => 100100100 => 2
100110001 => 110001100 => 1
100110010 => 111001000 => 1
100110011 => 110011100 => 1
100110100 => 111000010 => 1
100110101 => 111011000 => 1
100110110 => 111001100 => 1
100110111 => 101111010 => 2
100111000 => 101001010 => 3
100111001 => 110011100 => 1
100111010 => 111000110 => 1
100111011 => 110111100 => 1
100111100 => 110010110 => 2
100111101 => 110110110 => 2
100111110 => 110011110 => 1
100111111 => 101111110 => 1
101000000 => 100001000 => 1
101000001 => 100010010 => 2
101000010 => 100110000 => 1
101000011 => 100100110 => 2
101000100 => 101100000 => 1
101000101 => 101010100 => 3
101000110 => 101100010 => 2
101000111 => 101001110 => 2
101001000 => 110010000 => 1
101001001 => 111000010 => 1
101001010 => 111100000 => 0
101001011 => 110101010 => 3
101001100 => 111001000 => 1
101001101 => 111001100 => 1
101001110 => 111000110 => 1
101001111 => 110011110 => 1
101010000 => 100110000 => 1
101010001 => 101100010 => 2
101010010 => 111100000 => 0
101010011 => 111000110 => 1
101010100 => 111100000 => 0
101010101 => 111110000 => 0
101010110 => 111110000 => 0
101010111 => 111100110 => 1
101011000 => 100111000 => 1
101011001 => 111011000 => 1
101011010 => 111110000 => 0
101011011 => 111101100 => 1
101011100 => 101110010 => 2
101011101 => 111110010 => 1
101011110 => 111100110 => 1
101011111 => 111011110 => 1
101100000 => 100001100 => 1
101100001 => 100101100 => 2
101100010 => 100111000 => 1
101100011 => 101011010 => 3
101100100 => 110011000 => 1
101100101 => 101111000 => 1
101100110 => 111011000 => 1
101100111 => 110110110 => 2
101101000 => 101010100 => 3
101101001 => 111001100 => 1
101101010 => 111110000 => 0
101101011 => 111110010 => 1
101101100 => 101111000 => 1
101101101 => 111111000 => 0
101101110 => 111101100 => 1
101101111 => 111110110 => 1
101110000 => 100011010 => 2
101110001 => 100111100 => 1
101110010 => 101110010 => 2
101110011 => 110111100 => 1
101110100 => 110101010 => 3
101110101 => 111101100 => 1
101110110 => 111110010 => 1
101110111 => 111111100 => 0
101111000 => 100110110 => 2
101111001 => 101111010 => 2
101111010 => 111100110 => 1
101111011 => 111111100 => 0
101111100 => 101101110 => 2
101111101 => 111110110 => 1
101111110 => 111011110 => 1
101111111 => 111111110 => 0
110000000 => 100000010 => 1
110000001 => 100000110 => 1
110000010 => 100001100 => 1
110000011 => 100001110 => 1
110000100 => 100100100 => 2
110000101 => 100011010 => 2
110000110 => 100101100 => 2
110000111 => 100011110 => 1
110001000 => 110000100 => 1
110001001 => 101001010 => 3
110001010 => 100111000 => 1
110001011 => 100110110 => 2
110001100 => 110001100 => 1
110001101 => 100111100 => 1
110001110 => 101011010 => 3
110001111 => 100111110 => 1
110010000 => 101000010 => 2
110010001 => 110000110 => 1
110010010 => 110011000 => 1
110010011 => 110010110 => 2
110010100 => 111001000 => 1
110010101 => 101110010 => 2
110010110 => 101111000 => 1
110010111 => 101101110 => 2
110011000 => 110001100 => 1
110011001 => 110011100 => 1
110011010 => 111011000 => 1
110011011 => 101111010 => 2
110011100 => 110011100 => 1
110011101 => 110111100 => 1
110011110 => 110110110 => 2
110011111 => 101111110 => 1
110100000 => 100010010 => 2
110100001 => 100100110 => 2
110100010 => 101010100 => 3
110100011 => 101001110 => 2
110100100 => 111000010 => 1
110100101 => 110101010 => 3
110100110 => 111001100 => 1
110100111 => 110011110 => 1
110101000 => 101100010 => 2
110101001 => 111000110 => 1
110101010 => 111110000 => 0
110101011 => 111100110 => 1
110101100 => 111011000 => 1
110101101 => 111101100 => 1
110101110 => 111110010 => 1
110101111 => 111011110 => 1
110110000 => 100101100 => 2
110110001 => 101011010 => 3
110110010 => 101111000 => 1
110110011 => 110110110 => 2
110110100 => 111001100 => 1
110110101 => 111110010 => 1
110110110 => 111111000 => 0
110110111 => 111110110 => 1
110111000 => 100111100 => 1
110111001 => 110111100 => 1
110111010 => 111101100 => 1
110111011 => 111111100 => 0
110111100 => 101111010 => 2
110111101 => 111111100 => 0
110111110 => 111110110 => 1
110111111 => 111111110 => 0
111000000 => 100000110 => 1
111000001 => 100001110 => 1
111000010 => 100011010 => 2
111000011 => 100011110 => 1
111000100 => 101001010 => 3
111000101 => 100110110 => 2
111000110 => 100111100 => 1
111000111 => 100111110 => 1
111001000 => 110000110 => 1
111001001 => 110010110 => 2
111001010 => 101110010 => 2
111001011 => 101101110 => 2
111001100 => 110011100 => 1
111001101 => 101111010 => 2
111001110 => 110111100 => 1
111001111 => 101111110 => 1
111010000 => 100100110 => 2
111010001 => 101001110 => 2
111010010 => 110101010 => 3
111010011 => 110011110 => 1
111010100 => 111000110 => 1
111010101 => 111100110 => 1
111010110 => 111101100 => 1
111010111 => 111011110 => 1
111011000 => 101011010 => 3
111011001 => 110110110 => 2
111011010 => 111110010 => 1
111011011 => 111110110 => 1
111011100 => 110111100 => 1
111011101 => 111111100 => 0
111011110 => 111111100 => 0
111011111 => 111111110 => 0
111100000 => 100001110 => 1
111100001 => 100011110 => 1
111100010 => 100110110 => 2
111100011 => 100111110 => 1
111100100 => 110010110 => 2
111100101 => 101101110 => 2
111100110 => 101111010 => 2
111100111 => 101111110 => 1
111101000 => 101001110 => 2
111101001 => 110011110 => 1
111101010 => 111100110 => 1
111101011 => 111011110 => 1
111101100 => 110110110 => 2
111101101 => 111110110 => 1
111101110 => 111111100 => 0
111101111 => 111111110 => 0
111110000 => 100011110 => 1
111110001 => 100111110 => 1
111110010 => 101101110 => 2
111110011 => 101111110 => 1
111110100 => 110011110 => 1
111110101 => 111011110 => 1
111110110 => 111110110 => 1
111110111 => 111111110 => 0
111111000 => 100111110 => 1
111111001 => 101111110 => 1
111111010 => 111011110 => 1
111111011 => 111111110 => 0
111111100 => 101111110 => 1
111111101 => 111111110 => 0
111111110 => 111111110 => 0
111111111 => 111111111 => 0
1010101010 => 1111100000 => 0
1010101100 => 1011110000 => 1
1010110010 => 1011110000 => 1
1010110100 => 1101101000 => 2
1011001010 => 1011110000 => 1
1011001100 => 1100111000 => 1
1011010010 => 1101101000 => 2
1011010100 => 1110100100 => 2
1011011000 => 1001111000 => 1
1011100100 => 1100110010 => 2
1011101000 => 1010101010 => 4
1011110000 => 1000110110 => 2
1100101010 => 1011110000 => 1
1100101100 => 1100111000 => 1
1100110010 => 1100111000 => 1
1100110100 => 1110001100 => 1
1101001010 => 1101101000 => 2
1101001100 => 1110001100 => 1
1101010010 => 1110100100 => 2
1101010100 => 1111000010 => 1
1101011000 => 1011011000 => 2
1101100010 => 1001111000 => 1
1101100100 => 1101010100 => 3
1101101000 => 1011001100 => 2
1101110000 => 1000111100 => 1
1110010010 => 1100110010 => 2
1110010100 => 1110010010 => 2
1110100010 => 1010101010 => 4
1110110000 => 1001011010 => 3
1111000010 => 1000110110 => 2
1111000100 => 1010010110 => 3
1111010000 => 1001001110 => 2
1111100000 => 1000011110 => 1
101010101010 => 111111000000 => 0
101010101100 => 101111100000 => 1
101010110010 => 101111100000 => 1
101010110100 => 110111010000 => 2
101011001010 => 101111100000 => 1
101011001100 => 110101110000 => 2
101011010010 => 110111010000 => 2
101011010100 => 111011001000 => 2
101011011000 => 100111101000 => 2
101011100100 => 110011100010 => 2
101011101000 => 101011010010 => 4
101100101010 => 101111100000 => 1
101100101100 => 110011110000 => 1
101100110010 => 110101110000 => 2
101100110100 => 111010011000 => 2
101100111000 => 101010110100 => 4
101101001010 => 110111010000 => 2
101101001100 => 111001101000 => 2
101101010010 => 111011001000 => 2
101101010100 => 111101000100 => 2
101101011000 => 101011110000 => 2
101101100010 => 100111101000 => 2
101101100100 => 110011101000 => 2
101101101000 => 101011011000 => 3
101101110000 => 100011101100 => 2
101110010010 => 110011100010 => 2
101110010100 => 111001100010 => 2
101110100010 => 101011010010 => 4
101110100100 => 111001001010 => 3
101110101000 => 101101001010 => 4
110010101010 => 101111100000 => 1
110010101100 => 110101110000 => 2
110010110010 => 110011110000 => 1
110010110100 => 111001101000 => 2
110011001010 => 110101110000 => 2
110011001100 => 111000111000 => 1
110011010010 => 111010011000 => 2
110011010100 => 111100010100 => 2
110011011000 => 101100111000 => 2
110011100010 => 101010110100 => 4
110011100100 => 111000101100 => 2
110100101010 => 110111010000 => 2
110100101100 => 111010011000 => 2
110100110010 => 111001101000 => 2
110100110100 => 111100001100 => 1
110100111000 => 101100101100 => 3
110101001010 => 111011001000 => 2
110101001100 => 111100010100 => 2
110101010010 => 111101000100 => 2
110101010100 => 111110000010 => 1
110101011000 => 101110110000 => 2
110101100010 => 101011110000 => 2
110101100100 => 110110101000 => 3
110101101000 => 101110011000 => 2
110101110000 => 100101110100 => 3
110110001010 => 100111101000 => 2
110110001100 => 101100111000 => 2
110110010010 => 110011101000 => 2
110110010100 => 111010100100 => 3
110110011000 => 110010111000 => 2
110110100010 => 101011011000 => 3
110110100100 => 111010001100 => 2
110110101000 => 101110001100 => 2
110111000010 => 100011101100 => 2
111000101100 => 101010110100 => 4
111000110100 => 101100101100 => 3
111001001010 => 110011100010 => 2
111001001100 => 111000101100 => 2
111001010010 => 111001100010 => 2
111001010100 => 111100100010 => 2
111001011000 => 110010110010 => 3
111001100100 => 111000110010 => 2
111010001010 => 101011010010 => 4
111010010010 => 111001001010 => 3
111010010100 => 111100001010 => 2
111010011000 => 110100101010 => 4
111010100010 => 101101001010 => 4
111011000100 => 101010101010 => 5
1111111110 => 1111111110 => 0
1111111001 => 1011111110 => 1
1111101011 => 1110111110 => 1
1111100111 => 1011111110 => 1
1111100001 => 1000111110 => 1
1110011111 => 1011111110 => 1
1110000111 => 1000111110 => 1
1110000001 => 1000001110 => 1
1101011111 => 1110111110 => 1
1101000011 => 1001001110 => 2
1100001011 => 1000110110 => 2
1011111110 => 1110111110 => 1
1001111111 => 1011111110 => 1
1000101110 => 1010101010 => 4
1000011111 => 1000111110 => 1
1000011110 => 1001001110 => 2
1000000111 => 1000001110 => 1
1000000001 => 1000000010 => 1
1000000000 => 1000000000 => 0
10000000000 => 10000000000 => 0
11111111110 => 11111111110 => 0
0111111111 => 1111111110 => 0
0111111101 => 1110111110 => 1
0111100001 => 1000110110 => 2
0000000001 => 1000000000 => 0
01111111111 => 11111111110 => 0
0111010001 => 1010101010 => 4
00000000001 => 10000000000 => 0
0101010101 => 1111100000 => 0
0101010011 => 1111000010 => 1
0101001101 => 1111000010 => 1
0101001011 => 1110100100 => 2
0100110101 => 1111000010 => 1
0100110011 => 1110001100 => 1
0100101101 => 1110100100 => 2
0100101011 => 1101101000 => 2
0100011011 => 1011001100 => 2
0100010111 => 1010101010 => 4
0100001111 => 1001001110 => 2
0011010101 => 1111000010 => 1
0011010011 => 1110001100 => 1
0011001101 => 1110001100 => 1
0011001011 => 1100111000 => 1
0010110101 => 1110100100 => 2
0010110011 => 1100111000 => 1
0010101101 => 1101101000 => 2
0010101011 => 1011110000 => 1
0010100111 => 1110010010 => 2
0010011011 => 1101010100 => 3
0010010111 => 1100110010 => 2
0001101101 => 1011001100 => 2
0001101011 => 1011011000 => 2
0001011101 => 1010101010 => 4
0001011011 => 1001111000 => 1
0001001111 => 1010010110 => 3
0000111101 => 1001001110 => 2
0000111011 => 1001011010 => 3
0000110111 => 1000111100 => 1
0000101111 => 1000110110 => 2
0000011111 => 1000011110 => 1
010101010101 => 111111000000 => 0
010101010011 => 111110000010 => 1
010101001101 => 111110000010 => 1
010101001011 => 111101000100 => 2
010100110101 => 111110000010 => 1
010100110011 => 111100010100 => 2
010100101101 => 111101000100 => 2
010100101011 => 111011001000 => 2
010100011011 => 101110001100 => 2
010100010111 => 101101001010 => 4
010011010101 => 111110000010 => 1
010011010011 => 111100001100 => 1
010011001101 => 111100010100 => 2
010011001011 => 111001101000 => 2
010011000111 => 110100101010 => 4
010010110101 => 111101000100 => 2
010010110011 => 111010011000 => 2
010010101101 => 111011001000 => 2
010010101011 => 110111010000 => 2
010010100111 => 111100001010 => 2
010010011011 => 111010001100 => 2
010010010111 => 111001001010 => 3
010001101101 => 101110001100 => 2
010001101011 => 101110011000 => 2
010001011101 => 101101001010 => 4
010001011011 => 101011011000 => 3
010001010111 => 101011010010 => 4
001101010101 => 111110000010 => 1
001101010011 => 111100010100 => 2
001101001101 => 111100001100 => 1
001101001011 => 111010011000 => 2
001100110101 => 111100010100 => 2
001100110011 => 111000111000 => 1
001100101101 => 111001101000 => 2
001100101011 => 110101110000 => 2
001100100111 => 111000110010 => 2
001100011101 => 110100101010 => 4
001100011011 => 110010111000 => 2
001011010101 => 111101000100 => 2
001011010011 => 111001101000 => 2
001011001101 => 111010011000 => 2
001011001011 => 110011110000 => 1
001011000111 => 110010110010 => 3
001010110101 => 111011001000 => 2
001010110011 => 110101110000 => 2
001010101101 => 110111010000 => 2
001010101011 => 101111100000 => 1
001010100111 => 111100100010 => 2
001010011101 => 111100001010 => 2
001010011011 => 111010100100 => 3
001010010111 => 111001100010 => 2
001001110011 => 111000110010 => 2
001001101101 => 111010001100 => 2
001001101011 => 110110101000 => 3
001001100111 => 111000101100 => 2
001001011101 => 111001001010 => 3
001001011011 => 110011101000 => 2
001001010111 => 110011100010 => 2
000111010011 => 110100101010 => 4
000111001011 => 110010110010 => 3
000110110101 => 101110001100 => 2
000110110011 => 110010111000 => 2
000110101101 => 101110011000 => 2
000110101011 => 101110110000 => 2
000110100111 => 101100101100 => 3
000110011011 => 101100111000 => 2
000101110101 => 101101001010 => 4
000101101101 => 101011011000 => 3
000101101011 => 101011110000 => 2
000101100111 => 101010110100 => 4
000101011101 => 101011010010 => 4
000101011011 => 100111101000 => 2
000100111011 => 101010101010 => 5
000011010111 => 100101110100 => 3
000010110111 => 100011101100 => 2
100110011001 => 111000111000 => 1
100110001101 => 110010111000 => 2
100110110001 => 101100111000 => 2
100110100101 => 111010011000 => 2
100011011001 => 110010111000 => 2
100011001101 => 101100111000 => 2
100011100101 => 110010110010 => 3
100010011101 => 101010101010 => 5
100010110101 => 101011110000 => 2
101100011001 => 101100111000 => 2
101100110001 => 110010111000 => 2
101100100101 => 110011101000 => 2
101110000101 => 100011101100 => 2
101001011001 => 111010011000 => 2
101001001101 => 111010001100 => 2
101001110001 => 101100101100 => 3
101001100101 => 111001101000 => 2
101000110101 => 101110011000 => 2
101011010001 => 101110011000 => 2
101011000101 => 101011110000 => 2
101010010101 => 111011001000 => 2
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Generating function
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Sequences for the coefficients of a few of the
first generating functions, in the case at hand:
12,4 22,10 22,42 44,70,14 44,140,72 62,288,126,36
F1=2
F2=4
F3=8
F4=12+4 q
F5=22+10 q
F6=22+42 q
F7=44+70 q+14 q2
F8=44+140 q+72 q2
F9=62+288 q+126 q2+36 q3
Description
The number of ascents of a binary word.
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Burrows-Wheeler
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.
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