Identifier
Values
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101001101=>101100101=>35 101001110=>011100101=>31 101001111=>111100101=>47 101010000=>000010101=>5 101010001=>100010101=>23 101010010=>010010101=>18 101010011=>110010101=>35 101010100=>001010101=>14 101010101=>101010101=>30 101010110=>011010101=>26 101010111=>111010101=>41 101011000=>000110101=>11 101011001=>100110101=>26 101011010=>010110101=>22 101011011=>110110101=>36 101011100=>001110101=>19 101011101=>101110101=>32 101011110=>011110101=>29 101011111=>111110101=>41 101100000=>000001101=>3 101100001=>100001101=>20 101100010=>010001101=>15 101100011=>110001101=>31 101100100=>001001101=>11 101100101=>101001101=>26 101100110=>011001101=>22 101100111=>111001101=>36 101101000=>000101101=>8 101101001=>100101101=>22 101101010=>010101101=>18 101101011=>110101101=>31 101101100=>001101101=>15 101101101=>101101101=>27 101101110=>011101101=>24 101101111=>111101101=>35 101110000=>000011101=>6 101110001=>100011101=>19 101110010=>010011101=>15 101110011=>110011101=>27 101110100=>001011101=>12 101110101=>101011101=>23 101110110=>011011101=>20 101110111=>111011101=>30 101111000=>000111101=>10 101111001=>100111101=>20 101111010=>010111101=>17 101111011=>110111101=>26 101111100=>001111101=>15 101111101=>101111101=>23 101111110=>011111101=>21 101111111=>111111101=>28 110000000=>000000011=>0 110000001=>100000011=>21 110000010=>010000011=>15 110000011=>110000011=>35 110000100=>001000011=>10 110000101=>101000011=>29 110000110=>011000011=>24 110000111=>111000011=>42 110001000=>000100011=>6 110001001=>100100011=>24 110001010=>010100011=>19 110001011=>110100011=>36 110001100=>001100011=>15 110001101=>101100011=>31 110001110=>011100011=>27 110001111=>111100011=>42 110010000=>000010011=>3 110010001=>100010011=>20 110010010=>010010011=>15 110010011=>110010011=>31 110010100=>001010011=>11 110010101=>101010011=>26 110010110=>011010011=>22 110010111=>111010011=>36 110011000=>000110011=>8 110011001=>100110011=>22 110011010=>010110011=>18 110011011=>110110011=>31 110011100=>001110011=>15 110011101=>101110011=>27 110011110=>011110011=>24 110011111=>111110011=>35 110100000=>000001011=>1 110100001=>100001011=>17 110100010=>010001011=>12 110100011=>110001011=>27 110100100=>001001011=>8 110100101=>101001011=>22 110100110=>011001011=>18 110100111=>111001011=>31 110101000=>000101011=>5 110101001=>100101011=>18 110101010=>010101011=>14 110101011=>110101011=>26 110101100=>001101011=>11 110101101=>101101011=>22 110101110=>011101011=>19 110101111=>111101011=>29 110110000=>000011011=>3 110110001=>100011011=>15 110110010=>010011011=>11 110110011=>110011011=>22 110110100=>001011011=>8 110110101=>101011011=>18 110110110=>011011011=>15 110110111=>111011011=>24 110111000=>000111011=>6 110111001=>100111011=>15 110111010=>010111011=>12 110111011=>110111011=>20 110111100=>001111011=>10 110111101=>101111011=>17 110111110=>011111011=>15 110111111=>111111011=>21 111000000=>000000111=>0 111000001=>100000111=>15 111000010=>010000111=>10 111000011=>110000111=>24 111000100=>001000111=>6 111000101=>101000111=>19 111000110=>011000111=>15 111000111=>111000111=>27 111001000=>000100111=>3 111001001=>100100111=>15 111001010=>010100111=>11 111001011=>110100111=>22 111001100=>001100111=>8 111001101=>101100111=>18 111001110=>011100111=>15 111001111=>111100111=>24 111010000=>000010111=>1 111010001=>100010111=>12 111010010=>010010111=>8 111010011=>110010111=>18 111010100=>001010111=>5 111010101=>101010111=>14 111010110=>011010111=>11 111010111=>111010111=>19 111011000=>000110111=>3 111011001=>100110111=>11 111011010=>010110111=>8 111011011=>110110111=>15 111011100=>001110111=>6 111011101=>101110111=>12 111011110=>011110111=>10 111011111=>111110111=>15 111100000=>000001111=>0 111100001=>100001111=>10 111100010=>010001111=>6 111100011=>110001111=>15 111100100=>001001111=>3 111100101=>101001111=>11 111100110=>011001111=>8 111100111=>111001111=>15 111101000=>000101111=>1 111101001=>100101111=>8 111101010=>010101111=>5 111101011=>110101111=>11 111101100=>001101111=>3 111101101=>101101111=>8 111101110=>011101111=>6 111101111=>111101111=>10 111110000=>000011111=>0 111110001=>100011111=>6 111110010=>010011111=>3 111110011=>110011111=>8 111110100=>001011111=>1 111110101=>101011111=>5 111110110=>011011111=>3 111110111=>111011111=>6 111111000=>000111111=>0 111111001=>100111111=>3 111111010=>010111111=>1 111111011=>110111111=>3 111111100=>001111111=>0 111111101=>101111111=>1 111111110=>011111111=>0 111111111=>111111111=>0 1010111000=>0001110101=>19 1011010100=>0010101101=>18 1011011000=>0001101101=>15 1011100100=>0010011101=>15 1011101000=>0001011101=>12 1011110000=>0000111101=>10 1100111000=>0001110011=>15 1101010100=>0010101011=>14 1101011000=>0001101011=>11 1101100100=>0010011011=>11 1101101000=>0001011011=>8 1101110000=>0000111011=>6 1110010100=>0010100111=>11 1110011000=>0001100111=>8 1110100100=>0010010111=>8 1110101000=>0001010111=>5 1110110000=>0000110111=>3 1111000100=>0010001111=>6 1111001000=>0001001111=>3 1111010000=>0000101111=>1 1111100000=>0000011111=>0 1111111000=>0001111111=>0 1111110000=>0000111111=>0 1111101000=>0001011111=>1 1111100100=>0010011111=>3 1111011000=>0001101111=>3 1111010100=>0010101111=>5 1111000000=>0000001111=>0 1110111000=>0001110111=>6 1110100000=>0000010111=>1 1110010000=>0000100111=>3 1110001000=>0001000111=>6 1110000100=>0010000111=>10 1110000000=>0000000111=>0 1101111000=>0001111011=>10 1101100000=>0000011011=>3 1101010000=>0000101011=>5 1101001000=>0001001011=>8 1101000100=>0010001011=>12 1101000000=>0000001011=>1 1100110000=>0000110011=>8 1100101000=>0001010011=>11 1100100100=>0010010011=>15 1100100000=>0000010011=>3 1100011000=>0001100011=>15 1100010100=>0010100011=>19 1100010000=>0000100011=>6 1100001000=>0001000011=>10 1100000100=>0010000011=>15 1100000000=>0000000011=>0 1011111000=>0001111101=>15 1011100000=>0000011101=>6 1011010000=>0000101101=>8 1011001000=>0001001101=>11 1011000100=>0010001101=>15 1011000000=>0000001101=>3 1010110000=>0000110101=>11 1010101000=>0001010101=>14 1010100100=>0010010101=>18 1010100000=>0000010101=>5 1010011000=>0001100101=>18 1010010100=>0010100101=>22 1010010000=>0000100101=>8 1010001000=>0001000101=>12 1010000100=>0010000101=>17 1010000000=>0000000101=>1 1001111000=>0001111001=>24 1001110000=>0000111001=>15 1001101000=>0001011001=>18 1001100100=>0010011001=>22 1001100000=>0000011001=>8 1001011000=>0001101001=>22 1001010100=>0010101001=>26 1001010000=>0000101001=>11 1001001000=>0001001001=>15 1001000100=>0010001001=>20 1001000000=>0000001001=>3 1000111000=>0001110001=>27 1000110100=>0010110001=>31 1000110000=>0000110001=>15 1000101000=>0001010001=>19 1000100100=>0010010001=>24 1000100000=>0000010001=>6 1000011000=>0001100001=>24 1000010100=>0010100001=>29 1000010000=>0000100001=>10 1000001000=>0001000001=>15 1000000100=>0010000001=>21 1000000000=>0000000001=>0 0000000000=>0000000000=>0 0000011000=>0001100000=>35 0001100000=>0000011000=>15 0001111000=>0001111000=>42 0001001000=>0001001000=>24 0110000000=>0000000110=>3 0110011000=>0001100110=>22 0111100000=>0000011110=>10 0111111000=>0001111110=>21 0111001000=>0001001110=>15 0100100000=>0000010010=>8 0100111000=>0001110010=>31 0100001000=>0001000010=>17 0101101000=>0001011010=>22 0010101000=>0001010100=>26 0010100100=>0010010100=>31 0010010100=>0010100100=>36 0011010100=>0010101100=>35 0001010100=>0010101000=>41 0101010100=>0010101010=>30 0010100000=>0000010100=>11 0010000100=>0010000100=>26 0000010100=>0010100000=>41 0111010100=>0010101110=>23 0000000100=>0010000000=>28 0010111000=>0001110100=>36 0011011000=>0001101100=>31 0011100100=>0010011100=>31 0011101000=>0001011100=>27 0011110000=>0000111100=>24 0101011000=>0001101010=>26 0101100100=>0010011010=>26 0101110000=>0000111010=>19 0110010100=>0010100110=>26 0110100100=>0010010110=>22 0110101000=>0001010110=>18 0110110000=>0000110110=>15 0111000100=>0010001110=>19 0111010000=>0000101110=>12 0100000000=>0000000010=>1 0101111000=>0001111010=>29 0110111000=>0001110110=>24 0111011000=>0001101110=>20 0111100100=>0010011110=>20 0111101000=>0001011110=>17 0111110000=>0000111110=>15 0100000100=>0010000010=>23 0011111000=>0001111100=>35 0000110100=>0010110000=>47 0101000000=>0000001010=>5 0001010000=>0000101000=>19 0100010000=>0000100010=>12 0001000100=>0010001000=>30 0111000000=>0000001110=>6 0010000000=>0000000100=>3 0110100000=>0000010110=>8 0000100100=>0010010000=>35 0011000000=>0000001100=>8 0010110000=>0000110100=>22 0000001000=>0001000000=>21 0000101000=>0001010000=>29 0010001000=>0001000100=>20 0011000100=>0010001100=>27 0001100100=>0010011000=>36 0101001000=>0001001010=>18 0101010000=>0000101010=>14 0010010000=>0000100100=>15 0100101000=>0001010010=>22 0001000000=>0000001000=>6 0100011000=>0001100010=>27 0010011000=>0001100100=>31 0001011000=>0001101000=>36 0000100000=>0000010000=>10 0000110000=>0000110000=>24 0101100000=>0000011010=>11 0000111000=>0001110000=>42 0000010000=>0000100000=>15 0011100000=>0000011100=>15 0101000100=>0010001010=>23 0100010100=>0010100010=>32
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Description
The inversion sum of a binary word.
A pair $a < b$ is an inversion of a binary word $w = w_1 \cdots w_n$ if $w_a = 1 > 0 = w_b$. The inversion sum is given by $\sum(b-a)$ over all inversions of $\pi$.
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reverse
Description
Return the reversal of a binary word.