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KMP算法

Knuth–Morris–Pratt algorithm

克努斯-莫里斯-普拉特 算法

algorithm kmp_search:
    input:
        an array of characters, S (the text to be searched)
        an array of characters, W (the word sought)
    output:
        an array of integers, P (positions in S at which W is found)
        an integer, nP (number of positions)

    define variables:
        an integer, j ← 0 (the position of the current character in S)
        an integer, k ← 0 (the position of the current character in W)
        an array of integers, T (the table, computed elsewhere)

    let nP ← 0

    while j < length(S) do
        if W[k] = S[j] then
            let j ← j + 1
            let k ← k + 1
            if k = length(W) then
                (occurrence found, if only first occurrence is needed, m ← j - k  may be returned here)
                let P[nP] ← j - k, nP ← nP + 1
                let k ← T[k] (T[length(W)] can't be -1)
        else
            let k ← T[k]
            if k < 0 then
                let j ← j + 1
                let k ← k + 1

字符串查找算法

https://en.wikipedia.org/wiki/Knuth–Morris–Pratt_algorithm

https://zh.wikipedia.org/wiki/克努斯-莫里斯-普拉特算法

demo

https://www.nowcoder.com/question/next?pid=16778547&qid=369906&tid=36647493

https://www.nowcoder.com/questionTerminal/8f9ffcde7f644fd2ad093b6919b0c99d

refs

部分匹配表

"前缀"指除了最后一个字符以外,一个字符串的全部头部组合;

"后缀"指除了第一个字符以外,一个字符串的全部尾部组合;

"部分匹配值"就是"前缀"和"后缀"的最长的共有元素的长度。以"ABCDABD"为例,

  - "A"的前缀和后缀都为空集,共有元素的长度为0;

  - "AB"的前缀为[A],后缀为[B],共有元素的长度为0;

  - "ABC"的前缀为[A, AB],后缀为[BC, C],共有元素的长度0;

  - "ABCD"的前缀为[A, AB, ABC],后缀为[BCD, CD, D],共有元素的长度为0;

  - "ABCDA"的前缀为[A, AB, ABC, ABCD],后缀为[BCDA, CDA, DA, A],共有元素为"A",长度为1;

  - "ABCDAB"的前缀为[A, AB, ABC, ABCD, ABCDA],后缀为[BCDAB, CDAB, DAB, AB, B],共有元素为"AB",长度为2;

  - "ABCDABD"的前缀为[A, AB, ABC, ABCD, ABCDA, ABCDAB],后缀为[BCDABD, CDABD, DABD, ABD, BD, D],共有元素的长度为0。

http://www.ruanyifeng.com/blog/2013/05/Knuth–Morris–Pratt_algorithm.html

http://jakeboxer.com/blog/2009/12/13/the-knuth-morris-pratt-algorithm-in-my-own-words/



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原文地址:https://www.cnblogs.com/xgqfrms/p/13579576.html