Extended KMP算法 >> NoAlGo博客


扩展KMP算法 » NoAlGo博客
扩展KMP算法:给定一个较长的主字符串S和一个较短的模式串T,用m、n分别表示S和T的长度(即m=|S|,n=|T|),定义extend[i]=S[i..n]与T的最长公共前缀的长度,求extend[i]。
为什么说这是KMP算法的扩展呢?显然,如果在S的某个位置x有extend[x]==n,则可知在S中可以找到T,并且首位置是x,这正是KMP算法要解决的问题。而且,扩展KMP算法能找到S中所有T的匹配,更一般地,可以知道S中以每个字符开始的后缀与T的最大的匹配长度(最长公共前缀长度)。
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