{"id":257,"date":"2024-06-27T22:46:42","date_gmt":"2024-06-27T14:46:42","guid":{"rendered":"http:\/\/www.heartwarming.online:8003\/?p=257"},"modified":"2024-06-27T22:47:16","modified_gmt":"2024-06-27T14:47:16","slug":"kmp","status":"publish","type":"post","link":"https:\/\/blog.heartwarming.online\/index.php\/2024\/06\/27\/kmp\/","title":{"rendered":"KMP"},"content":{"rendered":"\n

\u57fa\u672c\u539f\u7406\uff1a<\/h2>\n\n\n\n

KMP\u7b97\u6cd5\u662f\u6838\u5fc3\u662f\u8fd0\u7528\u53cc\u6307\u9488\u7b97\u6cd5\u548c\u9012\u5f52\u601d\u60f3\u6765\u89e3\u51b3\u5bfb\u627e\u4e00\u76ee\u6807\u94fe\u5728\u6a21\u677f\u94fe\u4e2d\u7684\u8d77\u59cb\u5339\u914d\u4f4d\u7f6e\uff0c\u66b4\u529b\u7b97\u6cd5\u4fbf\u662f\u4e24\u6307\u9488\u5206\u522b\u4ece\u6a21\u677f\u94fe\u548c\u76ee\u6807\u94fe\u7684\u8d77\u70b9\u5f00\u59cb\u5339\u914d\uff0c\u770b\u662f\u5426\u76f8\u540c\uff0c\u5982\u679c\u76f8\u540c\uff0c\u5219\u4e24\u6307\u9488\u540c\u65f6\u5411\u53f3\u8fb9\u79fb\u52a8\uff0c\u518d\u7ee7\u7eed\u6bd4\u8f83\uff0c\u5982\u679c\u9047\u5230\u4e0d\u540c\uff0c\u5219\u6a21\u677f\u94fe\u4e0a\u7684\u6307\u9488\u8981\u56de\u9000\u5230\u7b2c\u4e8c\u4e2a\u5b57\u7b26\u4f4d\u7f6e\uff08\u5373\u770b\u7b2c\u4e8c\u4e2a\u4f4d\u7f6e\u662f\u5426\u80fd\u591f\u4f5c\u4e3a\u8d77\u70b9\u6765\u5339\u914d\u76ee\u6807\u94fe\uff09\uff0c\u800c\u76ee\u6807\u94fe\u4e0a\u7684\u6307\u9488\u5fc5\u987b\u56de\u5230\u8d77\u70b9\uff0c\u5f88\u660e\u663e\uff0c\u8fd9\u79cd\u505a\u6cd5\u65f6\u95f4\u590d\u6742\u5ea6\u5f88\u9ad8\uff0c\u4e3aO(m*n)\uff0c\u800cKMP\u7b97\u6cd5\u5c31\u662f\u4e3a\u4e86\u4f18\u5316\u6734\u7d20\u7b97\u6cd5\uff0c\u5c06\u65f6\u95f4\u590d\u6742\u5ea6\u964d\u4e3aO(n+m),KMP\u7b97\u6cd5\u4e5f\u662f\u5229\u7528\u53cc\u6307\u9488\u7b97\u6cd5\uff0c\u4f46\u662f\u4e0e\u6734\u7d20\u7b97\u6cd5\u4e0d\u540c\u7684\u662f\uff0c\u5b83\u5229\u7528\u4e4b\u524d\u4e0a\u4e00\u6b65\u5df2\u7ecf\u5339\u914d\u597d\u7684\u76ee\u6807\u94fe\u4e0e\u81ea\u8eab\u5f00\u59cb\u5339\u914d\u4e0d\u6210\u529f\u7684\u70b9\u7684\u524d\u9762\u4e00\u6bb5\uff0c\u7136\u540e\u76ee\u6807\u94fe\u4e0a\u7684\u6307\u9488\u53ea\u9700\u56de\u9000\u5230\u4e0e\u4e3b\u94fe\u540e\u9762\u5df2\u7ecf\u5339\u914d\u4e86\u7684\u6700\u957f\u4f4d\u7f6e\u7684\u540e\u4e00\u4e2a\u5b57\u7b26\u5f00\u59cb\uff0c\u800c\u4e3b\u94fe\u4e0a\u7684\u6307\u9488\u4e0d\u9700\u8981\u79fb\u52a8\uff0c\u53ea\u9700\u4e00\u76f4\u5411\u524d\u79fb\u52a8\uff0c\u76ee\u6807\u94fe\u4e0a\u7684\u6307\u9488\u5219\u9700\u8981\u56de\u9000\u548c\u524d\u8fdb\uff0c\u65e2\u7136\u9700\u8981\u627e\u4e3b\u94fe\u4e0a\u4ece\u8d77\u70b9\u5230\u67d0\u4e00\u4f4d\u7f6e\u4e0e\u6a21\u677f\u94fe\u4e0a\u4e0d\u5339\u914d\u4f4d\u7f6e\u5f80\u524d\u7684\u5e76\u4e14\u53ef\u4ee5\u5339\u914d\u7684\u6700\u957f\u4e00\u6bb5\uff0c\u53cd\u6b63\u76ee\u6807\u94fe\u4e0e\u4e0d\u5339\u914d\u94fe\u5b57\u7b26\u524d\u9762\u7684\u4e00\u6bb5\u5df2\u7ecf\u5339\u914d\uff0c\u90a3\u4e48\u4f55\u4e0d\u76f4\u63a5\u770b\u76ee\u6807\u94fe\u5df2\u7ecf\u5339\u914d\u4e86\u7684\u4e00\u6bb5\uff0c\u4e5f\u5c31\u662f\u76ee\u6807\u94fe\u7684\u5b50\u94fe\u4ece\u540e\u770b\u5339\u914d\u7684\u4e00\u6bb5\uff0c\u5982\u679c\u76ee\u6807\u94fe\u7684\u6bcf\u4e00\u6bb5\u5b50\u94fe\u90fd\u5df2\u7ecf\u9884\u5904\u7406\u597d\u4e86\uff0c\u53ef\u4ee5\u4ee5O(1)\u7684\u65f6\u95f4\u627e\u5230\u524d\u7f00\u94fe\u4e0e\u540e\u7f00\u94fe\u5339\u914d\u7684\u6700\u957f\u4f4d\u7f6e\uff0c\u90a3\u4e48\u76ee\u6807\u94fe\u4e0a\u7684\u6307\u9488\u56de\u9000\u5230\u8be5\u4f4d\u7f6e\u540e\uff0c\u4fbf\u53ef\u7ee7\u7eed\u4e0e\u6a21\u677f\u94fe\u7ee7\u7eed\u5339\u914d\uff0c\u8fd9\u4fbf\u662fKMP\u7b97\u6cd5\u7684\u6838\u5fc3\u601d\u60f3\u3002<\/p>\n\n\n\n

\"\"<\/div><\/figure>\n\n\n\n

\u5b9e\u73b0\u8fc7\u7a0b\uff1a<\/h2>\n\n\n\n

1\u3001KMP\u7b97\u6cd5\u6838\u5fc3\u4e00\u6b65\u4fbf\u662f\u5bf9\u76ee\u6807\u94fe\u7684\u9884\u5904\u7406\u8fc7\u7a0b\uff0c\u4e5f\u5c31\u662f\u627e\u5230\u76ee\u6807\u94fe\u5b50\u4e0a\u7684\u6bcf\u4e00\u6bb5\u7684\u771f\u524d\u540e\u7f00\u94fe\uff0cnext\u51fd\u6570\u7684\u5b9e\u73b0<\/h3>\n\n\n\n
\"\"<\/div><\/figure>\n\n\n\n
void next(char str[])
{
     ne[1]=0;
     for(int i=2,j=0;i<=n;i++)
     {
          while(j&&str[j+1]!=str[i]) j=ne[j];
     }
     if(str[i]==str[j+1]) j++;
     ne[i]=j;
}<\/code><\/pre>\n\n\n\n
2\u3001\u76ee\u6807\u94fe\u4e0e\u6a21\u677f\u94fe\u7684\u5339\u914d\u8fc7\u7a0b\uff0c\u601d\u8def\u4e0enext\u51fd\u6570\u7684\u5b9e\u73b0\u57fa\u672c\u4e00\u81f4<\/h3>\n\n\n\n
\"\"<\/div><\/figure>\n\n\n\n
\u4ee3\u7801\u5b9e\u73b0<\/strong><\/p>\n\n\n\n
for(int i=1,j=0;i<=m;i++)
{
    while(j&&a[i]!=b[j+1]) j=ne[j];
    if(a[i]==b[j+1])
        j++;
    if(j==n) printf(\"%d\/n\",i-n+1);
}<\/code><\/pre>\n\n\n\n
\u4f8b\u9898\uff1a<\/h2>\n\n\n\n
\"\"<\/div><\/figure>\n\n\n\n
#include <iostream>
using namespace std;
const int N=100010,const int M=1000010;
int n,m;
int ne[N];
char s[M],p[N];
int main()
{
    cin>>n>>P+1>>m>>s+1;
    for(int i=2,j=0;i<=n;i++)
    {
        while(j&&p[j+1]!=p[i]) j=ne[j];
        if(p[j+1]==p[i]) j++;
        ne[i]=j;
    }
    for(int i=1,j=0;i<=m;i++)
    {
        while(j&&s[i]!=p[j+1]) j=ne[j];
        if(s[i]==p[j+1]) j++;
        if(j==n)
        {
            printf(\"%d \",i-n);
            j=ne
        }
    }
    return 0;
}<\/code><\/pre>\n","protected":false},"excerpt":{"rendered":"
\u57fa\u672c\u539f\u7406\uff1a KMP\u7b97\u6cd5\u662f\u6838\u5fc3\u662f\u8fd0\u7528\u53cc\u6307\u9488\u7b97\u6cd5\u548c\u9012\u5f52\u601d\u60f3\u6765\u89e3\u51b3\u5bfb\u627e\u4e00\u76ee\u6807\u94fe\u5728\u6a21\u677f\u94fe\u4e2d\u7684\u8d77\u59cb\u5339\u914d\u4f4d\u7f6e\uff0c\u66b4\u529b\u7b97\u6cd5\u4fbf\u662f […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[4,32],"tags":[30],"class_list":["post-257","post","type-post","status-publish","format-standard","hentry","category-blog","category-32","tag-30"],"jetpack_sharing_enabled":true,"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/blog.heartwarming.online\/index.php\/wp-json\/wp\/v2\/posts\/257","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blog.heartwarming.online\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blog.heartwarming.online\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blog.heartwarming.online\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/blog.heartwarming.online\/index.php\/wp-json\/wp\/v2\/comments?post=257"}],"version-history":[{"count":2,"href":"https:\/\/blog.heartwarming.online\/index.php\/wp-json\/wp\/v2\/posts\/257\/revisions"}],"predecessor-version":[{"id":263,"href":"https:\/\/blog.heartwarming.online\/index.php\/wp-json\/wp\/v2\/posts\/257\/revisions\/263"}],"wp:attachment":[{"href":"https:\/\/blog.heartwarming.online\/index.php\/wp-json\/wp\/v2\/media?parent=257"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.heartwarming.online\/index.php\/wp-json\/wp\/v2\/categories?post=257"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.heartwarming.online\/index.php\/wp-json\/wp\/v2\/tags?post=257"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}