A string is finite sequence of characters over a non-empty finite set Σ.
In this PRoblem, Σ is the set of lowercase letters.
Substring, also called factor, is a consecutive sequence of characters occurrences at least once in a string.
Now your task is a bit harder, for some given strings, find the length of the longest common substring of them.
Here common substring means a substring of two or more strings.
The input contains at most 10 lines, each line consists of no more than 100000 lowercase letters, representing a string.
The length of the longest common substring. If such string doesn't exist, print "0" instead.
Input:alsdfkjfjkdsalfdjskalajfkdslaaaaajfaaaaOutput:2Notice: new testcases added
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后缀自动机~
推荐两篇博客:那篇俄罗斯文章的翻译,一篇神奇的双语总结~
以及陈老师的PPT~
#include<cstdio>#include<cstring>#include<iostream>#include<algorithm>using namespace std;#define maxn 200001int len,tot,cnt,s[maxn],l[maxn],cl[maxn],mn[maxn],fa[maxn],to[maxn][26],v[maxn],ans;char ch[100001];struct sam{ int p,q,np,nq,la; sam(){ cnt=++la; } void ext(int u) { p=la;la=np=++cnt;l[np]=l[p]+1; for(;p && !to[p][u];p=fa[p]) to[p][u]=np; if(!p) fa[np]=1; else { q=to[p][u]; if(l[p]+1==l[q]) fa[np]=q; else { nq=++cnt;l[nq]=l[p]+1; memcpy(to[nq],to[q],sizeof(to[q])); fa[nq]=fa[q];fa[np]=fa[q]=nq; for(;to[p][u]==q;p=fa[p]) to[p][u]=nq; } } } void build() { scanf("%s",ch); len=strlen(ch); for(int i=0;i<len;i++) ext(ch[i]-'a'); } bool pre() { if(scanf("%s",ch)==EOF) return 0; len=strlen(ch); memset(cl,0,sizeof(cl)); int tmp=0; for(int p=1,i=0;i<len;i++) { int c=ch[i]-'a'; if(to[p][c]) p=to[p][c],tmp++; else { while(p && !to[p][c]) p=fa[p]; if(!p) p=1,tmp=0; else tmp=l[p]+1,p=to[p][c]; } cl[p]=max(cl[p],tmp); } for(int i=cnt;i;i--) { int t=s[i]; mn[t]=min(mn[t],cl[t]); if(fa[t] && cl[t]) cl[fa[t]]=l[fa[t]]; } return 1; }}sam;int main(){ sam.build(); for(int i=1;i<=cnt;i++) mn[i]=l[i],v[l[i]]++; for(int i=1;i<=len;i++) v[i]+=v[i-1]; for(int i=1;i<=cnt;i++) s[v[l[i]]--]=i; while(sam.pre()); for(int i=1;i<=cnt;i++) ans=max(ans,mn[i]); printf("%d/n",ans); return 0;}
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