1812. Longest Common Substring II

Problem code: LCS2

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.

Input

The input contains at most 10 lines, each line consists of no more than 100000 lowercase letters, representing a string.

Output

The length of the longest common substring. If such string doesn't exist, print "0" instead.

Example


Input: alsdfkjfjkdsal fdjskalajfkdsla aaaajfaaaa Output: 2


Notice: new testcases added





和LCS差不多。。早知道先写这题，一题顶2题。

这题先把答案存在g2中表示一个结点的最大可选长度。

但是这样略坑because它的祖先可能为0，比匹配长的还小。

所以向上更新，如果一个节点嫩能取到len1，那么它的祖先一定能取到step≤len1

所以赋给g的初值是step。。。



#include<cstdio>
#include<cstring>
#include<cstdlib>
#include<algorithm>
#include<functional>
#include<iostream>
#include<cmath>
#include<cctype>
#include<ctime>
using namespace std;
#define For(i,n) for(int i=1;i<=n;i++)
#define Fork(i,k,n) for(int i=k;i<=n;i++)
#define Rep(i,n) for(int i=0;i<n;i++)
#define ForD(i,n) for(int i=n;i;i--)
#define RepD(i,n) for(int i=n;i>=0;i--)
#define Forp(x) for(int p=pre[x];p;p=next[p])
#define Lson (x<<1)
#define Rson ((x<<1)+1)
#define MEM(a) memset(a,0,sizeof(a));
#define MEMI(a) memset(a,127,sizeof(a));
#define MEMi(a) memset(a,128,sizeof(a));
#define INF (2139062143)
#define F (100000007)
#define MAXN (200000+10)
long long mul(long long a,long long b){return (a*b)%F;}
long long add(long long a,long long b){return (a+b)%F;}
long long sub(long long a,long long b){return (a-b+(a-b)/F*F+F)%F;}
typedef long long ll;
char s1[MAXN],s2[MAXN];
struct node
{
  int pre,step,ch[26];
  char c;
  node(){pre=step=c=0;memset(ch,sizeof(ch),0);}
}a[MAXN];
int last=0,total=0;
void insert(char c)
{
  int np=++total;a[np].c=c+'a',a[np].step=a[last].step+1;
  int p=last;
  for(;!a[p].ch[c];p=a[p].pre) a[p].ch[c]=np;
  if (a[p].ch[c]==np) a[np].pre=p;
  else
  {
    int q=a[p].ch[c];
    if (a[q].step>a[p].step+1)
    {
      int nq=++total;a[nq]=a[q];a[nq].step=a[p].step+1;
      a[np].pre=a[q].pre=nq;
      for(;a[p].ch[c]==q;p=a[p].pre) a[p].ch[c]=nq;
    }else a[np].pre=q;
  }  
  last=np;
}
int g[MAXN]={0},g2[MAXN];
int t[MAXN]={0},r[MAXN]={0};
int main()
{
//  freopen("spojLCS2.in","r",stdin);
  scanf("%s",s1+1);int n=strlen(s1+1);
  For(i,n) insert(s1[i]-'a');
  Rep(i,total+1) t[a[i].step]++;
  For(i,n) t[i]+=t[i-1];
  Rep(i,total+1) r[t[a[i].step]--]=i;
    
  Rep(i,total+1) g[i]=a[i].step;
  while (scanf("%s",s2+1)==1)
  {
    int now=0,len=0,m=strlen(s2+1);
    MEM(g2);
    For(i,m)
    {
      char c=s2[i]-'a';
      while (now&&!a[now].ch[c]) now=a[now].pre,len=a[now].step;
      if (a[now].ch[c]) now=a[now].ch[c],len++;
      g2[now]=max(g2[now],len);
    }
    ForD(i,total+1)
    {
      int now=r[i];
      g2[a[now].pre]=max(g2[a[now].pre],g2[now]);
    }
    Rep(i,total+1) g[i]=min(g[i],g2[i]);
  }
  int ans=0;
  Rep(i,total+1) ans=max(ans,g[i]);
  printf("%d\n",ans);
  return 0;
}