# HDU 6153 A Secret （扩展KMP）

## Description

Today is the birthday of SF,so VS gives two strings S1,S2 to SF as a present,which have a big secret.SF is interested in this secret and ask VS how to get it.There are the things that VS tell:

Suffix(S2,i) = S2[i…len].Ni is the times that Suffix(S2,i) occurs in S1 and Li is the length of Suffix(S2,i).Then the secret is the sum of the product of Ni and Li.

Now SF wants you to help him find the secret.The answer may be very large, so the answer should mod 1000000007.

## Input

Input contains multiple cases.

The first line contains an integer T,the number of cases.Then following T cases.

Each test case contains two lines.The first line contains a string S1.The second line contains a string S2.

1<=T<=10.1<=|S1|,|S2|<=1e6.S1 and S2 only consist of lowercase ,uppercase letter.

## Output

For each test case,output a single line containing a integer,the answer of test case.

The answer may be very large, so the answer should mod 1e9+7.

## Sample Input

2
aaaaa
aa
abababab
aba


## Sample Output

13
19


## AC 代码

#include<bits/stdc++.h>
using namespace std;
const int maxn = 1e6+10;
typedef __int64 LL;
const int mod = 1e9+7;

void pre_ekmp(char *x,int m,int next[])
{
next[0]=m;
int j=0;
while(j+1<m&&x[j]==x[j+1])j++;
next[1]=j;
int k=1;
for(int i=2; i<m; i++)

{
int p=next[k]+k-1;
int L=next[i-k];
if(i+L<p+1)next[i]=L;
else
{
j=max(0,p-i+1);
while(i+j<m&&x[i+j]==x[j])
j++;
next[i]=j;
k=i;
}
}
}

void ekmp(char x[],int m,char y[],int n,int next[],int extend[])
{
pre_ekmp(x,m,next);
int j=0;
while(j<n&&j<m&&x[j]==y[j])j++;
extend[0]=j;
int k=0;
for(int i=1; i<n; i++)
{
int p=extend[k]+k-1;
int L=next[i-k];
if(i+L<p+1)extend[i]=L;
else
{
j=max(0,p-i+1);
while(i+j<n&&j<m&&y[i+j]==x[j])j++;
extend[i]=j;
k=i;
}
}
}

char str1[maxn],str2[maxn];
int nex[maxn],extend[maxn];
int main()
{
ios::sync_with_stdio(false);
int T;
cin>>T;
while(T--)
{
cin>>str1>>str2;
int n=strlen(str1);
int m=strlen(str2);
reverse(str1,str1+n);
reverse(str2,str2+m);
ekmp(str2,m,str1,n,nex,extend);
LL ans=0;
for(int i=0; i<n; i++)
ans=((1LL*extend[i]*(extend[i]+1)/2)%mod+ans)%mod;
cout<<ans<<endl;
}
return 0;
}