A Secret
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 256000/256000 K (Java/Others)
Total Submission(s): 195 Accepted Submission(s): 83
Problem 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
Hint case 2: Suffix(S2,1) = “aba”, Suffix(S2,2) = “ba”, Suffix(S2,3) = “a”. N1 = 3, N2 = 3, N3 = 4. L1 = 3, L2 = 2, L3 = 1.
ans = (3*3+3*2+4*1)%1000000007.
#include<cstdio>
#include<iostream>
#include<cstring>
using namespace std;
#define ll long long
const int mn=1e6+5;
int n,m,nextval[mn];
char s[mn],t[mn];
ll id[mn];
const int mod=1e9+7;
void getNextval() {
int i=0,j=-1;
nextval[0]=-1;
while(i<m) {
if(j==-1||t[i]==t[j])
nextval[++i]=++j;
else j=nextval[j];
}
}
void KMP() {
int i=0,j=0;
while(i<n) {
if(j==-1||s[i]==t[j]) ++i,++j;
else j=nextval[j];
id[j]++;
if(j==m)
j=nextval[j];
}
}
int main() {
int T;
scanf("%d",&T);
while(T--) {
memset(id,0,sizeof(id));
scanf("%s%s",s,t);
n=strlen(s),m=strlen(t);
for(int i=0;i<=(n-1)/2;++i)
swap(s[i],s[n-1-i]);
for(int i=0;i<=(m-1)/2;++i)
swap(t[i],t[m-1-i]);
getNextval();
KMP();
ll ans=0;
for(int i=m;i>0;--i)
{
id[nextval[i]]+=id[i];
ans=(ans+id[i]*i)%mod;
}
printf("%lld\n",ans);
}
return 0;
}