s: "abab"
The prefixes are: "a", "ab", "aba", "abab"
For each prefix, we can count the times it matches in s. So we can see that prefix "a" matches twice, "ab" matches twice too, "aba" matches once, and "abab" matches once. Now you are asked to calculate the sum of the match times for all the prefixes. For "abab", it is 2 + 2 + 1 + 1 = 6.
The answer may be very large, so output the answer mod 10007.
KMP理解题目 1 //字符串上KMP(水)
2 //从前向后扫,失配函数的位置就是一个前缀的位置减1
3 //加起来就好了
4 #include<cstring>
5 #include<cstdio>
6 #include<algorithm>
7 using namespace std;
8 const int MAX = 200000;
9 const int MOD = 10007;
10 char str[MAX];
11 int next[MAX],vis[MAX];
12 int main()
13 {
14 int cas,n;
15 scanf("%d",&cas);
16 while(cas--)
17 {
18 scanf("%d %s",&n,str);
19 next[0]=next[1]=0;
20 for(int i=1;i<n;i++)
21 {
22 int j=next[i];
23 while(j&&str[i]!=str[j]) j=next[j];
24 if(str[i]==str[j])
25 next[i+1]=j+1;
26 else next[i+1]=0;
27 }
28 int ans=0,cnt=0;
29 for(int i=0;i<n;i++)
30 {
31 if(next[i])
32 {
33 // cnt++;
34 ans=(ans+2)%MOD;
35 }
36 else
37 ans=(ans+1)%MOD;
38 }
39 if(next[n]) ans=(ans+1)%MOD;
40 printf("%d\n",(ans)%MOD);
41 }
42 return 0;
3 //加起来就好了
4 #include<cstring>
5 #include<cstdio>
6 #include<algorithm>
7 using namespace std;
8 const int MAX = 200000;
9 const int MOD = 10007;
10 char str[MAX];
11 int next[MAX],vis[MAX];
12 int main()
13 {
14 int cas,n;
15 scanf("%d",&cas);
16 while(cas--)
17 {
18 scanf("%d %s",&n,str);
19 next[0]=next[1]=0;
20 for(int i=1;i<n;i++)
21 {
22 int j=next[i];
23 while(j&&str[i]!=str[j]) j=next[j];
24 if(str[i]==str[j])
25 next[i+1]=j+1;
26 else next[i+1]=0;
27 }
28 int ans=0,cnt=0;
29 for(int i=0;i<n;i++)
30 {
31 if(next[i])
32 {
33 // cnt++;
34 ans=(ans+2)%MOD;
35 }
36 else
37 ans=(ans+1)%MOD;
38 }
39 if(next[n]) ans=(ans+1)%MOD;
40 printf("%d\n",(ans)%MOD);
41 }
42 return 0;
43 }