POJ 2752.Seek the Name, Seek the Fame-KMP

本文介绍了一个用于寻找字符串中既是前缀也是后缀的子串的算法。通过该算法,可以解决一类特定的问题,例如为新生儿起名等。文章提供了完整的C++代码实现,并说明了输入输出的要求。

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Time Limit: 2000MS Memory Limit: 65536K
Total Submissions: 24711 Accepted: 12882

Description

The little cat is so famous, that many couples tramp over hill and dale to Byteland, and asked the little cat to give names to their newly-born babies. They seek the name, and at the same time seek the fame. In order to escape from such boring job, the innovative little cat works out an easy but fantastic algorithm: 

Step1. Connect the father's name and the mother's name, to a new string S. 
Step2. Find a proper prefix-suffix string of S (which is not only the prefix, but also the suffix of S). 

Example: Father='ala', Mother='la', we have S = 'ala'+'la' = 'alala'. Potential prefix-suffix strings of S are {'a', 'ala', 'alala'}. Given the string S, could you help the little cat to write a program to calculate the length of possible prefix-suffix strings of S? (He might thank you by giving your baby a name:) 

Input

The input contains a number of test cases. Each test case occupies a single line that contains the string S described above. 

Restrictions: Only lowercase letters may appear in the input. 1 <= Length of S <= 400000. 

Output

For each test case, output a single line with integer numbers in increasing order, denoting the possible length of the new baby's name.

Sample Input

ababcababababcabab
aaaaa

Sample Output

2 4 9 18
1 2 3 4 5

Source

 
 
 
代码:
 1 #include<cstdio>
 2 #include<cstring>
 3 using namespace std;
 4 const int N=4*1e5+10;
 5 int next[N],ans[N];
 6 char str[N];
 7 int cnt,len;
 8 void getnext(){
 9     next[0]=-1;
10     int i=0,j=-1;
11     while(i<len){
12         if(j==-1||str[i]==str[j]){
13             ++i;++j;next[i]=j;
14         }
15         else j=next[j];
16     }
17 }
18 int main(){
19     while(~scanf("%s",str)){
20         len=strlen(str);
21         getnext();
22         cnt=0;
23         int t=next[len-1];
24         while(t!=-1){
25             if(str[t]==str[len-1])ans[cnt++]=t+1;
26             t=next[t];
27         }
28         for(int i=cnt-1;i>=0;--i)
29             printf("%d ",ans[i]);
30         printf("%d\n",len);
31     }
32     return 0;
33 }

 

 

 

转载于:https://www.cnblogs.com/ZERO-/p/9826298.html

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