Seek the Name, Seek the Fame

Seek the Name, Seek the Fame

Time Limit: 2000MS Memory Limit: 65536KTotal Submissions: 20647 Accepted: 10768

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

ababcababababcababaaaaa

Sample Output

2 4 9 18
1 2 3 4 5
 题意要求的找出满足既是字符串的s的前缀又是后缀的字串输出该字串的长度。
#include<iostream>#include<algorithm>#include<cstdio>#include<cstring>using namespace std;#define MAXN 400010int kk;int mark;char pattern[MAXN];int next[MAXN];int a[1000000];/*求出next数组*/void getNext(){    int len = strlen(pattern);    next[0] = next[1] = 0;    for(int i = 1 ; i < len ; i++)    {        int j = next[i];        while(j && pattern[i] != pattern[j])            j = next[j];        next[i+1] = pattern[i] == pattern[j] ? j+1 : 0;    }}/*递归输出*/void dfs(int len){    if(len==0)        return ;        a[kk]=len;        kk++;    dfs(next[len]);}int main(){    while(scanf("%s" , pattern) != EOF)    {         kk=0;        getNext();        int len = strlen(pattern);        mark = 0;        dfs(len);        for(int i=kk-1;i>=0;i--)        {            printf("%d",a[i]);            if(i>0)                printf(" ");        }        printf("\n");    }    return 0;}