Seek the Name, Seek the Fame 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

題目大意：給你一個字串，讓你輸出每個字串  不同長度的  字首  和  字尾  匹配時候的字首長度。

解析：直接用next陣列懟就可以了，

Accept程式碼【c++】【前期版本】【157MS】

#include <cstdio>
#include <cstring>

using namespace std;

#define M 400004
char str[M];
int len, n;
int p[M], a[M];

void getp() {
	int i = 0, j = -1;
	p[0] = -1;
	while(i != len) {
		if(j == -1 || str[i] == str[j])
			p[++i] = ++j;
		else
			j = p[j];
	}
}

int main() {
	while(scanf("%s", str) != EOF) {
		len = strlen(str);
		getp();
		memset(a, -1, sizeof(a));
		int i = 0, j = 0;
		while(len != -1) {
			a[i++] = p[len];
			n = i;
			len = p[len];
			if(a[i] == 0)
				break;
		}
		for(j = n - 3; j >= 0; j--)
			printf("%d ", a[j]);
		printf("%d\n", strlen(str));
	}
	return 0;
}
 

【後期版本】【469MS】

#include <cstdio>
#include <cstring>
#include <stack>

using namespace std;

int len;
int p[400001];
char str[400001];

void getp(int len) {

    int i = 0, j = -1;
    p[0] = -1;
    while(i != len) {
        if(j == -1 || str[i] == str[j])
            p[++i] = ++j;
        else
            j = p[j];
    }
}

int main() {
    while(~scanf("%s", str)) {
        int len;
        len = strlen(str);
        getp(len);
        stack <int > S;
        while(!S.empty()) S.pop();
        while(p[len]) {
            S.push(p[len]);
            len = p[len];
        }
        while(!S.empty()) {
            printf("%d ", S.top());
            S.pop();
        }
        printf("%d", strlen(str));
        printf("\n");
    }
    return 0;
}