Given two strings a and b we define a*b to be their concatenation. For example, if a = "abc" and b = "def" then a*b = "abcdef". If we think of concatenation as multiplication, exponentiation by a non-negative integer is defined in the normal way: a^0 = "" (the empty string) and a^(n+1) = a*(a^n).

Input

Each test case is a line of input representing s, a string of printable characters. The length of s will be at least 1 and will not exceed 1 million characters. A line containing a period follows the last test case.

Output

For each s you should print the largest n such that s = a^n for some string a.

Sample Input

abcd
aaaa
ababab
.

Sample Output

1
4
3

Hint

This problem has huge input, use scanf instead of cin to avoid time limit exceed.
 
 
prekmp写残了,导致以为EOF不会写,后来才发现Next[j]=-1了。。。。
其实就是求最小循环节,然后循环次数n就最大了。
 
 #include<stdio.h>
#include<string.h>
#include<iostream>
#include<string>
using namespace std;
int Next[],n;
char p[]; void prekmp() {
int i,j;
j=Next[]=-;
i=;
while(i<n) {
while(j!=-&&p[i]!=p[j]) j=Next[j];
if(p[++i]==p[++j]) Next[i]=Next[j];
else Next[i]=j;
}
} int main() {
//freopen("in","r",stdin);
while(~scanf("%s",p)) {
if(p[]=='.') break;
n=strlen(p);
prekmp();
int l=n-Next[n];
if(n%l==) printf("%d\n",n/l);
else printf("%d\n",);
}
}

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