A character string is said to have period k if it can be formed by concatenating one or more repetitions of another string of length k. For example, the string "abcabcabcabc" has period 3, since it is formed by 4 repetitions of the string "abc". It also has periods 6 (two repetitions of "abcabc") and 12 (one repetition of "abcabcabcabc").

Write a program to read a character string and determine its smallest period.

Input

The first line oif the input file will contain a single integer N indicating how many test case that your program will test followed by a blank line. Each test case will contain a single character string of up to 80 non-blank characters. Two consecutive input will separated by a blank line.

Output

An integer denoting the smallest period of the input string for each input. Two consecutive output are separated by a blank line.

Sample Input

1HoHoHo

Sample Output

2

#include <cstdio>#include <cstring>using namespace std;int main(){    int kases;    char s[100];    scanf("%d",&kases);    while (kases--)    {        scanf("%s",s);        int length = strlen(s);        for (int i = 1; i <= length; i++)        {                if (length%i == 0)            {                            bool ok = true;                for (int j = i; j < length; j++)                    if (s[j] != s[j%i])                    {                            ok = false;                        break;                    }                if (ok)                {                    printf("%d\n",i);                    break;                }            }            }        if (kases != 0)            printf("\n");    }    return 0;}

本题没有难度，但由于没有认真审题，忽略了相邻两个输出之间要有空白行，提交了几次，认真审题是关键啊。

UVa OJ 455 Periodic Strings