UVa 455 Periodic Strings

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<stdio.h>#include<string.h>int main(){int N;char buf[85];scanf("%d", &N);while(N--){scanf("%s", buf);int len = strlen(buf);int i;int min = len;for(i = 1; i < len; i ++){if(len % i != 0) continue;int j = 0;for(j = 0; j < len; j ++){if(buf[j] != buf[j % i])break;}if(j == len){min = i;break;}}printf("%d\n", min);if(N != 0)printf("\n");}return 0;}