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Problems > Smallest Period

Smallest Period

Difficulty: 1600 2000 ms 128 MB

strings

The period of S is the smallest P such that S consists of repetitions of its first P characters (P divides |S|). Print it (P = |S| when S is not periodic).

Input: one line with the string S.

Output: the smallest period of S.

Constraints:

  • 1 ≤ |S| ≤ 104
  • lowercase letters

Sample Tests

Input 1
ababab
Output 1
2
Input 2
abcab
Output 2
5

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