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Problems > Smallest Divisor Above One

Smallest Divisor Above One

Difficulty: 1000 3000 ms 128 MB

math

Print the smallest divisor of N that is greater than 1 (N itself when N is prime).

Input: one integer N.

Output: the smallest divisor > 1.

Constraints:

  • 2 ≤ N ≤ 1012

Sample Tests

Input 1
91
Output 1
7
Input 2
97
Output 2
97

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