Problems > Largest Prime Factor

Largest Prime Factor

Difficulty: 1300 3000 ms 128 MB

math number-theory

Print the largest prime factor of N.

Input: one integer N.

Output: the largest prime factor.

Constraints:

  • 2 ≤ N ≤ 1012

Sample Tests

Input 1
13195
Output 1
29
Input 2
2
Output 2
2

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