Problems > Perfect Power

Perfect Power

Difficulty: 1600 2000 ms 128 MB

math

Is N a perfect power — N = BE for some integers B ≥ 2, E ≥ 2 (or N = 1)?

Input: one integer N.

Output: YES or NO.

Constraints:

  • 1 ≤ N ≤ 1018

Sample Tests

Input 1
64
Output 1
YES
Input 2
10
Output 2
NO

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