Problems > Pronic Number

Pronic Number

Difficulty: 900 2000 ms 128 MB

math

A pronic number is a product of two consecutive integers, k(k+1) (0, 2, 6, 12, 20, ...). Is N pronic?

Input: one integer N.

Output: YES or NO.

Constraints:

  • 1 ≤ N ≤ 109

Sample Tests

Input 1
12
Output 1
YES
Input 2
13
Output 2
NO

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