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Problems > Factorion

Factorion

Difficulty: 1100 2000 ms 128 MB

math

A factorion equals the sum of the factorials of its digits (145 = 1!+4!+5!). Is N a factorion?

Input: one integer N.

Output: YES or NO.

Constraints:

  • 1 ≤ N ≤ 109

Sample Tests

Input 1
145
Output 1
YES
Input 2
146
Output 2
NO

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