Problems > Disarium Number

Disarium Number

Difficulty: 1000 2000 ms 128 MB

math

A Disarium number equals the sum of its digits raised to their positions (135 = 1¹+3²+5³). Is N Disarium?

Input: one integer N.

Output: YES or NO.

Constraints:

  • 1 ≤ N ≤ 109

Sample Tests

Input 1
135
Output 1
YES
Input 2
136
Output 2
NO

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