Score : $200$ points

Problem Statement

Let $S(n)$ denote the sum of the digits in the decimal notation of $n$. For example, $S(101) = 1 + 0 + 1 = 2$.

Given an integer $N$, determine if $S(N)$ divides $N$.

Constraints

• $1 \leq N \leq 10^9$

Input

Input is given from Standard Input in the following format:

$N$

Output

If $S(N)$ divides $N$, print Yes; if it does not, print No.

12

Yes

In this input, $N=12$. As $S(12) = 1 + 2 = 3$, $S(N)$ divides $N$.

101

No

As $S(101) = 1 + 0 + 1 = 2$, $S(N)$ does not divide $N$.

999999999

Yes