Armstrong Number

Easy#math #digits· solved by 0 · time limit 2.0 s

An Armstrong number of $k$ digits equals the sum of its digits each raised to the power $k$ (e.g. $153 = 1^3+5^3+3^3$ ). Print Yes or No.

Input

A single non-negative integer $n$ without leading zeros.

Yes or No.

$0 \le n \le 10^{9}$

Input

Output

Yes

Input

Output

No