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Score : $200$ points

### Problem Statement

An integer $N$ is a multiple of $9$ if and only if the sum of the digits in the decimal representation of $N$ is a multiple of $9$.

Determine whether $N$ is a multiple of $9$.

### Constraints

• $0 \leq N < 10^{200000}$
• $N$ is an integer.

### Input

Input is given from Standard Input in the following format:

$N$


### Output

If $N$ is a multiple of $9$, print Yes; otherwise, print No.

### Sample Input 1

123456789


### Sample Output 1

Yes


The sum of these digits is $1+2+3+4+5+6+7+8+9=45$, which is a multiple of $9$, so $123456789$ is a multiple of $9$.

### Sample Input 2

0


### Sample Output 2

Yes


### Sample Input 3

31415926535897932384626433832795028841971693993751058209749445923078164062862089986280


### Sample Output 3

No