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.

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.

Constraints

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

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

见题面 Input 部分

见题面 Output 部分