Problem:
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

Solution in Python (3.8.2) (judge verdict: Accepted)

# -*- coding: utf-8 -*-
import sys


def main():
    N_str = sys.stdin.readline().rstrip()

    sum_digit = 0

    for s in N_str:
        sum_digit += int(s)
    
    if (sum_digit % 9 == 0):
        print("Yes")
    else:
        print("No")


if __name__ == "__main__":
    main()