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 PyPy3 (7.3.0) (judge verdict: Accepted)

import time
startTimeProblem=time.time()

import fileinput, sys, itertools, functools
from math import *
from bisect import *
from heapq import *
from collections import *

def lcm(a, b):  
    return (a*b)/gcd(a, b)

class InputHelper:
    def __init__(self):
        self.myinput = fileinput.input()

    def isLocal(self):
        return not fileinput.isstdin()

    def int(self):
        return int(self.myinput.readline().rstrip())

    def ints(self):
        return [int(_) for _ in self.myinput.readline().rstrip().split()]

    def str(self):
        return self.myinput.readline().rstrip()

    def strs(self):
        return [_ for _ in self.myinput.readline().rstrip().split()]

class OutputHelper:
    def int(self, a):
        print(a)    

    def ints(self, a):  
        print(" ".join([str(_) for _ in a]))
    
    def intsNL(self, a):
        for _ in a:
            print(_)
    
    def str(self, s):
        print(s)

    def strs(self, s):
        print(" ".join([_ for _ in s]))

    def strsNL(self, s):
        for st in s:
            print(st)

class ListNode:
    def __init__(self, val):
        self.val = val
        self.next = None
        self.prev = None

In = InputHelper()
Out = OutputHelper()

######################################

N = In.str()

ans = 0

for num in N:
    ans += int(num)
    ans %= 9

if ans==0:
    Out.str("Yes")
else:
    Out.str("No")

######################################

if len(sys.argv)>2 and sys.argv[2]=="TIMEIT":
    fin = (time.time()-startTimeProblem)*1000
    print("{:.2f}".format(fin) + "ms")