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 C++ (GCC 9.2.1) (judge verdict: Accepted)

#include <bits/stdc++.h>
using namespace std;
typedef long long ll;

#define SZ(x) (int)((x).size())
#define xx first
#define yy second
#define pii pair<int, int>



void solve() {
    string s;
    cin >> s;
    int sm = 0;
    for (int i = 0; i < SZ(s); i++)
        sm = (sm + (s[i] - '0')) % 9;
    cout << (sm ? "No" : "Yes") << '\n';
}
int main() {
    ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
    // int _; cin >> _; while (_--)
    solve();
    return 0;
}