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++ (Clang 10.0.0) (judge verdict: Wrong Answer)


#include <cstdio>
#include <cmath>
#include <limits>
#include <fstream>
#include <iostream>
#include <algorithm>
#include <vector>
#include <utility>
#include <cstring>
#include <set>
#include <map>
#include <queue>
#include <stack>
#include <cstdint>
#include <stdio.h>
#include <stdlib.h>
#define rep(i, s, g) for (i = s; i < g; i++)
using namespace std;
using ll = long long;

const ll mod = 1000000000 + 7; //10^9

int main() {
    // string n;
    // cin >> n;
    // int ans = 0;
    // int d = n.size();
    // vector <int> x(d);

    // cout <<"ans" <<ans<<  endl;
    // for (int i = 0; i < d; i++)
    // {
    //     string a = "n[i]";
    //     x[i] = atoi(a.c_str());
    //     cout << x[i] << n[i] << endl;
    //     ans += x[i];
    // }

    
    // cout << ans << endl;
    // if(ans % 9 == 0 ){
    //     cout << "Yes" << endl;
    // }
    // else
    // {
    //     cout << "No" << endl;
    // }
    
    
    ll n;
    cin >> n;
    ll d = 0;
    ll a = n;
    while(a>0) {
        a /= 10;
        d++;
    }
    vector<ll> x(d);
    ll i = 0;
    while(n>0) {
        x[i] = n% 10;
        n /= 10;
        i++;
    }
    ll ans= 0;
    for (auto &&i : x)
    {
        ans += i;
    }
    // cout << ans << endl;
    if(ans % 9 == 0 ){
        cout << "Yes" << endl;
    }
    else
    {
        cout << "No" << endl;
    }
    
    
}