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;
typedef long double ld;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
typedef vector<int> vi;
typedef vector<ll> vl;
typedef vector<pii> vii;
typedef vector<vi> vvi;
typedef vector<pll> vll;
typedef vector<vl> vvl;

#define fori(i, n) for (int i = 0; i < n; i++)
#define ford(i, n) for (int i = n - 1; i >= 0; i--)
#define rep(i, a, b) for (int i = a; i <= b; i++)
#define repd(i, a, b) for (int i = a; i >= b; i--)
#define trav(x, a) for (auto &x : a)
#define all(x) (x).begin(), (x).end()
#define pb push_back
#define eb emplace_back
#define endl '\n'
#define sz(a) (int)(a).size()
#define fi first
#define se second

clock_t time_p = clock();
void time_taken()
{
    time_p = clock() - time_p;
    cerr << "Time Taken : " << (float)(time_p) / CLOCKS_PER_SEC << "\n";
}

const ll mod = 1e9 + 7;
const ll INF = 1e18;

int main()
{
    ios_base::sync_with_stdio(false), cin.tie(nullptr);

    string s;
    cin >> s;
    int x = 0;
    for(char c:s){
        x += (c - '0');
        x %= 9;
    }
    x %= 9;
    cout << (x ? "No":"Yes") << endl;

    time_taken();
    return 0;
}