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;
 
template<class L, class R> ostream& operator<<(ostream &os, pair<L,R> P) {
    return os << "(" << P.first << "," << P.second << ")"; }
template<class T> ostream& operator<<(ostream &os, vector<T> V) {
    os << "[ "; for(auto v : V) os << v << " "; return os << "]"; }
template<class T> ostream& operator<<(ostream &os, set<T> S){
    os << "{ "; for(auto s:S) os<<s<<" "; return os<<"}"; }
template<class T> ostream& operator<<(ostream &os, multiset<T> S){
    os << "{ "; for(auto s:S) os<<s<<" "; return os<<"}"; }
template<class L, class R> ostream& operator<<(ostream &os, map<L,R> M) {
    os << "{ "; for(auto m:M) os<<"("<<m.F<<":"<<m.S<<") "; return os<<"}"; }
    #define db(...) __f(#__VA_ARGS__, __VA_ARGS__)
template <typename Arg1>
void __f(const char* name, Arg1&& arg1) { cout << name << " : " << arg1 << '\n'; }
template <typename Arg1, typename... Args>
void __f(const char* names, Arg1&& arg1, Args&&... args) {
    const char* comma = strchr(names + 1, ',');
    cout.write(names, comma - names) << " : " << arg1 << " |"; __f(comma + 1, args...); }
#define rng(x) x.begin(), x.end()
#define pb push_back
#define F first
#define S second
#define el '\n'
 
typedef long long ll;
typedef pair<int,int> pi;
typedef pair<ll,ll> pl;
typedef vector<int> vi;
typedef vector<ll> vl;
typedef vector<vi> vvi;
typedef vector<vl> vvl;
typedef vector<bool> vb;
 
/*-----------------------------Code begins----------------------------------*/

void solve(){
    string str; cin>>str;
    int sm = 0;
    for(char c : str) sm += (c - '0');

    if(sm%9 == 0){
        cout<<"Yes\n";
    }
    else{
        cout<<"No\n";
    }
}
 
int main(){
    ios_base::sync_with_stdio(0);
    cin.tie(0); cout.tie(0);
    int T=1, tc = 1;
    // cin>>T; 
    while(T--){
        solve();
    }
    return 0; 
}