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;
//freopen("input.txt" , "r" , stdin);
//freopen("output.txt" , "w" , stdout);
#define ll            long long
#define endl          '\n'
//ll ans=floor(y*log10(x))+1;   number of digits in x^y
//for(ll i=1;i<1000000;i++)for(ll j=i;j<1000000;j+=i)divisors[j]++;  counting divisors or NOD(1 to N) ..its works like as prime_factorizations...
//for(ll i=1;i<1000000;i++)for(ll j=i;j<1000000;j+=i)sum_of_divisors[j]+=i;  sum of divisors ... sum_of_divisors(6)=1+2+3+6=12......
#define gcd(a, b)        __gcd(a, b)
#define lcm(a, b)        ((a)*((b)/gcd(a,b)))
#define w(x)          ll x;cin>>x;while(x--)
#define IOS           ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);
#define REP(i,n)      for(ll i=0;i<n;i++)
#define REP1(i1,n)    for(ll i=1;i<n;i++)
#define pb             push_back
#define mk             make_pair
#define ff             first
#define ss             second
const double pi = acos(-1.0);
#define  mpee            map<ll,ll>
#define  v             vector<ll>
#define  be            begin()
#define  e             end()
#define mod            1000000007
#define Max              100009s
int main()
{
string st;
cin>>st;
ll ans=0;
for(ll i=0;i<st.size();i++)
{
    ans+=st[i]-'0';
}
if(ans%9==0)cout<<"Yes"<<endl;
else cout<<"No"<<endl;
}
//for(ll i=0;i<len;i++)cout<<v[i]<<" ";
/*

Alhamdulilla...

*/