Problem:
Score : 200 points

Problem Statement

Let us define the FizzBuzz sequence a_1,a_2,... as follows:

If both 3 and 5 divides i, a_i=\mbox{FizzBuzz}.

If the above does not hold but 3 divides i, a_i=\mbox{Fizz}.

If none of the above holds but 5 divides i, a_i=\mbox{Buzz}.

If none of the above holds, a_i=i.

Find the sum of all numbers among the first N terms of the FizzBuzz sequence.

Constraints

1 \leq N \leq 10^6

Input

Input is given from Standard Input in the following format:

N

Output

Print the sum of all numbers among the first N terms of the FizzBuzz sequence.

Sample Input 1

15

Sample Output 1

60

The first 15 terms of the FizzBuzz sequence are:

1,2,\mbox{Fizz},4,\mbox{Buzz},\mbox{Fizz},7,8,\mbox{Fizz},\mbox{Buzz},11,\mbox{Fizz},13,14,\mbox{FizzBuzz}

Among them, numbers are 1,2,4,7,8,11,13,14, and the sum of them is 60.

Sample Input 2

1000000

Sample Output 2

266666333332

Watch out for overflow.

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

#include <bits/stdc++.h>
#include <map> // pair
using namespace std;

typedef long long ll;
#define vec vector<int>
#define vecll vector<ll>
#define vpair vector<pair<int, int>>
#define vpairll vector<pair<ll, ll>>
#define fi first
#define se second
#define pb push_back
#define mp make_pair
#define rep(i,n)   for(int i=(int)0; i<(int)n; i++)
#define llrep(i,n)   for(ll i=(ll)0; i<(ll)n; i++)
#define REP(i,m,n) for(int i=(int)m; i<(int)n; i++)
#define all(var)     (var).begin(), (var).end()
#define prt(var)     cout << var << endl
#define prt_dbl(i,var) cout<<fixed<<setprecision(i)<<var<<endl;
template <typename Val>
Val gcd(Val a, Val b) {
//use ll or int for gcd
    if (b==0) return a;
    else return gcd(b, a%b);
}
template <typename Val>
Val vec_max(vector<Val> v){
  return *max_element(v.begin(),v.end());
}
template <typename Val>
Val vec_min(vector<Val> v){
  return *min_element(v.begin(),v.end());
}


//---------------------------------------------------------------

int main(){
  ll N;
  cin>>N;
  ll count = 1;
  ll c = 0;
  while(1){
    if(count%3==0||count%5==0){
      c+=0;

    }else {
      c+=count;
    }
    if(count==N){
      break;
    }
      count++;
  }


  cout<<c<<endl;












}