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)

//-------All power is within you,you can do Anything and Everything.---------//
 
    #include <bits/stdc++.h>
    using namespace std;
  
//*$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$ M $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$*//
 
    #define pb push_back
    #define MP make_pair
    #define F first
    #define S second
    #define sc(x) scanf("%lld",&x)
    #define pf(x) printf("%lld\n",x)
    #define int long long
    #define all(x) x.begin(),x.end() 
    #define fo(i,a,b) for(int i=a;i<b;i++)
    #define rfo(i,b,a) for(int i=b;i>=a;i--)
    #define deb(x) cout<<#x<<" "<<x<<endl;
    #define mem( a, val ) memset(a, val, sizeof( a ) )
    #define deci( x ) cout<<fixed<<setprecision( x );
    #define bitcount( x ) __builtin_popcountll( x )
    #define endl "\n" 
 
    
    typedef vector<int> vi;
    typedef pair<int,int> pi; 
    
    const int MOD =  1000000007 ;
    const int MAX = 2e6 + 7;
    const int INF = 1e15;
    const int dx[8] = {-1, -1, -1, 0, 1, 1, 1, 0};
    const int dy[8] = {-1, 0, 1, 1, 1, 0, -1, -1};
 
//*$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$ V $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$*//  
    
    int i,j,k,t,n,q,l,r,mid;
    
//*$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$ F $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$*//
    
    int sum;
    void solve()
    {
        cin>>n;
        fo(i,1,n+1)
        {
            if(i%3!=0 && i%5!=0)
                sum+=i;
        }
        cout<<sum<<endl;

    }
    
//*$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$*//
//                          GAME STARTS FROM HERE                            //
 
    int32_t main() 
    {
    
        // int start,stop=clock();
        // cout<<"time:"<<(stop-start)/double(CLOCKS_PER_SEC)*1000<<endl;
        ios_base::sync_with_stdio(0);
        cin.tie(NULL);

        // sc(t);while(t--)
        // cin>>t;while(t--)
            solve();
    
        return 0;
    }