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)

/*****And nothing else matters!******/

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

#define pi 3.1415926535
#define endl "\n"
#define yes cout << "YES\n"
#define no cout << "NO\n"
#define ll long long
#define llu unsigned long long
#define setbits(x) __builtin_popcountll(x)
#define pb push_back
#define mp make_pair
#define sz(x) (int)x.size()
#define tc int test_case; cin >> test_case; while(test_case--)
#define f(i,a,n) for(int i = a ; i < n ; i++)
#define rf(i,n,a) for(int i = n-1 ; i >= a ; i--)
#define F first
#define S second
#define all(c) (c).begin(),(c).end()
#define get(a,n) f(i,0,n) cin >> a[i];
#define show(a,n) f(i,0,n) cout << a[i] << " "; cout << endl;
#define sp(x) fixed << setprecision(10) << x
#define fast ios:: sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL);
#define trace(x) cerr << '>' << #x << ':' << (x) << "\n"
#define trace2(x,y) cerr<< '>' << #x << ':' << (x) << " | " << #y << ':' << (y) << "\n"
#define trace3(a,b,c) cerr<<#a<<"="<<(a)<<", "<<#b<<"="<<(b)<<", "<<#c<<"="<<(c)<<"\n"
#define trace4(a,b,c,d) cerr<<#a<<"="<<(a)<<", "<<#b<<"="<<(b)<<", "<<#c<<"="<<(c)<<", "<<#d<<"="<<(d)<<"\n"

typedef long double ld;
typedef vector<int> vi;
typedef vector<ll> vl;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;
typedef pair<pii,int> ppi;
typedef vector<pii> vpi;
typedef map<int,int> mii;
typedef map<ll,ll> mll;

const int inf = 1e9;
const ll inf64 = 1e18;
const int mod = inf + 7;
const int N = 2e5 + 10;

int main()
{
    fast;
    int n;
    cin >> n;
    ll ans = 0;
    f(i,1,n+1)
    {
        if(i % 3 and i % 5)
            ans += i;
    }
    cout << ans;
}