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: Runtime Error)

#include <iostream>
#include <string>

using namespace std;

int main(void){

  int N;
  int sum = 0;
  string a[100000];

  cin >> N;

  for(int i=1; i<=N; i++){
    if(i%3==0 || i%5==0) a[i] += "FizzBuzz";
    else if(i%3==0) a[i] += "Fizz";
    else if(i%5==0) a[i] += "Buzz";
    else a[i] += to_string(i);
  }

  for(int i=1; i<=N; i++){
    if(a[i] == "FizzBuzz" || a[i] == "Fizz" || a[i] == "Buzz"){
      
    }
    else sum += stoi(a[i]);
  }

  cout << sum;
  
  return 0;
}