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# (.NET Core 3.1.201) (judge verdict: Accepted)

using System;

class Program
    {
        static void Main(string[] args)
        {
            var number = int.Parse(Console.ReadLine());
            var result = GetFizzBuzzSequence(number);

            Console.WriteLine(result);
        }

        private static long GetFizzBuzzSequence(int number)
        {
            long result = 0L;
            for(int i = 1; i <= number; i++)
            {
                result += GetFizzBuzzNumber(i);
            }

            return result;
        }

        private static long GetFizzBuzzNumber(int i)
        {
            if (i % 3 == 0 || i % 5 == 0)
            {
                return 0;
            }

            return i;
        }
    }