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# (Mono-csc 3.5.0) (judge verdict: Accepted)

using System;
using System.Collections.Generic;
using System.Linq;
using System.IO;
static class Program
{
	static int[] ReadInts(this TextReader reader) => reader.ReadLine().Split(' ').Select(s => int.Parse(s)).ToArray();
	static IEnumerable<int[]> ReadInts(this TextReader reader, int count)
	{
		for (long i = 0; i < count; ++i)
			yield return reader.ReadInts();
	}

	static IEnumerable<long[]> ReadLongs(this TextReader reader, long count)
	{
		for (long i = 0; i < count; ++i)
			yield return reader.ReadLine().Split(' ').Select(s => long.Parse(s)).ToArray();
	}

	public static void Main(string[] args)
	{
		var input = Console.In.ReadInts()[0];
		var sum = 0L;
		for (var i = 1; i <= input; ++i)
		if (i%3 > 0 && i%5 > 0) sum += i;
		Console.WriteLine(sum);
	}
}