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 JavaScript (Node.js 12.16.1) (judge verdict: Accepted)

const input = require("fs").readFileSync("/dev/stdin", "utf8")

;(input => {
 
    const lines = input.split('\n')
    const N = lines[0] - 0

    const f = n => n * (n + 1) / 2
    let s = 0
    s = f(N)
    s -= f(Math.floor(N / 3)) * 3
    s -= f(Math.floor(N / 5)) * 5
    s += f(Math.floor(N / 15)) * 15

    console.log(s)

})(input)