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 Rust (1.42.0) (judge verdict: Accepted)

use std::fmt::Debug;
fn read_line() -> String {
    let mut buffer = String::new();
    std::io::stdin().read_line(&mut buffer).expect("No Line");
    buffer
}
fn read_value<T: std::str::FromStr>() -> T {
    read_line().trim().parse().ok().unwrap()
}
fn read_values<T: std::str::FromStr>() -> Vec<T> {
    read_line().trim().split(' ').map(|x| x.parse().ok().expect("Can't Parse")).collect::<Vec<T>>()
}
fn read_multi_line<T: std::str::FromStr>(count: usize) -> Vec<T> {
    let mut buffer = String::new();
    let mut vec = Vec::with_capacity(count);
    for i in 0 .. count {
        std::io::stdin().read_line(&mut buffer).expect("No Line");
        vec.push(buffer.parse().ok().expect("Can't Parse"));
    }
    vec
}

macro_rules! ignore {
    ($id:ident) => {};
}
macro_rules! assign {
    (let $($id:ident),* = $value:expr) => {
        let ($($id), *) = {
            let mut iter = $value.into_iter();
            ($({ignore!($id); iter.next().unwrap()}), *)
        }
    };
}
fn inspect<T: Debug>(vec: &Vec<T>) -> () {
    if let Some(first) = vec.first() {
        println!("Vec({:?}", first);
        for i in 1..vec.len() {
            println!(", {:?}", vec[i]);
        }
        println!(")");
    }else {
        println!("Vec()");
    }
}
fn sum(n: i64) -> i64 {
    n * (n + 1) / 2
}
fn main() {
    let n = read_value::<i64>();
    println!("{}", sum(n) - sum(n / 3) * 3 - sum(n / 5) * 5 + sum(n / 15) * 15);
}