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)

#![allow(unused_imports)]
#![allow(unused_macros)]
#![allow(dead_code)]
use std::cmp;
use std::collections::{BTreeMap, BTreeSet, BinaryHeap, HashMap, HashSet, VecDeque};
use std::io::{self, stdin, BufRead};
use std::str::FromStr;

fn read_one<T>() -> T
where
    T: FromStr,
    <T as std::str::FromStr>::Err: std::fmt::Debug,
{
    let stdin = stdin();
    let mut handle = stdin.lock();
    let mut buf = String::new();
    handle.read_line(&mut buf).unwrap();

    buf.trim().parse::<T>().unwrap()
}

macro_rules! read_tuple {
    ( $( $t:ty ), * ) => {
        {
            let stdin = stdin();
            let mut handle = stdin.lock();
            let mut buf = String::new();
            handle.read_line(&mut buf).unwrap();
            let mut v = buf.trim().split_whitespace()
                .collect::<VecDeque<&str>>();
            (
                $({
                    v.pop_front().unwrap().parse::<$t>().unwrap()
                },)*
            )
        }
    }
}

fn read_vec<T>() -> Vec<T>
where
    T: FromStr,
    <T as std::str::FromStr>::Err: std::fmt::Debug,
{
    let stdin = stdin();
    let mut handle = stdin.lock();
    let mut buf = String::new();
    handle.read_line(&mut buf).unwrap();

    buf.trim()
        .split_whitespace()
        .map(|s| s.parse::<T>().unwrap())
        .collect::<Vec<T>>()
}

fn main() -> io::Result<()> {
    let mut n = read_one::<i32>();
    let mut sum: i64 = 0;
    for i in (1..n + 1) {
        if i % 3 != 0 && i % 5 != 0 {
            sum += i as i64;
        }
    }
    println!("{}", sum);
    return Ok(());
}