Problem:
Score : 400 points

Problem Statement

Given is an integer S.
Find a combination of six integers X_1,Y_1,X_2,Y_2,X_3, and Y_3 that satisfies all of the following conditions:

0 \leq X_1,Y_1,X_2,Y_2,X_3,Y_3 \leq 10^9

The area of the triangle in a two-dimensional plane whose vertices are (X_1,Y_1),(X_2,Y_2), and (X_3,Y_3) is S/2.

We can prove that there always exist six integers that satisfy the conditions under the constraints of this problem.

Constraints

1 \leq S \leq 10^{18}

All values in input are integers.

Input

Input is given from Standard Input in the following format:

S

Output

Print six integers X_1,Y_1,X_2,Y_2,X_3, and Y_3 that satisfy the conditions, in this order, with spaces in between.
If multiple solutions exist, any of them will be accepted.

Sample Input 1

3

Sample Output 1

1 0 2 2 0 1

The area of the triangle in a two-dimensional plane whose vertices are (1,0),(2,2), and (0,1) is 3/2.
Printing 3 0 3 1 0 1 or 1 0 0 1 2 2 will also be accepted.

Sample Input 2

100

Sample Output 2

0 0 10 0 0 10

Sample Input 3

311114770564041497

Sample Output 3

314159265 358979323 846264338 327950288 419716939 937510582

Solution in Rust (1.42.0) (judge verdict: Accepted)

use std::io::Read;

fn main() {
    let mut buf = String::new();
    std::io::stdin().read_to_string(&mut buf).unwrap();

    let answer = solve(&buf);

    println!("{}", answer);
}

fn solve(input: &str) -> String {
    let mut iterator = input.split_whitespace();

    let s: usize = iterator.next().unwrap().parse().unwrap();

    let mut ok: isize = 1_000_000_000;
    let mut ng: isize = 0;
    while (ok - ng).abs() > 1 {
        let mid = (ok + ng) / 2;
        if mid * mid >= s as isize {
            ok = mid;
        } else {
            ng = mid;
        }
    }
    let w: usize = ok as usize;
    let h: usize = if w * (w - 1) >= s {
        w - 1
    } else {
        w
    };

    let mut x1: usize = w;
    let y1: usize = 0;
    let x2: usize = 0;
    let mut y2: usize = 0;
    let x3 = w;
    let y3 = h;

    let mut current = w * h;
    if current == s {
        return format!("{} {} {} {} {} {}", x1, y1, x2, y2, x3, y3);
    }

    x1 -= 1;
    current -= h;
    y2 = s - current;

    return format!("{} {} {} {} {} {}", x1, y1, x2, y2, x3, y3);
}