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: Wrong Answer)

fn main() {
	proconio::input!(mut s: i64);

	let sqrt = (s as f64).sqrt().ceil() as i64;

	let mut a = 1;
	let mut b = 1;

	let mut primes = Vec::new();

	let mut i = 2;
	while i <= sqrt && s > 1 {
		if primes.iter().all(|p| i % p != 0 ) {
			primes.push(i);

			while s % i == 0 {
				s /= i;
				if a > b {
					b *= i;
				} else {
					a *= i;
				}
			}
		}
		i += 1;
	}

	println!("0 0 0 {} {} 0", a, b);
}