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 (1.15.1) (judge verdict: Wrong Answer)

#![allow(non_snake_case, unused)]
use std::cmp::*;
use std::collections::*;
use std::f64::consts::*;

macro_rules! input {
    (source = $s:expr, $($r:tt)*) => {
        let mut iter = $s.split_whitespace();
        let mut next = || { iter.next().unwrap() };
        input_inner!{next, $($r)*}
    };
    ($($r:tt)*) => {
        let stdin = std::io::stdin();
        let mut bytes = std::io::Read::bytes(std::io::BufReader::new(stdin.lock()));
        let mut next = move || -> String{
            bytes
                .by_ref()
                .map(|r|r.unwrap() as char)
                .skip_while(|c|c.is_whitespace())
                .take_while(|c|!c.is_whitespace())
                .collect()
        };
        input_inner!{next, $($r)*}
    };
}

macro_rules! input_inner {
    ($next:expr) => {};
    ($next:expr, ) => {};

    ($next:expr, $var:ident : $t:tt $($r:tt)*) => {
        let $var = read_value!($next, $t);
        input_inner!{$next $($r)*}
    };

    ($next:expr, mut $var:ident : $t:tt $($r:tt)*) => {
        let mut $var = read_value!($next, $t);
        input_inner!{$next $($r)*}
    };
}

macro_rules! read_value {
    ($next:expr, ( $($t:tt),* )) => {
        ( $(read_value!($next, $t)),* )
    };

    ($next:expr, [ $t:tt ; $len:expr ]) => {
        (0..$len).map(|_| read_value!($next, $t)).collect::<Vec<_>>()
    };

    ($next:expr, [ $t:tt ]) => {
        {
            let len = read_value!($next, usize);
            (0..len).map(|_| read_value!($next, $t)).collect::<Vec<_>>()
        }
    };

    ($next:expr, chars) => {
        read_value!($next, String).chars().collect::<Vec<char>>()
    };

    ($next:expr, bytes) => {
        read_value!($next, String).into_bytes()
    };

    ($next:expr, usize1) => {
        read_value!($next, usize) - 1
    };

    ($next:expr, $t:ty) => {
        $next().parse::<$t>().expect("Parse error")
    };
}

fn prime_factor(mut n: i64) -> HashMap<i64, i64> {
    let mut res: HashMap<i64, i64> = HashMap::new();
    let mut i = 2;
    while i * i <= n {
        while n % i == 0 {
            let v = match res.get(&i) {
                Some(v) => *v + 1,
                None => 1,
            };
            res.insert(i, v);
            n /= i;
        }
        i += 1;
    }
    if n != 1 {
        res.insert(n, 1);
    }
    res
}

fn main() {
    input!{
        s: i64,
    }

    let mut s_ = (s as f64).sqrt();

    
    let mut x_1 = 0;
    let mut y_1 = 0;
    let mut x_2 = (s_ as i64);
    let mut y_3 = (s_ as i64);


    let diff = -1 * (s - (x_2 * y_3));
    let mut x_3 = 0i64;
    let mut y_2 = 0i64;

    if diff != 0 {
        x_3 += 1;
        y_2 += 1;

        let mut diff_ = diff.clone().abs() as f64;
        let mut digit = 0;
        while diff_.abs() >= 1.0 {
            diff_ /= 10.0;
            digit += 1;
        }
        diff_ = diff.clone() as f64;
        let mut acc = 2.0;
        let mut prod = vec![];
    
        while diff_.abs() > 1.0 {
            if diff_ % acc == 0.0 {
                prod.push(acc);
                diff_ /= acc;
            } else {
                acc += 1.0;
            }
        }

        for i in 0..prod.len() / 2 {
            x_3 *= prod[i] as i64;
            y_2 *= prod[i + prod.len() / 2] as i64;
            }
        if diff_ < 0.0 {
            x_3 *= -1
        }
    }


    if x_3 < 0 {
        x_1 += x_3.abs();
        x_2 += x_3.abs();
        x_3 = 0;
    }
    if y_2 < 0 {
        y_1 += y_2.abs();
        y_3 += y_2.abs();
        y_2 = 0;
    }

    println!("{} {} {} {} {} {}", x_1, y_1, x_2, y_2, x_3, y_3);
    
}