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 PHP7 (7.0.15) (judge verdict: Wrong Answer)

<?php

function prime_factors(int $n) : array {
    $i = 2;
    $factors = [];
    while ($i * $i <= $n) {
        if ($n % $i) $i += 1;
        else {
            $n /= $i;
            $factors[] = $i;
        }
    }
    if ($n > 1) $factors[] = $n;
    return $factors;
}
fscanf(STDIN, "%d", $input);
$ceil = (int)ceil(pow($input,0.5));

if($ceil > 100) {
    $sa = (int)($ceil * (int)($ceil - 10));
    $sa2 = $sa - $input;
    $sa3 = $sa2 + ($ceil * 10);
}else{
    $sa3 = (int)($ceil * $ceil - $input);
}
$list = prime_factors($sa3);
$count = count($list);
$ans1 = 1;
$ans2 = 1;
if($count > 1){
    for($i = 0; $i<$count; $i++){
        if($i < intdiv($count, 2)){
            $ans1 = $ans1 * $list[$i];
        }else{
            $ans2 = $ans2 * $list[$i];
        }


    }
}else{
    if(isset($list[0])) {
        $ans1 = $list[0];
    }else{
        $ans1 = 1;
    }
}

echo "0 0 ".$ceil. " ". $ans1. " ".$ans2. " ". $ceil;