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: Time Limit Exceeded)

<?php

while ($line = fgets(STDIN)) {
    $tmp[] = trim($line);
}
$menseki = (float)$tmp[0];
$sqrt = sqrt($menseki);

if ($menseki % 2) {
    $x = 1;
    $y = $menseki;
} else {
    $x = 2;
    $y = $menseki / 2;
}

if(is_decimal($sqrt)){
    $x = $sqrt;
    $y = $sqrt;
}else{
    $limit = $sqrt / 2;
    for ($i = 3; $i < $limit; $i += 2) {
        if ($menseki % $i == 0) {
            $x = $i;
            $y = $menseki / $i;
        }
    }
}
echo "0 0 " . $x . " 0 0 " . $y;

function is_decimal($value) {
    return filter_var($value, FILTER_VALIDATE_INT) !== false;
}