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
$n = int();
$sqrtN = sqrt($n);
$a = floor($sqrtN);
$d = floor($sqrtN);
$left = $n - $a*$d;
if($left == 0){
  $b = 0;
  $c = 0;
}else{
  $b = 1;
  $c = $left;
}
$a-=10**9;
$b-=10**9;
$c-=10**9;
$d-=10**9;
$x =-10**9;
$y =-10**9;
echo "$x $y $a $b $c $d";


function factor($M){
    $f = [];
    $rootM = $M**0.5+1;
    for($j = 2; $j <= $rootM; $j++){
        if($M%$j == 0){
            $f[] = $j;
            $M/=$j;
            $rootM = $M**0.5+1;
            $j--;
        }
    }
    if($M>1){
        $f[] = $M;
    }
    return $f;
}


function str(){
  return trim(fgets(STDIN));
}
function ints(){
  return array_map("intval", explode(" ", trim(fgets(STDIN))));
}
function int(){
  return intval(trim(fgets(STDIN)));
}