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 Kotlin (1.0.0) (judge verdict: Accepted)

import java.lang.Math

fun main(args: Array<String>){
    val s = readLine()!!.toLong()
    var route = java.lang.Math.sqrt(s.toDouble())
    var top = java.lang.Math.ceil(route).toLong()
    //var route = kotlin.math.sqrt(s.toDouble())
    //var top = kotlin.math.ceil(route).toLong()

    val square: Long = top*top

            //println("square:$square, top:$top ")
    val jp9 = 1000000000 //10^9

    var n: Long = square - s
    var ax: Long = 0
    var ay: Long = 0
    val zero: Long = 0

    for(i in 1..1000000000){
        val ilong: Long = i.toLong()
        if(n % ilong == zero){
            ax = ilong
            ay = n / ax
            //println("ax:$ax, ay:$ay")
            if(ax <= jp9 && ay <= jp9){
               // println("ok")
                break
            }
        }
    }

    //println("x1:$ax,y1:$top,x2:$top y2:$ay")
    println("0 0 $ax $top $top $ay")


}

fun gcd(a: Int, b: Int): Int = if(a < b) gcd(b, a) else if(b == 0) a else gcd(b, a % b)
fun lcm(a: Int, b: Int): Int = (a * b) / gcd(a, b)