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 C++14 (GCC 5.4.1) (judge verdict: Wrong Answer)

#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
#define INF 1LL<<62
#define inf 1000000007 

int main() {
	ll x1,y1,x2,y2,y3,x3,s;
	cin>>s;
	s=abs(s);
	x1=y1=0;
	x2=sqrt(s);
	y3=(s+x2-1)/x2;
	ll A=x2*y3-s;
	if(A==0){
		x3=y2=0;
			cout << x1<<" "<<y1<< " "<< x2<< " "<<y2 << " "<<x3<< " "<<y3;
		return 0;
	}
	for(int i=1;i<=A;i++){
		ll B=A/i;
		if(B*i==A&&B<=1000000000){
			if(s==abs(x2*y3-x3*y2)){
			x3=i;y2=B;
			break;
			}
			else{
				continue;
			}
		}
	}
	cout << x1<<" "<<y1<< " "<< x2<< " "<<y2 << " "<<x3<< " "<<y3;
	return 0;
}