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;

#define ll long long
ll MOD = 1e9 + 7;
int INF = 1 << 30;
ll INFL = 1LL << 60;

int main() {
    ll S;
    cin >> S;
    ll X,XX,XXX,Y,YY,YYY;
    
    if(S <= 1e9){
    X = 0;
    Y = 0;
    XX = 1;
    YY = 1;
    XXX = S;
    YYY = 0;
    cout << X << " " << Y << " " <<  XX << " " << YY << " "<< XXX << " "<< YYY <<endl;
    }
    else {
    for(ll i=1e8;;i--){
        if(S%i==0){
            XXX = i;
            break;
        }
    }
    X = 0;
    Y = 0;
    XX = 1;
    YY = S/XXX;
    YYY = 0;
    cout << X << " " << Y << " " <<  XX << " " << YY << " "<< XXX << " "<< YYY <<endl;
    }
    }