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: Time Limit Exceeded)

#include<iostream>
#include<string>
#include<vector>
#include<cmath>
#include <algorithm>
#include <functional>

using namespace std;

int main (void){
    int S;
    cin >> S;
    vector<vector<int>> xyz;
    vector<int> temp;
    temp.push_back(0);
    temp.push_back(0);
    xyz.push_back(temp);
    temp[0] = 0;
    temp[1] = 1;
    xyz.push_back(temp);
    temp[0] = 1;
    temp[1] = 0;
    xyz.push_back(temp);
    int A=0;
    int B=0;

    int p,s;
    for(int i = 1;i <= S;i++){
        p = S%i;
        if( p == 0 ){
            s = S/i;
            if(s < 1000000000){
                A = i;
                B = s;
                break;
            }
        }
    }

    if(A != 0 && B != 0){
        cout <<"0 0 " << A << " 0 " << A << " "<< B;
    }





    // for(int i = 0;i < xyz.size();i++){
    //     cout << xyz[i][0] << " "<<xyz[i][1]<< " ";
    // }
    return 0; 
}