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: Runtime Error)

#include<iostream>
#include<string>
#include<vector>
#include<algorithm>
#include<bits/stdc++.h>
#include<cmath>
#include<bitset>
#define ll long long
#define FOR(i,a,b) for(int i=(a);i<(b);++i)
#define FFOR(i,a,b) for(int i=(a);i<=(b);++i)
#define REP(i,n)  FOR(i,0,n)
#define RREP(i,n)  FFOR(i,0,n)
#define SORT(V) sort((V).begin(),(V).end())
#define INF ((1LL<<62)-(1LL<<31))
#define MOD 1000000007
using namespace std;

int main(){
  ll S;
  cin>>S;
  ll X,Y,XX,YY,t;
  XX=sqrt(S)+1;
  Y=XX;
  t=XX*Y-S;
  for(int i=0; i<=t; ++i){
    if(t%i==0){
      X=t/i;
      YY=i;
      if(X*YY!=Y*XX){
        break;
      }
    }
  }
  
  
  cout<<X<<" "<<Y<<" "<<XX<<" "<<YY<<" "<<0<<" "<<0<<endl;
}