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 PyPy3 (7.3.0) (judge verdict: Wrong Answer)

s=int(input())
if s+1<=10**9:
  b=str(s+1)
  a=['0','0',b,'1','1','1']
else:
  x2=int(s**(1/2))
  y3=int(s**(1/2))+1
  if x2*y3<s:
    if y3==10**9:
      x2+=1
    else:
      y3+=1
  x2=str(x2)
  y3=str(y3)
  
  y2=str(1)
  x3=str(int(x2)*int(y3)-s)
  x1=str(0)
  y1=str(0)
  a=[x1,y1,x2,y2,x3,y3]
print((' ').join(a))