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 Python (3.4.3) (judge verdict: Accepted)

S = int(input())
r = int(S**(1/2))
d = S-r**2

X1 = r
Y1 = 0
X2 = 0

Y2_tmp = r - ((r+1)**2 - r**2 - (d+1))

if d == 0:
    Y2 = r
elif Y2_tmp < 1:
    Y2 = 1
else:
    Y2 = r - ((r+1)**2 - r**2 - (d+1))


if d == 0:
    Y3 = r
else:
    Y3 = r+1


if d == 0:
    X3 = r
elif d < r+1:
    X3 = d
else:
    X3 = r+1

print(X1, Y1, X2, Y2, X3, Y3)