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: Time Limit Exceeded)

s = int(input())

x1, y1, x2, y2, x3, y3 = 0, 0, 0, 0, 0, 0

while True:
    if s >= 10e9:
        for i in range(int(s**0.5), 0, -1):
            if s % i == 0 and i <= 10e9 and s / i <= 10e9:
                x2 = i - x1
                y3 = s//i - y1
                break
    else:
        for i in range(1, int(s**0.5) + 1):
            if s % i == 0 and i <= 10e9 and s / i <= 10e9:
                x2 = i - x1
                y3 = s//i - y1
                break

    if x2 == 0 and y3 == 0:
        x1 += 1
        y1 += 1
        continue
    break

print(x1, y1, x2, y2, x3, y3)