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 (2.4.0) (judge verdict: Runtime Error)

# -*- coding: utf-8 -*-

def make_divisors(n):
    divisors = []
    data = [i + 1 for i in range(2, int(n**0.5)+1, 1)]
    while True:
        p = data[0]
        if n % p==0:
            divisors.append(p)
            divisors.append(n // p)
            return divisors
        data = [e for e in data if e % p != 0]
    # for i in range(1, int((n**0.5)+1),2):
    #     if n // i <= 1000000000:
    #         if n % i == 0:
    #             divisors.append(i)
    #             if i != n // i:
    #                 divisors.append(n // i)
    #                 return divisors

#     divisors.sort()
    return divisors

def main():
    S = int(input())
    if S == 1:
        print("{} {} {} {} {} {}".format(0,1,1,0,0,0))
        exit()
    if S == 2:
        print("{} {} {} {} {} {}".format(0,1,2,0,0,0))
        exit()
    Est = make_divisors(S)
    Coords = [0]*6
    
    LEN = len(Est)
    Coords[1] = Est[0]
    Coords[2] = Est[1]

    print("0 {} {} 0 0 0".format(Coords[1],Coords[2]))


if __name__ == '__main__':
    main()