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: Wrong Answer)

from bisect import bisect_left
from math import sqrt
S = int(input())
inf = 10**9
for X in range(max(0, int(sqrt(max(0, S-10**10)))), int(sqrt(S))+1):
    Y = S-X*X
    for i in range(1, int(sqrt(Y)+1)):
        if Y % i == 0 and 0 <= Y//i <= inf:
            if abs(X*X-Y) == S:
                print(0, 0, i, X, X, Y//i)
                quit()
for X in range(int(sqrt(S)), int(sqrt(S+10**10))):
    Y = X*X-S
    for i in range(1, int(sqrt(max(0,Y))+1)):
        if Y % i == 0 and 0 <= Y//i <= inf:
            if abs(X*X-Y) == S:
                print(0, 0, i, X, X, Y//i)
                quit()
# for i in range(1, x+1)[::-1]:
#     if S % i == 0:
#         x1 = y1 = i
#         x2 = y2 = S//i
#         y2 *= -1
#         if (x1 % 2 == 0 or y2 % 2 == 0) and (x2 % 2 == 0 or y1 % 2 == 0):
#             if x1 % 2 == 0:
#                 x1 //= 2
#             else:
#                 y1 //= 2
#             if x2 % 2 == 0:
#                 x2 //= 2
#             else:
#                 y2 //= 2
#             break
# print(0, 0, x1, y1, x2, y2)
# print(abs(x1*y2-y1*x2))