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.

3

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.

100

0 0 10 0 0 10

311114770564041497

314159265 358979323 846264338 327950288 419716939 937510582