Problem J
Joining Points

You have $N$ points on a Cartesian coordinate plane. The $i$-th point is located at $(X_ i, Y_ i)$, where $X_ i$ and $Y_ i$ are integers.

As a competitive programmer, you hate non-rectilinear geometrical objects. Therefore, you wish to connect all the points such that the resulting shape is a square, whose sides are either horizontal or vertical. All of the points must lie on the border of the square (inclusive of its vertices). Degenerate squares (i.e. squares with zero area) are allowed.

Can you find any such square, or report if it is impossible to do so?

Input

The first line of input contains an integer $N$ $(1 \leq N \leq 10^5)$, the number of points.

The next $N$ lines each contains two integers $X_ i$ and $Y_ i$ $(-10^8 \leq X_ i, Y_ i \leq 10^8)$, the coordinates of the $i$-th point.

Output

If it is impossible to connect all the points such that the resulting shape is a square, output Impossible.

Otherwise, output four integers $X_1$, $X_2$, $Y_1$, and $Y_2$, the coordinates of two opposite corners of the square. The four integers must satisfy $-10^9 \leq X_1 \leq X_2 \leq 10^9$ and $-10^9 \leq Y_1 \leq Y_2 \leq 10^9$.

If there are multiple valid answers, you may output any of them. It can be proven that if a solution exists, there will be at least one solution that satisfies the constraints.

3
7 6
2 4
4 0

2 8 0 6

4
2 6
8 8
10 2
3 3

Impossible