Problem Description

Neko have k points on a 2-dimensional plane. And no three points are in a straight line.
Now, Neko want to you to select four different points to form a quadrilateral. Neko want to know the max area and the min area fo this quadrilateral.

Input

The first line contains one integers $n(1 \leq n \leq 2000)$
The next $n$ line, each line contains two integers $x, y(-10^{9} \leq x,y \leq 10^{9})$, means the coordinate of the $i-th$ point.

Output

Output the min area and the max area in one line. For convenience, please output twice the area.

6
1 1
2 2
1 3
4 1
0 -2
3 5

3 27