L. Minimum Enclosing Rectangle
time limit per test
2 seconds
memory limit per test
256 megabytes
input
standard input
output
standard output
Geometry is excit'ment
— Abd, Abd's Geometry Lectures

You are given $$$N$$$ points on a 2D plane, what is the minimum area of a rectangle that covers all the points and one of its sides is parallel to the x-axis and the other to the y-axis.

Input

The first line contains one integer $$$n$$$ $$$(1 \leq n \leq 54321)$$$.

The next lines each contains two numbers $$$x$$$ and $$$y$$$ $$$(-10^9 \leq x, y \leq 10^9)$$$.

Output

Print a single number, the area of the rectangle.

Your answer is considered correct if its absolute or relative error doesn't exceed $$$10^{-6}$$$. Namely, if your answer is $$$a$$$, and the jury's answer is $$$b$$$, then your answer is accepted, if $$$\frac{|a - b|}{max(1, |b|)} \leq 10^{-6}$$$.

Examples
Input
3
1.0 2.0
-1.0 -1.0
-2.0 2.0
Output
9.000000
Input
4
1.000000 1.000000
1.000000 1.500000
1.500000 1.000000
1.500000 1.500000
Output
0.250000