Minimum Area Bounding Box

Determine the minimum area of a rectangle that can enclose the given points.

Input

The first line provides the number of points, N (1 ≤ N ≤ 40000). Each of the next N lines contains the coordinates of a point. All coordinates are integers, and their absolute values do not exceed 10^8.

Output

Output the area of the rectangle as an irreducible fraction in the form x/y.

Examples