Find the center of masses of a convex polygon, carved from wood.

Input

Consists of multiple test cases. The first line of each test case contains the number n (n ≤ 100) of points in the polygon. It is followed with n different pairs of integers (in no particular order), denoting the x and y coordinates of each point. The last polygon contains n < 3 points and should not be processed.

Output

For each polygon, print in a single line the coordinates x and y of its center of masses with three decimal digits.