Problem Statement

There are $N$ people living on a number line.

The $i$-th person lives at coordinate $X_i$.

You are going to hold a meeting that all $N$ people have to attend.

The meeting can be held at any integer coordinate. If you choose to hold the meeting at coordinate $P$, the $i$-th person will spend $(X_i - P)^2$ points of stamina to attend the meeting.

Find the minimum total points of stamina the $N$ people have to spend.

Constraints

• All values in input are integers.
• $1 \leq N \leq 100$
• $1 \leq X_i \leq 100$

Input

Input is given from Standard Input in the following format:

N
X_1 X_2 ... X_N

Output

Print the minimum total stamina the $N$ people have to spend.