Problem:
Score : 300 points

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.

Sample Input 1

2
1 4

Sample Output 1

5

Assume the meeting is held at coordinate 2. In this case, the first person will spend (1 - 2)^2 points of stamina, and the second person will spend (4 - 2)^2 = 4 points of stamina, for a total of 5 points of stamina. This is the minimum total stamina that the 2 people have to spend.

Note that you can hold the meeting only at an integer coordinate.

Sample Input 2

7
14 14 2 13 56 2 37

Sample Output 2

2354

Solution in JavaScript (node.js v5.12) (judge verdict: Accepted)

(function Main(input){
	var input  = input.split('\n'),
		X      = input[1].split(' ').map(Number),
		result = 0,
		avg    = function(data){
			var sum = 0,
				len = data.length;

			for(var i=0; i<len; i++){
				sum += data[i];
			}
			return Math.round(sum / len);
		}(X);
	
	for(var i=0; i<X.length; i++){
		result += Math.pow(X[i]-avg, 2);
	}
	console.log(result);
})(require("fs").readFileSync("/dev/stdin","utf8"));