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 C# (Mono 4.6.2.0) (judge verdict: Accepted)

using System;
using System.Collections.Generic;
using System.Linq;

class Program
{
	static void Main(string[] args)
	{
		var a = int.Parse(Console.ReadLine());
		var input = Console.ReadLine().Split().Select(int.Parse).ToArray();
		Array.Sort(input);

		var last = input[input.Length - 1];
		var ans = int.MaxValue;
		for (var i = 0; i <= last; i++)
		{
			ans = Math.Min(ans, Sum(i, input));
		}

		System.Console.WriteLine(ans);
	}

	public static int Sum(int middle, int[] input)
	{
		var ans = 0;
		foreach (var a in input)
		{
			ans += Math.Abs(a - middle) * Math.Abs(a - middle);
		}
		return ans;
	}
}