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.Linq;
using System.Collections.Generic;

public class AtCoderC
{
    static void Main()
    {
        int n = int.Parse(Console.ReadLine());

        int[] xs = new int[n];
        {
            var line = Console.ReadLine();
            var words = line.Split(' ');
            for (int i = 0; i < n; i++)
            {
                xs[i] = int.Parse(words[i]);
            }
        }

        int answer = int.MaxValue;
        for (int i = 1; i < 100; i++)
        {
            int sum = 0;
            for (int j = 0; j < n; j++)
            {
                sum += (xs[j] - i) * (xs[j] - i);
            }
            answer = Math.Min(answer, sum);
        }

        Console.WriteLine(answer);
    }
}