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;

class Program
{
    static void Main(string[] args)
    {
        var sol = new Solve();
        sol.Exec();
    }
}

class Solve
{
    public void Exec()
    {
        var N = int.Parse(Console.ReadLine());
        var X = Console.ReadLine().Split().Select(int.Parse).ToArray();
        var move = new long[N][];
        for (var i = 0; i < N; i++)
        {
            move[i] = new long[100];
            for (var p = 1; p <= 100; p++)
            {
                move[i][p-1] = (long) Math.Pow(X[i] - p, 2);
            }
        }

        var ans = long.MaxValue;
        for (var i = 1; i <= 100; i++)
        {
            var sum = 0L;
            for (var j = 0; j < N; j++)
            {
                sum += move[j][i - 1];
            }

            ans = Math.Min(ans, sum);
        }

        Console.WriteLine(ans);
    }
}