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.Collections.Generic;
using System.Linq;

public class Hello
{
    public static void Main()
    {
        hoge();
        System.Console.ReadLine();
    }

    public static void hoge()
    {
        var line = System.Console.ReadLine().Split(' ').Select(x => long.Parse(x)).ToArray();
        var n = line[0];

        var xs = System.Console.ReadLine().Split(' ').Select(x => long.Parse(x)).ToArray();

        List<long> lst = new List<long>();

        var min = long.MaxValue;
        for (long i = 0; i < 100; i++)
        {
            long sum = 0;
            for (long j = 0; j < n; j++)
            {
                sum += (xs[j] - (i + 1)) * (xs[j] - (i + 1));
            }
            min = sum < min ? sum : min;
        }
        System.Console.WriteLine(min);
    }

}