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: Wrong Answer)

using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;

namespace ABC156
{
    class Program
    {
        static void Main(string[] args)
        {
            c();
        }
        
        public static void c()
        {
            int n = int.Parse(Console.ReadLine());
            int[] x = Console.ReadLine().Split(' ').Select(int.Parse).ToArray();
            Array.Sort(x);
            Array.Reverse(x);
            int max = x[0];
            //Console.Write(max);
            double sum = 1000000000;
            for(int i = 1; i < max ; i++)
            {
                double y = 0;
                for(int j = 1; j < n+ 1; j++)
                {
                    double a = Math.Pow(x[j - 1] - i, 2);
                    y += a;
                }
                //Console.WriteLine(y);
                sum = Math.Min(sum, y);
                //Console.WriteLine(sum);
            }
            Console.WriteLine(sum);
        }
    }
}