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;
using System.Text;
using System.Threading.Tasks;

namespace ABC_Training
{
    public class Program
    {
        static void Main(string[] args)
        {
            var n = int.Parse(Console.ReadLine());
            var x = Console.ReadLine().Split(' ').Select(int.Parse).ToArray();
            var xmax = x.Max();
            var xmin = x.Min();
            var RequiredMinHP = x.Sum(tmp => tmp * tmp);
            for(int p = xmin; p <= xmax; p++)
            {
                var RequiredHP = x.Sum(tmp => (tmp - p) * (tmp - p));
                RequiredMinHP = Math.Min(RequiredMinHP, RequiredHP);
            }
            Console.WriteLine(RequiredMinHP);
        }
    }
}