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 atcoder
{
    class Program
    {
        static void Main(string[] args)
        {
            var line_input_one = System.Console.ReadLine();
            var line_input_two = System.Console.ReadLine();
            var split = line_input_two.Split(' ');
            var x = new int[split.Length];
            for(int i = 0; i < x.Length; i++)
            {
                x[i] = int.Parse(split[i]);
            }
            float avr = 0f;
            foreach(var xi in x)
            {
                avr += xi;
            }
            avr /= x.Length;
            var rouded = Math.Round(avr);
            double stsum = 0;
            foreach(var xi in x)
            {
                stsum += (xi - rouded) * (xi - rouded);
            }
            int result = (int)stsum;

            System.Console.WriteLine(result);
            System.Console.ReadLine();
        }
    }
}