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;

class Program
{
    static void Main(string[] args)
    {
        var num = int.Parse(Console.ReadLine());
        var people = Console.ReadLine().Split(' ');

        var resultNum = 0;
        var resultSum = int.MaxValue;


        for (var i = 1; i < 101; i++)
        {
            var sum = 0;
            for(var j = 0; j < num ; j++) 
            { 
                var person = int.Parse(people[j]);
                sum += (person - i) * (person - i);
            }

            if(sum < resultSum)
            {
                resultNum = i;
                resultSum = sum;
            }

        }

        Console.WriteLine(resultSum
            );
        Console.ReadLine();

    }
}