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# (.NET Core 3.1.201) (judge verdict: Accepted)

using System;
using System.Linq;

namespace AtCoderPractice0704
{
    class MainClass
    {
        public static void Main(string[] args)
        {
            long N = int.Parse(Console.ReadLine());
            long[] X = Console.ReadLine().Split(' ').Select(a => long.Parse(a)).ToArray();

            long Xmin = X.ToList().Min();
            long Xmax = X.ToList().Max();


            long minsouwa = 0;
            //体力の総和を出す
            for (var p = Xmin; p <= Xmax; p++)
            {
                long souwa = 0;
                for (var i = 0; i < N; i++)
                {
                    souwa += (X[i] - p) * (X[i] - p);
                }
                if (p == Xmin)
                {
                    minsouwa = souwa;
                    continue;
                }
                if (minsouwa >= souwa)
                {
                    minsouwa = souwa;
                }
            }
            Console.WriteLine(minsouwa);
        }
    }
}