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 abc156_c
{
    class Program
    {
        static void Main(string[] args)
        {
            var N = CIn.ReadInt();
            var X = CIn.ReadIntArray(N);
            var min = int.MaxValue;
            
            for(var P = 0; P <= 100; P++)
            {
                var a = 0;
                for(var i = 0; i <= N - 1; i++)
                {
                    
                    a =a + (int)Math.Pow(X[i] - P, 2);
                   
                }
                min = Math.Min(min, a);
            }
            Console.WriteLine(min);
        }
    }
    class CIn
    {
        private static readonly Queue<string> fieldBuffer = new Queue<string>();

        public static string Read()
        {
            if (fieldBuffer.Count == 0)
            {
                foreach (var field in Console.ReadLine().Split())
                {
                    fieldBuffer.Enqueue(field);
                }
            }

            return fieldBuffer.Dequeue();
        }

        public static int ReadInt() => int.Parse(Read());
        public static long ReadLong() => long.Parse(Read());
        public static double ReadDouble() => double.Parse(Read());

        public static string[] ReadStringArray(long n)
        {
            var array = new string[n];

            for (var i = 0; i < n; i++)
            {
                array[i] = Read();
            }

            return array;
        }

        public static int[] ReadIntArray(long n)
        {
            var array = new int[n];

            for (var i = 0; i < n; i++)
            {
                array[i] = ReadInt();
            }

            return array;
        }

        public static long[] ReadLongArray(long n)
        {
            var array = new long[n];

            for (var i = 0; i < n; i++)
            {
                array[i] = ReadLong();
            }

            return array;
        }
        public static double[] ReadDoubleArray(long n)
        {
            var array = new double[n];

            for (var i = 0; i < n; i++)
            {
                array[i] = ReadDouble();
            }

            return array;
        }
    }

}