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;

class Code_01
{

    public static void Main()
    {
        string Num = Console.ReadLine();
        int N = int.Parse(Num);
        string Datas = Console.ReadLine();
        int SUM = 0;
        int VariableSum = 0;
        for (int i = 0; i < N; i++)
        {
            int J = int.Parse(Datas.Split(' ')[i]);
            SUM += (int)Math.Pow(J, 2);
            VariableSum += J;
        }
        int X = 0;
        int ANS = 0;
        int ANS2 = 0;
        int End = 0;
        while (true)
        {
            ANS =N *(int)Math.Pow(X, 2) - 2 * X * VariableSum;
           // Console.WriteLine(ANS);
            ANS2 = N*(int)Math.Pow(X + 1, 2) - 2 * (X + 1) * VariableSum;
            if (ANS2 >= ANS)
            {
                End = X;
                break;
            }
            X++;

        }

    //    Console.WriteLine(SUM);
        SUM +=N* (int)Math.Pow(End, 2)  -2 * End * VariableSum;
        Console.WriteLine(SUM);
    }
}