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 Java8 (OpenJDK 1.8.0) (judge verdict: Accepted)

    import java.util.*;
	import java.lang.Math;
    public class Main
	{
		public static void main(String args[])
		{
			Scanner scan = new Scanner(System.in);
			int n = scan.nextInt();
			int[] a = new int[n];
			for(int i=0;i<n;i++)
			{
				a[i]=scan.nextInt();
			}
			int max=Integer.MAX_VALUE;
			int temp=0;
			for(int i=1; i<=100; i++)
			{
				temp=0;
				for(int j=0; j<n; j++)
				{
					temp+=(i-a[j])*(i-a[j]);
				}
            max=Math.min(max,temp);
			}
			System.out.println(max);
		}
    }