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: Wrong Answer)

import java.util.Scanner;

public class Main {

    public static void main(String[] args) {
        Scanner sc = new Scanner(System.in);
        int n = Integer.parseInt( sc.nextLine() );
        String[] params = sc.nextLine().split(" " );
        int[] xs = new int[n];
        int minPos = 100;
        int maxPos = 0;
        for( int i = 0 ; i < n ; i++ ){
            xs[i] = Integer.parseInt( params[i] );
            if( xs[i] < minPos ){
                minPos = xs[i];
            }
            if( maxPos < xs[i] ){
                maxPos = xs[i];
            }
        }

        int minHp = 10000000;
        for( int i = minPos ; i < maxPos ; i++ ){
            int hpTotal = 0;
            for( int j = 0 ; j < n ; j++ ){
                hpTotal += ( xs[j] - i ) * ( xs[j] - i );
            }
            if( hpTotal < minHp ){
                minHp = hpTotal;
            }
        }

        System.out.println( minHp );

    }


}