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.*;

public class Main {
    public static void main(String[] args) throws Exception {
        // Your code here!
        Scanner sc = new Scanner(System.in);
        int num = sc.nextInt();
        int x[] = new int[num];
        int p = 0;
        for(int i = 0; i<num; i++){
            x[i] = sc.nextInt();
            p = p + x[i];
        }
        int ans1 = 0;
        int ans2 = 0;
        int ans = 0;
        p = p / num;
        
        for(int i = 0; i<num; i++){
            ans1 = ans1 + (x[i] - p) * (x[i] - p);
        }
        
        p++;
        
        for(int i = 0; i<num; i++){
            ans2 = ans2 + (x[i] - p) * (x[i] - p);
        }
        
        if(ans1 < ans2){
            ans = ans1;
        }else{
            ans = ans2;
        }
        
        System.out.println(ans);
    }
}