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: Runtime Error)

import java.util.*;
public class Main {
  public static void main(String[] args) {
    Scanner sc = new Scanner(System.in);

    int N = sc.nextInt();
    int max = 0;
    int min = 100;
    int[] X = new int[N];
    for (int i = 0; i < N; i++) {
      X[i] = sc.nextInt();
      if (X[i] > max) {
        max = X[i];
      }
      if (X[i] < min) {
        min = X[i];
      }
    }
    int[] sum = new int[max-min];
    for (int i = 0; i < N; i++) {
      for (int P = 0; P <= max-min+1; P++) {
        sum[P] += ((P+min) - X[i]) * ((P+min) - X[i]);
      }
    }
    Arrays.sort(sum);
    System.out.println(sum[0]);

  }
}