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.Arrays;
import java.util.Scanner;

public class Main {

	public static void main(String[] args) {

		Scanner sc = new Scanner(System.in);

		int N = sc.nextInt();
		int[] X = new int[N];
		for (int i = 0; i < N; i++) {
			X[i] = sc.nextInt();
		}

		int Xsum = Arrays.stream(X).sum();
		int average = Xsum / X.length;
		if((double)Xsum % X.length != 0.0) {

			int[] sums = new int[2];

			for (int i = 0; i < X.length; i++) {
				sums[0] += (X[i]-average) * (X[i]-average);
			}

			int averagePlusOne = average + 1;
			for (int i = 0; i < X.length; i++) {
				sums[1] += (X[i]-averagePlusOne) * (X[i]-averagePlusOne);
			}

			System.out.println(Arrays.stream(sums).min().getAsInt());

		} else {

			int sum = 0;
			for (int i = 0; i < X.length; i++) {
				sum += (X[i]-average) * (X[i]-average);
			}
			System.out.println(sum);
		}
	}
}