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.io.BufferedReader;
import java.io.IOException;
//import java.io.InputStreamReader;
import java.util.ArrayList;
import java.util.List;
import java.util.Scanner;

public class Main {

	public static void main(String[] args) throws IOException {

		//		BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
		Scanner scan = new Scanner(System.in);

		int n;

		int sowa = 0;

		int shukai_p_point;
		int min_p_point;

		n = scan.nextInt();

		List<Integer> list = new ArrayList<>();

		for (int i = 0; i < n; i++) {
			list.add(scan.nextInt());
		}

		//最大座標の取得
		shukai_p_point = list.stream().max(Integer::compareTo).get();
		//最小座標の取得
		min_p_point = list.stream().min(Integer::compareTo).get();

		//中間地点
		int half_p_point;
		half_p_point = (shukai_p_point - min_p_point) / 2;

		//総和の計算
		for (int i = 0; i < list.size(); i++) {
			sowa += (list.get(i) - half_p_point) * (list.get(i) - half_p_point);
		}

		System.out.println(sowa);

	}

}