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.ArrayList;
import java.util.List;
import java.util.Scanner;

//public class atcoder0221_C{
public class Main{
	public static void main(String args[]){
		Scanner scan = new Scanner(System.in);
		int N = scan.nextInt();
		List<Integer> X = new ArrayList<Integer>();
		for(int i=0;i<N;i++) {
			X.add(scan.nextInt());
		}

		int i = 0;
		int sum = 0;
		for(int tmp:X) {
			sum = sum+tmp;
			i++;
		}

		int av = sum/i;
		int av2 = av;

		if(sum%i>0) {
			av2 = av++;
		}
		int result = 0;
		int result2 = 0;

		if(i>1) {
			for(int tmp2:X) {
				result=result+(tmp2-av)*(tmp2-av);
			}

			for(int tmp3:X) {
				result2=result2+(tmp3-av2)*(tmp3-av2);
			}
			if(result>result2) {
				result = result2;
			}
			if(result==0) {
				result = av;
			}
		}else {
			result=av;
		}
		System.out.println(result);
	}
}