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.*;

class Main {
	public static void main(String[] args) {
		Scanner sc = new Scanner(System.in);
		
		int n = Integer.parseInt(sc.next());
		Integer[] array = new Integer[n];
		
		for(int i = 0; i < n; ++i){
		    int tmp = sc.nextInt();
		    array[i] = tmp;
		}
		
		int sum = 0;
		
		Arrays.sort(array);
		
		int mini = 2147483647;
		boolean flag = true;
		
		for(int i = 0; i < n-1; ++i){
		    if(array[i] != array[i+1]) {
		        flag = false;
		        break;
		    }
		    else continue;
		}
		
		if(flag) System.out.println(0);
		else {
		for(int i = array[0] + 1; i < array[n-1]; ++i) {
		    for(int j = 0; j < n; ++j) {
		        int tmp = Math.abs((i-array[j]) * (i - array[j]));
		        sum += tmp;
		        
		    }
		    if(mini > sum) {
		        mini = sum;
		        sum = 0;
		    }
		    else sum = 0;
		}
		
		//System.out.println(array[0]);
		//System.out.println(array[1]);
		
		System.out.println(mini);
		}
	}
}