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 PHP (7.4.4) (judge verdict: Accepted)

<?php
    
    $N = intval(trim(fgets(STDIN)));
    
    $X_array = array_map('intval',explode(" ",trim(fgets(STDIN))));
    
    $sum=INF;
    //位置$Zで総会を行うとする。
    for($X=1;$X<=100;$X++){
        $ans=0;
        for($i=0;$i<count($X_array);$i++){
            $ans = $ans + ($X_array[$i]-$X)**2;
        }
        
        if($sum>$ans){
            $sum=$ans;
        }
    }
    echo $sum."\n";
?>