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 PHP7 (7.0.15) (judge verdict: Wrong Answer)

<?php
fscanf(STDIN, "%d", $n);
$inputs = array_map('intval', explode(' ', trim(fgets(STDIN))));
$max = max($inputs);
$min = min($inputs);

$decs = [];
for ($i = 1; $max > $i; $i++) {
    $tmp = 0;
    foreach ($inputs as $input) {
        $x = $input - $i;
        $y = pow($x, 2);
        #echo join(", ", [$input, $i, $n, $x, $y]) . "\n";
        $tmp += $y;
    }
    #echo "=" . $tmp . "\n";
    $decs[] = $tmp;
}
#echo join(",", $decs) . "\n";
echo min($decs);