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 Ruby (2.3.3) (judge verdict: Runtime Error)

N = gets.to_i
peoples = gets.split.map(&:to_i)
sum_minus, sum, sum_plus = 0, 0, 0
mid = (peoples.sum / peoples.length)
#mid = (peoples.max + peoples.min) / 2
mid_minus = mid - 1
mid_plus = mid + 1

peoples.each { |p|
  sum_plus += (p - mid_plus) ** 2
  sum_minus += (p - mid_minus) ** 2
  sum += (p - mid) ** 2
}

puts [sum_plus, sum,sum_minus].min