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 Python (3.8.2) (judge verdict: Wrong Answer)

n = int(input())
x = list(map(int, input().split()))
x.sort()
mid = x[len(x)//2]
strt = mid
res = 10**7
if strt>n//2:
  strt = n//2
  for i in range(strt,x[-1]):
    tmp = 0
    for j in x:
      tmp += (j-i)**2
    res = min(tmp,res)
else:
  strt = 0
  for i in range(strt,mid):
    tmp = 0
    for j in x:
      tmp += (j-i)**2
    res = min(tmp,res)
print(res)