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 (3.4.3) (judge verdict: Accepted)

n = int(input())
list = list(map(int, input().split()))

sum = 0
for i in list:
  sum += i
average = sum // len(list)


ans1 = 0
ans2 = 0
ans3 = 0
ans4 = 0
ans5 = 0
for i in list:
  ans1 += (i-average+1)*(i-average+2)
  ans2 += (i-average+1)*(i-average+1)
  ans3 += (i-average)*(i-average)
  ans4 += (i-average-1)*(i-average-1)
  ans5 += (i-average-2)*(i-average-2)
answer = min(ans1,min(ans2,min(ans3,min(ans4,ans5))))
print(answer)