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())
X = list(map(int, input().split()))
X_sum = sum(X)

if X_sum % N == 0:
    div = X_sum // N
    ans = 0
    for i in range(N):
        ans += (X[i] - div) ** 2
    print(ans)
else:
    # print(X_sum / N)
    div_1 = X_sum // N
    ans_1 = 0
    for i in range(N):
        ans_1 += (X[i] - div_1) ** 2

    div_2 = X_sum // N + 1
    ans_2 = 0
    for i in range(N):
        ans_2 += (X[i] - div_2) ** 2
    print(min(ans_1, ans_2))