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 Fortran (GNU Fortran 9.2.1) (judge verdict: Accepted)

program rally
    implicit none
    integer n, i
    integer :: ansgt = 0, anslt = 0, ans = 0, sum = 0
    integer :: avelt = 0, avegt = 0, ave = 0, amari = 0
    integer,allocatable :: x(:)
    read *, n
    allocate(x(n))
    read *, x(:n)
    do i = 1, n
        sum = sum + x(i)
    end do
    amari = mod(sum, n)
    if(amari == 0)then
        ave = sum / n
        do i = 1, n
            ans = ans + (x(i) - ave)**2
        end do
        print *, ans
    else
        ave = sum / n
        avegt = ave + 1
        avelt = ave
        do i = 1, n
            ansgt = ansgt + (x(i) - avegt)**2
            anslt = anslt + (x(i) - avelt)**2
        end do
        if(ansgt < anslt)then
            print *, ansgt
        else
            print *, anslt
        end if
    end if
end program