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 Haskell (GHC 7.10.3) (judge verdict: Wrong Answer)

import Data.List

main = do
  getLine
  li <- getLine
  let xs = map read $ words li
  let ans = compute xs
  print ans

{-
-99 ～ +99 のオフセットで消費する体力の表を作っておき、
全員の分に関して1から100で必要な体力を足し合わせて最小値を得る
-}

cs = rev cs1 (0:cs1)
  where
    cs1 =[k*k | k <- [1..99]]
    rev [] xs = xs
    rev (y:ys) xs = rev ys (y:xs)

compute :: [Int] -> Int
compute xs = minimum $ map sum $ transpose $ map (\x -> take 100 $ drop (99-x) cs) xs