Problem:
Score : 200 points

Problem Statement

You are given an integer sequence A of length N.
Find the maximum absolute difference of two elements (with different indices) in A.

Constraints

2 \leq N \leq 100

1 \leq A_i \leq 10^9

All values in input are integers.

Input

Input is given from Standard Input in the following format:

N
A_1 A_2 ... A_N

Output

Print the maximum absolute difference of two elements (with different indices) in A.

Sample Input 1

4
1 4 6 3

Sample Output 1

5

The maximum absolute difference of two elements is A_3-A_1=6-1=5.

Sample Input 2

2
1000000000 1

Sample Output 2

999999999

Sample Input 3

5
1 1 1 1 1

Sample Output 3

0

Solution in Haskell (GHC 8.8.3) (judge verdict: Accepted)

import Data.List
import Data.Ord
import Data.Char
import Data.Ratio
import Data.Maybe

main = do
  n <- readLn :: IO Int
  as <- map (read::String->Int) . words <$> getLine
  print $ maximum [abs (x-y)|(i,x)<-zip [1..] as, (j,y)<-zip [1..] as, i<j]