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 Scala (2.11.7) (judge verdict: Wrong Answer)

import scala.io.StdIn

object Main extends App {

  val n = StdIn.readLine().toInt
  val a = StdIn.readLine().split(" ").map(_.toInt)
  
  val r = a.foldLeft((1, 1)){ (acc, ai) =>
    val min = scala.math.min(acc._1, ai)
    val max = scala.math.max(acc._2, ai)
    (min, max)
  }
  
  println(r._2 - r._1)
  
}