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