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 $A$.

4
1 4 6 3

5

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

2
1000000000 1

999999999

5
1 1 1 1 1

0