#AT1242. B - Maximum Difference

B - Maximum Difference

B - Maximum Difference

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:

NN

A1A_1 A2A_2 ...... ANA_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