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 LuaJIT (2.0.4) (judge verdict: Accepted)

local N = io.read("*n")
local A = {}
for i = 1, N do
    A[i] = io.read("*n")
end

local biggest, smallest = 0, 1000000000
for i = 1, N do
    if biggest < A[i] then
        biggest = A[i]
    end
    if smallest > A[i] then
        smallest = A[i]
    end
end
print(biggest - smallest)