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 Lua (5.3.2) (judge verdict: Accepted)

local n = tonumber(io.read());
local input = {}

for v in string.gmatch(io.read(), "(%d+)") do
    table.insert(input, tonumber(v));
end

table.sort(input, function(a, b)
    return a < b;
end)

local result = input[#input] - input[1];
print(result);