Problem:
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Maximum Profit

You can obtain profits from foreign exchange margin transactions. For example, if you buy 1000 dollar at a rate of 100 yen per dollar, and sell them at a rate of 108 yen per dollar, you can obtain (108 - 100) × 1000 = 8000 yen.

Write a program which reads values of a currency $R_t$ at a certain time $t$ ($t = 0, 1, 2, ... n-1$), and reports the maximum value of $R_j - R_i$ where $j > i$ .

Input

The first line contains an integer $n$. In the following $n$ lines, $R_t$ ($t = 0, 1, 2, ... n-1$) are given in order.

Output

Print the maximum value in a line.

Constraints

$2 \leq n \leq 200,000$

$1 \leq R_t \leq 10^9$

Sample Input 1

6
5
3
1
3
4
3

Sample Output 1

3

Sample Input 2

3
4
3
2

Sample Output 2

-1

Solution in Ruby (judge verdict: Accepted)

n = STDIN.gets.to_i

n1 = STDIN.gets.to_i
n2 = STDIN.gets.to_i

max = n1
min = n1

if n1 > n2 then
  min = n2
  diff = n2 - n1
  max = n2
else
  max = n2
  diff = n2 - n1
end


(3..n).each { |i|
  x = STDIN.gets.to_i

  max = x if max.nil?
  min = -x if min.nil?

  if x > max then
    diff = x - min if x - min > diff
    max = x
  elsif x <= min then
    diff = x - max if x - max > diff
    min = x
    max = x
  end
}
puts diff