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 Haskell (judge verdict: Memory Limit Exceeded)

import Control.Arrow
import Control.Monad.State.Strict
 
main :: IO()
main = getLine >> getContents >>= print.fst.(\(x:y:ys) -> solve ys (y- x, min x y)).map read.lines
 
solve :: [Int] -> (Int, Int) -> (Int, Int)
solve ys = execState $ do
            forM_ ys $ \y -> do
              (a, b) <- get
              modify $! (max (y - b)) *** (min y)
            return ()