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 Scala (judge verdict: Wrong Answer)

object Main {
  def main(args: Array[String]): Unit = {
    val n = readLine.toInt
    val input = (1 to n map { _ => readLine.toInt }).toList
    // println(input)

    def calMaxProf(input: List[Int], maxProf: Int = Int.MaxValue): Int = input match {
      case head :: Nil =>
        maxProf
      case head :: tail =>
        val prof = tail.map(_ - head).max
        if (prof > maxProf) {
          calMaxProf(tail, prof)
        } else {
          calMaxProf(tail, maxProf)
        }
      case Nil =>
        maxProf
    }

    println(calMaxProf(input))
  }
}