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 C# (judge verdict: Wrong Answer)

using System;

public class Test
{
	public static void Main( )
	{
		int n = int.Parse( Console.ReadLine() );
		int Ri = 1000000000;
		int profit = 1-1000000000;
		for( var i=0; i<n; i++ ) {
			int Rt = int.Parse( Console.ReadLine() );
			if( profit < Rt - Ri ) {
				profit = Rt - Ri;
			}
			Ri = Math.Min( Rt, Ri );
		}
		
		Console.WriteLine( profit );
	}
}