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: Time Limit Exceeded)

using System;

class Aoj
{
	public static void Main()
	{
		// var inputs = Console.ReadLine().Split(' ');

		var dataCount = int.Parse(Console.ReadLine());
		var datas = new int[dataCount];
		var max = int.MinValue;

		for (int i = 0; i < dataCount; i++)
		{
			datas[i] = int.Parse(Console.ReadLine());
		}

		// datas.Dump();

		for (int i = 0; i < dataCount - 1; i++)
		{
			for (int j = i + 1; j < dataCount; j++)
			{
				max = Math.Max(datas[j] - datas[i], max);
			}
		}

		Console.WriteLine(max);
	}
}