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 JAVA (judge verdict: Time Limit Exceeded)

import  java.util.*;
class Main{
    int n;
    int[] R=new int[200000];
    Main(){
	Scanner sc = new Scanner(System.in);
	n=sc.nextInt();
	int ans=-1000000000;
	for(int i=0; i<n; i++){
	    R[i]=sc.nextInt();
	    for(int j=0; j<i; j++){
	        int num=R[i]-R[j];
		if(ans<num)ans=num;
	    }
	}
	System.out.println(ans);
    }

    public static void main(String[] args){
	new Main();
    }
}