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)

#include<stdio.h>

#define MAX 200000

int main()
{
    long n,i,maxP=-20000000000;
    long a[MAX];
    long x,k;
    scanf("%ld", &n);
    for(i=0;i<n;i++)
        scanf("%ld", &a[i]);
    for(i=1;i<n;i++)
    {
        for(k=0;k<i;k++)
        {
            x = a[i] - a[k];
            if(x>maxP)
                maxP = x;
        }
    }
    printf("%ld\n", maxP);
    return 0;
}