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: Accepted)

#include <stdio.h>
#include <limits.h>

int nums[2000005];

int main() {
#ifdef TEST
    freopen("input", "r", stdin);
#endif

    int num;
    scanf("%d", &num);
    for (int i = 0; i < num; ++i) {
        scanf("%d", &nums[i]);
    }

    int minn = nums[0];
    int maxProfit = INT_MIN;
    for (int j = 1; j < num; ++j) {
        int tmp = nums[j];
        nums[j] -= minn;
        minn = minn < tmp ? minn : tmp;
        if (nums[j] > maxProfit) {
            maxProfit = nums[j];
        }
    }
    printf("%d\n", maxProfit);


    return 0;
}