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++11 (judge verdict: Accepted)

#include <iostream>
#include <array>
#include <limits>

using namespace std;

int main() {
    int len;
    cin >> len;
    array<int, 200000> nums;

    for (int i = 0; i < len; i++) cin >> nums[i];
    
    int mi = nums[0];
    int diffMax = numeric_limits<int>::min();
    for (int i = 1; i < len; i++) {
        diffMax = max<int>(diffMax, nums[i] - mi);
        mi = min<int>(mi, nums[i]);        
    }
    
    cout << diffMax << endl;

    return 0;
}