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 JavaScript (judge verdict: Accepted)

let content = '';
process.stdin.resume();
process.stdin.setEncoding('utf8');
process.stdin.on('data', buf => {
  content += buf;
});

process.stdin.on('end', () => {
  const [, ...nums] = content
    .trim()
    .split('\n')
    .map(n => +n);

  let max = null;
  let min = nums[0];
  for (let i = 1; i < nums.length; i++) {
    const bNum = nums[i];
    min = min > nums[i - 1] ? nums[i - 1] : min;
    const d = bNum - min;
    if (max === null || d > max) {
      max = d;
    }
  }

  console.log(max);
});