LogiQuest

437. Maximum Gap

MediumSorting

Print the largest difference between successive values in sorted order, or 0 if there are fewer than two elements.

Input format

Line 1: n Line 2: n non-negative integers

Output format

The maximum gap.

Example 1

Input

4
3 6 9 1

Output

3

Example 2

Input

1
10

Output

0

Constraints

1 ≤ n ≤ 10⁵

Read input from standard input and print the answer to standard output. Your code is judged against 5 test cases, most of them hidden.

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