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EIUMADIS - Find the maximum difference

Given an integer array whose length is n. Find the maximum value of aj – ai for all 0 ≤  i ≤ j < n.

Input

-        The first line contains an integer n representing the number of elements in the array (1 ≤  n ≤ 105).

-        The second line contains n integers which are elements of the array (|ai| ≤  2*109).

Output

An only integer which is the maximum difference.

Sample

Input

Output

5

2 4 1 5 3

4

6

10 5 4 3 2 1

0


Added by:Ha Minh Ngoc
Date:2018-01-14
Time limit:1s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
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