Problem2852--Maximum Value

2852: Maximum Value

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Time Limit : 2.000 sec  Memory Limit : 256 MiB

Description

time limit per test
1 second
memory limit per test
256 megabytes
input
standard input
output
standard output

You are given a sequence a consisting of n integers. Find the maximum possible value of (integer remainder of ai divided by aj), where 1≤i,jn and aiaj.

Input

The first line contains integer n− the length of the sequence (1≤n≤2·105).

The second line contains n space-separated integers ai (1≤ai≤106).

Output

Print the answer to the problem.

Examples
Input
3
3 4 5
Output
2

Source/Category