#P484B. Maximum Value

    ID: 7647 Type: RemoteJudge 1000ms 256MiB Tried: 0 Accepted: 0 Difficulty: 7 Uploaded By: Tags>binary searchmathsortingstwo pointers*2100

Maximum Value

Description

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, j ≤ n and ai ≥ aj.

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).

Print the answer to the problem.

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.

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