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EIKMAX - K greatest numbers

Given n integers  which the absolute value of each is  not over 10^18, output k greatest elements.

Input

The first line contains two integers n and k (k<=n<=10^5).

The second lines contains n integers.

Output

A single line contains k greatest integers in descending order.

Example

Input:
5 3
1 6 5 0 7 Output: 7 6 5

Added by:Ha Minh Ngoc
Date:2018-04-19
Time limit:1s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
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