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Lexicographically Smallest Subsequence

1. Given an integer array nums and a positive integer k; 2. return the lexicographically smallest subsequence of size k;

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Lexicographically Smallest Subsequence

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1. Given an integer array nums and a positive integer k; 2. return the lexicographically smallest subsequence of size k;

Constraints

1. 1 <= nums.length <= 10^5 2. 1 <= nums[i] <= 10^9 3. 1 <= k <= nums.length

Format

Input

Input is managed for you

Output

Output is managed for you

Example

Sample Input

8 2 4 3 3 5 4 9 6 4

Sample Output

4 2 3 3 4

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