LogiQuest

19. Top K Frequent Elements

MediumHash MapSortingHeap

Print the k most frequent values. Break ties by the smaller value first. Print them from most to least frequent.

Input format

Line 1: n k Line 2: n integers

Output format

k space-separated values.

Example 1

Input

6 2
1 1 1 2 2 3

Output

1 2

Example 2

Input

1 1
1

Output

1

Constraints

1 ≤ k ≤ number of distinct values ≤ n ≤ 10⁵

Read input from standard input and print the answer to standard output. Your code is judged against 4 test cases, most of them hidden.

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