LogiQuest

14. Sliding Window Maximum

HardDequeSliding Window

Print the maximum of every contiguous window of size k.

Input format

Line 1: n k Line 2: n integers

Output format

n − k + 1 space-separated maxima.

Example 1

Input

8 3
1 3 -1 -3 5 3 6 7

Output

3 3 5 5 6 7

Example 2

Input

1 1
1

Output

1

Constraints

1 ≤ k ≤ n ≤ 10⁵

Read input from standard input and print the answer to standard output. Your code is judged against 5 test cases, most of them hidden.

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