Non-decreasing Subsequence Contest Participation

You are given several test cases. In each test case, you are provided with a sequence of ingredient quality values. Your task is to determine if there exists a non-decreasing subsequence within the sequence that has a length of at least K. Formally, for each test case, given an array A of length N and an integer K, check whether there is a subsequence (not necessarily contiguous) A[i₁], A[i₂], ... , A[i_m] (with m \geq K and i₁ < i₂ < ... < i_m) such that:

$$A[i_1] \leq A[i_2] \leq \cdots \leq A[i_m]$$

If such a subsequence exists, print YES; otherwise, print NO for that test case.

inputFormat

The input is read from stdin and has the following format:

T
N
A[0] A[1] ... A[N-1]
K
... (repeated for T test cases)

Where:

• T is the number of test cases.
• For each test case, N is the number of ingredients.
• The next line contains N space-separated integers representing the quality values of the ingredients.
• K is the minimum required length of the non-decreasing subsequence.

outputFormat

For each test case, output a single line to stdout containing either YES if there exists a non-decreasing subsequence of length at least K, or NO if there is not.

## sample

2
5
1 3 2 4 5
3
4
4 3 2 1
2

YES
NO

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