Book Placement on Shelves

You are given T test cases. In each test case, there are two integers M and N denoting the number of shelves and the number of books respectively. This is followed by a line with M integers representing the weight capacities of the shelves and another line with N integers representing the weights of the books.

The objective is to determine whether it is possible to place each book on a unique shelf such that the weight of the book does not exceed the shelf's capacity. In other words, for each assigned book with weight (w_i) and its shelf with capacity (c_j), it must hold that (w_i \le c_j). If no assignment satisfying these constraints exists, output NO; otherwise, output YES. Note that if there are no books, the answer is considered YES.

inputFormat

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

The first line contains an integer T, the number of test cases.

For each test case, the first line contains two space‐separated integers M and N.

The second line contains M space‐separated integers representing the capacities of the shelves. (If M is 0, this line will be empty.)

The third line contains N space‐separated integers representing the weights of the books. (If N is 0, this line will be empty.)

outputFormat

For each test case, output a single line to standard output (stdout) containing either YES or NO depending on whether it is possible to place all the books on the shelves under the given constraints.## sample

7
3 4
10 50 30
15 5 25 10
4 2
20 15 10 5
10 20
3 0
10 50 30

0 2

1 2
10
5 6
2 2
10 5
5 10
3 2
10 5 1
4 5

NO
YES
YES
NO
NO
YES
YES