Codeforces Global Round 20 |
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Finished |
There is an array $$$a$$$ of length $$$n$$$. You may perform the following operation any number of times:
You are also given another array $$$b$$$ of length $$$n$$$ which is a permutation of $$$a$$$. Determine whether it is possible to transform array $$$a$$$ into an array $$$b$$$ using the above operation some number of times.
Each test contains multiple test cases. The first line contains a single integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. The description of the test cases follows.
The first line of each test case contains an integer $$$n$$$ ($$$1 \le n \le 2 \cdot 10 ^ 5$$$) — the length of array $$$a$$$ and $$$b$$$.
The second line of each test case contains $$$n$$$ integers $$$a_1, a_2, \ldots, a_n$$$ ($$$1 \le a_i \le n$$$) — elements of the array $$$a$$$.
The third line of each test case contains $$$n$$$ integers $$$b_1, b_2, \ldots, b_n$$$ ($$$1 \le b_i \le n$$$) — elements of the array $$$b$$$.
It is guaranteed that $$$b$$$ is a permutation of $$$a$$$.
It is guaranteed that the sum of $$$n$$$ over all test cases does not exceed $$$2 \cdot 10 ^ 5$$$
For each test case, print "YES" (without quotes) if it is possible to transform array $$$a$$$ to $$$b$$$, and "NO" (without quotes) otherwise.
You can output "YES" and "NO" in any case (for example, strings "yEs", "yes" and "Yes" will be recognized as a positive response).
551 2 3 3 21 3 3 2 251 2 4 2 14 2 2 1 152 4 5 5 22 2 4 5 531 2 31 2 331 1 22 1 1
YES YES NO YES NO
In the first test case, we can choose $$$l=2$$$ and $$$r=5$$$ to form $$$[1, 3, 3, 2, 2]$$$.
In the second test case, we can choose $$$l=2$$$ and $$$r=4$$$ to form $$$[1, 4, 2, 2, 1]$$$. Then, we can choose $$$l=1$$$ and $$$r=5$$$ to form $$$[4, 2, 2, 1, 1]$$$.
In the third test case, it can be proven that it is not possible to transform array $$$a$$$ to $$$b$$$ using the operation.
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