#P1904D1. Set To Max (Easy Version)

    ID: 8916 Type: RemoteJudge 2000ms 256MiB Tried: 0 Accepted: 0 Difficulty: (None) Uploaded By: Tags>brute forceconstructive algorithmsgreedy

Set To Max (Easy Version)

No submission language available for this problem.

Description

This is the easy version of the problem. The only differences between the two versions of this problem are the constraints on nn and the time limit. You can make hacks only if all versions of the problem are solved.

You are given two arrays aa and bb of length nn.

You can perform the following operation some (possibly zero) times:

  1. choose ll and rr such that 1lrn1 \leq l \leq r \leq n.
  2. let x=max(al,al+1,,ar)x=\max(a_l,a_{l+1},\ldots,a_r).
  3. for all lirl \leq i \leq r, set ai:=xa_i := x.

Determine if you can make array aa equal to array bb.

Each test contains multiple test cases. The first line contains an integer tt (1t1041 \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 a single integer nn (1n10001 \le n \le 1000) — the length of the arrays.

The second line contains nn integers a1,a2,,ana_1, a_2, \ldots, a_n (1ain1 \le a_i \le n) — the elements of array aa.

The third line contains nn integers b1,b2,,bnb_1, b_2, \ldots, b_n (1bin1 \le b_i \le n) — the elements of array bb.

It is guaranteed that the sum of n2n^2 over all test cases does not exceed 10610^6.

For each test case, output "YES" (without quotes) if you can make aa into bb using any number of operations, 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).

Input

Each test contains multiple test cases. The first line contains an integer tt (1t1041 \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 a single integer nn (1n10001 \le n \le 1000) — the length of the arrays.

The second line contains nn integers a1,a2,,ana_1, a_2, \ldots, a_n (1ain1 \le a_i \le n) — the elements of array aa.

The third line contains nn integers b1,b2,,bnb_1, b_2, \ldots, b_n (1bin1 \le b_i \le n) — the elements of array bb.

It is guaranteed that the sum of n2n^2 over all test cases does not exceed 10610^6.

Output

For each test case, output "YES" (without quotes) if you can make aa into bb using any number of operations, 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).

Sample Input 1

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

Sample Output 1

YES
NO
YES
NO
NO

Note

In the first test case, we can achieve array bb by applying a single operation: (l,r)=(2,3)(l,r)=(2,3).

In the second test case, it can be shown we cannot achieve array bb in any amount of operations.

In the third test case, we can achieve array bb by applying two operations: (l,r)=(2,5)(l,r)=(2,5). followed by (l,r)=(1,3)(l,r)=(1,3).

In the fourth and fifth test cases, it can be shown we cannot achieve array bb in any amount of operations.