Trouble Sort

Description:

Input:

The first line contains one integer $$$t$$$ $$$(1 \le t \le 100)$$$ — the number of test cases. The description of the test cases follows.

The first line of each test case contains one integer $$$n$$$ $$$(1 \le n \le 500)$$$ — the size of the arrays.

The second line contains $$$n$$$ integers $$$a_i$$$ $$$(1 \le a_i \le 10^5)$$$  — the value of the $$$i$$$-th element.

The third line containts $$$n$$$ integers $$$b_i$$$ $$$(b_i \in \{0, 1\})$$$  — the type of the $$$i$$$-th element.

Output:

For each test case, print "Yes" or "No" (without quotes) depending on whether it is possible to sort elements in non-decreasing order of their value.

You may print each letter in any case (upper or lower).

Sample Input:

5
4
10 20 20 30
0 1 0 1
3
3 1 2
0 1 1
4
2 2 4 8
1 1 1 1
3
5 15 4
0 0 0
4
20 10 100 50
1 0 0 1

Sample Output:

Yes
Yes
Yes
No
Yes

Note:

For the first case: The elements are already in sorted order.

For the second case: Ashish may first swap elements at positions $$$1$$$ and $$$2$$$, then swap elements at positions $$$2$$$ and $$$3$$$.

For the third case: The elements are already in sorted order.

For the fourth case: No swap operations may be performed as there is no pair of elements $$$i$$$ and $$$j$$$ such that $$$b_i \ne b_j$$$. The elements cannot be sorted.

For the fifth case: Ashish may swap elements at positions $$$3$$$ and $$$4$$$, then elements at positions $$$1$$$ and $$$2$$$.