A12712. Subarray Sorting

You are given an array $a_1, a_2, \dots, a_n$ and an array $b_1, b_2, \dots, b_n$ .

For one operation you can sort in non-decreasing order any subarray $a[l \dots r]$ of the array $a$ .

For example, if $a = [4, 2, 2, 1, 3, 1]$ and you choose subbarray $a[2 \dots 5]$ , then the array turns into $[4, 1, 2, 2, 3, 1]$ .

You are asked to determine whether it is possible to obtain the array $b$ by applying this operation any number of times (possibly zero) to the array $a$ .

The first line contains one integer $t$ ( $1 \le t \le 3 \cdot 10^5$ ) — the number of queries.

The first line of each query contains one integer $n$ ( $1 \le n \le 3 \cdot 10^5$ ).

The second line of each query contains $n$ integers $a_1, a_2, \dots, a_n$ ( $1 \le a_i \le n$ ).

The third line of each query contains $n$ integers $b_1, b_2, \dots, b_n$ ( $1 \le b_i \le n$ ).

It is guaranteed that $\sum n \le 3 \cdot 10^5$ over all queries in a test.

For each query print YES (in any letter case) if it is possible to obtain an array $b$ and NO (in any letter case) otherwise.

In first test case the can sort subarray $a_1 \dots a_5$ , then $a$ will turn into $[1, 1, 4, 4, 7, 5, 6]$ , and then sort subarray $a_5 \dots a_6$ .