Score : $500$ points

问题描述

你已知两个整数序列 $A = (a_1,\ldots,a_N)$ 和 $B = (b_1,\ldots,b_N)$，每个序列的长度均为 $N$。

对于 $i=1,\ldots,Q$，以以下格式回答查询：

• 如果在 $A$ 序列的前 $x_i$ 项 $(a_1,\ldots,a_{x_i})$ 中包含的值集合与在 $B$ 序列的前 $y_i$ 项 $(b_1,\ldots,b_{y_i})$ 中包含的值集合相等，则输出 Yes；否则，输出 No。

以上为通义千问 qwen-max 翻译，仅供参考。

Problem Statement

You are given integer sequences $A = (a_1,\ldots,a_N)$ and $B = (b_1,\ldots,b_N)$, each of length $N$.

For $i=1,...,Q$, answer the query in the following format.

• If the set of values contained in the first $x_i$ terms of $A$, $(a_1,\ldots,a_{x_i})$, and the set of values contained in the first $y_i$ terms of $B$, $(b_1,\ldots,b_{y_i})$, are equal, then print Yes; otherwise, print No.

Constraints

• $1 \leq N,Q \leq 2 \times 10^5$
• $1 \leq a_i,b_i \leq 10^9$
• $1 \leq x_i,y_i \leq N$
• All values in input are integers.

Input

Input is given from Standard Input in the following format:

$N$

$a_1$ $\ldots$ $a_N$

$b_1$ $\ldots$ $b_N$

$Q$

$x_1$ $y_1$

$\vdots$

$x_Q$ $y_Q$

Output

Print $Q$ lines. The $i$-th line should contain the response to the $i$-th query.

Sample Input 1

5
1 2 3 4 5
1 2 2 4 3
7
1 1
2 2
2 3
3 3
4 4
4 5
5 5

Sample Output 1

Yes
Yes
Yes
No
No
Yes
No

Note that sets are a concept where it matters only whether each value is contained or not.
For the $3$-rd query, the first $2$ terms of $A$ contain one $1$ and one $2$, while the first $3$ terms of $B$ contain one $1$ and two $2$'s. However, the sets of values contained in the segments are both $\{ 1,2 \}$, which are equal.
Also, for the $6$-th query, the values appear in different orders, but they are still equal as sets.

update @ 2024/3/10 10:41:22