Prefix Equality

AtCoder

IDabc250_e

Time4000ms

Memory256MB

Difficulty—

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: $N$ $a_1$ $\ldots$ $a_N$ $b_1$ $\ldots$ $b_N$ $Q$ $x_1$ $y_1$ $\vdots$ $x_Q$ $y_Q$ [samples]

Samples

Input #1

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.

API Response (JSON)

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