Near Assignment

AtCoder

IDarc183_b

Time2000ms

Memory256MB

Difficulty—

You are given integer sequences of length $N$: $A=(A_1,A_2,\cdots,A_N)$ and $B=(B_1,B_2,\cdots,B_N)$, and an integer $K$. You can perform the following operation zero or more times. * Choose integers $i$ and $j$ ($1 \leq i,j \leq N$). Here, $|i-j| \leq K$ must hold. Then, change the value of $A_i$ to $A_j$. Determine whether it is possible to make $A$ identical to $B$. There are $T$ test cases for each input. ## Constraints * $1 \leq T \leq 125000$ * $1 \leq K < N \leq 250000$ * $1 \leq A_i,B_i \leq N$ * The sum of $N$ across all test cases in each input is at most $250000$. * All input values are integers. ## Input The input is given from Standard Input in the following format: $T$ $case_1$ $case_2$ $\vdots$ $case_T$ Each test case is given in the following format: $N$ $K$ $A_1$ $A_2$ $\cdots$ $A_N$ $B_1$ $B_2$ $\cdots$ $B_N$ [samples]

Samples

Input #1

4
3 1
1 1 2
1 2 2
5 4
2 4 5 1 3
2 1 3 2 2
13 1
3 1 3 3 5 3 3 4 2 2 2 5 1
5 3 3 3 4 2 2 2 2 5 5 1 3
20 14
10 6 6 19 13 16 15 15 2 10 2 16 9 12 2 6 13 5 5 9
5 9 6 2 10 19 16 15 13 12 10 2 9 6 5 16 19 12 15 13

Output #1

Yes
Yes
No
Yes

Consider the first test case. If we operate with $i=2$ and $j=3$, the value of $A_2$ will be changed to $A_3=2$, resulting in $A=(1,2,2)$.

API Response (JSON)

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