Roller

AtCoder
IDarc154_c
Time2000ms
Memory256MB
Difficulty
You are given sequences of positive integers of length $N$: $A=(A_1,A_2,\dots,A_N)$ and $B=(B_1,B_2,\dots,B_N)$. You can repeat the following operation any number of times (possibly zero). * Choose an integer $i$ such that $1 \le i \le N$ and replace $A_i$ with $A_{i+1}$. Here, regard $A_{N+1}$ as $A_1$. Determine whether it is possible to make $A$ equal $B$. You have $T$ test cases to solve. ## Constraints * $1 \le T \le 5000$ * $1 \le N \le 5000$ * $1 \le A_i,B_i \le N$ * For each input file, the sum of $N$ over all test cases does not exceed $5000$. ## Input The input is given from Standard Input in the following format: $T$ $\mathrm{case}_1$ $\mathrm{case}_2$ $\vdots$ $\mathrm{case}_T$ Each test case is in the following format: $N$ $A_1$ $A_2$ $\dots$ $A_N$ $B_1$ $B_2$ $\dots$ $B_N$ [samples]
Samples
Input #1
3
2
1 2
2 2
4
2 3 1 1
2 1 1 2
2
1 1
2 2
Output #1
Yes
Yes
No

In the first test case, you can make $A$ equal $B$ as follows.

*   Choose $i=1$ to replace $A_1$ with $A_2$, making $A=(2,2)$.

In the second test case, you can make $A$ equal $B$ as follows.

*   Choose $i=4$ to replace $A_4$ with $A_1$, making $A=(2,3,1,2)$.
*   Choose $i=2$ to replace $A_2$ with $A_3$, making $A=(2,1,1,2)$.

In the third test case, there is no way to make $A$ equal $B$.
API Response (JSON)
{
  "problem": {
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      "content": "You are given sequences of positive integers of length $N$: $A=(A_1,A_2,\\dots,A_N)$ and $B=(B_1,B_2,\\dots,B_N)$. You can repeat the following operation any number of times (possibly zero). *   Choose",
      "description_type": "Markdown"
    },
    "platform": "AtCoder",
    "limit": {
      "time_limit": 2000,
      "memory_limit": 262144
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    "difficulty": "None",
    "is_remote": true,
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    "sync_url": null,
    "sign": "arc154_c"
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  "statements": [
    {
      "statement_type": "Markdown",
      "content": "You are given sequences of positive integers of length $N$: $A=(A_1,A_2,\\dots,A_N)$ and $B=(B_1,B_2,\\dots,B_N)$.\nYou can repeat the following operation any number of times (possibly zero).\n\n*   Choose...",
      "is_translate": false,
      "language": "English"
    }
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}
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