Guess The Number 2

AtCoder

IDabc286_f

Time2000ms

Memory256MB

Difficulty—

This is an **interactive task**, where your and the judge's programs interact via Standard Input and Output. You and the judge will follow the procedure below. The procedure consists of phases $1$ and $2$; phase $1$ is immediately followed by phase $2$. (Phase $1$) * The judge decides an integer $N$ between $1$ and $10^9$ (inclusive), which is hidden. * You print an integer $M$ between $1$ and $110$ (inclusive). * You also print an integer sequence $A=(A_1,A_2,\ldots,A_M)$ of length $M$ such that $1 \leq A_i \leq M$ for all $i = 1, 2, \ldots, M$. (Phase $2$) * The judge gives you an integer sequence $B=(B_1,B_2,\ldots,B_M)$ of length $M$. Here, $B_i = f^N(i)$. $f(i)$ is defined by $f(i)=A_i$ for all integers $i$ between $1$ and $M$ (inclusive), and $f^N(i)$ is the integer resulting from replacing $i$ with $f(i)$ $N$ times. * Based on the given $B$, you identify the integer $N$ that the judge has decided, and print $N$. After the procedure above, terminate the program immediately to be judged correct. ## Constraints * $N$ is an integer between $1$ and $10^9$ (inclusive). ## Input And Output This is an interactive task, where your and the judge's programs interact via Standard Input and Output. (Phase $1$) * First, print an integer $M$ between $1$ and $110$ (inclusive). It must be followed by a newline. $M$ * Then, print a sequence $A=(A_1,A_2,\ldots,A_M)$ of length $M$ consisting of integers between $1$ and $M$ (inclusive), with spaces in between. It must be followed by a newline. $A_1$ $A_2$ $\ldots$ $A_M$ (Phase $2$) * First, an integer sequence $B=(B_1,B_2,\ldots,B_M)$ of length $M$ is given from the input. $B_1$ $B_2$ $\ldots$ $B_M$ * Find the integer $N$ and print it. It must be followed by a newline. $N$ If you print something illegal, the judge prints `-1`. In that case, your submission is already considered incorrect. Since the judge program terminates at this point, it is desirable that your program terminates too. [samples] ## Notes * **After each output, add a newline and then flush Standard Output. Otherwise, you may get a TLE verdict.** * **If an invalid output is printed during the interaction, or if the program terminates halfway, the verdict will be indeterminate.** * After you print the answer (or you receive `-1`), immediately terminate the program normally. Otherwise, the verdict will be indeterminate. * Note that an excessive newline is also considered an invalid input.

API Response (JSON)

{
  "problem": {
    "name": "Guess The Number 2",
    "description": {
      "content": "This is an **interactive task**, where your and the judge's programs interact via Standard Input and Output. You and the judge will follow the procedure below. The procedure consists of phases $1$ and",
      "description_type": "Markdown"
    },
    "platform": "AtCoder",
    "limit": {
      "time_limit": 2000,
      "memory_limit": 262144
    },
    "difficulty": "None",
    "is_remote": true,
    "is_sync": true,
    "sync_url": null,
    "sign": "abc286_f"
  },
  "statements": [
    {
      "statement_type": "Markdown",
      "content": "This is an **interactive task**, where your and the judge's programs interact via Standard Input and Output.\nYou and the judge will follow the procedure below. The procedure consists of phases $1$ and...",
      "is_translate": false,
      "language": "English"
    }
  ]
}

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