1 2 1 3 1 2 1

AtCoder

IDabc247_c

Time2000ms

Memory256MB

Difficulty—

We define sequences $S_n$ as follows. * $S_1$ is a sequence of length $1$ containing a single $1$. * $S_n$ ($n$ is an integer greater than or equal to $2$) is a sequence obtained by concatenating $S_{n-1}$, $n$, $S_{n-1}$ in this order. For example, $S_2$ and $S_3$ is defined as follows. * $S_2$ is a concatenation of $S_1$, $2$, and $S_1$, in this order, so it is $1,2,1$. * $S_3$ is a concatenation of $S_2$, $3$, and $S_2$, in this order, so it is $1,2,1,3,1,2,1$. Given $N$, print the entire sequence $S_N$. ## Constraints * $N$ is an integer. * $1 \leq N \leq 16$ ## Input Input is given from Standard Input in the following format: $N$ [samples]

Samples

Input #1

Output #1

1 2 1

As described in the Problem Statement, $S_2$ is $1,2,1$.

Input #2

Output #2

Input #3

Output #3

1 2 1 3 1 2 1 4 1 2 1 3 1 2 1

*   $S_4$ is a concatenation of $S_3$, $4$, and $S_3$, in this order.

API Response (JSON)

{
  "problem": {
    "name": "1 2 1 3 1 2 1",
    "description": {
      "content": "We define sequences $S_n$ as follows. *   $S_1$ is a sequence of length $1$ containing a single $1$. *   $S_n$ ($n$ is an integer greater than or equal to $2$) is a sequence obtained by concatenating",
      "description_type": "Markdown"
    },
    "platform": "AtCoder",
    "limit": {
      "time_limit": 2000,
      "memory_limit": 262144
    },
    "difficulty": "None",
    "is_remote": true,
    "is_sync": true,
    "sync_url": null,
    "sign": "abc247_c"
  },
  "statements": [
    {
      "statement_type": "Markdown",
      "content": "We define sequences $S_n$ as follows.\n\n*   $S_1$ is a sequence of length $1$ containing a single $1$.\n*   $S_n$ ($n$ is an integer greater than or equal to $2$) is a sequence obtained by concatenating...",
      "is_translate": false,
      "language": "English"
    }
  ]
}

Full JSON Raw Segments