Adjacent Swaps

AtCoder
IDabc250_c
Time2000ms
Memory256MB
Difficulty
$N$ balls are lined up in a row from left to right. Initially, the $i$\-th ($1 \leq i \leq N$) ball from the left has an integer $i$ written on it. Takahashi has performed $Q$ operations. The $i$\-th ($1 \leq i \leq Q$) operation was as follows. * Swap the ball with the integer $x_i$ written on it with the next ball to the right. If the ball with the integer $x_i$ written on it was originally the rightmost ball, swap it with the next ball to the left instead. Let $a_i$ be the integer written on the $i$\-th ($1 \leq i \leq N$) ball after the operations. Find $a_1,\ldots,a_N$. ## Constraints * $2 \leq N \leq 2 \times 10^5$ * $1 \leq Q \leq 2 \times 10^5$ * $1 \leq x_i \leq N$ * All values in input are integers. ## Input Input is given from Standard Input in the following format: $N$ $Q$ $x_1$ $\vdots$ $x_Q$ [samples]
Samples
Input #1
5 5
1
2
3
4
5
Output #1
1 2 3 5 4

The operations are performed as follows.

*   Swap the ball with $1$ written on it with the next ball to the right. Now, the balls have integers $2,1,3,4,5$ written on them, from left to right.
*   Swap the ball with $2$ written on it with the next ball to the right. Now, the balls have integers $1,2,3,4,5$ written on them, from left to right.
*   Swap the ball with $3$ written on it with the next ball to the right. Now, the balls have integers $1,2,4,3,5$ written on them, from left to right.
*   Swap the ball with $4$ written on it with the next ball to the right. Now, the balls have integers $1,2,3,4,5$ written on them, from left to right.
*   Swap the ball with $5$ written on it with the next ball to the left, since it is the rightmost ball. Now, the balls have integers $1,2,3,5,4$ written on them, from left to right.
Input #2
7 7
7
7
7
7
7
7
7
Output #2
1 2 3 4 5 7 6
Input #3
10 6
1
5
2
9
6
6
Output #3
1 2 3 4 5 7 6 8 10 9
API Response (JSON)
{
  "problem": {
    "name": "Adjacent Swaps",
    "description": {
      "content": "$N$ balls are lined up in a row from left to right. Initially, the $i$\\-th ($1 \\leq i \\leq N$) ball from the left has an integer $i$ written on it. Takahashi has performed $Q$ operations. The $i$\\-th ",
      "description_type": "Markdown"
    },
    "platform": "AtCoder",
    "limit": {
      "time_limit": 2000,
      "memory_limit": 262144
    },
    "difficulty": "None",
    "is_remote": true,
    "is_sync": true,
    "sync_url": null,
    "sign": "abc250_c"
  },
  "statements": [
    {
      "statement_type": "Markdown",
      "content": "$N$ balls are lined up in a row from left to right. Initially, the $i$\\-th ($1 \\leq i \\leq N$) ball from the left has an integer $i$ written on it.\nTakahashi has performed $Q$ operations. The $i$\\-th ...",
      "is_translate": false,
      "language": "English"
    }
  ]
}
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