Insert or Erase

AtCoder

IDabc344_e

Time2000ms

Memory256MB

Difficulty—

You are given a sequence $A=(A_1,\ldots,A_N)$ of length $N$. The elements of $A$ are distinct. Process $Q$ queries in the order they are given. Each query is of one of the following two types: * `1 x y` : Insert $y$ immediately after the element $x$ in $A$. It is guaranteed that $x$ exists in $A$ when this query is given. * `2 x` : Remove the element $x$ from $A$. It is guaranteed that $x$ exists in $A$ when this query is given. It is guaranteed that after processing each query, $A$ will not be empty, and its elements will be distinct. Print $A$ after processing all the queries. ## Constraints * $1 \leq N \leq 2\times 10^5$ * $1 \leq Q \leq 2\times 10^5$ * $1 \leq A_i \leq 10^9$ * $A_i \neq A_j$ * For queries of the first type, $1 \leq x,y \leq 10^9$. * When a query of the first type is given, $x$ exists in $A$. * For queries of the second type, $1 \leq x \leq 10^9$. * When a query of the second type is given, $x$ exists in $A$. * After processing each query, $A$ is not empty, and its elements are distinct. * All input values are integers. ## Input The input is given from Standard Input in the following format: $N$ $A_1$ $\ldots$ $A_N$ $Q$ $\mathrm{Query}_1$ $\vdots$ $\mathrm{Query}_Q$ Here, $\mathrm{Query}_i$ represents the $i$\-th query and is given in one of the following formats: $1$ $x$ $y$ $2$ $x$ [samples]

Samples

Input #1

Output #1

4 5 1 3

The queries are processed as follows:

*   Initially, $A=(2,1,4,3)$.
*   The first query removes $1$, making $A=(2,4,3)$.
*   The second query inserts $5$ immediately after $4$, making $A=(2,4,5,3)$.
*   The third query removes $2$, making $A=(4,5,3)$.
*   The fourth query inserts $1$ immediately after $5$, making $A=(4,5,1,3)$.

Input #2

6
3 1 4 5 9 2
7
2 5
1 3 5
1 9 7
2 9
2 3
1 2 3
2 4

Output #2

5 1 7 2 3

API Response (JSON)

{
  "problem": {
    "name": "Insert or Erase",
    "description": {
      "content": "You are given a sequence $A=(A_1,\\ldots,A_N)$ of length $N$. The elements of $A$ are distinct. Process $Q$ queries in the order they are given. Each query is of one of the following two types: *   `1",
      "description_type": "Markdown"
    },
    "platform": "AtCoder",
    "limit": {
      "time_limit": 2000,
      "memory_limit": 262144
    },
    "difficulty": "None",
    "is_remote": true,
    "is_sync": true,
    "sync_url": null,
    "sign": "abc344_e"
  },
  "statements": [
    {
      "statement_type": "Markdown",
      "content": "You are given a sequence $A=(A_1,\\ldots,A_N)$ of length $N$. The elements of $A$ are distinct.\nProcess $Q$ queries in the order they are given. Each query is of one of the following two types:\n\n*   `1...",
      "is_translate": false,
      "language": "English"
    }
  ]
}

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