Writing a Numeral

AtCoder

IDabc298_d

Time3000ms

Memory256MB

Difficulty—

We have a string $S$. Initially, $S=$ `1`. Process $Q$ queries in the following formats in order. * `1 x` : Append a digit $x$ at the end of $S$. * `2` : Delete the digit at the beginning of $S$. * `3` : Print the number represented by $S$ in decimal, modulo $998244353$. ## Constraints * $1 \leq Q \leq 6 \times 10^5$ * For each query in the first format, $x \in {1,2,3,4,5,6,7,8,9}$. * A query in the second format is given only if $S$ has a length of $2$ or greater. * There is at least one query in the third format. ## Input The input is given from Standard Input in the following format: $Q$ $\mathrm{query}_1$ $\vdots$ $\mathrm{query}_Q$ Here, $\mathrm{query}_i$ denotes the $i$\-th query, which is in one of the following formats: $1$ $x$ $2$ $3$ [samples]

Samples

Input #1

Output #1

1
12

In the first query, $S$ is `1`, so you should print $1$ modulo $998244353$, that is, $1$.  
In the second query, $S$ becomes `12`.  
In the third query, $S$ is `12`, so you should print $12$ modulo $998244353$, that is, $12$.

Input #2

Output #2

Input #3

Output #3

0

Be sure to print numbers modulo $998244353$.

API Response (JSON)

{
  "problem": {
    "name": "Writing a Numeral",
    "description": {
      "content": "We have a string $S$. Initially, $S=$ `1`.   Process $Q$ queries in the following formats in order. *   `1 x` : Append a digit $x$ at the end of $S$. *   `2` : Delete the digit at the beginning of $S",
      "description_type": "Markdown"
    },
    "platform": "AtCoder",
    "limit": {
      "time_limit": 3000,
      "memory_limit": 262144
    },
    "difficulty": "None",
    "is_remote": true,
    "is_sync": true,
    "sync_url": null,
    "sign": "abc298_d"
  },
  "statements": [
    {
      "statement_type": "Markdown",
      "content": "We have a string $S$. Initially, $S=$ `1`.  \nProcess $Q$ queries in the following formats in order.\n\n*   `1 x` : Append a digit $x$ at the end of $S$.\n*   `2` : Delete the digit at the beginning of $S...",
      "is_translate": false,
      "language": "English"
    }
  ]
}

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