Substring of Sorted String

AtCoder

IDabc285_f

Time2000ms

Memory256MB

Difficulty—

You are given a string $S$ of length $N$ consisting of lowercase English letters, and $Q$ queries. Process the queries in order. Each query is of one of the following two kinds: * `1 x c` : replace the $x$\-th character of $S$ by the character $c$. * `2 l r` : let $T$ be the string obtained by sorting the characters of $S$ in ascending order. Print `Yes` if the string consisting of the $l$\-th through $r$\-th characters of $S$ is a substring of $T$; print `No` otherwise. What is a substring? A **substring** of $S$ is a string obtained by removing $0$ or more initial characters and $0$ or more final characters of $S$. For example, `ab` is a substring of `abc`, while `ac` is not a substring of `abc`. ## Constraints * $1\leq N \leq 10^5$ * $S$ is a string of length $N$ consisting of lowercase English letters. * $1 \leq Q \leq 10^5$ * For each query of the first kind, $1 \leq x \leq N$. * For each query of the first kind, $c$ is a lowercase English letter. * For each query of the second kind, $1 \leq l \leq r \leq N$. ## Input The input is given from Standard Input in the following format, where $\text{query}_i$ denotes the $i$\-th query: $N$ $S$ $Q$ $\text{query}_1$ $\text{query}_2$ $\vdots$ $\text{query}_Q$ [samples]

Samples

Input #1

6
abcdcf
4
2 1 3
2 2 6
1 5 e
2 2 6

Output #1

Yes
No
Yes

*   In the $1$\-st query, `abccdf` is the string $T$ obtained by sorting the characters of $S$ in ascending order. The string `abc`, consisting of the $1$\-st through $3$\-rd characters of $S$, is a substring of $T$, so `Yes` should be printed.
*   In the $2$\-nd query, `abccdf` is the string $T$ obtained by sorting the characters of $S$ in ascending order. The string `bcdcf`, consisting of the $2$\-nd through $6$\-th characters of $S$, is not a substring of $T$, so `No` should be printed.
*   The $3$\-rd query sets the $5$\-th character of $S$ to `e`, making $S$ `abcdef`.
*   In the $4$\-th query, `abcdef` is the string $T$ obtained by sorting the characters of $S$ in ascending order. The string `bcdef`, consisting of the $2$\-nd through $6$\-th characters of $S$, is a substring of $T$, so `Yes` should be printed.

API Response (JSON)

{
  "problem": {
    "name": "Substring of Sorted String",
    "description": {
      "content": "You are given a string $S$ of length $N$ consisting of lowercase English letters, and $Q$ queries. Process the queries in order. Each query is of one of the following two kinds: *   `1 x c` : replace",
      "description_type": "Markdown"
    },
    "platform": "AtCoder",
    "limit": {
      "time_limit": 2000,
      "memory_limit": 262144
    },
    "difficulty": "None",
    "is_remote": true,
    "is_sync": true,
    "sync_url": null,
    "sign": "abc285_f"
  },
  "statements": [
    {
      "statement_type": "Markdown",
      "content": "You are given a string $S$ of length $N$ consisting of lowercase English letters, and $Q$ queries. Process the queries in order.\nEach query is of one of the following two kinds:\n\n*   `1 x c` : replace...",
      "is_translate": false,
      "language": "English"
    }
  ]
}

Full JSON Raw Segments