ABC Transform

AtCoder

IDabc242_d

Time2000ms

Memory256MB

Difficulty—

You are given a string $S$ consisting of `A`, `B`, `C`. Let $S^{(0)}:=S$. For $i=1,2,3,\ldots$, let $S^{(i)}$ be the result of simultaneously replacing the characters of $S^{(i-1)}$ as follows: `A` → `BC`, `B` → `CA`, `C` → `AB`. Answer $Q$ queries. The $i$\-th query is as follows. * Print the $k_i$\-th character from the beginning of $S^{(t_i)}$. ## Constraints * $S$ is a string of length between $1$ and $10^5$ (inclusive) consisting of `A`, `B`, `C`. * $1 \leq Q \leq 10^5$ * $0 \leq t_i \leq 10^{18}$ * $1 \leq k_i \leq \min(10^{18},$ the length of $S^{(t_i)})$ * $Q, t_i, k_i$ are integers. ## Input Input is given from Standard Input in the following format: $S$ $Q$ $t_1$ $k_1$ $t_2$ $k_2$ $\hspace{0.4cm}\vdots$ $t_Q$ $k_Q$ [samples]

Samples

Input #1

Output #1

A
B
C
B

We have $S^{(0)}=$`ABC`, $S^{(1)}=$`BCCAAB`.
Thus, the answers to the queries are `A`, `B`, `C`, `B` in the given order.

Input #2

CBBAACCCCC
5
57530144230160008 659279164847814847
29622990657296329 861239705300265164
509705228051901259 994708708957785197
176678501072691541 655134104344481648
827291290937314275 407121144297426665

Output #2

A
A
C
A
A

API Response (JSON)

{
  "problem": {
    "name": "ABC Transform",
    "description": {
      "content": "You are given a string $S$ consisting of `A`, `B`, `C`. Let $S^{(0)}:=S$. For $i=1,2,3,\\ldots$, let $S^{(i)}$ be the result of simultaneously replacing the characters of $S^{(i-1)}$ as follows: `A` → ",
      "description_type": "Markdown"
    },
    "platform": "AtCoder",
    "limit": {
      "time_limit": 2000,
      "memory_limit": 262144
    },
    "difficulty": "None",
    "is_remote": true,
    "is_sync": true,
    "sync_url": null,
    "sign": "abc242_d"
  },
  "statements": [
    {
      "statement_type": "Markdown",
      "content": "You are given a string $S$ consisting of `A`, `B`, `C`.\nLet $S^{(0)}:=S$. For $i=1,2,3,\\ldots$, let $S^{(i)}$ be the result of simultaneously replacing the characters of $S^{(i-1)}$ as follows: `A` → ...",
      "is_translate": false,
      "language": "English"
    }
  ]
}

Full JSON Raw Segments