chess960

AtCoder

IDabc297_b

Time2000ms

Memory256MB

Difficulty—

> Takahashi is playing a game called Chess960. He has decided to write a code that determines if a random initial state satisfies the conditions of Chess960. You are given a string $S$ of length eight. $S$ has exactly one `K` and `Q`, and exactly two `R`'s, `B`'s , and `N`'s. Determine if $S$ satisfies all of the following conditions. * Suppose that the $x$\-th and $y$\-th $(x < y)$ characters from the left of $S$ are `B`; then, $x$ and $y$ have different parities. * `K` is between two `R`'s. More formally, suppose that the $x$\-th and $y$\-th $(x < y)$ characters from the left of $S$ are `R` and the $z$\-th is `K`; then $x< z < y$. ## Constraints * $S$ is a string of length $8$ that contains exactly one `K` and `Q`, and exactly two `R`'s, `B`'s , and `N`'s. ## Input The input is given from Standard Input in the following format: $S$ [samples]

Samples

Input #1

RNBQKBNR

Output #1

Yes

The $3$\-rd and $6$\-th characters are `B`, and $3$ and $6$ have different parities. Also, `K` is between the two `R`'s. Thus, the conditions are fulfilled.

Input #2

KRRBBNNQ

Output #2

No

`K` is not between the two `R`'s.

Input #3

BRKRBQNN

Output #3

No

API Response (JSON)

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    "name": "chess960",
    "description": {
      "content": "> Takahashi is playing a game called Chess960. He has decided to write a code that determines if a random initial state satisfies the conditions of Chess960. You are given a string $S$ of length eigh",
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    },
    "platform": "AtCoder",
    "limit": {
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      "memory_limit": 262144
    },
    "difficulty": "None",
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    "is_sync": true,
    "sync_url": null,
    "sign": "abc297_b"
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  "statements": [
    {
      "statement_type": "Markdown",
      "content": "> Takahashi is playing a game called Chess960. He has decided to write a code that determines if a random initial state satisfies the conditions of Chess960.\n\nYou are given a string $S$ of length eigh...",
      "is_translate": false,
      "language": "English"
    }
  ]
}

Full JSON Raw Segments