k-DMC

AtCoder

IDdwacon5th_prelims_c

Time2525ms

Memory256MB

Difficulty—

In Dwango Co., Ltd., there is a content distribution system named 'Dwango Media Cluster', and it is called 'DMC' for short. The name 'DMC' sounds cool for Niwango-kun, so he starts to define DMC-ness of a string. Given a string $S$ of length $N$ and an integer $k$ $(k \geq 3)$, he defines the _$k$\-DMC number_ of $S$ as the number of triples $(a, b, c)$ of integers that satisfy the following conditions: * $0 \leq a < b < c \leq N - 1$ * $S[a]$ = `D` * $S[b]$ = `M` * $S[c]$ = `C` * $c-a < k$ Here $S[a]$ is the $a$\-th character of the string $S$. Indexing is zero-based, that is, $0 \leq a \leq N - 1$ holds. For a string $S$ and $Q$ integers $k_0, k_1, ..., k_{Q-1}$, calculate the $k_i$\-DMC number of $S$ for each $i$ $(0 \leq i \leq Q-1)$. ## Constraints * $3 \leq N \leq 10^6$ * $S$ consists of uppercase English letters * $1 \leq Q \leq 75$ * $3 \leq k_i \leq N$ * All numbers given in input are integers ## Input Input is given from Standard Input in the following format: $N$ $S$ $Q$ $k_{0}$ $k_{1}$ $...$ $k_{Q-1}$ [samples]

API Response (JSON)

{
  "problem": {
    "name": "k-DMC",
    "description": {
      "content": "In Dwango Co., Ltd., there is a content distribution system named 'Dwango Media Cluster', and it is called 'DMC' for short.   The name 'DMC' sounds cool for Niwango-kun, so he starts to define DMC-nes",
      "description_type": "Markdown"
    },
    "platform": "AtCoder",
    "limit": {
      "time_limit": 2525,
      "memory_limit": 262144
    },
    "difficulty": "None",
    "is_remote": true,
    "is_sync": true,
    "sync_url": null,
    "sign": "dwacon5th_prelims_c"
  },
  "statements": [
    {
      "statement_type": "Markdown",
      "content": "In Dwango Co., Ltd., there is a content distribution system named 'Dwango Media Cluster', and it is called 'DMC' for short.  \nThe name 'DMC' sounds cool for Niwango-kun, so he starts to define DMC-nes...",
      "is_translate": false,
      "language": "English"
    }
  ]
}

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