Right String

AtCoder

IDarc140_a

Time2000ms

Memory256MB

Difficulty—

For a string $T$ consisting of lowercase English letters, consider the question below, and let $f(T)$ be the answer. > Find the number of different strings obtained by performing the following operation any number of times: delete the first character from $T$ and append it to the end. You are given a string $S$ of length $N$ consisting of lowercase English letters. You can perform the operation below at most $K$ times (possibly zero). * Choose a character of $S$ and change it to any lowercase English letter. Find the minimum possible value of $f(S)$ after your operations. ## Constraints * $1 \le N \le 2000$ * $0 \le K \le N$ * $S$ is a string of length $N$ consisting of lowercase English letters. * $N$ and $K$ are integers. ## Input Input is given from Standard Input in the following format: $N$ $K$ $S$ [samples]

Samples

Input #1

4 1
abac

Output #1

2

If you change the fourth character `c` to `b` in the first operation, you get $S=$ `abab`, with $f(S)=2$.
$f(S)$ cannot be made $1$ or less in one or fewer operations, so the answer is $2$.

Input #2

10 0
aaaaaaaaaa

Output #2

Input #3

6 1
abcaba

Output #3

API Response (JSON)

{
  "problem": {
    "name": "Right String",
    "description": {
      "content": "For a string $T$ consisting of lowercase English letters, consider the question below, and let $f(T)$ be the answer. > Find the number of different strings obtained by performing the following operat",
      "description_type": "Markdown"
    },
    "platform": "AtCoder",
    "limit": {
      "time_limit": 2000,
      "memory_limit": 262144
    },
    "difficulty": "None",
    "is_remote": true,
    "is_sync": true,
    "sync_url": null,
    "sign": "arc140_a"
  },
  "statements": [
    {
      "statement_type": "Markdown",
      "content": "For a string $T$ consisting of lowercase English letters, consider the question below, and let $f(T)$ be the answer.\n\n> Find the number of different strings obtained by performing the following operat...",
      "is_translate": false,
      "language": "English"
    }
  ]
}

Full JSON Raw Segments