Ex - Taboo

AtCoder

IDabc268_h

Time4000ms

Memory256MB

Difficulty—

You are given a string $S$. Takahashi may perform the following operation $0$ or more times: * Choose an integer $i$ such that $1 \leq i \leq |S|$ and change the $i$\-th character of $S$ to `*`. Takahashi's objective is to make $S$ not contain any of $N$ strings $T_1,T_2,\ldots,T_N$ **as a substring**. Find the minimum number of operations required to achieve the objective. ## Constraints * $1 \leq |S| \leq 5 \times 10^5$ * $1 \leq N$ * $N$ is an integer. * $1 \leq |T_i|$ * $\sum{|T_i|} \leq 5 \times 10^5$ * $T_i \neq T_j$ if $i \neq j$. * $S$ and $T_i$ are strings consisting of lowercase English letters. ## Input Input is given from Standard Input in the following format: $S$ $N$ $T_1$ $T_2$ $\vdots$ $T_N$ [samples]

Samples

Input #1

abcdefghijklmn
3
abcd
ijk
ghi

Output #1

2

If he performs the operation twice by choosing $1$ and $9$ for $i$, $S$ becomes `*bcdefgh*jklmn`; now it does not contain `abcd`, `ijk`, or `ghi` as a substring.

Input #2

atcoderbeginnercontest
1
abc

Output #2

0

No operation is needed.

Input #3

aaaaaaaaa
2
aa
xyz

Output #3

API Response (JSON)

{
  "problem": {
    "name": "Ex - Taboo",
    "description": {
      "content": "You are given a string $S$. Takahashi may perform the following operation $0$ or more times: *   Choose an integer $i$ such that $1 \\leq i \\leq |S|$ and change the $i$\\-th character of $S$ to `*`. T",
      "description_type": "Markdown"
    },
    "platform": "AtCoder",
    "limit": {
      "time_limit": 4000,
      "memory_limit": 262144
    },
    "difficulty": "None",
    "is_remote": true,
    "is_sync": true,
    "sync_url": null,
    "sign": "abc268_h"
  },
  "statements": [
    {
      "statement_type": "Markdown",
      "content": "You are given a string $S$. Takahashi may perform the following operation $0$ or more times:\n\n*   Choose an integer $i$ such that $1 \\leq i \\leq |S|$ and change the $i$\\-th character of $S$ to `*`.\n\nT...",
      "is_translate": false,
      "language": "English"
    }
  ]
}

Full JSON Raw Segments