Lexicographical disorder

AtCoder
IDcodefestival_2016_qualB_e
Time6000ms
Memory256MB
Difficulty
There are $N$ strings of lowercase alphabet only. The $i$\-th string is $S_i$. Every string is unique. Provide answers for the $Q$ queries below. The $i$\-th query has the following format: Query: An integer $k_i$ and a string $p_{i,1}p_{i,2}...p_{i,26}$ that results from permuting {`a`$,$`b`$,...,$`z`} are given. Output the sequence of the string $S_{k_i}$ among the $N$ strings in lexicographical order when the literal sequence is $p_{i,1}<p_{i,2}<...<p_{i,26}$. ## Constraints * $1 ≦ N,Q ≦ 100000$ * $1 ≦ |S_i| (1 ≦ i ≦ N)$ * $S_i (1 ≦ i ≦ N)$ is a string of lowercase alphabet. * The sum of $|S_i|$ is no more than $400000$. * Every $S_i$ is unique. * $1 ≦ k_i ≦ N (1 ≦ i ≦ Q)$ * For all $1 ≦ i ≦ Q$, $p_{i,1}p_{i,2}...p_{i,26}$ is a permutation of `abcd...z`. ## Input Inputs are provided from standard inputs in the following form. $N$ $S_1$ : $S_N$ $Q$ $k_1$ $p_{1,1}p_{1,2}...p_{1,26}$ : $k_Q$ $p_{Q,1}p_{Q,2}...p_{Q,26}$ [samples]
Samples
Input #1
5
aa
abbaa
abbba
aaab
aaaaaba
5
1 abcdefghijklmnopqrstuvwxyz
2 bacdefghijklmnopqrstuvwxyz
3 abcdefghijklmnopqrstuvwxyz
4 bacdefghijklmnopqrstuvwxyz
5 abcdefghijklmnopqrstuvwxyz
Output #1
1
2
5
4
2

When the literal sequence is `a` $<$ `b`, sorting the input strings in lexicographical order yields `aa`, `aaaaaba`, `aaab`, `abbaa`, `abbba`. The answers to queries $1$, $3$, and $5$ are thus $1$, $5$, and $2$, respectively.
When the literal sequence is `b` $<$ `a`, sorting the input strings in lexicographical order yields `abbba`, `abbaa`, `aa`, `aaab`, `aaaaaba`. The answers to queries $2$ and $4$ are thus $2$ and $4$, respectively.
Input #2
8
abrakatabra
abadaba
abracadabra
atcoder
grand
contest
ababa
a
6
3 abcdefghijklmnopqrstuvwxyz
6 qwertyuiopasdfghjklzxcvbnm
8 poiuytrewqlkjhgfdsamnbvcxz
2 qazwsxedcrfvtgbyhnujmikolp
1 plokmijnuhbygvtfcrdxeszwaq
4 mnbvcxzasdfghjklpoiuytrewq
Output #2
4
8
2
3
4
7
API Response (JSON)
{
  "problem": {
    "name": "Lexicographical disorder",
    "description": {
      "content": "There are $N$ strings of lowercase alphabet only. The $i$\\-th string is $S_i$. Every string is unique. Provide answers for the $Q$ queries below. The $i$\\-th query has the following format: Query: An ",
      "description_type": "Markdown"
    },
    "platform": "AtCoder",
    "limit": {
      "time_limit": 6000,
      "memory_limit": 262144
    },
    "difficulty": "None",
    "is_remote": true,
    "is_sync": true,
    "sync_url": null,
    "sign": "codefestival_2016_qualB_e"
  },
  "statements": [
    {
      "statement_type": "Markdown",
      "content": "There are $N$ strings of lowercase alphabet only. The $i$\\-th string is $S_i$. Every string is unique.\nProvide answers for the $Q$ queries below. The $i$\\-th query has the following format:\nQuery: An ...",
      "is_translate": false,
      "language": "English"
    }
  ]
}
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