String Searching
Description
You are given an array $s$ consisting of $n$ different strings. Each string consists of $m$ lowercase Latin letters.
You have to respond to $q$ queries. Each query contains a string $t$ of length $m+1$. Count the number of indices $i$, such that the string $t$ can be obtained from the string $s_i$, if it is allowed to insert one letter in an arbitrary position.
The first line contains two integers $n$ and $m$ ($1 \le n \le 10^5$; $1 \le m \le 10$) — the number of strings in the array and the length of each string.
The following $n$ lines contain strings $s_i$. All of the given strings are different.
The next line contains a single integer $q$ ($1 \le q \le 10^5$) — the number of queries.
The following $q$ lines contain query strings $t$ of length $m + 1$.
For each query, print the number of indices $i$, such that a string from the query can be obtained from the string $s_i$, if it is allowed to insert one letter in an arbitrary position.
Input
The first line contains two integers $n$ and $m$ ($1 \le n \le 10^5$; $1 \le m \le 10$) — the number of strings in the array and the length of each string.
The following $n$ lines contain strings $s_i$. All of the given strings are different.
The next line contains a single integer $q$ ($1 \le q \le 10^5$) — the number of queries.
The following $q$ lines contain query strings $t$ of length $m + 1$.
Output
For each query, print the number of indices $i$, such that a string from the query can be obtained from the string $s_i$, if it is allowed to insert one letter in an arbitrary position.
Samples
2 1
a
c
4
aa
ca
mm
cf
1
2
0
1
6 3
dba
abd
cbb
ada
add
bdd
5
ccbb
abdd
adba
bada
dddd
1
3
2
1
0
Note
Explanation of the first test of the example:
- the string a can be transformed into aa by inserting one letter;
- both strings a and c can be transformed into ca by inserting one letter;
- neither a nor c can be transformed into mm by inserting one letter;
- c can be transformed into cf by inserting one letter.