Description

Oimaster and sevenk love each other.

But recently,sevenk heard that a girl named ChuYuXun was dating with oimaster.As a woman's nature, s

evenk felt angry and began to check oimaster's online talk with ChuYuXun. Oimaster talked with Ch

uYuXun n times, and each online talk actually is a string.Sevenk asks q questions like this, "how

many strings in oimaster's online talk contain this string as their substrings?"

有n个大串和m个询问，每次给出一个字符串s询问在多少个大串中出现过

Format

Input

There are two integers in the first line,

the number of strings n and the number of questions q.

And n lines follow, each of them is a string describing oimaster's online talk.

And q lines follow, each of them is a question.

n<=10000, q<=60000

the total length of n strings<=100000,

the total length of q question strings<=360000

Output

For each question, output the answer in one line.

Samples

3 3
abcabcabc
aaa
aafe
abc
a
ca

1
3
1