2780 - [Spoj]8093 Sevenk Love Oimaster

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

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.

Examples

Input

3 3
abcabcabc
aaa
aafe
abc
a
ca

Output

1
3
1
Time Limit 1 second
Memory Limit 128 MB
Stats
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