Finding Patterns

Given a string and patterns, check for each pattern if it appears in the string.

Input

The first input line has a string of length n. The next input line has an integer k: the number of patterns. Finally, there are k lines that describe the patterns. The string and the patterns consist of characters a–z.

Output

For each pattern, print "YES" if it appears in the string and "NO" otherwise.

Constraints

$1 \le n \le 10^5$

$1 \le k \le 5$ \cdot 10^5$

$the total length of the patterns is at most 5 \cdot 10^5$

Example

Input

aybabtu
3
bab
abc
ayba

Output

YES
NO
YES