**Time limit:**1.00 s**Memory limit:**512 MB

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