CSES - Finding Patterns
  • 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