Package for this problem was not updated by the problem writer or Codeforces administration after we’ve upgraded the judging servers. To adjust the time limit constraint, solution execution time will be multiplied by 2. For example, if your solution works for 400 ms on judging servers, then value 800 ms will be displayed and used to determine the verdict.

Virtual contest is a way to take part in past contest, as close as possible to participation on time. It is supported only ACM-ICPC mode for virtual contests.
If you've seen these problems, a virtual contest is not for you - solve these problems in the archive.
If you just want to solve some problem from a contest, a virtual contest is not for you - solve this problem in the archive.
Never use someone else's code, read the tutorials or communicate with other person during a virtual contest.

No tag edit access

B. Polycarpus is Looking for Good Substrings

time limit per test

4 secondsmemory limit per test

256 megabytesinput

standard inputoutput

standard outputWe'll call string *s*[*a*, *b*] = *s*_{a}*s*_{a + 1}... *s*_{b} (1 ≤ *a* ≤ *b* ≤ |*s*|) a substring of string *s* = *s*_{1}*s*_{2}... *s*_{|s|}, where |*s*| is the length of string *s*.

The trace of a non-empty string *t* is a set of characters that the string consists of. For example, the trace of string "aab" equals {'a', 'b'}.

Let's consider an arbitrary string *s* and the set of its substrings with trace equal to *C*. We will denote the number of substrings from this set that are maximal by inclusion by *r*(*C*, *s*). Substring *s*[*a*, *b*] of length *n* = *b* - *a* + 1 belonging to some set is called maximal by inclusion, if there is no substring *s*[*x*, *y*] in this set with length greater than *n*, such that 1 ≤ *x* ≤ *a* ≤ *b* ≤ *y* ≤ |*s*|. Two substrings of string *s* are considered different even if they are equal but they are located at different positions of *s*.

Polycarpus got a challenging practical task on a stringology exam. He must do the following: given string *s* and non-empty sets of characters *C*_{1}, *C*_{2}, ..., *C*_{m}, find *r*(*C*_{i}, *s*) for each set *C*_{i}. Help Polycarpus to solve the problem as he really doesn't want to be expelled from the university and go to the army!

Input

The first line contains a non-empty string *s* (1 ≤ |*s*| ≤ 10^{6}).

The second line contains a single integer *m* (1 ≤ *m* ≤ 10^{4}). Next *m* lines contain descriptions of sets *C*_{i}. The *i*-th line contains string *c*_{i} such that its trace equals *C*_{i}. It is guaranteed that all characters of each string *c*_{i} are different.

Note that *C*_{i} are not necessarily different. All given strings consist of lowercase English letters.

Output

Print *m* integers — the *i*-th integer must equal *r*(*C*_{i}, *s*).

Examples

Input

aaaaa

2

a

a

Output

1

1

Input

abacaba

3

ac

ba

a

Output

1

2

4

Codeforces (c) Copyright 2010-2017 Mike Mirzayanov

The only programming contests Web 2.0 platform

Server time: Mar/25/2017 02:59:20 (c4).

Desktop version, switch to mobile version.
User lists

Name |
---|