E :: Search by template

Time Limit: 10 Seconds    Memory Limit: 65536 KB

The pattern P and the text T are given. They contain the letters of the Latin alphabet (lowercase and uppercase). The pattern may also contain the characters '?', '[', ']', '{' and '}' You must find all the positions where P appears in T.
Each position in the pattern P may contain:
a letter from the Latin alphabet ('a' – 'z', 'A' – 'Z')

the character '?' that can replace any letter (on its place can be any letter)

brackets '['...']', between them there is the set of letters that may be in the current position

brackets '{'...'}', between them there is the set of letters that are not allowed to be in the current position

the letters can be repeated in brackets like [asssa] or {kLLf}.

For example, if the pattern P is A?[bcCc]{De}, then the first letter of a match must be A, the second can be any Latin letter, the third - letter b, c or C, and the fourth can be any Latin letter except D or e.

Input

The first line contains the number of test cases n. Each test consists of two lines. The first line contains the pattern P with no more than 100 characters and 60 positions. The second line contains the text with no more than 10⁶ letters.

Output

For each test case print on a separate line all text positions where the pattern matches, in ascending order (the first letter from the text T is assumed to have the position ‘1’). If the pattern P does not appear in text T, print the message "no match". There must be a single space between each printed position, and no extra space at the beginning/end of line.

Sample Input

3
A?[bcCc]{De}
yAqCpsApbeAocqq
???[QWERTY]
aSdFrQererRTY
{eRT}?
eRTeRTq

Sample Output

2 11
3 8 9 10
no match

Submit

Source: South Eastern European Regional Contest 2011