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In some simplistic DBMS named PreQueL, the only column type allowed is CHAR(1) (a single character), and furthermore, its values are restricted to English upper-case letters ('A' to 'Z'). Table may contain up to 9 columns, numbered from 1 to 9. Tables themselves are named with lower-case English letters ('a' to 'z').
The only database query possible first joins all the tables, then selects some rows according to conditions in one of two forms: either
<column1>=<column2>, for example
b1=c4. All conditions must hold simultaneously, as if they were connected by 'AND' operator.
You must write a PreQueL processor, which, given a tables and a set of conditions, will produce query result, i.e. those rows of a join satisfying all the conditions. Resulting rows must be sorted alphabetically.
The first line of input file contains of two integers number of tables T and number of conditions D.
Starting from the second line there are T tables represented with number of rows RN and number of columns CN in the first line of a table, which is followed by RN lines consisting of exactly CN characters each. D lines with conditions follow the whole set of tables.
Output file contains result rows, one row per line. No input query will produce more than 1000 rows.
2 2 3 2 AX BX BY 2 3 ACD BCC a1=b1 a2=X