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H. BerOS File Suggestion
time limit per test
3 seconds
memory limit per test
256 megabytes
input
standard input
output
standard output

Polycarp is working on a new operating system called BerOS. He asks you to help with implementation of a file suggestion feature.

There are $n$ files on hard drive and their names are $f_1, f_2, \dots, f_n$. Any file name contains between $1$ and $8$ characters, inclusive. All file names are unique.

The file suggestion feature handles queries, each represented by a string $s$. For each query $s$ it should count number of files containing $s$ as a substring (i.e. some continuous segment of characters in a file name equals $s$) and suggest any such file name.

For example, if file names are "read.me", "hosts", "ops", and "beros.18", and the query is "os", the number of matched files is $2$ (two file names contain "os" as a substring) and suggested file name can be either "hosts" or "beros.18".

Input

The first line of the input contains integer $n$ ($1 \le n \le 10000$) — the total number of files.

The following $n$ lines contain file names, one per line. The $i$-th line contains $f_i$ — the name of the $i$-th file. Each file name contains between $1$ and $8$ characters, inclusive. File names contain only lowercase Latin letters, digits and dot characters ('.'). Any sequence of valid characters can be a file name (for example, in BerOS ".", ".." and "..." are valid file names). All file names are unique.

The following line contains integer $q$ ($1 \le q \le 50000$) — the total number of queries.

The following $q$ lines contain queries $s_1, s_2, \dots, s_q$, one per line. Each $s_j$ has length between $1$ and $8$ characters, inclusive. It contains only lowercase Latin letters, digits and dot characters ('.').

Output

Print $q$ lines, one per query. The $j$-th line should contain the response on the $j$-th query — two values $c_j$ and $t_j$, where

• $c_j$ is the number of matched files for the $j$-th query,
• $t_j$ is the name of any file matched by the $j$-th query. If there is no such file, print a single character '-' instead. If there are multiple matched files, print any.
Example
Input
4testconteststest..test6ts.st..testcontes.st
Output
1 contests2 .test1 test.1 .test0 -4 test.