On Unix computers, data is stored in directories. There is one root
directory, and this might have several directories
contained inside of it, each with di fferent names. These directories might
have even more directories contained inside of them,
and so on.
A directory is uniquely identified by its name and its parent directory (the
directory it is directly contained in). This is usually
encoded in a path, which consists of several parts each preceded by a
forward slash ('/'). The final part is the name of the
directory, and everything else gives the path of its parent directory. For
example, consider the path: /home/facebook/people
This refers to the directory with name "people" in the directory described
by "/home/facebook", which in turn refers to the
directory with name "facebook" in the directory described by the path
"/home". In this path, there is only one part, which means it
refers to the directory with the name "home" in the root directory.
To create a directory, you can use the mkdir command. You specify a path,
and then mkdir wi ll create the directory described by
that path, but only if the parent directory al ready exists. For example, i
f you wanted to create the "/home/facebook/people" and
"/home/facebook/tech" directories from scratch, you would need four
commands:
mkdir /home
mkdir /home/facebook
mkdir /home/facebook/people
mkdir /home/facebook/tech
Given the full set of directories already existing on your computer, and a
set of new directories you want to create if they do not
already exist, how many mkdir commands do you need to use?
Input The first line of the input gives the number of test cases, T. T test
cases follow. Each case begins with a line containing two
integers N and M, separated by a space.
The next N lines each give the path of one directory that already exists on
your computer. This list will include every directory
already on your computer other than the root directory. (The root directory
is on every computer, so there is no need to l ist it
explicitly.)
The next M lines each give the path of one directory that you want to
create.
Each of the paths in the input is formatted as in the problem statement
above. Speci fically, a path consists of one or more lower -
case alpha-numeric strings (i .e., strings containing only the symbols
'a'-'z' and '0'-'9'), each preceded by a single forward slash.
These alpha-numeric strings are never empty.
Output For each test case, output one l ine containing "Case #x: y", where x
is the case number (starting from 1) and y is the
number of mkdir you need.
Note: If a directory is listed as being on your computer, then its parent
directory will also be listed, unless the parent is the root
directory.
INPUT
2
1 2
/chicken
/chicken/egg
/chicken
1 3
/a
/a/b
/a/c
/b/b
OUTPUT
Case #1: 1
Case #2: 4
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