6006：Engineer Assignment

In Google, there are many experts of different areas. For example, MapReduce experts, Bigtable experts, SQL experts, etc. Directors need to properly assign experts to various projects in order to make the projects going smoothly.
There are N projects owned by a director. For the $i^{th}$ project, it needs $C_i$ different areas of experts, $a_{i,0}, a_{i,1}, · · · , a_{i,C_i-1}$ respective. There are M engineers reporting to the director. For the $i^{th}$ engineer, he is an expert of $D_i$ different areas, $b_{i,0}, b_{i,1}, ... , b_{i,D_i-1}.$
Each engineer can only be assigned to one project and the director can assign several engineers to a project. A project can only be finished successfully if the engineers expert areas covers the project areas, which means, for each necessary area of the project, there is at least one engineer
masters it.
The director wants to know how many projects can be successfully finished.

The first line of the input gives the number of test cases, T. T test cases follow. Each test case starts with a line consisting of 2 integers, N the number of projects and M the number of engineers. Then N lines follow. The $i^{th}$ line containing the information of the $i^{th}$ project starts
with an integer $C_i$ then $C_i$ integers follow, $a_{i,0}, a_{i,1}, ... , a_{i,C_i-1}$ representing the expert areas needed for the $i^{th}$ project. Then another M lines follow. The $i_{th}$ line containing the information of the $i^{th}$ engineer starts with an integer $D_i$ then $D_i$ integers follow, $b_{i,0}, b_{i,1}, ... , b_{i,D_i-1}$ representing the expert areas mastered by $i^{th}$ engineer.

For each test case, output one line containing “Case #x: y”, where x is the test case number (starting from 1) and y is the maximum number of projects can be successfully finished.

limits

$\bullet 1 ≤ T ≤ 100.$
$\bullet 1 ≤ N, M ≤ 10.$
$\bullet 1 ≤ C_i ≤ 3.$
$\bullet 1 ≤ D_i ≤ 2.$
$\bullet 1 ≤ a_{i,j} , b_{i,j} ≤ 100.$