Classroom Scheduling
Time Limit: 1 Second Memory Limit: 32768 KB
It's somewhat natural, at the start of each semester, that we go to some classroom
to have a lesson unwillingly, only to find it filled up with students from another
class. I wonder how they are arranging the resources. So that's why I'm currently
engaged in a classroom scheduling project.
Time being extremely tight, I have to focus on the overall system behaviors,
leaving the core, but difficult part unfinished. That's the classroom auto-arrangement
engine. But I'm not worried, because I can ask for help here.
Let's consider an easier scenario first.
We have many classroom buildings, each belonging to a specific academy. Every
classroom inside is associated with its capacity. Now, at the start of a semester,
we got a lot of course requests by each academy to be scheduled simultaneously
in these classrooms. Certainly, a course can only be scheduled to a classroom
where the number of attending students is no greater than the classroom's capacity.
Note that these courses should be held simultaneously without resource conflicts,
situations such as holding course A on Monday and course B on Tuesday should
not be considered.
The best scheduling plan is defined as follows:
1. The plan must meet a maximum count of course requests.
2. The count of courses not arranged in the building their academy possesses
should be minimized, provided that condition 1 is met. This eases the management
and saves a lot of campus-wide commuting.
Input
There are multiple test cases.
The first line of ease test case contains the number A of academies in the university.
A line with A = 0 ends the input data, and this should not be processed.
Next, there are A lines describing each academy, with an integer C, the count
of classrooms in the building the academy possesses, followed by C integers
not more than 200, stating the capacity of each classroom. The identifier for
each academy starts at one.
Note that the overall number of classrooms in the university is at most 100.
This is followed by R (0 < R <= 100), the count of course requests, and
hence R lines describing each request in the format Ai Si, where Ai stands for
the academy submitting the course request and Si being the total number of students
attending the course.
Output
For each test case, you should produce one line of output, consisting of two numbers separated by exactly one space: the maximum count of course requests met, and the minimum count of course not arranged in the building their academy possesses, out of the total arranged courses.
Sample Input
2 3 100 100 100 3 50 50 50 7 1 50 1 50 1 100 2 50 2 50 2 100 2 200 0
Sample Output
6 2Submit
Source: ZOJ Monthly, May 2003