The latest reality show has hit the TV: “Cat vs. Dog”.
In this show, a bunch of cats and dogs compete for the very
prestigious Best Pet Ever title.
In each episode, the cats and dogs get to show themselves off,
after which the viewers vote on which pets should stay and
which should be forced to leave the show.
Each viewer gets to cast a vote on two things: one pet which
should be kept on the show, and one pet which should be thrown
out. Also, based on the universal fact that everyone is either
a cat lover (i.e. a dog hater) or a dog lover (i.e. a
cat hater), it has been decided that each vote must name
exactly one cat and exactly one dog.
Ingenious as they are, the producers have decided to use an
advancement procedure which guarantees that as many viewers as
possible will continue watching the show: the pets that get to
stay will be chosen so as to maximize the number of viewers who
get both their opinions satisfied. Write a program to calculate
this maximum number of viewers.
On the first line one positive number: the number of
testcases, at most 100. After that per testcase:
One line with three integers $c$, $d$, $v$ ($1\le c,d\le 100$ and $0\le v\le 500$): the number of
cats, dogs, and voters.
$v$ lines with two
pet identifiers each. The first is the pet that this voter
wants to keep, the second is the pet that this voter wants
to throw out. A pet identifier starts with one of the
characters ‘C’ or ‘D’, indicating whether the pet is a cat or
dog, respectively. The remaining part of the identifier is
an integer giving the number of the pet (between
$1$ and $c$ for cats, and between
$1$ and $d$ for dogs). So for instance,
“D42” indicates dog number
|Sample Input 1
||Sample Output 1
1 1 2
1 2 4