Dart competitions in pubs often have prizes for the first, second, third
and fourth best throwers.
What is the order of play for a darts tournament involving
n throwers that:
a) identifies the best k throwers (and their order);
b) has the least number of matches thrown;
c) has the least number of games on each of m dartboards
(since tournaments typically run in parallel);
d) and is the most exciting (that is, prize
winners should be discovered at the last possible minute
so that everyone stays drinking beer until the end of the tournament).