UPDATE (1 May): So far, there have been no complete
solutions for the April riddle. The riddle will therefore run one extra month,
but with the following hint:
What if the choice of
This month's riddle is a variation (I hope, a simplification) over a riddle I heard from Noga Alon, who, in turn, heard it from Peter Winkler (who is, for those who don't know this already, a highly recommended source of many good riddles). When Noga asks it, the question is one line long, but I like it better this way:
The African Cyclone frog has several species, each characterized by a
distribution, As part of the frogs' mating rituals, frogs of the same species occasionally compete against each other. Each starts from some point and takes a certain number of hops. The winner is the frog that gets farthest away from its starting position.
Things get more complicated, however, because African Cyclone frogs have no
sense of direction. At each hop, the frogs jump in an arbitrary direction in
R
The question: given the hop-distance distribution,
You may safely ignore ties, which can only occur in positive probability
if All answers should be accompanied by a proof, of course. |
## List of solvers:Hu Han (3 May 19:20) |

Elegant and original solutions can be submitted to the puzzlemaster at __riddlesbrand.scso.com__.
Names of solvers will be posted on this page. Notify if you don't want
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The solution will be published at the end of the month.

Enjoy!