## Legends: solutions

Confused? Impatient? In the spirit of Fifteensquared, this is the answer key to my first cryptic crossword!

Confused? Impatient? In the spirit of Fifteensquared, this is the answer key to my first cryptic crossword!

Recently I've been spending my spare time doing two things: solving cryptic crosswords and playing *Pokémon Legends: Arceus*. The next logical step, then, is to try my hand at compiling my own cryptic crossword themed after the game!

I'm working on a framed set of cross-stitches based on my favourite Pokémon. Here are the patterns I'm working on, at various stages of completion.

*Pokémon Gold* and *Silver*'s roaming legendary beasts move randomly from route to route instead of sticking to a fixed habitat. By analyzing their behaviour using the math of random walks on graphs, I can finally answer a question that's bugged me since childhood: what's the best strategy to find a roaming Pokémon as quickly as possible?

*Pokémon Gold* and *Silver* introduced the roaming legendary beasts: three one-of-a-kind Pokémon that move from route to route instead of sticking to a fixed habitat.

Catching a roaming Pokémon amounts to winning a graph pursuit game — so what can we learn about it from the latest mathematical results?