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I'm quote-posting because I don't want to spoil the puzzle, but I do want to talk about it as there's some lovely mathematics - especially in the "what changes make tgis work" part. So here's your chance to have a go beforehand, or to mute this thread. I'll post my thoughts below shortly.

Sam Blatherwick@blatherwicksam.bsky.social

Ash, Blur, The Cure and Daft Punk decide to go on tour. They play 4 different venues, Aberdeen, Belfast, Cardiff and Dorking. Each night they rotate their venues, so Ash play in Aberdeen the first night and Belfast the next and so on... Daft Punk start in Dorking then go to Aberdeen and so on...

Aaagh! I wrote out my thoughts in a long multi-post thread, went off the app to get a link, and my thread vanished! I'm going to have to write it as a blog post.

Ludwig^1: There's too many variables! Mathematicians: hold my beer. ^1: Latest TV detective, who is a newspaper puzzle setter and is based in Cambridge. This tells you all you need to know.