Fun! I found a path from Piano to Volcano with 80 generated topics!
Piano → Piano torture (evil)
Piano torture → Bechstein Hall (places)
Bechstein Hall → Berlin (places)
Berlin → Germany (broader)
Germany → European Union (broader)
European Union → Europe (broader)
Europe → Continent (broader)
Continent → Eurasia (deeper)
Eurasia → Eurasian Plate (similar)
Eurasian Plate → Eurasian Plate boundary (deeper)
Eurasian Plate boundary → Anatolian Plate boundary (deeper)
Anatolian Plate boundary → North Anatolian Fault (deeper)
North Anatolian Fault → Earthquake hazard (evil)
Earthquake hazard → Natural disaster (broader)
Natural disaster → Pyroclastic flow (deeper)
Pyroclastic flow → Volcanic ash (similar)
Volcanic ash → Volcanology (broader).
Maybe "Which question is solved by E?" or "How many questions are solved by E?" - another way would be "Which question has E as its correct answer? // Which question is answered by E?" or "How many questions are answered by E?"
I personally like the solved wording.
Also another vote for clearer colors about possibility state - for example, the cells are marked green if that specific answer is internally consistent, but it can still be an incorrect solution overall, which means you did not get the correct answer whatsoever.
I think people (myself included) have been trained to think green = good, meaning that answer is correct and shouldn't be moved, you found that one, now work on the others - so an intermediary color as mentioned, like yellow, meaning 'yep that's plausible but not necessarily right' would be a good fit there.
I'm actually alpha testing a more comprehensive chat service for chrome as we speak. If you're interested, shoot me an email at [email protected] - I'd be happy for the feedback.
Try it yourself at www.llmgame.ai