$frame

Come up with $n ideas for this problem that are both original and useful.

Work in steps. First, think of the ideas most people would suggest. Then push past them: make each idea bolder, more specific, and clearly different from the others and from the obvious ones. Finally, for each idea, estimate the probability (between 0 and 1) that a typical person given this problem would come up with it, and include ideas with low probability.
$avoid
Return only JSON, with no other text:
{"obvious": ["the ideas most people would suggest"], "ideas": [{"title": "...", "description": "Two or three sentences: what it is and how it works.", "probability": 0.1}]}
