$frame

Angle of attack: $seed_instruction
$ban_block
Generate $k clearly different ideas for this problem, using the angle of attack above.

First write one sentence on what in the angle of attack corresponds to something in the problem, and why. Then give the ideas. For each idea, estimate the probability (between 0 and 1) that a typical person given this problem would come up with it. Include ideas with low probability. The angle of attack is for finding the mechanism. Describe it plainly: the title and description say what people actually do, with no metaphor or imagery borrowed from the angle of attack.

Return only JSON, with no other text:
{"bridge": "...", "ideas": [{"title": "...", "description": "Two or three sentences: what it is and how it works.", "probability": 0.1}]}
