Interesting thoughts! I think I would not be able to participate twice per day, so I'm not sure of this would increase participation, at least from me :) Thinking about it, what about the other way around, a new problem every second day? It would give more time for participation. You could post the solutions in the days between, to also advertise the ongoing tasks?
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Thanks again for your feedback! 😀
How about a rule by which a participant can win only once a day, as to allow the participant who answered correctly to rest? 🤔 That assumes however that the participant is certain about answering the first problem for the day correctly. 😅