This answer clears the bar for at least some prize money to be paid out, though the amount will depend on how far other answers go by the deadline.
One thing which would make it stronger would be to provide a human-interpretable function for each equivalence class (so Alice can achieve the channel capacity by choosing among those functions).
The suggestions for variants of the problem are good suggestions, and good solutions to those variants would probably also qualify for prize money.
This answer clears the bar for at least some prize money to be paid out, though the amount will depend on how far other answers go by the deadline.
One thing which would make it stronger would be to provide a human-interpretable function for each equivalence class (so Alice can achieve the channel capacity by choosing among those functions).
The suggestions for variants of the problem are good suggestions, and good solutions to those variants would probably also qualify for prize money.