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AlphaEvolve problems·alphaevolve:66

The function guessing game

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Write a program that is able to guess a hidden function. $f \\colon \\R\\rightarrow \\R$. Your program will receive a reward of $1000$ currency units for every function that it guessed correctly (the $L^1$ norm of the difference between the correct and the guessed functions had to be below a small threshold). To gather information about the hidden function, your program is allowed to (1) evaluate the function at any point for $1$ currency unit, (2) to ask a simple yes/no question from an Oracle who knows the hidden function for $10$ currency units, and (3) to ask any question from a different LLM that does not know the hidden function for $10$ currency units, and optionally execute any code returned by it.

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