To determine a secret integer between 1 and N is your objective. You consistently make guesses for integers from 1 to N. You can determine whether your guesses match the secret integer after each one (and the game stops). In the absence of such, you discover if the new guess is warmer (closer to) or cooler (far from) the secret number than your prior one. Create an algorithm that requires no more than 2 lg N guesses to discover the secret number. Then create a algorithm that can discover the secret number in no more than 1 lg N guesses.

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