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well, it’s a pity that tigers are not more into math…hobbes could have told calvin to play the game with saying “no, higher” or “no, lower”.
by halving each interval, he could have guessed (even for this outrageously big interval) in log2(700,000,000,000) =~ 39.35 that is around 40 guesses.
not that bad, ain’t it? ;o)