mathematics - 1 Fake Coin among N Amount of coins - Puzzling Stack Exchange

You are given $N$ coins which consists of only $1$ fake coin. You also have a sensitive old-fashioned Pan Balance Scale. You are asked to find the fake coin in totally 5 times weighing on the Pan

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mathematics - What is the perimeter of a pentomino which can tile this heart-shaped board? - Puzzling Stack Exchange

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