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Puzzle 17: Fake coin amongst 81
In a pile of 81 coins, only one coin is counterfeit and rest 80 are genuine. All genuine coins weigh exactly the same, whereas the counterfeit coin is heavier than the others. A weighing balance machine is available, which can identify which side is heavier, without giving the exact quantified weights.
How will you identify the counterfeit coin in only 4 weighings?