Question: 10. [9 points] (a) There is one fake coin in a set of 729 coins. This coin (which is lighter than the genuine coin)

10. [9 points] (a) There is one fake coin in a set

10. [9 points] (a) There is one fake coin in a set of 729 coins. This coin (which is lighter than the genuine coin) should be found by "divide-into-three" algorithm using a balance scale. Determine how many weight comparisons this algorithm will require to identify a fake coin. (b) Answer the question from part (a) if there is one fake coin in a set of 3* coins.

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