Third time successful

Logic Level 2

I have nn coins one of which is lighter than all the other (n1)(n-1) coins. The other (n1)(n-1) coins are all of exactly the same mass.

I have to use a weighing balance to find out the light coin.

I am sure that I will only need at most 3 weighings to determine the lighter coin. What is the maximum possible value of nn?

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