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Three people get a lot of candy. They decide to split it up tomorrow.

During the night, person #1 gets up divides the pile evenly into thirds, takes his share and gives the one left over to the dog.

Then person #2 divides the pile evenly into thirds, takes his share and gives the one left over to the dog.

Then person #3 gets up divides the pile into even thirds, takes his share and gives the one left over to the dog.

Next morning, they all get up divide the pile into even thirds and give the one left over to the dog.

What is the least number of candies that they could have started with?

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