You have 12 cups on a table, all placed facing up. Your objective is to flip over all of the cups.

In each move, you have to flip over exactly 5 cups. For example, you can take 5 cups. If these cups are facing up you can flip then to these cups becomes facing down. If these cups are facing down you can flip then to these cups becomes facing up.

What is the minimum number of moves you need to make in order to make all the cups face down?

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