Alan can paint my house in a days, while Bob can paint it in $$\(b\)$$ days. Working together, each at his usual rate, Alan and Bob can paint my house in c days. If $$\(a, b\)$$ and $$\(c\)$$ are different integers, and $$\(a b c=36\)$$, what is the value of $$\(c\)$$ ?

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