Limits Continuity And Differentiability

Let \(f:[0,3] \to R\) be defined by \(f(x) = \min \{ x - [x],1 + [x] - x\}\) where [x] is the greatest integer less than or equal to x. Let P denote the set containing all x \(\in\) [0, 3] where f i discontinuous, and Q denote the set containing all x \(\in\) (0, 3) where f is not differentiable. Then the sum of number of elements in P and Q is equal to ______________.