Limit, Continuity and Differentiability: JEE Main 2023 Mathematics question

Let $f:( - 2,2) \to R$ be defined by $f(x) = \left\{ {\matrix{ {x[x],} & { - 2 < x < 0} \cr {(x - 1)[x],} & {0 \le x \le 2} \cr } } \right.$ where $[x]$ denotes the greatest integer function. If m and n respectively are the number of points in $( - 2,2)$ at which $y = |f(x)|$ is not continuous and not differentiable, then $m + n$ is equal to ____________.