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Let $f : (-1, 1) \to \mathbb{R}$ be a function defined by $f(x) = \max\left{-|x|, -\sqrt{1 - x^2}\right}$. If $K$ be the set of all points at which $f$ is not differentiable, then $K$ has exactly:
(1) five elements
(2) one element
(3) three elements
(4) two elements
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