Let $$f(x) = \min\{1, 1 + x\sin x\}, 0 \leq x \leq 2\pi$$. If $$m$$ is the number of points, where $$f$$ is not differentiable and $$n$$ is the number of points, where $$f$$ is not continuous, then the ordered pair $$(m, n)$$ is equal to

A

$$(2, 0)$$

B

$$(1, 0)$$

C

$$(1, 1)$$

D

$$(2, 1)$$