Number of points where the function f(...

Number of points where the function
`f(x)={(1+["cos"(pix)/2],1ltxle2),(1-{x},0lexlt1),(|sinpix|,-1lexlt0):}`
and `f(1)=0` is continuous but non differentiable :
(where [.] denotes greatest integer function and {.} denotes fractional part function)

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