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The set of exhaustive values of x satisf...

The set of exhaustive values of `x` satisfying the equation `[sin x]+[cos x]=[4sin x cos x]`, `x in [0,(pi)/(2))` is `(0,(p pi)/(r))uu((q pi)/(r),(pi)/(2))` (where "[.]" represents greatest integer function,and `p` and `r` as well as `q` and `r` are coprime to each other) .The value of `|p+q-r|` is

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