Let \[ f(x) = (2- \frac{x}{a} )^{ tan(\frac{\pi *x}{2a})} \] for \[ x \neq a \].The value which should be assigned to f at x=a so that it is continuous everywhere is \[ d^{\frac{b}{c}} \]. Calculate \[ \lfloor b+c+d \rfloor \].

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