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If f(x)={{:(px+sqrtq,x ge2),(x^(2)-5x+6,...

If `f(x)={{:(px+sqrtq,x ge2),(x^(2)-5x+6,2 lt xlt3),((ax)^(2)+bx+1, x ge 3):}` is differentiable everywhere, then `|p|+|q|+|(1)/(a)|+|(1)/(b)|` is equal to

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