Tính $\dfrac{\dfrac{2012}{1}+\dfrac{2011}{2}+\dfrac{2010}{3}\ \!\!+\ \!\!.\!.\!.+\;\! \dfrac{1}{2012}}{\dfrac{1}{2}+\dfrac{1}{3}+\dfrac{1}{4}\ \!\!+\ \!\!.\!.\!.+\ \;\!\!\dfrac{1}{2012}}$.

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