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S=11×22+12×32+13×42+⋯\large S = \dfrac{1}{1\times 2^2} + \dfrac{1}{2 \times 3^2} + \dfrac{1}{3 \times 4^2} + \cdotsS=1×221+2×321+3×421+⋯
Find the value of ⌊10000×S⌋\lfloor 10000 \times S \rfloor ⌊10000×S⌋.
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