If s is the product of the integers from 100 to 200, inclusive, and t is the product of the integers from 100 to 201, inclusive, what is \frac{1}{s}+\frac{1}{t} in terms of t?
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A\frac{201^2}{t}
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B\frac{202\times201}{t}
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C\frac{201}{t}
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D\frac{202}{t}
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E\frac{202\times201}{t^2}