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Find the denominator nnn of the rational number kn\frac{k}{n}nk (k,n (k, n(k,n are both positive integers) such that ∣2−kn∣\left|\sqrt{2}-\frac{k}{n} \right|∣∣2−nk∣∣ is the smallest possible, out of all rational numbers with denominators less than 120.120.120.
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