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Give a linear-time algorithm to sort the ratios of n given pairs of integers between 1 and n. I. e., we need to sort, within O(n) time, n pairs of the form (ai , bi) where 1 ≀ ai ≀ n and 1 ≀ bi ≀ n using the sort key ai bi . Prove both run-time and correctness.

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Give a linear-time algorithm to sort the ratios of n given pairs of integers between 1 and n. I. e.,...
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