Question: 14. The problem is to sort a list containing n distinct integers that range in value from 1 to kn inclusive where k is a

14. The problem is to sort a list containing n distinct integers that range in value from 1 to kn inclusive where k is a fixed positive integer. Design an algorithm to solve the problem in (n) time.

15. Two algorithms take respectively 1000log n and 10n² time where the base of logarithms is 2. Compute the value of n at which the first algorithms begins to show faster performance.

16. Assume you have an algorithm of complexity n and a computer that takes one unit of time to execute the algorithm when n=1000. If you buy a new computer that runs 1000 times faster, for what value of n would you be able to execute your algorithm in one unit of time? How will your answer change if you have algorithms of complexity n³ and 10ⁿ respectively?

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