Algorithms and SearchesRepeat Exercise 23 for the

Chapter 7, Problem 24E

(choose chapter or problem)

$\$ Problem 24E

Algorithms and Searches

Repeat Exercise 23 for the functions

$n,$ $\$ $\sqrt{n}$ log2 $n,$ (log2 $n$ )2 .

Reference: Exercise 23

a. Suppose you have three different algorithms for solving the same problem and each algorithm takes a number of steps that is of the order of one of the functions listed here:

$n$ log2 $n,$ $n$ 3/2, $n$ (log2 $n$ )2.

Which of the algorithms is the most efficient in the long run? Give reasons for your answer.

b. Graph the functions in part (a) together to get a sense of how rapidly each one grows.

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