Analyze the average-case performance of the linear search

Chapter 3, Problem 23E

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QUESTION:

Problem 23E

Analyze the average-case performance of the linear search algorithm, if exactly half the time the element x is not in the list and if x is in the fist it is equally likely to be in any position.

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QUESTION:

Problem 23E

Analyze the average-case performance of the linear search algorithm, if exactly half the time the element x is not in the list and if x is in the fist it is equally likely to be in any position.

ANSWER:

Solution

In this question we have to analyze the average case performance of the linear search algorithm.

Step 1

Case 1

If exactly half the time the element x is not in the list

Since the element is not in the list it’s complexity is

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