Data Structures and Algorithms in Java
Data Structures and Algorithms in Java
6th Edition
ISBN: 9781118771334
Author: Michael T. Goodrich
Publisher: WILEY
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Chapter 4, Problem 31R
Program Plan Intro

Running times of Algorithm C:

It is given that for n-element of array X, the Algorithm C executes in O(n) time for even number in X, O(log n) time for odd number in X .

Worst case running time:

The worst-case running time measures the resource required in the algorithm. While calculating the running time it takes the input size of “n” to calculate the algorithm. This running time is referred as worst-case running time.

Best case running time:

The best-case running time measures the usage of resource in at least, at most and average cases. The time complexity is calculated based on the input size of “n”.

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Students have asked these similar questions
Given an n-element sequence of integers, an algorithm executes an O(n)-time computation for each even number in the sequence, and an O(logn)-time computation for each odd number in the sequence. What are the best-case and worst-case running times of this algorithm? Why? Show with proper notations.
2. For a problem we have come up with three algorithms: A, B, and C. Running time of Algorithm A is O(n¹000), Algorithm B runs in 0(2¹) and Algorithm C runs in O(n!). How do these algorithms compare in terms of speed, for large input? Explain why.
Give a recursive (decrease-by-one) algorithm for finding the position of the smallest element in an array of n real numbers. and Determine the running time complexity of this algorithm.

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Data Structures and Algorithms in Java

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