COMPUTER SCIENCE AND ENGINEERING
ALGORITHMS
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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You only look at half the data set
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You eliminate half the data set with each iteration
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You have to search all the values
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It is less efficient with large data sets
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Detailed explanation-1: -The binary search algorithm uses the divide-and-conquer approach, it does not scan every element in the list, it only searches half of the list instead of going through each element, Hence said to be the best searching algorithm because it is faster to execute as compared to Linear search.
Detailed explanation-2: -If you take something that grows quadratically and cut it into two pieces, each of which is half the size as before, it takes one quarter of the initial time to solve the problem in each half, so solving the problem in both halves takes time roughly one half the time required for the brute force solution.
Detailed explanation-3: -Although linear and binary searching produces the same overall results, linear search is best used when the data is not in order, or for smaller lists. However, when the list is much longer and the data is in order, it is far more efficient to calculate the indexes needed to perform a binary search.
Detailed explanation-4: -Both merge sort and quicksort employ a common algorithmic paradigm based on recursion. This paradigm, divide-and-conquer, breaks a problem into subproblems that are similar to the original problem, recursively solves the subproblems, and finally combines the solutions to the subproblems to solve the original problem.