Which of the following is not a limitation of the binary search algori...
The major limitation of binary search is that there is a need for the sorted array to perform the binary search operation. If the array is not sorted the output is either not correct or maybe after a long number of steps and according to the data structure, the output should come in a minimum number of steps.
Not a limitation of Binary search :Binary search algorithm is not efficient when the data elements are more than 1000.
Which of the following is not a limitation of the binary search algori...
Limitations of the Binary Search Algorithm
There are several limitations to the binary search algorithm, which is a commonly used algorithm for searching elements in a sorted array. However, one of the limitations mentioned in the options, option D, is not accurate. The correct answer is option 'D' because the binary search algorithm remains efficient even when the data elements are more than 1000. Let's explore the other limitations of the binary search algorithm in detail:
a) It must use a sorted array:
- Binary search requires the array to be sorted in order to work correctly. If the array is not sorted, the algorithm will not produce accurate results.
b) Requirement of sorted array is expensive when a lot of insertions and deletions are needed:
- Binary search is not efficient when it comes to inserting or deleting elements from the array. Whenever an element is inserted or deleted, the entire array must be rearranged to maintain the sorted order. This process can be time-consuming and resource-intensive, especially when there are frequent insertions and deletions.
c) There must be a mechanism to access the middle element directly:
- In order to perform binary search, there must be a way to access the middle element of the array directly. This can be achieved by using the index of the middle element or by using pointers to keep track of the beginning and end of the search range. If such a mechanism is not available, the binary search algorithm cannot be applied.
Correct answer: d) Binary search algorithm is not efficient when the data elements are more than 1000:
- This option is not accurate. The efficiency of the binary search algorithm does not significantly decrease when the number of data elements exceeds 1000. In fact, binary search has a time complexity of O(log n), where n is the number of elements in the array. This means that even for larger arrays, the algorithm can quickly narrow down the search range and find the desired element in a relatively small number of comparisons. Therefore, the binary search algorithm remains efficient regardless of the number of data elements, making option D incorrect.
In conclusion, the binary search algorithm has certain limitations such as the requirement of a sorted array, the expense of maintaining sorted order during insertions and deletions, and the need for a mechanism to access the middle element directly. However, the claim that the algorithm is not efficient when the data elements are more than 1000 is incorrect.
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