True or False  For each statement below, indicate whether you think it is True or False. If you like, you can provide a description of your answer. 5) Inserting elements into a sorted array is O(n) because you have to find the location to add the new element and then shift the remaining elements 6) If the sorted array gets too large, the performance of binary search becomes O(n) 7) For the delete algorithm, after you find the element to delete, you can make the algorithm run faster by replacing it with the last element in the array 8) If you used binary search to find the element to delete, the performance is still O(n) because you may have to shift all elements

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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True or False 

For each statement below, indicate whether you think it is True or False. If you like, you can provide a description of your answer.

5) Inserting elements into a sorted array is O(n) because you have to find the location to add the new element and then shift the remaining elements

6) If the sorted array gets too large, the performance of binary search becomes O(n)

7) For the delete algorithm, after you find the element to delete, you can make the algorithm run faster by replacing it with the last element in the array

8) If you used binary search to find the element to delete, the performance is still O(n) because you may have to shift all elements

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Question 5: 

The insertion and deletion of elements in a sorted array executes at O(n), because we have to shift all the elements following the element to be inserted or deleted. The first element of array forms the sorted subarray while the others left form unsorted subarray from which we choose an element one by one and "insert" the same in the sorted subarray.   Unless we reach the end of array the same steps are followed.

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