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Consider a method called insertElement(string element, int position) in an array-based list data structure. The purpose...

Consider a method called insertElement(string element, int position) in an array-based list data structure. The purpose of this method is to insert an element (of type string) in the array at the given position within the array. This methods works fine for small array-based lists, but is very inefficient for large lists. Briefly explain why the same function is more efficient when implemented using a singly linked list.

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Answer #1

void insertElement(String element, int position)

In an array based list structure, the above method to insert an elemetn at a position is very inefficient, because we need to shift all the elements from the position position+1 to right. When the array size is large, no. of shiftings increase linearly and takes a lot of time. It's time complexity for a single insertion is given by O(N)


This same method, when using linked list becomes highly efficinet, because, inorder to insert a new element, we need to add a new element at the position and adjust links which takes constant time O(1) irrespective of the size of the list. When using linked list based lists, inserting and deleting an element becomes trivial.

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