What is the worst case time complexity of inserting n elements into an empty linked list, if the linked list needs to be maintained in sorted order?a)Θ(n logn)b)Θ(n )c)Θ(1)d)Θ(n2)Correct answer is option 'A'. Can you explain this answer?

Question

What is the worst case time complexity of inserting n elements into an empty linked list, if the linked list needs to be maintained in sorted order?a)&Theta;(n logn)b)&Theta;(n )c)&Theta;(1)d)&Theta;(n2)Correct answer is option 'A'. Can you explain this answer?

Answer

The worst case time complexity of inserting n elements into an empty linked list, if the linked list needs to be maintained in sorted order, is O(n^2).

This is because for each element to be inserted, we need to traverse the entire linked list to find the correct position to insert the element in sorted order. In the worst case scenario, the element to be inserted may need to be inserted at the beginning of the linked list, so we would need to traverse the entire list n times. Therefore, the time complexity would be O(n * n) = O(n^2).

Similar GATE Doubts

What is the worst case time complexity of inserting n2 elements into an AVL-tree with n elements initially?

In a balanced binary search tree with n elements, what is the worst case time complexity of reporting all elements in range [a, b]? Assume that the number of reported elements is k.

An AVL tree is constructed by inserting the following sequence of elements into empty AVL tree. After building an AVL tree, if an element ‘4’ is deleted from it, find how many levels are present in the AVL tree.7, 4, 9, 5, 4.5, 6, 5.5, 5.2

Top Courses for GATE

Suggested Free Tests

Related Content

Mock Test Series

Subject-wise Courses

Other Engg Branches

Related Exams

Company