GATE | GATE CS 2020 | Question 26

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)

(B)

Θ(n log n)

(C)

Θ(n²)

(D)

Θ(1)

Answer: (C)

Explanation:

If we want to insert n elements into an empty linked list that needs to be maintained in sorted order, the worst-case time complexity would be O(n^2). This is because we would need to traverse the list for each element we want to insert, to find the correct position for the element in the sorted list.

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