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GATE CSE 2020 Q26: Worst-case time to build a sorted linked list by n insertions

Question

What is the worst case time complexity of inserting nn elements into an empty linked list, if the linked list needs to be maintained in sorted order?

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Answer: C (official GATE 2020 final answer key)

Concept used: Finding the insertion point in a linked list is a linear scan; binary search is not possible.

First step: The ii-th insertion may scan all i−1i - 1 existing nodes; sum this over i=1i = 1 to nn.

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Source: official GATE 2020 CS question paper and final answer key, organised by IIT Delhi. Question paper · Answer key