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What is the space complexity of storing a linked list with n nodes?

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Question: What is the space complexity of storing a linked list with n nodes?

Options:

  1. O(1)
  2. O(n)
  3. O(n^2)
  4. O(log n)

Correct Answer: O(n)

Solution:

A linked list with n nodes requires O(n) space, as each node stores data and a pointer to the next node.

What is the space complexity of storing a linked list with n nodes?

Practice Questions

Q1
What is the space complexity of storing a linked list with n nodes?
  1. O(1)
  2. O(n)
  3. O(n^2)
  4. O(log n)

Questions & Step-by-Step Solutions

What is the space complexity of storing a linked list with n nodes?
  • Step 1: Understand what a linked list is. A linked list is a data structure made up of nodes, where each node contains data and a reference (or pointer) to the next node.
  • Step 2: Identify how many nodes are in the linked list. In this case, we have 'n' nodes.
  • Step 3: Realize that each node in the linked list requires space to store its data and a pointer to the next node.
  • Step 4: Calculate the total space required. Since there are 'n' nodes and each node takes up a constant amount of space, the total space required is proportional to 'n'.
  • Step 5: Conclude that the space complexity of storing a linked list with n nodes is O(n).
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