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What is the space complexity of a Binary Search Tree if n is the number of nodes?O(1)O(log n)O(n)O(n log n)

Question

What is the space complexity of a Binary Search Tree if n is the number of nodes?

  • O(1)
  • O(log n)
  • O(n)
  • O(n log n)
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Solution

The space complexity of a Binary Search Tree (BST) is O(n), where n is the number of nodes.

Here's why:

  1. A BST is a tree data structure where each node has at most two children, referred to as the left child and the right child.

  2. For each node, we have a constant amount of space to store the data (the value), a pointer to the left child, and a pointer to the right child.

  3. Therefore, for n nodes, we will need space for n values and 2n pointers (since each node has two pointers).

  4. However, when we talk about space complexity, we drop the constants and consider only the highest order term.

  5. Therefore, the space complexity of a BST is O(n).

This problem has been solved

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