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)
Solution
The space complexity of a Binary Search Tree (BST) is O(n), where n is the number of nodes.
Here's why:
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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.
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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.
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Therefore, for n nodes, we will need space for n values and 2n pointers (since each node has two pointers).
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However, when we talk about space complexity, we drop the constants and consider only the highest order term.
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Therefore, the space complexity of a BST is O(n).
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