In a binary tree, what is the time complexity of finding the height of the tree?

Practice Questions

Q1
In a binary tree, what is the time complexity of finding the height of the tree?
  1. O(n)
  2. O(log n)
  3. O(n log n)
  4. O(1)

Questions & Step-by-Step Solutions

In a binary tree, what is the time complexity of finding the height of the tree?
  • Step 1: Understand what a binary tree is. A binary tree is a structure where each node has at most two children.
  • Step 2: Know what the height of a binary tree means. The height is the number of edges on the longest path from the root node to a leaf node.
  • Step 3: Realize that to find the height, we need to check each node in the tree to see how deep it goes.
  • Step 4: Understand that in the worst case, we might have to visit every single node in the tree to determine the height.
  • Step 5: Since there are 'n' nodes in the tree, the time it takes to find the height is proportional to 'n'.
  • Step 6: Therefore, the time complexity of finding the height of a binary tree is O(n).
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