In a binary tree, what is the time complexity of traversing all nodes using in-o

Practice Questions

Q1
In a binary tree, what is the time complexity of traversing all nodes using in-order traversal?
  1. O(1)
  2. O(n)
  3. O(log n)
  4. O(n log n)

Questions & Step-by-Step Solutions

In a binary tree, what is the time complexity of traversing all nodes using in-order traversal?
  • Step 1: Understand what a binary tree is. A binary tree is a data structure where each node has at most two children.
  • Step 2: Learn about in-order traversal. In in-order traversal, you visit the left child, then the current node, and finally the right child.
  • Step 3: Realize that during in-order traversal, you will visit each node in the tree exactly once.
  • Step 4: Count the total number of nodes in the binary tree. Let's say there are 'n' nodes.
  • Step 5: Since you visit each of the 'n' nodes once, the time taken to traverse the entire tree is proportional to 'n'.
  • Step 6: Conclude that the time complexity of in-order traversal is O(n).
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