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What is the time complexity of performing a level-order traversal on a Red-Black

Practice Questions

Q1
What is the time complexity of performing a level-order traversal on a Red-Black Tree?
  1. O(n)
  2. O(log n)
  3. O(n log n)
  4. O(1)

Questions & Step-by-Step Solutions

What is the time complexity of performing a level-order traversal on a Red-Black Tree?
  • Step 1: Understand what a Red-Black Tree is. It is a type of self-balancing binary search tree.
  • Step 2: Know what level-order traversal means. It is a way to visit all the nodes of a tree level by level, starting from the root.
  • Step 3: Realize that during a level-order traversal, you visit each node in the tree exactly once.
  • Step 4: Count the total number of nodes in the tree, which we denote as 'n'.
  • Step 5: Since you visit each of the 'n' nodes once, the time taken for the traversal is proportional to 'n'.
  • Step 6: Conclude that the time complexity for performing a level-order traversal on a Red-Black Tree is O(n).
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