In a Red-Black tree, what is the maximum number of black nodes on any path from

Practice Questions

Q1
In a Red-Black tree, what is the maximum number of black nodes on any path from the root to a leaf?
  1. 1
  2. 2
  3. 3
  4. It can vary.

Questions & Step-by-Step Solutions

In a Red-Black tree, what is the maximum number of black nodes on any path from the root to a leaf?
  • Step 1: Understand that a Red-Black tree is a type of binary search tree with specific properties.
  • Step 2: Know that in a Red-Black tree, each node is either red or black.
  • Step 3: Remember that the root of the tree is always black.
  • Step 4: Realize that every path from the root to a leaf must have the same number of black nodes.
  • Step 5: Identify that the maximum number of black nodes on any path from the root to a leaf is determined by the height of the tree.
  • Step 6: Conclude that the maximum number of black nodes can vary, but all paths from the root to the leaves will have the same count of black nodes.
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