In a Red-Black tree, what property ensures that the tree remains balanced?
Practice Questions
Q1
In a Red-Black tree, what property ensures that the tree remains balanced?
Every node has two children
The root is always black
No two red nodes can be adjacent
All leaves are at the same level
Questions & Step-by-Step Solutions
In a Red-Black tree, what property ensures that the tree remains balanced?
Step 1: Understand what a Red-Black tree is. It is a type of binary search tree that has specific properties to keep it balanced.
Step 2: Learn about the color of the nodes. In a Red-Black tree, each node is either red or black.
Step 3: Know the key property: No two red nodes can be adjacent. This means that if a node is red, its children must be black.
Step 4: Understand how this property helps balance the tree. By preventing two red nodes from being next to each other, the tree avoids long chains of red nodes that could make it unbalanced.
Step 5: Recognize the result of this property: The longest path from the root to a leaf (the longest chain of nodes) is no more than twice as long as the shortest path. This keeps the tree balanced.
