In a Red-Black tree, what property ensures that the tree remains approximately b
Practice Questions
Q1
In a Red-Black tree, what property ensures that the tree remains approximately balanced?
Every node is either red or black
The root is always black
Every red node must have two black children
All leaves are black
Questions & Step-by-Step Solutions
In a Red-Black tree, what property ensures that the tree remains approximately 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: Every red node must have two black children. This means that if a node is red, both of its children must be black.
Step 4: Understand why this property is important. It helps to prevent long sequences of red nodes, which can make the tree unbalanced.
Step 5: Realize the effect of this property. Because of the color rules, the longest path from the root to a leaf is not more than twice as long as the shortest path, keeping the tree approximately balanced.
