Which tree structure guarantees that no path from the root to a leaf is more tha
Practice Questions
Q1
Which tree structure guarantees that no path from the root to a leaf is more than twice as long as any other such path?
AVL Tree
Red-Black Tree
Binary Search Tree
B-Tree
Questions & Step-by-Step Solutions
Which tree structure guarantees that no path from the root to a leaf is more than twice as long as any other such path?
Step 1: Understand what a tree structure is. A tree is a way to organize data that has a root (top node) and branches (connections to other nodes).
Step 2: Learn about paths in a tree. A path is the route you take from the root to a leaf (a node with no children).
Step 3: Know what it means for paths to have different lengths. The length of a path is determined by the number of edges (connections) you pass through from the root to the leaf.
Step 4: Recognize the importance of balancing in trees. A balanced tree ensures that no path is too long compared to others, which helps keep operations efficient.
Step 5: Discover Red-Black Trees. These are a type of balanced binary search tree that maintains certain properties to ensure balance.
Step 6: Understand the guarantee of Red-Black Trees. They ensure that the longest path from the root to a leaf is no more than twice as long as the shortest path from the root to any other leaf.
