Which algorithm is used to find the height of a binary tree?

Practice Questions

Q1
Which algorithm is used to find the height of a binary tree?
  1. Depth-first search
  2. Breadth-first search
  3. Dynamic programming
  4. Greedy algorithm

Questions & Step-by-Step Solutions

Which algorithm is used to find the height of a binary tree?
  • Step 1: Understand what a binary tree is. A binary tree is a structure where each node has at most two children, called the left child and the right child.
  • Step 2: Know what height means. The height of a binary tree is the number of edges on the longest path from the root node to a leaf node.
  • Step 3: Learn about Depth-First Search (DFS). DFS is a method for exploring all the nodes in a tree by going as deep as possible down one branch before backtracking.
  • Step 4: Use recursion to implement DFS. In this case, you will write a function that calls itself to explore each child node of the binary tree.
  • Step 5: Calculate the height. For each node, the height is 1 plus the maximum height of its left and right children. If a node has no children, its height is 0.
  • Step 6: Return the height of the tree after exploring all nodes.
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