The height h of a complete binary tree with N nodes is at most O(log N).

Draw a tree on a piece of paper and traverse it using a pen, writing down all the node depths as you go. Level of 1 is 3 Level of 2 is 2 Level of 3 is 1 Level of 4 is 3 Level of 5 is 2 Time Complexity of getLevel() is O(n) where n is the number of nodes in the given Binary Tree. You are given a pointer, , pointing to the root of a binary search tree. To solve this problem, traverse the tree level-wise and count the nodes in each level.

2^3 = 8, 2^4 = 16, 2^12 = 4096. Binary tree level with maximum number of nodes ... Print the level of the binary tree which has the maximum number of nodes. A binary tree is a recursive data structure where each node can have 2 children at most. With any luck, an algorithm will be clear from there. last level only have one single node). Input Format: First line of input contains N, number of nodes in tree. In the worst case, you will have to keep making recursive calls to the bottom-most leaf nodes (e.g. A complete binary tree is very special tree, it provides the best possible ratio between the number of nodes and the height. We will calculate size of binary tree using breadth first search (bfs) or level order traversal algorithm. We will use a map to store the level wise nodes. 1st Level has 2^1 = 2 nodes. The size of queues can grow upto atmost the maximum number of nodes at any level in the given binary tree. Previous Next If you want to practice data structure and algorithm programs, you can go through data structure and algorithm interview questions. nth Level has 2^n nodes. Approach: Traverse the Binary Tree using Level Order Traversal and queue; During traversal, pop each element out of the queue and push it’s child (if available) in the queue. Level of 3 is 1 Level of 2 is 2 Level of 5 is 2 Level of 1 is 3 Level of 4 is 3 Time Complexity: O (n) where n is the number of nodes in the given Binary Tree. In other words, about half of our nodes are on the last level.. Let's call the number of nodes n, and the height of the tree h. h can also be thought of as the "number of levels.". We process two nodes at a time each from one queue and enqueue left and right child of first popped node into the first queue and right and left child of second popped node into the second queue.

Here, n refers to the maximum number of nodes at any level in the input tree.

level = level + 1, i.e level = 0 + 1 = 1. System.out.println ("\nThis section finds the number of nodes " + "in the tree"); System.out.println ("The BST has " + bst.nodes() + " nodes"); So I was running the search by traveling in order, once I'd get to a node with no children I would delete the current node and return to the parent node and continue.