How do you find the height of a full binary tree?
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How do you find the height of a full binary tree?
We get minimum height when binary tree is complete. If you have N elements, the minimum height of a binary tree will be log2(N)+1. For a full binary tree, the maximum height will be N/2. For a non-full binary tree, the maximum height will be N.
How do you find the height of a tree using level order traversal?
We can use level order traversal to find height without recursion. The idea is to traverse level by level. Whenever move down to a level, increment height by 1 (height is initialized as 0). Count number of nodes at each level, stop traversing when the count of nodes at the next level is 0.
How do you find the height of a tree without recursion?
Find the Height of a tree without Recursion
- Approach is quite similar to Level Order Traversal which uses Queue.
- Take int height =0.
- Here we will use NULL as a marker at every level, so whenever we encounter null, we will increment the height by 1.
- First add root to the Queue and add NULL as well as its marker.
What is the maximum height of a full binary tree with 101 vertices?
50
(H) If T is a full binary tree with 101 vertices, its max- imum height is 50. (I) If T is a full binary tree with 50 leaves, its minimum height is 6.
What is the height of a binary tree?
The height of the binary tree is the longest path from root node to any leaf node in the tree. For example, the height of binary tree shown in Figure 1(b) is 2 as longest path from root node to node 2 is 2.
How do you print the height of a binary tree?
The height of a binary tree is found using the recursive Depth-First Search (DFS) algorithm, as shown below:
- Base case: If there is no node, return 0.
- Else: If there are 1 or 2 children, return the maximum of the height of the left and right sub-trees, plus 1 to account for the current node.
What is the height of binary tree?