What is the minimum and maximum height of a binary tree with n nodes?

What is the minimum and maximum height of a binary tree with n nodes?

If there are n nodes in binary tree, maximum height of the binary tree is n-1 and minimum height is floor(log2n).

What is the maximum height of a binary tree of n nodes?

n-1
Detailed Solution. Concept: In a binary tree, a node can have maximum two children. If there are n nodes in binary tree, maximum height of the binary tree is n-1.

What is the maximum and minimum height of a tree with 28 nodes?

What are the maximum and minimum heights of a tree with 28 nodes? – Quora. Maximum height is 28 (aka a linked list). Minimum height is 2.

What is the maximum number of levels that a binary search tree with 100 nodes can have *?

So, max levels is 99. , works at Google, interested in 10x improvements. Originally Answered: What is the maximum number of levels that a binary search tree with 100 nodes can have?

What will be the maximum and minimum number of nodes in a binary tree of height 3?

Answer: A perfect binary tree of height 3 has 23+1 – 1 = 15 nodes. Therefore it requires 300 bytes to store the tree. If the tree is full of height 3 and minimum number of nodes, the tree will have 7 nodes.

How do you find the maximum height of a binary tree?

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.

What is the maximum possible height of tree?

By analyzing the interplay between these forces, a team of biologists led by George Koch of Northern Arizona University calculated the theoretical maximum tree height, or the point at which opposing forces balance out and a tree stops growing. This point lies somewhere between 400 and 426 feet (122 and 130 m).

What is the minimum number of nodes in a complete binary tree with height 3?

7 nodes
Answer: A perfect binary tree of height 3 has 23+1 – 1 = 15 nodes. Therefore it requires 300 bytes to store the tree. If the tree is full of height 3 and minimum number of nodes, the tree will have 7 nodes.

What is the minimum height for a binary tree with 60 nodes?

2
What is the minimum height for a binary search tree with 60 nodes? Explanation: If there are k nodes in a binary tree, maximum height of that tree should be k-1, and minimum height should be floor(log2k). By using the formula, minimum height must be 2 when there are 60 nodes in a tree.

What is the maximum number of nodes in a binary tree?

If binary tree has height h, minimum number of nodes is n+1 (in case of left skewed and right skewed binary tree). For example, the binary tree shown in Figure 2 (a) with height 2 has 3 nodes. If binary tree has height h, maximum number of nodes will be when all levels are completely full.

What are the rules of binary tree and BST?

All the rules in BST are same as in binary tree and can be visualized in the same way. Que-1. The height of a tree is the length of the longest root-to-leaf path in it. The maximum and the minimum number of nodes in a binary tree of height 5 are: max number of nodes = 2^ (h+1)-1 = 2^6-1 =63.

What is the height of binary tree shown in Figure 1?

Also, the height of binary tree shown in Figure 1 (a) is 4. In a binary tree, a node can have maximum two children. If there are n nodes in binary tree, maximum height of the binary tree is n-1 and minimum height is floor (log2n).

How many children does a binary tree have?

Binary tree Binary tree: Binary tree = a tree where each node has at most 2 children nodes. Example: Left and right child Because each node has at most 2 children nodes, we can label the children distinctly as left and right: Note: Some nodes (e.g. h) have only a left child node.