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

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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.

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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).

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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.

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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.