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what is height of complete binary tree

Question

what is height of complete binary tree

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Solution

The height of a complete binary tree is calculated using the formula:

h = log2(n+1)

where:

  • h is the height of the tree
  • n is the number of nodes in the tree
  • log2 is the logarithm base 2

Here are the steps to calculate the height of a complete binary tree:

  1. Count the number of nodes in the tree. This is your 'n' value.
  2. Add 1 to the number of nodes.
  3. Calculate the base 2 logarithm of the result from step 2. This is your 'h' value, which represents the height of the tree.

Please note that the height of a tree is considered as the number of edges in the longest path from the root to a leaf, and the height of an empty tree is typically considered as -1.

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Similar Questions

Tree: Height of a Binary Tree

The height of a binary tree is the maximum number of edges in any root to leaf path. The maximum number of nodes in a binary tree of height h is:a.2^(h+1) -1b.2^h -1c.2^(h-1) – 1d.2*(h+1)

In a complete binary tree if the number of nodes is 1000000. What will be the heightof complete binary tree.

The height of a binary search tree is the length of the ________ path from the root to a leaf.

The height of a binary tree is the number of edges between the tree's root and its furthest leaf. For example, the following binary tree is of height :Function DescriptionComplete the getHeight or height function in the editor. It must return the height of a binary tree as an integer.getHeight or height has the following parameter(s):root: a reference to the root of a binary tree.Note -The Height of binary tree with single node is taken as zero.Input FormatThe first line contains an integer , the number of nodes in the tree.Next line contains space separated integer where th integer denotes node[i].data.Note: Node values are inserted into a binary search tree before a reference to the tree's root node is passed to your function. In a binary search tree, all nodes on the left branch of a node are less than the node value. All values on the right branch are greater than the node value.ConstraintsOutput FormatYour function should return a single integer denoting the height of the binary tree.

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