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1Computing Exercise 1.1. Draw a binary tree with the minimum possible depth to: a. Distinguish among the numbers 0, 1, 2, . . . , 15. Solution. There are sixteen (24 ) different numbers, so the minimum.

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Complexity Analysis: Since in order to compute depth, we end up visiting each node recursively, therefore the time complexity is T O(n). Space complexity is O(n), the space cost incurred on the stack size because of recursion calls.

The answer to the question "How to find minimum value in a Binary Search Tree (BST)": always go to the left until finding a node without a left child . This node will have minimum value in a BST .

A binary tree T with N levels is complete if all levels except possibly the last are completely full, and the last level has all its nodes to the left side. The following is an excerpt from Algorithms: It (logN) is also the depth of a complete binary tree with N nodes. (More precisely: ⌊logN⌋.)

The height or maximum depth of a binary tree is the total number of edges on the longest path from the root node to the leaf node. In other words, the height of a binary tree is equal to the maximum number of edges from the root to the most distant leaf node. The height of an empty tree or tree with one node is 0.

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

The average depth of a node in a randomly constructed binary search tree is O(log n).

The depth of complete binary tree of n nodes will be Dn=log 2 (n+1). Here Dn is the height or depth of the tree and n is the number of nodes.

The minimum depth of a binary tree is the number of nodes from the root node to the nearest leaf node. The minimum depth of this tree is 3; it is comprised of nodes 1, 2, and 4. Let's look at solutions to calculate the minimum depth of a given binary tree.

The algorithm uses recursion to calculate the maximum height: Recursively calculate the height of the tree to the left of the root. Recursively calculate the height of the tree to the right of the root. Pick the larger height from the two answers and add one to it (to account for the root node).

If there are n nodes in binary tree, maximum height of the binary tree is n-1 and minimum height is floor(log2n). For example, left skewed binary tree shown in Figure 1(a) with 5 nodes has height 5-1 = 4 and binary tree shown in Figure 1(b) with 5 nodes has height floor(log25) = 2.

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Form Packages
Adoption
Bankruptcy
Contractors
Divorce
Home Sales
Employment
Identity Theft
Incorporation
Landlord Tenant
Living Trust
Name Change
Personal Planning
Small Business
Wills & Estates
Packages A-Z
Form Categories
Affidavits
Bankruptcy
Bill of Sale
Corporate - LLC
Divorce
Employment
Identity Theft
Internet Technology
Landlord Tenant
Living Wills
Name Change
Power of Attorney
Real Estate
Small Estates
Wills
All Forms
Forms A-Z
Form Library
Customer Service
Terms of Service
DMCA Policy
About Us
Blog
Affiliates
Contact Us
Privacy Notice
Delete My Account
Site Map
All Forms
Search all Forms
Industries
Forms in Spanish
Localized Forms
Legal Guides
Real Estate Handbook
All Guides
Prepared for You
Notarize
Incorporation services
Our Customers
For Consumers
For Small Business
For Attorneys
Our Sites
US Legal Forms
USLegal
FormsPass
pdfFiller
signNow
airSlate workflows
DocHub
Instapage
Social Media
Call us now toll free:
1-877-389-0141
As seen in:
  • USA Today logo picture
  • CBC News logo picture
  • LA Times logo picture
  • The Washington Post logo picture
  • AP logo picture
  • Forbes logo picture
© Copyright 1997-2025
airSlate Legal Forms, Inc.
3720 Flowood Dr, Flowood, Mississippi 39232