CMSC 350 HOMEWORK 3
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The document describes 7 homework problems involving recursion and trees: 1) Write a recursive method to print a number's binary representation. 2) Write a recursive method to print a number's representation in a given base. 3) Determine the order of traversing a sample tree in pre-order, post-order, and level-order. 4) Repeat problem 3 but with a different root node. 5) Calculate the maximum number of nodes in a 5-ary tree of a given height. 6) Determine the maximum and minimum height of a 5-ary tree with a given number of nodes. 7) Write a recursive method to list all links in a tree by recursively printing each node and
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The document provides a table of contents and questions on various technical aptitude topics such as data structures, C, C++, quantitative aptitude, UNIX concepts, RDBMS concepts, SQL, computer networks, and operating systems. It contains 35 questions related to data structures concepts like linked lists, trees, graphs, hashing etc. and their applications.
Data structure tree- advance
Common Use of Tree as a Data Structure
ADVANCE
1. Nodes
2. Parent Nodes & Child Nodes
3. Leaf Nodes
4. Root Node
5. Sub Tree
6. Level of a tree:
7. m-ary Tree
8. Binary Tree (BT)
9. Complete and Full Binary Tree
10. Traversal
11. Binary Search Tree (BST)
12. Inorder Traversal – Left_ParentNode_Right
13. Postorder Traversal – Left_Right_ParentNode
14. Preorder Traversal – ParentNode_Left_Right
15. Binary Search Tree (BST)
16. BST - Insert, Delete
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The document contains questions and answers related to binary search trees and graphs. It discusses finding the minimum element in a binary search tree, different tree traversals like preorder, inorder and postorder, properties of binary search trees like the increasing order of inorder traversal and complexity, balance factors of binary trees, cut vertices in graphs, and properties of complete graphs.
Data Structures
This document discusses data structures and binary trees. It begins with basic terminology used in trees such as root, node, degree, levels, and traversal methods. It then explains different types of binary trees including strictly binary trees and complete binary trees. Next, it covers binary tree representations using arrays and linked lists. Finally, it discusses operations that can be performed on binary search trees including insertion, searching, deletion, and traversing nodes using preorder, inorder and postorder traversal methods.
17. Java data structures trees representation and traversal
In this chapter we will discuss tree data structures, like trees and graphs. The abilities of these data structures are really important for the modern programming. Each of this data structures is used for building a model of real life problems, which are efficiently solved using this model.
Data Structure
The binary search is faster than the sequential search. The complexity of binary search is O(log n) whereas the complexity of a sequential search is O(n). Stacks are used to evaluate algebraic or arithmetic expressions using prefix or postfix notations. Heap sort involves creating a max heap from the array and then replacing the root with the last element and rebuilding the heap for the remaining elements, repeating this process to sort the entire array.
Data structure tree - intermediate
Common Use of Tree as a Data Structure
INTERMEDIATE
1. Nodes
2. Parent Nodes & Child Nodes
3. Leaf Nodes
4. Root Node
5. Sub Tree
6. Level of a tree:
7. m-ary Tree
8. Binary Tree (BT)
9. Complete and Full Binary Tree
10. Traversal
11. Binary Search Tree (BST)
12. BST - Insert, Delete
L&NDeltaTalk
This document discusses using the game show Letters and Numbers to illustrate computational and mathematical concepts. It describes implementing versions of the letters and numbers games in Excel/VBA and Delphi to generate all possible expression trees to solve problems. Student feedback on a related assignment was positive, finding the application of algorithms and programming to solve the games' problems interesting. The document concludes Letters and Numbers provides useful examples for showcasing fundamentals of computation and mathematics.
Linked List, Types of Linked LIst, Various Operations, Applications of Linked...
Linked List, Types of Linked LIst,Singly Linked List, Doubly Linked List, Circular Linked List, Various Operations - Create, Display, Search, Insert at end, start, middle, Delete at End, Start, Middle, Applications of Linked List
algorithm Unit 5
The branch and bound method searches a tree model of the solution space for discrete optimization problems. It uses bounding functions to prune subtrees that cannot contain optimal solutions, avoiding evaluating all possible solutions. The method generates the tree in a depth-first manner, and selects the next node to expand (the E-node) based on cost estimates. Common strategies are FIFO, LIFO, and least cost search. The traveling salesman problem can be solved using branch and bound by formulating the solution space as a tree and applying row and column reduction techniques to the cost matrix at each node to identify prunable branches.
Trees unit 3
The document discusses binary tree representation and traversal methods. It provides two main representations of binary trees - array and linked representations. It also describes different types of binary trees like full, complete, left-skewed, and right-skewed trees. The document then explains three common traversal techniques for binary trees - inorder, preorder, and postorder traversals. Algorithms and code snippets are given for each traversal. Finally, applications of binary tree traversals are discussed along with expression trees and converting infix to postfix notation using a stack.
Binary trees
This document introduces binary trees and provides sample code for basic operations like lookups and inserts. It discusses the structure of binary trees, with nodes containing left/right pointers and data. Binary search trees require that all left subtree nodes are less than the parent and right greater. Sample C/C++ code is given for lookup and insert functions that demonstrate the recursive traversal and modification of the tree. The document aims to prepare the reader to solve practice problems of increasing difficulty involving binary trees and pointers.
Data structure-question-bank
Data Structure is a way of collecting and organising data in such a way that we can perform operations on these data in an effective way. Data Structures is about rendering data elements in terms of some relationship, for better organization and storage. For example, we have data player's name "Virat" and age 26. Here "Virat" is of String data type and 26 is of integer data type.
We can organize this data as a record like Player record. Now we can collect and store player's records in a file or database as a data structure. For example: "Dhoni" 30, "Gambhir" 31, "Sehwag" 33
In simple language, Data Structures are structures programmed to store ordered data, so that various operations can be performed on it easily.
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