chapter 3  data structures and algorithms

... count = 13 Push data into a Linked Stack Allocate memory for the new node and set up data count n … top pNew X Update pointers and count: pNew->link = top (1) • Point the new node to the top node ... DEFINITION: A Stack of elements of type T is a finite sequence of elements of T, in which all insertions and deletions are restricted to one end, called the top Stack is a Last In - First Out (LIFO) data ... new node is successful • There is no difference between push data into a stack having elements and push data into an empty stack (top having NULL value is assigned to pNew->link: that’s corresponding...

Ngày tải lên: 06/03/2014, 17:20

... it’s using and before it’s going out of the scope by writing its default constructor and destructor Convert Decimal to Binary Convert() PROBLEM: Read a decimal number and convert ... kind of data, and which data need to be push into the stack? 36 We will see a lot of interesting problems involved backtracking and usage of Stack ADT while studying recursion, trees, and graphs ... it’s type Pre symbol is one of valid symbols in an expression (operand, operator (+, -, *, /), parenthesis symbol) Post output and stackObj have been updated appropriately Case (symbol) of: Left...

Ngày tải lên: 06/03/2014, 17:20

... Faculty - HCMUT 25 01 December 2008 Pseudorandom Key Pseudorandom Number Generator Random Number Modulo Division Address y = ax + c For maximum efficiency, a and c should be prime numbers Cao Hoang ... hash(B) = B and A collide at hash(C) = 17 A [1] [5] B [9] [17] Collision Resolution Cao Hoang Tru CSE Faculty - HCMUT 12 01 December 2008 Basic Concepts Insert A, B, C hash(A) = hash(B) = B and A collide ... Direct hashing • Modulo division • Digit extraction • Mid-square • Folding • Rotation • Pseudo-random Cao Hoang Tru CSE Faculty - HCMUT 15 01 December 2008 Direct Hashing • The address is the...

Ngày tải lên: 06/03/2014, 17:20

... the problem all the way to the base case 30 Designing Recursive Algorithms 31 Designing Recursive Algorithms 32 Designing Recursive Algorithms 33 Fibonacci Numbers 34 Fibonacci Numbers 35 Fibonacci ... declared in the function are created for 10 each recursive call Tree and Stack frames of function calls D E F F E E E 11 Tree and Stack frames of function calls Recursive calls: M M M M M M M M ... factN End RecursiveFactorial 24 Recursive Solution  The recursive definition and recursive solution can be both concise and elegant  The computational details can require keeping track of many...

Ngày tải lên: 15/03/2014, 17:20

... either empty, or it consists of a node called root together with two binary trees called the left and the right subtree of the root Basic operations: • Construct a tree, leaving it empty • Insert ... ) 15 Specifications for Binary Tree • Binary Tree Traversal: Each node is processed once and only once in a predetermined sequence • Depth-First Traverse: preOrderTraverse (refOperation(ref ... BinaryTree A B C D E F G Physical Conceptual i (suitable for complete tree, nearly complete tree, and bushy tree) 2i+1 2i+2 23 Contiguous Implementation of Binary Tree Record Data Parent...

Ngày tải lên: 15/03/2014, 17:20

... between 2h-1 and (2h -1) • Complete tree: n = 2h -1 when last level is full • Nearly complete: All nodes in the last level are on the left • h = |log2 n| + • Can be represented in an array and no pointers ... often called as heap) Basic heap algorithms ReheapUp: repairs a "broken" heap by floating the last element up the tree until it is in its correct location Basic heap algorithms ReheapDown: repairs ... position of the root, and ReheapDown is called for that position 14 Delete minimum element from min-heap 31 The element in the last position is put to the position of the root, and ReheapDown is...

Ngày tải lên: 15/03/2014, 17:20

... 43 Divide -and- conquer sorting Algorithm DivideAndConquer() if (the list has length greater than 1) partition the list into lowlist, highlist lowlist DivideAndConquer() highlist DivideAndConquer() ... between indices low and high to two sublists Pre Post Uses low and high are valid positions in contiguous list, with low= pivot, i can be increased • Otherwise, last_small is increased and two entries at position last_small and i are swapped: 49 Partition Algorithm • When the loop terminates: • At last,...

Ngày tải lên: 15/03/2014, 17:20

... position = loop (position < subroot->count) AND (target>subroot->dataposition) position = position + // Sequential Search if (position < subroot->count) AND (target = subroot->dataposition) return ... > branch End B_Node B_Tree root End B_Tree 20 Methods and Functions SearchTree (calls) recursiveSearchTree SearchNode Insert recursiveInsert splitNode ... Basic Concepts Basic Concepts Trees Trees and Orchard Lexicographic Search Tree Multiway Trees 10 11 M-Way Search Tree 12 13 14 15 B-Tree...

Ngày tải lên: 15/03/2014, 17:20

... M-Way Search Trees • Each node has m - data entries and m subtree pointers • The key values in a subtree such that: – >= the key of the left data entry ... Insertion • Insert the new entry into a leaf node • If the leaf node is overflow, then split it and insert its median entry into its parent Cao Hoang Tru CSE Faculty - HCMUT 17 November 2008 B-Tree ... found -node is pointer to located node entryNo is entry within node if not found -node is null and entryNo is zero Return found Cao Hoang Tru CSE Faculty - HCMUT 28 17 November 2008...

Ngày tải lên: 15/03/2014, 17:20

Ngày tải lên: 12/08/2014, 16:20

... the expression The two short-circuiting operators are AndAlso and OrElse For example, if the first part of an And expression is False and the AndAlso operator is used, the system will evaluate the ... actually designing and implementing problem solutions Two list-oriented data structures that provide easy-to-understand abstractions are stacks and queues Data in a stack are added and removed from ... arithmetic, we wait for two operands to be pushed on the stack before performing an operation At that point, we The Stack Class 105 pop the operands and an operand and perform the specified arithmetic...

Ngày tải lên: 12/08/2014, 16:21

... again and again in the analysis of data structures and algorithms is the summation, which is defined as follows: , 219 where a and b are integers and a ≤ b Summations arise in data structure and ... are interested in the design of "good" data structures and algorithms Simply put, a data structure is a systematic way of organizing and accessing data, and an algorithm is a step-by-step procedure ... data structures and algorithms as "good," we must have precise ways of analyzing them The primary analysis tool we will use in this book involves characterizing the running times of algorithms and...

Ngày tải lên: 14/08/2014, 01:21

... again and again in the analysis of data structures and algorithms is the summation, which is defined as follows: , 219 where a and b are integers and a ≤ b Summations arise in data structure and ... are interested in the design of "good" data structures and algorithms Simply put, a data structure is a systematic way of organizing and accessing data, and an algorithm is a step-by-step procedure ... data structures and algorithms as "good," we must have precise ways of analyzing them The primary analysis tool we will use in this book involves characterizing the running times of algorithms and...

Ngày tải lên: 14/08/2014, 06:22

... array and ArrayLists, linked lists, hash tables, dictionaries, trees, graphs, and sorting and searching algorithms, as well as more advanced algorithms such as probabilistic algorithms and dynamic ... Chapter 14 Advanced Sorting Algorithms 249 Chapter 15 Advanced Data Structures and Algorithms for Searching 263 Chapter 16 Graphs and Graph Algorithms 283 Chapter 17 Advanced Algorithms 314 References ... range from the Array, ArrayList, and Collection classes to the Stack and Queue classes and to the HashTable and the SortedList classes The data structures and algorithms student can now see how...

Ngày tải lên: 22/12/2013, 10:16

... Science and Engineering – HCMUT list count head end list Slide 15 Linked List Algorithms Create list Insert node Delete node Traverse Destroy list Faculty of Computer Science and ... of Computer Science and Engineering – HCMUT Slide 20 Create List Before list ? count ? head list.head = null list.count = After list count head Faculty of Computer Science and Engineering – HCMUT ... this->head = NULL; this->count = 0; } Faculty of Computer Science and Engineering – HCMUT Slide 23 Insert Node Allocate memory for the new node and set up data Point the new node to its successor Point...

Ngày tải lên: 06/03/2014, 17:20

... http://www.ourstillwaters.org/stillwaters/csteaching/DataStructuresAndAlgorithms/preface.htm (3 of 3) [1.7.2001 18:57:42] Data Structures and Algorithms: CHAPTER 1: Design and Analysis of Algorithms Design and Analysis of Algorithms There ... http://www.ourstillwaters.org/stillwaters/csteaching/DataStructuresAndAlgorithms/mf1201.htm (6 of 37) [1.7.2001 18:58:22] Data Structures and Algorithms: CHAPTER 1: Design and Analysis of Algorithms w of newclr and examine the graph ... http://www.ourstillwaters.org/stillwaters/csteaching/DataStructuresAndAlgorithms/mf1201.htm (9 of 37) [1.7.2001 18:58:22] Data Structures and Algorithms: CHAPTER 1: Design and Analysis of Algorithms , and so on) The ADT encapsulates...

Ngày tải lên: 19/03/2014, 13:32

... This second edition of Data Structures and Algorithms in C++ is designed to provide an introduction to data structures and algorithms, including their design, analysis, and implementation In terms ... 1.1.3, and 2.2.5 Sections 2.2.5, 5.1–5.3, 6.1.1, 6.2.1, 6.3, 7.1, 7.3.1, 8.1, 9.1, 9.5, 11.4, and 13.1.1 Chapters and and Sections 6.2.1, 7.3.7, 8.1.2, and 13.3.1 Chapters and Sections 1.7 and 4.2 ... i — #1 i i Data Structures and Algorithms in C++ Second Edition i i i i This page intentionally left blank i i “main” — 2011/1/13 — 9:10 — page iii — #3 i i Data Structures and Algorithms in C++...

Ngày tải lên: 19/03/2014, 14:08