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Chapter 11 Data Structures OBJECTIVES After reading this chapter, the reader should be able to: Understand arrays and their usefulness. Understand records and the difference between an array and a record. Understand the concept of a linked list and the difference between an array and a linked list. Understand when to use an array and when to use a linked-list. Data Structures Data structure uses a collection of related variables that can be accessed individually or as a whole. Data structure a scheme for organizing related pieces of data. allowing different operations to be performed on the data. The basic types of data structures include: files lists arrays records trees tables 11.1 ARRAYS Array Array a fixed-size, sequenced collection of elements of the same data type. The subscripts indicate the ordinal number of the element counting from the beginning of the array. Twenty individual variables Figure 11-1 Figure 11-2 Processing individual variables Figure 11-3 Arrays with subscripts and indexes Figure 11-4 Processing an array Figure 11-5 Frequency array Show the number of elements with the same value found in a series of numbers. Figure 11-6 Histogram A pictorial representation of a frequency array. Figure 11-7- Part I Two-dimensional array Memory layout Figure 11-8 Row-major storage 11.2 RECORDS Record Record a collection of related elements, possibly of different types, having a single name. Each element in a record is called a field. Difference all elements – same type Record: elements – same or different types. Array: Figure 11-9 Records Note: The elements in a record can be of the same or different types. But all elements in the record must be related. 11.3 LINKED LISTS Linked list Linked list an ordered collection of data in which each element contains the location of the next element. Each element contains two parts: data and link. The link contains a pointer (an address) that identifies the next element in the list. Singly linked list The link in the last element contains a null pointer, indicating the end of the list. Figure 11-10 Linked lists Figure 11-11 Node Nodes : the elements in a linked list. The nodes in a linked list are called self-referential records. Each instance of the record contains a pointer to another instance of the same structural type. Figure 11-12 Inserting a node Figure 11-13 Deleting a node Figure 11-14 Traversing a list