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LECTURE 01 Abstract Data Types, Elementary Data Structures and Arrays 2 ABSTRACT DATA TYPES • Abstract Data Type is an organized collection of information and a set of operations used to manage that information. • e.g. Whole numbers (integers) and arithmetic operators for addition, subtraction, multiplication and division. • e.g. Flight reservation Basic operations: find empty seat, reserve a seat, cancel a seat assignment • Data, operations, and relations are studied independent of implementation. • What not how is the focus. Superior Uni- DSA2014 BSSE ADT AND DS 3 • Abstract data type a new type describes properties and operations • Each ADT operation is defined by its inputs and outputs • Collection of elements or we can say information. • Logical form • A data structure is the physical implementation of an ADT. • Each operation associated with the ADT is implemented by one or more subroutines in the implementation. • How collection is stored in memory • Physical/ Concrete form Stack is ADT with push, pop operations, but can we say about stack data structure if I mean I used stack implemented as an array in my algorithm? And why heap isn't ADT Superior Uni- DSA2014 BSSE 4 Data Type ADT: Type Operations Data Items: Logical Form Data Structure: Storage Space Subroutines Data Items: Physical Form Superior Uni- DSA2014 BSSE 4 5 ARRAYS • An array is a series of elements of the same type placed in contiguous memory locations that can be individually referenced by adding an index to a unique identifier • The lowest address corresponds to the first element and the highest address to the last element. • One dimensional array • Two Dimensional array Superior Uni- DSA2014 BSSE 6 Declaring Arrays: type arrayName [ arraySize ]; double balance[10]; Initializing array double balance[5] = {1000.0, 2.0, 3.4, 17.0, 50.0}; Accessing Array Elements: double salary = balance[9]; Superior Uni- DSA2014 BSSE 7 Superior Uni- DSA2014 BSSE 8 Superior Uni- DSA2014 BSSE 9 Superior Uni- DSA2014 BSSE 10 2D ARRAY • Simplest form of multidimensional array • A two-dimensional array can be think as a table, which will have x number of rows and y number of columns • Most high level languages support arrays with more than one dimension. • 2D arrays are useful when data has to be arranged in tabular form. • Higher dimensional arrays appropriate when several characteristics associated with Superior Uni- DSA2014 BSSEdata. 11 Declaring 2D Array type arrayName [ x ][ y ]; Initializing 2D Array: int a[3][4] = { {0, 1, 2, 3} , {4, 5, 6, 7} , {8, 9, 10, 11} }; or int a[3][4] = {0,1,2,3,4,5,6,7,8,9,10,11}; Accessing Two-Dimensional Array Elements: int val = a[2][3]; Superior Uni- DSA2014 BSSE 12 Superior Uni- DSA2014 BSSE