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Design and Analysis of Algorithm

Unit-1 Introduction: Algorithms, Analyzing Algorithms, Complexity of Algorithms, Growth of Functions, Performance Measurements, Sorting and Order Statistics - Shell Sort, Quick Sort, Merge Sort, Heap Sort, Comparison of Sorting Algorithms, Sorting in Linear Time.  Algorithms -  An algorithm can be defined as a finite set of steps, which has to be followed while carrying out a particular problem. It is nothing but a process of executing actions step by step. An algorithm is a distinct computational procedure that takes input as a set of values and results in the output as a set of values by solving the problem. Characteristics of Algorithms Input:  It should externally supply zero or more quantities. Output:  It results in at least one quantity. Definiteness:  Each instruction should be clear and ambiguous. Finiteness:  An algorithm should terminate after executing a finite number of steps. Effectiveness:  Every instruction should be fundamental to be carried out, in principle, by a per
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