Data Structures and Algorithms (Software Engineering and by Shi-Kuo Chang

By Shi-Kuo Chang

This can be a superb, up to date and easy-to-use textual content on information buildings and algorithms that's meant for undergraduates in laptop technological know-how and knowledge technology. The 13 chapters, written via a world workforce of skilled academics, hide the elemental thoughts of algorithms and lots of the very important info constructions in addition to the idea that of interface layout. The ebook includes many examples and diagrams. each time applicable, software codes are incorporated to facilitate studying.

This booklet is supported by means of a world team of authors who're specialists on facts buildings and algorithms, via its site, so that either academics and scholars can reap the benefits of their services.

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Prom Fig. 2 it can be seen that if n < = 1, the condition expressed in line (1) is true. Therefore the call of the function factorial with parameter n < 1 executes only lines (1) and (2), which have an execution time equal to 0(1). So for n < 1, the total execution time of the base case is equal to 0(1). For n > 1, the condition of line (1) is false. Therefore the function executes the lines (1) and (4). Line (1) requires an execution time equal to O(l) while line (4) requires an execution time equal to O(l) for the multiplication and assignment statement, and T(n — 1) for the recursive call to factorial.

1. , have a constant execution time equal to 0(1). e. ) The same consideration is valid for instructions such as cin (cout) that copy a number of data from the input file to the output file. We will assume that in all these cases, except when there is a call to a function, the execution time is O(l). For example, in the fragment of Fig. 2, the lines 4-6 have a "weight" equal to O(l). The Running Time of an Algorithm 27 It is also interesting to observe that often, in a program, we can locate blocks of instructions of the same weight to which, using the rule of the sum, we assign the same weight.

A [little] with -A[i]*) temp := ^[little]; A [little] := A[i\; A[i] := temp; 6 7 8 } } Exercises Beginner's Exercises 1. How many ways do you know to compute and compare the execution time of an algorithm? (a) Benchmark and analysis (b) Analysis and execution (c) Compilation and execution 2. A set of test cases representing an algorithm is: (a) A particular execution of a program (b) The results of a program (c) A sample of data that the algorithm uses 3. We say that a program has a linear execution time: (a) If the program has an execution time that does not depend on the dimension of the datum n (b) If the program has an execution time proportional to the dimension of the datum n (c) If the program has an average execution time proportional to the dimension of the datum n 4.

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