Download Problem Solving with Algorithms and Data Structures Using by Bradley N. Miller PDF

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By Bradley N. Miller

THIS TEXTBOOK is ready desktop technological know-how. it's also approximately Python. notwithstanding, there's even more. The research of algorithms and knowledge buildings is imperative to knowing what computing device technology is all approximately. studying machine technology isn't not like studying the other form of tough material. the single solution to be triumphant is thru planned and incremental publicity to the elemental rules. A starting computing device scientist wishes perform in order that there's a thorough knowing prior to carrying on with directly to the extra complicated elements of the curriculum. additionally, a newbie should be given the chance to achieve success and achieve self belief. This textbook is designed to function a textual content for a primary direction on information constructions and algorithms, regularly taught because the moment path within the computing device technological know-how curriculum. even if the second one direction is taken into account extra complex than the 1st path, this e-book assumes you're newcomers at this point. you should still be suffering from the various easy principles and abilities from a primary computing device technology path and but be able to additional discover the self-discipline and proceed to perform challenge fixing. We hide summary info kinds and information constructions, writing algorithms, and fixing difficulties. we glance at a few facts constructions and remedy vintage difficulties that come up. The instruments and strategies that you simply study the following might be utilized repeatedly as you proceed your research of computing device technology.

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Additional info for Problem Solving with Algorithms and Data Structures Using Python SECOND EDITION

Example text

A Fraction Class A very common example to show the details of implementing a user-defined class is to construct a class to implement the abstract data type Fraction. We have already seen that Python provides a number of numeric classes for our use. There are times, however, that it would be most appropriate to be able to create data objects that “look like” fractions. A fraction such as 35 consists of two parts. The top value, known as the numerator, can be any integer. The bottom value, called the denominator, can be any integer greater than 0 (negative fractions have a negative numerator).

For example, my_fraction = Fraction(3,5) creates an object called my_fraction representing the fraction shows this object as it is now implemented. 3 5 (three-fifths). 5 The next thing we need to do is implement the behavior that the abstract data type requires. To begin, consider what happens when we try to print a Fraction object. 4. Fraction object at 0x409b1acc> The Fraction object, my_f, does not know how to respond to this request to print. The print function requires that the object convert itself into a string so that the string can be written to the output.

We can then divide the numerator and the denominator by the GCD and the result will be reduced to lowest terms. The best-known algorithm for finding a greatest common divisor is Euclid’s Algorithm. Euclid’s Algorithm states that the greatest common divisor of two integers ???? and ???? is ???? if ???? divides ???? evenly. However, if ???? does not divide ???? evenly, then the answer is the greatest common divisor of ???? and the remainder of ???? divided by ????. We will simply provide an iterative implementation here.

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