By D. S. Malik
Now in its moment variation of this publication, D.S. Malik brings his confirmed method of C++ programming to the CS2 direction. sincerely written with the coed in brain, this article specializes in info constructions and contains complex subject matters in C++ corresponding to associated Lists and the normal Template Library (STL).
The textual content positive factors considerable visible diagrams, examples, and prolonged Programming Examples, all of which serve to light up tough strategies. entire programming code and transparent exhibit of syntax, clarification, and instance are used in the course of the textual content, and every bankruptcy concludes with a strong workout set.
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Extra info for Data Structures Using C++, 2nd Edition
Then f(n) O(g(n)) ¼ O(n). cg(n) for all n ! 5. It now follows that f(n) ¼ EXAMPLE 1-5 Let f(n) ¼ n2+ 3n + 2, g(n) ¼ n2, n ! 0. Note that 3n + 2 that f(n) ¼ n2+ 3n + 2 n 2+ n 2 Let c ¼ 2 and n0 ¼ 4. Then f(n) n2 for all n ! 4. This implies 2n2¼ 2g(n) for all n ! 4. cg(n) for all n ! 4. It now follows that f(n) ¼ O(g(n)) ¼ O(n2). 1 16 | Chapter 1: Software Engineering Principles and C++ Classes In general, we can prove the following theorem. Here we state the theorem without proof. Theorem: Let f(n) be a nonnegative real-valued function such that f(n) ¼ amnm + amÀ1nmÀ1 + Á Á Á +a1n + a0, where ai’s are real numbers, am 6¼ 0, n !
F (n) ¼ n2 + 5n + 1 f (n) ¼ 4n6 + 3n3 + 1 f (n) ¼ 10n7 + 23 f (n) ¼ 6n15 f (n) f (n) f (n) f (n) f (n) ¼ ¼ ¼ ¼ ¼ O (n) O (n2) O (n6) O (n7) O (n15) EXAMPLE 1-7 Suppose that f(n) ¼ 2log2n + a, where a is a real number. It can be shown that f(n) ¼ O(log2n). EXAMPLE 1-8 Consider the following code, where m and n are int variables and their values are nonnegative: for (int i = 0; i < m; i++) for (int j = 0; j < n; j++) cout << i * j << endl; //Line 1 //Line 2 //Line 3 This code contains nested for loops.
The given values are passed as parameters to the function setTime. The function printTime prints the time, that is, the values of hr, min, and sec. The function incrementSeconds increments the time by one second, the function incrementMinutes increments the time by one minute, the function incrementHours increments the time by one hour, and the function equalTime compares the two times for equality. Constructors C++ does not automatically initialize variables when they are declared. Therefore, when an object is instantiated, there is no guarantee that the data members of the object will be initialized.
Data Structures Using C++, 2nd Edition by D. S. Malik