Consider the following Java method: static public int fido(int n) // pre: n is a positive integer // post: result is the nth term from the sequence // 1, 3, 7, 15, 31, 63, 127, ... { int result = 1; if (n > 1) result = 1+fido(n-1)+fido(n-1); // assertion: the above if condition was tested // fido(n) times while computing result return result; } a. What does it compute? b. Prove or disprove the informal assertion following the if statement. c. What is the time complexity of the method? d. Why is fido an appropriate name for this method?

Consider the following Java method: static public int fido(int n) // pre: n is a positive integer // post: result is the nth term from the sequence // 1, 3, 7, 15, 31, 63, 127, ... { int result = 1; if (n > 1) result = 1+fido(n-1)+fido(n-1); // assertion: the above if condition was tested // fido(n) times while computing result return result; } a. What does it compute? b. Prove or disprove the informal assertion following the if statement. c. What is the time complexity of the method? d. Why is fido an appropriate name for this method?

Programming Logic & Design Comprehensive

9th Edition

ISBN:9781337669405

Author:FARRELL

Publisher:FARRELL

Chapter9: Advanced Modularization Techniques

Section: Chapter Questions

Problem 13RQ

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