Exercise 2 - More iterative vs. recursive methods 1. Create a new cla.pdf

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Exercise 2 - More iterative vs. recursive methods 1. Create a new class called Abo.java. cS1027 Computer Science Fundamentals II 2. Consider a mathematical series, Abo, defined as: - Abo(n)=0 for n<=0 - Abo(1)=1 - Abo(n)=1+Abo(n/2), if n>1 is even - Abo(n)=2+Abo((n+1)/2), if n>1 is odd 3. In the Abo class, create a static method called rabo (int n ) that uses recursion to calculate the value of Abo(n) for a given integer n. 4. Add a main() method and print out the first 20 Abo numbers in the series, i.e. Abo(0) through Abo(19). Note: the results should be: 0,1,2,4,3,6,5,5,4,8,7,7,6,7,6,6,5,10,9,9 5. Create a method called iabo (int n ) and try to calculate the series iteratively. - It is not impossible to do, but it is much more complex than the recursive method. Why is this algorithm difficult to design using the iterative approach? You do not have to actually figure out how to code this iteratively!.

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