Exercise 9, page 205. just write out the recursive

1. (3 points) Exercise 9, page 205. Just write out the recursive method gcd; you aren’t

required to write or run a test program. 

2. (3 points) Exercise 17, page 209. 

3. (4 points) Draw a recursion tree for the call binarySearch(5, 0, 8). Use the

recursive version of the method found on p. 174 of your textbook.

Label each node of the recursion tree with the indices of the subarray being searched

(given by the parameters first and last). Assume the array values contains the


[-2 1 3 5 7 12 18 20 23]

4. (2 points) How many total calls are made to binarySearch? What is the depth of

recursion for this call? Here depth of recursion = longest path in the recursion tree.

5. (4 points) In class we saw two ways to formulate the choose function, one with two

recursive calls, and another needing only one recursive calls. Write both versions (call

them choose1 and choose2, for the number of recursive calls) as static methods in a

class along with a main method for testing. For both, be sure to check the validity of the

arguments and throw IllegalArgumentException if invalid. Your test will prompt

the user for n and m and return the results of running both versions of choose.  

Record the results of testing your code with arguments (4,2) and (6,4). Then test them for

(15,8) and (35,20).  On some computers the last call may take several minutes.  If any of

your answers are negative, explain why.

6. (2 points) Java provides the primitive type long for integral computations which cannot

be expressed using int.  Long integers hold values from more than 92 quintillion to less

than -92 quintillion.  Rewrite each choose method so that it returns value of type long. 

Rerun each computation from the previous problem and record the results.


7. (2 points) How many total calls are made to choose2(6,4)? What is the depth of

recursion for this call? Use a recursion tree to answer this question (extra credit for

turning in a drawing of the tree).


8. (4 points) For each of the algorithms gcd, contains, binarySearch,

and choose2, say if they are tail recursive or not.

Get 20% Discount on This Paper
Pages (550 words)
Approximate price: -

Try it now!

Get 20% Discount on This Paper

We'll send you the first draft for approval by at
Total price:

How it works?

Follow these simple steps to get your paper done

Place your order

Fill in the order form and provide all details of your assignment.

Proceed with the payment

Choose the payment system that suits you most.

Receive the final file

Once your paper is ready, we will email it to you.

Our Services

Quality Essay Help has stood as the world’s leading custom essay writing services providers. Once you enter all the details in the order form under the place order button, the rest is up to us.


Essay Writing Services

At Quality Essay Help, we prioritize on all aspects that bring about a good grade such as impeccable grammar, proper structure, zero-plagiarism and conformance to guidelines. Our experienced team of writers will help you completed your essays and other assignments.


Admission and Business Papers

Be assured that you’ll definitely get accepted to the Master’s level program at any university once you enter all the details in the order form. We won’t leave you here; we will also help you secure a good position in your aspired workplace by creating an outstanding resume or portfolio once you place an order.


Editing and Proofreading

Our skilled editing and writing team will help you restructure you paper, paraphrase, correct grammar and replace plagiarized sections on your paper just on time. The service is geared toward eliminating any mistakes and rather enhancing better quality.


Technical papers

We have writers in almost all fields including the most technical fields. You don’t have to worry about the complexity of your paper. Simply enter as much details as possible in the place order section.