Problem Statement: We assume that the standard input contains a sequence of non-zero integers between – 121 and 121, which ends with 0. This sequence will be given by the user. 1. Write an algorithm, called Decomposition_Powers_Three, which produces the decomposition of each integer using powers of 3, namely 1, 3, 9, 27, and 81, and the + and – operators. Each power of 3 should appear at most once in the decomposition. Examples: 1 = 1 2 = 3 – 1 3 = 3 4 = 3 + 1 7 = 9 – 3 + 1 14 = 27 – 9 – 3 – 1 43 = 81 – 27 – 9 – 3 + 1 121 = 81 + 27 + 9 + 3 + 1 2. Show that the algorithm Decomposition_Powers_Three is correct using an informal proof (i.e., discussion). 3. Give a program corresponding to Decomposition_Powers_Three, using any of your favorite programming languages. Observation: The intervals [-121,-41], [-40,-14], [-13,-5], [-4,-2], [-1,-1], [1,1], [2,4], [5,13], [14,40], and [41,121] play a particular role. Deliverables: Students may choose to work in team of up to two members. You should turn in a report explaining all the design decisions and your code should be commented appropriately for readability and understanding. More precisely, a report should include the problem statement, proposed approach/solution along with a detailed discussion, algorithm (high-level description of all the design parts along with some details when necessary), commented code, tests (input given by the user and output generated by your program execution), and lessons learned from such an implementation experience.
We are a professional custom writing website. If you have searched a question and bumped into our website just know you are in the right place to get help in your coursework.
Yes. We have posted over our previous orders to display our experience. Since we have done this question before, we can also do it for you. To make sure we do it perfectly, please fill our Order Form. Filling the order form correctly will assist our team in referencing, specifications and future communication.
2. Fill in your paper’s requirements in the "PAPER INFORMATION" section and click “PRICE CALCULATION” at the bottom to calculate your order price.
3. Fill in your paper’s academic level, deadline and the required number of pages from the drop-down menus.
4. Click “FINAL STEP” to enter your registration details and get an account with us for record keeping and then, click on “PROCEED TO CHECKOUT” at the bottom of the page.
5. From there, the payment sections will show, follow the guided payment process and your order will be available for our writing team to work on it.