CS100 Lab4 QuestionsV2(1) [Compatibility Mode] Word (Unlicensed Product) gs Review View Help O Tell me what you want to do OFind AaBbCcDd AaBbCcDd ab ac Replace T Normal T List Para... * Select - Paragraph Styles Editing In 1937, a German mathematician named Lothar Collatz formulated an intriguing hypothesis (it still remains unproven) which can be described in the following way: 1. take any non-negative and non-zero integer number and name it c%; 2. if it's even, evaluate a new c0 as c0 ÷ 23; 3. otherwise, if it's odd, evaluate a new c0 as 3 x c0 + 1; 4. if c0 1, skip to point 2. The hypothesis says that regardless of the inițial value of co, it will always go to 1. Of course, it's an extremely complex task to use a computer in order to prove the hypothesis for any natural number (it may even need artificial intelligence), but you can use Python to check some individual numbers. Maybe you'll even find the one which would disprove the hypothesis. Write a program which reads one natural number and executes the above steps as long as co remains different from 1(cO != 1). Moreover, we'll add another task - we want you to count the steps needed to achieve the goal. Your code should output all the intermediate values of co, too. Hint: the most important part of the problem is how to transform Collatz's idea into a while loop - this is the key to success. Test your code using the data we've provided Example input 15 Example output 46 23 70 35 106 53 160 80 40 20 10 5 16 84 2 1 steps = 17 Example input 16 Example output 9A21 ctonc- KI>I> ']
CS100 Lab4 QuestionsV2(1) [Compatibility Mode] Word (Unlicensed Product) gs Review View Help O Tell me what you want to do OFind AaBbCcDd AaBbCcDd ab ac Replace T Normal T List Para... * Select - Paragraph Styles Editing In 1937, a German mathematician named Lothar Collatz formulated an intriguing hypothesis (it still remains unproven) which can be described in the following way: 1. take any non-negative and non-zero integer number and name it c%; 2. if it's even, evaluate a new c0 as c0 ÷ 23; 3. otherwise, if it's odd, evaluate a new c0 as 3 x c0 + 1; 4. if c0 1, skip to point 2. The hypothesis says that regardless of the inițial value of co, it will always go to 1. Of course, it's an extremely complex task to use a computer in order to prove the hypothesis for any natural number (it may even need artificial intelligence), but you can use Python to check some individual numbers. Maybe you'll even find the one which would disprove the hypothesis. Write a program which reads one natural number and executes the above steps as long as co remains different from 1(cO != 1). Moreover, we'll add another task - we want you to count the steps needed to achieve the goal. Your code should output all the intermediate values of co, too. Hint: the most important part of the problem is how to transform Collatz's idea into a while loop - this is the key to success. Test your code using the data we've provided Example input 15 Example output 46 23 70 35 106 53 160 80 40 20 10 5 16 84 2 1 steps = 17 Example input 16 Example output 9A21 ctonc- KI>I> ']
C++ Programming: From Problem Analysis to Program Design
8th Edition
ISBN:9781337102087
Author:D. S. Malik
Publisher:D. S. Malik
Chapter16: Searching, Sorting And Vector Type
Section: Chapter Questions
Problem 1TF
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