Suppose you are choosing between the following three algorithms: • Algorithm A solves problems by dividing them into five subproblems of half the size, recursively solving each subproblem, and then combining the solutions in linear time.
• Algorithm B solves problems of size n by recursively solving two subproblems of size n − 1 and then combining the solutions in constant time.
• Algorithm C solves problems of size n by dividing them into nine sub-problems of size n=3, recursively solving each sub-problem, and then combining the solutions in O(n2) time.
What are the running times of each of these algorithms (in big-O notation), and which would you choose?

Using a conditional expression, write a statement that increments numusers if updatedirection is 1, otherwise decrements numusers. ex: if numusers is 8 and updatedirection is 1, numusers becomes 9; if updatedirection is 0, numusers becomes 7.

This assignment continues work on the online booking facility introduced at the end of chapter- 10. the work will be continued in the assignments for chapters 14 and 15 (a) assume that you will produce your online booking facility using an agile approach. i. suggest the kind of user research you would like to conduct for your product before iteration cycles begin. ii prioritize the requirements for your product according to business value, i.e which requirements are likely to provide the greatest business benefit, and sketch out the ux design work you would expect to undertake during the first four iteration cycles, i.e. cycle 0, and cycles 1 to 3. (b) using one of the mockup tools introduced above, generate a mockup of your product's landing page, as developed in the assignment for chapter-11 (c) using one of the patterns websites listed previously, identify suitable interaction patterns for elements of your product, and develop a software-based prototype that incorporates all the feedback and the results of the user experience mapping achieved at the end of chapter-11. if you do not have experience in using any of these, create a few html web pages to represent the basic structure of your website

In python a floating-point number must be written using scientific notation?