Suppose we have problems P1 and P2. Suppose there is a polynomial-time reduction from P1 to P2. a. What can we say about the existence of an efficient algorithm
for deciding P1 if there is an efficient algorithm deciding P2?

b. Can we say the same thing about an efficient algorithm for
deciding P2 if there is an efficient algorithm deciding P1?

(Here an efficient algorithm is one that runs in polynomial-time
in the size of its input).

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