When a user modifies the fonts in a message and immediately sees the effect of a font change without actually selecting the font, which Outlook feature is the user witnessing?
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When making changes to optimize part of a processor, it is often the case that speeding up one type of instruction comes at the cost of slowing down something else. for example, if we put in a complicated fast floating-point unit, that takes space, and something might have to be moved farther away from the middle to accommodate it, adding an extra cycle in delay to reach that unit. the basic amdahl's law equation does not take into account this trade-off. a. if the new fast floating-point unit speeds up floating-point operations by, on average, 2ă—, and floating-point operations take 20% of the original program's execution time, what is the overall speedup (ignoring the penalty to any other instructions)? b. now assume that speeding up the floating-point unit slowed down data cache accesses, resulting in a 1.5ă— slowdown (or 2/3 speedup). data cache accesses consume 10% of the execution time. what is the overall speedup now? c. after implementing the new floating-point operations, what percentage of execution time is spent on floating-point operations? what percentage is spent on data cache accesses?

Suppose you and your friend live on the same street d miles away from each other. between your house and your friend’s house there are n motorized scooters positioned at distances x1, x2, . . , xn miles from your house towards your friend’s house. each scooter has a battery that may or may not be fully charged. let’s say that the scooters can take you distances d1, d2, . . , dn miles down the road. each scooter also has a price p1, p2, . . , pn that it takes to activate. any time you encounter another scooter, you may take the new scooter and leave your old scooter behind. there is an additional scooter at your house that you start with and it can go distance d0 miles and it is free to activate: p0 = 0. you wish to go to your friend’s house minimizing the total amount of money spent activating the scooters. design a dynamic programming algorithm that returns the minimum cost to get to your friend’s house using scooters x0, . . , xn.

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