Currently the FamousPerson class defines the natural order of its elements to be based on the alphabetical order of people names (last name, then first name). It also provides a Comparator that defines order based on increasing year of birth. Augment the class to include more public static methods that return Comparators as described below. Augment the CSPeople application to demonstrate that the new Comparators work properly

a. Order alphabetically by name (first name, then last name)
b. Order by year of birth—decreasing
c. Order by length of "fact"—increasing

To save energy, the air supply to a 2000 ft office has been shut off overnight and the room temperature has dropped to 40°f. in the morning, the thermostat is reset to 70°f and warm air at 120 f begins to flov in at 200ft'/min. the air is well mixed within the room, and an equal mass flow of air at room temperature (changing with time) is withdrawn through a return duct. the air pressure is nearly 1 atm everywhere. ignoring heat transfer with the surroundings and kinetic and potential energy effects, estimate how long it takes for the room temperature to reach 70°f. plot the room temperature as a function of time.