Build a DFA that accepts the described language: The set of strings over {a, b} that do not contain the substring aaa. (Hint: design a DFA to accept the complement of the language. Then interchange the accepting and non-accepting states. Make sure that you build a DFA, not an NFA, for this problem.)

Write a program called assignment3 (saved in a file assignment3.java) that computes the greatest common divisor of two given integers. one of the oldest numerical algorithms was described by the greek mathematician, euclid, in 300 b.c. it is a simple but very e↵ective algorithm that computes the greatest common divisor of two given integers. for instance, given integers 24 and 18, the greatest common divisor is 6, because 6 is the largest integer that divides evenly into both 24 and 18. we will denote the greatest common divisor of x and y as gcd(x, y). the algorithm is based on the clever idea that the gcd(x, y) = gcd(x ! y, y) if x > = y and gcd(x, y) = gcd(x, y ! x) if x < y. the algorithm consists of a series of steps (loop iterations) where the “larger” integer is replaced by the di↵erence of the larger and smaller integer. this continues until the two values are equal. that is then the gcd.

You have inserted new slides based on a word outline. how do you format these new slides to match the powerpoint presentation formatting? a. select all slides in the presentation and click format on the home tab. b. select the new slides and click reset on the home tab. c. select all slides in the presentation and click reset on the home tab. d. select the new slides and click format on the home tab.

What makes myhexadecimalnumber a child of mynumber? which methods does myhexadecimalnumber inherit directly from the mynumber class? what can an instance of the mynumber class do? what can an instance of the myhexadecimalnumber class do? which methods are overridden? why are they overridden? how many examples of overloading are there? why was this done? where is the super keyword used? what is it doing? why isn’t the incoming value set immediately in the second myhexadecimalnumber constructor? how many examples can you find of an inherited method being called?