Suppose you have a bachelor’s degree in Math, and you go to Minnesota university to do a second…

Suppose you have a bachelor’s degree in Math, and you go to Minnesota university to do a second BS degree in Computer Science. Then you would need to take the following courses: ICS 140, 141, 232, 240, 311, 340, 365, 372, 440, 460, 462, 499 The prerequisite relationship among the courses is given by the table below. A “>” in a cell means that you have to take the course in that row after the course in that column; so, for instance, you must take ICS 340 after ICS 240. A “>=” in a cell means that you have to take the course in that row no earlier than the course in that column; so, for instance, you must take ICS 311, 365, 440, 460, 462 no later than the semester you take the ICS 499 capstone. ~ val i140 i141 i232 i240 i311 i340 i365 i372 i440 i460 i462 i499 ICS-140 ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ICS-141 ~ > ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ICS-232 ~ ~ > ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ICS-240 ~ ~ > ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ICS-311 ~ ~ > ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ICS-340 ~ ~ ~ ~ > ~ ~ ~ ~ ~ ~ ~ ~ ICS-365 ~ ~ ~ > > ~ ~ ~ ~ ~ ~ ~ ~ ICS-372 ~ ~ ~ ~ > ~ ~ ~ ~ ~ ~ ~ ~ ICS-440 ~ ~ ~ ~ ~ ~ > ~ > ~ ~ ~ ~ ICS-460 ~ ~ ~ ~ ~ ~ > ~ ~ ~ ~ ~ ~ ICS-462 ~ ~ ~ > ~ ~ > ~ ~ ~ ~ ~ ~ ICS-499 ~ ~ ~ ~ ~ > ~ > > >= >= >= ~ Here is what the “>” and “>=” mean, row by row (some adjacent rows combined) ICS 141 has a prerequisite of ICS 140 ICS 232, 240, and 311 each have a prerequisite of ICS 141 ICS 365 and 462 each have a prerequisite of ICS 232 ICS 340, 365, and 372 each have a prerequisite of ICS 240. ICS 440 and 460 each have a prerequisite of ICS 340. ICS 462 has prerequisites of both ICS 232 and ICS 340. ICS 440 has a prerequisite of ICS 372. ICS 499 has a prerequisite of ICS 311, 340, 365, and 372, and it must be taken after or concurrently with ICS 440, 460, and 462. In other words, ICS 499 [capstone] has to be the last ICS course you take, though you can take other courses concurrently.[1] Part A [12 pts]: Assume that you want to complete within 6 semesters, numbered semesters 0 through 5. Each course is offered the same days each semester. Start with the domain of each course being Dinnn = {0,1,2,3,4,5}. Appendix A contains a graph of the constraint satisfaction problem. Prune the domains as much as possible, and list the pruned domains below. (You may wish to an it arc consistent diagram for this problem. I don’t particularly care to see the graph. I will grade your answers on the next page only.) Solution: Course Pruned domain ICS 140: ICS 141: ICS 232: ICS 240: ICS 311: ICS 340: ICS 365: ICS 372: ICS 440: ICS 460: ICS 462: ICS 499:

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