Cоnstrаint Sаtisfаctiоn Prоblem (CSP). (30 points)You are in charge of scheduling for computer science classes that meet Mondays, Wednesdays, and Fridays. There are 5 classes that meet on these days and 3 professors who will be teaching these classes. You are constrained by the fact that each professor can only teach one class at a time.The classes are:(i) Class 1 - Intro to Programming: meets from 8:00-9:00 am(ii) Class 2 - Intro to Artificial Intelligence: meets from 8:30-9:30 am(iii) Class 3 - Intro to Database Systems: meets from 9:00-10:00 am(iv) Class 4 - Machine Learning: meets from 9:00-10:00 am(v) Class 5 - Natural Language Processing: meets from 9:30-10:30 amThe professors are:(i) Professor A, who is available to teach Classes 3 and 4.(ii) Professor B, who is available to teach Classes 2, 3, 4, and 5.(iii) Professor C, who is available to teach Classes 1, 2, 3, 4, and 5.(a) Formulate this problem as a CSP problem in which there is one variable per class, stating the domains, and constraints. Constraints should be specified implicitly. (10 points)(b) Draw the constraint graph associated with your CSP. (5 points) (c) Show the domains of the variables after running arc-consistency on this constraint graph. (7 points)(d) Give one solution to this CSP. (3 points)(e) Your CSP should look nearly tree-structured. Briefly explain why we might prefer to solve tree-structured CSPs. (5 points)
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