Organizing Example for Constraint Satisfaction Problem You are organizing the sports club. Today, 7 people came in, but they can't decide which activities to attend to, and they ask you to plan it. 4 Activities: Tennis, Golf, Basketball, Football 7 People (participants): X1,X2, .., X7 Further Notes: - Tennis and Golf is played with 1 person, whereas Basketball and Football can either be played with 1 or 2 people. - Not all of the activities need to take place, which of the activities are going to take place depends on the constraints. - If a participant is on their own (odd numbered and not within a group), they can also take part in a group activity (basketball or football) with strangers. - Every participant can attend to at most 1 activity. They would be assigned to the activity they prefer by default if there are no additional statements. Constraints: - Nobody wants to attend to an activity with strangers. - X1 and X2 are friends. They want to attend to an activity which they can do together. - Golf is popular, so only 2 spaces left today. - X3 does not know how to play basketball, and he does not want to be alone. Otherwise, he won't attend to any activity. - X1 and X4 are friends such that they want to participate in the same activity or not participate at all. - X5 has a passion for tennis, so she either chooses tennis or nothing. - If X6 participates in an activity, he is okay with all except for tennis. - X7 does not want to be in the same program with X6, neither does he want to stay at the bench with him (where both do not participate in any activity). Define all of the variables, domains, and constraints. (consider all constraints as independent statements)