Eight senior high-school student clubs need to hold meetings on the first day of school. However, some students belong to more than one of these clubs so clubs that share members cannot meet at the same time. How many different time slots are required so that all members can attend all meetings? An "X" in the table below indicates that the two corresponding clubs share at least one member. Use graph coloring concepts to solve the minimum number of time slots necessary to ensure that all members can attend all meetings. Club Honor Society X Math Club Student Council Science Club Arts Club Debate Club Student Publication Fitness Club X Honor Society Math Club Student Council Science Club Arts Club Debate Club juapnis Publication Fitness Club

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