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For the last one the numbers do not quite work out right.
"2 divisions, 6 teams each, 45 game schedule. 3 games out of division, 6 vs in-division" would be 5*6+6*3=48. Could make it two games against half the interdivision opponents, then do four schedules do get the home/away balance even for the set. But I wanted to get your preference before go ahead with something.
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