{'Nobles', 'Berwick'}
{'Groton'}
{'Brooks'}
Cycle detected: {'Newton Country Day', 'Winsor', 'Hopkins', 'Berkshire Academy', "Miss Porter's", 'Brewster Academy', 'Taft', 'BB&N', 'Pomfret', 'Middlesex', 'Cambridge RLS', "St. Mark's", 'Lyme/Old Lyme', 'Greenwich Academy', 'Choate', 'NMH'}
{'Middletown'}
{'Valley Regional'}
{'Lincoln', 'Derryfield', 'Dexter-Southfield'}
{'Worcester Academy', 'St. Mary Academy-Bay View', 'Thayer'}
{'Greenwich Country Day', "St. Mary's-Lynn"}
{'Canterbury', 'Eagle Hill', 'Marianapolis Prep'}