{'Berkshire Academy', 'Belmont Hill', 'Berwick'}
{'Middlesex'}
Cycle detected: {'King School', 'Notre Dame', 'Valley Regional', 'BB&N', 'Worcester Academy', 'Hopkins', 'NMH', 'Groton', 'Cambridge RLS', 'Lyme/Old Lyme', 'Choate', 'Suffield', "St. Mary's-Lynn", 'Brewster Academy', "St. Mark's", 'Taft', 'Derryfield', 'Medford', 'Nobles', 'Frederick Gunn', 'Middletown', 'Brooks', 'Thayer', 'Pomfret'}
{'Bancroft'}
{'Pingree', 'Eagle Hill'}
{'BU Academy', 'Canterbury', 'Dexter-Southfield', 'Marianapolis Prep'}