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