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