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Cognomen Shugai (Shugai , Шугай , Шугаи ) , worldwide, is quite a rare last name. The surname Shugai is characteristic of Belarus, where it is quite a rare surname, Ukraine, and Rwanda, where it is a rare surname. Measured by absolute frequency, the name is most common in Eastern Europe, particularly Ukraine, Russia, and Belarus. Very seldom, Shugai is the forename as well as the last name.