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Surname Цуцуй (Cucui , Цуцуй ) , in all the world, is a rare last name. The last name Цуцуй is habitual in Romania, where it is quite a rare surname, Argentina, where it is a very rare surname, and Ukraine, where it is an extremely rare surname. In absolute terms, this name is the most popular in Romania, Argentina, and Russia. Very seldom, Цуцуй is the forename as well as the last name.