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1962 Varna Olympiad, where he scored 61⁄2 out of 8 games for Yugoslavia, which finished second to the Soviet Union, and the 1970 Siegen Olympiad, where he scored 81⁄2 out of 10 for Yugoslavia, which finished third behind the Soviet Union and Hungary. Minić was also second to Svetozar Gligorić and Ljubomir Ljubojević, Yugoslavia's most prominent grandmasters.