Bautzen , Upper Sorbian : BudyÅ in Lower Sorbian : BudyÅ yn ( Ë budÉ Ê É n ) ; ) is a city in eastern Saxony , Germany , and capital of the Bautzen Rural District . Bautzen ( ; Upper Sorbian : BudyÅ in ; Lower Sorbian : BudyÅ yn , , ) is a hill-top town in eastern Saxony , Germany , and administrative center of the eponymous district .