Hadzialic, who is minister for upper secondary school, adult education and training, told a news conference she was stopped by police on the bridge between Denmark and Sweden with 0.2 per mille alcohol in her blood after a dinner in Copenhagen.
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The 0.2 per mille level is Sweden's legal limit for drunk driving, a level that is low compared to that in most other countries.
"I choose to do this because I believe what I have done is that serious," the Social Democrat politician said.
Hadzialic, 29, became Sweden's youngest-ever minister when she was appointed to the center coalition government in 2014. She came as a refugee to Sweden from Bosnia at five years of age with her family.
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