NEW YORK (CBS News) -- Stars celebrated the beginning of 2013 with performances and lavish parties.

Taylor Swift rang in the new year at Times Square in New York by singing her two hits "Trouble" and "We are Never Ever Getting Back Together" during "Dick Clark's Rockin' Eve with Ryan Seacrest."

Also in Times Square was Train and Singer Carly Rae Jepsen, who both gave performances.

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