The Rangers took a 1-0 lead in the first period on a goal by Brian Boyle, but Datsyuk tied it in the second and Cleary put the Wings in front with just over 2 minutes remaining in the third. Draper's goal was an empty-netter in the final seconds.
Henrik Lundqvist turned back 28 shots for the Rangers, who have dropped four of their last five games.
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