Djokovic, who defeated Federer last month in an epic Wimbledon final for his 16th Grand Slam crown, had the 20-time Grand Slam champion and third seed dropped into his half of the draw.
Djokovic is 26-22 all-time against Federer and 28-26 for his career against Nadal in matches among the Big Three.Djokovic, who beat Juan Martin del Potro in last year's US Open final, will play his first-round match against Spain's 76th-ranked Roberto Carballes Baena. Djokovic defended his title at Wimbledon, the fifth time he has managed the feat at a Grand Slam but one he has not achieved at Flushing Meadows after wins in 2011, 2015 and last year.
Medvedev, who opens against 89th-ranked Prajnesh Gunneswaran of India, is coming off an ATP Cincinnati Masters crown after also reaching US Open tuneup hardcourt finals at Montreal and Washington.
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