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Novak Djokovic and Roger Federer could meet in semi-finals of Wimbledon.
Defending champion Djokovic will begin his quest for a fourth title against Briton's James Ward on Centre Court on Monday with the winner playing either Kyle Edmund or Adrian Mannarino in the second round.
Federer, meanwhile, opens up against Argentina's Guido Pella and he could face Djokovic in the semi-final if both men reach the last four at SW19.
Andy Murray has been handed an all-British tie in the first-round with the former champion paired him with Liam Broady.
Murray has been drawn in the same half as Kei Nishikori and Richard Gasquet and could be in line to meet Stan Wawrinka in the semi-final.
Elsewhere, Serena Williams has been drawn against a qualifier in the first round and is in the same half as two-time winner Petra Kvitova, while her sister Venus is in the bottom half of the draw along with Angelique Kerber and Garbine Muguruza.
French Open winner Muguruza will take on Camila Giorgi in the first round with Radwanska starting her tournament against Kateryna Kozlova.
Wimbledon notable first-round ties:
Novak Djokovic (Srb) (1) v James Ward (Gbr)
Lukas Rosol (Cze) v Sam Querrey (USA) (28)
Philipp Kohlschreiber (Ger) (21) v Pierre-Hugues Herbert (Fra)
Pablo Carreno-Busta (Esp) v Milos Raonic (Can) (6)
Roger Federer (Sui) (3) v Guido Pella (Arg)
Evgeny Donskoy (Rus) v Alexandr Dolgopolov (Ukr) (30)
Gael Monfils (Fra) (17) v Jeremy Chardy (Fra)
Janko Tipsarevic (Srb) v Gilles Simon (Fra) (16)
Marin Cilic (Cro) (9) v Brian Baker (USA)
Samuel Groth (Aus) v Kei Nishikori (Jpn) (5)
Dominic Thiem (Aut) (8) v Florian Mayer (Ger)
Ivan Dodig (Cro) v Tomas Berdych (Cze) (10)
Roberto Bautista Agut (Esp) (14) v Jordan Thompson (Aus)
Fernando Verdasco (Esp) v Bernard Tomic (Aus) (19)
Liam Broady (Gbr) v Andy Murray (Gbr) (2)
Serena Williams (USA) (1) v QUALIFIER
Sloane Stephens (USA) (18) v Shuai Peng (Chn)
Caroline Wozniacki (Den) v Svetlana Kuznetsova (Rus) (13)
Timea Bacsinszky (Sui) (11) v QUALIFIER
Alison Riske (USA) v Roberta Vinci (Ita) (6)
Agnieszka Radwanska (Pol) (3) v Kateryna Kozlova (Ukr)
Dominika Cibulkova (Svk) (19) v Mirjana Lucic-Baroni (Cro)
Monica Puig (Pur) v Johanna Konta (Gbr) (16)
Petra Kvitova (Cze) (10) v Sorana Cirstea (Rou)
Tsvetana Pironkova (Bul) v Belinda Bencic (Sui) (7)
Simona Halep (Rou) (5) v Anna Karolina Schmiedlova (Svk)
Laura Siegemund (Ger) v Madison Keys (USA) (9)
Karolina Pliskova (Cze) (15) v Yanina Wickmayer (Bel)
Laura Robson (Gbr) v Angelique Kerber (Ger) (4)
Venus Williams (USA) (8) v Donna Vekic (Cro)
Camila Giorgi (Ita) v Garbine Muguruza (Esp) (2)