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Luke Donald won the BMW PGA Championship last week and moved up to golf’s Number One ranking for the fourth time, passing Rory McIlroy. This week, Donald and McIlroy are back in the US, where Donald is favored to win The Memorial and Rory is expected to provide the stiffest competition. The two Americans who have the best odds to win The Memorial are some guys named Tiger Woods and Phil Mickelson.

Defending champion Steve Stricker is also back to defend his title, as are many other past winners. Tiger won this tournament three years in a row at the turn of the millennium, then won again in 2009. Other past winners competing this week include Justin Rose, Jim Furyk and Ernie Els.

Here are your 2012 The Memorial odds for all the top competitors:

• Luke Donald, England (World Ranking: 1) 9/1
• Rory McIlroy, Northern Ireland (2) 12/1
• Tiger Woods, USA (9) 14/1 – Won The Memorial in 1999, 2000, 2001 and 2009
• Phil Mickelson, USA (12) 14/1
• Justin Rose, England (6) 16/1 – Won The Memorial in 2010
• Rickie Fowler, USA (19) 18/1
• Steve Stricker, USA (10) 22/1 – Defending Champion at The Memorial
• Bubba Watson, USA (4) 25/1
• Jim Furyk, USA (39) 25/1 – Won The Memorial in 2002
• Webb Simpson, USA (13) 28/1
• Adam Scott, Australia (15) 33/1
• Hunter Mahan, USA (7) 40/1
• Jason Day, Australia (18) 40/1
• Dustin Johnson, USA (20) 40/1
• Keegan Bradley, USA (24) 40/1
• Bo Van Pelt, USA (30) 40/1
• Ernie Els, South Africa (43) 40/1 – Won The Memorial in 2004