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To put it simply, not great.
Sam Querrey (No. 18)
Querrey, the American No. 1, is the only player with a decent shot at the second week, and he has not been playing well this clay-court season. But he gets Lukas Lacko in the first round, Jan Hajek or a qualifier in the second round and possibly Gilles Simon (No. 15) in the third round. That's certainly not an impossible path.
If he does make the Round of 16, he'd likely face Roger Federer.
John Isner (No. 19) and Ryan Harrison
Isner and Harrison are in the same section and are scheduled to meet each other in the second round if Isner gets past Carlos Berlocq and Harrison gets past Andrey Kuznetsov.
The winner of that match would likely face No. 12 Tommy Haas, who would be very difficult to get past. With Isner and Harrison both struggling, it's unlikely that they'll make it past the third round.
Others to Watch
James Blake is actually in the draw and is scheduled to face Victor Troicki in the first round. He hasn't played at all this clay-court season and has never made it past the third round at the French, so expectations are limited.
Alex Kuznetsov, the American wild card, faces French wild card Lucas Pouille, ranked No. 323, in the first round. If he gets past that winnable match, he'll most likely face Grigor Dimitrov.