There are only seven possible orientations for the corners (plus one solved). Since we can ignore edges (there are none), we can use a few algs that are shorter than usual.
|U||F (R U R' U') F'||This is just the easy T orientation, also known as "Edges Bar."|
|T||(R U R' U') (R' F R F')||This is the other T-orientation.|
|L||F (R U') (R' U' R U) (R' F')||This is the orientation that makes up the first half of the Y-perm.|
|S||(R U R' U) (R U2 R')||This is just the standard Sune.|
|As||(R U2 R' U') (R U' R')||This is the Antisune.|
|Pi||F (R U R' U') (R U R' U') F'||For this one, I just do one of the "L" orientations. It's just F (R U R' U')*2 F'.|
|H||R2 U2 R U2 R2||This is a special 2x2 algorithm that only requires 5 moves, so it's pretty nice.|