COLL
COLL corners oriented 2
All four corners are already yellow on top: only their positions change. Recognize the case from the side colors.
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Algorithm
R U' R2 F2 U' R F2 R' U F2 R2 U R'
13 moves. The letters stand for the faces: review the notation.
Set up this case
From a solved cube, yellow on top and green in front, do this scramble: you get exactly this case.
R U' R2 F2 U' R F2 R' U F2 R2 U R'
COLL: other cases
When the yellow cross is already done (always the case in ZZ): one algorithm orients and permutes the four corners. Only an EPLL is left (Ua, Ub, H or Z). 42 cases, sorted by orientation family.
COLL corners oriented 1COLL Sune 1COLL Sune 2COLL Sune 3COLL Sune 4COLL Sune 5COLL Sune 6COLL Antisune 1COLL Antisune 2COLL Antisune 3COLL Antisune 4COLL Antisune 5COLL Antisune 6COLL H 1COLL H 2COLL H 3COLL H 4COLL Pi 1COLL Pi 2COLL Pi 3COLL Pi 4COLL Pi 5COLL Pi 6COLL U 1COLL U 2COLL U 3COLL U 4COLL U 5COLL U 6COLL T 1COLL T 2COLL T 3COLL T 4COLL T 5COLL T 6COLL L 1COLL L 2COLL L 3COLL L 4COLL L 5COLL L 6