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F2L, OLL and PLL Algorithm

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 Page 1


 
 
 
 
F2L Algorithms (First 2 Layers) 
 
 
 
  
 
Algorithm Presentation Format 
 
 
 
 
 
 
Basic Inserts  
 
U (R U' R') 
y' U' (R' U R) 
y U' (L' U L) 
 
 
y' (R' U' R)  
y (L' U' L)  
(R U R') 
 
 
F2L Case 1  
 
U' (R U' R' U) y' (R' U' R)  
y' U (R' U' R U') (R' U' R) 
U' (R U R' U) (R U R') 
 
 
U' (R U2' R' U) y' (R' U' R)  
U' (R U2' R') d (R' U' R) 
R' U2' R2 U R2' U R 
y' U (R' U2 R) U' y (R U R') 
(R U' R' U) (R U' R') U2 (R U' R') 
 
 
y' U (R' U R U') (R' U' R) U' (R U' R' U) (R U R') 
 
 
F2L Case 2 
 
(U' R U R') U2 (R U' R') 
y' (U R' U' R) U2' (R' U R) 
d (R' U' R) U2' (R' U R) 
Note – (y' U) and (d) are interchangeable 
 
 
U' (R U2' R') U2 (R U' R') 
y' U (R' U2 R) U2' (R' U R) 
d (R' U2 R) U2' (R' U R) 
 
 
F2L Case 3  
 
U (R U2 R') U (R U' R') y' U' (R' U2 R) U' (R' U R) 
 
 
U2 (R U R' U) (R U' R') 
(R U' R') U2 (R U R') 
y' U2 (R' U' R) U' (R' U R) 
F' L' U2 L F 
Note – The second algorithm is fewer moves, 
but less intuitive and less finger-friendly. 
 
 
Suggested algorithm here  
Alternative algorithms here 
 Set up F2L pair // Solve F2L pair 
It is not recommended to learn any of these 
algorithms before learning intuitive F2L. 
 
The black part of each algorithm sets up the pieces to 
a basic insertion case, which is then written in blue. 
Page 2


 
 
 
 
F2L Algorithms (First 2 Layers) 
 
 
 
  
 
Algorithm Presentation Format 
 
 
 
 
 
 
Basic Inserts  
 
U (R U' R') 
y' U' (R' U R) 
y U' (L' U L) 
 
 
y' (R' U' R)  
y (L' U' L)  
(R U R') 
 
 
F2L Case 1  
 
U' (R U' R' U) y' (R' U' R)  
y' U (R' U' R U') (R' U' R) 
U' (R U R' U) (R U R') 
 
 
U' (R U2' R' U) y' (R' U' R)  
U' (R U2' R') d (R' U' R) 
R' U2' R2 U R2' U R 
y' U (R' U2 R) U' y (R U R') 
(R U' R' U) (R U' R') U2 (R U' R') 
 
 
y' U (R' U R U') (R' U' R) U' (R U' R' U) (R U R') 
 
 
F2L Case 2 
 
(U' R U R') U2 (R U' R') 
y' (U R' U' R) U2' (R' U R) 
d (R' U' R) U2' (R' U R) 
Note – (y' U) and (d) are interchangeable 
 
 
U' (R U2' R') U2 (R U' R') 
y' U (R' U2 R) U2' (R' U R) 
d (R' U2 R) U2' (R' U R) 
 
 
F2L Case 3  
 
U (R U2 R') U (R U' R') y' U' (R' U2 R) U' (R' U R) 
 
 
U2 (R U R' U) (R U' R') 
(R U' R') U2 (R U R') 
y' U2 (R' U' R) U' (R' U R) 
F' L' U2 L F 
Note – The second algorithm is fewer moves, 
but less intuitive and less finger-friendly. 
 
 
Suggested algorithm here  
Alternative algorithms here 
 Set up F2L pair // Solve F2L pair 
It is not recommended to learn any of these 
algorithms before learning intuitive F2L. 
 
The black part of each algorithm sets up the pieces to 
a basic insertion case, which is then written in blue. 
 
  
 
 
 
Incorrectly Connected Pieces  
 
y' (R' U R) U2' y (R U R') 
(R U R') U2 (R U' R' U) (R U' R')  
(R U' R' U2) y' (R' U' R) 
U F (R U R' U') F' (U R U' R')                  
 
 
(R U2 R') U' (R U R') y' (R' U2 R) U (R' U' R) 
 
 
U (R U' R' U') (R U' R' U) (R U' R') 
(R U R' U2') (R U R' U') (R U R')  
y' U' (R' U R U) (R' U R U') (R' U R) 
F (U R U' R') F' (R U' R') 
 
 
 
Corner in Place, Edge in U Face  
 
U' F' (R U R' U') R' F R 
R' F' R U (R U' R') F 
U (R U' R') U' (F' U F) 
U (R U' R') (F R' F' R) 
 
 
(R U' R' U) (R U' R') y' (R' U R U') (R' U R) 
 
 
y' (R' U' R U) (R' U' R) 
(R' F R F') U (R U' R') 
(R U R' U') (R U R') 
 
 
Edge in Place, Corner in U face  
 
(R U' R' U) y' (R' U R) 
U' (R' F R F') (R U' R') 
(U R U' R') (U R U' R') (U R U' R') 
 
 
(U' R U' R') U2 (R U' R') U (R U R') U2 (R U R') 
 
 
(U' R U R') U y' (R' U' R) U (F' U' F) U' (R U R') 
 
 
Edge and Corner in Place  
 
Solved Pair (R U' R') d (R' U2 R) U2' (R' U R)  
 
 
(R U' R' U') R U R' U2 (R U' R') 
(R U R' U') R U2 R' U' (R U R') 
(R U' R' U) (R U2' R') U (R U' R') 
(R U R') U2' (R U' R' U) (R U R') 
 
 
(F' U F) U2 (R U R' U) (R U' R') 
(R U' R') F (R U R' U') F' (R U' R') 
(R U R' U') (R U' R') U2 y' (R' U' R) 
 
 
 
 
 
 
 
Page 3


 
 
 
 
F2L Algorithms (First 2 Layers) 
 
 
 
  
 
Algorithm Presentation Format 
 
 
 
 
 
 
Basic Inserts  
 
U (R U' R') 
y' U' (R' U R) 
y U' (L' U L) 
 
 
y' (R' U' R)  
y (L' U' L)  
(R U R') 
 
 
F2L Case 1  
 
U' (R U' R' U) y' (R' U' R)  
y' U (R' U' R U') (R' U' R) 
U' (R U R' U) (R U R') 
 
 
U' (R U2' R' U) y' (R' U' R)  
U' (R U2' R') d (R' U' R) 
R' U2' R2 U R2' U R 
y' U (R' U2 R) U' y (R U R') 
(R U' R' U) (R U' R') U2 (R U' R') 
 
 
y' U (R' U R U') (R' U' R) U' (R U' R' U) (R U R') 
 
 
F2L Case 2 
 
(U' R U R') U2 (R U' R') 
y' (U R' U' R) U2' (R' U R) 
d (R' U' R) U2' (R' U R) 
Note – (y' U) and (d) are interchangeable 
 
 
U' (R U2' R') U2 (R U' R') 
y' U (R' U2 R) U2' (R' U R) 
d (R' U2 R) U2' (R' U R) 
 
 
F2L Case 3  
 
U (R U2 R') U (R U' R') y' U' (R' U2 R) U' (R' U R) 
 
 
U2 (R U R' U) (R U' R') 
(R U' R') U2 (R U R') 
y' U2 (R' U' R) U' (R' U R) 
F' L' U2 L F 
Note – The second algorithm is fewer moves, 
but less intuitive and less finger-friendly. 
 
 
Suggested algorithm here  
Alternative algorithms here 
 Set up F2L pair // Solve F2L pair 
It is not recommended to learn any of these 
algorithms before learning intuitive F2L. 
 
The black part of each algorithm sets up the pieces to 
a basic insertion case, which is then written in blue. 
 
  
 
 
 
Incorrectly Connected Pieces  
 
y' (R' U R) U2' y (R U R') 
(R U R') U2 (R U' R' U) (R U' R')  
(R U' R' U2) y' (R' U' R) 
U F (R U R' U') F' (U R U' R')                  
 
 
(R U2 R') U' (R U R') y' (R' U2 R) U (R' U' R) 
 
 
U (R U' R' U') (R U' R' U) (R U' R') 
(R U R' U2') (R U R' U') (R U R')  
y' U' (R' U R U) (R' U R U') (R' U R) 
F (U R U' R') F' (R U' R') 
 
 
 
Corner in Place, Edge in U Face  
 
U' F' (R U R' U') R' F R 
R' F' R U (R U' R') F 
U (R U' R') U' (F' U F) 
U (R U' R') (F R' F' R) 
 
 
(R U' R' U) (R U' R') y' (R' U R U') (R' U R) 
 
 
y' (R' U' R U) (R' U' R) 
(R' F R F') U (R U' R') 
(R U R' U') (R U R') 
 
 
Edge in Place, Corner in U face  
 
(R U' R' U) y' (R' U R) 
U' (R' F R F') (R U' R') 
(U R U' R') (U R U' R') (U R U' R') 
 
 
(U' R U' R') U2 (R U' R') U (R U R') U2 (R U R') 
 
 
(U' R U R') U y' (R' U' R) U (F' U' F) U' (R U R') 
 
 
Edge and Corner in Place  
 
Solved Pair (R U' R') d (R' U2 R) U2' (R' U R)  
 
 
(R U' R' U') R U R' U2 (R U' R') 
(R U R' U') R U2 R' U' (R U R') 
(R U' R' U) (R U2' R') U (R U' R') 
(R U R') U2' (R U' R' U) (R U R') 
 
 
(F' U F) U2 (R U R' U) (R U' R') 
(R U' R') F (R U R' U') F' (R U' R') 
(R U R' U') (R U' R') U2 y' (R' U' R) 
 
 
 
 
 
 
 
 
Notation 
 
       
R R' R2 r r' x y 
       
       
U U' U2 u u' z M 
      
        
F F' L L' B B' D D' 
 
Page 4


 
 
 
 
F2L Algorithms (First 2 Layers) 
 
 
 
  
 
Algorithm Presentation Format 
 
 
 
 
 
 
Basic Inserts  
 
U (R U' R') 
y' U' (R' U R) 
y U' (L' U L) 
 
 
y' (R' U' R)  
y (L' U' L)  
(R U R') 
 
 
F2L Case 1  
 
U' (R U' R' U) y' (R' U' R)  
y' U (R' U' R U') (R' U' R) 
U' (R U R' U) (R U R') 
 
 
U' (R U2' R' U) y' (R' U' R)  
U' (R U2' R') d (R' U' R) 
R' U2' R2 U R2' U R 
y' U (R' U2 R) U' y (R U R') 
(R U' R' U) (R U' R') U2 (R U' R') 
 
 
y' U (R' U R U') (R' U' R) U' (R U' R' U) (R U R') 
 
 
F2L Case 2 
 
(U' R U R') U2 (R U' R') 
y' (U R' U' R) U2' (R' U R) 
d (R' U' R) U2' (R' U R) 
Note – (y' U) and (d) are interchangeable 
 
 
U' (R U2' R') U2 (R U' R') 
y' U (R' U2 R) U2' (R' U R) 
d (R' U2 R) U2' (R' U R) 
 
 
F2L Case 3  
 
U (R U2 R') U (R U' R') y' U' (R' U2 R) U' (R' U R) 
 
 
U2 (R U R' U) (R U' R') 
(R U' R') U2 (R U R') 
y' U2 (R' U' R) U' (R' U R) 
F' L' U2 L F 
Note – The second algorithm is fewer moves, 
but less intuitive and less finger-friendly. 
 
 
Suggested algorithm here  
Alternative algorithms here 
 Set up F2L pair // Solve F2L pair 
It is not recommended to learn any of these 
algorithms before learning intuitive F2L. 
 
The black part of each algorithm sets up the pieces to 
a basic insertion case, which is then written in blue. 
 
  
 
 
 
Incorrectly Connected Pieces  
 
y' (R' U R) U2' y (R U R') 
(R U R') U2 (R U' R' U) (R U' R')  
(R U' R' U2) y' (R' U' R) 
U F (R U R' U') F' (U R U' R')                  
 
 
(R U2 R') U' (R U R') y' (R' U2 R) U (R' U' R) 
 
 
U (R U' R' U') (R U' R' U) (R U' R') 
(R U R' U2') (R U R' U') (R U R')  
y' U' (R' U R U) (R' U R U') (R' U R) 
F (U R U' R') F' (R U' R') 
 
 
 
Corner in Place, Edge in U Face  
 
U' F' (R U R' U') R' F R 
R' F' R U (R U' R') F 
U (R U' R') U' (F' U F) 
U (R U' R') (F R' F' R) 
 
 
(R U' R' U) (R U' R') y' (R' U R U') (R' U R) 
 
 
y' (R' U' R U) (R' U' R) 
(R' F R F') U (R U' R') 
(R U R' U') (R U R') 
 
 
Edge in Place, Corner in U face  
 
(R U' R' U) y' (R' U R) 
U' (R' F R F') (R U' R') 
(U R U' R') (U R U' R') (U R U' R') 
 
 
(U' R U' R') U2 (R U' R') U (R U R') U2 (R U R') 
 
 
(U' R U R') U y' (R' U' R) U (F' U' F) U' (R U R') 
 
 
Edge and Corner in Place  
 
Solved Pair (R U' R') d (R' U2 R) U2' (R' U R)  
 
 
(R U' R' U') R U R' U2 (R U' R') 
(R U R' U') R U2 R' U' (R U R') 
(R U' R' U) (R U2' R') U (R U' R') 
(R U R') U2' (R U' R' U) (R U R') 
 
 
(F' U F) U2 (R U R' U) (R U' R') 
(R U' R') F (R U R' U') F' (R U' R') 
(R U R' U') (R U' R') U2 y' (R' U' R) 
 
 
 
 
 
 
 
 
Notation 
 
       
R R' R2 r r' x y 
       
       
U U' U2 u u' z M 
      
        
F F' L L' B B' D D' 
 
 
 
 
 
 
 
 
OLL Algorithms (Orientation of Last Layer) 
 
 
 
 
 
 
Algorithm Presentation Format 
 
 
 
 
 
 
All Edges Oriented Correctly  
 
 
R U2 R' U' R U' R' 
y' R' U' R U' R' U2 R 
 
OCLL6 - 26 - Probability = 1/54 
R U R' U R U2' R' 
y' R' U2' R U R' U R 
 
OCLL7 - 27 - Probability = 1/54 
 
 
(R U2 R') (U' R U R') (U' R U' R')  
y (R U R' U) (R U' R' U) (R U2' R')  
 
OCLL1 - 21 - Probability = 1/108 
R U2' R2' U' R2 U' R2' U2' R  
 
OCLL2 - 22 - Probability = 1/54 
 
 
(r U R' U') (r' F R F')  
y (R U R D) (R' U' R D') R2' 
 
OCLL4 - 24 - Probability = 1/54 
y F' (r U R' U') r' F R  
x (R' U R) D' (R' U' R) D x' 
 
OCLL5 - 25 - Probability = 1/54 
 
 
R2 D (R' U2 R) D' (R' U2 R') 
y2 R2' D' (R U2 R') D (R U2 R) 
 
OCLL3 - 23 - Probability = 1/54 
  
 
 
T-Shapes 
 
 
(R U R' U') (R' F R F')  
 
T1 - 33 - Probability = 1/54 
F (R U R' U') F'  
 
T2 - 45 - Probability = 1/54 
 
 
 
 
 
 
Suggested algorithm here  
Alternative algorithms here 
 
OLL Case Name - Probability = 1/x 
 
 
Round brackets are used to segment algorithms to 
assist memorisation and group move triggers. 
 
It is recommended to learn the algorithms in the 
order presented. 
Page 5


 
 
 
 
F2L Algorithms (First 2 Layers) 
 
 
 
  
 
Algorithm Presentation Format 
 
 
 
 
 
 
Basic Inserts  
 
U (R U' R') 
y' U' (R' U R) 
y U' (L' U L) 
 
 
y' (R' U' R)  
y (L' U' L)  
(R U R') 
 
 
F2L Case 1  
 
U' (R U' R' U) y' (R' U' R)  
y' U (R' U' R U') (R' U' R) 
U' (R U R' U) (R U R') 
 
 
U' (R U2' R' U) y' (R' U' R)  
U' (R U2' R') d (R' U' R) 
R' U2' R2 U R2' U R 
y' U (R' U2 R) U' y (R U R') 
(R U' R' U) (R U' R') U2 (R U' R') 
 
 
y' U (R' U R U') (R' U' R) U' (R U' R' U) (R U R') 
 
 
F2L Case 2 
 
(U' R U R') U2 (R U' R') 
y' (U R' U' R) U2' (R' U R) 
d (R' U' R) U2' (R' U R) 
Note – (y' U) and (d) are interchangeable 
 
 
U' (R U2' R') U2 (R U' R') 
y' U (R' U2 R) U2' (R' U R) 
d (R' U2 R) U2' (R' U R) 
 
 
F2L Case 3  
 
U (R U2 R') U (R U' R') y' U' (R' U2 R) U' (R' U R) 
 
 
U2 (R U R' U) (R U' R') 
(R U' R') U2 (R U R') 
y' U2 (R' U' R) U' (R' U R) 
F' L' U2 L F 
Note – The second algorithm is fewer moves, 
but less intuitive and less finger-friendly. 
 
 
Suggested algorithm here  
Alternative algorithms here 
 Set up F2L pair // Solve F2L pair 
It is not recommended to learn any of these 
algorithms before learning intuitive F2L. 
 
The black part of each algorithm sets up the pieces to 
a basic insertion case, which is then written in blue. 
 
  
 
 
 
Incorrectly Connected Pieces  
 
y' (R' U R) U2' y (R U R') 
(R U R') U2 (R U' R' U) (R U' R')  
(R U' R' U2) y' (R' U' R) 
U F (R U R' U') F' (U R U' R')                  
 
 
(R U2 R') U' (R U R') y' (R' U2 R) U (R' U' R) 
 
 
U (R U' R' U') (R U' R' U) (R U' R') 
(R U R' U2') (R U R' U') (R U R')  
y' U' (R' U R U) (R' U R U') (R' U R) 
F (U R U' R') F' (R U' R') 
 
 
 
Corner in Place, Edge in U Face  
 
U' F' (R U R' U') R' F R 
R' F' R U (R U' R') F 
U (R U' R') U' (F' U F) 
U (R U' R') (F R' F' R) 
 
 
(R U' R' U) (R U' R') y' (R' U R U') (R' U R) 
 
 
y' (R' U' R U) (R' U' R) 
(R' F R F') U (R U' R') 
(R U R' U') (R U R') 
 
 
Edge in Place, Corner in U face  
 
(R U' R' U) y' (R' U R) 
U' (R' F R F') (R U' R') 
(U R U' R') (U R U' R') (U R U' R') 
 
 
(U' R U' R') U2 (R U' R') U (R U R') U2 (R U R') 
 
 
(U' R U R') U y' (R' U' R) U (F' U' F) U' (R U R') 
 
 
Edge and Corner in Place  
 
Solved Pair (R U' R') d (R' U2 R) U2' (R' U R)  
 
 
(R U' R' U') R U R' U2 (R U' R') 
(R U R' U') R U2 R' U' (R U R') 
(R U' R' U) (R U2' R') U (R U' R') 
(R U R') U2' (R U' R' U) (R U R') 
 
 
(F' U F) U2 (R U R' U) (R U' R') 
(R U' R') F (R U R' U') F' (R U' R') 
(R U R' U') (R U' R') U2 y' (R' U' R) 
 
 
 
 
 
 
 
 
Notation 
 
       
R R' R2 r r' x y 
       
       
U U' U2 u u' z M 
      
        
F F' L L' B B' D D' 
 
 
 
 
 
 
 
 
OLL Algorithms (Orientation of Last Layer) 
 
 
 
 
 
 
Algorithm Presentation Format 
 
 
 
 
 
 
All Edges Oriented Correctly  
 
 
R U2 R' U' R U' R' 
y' R' U' R U' R' U2 R 
 
OCLL6 - 26 - Probability = 1/54 
R U R' U R U2' R' 
y' R' U2' R U R' U R 
 
OCLL7 - 27 - Probability = 1/54 
 
 
(R U2 R') (U' R U R') (U' R U' R')  
y (R U R' U) (R U' R' U) (R U2' R')  
 
OCLL1 - 21 - Probability = 1/108 
R U2' R2' U' R2 U' R2' U2' R  
 
OCLL2 - 22 - Probability = 1/54 
 
 
(r U R' U') (r' F R F')  
y (R U R D) (R' U' R D') R2' 
 
OCLL4 - 24 - Probability = 1/54 
y F' (r U R' U') r' F R  
x (R' U R) D' (R' U' R) D x' 
 
OCLL5 - 25 - Probability = 1/54 
 
 
R2 D (R' U2 R) D' (R' U2 R') 
y2 R2' D' (R U2 R') D (R U2 R) 
 
OCLL3 - 23 - Probability = 1/54 
  
 
 
T-Shapes 
 
 
(R U R' U') (R' F R F')  
 
T1 - 33 - Probability = 1/54 
F (R U R' U') F'  
 
T2 - 45 - Probability = 1/54 
 
 
 
 
 
 
Suggested algorithm here  
Alternative algorithms here 
 
OLL Case Name - Probability = 1/x 
 
 
Round brackets are used to segment algorithms to 
assist memorisation and group move triggers. 
 
It is recommended to learn the algorithms in the 
order presented. 
 
 
 
 
 
Squares 
 
 
(r' U2' R U R' U r)  
 
S1 - 5 - Probability = 1/54 
(r U2 R' U' R U' r')  
 
 S2 - 6 - Probability = 1/54 
 
 
 
C-Shapes 
 
 
(R U R2' U') (R' F R U) R U' F'  
 
C1 - 34 - Probability = 1/54 
R' U' (R' F R F') U R  
 
C2 - 46 - Probability = 1/54 
 
 
 
W-Shapes 
 
 
(R' U' R U') (R' U R U) l U' R' U x 
y2 (R U R' F') (R U R' U') (R' F R U') (R' F R F') 
 
W1 - 36 - Probability = 1/54 
(R U R' U) (R U' R' U') (R' F R F')  
 
W2 - 38 - Probability = 1/54 
 
 
 
Corners Correct, Edges Flipped 
 
 
(r U R' U') M (U R U' R')  
 
E1 - 28 - Probability = 1/54 
(R U R' U') M' (U R U' r')  
 
E2 - 57 - Probability = 1/108 
 
 
 
P-Shapes 
 
 
(R' U' F) (U R U' R') F' R  
 
P1 - 31 - Probability = 1/54 
R U B' (U' R' U) (R B R') 
S (R U R' U') (R' F R f')   
 
P2 - 32 - Probability = 1/54 
 
 
y R' U' F' U F R  
f' (L' U' L U) f  
 
P3 - 43 - Probability = 1/54 
f (R U R' U') f'  
y2 F (U R U' R') F' 
 
P4 - 44 - Probability = 1/54 
 
 
 
 
 
 
 
 
 
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