CLL 3×3×3 Algorithms

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CLL

Corners of the Last Layer

42 cases

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This stage solves the corners of the top layer after the first two layers are completed.

1. Two Corners Permutation Only 2 cases

PLL-cases 2 cases

PLL1 Permutation of Two Adjacent Corners

CLL PLL1

F U2 F' U' F U2 B' U F' U' B
F' U2 F U F' U2 B U' F U B'
Order
2
Symmetries
4→ M Reverse Reverse+ M
PLL2 Permutation of Two Diagonal Corners

CLL PLL2

R U' R' U' F2 D' B L B' D F2
L U' L' U' B2 D' F R F' D B2
Order
2
Symmetries
8→ RF LF y2 Reverse Reverse+ any of the listed symmetries

2. Orientation and Permutation of Two Corners 18 cases

U-cases 6 cases

U1 No Permutation

CLL U1

R2 B U' B' U B U B2 R' B R' U'
L2 B' U B U' B' U' B2 L B' L U
Order
3
Symmetries
2→ M
Derivatives
T1→ Reverse Reverse+ M
U2 Permutation of Adjacent Corners

CLL U2

R B2 D B' U B D' B2 U' R' U'
L' B2 D' B U' B' D B2 U L U
Order
2
Symmetries
4→ M Reverse Reverse+ M
U3 Permutation of Adjacent Corners

CLL U3

R2 D R' U2 R D' R' U2 R' U'
L' U2 L U2 B U' L' U L U B'
Order
6
Derivatives
U5→ M
L3→ Reverse+ S
L4→ Reverse+ y
U4 Permutation of Adjacent Corners

CLL U4

F U R U2 R' U R U2 R' U' F' U2
F' U' L' U2 L U' L' U2 L U F U2
Order
6
Symmetries
2→ M
Derivatives
T4→ Reverse
U5 Permutation of Adjacent Corners

CLL U5

L2 D' L U2 L' D L U2 L U
R U2 R' U2 B' U R U' R' U' B
Order
6
Derivatives
U3→ M
L3→ Reverse+ y2
L4→ Reverse+ LF
U6 Diagonal Permutation

CLL U6

R' U' F' U F R U'
R B U B' U' R' U'
Order
6
Symmetries
2→ Reverse+ RF

T-cases 6 cases

T1 Orientation only

CLL T1

B' R B' R2 U R U R' U' R B2 U'
B L' B L2 U' L' U' L U L' B2 U
Order
3
Symmetries
2→ M
Derivatives
U1→ Reverse Reverse+ M
T2 Permutation of Adjacent Corners

CLL T2

R U' R' U2 R L U' R' U L' U2
R U' L U R' L' U2 L U L' U2
Order
2
Symmetries
4→ M Reverse Reverse+ M
T3 Permutation of Adjacent Corners

CLL T3

B' U' B U B L' B' L U'
R B U' B' U B U B' R' U2
Order
6
Derivatives
T5→ M
L2→ Reverse+ y
L5→ Reverse+ M
T4 Permutation of Adjacent Corners

CLL T4

B' U' R' U2 R U R' U2 R U B U2
B U L U2 L' U' L U2 L' U' B' U2
Order
6
Symmetries
2→ M
Derivatives
U4→ Reverse
T5 Permutation of Adjacent Corners

CLL T5

B U B' U' B' R B R' U
L' B' U B U' B' U' B L U2
Order
6
Derivatives
T3→ M
L2→ Reverse+ RF
L5→ Reverse
T6 Diagonal Permutation

CLL T6

B L' B' U' B2 U B' L B U' B2 U2
L2 U' L B L' U L2 U' L' B' L U2
Order
6
Symmetries
2→ Reverse+ LF

L-cases 6 cases

L1 Orientation only

CLL L1

L U L' U L U' L' U L U' L' U L U2 L' U2
L U2 L' U' L U L' U' L U L' U' L U' L' U2
Order
3
Symmetries
4→ RF Reverse+ LF Reverse+ y2
L2 Permutation of Adjacent Corners

CLL L2

R' F R F' U' F' U F U
F R U' R' U' R U R' F' U2
Order
6
Derivatives
L5→ RF
T3→ Reverse+ y
T5→ Reverse+ RF
L3 Permutation of Adjacent Corners

CLL L3

F' U2 F' D' F U2 F' D F2 U'
F' U L U L' U' F U2 L U2 L'
Order
6
Derivatives
L4→ RF
U3→ Reverse+ S
U5→ Reverse+ y2
L4 Permutation of Adjacent Corners

CLL L4

R U2 R D R' U2 R D' R2 U
R U' B' U' B U R' U2 B' U2 B
Order
6
Derivatives
L3→ RF
U3→ Reverse+ y'
U5→ Reverse+ LF
L5 Permutation of Adjacent Corners

CLL L5

F R' F' R U R U' R' U'
R' F' U F U F' U' F R U2
Order
6
Derivatives
L2→ RF
T3→ Reverse+ M
T5→ Reverse
L6 Diagonal Permutation

CLL L6

R U2 R2 F R F' R U2 R' U'
R' U2 R B' R B R2 U2 R U'
Order
6
Symmetries
4→ RF Reverse+ LF Reverse+ y2

3. Orientation of Three Corners and Permutation 12 cases

S-cases 6 cases

S1 Orientation only

CLL S1

F U F' U F U2 F' U2
L' U2 L U L' U L U2
Order
3
Symmetries
2→ Reverse+ RF
Derivatives
AS1→ RF Reverse
S2 Permutation of Adjacent Corners

CLL S2

L F' L' F U2 F U2 F' U
F' L' U L U' L' U2 L U F U2
Order
6
Derivatives
S5→ Reverse+ RF
AS2→ Reverse
AS5→ RF
S3 Permutation of Adjacent Corners

CLL S3

B2 D' B U' B' D B U' B U B' U B U'
L U L' U L U' L D L' U' L D' L2 U'
Order
6
Symmetries
2→ Reverse+ S
Derivatives
AS4→ RF Reverse+ y
S4 Permutation of Adjacent Corners

CLL S4

F U' B' U F' U' B U2
Order
6
Symmetries
2→ Reverse+ RF
Derivatives
AS3→ RF Reverse+ y'
S5 Permutation of Adjacent Corners

CLL S5

B' U2 B U2 B L' B' L U
L U F U2 F' U' F U F' L' U2
Order
6
Derivatives
S2→ Reverse+ RF
AS2→ RF
AS5→ Reverse
S6 Diagonal Permutation

CLL S6

R U R' U R U' R B' R' B U' R' U'
R' U' F R' F' R U' R U R' U R U'
Order
6
Symmetries
2→ Reverse+ RF
Derivatives
AS6→ RF Reverse+ y2

AS-cases 6 cases

AS1 Orientation only

CLL AS1

R' U' R U' R' U2 R U2
B U2 B' U' B U' B' U2
Order
3
Symmetries
2→ Reverse+ RF
Derivatives
S1→ RF Reverse
AS2 Permutation of Adjacent Corners

CLL AS2

L U2 L' U2 L' B L B' U'
B' U' R' U2 R U R' U' R B U2
Order
6
Derivatives
S2→ Reverse
S5→ RF
AS5→ Reverse+ RF
AS3 Permutation of Adjacent Corners

CLL AS3

R' U L U' R U L' U2
Order
6
Symmetries
2→ Reverse+ RF
Derivatives
S4→ RF Reverse+ y
AS4 Permutation of Adjacent Corners

CLL AS4

B' U' B U' B' U B' D' B U B' D B2 U
L2 D L' U L D' L' U L' U' L U' L' U
Order
6
Symmetries
2→ Reverse+ S
Derivatives
S3→ RF Reverse+ y'
AS5 Permutation of Adjacent Corners

CLL AS5

B' R B R' U2 R' U2 R U'
R B U' B' U B U2 B' U' R' U2
Order
6
Derivatives
S2→ RF
S5→ Reverse
AS2→ Reverse+ RF
AS6 Diagonal Permutation

CLL AS6

F U R' F R F' U F' U' F U' F' U
F' U' F U' F' U F' L F L' U F U
Order
6
Symmetries
2→ Reverse+ LF
Derivatives
S6→ RF Reverse+ y2

4. Orientation of Four Corners and Permutation 10 cases

P-cases 6 cases

P1 Orientation only

CLL P1

R' U' F' U F U' F' U F R
L U F U' F' U F U' F' L'
Order
3
Symmetries
4→ M Reverse+ S Reverse+ y2
P2 Permutation of Adjacent Corners

CLL P2

B U' F' U B' U F U F' U F
B' U F U' B U' F' U' F U' F'
Order
6
Symmetries
2→ M
Derivatives
H2→ Reverse Reverse+ M
P3 Permutation of Adjacent Corners

CLL P3

B' U2 B U2 B L' B2 U' B U L U'
B U L U' L2 B' L U2 L U2 L' U'
Order
6
Symmetries
2→ Reverse+ S
Derivatives
P5→ M Reverse+ y2
P4 Permutation of Adjacent Corners

CLL P4

R' F R F' U2 R' F R F2 U2 F U
L F' L' F U2 L F' L' F2 U2 F' U'
Order
6
Symmetries
2→ M
Derivatives
H3→ Reverse+ RF Reverse+ y'
P5 Permutation of Adjacent Corners

CLL P5

B' U' R' U R2 B R' U2 R' U2 R U
B U2 B' U2 B' R B2 U B' U' R' U
Order
6
Symmetries
2→ Reverse+ S
Derivatives
P3→ M
P6 Diagonal Permutation

CLL P6

R U2 R' U' R B' R B R' U' R' U'
R' U' R' F R F' R U' R' U2 R U'
Order
6
Symmetries
2→ Reverse+ LF

H-cases 4 cases

H1 Orientation only

CLL H1

R U2 R' U' R U R' U' R U' R'
R' U2 R U R' U' R U R' U R
Order
6
Symmetries
8→ M S y2 Reverse+ any: RF LF y y'
H2 Permutation of Adjacent Corners

CLL H2

F U F' U F U B' U F' U' B
F' U' F U' F' U' B U' F U B'
Order
6
Symmetries
2→ M
Derivatives
P2→ Reverse
H3 Permutation of Adjacent Corners

CLL H3

F' U2 F2 R' F' R U2 F R' F' R U'
B U2 B2 R B R' U2 B' R B R' U
Order
6
Symmetries
2→ S
Derivatives
P4→ Reverse+ RF Reverse+ y
H4 Diagonal Permutation

CLL H4

F R U R' U' R U R' U' R U R' U' F' U
F' U' L' U L U' L' U L U' L' U L F U
Order
6
Symmetries
4→ y2 Reverse+ RF Reverse+ LF