# Difference between revisions of "OLC"

Orient Last Corners (OLC), also known as Orient Last 4 Corners (OL4C), is a subset of OLL used in ZZ-reduction following Phasing that orients corners while preserving edge permutation (2 opposite edges or all 4). This results in a limited PLL set of 9 cases, down from 21 in full PLL. This is also known as OCLL-EPP.

## OLC Algorithms

Of the 7 orientation cases in ZZ, 4 do not commonly preserve edge permutation (Sune, Antisune, Pi, Double-Sune). The other 3 commonly preserve edges (Headlights, Chameleon, Triple-Sune).

Odds of skipping this step are 1/27.

### OLC 1

Probability 4/27

 Name: S, Sune, Swimming Left Used in: ZZ-reduction Optimal moves: {{{optimal}}}
 OLL R U' L' U R' U' L
 OLL y2 R' U L U' R U L'
 OLL U R U' L' U R' U' L

### OLC 2

Probability 4/27

 Name: -S, Antisune, Swimming Right Used in: ZZ-reduction Optimal moves: ? HTM
 OLL L' U R U' L U R'

### OLC 3

Probability 2/27

 Name: H, Double Sune, Flip, Cross Used in: ZZ-reduction Optimal moves: ? HTM, ? STM
 OLL y F (R U R' U')3 F'

### OLC 4

Probability 4/27

 Name: pi, Bruno, wheel, T-shirt Used in: ZZ-reduction Optimal moves: ? HTM

### OLL 23

Probability 4/27

 Name: U, Headlights, Superman Used in: OCLL, OLL Optimal moves: 9 HTM

### OLL 24

Probability 4/27

 Name: T, chameleon, shark, Hammerhead, Little Horse, stingray Used in: OCLL, OLL Optimal moves: 8 HTM
 OLL r U R' U' r' F R F'

### OLL 25

Probability 4/27

 Name: L, Bowtie, Triple-Sune, Side-winder, Diagonals, Spaceship Used in: OCLL, OLL Optimal moves: 8 HTM
 OLL R' F' L' F R F' L F
 OLL F R B R' F' l U' l'