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Orientation Cases

This page will show you all of the orientation cases for my third layer method. I have included a notation to denote the finger tricks that I use for each of these moves. Each set of moves inside a pair of parenthesis is a finger trick routine that can be done at an accelerated pace using your fingers. Since there are 40 orientation cases and I only have a few megabytes of space I won't have enough webspace to make videos for all of the cases. I also probably wouldn't have the time right now. So to make up for that here is a page that will at least show a way that these moves can be done with finger tricks. Any further information that may be required for each move I have noted next to the move. All of the pictures of the cube positions are from Jessica Fridrich's page, though I have edited some of them. Keep in mind that these finger tricks are specifically tailored by me for my hands, so they may not fit your hands very well. Use this page more as a learning tool to figure out your own finger trick routines than to directly copy it.

I have included all reflections and rotations of cases that I actively use. If you see a picture of a case below, then I solve the case as described when I see it in my speed solving. I have done my best to write the finger trick notation as explicitly as I can, to show exactly how I solve each case.

The Tricks
For each case I have included the algorithm written both in standard notation as well as in finger trick notation. I personally find it very difficult to learn a finger trick to a new algorithm without having the standard notation to the case as well, thus I have included the standard notation for all cases here.

Notation
Below is an explanation of all the notation I will be using on this page.

Standard Notation: Note, do each of these turns as if you are looking directly at the face you are turning.

Clockwise Turns Counter-clockwise Turns Double Turns
R=Right face clockwise
L=Left face clockwise
F=Front face clockwise
B=Back face clockwise
U=Up (top) face clockwise
D=Down (bottom) face clockwise
R'=Right face counter-clockwise
L'=Left face counter-clockwise
F'=Front face counter-clockwise
B'=Back face counter-clockwise
U'=Up (top) face counter-clockwise
D'=Down (bottom) face counter-clockwise
R2=Right face twice
L2=Left face twice
F2=Front face twice
B2=Back face twice
U2=Up (top) face twice
D2=Down (bottom) face twice

Notation Additions
In addition to the standard notation I have also included the following: M, E, S, x, y, z, r, l, f, b, u, d in my finger trick notation for the cases below. Here is a key to explain these additions to the usual notation,

x=rotate the entire cube as if you were doing the move R
y=rotate the entire cube as if you were doing the move U
z=rotate the entire cube as if you were doing the move F

M=R L' x'
E=D' U y'
S=F' B z

When doing any of the M, E, or S moves don't do them as two outer layer moves. You need to actually execute them by moving the center row that is affected, NOT the individual face moves listed above. Hold the faces on either side of the center to be turned and turn the center with your fingers. See our main page for a visual explanation of these moves.
r=R M'
l=L M
f=F S
b=B S'
u=U E'
d=D E

The easiest way to remember a lower case move is that it means to turn the face written, as well as the middle layer behind it. These are called double layer moves.

The Cases
For all of these moves the orientation picture is what you should have on the U face unless otherwise noted. Indexed by each numbered case is an a) and b) algorithm. The a) algorithm is the algorithm written in standard notation and the b) algorithm includes my own personal finger tricks and cube rotations for the a) algorithm.

There are 40 distinct orientation cases, however for most cases I have included various rotations and reflections. If your goal right now is only to learn the Fridrich 2 look last layer method, it will suffice to learn only one lettered case for each number case, as well as any necessary reflections. For example case #38 has 4 subcases and each subcase has a reflection. If your goal is only to learn the Fridrich 2 look last layer you only need to learn one subcase and it's reflection to learn how to always solve case #38. If all the subcases have a reflection, then you must learn the reflection of the subcase you choose to learn in order to always be able to solve that case in the Fridrich method. Learning just one algorithm, and any required reflections, for each numbered case below I believe you should be able to get to a sub-20 average with enough practice. If you wish to improve beyond just sub-20, I recommend learning all the cases below. As I said above, I actively use all the algorithms listed below and I currently average between 17 and 19 seconds very consistently.

CaseMoveNotes/Comments
1)
a) R U2 R2 F R F' U2 R' F R F'
b) R U2 R2 y'x' (R U R') xy U2 R' y (L F L')		 Not one of my fastest.
2)
a) F' L' U' L U F B' U' R' U R B
b) (F') (L' U' L U) (F) (f ') (L' U' L U) (f)		 See comments for case 25B and case 27.
3)
a) R' U2 R' F R F' U' F' U' F U' R
b) R' U2 R' y (L F L') (U') (L' U' L U') y L		 Do the (U') with your finger instead of as a wrist turn.
3-reflected)
a) L U2 L F' L' F U F U F' U L'
b) L U2 L y' (R' F' R) (U) (R U R' U) y L'		 Do the (U) with your finger instead of as a wrist turn.
4)
a) R' F R F' U' L R' D' F D R L'
b) x (R' U) (R U') x' (U' L) R' y' (D' R) u L' R		 Goes fast sometimes, but not consistently fast.
5)
a) F R U R' U F' U2 F' L F L'
b) (F) (R U R' U) y' (R' U2) R' y (L F L')		 One of my favorite OLLs
6)
a) L U2 F' L' U' L U F2 U2 F' L'
b) (L U2) (F') (L' U' L U) y' (R2 U2) (R' F')		 Do the last U in (L' U' L U) with your right hand.
7)
a) M F' U' F U F U F U' F' M'
b) M y' (R' U' R U) (R U) (R U' R') S'		 This alg is consistently fast for me. I like it when this case comes up. Practice this case fequently as the probability of seeing it during a solve is only 1/216
8)
a) L U2 L2 U' L U' L' U2 B L B'
b) (L U2) (L2 U') (L U') (L' U2) y' (L F L')		 Do the (L2 U') turning the L face clockwise.
9)
a) L' B' L U' R' U R U' R' U R L' B L
b) x' (L' U' r U') (R' U) (R U') (R' U R) x' (L' U L) x		 The (L' U' r U') trigger is ridiculously fast, but it takes some getting used to. Do both U' turns with your left hand, the first one with your index finger and the second with your middle finger. Click here for a description of how to use your index and middle finger like this.
10A)
a) L U F U' F' U F U' F' L'
b) (L d) (R U') (R' U) (R U' R') y L'

10B)
a) R' U' F' U F U' F' U F R
b) (R' d') (L' U) (L U') (L' U L) y' R		 This alg goes particularly fast. I highly recommend learning both 10A and 10B.
11A)
a) R' U' F' U F' L F L' F R
b) R' d' L' d F' x (L U L' U l)		 I actually do the trigger like that, but the simplest way to write it is (L F L') (F R).
11B)
a) L U F U' F R' F' R F' L'
b) L d R d' F x (R' U' R U' r')		 I actually do the trigger like that, but the simplest way to write it is (R' F' R) (F' L').
12)
a) R B L' B L B' L' B L B2 R'
b) x' R U (L' U) (L U') (L' U L) U2 R' x		 none
12-reflected)
a) L' B' R B' R' B R B' R' B2 L
b) x' L' U' (R U') (R' U) (R U' R') U2 L x		 none
13)
a) R F' U2 F U2 F R2 F' R
b) (R F') (U2 y) L (U2 y') F R2 F' R		 Ok so this move is weird. I don't hardly use finger tricks but I can consistently perform this trick in under 3 seconds. For the (U2 y) and (U2 y') you have to blend the U turn and cube rotation together by turning d and U at the same time. You have to hold the cube at a slight tilt towards you most of the time.
13-reflected)
a) L' F U2 F' U2 F' L2 F L'
b) (L' F) (U2 y') R' (U2 y) F' L2 F L'		 Ok so this move is weird. I don't hardly use finger tricks but I can consistently perform this trick in under 3 seconds. For the (U2 y') and (U2 y) you have to blend the U turn and cube rotation together by turning d and U at the same time. You have to hold the cube at a slight tilt towards you most of the time.
14)
a) R B U B' U' B U B' U' R'
b) x' (R d) (R U') (R' U) (R U' R') y x R'		 Very fast alg. The 2nd, 3rd and 4th triggers blend together well.
14-reflected)
a) L' B' U' B U B' U' B U L
b) x' (L' d') (L' U) (L U') (L' U L) y' x L		 Very fast alg. The 2nd, 3rd and 4th triggers blend together well.
15A)
a) R B L' B L B2 R'
b) x' R (U L' U) (L U2) x R'		 For (U L' U), do the first U' with your left thumb and the second U' with your right index finger.
15A-reflected)
a) L' B' R B' R' B2 L
b) x' L' (U' R U') (R' U2) x L		 For (U' R U'), do the first U with your right thumb and the second U with your left index finger.
15B)
a) L F2 R' F' R F' L'
b) r (U R' U) (R U2) r'		 Do the first U in (U R' U) with your right index finger and the second with your ring finger.
15B-reflected)
a) R' F2 L F L' F R
b) l' (U' L U') (L' U2) l		 Do the first U' in (U' L U') with your left index finger and the second with your ring finger.
16)
a) R L2 B' L B' L' B2 L B' L R'
b) x' R (L2 U' L U') (L' U2) (L U' r) R'		 Turn the L2 in (L2 U' L U') counter-clockwise and trigger the last U' with your ring finger.
16-reflected)
a) L' R2 B R' B R B2 R' B R' L
b) x' L' (R2 U R' U) (R U2) (R' U l') L		 Turn the R2 in (R2 U R' U) clockwise and trigger the last U with your ring finger.
17A)
a) L' U' L B L' B' U B L B'
b) (L' U' L) y' (L F') (L' U) x (L U L') x'		 Hold your right thumb over the F face very loosely during the (L F') so that the F face will turn smoothly as you flick F' with your left index finger.
17A-reflected)
a) R U R' B' R B U' B' R' B
b) (R U R') y (R' F) (R U') x (R' U' R) x'		 Hold your left thumb over the F face very loosely during the (R' F) so that the F face will turn smoothly as you flick F with your right index finger.
17B)
a) L U L' F' L F U' F' L' F
b) (L U L') y' (R' F) (R U') (R' F' R)		 For the (R' F) (R U') (R' F' R) grip the F face loosely so that it will turn smoothly.
17B-reflected)
a) R' U' R F R' F' U F R F'
b) (R' U' R) y (L F') (L' U) (L F L')		 For the (L F') (L' U) (L F L') grip the F face loosely so that it will turn smoothly.
18A)
a) L' B2 R B R' B L
b) x' L' (U)2 (R U R') U L x		 Make sure to the the (U)2 turning U clockwise.
18A-reflected)
a) R B2 L' B' L B' R'
b) x' R (U')2 (L' U' L) U' R' x		 Make sure to do the (U')2 by turning counterclockwise.
18B)
a) L F2 R' F' R F' L'
b) L F2 (R' F' R F' L')		 Do the trigger like (R' F' R) (F' L') using your right hand for the first part and your left hand for the second part (do the F' with your left index finger).
18B-reflected)
a) R' F2 L F L' F R
b) R' F2 (L F L' F R)		 Do the trigger like (L F L') (F R) using your left hand for the first part and your right hand for the second part (do the F with your right index finger).
19A)
a) R B' R' U' R B R' B' U B
b) x' (R U' R') F' (R U R') x y (R' U R)		 none
19A-reflected)
a) L' B L U L' B' L B U' B'
b) x' (L' U L) F (L' U' L) x y' (L U' L')		 none
19B)
a) R' F R U R' F' R F U' F'
b) [(R' F) (R U R')] (F' R) y (L U' L')		 That first trigger/combo is a little weird, but it goes fast. I grip the cube on the BL 2x2x3 block until the y cube rotation. I have no idea why I grip differently than the reflection, it just feels natural to me I guess.
19B-reflected)
a) L F' L' U' L F L' F' U F
b) [(L F') (L' U' L)] (F L') y' (R' U R)		 That first trigger/combo is a little weird, but it goes fast. I grip the cube on the DR 2x2x3 block until the y cube rotation. I have no idea why I grip differently than the reflection, it just feels natural to me I guess.
20A)
a) L F L' R U R' U' L F' L'
b) L F L' (R U R') (U') (L F' L')		 If you do the (U') with your left index finger, the transitions between the triggers are so slight they can all be done in one motion.
20A-reflected)
a) R' F' R L' U' L U R' F R
b) R' F' R (L' U' L) (U) (R' F R)		 If you do the (U) with your right index finger, the transitions between the triggers are so slight they can all be done in one motion.
20B)
a) R B R' L U L' U' R B' R'
b) x' (R U R') x (L U L') (U') x' (R U' R') x		 Do the (U') with your left index finger and it will blend well with the (L U L') before it.
20B-reflected)
a) L' B' L R' U' R U L' B L
b) x' (L' U' L) x (R' U' R) (U) x' (L' U L) x		 Do the (U) with your right index finger and it will blend well with the (R' U' R) before it.
21A)
a) R L2 D' B' D B L B' L R'
b) l L2 y (R' U' R U) y' (L U' r) R'		 Do the last U in (R' U' R U) by literally hitting the B face sticker of UBR with your right index finger. (L U' r) is the exact same thing as doing (L U' L) x, only you do the cube rotation at the same time as the last L move.
21A-reflected)
a) L' R2 D B D' B' R' B R' L
b) r' R2 y' (L U L' U') y (R' U l') L		 Do the last U' in (L U L' U') by literally hitting the B face sticker of UBL with your left index finger. (R' U l') is the exact same thing as doing (R' U R') x, only you do the cube rotation at the same time as the last R' move.
21B)
a) L R2 D' F' D F R F' R L'
b) L R2 z' x (R' U' R U) y' (L U' r) R'		 See comment for 21A.
21B-reflected)
a) R' L2 D F D' F' L' F L' R
b) R' L2 z x (L' U L U') y (R' U l') L		 See comment for 21A-reflected.
22A)
a) B U L U' F L' B' L F' L'
b) x' U x U L U' F x' (L' U' L) D' x L'		 I can consistently do this case in under 3 seconds, but it's not one of my favorite cases since I use hardly any finger tricks.
22A-reflected)
a) B' U' R' U F' R B R' F R
b) x' U' x U' R' U F' x' (R U R') D x R		 I can consistently do this case in under 3 seconds, but it's not one of my favorite cases since I use hardly any finger tricks.
22B)
a) L F' L' F L' U2 L U F U F'
b) x (L U') (L' U) x' (L' U2) L d (R U R')		 I don't use this move as often as 22A, but it is handy to have in your toolbelt so to speak.
22B-reflected)
a) R' F R F' R U2 R' U' F' U' F
b) x (R' U) (R U') x' (R U2) R' d' (L' U' L)		 I don't use this move as often as 22A-reflected, but it is handy to have in your toolbelt so to speak.
23A)
a) L U F' U' L' U L F L'
b) L d R' d' (L' U) (L F L')		 For (L F L') grip the F face loosely so that it will turn smoothly during the trigger.
23A-reflected)
a) R' U' F U R U' R' F' R
b) R' d' L d (R U') (R' F' R)		 For (R' F' R) grip the F face loosely so that it will turn smoothly during the trigger.
23B)
a) R U B' U' R' U R B R'
b) (R U) B' (U') (R' U) (l U l')		 Do the (U') with your left index finger.
23B-reflected)
a) L' U' B U L U' L' B' L
b) (L' U') B (U) (L U') (r' U' r)		 I do the (U) with my left thumb, rather than like the reflection.
24)
a) B L' B' L U L U' L'
b) x' U (L' U' L) x (U) (L U' L')		 The reflection is also fast, but for some reason I hardly ever use it.
25A)
a) F' U' L' U L F
b) (F') (U') (L' U L) (F)		 Do (F') and (U') both with your left index finger. Do the U in (L' U L) with your right index finger. Also, do the (F) with your left thumb.
25A-reflected)
a) F U R U' R' F'
b) (F) (U) (R U' R') (F')		 Do (F) and (U) both with your right index finger. Do the U' in (R U' R') with your left index finger. Also, do the (F') with your right thumb.
25B)
a) B' U' R' U R B
b) (f ') (L' U' L U) (f)		 I can consistently do this move in under 2 seconds. Trigger (f ') with your left index finger only, and do (f) with your left thumb.
25B-reflected)
a) B U L U' L' B'
b) (f) (R U R' U') (f ')		 I can consistently do this move in under 2 seconds. Trigger (f) with your right index finger only, and do (f ') with your right thumb.
26A)
a) R' U2 R2 B' R' B R' U2 R
b) (R' U2 R) x' (R U') (R' U) x (R' U2 R)		 Use your left ring finger to for the R in both (R' U2 R) triggers. Thanks to Frank Morris for the alg.
26A-reflected)
a) L U2 L2 B L B' L U2 L'
b) (L U2 L') x' (L' U) (L U') x (L U2 L')		 Use your right ring finger to for the L' in both (L U2 L') triggers. Thanks to Frank Morris for the alg.
26B)
a) R U2 R2 F R F' R U2 R'
b) (R U2) (R2 F) (R F') (R U2) R'		 Don't change grip for the triggers involing the F face, just loosen your thumb's grip slightly when turning the
F face.
26B-reflected)
a) L' U2 L2 F' L' F L' U2 L
b) (L' U2) (L2 F') (L' F) (L' U2) L		 Don't change grip for the triggers involing the F face, just loosen your thumb's grip slightly when turning the
F face.
27A)
a) F' L' U' L U F
b) F' (L' U' L U) F		 Do the first F' with your left index finger, the U in (L' U' L U) with your right index finger, and the final F with your left thumb.
27B)
a) F R U R' U' F'
b) F (R U R' U') F'		 Do the first F with your right index finger, the U' in (R U R' U') with your left index finger, and the final F with your right thumb.
28A)
a) L' U' L U L F' L' F
b) (L' U' L U) (L F') L' F		 none
28B)
a) R U R' U' R' F R F'
b) (R U R' U') (R' F) R F'		 none
29A)
a) R B' R' U' R U B U' R'
b) x' (R U' R') F' R y (L U L') y' l'		 Despite the F' and the two grip changes this alg is actually very fast.
29A-reflected)
a) L' B L U L' U' B' U L
b) x' (L' U L) F L' y' (R' U' R) y r		 Despite the F and the two grip changes this alg is actually very fast.
29B)
a) L F' L' U' L U F U' L'
b) (L F' L' U' L U) F U' L'		 For the (L F' L' U' L U) keep your right hand grip constant but loosen the pressure on F with your thumb for the F' turn. Also do the final U with your right index finger.
29B-reflected)
a) R' F R U R' U' F' U R
b) (R' F R U R' U') (F' U) R		 For the (R' F R U R' U') keep your left hand grip constant but loosen the pressure on F with your thumb for the F turn. Also do the final U' with your left index finger. I don't trigger the (F U') in the reflection.
30A)
a) L U L' U' F' L' B L F B'
b) (L U L') (U') y' l' U' (L U L') l		 Trigger the (U') with your left index finger.
30B)
a) R U R' U' B' R' F R B F'
b) (R U R' U') y l' U' (L U L') l		 Trigger the U' in (R U R' U') with your left index finger.
31A)
a) R B U' L U L' B' R'
b) l d R' y (r U r') (U') l'		 Use your thumb in (r U r') similar to how you would do (L U L').
31B)
a) L' B' U R' U' R B L
b) r' d' L y' (l' U' l) (U) r		 Use your thumb in (l' U l) similar to how you would do (R' U' R).
32A)
a) B L U L2 U' B' U B L B'
b) (B) (L U L2) y' U' (L' U) x (L U L') x'		 Do the (B) with your right index finger.
32A-reflected)
a) B' R' U' R2 U B U' B' R' B
b) (B') (R' U' R2) y U (R U') x (R' U' R) x'		 Do the (B') with your left index finger.
32B)
a) F R U R2 U' F' U F R F'
b) (F) (R U (R')2 U') y (L' U) x (L U L')		 Do (F) with your right index finger. Do the U' in (R U (R')2 U') with your left index finger.
32B-reflected)
a) F' L' U' L2 U F U' F' L' F
b) (F') (L' U' (L)2 U) y' (R U') x (R' U' R)		 Do (F') with your right index finger. Do the U in (L' U' (L)2 U) with your right index finger. Do the (L)2 clockwise.
33A)
a) L' U' L U' L' U L U' L' U2 L
b) (L' U' L U') (L' U) (L U') (L' U) (U) L		 Do the last U' in (L' U' L U') with your ring finger. Do the (U) with your right index finger.
33B)
a) L' U2 L U L' U' L U L' U L
b) (L' U) (U) (L U L') (U' L) (U) (L' U L)		 Do each (U) with your right index finger. Do the U' in (U' L) with your left index finger.
34A)
a) R' U L U' R U' L' U' L U' L'
b) R' U L U' R U' (L' U' L U') L'		 Though there aren't many actual finger tricks in this alg, it can often be performed in less than 2 seconds. Do the first part of the alg like this, R(r) U(l) L(l) U'(l) R(r) U'(l) where the move in parenthesis after each turn means to turn that face with either the r=right or l=left hand.
34B)
a) L U' R' U L' U R U R' U R
b) L U' R' U L' U (R U R' U) R		 Though there aren't many actual finger tricks in this alg, it can often be performed in less than 2 seconds. Do the first part of the alg like this, L'(l) U'(r) R'(r) U(r) L'(l) U(r) where the move in parenthesis after each turn means to turn that face with either the r=right or l=left hand.
35)
a) R2 D' L F2 L' D R U2 R
b) (R2 D') (L F2 L') (D) (R U2 R)		 For the (R2 D') grip the cube so that R and D can both turn easily. Your right hand index finger should be on the F sticker of FUR, middle finger on the U sticker of UR, ring finger on U sticker of BUR, thumb covering the D stickers of both DB and DBR. Turn R2 clockwise, then trigger D with your index finger. For the final R in (R U2 R) use your left hand ring finger.
36A)
a) R' F' L F R F' L' F
b) l' U' (L U) l y' (l' U' l)		 Do the first U' with your left hand. Also try to the the l y' in the same hand motion, i.e. turn the l layer while at the same time rotating the cube. Do the (l' U' l) exactly as if you were doing (R' U' R) but turn the l double layer instead of the R face.
36B)
a) L F R' F' L' F R F'
b) r U (R' U') r' y (r U r')		 Do the first U with your right hand. Also try to the the r' y in the same hand motion, i.e. turn the r layer while at the same time rotating the cube. Do the (r U r') exactly as if you were doing (L U L') but turn the r double layer instead of the L face.
37A)
a) L' B L F' L' B' L F
b) x' (L' U L) D' (L' U' L) D x		 Do both D face turns with your right hand.
37B)
a) R B' R' F R B R' F'
b) x' (R U' R') D (R U R') D' x		 Do both D face turns with your left hand.
38A)
a) L U2 L' U' L U' L'
b) L U2 (L' U' L U' L')		 Do the trigger like this (L' U' L) (U') (L') where your ring finger pulls the (U'). For the (L') literally hit the U face sticker of the BLU corner with your index finger to turn the face.
38A-reflected)
a) R' U2 R U R' U R
b) R' U2 (R U R' U R)		 Do the trigger like this (R U R') (U) (R) where your ring finger pulls the (U). For the (R) literally hit the U face sticker of the BRU corner with your index finger to turn the face.
38B)
a) R' U' R U' R' U2 R
b) (R' U' R U') (R' U2 R)		 Do the first trigger like (R' U' R) (U) triggering the (U) with your left index finger. Do the (R' U2 R) as (R' U2) (R) triggering the (R) with your left ring finger.
38B-reflected)
a) L U L' U L U2 L'
b) (L U L' U) (L U2 L')		 Do the first trigger like (L U L') (U') triggering the (U') with your right index finger. Do the (L U2 L') as (L U2) (L') triggering the (L') with your right ring finger.
38C)
a) R U2 R' U' R U' R'
b) (R U2) (R' U' R U' R')		 Do the last trigger like (R' U' R) (U') R' triggering the (U') with your left index finger followed immediately by turning R' with your right hand. This alg is one of my fastest OLL algs overall.
38C-reflected)
a) L' U2 L U L' U L
b) (L' U2) (L U L' U L)		 Do the last trigger like (L U L') (U) L triggering the (U) with your left index finger followed immediately by turning L with your left hand. This alg is one of my fastest OLL algs overall.
38D)
a) L' U' L U' L' U2 L
b) (L' U' L U' L' U2 L)		 No that is not a joke, I really do this entire alg as one finger trick. This is one of my fastest OLL algs. Do the trigger like (L' U' L) (U') (L' U2) (L). Trigger the (U') with your left ring finger, and as you finish grab the FL edge column of the cube (thumb on the D sticker of DFL, middle finger on the U sticker of FUL) and go immediately into the (L' U2). After the U2 in that trigger hit the U sticker of the FUL corner with your left hand thumb while also using your left index finger to turn the last L.
38D-reflected)
a) R U R' U R U2 R'
b) (R U R' U R U2 R')		 No that is not a joke, I really do this entire alg as one finger trick. This is one of my fastest OLL algs. Do the trigger like (R U R') (U) (R U2) (R'). Trigger the (U) with your right ring finger, and as you finish grab the FR edge column of the cube (thumb on the D sticker of DFR, middle finger on the U sticker of FUR) and go immediately into the (R U2). After the U2 in that trigger hit the U sticker of the FUR corner with your right hand thumb while also using your right index finger to turn the last R'.
39A)
a) L F' L F2 R' F R F2 L2
b) (r U' L) U2 (R' U R) U2 (L' r')		 Do the (r U' L) exactly as you would do (L U' L), only turn the r double layer for the first L. For the final (L' r') turn both the L and r layers at once to solve the cube and end up with your last layer color on top.
39B)
a) R' F R' F2 L F' L' F2 R2
b) (l' U R') U2 (L U' L') U2 (R l)		 Do the (l' U R') exactly as you would do (R' U R'), only turn the l double layer for the first R'. For the final (R l) turn both the R and l layers at once to solve the cube and end up with your last layer color on top.
40)
a) R U R' U' R' L F R F' L'
b) (R U R' U') M' (U R) U' r'		 This alg is one of my fastest OLL algs. Do the U' in (R U R' U') with your left index finger, and the M' with your left ring finger. Do the U in (U R) with your right index finger, and the following U' with your left index finger.

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