The 3x3x3 Example Solve Thread

CFOP, 54 STM

x' D2 F' L D' B

U' R' U2 R F R' F' R
U' F U F' U' L' U L
d' R' U R U2 R' U R
U2 R U' R' U2 F' U' F

y2 F U R U' R' F'
M2 U M2 U M' U2 M2 U2 M' U'

Next: R2 L2 U' L' B' D' F U D R2 D' F2 U R2 L2 F2 D2 F2 D'

x2 y'
L2 M u' b U2 b' U2 L' U' L2 F' L' F // FB + pair (13)
R2 U2 R U R' U R2 // SBLS (7/20)
U' R U R' U R U' R D R' U' R D' R2 // COLL (14/34)
M' // O2E (1/35)
S' U' M2 U' M U' M U' S // L7EOP (9/44)
M U2 M U' M2 U2 // EOLRb > L6EP (6/50)

NEXT: B2 R2 U L2 U2 B R2 D' R U2 L2 F2 R B2 L' B2 D2 R U2
 
NEXT: B2 R2 U L2 U2 B R2 D' R U2 L2 F2 R B2 L' B2 D2 R U2

R2 F2 U2 S2 R D2 R U' R2 F // Domino Reduction (10/10)
U2 R2 // 122 Block on Top (2/12)
[D2 U] R2 // 123 Block on Top (3/15)
B2 D B2 U' // APDR From Weird Angle and PLL Skip (4/19)

// Solution: R2 F2 U2 S2 R D2 R U' R2 F U2 R2 D2 U R2 B2 D B2 U'
19 STM but you do 2 moves at the same time so really 18 moves done at different times

Next: D' L2 F2 L2 D' L2 B2 D' B L U2 B2 F' D R U' F' U
 
Next: D' L2 F2 L2 D' L2 B2 D' B L U2 B2 F' D R U' F' U
CFOP 32 STM

z' // Inspection

F U R' B' R U L' B2 // XXCross
U' F' U F // F2L 3
U' B' U B U B' U2 B // F2L 4
(y2) R' F' U F R' D' r U' r' D R2 // 1LLL... no, sorry, I wanted to say OLL + PLL Skip :)
U // AUF

Next: B' R' F L' U B' L B D B2 D2 B R' D' U' B' D2 F B' D'
 
CFOP 32 STM

z' // Inspection

F U R' B' R U L' B2 // XXCross
U' F' U F // F2L 3
U' B' U B U B' U2 B // F2L 4
(y2) R' F' U F R' D' r U' r' D R2 // 1LLL... no, sorry, I wanted to say OLL + PLL Skip :)
U // AUF

Next: B' R' F L' U B' L B D B2 D2 B R' D' U' B' D2 F B' D'
y2 x'
U2 B u' M E R' u2 // FB (7)
R2 U' r U r' U R' U R // mixed SB (9/16)
U2 F U R2 D R' U' R D' R2' F' // CMLL (11/27)
U' M' U' M U M' U2 M' U2 M2 // EOdM (10/37)
U' S' U2 S // L5EP (4/41)

next: F' B R D' F' L F D2 R F2 U' L2 U' F2 B2 U2 B2 L2 U B2 D'
 
F' B R D' F' L F D2 R F2 U' L2 U' F2 B2 U2 B2 L2 U B2 D'
Mehta TDR with Petrus style blockbuilding, 39 STM
z2//inspection
L2 R2 U F' M' B2 M' z2//drb
F L f' L f//db
y' R F' U F//EO and Belt
U' R2 U' R S' U2 S R U2 R2//TDR
y2 S' R' U' R S U' R' U F' U F R U'//ZBLL
NEXT SCRAMBLE: F2 L2 D2 B2 F2 L2 D2 F2 D L2 U2 R' B F2 D' B' U2 R' U' L' U'
 
Mehta TDR with Petrus style blockbuilding, 39 STM
z2//inspection
L2 R2 U F' M' B2 M' z2//drb
F L f' L f//db
y' R F' U F//EO and Belt
U' R2 U' R S' U2 S R U2 R2//TDR
y2 S' R' U' R S U' R' U F' U F R U'//ZBLL
NEXT SCRAMBLE: F2 L2 D2 B2 F2 L2 D2 F2 D L2 U2 R' B F2 D' B' U2 R' U' L' U'

x2 y'
U' S' r u M U2 M // 223 (7)
U' R f' U2 f2 R' f' // EO dFR bad (7/14)
U R U R' U' R' // B pair (6/20)
U2 R' U R U2 R' L' U R U' L // COLL (11/31)
U R U2 R2 U2 R2 U2 R U // L5EP (9/40)

next: F' L2 D' R2 B2 U L' U F R U2 L D2 L' B2 R B2 U2 R B2 U2
 
x2 y'
U' S' r u M U2 M // 223 (7)
U' R f' U2 f2 R' f' // EO dFR bad (7/14)
U R U R' U' R' // B pair (6/20)
U2 R' U R U2 R' L' U R U' L // COLL (11/31)
U R U2 R2 U2 R2 U2 R U // L5EP (9/40)

next: F' L2 D' R2 B2 U L' U F R U2 L D2 L' B2 R B2 U2 R B2 U2
y z' // Setup
U' L' D U' r' F // FB
R' U r U r U R2 U R U' R' U R U r' // SB
R U2' R' U' R U R2' F R F' R U2' R' //CMLL
M' U M U2 M' U M U2 M U2 M U' M2 // LSE
alg.cubing.net

Next: R2 F2 U' B2 U F2 U2 R2 U' L2 U B2 F L' B D' B' U' L R U
 
y z' // Setup
U' L' D U' r' F // FB
R' U r U r U R2 U R U' R' U R U r' // SB
R U2' R' U' R U R2' F R F' R U2' R' //CMLL
M' U M U2 M' U M U2 M U2 M U' M2 // LSE
alg.cubing.net

Next: R2 F2 U' B2 U F2 U2 R2 U' L2 U B2 F L' B D' B' U' L R U
x' y
R' U' F2 r2 u R u2 M' R' U M2 // Mehta FB (11)
u2 R U R E2 U R u' R2 // 3QB + dFR paired (9/20)
S U' R' U S' // EOPair (5/25)
R' U R U' R' U' R // LS (7/32)
R U2 R D R' U2 R D' R2' // COLL (9/41)
U2 S2 U' S' U2 S U' S U2 S // L5EP (10/51)
U' // AUF (1/52)

next: R2 B2 R2 F U2 R2 B' L2 F2 U2 L2 F2 R' B' F2 U L' U B2 L2 U
 
R2 B2 R2 F U2 R2 B' L2 F2 U2 L2 F2 R' B' F2 U L' U B2 L2 U
CFOP, 59 STM
x//Inspection
L2 F U' F B2 R U2 R//Cross
y' R' U R U' R' U' R//First Pair
U' L' U L R U' R'//Second Pair
y' L F' L' F L' U L//Third Pair
R U' R' F R' F' R//Fourth Pair
U' F R U R' U' F'//OLL
U2 R U R' U' R' F R2 U' R' U' R U R' F' U'//PLL

NEXT SCRAMBLE: F2 D U L2 R2 U' L2 D F2 L2 F2 L' B' F' D L F D R U F
 
F2 D U L2 R2 U' L2 D F2 L2 F2 L' B' F' D L F D R U F
CFOP, 45 STM
y x'//inspection
F L D R' U L2 D2//cross
L2 F' L' F L'//first pair
U' R U R' F U F'//second pair
U' f R f'//third pair
F U R U' R' F' R U' R'//fourth pair and OLL skip
R U R' y' R2 u' R U' R' U R' u R2 U//PLL

same solve but with cancellations, 38 STM
y x'//inspection
F L D R' U L2 D2//cross
L2 F' L' F L'//first pair
U' R U R' F U F'//second pair
U' f R f'//third pair
F U R U' R'//fourth pair and OLL skip cancelling into G perm
y' R u' R U' R' U R' u R2 U//PLL

NEXT SCRAMBLE: D' L2 B2 U2 R2 F2 U2 R2 D R2 U' L U L' D B R' F U' R U
 
CFOP, 45 STM
y x'//inspection
F L D R' U L2 D2//cross
L2 F' L' F L'//first pair
U' R U R' F U F'//second pair
U' f R f'//third pair
F U R U' R' F' R U' R'//fourth pair and OLL skip
R U R' y' R2 u' R U' R' U R' u R2 U//PLL

same solve but with cancellations, 38 STM
y x'//inspection
F L D R' U L2 D2//cross
L2 F' L' F L'//first pair
U' R U R' F U F'//second pair
U' f R f'//third pair
F U R U' R'//fourth pair and OLL skip cancelling into G perm
y' R u' R U' R' U R' u R2 U//PLL

NEXT SCRAMBLE: D' L2 B2 U2 R2 F2 U2 R2 D R2 U' L U L' D B R' F U' R U

y
r' F U L2 D L2 M' U' R' M2 U' r U' r2 // worst FB ever (14)
U' R' u R2 E' R' // pseudo-3QB (6/20)
D' R U' R' D U' S' U S // EO dFR (9/29)
U2 R' U R U R' U2 R // LS (8/37)
u2 R' F' r U R U' r' F // COLL (9/46)
L2 U' S U2 S' U' L2 // EPLL (7/53)

NEXT: F2 L2 B2 U L2 R2 U' B2 D' R2 D L' B U' L' B D2 R D' B' D
 
Scramble: F2 L2 B2 U L2 R2 U' B2 D' R2 D L' B U' L' B D2 R D' B' D

x z2
L F' L2 B U2 F2 U L U' L' U L // EOcross + FL pair
U' L U2 L' U' L U L' // BL pair
U' R' U2 R U' R' U R // BR pair
U R U R' U2 R U' R' // FR pair
U' R U' R' U R U R' U2 R' D' R U R' D R2 U R' U' // ZBLL

Next: L2 U R2 U R2 B2 D U F2 R2 F2 U2 F' R U L' R2 B' R F2 L2 D
 
Scramble: F2 L2 B2 U L2 R2 U' B2 D' R2 D L' B U' L' B D2 R D' B' D

x z2
L F' L2 B U2 F2 U L U' L' U L // EOcross + FL pair
U' L U2 L' U' L U L' // BL pair
U' R' U2 R U' R' U R // BR pair
U R U R' U2 R U' R' // FR pair
U' R U' R' U R U R' U2 R' D' R U R' D R2 U R' U' // ZBLL

Next: L2 U R2 U R2 B2 D U F2 R2 F2 U2 F' R U L' R2 B' R F2 L2 D
z2 y
//edges GARF DNOV KTIC
//corners JUBN XNPO

D' R2 U2 S' U S U R2 D //UF-RU-UL-BD-BU
U D2 R' S2 R2 S' R' D R S' R' U' D //UF-DF-RB-RF-DR
D2 L' S' U' R2 U' S U R2 U L D2 //UF-LB-DL-FL-UR

[F' : [U2, R D R']]
[R' D R, U2]
[U D R D' : [R' D R, U']]
[D': [R D R', U']] [U', R D' R']

R U R' F' R U R' U' R' F R2 U' R' U'

recon

Next: F2 D' B2 D2 L2 D L2 U' R2 D F2 B' R' U L2 R' U' B2 F D
 
Last edited:
scramble: F2 D' B2 D2 L2 D L2 U' R2 D F2 B' R' U L2 R' U' B2 F D

D F' D F' L2 R' U R2 L U L' R2 U F2 R' F2 R F R F' // XXCROSS
U D2 L' U L D2 y U R U R' U' R U R' // F2L
U' L' U' L U L F' L2 U' L U F // OLL
U' // SKIP

NEXT: U2 L2 F' D2 L2 F L2 D2 U2 B' U2 L' U' R' U2 B F D L' U R'

y x'
R B2 M' u' r u2 // Roux FB (6)
r U' F' U F M2 U M2 // 223 (8/14)
U R U' R U' F' U F R // EO pair (9/23)
U R U2 R2 U2 R U2 R // F2L (8/31)
U' R U2 R2 U' R2 U' R2 U2 R // COLL (10/41)
R2 U' S' U2 S U' R2 // EPLL (7/48)
U' // AUF (1/49)

next: R' U2 L2 U B2 L F' D' B' F2 R' U2 F2 D2 B2 U2 R' F2 R2
 
Scramble: F2 L2 B2 U L2 R2 U' B2 D' R2 D L' B U' L' B D2 R D' B' D

y' D' L2 D' L' U' L' U' L
u R U2 R' u2 R U R' E F' U F R U' R'
U2 R' U R U2 R' U R U' R U R' U2 R U R'
R' U' F' R U R' U' R' F R2 U2 R' U2 R
U2 S' U2 S M2 U' M' U2 M U' M2 D2

a Bad Mehta Beginner solve. I'm learning

NEXT: F' D2 L' F R2 U F2 B' D F2 D2 L2 U2 D2 F2 R2 B R2 B D2

I am no Mehta expert, but here is some advice that hopefully you will find helpful @Filipe Teixeira.

Firstly, your solve is perfectly fine!

Belt building is tricky. Try not to use triggers unless absolutely necessary and- even then- only to insert 2 belt edges at once. (Obviously, you will need to use a trigger to insert the last belt edge; this is why EOLE exists.) Many times, the best belt solution is not intuitive and requires you to insert belt edges in the wrong places or requires you to insert the belt edges in the "right" order (whatever that may be). Small optimizations can make all the difference between an 8 move belt and a 16 move belt.

Here is a 10-move belt in your solve. This is just the first solution i found.

u' R U' R' E2 R' E' R U R'

Other than that, your CLL case was one of the few that benefits from a much better CDRLL:

(U) F R2 U' R2 U R2 U F'

The CDRLL cases you should learn (or look up) are: S6, AS6, U6, Pi3, H2. I think there's one other one, but I can't find it now.

Good luck with Mehta!
 
y x'
R B2 M' u' r u2 // Roux FB (6)
r U' F' U F M2 U M2 // 223 (8/14)
U R U' R U' F' U F R // EO pair (9/23)
U R U2 R2 U2 R U2 R // F2L (8/31)
U' R U2 R2 U' R2 U' R2 U2 R // COLL (10/41)
R2 U' S' U2 S U' R2 // EPLL (7/48)
U' // AUF (1/49)

next: R' U2 L2 U B2 L F' D' B' F2 R' U2 F2 D2 B2 U2 R' F2 R2

z2 y
//edges XFOC KSUE NTIC
//corners CMHE XPUC

M U L F' M' F M L' U' M' //UF-FD-BU-RF-UR
F' L' S L2 S' F M2 F' L' F M2 //UF-LB-RD-DB-LU
U R' U2 F U S U' S' F' U2 R U' //UF-RB-DL-FL-UR

[D : [R' D' R, U]]
[R U R' U' D : [R D R', U2]]
[U' D' R' : [U, R' D R]]
[U R D' R' : [R' D R, U']]

recon

Next: D R2 D F2 U2 F2 D R2 F2 U' R2 F' L' F2 D' F2 U' L2 B R'
 
Last edited:
Next: D R2 D F2 U2 F2 D R2 F2 U' R2 F' L' F2 D' F2 U' L2 B R'
CFOP 33 STM:

z // Inspection
D' R B' U2 R' U' R2 F' // XXCross
B' U2 B L U2 L' // F2L 3
U' F' U' F // F2L 4
(y') r' F' U' F U r F R' F' R U2 R U2 R' // 1LLL
U2 // AUF

Roux 36 STM:

z' x // Inspection
D' B R' D2 B' R F2 // FB
R' M' U' M2 B' R2 B M' // SB 1
B U2 B' U' B U B' // SB 2
(U) R' U' R U' R' U2 R // CMLL
U' M U2 M U M2 // L6E

Petrus 39 STM:

D2 B2 U L B' D' F' L2 // Block
U' F' U2 F U' b U' b' // EO
U2 B U B' U2 B U B' U2 R' U2 R // F2L
(U) x R' U R' D2 R U' R' D2 R2 x' (U') // ZBLL

ZZ 44 STM:

z2 // Inspection
L D B' R2 D' R' D2 F' // XEOLine
U' R' U2 R U' R2 U' R2 // Pair
U' R U R' U2 R U R' // Pair
L2 U' L2 U' L2 U2 L2 // Pair
(U2) F R' U' R2 U' R2 U2 R2 U' R' F' (U) // ZBLL


Next: D F' D R2 B' R U2 D2 R' F2 L' B2 D L2 R2 U F' D F2 U
 
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