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The 3x3x3 Example Solve Thread

Joined
Oct 12, 2020
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The average movecount is higher but the average MCC (Trangium's movecount coefficient) is about the same. By my calculation, average movecount: 9.167, average MCC: 12.767. Mehta has OO L5EP-DR. If you decide to do this, let me know, and I have alg sheets I generated.

EDIT: My approach was slightly different, starting Mehta FB > 3QB though.
I don't think I'm ready for it yet but are the ones you have different from this?

Next: U L2 F2 U2 B2 D2 F2 L2 F L2 F' L2 U B L D2 U2 R' D L2
Petrus:
y // Inspection
L2 E2 R' F2 U L' D // Inefficient 222 for easy extension [7/7]
R U' R2 F2// 223 [4/11]
R U2 // Pair [2/13]
R U F U' F R U F' U' F // Inefficient EO for easy F2L [10/23]
U2 R U R U R // EZ F2L [6/29]
L U2 L2 U' L2 U' L2 U2 L // ZBLL [9/38]
38 STM

I think this is my first Petrus example solve.

APB:
y // Inspection
L2 E2 R' F2 U L' D // Inefficient 222 for easy extension [7/7]
R U' R2 F2// 223 [4/11]
R U2 // Pair [2/13]
R2 S R F R2 f' R // EOpair [7/20]
U2 R U' R' U R U R' // L3P [8/28]
M2 U M2 U2 M2 U M2 U2 // EPLL [8/36]
36 STM

APB works too...

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

AlgoCuber

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Next: D' B2 U F2 L2 D' R2 D2 B2 U' B2 U R' B' R2 U2 L U' F L' F' D
Lazy average ZZ solve, 57 STM

z2 y' // Inspection
R' B F U' F R L2 D' R L D //EOCross
U2 L' U' L2 U2 L' //1st pair
R' U2 R U' R' U' R //2nd pair
U R U2 R' U2 L' U' L //3rd pair
U2 R U R' //4th pair
R' U' R U' R' U2 R2 U R' U R U2 R' // COLL
M2 U' M' U2 M U' M2 // EPLL
U // AUF

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

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Aug 30, 2020
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On your scramble, x2 y' has solved CP. Just thought that was fun.

u' L F' L' F2 E' U2 M' // dbl (8)
U2 R F S' U f F // dFl extension (7/15)
U2 R U' R U' R U2 R2 // dbR (8/23)
F R' F' R // EO (4/27)
U R' U2 B' R B U2 F R F' // CLS (10/37)
U D R' U' R (U D') R2 U R' U R U' R U' R2 // Gb-PLL (15/52)
U2 // AUF (1/53)

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

tsmosher

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Messages
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y' z' // Mehta-CF

f2 R F M2 // DL + center (4)
E2 R' u' R2 u2 r' U r u R2 // belt (10/14)
U R U' R U' R' U2 R' // DCAL (8/22)
U R F R' U' R F' R' U R' F' R // CMLL (12/34)

// from here, 3 options that I see:
// EOdM > L5EP
// L7EOP-DR > L6EP
// EOLR/EOBF > M2 + RLSE-UO

U' M' U' M' U M2 // EOdM
U2 F2 U' r2 F2 R2 U' F2 r2 // L5EP
// L7E (15/49)

U' // AUF (1/50)

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

V Achyuthan

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Nov 29, 2020
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NEXT: R2 D2 L2 D2 F D2 R2 B2 L2 B' D2 F' U' B2 L' D L2 B2 R U F
E2CR2 - 55 STM
y' // inspection
D B D' L2 U F // EO
R' d2 D R' D' // LB/FB
R2 U2 R' r2 U' r2 // 223
U R D' R U' R' D // CP
U' R2 U R U R2 U2 R U R U' R' U2 R U' R' // RB
U R U2 R' U' R U' R2 U2 R U R' U R U2 // 2GLL

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

carcass

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R B2 F2 R' F2 R' F2 R2 U2 B2 L R' U' B' R' D F R' U2 F2 U
Petrus APB, 48 STM
D' L2 d' R' F r'//dlb
F E R' E' F R' U F'//dFl
U R U' F R F'//EOpair
U R U R' U' R U R'//DougLi block + EO complete
U R2 D R' U2 R D' R' U2 R' //CDRLL
U' R' U' R U R U R U' R'//L5EP

NEXT SCRAMBLE: B D2 F' D2 B2 L2 D2 F' D2 B' R D' B2 L' F R' D F' R2 F2 U
 
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abunickabhi

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z2 y
//edges KXFR JPQS ACNG
//corners NVTQ AH

U2 M u R' D S D' R E U
U' R D2 R' E R D2 R2 E' R U //UF-LF-FR-LD-RD
[M2 U' : [M, U2]] [S' : [L' E L, U]]

[U : [D, R U' R']]
[R U' D' : [R' U R, D2]]
[U' R' : [U', R' D' R]]

recon

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

tsmosher

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z2 y
//edges KXFR JPQS ACNG
//corners NVTQ AH

U2 M u R' D S D' R E U
U' R D2 R' E R D2 R2 E' R U //UF-LF-FR-LD-RD
[M2 U' : [M, U2]] [S' : [L' E L, U]]

[U : [D, R U' R']]
[R U' D' : [R' U R, D2]]
[U' R' : [U', R' D' R]]

recon

Next: R2 F2 R2 U2 L2 R2 D B2 D2 F2 D' B' R F D2 B F2 U B R' B2
x2
u' M U M2 // dbR (4)
R' u2 F // DFr > Mehta FB (3/7)
R U' R // HB (3/10)
u2 R' F' U' F // HB (5/15)
u2 R F R2' F' R // EO (6/21)
R U R' U2 R U R' // NMDCAL (7/28)
U R' F' r U R U' r' F // NMCDRLL (9/37)
U R2 U2 R2 // fix pseudo (4/41)
U' S R2' S' R2 U' S R2' S' R2 // L5EP (10/51)
U2 // AUF (1/52)

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

GRVigo

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NEXT:
L' R2 D2 F2 R2 F2 U R2 D2 R2 U' F2 U2 B D2 L' D2 F' U B2 R'
CFOP 36 STM, 35 with cancellations

Inspection: x

XCross (8): L2 U' L2 F' R D2 F' R2
F2L 1 (7): y F' U' F U R' U' R
F2L 2 (3): R U2 R'
F2L 3 (4): y2 U R U R'
1LLL (14): y' R' F' U' F U R U R' U2 R U R' U R


Roux 34 STM

Inspection: y' x2

First block (7): U2 F2 L' F' U L2 F' x2
Second block (10): R2 U' F R F' M' B' R2 B M
CMLL (8): L' U2 L U2 r U' r' F
L6E (9): M' U M U' M' U' M' U M2


Petrus 34 STM, 33 with cancellations

Inspection: x y2

Block (8): L R F' U R U D2 F y2
Expanded block (8): R' U' R' F' R F' U F'
EO (6): U S R S' U' R2
F2L (3): R' U R
ZBLL (9): y' F R' F' r U R U' r' U


ZZ 42 STM, 34 with cancellations

Inspection: x'
EOLine (8): B2 R2 U F' D2 F' R F
F2L 1 (7): x2 y2 R2 U2 R2 U R U R'
F2L 2 (6): y2 R' U2 R L' U L
F2L 3 (8): U2 R' U R U R' U2 R
ZBLL (13): R' U2 R U R' U R2 U R' U R U2 R'


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

BenChristman1

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Next: L D2 L' D2 R U2 F2 L F2 L U2 L2 F L2 D L2 B D2 L F R'
CFOP, 51 STM
x2 // Inspection
B2 F' R' D F' R' L' U' L F2 R U R' U R U' R' D' // XXX-Cross
y' U R' U' R U' R' U' R // F2L 4
M R U R' U R U2 R' U M' // OLL
U' R U R' F' R U R' U' R' F R2 U' R' U' // PLL
ACN

Roux, 46 STM
y2 // Inspection
U' D F' D2 U' F' L U2 L' F // FB
U R' U R' U2 R U R' U R' U' R // SB
U' R' F2 D R2 U R2' D' F2 R // CMLL
M U2 M' U2 M' U' M' U' M2 U M U2 M' U // L6E
ACN

Nautilus, 53 STM
y2 // Inspection
U' D F' D2 U' F' L U2 L' F // FB
U R U' r U' M U' M U2 M2 U2 M // 2x2x2 & DF
U2 R U' R' U2 R U' R' // LS
U2 S' R U R' U' R' F R F' U S // OLL
x R2 F R F' R U2 r' U r U2 B' // PLL
ACN

// JN XW IQ GV G: Corners
// NE AG UC SO GL RP F: Edges
// Parity

E L (R U R' U' R' F R2 U' R' U' R U R' F') L' E' // N
L' E L' (R U R' U' R' F R2 U' R' U' R U R' F') L E' L // E
M2 D' L2 (R U R' U' R' F R2 U' R' U' R U R' F') L2 D M2 // A
L' E' L (R U R' U' R' F R2 U' R' U' R U R' F') L' E L // G
D' L2 (R U R' U' R' F R2 U' R' U' R U R' F') L2 D // U
M2 D L2 (R U R' U' R' F R2 U' R' U' R U R' F') L2 D' M2 // C
M' D' L2 (R U R' U' R' F R2 U' R' U' R U R' F') L2 D M // S
D M' D' L2 (R U R' U' R' F R2 U' R' U' R U R' F') L2 D M D' // O
L' E' L (R U R' U' R' F R2 U' R' U' R U R' F') L' E L // G
L' (R U R' U' R' F R2 U' R' U' R U R' F') L // L
L (R U R' U' R' F R2 U' R' U' R U R' F') L' // R
E' L' (R U R' U' R' F R2 U' R' U' R U R' F') L E // P
E' L (R U R' U' R' F R2 U' R' U' R U R' F') L' E // F

R U R' F' R U2 R' U2 R' F R U R U2 R' U' // Parity

R' (R U' R' U' R U R' F' R U R' U' R' F R) R // J
R' F (R U' R' U' R U R' F' R U R' U' R' F R) F' R // N
D2 (R U' R' U' R U R' F' R U R' U' R' F R) D2 // X
D' (R U' R' U' R U R' F' R U R' U' R' F R) D // W
F R' (R U' R' U' R U R' F' R U R' U' R' F R) R F' // I
R D' (R U' R' U' R U R' F' R U R' U' R' F R) D R' // Q
F' (R U' R' U' R U R' F' R U R' U' R' F R) F // G
(R U' R' U' R U R' F' R U R' U' R' F R) // V
F' (R U' R' U' R U R' F' R U R' U' R' F R) F // G

ACN

Next: R' B' R D' R' F' B' U F' U2 R2 L2 B' D2 B2 D2 B' D2 F L
 
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Next: R' B' R D' R' F' B' U F' U2 R2 L2 B' D2 B2 D2 B' D2 F L
YruRU: 49 STM
y x //inspection
//2-1 tracing
L U' L F' D2 //CPLine
u' r' U' u2 R u R2 u2 R' U r //pEO extension
U' r' U2 r U2 r U' r U2 R2 U r2 //EOdM
U' R U R //RB
U' R' U2 R U R' U R U' R' U' R U' R' U2 R U2 //2GLL


CP-Mehta: 52 STM
y x //inspection
//2-1 tracing
L U' L F' D2 //CPLine
R' U' r U' r U2 r' //FB+1
U u2 R' u R' u //3QB
R U R2 U S' U S2' R' S' //EOLE
U R U R U2 R' U' R U R' U R' //TDR
U2 R U2 R' U' R U R' U' R U' R' //2GLL
E //AES


Solving CPLine in DR and then doing a D2 to position it in DL actually opens up more options. I think I should implement this into my OH solves.

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

abunickabhi

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z2 y
//edges BGRO TAXL VAMI MC
//corners BMTC VARF

U2 R U M U' M' U2 M U M' U R' U2 //UF-UB-RU-BD-RF
F' E2 F2 L' F2 E2 F M F L F' M' //UF-DL-UL-FD-BL
U' R E2 R' u S L' S' E L E2 //UF-DR-UL-BR-FL
[E : [R E' R', U']]

[U' D' : [R D' R', U2]]
[B2, R' F' R]
[D' : [U', R' D R]]
[R' U' : [U2, R' D' R]]

R U R' F' R U R' U' R' F R2 U' R' U' //parity

recon

Next: R' U F2 L F2 U2 R' D2 R' F2 D2 R F2 L2 B' R' U2 B' F' R' U
 
Last edited:

AlgoCuber

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Next: R' U F2 L F2 U2 R' D2 R' F2 D2 R F2 L2 B' R' U2 B' F' R' U
ZZ, 49 STM

x z // Inspection
R' F2 R' U2 F D R2 L' // EOcross
U' L' U' L2 U2 L' // 1st Pair
D' U2 L' U2 L // 2nd Pair
U' D R' U2 R U R' U' R // 3rd Pair
D R U' R' D' // 4th Pair
U2 R2 U' R U R U' R' U' R U' R' U R' U R2 // ZBLL

Next:
D L2 B L2 B' D2 F' U2 B L2 F2 U2 D F' L F2 L D2 R2 B'
 
Last edited:
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