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The Mehta example solve game

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So, this is like the 3x3 example solve thread but only for the Mehta method.
If you don't know, the Mehta method is an algorithm-reliant method that solves the cube in the following order:
First block on the D layer.
3 edges of the E layer or 3QB for short.
Orient edges (Algorithmically) while solving the last edge or EOLE for short.
Orient last 6 corners (using 1 alg) or 6CO for short .
Permute last 6 corners (using 1 alg) or 6CP for short.
Algorithmic L5EP

(or there is a beginner variant which does the last 4 steps in 2 looks each and a ZB variant that algorithmically solves the DR block after EOLE thus, giving you a ZBLL finish)
There are 3 more variants with which you can do option select.

That's it for the introduction let's move on to the solves:

Scramble: U2 F2 R' U2 L2 F U' D2 R U2 L2 D' R2 L2 U' L2 U2 L2 F2

Solution:
73HTM 89QTM 65STM 68ETM

U2 L E2 L' E' z //FB
R E R2 u' R U R' u' R U R' E R U R' F R' F' R //Long belt
U' S' U' S U2 S' U' S //EO
R' U R U2 R2 U' R U2 R //6CO-1
U R2 D' R U2 R' D R U2 R //6CO-2
U' R2 U R2 //D layer corners+lucky DR block
U' x R2 D2 R U R' D2 R U' R x' // PLL Ab Perm

Beginners version(kinda) but got lucky.

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

This thread might be of interest to @Jam88 , @BenChristman1 @Devagio and @CuberStache and a few more people but please do try it.
 

CuberStache

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Devagio

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So, this is like the 3x3 example solve thread but only for the Mehta method.
This is a great idea! This way the example solves page will not overflow with Mehta examples and we could digress into discussing particular solutions freely.

NEXT: R2 F D F B R U B2 U D2 R F2 U2 L2 D2 R L2 D2 F2 L2
Interesting observation: There is not a single anticlockwise quarter turn in this scramble. In a 20 move random-move scramble, the probability of this happening is 0.03%, roughly the same as a ZBLL skip.

x' y2 // Inspection
D2 R F2 L2 // FB (4/4)
R2 u R' u R // 3QB (5/9)
u F U R' U' F' // EOLE (6/15)
U R' U R' U' R U R' U' R U R // DCAL (12/27)
U2 R' U R U F' U R' U R U2 F // CDRLL (12/39)
u' S' U2 S U' // L5EP (5/44)

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

ProStar

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Ok I'll try this out. Be warned though, I'm renowned for how bad I am at block building

Next: B' U' R' B' R' U B' L D' U2 B' L2 F U2 F' D2 B R2 D2 R2 D2
/* Scramble */
B' U' R' B' R' U B' L D' U2 B' L2 F U2 F' D2 B R2 D2 R2 D2

/* Solve */
B' D' R2 U2 L B' U2 B // FB (8)

u R' u U R2 U2 R u2 // 3QB (8, 16)

R2 U R' U' R' // EOLE (5, 21)

U R U' R' D' U' R U2 R' D // 6CO (10, 31)

U2 D' R2 U R2 U D R2 U2 D' R2 // 6CP (11, 42)

M2 U M2 U2 M2 U M2 // L5EP (7, 49)

U2 D // ADUF (2, 51)

// View at alg.cubing.net



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

DNF_Cuber

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Last edited:

ProStar

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This is actually quite intriguing

NEXT: U F L2 D2 B2 F' D2 F U2 R2 B2 D F2 U' L F2 U' R' F
/* Scramble */
U F L2 D2 B2 F' D2 F U2 R2 B2 D F2 U' L F2 U' R' F

/* Solve */
z2 // Inspection

D' L F L' R' u2 R // FB (7)

y u' R E' R2 U2 R E2 // 3QB (7, 14)

u' F R F' // EOLE (4, 18)

U R U R' U R U2 R' // 6CO (8, 26)

U R2 U R2 U R2 // 6CP* (6, 32)

U2 E2 R E2 R2 E2 R D // Solved** (8, 40)

// View at alg.cubing.net


* Unsolve Belt by R2
** By fixing the Belt and solving the 2 remaining L5EP edges


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

Ninja'd

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

ProStar

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NEXT: F2 D' R2 F2 U' R2 D L2 D2 B' L D R' U2 R B U' L2 F
/* Scramble */
F2 D' R2 F2 U' R2 D L2 D2 B' L D R' U2 R B U' L2 F

/* Solve */
y2 // Inspection

R' F D L B' U2 B // FB (8)

U' R u' R E R // 3QB (5, 13)

F' S' U S U F // EOLE (6, 19)

R U D' R U R' U2 D R' // 6CO (9, 28)

R2 U' R2 U' R2 U2 R2 // 6CP (7, 35)

y M' U2 M' U M' U2 M U M2 // L5EP (9, 44)

U D // ADUF (2, 46)

// View at alg.cubing.net



NEXT: U' F' U2 B U2 R2 U2 B2 U2 B2 F R2 U' B' F L' D2 R' D' B' F2
 
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NEXT: U' F' U2 B U2 R2 U2 B2 U2 B2 F R2 U' B' F L' D2 R' D' B' F2
Beginners but with a 3 move 6CO1 and a 4 move APDR lol

Also, switched back to ACN from cubeDB for recons

U R' S2 U F' U L2 U B2 U' z //FB
D2 u R2 u' R u R2 U' R' u R2 U' R U R //Belt
U2 S' U' S //EO
R2 U R2 //6CO-1
U R U2 R2 U' R2 U' R2 U2 R //6CO2
U2 R2 U' R2 //APDR
U2 R U R' F' R U R' U' R' F R2 U' R' //PLL
U' //AUF

(64h, 85q, 61s, 62e)

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

f96

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Next: L2 D2 R2 U R2 B2 F2 U2 F2 L2 U B' D2 U B2 R U2 R' B2 F2
really easy red block

x' z // inspection
R F L' U L // fb
U R' u' R // 3qb
U' R U' R' // last edge
S' U S // eo
U R2 U' R2' // bottom corners
R U R' U R U' R' U R U2' R' // top corners
U' R2 U2' R2' // bottom corners
U S R2' S' R2 // bottom edge
U D' R U R' F' R U R' U' R' F R2 U' R' // pll
 

BenChristman1

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There's no next scramble, so I'll use Cubing Forever's again.
Next: L2 D2 R2 U R2 B2 F2 U2 F2 L2 U B' D2 U B2 R U2 R' B2 F2
6CO ---> 6CP ---> L5EP, 64 STM

z2 // Inspection
U' B2 U D R' D' L2 U L' U' L // FB+1E
R u' R2 U' R' U R E2 // 3QB
F R F' R' u' // EOLE
U R2 U R2 U2 R U2 R2 U' R2 U' R2 U2 R // 6CO
U2 R2 U' R2 U' D' R2 U R2 U' R2 D R2 U' D' // 6CP
M' U2 M' U M' U2 M U M2 U D // L5EP
alg.cubing.net

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

Devagio

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R2 U' D2 L' U2 F2 L' B2 L2 U2 F B2 U2 B L2 D2 R2 L2 D' L'
z2 // Inspection
U2D F D2 F' // FB (5/5)
U R' u R2 u R' // 3QB (6/11)
u'U2 R2 F R F' R2 // EOLE (7/18)
U' R U' R' D R' U R D' R U' R // TDR (12/30)
u R' U' F U' R2 U R2 U F' R U' R U' R' // ZBLL (15/45)
U2 // ABF (1/46)
Next: B2 L2 U L2 U' F2 R2 U' L2 U2 B2 L D2 F' U L2 B D2 L' D2 F2
 

CuberStache

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ZB2op

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Interesting observation: There is not a single anticlockwise quarter turn in this scramble. In a 20 move random-move scramble, the probability of this happening is 0.03%, roughly the same as a ZBLL skip.
But it's not a random move scramble but instead a random state scramble.
 

carcass

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R' F2 D L2 B2 U F2 R2 U' F2 U R2 D' F L B' D' B F R2 D'
z' y2 //inspection
U2 R' U R' F' U2 B' U2 R U' R' D' //FB, very innefficent
u R U' u' R' U2 R2 u' F R' F' R u R' F R F' U' R' F R F' //Belt
U' R' F R2 F' R'//EO
U2 R2 U2 R2 U R U2 R' U' R U' R' //CO
R2 U' R2 U R2 U' R2 U R2 U2 R2 U R U R' U' R' F R2 U' R' U' R U R' F' //CP
D' U' M' U2 M D2 U M' U M2 U M2 U M' U2 M2 //L5EP


Next Scramble: B2 D2 B R2 B U2 R2 B' D2 L2 D L U' B2 F' L R' U' L' F
 
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Next Scramble: B2 D2 B R2 B U2 R2 B' D2 L2 D L U' B2 F' L R' U' L' F
x2 //Inspection
L2 U' L U L' U' L B' R2 D' //FB
U' R U2 u' R U' R U' R' //3QB
u' R U R' U' F' U F U' F U R U' R' F' //EOLE
R2 U2 R2 //6CO1
U R U2 R2 U' R2 U' R2 U2 R //6CO2
R2 U2 R2 //APDR
U2 D' R U R' U' D R2 U' R U' R' U R' U R2 D U2 //PLL

68h, 86q, 68s, 69e

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

Devagio

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F2 R D2 R2 B' U2 F' L2 B U2 F R2 F R' D U' F2 L' D2 U' R2
z // Inspection
L B L' B U B // FB (6/6)
u' R u R' U' R' // 3QB (6/12)
u2 U S' U' S R U R' // EOLE (8/20)
U2 R U2 R' D R' U2 R D' U R U R // TDR (14/34)
R U R' U R' U2 R2 U R2 U R2 U' R' // ZBLL (13-1/46)
U // ABF (1/47)

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

BenChristman1

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Next: R' U B2 R2 L' B2 D R2 B' F2 R2 B2 D' B2 U F2 D L2 U2 L2 U'
6CO > 6CP > L5EP, 74 STM
R U' R' U R U' R' D R D2 R' F' U2 F' // FB
E' R E' u R' U u R' u // 3QB
R F' U F U' R' // EOLE
U' R2 U R2 U' F (R U R' U')3 F' // 6CO
R2 U R2 U2 D' R2 U R2 U' R2 D R2 D' // 6CP
U' M' U2 M U M2 U M' U2 M U M2 U // L5EP
alg.cubing.net

6CO > APDR > PLL, 81 STM
R U' R' U R U' R' D R D2 R' F' U2 F' // FB
E' R E' u R' U u R' u // 3QB
R F' U F U' R' // EOLE
U' R2 U R2 U' F (R U R' U')3 F' // 6CO
U' R2 U' R2 U' R2 U R2 U' R2 U R2 U' R2 U' R2 // APDR
U' R' U R' U' R D' R' D R' U D' R2 U' R2 D R2 U2 D' // PLL
alg.cubing.net

Next: R B' D L D F' D2 L F' R2 B2 R D2 L2 F2 D2 L U2 F2 R
 
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Next: R B' D L D F' D2 L F' R2 B2 R D2 L2 F2 D2 L U2 F2 R
L2 U F2 U F' R' D L' x' D' //FB
R2 u' R U' R' //3QB
E R U' R' U' F U R U' R' F' //EOLE
U R2 U2 R2 //6CO1
U' R U2 R2 U' R2 U' R2 U2 R //6CO2
R2 U' R2 U2 R2 U' R U R' d' R' F' R2 U' R' U R' F R F//6CP
U' M' U2 M U2 R2 U' S' U2 S U' R2 U' D' //L5EP

78h, 99q, 73s, 74e

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