The 3x3x3 Example Solve Thread

Next scramble: U2 F' U2 B L2 D2 B U2 L2 F L D R B L2 D' F L2 F R' F'

U' B D U B // 2x2
U2 F2 U2 x // FB (8)
U R U R U2 R // 2x2
M U M' Rw U R' // SB (12)
U2 L' U2 R U' Rw' U2 R Lw U' R' // CMLL (11)
U M U M' U M U M' U2 M U2 M U M U2 M2 U2 M //L6E (18)
// STM 49

EDIT: Ninja'd

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



y'
R F' R2 U' B R' U' R L F' x2 //LB (10)
R U' R' U' R' U R U2 R' U' Rw U Rw' // LB (12)
F R U R' U' R U R' U' R U R' U' F' // NMCMLL (14)
U' M' U' M' U2 M' U' M U2 M2 U' M' U2 M' U2 Rw2 // L6E (17)
// 53 STM

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

z' x //inspection
R' U L U' L F' D' //cross
U' L' U L U2 L U' L' //f2l1
R' U' R U2 R U' R2 U R //f2l2+block
U' F' R' F R U F //f2l3
R U R2 U L' U' L R2 U2 R' //f2l4
R2 D' R U2 R' D R U2 R //LL
alg.cubing.net

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

z x //inspection
L D2 L2 F //cross
U2 R' U2 R U R' U' R //f2l1
L U L' B L' B' L //f2l2
y' R' U2 R U R' U2 R //block
U R U' R' y U L' U L //f2l3
U2 R U' R' U2 F' U' F //f2l4
R' U' R B' D' R U R U' R' U' D B U //LL
alg.cubing.net

Next: D2 R' U L' B2 R' F' D B' R U2 D2 B2 L' B2 L' D2 F2 D2 R'
 
D2 R' U L' B2 R' F' D B' R U2 D2 B2 L' B2 L' D2 F2 D2 R'
D L2 D' U M U2 b // LSquare (7/7)
U R U' R' U R L U' x // LBlock (8/15)
U R U' R' r2 U' r2 U2 R U' R' // RSquare (11/26)
M2 r' U' r // RBlock (4/30)
U2 R U R' U' R' F R F' / U R U R' F' R U R' U' R' F R2 U' R' // 2lCMLL (9+14=23/53)
M' U' M' U' M' U' M' U M' U' M' U' M' U' M' U2 // ... 4-flip!? (16/69)

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

x2 y
U B' R' L F R' D2 // cross
F U F' y' F U F' // f2l1
R' U2 R // f2l2
F' U F// f2l3
y2 U' R U' R' U2 F' U' F // f2l4
y R U R B' R' B U' R' //oll
y' R B' R F2 R' B R F2 R2 //pll

alg.cubing.net

Next: R2 F B R F2 U R2 F' L2 D' F D' B L D2 F R2 U L D F D L2 U' R2
 
I know only of 2 cubers who regularly use corners first for FMC; it's not a common technique. anyway, here is a quick (like, almost linear) attempt:
Next: R2 F B R F2 U R2 F' L2 D' F D' B L D2 F R2 U L D F D L2 U' R2
Premoves: B' U'
L' D2 //2x2x2 (2/2)
F R F' //Square (3/5)
U2 F' U' R2 F R2 //F2L-1 (6/11)
D' F' D //EO (3/14)
F' R F' R' F2 R F R' //All but 3 corners (8/22)
U2 B2 U' F2 U B2 U' F2 U' //Too lazy to look for insertions (9/31)
B' U' //Undo premoves (2/33)

Next scramble: U2 L2 B' R2 F D2 F' U2 F L2 D2 U B' D L B' F D' U' F' U2
 
I know only of 2 cubers who regularly use corners first for FMC; it's not a common technique. anyway, here is a quick (like, almost linear) attempt:

Premoves: B' U'
L' D2 //2x2x2 (2/2)
F R F' //Square (3/5)
U2 F' U' R2 F R2 //F2L-1 (6/11)
D' F' D //EO (3/14)
F' R F' R' F2 R F R' //All but 3 corners (8/22)
U2 B2 U' F2 U B2 U' F2 U' //Too lazy to look for insertions (9/31)
B' U' //Undo premoves (2/33)

Couldn't find anything good, so I ran an insertion finder... Well, it seems there are no really good solutions:

Skeleton:
L' D2 F R F' U2 F' U' R2 F R2 D' F' D F' [@1] R F' R' F2 R F R' B' U'

Insert at @1: F2 L' B2 L F2 L' B2 L

Only 1 move is canceled with a 8-move insertion, so 31 moves overall.
 
U2 L2 B' R2 F D2 F' U2 F L2 D2 U B' D L B' F D' U' F' U2
z2 // Inspection
u L' U B' u y // LSquare (5/5)
r U2 r B' // LBlock (4/9)
R2 r' U r U R U2 R2 // RSquare (8/17)
U R' U2 R U' R' U R // RBlock (8/25)
L U2 L' U' L U' L' // CMLL (7/32)
U' M' U' M U' M' U M // EO+ULUR (8/40)
U' u2 M u2 M' // EP (5/45)

Next: L2 R2 U2 R2 B2 U L2 F2 U2 B2 U' B' L' U' L2 R' D2 B' U2 B D'
 
x2 y
U B' R' L F R' D2 // cross
F U F' y' F U F' // f2l1 Why rotate?!
R' U2 R // f2l2
F' U F// f2l3
y2 U' R U' R' U2 F' U' F // f2l4
y R U R B' R' B U' R' //oll Woah Alg. Y U NO R' U' R' F R F' U R ? Did you know it would give a A over a G?
y' R B' R F2 R' B R F2 R2 //pll I am assuming you don't execute it as this and that you do indeed x or x' without being aware. If not, make a video. I am interested in how you'd execute.

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

y2 z' // Inspection
U L R' F' R D' R' D' // Cross // 8/8
R' U' R2 U R' // F2L #1 // 5/13
D F U' F' D' // F2L #2 // 5/18
U' L U' L' R' U R U y R' U F R F' // F2L #3 &#4 Multi-slotted// 13/31
U' r' R2 U R' U r U2 r' U M' // OLL // 11/42
B' R2 F' R' D’ z' F' R2 U' R' U R' F R U' f // PLL // 15/57
U2 // AUF // 1/58

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

y x' // Inspection
D L D L2 R U R U' R2 D' // XCross // 10/10
U' L U' L' R U' R' // F2L #2 // 7/17
L U2 L' y' R U R' // F2L #3 // 6/23
U2 L U2 L2 U' L2 U' L' // // 8/31
r R2’ U' R U' R' U2 R U' R r' // OLL // 11/42
M’ U’ M2 U’ M2 U’ M’ U2 M2 // PLL // 9/51
U // AUF // 1/52

Next: B R L' U2 R' D B2 U2 R' F' R2 B2 R B2 R2 U2 F2 L' U2 D2 L'
 
y x' // Inspection
D L D L2 R U R U' R2 D' // XCross // 10/10
U' L U' L' R U' R' // F2L #2 // 7/17
L U2 L' y' R U R' // F2L #3 // 6/23
U2 L U2 L2 U' L2 U' L' // // 8/31
r R2’ U' R U' R' U2 R U' R r' // OLL // 11/42
M’ U’ M2 U’ M2 U’ M’ U2 M2 // PLL // 9/51
U // AUF // 1/52

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

z2 y' L D' R' U2 B' R U R U' R L F M x
R U' R' U F' U' F
y2 R U M' U2 M U R' U2 y' R' U R
r U R' U' L' U l F'
U' M2 U' M U2 M' U' M2

R2 B2 R' D' U2 L2 F' L D U2 L D2 R' L D2 B2 F2 L' F2 B' R2 U' D' B2 L
 
z2 y' L D' R' U2 B' R U R U' R L F M x
R U' R' U F' U' F
y2 R U M' U2 M U R' U2 y' R' U R
r U R' U' L' U l F'
U' M2 U' M U2 M' U' M2

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

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

x'
F L R2 B' R' - Cross
y2 L U' L' U' R U R' - 1st pair
L U' L' U' R' U' R - 2nd pair
U L' U L U2 L' U L -3rd pair
L U2 L' U' L U L' - 4th pair
U F R' F' r U R U' r' - OLL bowtie
U2 R' U L' U2 R U' R' U2 R L - Ja Perm
U - AUF

If someone sees a better solution than what i did with green cross let me know thanks

Next Scramble
B2 L' D2 F' U B' D' B2 U2 R F' L2 U2 F' R2 F' R2 U2 B2
 
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If someone sees a better solution than what i did with green cross let me know thanks

i don't know if this is better but here's my weird take on a cfop solve:

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

x'
F L R B' R U R' B2 R B2 R' B // (12) xcross
U' F U2 F2 U B' U B U' F // (10) 2 f2l things
U2 F U' F' U L' U L // (8) last f2l thing
U R U2 R' U' R U' R2' U2' R U R' U R // (14) corners
U M2 U M2 U' E2 M E2 M // (9) z-perm

53 stm

F R2 B2 U2 F2 U2 B L2 B' R2 F D' B U' R' D' L2 R2 B U'

y2
U B2 U2 L' U' // (5)
x M' U2 M U2 R U r' U' R2 U2 r' U' r // (13)
U R2 D R' U2 R D' R' U2 R' // (10)
U2 M' U' M2 U2 M' U M' U2 M2 U2 R r // (13)

41 stm, eck

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

z2 u L B2 R2 D L U R B' R' // x-cross
U L' U L R' U R // 2nd pair
U2 L' U L // 3rd pair
U' L U L' U L U L' // 4th pair
U2 R' U' F U R U' R' F R // OLL
R U2 R' D R U' R U' R U R2 D R' U' R u2 // PLL

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