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The FMC thread

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Official 20 FMC single!

Tolong Diam Medan, round 1, solve 3

R' U' F L2 U2 F' L2 B2 F2 U2 R2 F' R F2 U F2 D R F2 D2 U F2 R' U' F
(R' U' D2 B2)//222 (4/4)
F' R' U F'//223 (4/8)
U2 B (B)//F2L-1 (3-1/10)
F' U F//3e3c (3/13)

F' R' * U F' U2 B F' ** U F B D2 U R

*=R2 U' F' U F R2//3c (6-1/18)
**=F U B U' F' U B' U' (8-6/20)

Final: F' R U' F' U F R2 U F' U2 B U B U' F' U F D2 U R (20)
 
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Official 20 FMC single!

Tolong Diam Medan, round 1, solve 3

R' U' F L2 U2 F' L2 B2 F2 U2 R2 F' R F2 U F2 D R F2 D2 U F2 R' U' F
(R' U' D2 B2)//222 (4/4)
F' R' U F'//223 (4/8)
U2 B (B)//F2L-1 (3-1/10)
F' U F//3e3c (3/13)

F' R' * U F' U2 B F' ** U F B D2 U R

*=R2 U' F' U F R2//3c (6-1/18)
**=F U B U' F' U B' U' (8-6/20)

Final: F' R U' F' U F R2 U F' U2 B U B U' F' U F D2 U R (20)

Congrats!!!!

Also congrats to fush as well
 
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What is that first insertion? I've never seen something like that before. I guess a better question is if this is something intuitive that I just need to think about more or is it some set alg that you have down for this very occasion?

Ah, I see... Just Set up move sexy.
F' R' * U F' U2 B F' ** U F B D2 U R

*=R2 U' F' U F R2//3c (6-1/18)
 
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What is that first insertion? I've never seen something like that before. I guess a better question is if this is something intuitive that I just need to think about more or is it some set alg that you have down for this very occasion?

Ah, I see... Just Set up move sexy.
If you use Rniss at that point, the cube is an F2L-1. That insert is the optimal alg to solve the F2L pair which I learnt a while back. I saw it this way, although the setup to sexy way of viewing it is valid too, but perhaps less obvious to find
 
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19 PB Single! Very lucky insertions.


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

6, 4, 8

U' B D' R' // EO + 2 pairs [4/4]
U F // sq [2/6]
R2 // sq [1/7]
(B') // another sq [1/8]
F' D2 F' R2 // 223 + sq [4/12]
U // 3e4c [1/13]

Skeleton: U' B D' R' U F R2 ^ F' D2 F' R2 U B

^ - * D' L2 D // 2e2e [3/16]
* - R2 U2 L2 U2 R2 D2 // Finish [6-3/19] WTF HAHAHA

Solution: U' B D' R' U F U2 L2 U2 R2 D L2 D F' D2 F' R2 U B (19)
 
D

Daniel Lin

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What's the probability of a scramble having

1. >=5 moves optimal EO (allowing NISS)
2. >=5 moves optimal 2x2x2 (allowing NISS)
3. both 1 and 2
4. neither 1 or 2

I assume finding 3 of these will give the 4th one
 
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What's the probability of a scramble having

1. >=5 moves optimal EO (allowing NISS)
2. >=5 moves optimal 2x2x2 (allowing NISS)
3. both 1 and 2
4. neither 1 or 2

I assume finding 3 of these will give the 4th one
Not really an answer, but I once wrote a NISS block solver and I think it managed to solve a fixed 2×2×2 block (i.e. not colour neutral) in at most 5 moves >90% of the time. (Let me check again; don't quote me on this yet.)

And yes, knowing three of those will give the fourth.

E: Ran 40 solves (fixed block, as mentioned above).
4 moves: 8
5 moves: 21
6 moves: 11
So ">90%" was an exaggeration. For CN block, this seems to suggest that it's almost always possible to do it in at most 5 moves, 4 if you're somewhat lucky. Without NISS/premoves, this is the distribution.
 
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Cologne Open 2018, Scramble 2 -- Best result on this at the comp was 28 (?)

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

24

B' // 2 pairs [1/1]
F' D' // sq + 3 pairs [2/3]
(B2 R) // sq + 123 [2/5]
(F D2 F2) // 222 + 123 [3/8]
B' U' (U) // F2L-1 [3/11]
(L' B' L' B) // F2L [4/15]
(B' U' L' U L B L2) // 3c [7-2/20]

Skeleton: B' F' D' B' U' L2 B' L' U' L U L B L U' F2 D2 F' ^ R' B2

^ - F2 R' B' R F2 R' B R [8-4/24]

Solution: B' F' D' B' U' L2 B' L' U' L U L B L U' F2 D2 F R' B' R F2 R' B' (24)
 
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22.67 ( 23 , 21 , 24 )Weekly FMC Mo3 !!! WOW !!!:D:cool:

1) R' U' F D2 R B2 R F2 D2 U2 L' D2 U2 R2 D' L' R' B L' B2 F2 D2 F D' R' U' F
( D' F' ) // 122 (2)
( L' B R' F' U2 ) // F2L#2 (5)
( L' U' L' U ) // F2L-1 (4)
D' L2 D // 3C3E (3)

S // D' L2 D ! U' L U L U2 F * R B' L F D (14)

! L' F' L F (4)
* F' R' B R F R' B' R (5)
Solution D' L2 U' L' F' L F D L U L U2 R' B R F R' B' R2 B' L F D // 23
2) R' U' F D F2 B' R F B2 D2 R' L F' R2 F2 L2 U2 D' F2 U F2 B2 U' R' U' F
F' L D' F // Blocs (4)
( F D' L2 U2 B L' ) // F2L-1 (6)
( R D' R' D B2 ) // 4C (5)

S // F' L D' F B2 D' R D @ R' L B' # U2 L2 D F' 15

@ B' L2 B R' B' L2 B R (4)
# R' U' L U R U' L' U (7) = 26

I have time so I saw a 4C3E just after the F2L-1 and found a 21 !
F' L D' F // Blocs (4)
( F D' L2 U2 B L' ) // F2L-1 (6)
( B2 ) // 3E4C (1

Skeleton: F' & L D' F B2 L B' U2 L2 D + F' (11)

+ L B' L B L2 (5)
& D R' D' L D R D' L' (5)
Solution F' D R' D' L D R D2 F B2 L B' U2 L2 D L B' L B L2 F' // 21
3) R' U' F L2 F' U2 L2 U2 R2 F2 D2 B D2 B' U L' U' F D' B2 L F' U' R2 D R' U' F
L' B // 122 (2)
( D B' D2 ) // 223 (3)
R2 F' R // Paires (3)
( R' F R F' ) // F2L-1 (4)
R' U R F U F' // 3C (6)

S // L' B' R2 F' R F U' + F' R' U' R F R' F' R D2 B D' (18)

+ U L D' L' U' L D L' (6)
Solution L' B' R2 F' R F L D' L' U' L D L' F' R' U' R F R' F' R D2 B D' // 24
 
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22.67 ( 23 , 21 , 24 )Weekly FMC Mo3 !!! WOW !!!:D:cool:

1) R' U' F D2 R B2 R F2 D2 U2 L' D2 U2 R2 D' L' R' B L' B2 F2 D2 F D' R' U' F
( D' F' ) // 122 (2)
( L' B R' F' U2 ) // F2L#2 (5)
( L' U' L' U ) // F2L-1 (4)
D' L2 D // 3C3E (3)

S // D' L2 D ! U' L U L U2 F * R B' L F D (14)

! L' F' L F (4)
* F' R' B R F R' B' R (5)
Solution D' L2 U' L' F' L F D L U L U2 R' B R F R' B' R2 B' L F D // 23
2) R' U' F D F2 B' R F B2 D2 R' L F' R2 F2 L2 U2 D' F2 U F2 B2 U' R' U' F
F' L D' F // Blocs (4)
( F D' L2 U2 B L' ) // F2L-1 (6)
( R D' R' D B2 ) // 4C (5)

S // F' L D' F B2 D' R D @ R' L B' # U2 L2 D F' 15

@ B' L2 B R' B' L2 B R (4)
# R' U' L U R U' L' U (7) = 26

I have time so I saw a 4C3E just after the F2L-1 and found a 21 !
F' L D' F // Blocs (4)
( F D' L2 U2 B L' ) // F2L-1 (6)
( B2 ) // 3E4C (1

Skeleton: F' & L D' F B2 L B' U2 L2 D + F' (11)

+ L B' L B L2 (5)
& D R' D' L D R D' L' (5)
Solution F' D R' D' L D R D2 F B2 L B' U2 L2 D L B' L B L2 F' // 21
3) R' U' F L2 F' U2 L2 U2 R2 F2 D2 B D2 B' U L' U' F D' B2 L F' U' R2 D R' U' F
L' B // 122 (2)
( D B' D2 ) // 223 (3)
R2 F' R // Paires (3)
( R' F R F' ) // F2L-1 (4)
R' U R F U F' // 3C (6)

S // L' B' R2 F' R F U' + F' R' U' R F R' F' R D2 B D' (18)

+ U L D' L' U' L D L' (6)
Solution L' B' R2 F' R F L D' L' U' L D L' F' R' U' R F R' F' R D2 B D' // 24

Please get WR this year :D
 
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3) R' U' F L2 F' U2 L2 U2 R2 F2 D2 B D2 B' U L' U' F D' B2 L F' U' R2 D R' U' F
L' B // 122 (2)
( D B' D2 ) // 223 (3)
R2 F' R // Paires (3)
( R' F R F' ) // F2L-1 (4)
R' U R F U F' // 3C (6)

S // L' B' R2 F' R F U' + F' R' U' R F R' F' R D2 B D' (18)

+ U L D' L' U' L D L' (6)
Solution L' B' R2 F' R F L D' L' U' L D L' F' R' U' R F R' F' R D2 B D' // 24
[/SPOILER]

Why do you do R2 F' R? It literally doesn't make any pairs
 
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27.00 mean for last week's forum weekly comp, with three lucky solutions.

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

L' U2 R' D B' F' D' B' U' L2
U2 R' U L U' R U F U F'
U L' U' L' B

L' U2 R' D B' // two squares (5/5)
F' D' B' U' L2 // more blocks (5/10)
(B' L2 U' L') // F2L (4/14)
(L U L' U L U' F U' F' L') // fish (10-5/19)
(L U' R' U L' U' R U2) // chips (8-2/25)

The last layer edge case is the one with edges permuted + two opposite edges flipped. One optimal alg for this is a cancellation of fruruf into Antisune, which also solves the OLLCP case for diag-pi with opposite flip. The mirror/inverse alg solve the same last layer case (at two different angles); one of the angles leads to ab4c and the other leads to ab3c. One of the 3c angles also cancels 5 moves, so of course that's the one I used. Might be the first or second time I'm using this alg in FMC.

The L3C alg at the end (which is just a Niklas + AUF) is also the optimal 3c insertion.

A 31-move solution I found near the end of the attempt (i.e. useless but interesting I guess):
(L' F2 L R F' R F2 D F) // 223 (9/9)
D' B2 D // EO (3/12)
(L' B' L' B2) // F2L-corner; AUF+ab4c2e (4/16)
(B D2 R2 U F U' R2 D B' D) // edges; AUF+ab3c (10-1/25)
(D' R D L D' R' D L2) // finish (8-2/31)

Could also have done a different 10-move EP alg to cancel one more move to get 24 to 5c, but that's even more useless. (The optimal EP alg if you can destroy one slot's corner is 9 moves iirc, but I don't have that one memorised.)
scramble: R' U' F D F2 B' R F B2 D2 R' L F' R2 F2 L2 U2 D' F2 U F2 B2 U' R' U' F

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

(L2 D' B R2) // p222 (4/4)
U R L U' L2 U L U B2 U' B2 // F2L-1 (11/15)
B' R B R2 // unexpected blocks; pF2L (4-1/18)
(R') // F2L (1-1/18)
(L' U2 L2 U L' U L U2 F' L' F) // 1LLL (11/29)

Literally couldn't find a single good skeleton on this, but I lucked out on the 1LLL. (Mirror of the OLLCP alg I normally use for this case; the normal RUF 3-gen OLLCP alg cancels one move, but leads to a U perm.)

Backup (34):
... B2 // F2L-1
B' R B R' U2 B' R B R' // EOLS (9-1/23)
F' U' L' U L F2 R U R' U' F' // 2GLL (11/34)

(Fun fact: I also encountered this same pi 2GLL case in the attempt of my 32 former NR single… although I didn't know the optimal alg at the time, only the 2-gen alg (13 moves), so I did some stuff differently to force a different 11-move 2GLL alg.) Also noticed you can do a 3-move insert for the last pair (cancelling one move) and get an 11-move antiZBLL… Edge control doesn't always pay off.

... B2 // F2L-1
B' U2 B // F2L (3-1/17)
(L' B' U2 B2 U L U' L' B' U2 L) // 1LLL (11/28)
scramble: R' U' F L2 F' U2 L2 U2 R2 F2 D2 B D2 B' U L' U' F D' B2 L F' U' R2 D R' U' F

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

L' B' R2 F' U' F' R D // 222 + square + two pairs (8/8)
R' B' U // join stuff (3/11)
(R2 L' B L U2 B2) // F2L-corner (6/17)
(L U L' U L U2 L' U') // ab3c (8-1/24)
Skeleton: L' B' R2 F' U' F' R D R' B' U2 L U2 @ L' U' L U' L' B2 U2 L' B' L R2
@ = U' R2 U L' U' R2 U L // 5 cancel (8-5/27)

Mediocre skeleton but very lucky insertion. Found an 11-move 4c3e skeleton really late; ran out of time trying to find insertions. (Looks like Tommy Kiprillis found the same 4c3e skeleton, lol.)

(D B' D2 R' U R2) U2 // 222 + square + three pairs (7/7)
(B2 L' B' L2) // more blocks (4/11)

All three solutions were found relatively early (25 minutes, 29 minutes, 15 minutes) so that took a lot of pressure off these attempts. Getting lucky isn't a crime.
 
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