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The FMC thread

D

Daniel Lin

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35, 28, 28 = 30.33 mo3 PR . Tied @Cale S on the last two!!!!!!!

Solve 1 was 20 to 4-twist, I inserted double hedge for 26 to 3E. Had 1 minute left so I just stuck U2 R U D' F2 U' D R U2 at the start.

Scramble 2: R' U' F U2 B2 U2 F2 L2 U2 R' F' D L B2 L D' L2 U' R' B' U2 R' U' F
D B // EO (2/2)
L2 U L2 // 123 (3/5)
D R U F2 D U' R U F2 D // 5C (10/15)

D B % L2 U L2 D ^ R U F2 D U' R U F2 D // 5C (15)
%: B2 L' U L B2 L' U' L // 3C (8-2/21)
^: D2 B U B' D2 B U' B' // (8-1/28, IF says 27 is optimal)

Final: D B' L' F L B2 L' F' L' U L2 D' B U B' D2 B U' B' R U F2 D U' R U F2 D (28)
Scramble 3: R' U' F D' U' F2 D' B2 D' R2 U2 L2 R2 F R U' B' L' B D2 B2 R2 D2 R' U' F
(L U' F R') // EO (4/4)
D' B' F D' // 222 (4/8)
U B U2 (U) // 223 (4/12)
(B2 U B U' L2) // 5C (5/17)

D' B' F & D' U B U2 L2 U B' U' B2 U' R F' U L' // 5C (17)
&: F U2 * F' D' F U2 F' D // 3C (8-3/22)
*: L2 F' R' F L2 F' R F // (8-2/28, IF says it's optimal)

Final: D' B' F2 U2 L2 F' R' F L2 F' R D' F U2 F' U B U2 L2 U B' U' B2 U' R F' U L' (28)
 
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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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