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[Help Thread] FMC Discussion

Hi

After all the easy scrambles, here is a really hard one!
It was the scramble of the Dutch Open 2009 FMC competition october 17 2009:

R2 D B2 U B2 D B' D' R' U' F' D2 B2 R D L' B' F (18)

Winning solution was 35 moves bij Erik and me
(posting solution on request)

Gus

I found this post, and tried.

Solution: F' U2 L U L' U B2 D' R D B2 F D' B U2 F' L2 F2 U' R U R' B R' B' R F' R D' L2 (30 HTM)

(For inverse scramble)

Pre-scramble: U2 B' D

1st 2x2x1 block: L2 D R'
2nd 2x2x1 block: F R' B R
3rd 2x2x1 block: B' R U' R'
F2L minus 1 slot: U F'
All but 2 edges/2 corners: F' L2 F
Correction: U2 B' D
Setup+J-perm: F' (B2 D' R' D B2 U' L U' L' U2) F

There might be another good insertion, but I ran out of time...
 
Correct explanation for FMC #310 classic

Scramble: U' D2 L R' F2 R B D' F' B2 U' D' F' R2 L2 F U B' D2 U' B' L F2 U R D' B F R' U'
Solution: L R2 F' D' F2 B2 R' U L U' R2 U L U B2 D B2 U F2 R2 U R2 U F2 U' L2 (26 HTM)

Pre-scramble: L2

1) getting into <U,D,L,R,F2,B2> group

L R2 F'

2) getting into <U,D,L2,R2,F2,B2> group
2a) edges

D' F2 B2 R'

2b) corners

U L U' R2 U L'

3) domino-solve

2x2x2 block: L2 U B2 D B2
2x2x3 block: U F2 U
F2L minus 1 slot: F2
Solve all: F2 U' R2 U R2 U F2 U'
Correction: L2

1) and 2) are based on a simplified Thistlethwaite approach.
(Hard scramble for my usual approach)
 
@okayama: please suggest a nice insertion for the same scramble(FMC-310)
with premoves:RUR'
L F2 L' F' B2 R2 L'F' R F' R 'F2 R F2 D F' D'(17 moves) leaves 5 edges.
how will you end this?
 
@okayama: please suggest a nice insertion for the same scramble(FMC-310)
with premoves:RUR'
L F2 L' F' B2 R2 L'F' R F' R 'F2 R F2 D F' D'(17 moves) leaves 5 edges.
how will you end this?

Your skeleton: L F2 L' * F' + B2 R2 L' F' R F' R' F2 R F2 D F' D' R U R' (20 HTM)

Insert at *: L S2 L' F' L S2 L' F
Insert at +: L2 U' L2 f2 L2 U' L2 f2 (or L2 U' L2 B2 R2 D' R2 B2)

Final solution: L f2 L' F' L S2 L U' L2 B2 R2 D' L' F' R F' R' F2 R F2 D F' D' R U R' (27 HTM)

I stopped searching insertions at +, so they might not be optimal. Keep trying by yourself! ;)
 
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Correct explanation for FMC #310 classic

Scramble: U' D2 L R' F2 R B D' F' B2 U' D' F' R2 L2 F U B' D2 U' B' L F2 U R D' B F R' U'
Solution: L R2 F' D' F2 B2 R' U L U' R2 U L U B2 D B2 U F2 R2 U R2 U F2 U' L2 (26 HTM)

Pre-scramble: L2

1) getting into <U,D,L,R,F2,B2> group

L R2 F'

2) getting into <U,D,L2,R2,F2,B2> group
2a) edges

D' F2 B2 R'

2b) corners

U L U' R2 U L'

3) domino-solve

2x2x2 block: L2 U B2 D B2
2x2x3 block: U F2 U
F2L minus 1 slot: F2
Solve all: F2 U' R2 U R2 U F2 U'
Correction: L2

1) and 2) are based on a simplified Thistlethwaite approach.
(Hard scramble for my usual approach)

Hi Okayama,
Very smart solve! How long did you need to find this?
Yes, this was a very hard scramble for 1-hour solve. I had a 35-move-backup-solve but I thought it wasn't worth posting. Now I see the best 1-hour solve was 36 moves. What was your 1-hour solution?

With pre-moves U2 L2 you can find nice starts but all left rubbish, also for NISS!

Gus
 
Hi Okayama,
Very smart solve! How long did you need to find this?
Yes, this was a very hard scramble for 1-hour solve. I had a 35-move-backup-solve but I thought it wasn't worth posting. Now I see the best 1-hour solve was 36 moves. What was your 1-hour solution?

With pre-moves U2 L2 you can find nice starts but all left rubbish, also for NISS!

Gus

Hi Guus,

Curious about the length of time? Maybe not only you. :D

I spent a long time actually, a few hours. Most of the times were spent on investigating the step 3).
So I don't think this approach can be used in an official competition, at least for me.

In 1-hour solve of #310, I didn't have any full solution (DNF).
Here are some of my tries:

1st 2x2x1 block: F' D2 F2 D2
2nd 2x2x1 block: B2 L2 U2
Pseudo 2x2x3 block: L' U R'
F2L minus 1 slot: F' U' F2 U F L'
Finish F2L L' B L B'
Pair 3-cycle: L U L' U' L' B L B'

first try, almost linear solve, which leaves 3 corners with 27 HTM.
I should complete this skeleton as a backup solution. :(

Another interesting start for the inverse scramble:

2x2x2 block: L' U2 D2 R' L' D
2x2x3 block: U2 F U2 R2
F2L minus 1 slot: L' U L U2

I couldn't find a good continuation in 1-hour. But just now, I found the following continuation:

All but 3 corners: U2 F' U F' U2 F U F' U F2 U2

Not special, 23-moves skeleton. I hope I could find this skeleton in 1-hour...
 
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FMC at Swedish Open 2010
Scramble: R2 B2 R B2 R' B2 R' F2 D2 U2 F2 R' F' L' B2 U L2 D B' L2 R2 (21f)
Solution: U F' L F2 U2 R2 U R' B' L2 D L D B D B' D2 B D B' R' B R2 U2 R' D R U2 R' (29 moves NR)

2x2x3: U F' L F2 U2 R2 U R' B' L' (10) The B' is to preserve a pair
Switch to inverse scramble with premoves L B R U' R2 U2 F2 L' F U'
F2L-1: D' R' B' R (14) The D' is to orient 2 edges
Switch back to normal scramble with premoves R' B R D, then apply the 2x2x3 block moves
Make LL block and finish F2L: L' D L D B D B' D2 B D B' (24) Leaves 3 corners
That creates the insertion-less solution as U F' L F2 U2 R2 U R' B' L2 D L D B D B' D2 B D B' R' B R * D
At *, insert R U2 R' D R U2 R' D' to cancel 3 moves, giving 24+8-3=29 moves
 
Hi,
I tried FMC for this weeks competition at mustcube! This is my first solve and as a result it is very bad. Please have a look and see if there is something you can insert.

Scramble: R L U D F2 D R' L' D U2 R' U' B' F' L B' R' D U F' U R F2 B' R' F' L U' B R2

Solve:
2x2x3 block: L' U' R D R D2 U2 B
Orienting & permuting corners: B U' B'U' R2
R' F' L' F R F' L F
F' L F' R2 F L' F' R2 F2
now a 5 cycle of edges remains
FB'R'F'B
RF2U'R'LF2L'RU'F2
R'U

The whole solution is: L' U' R D R D2 U2 B2 U' B'U' R F' L' F R F' L2 R2 F L' F' R2 F' B' R' F' B R F2 U' R' L F2 L' R U' F2 R' U

The whole solution is 40 moves. Nice for a start!!
 
Hi,
I tried FMC for this weeks competition at mustcube! This is my first solve and as a result it is very bad. Please have a look and see if there is something you can insert.

Scramble: R L U D F2 D R' L' D U2 R' U' B' F' L B' R' D U F' U R F2 B' R' F' L U' B R2

Solve:
2x2x3 block: L' U' R D R D2 U2 B
Orienting & permuting corners: B U' B'U' R2
R' F' L' F R F' L F
F' L F' R2 F L' F' R2 F2
now a 5 cycle of edges remains
FB'R'F'B
RF2U'R'LF2L'RU'F2
R'U

The whole solution is: L' U' R D R D2 U2 B2 U' B'U' R F' L' F R F' L2 R2 F L' F' R2 F' B' R' F' B R F2 U' R' L F2 L' R U' F2 R' U

The whole solution is 40 moves. Nice for a start!!

Just doing last three corners at the end I found this 35 mover with your 2x2x3:

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

L' U' R D R D2 U2 B [2x2x3]
R U' R U' R' F' U2 F [EO]
U2 B U' B' U' R' U' R U' R' U R . U2[Leaving 3 corners]
Insert at dot: R D R' U' R D' R' U (Cancels two moves)

Very nice beginning, especially for a first-timer!
 
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Need help for two solves :)

#1
scramble: L F2 B D2 F' L U' B2 R2 U' R D2 R2 L' U F' B2 D2 U' D F2 U2 L' B L

x y2 F L' U B' R2 D' F' 2x2x3 - 1 edge
U' L B' L' B U R' triple x cross (14)
and now...?

#2
scramble: R2 F B L' D2 U F2 U' L R' D' L2 U2 B' R D2 U' L2 R2 F D2 B' L2 B U

L' D' 2x2x2
U' create a pair
R' U' B R2 U' B U2 B triple x cross (11)

now i can't find a decent ending
 
1#: Rotations? Yuck.

2#: Leaves three corners: F R' F' R2 B U B' U R' U' R U R' (24) (Premovish strategy with R') Too lazy to search for an insertion. But if you bother to look for one, it can be sub-30 if you find a place to cancel 3 moves.
 
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My solution from Swedish Open 2010:

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

S1+2: U2 F U D' L F2 B L2
S3+4a: F' B R' B' R F
S4b: D2 L' D' L D' R' B2 R
ZBLL: R' B' R2 B R2 B R2 B2 R2 B2 R B (31f)

I really don't like the end, but couldn't find anything better.
 
Hi,
I tried FMC for this weeks competition at mustcube! This is my first solve and as a result it is very bad. Please have a look and see if there is something you can insert.

Scramble: R L U D F2 D R' L' D U2 R' U' B' F' L B' R' D U F' U R F2 B' R' F' L U' B R2

Solve:
2x2x3 block: L' U' R D R D2 U2 B
Orienting & permuting corners: B U' B'U' R2
R' F' L' F R F' L F
F' L F' R2 F L' F' R2 F2
now a 5 cycle of edges remains
FB'R'F'B
RF2U'R'LF2L'RU'F2
R'U

The whole solution is: L' U' R D R D2 U2 B2 U' B'U' R F' L' F R F' L2 R2 F L' F' R2 F' B' R' F' B R F2 U' R' L F2 L' R U' F2 R' U

The whole solution is 40 moves. Nice for a start!!

Just doing last three corners at the end I found this 35 mover with your 2x2x3:

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

L' U' R D R D2 U2 B [2x2x3]
R U' R U' R' F' U2 F [EO]
U2 B U' B' U' R' U' R U' R' U R . U2[Leaving 3 corners]
Insert at dot: R D R' U' R D' R' U (Cancels two moves)

Very nice beginning, especially for a first-timer!

Thanks!

Nice to see a 35 mover of my solve !!!
Can you explain how you figure out insertions in a particular solve. I do not seem to get the hang of that!
 
Heise has a page on how to recognize and solve 8-move cases:

http://www.ryanheise.com/cube/corner_3_cycles.html

What you can do is stickering the pieces you need to cycle according to their sticker cycle ("This sticker ends up here and this one here"). When I try insertions I sticker one cycle like 1->2->3 and the other one A->B->C so each corner has two stickers. Then you just step through the solution and take note of every time you see that the corners has solvable with a 8 mover. For the solution above I didn't need any stickers, since I did the insertion at the end where it's obvious where every corner needs to go.

hth
 
Weekly (D' F D' F' L' D L2 R U2 F' U' B U2 F R D F2 U'), I had a 12 move triple x :

U' D' L2 D' B2 U D2 L' D F2 D2 L'

But the rest sucked so I took a DNF.

Edit, Hmm, just found this for last pair and EO : F' D2 F *

* alt 1 : D2 F L' F' L D L B' L' B
* alt 2 : D' L B' L' B D' F L' F' L

Both gives 25 and the same ZBLL case, that I don't know, both my COLL and it's mirror leaves a U-PLL :(
 
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Kenneth,I found 30 move solution with your first 10 moves (gotta take care of those bad edges!):

U' D' L2 D'.B2 U D2 L' D F2
D' B D' B2 L' B
L' D L D' L' D' L D2

Insert at dot: D R' D' L' D R D' L (Two moves cancel)

Stealing others' beginnings is pretty fun.
 
Yes, the edges sucked, that's why I did not find a good end. I must work on a few standard ways to avoid situations like that.

Nice work Mr Stålgren =)

You should have come to SOC, you are a potentional winner in FMC. (Next time will probably be the Cube day in "Blackan", be there!)
 
first
i'm just a newbie and i'm vietnamese so my english not well
so some words i said is wrong,srr
second
i just start FMC for a week.
i finish the cube by xcross>f2l>zbll but some zbll i don't know
i need someone help me about that
thank all
 
Here's my yet another sub-30 solve from Estonian Open:

Scramble: D2 L2 F D2 U2 B R2 U2 F' U2 R' D R U2 L' U' R2 F' L2 U F
(Inverse scramble: F' U' L2 F R2 U L U2 R' D' R U2 F U2 R2 B' U2 D2 F' L2 D2)

Solution: F' B2 R2 B U R U' R2 B2 R' B2 R2 B R' D' L2 D R D' L2 R' U' R2 B2 L' (25 HTM)

Pre-move for the inverse scramble: F

2x2x3: L B2 R2 U R D.
Pseudo F2L minus slot: B' R2 B2 R B2
Leave 3 corners: R2 U R' U' B' R2 B2

Insert D' L2 D R' D' L2 D R at the dot to cancel 2 moves.

I didn't have much time in the end so I was rushing a bit and I felt quite nervous so it's possible that I overlooked a better insertion. I spent quite a lot of time for the start, which caused the time trouble. I was quite surprised to find such a nice start on a scramble with no pairs. :)

My next try will be in the European championships, I feel anxious already. :p
 
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Isn't that pre-move "related to the scramble" though? Not that I personally think that your solution should have been disqualified, but that's still pretty much what the regulations state.
 
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