KBCM step 5
ELL algorithms:
ELL 1:
Format for case description:
B-side
..8..7.. 5.....6 4.....3 ..1..2..
F-side
case number: (nr of moves) (cube orientations) alg
The numbering in the case descrition tells which two edges that are being solved, nr 1 and 2. These edges initially are palced at positions 1-8. Even edges (really only nr 2) are oriented at even places and the other way around at odd places. Same thing goes for the odd edge (nr 1).
The cases:
..8..7.. 5......6 4......3 ..1..2..
1-1 + 2-2 : (0) Solved 1-1 + 3-2 : (8) (y' x') r U' R U r' U' R' U 1-1 + 4-2 : (8) (y' x') U' R U r U' R' U r' 1-1 + 5-2 : (8) (y x') r U L' U' r' U L U' 1-1 + 6-2 : (8) (y x') U L' U' r U L U' r' 1-1 + 7-2 : (8) (y2 x') l' U L' U' l U L U' 1-1 + 8-2 : (9) (x') U2 l2 U L U' l2 U L' U
(49 moves / seven cases = 7.0 average)
..8..7.. 5......6 4......3 ..1..2..
2-1 + 1-2 : (12) (x') M' U' R U M U2 M2 U R' U' M2 U2 2-1 + 3-2 : (10) r' M D2 l' U l D2 l' U' r2 2-1 + 4-2 : (10) l2 U' r' D2 r U r' D2 l' M' 2-1 + 5-2 : (10) r' M D2 l' U' l D2 l' U r2 2-1 + 6-2 : (10) l2 U r D2 r' U' r' D2 l' M' 2-1 + 7-2 : (10) r U2 l D2 l' U2 l D2 l' r' 2-1 + 8-2 : (10) r' l' D2 r U2 r' D2 r U2 l
(72 = 10.30)
..8..7.. 5......6 4......3 ..1..2..
3-1 + 1-2 : (10) r2 U l D2 l' U' l D2 r M' 3-1 + 2-2 : (8) (y x') U L' U' l' U L U' l 3-1 + 4-2 : (14) U2 r U' r' U' r' U r2 U r' U' r' U' r 3-1 + 5-2 : (10) (y x') r U L' U' r' l' U L U' l 3-1 + 6-2 : (8) (y' x') M' U' R U M U' R' U 3-1 + 7-2 : (10) (x') l' U' R U l r U' R' U r' 3-1 + 8-2 : (9) (y) Ra' u2 R U' R' u2 R U L
(69 = 9.86)
..8..7.. 5......6 4......3 ..1..2..
4-1 + 1-2 : (10) M l D2 r U' r' D2 r U l2 4-1 + 2-2 : (8) (y x') l' U L' U' l U L U' 4-1 + 3-2 : (11) (y x') U2 l2 U' L' U M2 U' L U r2 U2 4-1 + 5-2 : (8) (y x') M' U L' U' M U L U' 4-1 + 6-2 : (10) (y x') l' U L' U' l r U L U' r' 4-1 + 7-2 : (10) (y2 x') l' U' R U l r U' R' U r' 4-1 + 8-2 : (11) (x') U2 l2 U' L' U M2 U' L U r2 U2
(68 = 9.71)
..8..7.. 5......6 4......3 ..1..2..
5-1 + 1-2 : (10) r2 U' l D2 l' U l D2 r M' 5-1 + 2-2 : (8) (x') l' U L' U' l U L U' 5-1 + 3-2 : (10) (y' x') r U' R U r' l' U' R' U l 5-1 + 4-2 : (8) (y x') M' U L' U' M U L U' 5-1 + 6-2 : (14) (y2) l' U l U l U' l2 U' l U l U l' U2 5-1 + 7-2 : (10) (x') l' U L' U' l r U L U' r' 5-1 + 8-2 : (14) (y' x') L' U' r U' R U r' l' U' R' U l U L
(74 = 10.57)
..8..7.. 5......6 4......3 ..1..2..
6-1 + 1-2 : (10) l M D2 r U r' D2 r U' l2 6-1 + 2-2 : (8) (y' x') l' U' R U l U' R' U 6-1 + 3-2 : (8) (y' x') M' U' R U M U' R' U 6-1 + 4-2 : (10) (y' x') l' U' R U l r U' R' U r' 6-1 + 5-2 : (11) (y' x') U2 r2 U R U' M2 U R' U' l2 U2 6-1 + 7-2 : (10) (y2 x') l' U L' U' l r U L U' r' 6-1 + 8-2 : (11) (x) U2 l2 U' R' U M2 U' R U r2 U2
(68 = 9.71)
..8..7.. 5......6 4......3 ..1..2..
7-1 + 1-2 : (10) r l D2 l' U2 l D2 l' U2 r' 7-1 + 2-2 : (9) (x') U2 r2 U' R' U r2 U' R U' 7-1 + 3-2 : (11) (x) U2 r2 U' R' U M2 U' R U l2 U2 7-1 + 4-2 : (14) (y' x') L' U' l' U' R U l r U' R' U r' U L 7-1 + 5-2 : (11) (x) U2 r2 U L U' M2 U L' U' l2 U2 7-1 + 6-2 : (14) (y x') R U l' U L' U' l r U L U' r' U' R' 7-1 + 8-2 : (6) r2 U2 r2 Uu2 r2 u2
(74 = 10.57)
..8..7.. 5......6 4......3 ..1..2..
8-1 + 1-2 : (10) l' U2 r' D2 r U2 r' D2 r l 8-1 + 2-2 : (8) (y2 x') r U' R U r' U' R' U 8-1 + 3-2 : (10) (y2 x') r U L' U' r' l' U L U' l 8-1 + 4-2 : (10) (x') r U L' U' r' l' U L U' l 8-1 + 5-2 : (10) (y2 x') r U' R U r' l' U' R' U l 8-1 + 6-2 : (10) (x') r U' R U r' l' U' R' U l 8-1 + 7-2 : (8) (y2 x') M' U' R U M U' R' U
(68 = 9.71)
Total moves / cases ratio: 524 / 56 = 9.68
ELL 2:
Cases here are the same as for ELL 1 but after a y2 cube orientation minus all cases that has got an 7 or an 8 in the number.
.Solved. 5......6 4......3 ..1..2..
1-1 + 2-2 : (0) Solved 1-1 + 3-2 : (8) (y' x') r U' R U r' U' R' U 1-1 + 4-2 : (8) (y' x') U' R U r U' R' U r' 1-1 + 5-2 : (8) (y x') r U L' U' r' U L U' 1-1 + 6-2 : (8) (y x') U L' U' r U L U' r'
(32 = 6.4)
.Solved. 5......6 4......3 ..1..2..
2-1 + 1-2 : (12) (x') M' U' R U M U2 M2 U R' U' M2 U2 2-1 + 3-2 : (10) r' M D2 l' U l D2 l' U' r2 2-1 + 4-2 : (10) l2 U' r' D2 r U r' D2 l' M' 2-1 + 5-2 : (10) r' M D2 l' U' l D2 l' U r2 2-1 + 6-2 : (10) l2 U r D2 r' U' r' D2 l' M'
(52 = 10.4)
.Solved. 5......6 4......3 ..1..2..
3-1 + 1-2 : (10) r2 U l D2 l' U' l D2 r M' 3-1 + 2-2 : (8) (y x') U L' U' l' U L U' l 3-1 + 4-2 : (14) U2 r U' r' U' r' U r2 U r' U' r' U' r 3-1 + 5-2 : (10) (y x') r U L' U' r' l' U L U' l 3-1 + 6-2 : (8) (y' x') M' U' R U M U' R' U
(50 = 10.0)
.Solved. 5......6 4......3 ..1..2..
4-1 + 1-2 : (10) M l D2 r U' r' D2 r U l2 4-1 + 2-2 : (8) (y x') l' U L' U' l U L U' 4-1 + 3-2 : (11) (y x') U2 l2 U' L' U M2 U' L U r2 U2 4-1 + 5-2 : (8) (y x') M' U L' U' M U L U' 4-1 + 6-2 : (10) (y x') l' U L' U' l r U L U' r'
(47 = 9.4)
.Solved. 5......6 4......3 ..1..2..
5-1 + 1-2 : (10) r2 U' l D2 l' U l D2 r M' 5-1 + 2-2 : (8) (x') l' U L' U' l U L U' 5-1 + 3-2 : (10) (y' x') r U' R U r' l' U' R' U l 5-1 + 4-2 : (8) (y x') M' U L' U' M U L U' 5-1 + 6-2 : (14) (y2) l' U l U l U' l2 U' l U l U l' U2
(50 = 10.0)
.Solved. 5......6 4......3 ..1..2..
6-1 + 1-2 : (10) l M D2 r U r' D2 r U' l2 6-1 + 2-2 : (8) (y' x') l' U' R U l U' R' U 6-1 + 3-2 : (8) (y' x') M' U' R U M U' R' U 6-1 + 4-2 : (10) (y' x') l' U' R U l r U' R' U r' 6-1 + 5-2 : (11) (y' x') U2 r2 U R U' M2 U R' U' l2 U2
(47 = 9.4)
Total moves / cases ratio: 278 / 30 = 9.27
ELL 3:
Here the cases has got a little diffrent description:
The solved case:
43 12
12 = UF-dedge, 43 = UB-dedge. Even edges are oriented at even places and so on...
(1:24) Number of these cases in the whole group.
"alg" (number of turns)
PLL-parity:
21 34
(1:24)
r2 U2 r2 (U2+u2) r2 u2 (6)
Orientation only:
34 21
(1:24)
M' U M' U M' U2 M U M U M U2 (12)
Orientation + PLL-parity:
12 43
(1:24)
x' U (l+r'+R') U x' (PLL-parity) x U' (l'+r+R) U' x (12)
Looks weird but it is three set up turns + cube orientations at first, then the PLL-parity + undo set up. (l+r'+R') is a three layer turn =)
OLL-parity:
43 21
(2:24)
F2 l2 F2 U2 l' U2 l U2 l2 F2 r' F2 r U2 l' (15)
O + P (both paritys):
34 12
(2:24)
r U2 r' E2 F2 l' F2 l F2 r F2 r' D2 l' (14)
These are four cases of three cycles solved using a commutator. The same alg is also used in step ELL 1, for example case "7-1 + 1-2".
41 23
(2:24)
r l D2 l' U2 l D2 l' U2 r' (10)
23 41
(2:24)
l' r' D2 r U2 r' D2 r U2 l (10)
42 31
(2:24)
r U2 l D2 l' U2 l D2 l' r' (10)
13 24
(2:24)
l' U2 r' D2 r U2 r' D2 r l (10)
Orient mixed:
14 23
(1:24)
r' U2 r2 U2 r U2 r' U2 r U2 r2 U2 r' (13)
Mirror:
32 41
(1:24)
l U2 l2 U2 l' U2 l U2 l' U2 l2 U2 l (13)
Swap two diagonaly:
41 32
(1:24)
r S2 U2 r' U2 r U2 l' U2 l F2 r' B2 l' (14)
Mirror:
23 14
(1:24)
l' S2 U2 l U2 l' U2 r U2 r' F2 l B2 r (14)
Swap two opposite:
42 13
(2:24)
r2 D2 r' D2 l D2 l' D2 B2 l' B2 r' (12)
Same as above + PLL-parity:
31 24
(2:24)
F2 l2 F2 l F2 l' F2 r U2 l U2 r' U2 l U2 l' (16)
Total moves / cases ratio: 278 / 24 = 11,58
ELL-1: 524 / 56 = 9.68 ELL-2: 278 / 30 = 9.27 ELL-3: 278 / 24 = 11,58
All three ELL steps: 30,53
Whole LL:
CLL = 9,18 ELL = 30,53 [u] = 0.75
Total: 40,46
For real it is better, you can work on ELL1 while solving CLL, you can choose 1 of 4 possible ELL1's, you can work on ELL2 while solving ELL1 and work on ELL3 while doing ELL2. My true move count for LL is about 35-37.
