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#1

KCLL is an extension to the Roux method. It involves solving the corners and solving the edge orientation or changing it from a hard case to an easy case in a single algorithm.

The exact method is deliberately vaguely defined, since the actual techniques I'm using have changed while I developed it and I'm sure I'm not quite done yet. Also, it can be approached by learning 300+ algorithms, or next to none.

So far, I've had two main approaches to tackling this technique. The first was algorithmatically, and I learnt the entire 'A' set.

Here are the algs I know/use for the sake of completeness;

Recently (like, this weekend) I was messing about with KCLL. When talking about it with Gilles, I recall him saying that a single M' before CMLL can change the worse LSE case into one of the best. Remembering this, I started to try and approach KCLL intuitively. I've written down what I found for the first Sune case. I actually do this in solves.

(Since I wrote the intuitive guide I decided to split CMLL and KCLL discussion, which is why this thread now exists)

The exact method is deliberately vaguely defined, since the actual techniques I'm using have changed while I developed it and I'm sure I'm not quite done yet. Also, it can be approached by learning 300+ algorithms, or next to none.

So far, I've had two main approaches to tackling this technique. The first was algorithmatically, and I learnt the entire 'A' set.

Here are the algs I know/use for the sake of completeness;

Code:

```
A2;
none; R2F2RUL'U2RU'L
ULUR; R2B'R'BR'F'U'FRUR'
UFUB; F'L'U2RU'LUR'FURU2R'
UBUR; ULF'LF2R'FRF2L2
URUF; UR'FR'F2LF'L'F2R2 / rUR'U'r'FR2U'R'U'RUR'F'
UFUL; L2F2R'F'RF2L'FL'
ULUB; U2R2F2LFL'F2RF'R
4flip U'M'UL2B2LUR'U2LU'r
6flip R'URU2L'BL2R'FU'RUL'
A6;
none; FRU'R'U'RUR'F'RUR'U'R'FRF'
ULUR; R'UL'U2RU'x'UL'U2RU'
UBUR; r'UL'U2RU'BL'B2RB'L
4flip BR'U2B2R'BR2B'RB2U2RB' / R'U2FL2RUR'U'L2F2U2FR
6flip M'UM'rBU2B'UR'FR'F'R2Ur'
```

Recently (like, this weekend) I was messing about with KCLL. When talking about it with Gilles, I recall him saying that a single M' before CMLL can change the worse LSE case into one of the best. Remembering this, I started to try and approach KCLL intuitively. I've written down what I found for the first Sune case. I actually do this in solves.

Every KCLL alg is derived from the 'main' case in this example. You can also derive COLL from CMLL cases with the same techniques quite easily.

Sune; RUR'URU2R'

lol COLL.

URUF; rUR'URU2r'

Simply conjugating an algorithm by M' can influence EO.

ULUR; UM2U' rUR'URU2 R'M'

Forcing one of the easy 4flip cases with the above trick and cancelling the M2 at the start of the EO case with the end of the alg produces the easy 3 move EO case.

UFUB; M RUR'URU2R' M'

Same as before, shorter setup. (cancels from M2 rUR'... to M conj)

UBUR; UM2U' rUR'URU2r'

Solving straight to the 3 move EO case.

UFUL; M RUR'URU2R' M'

This is the same alg as the UF/UB flip case, but achieves 3 move EO differently.

ULUB; M RUR'URU2R' UM'

This time you can cancel the above case into the EO to have it fully solved.

UBURUFUL; M' rUR'URU2R' M2

Conjugate by M2 to flip UR/DB for 3 move EO.

6flip; rUR'URU2R' M'

Cancel a FatSune into M2 4flip EO.

---

Of course, this is just the beginning. I introduced the main concepts, but there's much more to discover. For example, on E6/fruruf - try doing f instead of F and watch the magic unfold. Some cases aren't as flexible as this and may require alg generation, but you can at least apply this technique to

04:04:21 <Kirjava> it's all about

04:04:27 <Kirjava> doing double slices instead of single

04:04:39 <Kirjava> and changing M orientation

Sune; RUR'URU2R'

lol COLL.

URUF; rUR'URU2r'

Simply conjugating an algorithm by M' can influence EO.

ULUR; UM2U' rUR'URU2 R'M'

Forcing one of the easy 4flip cases with the above trick and cancelling the M2 at the start of the EO case with the end of the alg produces the easy 3 move EO case.

UFUB; M RUR'URU2R' M'

Same as before, shorter setup. (cancels from M2 rUR'... to M conj)

UBUR; UM2U' rUR'URU2r'

Solving straight to the 3 move EO case.

UFUL; M RUR'URU2R' M'

This is the same alg as the UF/UB flip case, but achieves 3 move EO differently.

ULUB; M RUR'URU2R' UM'

This time you can cancel the above case into the EO to have it fully solved.

UBURUFUL; M' rUR'URU2R' M2

Conjugate by M2 to flip UR/DB for 3 move EO.

6flip; rUR'URU2R' M'

Cancel a FatSune into M2 4flip EO.

---

Of course, this is just the beginning. I introduced the main concepts, but there's much more to discover. For example, on E6/fruruf - try doing f instead of F and watch the magic unfold. Some cases aren't as flexible as this and may require alg generation, but you can at least apply this technique to

**every**Sune/Niklas/fruruf - based case.04:04:21 <Kirjava> it's all about

04:04:27 <Kirjava> doing double slices instead of single

04:04:39 <Kirjava> and changing M orientation

(Since I wrote the intuitive guide I decided to split CMLL and KCLL discussion, which is why this thread now exists)

Last edited: May 17, 2010

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