# Conjugated CxLL

 Conjugated CxLL Information Proposer(s): James Straughan, Joseph Briggs Proposed: 2012 by James Straughan and 2017 by Joseph Briggs Alt Names: (CxLL) Transformation, L5C reduction, Briggs Last Corners, BLC, BT-Redux, BTR Variants: Transformation, L5C, L5CO, CxLL Subgroup: No. Algs: 42 Avg Moves: Purpose(s): Speedsolving

Conjugated CxLL is a way to solve the last five corners (L5C) using only 42 CxLL algorithms by conjugating them with an R move. (The used CxLL depends on the method.) It is a subset of Transformation.

It was invented independently by both James Straughan for his A2 method based on the development of a CLL transformation table[1] where Conjugated CLL is used and by Joseph Briggs for his 42 method based on Roux where Conjugated CMLL is used.

## Steps

1. When only five corners remain (four on U and one in DFR), orient one of them and place it at UBR.
2. Perform an R move to bring all of the other four corners to the U layer.
3. Recognize the case and perform the correct CxLL algorithm.
1. Recognition works by associating multiple cases with one CxLL algorithm (see the last three links in #External links)
2. The used CxLL subset is dependant on the method. For example in 42, where edges in U and M do not need to be preserved, CMLL is used. However in Zipper where the F2L-1 cube state needs to be preserved, 3x3 CLL may be used.
4. AUF so that the corners are an R' away from being solved and then perform the R'.

## Comparison with L5C

• The amount of algorithms is reduced from 614 to only 42