Can someone please help me find a move optimal or speed optimal way to solve the following cases? Ok, so if I have pre-oriented edges and a 2x2x3 block on the left side and my corners are not correctly permuted. How would you fix the corner permutation parity while preserving the block and EO (the edge permutation, corner permutation and corner orientation does not matter) for the following cases.

1. adjacent on top

2. Opposite on top

3. adjacent on top and adjacent in the bottom

4. Opposite on top and adjacent in the bottom

For example I managed to get #1 to work by using F'U'FRBU'B', but I am still very confused by the last 2. I guess a computer could generate some algorithms, but I don't know how.

This would reduce a ZZ type solve into the 2gen state and allow for a smoother transition from f2l to 2gll than CPLS, and may be faster. With a good recognition system, this could be helpful for ZZ or Petrus (you may be able do EO and corner parity in the same step?), and OH since 2gll would be fast for the last layer.

Thank you for the help and tell me what you think about the method idea.

Also, this is my first thread so if it is in the wrong place, please let me know and i will fix it.

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