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I have the algorithms at least!

L: x' R D2 R U2 R' D2 R U2 R2 x D2
T: D2 x' R2 U2 R' D2 R U2 R' D2 R' x

O: x' z' R' U2 R' D2 R U2 R' D2 R2 z x D2
G: D2 x' z' R2 D2 R U2 R' D2 R U2 R z x

W: x' R D' R U2 R' D R U2 R2 x D2
U: D2 x' R2 U2 R' D' R U2 R' D R' x

Parity (Edges first): [Shoot to C edge] [Solve corners] z2 [Nb Perm] U z2
Parity (Corners first): D2 [Solve edges] [Shoot to C edge] z2 [Nb Perm] U' z2
 
Hi, is there any algorithm to switch the 2 pieces I circled without ruining the cube’s order?

Thanks in advance!
 

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Is there a Jb perm that doesn't change center orientation?
I'm solving a puzzle where centers can be arranged in 4 ways and is currently in the right position. I have a Jb perm as a PLL, but it changes center orientation. I just wanted to know if there's an alg for this or any alternate solutions. Thanks!
 
I noticed that there is no wiki page for single flipped edge parity algorithms on 5x5. I just started solving 5x5 so I'd like to pick one that feels good to me. I've seen at least three different ones so far, one of which didn't have B moves but I forget where I saw that. I'm not interested in learning full last two edges right now but I can't find that parity alg.

Can we collect 5x5 one flipped edge parity algs in this thread?
 
Great idea!

This is the algorithm I use for 5x5 edge parity. It doesn't use B moves, but it does have one x rotation. It's basically the same as the 4x4 OLL parity algorithm. Is it similar/identical to the one you were thinking of?

Rw U2 x Rw U2 Rw U2' Rw' U2 Lw U2 3Rw' U2' Rw U2 Rw' U2' Rw'
I use that one too. I believe it's called Lucas Parity.
 
Interesting, I found the alg that I was thinking of. It looks like a slight variation of that one.

Rw U2 x Rw U2 Rw U2 3Rw' U2 Lw U2 Rw' U2 Rw U2 Rw' U2 Rw'
 
While working on my Last Layer I am orienting and permuting the edges first, then the corners. For the corners I am using U R U’ L’ U R’ U’ L but it feels clunky and slow. I’m looking for a smoother, more intuitive algorithm alternative.
 
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