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This method consists of solving the middle layer, followed by orienting and permuting the top and bottom layers with simple cuboid algorithms. There is parity in this method.

Algs:

Corner Swap: R2 U R2 U' R2 U' D R2 U R2 U' R2

Corner Drop: R2 U R2 U' R2

Edge Drop: R2

Adjacent Edge Swap: R2 U R2 U R2 U2 R2 U2 R2 U R2 U' R2

Across Edge Swap: R2 U2 R2 U2 R2 U2

Parity #1 (Middle Layer Flip): R2 U2 F2 R2 F2 U2 R2

Parity #2 (1 Rotated corner On Each Side): U R2 U R2 U' R2 y R U2 R' U' R' U' R' L' U2 L U L' U L

Edge Orientation:

"T" (Same as 4x4 parity): R2 U R2

"I": R2 U R2 F (R U R' U') F'

all others are same (dot, L, line)

Corner Orientation:

(Same as 4LLL)

Pi but 1 corner is flipped wrong: R U2 R' U' R' U' R' L' U2 L U L' U L y' (Anti-Sune): this will lead you to parity #2

Weird Anti-Sune: (Anti-Sune): this will lead you to parity #2