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PLL with parity

The top face is done but its edge permutation has the opposite parity to the corners' (PLL parity); one algorithm solves the whole cube. 22 cases.

22 cases · 449 algorithms

No proven optimum for this set: the page gives the shortest known length and a lower bound.

Definition of the set: Speedsolving wiki (4x4x4 parity algorithms), Speedsolving wiki (Parity PLL), SpeedCubeDB, J Perm, Lars Vandenbergh's archive.

How to read this page
  • Each case is seen from above: the top face in the middle, the top layer's stickers on its sides, the front face at the bottom.
  • Colours of the puzzle in the application. Grey marks what the case does not look at.
  • Lengths: each move counts 1, an inner slice 2, a rotation 0. The "setup" presents the puzzle as drawn and does not count.
  • In each case, the best optimal algorithm comes first, then the others from the easiest to the hardest to execute (ease score, lower is easier).
  • "Play" starts from the case (the inverse of the algorithm applied to the solved cube) and runs the algorithm on the 3D cube.

Pb

At least 7 moves

9 algorithms

First algorithm: (U') y R' U L' U2 R U' 3Rw Rw2 U2 Rw2 Uw2 2R2 Uw2 x'

Pa

At least 7 moves

9 algorithms

First algorithm: (U) y R U' L U2 R' U 3Rw' Rw2 U2 Rw2 Uw2 2R2 Uw2 x

Adj-C

At least 7 moves

32 algorithms

First algorithm: (U2) R U' 3Lw U2 L' B L U2 3Lw2 B Lw2 F2 U2 2L2 U2 F2 Lw2 x'

Adj-E

At least 7 moves

39 algorithms

First algorithm: (U2) R2 D' x Uw2 Rw2 U2 2R2 U2 Rw2 Uw2 x' D R2

Pure-E

At least 7 moves

42 algorithms

First algorithm: (U) Uw2 Rw2 U2 2R2 U2 Rw2 Uw2

Da

At least 7 moves

9 algorithms

First algorithm: (U) z' U2 Lw2 L U2 L F2 Lw2 L F2 L' U2 Lw2 F2 U2 z U'

Kb

At least 7 moves

14 algorithms

First algorithm: (U) Lw2 3Dw R2 U' L2 U R2 3Dw 2R2 U2 F2 Rw2

Sa

At least 7 moves

9 algorithms

First algorithm: (U') y' z U2 R' U2 Rw2 B2 R U2 Rw2 R' U2 R2 B2 Rw2 R U2 z'

Diag-C

At least 7 moves

35 algorithms

First algorithm: (U) Rw2 2F2 U2 Fw2 D Rw2 U2 Fw2 U' Fw2 L2 U2 B2 Lw2 U

Bb

At least 7 moves

8 algorithms

First algorithm: (U) U z' U2 F2 Lw2 U2 L F2 Lw2 L' F2 L' U2 Lw2 L' U2 z

M

At least 7 moves

11 algorithms

First algorithm: (U) L2 Uw2 L2 U L2 3Uw L2 F2 U z 2L2 F2 L' U2 Lw2 z' U y

Db

At least 7 moves

10 algorithms

First algorithm: (U) z' U2 Lw2 L' U2 L' B2 Lw2 L' B2 L U2 Lw2 B2 U2 z U

W

At least 7 moves

26 algorithms

First algorithm: R2 Uw2 B2 R2 Uw2 B2 R2 U R2 B2 R2 U B2 Uw2

Ka

At least 7 moves

14 algorithms

First algorithm: (U) Lw2 3Dw' R2 U L2 U' R2 3Dw' 2R2 U2 B2 Rw2

Sb

At least 7 moves

9 algorithms

First algorithm: y' z U2 R U2 Rw2 F2 R' U2 Rw2 R U2 R2 F2 Rw2 R' U2 z'

Ca

At least 7 moves

9 algorithms

First algorithm: (U) F2 U Rw2 U' B2 U' F2 U B2 U' 2R2 F2 U2 Rw2 U' F2 U'

Ba

At least 7 moves

8 algorithms

First algorithm: (U) U' z' U2 B2 Lw2 U2 L' B2 Lw2 L B2 L U2 Lw2 L U2 z

O-

At least 7 moves

61 algorithms

First algorithm: 2R2 Uw2 2B2 U' 2B2 2R2 U 2B2 2R2 Uw2 2R2

Q

At least 7 moves

13 algorithms

First algorithm: R2 U B2 Uw2 R2 U' B2 Uw2 U B2 U2 R2 Uw2 U' R2 U'

Cb

At least 7 moves

9 algorithms

First algorithm: (U) U F2 U Rw2 U2 F2 2R2 U B2 U' F2 U B2 U Rw2 U' F2

O+

At least 7 moves

62 algorithms

First algorithm: 2R2 Uw2 2R2 2B2 U' 2R2 2B2 U 2B2 Uw2 2R2

X

At least 7 moves

11 algorithms

First algorithm: Uw2 Lw2 U' B' U B U2 F U' F' U F' L2 F Lw2 U2 Lw2 Uw2 U'

Algorithms