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 length of the shortest algorithm offered 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 available optimal algorithm comes first, then the others by increasing ease score. When no optimal writing is available, all algorithms are ranked by this score (lower is easier).
"Play" starts from a position of the case and runs the algorithm to the set’s goal. Usually, the starting position is obtained by running the algorithm backwards from the solved puzzle. For a partial goal, the player may start from a representative position of the case in the application; the puzzle is not necessarily fully solved at the end.

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'