Parity (UFR with a target, UF with UR)
Common
Since the 2010s
Every case cross-checked
The last corner target swapped with the buffer, and UF swapped with UR: 21 cases.
UFR with a target, UF with UR
Parity A
r2 D' r2 U' r2 D r2 D' r2 D r2 U' r2 U r2
15 HTM · 4 algs
Parity B
R U R' F' R U R' U' R' F R2 U' R' U'
14 HTM · 3 algs
Parity D
U L' U' L F L' U' L U L F' L2 U L
14 HTM · 4 algs
Parity E
U R' U' R U R' F' R U R' U' R' F R2 U2
15 HTM · 4 algs
Parity F
U2 R' U R U2 R' L' U R U' L
11 HTM · 4 algs
Parity G
U D R U' R U R' F' R U R' U' R' F R2 U' R2 U' D'
19 HTM · 4 algs
Parity H
R U D' R' F' R U R' U' R' F R2 U' R' U' R D R'
18 HTM · 4 algs
Parity I
r B' U2 R2 F R F' R U2 r' U r B r'
14 HTM · 4 algs
Parity K
U R U' R U R' F' R U R' U' R' F R2 U' R2 U'
17 HTM · 2 algs
Parity L
U2 D R' F R2 U' R' U' R U R' F' R U R' U D'
17 HTM · 4 algs
Parity N
U R' U R U' x' U L' U L U2 R U' R' U x
14 HTM · 4 algs
Parity O
R U D R' F' R U R' U' R' F R2 U' R' U' R D' R'
18 HTM · 4 algs
Parity P
U2 R' F R2 U' R' U' R U R' F' R U R' U
15 HTM · 2 algs
Parity Q
U R U' R' U2 R L U' R' U L' U
12 HTM · 4 algs
Parity R
U' L' U2 R U' R' U2 R L U' R' U2
12 HTM · 4 algs
Parity S
U' R' D' R U R' U' D R D' R D R' U R' D' R D R
19 HTM · 4 algs
Parity T
U2 D' R' F R2 U' R' U' R U R' F' R U R' U D
17 HTM · 3 algs
Parity U
U' x U2 R2 F R F' R U2 r' U L U
12 HTM · 4 algs
Parity V
U D R2 U' R2 U R2 D' R2 U R2 U' R2 U2
14 HTM · 4 algs
Parity W
U R2 U' R U R' F' R U R' U' R' F R2 U' R U'
17 HTM · 4 algs
Parity X
U' D r2 D' r2 U r2 U' r2 U r2 D' r2
13 HTM · 4 algs
Source: BLDDB (Zixing Wang), https://github.com/nbwzx/blddb/blob/v2/public/data/parityManmade.json, retrieved 2026-10-29: every algorithm the engine finds solving one of this set's cases, whatever buffer or letters the source files it under; BLDDB's ranked by how many of the solvers whose sheets it collects list each. Every algorithm shown was checked by the logic engine; rejected ones are listed in docs/db-exclusions.md.