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Find the pair's shape as for F2L, then count the misoriented last-layer edges (a top edge whose top facet does not show the top colour).
Your status
Algorithms (15)
R U2 Rw' U R U' R' U' M'
My choice
10 HTM · 9 STM · 11 QTM
3-gen
rotationless
oh
<U,R,M>
Cubemuch
Rw U2 R' U R U' R' U R Rw'
10 HTM · 10 STM · 11 QTM
2-gen
rotationless
oh
<U,R>
Cubemuch
R U' R' F' U2 F R U2 R'
9 HTM · 9 STM · 11 QTM
3-gen
rotationless
<U,R,F>
Cubemuch
y' B' Lw U B Lw' U Lw B' Lw'
9 HTM · 9 STM · 9 QTM
3-gen
rotation
<U,L,B>
Cubemuch
(U2) first, then:
Rw B' U' Rw U B2 U' B' Rw2
9 HTM · 9 STM · 11 QTM
3-gen
rotationless
<U,R,B>
Do U2 first (AUF) on the case as drawn. · Cubemuch
R' F R F' R U' R' U2 R U' R'
11 HTM · 11 STM · 12 QTM
3-gen
rotationless
<U,R,F>
Cubemuch
(U') first, then:
F' U R U R' U' R' F R2 U R'
11 HTM · 11 STM · 12 QTM
3-gen
rotationless
<U,R,F>
Do U' first (AUF) on the case as drawn. · Cubemuch
y' R' U' R U R' U' R y R U R'
10 HTM · 10 STM · 10 QTM
2-gen
rotation
oh
<U,R>
Cubemuch
(U) first, then:
y' R' U R U' R' U' R y R U R'
10 HTM · 10 STM · 10 QTM
2-gen
rotation
oh
<U,R>
Do U first (AUF) on the case as drawn. · Cubemuch
R U' R' y' R' U2 R y R U2 R'
9 HTM · 9 STM · 11 QTM
2-gen
rotation
oh
<U,R>
Cubemuch
(U2) first, then:
y' R' U' R U R' U2 R y R U R'
10 HTM · 10 STM · 11 QTM
2-gen
rotation
oh
<U,R>
Do U2 first (AUF) on the case as drawn. · Cubemuch
y' R' U R U' R' U R y R U2 R'
10 HTM · 10 STM · 11 QTM
2-gen
rotation
oh
<U,R>
Cubemuch
y' R' U R U2 R' U2 R y R U R'
10 HTM · 10 STM · 12 QTM
2-gen
rotation
oh
<U,R>
Cubemuch
y L' y' L' U2 L y L U L' U' L
9 HTM · 9 STM · 10 QTM
2-gen
rotation
<U,L>
Cubemuch
(U2) first, then:
L' y' L U2 x' U2 L U2 x U2 L' y L
9 HTM · 9 STM · 13 QTM
2-gen
rotation
<U,L>
Do U2 first (AUF) on the case as drawn. · Cubemuch
How this case is verified
The case is the source's setup (or, where it has none, another source algorithm reversed). Setup: Rw R' U' R U R' U' R U2 Rw'. Every algorithm above was run by our logic engine from that state and reaches "f2l-eo".