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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).
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Algorithms (12)
F' B' U' R' U R B F
My choice
8 HTM · 8 STM · 8 QTM
rotationless
<U,R,F,B>
Cubemuch
R' D' R U R' D F R F'
9 HTM · 9 STM · 9 QTM
rotationless
<U,R,F,D>
Cubemuch
(U') first, then:
y' B Rw U B' U' Rw' U2 B'
8 HTM · 8 STM · 9 QTM
3-gen
rotation
<U,R,B>
Do U' first (AUF) on the case as drawn. · Cubemuch
(U2) first, then:
y' B U' Rw U B U' B' Rw' B'
9 HTM · 9 STM · 9 QTM
3-gen
rotation
<U,R,B>
Do U2 first (AUF) on the case as drawn. · Cubemuch
y F R U2 R' U' R U2 R' F'
9 HTM · 9 STM · 11 QTM
3-gen
rotation
<U,R,F>
Cubemuch
y' R' U R y R U' R' U' R U R'
10 HTM · 10 STM · 10 QTM
2-gen
rotation
oh
<U,R>
Cubemuch
(U') first, then:
x U' Lw U Lw' y2 U' Lw' U' Lw U2
9 HTM · 9 STM · 10 QTM
2-gen
rotation
<U,L>
Do U' first (AUF) on the case as drawn. · Cubemuch
R y R U2 R' U' R U2 R' y' R'
9 HTM · 9 STM · 11 QTM
2-gen
rotation
oh
<U,R>
Cubemuch
(U2) first, then:
R2 y R U R' y' U' R' U' R'
8 HTM · 8 STM · 9 QTM
2-gen
rotation
oh
<U,R>
Do U2 first (AUF) on the case as drawn. · Cubemuch
x U B y' U' B' U2 B y U' B' U'
9 HTM · 9 STM · 10 QTM
2-gen
rotation
<U,B>
Cubemuch
(U') first, then:
Lw y2 U Lw U2 x' Lw' y' U2 Lw' U'
8 HTM · 8 STM · 10 QTM
2-gen
rotation
<U,L>
Do U' first (AUF) on the case as drawn. · Cubemuch
y2 B' y2 B' y' U' B' U B y' B y2 B
8 HTM · 8 STM · 8 QTM
2-gen
rotation
<U,B>
Cubemuch
How this case is verified
The case is the source's setup (or, where it has none, another source algorithm reversed). Setup: F R' F' D' R U' R' D R. Every algorithm above was run by our logic engine from that state and reaches "f2l-eo".