ELS R5
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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 (8)
R U R' U2 R U' R2 F R F'
My choice
10 HTM · 10 STM · 12 QTM
3-gen
rotationless
<U,R,F>
Cubemuch
R U R' U2 R U' R2 x U R U' x'
10 HTM · 10 STM · 12 QTM
2-gen
rotation
oh
<U,R>
Cubemuch
R U R' U2 R U2 x' U' R U R2
10 HTM · 10 STM · 13 QTM
2-gen
rotation
oh
<U,R>
Cubemuch
R U R' U2 R U' x R2 U R U'
10 HTM · 10 STM · 12 QTM
2-gen
rotation
oh
<U,R>
Cubemuch
(U) first, then:
y2 B' Lw' B U' B' U B Lw U2 B
10 HTM · 10 STM · 11 QTM
3-gen
rotation
<U,L,B>
Do U first (AUF) on the case as drawn. · Cubemuch
R U R' U R y R U2 R' y' U R'
10 HTM · 10 STM · 11 QTM
2-gen
rotation
oh
<U,R>
Cubemuch
(U2) first, then:
Lw y' Lw U' Lw U' Lw U' x Lw U Lw' U
11 HTM · 11 STM · 11 QTM
2-gen
rotation
<U,L>
Do U2 first (AUF) on the case as drawn. · Cubemuch
(U') first, then:
x Rw' U' Rw y2 U Rw U Rw2 y Rw' U
9 HTM · 9 STM · 10 QTM
2-gen
rotation
oh
<U,R>
Do U' 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: x U R' U' x' R2 U R' U2 R U' R'. Every algorithm above was run by our logic engine from that state and reaches "f2l-eo".