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Layer by layer: insert the first-layer corners, orient the top with Sune, then swap the top corners. 6 cases.

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Corner on top, white facing right

First layer · corner above its slot, white sticker on the right

Main

R U R'

Alternatives

U' F' U F
R U R' U'
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Corner on top, white facing front

First layer · corner above its slot, white sticker on the front

Main

F' U' F

Alternatives

U R U' R'
R U R' U' R U R' U' R U R' U' R U R' U' R U R' U'
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Corner on top, white facing up

First layer · corner above its slot, white sticker on top

Main

R U2 R' U' R U R'

Alternatives

F' U2 F U F' U' F
R U R' U' R U R' U' R U R' U'
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Orient the top (Sune)

Orient last layer · repeat with U turns until the top is one colour

Main

R U R' U R U2 R'

Alternatives

U' R' U2 R U R' U R
U L' U2 L U L' U L
U2 L U L' U L U2 L'
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Adjacent corner swap

Permute last layer · headlights on one side

Main

R U R' U' R' F R2 U' R' U' R U R' F'

Alternatives

R U R' F' R U R' U' R' F R2 U' R'
R U2 R' U' R U2 L' U R' U' L
R' F R' B2 R F' R' B2 R2
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Diagonal corner swap

Permute last layer · no headlights

Main

F R U' R' U' R U R' F' R U R' U' R' F R F'

Alternatives

R U' R' U' F2 U' R U R' D R2
R' U R' F2 R F' U R' F2 R F' R
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