Case 1
Optimum 8 moves
13 algorithms
First algorithm: (U') x U' R' y U2 R y' R' U' R2 U
The three D corners at DBL, DBR and DFL form a solved V. The fourth D corner is in U; its D sticker faces U. A U corner occupies DFR with its U sticker facing F. The other U corners are free. Solve the last slot and top layer with D toward U and U toward F.
54 cases · 626 algorithms
Proven optimum for every case.
Definition of the set: Speedsolving wiki (1LLS), public sheet.
Optimum 8 moves
13 algorithms
First algorithm: (U') x U' R' y U2 R y' R' U' R2 U
Optimum 6 moves
9 algorithms
First algorithm: y2 L B L B' x B L'
Optimum 8 moves
10 algorithms
First algorithm: R2 y' R U2 x' R' U R2 U R
Optimum 9 moves
16 algorithms
First algorithm: R U2 R' U R2 y' R' U' R y R'
Optimum 8 moves
11 algorithms
First algorithm: y L2 U2 L' y L U L' y' U L'
Optimum 9 moves
11 algorithms
First algorithm: (U2) R U' x U2 R U2 R' y U R' U
Optimum 7 moves
11 algorithms
First algorithm: (U2) R U' x U2 R U2 R' U2
Optimum 9 moves
12 algorithms
First algorithm: (U') R' U2 R y' U2 R' U' R y U R
Optimum 8 moves
8 algorithms
First algorithm: (U') y' R' U2 R y R' U2 R U2 R
Optimum 7 moves
11 algorithms
First algorithm: (U2) x U2 B' U2 B' U B2 U2
Optimum 8 moves
9 algorithms
First algorithm: (U') x R' U' R y U' R U R2 U2
Optimum 8 moves
10 algorithms
First algorithm: x R' U' R y U2 R' U R' U2
Optimum 9 moves
13 algorithms
First algorithm: (U) R' U2 R U2 R y' U2 R' U R
Optimum 7 moves
11 algorithms
First algorithm: (U') x U B' U2 B U2 B U'
Optimum 8 moves
13 algorithms
First algorithm: (U') x U2 R' U2 R y R' y' R' U R
Optimum 9 moves
12 algorithms
First algorithm: R y' R' U' R U2 x' R U R' U
Optimum 8 moves
9 algorithms
First algorithm: (U) x R' U' R y R' y' U R' U2 R
Optimum 9 moves
13 algorithms
First algorithm: (U') R U2 R U' R' y' R' U2 R y R
Optimum 8 moves
13 algorithms
First algorithm: (U) x U2 R' U2 R' y U R U' x U2
Optimum 7 moves
13 algorithms
First algorithm: (U) R' U' R U' R U2 R
Optimum 8 moves
14 algorithms
First algorithm: R2 U2 R' U2 R2 y' R' U R
Optimum 8 moves
12 algorithms
First algorithm: (U2) R y' U R U2 R U2 R' y R
Optimum 8 moves
11 algorithms
First algorithm: (U2) R' U2 x R2 U2 R' y U' R U'
Optimum 8 moves
11 algorithms
First algorithm: (U2) R U R' y' R U2 R' U2 R'
Optimum 9 moves
15 algorithms
First algorithm: (U2) R' y' U R' U' R y U R U' R
Optimum 7 moves
14 algorithms
First algorithm: (U) y L U' x U' L' U x' U2 L'
Optimum 9 moves
15 algorithms
First algorithm: (U2) y' R' U R' y R U2 x U2 R U2 R'
Optimum 7 moves
12 algorithms
First algorithm: (U) R U2 R' U' R U R'
Optimum 8 moves
11 algorithms
First algorithm: R' U' R y' R' U x' R2 U R'
Optimum 7 moves
10 algorithms
First algorithm: (U') y L y L U L' y' L U' L'
Optimum 6 moves
10 algorithms
First algorithm: (U2) R U R' y' R' U' R
Optimum 9 moves
12 algorithms
First algorithm: (U2) x U B' U B' U2 B' y' B' U B
Optimum 5 moves
10 algorithms
First algorithm: (U') y' R' F R' F' R2
Optimum 6 moves
8 algorithms
First algorithm: y2 B L B' x L B L2
Optimum 7 moves
10 algorithms
First algorithm: (U') x U2 B' y' U B' U B U2
Optimum 9 moves
15 algorithms
First algorithm: y2 L U B U' L B' L' U B'
Optimum 8 moves
10 algorithms
First algorithm: (U2) R U x R2 U' R y U' R' U2
Optimum 8 moves
12 algorithms
First algorithm: (U2) y L' U L U2 x U' L U L'
Optimum 7 moves
12 algorithms
First algorithm: (U) y2 L' B L B' x L B' L'
Optimum 8 moves
14 algorithms
First algorithm: (U') x U R y R U R' U' R y' R'
Optimum 6 moves
9 algorithms
First algorithm: R U2 x R2 U R U'
Optimum 9 moves
13 algorithms
First algorithm: (U) R' U2 R U' R U x U R' U'
Optimum 7 moves
10 algorithms
First algorithm: (U') y' R' U R y U' R U' R'
Optimum 8 moves
15 algorithms
First algorithm: (U) x U' B' y' B U2 B U2 B' U
Optimum 8 moves
12 algorithms
First algorithm: (U) x U R' U' R2 y U' R U x U2
Optimum 7 moves
9 algorithms
First algorithm: x U R' U2 R y U' R' U2
Optimum 7 moves
10 algorithms
First algorithm: R U' x U R U' x' U R'
Optimum 5 moves
8 algorithms
First algorithm: (U2) R' U2 R U2 R
Optimum 8 moves
11 algorithms
First algorithm: (U2) x R U' R y U' R' U2 x R2 U2
Optimum 7 moves
13 algorithms
First algorithm: x U2 R' U2 R y U R U'
Optimum 7 moves
13 algorithms
First algorithm: (U') x U' R U2 R U2 R' U
Optimum 8 moves
10 algorithms
First algorithm: (U) y' R' U R y R' U2 R U2 R
Optimum 9 moves
14 algorithms
First algorithm: (U2) x U2 R U' R U R' U R' U2
Optimum 7 moves
13 algorithms
First algorithm: (U) y L U' L U' L' U L'
No case matches these filters.