Case 1
Optimum 8 moves
10 algorithms
First algorithm: (U) R2 U2 R' y' R' U' R y U' R
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 R. The other U corners are free. Solve the last slot and top layer with D toward U and U toward R.
54 cases · 596 algorithms
Proven optimum for every case.
Definition of the set: Speedsolving wiki (1LLS), public sheet.
Optimum 8 moves
10 algorithms
First algorithm: (U) R2 U2 R' y' R' U' R y U' R
Optimum 9 moves
13 algorithms
First algorithm: (U2) y L' U x U2 L' U2 L y' U' L U'
Optimum 7 moves
10 algorithms
First algorithm: y L' U x U2 L' U2 L U2
Optimum 9 moves
11 algorithms
First algorithm: (U) R' y' R' U' R y R' U R2 U R'
Optimum 8 moves
9 algorithms
First algorithm: (U') x R U R2 y R' y' U R U2 R'
Optimum 6 moves
7 algorithms
First algorithm: (U) x U' R' U' R y R' U
Optimum 8 moves
8 algorithms
First algorithm: (U') y' R2 y R' U2 x R U' R2 U' R'
Optimum 9 moves
12 algorithms
First algorithm: x U2 R' U2 R y U' R U2 R U'
Optimum 8 moves
8 algorithms
First algorithm: (U2) R U2 R' y' R U2 R' U2 R'
Optimum 7 moves
10 algorithms
First algorithm: (U) R2 U R2 U R U2 R2
Optimum 8 moves
11 algorithms
First algorithm: (U) R2 U' R U2 x R2 U R' U'
Optimum 9 moves
12 algorithms
First algorithm: x U R' U2 R y U' R U R2 U2
Optimum 8 moves
11 algorithms
First algorithm: (U) y L' U' x L2 U L' y' U L U2
Optimum 8 moves
11 algorithms
First algorithm: (U') R U' R' U2 x U R' U' R
Optimum 8 moves
12 algorithms
First algorithm: (U) x U2 R B R2 U' R B' U
Optimum 7 moves
12 algorithms
First algorithm: (U) y L' U2 L U' L' U L
Optimum 8 moves
12 algorithms
First algorithm: (U2) x R2 U R2 y U' R y' U R' U'
Optimum 8 moves
9 algorithms
First algorithm: (U) x R' U R U' x' U2 R U' R'
Optimum 9 moves
13 algorithms
First algorithm: (U') y L U2 L' U L' U' x U' L U
Optimum 6 moves
11 algorithms
First algorithm: (U) x U' B2 y' U2 B' U' B
Optimum 8 moves
11 algorithms
First algorithm: (U) y' R2 U2 R' U2 R2 y R U' R'
Optimum 8 moves
11 algorithms
First algorithm: x U R U' x' R U' R U2 R2
Optimum 8 moves
13 algorithms
First algorithm: (U') y2 L' B' x B' L' B L B' x' B
Optimum 7 moves
11 algorithms
First algorithm: (U2) x U R' U' R y U' R U
Optimum 9 moves
13 algorithms
First algorithm: (U2) y L y U' L U L' y' U' L' U L'
Optimum 7 moves
11 algorithms
First algorithm: (U) R' U x U R U' x' U2 R
Optimum 7 moves
13 algorithms
First algorithm: (U2) y L' U2 L U L' U' L
Optimum 9 moves
13 algorithms
First algorithm: (U) R U' R y' R' U2 x' U2 R' U2 R
Optimum 7 moves
13 algorithms
First algorithm: (U2) R' y' R' U' R y R' U R
Optimum 8 moves
12 algorithms
First algorithm: (U) y' R U R' y R U' x R2 U' R
Optimum 8 moves
11 algorithms
First algorithm: x R' U R U2 R y R' y' R' U2
Optimum 7 moves
8 algorithms
First algorithm: (U) y2 L' B L2 B' x L B L2
Optimum 7 moves
11 algorithms
First algorithm: (U') x U' B y' B' U' B y B' U
Optimum 5 moves
9 algorithms
First algorithm: (U) y L U2 L' U2 L'
Optimum 7 moves
10 algorithms
First algorithm: (U') R U' R' y' U R' U R
Optimum 8 moves
15 algorithms
First algorithm: x R' U' R y U R' U2 R' U2
Optimum 9 moves
12 algorithms
First algorithm: y' R U2 R' U2 R' y U2 R U' R'
Optimum 7 moves
14 algorithms
First algorithm: R' U R2 U' R2 U' R
Optimum 8 moves
12 algorithms
First algorithm: y' R' U' R y R' U2 R U2 R
Optimum 8 moves
10 algorithms
First algorithm: (U) y L U2 x L2 U2 L y' U L' U
Optimum 9 moves
11 algorithms
First algorithm: (U2) x R' U2 R y R U R' U2 R' U2
Optimum 8 moves
10 algorithms
First algorithm: x U R y U' R y' R' U R2 U'
Optimum 6 moves
9 algorithms
First algorithm: (U') x R' U' R y U' R' U2
Optimum 5 moves
8 algorithms
First algorithm: x' R U' R U R2
Optimum 9 moves
12 algorithms
First algorithm: x R U' R U2 R' U R' y R' U2
Optimum 7 moves
8 algorithms
First algorithm: (U2) z' U2 L y U' L U' L' U2
Optimum 9 moves
13 algorithms
First algorithm: R' U R' U R2 U x U R' U'
Optimum 6 moves
10 algorithms
First algorithm: (U2) y' R' U' R y R U R'
Optimum 8 moves
11 algorithms
First algorithm: x U2 B' U R' B U' B' R2
Optimum 7 moves
10 algorithms
First algorithm: (U2) y2 L B' L2 B' L2 B L'
Optimum 7 moves
14 algorithms
First algorithm: (U) x U2 B' y' U' B' U B U2
Optimum 7 moves
11 algorithms
First algorithm: (U2) R' U R' U R U' R
Optimum 8 moves
10 algorithms
First algorithm: (U') R U' R' y' R U2 R' U2 R'
Optimum 9 moves
14 algorithms
First algorithm: (U') y2 L2 B' L B' L' B L' B L2
No case matches these filters.