Case 1
Optimum 8 moves
13 algorithms
First algorithm: x R U B' U R U2 B' 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 F when held at UFR. 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 F and U toward R.
54 cases · 595 algorithms
Proven optimum for every case.
Definition of the set: Speedsolving wiki (1LLS), public sheet.
Optimum 8 moves
13 algorithms
First algorithm: x R U B' U R U2 B' R'
Optimum 7 moves
8 algorithms
First algorithm: (U') R U' R' y' U R' U' R
Optimum 8 moves
8 algorithms
First algorithm: (U2) y2 L B U2 B L U2 L B
Optimum 7 moves
12 algorithms
First algorithm: (U) R2 U2 R' y' R U2 x' U2 R
Optimum 7 moves
8 algorithms
First algorithm: (U') R2 y' U' R' U2 R y U' R
Optimum 9 moves
14 algorithms
First algorithm: (U) R y' R' U x' R U2 R U' R' U
Optimum 9 moves
15 algorithms
First algorithm: (U) R2 U R U' R2 y' U' R' U R
Optimum 9 moves
14 algorithms
First algorithm: x U R' U' R U2 R y R y' R' U
Optimum 8 moves
13 algorithms
First algorithm: (U2) y2 B' U' L2 B L U' L B
Optimum 8 moves
12 algorithms
First algorithm: (U') R U' x R2 U R y U2 R U
Optimum 7 moves
13 algorithms
First algorithm: y' R' U2 R y U R U R'
Optimum 6 moves
12 algorithms
First algorithm: (U') y L' U2 x U' L U L
Optimum 7 moves
12 algorithms
First algorithm: (U') x R U2 x' U2 R y' R U2 R2
Optimum 8 moves
12 algorithms
First algorithm: (U2) R U x R2 U R y U2 R' U
Optimum 7 moves
10 algorithms
First algorithm: (U) y' R' U R y U R U2 R'
Optimum 7 moves
9 algorithms
First algorithm: (U) y' R' U' R y U' R U' R'
Optimum 9 moves
15 algorithms
First algorithm: (U2) x R' U' R y R U R' U' R2 U'
Optimum 9 moves
14 algorithms
First algorithm: (U) R2 U R U' R2 y' U' R' U' R
Optimum 7 moves
10 algorithms
First algorithm: (U') x U2 R' y R U' R' y' R2 U
Optimum 4 moves
8 algorithms
First algorithm: (U') y2 L' B L B'
Optimum 7 moves
9 algorithms
First algorithm: (U') y' R y U' R U2 R' U' x U2
Optimum 5 moves
11 algorithms
First algorithm: (U') y2 L B L' B' L'
Optimum 9 moves
13 algorithms
First algorithm: (U') R' U2 R' U' R U x U R' U'
Optimum 7 moves
9 algorithms
First algorithm: (U') x R' y R' U' R y' U2 R U'
Optimum 8 moves
11 algorithms
First algorithm: x U B' U B' y' B U2 z U2 B
Optimum 8 moves
10 algorithms
First algorithm: R2 U R' U2 x R' U R' U'
Optimum 8 moves
11 algorithms
First algorithm: x U2 B2 y' U B' U' B y B2 U2
Optimum 7 moves
13 algorithms
First algorithm: (U) y L' U' L U2 L' U' L
Optimum 8 moves
11 algorithms
First algorithm: R2 y' R2 U' R' U x' R' U2 R'
Optimum 7 moves
10 algorithms
First algorithm: (U) x R U2 x' U' R' U x U' R2
Optimum 7 moves
13 algorithms
First algorithm: R U' R' U2 R U' R'
Optimum 8 moves
10 algorithms
First algorithm: (U) y L U2 x U2 L y' L' U L' U
Optimum 8 moves
10 algorithms
First algorithm: (U') R2 U2 x U R' U' x' R U2 R2
Optimum 8 moves
9 algorithms
First algorithm: (U') z' U2 L' U2 x U' L' y' U2 L U'
Optimum 8 moves
12 algorithms
First algorithm: (U2) x R' U2 R U R' U' R U'
Optimum 7 moves
9 algorithms
First algorithm: y2 L' B x L2 B L' B' x' B'
Optimum 7 moves
13 algorithms
First algorithm: (U') y' R' U R y U2 R U R'
Optimum 8 moves
10 algorithms
First algorithm: (U') y2 B U L2 B' U' B' U2 L
Optimum 7 moves
13 algorithms
First algorithm: (U2) y' R y U' R U' R' U2 x U2
Optimum 7 moves
11 algorithms
First algorithm: (U2) R' U' R' y' R' U R y R
Optimum 7 moves
11 algorithms
First algorithm: (U2) R2 y' U2 R' U' R y U' R
Optimum 3 moves
6 algorithms
First algorithm: (U2) R U' R'
Optimum 8 moves
10 algorithms
First algorithm: (U') y2 B' L B' L B L' B L'
Optimum 7 moves
12 algorithms
First algorithm: (U2) x U2 R U' R y R y' R2 U2
Optimum 8 moves
9 algorithms
First algorithm: (U2) R2 U x R U2 R U R' U2
Optimum 9 moves
13 algorithms
First algorithm: (U) x U R2 U' R U R2 y U2 R' U
Optimum 8 moves
10 algorithms
First algorithm: (U2) y2 B U2 L' U' L' B2 U L
Optimum 7 moves
12 algorithms
First algorithm: x U2 x' U' R U' R' U x U2
Optimum 7 moves
11 algorithms
First algorithm: (U) R2 y' R2 U x' R U' R U2
Optimum 8 moves
13 algorithms
First algorithm: (U) x R' U2 R y R y' R' U2 R U'
Optimum 9 moves
11 algorithms
First algorithm: R U' x R2 U2 R U R' U2 R
Optimum 7 moves
9 algorithms
First algorithm: (U2) R U R' y' U' R' U R
Optimum 3 moves
8 algorithms
First algorithm: (U2) y L' U' L
Optimum 7 moves
10 algorithms
First algorithm: R2 y' U R' U' R U' x' U2
No case matches these filters.