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LS Algorithms

Every algorithm for all 486 LS cases, ranked by the alg sources that match real solves.

What makes this database different

Consensus scores every alg site and sheet against what top solvers were actually reconstructed doing, then adds up what those resources recommend for this case. A resource whose picks match real usage counts for several times more than one whose picks don't, and each resource's own top pick counts more than its alternates. So the order here is fed by pro solves, one step removed. How it works.

Alg lists repeat themselves: the same turns show up reordered, behind a different alignment, or just spelled a different way - a slice M written as r' R, a wide l written as x'R. Those all move the cube through exactly the same states, so we fold them into one row and add up their votes.

LS-1 AS1 perm, written 2 ways
R U2 R'Uy'R' U2 R
0
R U2 R'U F' U2 F
+ 0
R U2 R'Uy'R' U2 R×2
= 0

Mirrors are the exception: a left-handed version keeps its own row, because doing an algorithm on the other side is a genuinely different thing to learn.

Read more

Grouping gives an algorithm a shape you can picture instead of a string you have to spell, and it exposes the family resemblances: algorithms built from the same trigger carry the same colour, so the one you already know gives you a head start on the next. The Rightie R U R' U' gets one colour, the sledgehammer R' F R F' another. Hover any box for its name.

R U R' U'
One trigger, whole: the Rightie, four turns read as a single motion.
R U2 R' U' R U' R'
A double to set the hold, then the insertion - one shape, not seven turns.
FRU'R'U'RUR'F'
A long conjugate: set up with F, work, undo - shaded deepest at the turn it set up for.

Cubers have always marked triggers by hand, in parentheses: F (R U R' U') (R U R' U') F'. The boxes are that convention drawn instead of typed, and they are worked out from the moves themselves rather than stored per algorithm - so every algorithm in the database has them, including the ones nobody ever bracketed.

Read more

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LS Overview

most-recommended algorithms for every case

LS-1
51%
U26%
17%
All 4 algs
U248%
U24%
U216%
All 4 algs
U253%
U27%
All 5 algs
U267%
U233%
U256%
U28%
All 4 algs
44%
22%
U'15%
All 5 algs
U'27%
U210%
All 3 algs
U270%
30%
U'59%
25%
U16%
U70%
U30%
U'59%
25%
U'16%
15%
12%
U10%
U233%
U212%
U10%
All 4 algs
83%
U217%
U'83%
17%
U'59%
U'25%
U216%
U100%
55%
U23%
U216%
All 4 algs
U'64%
U227%
All 3 algs
U31%
U'30%
U11%
U'58%
U224%
All 5 algs
U'55%
U'23%
U'16%
All 4 algs
U'75%
U215%
U210%
U239%
U232%
23%
All 4 algs
U241%
U228%
U18%
All 5 algs
U'43%
U42%
U15%
U215%
U12%
U210%
U55%
U18%
16%
All 4 algs
U50%
21%
U214%
All 5 algs
U237%
U236%
U227%
U250%
U221%
U'14%
All 5 algs
U270%
U230%
U100%
U100%
U64%
27%
All 3 algs
15%
U12%
10%
U'64%
27%
All 3 algs
25%
U16%
All 3 algs
U236%
U'20%
U214%
All 4 algs
U283%
U217%
55%
U245%
U'100%
U'83%
U'17%
27%
U210%
All 3 algs
U230%
U11%
23%
U'16%
All 4 algs
U'59%
U'25%
U'16%
U'100%
U259%
U225%
16%
U70%
U214%
All 4 algs
U'83%
U217%
U'38%
U'37%
13%
All 5 algs
U58%
U24%
All 5 algs
U'17%
U13%
LS-2
U41%
U36%
U23%
U270%
30%
U259%
U'25%
U'16%
U'83%
U217%
83%
U'17%
U'53%
16%
15%
All 5 algs
U'29%
U226%
U22%
All 6 algs
64%
27%
All 3 algs
U'37%
U'36%
27%
U'39%
U210%
All 4 algs
U'75%
U'15%
U'10%
25%
16%
All 3 algs
64%
27%
All 3 algs
U70%
U230%
70%
14%
All 4 algs
100%
55%
U'23%
U216%
All 4 algs
U'18%
U212%
All 5 algs
U'64%
U27%
All 3 algs
U55%
23%
16%
All 4 algs
37%
20%
All 5 algs
U'49%
U'25%
All 7 algs
36%
U31%
18%
All 4 algs
U259%
U225%
16%
U'53%
U22%
U215%
All 5 algs
U260%
U210%
U'64%
27%
All 3 algs
60%
21%
U12%
All 4 algs
83%
U'17%
U64%
27%
All 3 algs
U224%
All 5 algs
U'59%
U25%
U216%
U38%
37%
U'13%
All 5 algs
U275%
U215%
10%
58%
24%
All 5 algs
U'70%
U230%
30%
U11%
U25%
10%
All 4 algs
U'23%
U16%
All 4 algs
70%
U'30%
U59%
25%
U16%
55%
U18%
U16%
All 4 algs
75%
U'15%
U'10%
U'55%
U223%
U16%
All 4 algs
U70%
14%
All 4 algs
U245%
U211%
U'100%
U283%
U217%
41%
U36%
23%
U'35%
U25%
U10%
All 4 algs
60%
U'25%
All 4 algs
U'16%
U83%
U17%
U260%
19%
12%
All 4 algs
LS-3
U50%
21%
U14%
All 5 algs
U216%
U70%
U30%
30%
U11%
52%
U22%
U15%
All 4 algs
100%
U'83%
U217%
83%
17%
U17%
U13%
U259%
U225%
U216%
U100%
83%
17%
50%
U21%
U14%
All 5 algs
U225%
16%
All 3 algs
34%
U'21%
16%
All 4 algs
U27%
10%
All 3 algs
U60%
U25%
All 4 algs
83%
17%
U'48%
U12%
U'10%
50%
U21%
U'14%
All 5 algs
64%
27%
All 3 algs
U55%
U'23%
U16%
All 4 algs
70%
14%
All 3 algs
U'75%
U15%
10%
U259%
25%
U'16%
75%
U'15%
U210%
70%
U230%
70%
U30%
U'83%
17%
83%
75%
15%
U10%
U55%
U223%
U'16%
All 4 algs
U70%
30%
U225%
U210%
All 4 algs
U'64%
27%
All 3 algs
U258%
U24%
All 5 algs
U'100%
U'25%
16%
All 3 algs
U'100%
53%
13%
U283%
U'17%
U59%
U'25%
U'16%
U100%
U'58%
U224%
All 5 algs
64%
U'27%
All 3 algs
U'83%
U'17%
48%
U'12%
U'10%
U55%
U23%
U216%
All 4 algs
U64%
U27%
All 3 algs
U259%
U225%
U'16%
70%
U'15%
U'14%
U75%
U215%
U10%
U15%
U12%
U10%
U2100%
LS-4
34%
U232%
U'18%
All 5 algs
30%
U223%
All 3 algs
100%
U83%
U17%
100%
37%
U'27%
U210%
U237%
U227%
10%
U'24%
All 5 algs
U'70%
U230%
25%
10%
All 4 algs
U'30%
U211%
U'22%
15%
U11%
All 4 algs
U'60%
U'25%
All 4 algs
60%
25%
All 4 algs
83%
U217%
70%
U30%
70%
30%
U264%
U227%
All 3 algs
U30%
U11%
U264%
U227%
All 3 algs
U'25%
U210%
All 4 algs
U'48%
U220%
U213%
All 6 algs
U241%
U'23%
U210%
U250%
U'18%
U16%
All 5 algs
U64%
27%
All 3 algs
U25%
U210%
All 4 algs
20%
U13%
10%
All 5 algs
U223%
16%
All 4 algs
100%
U64%
U'27%
All 3 algs
U283%
U'17%
U'83%
U'17%
U215%
U212%
10%
U'70%
U230%
U259%
25%
16%
U'17%
13%
U75%
15%
U10%
U259%
U25%
16%
U'70%
U230%
U227%
U210%
All 3 algs
15%
12%
10%
27%
10%
All 3 algs
U216%
U283%
U'17%
U223%
16%
All 4 algs
75%
U'15%
U210%
U'70%
U230%
U16%
U230%
U211%
27%
10%
All 3 algs
U22%
15%
All 5 algs
U2100%
U220%
U213%
U10%
All 6 algs
U'41%
U36%
23%
LS-5
59%
25%
U'16%
64%
U227%
All 3 algs
100%
U270%
U230%
47%
20%
13%
All 6 algs
52%
22%
15%
All 4 algs
U270%
U30%
U'64%
U23%
U13%
83%
17%
U230%
U'23%
U216%
All 4 algs
U'100%
37%
27%
U210%
U31%
U230%
U223%
All 4 algs
52%
22%
U15%
All 4 algs
100%
U'59%
25%
U216%
U'27%
U'10%
All 3 algs
U'55%
U'23%
16%
All 4 algs
59%
U'25%
U'16%
U2100%
U83%
U17%
U83%
U217%
U64%
U27%
All 3 algs
25%
10%
All 4 algs
U222%
15%
All 5 algs
59%
25%
U216%
U70%
U'30%
U59%
U225%
U16%
U259%
25%
U16%
52%
22%
15%
All 4 algs
U234%
U225%
All 3 algs
U48%
U'20%
U13%
All 5 algs
U25%
U16%
All 3 algs
U30%
U11%
U225%
16%
All 3 algs
U50%
U'21%
U'14%
All 5 algs
U25%
U'16%
All 3 algs
U225%
U216%
All 3 algs
U255%
23%
U216%
All 4 algs
23%
U216%
All 4 algs
U'50%
U221%
14%
All 5 algs
U'30%
U'11%
U255%
23%
16%
All 4 algs
25%
U16%
All 3 algs
55%
U223%
U16%
All 4 algs
59%
U25%
U'16%
64%
U27%
All 3 algs
70%
U'30%
U'22%
U'15%
11%
All 4 algs
U30%
U211%
U22%
15%
U11%
All 4 algs
U'50%
21%
U'14%
All 5 algs
59%
25%
U16%
30%
11%
LS-6
U'22%
U215%
U11%
All 4 algs
U241%
U23%
U10%
21%
14%
U211%
All 5 algs
22%
U15%
11%
All 4 algs
64%
U227%
All 3 algs
U283%
U'17%
U234%
U20%
All 3 algs
U25%
10%
All 3 algs
U17%
U13%
20%
U213%
10%
All 5 algs
23%
16%
All 4 algs
U'22%
U'15%
11%
All 4 algs
U'25%
16%
All 3 algs
U215%
U212%
U259%
25%
U216%
70%
30%
52%
22%
15%
All 4 algs
U255%
U223%
U14%
All 4 algs
U'75%
U215%
U210%
U217%
13%
U'100%
U230%
U11%
U64%
U27%
All 3 algs
U22%
U215%
U11%
All 4 algs
U83%
U17%
53%
22%
15%
All 5 algs
21%
14%
11%
All 5 algs
59%
U25%
16%
22%
15%
U211%
All 4 algs
U20%
U214%
U'11%
All 4 algs
U30%
U11%
70%
30%
58%
18%
U'12%
All 5 algs
38%
U21%
All 3 algs
25%
U'16%
All 3 algs
U'33%
U215%
11%
All 4 algs
U220%
U213%
10%
All 5 algs
U'59%
U225%
U216%
22%
U13%
All 5 algs
60%
25%
All 4 algs
U270%
30%
U25%
U'16%
All 3 algs
55%
U23%
U16%
All 4 algs
U221%
U214%
U211%
All 5 algs
70%
U230%
U252%
22%
15%
All 4 algs
U'83%
U217%
36%
U'31%
U20%
All 4 algs
U222%
15%
11%
All 4 algs
U'70%
U30%
U16%
47%
U220%
12%
All 6 algs
U'20%
U'13%
U'10%
All 6 algs
U24%
All 5 algs
LS-7
47%
U20%
13%
All 6 algs
64%
27%
All 3 algs
15%
12%
U210%
U'83%
17%
27%
U10%
All 3 algs
U220%
U213%
10%
All 6 algs
U'25%
U10%
All 4 algs
U255%
U23%
U16%
All 4 algs
U215%
U212%
U210%
64%
27%
All 3 algs
U270%
U230%
83%
U17%
16%
U75%
U15%
U210%
70%
30%
27%
U'10%
All 3 algs
23%
U216%
All 4 algs
U60%
U25%
All 4 algs
U'59%
U'25%
U216%
U270%
U230%
15%
U'12%
U210%
59%
U225%
U216%
U'100%
U264%
U227%
All 3 algs
U222%
U'15%
All 5 algs
U230%
U11%
U223%
U'16%
All 3 algs
U'27%
U210%
All 3 algs
U'30%
U'11%
U223%
16%
All 4 algs
U217%
U'13%
U37%
U213%
U10%
U2100%
U227%
U10%
All 3 algs
83%
U17%
U'64%
U'27%
All 3 algs
U227%
U210%
All 3 algs
30%
U'11%
U17%
U13%
U230%
11%
U70%
30%
70%
U30%
U230%
U11%
U253%
U213%
U'23%
U'13%
U'10%
U70%
30%
U'27%
10%
All 3 algs
48%
42%
10%
U270%
U30%
59%
U25%
16%
U'30%
U211%
U'70%
U230%
U'60%
U'21%
U212%
All 4 algs
53%
U222%
U'15%
All 5 algs
LS-8
U20%
U'14%
10%
All 6 algs
U2100%
U270%
14%
All 4 algs
21%
U214%
11%
All 5 algs
U222%
15%
U211%
All 4 algs
U'64%
U227%
All 3 algs
U'64%
U'27%
All 3 algs
U234%
30%
U19%
All 4 algs
U'59%
U'25%
U216%
U'41%
U10%
All 3 algs
U225%
U216%
All 3 algs
U270%
U230%
83%
U17%
30%
11%
U216%
U212%
U211%
All 5 algs
16%
U283%
17%
11%
All 5 algs
U230%
U11%
U'25%
U'16%
All 3 algs
U17%
U13%
U'35%
U'34%
U219%
All 4 algs
U239%
U221%
10%
All 4 algs
U'30%
U'11%
U'25%
U16%
All 3 algs
U'30%
U211%
25%
U10%
All 4 algs
U233%
19%
U213%
All 4 algs
U'83%
U217%
30%
U'11%
U'27%
U'10%
All 3 algs
17%
13%
23%
16%
All 4 algs
U100%
U59%
U225%
16%
15%
U212%
U210%
U52%
22%
U215%
All 4 algs
23%
U216%
All 4 algs
53%
U222%
15%
All 5 algs
U'30%
U'11%
17%
13%
U'100%
U'21%
14%
11%
All 5 algs
U248%
U220%
U13%
All 5 algs
U'19%
U213%
All 6 algs
25%
U210%
All 4 algs
U16%
U'100%
50%
U21%
All 10 algs
U'48%
U'20%
13%
All 4 algs
U22%
15%
All 5 algs
U64%
U227%
All 3 algs
U23%
U16%
All 4 algs
U'70%
U30%
LS-9
22%
15%
11%
All 4 algs
U259%
U'25%
U'16%
U25%
U'16%
All 3 algs
U50%
21%
U'14%
All 5 algs
30%
11%
22%
15%
11%
All 4 algs
U'20%
U13%
U210%
All 6 algs
30%
U'11%
55%
15%
59%
U225%
U216%
U16%
U55%
23%
16%
All 4 algs
U27%
10%
All 3 algs
U23%
16%
All 4 algs
30%
U'11%
59%
U225%
16%
U25%
U'10%
U'70%
U230%
U'20%
13%
U210%
All 5 algs
27%
U210%
All 3 algs
16%
30%
U19%
All 4 algs
U223%
U216%
All 4 algs
U59%
U25%
U16%
U'53%
47%
U25%
16%
All 3 algs
20%
U'11%
All 6 algs
23%
16%
All 4 algs
33%
U213%
10%
All 6 algs
U25%
U16%
All 3 algs
U270%
U230%
U17%
U213%
U230%
U'11%
U'53%
22%
15%
All 5 algs
U259%
25%
16%
U25%
U'16%
All 3 algs
100%
64%
27%
All 3 algs
U'27%
10%
U100%
17%
U213%
U100%
U215%
U212%
U10%
16%
U'27%
10%
All 3 algs
U22%
U215%
All 5 algs
16%
U230%
11%
U70%
30%
U225%
16%
All 3 algs
64%
27%
All 3 algs
27%
U10%
All 3 algs
27%
U'10%
All 3 algs
U24%
All 5 algs