Edge last slot (ELS, MGLS step one)

Niche

Since the 2000s

Place the last slot's edge and orient every edge, the corner left free: 21 cases.

One-handed picks

3 HTM · 15 algs

3 HTM · 13 algs

(U) R U R' y' R' U R

6 HTM · 11 algs

(U2) R U' x' U' R U R2

6 HTM · 13 algs

(U2) y2 Rw' U2 R U R' U Rw

7 HTM · 77 algs

(U2) Rw U' Rw' U' Rw U Rw'

7 HTM · 24 algs

(U2) R U x' R U' R' U R'

7 HTM · 4 algs

R U R' U' x R' U R U'

8 HTM · 29 algs

(U') x R' U R y U2 R' U

6 HTM · 23 algs

(U') R U2 x' U' R U R2

6 HTM · 33 algs

Rw U2 Rw' U2 Rw U' Rw' U2 Rw U2 Rw'

11 HTM · 24 algs

(U) R U x R2 U R U'

6 HTM · 27 algs

(U2) Rw U' Rw' U Rw U Rw'

7 HTM · 21 algs

(U2) R U' R' y' R' U2 R

6 HTM · 26 algs

R U' R' U' x R' U R U'

8 HTM · 33 algs

(U2) x U' Rw' U2 Rw y2 U Rw U' Rw'

8 HTM · 23 algs

(U2) R y R U' x R2 U R U2

7 HTM · 31 algs

R U x' U' R U R2

(U2) Rw U' Rw' U2 Rw U Rw'

7 HTM · 17 algs

(U') x U' Rw' U2 Rw y2 U Rw U2 Rw'

8 HTM · 46 algs

(U2) Rw U' R' U' R Rw' U2 Rw U Rw'

10 HTM · 28 algs

Source: Cubemuch, https://cubemuch.com/en/algs/3x3/els/, retrieved 2026-10-29: case names and groups, and each case's algorithms: those credited to the community sheets it cites first, in its order, then those its search found, best-scored first (no votes or setups). Every algorithm shown was checked by the logic engine; rejected ones are listed in docs/db-exclusions.md.