The Square-1 "Example Solve" Game

[AndrewT99]

next (-2,0) / (-3,0) / (0,-3) / (3,0) / (-1,-4) / (-5,-2) / (0,-1) / (3,0) / (6,-5) / (-1,0) / (0,-2) / (-3,-4) /

-2,1/-4,0/2,3/-2,-1/-3,0/ -- CSP (5/5)
3,1/-1,2/-2,1/3,6/ -- OBL (4/9)
6,0/0,3/-1,-1/1,-2/-3,0/0,-3/3,3/0,-3/-3,3/-4,6 -- PBL (9/18)

Next: (0,5)/ (0,3)/ (3,-3)/ (-2,-5)/ (3,0)/ (-3,-4)`/` (3,0)/ (-4,-5)/ (-3,0)/ (0,-1)/ (-2,0)

 

[An Animating Cuber]

Next: (0,5)/ (0,3)/ (3,-3)/ (-2,-5)/ (3,0)/ (-3,-4)`/` (3,0)/ (-4,-5)/ (-3,0)/ (0,-1)/ (-2,0)

(4,0)/ (2,0)/ (2,0)/ (-2,6)/ (-3,0)/ (-2,-4)/ (-1,-2)/ (-3,-3)/ // CS
(-2,0)/ (3,6)/ // CO
(-3,-3)/ (3,0)/ (3,0)/ (-1,-1)/ (-2,1)/ (-3,0)/ // EO
(-1,3)/ (3,-3)/ (0,3)/ (-3,0)/ (3,0)/ (-3,0)/ // CP
(1,0)/ (5,-1)/ (-5,1)/ (3,0)/ (5,-1)/ (-5,1)/ (-3,0)/ (0,3)/ (-1,-1)/ (1,-2)/ (-1,-4)/ (1,1)/ (0,3)/ (-1,-1)/ (0,-3)/ (1,1)/ (-1,3)/ (-3,0)/ (0,3)/ (0,-3)/ (0,3)/ (2,0)/ (0,2)/ (-2,0)/ (4,0)/ (0,-2)/ (0,2)/ (-1,4)/ (0,3)/ (0,6)/ (0,6) // EP
Next: (0,2)/ (3,6)/ (4,-5)/ (3,0)/ (5,-1)/ (1,0)/ (-3,-3)/ (3,0)/ (4,-4)/ (4,0)/ (-2,-2)

 

[JackTriton]

Next: (0,2)/ (3,6)/ (4,-5)/ (3,0)/ (5,-1)/ (1,0)/ (-3,-3)/ (3,0)/ (4,-4)/ (4,0)/ (-2,-2)

Solved using Advanced JQ + CSP:

(2,2)/ (-4,0)/ (-1,-2)/ (-3,-3)/ — CSP

(1,6)/ (-1,5)/ (-5,4)/ — SFFB

(0,-3)/ (3,0)/ (-3,0)/ (-4,2)/ — CPSB

(1,1)/ (3,0)/ (-3,0)/ (3,0)/ (-1,-1)/ (-2,1)/ (3,0)/ (2, -1)/ (-5,1)/ (2,-3) — PES + L4PE Skip



Next: (1,-3)/ (5,5)/ (3,0)/ (1,-5)/ (0,-3)/ (-1,0)/ (-3,-3)/ (4,-1)/ (-2,-2)/ (4,0)/ (-2,0)

 

[BenChristman1]

Next: (1,-3)/ (5,5)/ (3,0)/ (1,-5)/ (0,-3)/ (-1,0)/ (-3,-3)/ (4,-1)/ (-2,-2)/ (4,0)/ (-2,0)

Spoiler: method I would actually use cause I'm bad at squan

 Twizzle link 

 Setup 

(1, -3) / (5, 5) / (3, 0) / (1, -5) / (0, -3) / (-1, 0) / (-3, -3) / (4, -1) / (-2, -2) / (4, 0) / (-2, 0)

 Moves 

(4, 2) / (-1, -2) / (3, 3) / // CS
(2, 0) / (-2, -5) / // CO
(0, 3) / (-1, -1) / (4, -5) / (-1, -1) / (0, 1) / (3, 0) / (-3, -3) / (0, 3) / (0, 3) / (3, 0) / (-3, -3) / (0, 3) / (1, 0) / (-1, -1) / // EO
(-3, 4) / (3, 0) / (-3, -3) / (0, 3) / // CP
(-2, 0) / (-1, -1) / (6, 0) / (1, 1) / // parity (technically not)
(2, -3) / (3, 0) / (-3, 0) / (3, 0) / (-3, 0) / (0, -1) / (3, 0) / (-3, 0) / (3, 0) / (3, 0) / (6, 0) / (6, -2) // EP

Spoiler: what a good squaner would do

 Twizzle link 

 Setup 

(1, -3) / (5, 5) / (3, 0) / (1, -5) / (0, -3) / (-1, 0) / (-3, -3) / (4, -1) / (-2, -2) / (4, 0) / (-2, 0)

 Moves 

(4, 2) / (-1, -2) / (3, 3) / // CS
(2, 0) / (-2, -5) / // CO
(3, 3) / (3, 0) / (3, 0) / (-1, -1) / (-3, 0) / (-3, 0) / (0, 1) // EO
(-3, 0) / (-3, 3) / (3, 0) / (0, -3) / (0, 3) / (0, -3) / // CP
(4, 6) / (5, -1) / (-2, 1) / (-1, -1) / (-2, 1) / (-1, 3) // EP

Next: (3,2)/ (3,0)/ (-2,-2)/ (6,-3)/ (3,0)/ (-3,0)/ (2,0)/ (-3,-3)/ (0,-5)/ (-2,-4)/ (0,-2)/ (4,0)

 

[randomcuber14]

0,-2 / -2,0 / -2,4 / -2,0 / 2,1 / 3,3 / // CS
1,0/6,-3/ // CO
3,0/3,0/3,0/-1,-1/-2,1/-4,-1/ // EO
-5,1 / -3,0 / 3,3 / 0,-3 / // CP
-3,0 / -1,-1 / 1,-2 / -1,-1 / 1,-2 / -1,-1 / 0,1 / -3,0 / 0,3 / 0,-3 / 0,3 / 2,0 / 0,2 / -2,0 / 4,0 / 0,-2 / 0,2 / -1,4 / 0,-3 / 6,6 // EP

Spoiler: i am very bad at squan

37 slices w/ beginner scallop kite, and a very inefficient EP

Next: (4,0)/ (-3,-3)/ (0,3)/ (-4,-1)/ (1,0)/ (-3,-3)/ (5,0)/ (-4,-4)/ (0,-2)/ (-2,-2)/ (0,-5)/ (-3,-3)/

 

[AndrewT99]

Next: (4,0)/ (-3,-3)/ (0,3)/ (-4,-1)/ (1,0)/ (-3,-3)/ (5,0)/ (-4,-4)/ (0,-2)/ (-2,-2)/ (0,-5)/ (-3,-3)/

-1,1/3,0/1,-4/-2,2/-2,2/-4,1/0,3/ -- CSP (7/7) bad square/square lol
-3,1/-1,2/-5,1/3,0/ -- OBL (4/11)
3,3/-1,-1/-5,1/-1,-1/1,4/-3,-3/2,-1/-2,1/3,3/2,0 -- PBL (9/20)

Next: (1,0)/ (2,2)/ (6,3)/ (-5,-2)/ (-1,-4)/ (0,-5)`/` (-3,0)/ (4,-1)/ (0,-2)/ (2,0)/ (0,-4)/ (-2,0)

 

[PhanPhuocan]

-1,1/3,0/1,-4/-2,2/-2,2/-4,1/0,3/ -- CSP (7/7) bad square/square lol
-3,1/-1,2/-5,1/3,0/ -- OBL (4/11)
3,3/-1,-1/-5,1/-1,-1/1,4/-3,-3/2,-1/-2,1/3,3/2,0 -- PBL (9/20)

Next: (1,0)/ (2,2)/ (6,3)/ (-5,-2)/ (-1,-4)/ (0,-5)`/` (-3,0)/ (4,-1)/ (0,-2)/ (2,0)/ (0,-4)/ (-2,0)

-1,-2/0,-2/0,2/1,2/0,3/ // CS
0,4/0,3/0,3/ // CO
6,-3/3,0/3,0/-1,-1/-3,0/-3,0/ // EO
3,1/ -3,0 / 3,3 / 0,-3 / // CP
1,0/-1,-1/0,3/1,1/-3,-3/-1,-1/-3,0/1,1/ // PBL
-4,5 / 6,0 / 6,0 / 0,1 //Parity
Next: (-3, -4) / (0, -3) / (-3, 0) / (-5, -2) / (5, -1) / (0, -3) / (-5, 0) / (0, -3) / (-3, 0) / (0, -4) / (0, -2) / (6, 0)

 

[Renslay]

Next: (-3, -4) / (0, -3) / (-3, 0) / (-5, -2) / (5, -1) / (0, -3) / (-5, 0) / (0, -3) / (-3, 0) / (0, -4) / (0, -2) / (6, 0)

I got a new GAN Square-1, and I love it! So let's revive this thread!

I'm using a very unique beginner method I haven't really seen elsewhere. It uses a very minimal amount of algorithms (around 4 non-trivial ones depending on what you count as an algorithm; including a parity alg), but with 4 extra algorithms, I can solve the sq1 in under a minute on average; with a bit of luck under 40 seconds! I'd say it is one of the most efficient methods if you go for "good-solve-times-with-as-few-algs-as-possible" (maybe I should write a tutorial?).

 Twizzle link 

 Setup 

(-3, -4) / (0, -3) / (-3, 0) / (-5, -2) / (5, -1) / (0, -3) / (-5, 0) / (0, -3) / (-3, 0) / (0, -4) / (0, -2) / (6, 0)

 Moves 

/ (2, -4) / (4, 0) / (0, -3) / (0, 4) / (-2, 0) / // all edges in a series
(3, 0) / (2, 4) / (1, 2) / (-3, -3) / // cube
(6, -1) / (3, 0) / (-3, 0) / // solve D corners
(0, -3) / (1, 1) / (6, 0) / (-1, -1) / // solve 2 adjacent D edges
(3, -3) / (0, 3) / (0, 3) / (1, 1) / (-1, -4) / (0, -3) / // orient remaining D edges
/ (3, 3) / (3, 0) / (3, 3) / (3, 0) / (3, 3) / // permute U corners
(4, -2) / (0, 3) / (-1, -1) / (1, -2) / // permute U/D edges
(2, 0) / (3, 3) / (-1, 0) / (2, -4) / (4, -2) / (0, -2) / (-4, 2) / (1, -5) / (3, 0) / (3, 3) / (0, 3) // parity

Next: (-5,0)/ (0,6)/ (-3,0)/ (3,0)/ (0,-3)/ (2,-1)/ (0,-5)/ (3,0)/ (0,-3)/ (-1,-5)/ (-2,-3)/ (-2,0)/ (4,-1)/ (6,0)

 

[Renslay]

Next: (-5,0)/ (0,6)/ (-3,0)/ (3,0)/ (0,-3)/ (2,-1)/ (0,-5)/ (3,0)/ (0,-3)/ (-1,-5)/ (-2,-3)/ (-2,0)/ (4,-1)/ (6,0)

 Twizzle link 

 Setup 

(-5, 0) / (0, 6) / (-3, 0) / (3, 0) / (0, -3) / (2, -1) / (0, -5) / (3, 0) / (0, -3) / (-1, -5) / (-2, -3) / (-2, 0) / (4, -1) / (6, 0)

 Moves 

(1, 4) / (4, 0) / // all edges in a series
(3, 0) / (-4, -2) / (-1, -2) / (-3, -3) / // cube
(-2, 0) / (-3, 3) / (-3, 0) / // solve D corners
(3, 0) / (-1, -1) / (3, -3) / (1, 1) / // solve 2 adjacent D edges
(-4, 2) / (0, 3) / (0, 3) / (1, 1) / (-1, -4) / (0, -3) / // orient remaining D edges
(-3, 1) / (-3, 0) / (3, 0) / (3, -3) / (3, 0) / (-3, 0) / // permute U corners
(1, -3) / (0, 3) / (-1, -1) / (1, -2) /
(3, 0) / (0, 3) / (-1, -1) / (1, -2) /
(6, 0) / (0, 3) / (-1, -1) / (1, -2) / // permute U/D edges
/ (6, 6) / (-1, 3) // fix middle

Same method, fairly easy, no parity.

Next: (0,-4)/ (0,-3)/ (1,4)/ (2,-1)/ (-5,-5)/ (-3,0)/ (-1,0)/ (0,-3)/ (0,-1)/ (4,0)/ (6,0)/ (-3,-4)/ (0,-1)/

 

[Renslay]

Next: (0,-4)/ (0,-3)/ (1,4)/ (2,-1)/ (-5,-5)/ (-3,0)/ (-1,0)/ (0,-3)/ (0,-1)/ (4,0)/ (6,0)/ (-3,-4)/ (0,-1)/

Fairly easy; I improvised bringing it back to cube (I don't know all the cases by heart). No parity, fairly easy with a beginner method.

 Twizzle link 

 Setup 

(0, -4) / (0, -3) / (1, 4) / (2, -1) / (-5, -5) / (-3, 0) / (-1, 0) / (0, -3) / (0, -1) / (4, 0) / (6, 0) / (-3, -4) / (0, -1) /

 Moves 

(0, 6) / (6, 0) / (1, 0) / (3, 6) / (0, 6) / (1, 0) / (-4, 0) / (-1, 0) / (-3, -3) / // intuitive cube
(-3, 5) / (-3, 0) / // bottom corners
(3, 0) / (1, 1) / // adj bottom edges
(-1, -1) / (0, 3) / (0, 3) / (1, 1) / (-1, -4) / (0, -3) / // orient bottom edges
(-3, 1) / (-3, 0) / (3, 0) / (3, -3) / (3, 0) / (-3, 0) / // top corners perm
(-5, -3) / (0, 3) / (-1, -1) / (1, -2) / // perm bottom edges
/ (-1, -1) / (6, 0) / (1, 1) / (3, 0) / (-1, -1) / (6, 0) / (1, 1) / (2, 6) // perm top edges

Next: (1,0)/ (3,0)/ (2,2)/ (-5,-5)/ (-1,-4)/ (3,0)/ (4,0)/ (-3,-3)/ (-5,0)/ (-4,0)/ (4,0)/ (6,-2)/ (-2,0)

 

[Renslay]

Next: (1,0)/ (3,0)/ (2,2)/ (-5,-5)/ (-1,-4)/ (3,0)/ (4,0)/ (-3,-3)/ (-5,0)/ (-4,0)/ (4,0)/ (6,-2)/ (-2,0)

A little lucky solve: easy cube shape restoration; I skipped one step, and there was no parity.

 Twizzle link 

 Setup 

(1, 0) / (3, 0) / (2, 2) / (-5, -5) / (-1, -4) / (3, 0) / (4, 0) / (-3, -3) / (-5, 0) / (-4, 0) / (4, 0) / (6, -2) / (-2, 0)

 Moves 

(-2, 0) / (2, 0) / (1, 2) / (-3, -3) / // cube
(6, -4) / (3, 0) / // D corners + adjacent D edges
(3, 0) / (0, 3) / (0, 3) / (1, 1) / (-1, -4) / (0, -3) / // EO
(3, 1) / (-3, 0) / (3, 0) / (3, -3) / (3, 0) / (-3, 0) / // permute U corners
(1, -3) / (0, 3) / (-1, -1) / (1, -2) / // permute D edges
(2, 0) / (3, 0) / (1, 0) / (0, -3) / (-1, 0) / (-3, 0) / (1, 0) / (0, 3) / // permute U edges
/ (6, 6) / (-4, -3) // mid

Next: (-3,5)/ (0,6)/ (0,3)/ (1,-2)/ (0,-3)/ (0,-3)/ (-4,0)/ (-3,0)/ (4,-1)/ (-4,0)/ (4,-5)/ (-4,0)/ (4,0)

 

[iguana]

(-3,5)/ (0,6)/ (0,3)/ (1,-2)/ (0,-3)/ (0,-3)/ (-4,0)/ (-3,0)/ (4,-1)/ (-4,0)/ (4,-5)/ (-4,0)/ (4,0)

/(2,0)/(0,6)/(-4,0)/(2,0)/(0,-2)/(-3,-2)/(-2,3)/(-1,-2)/(-3,0)/
(-2,-3)/(-3,6)/
(0,6)/(3,0)/(3,0)/(-1,-1)/(-2,1)/(-3,0)/(-1,0)
(3,-3)/(3,0)/(-3,-3)/(0,3)/
/(-3,0)/(0,3)/(0,-3)/(0,3)/(2,0)/(0,2)/(-2,0)/(4,0)/(0,-2)/(0,2)/(-1,4)/(0,3)/(0,6)/
(1,0)/(-1,-1)/(-5,1)/(-1,-1)/(4,-2)/(-1,-1)/(-5,1)/(-1,-1)/(6,1)

Next: (4,0)/ (3,0)/ (2,2)/ (0,-3)/ (3,-3)/ (-5,-5)/ (-1,0)/ (-3,0)/ (-2,-1)/ (6,0)/ (-4,0)/ (-1,0)/ (-2,0)/

 

[JackTriton]

(-3,5)/ (0,6)/ (0,3)/ (1,-2)/ (0,-3)/ (0,-3)/ (-4,0)/ (-3,0)/ (4,-1)/ (-4,0)/ (4,-5)/ (-4,0)/ (4,0)

/(2,0)/(0,6)/(-4,0)/(2,0)/(0,-2)/(-3,-2)/(-2,3)/(-1,-2)/(-3,0)/
(-2,-3)/(-3,6)/
(0,6)/(3,0)/(3,0)/(-1,-1)/(-2,1)/(-3,0)/(-1,0)
(3,-3)/(3,0)/(-3,-3)/(0,3)/
/(-3,0)/(0,3)/(0,-3)/(0,3)/(2,0)/(0,2)/(-2,0)/(4,0)/(0,-2)/(0,2)/(-1,4)/(0,3)/(0,6)/
(1,0)/(-1,-1)/(-5,1)/(-1,-1)/(4,-2)/(-1,-1)/(-5,1)/(-1,-1)/(6,1)

Next: (4,0)/ (3,0)/ (2,2)/ (0,-3)/ (3,-3)/ (-5,-5)/ (-1,0)/ (-3,0)/ (-2,-1)/ (6,0)/ (-4,0)/ (-1,0)/ (-2,0)/

Spoiler: Solution using Advanced JQ

 Twizzle link 

 Setup 

(4, 0) / (3, 0) / (2, 2) / (0, -3) / (3, -3) / (-5, -5) / (-1, 0) / (-3, 0) / (-2, -1) / (6, 0) / (-4, 0) / (-1, 0) / (-2, 0) /

 Moves 

(3, 6) / (0, 2) / (1, 0) / (0, -2) / (2, 1) / (0, 3) / // CSP: Kite / Right Fist (Even)
(0, -1) / (0, -3) / // SFFB >> -FW (Top color bottom)
(-2, -2) / (-3, 0) / (0, -3) / (6, -3) / (6, 3) / // CPSB: -FW-LO
(5, -1) / (3, 0) / (4, 1) / (-4, -1) / (-5, 1) / (-3, 0) / (-3, 0) / (0, 6) / (-4, 3) // PELS: Pos-1-UL-SS + (-4,3) ABF

Next: (0,2)/ (-5,1)/ (0,3)/ (6,0)/ (0,-3)/ (-1,-4)/ (-2,0)/ (0,-3)/ (0,-2)/ (2,0)/ (-5,0)/ (4,0)/ (0,-4)

 

[Renslay]

Next: (0,2)/ (-5,1)/ (0,3)/ (6,0)/ (0,-3)/ (-1,-4)/ (-2,0)/ (0,-3)/ (0,-2)/ (2,0)/ (-5,0)/ (4,0)/ (0,-4)

Standard beginner method for me.

 Twizzle link 

 Setup 

(0, 2) / (-5, 1) / (0, 3) / (6, 0) / (0, -3) / (-1, -4) / (-2, 0) / (0, -3) / (0, -2) / (2, 0) / (-5, 0) / (4, 0) / (0, -4)

 Moves 

(-1, -2) / (0, -2) / (-3, 4) / (2, 0) / // 8-0 edges
(3, 0) / (2, 4) / (1, 2) / (-3, -3) / // cube
(0, 2) / (0, -3) / (6, -3) / (3, 0) / (-3, 0) / // bottom corners
/ (1, 1) / (0, 3) / (-1, -1) / //bottom adj edges
(6, -3) / (0, 3) / (0, 3) / (1, 1) / (-1, -4) / (0, -3) / // EO
(3, 1) / (-3, 0) / (3, 0) / (3, -3) / (3, 0) / (-3, 0) / // top CP
(1, 0) / (0, 3) / (-1, -1) / (1, -2) / // bottom EP
/ (-1, -1) / (6, 0) / (1, 1) / (3, 0) / (-1, -1) / (6, 0) / (1, 1) / // top EP
/ (6, 0) / (6, 0) / (5, 6) // mid

Next: (-5,3)/ (-3,6)/ (2,-1)/ (1,-2)/ (3,-4)/ (0,-3)/ (-1,-2)/ (3,-2)/ (0,-2)/ (5,-4)/ (0,-5)/ (0,-1)

 

[JackTriton]

Next: (-5,3)/ (-3,6)/ (2,-1)/ (1,-2)/ (3,-4)/ (0,-3)/ (-1,-2)/ (3,-2)/ (0,-2)/ (5,-4)/ (0,-5)/ (0,-1)

I cannot do other than JQ / Advanced JQ so here's my solution / thoughts during solves

Spoiler: Solution using Advanced JQ

 Twizzle link 

 Setup 

(-5, 3) / (-3, 6) / (2, -1) / (1, -2) / (3, -4) / (0, -3) / (-1, -2) / (3, -2) / (0, -2) / (5, -4) / (0, -5) / (0, -1)

 Moves 

(3, 1) / (4, -3) / (2, 0) / (-2, 0) / (1, 0) / (3, 0) / // CSP: Barrel / Mushroom (Even)
(0, 4) / (2, 2) / (0, -3) / // SFFB >> -FW, Top Color Orange Bar
(-2, 4) / (-3, 0) / (3, 0) / (3, -3) / // CPSB: -FW-BO
/ (0, 3) / (-4, -1) / (0, -3) / (4, 1) / (0, 3) / (-3, 0) / (6, 3) / (-4, 3) // PELS: [(-2, 6) + Pos-1-DB-SO] >> FLIP + (-4, 3) ABF

Explanation of the solve:
CSP: Alt alg, make it into Shield / Kite (Odd) and the rest is same as Mushroom / Barrel (Even)

SFFB: I saw the Top-Orange blue Pair during Kite / Kite, no top colored corner on U except Orange Green
To confirm the case, I moved D and confirmed flipped Top-Red Bar on DL
I moved 1 further the D and unpair the flipped Top-Red Bar first
(2, 2)/ to pair Top-Orange Bar on D
Pair remaining Top-Red edge with Top-Red Blue Corner results in -FW (Remaining Pair on D, facing F) case

CPSB: I see that the remaining side color on top (Bottom corners placed on top for this case)
Since remaining bottom piece is placed on UBR, what I need to see is UF and UL
Confirmed that Both UF (L side of remaining bottom piece) and UL (R side of remaining bottom piece) are opposite >> -BO (Both Opposite) pattern
-FW-BO needs U remaining piece to be placed on UBL, D Bar to face F and misaligned on U >> (-2, 4) and execute the rest

PELS: UF and UR are pair but not for UB and UL >> Case 1
Pattern view (Misaligned UR >> UF, D2) confirms that Corner faces on UF and DF are pair (either opposite or same) >> Pos (Positioned) Case
For Pos, the reference edge for the algorithm is Pattern view's UR (4 clock U edge in this case), and couldn't see it on top and DF side color didn't match as well so it should be placed on DB >> DB Case
Doing D2 is redundant so using FLIP alg is better choice (every even number steps are mirrored on Y axis)
Paired blocks (no opposite edge on the block), flipped middle layer >> SO (Solved blocks, Oriented Middle) + Top color bottom resolve
(-4, 3) to align both faces

Next: (0,5)/ (0,3)/ (-5,4)/ (3,0)/ (3,0)/ (-1,-1)/ (3,-2)/ (0,-3)/ (0,-1)/ (-2,0)/ (-4,-4)/ (-2,0)/ (0,-2)/

 

[Renslay]

Next: (0,5)/ (0,3)/ (-5,4)/ (3,0)/ (3,0)/ (-1,-1)/ (3,-2)/ (0,-3)/ (0,-1)/ (-2,0)/ (-4,-4)/ (-2,0)/ (0,-2)/

 Twizzle link 

 Setup 

(0, 5) / (0, 3) / (-5, 4) / (3, 0) / (3, 0) / (-1, -1) / (3, -2) / (0, -3) / (0, -1) / (-2, 0) / (-4, -4) / (-2, 0) / (0, -2) /

 Moves 

(2, 3) / (0, 4) / (-2, 0) / (0, -4) / (-2, 0) / // 8-0 edges
(3, 0) / (2, 4) / (1, 2) / (-3, -3) / // cube
(0, 2) / (3, 3) / (-3, 0) / (3, 0) / (-3, 0) / // D corners
/ (1, 1) / (0, -3) / (-1, -1) / // adj D edges
(1, -5) / (-3, 0) / (-1, -1) / (4, 1) / // EO
(-1, 0) / (-3, 0) / (3, 0) / (3, -3) / (3, 0) / (-3, 0) / // U corners + EP skip
/ (3, 3) / (-1, 0) / (2, -4) / (4, -2) / (0, -2) / (-4, 2) / (1, -5) / (3, 0) / (3, 3) / // pairty
/ (0, 6) / (0, 6) / // mid

My Beginner Method. EP skip but had parity.

Next: (0,5)/ (3,3)/ (-2,1)/ (0,-3)/ (-3,0)/ (5,-1)/ (0,-2)/ (6,0)/ (0,-3)/ (-4,-5)/ (2,0)/ (4,-1)/

 

[JackTriton]

Next: (0,5)/ (3,3)/ (-2,1)/ (0,-3)/ (-3,0)/ (5,-1)/ (0,-2)/ (6,0)/ (0,-3)/ (-4,-5)/ (2,0)/ (4,-1)/

I'll do both Next and previous one:

Spoiler: Previous: Solution using Advanced JQ

 Twizzle link 

 Setup 

(0, 5) / (0, 3) / (-5, 4) / (3, 0) / (3, 0) / (-1, -1) / (3, -2) / (0, -3) / (0, -1) / (-2, 0) / (-4, -4) / (-2, 0) / (0, -2) /

 Moves 

(2, 0) / (0, 2) / (2, 1) / (0, -1) / (-3, 0) / // CSP: Shield / Kite (Odd) FLIP
(3, 1) / (3, -3) / (-4, -1) / // SFFB >> Blue Bar -BW
(0, -3) / (-3, 0) / (0, -3) / (0, 3) / (-3, 0) / (6, -3) / // CPSB: -BW-LP FLIP
(4, 1) / (0, -3) / (3, 0) / (0, -3) / (-1, -1) / (1, 4) / (-3, 0) / (0, -3) / (-1, 5) / (0, 1) // PELS: FLIP Pos-1-UR-OS + (0, 1) ABF

Thoughts:
CSP:
Corner >> 1T, ORG, RGB >> Even
Edge >> 2T, ORB, RGB >> Even
Position >> Odd
>> Odd case

SFFB:
Form Bottom-Blue orange Pair on U,
Form Bottom-Green red Pair on U,
Form Bottom-Blue Bar while swapping Bottom-Green red Pair and Bottom-Orange Green Corner
Single corner on U, Pair facing B on D >> -BW

CPSB:
Left from the corner is Paired >> LP
Minimal movements would be doing FLIP alg

PELS:
One pair is placede adjacent, non-pair is placed on the other halve >> Pattern 1
Pattern view has same corner color for UF and DF >> Pos
Reference Edge is placed on UR >> UR
Since the D layer facing backward, doing FLIP alg is better choice for this case
Non-Paired blocks, Solved Middle >> OS
(0, 1) ABF

Spoiler: Next: Solution using Advanced JQ

 Twizzle link 

 Setup 

(0, 5) / (3, 3) / (-2, 1) / (0, -3) / (-3, 0) / (5, -1) / (0, -2) / (6, 0) / (0, -3) / (-4, -5) / (2, 0) / (4, -1) /

 Moves 

(-1, -2) / (4, 0) / (2, 0) / (-1, 0) / (-3, 0) / // CSP: 3-2-1 / L (Even)
(0, 2) / // SFFB >> LW-B Top color bottom Blue Bar
(-2, 1) / (-3, 0) / (3, 0) / (0, -3) / (-3, 0) / // CPSB: LW-B-BP FLIP
/ (3, 0) / (-3, 0) / (-1, -1) / (4, 1) / (3, 0) / (0, 6) / (5, 6) // PELS: (1,0) + Pos-2-UL-SS + (5,6) ABF

Thoughts:
CSP:
TBC:2>>Even, TBE:1>>Odd, BC:GBR>>Odd, TC:BOG>>Even, BE:OBG>>Odd, TE:ROG>>Odd
3-2-1: Even Pos, L: Even Pos
Odd 4 >> Even Alg

SFFB:
Pair Blue Pair on bottom results in Pair forming on Top
Paired on U have Corner on left side of the edge and the corner facing B if I positioned the bar on DL >> LW-B

CPSB:
From U Pair, both sides' corner colors are paired >> BP
Since D Bar faces front, doing FLIP alg is better choice

PELS:
One Edge is different colored on top, UB and UL are not pair >> 2
Pattern position: UF and DF are opposite color >> Pos
Reference edge is placed on UL >> UL
Solved blocks, Solved middle >> SS, while resolving top color bottom
(5,6) ABF

Next: (0,-1)/ (-5,-2)/ (-4,-1)/ (-5,-2)/ (3,0)/ (-1,0)/ (-3,-3)/ (-4,0)/ (-5,0)/ (2,-1)/ (-2,0)/ (-2,0)/

 

[Renslay]

Next: (0,-1)/ (-5,-2)/ (-4,-1)/ (-5,-2)/ (3,0)/ (-1,0)/ (-3,-3)/ (-4,0)/ (-5,0)/ (2,-1)/ (-2,0)/ (-2,0)/

 Twizzle link 

 Setup 

(0, -1) / (-5, -2) / (-4, -1) / (-5, -2) / (3, 0) / (-1, 0) / (-3, -3) / (-4, 0) / (-5, 0) / (2, -1) / (-2, 0) / (-2, 0) /

 Moves 

(0, 2) / (4, 0) / (-4, 0) / (1, 2) / (-3, -3) / // cube
(1, 3) / (-3, -3) / (-4, -1) / // D corners + adj edges
(0, 3) / (0, 3) / (0, 3) / (1, 1) / (-1, -4) / (0, -3) / // EO
(6, 1) / (-3, 0) / (3, 0) / (3, -3) / (3, 0) / (-3, 0) / // CP
(6, 0) / (3, 0) / (1, 0) / (0, -3) / (-1, 0) / (-3, 0) / (1, 0) / (0, 3) / (-1, 0) // EP

My Beginner Method. This was one of my easiest solves!

Next: (4,0)/ (-1,2)/ (0,3)/ (-5,-2)/ (0,-3)/ (-3,0)/ (3,-4)/ (0,-3)/ (6,-2)/ (5,0)/ (3,-2)/ (-5,0)/ (6,0)

 

[Renslay]

Next: (4,0)/ (-1,2)/ (0,3)/ (-5,-2)/ (0,-3)/ (-3,0)/ (3,-4)/ (0,-3)/ (6,-2)/ (5,0)/ (3,-2)/ (-5,0)/ (6,0)

 Twizzle link 

 Setup 

(4, 0) / (-1, 2) / (0, 3) / (-5, -2) / (0, -3) / (-3, 0) / (3, -4) / (0, -3) / (6, -2) / (5, 0) / (3, -2) / (-5, 0) / (6, 0)

 Moves 

(6, 0) / (-1, -2) / (-2, 0) / // 8-0 edges
(3, 0) / (2, 4) / (1, 2) / (-3, -3) / // cube
(-2, 0) / (3, 3) / (-3, 0) / (-3, 0) / // D corners
(-3, 3) / (-1, -1) / (0, 3) / (1, 1) / // D adj edges
(-4, -1) / (0, 3) / (0, 3) / (1, 1) / (-1, -4) / (0, -3) / // EO
(6, 1) / (-3, 0) / (3, 0) / (3, -3) / (3, 0) / (-3, 0) / // CP
(-3, 0) / (-3, 0) / (0, 3) / (0, -3) / (0, 3) / (2, 0) / (0, 2) / (-2, 0) / (4, 0) / (0, -2) / (0, 2) / (-1, 4) / (0, -3) / (6, 3) // parity

Would be good, but I got an adjacent edge parity. Ah, too bad.

Next: (1,0)/ (0,3)/ (5,5)/ (-2,-5)/ (-3,-3)/ (3,0)/ (5,0)/ (6,-3)/ (6,-5)/ (4,0)/ (2,0)/ (-4,0)

 

[JackTriton]

Next: (4,0)/ (-1,2)/ (0,3)/ (-5,-2)/ (0,-3)/ (-3,0)/ (3,-4)/ (0,-3)/ (6,-2)/ (5,0)/ (3,-2)/ (-5,0)/ (6,0)

This was tricky but not bad except SFFB

Spoiler: Solution using Advanced JQ

 Twizzle link 

 Setup 

(4, 0) / (-1, 2) / (0, 3) / (-5, -2) / (0, -3) / (-3, 0) / (3, -4) / (0, -3) / (6, -2) / (5, 0) / (3, -2) / (-5, 0) / (6, 0)

 Moves 

(3, 4) / (-2, 2) / (0, -4) / (2, 1) / (0, 3) / // CSP: 3-2-1 / Pair (Even)
(-2, 3) / (0, 3) / (3, 6) / // SFFB: FLIP Blue Bar RW-F
(-4, -1) / (0, 3) / (-3, 0) / (3, 0) / (-3, 6) / // CPSB: RW-F-BP
(3, 0) / (-5, 1) / (-4, -1) / (3, 0) / (4, 1) / (2, -1) / (-2, -5) / (5, 6) // PELS: (3, -1) + Adj-1-DB-SO + (5, 6) ABF

Thoughts:
CSP:
Top 3-2-1, Bottom Pair
Slice >> Odd (Blue / Red)
Side >> UC GOR Even, DC GRB Even, UE GBO Even, DE GOR Even >> Even
Top >> C W3 Odd, E W2 Even >> Odd
Odd Even Odd >> Even

SFFB:
Not great case
Decide to make the pair using Top-Blue, resolve opposite placements of Top-Green edge and Top-Green Orange Corner
Bring Top-Green Red Corner to Top and Block pair with Top-Blue orange Pair
Make Top-Blue Bar on D + Pair Top-Green edge and Top-Green Orange Corner
>> RW-F

CPSB:
Both faces from the pair is paired >> -BP
Since bar is facing front, doing normal one would be great

PELS:
Adjacent swap on UF UR and neither relates to UL, UR relates to DF >> Pattern 1 (3, -1)
Adjacent top, none of the top edges and DF should be located on UF >> Adj, DB
Solved Blocks, Oriented middle >> SO
(5, 6) ABF

Next: (1,0)/ (0,3)/ (5,5)/ (-2,-5)/ (-3,-3)/ (3,0)/ (5,0)/ (6,-3)/ (6,-5)/ (4,0)/ (2,0)/ (-4,0)

Lucky case for me

Spoiler: Solution using Advanced JQ

 Twizzle link 

 Setup 

(1, 0) / (0, 3) / (5, 5) / (-2, -5) / (-3, -3) / (3, 0) / (5, 0) / (6, -3) / (6, -5) / (4, 0) / (2, 0) / (-4, 0)

 Moves 

(4, 0) / (-2, 0) / (2, 0) / (-1, 0) / (-3, 0) / // CSP: Shield / Kite (Even)
(4, 0) / (3, 0) / // SFFB >> -BW Top Blue Bar
(-1, -1) / (0, -3) / // CPSB: -BW-RP FLIP
(-3, 0) / (0, 3) / (4, 1) / (0, 3) / (-3, 0) / (5, -1) / (0, 3) / (0, 6) / (0, -5) // PELS: (0,5) + FLIP Pos-2-DB-SS + (0,-5) ABF

Thoughts:
CSP:
Shield - Red, Kite - Red >> Even
TBC: 2W Even, TBE: 2W Even, TC: RBG Even, BC: BOR Odd, TE: GBR Odd, BE: OGB Even
Odd 2 >> Even

SFFB:
Pair Top-Red Blue Corner and Top-Blue orange Pair
Bring the Bar to D while pair Top-Green with Top-Green Orange Corner
>> -BW

CPSB:
Right side from the corner is paired >> -RP
Bar is facing right so doing FLIP one would be better

PELS:
1 Opp on Top, non-pair rest >> Pattern 2
uFl and dFl is opposite color >> Pos
Reference edge is currently placed on DF, pattern position is (0,-5) >> DB alg
Doing D2 is redundant, use FLIP alg
Solved Block, Solved Middle >> SS
(0,-5) ABF

Next: (4,0)/ (-3,0)/ (5,2)/ (3,0)/ (6,-3)/ (-2,-5)/ (0,-1)/ (-3,-3)/ (5,0)/ (4,0)/ (0,-4)/ (4,0)/ (1,0)/