DFr buffer wing commutators

	C	D	E	F	G	H
1
2				File -> DOWNLOAD AS -> Excel file to change the lettering scheme to your own.		Commutator notation -[z: [a,b] = (Z) A [B] A' [B'] (Z')
3						CANCELLATION(S)? - meaning does the 3-style alg in its fastest possible form contain any cancellations?
4						333 EDGES/555 MIDGES? - can the alg be applied directly to wings and midges (replacing slice moves for M-moves) and is it the best alg to use?
5
6	TARGET 1	TARGET 2	LETTER PAIR	COMMUTATOR	MOVE OPTIMAL?	COMMENT/ALTERNATE ALG

7	A	B	AB	[y x2 [U r2 U', L2]]	Y	Doing the same rotations at the end as the ones at the beginning bring you back to the correct orientation - just for showboating!
8	A	C	AC	Lw' U2 r U2 Lw U2 Lw' U2 r' U2 Lw U2	Y	Credit for this alg goes to Matt Sheerin :)
9	A	D	AD	[y' x2 [U' r2 U, R2]]	Y	Doing the same rotations at the end as the ones at the beginning bring you back to the correct orientation - just for showboating!
10	A	E	AE	[U2: [r2, U' L' U]]	Y
11	A	F	AF	[x': [D2, l' U' l]]	Y
12	A	G	AG	[x': [D2, l' U l]]	Y
13	A	H	AH	[U2: [r2, U R U']]	Y
14	A	J	AJ	[y': [R2, U' r2 U]]	Y
15	A	K	AK	z2 U2 Lw' U2 r U2 Lw U2 Lw' U2 r' U2 Lw z2	N
16	A	L	AL	[y': [R2, U l2 U']]	Y
17	A	M	AM	[l': [l' D2 l, U2]]	Y	Move optimal [l' y x R2 U' [r] U R2 U' [r'] x' y' l]
18	A	N	AN	[U2 x': [r2, U' R U]]	Y	This is just the advanced r2 alg
19	A	O	AO	[y: [L2, U r U']]	Y	[l': [D2, r U2 r']] = a set-up to a vital wing commutator
20	A	P	AP	[y x2 U: [r', U' L2 U]]	Y
21	A	Q	AQ	[U2 x': [r2, U L2 U']]	Y
22	A	R	AR	[U2 x': [D L2 D', r2]]	Y
23	A	S	AS	[U2 x': [D' R2 D, r2]]	Y
24	A	T	AT	[U2 x': [r2, U' R2 U]]	Y
25	A	U	AU	[l2: [r U2 r', D2]]	Y	Set-ups with l-slice are important here for speed + optimalization.
26	A	V	AV	[y: [L2, U r' U']]	Y
27	A	W	AW	[y' x2: [U' r U, R2]]	Y	[U' x2: [r, U R2 U']]
28	A	X	AX	[y': [R2, U' r' U]]	Y
29	B	A	BA	[y x2: [L2, U r2 U']]	Y	Doing the same rotations at the end as the ones at the beginning bring you back to the correct orientation - just for showboating!
30	B	C	BC	[y2: [R' U' R U, l2]]	N	Move optimal [r2, D' L2 D]
31	B	D	BD	[L2 y': [r2, U R2 U']]	Y
32	B	E	BE	[U r2 U', L']	Y
33	B	F	BF	[U r2 U', L]	Y
34	B	G	BG	[U: [r2, U R' U']]	Y
35	B	H	BH	[U: [r2, U R U']]	Y
36	B	J	BJ	[U r2 U', L2]	Y
37	B	K	BK	[y2 F2: [R' U' R U, l2]]	N
38	B	L	BL	[y: [U' L2 U, r2]]	Y
39	B	M	BM	[r', D' L2 D]	Y
40	B	N	BN	[y r': [r' D r, U2]]	Y
41	B	O	BO	[L2: [r U2 r', D]]	N	[D2: [l', D L2 D'] which cancels to an A9 and can be directly applied to 333 edges and 555 midges. Move optimal.
42	B	P	BP	[y: [U' L2 U, r]]	Y
43	B	Q	BQ	[y' x2: [R', U l2 U']]	Y
44	B	R	BR	[x' 2Uw': [U' R U, r2]]	Y
45	B	S	BS	[z U': [U' L' U, l]]	Y
46	B	T	BT	[z U: [U L' U', r]]	Y
47	B	U	BU	[Lw2: [r U2 r', D]]	Y
48	B	V	BV	[y: [U' L2 U, r']]	Y
49	B	W	BW	[x2: [r, U' L2 U]]	Y
50	B	X	BX	[y' U2: [U R2 U', r']]	Y
51	C	A	CA	U2 Lw' U2 r U2 Lw U2 Lw' U2 r' U2 Lw	Y	Credit for this alg goes to Matt Sheerin :)
52	C	B	CB	[y2: [l2, R' U' R U]]	N	Move optimal [D' L2 D, r2]
53	C	D	CD	[r2, R' U R U']	N	The majority of these cases are just M2 cases where the target UB is involved. Should be easy.
54	C	E	CE	[r2, U' L' U]	Y
55	C	F	CF	[r2, U' L U]	Y
56	C	G	CG	[r2, U R' U']	Y
57	C	H	CH	[r2, U R U']	Y
58	C	J	CJ	[r2, U' L2 U]	Y
59	C	K	CK	x2 Lw' U2 r U2 Lw U2 Lw' U2 r' U2 Lw U2 x2	N
60	C	L	CL	[r2, U R2 U']	Y
61	C	M	CM	[y U: [U R2 U', r]]	Y
62	C	N	CN	[x': [r2, U L' U']]	Y
63	C	O	CO	[U' y r': [r' D r, U2]]	Y	Similarly, this is a one move set up to the 9-mover DFr -> ULb -> LUf case.
64	C	P	CP	[x': [r2, U' R U]]	Y
65	C	Q	CQ	[x': [r2, U L2 U']]	Y
66	C	R	CR	[y' x': [R D2 R', u2]]	Y	[x': [D L2 D', r2]] though this alg requires regrips, thus slowing it down.
67	C	S	CS	[x': [r2, R' U' R U]]	N
68	C	T	CT	[x': [r2, U' R2 U]]	Y
69	C	U	CU	[l2 U' y r': [r' D r, U2]]	N
70	C	V	CV	[x': [r2, U L U']]	Y
71	C	W	CW	[x2 y' U: [r, U R2 U']]	Y
72	C	X	CX	[x': [r2, U' R' U]]	Y
73	D	A	DA	[y' x2: [R2, U' r2 U]]	Y	Doing the same rotations at the end as the ones at the beginning bring you back to the correct orientation - just for showboating!
74	D	B	DB	[L2 y': [U R2 U', r2]]	Y
75	D	C	DC	[R' U R U', r2]	N
76	D	E	DE	[U': [r2, U' L' U]]	Y
77	D	F	DF	[U': [r2, U' L U]]	Y
78	D	G	DG	[U' r2 U, R']	Y
79	D	H	DH	[U' r2 U, R]	Y
80	D	J	DJ	[y': [U R2 U', r2]]	Y
81	D	K	DK	[B2: [R' U R U', r2]]	N	Long but avoids rotations and actual commutator part is only R/U/r moves.. Alternate alg is [B2: [r2, D R2 D']] which may require regrips.
82	D	L	DL	[U' r2 U, R2]	Y
83	D	M	DM	[x2: [r', U R2 U']]	Y
84	D	N	DN	[y': [U R2 U', r]]	Y
85	D	O	DO	[R2: [r U2 r', D']]	Y	[D2: [l', D' R2 D] which cancels to an A9 and can be directly applied to 333 edges and 555 midges
86	D	P	DP	[y' r': [r' D' r, U2]]	Y
87	D	Q	DQ	[z' U': [U' R U, r]]	Y
88	D	R	DR	[z' U: [U R U', l]]	N
89	D	S	DS	[x' Uw: [U L' U', r2]]	Y
90	D	T	DT	[y x2: [L, U' l2 U]]	Y
91	D	U	DU	[l' y' x2: [R2, U' r2 U]]	Y
92	D	V	DV	[y U2: [U' L2 U, r']]	Y
93	D	W	DW	[x2: [r, U R2 U']]	Y
94	D	X	DX	[y: [U R2 U', r']]	Y
95	E	A	EA	[U2: [U' L' U, r2]]	Y
96	E	B	EB	[L', U r2 U']	Y
97	E	C	EC	[U' L' U, r2]	Y
98	E	D	ED	[U': [U' L' U, r2]]	Y
99	E	F	EF	[x': [L2, U r' U']]	Y
100	E	G	EG	[z: [U L' U', r2]]	Y