#1

U R U' R'
U2 R U2' R'
R' F R F'

#2

y' U' R' U R
y' U2' R' U2 R
F R' F' R

#3

U' R U R' U2 R U' R'
y' U r' U R U' R' U' r

#4

U' r U' R' U R U r'
y' U R' U' R U R' U2' R

#5

U' R U2' R' U2 R U' R'
y' F R U R2' U' R F'

#6

d R' U2 R U2' R' U R

#7

R' D' R U' R' D R U R U' R'
R U R' U2 R U' R' U R U' R'
F' U F U2' R U R'
y' R2' F R F' R U2' R' U R

#8

R U' R' U2 F' U' F
y r' U' R' F R U r
y F U' R U' R' U2 F'
y' U2 R' U' R U R D R' U' R D' R'

#9

F' U' F
y' R' U' R
y U2 R' F R U R' F' R

#10

R U R'

#11

U' R U' R' d R' U' R
U R U R' U2' F' U' F
y' U R' U' R U' R' U' R
U r U R' U' r' R2 U' R'

#12

U2 R U' R' U' R U R'
U2 r U' R' U' R U r'
y F U' R U R' U2' F'

#13

U' R U2' R' d R' U' R
y U' L' U L U L' U' L U L' U' L
y' R U2' R2' U' R2 U' R'

#14

R U' R' U R U' R' U2 R U' R'
U R U' R' U' R U R' U' R U R' 
y2 L' U2 L2 U L2' U L
y F U' R U2 R' U2' F'

#15

y U L' U L U' L' U' L
d R2' D' R U' R' D R2

#16

U' R U' R' U R U R' 

#17

R U2' R' U' R U R'
R U2' r' U' R U R' M'

#18

y L' U2 L U L' U' L
y' R' U2' r U R' U' R2 r'

#19

U R U2' R' U R U' R'
U R U2' R2' F R F'

#20

y U' L' U2 L U' L' U L
y' U' R' U' F R' F' R2

#21

R U' R' U2 R U R'
U2 R U R' U R U' R'
y F R U2 R' F'

#22

y U2 L' U' L U' L' U L
y' U2 l' U R' U' R2 x'

#23

U R U' R' U' R U' R' U R U' R'
R U' R2' D' R U2 R' D R
U F R' F' R U R U R'

#24

F U R U' R' F' R U' R'
y' R' U' R U2 R' U' R U R' U' R
y' U2' R2' U2' R U R' U R2

#25

U R U' R' d' L' U L
U R U R' U' F' U' F

#26

U' F' R U R' U' R' F R
U' R' F R F' R U R'

#27

y' R' U' R U R' U' R
y' U R' U2' R U2 R' U' R
U2 R U' R' F' U' F

#28

R U R' U' R U R'

#29

R U' R' U R U' R'
R U' R2' F R F'
y' R' U2 R' F R F' R

#30

y L' U L U' L' U L

#31

U' R U' R' U2 R U' R'
y' U' R' U' R U2 R' U' R
y' U R' U2 R U' R' U' R
y R' D R U' R' D' R

#32

U R U R' U2' R U R' 
U' R' D' R U R' D R

#33

U2 R U' R' U' F' U' F
y U' F U F' U L' U' L
U M' U R U' r' R U' R' 

#34

U F' U' F U' R U R'

#35

U' R' F R F' R U' R'
y' R' U R' F R F' R
U R U2' R' F' U' F

#36

(U R U' R')3
U' F R' F' R U' R U R' 
y U2 F U' R U R' U F'
y' (R' U' R U)2 R' U' R

#37

R U' R' U' R U R' U2 R U' R'
y' R' U R U' R' U2 R U' R' U R

#38

R U' R' U R U2' R' U R U' R'
y' R' U' R U R' U2' R U R' U' R

#39

r U' r' U2 r U r' R U R' 
R U' R' U' R U' R' U F' U' F
R U' R' F R U R' U' F' R U' R'

#40

R U' R' r U' r' U2 r U r' 
R U R' U' R U' R' U2 F' U' F

#41

R' F R F' R U' R' U R U' R' U2 R U' R'
y L' U L U' F U2 R U' R' U F'
Notes section:

#1 & #2 Use RFgen inserts only for edge control











#3 When you can save the y rotation and insert using a non 2gen insert for any slot that isn't BL, you should do that in my opinion



















#7 When you have BR free it's good to do U' R' U R U' R U R', this and #8 have a number of good ZBLS cases worth looking at in the long run




#8 When FL is free, y' U R U' R' U R' U' R is nice






#9 The 3rd alg works best either for ZBLS, in the context of certain F2L solutions where you start by working with a different slot, or when BR is free and you can do y U2 R' F R U F'







#11 When FL is free, y' R U' R2' U' R






#12 When BR is free R' U R2 U R'





#13 If FL is free then you can skip the last few turns of the 3rd listed solution




#14 R' U2' R2 U R' when BR is free






#15 R' U R F' U' F is decent when BR is free





#16 F U' F' R U R' is even better when FL is free





#17 Easy ZBLS that's similar to standard insert, best used for avoiding dots rather than full EO if you aren't ZBLL savvy 









#19 r U' r' U2 r U r' is an option but feels a bit too situational so I didn't list it in the main sections, YMMV





















#23 If you're on first pair or have only solved BL, D R U' R2' U R D' is ridiculous




#24 Can be done with u' R' U R2 U' R' D when only BL is solved but is kinda awkward. Chances are you'll have a better first or second pair to choose from anyhow. #23 & #24 have a number of good ZBLS options also



#25 & #26 If you aren't on last pair you should always keyhole by moving an unsolved slot over with a D or u style turn. Just like every other F2L case where there isn't a clear best solution, you'll have ZBLS options






























#31 & #32 Keyhole if not on last pair, although not as important as the edge inserts since these are nice F2L cases











#33 & #34 It's easy to learn half of the ZBLS cases by knowing all 3 different basic free pair setups 









#35 Similar to #33 & #34 it's easy to learn half the ZBLS cases with intuition, however you mostly want to stick to speed optimal inserts imo



#36 Keyhole if you aren't on LS






#37 & #38 Keyhole is good but only saves 2 moves so may not be worth implementing, keeping things simple is more important here but YMMV







#39-41 all 3 of these are special cases in the sense that they only have 2 unique ZBLS cases. You may however not feel the need to force full EO if you aren't on the ZBLL train, but if this is your last or second last pair then you should never be getting a dot OLL

















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