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F2L — all 41 cases

The 41 cases for inserting a corner + edge pair into the front-right slot.

Read this before diving in

Learning these 41 cases by heart is the worst possible route. F2L is learned intuitively first: you understand how to pull the pair out, join it, and put it away. This page is a reference, to look up when one particular case keeps costing you time.

Every algorithm below is the shortest possible one in R, U and F: they were found by exhaustive search, not copied. The greyed-out pieces do not matter for the case.

Corner and edge are both on top

Case 1
Case 1
F' U F
Case 2
Case 2
F' U' F
Case 3
Case 3
R U R'
Case 4
Case 4
R U' R'
Case 5
Case 5
F' U' F R U R'
Case 6
Case 6
F' U' F2 R' F' R
Case 7
Case 7
F' U2 F2 R' F' R
Case 8
Case 8
R U2 R2 F R F'
Case 9
Case 9
F U2 F2 U' F2 U' F'
Case 10
Case 10
F' U F U' F' U' F
Case 11
Case 11
F' U F U2 R U R'
Case 12
Case 12
F' U' F U' F' U' F
Case 13
Case 13
F' U' F U2 F' U F
Case 14
Case 14
F' U2 F U F' U' F
Case 15
Case 15
F' U2 F U' R U R'
Case 16
Case 16
F2 U2 F U F' U F2
Case 17
Case 17
R U R' U2 R U' R'
Case 18
Case 18
R U' R' U R U R'
Case 19
Case 19
R U' R' U' R U R'
Case 20
Case 20
R U' R' U2 F' U' F
Case 21
Case 21
R U2 R' U' R U R'
Case 22
Case 22
R U2 R' U2 R U' R'
Case 23
Case 23
R2 U2 F R2 F' U2 R2
Case 24
Case 24
R2 U2 R' U' R U' R2

The edge is already in the slot

Case 25
Case 25
F' U2 F R U R'
Case 26
Case 26
F' U' F U R U' R'
Case 27
Case 27
R U R' F R' F' R
Case 28
Case 28
R U' R' U2 R U' R'
Case 29
Case 29
R U2 R' U R U R'
Case 30
Case 30
R2 U2 R2 U' R2 U' R2

The corner is already in the slot

Case 31
Case 31
F' U F R U R'
Case 32
Case 32
F' U F2 R' F' R
Case 33
Case 33
F' U2 F R U2 R'
Case 34
Case 34
R U' R' F' U' F
Case 35
Case 35
F' U F U R U' R'
Case 36
Case 36
R U' R' F R' F' R

Both are in the slot, badly placed

Case 37
Case 37
R F U R U' R' F' U' R'
Case 38
Case 38
R U F R U R' U' F' R'
Case 39
Case 39
R2 U2 F R' F' U2 R' U2 R'
Case 40
Case 40
R2 U2 F R2 F' U2 R' U R'
Case 41
Case 41
R2 U2 R' U' R U' R' U2 R'