## Overview of all algorithms for corners of first layer and edges of second layer

### Explanation

After you built the cross of edges on the first layer, you need to build up two solved layers of the cube. Below you see the algorithms to achieve this.
It works like this: find a corner of the first layer, and find the edge of the second layer that belongs to this corner. Now look in the table below for the correct position and orientation of this corner and edge. You might need to turn the top layer to get a situation from the table.
Below the picture you can find the algorithms that put the corner and edge into their positions and orient them.

I found these algorithms using my CubeSolver applet.
These are definitely the shortest algorithms for the situations. If there are more than ten solutions with the same number of moves, only the most common ones are provided.
I am working on the algorithms for the cases where another corner of the first layer is still free. This could give even shorter algorithms, because then you have more sides to turn without breaking up what has already been solved.
I also have a printable version of these algorithms. It is only one page, and shows the two most common algorithms per situation.

### Situations and Algorithms (Red side is top, Green side is front, Grey side is right)

 code: a01x U'RU'R2F'U2FR2U2 (9) U2R2F'U2FR2UR'U (9) FR'FR2UF2U'R2F2 (9) F2R2UF2U'R2F'RF' (9) code: a02 F'R2D'FDR2F (7) UR2BUB'R2U' (7) DB2LUL'B2D' (7) BU2RUR'U2B' (7) RFR'F'R'U'RU (8) RFRF'R'U'R'U (8) code: a05 F'R2D'F'DR2F (7) UR2BU'B'R2U' (7) D'F2R'F'RF2D (7) B'D2L'F'LD2B (7) R'U'R'URFRF' (8) R'U'RURFR'F' (8) code: a11 F2R2F'R'FR'F'R2F' (9) U'R2U'R'UR'U'R2U2 (9) U2R2UF2D'F'DF'U (9) F2RDR'D'F2U'R'U (9) U2B'DB'D'B2UR2U (9) U2R2F'UFR2UR2U (9) FR2FD2B'D'BD'F2 (9) FR2FR2UFU'R2F2 (9) FU'BU'B'U2FR2F2 (9) FR'F'U2B'R'BRU2 (9) code: a11x U2B'R'BRUR'U (8) U2BUB2RBR2U (8) U'RUFDR2D'F' (8) U'B'R2BUFRF' (8) FR'FRDR'D'F2 (8) FR2DRD2FDF2 (8) code: a15 FR'F2UFU' (6) U'R2UFR2F' (6) FR2D'FDF2 (6) code: a15x R'FR'F'U'R'U (7) R2F'UFU2R'U (7) R2U'RB'R2BU (7) R'U2BUB'R2U (7) code: a21 U2R2URU'RUR2U (9) FR2FRF'RFR2F2 (9) F2R2F'U2BUB'UF' (9) U2R'B'RBU2FRF' (9) F2DB'DBD2F'R2F' (9) F2R2UF'U'R2F'R2F' (9) U'R2U'B2DBD'BU2 (9) U'R2U'R2F'U'FR2U2 (9) U'FD'FDF2U'R2U2 (9) U'RUF2DRD'R'F2 (9) code: a21x F2DRD'R'F'RF' (8) U'RU'R'B'RBU2 (8) FDR2D'F'U'R'U (8) FR'F'U'B'R2BU (8) F2D'F'D2R'D'R2F' (8) U'R2B'R'B2U'B'U2 (8) code: a22 U'RU2F'U'F (6) FR2F'U'R2U (6) U'R2BU'B'U2 (6) code: a22x RU'RUFRF' (7) R2FR'DR2D'F' (7) R2UF'U'F2RF' (7) RF2D'F'DR2F' (7) code: b01 RFR2DR2D'F' (7) BL'B'RBLB' (7) R2U'B'R2BR2U (7) DL2D'R2DL2D' (7) RU'RURU'R2U (8) code: b01x RU'R'UR'FRF' (8) RU'BU'B'UR'U (8) R2U'R'UF'UFU' (8) R2U'RURFRF' (8) R2U'R'URFR'F' (8) R2U'R'UR2FR2F' (8) code: b02 R'U'RU (4) UF'U'F (4) R2U'R2U (4) code: b02x F'R2F2RF2RF (7) FR'DR2D'R2F' (7) RU'R2UR'FRF' (8) code: b03 F2DRD'R'F2 (6) R2U'B'R'BR2U (7) RU'R'UR2U'RU (8) code: b03x U2R'B'RBU2 (6) FR'DRD'R2F' (7) U2B2L'B'LB'U2 (7) RU'RUR'FRF' (8) code: b04 FRF' (3) code: b04x U'R'B'R2BR'U (7) F2R2UF2U'R2F2 (7) D'F'R'F2RF'D (7) B'D2F2DF2DB (7) RU'R2UR2U'RU (8) code: b05 R'FR'F'RFRF' (8) U'R'U2F'U'F2RF' (8) FDB'DBD2R2F' (8) R'F2LF'RFL'F2 (8) UFD'F'U'F2DF2 (8) U'FD'F'UF2DF2 (8) FD'R'F'RF2DF2 (8) R2F2RF'RFR2F2 (8) U'RB'RB2U'B'U2 (8) code: b05x U'B'D'RDBU (7) FR'DR'D'R2F' (7) FR'F'R2U'R'U (7) U'R2B'R'BR'U (7) F2D'LD'L'D2F2 (7) code: b11 D'LDR'D'L'D (7) B'L2BR2B'L2B (7) R'U'R2B'R2BU (7) R2FDR2D'R2F' (7) R'FR'F'R'FR2F' (8) code: b11x R'FRF'RU'R'U (8) R'FD'FDF'RF' (8) R2FRF'UF'U'F (8) R2FR'F'R'U'R'U (8) R2FRF'R'U'RU (8) R2FRF'R2U'R2U (8) code: b12 RU'RUR'U'R'U (8) FRF2UFU2R'U (8) U'B'DB'D'B2R2U (8) FR'DR'D2FDF2 (8) RU2L'UR'U'LU2 (8) FU'BUF'U2B'U2 (8) F'U'BUFU2B'U2 (8) U'BRUR'U2B'U2 (8) R2U2R'UR'U'R2U2 (8) code: b12x U'RUR2FRF' (7) FDBR'B'D'F' (7) FR2DRD'RF' (7) U'RB'RBR2U (7) U2BL'BLB2U2 (7) code: b13 U'R'U (3) code: b13x U2R2F'U2FR2U2 (7) DB2U2B'U2B'D' (7) FRDR2D'RF' (7) BURU2R'UB' (7) R'FR2F'R2FR'F' (8) code: b14 U2B'R'BRU2 (6) R2FDRD'R2F' (7) R'FRF'R2FR'F' (8) code: b14x F2RDR'D'F2 (6) U'RB'R'BR2U (7) F2D2LDL'DF2 (7) code: b15 RFR'F' (4) F'UFU' (4) R2FR2F' (4) code: b15x UR2U2R'U2R'U' (7) U'RB'R2BR2U (7) R'FR2F'RU'R'U (8) code: b21 U2R'U2R'U2R2U2 (7) F2RF2RF2R2F2 (7) R2U'RB'R'BR'U (8) code: b21x U'RUFR2F' (6) FR'F'U'R2U (6) code: b22 U'R2URU'R'U (7) code: b22x R2F2R2F'R'FR'F2 (8) FRFD'F'DR2F' (8) R2U'B'R'B2U'B'U2 (8) code: b23 R'U'R2U2F'U'F (7) R'U'R'BU'B'U2 (7) code: b23x FDR2D'F' (5) R2FRF2UFU' (7) R2FD'FDF2 (6) FDR'D'R'F' (6) code: b24 RFR2F2UFU' (7) RFRD'FDF2 (7) code: b24x U'B'R2BU (5) U'B'RBRU (6) R2U'BU'B'U2 (6) R2U'R'U2F'U'F (7) R2FRF'U'R'U (7) code: b25 FR2F'R'FRF' (7) code: b25x U'R'U'BUB'R2U (8) R2FDRD2FDF2 (8) R2U2R2URU'RU2 (8)