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

 code: a01x R2U2FR2F'U2R'UR' (9) F'UF'U2R'F2RU2F2 (9) F2U2R'F2RU2FU'F (9) RU'RU2FR2F'U2R2 (9) code: a02 URUR'U'F'U'F (8) R'U2B'RBU2R (7) FU2LFL'U2F' (7) BL2DFD'L2B' (7) LF2UFU'F2L' (7) URU'R'U'F'UF (8) code: a05 U'F'U'FURUR' (8) R'U2B'R'BU2R (7) FU2LF'L'U2F' (7) B'R2U'R'UR2B (7) L'B2D'R'DB2L (7) U'F'UFURU'R' (8) code: a11 R2U2R'U'RU'R'U2R' (9) F'U2F'U'FU'F'U2F2 (9) F2U2FR2B'R'BR'F (9) R2UBU'B'R2F'U'F (9) F2L'BL'B'L2FU2F (9) F2U2R'FRU2FU2F (9) RU2RB2L'B'LB'R2 (9) RU2RU2FRF'U2R2 (9) RF'LF'L'F2RU2R2 (9) RU'R'F2L'U'LUF2 (9) code: a11x F'L'U2LFRUR' (8) F2L'U'LUFU'F (8) F2LFL2ULU2F (8) F'UFRBU2B'R' (8) RU'RUBU'B'R2 (8) RU2BUB2RBR2 (8) code: a15 RU'R'URU'R' (7) RU'R2FRF' (6) F'U2FRU2R' (6) RU2B'RBR2 (6) code: a15x UF'U'FUF'U'F (8) U'RU'R'F'U'F (7) U2R'FRF2U'F (7) U2F'UL'U2LF (7) U'F2LFL'U2F (7) code: a21 F2U2FUF'UFU2F (9) RU2RUR'URU2R2 (9) R2U2R'F2LFL'FR' (9) F2U'L'ULF2RUR' (9) R2BL'BLB2R'U2R' (9) R2U2FR'F'U2R'U2R' (9) F'U2F'L2BLB'LF2 (9) F'U2F'U2R'F'RU2F2 (9) F'RB'RBR2F'U2F2 (9) F'UFR2BUB'U'R2 (9) code: a21x RU'R'F'L'U2LF (8) R2BUB'U'R'UR' (8) F'UF'U'L'ULF2 (8) RBU2B'R'F'U'F (8) R2B'R'B2U'B'U2R' (8) F'U2L'U'L2F'L'F2 (8) code: a22 F'UFU'F'UF (7) F'UF2R'F'R (6) RU2R'F'U2F (6) F'U2LF'L'F2 (6) code: a22x U'RUR'U'RUR' (8) UF'UFRUR' (7) U2RU'BU2B'R' (7) U2FR'F'R2UR' (7) UR2B'R'BU2R' (7) code: b01 UF'UFUF'U2F (8) U'RU2R'URUR' (8) URU2BU2B'R' (7) LD'L'ULDL' (7) U2F'L'U2LU2F (7) BD2B'U2BD2B' (7) code: b01x UF'U'FU'RUR' (8) UF'LF'L'FU'F (8) U2F'U'FR'FRF' (8) U2F'UFURUR' (8) U2F'U'FURU'R' (8) U2F'U'FU2RU2R' (8) code: b02 U'F'UF (4) FR'F'R (4) U2F'U2F (4) code: b02x R'U2R2UR2UR (7) RU'BU2B'U2R' (7) UF'U2FU'RUR' (8) code: b03 R2BUB'U'R2 (6) U2F'L'U'LU2F (7) UF'U'FU2F'UF (8) code: b03x U'RUR'URUR' (8) F2U'L'ULF2 (6) RU'BUB'U2R' (7) F2L2D'L'DL'F2 (7) UF'UFU'RUR' (8) code: b04 RUR' (3) code: b04x F'U'L'U2LU'F (7) R2U2FR2F'U2R2 (7) B'R'U'R2UR'B (7) L'B2R2BR2BL (7) UF'U2FU2F'UF (8) code: b05 U'RU'R'URUR' (8) F'U'F2R'F'R2UR' (8) RBL'BLB2U2R' (8) U'R2DR'URD'R2 (8) FRB'R'F'R2BR2 (8) F'RB'R'FR2BR2 (8) RB'U'R'UR2BR2 (8) U2R2UR'URU2R2 (8) F'UL'UL2F'L'F2 (8) code: b05x F'L'B'UBLF (7) RU'BU'B'U2R' (7) RU'R'U2F'U'F (7) F'U2L'U'LU'F (7) R2B'DB'D'B2R2 (7) code: b11 B'DBU'B'D'B (7) L'D2LU2L'D2L (7) U'F'U2L'U2LF (7) U2RBU2B'U2R' (7) U'RU'R'U'RU2R' (8) code: b11x U'RUR'UF'U'F (8) U'RB'RBR'UR' (8) U2RUR'FR'F'R (8) U2RU'R'U'F'U'F (8) U2RUR'U'F'UF (8) U2RUR'U2F'U2F (8) code: b12 UF'UFU'F'U'F (8) RUR2FRF2U'F (8) F'L'BL'B'L2U2F (8) RU'BU'B2RBR2 (8) UF2D'FU'F'DF2 (8) RF'LFR'F2L'F2 (8) R'F'LFRF2L'F2 (8) F'LUFU'F2L'F2 (8) U2F2U'FU'F'U2F2 (8) code: b12x F'UFU2RUR' (7) RBLU'L'B'R' (7) RU2BUB'UR' (7) F'UL'ULU2F (7) F2LD'LDL2F2 (7) code: b13 F'U'F (3) code: b13x F2U2R'F2RU2F2 (7) BL2F2L'F2L'B' (7) RUBU2B'UR' (7) LFUF2U'FL' (7) U'RU2R'U2RU'R' (8) code: b14 F2L'U'LUF2 (6) U2RBUB'U2R' (7) U'RUR'U2RU'R' (8) code: b14x R2UBU'B'R2 (6) F'UL'U'LU2F (7) R2B2DBD'BR2 (7) code: b15 URU'R' (4) R'FRF' (4) U2RU2R' (4) code: b15x FU2F2U'F2U'F' (7) F'UL'U2LU2F (7) U'RU2R'UF'U'F (8) code: b21 RUR'U'RUR'U'RUR' (11) F2U'F2U'F2U2F2 (7) R2UR2UR2U2R2 (7) U2F'UL'U'LU'F (8) code: b21x F'UFRU2R' (6) RU'R'F'U2F (6) code: b22 F'U2FUF'U'F (7) code: b22x U2R2U2R'U'RU'R2 (8) RURB'R'BU2R' (8) U2F'L'U'L2F'L'F2 (8) code: b23 U'F'U2FU'F'UF (8) U'F'U2F2R'F'R (7) U'F'U'LF'L'F2 (7) code: b23x U2RUR'URU'R' (8) RBU2B'R' (5) U2RUR2FRF' (7) U2RB'RBR2 (6) RBU'B'U'R' (6) code: b24 URU2R'URU'R' (7) URU2R2FRF' (7) URUB'RBR2 (7) code: b24x U2F'U'FU'F'UF (8) F'L'U2LF (5) F'L'ULUF (6) U2F'LF'L'F2 (6) U2F'U'F2R'F'R (7) U2RUR'F'U'F (7) code: b25 RU2R'U'RUR' (7) code: b25x F'U'F'LFL'U2F (8) U2RBUB2RBR2 (8) U2F2U2FUF'UF2 (8)