For anyone crazy enough, I've reconstructed the order of the cubes in my attempt:
1. F2 R2 B' R2 U2 B' L2 D2 F' U L B D' U' L' B F' L' F'
2. L D2 L' U2 L' B2 L2 U' B2 R2 D' F2 R' F' R U' L' U'
3. R2 U' F2 D' L2 U2 B2 L2 F' U' L2 U2 L' D2 R' F U2 B2 F2 D'
4. F2 L2 D U' L2 D' B U F2 D B L F' R2 U L2 B L2 D'
5. L R2 U2 F2 L' F2 L' F2 D' B' L R' F D R2 D F D2 U
6. F2 U L2 R2 D' R D2 U2 B L2 D2 L' R U' B R2 D B2
7. F U2 R2 D2 R2 F D' U' B D2 L F' L2 U2 F D B2 U
8. L2 D U2 L2 U' L' B L D L2 U' B2 R2 U2 B' L2 U'
9. R2 F2 U2 L' F2 R2 U' B2 R D L' U' R2 F U B U2 L' U
10. B2 U2 R F2 D2 L' R' U' B2 L F' R' F2 R' F2 D' U' B
11. U2 R B2 L2 U2 B2 R' D' R' D2 F D B' F' U' B D2 R B
12. D' B2 D F2 D' U R B F' L U' F L B2 L2 U L2 R D2
13. F2 L2 D U2 R2 D B2 L2 F R' F' R2 B2 D2 L D' U L2 B
14. U B2 D2 F2 D2 L' F' R D B F2 R F' D F2 D B2 L' U2
15. D B2 R2 B2 L2 U' F2 R' D L U' R' B L B2 U B2 D2 R'
16. D2 B2 D2 R' B2 R' B F' L' R' U' B2 L R2 D2 F2 R' F U'
17. L2 U B2 R2 U' R2 D F D2 B L' R B' U L U R U2 L
Mike Hughey had scrambles 3, 4, 5, 6, 9, 10, 11, 14, 15, and 16 in some other random order.
This was my entire solution:
1. F2 R2 B' R2 U2 B' L2 D2 F' U L B D' U' L' B F' L' F'
2. L D2 L' U2 L' B2 L2 U' B2 R2 D' F2 R' F' R U' L' U'
3. R2 U' F2 D' L2 U2 B2 L2 F' U' L2 U2 L' D2 R' F U2 B2 F2 D'
4. F2 L2 D U' L2 D' B U F2 D B L F' R2 U L2 B L2 D'
5. L R2 U2 F2 L' F2 L' F2 D' B' L R' F D R2 D F D2 U
6. F2 U L2 R2 D' R D2 U2 B L2 D2 L' R U' B R2 D B2
7. F U2 R2 D2 R2 F D' U' B D2 L F' L2 U2 F D B2 U
8. L2 D U2 L2 U' L' B L D L2 U' B2 R2 U2 B' L2 U'
9. R2 F2 U2 L' F2 R2 U' B2 R D L' U' R2 F U B U2 L' U
10. B2 U2 R F2 D2 L' R' U' B2 L F' R' F2 R' F2 D' U' B
11. U2 R B2 L2 U2 B2 R' D' R' D2 F D B' F' U' B D2 R B
12. D' B2 D F2 D' U R B F' L U' F L B2 L2 U L2 R D2
13. F2 L2 D U2 R2 D B2 L2 F R' F' R2 B2 D2 L D' U L2 B
14. U B2 D2 F2 D2 L' F' R D B F2 R F' D F2 D B2 L' U2
15. D B2 R2 B2 L2 U' F2 R' D L U' R' B L B2 U B2 D2 R'
16. D2 B2 D2 R' B2 R' B F' L' R' U' B2 L R2 D2 F2 R' F U'
17. L2 U B2 R2 U' R2 D F D2 B L' R B' U L U R U2 L
Mike Hughey had scrambles 3, 4, 5, 6, 9, 10, 11, 14, 15, and 16 in some other random order.
This was my entire solution:
1. Memorize cubes 1 through 6, strong refresh.
2. Memorize cubes 7 through 11, strong refresh.
3. Memorize cubes 12 through 16, weak refresh.
4. Solve last cube like normal BLD (M2+3OP).
5. Solve cubes 12 through 16, in that order.
6. Solve cubes 7 through 11, in that order.
7. Solve cubes 1 through 6, in that order.
A strong refresh goes something like this: Recall edges for cube 1 to ensure that I don't draw any blanks, go through edges on cube 1 to ensure memo was correct, do the same for corners, move on to cube 2, and so on. Since I'm going through every cube twice for cubes 1 through 11, I don't really go for security or accuracy of memo the first time, so I kinda scan through the cubes relatively quickly (about 1:15 per cube).
A weak refresh is just going through memo to make sure I don't draw any blanks, without going through the cubes again. So if I mismemorized a letter or overlooked a twisted corner, I won't be able to detect it with weak refresh. That's why I go through cubes 12 through 16 a little more slowly and carefully than the rest (about 1:45 per cube).
I found these scrambles really, really difficult. I didn't like them at all. A "nice" BLD solve has 10 or 11 letters for edges and 6 or 7 letters for corners. My memorization for this attempt averaged 12.1 for edges and 7.9 for corners (yeah, I counted).
I messed up cubes 5 and 16. Cube 5 was a recollection error, so I ended up with three twisted corners. Cube 16 was an execution mistake, so I ended up with a 4-cycle of edges and a 4-cycle of corners.
1. LUVJMB EDKPWHP / CFPI OUJ
2. VEKCNH AJAOWUP / MDAU GBPKP
3. TDIOUF NVBNKL / GOTJ CRFF
4. LPAUCV JGMGEFWT / HVPN LCFF
5. WMIVUA PKFCGH / NHPK VFCC
6. JPFBHW NKUDS / HBV + "shape" of 3 misoriented corners
7. EVIBRK GCPTMN / JGUDOR
8. GJNCAK WVUPU / RADKTOC
9. BKUCEJ MWHPKVS / LMREA + z Sune z'
10. VGAFNR IPLWK / CRFG NJH
11. CHAUTM VELI / ADSG UJMA
12. ONWRSK GCIFDAB / VODAIRAKK
13. GIVWKC EBNJUPU / AMIDVEPLS
14. WOLCUM EJBHCSV / UMJSGEE
15. WLUJGV MPADG / TARADLMHE
16. JODATF HMLUS / NDPTHBB
17. MWEORL BSCHC / 3OP corners
I didn't reconstruct these from the scrambles - I still remember all of it
2. Memorize cubes 7 through 11, strong refresh.
3. Memorize cubes 12 through 16, weak refresh.
4. Solve last cube like normal BLD (M2+3OP).
5. Solve cubes 12 through 16, in that order.
6. Solve cubes 7 through 11, in that order.
7. Solve cubes 1 through 6, in that order.
A strong refresh goes something like this: Recall edges for cube 1 to ensure that I don't draw any blanks, go through edges on cube 1 to ensure memo was correct, do the same for corners, move on to cube 2, and so on. Since I'm going through every cube twice for cubes 1 through 11, I don't really go for security or accuracy of memo the first time, so I kinda scan through the cubes relatively quickly (about 1:15 per cube).
A weak refresh is just going through memo to make sure I don't draw any blanks, without going through the cubes again. So if I mismemorized a letter or overlooked a twisted corner, I won't be able to detect it with weak refresh. That's why I go through cubes 12 through 16 a little more slowly and carefully than the rest (about 1:45 per cube).
I found these scrambles really, really difficult. I didn't like them at all. A "nice" BLD solve has 10 or 11 letters for edges and 6 or 7 letters for corners. My memorization for this attempt averaged 12.1 for edges and 7.9 for corners (yeah, I counted).
I messed up cubes 5 and 16. Cube 5 was a recollection error, so I ended up with three twisted corners. Cube 16 was an execution mistake, so I ended up with a 4-cycle of edges and a 4-cycle of corners.
1. LUVJMB EDKPWHP / CFPI OUJ
2. VEKCNH AJAOWUP / MDAU GBPKP
3. TDIOUF NVBNKL / GOTJ CRFF
4. LPAUCV JGMGEFWT / HVPN LCFF
5. WMIVUA PKFCGH / NHPK VFCC
6. JPFBHW NKUDS / HBV + "shape" of 3 misoriented corners
7. EVIBRK GCPTMN / JGUDOR
8. GJNCAK WVUPU / RADKTOC
9. BKUCEJ MWHPKVS / LMREA + z Sune z'
10. VGAFNR IPLWK / CRFG NJH
11. CHAUTM VELI / ADSG UJMA
12. ONWRSK GCIFDAB / VODAIRAKK
13. GIVWKC EBNJUPU / AMIDVEPLS
14. WOLCUM EJBHCSV / UMJSGEE
15. WLUJGV MPADG / TARADLMHE
16. JODATF HMLUS / NDPTHBB
17. MWEORL BSCHC / 3OP corners
I didn't reconstruct these from the scrambles - I still remember all of it