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Solutions for my 22.00 WR mean (16, 26, 24) at FMC 2019:

1.

Scramble: R' U' F D2 L2 F R2 U2 R2 B D2 L B2 D' B2 L' R' B D2 B U2 L U2 R' U' F

Solution: D2 F' D2 U2 F' L2 D R2 D B2 F L2 R' F' D U' (16 - optimal!)

Spoiler

2.

Scramble: R' U' F D2 L2 B F L2 B D2 F L D R2 U2 B L R2 U' R2 U B U2 R' U' F

Solution: U2 R' L B' R2 B L2 B' R2 B U L2 R' D2 R' D' L' D2 L D B2 F2 R' F' L' R (26)

Spoiler

3.

Scramble: R' U' F U2 R2 D B2 D' R2 B2 L2 F' D R2 B D' R D2 F U2 B' U' R' U' F

Solution: F2 R' D R D2 L2 F2 B2 L F L' B2 L F L' U' R2 B2 L' B' R U R L (24)

Spoiler

A few thoughts.

* I am obviously very happy. I have put a lot of effort in FMC lately (practicing almost every day after hours of math research/classes/teaching is really tiring!). it's nice to see hard work paying of.

* I totally was not expecting this. I thought that it was possible we could never see an official 16, and the mo3 is very low too.

* I am sorry for Mark, he only got to keep his records for a couple of weeks...

EDIT: I explain my solves in this video.

Spoiler

1.

Scramble: R' U' F D2 L2 F R2 U2 R2 B D2 L B2 D' B2 L' R' B D2 B U2 L U2 R' U' F

Solution: D2 F' D2 U2 F' L2 D R2 D B2 F L2 R' F' D U' (16 - optimal!)

I have found a couple of interesting EOs on normal scramble, which looked like they could lead to some nice domino solves. But I decided to switch immediately to check the inverse as well. DR + easy corners = insert right away!

(U D' F R) //EO (4/4)

(L2 F' B2 U' B2 U' * ) //DR (6/10)

(R2 B + F D2) //5e (4/14)

* = U D' F2 D U' # R2 //2e2e (6-2/16)

+ = E2 //Leaves 4x (x = "centers") (2/18)

# = E M2 E' M2 (2)

First solution: D2 F' D2 U2 F' L2 R2 {U' D B2 D B2 U} B2 F L2 R' F' D U' (20)

Replace {U' D B2 D B2 U} with R2 D R2 D, which also cancels 2 with the previous move (-6+4-2)

I don't what to say about this... a really advanced solve with lot of luck involved. I was shaking so much after finding the 16 that I had troubles writing down the first move.

(U D' F R) //EO (4/4)

(L2 F' B2 U' B2 U' * ) //DR (6/10)

(R2 B + F D2) //5e (4/14)

* = U D' F2 D U' # R2 //2e2e (6-2/16)

+ = E2 //Leaves 4x (x = "centers") (2/18)

# = E M2 E' M2 (2)

First solution: D2 F' D2 U2 F' L2 R2 {U' D B2 D B2 U} B2 F L2 R' F' D U' (20)

Replace {U' D B2 D B2 U} with R2 D R2 D, which also cancels 2 with the previous move (-6+4-2)

I don't what to say about this... a really advanced solve with lot of luck involved. I was shaking so much after finding the 16 that I had troubles writing down the first move.

2.

Scramble: R' U' F D2 L2 B F L2 B D2 F L D R2 U2 B L R2 U' R2 U B U2 R' U' F

Solution: U2 R' L B' R2 B L2 B' R2 B U L2 R' D2 R' D' L' D2 L D B2 F2 R' F' L' R (26)

(R' L F) //EO (3/3)

(R F2) U2 //2 squares (3/6)

R' L' * U R2 L2 //223 + pairs (5/11)

R D2 R' //Pseudo F2L-1 (3-1/13)

D' L' D2 L D B2 //3C (6/19)

* = L2 B' R2 B L2 B' R2 B (7)

Kinda unlucky insertion, but this evens out with the kinda lucky insertion on the last solve

(R F2) U2 //2 squares (3/6)

R' L' * U R2 L2 //223 + pairs (5/11)

R D2 R' //Pseudo F2L-1 (3-1/13)

D' L' D2 L D B2 //3C (6/19)

* = L2 B' R2 B L2 B' R2 B (7)

Kinda unlucky insertion, but this evens out with the kinda lucky insertion on the last solve

3.

Scramble: R' U' F U2 R2 D B2 D' R2 B2 L2 F' D R2 B D' R D2 F U2 B' U' R' U' F

Solution: F2 R' D R D2 L2 F2 B2 L F L' B2 L F L' U' R2 B2 L' B' R U R L (24)

(L' R' U' R' B) //EO (5/5)

(L B2) F2 //2 squares (3/8)

(R2 U) //222 (2/10)

(L F2 L' F2 L2) //F2L-1 (5/15)

(D2 R' D' R) //3C (4/19)

Skeleton (on normal): F2 R' D R D2 L2 F2 * L F2 L' U' R2 B2 L' B' R U R L

* = B2 L F L' B2 L F' L' (5)

I have found this quite quickly, but it looks like there should be something better.. I had another 24 as well with a very similar skeleton (same 3 corners left):

(L' R' U' R' B) //EO (5/5)

(L B2) F2 //2 squares (3/8)

(R2 U) //222 (2/10)

(L F2 R F2 R2 D2 L D' R)

(L B2) F2 //2 squares (3/8)

(R2 U) //222 (2/10)

(L F2 L' F2 L2) //F2L-1 (5/15)

(D2 R' D' R) //3C (4/19)

Skeleton (on normal): F2 R' D R D2 L2 F2 * L F2 L' U' R2 B2 L' B' R U R L

* = B2 L F L' B2 L F' L' (5)

I have found this quite quickly, but it looks like there should be something better.. I had another 24 as well with a very similar skeleton (same 3 corners left):

(L' R' U' R' B) //EO (5/5)

(L B2) F2 //2 squares (3/8)

(R2 U) //222 (2/10)

(L F2 R F2 R2 D2 L D' R)

A few thoughts.

* I am obviously very happy. I have put a lot of effort in FMC lately (practicing almost every day after hours of math research/classes/teaching is really tiring!). it's nice to see hard work paying of.

* I totally was not expecting this. I thought that it was possible we could never see an official 16, and the mo3 is very low too.

* I am sorry for Mark, he only got to keep his records for a couple of weeks...

EDIT: I explain my solves in this video.

Last edited: Jun 30, 2019