29.33 Official Mean of 3 by Prakhar Gupta @ Delhi Autumn Open 2015

Moves in () are on inverse.

Scramble #1
R2 D2 B2 F2 R’ U2 R U F’ L B’ F D’ R2 B L2 D L’

Solution:
F’ U F’ R * L U’ L2 // 2x2x2(7/7)
D’ R D2 F’ D // 2x2x3 almost(5/12)
F2 D’ F’ D R D2 R D R’ D R // L3E(11/23)
Insert at *: R2 D’ F’ B R2 F B’ D’ R2 (8/31)
1 move cancel

Final Solution: F’ U F’ R’ D’ F’ B R2 F B’ D’ R2 L U’ L2 D’ R D2 F’ D F2 D’ F’ D R D2 R D R’ D R (31 OBTM)

Scramble #2
D’ R’ F2 R2 B’ D’ L2 F2 D F’ U’ R U2 L U2 D2 R’ F2 D2 L’

Solution:
F’ R’ L U B // 2x2x2 (5/5)
R F2 R’ F’ R2 // 2x2x3 (5/10)
(D’ R’ D R L’ F L D F’ D’ F) // F2L (11/21)
(L D L B’ L’ B D’ L’ D2) // LL (9/30)

Final Solution: F’ R’ L U B R F2 R’ F’ R2 D2 L D B’ L B L’ D’ L’ F’ D F D’ L’ F’ L R’ D’ R D (30 OBTM)

Scramble #3
L2 U’ B2 D’ F’ R’ U’ F R B’ L’ F2 B2 R D2 R L2 D2 L’

Solution:
F2 L’ F2 R’ B2 D’ //2x2x2 (6/6)
F2 R2 F R2 U F2 L’ * U L R // F2L-1 (10/16)
(U B U’ B2 R B R’ U’) // L3C (8/24)
Insert at *: L’ U R U’ L U R’ U’ (3/27)
5 moves cancel

Final Solution: F2 L’ F2 R’ B2 D’ F2 R2 F R2 U F2 L2 U R U’ L U L U R B’ R’ B2 U B’ U’ (27 OBTM)

27 HTM Official Solve by Tomoaki Okayama @ Cube Camp in Kanazawa 2014

Scramble: D2 U2 B’ F’ R2 F’ L2 F D L F R’ F’ L2 F U2 L’ B2 F2
Solution: L’ U’ L D2 L’ U L U’ B’ D’ L U L’ B’ L B’ L U B U’ B’ L D U2 L’ U2 L2

Explanation:

Here is my 30 min backup solution (31 moves).

Pre-scramble: F R’

3 c/e pairs: U’
c/e pair: L’
2x2x1 block: F
2x2x2 block: L B’ L
More square: U R F2 R2
More square: U2 F
Finish Pseudo F2L: U B
All but 3 corners: L’ U’ B’ U B L
Correct pseudoness: B’ * R’
Premoves correction: F R’

Insert at *: B’ D’ B U2 B’ D B U2

In the remaining time, I found the following solution.

(Normal)

3 c/e pairs: U’
Pseudo 2x2x2 block: D2 B’ D’

(Inverse)
Pre-scramble: D B D2 U

More square: L2 U2 L
Pseudo 2x2x3 block: U2 D’
Pseudo F2L minus 1 slot: L2

(Normal)
Pre-scramble: L2 D U2 L’ U2 L2

1st square: U’
F2L minus 1 slot: D2 B’ D’ L U
Finish F2L: L’ B’ L
All but 3 corners: B’ L U B U’ B’ L’
Correction: L2 D U2 L’ U2 L2

Insert at the beginning: L’ U’ L D2 L’ U L D2

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