# 31.33 Mo3 NAR by Evan Liu @Nottingham Summer 2014

Scramble #1: B R2 L2 F R’ L’ U2 B U’ D’ R D2 L2 U’ F2 U’ L2 U
Solution #1: B R’ U L F L2 F’ R’ B L’ D L R U L2 U’ R’ U L2 U’ D R B R’ B’ R D2 R’ D’ R2 (30 HTM)

Explanation #1:
2x2x2: B R’ U L F L2 F’ (7/7)
2x2x3 + Pair: R’ B L’ D L (5/12)

Switch to inverse with premoves L’ D’ L B’ R F L2 F’ L’ U’ R B’

F2L-1: R2 D R D2 R’ D’ (6/18)
L3C: D B R B’ R’ D’ (6-2/22)
Finish: U L2 U’ R U L2 U’ R’ (8/30)

Comment #1:
I found this with <5 minutes left, and couldn’t find any cancellations within the remaining time. IF says 27 moves was optimal for my skeleton.

Scramble #2: R B R D L2 U’ B U D’ L’ F’ B2 U2 R2 U R2 F2 U2 R2 U’
Solution #2: L’ F2 L F’ U2 B U F U’ B’ U F2 L F U B’ U R B’ R’ B’ R2 U2 B’ R’ B R’ D R’ U R D’ U’ (33 HTM)

Explanation #2:
2x2x2: L’ F2 L F’ U’ # F’ L F (8/8)
2x2x3: U B’ U R B’ R’ B’ (7/15)
F2L-1: R2 U2 (2/17)
L4C: B’ R’ B R2 U R * U’ (7/24)
Insert at *: R’ U’ R D R’ U R D’ (8-5/27)
Insert at #: U’ B U F U’ B’ U F’ (8-2/33)

Comment #2:
IF confirms 33 moves was optimal for my skeleton.

Scramble #3: D2 U2 B’ R2 B’ U2 B’ U2 F’ D’ B R D’ L2 F L’ R F’ L’
Solution #3: L F D’ L R’ D’ F R F D’ R2 D’ R’ D R D’ B R’ B R D2 R D2 R’ B2 D’ R D’ R’ D F (31 HTM)

Explanation #3:
(Premove: F)
2x2x2: L F D’ L (4/4)
2x2x3: R’ D’ F R F (5/9)
F2L-1: D’ R2 D’ R’ D R (6/15)
F2L + EO: D’ B R’ B’ R (5/20)
LL: R’ B2 R D2 R D2 R’ B2 D’ R D’ R’ D (13-3/30)
Undo Premove: F (1/31)

Comment #3:
I found this within 10 minutes, the first of three 31-move solutions I found. Couldn’t improve upon that, unfortunately.