3 Solutions 1 Scramble by Sebastiano Tronto

From fmc.mustcube.net round #423, no time limit
Scramble: L B’ F D’ R U’ R2 B D’ U’ B U D2 L2 D2 L’ D L B2 F D U2 L2 R2 B D’ L2 D2 U2 L
Solution 1: U2 R U2 L2 F’ U’ F’ U F R2 L’ U2 D F U2 F’ D’ F U’ F’ L F’ L B’ L F L’ B U’ (29 HTM)
Explanation:
Premove: U’
U2 R U2 //2x2x1 + pair (3/3)
L2 F’ U’ F’ U F R2 //Pseudo F2L-1, found premove U’ (7/10)
L’ U2 F * U F’ //EO + 2 pairs (5/15)
L F’ L B’ L F L’ B //All but 3 corners (8/23)
U’ //Undo premove (1/24)
* = F’ D F U2 F’ D’ F U2 //3 corners, 3 moves cancel (5/29)

Comment:
An example of Heise-style skeleton, continuing with EO right after the F2L-1 step.

 

Solution 2: U2 R U R U L2 U’ R’ U F’ U’ F’ U F R2 L2 B L2 B L’ F’ L B2 L’ F L2 B’ U B U (30 HTM)

Explanation:
U2 R U2 * L2 F’ U’ F’ U F R2 //Pseudo F2L-1, same as before (10/10)
L2 B L2 B’ + L B’ U B U //All but 5 corners(9/19)
* = U’ R U L2 U’ R’ U L2 //3 corners, 3 moves cancel (5/24)
+ = B2 L’ F’ L B2 L’ F L //3 corners, 2 moves cancel (6/30)

Comment:
Same start as before, but this time I continued differently, and left 5 corners (2 3-cycle insertions needed) instead of 3. Before finding the the insertions, there was no way to determine which skeleton was better.

 

Solution 3: U2 D R U R’ D’ R U2 L2 U’ R’ L F L’ F’ L’ R’ B2 D’ B’ D B’ L2 B L B’ U2 (27 HTM)

Explanation: (with the NISS notation explained here)
U2 R U’ L U’ //2x2x1 + 3 Pairs (5/5)
(U2) //3x2x1 (1/6)
(B L’ B’ L2 B D’ B D B2 R2) //All but 3 edges and 3 corners (10/16)
Final Skeleton (on normal scramble):
U2 R * U’ L U’ + R2 B2 D’ B’ D B’ L2 B L B’ U2
* = R’ D R U R’ D’ R U’ //3 corners, 3 moves cancel (5/21)
+ = U L U’ R’ L F L’ F’ L’ R //3 edges, 4 moves cancel (6/27)

Comment:
Here I decided to go for a slightly different beginning and switch to inverse scramble (Using NISS); the skeleton is interesting because it’s different from the standard Blocks->F2L-1->All but a few pieces.

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