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E1a) The maximum length of a solution is 80 (moves and rotations).
E2d) The metric to measure the length of the solution, is Half Turn Metric.

Half Turn Metric (HTM) is defined as:

* 12a17) Each move of the categories Face Moves and Double Outer Slice Moves is counted as 1 move.
* 12a18) Each move of the categories Inner Slice Moves and Middle Slice Moves is counted as 2 moves.
* 12a19) Each rotation is counted as 0 moves.

But it is better to do the solve without cube rotations. It is easier to see insertions and cancellations.

EDIT: Sorry, I forgot to say: don't try the scramble if you haven't done weekly comp-44 yet and wish to still do it.

Spoiler

Scramble: L' R2 B F L D' R2 F L B' D2 R2 B L U F D2 F'
Solve: B' D2 L2 F' L F L2 U2 z2 U2 R2 F2 y U2 F' U' R U R2 F' R F' R U B U' B' U' L U2 R' U R U2 R' L' U2

B' D2 L2 F' L F L2 U2 (2x2x2) [8/8]
z2 U2 R2 F2 (2x2x3 + DF edge) [3/11]
y U2 F' U' R U R2 F' R F' (finish F2L) [9/20]
R U B U' B' R' (OLL) [5/25] R U' L U2 R' U R U2 R' L' U2 (PLL) [10/35]
The bold moves cancel.

Could anyone experienced please say what could be done better? I know, the 2x2x2 block was not good but it made a 2x3x3 very easy.

Scramble: L' R2 B F L D' R2 F L B' D2 R2 B L U F D2 F'
Solve: B' D2 L2 F' L F L2 U2 z2 U2 R2 F2 y U2 F' U' R U R2 F' R F' R U B U' B' U' L U2 R' U R U2 R' L' U2

B' D2 L2 F' L F L2 U2 (2x2x2) [8/8]
z2 U2 R2 F2 (2x2x3 + DF edge) [3/11]
y U2 F' U' R U R2 F' R F' (finish F2L) [9/20]
R U B U' B' R' (OLL) [5/25] R U' L U2 R' U R U2 R' L' U2 (PLL) [10/35]
The bold moves cancel.

Could anyone experienced please say what could be done better? I know, the 2x2x2 block was not good but it made a 2x3x3 very easy.

Hm, you're right. I should have waited to ask until the competition is over. THANKS j´ey
I now made it clear in my post that it's the weeklycomp-44 scramble.

EDIT: Sorry, I forgot to say: don't try the scramble if you haven't done weekly comp-44 yet and wish to still do it.

Spoiler

Scramble: L' R2 B F L D' R2 F L B' D2 R2 B L U F D2 F'
Solve: B' D2 L2 F' L F L2 U2 z2 U2 R2 F2 y U2 F' U' R U R2 F' R F' R U B U' B' U' L U2 R' U R U2 R' L' U2

B' D2 L2 F' L F L2 U2 (2x2x2) [8/8]
z2 U2 R2 F2 (2x2x3 + DF edge) [3/11]
y U2 F' U' R U R2 F' R F' (finish F2L) [9/20]
R U B U' B' R' (OLL) [5/25] R U' L U2 R' U R U2 R' L' U2 (PLL) [10/35]
The bold moves cancel.

Could anyone experienced please say what could be done better? I know, the 2x2x2 block was not good but it made a 2x3x3 very easy.

R' F R L' D2 B' 2x2x2 6 - 6
L B L2 B2 U B U' 2x2x3 7 - 13
Instead of doing EO I saw the following opportunity to almost finish F2L:
zy' U' R' B U B' F2L - 1 edge 5 - 18
But how to turn this into a good ending?

Fixing the last slot with LL edges oriented takes me about 7 moves, but then I still need Asune and a G-perm so I end up around 45 HTM.

Can you please give me some pointers or examples on how to finish this "F2L - 1edge" in a proper way?

R' F R L' D2 B' 2x2x2 6 - 6
L B L2 B2 U B U' 2x2x3 7 - 13
Instead of doing EO I saw the following opportunity to almost finish F2L:
zy' U' R' B U B' F2L - 1 edge 5 - 18
But how to turn this into a good ending?

Fixing the last slot with LL edges oriented takes me about 7 moves, but then I still need Asune and a G-perm so I end up around 45 HTM.

Can you please give me some pointers or examples on how to finish this "F2L - 1edge" in a proper way?

2x2x2 block: R' F R L' D2 B'
2x2x3 block: L B L2 B2 U B U'
F2L minus 1 slot: L' F' U L U'

Consider the inverse scramble with the following pre-scramble.

Turn pre-scramble: U L' U' F L U B' U' B2 L2 B' L' B D2 L R' F' R (inverse of your start)
Inverse scramble: F D2 F' U' L' B' R2 D2 B L' F' R2 D L' F' B' R2 L

F2L minus 1 slot: (done)
Orient edges + pair: L F L' F'
Finish F2L: L2 D' L2 D
OLL: U L2 U2 L' U2 L' U2 L2 U

Inverse of the moves above is what you want.

(Final solution)
2x2x2 block: R' F R L' D2 B'
2x2x3 block: L B L2 B2 U B U'
F2L minus 1 slot: L' F' U L U'
Solve all: U' L2 U2 L U2 L U2 L2 U' D' L2 D L2 F L F' L'

results in 34 moves. This technique is what is called "NISS".

Not only have you nicely finshed my F2L, you have given a very clear example of NISS too.
At first sight the inverted moves didn't seem to give a fundamentally different cube but the result was indeed much better.

But isn't this solution quite lucky with the PLL skip?
I understand that exploring more endings gives a larger chance of a skip but still...

Not only have you nicely finshed my F2L, you have given a very clear example of NISS too.
At first sight the inverted moves didn't seem to give a fundamentally different cube but the result was indeed much better.

But isn't this solution quite lucky with the PLL skip?
I understand that exploring more endings gives a larger chance of a skip but still...

Wow! That was a "better than free" insertion in Weekly Comp 2010-21. I haven't followed the weekly comp much lately, so I wasn't aware that you were already in the free insertion club.

I'm not aware of anyone besides the two of us who are members of the free insertion club. My free insertion was in Fewest Moves Challenge #224, after which I started this thread in the Yahoo FMC group.