Kube Exploring Kompetition (knowledge quiz with prizes)

I'm pleased to anounce the results of a Kompetition.

Thank you to all who participated. Thank you, thank you, thank you, thank you, thank you, thank you :)
Even if I hoped for a bigger participation I am still very happy with the quality of the submitted entries.

As expected the winner was decided in the last 3 500-point problems. Two contenders for the first place gave equally good answers to all except for the 500 points problems.
Most competitors gave very similar quality answers for all 100 points problems.

Let's look into some more interesting problems from the competition.

LL incompatibility:
Most competitoris came up with a regular cross case OLL "R U2 R2 U R2 U R2 U2", but xxyzzy come up with something very creative and claimed 200 for this problem with 7-mover "y2 L' U R U' L U R" while all other major competitors presented 9 move solutions.

CFOP / petrus nemesis:

Both problems had an answer scramble which required 8 moves to solve any cross or Petrus block respectively. The answer was not surprisingly some variation of super-flip.
Two people (Tipster and General) found 8 move solution for a CFOP nemesis with Tipster Trickster showing the shorter solution. WOW baby was the only one to find a 8 move scramble for Petrus Nemesis.

At this point Tipster Trickster had a very slight lead over WOW Baby because of his short 7-move Petrus Nemesis. But the margin between those two was very tiny and Lotto was meant to be decisive problem.

The deciding scrambles were 7 and 14 which had god number 12 and 14 respectively.
Tipster gave them both 18 while WOW Baby guessed 12 for both scrambles.

WOW Baby is the winner of a Kompetition. By claiming (4th, 1st, 1st) places in 500 points problems he got just a tiny bit ahead of Tipster who got (1st, 2nd, 2nd).
xxyzzy was in the lead after 200 points problems and came third by claiming 3x 3rd place in 500 point problems.

Congrats! I present the solutions of a winner in case I missed something. If there are no protests I will be shipping winning prize to the WoW baby :)

1) B2 F2 D R2 D2 R2 F2 D' B2 U2 F2 U' B' U' L U2 F' R' B D' B L' (18)
2) R2 D F2 D B2 L2 D' F2 L2 R2 U R2 U' B' R2 F R F' D L F D2 (20)
3) R' U' L' B2 U F' R U L U' F2 L2 U L2 U' R2 D F2 D R2 D L2 (14)
4) D2 R B2 R B2 F2 D2 F2 L B2 R' D2 U' R' D F' D R2 U B' F R2 (16)
5) L2 F2 R B2 D2 L2 U2 F2 R' U2 L' D L' R B F2 R' D' B (17)
6) L' F2 D2 F2 D2 R D2 F2 L2 D2 L' B R2 F' R' D' U' B F' U F' R (19)
7) L2 F L2 D2 B2 R2 B' D2 B U F2 L2 D R F2 D L' B F U' (12)
8) F' U2 F' U2 F' U2 L2 F' D2 U2 R2 B' L2 F2 R' F2 U L' D' B2 U R U' R' (13)
9) F2 R U2 R' B2 R B2 F2 U2 B2 R' D2 R B' R' F2 D U B D2 R2 D L2 F2 U' B2 U2 R2 U' L2 B' (6)
10) R' U2 L F2 L' U2 R' D2 R F2 U2 R B L' U L2 R' F' U' R' F R2 (17)
11) R U2 B2 F D' U' D U R F D2 B F2 (9)
12) B2 U2 L2 R2 U' B2 U' F2 D' R2 F2 D2 U' F' L D2 F D' B2 R' U2 B (15)
13) B2 L2 F2 U2 L2 F2 U2 F D2 F L B' R D' F' L' U R2 B D F (20)
14) U2 R2 F2 U' R2 F2 B L D' R U2 B2 L2 F2 R2 U' F2 U L2 U' F2 D' (14)

10) R F' R U2 L' B L U2 R2 F
11) D B2 U D' R2 U'
12) F2 U B U' F2 U B' U'
13) R F2 L' F2 L F2 R' F2
14) U
15) No
16) No
20.A) No
20.E) No
20.F) No
20.G) No
20.H) Yes, R2 U2 R U2 R2 U2 R2 U2 R U2 R2
20.J) No
20.N) No
20.R) No
20.T) No
20.U) Yes, R2 U R U R' U' R' U' R' U R'
20.V) No
20.Y) No
20.Z) Yes, R2 U R2 U R U2 R2 U2 R2 U2 R U' R2 U' R2
21) U L F R' F' L' F R F'
50.1) 18
50.2) 17
50.3) 17
50.4) 17
50.5) 18
50.6) 18
50.7) 12
50.8) 12
50.9) 6
50.10) 17
50.11) 9
50.12) 17
50.13) 18
50.14) 12
51) B R L F U' D' B D' L F2 U2 L2 U' R2 U' D L2 U' R2 D2 R2 U2 L U F2 U' F2 U' D2 B2 D
52) B R F D' L' U' B R' U2 L' U2 L' B2 U2 F2 D' R2 D' L2 D L2 D' F' B U R2 F2 B2 L2 D' F' B
 
Wooaaahhhh what??? There’s no way I won!

I was not expecting this!! :eek:

@xxyzzy Nice job finding a 7 move solution to the LL Compatibility problem! I totally forgot about rotations so I got 9 moves but I could have gotten lower if I used rotations, because, like yours, mine was actually just a 3 corner commutator but without/plus a move; but oh well the competition is over too late now haha.
Good job on that one @xxyzzy !! :D

Hmmm, I seem to have failed the CFOP nemesis problem?? That confuses me... My sequence brought it to the Checkerboard + Superflip state which is symmetrical and 8 moves for every cross, but I guess I messed up in writing down my solution down or something? Darn, I maybe I should’ve doubled checked that one. I’m a bit disappointed in myself.
Too late now, I suppose.
I’ll be okay with 4th place on that one.

I like how am I referred to as “WOW baby”. It makes me laugh xd. It’s WoowyBaby, but I find it pretty silly so I don’t mind.
‘WOW baby found this and WOW baby did this’ Haha, funny :p

@CuberStache you’re right about not normal optimal distribution, that is what I realized once I noticed that one of the scrambles could just be reduced down to 9 just by removing moves. I now treated this set as completely picked out by a human.
Then, I found the 6 move optimal solution on one of the scrambles, and in total I believe I found 3 or so of the optimals by hand. I was tempted to just guess 17 or 18 for the rest of them, so I did for the most part, but put in 12 for a couple just because I knew that it was a human chosen set so some will be unusually low, and I got very very lucky with those.

For the final two, CFOP nemesis and Petrus nemesis, I was totally going to resubmit a much short solution for getting to those states.
I did a super quick FMC of like 5 minutes each so I had sequences of 31 and 32 moves, but from what I read it actually did not matter in the end if I FMC-ed them further to 25 moves, or even 20.

That was a big risk I made, but I’m glad it didn’t cost me in the end. :)

@kubesolver Thank you for hosting this amazing online Kompetition!
I found it very new and exciting and I really appreciate the effort you put into making this!
Even if there was no prize it would definitely still be a great experience (But I’m not saying I don't appreciate this prize, I really do)

Thank you so much for this wonderful Kompetition!
 
@CuberStache you’re right about not normal optimal distribution, that is what I realized once I noticed that one of the scrambles could just be reduced down to 9 just by removing moves. I now treated this set as completely picked out by a human.
Then, I found the 6 move optimal solution on one of the scrambles, and in total I believe I found 3 or so of the optimals by hand. I was tempted to just guess 17 or 18 for the rest of them, so I did for the most part, but put in 12 for a couple just because I knew that it was a human chosen set so some will be unusually low, and I got very very lucky with those.
I didn't find the 6-move solution lol I felt so dumb
 
Dang nice job @WoowyBaby! I pretty much just guessed 18 for most of the scrambles, and then tried finding easy solutions for the easy looking scrambles lol.
Yeah, in hindsight, guessing that it was 17 or 18 for everything was a bad strategy given that a human picked the scrambles. It should have been obvious that it wasn't going to be a normal distribution.
Oh same, I guessed 17 for most of them, but I also guessed 16 for two of them (#8 and #10) because those had easy-looking blocks lol. (Just in case, I also did linear FMC solves on all of the scrambles, but besides the 6-mover and the 9-mover, they were all in the 30-45 range which obviously is way too large.)
 
@WoowyBaby I promise I won't mistype your name. I'm sorry I was lazy and didn't do this correction in the text.
Those who participated. Which kind of problems would you like to see more in the future Kompetition 2?
No GN questions and more questions like 21 where it's not too difficult, but still very complex.
 
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