The Permutation of Desolation

[falkor2k15]

What route would a killer permutation take in order to have the best chance of assassinating Dyksexlic, Reddwarf and Priyanka in one fell swoop? Considering we've already put our money into the games machine, how could we possibly stop this from happening the moment the act is about to be committed - or even whilst the killer is still on route prior to arriving at the scene?

Firstly, the unique ECs would all have to show without a repeat:

Low > High
Black > Red
Even > Odd

If there was a repeat on Even or High (2 to 4 or 19 > 25) then that might give Priyanka a chance to live another day.

Secondly, the dozens and columns would need to also present a deadlock situation for Dyksexlic:


Next, the quads have to give up all their uniques without a repeat, so Reddwarf will be knocked out cold:


The ball would then have to bounce in such a way as to cover all the lines without a repeat either, so everyone is then lined up for the kill:


Next is a similar dance to fill up the streets - where gunshots will soon be heard by all:


And finally, onto the splits (hung, drawn and quartered?) without a single repeat of any kind throughout this entire permutation, leaving only 10-15 unique numbers:

Here, however, Random has no choice but to forfeit a repeat on the Straight Up numbers - by brick design - so the trio are now faced with an opportunity to escape through a hole in the wall providing they avoided being split! But should the first recorded repeat be on the straights then it's game over - you will be out of quarters! 

Nevertheless, despite this being the toughest permutation that killer Random could possibly throw at us, there are some distinct weakness that can be spotted if we play detective, looking for a potential tell-tale sign that could avoid all such attempts at assassination:
*The splits here poses somewhat of a problem for Random because the single-hits need to be evenly spaced out and overlapping the bare minimum number of splits to cause the earliest possible deadlock situation. Should the numbers be too clustered tightly together then this would open up more unique splits for the player, with more available spins for a repeat ahead of a late deadlock that might not come. However, it's probably impossible to cover the splits evenly in such a way that it doesn't cause an early repeat on the lines or the streets.
*Upon reaching the splits with no prior repeats on the larger groups, it would also be impossible to avoid a 2nd repeat on some of those that were deadlocked on the first repeat.

Avoiding the zero is in Random's best interest, as that would otherwise give the player who is attacking these official groups, less chance of a boost, since you'd be an idiot to leave the zero uncovered! Next, I'll be covering some less obvious weaknesses that occurred much earlier in this game to reaching the splits stage, and how we could potentially retain quarters by trapping Mr. Random in the corner - more professionally than Street Fighter II's champion, Daigo Umehara!

[falkor2k15]

The Corners present us with an interesting opportunity for a counter-attack. It's impossible for Mr. Random to permutate them in a way that doesn't forfeit a repeat of some kind. The best possible arrangement would be a Cycle Length 6 deadlock situation, where they are evenly spaced:

However, to get this perfect arrangement would mean forfeiting a repeat on the 2nd column and either high/low or even/odd.

Let's say Mr. Random wanted to avoid giving us the satisfaction of a columns/EC repeat, he-she could use 7 corners (instead of 6) for a CL7 deadlock:

But here, again, a repeat has instead been forfeited on a dozen, quad, line and street!

An alternative 7 corner arrangement still requires a repeat on a dozen, line and quad, at least:



In fact, it seems only a 12 corner arrangement minimum could avoid forfeiting some kind of repeat on a larger group:

Could you avoid all official repeats and still arrive at less than 12 corners?

The best corners arrangement is also the best lines arrangement:

Don't forget that we can use the "in-between lines", so the moment Mr. Random hits them back-to-back brings forth an extra opportunity to catch the repeat.

Finally, I leave you with a paradox. Let's return to the Quads stage of the killer permutation. Here, all repeats were successfully avoided -
High, Low, Even, Odd, Red, Black, Dozens, Columns, Quads - none of them were given an opportunity to repeat without first presenting a deadlock situation:

But let's say we split this into 2 trials over 4 spins:
Trial 1: High then Low (2 spins in total)
Trial 2: High then Low (2 spins in total)

Here we had a repeat on "High then Low"! So, thanks to Dyksexlic, Reddwarf and Priyanka, there exists a way to stop Random in it's tracks - we just need to figure out how to do it by trapping him in the corner or using multiple-spin events or those stitched together on the same spin. Mr. Random also projects a positions stream - his alter ego; if we don't get a repeat on him then we can at least get a repeat on his shadow instead (or some other self-defined stream if not on a 2nd repeat attempt following a deadlock). We just need to avoid 25 unique numbers - or positively parachute there by bouncing off previous repeats.

[praline]

Can "The Permutation of Desolation" be translated as "Please, give me some attention!"?

So, thanks to Dyksexlic, Reddwarf and Priyanka

PRIYANKA!!!!!!! How could you do this to us - your fans who believed in you?? HOW COULD YOU??? Steve warned us and we did not listen... it was only because some of Reddwarf's lyrics had entered Priyanka vocab that we were thrown off - some stuff seemed legit yet a lot of stuff just didn't make any sense and is clearly proven wrong as per Deficit Recovery.

Schizophrenia is a mental disorder characterized by abnormal social behavior and failure to understand what is real. Common symptoms include false beliefs, unclear or confused thinking, hearing voices that others do not hear, reduced social engagement and emotional expression, and a lack of motivation.


Im a bit unsure about "hearing voices "....

[falkor2k15]

Can "The Permutation of Desolation" be translated as "Please, give me some attention!"?

Schizophrenia is a mental disorder characterized by abnormal social behavior and failure to understand what is real. Common symptoms include false beliefs, unclear or confused thinking, hearing voices that others do not hear, reduced social engagement and emotional expression, and a lack of motivation.


Im a bit unsure about "hearing voices "....

I don't get it. How do those quotes equate to a mental disorder? Priyanka has done good and bad. What condition causes somebody to plagiarize without giving credit? All the incriminating evidence is here, yet everyone turned a blind eye:
link:s://:.rouletteforum.cc/index.php?topic=19192.0

[falkor2k15]

Well, I don't know what wasp bit praline, but he seems to have headed off somewhere now...

I'll be running some stats on all repeats occurring prior to Corners and Lines - after first creating them as Dynamic Cycles - and shall be monitoring:
*Groups Repeats 1,2,3, etc. (without retracking)
*Cycle repeats 1,2,3, etc. (retracking after each repeat)
*Deadlocks on groups before Repeat 1.
*Opening corner and line cycle length prior to closure.

Trigger for checking opening corner or line cycle length: HL, OE, RB, COL, DZ all have to repeat once or reach deadlock.



Here's some more examples of worst permutations with forfeited repeats on other groups:




Here were the maximum Cycle Lengths I found manually for dynamic corner and line cycles:

[falkor2k15]

This seems like an improvement?

[3Nine]

This seems like an improvement?

From MS-DOS? Yes.

[DoctorSudoku]

Gilius-Falkor,
How convenient of you to shove the 0 aside in laying out your numbers above !

In real life play, sidelining the 0 in the above manner would NOT  conveniently produce the outcomes that you crave so much.

[Taotie]

...you'd be an idiot to leave the zero uncovered!

@ DOCTORSUDOKU,

I think this explains the zero.

[falkor2k15]

I've retired Dynamic Line Cycles and Dynamic Corner Cycles because it turns out that it's no different to the concept of betting lines on behalf of streets or Corners on behalf of numbers or splits, but both perspectives are equally important to providing additional understanding.

[falkor2k15]

So I reached a deadlock on street cycles (and in theory dynamic line cycles) - would have lost all my chips trying to bet for such a repeat - only to encounter a deadlock and not be able to cover all 1-hits and still gain a profit. But, guess what? There were 18 repeats and 17 deadlocks on other groups that were active before the streets finally decided to repeat...

OECL1o1 HLCL1o1 RBdeadlock! CCL2o1 DCL2o2 OEdeadlock! HLdeadlock! QCL3o1 RBdeadlock! RBCL1o1 OEdeadlock! HLdeadlock! CCdeadlock! Ddeadlock! QCL2o2 RBCL1o1 HLCL1o1 CCL1o1 DCL1o1 OEdeadlock! HLCL1o1 DCL1o1 QCL2o1 RBdeadlock! OEdeadlock! HLdeadlock! CCdeadlock! DCL2o2 RBdeadlock! OEdeadlock! HLdeadlock! CCL2o2 DCL2o2 QCdeadlock!

[MoneyT101]

So I reached a deadlock on street cycles (and in theory dynamic line cycles) - would have lost all my chips trying to bet for such a repeat - only to encounter a deadlock and not be able to cover all 1-hits and still gain a profit. But, guess what? There were 18 repeats and 17 deadlocks on other groups that were active before the streets finally decided to repeat...

OECL1o1 HLCL1o1 RBdeadlock! CCL2o1 DCL2o2 OEdeadlock! HLdeadlock! QCL3o1 RBdeadlock! RBCL1o1 OEdeadlock! HLdeadlock! CCdeadlock! Ddeadlock! QCL2o2 RBCL1o1 HLCL1o1 CCL1o1 DCL1o1 OEdeadlock! HLCL1o1 DCL1o1 QCL2o1 RBdeadlock! OEdeadlock! HLdeadlock! CCdeadlock! DCL2o2 RBdeadlock! OEdeadlock! HLdeadlock! CCL2o2 DCL2o2 QCdeadlock!

Pri always said just pick a side for deadlocks and you won't have an issue

I'm not sure why your running into deadlocks.  Are you still trying to study the data? Or are you trying to find a method that can win?

What exactly are you trying to do?

[falkor2k15]

Pri always said just pick a side for deadlocks and you won't have an issue

I'm not sure why your running into deadlocks.  Are you still trying to study the data? Or are you trying to find a method that can win?

What exactly are you trying to do?

If I remember correctly, she said to play an opposite game that would turn the deadlocks into a winning game? However, without a parallel stream, if all uniques have shown then there needs to be a reason to side with 1 street over another. We can't cover all single-hits and still expect positive return.

Yeah, I'm studying the data from one type of repeat to the next: If one thing doesn't repeat then something else will repeat instead!

[MoneyT101]

We can't cover all single-hits and still expect positive return

All I will say is I kept looking at the same data for months and the whole time it was staring me in the face......so to reply to your quote, Why not?

[falkor2k15]

All I will say is I kept looking at the same data for months and the whole time it was staring me in the face......so to reply to your quote, Why not?

Well, the exception was when I was hedging 3 EC bets together as part of that Tree Cycles simulation - the deadlock was CL8 and it was still possible to return a profit. Here I'm opting for something more simple. I think the trick is knowing when to leave one cycle and parachute to a different cycle. I guess your system doesn't utilize this concept. There's a lot of different areas - all fascinating.