amling questionable searches/ideas firehose

[Timelord Missionary]

Here’s a p8 glide-symmetric weak domino sparker partial I made by hand. It is inspired by a sequence that turned up in a collidoscope.

Code: Select all

x=100,y=40 Rule=B3/S23
4boo$bobobbo$6bo$6bo$obboo$bbo$bbo3bo$6boo$3boobbo$6bo$6bo!

If it can be completed, that would be really cool, not only for the sake of its incredibly specific sparking application, but just because I like how it looks. It’s okay if it can’t be completed; I know that it might take a lot of computing power.
P.S., Is there a p4 emulator with a spark like 60p7, but with an Ellison side spark? Because of what I’m using it for, a p32 pi/traffic light hassler inspired by the p26 one, I need it to have more clearance than the actual Ellison p4 emulator end.

[amling]

Here’s a p8 glide-symmetric weak domino sparker partial I made by hand. It is inspired by a sequence that turned up in a collidoscope.

Code: Select all

x=100,y=40 Rule=B3/S23
4boo$bobobbo$6bo$6bo$obboo$bbo$bbo3bo$6boo$3boobbo$6bo$6bo!

If it can be completed, that would be really cool, not only for the sake of its incredibly specific sparking application, but just because I like how it looks. It’s okay if it can’t be completed; I know that it might take a lot of computing power.

Unfortunately I have no idea what you're asking. I guess I understand "p8" to really mean a period 8 oscillator and I guess the flip is over the SW/NE axis? But even then I have no idea what to make of all the random cells on and off outside of the part of the pattern that is reproduced 4 generations later. See previous philosophical ramblings about why single generation partials make no sense. Either way it's all sort of academic as I don't think LLSSS is going to be much good at searching for p8 oscillators with a diagonal flip even if the code might theoretically allow it. p8 is just too much and LLSSS is just too poor at oscillators.

P.S., Is there a p4 emulator with a spark like 60p7, but with an Ellison side spark? Because of what I’m using it for, a p32 pi/traffic light hassler inspired by the p26 one, I need it to have more clearance than the actual Ellison p4 emulator end.

I have no idea. If you're asking me to attempt a search for a custom p4 sparker that is absolutely something I can do but I'm gonna want a enough information to actually go encode the clearance requirements. Simplest probably is to show the reaction where you're going to use the spark and how it would interact if sparked by hand.

[Timelord Missionary]

Unfortunately I have no idea what you're asking. I guess I understand "p8" to really mean a period 8 oscillator and I guess the flip is over the SW/NE axis? But even then I have no idea what to make of all the random cells on and off outside of the part of the pattern that is reproduced 4 generations later. See previous philosophical ramblings about why single generation partials make no sense. Either way it's all sort of academic as I don't think LLSSS is going to be much good at searching for p8 oscillators with a diagonal flip even if the code might theoretically allow it. p8 is just too much and LLSSS is just too poor at oscillators.

Sorry for the nebulous idea. Yes, I did mean what you thought I meant, but I should have tried phrasing it better, shouldn’t have I? Something I also should have done was say that all of those random cells are only there so that at generation four, the thing can look the way I want it to, and that, if someone were to pick it up and try to solve it, they should support it some other way, not the hacks way I did.
Thank you for your time and consideration. The other thing will come tomorrow, as I don’t have enough time today.

[tommyaweosme]

search in soups but you scale them up so one pixel is a 2x2 block. see what you can find. scale it up to 3x3 and do the same. then, scale it to 10x10 and do the same

Code: Select all

x = 36, y = 10, rule = B3/S23
o2bo22b2o4b2o$2bo23b2o4b2o$o29b2o$2bobo25b2o$2ob2o21b2o$26b2o$30b2o2b
2o$30b2o2b2o$26b4o2b4o$26b4o2b4o!

a normal 5x5 next to its 2x2 upscaled counterpart

[Sokwe]

search in soups but you scale them up so one pixel is a 2x2 block. see what you can find. scale it up to 3x3 and do the same. then, scale it to 10x10 and do the same

Code: Select all

x = 36, y = 10, rule = B3/S23
o2bo22b2o4b2o$2bo23b2o4b2o$o29b2o$2bobo25b2o$2ob2o21b2o$26b2o$30b2o2b
2o$30b2o2b2o$26b4o2b4o$26b4o2b4o!

a normal 5x5 next to its 2x2 upscaled counterpart

Was this meant to be a suggestion? I don't think Amling has made any soup search programs.

What you describe are known as "inflated" soups. They are already supported by the latest version of apgsearch (see apgsearch#Higher_symmetries on the wiki for details).

[Timelord Missionary]

P.S., Is there a p4 emulator with a spark like 60p7, but with an Ellison side spark? Because of what I’m using it for, a p32 pi/traffic light hassler inspired by the p26 one, I need it to have more clearance than the actual Ellison p4 emulator end.

Here’s the mechanism to gauge the required clearance:

Code: Select all

x=100, y=190, rule=B3/S23
oo9boo$oo9boo$$$6bo$oo4bo4boo$oo3bobo3boo$6bo$6bo$$bb4o$oo4b3o$o8bo!

[amling]

P.S., Is there a p4 emulator with a spark like 60p7, but with an Ellison side spark? Because of what I’m using it for, a p32 pi/traffic light hassler inspired by the p26 one, I need it to have more clearance than the actual Ellison p4 emulator end.

Here’s the mechanism to gauge the required clearance:

Code: Select all

x=100, y=190, rule=B3/S23
oo9boo$oo9boo$$$6bo$oo4bo4boo$oo3bobo3boo$6bo$6bo$$bb4o$oo4b3o$o8bo!

That's not really "a spark" as I would describe it. Also, I'm pretty sure the continuation of the reaction is going to collide with any p4 catalyst that does anything at all like that. Look at how far the reaction is south in gen 12 (which has to be the same as gen 0 for any p4 catalyst).

EDIT: Thinking upon it further I have realized that "collide with" is true in a sense, but you could still have a single p4 catalyst survive both interactions (the first to suppress the extra cell in gen 2, the second to just not be destroyed by the reaction around gen 12). I'm still not optimistic about finding one, but fancy use of `--unwrap-v` could theoretically do this type of search with a very complicated constraint file.

EDIT2: As an example, this constraint file is unsolvable at any width:

Code: Select all

| LLLuuuuuuuuuuuuuuuuuRRR | LLLuuuuuuuuuuuuuuuuuRRR | LLLuuuuuuuuuuuuuuuuuRRR | LLLuuuuuuuuuuuuuuuuuRRR | LLLuuuuuuuuuuuuuuuuuRRR | LLLuuuuuuuuuuuuuuuuuRRR | LLLuuuuuuuuuuuuuuuuuRRR | LLLuuuuuuuuuuuuuuuuuRRR | LLLuuuuuuuuuuuuuuuuuRRR | LLLuuuuuuuuuuuuuuuuuRRR | LLLuuuuuuuuuuuuuuuuuRRR | LLLuuuuuuuuuuuuuuuuuRRR | LLLuuuuuuuuuuuuuuuuuRRR | LLLuuuuuuuuuuuuuuuuuRRR | LLLuuuuuuuuuuuuuuuuuRRR | LLLuuuuuuuuuuuuuuuuuRRR | LLLuuuuuuuuuuuuuuuuuRRR | LLLuuuuuuuuuuuuuuuuuRRR | LLLuuuuuuuuuuuuuuuuuRRR | LLLuuuuuuuuuuuuuuuuuRRR |
| ........*.*.*.*........ | ....................... | ....................... | ....................... | ....................... | ....................... | ....................... | ....................... | ....................... | ...........*........... | ..........***.......... | ..........*.*.......... | ..........***.......... | .........*...*......... | .........*****......... | ........*.....*........ | ........*.*.*.*........ | ....................... | ....................... | ....................... |
| .........*****......... | ....................... | ....................... | ...........*........... | ...........*........... | ....................... | ...........*........... | ...........*........... | ..........***.......... | ..........***.......... | ..........***.......... | .........*...*......... | .........**.**......... | ........*.....*........ | ......*.**...**.*...... | ........**.*.**........ | ..........*.*.......... | .........*...*......... | ....................... | ....................... |
| .....**...***...**..... | .....**..*...*..**..... | .....**...***...**..... | .....**...*.*...**..... | .....**....*....**..... | .....**...***...**..... | .....**...*.*...**..... | .....**...***...**..... | .....**..*...*..**..... | .....**..*...*..**..... | .....**..*...*..**..... | .....**..*...*..**..... | .....**.**...**.**..... | .....****.....****..... | .....*...........*..... | .....**.**...**.**..... | .....**.........**..... | .....**.........**..... | .....**.........**..... | .....**.........**..... |
| .....**....*....**..... | .....**...***...**..... | .....**...***...**..... | .....**.........**..... | .....**...*.*...**..... | .....**...*.*...**..... | .....**..*...*..**..... | .....**..**.**..**..... | .....**..**.**..**..... | .....**..**.**..**..... | .....**..**.**..**..... | .....**..**.**..**..... | .....**..**.**..**..... | .....******.******..... | .....*...*...*...*..... | .....*.*.*...*.*.*..... | .....*....*.*....*..... | .....**.........**..... | .....**.........**..... | .....**.........**..... |
| ....................... | ....................... | ...........*........... | ..........***.......... | ...........*........... | ..........***.......... | ..........*.*.......... | ....................... | ....................... | ....................... | ....................... | ....................... | ....................... | ....................... | ......****...****...... | ......****...****...... | .........*...*......... | .........**.**......... | .....WWWWWWWWWWWWW..... | ....................... |
| ....................... | ....................... | ....................... | ....................... | ...........*........... | ..........WWW.......... | ....................... | ....................... | ....................... | ....................... | ....................... | ....................... | ....................... | ....................... | ....................... | .......**.....**....... | ......*..*...*..*...... | .....WWWWWWWWWWWWW..... | ....WWWWWWWWWWWWWWW.... | ....................... |
| 55555555555555555555555 | 55555555555555555555555 | 55555555555555555555555 | 55555555555555555555555 | 55555555555555555555555 | 5555555555WWW5555555555 | 555555555WWWWW555555555 | 55555555WWWWWWW55555555 | 55555555555555555555555 | 55555555555555555555555 | 55555555555555555555555 | 55555555555555555555555 | 55555555555555555555555 | 55555555555555555555555 | 55555555555555555555555 | 55555555555555555555555 | 55555555555555555555555 | 55555WWWWWWWWWWWWW55555 | 5555WWWWWWWWWWWWWWW5555 | 55555555555555555555555 |
| 55555555555555555555555 | 55555555555555555555555 | 55555555555555555555555 | 55555555555555555555555 | 55555555555555555555555 | 55555555555555555555555 | 555555555WWWWW555555555 | 55555555WWWWWWW55555555 | 55555555555555555555555 | 55555555555555555555555 | 55555555555555555555555 | 55555555555555555555555 | 55555555555555555555555 | 55555555555555555555555 | 55555555555555555555555 | 55555555555555555555555 | 55555555555555555555555 | 55555555555555555555555 | 5555WWWWWWWWWWWWWWW5555 | 55555555555555555555555 |
| 55555555555555555555555 | 55555555555555555555555 | 55555555555555555555555 | 55555555555555555555555 | 55555555555555555555555 | 55555555555555555555555 | 55555555555555555555555 | 55555555WWWWWWW55555555 | 55555555555555555555555 | 55555555555555555555555 | 55555555555555555555555 | 55555555555555555555555 | 55555555555555555555555 | 55555555555555555555555 | 55555555555555555555555 | 55555555555555555555555 | 55555555555555555555555 | 55555555555555555555555 | 55555555555555555555555 | 55555555555555555555555 |
| 55555555555555555555555 | 55555555555555555555555 | 55555555555555555555555 | 55555555555555555555555 | 55555555555555555555555 | 55555555555555555555555 | 55555555555555555555555 | 55555555555555555555555 | 55555555555555555555555 | 55555555555555555555555 | 55555555555555555555555 | 55555555555555555555555 | 55555555555555555555555 | 55555555555555555555555 | 55555555555555555555555 | 55555555555555555555555 | 55555555555555555555555 | 55555555555555555555555 | 55555555555555555555555 | 55555555555555555555555 |
| 55555555555555555555555 | 55555555555555555555555 | 55555555555555555555555 | 55555555555555555555555 | 55555555555555555555555 | 55555555555555555555555 | 55555555555555555555555 | 55555555555555555555555 | 55555555555555555555555 | 55555555555555555555555 | 55555555555555555555555 | 55555555555555555555555 | 55555555555555555555555 | 55555555555555555555555 | 55555555555555555555555 | 55555555555555555555555 | 55555555555555555555555 | 55555555555555555555555 | 55555555555555555555555 | 55555555555555555555555 |
| 55555555555555555555555 | 55555555555555555555555 | 55555555555555555555555 | 55555555555555555555555 | 55555555555555555555555 | 55555555555555555555555 | 55555555555555555555555 | 55555555555555555555555 | 55555555555555555555555 | 55555555555555555555555 | 55555555555555555555555 | 55555555555555555555555 | 55555555555555555555555 | 55555555555555555555555 | 55555555555555555555555 | 55555555555555555555555 | 55555555555555555555555 | 55555555555555555555555 | 55555555555555555555555 | 55555555555555555555555 |

But this of course only represents one extremely specific choice of how much space and time of interaction to allow in the two different collisions before everything must have returned to normal. The constraint file I had searched for before this with several more wildcards ("W"s) filled the 16 GB I gave it and died so it's possible seriously careful construction of constraint file or more memory could do something.

[amling]

As dreamed of previously and perhaps foreshadowed by some of the EC2 work, I have finally sprung for a new computer with the express purposes of running research computing. It features 1 TB of RAM and 8 TB of SSDs for swap. Yes, eight terabytes, yes just for swap, yes more I think than the combined storage of all other computers I have ever owned. The testing with thrashing SSD swap I had been doing convinced me it was worth the comparatively small incremental cost to include and see how it goes. Given this computer was built for this purpose and this purpose alone I have no reluctance to run it (and specifically those swap drives) into the ground.

Going forward I will of course consider running beyond 120 GB of memory for all new search projects, but now we must begin the demoralizing, slow, and laborious process of combing through past search projects and deciding which to try to resurrect and redo with more memory.

I'm starting with the B2a3i/S12 p3 searches since they've been one of my standards for comparison for some of this work and I want to see how they do first (it would be a bonus if they succeeded, either positively or negatively). My personal likely candidates for being worth a rerun include...

Things from my general most wanted list:

*) The various attempts at producing a "less than quartermax" meeting the common c/2 x 2c/4 diagonal edge with a simple p2 edge at (2, 1)c/6 one way or the other.
*) Something for 2c/5 perpendicular greyships? I don't recall any particularly reasonable approaches to it though.
*) Something for c/6 greyships? Ditto no good ideas on how to come at it.
*) A c/2 perpendicular stripes level back edge, specifically via those 4c/8 back corners for the 2c/4 x 2c/1 (sideways) back edges. The partials were just so good.
*) Those "dragging" searches where some vacuum-incompatible velocity is dragging another. E.g. a 2c/7d back for 2-staggered ants.
*) EDIT1: 2c/6 perpendicular stripes greystretcher, specifically via that 2c/6 x 2c/4 (backward) seam. I know I claimed this is a long shot (it is!), but 1 TB of RAM is a lot.

Exhaustion searches that were specifically blocked on memory:

*) Something something those "min pop" searches? I'll have to dig through my notes to figure out where we left off and perhaps do some benchmarking. I'm a little hesitant to immediately tie up the fancy new computer in a multi-month search project.
*) The B2a3i/S12 p3 searches, as mentioned above.
*) Maybe "wrap hax" Nc/2N sideways backs for c/3 greyships?

Other wizards, help me remember! What have I missed? Specific search projects to resurrect (as generally expressed by a summary post of mine somewhere) are probably to be preferred over abstract problems.

[wwei47]

Any chance of a search for c/3 orthogonal spaceships in Flock at width 69 gutter? Your program seems like one of the few that's powerful enough to handle that.

[amling]

Any chance of a search for c/3 orthogonal spaceships in Flock at width 69 gutter? Your program seems like one of the few that's powerful enough to handle that.

Filling in the background from the "flock" thread (which is apparently a name for B3/S12) there are known c/3 ships and there is a known width 71 gutter ship (as in width of the entire ship, as in 35 nonzero columns, one zero middle column, then 35 columns reflected copy of the first) and it sounds like mostly these things have been found with LSSS. I assume we're asking for a width 69 gutter search because we hope it will find nothing and prove the width 71 ship minimal.

Generally for anything LSSS can do it's going to be way, way better than LLSSS, so I can't help but wonder how big/slow its searches run so far have been. LLSSS can theoretically do the proposed search (width 69 gutter, from zeros), it's just the state of the art for doing from-zeros searches for fixed board searches like that is the "W cycle avoidance filter" which is a royal pain, performs poorly, and requires a recompilation. It can sort of be faked without a recompile by watching the "unique" output and when the first W row is all zeros you know you're done. Unfortunately I don't do a lot of searches like this (specified width) and have put a lot more development effort into recentering mode's "wrong answers only" feature to do initial engagement searches.

I guess I can see what can be done (whether or not it's gonna need the new 1 TB of memory machine), but I can't help but notice May13 on the flock thread who IIRC has run LLSSS searches before and might be able to look into these things.

[wwei47]

Generally for anything LSSS can do it's going to be way, way better than LLSSS at so I can't help but wonder how big/slow its searches run so far have been.

I asked for LLSSS specifically because there are known issues with LSSS possibly not being exhaustive, making it useless for disproofs.

[amling]

Generally for anything LSSS can do it's going to be way, way better than LLSSS at so I can't help but wonder how big/slow its searches run so far have been.

I asked for LLSSS specifically because there are known issues with LSSS possibly not being exhaustive, making it useless for disproofs.

I have heard that and it makes sense, but if for example it's taken 6 months of search time and 87 TB of disk space for LSSS to do width 71 search I don't think LLSSS is going to be able to help anyone. I am just trying to find out if I can quickly eliminate any possibility of this working out.

In the meantime I have done the recompile to enable the weird filter and have started crawling upwards through the widths. On this highly contested and weak computer where I usually run preliminary searches it has most recently completed width 49 in ~2 minutes and ~137 MB (its own view of its state size, not including overhead of e.g. the 176 MB executable, thread stacks, etc.). Of course these things tend to balloon quickly so it's hard to say what the journey from 49 to 69 will bring.

EDIT: Although it is documented elsewhere, I should maybe mention explicitly: the LLSSS code is published on codeberg.org and theoretically anyone with a computer they can leave running could run these searches. Of course, as I've said, `LlsssFilterWCycleAvoiding` is a mess and I would understand if no one wants to open that particular can of worms to do this (type of) search.

[wwei47]

In the meantime I have done the recompile to enable the weird filter and have started crawling upwards through the widths. On this highly contested and weak computer where I usually run preliminary searches it has most recently completed width 49 in ~2 minutes and ~137 MB (its own view of its state size, not including overhead of e.g. the 176 MB executable, thread stacks, etc.). Of course these things tend to balloon quickly so it's hard to say what the journey from 49 to 69 will bring.

2 minutes is already far faster than anything I can get from JLS or ikpx2. Wow.

[amling]

(about c/3 searches in B3/S12)

In the meantime I have done the recompile to enable the weird filter and have started crawling upwards through the widths. On this highly contested and weak computer where I usually run preliminary searches it has most recently completed width 49 in ~2 minutes and ~137 MB (its own view of its state size, not including overhead of e.g. the 176 MB executable, thread stacks, etc.). Of course these things tend to balloon quickly so it's hard to say what the journey from 49 to 69 will bring.

Width 69 finished in ~28 minutes maxing out at 3.3 GB (OS view). Longest partial was:

Code: Select all

x = 121, y = 38, rule = LifeHistory
F.37B.F.37B.F.37B.F$F.37B.F.37B.F.37B.F$F.17B2A18B.F.17B2A18B.F.16B4A
17B.F$F.16BA3BA16B.F.15B2A2B2A16B.F.14BA3BAB2A15B.F$F.13B2ABA3B3A14B.
F.13B2ABA3BABA14B.F.13B2ABA5B2A13B.F$F.15BA7BA13B.F.19BA2B2A13B.F.13B
A5B2A2BA13B.F$F.13B2A4B2A16B.F.12BA5BA2BA15B.F.18BA2B4A12B.F$F.12B2A
4B4A2BA12B.F.14BA2BA6B2A11B.F.12B2A3BA8BA10B.F$F.11BA5B3ABA2BABA10B.F
.10B3A11B3A10B.F.10BAB2A4BABA2BA3BA9B.F$F.9B2A7BA2B3A3BA9B.F.8BA3BA4B
AB3A2BABABA8B.F.8BABA8B3ABA4BA8B.F$F.8B4ABA9BA3B2A8B.F.7BA3B4A8BA2BAB
A8B.F.7BA6BA5BABA3BA3BA6B.F$F.7B3A3B2A4BA6BA3B2A5B.F.11BA11B2ABAB4A5B
.F.8BA4B2A7B2A2BABAB2A5B.F$F.8BA3BA2BA5B3ABA2BA8B.F.7BABABA3BA5BA3BA
11B.F.11B2A2BA10B3A2BA5B.F$F.11B3A3BA5B2A12B.F.11BA2BA2BA7BA2BABA6B.F
.7BA7B4A5B3ABABA6B.F$F.7BA6BA3BA5BA3B4A5B.F.7B8A2BABA5BA2B2ABA5B.F.6B
A2BA4BABA2BA5B2A4BA5B.F$F.6BAB3A7B2A4BA2BA3BA5B.F.6B2A9B3A3B2A2B3A7B.
F.5BA3B2A3B2A6BA9BA4B.F$F.5BA3B2A2BA2BA4B2A8BABA3B.F.5B2A5BA2B2ABA3B
2AB2A4BABA3B.F.12BA2BA4BABA9B2A3B.F$F.4BA2B4AB4A3B2ABA2B2A5B2A3B.F.4B
A2BA3BA4B2AB2A3BA2BA5BA3B.F.4B5A2B2A5BABABAB4A9B.F$F.3BA9BA2BABA3BAB
4A9B.F.3BA4B2A2BA2B2A3BABA10B2A2B.F.3B3AB6A2BABAB2ABA12BAB.F$F.17B2AB
ABABABA7B2AB.F.4BABA3BA11BABA2BA6B2AB.F.4BA17BABA8BABAB.F$F.3BAB3AB3A
3BAB2A3BA12BAB.F.5B3AB3A3B2A5BA2BA11B.F.7BA7B3A4BA12BAB.F$F.14BA3BA3B
A2BA7BABAB.F.10BA3BA2B2A5B3A6BABAB.F.4BA4BABA2B5A5BABA6B2A2B.F$F.4B2A
7BA7B3AB2A6B2A2B.F.4B2A7BA19BA3B.F.4B2A7B3ABA3B2A3BA10B.F$F.20BA3BABA
10B.F.14BABA3B5ABA5B2A3B.F.5BA8BA2BA2B5A6BA5B.F$F.13BAB3A13B2A4B.F.6B
A8B3A13B2A4B.F.5BABA13B2AB2A5BABA3B.F$F.5B3A12BA16B.F.5B3A8B2A6BA12B.
F.8BA6BA2BA6BA3B3A5B.F$F.8BA9BA4B3A3BA7B.F.5B4A10B2AB4A2B3A6B.F.9BA8B
5A5BA2BA5B.F$F.4BA4BA6BA3B3A5B2ABA5B.F.3BABA2B2A6B2A2BA3BA5B2A5B.F.3B
3A10B2A7BA11B.F$F.3B3A2BA7BA5BA5BA3BA4B.F.2BA4BA2BA4BA4BA7B2A2BA4B.F.
2BA4B2A2BA5BA2BA2BA4B5A4B.F$F.2B3A2B2AB2A4B2A2BAB3A8BA3B.F.10B2A3B2A
4B2ABA8BA3B.F.10B2A2BA5B3ABA2BABA2B2A3B.F$F.3B5ABA4BA3BA5BA2BA9B.F.
14BABA2BA5BAB2A3BA4B.F.3B4A3B2ABA3BAB3ABA3BA3BABA3B.F$F.2BA6BA3BA3BAB
A4BA2BABABABA3B.F.2B6A2BA2B2ABA3BA3B2ABABAB2A4B.F.2B7A2B2A3BA7BA4B2A
6B.F$F.8BABA2BA2B4AB2ABA3B2ABA5B.F.8B4AB3A3B4A3BA4BA5B.F.3B2A7BA3BA2B
A2BABA2BA2BA6B.F$F.11B2A2B3A5B2AB2ABA2BA4B.F.6B2A2BA4BA5BA3B2A5BA4B.F
.3BA2BA9BA8B2A4B3A3B.F$F.2BA2B3A3BA5BAB2A2BA3B3A3BA3B.F.2B3A3BABA4BA
3B2ABA7BA2B2A2B.F.2BABA2B2AB2A3B2A2B2A2BABABAB3A3BAB.F$F.2BAB2AB2A2BA
2BA3BA4BA3BABA4B2AB.F.2BA7BA2B2A2BA4B2A2B2AB2A3B2AB.F.4BA4B2A2B2AB2AB
2A2BABA5BA3BAB.F$F.4BA3BA2B3A4BA4BABA5BA5B.F.3BA13B2A2BA3B2AB2A2BA4B.
F.3BA9BAB2A4B2A2BA8B2AB.F$F.5BABA4BA5BAB3AB2A3B4A4B.F.14B2A2BA10BA5BA
B.F.3B2AB4ABA2BA2BA10B3AB3A2B.F!

Uh, although rule is wrong. This sort of highlights a problem with using life history as an interchange format. The first generation, with the right rule and copying across the gutter is:

Code: Select all

x = 69, y = 36, rule = B3/S12
15b2o35b2o$14bo3bo31bo3bo$11b2obo3b3o27b3o3bob2o$13bo7bo25bo7bo$11b2o
4b2o31b2o4b2o$10b2o4b4o2bo23bo2b4o4b2o$9bo5b3obo2bobo19bobo2bob3o5bo$
7b2o7bo2b3o3bo17bo3b3o2bo7b2o$6b4obo9bo3b2o15b2o3bo9bob4o$5b3o3b2o4bo
6bo3b2o9b2o3bo6bo4b2o3b3o$6bo3bo2bo5b3obo2bo15bo2bob3o5bo2bo3bo$9b3o3b
o5b2o23b2o5bo3b3o$5bo6bo3bo5bo3b4o9b4o3bo5bo3bo6bo$4bob3o7b2o4bo2bo3bo
9bo3bo2bo4b2o7b3obo$3bo3b2o2bo2bo4b2o8bobo5bobo8b2o4bo2bo2b2o3bo$2bo2b
4ob4o3b2obo2b2o5b2o5b2o5b2o2bob2o3b4ob4o2bo$bo9bo2bobo3bob4o17b4obo3bo
bo2bo9bo$15b2obobobobo7b2ob2o7bobobobob2o$bob3ob3o3bob2o3bo12bobo12bo
3b2obo3b3ob3obo$12bo3bo3bo2bo7bobobobo7bo2bo3bo3bo$2b2o7bo7b3ob2o6b2o
3b2o6b2ob3o7bo7b2o$18bo3bobo19bobo3bo$11bob3o13b2o7b2o13b3obo$3b3o12bo
31bo12b3o$6bo9bo4b3o3bo13bo3b3o4bo9bo$2bo4bo6bo3b3o5b2obo9bob2o5b3o3bo
6bo4bo$b3o2bo7bo5bo5bo3bo7bo3bo5bo5bo7bo2b3o$3o2b2ob2o4b2o2bob3o8bo5bo
8b3obo2b2o4b2ob2o2b3o$b5obo4bo3bo5bo2bo17bo2bo5bo3bo4bob5o$o6bo3bo3bob
o4bo2bobobobo5bobobobo2bo4bobo3bo3bo6bo$6bobo2bo2b4ob2obo3b2obo9bob2o
3bob2ob4o2bo2bobo$9b2o2b3o5b2ob2obo2bo7bo2bob2ob2o5b3o2b2o$o2b3o3bo5bo
b2o2bo3b3o3bo5bo3b3o3bo2b2obo5bo3b3o2bo$ob2ob2o2bo2bo3bo4bo3bobo4b2ob
2o4bobo3bo4bo3bo2bo2b2ob2obo$2bo3bo2b3o4bo4bobo5bo9bo5bobo4bo4b3o2bo3b
o$3bobo4bo5bob3ob2o3b4o7b4o3b2ob3obo5bo4bobo!

I believe this search to be exhaustive and I feel pretty good about that belief, but I will feel 1% better when the width 71 search reaches the known ship. I've left it running, to be followed by lines of odd, even, and asymmetric searches, at least as far as they all end up getting limited to 16 GB memory.

EDIT: Gutter width 71 hit the first cluster of ships (the shortest at this width), finding 44 variations:

Code: Select all

x = 71, y = 2019, rule = B3/S12
23b2o21b2o$22bo3bo17bo3bo$19b2obo3b3o13b3o3bob2o$21bo7bo11bo7bo$19b2o
4b2o17b2o4b2o$18b2o4b4o2bo9bo2b4o4b2o$13b2o4bo3b3obo2bobo5bobo2bob3o3b
o4b2o$11b2o2b2o7bo2b3o3bo3bo3b3o2bo7b2o2b2o$9bo8b3o8bo3b2ob2o3bo8b3o8b
o$8b2ob6obob2o3bo3bo11bo3bo3b2obob6ob2o$8bo2bo2bobo3bo7bo2b4ob4o2bo7bo
3bobo2bo2bo$9b3o2bobob3o10b2o5b2o10b3obobo2b3o$6b2o11bobo6bobo9bobo6bo
bo11b2o$4bo2bo8bo2bo7b3o11b3o7bo2bo8bo2bo$3b2obo4b4o4bobo3bobo15bobo3b
obo4b4o4bob2o$3b3o13bo4bo2bo15bo2bo4bo13b3o$bobo23bobo11bobo23bobo$o
23bob3obo9bob3obo23bo$4b2o21bo15bo21b2o$2bob3o20b2o13b2o20b3obo$2o4b2o
18bobobo9bobobo18b2o4b2o$2o5bo2b3o15b3o9b3o15b3o2bo5b2o$b2o5bo4bo15bo
11bo15bo4bo5b2o$7b4o15bo2bo11bo2bo15b4o$5bo8b2o9bo3bo11bo3bo9b2o8bo$4b
2o3b2o20bo7bo20b2o3b2o$6bo2bo7bo6b5o3bo5bo3b5o6bo7bo2bo$15bob2o4b3ob2o
4bo3bo4b2ob3o4b2obo$6bobo5bo3bo5bo2bob3o2bobo2b3obo2bo5bo3bo5bobo$13bo
16b2obo3bob2o16bo$19bo5bo19bo5bo$13bob3o2bo7bo13bo7bo2b3obo$27b2o13b2o
$18bobo7b3o9b3o7bobo$28bo2bo7bo2bo2$27b5o7b5o$26b3ob2o7b2ob3o$27bo2bob
o5bobo2bo$32b2o3b2o$28bo2b2o5b2o2bo6$23b2o21b2o$22bo3bo17bo3bo$19b2obo
3b3o13b3o3bob2o$21bo7bo11bo7bo$19b2o4b2o17b2o4b2o$18b2o4b4o2bo9bo2b4o
4b2o$13b2o4bo3b3obo2bobo5bobo2bob3o3bo4b2o$11b2o2b2o7bo2b3o3bo3bo3b3o
2bo7b2o2b2o$9bo8b3o8bo3b2ob2o3bo8b3o8bo$8b2ob6obob2o3bo3bo11bo3bo3b2ob
ob6ob2o$8bo2bo2bobo3bo7bo2b4ob4o2bo7bo3bobo2bo2bo$9b3o2bobob3o10b2o5b
2o10b3obobo2b3o$6b2o11bobo6bobo9bobo6bobo11b2o$4bo2bo8bo2bo7b3o11b3o7b
o2bo8bo2bo$3b2obo4b4o4bobo3bobo15bobo3bobo4b4o4bob2o$3b3o13bo4bo2bo15b
o2bo4bo13b3o$bobo23bobo11bobo23bobo$o23bob3obo9bob3obo23bo$4b2o21bo15b
o21b2o$2bob3o20b2o13b2o20b3obo$2o4b2o18bobobo9bobobo18b2o4b2o$2o5bo2b
3o15b3o9b3o15b3o2bo5b2o$b2o5bo4bo15bo11bo15bo4bo5b2o$7b4o15bo2bo11bo2b
o15b4o$5bo8b2o9bo3bo11bo3bo9b2o8bo$4b2o3b2o20bo7bo20b2o3b2o$6bo2bo7bo
6b5o3bo5bo3b5o6bo7bo2bo$15bob2o4b3ob2o4bo3bo4b2ob3o4b2obo$6bobo5bo3bo
5bo2bob3o2bobo2b3obo2bo5bo3bo5bobo$13bo16b2obo3bob2o16bo$19bo5bo19bo5b
o$13bob3o2bo7bo13bo7bo2b3obo$27b2o13b2o$18bobo4b3o15b3o4bobo$24bo2bo
15bo2bo2$24b5o13b5o$24b2ob3o11b3ob2o$23bobo2bo13bo2bobo$22b2o23b2o$23b
2o2bo15bo2b2o6$23b2o21b2o$22bo3bo17bo3bo$19b2obo3b3o13b3o3bob2o$21bo7b
o11bo7bo$19b2o4b2o17b2o4b2o$18b2o4b4o2bo9bo2b4o4b2o$13b2o4bo3b3obo2bob
o5bobo2bob3o3bo4b2o$11b2o2b2o7bo2b3o3bo3bo3b3o2bo7b2o2b2o$9bo8b3o8bo3b
2ob2o3bo8b3o8bo$8b2ob6obob2o3bo3bo11bo3bo3b2obob6ob2o$8bo2bo2bobo3bo7b
o2b4ob4o2bo7bo3bobo2bo2bo$9b3o2bobob3o10b2o5b2o10b3obobo2b3o$6b2o11bob
o6bobo9bobo6bobo11b2o$4bo2bo8bo2bo7b3o11b3o7bo2bo8bo2bo$3b2obo4b4o4bob
o3bobo15bobo3bobo4b4o4bob2o$3b3o13bo4bo2bo15bo2bo4bo13b3o$bobo23bobo
11bobo23bobo$o23bob3obo9bob3obo23bo$4b2o21bo15bo21b2o$2bob3o20b2o13b2o
20b3obo$2o4b2o18bobobo9bobobo18b2o4b2o$2o5bo2b3o15b3o9b3o15b3o2bo5b2o$
b2o5bo4bo15bo11bo15bo4bo5b2o$7b4o4bo10bo2bo11bo2bo10bo4b4o$5bo7bo2bo8b
o3bo11bo3bo8bo2bo7bo$4b2o3b2o20bo7bo20b2o3b2o$6bo2bo8bo5b5o3bo5bo3b5o
5bo8bo2bo$17b2o4b3ob2o4bo3bo4b2ob3o4b2o$6bobo9b3o3bo2bob3o2bobo2b3obo
2bo3b3o9bobo$18bo2bo8b2obo3bob2o8bo2bo$16bo8bo19bo8bo$15bo2bo2b2o5bo
13bo5b2o2bo2bo$16bo3b4o3b2o13b2o3b4o3bo$21b2o5b3o9b3o5b2o$28bo2bo7bo2b
o2$27b5o7b5o$26b3ob2o7b2ob3o$27bo2bobo5bobo2bo$32b2o3b2o$28bo2b2o5b2o
2bo6$23b2o21b2o$22bo3bo17bo3bo$19b2obo3b3o13b3o3bob2o$21bo7bo11bo7bo$
19b2o4b2o17b2o4b2o$18b2o4b4o2bo9bo2b4o4b2o$13b2o4bo3b3obo2bobo5bobo2bo
b3o3bo4b2o$11b2o2b2o7bo2b3o3bo3bo3b3o2bo7b2o2b2o$9bo8b3o8bo3b2ob2o3bo
8b3o8bo$8b2ob6obob2o3bo3bo11bo3bo3b2obob6ob2o$8bo2bo2bobo3bo7bo2b4ob4o
2bo7bo3bobo2bo2bo$9b3o2bobob3o10b2o5b2o10b3obobo2b3o$6b2o11bobo6bobo9b
obo6bobo11b2o$4bo2bo8bo2bo7b3o11b3o7bo2bo8bo2bo$3b2obo4b4o4bobo3bobo
15bobo3bobo4b4o4bob2o$3b3o13bo4bo2bo15bo2bo4bo13b3o$bobo23bobo11bobo
23bobo$o23bob3obo9bob3obo23bo$4b2o21bo15bo21b2o$2bob3o20b2o13b2o20b3ob
o$2o4b2o18bobobo9bobobo18b2o4b2o$2o5bo2b3o15b3o9b3o15b3o2bo5b2o$b2o5bo
4bo15bo11bo15bo4bo5b2o$7b4o4bo10bo2bo11bo2bo10bo4b4o$5bo7bo2bo8bo3bo
11bo3bo8bo2bo7bo$4b2o3b2o20bo7bo20b2o3b2o$6bo2bo8bo5b5o3bo5bo3b5o5bo8b
o2bo$17b2o4b3ob2o4bo3bo4b2ob3o4b2o$6bobo6b3o6bo2bob3o2bobo2b3obo2bo6b
3o6bobo$14bo2bo12b2obo3bob2o12bo2bo$25bo19bo$14b5o9bo13bo9b5o$14b2ob3o
7b2o13b2o7b3ob2o$13bobo2bo9b3o9b3o9bo2bobo$12b2o14bo2bo7bo2bo14b2o$13b
2o2bo35bo2b2o$27b5o7b5o$26b3ob2o7b2ob3o$27bo2bobo5bobo2bo$32b2o3b2o$
28bo2b2o5b2o2bo6$23b2o21b2o$22bo3bo17bo3bo$19b2obo3b3o13b3o3bob2o$21bo
7bo11bo7bo$19b2o4b2o17b2o4b2o$18b2o4b4o2bo9bo2b4o4b2o$13b2o4bo3b3obo2b
obo5bobo2bob3o3bo4b2o$11b2o2b2o7bo2b3o3bo3bo3b3o2bo7b2o2b2o$9bo8b3o8bo
3b2ob2o3bo8b3o8bo$8b2ob6obob2o3bo3bo11bo3bo3b2obob6ob2o$8bo2bo2bobo3bo
7bo2b4ob4o2bo7bo3bobo2bo2bo$9b3o2bobob3o10b2o5b2o10b3obobo2b3o$6b2o11b
obo6bobo9bobo6bobo11b2o$4bo2bo8bo2bo7b3o11b3o7bo2bo8bo2bo$3b2obo4b4o4b
obo3bobo15bobo3bobo4b4o4bob2o$3b3o13bo4bo2bo15bo2bo4bo13b3o$bobo23bobo
11bobo23bobo$o23bob3obo9bob3obo23bo$4b2o21bo15bo21b2o$2bob3o20b2o13b2o
20b3obo$2o4b2o18bobobo9bobobo18b2o4b2o$2o5bo2b3o15b3o9b3o15b3o2bo5b2o$
b2o5bo4bo15bo11bo15bo4bo5b2o$7b4o4bo10bo2bo11bo2bo10bo4b4o$5bo7bo2bo8b
o3bo11bo3bo8bo2bo7bo$4b2o3b2o20bo7bo20b2o3b2o$6bo2bo8bo5b5o3bo5bo3b5o
5bo8bo2bo$17b2o4b3ob2o4bo3bo4b2ob3o4b2o$6bobo6b3o6bo2bob3o2bobo2b3obo
2bo6b3o6bobo$14bo2bo12b2obo3bob2o12bo2bo$25bo19bo$14b5o9bo13bo9b5o$14b
2ob3o7b2o13b2o7b3ob2o$13bobo2bo6b3o15b3o6bo2bobo$12b2o10bo2bo15bo2bo
10b2o$13b2o2bo35bo2b2o$24b5o13b5o$24b2ob3o11b3ob2o$23bobo2bo13bo2bobo$
22b2o23b2o$23b2o2bo15bo2b2o6$23b2o21b2o$22bo3bo17bo3bo$19b2obo3b3o13b
3o3bob2o$21bo7bo11bo7bo$19b2o4b2o17b2o4b2o$18b2o4b4o2bo9bo2b4o4b2o$13b
2o4bo3b3obo2bobo5bobo2bob3o3bo4b2o$11b2o2b2o7bo2b3o3bo3bo3b3o2bo7b2o2b
2o$9bo8b3o8bo3b2ob2o3bo8b3o8bo$8b2ob6obob2o3bo3bo11bo3bo3b2obob6ob2o$
8bo2bo2bobo3bo7bo2b4ob4o2bo7bo3bobo2bo2bo$9b3o2bobob3o10b2o5b2o10b3obo
bo2b3o$6b2o11bobo6bobo9bobo6bobo11b2o$4bo2bo8bo2bo7b3o11b3o7bo2bo8bo2b
o$3b2obo4b4o4bobo3bobo15bobo3bobo4b4o4bob2o$3b3o13bo4bo2bo15bo2bo4bo
13b3o$bobo23bobo11bobo23bobo$o23bob3obo9bob3obo23bo$4b2o21bo15bo21b2o$
2bob3o20b2o13b2o20b3obo$2o4b2o18bobobo9bobobo18b2o4b2o$2o5bo2b3o15b3o
9b3o15b3o2bo5b2o$b2o5bo4bo15bo11bo15bo4bo5b2o$7b4o15bo2bo11bo2bo15b4o$
5bo8b2o9bo3bo11bo3bo9b2o8bo$4b2o3b2o20bo7bo20b2o3b2o$6bo2bo7bo6b5o3bo
5bo3b5o6bo7bo2bo$15bob2o4b3ob2o4bo3bo4b2ob3o4b2obo$6bobo5bo3bo5bo2bob
3o2bobo2b3obo2bo5bo3bo5bobo$13bo16b2obo3bob2o16bo$6b2o11bo5bo19bo5bo
11b2o$13bob3o2bo7bo13bo7bo2b3obo$8b3o16b2o13b2o16b3o$7b2o9bobo7b3o9b3o
7bobo9b2o$6bo2b2o17bo2bo7bo2bo17b2o2bo$5bo59bo$6bobo2bo15b5o7b5o15bo2b
obo$7b3o2bo13b3ob2o7b2ob3o13bo2b3o$8b2obo15bo2bobo5bobo2bo15bob2o$32b
2o3b2o$28bo2b2o5b2o2bo6$23b2o21b2o$22bo3bo17bo3bo$19b2obo3b3o13b3o3bob
2o$21bo7bo11bo7bo$19b2o4b2o17b2o4b2o$18b2o4b4o2bo9bo2b4o4b2o$13b2o4bo
3b3obo2bobo5bobo2bob3o3bo4b2o$11b2o2b2o7bo2b3o3bo3bo3b3o2bo7b2o2b2o$9b
o8b3o8bo3b2ob2o3bo8b3o8bo$8b2ob6obob2o3bo3bo11bo3bo3b2obob6ob2o$8bo2bo
2bobo3bo7bo2b4ob4o2bo7bo3bobo2bo2bo$9b3o2bobob3o10b2o5b2o10b3obobo2b3o
$6b2o11bobo6bobo9bobo6bobo11b2o$4bo2bo8bo2bo7b3o11b3o7bo2bo8bo2bo$3b2o
bo4b4o4bobo3bobo15bobo3bobo4b4o4bob2o$3b3o13bo4bo2bo15bo2bo4bo13b3o$bo
bo23bobo11bobo23bobo$o23bob3obo9bob3obo23bo$4b2o21bo15bo21b2o$2bob3o
20b2o13b2o20b3obo$2o4b2o18bobobo9bobobo18b2o4b2o$2o5bo2b3o15b3o9b3o15b
3o2bo5b2o$b2o5bo4bo15bo11bo15bo4bo5b2o$7b4o15bo2bo11bo2bo15b4o$5bo8b2o
9bo3bo11bo3bo9b2o8bo$4b2o3b2o20bo7bo20b2o3b2o$6bo2bo7bo6b5o3bo5bo3b5o
6bo7bo2bo$15bob2o4b3ob2o4bo3bo4b2ob3o4b2obo$6bobo5bo3bo5bo2bob3o2bobo
2b3obo2bo5bo3bo5bobo$13bo16b2obo3bob2o16bo$6b2o11bo5bo19bo5bo11b2o$13b
ob3o2bo7bo13bo7bo2b3obo$8b3o16b2o13b2o16b3o$7b2o9bobo4b3o15b3o4bobo9b
2o$6bo2b2o13bo2bo15bo2bo13b2o2bo$5bo59bo$6bobo2bo12b5o13b5o12bo2bobo$
7b3o2bo11b2ob3o11b3ob2o11bo2b3o$8b2obo11bobo2bo13bo2bobo11bob2o$22b2o
23b2o$23b2o2bo15bo2b2o6$23b2o21b2o$22bo3bo17bo3bo$19b2obo3b3o13b3o3bob
2o$21bo7bo11bo7bo$19b2o4b2o17b2o4b2o$18b2o4b4o2bo9bo2b4o4b2o$13b2o4bo
3b3obo2bobo5bobo2bob3o3bo4b2o$11b2o2b2o7bo2b3o3bo3bo3b3o2bo7b2o2b2o$9b
o8b3o8bo3b2ob2o3bo8b3o8bo$8b2ob6obob2o3bo3bo11bo3bo3b2obob6ob2o$8bo2bo
2bobo3bo7bo2b4ob4o2bo7bo3bobo2bo2bo$9b3o2bobob3o10b2o5b2o10b3obobo2b3o
$6b2o11bobo6bobo9bobo6bobo11b2o$4bo2bo8bo2bo7b3o11b3o7bo2bo8bo2bo$3b2o
bo4b4o4bobo3bobo15bobo3bobo4b4o4bob2o$3b3o13bo4bo2bo15bo2bo4bo13b3o$bo
bo23bobo11bobo23bobo$o23bob3obo9bob3obo23bo$4b2o21bo15bo21b2o$2bob3o
20b2o13b2o20b3obo$2o4b2o18bobobo9bobobo18b2o4b2o$2o5bo2b3o15b3o9b3o15b
3o2bo5b2o$b2o5bo4bo15bo11bo15bo4bo5b2o$7b4o4bo10bo2bo11bo2bo10bo4b4o$
5bo7bo2bo8bo3bo11bo3bo8bo2bo7bo$4b2o3b2o20bo7bo20b2o3b2o$6bo2bo8bo5b5o
3bo5bo3b5o5bo8bo2bo$17b2o4b3ob2o4bo3bo4b2ob3o4b2o$6bobo9b3o3bo2bob3o2b
obo2b3obo2bo3b3o9bobo$18bo2bo8b2obo3bob2o8bo2bo$6b2o8bo8bo19bo8bo8b2o$
15bo2bo2b2o5bo13bo5b2o2bo2bo$8b3o5bo3b4o3b2o13b2o3b4o3bo5b3o$7b2o12b2o
5b3o9b3o5b2o12b2o$6bo2b2o17bo2bo7bo2bo17b2o2bo$5bo59bo$6bobo2bo15b5o7b
5o15bo2bobo$7b3o2bo13b3ob2o7b2ob3o13bo2b3o$8b2obo15bo2bobo5bobo2bo15bo
b2o$32b2o3b2o$28bo2b2o5b2o2bo6$23b2o21b2o$22bo3bo17bo3bo$19b2obo3b3o
13b3o3bob2o$21bo7bo11bo7bo$19b2o4b2o17b2o4b2o$18b2o4b4o2bo9bo2b4o4b2o$
13b2o4bo3b3obo2bobo5bobo2bob3o3bo4b2o$11b2o2b2o7bo2b3o3bo3bo3b3o2bo7b
2o2b2o$9bo8b3o8bo3b2ob2o3bo8b3o8bo$8b2ob6obob2o3bo3bo11bo3bo3b2obob6ob
2o$8bo2bo2bobo3bo7bo2b4ob4o2bo7bo3bobo2bo2bo$9b3o2bobob3o10b2o5b2o10b
3obobo2b3o$6b2o11bobo6bobo9bobo6bobo11b2o$4bo2bo8bo2bo7b3o11b3o7bo2bo
8bo2bo$3b2obo4b4o4bobo3bobo15bobo3bobo4b4o4bob2o$3b3o13bo4bo2bo15bo2bo
4bo13b3o$bobo23bobo11bobo23bobo$o23bob3obo9bob3obo23bo$4b2o21bo15bo21b
2o$2bob3o20b2o13b2o20b3obo$2o4b2o18bobobo9bobobo18b2o4b2o$2o5bo2b3o15b
3o9b3o15b3o2bo5b2o$b2o5bo4bo15bo11bo15bo4bo5b2o$7b4o4bo10bo2bo11bo2bo
10bo4b4o$5bo7bo2bo8bo3bo11bo3bo8bo2bo7bo$4b2o3b2o6bo13bo7bo13bo6b2o3b
2o$6bo2bo14b5o3bo5bo3b5o14bo2bo$15bobo5b3ob2o4bo3bo4b2ob3o5bobo$6bobo
4bo10bo2bob3o2bobo2b3obo2bo10bo4bobo$12b2o3bo12b2obo3bob2o12bo3b2o$9b
2o2bo4bo6bo19bo6bo4bo2b2o$8bobo5bo11bo13bo11bo5bobo$10bo9bo6b2o13b2o6b
o9bo$7bo10bob2o6b3o9b3o6b2obo10bo$6bo4bo5bo3bo6bo2bo7bo2bo6bo3bo5bo4bo
$9b2obo3bo37bo3bob2o$6bobo4bo8bo4b5o7b5o4bo8bo4bobo$5bo6bo3bob3o2bo2b
3ob2o7b2ob3o2bo2b3obo3bo6bo$4bo3bo18bo2bobo5bobo2bo18bo3bo$21bobo8b2o
3b2o8bobo$4bobo21bo2b2o5b2o2bo21bobo6$23b2o21b2o$22bo3bo17bo3bo$19b2ob
o3b3o13b3o3bob2o$21bo7bo11bo7bo$19b2o4b2o17b2o4b2o$18b2o4b4o2bo9bo2b4o
4b2o$13b2o4bo3b3obo2bobo5bobo2bob3o3bo4b2o$11b2o2b2o7bo2b3o3bo3bo3b3o
2bo7b2o2b2o$9bo8b3o8bo3b2ob2o3bo8b3o8bo$8b2ob6obob2o3bo3bo11bo3bo3b2ob
ob6ob2o$8bo2bo2bobo3bo7bo2b4ob4o2bo7bo3bobo2bo2bo$9b3o2bobob3o10b2o5b
2o10b3obobo2b3o$6b2o11bobo6bobo9bobo6bobo11b2o$4bo2bo8bo2bo7b3o11b3o7b
o2bo8bo2bo$3b2obo4b4o4bobo3bobo15bobo3bobo4b4o4bob2o$3b3o13bo4bo2bo15b
o2bo4bo13b3o$bobo23bobo11bobo23bobo$o23bob3obo9bob3obo23bo$4b2o21bo15b
o21b2o$2bob3o20b2o13b2o20b3obo$2o4b2o18bobobo9bobobo18b2o4b2o$2o5bo2b
3o15b3o9b3o15b3o2bo5b2o$b2o5bo4bo15bo11bo15bo4bo5b2o$7b4o15bo2bo11bo2b
o15b4o$5bo8b2o9bo3bo11bo3bo9b2o8bo$4b2o3b2o20bo7bo20b2o3b2o$6bo2bo7bo
6b5o3bo5bo3b5o6bo7bo2bo$15bob2o4b3ob2o4bo3bo4b2ob3o4b2obo$6bobo5bo3bo
5bo2bob3o2bobo2b3obo2bo5bo3bo5bobo$13bo16b2obo3bob2o16bo$9b2o8bo5bo19b
o5bo8b2o$13bob3o2bo7bo13bo7bo2b3obo$6b3o18b2o13b2o18b3o$8b2o8bobo7b3o
9b3o7bobo8b2o$6b2o2bo17bo2bo7bo2bo17bo2b2o$11bo47bo$5bo2bobo16b5o7b5o
16bobo2bo$4bo2b3o16b3ob2o7b2ob3o16b3o2bo$5bob2o18bo2bobo5bobo2bo18b2ob
o$32b2o3b2o$28bo2b2o5b2o2bo6$23b2o21b2o$22bo3bo17bo3bo$19b2obo3b3o13b
3o3bob2o$21bo7bo11bo7bo$19b2o4b2o17b2o4b2o$18b2o4b4o2bo9bo2b4o4b2o$13b
2o4bo3b3obo2bobo5bobo2bob3o3bo4b2o$11b2o2b2o7bo2b3o3bo3bo3b3o2bo7b2o2b
2o$9bo8b3o8bo3b2ob2o3bo8b3o8bo$8b2ob6obob2o3bo3bo11bo3bo3b2obob6ob2o$
8bo2bo2bobo3bo7bo2b4ob4o2bo7bo3bobo2bo2bo$9b3o2bobob3o10b2o5b2o10b3obo
bo2b3o$6b2o11bobo6bobo9bobo6bobo11b2o$4bo2bo8bo2bo7b3o11b3o7bo2bo8bo2b
o$3b2obo4b4o4bobo3bobo15bobo3bobo4b4o4bob2o$3b3o13bo4bo2bo15bo2bo4bo
13b3o$bobo23bobo11bobo23bobo$o23bob3obo9bob3obo23bo$4b2o21bo15bo21b2o$
2bob3o20b2o13b2o20b3obo$2o4b2o18bobobo9bobobo18b2o4b2o$2o5bo2b3o15b3o
9b3o15b3o2bo5b2o$b2o5bo4bo15bo11bo15bo4bo5b2o$7b4o15bo2bo11bo2bo15b4o$
5bo8b2o9bo3bo11bo3bo9b2o8bo$4b2o3b2o20bo7bo20b2o3b2o$6bo2bo7bo6b5o3bo
5bo3b5o6bo7bo2bo$15bob2o4b3ob2o4bo3bo4b2ob3o4b2obo$6bobo5bo3bo5bo2bob
3o2bobo2b3obo2bo5bo3bo5bobo$13bo16b2obo3bob2o16bo$9b2o8bo5bo19bo5bo8b
2o$13bob3o2bo7bo13bo7bo2b3obo$6b3o18b2o13b2o18b3o$8b2o8bobo4b3o15b3o4b
obo8b2o$6b2o2bo13bo2bo15bo2bo13bo2b2o$11bo47bo$5bo2bobo13b5o13b5o13bob
o2bo$4bo2b3o14b2ob3o11b3ob2o14b3o2bo$5bob2o14bobo2bo13bo2bobo14b2obo$
22b2o23b2o$23b2o2bo15bo2b2o6$23b2o21b2o$22bo3bo17bo3bo$19b2obo3b3o13b
3o3bob2o$21bo7bo11bo7bo$19b2o4b2o17b2o4b2o$18b2o4b4o2bo9bo2b4o4b2o$13b
2o4bo3b3obo2bobo5bobo2bob3o3bo4b2o$11b2o2b2o7bo2b3o3bo3bo3b3o2bo7b2o2b
2o$9bo8b3o8bo3b2ob2o3bo8b3o8bo$8b2ob6obob2o3bo3bo11bo3bo3b2obob6ob2o$
8bo2bo2bobo3bo7bo2b4ob4o2bo7bo3bobo2bo2bo$9b3o2bobob3o10b2o5b2o10b3obo
bo2b3o$6b2o11bobo6bobo9bobo6bobo11b2o$4bo2bo8bo2bo7b3o11b3o7bo2bo8bo2b
o$3b2obo4b4o4bobo3bobo15bobo3bobo4b4o4bob2o$3b3o13bo4bo2bo15bo2bo4bo
13b3o$bobo23bobo11bobo23bobo$o23bob3obo9bob3obo23bo$4b2o21bo15bo21b2o$
2bob3o20b2o13b2o20b3obo$2o4b2o18bobobo9bobobo18b2o4b2o$2o5bo2b3o15b3o
9b3o15b3o2bo5b2o$b2o5bo4bo15bo11bo15bo4bo5b2o$7b4o4bo10bo2bo11bo2bo10b
o4b4o$5bo7bo2bo8bo3bo11bo3bo8bo2bo7bo$4b2o3b2o20bo7bo20b2o3b2o$6bo2bo
8bo5b5o3bo5bo3b5o5bo8bo2bo$17b2o4b3ob2o4bo3bo4b2ob3o4b2o$6bobo9b3o3bo
2bob3o2bobo2b3obo2bo3b3o9bobo$18bo2bo8b2obo3bob2o8bo2bo$9b2o5bo8bo19bo
8bo5b2o$15bo2bo2b2o5bo13bo5b2o2bo2bo$6b3o7bo3b4o3b2o13b2o3b4o3bo7b3o$
8b2o11b2o5b3o9b3o5b2o11b2o$6b2o2bo17bo2bo7bo2bo17bo2b2o$11bo47bo$5bo2b
obo16b5o7b5o16bobo2bo$4bo2b3o16b3ob2o7b2ob3o16b3o2bo$5bob2o18bo2bobo5b
obo2bo18b2obo$32b2o3b2o$28bo2b2o5b2o2bo6$23b2o21b2o$22bo3bo17bo3bo$19b
2obo3b3o13b3o3bob2o$21bo7bo11bo7bo$19b2o4b2o17b2o4b2o$18b2o4b4o2bo9bo
2b4o4b2o$13b2o4bo3b3obo2bobo5bobo2bob3o3bo4b2o$11b2o2b2o7bo2b3o3bo3bo
3b3o2bo7b2o2b2o$9bo8b3o8bo3b2ob2o3bo8b3o8bo$8b2ob6obob2o3bo3bo11bo3bo
3b2obob6ob2o$8bo2bo2bobo3bo7bo2b4ob4o2bo7bo3bobo2bo2bo$9b3o2bobob3o10b
2o5b2o10b3obobo2b3o$6b2o11bobo6bobo9bobo6bobo11b2o$4bo2bo8bo2bo7b3o11b
3o7bo2bo8bo2bo$3b2obo4b4o4bobo3bobo15bobo3bobo4b4o4bob2o$3b3o13bo4bo2b
o15bo2bo4bo13b3o$bobo23bobo11bobo23bobo$o23bob3obo9bob3obo23bo$4b2o21b
o15bo21b2o$2bob3o20b2o13b2o20b3obo$2o4b2o18bobobo9bobobo18b2o4b2o$2o5b
o2b3o15b3o9b3o15b3o2bo5b2o$b2o5bo4bo15bo11bo15bo4bo5b2o$7b4o15bo2bo11b
o2bo15b4o$5bo8b2o9bo3bo11bo3bo9b2o8bo$4b2o3b2o20bo7bo20b2o3b2o$6bo2bo
7bo6b5o3bo5bo3b5o6bo7bo2bo$15bob2o4b3ob2o4bo3bo4b2ob3o4b2obo$6bobo5bo
3bo5bo2bob3o2bobo2b3obo2bo5bo3bo5bobo$13bo16b2obo3bob2o16bo$6b2o11bo5b
o19bo5bo11b2o$6bo6bob3o2bo7bo13bo7bo2b3obo6bo$5b4o18b2o13b2o18b4o$4bo
5b3o5bobo7b3o9b3o7bobo5b3o5bo$10b3o15bo2bo7bo2bo15b3o$4bo8bo43bo8bo$6b
3o3bobo12b5o7b5o12bobo3b3o$5bo20b3ob2o7b2ob3o20bo$4b2o6bobo12bo2bobo5b
obo2bo12bobo6b2o$3b3o26b2o3b2o26b3o$4bo23bo2b2o5b2o2bo23bo6$23b2o21b2o
$22bo3bo17bo3bo$19b2obo3b3o13b3o3bob2o$21bo7bo11bo7bo$19b2o4b2o17b2o4b
2o$18b2o4b4o2bo9bo2b4o4b2o$13b2o4bo3b3obo2bobo5bobo2bob3o3bo4b2o$11b2o
2b2o7bo2b3o3bo3bo3b3o2bo7b2o2b2o$9bo8b3o8bo3b2ob2o3bo8b3o8bo$8b2ob6obo
b2o3bo3bo11bo3bo3b2obob6ob2o$8bo2bo2bobo3bo7bo2b4ob4o2bo7bo3bobo2bo2bo
$9b3o2bobob3o10b2o5b2o10b3obobo2b3o$6b2o11bobo6bobo9bobo6bobo11b2o$4bo
2bo8bo2bo7b3o11b3o7bo2bo8bo2bo$3b2obo4b4o4bobo3bobo15bobo3bobo4b4o4bob
2o$3b3o13bo4bo2bo15bo2bo4bo13b3o$bobo23bobo11bobo23bobo$o23bob3obo9bob
3obo23bo$4b2o21bo15bo21b2o$2bob3o20b2o13b2o20b3obo$2o4b2o18bobobo9bobo
bo18b2o4b2o$2o5bo2b3o15b3o9b3o15b3o2bo5b2o$b2o5bo4bo15bo11bo15bo4bo5b
2o$7b4o15bo2bo11bo2bo15b4o$5bo8b2o9bo3bo11bo3bo9b2o8bo$4b2o3b2o20bo7bo
20b2o3b2o$6bo2bo7bo6b5o3bo5bo3b5o6bo7bo2bo$15bob2o4b3ob2o4bo3bo4b2ob3o
4b2obo$6bobo5bo3bo5bo2bob3o2bobo2b3obo2bo5bo3bo5bobo$13bo16b2obo3bob2o
16bo$6b2o11bo5bo19bo5bo11b2o$6bo6bob3o2bo7bo13bo7bo2b3obo6bo$5b4o18b2o
13b2o18b4o$4bo5b3o5bobo4b3o15b3o4bobo5b3o5bo$10b3o11bo2bo15bo2bo11b3o$
4bo8bo43bo8bo$6b3o3bobo9b5o13b5o9bobo3b3o$5bo18b2ob3o11b3ob2o18bo$4b2o
6bobo8bobo2bo13bo2bobo8bobo6b2o$3b3o16b2o23b2o16b3o$4bo18b2o2bo15bo2b
2o18bo6$23b2o21b2o$22bo3bo17bo3bo$19b2obo3b3o13b3o3bob2o$21bo7bo11bo7b
o$19b2o4b2o17b2o4b2o$18b2o4b4o2bo9bo2b4o4b2o$13b2o4bo3b3obo2bobo5bobo
2bob3o3bo4b2o$11b2o2b2o7bo2b3o3bo3bo3b3o2bo7b2o2b2o$9bo8b3o8bo3b2ob2o
3bo8b3o8bo$8b2ob6obob2o3bo3bo11bo3bo3b2obob6ob2o$8bo2bo2bobo3bo7bo2b4o
b4o2bo7bo3bobo2bo2bo$9b3o2bobob3o10b2o5b2o10b3obobo2b3o$6b2o11bobo6bob
o9bobo6bobo11b2o$4bo2bo8bo2bo7b3o11b3o7bo2bo8bo2bo$3b2obo4b4o4bobo3bob
o15bobo3bobo4b4o4bob2o$3b3o13bo4bo2bo15bo2bo4bo13b3o$bobo23bobo11bobo
23bobo$o23bob3obo9bob3obo23bo$4b2o21bo15bo21b2o$2bob3o20b2o13b2o20b3ob
o$2o4b2o18bobobo9bobobo18b2o4b2o$2o5bo2b3o15b3o9b3o15b3o2bo5b2o$b2o5bo
4bo15bo11bo15bo4bo5b2o$7b4o15bo2bo11bo2bo15b4o$5bo8b2o9bo3bo11bo3bo9b
2o8bo$4b2o3b2o20bo7bo20b2o3b2o$6bo2bo7bo6b5o3bo5bo3b5o6bo7bo2bo$15bob
2o4b3ob2o4bo3bo4b2ob3o4b2obo$6bobo5bo3bo5bo2bob3o2bobo2b3obo2bo5bo3bo
5bobo$13bo16b2obo3bob2o16bo$6b2o11bo5bo19bo5bo11b2o$13bob3o2bo7bo13bo
7bo2b3obo$3b3o21b2o13b2o21b3o$5b2o11bobo7b3o9b3o7bobo11b2o$3b2o2bo20bo
2bo7bo2bo20bo2b2o$8bo53bo$2bo2bobo19b5o7b5o19bobo2bo$bo2b3o19b3ob2o7b
2ob3o19b3o2bo$2bob2o21bo2bobo5bobo2bo21b2obo$32b2o3b2o$28bo2b2o5b2o2bo
6$23b2o21b2o$22bo3bo17bo3bo$19b2obo3b3o13b3o3bob2o$21bo7bo11bo7bo$19b
2o4b2o17b2o4b2o$18b2o4b4o2bo9bo2b4o4b2o$13b2o4bo3b3obo2bobo5bobo2bob3o
3bo4b2o$11b2o2b2o7bo2b3o3bo3bo3b3o2bo7b2o2b2o$9bo8b3o8bo3b2ob2o3bo8b3o
8bo$8b2ob6obob2o3bo3bo11bo3bo3b2obob6ob2o$8bo2bo2bobo3bo7bo2b4ob4o2bo
7bo3bobo2bo2bo$9b3o2bobob3o10b2o5b2o10b3obobo2b3o$6b2o11bobo6bobo9bobo
6bobo11b2o$4bo2bo8bo2bo7b3o11b3o7bo2bo8bo2bo$3b2obo4b4o4bobo3bobo15bob
o3bobo4b4o4bob2o$3b3o13bo4bo2bo15bo2bo4bo13b3o$bobo23bobo11bobo23bobo$
o23bob3obo9bob3obo23bo$4b2o21bo15bo21b2o$2bob3o20b2o13b2o20b3obo$2o4b
2o18bobobo9bobobo18b2o4b2o$2o5bo2b3o15b3o9b3o15b3o2bo5b2o$b2o5bo4bo15b
o11bo15bo4bo5b2o$7b4o15bo2bo11bo2bo15b4o$5bo8b2o9bo3bo11bo3bo9b2o8bo$
4b2o3b2o20bo7bo20b2o3b2o$6bo2bo7bo6b5o3bo5bo3b5o6bo7bo2bo$15bob2o4b3ob
2o4bo3bo4b2ob3o4b2obo$6bobo5bo3bo5bo2bob3o2bobo2b3obo2bo5bo3bo5bobo$
13bo16b2obo3bob2o16bo$6b2o11bo5bo19bo5bo11b2o$13bob3o2bo7bo13bo7bo2b3o
bo$3b3o21b2o13b2o21b3o$5b2o11bobo4b3o15b3o4bobo11b2o$3b2o2bo16bo2bo15b
o2bo16bo2b2o$8bo53bo$2bo2bobo16b5o13b5o16bobo2bo$bo2b3o17b2ob3o11b3ob
2o17b3o2bo$2bob2o17bobo2bo13bo2bobo17b2obo$22b2o23b2o$23b2o2bo15bo2b2o
6$23b2o21b2o$22bo3bo17bo3bo$19b2obo3b3o13b3o3bob2o$21bo7bo11bo7bo$19b
2o4b2o17b2o4b2o$18b2o4b4o2bo9bo2b4o4b2o$13b2o4bo3b3obo2bobo5bobo2bob3o
3bo4b2o$11b2o2b2o7bo2b3o3bo3bo3b3o2bo7b2o2b2o$9bo8b3o8bo3b2ob2o3bo8b3o
8bo$8b2ob6obob2o3bo3bo11bo3bo3b2obob6ob2o$8bo2bo2bobo3bo7bo2b4ob4o2bo
7bo3bobo2bo2bo$9b3o2bobob3o10b2o5b2o10b3obobo2b3o$6b2o11bobo6bobo9bobo
6bobo11b2o$4bo2bo8bo2bo7b3o11b3o7bo2bo8bo2bo$3b2obo4b4o4bobo3bobo15bob
o3bobo4b4o4bob2o$3b3o13bo4bo2bo15bo2bo4bo13b3o$bobo23bobo11bobo23bobo$
o23bob3obo9bob3obo23bo$4b2o21bo15bo21b2o$2bob3o20b2o13b2o20b3obo$2o4b
2o18bobobo9bobobo18b2o4b2o$2o5bo2b3o15b3o9b3o15b3o2bo5b2o$b2o5bo4bo15b
o11bo15bo4bo5b2o$7b4o4bo10bo2bo11bo2bo10bo4b4o$5bo7bo2bo8bo3bo11bo3bo
8bo2bo7bo$4b2o3b2o20bo7bo20b2o3b2o$6bo2bo8bo5b5o3bo5bo3b5o5bo8bo2bo$
17b2o4b3ob2o4bo3bo4b2ob3o4b2o$6bobo9b3o3bo2bob3o2bobo2b3obo2bo3b3o9bob
o$18bo2bo8b2obo3bob2o8bo2bo$6b2o8bo8bo19bo8bo8b2o$15bo2bo2b2o5bo13bo5b
2o2bo2bo$3b3o10bo3b4o3b2o13b2o3b4o3bo10b3o$5b2o14b2o5b3o9b3o5b2o14b2o$
3b2o2bo20bo2bo7bo2bo20bo2b2o$8bo53bo$2bo2bobo19b5o7b5o19bobo2bo$bo2b3o
19b3ob2o7b2ob3o19b3o2bo$2bob2o21bo2bobo5bobo2bo21b2obo$32b2o3b2o$28bo
2b2o5b2o2bo6$23b2o21b2o$22bo3bo17bo3bo$19b2obo3b3o13b3o3bob2o$21bo7bo
11bo7bo$19b2o4b2o17b2o4b2o$18b2o4b4o2bo9bo2b4o4b2o$13b2o4bo3b3obo2bobo
5bobo2bob3o3bo4b2o$11b2o2b2o7bo2b3o3bo3bo3b3o2bo7b2o2b2o$9bo8b3o8bo3b
2ob2o3bo8b3o8bo$8b2ob6obob2o3bo3bo11bo3bo3b2obob6ob2o$8bo2bo2bobo3bo7b
o2b4ob4o2bo7bo3bobo2bo2bo$9b3o2bobob3o10b2o5b2o10b3obobo2b3o$6b2o11bob
o6bobo9bobo6bobo11b2o$4bo2bo8bo2bo7b3o11b3o7bo2bo8bo2bo$3b2obo4b4o4bob
o3bobo15bobo3bobo4b4o4bob2o$3b3o13bo4bo2bo15bo2bo4bo13b3o$bobo23bobo
11bobo23bobo$o23bob3obo9bob3obo23bo$4b2o21bo15bo21b2o$2bob3o20b2o13b2o
20b3obo$2o4b2o18bobobo9bobobo18b2o4b2o$2o5bo2b3o15b3o9b3o15b3o2bo5b2o$
b2o5bo4bo15bo11bo15bo4bo5b2o$7b4o4bo10bo2bo11bo2bo10bo4b4o$5bo7bo2bo8b
o3bo11bo3bo8bo2bo7bo$4b2o3b2o20bo7bo20b2o3b2o$6bo2bo8bo5b5o3bo5bo3b5o
5bo8bo2bo$17b2o4b3ob2o4bo3bo4b2ob3o4b2o$6bobo6b3o6bo2bob3o2bobo2b3obo
2bo6b3o6bobo$14bo2bo12b2obo3bob2o12bo2bo$6b2o17bo19bo17b2o$14b5o9bo13b
o9b5o$3b3o8b2ob3o7b2o13b2o7b3ob2o8b3o$5b2o6bobo2bo9b3o9b3o9bo2bobo6b2o
$3b2o2bo4b2o14bo2bo7bo2bo14b2o4bo2b2o$8bo4b2o2bo35bo2b2o4bo$2bo2bobo
19b5o7b5o19bobo2bo$bo2b3o19b3ob2o7b2ob3o19b3o2bo$2bob2o21bo2bobo5bobo
2bo21b2obo$32b2o3b2o$28bo2b2o5b2o2bo6$23b2o21b2o$22bo3bo17bo3bo$19b2ob
o3b3o13b3o3bob2o$21bo7bo11bo7bo$19b2o4b2o17b2o4b2o$18b2o4b4o2bo9bo2b4o
4b2o$13b2o4bo3b3obo2bobo5bobo2bob3o3bo4b2o$11b2o2b2o7bo2b3o3bo3bo3b3o
2bo7b2o2b2o$9bo8b3o8bo3b2ob2o3bo8b3o8bo$8b2ob6obob2o3bo3bo11bo3bo3b2ob
ob6ob2o$8bo2bo2bobo3bo7bo2b4ob4o2bo7bo3bobo2bo2bo$9b3o2bobob3o10b2o5b
2o10b3obobo2b3o$6b2o11bobo6bobo9bobo6bobo11b2o$4bo2bo8bo2bo7b3o11b3o7b
o2bo8bo2bo$3b2obo4b4o4bobo3bobo15bobo3bobo4b4o4bob2o$3b3o13bo4bo2bo15b
o2bo4bo13b3o$bobo23bobo11bobo23bobo$o23bob3obo9bob3obo23bo$4b2o21bo15b
o21b2o$2bob3o20b2o13b2o20b3obo$2o4b2o18bobobo9bobobo18b2o4b2o$2o5bo2b
3o15b3o9b3o15b3o2bo5b2o$b2o5bo4bo15bo11bo15bo4bo5b2o$7b4o4bo10bo2bo11b
o2bo10bo4b4o$5bo7bo2bo8bo3bo11bo3bo8bo2bo7bo$4b2o3b2o20bo7bo20b2o3b2o$
6bo2bo8bo5b5o3bo5bo3b5o5bo8bo2bo$17b2o4b3ob2o4bo3bo4b2ob3o4b2o$6bobo6b
3o6bo2bob3o2bobo2b3obo2bo6b3o6bobo$14bo2bo12b2obo3bob2o12bo2bo$6b2o17b
o19bo17b2o$14b5o9bo13bo9b5o$3b3o8b2ob3o7b2o13b2o7b3ob2o8b3o$5b2o6bobo
2bo6b3o15b3o6bo2bobo6b2o$3b2o2bo4b2o10bo2bo15bo2bo10b2o4bo2b2o$8bo4b2o
2bo35bo2b2o4bo$2bo2bobo16b5o13b5o16bobo2bo$bo2b3o17b2ob3o11b3ob2o17b3o
2bo$2bob2o17bobo2bo13bo2bobo17b2obo$22b2o23b2o$23b2o2bo15bo2b2o6$23b2o
21b2o$22bo3bo17bo3bo$19b2obo3b3o13b3o3bob2o$21bo7bo11bo7bo$19b2o4b2o
17b2o4b2o$18b2o4b4o2bo9bo2b4o4b2o$13b2o4bo3b3obo2bobo5bobo2bob3o3bo4b
2o$11b2o2b2o7bo2b3o3bo3bo3b3o2bo7b2o2b2o$9bo8b3o8bo3b2ob2o3bo8b3o8bo$
8b2ob6obob2o3bo3bo11bo3bo3b2obob6ob2o$8bo2bo2bobo3bo7bo2b4ob4o2bo7bo3b
obo2bo2bo$9b3o2bobob3o10b2o5b2o10b3obobo2b3o$6b2o11bobo6bobo9bobo6bobo
11b2o$4bo2bo8bo2bo7b3o11b3o7bo2bo8bo2bo$3b2obo4b4o4bobo3bobo15bobo3bob
o4b4o4bob2o$3b3o13bo4bo2bo15bo2bo4bo13b3o$bobo23bobo11bobo23bobo$o23bo
b3obo9bob3obo23bo$4b2o21bo15bo21b2o$2bob3o20b2o13b2o20b3obo$2o4b2o18bo
bobo9bobobo18b2o4b2o$2o5bo20b3o9b3o20bo5b2o$b2o5bobo18bo11bo18bobo5b2o
$7b3obo14bo2bo11bo2bo14bob3o$5bob2o4bo11bo3bo11bo3bo11bo4b2obo$5b2o3bo
3bo16bo7bo16bo3bo3b2o$3b3o8bo9b5o3bo5bo3b5o9bo8b3o$2bo2bo8b2o7b3ob2o4b
o3bo4b2ob3o7b2o8bo2bo$24bo2bob3o2bobo2b3obo2bo$2b5o10bo12b2obo3bob2o
12bo10b5o$2b2ob3o7bob2o6bo19bo6b2obo7b3ob2o$bobo2bo7bo3bo9bo13bo9bo3bo
7bo2bobo$2o11bo13b2o13b2o13bo11b2o$b2o2bo13bo8b3o9b3o8bo13bo2b2o$13bob
3o2bo7bo2bo7bo2bo7bo2b3obo2$18bobo6b5o7b5o6bobo$26b3ob2o7b2ob3o$27bo2b
obo5bobo2bo$32b2o3b2o$28bo2b2o5b2o2bo6$23b2o21b2o$22bo3bo17bo3bo$19b2o
bo3b3o13b3o3bob2o$21bo7bo11bo7bo$19b2o4b2o17b2o4b2o$18b2o4b4o2bo9bo2b
4o4b2o$13b2o4bo3b3obo2bobo5bobo2bob3o3bo4b2o$11b2o2b2o7bo2b3o3bo3bo3b
3o2bo7b2o2b2o$9bo8b3o8bo3b2ob2o3bo8b3o8bo$8b2ob6obob2o3bo3bo11bo3bo3b
2obob6ob2o$8bo2bo2bobo3bo7bo2b4ob4o2bo7bo3bobo2bo2bo$9b3o2bobob3o10b2o
5b2o10b3obobo2b3o$6b2o11bobo6bobo9bobo6bobo11b2o$4bo2bo8bo2bo7b3o11b3o
7bo2bo8bo2bo$3b2obo4b4o4bobo3bobo15bobo3bobo4b4o4bob2o$3b3o13bo4bo2bo
15bo2bo4bo13b3o$bobo23bobo11bobo23bobo$o23bob3obo9bob3obo23bo$4b2o21bo
15bo21b2o$2bob3o20b2o13b2o20b3obo$2o4b2o18bobobo9bobobo18b2o4b2o$2o5bo
20b3o9b3o20bo5b2o$b2o5bobo18bo11bo18bobo5b2o$7b3obo14bo2bo11bo2bo14bob
3o$5bob2o4bo11bo3bo11bo3bo11bo4b2obo$5b2o3bo3bo16bo7bo16bo3bo3b2o$3b3o
8bo9b5o3bo5bo3b5o9bo8b3o$2bo2bo8b2o7b3ob2o4bo3bo4b2ob3o7b2o8bo2bo$24bo
2bob3o2bobo2b3obo2bo$2b5o10bo12b2obo3bob2o12bo10b5o$2b2ob3o7bob2o6bo
19bo6b2obo7b3ob2o$bobo2bo7bo3bo9bo13bo9bo3bo7bo2bobo$2o11bo13b2o13b2o
13bo11b2o$b2o2bo13bo5b3o15b3o5bo13bo2b2o$13bob3o2bo3bo2bo15bo2bo3bo2b
3obo2$18bobo3b5o13b5o3bobo$24b2ob3o11b3ob2o$23bobo2bo13bo2bobo$22b2o
23b2o$23b2o2bo15bo2b2o6$23b2o21b2o$22bo3bo17bo3bo$19b2obo3b3o13b3o3bob
2o$21bo7bo11bo7bo$19b2o4b2o17b2o4b2o$18b2o4b4o2bo9bo2b4o4b2o$13b2o4bo
3b3obo2bobo5bobo2bob3o3bo4b2o$11b2o2b2o7bo2b3o3bo3bo3b3o2bo7b2o2b2o$9b
o8b3o8bo3b2ob2o3bo8b3o8bo$8b2ob6obob2o3bo3bo11bo3bo3b2obob6ob2o$8bo2bo
2bobo3bo7bo2b4ob4o2bo7bo3bobo2bo2bo$9b3o2bobob3o10b2o5b2o10b3obobo2b3o
$6b2o11bobo6bobo9bobo6bobo11b2o$4bo2bo8bo2bo7b3o11b3o7bo2bo8bo2bo$3b2o
bo4b4o4bobo3bobo15bobo3bobo4b4o4bob2o$3b3o13bo4bo2bo15bo2bo4bo13b3o$bo
bo23bobo11bobo23bobo$o23bob3obo9bob3obo23bo$4b2o21bo15bo21b2o$2bob3o
20b2o13b2o20b3obo$2o4b2o18bobobo9bobobo18b2o4b2o$2o5bo20b3o9b3o20bo5b
2o$b2o5bobo18bo11bo18bobo5b2o$7b3obo14bo2bo11bo2bo14bob3o$5bob2o4bo11b
o3bo11bo3bo11bo4b2obo$5b2o3bo3bo16bo7bo16bo3bo3b2o$3b3o8bo9b5o3bo5bo3b
5o9bo8b3o$2bo2bo8b2o7b3ob2o4bo3bo4b2ob3o7b2o8bo2bo$24bo2bob3o2bobo2b3o
bo2bo$2b5o5bo17b2obo3bob2o17bo5b5o$2b2ob3o3b2obo10bo19bo10bob2o3b3ob2o
$bobo2bo4bo3bo12bo13bo12bo3bo4bo2bobo$2o14bo10b2o13b2o10bo14b2o$b2o2bo
4bo17b3o9b3o17bo4bo2b2o$9bo2b3obo11bo2bo7bo2bo11bob3o2bo2$9bobo15b5o7b
5o15bobo$26b3ob2o7b2ob3o$27bo2bobo5bobo2bo$32b2o3b2o$28bo2b2o5b2o2bo6$
23b2o21b2o$22bo3bo17bo3bo$19b2obo3b3o13b3o3bob2o$21bo7bo11bo7bo$19b2o
4b2o17b2o4b2o$18b2o4b4o2bo9bo2b4o4b2o$13b2o4bo3b3obo2bobo5bobo2bob3o3b
o4b2o$11b2o2b2o7bo2b3o3bo3bo3b3o2bo7b2o2b2o$9bo8b3o8bo3b2ob2o3bo8b3o8b
o$8b2ob6obob2o3bo3bo11bo3bo3b2obob6ob2o$8bo2bo2bobo3bo7bo2b4ob4o2bo7bo
3bobo2bo2bo$9b3o2bobob3o10b2o5b2o10b3obobo2b3o$6b2o11bobo6bobo9bobo6bo
bo11b2o$4bo2bo8bo2bo7b3o11b3o7bo2bo8bo2bo$3b2obo4b4o4bobo3bobo15bobo3b
obo4b4o4bob2o$3b3o13bo4bo2bo15bo2bo4bo13b3o$bobo23bobo11bobo23bobo$o
23bob3obo9bob3obo23bo$4b2o21bo15bo21b2o$2bob3o20b2o13b2o20b3obo$2o4b2o
18bobobo9bobobo18b2o4b2o$2o5bo20b3o9b3o20bo5b2o$b2o5bobo18bo11bo18bobo
5b2o$7b3obo14bo2bo11bo2bo14bob3o$5bob2o4bo11bo3bo11bo3bo11bo4b2obo$5b
2o3bo3bo16bo7bo16bo3bo3b2o$3b3o8bo9b5o3bo5bo3b5o9bo8b3o$2bo2bo8b2o7b3o
b2o4bo3bo4b2ob3o7b2o8bo2bo$24bo2bob3o2bobo2b3obo2bo$2b5o5bo17b2obo3bob
2o17bo5b5o$2b2ob3o3b2obo10bo19bo10bob2o3b3ob2o$bobo2bo4bo3bo12bo13bo
12bo3bo4bo2bobo$2o14bo10b2o13b2o10bo14b2o$b2o2bo4bo14b3o15b3o14bo4bo2b
2o$9bo2b3obo7bo2bo15bo2bo7bob3o2bo2$9bobo12b5o13b5o12bobo$24b2ob3o11b
3ob2o$23bobo2bo13bo2bobo$22b2o23b2o$23b2o2bo15bo2b2o6$23b2o21b2o$22bo
3bo17bo3bo$19b2obo3b3o13b3o3bob2o$21bo7bo11bo7bo$19b2o4b2o17b2o4b2o$
18b2o4b4o2bo9bo2b4o4b2o$13b2o4bo3b3obo2bobo5bobo2bob3o3bo4b2o$11b2o2b
2o7bo2b3o3bo3bo3b3o2bo7b2o2b2o$9bo8b3o8bo3b2ob2o3bo8b3o8bo$8b2ob6obob
2o3bo3bo11bo3bo3b2obob6ob2o$8bo2bo2bobo3bo7bo2b4ob4o2bo7bo3bobo2bo2bo$
9b3o2bobob3o10b2o5b2o10b3obobo2b3o$6b2o11bobo6bobo9bobo6bobo11b2o$4bo
2bo8bo2bo7b3o11b3o7bo2bo8bo2bo$3b2obo4b4o4bobo3bobo15bobo3bobo4b4o4bob
2o$3b3o13bo4bo2bo15bo2bo4bo13b3o$bobo23bobo11bobo23bobo$o23bob3obo9bob
3obo23bo$27bo15bo$27b2o13b2o$6o20bobobo9bobobo20b6o$4bo2bo20b3o9b3o20b
o2bo$8bo20bo11bo20bo$12bo13bo2bo11bo2bo13bo$7bobob3o11bo3bo11bo3bo11b
3obobo$13b2o16bo7bo16b2o$8bo2bo3bo8b5o3bo5bo3b5o8bo3bo2bo$5b3o7b2o6b3o
b2o4bo3bo4b2ob3o6b2o7b3o$5bobo2b2o12bo2bob3o2bobo2b3obo2bo12b2o2bobo$
6b2o2b2o5b3o10b2obo3bob2o10b3o5b2o2b2o$8bo7b2o7bo19bo7b2o7bo$15bo2b2o
8bo13bo8b2o2bo$14bo12b2o13b2o12bo$15bobo2bo7b3o9b3o7bo2bobo$16b3o2bo6b
o2bo7bo2bo6bo2b3o$17b2obo29bob2o$27b5o7b5o$26b3ob2o7b2ob3o$27bo2bobo5b
obo2bo$32b2o3b2o$28bo2b2o5b2o2bo6$23b2o21b2o$22bo3bo17bo3bo$19b2obo3b
3o13b3o3bob2o$21bo7bo11bo7bo$19b2o4b2o17b2o4b2o$18b2o4b4o2bo9bo2b4o4b
2o$13b2o4bo3b3obo2bobo5bobo2bob3o3bo4b2o$11b2o2b2o7bo2b3o3bo3bo3b3o2bo
7b2o2b2o$9bo8b3o8bo3b2ob2o3bo8b3o8bo$8b2ob6obob2o3bo3bo11bo3bo3b2obob
6ob2o$8bo2bo2bobo3bo7bo2b4ob4o2bo7bo3bobo2bo2bo$9b3o2bobob3o10b2o5b2o
10b3obobo2b3o$6b2o11bobo6bobo9bobo6bobo11b2o$4bo2bo8bo2bo7b3o11b3o7bo
2bo8bo2bo$3b2obo4b4o4bobo3bobo15bobo3bobo4b4o4bob2o$3b3o13bo4bo2bo15bo
2bo4bo13b3o$bobo23bobo11bobo23bobo$o23bob3obo9bob3obo23bo$27bo15bo$27b
2o13b2o$6o20bobobo9bobobo20b6o$4bo2bo20b3o9b3o20bo2bo$8bo20bo11bo20bo$
12bo13bo2bo11bo2bo13bo$7bobob3o11bo3bo11bo3bo11b3obobo$13b2o16bo7bo16b
2o$8bo2bo3bo8b5o3bo5bo3b5o8bo3bo2bo$5b3o7b2o6b3ob2o4bo3bo4b2ob3o6b2o7b
3o$5bobo2b2o12bo2bob3o2bobo2b3obo2bo12b2o2bobo$6b2o2b2o5b3o10b2obo3bob
2o10b3o5b2o2b2o$8bo7b2o7bo19bo7b2o7bo$15bo2b2o8bo13bo8b2o2bo$14bo12b2o
13b2o12bo$15bobo2bo4b3o15b3o4bo2bobo$16b3o2bo2bo2bo15bo2bo2bo2b3o$17b
2obo29bob2o$24b5o13b5o$24b2ob3o11b3ob2o$23bobo2bo13bo2bobo$22b2o23b2o$
23b2o2bo15bo2b2o6$23b2o21b2o$22bo3bo17bo3bo$19b2obo3b3o13b3o3bob2o$21b
o7bo11bo7bo$19b2o4b2o17b2o4b2o$18b2o4b4o2bo9bo2b4o4b2o$13b2o4bo3b3obo
2bobo5bobo2bob3o3bo4b2o$11b2o2b2o7bo2b3o3bo3bo3b3o2bo7b2o2b2o$9bo8b3o
8bo3b2ob2o3bo8b3o8bo$8b2ob6obob2o3bo3bo11bo3bo3b2obob6ob2o$8bo2bo2bobo
3bo7bo2b4ob4o2bo7bo3bobo2bo2bo$9b3o2bobob3o10b2o5b2o10b3obobo2b3o$6b2o
11bobo6bobo9bobo6bobo11b2o$4bo2bo8bo2bo7b3o11b3o7bo2bo8bo2bo$3b2obo4b
4o4bobo3bobo15bobo3bobo4b4o4bob2o$3b3o13bo4bo2bo15bo2bo4bo13b3o$bobo
23bobo11bobo23bobo$o23bob3obo9bob3obo23bo$27bo15bo$27b2o13b2o$6o20bobo
bo9bobobo20b6o$4bo2bo20b3o9b3o20bo2bo$8bo20bo11bo20bo$12bo13bo2bo11bo
2bo13bo$7bobob3o11bo3bo11bo3bo11b3obobo$13b2o16bo7bo16b2o$8bo2bo3b2o7b
5o3bo5bo3b5o7b2o3bo2bo$5b3o9bo5b3ob2o4bo3bo4b2ob3o5bo9b3o$5bobo2b2o7bo
4bo2bob3o2bobo2b3obo2bo4bo7b2o2bobo$6b2o2b2o5bo2bo9b2obo3bob2o9bo2bo5b
2o2b2o$8bo16bo19bo16bo$22bo5bo13bo5bo$21b2o4b2o13b2o4b2o$19b3o6b3o9b3o
6b3o$18bo2bo6bo2bo7bo2bo6bo2bo2$18b5o4b5o7b5o4b5o$18b2ob3o2b3ob2o7b2ob
3o2b3ob2o$17bobo2bo4bo2bobo5bobo2bo4bo2bobo$16b2o14b2o3b2o14b2o$17b2o
2bo6bo2b2o5b2o2bo6bo2b2o6$23b2o21b2o$22bo3bo17bo3bo$19b2obo3b3o13b3o3b
ob2o$21bo7bo11bo7bo$19b2o4b2o17b2o4b2o$18b2o4b4o2bo9bo2b4o4b2o$13b2o4b
o3b3obo2bobo5bobo2bob3o3bo4b2o$11b2o2b2o7bo2b3o3bo3bo3b3o2bo7b2o2b2o$
9bo8b3o8bo3b2ob2o3bo8b3o8bo$8b2ob6obob2o3bo3bo11bo3bo3b2obob6ob2o$8bo
2bo2bobo3bo7bo2b4ob4o2bo7bo3bobo2bo2bo$9b3o2bobob3o10b2o5b2o10b3obobo
2b3o$6b2o11bobo6bobo9bobo6bobo11b2o$4bo2bo8bo2bo7b3o11b3o7bo2bo8bo2bo$
3b2obo4b4o4bobo3bobo15bobo3bobo4b4o4bob2o$3b3o13bo4bo2bo15bo2bo4bo13b
3o$bobo23bobo11bobo23bobo$o23bob3obo9bob3obo23bo$27bo15bo$27b2o13b2o$
6o20bobobo9bobobo20b6o$4bo2bo20b3o9b3o20bo2bo$8bo20bo11bo20bo$12bo13bo
2bo11bo2bo13bo$7bobob3o11bo3bo11bo3bo11b3obobo$13b2o16bo7bo16b2o$8bo2b
o3b2o7b5o3bo5bo3b5o7b2o3bo2bo$5b3o9bo5b3ob2o4bo3bo4b2ob3o5bo9b3o$5bobo
2b2o12bo2bob3o2bobo2b3obo2bo12b2o2bobo$6b2o2b2o6b2o10b2obo3bob2o10b2o
6b2o2b2o$8bo16bo19bo16bo$16bo11bo13bo11bo$15b2obo8b2o13b2o8bob2o$15bo
3bo8b3o9b3o8bo3bo$20bo7bo2bo7bo2bo7bo$14bo41bo$13bo2b3obo6b5o7b5o6bob
3o2bo$26b3ob2o7b2ob3o$13bobo11bo2bobo5bobo2bo11bobo$32b2o3b2o$28bo2b2o
5b2o2bo6$23b2o21b2o$22bo3bo17bo3bo$19b2obo3b3o13b3o3bob2o$21bo7bo11bo
7bo$19b2o4b2o17b2o4b2o$18b2o4b4o2bo9bo2b4o4b2o$13b2o4bo3b3obo2bobo5bob
o2bob3o3bo4b2o$11b2o2b2o7bo2b3o3bo3bo3b3o2bo7b2o2b2o$9bo8b3o8bo3b2ob2o
3bo8b3o8bo$8b2ob6obob2o3bo3bo11bo3bo3b2obob6ob2o$8bo2bo2bobo3bo7bo2b4o
b4o2bo7bo3bobo2bo2bo$9b3o2bobob3o10b2o5b2o10b3obobo2b3o$6b2o11bobo6bob
o9bobo6bobo11b2o$4bo2bo8bo2bo7b3o11b3o7bo2bo8bo2bo$3b2obo4b4o4bobo3bob
o15bobo3bobo4b4o4bob2o$3b3o13bo4bo2bo15bo2bo4bo13b3o$bobo23bobo11bobo
23bobo$o23bob3obo9bob3obo23bo$27bo15bo$27b2o13b2o$6o20bobobo9bobobo20b
6o$4bo2bo20b3o9b3o20bo2bo$8bo20bo11bo20bo$12bo13bo2bo11bo2bo13bo$7bobo
b3o11bo3bo11bo3bo11b3obobo$13b2o16bo7bo16b2o$8bo2bo3b2o7b5o3bo5bo3b5o
7b2o3bo2bo$5b3o9bo5b3ob2o4bo3bo4b2ob3o5bo9b3o$5bobo2b2o12bo2bob3o2bobo
2b3obo2bo12b2o2bobo$6b2o2b2o6b2o10b2obo3bob2o10b2o6b2o2b2o$8bo16bo19bo
16bo$16bo11bo13bo11bo$15b2obo8b2o13b2o8bob2o$15bo3bo5b3o15b3o5bo3bo$
20bo3bo2bo15bo2bo3bo$14bo41bo$13bo2b3obo3b5o13b5o3bob3o2bo$24b2ob3o11b
3ob2o$13bobo7bobo2bo13bo2bobo7bobo$22b2o23b2o$23b2o2bo15bo2b2o6$23b2o
21b2o$22bo3bo17bo3bo$19b2obo3b3o13b3o3bob2o$21bo7bo11bo7bo$19b2o4b2o
17b2o4b2o$18b2o4b4o2bo9bo2b4o4b2o$13b2o4bo3b3obo2bobo5bobo2bob3o3bo4b
2o$11b2o2b2o7bo2b3o3bo3bo3b3o2bo7b2o2b2o$9bo8b3o8bo3b2ob2o3bo8b3o8bo$
8b2ob6obob2o3bo3bo11bo3bo3b2obob6ob2o$8bo2bo2bobo3bo7bo2b4ob4o2bo7bo3b
obo2bo2bo$9b3o2bobob3o10b2o5b2o10b3obobo2b3o$6b2o11bobo6bobo9bobo6bobo
11b2o$4bo2bo8bo2bo7b3o11b3o7bo2bo8bo2bo$3b2obo4b4o4bobo3bobo15bobo3bob
o4b4o4bob2o$3b3o13bo4bo2bo15bo2bo4bo13b3o$bobo6bo4bo11bobo11bobo11bo4b
o6bobo$o8bo2b2o2bo7bob3obo9bob3obo7bo2b2o2bo8bo$10bob2obo11bo15bo11bob
2obo$27b2o13b2o$6o20bobobo9bobobo20b6o$4bo2bo20b3o9b3o20bo2bo$8bo20bo
11bo20bo$12bo13bo2bo11bo2bo13bo$7bobob3o11bo3bo11bo3bo11b3obobo$13b2o
16bo7bo16b2o$8bo2bo3bo8b5o3bo5bo3b5o8bo3bo2bo$5b3o7b2o6b3ob2o4bo3bo4b
2ob3o6b2o7b3o$5bobo2b2o12bo2bob3o2bobo2b3obo2bo12b2o2bobo$6b2o2b2o5b3o
10b2obo3bob2o10b3o5b2o2b2o$8bo7b2o7bo19bo7b2o7bo$15bo2b2o8bo13bo8b2o2b
o$14bo12b2o13b2o12bo$15bobo2bo7b3o9b3o7bo2bobo$16b3o2bo6bo2bo7bo2bo6bo
2b3o$17b2obo29bob2o$27b5o7b5o$26b3ob2o7b2ob3o$27bo2bobo5bobo2bo$32b2o
3b2o$28bo2b2o5b2o2bo6$23b2o21b2o$22bo3bo17bo3bo$19b2obo3b3o13b3o3bob2o
$21bo7bo11bo7bo$19b2o4b2o17b2o4b2o$18b2o4b4o2bo9bo2b4o4b2o$13b2o4bo3b
3obo2bobo5bobo2bob3o3bo4b2o$11b2o2b2o7bo2b3o3bo3bo3b3o2bo7b2o2b2o$9bo
8b3o8bo3b2ob2o3bo8b3o8bo$8b2ob6obob2o3bo3bo11bo3bo3b2obob6ob2o$8bo2bo
2bobo3bo7bo2b4ob4o2bo7bo3bobo2bo2bo$9b3o2bobob3o10b2o5b2o10b3obobo2b3o
$6b2o11bobo6bobo9bobo6bobo11b2o$4bo2bo8bo2bo7b3o11b3o7bo2bo8bo2bo$3b2o
bo4b4o4bobo3bobo15bobo3bobo4b4o4bob2o$3b3o13bo4bo2bo15bo2bo4bo13b3o$bo
bo6bo4bo11bobo11bobo11bo4bo6bobo$o8bo2b2o2bo7bob3obo9bob3obo7bo2b2o2bo
8bo$10bob2obo11bo15bo11bob2obo$27b2o13b2o$6o20bobobo9bobobo20b6o$4bo2b
o20b3o9b3o20bo2bo$8bo20bo11bo20bo$12bo13bo2bo11bo2bo13bo$7bobob3o11bo
3bo11bo3bo11b3obobo$13b2o16bo7bo16b2o$8bo2bo3bo8b5o3bo5bo3b5o8bo3bo2bo
$5b3o7b2o6b3ob2o4bo3bo4b2ob3o6b2o7b3o$5bobo2b2o12bo2bob3o2bobo2b3obo2b
o12b2o2bobo$6b2o2b2o5b3o10b2obo3bob2o10b3o5b2o2b2o$8bo7b2o7bo19bo7b2o
7bo$15bo2b2o8bo13bo8b2o2bo$14bo12b2o13b2o12bo$15bobo2bo4b3o15b3o4bo2bo
bo$16b3o2bo2bo2bo15bo2bo2bo2b3o$17b2obo29bob2o$24b5o13b5o$24b2ob3o11b
3ob2o$23bobo2bo13bo2bobo$22b2o23b2o$23b2o2bo15bo2b2o6$23b2o21b2o$22bo
3bo17bo3bo$19b2obo3b3o13b3o3bob2o$21bo7bo11bo7bo$19b2o4b2o17b2o4b2o$
18b2o4b4o2bo9bo2b4o4b2o$13b2o4bo3b3obo2bobo5bobo2bob3o3bo4b2o$11b2o2b
2o7bo2b3o3bo3bo3b3o2bo7b2o2b2o$9bo8b3o8bo3b2ob2o3bo8b3o8bo$8b2ob6obob
2o3bo3bo11bo3bo3b2obob6ob2o$8bo2bo2bobo3bo7bo2b4ob4o2bo7bo3bobo2bo2bo$
9b3o2bobob3o10b2o5b2o10b3obobo2b3o$6b2o11bobo6bobo9bobo6bobo11b2o$4bo
2bo8bo2bo7b3o11b3o7bo2bo8bo2bo$3b2obo4b4o4bobo3bobo15bobo3bobo4b4o4bob
2o$3b3o13bo4bo2bo15bo2bo4bo13b3o$bobo6bo4bo11bobo11bobo11bo4bo6bobo$o
8bo2b2o2bo7bob3obo9bob3obo7bo2b2o2bo8bo$10bob2obo11bo15bo11bob2obo$27b
2o13b2o$6o20bobobo9bobobo20b6o$4bo2bo20b3o9b3o20bo2bo$8bo20bo11bo20bo$
12bo13bo2bo11bo2bo13bo$7bobob3o11bo3bo11bo3bo11b3obobo$13b2o16bo7bo16b
2o$8bo2bo3b2o7b5o3bo5bo3b5o7b2o3bo2bo$5b3o9bo5b3ob2o4bo3bo4b2ob3o5bo9b
3o$5bobo2b2o7bo4bo2bob3o2bobo2b3obo2bo4bo7b2o2bobo$6b2o2b2o5bo2bo9b2ob
o3bob2o9bo2bo5b2o2b2o$8bo16bo19bo16bo$22bo5bo13bo5bo$21b2o4b2o13b2o4b
2o$19b3o6b3o9b3o6b3o$18bo2bo6bo2bo7bo2bo6bo2bo2$18b5o4b5o7b5o4b5o$18b
2ob3o2b3ob2o7b2ob3o2b3ob2o$17bobo2bo4bo2bobo5bobo2bo4bo2bobo$16b2o14b
2o3b2o14b2o$17b2o2bo6bo2b2o5b2o2bo6bo2b2o6$23b2o21b2o$22bo3bo17bo3bo$
19b2obo3b3o13b3o3bob2o$21bo7bo11bo7bo$19b2o4b2o17b2o4b2o$18b2o4b4o2bo
9bo2b4o4b2o$13b2o4bo3b3obo2bobo5bobo2bob3o3bo4b2o$11b2o2b2o7bo2b3o3bo
3bo3b3o2bo7b2o2b2o$9bo8b3o8bo3b2ob2o3bo8b3o8bo$8b2ob6obob2o3bo3bo11bo
3bo3b2obob6ob2o$8bo2bo2bobo3bo7bo2b4ob4o2bo7bo3bobo2bo2bo$9b3o2bobob3o
10b2o5b2o10b3obobo2b3o$6b2o11bobo6bobo9bobo6bobo11b2o$4bo2bo8bo2bo7b3o
11b3o7bo2bo8bo2bo$3b2obo4b4o4bobo3bobo15bobo3bobo4b4o4bob2o$3b3o13bo4b
o2bo15bo2bo4bo13b3o$bobo6bo4bo11bobo11bobo11bo4bo6bobo$o8bo2b2o2bo7bob
3obo9bob3obo7bo2b2o2bo8bo$10bob2obo11bo15bo11bob2obo$27b2o13b2o$6o20bo
bobo9bobobo20b6o$4bo2bo20b3o9b3o20bo2bo$8bo20bo11bo20bo$12bo13bo2bo11b
o2bo13bo$7bobob3o11bo3bo11bo3bo11b3obobo$13b2o16bo7bo16b2o$8bo2bo3b2o
7b5o3bo5bo3b5o7b2o3bo2bo$5b3o9bo5b3ob2o4bo3bo4b2ob3o5bo9b3o$5bobo2b2o
12bo2bob3o2bobo2b3obo2bo12b2o2bobo$6b2o2b2o6b2o10b2obo3bob2o10b2o6b2o
2b2o$8bo16bo19bo16bo$16bo11bo13bo11bo$15b2obo8b2o13b2o8bob2o$15bo3bo8b
3o9b3o8bo3bo$20bo7bo2bo7bo2bo7bo$14bo41bo$13bo2b3obo6b5o7b5o6bob3o2bo$
26b3ob2o7b2ob3o$13bobo11bo2bobo5bobo2bo11bobo$32b2o3b2o$28bo2b2o5b2o2b
o6$23b2o21b2o$22bo3bo17bo3bo$19b2obo3b3o13b3o3bob2o$21bo7bo11bo7bo$19b
2o4b2o17b2o4b2o$18b2o4b4o2bo9bo2b4o4b2o$13b2o4bo3b3obo2bobo5bobo2bob3o
3bo4b2o$11b2o2b2o7bo2b3o3bo3bo3b3o2bo7b2o2b2o$9bo8b3o8bo3b2ob2o3bo8b3o
8bo$8b2ob6obob2o3bo3bo11bo3bo3b2obob6ob2o$8bo2bo2bobo3bo7bo2b4ob4o2bo
7bo3bobo2bo2bo$9b3o2bobob3o10b2o5b2o10b3obobo2b3o$6b2o11bobo6bobo9bobo
6bobo11b2o$4bo2bo8bo2bo7b3o11b3o7bo2bo8bo2bo$3b2obo4b4o4bobo3bobo15bob
o3bobo4b4o4bob2o$3b3o13bo4bo2bo15bo2bo4bo13b3o$bobo6bo4bo11bobo11bobo
11bo4bo6bobo$o8bo2b2o2bo7bob3obo9bob3obo7bo2b2o2bo8bo$10bob2obo11bo15b
o11bob2obo$27b2o13b2o$6o20bobobo9bobobo20b6o$4bo2bo20b3o9b3o20bo2bo$8b
o20bo11bo20bo$12bo13bo2bo11bo2bo13bo$7bobob3o11bo3bo11bo3bo11b3obobo$
13b2o16bo7bo16b2o$8bo2bo3b2o7b5o3bo5bo3b5o7b2o3bo2bo$5b3o9bo5b3ob2o4bo
3bo4b2ob3o5bo9b3o$5bobo2b2o12bo2bob3o2bobo2b3obo2bo12b2o2bobo$6b2o2b2o
6b2o10b2obo3bob2o10b2o6b2o2b2o$8bo16bo19bo16bo$16bo11bo13bo11bo$15b2ob
o8b2o13b2o8bob2o$15bo3bo5b3o15b3o5bo3bo$20bo3bo2bo15bo2bo3bo$14bo41bo$
13bo2b3obo3b5o13b5o3bob3o2bo$24b2ob3o11b3ob2o$13bobo7bobo2bo13bo2bobo
7bobo$22b2o23b2o$23b2o2bo15bo2b2o6$23b2o21b2o$22bo3bo17bo3bo$19b2obo3b
3o13b3o3bob2o$21bo7bo11bo7bo$19b2o4b2o17b2o4b2o$18b2o4b4o2bo9bo2b4o4b
2o$13b2o4bo3b3obo2bobo5bobo2bob3o3bo4b2o$11b2o2b2o7bo2b3o3bo3bo3b3o2bo
7b2o2b2o$9bo8b3o8bo3b2ob2o3bo8b3o8bo$8b2ob6obob2o3bo3bo11bo3bo3b2obob
6ob2o$8bo2bo2bobo3bo7bo2b4ob4o2bo7bo3bobo2bo2bo$9b3o2bobob3o10b2o5b2o
10b3obobo2b3o$6b2o11bobo6bobo9bobo6bobo11b2o$4bo2bo8bo2bo7b3o11b3o7bo
2bo8bo2bo$3b2obo4b4o4bobo3bobo15bobo3bobo4b4o4bob2o$3b3o13bo4bo2bo15bo
2bo4bo13b3o$bobo23bobo11bobo23bobo$o23bob3obo9bob3obo23bo$27bo15bo$27b
2o13b2o$6o20bobobo9bobobo20b6o$4bo2bo20b3o9b3o20bo2bo$8bo20bo11bo20bo$
12bo13bo2bo11bo2bo13bo$7bobob3o11bo3bo11bo3bo11b3obobo$13b2o16bo7bo16b
2o$8bo2bo3b2o7b5o3bo5bo3b5o7b2o3bo2bo$5b3o9bo5b3ob2o4bo3bo4b2ob3o5bo9b
3o$5bobo2b2o7bo4bo2bob3o2bobo2b3obo2bo4bo7b2o2bobo$6b2o2b2o5bo2bo9b2ob
o3bob2o9bo2bo5b2o2b2o$8bo16bo19bo16bo$22bo5bo13bo5bo$8bo12b2o4b2o13b2o
4b2o12bo$6b2o2b2o7b3o6b3o9b3o6b3o7b2o2b2o$5b3o2bo2bo4bo2bo6bo2bo7bo2bo
6bo2bo4bo2bo2b3o$4b3ob2o4bo41bo4b2ob3o$5bo12b5o4b5o7b5o4b5o12bo$10bobo
bo3b2ob3o2b3ob2o7b2ob3o2b3ob2o3bobobo$17bobo2bo4bo2bobo5bobo2bo4bo2bob
o$16b2o14b2o3b2o14b2o$17b2o2bo6bo2b2o5b2o2bo6bo2b2o6$23b2o21b2o$22bo3b
o17bo3bo$19b2obo3b3o13b3o3bob2o$21bo7bo11bo7bo$19b2o4b2o17b2o4b2o$18b
2o4b4o2bo9bo2b4o4b2o$13b2o4bo3b3obo2bobo5bobo2bob3o3bo4b2o$11b2o2b2o7b
o2b3o3bo3bo3b3o2bo7b2o2b2o$9bo8b3o8bo3b2ob2o3bo8b3o8bo$8b2ob6obob2o3bo
3bo11bo3bo3b2obob6ob2o$8bo2bo2bobo3bo7bo2b4ob4o2bo7bo3bobo2bo2bo$9b3o
2bobob3o10b2o5b2o10b3obobo2b3o$6b2o11bobo6bobo9bobo6bobo11b2o$4bo2bo8b
o2bo7b3o11b3o7bo2bo8bo2bo$3b2obo4b4o4bobo3bobo15bobo3bobo4b4o4bob2o$3b
3o13bo4bo2bo15bo2bo4bo13b3o$bobo6bo4bo11bobo11bobo11bo4bo6bobo$o8bo2b
2o2bo7bob3obo9bob3obo7bo2b2o2bo8bo$10bob2obo11bo15bo11bob2obo$27b2o13b
2o$6o20bobobo9bobobo20b6o$4bo2bo20b3o9b3o20bo2bo$8bo20bo11bo20bo$12bo
13bo2bo11bo2bo13bo$7bobob3o11bo3bo11bo3bo11b3obobo$13b2o16bo7bo16b2o$
8bo2bo3b2o7b5o3bo5bo3b5o7b2o3bo2bo$5b3o9bo5b3ob2o4bo3bo4b2ob3o5bo9b3o$
5bobo2b2o7bo4bo2bob3o2bobo2b3obo2bo4bo7b2o2bobo$6b2o2b2o5bo2bo9b2obo3b
ob2o9bo2bo5b2o2b2o$8bo16bo19bo16bo$22bo5bo13bo5bo$8bo12b2o4b2o13b2o4b
2o12bo$6b2o2b2o7b3o6b3o9b3o6b3o7b2o2b2o$5b3o2bo2bo4bo2bo6bo2bo7bo2bo6b
o2bo4bo2bo2b3o$4b3ob2o4bo41bo4b2ob3o$5bo12b5o4b5o7b5o4b5o12bo$10bobobo
3b2ob3o2b3ob2o7b2ob3o2b3ob2o3bobobo$17bobo2bo4bo2bobo5bobo2bo4bo2bobo$
16b2o14b2o3b2o14b2o$17b2o2bo6bo2b2o5b2o2bo6bo2b2o6$23b2o21b2o$22bo3bo
17bo3bo$19b2obo3b3o13b3o3bob2o$21bo7bo11bo7bo$19b2o4b2o17b2o4b2o$18b2o
4b4o2bo9bo2b4o4b2o$13b2o4bo3b3obo2bobo5bobo2bob3o3bo4b2o$11b2o2b2o7bo
2b3o3bo3bo3b3o2bo7b2o2b2o$9bo8b3o8bo3b2ob2o3bo8b3o8bo$8b2ob6obob2o3bo
3bo11bo3bo3b2obob6ob2o$8bo2bo2bobo3bo7bo2b4ob4o2bo7bo3bobo2bo2bo$9b3o
2bobob3o10b2o5b2o10b3obobo2b3o$6b2o11bobo6bobo9bobo6bobo11b2o$4bo2bo8b
o2bo7b3o11b3o7bo2bo8bo2bo$3b2obo4b4o4bobo3bobo15bobo3bobo4b4o4bob2o$3b
3o13bo4bo2bo15bo2bo4bo13b3o$bobo23bobo11bobo23bobo$o23bob3obo9bob3obo
23bo$27bo15bo$27b2o13b2o$6o20bobobo9bobobo20b6o$4bo2bo20b3o9b3o20bo2bo
$8bo20bo11bo20bo$26bo2bo11bo2bo$7bobo15bo3bo11bo3bo15bobo$11bo19bo7bo
19bo$7bo3b2o11b5o3bo5bo3b5o11b2o3bo$6bo4bo2bo8b3ob2o4bo3bo4b2ob3o8bo2b
o4bo$8bo5b2o8bo2bob3o2bobo2b3obo2bo8b2o5bo$4bo9bo15b2obo3bob2o15bo9bo$
3b2obo8b2o8bo19bo8b2o8bob2o$3bo3bo20bo13bo20bo3bo$8bo8b3o7b2o13b2o7b3o
8bo$2bo13b2o10b3o9b3o10b2o13bo$bo2b3obo6bo2b2o8bo2bo7bo2bo8b2o2bo6bob
3o2bo$14bo41bo$bobo11bobo2bo6b5o7b5o6bo2bobo11bobo$16b3o2bo4b3ob2o7b2o
b3o4bo2b3o$17b2obo6bo2bobo5bobo2bo6bob2o$32b2o3b2o$28bo2b2o5b2o2bo6$
23b2o21b2o$22bo3bo17bo3bo$19b2obo3b3o13b3o3bob2o$21bo7bo11bo7bo$19b2o
4b2o17b2o4b2o$18b2o4b4o2bo9bo2b4o4b2o$13b2o4bo3b3obo2bobo5bobo2bob3o3b
o4b2o$11b2o2b2o7bo2b3o3bo3bo3b3o2bo7b2o2b2o$9bo8b3o8bo3b2ob2o3bo8b3o8b
o$8b2ob6obob2o3bo3bo11bo3bo3b2obob6ob2o$8bo2bo2bobo3bo7bo2b4ob4o2bo7bo
3bobo2bo2bo$9b3o2bobob3o10b2o5b2o10b3obobo2b3o$6b2o11bobo6bobo9bobo6bo
bo11b2o$4bo2bo8bo2bo7b3o11b3o7bo2bo8bo2bo$3b2obo4b4o4bobo3bobo15bobo3b
obo4b4o4bob2o$3b3o13bo4bo2bo15bo2bo4bo13b3o$bobo23bobo11bobo23bobo$o
18bo4bob3obo9bob3obo4bo18bo$16b2o2b2o5bo15bo5b2o2b2o$14bo2bo2b3o4b2o
13b2o4b3o2bo2bo$6o7bo4b2ob3o2bobobo9bobobo2b3ob2o4bo7b6o$4bo2bo14bo5b
3o9b3o5bo14bo2bo$8bo4bobobo11bo11bo11bobobo4bo$26bo2bo11bo2bo$7bobo15b
o3bo11bo3bo15bobo$11bo19bo7bo19bo$7bo3b2o11b5o3bo5bo3b5o11b2o3bo$6bo4b
o2bo8b3ob2o4bo3bo4b2ob3o8bo2bo4bo$8bo5b2o8bo2bob3o2bobo2b3obo2bo8b2o5b
o$4bo9bo15b2obo3bob2o15bo9bo$3b2obo8b2o8bo19bo8b2o8bob2o$3bo3bo20bo13b
o20bo3bo$8bo8b3o7b2o13b2o7b3o8bo$2bo13b2o10b3o9b3o10b2o13bo$bo2b3obo6b
o2b2o8bo2bo7bo2bo8b2o2bo6bob3o2bo$14bo41bo$bobo11bobo2bo6b5o7b5o6bo2bo
bo11bobo$16b3o2bo4b3ob2o7b2ob3o4bo2b3o$17b2obo6bo2bobo5bobo2bo6bob2o$
32b2o3b2o$28bo2b2o5b2o2bo6$23b2o21b2o$22bo3bo17bo3bo$19b2obo3b3o13b3o
3bob2o$21bo7bo11bo7bo$19b2o4b2o17b2o4b2o$18b2o4b4o2bo9bo2b4o4b2o$13b2o
4bo3b3obo2bobo5bobo2bob3o3bo4b2o$11b2o2b2o7bo2b3o3bo3bo3b3o2bo7b2o2b2o
$9bo8b3o8bo3b2ob2o3bo8b3o8bo$8b2ob6obob2o3bo3bo11bo3bo3b2obob6ob2o$8bo
2bo2bobo3bo7bo2b4ob4o2bo7bo3bobo2bo2bo$9b3o2bobob3o10b2o5b2o10b3obobo
2b3o$6b2o11bobo6bobo9bobo6bobo11b2o$4bo2bo8bo2bo7b3o11b3o7bo2bo8bo2bo$
3b2obo4b4o4bobo3bobo15bobo3bobo4b4o4bob2o$3b3o13bo4bo2bo15bo2bo4bo13b
3o$bobo23bobo11bobo23bobo$o23bob3obo9bob3obo23bo$27bo15bo$27b2o13b2o$
6o20bobobo9bobobo20b6o$4bo2bo20b3o9b3o20bo2bo$8bo20bo11bo20bo$26bo2bo
11bo2bo$7bobo15bo3bo11bo3bo15bobo$11bo19bo7bo19bo$7bo3b2o11b5o3bo5bo3b
5o11b2o3bo$6bo4bo2bo8b3ob2o4bo3bo4b2ob3o8bo2bo4bo$8bo5b2o8bo2bob3o2bob
o2b3obo2bo8b2o5bo$4bo9bo15b2obo3bob2o15bo9bo$3b2obo8b2o8bo19bo8b2o8bob
2o$3bo3bo20bo13bo20bo3bo$8bo3b3o12b2o13b2o12b3o3bo$2bo11b2o12b3o9b3o
12b2o11bo$bo2b3obo3b2o2bo11bo2bo7bo2bo11bo2b2o3bob3o2bo$17bo35bo$bobo
7bo2bobo10b5o7b5o10bobo2bo7bobo$10bo2b3o10b3ob2o7b2ob3o10b3o2bo$11bob
2o12bo2bobo5bobo2bo12b2obo$32b2o3b2o$28bo2b2o5b2o2bo6$23b2o21b2o$22bo
3bo17bo3bo$19b2obo3b3o13b3o3bob2o$21bo7bo11bo7bo$19b2o4b2o17b2o4b2o$
18b2o4b4o2bo9bo2b4o4b2o$13b2o4bo3b3obo2bobo5bobo2bob3o3bo4b2o$11b2o2b
2o7bo2b3o3bo3bo3b3o2bo7b2o2b2o$9bo8b3o8bo3b2ob2o3bo8b3o8bo$8b2ob6obob
2o3bo3bo11bo3bo3b2obob6ob2o$8bo2bo2bobo3bo7bo2b4ob4o2bo7bo3bobo2bo2bo$
9b3o2bobob3o10b2o5b2o10b3obobo2b3o$6b2o11bobo6bobo9bobo6bobo11b2o$4bo
2bo8bo2bo7b3o11b3o7bo2bo8bo2bo$3b2obo4b4o4bobo3bobo15bobo3bobo4b4o4bob
2o$3b3o13bo4bo2bo15bo2bo4bo13b3o$bobo23bobo11bobo23bobo$o23bob3obo9bob
3obo23bo$27bo15bo$27b2o13b2o$6o20bobobo9bobobo20b6o$4bo2bo20b3o9b3o20b
o2bo$8bo20bo11bo20bo$26bo2bo11bo2bo$7bobo15bo3bo11bo3bo15bobo$11bo19bo
7bo19bo$7bo3b2o11b5o3bo5bo3b5o11b2o3bo$6bo4bo2bo8b3ob2o4bo3bo4b2ob3o8b
o2bo4bo$8bo5b2o8bo2bob3o2bobo2b3obo2bo8b2o5bo$4bo9bo15b2obo3bob2o15bo
9bo$3b2obo8b2o8bo19bo8b2o8bob2o$3bo3bo20bo13bo20bo3bo$8bo3b3o12b2o13b
2o12b3o3bo$2bo11b2o9b3o15b3o9b2o11bo$bo2b3obo3b2o2bo7bo2bo15bo2bo7bo2b
2o3bob3o2bo$17bo35bo$bobo7bo2bobo7b5o13b5o7bobo2bo7bobo$10bo2b3o8b2ob
3o11b3ob2o8b3o2bo$11bob2o8bobo2bo13bo2bobo8b2obo$22b2o23b2o$23b2o2bo
15bo2b2o6$23b2o21b2o$22bo3bo17bo3bo$19b2obo3b3o13b3o3bob2o$21bo7bo11bo
7bo$19b2o4b2o17b2o4b2o$18b2o4b4o2bo9bo2b4o4b2o$13b2o4bo3b3obo2bobo5bob
o2bob3o3bo4b2o$11b2o2b2o7bo2b3o3bo3bo3b3o2bo7b2o2b2o$9bo8b3o8bo3b2ob2o
3bo8b3o8bo$8b2ob6obob2o3bo3bo11bo3bo3b2obob6ob2o$8bo2bo2bobo3bo7bo2b4o
b4o2bo7bo3bobo2bo2bo$9b3o2bobob3o10b2o5b2o10b3obobo2b3o$6b2o11bobo6bob
o9bobo6bobo11b2o$4bo2bo8bo2bo7b3o11b3o7bo2bo8bo2bo$3b2obo4b4o4bobo3bob
o15bobo3bobo4b4o4bob2o$3b3o13bo4bo2bo15bo2bo4bo13b3o$bobo23bobo11bobo
23bobo$o18bo4bob3obo9bob3obo4bo18bo$16b2o2b2o5bo15bo5b2o2b2o$14bo2bo2b
3o4b2o13b2o4b3o2bo2bo$6o7bo4b2ob3o2bobobo9bobobo2b3ob2o4bo7b6o$4bo2bo
14bo5b3o9b3o5bo14bo2bo$8bo4bobobo11bo11bo11bobobo4bo$26bo2bo11bo2bo$7b
obo15bo3bo11bo3bo15bobo$11bo19bo7bo19bo$7bo3b2o11b5o3bo5bo3b5o11b2o3bo
$6bo4bo2bo8b3ob2o4bo3bo4b2ob3o8bo2bo4bo$8bo5b2o8bo2bob3o2bobo2b3obo2bo
8b2o5bo$4bo9bo15b2obo3bob2o15bo9bo$3b2obo8b2o8bo19bo8b2o8bob2o$3bo3bo
20bo13bo20bo3bo$8bo3b3o12b2o13b2o12b3o3bo$2bo11b2o12b3o9b3o12b2o11bo$b
o2b3obo3b2o2bo11bo2bo7bo2bo11bo2b2o3bob3o2bo$17bo35bo$bobo7bo2bobo10b
5o7b5o10bobo2bo7bobo$10bo2b3o10b3ob2o7b2ob3o10b3o2bo$11bob2o12bo2bobo
5bobo2bo12b2obo$32b2o3b2o$28bo2b2o5b2o2bo6$23b2o21b2o$22bo3bo17bo3bo$
19b2obo3b3o13b3o3bob2o$21bo7bo11bo7bo$19b2o4b2o17b2o4b2o$18b2o4b4o2bo
9bo2b4o4b2o$13b2o4bo3b3obo2bobo5bobo2bob3o3bo4b2o$11b2o2b2o7bo2b3o3bo
3bo3b3o2bo7b2o2b2o$9bo8b3o8bo3b2ob2o3bo8b3o8bo$8b2ob6obob2o3bo3bo11bo
3bo3b2obob6ob2o$8bo2bo2bobo3bo7bo2b4ob4o2bo7bo3bobo2bo2bo$9b3o2bobob3o
10b2o5b2o10b3obobo2b3o$6b2o11bobo6bobo9bobo6bobo11b2o$4bo2bo8bo2bo7b3o
11b3o7bo2bo8bo2bo$3b2obo4b4o4bobo3bobo15bobo3bobo4b4o4bob2o$3b3o13bo4b
o2bo15bo2bo4bo13b3o$bobo23bobo11bobo23bobo$o18bo4bob3obo9bob3obo4bo18b
o$16b2o2b2o5bo15bo5b2o2b2o$14bo2bo2b3o4b2o13b2o4b3o2bo2bo$6o7bo4b2ob3o
2bobobo9bobobo2b3ob2o4bo7b6o$4bo2bo14bo5b3o9b3o5bo14bo2bo$8bo4bobobo
11bo11bo11bobobo4bo$26bo2bo11bo2bo$7bobo15bo3bo11bo3bo15bobo$11bo19bo
7bo19bo$7bo3b2o11b5o3bo5bo3b5o11b2o3bo$6bo4bo2bo8b3ob2o4bo3bo4b2ob3o8b
o2bo4bo$8bo5b2o8bo2bob3o2bobo2b3obo2bo8b2o5bo$4bo9bo15b2obo3bob2o15bo
9bo$3b2obo8b2o8bo19bo8b2o8bob2o$3bo3bo20bo13bo20bo3bo$8bo3b3o12b2o13b
2o12b3o3bo$2bo11b2o9b3o15b3o9b2o11bo$bo2b3obo3b2o2bo7bo2bo15bo2bo7bo2b
2o3bob3o2bo$17bo35bo$bobo7bo2bobo7b5o13b5o7bobo2bo7bobo$10bo2b3o8b2ob
3o11b3ob2o8b3o2bo$11bob2o8bobo2bo13bo2bobo8b2obo$22b2o23b2o$23b2o2bo
15bo2b2o6$23b2o21b2o$22bo3bo17bo3bo$19b2obo3b3o13b3o3bob2o$21bo7bo11bo
7bo$19b2o4b2o17b2o4b2o$18b2o4b4o2bo9bo2b4o4b2o$13b2o4bo3b3obo2bobo5bob
o2bob3o3bo4b2o$11b2o2b2o7bo2b3o3bo3bo3b3o2bo7b2o2b2o$9bo8b3o8bo3b2ob2o
3bo8b3o8bo$8b2ob6obob2o3bo3bo11bo3bo3b2obob6ob2o$8bo2bo2bobo3bo7bo2b4o
b4o2bo7bo3bobo2bo2bo$9b3o2bobob3o10b2o5b2o10b3obobo2b3o$6b2o11bobo6bob
o9bobo6bobo11b2o$4bo2bo8bo2bo7b3o11b3o7bo2bo8bo2bo$3b2obo4b4o4bobo3bob
o15bobo3bobo4b4o4bob2o$3b3o13bo4bo2bo15bo2bo4bo13b3o$bobo6bo4bo11bobo
11bobo11bo4bo6bobo$o8bo2b2o2bo7bob3obo9bob3obo7bo2b2o2bo8bo$10bob2obo
11bo15bo11bob2obo$27b2o13b2o$6o20bobobo9bobobo20b6o$4bo2bo20b3o9b3o20b
o2bo$8bo20bo11bo20bo$26bo2bo11bo2bo$7bobo15bo3bo11bo3bo15bobo$11bo19bo
7bo19bo$7bo3b2o11b5o3bo5bo3b5o11b2o3bo$6bo4bo2bo8b3ob2o4bo3bo4b2ob3o8b
o2bo4bo$8bo5b2o8bo2bob3o2bobo2b3obo2bo8b2o5bo$4bo9bo15b2obo3bob2o15bo
9bo$3b2obo8b2o8bo19bo8b2o8bob2o$3bo3bo20bo13bo20bo3bo$8bo8b3o7b2o13b2o
7b3o8bo$2bo13b2o10b3o9b3o10b2o13bo$bo2b3obo6bo2b2o8bo2bo7bo2bo8b2o2bo
6bob3o2bo$14bo41bo$bobo11bobo2bo6b5o7b5o6bo2bobo11bobo$16b3o2bo4b3ob2o
7b2ob3o4bo2b3o$17b2obo6bo2bobo5bobo2bo6bob2o$32b2o3b2o$28bo2b2o5b2o2bo
6$23b2o21b2o$22bo3bo17bo3bo$19b2obo3b3o13b3o3bob2o$21bo7bo11bo7bo$19b
2o4b2o17b2o4b2o$18b2o4b4o2bo9bo2b4o4b2o$13b2o4bo3b3obo2bobo5bobo2bob3o
3bo4b2o$11b2o2b2o7bo2b3o3bo3bo3b3o2bo7b2o2b2o$9bo8b3o8bo3b2ob2o3bo8b3o
8bo$8b2ob6obob2o3bo3bo11bo3bo3b2obob6ob2o$8bo2bo2bobo3bo7bo2b4ob4o2bo
7bo3bobo2bo2bo$9b3o2bobob3o10b2o5b2o10b3obobo2b3o$6b2o11bobo6bobo9bobo
6bobo11b2o$4bo2bo8bo2bo7b3o11b3o7bo2bo8bo2bo$3b2obo4b4o4bobo3bobo15bob
o3bobo4b4o4bob2o$3b3o13bo4bo2bo15bo2bo4bo13b3o$bobo6bo4bo11bobo11bobo
11bo4bo6bobo$o8bo2b2o2bo7bob3obo9bob3obo7bo2b2o2bo8bo$10bob2obo11bo15b
o11bob2obo$27b2o13b2o$6o20bobobo9bobobo20b6o$4bo2bo20b3o9b3o20bo2bo$8b
o20bo11bo20bo$26bo2bo11bo2bo$7bobo15bo3bo11bo3bo15bobo$11bo19bo7bo19bo
$7bo3b2o11b5o3bo5bo3b5o11b2o3bo$6bo4bo2bo8b3ob2o4bo3bo4b2ob3o8bo2bo4bo
$8bo5b2o8bo2bob3o2bobo2b3obo2bo8b2o5bo$4bo9bo15b2obo3bob2o15bo9bo$3b2o
bo8b2o8bo19bo8b2o8bob2o$3bo3bo20bo13bo20bo3bo$8bo3b3o12b2o13b2o12b3o3b
o$2bo11b2o12b3o9b3o12b2o11bo$bo2b3obo3b2o2bo11bo2bo7bo2bo11bo2b2o3bob
3o2bo$17bo35bo$bobo7bo2bobo10b5o7b5o10bobo2bo7bobo$10bo2b3o10b3ob2o7b
2ob3o10b3o2bo$11bob2o12bo2bobo5bobo2bo12b2obo$32b2o3b2o$28bo2b2o5b2o2b
o6$23b2o21b2o$22bo3bo17bo3bo$19b2obo3b3o13b3o3bob2o$21bo7bo11bo7bo$19b
2o4b2o17b2o4b2o$18b2o4b4o2bo9bo2b4o4b2o$13b2o4bo3b3obo2bobo5bobo2bob3o
3bo4b2o$11b2o2b2o7bo2b3o3bo3bo3b3o2bo7b2o2b2o$9bo8b3o8bo3b2ob2o3bo8b3o
8bo$8b2ob6obob2o3bo3bo11bo3bo3b2obob6ob2o$8bo2bo2bobo3bo7bo2b4ob4o2bo
7bo3bobo2bo2bo$9b3o2bobob3o10b2o5b2o10b3obobo2b3o$6b2o11bobo6bobo9bobo
6bobo11b2o$4bo2bo8bo2bo7b3o11b3o7bo2bo8bo2bo$3b2obo4b4o4bobo3bobo15bob
o3bobo4b4o4bob2o$3b3o13bo4bo2bo15bo2bo4bo13b3o$bobo6bo4bo11bobo11bobo
11bo4bo6bobo$o8bo2b2o2bo7bob3obo9bob3obo7bo2b2o2bo8bo$10bob2obo11bo15b
o11bob2obo$27b2o13b2o$6o20bobobo9bobobo20b6o$4bo2bo20b3o9b3o20bo2bo$8b
o20bo11bo20bo$26bo2bo11bo2bo$7bobo15bo3bo11bo3bo15bobo$11bo19bo7bo19bo
$7bo3b2o11b5o3bo5bo3b5o11b2o3bo$6bo4bo2bo8b3ob2o4bo3bo4b2ob3o8bo2bo4bo
$8bo5b2o8bo2bob3o2bobo2b3obo2bo8b2o5bo$4bo9bo15b2obo3bob2o15bo9bo$3b2o
bo8b2o8bo19bo8b2o8bob2o$3bo3bo20bo13bo20bo3bo$8bo3b3o12b2o13b2o12b3o3b
o$2bo11b2o9b3o15b3o9b2o11bo$bo2b3obo3b2o2bo7bo2bo15bo2bo7bo2b2o3bob3o
2bo$17bo35bo$bobo7bo2bobo7b5o13b5o7bobo2bo7bobo$10bo2b3o8b2ob3o11b3ob
2o8b3o2bo$11bob2o8bobo2bo13bo2bobo8b2obo$22b2o23b2o$23b2o2bo15bo2b2o!

This took just under 2 hours and a max memory of 27.4 GB (I had been watching and it looked like it was close but would make it with a little more memory so I bumped it past the 16 GB I had originally set). I've killed it (I have no way to prevent it from finding boring combinations of ships forever although presumably it would exhaust even higher memory limits soon enough) and will continue on to odd, even, and asymmetric.

[Sokwe]

1 TB of RAM and 8 TB of SSDs for swap.

Holy crap! If you're taking requests, here are some things I would be interested in (in no particular order):

• Expand on the level wave speed limit searches (although it seems you may have abandoned this due to the speed of the search rather than the memory limit)
• Find the minimum population for a statorless p3 (should be 140 or less)
• Find the minimum population for a strict even-symmetric (2,0)c/5 ship (should be 70 or less)
• Confirm that there are no unstaggered height-10 (2,0)c/5 ships
• Find the minimum staggered height for a (2,0)c/5 ship
• Find the minimum unstaggered height for an even-symmetric (2,0)c/5 ship (might need code changes to force strict even symmetry)
• Confirm that there are no unstaggered height-9 (1,0)c/6 ships
• Confirm that there are no unstaggered height-8 (1,0)c/7 ships
• Expand minimum height searches for speeds 2c/7 and 3c/7 (largest eliminated unstaggered heights are 8 and 7 respectively)
• Find c/6 or 2c/7 ant stretchers and eaters
• Expanding on the low heat searches (low priority; see here for lowest known heat at each period up to 25)

Some of these might still not be feasible. I'm just throwing ideas out there. I'm sure I'll have more ideas later. You don't have to respond to any of these. Let me know if my suggestions get annoying.

Uh, although rule is wrong. This sort of highlights a problem with using life history as an interchange format.

If you append "History" to the end of the rule, then LifeViewer and Golly can run it as desired:

Code: Select all

x = 121, y = 38, rule = B3/S12History
F.37B.F.37B.F.37B.F$F.37B.F.37B.F.37B.F$F.17B2A18B.F.17B2A18B.F.16B4A
17B.F$F.16BA3BA16B.F.15B2A2B2A16B.F.14BA3BAB2A15B.F$F.13B2ABA3B3A14B.
F.13B2ABA3BABA14B.F.13B2ABA5B2A13B.F$F.15BA7BA13B.F.19BA2B2A13B.F.13B
A5B2A2BA13B.F$F.13B2A4B2A16B.F.12BA5BA2BA15B.F.18BA2B4A12B.F$F.12B2A
4B4A2BA12B.F.14BA2BA6B2A11B.F.12B2A3BA8BA10B.F$F.11BA5B3ABA2BABA10B.F
.10B3A11B3A10B.F.10BAB2A4BABA2BA3BA9B.F$F.9B2A7BA2B3A3BA9B.F.8BA3BA4B
AB3A2BABABA8B.F.8BABA8B3ABA4BA8B.F$F.8B4ABA9BA3B2A8B.F.7BA3B4A8BA2BAB
A8B.F.7BA6BA5BABA3BA3BA6B.F$F.7B3A3B2A4BA6BA3B2A5B.F.11BA11B2ABAB4A5B
.F.8BA4B2A7B2A2BABAB2A5B.F$F.8BA3BA2BA5B3ABA2BA8B.F.7BABABA3BA5BA3BA
11B.F.11B2A2BA10B3A2BA5B.F$F.11B3A3BA5B2A12B.F.11BA2BA2BA7BA2BABA6B.F
.7BA7B4A5B3ABABA6B.F$F.7BA6BA3BA5BA3B4A5B.F.7B8A2BABA5BA2B2ABA5B.F.6B
A2BA4BABA2BA5B2A4BA5B.F$F.6BAB3A7B2A4BA2BA3BA5B.F.6B2A9B3A3B2A2B3A7B.
F.5BA3B2A3B2A6BA9BA4B.F$F.5BA3B2A2BA2BA4B2A8BABA3B.F.5B2A5BA2B2ABA3B
2AB2A4BABA3B.F.12BA2BA4BABA9B2A3B.F$F.4BA2B4AB4A3B2ABA2B2A5B2A3B.F.4B
A2BA3BA4B2AB2A3BA2BA5BA3B.F.4B5A2B2A5BABABAB4A9B.F$F.3BA9BA2BABA3BAB
4A9B.F.3BA4B2A2BA2B2A3BABA10B2A2B.F.3B3AB6A2BABAB2ABA12BAB.F$F.17B2AB
ABABABA7B2AB.F.4BABA3BA11BABA2BA6B2AB.F.4BA17BABA8BABAB.F$F.3BAB3AB3A
3BAB2A3BA12BAB.F.5B3AB3A3B2A5BA2BA11B.F.7BA7B3A4BA12BAB.F$F.14BA3BA3B
A2BA7BABAB.F.10BA3BA2B2A5B3A6BABAB.F.4BA4BABA2B5A5BABA6B2A2B.F$F.4B2A
7BA7B3AB2A6B2A2B.F.4B2A7BA19BA3B.F.4B2A7B3ABA3B2A3BA10B.F$F.20BA3BABA
10B.F.14BABA3B5ABA5B2A3B.F.5BA8BA2BA2B5A6BA5B.F$F.13BAB3A13B2A4B.F.6B
A8B3A13B2A4B.F.5BABA13B2AB2A5BABA3B.F$F.5B3A12BA16B.F.5B3A8B2A6BA12B.
F.8BA6BA2BA6BA3B3A5B.F$F.8BA9BA4B3A3BA7B.F.5B4A10B2AB4A2B3A6B.F.9BA8B
5A5BA2BA5B.F$F.4BA4BA6BA3B3A5B2ABA5B.F.3BABA2B2A6B2A2BA3BA5B2A5B.F.3B
3A10B2A7BA11B.F$F.3B3A2BA7BA5BA5BA3BA4B.F.2BA4BA2BA4BA4BA7B2A2BA4B.F.
2BA4B2A2BA5BA2BA2BA4B5A4B.F$F.2B3A2B2AB2A4B2A2BAB3A8BA3B.F.10B2A3B2A
4B2ABA8BA3B.F.10B2A2BA5B3ABA2BABA2B2A3B.F$F.3B5ABA4BA3BA5BA2BA9B.F.
14BABA2BA5BAB2A3BA4B.F.3B4A3B2ABA3BAB3ABA3BA3BABA3B.F$F.2BA6BA3BA3BAB
A4BA2BABABABA3B.F.2B6A2BA2B2ABA3BA3B2ABABAB2A4B.F.2B7A2B2A3BA7BA4B2A
6B.F$F.8BABA2BA2B4AB2ABA3B2ABA5B.F.8B4AB3A3B4A3BA4BA5B.F.3B2A7BA3BA2B
A2BABA2BA2BA6B.F$F.11B2A2B3A5B2AB2ABA2BA4B.F.6B2A2BA4BA5BA3B2A5BA4B.F
.3BA2BA9BA8B2A4B3A3B.F$F.2BA2B3A3BA5BAB2A2BA3B3A3BA3B.F.2B3A3BABA4BA
3B2ABA7BA2B2A2B.F.2BABA2B2AB2A3B2A2B2A2BABABAB3A3BAB.F$F.2BAB2AB2A2BA
2BA3BA4BA3BABA4B2AB.F.2BA7BA2B2A2BA4B2A2B2AB2A3B2AB.F.4BA4B2A2B2AB2AB
2A2BABA5BA3BAB.F$F.4BA3BA2B3A4BA4BABA5BA5B.F.3BA13B2A2BA3B2AB2A2BA4B.
F.3BA9BAB2A4B2A2BA8B2AB.F$F.5BABA4BA5BAB3AB2A3B4A4B.F.14B2A2BA10BA5BA
B.F.3B2AB4ABA2BA2BA10B3AB3A2B.F!

[amling]

(about c/3 searches in B3/S12)

Gutter width 71 hit the first cluster of ships...

...will continue on to odd, even, and asymmetric.

Odd width 69 completed with no results in ~32 minutes and maximum of 3.7 GB of memory. Odd width 71 did not make it. Gutter width 71 had hit those first ships at depth 133 and odd width 71 made it to depth 121 before hitting the 16 GB limit and dying. I will probably not bother to rerun with more memory just to find out if the known gutter ships are shortest even among odd ships.

So far even has completed width 76 with no results (~1h, 7.8 GB).

EDIT: Even width 78 found these 8 "even ships" which are all just two asymmetric ships places next to mirrored copies of themselves:

Code: Select all

x = 78, y = 475, rule = B3/S12
22b2o30b2o$20bo3bo28bo3bo$18b3o3bob2o22b2obo3b3o$17bo7bo26bo7bo$20b2o
4b2o22b2o4b2o$16bo2b4o4b2o20b2o4b4o2bo$14bobo2bob3o5bo18bo5b3obo2bobo$
13bo3b3o2bo7b2o14b2o7bo2b3o3bo$12b2o3bo9bob4o12b4obo9bo3b2o$9b2o3bo6bo
4b2o3b3o10b3o3b2o4bo6bo3b2o$12bo2bob3o5bo2bo3bo12bo3bo2bo5b3obo2bo$16b
2o5bo3b3o18b3o3bo5b2o$9b4o3bo5bo3bo6bo10bo6bo3bo5bo3b4o$9bo3bo2bo4b2o
7b3obo8bob3o7b2o4bo2bo3bo$7bobo8b2o4bo2bo2b2o3bo6bo3b2o2bo2bo4b2o8bobo
$7b2o5b2o2bob2o3b4ob4o2bo4bo2b4ob4o3b2obo2b2o5b2o$13b4obo3bobo2bo9bo2b
o9bo2bobo3bob4o$5b2o7bobobobob2o30b2obobobobo7b2o$18bo3b2obo3b3ob3obo
2bob3ob3o3bob2o3bo$3bo11bo2bo3bo3bo24bo3bo3bo2bo11bo$2b2obo8b2ob3o7bo
7b2o4b2o7bo7b3ob2o8bob2o$2bo3bo7bobo3bo36bo3bobo7bo3bo$7bo5bo9b3obo5bo
10bo5bob3o9bo5bo$bo11b2o5bo11b2obo6bob2o11bo5b2o11bo$o2b3obo4bo9bo9bo
3bo4bo3bo9bo9bo4bob3o2bo$14bob2o3b2o14bo2bo14b2o3b2obo$obo8bo6b2o11bo
14bo11b2o6bo8bobo$11bobo3b2ob2o8bo2b3obo2bob3o2bo8b2ob2o3bobo2$9bobo5b
2ob2o8bobo12bobo8b2ob2o5bobo$9b3o6bob3o2b3o22b3o2b3obo6b3o$10bo10bo2b
2o26b2o2bo10bo$24b2o2bo20bo2b2o$26b3obo16bob3o$22bobobo3b2o14b2o3bobob
o$22b4o3bo18bo3b4o$25bo3bo18bo3bo$20b2o5b2ob4o10b4ob2o5b2o$19b6o28b6o$
16b2o6b2o4bo16bo4b2o6b2o$19bo4bo4b4o12b4o4bo4bo$22b2o6bo2bo10bo2bo6b2o
$16b5obob3o4bo2bo8bo2bo4b3obob5o$14bo2bo2bobo4bo22bo4bobo2bo2bo$13b2o
4b3o2bo7bobo8bobo7bo2b3o4b2o$14bo13b2o18b2o13bo$12b2o4bo2bo34bo2bo4b2o
$31bo14bo$9b3o5b3o9bob2o12b2obo9b3o5b3o$11b2o15bo3bo12bo3bo15b2o$9b2o
2bo13bo22bo13bo2b2o$14bo18bo10bo18bo$8bo2bobo13bob3o2bo8bo2b3obo13bobo
2bo$7bo2b3o52b3o2bo$8bob2o20bobo8bobo20b2obo6$22b2o30b2o$20bo3bo28bo3b
o$18b3o3bob2o22b2obo3b3o$17bo7bo26bo7bo$20b2o4b2o22b2o4b2o$16bo2b4o4b
2o20b2o4b4o2bo$14bobo2bob3o5bo18bo5b3obo2bobo$13bo3b3o2bo7b2o14b2o7bo
2b3o3bo$12b2o3bo9bob4o12b4obo9bo3b2o$9b2o3bo6bo4b2o3b3o10b3o3b2o4bo6bo
3b2o$12bo2bob3o5bo2bo3bo12bo3bo2bo5b3obo2bo$16b2o5bo3b3o18b3o3bo5b2o$
9b4o3bo5bo3bo6bo10bo6bo3bo5bo3b4o$9bo3bo2bo4b2o7b3obo8bob3o7b2o4bo2bo
3bo$7bobo8b2o4bo2bo2b2o3bo6bo3b2o2bo2bo4b2o8bobo$7b2o5b2o2bob2o3b4ob4o
2bo4bo2b4ob4o3b2obo2b2o5b2o$13b4obo3bobo2bo9bo2bo9bo2bobo3bob4o$5b2o7b
obobobob2o30b2obobobobo7b2o$18bo3b2obo3b3ob3obo2bob3ob3o3bob2o3bo$3bo
11bo2bo3bo3bo24bo3bo3bo2bo11bo$2b2obo8b2ob3o7bo7b2o4b2o7bo7b3ob2o8bob
2o$2bo3bo7bobo3bo36bo3bobo7bo3bo$7bo5bo9b3obo5bo10bo5bob3o9bo5bo$bo11b
2o5bo11b2obo6bob2o11bo5b2o11bo$o2b3obo4bo9bo9bo3bo4bo3bo9bo9bo4bob3o2b
o$14bob2o3b2o14bo2bo14b2o3b2obo$obo8bo6b2o11bo14bo11b2o6bo8bobo$11bobo
3b2ob2o8bo2b3obo2bob3o2bo8b2ob2o3bobo2$9bobo5b2ob2o8bobo12bobo8b2ob2o
5bobo$9b3o6bob3o2b3o22b3o2b3obo6b3o$10bo10bo2b2o26b2o2bo10bo$24b2o2bo
20bo2b2o$26b3obo16bob3o$22bobobo3b2o14b2o3bobobo$22b4o3bo18bo3b4o$25bo
3bo18bo3bo$20b2o5b2ob4o10b4ob2o5b2o$19b6o28b6o$16b2o6b2o4bo16bo4b2o6b
2o$19bo4bo4b4o12b4o4bo4bo$22b2o6bo2bo10bo2bo6b2o$16b5obob3o4bo2bo8bo2b
o4b3obob5o$14bo2bo2bobo4bo22bo4bobo2bo2bo$13b2o4b3o2bo7bobo8bobo7bo2b
3o4b2o$14bo13b2o18b2o13bo$12b2o4bo2bo34bo2bo4b2o$26bo24bo$9b3o5b3o5b2o
bo20bob2o5b3o5b3o$11b2o12bo3bo18bo3bo12b2o$9b2o2bo16bo16bo16bo2b2o$14b
o9bo28bo9bo$8bo2bobo9bo2b3obo16bob3o2bo9bobo2bo$7bo2b3o52b3o2bo$8bob2o
11bobo26bobo11b2obo6$22b2o30b2o$20bo3bo28bo3bo$18b3o3bob2o22b2obo3b3o$
17bo7bo26bo7bo$20b2o4b2o22b2o4b2o$16bo2b4o4b2o20b2o4b4o2bo$14bobo2bob
3o5bo18bo5b3obo2bobo$13bo3b3o2bo7b2o14b2o7bo2b3o3bo$12b2o3bo9bob4o12b
4obo9bo3b2o$9b2o3bo6bo4b2o3b3o10b3o3b2o4bo6bo3b2o$12bo2bob3o5bo2bo3bo
12bo3bo2bo5b3obo2bo$16b2o5bo3b3o18b3o3bo5b2o$9b4o3bo5bo3bo6bo10bo6bo3b
o5bo3b4o$9bo3bo2bo4b2o7b3obo8bob3o7b2o4bo2bo3bo$7bobo8b2o4bo2bo2b2o3bo
6bo3b2o2bo2bo4b2o8bobo$7b2o5b2o2bob2o3b4ob4o2bo4bo2b4ob4o3b2obo2b2o5b
2o$13b4obo3bobo2bo9bo2bo9bo2bobo3bob4o$5b2o7bobobobob2o30b2obobobobo7b
2o$18bo3b2obo3b3ob3obo2bob3ob3o3bob2o3bo$3bo11bo2bo3bo3bo24bo3bo3bo2bo
11bo$2b2obo8b2ob3o7bo7b2o4b2o7bo7b3ob2o8bob2o$2bo3bo7bobo3bo36bo3bobo
7bo3bo$7bo5bo9b3obo5bo10bo5bob3o9bo5bo$bo11b2o5bo11b2obo6bob2o11bo5b2o
11bo$o2b3obo4bo9bo9bo3bo4bo3bo9bo9bo4bob3o2bo$14bob2o3b2o14bo2bo14b2o
3b2obo$obo8bo6b2o11bo14bo11b2o6bo8bobo$11bobo3b2ob2o8bo2b3obo2bob3o2bo
8b2ob2o3bobo2$9bobo5b2ob2o8bobo12bobo8b2ob2o5bobo$9b3o6bob3o2b3o22b3o
2b3obo6b3o$10bo10bo2b2o26b2o2bo10bo$24b2o2bo20bo2b2o$7b2o17b3obo16bob
3o17b2o$22bobobo3b2o14b2o3bobobo$5bo16b4o3bo18bo3b4o16bo$4b2obo17bo3bo
18bo3bo17bob2o$4bo3bo11b2o5b2ob4o10b4ob2o5b2o11bo3bo$9bo9b6o28b6o9bo$
3bo12b2o6b2o4bo16bo4b2o6b2o12bo$2bo2b3obo9bo4bo4b4o12b4o4bo4bo9bob3o2b
o$22b2o6bo2bo10bo2bo6b2o$2bobo11b5obob3o4bo2bo8bo2bo4b3obob5o11bobo$
14bo2bo2bobo4bo22bo4bobo2bo2bo$13b2o4b3o2bo7bobo8bobo7bo2b3o4b2o$14bo
13b2o18b2o13bo$12b2o4bo2bo34bo2bo4b2o$31bo14bo$9b3o5b3o9bob2o12b2obo9b
3o5b3o$11b2o15bo3bo12bo3bo15b2o$9b2o2bo13bo22bo13bo2b2o$14bo18bo10bo
18bo$8bo2bobo13bob3o2bo8bo2b3obo13bobo2bo$7bo2b3o52b3o2bo$8bob2o20bobo
8bobo20b2obo6$22b2o30b2o$20bo3bo28bo3bo$18b3o3bob2o22b2obo3b3o$17bo7bo
26bo7bo$20b2o4b2o22b2o4b2o$16bo2b4o4b2o20b2o4b4o2bo$14bobo2bob3o5bo18b
o5b3obo2bobo$13bo3b3o2bo7b2o14b2o7bo2b3o3bo$12b2o3bo9bob4o12b4obo9bo3b
2o$9b2o3bo6bo4b2o3b3o10b3o3b2o4bo6bo3b2o$12bo2bob3o5bo2bo3bo12bo3bo2bo
5b3obo2bo$16b2o5bo3b3o18b3o3bo5b2o$9b4o3bo5bo3bo6bo10bo6bo3bo5bo3b4o$
9bo3bo2bo4b2o7b3obo8bob3o7b2o4bo2bo3bo$7bobo8b2o4bo2bo2b2o3bo6bo3b2o2b
o2bo4b2o8bobo$7b2o5b2o2bob2o3b4ob4o2bo4bo2b4ob4o3b2obo2b2o5b2o$13b4obo
3bobo2bo9bo2bo9bo2bobo3bob4o$5b2o7bobobobob2o30b2obobobobo7b2o$18bo3b
2obo3b3ob3obo2bob3ob3o3bob2o3bo$3bo11bo2bo3bo3bo24bo3bo3bo2bo11bo$2b2o
bo8b2ob3o7bo7b2o4b2o7bo7b3ob2o8bob2o$2bo3bo7bobo3bo36bo3bobo7bo3bo$7bo
5bo9b3obo5bo10bo5bob3o9bo5bo$bo11b2o5bo11b2obo6bob2o11bo5b2o11bo$o2b3o
bo4bo9bo9bo3bo4bo3bo9bo9bo4bob3o2bo$14bob2o3b2o14bo2bo14b2o3b2obo$obo
8bo6b2o11bo14bo11b2o6bo8bobo$11bobo3b2ob2o8bo2b3obo2bob3o2bo8b2ob2o3bo
bo2$9bobo5b2ob2o8bobo12bobo8b2ob2o5bobo$9b3o6bob3o2b3o22b3o2b3obo6b3o$
10bo10bo2b2o26b2o2bo10bo$24b2o2bo20bo2b2o$7b2o17b3obo16bob3o17b2o$22bo
bobo3b2o14b2o3bobobo$5bo16b4o3bo18bo3b4o16bo$4b2obo17bo3bo18bo3bo17bob
2o$4bo3bo11b2o5b2ob4o10b4ob2o5b2o11bo3bo$9bo9b6o28b6o9bo$3bo12b2o6b2o
4bo16bo4b2o6b2o12bo$2bo2b3obo9bo4bo4b4o12b4o4bo4bo9bob3o2bo$22b2o6bo2b
o10bo2bo6b2o$2bobo11b5obob3o4bo2bo8bo2bo4b3obob5o11bobo$14bo2bo2bobo4b
o22bo4bobo2bo2bo$13b2o4b3o2bo7bobo8bobo7bo2b3o4b2o$14bo13b2o18b2o13bo$
12b2o4bo2bo34bo2bo4b2o$26bo24bo$9b3o5b3o5b2obo20bob2o5b3o5b3o$11b2o12b
o3bo18bo3bo12b2o$9b2o2bo16bo16bo16bo2b2o$14bo9bo28bo9bo$8bo2bobo9bo2b
3obo16bob3o2bo9bobo2bo$7bo2b3o52b3o2bo$8bob2o11bobo26bobo11b2obo6$14b
2o46b2o$13bo3bo42bo3bo$10b2obo3b3o38b3o3bob2o$12bo7bo36bo7bo$10b2o4b2o
42b2o4b2o$9b2o4b4o2bo34bo2b4o4b2o$8bo5b3obo2bobo30bobo2bob3o5bo$6b2o7b
o2b3o3bo28bo3b3o2bo7b2o$5b4obo9bo3b2o26b2o3bo9bob4o$4b3o3b2o4bo6bo3b2o
20b2o3bo6bo4b2o3b3o$5bo3bo2bo5b3obo2bo26bo2bob3o5bo2bo3bo$8b3o3bo5b2o
34b2o5bo3b3o$4bo6bo3bo5bo3b4o20b4o3bo5bo3bo6bo$3bob3o7b2o4bo2bo3bo20bo
3bo2bo4b2o7b3obo$2bo3b2o2bo2bo4b2o8bobo16bobo8b2o4bo2bo2b2o3bo$bo2b4ob
4o3b2obo2b2o5b2o16b2o5b2o2bob2o3b4ob4o2bo$o9bo2bobo3bob4o28b4obo3bobo
2bo9bo$14b2obobobobo7b2o12b2o7bobobobob2o$ob3ob3o3bob2o3bo38bo3b2obo3b
3ob3obo$11bo3bo3bo2bo11bo8bo11bo2bo3bo3bo$b2o7bo7b3ob2o8bob2o6b2obo8b
2ob3o7bo7b2o$17bo3bobo7bo3bo6bo3bo7bobo3bo$4bo5bob3o9bo5bo16bo5bo9b3ob
o5bo$2bob2o11bo5b2o11bo4bo11b2o5bo11b2obo$bo3bo9bo9bo4bob3o2bo2bo2b3ob
o4bo9bo9bo3bo$o14b2o3b2obo30bob2o3b2o14bo$6bo11b2o6bo8bobo2bobo8bo6b2o
11bo$ob3o2bo8b2ob2o3bobo24bobo3b2ob2o8bo2b3obo2$5bobo8b2ob2o5bobo20bob
o5b2ob2o8bobo$10b3o2b3obo6b3o20b3o6bob3o2b3o$12b2o2bo10bo22bo10bo2b2o$
9bo2b2o50b2o2bo$7bob3o54b3obo$6b2o3bobobo46bobobo3b2o$8bo3b4o46b4o3bo$
8bo3bo52bo3bo$4b4ob2o5b2o42b2o5b2ob4o$13b6o40b6o$7bo4b2o6b2o34b2o6b2o
4bo$5b4o4bo4bo40bo4bo4b4o$4bo2bo6b2o46b2o6bo2bo$3bo2bo4b3obob5o34b5obo
b3o4bo2bo$10bo4bobo2bo2bo30bo2bo2bobo4bo$3bobo7bo2b3o4b2o28b2o4b3o2bo
7bobo$8b2o13bo30bo13b2o$16bo2bo4b2o26b2o4bo2bo$11bo54bo$9bob2o5b3o5b3o
20b3o5b3o5b2obo$8bo3bo12b2o24b2o12bo3bo$7bo16bo2b2o20b2o2bo16bo$13bo9b
o30bo9bo$7bob3o2bo9bobo2bo18bo2bobo9bo2b3obo$25b3o2bo16bo2b3o$12bobo
11b2obo18bob2o11bobo6$14b2o46b2o$13bo3bo42bo3bo$10b2obo3b3o38b3o3bob2o
$12bo7bo36bo7bo$10b2o4b2o42b2o4b2o$9b2o4b4o2bo34bo2b4o4b2o$8bo5b3obo2b
obo30bobo2bob3o5bo$6b2o7bo2b3o3bo28bo3b3o2bo7b2o$5b4obo9bo3b2o26b2o3bo
9bob4o$4b3o3b2o4bo6bo3b2o20b2o3bo6bo4b2o3b3o$5bo3bo2bo5b3obo2bo26bo2bo
b3o5bo2bo3bo$8b3o3bo5b2o34b2o5bo3b3o$4bo6bo3bo5bo3b4o20b4o3bo5bo3bo6bo
$3bob3o7b2o4bo2bo3bo20bo3bo2bo4b2o7b3obo$2bo3b2o2bo2bo4b2o8bobo16bobo
8b2o4bo2bo2b2o3bo$bo2b4ob4o3b2obo2b2o5b2o16b2o5b2o2bob2o3b4ob4o2bo$o9b
o2bobo3bob4o28b4obo3bobo2bo9bo$14b2obobobobo7b2o12b2o7bobobobob2o$ob3o
b3o3bob2o3bo38bo3b2obo3b3ob3obo$11bo3bo3bo2bo11bo8bo11bo2bo3bo3bo$b2o
7bo7b3ob2o8bob2o6b2obo8b2ob3o7bo7b2o$17bo3bobo7bo3bo6bo3bo7bobo3bo$4bo
5bob3o9bo5bo16bo5bo9b3obo5bo$2bob2o11bo5b2o11bo4bo11b2o5bo11b2obo$bo3b
o9bo9bo4bob3o2bo2bo2b3obo4bo9bo9bo3bo$o14b2o3b2obo30bob2o3b2o14bo$6bo
11b2o6bo8bobo2bobo8bo6b2o11bo$ob3o2bo8b2ob2o3bobo24bobo3b2ob2o8bo2b3ob
o2$5bobo8b2ob2o5bobo20bobo5b2ob2o8bobo$10b3o2b3obo6b3o20b3o6bob3o2b3o$
12b2o2bo10bo22bo10bo2b2o$9bo2b2o50b2o2bo$7bob3o17b2o16b2o17b3obo$6b2o
3bobobo46bobobo3b2o$8bo3b4o16bo12bo16b4o3bo$8bo3bo17bob2o10b2obo17bo3b
o$4b4ob2o5b2o11bo3bo10bo3bo11b2o5b2ob4o$13b6o9bo20bo9b6o$7bo4b2o6b2o
12bo8bo12b2o6b2o4bo$5b4o4bo4bo9bob3o2bo6bo2b3obo9bo4bo4b4o$4bo2bo6b2o
46b2o6bo2bo$3bo2bo4b3obob5o11bobo6bobo11b5obob3o4bo2bo$10bo4bobo2bo2bo
30bo2bo2bobo4bo$3bobo7bo2b3o4b2o28b2o4b3o2bo7bobo$8b2o13bo30bo13b2o$
16bo2bo4b2o26b2o4bo2bo$11bo54bo$9bob2o5b3o5b3o20b3o5b3o5b2obo$8bo3bo
12b2o24b2o12bo3bo$7bo16bo2b2o20b2o2bo16bo$13bo9bo30bo9bo$7bob3o2bo9bob
o2bo18bo2bobo9bo2b3obo$25b3o2bo16bo2b3o$12bobo11b2obo18bob2o11bobo6$
14b2o46b2o$13bo3bo42bo3bo$10b2obo3b3o38b3o3bob2o$12bo7bo36bo7bo$10b2o
4b2o42b2o4b2o$9b2o4b4o2bo34bo2b4o4b2o$8bo5b3obo2bobo30bobo2bob3o5bo$6b
2o7bo2b3o3bo28bo3b3o2bo7b2o$5b4obo9bo3b2o26b2o3bo9bob4o$4b3o3b2o4bo6bo
3b2o20b2o3bo6bo4b2o3b3o$5bo3bo2bo5b3obo2bo26bo2bob3o5bo2bo3bo$8b3o3bo
5b2o34b2o5bo3b3o$4bo6bo3bo5bo3b4o20b4o3bo5bo3bo6bo$3bob3o7b2o4bo2bo3bo
20bo3bo2bo4b2o7b3obo$2bo3b2o2bo2bo4b2o8bobo16bobo8b2o4bo2bo2b2o3bo$bo
2b4ob4o3b2obo2b2o5b2o16b2o5b2o2bob2o3b4ob4o2bo$o9bo2bobo3bob4o28b4obo
3bobo2bo9bo$14b2obobobobo7b2o12b2o7bobobobob2o$ob3ob3o3bob2o3bo38bo3b
2obo3b3ob3obo$11bo3bo3bo2bo11bo8bo11bo2bo3bo3bo$b2o7bo7b3ob2o8bob2o6b
2obo8b2ob3o7bo7b2o$17bo3bobo7bo3bo6bo3bo7bobo3bo$4bo5bob3o9bo5bo16bo5b
o9b3obo5bo$2bob2o11bo5b2o11bo4bo11b2o5bo11b2obo$bo3bo9bo9bo4bob3o2bo2b
o2b3obo4bo9bo9bo3bo$o14b2o3b2obo30bob2o3b2o14bo$6bo11b2o6bo8bobo2bobo
8bo6b2o11bo$ob3o2bo8b2ob2o3bobo24bobo3b2ob2o8bo2b3obo2$5bobo8b2ob2o5bo
bo20bobo5b2ob2o8bobo$10b3o2b3obo6b3o20b3o6bob3o2b3o$12b2o2bo10bo22bo
10bo2b2o$9bo2b2o50b2o2bo$7bob3o54b3obo$6b2o3bobobo46bobobo3b2o$8bo3b4o
46b4o3bo$8bo3bo52bo3bo$4b4ob2o5b2o42b2o5b2ob4o$13b6o40b6o$7bo4b2o6b2o
34b2o6b2o4bo$5b4o4bo4bo40bo4bo4b4o$4bo2bo6b2o46b2o6bo2bo$3bo2bo4b3obob
5o34b5obob3o4bo2bo$10bo4bobo2bo2bo30bo2bo2bobo4bo$3bobo7bo2b3o4b2o28b
2o4b3o2bo7bobo$8b2o13bo30bo13b2o$16bo2bo4b2o26b2o4bo2bo$6bo64bo$5b2obo
9b3o5b3o20b3o5b3o9bob2o$5bo3bo15b2o24b2o15bo3bo$10bo13bo2b2o20b2o2bo
13bo$4bo18bo30bo18bo$3bo2b3obo13bobo2bo18bo2bobo13bob3o2bo$25b3o2bo16b
o2b3o$3bobo20b2obo18bob2o20bobo6$14b2o46b2o$13bo3bo42bo3bo$10b2obo3b3o
38b3o3bob2o$12bo7bo36bo7bo$10b2o4b2o42b2o4b2o$9b2o4b4o2bo34bo2b4o4b2o$
8bo5b3obo2bobo30bobo2bob3o5bo$6b2o7bo2b3o3bo28bo3b3o2bo7b2o$5b4obo9bo
3b2o26b2o3bo9bob4o$4b3o3b2o4bo6bo3b2o20b2o3bo6bo4b2o3b3o$5bo3bo2bo5b3o
bo2bo26bo2bob3o5bo2bo3bo$8b3o3bo5b2o34b2o5bo3b3o$4bo6bo3bo5bo3b4o20b4o
3bo5bo3bo6bo$3bob3o7b2o4bo2bo3bo20bo3bo2bo4b2o7b3obo$2bo3b2o2bo2bo4b2o
8bobo16bobo8b2o4bo2bo2b2o3bo$bo2b4ob4o3b2obo2b2o5b2o16b2o5b2o2bob2o3b
4ob4o2bo$o9bo2bobo3bob4o28b4obo3bobo2bo9bo$14b2obobobobo7b2o12b2o7bobo
bobob2o$ob3ob3o3bob2o3bo38bo3b2obo3b3ob3obo$11bo3bo3bo2bo11bo8bo11bo2b
o3bo3bo$b2o7bo7b3ob2o8bob2o6b2obo8b2ob3o7bo7b2o$17bo3bobo7bo3bo6bo3bo
7bobo3bo$4bo5bob3o9bo5bo16bo5bo9b3obo5bo$2bob2o11bo5b2o11bo4bo11b2o5bo
11b2obo$bo3bo9bo9bo4bob3o2bo2bo2b3obo4bo9bo9bo3bo$o14b2o3b2obo30bob2o
3b2o14bo$6bo11b2o6bo8bobo2bobo8bo6b2o11bo$ob3o2bo8b2ob2o3bobo24bobo3b
2ob2o8bo2b3obo2$5bobo8b2ob2o5bobo20bobo5b2ob2o8bobo$10b3o2b3obo6b3o20b
3o6bob3o2b3o$12b2o2bo10bo22bo10bo2b2o$9bo2b2o50b2o2bo$7bob3o17b2o16b2o
17b3obo$6b2o3bobobo46bobobo3b2o$8bo3b4o16bo12bo16b4o3bo$8bo3bo17bob2o
10b2obo17bo3bo$4b4ob2o5b2o11bo3bo10bo3bo11b2o5b2ob4o$13b6o9bo20bo9b6o$
7bo4b2o6b2o12bo8bo12b2o6b2o4bo$5b4o4bo4bo9bob3o2bo6bo2b3obo9bo4bo4b4o$
4bo2bo6b2o46b2o6bo2bo$3bo2bo4b3obob5o11bobo6bobo11b5obob3o4bo2bo$10bo
4bobo2bo2bo30bo2bo2bobo4bo$3bobo7bo2b3o4b2o28b2o4b3o2bo7bobo$8b2o13bo
30bo13b2o$16bo2bo4b2o26b2o4bo2bo$6bo64bo$5b2obo9b3o5b3o20b3o5b3o9bob2o
$5bo3bo15b2o24b2o15bo3bo$10bo13bo2b2o20b2o2bo13bo$4bo18bo30bo18bo$3bo
2b3obo13bobo2bo18bo2bobo13bob3o2bo$25b3o2bo16bo2b3o$3bobo20b2obo18bob
2o20bobo!

It had taken ~104m and ~9.6 GB at the time. It went on to hit the 16 GB limit (and found a few more repetitive variations of stuff like the above along the way). This all of course answers the asymmetric case as well so I think I'm done here.

[amling]

1 TB of RAM and 8 TB of SSDs for swap.

Holy crap! If you're taking requests, here are some things I would be interested in (in no particular order):

(snip)

Some of these might still not be feasible. I'm just throwing ideas out there. I'm sure I'll have more ideas later. You don't have to respond to any of these. Let me know if my suggestions get annoying.

A few of those I had remembered but assumed were too obscure to be worth it, most I had not. I'll add them all to the list to revisit, but it's going to be a loooong process. TBD how much of it I get through and/or if I kick any for being too slow.

If you append "History" to the end of the rule, then LifeViewer and Golly can run it as desired:

(A B3/S12History pattern)

Sadly the ancient golly provided by debian, 3.3 ("3.3-1.1+b2"), doesn't seem to like it. I may have to look into getting golly from external sources and just remember to edit the rule when I post.

[amling]

I'm starting with the B2a3i/S12 p3 searches since they've been one of my standards for comparison for some of this work and I want to see how they do first (it would be a bonus if they succeeded, either positively or negatively).

After about a week it hit the 4 TB limit I had set for it and died. This was after taking maybe only 5 hours to reach as far as that last EC2 box had gotten in about a month. Longest partial before it died:

Code: Select all

x = 103, y = 13, rule = B2a3i/S12History
F.31B.F.31B.F.31B.F$F.12BA9BA8B.F.12BA9BA8B.F.12BA9BA8B.F$F.7BA5BA7BA
9B.F.7BA2BA2BA7BA9B.F.7BA5BA7BA9B.F$F.8BAB2A2BA16B.F.8BA5BA16B.F.8BA
5BA16B.F$F.10B2ABA3BA2B2A2BA6B.F.13BA3BA6BA6B.F.10B2ABA3BA6BA6B.F$F.
16BABAB2ABA7B.F.10B2A4BABA4BA7B.F.8BA2BA4BABAB2ABA7B.F$F.6BA6BA17B.F.
6BAB2ABA8B2A9B.F.6BA5BA7BA10B.F$F.4BABAB2AB4A2B2A7BA4B.F.4BABAB2ABA3B
2A3BAB2A2BA4B.F.4BABA4B2A2B2A2BA6BA4B.F$F.3BA4BA5BA2B4AB2ABA2BA2B.F.
3BA16BAB2ABA2BA2B.F.3BA4B2A5B2A2B2A4BA2BA2B.F$F.7BA4BA2B2A6BA3BA3B.F.
6BA4B2A14BA3B.F.8BAB3A9B2A3BA3B.F$F.3B2A2B2A3BA3B2ABA4BA6B.F.3B6A2BA
7B2A4BA5B.F.3B2A3BABA8B3ABA7B.F$F.4BA7B2A3BABA3B2A2B2A2B.F.11BA8BA2B
6A2B.F.10BA5B2A3B3A3B2A2B.F$F.4BABA2BA2BA4B3A7BA3B.F.4BA2BA3B2A3B2A2B
A2BA7B.F.2BA7B4ABABA13B.F!

I find the similar patterns at the edges discouraging. I wonder if there is a p3 "level almost half-plane". The existence of the p3 wick doesn't immediately imply it but we've seen enough bits and pieces that I'm growing suspicious. The computer has moved on to the limited step count searches which I will probably allow to run until they hit 4 TB as well. I am not sure if I consider the slow slog from 4 TB to 9 TB (1 TB RAM plus 8 TB disk) for unlimited width worth returning to complete...

[H. H. P. M. P. Cole]

What about an onion-rings extender? In other words, something which extends this wick (possibly with a simpler boundary):

Code: Select all

x = 22, y = 60, rule = LifeHistory
22D$22D$22D$22D$22D$22D$22D$22D$22D$22D$22D$22D$22D$22D$22D$22D$22D$22D
$22D$22D$22D$22D$22D$4.A2.4A4.2A$3.A.A.A2.A.2A.A$3.A.A.A2.A.2A.A$4.A2.
4A4.2A$5.2A4.4A2.A$6.A.2A.A2.A.A.A$6.A.2A.A2.A.A.A$5.2A4.4A2.A$4.A2.4A
4.2A$3.A.A.A2.A.2A.A$3.A.A.A2.A.2A.A$4.A2.4A4.2A$5.2A4.4A2.A$6.A.2A.A
2.A.A.A$6.A.2A.A2.A.A.A$5.2A4.4A2.A$4.A2.4A4.2A$3.A.A.A2.A.2A.A$3.A.A
.A2.A.2A.A$4.A2.4A4.2A$5.2A4.4A2.A$6.A.2A.A2.A.A.A$6.A.2A.A2.A.A.A$5.
2A4.4A2.A$4.A2.4A4.2A$3.A.A.A2.A.2A.A$3.A.A.A2.A.2A.A$4.A2.4A4.2A$5.2A
4.4A2.A$6.A.2A.A2.A.A.A$6.A.2A.A2.A.A.A$5.2A4.4A2.A$7.4A4.2A$7.A2.A2.
2A$14.A$13.A$13.2A!

or larger versions thereof. The version shown here is width-16 and this structure repeats every 8 cells, so I am thinking of a 8c/16 glide-symmetric extender for this wick. I suggest starting with width-22 for this.

[Sokwe]

What about an onion-rings extender? In other words, something which extends this wick (possibly with a simpler boundary):

or larger versions thereof. The version shown here is width-16 and this structure repeats every 8 cells, so I am thinking of a 8c/16 glide-symmetric extender for this wick. I suggest starting with width-22 for this.

Period 16 at width 12 or 16 is almost certainly far too difficult. Period division seems to primahrily work for very small higher-period areas like the edge of a wick. Notice that in most of Amling's past agar stretcher results, the central agar was extended at period-5 or less. Only the edges had a higher period, and those edges were much smaller than the above onion rings agar.

[amling]

What about an onion-rings extender? In other words, something which extends this wick (possibly with a simpler boundary):

or larger versions thereof. The version shown here is width-16 and this structure repeats every 8 cells, so I am thinking of a 8c/16 glide-symmetric extender for this wick. I suggest starting with width-22 for this.

Period 16 at width 12 or 16 is almost certainly far too difficult. Period division seems to primahrily work for very small higher-period areas like the edge of a wick. Notice that in most of Amling's past agar stretcher results, the central agar was extended at period-5 or less. Only the edges had a higher period, and those edges were much smaller than the above onion rings agar.

As Sokwe says, I'm pretty sure this is way, way beyond my current techniques.

A real 8c/16 search of any width (as opposed to a weird --unwrap-v perturbation search only technically modeled at 8c/16) is quite a reach. Not that it's the only arbiter of how bad searches are, but the highest generation count (T part of period) I've had a successful result at for this type of search is 10 (e.g. 4c/10 -> 2c/5). I have tried a few searches in the 12 range with no luck, but 16 is pretty crazy even beyond that.

Additionally this is a very wide proposed start and all of it is full period stuff (as in proper 8c/16, not even readable as 4c/8). In some ways reduced period parts on the edges count for less in that they can not count as part of mid_steps with some PD steps in side closures (blah blah blah LLSSS recentering implementation details).

For comparison a rather long shot search I'm toying with right now is 2c/6 with just 6 (EDIT: err, 7? it's complicated...) full period columns (this is that 2c/6 x p5 x 2c/4 backwards seam between perpendicular and parallel stripes, read as 2c/6 to try to make a 2c/6 perpendicular stripes greystretcher) and it's not clear it's going to be able to get anywhere. 8c/16 and widths well into the double digits is just too much over even that.

[hotcrystal0]

Can you find a P5 or P7 to complete this partial for a slightly smaller gun_35?
Edit: the required spark is for the P70 gun on the right.

Edit 3: Partial for 79x40:

Code: Select all

x = 79, y = 41, rule = B3/S23
28b2o5bo5b2o$28bo2bo2bobo2bo2bo12b2o2bo$29b4o2bo2b4o13bo2b2o$22b2o8bo
5bo17b5o$19b2o2bo5b4o5b4o$19bob2o6bo3b5o3bo$18bo11bo2bobobo2bo15b5o$18b
o8b3o10b2o13bo2b2o$19bob2o3bo8bo19b2o2bo$19b2o2bobob5o3bo41b2o$22b2ob
obo3bo45bo$2o23bo3b3o5b2ob2o33bobo$bo23bo3b3o5b2o27b3o6b2o$bobo19b2ob
2o2bo5bo5b2o21bo3bo$2b2o18bobobob2o5bo6b2o20bo5bo$10b2o11bo2bobo7bo6b
o20bo5bo$9bo2b2o12bobo8b6o21bo5bo$9b2ob2o13bo9bo9bo17bo3bo$9b2ob2o22b
3o8b3o16b3o$11bo23b2obo11bo$49b2o14bo7b2o$73bo$4b2o49b2o17b3o$5bo26b2o
17b3o22bo$2b3o7b6o15b3o11bob2o2bo4bo$2bo7b3ob2ob3o13b2ob2o8b5o4bo$9bo
10bo14b3o8b2ob4o2bo$8bob5ob2ob2o18b2o7b2o5b2o3bo$8bobo6bobo19bobo8b2o
b2o3b2obo$6bobob2obo3bobo21bo8bobobo6bo$6b2obo3bo4bo10bobo9b2o18b2o$9b
obo18b2o19b3o$9b2o19bo17bo2b2o$47bobob2o$47bobobobo$44b2obobobobo2bo$
44bo2bo2b2ob4o$46b2o4bo$39bo12bobo$40bo12b2o$38b3o!

[amling]

Can you find a P5 or P7 to complete this partial for a slightly smaller gun_35?
Edit: the required spark is for the P70 gun on the right.

Edit 3: Partial for 79x40:

Code: Select all

x = 79, y = 41, rule = B3/S23
28b2o5bo5b2o$28bo2bo2bobo2bo2bo12b2o2bo$29b4o2bo2b4o13bo2b2o$22b2o8bo
5bo17b5o$19b2o2bo5b4o5b4o$19bob2o6bo3b5o3bo$18bo11bo2bobobo2bo15b5o$18b
o8b3o10b2o13bo2b2o$19bob2o3bo8bo19b2o2bo$19b2o2bobob5o3bo41b2o$22b2ob
obo3bo45bo$2o23bo3b3o5b2ob2o33bobo$bo23bo3b3o5b2o27b3o6b2o$bobo19b2ob
2o2bo5bo5b2o21bo3bo$2b2o18bobobob2o5bo6b2o20bo5bo$10b2o11bo2bobo7bo6b
o20bo5bo$9bo2b2o12bobo8b6o21bo5bo$9b2ob2o13bo9bo9bo17bo3bo$9b2ob2o22b
3o8b3o16b3o$11bo23b2obo11bo$49b2o14bo7b2o$73bo$4b2o49b2o17b3o$5bo26b2o
17b3o22bo$2b3o7b6o15b3o11bob2o2bo4bo$2bo7b3ob2ob3o13b2ob2o8b5o4bo$9bo
10bo14b3o8b2ob4o2bo$8bob5ob2ob2o18b2o7b2o5b2o3bo$8bobo6bobo19bobo8b2o
b2o3b2obo$6bobob2obo3bobo21bo8bobobo6bo$6b2obo3bo4bo10bobo9b2o18b2o$9b
obo18b2o19b3o$9b2o19bo17bo2b2o$47bobob2o$47bobobobo$44b2obobobobo2bo$
44bo2bo2b2ob4o$46b2o4bo$39bo12bobo$40bo12b2o$38b3o!

LLSSS is not very good at oscillators and I'm not very good at "smaller". For p5 I extracted this input and constraint file to capture spark and clearance requirements:

Code: Select all

| uuuuuuuuuuuuuuuuuuuuuuuuuRRR | uuuuuuuuuuuuuuuuuuuuuuuuuRRR | uuuuuuuuuuuuuuuuuuuuuuuuuRRR | uuuuuuuuuuuuuuuuuuuuuuuuuRRR | uuuuuuuuuuuuuuuuuuuuuuuuuRRR |
| ............................ | ............................ | ............................ | ............................ | ............................ |
| ............................ | ............................ | ............................ | ............................ | ............................ |
| ............................ | ............................ | ............................ | ............................ | ............................ |
| ............................ | ............................ | ............................ | ............................ | ............................ |
| ............................ | ............................ | ............................ | ............................ | ............................ |
| ............................ | ............................ | ............................ | ............................ | ............................ |
| ............................ | ............................ | ............................ | ............................ | ............................ |
| .............*.......**..... | .....................**..... | .....................**..... | .....................**..... | .....................**..... |
| .............?.......*...... | .............?.......*...... | .............?.......*...... | .............?.......*...... | .............?.......*...... |
| .............?........***... | .............?........***... | .............?........***... | .............?........***... | .............?........***... |
| .............?..........*... | .............?..........*... | .............?..........*... | .............?..........*... | .............?..........*... |
| .............?.............. | .............?.............. | .............?.............. | .............?.............. | .............?.............. |
| .............?.............. | .............?.............. | .............?.............. | .............?.............. | .............?.............. |
| .............?.............. | .............?.............. | .............?.............. | .............?.............. | .............?.............. |

Code: Select all

| uuuuuuuuuuuuuuuuuuuuuuuuuRRR | uuuuuuuuuuuuuuuuuuuuuuuuuRRR | uuuuuuuuuuuuuuuuuuuuuuuuuRRR | uuuuuuuuuuuuuuuuuuuuuuuuuRRR | uuuuuuuuuuuuuuuuuuuuuuuuuRRR |
| .........................WWW | .........................WWW | .........................WWW | .........................WWW | .........................WWW |
| .........................WWW | .........................WWW | .........................WWW | .........................WWW | .........................WWW |
| .........................WWW | .........................WWW | .........................WWW | .........................WWW | .........................WWW |
| .........................WWW | ........................WWWW | .........................WWW | .........................WWW | ........................WWWW |
| ........................WWWW | ........................WWWW | ........................WWWW | .........................WWW | ........................WWWW |
| ........................WWWW | ........................WWWW | ........................WWWW | .........................WWW | .......................WWWWW |
| ...........W...........WWWWW | ...........W...........WWWWW | ........................WWWW | .........................WWW | ...........W..........WWWWWW |
| ..........WW.*.......WWWWWWW | ..........WW.........**WWWWW | ..........WW.........**.WWWW | ..........WWW........**..WWW | ..........WWWW.......WWWWWWW |
| .........WWWWWWWWWWWWWWWWWWW | .........WWWW....WWWWWWWWWWW | .........WWWW........*..WWWW | .........WWWWWWWW....*..WWWW | .........WWWWWWWWWWWWWWWWWWW |
| ........WWWWWWWWWWWWWWWWWWWW | ........WWWWWWWWWWWWWWWWWWWW | ........WWWWWWWWWWWWWWWWWWWW | ........WWWWWWWWWWW...**WWWW | ........WWWWWWWWWWWWWWWWWWWW |
| .........WWWWWWWWWWWWWWWWWWW | .......WWWWWWWWWWWWWWWWWWWWW | .......WWWWWWWWWWWWWWWWWWWWW | ........WWWWWWWWWWWWWWWWWWWW | .........WWWWWWWWWWWWWWWWWWW |
| .........WWWWWWWWWWWWWWWWWWW | .......WWWWWWWWWWWWWWWWWWWWW | ........WWWWWWWWWWWWWWWWWWWW | ........WWWWWWWWWWWWWWWWWWWW | .........WWWWWWWWWWWWWWWWWWW |
| ..........WWWWWWWWWWWWWWWWWW | .......WWWWWWWWWWWWWWWWWWWWW | ........WWWWWWWWWWWWWWWWWWWW | ........WWWWWWWWWWWWWWWWWWWW | .........WWWWWWWWWWWWWWWWWWW |
| ..........WWWWWWWWWWWWWWWWWW | .......WWWWWWWWWWWWWWWWWWWWW | ........WWWWWWWWWWWWWWWWWWWW | ........WWWWWWWWWWWWWWWWWWWW | .........WWWWWWWWWWWWWWWWWWW |
| .......**.WWWWWWWWWWWWWWWWWW | .......WWWWWWWWWWWWWWWWWWWWW | .......WWWWWWWWWWWWWWWWWWWWW | .......*WWWWWWWWWWWWWWWWWWWW | .......**WWWWWWWWWWWWWWWWWWW |
| .......*.*WWWWWWWWWWWWWWWWWW | .......WWWWWWWWWWWWWWWWWWWWW | .......WWWWWWWWWWWWWWWWWWWWW | .......*WWWWWWWWWWWWWWWWWWWW | .......*.WWWWWWWWWWWWWWWWWWW |
| .........*WWWWWWWWWWWWWWWWWW | ......WWWWWWWWWWWWWWWWWWWWWW | ......WWWWWWWWWWWWWWWWWWWWWW | ......WWWWWWWWWWWWWWWWWWWWWW | .........WWWWWWWWWWWWWWWWWWW |
| .......WWWWWWWWWWWWWWWWWWWWW | .....WWWWWWWWWWWWWWWWWWWWWWW | .....WWWWWWWWWWWWWWWWWWWWWWW | .....WWWWWWWWWWWWWWWWWWWWWWW | .....WWWWWWWWWWWWWWWWWWWWWWW |
| .....WWWWWWWWWWWWWWWWWWWWWWW | .....WWWWWWWWWWWWWWWWWWWWWWW | ....WWWWWWWWWWWWWWWWWWWWWWWW | ....WWWWWWWWWWWWWWWWWWWWWWWW | ....WWWWWWWWWWWWWWWWWWWWWWWW |
| ....WWWWWWWWWWWWWWWWWWWWWWWW | ....WWWWWWWWWWWWWWWWWWWWWWWW | ....WWWWWWWWWWWWWWWWWWWWWWWW | ....WWWWWWWWWWWWWWWWWWWWWWWW | ....WWWWWWWWWWWWWWWWWWWWWWWW |
| ......WWWWWWWWWWWWWWWWWWWWWW | ......WWWWWWWWWWWWWWWWWWWWWW | ......WWWWWWWWWWWWWWWWWWWWWW | ......WWWWWWWWWWWWWWWWWWWWWW | ......WWWWWWWWWWWWWWWWWWWWWW |
| .......WWWWWWWWWWWWWWWWWWWWW | .......WWWWWWWWWWWWWWWWWWWWW | .......WWWWWWWWWWWWWWWWWWWWW | .......WWWWWWWWWWWWWWWWWWWWW | .......WWWWWWWWWWWWWWWWWWWWW |
| .......WWWWWWWWWWWWWWWWWWWWW | .......WWWWWWWWWWWWWWWWWWWWW | .......WWWWWWWWWWWWWWWWWWWWW | .......WWWWWWWWWWWWWWWWWWWWW | .......WWWWWWWWWWWWWWWWWWWWW |

Some test searches (using intraedge feature!) have produced partials like:

Code: Select all

x = 126, y = 14, rule = LifeHistory
F.22B.F.22B.F.22B.F.22B.F.22B.F$F.22B.F.22B.F.22B.F.22B.F.22B.F$F.13B
A7BA.F.21BA.F.21BA.F.21BA.F.21BA.F$F.12BA2BA5BA.F.12BA8BA.F.21BA.F.
21BA.F.12B3A6BA.F$F.11BA10B.F.11BA2B2A6B.F.11BA2B2A6B.F.11B5A6B.F.11B
AB3A6B.F$F.12B3ABA5B.F.12B3ABA5B.F.11B2ABABA5B.F.11B2A3BA5B.F.11BA2BA
BA5B.F$F.15B2A5B.F.12BA3BA5B.F.12BAB3A5B.F.16BA5B.F.16BA5B.F$F.13B2A
2B2A3B.F.13BA3B2A3B.F.12B3A2B2A3B.F.17B2A3B.F.17B2A3B.F$F.12BAB3A2BA
2B.F.12BAB3A2BA2B.F.8BA2B2AB3A2BA2B.F.8BA2B2AB3A2BA2B.F.12B5A2BA2B.F$
F.7B2A3BA4B2A3B.F.7B3AB2A4B2A3B.F.7BABA7B2A3B.F.7BA5BA3B2A3B.F.7B2A3B
2A3B2A3B.F$F.7BAB2A2B3A6B.F.7BAB7A6B.F.7BA6B2A6B.F.7BA6B2A6B.F.7BABA
4B2A6B.F$F.9BABA3BAB2A3B.F.8B2AB2A2BAB2A3B.F.8BA6BAB2A3B.F.8B3A4BAB2A
3B.F.9B2A4BAB2A3B.F$F.11BA3BA2BA3B.F.10BA4BA2BA3B.F.9B3A3BA2BA3B.F.7B
2A2BA3BA2BA3B.F.7BA2B2A3BA2BA3B.F$F.16BA5B.F.16BA5B.F.6BABAB2A4BA5B.F
.8BA3BA3BA5B.F.10BA5BA5B.F!

I'll leave a few lines of searches running to 8 GB but I'm just not very optimistic about this one.

[wwei47]

Code: Select all

x = 126, y = 14, rule = LifeHistory
F.22B.F.22B.F.22B.F.22B.F.22B.F$F.22B.F.22B.F.22B.F.22B.F.22B.F$F.13B
A7BA.F.21BA.F.21BA.F.21BA.F.21BA.F$F.12BA2BA5BA.F.12BA8BA.F.21BA.F.
21BA.F.12B3A6BA.F$F.11BA10B.F.11BA2B2A6B.F.11BA2B2A6B.F.11B5A6B.F.11B
AB3A6B.F$F.12B3ABA5B.F.12B3ABA5B.F.11B2ABABA5B.F.11B2A3BA5B.F.11BA2BA
BA5B.F$F.15B2A5B.F.12BA3BA5B.F.12BAB3A5B.F.16BA5B.F.16BA5B.F$F.13B2A
2B2A3B.F.13BA3B2A3B.F.12B3A2B2A3B.F.17B2A3B.F.17B2A3B.F$F.12BAB3A2BA
2B.F.12BAB3A2BA2B.F.8BA2B2AB3A2BA2B.F.8BA2B2AB3A2BA2B.F.12B5A2BA2B.F$
F.7B2A3BA4B2A3B.F.7B3AB2A4B2A3B.F.7BABA7B2A3B.F.7BA5BA3B2A3B.F.7B2A3B
2A3B2A3B.F$F.7BAB2A2B3A6B.F.7BAB7A6B.F.7BA6B2A6B.F.7BA6B2A6B.F.7BABA
4B2A6B.F$F.9BABA3BAB2A3B.F.8B2AB2A2BAB2A3B.F.8BA6BAB2A3B.F.8B3A4BAB2A
3B.F.9B2A4BAB2A3B.F$F.11BA3BA2BA3B.F.10BA4BA2BA3B.F.9B3A3BA2BA3B.F.7B
2A2BA3BA2BA3B.F.7BA2B2A3BA2BA3B.F$F.16BA5B.F.16BA5B.F.6BABAB2A4BA5B.F
.8BA3BA3BA5B.F.10BA5BA5B.F!

I'll leave a few lines of searches running to 8 GB but I'm just not very optimistic about this one.

Um...that intersects where the eater would be in the gun partial.

[hotcrystal0]

Code: Select all

x = 126, y = 14, rule = LifeHistory
F.22B.F.22B.F.22B.F.22B.F.22B.F$F.22B.F.22B.F.22B.F.22B.F.22B.F$F.13B
A7BA.F.21BA.F.21BA.F.21BA.F.21BA.F$F.12BA2BA5BA.F.12BA8BA.F.21BA.F.
21BA.F.12B3A6BA.F$F.11BA10B.F.11BA2B2A6B.F.11BA2B2A6B.F.11B5A6B.F.11B
AB3A6B.F$F.12B3ABA5B.F.12B3ABA5B.F.11B2ABABA5B.F.11B2A3BA5B.F.11BA2BA
BA5B.F$F.15B2A5B.F.12BA3BA5B.F.12BAB3A5B.F.16BA5B.F.16BA5B.F$F.13B2A
2B2A3B.F.13BA3B2A3B.F.12B3A2B2A3B.F.17B2A3B.F.17B2A3B.F$F.12BAB3A2BA
2B.F.12BAB3A2BA2B.F.8BA2B2AB3A2BA2B.F.8BA2B2AB3A2BA2B.F.12B5A2BA2B.F$
F.7B2A3BA4B2A3B.F.7B3AB2A4B2A3B.F.7BABA7B2A3B.F.7BA5BA3B2A3B.F.7B2A3B
2A3B2A3B.F$F.7BAB2A2B3A6B.F.7BAB7A6B.F.7BA6B2A6B.F.7BA6B2A6B.F.7BABA
4B2A6B.F$F.9BABA3BAB2A3B.F.8B2AB2A2BAB2A3B.F.8BA6BAB2A3B.F.8B3A4BAB2A
3B.F.9B2A4BAB2A3B.F$F.11BA3BA2BA3B.F.10BA4BA2BA3B.F.9B3A3BA2BA3B.F.7B
2A2BA3BA2BA3B.F.7BA2B2A3BA2BA3B.F$F.16BA5B.F.16BA5B.F.6BABAB2A4BA5B.F
.8BA3BA3BA5B.F.10BA5BA5B.F!

I'll leave a few lines of searches running to 8 GB but I'm just not very optimistic about this one.

Um...that intersects where the eater would be in the gun partial.

No, the point is the bottom part also functions as the eater, like the blinker-deleting domino in the P65 pi hassler.