Suggested patterns for Golly

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muzik
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Suggested patterns for Golly

Post by muzik » December 18th, 2021, 9:20 pm

Recently, the "Golly suggestions" thread has been largely used for suggesting patterns and examples to be bundled with future Golly releases. I'm creating a separate thread for this, however, so that said proposals can be grouped together and that thread left for suggestions related to the program. (If it's possible for a moderator to move all prior posts dealing with pattern suggestions to this thread, that would be appreciated.)

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Re: Suggested patterns for Golly

Post by dvgrn » December 18th, 2021, 9:50 pm

muzik wrote:
December 18th, 2021, 9:20 pm
Recently, the "Golly suggestions" thread has been largely used for suggesting patterns and examples to be bundled with future Golly releases. I'm creating a separate thread for this, however, so that said proposals can be grouped together and that thread left for suggestions related to the program.
Looks good -- thanks!
muzik wrote:
December 18th, 2021, 9:20 pm
(If it's possible for a moderator to move all prior posts dealing with pattern suggestions to this thread, that would be appreciated.)
As far as I know, previous pattern suggestions have all been accepted or rejected, so they would clutter up this thread just as much as they clutter up the other thread. Unless there's some reason to do all that extra sorting, and seems-like-unnecessary decoupling of messages from their original context, I'm going to leave everything where it is. Some other moderator is welcome to move things around if I seem to be wrong about this.

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Re: Suggested patterns for Golly

Post by muzik » December 18th, 2021, 10:05 pm

To start off, here's some suggestions involving patterns I discovered myself. Currently I'm just posting these patterns as-is so the community can decide which of these is interesting enough as to warrant inclusion as example patterns, and I'll only be adding descriptions and such to those which are agreed to qualify.

- Slowest natural spaceship: The following spaceship travels at a speed of 4c/273954 - that is, around one cell every 68488.5 elapsed generations. As far as I'm aware, if we discount universal construction technology, rules and rule families with arbitrarily slow spaceships and rules constructed specifically to contain extremely slow spaceships, this is the record holder for the slowest known spaceship.

Code: Select all

x = 100, y = 100, rule = R45,C2,S2884-4922,B2500-4973
40b20o$36b9o10b9o$34b7o5b8o5b7o$32b6o6b12o6b6o$30b6o6b16o6b6o$28b6o5b
22o5b6o$27b5o5b26o5b5o$25b6o3b32o3b6o$24b5o4b34o4b5o$22b6o3b38o3b6o$
21b6o2b42o2b6o$20b6o2b44o2b6o$19b6o2b46o2b6o$18b6ob50ob6o$16b7ob52ob7o
$15b7ob54ob7o$15b6ob56ob6o$14b6ob58ob6o$13b6ob60ob6o$12b6ob62ob6o$11b
6ob64ob6o$10b6ob66ob6o$9b6ob68ob6o$9b82o$8b84o$7b5ob74ob5o$7b4ob76ob4o
$6b4ob78ob4o$5b90o$5b43o4b43o$4b4ob34o14b34ob4o$4b37o18b37o$3b37o20b
37o$3b3ob32o22b32ob3o$3b34o26b34o$2b4ob29o28b29ob4o$2b33o30b33o$2b32o
32b32o$b33o32b33o$b32o34b32o$b31o36b31o$b31o36b31o$31o38b31o$31o38b31o
$31o38b31o$30o40b30o$30o40b30o$30o40b30o$30o40b30o$31o38b31o$31o38b31o
$31o38b31o$31o38b31o$3ob27o38b27ob3o$3ob28o36b28ob3o$b3ob27o36b27ob3o$
b3ob27o36b27ob3o$b2o3b27o34b27o3b2o$b3o2b28o32b28o2b3o$b3o3b27o32b27o
3b3o$2b2o3b28o30b28o3b2o$2b3o2b29o28b29o2b3o$2b3o3b29o26b29o3b3o$3b3o
2b30o24b30o2b3o$3b3o3b30o22b30o3b3o$4b3o2b32o18b32o2b3o$4b3o3b32o16b
32o3b3o$5b3o2b34o12b34o2b3o$5b3o3b78o3b3o$6b3o3b76o3b3o$6b4o2b76o2b4o$
7b4o2b74o2b4o$7b4o3b72o3b4o$8b4o2b72o2b4o$9b4o2b70o2b4o$9b5o2b68o2b5o$
10b5o2b66o2b5o$11b6ob64ob6o$12b6ob62ob6o$13b6ob60ob6o$13b7ob58ob7o$14b
7ob56ob7o$15b7ob54ob7o$16b7ob52ob7o$17b7ob50ob7o$18b7ob48ob7o$19b7ob
46ob7o$20b8ob42ob8o$22b7ob40ob7o$23b8ob36ob8o$24b8o2b32o2b8o$26b8o2b
28o2b8o$27b9o2b24o2b9o$29b10o2b18o2b10o$31b10o2b14o2b10o$33b34o$35b30o
$38b24o$41b18o$48b4o!
- Highly replicator-like sawtooths: I have three examples; one linear-looking quadratic sawtooth, one quadratic-looking quadratic sawtooth, and one quadratic-looking linear sawtooth. These sawtooths evolve in a fashion that closely resembles the replication manner of linear and quadratic replicators: after their cycles, the constituent patterns appear distanced by a progressively widening span. Effectively, these are replicators that don't replicate, making it not actually be a replicator even though it shares many of their attributes. One of these seems to have been previously been suggested as a pattern for inclusion under the guise of an actual replicator, resulting in its subsequent rejection due to again, not actually being a replicator.

Code: Select all

x = 14, y = 3, rule = B3aiy4ew5ace6c7c8/S2-ai3-jkq4ceirt5ce6-ak7c8
bo10bo$3o8b3o$bo10bo!

Code: Select all

x = 6, y = 5, rule = B2ci3aiy4ew5ce6c7c8/S1e2ce3acein4ceit5e6cei7c8
o2$o2$3bobo!

Code: Select all

x = 11, y = 11, rule = B2ce3y4e5y6c/S1c2i3ciy4ct5ey6i7e8
5bo$4bobo$5bo$5bo$bo7bo$ob2o3b2obo$bo7bo$5bo$5bo$4bobo$5bo!
- Glider-producing quadratic replicator: There are plenty of cases of linear replicators that produce spaceships, but this seems to be the only 2D replicator that produces spaceships, which cleanly annihilate each other on the inside to allow for replication to continue.

Code: Select all

x = 5, y = 2, rule = B2e3i4a6i/S1c2-an3i
o3bo$b3o!
- Ironic spaceship: I'm not sure if this is notable or interesting enough to add to the collection, but I just find it hilarious that two traffic lights, devices which are designed to make vehicles stop, join forces to become a moving object itself. It certainly goes to show that tweaking just a few minor values in a known rule like Life here allows for such significantly different reactions to take place.

Code: Select all

x = 9, y = 17, rule = B36-in7e/S23
4bo$4bo$4bo2$3o3b3o2$4bo$4bo$4bo2$3b3o2$bo5bo$bo5bo$bo5bo2$3b3o!
- Anarchic explosion collapses after being disturbed: Honestly I didn't pay too much attention to this one at first, but people made enough fuss about it that it ended up as an entry in OCADOTY, so it must be something.

Code: Select all

x = 234, y = 140, rule = R2,C0,S4-7,9-12,B4,11-12,NB
225bob3o$226b2ob2o$225b2obo2bo$224bo2b3ob2o$225b2obobo$227b5o$225b2obo
3bo$226b2obo$226b3o2b2o$230b2obo$229bo2b2o$230bobo$231bo71$11b3o$6b5o
3bo$3b8o3bo$2bo3b2obob3o$2bo2bob7o$bo3bo3b3obo$bo3b5o3bo$o4b2ob2o3bo$o
3bo3bob3o$o3bo3bo2b2o$o4bobo3b2o$o5b2o2b3o$bo5b3o2bo$bo4bo5bo$2b5o4bo$
11bo$7b5o$6bo2b4o$7b2o4bo$13bo$10b4o$9bo3bo$8b6o$7bob5o$7bo5bo$8bo4bo$
8b2ob3o$9b5o$11bobo$10b2obo$10b4o$10b5o$9b6o$9bob3o$9b2o2b2o$9b3o2bo$
9b2obobo$11b3o$13bo$13bo$13bo$10b4o$10b3o$10bo2bo$10bo2b2o$11b4o$14bo$
14bo$11b2obo$11b4o$13bo$13bo$12b3o$5b2o5b3o$6b3o5b2o$6bo2b3ob2o$7b6o!

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GUYTU6J
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Re: Suggested patterns for Golly

Post by GUYTU6J » December 18th, 2021, 10:39 pm

dvgrn wrote:
December 18th, 2021, 9:50 pm
muzik wrote:
December 18th, 2021, 9:20 pm
(If it's possible for a moderator to move all prior posts dealing with pattern suggestions to this thread, that would be appreciated.)
As far as I know, previous pattern suggestions have all been accepted or rejected, so they would clutter up this thread just as much as they clutter up the other thread. Unless there's some reason to do all that extra sorting, and seems-like-unnecessary decoupling of messages from their original context, I'm going to leave everything where it is. Some other moderator is welcome to move things around if I seem to be wrong about this.
There is the precedence of Updated oscillator stamp collection, isn't it? Moreover these posts serve as nice examples of how patterns and especially their comments will be formatted for Golly's collection. So I agree with muzik on moving the old posts. Al least those of yours that gave instructions :idea:

Another earlier thread is Extended pattern collection for Golly, which in my opinion should be used for patterns that will enter the Online Archieves, not those bundled with Golly in the Patterns folder. And this one is partly related, but there are too many chitchats to use and so it should be obsoleted by this thread.
muzik wrote:
December 18th, 2021, 10:05 pm
...
- Glider-producing quadratic replicator: There are plenty of cases of linear replicators that produce spaceships, but this seems to be the only 2D replicator that produces spaceships, which cleanly annihilate each other on the inside to allow for replication to continue.

Code: Select all

x = 5, y = 2, rule = B2e3i4a6i/S1c2-an3i
o3bo$b3o!
...
Beg pardon? (The second one is already registered. Interestingly, note that, yours and two of mine produce spaceships in three distinct ways.)
Why do most natural OCA rules tend to get a diminishing span of interest and go into oblivion, like a lost civilization leaving little records for its beauty and power?

I have been focusing on this rule, now in industrial era:

熠熠种花 - Glimmering Garden

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Re: Suggested patterns for Golly

Post by dvgrn » December 19th, 2021, 7:29 am

muzik wrote:
December 18th, 2021, 10:05 pm
To start off, here's some suggestions involving patterns I discovered myself. Currently I'm just posting these patterns as-is so the community can decide which of these is interesting enough as to warrant inclusion as example patterns, and I'll only be adding descriptions and such to those which are agreed to qualify.
There's quite a bit of room in Golly's pattern collection for patterns of this size. If someone goes to the trouble of writing up thorough comments for any of these, that will be a sign that at least one person is interested enough in the pattern to do that work. I mostly try to avoid second-guessing that kind of effort, so would probably just go ahead and check them in at that point, plus or minus whatever editorial changes seem to be needed.

Case in point re: editorial changes:
muzik wrote:
December 18th, 2021, 10:05 pm
- Anarchic explosion collapses after being disturbed: Honestly I didn't pay too much attention to this one at first, but people made enough fuss about it that it ended up as an entry in OCADOTY, so it must be something.
I like this one a lot, but it doesn't really get the point across to have the disturbance be a large active pattern, especially when it's a random scribble that's bigger than the original seed of the expanding object.

Here's a version that has a much smaller disturbance, and goes stable at T=4630 instead of T=8604 -- seems like an improvement, no?

Code: Select all

x = 256, y = 4, rule = R2,C0,S4-7,9-12,B4,11-12,NB
3o251bo$3o252bo$b2o251bo$2o253bo!
Without the disturbance, the pattern expands at least to T=5000 without collapsing. It sure looks like there's something subtle about the apparently chaotic expansion, that means that it can't ever generate a structure that causes it to collapse. But unlike things like checkerboard defects where two sections end up obviously incompatible for simple parity reasons, it's not clear here (at least to me) why disturbances are so fatal.

To make things weirder, 3x3 blocks don't seem to count as disturbances, even though they do affect the evolution of the expanding chaos:

Code: Select all

#C nice emergent symmetrical still life at T=2441
x = 256, y = 39, rule = R2,C0,S4-7,9-12,B4,11-12,NB
166b3o$166b3o$166b3o5$133b3o$133b3o$133b3o3$97b3o$97b3o$97b3o2$3o59b3o
189bo$3o35b3o21b3o190bo$b2o35b3o21b3o189bo$2o36b3o214bo$164b3o$164b3o$
82b3o79b3o$82b3o$82b3o2$123b3o$123b3o$123b3o8$190b3o$190b3o$190b3o!
Some small oscillators can either be disturbances or not, depending on tiny differences in position or even phase:

Code: Select all

x = 96, y = 9, rule = R2,C0,S4-7,9-12,B4,11-12,NB
3o$3o$b2o$2o$93bo$92bobo$91bo3bo$92bobo$93bo!
vs.

Code: Select all

x = 96, y = 9, rule = R2,C0,S4-7,9-12,B4,11-12,NB
3o$3o$b2o$2o$92bobo$91bo3bo2$91bo3bo$92bobo!
I'm probably re-inventing the wheel here, but I don't see a lot of investigation of the "hidden crystal structure" in the original postings for this rule.

EDIT: The smallest seed for the Controlled-Chaos Crystal is ten cells in a 3x4 box -- smaller than I expected. But not all chaos-crystals converge to that one. It's possible for two chaotic patches to either be in sync with each other, or definitely not in sync. The fact that crystals can merge definitely seems to suggest that different forever-expanding crystals don't always end up converging to the same structure.

Code: Select all

x = 703, y = 304, rule = R2,C0,S4-7,9-12,B4,11-12,NB
2o$b2o$3o$3o197$700b3o$700b3o$701b2o$700b2o97$600b3o$600b3o$600b2o$
601b2o!
3x4 contains one other rare surprise, which is also explosive and yet also susceptible to disruption:

Code: Select all

x = 999, y = 4, rule = R2,C0,S4-7,9-12,B4,11-12,NB
b2o994bo$3o995bo$3o994bo$b2o995bo!

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Re: Suggested patterns for Golly

Post by dvgrn » December 19th, 2021, 7:51 am

GUYTU6J wrote:
December 18th, 2021, 10:39 pm
There is the precedence of Updated oscillator stamp collection, isn't it?
Absolutely! I just don't always follow precedents. For those posts, a lot of technical negotiations were needed about how exactly to set up the oscillator repository on GitHub -- so it seemed best to declutter the thread.

Conversely, most recent Golly suggestions have legitimately been about improving the pattern collection, and I'm very happy to have that discussion be as visible as possible -- so I'd like to leave it all right where it is.
GUYTU6J wrote:
December 18th, 2021, 10:39 pm
Moreover these posts serve as nice examples of how patterns and especially their comments will be formatted for Golly's collection. So I agree with muzik on moving the old posts. Al least those of yours that gave instructions :idea:
Okay, how about if I just quote the other thread, then? Also for starters please review this introductory post, and maybe [url=https://www.conwaylife.com/forums/viewt ... 092#p51092]this older intro[/quote] which gives a sense of how long I've been looking for people to put on their Pattern Collector's Hats.

Here's a sample pattern converted into a template for new pattern suggestions:

Code: Select all

#N {lowercase-no-spaces-no-underlines-name-of-pattern}.rle
#O {name of discoverer}, {date of discovery in day monthname year format, like "1 January 2022"}
#C     {short or long description of the rule, the pattern /
#C what specifically is interesting about the pattern /
#C what happens at various key times T = n1, n2, n3 ... /
#C what is known or unknown or a current topic of research}
#C
#C {blank lines as needed for readability}
#C
#C Reference:  {usually this is where the original discovery was posted}
#C    https://www.conwaylife.com/forums/viewtopic.php?p={conwaylife.com post number}#p{post number again}
#C {where should someone go if they're interested in more information / "more patterns like this one"?}
#C For other {patterns/rules in this category}, see https://www.conwaylife.com/forums/viewtopic.php?f={forum number}&t={thread number}
x = 3, y = 3, rule = {rule string}
o!
dvgrn wrote:
October 21st, 2021, 10:12 am
To get patterns like this checked into Golly, I really like to have some comments about where the pattern came from, what the pattern does that a viewer can look for, where to find more information (forum link), and so on. See the comments in existing patterns in Golly's collection for samples (hit 'i' after opening patterns).

The lack of good comments has always been the big reason why more patterns don't get checked in to Golly's collection. Doing all of the research to come up with comments for such a wide range of patterns and rules... well, long story short, it just doesn't seem to happen. I can do the actual checkins to the Golly repository, for sure, but for generating comments I need more help.
dvgrn wrote:
October 22nd, 2021, 11:02 am
GUYTU6J wrote:
October 21st, 2021, 11:23 pm

I did suggest a few with these comments, are they okay? (EDITed to remove inappropriate attribution)
...
If yes, maybe I can volunteer to write for some more patterns. (But there will be no refs to discord as I cannot access it.)

These are all great, especially with the multiple forum links added, like the "where to go for more like this" ones. Thank you very much! I've gone ahead and checked these in under the "Non-Totalistic" folder.

I'm definitely trying to encourage more contributions like this, so please everyone notice how quickly things can happen, when a suggested pattern doesn't need an indeterminate amount of research and writing work before it can be added!

I've made inconsequential formatting changes to the comments of each pattern. I'm happy to do this kind of once-over, since it makes sure that I review the comments carefully and catch any typos and such. But if you're curious about the changes, they were

1) no quotes around forum usernames (just to match what's already in Golly's pattern collection)
2) only one #O line, containing mostly just discoverer and date
3) maximum line length (where possible) of 70 characters, just to match the traditional width of RLE patterns. There's really no other reason for this rule, so it can be cheerfully ignored whenever necessary, like if there's a table being presented in comments, or LifeViewer labels or waypoint commands, or if a URL is longer than 70 characters.
4) occasional blank #C lines between sections for readability
5) RLE in regular compressed format rather than Catagolue's pseudo-ASCII format with no compression
6) "[name].rle" pattern names in the initial #N line changed to all lowercase. Sometimes I've broken this rule accidentally, and then it's not worth fixing, but all lowercase would be a lot better for a cross-platform app like Golly (given that case matters in filenames on Linux/Mac but doesn't matter on Windows -- ouch.)


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Re: Suggested patterns for Golly

Post by muzik » December 19th, 2021, 10:50 am

dvgrn wrote:
December 19th, 2021, 7:29 am
I like this one a lot, but it doesn't really get the point across to have the disturbance be a large active pattern, especially when it's a random scribble that's bigger than the original seed of the expanding object.

Here's a version that has a much smaller disturbance, and goes stable at T=4630 instead of T=8604 -- seems like an improvement, no?
Absolutelyl̦ as said pattern was originally only intended for a quick demonstration for a phenomenon I, again, didn't pay too much attention to. Having a smaller pattern that gets the both the clear endlessness of the explosion and its susceptibility to decay over with faster, as well as with a smaller and clearly more natural disturbance triggering it, is much better.

As for the discussion of what makes this thing tick, I've created a dedicated thread for the matter as to not derail this thread which was itself created to mitigate the derailing of another thread.

On the topic of patterns like that, though, and I'm continuing to discuss it here since another possible candidate for inclusion arises due to this subject, there are other examples of this phenomenon where the cause of explosive behaviour is less subtle. The following example showcases the rule Blocks for Days, which I accidentally found out explodes upon D2_+1 symmetry, but is well-behaved with no symmetry. (Granted, why it only explodes on D2_+1 symmetry and not in asymmetry I don't know, but it's clear enough that D2_+1 symmetry is the reason why it explodes in the first place, unlike the chaotic example we've been discussing, in which both facets are a mystery.) Observe the chaotic expansion shown by the soup to the left, and how it disintegrates back to "normal" upon collision with the strategically-placed 3x1 rectangle on the right (again, this is a quick demonstration pattern for the phenomenon, and a much more refined example could be created if we choose to include this effect in Golly's pattern examples):

Code: Select all

x = 652, y = 39, rule = B2-ae3-cij4a5aj6e7e8/S01e2ai3ar4ar5air6ae7c8
4obob6obo3b2o$2bo2bo2bo3bo4b3o$5b3o4bo3b4o$b2o2bob3o2bo4b3o$5bob2o2b3o
2b3o$o3bob2ob5o2b3o$b3obob4o2bo2b4o$b4ob4o2b4o2b2o$3bob2o3b2o2b6o$obob
3o2bob3obobo$3o3bo10b3o$3b2obobobo2b2ob2o$2bob3o2bo2b2o2b4o$obobob2o3b
o4b2o$b2obobob6o2bobo$3b3ob2o2bo2bo2bo$3ob2o3bob2obo$b2o4bobobob3o3bo$
o2bo5bo3bob2o2bo$2b2o2b2obob2o2bob2o$o2bo5bo3bob2o2bo$b2o4bobobob3o3bo
$3ob2o3bob2obo$3b3ob2o2bo2bo2bo$b2obobob6o2bobo$obobob2o3bo4b2o$2bob3o
2bo2b2o2b4o$3b2obobobo2b2ob2o$3o3bo10b3o$obob3o2bob3obobo$3bob2o3b2o2b
6o$b4ob4o2b4o2b2o$b3obob4o2bo2b4o$o3bob2ob5o2b3o$5bob2o2b3o2b3o630b3o$
b2o2bob3o2bo4b3o$5b3o4bo3b4o$2bo2bo2bo3bo4b3o$4obob6obo3b2o!

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Re: Suggested patterns for Golly

Post by dvgrn » December 19th, 2021, 12:15 pm

muzik wrote:
December 19th, 2021, 10:50 am
Observe the chaotic expansion shown by the soup to the left, and how it disintegrates back to "normal" upon collision with the strategically-placed 3x1 rectangle on the right...
Absolutely! (jinx again) -- I'm sure you know much better than I do what a wide range of rules have this explosive-only-when-symmetrical kind of behavior. I figure it's just stochasticity, a shift in the odds -- along the key boundary there are likely to be more births than deaths, on average, up to a very active and explosive level... whereas everywhere else not on that line there are likely to be more deaths than births.

I just found it interesting that the Creepy Crystal Chaos rule, which has this whole other trick up its sleeve even in asymmetrical patterns, also happens to be one of those symm-explosive rules.

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Re: Suggested patterns for Golly

Post by muzik » December 19th, 2021, 2:56 pm

I've recently adapted the "higher-state Margolus oscillator" rules (the oscillators of which I've retconned to MarBlocks, to retain their connection to Margolus rules and block CA, but not outright calling them Margolus rules anymore to reduce confusion for reasons too long to explain here) to support 1D domino replicators. This is to showcase the inherent Rule 90 and up internal behaviour exhibited by these oscillators. The diagonal versions of these oscillators, when paired with a replicator shuttle aligned as such, make it extremely clear to see the resemblance in action (even if it does make the structural XORing of rectangles inherent to their structure harder to see). Here's a demo for the 2-state case featuring a p4194302:

Code: Select all

x = 54, y = 55, rule = B2ae/S
bo48bobo$o49bo2bo6$50bo$49bo$48bo$47bo$46bo$45bo$44bo$43bo$42bo$41bo$
40bo$39bo$38bo$37bo$36bo$35bo$34bo$33bo$32bo$31bo$30bo$29bo$28bo$27bo$
26bo$25bo$24bo$23bo$22bo$21bo$20bo$19bo$18bo$17bo$16bo$15bo$14bo$13bo$
12bo$11bo$10bo$9bo$8bo$7bo$6bo$5bo$4bo$3bo!
It's clear to see here that the patterns formed by the replicators are a complete match to that exhibited by the sides of the marblock oscillator below it. The 3-, 5- and 7-state rules also make this clear:

Code: Select all

x = 54, y = 55, rule = MarBlocks-3-rep
bo48bobo$o49bo2bo6$50bo$49bo$48bo$47bo$46bo$45bo$44bo$43bo$42bo$41bo$
40bo$39bo$38bo$37bo$36bo$35bo$34bo$33bo$32bo$31bo$30bo$29bo$28bo$27bo$
26bo$25bo$24bo$23bo$22bo$21bo$20bo$19bo$18bo$17bo$16bo$15bo$14bo$13bo$
12bo$11bo$10bo$9bo$8bo$7bo$6bo$5bo$4bo$3bo!

Code: Select all

x = 54, y = 55, rule = MarBlocks-5-rep
bo48bobo$o49bo2bo6$50bo$49bo$48bo$47bo$46bo$45bo$44bo$43bo$42bo$41bo$
40bo$39bo$38bo$37bo$36bo$35bo$34bo$33bo$32bo$31bo$30bo$29bo$28bo$27bo$
26bo$25bo$24bo$23bo$22bo$21bo$20bo$19bo$18bo$17bo$16bo$15bo$14bo$13bo$
12bo$11bo$10bo$9bo$8bo$7bo$6bo$5bo$4bo$3bo!

Code: Select all

x = 54, y = 55, rule = MarBlocks-7-rep
bo48bobo$o49bo2bo6$50bo$49bo$48bo$47bo$46bo$45bo$44bo$43bo$42bo$41bo$
40bo$39bo$38bo$37bo$36bo$35bo$34bo$33bo$32bo$31bo$30bo$29bo$28bo$27bo$
26bo$25bo$24bo$23bo$22bo$21bo$20bo$19bo$18bo$17bo$16bo$15bo$14bo$13bo$
12bo$11bo$10bo$9bo$8bo$7bo$6bo$5bo$4bo$3bo!
I'd personally like to include all four of these, plus example patterns for each, in Golly's pattern collection, since to my knowledge this is a first, nobody has tried making these generalised oscillator families before, and the above patterns show the link between replicators, marblocks and 1D replication rules as clearly as possibly can be. I'd also be very interested in what Nathaniel has to say about them, given his blog post on the matter and paper on 2x2 - it'd at least make for an interesting footnote.

Sokwe
Moderator
Posts: 2217
Joined: July 9th, 2009, 2:44 pm

Re: Suggested patterns for Golly

Post by Sokwe » December 19th, 2021, 11:08 pm

Parts of the Life folder seem very outdated. For example, Life/Spaceships/diagonal.rle and Life/Spaceships/orthogonal.rle are poor representatives of current small spaceship technology. I don't plan to make any updates myself, but maybe someone could find the inspiration to look through and update old patterns.

Here is a slight correction to Life/Oscillators/phase-shift.rle: EDIT by dvgrn: checked in.

Code: Select all

#C It is a fundamental challenge of oscillator construction to build
#C  high periods from lower periods.  One way to do this is to
#C  periodically shift the phase of an oscillator.  In the most famous
#C  case, a period-7 oscillator can be delayed by one generation using
#C  a single spark.  This allows the construction of oscillators of
#C  periods 7n+1, so for example, a period-8 oscillator can be built
#C  using a suitable period-4 spark.
#C This collection shows the possible periods (up to 50) achievable
#C  with different phase-shifting reactions.  The oscillator being
#C  shifted is included at the top of each column.  Periods marked
#C  with a tub cannot be built with lower-period components.
#C A small number of miscellaneous phase-shift reactions are included
#C  at the bottom of the pattern.
x = 949, y = 487, rule = B3/S23
12bob2o33b2obo69bob2o33b2obo69b2obo33b2obo59bob2o31b2o63bob2o31b2o73b
2obo31b2o63b2obo33b2obo49b2obo31b2o46b2o5b2obo33b2obo42b2o5b2obo31b2o$
12b2obo33bob2o69b2obo33bob2o69bob2o33bob2o59b2obo32bo63b2obo32bo73bob
2o32bo63bob2o33bob2o49bob2o32bo47bo5bob2o33bob2o43bo5bob2o32bo$10b2o
41b2o65b2o41b2o65b2o35b2o4b2o61b2o29bo68b2o29bo72b2o4b2o29bo62b2o4b2o
35b2o45b2o4b2o29bo47bo4b2o4b2o35b2o40bo4b2o4b2o29bo$11bo26bo14bo67bo
26bo14bo66bo27bo8bo5bo63bo29b2o68bo20bo8b2o71bo5bo21bo8b2o61bo5bo21bo
14bo46bo5bo21bo8b2o46b2o3bo5bo36bo41b2o3bo5bo21bo8b2o$10bo10bo2b2o11bo
bo14bo65bo10bo2b2o11bobo14bo66bo9bo2b2o11bobo8bo5bo61bo4bo2b2o90bo4bo
2b2o11bobo81bo5bo3bo2b2o11bobo71bo5bo3bo2b2o11bobo14bo46bo5bo3bo2b2o
11bobo61bo5bo3bo2b2o28bo46bo5bo3bo2b2o11bobo$10b2o9b4o2bo9bobo13b2o65b
2o9b4o2bo9bobo13b2o65b2o9b4o2bo9bobo7b2o4b2o61b2o3b4o2bo19b2o67b2o3b4o
2bo9bobo7b2o71b2o4b2o3b4o2bo9bobo7b2o61b2o4b2o3b4o2bo9bobo13b2o45b2o4b
2o3b4o2bo9bobo7b2o46b2o3b2o4b2o3b4o2bo25b2o40b2o3b2o4b2o3b4o2bo9bobo7b
2o$12bob2o10b2o7b3ob3o7b2obo69bob2o10b2o7b3ob3o7b2obo69b2obo10b2o7b3ob
3o7b2obo61b2o10b2o7bob2ob2o6bo65b2o10b2o7b3ob3o6bo73b2obo10b2o7b3ob3o
6bo63b2obo10b2o7b3ob3o7b2obo49b2obo10b2o7b3ob3o6bo47bo3bo5bo9b2o7bob2o
b2o7b2obo43bo3bo5bo9b2o7b3ob3o6bo$12b2obo5b2o5b2o4bo7bo6bob2o69b2obo5b
2o5b2o4bo7bo6bob2o69bob2o5b2o5b2o4bo7bo6bob2o62bo5b2o5b2o5b2ob2obo5bo
67bo5b2o5b2o4bo7bo4bo74bob2o5b2o5b2o4bo7bo4bo64bob2o5b2o5b2o4bo7bo6bob
2o49bob2o5b2o5b2o4bo7bo4bo47bo5bo5bo3b2o5b2o5b2ob2obo7bob2o42bo5bo5bo
3b2o5b2o4bo7bo4bo$16b2o4bo5bo6b3ob3o5b2o77b2o4bo5bo6b3ob3o11b2o65b2o4b
2o4bo5bo6b3ob3o5b2o4b2o59bo7bo5bo18b2o65bo7bo5bo6b3ob3o5b2o71b2o4b2o4b
o5bo6b3ob3o5b2o61b2o4b2o4bo5bo6b3ob3o5b2o57b2o4bo5bo6b3ob3o5b2o46b2o3b
2o4b2o4bo5bo18b2o46b2o3b2o4b2o4bo5bo6b3ob3o5b2o$17bo3bo7bo7bobo7bo79bo
3bo7bo7bobo13bo66bo5bo4bo7bo7bobo7bo5bo60b2o5bo7bo84b2o5bo7bo7bobo80bo
5bo4bo7bo7bobo70bo5bo4bo7bo7bobo7bo58bo4bo7bo7bobo60bo5bo4bo7bo17bo52b
o5bo4bo7bo7bobo$16bo4b2o5b2o7bobo8bo77bo4b2o5b2o7bobo14bo66bo5bo3b2o5b
2o7bobo8bo5bo57b2o7b2o5b2o17b2o63b2o7b2o5b2o7bobo7b2o72bo5bo3b2o5b2o7b
obo7b2o62bo5bo3b2o5b2o7bobo8bo58bo3b2o5b2o7bobo7b2o46b2o4bo5bo3b2o5b2o
18bo46b2o4bo5bo3b2o5b2o7bobo7b2o$16b2o4bo5bo9bo8b2o77b2o4bo5bo9bo14b2o
65b2o4b2o4bo5bo9bo8b2o4b2o58bo8bo5bo19bo64bo8bo5bo9bo9bo71b2o4b2o4bo5b
o9bo9bo61b2o4b2o4bo5bo9bo8b2o57b2o4bo5bo9bo9bo47bo3b2o4b2o4bo5bo18b2o
47bo3b2o4b2o4bo5bo9bo9bo$12bob2o5bo7bo19b2obo69bob2o5bo7bo19b2obo69b2o
bo5bo7bo19b2obo59bo8bo7bo17bo64bo8bo7bo17bo74b2obo5bo7bo17bo64b2obo5bo
7bo19b2obo49b2obo5bo7bo17bo47bo6b2obo5bo7bo19b2obo42bo6b2obo5bo7bo17bo
$12b2obo5b2o5b2o19bob2o69b2obo5b2o5b2o19bob2o69bob2o5b2o5b2o19bob2o59b
2o7b2o5b2o17b2o63b2o7b2o5b2o17b2o73bob2o5b2o5b2o17b2o63bob2o5b2o5b2o
19bob2o49bob2o5b2o5b2o17b2o46b2o5bob2o5b2o5b2o19bob2o42b2o5bob2o5b2o5b
2o17b2o7$758bo$757bobo$756bobobo$753bo2bo3bo84b2o88b2o$43b2o410bo296bo
bob2ob2ob2o81bo89bo$38b2obo2bo98b2o107b2o201b3o109b2o97b2o85bo2bo3bob
2o82bo89bo$38b2ob2obob2o96bo108bo104b2o98bo108b2o97b2o88bo3bo82b3obo
85b3obo$42bobob2o95bo108bo105b2o97b2o295bobobob6o76bo4bo84bo4bo$36b6ob
2o98b2o106bob3o309b6o93b6o84b2obobo3bo2bo74bobobobobo81bob5obo$36bo3bo
3bob2o98bo104bo4bo99b6o98b2o102bo3bo2bo91bo3bo2bo86bo2bo4bobo73bobo4bo
bo80bo6bobo$38b2o5b2o94b4obo101b2ob2o2b2o98bo4bobo200bobo4bobo89bobo4b
obo85b3o3bo2bo71b2obobo2b2o2bo77b2obo2bob2o2bo$37b2obo3bo3bo92bo106bob
o3bobob2o96b4o2bo95bobo103bo3bo2bo91bo3bo2bo89b6o72b2obobo3bobo78b2obo
3bobobo$40b2ob6o93bobob3o102b4obob2o98bo3bob2o90b3obo104b6o93b6o89bo
82b2obo2bo83b2obo2bo$37b2obobo98b2ob2o3bo105bo104bobo2bo89bo4bo2bo295b
2o2bo80bob2o86bob2o$37b2obob2ob2o96bo3b2o104bo105b2ob2o92b3obob2o103b
2o97b2o94bobo79bo89bo$40bo2bob2o96bob2o106b2o203bobo106b2o97b2o95bo79b
2o88b2o$40b2o102bobo312b2o7$845b2o$841b2obo2bo$840bobob2obo$39b2o710b
2o2b2o82bo2bo4bob2o2bo$38bob3o618b2o88bo3bobo81bobobobobo2b4o$36b3o4bo
617bobo84b2obobobobo2b2o76b2obobo4bo$35bo3b4o2b2o414b2o200bo84bo2bobo
3bobobo79bobo2b2ob3o$12bob2o6bo12b4obo2b2o2bob2o71b2obo17b2o4bo76b2o3b
2o3b2o17bo76b2obo96b2obo24bo2bo78b2obo21b2o66b2o5b2obo13b4ob2o59b2o5b
2obo13b2o3bo2bobo62b2obo6bo8bobo3bo4bo57b2o4b2o4bo12b2o$12b2obo5bobo
14bo3bo2bobobobo70bob2o18bo3bob2o75bo3b2o3b2o15b5o6b2o66bob2o96bob2o
19bo4bobobo77bob2o21b2o67bo5bob2o13bo4bo61bo5bob2o15b3ob2obobo61bob2o
5bobo8b2obob2o2b2o58bo5bo3bobo7b2obo2bo$16b2o4bo12b3o2bo2bobobobobo68b
2o4b2o15bo8bo73bo25bo5bob2o2bobo63b2o98b2o4b2o17b3o3bo2bo75b2o4b2o87bo
4b2o4b2o13b2obo2bo57bo4b2o4b2o13bo2bobo3bo59b2o4b2o4bo11b2obobo60bo5bo
5bo7bobob2obo$17bo16bo3b5obobob2ob2o67bo5bo16b2o3bo2bobo72b2o3b2o3b2o
13bob3o2bobobobo2bo2b2o58bo28b2o2bo66bo5bo21bo6bo74bo5bo18b6o4b2o58b2o
3bo5bo16bob3o57b2o3bo5bo17bob2ob2ob2o56bo5bo13b3o3bo3b3o57b2o4b2o11bo
2bo4bob2o2bo$16bo17bob2o4bobobo3bo2bo67bo5bo18bo3bo2bo77bobobobo13bo4b
obo4bobobo2bo60bo28b4o67bo5bo19b2o3bobo76bo5bo16bo3bo2bo2bobo64bo5bo
11b3o2bo66bo5bo15b2obo3bob2o57bo5bo12bo2b2o3b2o3bo75bobob5o2b4o$16b2o
17bo2b4ob2ob2ob2ob2o66b2o4b2o13b4obo4b2o73b2o5bobo12b2ob2o2b2o2b4o2bob
2obo59b2o26bo71b2o4b2o102b2o4b2o15bobo4bo3bo60b2o3b2o4b2o11bo4b6o55b2o
3b2o4b2o16bobo3bo6b2o51b2o4b2o15bob3o3bo2bo55b2o4b2o10b2obo6bo$14b2o
17bobobo2bo3bobo3bobo69b2obo15bo85bo4b2obo12bobo3bobo2b2ob2obobo2b2o
60b2obo20b6o70b2obo24b2o80b2obo18bo3bo2b3ob4o57bo3bo5bo13b4o3bo2bo3b2o
50bo3bo5bo17bobobob6o2bo53b2obo19bo3b5o57bo5bo13bo2bob2ob3o$15bo16bobo
bob2o5b2obobobo69bob2o16bobob3o77bo9b2o13b4ob2o2bo2bob2o2bo2bo59bob2o
19bo4bobo69bob2o106bob2o19b6o4bo2bo56bo5bo5bo10bobo3bo4bo3bobo49bo5bo
5bo17bobobo3bo2b2o54bob2o17bo2b2o62bo5bo14bo3bo3bo2bo$14bo17bobo3bobo
3bo2bobobo68b2o4b2o13b2ob2o3bo76b2o9bo17bo2bobo2bobo4b2o58b2o4b2o18b4o
2bo67b2o4b2o20bobo85b2o22bo2bo61b2o3b2o4b2o10b2o3bo3bo2b4o51b2o3b2o4b
2o19bo2bo4bo54b2o4b2o14bob2o4b2o58b2o4b2o14b2obo3bobobo$14b2o15b2ob2ob
2ob2ob4o2bo70bo5bo16bo3b2o87bo16bobob2obobo2b5o60bo5bo21bo3bob2o64bo5b
o19b3obo85bo20b4o2bo66bo5bo17b6o4bo55bo5bo20b3o3bo2b4o50bo5bo16bo2b4o
2bo81bob4obobo$12b2o17bo2bo3bobobo4b2obo70bo5bo15bob2o79b2o8b2o15b2o2b
o2bo2b2o4bo61bo5bo22bobo2bo65bo5bo17bo4bo2bo83bo18bo2bo2b2obob2o56b2o
4bo5bo21bo2b3o50b2o4bo5bo22b6o4bo50bo5bo16bobo2b4o57b2o4b2o16bo6bob2o$
13bo18b2ob2obobob5o3bo69b2o4b2o16bobo80bo9bo19bo2bo3bob3o61b2o4b2o21b
2ob2o66b2o4b2o18b3obob2o82b2o19bo5bob2obo57bo3b2o4b2o18b3obo55bo3b2o4b
2o21bo5bo2b3o49b2o4b2o15b2o2b2o62bo5bo15b2ob4obo$12bo20bobobobobo2bo2b
3o72b2obo100bo9bo21b2o4bobo65b2obo96b2obo22bobo81b2obo22b5o62bo6b2obo
20bo2bob2o52bo6b2obo24b5obo55b2obo19b3obo2b3o55bo5bo19bo2bobo$12b2o19b
obobobo2bo3bo75bob2o100b2o8b2o27bo66bob2o96bob2o23b2o81bob2o24bo64b2o
5bob2o23bo4bo50b2o5bob2o26bo2bob2o53bob2o16bobo4bobo2bo55b2o4b2o18bo2b
ob2o$34b2obo2b2o2bob4o618b2ob4o90bo4bo71b2obo5bobo83b2o$38b2o2b4o3bo
620bo93b2ob4o74bob2ob2ob2o$41bo4b3o621bobo93bo78bo2b2o4bo$42b3obo624b
2o93bobo77b2o2b4o$44b2o721b2o79bo2bo$848b2o6$567bo$40bo525bobo$40b3o
524bo2b2o91bo181b2o$43bo114bo412bo90bobo180bo$38b5o2bo110b5o192bob2o3b
2o102b2o99b6o90bobobo180bo$6b2o4b2obo21bo2bo2b3o70b2o3b2obo7bo22bo5bo
60b2obo6b2obo91b2o3b2obo6bo10b2obo4bo63b2o5bob2o28bo72b2o3bob2o6bo11bo
3bo2b3o61b2o5b2obo15bobob3o57b2o5b2obo6bo72b2o5b2obo17b3obob2o56b2obo
5b2o17b2o$7bo4bob2o20bobo3bo5bo68bo3bob2o6bobo10b2o10b3o2bo60bob2o6bob
2o92bo3bob2o5bobo7b2o3bob3o65bo5b2obo30bo71bo3b2obo5bobo10b2o4bo3bob2o
58bo5bob2o12b2obo6bo57bo5bob2o5bobo72bo5bob2o16bo4bobo57bob2o6bo13b2ob
o2bo$6bo9b2o19bo2bo2bo3bobo66bo8b2o5bo12bo13bob2o63b2o2b2o4b2o89bo8b2o
4bo7bo2b2obobo66bo4b2o30b4obo69bo8b2o4bo15bo2bo2bobobo56bo4b2o4b2o10bo
bobobobobo56bo4b2o4b2o4bo72bo4b2o4b2o13bobobobo3bo59b2o3bo13bobob2obo$
6b2o8bo21b5obobobobo65b2o7bo19bob2o9b2o3bo62bo3bo5bo90b2o7bo14bobo2bo
68b2o4bo23bo5bo4bo70b2o8bo16b7obobo3bo2bo53b2o3bo5bo13bo2b2ob2o57b2o3b
o5bo78b2o3bo5bo14bobo4b4o59bo4b2o11bo2bo4bob2o2bo$17bo16b2o6bobobo3bo
75bo14b2o3bo10bo2bobo64bo3bo5bo99bo12b2o2b2o74bo24b3o3bo2b2o80bo16bo6b
obobo3bobobo58bo5bo11bobobo67bo5bo83bo5bo10b2obobo2b2o4b2o58bo16bobob
5o2b4o$6b2o8b2o17bo2b4ob2ob2ob2ob2o62b2o7b2o14bobo6bo5b2ob2ob2o62b2o2b
2o4b2o89b2o7b2o14bobobo2b2o2bo61b2o3b2o26bo6bo71b2o7b2o15bo2b4ob2ob2ob
2o2bo53b2o3b2o4b2o12bo2b7o55b2o3b2o4b2o77b2o3b2o4b2o10b2obobo3bob2o3bo
56b2o3b2o10b2obo6bo$7bo4b2obo17bobobo2bo3bobo3bobo64bo3b2obo18bo7bo4bo
65b2obo4bo5bo91bo3b2obo16bo2bo4b4o62bo5bob2o21b2o3bo3b2o70bo5b2o14b2ob
obo2bo3bobo3bo57bo5b2obo15b2o4bo2bo55bo5b2obo80bo5b2obo16b2obob3ob2o2b
o51b2obo6bo13bo2bob2ob2ob2o$6bo5bob2o16bobobob2o5b2obobobo63bo4bob2o
18b2o3bobo5b2ob2ob2o58bob2o5bo5bo89bo4bob2o17b2o3bo66bo6b2obo28b2ob3o
67bo7bo14bobobob2o5b2obobobo54bo6bob2o17b2o4b2o54bo6bob2o79bo6bob2o18b
2obo5b2o52bob2o5bo14bo3bobobob2obo$6b2o2b2o20bobo3bobo3bo2bobobo64b2o
7b2o19bo10bo2bobo57b2o8b2o4b2o89b2o7b2o17b7o63b2o9b2o22b2o3bo4bo66b2o
5bo17bo3bobo3bo2bobob2o54b2o3b2o4b2o15bo3bo3b2o52b2o9b2o77b2o3b2o4b2o
12b3o3bo2b4o52b2o9b2o14b2obob2o6bo$10bo20b2ob2ob2ob2ob4o2bo75bo15b4obo
11b2o3bo56bo9bo5bo99bo18bo4bobo74bo27bob3o74b2o13bo2b2ob2ob2ob4o2bo62b
o5bo17b7o2bo62bo83bo5bo13bo2b3o7b2o50bo28bobo2b2ob3o$6b2o3bo22bo3bobob
o6b2o65b2o8bo14bo17bob2o58bo9bo5bo89b2o8bo18b4o2bo62b2o9bo21bobo5b2o
69b2o3b2o14bobobo3bobobo6bo57b2o4bo5bo21bo2bobo50b2o10bo77b2o4bo5bo15b
o2b4ob2o2bo50bo9b2o16bobo3bobo$7bo2b2o22bobobobob5o70bo7b2o15bobob3o7b
3o2bo58b2o8b2o4b2o90bo7b2o20bo3bob2o60bo9b2o18b3obo77bo4bo15bo2bo3bobo
b7o59bo3b2o4b2o18b3o4bo52bo9b2o78bo3b2o4b2o17bo4bobobo50b2o10bo15b2obo
bo$6bo5b2obo19bobo3bo2bo2bo68bo4b2obo16b2ob2o3bo5bo5bo60b2obo6b2obo91b
o4b2obo24bobo2bo59bo6bob2o19bo4bo2bo73bo4bo19bobobo2bo2bo62bo6b2obo19b
obobobobobo49bo6b2obo79bo6b2obo18b2ob2o3bob2o51b2obo5bo20bobo$6b2o4bob
2o20bo5bo3bobo67b2o3bob2o18bo3b2o7b5o61bob2o6bob2o91b2o3bob2o23b2ob2o
61b2o5b2obo20b3obob2o73b2o3b2o19b2obo3bo4b2o58b2o5bob2o19bo3b2obob2o
49b2o5bob2o79b2o5bob2o21bo2bobo54bob2o5b2o20b2o2bo$39b3o2bo2bo95bob2o
11bo299bobo106b3o2bo3bo89b3obobo174bob2obo87b3o$39bo2b5o97bobo312b2o
109b6o92bobobo175bo2bo86b2o$41bo527bo99bobo177b2o86bo2bo$42b3o524b2o2b
o96bo267b2o$44bo527bobo$573bo5$754b2o$39bo713bo2bo$38bobo713b2o$39bo2b
2o707b3o$43bo311b2o10bo90b2o2b2o287bo2b2o$37b6o312bobo5bob3o90bo3b2o
290bobo$7b2o3bob2o6bo13bo3bo2b3o69b2o5b2obo96b2obo6b2obo6bo79b2obo6b2o
bo21bo2bo2b2o9bo47b2obo6b2obo23bo72b2obo6bob2o6bo79b2obo6b2obo76b2obo
6b2obo12b2o5bobo54b2obo6b2obo6bo74b2obo5b2o4bo$8bo3b2obo5bobo12b2o4bo
3bob2o66bo5bob2o16b2o6bo71bob2o6bob2o5bobo78bob2o6bob2o17b4o3b3o3b2o4b
3o47bob2o6bob2o22b2o2b4o66bob2o6b2obo5bobo78bob2o6bob2o76bob2o6bob2o
12bo2bobo3bo54bob2o6bob2o5bobo73bob2o6bo3bobo$7bo8b2o4bo17bo2bo2bobobo
64bo4b2o4b2o15bo5b2o75b2o2b2o10bo83b2o2b2o4b2o14bo4b3o3b3obo3bo5bob2o
45b2o8b2o15bo2bo2bobo4bo69b2o2b2o10bo83b2o2b2o84b2o2b2o4b2o11b3ob2o2bo
bo56b2o2b2o4b2o4bo78b2o3bo5bo$7b2o8bo18b7obobo3bo2bo61b2o3bo5bo15bo83b
o3bo95bo3bo5bo12bo2bobobo4b2o2bo6bo4b2obo45bo9bo16b5o3bob4o69bo4bo94bo
3bo85bo3bo5bo18b2obobo55bo3bo5bo84bo4b2o$16bo18bo6bobobo3bobobo66bo5bo
14b2o3b3o2bobo72bo3bo95bo3bo5bo11b3o2bobob3o2b3o4bobo2b2o50bo9bo22bo2b
o3b2o68bo2bo96bo3bo85bo3bo5bo13b2obobo3bo56bo3bo5bo84bo$7b2o7b2o17bo2b
4ob2ob2ob2o2bo61b2o3b2o4b2o17bo3bob4o71b2o2b2o94b2o2b2o4b2o14b2o2bobo
2bobob2o5bobo3b2o46b2o8b2o17bo4bo2bob2o2bo66b2o2b2o94b2o2b2o84b2o2b2o
4b2o13bob2ob2ob2ob2o52b2o2b2o4b2o83b2o3b2o$8bo5b2o16b2obobo2bo3bobo3bo
65bo5b2obo14b4obo7b2o67b2obo6b2obo86b2obo4bo5bo14bo2bobo4bo2b2o2b2obob
ob3ob3o40b2obo6b2obo19b3o6bobob2o62b2obo6bob2o86b2obo6b2obo76b2obo6b2o
bo20bo3bob2o48b2obo6b2obo81b2obo6bo$7bo7bo16bobobob2o5b2obobobo62bo6bo
b2o14bo81bob2o6bob2o86bob2o5bo5bo14b3obo3b2o2bo4b2o2bo8bo39bob2o6bob2o
22bo3bobobo65bob2o6b2obo86bob2o6bob2o76bob2o6bob2o20bo3bo51bob2o6bob2o
81bob2o5bo$7b2o5bo19bo3bobo3bo2bobob2o62b2o3b2o4b2o13bobob3o72b2o8b2o
4b2o82b2o8b2o4b2o17bo2bo5bo2bob2ob2o2b7o37b2o8b2o25b2o3bo3bo63b2o14b2o
82b2o8b2o4b2o72b2o8b2o4b2o16bobobob6o44b2o8b2o4b2o83b2o3b2o$14b2o15bo
2b2ob2ob2ob4o2bo70bo5bo13b2ob2o3bo71bo9bo5bo83bo9bo5bo15b2o2b6o3b2o3bo
2b2ob2o42bo9bo33b2o64bo16bo82bo9bo5bo73bo9bo5bo17b2obobo3bo2bo43bo9bo
5bo84bo$7b2o3b2o16bobobo3bobobo6bo65b2o4bo5bo14bo3b2o73bo9bo5bo83bo9bo
5bo14bo7bobo4bobo2b2o4b3o40bo9bo28b2o69bo14bo84bo9bo5bo73bo9bo5bo19bo
2bo4bo45bo9bo5bo84bo3b2o$8bo4bo17bo2bo3bobob7o67bo3b2o4b2o14bob2o74b2o
8b2o4b2o82b2o8b2o4b2o15b7o2bo2b3o3b2o4bobobo38b2o8b2o98b2o14b2o82b2o8b
2o4b2o72b2o8b2o4b2o19b3o3bo2b3o41b2o8b2o4b2o83b2o4bo$7bo4bo21bobobo2bo
2bo70bo6b2obo17bobo76b2obo6b2obo86b2obo6b2obo19bo2bo3bobo2bobo5b3obo2b
o39b2obo6b2obo22bobo71b2obo6bob2o86b2obo6b2obo76b2obo6b2obo24b6o3bo3bo
38b2obo6b2obo81b2obo5bo$7b2o3b2o21b2obo3bo4b2o66b2o5bob2o96bob2o6bob2o
86bob2o6bob2o24bobob3o2b6o3bob2o40bob2o6bob2o20b3obo71bob2o6b2obo86bob
2o6bob2o76bob2o6bob2o23bo5bo2bobobobo37bob2o6bob2o81bob2o5b2o$39b3o2bo
3bo310b2obo4b2o7b2o2bo74bo4bo2bo295b2o2b2obo2b2obobo$42b6o314bo3bo2bo
2b4o4bobo73b3obob2o299bo2b2o3bobo$41bo320b2o3b2o3bo2bo5b2o75bobo303bo
6bo$41b2o2bo413b2o302b2ob2o2b2o$44bobo719bo$45bo720bobo$767b2o9$266b2o
91bo108bo6bo$2b2obo6b2obo6bo91b2obo4b2obo6bo89b2obo6b2obo16b2o11bobo2b
2o3b2o47b2obo4bob2o22bobo105b3o4b3o58b2obo4b2obo87b2obo4b2o3b2o76b2obo
4bob2o6bo69b2obo6b2obo6bo73b2o3b2o3b2o4bo$2bob2o6bob2o5bobo90bob2o4bob
2o5bobo88bob2o6bob2o17bo5b2o4bobobo2bobo2bo46bob2o4b2obo21bobobo103bo
6bo61bob2o4bob2o87bob2o4b2o3b2o76bob2o4b2obo5bobo68bob2o6bob2o5bobo72b
2o3b2o4bo3bobo$6b2o8b2o4bo95b2o6b2o4bo93b2o8b2o14bo5bobo3b2obobo2bob2o
2bo49b2o6b2o19bo3bo104bo6bo64b2o6b2o89b2o89b2o6b2o4bo73b2o2b2o4b2o4bo
83bo5bo$6bo9bo101bo7bo99bo9bo14bob3o2bo2b2o3bob2ob2o3b2o50bo8bo13b2o2b
2ob3o101bo3bo2bo3bo64bo7bo90bo3b2o3b2o80bo8bo78bo3bo5bo79b2o3b2o3b2o$
7bo9bo101bo7bo99bo9bo13bo4bob2obob2o2bob2o2b2o54bo6bo14bo2bobobo180bo
7bo90bo2bobobobo81bo6bo80bo3bo5bo78bobobobo$6b2o8b2o100b2o6b2o98b2o8b
2o10b2ob2o2b2obo2bobob3o3bobob3o50b2o6b2o10b2obob2obo105bobo4bobo66b2o
6b2o89b2o4bobo82b2o6b2o78b2o2b2o4b2o80bobo5b2o$2b2obo6b2obo98b2obo4b2o
bo96b2obo6b2obo12bobo3bobo2bobobo2bo3b3o2bo2bo45b2obo6b2o12bo2bo2bobob
3o2b2o98bo6bo63b2obo4b2obo87b2obo5b2obo78b2obo6b2o76b2obo6b2obo81b2obo
6bo$2bob2o6bob2o98bob2o4bob2o96bob2o6bob2o15b4ob2o5b2ob3o5bobobo45bob
2o7bo14bobo3b2obobo2bo169bob2o4bob2o87bob2o9b2o76bob2o7bo76bob2o6bob2o
85b2o3bo$2o8b2o100b2o12b2o98b2o2b2o23bo3bo4bobo2b4o3bob2o42b2o10bo16bo
3bo4b4o174b2o6b2o89b2o8bo80b2o4bo81b2o2b2o4b2o84bo3b2o$o9bo101bo13bo
99bo3bo20b3o2b2o4bobob3o3b4obo44bo11b2o18bo3bo95bo24bo58bo7bo90bo8bo
81bo5b2o80bo3bo5bo84bo$bo9bo101bo13bo99bo3bo17bo2bo4bobo4bobo3bo6bo45b
o8b2o20b8o60b2obo6b2obo6bo10bobo3bobo10bobo3bobo58bo7bo90bo7b2o81bo2b
2o83bo3bo5bo83b2o3b2o$2o8b2o100b2o12b2o98b2o2b2o17b2o3bo2bob4obo2b4ob
2o3b2o43b2o9bo26bobo59bob2o6bob2o5bobo10bo4bo2bo8bo2bo4bo58b2o6b2o89b
2o8bo80b2o3bo82b2o2b2o4b2o84bo4bo$2b2obo6b2obo98b2obo4b2obo96b2obo6b2o
bo17b2o3bo4bob2o4bobo50b2obo4bo23b4o2bo63b2o2b2o4b2o4bo16bobo10bobo59b
2obo4b2obo87b2obo9bo77b2obo4bo79b2obo6b2obo85bo4bo$2bob2o6bob2o98bob2o
4bob2o96bob2o6bob2o24bo2bo2bo2bo54bob2o4b2o21bo2bo3bob2o60bo3bo5bo97bo
b2o4bob2o87bob2o9b2o76bob2o4b2o78bob2o6bob2o85b2o3b2o$259b2o3b2o3b2o
84b2o3bobo2bo61bo3bo5bo$359b2ob2o62b2o2b2o4b2o$422b2obo6b2obo23bobo10b
obo$422bob2o6bob2o18bo4bo2bo8bo2bo4bo$420b2o14b2o15bobo3bobo10bobo3bob
o$420bo15bo17bo24bo$421bo15bo$420b2o14b2o$422b2obo6b2obo19bo7bo6bo$37b
o384bob2o6bob2o19b3o4bobo4bobo$35b5obo5b2o4b2o403bo$29bob2obo5b2o4bo2b
o3bo403b2o3bo3bo2bo3bo$29b2obobo2b2o3b2o2b2obo4bo411bo6bo$34bo4b3o2bob
o2b2o2b2o405b2o3bo6bo$33b2obo6bo2bobo2bo414b3o4b3o$32bobo2b6o3b2ob6o
96bo306bobo7bo6bo$4b2obo4bob2o14b3ob3o3bo2b3o3bo5bo56b2obo6b2obo24bobo
69b2obo6b2obo6bo80b2obo4b2o3b2o118b3obo75b2o3b2o3b2o4bo78b2o3b2o4b2obo
75b2o3b2o4b2obo75b2o3b2o4b2obo$4bob2o4b2obo13bo3bo3bo4bo3b2obobo3bo56b
ob2o6bob2o16b2o2b2obo2bo69bob2o6bob2o5bobo79bob2o4b2o3b2o117bo4bo2bo
72b2o3b2o4bo3bobo77b2o3b2o4bob2o75b2o3b2o4bob2o75b2o3b2o4bob2o$8b2o6b
2o11bobo2bobo3bo2bo2bobobo2bob2o59b2o2b2o4b2o14bo2bobobobob2o71b2o2b2o
4b2o4bo84b2o127b3obob2o82bo5bo93b2o82b2o88b2o4b2o$8bo8bo12b5ob7obobo3b
o2bobo60bo3bo5bo17b2o3bobobobo70bo3bo5bo90bo3b2o3b2o120bobo75b2o3b2o3b
2o83b2o3b2o8bo74b2o3b2o2bo80b2o3b2o2bo5bo$9bo6bo18bo6bobobo3bobo2bo61b
o3bo5bo17bo6bo2bo71bo3bo5bo90bo2bobobobo121b2o75bobobobo88bobobobo9bo
73bobobobo3bo79bobobobo3bo5bo$8b2o6b2o14bo2bo2b4ob2ob2ob2obobo61b2o2b
2o4b2o15bo9bob2o69b2o2b2o4b2o89b2o4bobo202bobo5b2o85bobo10b2o75bobo4b
2o81bobo4b2o4b2o$4b2obo6b2o15bobobobo2bo3bobo3bobob2o56b2obo6b2obo17b
2o3bo2b3obo66b2obo6b2obo87b2obo5b2obo201b2obo6bo84b2obo6b2obo76b2obo6b
2obo76b2obo6b2obo$4bob2o7bo15bo2bobob2o5b2obobo2bo58bob2o6bob2o20bo2bo
4bo2bo64bob2o6bob2o87bob2o9b2o203b2o3bo89b2o4bob2o80b2o4bob2o80b2o4bob
2o$2b2o10bo14b2obobo3bobo3bo2bobobobo56b2o8b2o4b2o13b4obo4b2obob2o68b
2o2b2o4b2o89b2o8bo204bo3b2o89bo2b2o85bo2b2o4b2o79bo2b2o4b2o$2bo11b2o
14bobob2ob2ob2ob4o2bo2bo57bo9bo5bo14bo10bobo71bo3bo5bo90bo8bo204bo94bo
3bo85bo3bo5bo79bo3bo5bo$3bo8b2o15bo2bobo3bobobo6bo61bo9bo5bo14bobob3o
3bobo72bo3bo5bo90bo7b2o203b2o3b2o88b2o3bo84b2o3bo5bo78b2o3bo5bo$2b2o9b
o15bobo2bo3bobob7ob5o55b2o8b2o4b2o13b2ob2o3bo3bo72b2o2b2o4b2o89b2o8bo
204bo4bo89bo2b2o85bo2b2o4b2o79bo2b2o4b2o$4b2obo4bo15b2obo2bobobo2bo2bo
3bobo2bobo56b2obo6b2obo17bo3b2o73b2obo6b2obo87b2obo9bo204bo4bo89bo5b2o
bo80bo5b2obo80bo5b2obo$4bob2o4b2o15bo3bobob2o3bo4bo3bo3bo56bob2o6bob2o
17bob2o75bob2o6bob2o87bob2o9b2o203b2o3b2o88b2o4bob2o80b2o4bob2o80b2o4b
ob2o$29bo5bo3b3o2bo3b3ob3o89bobo$30b6ob2o3b6o2bobo$33bo2bobo2bo6bob2o$
30b2o2b2o2bobo2b3o4bo$30bo4bob2o2b2o3b2o2bobob2o427b2o$31bo3bo2bo4b2o
5bob2obo401b2o23bo2bo$30b2o4b2o5bob5o372b2obo6b2obo22bo24bobo$47bo374b
ob2o6bob2o22bobo18b2o3bo$426b2o2b2o27b2o3b2o5b2o7bob2o$426bo3bo24bo8b
2o2bo3b2o8bo$427bo3bo23b3o12b3o9bo$426b2o2b2o26bo3bo4bo2bo$422b2obo6b
2obo21b2o3bo3b3o$422bob2o6bob2o48b3o3bo$426b2o2b2o4b2o22b2o20bo2bo4bo$
150b2o274bo3bo5bo33bo9b3o$2b2obo6b2obo6bo91b2obo4b2obo24bobo69b2o3b2o
2b2o3b2o88b2o3b2o3b2o4bo84bo3bo5bo20bobo9bo8b2o3bo2b2o42b2o3b2o4b2obo
6bo79bob2o6b2obo$2bob2o6bob2o5bobo90bob2o4bob2o26bo69b2o3b2o2b2o3b2o
88b2o3b2o4bo3bobo82b2o2b2o4b2o18b3obo8b2obo7b2o5b2o3b2o37b2o3b2o4bob2o
5bobo78b2obo6bob2o6bo$6b2o8b2o4bo95b2o6b2o20b4ob2o181bo5bo79b2obo6b2ob
o19bo4bo2bo4bo3b2o18bobo45b2o4b2o4bo77b2o8b2o4b2o3bobo$6bo9bo101bo7bo
16b2o2bo3bobobo66b2o3b2o2b2o3b2o88b2o3b2o3b2o84bob2o6bob2o20b3obob2o3b
obo24bo36b2o3b2o2bo5bo84bo8bo5bo5bo$7bo9bo101bo7bo16bo2bob2o2bobo66bob
obobo2bobobobo88bobobobo125bobo6bo2bo23b2o35bobobobo3bo5bo82bo10bo5bo$
6b2o8b2o100b2o6b2o15bo7b3obob2o65bobo6bobo92bobo5b2o121b2o7b2o63bobo4b
2o4b2o82b2o8b2o4b2o$2b2obo6b2obo98b2obo4b2obo17b2o3b2o5bob2o64b2obo5b
2obo91b2obo6bo194b2obo6b2obo86bob2o4bo5bo$2bob2o6bob2o98bob2o4bob2o20b
o6b2o72b2o7b2o93b2o3bo199b2o4bob2o86b2obo5bo5bo$6b2o2b2o106b2o6b2o13b
4obo4b2o75bo8bo94bo3b2o199bo8b2o88b2o2b2o4b2o$6bo3bo107bo7bo14bo12b3ob
o68bo8bo94bo204bo9bo90bo2bo5bo$7bo3bo107bo7bo14bobob3o6bob2o68b2o7b2o
93b2o3b2o198b2o9bo88bo4bo5bo$6b2o2b2o106b2o6b2o13b2ob2o3bo3bo74bo8bo
94bo4bo199bo8b2o88b2o2b2o4b2o$2b2obo6b2obo98b2obo4b2obo17bo3b2o4b2o72b
o8bo94bo4bo199bo5b2obo86bob2o6b2obo$2bob2o6bob2o98bob2o4bob2o17bob2o
80b2o7b2o93b2o3b2o198b2o4bob2o86b2obo6bob2o$144bobo15$349b2o15b2o$4b2o
bo4bob2o6bo89b2obo6b2obo96bob2o6b2obo6bo78b2o3b2o4b2obo13bobo13bobo55b
2o3b2o2b2obo6bo$4bob2o4b2obo5bobo88bob2o6bob2o96b2obo6bob2o5bobo77b2o
3b2o4bob2o15bo13bo57b2o3b2o2bob2o5bobo$8b2o6b2o4bo93b2o2b2o4b2o92b2o8b
2o4b2o4bo87b2o4b2o13b3o9b3o70b2o4bo$8bo8bo98bo3bo5bo94bo8bo5bo84b2o3b
2o2bo5bo18bo5bo61b2o3b2o6bo$9bo6bo100bo3bo5bo92bo10bo5bo83bobobobo3bo
5bo13b5o5b5o57bobobobo7bo$8b2o6b2o98b2o2b2o4b2o92b2o8b2o4b2o85bobo4b2o
4b2o13bo4bo3bo4bo59bobo8b2o$4b2obo6b2o96b2obo6b2obo96bob2o4bo5bo85b2ob
o6b2obo17b4o3b5o59b2obo4b2obo$4bob2o7bo96bob2o6bob2o96b2obo5bo5bo88b2o
4bob2o16b2o4bo5bobo61b2o2bob2o$8b2o4bo101b2o2b2o4b2o98b2o2b2o4b2o89bo
2b2o4b2o18b6o3b2o62bo6b2o$8bo5b2o100bo3bo5bo100bo2bo5bo89bo3bo5bo18bo
4bobo65bo7bo$9bo2b2o103bo3bo5bo98bo4bo5bo88b2o3bo5bo18b4o2bo65b2o7bo$
8b2o3bo102b2o2b2o4b2o98b2o2b2o4b2o89bo2b2o4b2o20bo3bob2o63bo6b2o$4b2ob
o4bo99b2obo6b2obo96bob2o6b2obo90bo5b2obo24bobo2bo62bo3b2obo$4bob2o4b2o
98bob2o6bob2o96b2obo6bob2o90b2o4bob2o23b2ob2o64b2o2bob2o12$458bo2bo$
456b3o2b3o$455bo3b2o3bo$454bo2bobo2bobo$454bob2ob5o$b2o3b2o4b2obo97b2o
3b2o2b2obo6bo320b2o2bobo$b2o3b2o4bob2o97b2o3b2o2bob2o5bobo318bo2bo2b6o
$16b2o108b2o4bo319bobo7bobo$b2o3b2o8bo96b2o3b2o6bo324b2ob2o4bo3bo$bobo
bobo9bo95bobobobo7bo323bo3bo2b2ob3o$3bobo10b2o97bobo8b2o324b3o4bobo$2b
2obo6b2obo98b2obo4b2obo328bob2o$6b2o4bob2o102b2o2bob2o329b6o$7bo2b2o
107bo6b2o328b3o$6bo3bo107bo7bo$6b2o3bo106b2o7bo294bob2o6b2obo27bo$7bo
2b2o107bo6b2o294b2obo6bob2o25bo3bo$6bo5b2obo102bo3b2obo294b2o8b2o4b2o
22bo$6b2o4bob2o102b2o2bob2o295bo8bo5bo11b2ob2o6bo5bo$420bo10bo5bo10bo
10bo3b2o$420b2o8b2o4b2o11b2o2bo5bo3bo11b2o$422bob2o4bo5bo13b3o7bo14bo$
422b2obo5bo5bo12b3o8b3o13bo$426b2o2b2o4b2o11b2o2bo7bo4b2o5b4obo$427bo
2bo5bo11bo11b2o4b2o4bo4bo$426bo4bo5bo10b2ob2o7b2o4bo5bo2b2o$426b2o2b2o
4b2o26b3o9bo$422bob2o6b2obo31bo5bo3b2ob2o$422b2obo6bob2o28bo3bo6b2ob2o
bo$455bo7b2o3bo7bo$455b3o4bo5bo7bo$142b6ob2o307bo8bo7b2obo2bo$142b6ob
2o306b2o3bo3bo8bo2b4o2bo$149b2o313bo12bo4b3o$142b2o5b2o309b2o14b2ob2o$
3b2o3b2o2bob2o6bo88b2o3b2o4b2obo16b2o5b2o318b3o7bob2o$3b2o3b2o2b2obo5b
obo87b2o3b2o4bob2o16b2o5b2o307bobo6b4o5b3o4bo$16b2o4bo97b2o4b2o14b2o
312b3obo6bo4b2ob2obob2o2bo$3b2o3b2o7bo93b2o3b2o2bo5bo15b2ob6o304bo4bo
2bo4bobob2obobobo2bobo$3bobobobo6bo94bobobobo3bo5bo14b2ob6o305b3obob2o
3b2ob2obobobo2bobob2o$5bobo8b2o95bobo4b2o4b2o27bo302bobo6b2o5b2obo4bo$
4b2obo6b2o96b2obo6b2obo28bob2o301b2o6bo10b3obo$8b2o5bo100b2o4bob2o15b
2o15bo309bob2o9bo$9bo4bo102bo2b2o4b2o13bobo10bo2bobo306bobobo2bo6bo$8b
o5b2o100bo3bo5bo16bo6b3o3bo2bo306b2o4b2o6b2o$8b2o2b2o102b2o3bo5bo15b2o
3b3o6b2o$9bo3bo103bo2b2o4b2o18bo3b3o$8bo3bo103bo5b2obo15b4obo$8b2o2b2o
102b2o4bob2o15bo$142bobob3o$141b2ob2o3bo$143bo3b2o$143bob2o$144bobo96$
274b2o$274bo$276bo$272b5o$271bo$267b2obob5o$13b2o48b2o49bo36b2o114b2ob
o6bobo$12bo2bo46bo2bo47bobo35bobo66b2o48bobob3ob2o$11bo4bo44bo4bo46bob
o37bo5b2o58bo2bo47bo3bobo38b2o$10bo6bo42bo6bo42b2obob2o36b2o2bo61b3obo
47b2obobo38bo$10bo6bo42bo6bo42bob2o3bo33b2o4b3o2bo54b2o4bo49bobo41bo$
11bo4bo44bo4bo47bob2o32bo2b6obobo50b2obobob3o50bo39b5o$12bo2bo46bo2bo
48bo2bo33b2o6b2o53bobobobo51b2o38bo$13b2o48b2o50b3o35b4o2b3o49b3o2bob
2o88b2obob5o$118b4o31bo3bobo50bo3b2ob2o89b2obobobo2bobo$115b2obobobo
31bo2bobo49bo2bo3bo94bobo2b2ob2o$115b2obo3b3o30bobobobo46bob7o61bo32bo
bo3bo$119b2o4bo30b2obob3o44bo6bo61bobo32b2obobo$121b4o33bobo3bo44b3ob
2o61bobobo33bobo$121bo36bobo2b2o46bobo62bo3bo33bo$122bo36bo53bo59b2ob
2ob2ob2o29b2o$121b2o90b2o58b2obo3bob2o$276bo3bo$276bobobo$277bobo$278b
o3$59b2o$59b2o4$63b2o$57b2o4bo$52b2o2b2obo6bo153b2o$52b2obo3bo5b2o47bo
6b2o38b2o56bo2bo$56b3o54bobo5bo39bobob2o52b3obo$57bo19b2o34bobo3bobo
41bobo51b2o4bo$70b2o5b2o31b2obob2o2b2o4bo36bo2bo47b2obobob3o6b2o$63b2o
5b2o38bob2o3bo5b3o29b2ob2obobob2o47bobobobo8b2o82bo$9bo8bo43bo2bo11bo
36bob2o4bo33bobo3b2o3bo43b3o2bob2o4b3o86b3o$9b3o4b3o34b2o6b2ob2o10bobo
35bo2bo4b2o32bobo5b3o43bo3b2ob2o53b2o2bo39bo$12bo2bo37b2o7bobo10b2ob2o
35b3o39bob5o45bo2bo3bo14bo39bob4o38bo3bo$11b2o2b2o46bo12bo2bo38b4o38bo
2bob2o41bob7o2b3o3b3o2bobo38bo7b2o30b2obo3bobo$5b2o14b2o54b2o5b2o29b2o
bobobo32b5o2b2obobo40bo6bo2bo3bobo3bo2bo37b2ob5o2bo2bo27bobob2o3b2o$6b
o6b2o6bo41b2o19b2o29b2obo3b3o29bo4bo3bo3bo41b3ob2o3bo3bobo3bo41bo6bobo
b2o26bo2bo4bo3b2o$6bobo3bo2bo3bobo27b2o11bo2bo5bo47b2o4bo29b3obob2ob3o
44bobo4bo3bobo3bo41bobob3obobo28bobob8o2bo$7b2o2bo4bo2b2o29bo4b2o4bo4b
o3b3o48b4o32bo6bo4b2o3bo38bo5b3o3b3o41b2o3bobo3bo27b2obobobo6b2o$10bo
6bo29bo6bob2o2bo6bobo3bo5b2o40bo46bo2bobobo2bo30bo3b2o22bo30bo2b2obob
2ob2ob2o27bobo2b3o$10bo6bo29b2o5bo3bobo6bo2b2obo6bo41bo35bo4bo4bob2obo
b4o29bobo25bobo29b2o3b2obo3bob2o27bobo3bobo$7b2o2bo4bo2b2o34b3o3bo4bo
4b2o4bo43b2o28b2o7b2o5b2o4bo30b2o3bo27bo3b2o27b2o4bo3bo31b2obo3bo$6bob
o3bo2bo3bobo34bo5bo2bo11b2o72bobo11bo3b4ob2ob2o25b2o35b2o27bo5bobobo
33bob3o$6bo6b2o6bo20b2o19b2o88bo5b2o7bobobobobo2bo30b3o7b2o3b2o7b3o34b
o5bobo34bobo$5b2o14b2o19b2o5b2o102b2o2bo6bo3bo3bo2bo2b2o29bo3bo6b2o3b
2o6bo3bo32b2o6bo36bo$11b2o2b2o31bo2bo12bo86b2o4b3o2bobo6b2o33bo2bo3bo
4b2o7b2o4bo3bo2bo$12bo2bo32b2ob2o10bobo7b2o75bo2b6obobo5b3obo2bo30bo2b
o3bo4b2o7b2o4bo3bo2bo$9b3o4b3o30bobo10bo3bo6b2o76b2o6b2o4bo4bo2b3o30bo
3b3o21b3o3bo$9bo8bo31bo12bobo87b4o2b3o5b2obobo$153bo3bobo8bobo2b3o30bo
3b3o21b3o3bo$49b2o12b3o88bo2bobo8bobo4bo30bo2bo3bo4b2o7b2o4bo3bo2bo$
49b2o12b3o89bobobobo7bo36bo2bo3bo4b2o7b2o4bo3bo2bo$156b2obob3o45bo3bo
6b2o3b2o6bo3bo$158bobo3bo45b3o7b2o3b2o7b3o$158bobo2b2o39b2o35b2o$159bo
44b2o3bo27bo3b2o$208bobo25bobo$209bo27bo$219b3o3b3o$218bo3bobo3bo$63b
3o152bo3bobo3bo$63b3o149bo2bo3bobo3bo2bo$214bobo2b3o3b3o2bobo$63bobo
149bo15bo$62bo3bo$63bobo154b3ob3o$63bobo150b2o11b2o$216b2o11b2o2$66b2o
2bo$62b2o2b2o3bo$62b2o7bo$67b4o!
-Matthias Merzenich

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Re: Suggested patterns for Golly

Post by muzik » December 20th, 2021, 12:21 pm

I'm not sure how to fix this myself, but the attribution on unit fraction orthogonal spaceships needs updating.

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Re: Suggested patterns for Golly

Post by dvgrn » December 20th, 2021, 12:46 pm

muzik wrote:
December 20th, 2021, 12:21 pm
I'm not sure how to fix this myself, but the attribution on unit fraction orthogonal spaceships needs updating.
Um. That's really extraordinarily vague.

A little more actual specific detail, like which of the twelve lines of comments needs an update, might allow us to continue the guessing game by figuring out which words in those line(s) are the issue. But I'd rather you just explained what the problem is. I don't see anything wrong with the comments, but that's not surprising since I wrote them.

I now remember that there's an iOS limitation with patterns like this one that are in the collection as ZIP files. But it doesn't sound like that's what you're talking about.

Other than that, we're pretty much still where we were in 2018: I don't know what the comments should be, and apparently no one else does either.

In these sorts of circumstances, the comments have a tendency to stay exactly the way they are.

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Re: Suggested patterns for Golly

Post by muzik » December 21st, 2021, 11:54 am

dvgrn wrote:
December 20th, 2021, 12:46 pm
muzik wrote:
December 20th, 2021, 12:21 pm
I'm not sure how to fix this myself, but the attribution on unit fraction orthogonal spaceships needs updating.
Um. That's really extraordinarily vague.

A little more actual specific detail, like which of the twelve lines of comments needs an update, might allow us to continue the guessing game by figuring out which words in those line(s) are the issue. But I'd rather you just explained what the problem is. I don't see anything wrong with the comments, but that's not surprising since I wrote them.
Given that full names are used on most to all patterns in OCA where they apply (refer to the five margolus media example), wouldn't it also have to apply to unit fraction orthogonal spaceships as well?

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Re: Suggested patterns for Golly

Post by muzik » December 21st, 2021, 12:00 pm

Here are other examples and potential ideas for patterns that could make it into the collections, not all of which are my own:

- Dual-RRO interaction and gun: Related to a rule I found. An unloopable RRO reacts with a copy of itself to become a higher-period oscillators, and both of these interact with a pseudo still life to form two periods of glider guns. Way more interesting than the horiship guns we currently have in the collection.

Code: Select all

x = 63, y = 105, rule = B36ce7c/S23-y
60bo$55bo3bobo$54b2o3bo2bo$54bobo3b2o2$2b2o44b2o10b2o$3bobo43bobo8b2o$
4b2o44b2o75$60bo$55bo3bobo$54b2o3bo2bo$54bobo3b2o2$2b2o44b2o10b2o$3bob
o43bobo8b2o$4b2o44b2o9$2o44b2o$obo43bobo$2b2o44b2o$41bobo$40bob2o$41b
3o$42bo!
- SMOSMOS: There are multiple examples of spaceships which collide with each other to create other spaceships (in which the two original spaceships clearly reappear in the new spaceship's evolution sequence), with two of these spaceships colliding with each other to form a third spaceship. There are many examples of these known - should we include the one that works in the widest range of rules, one which shows the constituent spaceships the clearest, or some other factor?

- Slow Whitespace quadratic replicator: I'm not sure if there exist any slower elementary examples in OCA. The dynamics of this are also quite interesting.
FWKnightship wrote:
March 30th, 2021, 1:14 am
2D replicator:

Code: Select all

x = 59, y = 3, rule = B3ai4ciw5aceqr6ck7/S3-kqr4ceq5eikq6-an7c8
3o53b3o$3o53b3o$3o53b3o!
- B026/S1 / Rule 2166637080 1D spaceships: A stamp collection of these could be interesting. The prospect of a 2D rule that simulates a 1D rule when the pattern itself is 1D itself is certainly not common. I'm not sure if the tagalong I posted in the thread is a true tagalong - more testing is needed.
drc wrote:
August 21st, 2017, 12:09 pm
There has also been interest in 1-cell thick soups, which do not explode. They cannot explode because they are bound to move only on one axis, and do not move much on that axis. However, this movement can support spaceships! Two have occurred naturally, 2c/10 and 2c/24:

Code: Select all

x = 35, y = 6, rule = B026/S1
obo2b5o3b7o5$7o2bobo2b3o2bo2bo3b3o2bo2bo!
Unnaturally, there are 2c/8, 2c/12, 2c/14, and 2c/16 spaceships:

Code: Select all

x = 614, y = 16, rule = B026/S1
o3b3o3bo2bobo2bo3bo2b11o2bo2b3o4b2o5$o3b3o3bo2bo2bo2bo2b3o3b7o2bobo2b
3o2bo2bo2bo2bo4b7o3bo3bo3b5o2bobo2bo3b5o2bobobobo2b5o3b6o3b5o3bo2bobob
obo2bo3b6o2bobo2bo4bo2bobobo2bo2bobobobo2bo3bo2bobobo2b3o2bobobo2b3o3b
3o3b3o2bo2bo3bo3b3o3bo3bo3b3o2bobobo2bo2bobobo2bo3bo3b3o3b3o3bo2bo2bo
3bo2bo2bo2bo2bo2b10o3b3o2bobo2b2o2bobobo2b3o2bo2bo3b3o3bo3bo2bobo2b11o
3b5o2bo2b15o2bo2b7o3b5o2bobobobobobobo2bo2bo3b3o3b5o2bobo2bo2bobobo2b
5o3b3o2bobo2bo2bo2b6o2bo2bo2bo2bo3b3o2bobobo2b6o3b7o3b7o2bobobobo2b3o
3bo2bobobo2b2o5$o3b3o3bo2bo2bo3b7o3b5o2bobo2bo3bo2bo2bo3b2o2bobobo2b3o
2bo2b3o3bo2bo2bo2bo3bo2bobo2bo3b3o3b2o3bo3b7o3b3o2bo2b9o2bobo2bo3bo3b
5o3bo2bobobo2bo2bobo2bo2bo2b3o3b3o3b3o2bobo2b11o2bo2bo2bo2b3o2bo2b3o2b
o2bo3b3o2bobo2b3o3b5o2bobobobobobobobo2b5o3b5o2bo2bo2bo2b3o2bobo2bo3b
3o3b3o3b5o3b5o2bo2b7o3bo2bo2bo2bo2b3o3b5o2bo2b11o3b3o2bo2b5o3bo5$2o3b
3o2bobobobo2bo2bo2bo3b7o3b7o2bo2b7o3bo3bo2bo!
muzik wrote:
August 31st, 2017, 2:24 am
A new natural 4c/20:

Code: Select all

x = 43, y = 1, rule = B026/S1
o3bo3b3o2bo2b5o2bobo2b5o3bo2bo2bo!

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Re: Suggested patterns for Golly

Post by dvgrn » December 21st, 2021, 12:10 pm

muzik wrote:
December 21st, 2021, 11:54 am
Given that full names are used on most to all patterns in OCA where they apply (refer to the five margolus media example), wouldn't it also have to apply to unit fraction orthogonal spaceships as well?
Ah, got it. No, there's no "have to apply", exactly... that is, there's no hard-and-fast rule about using real names vs. forum handles in pattern attribution. Each discoverer gets credited however they want to be credited.

So I could either change the real-name attribution to "muzik" in five-margolus-media.rle, or go the other way in unit-fraction-orthogonal-spaceships.zip, or even leave things just the way they are. What's your preference?

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Re: Suggested patterns for Golly

Post by muzik » December 21st, 2021, 12:15 pm

dvgrn wrote:
December 21st, 2021, 12:10 pm
muzik wrote:
December 21st, 2021, 11:54 am
Given that full names are used on most to all patterns in OCA where they apply (refer to the five margolus media example), wouldn't it also have to apply to unit fraction orthogonal spaceships as well?
Ah, got it. No, there's no "have to apply", exactly... that is, there's no hard-and-fast rule about using real names vs. forum handles in pattern attribution. Each discoverer gets credited however they want to be credited.

So I could either change the real-name attribution to "muzik" in five-margolus-media.rle, or go the other way in unit-fraction-orthogonal-spaceships.zip, or even leave things just the way they are. What's your preference?
For consistency's sake option 2 would be preferable.

Back on the topic of patterns that aren't mine that could be included: a while ago Ampere did a bunch of searching for patterns which grow infinitely in weird ways. Among them were base-2, base-3 and base-4 counters, log_phi(t), the first replicator to emulate the same weird behaviour that B36/S245 has, and even possible Turing machines according to one post. It'd probably be better if I were to bring examples here, but do any of these seem interesting enough by name alone?

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Re: Suggested patterns for Golly

Post by dvgrn » December 21st, 2021, 12:31 pm

muzik wrote:
December 21st, 2021, 12:15 pm
For consistency's sake option 2 would be preferable.
OK -- done!
muzik wrote:
December 21st, 2021, 12:15 pm
Back on the topic of patterns that aren't mine that could be included: a while ago Ampere did a bunch of searching for patterns which grow infinitely in weird ways. Among them were base-2, base-3 and base-4 counters, log_phi(t), the first replicator to emulate the same weird behaviour that B36/S245 has, and even possible Turing machines according to one post. It'd probably be better if I were to bring examples here, but do any of these seem interesting enough by name alone?
Sure -- if there are enough of these, they could even find their way into a new subfolder. I guess the traditional label for these kinds of things would be Dean Hickerson's category here, so the folder would be "Unusual-Growth-Rates". People who are not interested in unusual growth rates don't have to look in that folder -- no harm done!

Re: other recently posted patterns: I think all of these are good ideas, and would probably just go ahead and check them in for Golly 4.2 -- if they had comments. Until comments appear, they're all stuck in the "To Be Cheerfully Ignored" bin. Specific instructions on which pattern should go in which subfolder of Patterns are also very helpful -- otherwise I seem to forget and get things mis-categorized every now and then.

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Re: Suggested patterns for Golly

Post by muzik » December 21st, 2021, 1:08 pm

dvgrn wrote:
December 21st, 2021, 12:31 pm
Re: other recently posted patterns: I think all of these are good ideas, and would probably just go ahead and check them in for Golly 4.2 -- if they had comments. Until comments appear, they're all stuck in the "To Be Cheerfully Ignored" bin.
Again, my posts in this thread so far are intended more as "suggestions" for patterns than actual final submissions, allowing both other users to decide on their worthiness and refine what is ultimately approved. For example, the RLE for the weird crystal chaos phenomenon I posted here was more to demonstrate the phenomenon quickly just to see if it would have been significant enough for inclusion, and could have been (and ultimately was) improved later.

Some of the statements I've made with regards to patterns may also have been false or outdated and therefore other members could have corrected anything along those lines (or even proposed patterns that replaced the earlier pattern) before potentially wrong info ended up being added to Golly. For example, there may very well have been another spaceship out there slower than the slowest known example I posted above, and I wouldn't have known until said user announced it here, which would have therefore overridden said pattern's claim to inclusion.

That all being said, there's probably no better time to actually practice writing said comments. Would this be sufficient?

Code: Select all

#N 4c-273954-slow-ship.rle
#O Connor Steppie, 6 February 2019
#C The following is a spaceship which moves orthogonally with a
#C displacement of four cells every 273 954 generations, or approximately
#C one cell every 68488.5 generations.
#C This makes this spaceship the slowest known spaceship as of 2021,
#C excluding spaceships made with universal construction technology,
#C rules with adjustable-speed spaceship families, or custom rules
#C specifically created to harbor slow spaceships.
#C Reference: https://www.conwaylife.com/forums/viewtopic.php?f=11&t=2933&p=69941#p69941
x = 100, y = 100, rule = R45,C2,S2884-4922,B2500-4973
40b20o$36b9o10b9o$34b7o5b8o5b7o$32b6o6b12o6b6o$30b6o6b16o6b6o$28b6o5b
22o5b6o$27b5o5b26o5b5o$25b6o3b32o3b6o$24b5o4b34o4b5o$22b6o3b38o3b6o$
21b6o2b42o2b6o$20b6o2b44o2b6o$19b6o2b46o2b6o$18b6ob50ob6o$16b7ob52ob7o
$15b7ob54ob7o$15b6ob56ob6o$14b6ob58ob6o$13b6ob60ob6o$12b6ob62ob6o$11b
6ob64ob6o$10b6ob66ob6o$9b6ob68ob6o$9b82o$8b84o$7b5ob74ob5o$7b4ob76ob4o
$6b4ob78ob4o$5b90o$5b43o4b43o$4b4ob34o14b34ob4o$4b37o18b37o$3b37o20b
37o$3b3ob32o22b32ob3o$3b34o26b34o$2b4ob29o28b29ob4o$2b33o30b33o$2b32o
32b32o$b33o32b33o$b32o34b32o$b31o36b31o$b31o36b31o$31o38b31o$31o38b31o
$31o38b31o$30o40b30o$30o40b30o$30o40b30o$30o40b30o$31o38b31o$31o38b31o
$31o38b31o$31o38b31o$3ob27o38b27ob3o$3ob28o36b28ob3o$b3ob27o36b27ob3o$
b3ob27o36b27ob3o$b2o3b27o34b27o3b2o$b3o2b28o32b28o2b3o$b3o3b27o32b27o
3b3o$2b2o3b28o30b28o3b2o$2b3o2b29o28b29o2b3o$2b3o3b29o26b29o3b3o$3b3o
2b30o24b30o2b3o$3b3o3b30o22b30o3b3o$4b3o2b32o18b32o2b3o$4b3o3b32o16b
32o3b3o$5b3o2b34o12b34o2b3o$5b3o3b78o3b3o$6b3o3b76o3b3o$6b4o2b76o2b4o$
7b4o2b74o2b4o$7b4o3b72o3b4o$8b4o2b72o2b4o$9b4o2b70o2b4o$9b5o2b68o2b5o$
10b5o2b66o2b5o$11b6ob64ob6o$12b6ob62ob6o$13b6ob60ob6o$13b7ob58ob7o$14b
7ob56ob7o$15b7ob54ob7o$16b7ob52ob7o$17b7ob50ob7o$18b7ob48ob7o$19b7ob
46ob7o$20b8ob42ob8o$22b7ob40ob7o$23b8ob36ob8o$24b8o2b32o2b8o$26b8o2b
28o2b8o$27b9o2b24o2b9o$29b10o2b18o2b10o$31b10o2b14o2b10o$33b34o$35b30o
$38b24o$41b18o$48b4o!

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Re: Suggested patterns for Golly

Post by dvgrn » December 21st, 2021, 1:39 pm

muzik wrote:
December 21st, 2021, 1:08 pm
That all being said, there's probably no better time to actually practice writing said comments. Would this be sufficient?
Beautiful! I can definitely drop that into the Larger-Than-Life folder, with only the usual editorial changes. Just for the record, the only adjustments I'd want to make would be spacing changes, to fit the comments into the same width as the RLE -- which honestly is a fairly pointless superstitious thing to do at this point, but I do it anyway "for consistency's sake" where it's possible:

Code: Select all

#N 4c-273954-slow-ship.rle
#O Connor Steppie, 6 February 2019
#C     The following is a spaceship which moves orthogonally with a
#C displacement of four cells every 273 954 generations, or
#C approximately one cell every 68488.5 generations.
#C This makes this spaceship the slowest known spaceship as of 2021,
#C excluding spaceships made with universal construction technology,
#C rules with adjustable-speed spaceship families, or custom rules
#C specifically created to harbor slow spaceships.
#C
#C Reference:
#C   https://www.conwaylife.com/forums/viewtopic.php?p=69941#p69941
muzik wrote:
December 21st, 2021, 1:08 pm
... my posts in this thread so far are intended more as "suggestions" for patterns than actual final submissions...
Yup, that seems like a reasonable way to tackle a big project like this. On the other hand, you'll probably get more people reviewing your suggestions once they've made it to the cleaned-up about-to-be-checked-in stage.

So a little bit of wasted effort may be somewhat inevitable, where someone notices something out of date/not true at the last minute, and we decide to leave that pattern out after all. The project as a whole will still be a big improvement to the pattern collection!

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Re: Suggested patterns for Golly

Post by GUYTU6J » December 22nd, 2021, 12:42 am

I'm collecting a bunch of suggestions but it will take a while before solving real life issues and completing their comments. For now, I have a half-baked idea for those patterns meant to demonstrate general behaviour of a rule: we can rasterize hints and put them in the pattern directly. It serves as both the initial soup, and a very obvious instruction for how to experiment and what to observe (even if the user doesn't know the i-button for pattern info).
A sample based on the crystal chaos rule:

Code: Select all

x = 400, y = 100, rule = R2,C0,S4-7,9-12,B4,11-12,NB
2o394b3o$b2o393b3o$3o392b2ob2o$3o394bo$397bo26$40b10o70b2o42b2o12b3o
79b2o9b2o22b2o$43b3o74b2o42b2o12b3o79b2o9b2o22b2o$43b3o33b2o34b2o3b2o
42b2o12b3o79b2o9b2o22b2o31b2o$43b3o32b4o33b2o3b2o42b2o12b3o79b2o9b2o
22b2o30b4o$43b3o33b2o34b2o3b2o42b2o12b3o79b2o9b2o22b2o31b2o$43b3o6b6o
10b2o6bo2bo5b6o3bo8bo10b4o2b6o6b6o10bo2b2obo9b2o4b6o2b3o3b2o12b6obo5b
6o3bob4o6b6o3bo2b2o3b6obo3b2o9b9o6b6o3b6o6b6obo2b2o6bo2bo5b6o4bo9bo2b
2o$43b3o5b3o2b3o9b2o5b3ob2o3b3o2b3o2b2o2b3o2b2o8b6ob7o4b3o2b3o9b5ob2o
4b3ob2o3b3o2b3o5b5o10b3o2b5o3b3o2b3o2b7o4b3o2b3o2b5o2b3o2b5o2b2o9b4o2b
4o4b3o2b3o2b7o4b3o2b5ob2o5b3ob2o3b3o2b3o3b2o4b3ob5o$43b3o4b2o5b3o8b3o
4b2o2b2o2b2o4b3o2b2o2b3o2b2o10b2o3b2o3b3o2b2o4b3o9b3o3b2o4b3ob2o2b2o4b
3o5b2ob3o8b3o5b3o2b2o4b3o2b2o4b2o2b2o4b3o2b3o3b3o5b3o2b2o9b3o5b2o3b2o
4b3o2b2o3b3o2b3o5b3ob3o4b2o2b2o2b2o5b3o2b2o4b3ob3o$43b3o3b3o6b3o8b2o3b
3o2b2ob3o3b3o3b2o2b3o2b2o10b2o3b2o4b2ob3o3b3o10b2o4b2o4b3ob2ob3o3b3o6b
3o11b2o6b3ob3o3b3o3b2o4b2ob3o3b3o3b2o4b2o6b3o2b2o9b2o6b3ob3o3b3o3b2o4b
2o2b2o6b3o2b2o3b3o2b2ob3o6b3ob2o4b3ob2o$43b3o3b3o6b3o8b3o2b2o3b2ob3o2b
3o4b2o2b3o2b2o10b2o3b2o4b2ob3o2b3o11b2o4b2o4b3ob2ob3o2b3o8b3o9b3o7b2ob
3o2b3o4b2o4b2ob3o2b3o4b2o3b3o7b2o2b2o9b2o7b2ob3o2b3o4b2o4b2ob3o7b2o2b
3o2b2o3b2ob3o6b3ob2o4b3ob2o$43b3o3b2o7b3o9b2o2b2o3b2ob2o2b3o5b2o2b3o2b
2o10b2o3b2o4b2ob2o2b3o12b2o4b2o4b3ob2ob2o2b3o10b3o8b3o7b2ob2o2b3o5b2o
4b2ob2o2b3o5b2o3b3o7b2o2b2o9b2o7b2ob2o2b3o5b2o4b2ob3o7b2o3b2o2b2o3b2ob
2o7b3ob2o4b3ob2o$43b3o3b3o6b3o9b5o4b2ob6o6b2o2b3o2b2o10b2o3b2o4b2ob6o
13b2o4b2o4b3ob2ob6o13b2o8b2o7b2ob6o6b2o4b2ob6o6b2o4b2o7b2o2b2o9b2o7b2o
b6o6b2o4b2o2b2o7b2o3b5o4b2ob3o6b3ob2o4b3ob2o$43b3o4b2o6b2o11b4o4b2o2b
4o7b2o2b3o2b2o10b2o3b2o4b2o2b4o14b2o4b2o4b2o2b2o2b4o9b3o2b2o8b2o6b3o2b
4o7b2o4b2o2b4o7b2o4b2o6b3o2b2o9b3o5b3o2b4o7b2o4b2o2b2o6b3o4b4o4b2o2b2o
6b2o2b2o4b2o2b2o$43b3o4b3o3b4o11b4o4b2o2b3o3b4ob2o2b3ob3o10b2o3b2o4b2o
2b3o3b4o8b2o4b3o2b3o2b2o2b3o3b4o3b3o2b2o9b3o3b4o2b3o3b4ob2o4b2o2b3o3b
4ob2o5b3o3b4o2b2o9b4o3b3o3b3o3b4ob2o4b2o3b3o3b4o4b4o4b2o2b3o3b4o2b3o2b
3o2b2o3b3o$43b3o5b8o13b2o5b2o3b8o3b9o11b2o3b2o4b2o3b8o9b2o5b6o3b2o3b8o
5b5o11b9o3b8o2b2o4b2o3b8o2b2o6b9o2b2o9b9o5b8o2b2o4b2o4b9o5b2o5b2o3b8o
4b6o3b2o3b3o$54b2o31b2o8bo36b2o22bo13b2o10b2o11b2ob3ob2o7b2o19b2o15b3o
21b3o10b2o19b3o24b2o10bo10b2o$197b3o2b4o152b3o$198b6o5$59b2o69b2o47b2o
81b2o38b2o14b6o$59b2o69b2o47b2o81b2o38b2o13b3o$59b2o25b2o42b2o47b2o27b
2o42b2o3b2o3b2o27b2o9b2o13b2o$59b2o25b2o42b2o47b2o26b4o40b4o2b2o3b2o
27b2o9b2o12b3o$59b2o25b2o42b2o47b2o27b2o42b2o3b2o3b2o27b2o9b2o12b6o$
43b2o5b6o3b2o4b6o5b6o3b4o11b6obo3bob4o6b6ob2o9bo2b2o3b6obo3bob4o6b6ob
2o4b6o4b5ob4o3bo3b7o4b6o10bo8bo3bo3b4o2b6o13b6o3b4o2bo2b2ob2o5bo6b8o$
41b5o3b3o2b3o2b2o3b3o2b3o3b3o2b3ob6o9b3o2b5o2b7o4b3o2b5o9b5o2b3o2b5o2b
7o4b3o2b5o3b3o2b3o3b11o2b2o2b7o3b3o2b3o9b2o2b3o2b2o2b2ob6ob7o11b3o2b3o
b6ob5ob2o5b2o11b3o$41b2ob3ob2o4b3o2b2o2b2o4b3o2b2o5b2o3b2o10b3o5b3o2b
2o4b2o2b3o5b3o9b3o3b3o5b3o2b2o4b2o2b3o5b3o2b2o5b3o2b2o2b3o2b2o2b2o6b2o
3b2o4b3o9b2o2b3o2b2o2b2o3b2o3b2o3b3o9b2o5b2o3b2o3b3o3b2o5b2o12b3o$41b
3o3b3o3b3o3b2ob3o3b3o2b3o10b2o10b2o6b3o2b2o4b2o2b2o6b3o9b2o4b2o6b3o2b
2o4b2o2b2o6b3ob3o6b3ob2o2b3o2b2o2b2o5b3o2b3o3b3o10b2o2b3o2b2o2b2o3b2o
3b2o4b2o8b3o10b2o3b2o4b2o5b2o13b2o$42b3o2b3o2b3o4b2ob3o2b3o3b3o10b2o9b
3o7b2o2b2o4b2ob3o7b2o9b2o3b3o7b2o2b2o4b2ob3o7b2ob3o6b3ob2o2b3o2b2o2b2o
5b2o3b3o2b3o11b2o2b3o2b2o2b2o3b2o3b2o4b2o8b3o10b2o3b2o4b2ob9o10b2o$43b
3ob2o2b3o5b2ob2o2b3o4b2o11b2o9b3o7b2o2b2o4b2ob3o7b2o9b2o3b3o7b2o2b2o4b
2ob3o7b2ob2o7b3ob2o2b3o2b2o2b2o4b3o3b2o2b3o12b2o2b3o2b2o2b2o3b2o3b2o4b
2o8b2o11b2o3b2o4b2o5b2o13b2o$45b8o6b2ob6o5b3o10b2o10b2o7b2o2b2o4b2o2b
2o7b2o9b2o4b2o7b2o2b2o4b2o2b2o7b2ob3o6b3ob2o2b3o2b2o2b2o4b2o4b6o13b2o
2b3o2b2o2b2o3b2o3b2o4b2o8b3o10b2o3b2o4b2o5b2o13b2o$40b3o2b2ob4o7b2o2b
4o7b2o10b2o10b2o6b3o2b2o4b2o2b2o6b3o9b2o4b2o6b3o2b2o4b2o2b2o6b3o2b2o6b
2o2b2o2b3o2b2o2b2o3b3o5b4o14b2o2b3o2b2o2b2o3b2o3b2o4b2o9b2o10b2o3b2o4b
2o5b2o5b2o5b3o$40b3o2b2ob3o3b4ob2o2b3o3b4ob3o3b4o2b2o11b3o3b4o2b2o4b2o
3b3o3b4o9b2o5b3o3b4o2b2o4b2o3b3o3b4o2b3o3b4o2b2o2b3o2b2o2b2o2b3o6b3o3b
4o8b2o2b3ob3o2b2o3b2o3b2o4b2o9b3o3b4o2b2o3b2o4b2o5bo6b3o3b3o$41b5o3b8o
2b2o3b8o3b8o3b2o12b9o2b2o4b2o4b9o9b2o6b9o2b2o4b2o4b9o3b8o3b2o2b3o2b2o
2b2o2b8o2b8o10b9o3b2o3b2o3b2o4b2o10b8o3b2o3b2o4b2o13b7o$43b2o7b2o13b2o
9b2o22b3o20b3o23b3o20b3o10b2o36b2o15bo40b2o23$3bo2$3b3o$ob2ob2o$2bo3bo
$2b2ob2obo388bo$3b3o390b2o$395bob3o$5bo390b3o$398bo!
(Note the 12-cell D2_1-symmetric pattern on top right.)
What do you think of it?

EDIT: unrelated, but there is a collection that should be synchronized with the actual LifeWiki, namely Help→Online Archives→LifeWiki Pattern Archive.

EDIT2: more tangentially, in the last post where I mentioned the issue above, there is also a link to Golly Scripts Database that needs serious updating. Unlike the link above, I don't know if this link is accessible from within Golly, but it even includes several ancient Perl scripts! Possibly, I hope, it (and the Scripts folder bundled officially with the rest of Golly files) can accept new suggestions like patterns do?
Why do most natural OCA rules tend to get a diminishing span of interest and go into oblivion, like a lost civilization leaving little records for its beauty and power?

I have been focusing on this rule, now in industrial era:

熠熠种花 - Glimmering Garden

User avatar
muzik
Posts: 4586
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

Re: Suggested patterns for Golly

Post by muzik » December 22nd, 2021, 4:24 pm

dvgrn wrote:
December 17th, 2021, 10:57 am
muzik wrote:
December 16th, 2021, 10:17 pm
On the topic of patterns bundled with Golly: would it be possible to remove the bounded grids from the Generations and Larger than Life patterns since the algorithms have evolved to the point where they're no longer neccessary (and their presence ends up being disruptive)?
Sure! A collection of corrected patterns, posted here as a ZIP file, would probably get checked in relatively quickly (assuming no one else came up with any objections).
As was requested in the other thread, here's a zip file containing all of the modified patterns:

https://cdn.discordapp.com/attachments/ ... v0.1.0.zip

Changed made are as follows: bounded grids where unneccessary (i.e. every Generations/LtL pattern that had them excluding Majority) have had them removed, all .mcl files have been converted to .rle, the comments have been reformatted as to more closely line up with more modern standards for comments in patterns included alongside Golly, and the files in question have also been renamed from CamelCase to lowercase-and-dashes.

I've also converted all of the LtL patterns to use the HROT rulestring notation rather than the Larger than Life notation. Hopefully this bold move of mine doesn't end up being too controversial - my reasonings for doing so are encapsulated in the linked post (with at least one more reason being discovered while I was doing the conversion), and I hope everyone agrees with the statements raised there. To summarise, HROT's notation does away with the needlessly confusing M parameter, and uses less characters to describe LtL rules than traditional LtL notation does. I've tested all affected patterns thoroughly (excluding the range 500 bug, which is far too high-period for me to oscar, but the first few generations line up, and since one value being off would cause this to not be the case I'm certain it's fine) and they all run completely fine, so this change shouldn't cause any issues in terms of patterns no longer working.

That all aside (although I'm open to further discussion of the subject on the dedicated thread), there's something that kind of irks me about the name of the "Life-Like" folder - that terminology seems far too general to me, and somewhat implies that non-totalistic Life-like cellular automata aren't actually Life-like cellular automata at all. Could that folder be renamed to something along the lines of "Outer-Totalistic" to fit modern naming conventions better?

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muzik
Posts: 4586
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

Re: Suggested patterns for Golly

Post by muzik » December 23rd, 2021, 3:51 pm

dvgrn wrote:
December 21st, 2021, 12:31 pm
muzik wrote:
December 21st, 2021, 12:15 pm
For consistency's sake option 2 would be preferable.
OK -- done!
Just checked - p42-knightship.rle is also subject to this problem and can be fixed identically.

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GUYTU6J
Posts: 1850
Joined: August 5th, 2016, 10:27 am
Location: 拆哪!I repeat, CHINA! (a.k.a. 种花家)
Contact:

Re: Suggested patterns for Golly

Post by GUYTU6J » January 11th, 2022, 6:39 am

Still trying to get more attention to my posts
I stumbled upon this gun and thought it is amazing:

Code: Select all

#N p148-B29-gun.rle
#O Luka Okanishi et al, February 2017
#C 
#C B29 is a small c/4 diagonal spaceship that got synthesized in April
#C 2015 by Tanner Jacobi. On February 11, 2017, Luka Okanishi managed
#C to build B29 at a repeat time of 148 with 31 gliders and a MWSS.
#C Soon the user constructed a compact p148 gun, and Adam P. Goucher
#C and Dave Greene reduced its bounding box mildly.
#C Note that, due to the high compactness, several components have
#C been combined non-trivially, for example a shared block at (358,306).
#C
#C Reference: https://www.conwaylife.com/forums/viewtopic.php?p=40764#p40764
x = 623, y = 516, rule = B3/S23
498bo11b2o$497bobo10b2o$489bo3b2o2bobo$488bobo2bo2b2ob2o$488bobo3bobo$
489bob4o2bob2o80bo11b2o$491bo3bobob2o79bobo10b2o$490bo3bobo75bo3b2o2bo
bo$489bo3bobo75bobo2bo2b2ob2o$489b2o3bo62b2o12bobo3bobo$469b2o4bo82bo
13bob4o2bob2o$328b2o136b2o2bo4b3o54bo25bobo13bo3bobob2o$328bobo133b3ob
2o8bo53b3o24b2o12bo3bobo$330bo4b2o126bo13b2o23b2o31bo36bo3bobo$326b4ob
2o2bo2bo125b3ob2o32b2o30b2o36b2o3bo$326bo2bobobobob2o127bob2o10bobo34b
2o32b2o$255b2o26b2o44bobobobo145b2o33bo2bo31bo$255bobo25bobo44b2obobo
142b2o37b2obo28bobo$257bo4b2o21bo4b2o42bo141bo2bo32bo7bo28b2o34b2o$
253b4ob2o2bo2bo15b4ob2o2bo2bo174b2o6bo34b2o7b2o63b2o$253bo2bobobobob2o
15bo2bobobobob2o26b2o146b2o7bo2bo3b2o25bobo59b3o24b2o$256bobobobo21bob
obobo30bo7b2o147b3o25b2o62bo4bo23bo2bo$257b2obobo22b2obobo30bobo5b2o
175bo62b2o3bo25b2obo$261bo27bo32b2o166b2o15bo60b2o33bo$490bo15b2o61bo
2bo30b2o$247b2o26b2o186bob2o14b2o8b3o76b2o$248bo7b2o18bo7b2o177b2obo
14bo11bo95b2o$248bobo5b2o18bobo5b2o67bo128b3o75b2o27bo$249b2o26b2o72b
3o118b2o10bo39bo35b2o11b2o15bo$350bo121b2o50bobo46bo15b2o$332b2o16b2o
172b2o48b3o$276bo55bo202b2o5b2o32bo18b3o$274b3o56b3o89b2o109bo5bo52bob
o$273bo61bo22b2o49bo15b2o106b3o7b3o35b2o11bo2bo$273b2o84bo47b3o79b2o
42bo11bo36bo11b2obo$259b2o26b2o70bob2o43bo81bob3obo14bo58b2o12bobo11b
2obo$259bo18b2o7bo59b3o7b3o2bo42bobo74b2o4bo4b2o12b3o58bo14b2o14bo$
260b3o16b2o7b3o19bo35bo2bo6bo3b2o43bobo74bo4b2obobo13bo62bo26bo3b2o$
262bo15bo11bo17b3o35bob2o6b4o46bo73bobo3bo3b2ob3o10b2o60b2o25bo4bo$
307bo34b2o3bo11bo43bo76b2o3bo2b2o3b3o99bo3b2o$307b2o32bobo12b3o44bo81b
3o2b2o3b2o57b2o40bo7b2o$263b2o48b2o26bo13bo46bobo83bobo3b3o3b2o53bo39b
o8b2o$262bobo5b2o42b2o24b2o14b5o37bo41b2o45bo2b2o3b2o4bo53bob2o7bo26bo
2bo$243b2o17bo7b2o41bo46bo29b2o6bo41b2o45b3o3b3o6bo53bo2bo7b2o24bo$
244b2o15b2o95bo31b2o4b4ob2obo57b2o26b2ob3o5b2o54b2o7b2o28b2o$243bo114b
2o35b2o4bobo59bo23b2obobo79b2o20bob2o8bo$170b2o103bo118bo5bo2bo59bobo
22bo4b2o77b2o19b2ob2o6b3o$170bobo98b2obobo20b2o96b2o2b3o9bob2o49b2o22b
ob3obo98b3o7bo$170bo99bobobobo19bobo5b2o92bo2bo9b2obo74b2o112b2o$173bo
93bo2bobobobob2o16bo7b2o92bobo195bo$135b2o36b2o92b4ob2o2bo2bo15b2o101b
obo39b2o19bo119bo3b2o9b2o$135b2o36b2o96bo4b2o157b2o2bo2bo17bobo117bobo
3bo7bo2bo13b2o$119bo52b2o48b2o45bobo37bo125bobo2b2o18bobo116bobo3bo8b
3o15bo$119b3o46b2ob2o50bo45b2o34b2obobo109b2o16b2o18b3ob2o111b2obobo3b
o8b3o16bob2o$122bo45bo4bo47bo82bobobobo82bob2o24bo17bo17bo117b2obo2b4o
bo5b2o10b2o4b3o2bo$121b2o45bob4o47b5o14b2o59bo2bobobobob2o77b3ob2o21b
3o15bo2bob2o15b3ob2o85bo29bobo3bobo5bo10b2o3bo3b2o$172b2o52bo13bo16bo
11b2o30b4ob2o2bo2bo76bo27bo16bobob2obo17bob2o2b2o80b2o25b2ob2o2bo2bobo
2b3o16b4o$172b2o49b3o12bobo15bobo10b2o34bo4b2o79b3ob2o39bobo26bobo80bo
bo25bobo2b2o3bo3bo4b2o15bo$172b2o48bo15b2o4bo3bo3b2o2bobo44bobo87b2o2b
o39bo2b2o23bo2bo95b2o10bobo15bobo12b3o$174bo47b4o16b3o2bobo2bo2b2ob2o
43b2o11bo79bobo39b2ob3o20b2ob2o6b2o87b2o11bo9bo6bo13bo$135bo37b2o45b2o
3bo3b2o10bo5bobo3bobo60b3o73bob2obobo44bo20bo4b2o3bobo109b3o3b2o14b5o$
134b3o36bo45bo2b3o4b2o10b2o5bob4o2bob2o59bo72b2obo2bo16b2o21b2ob3o22b
3o8bo112bo22bo$121b2o10bo2bo37bo44b2obo27bo3bobob2o58b2o75bo19bo14b2o
6b2obo25b2o2bo5b2o110b2o20bo$120bobo9b3o2b2o83bo26bo3bobo139b2o16bobo
13b2obo23b2o11b2o140b2o$120bo12bo2b3o83b2o24bo3bobo138b2o2bobo13b2o14b
o2bo23b2o$119b2o13b2o2b2o108b2o3bo56b2o80bo2bo2b2o29b3o55bo93b2o$137b
3o170bo82b2o35b2o55bobo91bo$134b4obo90b2o75b2obo5bo116b2o52b2o89b2obo$
134b2o2b2o91bo75bo2b2o4b2o102bob2o9b2o143bo2b3o4b2o$137b2o89b3o18bo11b
2o45b2o2bob2ob2o101b2obo155b2o3bo3b2o$228bo19b2obo9b2o47b2o155bo113b4o
$140b2o107bob2o23b2o32bobo13b2o138bobo112bo15b2o$130bo9bo109bo24bo2bo
32bobo12bobo114b2o21bobo113b3o12bobo$129bo11b3o132b2obo34bo5bo7bo114b
2o22bo117bo13bo$129b3o11bo85b2o48bo29b5o7b2o5b2o8bo123b2o116b5o14b2o$
229b2o48b2o28bo10b2o15bobo121bobo116bo$118bo192bo100b2o47bo120bo$116b
3o146b2o29b2o7b2o3b2o24bo3bo55b2o14b2o46b2o119b2o$115bo149bo30b2o7bo
91bo30bo39bo$114bobo32bo100b2o14bo36bobo88b3o30bobo36b2o$114bobo30b3o
100bobo12b2o36b2o26b2o4b3o54bo32bobo37b2o144bo$115bo30bo105bo77b2obo
94bo109b3o70b3o$130b2o14b2o104b2o71b2o2bo3bo91b3o110bo71bo$94b2o34b2o
75b2o115bo2bo2bobo92bo113bo62bo7b2o$94bobo110bobo48bo66b2o4b2o78bo188b
obo$96bo79bobo28bo50b3o19b3o46b2o4b2o63bo9bo190b2o$96b2o79b2o31bo33b2o
15bo18bo39b2o6bobo5b2o62b3o6b3obo204b2o$177bo32b2o32bo15b2o11b2o6bo38b
2o6b2ob3ob2o66bo5b2o2b2o204bo$210b2o33bo27b2o57bo2b2o38b2o25b2o5b2o2b
2o204bob2o$98b2o109b2o33b2o87b3o23bo15b2o234b2o4b3o2bo$97bobo20bob2o
81b2ob2o85b3o36bo22b3o49b2o200b2o3bo3b2o$97bo22b2obo81bo4bo19b2o60bo2b
o2bo57bo52bo4bo201b4o$96b2o107bob4o20bo61bo4bo56bobo51bo4bo10b2o87b2o
70bo15b2o15bo$149b2o58b2o20bob2o56bobo2bobo56bobo52bobo11bob3obo14bo
68bo70b2o14bobo12b3o$112b2o30b2o2bo2bo57b2o21bo2bo55b2o3b2o58bo18b2o
47bo4b2o12b3o9bo56bobo70bobo13bo13bo$112b2o15b2o13bobo2b2o58b2o22b2o
51b2o86bo45b2ob2obobo13bo10b2o57b2o86b2o14b5o$128bobo16b2o62bo74b2o85b
o3b3o38bo2bobo2b2ob3o10b2o10b2o164bo$102bob2o22bo19bo61b2o161bo2b5o37b
3o3b2o3b3o73b2o111bo$100b3ob2o21b2o16bo2bob2o58bo37b3o122b2o5b2o8b2o
29b3o2b2o3b2o5bo64bo4b2o108b2o$99bo44bobob2obo59bo33b2o2bo90b2o37b2o9b
2o28bo3bobo3b3o4bobo64bo5bo$100b3ob2o39bobo97bobo92b2o31b2o26b2o18b3o
2b2o3b2o3bo2bo66b2obo$102b2o2bo39bo2b2o106bo3b2o31b2o105b2o15b3o3b2o3b
3o5b2o69bo$105bobo3b3o33b2ob3o103bobo3bo32bo80bo41bo2bobo2b2ob3o18bo
134b2o$101bob2obobo3bob3o8bo22bo4bo101bobo3bo12b2o16b3o66bob2o8b3o44b
2ob2obobo21bobo131bo4bo$101b2obo2bo3b2ob2o7b3o21b6o98b2obobo3bo13bobo
15bo68b2obo59bo4b2o19b2o132bobobob2o$104bo6b2ob2o6bo20b2obo3bo100b2obo
2b4obo13bo2b2o143bob3obo77b3o72b2obo3b2o$104b2o7bo8b2o19bo111bobo3bobo
12bobobo109b2o33b2o79b7o73b3obo$102b2o2bobo32bobo107b2ob2o2bo2bobo6b2o
3b2obo74b2o30b2o2bo2bo110b2ob2obob2ob2o67b3o4bo6b2o$101bo2bo2b2o34bo
108bobo2b2o3bo7bo2bo2bob2o73b2o30bobo2b2o9b2o40b3o58bob2o3b2obo68bo2bo
b3o5bo2bo$102b2o38b2o96b2o10bobo17b3obo93b2o16b2o11bo41bo41b2o16bobo7b
obo68b2o3b2o6bobo$141b3o96b2o11bo22bo4b2o60bob2o24bo17bo9bobo42bo41bo
16bo2bobobobo2bo65b3o2bob3o7bo$129bob2o139b4ob2o2bo2bo56b3ob2o21b3o15b
o2bob2o6b2o7b2o75bo16b2ob2ob3ob2ob2o64bo2b2o4bo$129b2obo139bo2bobobobo
b2o55bo27bo16bobob2obo15b2o75b2o15bo4bo3bo4bo65bo3b3obo11b2o$275bobobo
bo59b3ob2o39bobo114b3obobobob3o67b2obo3b2o10bo$276b2obobo61b2o2bo39bo
2b2o22b2o83b2o4bob2obo2bo70bobobob2o11b3o$152b2o126bo65bobo39b2ob3o14b
3o3b2o15bo67bo10bobo71bo4bo15bo$102b2o48b2o188bob2obobo5b2o37bo12bo3bo
17b2o65b2obo10b2o73b2o8b2o$102b2o162b2o74b2obo2bo4bo11b2o21b2ob3o13bo
3bo18b2o63bo2bo96bobo$267bo7b2o68bo7bo2bo8bo22b2obo13b2o5b2o82b2o77b3o
12bob2obo2bo$267bobo5b2o68b2o7b2o7bobo38bo4bo4bo51b2o13bo93bo12b3obobo
bob3o$244b2o22b2o73b2o2bobo4b2o7b2o15b2o22bo3bobo3bo28b2o21b2o12b3o93b
o10bo4bobobo4bo$137bo106bobo95bo2bo2b2o3bo2bo23b2o27bo4bo28b2o36bobo
104bob2ob3ob2obo$136bobo74bobo28bo98b2o11bo37b2o2b2o3bo8b2o71b2o43bo
11b2o44b2obo5bob2o$136bobo75b2o31bo105b3o38bo2bo2bo6bo3bo72bo44bobo10b
2o46bo2bobo2bo$137bo76bo32b2o121bob2o21bobobo3bobobo3bo109bo3b2o2bobo
56bo11bo$134b3o110b2o121b2obo22bo2b2o7b3o109bobo2bo2b2ob2o55bo2b2o3b2o
2bo$117b2o15bo97b2o12b2o37bobo109b2o121bobo3bobo60bo2b5o2bo$117b2o113b
o9b2ob2o31b2o6b2o111b2o75bob2o41bob4o2bob2o$125b2o11bo91bobo9bo4bo30bo
7bo106b2o4bo74b3ob2o43bo3bobob2o$125b2o10bobo90b2o10bob4o31b3o92b2o17b
2o5bo72bo48bo3bobo$137bobo2b2o3bo98b2o33bo93b2o20b3o10bo63b3ob2o16b2o
23bo3bobo$136b2ob2o2bo2bobo97b2o126bo22bo10b2o8bo57bobo17bo24b2ob2o67b
o$126bo13bobo3bobo12b2o83b2o114b2o45b2o5b2o31b2o8b2obo13bobo15bobo10bo
61b2o21bobo$125b3o8b2obo2b4obo13bo23bo62bo97b2o14b2o53b2o31bo8b2ob3o
12bo16b2o11b3o58bobo21bo2bo$125bo2bo7b2obobo3bo13bobo23b3o59b2o98bo30b
o68b3o15bo44bo56bo2bob2obo17b2o$140bobo3bo12b2o27bo58bo96b3o30bobo67bo
11b2ob3o44b2o23b2o29b3obobobob3o$128bob2o9bobo3bo39b2o59bo95bo32bobo
78bo2b2o71b2o28bo4bo3bo4bo$123b3ob2o3bo9bo3b2o230bo79b2o52bo36b2o13b2o
b2ob3ob2ob2o18b2o$123b2o2b2o4bo34bo42bo7bo155b3o89bo43b3o34bo2bo13bo2b
obobobo2bo19bobo$123bo2bo2b2obo35b3o38b3o7b2o154bo37bo13bo9bo15bo13b3o
40bo2b2o34b2obo12bobo7bobo21bo$121bobo2bo44bo36bo9bobo192bobo11b3o5b3o
13b3o16bo38b2o3b2o36bo13bob2o3b2obo22b2o$121bo2b6o40b2o11b2o23b2o140bo
62b2o15bo3bo15bo18b2o39bobo2bobo27bo6b2o11b2ob2obob2ob2o$119bobo5b2o
54b2o165b3o76b2o3b2o14b2o59b2o3b2o26b2o22b7o$119bo127bo105bo146b2o36b
2o4bobo23b3o$117bo2bo52bo71b3o71bo32b2o146b2o36bo$116bob2o53b2o69bo72b
3o96b2o105b2o14bo$116bo54b2o2bo68b2o70bo99b2o105bobo12b2o$115b2o52bo4b
2o74bo65b2o207bo46bo$169b3o42b2o34b2o96bo114b2o48b2o10b2o44bobo$129b2o
38b2o43b3o32bobo95bobo68bo43b2o49bo56bo2bo$130bo27b2o50b2ob2ob2o106b2o
21bobo22b2o40b2o2bo44bo39b2o9b3o54b2o3b2o$129bo15b2o11b2o35b2o13b3obo
2bo2bo104bo20b2ob2o21bo40bo5bo63b2o19bo11bo59bobo$129b2o15bo49bo13bob
2ob3obobo103bob2o17bo23bobo21bo17b2o2bobo64bobo17bo72bo$143b3o47b3o8b
2o14bo13b2o81b2o4b3o2bo18bob2o19b2o20b2o19b2o3bo66bo17b2o18bo11b2o30b
2o$143bo49bo11bo27bobo5b2o74b2o3bo3b2o17bobob2o8bo33b2o19b3o56b2o10b2o
35bobo10b2o29bobo$202b3o28bo7b2o79b4o19b2o11bobo112bo40bo3b2o2bobo41bo
$137b2o63bo10b3o16b2o74b2o15bo31b2ob6o97b2o9b3o36bobo2bo2b2ob2o39b2o$
137bo46b2o24b2o2bo66b2o24bobo12b3o34bobobo2b2o75b2o19bo10bobo21b2o12bo
bo3bobo82b2o$135bobo12b2o32bobo24b3o3b2o27bo34bobo23bo13bo39b2o2b3o3b
2o50bo6b2o11bobo17bo11bobo22bo13bob4o2bob2o7bo70bobo$135b2o14bo34bo25b
o4bobo22b2obobo33bo24b2o14b5o7b2o25bobo7b2o48b3o6b2o13bo17b2o9b3o23bob
o13bo3bobob2o6b3o64bob2obo2bo$150bo35b2o31bo21bobobobo36bo41bo7b3o24b
2o12bo26bobobobo11bo24b2o26bo27b2o12bo3bobo10bo2bo61b3obobobob3o$150b
2o67b2o17bo2bobobobob2o33b2o38bo9b3o26b2o10bobo23bob2ob2obo10b2o51b2o
39bo3bobo9bob5o59bo4bo3bo4bo$203b2o33b4ob2o2bo2bo33b2o24bobo11b2o7bob
2o26b2o10b2o24bo3bo3bo104b2o3bo9b2ob4o60b5obobob5o$114b2o48b2o36bobo
37bo4b2o34b2o25b2o21b3o66b2obo3b2o39bo42bo103bo2bobobobo2bo$114b2o48bo
37bo37bobo36b2ob2o27bo22bo69bo15bo15bo13b3o38b3o37bo65bobo7bobo$161b2o
bo36b2o7b2o28b2o37bo4bo119bobo2b4o5b3o13b3o16bo36bo46b2o62b2ob2o$143bo
16bo2bo46b2o15bo51bob4o120b2o2bo3bo3bo15bo18b2o23b2o11b2o41b3ob3o41b2o
14b2o4bo4b2o$142b2o17b2o62b3o55b2o88bo38b2o3b2o14b2o42b2o58b2o42bo17b
2o5b2o$141b2obo79bo58b2o86b2o8bo3bo145bo10b2o39bo$142bobo79b2o57b2o87b
2o5b2o3bo156bo2bo18b2o14b5o19bo$143b2o4bo135bo94b2o2b3o12b2o131bo2bo6b
2obo18bo13bo$284b2o113b2o42bo92bo8bo18bobo12b3o$284bo157b2o44bo2bo43bo
9b2o18b2o15bo19bo$133b2o3bo146bo155b2o44b2o2bob2o84b4o18bobo$133bo3bob
o302bo43bo4bob2o36b2o41b2o3bo3b2o16bo2bo$134bo3bobo253bobo46bob3o45b2o
7b2o27bo42b2o4b3o2bo16b2o$135bo3bobob2o231bo13bobo9b2o41b3o18b2o18b2o
4bo9b2o11b2o15bo49bob2o$133bob4o2bob2o231bobo11bo11b2o62bobo19b2ob2o
22bo15b2o33bo15bo$124b2o6bobo3bobo235b2o12bobo3bo71bo47b3o47b2o13b2o
23b2o$124b2o6bobo2bo2b2ob2o140bo107b2obo59b2o10b2o48bo46bobo38bobo$
133bo3b2o2bobo139b3o170bo151bo$141bobo10b2o126bo162bob2o8b3o63b2o48b2o
33b2o$142bo11b2o62b2o3bo57bobo142b2o15b3obobo9bo16b2o46bo48bo$219bo2bo
bo56bobo122bo6b2o11bobo13bo7bo24bobo32b2o12bobo47b3o$217bo4bobo57bo
121b3o6b2o13bo13b2o4b3o11bo12bo34bo14b2o49bo$217b5obo161bobobobo11bo
24b2o17bo14b3o9b2o35bo75b2o$221bo56b3o103bob2ob2obo10b2o42b2o16bo14bo
29b2o76b2o$217b2o3bo161bo3bo3bo71b2o12b3o106bo$217bobo3bo7bob2o43bobo
102b2o3bo3bob2obo26bo52bo18b2o48b2o$218bo3b2o7b2obo31b2o5b3o2bobo3bo
72bo27b2obobobobob2o12bo13b3o50b2o18bo48b2o14b2o$266b2o16bo70b2o28bobo
bobobo14b3o16bo69bob2o60bobo$198b2o31b3o3b2o32b2o3bob3o50bo24b2o29bo3b
o15bo18b2o70bo2bo58bo2bob2obo$170bo11b2o14b2o31bo2bo2bobo31bo4bo53bo
55b2o3b2o14b2o67b2o21b2o13bobo41b3obobobob3o$169bobo10b2o49b2o3bo32b2o
2b2o10bob2o39b3o124b2o17b2o36bo2bo39bo4bobobo4bo$161bo3b2o2bobo73b2o
29bo10b2obo27b2o137b2o55bo2bo39bob3obobob3obo$152b2o6bobo2bo2b2ob2o46b
o25bo28b3o41bobo52b2o140b2o44bo5bo$152b2o6bobo3bobo34b2o15b3o20bobo28b
2o42bo46bo7b2o46bo89b2o46bobobobobobo$161bob4o2bob2o30b2o18bob2o16b2o
76bo16bo25bo55b2o46b3o40b2o45bo4b3o4bo$163bo3bobob2o26b2o20bo4bo94b2o
15bobo23b3o13b2o36bo3bo44bo2bo52bo3b2o30b11o$162bo3bobo30b2o22b3o95b2o
15b2o39bo2b2o33bo2bobo44bo3bo50bobo3bo30b2o7b2o$161bo3bobo101bob2o47b
2o53b4o5bo32bo2b3o37b2o4bo2b3o49bobo3bo$161b2o3bo100b3ob2o43b2ob2o53bo
3bobo2b2o55b2o19bo5b4o46b2obobo3bo$205b2o59bo49bo4bo52bo4bo3bo56bobo
16bo57b2obo2b4obo5b2o$205b2o13b2o45b3ob2o43bob4o52b2ob2o63bo16b2o60bob
o3bobo5bo50b2o$219bobo47b2o2bo46b2o14bo39bo53b2o10b2o19b2o6bobo43b2ob
2o2bo2bobo2b3o30bo20bobo$151b3o20b2o43bo52bobo45b2o12b2o8bo3bo81bo33bo
7b2o44bobo2b2o3bo3bo31bobo14bob2obo2bo$150bo2bo20b2o42b2o48bob2obobo
16bo27b2o13b2o5b2o3bo72b2o9b3o27b3o8bo33b2o10bobo42bo2bo12b3obobobob3o
$153bo35b2o60b2o15b2obo2bo15b3o29bo20b2o2b3o50b2o19bo11bo27bo44b2o11bo
44b2o12bo4bobobo4bo$149bo38bo2bo38b2o19bo19bo17bo31b2o57bo6b2o11bobo
16bo6bo11b2o139bob2ob3ob2obo$149bo2bo36b2obo38bo17bobo19b2o16b2o30bo
56b3o6b2o13bo16b2o4bobo10b2o46bo92b2obo5bob2o$142b2o5b3o31b2o7bo35b3o
18b2o18b2o2bobo46bo36bobobobo11bo24b2o13b2o2bo3bobo58b3o23b2o46b2o19bo
2bobo2bo$142b2o4b2o6b2o25bobo6b2o34bo29bo9bo2bo2b2o82bob2ob2obo10b2o
37bo2b2obob2ob2o60bo21bobo45bobo17bo11bo$149b2obo3b3o24bo72b3o4bo5b2o
85b3o3bo3bo35b2o12bobo3bobo30bo32bobo19bo2bob2obo34bo5bo19bo2b2o3b2o2b
o$150b3o25b2o75bo5b3o75bo15bo3b2obob2o37bo13bob4o2bob2o26b3o30bobo17b
3obobobob3o33bo3b2o20bo2b5o2bo$151bo26bo76b2o3bo8b2o68bobo13bobo3bobo
39bobo13bo3bobob2o29bo30bo17bo4bo3bo4bo7bo22b3o$163b2o14bo54b2o24b2o7b
o51bo5bo11b2o12b2obob2o3bo40b2o12bo3bobo11bo20b2o14b2o32b2ob2ob3ob2ob
2o7b2o$163bobo12b2o55bo30b2obo33b2o4b2o10b2o4b2o16bo6bo3bo3b3o54bo3bob
o11b3o35b2o33bo2bobobobo2bo7bobo52b2o$165bo69bobo29bobobo30bobo3bobo9b
obo3bobo14b2o7bob2ob2obo10b2o44b2o3bo11b2o2bo69bobo7bobo62b3o$165b2o
41bob2o24b2o29bo2b2o21b3o8bo5bo33b2o7bobobobo11bo24b2o36bob3o70bob2o3b
2obo61b2ob2o$208b2obo53bobo14b2o9bo78b3o6b2o13bo37b2obob2o63b2o2b2ob2o
bob2ob2o60b3o$171bo78b3o12b2o15bobo8bob3o40b2ob2o31bo6b2o11bobo41bo2bo
62b2o5b7o63b2ob2o$171b3o34b3o3b2o20bo15bo28bo2bo10bo2bo32bo6bo3bo15b2o
34b2o41b6o70b3o67b2o$157b2o15bo33bo2bo2bobo17b2o12bo5bob3o23bo2b2o2b2o
4b2o2bo32bo6b3o16b2o78bo2bo142bo$157bo15b2o11b2o22b2o3bo20b2o9bo2b3o
29b2o6b2o2bo36b3o100b2obob2o4b2o34b2obo$158bo27b2o34b2o11bo14bo4bo28bo
3bo3bobo24b2o41bo71bob3o5bo2bo33bob2o103b2o$157b2o63bo27b3o2bo14b2o13b
4o2b2obo2bo20bobo7bob2o14b2o13bobo70b2o2bo6b2obo66bo72bobo$220bobo28bo
2bo16bo24b2o22bo8b2o15bobo4bo6bo3bo5b2o63b3o10bo5b2o58bobo73bo$143b2o
71b2o2b2o27bo18b3o59bo15bo5b2o6bo3bo5b2o64bo11b2o3bo2bo2b2o31bo20bo2bo
73b2o$144bo63b2o6b2o31bo18bo83bobo5bo3bo27bo2b2o57b2o2bobo13b2o15bobo
20b2o$144bob2o59bo2bo73b2o75bobo27b2o2b3o36b2o20b2o16bobo13bo$117bo11b
2o14bo2bo22bob4o30bobo74b2o76bo27b3o2b2o8b2o27bo21bo19bo13bo2bo5b2obo$
116bobo10b2o15b2o23b2o4bo30bo6bo31bo53b3o3b3o81b2o2b2o8b2o11b2o15bo17b
2obo2bo16b2o11b2obo6b2ob3o5b2o$108bo3b2o2bobo42b2o8bo3bob2o39bo28b3o
53bo5bo57b2o49bo15b2o17bob2obobo27b3o14bo3bobo$99b2o6bobo2bo2b2ob2o41b
2o9b3obo20b2o16bo2bo31bo51bo5bo58b2o50b3o35bobo29b2ob2o5b2ob3o4bo$99b
2o6bobo3bobo80bobo18b3o29bobo169bo32b2o2bo30bo2b2o4bo2b2o5b2o$108bob4o
2bob2o76bo20b3o30bo18bo182b3ob2o32b3o4bobo90b2o$110bo3bobob2o75b2o19bo
2bo47b3o110b2o3b2o39b2o23bo27bo11bo4bobob2obo86bo$109bo3bobo54bo3b2o
40bobo9b2o36bo114bo3bo41bo24b3ob2o21b3o15bo2bob2o84bobo$108bo3bobo54bo
bo3bo31b2o7b3o9bo22b2o13b2o110b3o5b3o24b2o12bobo24bob2o24bo17bo87b2o$
98b3o7b2o3bo54bobo3bo12b2o19bo17bobo22b2o125bo9bo24bo14b2o51b2o16b2o$
97bo2bo63b2obobo3bo13bobo15b3o18b2o78b2o52b3o51bo45bo35bobo2b2o$97bo3b
o62b2obo2b4obo13bo15bo29bo69bobo52bo52b2o44b3o34b2o2bo2bo80b2o$96b2o2b
o67bobo3bobo12b2o42b3o4bo60bo5bo53bo96b2obo39b2o80bo2bo$98bo22b2o41b2o
b2o2bo2bobo55bo5b3o60b2o62b2o32b2o48b2o6bobo123bobo$99b2o20b2o42bobo2b
2o3bo56b2o3bo62bobo61b2o34bo48b2o7bo13b2obo108bo$99b3o34b2o15b2o10bobo
43b2o24b2o127bo33bob2o58b2o8bob2o26b2o$98b4o26b2o5bo2bo14b2o11bo45bo
30b2o156bo2bo50bobo3bob2o37bo$128bobo5b2obo72bobo29bo10b2o2b2o44b2o95b
2o96bobo73bo$89b2o37bo10bo73b2o29bob2o2b2o3b3o10b2o36b2o47bo7b2o53bo
32bo3bo44b2o72b2o$89b2o7bobo38b2o94b2o5bobob2ob2o4bo5bob2o3bob2o33bo
48b2o7bobo51b3o31b2o5bo81b2o33b2o3b2o7b2o$97b2ob2o133b4o3b2o6bob2o2b3o
bobo2bobo3bo82bobo6bo52bobo38bo82bobo37b11o$96bobob2o23b2o86bo24bo12b
2o3b3o8b5o141b2o125bo38bo4b3o4bo$95b2ob4o23bo85b2o23b2o46bo5bo5b2o7b3o
107bo164bobobobobobo$97b5o8b2o14bo86b2o21bo26bo2b2o16b2o4b2o3bobo9bo
43bo74bo3b2o16bo133bo5bo$96b2o2bo9bobo12b2o85bo19bo2b2o26b3o17bobo3bob
o5bo8bo44b3o71bobo3bo16b3o16bo78bo31bob3obobob3obo$97b3o12bo120b3o29bo
88bo22bo46bobo3bo20bo14bobo77b2o30bo4bobobo4bo$98bo13b2o37bo6bo75bo
109bo8b2o9bo11b2o42b2obobo3bo20b2o14bobo76bobo31b3obobobob3o$151b3o4bo
bo182bobo17b2o11bobo41b2obo2b4obo23bo11bo113bob2obo2bo$118bo35bo2bobo
101b2o72bo3b2o2bobo17bobo58bobo3bobo6b2o12bo2b2o4b2o4b3o115bobo$118b3o
32b2o4bo101b2o71bobo2bo2b2ob2o73b2ob2o2bo2bobo6b2o12bobo6b2o6bo15b2o
98b2o$104b2o15bo198b2o12bobo3bobo78bobo2b2o3bo21bo32b2o$104bo15b2o11b
2o89bo57b2o8b3o26bo13bob4o2bob2o62b2o10bobo$105bo27b2o89b3o54bobo10bo
26bobo13bo3bobob2o36b2o24b2o11bo24b2o$104b2o121bo55bo9bo28b2o12bo3bobo
40bobo4bo55bo2bo94bo$226bobo106bo3bobo41bo5b2o55bobo4b2o3b3o82bob2ob2o
$90b2o30b2o103bo18bo88b2o3bo48bobo55bo4b3ob4o2bo80bo2bo3bo$91bo28b3ob
2o118b3o67b2o119b2o16b2ob2o4bo79b2obobo$91bob2o25bobob2o117bo70bo120b
2o5b3o4bo4b4obob2o82b2o2bo$92bo2bo22b2obo106b2o13b2o19b3o3b3o39bobo
129bo3b2o4b2ob4o54bo26b3o4b2o5b2o$93b2o72b2o59b2o36bo5bo39b2o34b2o91bo
3bobo3bo2b6o5b2o49bo25bo2bobo2bo4bo2bo$108b2o7bo38b2o10bo96bo5bo65b3o
8b2o91b2ob3ob4ob2obo3bo3bo2bo46b3o26b3o4bo5bobo$108b2o35b2o11bo9bobo
168bo23b2o76b2o2b2o2b2o2bo5bobo3bobo7b2o63b3o2bobo2bo6bo$146bo9b2o5b2o
4bobo159b4o3bo23bo2bo69bo6b5o5b2o4b2ob2o3bo8bo64bo2b2o4b2o$143b3o11b4o
4bo4bo3b2o4bo7bo103bo37b2o31b2obo68bo6b3ob2o3b3o4b2o13bobo17bo47bo3b2o
2bo11b2o$143bo14b3o13b2o4b3o3b2o103bobo35b2obo2bo30bo67bobo7b3o4b2ob3o
2b2o12b2o16b3o48b2obobo13bo$117bo3b2o33bo3bob3o18bo4b2o102bo37bobob2o
30b2o73b7o3b2ob4o6bo25bo52bo2bo3bo11b3o$116bobo3bo33bobobobo19b2o3bo
143b2obo100b3o3b3o3b4o5b4o3b3o3b3o18b2o51bob2ob2o14bo$115bobo3bo12b2o
13b2o7bo3bo106b2o61b2o18b2o43b3o42bo6b4ob2o3b7o78bo$111b2obobo3bo13bob
o11bobo11bo60b2o43bobo18b2o12b2o18b2o27bo44bo34b2o12b2o2b3ob2o4b3o7bob
o5b2o$111b2obo2b4obo13bo11bo9bo2bo61b2o39bo5bo17bo2bo10b3o18b2o11b2o
15bo44bo32bobo13b2o4b3o3b2ob3o6bo6b2o$115bobo3bobo12b2o9b2o9b2o104b2o
23bobo9bo3bo30bo15b2o5bo42b2o27bo8bo3b2ob2o4b2o5b5o6bo69b2o$111b2ob2o
2bo2bobo139bobo22b2o2b2o8b4o31b3o18b3o40b2o27b2o7bobo3bobo5bo2b2o2b2o
2b2o75bo$112bobo2b2o3bo27b2o128bo9b2o2bo7b3o34bo17bo2bo42bo35bo2bo3bo
3bob2ob4ob3ob2o21b3o49bobo$100b2o10bobo34bobo127b3o6b2o2b2o62bob2o80b
2o5b6o2bo3bobo3bo20bo3bo48b2o$100b2o11bo35bo118b2o8b5o6bobo6bo3b2o40b
2o9b2ob2o86b4ob2o4b2o3bo22bo3b2o4b2o$148b2o34b2o83b2o7b2ob3o4bo2bo6bo
3b2o41bo10bo35bo7b2o42b2obob4o4bo4b3o5b2o12bo10b2o$196b2o70bo10b2ob2o
5b2o10bo3bo25b2o12bobo43b2o7bobo41bo4b2ob2o16b2o12bo2bo17b2o28b2o$155b
2o27bo3bo8bo83bo16b2o5b2o24bo14b2o8bo2bo2b2o27bobo6bo43bo2b4ob3o4bo24b
o20b2o27bo2bo$156bo17b2o13bo7bobo33bo4b2o58b2o10b2o20bo23bo7bo81b3o3b
2o4bobo15b2o7bo3b2o43bobo$153b3o19bo8bo5bo7bobo31bobo3b2o7bo5bo5b2o39b
o9bobo18b2o23bo2bo2b2o93bo2bo15b2o8bo3bo44bo$153bo18b3o9bo5bo9bo2b2o
27bobo12b2o4b2o3bobo32b2o17bo47bo97b2o27b3o$172bo11bo5bo9bo2b2o25b2obo
b2o9bobo3bobo5bo31bobo10b2o5b2o3b2o37b2o3bo5b2o96b2o42bo$185bo3bo29bo
9bo3bo3bo54bo12bo12bo38bo3bo5b2o45bo38bo12bo30b3o9b2o$186b3o8bo19b3o9b
ob2ob2obo35b2o16b2o13b3o9bob2o79bo11b2o28b2o6bobo12bobo27bo3bo7bobo$
178b2o18bo17bo13bobobobo36b2o33bo10bo2bo7bo69b2o11bobo27b2o4b2o2bo13b
2o6b2o3b2o13bo5bo29b2o7b2o$177bobo37bo102b2o9b2o24b2o3bo37bobo48bo22bo
bo3bobo11bo3bo3bo28b11o$177bo35bo3bo61b2o8b2o39b2o3b2o20b2o2bo93b2o17b
o7bo11bo7bo27bo4b3o4bo$176b2o34bo66b2o8bo45b2o118bo18bo3bo3bo11bobo3bo
bo28bobobobobobo$215bo29b2o8b3o29bobo166b3o16bo5bo13b2o3b2o6b2o23bo5bo
$55bo11b2o69bo11b2o27b2o30bo4bo27bobo10bo29b2o68bo2b2o58b2o36bo17bo3bo
27bobo18bob3obobob3obo$54bobo10b2o68bobo10b2o26bobo29bo5b3o27bo9bo99bo
63bobo4bo49b3o30bo18bo4bobobo4bo$46bo3b2o2bobo72bo3b2o2bobo38bo30bo6b
2o126bo3b2o12bo57bo5b2o16bo65b2o18b3obobobob3o$37b2o6bobo2bo2b2ob2o62b
2o6bobo2bo2b2ob2o36b2o30b4ob3o56b2o68bobo3bo12bo63bobo15bobo40b3o42bob
2obo2bo$37b2o6bobo3bobo66b2o6bobo3bobo73b2o3bo56bobo67bobo3bo6bo6bo81b
2o40bo3bo8b2o15bo20bobo$46bob4o2bob2o71bob4o2bob2o8b3o32b2o86bo65b2obo
bo3bo8bo5bo123b2o3bo7b2o13b2o21b2o$48bo3bobob2o73bo3bobob2o7bo2bo33bo
16b2o29b3o35b2o65b2obo2b4obo120b2o20bo22b2o$47bo3bobo76bo3bobo11bo33b
3o16bobo31bo106bobo3bobo7bo2bo9bo98b2o17bo2bo52b2o$46bo3bobo76bo3bobo
16bo29bo18bo32bo103b2ob2o2bo2bobo7b2o10bobo107b2o10bo52b2o15bo$46b2ob
2o78b2o3bo9b5o3bo47b2o10b2o7b2o116bobo2b2o3bo20bobo2b2o3bo99b2o4b2o3bo
70b3o$144b3ob2o2bo60bo7b2o104b2o10bobo27b2ob2o2bo2bobo104bo3bo74bo$
144bo6b2o57b3o114b2o11bo32bobo3bobo12b2o91b3o74bobo$146bo4b2o2bo54bo
158b2obo2b4obo13bo169bobo$59b2o87bo2bo2bobo119b2o91b2obobo3bo13bobo
170bo$59b2o87b2o67b2o58bo95bobo3bo12b2o103b2o$37bo36b2o80bobo58bo14b2o
40b3o97bobo3bo7b2o44b3o60b2o$36b3o34bo2bo79bo2bo55bobo13bobo40bo100bo
3b2o7b2o44bo$35bo2b2o34b2obo79b2obo53bobo10bo5bo166b2o33bo49b2o$27b2o
5b2o3b2o36bo32b2o48bo49b2o3bo11b2o70bo90bo10bo37b2o45bo93b2o$27b2o6bob
o2bobo27bo6b2o31b2o48b2o48b2o14bobo70b3o88bo10bobo34b2o43b3o45b2o47b2o
$36b2o3b2o26b2o231bo63b2o17bo4bo11b2o12bo23bo42bo46bobo$63b2o4bobo74b
2o120bo32bobo57bo4b2o17bo26b2ob2o113bo$63bo53b2o27bo84b2o35b3o30bobo
47b2o8b2o26bo22b6o111b2o26b2obo$48b2o14bo51b3o12b2o14bo84b2o37bo30bo
47bo2bo6bobo50b4o12bo7b2o118bob2o9bo$48bobo12b2o49bo16bobo12b2o48bo34b
o38b2o14b2o61bob2o36bo38b2o7bobo103b3o21b4o$50bo62bobo17bo61bobo88b2o
61bo39bobo36bobo6bo92b2o13bo24bo$50b2o41bob2o15bo2bo17b2o60bobo150b2o
39bobo90bo46bo2bo2b2o6b3o19bo4bo$93b2obo16b2o78b2obob2o16bo5b2o75bo
182b3o45b2o2bobo27bo$56bo82bo42bo9bo3bo3bo15b2o3bobo76b2o15b2o43b2o30b
3o88bo46b2o10bo5b2o18bo$56b3o34b3o3b2o17bo20b3o38b3o9bob2ob2obo14bobo
5bo75b2o16b2o44bo32bo28b2o57b2o46bo9b3o5bo14bo2bo6b2obo$42b2o15bo33bo
2bo2bobo15bo2bo4b2o15bo14b2o20bo13bobobobo155b3o4bo15b2o14bobo27bo2bo
23bo77b2obo2bo4b3o8b3o12b3o6b2ob3o$42bo15b2o11b2o22b2o3bo17bobo4bo15b
2o14bobo19b2o174b3o4b2o15bo14b2o28bobo23b2o27b2o48bob2obobo4b2o10bo27b
o$43bo27b2o34b2o10bo6bo30bob2o133b2obo57bo20b3o43b2o2b2o22bobo25b2o53b
obo39b2ob3o$42b2o63bo17b2o31b2o118bo15bob2o78bo44bo2b2o54bo49b2o2bo39b
o2b2o$105bobo50bo117b6o68b2o7bo62b2o2b2o100b3ob2o39bobo$28b2o71bo3b2o
4b2o154b2o7b2o2b2o68b2o7bo10b2o52bobo100bo44bobob2obo$29bo63b2o5bobo9b
o38b2o30bo11bo12b2o8b3o45bo2bo2b2o30b2o44b2o18bo53bo2bo66b2o32b3ob2o
21b2o16bo2bob2o$29bob2o59bo2bo7bo8bob2o37bo28b3o10bo11bobo10bo46b2o2bo
bo6bo6b2o15b2o46bo15bobo12b2o40b2o30b2o28b2o5bobo33bob2o22bo19bo$30bo
2bo22b4o32bobo5bo2bo9bo2bo8bo55bo3b2o9b2o11bo9bo49b2o5b2o2bo6bobo64b2o
12b2o14bo72bobo4bo22b2o7bo59bobo16b2o$31b2o27bo32bo7bob2o9b2o7bobo55bo
bo2bo5b3obo72bo6b2o3bo7bo22b2obo38b2o27bo29b2o42bo5b2o31b2o42b2o15b2o
13bobo2b2o$46b2o8bo4bo41b3o18b2o3b2o51b5o5bo2bo70b2obo2bo7bo8b2o21b2ob
3o65b2o28b2o48bobo74b2o30b2o2bo2bo$46b2o9b2obo21b2o16b2ob2o24b2o34b2o
25bo2bo70bob2obobo4bobo37bo164bo93b2o$59bo21bobo16b2o2bo47b3o9bobo23bo
79bobo6bo32b2ob3o29b2o48b2o83bobob2o$81bo19b3o60bo24bobo47b2o26b2o2bo
39bo2b2o31b2o48bo84bobobobo59b2obo$80b2o20bo11bo37bo10b2o10b2o7b2o3bob
o47bobo23b3ob2o39bobo45bo35b2obo43b2o36b2obobobobo2bo56bob2o$55bo3b2o
51b3o23bo3b2o7b2o23bo7b2o4bo48bo24bo27bo16bobob2obo76bo2bo44b2o36bo2bo
2b2ob4o$54bobo3bo31b2o17bo25bobo3bo7b2o20b3o89b3ob2o21b3o15bo2bob2o41b
o34b3o85b2o4bo$53bobo3bo12b2o19bo17b2o23bobo3bo12b2o16bo93bob2o24bo17b
o72bo4bobo93bobo37b2o$49b2obobo3bo13bobo15b3o39b2obobo3bo13bobo136b2o
16b2o71b4o3b2o94b2o37b2o$49b2obo2b4obo13bo15bo41b2obo2b4obo13bo119b2o
30bobo2b2o67bo2bobo2bo$53bobo3bobo12b2o38b2o20bobo3bobo12b2o118b2o30b
2o2bo2bo65bob2o2bo$49b2ob2o2bo2bobo52bobo15b2ob2o2bo2bobo169b2o65b3ob
2o2bo27bo140b2o$50bobo2b2o3bo55bo16bobo2b2o3bo51b2o169b2o3bo8bo6b3o27b
3o51b3o84b2o14b2o$38b2o10bobo63b2o14bo2bo58bobo88b2obo77bo3bobo11bo2b
2o31bo50bo71bo30bo$38b2o11bo66bo5b2o7b2o55bo5bo88bob2o8b2o68bo3bobo12b
2o19b2o10b2o51bo69bobo30b3o$118bo5bo65b2o176bo3bobob2o4bo3b3o19bo67b2o
64bobo8b2o22bo$107b2o7bob2o5b3o5b2o24b2o28bobo174bob4o2bob2o6bo2bo20bo
bo64b2o66bo8b2o$96b2ob2o5bo2bo6b2o2bo6bo5bo16bo8b2o103b2o38b2o51b2o6bo
bo3bobo35b2o66bo66b3o7bo$97bobo6bobo10b2o10bobo15bobo112b2o30b2o6bobo
7b2o41b2o6bobo2bo2b2ob2o48b2o3bo114bo$96bo2bobo5b4o20b2o16bobo42b2o99b
obo6bob2o6b2o50bo3b2o2bobo49b3obob2o5bo$96b2o2b2o6b3o36b3ob2o20bo21b2o
38b2o4bo7b2o44bo9b2o67bobo10b2o6bo30b3o4bo4bobo130bo$109bobo16bo17bo
24b3o20bo41bo2b3o7b2o44bo2b4o3bo69bo11b2o6b3o31bo3bo4bobo128b3o$127bob
o10bo6b3ob2o17bo57bo3b2o2bobo57bobobo55bo11b2o28bo31b3o6bo13b2o113bo$
99b2o25bo13b3o6bob2o17b2o55bobo2bo2b2ob2o40bo16b2o56bobo10b2o27b2o31bo
23bo113b2o$99bobo24bo3b2o11bo35bo5b2o26b2o12bobo3bobo43bobo65bo3b2o2bo
bo96bobo$100bo4b2o18b2obo3bo9b2o35b2o3bobo27bo13bob4o2bob2o39bobo56b2o
6bobo2bo2b2ob2o71b2o23b2o10b3o$105b2o18bo5bo35b2o9bobo5bo27bobo13bo3bo
bob2o40bo57b2o6bobo3bobo43b2o30b2o6b2o26bo3bo$125bobobo37b2o46b2o12bo
3bobo3b2o40b3o63bob4o2bob2o34bo4b3o22b2o13b2o4b2o16bo3b2o3bo16bo$127b
2o38b2o59bo3bobo5b2o41bo15b2o48bo3bobob2o33bobo5bo22bo19bobo16bo6b3o
15b2o$104b2o122b2o3bo5b2o58b2o47bo3bobo37b2o30b3o14b3o25bo6b2o9bobo60b
2o$56b2o11bo35bo101b2o31bo2b2o102bo3bobo46b3o23bo10b2obo3bo24b2o5b2o3b
2o68bo$56b2o10bobo31b3o102bo33b4o40b2o60b2o3bo47b2o35bob2o2b2o24bo10bo
2bo67bobo6bo$68bobo2b2o3bo23bo27b2o73bobo34bo2b2o38b2o15bo86b2o2b2o5b
2o4bobo71bobo69b3ob2o2bo$67b2ob2o2bo2bobo49bo2bo35b2ob2o32b2o95b3o84bo
2bobo12bo70b2o2b2o7b2o61b2o5bo3bo$68bo2bobo3bobo12b2o34b2ob2o34bo4bo
27bo104bo45b2o37bobo51b2o19b3o9bo2b2o9b2o61b2o2bobo2b2o$68b3o2b4obo13b
o24b2o11bo24b2o10bo4bo26b4o53b2o30bo15bobo43bobo7b2o27b2ob2o15b2o28bo
4b2o19bo2b2o8b2o2b2o7bo9bo52b3o3bo3bo4b2o$68bobobo3bo13bobo21bo3bo36bo
13b2o26b2o3b2o51bo2bo30bo14bobo45bo7b2o39bo7bobo26bobo25b3o11bobo7b2ob
2o5b2o50b3ob3o3bobo4b2o$67bo3bobo3bo12b2o22b4o38b3o25b2o10bo3bo55b2obo
29b2o14bo35bo33b2o23bo2bo7bo26b2o27bo12bo2bo4bobob2o6bobo48bobo8b3o$
72bobo3bo30b2o47bo25b2o10bo3bo58bo16bo4b2o12bo44b3o31bo2bo23b2o8b2o36b
obo29b2o6b3o4bo54bo$67bo5bo3b2o30b2o5b2o78b2o2bo58b2o13b2ob2obo2b2ob2o
7bo43bobobob2o28b2obo70b2o41bo4bo52b2o$62b6o48b2o16b2o62bo3bo71bo4b2o
4bo2bo7bo31b2o8b2o3bob2o31bo56b2o2b2o9bo40bo4bo$62b2o71bo70bo38b2o27bo
bo2b4o5b3o3b2o32b2o9b2obo2bo32b2o55bo2bobo5bo41bo8bo$62bo2bo66b3o72b2o
7b2o27bo31b2o2b2o2b3o3b2ob2o24b2o19b2ob2obo36b2o9bo40bobo6bobo40bo7bo$
114b2o16bo73b2o8b2o11b2o15bo24b2o7bo12bo26b2o19b4ob2o16b2o6b2o9bo2bo2b
2o3bobo38b2ob2o5bo2bo6b2o112b2o$104b4o6b2o113bo15b2o23bobo70b4o17bo7bo
bo9b2o2bobo2bo3bo48b2o7bobo8b2o22bobobo75bo$49b2o52b2ob4o10b2o53b2o53b
3o37bo78b2o14bo6bo13b2o6bo2bo6b2o51bo8b2o23b3o3b2o71bobo$48bo2bo51bob
2ob2o10b2o53bobo54bo36b2o26b2obo48bobo12b2o20bo7bo2bo6bo52b2o38b2o72b
2o$47bob2o54bo2bob2o65bo119bob2o50bo31b2obo2bo5bobo7b3o82b3o$47bo56b2o
bo3b2o64b2o58b2o112b2o30bo2bobobo16bo82bobo$46b2o56b2obobobo46b2o78bo
31b2o113b2ob2o92b2o7b2o15b3o$108b3o46bobo64b2o12bobo28bo2bo2b2o30b2o
48bo124bobo23bo43bob2o$60b2o47bo43bo5bo64bo14b2o29b2o2bobo30b2o48b3o
124bo24bo42b2obo$61bo27b2o7bo54b2o39b2o29bo46b2o16b2o51b2o15bo123b2o
27b2o$60bo15b2o11b2o7bobo51bobo39b2o28b2o46bo17bo24b2obo24bo15b2o11b2o
76b2o60b2o25b2o20b2o$60b2o15bo20b2o169b2obo2bo15b3o21b2ob3o23bo27b2o
76bo63bo24bobo19b2o$74b3o133b2o48b2o7bob2obobo16bo27bo21b2o106b3o80bob
2obo2bo$32b2o40bo82b2o45bo6bo48b2o11bobo39b2ob3o132bo49b2o27b3obobobob
3o$31bobo68b2ob2o51b2o44b3o4bob2o55b2o2bo39bo2b2o10b2o172bo27bo4bo3bo
4bo$25b2o4bo36b2o30bo2bobobo16bo32bo49bo4bo2bo16bo3b2o30b3ob2o39bobo
14bo97bo12bo59bobo27b2ob2ob3ob2ob2o$23bo2bo2b2ob4o32bo31b2obo2bo15b3o
72bo8b2o5b2o14bo3bob2obo28bo44bobob2obo10bob2o22bo69b3o11b3o41b2o15b2o
29bo2bobobobo2bo$23b2obobobobo2bo30bobo12b2o20bo17bo38b2o34bobo29bo2bo
bo4b2o28b3ob2o21b2o16bo2bob2o11bo2bo20bo2bo44b2o20bo13b2o2bo40b2o46bob
o7bobo$26bobobobo33b2o14bo20b2o16b2o19bo5b2o10bobo25bo3b2o2bobo29b2o2b
3o2b2o31bob2o22bo8b3o8bo15b2o21bo3bo43b2o19bobo12bo3bo15bo73bob2o3b2ob
o27b2o$26bobob2o49bo19b2o2bobo34b2o3bobo12bo24bobo2bo2b2ob2o33b2o61bob
o8bo7b2o30b2o6bo3bo37b2o25bobo12bob2o14b3o72b2ob2obob2ob2o26bo$27bo53b
2o17bo2bo2b2o33bobo5bo12b2o9b2o12bobo3bobo84b2o15b2o7bo5bobo2b2o28b2o
5b2o3bo37b2o26bo13b2o15bo44b2o32b7o27bobo$101b2o71bo13bob4o2bob2o80b2o
30b2o2bo2bo35bo2bo63bo33b2o43bobo21bo11b3o29b2o$40b2o3b2o48b2o77bobo
13bo3bobob2o37bo3b2o58b2o14b2o100bo83bo20b2o$31b2o7bo4b2o48bo79b2o12bo
3bobo40bobo3bo58bob3o93b2o17bob2o29b4o48b2o19bobo$31b2o5bobo28bo22b2ob
o92bo3bobo40bobo3bo46b2obo9b2o2bo50bo3b2o30b2o5b2o16bo4bo28b3obo35b2o$
38b2o27b3o21bo2bo93b2o3bo37b2obobo3bo41b2o4bob2o10b3o50bobo3bo30b2o15b
2o2b3o2bobob2o28b2o37b2o44bo13bo$67b3o22b2o73b2o62b2obo2b4obo38b2o20bo
50bobo3bo12b2o34b2o2bo4bobo69bo14b2o28b2obo12b3o$66bo3bo6b2o88bo67bobo
3bobo6b2o31bo66b2obobo3bo13bobo37b3obo72b3o7b2o2bo2bo25bo5bo14bo$9bo
57b4o6b2o22b2o62bobo63b2ob2o2bo2bobo6b2o15b2o81b2obo2b4obo13bo41bo2bo
70bobo6bobo2b2o25bo4b2o14b2o$9b3o55b2obo30b2o62b2o34b2o29bobo2b2o3bo
24b2o85bobo3bobo12b2o39b2o2bob2o6bob2o51b2o4b2o10b2o29b2o$12bo22bo165b
2o29bobo115b2ob2o2bo2bobo58bo8b2obo52bo6bo10bo$11b2o21b2o7bo146bo25b2o
5b2o8bo117bobo2b2o3bo55b3o63b3o7bo7bo2bob2o33b2o$28b2o4bobo6b3o18b2o3b
o118b2ob2o22bo2bo4bo74b2o39b2o10bobo64b2o39b2o22bo11bo4bobob2obo33bobo
$29bo16bo17bo3bobo74bo39b5o26b2obo4b3o71b2o14b2o23b2o11bo66bo34b2o2bo
2bo39bobo39bo13bo$3b2o21b3o16b2o18bo3bobo72bobo38bo2bo30bo6bo56bo30bo
124b2o13bobo2b2o41bo2b2o36b2o11bo17b2o$3bo22bo39bo3bobob2o69bo39bo2bo
30b2o61bobo30b3o120bobo16b2o44b2ob3o48bo16bo$2obo53b2o5bob4o2bob2o110b
2o94bobo32bo94bob2o22bo19bo50bo62bobo$o2b3o4b2o45bo5bobo3bobo133b2o76b
o126b3ob2o21b2o16bo2bob2o41b2ob3o54b2o7b2o$b2o3bo3b2o46b3o2bobo2bo2b2o
b2o40b2o58b2o27bo78b3o60bo11b2o37b2o9bo44bobob2obo41b2obo49bo6bobo$3b
4o53bo3bo3b2o2bobo41b2o38b2o18b2o11b2o15bo79bo59bobo10b2o37bobo9b3ob2o
39bobo71b2o24b2o8bo$3bo15b2o51bobo10b2o68bo2bo30bo15b2o131bo3b2o2bobo
51bo4b2o5b2o2bo39bo2b2o34b2o33bo23b2o7b3o$4b3o12bobo33b2o16bo11b2o66bo
2bobo31b3o144bobo2bo2b2ob2o46b4ob2o2bo2bo6bobo39b2ob3o32b2o33bobo22b2o
2b2o$7bo13bo26b2o5bobo95b2o2bo34bo19bo110b2o12bobo3bobo50bo2bobobobob
2o2bob2obobo16bo27bo67b2o23b2obo$2b5o14b2o25b2o7bo63b2o30b2o56b3o110bo
13bob4o2bob2o49bobobobo5b2obo2bo15b3o21b2ob3o48b2o23bo8b3o9bobo$2bo54b
2o61bobo30b2o42b2o11bo2bo110bobo13bo3bobob2o50b2obobo8bo17bo24b2obo24b
ob2o22bo23bobo7bo$4bo76bo34bo5bo30bobo42bo11b2obobo109b2o12bo3bobo58bo
9b2o16b2o51b2obo20bobo23bobo8bo$3b2o39bo35bobo4b2o27b2o35bo2bobo25b2o
12bobo12bo124bo3bobo67b2o2bobo30b2o58b2o25bo$43bobob2o31bobo4b2o26bobo
33b2obobo2bo24bo14b2o13bobo121b2o3bo12b3o31b2o19bo2bo2b2o30b2o$43bobob
obo29b2ob2o12bo56bo5bo3b2o20bo30bo93b2o43bo3bo31bo7b2o11b2o144b2o$40b
2obobobobo2bo26bo14b3o66bobo18b2o25b6o93b2o43b2o3bo30bobo5b2o157b2o33b
o$40bo2bo2b2ob4o6bo20bob2o9bo52b2o17bo45b3obo60bo11b2o71bo30b2o45bob2o
5b2o141b3o$42b2o4bo10b3o16bobob2o9b2o50bobo10b2o5b2o3b2o48b2o53bobo10b
2o68bo2bo49b2o26b2obo4bobo140bo$22bobo23bobo11bo15b2o65bo12bo12bo48b2o
45bo3b2o2bobo25b2o56bo50bo36bo75b2o63b2o$23b2o24b2o10b2o81b2o13b3o9bob
2o8bo26b3o53bobo2bo2b2ob2o24b2o50b2o3bo5b2o44bobo110b2o$23bo116b2o20bo
9bo2bo5bobo25b3o40b2o12bobo3bobo80bo3bo5bo2bo44b2o47b2o29bo43b3o6b2o$
86b3o22b2o27bo18b3o11b2o7b2o26bobo40bo13bob4o2bob2o27b2o48b3o7b2obo92b
2o19bo8bobo41bo3bo5bo51b2o$36b2o47bo2bo21bobo25bobo16b3o28b2o20bob2o
39bobo13bo3bobob2o27b2o61bo113b2o7bobo40bo4bo3bobo52bo$36bo48b3o24bo
25b2o16bo31b2o19b2obo41b2o12bo3bobo94b2o23b2o6b2o35bobo40bobo8bo40bo3b
2o4b2o53bob2o$37bo118b2o109bo3bobo40b4o77b2o5bo29bo6b2o49b3o41bo56b2o
4b3o2bo$36b2o52bo117bo2bo55b2o3bo40bo41b2o37bo8b3o27bo5b2o49bo43bobo
54b2o3bo3b2o$90bob2ob3o30bo34b2o74b2o71bo4bo8b2o27bo49bo41bo81bob2o2b
2o59b4o$22b2o69bobo2bo18b2o7b2o3b3o29bo33bo3b2o9b2o25b2o72bob2o9b2o11b
2o15bo78bo10bobo78b3ob2o49b2o15bo$23bo68b2o5bo17b2o7bo4bo29bobo32bobo
3bo7bo2bo52b2ob2o43bo24bo15b2o76bo2bo9bobo77bo54bobo12b3o$23bob2o25bo
2bo40bo2bo26bo2bo2b2o27b2o32bobo3bo8b3o51b2o4bo9b2o58b3o91bobo10bo79b
3ob2o48bo13bo$24bo2bo21b2obo2b2o39b2o29bo63b2obobo3bo70b2o7b2o60bo66bo
25bo8b3o49b2o31bobo48b2o14b5o$25b2o22b2obo4bo38b2o30bo35b2o25b2obo2b4o
bo61bo4bob2o22b2o111bo18b2o15bo50bobo31bobo68bo$40b2o7b2o43bob2o66bo
30bobo3bobo6b2o53b2o2bob2o21bo2bo49b2o59b3o16b2o68bo32bo67bo$40b2o9bo
4b2o36b3o45bo19bobo26b2ob2o2bo2bobo6b2o23b2o29bo2bo25b2obo49bo204b2o
43b2o$51b2ob2o39bo11b2o31bobo19b2o28bobo2b2o3bo32b2o61bo35b2o12bobo39b
2o156b2o2bo2bo$107bo33b2o37b2o10bobo103b2o34bo14b2o40bo141b2o13bobo2b
2o$78bobo24bobo46b2o24b2o11bo141bo55bobo138bobo16b2o$49bo3b2o23b2o25b
2o30b2o14bo2bo12bo114b2o48b2o56b2o138bo19bo27bobo$48bobo3bo22b3o21b2o
34b2o3bo10b3o11b3o18bo66b2o27bo246b2o16bo2bob2o24b2o$47bobo3bo22b2o23b
obo37bobo10bo11bo19b3o66b2o11b2o15bo34b2o48b2o176bobob2obo25bo$43b2obo
bo3bo17b2o5bo24b2o38bobo21b2o17bo82bo15b2o35bo48b2o24b2o151bobo$43b2ob
o2b4obo15bobob3o67bo40b2o82b3o49bob2o70bo2bo133b2ob2o13bo2b2o33bo$47bo
bo3b2o8b2o7bobo52b2o15b2o10bo114bo50bo2bo70bobo31bo102bob2o14b2ob3o29b
3o$43b2ob2obobo11b2o7b2o53b2o27b2o34b2o129b2o72bo33b2o100bo23bo27bo$
44bobo2bob3obo44b2obo2bo24bo16bo43bo35bo11b2o34b2o152b2o99b3o17b2ob3o
28b2o$44bobobobo3b2o44b2ob4o23bobo13b3o41bobo34bobo10b2o35bo61bo190bo
3b2o15b2obo24bobo$43b2obobobobo69bo3b2o2bobo12bo44b2o27bo3b2o2bobo33b
2o12bobo58b3o189b4o2bo36b2o4bo$26b2o15bo2bobo2bob3o39b2o3b2ob2o16bobo
2bo2b2ob2o11b2o71bobo2bo2b2ob2o32bo14b2o11bo43b3ob2o192bob2o6b2o28b2o
4b2ob2o$26b2o17b2ob2obobo2bo7b2o13bo15b2o4bob2o2b2o12bobo3bobo53bo9b2o
9b2o12bobo3bobo37bo25b3o42bo55b2o7b2o128b3o2bo7b2o37b2o$49bobo3bobo6b
2o13b2o20bo6bo13bob4o2bob2o8bo39b2o9bo11bo13bob4o2bob2o32b2o20bo3b2ob
2o53bo3b2o38b11o127bo5bo$45b2obo2b4obo21bobo19b2o6bobo13bo3bobob2o8bo
39bo8bobo11bobo13bo3bobob2o28bo24bobo6b2o51bobo3bo37bo4b3o4bo127b6obo
50b2o$45b2obobo3bo54b2o12bo3bobo7b3o51b2o13b2o12bo3bobo22b2o9bo38b2o
44bobo3bo39bobobobobobo134b2o38bo10bo2bo$49bobo3bo66bo3bobo8b3o14bo3b
2o21bobo35bo3bobo24bo7b3o31b3o4b2o40b2obobo3bo42bo5bo130b2ob2o40b2o5bo
bo3bobo$50bobo3bo65b2o3bo8bo15b2o4bo20b2o2bobo33b2o3bo25bob2o38bo48b2o
bo2b4obo5b2o29bob3obobob3obo127bobo40b2obo4bobo3b2o$51bo3b2o44b2o33b2o
3b2o11b2o3b3o4b2o11b2obo3bo11bo52bo2bo90bobo3bobo5bo29bo4bobobo4bo82b
2o43bobo39b2o10bob3o2b2o6b2o$101bo39b2o10bo7bo4b2o3bo6bo3bo2b2o9b3o53b
2o63b2o3b2o17b2ob2o2bo2bobo2b3o31b3obobobob3o83bobo43bo5b2o16b2o15bobo
bo8bob4ob2o5b2o$99bobo39bo28bobo6b2ob2o11bo22b2ob2o44b2o19b2obo25b2o2b
ob3o16bobo2b2o3bo3bo35bo2bob2obo87bo4b2o44b2o15b2o16b3o7bob4ob2ob2o$
47b2obo48b2o39bo3bo26bobo7b2o12b2o19b2o4bo9b2o33b2o19bo2bo29bo4bo3b2o
10bobo48bobo5bobo3b2o75b4ob2o2bo2bo41bo31b2o2bo2bo11bobo3b2o$42b3o2b2o
2bo92bo28bo49b2o7b2o55b3o25b4ob2o2bo3b2o11bo50b2o6b2o2bob3o35bo37bo2bo
bobobob2o72bo2b6o6bobob3obobo$43b2o6bo98b2o21b2o41bo4bob2o22b2o68bo2bo
bobob2o78bo4bo34b2o39bobobobo66b2o7bob5ob2o9bo$27b2o15b2o4b2o43b2o52bo
2bo64b2o2bob2o21bo2bo70bobobobo30b2o43b4ob2o2bo33bobo40b2obobo67bo8bo
2bobo24b3o$26bo2bo19bo24bo3b2o13b2obo53b2obo64bo2bo25b2obo25bo3b2o39b
2obobo31b2o42bo2bobobob2o79bo48bo19bobo10b2obo22bo$25bob2o17b2o25bobo
2b2o13bo59bo96bo24bobo3bo43bo31bo16bobo28bobobobo128bobo19b2o9bo28bo$
25bo48bo18bobo57b2o95b2o22bobo3bo94b2o28bo3bobo66b2o60bobo28b2o2bobo
16b2o3b2o$24b2o68b2o2bobo37b2o130b2obobo3bo31b2o62bo34bo68bo7b2o52bo
24b2o31b2o$39b2o58b2o38bo96b2o32b2obo2b4obo5b2o23bo92bobo16bo54bobo5b
2o49b3o25b2o3b2o16bobo2b2o$39bo59bo10b2o24b3o68b2o27bo37bobo3bobo5bo
23bobo81b2o27b2o53b2o56bo25bo28bo9b2o$40b3o67b2o11b2o11bo70b2o11b2o15b
o32b2ob2o2bo2bobo2b3o25b2o82bo6bobobo15b2o33b2o105bo22bob2o10bobo$42bo
10b2o68bo96bo15b2o33bobo2b2o3bo3bo34b3o74bobo4b5o49bobo103b3o24bobo2bo
8bo$52bobo19b2o48b3o55bo4b2o32b3o35b2o10bobo124b2o2b2obo4b2o48bo117bo
9b2ob5obo7b2o$52bo21bo51bo55bobo2bo35bo35b2o11bo39bo7bo2bo16bo62b2o2bo
4bo159bobob3obobo6b6o2bo$51b2o22bo105bobo4b3o119b3o8b2o15b3o63bobo163b
2o3bobo11bo2bo2b2o$74b2o55b2o50bo6bo37b2o79bo27bo59bo6b2o5b2o12bo145b
2ob2ob4obo7b3o$46bo85bo96bo79b2o26b2o56b3o6b5o14b3o64b2o73b2o5b2ob4obo
8bobobo$44b3o27b2o56bobo80b2o12bobo91b2o69bo11bo15bo51bo15bo21bo52b2o
6b2o2b3obo10b2o$43bo29bobo46bo10b2o80bo14b2o11bo79bo70b2o26b2o48b3o16b
3o16b3o64b2o3bobo4bob2o$30b2o11b2o11bo17bo13b2o30b3o93bo25b3o79b3o81b
2o61bo21bo8bo6bo66bobo3bobo5b2o$19b3o8b2o24b3o16b3o10b2o29bo95b2o20bo
3b2ob2o80bo81bo62b2o30b2o4b2o65bo2bo10bo$21bo37bo17bo41b2o90bo24bobo6b
2o162b3o90b2o73b2o$14b3o3bo37b2o44b2o48b2o45b2o9bo38b2o158bo55bo$73b2o
30bo48b2o46bo7b3o31b3o4b2o46b2o26b2o139b2o113b2o$10b2o5bo55bo31bob2o
93bob2o38bo53bobo5b2o18bobo5b2o120bo10b2o114b2ob2o4b2o$10bo3bob2o52b2o
bo32bo2bo16b3o74bo2bo91bo7b2o18bo7b2o48b2o26b2o37b2ob2obo129bo4b2o$16b
o52bo2bo34b2o15bo3b2o74b2o91b2o26b2o56bobo5b2o18bobo5b2o29bo3bo2bo127b
obo$11bo3bo54b2o52bobo2b2o88b2o19b2obo139bo7b2o18bo7b2o32bobob2o2b2o
36b2o79b2o$13b2o108bo5bo89b2o19bo2bo67bo27bo42b2o26b2o39bo2b2o4bobo5b
2o28bobo5b2o73bo$60b2o62bo2b2o112b3o63b2obobo22b2obobo102b2o5b2o4b3obo
7b2o28bo7b2o70b3o$60b2o62bo181bobobobo21bobobobo55bo27bo17bo2bo4bo2bob
o2bobo36b2o79bo$14b2o44bo242bo2bobobobob2o15bo2bobobobob2o48b2obobo22b
2obobo16bobo5bo4b3o2b2o$14b2o39b3o73bo3b2o91bo3b2o69b4ob2o2bo2bo15b4ob
2o2bo2bo47bobobobo21bobobobo17bo6bo2bobo2b2o2bo10bo37bo$42b2o3bo7bo2bo
71bobo3bo90bobo3bo73bo4b2o21bo4b2o46bo2bobobobob2o15bo2bobobobob2o21b
2o4b2o3bo7b2obobo32b2obobo$42bo3bobo6bo2bo70bobo3bo90bobo3bo72bobo25bo
bo52b4ob2o2bo2bo15b4ob2o2bo2bo9b2o11bo2b2o3b2o7bobobobo31bobobobo$29b
2o12bo3bobo6bo2bo65b2obobo3bo87b2obobo3bo73b2o26b2o57bo4b2o21bo4b2o12b
o13bobob2o2b3obo2bobobobob2o25bo2bobobobob2o$28bobo13bo3bobob2o4bo66b
2obo2b4obo85b2obo2b4obo156bobo25bobo15b3o11bo3bo2bo2bo2bob4ob2o2bo2bo
25b4ob2o2bo2bo$28bo13bob4o2bob2o8bo66bobo3bobo6b2o80bobo3bobo6b2o147b
2o26b2o16bo14b2ob2obo3b2o6bo4b2o31bo4b2o$27b2o12bobo3bobo75b2ob2o2bo2b
obo6b2o76b2ob2o2bo2bobo6b2o213bo10bobo35bobo$41bobo2bo2b2ob2o72bobo2b
2o3bo86bobo2b2o3bo233b2o36b2o$42bo3b2o2bobo61b2o10bobo82b2o10bobo$50bo
bo10b2o49b2o11bo83b2o11bo$51bo11b2o!
Meanwhile, is the construction arm demonstration with LifeViewer scripts in this post appropriate for the collection?
Why do most natural OCA rules tend to get a diminishing span of interest and go into oblivion, like a lost civilization leaving little records for its beauty and power?

I have been focusing on this rule, now in industrial era:

熠熠种花 - Glimmering Garden

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dvgrn
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Re: Suggested patterns for Golly

Post by dvgrn » January 11th, 2022, 9:27 am

GUYTU6J wrote:
January 11th, 2022, 6:39 am
Still trying to get more attention to my posts
Which ones, specifically? This one, and maybe this one (from the title!), but are there others? Sorry, I've been ridiculously busy lately, but now that the Life textbook is out the door to the printers, I can try to work through any accumulated backlogs.
GUYTU6J wrote:
January 11th, 2022, 6:39 am
Meanwhile, is the construction arm demonstration with LifeViewer scripts in this post appropriate for the collection?
Maybe so! I guess it depends on whether we want to really encourage LifeViewer scripts as part of Golly patterns, or merely tolerate them. What do people think of the LifeViewer scripts that have found their way into the collection so far?

Up to now we haven't gone as far as including any patterns that really need LifeViewer scripting, i.e., that don't make any sense without LifeViewer. Like, should we think about patterns like the Snarkmaker pattern, which as far as Golly is concerned are just an empty universe and a bunch of comments?

Maybe such things could be put in a new "LifeViewer" subfolder, or something like that.

EDIT: The B29 gun is checked in now.

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GUYTU6J
Posts: 1850
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Location: 拆哪!I repeat, CHINA! (a.k.a. 种花家)
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Re: Suggested patterns for Golly

Post by GUYTU6J » January 12th, 2022, 12:55 am

I should have replied earlier if not for the internet connection.
dvgrn wrote:
January 11th, 2022, 9:27 am
GUYTU6J wrote:
January 11th, 2022, 6:39 am
Still trying to get more attention to my posts
Which ones, specifically? This one, and maybe...
In the context of this thread, yes, I was reading old posts and that unanswered one got my curiosity arisen. There are at least three questions for the mysterious "LifeWiki Pattern Archive": 1) is it the same as the Pattern collection that can be downloaded from the LifeWiki main page? 2) how is it updated? 3) what is its current status?
dvgrn wrote:Discussion on the LifeViewer thing
I think the proposed pattern is more like those under Life/Rakes; running these in Golly without activating LifeViewer scripts are fine. As for other scripts-only demonstrations, maybe a keyword to open comments automatically upon opening the file can be used (for details see the golly suggestions thread)
EDIT: The B29 gun is checked in now.
Thanks!
Why do most natural OCA rules tend to get a diminishing span of interest and go into oblivion, like a lost civilization leaving little records for its beauty and power?

I have been focusing on this rule, now in industrial era:

熠熠种花 - Glimmering Garden

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