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Thread for your unsure discoveries

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.

Re: Thread for your unsure discoveries

Postby dvgrn » October 20th, 2017, 10:33 am

2718281828 wrote:If I got it correctly the relevant part of the 5 glider reaction is
x = 9, y = 4, rule = B3/S23
b2o4b2o$o2b2ob3o$bobo$2bo!

I looked for the resulting ash (including symmetries) in my 3G collision files, but the result is negative.

Thanks for checking! I didn't really expect anything workable would show up in the 3G collisions -- even if the ash signature had happened to show up, quite likely the reaction wouldn't have been compatible with the other half of the loafer recipe.

I have somewhat higher hopes for a workable solution with four gliders, since the search space is several orders of magnitude bigger. It seems like a good goal will be to produce a set of gencols input files, with a verified list of all the relevant 3-glider collisions of each type, say 3G-NW-NW-NE.col and 3G-NW-NE-SW.col.

Maybe sorted in order of the population of the final output, or something along those lines? That would be a good fraction of the work needed to set up a "hashseq" database and search utility. To limit the size of the database, the 3G collision files could be truncated at some reasonable point, leaving out all the almost certainly useless huge ugly explosions, and then pick a reasonable range of locations for the fourth glider.

-- Thinking about it again, it's probably worth keeping 72 separate sets of 3G collisions, 71 for the different 2G collisions and one more for all the simultaneous ones, and split each of the 72 sets up into categories along the lines of NW-NW-NE and NW-NE-SW. That allows 4G searches to be customized for each group, over time, and a lot of those could be exhaustive searches.

(Apologies -- I've wandered off into hand-waving about vaporware again.)
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Re: Thread for your unsure discoveries

Postby mniemiec » October 20th, 2017, 4:35 pm

dvgrn wrote:(Apologies -- I've wandered off into hand-waving about vaporware again.)

I wouldn't worry about that. Often enough, one person's vague vapor can turn into another person's concrete inspiration.
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Re: Thread for your unsure discoveries

Postby 2718281828 » October 25th, 2017, 4:31 pm

mniemiec wrote:I am trying to list all important methuselahs below 10 bits. (Unfortunately, I've been somewhat mind-bogglingly slow in updating my site, but things are starting to come together, it shouldn't be that much longer.)


Is there a list of all (small) methuselahs?
I know the wiki list (http://www.conwaylife.com/wiki/Category:Methuselahs) and http://codercontest.com/mniemiec/meth.htm . But the latter seems to be very hand-made and not 'complete'. E.g. the (2glider) Octomino is listed as 7-cell methuselah, but there is a 6 cell preprocessor:
x = 6, y = 2, rule = B3/S23
o$b5o!
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Re: Thread for your unsure discoveries

Postby dvgrn » October 25th, 2017, 5:24 pm

2718281828 wrote:
mniemiec wrote:I am trying to list all important methuselahs below 10 bits. (Unfortunately, I've been somewhat mind-bogglingly slow in updating my site, but things are starting to come together, it shouldn't be that much longer.)

Is there a list of all (small) methuselahs? ...

Well... in the list of related articles on that LifeWiki page, there's the List of Long-Lived Methuselahs.

That's probably about as good as you'll get for a list of "notweorthy" smallish methuselahs. If you find something that has both a smaller bounding box and a longer lifespan than the nearest entry in that table, then it might turn out to be worth adding a line to that table. In particular, some of simeks' recent discoveries should probably get added in there.

Please be warned, though: maintaining methuselah record lists is a painful and thankless task -- which is probably why simeks' results haven't been added there yet. There are too many marginal methuselahs requiring arbitrary judgment calls and decisions that (it will turn out after you've made them) no one else exactly agrees with. Personally I've generally tried to avoid the whole subject, in the hope that people will eventually shift their attention to something more interesting and less messy.

-- On the other hand, there are some really fascinating power laws dictating how long a randomly chosen pattern will stay active. So spmetimes it can be hard to look away --!

About the other link: mniemiec was talking about an update that hasn't happened quite yet, that will probably have a methuselah list that's a good bit less random and more complete. But it won't be showing up on that old codercontest.com site. A quick note for anyone who is creating or updating links: the long-term home of Mark's database is going to be

http://conwaylife.com/ref/mniemiec/lifepage.htm

2718281828 wrote:6 cell preprocessor ...

Here's something that maybe isn't really worth mentioning, but I'll mention it anyway. You seem to be consistently using "preprocessor" instead of "predecessor". Also in your three-glider collisions post you used "Heisenburb" a couple of times. I do like that spelling, but the term is usually "Heisenburp".
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Re: Thread for your unsure discoveries

Postby mniemiec » October 25th, 2017, 7:10 pm

dvgrn wrote:That's probably about as good as you'll get for a list of "notweorthy" smallish methuselahs.

The original definition of methuselah was patterns less than 10 bits that take more than 50 generations to stabilize. (See https://en.wikipedia.org/wiki/Methuselah_(cellular_automaton)) I think the reason for this was that the smallest moving or expanding patterns (glider, R-pentomino, Pi-heptomino) have 5 bits; with a population limit under 10 bits, you can't have more than one of these. You might have an R-pentomino firing a glider at a blonk arbitrary far away, but the results of that will be trivial. It does start to get complicated when you have two distant R-pentminos shooting gliders at each other.
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Re: Thread for your unsure discoveries

Postby 83bismuth38 » October 31st, 2017, 7:55 pm

this might be a useful component for a still life:
x = 10, y = 6, rule = B3/S23
7b2o$2o4bo2bo$b2o3bob2o$o4b2obo$5bo2bo$6b2o!
see gen 20.
x = 8, y = 10, rule = B3/S23
3b2o$3b2o$2b3o$4bobo$2obobobo$3bo2bo$2bobo2bo$2bo4bo$2bo4bo$2bo!

No football of any dui mauris said that.
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Re: Thread for your unsure discoveries

Postby BlinkerSpawn » November 1st, 2017, 8:28 am

83bismuth38 wrote:this might be a useful component for a still life:
x = 10, y = 6, rule = B3/S23
7b2o$2o4bo2bo$b2o3bob2o$o4b2obo$5bo2bo$6b2o!
see gen 20.

This almost does domething:
x = 26, y = 27, rule = B3/S23
21bo$19b2o$20b2o3$10b2o$9bo2bo$9bo2bo$10b2o3$2o$b2o$o$14b2o$7b3o3bo2bo
$9bo3bob2o$8bo3b2obo8b2o$12bo2bo7b2o$13b2o10bo5$20b3o$20bo$21bo!

Otherwise there's this, which doesn't reduce anything:
x = 27, y = 23, rule = B3/S23
21bo$19b2o$20b2o7$7b2o$3o3bo2bo$2bo3bob2o$bo3b2obo8b2o$5bo2bo7b2o6b2o$
6b2o10bo4b4o$22b2ob2o$23b2o$15b2o$14b2o$16bo$b2o$2b2o$bo!
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Re: Thread for your unsure discoveries

Postby Kazyan » November 5th, 2017, 8:45 pm

A what looks like a new way to restore bait from a Pi explosion, but I'm not sure if it can do anything useful. Any takers?

x = 28, y = 20, rule = B3/S23
o6b2o5b2o$b2o4b2o5b2o3b2o$2o17b2o5b2o$26bo$24bobo$24b2o4$24b2o$24bobo$
26bo$26b2o2$10b2o$10b2o$17b2o$17bo$18b3o$20bo!
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Re: Thread for your unsure discoveries

Postby Jormungant » November 9th, 2017, 6:06 am

Anyone needing an compact single/double-snark-into-syringe? This syringe variant is not new, but it rarely shows up in the forums, for reasons that are beyond me since it is superior (farther to the H) to the commonly used one in my opinion (not trying to build it from gliders, lol). I know that the bounding box is slightly larger, but feels like the bounding diamond (or lozange) is more proper since signal is transmitted with gliders mostly (and this syringe variant wins in that case).

x = 78, y = 173, rule = LifeHistory
76.AB$75.AB$74.B3A$73.4B$72.4B$71.4B$70.4B$69.4B$68.4B$67.4B$66.4B$
65.4B$64.4B$63.4B$62.4B$61.4B$60.4B$59.4B$58.4B$57.4B$56.4B$55.4B$54.
4B$53.4B$52.4B$51.4B$36.A13.4B$36.3A10.4B$39.A8.4B$38.2A7.4B$38.5B3.
4B$40.3B2.4B$30.2A7.9B$30.A8.8B$27.2A.A.B3.10B$27.A2.3AB.2B2A7B$28.2A
2.BA3B2A7B$30.4A12B$30.A.2B3.7B.B2A$31.3AB2.7B.BA.A2.2A$34.A3.5B5.A2.
A$29.5A5.4B5.3A2.A$29.A10.4B7.3A$31.A9.4B5.A$30.2A10.4B4.2A$35.2A6.9B
$36.A7.6B$36.A.2A5.6B3.B2.2B2.2B$37.A2.A4.19BD$38.2AB3.20BDBD$39.14B
2A9B3DB$40.13B2A11BD$41.24B$41.17B.4B$42.15B3.4B$42.15B3.3B$43.13B5.A
2B.2A$45.13B2.A.A2B.A$44.8B4.2A.A.AB2.A$44.6B6.2ABA4.A$44.5B8.B2.5A.A
$44.B.B8.A.3A5.A.A$45.3B7.2A3.4A2.A$44.B2AB10.2A2.A.2A$45.2A8.3A.A$
55.A10$31.2A$31.A.A$33.A4.2A$29.4A.2A2.A2.A$29.A2.A.A.A.A.2A$31.BABAB
A.A$32.B2ABA.A$33.2B.BA$32.3B$23.2A6.4B$24.A6.B2A3B$24.A.AB3.B2A3B$
25.2AB.10B$27.13B$27.14B$27.15B$29.8B2.4B10.A$29.6B5.4B7.3A$28.9B4.4B
5.A$27.4B4.2A5.4B4.2A$26.4B5.A7.9B$25.4B7.3A5.6B$24.4B11.A5.6B3.B2.2B
2.2B$23.4B9.2A2.A2.B.19BD$22.4B9.A2.2A24BDBD$21.4B10.2A2.14B2A9B3DB$
20.4B16.13B2A11BD$19.4B17.25B$18.4B19.17B.4B$17.4B21.15B3.4B$16.4B22.
15B3.3B$15.4B24.13B5.A2B.2A$14.4B27.13B2.A.A2B.A$13.4B27.8B4.2A.A.AB
2.A$12.4B28.6B6.2ABA4.A$11.4B29.5B8.B2.5A.A$10.4B30.B.B8.A.3A5.A.A$9.
4B32.3B7.2A3.4A2.A$8.4B32.B2AB10.2A2.A.2A$7.4B34.2A8.3A.A$6.4B45.A$5.
4B$4.4B$3.4B$2.4B$.4B$3AB$.BA$BA2$31.2A$31.A.A$33.A4.2A$29.4A.2A2.A2.
A$29.A2.A.A.A.A.2A$31.BABABA.A$32.B2ABA.A$33.2B.BA$32.3B$23.2A6.4B$
24.A6.B2A3B$24.A.AB3.B2A3B$25.2AB.10B$27.13B$27.14B$27.15B$29.8B2.4B
10.A$30.5B5.4B7.3A$28.9B4.4B5.A$15.2A10.4B4.2A5.4B4.2A$16.A9.4B5.A7.
9B$14.A10.4B7.3A5.6B$14.5A5.4B5.3A3.A5.6B3.B2.2B2.2B$19.A4.4B5.A2.2A
2.A2.B.19BD$16.3AB2.7B.BA.A.A2.2A24BDBD$15.A.2B3.7B.B2A2.2A2.14B2A9B
3DB$15.4A12B4.A4.13B2A11BD$13.2A2.BA3B2A7B6.A2.25B$12.A2.3AB.2B2A7B5.
2A3.17B.4B$12.2A.A.B3.10B11.15B3.4B$15.A8.8B10.15B3.3B$15.2A7.9B10.
13B5.A2B.2A$25.3B2.4B11.13B2.A.A2B.A$23.5B3.4B9.8B4.2A.A.AB2.A$23.2A
7.4B8.6B6.2ABA4.A$24.A8.4B7.5B8.B2.5A.A$21.3A10.4B6.B.B8.A.3A5.A.A$
21.A13.4B6.3B7.2A3.4A2.A$36.4B4.B2AB10.2A2.A.2A$37.4B4.2A8.3A.A$38.4B
13.A$39.4B$40.4B$41.4B$42.4B$43.B3A$44.AB$45.AB!
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Re: Thread for your unsure discoveries

Postby christoph r. » November 12th, 2017, 3:16 pm

Cordership-rake-breeder:
If this reaction is known,
x = 67, y = 69, rule = B3/S23
31b2o$30b3o$29bob2o$14bo13bo$14bo12bo3b2o3bo$14bo11bo$27bobo$29bo$13bo
13bobo4bo$5b2o4b2ob2o$5b2o20b4o$14bobo12b2o$12bo3bo$b2o9bo2b2o$3bo9b3o
$5bo2bo5bo$b5o2bo$2b4ob2o$b2o$3o$3o16b3o$12bo6bobo3b2o$10b2ob2o3bo3bo
2b2o$10bo6bobo2bo14bobo$10bo3bo25bo$11b3o4b3o15bo2bo$19bo15bobo$34bo$
33b3o$19bo2bo12bo$19bo2bo13b2o23b2o$21b2o12bo24b3o$34bo2bo21bob2o$35bo
bo6bo13bo$37bo6bo12bo3b2o3bo$44bo11bo$57bobo$59bo$43bo13bobo4bo$41b2ob
2o$57b4o$44bobo12b2o$42bo3bo$42bo2b2o$43b3o$44bo6$55b2o$55b2o4$41b2o$
41b2o2$47b2o$47b2o4$16b6o$15bo5bo$21bo$15bo4bo$17b2o!


all the rest is trivial.

x = 1152, y = 426, rule = B3/S23
1007b2o$1006b4o$1006b2ob2o$1008b2o15b2o$1023b2ob2o$1023b4o$1024b2o$
999bobo$1000b2o$1000bo13bobo3b4o$1012bo4bo2bo2b2o$1012bo3bo4bo2b2o$
994bobo14bo3bo5bo2bo$30b2o84b2o877b2o15b2o8b2o$29bo2bo82bo2bo863b3o10b
o16b2o$28b2o2b2o80b2o2b2o861b5o$28b2o2b2o80b2o2b2o861b3ob2o27bo2bo$28b
ob2obo80bob2obo864b2o3bobo26bo6b2o$30b2o84b2o872b2o22bo3bo4b2ob2o$28bo
4bo80bo4bo870bo17b4o3b4o4b4o$27b2o4b2o78b2o4b2o875bo10bo3bo12b2o$13b2o
118b2o860bobo4b2o7bo$12bo2bo116bo2bo857b2o2bo3b4o2bo2bo$11b2o2b2o13b2o
84b2o13b2o2b2o854b2obo5bo3b2o$11b2o2b2o12bo2bo82bo2bo12b2o2b2o856b2o2b
o3b4o2bo2bo$11bob2obo12bo2bo82bo2bo12bob2obo858bobo4b2o7bo$13b2o118b2o
861bo10bo3bo$11bo4bo10b2o4b2o78b2o4b2o10bo4bo842bobo26b4o$10b2o4b2o8bo
2bo2bo2bo76bo2bo2bo2bo8b2o4b2o842b2o$26bo2bo2bo2bo76bo2bo2bo2bo858bo$
27bobo2bobo78bobo2bobo869b4o$13b2o118b2o8bo2bo842bo3bo$12bo2bo116bo2bo
7bo2bo846bo$12bo2bo116bo2bo6bo4bo844bo58b2o$142bo4bo841b2o58b2ob2o13b
2o$10b2o4b2o112b2o4b2o4bo4bo836b3o62b4o13b4o$9bo2bo2bo2bo13b3o94bo2bo
2bo2bo3bo4bo835bo3b2o3b2o56b2o14b2ob2o$9bo2bo2bo2bo13bo96bo2bo2bo2bo2b
3o2b3o835bo2bob3ob2o50bo22b2o$10bobo2bobo15bo96bobo2bobo3bob4obo836b9o
50bo$142bo4bo110b2o84b2o643b4o51b2o$257bo2bo82bo2bo696b2o$4b2o251bo2bo
82bo2bo718b2o$2b2o2b2o136b2o110bo4bo80bo4bo616bobo22bo2bo66b3o3bobo$4b
2o138b2o110bo4bo80bo4bo617b2o26bo44bo17b3o6bob2o$bo6bo135b2o111b4o82b
4o618bo23bo3bo45b2o15bo9b2o$2bo4bo134bo4bo108b2o2b2o80b2o2b2o642b4o44b
2o16b3o7bo$4b2o134b3o4b3o106bo4bo80bo4bo$b3o2b3o130b3o6b3o90b2o13bo4bo
80bo4bo13b2o664b2o$b2o4b2o130b2o8b2o89bo2bo116bo2bo660b3ob2o3bo33b2o$
140b10o90bo2bo116bo2bo633bo26b5o5b2o22b4o4b4o$141b8o90bo4bo12b4o82b4o
12bo4bo632bo27b3o5b2o15bo2bo3bo3bo4b2ob2o$4b2o117b2o18b4o92bo4bo13b2o
84b2o13bo4bo633bo55bo6bo6b2o$3bo2bo116b2o115b4o116b4o631bo54bo3bo2bo2b
o$239b2o2b2o10b2o4b2o78b2o4b2o10b2o2b2o629bobo43b2o9b4o$2bo4bo231bo4bo
9bo2bo2bo2bo76bo2bo2bo2bo9bo4bo628bo45b2o5b3o$b2o4b2o230bo4bo10b3o2b3o
78b3o2b3o10bo4bo628bo5bo14b5o16b3o6b2ob2o$o2bo2bo2bo105b2o138b2o4b2o
78b2o4b2o644bo5bo13bo4bo20b2o5b3o$2ob4ob2o105b2o113b2o762b2o3bo18bo21b
2o9b4o$2bo4bo221b4o7b4o116b4o630bobo16bo3bo5bo26bo3bo$124b2o115b2o118b
2o633b2o17bo8b2o28bo$73b3o49b2o101b6o759bo2bo26b2o9b2o14bo2bo$75bo48bo
104b4o5b2o4b2o112b2o4b2o628b2o37b4o$12b2o60bo59b2o101bo2bo2bo2bo9b3o
98bo2bo2bo2bo666b2ob2o$11bo2bo118bo2bo91b2o2b2o4b3o2b3o9bobo100b3o2b3o
669b2o$10b2o2b2o99b2o15b2o2b2o88b2obo2bob2o2b2o4b2o9bo102b2o4b2o660bo$
10b2o2b2o98bobo15b2o2b2o91bo2bo22bobo767bobo$10bob2obo116bob2obo118b2o
765b3ob2o2b2o$12b2o9b2o89b2o18b2o234b2o651b2ob12o$10bo4bo7b2o94b2o11bo
4bo92b2o36bobo98bo2bo653bo2bo7bo$9b2o4b2o101b3o10b2o4b2o91b2o33bobo
100b2o2b2o650b2o3b2o6bo$117bo146bob2o3bo96b2o2b2o645b2o15bo$227bobo2bo
bo32b2o99bob2obo644b4o11b2o$12b2o17b2o83bo3bobo11b2o90bo2bo2bo2bo23b2o
8b2o99b2o599b4o33b4o6b2ob2o$11bo2bo16b2o87b2o11bo2bo89bo8bo23b2o4bo2bo
99bo4bo596bo3bo12bo2bo16b6o7b2o$11bo2bo102b2ob2o11bo2bo89bo8bo30b3o98b
2o4b2o599bo16bo15b4ob2o$119bo106b2o6b2o734bo2bo13bo3bo19b2o$9b2o4b2o
114b2o4b2o89b6o754b4o$8bo2bo2bo2bo112bo2bo2bo2bo176b2o52b2o593bo$8bo2b
o2bo2bo112bo2bo2bo2bo177b2o50bo2bo593bo$9bobo2bobo114bobo2bobo177bo52b
o2bo591b3o$31b2o948bo4b2o$31b2o334b2o4b2o603b4o3b2ob2o$366bo2bo2bo2bo
584bo16b5o4bo2bo$123b2o226b2o13bo2bo2bo2bo585bo14bo9bo2bo$123b2o226b2o
14bobo2bobo584b3o15b2o8b2o$15b2o114b2o845bo$14bo2bo112bo2bo812b5o$13b
2o2b2o110b2o2b2o810bo4bo4bo24b2o5bo2bo$13b2o2b2o96b2o12b2o2b2o105b2o
101b2o17b2o586bo5bo22b4o8bo$13bob2obo4b2o90b2o12bob2obo104bo2bo100b2o
16bo2bo580bo3bo4b3o22b2ob2o3bo3bo$15b2o6b2o77b2o27b2o106bo2bo118bo2bo
582bo26b2o5b2o5b4o$13bo4bo17b2o63bo2bo24bo4bo103bo4bo116bo4bo606b2ob2o
$12b2o4b2o16b2o62b2o2b2o22b2o4b2o102bo4bo116bo4bo594b3o5bo3b4o$100b2o
2b2o133b4o118b4o592bo2b3o3b2obo3b2o$100bob2obo132b2o2b2o116b2o2b2o591b
obo6bo3bo$15b2o85b2o27b2o105bo4bo116bo4bo591bo2b3o3b2obo3b2o$14bo2bo
82bo4bo9b2o13bo2bo104bo4bo99b2o15bo4bo594b3o5bo3b4o$14bo2bo81b2o4b2o8b
2o13bo2bo209b2o600bo26b2ob2o$946bo27b2o$12b2o4b2o108b2o4b2o103b4o8b2o
108b4o579b3o$11bo2bo2bo2bo81b2o23bo2bo2bo2bo103b2o9b2o109b2o$11bo2bo2b
o2bo80bo2bo22bo2bo2bo2bo189b2o17b2o569bo39b2o$12bobo2bobo81bo2bo23bobo
2bobo101b2o4b2o80b2o18b2o12b2o4b2o537bobo10b2o35b2ob2o122b6o$236bo2bo
2bo2bo81bo8bo21bo2bo2bo2bo537b2o9b2o36b4o122bo5bo$31b2o66b2o4b2o130b3o
2b3o14b2o74bobo21b3o2b3o538bo49b2o52b4o73bo5b4o$31b2o65bo2bo2bo2bo13b
2o2b2o110b2o4b2o14b2o73bo2bo13b2o6b2o4b2o588bo52bo3bo12bo2bo51bo4bo5bo
3bo$23b2o73bo2bo2bo2bo13b2o2b2o209bo3b3o8b2o600bo3bo54bo16bo52b2o11bo$
22bo2bo73bobo2bobo13b3o2b3o205b2obo2bo3bo605b2obo5bo49bo2bo13bo3bo61bo
2bo$21b2o2b2o93b3o2b3o206bo2b2o2b2o2b2o604b2o5bo67b4o79b2o$21b2o2b2o
304b3o2bob2o3bo609b6o120b2o14bo7bob4ob2o$21bob2obo93bo6bo203bobob2o2b
4o735bobo2bobo9bo7bo2b5o$23b2o95bo2b2o2bo115b2o87bo2b2o22b2o640bo13b2o
60b2o3bo3bo16bo3b3o$21bo4bo4b2o88b6o115bo2bo13b2o97bo2bo640bo7bo4b2o
61b2o2bo14bo$20b2o4b2o3b2o209bo2bo13b2o97bo2bo638b3o6b3o13b3o51b4o14bo
$241bo4bo110bo4bo588b2o55bo18bo52bo4bo21b4o$123b2o116bo4bo104b2o4bo4bo
586b2ob2o54b5o7b2o3bobo57bo20bo3bo$23b2o97bo2bo116b4o26b2o77b2o5b4o
587b4o43bo20bo7b2o57bo25bo$22bo2bo96b4o115b2o2b2o24bo2bo82b2o2b2o587b
2o45bo108bo2bo$22bo2bo95b2o2b2o114bo4bo24bo2bo82bo4bo621b5o6b3o128b2o$
118bo2bo4bo2bo111bo4bo23bo4bo54b2o25bo4bo620bo4bo29b2o5bo2bo86bo8b2ob
2o$20b2o4b2o93bo4bo143bo4bo53bo2bo10b2o643bo28b4o8bo83bobo4bo3b4o$19bo
2bo2bo2bo93b4o125b2o18b4o54bo2bo10b2o638bo3bo3bo25b2ob2o3bo3bo70b3o9bo
2bo5bo3b2o$19bo2bo2bo2bo89bo10bo112b4o5b2o17b2o2b2o52bo4bo24b4o623bo6b
o19b2o5b2o5b4o72bo9bo6bo2bo$20bobo2bobo8b2o81bo8bo114b2o19b2o4bo4bo52b
o4bo25b2o629b3o17b2ob2o86bo10bo2bo5bo3b2o$36b2o226b2o4bo4bo53b4o665b3o
5bo3b4o99bobo4bo3b4o$45b2o76b2o6b2o107b2o4b2o80b2o2b2o22b2o4b2o567bo
42b3o18bo2b3o3b2obo3b2o102bo8b2ob2o$43b2o2b2o80b2o2b2o104bo2bo2bo2bo
79bo4bo21bo2bo2bo2bo564b2ob2o39b5o8bo8bobo6bo3bo90bo5b3o18b2o5b2o5b4o$
45b2o84b2o107b3o2b3o23b4o53bo4bo22b3o2b3o551bo13b2ob2o3b2o34b3ob2o8bo
7bo2b3o3b2obo3b2o84bo3bo5bo23b2ob2o3bo3bo$42bo6bo78bo6bo104b2o4b2o24b
2o69b2o11b2o4b2o552bo59b2o7b3o10b3o5bo3b4o88bo3bo24b4o8bo$43bo4bo80bo
4bo208b2o569b3o11b2ob2o77b2ob2o82bo4bo29b2o5bo2bo$45b2o84b2o117bo2bo
15b2o4b2o52b4o594b2o2bo80b2o57b4o23b5o$42b3o2b3o78b3o2b3o114bo2bo14bo
2bo2bo2bo52b2o595b2obo61bo2bo74b6o34b3o14b2o9bo$42b2o4b2o78b2o4b2o113b
o4bo14b3o2b3o74b2o575b3o65bo73b4ob2o5b2o28bo12b5o8b3o$28b2o118b2o99bo
4bo14b2o4b2o50b2o4b2o15bo2bo575b2o61bo3bo77b2o5b4o26bo13b2o4bo5bo3bo$
26b2o2b2o114b2o2b2o43bo53bo4bo71bo2bo2bo2bo14bo2bo578bo60b4o84b2ob2o
39b2o5b5o4bo$28b2o15b2o84b2o15b2o44bo54bo4bo72b3o2b3o14bo4bo577bo52bo
97b2o42b2o4b4obob2o$25bo6bo11bo2bo82bo2bo11bo6bo41b3o51b3o2b3o3b2o66b
2o4b2o14bo4bo575bobo51bob2o103bo23b3o12b3ob2o3bo$26bo4bo114bo4bo96bob
4obo3b2o89b4o628bo10b3o93bo3bob6o16bo18bobo$28b2o13bo4bo80bo4bo13b2o
49bo49bo4bo94b2o2b2o627bo9b5o91b3o3bo5bo15bo$25b3o2b3o9b2o4b2o78b2o4b
2o9b3o2b3o44b2ob2o147bo4bo627bo2bo5b4ob2o81bo8bo5bo5bo$25b2o4b2o8bo2bo
2bo2bo76bo2bo2bo2bo8b2o4b2o44bo2bo148bo4bo629bo3b2o5b2o81bob2o6bob2o3b
o3bo40b4o$41b2ob4ob2o76b2ob4ob2o61b2o51b2o724bo2bo96b2ob2o7b3o5bo24bo
2bo13bo3bo$43bo4bo80bo4bo60bo55b2o715b2o11bo95b4obo14b2o27bo16bo$28b2o
118b2o44b3o54b2o97b4o612bo4bo5bo3bo99b3o12b4o22bo3bo12bo2bo$27bo2bo
116bo2bo42bo4bo50bo4bo96b2o619bo5b4o100b2o12b2ob2o22b4o$193bob2o2bo47b
3o4b3o709bo5bo125b2o$26bo4bo114bo4bo42b3o2bo46b3o6b3o90b2o4b2o611b6o$
25b2o4b2o112b2o4b2o93b2o8b2o89bo2bo2bo2bo757b4o$24bo2bo2bo2bo98b3o9bo
2bo2bo2bo93b10o91b3o2b3o747bo9bo3bo$24b2ob4ob2o98bo2b2o7b2ob4ob2o94b8o
92b2o4b2o748b2o11bo$26bo4bo100bo4b2o7bo4bo98b4o847b3o5b2o2bo2bo$132bo
967b3o6b3o$133bo3bo953b2o8b3o5b2o2bo2bo$18b4o112bo68b2o886b2o11b2o11bo
$18bo2bo113bobo64b2o371bo527bo9bo3bo12b2o$17b6o111b2o3bo64bo369b3o519b
o17b4o3b4o4b4o$63bo71bo3b2o432bob3o518b2o22bo3bo4b2ob2o$62b2o76bo433bo
3bo511b2o3bobo26bo6b2o$16bo2b2o2bo38bobo71bo2bo432bo2bo2b2o507b3ob2o
27bo2bo$16bob4obo113b3o432b4o2b3o506b5o$16bobo2bobo547bo2bo3bo509b3o
10bo16b2o$571bo6bo277bo244b2o15b2o8b2o$130b2o441bo2bo267bobo10b2o241bo
bo14bo3bo5bo2bo$19b2o109b2o438b2ob2o270b2o9b2o260bo3bo4bo2b2o$19b2o
537b2o14bo270bo92bobo177bo4bo2bo2b2o$558b2o378b2o166bo13bobo3b4o$16b2o
4b2o915bo166b2o$16b3o2b3o1081bobo$15bo2bo2bo2bo549b2o554b2o$15b2ob4ob
2o548bo525b2o28b4o$16b8o550b2o520b3ob2o27b2ob2o$1096b5o13b2o15b2o$550b
2o543b2ob2o12b2ob2o$38b2o510b2o429bo113bo16b4o$27b2o9b2o109b2o418bo
409b2o112b2ob2o15b2o$25b2o2b2o116b2o2b2o415b2o410b2o70bo3b2o5b2o28b2ob
o$27b2o120b2o416b2obo4b3o472bo2bo5b4ob2o27bo3b4o$24bo6bo114bo6bo414bob
o10b3o466bo9b5o29b3ob4o$25bo4bo15b2o99bo4bo416b2o13bo465bo10b3o30b2o2b
2ob2o$27b2o17b2o101b2o192b6o231bo3bo95bo371bob2o39bo4b2o$24b3o2b3o42bo
71b3o2b3o188bo5bo231b2o3b2o93b2o371bo41bo$24b2o4b2o42b2o70b2o4b2o194bo
230bo2bobo2bo90b5o378b4o$73bobo266bo4bo230b2o2bobo2bo75bo19bo376bo3bo
41bobo$344b2o232bo2b2ob2o77bo13bo5b2o379bo40bo2bo5b2o$27b2o120b2o428bo
4bo20bo57bo5bobo8b2ob3o178bo195bo2bo41b2o3b4ob2o$26bo2bo118bo2bo425b2o
b2o22b3o62bobo3b2o2b2obobo180bo212bo2bo22bo6b5o$46b2o531b4o20bob3o62bo
5b2o2bo2bo179b3o216bo22b2o5b3o$25bo4bo15b2o99bo4bo427b2o22bo3bo71b2o
173bo89bo124bo7bo3bo22b2ob2o$24b2o4b2o114b2o4b2o448bo2bo2b2o44b2o20bob
2o176bo88bobo120b3o3bo4b4o$23bo2bo2bo2bo105b2o5bo2bo2bo2bo447b4o2b3o
43b2o5b3o12bo177b3o88b2o108b2o11b2o5b2o35b4o$23b2ob4ob2o105b2o5b2ob4ob
2o446bo2bo3bo52bo2b2o390b2o9bo6b3o34bo3bo$25bo4bo116bo4bo448bo6bo53b3o
390bo12b2o5b2o38bo$603bo2bo56bo404b3o3bo4b4o28bo2bo$600b2ob2o45bo3b3o
413bo7bo3bo2bo2bo40bo2bo$130b2o456b2o14bo44b3ob2obo118bo284b2o20bo6bo
6b2o35bo$38b2o90b2o456b2o57b3o2bo3b2o116b3o276b3o5b2o15bo2bo3bo3bo4b2o
b2o17b2o11bo3bo$38b2o606b2ob2obo120bob3o274b5o3bo25b4o4b4o20bo11b4o$
30b2o19b2o93b2o498b2o2bo123bo3bo273b3ob2o37b2o16bo7b2o2b3o$28b2o2b2o
17b2o91b2o2b2o436b2o16b2o43b2ob2o118bo2bo2b2o275b2o25b2o28bo8b2o2b3o$
30b2o114b2o432b3ob5o14bo168b4o2b3o284b2o37bo8bo7b2o2b3o$27bo6bo108bo6b
o429bo2bo5bo14b2o63bo4b2o95bo2bo3bo287b2o13bo2bo7b3o8bo14bo11b4o$28bo
4bo110bo4bo133b2o296b5ob2o71b2o6bobo3b2o95bo6bo286bo14b2ob2o5bo3b2o8bo
5b2o4b2o11bo3bo2bo2bo$30b2o85b2o11b2o14b2o134b2o301b3o72b3o4b2ob2o15b
2o84bo2bo304bob5o2bobo2b2o14b2o20bo6bo6b2o$27b3o2b3o80b2o2b2o9b2o11b3o
2b3o133bo374bo2bo4bo2b2o17bo80b2ob2o307bo2b3obo5bo8b3o3bo18bo2bo3bo3bo
4b2ob2o$27b2o4b2o82b2o24b2o4b2o448bo60b2o5b2obo15bo2bo84bo295b2o14bo3b
o2b2o8b5o29b4o4b4o$38b2o19b2o53bo6bo476b2o68bobo14b4ob2o379b2o17bo12b
3ob2o37b2o$38b2o17b2o2b2o52bo4bo476b2obo4b3o60b2o22bo377bo21bo13b2o7b
2o$30b2o27b2o56b2o27b2o438b2o10bobo67bobo12bo2b3o3bo423b2o20bo$29bo2bo
23bo6bo50b3o2b3o23bo2bo436bob2o10b2o67bobo11b3obo2bo2bo81b2o320b2o17bo
20bo4bo3bo$57bo4bo51b2o4b2o463bob2o80b2o11b3o4b2o19bo62bo304b2o14b2ob
2o29b2ob2o3bo3bo4b2o$28bo4bo12b2o11b2o83bo4bo436bo96bobob2o21b2o62b2o
301b4o13b4o30bo2bo8bo5b2o$27b2o4b2o11b2o8b3o2b3o79b2o4b2o352b6o175bob
2o20b5o364b2ob2o13b2o23b2o7b3o13b2o$26bo2bo2bo2bo20b2o4b2o53b2o23bo2bo
2bo2bo350bo5bo85bo89bo8bo19bo365b2o40b2o11bo2bo$26b2ob4ob2o80bo2bo5b2o
15b2ob4ob2o356bo85b3o96bo13bo5b2o405bo14b2o$28bo4bo91b2o17bo4bo352bo4b
o88bo3b2o91bo5bobo8b2ob3o53bo$59b2o54bo4bo383b2o89b2o3b2o97bobo3b2o2b
2obobo53b2o$58bo2bo52b2o4b2o469bo3bo104bo5b2o2bo2bo53b2obo4b3o301b2o
66b2o$113bo2bo2bo2bo13b2o2b2o449bob2o115b2o56bobo10b3o294b4o47b2o14b2o
b2o$38b2o6b2o9bo4bo50b2ob4ob2o15b2o253b2o2b2o80b2o2b2o110bo110bob2o59b
2o13bo293b2ob2o45b4o13b4o$36b2o2b2o4b2o8b2o4b2o51bo4bo17b2o255b2o84b2o
108b3ob2o94b3o12bo73bo3bo295b2o15b2o29b2ob2o13b2o$38b2o15bo2bo2bo2bo
70bobo2bobo252b2o84b2o108bob3o95bo2b2o84b2o3b2o308b2ob2o30b2o$35bo6bo
12b2ob4ob2o70bo6bo249bobo2bobo78bobo2bobo108bo97b3o84bo2bobo2bo287b2o
18b4o$36bo4bo15bo4bo329bo6bo78bo6bo106b3o98bo84b2o2bobo2bo287bo20b2o$
38b2o95bo6bo449b2o145b2o37bo2b2ob2o288bobo$35b3o2b3o93b2o2b2o250bo6bo
78bo6bo252bobo38bo4bo20bo222b2o44bo$35b2o4b2o94b4o252b2o2b2o80b2o2b2o
255bo36b2ob2o22b3o220b4o43bo15b2o3bo$130b2o244b2o2b2o12b4o82b4o12b2o2b
2o277b4o20bob3o219b2ob2o56b3o4b2o$130b2o6b2o238b2o118b2o280b2o22bo3bo
220b2o15b2o19bobo17bo2bo5b2o$38b2o97bo2bo237b2o15b2o84b2o15b2o302bo2bo
2b2o234b2ob2o19b2o17bo7b2o$37bo2bo334bobo2bobo11bo2bo82bo2bo11bobo2bob
o299b4o2b3o233b4o20bo18b2o$136bo4bo233bo6bo112bo6bo201b2o95bo2bo3bo
236b2o7b3o$36bo4bo93b2o4b2o250bo4bo80bo4bo219b2o95bo6bo217bo26b5o$35b
2o4b2o93bob2obo233bo6bo9b2o4b2o78b2o4b2o9bo6bo175bo124bo2bo218b3o3b2o
20b3ob2o3bobo21bo2bo$34bo2bo2bo2bo93b4o235b2o2b2o11bob2obo80bob2obo11b
2o2b2o177b2o119b2ob2o219b5ob3o9b3o11b2o5b2o25bo6b2o$34b2ob4ob2o94b2o
237b4o13b4o82b4o13b4o303bo212bobo8b3o9bo3b2o17bo22bo3bo4b2ob2o$36bo4bo
353b2o84b2o207b2o326b2o8b3o9bobo2b2o33b4o3b4o4b4o$378b2o118b2o190b2o
326bo10bo9bo5bo33bo3bo12b2o$377bo2bo116bo2bo527bo11bo2b2o12bobo15bo7bo
$696b2o305b3o34bo17b3o9b7o2bo2bo$376bo4bo104bo9bo4bo194b2o304b5o5bobo
27bo15bo10bo2b3ob2o$375b2o4b2o102b4o6b2o4b2o499b3ob2o5b2o20bo2bo31b7o
2bo2bo$376bob2obo102bo2b2o7bob2obo178b2o323b2o6bo25bo6b2o27bo7bo$377b
4o103bo4bo7b4o179bobo352bo3bo4b2ob2o30bo3bo$378b2o104b2obob2o7b2o163b
6o10bo2bo346b4o3b4o4b4o32b4o$488b5o169bo5bo10bo2bo324bobo8bo9bo3bo12b
2o$488b4o176bo10bobo326b2o9b2o11bo$487b5o14b4o152bo4bo12bo327bo7b3o5b
2o2bo2bo30b4o66b2o$486b2o2bo173b2o349b3o6b3o21bo12bo3bo64b2ob2o13b2o$
487b3o16bo2bo182b4o320b3o5b2o2bo2bo33bo64b4o13b4o$363b2o123bo16bob2obo
180b6o322b2o11bo15bo15bo66b2o14b2ob2o$362b2o49b3o89bo4bo180b4ob2o320bo
9bo3bo28b2o86b2o$364bo48bo281b2o332b4o$414bo90bo4bo546bob2o3b2o$505b2o
2b2o546b3ob3ob2o55bo14b2o$480b2o23b6o336b3o161b4o44b7o15b2o40b2o11bo2b
o$480b2o24bo2bo339bo160bo3bo46b4o14b2ob2o13b2o23b2o7b3o13b2o$507b2o
245bo93bo165bo64b4o13b4o30bo2bo8bo5b2o$507b2o243bo3bo256bo35b2o29b2o
14b2ob2o29b2ob2o3bo3bo4b2o$757bo252b2o33b7o46b2o17bo20bo4bo3bo$504b2o
4b2o240bo4bo247b3o36bob4ob2o65b2o20bo$504b2o4b2o241b5o246bo3b2o3b2o31b
o3b2o20bo21bo13b2o7b2o$504b2o4b2o493bo2bob3ob2o25b2o30b2o17bo12b3ob2o
37b2o$1006b9o26b2o2b2o25b2o14bo3bo2b2o8b5o29b4o4b4o$506bo2bo500b4o31b
3o36bo2b3obo5bo8b3o3bo18bo2bo3bo3bo4b2ob2o$1045b2o36bob5o2bobo2b2o14b
2o20bo6bo6b2o$388b2o677bo14b2ob2o5bo3b2o8bo5b2o4b2o11bo3bo2bo2bo$388b
2o659b2o17b2o13bo2bo7b3o8bo14bo11b4o$375b2o2b2o116b2o2b2o543b3ob2o15b
2o37bo8bo7b2o2b3o$377b2o120b2o545b5o6b2o25b2o28bo8b2o2b3o$377b2o120b2o
546b3o4b3ob2o37b2o16bo7b2o2b3o$374bobo2bobo14b2o98bobo2bobo550b5o3bo
25b4o4b4o20bo11b4o$374bo6bo14b2o98bo6bo551b3o5b2o15bo2bo3bo3bo4b2ob2o
17b2o11bo3bo$1062b2o20bo6bo6b2o35bo$374bo6bo114bo6bo568bo7bo3bo2bo2bo
40bo2bo$375b2o2b2o41b3o72b2o2b2o474bobo90b3o3bo4b4o28bo2bo$376b4o44bo
73b4o476b2o77bo12b2o5b2o38bo$423bo554bo79b2o9bo6b3o34bo3bo$377b2o120b
2o556b2o11b2o5b2o35b4o$376bo2bo16b2o100bo2bo479bo88b3o3bo4b4o$396b2o
545bo37bobo88bo7bo3bo22b2ob2o$375bo4bo116bo4bo439b2o37b2o101bo22b2o5b
3o$374b2o4b2o106b2o6b2o4b2o438bobo135bo2bo22bo6b5o$375bob2obo107b2o7bo
b2obo29bobo527bo2bo41b2o3b4ob2o$376b4o118b4o30b2o265b2o265bo40bo2bo5b
2o$377b2o120b2o32bo264bobo261bo3bo41bobo$800bo262b4o$480b2o573bo41bo$
388b2o90b2o572bob2o39bo4b2o$388b2o476b2o184bo10b3o30b2o2b2ob2o$401b2o
462bobo184bo9b5o29b3ob4o$378b2o2b2o17b2o91b2o2b2o367bo184bo2bo5b4ob2o
27bo3b4o$380b2o114b2o450b6o28b2o70bo3b2o5b2o28b2obo$380b2o114b2o343b3o
103bo5bo27b2o112b2ob2o$377bobo2bobo108bobo2bobo342bo109bo5b4o20bo113bo
$377bo6bo95b2o11bo6bo341bo104bo4bo5bo3bo134b2ob2o$407b2o2b2o67b2o467b
2o11bo135b5o6b4o$377bo6bo24b2o82bo6bo457bo2bo136b3ob2o4bo3bo12bo2bo$
378b2o2b2o4b2o19b2o83b2o2b2o455bo20b2o123b2o9bo16bo$379b4o5b2o16bobo2b
obo51b2o2b2o24b4o456bo6bo7bob4ob2o129bo2bo13bo3bo$406bo6bo53b2o449b3o
41bo7bo2b5o148b4o$380b2o85b2o27b2o419bob2o49bo3b3o126bo$379bo2bo23bo6b
o50bobo2bobo23bo2bo417b2o46bo139bo$396b2o9b2o2b2o51bo6bo492bo137b3o$
378bo4bo12b2o10b4o82bo4bo416b3o55b4o141bo4b2o$377b2o4b2o79bo6bo21b2o4b
2o414b2o56bo3bo138b4o3b2ob2o$378bob2obo25b2o54b2o2b2o4b2o17bob2obo413b
3o61bo120bo16b5o4bo2bo$379b4o25bo2bo54b4o5b2o18b4o474bo2bo122bo14bo9bo
2bo$380b2o114b2o420b2o73b2o102b3o15b2o8b2o$407bo4bo54b2o448b2o3b2o67b
2ob2o120bo$388b2o16b2o4b2o52bo2bo448b2o2b3o32b2o20b3o5bo3b4o89b5o$386b
2o2b2o4b2o9bob2obo506b2ob2o30b3ob2o16bo2b3o3b2obo3b2o89bo4bo4bo24b2o5b
o2bo$388b2o6b2o10b4o53bo4bo15b2o2b2o428bobo31b5o17bobo6bo3bo98bo5bo22b
4o8bo$385bo6bo16b2o53b2o4b2o16b2o465b3o11b3o4bo2b3o3b2obo3b2o89bo3bo4b
3o22b2ob2o3bo3bo$386bo4bo73bob2obo17b2o481bo7b3o5bo3b4o90bo26b2o5b2o5b
4o$388b2o76b4o15bobo2bobo477bo20b2ob2o105bo8b2ob2o$385b3o2b3o74b2o16bo
6bo473bo26b2o5b2o5b4o77b2o9bobo4bo3b4o$385b2o4b2o571bo3bo29b2ob2o3bo3b
o78bo8bo2bo5bo3b2o$485bo6bo476bo4b3o21b4o8bo87bo6bo2bo$480b2o4b2o2b2o
425b2o45bo4bo6bo22b2o5bo2bo88bo2bo5bo3b2o$388b2o90b2o5b4o424bo4bo44b5o
5bo123bobo4bo3b4o$387bo2bo530bo9b2o72bo95bo8b2ob2o$488b2o416b2o6bo6bo
8b4o66bo3bo2bo104b2o$386bo4bo95bo2bo414bo8b8o8b2ob2o44b3o17b2o7bo83bo
2bo$385b2o4b2o522b2o15b2o47bo18b2o6bo87bo$384bo2bo2bo2bo92bo4bo414bo2b
o70bo20b2o4b2o70bo12bo3bo$384b2ob4ob2o91b2o4b2o414bobo75bobo18bo68bo3b
2o12b4o$386bo4bo94bob2obo427b2o64bo2bo14b2o69bo2bo$487b4o426b2ob2o152b
o2b2o7b2ob2o$488b2o427b4o65b3o86bobo8b2o5b3o$918b2o87b4o65bo8bo6b5o$
936b2o51bo2bo13bo3bo75b2o3b4ob2o$935b4o54bo16bo75bo2bo5b2o$925bo9b2ob
2o49bo3bo12bo2bo67bo2bo6bobo$911b2o12bo11b2o51b4o74b2o11bo$910bobo8bo
2b2o4bobo133bo4bo5bo3bo$912bo8bo7bo2b2o138bo5b4o$921bo2b2o4bobo133bo5b
o$925bo11b2o128b6o$916b2o7bo9b2ob2o3b2o5bo2bo$915bobo17b4o3b4o8bo$917b
o18b2o4b2ob2o3bo3bo$909b5o30b2o5b4o$908bo4bo$859b2o52bo7b2o$858bobo47b
o3bo7bobo24b2o$860bo49bo11bo15b2o3b3o4bo$934b2o6b5o4b2o$935b3o4bob2o6b
o$926b2o8bo4b2o9bo$925bobo13b2o5bo2bo$927bo13b2o6bo2$901b3o46bo2bo$
903bo50bo$902bo47bo3bo$934b4o13b4o$924b6o3bo3bo$922b2o5bo7bo$920b2obo
5bo3bo2bo$924bo3bo$926bo$926b2o$925b4o$925b2ob2o$927b2o3$916b3o26b2o$
918bo15bo8b2ob2o$917bo14bobo4bo3b4o$931bo2bo5bo3b2o$921b2o8bo6bo2bo$
923bo7bo2bo5bo3b2o$921b2o9bobo4bo3b4o$934bo8b2ob2o$918bo26b2o5b2o5b4o$
916bo3bo29b2ob2o3bo3bo$921bo4b3o21b4o8bo$916bo4bo6bo22b2o5bo2bo$917b5o
5bo$957bo$952bo3bo2bo$931b3o17b2o7bo$933bo18b2o6bo$932bo20b2o4b2o$922b
2o13bobo18bo$920bo4bo11bo2bo14b2o$926bo$911b2o6bo6bo11b3o$910bo8b8o32b
4o$920b2o19bo2bo13bo3bo$911bo2bo30bo16bo$912bobo26bo3bo12bo2bo$924b2o
16b4o$922b2ob2o$922b4o$923b2o$941b2o$940b4o$930bo9b2ob2o$930bo11b2o$
926bo2b2o4bobo$926bo7bo2b2o$919b2o5bo2b2o4bobo$918bobo9bo11b2o$920bo9b
o9b2ob2o3b2o5bo2bo$940b4o3b4o8bo$941b2o4b2ob2o3bo3bo$914b5o5b2o23b2o5b
4o$913bo4bo4bobo$918bo6bo$913bo3bo34bobo$915bo34b2o3bo$929b2o10bo8b3ob
ob2o$928bobo19b3o4bo$930bo5b2o15bo3bo$935bo7bo10b3o$935bo3bobobo10bo$
936b3o$955bo2bo$959bo$955bo3bo$939b4o13b4o$938bo3bo$942bo$938bo2bo!


x = 842, y = 425, rule = B3/S23
696bo2bo$700bo$696bo3bo$697b4o13b4o$713bo3bo$717bo$713bo2bo$691bo$689b
obo19b2o$690b2o18b5o$703bob3o2bo4bo$701b2o3bo3b3o2bo$686bo14bobo7bo2b
2o$673bo10bobo14bob2o7b2o$671bo3bo9b2o15b2o$676bo26bo$671bo4bo$672b5o
4bo25b2o5b4o$679bobo17b2o4b2ob2o3bo3bo$680b2o16b4o3b4o8bo$686bo11b2ob
2o3b2o5bo2bo$684b2obo3bo2bo5b2o$682b5o4bo3bo$682bo2bo4bo4b2o$682b5o4bo
3bo$684b2obo3bo2bo5b2o$686bo11b2ob2o$671bo26b4o$669bobo27b2o$670b2o9b
2o$680b4o$680b2ob2o$682b2o$740b4o$675bo63bo3bo12bo2bo$674b6o63bo16bo$
673bo3b8o54bo2bo13bo3bo$674b2o8bo72b4o$675b3o6bo49bo$676b2o5bo51bo$
680b2o51b3o$750bo4b2o$656bo90b4o3b2ob2o$654bobo25b2o45bo16b5o4bo2bo$
655b2o23b2ob2o45bo14bo9bo2bo$680b4o44b3o15b2o8b2o$681b2o64bo$715b5o$
714bo4bo4bo24b2o5bo2bo$719bo5bo22b4o8bo$687b2o25bo3bo4b3o22b2ob2o3bo3b
o$716bo26b2o5b2o5b4o$685bo55b2ob2o$684b2o43b3o5bo3b4o$683b2o20b3o18bo
2b3o3b2obo3b2o$682b3o19b5o17bobo6bo3bo$683bo4b3o13b3ob2o16bo2b3o3b2obo
3b2o$683b3o21b2o20b3o5bo3b4o$684bob2o26bo26b2ob2o$686b2o27bo27b2o$684b
ob2o25b3o7bo2bo$684b2o41bo$723bo3bo$724b4o$716bo$715bob2o$713bo10b3o$
713bo9b5o$713bo2bo5b4ob2o$715bo3b2o5b2o$708bo2bo$662b2o35b2o11bo$661b
4o32bo4bo5bo3bo$280b3o378b2ob2o37bo5b4o$264b2o14b3o380b2o15b2o15bo5bo$
263b2o4bobo7bo3bo394b2ob2o15b6o$263b3o2bo2bo5b3ob2o395b4o$235b2o25b6ob
obo4bo4b2o396b2o$227bo4b2o28b2o2bo9bo2bo374bobo$226bo3b4ob2o18b2o6b3o
11b2o376b2o$227b4o4b5o15b2o7bo390bo13bobo3b4o$227bo6b3o430bo4bo2bo2b2o
$235bo431bo3bo4bo2b2o$234b3o412bobo14bo3bo5bo2bo$215b2o12bo24bo395b2o
15b2o8b2o$215b2o12bo22bo2b2o380b3o10bo16b2o$251bo4bo379b5o$247b2o2bo2b
2o380b3ob2o27bo2bo$247b2o2b2obo384b2o3bobo26bo6b2o$253b4o388b2o22bo3bo
4b2ob2o$254b3o388bo17b4o3b4o4b4o$260b2o13b2o374bo10bo3bo12b2o$207b2o
51b2o13b2o373bobo4b2o7bo$207b2o62bo376b2o2bo3b4o2bo2bo$218bo45bo4b2obo
373b2obo5bo3b2o$217bob2o40bo2bo4bo2bo15bo359b2o2bo3b4o2bo2bo$216b2obo
9bob2obo26b2o5b2obo15bobo360bobo4b2o7bo$217bo10b3o4bo33b2o15bo3bo360bo
10bo3bo$228bo5bo35bobo13bo3bo343bobo26b4o$229bo3bo37bo12b3obobo344b2o$
230bobo50bo2bob2o345bo$240bo42bobo321bo37b4o123b4o$233bo3bo2bobo2bo38b
2o310bo11bo35bo3bo122b6o$233b5ob2o4bo348bobo9b3o39bo51b2o69b4ob2o5b2o$
234bobo4bo3bo349b2o50bo51b4o72b2o5b4o$644b2o53b2ob2o78b2ob2o$241b3o
457b2o15b2o64b2o$242bo17b2o378bob2o3b2o67b2ob2o$259b2obo377b3ob3ob2o
66b4o76b6o$258bobob2o378b7o68b2o50b2o23b2o5bo$257b2obo2bo380b4o119b2ob
2o20b2obo5bo$258b2o34bo410b2o60bo3b3o22bo3bo$259b4o3bo26bobo394bobo6b
3o3b2o9bo50bo4b2o24bo$24b3o240bo24b2ob2o394b2o6b3o14b2o50bo3bo25b2o$
24bo2bo237b3o27b2o343b4o47bo6bo3bo12bob2o50b2o26b4o$23bo4bo226b2o32b2o
348bo3bo54b4o13bobo56b2o21b2ob2o$23b3o2bo225bo2bo33bo2b3o346bo55b3o13b
2o82b2o$22bo5bo226b2o32b2obo346bo2bo32b3o7bobo$21b7o263bo2bo379b5o7b2o
127b4o$21bo269bo382b3ob2o6bo20bo2bo93bo9bo3bo$21bo270b2o383b2o32bo6b2o
71bo13b2o11bo$8b2o12b2o285bo397bo3bo4b2ob2o70b2o9b3o5b2o2bo2bo$8b2o
145bo137bo5b3o5b2ob4o366bobo18b4o3b4o4b4o70bobo8b3o6b3o$75bo72bo5bobo
134b2obo2b5o4b2ob3ob2o366b2o6bo10bo3bo12b2o83b3o5b2o2bo2bo$75bo70b2ob
2o141bo3bo2bo7bob3obo351bo15bo6bobo4b2o7bo100b2o11bo$24bo50bo70b2o3bo
2b3o139bo2b2o4b4o3bo307b3o40bo3bo18b2o2bo3b4o2bo2bo92bo7bo9bo3bo12b2o$
23bobo32bo12bo74b2ob2o142bo10b3ob2o309bo3bo44bo15b2obo5bo3b2o97b2o17b
4o3b4o4b4o$23bob2o31b2o10bo2b3o71b4o153b5o310b2ob2o39bo4bo6bobo8b2o2bo
3b4o2bo2bo91bobo23bo3bo4b2ob2o$25b2o32bo11bo4bo58b2o170bo296bobo11bo4b
o40b5o7b2o10bobo4b2o7bo86b2o32bo6b2o$2o21b3o46bo3bo58b2o468b2o10b6o53b
o12bo10bo3bo57b2o24b3ob2o27bo2bo$2o22bo48b3o220b2o307bo15b2o78b4o55bo
4bo22b5o8bo$20bo2bo32b3o236bo2bo321b2o144bo22b3o9b2o16bo8bo$19bo6bo28b
3ob2o235b2o319bo3bo63b2o73bo5bo4bo2bo25bobo12bo3bo7b4o$19bo6bo29bo2b2o
13bobo541bob2o61b2ob2o73b6o8bo38bo3bo3b8obo$19b3o4bo23b2o4b2ob2o13bobo
544bo61b4o84bo3bo39bo6bo8b2o$32bo17b2o5bobo14bobo71bo473b2o51b2o7b2o
86b4o30bo9b2o9bob3o$31b3o24bo15bobo50b2o18bobo471bo53b2o7bo101b4o16b2o
13b2o5b3o$30b2ob2o39b2o51b2o17bo2bo152bo370bo8bo3bo91b2o4b7o14bobo13bo
3bo$30bobob2o111b2o135bo14bo4b2o365b3o7bo5bo90bobo2b2ob3ob2o$29b3o2b3o
131bo113b2ob2o2b2o7bo3b2o5b2o362bo7bo5bo81b2o6b2o2bo2b2o3b2o40b2o$28bo
6bo115b2o14bobo113bo2b2ob3o6b2obo7b2o371b6o79b2o2bo6bo2bo48b4o$28bob5o
24bo91b2o13bo3bo113b2obobobo480bo6bobo4b2o42b2ob2o$27b2ob4o7b2o15b3o
106bobo116b2o382b2o95bo5bo6bo8bo25b2o15b2o$28bo29b4o106bo117bob2o378b
2ob2o95b3o19bo22b2ob2o$29bo9bo21b2o56b2o38b2o24bo96bo4b2o372b2o5b4o99b
obo12bo3bo22b4o$39b3o3bo9b2o4bo5bobo49b2o37bo2bo3b4o15bobo96bo4bo368b
4ob2o5b2o116b4o23b2o$40b2o12bo10bo93b2o3bo4bo111b3o373b6o142b2o$44b2o
8bo10b2o3b2o9b3o83bo7b3obo3bo2bo114b2o355b4o142b4o$31bo22bo9bob3o2bo
91bo2bo3bo8bo4bo116b2o491bo9b2ob2o$30bob2o20bo3bo2bob3o3b3o10bo81bob3o
bo5bobob2obo610bo11b2o$55bo4b6o11b3ob2o82bob3o7bo3b2o607bo2b2o4bobo$
30bo31bo15b4obo97bo608bo7bo2b2o$29b2o2bo23bo2bo18b3obo27b2o668b2o7bo2b
2o4bobo$28b2o29bo20b3o22bo5b2o668b2o11bo11b2o$32bo48bo23bo17bo22b2o7b
2o7b3o78b2o547bo9b2ob2o3b2o5bo2bo$30bobo72bo9bo7bo22b3o5b3o88b3o45b2o
491b2o16b4o3b4o8bo$32bo55bo12bo13b3o5bo120bob2o45b2o490bobo17b2o4b2ob
2o3bo3bo$26bo4bo48b2ob2o3b2o10bo2b3o11bobo3b2o18bo19bo80b3o531b5o4bo
25b2o5b4o$27b4o49b2ob2o4bo11bo4bo8bo2bo23bobo17bobo80bo531bo4bo$80b2ob
o18bo3bo8b2o2bo21b2ob2o17bo618bo26bo$42b2ob2o34b2o20b3o35bo2bo29bo602b
o3bo9b2o15b2o$20b2o5bo2bo3b3o8b2o39b3o51b3o29b3o372bo231bo10bobo14bob
2o7b2o$20b2o5bo8bo4bobob2o38b3ob2o49bobo28bo3bo6bo353bo11bo243bo14bobo
7bo2b2o$26bo5bob2o5bobo42bo2b2o13bobo33b2o29bo4b3o3bo351bobo9b3o258b2o
3bo3b3o2bo$27bo3b2o8b2o43b2ob2o13bobo33b2o29b2obob3o3bo352b2o91bo180bo
b3o2bo4bo$27b4o56bobo14bobo66bo3b2o449bobo165b2o18b5o$88bo15bobo521b2o
165bobo19b2o$104b2o691bo$143bo675bo2bo$12b2o128bobo642b5o31bo$12b2o
128bobo641bo4bo27bo3bo$18b2o123bo32b2o613bo11b4o13b4o$17bo2bo68b3o84b
2o607bo4bo11bo3bo$16b2o69b2o3bo577bo117bo17bo$17b2o3bo28bo617bo113bo2b
2o14bo2bo$18bo4bo27bo40bo19bo556b3o78b6o26bo3bo2bo$21b3o27bo35bo3bo8b
2o9bo23bo605bo7bo5bo27bo7bo$47bo40b3o9b2o9b3o20bobo602b3o7bo5bo27bo2bo
5bo$46bo2b3o82bobo604bo8bo3bo32b2o3bo$47bo4bo82bo19bobo10b2o200b2o371b
2o7bo32b2o2b4o$48bo3bo73bo27b2ob2o9b2o202bo370b2o7b2o$49b3o72b3o27b2ob
o211bo2bo378b4o$73b3o47bo2b2o25bo214b4ob2o376b2ob2o41bo$122bo2bo28bo
197b3o20bo377b2o40bo3bob6o$50bobo17b2o20b2o29bo2bobo25bo211bo2b3o3bo
418b3o3bo5bo$50bobo3b3o10bo22b2o31b3o231bobo3b3obo2bo2bo177bobo238bo5b
o5bo$50bobo5bo11bob4o49bo234bo4b3o4b2o180b2o215b2o21bob2o3bo3bo$50bobo
18b5o49bobo32b2o204bobob2o182bo81bo123bo8b2ob2o21b3o5bo$50b2o74b2o32b
2o182b2o6bo14bob2o173bobo87b2o122bobo4bo3b4o30b2o$55bo2bo285b2o5b4o12b
o177b2o88b2o108b3o9bo2bo5bo3b2o30b4o$55b2obo14bobo275bo3bo189bo201bo9b
o6bo2bo34b2ob2o$55bo2bo14bobo276bo2bo390bo10bo2bo5bo3b2o32b2o$56bobo
15bo270bo6b3o403bobo4bo3b4o$56b3o14bobo10bo252b3ob2obo413bo8b2ob2o$73b
2o11b2o27b3o223b4o119b3o277bo5b3o18b2o5b2o5b4o33b2o$74bo10bobo26b5o
217b2o4bo2b3o119bo274bo3bo5bo23b2ob2o3bo3bo18bo12b2ob2o$114b3ob2o220bo
122bo3bo279bo3bo24b4o8bo18bo8bo3b4o$117b2o217b2o4b2o119b2o3b2o272bo4bo
29b2o5bo2bo23b2o2bobo3b2o$339b3o120bo2bobo2bo272b5o54b2o6bo2b2o3bo$
461b2o2bobo2bo284b3o14b2o9bo27b2o2bobo3b2o$59bo45bobo251bo4b2o95bo2b2o
b2o288bo12b5o8b3o7b2o12bo8bo3b4o$57b2ob2o46bo241bobo4b2ob2o2b2o96bo4bo
288bo13b2o4bo5bo3bo13b3o4bo12b2ob2o$56b2ob3o42bo2bo47b3o191bo2bo4b2o
19bo81b2ob2o305b2o5b5o4bo7bo7bo19b2o5b2o5b4o$56b5o42bobo48b5o190bo2bo
3bo20bobo82b4o306b2o4b4obob2o6bo3bo3bo25b2ob2o3bo3bo$57b3o9b2o17b3o11b
o51b3ob2o190b2o5b2obo14b2o2bo83b2o295b3o12b3ob2o3bo13bo28b4o8bo$58bo
10b2o30b3o53b2o201bo14b7o380bo18bobo9bo4bo29b2o5bo2bo$38bo64bo253b2obo
14bo3bo2bo378bo32b5o6b3o$39bo64b2o251b2obo11b7o2b3o423bo$37b3o47b3o13b
o254bob2o14bo2b3o82bo320b4o17bo20bo7b2o$70bo9b2o5b3o12bo2bo253b2o15b2o
b2o19b2o61bo303bo2bo13bo3bo29b5o7b2o3bobo$70b2o7bo2bo5b2o13bobo89b3o
39b2o133bo2bob3o22bo61bo306bo16bo29bo18bo$69bobo8b2o8bo14bo88b5o38b3o
133b2ob3o20bo2bo364bo3bo12bo2bo22b3o6b3o13b3o$61b2o25bo2b2o101b3ob2o
36bob2o135bo22b4ob2o363b4o40bo7bo4b2o$61b2o24bo3bo105b2o37b3o143b3o20b
o405bo13b2o$88bo2bo145bo158bo2b3o3bo52b2o$88b3o298bobo3b3obo2bo2bo51bo
2bo5bo$390bo4b3o4b2o53bo2bo5bo5bo295bo2bo64b4o$72b2o322bobob2o55b2ob2o
4bo5b2o298bo45bo2bo13bo3bo$71bo2bo160b3o144bo14bob2o58b2o10b2obo293bo
3bo49bo16bo$72b2o160b5o142b4o12bo72b2o2bo294b4o13b4o28bo3bo12bo2bo$
100bo133b3ob2o141bo3bo83b3ob4o308bo3bo29b4o$99b3o135b2o143bo2bo82b2o2b
obo2bo287b2o22bo$98bob3o279b3o83b3obobobo287bo20bo2bo$99bo3bo325b2o37b
ob3ob2o288bo$97bo2bo2b2o325b2o35bobo2b4o18b3o220bo2bo42b2o$54bo9b2o31b
4o2b3o129b2o192bo38bo3bo24bo223bo58b2o3b2o$54b2o7bo2bo29bo2bo3bo130bob
o37b4o190bo3bo20bo3bo219bo3bo56bo6bobo$53bobo8b2o30bo6bo132bo36b6o190b
o2bo20b2o3b2o218b4o13b4o20bo17bo2bo6bo$98bo2bo171b4ob2o212bo2bobo2bo
233bo3bo18bobo16b2o7b3o$95b2ob2o177b2o212b2o2bobo2bo237bo6bo12b2o17b2o
$57bo41bo23bo270b2o95bo2b2ob2o235bo2bo5bo3bo$56bobo63bobo269b2o96bo4bo
217b3o30bo$56bobo310bo120b2ob2o219bo3bobobo10bo9bo4bo5bo$57bo63bo2bo
244bo122b4o218bo7bo10b3o8b5o3bobo24b2o5b4o$121b2o191b4o175b2o214bo5b2o
15bo3bo16b2o16b2o4b2ob2o3bo3bo$61b2o58bo191b6o61b2o325bobo19b3o4bo33b
4o3b4o8bo$60bo2bo249b4ob2o60b2o326b2o10bo8b3obob2o33b2ob2o3b2o5bo2bo$
61b2o254b2o375bo34b2o3bo14b2o10b3ob2o5b2o$77b2o307b2o304bo3bo34bobo13b
o2bo9b2o5bo$77bobo306b2o309bo6bo43bo10bo7b2o$77bo45b2o567bo4bo4bobo55b
2o5bo$122bo96b2o149b2o321b5o5b2o23b2o5b4o22b3ob2o5b2o$122b2o20b3o71bob
o133b4o11b2obo347b2o4b2ob2o3bo3bo31b2ob2o$122b2o3b3o14b3o73bo132b6o10b
2ob2o345b4o3b4o8bo31b4o$127b2o4bobo7bo3bo205b4ob2o8b2ob2o326bo9bo9b2ob
2o3b2o5bo2bo33b2o$121bo7bo2bo2bo5b3ob2o210b2o10bobo325bobo9bo11b2o30b
2o$120bo8b3obobo4bo4b2o223bo327b2o5bo2b2o4bobo35b4o65b4o$119bo2bo5bobo
9bo2bo239b2o320bo7bo2b2o34b2ob2o63bo3bo12bo2bo$120b3o3b2obo11b2o238bo
4bo318bo2b2o4bobo37b2o68bo16bo$120b2o5bobo38bo218bo321bo11b2o97bo2bo
13bo3bo$77bo73b2o14b3o211bo5bo321bo9b2ob2o114b4o$68bo7bobob2o69bo4bo2b
o10bo211b6o331b4o27b2o$67b2ob2o2b2ob2o2bo26bo41bo2bo2b3o6b2ob2o550b2o
25bob8o$67bo5bobo5bo27bo40bo2bo2b2o5b2ob3o369bo163b2o43bo8bo56bo13b2o$
67bo8bo2b2o28bobo38bo2bo9b4o371b2o161b4o44bo6bo13b4o40bo7bo4b2o$68bo2b
3o2bo32bo12b2o26b3o384bobo161b2ob2o49bo13bo3bo12bo2bo22b3o6b3o13b3o$
57b2o15b3o33bobo9b2o579b2o47b2o19bo16bo29bo18bo$57b2o53bo90b2o531b2o3b
o27bo2bo13bo3bo29b5o7b2o3bobo$110bobo89bobo241b2o248bo38bo6bo44b4o17bo
20bo7b2o$110b2o92bo238b3ob2o246b6o41bo66bo$443b5o246bo3b8o29b2ob5o20bo
32b5o6b3o$142b2o300b3o248b2o8bo25b2o2b2o27bo18bobo9bo4bo29b2o5bo2bo$
141b3o552b3o6bo25b2o2bobo24b3o12b3ob2o3bo13bo28b4o8bo$114b2o25b2o3bo
550b2o5bo29bo2bo36b2o4b4obob2o6bo3bo3bo25b2ob2o3bo3bo$49b2o63b2o585b2o
32bobo34b2o5b5o4bo7bo7bo19b2o5b2o5b4o$49b2o5b2o3bo696bo13b2o4bo5bo3bo
13b3o4bo12b2ob2o$56b2ob2ob2o6bo2bo663b5o17bo12b5o8b3o7b2o12bo8bo3b4o$
56bo7bo3b3o91b2o572bo4bo15b3o14b2o9bo27b2o2bobo3b2o$55b2o6bo3b4ob2o3b
2o83b2o577bo3b5o54b2o6bo2b2o3bo$56b2o2b2o4b2o9b2o63bo593bo3bo3bo4bo29b
2o5bo2bo23b2o2bobo3b2o$56b2o2b2o81bo594bo10bo3bo24b4o8bo18bo8bo3b4o$
143bo600bo3bo5bo23b2ob2o3bo3bo18bo12b2ob2o$71bob3o670bo5b3o18b2o5b2o5b
4o33b2o$73b2o9bo102b2o573bo8b2ob2o$74bob2o4b2ob4o97bobo480bo90bobo4bo
3b4o$75b3o3b2ob3ob2o64b2o32bo478bobo78bo10bo2bo5bo3b2o32b2o$82bob3obo
65b2o512b2o79bo9bo6bo2bo34b2ob2o$74b2o4b4o3bo659b3o9bo2bo5bo3b2o30b4o$
79b3ob2o587bo87bobo4bo3b4o30b2o$79b5o548b2o36b2o90bo8b2ob2o21b3o5bo$
82bo549bobo36b2o100b2o21bob2o3bo3bo$632bo163bo5bo5bo$796b3o3bo5bo$489b
2o264b2o40bo3bob6o$490b2o261b2ob2o41bo$489bo263b4o$745b2o7b2o$745b2o7b
o32b2o2b4o$77b2o477b2o185bo8bo3bo32b2o3bo$78bo14bo77b2o384b2o182b3o7bo
5bo27bo2bo5bo$93bo76bobo383bo82b4o100bo7bo5bo27bo7bo$77bo15bo78bo359bo
105b6o27b3o78b6o26bo3bo2bo$77bo11bo442b2o104b4ob2o5b2o19bo113bo2b2o$
88bo2b3o437bobo108b2o5b4o19bo117bo$89bo4bo554b2ob2o133bo4bo7b2o$90bo3b
o556b2o140bo5b4o$69b2o20b3o694bo4bo5b2ob2o$69b2o592b6o120b5o7b2o15b2o$
609bo51b2o5bo147b2ob2o$92bobo513bobo48b2obo5bo147b4o$92bobo511b2o2bo
52bo3bo149b2o$92bobo511b3o56bo126bobo$92bobo513bo56b2o126b2o$92b2o511b
3o56b4o125bo13bobo3b4o$664b2ob2o136bo4bo2bo2b2o$155b2o447b3o59b2o137bo
3bo4bo2b2o$103b3o48bobo447bo182bobo14bo3bo5bo2bo$64b2o4b2o24bo59bo450b
3o72b4o102b2o15b2o8b2o$94b3o5b2o503bo4bobo55bo10bo3bo89b3o10bo16b2o$
95bo4b4o503bo2bo3bo30b5o19bobo4b2o7bo88b5o$95b2ob3ob2o504bobo3bo29bo4b
o17b2o2bo3b4o2bo2bo89b3ob2o27bo2bo$96bobo510b2ob2o35bo10bo4b2obo5bo3b
2o97b2o3bobo26bo6b2o$644bo3bo11b2o5b2o2bo3b4o2bo2bo98b2o22bo3bo4b2ob2o
$646bo12bobo7bobo4b2o7bo97bo17b4o3b4o4b4o$670bo10bo3bo12b2o90bo9bo3bo
12b2o$682b4o3b4o4b4o77b2o11b2o11bo$665bo22bo3bo4b2ob2o76b2o8b3o5b2o2bo
2bo$79bo28bo549b2o5b2o25bo6b2o86b3o6b3o$80bo26bobo2b2o7b2o532b3ob2o3bo
bo21bo2bo96b3o5b2o2bo2bo$78b3o25bo3b4o6b3o532b5o131b2o11bo$109bo7bobob
2o487b2o8bo2bo32b3o131bo9bo3bo$104b2obo10b2o19b2o455bo7bob4ob2o11bo45b
o18b2o110b4o$105bobo30bobo455bo7bo2b5o8bo3bo45b2o17bo7b2o$100b2o4bo33b
o463bo3b3o10b4o44bobo17bo2bo5b2o85b2o$100b2o496bo91b3o4b2o70b2o12b2ob
2o$598bo77bo15b2o3bo70b3o12b4o$608b4o64bo87b4obo14b2o$607bo3bo64bobo
85b2ob2o7b3o5bo$611bo65bo20b2o65bob2o6bob2o3bo3bo$607bo2bo66b2o18b4o
65bo8bo5bo5bo$625bo2bo68b2ob2o73b3o3bo5bo$629bo52b2o15b2o75bo3bob6o$
625bo3bo50b2ob2o93bo$99b2o500b2o12b2o9b4o50b4o86b2o$99b2obo4b2o493b2o
10b2o5b3o57b2o85b2ob2o$102bobobo3bo5b2o483bo8b3o6b2ob2o137b2o5b4o$95b
2o6b2obob2o6b2o496b2o5b3o133b4ob2o5b2o$95b2o7b2o3bo13b2o490b2o9b4o127b
6o$122bobo481b2o17bo3bo2bo2bo122b4o$124bo19bo462b2o20bo6bo6b2o$144b4o
452b3o3bo18bo2bo3bo3bo4b2ob2o$599b5o29b4o4b4o$128b3o468b3ob2o37b2o$
108b2o439b2o51b2o7b2o$108b2o18b2o12bobo405b2o60b2o20bo$128b2o13bo405bo
61bo20bo4bo3bo$127bo2bo13b2o478b2ob2o3bo3bo4b2o$120b2o8bo11bo2bo478bo
2bo8bo5b2o$120b2o7b3o10b2ob2o469b2o7b3o13b2o$95bo34b2o485b2o11bo2bo$
96bo30b2o487bo14b2o$94b3o3b2o24bo2bo462bo$100b2o490b2o$107b2o21b2o459b
obo49b2o$89bo16bobo19bo2bo493b2o14b2ob2o$88bobo17bo19b3o484b4o5b4o13b
4o$88bobo25bo3bo14bo477b7o4b2ob2o13b2o$89bo25b2o17b2o475b3ob3ob2o5b2o$
114bo5bo12b2ob2o473bob2o3b2o$93b2o20b5o4bo9b2o4b2o$92bo2bo20bo6b2o9bo
5b2o473b2o$93b2o27b2o7b2ob2o482bo$123bo10b3o14bobo465bo$124bob3o3bo18b
3o461bo3bo$126b3o4bo2bo15b2o462b4o$133b3o$607bo$150bo456b2o25b4o$150bo
bo453bobo14bo9bo3bo$109bo27bo12b3o471b2o11bo$108b2o27bo11bo471b3o5b2o
2bo2bo$108bobo38b5o12bo445bo7b3o6b3o$157b2o7b5o442bo7b3o5b2o2bo2bo$
157b3o4bobo3bo441bo11b2o11bo$156b3o3b3o3b3o452bo9bo3bo12b2o$158b3o2b2o
469b4o3b4o4b4o$164bo20bo431bo22bo3bo4b2ob2o$165b3o15b2ob2o422b2o5b2o
25bo6b2o$166b2o439b3ob2o3bobo21bo2bo$183b2o422b5o$183bo424b3o$185bo3bo
432bo18b2o$181bo3bo436b2o17bo7b2o$208bo412bobo17bo2bo5b2o$207bobo432b
3o4b2o$141bo45bo18b2ob2o417bo15b2o3bo$140b2o42b3o19b2ob2o417bo$140bobo
66b3o403b2o11bobo$171b2o18b2o12bo3b3o389bo7bob4ob2o11bo20b2o$171b2o13b
o4b2o11bo4b3o389bo7bo2b5o12b2o18b4o$185bo2bo14bo5b2o398bo3b3o33b2ob2o$
185bo3bo18b3o392bo30b2o15b2o$208b2o393bo28b2ob2o$185b2o20b2o404b4o15b
4o$186b4o2b2o418bo3bo16b2o$616bo$163b2o26b3o14bo403bo2bo$163b2o26bobo
13b3o420bo2bo$206bo3bo423bo$191bo13b2o423bo3bo$191b2o13b2o412b2o9b4o$
191b2o426b2o5b3o$615b3o6b2ob2o$192b2o415b2o8b2o5b3o$191b3o416b2o8b2o9b
4o$193b3o413bo20bo3bo2bo2bo$195bo438bo6bo6b2o$605b3o22bo2bo3bo3bo4b2ob
2o$194b3o6b2o399b5o5b2o22b4o4b4o$196bo6b2o399b3ob2o5b2o30b2o$194b3o
410b2o5bo$641bo$640bo3b3o$619b2o18bo3bob3o$620b2o18bo6b2o$619bo6bo14b
5obo$195b2o428bo6bo10b4o$195b2o428bob2o3bo11bo$626b3o$627bo$648b2o$
630b2o14b2ob2o$629b4o13b4o$629b2ob2o13b2o$631b2o!


The hwss-rakes are minimal optimized.
Is there a mono-spaceship, witch can replace the cordership-konglomerate on the second example.
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Re: Thread for your unsure discoveries

Postby 2718281828 » November 12th, 2017, 6:45 pm

Not sure if it is known or interesting, but this is likely the smallest Heisenburp in terms of size and bounding box just involving gliders
x = 7, y = 8, rule = B3/S23
3bobo$4b2o$4bo2$5bo$2o2b2o$b2obobo$o!

the smallest and trivial one should be
x = 5, y = 5, rule = B3/S23
bo$o$2bobo$3b2o$3bo!
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Re: Thread for your unsure discoveries

Postby Kazyan » November 12th, 2017, 10:47 pm

As a random Cool Thing, here's a Bellman-derived catalyst with an interesting mechanism of action. Not as general as I'd hoped, but still returns results from H and R signals.

x = 11, y = 15, rule = B3/S23
5bo$2o2bobo2b2o$o3bobo3bo$b3obob3o$3bobobo$3bobo$4b2o6$7b2o$8b2o$8bo!
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Re: Thread for your unsure discoveries

Postby A for awesome » November 20th, 2017, 10:46 pm

Component:
x = 13, y = 13, rule = B3/S23
11bo$10bo$2bo7b3o$3bo3bo$b3ob2o$6b2o$9b3o$b2o6bo$o2bo6bo$3o$3b3o$2bo2b
o$3b2o!
x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

$$x_1=\eta x$$
$$V^*_\eta=c^2\sqrt{\Lambda\eta}$$
$$K=\frac{\Lambda u^2}2$$
$$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$

http://conwaylife.com/wiki/A_for_all

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Re: Thread for your unsure discoveries

Postby Bullet51 » November 21st, 2017, 7:32 am

Is this catalysis known?
x = 16, y = 16, rule = B3/S23
14b2o$12bo2bo$11bob2o$11bobo$10b2obo$2b3o3bo3bo$bo3bo2b4o$o5bo$o5bo3b
2o$o5bo4bo$bo3bo2b3o$2b3o3bo$10b3o$11bo2bo$9bo3b2o$9b2o!
Still drifting.
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Re: Thread for your unsure discoveries

Postby A for awesome » November 21st, 2017, 9:33 am

Bullet51 wrote:Is this catalysis known?
x = 16, y = 16, rule = B3/S23
14b2o$12bo2bo$11bob2o$11bobo$10b2obo$2b3o3bo3bo$bo3bo2b4o$o5bo$o5bo3b
2o$o5bo4bo$bo3bo2b3o$2b3o3bo$10b3o$11bo2bo$9bo3b2o$9b2o!

Yes, and it's equivalent to two eaters:
x = 12, y = 11, rule = B3/S23
10b2o$10bo$2b3o3bobo$bo3bo2b2o$o5bo$o5bo$o5bo$bo3bo2b2o$2b3o3bobo$10bo
$10b2o!

There are cases involving welds in which yours works and two eaters don't, however.
x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

$$x_1=\eta x$$
$$V^*_\eta=c^2\sqrt{\Lambda\eta}$$
$$K=\frac{\Lambda u^2}2$$
$$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$

http://conwaylife.com/wiki/A_for_all

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Re: Thread for your unsure discoveries

Postby A for awesome » November 21st, 2017, 11:37 am

Don't know if this is known or not:
x = 31, y = 39, rule = B3/S23
7b2o$7bobo$8bo2$15b2o$15b2o$4b2o$4b2o2b3o10b2o$8bo4b3o4bobo$8bobo4bo5b
o$13bobo2$7bobo$bo5bo4bobo$obo4b3o4bo$2o10b3o2b2o$17b2o$6b2o$6b2o2$23b
2o$23b2o$12b2o$12b2o2b3o10b2o$16bo4b3o4bobo$16bobo4bo5bo$21bobo2$15bob
o$9bo5bo4bobo$8bobo4b3o4bo$8b2o10b3o2b2o$25b2o$14b2o$14b2o2$22bo$21bob
o$22b2o!
x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

$$x_1=\eta x$$
$$V^*_\eta=c^2\sqrt{\Lambda\eta}$$
$$K=\frac{\Lambda u^2}2$$
$$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$

http://conwaylife.com/wiki/A_for_all

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Re: Thread for your unsure discoveries

Postby dvgrn » November 21st, 2017, 1:39 pm

A for awesome wrote:Don't know if this is known or not:
[p11 pinwheel interaction]

Yup, it looks like Nicolay Beluchenko mentioned that interaction in 2009, along with two other options involving barges:

x = 103, y = 77, rule = B3/S23
23boo62boo$23bobo61bobo$24bo63bo$$23boo62boo$22bobboo4boo53bobboo4boo$
21bo7bo3bo51bo7bo3bo$21bo6b3o3bobboo27boo17bo6b3o3bobboo$7boo14bobb3o
5bobobo27bobo18bobb3o5bobobo$7bobo12boobobboo3bo3bo29bo18boobobboo3bo
3bo$8bo14b3o4bobbo53b3o4bobbo$24bo5bo35boo20bo5bo$7boo12bobbo4b3o33bo
bboo4boo9bobbo4b3o$6bobboo4boo4bo3boobboboo31bo7bo3bo4bo3bo3boobboboo$
5bo7bo3bobbo5b3obbo32bo6b3o3bobbobobo5b3obbo$5bo6b3o3bobo3b3o6bo32bobb
3o5bobobobbo3b3o6bo$7bobb3o5bobbo3bo7bo31boobobboo3bo3bo4bo3bo7bo$6boo
bobboo3bo4boo4boobbo33b3o4bobbo9boo4boobbo$7b3o4bobbo12boo35bo5bo20boo
$8bo5bo49bobbo4b3o$5bobbo4b3o14bo29bo3bo3boobboboo18bo$bo3bo3boobboboo
12bobo27bobobo5b3obbo18bobo$obobo5b3obbo14boo27boobbo3b3o6bo17boo$oobb
o3b3o6bo46bo3bo7bo$5bo3bo7bo47boo4boobbo$6boo4boobbo56boo$14boo$73bo$
14bo57bobo$13bobo57boo$14boo10$51boo$50bobo$51bo$$51boo$43boo4boobbo$
42bo3bo7bo$37boobbo3b3o6bo$37bobobo5b3obbo$38bo3bo3boobboboo$42bobbo4b
3o$45bo5bo$44b3o4bobbo$43boobobboo3bo3bo$30boo12bobb3o5bobobo$30bobo9b
o6b3o3bobboo$31bo10bo7bo3bo$43bobboo4boo$30boo12boo$29bobboo4boo$28bo
7bo3bo4bo$28bo6b3o3bobbobo$30bobb3o5bobobo$29boobobboo3bo3bo$30b3o4bo
bbo$31bo5bo$28bobbo4b3o$24bo3bo3boobboboo$23bobobo5b3obbo$23boobbo3b3o
6bo$28bo3bo7bo$29boo4boobbo$37boo$$37bo$36bobo$37boo!
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Re: Thread for your unsure discoveries

Postby gmc_nxtman » November 21st, 2017, 5:03 pm

4-glider synthesis of a Rabbits relative. Stabilizes at T=17,420.

x = 16, y = 7, rule = B3/S23
9b3o$9bo$10bo$13b2o$b2o5b2o3bobo$obo6b2o2bo$2bo5bo!


EDIT: Also this simple predecessor that leads to many 4-glider syntheses:

x = 7, y = 6, rule = B3/S23
5b2o$4b2o$2o4bo$ob2o$3bo$b3o!
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