## Randomly enumerating glider syntheses

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.
Ian07
Posts: 694
Joined: September 22nd, 2018, 8:48 am

### Re: Randomly enumerating glider syntheses

From goldenratio's BokaBB_stdin. (don't ask me why it's called that)

xp2:

Code: Select all

``````x = 14, y = 20, rule = B3/S23
12bo\$11bo\$11b3o8\$5bo\$5bobo2b2o\$2o3b2o2b2o\$b2o8bo\$o3\$b2o\$obo\$2bo!``````

xs12:

Code: Select all

``````x = 207, y = 50, rule = B3/S23
132bo\$130bobo\$131b2o16\$4bo191bo\$5bo190bobo\$3b3o19bo170b2o\$25bobo\$25b2o
4\$3o\$2bo5bo2bobo\$bo4bobo2b2o\$7b2o3bo3\$179bo\$180bo\$178b3o2\$175bo\$175b2o
\$174bobo9\$204b3o\$204bo\$205bo!``````

xs13:

Code: Select all

``````x = 367, y = 51, rule = B3/S23
330bobo\$331b2o\$331bo14\$197bobo\$198b2o\$198bo5\$108bo\$109b2o\$28bo79b2o\$
27bo\$27b3o\$128bo\$127bo\$127b3o\$360bo\$361b2o\$3bo356b2o\$3b2o5b3o\$2bobo5bo
106b2o104bobo12bo118bo\$11bo106b2o104b2o11bo117bobo\$117bo106bo12b3o108b
2o6b2o\$128bo218bobo\$bo21b2o102b2o97b2o121bo\$b2o20bobo91b3o7bobo95b2o6b
2o129b2o\$obo20bo95bo107bo4b2o130bobo\$118bo115bo129bo3\$233b3o125b3o\$
233bo129bo\$234bo127bo\$355b2o\$354bobo\$356bo!``````

xs14:

Code: Select all

``````x = 289, y = 23, rule = B3/S23
2bo\$obo\$b2o8bo\$9b2o108bo\$10b2o6bo95bo2b2o\$16b2o97bo2b2o51bo\$17b2o94b3o
54bobo\$170bobo103bo\$124bo46bo105bo\$16bo106b2o49bo100b3o9bo\$16bobo104bo
bo48bo111bo\$16b2o147b2o7bo4b2o91bo13b3o\$119b2o44bobo10bobo92bo\$118bobo
45bobob2o7bo91b3o\$120bo47bobo\$168bo2bo\$9b2o158b2o9b2o93bobo\$9bobo103b
2o63bobo93b2o2b3o\$9bo104bobo63bo95bo3bo\$116bo164bo\$2b2o\$bobo\$3bo!``````

xs15:

Code: Select all

``````x = 488, y = 58, rule = B3/S23
215bo6bo\$216b2o4bobo\$215b2o5b2o7\$218bo\$217bobo\$212b2o3bo2bo\$211bobo4b
2o\$213bo150bo97b2o\$363bo97bo2bo\$363b3o96bobo\$obo376bo81b2ob2o\$b2o87bo
20bo86b2o161bo17bobo79bo\$bo6bo82b2o17bo86bobo162bo16b2o78bobo\$6bobo81b
2o18b3o86bo160b3o96b2o\$7b2o378bo\$385b2o96bo\$14bo371b2o94bobo\$15bo467bo
bo\$13b3o468bo2\$485b2o\$461bo23bobo\$99bo361bo23bo\$98bo362bo\$93b2o3b3o
352bobo\$16b2o76b2o352bo5b2ob3o3b3o\$16bobo74bo353bobo4bo\$16bo430bobo11b
o\$448bo6bo5bo6b2o\$89b2o354b2o8bo5bo5bo2bo\$90b2o352bobo8bo12bobo\$14b2o
73bo292bo63bo22bo\$13bobo353b2o10b2o\$15bo352bobo10bobo\$370bo15\$189b3o\$
191bo\$190bo!``````

xs16:

Code: Select all

``````x = 573, y = 69, rule = B3/S23
475bo\$474bo\$474b3o3\$117bobo\$118b2o\$118bo15\$289bobo\$289b2o\$285bo4bo\$
286bo34b2o\$146bo130b3o4b3o33bobo\$144bobo132bo39bo7b2o\$145b2o131bo39bo
7bo2bo\$13bo304b2o6bo2bo\$11b2o307bo6b2o\$12b2o304b2obo\$4bo313bo2bo229b2o
\$5bo313b2o3b3o128bo95bo\$3b3o320bo129bo96bo\$276b2o47bo128b3o92b5o\$277b
2o269bo\$276bo13bo164bo93b3o\$22b3o126bo3b2o132b2o164b2o95bo\$22bo128b2o
2bobo131bobo162bobo14bo79b2o\$23bo126bobo2bo313b2o\$470b2o94b3o\$bo4b3o\$b
2o5bo451b2o102bo5bo\$obo4bo453b2o101bo5bo\$460bo103bo5bo2\$560b2o4b3o\$
559bo2bo\$560b2o9bo\$570b2o\$471b3o96bobo\$471bo88bo\$472bo87bo\$560bo9\$116b
3o\$118bo\$117bo\$172b3o\$172bo\$173bo!``````

xs17:

Code: Select all

``````x = 998, y = 110, rule = B3/S23
421bo\$419b2o\$420b2o\$579bo\$577bobo\$578b2o\$581bo\$580bobo\$416bo7b2o154bob
o\$414bobo6b2o156bo\$415b2o8bo\$780bo\$417b3o358bobo\$417bo361b2o\$418bo355b
o\$404b3o365bobo\$406bo366b2o\$405bo376bo\$583b2o195bobo\$579b2o2bobo183b2o
10b2o\$578bo2bobobo182bobo\$579b2obobo185bo\$582bo201bo\$582b2o198b2o\$199b
o579bo3b2o208bo\$197bobo577bobo199b2o11bobo\$198b2o578b2o198bo2bo10bobo\$
8bo969bobo12bo\$9b2o122bo67bo773b2ob2o15b2o\$8b2o121bobo67bo774bo18bobo\$
132b2o67bo772bobo18bo\$14bo958bobo\$14bobo956b2o\$14b2o2\$147bobo50b2o\$
147b2o50bobo\$148bo50b2o\$197b2o\$198bo\$142b3o53bob2o\$142bo56bo2bo\$32b2o
109bo6b2o48bobo\$b2o28b2o117bobo48bo\$obo30bo116bo4b2o\$2bo152bobo\$155bo\$
20bo\$19b2o\$19bobo13\$461b2o\$460b2o\$462bo23\$346b2o\$347b2o\$346bo18\$861b2o
\$861bobo\$861bo!``````

xs18:

Code: Select all

``````x = 102, y = 39, rule = B3/S23
82bo8b2o\$80bobo7bo2bo\$81b2o7b2obo\$93b2o\$84b2o4b2obo\$84b2o2bo2bobo7bo\$o
bo85b2o2bo6b2o\$b2o97b2o\$bo94b2o\$96bobo\$97bo7\$11bo\$12b2o\$11b2o2\$24bo\$
22b2o\$23b2o\$89b2o\$88bo2bo\$89b2o3\$6bo\$3o2b2o\$2bo2bobo84b2o3bo\$bo90b2o2b
obo\$96bobo\$97bo2\$94b2o\$95b2o\$94bo!``````

xs19:

Code: Select all

``````x = 520, y = 76, rule = B3/S23
498bo\$499bo\$497b3o2\$489bo11bo\$92bobo395bo9bobo\$93b2o393b3o9bo2bo\$93bo
399b2o6b2o\$493b2o5\$obo486b2o\$b2o486b2o\$bo\$6bo3b2o\$7b2obobo\$6b2o2bo8b2o
\$18b2o\$20bo3\$374b2o\$108bo265bobo\$106b2o266bo\$107b2o\$507bo\$116bobo250b
2o135bobo6b3o\$116b2o250bo2bo134bobo\$117bo250bo2bo132b2o2b2o3bo5bo\$369b
2o132bobobo2bo2bo5bo\$103bo399bobobobo3bo5bo\$13b3o87b2o399bo3bo\$13bo88b
obo5b2o260b3o6b3o131b3o\$14bo94b2o261bo8bo\$111bo261bo8bo\$512b3o\$119b3o
392bo\$119bo393bo\$120bo\$367b2o\$368b2o\$367bo15\$419b2o\$419bobo\$419bo13\$
289b3o\$291bo\$290bo!``````

xs20:

Code: Select all

``````x = 604, y = 27, rule = B3/S23
62bo\$o60bo\$b2o58b3o\$2o56b2o\$58bobo91bo315bo132bo\$59bo92bobo313bobo53bo
74b2o\$152b2o80bo233b2o54bobo73b2o\$234bobo287b2o\$132bobo10bobo86b2o42bo
55bo43bo6bo136bo\$133b2o10b2o131bobo54bo13bo29bo4bobo134bobo\$58b2o73bo
5bo6bo131b2o53b3o5bo7bobo25b3o4bobo134bobo79bo\$57bob3o75bobo82bo51b2o
65bobo5b2o34bo136bo72b3o3b2o\$57bo4bo75b2o83bo45bo4b2o65b2o117bo51b2o3b
2o78bo4b2o\$58b3o2bo157b3o44bobo7b2o100b2o76bobo51bobobobo77bo\$18bobo
39bob2o204bobo7b2o99bo2bo71b2o3b2ob3o48b2obo82b2o\$18b2o42bo203b2o2b2o
71bobo34b2o8b2o61bobo6bo53bo2bo78bobo\$12bo6bo40bobo202bobobo2bo71b2o
43bo2bo62bo7bo52bobobo4bo74bo\$13bo46b2o202bo2bobobo72bo40b2o2bob2o122b
2ob2o5bobo67b2o\$11b3o199b3o9b2o2b3o33b2o3bo113bo2bobobo81b2o50b2o67bob
o\$57bo157bo10b2obo115b2o37bo2bobobo81bobo46b2o72bo\$57bo156bo10bo4bo
113bobo38b2o3bo64b2o16bo48b2o\$57bo288bo109b2o\$11b2o41b2o399bo\$12b2o39b
obo90b2o\$11bo4bo38bo73b3o14bobo\$16b2o113bo14bo\$15bobo112bo!``````

xs21:

Code: Select all

``````x = 364, y = 49, rule = B3/S23
182bobo\$183b2o\$183bo4\$200bo\$obo198b2o\$b2o197b2o3bo\$bo203bobo\$205b2o3\$
31bo\$29b2o171b2o\$30b2o169b2o\$203bo158bo\$361bo\$111b2o210bo37b3o\$106b2ob
o2bo210bobo32b2o\$105bobob3o211b2o33b2o\$87bo3b2o12bo242b2obobo\$88bo2b2o
13b4o210bo26bobob2obo\$17bo68b3o21bo210b2o6b2o16bo6bo\$18b2o88bobo197b2o
10b2o6b2o18b6o\$17b2o89b2o198b2o3bo16bo\$89b2o221bobo35b2o\$89b2o126bo94b
obo35b2o\$17b3o196b2o95bo\$19bo196bobo\$18bo203b2o\$221b2o\$223bo\$9b2o\$10b
2o196b3o\$9bo198bo\$209bo3\$35b3o\$35bo\$36bo138b2o\$176b2o\$175bo3\$226b2o\$
225b2o\$227bo!``````

xs22:

Code: Select all

``````x = 697, y = 83, rule = B3/S23
447bobo\$448b2o\$448bo4\$139bo\$140b2o\$139b2o3\$159bobo\$159b2o\$160bo6\$313b
2o3b2o\$313bobobobo\$157bo157bobo\$142bo14bobo154b2ob2o\$143b2o12b2o159bo\$
142b2o170b2obo\$314b2ob2o\$156b3o\$156bo417bo106bo\$157bo414bobo104bobo12b
obo\$573b2o105b2o12b2o\$576b3o116bo\$493bo87b2o2b2o103bo\$19bo471bobo87bo
4bo102bo\$19bobo470b2o4bo83b4o103b3o\$19b2o478b2o\$498b2o82b4o\$581bo4bo\$
8bobo571b3obo\$8b2o273bo223bo76b2o108b3o\$9bo274b2o222bo185bo\$17bo265b2o
221b3o186bo\$15b2o299b2o360b3o\$16b2o298b2o362bo\$13bo271b3o221bo169bo\$
11b2o495bo\$12b2o304b2o188b3o\$317b2o\$311b2o6bo\$311b2o2\$b2o506b3o\$obo
506bo\$2bo507bo3\$8b2o\$8bobo\$8bo11\$483b2o\$484b2o\$483bo10\$185b2o\$184b2o\$
186bo!``````

xs23:

Code: Select all

``````x = 26, y = 23, rule = B3/S23
24bo\$23bo\$23b3o9\$7bo\$8bo\$bobo2b3o\$2b2o\$2bo4\$21b2o\$bo19bobo\$b2o18bo\$obo
!``````

hkoenig
Posts: 173
Joined: June 20th, 2009, 11:40 am

### Re: Randomly enumerating glider syntheses

Your latest list shows this object ([16.2808]) with a seven Glider construction. It is most likely known, but I've got a six in my database--

Code: Select all

``````x=120, y=86
5bo113bo\$6b2o109b2o\$5b2o111b2o25\$89bo\$88bo\$88b3o3\$24bo\$25b2o\$24b2o8bo\$35b
o41bo\$33b3o42b2o\$77b2o2\$31b2o54b2o\$32b2o52b2o\$31bo39bobo14bo\$72b2o\$29b3o40b
o\$31bo\$30bo40b3o\$73bo\$72bo31\$91b3o\$91bo\$92bo3\$bo\$b2o\$obo!
``````

dvgrn
Moderator
Posts: 8019
Joined: May 17th, 2009, 11:00 pm
Contact:

### Re: Randomly enumerating glider syntheses

hkoenig wrote:
September 22nd, 2020, 11:11 am
Your latest list shows this object ([16.2808]) with a seven Glider construction. It is most likely known, but I've got a six in my database--

Code: Select all

``````x=120, y=86
5bo113bo\$6b2o109b2o\$5b2o111b2o25\$89bo\$88bo\$88b3o3\$24bo\$25b2o\$24b2o8bo\$35b
o41bo\$33b3o42b2o\$77b2o2\$31b2o54b2o\$32b2o52b2o\$31bo39bobo14bo\$72b2o\$29b3o40b
o\$31bo\$30bo40b3o\$73bo\$72bo31\$91b3o\$91bo\$92bo3\$bo\$b2o\$obo!
``````
These days I think we can say that if Catagolue doesn't know about a record-low-cost synthesis of this type -- and it currently doesn't -- then it's not really known, or at least not well enough known yet.

I've submitted the synthesis on the left to Catagolue's exquisitely nonmagical box, so it will hopefully know about it within eight hours.

Ian07
Posts: 694
Joined: September 22nd, 2018, 8:48 am

### Re: Randomly enumerating glider syntheses

hkoenig wrote:
September 22nd, 2020, 11:11 am
Your latest list shows this object ([16.2808]) with a seven Glider construction. It is most likely known, but I've got a six in my database--

Code: Select all

``````RLE
``````
Left one is invalid, unfortunately:

Code: Select all

``````x = 120, y = 86, rule = LifeHistory
5.A113.A\$6.2A109.2A\$5.2A111.2A25\$89.A\$88.A\$88.3A3\$24.A\$25.2A\$24.2A8.A
\$35.A41.A\$33.3A42.2A\$77.2A2\$31.2C4.D49.2A\$32.2C3.D48.2A\$31.C5.D33.A.A
14.A\$37.D34.2A\$29.3C40.A\$31.C5.D\$30.C40.3A\$73.A\$72.A31\$91.3A\$91.A\$92.
A3\$.A\$.2A\$A.A!
``````
Rewinded by 4 ticks:

Code: Select all

``````x = 171, y = 88, rule = B3/S23
5bo164bo\$6b2o160b2o\$5b2o162b2o25\$140bo\$139bo\$139b3o3\$24bo\$25b2o\$24b2o
8bo\$35bo90bo\$33b3o91b2o\$126b2o4\$31b2o87bobo15b2o\$32b2o87b2o14b2o\$31bo
89bo17bo2\$29b3o\$31bo\$30bo89b3o\$122bo\$121bo31\$142b3o\$142bo\$143bo3\$bo\$b
2o\$obo!
``````
The right one, however, should be valid; I've submitted that one so now we should see it after the next update. (fingers crossed)

EDIT: To be honest, I'm surprised how many old syntheses were later revealed to be invalid when Freywa double-checked them with Shinjuku - for example A for all and many of the synths from the original 18-bit project. I'd thought the code for this would've already existed pre-Shinjuku, but at least we have it now.

EDIT 2: Weirdly, Catagolue marked the component as successful but didn't actually update it. But again, thankfully we have checks against that now - it's better than that time I accidentally broke the entire update process for a day and a half and had to have both Calcyman and Freywa issue emergency patches to Catagolue and Shinjuku respectively.
Last edited by Ian07 on September 22nd, 2020, 7:18 pm, edited 3 times in total.

hkoenig
Posts: 173
Joined: June 20th, 2009, 11:40 am

### Re: Randomly enumerating glider syntheses

Oh, well. I must've missed the recall notice on that one. It's gone now...

dvgrn
Moderator
Posts: 8019
Joined: May 17th, 2009, 11:00 pm
Contact:

### Re: Randomly enumerating glider syntheses

Ian07 wrote:
September 22nd, 2020, 7:05 pm
EDIT 2: Weirdly, Catagolue marked the component as successful but didn't actually update it.
Ooh, ooh, I can explain that one! Count the number of gliders in the right recipe very carefully.

Ian07
Posts: 694
Joined: September 22nd, 2018, 8:48 am

### Re: Randomly enumerating glider syntheses

dvgrn wrote:
September 22nd, 2020, 8:54 pm
Ooh, ooh, I can explain that one! Count the number of gliders in the right recipe very carefully.
Oh.
Thought that was supposed to be a second 6-glider synthesis. However, my original comment still holds - you submitted the false 6G on its own and Catagolue marked it as a "success" and then proceeded to ignore it.

Posts: 1981
Joined: November 8th, 2014, 8:48 pm
Location: Getting a snacker from R-Bee's

### Re: Randomly enumerating glider syntheses

Two nice Seeds of Destruction results and a simple construction, all [if I count correctly] 1G reductions:

Code: Select all

``````x = 333, y = 58, rule = B3/S23
207b2o\$207bobo\$207bo\$45bo\$44bo\$44b3o155b2o\$60bo140bo2bo\$42bo17bobo138b
o2bo\$43bo16b2o140b2o112bo\$41b3o273bo\$68bo246b3o\$66b2o137b3o6b3o\$67b2o
136bo8bo\$206bo8bo2\$312bo\$312b2o\$311bobo3b2o\$200b2o114bo2bo\$201b2o114b
2o\$200bo126b2o\$326b2ob2o\$327b4o\$328b2o2\$330b3o\$330bo\$63bo267bo\$50b2o
10b2o\$49bobo10bobo\$51bo86b3o\$140bo\$139bo3\$252b2o\$252bobo\$252bo18\$bo\$b
2o\$obo!
``````
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

goldenratio
Posts: 291
Joined: July 26th, 2020, 10:39 pm

### Re: Randomly enumerating glider syntheses

Question (previously asked on discord but I think they were busy): Could anyone modify the script to produce only collisions with D2 (+1, +2, x) symmetry? I think we'll find some more improvements there.
Time to get active again... temporarily disconnecting yourself from the community is a very bad experience, so if you want to leave, please do so permanently.

Help expand or create new tutorials on LifeWiki!

Ian07
Posts: 694
Joined: September 22nd, 2018, 8:48 am

### Re: Randomly enumerating glider syntheses

Results from bubblegum's new hauls in 5Glider_stdin:

Code: Select all

``````x = 3197, y = 94, rule = B3/S23
1972bo\$1970bobo\$1971b2o5\$1574bo\$1572bobo\$1573b2o14\$1105bo1102bo\$1104bo
1104bo\$1104b3o1100b3o\$2542b2o\$2542b2o2\$2211b3o332bo\$2543bo2bobo\$2209bo
5bo327bo2b2o\$2209bo5bo312bobo12bo\$2209bo5bo313b2o\$332bobo1025bo661bobo
504bo3bo\$333b2o1023bobo662b2o2bobo181b3o319bo\$333bo591bo433b2o662bo3b
2o504bo\$926bo388bobo44bo665bo1166bo\$835bo88b3o388b2o45bo1831bo\$834bo
481bo45bo860bo304bobo663b3o\$834b3o1385bo306b2o\$927b3o382bo909b3o304bo
29bo267bobo80bo\$1074bo236bo907b2o336b2o268b2o79bobo\$828b3o94bo5bo143bo
235b3o883bo21b2o310b3o24b2o268bo80b2o212bo\$925bo5bo141b3o286b2o834bo
356bo337bo22b2o203bobo\$817b2o106bo5bo429bobo832b3o11b2o342bobo334bobo
21bo2bo203b2o\$816bobo12b3o523b2obobo659bo177b2o4bo2bobo342bo2bo334b2o
16bo4bo2bo65b2o\$484bo333bo12bo95b3o232bo140b2o52b2obo401bo257bobo177b
2o4b4o345b2o352bobo4b2o65bo2bo123bo\$482bobo24bo322bo330bo140b2o54b2o
288bo112bo257b2o188bo333bo349bo12bo2bo71bo2bo124b2o9bo51bo5b3o\$483b2o
22b2o144bobo256bo248b3o5b2o132bo56bo287b2o111b3o423bo18b6o333bo86bo
262bo13b2o73b2o3b2o119b2o10b2o48bobo\$508b2o31b2o110b2o255bobo252b2obo
2bob2o183bobo288b2o114b3o420bo17bo24bo313bo84bobo262bo93bobo129bobo49b
2o3bo5bo\$540bob3o109bo256b2o10b2ob2o156bo80b2ob2obobo137b2o44bobo657b
2o167b3o18bobo20bobo398b2o193bo85b2o16bo58bo188bo5bo\$539bo5bo98bo274b
2obobobo155b2o85bobobo137bobo44bo659b2o170b3o15b2o21bo314bo279bobo79b
2obo2bo14bo248bo5bo\$539bob3obo96bobo269b2o4bobobobo156b2o84bobob2o136b
o705bo527bobo278b2o79bobobob2o14b3o48b2o145bobo58b2o\$13bo105bo420bobob
o98b2o269b2o4bobob2o244bo1008bo365b2obo85bo272bo3bo64b2obo2bo145b2o50b
3o5b2o\$12bo107b2o572b2o225bo156bo1101bo50b3o314bo85bo273b4o13b3o47bobo
bob2o145bo\$12b3o104b2o528bo40b2o3bo382b2o655b2o441b3o50bo300bobo13b2o
84bo190b2o12b2o134bo3bo145b2o\$17bobo518b2o107b2o40bob4o3b2o377bobo538b
2o111b2obo2bo444b2o48bo300b2o15bo274bobo10b2o70b2o64b4o144bobo45b2o17b
2o\$17b2o134bo384b2o108b2o39bo7bo2bo918b2o111bobob2o444b2o349bo9b2ob4ob
o83bo189bo14bo68bobo214bo45b2o13bo3bobo\$18bo134bobo207bo177b3o144b2o3b
2o3b2o913bo4bo113bobo701bo99b2o4bobobo4bo82bobo273bo67b2o206bobo4bo\$
153b2o46b2o155b2o2b2o127b3o2b3o42bo151b2o918b2o118bo2b2o699bo98b2o5bo
4b3o83b2obo339bobo206bob5o\$202bo154bobo2bobo128bo4bo43bo104b3o962bobo
6b2o114bo697b3o109b2o88bo340bo206b2o\$199b3o8bo148bo132bo4bo151bo50b2o
3bobo913bobo113bobo688bobo206b2o548b4o\$140bo57bo10bo297b2o139bo50bo2bo
2b2o914bo116b2o285bo403b2o208bo547bo2bo\$6b2o130b2o57bo2b2o7b3o295bobo
189bobo4bo613b3o701b2o403bo9b2o87b2o102b2ob4obo275bo271b2o\$5bobo131b2o
57b2obo4b2o299bo192bo619bo703bobo411b2o88b2o101bobobo4bo275bo\$7bo115bo
82b2o1113bo1107b2o9bo79b2o110bo4b3o276bo\$121bobo228b2o2074bobo90b2o2b
2o109b2o\$bo120b2o229b2o1286bo788bo89bo4bobo308b2o75b2o\$b2o349bo284bo
1002b2o107b2o775bo308b2o75bobo\$obo634b2o1001bobo106b2o1086bo76bo\$5b2o
120bo508bobo1106b3o\$6b2o119b2o1618bo\$5bo120bobo1617bo\$364bo4bo713b2o\$
363b2o3b2o713bobo\$363bobo2bobo479b2o231bo\$850bobo1231b2o455b2o\$850bo
1232b2o456b2o\$2085bo\$2538b2o\$2539b2o\$2538bo9\$2069bo\$2068b2o\$2068bobo!
``````

bubblegum
Posts: 927
Joined: August 25th, 2019, 11:59 pm

### Re: Randomly enumerating glider syntheses

So apparently I found this yesterday:

Code: Select all

``````x = 36, y = 33, rule = B3/S23
3bo\$4bo\$2b3o6\$8bo\$2bo3bobo\$obo4b2o\$b2o31bo\$33bo\$33b3o17\$25bo\$24b2o\$24b
obo!``````
Each day is a hidden opportunity, a frozen waterfall that's waiting to be realised, and one that I'll probably be ignoring
sonata wrote:
July 2nd, 2020, 8:33 pm
conwaylife signatures are amazing[citation needed]
anything

goldenratio
Posts: 291
Joined: July 26th, 2020, 10:39 pm

### Re: Randomly enumerating glider syntheses

Cis-mold on dock:

Code: Select all

``````x = 69, y = 62, rule = B3/S23
2bo\$obo\$b2o7\$9bo\$7bobo36bo\$8b2o35bo\$45b3o4\$57bo\$57bobo\$57b2o4\$40b2o\$41b
2o\$40bo2\$45b3o\$45bo\$46bo31\$66b2o\$66bobo\$66bo!``````
2 cis griddles with 2 tubs:

Code: Select all

``````x = 21, y = 25, rule = B3/S23
18b2o\$17bo2bo\$18b2o2\$5bo2b3o\$5bo2bo\$o4bo3bo\$b2o\$2o14\$3b2o\$4b2o\$3bo!``````
Both NOT from xglider_stdin but instead from Mateon1_glider6_5_6_test

Also, 2^7th post
Time to get active again... temporarily disconnecting yourself from the community is a very bad experience, so if you want to leave, please do so permanently.

Help expand or create new tutorials on LifeWiki!

bubblegum
Posts: 927
Joined: August 25th, 2019, 11:59 pm

### Re: Randomly enumerating glider syntheses

Kazyan found a component in January in 5Glider_stdin, but only finished it when I brought it up yesterday:

Code: Select all

``````x = 34, y = 38, rule = B3/S23
bo\$2bo\$3o\$32bo\$31bo\$26bo4b3o\$19bo5bo\$20bo4b3o\$18b3o7\$29bo\$28bo\$28b3o
11\$15b2o\$14bobo\$16bo15b2o\$31b2o\$33bo2\$20b2o\$20bo\$21bo\$20b2o!
``````
This was the original collision:

Code: Select all

``````x = 0, y = 0, rule = B3/S23
18bo1\$19b2o1\$18b2o2\$7bo1\$8bo1\$6b3o17\$21b2o1\$21bobo1\$21bo4\$17bo1\$17b2o1\$16bobo2\$33b2o1\$33bobo1\$33bo!``````
Each day is a hidden opportunity, a frozen waterfall that's waiting to be realised, and one that I'll probably be ignoring
sonata wrote:
July 2nd, 2020, 8:33 pm
conwaylife signatures are amazing[citation needed]
anything

goldenratio
Posts: 291
Joined: July 26th, 2020, 10:39 pm

### Re: Randomly enumerating glider syntheses

goldenratio wrote:
October 5th, 2020, 11:18 pm
Question (previously asked on discord but I think they were busy): Could anyone modify the script to produce only collisions with D2 (+1, +2, x) symmetry? I think we'll find some more improvements there.
No one responded, so I did it myself (the code is a lot messier than the asymmetric one at the start of this thread; this could probably be cleaned up and ported to C++)). As a bonus, these should not generate any invalid syntheses.

D2_+1:

Code: Select all

``````import java.util.*;
import java.lang.Math;

public class collisiongenerator {
//Make sure the glider count is even of course!
static int glidercount = 10;
static char coordinates[][] = new char[35][49];
static void placeglider(int xcoor, int ycoor, int gliderphase) {
//This is a mess right now since I don't know bitmasks
List<Boolean> gphase = null;
//Gliderphases 1, 2, 3, 4 = NW glider
if (gliderphase == 1)
gphase = Arrays.asList(true, true, false, true, false, true, true, false, false);
else if (gliderphase == 2)
gphase = Arrays.asList(false, true, true, true, true, false, false, false, true);
else if (gliderphase == 3)
gphase = Arrays.asList(true, true, true, true, false, false, false, true, false);
else if (gliderphase == 4)
gphase = Arrays.asList(false, true, false, true, true, false, true, false, true);
//Gliderphases 5, 6, 7, 8 = NE glider
else if (gliderphase == 5)
gphase = Arrays.asList(false, true, true, true, false, true, false, false, true);
else if (gliderphase == 6)
gphase = Arrays.asList(true, true, false, false, true, true, true, false, false);
else if (gliderphase == 7)
gphase = Arrays.asList(true, true, true, false, false, true, false, true, false);
else if (gliderphase == 8)
gphase = Arrays.asList(false, true, false, false, true, true, true, false, true);
//Gliderphases 9, 10, 11, 12 = SW glider
else if (gliderphase == 9)
gphase = Arrays.asList(true, false, false, true, false, true, true, true, false);
else if (gliderphase == 10)
gphase = Arrays.asList(false, false, true, true, true, false, false, true, true);
else if (gliderphase == 11)
gphase = Arrays.asList(false, true, false, true, false, false, true, true, true);
else if (gliderphase == 12)
gphase = Arrays.asList(true, false, true, true, true, false, false, true, false);
//Gliderphases 13, 14, 15, 16 = SE glider
else if (gliderphase == 13)
gphase = Arrays.asList(false, false, true, true, false, true, false, true, true);
else if (gliderphase == 14)
gphase = Arrays.asList(true, false, false, false, true, true, true, true, false);
else if (gliderphase == 15)
gphase = Arrays.asList(false, true, false, false, false, true, true, true, true);
else
gphase = Arrays.asList(true, false, true, false, true, true, false, true, false);
for (int i = 0; i <= 2; i++) {
for (int j = 0; j <= 2; j++) {
if (gphase.get(3 * j + i) == true)
coordinates[xcoor + i][ycoor + j] = 'o';
}
}
}
static boolean validpos(int xcoor, int ycoor) {
boolean valid = true;
for (int i = 0; i <= 34; i++) {
for (int j = 0; j <= 48; j++) {
if (coordinates[i][j] == 'o') {
int xdiff = i - xcoor;
int ydiff = j - ycoor;
if ((Math.abs(xdiff) <= 4) && (Math.abs(ydiff) <= 4)) {
valid = false;
break;
}
}
}
}
return valid;
}
static void printrle() {
int b = 1;
System.out.println();
System.out.print("x = 0, y = 0, rule = B3/S23");
System.out.println();
for (int j = 0; j <= 48; j++) {
for (int i = 1; i <= 34; i++) {
if (coordinates[i][j] == coordinates[i - 1][j])
b++;
else {
if (b != 1)
System.out.print(b);
System.out.print(coordinates[i - 1][j]);
b = 1;
}
}
if (b != 1) {
System.out.print(b);
System.out.print(coordinates[34][j]);
b = 1;
}
else
System.out.print(coordinates[34][j]);
if (j != 48)
System.out.print('\$');
else
System.out.print('!');
}
}
public static void main(String[] args) {
while (true) {
for (char[] row: coordinates)
Arrays.fill(row, 'b');
for (int i = 1; i <= glidercount / 2; i++) {
int ycoor = (int) (3 + Math.random() * 20);
int xcoor = 0;
int gphase = 0;
if (Math.random() < 0.5) {
gphase = (int) (9 + Math.random() * 4);
xcoor = (int) (18 + Math.random() * 14);
}
else {
gphase = (int) (13 + Math.random() * 4);
xcoor = (int) (Math.random() * 15);
}
if (validpos(xcoor, ycoor) == true) {
placeglider(xcoor, ycoor, gphase);
placeglider(xcoor, 48 - ycoor, gphase - 8);
}
}
printrle();
}
}
}
``````
D2_+2 (not run yet; you only need to change five numbers from the D2_+1 version but for the lazy):

Code: Select all

``````import java.util.*;
import java.lang.Math;

public class collisiongenerator {
//Make sure the glider count is even of course!
static int glidercount = 10;
static char coordinates[][] = new char[35][50];
static void placeglider(int xcoor, int ycoor, int gliderphase) {
//This is a mess right now since I don't know bitmasks
List<Boolean> gphase = null;
//Gliderphases 1, 2, 3, 4 = NW glider
if (gliderphase == 1)
gphase = Arrays.asList(true, true, false, true, false, true, true, false, false);
else if (gliderphase == 2)
gphase = Arrays.asList(false, true, true, true, true, false, false, false, true);
else if (gliderphase == 3)
gphase = Arrays.asList(true, true, true, true, false, false, false, true, false);
else if (gliderphase == 4)
gphase = Arrays.asList(false, true, false, true, true, false, true, false, true);
//Gliderphases 5, 6, 7, 8 = NE glider
else if (gliderphase == 5)
gphase = Arrays.asList(false, true, true, true, false, true, false, false, true);
else if (gliderphase == 6)
gphase = Arrays.asList(true, true, false, false, true, true, true, false, false);
else if (gliderphase == 7)
gphase = Arrays.asList(true, true, true, false, false, true, false, true, false);
else if (gliderphase == 8)
gphase = Arrays.asList(false, true, false, false, true, true, true, false, true);
//Gliderphases 9, 10, 11, 12 = SW glider
else if (gliderphase == 9)
gphase = Arrays.asList(true, false, false, true, false, true, true, true, false);
else if (gliderphase == 10)
gphase = Arrays.asList(false, false, true, true, true, false, false, true, true);
else if (gliderphase == 11)
gphase = Arrays.asList(false, true, false, true, false, false, true, true, true);
else if (gliderphase == 12)
gphase = Arrays.asList(true, false, true, true, true, false, false, true, false);
//Gliderphases 13, 14, 15, 16 = SE glider
else if (gliderphase == 13)
gphase = Arrays.asList(false, false, true, true, false, true, false, true, true);
else if (gliderphase == 14)
gphase = Arrays.asList(true, false, false, false, true, true, true, true, false);
else if (gliderphase == 15)
gphase = Arrays.asList(false, true, false, false, false, true, true, true, true);
else
gphase = Arrays.asList(true, false, true, false, true, true, false, true, false);
for (int i = 0; i <= 2; i++) {
for (int j = 0; j <= 2; j++) {
if (gphase.get(3 * j + i) == true)
coordinates[xcoor + i][ycoor + j] = 'o';
}
}
}
static boolean validpos(int xcoor, int ycoor) {
boolean valid = true;
for (int i = 0; i <= 34; i++) {
for (int j = 0; j <= 49; j++) {
if (coordinates[i][j] == 'o') {
int xdiff = i - xcoor;
int ydiff = j - ycoor;
if ((Math.abs(xdiff) <= 4) && (Math.abs(ydiff) <= 4)) {
valid = false;
break;
}
}
}
}
return valid;
}
static void printrle() {
int b = 1;
System.out.println();
System.out.print("x = 0, y = 0, rule = B3/S23");
System.out.println();
for (int j = 0; j <= 49; j++) {
for (int i = 1; i <= 34; i++) {
if (coordinates[i][j] == coordinates[i - 1][j])
b++;
else {
if (b != 1)
System.out.print(b);
System.out.print(coordinates[i - 1][j]);
b = 1;
}
}
if (b != 1) {
System.out.print(b);
System.out.print(coordinates[34][j]);
b = 1;
}
else
System.out.print(coordinates[34][j]);
if (j != 49)
System.out.print('\$');
else
System.out.print('!');
}
}
public static void main(String[] args) {
while (true) {
for (char[] row: coordinates)
Arrays.fill(row, 'b');
for (int i = 1; i <= glidercount / 2; i++) {
int ycoor = (int) (3 + Math.random() * 20);
int xcoor = 0;
int gphase = 0;
if (Math.random() < 0.5) {
gphase = (int) (9 + Math.random() * 4);
xcoor = (int) (18 + Math.random() * 14);
}
else {
gphase = (int) (13 + Math.random() * 4);
xcoor = (int) (Math.random() * 15);
}
if (validpos(xcoor, ycoor) == true) {
placeglider(xcoor, ycoor, gphase);
placeglider(xcoor, 49 - ycoor, gphase - 8);
}
}
printrle();
}
}
}``````
Will work on D2_x

Code: Select all

``````x = 23, y = 45, rule = B3/S23
2bo\$obo17bobo\$b2o17b2o\$21bo2\$11bo\$9bobo\$10b2o10\$15bo\$16bo\$14b3o3bo\$20b
obo\$20b2o2\$20b2o\$20bobo\$14b3o3bo\$16bo\$15bo10\$10b2o\$9bobo\$11bo2\$21bo\$b
2o17b2o\$obo17bobo\$2bo!``````
Time to get active again... temporarily disconnecting yourself from the community is a very bad experience, so if you want to leave, please do so permanently.

Help expand or create new tutorials on LifeWiki!

yujh
Posts: 2302
Joined: February 27th, 2020, 11:23 pm
Location: 我不觉得我迷路了，我可能在K2-146 b上 (@bibunsekibun)
Contact:

### Re: Randomly enumerating glider syntheses

Is there a python version for this?
B34kz5e7c8/S23-a4ityz5k!!!

b2n3-q5y6cn7s23-k4c8

B3-kq6cn8/S2-i3-a4ciyz8

wiki

Rule modifier

Got quoted by someone on my ignore list, still got notified. It's a pity.

bubblegum
Posts: 927
Joined: August 25th, 2019, 11:59 pm

### Re: Randomly enumerating glider syntheses

@Ian07 would you care to check for new syntheses in 5Glider_stdin before I start committing new hauls?
Each day is a hidden opportunity, a frozen waterfall that's waiting to be realised, and one that I'll probably be ignoring
sonata wrote:
July 2nd, 2020, 8:33 pm
conwaylife signatures are amazing[citation needed]
anything

goldenratio
Posts: 291
Joined: July 26th, 2020, 10:39 pm

### Re: Randomly enumerating glider syntheses

C++ port to the D2 collision enumerator posted earlier (with some code cleanups)

D2_+1:

Code: Select all

``````#include <iostream>
#include <random>
#include <cmath>
#include <stdlib.h>
#include <time.h>
using namespace std;
//Make sure the glider count is even of course!
int glidercount = 10;
char coordinates [35][49];
string gliderphases[16] = {"abbabaaab", "bbaaabbaa", "bababbaaa", "abaaabbab", "bbaababaa", "abbbaaaab", "babbbaaaa", "ababaabab", "aababaabb", "baaaabbba", "aaaabbbab", "babaababa", "baaababba", "aabbaaabb", "aaabbabab" , "babbaaaba"};
void placeglider(int xcoor, int ycoor, int gliderphase) {
string gphase = gliderphases[gliderphase - 1];
for (int i = 0; i <= 2; i++) {
for (int j = 0; j <= 2; j++) {
if (gphase.at(3 * i + j) == 'a')
coordinates[xcoor + j][ycoor + i] = 'o';
}
}
}
bool validpos(int xcoor, int ycoor) {
bool valid = true;
for (int i = 0; i <= 34; i++) {
for (int j = 0; j <= 48; j++) {
if (coordinates[i][j] == 'o') {
int xdiff = i - xcoor;
int ydiff = j - ycoor;
if ((abs (xdiff) <= 4) && (abs (ydiff) <= 4)) {
valid = false;
break;
}
}
}
}
return valid;
}
void printrle() {
int b = 1;
cout << "\n";
cout << "x = 0, y = 0, rule = B3/S23";
cout << "\n";
for (int j = 0; j <= 48; j++) {
for (int i = 1; i <= 34; i++) {
if (coordinates[i][j] == coordinates[i - 1][j])
b++;
else {
if (b != 1)
cout << b;
cout << coordinates[i - 1][j];
b = 1;
}
}
if (b != 1) {
cout << b;
cout << coordinates[34][j];
b = 1;
}
else
cout << coordinates[34][j];
if (j != 48)
cout << '\$';
else
cout << '!';
}
}
int main() {
srand (time(NULL));
while (true) {
std::fill(&coordinates[0][0], &coordinates[0][0] + sizeof(coordinates), 'b');
for (int i = 1; i <= glidercount / 2; i++) {
int ycoor = 3 + rand() % 20;
int gphase;
int xcoor;
if (rand() % 2 == 1) {
gphase = 1 + rand() % 4;
xcoor = 18 + rand() % 14;
}
else {
gphase = 5 + rand() % 4;
xcoor = rand() % 15;
}
if (validpos(xcoor, ycoor) == true) {
placeglider(xcoor, ycoor, gphase);
placeglider(xcoor, 48 - ycoor, gphase + 8);
}
}
printrle();
}
}``````
D2_+2:

Code: Select all

``````#include <iostream>
#include <random>
#include <cmath>
#include <stdlib.h>
#include <time.h>
using namespace std;
//Make sure the glider count is even of course!
int glidercount = 10;
char coordinates [35][50];
string gliderphases[16] = {"abbabaaab", "bbaaabbaa", "bababbaaa", "abaaabbab", "bbaababaa", "abbbaaaab", "babbbaaaa", "ababaabab", "aababaabb", "baaaabbba", "aaaabbbab", "babaababa", "baaababba", "aabbaaabb", "aaabbabab" , "babbaaaba"};
void placeglider(int xcoor, int ycoor, int gliderphase) {
string gphase = gliderphases[gliderphase - 1];
for (int i = 0; i <= 2; i++) {
for (int j = 0; j <= 2; j++) {
if (gphase.at(3 * i + j) == 'a')
coordinates[xcoor + j][ycoor + i] = 'o';
}
}
}
bool validpos(int xcoor, int ycoor) {
bool valid = true;
for (int i = 0; i <= 34; i++) {
for (int j = 0; j <= 49; j++) {
if (coordinates[i][j] == 'o') {
int xdiff = i - xcoor;
int ydiff = j - ycoor;
if ((abs (xdiff) <= 4) && (abs (ydiff) <= 4)) {
valid = false;
break;
}
}
}
}
return valid;
}
void printrle() {
int b = 1;
cout << "\n";
cout << "x = 0, y = 0, rule = B3/S23";
cout << "\n";
for (int j = 0; j <= 49; j++) {
for (int i = 1; i <= 34; i++) {
if (coordinates[i][j] == coordinates[i - 1][j])
b++;
else {
if (b != 1)
cout << b;
cout << coordinates[i - 1][j];
b = 1;
}
}
if (b != 1) {
cout << b;
cout << coordinates[34][j];
b = 1;
}
else
cout << coordinates[34][j];
if (j != 49)
cout << '\$';
else
cout << '!';
}
}
int main() {
srand (time(NULL));
while (true) {
std::fill(&coordinates[0][0], &coordinates[0][0] + sizeof(coordinates), 'b');
for (int i = 1; i <= glidercount / 2; i++) {
int ycoor = 3 + rand() % 20;
int gphase;
int xcoor;
if (rand() % 2 == 1) {
gphase = 1 + rand() % 4;
xcoor = 18 + rand() % 14;
}
else {
gphase = 5 + rand() % 4;
xcoor = rand() % 15;
}
if (validpos(xcoor, ycoor) == true) {
placeglider(xcoor, ycoor, gphase);
placeglider(xcoor, 49 - ycoor, gphase + 8);
}
}
printrle();
}
}``````
EDIT: This can on occasion produce invalid syntheses, but occurrences are much less frequent than the asymmetric generator.
Also this obviously won't find syntheses for non-gutter-symmetric patterns.
EDIT 2 (1-18-2021): I think I fixed the glider positioning bug. The scripts should now be fully functional.
Last edited by goldenratio on March 10th, 2021, 11:24 am, edited 5 times in total.
Time to get active again... temporarily disconnecting yourself from the community is a very bad experience, so if you want to leave, please do so permanently.

Help expand or create new tutorials on LifeWiki!

Ian07
Posts: 694
Joined: September 22nd, 2018, 8:48 am

### Re: Randomly enumerating glider syntheses

bubblegum wrote:
December 27th, 2020, 12:13 am
@Ian07 would you care to check for new syntheses in 5Glider_stdin before I start committing new hauls?
If you're planning on continuing the search, I'd prefer if you did so first. Since the script I use returns every sample soup for an object, and I don't have a good way of filtering out the ones that have already been checked, I try to avoid checking the results while someone is still busy searching, as it essentially results in work I'll have to redo later.

bubblegum
Posts: 927
Joined: August 25th, 2019, 11:59 pm

### Re: Randomly enumerating glider syntheses

Ian07 wrote:
December 28th, 2020, 1:52 pm
If you're planning on continuing the search, I'd prefer if you did so first. Since the script I use returns every sample soup for an object, and I don't have a good way of filtering out the ones that have already been checked, I try to avoid checking the results while someone is still busy searching, as it essentially results in work I'll have to redo later.
Oh, okay then, I'll continue it.
Each day is a hidden opportunity, a frozen waterfall that's waiting to be realised, and one that I'll probably be ignoring
sonata wrote:
July 2nd, 2020, 8:33 pm
conwaylife signatures are amazing[citation needed]
anything

Ian07
Posts: 694
Joined: September 22nd, 2018, 8:48 am

### Re: Randomly enumerating glider syntheses

Another look at the stdins that got cut short halfway through. I was thinking of finishing it this weekend, but 5G is being searched again so I'll wait on that one and just submit what I had.

Oscillators:

Code: Select all

``````x = 7375, y = 535, rule = B3/S23
5979bo\$5977bobo\$5978b2o14\$1684bo\$1683bo\$1683b3o6\$1693bo4449bo\$1692bo
4446bo3bobo\$1692b3o4443bobo2b2o\$6139bo2\$6123bo364bo\$6123bobo25bo335bo\$
6119b2o2b2o26bobo333b3o\$6119b2o30b2o506bo\$6285bo374b2o\$5808bobo336b3o
136bo17bo345bo8b2o17bo\$5707bo101b2o312b2o159b3o15b2o160bo186bo26bobo\$
5705bobo101bo313b2o10b2o166b2o157bobo184b3o19bo6b2o\$5706b2o423b2obobo
154bo171b2o205bo\$6028bo101bobobo157b2o194bo181b3o\$6028bobo99bobob2o
155b2o195bobo\$6013bo14b2o101bo3bo352b2o56bo\$5166bo847b2o116b3o410bobo\$
5004bo159bobo225bo414bo16bo188b2o467bo63b2o\$5002b2o161b2o226b2o413bo
13b2o210bobo443b2o175bobo\$4696bo306b2o387b2o320bo91b3o14b2o209b2o96b3o
156bo189b2o50b2o9b4o110b2o\$4694b2o53b2o3bobo424bo298bobo141bo90b2o318b
o95bo3bo155bobo170bo68b2o9bo3bo109bo\$4695b2o52b2o3b2o73bobo347b2o280bo
bo17b2o142b2o87b2o414bobob2o155b2o169bobo80b3o\$4755bo73b2o169bo179b2o
280b2o17bo142b2o95bobo406bobobo328b2o81bo\$4669bo160bo169bobo459bo4b2o
253b2o407b2obobo393bo15bo\$4670bo154b2o173b2o464bo2bo252bo400b2o10b2o
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174b3o2bo66bo363b2o249bo119b2o438bo301b2o509bo\$811b2o113bo87bo24b2o
134bo378bobo92bo185b2o292bo91b2o170bobo7bo118bobo65b3o214bo177bobo5bo
3bo163b3o182bo438bobo242bobo14bo6bo93b2ob2o546b3o427b2o11bo5bo202b2o
227bo170b2o198bo5b2o312b3o114bo301bobo324b2o182b2o\$814bo105b2o4b3o86b
2o157bo99bo196bo81bo2bo181b2o390b3o89bo171bo9b3o116b2o69b2o6b2o142bobo
57bobob2o174b2o6b3o165bo182b3o110bo327b3o257b2o6bo646bo428b2o11bo208b
2o102b2o292b2o204b2o315bo132bo285bo180b3o141bobo181bobo\$541bo271bobo
103bo2bo91b2o158b3o82b2o13bobo194bobo80b2o102bobo76bo2bo107bo284bo273b
o115bo70b2o5bo2bo141b2obo57b2ob2o177b2o171bo181bo3bo108b2o114b2o214bo
256bobo651bo428bo221bo104b2o294bo205bo313bo132b2o468bo141bo\$542b2o6bo
127bo14bo119bobo103bo2bo335bo2bo12b2o116bo78b2o186b2o76bobo106bobo284b
o272b2o193bob2o144bo239b2o170b3o180b4o109bobo113bobo212bo1085bo577b3o
950bobo466bo\$541b2o6bo6bo122b2o12bobo118bo105b2o336bo2bo9bo79bo35b3obo
bo158b4o12bo90bo15bo60b2ob2o7bo98b2o281b3o89bo183bo193b2obo91bobo48b3o
58b2ob2o182b3o160b2obo3bo408bo213bo1086b2o17b3o244bo313bo274b2o\$421bo
127b3o2b2o122b2o8bobo2b2o564b2o9bobo73b3obobo36bo2bo158bo3bo12bobo102b
2o61bo3bo7bobo378bo91b2o181bobo192bo3bo91b2o48bobo58bobob2o181bo3bo
160bobob2o180b2o359b3o79bobo105b2o976bobo17bo245b2o312bo274bobo908bo\$
48bo372bobo131b2o132b2o223b2o9b2o112bo230b2o76bo2bo36bo4b3o64bo91b3o
13b2o104b2o61b3o8b2o370b3o5bobo90bobo180b2o194b3o93bo48bobo59bo120b3o
63b3obo159bobobo180bobo102b3o256bo80b2o105bobo996bo244bobo231bo356bo
907b2o\$49b2o109bo260b2o266bo223bo2bo7bo2bo109b2o218b4o86bo4b3o41bo63bo
bo90bo11b2o178b2o380bo2bo606bo8b3o169b2o8bo68bobo159bo2bo181bo105bo
121bo133bo188bo9b2o135b2o428b2o652bo245b2o1264bobo\$48b2o28bo79bobo134b
o514b2o102b2o9b2o111b2o217bo3bo93bo40bo63b2o91bo11b2o178b2o206bo173bob
o82b3o105b3o412bobo11bo167b2o10bo66bo2bo160b2o4b2o281bo15bo105b2o205b
3o123b2o135bobo429b2o651b2o244bobo\$76b2o81b2o132b2o515b2o446b3o94bo37b
3o156b3o119b2o61b3o107b2o104b2o105b2o9b2o55bo83bo6b2o101bo200bo76b3o
93bo39b2o8b2obo169bo76bobo115bo51b2o296b2o105bobo146b2o52b3o129bo128b
3o5bo428bo429b2o221bobo\$77b2o83b2o130b2o242bo375b4o341bo92b3o37bo158bo
3bo117b2o61bo3bo105bobo103bobo106b2o9b2o139bo4b2o101bo201b2o74bo3bo91b
2o42b2o5bobo56bo191bo115b2o54b2o95b3o195bobo94b3o156bobo53bo260bo424b
2o15b3o420bobo\$71bo90b2o114bo139bobo118b2o148bo120b4o99bo3bo341bo91bo
39bobo66b2o90b4o103bo15bo60b2ob2o107bo119b2o90bo10bo148bo301bobo75b2ob
o91bobo41b2o64b2o181bo124bobo53bobo96bo79b2o213bo156bo54bo19bo240bo
426b2o14bo422bo\$71bobo202bobo139b2o118b2o147b2o120bo3bo100b3o341b3o89b
obo37bo2bo66bobo196b2o76bobo228bobo630bob2o199bobo109b2o10bo59bo180bo
97bo26b2o51bo2bo211bo231bobo107b3o555bo17bo\$71b2o204b2o120bobo17bo268b
2o120b3o102bo341bo3bo89bo39b2o67bo93b2o102bobo76bo2bo94b2o131bo433b2o
132bo57b2o5bo2bo206b2o103bobo3b2o3b2o59bo304b2o53b2o444bo2bo106bo\$400b
2o513bo341b4o292bo2bo181b2o94bobo240b3o243b2o77b2o131b2o57b2o6b2o207bo
bo102bo4b2o4bobo55b2o308bo55b3o441b2o108bo\$283bo11bo104bo513b3o353b2o
282bobo279bo240bo246b2o73b2o134bobo52b3o218bo111bo60bobo106b2o256bo
446b3o\$51bo232b2o9bobo512b3o100bo3bo341b2o9bobo198b2o82bo399b3o120bo
244bo14b2o58bobo191bo111b2o280bo105bobo188b3o66bo445bo\$49bobo231b2o10b
2o512bo3bo100b4o120b2o218bo2bo9bo199bobo483bo379b2o61bo190bo112bobo
387bo19b3o166bo294b2o114b2o16b3o84bo\$50b2o636b2o120b4o223b2o219bo2bo
12b2o195bo200b3o3bo277bo260b3o119bo364bo409bo169bo292b2o116b2o15bo\$
160b2o525b2o225b2o9b2o112bo219b2o13bobo395bo4b2o271bo127b2o137bo323b2o
132b2o438bo339b3o121bo114bo18bo\$158b3obo526bo120b2o101bo2bo7bo2bo346bo
398bo3bobo270b2o126bobo137bo109b2o210b2o132bobo778bo427b3o1008b3o\$157b
o5bo255bo390b2o102b2o9b2o929b3o90bobo126bo248bobo212bo133bo616b2o161bo
428bo1008bo\$158b5o256bobo1434bo472bo786b3o173b2o590bo1010bo\$159bo259b
2o499b2o92b2o158b3o285b2o393bo1258bo177bo2045b2o\$159bo529bo229bo2bo92b
2o157bo286b2o875bo778bo2221bobo\$158b5o526b2o123bo104bo2bo91bo24b2o134b
o287bo373bo499b2o3002bo\$157bo5bo119b2o10b2o122b2o257b2o8bobo2b2o118bob
o104b2o4b3o109b2o141b2o654b2o498bobo\$158b3obo121b2o9bobo121bobo116b2o
139b2o12bobo117bobo110bo113bo140bobo652bobo\$160b2o121bo11bo123bo119b2o
137bo14bo120bo112bo237b3o13bo288b2o\$538bo272b2o345b2o7bo301b2o\$277b2o
531bobo344bobo6bo304bo\$276bobo533bo346bo\$278bo754b2o\$50b2o242b2o259b2o
476bobo\$49bobo241b2o105bo148b3o2b2o477bo\$51bo243bo104b2o139b2o6bo6bo\$
162b2o235bobo17bo122b2o6bo\$162b2o254b2o121bo\$71b2o86b2o257bobo\$71bobo
84bobo\$71bo88bo\$77b2o\$76b2o343b2o\$48b2o28bo342bobo\$49b2o370bo\$48bo4\$
524b3o\$526bo\$525bo13\$4403b2o\$4402bobo\$4404bo3\$4539b2o\$4538b2o\$4540bo!``````
xs11:

Code: Select all

``````x = 103, y = 29, rule = B3/S23
25bo\$24bo\$24b3o\$100bo\$100bobo\$100b2o\$98bo\$2bo4bo89bobo\$obo2bobo84b2o3b
obo\$b2o3b2o12bo71bobo3bo\$18b2o75bo\$19b2o75bo\$97bo\$94b3o\$94bo12\$24b2o\$
24bobo\$24bo!``````
xs12:

Code: Select all

``````x = 181, y = 17, rule = B3/S23
170bobo\$53bo116b2o\$54bo116bo8bo\$16b2o34b3o5bo117b2o\$15bo2bo40bobo117b
2o\$15bo2bo41bo106bobo\$9bobo4b2o36b2o111b2o\$10b2o42b2o112bo\$10bo38b2o5b
2o\$50bo5b2o\$10b2o38bobo\$bo7bobo39bobo99b3o\$b2o8bo40bo102bo\$obo50b3o98b
o\$55bo114b2o\$169b2o\$171bo!``````
xs13:

Code: Select all

``````x = 616, y = 39, rule = B3/S23
588bo\$589bo\$587b3o\$198bobo\$198b2o\$199bo2\$592bo\$20bo572b2o\$20bobo154bo
83bo2bo327b2o6bo\$20b2o156b2o81b4o335bobo\$177b2o421b2o\$261b2o\$193bo67bo
\$18bo174bobo66bo317bo\$17bo175b2o68bo202bo111bobo\$17b3o242b2o139bobo59b
o113b2o\$404b2o59b3o\$267b3o134bo57b2o\$bo460bobo\$b2o19bo160bo88b2o135bo
12bobo38bo\$obo18b2o161b2o86bobo135b2o10b2o34b2o\$21bobo159b2o81b2o4bo
136b2o12bo33bobo\$266b2o189bo2b2obo\$412bo45bobob2o\$412b2o2bo42bo123b2o\$
411bobo2bobo163bobo\$416b2o166bo2\$613b2o\$613bobo\$613bo3\$19bo\$18b2o\$18bo
bo162b3o\$185bo\$184bo!``````
xs14:

Code: Select all

``````x = 870, y = 139, rule = B3/S23
320bo\$318b2o\$319b2o35\$845bo\$843bobo\$844b2o21bobo\$867b2o\$711bo156bo\$
549bo162bo\$550b2o158b3o\$549b2o\$562bo\$561bo\$561b3o\$39bo666bo\$38bo668b2o
138bobo8bo\$38b3o665b2o140b2o9bo\$848bo8b3o\$722bo\$32bobo685b2o\$33b2o671b
obo12b2o\$33bo17b2o654b2o\$51b2o654bo\$37b2o\$38b2o11b2o795bo8b3o\$37bo13b
2o795b2o9bo\$847bobo8bo\$549bo\$245bo19bo282b2o\$246b2o17bobo280bobo\$245b
2o18b2o\$542b3o\$544bo17b3o\$543bo18bo146b2o\$563bo144bobo157bo\$710bo156b
2o\$844b2o21bobo\$250bo592bobo\$250bobo592bo\$245bo4b2o\$245b2o\$244bobo3\$
253b3o\$255bo\$254bo17\$bo\$b2o\$obo37\$303b2o\$302b2o\$304bo!``````
xs15:

Code: Select all

``````x = 989, y = 43, rule = B3/S23
381bo\$381bobo\$381b2o\$588bobo305bo89bo\$348bobo238b2o306b2o87bobo\$349b2o
238bo306b2o88b2o\$349bo565bobo66bo\$915b2o67bo\$916bo67bo\$597bo\$595bobo\$
596b2o\$22bobo456bo\$22b2o117bo114bo106bo115b2o231bobo265b2o\$23bo116bo
114bo106bo117b2o231b2o174b2o17b2o71bo\$115bobo22b3o112b3o104b3o348bo
176b2o16bobo70bobo\$116b2o771bo18bo73bobo\$116bo351bo8bo239bo266bo\$248bo
220bo7bobo237bobo264bob2o\$226bobo18bo117bo101b3o7b2o238b2o266bo2bo\$34b
obo190b2o18b3o114b2o620b2o\$7bobo24b2o191bo136bobo\$8b2o25bo\$8bo465bobo
237bo199bo\$243bo226bo3b2o239bo197b2o\$243bobo225bo3bo119bo17b3o97b3o4b
3o4b2o184bobo\$142bobo98b2o224b3o123b2o16bo106bo6bobo\$133bobo6b2o450bob
o17bo106bo5bo\$134b2o7bo92b2o115b3o\$134bo102b2o116bo\$7b2o227bo117bo\$6bo
bo113b3o\$8bo115bo\$123bo\$589b3o\$591bo\$370b2o218bo\$370bobo\$370bo2\$2o\$b2o
\$o!``````

bubblegum
Posts: 927
Joined: August 25th, 2019, 11:59 pm

### Re: Randomly enumerating glider syntheses

Just dropping this here - it's a lightly modified script to process Mateon1 glider stdins. Run with Python 3, and feel free to comment out line 94 if it gives you problems.

Code: Select all

``````import hashlib

#set this to the three values in the symmetry
(glis, width, length) = (6, 5, 6)
#this to the seed
seed = b"k_Nbke7qxLPRzS8441"
#and this to the rule
rule = "B3/S23"

def digest(bs):
return hashlib.sha256(bs).digest()

hashval = bytes("\0" * 32, "ascii")
randcnt = 0
randbyte = 0
randbit = 0

def main(seed):
global randbit, randbyte, randcnt, hashval

cells = set()

hashval = digest(seed)
randcnt = 0
randbyte = 0
randbit = 0

def bit():
global randbit, randbyte, randcnt, hashval
if randbyte >= 32:
assert randbit == 0
randbyte = 0
randcnt += 1
hashval = digest(seed + bytes(":%d" % randcnt, "ascii"))

val = (hashval[randbyte] >> randbit) & 1
randbit += 1
if randbit >= 8:
randbit = 0
randbyte += 1
return val

def rand(bits):
assert bits <= 64
val = 0
for b in range(bits):
val |= (1 << b) if bit() else 0
return val

PHASES = [
[[1, 1, 1],
[1, 0, 0],
[0, 1, 0]],
[[0, 1, 1],
[1, 1, 0],
[0, 0, 1]]]

for quadrant in [(-1, -1), (1, -1), (-1, 1), (1, 1)]:
counter = 0
while counter < glis:
ori = bit()
flip = bit()
phase = bit()
offs = rand(width)
shift = rand(length) + 4
if ori:
x += quadrant[0] * (offs + 1)
else:
r = 2
for dx in range(-r, 3 + r):
for dy in range(-r, 3 + r):
if (x + dx, y + dy) in cells:
for dy in range(3):
for dx in range(3):
(gx, gy) = (2 - dx if quadrant[0] == -1 else dx, 2 - dy if quadrant[1] == -1 else dy)
(gx, gy) = (gy, gx) if flip else (gx, gy)
if PHASES[phase][gy][gx]:
cells.add((x + dx, y + dy))
counter += 1

def getcell(x, y):
return (x, y) in cells

xmin = min(x for (x, y) in cells)
xmax = max(x for (x, y) in cells)
ymin = min(y for (x, y) in cells)
ymax = max(y for (x, y) in cells)

print(f"x = {xmax-xmin+1}, y = {ymax-ymin+1}, rule = {rule}")
linerepeat = 0
repeat = 0
char = "b"
for y in range(ymin, ymax + 1):
for x in range(xmin, xmax + 1):
c = "o" if getcell(x, y) else "b"
if c == char:
repeat += 1
else:
if repeat and linerepeat:
print("%d\$" % linerepeat if linerepeat > 1 else '\$', end="")
linerepeat = 0
if repeat: print("%d%c" % (repeat, char) if repeat > 1 else char, end="")
char = c
repeat = 1
if repeat and char != "b": print("%d%c" % (repeat, char) if repeat > 1 else char, end="")
repeat = 0
linerepeat += 1
print('!')

main(seed)``````
Each day is a hidden opportunity, a frozen waterfall that's waiting to be realised, and one that I'll probably be ignoring
sonata wrote:
July 2nd, 2020, 8:33 pm
conwaylife signatures are amazing[citation needed]
anything

dvgrn
Moderator
Posts: 8019
Joined: May 17th, 2009, 11:00 pm
Contact:

### Re: Randomly enumerating glider syntheses

bubblegum wrote:
March 17th, 2021, 2:21 am
Just dropping this here - it's a lightly modified script to process Mateon1 glider stdins.
Thanks for doing this! I've been meaning to put something like this together, but it never made it to the top of my priority list.

What does the sample seed "k_Nbke7qxLPRzS8441" build? I'm not seeing anything interesting in the collision ash. Also it's 18 characters instead of 22, so I'm vaguely worried that something else would need to be done to support older (?) hash formats. Can someone remind me / give a link to why there was a length change?

Here's a Golly-4.x-enabled version of the script. It accepts hashes from the clipboard or from user input, clears the current Golly layer, and drops the generated RLE pattern there:

Code: Select all

``````# decode-Mateon-stdin-Golly4.py

import golly as g

import hashlib

def digest(bs):
return hashlib.sha256(bs).digest()

hashval = bytes("\0" * 32, "ascii")
randcnt = 0
randbyte = 0
randbit = 0

def getRLE(seed):
global randbit, randbyte, randcnt, hashval

cells = set()

hashval = digest(seed)
randcnt = 0
randbyte = 0
randbit = 0

def bit():
global randbit, randbyte, randcnt, hashval
if randbyte >= 32:
assert randbit == 0
randbyte = 0
randcnt += 1
hashval = digest(seed + bytes(":%d" % randcnt, "ascii"))

val = (hashval[randbyte] >> randbit) & 1
randbit += 1
if randbit >= 8:
randbit = 0
randbyte += 1
return val

def rand(bits):
assert bits <= 64
val = 0
for b in range(bits):
val |= (1 << b) if bit() else 0
return val

PHASES = [
[[1, 1, 1],
[1, 0, 0],
[0, 1, 0]],
[[0, 1, 1],
[1, 1, 0],
[0, 0, 1]]]

for quadrant in [(-1, -1), (1, -1), (-1, 1), (1, 1)]:
counter = 0
while counter < glis:
ori = bit()
flip = bit()
phase = bit()
offs = rand(width)
shift = rand(length) + 4
if ori:
x += quadrant[0] * (offs + 1)
else:
r = 2
for dx in range(-r, 3 + r):
for dy in range(-r, 3 + r):
if (x + dx, y + dy) in cells:
for dy in range(3):
for dx in range(3):
(gx, gy) = (2 - dx if quadrant[0] == -1 else dx, 2 - dy if quadrant[1] == -1 else dy)
(gx, gy) = (gy, gx) if flip else (gx, gy)
if PHASES[phase][gy][gx]:
cells.add((x + dx, y + dy))
counter += 1

xmin = min(x for (x, y) in cells)
xmax = max(x for (x, y) in cells)
ymin = min(y for (x, y) in cells)
ymax = max(y for (x, y) in cells)

rle = f"x = {xmax-xmin+1}, y = {ymax-ymin+1}, rule = {rule}\n"
linerepeat = 0
repeat = 0
char = "b"
for y in range(ymin, ymax + 1):
for x in range(xmin, xmax + 1):
c = "o" if (x, y) in cells else "b"
if c == char:
repeat += 1
else:
if repeat and linerepeat:
if linerepeat > 1:
rle+=str(linerepeat) + "\$"
else:
rle += "\$"
linerepeat = 0
if repeat:
if repeat > 1:
rle += str(repeat) + char
else:
rle += char
char = c
repeat = 1
if repeat and char != "b":
if repeat > 1:
rle += str(repeat) + char
else:
rle += char
repeat = 0
linerepeat += 1
rle += "!"
return rle

# set this to the three values in the symmetry
(glis, width, length) = (6, 5, 6)
# and this to the rule
rule = "B3/S23"

#set this to the seed
seedstr = g.getclipstr()

# this was the previous sample, but it doesn't build anything interesting that I can recognize. (?)
# seedstr = "k_Nbke7qxLPRzS8441"

if seedstr[1] != "_":
seedstr = g.getstring("Enter 18- or 22-character Catagolue seed for a Mateon stdin result: ","k_9HrHTiQjsT7V74016984")
seed = seedstr.encode()

g.new(seedstr)

# g.setclipstr(getRLE(seed))

rlestr = getRLE(seed)

pat = g.parse(rlestr.split("\n")[1])

g.putcells(pat)
g.fit()``````

bubblegum
Posts: 927
Joined: August 25th, 2019, 11:59 pm

### Re: Randomly enumerating glider syntheses

dvgrn wrote:
March 17th, 2021, 1:05 pm
What does the sample seed "k_Nbke7qxLPRzS8441" build? I'm not seeing anything interesting in the collision ash.
I'm not entirely sure that meant anything in Life. Try LeapLife (got it from a LeapLife thread).
Each day is a hidden opportunity, a frozen waterfall that's waiting to be realised, and one that I'll probably be ignoring
sonata wrote:
July 2nd, 2020, 8:33 pm
conwaylife signatures are amazing[citation needed]
anything

dvgrn
Moderator
Posts: 8019
Joined: May 17th, 2009, 11:00 pm
Contact:

### Re: Randomly enumerating glider syntheses

bubblegum wrote:
March 17th, 2021, 2:26 pm
I'm not entirely sure that meant anything in Life. Try LeapLife (got it from a LeapLife thread).
Aha, of course I should have tried a search before I asked. The LeapLife code was actually quoted from a B3-kq4j8/S2-in34ciz thread -- the seed produces a c/2 puffer in that rule:

Code: Select all

``````x = 161, y = 171, rule = B3-kq4j8/S2-in34ciz
143bobo\$143b2o\$144bo17\$122bo\$26bo16bo78bobo9bobo\$27b2o15b2o76b2o10b2o\$
26b2o15b2o90bo3\$48bobo\$49b2o\$49bo6\$159bo\$158bo\$158b3o\$137bo\$obo133bo\$b
2o133b3o\$bo\$19bo\$20b2o\$19b2o8\$20bo\$18bobo\$19b2o130bo\$149b2o\$150b2o41\$
49bo\$49b2o\$48bobo7\$51bo\$51b2o\$50bobo7\$47b2o\$46bobo\$48bo8\$145b3o\$134b3o
8bo\$134bo11bo\$135bo3\$145bo\$144b2o\$144bobo6\$30b2o\$29bobo\$31bo2\$136b2o\$
135b2o\$137bo7\$113b3o\$113bo\$114bo9\$147b2o\$146b2o\$148bo\$23b2o\$22bobo\$24b
o2\$17b3o\$19bo\$18bo!``````
-- OK, mystery solved. I've checked in the Golly-compatible script here, with some comments to explain how to use it. It's still hard-coded to use "6, 5, 6" and the plain-vanilla Life rule.

Ian07
Posts: 694
Joined: September 22nd, 2018, 8:48 am

### Re: Randomly enumerating glider syntheses

From 10G_D2_+2_stdin:

Code: Select all

``````x = 1449, y = 1905, rule = B3/S23
25bo\$24bo\$24b3o4\$21bo101bo\$19b2o101bo\$20b2o100b3o2\$120bo\$14bo104bobo\$
14bobo101bo2bo\$14b2o103b2o2\$122b2o\$16bo104bobo\$14b2o101b2obobo\$15b2o
100bo3bo\$118b3o\$119bo\$119bo\$118b3o\$117bo3bo\$117b2obobo\$15b2o104bobo\$
14b2o106b2o\$16bo\$119b2o\$118bo2bo\$14b2o103bobo\$14bobo103bo\$14bo\$122b3o\$
122bo\$20b2o101bo\$19b2o\$21bo4\$24b3o\$24bo\$25bo153\$19bo\$20bo\$18b3o11\$52bo
\$51bo\$51b3o2\$40bo\$38b2o\$39b2o5bo\$45bo\$45b3o\$51bo\$51bobo\$51b2o3\$51b2o\$
51bobo\$51bo\$45b3o\$45bo\$39b2o5bo\$38b2o\$40bo2\$51b3o\$51bo\$52bo178\$24bo\$
25bo\$23b3o\$258bo\$256bobo\$257b2o3\$374b2o\$257b2o115b2o\$256bobo\$257bo113b
o\$369bobo\$262bo107b2o\$261bobo\$254b2o5b2o257bo\$253bobo113b3o148bobo\$
254bo10bo254b2o203bo\$264bobo262bo193bobo\$264bobo261bo195b2o\$265bo262b
3o391bobo\$922b2o\$923bo191bobo\$1115b2o\$524bo591bo\$524bobo390bo192bo\$
259bo254bo9b2o222bo168bobo188b2o\$242bo16b3o250b2o234bobo166b2o190b2o\$
240bobo19bo113bo136b2o233b2o\$82bo158b2o18b2o113b3o\$82bobo159b2o16bob2o
113bo359bobo179bo\$82b2o160b2o16bob2o112b2o359b2o179bo427bobo9bo\$261b2o
116bob2o134bo56bo165bo179b3o264bo160b2o10bobo\$262bo116bob2o134bobo52bo
bo8b2o582bo18bo162bo10b2o\$259b3o116b2o137b2o54b2o8bo2bobo512bo66b2o16b
3o\$77bo8bo172bo119bo196bo7b2ob2o512bobo3bo59b2o268bo\$75b2o8bo290b3o
196bobo7bo327bobo185b2o4bobo74bo171bo81bo\$76b2o7b3o288bo140b2o56bobo7b
o327b2o192b2o61bo12bobo170bobo77b3o7bo\$517bobo56bo7b2ob2o146bo5bobo
170bo255bo12bobo170b2o82b2o3bobo\$517bo65bo2bobo146bobo3b2o427bo13bo
162bo92b2o3bobo\$583b2o150b2o5bo434bo169bobo94b2ob2o\$265bo900b3o7bobo
168b2o97bo\$264bobo910bo2b2o264bo\$83bo180bobo246b2o399bo263b2obo262b2ob
2o\$83bobo168bo10bo246b2o399b2o264bo167b2o91b2o3bobo\$83b2o168bobo258bo
9b2o387bobo263bo167bobo90b2o3bobo\$254b2o5b2o261bobo651b2obo165bo88b3o
7bo\$261bobo260bo210b2o5bo434bo2b2o174b2o80bo\$262bo472bobo3b2o423b3o7bo
bo177bobo78bo\$369b3o363bo5bobo176b3o254bo178bo\$257bo662bo249bo13bo\$
256bobo269b3o390bo248bo12bobo\$257b2o111b2o156bo578b2o61bo12bobo163bo
10b2o\$369bobo157bo571b2o4bobo74bo163b2o10bobo\$371bo148b2o395b2o182bobo
3bo59b2o179bobo9bo\$520bobo217bo176bobo181bo66b2o16b3o\$257b2o115b2o144b
o218b2o176bo249bo18bo\$256bobo115b2o363bobo445bo\$83b2o173bo\$83bobo662b
2o173bo\$83bo664bobo171b2o\$748bo173bobo\$1109b2o\$1108b2o\$1110bo\$1116bo\$
76b2o7b3o1027b2o\$75b2o8bo1029bobo\$77bo8bo637b2o\$723bobo\$725bo2\$82b2o\$
82bobo\$82bo27\$23b3o\$25bo\$24bo201\$456bobo\$457b2o\$457bo4\$30bo\$29bo255bo
8bo\$29b3o251b2o8bo\$284b2o7b3o3\$26bo\$24b2o\$25b2o114bo146bobo210bo\$141bo
bo144b2o211bobo\$141b2o146bo211b2o2\$281bo229bo\$140bo140bobo226bo\$139bob
o10bo128b2o227b3o158bo\$40bo98bobo10bobo514b2o12bo\$38b2o100bo11b2o516b
2o10bo\$32bo6b2o108bo355bobo174b3o\$30b2o110bo5bobo354b2o\$31b2o108bobo5b
2o355bo168bo\$141bo2bo353bo174b2o\$139b2ob2o353bo176b2o\$138bobo356b3o9bo
158bo\$138bobo368bo158bobo\$31b2o106b2ob2o365bo158b2o\$30b2o109bo2bo\$32bo
6b2o100bobo5b2o\$38b2o102bo5bobo130b2o\$40bo108bo131bobo\$140bo11b2o127bo
227bo\$139bobo10bobo354bo\$139bobo10bo136bo207b3o9bo\$140bo147b2o207bo\$
288bobo207bo169b2o\$506bo161bobo\$25b2o114b2o362b2o161bo\$24b2o115bobo
361bobo166b2o\$26bo114bo531b2o\$284b2o7b3o379bo\$283b2o8bo216b3o\$285bo8bo
215bo171b3o\$29b3o479bo158b2o10bo\$29bo639b2o12bo\$30bo470b2o168bo\$501bob
o\$501bo177\$27bo3bo285bo\$25b2o4bobo283bobo\$26b2o3b2o284b2o\$80bo229bobo\$
80bobo227b2o142bo11bo\$80b2o118bo110bo140b2o10b2o\$89bobo108bobo250b2o5b
o4b2o\$77b2o10b2o109b2o7bo249bo\$77b2o11bo116b2o250b3o\$208b2o98bo\$26bo7b
o52bo219bo\$25bo8bobo50bo219b3o\$25b3o6b2o51bo110bo\$198bobo4bo245bobo\$
78b2o2b2o5b3o106b2o5bobo112bo130b2o\$77bo2bo2bo121b2o105bo5b2o132bo\$78b
2ob2o229bobo4b2o\$81bo230b2o\$81bo123b2o245bo\$78b2ob2o115b2o5bobo243b2o\$
77bo2bo2bo114bobo4bo106b2o137bobo\$78b2o2b2o5b3o106bo113bobo4b2o\$312bo
5b2o\$87bo232bo\$87bo120b2o\$25b3o6b2o51bo119b2o250b3o\$25bo8bobo163b2o7bo
97b3o149bo\$26bo7bo42b2o11bo109bobo104bo145b2o5bo4b2o\$77b2o10b2o109bo
107bo143b2o10b2o\$89bobo362bo11bo\$80b2o\$80bobo\$80bo230bo\$310b2o\$310bobo
\$26b2o3b2o284b2o\$25b2o4bobo283bobo\$27bo3bo285bo150\$422bo\$421bo\$421b3o
2\$33bobo108bobo\$33b2o102b3o4b2o128bo\$34bo110bo127bo\$135bo5bo131b3o\$
135bo5bo\$135bo5bo273bo\$36bo107b2o264bo4bobo\$36bobo105b2o264bobo2b2o\$
36b2o87bo13b2o269b2o\$23bobo99bo12bo2bo\$23b2o100bo13b2o128bo\$24bo96bo
145b2o\$122bo145b2o\$120b3o\$416bo\$276bo139bobo\$122b2o19b2o129b2o140b2o\$
122b2o20bo2b2o126b2o\$30bo113bobobo118bo137bo\$28b2o113b2ob2o117b2o138bo
bo\$29b2o114bo120b2o137b2o\$145bo\$143b2ob2o\$29b2o113bobobo117b2o137b2o\$
28b2o92b2o20bo2b2o116b2o138bobo\$30bo91b2o19b2o122bo137bo\$275b2o\$274b2o
140b2o\$120b3o153bo139bobo\$122bo293bo\$121bo\$125bo13b2o127b2o\$24bo100bo
12bo2bo125b2o\$23b2o100bo13b2o128bo\$23bobo118b2o\$36b2o106b2o264b2o\$36bo
bo96bo5bo268bobo2b2o\$36bo98bo5bo268bo4bobo\$135bo5bo273bo\$145bo\$137b3o
4b2o127b3o\$34bo109bobo126bo\$33b2o239bo\$33bobo2\$421b3o\$421bo\$422bo117\$
20bobo\$20b2o\$21bo8\$25bo\$23b2o\$24b2o69bo\$96bo\$13bo80b3o\$11b2o7bo77b2o\$
12b2o4b2o78b2o7b2o4b2o\$19b2o86bo2b2o2bo\$108b2o2b2o\$109bobo\$109bobo\$
108b2o2b2o\$107bo2b2o2bo\$98b2o7b2o4b2o\$98b2o\$94b3o\$19b2o75bo\$12b2o4b2o
75bo\$11b2o7bo\$13bo2\$24b2o\$23b2o\$25bo8\$21bo\$20b2o\$20bobo76\$30bo\$30bobo\$
30b2o6\$22bo\$21bo6bo\$21b3o4bobo\$28b2o\$202b2o\$202bobo\$199bo4bo\$122b2o75b
5ob2o\$122bobo79bo2bo\$25bo93bo4bo74b3o2bob2o\$23b2o94b5ob2o72bo2bobo\$24b
2o98bo2bo74bobo\$119b3o2bob2o73b2ob2o6b2o3bo\$119bo2bobo87b2o2bo\$116bo5b
obo91b3o\$116bo4b2ob2o6b2o\$116bo15b2o\$110bobo\$24b2o85b2o99b2o\$23b2o86bo
100b2o\$25bo\$116bo5bo9b2o\$116bo5bo9b2o\$116bo5bo2\$118b3o\$28b2o\$21b3o4bob
o169b2o\$21bo6bo90b3o78b2o\$22bo98bo\$120bo76b2o\$196bobo\$2o196bo\$b2o\$o\$
30b2o\$30bobo\$30bo116\$10bo\$10bobo\$10b2o8\$18bo\$16b2o\$17b2o\$115b2o\$11bo9b
o89b2obobo\$10bo8b2o89bobobo18b2o\$10b3o7b2o88bobobo17bo2bo\$111b2ob2o17b
2o\$114bo\$114bo23b3o\$111b2ob2o17b2o3bo\$110bobobo17bo2bo3bo\$110bobobo18b
2o\$111b2obobo\$115b2o\$10b3o7b2o\$10bo8b2o\$11bo9bo2\$17b2o\$16b2o\$18bo8\$10b
2o\$10bobo\$10bo128\$24bo\$24bobo\$24b2o\$18bo112bo\$18bobo104b2o3bo\$18b2o
104bo2bo2b3o\$124bo2bo20bo\$125b2o20bo\$12bo7bo126b3o\$11bo7bo88bo20b3o\$
11b3o5b3o84bobo36bo\$107b2o36bo\$145bo\$24bo85b2o\$22b2o86b2o\$23b2o2\$108b
2o2b2o\$107bobo2bobo\$107bo6bo\$108b6o2\$110b2o\$110b2o2\$108b6o\$107bo6bo\$
107bobo2bobo\$23b2o83b2o2b2o\$22b2o\$24bo\$110b2o\$110b2o\$11b3o5b3o123bo\$
11bo7bo87b2o36bo\$12bo7bo85bobo36bo\$108bo20b3o\$147b3o\$18b2o105b2o20bo\$
18bobo103bo2bo20bo\$18bo105bo2bo2b3o\$24b2o99b2o3bo\$24bobo104bo\$24bo82\$
6bo\$4bobo\$5b2o4\$29bo\$29bobo\$29b2o4bo\$34bo\$34b3o4\$33bo\$24bo6b2o\$24bobo
5b2o\$24b2o3\$24b2o\$24bobo5b2o\$24bo6b2o\$33bo4\$34b3o\$34bo\$29b2o4bo\$29bobo
\$29bo!
``````