23-bit still life syntheses

For discussion of specific patterns or specific families of patterns in Conway's Game of Life, both newly-discovered and well-known.
hkoenig
Posts: 296
Joined: June 20th, 2009, 11:40 am

Re: 23-bit still life syntheses

Post by hkoenig » December 15th, 2025, 12:04 am

I believe that can be reduced by one:

Code: Select all

#C 23_0ck0fpzc9701226
x=38, y=46
2bo$obo$b2o16$19bo6bo$17bobo6bobo$18b2o6b2o2$23bobo$24b2o10b2o$24bo6b2obo2b
o$31bob4o2$29b4obo$28bo3b2obo$28b2o5bo$35b2o4$23bo$24b2o$23b2o$15b3o$17bo$16b
o4$21b2o$22b2o$21bo!

mvr
Posts: 132
Joined: November 8th, 2009, 4:58 am

Re: 23-bit still life syntheses

Post by mvr » December 15th, 2025, 1:40 am

EvinZL wrote:
December 14th, 2025, 8:20 pm
#3 is easy with the usual trick

Code: Select all

x = 21, y = 16, rule = B3/S23
8bo$6bobo$7b2o3bo$11bo$11b3o2$2o16bobo$obo15b2o$2bo16bo$b2ob2obo$bo2b
ob2o4b2o$3bo4b2o2b2o$2b2ob2obo$5bo2bo$5bobo$6bo!
Here's the resulting synthesis of xs23_0c8im453zca2543

Code: Select all

x = 703, y = 52, rule = B3/S23
bo$2bo23bo$3o23bobo$26b2o2$86bobo$87b2o$83bo3bo$81bobo13bo$82b2o13bobo
182bo417bo$97b2o183bobo8bo406bobo$278bo3b2o7b2o407b2o$86bo192bo12b2o$
87b2o188b3o$86b2o90bo$179bo91b2o16bo65b2o334bo$24bo152b3o7b2o82bo2b2o
11b2o66bo2b2o332bo$8bo15bobo53bo89bobo14bo2b2o16bo63b3o2bo10b2o66b3o2b
o328b3o$6bobo15b2o55b2o88b2o15b3o2bo14bobo8bo56b4o80b2o$7b2o19b2o50b2o
89bo20b4o12b2o9bobo52b2o4bo77b2o334bobo$28bobo159b2o4bo22b2o53bo2b3o
78bo2b3o330b2o$28bo161bo2b3o79bobo81bobo2bo330bo$192b2o82bo83bo2b2o
321b3o$96b2o341b2o82b2o82b2o79bo2b2o$39bo54b3o2bo339bo2b2o79bo2b2o79bo
2b2o75bo3bo2b2o$7b3o28bo54bo4b4o83bobo104b2o146b3o2bo78b3o2bo78b3o2bo
78b3o2bo$9bo28b3o53b4o4bo83b2o103b2o69bo5b2o62bo11b2o82b2o82b2o82b2o$
8bo75b2o10bo2b3o84bo106bo67b2o4b2o61bobo9b2o82b2o82b2o82b2o$85b2o11b2o
93b3o3bo157bo3bobo5bo61b2o9bo2b3o78bo2b3o78bo2b3o79bob3o$84bo108bo4b2o
157b2o84bobo2bo78bobo2bo69bo8bobo2bo77bo2bo2bo$19bo174bo3bobo85b2o68bo
bo85bo2bo78b2o3bo71bo6b2o3bo78b2o3bo$17bobo74b3o92b3o93b2o142b2o14b2o
81b3o70b3o8b3o81b3o$18b2o19b2o39b2o12bo96bo95bo75bo66b2o96bo83bo83bo$
22b2o15bobo39b2o7b2o3bo94bo171b2o65bo$21bobo15bo40bo8bobo91b3o20b2o67b
2o85bobo239b2o$23bo67bo93bo20bobo65bobo13b2o311bobo5b2o$174b3o7bo21bo
4b2o63bo13bobo233b2o77bo5b2o$176bo34bobo72bo3bo234bobo$175bo6bo28bo73b
2o240bo$182b2o101bobo242b2o$177bo3bobo346bobo$177b2o248bo102bo76b2o$
176bobo248b2o179b2o$426bobo25b2o151bo$433b2o18b2o$166bo265bobo20bo$
166b2o266bo3b2o$165bobo269bobo$20b2o417bo$19bobo23b3o$21bo23bo$46bo!
And a solution for xs23_0ck3qik8z259a6 unrelated to the broken steps.

Code: Select all

x = 1260, y = 49, rule = B3/S23
109bo$107b2o464bo$108b2o464bo$572b3o2$189bo$188bo$101bo86b3o$100bo78bo
314bo$100b3o76bobo310bobo80bo163bo$175bo3b2o312b2o81b2o162b2o$176bo
327b2o69b2o11b2o149b2o99b2o82b2o82b2o$174b3o11bo118bo19bo176bo2b2o79bo
2b2o142bo104bo2b2o79bo2b2o79bo2b2o$84b2o100b2o117bobo17b2o9b2o168b2o2b
o72b2o5b2o2bo138bobo12bo92b3o2bo78b3o2bo78b3o2bo$84bo2b2o79b2o17b2o63b
2o52b2o18b2o8bo2b2o168b2o64bo6bobo8b2o139b2o12bobo94b2o82b2o82b2o$14bo
bo69b2o2bo11bo65bo2b2o79bo2b2o81b2o2bo3b2o157bob2o2b2o62b2o7bo5b3o2b2o
56bo94b2o93b2o2b2o78b2o2b2o78b2o2b2o$14b2o73b2o9b2o68b2o2bo79b2o2bo3b
2o77b2o3bo158b2obo2bobo60bobo12bo2bo2bobo53bobo187bo2bo2bobo70bo5bobo
2bobo76bobo2bobo$15bo69bob2o2b2o8b2o3b2o65b2o82b2o3bo74bob2o2b2obo162b
2o3bo74b2o2b2o3bo53b2o187b2o2b2o3bo67bobo4bo3b2o3bo75bo2b2o3bo$85b2obo
2bobo11b2o62bob2o2b2obo74bob2o2b2obo74b2obo2bobo79bo85b3o81b3o58bobo
177bobo8b3o69b2o3bo6b3o74bobo4b3o$92bo14bo61b2obo2bob2o74b2obo2bobo79b
2o80b2o86bo83bo60b2o179b2o8bo76b2o5bo76b2o5bo86bo$2o98b2o82bo219b2o18b
2o71b3o157bo3bo2b2o75bo95bo254b2o9b2o71b2o74b2o$o2b2o95bobo81bobo162bo
54bo2b2o20bo69bo151bo9b4o2bo72bobo2bo2b2o171b2o169bo2b2o5b2o72bo2b2o
71bo2b2o$2b2o2bo93bo83b2o162b2o56b2o2bo3b2o13bobo66bo152b2o13b2o66bo6b
o3b4o2bo163b2o3bobo170b3o2bo78b3o2bo70b3o2bo$5b2o250bo85b2o3bobo58b2o
3bo8b2o4b2o219bobo10b3o2b2o62bobo15b2o86b2o76b2o4bo83b2o5b2o82b2o82b2o
74b2o$bob2o252b2o83bobo60bob2o2b2obo7b2o76b3o159bo2bo2bobo62b2o2bobo7b
3o2b2o85b2o74bo89bobo5bobo79b2o2b2o4bobo4bo66b2o74b2o$b2obo12bo171b3o
64bobo3bo81bo60b2obo2bobo10bo75bo161b2o2b2o3bo66b2o6bo2bo2bobo83bo168b
o5bo80bobo2bobo3b2o5bobo63bobo73bobo$16bo172bo71b2o86b2o58b2o90bo166b
3o67bo7b2o2b2o3bo338bo2b2o3bo3bo5b2o64bo2b2o71bo2b2o$16b3o171bo70bobo
85bobo59b2o255bo83b3o254b2o84b2o2b3o77b2o2bob2o68b2o2bo$183b3o163bo61b
obo320b3o15bo255b2o87bobo81bobob2o70bobo$12b3o168bo72bo155bo323bo273bo
86b2o7b2o73b2o6b2o58bo7b2o$6b2o6bo169bo4b3o64b2o477bo369b2o82bobo58b2o
$7b2o4bo175bo65bobo162bo686bo81bo59b2o$6bo183bo228b2o$324b2o93bobo327b
3o$324bobo110bo311bo500b2o$324bo111b2o127b2o183bo500b2o$436bobo127b2o
677bo4bo$565bo176b3o500b2o$744bo499bobo$743bo3$320bo48bo$320b2o46b2o$
319bobo46bobo2$363b2o$363bobo$363bo!

FlutterWithKSparkler
Posts: 55
Joined: October 14th, 2023, 12:43 pm

Re: 23-bit still life syntheses

Post by FlutterWithKSparkler » December 15th, 2025, 2:04 am

xs23_c4go0e93zwmdzx113 and xs23_c4go0e96zwmdzx113 can be synthesized from known components.

Code: Select all

x = 64, y = 56, rule = B3/S23
6b2o48b2o$5bobo47bobo$2o3bo44b2o3bo$o2bob2o43bo2bob2o$2b2o48b2o$3bo49b
o$2bo49bo$2b2o48b2o2$52b2o8bo$4b2o46b2o7bo$3b2o56b3o$5bo36b2o$43b2o2b
3o$42bo4bo11b2o$38b2o8bo10bobo$4b2o33b2o18bo$3b2o33bo$5bo3$61b3o$61bo$
62bo9$6bo49bo$5bobo47bobo$2o3bobo42b2o3bobo$o2bob2o43bo2bob2o$2b2o48b
2o$3bo49bo$2bo49bo$2b2o48b2o2$52b2o8bo$4b2o46b2o7bo$3b2o56b3o$5bo36b2o
$43b2o2b3o$42bo4bo11b2o$38b2o8bo10bobo$4b2o33b2o18bo$3b2o33bo$5bo3$61b
3o$61bo$62bo!
However, despite neither having synthesis displayed on catagolue, these two apgcodes are not in the list of 36 left on the first post of this thread. Could someone check the records for their existence, and confirm that (1) the enumeration of apgcodes of strict 23-bit still lives as synthesis targets had been complete, and (2) obtained batch transfer results had been submitted to repository and viewable on catagolue?

Edit: so this has been explained before in September. Any updates to clear this confusion now that three months have passed?
Last edited by FlutterWithKSparkler on December 15th, 2025, 3:08 am, edited 2 times in total.
(*≧▽≦)~Yay

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ThePlayzr
Posts: 698
Joined: April 19th, 2025, 1:33 am
Location: Australia
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Re: 23-bit still life syntheses

Post by ThePlayzr » December 15th, 2025, 2:32 am

FlutterWithKSparkler wrote:
December 15th, 2025, 2:04 am
However, despite neither having synthesis displayed on catagolue, these two apgcodes are not in the list of 36 left on the first post of this thread. Could someone check the records for their existence, and confirm that (1) the enumeration of apgcodes of strict 23-bit still lives as synthesis targets had been complete, and (2) obtained batch transfer results had been submitted to repository and viewable on catagolue?
Shinjuku is a better place to look, as catagolue is not always up to date.
Please help me prove b3s23-a5 omniperiodic!
Please visit my ruleset and contribute!
User:ThePlayzr
Finally got LLS! Time to do way too much searching!

vilc
Posts: 288
Joined: March 20th, 2024, 4:36 pm

Re: 23-bit still life syntheses

Post by vilc » December 17th, 2025, 4:47 am

mvr wrote:
December 14th, 2025, 7:29 pm
Here are some more broken steps that would lead to solutions. Again there's a mix of plausible-looking to totally impossible, but I'll post them all just in case...
I solved the last one :

Code: Select all

x = 46, y = 40, rule = B3/S23
bo$2bo$3o38bo$39b2o$40b2o4$43bo$43bobo$43b2o$23bo$21b2o$22b2o$38bo$38b
obo$9bobo26b2o$10b2o$10bo3bobo$14b2o$15bo7b2o$22bobo$22bo$18b2ob2obo$
18bo4b2o$20b2o$19b2o$16b2o4bo$16bob2ob2o$18bo$16bobo$16b2o24b2o$42bobo
$42bo4$39bo$38b2o$38bobo!
Edit:
Solved #1

Code: Select all

x = 56, y = 26, rule = B3/S23
3bobo$4b2o$4bo5$5bobo$6b2o4bobo$6bo5b2o$13bo$bo$2bo40bobo$3o41b2o$44bo
$49bo$49bo$49bo$16b2o35b2o$16bo36bo$17bo36bo$10bobo3b2o31bo3b2o$9bob4o
32b5o$9bo5b2obo27bo5b2obo$10bobo2bob2o28bobo2bob2o$11b2o35b2o!
Edit 2:
Solved #5

Code: Select all

x = 22, y = 20, rule = B3/S23
11bo5bobo$bo7b2o6b2o$b2o7b2o6bo$obo2bo$5bobo$5b2o8bobo$15b2o$16bo3$6bo
$5bobo$5bo2bo11bo$6bobo10b2o$5b2o2b2o8bobo$7b2o2bo$7bo2b2o$8bobo$5b3o
2bo$5bo4b2o!

mvr
Posts: 132
Joined: November 8th, 2009, 4:58 am

Re: 23-bit still life syntheses

Post by mvr » December 18th, 2025, 3:17 am


vilc
Posts: 288
Joined: March 20th, 2024, 4:36 pm

Re: 23-bit still life syntheses

Post by vilc » December 18th, 2025, 11:55 am

Solved #7.

Code: Select all

x = 37, y = 43, rule = B3/S23
bo$2bo$3o6$10bo$11bo$9b3o2$6bo$4bobo$5b2o25bo$30b2o$31b2o2$7bo$8b2o4bo
$7b2o4bo$13b3o$32bo$31bo$31b3o$19bo$18bobo$19bobo$20b2o2$13b2o3bo$13bo
2b3o$14b2o$16bo$13bobo$13b2o16b2o$30b2o$32bo3$35bo$34b2o$34bobo!
This brings us to 20 remaining still-lifes, doesn't it ?

Edit:
EvinZL wrote:
December 14th, 2025, 10:55 pm
Solution for #2:

Code: Select all

x = 27, y = 44, rule = B3/S23
17bobo$18b2o$18bo5$21bobo$16bobo2b2o$17b2o3bo$17bo5$8bo$6bobo$7b2o2$4b
o$5b2o$4b2o2$25b2o$20b2obo2bo$20bob4o2$18b4obo$17bo3b2obo$17b2o5bo$24b
2o2$bo$b2o$obo3$5b3o$7bo$6bo2$3o$2bo$bo!
mvr, did this component complete the synthesis of xs23_0ck0fpzc9701226? It is still shown as unsolved in Catagolue.

mvr
Posts: 132
Joined: November 8th, 2009, 4:58 am

Re: 23-bit still life syntheses

Post by mvr » December 18th, 2025, 6:11 pm

vilc wrote:
December 18th, 2025, 11:55 am
mvr, did this component complete the synthesis of xs23_0ck0fpzc9701226? It is still shown as unsolved in Catagolue.
True! Going back, I made a mistake: there was a second broken step in that recipe.

Code: Select all

x = 41, y = 24, rule = B3/S23
bo$2bo$3o7$12bo$12bobo$8bo3b2o$9bo$7b3o9b2o18b2o$15bobo2bo13b2obo2bo$
12bobob4o14bob4o$11bob2o$11bo3bobo14b4obo$10b2o3b2obo12bo3b2obo$18bo
12b2o5bo$18b2o18b2o$6b3o$8bo$7bo!
Not really sure how that one is supposed to work. Sorry EvinZL!

Edit: xs23_696o8z641ui96 solved by a new step by Goldtiger997:

Code: Select all

x = 76, y = 24, rule = B3/S23
19bobo$19b2o$20bo$38bo28bo$11bo24bobo26b2o4bobo$9bobo25b2o10bo16b2o3b
2o$10b2o37bobo20bo$49b2o$39b2o22bobo$40b2o22b2o3bo$10bo28bo24bo3bobo$
4b2o4b2o8b2o21bo2b2o20bo2bo$5b2o2bobo5b2o2bo20bobo2bo21bobo$4bo12bob2o
22bob2o6b2o15bob2o$19bo25bo6b2o18bo$18bo2bo22bo2bo6bo16bo2bo$16bo2b2ob
o19bo2b2obo20bo2b2obo$2o14b2obo2bo19b2obo2bo20b2obo2bo$b2o16bobo23bobo
24bobo$o6b3o9b2o24b2o25b2o$9bo$8bo3b2o$12bobo$12bo!
Edit: Now attempting to find new 4-glider components through random collisions; I was previously only searching 3-glider collisions.

vilc
Posts: 288
Joined: March 20th, 2024, 4:36 pm

Re: 23-bit still life syntheses

Post by vilc » December 21st, 2025, 6:19 am

Solved xs23_0o8brzok460bd and xs23_0rb8ozok460bd.

Code: Select all

x = 326, y = 81, rule = B3/S23
198bobo$199b2o$199bo21$196bo$197bo$195b3o$226bo$227bo$225b3o$209bo$
210b2o$209b2o3$209bo$210b2o$209b2o20bo$232b2o$231b2o2$92bo113bo$93bo
113b2o$91b3o112b2o27bo$101bo132bo$101bobo96bo27bo5b3o$11bo89b2o98bo27b
o$12bo186b3o25b3o$10b3o$251bo5bo$249b2o4b2o$16bobo231b2o4b2o$11bobo2b
2o$12b2o3bo$12bo$5b2o85b2o$5bo86bo2b2o$2b2obo83b2obo3bo133b3o71bo4bo$b
obob2o81bobob2o2bobo206bo4b2o$obo84bobo7b2o204b3o3b2o$bo86bo139b2o$14b
3o211bo2b2o$14bo210b2obo3bo77b2o9bob2o$15bo208bobob2o2bobo76b2o8b2obo$
223bobo7b2o75bo8b2o$224bo94bo2b2o$207b2o107b2obo3bo$208b2o106b2ob2o2bo
bo$207bo116b2o$309b3o$311bo$310bo$252b2o$206bo44b2o$206b2o45bo$205bobo
$231bo$230b2o$230bobo$204b2o$203bobo$205bo!
Edit:
Solved xs23_0o4iq4871zc452023.

Code: Select all

x = 242, y = 50, rule = B3/S23
203bo$204bo$202b3o7$186bo$187bo$185b3o5$228bo$203bo22b3o$113bo90b2o16b
2obo$111b3o89b2o17bo3bo$10bo96b2obo113b2obo$8b3o96bo3bo110bobo2bo$4b2o
bo101b2obo108bobo2bo$4bo3bo98bobo2bo108bo5b3o$6b2obo96bobo2bo108b2o7bo
$4bobo2bo96bo5b3o90b3o$3bobo2bo96b2o7bo77b2o13bo$4bo4b3o181b2o11bo17b
3o$o10bo180bo$b2o$2o3$bo4b2o$2o4bobo$obo3bo96b2o$104b2o$103bo9bo$112b
2o$112bobo$195b2o43bo$194bobo42b2o$196bo42bobo$212bo$212b2o$211bobo2$
239bo$238b2o$238bobo!
Edit 2:
Solved xs23_256o86p3z651221.

Code: Select all

x = 167, y = 29, rule = B3/S23
163bobo$3b2o4bo153b2o$3bobo2bobo65b2o4bo81bo$5bo2b2o66bobo2bobo$4bob2o
70bo2b2o62b2o4bo$4bo2bo69bob2o64bobo2bobo$5bo71bo2bo66bo2b2o$2b3o73bo
2b2o63bob2o$2bo72b3o4bo63bo2bo$75bo4bo66bo2b2o14bo$80b2o62b3o4bo12b2o$
7b2o77bo57bo6bobo6bo4b2o$6bobo76bo66b2o4b2o$8bo76b3o71b2o$bo$b2o7bo$ob
o6b2o70bo$9bobo69b2o3bo$15b2o63bobo2b2o$14b2o69bobo51bo$16bo122b2o$
138bobo12b2o$66b3o11b2o71bobo$68bo11bobo70bo$67bo12bo2$160bo$159b2o$
159bobo!
15 still-lifes remain (I just did a complete check, just in case). Stamp collection :

Code: Select all

x = 69, y = 70, rule = B3/S23
b2o19b2o20b2o17b2o$o2bo17bo2bob2o16bo2bo14bob3o$obo17bo2bo3bo13b2o
bob2o13bo5bo$bob3o15b2ob2o15bobobo14bob2obo2bo$3bo2bo17bo20bo15bo
2b4o$2bo2bo15b2o3bo15b3o17bo$o2b2o16bo3b2o13bo2bo19b3o$2obo18bo17b
2o3bo19bo$3bo17b2o21b2o$3b2o11$b2o22b2o18bo19bo$bo3b2o17bobo17bobo
17bobo$3bo2bo13b2o2bo19bobo17bo2bo$2b3o15bobob2o16b2obo15b2ob2obo$
bo20bo3bo13bo2bo17bobo2bo$o2bobo15bobobo14b2o2bo19bo$b2ob2o14bo2b
2o16bob2o17b2o$2bo17bobo17bo2bo16bo2bobo$obo18b2o17b2o3bo14b2o2b2o
$2o42b2o11$2bo2b2o17bo19bo17b2o$bobo2bo16bobo17bobo15bo2bo$o2bobo
17bo2bo16bo2bo13bo2b2o$b3ob2o14b2obobo14b2ob2o14b3o2b2o$6bo13bo2bo
bo14bo2bo19bo2bo$ob2obo14bo2bo16bo2bo16b2ob2o$2ob2o16b2o2bo15b2ob
2o14bo2bo$22bob2o16bo2bo15bobo$22bo18bo2bo17bo$21b2o19b2o11$6b2o
16b2o16b2o$6bo17bo16bo2bo$3b2obo14b2obo15bo2bo$2bo2bo15bo2b2o14b2o
b2o$bobo18bo2bo15bo2bo$o2b2o16b2obo15bo2bo$2o2bo17bo2b3o12b2ob2o$b
obo16bobo4bo14bo2bo$o2b2o15b2o20bobo$2o41bo!

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Goldtiger997
Posts: 805
Joined: June 21st, 2016, 8:00 am

Re: 23-bit still life syntheses

Post by Goldtiger997 » December 22nd, 2025, 8:42 am

Solved xs23_g88m9a4z1amha6:

Code: Select all

x = 175, y = 25, rule = B3/S23
13bo49bo49bo49bo$12bobo47bobo47bobo47bobo$12bo2bo46bo2bo46bo2bo7bo3bo
34bo2bo$10b2ob2o45b2ob2o45b2ob2o6b2o3bo33b2ob2o$9bo2bo46bo2bo46bo2bo9b
2o2b3o30bo2bo$9bo2bo7bo38bo2bo46bo2bo18b2o26bo2bo$o9b2ob2o4bo40b2ob2o
45b2ob2o15b2o19bobo6b2ob2o$b2o8bo2bo4b3o39bo2bo46bo2bo17bo19b2o7bo2bo$
2o9bobo47bobo47bobo38bo8bobo$12bo47b2ob2o45b2obobo44b2obobo$114b2o9bo
38bobo$125bobo37bo$125b2o19b2o$3b3o139bobo22bo$5bo3b2o54bo81bo20b2o$4b
o5b2o2bobo42b2o4b2o3bo43bo35bo18b2o$9bo4b2o42bobo3bobo2b2o43b2o34b2o$
15bo44bo8bobo41bobo33bobo3$167b2o4bo$167bobo2b2o$67b2o98bo4bobo$67bobo
$67bo!
Edit: xs23_cq1dqz32cja4 can be solved in the same way.

Code: Select all

x = 175, y = 25, rule = B3/S23
11bo49bo49bo49bo$10bobo47bobo47bobo47bobo$9bo2bo46bo2bo46bo2bo10bo3bo
31bo2bo$10b2ob2o45b2ob2o45b2ob2o6b2o3bo33b2ob2o$11bo2bo46bo2bo46bo2bo
7b2o2b3o32bo2bo$10bo2bo6bo39bo2bo46bo2bo17b2o27bo2bo$o9b2ob2o4bo40b2ob
2o45b2ob2o15b2o19bobo6b2ob2o$b2o8bo2bo4b3o39bo2bo46bo2bo17bo19b2o7bo2b
o$2o9bobo47bobo47bobo38bo8bobo$12bo47b2ob2o45b2obobo44b2obobo$114b2o9b
o38bobo$125bobo37bo$125b2o19b2o$3b3o139bobo22bo$5bo3b2o54bo81bo20b2o$
4bo5b2o2bobo42b2o4b2o3bo43bo35bo18b2o$9bo4b2o42bobo3bobo2b2o43b2o34b2o
$15bo44bo8bobo41bobo33bobo3$167b2o4bo$167bobo2b2o$67b2o98bo4bobo$67bob
o$67bo!

Chris857
Posts: 672
Joined: June 10th, 2020, 11:26 pm

Re: 23-bit still life syntheses

Post by Chris857 » December 22nd, 2025, 12:49 pm

Is there any way to go from xs24_br0ra9jz320121 to xs23_4a9e0drz321321? The 24-bitter has a synthesis.

Code: Select all

x = 29, y = 9, rule = B3/S23
14bo$2bo2b2o17bo2b2o$bobo2bo9bo6bobo2bo$o2bobo16bo2bobo$b3ob2o3bobobo
bobo4b3ob2o$28bo$ob2ob2o9bo5bob2obo$2obob2o15b2ob2o$14bo!
Edit: or from xs25_4a9e0dbz32130352 (boat instead of block) or xs26_4a9e0dbz32130356 (ship instead of block).

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Anivec
Posts: 1926
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Location: Somewhere I Belong

Re: 23-bit still life syntheses

Post by Anivec » December 22nd, 2025, 12:57 pm

Chris857 wrote:
December 22nd, 2025, 12:49 pm
Is there any way to go from xs24_br0ra9jz320121 to xs23_4a9e0drz321321? The 24-bitter has a synthesis.

Code: Select all

x = 29, y = 9, rule = B3/S23
14bo$2bo2b2o17bo2b2o$bobo2bo9bo6bobo2bo$o2bobo16bo2bobo$b3ob2o3bobobo
bobo4b3ob2o$28bo$ob2ob2o9bo5bob2obo$2obob2o15b2ob2o$14bo!
Edit: or from xs25_4a9e0dbz32130352 (boat instead of block) or xs26_4a9e0dbz32130356 (ship instead of block).
It may also be possible with an asymmetrical still life such as xs23_4a9e0drz321311.

Code: Select all

x = 29, y = 9, rule = B3/S23
14bo$2bo2b2o17bo2b2o$bobo2bo9bo6bobo2bo$o2bobo16bo2bobo$b3ob2o3bobobo
bobo4b3ob2o$5bo22bo$ob2obo10bo5bob2obo$2ob2o17b2ob2o$14bo!

vilc
Posts: 288
Joined: March 20th, 2024, 4:36 pm

Re: 23-bit still life syntheses

Post by vilc » December 22nd, 2025, 3:03 pm

xs23_0c487p46z64139c and xs23_0j9c826zpie123

Code: Select all

x = 644, y = 173, rule = B3/S23
592bobo$593b2o$593bo4$626bobo$626b2o$627bo$359bo244bo14bo$357bobo242bo
bo13bo$358b2o243b2o13b3o4$123bo$122bobo240bo132b2o11bo69bobo$123bo239b
obo130bo2bo10bo71b2o44bobo$364b2o13b2o115b2obob2o7b3o69bo45b2o$14bo
100bo118b2ob2o140bo2bo115bob2obo83bobo14b2o23bo$12b2o101bo119bobo130bo
8bobob2o115bo4bo84b2o12bo2bo$13b2o100bo116b3o2bo131b2o6b2obo118b4o85bo
13b2obob2o$232bo2b2o131b2o10bo109bo113bob2obo$119b2o113bo142b3o111b2o
8b2o101bo4bo$120b2o111b2o142bo112b2o9b2o102b4o$119bo4b2o381b3o96bo$
124bobo380bo96bo$124bo106b2o253bo7b3o11bo95b2o$5bobo223b2o135b3o115b2o
8bo5bo$5b2o363bo14bo99bobo7bo6b2o$obo3bo220b3o139bo14b2o104b2o9bobo3bo
116b2o$b2o226bo144bo9bobo104b2o13b2o116bobo$bo121bo104bo145b2o2b3o109b
o15bobo115bo$123b2o248bobo2bo120bo$122bobo254bo119b2o$127b2o369bobo$
127bobo496b2o$127bo497b2o$598bo28bo$598b2o$597bobo$368b2o$369b2o251b3o
$368bo223b2o28bo18b2o$591bobo29bo17bobo$593bo5b2o40bo$598bobo$600bo24b
o$624b2o$624bobo2$601b2o$600bobo$602bo66$481bobo$482b2o$482bo$147bo$
148bo$146b3o21bo221bobo$170bobo219b2o121bobo$165b3o2b2o221bo121b2o$
165bo350bo$166bo93bo140bo91bo14bo$258bobo138b2o90bobo13bo$259b2o3bo
120bo14b2o90b2o13b3o$263bo122bo6bo$263b3o118b3o6bobo$156b2o235b2o$155b
obo$157bo223bo88bobo$264b2ob2o113bo88b2o44bobo$264bob2obo110b3o88bo20b
2o23b2o$269bo206bobo13bobo23bo$258b3o4b4o208b2o15bo$183bo76bo5bo116b2o
5b2ob2o82bo15b2ob2o$182b2o75bo4bo117bobo4bo2b2obo96bo2b2obo$182bobo79b
2o118bo5bo4bo97bo4bo$391b4o99b4o$392bo102bo$390bo102bo$193b2o195b2o
101b2o$193bobo$193bo$513b2o$513bobo$513bo4$515b2o$514b2o$487bo28bo$
487b2o$486bobo2$511b3o$481b2o28bo18b2o$480bobo29bo17bobo$482bo5b2o40bo
$487bobo$489bo24bo$513b2o$513bobo2$490b2o$489bobo$491bo!

User avatar
ElijahKen
Posts: 233
Joined: March 9th, 2024, 7:32 pm

Re: 23-bit still life syntheses

Post by ElijahKen » December 23rd, 2025, 11:23 am

Anivec wrote:
December 22nd, 2025, 12:57 pm
Chris857 wrote:
December 22nd, 2025, 12:49 pm
Is there any way to go from xs24_br0ra9jz320121 to xs23_4a9e0drz321321? The 24-bitter has a synthesis.

Code: Select all

x = 29, y = 9, rule = B3/S23
14bo$2bo2b2o17bo2b2o$bobo2bo9bo6bobo2bo$o2bobo16bo2bobo$b3ob2o3bobobo
bobo4b3ob2o$28bo$ob2ob2o9bo5bob2obo$2obob2o15b2ob2o$14bo!
Edit: or from xs25_4a9e0dbz32130352 (boat instead of block) or xs26_4a9e0dbz32130356 (ship instead of block).
It may also be possible with an asymmetrical still life such as xs23_4a9e0drz321311.

Code: Select all

x = 29, y = 9, rule = B3/S23
14bo$2bo2b2o17bo2b2o$bobo2bo9bo6bobo2bo$o2bobo16bo2bobo$b3ob2o3bobobo
bobo4b3ob2o$5bo22bo$ob2obo10bo5bob2obo$2ob2o17b2ob2o$14bo!
I tried to find any thing that can do that reaction with LLS; I don't think it is possible.
Engineering macro-spaceships is hard.

vilc
Posts: 288
Joined: March 20th, 2024, 4:36 pm

Re: 23-bit still life syntheses

Post by vilc » December 23rd, 2025, 6:26 pm

Solved xs23_695q88gz641ui1.

Code: Select all

x = 265, y = 32, rule = B3/S23
158bo$159bo$157b3o$163bo$161bobo$162b2o10bobo16bo$159bo15b2o16bobo$
157bobo15bo17b2o$158b2o27bobo$187b2o$173bobo12bo$174b2o$174bo88bo$262b
o$162bo27bo71b3o$8bo5bo148b2o23b2o$9bo2b2o148b2o25b2o$7b3o3b2o$99bobo$
87bo11b2o153bo$86bobo11bo74bo77bo$8b2o77bobo84bobo76b3o$7b2o79bobo84bo
bo$9bo79bo12b2o72bobo4bo$85b2o14b2o57b2o15bo5bo55b2o7b2o$4b2o75bo2bo2b
o15bo55bobo11b2o8bo51bo3b2o6bo2bo$o2bo2bo74b4ob2o73bo7bo2bo2bo14b2o42b
obo11b2o$4ob2o78bo2b2o79b4ob2o13b2o39bo2bo2bo5b2o$4bo2b2o74bo3bo2bo58b
3o21bo2b2o13bo38b4ob2obo3bobo$2bo3bo2bo73b2o3b2o61bo19bo3bo2bo55bo2bob
o3bo$2b2o3b2o141bo20b2o3b2o54bo3bo2bo$232b2o3b2o!
10 still-lifes left.

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Goldtiger997
Posts: 805
Joined: June 21st, 2016, 8:00 am

Re: 23-bit still life syntheses

Post by Goldtiger997 » December 23rd, 2025, 10:48 pm

Solved xs23_8ka9jqik8zw1226:

Code: Select all

x = 43, y = 40, rule = B3/S23
6bobo$7b2o$7bo$10bo$11b2o$10b2o8$25bo2b2o$25b4obo$31bo$27bob2obo$27b2o
2bo$30bo$27b3o$27bo3$10b2o$3bo5bobo$3b2o6bo$2bobo7$bo$b2o$obo2$40b2o$
40bobo$40bo!
Edit: solved xs23_ca9l68oz35871:

Code: Select all

x = 220, y = 50, rule = B3/S23
188bo$186bobo$16bo170b2o$14bobo21bobo12bo$15b2o21b2o13bobo$39bo13b2o$
189bo$18bo25bo145b2o$16bobo25bobo96bo45b2o$17b2o25b2o95b2o$11bo130b2o
41bobo$9bobo174b2o$10b2o124bo49bo$7bo129bo$8bo126b3o$6b3o$187bo$66bo
71bo49bo$67bo70b2o46b3o$65b3o3bo65bobo$72b2o$71b2o2$27b2o55b2o3b2o54bo
3b2o54bo3b2o$26bo2bo54bobobo2bo52bobobo2bo49b2obobobo2bo$26bob2o2bo53b
ob2o2bo50bo2bob2o2bo48bob2obob2o2bo$27bo2b3o52bobo2b3o50b2o2bo2b3o54bo
2b3o$29bo55bo3bo59bo59bo$28b2ob2o51b2o2b2ob2o55b2ob2o55b2ob2o$29bo2bo
56bo2bo56bo2bo56bo2bo$29bobo57bobo57bobo57bobo$30bo59bo26b2o31bo38bo
20bo$45b2o20b3o46bobo70b2o$45bobo21bo48bo64b2o3bobo$45bo22bo3b3o57b3o
47bobo$74bo59bo49bo$73bo59bo13b2o$147bobo$147bo2$5bo4b3o$5b2o5bo$4bobo
4bo180b3o$63b3o128bo$65bo127bo24b2o$64bo152b2o$219bo$3o190bo$2bo190b2o
$bo190bobo!

vilc
Posts: 288
Joined: March 20th, 2024, 4:36 pm

Re: 23-bit still life syntheses

Post by vilc » December 24th, 2025, 7:56 am

Solved xs23_0o8ge9iczc8269c.

Code: Select all

x = 127, y = 41, rule = B3/S23
84bobo$85b2o28bo$85bo29bobo$115b2o3$105bobo$8bo96b2o$8bobo83bo11bo$8b
2o85b2o$2bo91b2o$obo119bo$b2o98b2o17b2o$100bo2bo17b2o$101b2o$86bo$87bo
$85b3o10$104bo$7bo95bobo18b2o$6bobo93bo2bo3b2o7bo5bobo$5bo2bo3b2o89b3o
bo2bo6b2o5bo$6b3obo2bo92bob2o7bobo$9bob2o92bo2bo$8bo2bo93b2o3bo$8b2o3b
o95b2o$12b2o3$87b2o$88b2o$87bo!

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dvgrn
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Re: 23-bit still life syntheses

Post by dvgrn » December 24th, 2025, 11:17 am

Okay, more than half of the 15-still-life stamp collection have been solved. I'm always puzzled by why unsolved-still-life lists are so rarely maintained for maximum convenience... to me that means a stamp collection with objects in the same order as the apgcode list, and actual links in the list instead of just apgcodes.

The last two unsolved 23-bitters:

Code: Select all

x = 0, y = 0, rule = B3/S23
4bo$3bobo$3bo2bo$b2obobo$o2bobo$o2bo$b2o2bo$2bob2o$2bo$b2o$$$$
6b2o$6bo$3b2obo$2bo2bo$bobo$o2b2o$2o2bo$bobo$o2b2o$2o!
xs23_g88m9icz1iu146
xs23_0g8k4871zrm0db

EDIT: removed the one EvinZL solved, xs23_4a9e0drz321321, for which there were 405 symmetric soups. No soups for any of the others (not surprisingly).
EDIT2,3: removed xs23_c4o0e9jz69c321, xs23_0ck0fpzc9701226, and xs23_g08o696zdb06jo solved by Goldtiger997, and EDIT4: xs23_4a95q826z0bdw23 by vilc. EDIT5: The final two tough cases were also solved by vilc, so the project is complete!

Has anyone written the script yet, that grabs the soups from all the links on a Catagolue object page, and sorts them according to how many ticks it takes before the target object first appears in the soup?

hkoenig
Posts: 296
Joined: June 20th, 2009, 11:40 am

Re: 23-bit still life syntheses

Post by hkoenig » December 24th, 2025, 11:27 am

to me that means a stamp collection with objects in the same order as the apgcode list, and actual links in the list instead of just apgcodes.
An exercise for the student would be to create a script that would take a list of objects (by apgcode, or rle, or whatever encoding appropriate) and produce a stamp collection. For bonus points, add options for number of rows/columns, spacing, breaks, and other pretty formatting options.

Even better would be the ability to embed it into this forum the way LifeViewer is added through the "code" tag.

Such a list would be easier to maintain than a stamp collection because it would be possible to do a diff on two such files, and easily added to a version control system.

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EvinZL
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Contact:

Re: 23-bit still life syntheses

Post by EvinZL » December 24th, 2025, 1:34 pm

xs23_4a9e0drz321321 solved, inspired by soup

Code: Select all

x = 35, y = 35, rule = B3/S23
9bo$7bobo$8b2o$19bo$18bo$18b3o11bo$8bo23bobo$6bobo23b2o$7b2o2$27bo$o
26bobo$b2o24b2o$2o$14b2o$15bo12b2o$15bob2o9bobo$14b2ob2o9bo$14bo8b2o$
15bob4o2b2o$16b2o2bo2$4b2o$5b2o$4bo2$26b3o$26bo$11bo15bo$11b2o$10bobo
2$22bo$21b2o$21bobo!
EDIT: 1g reduction

Code: Select all

x = 38, y = 33, rule = B3/S23
8bo$6bobo$7b2o3$o$b2o14b2o9bo$2o15b2o9bobo$28b2o2$16b2o13bo$17bo12b2o$
17bob2o9bobo$16b2ob2o15b2o$16bo8b2o8b2o$17bob4o2b2o10bo$18b2o2bo4$4b2o
$5b2o$4bo2$30b3o$30bo$11bo19bo$11b2o$10bobo2$26bo$25b2o$25bobo!

User avatar
ElijahKen
Posts: 233
Joined: March 9th, 2024, 7:32 pm

Re: 23-bit still life syntheses

Post by ElijahKen » December 24th, 2025, 3:36 pm

EvinZL wrote:
December 24th, 2025, 1:34 pm
xs23_4a9e0drz321321 solved, inspired by soup

Code: Select all

x = 35, y = 35, rule = B3/S23
9bo$7bobo$8b2o$19bo$18bo$18b3o11bo$8bo23bobo$6bobo23b2o$7b2o2$27bo$o
26bobo$b2o24b2o$2o$14b2o$15bo12b2o$15bob2o9bobo$14b2ob2o9bo$14bo8b2o$
15bob4o2b2o$16b2o2bo2$4b2o$5b2o$4bo2$26b3o$26bo$11bo15bo$11b2o$10bobo
2$22bo$21b2o$21bobo!
EDIT: 1g reduction

Code: Select all

x = 38, y = 33, rule = B3/S23
8bo$6bobo$7b2o3$o$b2o14b2o9bo$2o15b2o9bobo$28b2o2$16b2o13bo$17bo12b2o$
17bob2o9bobo$16b2ob2o15b2o$16bo8b2o8b2o$17bob4o2b2o10bo$18b2o2bo4$4b2o
$5b2o$4bo2$30b3o$30bo$11bo19bo$11b2o$10bobo2$26bo$25b2o$25bobo!
Simple 3g reduction by reducing the base still life, xs19_cq1rq23z23:

Code: Select all

x = 15, y = 13, rule = B3/S23
6bo$4bobo$5b2o6b2o$13bo$9bobobo$8bob2ob2o$8bo5bo$9b3obo$11b2o$7bo$2bo
3b2o$obo3bobo$b2o!
Previous steps:

Code: Select all

x = 57, y = 16, rule = B3/S23
46bo$bo8b2o35b2o6b2o$2bo7bo35b2o7bo$3o3bobobo42bobo$5bob2ob2o39b3ob2o
$5bo5bo38bo5bo$6b3obo40b3obo$8b2o43b2o$49bo$3o41bo3b2o$2bo39bobo3bobo
$bo41b2o2$3b3o$3bo$4bo!
Engineering macro-spaceships is hard.

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Goldtiger997
Posts: 805
Joined: June 21st, 2016, 8:00 am

Re: 23-bit still life syntheses

Post by Goldtiger997 » December 25th, 2025, 2:01 am

Solved xs23_c4o0e9jz69c321:

Code: Select all

x = 57, y = 59, rule = B3/S23
4$35bobo$35b2o$36bo7$29bo$27b2o$28b2o$14b2o$13bobo$9b2o2bo$9bobob2o$
11bo2bo$10bobo$9bo2b2o$9bobo$10b2o4$32b3o$32bo$24b2o7bo$24bobo$24bo10$
11b3o$13bo$12bo2$4b2o$5b2o$4bo!

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qqd
Posts: 605
Joined: September 10th, 2022, 4:24 pm
Location: In a superposition of multiple different locations.

Re: 23-bit still life syntheses

Post by qqd » December 25th, 2025, 3:24 am

Potential solutions for the remaining four (I have practically no knowledge regarding components so I do not know if these are possible, but they seem to be doable):

Code: Select all

x = 27, y = 45, rule = LifeHistory
2.2C17.2C$.C2.C.2C12.C2.C.2C$C2.C3.C5.2D4.C2.C3.C$.2C.2CA7.2D4.2C.2C$
4.C5.7D6.C$.2C3.D7.2D4.2C3.C$.C3.2D6.2D5.C3.2C$2.C18.C$.2C17.2C3$5.C18.
C$4.C.C16.C.C$4.C.C16.C.C$2.2C.C7.2D6.2C.C$C2.C10.2D3.C2.C$2C2.C5.7D2.
2C2.C$.C.2C9.2D4.C.2C$DA.C9.2D4.C2.C$2C2.AD13.2C3.C$3.ACD17.2C3$4.D18.
C$3.DAC16.C.C$3.C2.C6.2D7.C2.C$.DC.C.C7.2D4.2C.C.C$DA.C.C4.7D2.C2.C.C
$C2.C10.2D3.C2.C$.2C2.C7.2D5.2C2.C$2.C.2C15.C.2C$2.C18.C$.2C17.2C3$6.
2C17.2C$6.C18.C$3.2C.C15.2C.C$2.C2.C7.2D6.C2.C$.C.C10.2D4.C.C$C2.2C5.
7D2.C2.2C$2C.AD9.2D3.2C2.C$.C.C9.2D5.C.C$C2.2C14.C2.2C$2C17.2C!
The last one, in particular, requires a high clearance component that converts a table motif to a snake motif.
EDIT: Has xs23_g08o696z9f0mr been synthesized? I haven't found any mentions of the still life.
EDIT: Removed xs23_0ck0fpzc9701226 and xs23_g08o696zdb06jo which have been synthesized by Goldtiger997 below.
EDIT: The remaining three have been synthesized by vilc, making the project complete!
Last edited by qqd on December 28th, 2025, 5:19 am, edited 7 times in total.
Currently writing a utility in Lua that may be helpful for faster manual pattern manipulation.

vilc
Posts: 288
Joined: March 20th, 2024, 4:36 pm

Re: 23-bit still life syntheses

Post by vilc » December 25th, 2025, 5:37 am

qqd wrote:
December 25th, 2025, 3:24 am
EDIT: Has xs23_g08o696z9f0mr been synthesized? I haven't found any mentions of the still life.
If it is not in the list, assume that it has been synthesised. From Shinjuku with mvr's additions :

Code: Select all

x = 514, y = 40, rule = B3/S23
6bo$7bo3bo$5b3o3bobo$11b2o2$18bo$17bo$17b3o350bo13bo$2bo368b2o10bo
113bo$3bo245bobo118b2o11b3o112bo$b3o245b2o245b3o13bo$20b3o227bo
260bo$20bo216b2o139bo122bo9b3o$21bo100b2o114bo137bobo123bo$b2o118b
o2bo113bob2o135b2o15bo105b3o$obo119b2o2b2o109b2o2bo145bobo3bo102bo
$2bo121b2obo109bo2bo141bobo2b2o4b3o98bobo$124bo114b2obo140b2o3bo
106b2o$126b4o111bobo139bo18bo$125b2o2bo11bo99bobo7b2o147b2o$141bo
100bo7b2o149b2o89b3o$135b2o4bo110bo241bo$7bo8bo118b2o254bo101bo8b
2o$8b2o5bo374bo110bo2bo$7b2o6b3o121b3o105b2o130b2o9b3o108bobo$139b
o107bobo130bo118b2obo$140bo106bo132bob2o113bo2bo$379b2o2bo113b2o2b
o$8b3o7b3o220bo3bo133bo2bo115bob2o$10bo7bo220bobo3b2o134b2obo113bo
bo$9bo9bo220b2o2bobo136bobo111b2o2bo$383bo2bo5b3o105b2o$384b2o6bo$
393bo4$46b2o$45b2o$47bo!

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Goldtiger997
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Re: 23-bit still life syntheses

Post by Goldtiger997 » December 27th, 2025, 2:45 am

Solved xs23_0ck0fpzc9701226:

Code: Select all

x = 84, y = 38, rule = B3/S23
52bo28bo$53b2o26bobo$52b2o27b2o6$57bo$55bobo$56b2o6bo$65bo2bo$63b3o2bo
bo$68b2o$51bo$44bobo5bo$9bo35b2o3b3o$9bobo33bo$bo7b2o$2b2o$b2o$65b2o$
64bobo$64bo$63b2o3$b2ob2o55b2ob2o$2bobo57bobo$2bo2b3o54bo2b3o$obo4bo
40b3o9bobo4bo$2o48bo9b2o$49bo29b2o$79bobo$79bo$38b3o$40bo$39bo!
Edit: Somewhat convoluted solution for xs23_g08o696zdb06jo:

Code: Select all

x = 581, y = 69, rule = B3/S23
182bobo$183b2o$183bo9$204bobo$204b2o$189bobo13bo$190b2o$190bo$533bo$
150bo53bo329bo31bo$149bo54bobo325b3o31bobo$149b3o8bo43b2o360b2o3bo$
158b2o410bo$159b2o409b3o2$133bo$134bo$132b3o$142bobo64bo$142b2o64bo$
143bo64b3o2$507bo$501bo4bo$208bobo172bobo26bo86b2o5b3o$8b2o13bo44b2o
58b2o58b2o18b2o38b2o58b2o22bo35b2o13b2o25bobo15b2o58b2o10b2o46b2o$8bo
13bo45bo59bo59bo20bo38bo59bo22bo36bo15bo26b2o15bo59bo59bo$10bo11b3o45b
o59bo18bobo38bo59bo59bo20b3o36bo59bo59bo59bo3bo$9b2o58b2o58b2o18b2o38b
2o58b2o2b2o54b2o2b2o54b2o2b2o54b2o2b2o54b2o2b2o7b3o44b2o2bobo$10bob2o
56bob2o56bob2o16bo39bob2o56bobobo55bobobo55bobobo55bobobo55bobobo7bo
47bobobo$9bo2bo56bo2bo56bo2bo56bo2bo56bo2bo56bo2bo56bo2bo56bo2bo56bo2b
o10bo45bo2bo$9b2o2bo55b2o2bo55b2o2bo55b2o2bo55b2o2bo55b2o2bo55b2o2bo
55b2o2bo55b2o2bo55b2o2bo$10bob2o56bob2o56bob2o56bob2o56bob2o56bob2o56b
ob2o11b2o43bob2o56bob2o56bob2o$10bo59bobo57bobo40b2o15bobo57bobo57bobo
12bo44bobo12bobo42bobo56bo2bo56bo2bo$9b2o9b3o46b2o2bo55b2obobo37bobo
14b2obo56b2obo56b2obo12bobo41b2obo12bo43b2obo2bo53b2o3bo54b2o3bo$20bo
51b2o59b2o39bo18b2o58b2o58b2o10b2o46b2o58b3o57b2o58b2o$21bo172bo59bo
59bo59bo8bo147b2o38b3o4b3o$192bo59bo60bo60bobo5b2o48bob2o69b3o24b2o37b
o6bo$31b2o48bo110b2o19b3o36b2o59b2o5bobo52b2o5bobo47b2obo69bo25bo40bo
6bo$30b2o49bobo129bo106b2o184bo$13bo18bo48b2o131bo106bo45bobo$13b2o3bo
58b2o289b2o$12bobo2b2o4b3o51bobo288bo$17bobo3bo53bo244b3o$7b2o15bo233b
2o62bo$6bobo202bo32b2o11b2o64bo42bo4b2o10b2o$8bo56b3o142b2o33b2o6b2o4b
o55bo50b2o3bobo9bobo27b2o$67bo80b3o59bobo31bo7bobo59b2o49bobo3bo11bo
30b2o$66bo81bo105bo49bo9bobo96bo$2o11b3o133bo154b2o$b2o10bo289bobo72b
3o$o13bo103b3o257bo$120bo31b3o96b2o62b2o62bo31b2o$119bo32bo99b2o60b2o
8bo85bobo$146b3o4bo61b3o33bo64bo6b2o87bo5b2o31b3o$146bo39b2o27bo107bob
o91bobo31bo$147bo37bobo28bo202bo32bo$119b3o65bo$121bo290b3o$120bo293bo
$413bo!

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