Thread For Your Unrecognised CA

For discussion of other cellular automata.
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whatislife
Posts: 37
Joined: June 24th, 2023, 5:47 am

Re: Thread For Your Unrecognised CA

Post by whatislife » May 25th, 2024, 10:24 pm

Another rule I clicked on in Catagolue recent hauls and played with for a while, this time first run by mathemagician314: b3-q5q6-aks23-a4a8
7c/14 engines make a p84 glider-synthesis-based rake of the small oblique ship

Code: Select all

x = 258, y = 318, rule = B3-q5q6-ak/S23-a4a8
65$146bo$144b2ob2o$75b3o55bo9bo4bo$74b5o52b2ob2o7bo5b2o$73b3o2bo9b3o
39bo4bo7bo2bo2b2o$73bobob2o8b5o38bo2bo2bo6b2o5bo$75bo4b2o4bo3b2o38bobo
b2o12b3o$75bo9b2o45bo10bo4b2o$71b2obo11bo2b2o40b2o9b2o4bo$71bo14b3obo
37b2o11b2o$71b4o5bo9bo36bo3bo9b2o$73b2o5b3o9bo35bo8bo4b2ob2o$79b2obo
47bo8bo5b2o$78b2o2bo8bo43bo3b2o$78bo3b2o8b2o41bobob2o$78bo2bobo50b2o3b
o$80bo55bobo$81bo$81b3o5bo$86bo52b2o$87bo50bobo$138bo$84bo53b2ob2ob2o$
85bo54bo4bo$85b2o53b2ob2o$84b2o56bo2$77bo3b2o$78b5o51b3o$79b3o$87bo$
87bo$87bo57bo$145b2o$139b2o3bo2bo$134b3obo2bo4bo$139bobobo2bo26bo$74b
2o11b2o50bo5bo25b2ob2o$75bobo3b3ob4o51b2ob2o26bo3bo10bo$75b3o3b5ob2o
53bo4bo22bo2bobo8b2ob2o$81b2o87b2obo9bo4bo$83bo87bobo9bo5b2o$69bo12bo
89bo10bo2bo2b2o$68b2o17b2o58bo25b5o5b2o5bo$68bo17b4o82b5o11b3o$85b2o2b
2o41bo2bo47bo4b2o$70b2o14bo95b2o4bo$70bo5b2o8bobo92b2o$70b3o2bo12bo92b
2o$75bo10bobo2b3o88b2ob2o$75b2o8b4ob4o7b3o81b2o$86b3ob2o8b5o$104bo69b
2o$85b3o13b4o70b2obo$91b3o10bo69bo2bobo$98bo21b3o11bob2o38bo2bo$99bo2b
obo14b5o10bo3bo37bo2bo$99b2ob2o14b3o2bo5b3o2b2o2bo37bobo$118bobob2o5b
3o4bo40bo$120bo4b2o3bo$120bo$94b2o20b2obo$93bobo20bo66b3o$93bo22b4o5bo
$93bo24b2o5b3o$93bobo28b2obo$94b2o27b2o2bo$123bo3bo46b2o2b2o$123bob2o
47bobo3bo$175bo4bo2b3o$175b2ob2o$177bo3$176b2o4b2o$175bo2b2o2b2o$177b
3o5b2o$176b3o5b2o$173b2o3bo4bobo$174bo8b2o$175bo2bo$89b2o88b2o$88bobo$
90bo8$197b3o$196b5o$195b2obo2bo$195b3o3b2o$196b2o4bo$201bo$200b2o$181b
3o10b3o2bo$180b5o9bo$179b2o4bo8bo$184b2o8b2o2bo$110b2o70b2ob2o10b2o$
109bobo64bo4bobo$111bo63b2o4bobo$174b2o3b2o2bobo$174b3o2b2o2b2o2b2o$
174b2o3b3o3bo2b2o$178bobo6bo$178b2o10b2o$178bo9bobo$189bo5$148bo$149b
2o$148b2o31bobo$181b2o$182bo3$131b2o$130bobo$132bo19$152b2o$151bobo$
153bo30$173b3o$171b2o$174bo$173b2o!
#C [[ TRACK 0 -1/2 ]]
Same engine, making a breeder of the most common natural rake

Code: Select all

x = 202, y = 335, rule = B3-q5q6-ak/S23-a4a8
22$144b3o$143b5o$143b2o3bo8b3o$143bo3b3o6b5o$140bobo5b2o5b2obo2bo$140b
o2bo3b2o6bo2bo2b2o$141bo5b2o7b2obo$141bo2bo3b2o9bo$142b2o4bobo8b2o$
150bo8b3obo$150bo11bobo$147b4o$147bo3b2o$151bo3bo$151bo4bo$151b2obob2o
$156bo3$151b2o$151b3o$151bob2o$146b2o2b4o$146b2o2bo$147b5o$148b3o2$
156bo$156bo$156bo3$122b3o20b2o$121b5o19b2o5bo$109b3o8bo3b2o18bo2bo4b3o
bo$108b5o6b3o3bo19bo5bobob2o$107bo2bob2o5b2o5bobo16b2o6b2obo$106b2o2bo
2bo6b2o3bo2bo21b2o$109bob2o7b2o5bo22b3o$109bo9b2o3bo2bo11bo12bo$108b2o
8bobo4b2o11bo12bo$105bob3o8bo18b2o6bo10b2o$104bobo11bo18b2obo2bo11b4o$
118b4o18bo14bo3bo$116b2o3bo18bobo3b2o7b2o$113bo3bo22b2o4bo7b3o$112bo4b
o27bo9bobo3b2o$111b2obob2o25b2o8bo3bo2bo2bo$112bo40bo3bob2obo$154b3o2b
2o$159b2o$116b2o43bo$115b3o30bo2bo7b2o$114b2obo32bo8b2o$115b4o2b2o47bo
$118bo2b2o45b2ob2o$117b5o46bo4bo$118b3o46bo2bo2bo$168b2obobo$112bo58bo
$112bo58b2o$112bo61b2o$172bo3bo$166bo8bo$122b2o40bo8bo$121b3o39b2o3bo$
112bo3b2o3bo2bo38b2obobo$112bo2bo2b3o2bo40bo3b2o$112bo2b2o3bob2o41bobo
$116bo2bo$117b4o$118b2o$110b2o47bo$110b2o46bo2bo$117bo40bo2bo$115b2o
41bo2bo$115bo$115bobo5$118b2obo$118b3o$119b2o2$98bo$96b2ob2o$95bo4bo$
95bo2bo2bo$95bobob2o$97bo$96b2o$93b2o19bo$92bo3bo15b2ob2o$93bo8bo9bo4b
o$95bo8bo7bobo2bo$100bo3b2o3b2obo5bo$100bobob2o3bo7bo$99b2o3bo4bobo4b
2o$101bobo3$117bo$117bo$116b2o$111bo33bo$113bo31bobo$111b3o31b2o28$
109bo$107b2ob2o$96bo10bo3bo$94b2ob2o6b2obobo$93bo5bo5b3obobo$93bo2bob
2o8b3o$92bo4bo8b3ob2o$92bobo12bobo$96bo$94b2o3bo$98b3o11bo$96b5o11bo$
96b4o$97bo$105b2o$102b2o4b2o$102b2obob2o2$105b2o57b3o$104b3o56b5o$105b
o45b3o9bo2b3o$150b5o8b2obobo$150b2o3bo4b2o4bo$155b2o9bo$151b2o2bo11bob
2o$97b3o51bob3o14bo$151bo9bo5b4o$149bo9b3o5b2o$126b2o31bob2o$106b2o17b
o2bo21bo8bo2b2o$102b2o4bo17b2o20b2o8b2o3bo$102bo5bo49bobo2bo$97b3o3b2o
b2o53bo$105bo54bo$152bo5b3o$104bo3b2o45bo$54bo49b3o47bo$52b2ob2o48bob
3o2b2o$52bo3bo10bo39bo5bo43bo$51bo4bobo6b2ob2o37bobo3bo42bo$51b3o2bobo
5bo4bo29b3o3bo6b2o41b2o$50b3o5bo5bo5b2o26b2o5bob2o2bo44b2o$49bobo4bo7b
2ob2ob2o24b2o3b2o2bo2bo2bo$49b2o5bo8b2obo26bo3bo5b2o2b2o48b2o3bo$50bob
o15bo25bo5bo6b2o50b5o$51b2o4b3o7bo2bo23bo5bo59b3o$59b2o9b3o21bo59bo$
57bob2o8b4o21bo2b2o3b2o50bo$56b4o35b3o4b2o50bo$56bobob2o41bobo$59b2o
43b2o$59b2o4b2o37bo58b2o$60b2o3b2o92bo3bo2bo$64b3o87bo2b2ob2o2bob2o$
154bob2o2b3obob2o$83b3o68bo11bo$61b2o19b5o72bo3bobo$59bo3bo17b2obob2o
73bo$63bo17bo78b3o$59bo2b2o17b2obo75b3o$55bo25b2obo$55bo4bo22bo2b2o$
56b2ob2o27bo$58bo24bo3b2o$84b3o$64b3o$138b3o$92b2o43b5o$94bo42bo$55b2o
37bo42b4o$53bo2bo37bo31b2o9bo$53b2o4b3o32bo30bo2bo14bo$53bobo2b2ob2ob
3o23bo35b2o9bobo2bo$53bob3o3b2o28b3o44b2ob2o$54b3obob3o30bo$91bo60bobo
$56b2ob2o31bo59b4o$58bo88bo2bo2b2o$95b3o48b5o$95bo2bo$93bob2obo49bo$
93bobo3bo46bobo$93bobo3bo46b2o$93bob2obo$80bo14bo2bo$78b2ob2o12b3o5b2o
$78bo3bo20b2o$76b2obobo21b2o$76b3obobo$79b3o$77b3ob2o$78bobo$66bo$64bo
2bo$65bobo2bo12bo$65b2o2bo13bo$69b5o$72bo$71b2o$72b2o$73bo$106bo40b3o$
107b2o38bo$106b2o40bo9$126b2o$125bo2bo$126b2o5$70b2o$71b2o$70bo$126b3o
$126bo$127bo16$91b2o$92b2o$91bo11$114bo$114bo5bo5b2o$114bo5bo4bo2bo$
120bo5b2o5$112b2o$113b2o$112bo!
#C [[ TRACK 0 -1/2 ]]
Edit 1: engines made of 10c/20 and 7c/14, that make a glider synthesis of 10c/20 and clean up debris

Code: Select all

x = 122, y = 164, rule = B3-q5q6-ak/S23-a4a8
29$69bo$67b2ob2o$66bo4bo$66bo5b2o$66b2ob2ob2o$67b2obo$70bo$51b2o16bo2b
o$49b2o2b2o17b3o$49bo4bo16b4o$49bob2obo$62b2o$61b2o$61b2o4b2o$62b2o3b
2o$66b3o$74b3o$73b5o$73bo2b3o$73b2obobo$70b2o4bo$60b2o14bo$59bo2bo14bo
b2o$60bobo17bo$61bo9bo5b4o$69b3o5b2o$69bob2o$56b3o10bo2b2o$55bo4bo8bo
3bo$55bo2b2o10b2obo$55b2o$57bo$57b2o6$89bo$87b2ob2o$87bo3bo$87bobo2bo$
74b2o13bob2o$72b2o2b2o11bobo$71bo6bo11bo$71bo6bo6b5o$71bo2b2o2bo7b5o$
71bobo2bobo2$73b4o$81b2o$80b3o$80bo$79bo$78bo$78bob2o$78bobo$79bo6$37b
o$35b2ob2o38b2o$34bo4bo38b3o$34bo2bo2bo38b2o$34bobob2o$36bo$35b2o$32b
2o$31bo3bo$32bo8bo$34bo8bo$39bo3b2o$39bobob2o$38b2o3bo$40bobo26$67bo$
65b2ob2o$65bo3bo$64bo2bobo35b2obo$64b2obo39b4o$65bobo38b2o2bo$66bo37b
2o2bo2bo$67b5o32b2o2bo2bo$66b5o35b2o2bo$107b4o$105b2obo2$74b2o$74b3o$
76b2o$76b2o$74b3o$74b2o!
#C [[ TRACK 0 -1/2 ]]
2: Matching pair of fore- and backrakes plus cleanup ships

Code: Select all

x = 358, y = 161, rule = B3-q5q6-ak/S23-a4a8
$292bo3$292bo$289bo5bo$288b3o3b3o$288bobobobobo$290bo3bo$290b2ob2o$
292bo4$288bo7bo$287bo9bo$286b3o7b3o$287b2o7b2o$288b2o5b2o$289b2obob2o$
290b5o$291b3o6$296bo$294b2o$294bo3bo$294bobobo$159bo134bo3bo$157b2ob2o
$157bo3bo134bo$306b3o$306bo$158bobo146bo$142b2o$143b2o11bo2bo2bo$142bo
179bo$158b3o160bobo$321bobo$317b2o3bo$317bobo$317bo$323bo$321b2ob2o2$
320bo5bo$320bo2bo2bo$320bo5bo$321b2ob2o$323bo4$323bo$322bobo$322bobo$
323bo3$111bo$111b2o$110bobo3$265bo$265bobo$265b2o18$46b3o$45b5o29b2o$
44b2obob2o29b2o$46bobo30bo14$234bo$233bo$233b3o7$48bo$48b2o$47bobo7$
37b2o$38b2o155bo$37bo2$195bo$192bo5bo$191b3o3b3o$191bobobobobo$20bo6bo
165bo3bo$19bobo5b2o164b2ob2o$19bobo4bobo166bo$20bo3$191bo7bo$190bo9bo$
189b3o7b3o$190b2o7b2o$19bo171b2o5b2o$17b2ob2o170b2obob2o$17bo3bo171b5o
4bo$16b2obob2o171b3o5bobo$16b3ob3o179b2o2$16bobobobo$18b3o3$205bo$203b
o3bo$205bobo!
#C [[ TRACK 0 -1/21 ]]
3: Much more compact breeder. Smaller rakes, cheaper synthesis

Code: Select all

x = 148, y = 205, rule = B3-q5q6-ak/S23-a4a8
17$100bo$98b2ob2o$98bo4bo$96b2o5bo$96b2o2bo2bo$96bo5b2o$96b3o$97b2o4bo
13b2o$98bo4b2o10b2o2b2o$104b2o9bo4bo$104b2o9bo4bo$100b2ob2o10bo4bo$
100b2o14b4o3$110bo$93b3o15b2o$92b5o14b2o$91b2obob2o12bo$91bo$91b2obo$
91b2obo$93bo2b2o$98bo$93bo3b2o$94b3o11b2o$107bo2bo$107bobo$102b2o4bo$
104bo$104bo8b3o$104bo$104bo6bo2bo2bo$102b2o12bo$113b4o7$75b3o$74b5o$
74bo$74b4o$74bo$80bo$74bobo2bo$75b2ob2o12b4o$91b6o2$90bo2b2o2bo$83b2o$
83bobo4b3o2b3o$85bo5b2o2b2o$85bo$70bo12bobo$68b2ob2o10b2o$68bo4bo$66b
2o5bo$66b2ob2ob2o$69bob2o$69bo$67bo2bo$65b3o$65b4o2$76b2o$77b2o$71b2o
4b2o$71b2o3b2o$71b3o15$55bo$53b2ob2o$53bo4bo$52bo2bo2bo$53b2obobo$56bo
$56b2o$37b2o20b2o$35b2o2b2o16bo3bo$35bo4bo10bo8bo$34b2ob2ob2o7bo8bo$
35b2o2b2o7b2o3bo$34bobo2bobo6b2obobo$34bo2b2o2bo7bo3b2o$37b2o11bobo2$
60b3o$59b5o$58bo3b2o$57b3o3bo$57b2o5bobo$58b2o3bo2bo$58b2o5bo$57b2o3bo
2bo$56bobo4b2o$56bo$56bo$56b4o$59bo3$50bo$51bo$51bo$50bo11$107bo$105b
2ob2o$104bo4bo$104bo5b2o$78bo13b2o10b2ob2ob2o$78bobo9b2o2b2o9b2obo$78b
2o10bo4bo12bo$89b2ob2ob2o10bo2bo$89b2o4b2o13b3o$109b4o2$100b2o$99b2o$
99b2o4b2o$100b2o3b2o$104b3o4$53bo$54bo7bobo$52b3o7b2o$63bo4$108bo$106b
2ob2o$106bo3bo$106bobo2bo$108bob2o$108bobo$109bo$104b5o$105b5o4$100b2o
$72b3o24b3o$72bo25b2o$73bo24b2o$99b3o$100b2o!
#C [[ TRACK 0 -1/2 ]]
4: c/2 p280 fore- and backrakes with a new engine

Code: Select all

x = 173, y = 124, rule = B3-q5q6-ak/S23-a4a8
30$56bo$54b2ob2o41bo$54bo3bo39b2ob2o$52bobo4bo38bo3bo$52bobo2b3o37bo4b
obo$52bo5b3o36b3o2bobo$54bo4bobo34b3o5bo$54bo5b2o33bobo4bo15b2o10b2o$
58bobo34b2o5bo13b2o2b2o6b2o2b2o$25b2o10b2o12b3o4b2o36bobo17bo4bo6bo4bo
$23b2o2b2o6b2o2b2o9b2o45b2o4b3o15bob4obo$23bo4bo6bo4bo9b2obo51b2o8bo2b
2o3bo2bo3b2o2bo$28bob4obo15b4o48bob2o8b5o3bo2bo3b5o$22bo2b2o3bo2bo3b2o
2bo10bobo47b4o10b2o14b2o$22b5o3bo2bo3b5o60bobo8b2o20b2o$23b2o14b2o72b
2o20b2o$20b2o20b2ob2o66b2o20b2o$20b2o20bo3bo$20b2o24bo63b2o$43bob2o63b
2o11$35b3o$34b5o$34bo65b2o$34b4o62bobo$34bo65bo$40bo$34bobo2bo$35b2ob
2o4$43b2o$43bobo$45bo$45bo$43bobo$43b2o12$56bo$54bobo$55b2o7$65b2o$65b
obo$65bo!
#C [[ TRACK 0 -1/2 ]]
5: Found the first gun reaction, plus a few way to multiply glider stream period, and used it to make a different type of breeder. p1520.

Code: Select all

x = 822, y = 564, rule = B3-q5q6-ak/S23-a4a8
28$416b2o3b2o$415bo7bo215b2o3b2o$383bo5bo25bo7bo213b2ob2ob2ob2o$382bo
7bo27bobo216b2o7b2o23b4ob4o$416b7o217bobobo27b3ob3o$385bobo17b2o9bo2bo
2bo216b2o3b2o9b2o16bobobo$383bo5bo12bobobo8b3o3b3o209b2o4b2obob2o4b2o
3bobobo13b2ob2o$386bo15b2o5b2o3bobo2bo2bobo3b2o203b2o5b5o5b2o6b2o12bo
5bo$289bo94b2ob2o19bo3b4ob5ob4o3bo201bo3b2o3b3o3b2o3bo19bo2bo2bo$287b
2ob2o84bo5bobobobobo5bo11bo3bobobob3obobobo3bo201b2ob4o7b4ob2o7bo4bo6b
o5bo6bo86bo$287bo3bo29b3o51bo3bo13bo3b2o12b2o3b2o3b2o3b2o205bo4b2o5b2o
4bo13b2o2b3ob2ob2ob3o2b2o84b2ob2o$287bobobo28b5o56b2obo3bob2o5b3o3b2o
7b2ob3o3b3ob2o208bob3o5b3obo8bo3bo2b4o3bo2bo2bo3b4o52b3o29bo3bo$302b2o
15b2obob2o52bo2bo4bo4bo2bo6bo2bo6b2o3b2o3b2o3b2o205bo4b2o5b2o4bo6b2ob
2o2b2obo3bo5bo3bob2o51b5o16b2o11bobo$302bobobo14bobo56bobo2bobo2bobo5b
2o3b2o3bo3bobobob3obobobo3bo201b2ob4o7b4ob2o5bo3bo4bo2bo2bo3bo2bo2bo
53bo3bo13bobobo$305b2o71bo2bo4bo4bo2bo13bo3b4ob5ob4o3bo201bo3b2o3b3o3b
2o3bo12b2obo3bo5bo3bob2o69b2o$308b2o71b2obo3bob2o17b2o3bobo2bo2bobo3b
2o203b2o5b5o5b2o8bo4b4o3bo2bo2bo3b4o66bo$280b3o13b3o8b2o66bo3bo13bo3bo
17b3o3b3o209b2o4b2obob2o4b2o5bo7b2o2b3ob2ob2ob3o2b2o66b2o10b2o13b2o$
174b3o3b3o97bo17bo10bo4bo15bo45bo5bobobobobo5bo5bobo11bo2bo2bo216b2o3b
2o12b2o5bo6bo5bo6bo65bobo10bobo11bobo$142bo5bo25bob2ob2obo96bo2bo13bo
2bo4b2o7b2o15b2o52b2ob2o13b2o12b7o217bobobo12b2o13bo2bo2bo52b2o13b2o8b
2o5bo17bo$141bob2ob2obo24bobo3bobo97bo17bo4bo2bo5b2obo13bob2o53bo16bo
14bobo216b2o7b2o24bo5bo51b2o15b2o6bo2bo5bobo11bobo$140b2o2bobo2b2o13b
2o10bobobo99b3o13b3o5b2o6b3o15b3o50bo5bo25bo7bo213b2ob2ob2ob2o25b2ob2o
52b2o15b2o7b2o6b2o13b2o$143bobobo13bobobo10b5o131b2obo13bob2o52bobo27b
o7bo215b2o3b2o27bobobo52b2o15b2o$143bobobo13b2o6b3o5b3o5b3o125b2o15b2o
84b2o3b2o249b3ob3o52b2o13b2o$137bo5bo3bo5bo15bo17bo126bo15bo51bo7bo
280b4ob4o$136b2o5b2ob2o5b2o14b5o9b5o195bo5bo381bobo$48bo86bo9bo9bo4bo
9bo2b2o7b2o2bo100bobobo463bo14bo3bo$46b2ob2o85bob4o7b4obo4b3o10b3o7b3o
102bo3bo14bobo85bo271bobo84b2o15b2ob2o$46bo3bo10b2o17b3o53b2o3bo7bo3b
2o3bo3bo7bo2b2o7b2o2bo100b2ob2o15b2o12bobo42b2o24b2o273b2o25b2o41bo3bo
12b2o16bo$61bobobo13b5o54b2o2bo5bo2b2o6b3o7b5o9b5o101bo17bo11b2obob2o
40bobobo22b2o272bo23bobobo41b5o$48bo15b2o13b2ob2o52b2o3bo7bo3b2o5bo8bo
17bo132b5o44b2o320b2o45b3o$45b2o3b2o84bob4o7b4obo14b3o5b3o5b3o133b3o$
41b2o2bo5bo2b2o12bo66bo9bo9bo6bobo11b5o$41bo13bo11b2obo7b2o3b2o51b2o5b
2ob2o5b2o7b2o12bobobo$40bo3bo7bo3bo6b2o2b2o5b2o2b2o3b2o2b2o48bo5bo3bo
5bo9bo10bobo3bobo$41bo13bo6bo2bo7b3o11b3o53bobobo26bob2ob2obo158b2o
376b2o$41b2o2bo5bo2b2o7b2o8b2o13b2o53bobobo26b3o3b3o133bo21bobobo43bo
332bobobo20bobo$45b2o3b2o21b3o11b3o50b2o2bobo2b2o166b2o19b2o46b2o287b
3o44b2o20b2o$48bo25b2o2b2o3b2o2b2o52bob2ob2obo166b2o70bo285b4o67bo$78b
2o3b2o57bo5bo236bo2b2o283b2o2bo$46bo3bo332bo2b4o283b2o$46b2ob2o13bobo
87bo229bo3b2o283b3ob2o$48bo16b2o12b2ob2o68b2o228bo5bo285b2o2bo$65bo13b
5o41b2o26b2o232b2o290bo45bo$80b3o42bobobo251bobobo289b2ob2o45bo$128b2o
15bo194b2o39bo3bo289b3o2bo40bo5bo8bo$140b3o3bo178bobo12b3o40b2o291bobo
bo4b2o33b4o10b2o$140bo2bob3o178b2o13b2o33bo4bo293bo2bo6b4o31b2o5bo7b2o
$139bob3o2b2o178bo14b2o32b2o3bo3bo293b2obo4b3o31b2o2bobo$140bo2bob3o
177bo11bob3o337bo9bo31b3o$74bo25b2o38b3o3bo178b2o8b2o2bo42bo299bo5bo
33bob2o10b2o$75b2o20bobobo33b2o8bo178bobo7bobo2bo341bo41b2o5bo4b2o$74b
2o21b2o35b2o194b2o2bo2bo387b2o4bo5bo$83bo52bo193bobo3bo388b3o3bo$82bob
o245bo2bo2bo15b2o40b2o270bo41b2o16b5o$81bo2bo246b5o15bo2bo15b2o21b2o
271b2o22b2o15bo2bo16b3o$82b2o8b2o238b3o17b2o13bobobo12bo10bo269bobo22b
obobo13b2o$93b2o272b2o13b2ob2o290bo15b2o$92bo289bo3bo288b2ob2o$315b2o
65bobobo29b3o256bo3bo66bo$145bo170b2o97b5o223b3o30bobo58bo7b2o$144b2o
169bo99bo3bo222b5o98bobo$144bobo190b2o303b2ob2o76b2o$321bo5bo9bobobo
62bo315bobobo12bo31b3o$320bob2ob2obo11b2o33b3o13b3o9b2o252bo11b2o13b2o
34b2o12bo5bo28b3o$83bo235b2o2bobo2b2o45bo17bo9bobo235b2o3b2o7bob2o10bo
bo11bobo47b3o3b3o$83b2o202b3o3b3o26bobobo47bo2bo13bo2bo4b2o8b2o13b2o
211b2o2b2o3b2o2b2o5b2o2b2o5bo17bo46bobobobobo$82bobo202bob2ob2obo26bob
obo48bo17bo4bo2bo6b2o15b2o209b3o11b3o7bo2bo5bobo11bobo49bo3bo26b3o3b3o
$287bobo3bobo10bo9bo5bo3bo5bo42b3o13b3o5b2o7b2o15b2o209b2o13b2o8b2o6b
2o13b2o49b2ob2o27bo2bo2bo$289bobobo12b2o7b2o5b2ob2o5b2o74b2o15b2o209b
3o11b3o76b2o6bo6b2o9b2o11b5o$129b2o23b2o133b5o11bobo6bo9bo9bo74b2o13b
2o211b2o2b2o3b2o2b2o76b2o15b2o7b2o13b3o$126bobobo22b2o127b3o5b3o5b3o
14bob4o7b4obo307b2o3b2o81b4o9b4o10bo5bo15bo$126b2o27bo126bo17bo8bo5b2o
3bo7bo3b2o66b2o258b2o14bobo53bo9bo19b2o13b2o$143bo138b5o9b5o7b3o6b2o2b
o5bo2b2o50bobobo13bobobo252bobobo13bo3bo44bo2bo2bo2bo7bo2bo2bo4b2o8bob
o11bobo$141b2ob2o137bo2b2o7b2o2bo7bo3bo3b2o3bo7bo3b2o48bo3bo16b2o237b
2ob2o10b2o16b2ob2o52bo9bo7b2o2bo3b2o4b2o9b2o4b2o$73b2o66bo3bo139b3o7b
3o10b3o4bob4o7b4obo48b2ob2o28bo3bo222b5o30bo51b4o9b4o6b2o4b2o3b3o9b3o
3b2o$74b2o7bo91b3o105bo2b2o7b2o2bo9bo4bo9bo9bo49bo30b5o223b3o82b2o15b
2o11b2o4b2o9b2o4b2o$73bo7b2ob2o10b2o45bo30b5o103b5o9b5o14b2o5b2ob2o5b
2o82b3o310b2o6bo6b2o16bobo11bobo$96bobobo39b2o3b2o135bo17bo15bo5bo3bo
5bo402b2ob2o22b2o13b2o$49b3o28bo5bo12b2o35b2o2bo5bo2b2o13b2o10bo105b3o
5b3o5b3o6b2o13bobobo408bo3bo13b2o7bo15bo$48b5o27bo2bo2bo49bo13bo12b3o
8b5o110b5o10bobobo13bobobo406bobobobobo11bobobo11b3o$47bobobobo26bo5bo
48bo3bo7bo3bo6b2o2b2obo4bo2b3ob3o2bo106bobobo10b2o13b2o2bobo2b2o403b3o
3b3o14b2o10b5o$47b3ob3o27b2ob2o50bo13bo6bo2bo8b2o2b3ob3o2b2o103bobo3bo
bo24bob2ob2obo405bo5bo26bo2bo2bo$48b2ob2o30bo52b2o2bo5bo2b2o7b2o9b2ob
2o5b2ob2o103bob2ob2obo25bo5bo409bo28b3o3b3o$49b3o12bo75b2o3b2o22b2o2b
3ob3o2b2o103b3o3b3o$64b2o8b3o13b3o50bo26bo2b3ob3o2bo$63bobo6bo4bo11bo
4bo79b5o558bo31b3o$41b2o15b2o12bo4bo11bo4bo46bo3bo13b2o15bo592b3o$40bo
b2o13b2obo6b2o2bo3bo2bo9bo2bo3bo45b2ob2o13bobobo$39b6o11b6o4bo2bo2bo4b
o11bo4bo48bo18b2o10b5o$39b2o3bo11bo3b2o5b2o3bo4bo11bo4bo80b3o$39b6o11b
6o12b3o13b3o$40bob2o13b2obo$41b2o15b2o23bo$66b2o13b2ob2o$63bobobo12bo
5bo$49b3o11b2o15bo2bo2bo$48b2ob2o27bo5bo$47b3ob3o$47bobobobo27b2ob2o$
48b5o30bo$49b3o33$288b2o3b2o$286b2ob2ob2ob2o469b3o3b3o$286b2o7b2o23b4o
b4o405bo5bo25bob2ob2obo$289bobobo27b3ob3o405bob2ob2obo24bobo3bobo$178b
o109b2o3b2o9b2o16bobobo405b2o2bobo2b2o13b2o10bobobo$176bobo103b2o4b2ob
ob2o4b2o3bobobo13b2ob2o408bobobo13bobobo10b5o$177b2o103b2o5b5o5b2o6b2o
12bo5bo407bobobo13b2o6b3o5b3o5b3o$281bo3b2o3b3o3b2o3bo19bo2bo2bo88b3o
310bo5bo3bo5bo15bo17bo$281b2ob4o7b4ob2o7bo4bo6bo5bo6bo49bo30b5o223b3o
82b2o5b2ob2o5b2o14b5o9b5o$282bo4b2o5b2o4bo13b2o2b3ob2ob2ob3o2b2o47b2ob
2o27b2obob2o221b5o30bo49bo9bo9bo4bo9bo2b2o7b2o2bo$284bob3o5b3obo8bo3bo
2b4o3bo2bo2bo3b4o46bo5bo28bobo223bo3bo28b2ob2o48bob4o7b4obo4b3o10b3o7b
3o$282bo4b2o5b2o4bo6b2ob2o2b2obo3bo5bo3bob2o46bobobobo15b2o252b2o16bo
3bo48b2o3bo7bo3b2o3bo3bo7bo2b2o7b2o2bo$281b2ob4o7b4ob2o5bo3bo4bo2bo2bo
3bo2bo2bo49b5o13bobobo252bobobo13bobobo50b2o2bo5bo2b2o6b3o7b5o9b5o$49b
3o229bo3b2o3b3o3b2o3bo12b2obo3bo5bo3bob2o65b2o258b2o66b2o3bo7bo3b2o5bo
8bo17bo$49b3o31bo198b2o5b5o5b2o8bo4b4o3bo2bo2bo3b4o74bo15bo302bob4o7b
4obo14b3o5b3o5b3o$282b2o4b2obob2o4b2o5bo7b2o2b3ob2ob2ob3o2b2o73b2o15b
2o209b2o13b2o74bo9bo9bo6bobo11b5o$288b2o3b2o12b2o5bo6bo5bo6bo40b2o15b
2o13b2obo13bob2o207b2o15b2o74b2o5b2ob2o5b2o7b2o12bobobo$46b3o3b3o28bo
205bobobo12b2o13bo2bo2bo46bo2bo13bo2bo4b2o6b3o15b3o207b2o15b2o7b2o5b3o
13b3o42bo5bo3bo5bo9bo10bobo3bobo$47bo2bo2bo26bo5bo199b2o7b2o24bo5bo46b
ob2o13b2obo3bo2bo5b2obo13bob2o20bo164bo21b2o15b2o6bo2bo4bo17bo48bobobo
26bob2ob2obo$48b5o10b2o14b3o3b3o198b2ob2ob2ob2o25b2ob2o46bo3bo13bo3bo
3b2o7b2o15b2o22bo163bobo20b2o13b2o8b2o4bo2bo13bo2bo47bobobo26b3o3b3o$
49b3o11bobobo11bobobobobo200b2o3b2o27bobobo47bob2o13b2obo9bo4bo15bo21b
3o163b2o41bobo9bo17bo45b2o2bobo2b2o$42bo15bo7b2o13bo3bo235b3ob3o12b2o
32bo2bo13bo2bo7b2o253b2o9b3o13b3o33b2o11bob2ob2obo$42b2o13b2o22b2ob2o
234b4ob4o8bobobo33b2o15b2o9b2o252bo62bobobo9bo5bo$42bobo11bobo16b2o6bo
6b2o245b2o384b2o$38b2o4b2o9b2o4b2o11b2o15b2o82b3o238bobo223bo3bo99bo$
38b2o3b3o9b3o3b2o4b2o6b4o9b4o51bo30b5o136bobo96b2obob2o221b5o97b2o$38b
2o4b2o9b2o4b2o3bo2b2o7bo9bo52b2ob2o16b2o10b2ob2o137b2o64b5o28b5o223b3o
29bobobo65b2o$42bobo11bobo8b2o4bo2bo2bo7bo2bo2bo2bo44bo3bo13bobobo152b
o64bobobobo28b3o256bo3bo$42b2o13b2o19bo9bo53bobo14b2o171b3o32b2o12bo5b
o287b2ob2o13b2o$42bo15bo5bo10b4o9b4o81b2o3b2o151b5o16b2o13bobobo10b2ob
2o279bo10bo12bobobo13b2o17b3o$49b3o13b2o7b2o15b2o76b2o2b2o3b2o2b2o146b
3ob3o14bo2bo15b2o12bo8bobo271b2o21b2o15bo2bo15b5o$48b5o11b2o9b2o6bo6b
2o76b3o11b3o144b2o4b3o14b2o39b2o271b2o40b2o15bo2bo2bo$47bo2bo2bo27b2ob
2o49b2o13b2o6b2o8b2o13b2o144bo2bo2bobo56bo330bo3bobo$46b3o3b3o26bo3bo
49bobo11bobo5bo2bo7b3o11b3o144b4o5bo385bo2bo2b2o$79bobobobobo46bo17bo
5b2o2b2o5b2o2b2o3b2o2b2o141bo8bo387bo2bobo7bobo$79b3o3b3o47bobo11bobo
10b2obo7b2o3b2o146bo7bo3b3o338bo42bo2b2o8b2o$49b3o28bo5bo12b2o34b2o13b
2o11bo160bo2bo7b2ob5o377b3obo11bo$49b3o31bo12bobobo223b2obo13b3o333bo
3bo3b2o32b2o14bo$96b2o76b2ob2o146bob2o12b3o39b2o295bo4bo33b2o13b2o$73b
obo98b5o147bo15b2o38bo2bo291b2o40b3o12bobo$74b2o7bo58bobo30b3o163b2o
39bo2bo290bo3bo39b2o$74bo66bo3bo236bobo291bobobo$141b2ob2o237bo289b2o$
126b2o15bo529bo5bo$126bobobo22bobo228b2o286b2o3bo$129b2o22b2o229b3o2b
2o281b4o2bo$154bo162bo68bob3o281b2o2bo$317b2o67bob2o283bo70b2o$83bo
232bobo19b2o334b2o46b2o19b2o$84b2o252bobobo332bo43bobobo21bo$83b2o256b
2o376b2o3$145bo175b3o$143b2o175b5o413b3o$144b2o143bo29bobobobo43b2o22b
o297b2o44b5o$287b2ob2o15b2o10b3ob3o40bobobo21b2o273b2o22bobobo40b2obob
2o11bo17bo$286bo5bo15b2o10b2ob2o41b2o24bobo273b2o24b2o42bobo12b2o15b2o
b2o$92bobo191bobobobo14bo13b3o343bo85bobo14bo3bo$82b2o9b2o192b5o478bob
obo$81bo2bo8bo578bo5bo$82bobo228b2o15b2o339bo7bo51bo15bo$75bo7bo228bob
2o13b2obo306b2o3b2o84b2o15b2o$75b2o20b2o35bobo143b2o15b2o12b6o11b6o
304bo7bo27bobo52b2obo13bob2o$74bobo20bobobo32b2o4b3o136bo2bo13bo2bo4b
2o5b2o3bo11bo3b2o51b3o250bo7bo25bo5bo50b3o15b3o6b2o5b3o13b3o$100b2o33b
o4b3ob3o132bob2o13b2obo3bo2bo4b6o11b6o50b5o13b2o237bobo14bo16bo53b2obo
13bob2o5bo2bo4bo17bo$139bo5b4o129bo3bo13bo3bo3b2o6bob2o13b2obo68b2o16b
o219b7o12b2o13b2ob2o52b2o15b2o7b2o4bo2bo13bo2bo$138b2o7b2o130bob2o13b
2obo13b2o15b2o54bo16bo14b3o218bo2bo2bo11bobo5bo5bobobobobo5bo45bo15bo
4bo10bo17bo$139bo5b4o130bo2bo13bo2bo7bobo74b5o27b2o3b2o215b3o3b3o17bo
3bo13bo3bo66b2o8b3o13b3o$140b3ob3o133b2o15b2o8b2o71bo2b3ob3o2bo23b2obo
b2o209b2o3bobo2bo2bobo3b2o17b2obo3bob2o71b2o$80b3o45b2o10b3o162b2o14b
3o55b2o2b3ob3o2b2o20b2o2bobo2b2o206bo3b4ob5ob4o3bo13bo2bo4bo4bo2bo71b
2o$79b5o41bobobo23bo148bobobo13b2ob2o54b2ob2o5b2ob2o9b2o9b2o7b2o206bo
3bobobob3obobobo3bo3b2o3b2o5bobo2bobo2bobo56bobo14bobobo$48bo16b2o12bo
3bo41b2o25b2o148b2o15b3ob3o53b2o2b3ob3o2b2o8bo2bo7bo2bob3obo2bo208b2o
3b2o3b2o3b2o6bo2bo6bo2bo4bo4bo2bo52b2obob2o15b2o$46b2ob2o15b2o84bobo
132b5o27bobobobo54bo2b3ob3o2bo4bob2o2b2o7b2obo2bobo2bob2o208b2ob3o3b3o
b2o7b2o3b3o5b2obo3bob2o56b5o28bobobo$46bo3bo14bo220bobobobo27b5o59b5o
8b3o13bo2bob3obo2bo208b2o3b2o3b2o3b2o12b2o3bo13bo3bo51b3o29bo3bo$47bob
o236bo5bo28b3o62bo10b2o15b2o7b2o206bo3bobobob3obobobo3bo11bo5bobobobob
o5bo84b2ob2o$141b4ob4o137b2ob2o122b2o2bobo2b2o206bo3b4ob5ob4o3bo19b2ob
2o94bo$73b2o13b2o52b3ob3o140bo94b5o13b2o12b2obob2o209b2o3bobo2bo2bobo
3b2o5b2o15bo$72b2o15b2o52bobobo27b2o3b2o203b3o14bobobo9b2o3b2o215b3o3b
3o8bobobo12bo5bo$40b2o13b2o6b2o7b2o15b2o52b2ob2o25b2ob2ob2ob2o221b2o
11b3o218bo2bo2bo9b2o17bobo$40bobo11bobo5bo2bo6b2o15b2o51bo5bo24b2o7b2o
235bo219b7o$39bo17bo5b2o8b2o13b2o52bo2bo2bo13b2o12bobobo460bobo27bo7bo
$40bobo11bobo10bobo65bo6bo5bo6bo5b2o12b2o3b2o456bo7bo25bo5bo$40b2o13b
2o10b2o66b2o2b3ob2ob2ob3o2b2o7bo5b2o4b2obob2o4b2o450bo7bo$68bo66b4o3bo
2bo2bo3b4o4bo8b2o5b5o5b2o451b2o3b2o$64b2o69b2obo3bo5bo3bob2o12bo3b2o3b
3o3b2o3bo$61bobobo13bo3bo53bo2bo2bo3bo2bo2bo4bo3bo5b2ob4o7b4ob2o$47bob
o11b2o16b5o51b2obo3bo5bo3bob2o2b2ob2o6bo4b2o5b2o4bo$46bo3bo29b3o52b4o
3bo2bo2bo3b4o2bo3bo8bob3o5b3obo$46b2ob2o84b2o2b3ob2ob2ob3o2b2o13bo4b2o
5b2o4bo133bo$48bo86bo6bo5bo6bo4bo7b2ob4o7b4ob2o$142bo2bo2bo19bo3b2o3b
3o3b2o3bo131bobo$142bo5bo12b2o6b2o5b5o5b2o131bo$143b2ob2o13bobobo3b2o
4b2obob2o4b2o132b2o2b2o286bo$143bobobo16b2o9b2o3b2o142b2o285b2o$142b3o
b3o27bobobo143b2o284bo2bo8bo124bo$141b4ob4o23b2o7b2o136b2o7b2o74bo203b
o12b2o66b2o54bobo7b3o$173b2ob2ob2ob2o135bo9b2o73b2o69bo64bo4b2o61b2o
14bo51bo13b3o62bo2bo8b2o$175b2o3b2o138bo6bo2b3o70bobo65b4o64b2obo3bo2b
3o55b2o9b4obo51bo2bo7b2obo3bo60bo4bo6b2obo$324bo2bo3b3o68b2o4b2o60b2o
3bo62b2o2bobo6bo54b2o10bo3b2o50b2o10bo3bo2b2o58b2o4bo5b6o$322bob2obo2b
ob2o68b3o3b2o60b4ob2o61b2o9bo2bo5b2o46b3o8bo2b2o8b2o42b2o9bo5b4o7b2o
61bo3b2o3b2o$324bo2bo3b3o68b2o4b2o60b2o3bo62b2o2bobo6bo5bo2bo45b2o10bo
3b2o5bo2bo41b2o10bo3bo2b2o6bo2bo48b2o4bo5b6o2bo2bo$320bo6bo2b3o70bobo
65b4o64b2obo3bo2b3o6b2o47b2o9b4obo6b2o43bo2bo7b2obo3bo8b2o50bo4bo6b2ob
o4b2o$319bo9b2o73b2o69bo64bo4b2o8bo52b2o14bo51bo13b3o62bo2bo8b2o$320b
2o7b2o74bo150bo52bo12b2o66b2o54bobo7b3o$324b2o228b3o53bo2bo8bo6bo117bo
$184b3o137b2o285b2o17bo$152bo30b5o132b2o2b2o286bo15b3o72bo$150b2ob2o
28bo3bo131bo384bo$150bo3bo16b2o147bobo379b3o72bo$150bobobo13bobobo605b
o$168b2o151bo454b3o2$51b3o3b3o117b2o13b2o$51bob2ob2obo25bo5bo84b2o15b
2o369bo$51bobo3bobo24bob2ob2obo50b3o13b3o5b2o7b2o15b2o184b3o180bobo$
53bobobo10b2o13b2o2bobo2b2o49bo17bo4bo2bo6b2o15b2o184b3o31bo149b2o73bo
$53b5o10bobobo13bobobo51bo2bo13bo2bo4b2o8b2o13b2o442bobo$46b3o5b3o5b3o
6b2o13bobobo52bo17bo9bobo463b2o73bo$46bo17bo15bo5bo3bo5bo46b3o13b3o9b
2o203b3o3b3o28bo296bobo$46b5o9b5o14b2o5b2ob2o5b2o74bo204bo2bo2bo26bo5b
o294b2o73bo$47bo2b2o7b2o2bo9bo4bo9bo9bo279b5o10b2o14b3o3b3o366bobo$49b
3o7b3o10b3o4bob4o7b4obo85bo3bo191b3o11bobobo11bobobobobo367b2o$47bo2b
2o7b2o2bo7bo3bo3b2o3bo7bo3b2o85b5o184bo15bo7b2o13bo3bo$46b5o9b5o7b3o6b
2o2bo5bo2b2o54bobobo29b3o185b2o13b2o22b2ob2o156bo$46bo17bo8bo5b2o3bo7b
o3b2o52bo3bo217bobo11bobo16b2o6bo6b2o151bo$46b3o5b3o5b3o14bob4o7b4obo
52b2ob2o213b2o4b2o9b2o4b2o11b2o15b2o148b3o72bo$53b5o11bobo6bo9bo9bo53b
o10bo204b2o3b3o9b3o3b2o2b2o8b4o9b4o88bo136bo$53bobobo12b2o7b2o5b2ob2o
5b2o63b2o205b2o4b2o9b2o4b2obo2bo10bo9bo77b2o11b3o133b3o72bo$51bobo3bob
o10bo9bo5bo3bo5bo65b2o208bobo11bobo6b2o3bo2bo2bo2bo7bo2bo2bo2bo49b3o
14bobobo9b2o3b2o207bo$51bob2ob2obo26bobobo281b2o13b2o19bo9bo56b5o13b2o
12b2obob2o205b3o72bo$51b3o3b3o26bobobo41b2o238bo15bo16b4o9b4o83b2o2bob
o2b2o279bo$83b2o2bobo2b2o38bobobo242b3o22b2o15b2o54bo27b2o7b2o277b3o$
84bob2ob2obo42b2o241b5o22b2o6bo6b2o53b5o24bo2bob3obo2bo$85bo5bo285bo2b
o2bo27b2ob2o55bo2b3ob3o2bo8b2o9b2obo2bobo2bob2o$376b3o3b3o26bo3bo54b2o
2b3ob3o2b2o6bo2bobo2bo4bo2bob3obo2bo64bo$79bo320bo8bobobobobo52b2ob2o
5b2ob2o7b2o3bo7b2o7b2o63bobo$80b2o70bobo243bobo8b3o3b3o52b2o2b3ob3o2b
2o12b2obo4b2o2bobo2b2o64b2o73bo$79b2o26b2o43b2o225b3o17b2o9bo5bo54bo2b
3ob3o2bo15bo7b2obob2o139bobo$104bobobo26bo17bo225b3o31bo61b5o27b2o3b2o
140b2o73bo$88bo15b2o29bobo339bo31b3o215bobo$87bo3b3o41b2o7b2o364bo217b
2o73bo$86b3obo2bo49b2o268bo61b5o321bobo$86b2o2b3obo50bo286b2o42b3o323b
2o$86b3obo2bo335bobobo$87bo3b3o315bo19b2o57bo100bo$88bo8b2o311bo77bobo
99bo$98b2o308b3o77b2o98b3o72bo$97bo566bo$662b3o72bo$154bo302b2o279bo$
153b2o302bobobo274b3o72bo$153bobo277b2o25b2o350bo$417b2o13bo2bo374b3o$
417b3o12b2obo43bo$88bo326b2o2bo16bo41bo$88b2o326bob2o15bo42b3o117bo$
87bobo328bo8bo5b3o160bobo$136b2o45bo231b3o3b2o4b2o168b2o73bo$133bobobo
282b4o3bo242bobo$133b2o11b3o3b3o8b2o254b2o2bo3b2o41bo200b2o73bo$146bob
2ob2obo7b2o19bo235bob2obo2bobo40b2o272bobo$146bobo3bobo9bo15bo5bo232bo
2bo46bo2bo272b2o73bo$148bobobo26b3o3b3o231bo6bobo41b2o4bo341bobo$148b
5o26bobobobobo232b2o6bo41bo2b5o341b2o$78b2o23b2o36b3o5b3o5b3o21bo3bo
241bo43b4o3bo$79b2o22bobobo33bo17bo21b2ob2o221b3o12b2ob2o26bo16b2ob5o
128bo$78bo27b2o33b5o9b5o15b2o6bo6b2o217bo14bo19bobo4b2o18bobo133bo$90b
o51bo2b2o7b2o2bo15b2o15b2o215bo36b2o5b2o18b3o130b3o72bo$88b2ob2o51b3o
7b3o10b2o6b4o9b4o253bo27b2o206bo$88bo3bo49bo2b2o7b2o2bo7bo2b2o7bo9bo
239b2o249b3o72bo$56b3o82b5o9b5o7b2o4bo2bo2bo7bo2bo2bo2bo231bobobo46b3o
273bo$55b5o30bo50bo17bo18bo9bo190bo5bo45b2o46bo273b3o$87b2o3b2o47b3o5b
3o5b3o15b4o9b4o186bo7bo93bo$57bo10b2o13b2o2bo5bo2b2o50b5o21b2o15b2o
222bo$55b5o8b3o12bo13bo50bobobo13b2o7b2o6bo6b2o189bobo14b2o14b3o$51bo
2b3ob3o2bo4bob2o2b2o6bo3bo7bo3bo47bobo3bobo11bobobo10b2ob2o193bo5bo11b
obo12b2o3b2o$50b2o2b3ob3o2b2o8bo2bo6bo13bo48bob2ob2obo14b2o10bo3bo196b
o16bo12b2obob2o42b2o12bo139bo$50b2ob2o5b2ob2o9b2o7b2o2bo5bo2b2o48b3o3b
3o24bobobobobo192b2ob2o25b2o2bobo2b2o37bobobo10b2ob2o135bobo$50b2o2b3o
b3o2b2o22b2o3b2o85b3o3b3o184bo5bobobobobo5bo17b2o7b2o37b2o12bo5bo135b
2o73bo$51bo2b3ob3o2bo26bo89bo5bo184bo3bo13bo3bo15bo2bob3obo2bo50bobobo
bo10b2o16b3o177bobo$55b5o123bo193b2obo3bob2o9b2o9b2obo2bobo2bob2o50b5o
11bobo14b5o177b2o73bo$57bo15b2o13bo3bo281bo2bo4bo4bo2bo5bo2bobo2bo4bo
2bob3obo2bo67bo15b2obob2o249bobo$70bobobo13b2ob2o283bobo2bobo2bobo8b2o
3bo7b2o7b2o86bobo252b2o$55b5o10b2o18bo92bo190bo2bo4bo4bo2bo11b2obo4b2o
2bobo2b2o$56b3o318b2obo3bob2o16bo7b2obob2o47b2o15b2o$358bo12bo3bo13bo
3bo18b2o3b2o46bo2bo13bo2bo$357b2o13bo5bobobobobo5bo5b2o14b3o48bob2o13b
2obo14bo15bo106bo$357bobo20b2ob2o10bobobo15bo48bo3bo13bo3bo5b2o5b2o15b
2o106bo$382bo12b2o68bob2o13b2obo5bo2bo3b2obo13bob2o103b3o72bo$191b2o
186bo5bo79bo2bo13bo2bo6b2o4b3o15b3o179bo$190bobo188bobo82b2o15b2o4bo8b
2obo13bob2o177b3o72bo$192bo297bo8b2o15b2o254bo$378bo7bo101b2o10bo15bo
253b3o$379bo5bo105b2o$473b5o13bobobo$472bobobobo15b2o$472bo5bo28bobo$
473b2ob2o27b2obob2o120bo$475bo30b5o119bobo$507b3o121b2o73bo$704bobo$
705b2o73bo$778bobo$779b2o4$640bo$641bo$639b3o72bo$715bo$713b3o72bo$
789bo$787b3o5$649bo$647bobo$648b2o73bo$721bobo$722b2o73bo$795bobo$796b
2o4$657bo$658bo$656b3o72bo$732bo$730b3o72bo$806bo$804b3o$54bo5bo$53bo
7bo2$56bobo$54bo5bo605bo$57bo12b2o592bobo$55b2ob2o10bobobo15bo92bo481b
2o73bo$47bo5bobobobobo5bo5b2o14b3o89b2ob2o552bobo$46bo3bo13bo3bo18b2o
3b2o55b3o587b2o73bo$52b2obo3bob2o24b2obob2o55b3o28bo5bo625bobo$49bo2bo
4bo4bo2bo19b2o2bobo2b2o84bo2bo2bo626b2o$51bobo2bobo2bobo5b2o3b2o9b2o7b
2o84bo5bo$49bo2bo4bo4bo2bo6bo2bo8bo2bob3obo2bo49b3o3b3o14b2o10b2ob2o$
52b2obo3bob2o5b3o3b2o7b2obo2bobo2bob2o49bo2bo2bo12bobobo12bo$46bo3bo
13bo3b2o14bo2bob3obo2bo51b5o13b2o339b3o164bo$47bo5bobobobobo5bo17b2o7b
2o53b3o12b2o8b3o13b3o282bo30b5o164bo$55b2ob2o25b2o2bobo2b2o46bo15bo5b
2o6bo4bo11bo4bo278b2ob2o28bo3bo162b3o72bo$57bo29b2obob2o48b2o13b2o13bo
4bo11bo4bo278bo3bo16b2o253bo$54bo5bo26b2o3b2o48bobo11bobo8b2o2bo3bo2bo
9bo2bo3bo277bobobo13bobobo251b3o$56bobo30b3o46b2o4b2o9b2o4b2o3bo2bo2bo
4bo11bo4bo296b2o$90bo47b2o3b3o9b3o3b2o4b2o3bo4bo11bo4bo183b4ob4o101b2o
331bo$53bo7bo76b2o4b2o9b2o4b2o11b3o13b3o186b3ob3o26b2o3b2o68bobo10b2o
13b2o$54bo5bo16bobo26b2o34bobo11bobo221bobobo26bo7bo69bo9b2o15b2o$78b
2o23bobobo34b2o13b2o24bo196b2ob2o26bo7bo46b3o13b3o7b2o5b2o15b2o$78bo
24b2o37bo15bo22b2ob2o193bo5bo9b2o17bobo49bo17bo6bo2bo4b2o15b2o$149b3o
28bo5bo192bo2bo2bo9bobobo12b7o46bo2bo13bo2bo6b2o6b2o13b2o$148b5o27bo2b
o2bo185bo6bo5bo6bo5b2o12bo2bo2bo47bo17bo$147bo2bo2bo9bobo14bo5bo185b2o
2b3ob2ob2ob3o2b2o18b3o3b3o46b3o13b3o272bo$146b3o3b3o8b2o207b4o3bo2bo2b
o3b4o12b2o3bobo2bo2bobo3b2o329bobo$133b2o29bo16b2ob2o186b2obo3bo5bo3bo
b2o11bo3b4ob5ob4o3bo329b2o$133bobobo45bo190bo2bo2bo3bo2bo2bo7b2ob2obo
3bobobob3obobobo3bo63bo15bo3bo$87bo48b2o11b3o220b2obo3bo5bo3bob2o4b3ob
3o3b2o3b2o3b2o3b2o65bo16b5o$88b2o59b3o220b4o3bo2bo2bo3b4o5b2ob2o5b2ob
3o3b3ob2o50bobobo11b3o15b3o$87b2o283b2o2b3ob2ob2ob3o2b2o14b2o3b2o3b2o
3b2o49bo3bo$372bo6bo5bo6bo11bo3bobobob3obobobo3bo31b2o13b2ob2o$379bo2b
o2bo12bo5bo3b4ob5ob4o3bo31bobobo12bo$155bo223bo5bo13bo5b2o3bobo2bo2bob
o3b2o35b2o$153b2o225b2ob2o12b3o11b3o3b3o345bo$154b2o224bobobo27bo2bo2b
o347bo$379b3ob3o26b7o345b3o$378b4ob4o27bobo63bo$96bobo312bo7bo11b2o47b
obo$97b2o312bo7bo8bobobo47b2o$89bo7bo314b2o3b2o9b2o$88b2o$87b2ob4o314b
o35b2o7bo19b2o$87b3o2bo2bo48bobo259bobo36b2o5b2o18b4o$87b2ob4o50b2o
261b2o15bo19bo7bobo16b2obobo$88b2o55bo276b2ob2o45b2o2b2o296bo$89bo14b
2o29b3o283bo5bo47b2o295bobo$104bobobo26bo284bo2bo4bo42bo301b2o$79bo27b
2o28bo15b2o265bo2b2o3bo39bob2o$79b2o7bo63b2o265bo3bo2bob2o39b2o$78bobo
73bo265b4o$421b2o6bo$54b3o31bo327b2o7bo2bo2bo$54b3o28bo5bo43b2o278bo2b
o7bobo4b2o$84b3o3b3o39bobobo278b2obo11bo3bo44b2o$84bobobobobo39b2o281b
2ob2o12bo2bo43bobo300bo$51b3o3b3o26bo3bo326b2o15bo44bo303bo$52bo2bo2bo
27b2ob2o72bo268b3o346b3o$53b5o11b2o9b2o6bo6b2o65b2o296b2o$54b3o13b2o7b
2o15b2o64bobo292bobobo$47bo15bo5bo10b4o9b4o55bo304b2o$47b2o13b2o19bo9b
o56b2ob2o$47bobo11bobo8b2o4bo2bo2bo7bo2bo2bo2bo48bo3bo$43b2o4b2o9b2o4b
2o3bo2b2o7bo9bo57bobo30b3o221b2o64bo5bo$43b2o3b3o9b3o3b2o4b2o6b4o9b4o
86b5o219bobo63bo7bo6b3o$43b2o4b2o9b2o4b2o11b2o15b2o85b2ob2o221bo19b2o
57bo18b2o3b2o$47bobo11bobo16b2o6bo6b2o332bobobo42bobo10bo16bo7bo276bo$
47b2o13b2o22b2ob2o53b2o13b2o11bo259b2o40bo5bo25bo7bo274bobo$47bo15bo7b
2o13bo3bo53bobo11bobo10b2obo7b2o3b2o288bo31bobo278b2o$54b3o11bobobo11b
obobobobo50bo17bo5b2o2b2o5b2o2b2o3b2o2b2o220bo61b2ob2o27b7o$53b5o10b2o
14b3o3b3o51bobo11bobo5bo2bo7b3o11b3o217b2ob2o51bo5bobobobobo5bo19bo2bo
2bo$52bo2bo2bo26bo5bo52b2o13b2o6b2o8b2o13b2o272bo3bo13bo3bo17b3o3b3o$
51b3o3b3o28bo88b3o11b3o185b3o28bo5bo55b2obo3bob2o17b2o3bobo2bo2bobo3b
2o$178b2o2b2o3b2o2b2o185b5o15b3o9bo2bo2bo52bo2bo4bo4bo2bo13bo3b4ob5ob
4o3bo$182b2o3b2o188bobobobo16bo9bo5bo54bobo2bobo2bobo9b2ob2obo3bobobob
3obobobo3bo$54b3o31bo62bobo14b2o207b3ob3o15bo11b2ob2o53bo2bo4bo4bo2bo
6b3ob3o3b2o3b2o3b2o3b2o$54b3o93bo3bo13bobobo205b2ob2o30bo58b2obo3bob2o
10b2ob2o5b2ob3o3b3ob2o281bo$150b2ob2o16b2o10b2ob2o191b3o84bo3bo13bo3bo
13b2o3b2o3b2o3b2o281bo$152bo30b5o216b3o13b3o44bo5bobobobobo5bo11bo3bob
obob3obobobo3bo276b3o$184b3o215bo4bo11bo4bo50b2ob2o19bo3b4ob5ob4o3bo$
371b2o15b2o12bo4bo11bo4bo52bo15b2o5b2o3bobo2bo2bobo3b2o$370bob2o13b2ob
o4b2o4bo3bo2bo9bo2bo3bo48bo5bo12bobobo8b3o3b3o$369b6o11b6o2bo2bo4bo4bo
11bo4bo51bobo17b2o9bo2bo2bo$369b2o3bo11bo3b2o3b2o5bo4bo11bo4bo82b7o$
369b6o11b6o12b3o13b3o50bo7bo27bobo$370bob2o13b2obo7bo75bo5bo25bo7bo$
371b2o15b2o8b2o13bo92bo7bo$396b2o13b2ob2o91b2o3b2o294bo$393bobobo12bo
5bo389bobo$379b3o11b2o15bo2bo2bo390b2o$378b2ob2o27bo5bo$377b3ob3o$377b
obobobo27b2ob2o$378b5o30bo$379b3o3$816bo$817bo$815b3o!
:arrow: b25s34h, b35s1368, b3s0246, b38s246

Banananananan
Posts: 42
Joined: May 5th, 2024, 8:52 pm

Re: Thread For Your Unrecognised CA

Post by Banananananan » June 1st, 2024, 6:54 pm

Here is a rule with potential engineering. Here is Not-so-Sparky(B2en3-a4cw7e/S1c2-e3-r)
This is a rule with sort of sparky oscillators with p4. There are 3 spaceships found so far: 2 c/2o spaceships, and a c/5d ship(L,T,U)

Code: Select all

x = 21, y = 4, rule = B2en3-a4cw7e/S1c2-e3-r
4o5b3o5b4o$o8b3o5b4o$o9bo8bo$o!
2 blocks eat a T

Code: Select all

x = 14, y = 9, rule = B2en3-a4cw7e/S1c2-e3-r
2o$2o2$11b2o$11b3o$11b2o2$2o$2o!

Code: Select all

x = 42, y = 9, rule = B2-c/S
o15bo$o15bo2$31bo$30bob2obo$29bobo$28bo$28bo$29bobobobobobobo!

Mathemagician314
Posts: 141
Joined: November 15th, 2023, 3:15 pm
Location: Toroidal Universe MKA-84

Re: Thread For Your Unrecognised CA

Post by Mathemagician314 » June 2nd, 2024, 6:49 am

whatislife wrote:
May 25th, 2024, 10:24 pm
Another rule I clicked on in Catagolue recent hauls and played with for a while, this time first run by mathemagician314: b3-q5q6-aks23-a4a8
Whoa! I was messing around in Golly, and found that rule with the glider and some c/21 tech. I apgsearched a few hauls and found that the rule had an abundance of spaceships, including a c/11o, a 10c/20o, a c/5d, and a small (2,1)c/7 knightship. After experimenting in Golly some more with this rule, I forgot about it for a bit.

Then I came back a week later and found out that someone had searched all the symmetries and had submitted a bunch more hauls to C1! It turns out this rule has more to offer, including more oscillators, spaceships, and linear growth patterns. Anyway, thank you so much for searching this rule and finding the stuff in your post above.

So this post has some academic content in it, ikpx2 yielded a c/3o, and a tagalong:

Code: Select all

x = 52, y = 32, rule = B3-q5q6-ak/S23-a4a8
11bo28bo$10bobo26bobo$7bo2b3o2bo20bo2b3o2bo$5b2obo2bo2bob2o16b2obo2bo
2bob2o$3b2obo2bo3bo2bob2o12b2obo2bo3bo2bob2o$2bobob2obo3bob2obobo10bob
ob2obo3bob2obobo$5bo3b2ob2o3bo16bo3b2ob2o3bo$b3obo3bo3bo3bob3o8b3obo3b
o3bo3bob3o$bob2o4bo3bo4b2obo8bob2o4bo3bo4b2obo$9bo3bo24bo3bo$2b2o15b2o
10b2o15b2o$3b4o9b4o12b4o9b4o$2b2o15b2o10b2o15b2o$4b3obo5bob3o14b3obo5b
ob3o$2bo2bobobo3bobobo2bo10bo2bobobo3bobobo2bo$2bobo4b2ob2o4bobo10bobo
4b2ob2o4bobo$b2o3bo3b3o3bo3b2o8b2o3bo3b3o3bo3b2o$b5o2bobobobo2b5o8b5o
2bobobobo2b5o$o3b2o11b2o3bo6bo3b2o11b2o3bo$6bo9bo18bo9bo$6b2o7b2o18b2o
7b2o$7bo7bo20bo7bo$7bo7bo20bo7bo$7bo7bo20bo7bo2$36bo7bo$34b2o9b2o$34bo
2bo2bo2bo2bo$37b3ob3o$33bo5bobo5bo$33bob2o7b2obo$33bobo9bobo!
Can we make a (28,3)c/84 spaceship??

Code: Select all

x = 6, y = 7, rule = B3-e4i5-a/S2-i3-a4cr5e6c
3o$o$o2$5bo$5bo$3b3o!
[[ THEME PCA ]]

Code: Select all

x = 6, y = 5, rule = 2-ak34/2kn3-r4aijnr5c/5
.3A$.ABA$DAD2A$.ABADC$.3A2B!
[[ THEME BLUES ]]

CasperWen8805181
Posts: 176
Joined: November 5th, 2023, 10:57 pm

Re: Thread For Your Unrecognised CA

Post by CasperWen8805181 » June 2nd, 2024, 3:23 pm

Fun alternating rule I think has some engineering potential (Bonus drunk glider)

Code: Select all

x = 3, y = 3, rule = B2e3-i/S23-j4k|B3/S1e2-e3
bo$2bo$3o!
My Rules: Hash2F

User avatar
wirehead
Posts: 265
Joined: June 18th, 2022, 2:37 pm
Location: /dev/full
Contact:

Re: Thread For Your Unrecognised CA

Post by wirehead » June 2nd, 2024, 4:26 pm

I'd like to give a shout out to the Zhang-Suen algorithm for thinning a bitmap. The details can be found here: https://distantreader.org/stacks/journa ... cs-380.pdf

It looks like it is an alternating 2-state rule, but I haven't bothered to actually figure out the Hensel string. I can tell that the B part is empty in both parts.
Langton's ant: Can't play the drums, can be taught.

vilc
Posts: 49
Joined: March 20th, 2024, 4:36 pm

Re: Thread For Your Unrecognised CA

Post by vilc » June 2nd, 2024, 5:51 pm

wirehead wrote:
June 2nd, 2024, 4:26 pm
I'd like to give a shout out to the Zhang-Suen algorithm for thinning a bitmap. The details can be found here: https://distantreader.org/stacks/journa ... cs-380.pdf

It looks like it is an alternating 2-state rule, but I haven't bothered to actually figure out the Hensel string. I can tell that the B part is empty in both parts.
Very interesting to see applications of cellular automata to image processing. They actually use an alternating MAP rule, with D2 diagonal symmetry on the transitions.

1. In step 3. of the paper's algorithm, (a) and (b) mean that the conditions that cause a pixel to die are a subset of S2a3ai4a5ai6a.

2. It is not very clear to understand which cell the P_i refer to. I assume they are numbered the same way as the diagram of algorithm 3. In this case, P_2, P_4, P_6 and P_8 refer to all edge neighbours, starting from the top.
If the generation is odd, by (c) and (d) the pixel dies only if one of the following patterns is matched :

Code: Select all

?.?|?.?|?.?|?.?|?o?|?o?|?o?|?.?|?.?|?.?
.o.|.oo|.o.|.oo|.o.|.oo|.o.|oo.|ooo|oo.
?.?|?.?|?o?|?o?|?.?|?.?|?o?|?.?|?.?|?o?
If the generation is even :

Code: Select all

?.?|?.?|?o?|?o?|?.?|?.?|?o?|?.?|?.?|?o?
.o.|oo.|.o.|oo.|.o.|oo.|.o.|.oo|ooo|.oo
?.?|?.?|?.?|?.?|?o?|?o?|?o?|?.?|?.?|?.?
Now we just need to combine 1 and 2 into an alternating MAP rule.

Supersuthiastic
Posts: 16
Joined: March 14th, 2024, 8:55 pm

Re: Thread For Your Unrecognised CA

Post by Supersuthiastic » June 11th, 2024, 12:17 pm

B34ce7e/S237c has a very common period-40 spaceship. The reason why it is so common is that the B-heptomino evolves into it.

Code: Select all

x = 4, y = 3, rule = B34ce7e/S237c
ob2o$3o$bo!

User avatar
confocaloid
Posts: 3275
Joined: February 8th, 2022, 3:15 pm

Re: Thread For Your Unrecognised CA

Post by confocaloid » June 11th, 2024, 3:30 pm

Supersuthiastic wrote:
June 11th, 2024, 12:17 pm
B34ce7e/S237c has a very common period-40 spaceship. The reason why it is so common is that the B-heptomino evolves into it.

Code: Select all

x = 4, y = 3, rule = B34ce7e/S237c
ob2o$3o$bo!
a p6 orthogonal c/3 spaceship:

Code: Select all

x = 19, y = 20, rule = B34ce7e/S237c
4$6bo$6bo$5bobo2$5bobo$5bobo$5bobo$6bo!
noticed in Golly while running the following initial pattern:

Code: Select all

x = 90, y = 16, rule = B34ce7e/S237c
87b2o$88b2o$87b2o$87bo6$o$2o$b2o82b2o$2o82b2ob2o$85bo2bo$85bo2bo$86b2o!
Orthogonal c/2 (backrake, sparky spaceships, block puffer, loaf puffer, pond puffer):

Code: Select all

x = 118, y = 225, rule = B34ce7e/S237c
61b2o$62b2o$61b2o$61bo6$111b2o$112b2o$111b2o$111bo7$o$2o107b2o$b2o105b
2ob2o$2o107bo2bo$109bo2bo$110b2o35$31b2o78b2o$32b2o78b2o$31b2o78b2o$
31bo79bo7$110b2o$31b3o2bo72b5o$31b5ob2o70bo4bo$31b2o5bo70b3o2bo$34bo3b
o71bo2b2o$35b3o73b2o$35bo34$111b2o$112b2o$111b2o$111bo8$110b2o$109b2ob
2o$110bo2bo$110bo2bo$111b2o35$111b2o$112b2o$111b2o$111bo7$110bo$110bo
2b2o$109bobo3bo$110bobo2b2o$110bo3b2o$112b3o35$111b2o$112b2o$111b2o$
111bo6$109b2o$107bo3b2o$107bo3bo3b2o$107b3o6b2o$115b2o$111b2o2bo$111b
2o!
edit 1: some known objects from Conway's Life that evolve identically in this CA: census/b34ce7es237c/ror_stdin_test
127:1 B3/S234c User:Confocal/R (isotropic CA, incomplete)
Unlikely events happen.
My silence does not imply agreement, nor indifference. If I disagreed with something in the past, then please do not construe my silence as something that could change that.

CasperWen8805181
Posts: 176
Joined: November 5th, 2023, 10:57 pm

Re: Thread For Your Unrecognised CA

Post by CasperWen8805181 » June 11th, 2024, 10:09 pm

AceBrain, a rule where it's just brain + S3ace:

Code: Select all

x = 24, y = 17, rule = 3ace/2/3
3.B$3A6.A$2B3.B2.B.B$.B5.2A.2A$8.B.B.A.A$10.B.3B$2.B9.B2.A6.BA$16.B2.
BA.BA$14.A2.2A.BA$14.2B2.BA$11.A3.A$11.3B$13.A$10.B$10.A$8.2B$8.2A!
This double-rake would otherwise be a simple rake with interesting circle like spark.
(found rake naturally.)
My Rules: Hash2F

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