Challenge: Moving Rake Gun (AKA Rake Rake)

Gamedziner · Post by **Gamedziner** » November 15th, 2016, 9:51 am

We know that many rakes produce gliders, and that gliders can be used to make more rakes. From this knowledge, I challenge everyone to try to make rakes whose gliders interact just right to make more rakes moving in the opposite direction.

Post by **dvgrn** » November 15th, 2016, 11:08 am

Gamedziner wrote:We know that many rakes produce gliders, and that gliders can be used to make more rakes. From this knowledge, I challenge everyone to try to make rakes whose gliders interact just right to make more rakes moving in the opposite direction.

This would be a type MMM breeder -- moving objects creating moving objects creating moving objects. Does Golly's Patterns/Life/Breeders/rake-breeder.rle count?

Code: Select all

#C Rake puffer -- a type-MMM breeder
#C Creates a new rake every 60 generations.
#C Achim Flammenkamp, 1994
#C From "rake-puff.lif" in Jason Summers' "jslife" pattern collection.
x = 398, y = 405, rule = B3/S23
81b2o5b4o$79b2ob2o3bo3bo$79b4o8bo$80b2o5bo2bo2$75b2o9bo$73b5o8b3o$73b
2o4bo5bo3bo$73b2o5b5o4bo$75b2o4b4obob2o$78b3ob2o3bo$84bobo2$64bo$62b2o
24b4o$63b2o22bo3bo$70b4o17bo$69bo3bo13bo2bo$49bo23bo$47b2o20bo2bo$48b
2o14b2o$63b4o$53bo9b2ob2o$53bo11b2o$49bo2b2o4bobo$49bo7bo2b2o$49bo2b2o
4bobo$53bo11b2o$19bo20b2o11bo9b2ob2o$17b2o20b4o20b4o$18b2o19b2ob2o20b
2o$30b3ob2o5b2o$29b2o5bo$28bo7b2o$29b2o5bo$30b3ob2o5b2o$39b2ob2o$39b4o
$40b2o$20bo2bo$24bo$20bo3bo$10b2o9b4o$9b2o5b3o$5b3o6b2ob2o$9b2o5b3o$
10b2o9b4o$20bo3bo19bo2bo$24bo23bo$20bo2bo7b2o11bo3bo$33bo11b4o$28bo7b
2o2b3o$13b3o11bo8b2o2b3o$13bo14bo7b2o2b3o$14bo18bo11b4o$31b2o11bo3bo$
48bo80b2o5b4o$28b3o13bo2bo79b2ob2o3bo3bo$28bo98b4o8bo$29bo23b2o73b2o5b
o2bo$51b2ob2o$51b4o16b2o$43b3o6b2o15b2ob2o53bo7b2o$43bo25b4o45b5o7b2o
3bobo$44bo25b2o46bo18bo$119b3o13b3o$60bo3bo55bo4b2o$60b2o5b3o55b2o$55b
2o9bob3o$54bo6bo8b2o$3o5b3o3b3o36bo3bo3b8obo38bo26b4o$o2bo4bo2bo2bo2bo
36bo3bo7b4o37b2o26bo3bo$o7bo5bo43bo8bo40b2o8b4o17bo$o7bo5bo102bo3bo13b
o2bo$bobo5bobo3bobo42bo2bo57bo$64bo6b2o21bo22bo2bo$60bo3bo4b2ob2o18b2o
18b2o$61b4o4b4o20b2o16b4o13b4o$bo68b2o29bo9b2ob2o11bo3bo12bo2bo$3o98bo
11b2o16bo16bo$ob2o75bo17bo2b2o4bobo18bo2bo13bo3bo$b3o73b2o18bo7bo2b2o
35b4o$b2o75b2o17bo2b2o4bobo$101bo11b2o6bo$88b2o11bo9b2ob2o6bo18bobo$
87b4o20b4o5b3o12b3ob2o3bo$87b2ob2o20b2o18b2o4b4obob2o$16b3o59b3ob2o5b
2o39b2o5b5o4bo$15bo2bo58b2o5bo31bo13b2o4bo5bo3bo$18bo57bo7b2o31bo12b5o
8b3o$18bo30bo27b2o5bo30b3o14b2o9bo$15bobo29b2o29b3ob2o5b2o$48b2o37b2ob
2o45b2o5bo2bo$87b4o20bo24b4o8bo$88b2o22bo23b2ob2o3bo3bo$110b3o18b2o5b
2o5b4o$129b2ob2o$45b2o28b2o28b2o10b3o5bo3b4o$45b2o28b2o28b2o7bo2b3o3b
2obo3b2o$114bobo6bo3bo$30b3o5b3o73bo2b3o3b2obo3b2o$30bo2bo4bo2bo9b2o
64b3o5bo3b4o$30bo7bo12bobo42b4o8bo2bo17b2ob2o$30bo7bo12bo32bo10bo3bo
12bo18b2o$31bobo5bobo41bobo4b2o7bo8bo3bo$81b2o2bo3b4o2bo2bo10b4o$79b2o
bo5bo3b2o$81b2o2bo3b4o2bo2bo$31bo51bobo4b2o7bo$30b3o51bo10bo3bo$30bob
2o62b4o20b4o$31b3o47b2o36bo3bo$31b2o48bobo31bo7bo$81bo28b7o2bo2bo$109b
o2b3ob2o$110b7o2bo2bo$96b2o17bo7bo$46b3o47bobo20bo3bo$45bo2bo47bo23b4o
$48bo$48bo78b2o$45bobo63b2o13b4o$111bobo12b2ob2o14b2o42b2o5b4o$111bo
16b2o14b4o39b2ob2o3bo3bo$144b2ob2o38b4o8bo$146b2o40b2o5bo2bo$125bo$
124b3o59bo$123bob2o3bo11bo42b2o8b2o$123bo6bo10b4o39bo9bo2bo$60b3o5b3o
53bo14b5obo39b5o4bo2bo$60bo2bo4bo2bo66bo6b2o39b4o3b2ob2o$60bo7bo68bo3b
ob3o43bo4b2o$60bo7bo69bo3b3o$61bobo5bobo67bo32bobo$173b3o$145b2o26b3o
20b4o$136b4o4b4o47bo3bo$61bo73bo3bo4b2ob2o29b4o17bo$60b3o76bo6b2o12bo
16bo3bo13bo2bo$60bob2o71bo2bo19b2o21bo$61b3o95b2o16bo2bo$61b2o109b2o$
171b4o13b4o$145bo15bo9b2ob2o11bo3bo12bo2bo$143b2o16bo11b2o16bo16bo$
144b2o11bo2b2o4bobo18bo2bo13bo3bo$76b3o78bo7bo2b2o35b4o$75bo2bo78bo2b
2o4bobo15b3o$78bo82bo11b2o$78bo49b2o2bo15b2o11bo9b2ob2o7bo2bo14b2o$75b
obo51bo3bo13b4o20b4o8bobo18bo$131bo15b2ob2o20b2o4bo20b2o4b2o$138b3ob2o
5b2o28bo18b2o6bo$137b2o5bo32b3o17b2o7bo$136bo7b2o52bo3bo2bo$137b2o5bo
58bo$138b3ob2o5b2o22bo$147b2ob2o22bo22b2o5bo2bo$100bo46b4o21b3o21b4o8b
o$90b3o5b2o48b2o46b2ob2o3bo3bo$90bo2bo4bo2bo89b2o5b2o5b4o$90bo7bo2bo
66bo20b2ob2o$90bo7bo30b2o28b2o8bo7b3o5bo3b4o$91bobo5bo3bo25b2o28b2o6b
3o4bo2b3o3b2obo3b2o$104bo69bobo6bo3bo$101b2o71bo2b3o3b2obo3b2o$177b3o
5bo3b4o$91bo64b4o8bo2bo17b2ob2o$90b3o51bo10bo3bo12bo18b2o$90bob2o49bob
o4b2o7bo8bo3bo$91b3o47b2o2bo3b4o2bo2bo10b4o$91b2o46b2obo5bo3b2o$141b2o
2bo3b4o2bo2bo$143bobo4b2o7bo$144bo10bo3bo$156b4o20b4o$106b3o70bo3bo$
105bo2bo66bo7bo$108bo38b2o21b7o2bo2bo$108bo38bobo19bo2b3ob2o$105bobo
39bo22b7o2bo2bo$175bo7bo$164bobo12bo3bo$162b4o14b4o$162bo2bo$162bo24b
2o$186b4o$186b2ob2o14b2o40b2o5b4o$177b2o9b2o14b4o37b2ob2o3bo3bo$120b3o
54bobo24b2ob2o36b4o8bo$120bo2bo53bo28b2o38b2o5bo2bo$120bo$120bo130b2o$
121bobo70b2o39bob2o11b5o$193bo2bo36bo5bo10bo4bo$188b3o13b2o33bo10b3o2b
o$187bo2bo8bo5b2o26bo5bo11bo2b2o$121bo65b2ob2o3bo3bo4b2o28bo3bo2b2o9b
2o$120b3o72bo4bo3bo30b3o3b2o$120bob2o73bo$121b3o$121b2o82b2o47b4o$196b
4o4b4o16bo28bo3bo$195bo3bo4b2ob2o13b2o12b4o17bo$199bo6b2o15b2o10bo3bo
13bo2bo$195bo2bo40bo$136b3o96bo2bo$135bo2bo91b2o$138bo70bo19b4o13b4o$
138bo70bo9bo9b2ob2o11bo3bo12bo2bo$135bobo81bo11b2o16bo16bo$215bo2b2o4b
obo18bo2bo13bo3bo$194bo20bo7bo2b2o35b4o$192b2o21bo2b2o4bobo$193b2o24bo
11b2o$206b2o11bo9b2ob2o4bo13b2o$205b4o20b4o6bo7bo4b2o$205b2ob2o20b2o5b
3o6b3o13b3o$196b3ob2o5b2o36bo18bo$150b3o42b2o5bo42b5o7b2o3bobo$150bo2b
o40bo7b2o29bo20bo7b2o$150bo44b2o5bo31bo$150bo45b3ob2o5b2o23b3o$151bobo
51b2ob2o45b2o5bo2bo$205b4o45b4o8bo$206b2o20bo25b2ob2o3bo3bo$229bo19b2o
5b2o5b4o$151bo75b3o17b2ob2o$150b3o28b2o28b2o22b3o5bo3b4o$150bob2o27b2o
28b2o19bo2b3o3b2obo3b2o$151b3o78bobo6bo3bo$151b2o70bo8bo2b3o3b2obo3b2o
$223bo11b3o5bo3b4o$214b4o8bo2bo17b2ob2o$202bo10bo3bo12bo18b2o$201bobo
4b2o7bo8bo3bo$166b3o30b2o2bo3b4o2bo2bo10b4o$165bo2bo28b2obo5bo3b2o$
168bo30b2o2bo3b4o2bo2bo$168bo32bobo4b2o7bo$165bobo34bo10bo3bo$196b2o
16b4o20b4o$196bobo38bo3bo$196bo36bo7bo$228b7o2bo2bo$227bo2b3ob2o$228b
7o2bo2bo$233bo7bo$237bo3bo$238b4o2$226b2o17b2o$226bobo15b4o$226bo17b2o
b2o14b2o$246b2o14b4o38bo2bo$262b2ob2o41bo6b2o$241b2o21b2o38bo3bo4b2ob
2o$181bo58b2o63b4o4b4o$180b3o131b2o$180bob2o55b2o$181b3o77b2o$181b2o
72b3o3bobo31bobo12b4o$252b3o6bob2o28b3ob2o11bo2b2o$252bo9b2o29b3ob3o
11bo2b2o$252b3o7bo31b2ob2o12bo2bo$295b3o3b2o9b2o$196b3o97bo4b2o$195bo
2bo64b2o$198bo55b4o4b4o$198bo54bo3bo4b2ob2o48b2o$195bobo59bo6b2o17bo
29b2ob2o$253bo2bo26bobo11b2o14b4o$283b2o10b2ob2o14b2o$295b4o$296b2o2$
268bobo18b4o14b2o$269bo8bo9bo3bo12b2ob2o13b2o$279b2o11bo12b4o13b4o$
276b3o5b2o2bo2bo14b2o14b2ob2o$253bo21b3o6b3o37b2o$253bobo20b3o5b2o2bo
2bo$253b2o24b2o11bo$278bo9bo3bo4bo14b2o$265b4o20b4o5b2o11bo2bo$264bo3b
o28b2o7b3o13b2o$260bo7bo36bo2bo8bo5b2o$211bo43b7o2bo2bo37b2ob2o3bo3bo
4b2o$210b3o41bo2b3ob2o29bo20bo4bo3bo$210bob2o41b7o2bo2bo25b2o20bo$211b
3o46bo7bo23b2o$211b2o51bo3bo54b2o$265b4o45b4o4b4o$287bo18bo2bo3bo3bo4b
2ob2o$288b2o20bo6bo6b2o$287b2o17bo3bo2bo2bo$226b3o12b2o28b2o23b2o9b4o$
225bo2bo12b2o28b2o22b2o5b3o$228bo62b3o6b2ob2o$228bo55bo10b2o5b3o$225bo
bo54b2o12b2o9b4o$275b2o10b2o17bo3bo$273b2ob2o8b4o20bo$261b3o5bo3b4o9b
2ob2o15bo2bo$258bo2b3o3b2obo3b2o12b2o$258bobo6bo3bo$258bo2b3o3b2obo3b
2o$261b3o5bo3b4o$273b2ob2o$257bo17b2o22b2o$256b2o26bo12b2ob2o$256bobo
25bo8bo3b4o$288b2o2bobo3b2o$279b2o6bo2b2o3bo$288b2o2bobo3b2o$284bo8bo
3b4o$284bo12b2ob2o$299b2o$377b2o5bo2bo$287bo88b4o8bo$286b2o16b4o68b2ob
2o3bo3bo$286bobo14bo3bo70b2o5b4o$307bo14b4o$303bo2bo14bo3bo48bo$325bo
47b2o$300b3o18bo2bo47bob2o7b2o$256b3o41bo71bobo7bo2b2o$255bo2bo40b2o
71b2o3bo3b3o2bo$258bo57b2o3b2o51bob3o2bo4bo$258bo55bo6bobo57b5o$255bob
o55bo2bo6bo58b2o$312b2o7b3o$313b2o46bobo20bo2bo$361b2o25bo$362bo3bo2bo
14bo3bo$370bo14b4o$315b2o5b4o40bo3bo$313b2ob2o3bo3bo20bobo18b4o$313b4o
8bo20b2o$314b2o5bo2bo22bo28bo2bo$362b2o16bo$360b2ob2o11bo3bo$331bobo
14b3o5bo3b4o13b4o13b4o$331b2o12bo2b3o3b2obo3b2o30bo3bo$332bo12bobo6bo
3bo14b2o22bo$345bo2b3o3b2obo3b2o9bo20bo2bo$348b3o5bo3b4o8bo$316bobo41b
2ob2o6b2o$316bobo19b2o22b2o24b2o3b2o$317bo9bo8b2ob2o45bo6bobo$325bobo
4bo3b4o27bo17bo2bo6bo$324bo2bo5bo3b2o26bobo16b2o7b3o$324bo6bo2bo31b2o
17b2o$324bo2bo5bo3b2o$325bobo4bo3b4o$327bo8b2ob2o21bo$286b3o49b2o20bob
o24b2o5b4o$285bo2bo72b2o16b2o4b2ob2o3bo3bo$288bo89b4o3b4o8bo$288bo77bo
11b2ob2o3b2o5bo2bo$285bobo29b2o28b2o8bo6b2obo3bo2bo5b2o$317b2o28b2o6bo
bo4b5o4bo3bo$356b2o4bo2bo4bo4b2o$362b5o4bo3bo$344bo2bo16b2obo3bo2bo5b
2o$348bo17bo11b2ob2o$331b2o11bo3bo9b4o16b4o$333bo11b4o8bo3bo17b2o$328b
o7b2o2b3o18bo$327bo8b2o2b3o14bo2bo$328bo7b2o2b3o$333bo11b4o$331b2o11bo
3bo19bo2bo$348bo23bo$344bo2bo12bo7bo3bo$358b3o3bo4b4o$334b3o21b2o5b2o$
334bo22bo6b3o$335bo22b2o5b2o$358b3o3bo4b4o$360bo7bo3bo$349b3obo18bo$
349b2o17bo2bo2$377b2o$375b2ob2o$364b3o8b4o16b2o$364bo11b2o15b2ob2o$
365bo27b4o$394b2o2$382b2o$376b3o3b2o9bo$376b3o14b2o$375bo3bo12bob2o$
375b4o13bobo$376b3o13b2o3$384bo2bo$388bo6b2o$384bo3bo4b2ob2o$385b4o4b
4o$394b2o!

People have been building things like this for over twenty years. If the "rakes moving in the opposite direction" is really part of the requirement, I don't remember if there's an existing example, but it doesn't seem like it should be terribly difficult to cobble one together.

Gamedziner · Post by **Gamedziner** » November 15th, 2016, 5:36 pm

I do mean one that moves in the opposite direction.

Post by **dvgrn** » November 16th, 2016, 3:08 am

Gamedziner wrote:I do mean one that moves in the opposite direction.

Okay. I've very seldom built any kind of complex rake or breeder, but here's at least a possible way to tackle the problem. Maybe the following will encourage some rake expert to chime in and set the record straight.

The rake breeder I quoted uses all backward p60 rakes, plus some block puffers to start things off. You can use some of the same construction recipes to build rakes that travel west instead of north -- but you'll have to use both forerakes and backrakes as well as block puffers. Or you could make blocks by colliding forward and backward gliders, but I think that might be overkill. Let's see how it goes.

Those long backrakes with the p20 streams thinned out by multiple Schick engines are terribly last century -- last millenium, even. Also, period 60 may be too fast, given that the output rakes will be running away backwards. Let's try using rakes from Jason Summers' jslife collection. We want to build a rake moving in this direction:

Code: Select all

x = 40, y = 19, rule = B3/S23
35b4o$19bo2bo12bo3bo$18bo16bo$18bo3bo13bo2bo$18b4o3$obo16bo2bo$b2o15bo
$bo16bo3bo$18b4o$8bo$8bobo$8b2o2$19bo2bo5b2o$18bo8b4o$18bo3bo3b2ob2o$
18b4o5b2o!

So let's see if p60 rakes can handle doing the necessary constructions:

Code: Select all

x = 140, y = 61, rule = LifeHistory
50.2A66.A2.A$49.4A69.A$49.2A.2A64.A3.A$51.2A15.2A49.4A13.4A$66.2A.2A
64.A3.A$66.4A69.A$67.2A33.6A27.A2.A$101.A5.A$55.2A50.A11.A4.2A$40.A.A
6.3A3.2A9.A34.A4.A4.A6.A.A3.2A9.2A$41.2A6.3A14.2A35.2A4.A.A5.A3.A12.A
2.A$41.A6.A3.A12.A.2A41.2A5.A3.A12.A2.A$48.4A13.A.A49.A3.A11.2A.2A$
49.3A13.2A50.A2.A13.2A$25.3A7.A.A68.A12.A$24.5A7.2A66.A.A$24.3A.2A6.A
20.A2.A44.2A$27.2A32.A6.2A28.2A18.A2.A7.2A5.4A$57.A3.A4.2A.2A27.A.A
21.A4.2A.2A3.A3.A$30.A.A18.4A3.4A4.4A31.A16.A3.A4.4A8.A$23.2A6.2A17.A
3.A12.2A29.A2.A6.2A9.4A5.2A5.A2.A$31.A14.A7.A40.3A9.2A5.3A$41.7A2.A2.
A41.A7.3A6.2A.2A$40.A2.3A.2A47.A3.A6.2A5.3A$41.7A2.A2.A43.3A8.2A9.4A$
46.A7.A63.A3.A$50.A3.A67.A$51.4A63.A2.A4$15.D.D$13.D5.D2$12.D2.A.A2.D
$16.2A$12.D3.A3.D2$13.D5.D33.A$15.D.D35.A.A$53.2A2$35.4A$19.A2.A12.A
3.A$18.A16.A$18.A3.A13.A2.A$18.4A3$A.A16.A2.A$.2A15.A$.A16.A3.A$18.4A
$8.A$8.A.A$8.2A2$19.A2.A5.2A$18.A8.4A$18.A3.A3.2A.2A$18.4A5.2A!

Nope -- one problematic glider is circled in red. How about p120?

Code: Select all

x = 400, y = 112, rule = B3/S23
116b4o$115b6o$115b4ob2o$119b2o2$130b2o$129b4o$129b2ob2o$120b3ob2o5b2o$
75bo43b2o5bo$73bo3bo40bo7b2o$78bo28bo11b2o5bo$73bo4bo28bobo10b3ob2o5b
2o$74b5o28b2o20b2ob2o$129b4o$130b2o$115b6o$89bo24bo5bo$89bobo28bo$82bo
6b2o23bo4bo$81b2o33b2o$81bobo2$71bo36b4o$71bobo23bo9bo3bo$71b2o23b2o
13bo14b4o$96bobo8bo2bo14bo3bo$129bo$125bo2bo2$109bo4b2o$108bobo3b2o9b
2o$107bo3bo12bo2bo$56b3o48bo3bo12bo2bo$55b5o47bo3bo11b2ob2o$55b3ob2o
46bo2bo13b2o$58b2o49bo3$119b2o5b4o$60bobo54b2ob2o3bo3bo$61b2o54b4o8bo$
61bo56b2o5bo2bo7$141b5o$140bo4bo18bo2bo$145bo22bo6b2o$140bo3bo19bo3bo
4b2ob2o$142bo22b4o4b4o$152b3o4bo14b2o$152b2o4bobo$117b2o31b2ob2o3bobo
5bo$113b4ob2o30bo13bo4bo3bo$113b6o31b2o3b2o7bo3bo4b2o$114b4o34b4o7bo4b
o5b2o$154bo8b2o8b2o2$130b2o$130b4o$129bo3bo$130bo16b4o12b5o7b2o$129bo
16bo3bo11bo4bo5b2ob2o$129bob2o4bo4bo7bo16bo5b4o$128bo4b2o2b7o2bo2bo12b
o3bo7b2o$130b2o3b2o2b3ob2o19bo$30bobo102bo2b6o2bo2bo$31b2o102bo6bo7bo$
31bo114bo3bo$147b4o$98bo$98bobo$98b2o17$35b4o116b4o116b4o116b4o$19bo2b
o12bo3bo99bo2bo12bo3bo99bo2bo12bo3bo99bo2bo12bo3bo$18bo16bo102bo16bo
102bo16bo102bo16bo$18bo3bo13bo2bo98bo3bo13bo2bo98bo3bo13bo2bo98bo3bo
13bo2bo$18b4o116b4o116b4o116b4o3$obo16bo2bo116bo2bo116bo2bo116bo2bo$b
2o15bo119bo119bo119bo$bo16bo3bo115bo3bo115bo3bo115bo3bo$18b4o116b4o
116b4o116b4o$8bo$8bobo$8b2o2$19bo2bo5b2o109bo2bo5b2o109bo2bo5b2o109bo
2bo5b2o$18bo8b4o107bo8b4o107bo8b4o107bo8b4o$18bo3bo3b2ob2o107bo3bo3b2o
b2o107bo3bo3b2ob2o107bo3bo3b2ob2o$18b4o5b2o109b4o5b2o109b4o5b2o109b4o
5b2o!

Good, no collision troubles this time. We could probably find a shorter period that would work just as well, but p120 has reasonable sized rakes so let's just go with that. So maybe the next step is to locate a reasonable p120 block puffer. I tried adding an HWSS to a p120 backrake and came up with this:

Code: Select all

x = 72, y = 32, rule = B3/S23
b6o$o5bo$6bo$o4bo$2b2o$42b2o$41b4o$4b2o23bo11b2ob2o$3b2o22b2obo3bo2bo
5b2o$5bo19b5o4bo3bo$25bo2bo4bo4b2o$25b5o4bo3bo28bo2bo$27b2obo3bo2bo5b
2o15b2o9bo$29bo11b2ob2o11b3ob2o4bo3bo$41b4o12b5o6b4o$42b2o14b3o2$34b2o
$33b2o31b2o$9b2o24bo19b2o8bo2b2o$7bo4bo42b3o6b3o2bo$13bo38bo2bobo6bo4b
o$7bo5bo38b2o2bo7b5o$8b6o51b2o2$60b2o5bo2bo$59b4o8bo$59b2ob2o3bo3bo$
38b2o21b2o5b4o$35b3ob2o$35b5o$36b3o!

Having a block sitting around for a long time in a spaceship lane will probably be a problem, especially when two spaceships have to follow each other closely. We might need different recipes for those cases -- build a block from one side with two gliders, maybe, and then immediately hit it with two more gliders to make the LWSS. But at least for the first, central LWSS stream we can use the block puffer plus two gliders:

Code: Select all

x = 862, y = 190, rule = B3/S23
152b2o$150bo4bo$156bo$150bo5bo$151b6o2$164bo2bo$168bo$153bo10bo3bo$
154b2o9b4o$153b2o5b3o$149b3o6b2ob2o$112b2o36b2ob2o5b3o$109b3ob2o25bo
13b2o9b4o$109b5o24b2o24bo3bo$110b3o26b2o27bo$151b4o9bo2bo$150b6o$150b
4ob2o$122bo31b2o$120b2o$121bobo2$121b2o21b2o$114bo7bo20b4o$112bobo28b
2ob2o14b2o$113b2o30b2o14b4o$137b2o22b2ob2o$137bobo23b2o$137bo$159bo$
157bo$153bo3bo2b2o$92bo56bo2b3obo5bo$90bo3bo53bob5o2bobo2b2o$95bo51b2o
b2o5bo3b2o$90bo4bo52bo2bo7b3o$91b5o$149b2o$162b2o$153b4o4b4o$152bo3bo
4b2ob2o$156bo6b2o$152bo2bo6$177b3o$176b5o$176b3ob2o$179b2o21b2o5b4o$
200b2ob2o3bo3bo$84bo115b4o8bo$82bobo93bo22b2o5bo2bo$83b2o93b2o$149b6o
23b2o19bo$148bo5bo30bo12b2o8b2o$154bo28b2o12bo9bo2bo$148bo4bo30b2o12b
5o4bo2bo$150b2o47b4o3b2ob2o$202bo4b2o3$183b2o14b3o$182b4o12b5o6b4o$
172bo9b2ob2o11b3ob2o4bo3bo$172bo11b2o15b2o9bo$168bo2b2o4bobo28bo2bo$
168bo7bo2b2o$168bo2b2o4bobo$172bo11b2o$172bo9b2ob2o$182b4o$183b2o9$54b
o$52bobo$53b2o2$95bo$93b2o$94b2o3$19b2o118b2o118b2o118b2o118b2o118b2o$
18b4o116b4o116b4o116b4o116b4o116b4o$17b2ob2o115b2ob2o115b2ob2o115b2ob
2o115b2ob2o115b2ob2o$b2o15b2o101b2o15b2o101b2o15b2o101b2o15b2o101b2o
15b2o101b2o15b2o$2ob2o115b2ob2o115b2ob2o115b2ob2o115b2ob2o115b2ob2o$b
4o116b4o116b4o116b4o116b4o116b4o$2b2o118b2o118b2o118b2o118b2o118b2o$
791b6o$790bo5bo$4b4o3bobo107b2o118b2o118b2o118b2o118b2o193bo$3b2o2bo2b
o4bo104b2ob2o115b2ob2o115b2ob2o115b2ob2o115b2ob2o70b2o58b2o53bo4bo$2b
2o2bo4bo3bo105b4o116b4o116b4o116b4o116b4o70b2o58b2o55b2o$3bo2bo5bo3bo
105b2o118b2o118b2o118b2o118b2o228b2o$4b2o8b2o815b4o$14b2o805bo9b2ob2o$
797b2o22bo11b2o$10bo2bo116bo2bo116bo2bo116bo2bo116bo2bo116bo2bo182b2o
19bo2b2o4bobo$b2o6bo111b2o6bo111b2o6bo111b2o6bo111b2o6bo111b2o6bo188bo
18bo7bo2b2o$2ob2o4bo3bo106b2ob2o4bo3bo106b2ob2o4bo3bo106b2ob2o4bo3bo
106b2ob2o4bo3bo106b2ob2o4bo3bo203bo2b2o4bobo28bo2bo$b4o4b4o108b4o4b4o
108b4o4b4o108b4o4b4o108b4o4b4o108b4o4b4o208bo11b2o15b2o9bo$2b2o118b2o
118b2o118b2o118b2o118b2o217bo9b2ob2o11b3ob2o4bo3bo$831b4o12b5o6b4o$
700b2o130b2o14b3o$699b4o$689bo9b2ob2o$689bo11b2o124b2o13bo$685bo2b2o4b
obo102b2o25b2o13b2o4b2o8b3o$685bo7bo2b2o99bo4bo25bo11bob3ob2o11bo$685b
o2b2o4bobo28bo2bo74bo36b2obob4o3b2o3bobo$689bo11b2o15b2o9bo67bo5bo39bo
bo3bo7b2o$689bo9b2ob2o11b3ob2o4bo3bo68b6o40bo$699b4o12b5o6b4o$700b2o
14b3o131b2o5bo2bo$849b4o8bo$647b3o199b2ob2o3bo3bo$649bo69bo4b2o102b2o
21b2o5b4o$648bo18b2o47b4o3b2ob2o97b3ob2o$665bo4bo30b2o12b5o4bo2bo97b5o
$671bo28b2o12bo9bo2bo98b3o$665bo5bo30bo12b2o8b2o$666b6o23b2o19bo$695b
2o$695bo22b2o5bo2bo$717b4o8bo$717b2ob2o3bo3bo$696b2o21b2o5b4o$693b3ob
2o$693b5o$694b3o7$735b2o$726b4o4b4o$725bo3bo4b2ob2o$729bo6b2o$665bo59b
o2bo$663bo3bo$668bo$663bo4bo57b2o$664b5o57bo7b2o$677b3o46bo2bo5b2o$
679bo47b3o4b2o$678bo34bo15b2o3bo$713bo$713bobo$714bo20b2o$714bo19b4o$
717b2o15b2ob2o$700bo15b4o16b2o$699bo16b2ob2o$699b3o16b2o4$724b4o$723b
6o$705bo17b4ob2o$704b2o21b2o$704bobo$738b4o$685b2o50bo3bo$682b3ob2o53b
o$682b5o36bo9b2o2bo2bo$683b3o36b2o9b3o$722bobo8b2o2bo2bo$741bo$737bo3b
o$738b4o$725b2o$723bo4bo$729bo$723bo5bo$724b6o!

So far so good. Just four more LWSSes to build, two from each side presumably.

It looks like the one-sided insertion mechanism in the space-rake maker that toroidalet found can just barely build an LWSS as close in front of an existing LWSS as we're going to need for the tightest-packed pair of spaceships in the space rake:

Code: Select all

x = 62, y = 22, rule = B3/S23
57b4o$57bo3bo$57bo$58bo2bo$23b2o$22b2o$15bo8bo$15b2o$14bobo8$b2o$obo$
2bo$38b2o$37b2o$39bo!

But maybe it would be good to go have a close look at that space-rake maker. It actually builds the LWSSes in a very different order that what I've outlined here, creating an ecologist first and then adding the final spaceship afterwards that turns it into a space rake. So there are a couple of LWSSes that will need four synchronized gliders to build using the above outline, where they might only need three gliders apiece with a different build order.

Anyone else care to contribute to (or complete) this interesting experiment?

wildmyron · Post by **wildmyron** » November 17th, 2016, 5:34 am

Here is an almost entirely unoptimised solution. I went with the original synthesis method (although in a different order) because getting the B in place simultaneously with an LWSS to stablisie it seemed far to tricky with the available rakes. Some of the rakes are altered to allow them to be packed in closer together, aside from that I went with a fairly naive construction.

Code: Select all

x = 663, y = 262, rule = B3/S23
623b2o$619b4ob2o$619b6o$620b4o2$635b2o$633b2ob2o$619bo9bo3b4o$618bo11b
o3b2o$618b3o7bo2bo$578b5o47bo3b2o$577bo4bo46bo3b4o$582bo50b2ob2o$577bo
3bo19bo18b2o13b2o$579bo20bo17bo4bo$600b3o21bo$618bo5bo$619b6o4$611bo2b
o$596b2o17bo$249b6o340b2o14bo3bo13bo2bo$248bo5bo342bo14b4o17bo$254bo
374bo3bo$248bo4bo376b4o$250b2o357b3o$263b4o$262bo3bo341bo2bo14b2o$258b
o7bo306bo34bobo18bo$253b7o2bo2bo308b2o48b2o4b2o$208b3o41bo2b3ob2o312b
2o48b2o6bo$207b5o29bobo9b7o2bo2bo296b2o58b2o7bo$207b3ob2o28b2o15bo7bo
292b3ob2o58bo3bo2bo$210b2o30bo19bo3bo292b5o64bo$263b4o293b3o$622b2o5bo
2bo$252b2o367b4o8bo$223bobo22b4ob2o366b2ob2o3bo3bo$223b2o23b6o369b2o5b
4o$224bo24b4o2$483b6o$221b3o160b4o94bo5bo$221bo21b2o138b6o99bo159b2o$
222bo18b2ob2o137b4ob2o92bo4bo156b4ob2o$241b4o16b2o124b2o95b2o158b6o$
237bo4b2o15b2ob2o233b4o144b4o$207bo28bobo20b4o135b2o96bo3bo$208bo26bo
24b2o135b4o84b3o4bo7bo159b2o$206b3o28b2o158b2ob2o82b10o2bo2bo158b2ob2o
$390bo2bo5b2o41b3o40bo3b3ob2o149bo9bo3b4o$250bobo3b4o83bo46bo3bo46b5o
42b6o2bo2bo143bo11bo3b2o$248bo4bo2bo2b2o80bo3bo32bo10bo4b2o45b3ob2o45b
o7bo142b3o7bo2bo$248bo3bo4bo2b2o84bo31bobo9bo3bo49b2o50bo3bo102b5o47bo
3b2o$189b5o53bo3bo5bo2bo80bo4bo31b2o10bo2bo5b2o65bobo28b4o101bo4bo46bo
3b4o$188bo4bo54b2o8b2o82b5o50b2ob2o64b2o139bo50b2ob2o$193bo54b2o147b4o
66bo18b2o114bo3bo19bo18b2o13b2o$188bo3bo205b2o82b4ob2o115bo20bo17bo4bo
$190bo59bo2bo106bo22b6o93b6o55bo81b3o21bo$254bo6b2o97bobo19bo5bo94b4o
57b2o97bo5bo$250bo3bo4b2ob2o96b2o26bo59bobo92b2o99b6o$251b4o4b4o119bo
4bo60b2o2b3o$260b2o122b2o63bo2bo$453bo23b2o$359bo115b2ob2o156bo2bo$
358b2o16b4o95b4o16b2o143bo$358bobo14bo3bo50bobo34b3o6b2o15b2ob2o126b2o
10bo3bo13bo2bo$379bo14b4o32b2o35bo25b4o107bo18b2o12b4o17bo$279b5o91bo
2bo14bo3bo33bo36bo25b2o109b2o18bo28bo3bo$278bo4bo18bo2bo35bobo53bo206b
2o49b4o$283bo22bo6b2o27b2o28b3o18bo2bo87bo3bo$278bo3bo19bo3bo4b2ob2o
26bo29bo111b2o5b3o$280bo22b4o4b4o56b2o106b2o9bob3o141b3o3b2o$312b2o74b
2o3b2o83bo6bo8b2o139bo3bo2b2o9b2o$386bo6bobo27b5o49bo3bo3b8obo139bo5bo
11bo2b2o$255b2o49bo17b3o58bo2bo6bo26bo4bo50bo3bo7b4o146bo10b3o2bo$251b
4ob2o39b2o6bo3b3o11b5o56b2o7b3o31bo54bo8bo95b2o45bo5bo10bo4bo$177bo73b
6o40bob2o3bo3bob3o10b3ob2o56b2o35bo3bo157b3ob2o46bob2o11b5o$178bo73b4o
43b2o4bo6b2o12b2o96bo59bo2bo96b5o63b2o$176b3o120bo6b5obo175bo6b2o88b3o
$275bo32b4o172bo3bo4b2ob2o149b2o5bo2bo$275bobo31bo77b2o5b4o87b4o4b4o
149b4o8bo$75b3o197b2o108b2ob2o3bo3bo96b2o150b2ob2o3bo3bo$74b5o306b4o8b
o54b3o193b2o5b4o$74b3ob2o205b4o12b5o7b2o71b2o5bo2bo54b5o$77b2o21b2o5b
4o162bo10bo3bo11bo4bo5b2ob2o135b3ob2o$98b2ob2o3bo3bo161bobo4b2o7bo16bo
5b4o139b2o21b2o5b4o121b5o$98b4o8bo159b2o2bo3b4o2bo2bo12bo3bo7b2o161b2o
b2o3bo3bo120bo4bo18bo2bo$99b2o5bo2bo158b2obo5bo3b2o19bo117bo54b4o8bo
25bo99bo22bo6b2o$270b2o2bo3b4o2bo2bo133bo44bo9b2o5bo2bo27b2o92bo3bo19b
o3bo4b2ob2o$47b6o52bo166bobo4b2o7bo118b6o6b3o42b4ob3o41b2o95bo22b4o4b
4o$46bo5bo39b3o5bo3bo2bo165bo10bo3bo117bo5bo16b3o31bo3b5o10bo159b2o$
52bo39bo2bo3b2o7bo176b4o123bo15b5o30b3o7bo8b3o85b2o$46bo4bo48b2o6bo
297bo4bo16b3ob2o30bo2b3o5bo5bo3bo80b4ob2o53bo$48b2o44b2o5b2o4b2o290b5o
4b2o10bo10b2o33bob2o6b5o4bo80b6o14b5o31bo4bob2o7b4o$71bo34bo291bo4bo
15bob2o44b5o4b5obob2o81b4o14bo4bo35bo4bo6bo2b2o$44bo24b2o32b2o298bo14b
o3bo45b3o2b2o3b2o3bo77b2o27bo34bo4bo8bo2b2o$42b4o24b2o326bo3bo15b2o60b
obo75b3ob2o10bo10bo3bo18bo13b2o5b2o8bo2bo$41b2o38b2o14b3o300bo157b5o
12b2o10bo20bobo29b2o$41bo3bo34b4o12b5o6b4o200bobo144b2o14b3o82b3o12b2o
32b2o$42b4o24bo9b2ob2o11b3ob2o4bo3bo201b2o101b2o4b2o2bo31b4o12b5o6b4o$
43bo26bo11b2o15b2o9bo201bo102b2o4bo2bo18b3o11b2ob2o11b3ob2o4bo3bo71bo$
50b2o14bo2b2o4bobo28bo2bo314bo23b3ob2o5b2o15b2o9bo70bo56b4o12b5o7b2o$
47b2ob2o14bo7bo2b2o342bobo23b2o5bo28bo2bo72bo44bo9bo3bo11bo4bo5b2ob2o$
48bobo15bo2b2o4bobo342bobo23bo7b2o149b2o11bo16bo5b4o$49bo20bo11b2o336b
o2bo23b2o5bo147b3o5b2o2bo2bo12bo3bo7b2o$70bo9b2ob2o336b2o25b3ob2o5b2o
140b3o6b3o19bo$80b4o63bo309b2ob2o140b3o5b2o2bo2bo$81b2o65bo308b4o144b
2o11bo$146b3o309b2o144bo9bo3bo$185bo429b4o$185bobo$185b2o$26bo2bo116bo
2bo116bo2bo116bo2bo116bo2bo$17b2o6bo111b2o6bo111b2o6bo111b2o6bo119bo$
11bo4b2ob2o4bo3bo106b2ob2o4bo3bo106b2ob2o4bo3bo106b2ob2o4bo3bo115bo3bo
$9b2o6b4o4b4o108b4o4b4o108b4o4b4o108b4o4b4o116b4o$10b2o6b2o118b2o118b
2o118b2o$483bo134bo2bo$bo482b2o136bo6b2o$b2o480b2o133bo3bo4b2ob2o$obo
616b4o4b4o$17b2o118b2o118b2o369b2o$16b2ob2o115b2ob2o115b2ob2o$17b4o
116b4o116b4o296b5o60bo$18b2o118b2o118b2o296bo4bo59bo3b3o$561bo58bo3bob
3o$556bo3bo60bo6b2o$17b2o539bo48bo14b5obo$16b2ob2o14b2o70b2o46b2o118b
2o118b2o209bo6bo10b4o$17b4o13b4o69b2o45b4o116b4o116b4o208bob2o3bo11bo$
18b2o13b2ob2o115b2ob2o115b2ob2o115b2ob2o209b3o$34b2o118b2o118b2o118b2o
180b2o30bo$575bobo51b2o$577bo49b2ob2o$529b2o63bo16b2o14b4o$528b4o62bob
o12b2ob2o14b2o$374b2o142bo9b2ob2o61b2o13b4o$372b2ob2o141bo11b2o78b2o$
360b3o5bo3b4o138bo2b2o4bobo$357bo2b3o3b2obo3b2o139bo7bo2b2o$357bobo6bo
3bo50b2o58b3o19b2o9bo2b2o4bobo28bo2bo$357bo2b3o3b2obo3b2o14b3o30b2o59b
o18b2o14bo11b2o15b2o9bo61b2o$360b3o5bo3b4o12b5o6b4o18bo60bo21bo13bo9b
2ob2o11b3ob2o4bo3bo37b2o18b4ob2o$310b2o43bo16b2ob2o11b3ob2o4bo3bo125b
4o12b5o6b4o36b2o19b6o$87b3o219bobo42b2o18b2o15b2o9bo126b2o14b3o49bo19b
4o9bo2bo$89bo221bo42bobo41bo2bo71bo102b3o55bo$88bo382bo3bo75b2o22b5o
50bo3bo$125b2o270bo78bo77bo20b3ob2o50b4o$31bo92b2o258bo11bo2bo71bo4bo
72b2o4b2o21b2o34b2o10b3o$31b2o93bo262b2o9bo71b5o4b2o19b2o44b2o6bo56b2o
9b2ob2o$30bobo346b3o7bo2b2o6bo78bo4bo14b3ob2o27b2o13b2o7bo58bo10b3o$
339b6o32b2o2bo8b5o4b2o84bo13b5o25bo2b2obo5bo6bo3bo2bo75b4o$338bo5bo31b
2obo2bo8b3o4bo80bo5bo14b3o23bob2o2bobo6bo11bo76bo3bo$344bo32bo7b2o8b2o
83b6o40b2ob2ob2o100bo$338bo4bo34b2obo2b3o143b3o14b2o5bo2bo72bo2bo$340b
2o37b2o149b3o13b4o8bo$392b2o5b4o143b2ob2o3bo3bo58b6o$367b3o20b2ob2o3bo
3bo122b2o21b2o5b4o57bo5bo$366b5o19b4o8bo119b3ob2o94bo$366b3ob2o19b2o5b
o2bo120b5o89bo4bo$369b2o152b3o92b2o$569b2o$560b4o4b4o$559bo3bo4b2ob2o$
563bo6b2o$499bo59bo2bo$497bo3bo$502bo$497bo4bo57b2o$392bo2bo102b5o57bo
7b2o$396bo6b2o46b2o58b3o46bo2bo5b2o$392bo3bo4b2ob2o46b2o59bo47b3o4b2o$
393b4o4b4o46bo60bo34bo15b2o3bo$340b2o60b2o143bo$117b3o219bobo205bobo$
119bo211b5o5bo54bo151bo20b2o$118bo211bo4bo59bo3b3o146bo19b4o$215b2o
118bo58bo3bob3o148b2o15b2ob2o$61bo152b2o114bo3bo60bo6b2o130bo15b4o16b
2o$61b2o153bo115bo48bo14b5obo130bo16b2ob2o$60bobo317bo6bo10b4o131b3o
16b2o$191b2o187bob2o3bo11bo$182b4o4b4o187b3o$181bo3bo4b2ob2o187bo$185b
o6b2o209b2o153b4o$121bo59bo2bo216b2ob2o151b6o$119bo3bo162b2o80bo16b2o
14b4o134bo17b4ob2o$124bo54b2o104b4o79bobo12b2ob2o14b2o134b2o21b2o$119b
o4bo54b2o8b2o84bo9b2ob2o78b2o13b4o151bobo$120b5o53bo3bo5bo2bo62bo20bo
11b2o95b2o186b4o$179bo3bo4bo2b2o60bobo15bo2b2o4bobo75b2o159b2o50bo3bo$
179bo4bo2bo2b2o60b2ob2o14bo7bo2b2o69bo3b2o157b3ob2o53bo$181bobo3b4o64b
2o14bo2b2o4bobo28bo2bo38bobo3bo156b5o36bo9b2o2bo2bo$248bo26bo11b2o15b
2o9bo37b2o39b2o121b3o36b2o9b3o$168b2o77b4o24bo9b2ob2o11b3ob2o4bo3bo74b
4ob2o159bobo8b2o2bo2bo$166bo24b2o53bo3bo34b4o12b5o6b4o74b6o179bo$131bo
35bobo20b4o52b2o38b2o14b3o71b2o13b4o9bo2bo163bo3bo$130b2o36bo4b2o15b2o
b2o52b4o24b2o73b3o22b2o31bo163b4o$130bobo39b4o16b2o55bo24b2o32b2o39b5o
23bo26bo3bo150b2o$153bo18b2ob2o99bo34bo37b3ob2o50b4o148bo4bo$152bo21b
2o77b2o44b2o5b2o4b2o38b2o42b2o2b3o78b2o80bo$152b3o96bo4bo48b2o6bo74b2o
2b2o2b2o2b3o79b2o73bo5bo$149bo107bo39bo2bo3b2o7bo80bob2o2b3o78bo76b6o$
148b2o101bo5bo39b3o5bo3bo2bo79b2o11b4o$138bo9bobo29b4o68b6o52bo93bo3bo
$137bo41b6o223bo$137b3o39b4ob2o118b2o5bo2bo89bo2bo$138b2o43b2o118b4o8b
o230b2o5b4o$91bo75bo135b2ob2o3bo3bo75b6o147b2ob2o3bo3bo$91b2o73b2o26b
4o84b2o21b2o5b4o74bo5bo147b4o8bo$90bobo48b2o23bobo11bo12bo3bo81b3ob2o
111bo148b2o5bo2bo$138b3ob2o39bo4b2o7bo81b5o106bo4bo87b3o$138b5o36bo3bo
3b4o2bo2bo83b3o109b2o88b5o64bo$139b3o35bobo6bo3b2o290b3ob2o58bo3bo2bo$
178bo3b2o3b4o2bo2bo288b2o58b2o7bo$181bobo4b2o7bo348b2o6bo$156b2o5bo2bo
26bo3bo349b2o4b2o$155b4o8bo26b4o333bobo18bo$155b2ob2o3bo3bo13b2o348bo
2bo14b2o$157b2o5b4o11bo4bo$185bo346b3o$153bo25bo5bo367b4o$96b2o54b2o
26b6o366bo3bo$93b3ob2o52bob2o7b2o332b3o21bo14b4o17bo$93b5o53bobo7bo2b
2o330bo21b2o14bo3bo13bo2bo$94b3o54b2o3bo3b3o2bo331bo21b2o17bo$153bob3o
2bo4bo368bo2bo$160b5o$161b2o342bo$503b2o9b3o$140bobo20bo2bo337b2o8bo
27b6o$103b2o35b2o25bo347bo25bo5bo$103bobo35bo3bo2bo14bo3bo379bo$103bo
45bo14b4o334bo38bo4bo$145bo3bo350bo3bo38b2o13b2o$125bobo18b4o355bo26b
3o12bo8b2ob2o$125b2o373bo4bo26bo12bobo4bo3b4o$121b2o3bo374b5o27bo10bo
2bo5bo3b2o$121bobo30b2o388bo6bo2bo$121bo30bo4bo386bo2bo5bo3b2o$110bobo
45bo386bobo4bo3b4o$110bobo39bo5bo388bo8b2ob2o$110bobo40b6o399b2o$139b
2o27b2o$139bobo25b4o372b4o$112b5o22bo27b2ob2o370b6o$111bo4bo43bo2bo5b
2o371b4ob2o$116bo34bo8bo3bo381b2o$111bo3bo36bo2b2o2bo4b2o$113bo37bo3b
2o3bo3bo$156bo3bo2bo5b2o$167b2ob2o$167b4o$168b2o2$157b2o$153b4ob2o$
153b6o$154b4o!

simsim314 · Post by **simsim314** » November 17th, 2016, 5:56 am

Now we could ask, can we make a Rake of rakes of rakes, or more general can we make something relatively simple that shoots Rake^N ? Probably something recursive...

muzik · Post by **muzik** » November 17th, 2016, 2:11 pm

That would be cubic growth, which isn't very possible in a 2D automata like this.

Post by **dvgrn** » November 17th, 2016, 2:47 pm

simsim314 wrote:Now we could ask, can we make a Rake of rakes of rakes, or more general can we make something relatively simple that shoots Rake^N ? Probably something recursive...

This idea has come up a couple of times recently. Rake^(N+1)s are really painfully exponentially harder to build than rake^N's, especially above N=2 where you either have rake outputs crashing into each other, or getting suppressed, or you have to build in some kind of rake-thinning mechanism at each level as Calcyman mentioned. So this looks to me like a challenge that's very much worth avoiding...!

muzik · Post by **muzik** » November 17th, 2016, 7:41 pm

Unless you can get some sort of moving caber tosser type growth of course, a concept which does not seem very search-friendly.

RakeGuy1246 · Post by **RakeGuy1246** » August 7th, 2020, 12:02 pm

dvgrn wrote: ↑
November 17th, 2016, 2:47 pm

simsim314 wrote:Now we could ask, can we make a Rake of rakes of rakes, or more general can we make something relatively simple that shoots Rake^N ? Probably something recursive...
This idea has come up a couple of times recently. Rake^(N+1)s are really painfully exponentially harder to build than rake^N's, especially above N=2 where you either have rake outputs crashing into each other, or getting suppressed, or you have to build in some kind of rake-thinning mechanism at each level as Calcyman mentioned. So this looks to me like a challenge that's very much worth avoiding...!

With these rake-rakes which shoot out rakes in the opposite direction, we can just produce the rake-rake at a 90 degree angle from the rake-rake-rake each time, which will, since the rake-rake-rake will be out of the way of the finished rake-rake, start producing rakes, and as long as there's some sort of damage-prevention mechanism in place, we can have an ever-increasing number of glider streams, thus creating something close to cubic growth.

HartmutHolzwart · Post by **HartmutHolzwart** » August 7th, 2020, 12:24 pm

As the boundary of a finite pattern can only grow quadratically, the population growth can only be quadratically at most. Otherwise, at some point in time the boundary diamond would be too crowded with live cells and we would have sudden death through over population.

Moosey · Post by **Moosey** » August 8th, 2020, 6:19 pm

HartmutHolzwart wrote: ↑
August 7th, 2020, 12:24 pm
As the boundary of a finite pattern can only grow quadratically, the population growth can only be quadratically at most. Otherwise, at some point in time the boundary diamond would be too crowded with live cells and we would have sudden death through over population.

^
Of course it *is* possible to still make a Rake Rake Rake if you thin the streams, as dvgrn mentioned Calcyman mentoned, but that's not really satisfying

Hunting · Post by **Hunting** » August 25th, 2020, 8:24 am

New challenge: Forward rake rake.

RakeGuy1246 · Post by **RakeGuy1246** » September 5th, 2020, 2:07 pm

Hunting wrote: ↑
August 25th, 2020, 8:24 am
New challenge: Forward rake rake.

The rake producing the rakes would have to have a faster period than the LWSSes that make up the original rakes. Do you know of any rakes that have such a period?

bubblegum · Post by **bubblegum** » September 5th, 2020, 5:03 pm

RakeGuy1246 wrote: ↑
September 5th, 2020, 2:07 pm

Hunting wrote: ↑
August 25th, 2020, 8:24 am
New challenge: Forward rake rake.
The rake producing the rakes would have to have a faster period than the LWSSes that make up the original rakes. Do you know of any rakes that have such a period?

There's something in jslife, almost guaranteed.

Post by **dvgrn** » September 5th, 2020, 10:20 pm

RakeGuy1246 wrote: ↑
September 5th, 2020, 2:07 pm
The rake producing the rakes would have to have a faster period than the LWSSes that make up the original rakes. Do you know of any rakes that have such a period?

LWSSes have period 4, so you’re not going to get a faster period than that. But why is the period relevant? Maybe you mean “speed” instead of “period”?

Seems like one plausible option might be a c/10 mechanism made of fire ships — see christoph.r’s constructions for examples — that build something simple like a spacerake.

Gustone · Post by **Gustone** » September 9th, 2020, 5:06 am

Hunting wrote: ↑
August 25th, 2020, 8:24 am
New challenge: Forward rake rake.

Code: Select all

x = 1292, y = 388, rule = B3/S23
393bo7bob2o$392b3o5bo6bo$391bo4bo2b2o3bo2bo$390b3o4bobo5b2o$390b3o4bob
o5b2o$391bo4bo2b2o3bo2bo$392b3o5bo6bo$393bo7bob2o$840b3o$840b3o4b3ob2o
$838bo7b3o4bobo$844b2obo4bo2bo$844b2obo4bo2bo$395b3o440bo7b3o4bobo230b
2o$395b3o4b3ob2o432b3o4b3ob2o232b2ob2o5b3o$393bo7b3o4bobo429b3o242bo2b
2o10bo$399b2obo4bo2bo674b4o6b2o3b3o$399b2obo4bo2bo674b2o4b2o3b2o2bobo$
393bo7b3o4bobo674b2o4b2o3b2o2bobo$395b3o4b3ob2o677b4o6b2o3b3o$395b3o
446bo240bo2b2o10bo$843bobo5bo233b2ob2o5b3o$842b2obo3bo2bo2bo230b2o$
844bo3bo3bobob2o$847bo7b2ob2o384bo7bob2o$847bo7b2ob2o383b3o5bo6bo$391b
2o451bo3bo3bobob2o230b4o7bo142bo4bo2b2o3bo2bo$390b4o448b2obo3bo2bo2bo
232bo3bo6bo141b3o4bobo5b2o$389b2ob2o7b2o440bobo5bo235bo12bo2bo137b3o4b
obo5b2o$389b2o2b2o5bob5o437bo242bo3b2o5b3ob2obo136bo4bo2b2o3bo2bo$388b
3o10b2o4b2o678bo6b2o6b2ob2o136b3o5bo6bo$388b3o4b3o3bo685bo6b2o6b2ob2o
137bo7bob2o$267b2o119b3o4b3o3bo685bo3b2o5b3ob2obo$266bo2bo6bo111b3o10b
2o4b2o678bo12bo2bo$269bo6b2ob3o107b2o2b2o5bob5o681bo3bo6bo$266b3o2b2o
7b3o106b2ob2o7b2o685b4o7bo$273bo4b2o3bo106b4o455b2ob2o$273bo4b2o3bo
107b2o447b3o5bo3b4o390b3o$266b3o2b2o7b3o556bo2b3o3bo3b4o390b3o4b3ob2o$
269bo6b2ob3o90b3o464bo3bobo2b2o394bo7b3o4bobo$266bo2bo6bo97bo340b2o
122bo3bobo2b2o400b2obo4bo2bo$267b2o104bo341bobo6b2o2bo110bo2b3o3bo3b4o
230b2o162b2obo4bo2bo$554bo7bob2o148bo2b2o5b2obo2bo109b3o5bo3b4o229bo2b
o6bo148bo7b3o4bobo$553b3o5bo6bo146b2o3bo4bo4bo118b2ob2o234bo6b2ob3o
134b3o8b3o4b3ob2o$552bo4bo2b2o3bo2bo146bo5bo4bo2bobo353b3o2b2o7b3o135b
o8b3o$270b2o279b3o4bobo5b2o147bo5bo4bo2bobo360bo4b2o3bo133bo$270bobo6b
2o2bo267b3o4bobo5b2o147b2o3bo4bo4bo361bo4b2o3bo$269bo2b2o5b2obo2bo266b
o4bo2b2o3bo2bo145bo2b2o5b2obo2bo354b3o2b2o7b3o$270b2o3bo4bo4bo267b3o5b
o6bo146bobo6b2o2bo234b2o123bo6b2ob3o$270bo5bo4bo2bobo267bo7bob2o149b2o
245b2ob2o5b3o110bo2bo6bo$270bo5bo4bo2bobo675bo2b2o10bo108b2o154b2o$
270b2o3bo4bo4bo676b4o6b2o3b3o261b4o$269bo2b2o5b2obo2bo262bo413b2o4b2o
3b2o2bobo260b2ob2o7b2o$270bobo6b2o2bo263b3o168b2o242b2o4b2o3b2o2bobo
260b2o2b2o5bob5o$270b2o274bo3bo166b2ob2o5b3o226b3o3b4o6b2o3b3o259b3o
10b2o4b2o$545b3ob3o4b3o158bo2b2o10bo225bo3bo2b2o10bo261b3o4b3o3bo$546b
o3bo5b3o4b3ob2o148b4o6b2o3b3o222bo4b2ob2o5b3o264b3o4b3o3bo$546b4o4bo7b
3o4bobo145b2o4b2o3b2o2bobo228b2o274b3o10b2o4b2o$547bo12b2obo4bo2bo145b
2o4b2o3b2o2bobo505b2o2b2o5bob5o$548b2o10b2obo4bo2bo145b4o6b2o3b3o505b
2ob2o7b2o$268bo285bo7b3o4bobo145bo2b2o10bo508b4o$267bobo5bo280b3o4b3ob
2o148b2ob2o5b3o235b4o7bo265b2o$266b2obo3bo2bo2bo276b3o159b2o245bo3bo6b
o$268bo3bo3bobob2o682bo12bo2bo$271bo7b2ob2o680bo3b2o5b3ob2obo$271bo7b
2ob2o680bo6b2o6b2ob2o$268bo3bo3bobob2o682bo6b2o6b2ob2o$266b2obo3bo2bo
2bo684bo3b2o5b3ob2obo$267bobo5bo276b2o162bo247bo12bo2bo$268bo282b4o
159b2obo247bo3bo6bo$384bo7bob2o154b2ob2o7b2o150b2obo5b3ob2o236b4o7bo
112bo$383b3o5bo6bo151b2o2b2o5bob5o147b2o3bo4b2o2b2o359bo$360b2o20bo4bo
2b2o3bo2bo150b3o10b2o4b2o149b2o5bo4bo356b3o$325bo7bob2o23bobo6b2o2bo7b
3o4bobo5b2o151b3o4b3o3bo156b2o5bo4bo$149bo7bob2o140b2o21b3o5bo6bo19bo
2b2o5b2obo2bo5b3o4bobo5b2o151b3o4b3o3bo152b2o3bo4b2o2b2o$148b3o5bo6bo
136b4o19bo4bo2b2o3bo2bo20b2o3bo4bo4bo6bo4bo2b2o3bo2bo150b3o10b2o4b2o
144b2obo5b3ob2o$147bo4bo2b2o3bo2bo135b2ob2o7b2o9b3o4bobo5b2o21bo5bo4bo
2bobo6b3o5bo6bo151b2o2b2o5bob5o146b2obo245b2o$146b3o4bobo5b2o136b2o2b
2o5bob5obo3b3o4bobo5b2o21bo5bo4bo2bobo7bo7bob2o154b2ob2o7b2o152bo245bo
2bo6bo$146b3o4bobo5b2o135b3o10b2o4bo5bo4bo2b2o3bo2bo20b2o3bo4bo4bo175b
4o276b3o131bo6b2ob3o$147bo4bo2b2o3bo2bo134b3o4b3o3bo12b3o5bo6bo19bo2b
2o5b2obo2bo176b2o277b3o4b3ob2o118b3o2b2o7b3o$148b3o5bo6bo134b3o4b3o3bo
13bo7bob2o23bobo6b2o2bo434b2o19bo7b3o4bobo122bo4b2o3bo$149bo7bob2o81b
3o53b3o10b2o4b2o41b2o410b3o32b2ob2o5b3o15b2obo4bo2bo122bo4b2o3bo$244bo
54b2o2b2o5bob5o455b3o4b3ob2o22bo2b2o10bo12b2obo4bo2bo115b3o2b2o7b3o$
243bo55b2ob2o7b2o457bo7b3o4bobo19b4o6b2o3b3o4bo7b3o4bobo118bo6b2ob3o
99b2o$300b4o455b2ob2o12b2obo4bo2bo19b2o4b2o3b2o2bobo6b3o4b3ob2o118bo2b
o6bo103b2ob2o5b3o$301b2o447b3o5bo3b4o10b2obo4bo2bo19b2o4b2o3b2o2bobo6b
3o129b2o111bo2b2o10bo$749bo2b3o3bo3b4o4bo7b3o4bobo19b4o6b2o3b3o193b2o
56b4o6b2o3b3o$151b3o595bo3bobo2b2o12b3o4b3ob2o22bo2b2o10bo194b2ob2o5b
3o25b3o18b2o4b2o3b2o2bobo$135bo15b3o4b3ob2o585bo3bobo2b2o12b3o32b2ob2o
5b3o197bo2b2o10bo22b3o4b3ob2o8b2o4b2o3b2o2bobo$142bo6bo7b3o4bobo582bo
2b3o3bo3b4o42b2o186b2o19b4o6b2o3b3o18bo7b3o4bobo5b4o6b2o3b3o$136b2o4bo
bo10b2obo4bo2bo583b3o5bo3b4o191bo37bo2bo6bo11b2o4b2o3b2o2bobo24b2obo4b
o2bo5bo2b2o10bo$138bo4bo11b2obo4bo2bo592b2ob2o194bo39bo6b2ob3o6b2o4b2o
3b2o2bobo24b2obo4bo2bo5b2ob2o5b3o$149bo7b3o4bobo267b2ob2o517b3o36b3o2b
2o7b3o5b4o6b2o3b3o18bo7b3o4bobo6b2o$139b2ob2o7b3o4b3ob2o121b2o138b3o5b
o3b4o561bo4b2o3bo4bo2b2o10bo22b3o4b3ob2o$140b3o8b3o130bo2bo6bo129bo2b
3o3bo3b4o561bo4b2o3bo4b2ob2o5b3o25b3o177bo7bob2o$141bo145bo6b2ob3o124b
o3bobo2b2o412b4o144b3o2b2o7b3o6b2o214b3o5bo6bo$284b3o2b2o7b3o123bo3bob
o2b2o411bo2b3o146bo6b2ob3o200b2o20bo4bo2b2o3bo2bo$291bo4b2o3bo122bo2b
3o3bo3b4o296b2o107b3o3bo142bo2bo6bo170bo7bob2o23bobo6b2o2bo7b3o4bobo5b
2o$291bo4b2o3bo3b4o7bo108b3o5bo3b4o296b2o109bo2b3o142b2o154b2o21b3o5bo
6bo19bo2b2o5b2obo2bo5b3o4bobo5b2o$284b3o2b2o7b3o4bo3bo6bo117b2ob2o407b
3o3bobo296b4o19bo4bo2b2o3bo2bo20b2o3bo4bo4bo6bo4bo2b2o3bo2bo$147b2o
138bo6b2ob3o4bo12bo2bo524bo7b3o18bo7bob2o264b2ob2o7b2o9b3o4bobo5b2o21b
o5bo4bo2bobo6b3o5bo6bo$146b4o134bo2bo6bo9bo3b2o5b3ob2obo7bo402b2o110b
3o3bo2bo18b3o5bo6bo261b2o2b2o5bob5obo3b3o4bobo5b2o21bo5bo4bo2bobo7bo7b
ob2o$145b2ob2o7b2o99b2o25b2o17bo6b2o6b2ob2o5bobo5bo395bobo6b2o2bo101bo
bo3bo17bo4bo2b2o3bo2bo260b3o10b2o4bo5bo4bo2b2o3bo2bo20b2o3bo4bo4bo$
145b2o2b2o5bob5o94bo2bo6bo36bo6b2o6b2ob2o4b2obo3bo2bo2bo390bo2b2o5b2ob
o2bo94bo4bo4bo17b3o4bobo5b2o261b3o4b3o3bo12b3o5bo6bo19bo2b2o5b2obo2bo$
144b3o10b2o4b2o95bo6b2ob3o31bo3b2o5b3ob2obo7bo3bo3bobob2o7b2o380b2o3bo
4bo4bo93bo28b3o4bobo5b2o261b3o4b3o3bo13bo7bob2o23bobo6b2o2bo$144b3o4b
3o3bo41b2o56b3o2b2o7b3o30bo12bo2bo12bo7b2ob2o4bo2bo6bo372bo5bo4bo2bobo
4b2o86bo5bo23bo4bo2b2o3bo2bo230b2o28b3o10b2o4b2o41b2o$144b3o4b3o3bo40b
o2bo6bo36b2ob2o14bo4b2o3bo30bo3bo6bo16bo7b2ob2o7bo6b2ob3o43b2o322bo5bo
4bo2bobo3b4o85b2ob2ob2o23b3o5bo6bo230bobo6b2o2bo17b2o2b2o5bob5o$144b3o
10b2o4b2o36bo6b2ob3o22b3o5bo3b4o12bo4b2o3bo30b4o7bo13bo3bo3bobob2o6b3o
2b2o7b3o41b2ob2o5b3o312b2o3bo4bo4bo3b2ob2o7b2o78b2ob3o24bo7bob2o232bo
2b2o5b2obo2bo15b2ob2o7b2o$145b2o2b2o5bob5o15bo19b3o2b2o7b3o20bo2b3o3bo
3b4o5b3o2b2o7b3o54b2obo3bo2bo2bo15bo4b2o3bo40bo2b2o10bo308bo2b2o5b2obo
2bo3b2o2b2o5bob5o211bo7bob2o126b2o3bo4bo4bo16b4o$145b2ob2o7b2o18bobo5b
o19bo4b2o3bo19bo3bobo2b2o14bo6b2ob3o56bobo5bo19bo4b2o3bo40b4o6b2o3b3o
307bobo6b2o2bo4b3o10b2o4b2o6bo201b3o5bo6bo123bo5bo4bo2bobo16b2o$146b4o
26b2obo3bo2bo2bo15bo4b2o3bo19bo3bobo2b2o11bo2bo6bo62bo19b3o2b2o7b3o41b
2o4b2o3b2o2bobo280b2o25b2o16b3o4b3o3bo11b2obo60bo138bo4bo2b2o3bo2bo
123bo5bo4bo2bobo$147b2o29bo3bo3bobob2o6b3o2b2o7b3o20bo2b3o3bo3b4o6b2o
93bo6b2ob3o22b2o18b2o4b2o3b2o2bobo280bobo6b2o2bo31b3o4b3o3bo11b2obo5b
3ob2o47b2o10b2o126b3o4bobo5b2o124b2o3bo4bo4bo$181bo7b2ob2o7bo6b2ob3o
22b3o5bo3b4o98bo2bo6bo26b4o17b4o6b2o3b3o119bo7bob2o148bo2b2o5b2obo2bo
29b3o10b2o4b2o5b2o3bo4b2o2b2o6b2o38b2o9b2o126b3o4bobo5b2o7bo115bo2b2o
5b2obo2bo$181bo7b2ob2o4bo2bo6bo36b2ob2o101b2o33b2ob2o7b2o8bo2b2o10bo
120b3o5bo6bo87b2o57b2o3bo4bo4bo30b2o2b2o5bob5o11b2o5bo4bo5bobo6b2o2bo
166bo4bo2b2o3bo2bo4b2obo115bobo6b2o2bo$178bo3bo3bobob2o7b2o185b2o2b2o
5bob5o4b2ob2o5b3o100b2o20bo4bo2b2o3bo2bo87bobo6b2o2bo24bo7bob2o9bo5bo
4bo2bobo29b2ob2o7b2o15b2o5bo4bo4bo2b2o5b2obo2bo41b4o7bo112b3o5bo6bo4b
2obo5b3ob2o8b2o94b2o$176b2obo3bo2bo2bo195b3o10b2o4b2o3b2o75bo7bob2o23b
obo6b2o2bo7b3o4bobo5b2o87bo2b2o5b2obo2bo21b3o5bo6bo6bo5bo4bo2bobo30b4o
20b2o3bo4b2o2b2o6b2o3bo4bo4bo41bo3bo6bo113bo7bob2o8b2o3bo4b2o2b2o5b4o$
177bobo5bo199b3o4b3o3bo63b2o21b3o5bo6bo19bo2b2o5b2obo2bo5b3o4bobo5b2o
67bo20b2o3bo4bo4bo20bo4bo2b2o3bo2bo6b2o3bo4bo4bo32b2o20b2obo5b3ob2o8bo
5bo4bo2bobo39bo12bo2bo133b2o5bo4bo3b2ob2o7b2o250b2ob2o$178bo206b3o4b3o
3bo62b4o19bo4bo2b2o3bo2bo20b2o3bo4bo4bo6bo4bo2b2o3bo2bo64b2obo19bo5bo
4bo2bobo18b3o4bobo5b2o6bo2b2o5b2obo2bo54b2obo19bo5bo4bo2bobo39bo3b2o5b
3ob2obo131b2o5bo4bo3b2o2b2o5bob5o97b2o138b3o5bo3b4o$385b3o10b2o4b2o54b
2ob2o7b2o9b3o4bobo5b2o21bo5bo4bo2bobo6b3o5bo6bo64b2obo5b3ob2o8bo5bo4bo
2bobo18b3o4bobo5b2o7bobo6b2o2bo58bo20b2o3bo4bo4bo40bo6b2o6b2ob2o79b2o
45b2o3bo4b2o2b2o3b3o10b2o4b2o94bo2bo6bo129bo2b3o3bo3b4o$386b2o2b2o5bob
5o56b2o2b2o5bob5obo3b3o4bobo5b2o21bo5bo4bo2bobo7bo7bob2o68b2o3bo4b2o2b
2o6b2o3bo4bo4bo20bo4bo2b2o3bo2bo6b2o90bo2b2o5b2obo2bo40bo6b2o6b2ob2o
78b2ob2o5b3o34b2obo5b3ob2o5b3o4b3o3bo13bo7bob2o79bo6b2ob3o124bo3bobo2b
2o$386b2ob2o7b2o59b3o10b2o4bo5bo4bo2b2o3bo2bo20b2o3bo4bo4bo92b2o5bo4bo
4bo2b2o5b2obo2bo21b3o5bo6bo99bobo6b2o2bo42bo3b2o5b3ob2obo79bo2b2o10bo
31b2obo16b3o4b3o3bo12b3o5bo6bo43bo29b3o2b2o7b3o123bo3bobo2b2o$387b4o
68b3o4b3o3bo12b3o5bo6bo19bo2b2o5b2obo2bo92b2o5bo4bo5bobo6b2o2bo24bo7bo
b2o102b2o45b2ob2o4bo12bo2bo23b2o56b4o6b2o3b3o31bo17b3o10b2o4bo5bo4bo2b
2o3bo2bo42bobo5bo29bo4b2o3bo122bo2b3o3bo3b4o$388b2o69b3o4b3o3bo13bo7bo
b2o23bobo6b2o2bo90b2o3bo4b2o2b2o6b2o188b3o5bo3b4o3bo3bo6bo26b2ob2o5b3o
25b3o18b2o4b2o3b2o2bobo50b2o2b2o5bob5obo3b3o4bobo5b2o42b2obo3bo2bo2bo
25bo4b2o3bo3b4o7bo108b3o5bo3b4o$459b3o10b2o4b2o41b2o101b2obo5b3ob2o
197bo2b3o3bo3b4o3b4o7bo26bo2b2o10bo22b3o4b3ob2o8b2o4b2o3b2o2bobo50b2ob
2o7b2o9b3o4bobo5b2o44bo3bo3bobob2o16b3o2b2o7b3o4bo3bo6bo117b2ob2o$301b
o158b2o2b2o5bob5o146b2obo208bo3bobo2b2o26b2o19b4o6b2o3b3o18bo7b3o4bobo
5b4o6b2o3b3o51b4o19bo4bo2b2o3bo2bo46bo7b2ob2o17bo6b2ob3o4bo12bo2bo$
160b2o137b2obo157b2ob2o7b2o152bo209bo3bobo2b2o25bo2bo6bo11b2o4b2o3b2o
2bobo24b2obo4bo2bo5bo2b2o10bo54b2o21b3o5bo6bo46bo7b2ob2o14bo2bo6bo9bo
3b2o5b3ob2obo7bo$159b4o136b2obo5b3ob2o147b4o371bo2b3o3bo3b4o22bo6b2ob
3o6b2o4b2o3b2o2bobo24b2obo4bo2bo5b2ob2o5b3o81bo7bob2o24b2o20bo3bo3bobo
b2o17b2o17bo6b2o6b2ob2o5bobo5bo$158b2ob2o7b2o128b2o3bo4b2o2b2o146b2o
373b3o5bo3b4o19b3o2b2o7b3o5b4o6b2o3b3o18bo7b3o4bobo6b2o126bo2bo6bo10b
2obo3bo2bo2bo38bo6b2o6b2ob2o4b2obo3bo2bo2bo$158b2o2b2o5bob5o128b2o5bo
4bo529b2ob2o28bo4b2o3bo4bo2b2o10bo22b3o4b3ob2o140bo6b2ob3o6bobo5bo42bo
3b2o5b3ob2obo7bo3bo3bobob2o7b2o$157b3o10b2o4b2o126b2o5bo4bo562bo4b2o3b
o4b2ob2o5b3o25b3o147b3o2b2o7b3o6bo49bo12bo2bo12bo7b2ob2o4bo2bo6bo$157b
3o4b3o3bo129b2o3bo4b2o2b2o410b2o144b3o2b2o7b3o6b2o192bo4b2o3bo56bo3bo
6bo16bo7b2ob2o7bo6b2ob3o43b2o$157b3o4b3o3bo128b2obo5b3ob2o414bo146bo6b
2ob3o201bo4b2o3bo56b4o7bo13bo3bo3bobob2o6b3o2b2o7b3o41b2ob2o5b3o$157b
3o10b2o4b2o4b3o114b2obo422bo3bo18b2o122bo2bo6bo199b3o2b2o7b3o80b2obo3b
o2bo2bo15bo4b2o3bo40bo2b2o10bo$158b2o2b2o5bob5o6b3o4b3ob2o106bo422bo3b
2o17bo2bo6bo115b2o210bo6b2ob3o82bobo5bo19bo4b2o3bo40b4o6b2o3b3o$158b2o
b2o7b2o8bo7b3o4bobo6b2o389b2ob2o127bobo20bo6b2ob3o319bo2bo6bo88bo19b3o
2b2o7b3o41b2o4b2o3b2o2bobo$159b4o23b2obo4bo2bo5b2ob2o5b3o230b2o138b3o
5bo3b4o16b2ob2o103b3o18b3o2b2o7b3o319b2o119bo6b2ob3o42b2o4b2o3b2o2bobo
$160b2o24b2obo4bo2bo5bo2b2o10bo7b2o217bo2bo6bo129bo2b3o3bo3b4o7b3o5bo
3b4o101b2o26bo4b2o3bo436bo2bo6bo47b4o6b2o3b3o$180bo7b3o4bobo5b4o6b2o3b
3o4b4o219bo6b2ob3o124bo3bobo2b2o12bo2b3o3bo3b4o104b2o23bo4b2o3bo437b2o
55bo2b2o10bo$182b3o4b3ob2o8b2o4b2o3b2o2bobo3b2ob2o7b2o207b3o2b2o7b3o
123bo3bobo2b2o12bo3bobo2b2o105bo3b3o16b3o2b2o7b3o495b2ob2o5b3o$182b3o
18b2o4b2o3b2o2bobo3b2o2b2o5bob5o210bo4b2o3bo122bo2b3o3bo3b4o6bo3bobo2b
2o12bo91b7o20bo6b2ob3o497b2o$203b4o6b2o3b3o2b3o10b2o4b2o42bo7bob2o154b
o4b2o3bo3b4o7bo108b3o5bo3b4o6bo2b3o3bo3b4o5bobo5bo87b2o5bo13bo2bo6bo
238b2o$203bo2b2o10bo4b3o4b3o3bo48b3o5bo6bo144b3o2b2o7b3o4bo3bo6bo117b
2ob2o9b3o5bo3b4o4b2obo3bo2bo2bo80b2ob3o3b2o14b2o246bobo6b2o2bo$203b2ob
2o5b3o7b3o4b3o3bo47bo4bo2b2o3bo2bo147bo6b2ob3o4bo12bo2bo136b2ob2o8bo3b
o3bobob2o6b4o7bo61bo3b3o264bo2b2o5b2obo2bo$204b2o17b3o10b2o4b2o39b3o4b
obo5b2o145bo2bo6bo9bo3b2o5b3ob2obo7bo142bo7b2ob2o4bo3bo6bo62b2o131bo7b
ob2o126b2o3bo4bo4bo$140bo7bob2o72b2o2b2o5bob5o41b3o4bobo5b2o146b2o17bo
6b2o6b2ob2o5bobo5bo135bo7b2ob2o3bo12bo2bo59bobo2bo125b3o5bo6bo123bo5bo
4bo2bobo$139b3o5bo6bo69b2ob2o7b2o46bo4bo2b2o3bo2bo164bo6b2o6b2ob2o4b2o
bo3bo2bo2bo128bo3bo3bobob2o5bo3b2o5b3ob2obo60b2o125bo4bo2b2o3bo2bo123b
o5bo4bo2bobo$116b2o20bo4bo2b2o3bo2bo70b4o56b3o5bo6bo164bo3b2o5b3ob2obo
7bo3bo3bobob2o7b2o115b2obo3bo2bo2bo7bo6b2o6b2ob2o14b2ob2o166b3o4bobo5b
2o124b2o3bo4bo4bo203b3o$81bo7bob2o23bobo6b2o2bo7b3o4bobo5b2o72b2o58bo
7bob2o167bo12bo2bo12bo7b2ob2o4bo2bo6bo108bobo5bo11bo6b2o6b2ob2o5b3o5bo
3b4o164b3o4bobo5b2o7bo115bo2b2o5b2obo2bo203b3o4b3ob2o$57b2o21b3o5bo6bo
19bo2b2o5b2obo2bo5b3o4bobo5b2o312bo3bo6bo16bo7b2ob2o7bo6b2ob3o43b2o59b
o18bo3b2o5b3ob2obo5bo2b3o3bo3b4o42b3o120bo4bo2b2o3bo2bo4b2obo115bobo6b
2o2bo203bo7b3o4bobo$56b4o19bo4bo2b2o3bo2bo20b2o3bo4bo4bo6bo4bo2b2o3bo
2bo311b4o7bo13bo3bo3bobob2o6b3o2b2o7b3o41b2ob2o5b3o68bo12bo2bo7bo3bobo
2b2o48b3o4b3ob2o111b3o5bo6bo4b2obo5b3ob2o8b2o94b2o221b2obo4bo2bo$55b2o
b2o7b2o9b3o4bobo5b2o21bo5bo4bo2bobo6b3o5bo6bo334b2obo3bo2bo2bo15bo4b2o
3bo40bo2b2o10bo66bo3bo6bo11bo3bobo2b2o46bo7b3o4bobo109bo7bob2o8b2o3bo
4b2o2b2o5b4o316b2obo4bo2bo$55b2o2b2o5bob5obo3b3o4bobo5b2o21bo5bo4bo2bo
bo7bo7bob2o338bobo5bo19bo4b2o3bo40b4o6b2o3b3o64b4o7bo11bo2b3o3bo3b4o
46b2obo4bo2bo133b2o5bo4bo3b2ob2o7b2o301bo7b3o4bobo$54b3o10b2o4bo5bo4bo
2b2o3bo2bo20b2o3bo4bo4bo359bo19b3o2b2o7b3o41b2o4b2o3b2o2bobo88b3o5bo3b
4o46b2obo4bo2bo133b2o5bo4bo3b2o2b2o5bob5o299b3o4b3ob2o$54b3o4b3o3bo12b
3o5bo6bo19bo2b2o5b2obo2bo382bo6b2ob3o22b2o18b2o4b2o3b2o2bobo97b2ob2o
42bo7b3o4bobo129b2o3bo4b2o2b2o3b3o10b2o4b2o297b3o$54b3o4b3o3bo13bo7bob
2o23bobo6b2o2bo109b2o270bo2bo6bo26b4o17b4o6b2o3b3o146b3o4b3ob2o131b2ob
o5b3ob2o5b3o4b3o3bo13bo7bob2o$54b3o10b2o4b2o41b2o121bobo6b2o2bo259b2o
33b2ob2o7b2o8bo2b2o10bo148b3o141b2obo16b3o4b3o3bo12b3o5bo6bo43bo$55b2o
2b2o5bob5o165bo2b2o5b2obo2bo292b2o2b2o5bob5o4b2ob2o5b3o297bo17b3o10b2o
4bo5bo4bo2b2o3bo2bo42bobo5bo$55b2ob2o7b2o170b2o3bo4bo4bo291b3o10b2o4b
2o3b2o326b2o2b2o5bob5obo3b3o4bobo5b2o42b2obo3bo2bo2bo$56b4o179bo5bo4bo
2bobo290b3o4b3o3bo338b2ob2o7b2o9b3o4bobo5b2o44bo3bo3bobob2o$57b2o180bo
5bo4bo2bobo290b3o4b3o3bo339b4o19bo4bo2b2o3bo2bo46bo7b2ob2o$239b2o3bo4b
o4bo291b3o10b2o4b2o333b2o21b3o5bo6bo46bo7b2ob2o$238bo2b2o5b2obo2bo292b
2o2b2o5bob5o359bo7bob2o46bo3bo3bobob2o$239bobo6b2o2bo294b2ob2o7b2o126b
2o291b2obo3bo2bo2bo$239b2o307b4o134b2ob2o5b3o282bobo5bo$549b2o135bo2b
2o10bo280bo$686b4o6b2o3b3o$190b2ob2o491b2o4b2o3b2o2bobo$41b2o138b3o5bo
3b4o489b2o4b2o3b2o2bobo$40bo2bo6bo129bo2b3o3bo3b4o489b4o6b2o3b3o$43bo
6b2ob3o124bo3bobo2b2o76bo29bo388bo2b2o10bo$40b3o2b2o7b3o123bo3bobo2b2o
77b2o26bo389b2ob2o5b3o235b4o7bo$47bo4b2o3bo122bo2b3o3bo3b4o70b2o27b3o
388b2o245bo3bo6bo$47bo4b2o3bo3b4o7bo108b3o5bo3b4o736bo12bo2bo$40b3o2b
2o7b3o4bo3bo6bo117b2ob2o738bo3b2o5b3ob2obo$43bo6b2ob3o4bo12bo2bo856bo
6b2o6b2ob2o$40bo2bo6bo9bo3b2o5b3ob2obo7bo846bo6b2o6b2ob2o$41b2o17bo6b
2o6b2ob2o5bobo5bo839bo3b2o5b3ob2obo$60bo6b2o6b2ob2o4b2obo3bo2bo2bo835b
o12bo2bo$60bo3b2o5b3ob2obo7bo3bo3bobob2o7b2o825bo3bo6bo$60bo12bo2bo12b
o7b2ob2o4bo2bo6bo817b4o7bo$61bo3bo6bo16bo7b2ob2o7bo6b2ob3o43b2o$61b4o
7bo13bo3bo3bobob2o6b3o2b2o7b3o41b2ob2o5b3o$84b2obo3bo2bo2bo15bo4b2o3bo
40bo2b2o10bo$85bobo5bo19bo4b2o3bo40b4o6b2o3b3o401b2o8bo$86bo19b3o2b2o
7b3o41b2o4b2o3b2o2bobo400b4o8bo321b2o5b4o$109bo6b2ob3o22b2o18b2o4b2o3b
2o2bobo400b2ob2o3bo3bo319b2ob2o3bo3bo$106bo2bo6bo26b4o17b4o6b2o3b3o
402b2o5b4o319b4o8bo$107b2o33b2ob2o7b2o8bo2b2o10bo735b2o8bo$142b2o2b2o
5bob5o4b2ob2o5b3o$141b3o10b2o4b2o3b2o$141b3o4b3o3bo$141b3o4b3o3bo$141b
3o10b2o4b2o761b4o$142b2o2b2o5bob5o762bo3bo$142b2ob2o7b2o770bo$143b4o
778bo$144b2o3$946b2o$295b2o649b2o$294b2o$296bo4$462b2o448b2o$326b2o
133b4o446b4o$326bobo6b2o2bo120b2ob2o7b2o436b2ob2o7b2o$325bo2b2o5b2obo
2bo118b2o2b2o5bob5o432b2o2b2o5bob5o$326b2o3bo4bo4bo117b3o10b2o4b2o429b
3o10b2o4b2o32bo$326bo5bo4bo2bobo116b3o4b3o3bo436b3o4b3o3bo38b2o$326bo
5bo4bo2bobo116b3o4b3o3bo436b3o4b3o3bo38bobo$326b2o3bo4bo4bo6bo110b3o
10b2o4b2o429b3o10b2o4b2o2b2o$325bo2b2o5b2obo2bo4b2obo110b2o2b2o5bob5o
432b2o2b2o5bob5o3bobo$326bobo6b2o2bo6b2obo5b3ob2o99b2ob2o7b2o300b2o
134b2ob2o7b2o9bo$289b3o34b2o19b2o3bo4b2o2b2o98b4o308b2ob2o5b3o125b4o$
289b3o4b3ob2o49b2o5bo4bo98b2o309bo2b2o10bo123b2o$287bo7b3o4bobo46b2o5b
o4bo409b4o6b2o3b3o$276b2ob2o12b2obo4bo2bo42b2o3bo4b2o2b2o410b2o4b2o3b
2o2bobo$267b3o5bo3b4o10b2obo4bo2bo41b2obo5b3ob2o412b2o4b2o3b2o2bobo$
244b2o20bo2b3o3bo3b4o4bo7b3o4bobo41b2obo423b4o6b2o3b3o4b2o$243bo2bo6bo
12bo3bobo2b2o12b3o4b3ob2o46bo160bo263bo2b2o10bo5bo2bo6bo154bo$81bo164b
o6b2ob3o7bo3bobo2b2o12b3o215b2obo227bo34b2ob2o5b3o11bo6b2ob3o147b2obo$
80bobo5bo154b3o2b2o7b3o6bo2b3o3bo3b4o26b2o196b2obo5b3ob2o215bobo5bo28b
2o18b3o2b2o7b3o146b2obo5b3ob2o$79b2obo3bo2bo2bo157bo4b2o3bo6b3o5bo3b4o
25bobo139b3o55b2o3bo4b2o2b2o212b2obo3bo2bo2bo51bo4b2o3bo88b3o55b2o3bo
4b2o2b2o$81bo3bo3bobob2o155bo4b2o3bo15b2ob2o9bo19bo139b3o4b3ob2o49b2o
5bo4bo213bo3bo3bobob2o49bo4b2o3bo88b3o4b3ob2o49b2o5bo4bo$84bo7b2ob2o
126b3o17b3o2b2o7b3o32bo155bo7b3o4bobo46b2o5bo4bo191bo7bob2o13bo7b2ob2o
40b3o2b2o7b3o87bo7b3o4bobo46b2o5bo4bo$84bo7b2ob2o126b3o4b3ob2o10bo6b2o
b3o30bo3bo68b2o73b2ob2o12b2obo4bo2bo42b2o3bo4b2o2b2o191b3o5bo6bo10bo7b
2ob2o43bo6b2ob3o77b2ob2o12b2obo4bo2bo42b2o3bo4b2o2b2o$81bo3bo3bobob2o
126bo7b3o4bobo4bo2bo6bo34b2o2bo68b2ob2o5b3o54b3o5bo3b4o10b2obo4bo2bo
41b2obo5b3ob2o170b2o20bo4bo2b2o3bo2bo7bo3bo3bobob2o42bo2bo6bo73b3o5bo
3b4o10b2obo4bo2bo41b2obo5b3ob2o$79b2obo3bo2bo2bo134b2obo4bo2bo5b2o44bo
70bo2b2o10bo28b2o20bo2b3o3bo3b4o4bo7b3o4bobo41b2obo181bobo6b2o2bo7b3o
4bobo5b2o6b2obo3bo2bo2bo45b2o58b2o20bo2b3o3bo3b4o4bo7b3o4bobo41b2obo$
80bobo5bo138b2obo4bo2bo52b2o68b4o6b2o3b3o25bo2bo6bo12bo3bobo2b2o12b3o
4b3ob2o46bo181bo2b2o5b2obo2bo5b3o4bobo5b2o7bobo5bo108bo2bo6bo12bo3bobo
2b2o12b3o4b3ob2o46bo$81bo139bo7b3o4bobo52b3o67b2o4b2o3b2o2bobo28bo6b2o
b3o7bo3bobo2b2o12b3o239b2o3bo4bo4bo6bo4bo2b2o3bo2bo7bo118bo6b2ob3o7bo
3bobo2b2o12b3o$223b3o4b3ob2o54b4o67b2o4b2o3b2o2bobo25b3o2b2o7b3o6bo2b
3o3bo3b4o248bo5bo4bo2bobo6b3o5bo6bo123b3o2b2o7b3o6bo2b3o3bo3b4o$223b3o
135b4o6b2o3b3o32bo4b2o3bo6b3o5bo3b4o228bo19bo5bo4bo2bobo7bo7bob2o133bo
4b2o3bo6b3o5bo3b4o$361bo2b2o10bo34bo4b2o3bo15b2ob2o229bobo5bo12b2o3bo
4bo4bo153bo4b2o3bo15b2ob2o$290bobo68b2ob2o5b3o10b3o17b3o2b2o7b3o249b2o
bo3bo2bo2bo7bo2b2o5b2obo2bo101b4o7bo13b3o17b3o2b2o7b3o$289b2ob2o68b2o
20b3o4b3ob2o10bo6b2ob3o103b2o147bo3bo3bobob2o6bobo6b2o2bo103bo3bo6bo
13b3o4b3ob2o10bo6b2ob3o103b2o$124b4o7bo152bobob2o88bo7b3o4bobo4bo2bo6b
o107b2ob2o5b3o140bo7b2ob2o4b2o114bo12bo2bo7bo7b3o4bobo4bo2bo6bo107b2ob
2o5b3o$124bo3bo6bo151b2ob4o94b2obo4bo2bo5b2o115bo2b2o10bo137bo7b2ob2o
120bo3b2o5b3ob2obo11b2obo4bo2bo5b2o115bo2b2o10bo$67b2o54bo12bo2bo149b
5o94b2obo4bo2bo122b4o6b2o3b3o132bo3bo3bobob2o122bo6b2o6b2ob2o10b2obo4b
o2bo122b4o6b2o3b3o$67bobo6b2o2bo42bo3b2o5b3ob2obo146b2o2bo89bo7b3o4bob
o122b2o4b2o3b2o2bobo130b2obo3bo2bo2bo124bo6b2o6b2ob2o4bo7b3o4bobo122b
2o4b2o3b2o2bobo$66bo2b2o5b2obo2bo40bo6b2o6b2ob2o146b3o92b3o4b3ob2o125b
2o4b2o3b2o2bobo131bobo5bo128bo3b2o5b3ob2obo7b3o4b3ob2o125b2o4b2o3b2o2b
obo$46bo20b2o3bo4bo4bo40bo6b2o6b2ob2o147bo93b3o135b4o6b2o3b3o132bo135b
o12bo2bo9b3o135b4o6b2o3b3o$44b2obo19bo5bo4bo2bobo39bo3b2o5b3ob2obo97b
2o281bo2b2o10bo271bo3bo6bo151bo2b2o10bo$22b2o20b2obo5b3ob2o8bo5bo4bo2b
obo39bo12bo2bo99bobo6b2o2bo269b2ob2o5b3o274b4o7bo151b2ob2o5b3o$21b4o
20b2o3bo4b2o2b2o6b2o3bo4bo4bo41bo3bo6bo102bo2b2o5b2obo2bo268b2o448b2o$
20b2ob2o7b2o15b2o5bo4bo4bo2b2o5b2obo2bo41b4o7bo103b2o3bo4bo4bo5b4o7bo
27bo$20b2o2b2o5bob5o11b2o5bo4bo5bobo6b2o2bo158bo5bo4bo2bobo4bo3bo6bo
26bobo5bo$19b3o10b2o4b2o5b2o3bo4b2o2b2o6b2o170bo5bo4bo2bobo3bo12bo2bo
21b2obo3bo2bo2bo$19b3o4b3o3bo11b2obo5b3ob2o180b2o3bo4bo4bo4bo3b2o5b3ob
2obo21bo3bo3bobob2o6b4o7bo281b3o$b2o16b3o4b3o3bo11b2obo190bo2b2o5b2obo
2bo4bo6b2o6b2ob2o23bo7b2ob2o4bo3bo6bo281b3o4b3ob2o$bobo6b2o2bo4b3o10b
2o4b2o6bo192bobo6b2o2bo6bo6b2o6b2ob2o23bo7b2ob2o3bo12bo2bo275bo7b3o4bo
bo59b2o$o2b2o5b2obo2bo3b2o2b2o5bob5o201b2o18bo3b2o5b3ob2obo21bo3bo3bob
ob2o5bo3b2o5b3ob2obo63b2o214b2obo4bo2bo58b2ob2o5b3o151b2o$b2o3bo4bo4bo
3b2ob2o7b2o108bo7bob2o105bo12bo2bo21b2obo3bo2bo2bo7bo6b2o6b2ob2o62bobo
6b2o2bo202b2obo4bo2bo3bo2bo51bo2b2o10bo7b2o139bobo6b2o2bo$bo5bo4bo2bob
o3b4o116b3o5bo6bo103bo3bo6bo26bobo5bo11bo6b2o6b2ob2o61bo2b2o5b2obo2bo
194bo7b3o4bobo2bo55b4o6b2o3b3o4b4o35bo101bo2b2o5b2obo2bo$bo5bo4bo2bobo
4b2o116bo4bo2b2o3bo2bo103b4o7bo27bo18bo3b2o5b3ob2obo63b2o3bo4bo4bo5b4o
7bo27bo151b3o4b3ob2o17b2ob2o39b2o4b2o3b2o2bobo3b2ob2o7b2o24b2obo101b2o
3bo4bo4bo5b4o7bo27bo$b2o3bo4bo4bo122b3o4bobo5b2o162bo12bo2bo65bo5bo4bo
2bobo4bo3bo6bo26bobo5bo105b4o7bo27b3o18b3o5bo3b4o37b2o4b2o3b2o2bobo3b
2o2b2o5bob5o20b2obo5b3ob2o8b2o22b2o56bo5bo4bo2bobo4bo3bo6bo26bobo5bo$o
2b2o5b2obo2bo122b3o4bobo5b2o163bo3bo6bo69bo5bo4bo2bobo3bo12bo2bo21b2ob
o3bo2bo2bo101bo3bo6bo47bo2b3o3bo3b4o37b4o6b2o3b3o2b3o10b2o4b2o19b2o3bo
4b2o2b2o5b4o20bobo56bo5bo4bo2bobo3bo12bo2bo21b2obo3bo2bo2bo$bobo6b2o2b
o125bo4bo2b2o3bo2bo162b4o7bo69b2o3bo4bo4bo4bo3b2o5b3ob2obo21bo3bo3bobo
b2o6b4o7bo80bo12bo2bo39bo3bo3bobo2b2o43bo2b2o10bo4b3o4b3o3bo30b2o5bo4b
o3b2ob2o7b2o13bo56b2o3bo4bo4bo4bo3b2o5b3ob2obo21bo3bo3bobob2o6b4o7bo$b
2o138b3o5bo6bo242bo2b2o5b2obo2bo4bo6b2o6b2ob2o23bo7b2ob2o4bo3bo6bo60b
2o18bo3b2o5b3ob2obo37bo3bo3bobo2b2o43b2ob2o5b3o7b3o4b3o3bo30b2o5bo4bo
3b2o2b2o5bob5o65bo2b2o5b2obo2bo4bo6b2o6b2ob2o23bo7b2ob2o4bo3bo6bo$142b
o7bob2o246bobo6b2o2bo6bo6b2o6b2ob2o23bo7b2ob2o3bo12bo2bo56bobo6b2o2bo
6bo6b2o6b2ob2o40bo2b3o3bo3b4o38b2o17b3o10b2o4b2o19b2o3bo4b2o2b2o3b3o
10b2o4b2o64bobo6b2o2bo6bo6b2o6b2ob2o23bo7b2ob2o3bo12bo2bo$400b2o18bo3b
2o5b3ob2obo21bo3bo3bobob2o5bo3b2o5b3ob2obo53bo2b2o5b2obo2bo4bo6b2o6b2o
b2o41b3o5bo3b4o58b2o2b2o5bob5o20b2obo5b3ob2o5b3o4b3o3bo71b2o18bo3b2o5b
3ob2obo21bo3bo3bobob2o5bo3b2o5b3ob2obo115b2ob2o$420bo12bo2bo21b2obo3bo
2bo2bo7bo6b2o6b2ob2o53b2o3bo4bo4bo4bo3b2o5b3ob2obo51b2ob2o60b2ob2o7b2o
24b2obo16b3o4b3o3bo91bo12bo2bo21b2obo3bo2bo2bo7bo6b2o6b2ob2o105b3o5bo
3b4o$421bo3bo6bo26bobo5bo11bo6b2o6b2ob2o32bo7bob2o9bo5bo4bo2bobo3bo12b
o2bo41bo77b4o35bo17b3o10b2o4b2o85bo3bo6bo26bobo5bo11bo6b2o6b2ob2o104bo
2b3o3bo3b4o$229b2o190b4o7bo27bo18bo3b2o5b3ob2obo32b3o5bo6bo6bo5bo4bo2b
obo4bo3bo6bo46bo2bo74b2o55b2o2b2o5bob5o87b4o7bo27bo18bo3b2o5b3ob2obo
105bo3bobo2b2o$229bobo6b2o2bo236bo12bo2bo33bo4bo2b2o3bo2bo6b2o3bo4bo4b
o5b4o7bo181b2ob2o7b2o149bo12bo2bo107bo3bobo2b2o$228bo2b2o5b2obo2bo235b
o3bo6bo36b3o4bobo5b2o6bo2b2o5b2obo2bo199b4o159bo3bo6bo111bo2b3o3bo3b4o
3b4o7bo$229b2o3bo4bo4bo235b4o7bo15b4o7bo9b3o4bobo5b2o7bobo6b2o2bo202b
2o160b4o7bo112b3o5bo3b4o3bo3bo6bo$229bo5bo4bo2bobo261bo3bo6bo10bo4bo2b
2o3bo2bo6b2o462b2o45b2ob2o4bo12bo2bo$27b2ob2o197bo5bo4bo2bobo260bo12bo
2bo7b3o5bo6bo103bo366bobo6b2o2bo42bo3b2o5b3ob2obo$18b3o5bo3b4o195b2o3b
o4bo4bo6bo254bo3b2o5b3ob2obo6bo7bob2o105bobo5bo358bo2b2o5b2obo2bo40bo
6b2o6b2ob2o$17bo2b3o3bo3b4o42b2o150bo2b2o5b2obo2bo4b2obo253bo6b2o6b2ob
2o121b2obo3bo2bo2bo334bo20b2o3bo4bo4bo40bo6b2o6b2ob2o$17bo3bobo2b2o12b
3o32b2ob2o5b3o141bobo6b2o2bo6b2obo5b3ob2o242bo6b2o6b2ob2o123bo3bo3bobo
b2o244bo85b2obo19bo5bo4bo2bobo39bo3b2o5b3ob2obo$17bo3bobo2b2o12b3o4b3o
b2o22bo2b2o10bo101b3o34b2o19b2o3bo4b2o2b2o240bo3b2o5b3ob2obo127bo7b2ob
2o243b2o61b2o20b2obo5b3ob2o8bo5bo4bo2bobo39bo12bo2bo$17bo2b3o3bo3b4o4b
o7b3o4bobo19b4o6b2o3b3o99b3o4b3ob2o49b2o5bo4bo239bo12bo2bo129bo7b2ob2o
242b2o61b4o20b2o3bo4b2o2b2o6b2o3bo4bo4bo41bo3bo6bo$18b3o5bo3b4o10b2obo
4bo2bo19b2o4b2o3b2o2bobo6b3o88bo7b3o4bobo46b2o5bo4bo240bo3bo6bo130bo3b
o3bobob2o306b2ob2o7b2o15b2o5bo4bo4bo2b2o5b2obo2bo41b4o7bo$27b2ob2o12b
2obo4bo2bo19b2o4b2o3b2o2bobo6b3o4b3ob2o67b2ob2o12b2obo4bo2bo42b2o3bo4b
2o2b2o241b4o7bo128b2obo3bo2bo2bo308b2o2b2o5bob5o11b2o5bo4bo5bobo6b2o2b
o$38bo7b3o4bobo19b4o6b2o3b3o4bo7b3o4bobo55b3o5bo3b4o10b2obo4bo2bo41b2o
bo5b3ob2o384bobo5bo311b3o10b2o4b2o5b2o3bo4b2o2b2o6b2o$40b3o4b3ob2o22bo
2b2o10bo12b2obo4bo2bo32b2o20bo2b3o3bo3b4o4bo7b3o4bobo41b2obo396bo318b
3o4b3o3bo11b2obo5b3ob2o$40b3o32b2ob2o5b3o15b2obo4bo2bo31bo2bo6bo12bo3b
obo2b2o12b3o4b3ob2o46bo698b2o16b3o4b3o3bo11b2obo$76b2o19bo7b3o4bobo34b
o6b2ob3o7bo3bobo2b2o12b3o755bobo6b2o2bo4b3o10b2o4b2o6bo$99b3o4b3ob2o
34b3o2b2o7b3o6bo2b3o3bo3b4o763bo2b2o5b2obo2bo3b2o2b2o5bob5o$99b3o51bo
4b2o3bo6b3o5bo3b4o764b2o3bo4bo4bo3b2ob2o7b2o108bo7bob2o$153bo4b2o3bo
15b2ob2o766bo5bo4bo2bobo3b4o116b3o5bo6bo$126b3o17b3o2b2o7b3o787bo5bo4b
o2bobo4b2o116bo4bo2b2o3bo2bo$115b2o9b3o4b3ob2o10bo6b2ob3o103b2o683b2o
3bo4bo4bo122b3o4bobo5b2o$116b2o6bo7b3o4bobo4bo2bo6bo107b2ob2o5b3o248b
3o421bo2b2o5b2obo2bo122b3o4bobo5b2o$115bo14b2obo4bo2bo5b2o115bo2b2o10b
o245b3o4b3ob2o45b2o365bobo6b2o2bo125bo4bo2b2o3bo2bo$130b2obo4bo2bo122b
4o6b2o3b3o241bo7b3o4bobo7bo33b4o364b2o138b3o5bo6bo$124bo7b3o4bobo122b
2o4b2o3b2o2bobo247b2obo4bo2bo5b2obo31b2ob2o7b2o496bo7bob2o$126b3o4b3ob
2o125b2o4b2o3b2o2bobo203b2o42b2obo4bo2bo5b2obo5b3ob2o20b2o2b2o5bob5o$
126b3o135b4o6b2o3b3o47b2o155b2o35bo7b3o4bobo6b2o3bo4b2o2b2o17b3o10b2o
4b2o6bo$264bo2b2o10bo49bobo6b2o2bo142bo39b3o4b3ob2o13b2o5bo4bo16b3o4b
3o3bo11b2obo$264b2ob2o5b3o51bo2b2o5b2obo2bo180b3o23b2o5bo4bo16b3o4b3o
3bo11b2obo5b3ob2o$265b2o62b2o3bo4bo4bo202b2o3bo4b2o2b2o17b3o10b2o4b2o
5b2o3bo4b2o2b2o$329bo5bo4bo2bobo200b2obo5b3ob2o20b2o2b2o5bob5o11b2o5bo
4bo$329bo5bo4bo2bobo200b2obo31b2ob2o7b2o15b2o5bo4bo$329b2o3bo4bo4bo
203bo33b4o20b2o3bo4b2o2b2o$328bo2b2o5b2obo2bo238b2o20b2obo5b3ob2o356b
2ob2o$329bobo6b2o2bo262b2obo168b2o188b3o5bo3b4o$329b2o159b2o115bo168b
2ob2o5b3o151b2o24bo2b3o3bo3b4o42b2o$142b2o346bobo6b2o2bo272bo2b2o10bo
148bobo6b2o2bo12bo3bobo2b2o12b3o32b2ob2o5b3o$142bobo6b2o2bo333bo2b2o5b
2obo2bo270b4o6b2o3b3o145bo2b2o5b2obo2bo10bo3bobo2b2o12b3o4b3ob2o22bo2b
2o10bo$141bo2b2o5b2obo2bo332b2o3bo4bo4bo270b2o4b2o3b2o2bobo146b2o3bo4b
o4bo10bo2b3o3bo3b4o4bo7b3o4bobo19b4o6b2o3b3o$142b2o3bo4bo4bo5b4o7bo27b
o287bo5bo4bo2bobo269b2o4b2o3b2o2bobo146bo5bo4bo2bobo10b3o5bo3b4o10b2ob
o4bo2bo19b2o4b2o3b2o2bobo6b3o$142bo5bo4bo2bobo4bo3bo6bo26bobo5bo122b2o
156bo5bo4bo2bobo269b4o6b2o3b3o146bo5bo4bo2bobo19b2ob2o12b2obo4bo2bo19b
2o4b2o3b2o2bobo6b3o4b3ob2o$142bo5bo4bo2bobo3bo12bo2bo21b2obo3bo2bo2bo
117b4o155b2o3bo4bo4bo270bo2b2o10bo148b2o3bo4bo4bo31bo7b3o4bobo19b4o6b
2o3b3o4bo7b3o4bobo$142b2o3bo4bo4bo4bo3b2o5b3ob2obo21bo3bo3bobob2o6b4o
7bo96b2ob2o7b2o145bo2b2o5b2obo2bo270b2ob2o5b3o150bo2b2o5b2obo2bo33b3o
4b3ob2o22bo2b2o10bo12b2obo4bo2bo$141bo2b2o5b2obo2bo4bo6b2o6b2ob2o23bo
7b2ob2o4bo3bo6bo96b2o2b2o5bob5o142bobo6b2o2bo273b2o161bobo6b2o2bo35b3o
32b2ob2o5b3o15b2obo4bo2bo$142bobo6b2o2bo6bo6b2o6b2ob2o23bo7b2ob2o3bo
12bo2bo7b2o82b3o10b2o4b2o140b2o448b2o83b2o19bo7b3o4bobo$142b2o18bo3b2o
5b3ob2obo21bo3bo3bobob2o5bo3b2o5b3ob2obo6b2o81b3o4b3o3bo705b3o4b3ob2o$
162bo12bo2bo21b2obo3bo2bo2bo7bo6b2o6b2ob2o4bo83b3o4b3o3bo705b3o$163bo
3bo6bo26bobo5bo11bo6b2o6b2ob2o88b3o10b2o4b2o$163b4o7bo27bo18bo3b2o5b3o
b2obo90b2o2b2o5bob5o$221bo12bo2bo92b2ob2o7b2o149b2o120b2o326b2o$222bo
3bo6bo97b4o157b4o120b2o172b2ob2o147b4o$222b4o7bo98b2o157b2ob2o7b2o110b
o165b3o5bo3b4o144b2ob2o7b2o$117b2ob2o369b2o2b2o5bob5o271bo2b3o3bo3b4o
144b2o2b2o5bob5o$108b3o5bo3b4o366b3o10b2o4b2o269bo3bobo2b2o149b3o10b2o
4b2o$107bo2b3o3bo3b4o204b4o7bo150b3o4b3o3bo276bo3bobo2b2o149b3o4b3o3bo
$107bo3bobo2b2o210bo3bo6bo150b3o4b3o3bo276bo2b3o3bo3b4o143b3o4b3o3bo$
107bo3bobo2b2o209bo12bo2bo146b3o10b2o4b2o270b3o5bo3b4o143b3o10b2o4b2o$
107bo2b3o3bo3b4o203bo3b2o5b3ob2obo145b2o2b2o5bob5o281b2ob2o146b2o2b2o
5bob5o$108b3o5bo3b4o203bo6b2o6b2ob2o144b2ob2o7b2o436b2ob2o7b2o$117b2ob
2o205bo6b2o6b2ob2o145b4o446b4o$327bo3b2o5b3ob2obo147b2o448b2o$327bo12b
o2bo433b2o$328bo3bo6bo436b4o$328b4o7bo149b4o7bo274b2ob2o7b2o150b4o7bo$
489bo3bo6bo274b2o2b2o5bob5o146bo3bo6bo$488bo12bo2bo269b3o10b2o4b2o143b
o12bo2bo$112bo375bo3b2o5b3ob2obo267b3o4b3o3bo150bo3b2o5b3ob2obo$111bob
o5bo368bo6b2o6b2ob2o266b3o4b3o3bo150bo6b2o6b2ob2o$110b2obo3bo2bo2bo
364bo6b2o6b2ob2o266b3o10b2o4b2o143bo6b2o6b2ob2o$112bo3bo3bobob2o362bo
3b2o5b3ob2obo108b3o157b2o2b2o5bob5o145bo3b2o5b3ob2obo$115bo7b2ob2o360b
o12bo2bo110b3o4b3ob2o147b2ob2o7b2o149bo12bo2bo$115bo7b2ob2o361bo3bo6bo
112bo7b3o4bobo145b4o159bo3bo6bo$112bo3bo3bobob2o363b4o7bo118b2obo4bo2b
o146b2o160b4o7bo$110b2obo3bo2bo2bo495b2obo4bo2bo$111bobo5bo493bo7b3o4b
obo$112bo502b3o4b3ob2o$615b3o419bobo$1038b2o$1038bo2$108b3o$108b3o4b3o
b2o945b2ob2o$106bo7b3o4bobo933b3o5bo3b4o$112b2obo4bo2bo494b2o436bo2b3o
3bo3b4o$112b2obo4bo2bo108b2o383bo2bo6bo428bo3bobo2b2o$106bo7b3o4bobo
108bobo6b2o2bo374bo6b2ob3o423bo3bobo2b2o$108b3o4b3ob2o110bo2b2o5b2obo
2bo369b3o2b2o7b3o422bo2b3o3bo3b4o$108b3o121b2o3bo4bo4bo376bo4b2o3bo
422b3o5bo3b4o$232bo5bo4bo2bobo375bo4b2o3bo431b2ob2o$232bo5bo4bo2bobo
368b3o2b2o7b3o$232b2o3bo4bo4bo372bo6b2ob3o$231bo2b2o5b2obo2bo369bo2bo
6bo$232bobo6b2o2bo372b2o$232b2o2$1061bo$616bo443bobo5bo$614b2obo441b2o
bo3bo2bo2bo$235b2o377b2obo5b3ob2o432bo3bo3bobob2o$234b4o377b2o3bo4b2o
2b2o433bo7b2ob2o$233b2ob2o7b2o372b2o5bo4bo432bo7b2ob2o$233b2o2b2o5bob
5o368b2o5bo4bo429bo3bo3bobob2o$232b3o10b2o4b2o362b2o3bo4b2o2b2o428b2ob
o3bo2bo2bo$232b3o4b3o3bo368b2obo5b3ob2o431bobo5bo$232b3o4b3o3bo368b2ob
o443bo$232b3o10b2o4b2o363bo$233b2o2b2o5bob5o$233b2ob2o7b2o$234b4o$235b
2o820b3o$1057b3o4b3ob2o$1055bo7b3o4bobo$231b4o7bo818b2obo4bo2bo$231bo
3bo6bo818b2obo4bo2bo$230bo12bo2bo808bo7b3o4bobo$230bo3b2o5b3ob2obo808b
3o4b3ob2o$230bo6b2o6b2ob2o807b3o$230bo6b2o6b2ob2o$230bo3b2o5b3ob2obo$
230bo12bo2bo$231bo3bo6bo$231b4o7bo!

Code: Select all

x = 2218, y = 609, rule = B3/S23
2025bo$2023b2obo$2023b2obo5b3ob2o$2024b2o3bo4b2o2b2o$2028b2o5bo4bo$
2028b2o5bo4bo$2024b2o3bo4b2o2b2o$2023b2obo5b3ob2o$2004bo18b2obo$2003bo
bo5bo13bo19bo$1744b2o256b2obo3bo2bo2bo28bobo5bo$1744bobo6b2o2bo223bo
22bo3bo3bobob2o25b2obo3bo2bo2bo$1743bo2b2o5b2obo2bo220bobo5bo18bo7b2ob
2o25bo3bo3bobob2o$1744b2o3bo4bo4bo219b2obo3bo2bo2bo14bo7b2ob2o28bo7b2o
b2o$1744bo5bo4bo2bobo220bo3bo3bobob2o9bo3bo3bobob2o30bo7b2ob2o$1744bo
5bo4bo2bobo223bo7b2ob2o5b2obo3bo2bo2bo29bo3bo3bobob2o$1744b2o3bo4bo4bo
224bo7b2ob2o6bobo5bo31b2obo3bo2bo2bo$1743bo2b2o5b2obo2bo221bo3bo3bobob
2o9bo39bobo5bo$1723b2o19bobo6b2o2bo221b2obo3bo2bo2bo52bo$1722bo2bo6bo
11b2o18b2o194bo19bobo5bo$1725bo6b2ob3o25bo2bo6bo185bobo5bo13bo$1700b2o
20b3o2b2o7b3o27bo6b2ob3o179b2obo3bo2bo2bo$1699bo2bo6bo19bo4b2o3bo23b3o
2b2o7b3o180bo3bo3bobob2o46b2o$1702bo6b2ob3o14bo4b2o3bo30bo4b2o3bo182bo
7b2ob2o45b2o6b2o$1699b3o2b2o7b3o6b3o2b2o7b3o31bo4b2o3bo182bo7b2ob2o44b
o8b2o$1706bo4b2o3bo8bo6b2ob3o25b3o2b2o7b3o180bo3bo3bobob2o35b3o$1706bo
4b2o3bo5bo2bo6bo33bo6b2ob3o179b2obo3bo2bo2bo81bo$1699b3o2b2o7b3o7b2o
38bo2bo6bo185bobo5bo39b2obobob2o36bobo5bo$1702bo6b2ob3o49b2o194bo46bo
2bobo38b2obo3bo2bo2bo$1679b2o18bo2bo6bo297b3obo41bo3bo3bobob2o$1678bo
2bo6bo11b2o314bo39bo7b2ob2o$1681bo6b2ob3o316bo5bo7b2o30bo7b2ob2o$1678b
3o2b2o7b3o45b2o273b2o7b2o27bo3bo3bobob2o$1685bo4b2o3bo43b4o9b2o259b2o
36b2obo3bo2bo2bo$1685bo4b2o3bo42b3obo9b2o298bobo5bo$1678b3o2b2o7b3o44b
3obo309bo$1681bo6b2ob3o46b3o29b2o$1678bo2bo6bo52b2o28bo2bo6bo$1679b2o
93bo6b2ob3o$1771b3o2b2o7b3o$1778bo4b2o3bo187bo$1747b2o29bo4b2o3bo186bo
bo5bo$1747b2o22b3o2b2o7b3o186b2obo3bo2bo2bo$1774bo6b2ob3o189bo3bo3bobo
b2o$1771bo2bo6bo197bo7b2ob2o$1772b2o205bo7b2ob2o$1976bo3bo3bobob2o$
1974b2obo3bo2bo2bo$1975bobo5bo$1976bo$1695b2o$1694bo2bo6bo$1697bo6b2ob
3o$1694b3o2b2o7b3o$1701bo4b2o3bo$1701bo4b2o3bo$1694b3o2b2o7b3o$1697bo
6b2ob3o441b2o$1694bo2bo6bo446bobo6b2o2bo$1695b2o453bo2b2o5b2obo2bo$
2151b2o3bo4bo4bo$2151bo5bo4bo2bobo$2151bo5bo4bo2bobo$2151b2o3bo4bo4bo$
2150bo2b2o5b2obo2bo$2130b2o19bobo6b2o2bo$2129bo2bo6bo11b2o18b2o$2132bo
6b2ob3o25bo2bo6bo$2107b2o20b3o2b2o7b3o27bo6b2ob3o$2106bo2bo6bo19bo4b2o
3bo23b3o2b2o7b3o$2109bo6b2ob3o14bo4b2o3bo30bo4b2o3bo$2106b3o2b2o7b3o6b
3o2b2o7b3o31bo4b2o3bo$2113bo4b2o3bo8bo6b2ob3o25b3o2b2o7b3o$2113bo4b2o
3bo5bo2bo6bo33bo6b2ob3o$2106b3o2b2o7b3o7b2o38bo2bo6bo$2109bo6b2ob3o49b
2o$2086b2o18bo2bo6bo$2085bo2bo6bo11b2o$2088bo6b2ob3o$2085b3o2b2o7b3o
45b2o$2092bo4b2o3bo43b4o9b2o$2092bo4b2o3bo42b3obo9b2o$2085b3o2b2o7b3o
44b3obo$2088bo6b2ob3o46b3o29b2o$2085bo2bo6bo52b2o28bo2bo6bo$2086b2o93b
o6b2ob3o$2178b3o2b2o7b3o$2185bo4b2o3bo$2154b2o29bo4b2o3bo$2154b2o22b3o
2b2o7b3o$2181bo6b2ob3o$2178bo2bo6bo$2179b2o3$1483b2o$1482b4o$1481b2ob
2o7b2o607b2o$1481b2o2b2o5bob5o477bo124bo2bo6bo$1480b3o10b2o4b2o474bobo
5bo120bo6b2ob3o$1480b3o4b3o3bo480b2obo3bo2bo2bo113b3o2b2o7b3o$1480b3o
4b3o3bo482bo3bo3bobob2o118bo4b2o3bo$1480b3o10b2o4b2o478bo7b2ob2o116bo
4b2o3bo$1481b2o2b2o5bob5o480bo7b2ob2o109b3o2b2o7b3o$1461b4o7bo8b2ob2o
7b2o481bo3bo3bobob2o114bo6b2ob3o$1461bo3bo6bo9b4o16b4o7bo460b2obo3bo2b
o2bo113bo2bo6bo$1460bo12bo2bo6b2o17bo3bo6bo461bobo5bo118b2o$1438b4o7bo
10bo3b2o5b3ob2obo22bo12bo2bo458bo$1438bo3bo6bo10bo6b2o6b2ob2o21bo3b2o
5b3ob2obo175b2o$1437bo12bo2bo6bo6b2o6b2ob2o21bo6b2o6b2ob2o173bo2bo6bo$
1437bo3b2o5b3ob2obo4bo3b2o5b3ob2obo22bo6b2o6b2ob2o176bo6b2ob3o$1437bo
6b2o6b2ob2o3bo12bo2bo24bo3b2o5b3ob2obo174b3o2b2o7b3o$1437bo6b2o6b2ob2o
4bo3bo6bo28bo12bo2bo183bo4b2o3bo341bo$1437bo3b2o5b3ob2obo5b4o7bo29bo3b
o6bo187bo4b2o3bo340bobo5bo$1437bo12bo2bo48b4o7bo180b3o2b2o7b3o340b2obo
3bo2bo2bo$1417b4o7bo9bo3bo6bo247bo6b2ob3o258b2o6b2o75bo3bo3bobob2o$
1417bo3bo6bo9b4o7bo244bo2bo6bo263b2o6b2o78bo7b2ob2o$1416bo12bo2bo262b
2o359bo7b2ob2o$1416bo3b2o5b3ob2obo618bo3bo3bobob2o$1416bo6b2o6b2ob2o
524bo90b2obo3bo2bo2bo$1416bo6b2o6b2ob2o523bobo5bo84bobo5bo$1416bo3b2o
5b3ob2obo523b2obo3bo2bo2bo81bo$1416bo12bo2bo77b4o7bo250b2o186bo3bo3bob
ob2o$1417bo3bo6bo81bo3bo6bo249bo2bo6bo181bo7b2ob2o$1417b4o7bo80bo12bo
2bo248bo6b2ob3o176bo7b2ob2o$1509bo3b2o5b3ob2obo163b2o6b2o70b3o2b2o7b3o
172bo3bo3bobob2o$1509bo6b2o6b2ob2o162b2o6b2o77bo4b2o3bo169b2obo3bo2bo
2bo$1509bo6b2o6b2ob2o249bo4b2o3bo170bobo5bo13bo$1509bo3b2o5b3ob2obo
243b3o2b2o7b3o172bo19bobo5bo$1509bo12bo2bo153b2o93bo6b2ob3o192b2obo3bo
2bo2bo52bo$1510bo3bo6bo156bo2bo6bo82bo2bo6bo199bo3bo3bobob2o9bo39bobo
5bo$1510b4o7bo159bo6b2ob3o78b2o210bo7b2ob2o6bobo5bo31b2obo3bo2bo2bo$
1678b3o2b2o7b3o289bo7b2ob2o5b2obo3bo2bo2bo29bo3bo3bobob2o$1685bo4b2o3b
o8b2o275bo3bo3bobob2o9bo3bo3bobob2o30bo7b2ob2o$1685bo4b2o3bo8b2o273b2o
bo3bo2bo2bo14bo7b2ob2o28bo7b2ob2o$1499b2o177b3o2b2o7b3o285bobo5bo18bo
7b2ob2o25bo3bo3bobob2o$1433b4o7bo55b2o179bo6b2ob3o287bo22bo3bo3bobob2o
25b2obo3bo2bo2bo$1433bo3bo6bo54bo178bo2bo6bo11b2o300b2obo3bo2bo2bo28bo
bo5bo$1432bo12bo2bo230b2o18bo2bo6bo293bobo5bo33bo$1432bo3b2o5b3ob2obo
251bo6b2ob3o49b2o238bo$1432bo6b2o6b2ob2o247b3o2b2o7b3o7b2o38bo2bo6bo$
1432bo6b2o6b2ob2o254bo4b2o3bo5bo2bo6bo33bo6b2ob3o$1432bo3b2o5b3ob2obo
255bo4b2o3bo8bo6b2ob3o25b3o2b2o7b3o$1432bo12bo2bo250b3o2b2o7b3o6b3o2b
2o7b3o31bo4b2o3bo$1433bo3bo6bo257bo6b2ob3o14bo4b2o3bo30bo4b2o3bo$1433b
4o7bo254bo2bo6bo19bo4b2o3bo23b3o2b2o7b3o$1700b2o20b3o2b2o7b3o27bo6b2ob
3o$695b4o7bo383b2o633bo6b2ob3o25bo2bo6bo$695bo3bo6bo382bo2bo6bo622bo2b
o6bo31b2o$694bo12bo2bo381bo6b2ob3o618b2o$694bo3b2o5b3ob2obo376b3o2b2o
7b3o$694bo6b2o6b2ob2o382bo4b2o3bo$694bo6b2o6b2ob2o382bo4b2o3bo$694bo3b
2o5b3ob2obo376b3o2b2o7b3o$694bo12bo2bo381bo6b2ob3o$675b2o18bo3bo6bo
363bo18bo2bo6bo1002b2o$674b2ob2o5b3o8b4o7bo9b2o350b2obo18b2o19bo989bo
2bo6bo$674bo2b2o10bo25b2ob2o5b3o340b2obo5b3ob2o26b2obo991bo6b2ob3o$
652b2o20b4o6b2o3b3o23bo2b2o10bo316bo21b2o3bo4b2o2b2o24b2obo5b3ob2o977b
3o2b2o7b3o$651b2ob2o5b3o10b2o4b2o3b2o2bobo23b4o6b2o3b3o312b2obo24b2o5b
o4bo24b2o3bo4b2o2b2o982bo4b2o3bo$651bo2b2o10bo7b2o4b2o3b2o2bobo23b2o4b
2o3b2o2bobo312b2obo5b3ob2o13b2o5bo4bo28b2o5bo4bo981bo4b2o3bo$651b4o6b
2o3b3o5b4o6b2o3b3o23b2o4b2o3b2o2bobo313b2o3bo4b2o2b2o7b2o3bo4b2o2b2o
29b2o5bo4bo974b3o2b2o7b3o$651b2o4b2o3b2o2bobo5bo2b2o10bo25b4o6b2o3b3o
317b2o5bo4bo5b2obo5b3ob2o27b2o3bo4b2o2b2o978bo6b2ob3o$109b2o540b2o4b2o
3b2o2bobo5b2ob2o5b3o28bo2b2o10bo319b2o5bo4bo5b2obo37b2obo5b3ob2o977bo
2bo6bo$108bo2bo6bo532b4o6b2o3b3o6b2o38b2ob2o5b3o318b2o3bo4b2o2b2o8bo
38b2obo989b2o$111bo6b2ob3o527bo2b2o10bo49b2o327b2obo5b3ob2o51bo937bo7b
ob2o$108b3o2b2o7b3o506b2o18b2ob2o5b3o362bo18b2obo999b3o5bo6bo$115bo4b
2o3bo504b2ob2o5b3o9b2o370b2obo19bo999bo4bo2b2o3bo2bo$115bo4b2o3bo504bo
2b2o10bo378b2obo5b3ob2o1007b3o4bobo5b2o$108b3o2b2o7b3o505b4o6b2o3b3o
377b2o3bo4b2o2b2o1005b3o4bobo5b2o116b2o$111bo6b2ob3o506b2o4b2o3b2o2bob
o7b2o372b2o5bo4bo7b2o996bo4bo2b2o3bo2bo114bo2bo6bo$89bo18bo2bo6bo511b
2o4b2o3b2o2bobo7b2o372b2o5bo4bo7b2o997b3o5bo6bo117bo6b2ob3o$87b2obo18b
2o19bo499b4o6b2o3b3o377b2o3bo4b2o2b2o1008bo7bob2o37b2o6b2o70b3o2b2o7b
3o$87b2obo5b3ob2o26b2obo498bo2b2o10bo78b2o298b2obo5b3ob2o80bo978b2o6b
2o77bo4b2o3bo$66bo21b2o3bo4b2o2b2o24b2obo5b3ob2o487b2ob2o5b3o80b2ob2o
5b3o288b2obo89b2obo1064bo4b2o3bo$64b2obo24b2o5bo4bo24b2o3bo4b2o2b2o
486b2o90bo2b2o10bo287bo90b2obo5b3ob2o1046b3o2b2o7b3o$64b2obo5b3ob2o13b
2o5bo4bo28b2o5bo4bo577b4o6b2o3b3o377b2o3bo4b2o2b2o952b2o93bo6b2ob3o$
65b2o3bo4b2o2b2o7b2o3bo4b2o2b2o29b2o5bo4bo577b2o4b2o3b2o2bobo381b2o5bo
4bo950bo2bo6bo82bo2bo6bo$69b2o5bo4bo5b2obo5b3ob2o27b2o3bo4b2o2b2o497b
2o6b2o71b2o4b2o3b2o2bobo295b2o6b2o76b2o5bo4bo953bo6b2ob3o78b2o$69b2o5b
o4bo5b2obo37b2obo5b3ob2o499b2o6b2o71b4o6b2o3b3o295b2o6b2o72b2o3bo4b2o
2b2o951b3o2b2o7b3o$65b2o3bo4b2o2b2o8bo38b2obo591bo2b2o10bo378b2obo5b3o
b2o960bo4b2o3bo8b2o$64b2obo5b3ob2o51bo592b2ob2o5b3o381b2obo971bo4b2o3b
o8b2o$45bo18b2obo656b2o393bo965b3o2b2o7b3o$43b2obo19bo2021bo6b2ob3o$
43b2obo5b3ob2o2027bo2bo6bo11b2o$44b2o3bo4b2o2b2o2026b2o18bo2bo6bo$48b
2o5bo4bo54b2o1992bo6b2ob3o49b2o$48b2o5bo4bo43b2o9b2o530b2o393bo1063b3o
2b2o7b3o7b2o38bo2bo6bo$44b2o3bo4b2o2b2o43bobo540b2ob2o5b3o381b2obo
1069bo4b2o3bo5bo2bo6bo33bo6b2ob3o$43b2obo5b3ob2o41b2o4bo32bo507bo2b2o
10bo378b2obo5b3ob2o1058bo4b2o3bo8bo6b2ob3o25b3o2b2o7b3o$43b2obo51bobo
35b2obo506b4o6b2o3b3o377b2o3bo4b2o2b2o1049b3o2b2o7b3o6b3o2b2o7b3o31bo
4b2o3bo$45bo51b2obo35b2obo5b3ob2o495b2o4b2o3b2o2bobo381b2o5bo4bo1051bo
6b2ob3o14bo4b2o3bo30bo4b2o3bo$98b2obo35b2o3bo4b2o2b2o493b2o4b2o3b2o2bo
bo381b2o5bo4bo1048bo2bo6bo19bo4b2o3bo23b3o2b2o7b3o$99b3o39b2o5bo4bo
492b4o6b2o3b3o377b2o3bo4b2o2b2o1050b2o20b3o2b2o7b3o27bo6b2ob3o$110b2o
29b2o5bo4bo492bo2b2o10bo378b2obo5b3ob2o378b4o7bo687bo6b2ob3o25bo2bo6bo
$110b2o25b2o3bo4b2o2b2o493b2ob2o5b3o381b2obo389bo3bo6bo684bo2bo6bo31b
2o$136b2obo5b3ob2o496b2o393bo389bo12bo2bo681b2o$136b2obo1292bo3b2o5b3o
b2obo$138bo1293bo6b2o6b2ob2o$1432bo6b2o6b2ob2o$1432bo3b2o5b3ob2obo$
1432bo12bo2bo$1433bo3bo6bo$61bo1371b4o7bo$59b2obo$59b2obo5b3ob2o$60b2o
3bo4b2o2b2o$64b2o5bo4bo$64b2o5bo4bo1433b4o7bo$60b2o3bo4b2o2b2o1434bo3b
o6bo$59b2obo5b3ob2o1435bo12bo2bo$59b2obo1383b2o6b2o53bo3b2o5b3ob2obo$
61bo1384b2o6b2o53bo6b2o6b2ob2o$1509bo6b2o6b2ob2o$1509bo3b2o5b3ob2obo$
1417b4o7bo80bo12bo2bo$1417bo3bo6bo81bo3bo6bo$1416bo12bo2bo77b4o7bo$
1416bo3b2o5b3ob2obo$1416bo6b2o6b2ob2o23b2o$1416bo6b2o6b2ob2o23b2o$
1416bo3b2o5b3ob2obo$1416bo12bo2bo$1417bo3bo6bo9b4o7bo$1417b4o7bo9bo3bo
6bo$1437bo12bo2bo48b4o7bo$1437bo3b2o5b3ob2obo5b4o7bo29bo3bo6bo$1437bo
6b2o6b2ob2o4bo3bo6bo28bo12bo2bo$1437bo6b2o6b2ob2o3bo12bo2bo24bo3b2o5b
3ob2obo$1437bo3b2o5b3ob2obo4bo3b2o5b3ob2obo22bo6b2o6b2ob2o$1437bo12bo
2bo6bo6b2o6b2ob2o21bo6b2o6b2ob2o$1438bo3bo6bo10bo6b2o6b2ob2o21bo3b2o5b
3ob2obo$1438b4o7bo10bo3b2o5b3ob2obo22bo12bo2bo$1460bo12bo2bo25bo3bo6bo
$1461bo3bo6bo29b4o7bo$1461b4o7bo9$1928bobo$647b2o393bo885b2o$646b2ob2o
5b3o381b2obo764bo120bo$646bo2b2o10bo378b2obo5b3ob2o754b2o$646b4o6b2o3b
3o377b2o3bo4b2o2b2o751b2o$646b2o4b2o3b2o2bobo381b2o5bo4bo$646b2o4b2o3b
2o2bobo381b2o5bo4bo$646b4o6b2o3b3o377b2o3bo4b2o2b2o$646bo2b2o10bo378b
2obo5b3ob2o$646b2ob2o5b3o381b2obo$647b2o393bo5$724b2o393bo$723b2ob2o5b
3o381b2obo386b2o$61bo661bo2b2o10bo378b2obo5b3ob2o375bobo6b2o2bo$59b2ob
o635b2o23b4o6b2o3b3o351b2o24b2o3bo4b2o2b2o372bo2b2o5b2obo2bo$59b2obo5b
3ob2o624b2o23b2o4b2o3b2o2bobo351b2o28b2o5bo4bo372b2o3bo4bo4bo$60b2o3bo
4b2o2b2o647b2o4b2o3b2o2bobo381b2o5bo4bo372bo5bo4bo2bobo$64b2o5bo4bo
612b2o32b4o6b2o3b3o377b2o3bo4b2o2b2o373bo5bo4bo2bobo$64b2o5bo4bo554b2o
54b2ob3o30bo2b2o10bo287bo56bo3bo29b2obo5b3ob2o375b2o3bo4bo4bo$60b2o3bo
4b2o2b2o554b2ob2o5b3o44b2obobo30b2ob2o5b3o288b2obo54b3obo2bo27b2obo
385bo2b2o5b2obo2bo$59b2obo5b3ob2o556bo2b2o10bo45bob2o29b2o298b2obo5b3o
b2o43bobobo32bo387bobo6b2o2bo$59b2obo567b4o6b2o3b3o377b2o3bo4b2o2b2o
47bo418b2o$61bo568b2o4b2o3b2o2bobo47bo7b2o324b2o5bo4bo46b2o7b2o$630b2o
4b2o3b2o2bobo55b2o324b2o5bo4bo40bo3bobo8b2o$630b4o6b2o3b3o377b2o3bo4b
2o2b2o45bobo$630bo2b2o10bo378b2obo5b3ob2o$630b2ob2o5b3o9b2o370b2obo19b
o$138bo492b2o18b2ob2o5b3o362bo18b2obo$136b2obo511bo2b2o10bo49b2o327b2o
bo5b3ob2o51bo$136b2obo5b3ob2o500b4o6b2o3b3o6b2o38b2ob2o5b3o318b2o3bo4b
2o2b2o8bo38b2obo$54b2o6b2o73b2o3bo4b2o2b2o498b2o4b2o3b2o2bobo5b2ob2o5b
3o28bo2b2o10bo319b2o5bo4bo5b2obo37b2obo5b3ob2o$54b2o6b2o77b2o5bo4bo
497b2o4b2o3b2o2bobo5bo2b2o10bo25b4o6b2o3b3o317b2o5bo4bo5b2obo5b3ob2o
27b2o3bo4b2o2b2o$141b2o5bo4bo497b4o6b2o3b3o5b4o6b2o3b3o23b2o4b2o3b2o2b
obo313b2o3bo4b2o2b2o7b2o3bo4b2o2b2o29b2o5bo4bo$137b2o3bo4b2o2b2o498bo
2b2o10bo7b2o4b2o3b2o2bobo23b2o4b2o3b2o2bobo312b2obo5b3ob2o13b2o5bo4bo
28b2o5bo4bo$45bo90b2obo5b3ob2o500b2ob2o5b3o10b2o4b2o3b2o2bobo23b4o6b2o
3b3o312b2obo24b2o5bo4bo24b2o3bo4b2o2b2o$43b2obo89b2obo512b2o20b4o6b2o
3b3o23bo2b2o10bo316bo21b2o3bo4b2o2b2o24b2obo5b3ob2o$43b2obo5b3ob2o80bo
535bo2b2o10bo25b2ob2o5b3o340b2obo5b3ob2o26b2obo$44b2o3bo4b2o2b2o614b2o
b2o5b3o29b2o350b2obo39bo$48b2o5bo4bo614b2o393bo$48b2o5bo4bo5b2o$44b2o
3bo4b2o2b2o$43b2obo5b3ob2o$43b2obo19bo980b2o382b2o5bo2bo373b2o5bo2bo
373b2o5bo2bo$45bo18b2obo978b4o380b4o8bo371b4o8bo371b4o8bo$64b2obo5b3ob
2o51bo915b2ob2o379b2ob2o3bo3bo371b2ob2o3bo3bo371b2ob2o3bo3bo$65b2o3bo
4b2o2b2o8bo38b2obo916b2o382b2o5b4o10bo362b2o5b4o373b2o5b4o4bo$69b2o5bo
4bo5b2obo37b2obo5b3ob2o1309bo763b2o$69b2o5bo4bo5b2obo5b3ob2o27b2o3bo4b
2o2b2o1307b3o760b2o$65b2o3bo4b2o2b2o7b2o3bo4b2o2b2o29b2o5bo4bo$64b2obo
5b3ob2o13b2o5bo4bo28b2o5bo4bo$64b2obo24b2o5bo4bo24b2o3bo4b2o2b2o1677bo
2bo380bo2bo$66bo21b2o3bo4b2o2b2o24b2obo5b3ob2o1683bo383bo$87b2obo5b3ob
2o26b2obo1690bo3bo379bo3bo$87b2obo39bo1692b4o380b4o$89bo$1455bo$1445b
3o6b2o366bo2bo380bo2bo$1447bo6bobo369bo383bo$1446bo375bo3bo379bo3bo$
270b4o380b4o380b4o380b4o380b4o13b4o363b4o13b4o$269bo3bo379bo3bo379bo3b
o379bo3bo379bo3bo379bo3bo$273bo383bo383bo383bo383bo383bo$269bo2bo380bo
2bo380bo2bo380bo2bo380bo2bo380bo2bo5$686b2o$685bobo391b2o$687bo392b2o$
1079bo$735b2o$735bobo392b2o$735bo393b2o19b2o$1131bo17b4o$757b3o388b2ob
2o7b2o$757b3o4b3ob2o378b2o2b2o5bob5o$755bo7b3o4bobo374b3o10b2o4b2o$
761b2obo4bo2bo374b3o4b3o3bo$761b2obo4bo2bo374b3o4b3o3bo$755bo7b3o4bobo
374b3o10b2o4b2o$757b3o4b3ob2o378b2o2b2o5bob5o$757b3o388b2ob2o7b2o347b
2o$1149b4o355b2ob2o5b3o$1119b2o29b2o356bo2b2o10bo$1118b4o38b2o346b4o6b
2o3b3o$726b3o388b2ob2o7b2o28b4o345b2o4b2o3b2o2bobo$726b3o4b3ob2o28b3o
326b2o19b2o2b2o5bob5o23b2ob2o7b2o336b2o4b2o3b2o2bobo$724bo7b3o4bobo25b
3o4b3ob2o315b4o17b3o10b2o4b2o21b2o2b2o5bob5o332b4o6b2o3b3o$169b2o532b
3o24b2obo4bo2bo23bo7b3o4bobo311b2ob2o7b2o8b3o4b3o3bo27b3o10b2o4b2o330b
o2b2o10bo$168b4o531b3o4b3ob2o14b2obo4bo2bo29b2obo4bo2bo311b2o2b2o5bob
5o4b3o4b3o3bo27b3o4b3o3bo337b2ob2o5b3o$167b2ob2o7b2o520bo7b3o4bobo5bo
7b3o4bobo29b2obo4bo2bo310b3o10b2o4b2o2b3o10b2o4b2o20b3o4b3o3bo338b2o$
167b2o2b2o5bob5o522b2obo4bo2bo7b3o4b3ob2o26bo7b3o4bobo310b3o4b3o3bo10b
2o2b2o5bob5o22b3o10b2o4b2o$166b3o10b2o4b2o520b2obo4bo2bo7b3o38b3o4b3ob
2o313b3o4b3o3bo10b2ob2o7b2o27b2o2b2o5bob5o$166b3o4b3o3bo521bo7b3o4bobo
48b3o323b3o10b2o4b2o4b4o36b2ob2o7b2o$166b3o4b3o3bo523b3o4b3ob2o359b2o
17b2o2b2o5bob5o7b2o38b4o$166b3o10b2o4b2o516b3o368b4o16b2ob2o7b2o52b2o$
167b2o2b2o5bob5o497b3o388b2ob2o7b2o8b4o$167b2ob2o7b2o501b3o4b3ob2o378b
2o2b2o5bob5o5b2o$168b4o508bo7b3o4bobo374b3o10b2o4b2o$138b2o29b2o515b2o
bo4bo2bo21b2o20b2o329b3o4b3o3bo27b2o20b2o$137b4o38b2o505b2obo4bo2bo21b
2o20b2o329b3o4b3o3bo27b2o20b2o$136b2ob2o7b2o28b4o498bo7b3o4bobo374b3o
10b2o4b2o75b2o$115b2o19b2o2b2o5bob5o23b2ob2o7b2o491b3o4b3ob2o378b2o2b
2o5bob5o76b4o$114b4o17b3o10b2o4b2o21b2o2b2o5bob5o487b3o90b3o295b2ob2o
7b2o79b2ob2o7b2o$113b2ob2o7b2o8b3o4b3o3bo27b3o10b2o4b2o578b3o4b3ob2o
286b4o88b2o2b2o5bob5o$113b2o2b2o5bob5o4b3o4b3o3bo27b3o4b3o3bo583bo7b3o
4bobo284b2o88b3o10b2o4b2o$112b3o10b2o4b2o2b3o10b2o4b2o20b3o4b3o3bo589b
2obo4bo2bo374b3o4b3o3bo$112b3o4b3o3bo10b2o2b2o5bob5o22b3o10b2o4b2o531b
2o6b2o41b2obo4bo2bo331b2o6b2o33b3o4b3o3bo$112b3o4b3o3bo10b2ob2o7b2o27b
2o2b2o5bob5o533b2o6b2o35bo7b3o4bobo331b2o6b2o33b3o10b2o4b2o$112b3o10b
2o4b2o4b4o36b2ob2o7b2o584b3o4b3ob2o378b2o2b2o5bob5o$94b2o17b2o2b2o5bob
5o7b2o38b4o593b3o388b2ob2o7b2o$93b4o16b2ob2o7b2o52b2o986b4o$92b2ob2o7b
2o8b4o599b2o392b2o55b2o$92b2o2b2o5bob5o5b2o515b2o83b2o308bo83b2o$91b3o
10b2o4b2o520bobo6b2o2bo27b2o351bobo5bo33bo395b2o$91b3o4b3o3bo526bo2b2o
5b2obo2bo25bobo6b2o2bo338b2obo3bo2bo2bo28bobo5bo15b2o370b4o38b2o$91b3o
4b3o3bo504b2o21b2o3bo4bo4bo24bo2b2o5b2obo2bo315bo22bo3bo3bobob2o25b2ob
o3bo2bo2bo10b4o368b2ob2o7b2o28b4o$91b3o10b2o4b2o75b2o420bobo6b2o2bo9bo
5bo4bo2bobo24b2o3bo4bo4bo9b3o302bobo5bo18bo7b2ob2o25bo3bo3bobob2o7b2ob
2o7b2o338b2o19b2o2b2o5bob5o23b2ob2o7b2o$92b2o2b2o5bob5o76b4o418bo2b2o
5b2obo2bo7bo5bo4bo2bobo24bo5bo4bo2bobo8b3o4b3ob2o291b2obo3bo2bo2bo14bo
7b2ob2o28bo7b2ob2o5b2o2b2o5bob5o333b4o17b3o10b2o4b2o21b2o2b2o5bob5o$
92b2ob2o7b2o79b2ob2o7b2o410b2o3bo4bo4bo7b2o3bo4bo4bo25bo5bo4bo2bobo6bo
7b3o4bobo290bo3bo3bobob2o9bo3bo3bobob2o30bo7b2ob2o4b3o10b2o4b2o330b2ob
2o7b2o8b3o4b3o3bo27b3o10b2o4b2o$93b4o88b2o2b2o5bob5o406bo5bo4bo2bobo5b
o2b2o5b2obo2bo25b2o3bo4bo4bo13b2obo4bo2bo293bo7b2ob2o5b2obo3bo2bo2bo
29bo3bo3bobob2o6b3o4b3o3bo337b2o2b2o5bob5o4b3o4b3o3bo27b3o4b3o3bo$94b
2o88b3o10b2o4b2o404bo5bo4bo2bobo6bobo6b2o2bo26bo2b2o5b2obo2bo13b2obo4b
o2bo293bo7b2ob2o6bobo5bo31b2obo3bo2bo2bo8b3o4b3o3bo336b3o10b2o4b2o2b3o
10b2o4b2o20b3o4b3o3bo$184b3o4b3o3bo411b2o3bo4bo4bo7b2o39bobo6b2o2bo9bo
7b3o4bobo290bo3bo3bobob2o9bo39bobo5bo12b3o10b2o4b2o329b3o4b3o3bo10b2o
2b2o5bob5o22b3o10b2o4b2o$100b2o82b3o4b3o3bo410bo2b2o5b2obo2bo48b2o23b
3o4b3ob2o291b2obo3bo2bo2bo52bo20b2o2b2o5bob5o331b3o4b3o3bo10b2ob2o7b2o
27b2o2b2o5bob5o$100b2o82b3o10b2o4b2o383b2o19bobo6b2o2bo75b3o282bo19bob
o5bo77b2ob2o7b2o335b3o10b2o4b2o4b4o36b2ob2o7b2o$185b2o2b2o5bob5o385bob
o6b2o2bo7b2o371bobo5bo13bo85b4o326b2o17b2o2b2o5bob5o7b2o38b4o$185b2ob
2o7b2o388bo2b2o5b2obo2bo377b2obo3bo2bo2bo96b2o326b4o16b2ob2o7b2o52b2o$
186b4o398b2o3bo4bo4bo379bo3bo3bobob2o421b2ob2o7b2o8b4o$187b2o399bo5bo
4bo2bobo7b2o20b2o350bo7b2ob2o7b2o20b2o388b2o2b2o5bob5o5b2o$46bo541bo5b
o4bo2bobo7b2o20b2o350bo7b2ob2o7b2o20b2o387b3o10b2o4b2o$45bobo5bo33bo
500b2o3bo4bo4bo379bo3bo3bobob2o420b3o4b3o3bo30b2o$44b2obo3bo2bo2bo28bo
bo5bo15b2o475bo2b2o5b2obo2bo77b2o298b2obo3bo2bo2bo81bo340b3o4b3o3bo30b
2o$23bo22bo3bo3bobob2o25b2obo3bo2bo2bo10b4o475bobo6b2o2bo79bobo6b2o2bo
287bobo5bo84bobo5bo333b3o10b2o4b2o75b2o$22bobo5bo18bo7b2ob2o25bo3bo3bo
bob2o7b2ob2o7b2o466b2o90bo2b2o5b2obo2bo286bo90b2obo3bo2bo2bo330b2o2b2o
5bob5o76b4o$21b2obo3bo2bo2bo14bo7b2ob2o28bo7b2ob2o5b2o2b2o5bob5o555b2o
3bo4bo4bo379bo3bo3bobob2o328b2ob2o7b2o79b2ob2o7b2o$23bo3bo3bobob2o9bo
3bo3bobob2o30bo7b2ob2o4b3o10b2o4b2o553bo5bo4bo2bobo381bo7b2ob2o37bo
289b4o88b2o2b2o5bob5o$26bo7b2ob2o5b2obo3bo2bo2bo29bo3bo3bobob2o6b3o4b
3o3bo500b2o6b2o50bo5bo4bo2bobo36bobo278b2o6b2o54bo7b2ob2o35bobo290b2o
88b3o10b2o4b2o$26bo7b2ob2o6bobo5bo31b2obo3bo2bo2bo8b3o4b3o3bo500b2o6b
2o50b2o3bo4bo4bo38b2o278b2o6b2o51bo3bo3bobob2o38b2o380b3o4b3o3bo$23bo
3bo3bobob2o9bo39bobo5bo12b3o10b2o4b2o552bo2b2o5b2obo2bo38bo338b2obo3bo
2bo2bo360b2o6b2o52b3o4b3o3bo$21b2obo3bo2bo2bo52bo20b2o2b2o5bob5o555bob
o6b2o2bo380bobo5bo364b2o6b2o52b3o10b2o4b2o$2bo19bobo5bo77b2ob2o7b2o
559b2o393bo434b2o2b2o5bob5o$bobo5bo13bo85b4o497b2o392b2o505b2ob2o7b2o$
2obo3bo2bo2bo96b2o498b2o392b2o506b4o$2bo3bo3bobob2o1497b2o$5bo7b2ob2o$
5bo7b2ob2o586b2o393bo$2bo3bo3bobob2o588bobo6b2o2bo380bobo5bo429b2o$2ob
o3bo2bo2bo81bo507bo2b2o5b2obo2bo377b2obo3bo2bo2bo424b4o$bobo5bo84bobo
5bo501b2o3bo4bo4bo379bo3bo3bobob2o421b2ob2o7b2o$2bo90b2obo3bo2bo2bo
497bo5bo4bo2bobo381bo7b2ob2o419b2o2b2o5bob5o$95bo3bo3bobob2o495bo5bo4b
o2bobo381bo7b2ob2o418b3o10b2o4b2o$98bo7b2ob2o493b2o3bo4bo4bo379bo3bo3b
obob2o420b3o4b3o3bo$98bo7b2ob2o492bo2b2o5b2obo2bo377b2obo3bo2bo2bo422b
3o4b3o3bo$95bo3bo3bobob2o495bobo6b2o2bo380bobo5bo426b3o10b2o4b2o$93b2o
bo3bo2bo2bo497b2o393bo434b2o2b2o5bob5o$94bobo5bo1331b2ob2o7b2o$95bo
1339b4o$1436b2o4$18bo$17bobo5bo$16b2obo3bo2bo2bo$18bo3bo3bobob2o$21bo
7b2ob2o$21bo7b2ob2o$18bo3bo3bobob2o$16b2obo3bo2bo2bo$17bobo5bo1326b3o$
18bo1333b3o4b3ob2o28b3o$75b2o1273bo7b3o4bobo25b3o4b3ob2o$74bobo1252b3o
24b2obo4bo2bo23bo7b3o4bobo$76bo1014b2o236b3o4b3ob2o14b2obo4bo2bo29b2ob
o4bo2bo$1090b4o233bo7b3o4bobo5bo7b3o4bobo29b2obo4bo2bo$698b3o388b2ob2o
7b2o230b2obo4bo2bo7b3o4b3ob2o26bo7b3o4bobo$148b3o547b3o4b3ob2o378b2o2b
2o5bob5o226b2obo4bo2bo7b3o38b3o4b3ob2o$150bo545bo7b3o4bobo374b3o10b2o
4b2o218bo7b3o4bobo48b3o$149bo552b2obo4bo2bo374b3o4b3o3bo227b3o4b3ob2o$
702b2obo4bo2bo374b3o4b3o3bo227b3o$696bo7b3o4bobo374b3o10b2o4b2o199b3o$
698b3o4b3ob2o378b2o2b2o5bob5o201b3o4b3ob2o$698b3o388b2ob2o7b2o203bo7b
3o4bobo$1090b4o218b2obo4bo2bo$1091b2o219b2obo4bo2bo$1306bo7b3o4bobo$
1308b3o4b3ob2o$1168b2o138b3o90b3o581bo7bob2o$1167b4o230b3o4b3ob2o570b
3o5bo6bo$110b2o663b3o388b2ob2o7b2o219bo7b3o4bobo566bo4bo2b2o3bo2bo$
109b4o662b3o4b3ob2o378b2o2b2o5bob5o221b2obo4bo2bo565b3o4bobo5b2o$108b
2ob2o7b2o566b2o83bo7b3o4bobo291b2o81b3o10b2o4b2o128b2o6b2o81b2obo4bo2b
o565b3o4bobo5b2o$108b2o2b2o5bob5o562b2o89b2obo4bo2bo291b2o81b3o4b3o3bo
135b2o6b2o75bo7b3o4bobo566bo4bo2b2o3bo2bo$107b3o10b2o4b2o651b2obo4bo2b
o374b3o4b3o3bo222b3o4b3ob2o570b3o5bo6bo$107b3o4b3o3bo652bo7b3o4bobo
284b2o88b3o10b2o4b2o215b3o581bo7bob2o$107b3o4b3o3bo654b3o4b3ob2o286b4o
88b2o2b2o5bob5o$107b3o10b2o4b2o554b3o90b3o295b2ob2o7b2o79b2ob2o7b2o$
108b2o2b2o5bob5o556b3o4b3ob2o360bo17b2o2b2o5bob5o76b4o$108b2ob2o7b2o
539bo18bo7b3o4bobo358bo15b3o10b2o4b2o75b2o$109b4o549b2o22b2obo4bo2bo
356b3o15b3o4b3o3bo$110b2o549b2o23b2obo4bo2bo374b3o4b3o3bo$680bo7b3o4bo
bo374b3o10b2o4b2o231b3o$129b2o551b3o4b3ob2o378b2o2b2o5bob5o5b2o226b3o
4b3ob2o$129b2o56b2o415b2o76b3o314bo73b2ob2o7b2o8b4o223bo7b3o4bobo$186b
4o414bobo6b2o2bo85b3o292bobo5bo67b4o16b2ob2o7b2o52b2o166b2obo4bo2bo96b
2o$185b2ob2o7b2o404bo2b2o5b2obo2bo83b3o4b3ob2o281b2obo3bo2bo2bo64b2o
17b2o2b2o5bob5o7b2o38b4o165b2obo4bo2bo95b4o$185b2o2b2o5bob5o401b2o3bo
4bo4bo81bo7b3o4bobo48b3o229bo3bo3bobob2o80b3o10b2o4b2o4b4o36b2ob2o7b2o
150bo7b3o4bobo94b2ob2o7b2o$140b2o6b2o34b3o10b2o4b2o399bo5bo4bo2bobo86b
2obo4bo2bo7b3o38b3o4b3ob2o222bo7b2ob2o78b3o4b3o3bo10b2ob2o7b2o27b2o2b
2o5bob5o148b3o4b3ob2o97b2o2b2o5bob5o$140b2o6b2o34b3o4b3o3bo406bo5bo4bo
2bobo86b2obo4bo2bo7b3o4b3ob2o26bo7b3o4bobo219bo7b2ob2o78b3o4b3o3bo10b
2o2b2o5bob5o22b3o10b2o4b2o146b3o106b3o10b2o4b2o$184b3o4b3o3bo406b2o3bo
4bo4bo81bo7b3o4bobo5bo7b3o4bobo29b2obo4bo2bo216bo3bo3bobob2o80b3o10b2o
4b2o2b3o10b2o4b2o20b3o4b3o3bo262b3o4b3o3bo$94b2o88b3o10b2o4b2o398bo2b
2o5b2obo2bo83b3o4b3ob2o14b2obo4bo2bo29b2obo4bo2bo214b2obo3bo2bo2bo83b
2o2b2o5bob5o4b3o4b3o3bo27b3o4b3o3bo262b3o4b3o3bo$93b4o88b2o2b2o5bob5o
401bobo6b2o2bo85b3o24b2obo4bo2bo23bo7b3o4bobo215bobo5bo87b2ob2o7b2o8b
3o4b3o3bo27b3o10b2o4b2o255b3o10b2o4b2o$92b2ob2o7b2o79b2ob2o7b2o405b2o
118bo7b3o4bobo25b3o4b3ob2o219bo95b4o17b3o10b2o4b2o21b2o2b2o5bob5o258b
2o2b2o5bob5o$92b2o2b2o5bob5o76b4o536b3o4b3ob2o28b3o326b2o19b2o2b2o5bob
5o4bo2bo15b2ob2o7b2o262b2ob2o7b2o54bo$91b3o10b2o4b2o75b2o537b3o19bo
368b2ob2o7b2o7bo20b4o272b4o64bo$91b3o4b3o3bo26b2o20b2o592bobo5bo362b4o
28b2ob2o5b2o274b2o63b3o$91b3o4b3o3bo26b2o20b2o591b2obo3bo2bo2bo359b2o
20b3o5bo3b4o503b2o$91b3o10b2o4b2o569b2o65bo3bo3bobob2o314bo63bo2b3o3bo
3b4o503bobo6b2o2bo27b2o$92b2o2b2o5bob5o5b2o564bobo6b2o2bo56bo7b2ob2o
311bobo5bo52bo3bo3bobo2b2o362b2o144bo2b2o5b2obo2bo25bobo6b2o2bo$18bo
73b2ob2o7b2o8b4o562bo2b2o5b2obo2bo54bo7b2ob2o310b2obo3bo2bo2bo48bo3bo
3bobo2b2o361b4o121b2o21b2o3bo4bo4bo24bo2b2o5b2obo2bo$17bobo5bo67b4o16b
2ob2o7b2o52b2o500b2o3bo4bo4bo51bo3bo3bobob2o314bo3bo3bobob2o50bo2b3o3b
o3b4o354b2ob2o7b2o112bobo6b2o2bo9bo5bo4bo2bobo24b2o3bo4bo4bo223bo$16b
2obo3bo2bo2bo64b2o17b2o2b2o5bob5o7b2o38b4o499bo5bo4bo2bobo48b2obo3bo2b
o2bo319bo7b2ob2o49b3o5bo3b4o354b2o2b2o5bob5o107bo2b2o5b2obo2bo7bo5bo4b
o2bobo24bo5bo4bo2bobo221bobo5bo33bo$18bo3bo3bobob2o80b3o10b2o4b2o4b4o
36b2ob2o7b2o490bo5bo4bo2bobo49bobo5bo323bo7b2ob2o58b2ob2o355b3o10b2o4b
2o106b2o3bo4bo4bo7b2o3bo4bo4bo25bo5bo4bo2bobo220b2obo3bo2bo2bo28bobo5b
o$21bo7b2ob2o78b3o4b3o3bo10b2ob2o7b2o27b2o2b2o5bob5o486b2o3bo4bo4bo51b
o327bo3bo3bobob2o48bo371b3o4b3o3bo113bo5bo4bo2bobo5bo2b2o5b2obo2bo25b
2o3bo4bo4bo200bo22bo3bo3bobob2o25b2obo3bo2bo2bo$21bo7b2ob2o78b3o4b3o3b
o10b2o2b2o5bob5o22b3o10b2o4b2o391b2o90bo2b2o5b2obo2bo286bo90b2obo3bo2b
o2bo51bo2bo367b3o4b3o3bo113bo5bo4bo2bobo6bobo6b2o2bo26bo2b2o5b2obo2bo
199bobo5bo18bo7b2ob2o25bo3bo3bobob2o$18bo3bo3bobob2o80b3o10b2o4b2o2b3o
10b2o4b2o20b3o4b3o3bo398bobo6b2o2bo79bobo6b2o2bo287bobo5bo84bobo5bo
336b2o88b3o10b2o4b2o106b2o3bo4bo4bo7b2o39bobo6b2o2bo200b2obo3bo2bo2bo
14bo7b2ob2o28bo7b2ob2o$16b2obo3bo2bo2bo83b2o2b2o5bob5o4b3o4b3o3bo27b3o
4b3o3bo397bo2b2o5b2obo2bo77b2o298b2obo3bo2bo2bo81bo342b4o88b2o2b2o5bob
5o107bo2b2o5b2obo2bo48b2o214bo3bo3bobob2o9bo3bo3bobob2o30bo7b2ob2o$17b
obo5bo87b2ob2o7b2o8b3o4b3o3bo27b3o10b2o4b2o391b2o3bo4bo4bo379bo3bo3bob
ob2o421b2ob2o7b2o79b2ob2o7b2o91b2o19bobo6b2o2bo269bo7b2ob2o5b2obo3bo2b
o2bo29bo3bo3bobob2o$18bo95b4o17b3o10b2o4b2o21b2o2b2o5bob5o393bo5bo4bo
2bobo381bo7b2ob2o419b2o2b2o5bob5o76b4o100bobo6b2o2bo7b2o281bo7b2ob2o6b
obo5bo31b2obo3bo2bo2bo$115b2o19b2o2b2o5bob5o4bo2bo15b2ob2o7b2o397bo5bo
4bo2bobo381bo7b2ob2o418b3o10b2o4b2o75b2o100bo2b2o5b2obo2bo285bo3bo3bob
ob2o9bo39bobo5bo$136b2ob2o7b2o7bo20b4o406b2o3bo4bo4bo379bo3bo3bobob2o
420b3o4b3o3bo185b2o3bo4bo4bo283b2obo3bo2bo2bo52bo$22b2o113b4o28b2ob2o
5b2o406bo2b2o5b2obo2bo377b2obo3bo2bo2bo422b3o4b3o3bo185bo5bo4bo2bobo
263bo19bobo5bo$22b2o114b2o20b3o5bo3b4o412bobo6b2o2bo7b2o371bobo5bo13bo
412b3o10b2o4b2o178bo5bo4bo2bobo262bobo5bo13bo$95bo63bo2b3o3bo3b4o412b
2o19bobo6b2o2bo360bo19bobo5bo406b2o2b2o5bob5o5b2o173b2o3bo4bo4bo262b2o
bo3bo2bo2bo$94bobo5bo52bo3bo3bobo2b2o438bo2b2o5b2obo2bo48b2o327b2obo3b
o2bo2bo52bo349b2ob2o7b2o8b4o171bo2b2o5b2obo2bo77b2o185bo3bo3bobob2o$
93b2obo3bo2bo2bo48bo3bo3bobo2b2o439b2o3bo4bo4bo7b2o39bobo6b2o2bo317bo
3bo3bobob2o9bo39bobo5bo343b4o16b2ob2o7b2o52b2o109bobo6b2o2bo79bobo6b2o
2bo176bo7b2ob2o$33b2o6b2o52bo3bo3bobob2o50bo2b3o3bo3b4o433bo5bo4bo2bob
o6bobo6b2o2bo26bo2b2o5b2obo2bo318bo7b2ob2o6bobo5bo31b2obo3bo2bo2bo340b
2o17b2o2b2o5bob5o7b2o38b4o108b2o90bo2b2o5b2obo2bo174bo7b2ob2o$33b2o6b
2o55bo7b2ob2o49b3o5bo3b4o433bo5bo4bo2bobo5bo2b2o5b2obo2bo25b2o3bo4bo4b
o318bo7b2ob2o5b2obo3bo2bo2bo29bo3bo3bobob2o356b3o10b2o4b2o4b4o36b2ob2o
7b2o192b2o3bo4bo4bo171bo3bo3bobob2o$98bo7b2ob2o58b2ob2o435b2o3bo4bo4bo
7b2o3bo4bo4bo25bo5bo4bo2bobo314bo3bo3bobob2o9bo3bo3bobob2o30bo7b2ob2o
354b3o4b3o3bo10b2ob2o7b2o27b2o2b2o5bob5o188bo5bo4bo2bobo168b2obo3bo2bo
2bo81bo$95bo3bo3bobob2o48bo450bo2b2o5b2obo2bo7bo5bo4bo2bobo24bo5bo4bo
2bobo312b2obo3bo2bo2bo14bo7b2ob2o28bo7b2ob2o354b3o4b3o3bo10b2o2b2o5bob
5o22b3o10b2o4b2o186bo5bo4bo2bobo169bobo5bo84bobo5bo$2bo90b2obo3bo2bo2b
o51bo2bo447bobo6b2o2bo9bo5bo4bo2bobo24b2o3bo4bo4bo314bobo5bo18bo7b2ob
2o25bo3bo3bobob2o356b3o10b2o4b2o2b3o10b2o4b2o20b3o4b3o3bo193b2o3bo4bo
4bo171bo90b2obo3bo2bo2bo$bobo5bo84bobo5bo506b2o21b2o3bo4bo4bo24bo2b2o
5b2obo2bo315bo22bo3bo3bobob2o25b2obo3bo2bo2bo359b2o2b2o5bob5o4b3o4b3o
3bo27b3o4b3o3bo192bo2b2o5b2obo2bo264bo3bo3bobob2o$2obo3bo2bo2bo81bo
535bo2b2o5b2obo2bo25bobo6b2o2bo338b2obo3bo2bo2bo28bobo5bo363b2ob2o7b2o
8b3o4b3o3bo27b3o10b2o4b2o186bobo6b2o2bo258b2o9bo7b2ob2o$2bo3bo3bobob2o
616bobo6b2o2bo7b2o18b2o351bobo5bo13bo19bo371b4o17b3o10b2o4b2o21b2o2b2o
5bob5o188b2o269bo2bo8bo7b2ob2o$5bo7b2ob2o6bo21b2o584b2o18b2ob2o5b3o
362bo18b2obo391b2o19b2o2b2o5bob5o4bo2bo15b2ob2o7b2o464b2o6bo3bo3bobob
2o$5bo7b2ob2o5bo22b2o604bo2b2o10bo378b2obo5b3ob2o401b2ob2o7b2o7bo20b4o
190b2o287b2obo3bo2bo2bo$2bo3bo3bobob2o8bo627b4o6b2o3b3o377b2o3bo4b2o2b
2o400b4o28b2ob2o5b2o192b2o287bobo5bo$2obo3bo2bo2bo638b2o4b2o3b2o2bobo
381b2o5bo4bo400b2o20b3o5bo3b4o196bo290bo$bobo5bo13bo628b2o4b2o3b2o2bob
o381b2o5bo4bo421bo2b3o3bo3b4o130b2o$2bo19bobo5bo621b4o6b2o3b3o377b2o3b
o4b2o2b2o418bo3bo3bobo2b2o136bobo6b2o2bo$21b2obo3bo2bo2bo52bo564bo2b2o
10bo378b2obo5b3ob2o420bo3bo3bobo2b2o135bo2b2o5b2obo2bo$23bo3bo3bobob2o
9bo39bobo5bo557b2ob2o5b3o381b2obo435bo2b3o3bo3b4o130b2o3bo4bo4bo$26bo
7b2ob2o6bobo5bo31b2obo3bo2bo2bo554b2o393bo437b3o5bo3b4o130bo5bo4bo2bob
o263bo$26bo7b2ob2o5b2obo3bo2bo2bo29bo3bo3bobob2o1394b2ob2o132bo5bo4bo
2bobo262bobo5bo$23bo3bo3bobob2o9bo3bo3bobob2o30bo7b2ob2o1380bo148b2o3b
o4bo4bo262b2obo3bo2bo2bo$21b2obo3bo2bo2bo14bo7b2ob2o28bo7b2ob2o1381bo
2bo143bo2b2o5b2obo2bo264bo3bo3bobob2o$22bobo5bo18bo7b2ob2o25bo3bo3bobo
b2o1531bobo6b2o2bo269bo7b2ob2o$23bo22bo3bo3bobob2o25b2obo3bo2bo2bo
1533b2o281bo7b2ob2o$44b2obo3bo2bo2bo28bobo5bo1817bo3bo3bobob2o$45bobo
5bo13bo19bo1236b3o583b2obo3bo2bo2bo$46bo18b2obo1255b3o4b3ob2o574bobo5b
o$65b2obo5b3ob2o1242bo7b3o4bobo572bo$66b2o3bo4b2o2b2o1246b2obo4bo2bo$
70b2o5bo4bo1245b2obo4bo2bo$70b2o5bo4bo1239bo7b3o4bobo$66b2o3bo4b2o2b2o
1242b3o4b3ob2o$65b2obo5b3ob2o1244b3o$65b2obo1282b3o$67bo1283bobo$1351b
o2bo$1351bo3b2o$1352b2ob2o$1354b3o$1401b3o$1348bo52b3o4b3ob2o$1347bo6b
3o5b2o6b2o27bo7b3o4bobo$1348bo13b2o6b2o33b2obo4bo2bo$1350b2ob3o49b2obo
4bo2bo$1350bo3b2o43bo7b3o4bobo$1351b2o48b3o4b3ob2o$1308b3o41bo48b3o$
1308b3o4b3ob2o35bo$1306bo7b3o4bobo28bo3bo$1312b2obo4bo2bo29bobo19b2o$
1312b2obo4bo2bo51b2o$1306bo7b3o4bobo27b3o$1308b3o4b3ob2o$1308b3o$1329b
3o$1329b3o4b3ob2o$1327bo7b3o4bobo29bo18b3o$1333b2obo4bo2bo7b3o20bo17b
3o4b3ob2o$1333b2obo4bo2bo7b3o4b3ob2o8b3o15bo7b3o4bobo$1327bo7b3o4bobo
5bo7b3o4bobo29b2obo4bo2bo$1329b3o4b3ob2o14b2obo4bo2bo29b2obo4bo2bo$
1329b3o24b2obo4bo2bo23bo7b3o4bobo$1350bo7b3o4bobo25b3o4b3ob2o$1352b3o
4b3ob2o28b3o$1352b3o19bo$1373bobo5bo$1372b2obo3bo2bo2bo$1374bo3bo3bobo
b2o$1377bo7b2ob2o$1377bo7b2ob2o$1374bo3bo3bobob2o$1372b2obo3bo2bo2bo$
1373bobo5bo250b2o$1374bo257bobo6b2o2bo$1631bo2b2o5b2obo2bo$1632b2o3bo
4bo4bo$1632bo5bo4bo2bobo263bo$1632bo5bo4bo2bobo262bobo5bo$1632b2o3bo4b
o4bo262b2obo3bo2bo2bo$1631bo2b2o5b2obo2bo264bo3bo3bobob2o$1632bobo6b2o
2bo269bo7b2ob2o$1632b2o281bo7b2ob2o$1912bo3bo3bobob2o$1910b2obo3bo2bo
2bo$1911bobo5bo$1912bo$1709b2o$1709bobo6b2o2bo$1708bo2b2o5b2obo2bo$
1643b2o6b2o56b2o3bo4bo4bo$1643b2o6b2o56bo5bo4bo2bobo263bo$1709bo5bo4bo
2bobo262bobo5bo$1709b2o3bo4bo4bo262b2obo3bo2bo2bo$1616b2o90bo2b2o5b2ob
o2bo194b2o6b2o60bo3bo3bobob2o$1616bobo6b2o2bo79bobo6b2o2bo196b2o6b2o
63bo7b2ob2o$1615bo2b2o5b2obo2bo77b2o281bo7b2ob2o$1616b2o3bo4bo4bo357bo
3bo3bobob2o$1616bo5bo4bo2bobo23b2o238bo90b2obo3bo2bo2bo$1616bo5bo4bo2b
obo23b2o237bobo5bo84bobo5bo$1616b2o3bo4bo4bo262b2obo3bo2bo2bo81bo$
1615bo2b2o5b2obo2bo264bo3bo3bobob2o$1616bobo6b2o2bo7b2o260bo7b2ob2o20b
2o$1616b2o19bobo6b2o2bo248bo7b2ob2o20b2o$1636bo2b2o5b2obo2bo48b2o193bo
3bo3bobob2o$1637b2o3bo4bo4bo7b2o39bobo6b2o2bo179b2obo3bo2bo2bo$1637bo
5bo4bo2bobo6bobo6b2o2bo26bo2b2o5b2obo2bo178bobo5bo13bo$1637bo5bo4bo2bo
bo5bo2b2o5b2obo2bo25b2o3bo4bo4bo179bo19bobo5bo$1637b2o3bo4bo4bo7b2o3bo
4bo4bo25bo5bo4bo2bobo197b2obo3bo2bo2bo52bo$1636bo2b2o5b2obo2bo7bo5bo4b
o2bobo24bo5bo4bo2bobo199bo3bo3bobob2o9bo39bobo5bo$1637bobo6b2o2bo9bo5b
o4bo2bobo24b2o3bo4bo4bo203bo7b2ob2o6bobo5bo31b2obo3bo2bo2bo$1637b2o21b
2o3bo4bo4bo24bo2b2o5b2obo2bo203bo7b2ob2o5b2obo3bo2bo2bo29bo3bo3bobob2o
$1659bo2b2o5b2obo2bo25bobo6b2o2bo202bo3bo3bobob2o9bo3bo3bobob2o30bo7b
2ob2o$1660bobo6b2o2bo7b2o18b2o212b2obo3bo2bo2bo14bo7b2ob2o28bo7b2ob2o$
1660b2o18b2ob2o5b3o223bobo5bo18bo7b2ob2o25bo3bo3bobob2o$1680bo2b2o10bo
221bo22bo3bo3bobob2o25b2obo3bo2bo2bo$1680b4o6b2o3b3o240b2obo3bo2bo2bo
28bobo5bo$1680b2o4b2o3b2o2bobo241bobo5bo13bo19bo$1680b2o4b2o3b2o2bobo
242bo18b2obo$1680b4o6b2o3b3o261b2obo5b3ob2o$1680bo2b2o10bo264b2o3bo4b
2o2b2o$1680b2ob2o5b3o271b2o5bo4bo$1681b2o281b2o5bo4bo$1960b2o3bo4b2o2b
2o$1959b2obo5b3ob2o$1959b2obo$1961bo!

RakeGuy1246 · Post by **RakeGuy1246** » October 3rd, 2020, 11:13 am

What about a 90 degree rotation rake rake?

ConwayLife.com

Challenge: Moving Rake Gun (AKA Rake Rake)

Challenge: Moving Rake Gun (AKA Rake Rake)

Re: Challenge: Moving Rake Gun (AKA Rake Rake)

Re: Challenge: Moving Rake Gun (AKA Rake Rake)

Re: Challenge: Moving Rake Gun (AKA Rake Rake)

Re: Challenge: Moving Rake Gun (AKA Rake Rake)

Re: Challenge: Moving Rake Gun (AKA Rake Rake)

Re: Challenge: Moving Rake Gun (AKA Rake Rake)

Re: Challenge: Moving Rake Gun (AKA Rake Rake)

Re: Challenge: Moving Rake Gun (AKA Rake Rake)

Re: Challenge: Moving Rake Gun (AKA Rake Rake)

Re: Challenge: Moving Rake Gun (AKA Rake Rake)

Re: Challenge: Moving Rake Gun (AKA Rake Rake)

Re: Challenge: Moving Rake Gun (AKA Rake Rake)

Re: Challenge: Moving Rake Gun (AKA Rake Rake)

Re: Challenge: Moving Rake Gun (AKA Rake Rake)

Re: Challenge: Moving Rake Gun (AKA Rake Rake)

Re: Challenge: Moving Rake Gun (AKA Rake Rake)

Re: Challenge: Moving Rake Gun (AKA Rake Rake)