Spaceship Discussion Thread

[HartmutHolzwart]

Nice: Now the base ship no longer looks like an amoeba but more a compact blob…

It’s a pity that Keith’s programs are not easily available to the public. Other people making clever use of its features would potentially open a lot of new use cases.

[Sokwe]

It’s a pity that Keith’s programs are not easily available to the public. Other people making clever use of its features would potentially open a lot of new use cases.

By this I assume you mean that his programs are not easily usable (and some experimental features might not be available). Keith's code is available here, and he discusses his techniques and explains how to use his code in this thread. He's been very helpful whenever I've asked a question, but there is still much about the use, much more the code, that I don't understand. I view it as an almost necessary consequence of a tool that's so powerful and feature-rich.

[dbell]

Here is a c/3 period 99 forward rake.

Code: Select all

#C A c/3 period 99 forward rake.
#C This uses two period 9 backward rakes whose interaction is
#C perturbed by several period 3 spaceships.
#C David I. Bell, 12 January 2024
x = 132, y = 194
49b3o$29boo13booboobo$27b3oboo11boo4boboo$24boo5bob3o7bobbo3bobobo$24b
oo5boo17bobob3o$23bo4b3obbooboobo8bo3bo3bob3o$24b3obboboobobobboo7bo8b
obobo$25boo5boobbo4bo9bo3boo3bo$13boo5b3obboo7boboboobbo4boo3booboo$7b
oo3bobbo4b3o7bobb3ob3obbo12bo8bo$4booboobboo3bobbo3bo8bobobobo7bo16boo
4b3oboo$b4obbobobboo25bobbo4boo13bobobboo4boo$o4bo8b5o4bo15bob3obbobo
11bobo3boobbobobbo$boo9bobobobobobboo19bo14boobo3booboobo$9boobobbobbo
boo3bo6b3o9boo12bo3bob3oboobbo$6b4obboo3bo6bobo4bo3boobo4boo14bobboobb
o5boboo$5bo4bobbo9bo3bo3b3o3b3o3bobo11boobobo4bobobooboo$6boo15booboo
bboo4bo3bo5bo7b3o4bobbo3boo$22b4oboobo8bo4bobbobboob4ob3o3boboboboobo$
21bo3bobbobbo5bo11bobo8bo7bobobbo$20bo5bobobobo5bo7booboboboo5bo9bo$
26bobo5bo3boo5bo3bo3b3o$20bobo5bo5b3o8bobobo3b3o$19booboobooboobbobboo
bboo11bo$13boboobb3obbooboboobboboo4bo4b3o3bo3bo$9b3obooboboo5bo3bobob
o4bo12boobbo$8bo6boo14bo5bo3bo12bo$9boo3bo3boobb4o3bo5b4obo5booboo$20b
o3boboo3boo3b3o3booboob4o6bo9boo$22boo6bo7bo5b3o3boo5b4o6bobbo$34boobb
obbo3bobo8bo3boo4boo3bo$9b3o23bobboobbo4boobo5bobo3bo3b5o$7boobobo21bo
bo9b3o8b4oboo$11bo23b4obobboo3bo9boobobob3o3boo$b3obbo30boobbooboboo4b
oob5o3b4o4boo$obob6o32bo8boboo12bo4b4o$bo4bobo24bo7boobo4boo4bo6bobobo
bo3bo3boobo$4boo6boobo3bo11b4o4boobbo4bo10bo4bo4boboobo3b3o$8boboobobb
oob3o3bo5bo3bo4bobbooboboboboobboobo6bob3o6bo3bo$10bobbo4bo4b4o3bo3bo
8bo6boboobb3o8bobo10bo$9boobob3obo4bo3bobobo8b3oboboobo5bo14boo$13b3o
bboo5bobo3boo9bobobobobbob4o$12bo3b3obbooboo5boo12b5o3bobbooboo3bo$17b
oo3bo3boo3bo10bo3bobboobbo5boboobob3oboo$15bobbobbo4bo4boo9boboo3bo6b
oo5bobo4boo9bo$18bo9boobob4ob3oboboobbo3bo10bo3bobobbo7b4o$36boboboboo
boo5boo8boobbo12bo3bob3o12b3o$20boboo6bo4boobo4bo3bo6boo6bobo13boobobb
o3bo8b4oboo$19boobooboob3o4bobboo3b3obobobbo24boboboo3boo9boo4bob3o$
18bobboboboob5obo3bo9b3o21boboobobobbo12bo4bobo3bobo$19bo6bo9boboboo4b
obobboobo16b3obobbobobo8b5obo4boobobbo$27bo6boobbobo3bo3bo5bo15bo3bobo
14b3obobobbob4obo$35boobob4o6bo20bobboboobo3boo5bobboboboboo3bo5bo$32b
oo5b4o3booboboboo24bo9b4obbo3bo5boobbobo5boo$34bo3bo4boob5o10bo5boo6b
3o6bo23bo3bo3booboobb3o$34boo13bo7b3ob3obboo16bo10bobo11b3o8bobo3boobo
$34boo8b4obo6bo6b5oboo12bobobb6o19bo3b4o3bo3b3o$33boo4boobboo4bo7bobob
o4bobboboo10bo4b4o15boo3boobobobo7bo3bo$38b3o3boobboo8boobo7boboo14bob
o8bo8b5obo3bobbo9bo$32bobb3obbo3boboo11bob3o3bobobobo12bo9b4o6boboboob
ob3oboboobo$31b7obo4b4oboo5booboboobbobobobbobo13bo3booboo3bo4b3o9b3o
3b3o$31booboo6bo4bo8boob4obo4bob6o9bobo3boobbo7bo3bo9boobbo3bo$36bob3o
6boobbo5boo7bobobo7bo6b3o3bobbo6boo22bo$34bobboboobo3bobobo8b3obobbo3b
3oboobb4o19bobo5bo$34bo7bobobobo10bobobbo5boo8boboboo7bo6boobobbob3o$
38bo7bo15bo13bobo3bobbo6b3o5bobboboo$40bobbo38bobobo5b3obboo4bo6bo$38b
3o35bobbo3bobo5bob3oboo4boboobooboo$76boobo11bobbo3bobbo3booboo$78boo
4bo6boob3obobo3bo3b3o3b3oboobo$76bob3o3bo9boobobboboob3o4boo4booboo$
40bobo37boo10bo6bo6bobo6bobbobobbo$41boo37bo3b3obboobo3bobb3o3b4o3bo3b
o5bo$41bo20boo9boo8bo4bo7bo3boo3bo4bobo$61booboo4booboo5bobbo4boobboob
oo3bo7bo$60bo9boo3bo4b5oboo5booboo23bo$44bo16b3obobboo3bobo6bo9b4o24b
4o$42bobo15b3o3b3obbo13bobbo8bo21bo3bo$43boo14boo3bo5bo12bo3b4oboobbo
23bo3bo4bo$57bo10booboob3oboo4boboobooboo29bobob4o$55b3o6bo8boo3boboo
4bo35boo3bo3bo$45bo5booboo7boobobo8bo3boo6b3o5boo23boo4bobo$46boo3boo
bbobb3o7bo4bobo4booboobo4boo4boobo11boobob4obobobo$45boo3bobbo6bo3bo7b
obbobboo4bobb3oboo3bo3boo3boo4booboobbob3o$60bo3bo8bobb4obobobo5bo8boo
3booboobobo4bo$61bo18b6oboboo8boobboo3bo4bobo3b4o$48bo25bo3boobo5bobo
13bobboboobbo6boo$49bo14bobobob6obbo9bo12bobbob5o4b4o$47b3o10b3oboobob
oobo8bo5boo12bobboobboobbo$59bo6bobo12b3obobobobbo3b3obobbobo6boo$60b
oo3bobbo9boo9bobobob4oboo$67bobo7b3o4b3obbobobo7boo$49bobo17bo7bobo3b
oo8boboo4bo5b3oboo$50boo29boobooboo3boob3o5boboo4boo$50bo27boobo3b3o3b
obobbo3bobbo4bobobbo$78boboobo6boobo3boob4oboo$78bobobobo3bo4bo3bo$53b
o23boobb4o3bo4b4obo$51bobo26bo4b3o5boob3o$52boo31boob5o3boo$88bo9bo$
81boobb4o$54bo26boobo3bobbobobb3o$55boo25b4o4bobb6o$54boo25bo6bobbo7b
oo$87boo4boo$81boo3bo4bo8bo$57bo24boobo5bob3oboo$58bo24boboobobbobbobo
$56b3o23bobbobboboboo$84bobobo3bo$$91bo$58bobo29bo$59boo29b3o$59bo3$
62bo25bobo$60bobo25boo$61boo26bo3$63bo22bo$64boo20bobo$63boo21boo3$66b
o18bo$67bo15boo$65b3o16boo3$82bo$67bobo11bo$68boo11b3o$68bo3$71bo7bobo
$69bobo7boo$70boo8bo3$72bo4bo$73boobbobo$72boo3boo3$72boo$72boo6$91bo
11bo$89b4o9b4o$88boo3bo7bo3boo$77bo7bobo4bo9bo4bobo$56boo18bobo5boo3bo
7bo7bo3boo$53booboo18bo8bo3boo5b3o5boo3bo$53boobobo17bobbo7boboo4bo3bo
4boobo$53boobb3o25boobbo6b3o6bobboo$53b3obobob3o7boo3bo12bo5b5o5bo$51b
oo11bo5bobbobo9bo3bobooboo3booboobo3bo$58bobbobo7booboobboo7boo3bo9bo
3boo$51bobbo19bo3boo11bobboo3boobbo$56bo5boo9bo4bo$56boo3bobbo$60bo11b
o5bo$56bo3bo37b3o$56bo3bo12booboo19bo$58boo15bo20boo$90boboobboobb3o$
89boobooboo5bo4boo$88bobboo3boboo4booboo$94b4o6boo3bo$90boboboo8boo$
92bo$89boo$50bo37boobbo$49boo39b3oboo$49bobo34bobbo5b3o$87bob4obo3bo$
94boo4bo6bo$95bo4boo4boob3o$94bo3bobboobboo5bo$96bobbobobbo5boo$97bob
3o4bo$24b3o71b3obb3obo$24bo72boo3b3o$25bo78bobbo$105bo!

The reaction at the back is long and vigorous, so there might be a smaller period 3 spaceship that could delete it.

BCNU,
-dbell

[HartmutHolzwart]

It’s a pity that Keith’s programs are not easily available to the public. Other people making clever use of its features would potentially open a lot of new use cases.

By this I assume you mean that his programs are not easily usable (and some experimental features might not be available). Keith's code is available here, and he discusses his techniques and explains how to use his code in this thread. He's been very helpful whenever I've asked a question, but there is still much about the use, much more the code, that I don't understand. I view it as an almost necessary consequence of a tool that's so powerful and feature-rich.

By this I mean that there is no readymade Windows executable that runs on a small laptop like WLS does.

Seriously: I don’t see a real user base so far. And this is a pity. I’m sure other people would come with new ideas and use the programs in ways Keith didn’t think about or just doesn’t have the time to try out!

Edit: No offense intended. Maybe it just translates into me getting old and no longer being able to follow the youn geniuses. When David Bell came out with lifesrc, I took it, compiled it on the machine I had and modified it for my projects. Then at some point in timge I started to use WLS, but never got to adapt it. I have some POC for a toroidal version of that, but gave up on that when Nicolay Beluchenko came up with his version. And that's where I still stand.

One of the lifesrc modifications I did back in the 2000s was low period support for high period stuff, but nowhere as flexible and efficent as Keith's programs. I never really recovered from loosing that version in a hard disk crash... Since then I muted to user only. So I have to get by with WLS and gencols as they are.

[dbell]

Here is a c/3 period 117 backward rake.

Code: Select all

#C A c/3 period 117 backward rake.
#C This uses two period 9 backward rakes whose interaction is
#C perturbed by a few period 3 spaceships.  This is actually a triple
#C backwards rake, with two of the glider streams being deleted.
#C David I. Bell, 13 January 2024
x = 152, y = 390
90boo$90booboobo14bo$88boo3bob3o10boboboo$89boboboo3bo8bobbobboobo$86b
oobob3o3bo8boobbobb5o$81booboobobobboo8booboboobboo5bo$81boo4b3obo9bo
3bo9bobbo$80bo3boboboo3bo6bo4boboboobobboo$86b3o10bo3bobo3b3o$93boo4b
4obobob3o4bo$68boboo4b3o7bo13boo4bo$67booboobo5bo6bo6b3o3b4o$66bobbobo
boo4b3o11bo4bo3bo$67bobobboboboobobbo11bobbo30b3o14b3oboo$69bobo7bo3bo
13bobo8boo6b3o8bo3booboo4booboo4boo$67bobo3bobbobbobobo13boo6booboo5b
oob3ob3obbobo4boo4boo4bobobbo$66boobo4bobobbo22b4obboo5boo8bobo6bobobb
oboboo$69bobboob3obobooboo9boobobbo4bo4bo3boobobobboboboboobo3bobboo$
66boo5bobobo8b3obo4b3o4boo7b3o4bo3bobbobobboobobo$69boboobbobo4bo5bob
oobbo18bobbob3o3boo13bo$69bobobo6bobobboboobob4o6b3o5boobob3ob3o3bobb
3o$92bo3bo12b3obob3obbo3bo4boob3o$87bo4bobobo4bo4b4obboo3bob3o3bo3bobo
3bo$86b3o4b3o5bo3boobbobbobboobobbo11boo$86booboo3bo5boo6bo7bo4bo3bo$
86bo14boo3bobobob3o5bobb4o$87boobbo9boobobbooboob4o6bo3bo3bo$91bobbo6b
obobooboobbobo3bo3boo5b4o$90boobboo3bobo7bobo3bobboobo7bo3bo$71b4o7b3o
8boboboob4obboo7bobboobo5bobbobo$71boobo5boobobo4bo7boobboo6boo16bo$
70bo4bo5bobobo4bo3bobboo8bo$73bobbobooboobo7bob4o4bobbobo$69bo4b5obo
16boobbo3boo$69boo9bobobbo8boo4boboo$67boo10b4oboob4o4boo3boboo31b3o$
64boobo5b3ob3obb3obobob3obb4o3bo31bo$61b4obb3o3b3obo5bo5bo3bobo4b3o4b
3o18boo3boo$60bo4bo3boobb3obo6bobob4ob3obo8boboboo9b3ob4obobboobb3o$
61boo7boo10boobo5bo4b3o8bo7b3obboo3boo3bobooboobbo4boo$70boo14boo3bo3b
obo3boo9bo3bob4obobobbo4b3o5booboo$93bobo3boo8b6obo3bobboo3bo3bobo6boo
3bo$81booboobbooboboobooboo9boboobbo3bo3boobo7boo4boo$71boboob3obobob
oobb3o8bo12b3obo3boo4b4o$60boo8booboo5bobobo6bo4boobo7bobb4o6b4obboo$
40bo14bobooboo7bobbobobobo11b3o3booboobobbobbobobobbo6boo$38boobobo10b
3obo3boo6bo5boboo7bobooboo5bobob3obbobo$35boboobbobbo8bo3boobobo16bo7b
obbobb3o7bo8bo5bo$34b5obbobboo8bo3b3oboboo12bo8boboobo4boo4bobobo3bo4b
3ob3o$33bo5boobbooboboo8boobbobobooboo18boboo4boo4bo3bo4bobobo6bo$33bo
bbo9bo3bo9bob3o4boo17boo3bobobooboobobobb3obbo3bo3boo$35boobboboobobo
4bo6bo3boobobo3bo15boo4b5obbooboob9o$40b3o3bobo3bo10b3o22bobo3bo4bo3bo
bo3boboo$36bo4b3obobob4o4boo28boobobobobobo3bo5bo$45bo4boo13bo7b3o4boo
bo7b3o6boo6bo$49b4o3b3o6bo6bo5bobooboo10bobb6oboo$49bo3bo4bo11b3o4boob
obobbo14boo5bo$boob3o14b3o30bobbo11bobboboobobobbobo6b3obooboo8bo$boo
4booboo4booboo3bo8b3o6boo8bobo13bo3bo7bobo15boobboo4bo$obbobo4boo4boo
4bobobb3ob3oboo5booboo6boo13bobobobbobbo3bobo9boo3b3ob3o$7boobobobbobo
6bobo8boo5boobb4o22bobbobo4boboo6b3obb3obbo3b4o$11boobbo3boboobobobobb
oboboo3bo4bo4bobboboo9booboobob3oboobbo8boo4boo3bo6boo$16boboboobbobo
bbo3bo4b3o7boo4b3o4bob3o8bobobo5boo5b3obboo7bo$12bo13boo3b3obobbo18bo
bboobo5bo4bobobboobo8bobobobobboob5o$21b3obbo3b3ob3oboboo5b3o6b4oboboo
bobbobo6bobobo10bob3ob3o4boo$17b3oboo4bo3bobb3obob3o12bo3bo33bo4bobb3o
$16bo3bobo3bo3b3obo3boobb4o4bo4bobobo4bo30bobobobobo$17boo11bobboboobb
obbobboo3bo5b3o4b3o35bo$26bo3bo4bo7bo6boo5bo3booboo35bobo$25b4obbo5b3o
bobobo3boo14bo35boo$20bo3bo3bo6b4obooboobboboo9bobboo$19b4o5boo3bo3bob
obbooboobobo6bobbo$18bo3bo7boboobbo3bobo7bobo3boobboo38bo$19bobobbo5bo
boobbo7boobb4oboobobo8b3o7b4o17boo$23bo16boo6boobboo7bo4boboboo5boboo
18boo$44bo8boobbo3bo4bobobo5bo4bo$44bobobbo4b4obo7bobooboobobbo$45boo
3bobboo16bob5o4bo14bo$48boobo4boo8bobbobo9boo13bo$14b3o31boobo3boo4b4o
boob4o10boo11b3o$17bo31bo3b4obb3obobob3obb3ob3o5boboo$17boo3boo18b3o4b
3o4bobo3bo5bo5bob3o3b3obb4o$12b3obboobbob4ob3o9boobobo8bob3ob4obobo6bo
b3obboo3bo4bo$6boo4bobbooboobo3boo3boobb3o7bo8b3o4bo5boboo10boo7boo3bo
bo$6booboo5b3o4bobbobob4obo3bo9boo3bobo3bo3boo14boo12boo$5bo3boo6bobo
3bo3boobbo3bob6o8boo3bobo36bo$9boo4boo7boboo3bo3bobboobo9boobooboobob
oobbooboo$22b4o4boo3bob3o12bo8b3obboobobob3oboobo$24boobb4o6b4obbo7bob
oo4bo6bobobo5booboo10bo$28boo6bobbobobobbobbobooboo3b3o11bobobobobbo9b
obo$41bobobb3obobo5booboobo7boobo5bo10boo$33bo5bo8bo7b3obbobbo7bo$29b
3ob3o4bo3bobobo4boo4boboobo8bo$28bo6bobobo4bo3bo4boo4boobo28bo$29boo3b
o3bobb3obbobobooboobobo3boo25boo$37b9obooboobb5o4boo25boo$39boobo3bobo
3bo4bo3bobo$43bo5bo3boboboboboboo$43bo6boo6b3o27bo$45boob6obbo30bo$44b
o5boo35b3o$43bo8booboob3o$43bo4boobboo$46b3ob3o3boo$42b4o3bobb3obb3o
25bobo$41boo6bo3boo4boo24boo$46bo7boobb3o25bo$44b5oboobbobobobo$44boo
4b3ob3obo$48boo3bo4bo24bo$49boobobobo26bobo$48boo33boo3$51bo30bo$52bo
27boo$50b3o28boo3$79bo$52bobo23bo$53boo23b3o$53bo3$56bo19bobo$54bobo
19boo$55boo20bo3$57bo16bo$58boo14bobo$57boo15boo3$60bo12bo$61bo9boo$
59b3o10boo$$80boo5b3o9boo$70bo9boobooboboboo7booboobo$61bobo5bo9bobobb
obobo3bo4boo3bob3o$62boo5b3o7bobbo3boobobo4boboboboo3bo$62bo15bobb4obo
bo5b3obob3o3bo$81boboobobobbooboobbo3bo$78bo4b4o6boobbobboo$67bobo7b3o
9bo4bo5b3o$67boo6boo3bo6bo6bo3boobboo$68bo6b3o3boobbo8boo3boo$76boo3bo
12bo4booboo$63bo5bo24bo$63boo4boo$62boo3boobbo$65boo4boo$65boo5bo$63bo
6boboo$64bo3bobobo3boo$64bo3boboboo$67bo4boobboo$70bo$68b3obo$68bobboo
$67boo12b3o$68boo10bo3boobo$69boo9bobo3b3o$70bo8boo4bo3bo$78b3o7bo$80b
obo$82boo$80bo3bo$80bo$80boobo$83bo4bo$44bo3bo32b3o3bobo$42b3oboobobo
34bo3bo$38booboo6bobbo29bo3boboo$38boobbobbo3bobboobboo25boo$37bobbo4b
obbobbooboboo$48boo4bo3bo22bobbo$47boobbobbobobo23bobo$49bo$55b3o7$65b
3o$64bo3bo$64bo3bo$62boo5boo$61bobboboo3bo$61bobbobbo3bo$65bo5bo$61bo
3boboboo$61bo3bobo$47boo12bo5bo$44booboo$44boobobo13bobo$44boobb3o11b
ooboo$44b3obobob3o8bobo$42boo11bo8bo$49bobbobo12boo$42bobbo21boobboo$
47bo5boo12bob3o$47boo3bobbo12boboo$51bo14boobo$47bo3bo15bobo$47bo3bo
16bobo$49boo18boo15$60b3o$$53bo16bo$52bobo9b3obbobo$52bobo8bo3bobbo$
53bo9bo3bo$62b5oboo$61boo7bo$61boobboo3bo$65boo3bo$37b3o27boo$35boo3bo
$34bo3bobbo18boo$34bo6boobo14bobbo$37b3obooboo13bobbo$34b3o3boboobbo
12booboo$33boo26boo$45bo$37b3o4boo$38boo3b3o$38boobboo$41b3o$39bobbo$
41bo$$61bo$59boo$60boo21$73boo$73booboo$72bobobb4o$71bo4bo4bo$71bo7boo
$71bo$73b3o$76bo$72boobo$71bo$74boo$72bo3bobb3o$73bo5b3o$75bobbo3bo$
75bobbo$74boo$74b3o$74boo28$31bo$30bo$30b3o67$bobo$boo$bbo!

I'd trade two of those backward gliders for a forward glider any day. Maybe some related perturbation can generate one.

BCNU,
-dbell

[amling]

It would be nice to have a diagonal c/4 period 4 ship eater, like the recent glider eater. (Actually, it would be nice to have a block eater too.) I wonder if LLSSS could find these, or maybe the glider eater was just lucky.

I think in this case you would need eaters with absolutely fabulous clearance on one side, so they can pick off one piece at a time without hitting the rest. Even so, it's an interesting idea and worth some searching. For the glider eater I had searched at 2c/8d for an eater for a stream and got lucky that it acted independently. To even have a line of blocks it would have to be 3c/12d and even that doesn't leave a lot of space for interactions. I think better to try a higher multiple with a strict constraint file, like what I was doing to try to produce a c/2 hive eater above.

Even preliminary searches sketched for 4c/16 with only 4 generations of interaction to clean up are able to find a partial something like this, pictured eating a line of blocks or not:

Code: Select all

x = 62, y = 29, rule = B3/S23
8b2o$8b2o3$12b2o$12b2o2$10bo34bo$9b2o5b2o26b2o$9bobo4b2o26bobo$13bo34b
o$13bo34bo$12bo7b2o25bo$14bo5b2o27bo$9b2o2bo2bo27b2o2bo2bo$8b2o6bob2o
23b2o6bob2o$10bob2o31bob2o$12b3ob2obo27b3ob2obo$9bob2o3b3o25bob2o3b3o$
2o3b3obo3bo2b2o17b2o3b3obo3bo2b2o$obobob2o5b2o3bobo14bobobob2o5b2o3bob
o$obobo2bo2bobob2obo2bo14bobobo2bo2bobob2obo2bo$b4o3b2o6b3o3bob3o9b4o
3b2o6b3o3bob3o$b2o8bo3b2obobobo2b2o9b2o8bo3b2obobobo2b2o$b2obo3b2ob2o
2b2o4bobo12b2obo3b2ob2o2b2o4bobo$b8ob3o3b2o2b4o12b8ob3o3b2o2b4o$2bo2b
2ob2o8b2o2b2o13bo2b2ob2o8b2o2b2o$4bo3bo3b2obobobo2bo16bo3bo3b2obobobo
2bo$5bo4b3obo4bobo18bo4b3obo4bobo!

TBD of course whether or not I can solve this (especially with acceptable NE clearance), whether I can find anything for other debris objects, etc. Also my hands are pretty tied right now with search projects so it may be a while before I get back to this with a reasonable amount of memory to run any serious (non-"preliminary") searches.

The partials got a lot better when I opened it up to 6 generations of interaction and I was able to swing it eventually, even maintaining the perfect diagonal clearance (the NE-most lane is the first one that can touch the block). Here is a final solved strict p4 c/4d block eater, eating a line of haphazardly spaced blocks and avoiding/clearing a block even a single lane over:

Code: Select all

#C [[ TRACK -1/4 -1/4 ]]
x = 35, y = 53, rule = B3/S23
7b2o$7b2o3$10b2o$10b2o4$15b2o$15b2o3$19b2o$19b2o2$22b2o$22b2o3$15b2o2b
o$14b2o5bo$15bobo3b4o$15b2ob4o$15b3o4bobo$19bo$19b5o$9b2obo2b2o2b2o2bo
2bo$8b2o3bob3o4b4obo$9bo2bo3b2o4b2o$9bo2bo2b2o3b3o$9bo9bo$3o14bo4bo$o
2b4obo8bo4b2o$b3ob4obo$3b3o2bobo6b2obo4bo$17bo5b2o$10bo3b3o6bo2bo$9b2o
3bo10bo$15bo8b2o$21b2o$20b2o$22bobo$22b2o3bo$22bo3b2o$22bo3bobo$22bo$
26b5o$23b2ob2o2b3o$31bo$25bo3bobob2o$26bo$27bob2o!

Unfortunately there are quite a few possible target objects (and orientations) and this is a rather labor intensive process. Any guesses as to which would be most valuable to pursue?

[dbell]

> Here is a final solved strict p4 c/4d block eater, eating a
> line of haphazardly spaced blocks and avoiding/clearing a
> block even a single lane over:

That is an amazing find! It's reasonably small too.

Of course my first application of it is to resurrect my older ugly period doubling reaction.

Code: Select all

#C A diagonal c/4 convoy which can period double a stream
#C of sideways gliders whose period is a multiple of 16.
#C This depends on a phase-changing period 16 spaceship and a
#C block eating period 4 spaceship.  This is demonstrated here
#C with an input period 64 glider stream.
#C This is a much smaller version of a previous convoy.
#C David I. Bell, 16 January 2024
x = 140, y = 141
100bo$99boo$99bob3o$103bo$98bo$95b4obobobo$95bo5bobbo$96bobb4o$95boobb
oo$89boo4boo$89bobbobboo$79bo3bo4bobboobbobbo$78b5obbobo4bobbo$78bo6b
3o3bo4boo$76bobobb4oboobbo13boo$75b3o3boo17b3ob4o$75bobbooboo15boo8bo$
56bo10b3o10bobboo13bobbo6bo$55boo10bo6bo4boo3bo14boo$31bo17bo5bobo10bo
bb3oboo3bo4bo10b4o4boo$30b6o12boo20bo4bo7boobo8boobbo$30bo7boo8bobo3b
oobobo11bobobbo6bo3bobb3ob3o$31bo6bobo11bo7boo8b3o9boo6bo5bo$33bobobbo
b5o6bo4bo5boo5boo12bo8bo3bo$34bo6bo9bobbobb6o4boobb3o5boo4boo3boboo$
42boo23bobb4o4boo9b3o24b3o$45bo21b3obo3boboob9o5bo8bob3o8bo$45bobo20bo
6bobo8bo8boo4b3o15bo$61bo5boobobo4bo22boobb5o8bobbo$47boboboob3o4boo4b
obboo3boo11boo9boob3o3bobbo5bo3bo$52bo4boobbobo5b6obo5boo4bo9boo3bobb
oo3bobboobboo$49bo12b4obo5boboob3obbobbo3bo8bo4b4o4boobbo$59bo5boobbob
o5b3o4b3obbob3o10bobo4bobbobo$56bob4o5bobobo10b6o3b4o5boo8bo5bo$51bo3b
oo7b3o4bo3bobo4bobobobboboo3bobboobbo3b3o4boo$43boo5b3obbo9b3o9bo5b3o
bboo6boobbo10b3oboo$42boo5b3o3bo5bobobboboobo11boobb3ob3o3bo8boobb6o$
44bo4bo11b4o21bo3bobb3obo8booboobobobobo$46boo4bobo11bo20bo9boo7bobboo
3bo3bo$46boo5bobo6bobb3oboo22bobbobo6boob3o3boo$47bo5bobo7bobbobo21b4o
4boob4obobboo$49bobbo11bo25bo3bo4bobbo5bo$44boobbobbo20bo18bobo5boo$
43boobbobboobbo15bobo$42bo3bo4bo3bo15boo$42bobb3obboobo$43bo5bob3o3bo
18bo$53bo20bobo$44boo8bo20boo$44bobo7bo$47bo7boo23bo28bo$44bobbo7boo
21bobo27boo$44bobo7boo23boo27bobo$50b3ob3o$50bo5bo27bo26boo$51bobb3o
25bobo26boobb3o$83boo30boobo$56bobo54bo4bo$55b3o30bo23b3o4bo$50booboo
3bo27bobo23bo5bo$49boo5bo30boo10boo12bobobboo$51bob3o42boo$92bo7bo9b3o
$90bobo9boo6booboo$53b3o35boo9boobboobbob3o9bo$53bo51boobobboo10b5o$
52boboo40bo9bo4boo10bobboo$51boobo39bobo6boo3bo16boobo$51b5o39boo6boo$
50bobbo49bo24bobo$50b3o47bo3booboo$52bo45bobo5bobo12b3o6b3o$51bo47boo
15bo4bobb3o4b3o$51bo51bo11boo5boob5ob3o$104boo9bobo3b3o4booboo$102bobo
bboo18bobo$103boobboo8b3o6bobbo$116b3o7bo$118bobob4obbo$3o13b3o13b3o
13b3o13b3o13b3o13b3o21booboo$bbo15bo15bo15bo15bo15bo15bo21b6o$bo15bo
15bo15bo15bo15bo15bo16$99b3o$99bo$100bo$102boo$103bo$$100bo$97b4obo$
97bo4bo$98bo4boo$100bobb3o$104boo$101booboo14b3o$102boboo14bo5boobo$
102bobo18b3o3bo$103boo15bo3b3o3bo$121bobo3bo$122boboo$124bobb3o$114b3o
3boob3o5boo$114bobb4o3bobbo3boo$115boob3o$114b3o4b3obb4o$107bo14bo3bob
o$106b6o12bo3boo$106bo7boo12boo$107bo6bo8boo$109bobobbo8boo5bo$110bo4b
o5boboo4b3o$115boo3b3o6bobo$115boo3bobo8boo$130boo$126b3o$126bobbo$
128bo$127boo3boo$127boo3bobo$127b3obbo$132bo$129boboob3o$131boo5bo$
130b3o6bo$136bobo$132boboo!

Here is a new period 288 sideways rake using it.

Code: Select all

#C A diagonal c/4 period 288 sideways rake.
#C This uses a base period 72 rake which is period doubled
#C twice using two different period 16 convoys.  This is a
#C smaller version of a previous rake.
#C David I. Bell, 16 January 2024
x = 492, y = 211
19b3o$19bo$20bo$19b3o$19b3oboo3$22bo$21boo$21bo$22b3o$$22boobo9boo7boo
$22boo11bobo4boobo$24bobo8bo6b3obb3o$38bo3bobbobbob3o$26b3o9bobobboboo
bb3o$38bobobbobo4boo$19b3o6bobo6b6o$19bo15b3o4bo16boo$20bo9bo3bo8bo9b
oo4bobo6b4o$22boo5boo3bobbo4boobbo5boo5bo6bo5bo$23bo5boo3b3obb5o10bo
10boo3b3o$29boo7b3o4b4o3b3o9bo5bo56boo$20bo14bobbo5b7obbo4boob4obo60bo
bo$17b4obo5b3obb3o3bo15boboobbo4bobo58bo$17bo4bo6boobboo15bobbob4o71bo
$18bo4boo4boobboo19bobo73boo$20bobb3o5b3o24bo71boo$24boo6b3o94boo176b
oo$21booboo3bo3boo85boo6boo177bobbo$22boboobb3obo3b3o81bobo3boobbo90b
oo84bob3o$22bobo3bobboo87bo5b3o91boobboo85bo$23boo6boo3boobbo82bo98boo
bo78boboo3bo$33boobboobo82boo95b3obboo76b5obobo$31boo4bobo87bo89boobb
oobboo76bobbo$25bo4bo5bobobo85bobo88bo4bobo79bobbobbo$17boo5boboboobb
oo3boo88bobo87bo4bobo80bobo$16boo5boo3boboob4obboo54bo33bo88boobo75boo
3bobbo$18bo3boobbo3boo7boo53boo32booboo85boo76boobbobobbo$20bo6boo5boo
58bobo31bo81b3obbobboo66booboo5bobb5o$19bo6boo5bo8bobo30bo38boo12bo3bo
77bo3bo3bo67bob3obooboo3bobbobo$18boobbo9boo9boo29b5o18boo14boo11boo
72boobboo7bo3bo68bo9bobbo4bo$18b3obb3o4boo11bo30bobboo6bobo3b3o3boo8b
oo6bo9boo72booboboo3b3o5bo65boobobboboobbo13boboo$18bo6boobbo46boobo4b
oobbobbo12boob5o5bob4obbo3bo70bobo4boobo7bo64bo3bo19b3obooboo$14b3ob3o
7boobo14bobo33boboo3b3ob4o6bo5b3o4bo6bobobbo68b5o21bob3o48bo6bob3o18b
oobbobboobo$14bo4bo9bob5o11boo24boo4bobo4bobbo6bo5boobobo6bobo5bob3o9b
oo6boo50boo3boo17boobo4boo33boo10boo9bo3b3o13bo$16bo8b5obboo13bo25bobo
4b3o3boo7boo4bo4boobob5o4boobboo9boo7bobo42boo7boobo3bo14bobb6o34bobo
9bobobb4o3b3ob3o14bo$11b4oboo6bo48bo11bo15boboo3boo5bo9bo10boo6bo32boo
10bobo3bob3o3boobbo12bo17booboo13boo5bo15b3oboobboobbobo9b3o$11bo3boob
oo4bo5bo19bobo23bo3boboobboo3bo9bo4bo8bo3bo3bobboo5b3o11bo28boo11bo3bo
3boobobbo3bo10boo18bob3o13bobo3boobbo11bobbobo7b4o4bobbo4bo$12bo5boo4b
obo4boo18boo23boo4bo4bobboo4boobbobbo11boobboobbo9b3o10bobo3boobbo13b
oo5bo14boo4bobbobo13boo19bobboo3boo8bo11bo29boobbobbo$11boobo3bo7boo
23bo25bo12bo3boob6o3bobboo4b5o3b3obob3o7boo5bobobboo4bo11boo5boo15bobo
boo6boboo3boobbobboo24booboboo7bo3boo3b3o6bobbo9b3o5boboobboo$11boo4bo
4boob3obb6o35boo3bobbob3o3boob3obo6bobbobboo9bobbobb4ob4o6bobo4bo6boob
obb3o9bo4bobobboo21bo7bo3b5o21bo5boboo7boo4boo4bo4boo3bo8b3o7boo$14bo
bb4oboob3obboo4bo17bobo14bobobboo3bo8b4obbobobobb3ob8o9boo5boboboobbo
6bo8boobbooboboo7boo3boob4o5boo12bobo5bo3boboo22bo5bo3bo12b7o3boo4bo4b
3o8booboo23bo$12bobobbooboboobboo27boo8b3o3bo4b7o4bobo5bo6bo9bobo4bobo
7bo5boo5bo3bo15bobobo6boo10bo3bobobboo5boboobo4boo3bo33bo15b4o4bo6boo
bbo4boo4b6o12bo9boo$12bo5b3o5bo28bo9bo6boo5boo4boo6b5oboobboboobboobo
18booboo5bo4bo17bo20bo3b3obboo4boobobbo3bo5bo21boo12bobo20bobobobbobbo
bb11o4bo7boobo9bobo$20bo5boo3bo3b3o28bobboobb3obo7bo7boo7bo18boo10boo
6bo3bo19bobo11bo8bo5b3obbo7boo6boo10bo10bobo13bo23boo5bo3b4obo8bo4boob
o4bo$12bobo11bo3boobobbo21bobo8boo3boo5bo4bo46bo7b3o23bo13boo10b4ob3ob
o5bo5bobo7b4obo8bo15bobo6bo5boo4boobo4bobo21bo5b4o9bobo$10b4o11boobboo
bbo25boo7bobobbobbo3bobo22boo28boboobo27bo20bo3bo5boobo5boboo10boboo4b
o8bobo17b3ob3obboo5bo6b4o10boo8bo3bo5bo7booboo$9boo13b3obbobobbobbo21b
o8boo3boo9boo4b3o4boo6bobo26bobo32bo4boboo4b3o4b5obbooboo3boo15b4o3bob
oo7boobo13bob4ob3o3bo4boboo3bo5bobboo3boo9bo3bo5bobbob6o$9bo11boob3o4b
o5bobboo26booboo4b3o3b3o3bo7bobo5bo28bobbobbo28boboobbo3bobbo5bo7boob
oo8b3o8boo6boboo4bo5bo23bo3boobobboo3boboo3boboobboob4o5boo3boo6b3obb
oo$11bobo6boo3bo5bobbobooboo21bobo4bob4o3boboob3obo4bo4bo10bo63bobbobo
bboboo4bobbo3bo3bo3b3obbo4bo5boo3bo8boboo4bo24boob3obobo4bo3boobbobo
11bo5bo3boboo3b3obboo$10b3o9b4o5bo4bo3bo13boo7boo4bobb3obo14bo16b3o62b
oo3bob3obbobo3bobb6oboo5boob3o6boo3b3obobbo30b6o3bobboobboo3boo4bo4boo
5bo4b3o5b4o3bobo$11bo10b4o9b6o13bobo6bo6boo3bobo9b3obo6bobobo75bo4bo3b
obobob3o8bo3bobb3obo4bobbob5obo4bo21b3obb3oboo3bo3bobo5bo5bo6bobo3b3ob
o8b7o$9b3o8boo10boo3bobboo12bo31boob3obbobbobb4obboo65bo3bo6bob6oboobb
o6boo4bo5boboboobo4bo7boboo10b3o4bobboboo12bobo5bo5bo3bo6bobb5o5bobbo
6bo$5boo4boo6bo6boo6bobobo18bo8bobo17bo4b6o6b3o59bo6b4o6bo7bobo4boo4b
3o3boo5boo5bo9b4o13bo6bobbo8bobobbobo14bobboo3b3oboboo7b4o7bo$4boobo5b
o5bobbo11boo21boo3bo4boo24bobbo3bo4bo58boo5bobboboo4bo7bo13boobboobboo
bo6bo5bo4b3o15bo4boobo9bob3obo18bobb3oboobbo7bo6bo4bo$5bobb3obo6boboo
11b4obbo16boobbobo3bo7b3o18bo3bo4bo58bobo4bob3o9bobooboo15b3o3bo3bo9b
5o6boo13b4o4boo6bobboboo25bobobbo15bobbo$4b3o9boo11b3o3boobobo17boboo
bbo5boo25bo70bobbooboo6boobo4bo17boobboo3bobo8b3o7b3o15bo3boobo9bobboo
21bobo8b3obobobbobboo$3obooboo6boo3bo7bobbob3o4bobo15boobob3o3bobbo3b
oo90bo6boo7boo3bo23bobo9b3o7b4o15b3o3boo9booboboo20b5obb8obo3bo$o14bo
bbo8bo4boobo4bobo15bobo3boo3bobbo4boo88bo3bo13bo5bo20boo5bobbo3bobbo6b
oo18bo3bo37bo3bo7bo6bo$bbobbo8boo11bo5bo6bo17bo5bo5boo98boobobbo9boob
3o20bo3bo3b3o3bobboboo18b3obbooboo18bo27boo$boo4bo8bo12boo8b3obb3o17b
oo12bo87b3o43bobobo7bo26booboobb3o19boo$bb4o8boo10boo3bo7boo3bo12boo
16boo88bobooboo3bo18bo55bobo9bo16boo$14boo10bo4boo6boo4bo10boboo14bob
oo3boo81bo3b5oboo19bo54boob3o5boo$16bo11bo8bo9b3o5bo4bo17bob3o81bo8boo
bo16b3o58bo4boboo20bo$15boo8boobo3bobboobboo7b6oboo3bo18bobbo81b6o4bo
bbo74bo8boo21boo$15bo12bo3boobbo14bo4bo21boobo8boo73booboo7bo20bo53boo
7boo20boo$16bo10b4obboobobbo10bobo4boo18bo11bobbo73bo10bo21bo52bobo7bo
$33b4o4bo7b3o24booboo9boo10boo61boo10bo19b3o28boo23b3o6bobo22bo28boo$
33boo5bo7bo27boo24bobo61bobbo6bo50boo24b3o32boo26bobo$30b3obo4bo9bobo
31boo17bo63bo10bo24bo26bo23bo5bobo25boo27bo$31boobobbo12b5o27bobo81bo
bbo33bo27boo25booboobo54bo$30b3obo16boobo27boo13boo68bo4booboo24b3o26b
o5bo21boboo3bo25bo27boo3bo$30bobboo3boo56bobbo72bo3bo57boobo25boo27boo
25boobbobo$30bo8bo53bo3boo73boboo3bo26bo28bo3bo24boo25boo27boboobbo$
25boobb5obo57boo82bo29bo23boobb3o25boo55boobob3o$24boo3b4o3b3o52boobo
84bo25b3o23boobo27b3obo28bo24bobo3boo$26bobobo58booboo15boo65bo42bo13b
o3bo19b3obbo33boo22bo5bo$29bo60boboo15boo61bo3boboo30bo7boo11boo5boo
17bo37boo9b3o17boo$28boo141boo3bo34bo6bobo10b3o24bo3boo42bo12boo$91bo
bbo76bobobboo31b3o10bo7boboo28bo36bo7bo10boboo$91bobbo81boo43bo3booboo
bobbo27bo37boo7b3o5bo4bo$86boo3boboo80boo37bo6bo3boob3o30boo36boo9b6ob
oo3bo8boobo$86bobo3bo83boo37bo11boboo29bo52bo4bo12bo3bo$87boo22b3o61b
oo36b3o7bobbo4bo27booboo39bo8bobo4boo10bo4bo$86b3obboo18boo3bobo54boo
bbo45b3o78boo5b3o19boo$86b4obbo15b4obbob3o54b3o42bo3bobbo32bo4bo39boo
5bo24bobo$88bo19boo3boo4bo53bobboo41bo3bobobo30bo52bobo$101bobo4bo7bo
bbo97b3o8bo29boboo45bo4b5o13bo6boo$91bo9bo5b3o6b3o52boo51bo3bo29bobo
47boo3boobo12b5o4bobbo$88b3o14bob3o4boo55booboo46bo36boo46boo14boo4bo
6boo$117bo54bo50bo88bo10bobo11bo$99bo7bobbobbooboo55boo46b3o88boo9bo5b
oboo6bobo$97boboo6bobbobboobobo195b3o7boo4bo4bobo$95boobbo4bo9booboo
192boobboo7bobbo6b3o$95b3o6bo13bobo203bo6booboo$96bo7bo23b3o10bo35bo
35bo35bo76bobobobbo$119boo14bo5boo34boo34boo34boo$131bobbobo3bobo33bob
o33bobo33bobo77bo4bo$131bobboo193b4o$127bo6bo$112b3o15bo3boo$112b3o12b
oo$118boo$117b3o$117bobbo$118b3o$118b3o3$125b3o$105bo19bobbo$104b5o19b
o$104bobboo16b3o$106boobo16bo181bo$122boo6boo175boo$109bobo10boo6boo
16boo157bobo$147bobo$102b3o6b3o27bo4boo162boo$97bo4bobb3o4b3o24bobbobb
o4bo159boo$96boo5boob5ob3o26bo6bo$96bobo3b3o4booboo31bobbo157boboo$
108bobo194b4o36b3o141b3o$98b3o6bobbo10boo182bo3boo36bo143bo$97b3o7bo
12boo29bo158bobbo32bo143bo$99bobob4obbo12bo7bobo17bobo$101booboo18boo
4boo18boo157boo3bo14bo$101b6o16bo7bo12b3o162boo3bo13boo$310bo17bob5obo
$122bobbo184bo20bo3b4o$119boobo188boo17bo3bo$118boo4bo204b3o$120bobobb
o204bob4o$125bo197bo5boo3bobo$122bobbo196b5oboobob3obb3o$123bobo196bo
8b3o5boo$123bobo204boobbo$124boo20boo174boboob5obboboo$124bo21bobo165b
ooboo4bo5boobboo$146bo167bob3o$314bobboo3boo7boo3boo$321boo8boo4bo$
318bo3boo9bo3b3o$318bo3b3o3boobbo4bobo$156bo165bo5bo8bo$154b4o165boo3b
obo9bo$154bo3bo176bobb3o$152bob4o176b5o$150b3oboo178bobbo$154boo180boo
$162booboo170bobboo$157boo4bobo168bo4boo$157boo5bo10boo158boboboo$175b
oo160boobobbo$338bo4bo$343bo$168bo169bobo4b3o$166boobo170boobo$165bo3b
o173bo$165bo4boboo$165boobb3obbo$167bo3boo$169boboo$169bobo$170bo$$
186boo$178boo6boo$171boo$171boo3bobo$175bo$175bobo$174boo5boo$175boo3b
obbo$173boobo3bobo$176booboo$173boobobboo$173b3obo3bo$177bobboo$178bo
bbo$179boo$$166boobo$166bo3bo8boo$166bo4bo7boo$168boo$170bobo$$165bo6b
oo$164b5o4bobbo$158boo4bo6boo$158bobo11bo$158bo5boboo6bobo$159boo4bo4b
obo$159bobbo6b3o$159bo6booboo$161bobobobbo$$163bo4bo$164b4o!

I mentioned a ship eater in my previous message because of the existence of the period 24 ship puffer. An eater for this would produce a period 24 ship:) and also make the period tripling reaction much cleaner. But that's a pretty specific result.

So a blinker eater is my suggestion for a new search. Blinkers are common and there is no orientation problem.

BCNU,
-dbell

[Sokwe]

Here is a final solved strict p4 c/4d block eater, eating a line of haphazardly spaced blocks and avoiding/clearing a block even a single lane over

This is great! I always imagined something like this was possible, but I never had a way to search for it. Here is a p36 beehive puffer (a new puffer period, I think) using this ship and the old p28 puffer:

Code: Select all

x = 59, y = 46, rule = B3/S23
38b2o$38bobo$38bobo$39b3o$39bobo$39b3o$39b2o$40bo$34bo4b3o$33b5o6bo$
33bo6b2ob2o$16b2o$15b2o16bob2o$17bo16bo$19b2o6bo15b2o$18bo7b5o2b2obo6b
obo$26bo2b2o2b4o6bo$17bo2bo7bobo3b2o2b2ob2o$14b2obo11bo11bo$13b2o4bo6b
o2bob3o3bo$15bobo2bo8bo2b2o2bo4bo5bo$20bo6b3o2bo3bo9b2o$3bo13bo2bo7bob
obob3ob2o6bob5o$2b2o14bobo7bo3b4o3bo2b2o5bo4bo$2bobo13bobo7bobo3bo7bo
2bo2bo5bo$15b2o2b2o13bo6bo2b2o10bo$5b2o8bo4bo12bo9bo6b2ob2o2bo$5b2o8bo
3bo6b2o6bo14b2o2b2o3bo$12b2obo2b2o7b2o22bobo$bob2o7bo3bo10b2o24bo2bobo
$4o8bob3obo34b2o3bo$o3b2o12bo35b3o$5bo2bo7bo37bo$12bo3bobo10bo26bo$4b
2o3bob2o4bo10bobo25bo$4b2o3bobob2obobo9bobo$5bo5bo17bo$5bo6bo$6b2o4$
38bo$37bobo$37bobo$38bo!

Any guesses as to which would be most valuable to pursue?

As David Bell said above: the blinker. It's the most common and probably the easiest to delete. After that, a beehive eater would give spaceships of periods 28, 32, 36, and 40. I wouldn't be surprised if there is a ship-to-block converter that could then be cleaned up by the block eater in the case of the p24 puffer.

[amling]

Here is a final solved strict p4 c/4d block eater, eating a line of haphazardly spaced blocks and avoiding/clearing a block even a single lane over

This is great! I always imagined something like this was possible, but I never had a way to search for it. Here is a p36 beehive puffer (a new puffer period, I think) using this ship and the old p28 puffer:

Code: Select all

x = 59, y = 46, rule = B3/S23
38b2o$38bobo$38bobo$39b3o$39bobo$39b3o$39b2o$40bo$34bo4b3o$33b5o6bo$
33bo6b2ob2o$16b2o$15b2o16bob2o$17bo16bo$19b2o6bo15b2o$18bo7b5o2b2obo6b
obo$26bo2b2o2b4o6bo$17bo2bo7bobo3b2o2b2ob2o$14b2obo11bo11bo$13b2o4bo6b
o2bob3o3bo$15bobo2bo8bo2b2o2bo4bo5bo$20bo6b3o2bo3bo9b2o$3bo13bo2bo7bob
obob3ob2o6bob5o$2b2o14bobo7bo3b4o3bo2b2o5bo4bo$2bobo13bobo7bobo3bo7bo
2bo2bo5bo$15b2o2b2o13bo6bo2b2o10bo$5b2o8bo4bo12bo9bo6b2ob2o2bo$5b2o8bo
3bo6b2o6bo14b2o2b2o3bo$12b2obo2b2o7b2o22bobo$bob2o7bo3bo10b2o24bo2bobo
$4o8bob3obo34b2o3bo$o3b2o12bo35b3o$5bo2bo7bo37bo$12bo3bobo10bo26bo$4b
2o3bob2o4bo10bobo25bo$4b2o3bobob2obobo9bobo$5bo5bo17bo$5bo6bo$6b2o4$
38bo$37bobo$37bobo$38bo!

That block snatch is unreal.

As David Bell said above: the blinker. It's the most common and probably the easiest to delete. After that, a beehive eater would give spaceships of periods 28, 32, 36, and 40. I wouldn't be surprised if there is a ship-to-block converter that could then be cleaned up by the block eater in the case of the p24 puffer.

I had started the ship (in that orientation) search already assuming there was some reason it was named first above, but it has not solved yet.

I also quickly started the blinker search with very limited memory and it looks super viable. I was able to solve it almost immediately with not-so-great clearance (blinkers have to be 3 lanes over instead of 1 to avoid a collision):

Code: Select all

#C [[ TRACK -1/4 -1/4 ]]
x = 29, y = 113, rule = B3/S23
3o7$4b3o5$9b3o3$8bo3b3o$7b2o$7bobo2$10bobo$6b2ob2o2bo$6bob2o2b2obo$6bo
9bo$7b2o4bo3bo$7b2o10b2o$8bobobob2o3b2o$9b2ob2obo$7b4o5bo$10b3ob3o$11b
2ob3o5b2o$9b2o4b2o5bobo$8b3o11bo$9b2o4bobo$8b2o5bobo3b2obo$15bo4b3obo$
9bob2o6b2ob2o$10bo6b2ob2o$9b2o6b2ob2o$10bo8b3o$6b2o10bobo$5b2obo2bo6b
2o$7bob2o7b2o$5b2o10b2o$5b2o2bobo$9bobo6bob2o$6b2ob2o8bo$5bob3o8b2obo$
4b2o2b2o10bo$3b3o4bo$3b3o2b2o$8b3o8b3o$5bobo11bo2b2o$7bo14bo$7bob2o8bo
$8bo3bo7b2o$9bo2bo7bo$5bo4b2o$4b2o13b2o$4bobo3bobo9b2o$8bo3bo8b2o$7bo
13bobo$7bo2bo9bo2bo2$24bo$21bo2bo$21b2o$22b2ob2o$22b2o$22b2o2$22bobo$
22bobo$22bo$24b2o$23bo$23b2o$23b3o$24b2o$24b2o$24bo2b2o$24bo$25bo2bo$
24bo$24bo2bo2$24b3o$24b3o$26b2o2$25b3o$25b2o$21b3o$21bo2b3o$23b4o$21bo
b3o$21b2o$21bobobobo$22b2o$20b2o$19bo3bo2bo$22bo3bo$19bobo2bo$21b3o2bo
$22b2obo$23bo$23bobo$24bob2o$25b2obo$20b2o4b2o$20bobo3bo$20bo6bo$23bo
3bo$23b2o!

[dbell]

The new diagonal c/4 blinker eater ship is nice. I'm hoping that its long arm can be reduced.

It's too bad that it cannot be used to clean up traffic lights. The phase is wrong for the second blinker it tries to eat. But single blinkers are still really common.

This new period 80 rake gets to show off both eaters.

Code: Select all

#C A diagonal c/4 period 80 sideways glider rake.
#C This is a smaller version of a previous rake, where period 4
#C block and blinker eater spaceships are used to consume the debris.
#C David I. Bell, 15 January 2024
x = 281, y = 245
19b3o$19bo$20bo$19b3o$19b3oboo3$22bo$21boo$21bo$22b3o$$22boobo9boo7boo
$22boo11bobo4boobo$24bobo8bo6b3obb3o$38bo3bobbobbob3o$26b3o9bobobboboo
bb3o$38bobobbobo4boo$19b3o6bobo6b6o$19bo15b3o4bo16boo$20bo9bo3bo8bo9b
oo4bobo6b4o$22boo5boo3bobbo4boobbo5boo5bo6bo5bo$23bo5boo3b3obb5o10bo
10boo3b3o53b3o$29boo7b3o4b4o3b3o9bo5bo55bo$20bo14bobbo5b7obbo4boob4obo
60bo$17b4obo5b3obb3o3bo15boboobbo4bobo60boo$17bo4bo6boobboo15bobbob4o
71bo$18bo4boo4boobboo19bobo$20bobb3o5b3o24bo68boo$24boo6b3o84b3o5boo$
21booboo3bo3boo84bo6bobo$22boboobb3obo3b3o81bo4boo$22bobo3bobboo89b4ob
o$23boo6boo3boobbo82boo$33boobboobo86bo$31boo4bobo86bobo$25bo4bo5bobob
o86bobo$17boo5boboboobboo3boo55boo$16boo5boo3boboob4obboo52boo32bobboo
$18bo3boobbo3boo7boo54bo18bo12bobboo$20bo6boo5boo38boo21boo14boo13bo$
19bo6boo5bo8bobo28boo3bo6bo5boo3bo16bobo9boboo$18boobbo9boo9boo30boboo
5boo5boo12b3o12boboboobo$18b3obb3o4boo11bo33b3o3bobboboo3boo3bo4boo3bo
boo4boobobbobobo$18bo6boobbo47bo4b5o7bo7bobbobobbo6bobbobbo12bo$14b3ob
3o7boobo14bobo23b3o4boobbo5boo3bobbo3bo5bobob4o5boobo11boo6b3o$14bo4bo
9bob5o11boo23bo7b4obo10bo3boobo8bo3boobboo13bobo5bo$16bo8b5obboo13bo
25bo6bobbobo22bobobo3bobb3obboo18bo$11b4oboo6bo50b3obbo4bobobboo4bo3b
3oboo3bo6bobboobbooboo4b3o11boo$11bo3booboo4bo5bo19bobo27bo3bo4boobbob
obob3obbo3bo5bo4boobobbob3obbo12boo$12bo5boo4bobo4boo18boo25boo3bobb3o
bb3o4bo4bo4bo7bobbob4obboboob3o3b3o$11boobo3bo7boo23bo18b3o3bob4obo3b
oo3bo3b3obbo10bo3bobbo3bo3bobo3bo4bo5bo$11boo4bo4boob3obb6o29boo3bo4b
3o5bo9b3o4bo3b5ob3o6bo8boobooboo3bo4bo$14bobb4oboob3obboo4bo17bobo8bob
o5boboo8b3o4boobo4bo4boboo5bo5bo8b3oboobo4bobbo$12bobobbooboboobboo27b
oo8bo3bo3bobo9boo5bo4bobbobbo17bo9boo7b3obbobo$12bo5b3o5bo28bo12boo3b
4o8boo15bo18bo$20bo5boo3bo3b3o30bo11boo$12bobo11bo3boobobbo21bobo6b5ob
oo3bobo9boo12b3o26boob4obbo$10b4o11boobboobbo25boo9booboobbo3bo8bobo3b
3o5bo29bo3bo$9boo13b3obbobobbobbo21bo10bobooboo3bob5o3bo5bo8bo29bo$9bo
11boob3o4bo5bobboo28bo4bo4bob6obbobo4bo9b3o$11bobo6boo3bo5bobbobooboo
21bobo4boboo4bo5boo3bobobo6bo$10b3o9b4o5bo4bo3bo22boo5b8o11bobboo4b4o
4boobo$11bo10b4o9b6o22bo7b5o9bo5boobb3o4boob4o$9b3o8boo10boo3bobboo13b
3o28boo11boo$5boo4boo6bo6boo6bobobo16bo10bobo4boobo18bobbo5b3o$4boobo
5bo5bobbo11boo20bo10boo4booboboo16boo$5bobb3obo6boboo11b4obbo17boo7bo
7boobbo$4b3o9boo11b3o3boobobo18bo3boo6bo7bo$3obooboo6boo3bo7bobbob3o4b
obo19boo6bobo4boo$o14bobbo8bo4boobo4bobo22boobbobbo21bo$bbobbo8boo11bo
5bo6bo18b6o5boo22boo$boo4bo8bo12boo8b3o17bobboobo27boobo$bb4o8boo10boo
3bo7boo5boo13bo4bo$14boo10bo4boo6boo5bobo10bo6bo7boo19bo$16bo11bo8bo8b
o11bo15boo23bo$15boo8boobo3bobboobboo8bo7boo3bo34boobo$15bo12bo3boobbo
12boobboobobb3o33bo4boo$16bo10b4obboobobbo13bo5bo34boboobbo$33b4o4bo
11bobo3bo29boo3bo4bo$33boo5bo10boboo3bo21boo7boo5boo$30b3obo4bo10boob
oo25boo60boo$31boobobbo12bobbo76b3o9bobo$30b3obo17bobo75bobb3o6bo9bo$
30bobboo3boo12bobboo27boo45bobo16boobo$30bo8bo44boo17boo31bo4boobbo3b
oobbo$25boobb5obo66bobbo28bo6boobboboobbo$24boo3b4o3b3o63bobo31boboobo
3b5o$26bobobo72bo41boo$29bo69boo22bo13bobb6o$28boo60boo7boo21b3o13b7o$
90boo30b3o15b3o$$110boo11bo$94boo13bobbo7b4obo$94boo13bobo8b3obb3o30b
3o$110boo10bob4o30bo$110boo12bo26b3o6bo$110bobbo37bo6bobo$110bo4bo7b3o
26bo4boob4o$100boo8bo3boo7b3o28b4ob5oboo$100boo8bo4bo8bo24bobo3boo7boo
bo$111bobo34bobbo$112bo34boobo$104boo47boo$104boo49bo$124boo20bob4obob
o$124boo21bo3boboo$152b3o$151boo$110boo38boo$110boo38boo$$125b3o$114b
oo$114boo4$170bobobb3o$120boo49b4o$110boo7bo52boo3bo$110bobb3o3b3o46bo
4bo$110bob5obobo46bo6b3o$111bo6boo47b3o$111bo5b3o$111bobbobbo26boo$
114b4o26boo$104boobobbo7bobbo62boo$104boboobboobo3bobbobo61bobo$104bob
oo3bo5bobbobo61bobo$105bo4bo5boo67b3o$105boo3bo3bobo68bobo$96boobbo4b
oo6bob3o27b3o37b3o$95boo4bobboo6b4o69boo$97boobobb3o7boo3boo66bo$99boo
bbo9bobo64bo4b3o$106bo6bobobboobo57b5o6bo$103bobbo3boo6boobo57bo6boob
oo$104bo4boo9bo$105bo5bo8bobo56boboo$116boobbobo57bo$116bo56bo15boo$
116bo55b5obboobo6bobo$118b3o51bobboobb4o6bo$118b6o50bobo3boobbooboo$
118bo45boo9bo11bo$118boo3bo40boo6bobbob3o3bo$118boobbo52bobboobbo4bo5b
o$119b3obb3o46b3obbo3bo9boo$121bo4bobo45bobobob3oboo6bob5o$121b4obobo
45bo3b4o3bobboo5bo4bo$121b4obobo45bobo3bo7bobbobbo5bo$124bo40b3o12bo6b
obboo10bo$179bo9bo6booboobbo$180bo14boobboo3bo$197bobo$199bobbobo$199b
oo3bo$200b3o$200bo13b4o6boo$202bo7boobo5bo4bobo$168bo19boo12bo3b3ob3o
6bo4bo$167bo15boobboobo3bo11bo11b3o6bo$167b3o13bobobboboobobobo3bo5bo
4bobobo4bo5boo$183bo4bobbo6boobo4boo3bobb3o3bobo4boo$187bob4obo3bo4b5o
bboo5bo3boo3boo$186boob3obboobo4boo3bobboo5bo3boobboo$186b3o3boobo6bob
o17bobboo$190boo$189boobo3bo$189boobobb4obo$189boobo7boo$191b4o5b4obo
4bo$192bo5bo4bo3boobo3bo$192bo3bo5bo4bo4boo3boo48boo$191bo10b5o4boo5b
4ob3o40b3o7boo$192bo8bo9boboo4b3o5b3o29boboobb4obo4boo$197booboo14boo
5boobob6obooboo18booboobo12bo$196boo3bo17bo6bobb3obbo3boobbo15bobo3boo
4b3o6boo$198boboo17bo18b3oboobboobbobo6bo5booboo3bo4bo$232bo3bo3bobbob
oobb4obobo3bob5oboobbobo$232bobo6bo4bobb3o3b3obbo3bobbobobbobbobobbo$
246b3o5bo4bobboo11bo$247boo5bo18boobboo18$168bo$167bo$167b3o38$168bo$
167bo$167b3o!

BCNU,
-dbell

[Anivec]

I also quickly started the blinker search with very limited memory and it looks super viable. I was able to solve it almost immediately with not-so-great clearance (blinkers have to be 3 lanes over instead of 1 to avoid a collision):

Code: Select all

#C [[ TRACK -1/4 -1/4 ]]
x = 29, y = 113, rule = B3/S23
3o7$4b3o5$9b3o3$8bo3b3o$7b2o$7bobo2$10bobo$6b2ob2o2bo$6bob2o2b2obo$6bo
9bo$7b2o4bo3bo$7b2o10b2o$8bobobob2o3b2o$9b2ob2obo$7b4o5bo$10b3ob3o$11b
2ob3o5b2o$9b2o4b2o5bobo$8b3o11bo$9b2o4bobo$8b2o5bobo3b2obo$15bo4b3obo$
9bob2o6b2ob2o$10bo6b2ob2o$9b2o6b2ob2o$10bo8b3o$6b2o10bobo$5b2obo2bo6b
2o$7bob2o7b2o$5b2o10b2o$5b2o2bobo$9bobo6bob2o$6b2ob2o8bo$5bob3o8b2obo$
4b2o2b2o10bo$3b3o4bo$3b3o2b2o$8b3o8b3o$5bobo11bo2b2o$7bo14bo$7bob2o8bo
$8bo3bo7b2o$9bo2bo7bo$5bo4b2o$4b2o13b2o$4bobo3bobo9b2o$8bo3bo8b2o$7bo
13bobo$7bo2bo9bo2bo2$24bo$21bo2bo$21b2o$22b2ob2o$22b2o$22b2o2$22bobo$
22bobo$22bo$24b2o$23bo$23b2o$23b3o$24b2o$24b2o$24bo2b2o$24bo$25bo2bo$
24bo$24bo2bo2$24b3o$24b3o$26b2o2$25b3o$25b2o$21b3o$21bo2b3o$23b4o$21bo
b3o$21b2o$21bobobobo$22b2o$20b2o$19bo3bo2bo$22bo3bo$19bobo2bo$21b3o2bo
$22b2obo$23bo$23bobo$24bob2o$25b2obo$20b2o4b2o$20bobo3bo$20bo6bo$23bo
3bo$23b2o!

Reduction

Code: Select all

x = 21, y = 69, rule = B3/S23
3b3o$3bo$4bo$7b2o$3bo2b3o$2b4o2bo$2bo3b2o2b3o$3b2ob2ob4o$4b4obo3bo2bo
$6bobob6obo$4bo3bo4bo$3bo2b2o5bo$4bo2b2o2bo$10b2o3bo3bo$4bo2bo3bo6b2o
$5b2o4bo2bo3bobo$5bo$11b3o4bobo$4b2o6b2o3b4o$7b2o4bob2o$6b2o5b2obo$6b
obo7bo$6bo6bo2bo$2b2ob2o9bo$2bob4o6b2o$2bo11bo2$b2o3b2o5b2o$b2o2b3o8b
2o$2bobo10b2o$bo13bobo$o3b2o8bo2bo$o4bo$o3b2o12bo$o5b2o7bo2bo$3bo11b2o
$b3o12b2ob2o$3bobo10b2o$4bob2o8b2o$5b4o$16bobo$3o13bobo$o6b2o7bo$bo4b
3o9b2o$3b4o10bo$4b2o11bobo$14bob2obo$13b3o$13bo4bo2$13bo4bo$12b2o3b2o
$13bob2o$12bo2b2o$12b2obo$12b3o$12bob2obo$12b2o3bo$12b2o3bo$13bo$15bo
$15bob2o$16bo2bo$20bo$12b2o$11b2o5bo$13bo4b2o$15b2o$15b2o!

[dbell]

Hmmm, I should have waited just a little longer before posting.

Here is an even better period 80 rake, where the blocks get consumed even earlier, and so no blinker eater spaceship is needed.

Code: Select all

#C A diagonal c/4 period 80 sideways glider rake.
#C This is a smaller version of a previous rake, where period 4
#C block eater spaceships are used to consume the debris.
#C David I. Bell, 15 January 2024
x = 205, y = 197
19b3o$19bo$20bo$19b3o$19b3oboo3$22bo$21boo$21bo$22b3o$$22boobo9boo7boo
$22boo11bobo4boobo$24bobo8bo6b3obb3o$38bo3bobbobbob3o$26b3o9bobobboboo
bb3o$38bobobbobo4boo$19b3o6bobo6b6o$19bo15b3o4bo16boo$20bo9bo3bo8bo9b
oo4bobo6b4o$22boo5boo3bobbo4boobbo5boo5bo6bo5bo$23bo5boo3b3obb5o10bo
10boo3b3o53b3o$29boo7b3o4b4o3b3o9bo5bo55bo$20bo14bobbo5b7obbo4boob4obo
60bo$17b4obo5b3obb3o3bo15boboobbo4bobo60boo$17bo4bo6boobboo15bobbob4o
71bo$18bo4boo4boobboo19bobo$20bobb3o5b3o24bo68boo$24boo6b3o84b3o5boo$
21booboo3bo3boo84bo6bobo$22boboobb3obo3b3o81bo4boo$22bobo3bobboo89b4ob
o$23boo6boo3boobbo82boo$33boobboobo86bo$31boo4bobo86bobo$25bo4bo5bobob
o86bobo$17boo5boboboobboo3boo55boo$16boo5boo3boboob4obboo52boo32bobboo
$18bo3boobbo3boo7boo54bo18bo12bobboo$20bo6boo5boo38boo21boo14boo13bo$
19bo6boo5bo8bobo28boo3bo6bo5boo3bo16bobo9boboo$18boobbo9boo9boo30boboo
5boo5boo12b3o12boboboobo$18b3obb3o4boo11bo33b3o3bobboboo3boo3bo4boo3bo
boo4boobobbobobo$18bo6boobbo47bo4b5o7bo7bobbobobbo6bobbobbo12bo$14b3ob
3o7boobo14bobo23b3o4boobbo5boo3bobbo3bo5bobob4o5boobo11boo6b3o$14bo4bo
9bob5o11boo23bo7b4obo10bo3boobo8bo3boobboo13bobo5bo$16bo8b5obboo13bo
25bo6bobbobo22bobobo3bobb3obboo18bo$11b4oboo6bo50b3obbo4bobobboo4bo3b
3oboo3bo6bobboobbooboo4b3o11boo$11bo3booboo4bo5bo19bobo27bo3bo4boobbob
obob3obbo3bo5bo4boobobbob3obbo12boo$12bo5boo4bobo4boo18boo25boo3bobb3o
bb3o4bo4bo4bo7bobbob4obboboob3o3b3o$11boobo3bo7boo23bo18b3o3bob4obo3b
oo3bo3b3obbo10bo3bobbo3bo3bobo3bo4bo5bo$11boo4bo4boob3obb6o29boo3bo4b
3o5bo9b3o4bo3b5ob3o6bo8boobooboo3bo4bo$14bobb4oboob3obboo4bo17bobo8bob
o5boboo8b3o4boobo4bo4boboo5bo5bo8b3oboobo4bobbo$12bobobbooboboobboo27b
oo8bo3bo3bobo9boo5bo4bobbobbo17bo9boo7b3obbobo$12bo5b3o5bo28bo12boo3b
4o8boo15bo18bo$20bo5boo3bo3b3o30bo11boo$12bobo11bo3boobobbo21bobo6b5ob
oo3bobo9boo12b3o26boob4obbo$10b4o11boobboobbo25boo9booboobbo3bo8bobo3b
3o5bo29bo3bo$9boo13b3obbobobbobbo21bo10bobooboo3bob5o3bo5bo8bo29bo$9bo
11boob3o4bo5bobboo28bo4bo4bob6obbobo4bo9b3o$11bobo6boo3bo5bobbobooboo
21bobo4boboo4bo5boo3bobobo6bo$10b3o9b4o5bo4bo3bo22boo5b8o11bobboo4b4o
4boobo$11bo10b4o9b6o22bo7b5o9bo5boobb3o4boob4o$9b3o8boo10boo3bobboo13b
3o16bo11boo11boo$5boo4boo6bo6boo6bobobo16bo10bobo5bo20bobbo5b3o$4boobo
5bo5bobbo11boo20bo10boo5bo21boo$5bobb3obo6boboo11b4obbo17boo7bo$4b3o9b
oo11b3o3boobobo18bo3boo6bo$3obooboo6boo3bo7bobbob3o4bobo19boo6bobo$o
14bobbo8bo4boobo4bobo22boobbobbo13bo$bbobbo8boo11bo5bo6bo18b6o5boo13b
4o$boo4bo8bo12boo8b3o17bobboobo19b5o$bb4o8boo10boo3bo7boo5boo13bo4bo
23bo$14boo10bo4boo6boo5bobo10bo6bo17boobboo$16bo11bo8bo8bo11bo25b5o$
15boo8boobo3bobboobboo8bo7boo3bo3bo18boo$15bo12bo3boobbo12boobboobobb
3o3boo7bobo$16bo10b4obboobobbo13bo5bo5bob5obo$33b4o4bo11bobo3bo8bo3boo
3bo$33boo5bo10boboo3bo8bo3bobbobbo$30b3obo4bo10booboo11b3o30boo41boo$
31boobobbo12bobbo13bob4o25bobbo28b3o9bobo$30b3obo17bobo5bo5boo3bobo24b
obo29bobb3o6bo9bo$30bobboo3boo12bobboobb5oboobob3obb3o21bo31bobo16boob
o$30bo8bo19bo8b3o5boo17boo39bo4boobbo3boobbo$25boobb5obo31boobbo23boo
12bo24bo6boobboboobbo$24boo3b4o3b3o20boboob5obboboo32boo27boboobo3b5o$
26bobobo20booboo4bo5boobboo35b3o35boo$29bo21bob3o81bobb6o$28boo21bobb
oo3boo7boo3boo63b7o$58boo8boo4bo34b3o4boobboo18b3o$55bo3boo9bo3b3o30b
5o3b3obobo$55bo3b3o3boobbo4bobo30boo6boobo$59bo5bo8bo32bo8b3obo$60boo
3bobo9bo28b3obo47b3o$72bobb3o28bo3bo47bo$71b5o30boo7bo35b3o6bo$71bobbo
39bobo34bo6bobo$73boo34bobbo39bo4boob4o$74bobboo32bo31boo9b4ob5oboo$
71bo4boo33bobo28bobboo8boo7boobo$72boboboo33bobbo5boo21bobbo$74boobobb
o31boboo4boo22b3o$75bo4bo33bo$80bo$75bobo4b3o$77boobo$80bo4$126boo$
126boo3$165b3o$164b4o$165boobobo$162bo7boo$162b3o3bobobo$159boobb3obbo
3bo$124b3o13boo17boo4bob4obo$124bo5boobo6boo28boo$127b3o3bo$124bo3b3o
3bo$125bobo3bo$126boboo$128bobb3o50boo$118b3o3boob3o5boo47bobo$118bobb
4o3bobbo3boo47bobo$119boob3o60b3o$118b3o4b3obb4o51bobo$111bo14bo3bobo
52b3o$110b6o12bo3boo51boo$110bo7boo12boo52bo$111bo6bo8boo51bo4b3o$113b
obobbo8boo5bo44b5o6bo$114bo4bo5boboo4b3o43bo6booboo$119boo3b3o6bobo$
119boo3bobo8boo42boboo$134boo44bo$130b3o27boo11bo15boo$130bobbo26boo
10b5obboobo6bobo$132bo39bobboobb4o6bo$131boo3boo36bobo3boobbooboo$131b
oo3bobo36bo11bo$131b3obbo35bobbob3o3bo$136bo38bobboobbo4bo5bo$133boboo
b3o32b3obbo3bo9boo$135boo5bo31bobobob3oboo6bob5o$134b3o6bo30bo3b4o3bo
bboo5bo4bo$140bobo31bobo3bo7bobbobbo5bo$136boboo40bo6bobboo10bo$168bo
10bo9bo6booboobbo$167bo12bo14boobboo3bo$167b3o27bobo$199bobbobo$199boo
3bo$200b3o$200bo$202bo$202bo32$168bo$167bo$167b3o!

This is quite a reduction in size from that first period 80 rake!

BCNU,
-dbell

[amling]

I also quickly started the blinker search with very limited memory and it looks super viable. I was able to solve it almost immediately with not-so-great clearance (blinkers have to be 3 lanes over instead of 1 to avoid a collision):

Code: Select all

(snip)

Here is one (strict c/4d blinker eater) with maximum clearance:

Code: Select all

#C [[ TRACK -1/4 -1/4 ]]
x = 48, y = 70, rule = B3/S23
5b3o7$11b3o5$16b3o3$15bo3b3o$14b2o$14bobo2$17bobo$13b2ob2o2bo$13bob2o
2b2obo$13bo9bo$14b2o4bo3bo$13bobo4bo$13b2ob2ob2o2bo$9b2o3b2o2b5obo$8b
2o3b3o6bobo$10bob3o6bo$12b2o3b3o2bo$11b2o5b2ob2obob3o$11b2o5bob2obo2b
2o$10bobo6bo3bob2o$9b2o9bo2b3o$9bobo6bo3bo3bo$8bo6b4ob2ob2o$9b2o4bo3bo
bob2o$16bobo2bo3b2ob2o$20bob2ob2obobo$24bobobo$12b2o11b2o$12bobo5bo5bo
$12bo6b2ob2o2bob2o$16bob2o2b4o$15b2o2bo2bo7bo$18bo4b2o2b3o$7bo$6b2o6b
3o13b2o$2b2o2bobo2bo2bo14b3o$2bo4bo3bo4bo11b4obo$2bobo3bobobob2o10b2o
6b2o$7bo18b2o5b2o$bo2b2obo18bobo2bob2o7b2o$4o3b2o17b5o2bo7b2obo$o25b2o
3bo2b2o5bo$bo6bo17b3obo3bo4b2obo$27bo3b2ob4ob3obo$2b2o29bob3o$2b3o26b
2o4bo3bo$2b2o31bo7bo$3b2o37b3o$2ob2o28bobo5bo$o32b2o5b2o4bo$bo31bobo3b
o6b2o$30b2obobo2bobobo3b2o$29b2ob2ob3o2bo$31bob2obo2bo$37bobo$41bo$40b
obo!

The initial 4c/16 engagement searches are still in progress for the ship eater...

[May13]

Smaller p116 rakes based on new eaters:

Code: Select all

x = 444, y = 224, rule = B3/S23
75b2o248b2o$75bobo247bobo$75bo249bo$78bo249bo$78b2o248b2o$74b2o2b2o
244b2o2b2o$74bo2b2o245bo2b2o$74bob3o245bob3o$75bo2bo246bo2bo$74bo249bo
$72b3o247b3o$71b2o248b2o$70b2ob5o242b2ob5o$69b2o248b2o$56b3o9b2o3bo
232b3o9b2o3bo$56bo11bobobo233bo11bobobo$57bo5b3ob2obo236bo5b3ob2obo$
59b2o2bo2bo3bo238b2o2bo2bo3bo$60bo4bo4bo239bo4bo4bo$50bo13b2o4bo15b3o
211bo13b2o4bo15b3o$39b3o7b2o11b5o19bo202b3o7b2o11b5o19bo$26bo12bo9bob
5obobob2obo22bo188bo12bo9bob5obobob2obo22bo$25b2o13bo3b2o4bob3o2b3o2bo
26b2o184b2o13bo3b2o4bob3o2b3o2bo26b2o$25bobo14b2ob3o6b2o32b2o185bobo
14b2ob3o6b2o32b2o$32b3obo6bob2ob6obo2bo4bo218b3obo6bob2ob6obo2bo4bo$
28b2o2b2o2b3o2b3obo4b2o4bo5b2o23bo190b2o2b2o2b3o2b3obo4b2o4bo5b2o23bo$
28b2o2b2o3b4o4bobob3o3bo6bobo20bo4bo187b2o2b2o3b4o4bobob3o3bo6bobo20bo
4bo$29b2o6bo4bob2o9bo16b3o9b3obobo188b2o6bo4bob2o9bo16b3o9b3obobo$29b
4obo3bo3bob2o3bo17b2o3bo2b3o5b2ob2o191b4obo3bo3bob2o3bo17b2o3bo2b3o5b
2ob2o$28bobob2obo7b3o3bob3o12bo2bo6b2o4b2o194bobob2obo7b3o3bob3o12bo2b
o6b2o4b2o$27b2o8b2o2bo3bo5b2o2b2ob3o4bo3bo11b2o194b2o8b2o2bo3bo5b2o2b
2ob3o4bo3bo11b2o$27bobo2b3o4b2o3b3o8b2o5b6o2bobo9b2o193bobo2b3o4b2o3b
3o8b2o5b6o2bobo9b2o$26bo17b2o12b2obo4bo10bo3b2o193bo17b2o12b2obo4bo10b
o3b2o$27b2o8bo2bo8b2o19b2o3b2o3b3o194b2o8bo2bo8b2o19b2o3b2o3b3o$33b2ob
2o2bo8bobo13bo4bo2bo2bo2bo203b2ob2o2bo8bobo13bo4bo2bo2bo2bo$33bobo13bo
12b3o9b3o3bobo4b2o194bobo13bo12b3o9b3o3bobo4b2o$32bo2b2o2bo3b2o5bobo
10bobo6b3o7b2o3bobo192bo2b2o2bo3b2o5bobo10bobo6b3o7b2o3bobo$32b3o7b2o
4bo35b2o196b3o7b2o4bo35b2o$32b2ob2obo5bo2bo4b3o27bob4o194b2ob2obo5bo2b
o4b3o27bob4o$33bo12b2o12bo22b2o2bo195bo12b2o12bo22b2o2bo$33bo3bo8b2o6b
obob2obo221bo3bo8b2o6bobob2obo$33bo3bo9bo8bo2bobo221bo3bo9bo8bo2bobo$
34b2obo8b2o10b2o224b2obo8b2o10b2o$34bo7b4obo2bo233bo7b4obo2bo$35bo5b2o
bobobo7b2o227bo5b2obobobo7b2o$35bo7bo4b3o5b2o5b2o220bo7bo4b3o5b2o5b2o$
32b2o3bo20bo3b2o218b2o3bo20bo3b2o$32bobo2b2o9bo9b2o3bo218bobo2b2o9bo9b
2o3bo$32bo24bo4b2o218bo24bo4b2o$37b3o6b2o10bo228b3o6b2o10bo$37b3o6bo2b
2o6bo229b3o6bo2b2o6bo$36bo8bob3o8bo2bo224bo8bob3o8bo2bo$37bobo2bo2b2o
12bo227bobo2bo2b2o12bo$38b2o4bo22b2o219b2o4bo22b2o$39b3o4b2o18b2o3bo
217b3o4b2o18b2o3bo$42b2o4bo19bob2o220b2o4bo19bob2o$48b2o20b3o225b2o20b
3o$38bo5b2o2bob2o18bo217bo5b2o2bob2o18bo$37b2o3b2o2bob2o22b3o212b2o3b
2o2bob2o22b3o$37bobo2bobo2b3o15b2obo4b2o212bobo2bobo2b3o15b2obo4b2o$
30b3o8bo2bo20bob2o3bobo205b3o8bo2bo20bob2o3bobo$30bo10bo3b2o12b2o4bob
2o3b3o205bo10bo3b2o12b2o4bob2o3b3o$31bo3bo13bo8b2o6bo5b3o206bo3bo13bo
8b2o6bo5b3o$33b3o6bo16bobo4b2o4bobo208b3o6bo16bobo4b2o4bobo$32b2obo3bo
4b3o12b3o4b2o2b2o210b2obo3bo4b3o12b3o4b2o2b2o$29b2o4b4obo18b2o6bobo
209b2o4b4obo18b2o6bobo$29bo5b2o2b3o4b2o13bobo3b2o3bo206bo5b2o2b3o4b2o
13bobo3b2o3bo$23b2o4bo7bob3o4b2o5b2o12b4o202b2o4bo7bob3o4b2o5b2o12b4o$
19bo3bobo5b3ob3o2b2ob2o8b2o8bobo203bo3bobo5b3ob3o2b2ob2o8b2o8bobo$18b
2o3bo9bob2o3b2ob2o8b2o10b4o199b2o3bo9bob2o3b2ob2o8b2o10b4o$18bobo5bo3b
4o3b2ob2o3bo19b4o199bobo5bo3b4o3b2ob2o3bo19b4o$26bo2b3obo3bo2bo2b3o20b
2o208bo2b3obo3bo2bo2b3o20b2o$20b3o3bo3bo5bo2b2o6bo222b3o3bo3bo5bo2b2o
6bo$19b3o6b2o5bo8bo2bo221b3o6b2o5bo8bo2bo$21bobo4b2o14b3o16bo207bobo4b
2o14b3o16bo$23b5obo4b2ob2o11b2o10bobo29bo178b5obo4b2ob2o11b2o10bobo29b
o$24bo4bo4bobo12bo2bo8bo3bo16b2o9b2o179bo4bo4bobo12bo2bo8bo3bo16b2o9b
2o$22bobo12b2o10bobo10bobo16b2o3bo6bobo176bobo12b2o10bobo10bobo16b2o3b
o6bobo$21b5o2b3o6b3o10bo12bo19bob2o15b3o166b5o2b3o6b3o10bo12bo19bob2o
15b3o$20bobo4bo9b3o45b3o5bobo4b2ob2o165bobo4bo9b3o45b3o5bobo4b2ob2o$
19b2obob3o4b3o3b2o2bo43bo6b2obobobo169b2obob3o4b3o3b2o2bo43bo6b2obobob
o$21b2o5bo2b3o3b2o3bo21bo4b2o16b3obo6bob2o169b2o5bo2b3o3b2o3bo21bo4b2o
16b3obo6bob2o$26bob2obo6bo3bo20bob2obo2bo16b2o7bo178bob2obo6bo3bo20bob
2obo2bo16b2o7bo$21bo6b2o9bo23bo5b4o15b2o5b2o174bo6b2o9bo23bo5b4o15b2o
5b2o$21bobo3bo12bo23b2o5bo18b5o176bobo3bo12bo23b2o5bo18b5o$23bo2b2o7b
5o28b3o202bo2b2o7b5o28b3o$19b2o5bobo6bo5bo19bo207b2o5bobo6bo5bo19bo$
19b2o7b2ob2o3bob4o18bobo206b2o7b2ob2o3bob4o18bobo$16bo4bo5b2ob2o8bo19b
o205bo4bo5b2ob2o8bo19bo$15b2o4b3o6bo30bo2bo200b2o4b3o6bo30bo2bo$15bobo
9bo2b2o9bobo18bobo200bobo9bo2b2o9bobo18bobo$19bo4bobo2bo6b2o3bo2bo5b2o
26b2o11b2o3bo172bo4bobo2bo6b2o3bo2bo5b2o26b2o11b2o3bo$18bo4bo3bobo2bo
3bobo2bo2bo4b2o27b2o7b6o3b2o170bo4bo3bobo2bo3bobo2bo2bo4b2o27b2o7b6o3b
2o$18bo2bo6b2o6bo3bo2bo7bo34bo2b5o2b2o170bo2bo6b2o6bo3bo2bo7bo34bo2b5o
2b2o$27bo11b2obo42b2ob2o3b4o180bo11b2obo42b2ob2o3b4o$24bob2o2b3o7bobo
43bobo5b2o178bob2o2b3o7bobo43bobo5b2o$23b2ob2obo10bo46bo185b2ob2obo10b
o46bo$22bo3bo6bo7bo230bo3bo6bo7bo$21bo2bo3bo3bo8bo34bo9bo184bo2bo3bo3b
o8bo34bo9bo$21bo4b2o2bo4b2o6bo32bo8b2o184bo4b2o2bo4b2o6bo32bo8b2o$20bo
bo3bo3b2o3bobo3bobo32bo7bo2bo182bobo3bo3b2o3bobo3bobo32bo7bo2bo$20bo9b
o4bo4b2obo39b2o185bo9bo4bo4b2obo39b2o$20bob2o6b2o6bob2o28b3o9b3o185bob
2o6b2o6bob2o28b3o9b3o$21bo3bob2ob2o6bo2bo41bobo185bo3bob2ob2o6bo2bo41b
obo$23bo2bo11bobo42b2o2bo5bo179bo2bo11bobo42b2o2bo5bo$21b2o2bo4bo56b2o
2b2ob2o175b2o2bo4bo56b2o2b2ob2o$21bobo6bo56b2o4bo177bobo6bo56b2o4bo$
23b3o3b2o51bo190b3o3b2o51bo$18b2o3bo59bobo182b2o3bo59bobo$17b2o4bo3bo
3bo49b4o182b2o4bo3bo3bo49b4o$19bo57b2obob2o185bo57b2obob2o$21bo2b3ob2o
47b2obobo188bo2b3ob2o47b2obobo$21b2obo51bo6bo8bo34b3o141b2obo51bo6bo8b
o34b3o$77b2o13bo34bo199b2o13bo34bo$7b2o12bo3b6o59bo37bo128b2o12bo3b6o
59bo37bo$7bobo10bob6o3bo55bo2b3o34b3o127bobo10bob6o3bo55bo2b3o34b3o$7b
o15b3o2bo3b2o46b2o4bobob3o14bo19b3ob2o124bo15b3o2bo3b2o46b2o4bobob3o
14bo19b3ob2o$10bo9b2o5b2o51b2o4bo2bo16bobo151bo9b2o5b2o51b2o4bo2bo16bo
bo$10b2o10b2o2bob2o57b2o16b2obo151b2o10b2o2bob2o57b2o16b2obo$10b2o8b2o
3b2obo76bo24bo129b2o8b2o3b2obo76bo24bo$9b2o8b2o4bobo78bobo14b2obo2b5o
125b2o8b2o4bobo78bobo14b2obo2b5o$2o6b2o3bo7bo4bo80bo14b2o3bobob2obo
115b2o6b2o3bo7bo4bo80bo14b2o3bobob2obo$obo3b2o2bobobob2ob2o5b4o93bo2bo
5bobo115bobo3b2o2bobobob2ob2o5b4o93bo2bo5bobo$o5b3o4bo4b2o7bo2bo92bo2b
o123bo5b3o4bo4b2o7bo2bo92bo2bo$3bo10bo12b5o91bo129bo10bo12b5o91bo$3b2o
11b2o10bo2bo94bo126b2o11b2o10bo2bo94bo$16b2o12b3o83b2o5bo2bo5b3o131b2o
12b3o83b2o5bo2bo5b3o$26b3obobo82b2o3bob2o2b2o4bo143b3obobo82b2o3bob2o
2b2o4bo$26bob2obo3bo81bob4o2b3o6bo141bob2obo3bo81bob4o2b3o6bo$26bobob
2o3b2o80b2obo2b4o2b2o145bobob2o3b2o80b2obo2b4o2b2o$23b2o5bo6bo79bo3bo
2bo4b2obo140b2o5bo6bo79bo3bo2bo4b2obo$22b2o7bo3bo63b3o7b2o6bo3bob2o2bo
3bo140b2o7bo3bo63b3o7b2o6bo3bob2o2bo3bo$24bo10bo73b2o6bobob3ob3o8b2o2b
o133bo10bo73b2o6bobob3ob3o8b2o2bo$28b2o5b2o81bo2bobo11b2o4bo136b2o5b2o
81bo2bobo11b2o4bo$28bobo4bo81b2o3bo3bo2bo6bobo139bobo4bo81b2o3bo3bo2bo
6bobo$28bo3bo85bo7bo2b5o2b4ob2o135bo3bo85bo7bo2b5o2b4ob2o$31b2o85bo4bo
7bo3b2o5b2obo135b2o85bo4bo7bo3b2o5b2obo$32bo2bo87b2o6b2o2bo4b2o140bo2b
o87b2o6b2o2bo4b2o$23b2o98b2o9b2o3b4o2b2o126b2o98b2o9b2o3b4o2b2o$23bobo
3b3o107bo6bo126bobo3b3o107bo6bo$23bo3bo4bo240bo3bo4bo$26b2o114b3ob2o
128b2o114b3ob2o$26bo5bo243bo5bo$145bo249bo$97b2o46bo201b2o46bo$97bo2b
3o42bo201bo2b3o42bo10bobo$97bob5obo241bob5obo49bo9b3o$98bo6b2o241bo6b
2o23bo17b2ob3obo2b2o5bo$98bo5b3o241bo5b3o22b4o15bo3bobo2bob2o5bo$98bo
2bo2bo243bo2bo2bo19b3o2bo4b2o12bob2ob2obo2b4o5b2o$101b4o246b4o19bo5bob
obob2ob2ob2o5b3o6bo4bo5bo$91b2obo2bo7bo2bo232b2obo2bo7bo2bo16bo2bob2o
6bo3b2o2b2ob3obo6bobobo$91bob2o2b2obo3bo2bobo231bob2o2b2obo3bo2bobo18b
3o3bo7b3ob2ob2o5b2obo3b4o$91bob2o3bo5bo2bobo231bob2o3bo5bo2bobo18bo11b
o3bobo6bo9bobob2o$92bo4bo5b2o237bo4bo5b2o25b2o2b2ob2o25bo$92b2o3bo3bob
o14b2o222b2o3bo3bobo25b3obobo$83b2o2bo4b2o6bob3o12b2o214b2o2bo4b2o6bob
3o24b3ob2o2bobo2bo37b2o$82b2o4bo2b2o6b4o16bo212b2o4bo2b2o6b4o31b2o4bob
o36b3o7b2o$84b2obo2b3o7b2o3b2o14bo212b2obo2b3o7b2o3b2o24bo3b2o2bo3bo
28bob2o2b4obo4b2o$86b2o2bo9bobo17b3o213b2o2bo9bobo34b2o6b3obob2o18b2ob
2obo12bo$93bo6bobo2b2obo7b3o6bo217bo6bobo2b2obo24bo10bo3bo2b2o2bo15bob
o3b2o4b3o6b2o$90bo2bo3b2o6b2obo7bo2bobo218bo2bo3b2o6b2obo24b2o8bo7b3ob
2o2b2o2bobo6bo5b2ob2o3bo4bo$91bo4b2o9bo9bo3b3ob2o214bo4b2o9bo25b2o7bo
6bo3bo2bob2o2b4obobo3bob5ob2o2bobo$92bo5bo8bobo8bo4bo2bo3bo211bo5bo8bo
bo29bobo6bo5bo4bo2b3o3b3o2bo3bo2bobo2bo2bobo2bo$103b2o2bobo9b2o3b3o2bo
bo221b2o2bobo28b2ob2o3bo12b3o5bo4bo2b2o11bo$103bo14b2o2b2o3bobobo221bo
34bob2o2bo15b2o5bo18b2o2b2o$78bo24bo14bobob3o2bo200bo24bo39bo$78bobo
24b3o10b2o3bobob2o199bobo24b3o$78b2o25b6o8b2o3bo2b2o199b2o25b6o$105bo
13b2o5b3o3b3o220bo$105b2o3bo8b2o5b2o4bo222b2o3bo$105b2o2bo16bo7bo220b
2o2bo$106b3o2b3o5bobo3b2o5bobo221b3o2b3o$108bo4bobo3bobo4bo4bobo224bo
4bobo$108b4obobo3bo6bo3bo3bo223b4obobo$108b4obobo5b2o5b2o228b4obobo$
111bo8bo7b2o231bo$120bobo4b3o$117bob2obo5b2o$116b3o9b2o$116bo4bo$128bo
bo$116bo4bo6bobo$115b2o3b2o6bo$116bob2o10b2o$115bo2b2o9bo$115b2obo10b
2o$115b3o11b3o$115bob2obo9b2o$115b2o3bo9b2o$115b2o3bo9bo2b2o$116bo13bo
$118bo12bo2bo$118bob2o8bo$119bo2bo7bo2bo$123bo$115b2o13b3o$114b2o5bo8b
3o$116bo4b2o9b2o$118b2o$118b2o11b3o$131b2o$127b3o$127bo2b3o$129b4o$
127bob3o$127b2o$127bobobobo$128b2o$126b2o$125bo3bo2bo$128bo3bo$125bobo
2bo$127b3o2bo$128b2obo$129bo$129bobo$130bob2o$131b2obo$126b2o4b2o$126b
obo3bo$126bo6bo$129bo3bo$129b2o!

[Sokwe]

Here is one (strict c/4d blinker eater) with maximum clearance:

Code: Select all

#C [[ TRACK -1/4 -1/4 ]]
x = 48, y = 70, rule = B3/S23
5b3o7$11b3o5$16b3o3$15bo3b3o$14b2o$14bobo2$17bobo$13b2ob2o2bo$13bob2o
2b2obo$13bo9bo$14b2o4bo3bo$13bobo4bo$13b2ob2ob2o2bo$9b2o3b2o2b5obo$8b
2o3b3o6bobo$10bob3o6bo$12b2o3b3o2bo$11b2o5b2ob2obob3o$11b2o5bob2obo2b
2o$10bobo6bo3bob2o$9b2o9bo2b3o$9bobo6bo3bo3bo$8bo6b4ob2ob2o$9b2o4bo3bo
bob2o$16bobo2bo3b2ob2o$20bob2ob2obobo$24bobobo$12b2o11b2o$12bobo5bo5bo
$12bo6b2ob2o2bob2o$16bob2o2b4o$15b2o2bo2bo7bo$18bo4b2o2b3o$7bo$6b2o6b
3o13b2o$2b2o2bobo2bo2bo14b3o$2bo4bo3bo4bo11b4obo$2bobo3bobobob2o10b2o
6b2o$7bo18b2o5b2o$bo2b2obo18bobo2bob2o7b2o$4o3b2o17b5o2bo7b2obo$o25b2o
3bo2b2o5bo$bo6bo17b3obo3bo4b2obo$27bo3b2ob4ob3obo$2b2o29bob3o$2b3o26b
2o4bo3bo$2b2o31bo7bo$3b2o37b3o$2ob2o28bobo5bo$o32b2o5b2o4bo$bo31bobo3b
o6b2o$30b2obobo2bobobo3b2o$29b2ob2ob3o2bo$31bob2obo2bo$37bobo$41bo$40b
obo!

Look at that absurd pushalong reaction with that glide-symmetric ship (Edit: that glide-symmetric ship was originally found by Jason Summers on ???? [1999 or later], based on thinner ships by Hartmut Holzwart with the same front end found on April 14, 1993). It can eat a backward glider stream:

Code: Select all

x = 29, y = 35, rule = B3/S23
bo$2bo$3o2$5bo$6bo$4b3o2$9bo$10bo$8b3o2$11b2o$10b3o$9b4obo$7b2o6b2o$7b
2o5b2o$7bobo2bob2o7b2o$7b5o2bo7b2obo$7b2o3bo2b2o5bo$7b3obo3bo4b2obo$8b
o3b2ob4ob3obo$14bob3o$12b2o4bo3bo$16bo7bo$23b3o$14bobo5bo$14b2o5b2o4bo
$14bobo3bo6b2o$11b2obobo2bobobo3b2o$10b2ob2ob3o2bo$12bob2obo2bo$18bobo
$22bo$21bobo!

Edit: it doesn't solve the general beehive eater problem, but it can interact with the known clean beehive puffers to suppress the beehive formation and give the first p28, p32, and p36 c/4 diagonal spaceships:

Code: Select all

x = 223, y = 56, rule = B3/S23
203bo$202b2o$202bobo$204bo$42b2o161bo$41b2o3bo155bob2o$12bo30bob2o45bo
110bo$8b3ob3o30b3o40b3ob3o$7b2o4bo31bo41b2o4bo110b2obo$7bo4bo34b3o37bo
4bo104b3o3b2o3bo$3o6bo2bob3o23b2obo4b2o30b3o6bo2bob3o100bo2b5o4bo$o6bo
10bo21bob2o3bobo30bo6bo10bo15bo65b2o16b2ob2o3b2o$bo4b2obo5bo3bo7bo6b2o
4bob2o3b3o31bo4b2obo5bo3bo7bo5b2o65bobo14b3o$3b4obo10b2o3b2obobo3b2o6b
o5b3o33b4obo10b2o3b2obobo3bobo64bo$4b2o10bo2b3o2b2ob2obo3bobo4b2o4bobo
34b2o10bo2b3o2b2ob2obo72bo24bo$15bo2bob2obo3b3o4b3o4b2o2b2o48bo2bob2ob
o3b3o5b3o5b3o57b2o5b3o4b2ob2o5b2o$15bo11b2o5b2o6bobo50bo11b2o5b3o5b2o
2b2o55b2o5bo2b3o2b2o7bobo$15bobo18bobo3b2o3bo47bobo18bobob2o2b4o54b2o
8bo10bo$42b4o72b2ob3o54b2ob2o8b2o5bo3b5o$26b6o2bo3bobo65b6o2bo3b10o50b
o4bo7b2o2b2o4bob2o$26bo3b4o6b4o62bo3b4o64bob4o7b2o3bo5b2ob2o$27bo6bo5b
4o63bo6bo10bob2o53b2o8bo3bo3b3o7b3o$32b2o7b2o69b2o12b3o3b3o47b2o10b3ob
3obo7bo$16b3o13b2o62b3o13b2o5bo5bo2b2o2b2ob2o29b3o13b2o8b3o2bo6bob2o5b
5o$16bo17bo3b2o56bo17bo3b2o6bo5bo2b3o28bo17bo3b2o3b2o9bob2o5b2ob3o$17b
o12bo2bo4bobo56bo12bo2bo4bobo4bo3bo5b2o2bo27bo12bo2bo4bobo7b2o8b3o2b2o
3bo$19b2o8b5o65b2o8b5o13b2o7bo2bo29b2o8b5o13bo8b2o6bo3b4o$20bo8bo2b2o
66bo8bo2b2o56bo8bo2b2o14b2o9b2o3bo2bo2b2o$27bobo8bo3bo64bobo8bo3bo13bo
40bobo8bo3bo21bobo3b2o$17bo8b3o4bo4bo3bo54bo8b3o4bo4bo3bo12b5o27bo8b3o
4bo4bo3bo25bob3o$14b4obo6bo2b2o8bobo52b4obo6bo2b2o8bobo13bobo26b4obo6b
o2b2o8bobo26bo$14bo4bo10b3o6b3o52bo4bo10b3o6b3o42bo4bo10b3o6b3o26b4o$
15bo4b2o8b2o63bo4b2o8b2o53bo4b2o8b2o$17bo2b3o9bo9b2o53bo2b3o9bo9b2o43b
o2b3o9bo9b2o25b3o$21b2o2b3o2bobo8b3o57b2o2b3o2bobo8b3o47b2o2b3o2bobo8b
3o$18b2ob2o2bo3bo10b4obo52b2ob2o2bo3bo10b4obo42b2ob2o2bo3bo10b4obo$19b
ob2o4bo3b2o5b2o6b2o51bob2o4bo3b2o5b2o6b2o41bob2o4bo3b2o5b2o6b2o$19bobo
3b2o11b2o5b2o52bobo3b2o11b2o5b2o42bobo3b2o11b2o5b2o$20b2o16bobo2bob2o
7b2o44b2o16bobo2bob2o7b2o34b2o16bobo2bob2o7b2o$38b5o2bo7b2obo61b5o2bo
7b2obo51b5o2bo7b2obo$38b2o3bo2b2o5bo64b2o3bo2b2o5bo54b2o3bo2b2o5bo$38b
3obo3bo4b2obo63b3obo3bo4b2obo53b3obo3bo4b2obo$39bo3b2ob4ob3obo63bo3b2o
b4ob3obo53bo3b2ob4ob3obo$45bob3o75bob3o65bob3o$43b2o4bo3bo69b2o4bo3bo
59b2o4bo3bo$47bo7bo71bo7bo61bo7bo$54b3o77b3o67b3o$45bobo5bo71bobo5bo
61bobo5bo$45b2o5b2o4bo66b2o5b2o4bo56b2o5b2o4bo$45bobo3bo6b2o65bobo3bo
6b2o55bobo3bo6b2o$42b2obobo2bobobo3b2o62b2obobo2bobobo3b2o52b2obobo2bo
bobo3b2o$41b2ob2ob3o2bo68b2ob2ob3o2bo58b2ob2ob3o2bo$43bob2obo2bo71bob
2obo2bo61bob2obo2bo$49bobo77bobo67bobo$53bo79bo69bo$52bobo77bobo67bobo
!

Unfortunately, it doesn't work in the p40 case:

Code: Select all

x = 62, y = 50, rule = B3/S23
12bo$8b3ob3o$7b2o4bo$7bo4bo$3o6bo2bob3o$o6bo10bo15bo$bo4b2obo5bo3bo7bo
5b2o22b2o$3b4obo10b2o3b2obobo3bobo9b3o8b2o$4b2o10bo2b3o2b2ob2obo14bo
12bo$15bo2bob2obo3b3o5b3o8bo13bo$15bo11b2o5b3o11bo11b2o$15bobo18bobo8b
2ob3ob2o3b3o$38b6o2bo5bo4b2o$26b6o2bo3b7o6b2o2bobo$26bo3b4o10b2o2b2o7b
2o$27bo6bo13bo$32b2o15bo$16b3o13b2o5bo$16bo17bo3b2o$17bo12bo2bo4bobo$
19b2o8b5o$20bo8bo2b2o$27bobo8bo3bo$17bo8b3o4bo4bo3bo$14b4obo6bo2b2o8bo
bo$14bo4bo10b3o6b3o$15bo4b2o8b2o$17bo2b3o9bo9b2o$21b2o2b3o2bobo8b3o$
18b2ob2o2bo3bo10b4obo$19bob2o4bo3b2o5b2o6b2o$19bobo3b2o11b2o5b2o$20b2o
16bobo2bob2o7b2o$38b5o2bo7b2obo$38b2o3bo2b2o5bo$38b3obo3bo4b2obo$39bo
3b2ob4ob3obo$45bob3o$43b2o4bo3bo$47bo7bo$54b3o$45bobo5bo$45b2o5b2o4bo$
45bobo3bo6b2o$42b2obobo2bobobo3b2o$41b2ob2ob3o2bo$43bob2obo2bo$49bobo$
53bo$52bobo!

Edit 2: before the pre-beehive eating reaction was found, I was attempting to find (using JLS) an alternate puffer that provided a dot spark to suppress the formation of the beehive. This would still work for p40, which would then give a p40 spaceship by using the block eaters for cleanup. I got it to the point where it was clear that a solution exists, but the best partial result had two large branches that would probably be difficult to solve with JLS:

Code: Select all

x = 69, y = 51, rule = B3/S23
9bob2o$7b3ob2obo$7bo3bo2bo$bo5bo4bob2o$2o6bo4bobo$obo3b2o6bobo16b2o$4b
o13b3o5bobo4bobo10bo9b3o$3bo4bo9bo2bo2b2obobo3bo11b2o9bo$3bo2bo11bo3b
2obo4bo3b2o9bobo9bo$15b2o4b2obo9bo2bo21b3o$14b2o11bobo4bo13b2obo$16bo
19bobob3o4b3ob3o4b2obo$27b4o13bo2bo2bo3b2ob4o$26b4o3bo4bo12b2o$26bo5b
3o4b4ob2o2b2o6b3o$34bo13bo$32bobo$32bobo2bo$23b2o7bobo2b2o$23bobo3b2o
2b2o$23bo5bo4bo2b2obo$20b2obo5bo3bo4bo2bo$20bo4bo5bobo4b2obo$20bo4b2o
5bo6b2o5b2o$17b2ob2ob2o5bo3b2obo8b2o$17bo8b3obo2b2o$17bo4bo3b2o4bobo2b
o$18bo6b2o4bob3o$15b2obo3b2o8bo$14b2obo4b2obo7bo13b2o$15bob2o4bo7b2ob
2o11b2o$12bob3o2b3o3b2o5bo3b3o$10bobo2b2o3bo3bo5b2obob5o$13b4ob2o10b2o
b4o19b2o$8bo5bobob2o3bo7b6ob5o13b2o$9b4o4bobo2bo13b2obo2b3o$20bob2o16b
o2b2obo$18bobobobo8b4ob2o7bo$16bobobobo10bo4bo2bob2o$16bo6bo15bobo2bo
2bo9b2o$19bo22bo2b2o10b2o$41bo2bobo$38b2obob3o2b2o$38bo3bo3bo19b2o$38b
o7bo19b2o$39b2o3b2o$40bo3bo3$67b2o$67b2o!

There may be better partial results that don't require such large branches, but I didn't find them.

Edit 3: after seeing the blinker-eating reaction, I looked back through old ships and found this ship by Hartmut Holzwart (June 16, 1993) that can delete blinkers in a similar manner:

Code: Select all

x = 46, y = 32, rule = B3/S23
23b2ob2o$23bob3o$23bo2b2obo$30b2o$25bo3b2o$25b4o$3o22bo$24bo2b2o$24b3o
$5b3o6b3o7bobobobo$14bo6b4o6b2o$15bo2b3obo$8b3o3b3o2bo2b2o2bo3b2ob2o$
14b3o2bobo$19bobobo8bo2bo$16bobo13bo2bo$17b2o4bo2bo6bo2bo2b2o$17bo6bob
o9bobo2bo$24bo3b2o4bo6bo$26bo3bo3b2o$26bo5b2o5bo$28b2o3bo2b2ob2o3bo$
30b2o3bo3b4obo$35bo2bo6bo$31bo5bob3o$30bo3b3obobo$30bo4b2ob2o$31b2o3bo
bo$36bo2$35b2o$37bo!

Unfortunately, it is one half-diagonal shy of having maximum clearance, but it sticks out in front less than Amling's maximum-clearance eater, so it can be useful in a few cases where components are close together. For example, it can delete the first blinker produced by the p28 puffer to give a new p8 spaceship, while Amling's maximum-clearance eater requires the very high clearance but extremely large p28 puffer variant:

Code: Select all

x = 206, y = 68, rule = B3/S23
188b3o6b2o$185bo2bo5bob2o$110b3o71b2o3bo2b2o3b2o$110bo9b2o62bob4o7bo$
111bo6b3obo64b3o3b2o2bo$113b2o2b2o68bo$114bo67b3o2bobo$118bo63bo2b6o$
35b2ob2o74b2o3bo6bo9bo25b2o6b2o11b5ob2o$16b2o17bob3o73bobob2o5b2o3bo5b
2o25bobo3b3obo12bo$16bobo16bo2b2obo70bo2bo2bob2ob2o3b4o3bobo24bo4b2o
16bo$16bo25b2o69bo3b2o4bo5bob5o27b2o12bo7b2o$19bo17bo3b2o70b2o8bobobo
3bobo23bo5bo4bo7b2o7bo$19b2o16b4o72b2o7b2obo2bo2b2ob2o3b2o15b6o5bo8bob
o6bo$19b2o16bo78bobo3b3obobobo4b2obo2bo4b3o2b3o2bo8bo17b3o$18b2o16bo2b
2o77b3o9bo4b2o6bo2bo4bo5bobo4bo6b2o6b2ob2o2bo$14b2ob2o17b3o70b2o4bo3b
3o15b5obo3bo4bo2bob2o2bo8b2o7b2o3bo$14bo4bo6b3o7bobobobo65b2o4b2o3b3o
21b2o4bo5b3o3b2o2bo5bo7bo$14bob4o6bo6b4o6b2o65bo2b2obo15b2o8b3o3b2o5bo
6bobo2bo2b2o6b2o$18b2o7bo2b3obo77bobo2b2o6b2o5bobo8b2o2b3o7b2o4bobo2b
2o2b2o3bo2bo$18b2o6b3o2bo2b2o2bo3b2ob2o64b2obo3b2o5bobo3bo2bo8bob2o2bo
6b3obo9b2o5b2o$2b3o13b2o6b3o2bobo77bo9bo3bo5b2o8bo3b2ob2o6b3obo3bo2b2o
2b4o2bo$2bo17bob3o6bobobo8bo2bo63bo2b2o12bo2bo7b3o4bobobob3o6b5o3b2o3b
o3bobo$3bo12bo2bo8bobo13bo2bo69b2ob2o5bo5bo4bo2bo5bobo8bo2bo2b2ob3o2bo
b2o5bo$5b2o8b5o9b2o4bo2bo6bo2bo2b2o59bobo12bo3bo2bo2b2ob4obo2b2o12bo8b
o3bo3bo$6bo8bo2b2o9bo6bobo9bobo2bo58b2o2bo6bo3b9o4b2o2b2o3bo16bo4bo7b
2o6b4o$13bobo20bo3b2o4bo6bo54b3o2bob2o5b4o8bo4b2o3bo3bo17bo6bo2b3o7bo
5bo$3bo8b3o4bo18bo3bo3b2o60bo2bo5bobo2bo10bo5b2o4b2o18bo2bo9bo6bo6bo$
4obo6bo2b2o21bo5b2o5bo63bo2b2o4bobo39b2o5b2o5b3ob2obo3b2o$o4bo10b3o21b
2o3bo2b2ob2o3bo52bo3bo3bo8bo46bobo3b5o2bo2bo10b2o$bo4b2o8b2o24b2o3bo3b
4obo52bo3bo4b2o7bo54bo3bob2obo8bobo$3bo2b3o9bo28bo2bo6bo51bo4bo4bo8bo
54bobo3b2obo7bobo$7b2o2b3o2bobo24bo5bob3o56bob4o3b2o7b3o54b3o3b2obo3bo
$4b2ob2o2bo3bo26bo3b3obobo50b2o5bob4o3b2o12b2o54b2o2bo3b4obo$5bob2o4bo
3b2o23bo4b2ob2o50b2o6b3o6bo9bo2b2o2b4o45bo4bo3bobo5bo$5bobo3b2o30b2o3b
obo53bo24bob2ob3ob3o45bo2b2o3bo3b3o$6b2o40bo57b2o2b3o5b2o8b2obo3b3o$
106b2o2b2o16bo2bo60bobo5b2o$47b2o60b3o8bo8bo61bo8b2obo$49bo59bobob3o4b
2o2b2o8b2obo53b2o6bo2bo$105b2o4bobo5b3ob3o8bo2bo59b2ob5o$104b2o4bo3bo
5b2obo10bobo51b2o2b2o3b2ob2o2b2o$105bobo16bo63bo2b3o2bo$105b3obo8bo2bo
66bobo4b3o$105b2o10b5o73b2o$102b2obo11bobo79bo$101bo5bo10b2o78bobo$
100bo3b4o11bob3o74bobo$99bo2b3ob2o14b2o$99bo2bo13b2o6bo$95bo5b2o12b2o
8b2o$90bo3b6obo14b2o7bo$89b2o3bo2b2o2b2o13b3o3bo$89bobo4b2o2b3o13bo4b
2obo$93bo23b2o3b2o$92bo4bo$92bo3bo26bo$121b2o$118b2o4b2o$117bo4b5o$
116bo3bo3b2o2bo$115bo2bo6bo2bo$115bo$108b2o7bo7bo$107b2o6bobo6b5o$109b
o2b2o10bobo$111b2o2b2o$111b2o!

[amling]

Edit 2: before the pre-beehive eating reaction was found, I was attempting to find (using JLS) an alternate puffer that provided a dot spark to suppress the formation of the beehive. This would still work for p40, which would then give a p40 spaceship by using the block eaters for cleanup. I got it to the point where it was clear that a solution exists, but the best partial result had two large branches that would probably be difficult to solve with JLS:

Code: Select all

x = 69, y = 51, rule = B3/S23
9bob2o$7b3ob2obo$7bo3bo2bo$bo5bo4bob2o$2o6bo4bobo$obo3b2o6bobo16b2o$4b
o13b3o5bobo4bobo10bo9b3o$3bo4bo9bo2bo2b2obobo3bo11b2o9bo$3bo2bo11bo3b
2obo4bo3b2o9bobo9bo$15b2o4b2obo9bo2bo21b3o$14b2o11bobo4bo13b2obo$16bo
19bobob3o4b3ob3o4b2obo$27b4o13bo2bo2bo3b2ob4o$26b4o3bo4bo12b2o$26bo5b
3o4b4ob2o2b2o6b3o$34bo13bo$32bobo$32bobo2bo$23b2o7bobo2b2o$23bobo3b2o
2b2o$23bo5bo4bo2b2obo$20b2obo5bo3bo4bo2bo$20bo4bo5bobo4b2obo$20bo4b2o
5bo6b2o5b2o$17b2ob2ob2o5bo3b2obo8b2o$17bo8b3obo2b2o$17bo4bo3b2o4bobo2b
o$18bo6b2o4bob3o$15b2obo3b2o8bo$14b2obo4b2obo7bo13b2o$15bob2o4bo7b2ob
2o11b2o$12bob3o2b3o3b2o5bo3b3o$10bobo2b2o3bo3bo5b2obob5o$13b4ob2o10b2o
b4o19b2o$8bo5bobob2o3bo7b6ob5o13b2o$9b4o4bobo2bo13b2obo2b3o$20bob2o16b
o2b2obo$18bobobobo8b4ob2o7bo$16bobobobo10bo4bo2bob2o$16bo6bo15bobo2bo
2bo9b2o$19bo22bo2b2o10b2o$41bo2bobo$38b2obob3o2b2o$38bo3bo3bo19b2o$38b
o7bo19b2o$39b2o3b2o$40bo3bo3$67b2o$67b2o!

There may be better partial results that don't require such large branches, but I didn't find them.

I got it solved, but had to move some branches around, and, as usual, made a huge and messy result. Shown with block eaters trailing for a p40 (c/4d) ship:

Code: Select all

#C [[ TRACK -1/4 -1/4 ]]
x = 120, y = 118, rule = B3/S23
22b3o$22bo$23bo$25b2o$19bo6bo$18b2o$18bobo2bo$22b3o$21bo2bo$23b3o$22bo
bo$23bo$20b2ob2o$20bob2o$20bo$24b2o$24b2o$22b3o$6b2o13b2o$5b2o14bobo2b
3o$7bo14b2o9b2o$9b2o12b4o6bobo10bo9b3o$8bo16bo7bo11b2o9bo$26b3o5b2o9bo
bo9bo$7bo2bo16bobo4bo2bo21b3o$4b2obo19bobo4bo13b2obo$3b2o4bo26bobob3o
4b3ob3o4b2obo$5bobo2bo2b3o11b4o13bo2bo2bo3b2ob4o$10bo2bo12b4o3bo4bo12b
2o$7bo2bo3bo11bo5b3o4b4ob2o2b2o6b3o$8bobo3bo19bo13bo$8bobo2b2o17bobo$
9b2o2b3o16bobo2bo$9bo22bobo2b2o$15bobobo9b2o2b2o$16b2o2b3o6bo4bo2b2obo
$17bo4bo6bo3bo4bo2bo$22bobo6bobo4b2obo$25b2o5bo6b2o5b2o$22b2o2bo3bo3b
2obo8b2o$12b2o8b2o3b2obo2b2o$12bobo3bo3b2o2b2o4bobo2bo$12bo3bo3bo5bo4b
ob3o$15b2o3b2o2b2o6bo$16bobo3b5o6bo13b2o$13b3o6b2o7b2ob2o11b2o$13bo2bo
15bo3b3o$13bobo14b2obob5o$14bobo13b2ob4obo17b2o$14bo9bo6b5o3bo16b2o$
13b2obo6b2o8bo5bobo$13b2o8bobo2b3ob3o3b3o$11bo15b5o3b6o$3b3o4bobo13bo
3b2o4b3o$3bo5b2o16bo5bo2bo20b2o41b2o$4bo4bobo11b2o5b2obob2ob3o16b2o40b
2obo$6b3o2bo11bobo3bo2b4obo3bo58bo$3o4bo15bo5bo70bo2bo$o4b3o18bo3b2o2b
obo29b2o32bo3bo$bo4bo19b2o8bob2ob5o20b2o32bo2bo$3bobo25bo2bo2b2o4bo$4b
o27bo7bo$5bo24bo9bo54b2obo2b3o$31bo7bo55bob2o2bo2b3o$29bo9bo2b2o23b2o
26bob2o6b2o$28b3o4b2o6bo23b2o27bo$30bo4bobo2b2ob2o51b2o$26bo2bo5bo3bo
2b2o52b2o$23b2obo11b3obo33b2o10b2obo3b3o7b2o$22b2o4bo10bo2bobo31b2o10b
o3bo2bo2bo5b2o$24bobo2bo10b2o2bo43bo4bo4b2o5b2o$29bo13bo46bobo2bo2bo3b
3o$26bo2bo10b2o3bo44b2ob4o3bob3o$27bobo10bo4bo44b2obobo$27bobo10bo36b
2o10bobo6b2o8b2o$28b2o7b2o3bo34b2o10bo2bobobobo9bo2b3o$28bo7b2o3bo52bo
3b4o6bob4o$36bo2bo49b2o3bo3bob2o2b2o3bo3bobo$35b2o49b2o3bo11b2o2bo9bo$
37bo48b2o7b2o7b4o7b3o$35b2o58b2o9bo4b7obo$35b2o74bo$37bo74bo2bo3bo$36b
2o77bo3bo$36bo50b2o26bo2bo$37bo49b2o$77b3o36bobo$77bo5b2obo30bo$80b3o
3bo$77bo3b3o3bo$78bobo3bo$79bob2o$81bo2b3o$71b3o3b2ob3o5b2o$71bo2b4o3b
o2bo3b2o$72b2ob3o$71b3o4b3o2b4o$64bo14bo3bobo$63b6o12bo3b2o$63bo7b2o
12b2o$64bo6bo8b2o$66bobo2bo8b2o5bo$67bo4bo5bob2o4b3o$72b2o3b3o6bobo$
72b2o3bobo8b2o$87b2o$83b3o$83bo2bo$85bo$84b2o3b2o$84b2o3bobo$84b3o2bo$
89bo$86bob2ob3o$88b2o5bo$87b3o6bo$93bobo$89bob2o!

[dbell]

Here is a smaller diagonal c/4 period 116 rake which just uses a block eater.

Code: Select all

#C A diagonal c/4 period 116 sideways rake.
#C This is an improved version of a previous rake,
#C where a few perturbing spaceships have been removed
#C and the resulting leftover blocks are consumed.
#C David I. Bell, 15 January 2024
x = 183, y = 198
119b3o$119bo$120bo$122boo$123bo$$120boo$112b3o5boo$112bo6bobo$113bo4b
oo$115b4obo$116boo$120bo$119bobo$120bobo$87boo$86boo32bobboo$88bo18bo
12bobboo$67boo21boo14boo13bo$66boo3bo6bo5boo3bo16bobo9boboo$68boboo5b
oo5boo12b3o12boboboobo$70b3o3bobboboo3boo3bo4boo3boboo4boobobbobobo$
70bo4b5o7bo7bobbobobbo6bobbobbo12bo$65b3o4boobbo5boo3bobbo3bo5bobob4o
5boobo11boo6b3o$65bo7b4obo10bo3boobo8bo3boobboo13bobo5bo$66bo6bobbobo
22bobobo3bobb3obboo18bo$22bo45b3obbo4bobobboo4bo3b3oboo3bo6bobboobboob
oo4b3o11boo$21boo50bo3bo4boobbobobob3obbo3bo5bo4boobobbob3obbo12boo$
21bobo7boo38boo3bobb3obb3o4bo4bo4bo7bobbob4obboboob3o3b3o$28boobo31b3o
3bob4obo3boo3bo3b3obbo10bo3bobbo3bo3bobo3bo4bo5bo$24boobboo28boo3bo4b
3o5bo9b3o4bo3b5ob3o6bo8boobooboo3bo4bo$24boobboo28bobo5boboo8b3o4boobo
4bo4boboo5bo5bo8b3oboobo4bobbo$25boo31bo3bo3bobo9boo5bo4bobbobbo17bo9b
oo7b3obbobo$25b4obo5bo9boo13boo3b4o8boo15bo18bo$24boboboobobb3obboo5bo
bo12bo11boo$23boo8boobobbobbobo15b5oboo3bobo9boo12b3o26boob4obbo$23boo
3b3o3bo5bo3boboo15booboobbo3bo8bobo3b3o5bo29bo3bo$23bo10bobbobo23boboo
boo3bob5o3bo5bo8bo29bo$24b3o9bobb9obboo6bo4bo4bo4bob6obbobo4bo9b3o$28b
oobbooboobobbo6boboo5boo3boboo4bo5boo3bobobo6bo$28boo3boo5bo5bo5bo4bob
o3b8o11bobboo4b4o4boobo$19b3o3boo20b5obbo9b6o8bo5boobb3o4boob4o$19bo4b
obbobbobo16b4o7bo8boo8boo11boo$20bo6b5o11boo8bobbobobbo6b4o16bobbo5b3o
$23bobobb3o5boo4boobo11boobbo6bo20boo$22boo4b3o4boo5bo10boo6bo5boobbo$
21boob3o10bo3b3o8boobo3bobo5boobo$31boo9bo7boboobboo3bobbo6bo$24b3o11b
oo3bo4boo7boobbobboboboobo4bo$23bo4bo8boobobo3boboo4boboobboo3bo4boo3b
obo$20boboo3bo5boobb7obbobbo6bo3bo15bo$19b4ob5o4bobo3b4o3bo8bobo17b3o$
19bobo3boobobobbo16boo4bo18boo$27boobo5bo44boo$25bobbo7b3o39b3obo$19b
3obboo3boo7bo29boo6boobboobboo$20boobobbo11boo28b3oboo4bo3bo$20boobo5b
o9boo22boo6bobbo5b4o$13b3o4boo4bobbo9bobob3obboo12boo8boo5bo3bo$13bo7b
obobo4boo9boo4bo3bo5boo4bobo15boo$14bo14boo9bobobbo5bo4boo5boobo14bo$
16b3obbobo15boobobbobb3o7bo5bobo$17b3o10bo8bo7bo12boobbobo$19boo4bo5b
oo27b4obbo16bo51boo$20boboboo7boobo8b3o14boobboo14bobo49boo$15b3o4bobo
bo3bo3bobo7boobbo6boo6bo4bo12bobbo51bo$15bo14bobobobo9bo7boo3b3oboo3bo
13boo54boo$18boo11b3o22bob4obbobo70bo$15bobboo8boobbo31bo$18bo9bo3bo
25bo3bobbobo68bobbo$13boboo11bo29bo3bo4bo67boo$12b3o3bo11bobbo29bo70bo
$11b3obo3bo9b4obo76boo17boobbobo$10b4obobbo13bobbo75bobo16bobobbo$11bo
14b3o5b3o74bo14bo3bobo$5booboboboo12bo8b3o74boo11boo4boo$oo3bo4bo18bo
6boo74bobbo9bobo3boo$obobbo20bobbobb3o77bo17b3o14boobo$o6b3obobo13bo4b
o62bo12boo4bobob3o7bo3bo14bo3bo$3bo3boo3bo15bo3b3o59bobo11boo12bo4boo
bbo15bo4bo$3boo28boo46b3o10bobbo6bo11bo9bo22boo$33bo47bobb3o8boo7boo
11b4oboob4o22bobo$33b3o46bobo21bo20boo$29bobbo4bo49bo16b3o39bo6boo$28b
3o6bo47bo16bo42b5o4bobbo$27boo9bo48bobo11booboo33boo4bo6boo$26boo7boo
43boobo6bo10boobo34bobo11bo$27bo51boo3bobbobbo10boobo34bo5boboo6bobo$
18b3o14boobo34b3o4bobbobbo3bo10bobbo35boo4bo4bobo$18bo8bo7bobbo34bo6bo
bbobbo3bo10bobbo9boo24bobbo6b3o$19bobb5o8bobo38bo3bo6bobo10booboo8bobb
oo22bo6booboo$21bo51bobbo8boo14bobo8b3obbo24bobobobbo$22boo50bobbo6b3o
25bo4bo$75bo5bo3bo26b5o27bo4bo$77boboboobo28boo30b4o$79boo$83bo$$80bo
bbo8$162b3o$162bo$163bo$162b3o$162b3oboo3$165bo$158boobobb5o$157boo3bo
boboobo$158bobbo5bobo$158bobbo$158bo$161bo$139boo10boo5bobbo5b3o$139b
oo9boo3boboobboo4bo$152bob4obb3o6bo$152boobobb4obboo$152bo3bobbo4boobo
$152bo3boboobbo3bo$152bobob3ob3o8boobbo$153bobbobo11boo4bo$152boo3bo3b
obbo6bobo$153bo7bobb5obb4oboo$153bo4bo7bo3boo5boobo$158boo6boobbo4boo$
158boo9boo3b4obboo$174bo6bo$$177b3oboo$$131bo48bo$130bo49bo$130b3o47bo
56$131bo$130bo$130b3o!

BCNU,
-dbell

[May13]

Here is a smaller diagonal c/4 period 116 rake which just uses a block eater.

Even smaller:

Code: Select all

x = 157, y = 133, rule = B3/S23
120b2o$120bobo$120bo$123bo$123b2o$123b2o$122b2o$113b2o6b2o$113bobo3b2o
2bo$113bo5b3o$116bo$116b2o$120bo$119bobo$120bobo$88bo33bo$87b2o32b2ob
2o$87bobo31bo$68bo38b2o12bo3bo$67b5o18b2o14b2o11b2o$67bo2b2o6bobo3b3o
3b2o8b2o6bo9b2o$69b2obo4b2o2bo2bo12b2ob5o5bob4o2bo3bo$75bob2o3b3ob4o6b
o5b3o4bo6bobo2bo$66b2o4bobo4bo2bo6bo5b2obobo6bobo5bob3o9b2o6b2o$66bobo
4b3o3b2o7b2o4bo4b2obob5o4b2o2b2o9b2o7bobo$66bo11bo15bob2o3b2o5bo9bo10b
2o6bo$69bo3bob2o2b2o3bo9bo4bo8bo3bo3bo2b2o5b3o11bo$22b2o45b2o4bo4bo2b
2o4b2o2bo2bo11b2o2b2o2bo9b3o10bobo$21b2o9bo37bo12bo3b2ob6o3bo2b2o4b5o
3b3obob3o7b2o5bobo$23bo6b2obo30b2o3bo2bob3o3b2ob3obo6bo2bo2b2o9bo2bo2b
4ob4o6bobo4bo$25b2o2b2o2bo30bobo2b2o3bo8b4o2bobobo2b3ob8o9b2o5bobob2o
2bo6bo$25b4o2bo26b3o3bo4b7o4bobo5bo6bo9bobo4bobo7bo5b2o5bo3bo$27b3o28b
o6b2o5b2o4b2o6b5ob2o2bob2o2b2obo18b2ob2o5bo4bo$28bo30bo2b2o2b3obo7bo7b
2o7bo18b2o10b2o6bo3bo$24b3ob2obo4b3o7b3o13b2o3b2o5bo4bo46bo7b3o$24b3o
2bobo2b2ob5o4bo14bobo2bo2bo3bobo22b2o28bob2obo$24bo3bo2bo2bo2bo4b2o3bo
13b2o3b2o9b2o4b3o4b2o6bobo26bobo$29bo5b2obo3bob2o15b2ob2o4b3o3b3o3bo7b
obo5bo28bo2bo2bo$24b2o8bobobo12bo10bob4o3bob2ob3obo4bo4bo10bo$25b3o2bo
2b2o5b3o3b2ob2obo5b2o2bo2b3obo14bo16b3o$25b2obobo7bo8bob2o2bo3b2o4b2o
3bobo9b3obo6bobobo$20b2o4bo4bo4bo12b2ob3o4bo19b2ob3o2bo2bo2b4o2b2o$20b
obo3bo4bob2o19bo24bo4b6o6b3o$20bo4bo4bo13bo9bo5b2o5b2o17bo2bo3bo4bo$
23bobob2o8bo5b2o7bo2bo2b2o3bo3b2o20bo3bo4bo$23b3o3bo6b2o5bobo9bo2bo9bo
5b2o14bo$22bo4b3ob2o3bobo4b2o8bo3bob2o3bo8bo$22b11o10bo7b2o4bo3bo3bo6b
2ob2o$23b2o6bo7b2obobo4b2obobo3bo2bo3bo6b2ob2o$23bo2bo11b6o5bobo2bo4bo
5bo6bo$24bo12bo6b2obo3bo3b5o16b3o$20b2o2bobob2o3b3o9bo4b2o4bob2o2bo14b
2o$19b2obob3o6bo2bo6bobo4bo6bo18b2ob3o$21bo2b3o2b2o3bo22bo18b2ob3o$21b
2obo4b2o5bobo36b3o2bobo$21b2obo4bo8bo36b2o4b3o$21b3o14bobo40b2o$21bob
2ob2o2b2o32bo17bo$14b2o9bo4b2o8b2o2b2o17b2o$14bobo4b2o21b2o2bobo7bo4bo
bo13bobobo$14bo7bobo5bobo7bobo3b2obobo5b2o18b2obobo3bo$17bo3b2o7bobo7b
3o4bo4bo4bobo5bob2o8b2o6bobo$17b2o11bo8bo24b2o14b2o4bo$21bo10bo7b2o9bo
8b2o2b2o70bo$20b3o2b2o4bo3bo10bobo11b2o2b2o69b2o$16b2o2bo3b2o5bo3b2o8b
4o7bo4b2o4b2o66bobo$16bo2b3o4bo4bo3bo9bo9b4o2b4o4bo16bo$16bob3o9b2o2bo
bo18bo2b3o3b3o18bobo50b2o$17bo2bo8bob2o24bo9bo16bo2bo50b2o$16bo11bo2bo
26b5o2bo19b2o$14b3o11bo33bo4b2o67b2o$13b2o14b2o32b2o70bo2bo$12b2ob5o
11bob2o99b2obo$11b2o20bo77b3o16b3o$10b2o3bo11b2o2bo4bo74bo18bo$10bobob
o12bo6bobo77bo11b2o3bo$5b3ob2obo14bo7b2o74bo2bo10b2o5bob2o$3o2bo2bo3bo
15bo4bobo76bo2bo11bo5b3o$o6bo4bo15b2o3b3o77bo15bob4o12b3o$bo4b2o4bo15b
2o2bo82bobo2b2o6bo2b2o14bo2b3o$3b6o73b2obo31b2obo2bo3b2o19bobo$4b2o28b
o47bo3bo11bo7bo4b2o10bobob3o23bo$33bobo46bo4bo9bobo5b2o4b2o10bobo25bo$
30bob2o50b2o11bo2bo17bobo32bobo$29b5ob2obo47bobo9b2o46b2obo6bo$28b2obo
4bo2bo65bob3o35b2o3bo2bo2bo$27b2o8b3o41bo6b2o13bo2bo32b3o4bo2bo2bo3bo$
26b2o9b2o41b5o4bo2bo10bo2b4o29bo6bo2bo2bo3bo$19b2o6b2o9bo35b2o4bo6b2o
14bo3b2o33bo3bo6bobo$19bobo3bo2bo6b2ob2o34bobo11bo50bo2bo8b2o$19bo3bo
3bo7bo38bo5bob2o6bobo47bo2bo6b3o$22b2o12bo38b2o4bo4bobo33bo18bo5bo3bo$
22bo3b2o47bo2bo6b3o34b3o18bobob2obo$75bo6b2ob2o35b3o20b2o$77bobobo2bo
28b2o6bo3bo23bo$113b2o6b4o$79bo4bo36bob2o21bo2bo$80b4o3$109bo$108b2o$
108bob5obo$111bo3b4o$110bo3bo$109b3o$110bob4o$103bo5b2o3bobo$102b5ob2o
bob3o2b3o$102bo8b3o5b2o$110b2o2bo$102bob2ob5o2bob2o$94b2ob2o4bo5b2o2b
2o$94bob3o$94bo2b2o3b2o7b2o3b2o$101b2o8b2o4bo$98bo3b2o9bo3b3o$98bo3b3o
3b2o2bo4bobo$102bo5bo8bo$103b2o3bobo9bo$115bo2b3o$114b5o$114bo2bo$116b
2o$117bo2b2o$114bo4b2o$115bobob2o$117b2obo2bo$118bo4bo$123bo$118bobo4b
3o$120b2obo$123bo!

[dbell]

Here is a smaller diagonal c/4 period 72 sideways rake.

Code: Select all

#C A diagonal c/4 period 72 sideways rake.
#C This is a smaller version of a previous (double) rake,
#C where one of its output streams is directed back into
#C its debris, and the resulting blocks are then consumed.
#C David I. Bell, 16 January 2024
x = 226, y = 218
70boo$69boobboo$71boobo$69b3obboo$66boobboobboo$66bo4bobo$66bo4bobo$
67boobo$67boo$59b3obbobboo$59bo3bo3bo$49boobboo7bo3bo$48booboboo3b3o5b
o$49bobo4boobo7bo$46b5o21bob3o$45boo3boo17boobo4boo$38boo7boobo3bo14bo
bb6o$26boo10bobo3bob3o3boobbo12bo$25boo11bo3bo3boobobbo3bo10boo$boobbo
13boo5bo14boo4bobbobo13boo$oo4bo11boo5boo15boboboo6boboo3boobbobboo$bb
oobobb3o9bo4bobobboo21bo7bo3b5o$4boobbooboboo7boo3boob4o5boo12bobo5bo
3boboo$11bobobo6boo10bo3bobobboo5boboobo4boo3bo$13bo20bo3b3obboo4boobo
bbo3bo5bo21boo$14bobo11bo8bo5b3obbo7boo6boo10bo10bobo$16bo13boo10b4ob
3obo5bo5bobo7b4obo8bo$17bo20bo3bo5boobo5boboo10boboo4bo8bobo$18bo4bob
oo4b3o4b5obbooboo3boo15b4o3boboo7boobo$18boboobbo3bobbo5bo7booboo8b3o
8boo6boboo4bo5bo$21bobbobobboboo4bobbo3bo3bo3b3obbo4bo5boo3bo8boboo4bo
$22boo3bob3obbobo3bobb6oboo5boob3o6boo3b3obobbo$27bo4bo3bobobob3o8bo3b
obb3obo4bobbob5obo4bo$22bo3bo6bob6oboobbo6boo4bo5boboboobo4bo7boboo$
14bo6b4o6bo7bobo4boo4b3o3boo5boo5bo9b4o$13boo5bobboboo4bo7bo13boobboo
bboobo6bo5bo4b3o$13bobo4bob3o9bobooboo15b3o3bo3bo9b5o6boo$17bobbooboo
6boobo4bo17boobboo3bobo8b3o7b3o$17bo6boo7boo3bo23bobo9b3o7b4o$16bo3bo
13bo3bo22boo5bobbo3bobbo6boo$19boobobbo9boo4bo19bo3bo3b3o3bobboboo$15b
3o24bo18bobobo7bo$14bobooboo3bo15b3o$13bo3b5oboo$13bo8boobo19bo27boo$
13b6o4bobbo19bo25boo$14booboo7bo17b3o27bo$15bo10bo49boo$14boo10bo22bo
25bo5bo$15bobbo6bo24bo28boobo$15bo10bo21b3o29bo3bo$15bobbo57boobb3o$
16bo4booboo27bo22boobo$21bo3bo28bo9bo13bo3bo$21boboo3bo23b3o8boo11boo
5boo$26bo36bobo10b3o$28bo28bo9bo7boboo$25bo32bo7bo3booboobobbo$21bo3bo
boo27b3o7bo3boob3o$20boo3bo46boboo$20bobobboo34bo6bobbo4bo$25boo35bo5b
3o$24boo34b3o4bobbo$25boo41bobobo$24boo39bo7bo$22boobbo28boo9bobbo3bo$
22b3o29boo8b3o$22bobboo29bo3bo$58boo$20boo35bo4boo$20booboo29boboobo4b
o$21bo31b6oboobbo7boo$22boo24bo4bobboo6bo6bobo$47boo6boobboo3bobbo3boo
$42b3obbobo10bobobobbo$42bo11boboo4bobo4bo$45bo4boobobobo5boo3boo$42bo
bbo4b3o7boobo5boo$43bobbo5boo6b3o$44bo15boo$46boboo3bo3bo3boo$48bob4o
4boo$48boboobobo5boo18boo$45b3ob4obo7bo18boo$44bobo16bo22b4o$44bo3boo
6booboobo11bo9bo5bo$44bob3oboo3boo5b5o6bobo15bo$47boob3obo8boobo6bobo
7bo3bo4bo$45b3o4bo21bo9b3o3boo$45b3o16boo24bo$50boo3bo4boobo21bo$44bob
o3boo3bo3boobboobo17bobo10boo$43boobo5bo8boboo19bobo8bobbobboo$52bobob
oo9bo17bo8bo7boo$39b3o4bo5b3o10bo32bobbo$39bo5boobobboobo38bo4bo$40bo
4boobobbobobboo3bo3b4o17bo6bob4o32b3o$42b4obo3boo7boo3b4o16bobo8boo33b
obb3o$43boo7bobbo4bobo22bobo8b3oboo30bobo$52bo11boo20bo4boo3b3obobo34b
o$49boo4bo8b3o24boo4b4obo32bo$48b3o3b3o24bo16b4o35bobo$46boo4bob3o7bo
15boo14boobo30boobo6bo$46boobbobobobo7bobo13bobo13bobbo29boo3bobbobbo$
45bobobbobboo5bo29boo4bobbo23b3o4bobbobbo3bo$46boboo4bo4boo4b3o21bobbo
4boo24bo6bobbobbo3bo$44boobboo4bo4bobo3bobo22boo34bo3bo6bobo$44b5o3bob
oo8bo58bobbo8boo$49bobbo9b3o59bobbo6b3o$47b3obbobo8boo60bo5bo3bo$44bo
3boo4bo59bo12boboboobo$45boo7bobo57bo14boo$48boo3boo59bo18bo$42boo4boo
3bobbo$42bobobbobboob3o74bobbo$42bo3bobbooboo$45b5o3bo42boo28b3o$46bo
49boo5boo21bobo$53bo48bobbo10b3o6bobbo$32bo17bobbo48bobo10bo3bo5boo$
31boo11b3obb3obbobo46bo10bo5bo$31bobo10booboo7bo45bob4o6bo5bo$45bobo3b
oo3bo45boo4bo5bo5bo$34boo10bobobboo48bo13bo3bo$34boo14bo3bo47boobo3bo
6b3o$43b3o3bobo47bo3boobo$25bo6boo3bo5bo3bobbo47bobo3bo4bo$24boo5bobbo
bobobboboo6b3o44bobo8bo$24bobo3boobo3bobb3o8bobbo48bo4bo$28bo9b3o11b3o
47bo3bo$27bo12bo10bo3bo47bobo45b3o33b3o33b3o$27bobbo10bo12boo97bo35bo
35bo$41bo9bo4bo95bo35bo35bo$50b3obbobbo$52bobo4boo66b3o44bo$47boobbobb
obbobobo111boo$47bo6bobobboo112bobo$47bobo9bo53boo3b3o54bo$53bo6bo52b
oo3bobo55bo$52boo6bo57bobbo51boboo$52bobobboo61boo52bo$56b4o53boo$56bo
boo53boo60boobo$48bo69b3o47b3o3boo3bo$47boo68bob4o45bobb5o4bo$47bobobb
5o112booboo3boo$51b6o39boo70b3o$50bo3boo40bobo$51bo44bo82bo$97boo62b3o
4booboo5boo$97bobbo44boo14bobb3obboo7bobo$97bo41bo5bobo15bo10bo$99bobo
36bobo6bo14boo5bo3b5o$103bo33bo3boo3boo14boobboo4boboo$101bobbo4bo27b
5o20boo3bo5booboo$101bobbo3bo28b4obo20bo3bo3b3o7b3o$103b3obb3o27b4o23b
3ob3obo7bo$99b3ob3o33boo3boo17b3obbo6boboo5b5o$95b3oboobb3o37boboo17b
oo9boboo5boob3o$95bo7boo37bobbo23boo8b3obboo3bo$96bo6boo38boo23bo8boo
6bo3b4o$99b5o65boo9boo3bobbobboo$101boo35b3o44bobo3boo$100boo36bo50bob
3o$100boo37bo49bo$99bobo39boo46b4o$98boo42bo$98bobo89b3o$97bo41bo$98b
oo36b4obo$136bo4bo$137bo4boo$139bobb3o$143boo$140booboo$141boboo$141bo
bo$142boo$$157b3o$157bo$158bo$160boo$161bo3boo$164boo$167boo$161b6o$
161bobboobo$148boo13bo4bo$148bobo10bo6bo$148bo11bo$142bo8bo7boo3bo$
140bobo8boobboobobb3o$141boo12bo5bo$155bobo3bo$153boboo3bo$136boo14boo
boo$135boo15bobbo$137bo16bobo$139boo13bobboo$138bo5bo$142boobo$143bo3b
o$139boobb3o$139boobo$127bo13bo3bo$126boo11boo5boo$126bobo10b3o$130bo
7boboo$129bo3booboobobbo$129bo3boob3o$135boboo$131bobbo4bo$131b3o$130b
obbo$131bobobo$136bo$132bo3bo!

The new block eater spaceship allows the creation of a period 4 glider eating convoy which is just as general and smaller than the recently found one.

Code: Select all

#C A diagonal c/4 period 4 convoy which can eat backward gliders.
#C The gliders are eaten from just one side, so gliders (or other
#C objects) on the adjacent lane are untouched.  This uses a backward
#C glider-to-block reaction and a block eating spaceship in sequence.
#C David I. Bell, 16 November 2024
x = 81, y = 52
bo$bbo$3o6$10bo$11bo$9b3o4$44boo$43boo$18bo26bo$19bo27boo$17b3o26bo5bo
8bo$50boobo6boo$51bo3bo4bobo$47boobb3o8bo$24bo22boobo12bo$25bo9bo13bo
3bo6boboo$23b3o8boo11boo5boo5bo$34bobo10b3o$28bo9bo7boboo12boobo$29bo
7bo3booboobobbo4b3o3boo3bo$27b3o7bo3boob3o8bobb5o4bo$43boboo9booboo3b
oo$39bobbo4bo7b3o$39b3o$38bobbo24bo$39bobobo4b3o4booboo5boo$44bo3bobb
3obboo7bobo$40bo3bo5bo10bo$49boo5bo3b5o$49boobboo4boboo$49boo3bo5boob
oo$50bo3bo3b3o7b3o$52b3ob3obo7bo$50b3obbo6boboo5b5o$51boo9boboo5boob3o
$56boo8b3obboo3bo$55bo8boo6bo3b4o$56boo9boo3bobbobboo$72bobo3boo$76bob
3o$76bo$76b4o$$77b3o!

It's a lucky break that closely packed gliders (16 generations apart) are still eaten.

BCNU,
-dbell

[dbell]

The diagonal c/4 period 40 block puffer can be used to quintuple the period of rakes which are not already a period of 5. (If the rake period is not already a multiple of 8, then the multiplier will have one or more additional factors of 2.)

The filtering can use the double row of blocks, or else a single row after one row has been eaten. Using the double row seems better in general since fewer gliders get through the blocks.

Here is a diagonal c/4 period 360 rake showing the filtering. The reactions using this period rake are particularly good, producing exactly one output glider and only blocks as debris. The other period rakes I tried are harder to clean up.

Code: Select all

#C A diagonal c/4 period 360 sideways rake.
#C This uses a period 40 double block puffer to filter the output
#C from a period 72 rake, with several block eater spaceships used to
#C delete remaining blocks.
#C David I. Bell, 16 January 2024
x = 410, y = 218
70boo$69boobboo$71boobo$69b3obboo$66boobboobboo$66bo4bobo$66bo4bobo$
67boobo$67boo$59b3obbobboo$59bo3bo3bo$49boobboo7bo3bo$48booboboo3b3o5b
o$49bobo4boobo7bo$46b5o21bob3o$45boo3boo17boobo4boo$38boo7boobo3bo14bo
bb6o$26boo10bobo3bob3o3boobbo12bo$25boo11bo3bo3boobobbo3bo10boo$boobbo
13boo5bo14boo4bobbobo13boo$oo4bo11boo5boo15boboboo6boboo3boobbobboo$bb
oobobb3o9bo4bobobboo21bo7bo3b5o$4boobbooboboo7boo3boob4o5boo12bobo5bo
3boboo$11bobobo6boo10bo3bobobboo5boboobo4boo3bo$13bo20bo3b3obboo4boobo
bbo3bo5bo21boo$14bobo11bo8bo5b3obbo7boo6boo10bo10bobo$16bo13boo10b4ob
3obo5bo5bobo7b4obo8bo$17bo20bo3bo5boobo5boboo10boboo4bo8bobo$18bo4bob
oo4b3o4b5obbooboo3boo15b4o3boboo7boobo$18boboobbo3bobbo5bo7booboo8b3o
8boo6boboo4bo5bo$21bobbobobboboo4bobbo3bo3bo3b3obbo4bo5boo3bo8boboo4bo
$22boo3bob3obbobo3bobb6oboo5boob3o6boo3b3obobbo$27bo4bo3bobobob3o8bo3b
obb3obo4bobbob5obo4bo$22bo3bo6bob6oboobbo6boo4bo5boboboobo4bo7boboo$
14bo6b4o6bo7bobo4boo4b3o3boo5boo5bo9b4o$13boo5bobboboo4bo7bo13boobboo
bboobo6bo5bo4b3o$13bobo4bob3o9bobooboo15b3o3bo3bo9b5o6boo$17bobbooboo
6boobo4bo17boobboo3bobo8b3o7b3o$17bo6boo7boo3bo23bobo9b3o7b4o$16bo3bo
13bo3bo22boo5bobbo3bobbo6boo$19boobobbo9boo4bo19bo3bo3b3o3bobboboo$15b
3o24bo18bobobo7bo$14bobooboo3bo15b3o$13bo3b5oboo$13bo8boobo19bo27boo$
13b6o4bobbo19bo25boo$14booboo7bo17b3o27bo$15bo10bo49boo$14boo10bo22bo
25bo5bo$15bobbo6bo24bo28boobo$15bo10bo21b3o29bo3bo$15bobbo57boobb3o$
16bo4booboo27bo22boobo$21bo3bo28bo9bo13bo3bo$21boboo3bo23b3o8boo11boo
5boo$26bo36bobo10b3o$28bo28bo9bo7boboo$25bo32bo7bo3booboobobbo$21bo3bo
boo27b3o7bo3boob3o$20boo3bo46boboo$20bobobboo34bo6bobbo4bo$25boo35bo5b
3o$24boo34b3o4bobbo$25boo41bobobo$24boo39bo7bo$22boobbo28boo9bobbo3bo$
22b3o29boo8b3o3bo138boo$22bobboo29bo3bo8boo137boo$58boo9boo139bo$20boo
35bo4boo6bo106boo26boo$20booboo29boboobo4bo3bo108bobo24boo5b3o$21bo31b
6oboobbo3bo101boo5bo28bobbooboo$22boo24bo4bobboo6bo105bobo3boobbo27bo$
47boo6boobboo3bo9boo94bo11bo24booboo$42b3obbobo10bobobo3boo3bobo97bo3b
oo3b3o23bo$42bo11boboo4bobo3bo4boo98boo4boo4bo19b3o$45bo4boobobobo5boo
114b7o19bobbo$42bobbo4b3o7boobo116b4o9bo10bobbo$43bobbo5boo6b3o129boo
4bo4boo$44bo15boo6booboo106b3obbo7bobobb4obboo$46boboo3bo3bo3boo5boob
oo105booboo14bobboobo$48bob4o4boo9bobo108boboboo9bobobo3bo$48boboobobo
5boo7bo114bobbo5b6o$45b3ob4obo7bo123b3o5boboo$44bobo16bo19boo5bo65b3o
27bo$44bo3boo6booboobo20boo4boo65bo8bo28boo$44bob3oboo3boo5b5o21boo67b
o6boo20boo6boo$47boob3obo8boobo9bo8b4o5bo64bo3boobobb3o14boo4boobo$45b
3o4bo22bobo6bo8bobo56boo4booboobbo3bo3bo13booboob3obo10bo11boo$45b3o
16boo9bobo5bo8booboo54boo5bo6boo4bobo15boboboo6b3o3boo11bobo$50boo3bo
4boobo12bo7b3o4bobo59bo4boo4b4oboo19b3obo6bo5bobo10bo$44bobo3boo3bo3b
oobboobo23bobboo60boo4boo4bobo3bo15b3o5bo4bo16boobbo$43boobo5bo8boboo
21bo6bo11boo48boo16bobo3b3o8booboobo7boo4boo13bo$52boboboo9bo18bo3b3o
6boo5boo62boo3bobbo15bo8boo5boo8boo3b3o$39b3o4bo5b3o10bo19bo4bo8bobboo
bo69bo5bo5bo4boo22b3o3boo4bo$39bo5boobobboobo31b3o11bobo73bo9boo3boo9b
o5boo6bo5b7o$40bo4boobobbobobboo3bo3b4o17b3o11b3o28b3o44b3o5bobo9boob
oo4bobboo3boboo4b4o$42b4obo3boo7boo3b4o25b4o33bobb3o47boo4b5oboo3bo3bo
b3oboboo$43boo7bobbo4bobo25bo9bo33bobo38bo6b3oboobbobobbobobo5bobobboo
$52bo11boo21bobo4bo4b4o34bo34b5o3bo7b3o5bobbo3boo3bo$49boo4bo8b3o20bob
o4boboboo4bo30bo36bobboo3b9oboobboboo5boobo11bo$48b3o3b3o24bo6bo5b3obb
o4bo32bobo34boobo4b5o4bobbobbo4b3o3bobo6boo11bob3o$46boo4bob3o7bo15boo
12bob4obo28boobo6bo51bo4bo3bobo5bobo5bobo7boobo4boo$46boobbobobobo7bob
o13bobo13b3obo3bo24boo3bobbobbo36bobo5bo11bo10bobobo14bobb6o$45bobobbo
bboo5bo34boobbobbobo18b3o4bobbobbo3bo43boo15bo5boobboo7boo5bo$46boboo
4bo4boo4b3o26b3oboo3bo19bo6bobbobbo3bo38b3obbobo11boobo5boobbob3o9boo$
44boobboo4bo4bobo3bobo24boob5oboo23bo3bo6bobo40b3o18bobbobboo3bobooboo
boboboo$44b5o3boboo8bo26bobbo5b3o20bobbo8boo40b6o20bo8bo4boo3boboboo$
49bobbo9b3o27boo30bobbo6b3o73boo4bo3b4o$47b3obbobo8boo60bo5bo3bo44bo
29b3o3bo$44bo3boo4bo72boboboobo45bo29boo6boobb3o$45boo7bobo72boo42b3o
4bo$48boo3boo61bo16bo39bo$42boo4boo3bobbo59bo57bobb3o11boo$42bobobbobb
oob3o60bo13bobbo42bo3b3o8boo4boo$42bo3bobbooboo123bob4o14boo$45b5o3bo
73boo50boo$46bo58bo20bobo48boobo$53bo44boo6boo10bobo4b3obo48bo$32bo17b
obbo44boo3booboo9bobobobb3obb3o46bo$31boo11b3obb3obbobo46boo3bo15boboo
3bo46boo$31bobo10booboo7bo52bo5bo7bobb5o49bo$45bobo3boo3bo52bo4bo9b3o
46boo$34boo10bobobboo48bo4bo3bo4bo7boboo45boo4booboo18boo$34boo14bo3bo
46boobooboobo3bo9bo49bobbo23boo4boo$43b3o3bobo49boo12bo7bo83boo$25bo6b
oo3bo5bo3bobbo50boobbobbo66boobbo$24boo5bobbobobobboboo6b3o47b3oboobo
8bobobo55bo$24bobo3boobo3bobb3o8bobbo47bobooboo9bobo$28bo9b3o11b3o47b
4obo$27bo12bo10bo3bo46boobo49b3o33b3o33b3o177b3o$27bobbo10bo12boo47bob
o51bo35bo35bo179bo$41bo9bo4bo47bo51bo35bo35bo179bo$50b3obbobbo152boo$
52bobo4boo113bo36boo4boo37bo$47boobbobbobbobobo111boo42boo36boo$47bo6b
obobboo61bo6b3o41bobo79bobo$47bobo9bo61b3o51bo81bo$53bo6bo55bobb3o54bo
81bo$52boo6bo54bo5bo51boboo78boboo$52bobobboo56bo58bo81bo$56b4o56boo3b
obb3o$56boboo60b3obo50boobo78boobo$48bo66boo51b3o3boo3bo27boo12boo27b
3o3boo3bo$47boo66boo51bobb5o4bo26bobb3o8boo4boo21bobb5o4bo$47bobobb5o
112booboo3boo28bob5obo11boo22booboo3boo$51b6o39boo24boo44b3o37bo6boo
33b3o$50bo3boo40bobo23boo84bo5b3o$51bo44bo82bo28bobbobbo46bo$97boo62b
3o4booboo5boo31b4o28b3o4booboo5boo$97bobbo48bo11bobb3obboo7bobo20boobo
bbo7bobbo24bobb3obboo7bobo$97bo50b3o12bo10bo26boboobboobo3bobbobo25bo
10bo$99bobo45b5o10boo5bo3b5o23boboo3bo5bobbobo24boo5bo3b5o$103bo42boo
3boo9boobboo4boboo26bo4bo5boo29boobboo4boboo$101bobbo46b3o8boo3bo5boob
oo24boo3bo3bobo30boo3bo5booboo$101bobbo4boo37bo14bo3bo3b3o7b3o9boobbo
4boo6bob3o30bo3bo3b3o7b3o$103b3obbobo35b3o16b3ob3obo7bo10boo4bobboo6b
4o34b3ob3obo7bo$99b3ob3o4bo30bo3bo17b3obbo6boboo5b5o5boobobb3o7boo3boo
28b3obbo6boboo5b5o$95b3oboobb3o36b3obbo16boo9boboo5boob3o6boobbo9bobo
33boo9boboo5boob3o$95bo7boo5bo36boo20boo8b3obboo3bo13bo6bobobboobo32b
oo8b3obboo3bo$96bo6boo3bobo32b3obboo18bo8boo6bo3b4o7bobbo3boo6boobo31b
o8boo6bo3b4o$99b5o5boo34boo22boo9boo3bobbobboo8bo4boo9bo33boo9boo3bobb
obboo$101boo35b3o6b3o35bobo3boo9bo5bo8bobo47bobo3boo$100boo36bo8bo41bo
b3o19boobbobo21boo28bob3o$100boo37bo49bo23bo27boo28bo$99bobo39boo46b4o
20bo57b4o$98boo42bo72b3o$98bobo89b3o22b6o51b3o$97bo41bo75bo18b3o$98boo
36b4obo73boo3bo13bo5boobo$136bo4bo73boobbo17b3o3bo$137bo4boo72b3obb3o
10bo3b3o3bo$139bobb3o73bo4bobo9bobo3bo$143boo73b4obobo10boboo$140boob
oo73b4obobo12bobb3o$141boboo76bo6b3o3boob3o5boo$141bobo84bobb4o3bobbo
3boo$142boo85boob3o$228b3o4b3obb4o$157b3o61bo14bo3bobo$157bo62b6o12bo
3boo$158bo61bo7boo12boo$160boo59bo6bo8boo$161bo3boo56bobobbo8boo5bo$
164boo58bo4bo5boboo4b3o$167boo60boo3b3o6bobo$161b6o62boo3bobo8boo$161b
obboobo76boo$148boo13bo4bo71b3o$148bobo10bo6bo71bobbo$148bo11bo81bo$
151bo7boo3bo76boo3boo$151boobboobobb3o77boo3bobo$155bo5bo79b3obbo$155b
obo3bo84bo$146bo6boboo3bo82boboob3o$136boo6bobo5booboo88boo5bo$135boo
8boo5bobbo88b3o6bo$137bo16bobo93bobo$139boo13bobboo87boboo$138bo5bo$
142boobo$143bo3bo$139boobb3o$139boobo$127bo13bo3bo$126boo11boo5boo$
126bobo10b3o$130bo7boboo$129bo3booboobobbo$129bo3boob3o$135boboo$131bo
bbo4bo$131b3o$130bobbo$131bobobo$136bo$132bo3bo!

Now we can forget about cleaning up those previous hugely dirty period 360 rakes!

BCNU,
-dbell

[dbell]

I was mistaken on my previous post about the period quintupling reactions. If the input period is a multiple of 8, then the exact same convoy will multiply its period by 5 without any changes. (It's only dirtier when fed an input stream which isn't a multiple of 8.)

So here is another rake which is suitable.

Code: Select all

#C A diagonal c/4 period 1160 sideways rake.
#C This uses a period 40 double block puffer to filter the output
#C from a period 232 rake, with several block eater spaceships used to
#C delete remaining blocks.  The same period 40 convoy used here will
#C quintuple the period of any rake which isn't already a multiple of
#C five and which is a multiple of eight.
#C David I. Bell, 16 January 2024
x = 434, y = 201
77boo$77bobo$77bo$80bo$80boo$76boobboo$76bobboo$76bob3o$77bobbo$76bo$
74b3o$73boo$72boob5o$71boo$58b3o9boo3bo$58bo11bobobo$59bo5b3oboobo$61b
oobbobbo3bo$62bo4bo4bo$52bo13boo4bo15b3o$41b3o7boo11b5o19bo$28bo12bo9b
ob5oboboboobo22bo$27boo13bo3boo4bob3obb3obbo26boo$27bobo14boob3o6boo
32boo$34b3obo6boboob6obobbo4bo$30boobboobb3obb3obo4boo4bo5boo23bo$30b
oobboo3b4o4bobob3o3bo6bobo20bo4bo$31boo6bo4boboo9bo16b3o9b3obobo$31b4o
bo3bo3boboo3bo17boo3bobb3o5booboo$30boboboobo7b3o3bob3o12bobbo6boo4boo
$29boo8boobbo3bo5boobboob3o4bo3bo11boo$29bobobb3o4boo3b3o8boo5b6obbobo
9boo$28bo17boo12boobo4bo10bo3boo$29boo8bobbo8boo19boo3boo3b3o$35booboo
bbo8bobo13bo4bobbobbobbo$35bobo13bo12b3o9b3o3bobo4boo$34bobboobbo3boo
5bobo10bobo6b3o7boo3bobo$34b3o7boo4bo35boo$34booboobo5bobbo4b3o27bob4o
$35bo12boo12bo22boobbo$35bo3bo8boo6boboboobo$35bo3bo9bo8bobbobo$36boob
o8boo10boo$36bo7b4obobbo$37bo5boobobobo7boo$37bo7bo4b3o5boo5boo$34boo
3bo20bo3boo$34bobobboo9bo9boo3bo$34bo24bo4boo$39b3o6boo10bo$39b3o6bobb
oo6bo$38bo8bob3o8bobbo$39bobobbobboo12bo$40boo4bo$41b3o4boo136boo86boo
$44boo4bo15boo118bobbo84bobbo$50boo13boo119bob3o83bob3o$40bo5boobboboo
6boo4bobo121bo87bo$31boo6boo3boobboboo7boo5boobo113boboo3bo80boboo3bo$
31bobo5bobobbobobb3o9bo5bobo112b5obobo79b5obobo$31bo11bobbo16boobbobo
112bobbo84bobbo$35b3o5bo3boo14b4obbo113bobbobbo81bobbobbo$33boob4o11bo
13boobboo113bobo85bobo$33b3o4bo3bo13boo6bo4bo104boo3bobbo79boo3bobbo$
29b3o5boobo5b3o8boo3b3oboo3bo103boobbobobbo78boobbobobbo$29bobbo4b3o
19bob4obbobo95booboo5bobb5o70booboo5bobb5o$23b3o4boboobooboo27bo97bob
3obooboo3bobbobo68bob3obooboo3bobbobo$19boobbo9booboboobb3o16bo3bobbob
o94bo9bobbo4bo69bo9bobbo4bo83boo$18boo4bo8boo5bo20bo3bo4bo91boobobbob
oobbo13boboo58boobobboboobbo13boboo74boo$19bobo4boob3o3bo3bo26bo95bo3b
o19b3obooboo55bo3bo19b3obooboo73bo$19b3o5booboobo3bobbo8b3o6b3o94bo6bo
b3o18boobbobboobo47bo6bob3o18boobbobboobo39boo26boo$19boo10bo5boo10boo
91boo10boo9bo3b3o13bo44boo10boo9bo3b3o13bo49bobo24boo5b3o$21bobo5boboo
4bo11bo3bobboobbo81bobo9bobobb4o3b3ob3o14bo42bobo9bobobb4o3b3ob3o14bo
40boo5bo28bobbooboo$24bobo4boobbobbo5boo3b5o63booboo13boo5bo15b3oboobb
oobbobo9b3o20booboo13boo5bo15b3oboobboobbobo9b3o43bobo3boobbo27bo$23b
oo4b3obbo3bo6b4obbo7bo28b3o26bob3o13bobo3boobbo11bobbobo7b4o4bobbo4bo
18bob3o13bobo3boobbo11bobbobo7b4o4bobbo4bo41bo11bo24booboo$22boboboobo
bo3bo10boo4boobbo3bo27bobb3o23bobboo3boo8bo11bo29boobbobbo20bobboo3boo
8bo11bo29boobbobbo46bo3boo3b3o23bo$26bobbo7boo15bobbo31bobo32booboboo
7bo3boo3b3o6bobbo9b3o5boboobboo27booboboo7bo3boo3b3o6bobbo9b3o5boboobb
oo46boo4boo4bo19b3o$21boo13b3o11bobob4obbo33bo26bo5boboo7boo4boo4bo4b
oo3bo8b3o7boo28bo5boboo7boo4boo4bo4boo3bo8b3o7boo56b7o19bobbo$20b3obbo
6boobb3o11b3o5bobo31bo28bo5bo3bo12b7o3boo4bo4b3o8booboo23bo4bo5bo3bo
12b7o3boo4bo4b3o8booboo23bo33b4o9bo10bobbo$23boobo5bobo6boo10bo3boboo
33bobo32bo15b4o4bo6boobbo4boo4b6o12bo9boo12bo15b4o4bo6boobbo4boo4b6o
12bo9boo45boo4bo4boo$20bo3boboobobo6boboo17bo27boobo6bo33bobo20bobobo
bbobbobb11o4bo7boobo9bobo13bobo20bobobobbobbobb11o4bo7boobo9bobo31b3o
bbo7bobobb4obboo$21bo7bo10bo14bo3bo26boo3bobbobbo35bo23boo5bo3b4obo8bo
4boobo4bo25bo23boo5bo3b4obo8bo4boobo4bo40booboo14bobboobo$22boo7bo5bo
bboo13boob3o19b3o4bobbobbo3bo35bobo6bo5boo4boobo4bobo21bo5b4o9bobo13bo
bo6bo5boo4boobo4bobo21bo5b4o9bobo30boboboo9bobobo3bo$22bo4b4o5bo4bo14b
oo9bo12bo6bobbobbo3bo40b3ob3obboo5bo6b4o10boo8bo3bo5bo7booboo18b3ob3o
bboo5bo6b4o10boo8bo3bo5bo7booboo35bobbo5b6o$20b3o3booboo5bobb4o14boboo
5bobo14bo3bo6bobo38bob4ob3o3bo4boboo3bo5bobboo3boo9bo3bo5bobbob6o17bob
4ob3o3bo4boboo3bo5bobboo3boo9bo3bo5bobbob6o38b3o5boboo$20bo8boo5bobo3b
o14boboo4bobbo11bobbo8boo51bo3boobobboo3boboo3boboobboob4o5boo3boo6b3o
bboo28bo3boobobboo3boboo3boboobboob4o5boo3boo6b3obboo9b3o27bo$20bobo7b
oboo8boo15boo5boo13bobbo6b3o51boob3obobo4bo3boobbobo11bo5bo3boboo3b3o
bboo28boob3obobo4bo3boobbobo11bo5bo3boboo3b3obboo9bo8bo28boo$16boo4bo
5boobboo7boo15bo23bo5bo3bo49b6o3bobboobboo3boo4bo4boo5bo4b3o5b4o3bobo
26b6o3bobboobboo3boo4bo4boo5bo4b3o5b4o3bobo11bo6boo20boo6boo$15boo5bob
o3bobboo9bo41boboboobo45b3obb3oboo3bo3bobo5bo5bo6bobo3b3obo8b7o23b3obb
3oboo3bo3bobo5bo5bo6bobo3b3obo8b7o15bo3boobobb3o14boo4boobo$17bo4b3obb
obbobo9b3o41boo41b3o4bobboboo12bobo5bo5bo3bo6bobb5o5bobbo6bo13b3o4bobb
oboo12bobo5bo5bo3bo6bobb5o5bobbo6bo6boo4booboobbo3bo3bo13booboob3obo
10bo11boo$19boo6boo3bo3b3obbo3bo44bo38bo6bobbo8bobobbobo14bobboo3b3obo
boo7b4o7bo12bo6bobbo8bobobbobo14bobboo3b3oboboo7b4o7bo4boo5bo6boo4bobo
15boboboo6b3o3boo11bobo$19boo7bobo5bo3bo89bo4boobo9bob3obo18bobb3oboo
bbo7bo6bo4bo13bo4boobo9bob3obo18bobb3oboobbo7bo6bo4bo6bo4boo4b4oboo19b
3obo6bo5bobo10bo$28bo3bo4bo49bobbo41b4o4boo6bobboboo25bobobbo15bobbo
15b4o4boo6bobboboo25bobobbo15bobbo8boo4boo4bobo3bo15b3o5bo4bo16boobbo$
27boobobo7booboo90bo3boobo9bobboo21bobo8b3obobobbobboo20bo3boobo9bobb
oo21bobo8b3obobobbobboo10boo16bobo3b3o8booboobo7boo4boo13bo$24b3oboo
11bo70b3o18b3o3boo9booboboo20b5obb8obo3bo23b3o3boo9booboboo20b5obb8obo
3bo30boo3bobbo15bo8boo5boo8boo3b3o$23bo4bobbobo6boo70bo22bo3bo37bo3bo
7bo6bo26bo3bo37bo3bo7bo6bo36bo5bo5bo4boo22b3o3boo4bo$22boobobobbobo8b
oo38boo30bo16b3obbooboo18bo27boo30b3obbooboo18bo27boo46bo9boo3boo9bo5b
oo6bo5b7o$21bo3bo3boo11bo37bobbo28b3o15booboobb3o19boo57booboobb3o19b
oo75b3o5bobo9booboo4bobboo3boboo4b4o$21bobo6bobobb3o4b3o36bobo28b3oboo
11bobo9bo16boo57bobo9bo16boo82boo4b5oboo3bo3bob3oboboo$24bobobo3bobbo
5bo40bo46boob3o5boo75boob3o5boo89bo6b3oboobbobobbobobo5bobobboo$20boob
oo4boo5bo4bo91bo4boboo20bo58bo4boboo20bo67b5o3bo7b3o5bobbo3boo3bo$20b
oo3bo3boo7boo49bo25bo15bo8boo21boo54bo8boo21boo65bobboo3b9oboobboboo5b
oobo11bo$21booboobbobobo6bo48boobo16boobobb5o12boo7boo20boo29boo24boo
7boo20boo29boo37boobo4b5o4bobbobbo4b3o3bobo6boo11bob3o$21boo5bobobo6bo
46boo4bo14boo3boboboobo11bobo7bo51bobo23bobo7bo51bobo54bo4bo3bobo5bobo
5bobo7boobo4boo$21boobo5bo56bo20bobbo5bobo12b3o6bobo22bo26bo26b3o6bobo
22bo26bo41bobo4boobo9bo10bobobo14bobb6o$24bo5b3o48b3obobo20bobbo20b3o
32boo27bo23b3o32boo27bo45boobobo11bo5boobboo7boo5bo$19bo4bo5bo50bo3boo
bobo17bo23bo5bobo25boo28boo3bo18bo5bobo25boo28boo3bo35b3o4boobbo7boobo
5boobbob3o9boo$18boo3boo5boo50boobo3bo21bo25booboobo52boobbobo22booboo
bo52boobbobo35b3o7bo10bobbobboo3boboobooboboboo$18bobo3b5o72boo5bobbo
5b3o17boboo3bo25bo26boboobbo21boboo3bo25bo26boboobbo31b6o5boo13bo8bo4b
oo3boboboo$22boo3boo71boo3boboobboo4bo24boo27boo24boobob3o25boo27boo
24boobob3o63boo4bo3b4o$21bo6bo51boo20bob4obb3o6bo23boo25boo25bobo3boo
26boo25boo25bobo3boo33bo29b3o3bo$28boo43boobo3boo20boobobb4obboo26boo
53bo5bo26boo53bo5bo34bo29boo6boobb3o$21bo4b3obbo41bo3bo15boo7bo3bobbo
4boobo23b3obo28bo8b3o17boo24b3obo28bo8b3o17boo26b3o4bo$7b3o11bobbobbo
45bo4bo13bobbo6bo3boboobbo3bo19b3obbo33boo6bo12boo26b3obbo33boo6bo12b
oo33bo16boo$7bo13bobbo4bobobo41boo15bo9bobob3ob3o8boobbo10bo37boo8bo
10boboo25bo37boo8bo10boboo33bobb3o10boo4boo$8bo12bobo9bo43bobo11b3o9bo
bbobo11boo4bo10bo3boo43b3o5bo4bo25bo3boo43b3o5bo4bo34bo3b3o13boo$10boo
10bo3b3o62boo9boo3bo3bobbo6bobo17bo36bo8b6oboo3bo29bo36bo8b6oboo3bo35b
ob4o$11bo11boo3b3o48boo13boo7bo7bobb5obb4oboo13bo37boo9bo4bo33bo37boo
9bo4bo41boo$20b6obb3o49bobbo9bobbo6bo4bo7bo3boo5boobo9boo36boo9bobo4b
oo30boo36boo9bobo4boo37boobo$8boo3bo5boobbobbobbo78boo6boobbo4boo12bo
48b3o36bo48b3o45bo$3o5boobbobo4bo6boboo49boobbo7boo15boo9boo3b4obboo6b
ooboo39bo4bo38booboo39bo4bo48bo$o6bobo3bobb3o3bo56bo11bobbo29bo6bo51b
oo3bobo80boo3bobo45boo$bo4boo6b3o4bo6boobo60b3o42bo4bo39boo5b5o31bo4bo
39boo5b5o44bo$3b4obo19boo50b3o44b3oboo4bo52boobo31bo52boobo37boo25boo$
4boo10bo11b3obo104boboo45bo38boboo45bo43boo4booboo17boo4boo$16bobo10bo
bbo43bo4boo47bo6bobo47boo36bobo47boo43bobbo28boo$26boobbobboo40boo53bo
7boo46boo38boo46boo3boo$26boo4boobboo37bobobboo48bo148boo40boobbo$24bo
boobb3obbo43b3o241bo$23b3o4boo4bo41bobbo$23bobo9bobo35boo$35bo37bobobb
oo61b3o55b3o113b3o113b3o$28b3o42bobboboo63bo57bo115bo115bo$28bo6bobo
39boo63bo57bo115bo39boo74bo$29bobb3o37bo3b3o277boo4boo$31bobbo29boo5b
oo3boo242bo41boo38bo$34bo28boo5bo248boo80boo$23b3o39bo4bobo246bobo79bo
bo$23bo9bo33boobbo249bo81bo$24bobb6o34boo17boobo232bo81bo$26bo59bo3bo
228boboo78boboo$27boo57bo4bo228bo81bo$88boo$90bobo228boobo41boo35boobo
$314b3o3boo3bo27boo11boo4boo22b3o3boo3bo$85bo6boo220bobb5o4bo26bobb3o
13boo22bobb5o4bo$84b5o4bobbo218booboo3boo28bob5obo35booboo3boo$78boo4b
o6boo221b3o37bo6boo33b3o$78bobo11bo261bo5b3o$78bo5boboo6bobo228bo28bo
bbobbo46bo$79boo4bo4bobo214b3o4booboo5boo31b4o28b3o4booboo5boo$79bobbo
6b3o215bobb3obboo7bobo20boobobbo7bobbo24bobb3obboo7bobo$79bo6booboo
218bo10bo26boboobboobo3bobbobo25bo10bo$81bobobobbo219boo5bo3b5o23boboo
3bo5bobbobo10boo12boo5bo3b5o$308boobboo4boboo26bo4bo5boo15boo4boo6boo
bboo4boboo$83bo4bo219boo3bo5booboo24boo3bo3bobo22boo6boo3bo5booboo$84b
4o221bo3bo3b3o7b3o9boobbo4boo6bob3o30bo3bo3b3o7b3o$311b3ob3obo7bo10boo
4bobboo6b4o34b3ob3obo7bo$309b3obbo6boboo5b5o5boobobb3o7boo3boo28b3obbo
6boboo5b5o$310boo9boboo5boob3o6boobbo9bobo33boo9boboo5boob3o$315boo8b
3obboo3bo13bo6bobobboobo32boo8b3obboo3bo$314bo8boo6bo3b4o7bobbo3boo6b
oobo31bo8boo6bo3b4o$315boo9boo3bobbobboo8bo4boo9bo33boo9boo3bobbobboo$
331bobo3boo9bo5bo8bobo20boo25bobo3boo$335bob3o19boobbobo20boo29bob3o$
335bo23bo57bo$335b4o20bo57b4o$361b3o$336b3o22b6o51b3o$361bo18b3o$361b
oo3bo13bo5boobo$361boobbo17b3o3bo$362b3obb3o10bo3b3o3bo$364bo4bobo9bob
o3bo$364b4obobo10boboo$364b4obobo12bobb3o$367bo6b3o3boob3o5boo$374bobb
4o3bobbo3boo$375boob3o$374b3o4b3obb4o$367bo14bo3bobo$366b6o12bo3boo$
366bo7boo12boo$367bo6bo8boo$369bobobbo8boo5bo$370bo4bo5boboo4b3o$375b
oo3b3o6bobo$375boo3bobo8boo$390boo$386b3o$386bobbo$388bo$387boo3boo$
387boo3bobo$387b3obbo$392bo$389boboob3o$391boo5bo$390b3o6bo$396bobo$
392boboo!

BCNU,
-dbell

[dbell]

The new diagonal c/4 block and blinker eaters make it easier to construct things like glider duplicators.

Code: Select all

#C A diagonal c/4 period 4 convoy which duplicates gliders.
#C This is shown here with two input gliders at their minimum
#C separation (116 generations).  The output gliders are on close
#C paths but can be separated by a glider turning spaceship.
#C David I. Bell, 16 January 2024
x = 172, y = 140
53bo$52boo$46bo5bobo$45boo$45bobo3boobobo$49bo7boo$48bo4bo5boo$48bobbo
bb6o3$54boobboo$54bob4o$54bo4bobo$62bo$61b3o$$61bo$$61boobo$61boob4o$
62bobb4o$63boo5$3o55b3o$bbo57bo38boo$bo57bo27b3o9bobo$87bobb3o6bo9bo$
88bobo16boobo$93bo4boobbo3boobbo$91bo6boobboboobbo$93boboobo3b5o$102b
oo$94bobb6o32b3o$95b7o33bo$97b3o36bo$138boo$139bo3boo$142boo$145boo$
139b6o$139bobboobo$126boo13bo4bo$126bobo10bo6bo$126bo11bo$129bo7boo3bo
$129boobboobobb3o$133bo5bo$133bobo3bo$131boboo3bo$130booboo$130bobbo$
132bobo$132bobboo3$82b3o$82bo$76b3o6bo$76bo6bobbo$77bo6boboo$79boo3bob
oo$80bo3bobo$84boboo$74b3o3boo6bo$74bobboobbob3obo$75bobbobboobo$77boo
booboobo$83bobbo$82boobbo4$87bo$86boo$81bo4bobo$80boo67boobbo$80bobo5b
oboo56boo$87boo61booboobo$83boobboo63bobobbo$83boobboo62bob5o$79bo4boo
4boo58boob3o$78b4obb4o4bo17boobbo35boo$78bobb3o3b3o19boo39bobbo$80bo9b
o20booboobo23bo7booboboo$81b5obbo24bobobbo21boo6bo3boo3bo$85bo4boo20bo
b5o21bobobb4oboo5bo$86boo23boob3o25bob3o3bo5bobbo$111boo30bo4boo$111bo
bbo25boboboobobo7b4o$102bo7booboboo25b4obbo$101boo6bo3boo3bo25boobbo9b
5o$101bobobb4oboo5bo23bobo6bo9b3oboo$103bob3o3bo5bobbo22boo4boobbo7bob
obobo$104bo4boo42bobo4bo$101boboboobobo7b4o29bobobo4boo$103b4obbo43bob
obbooboob3o$105boobbo9b5o31b3oboobo6bo$103bobo6bo9b3oboo27boo3boobo3bo
b3o$104boo4boobbo7bobobobo27boo4bobo3bo$114bobo4bo38bobbobboo$112bobob
o4boo33boobbo6bo$114bobobbooboob3o28bo3bo3bo$116b3oboobo6bo26bo4boboo$
116boo3boobo3bob3o30bo$117boo4bobo3bo5boobbo21boo$121bobbobboo5boo5bo
20bo$117boobbo6bo6bobo3b4o17bo$117bo3bo3bo9boob4o$118bo4boboo8b3o4bobo
$124bo14bo$122boo15b5o$123bo5boobobboobboobbobbo$123bo4boo3bob3o4b4obo
$129bobbo3boo4boo$129bobbobboo3b3o$129bo9bo$120b3o14bo4bo$120bobb4obo
8bo4boo$121b3ob4obo$123b3obbobo6boobo4bo$137bo5boo$130bo3b3o6bobbo$
129boo3bo10bo$135bo8boo$141boo$140boo$142bobo$142boo3bo$142bo3boo$142b
o3bobo$142bo$146b5o$143booboobb3o$151bo$145bo3boboboo$146bo$147boboo!

It's such a coincidence that the minimum repeat time is 116, the same as one of the diagonal c/4 rakes.

Maybe another duplication convoy can be found which improves on this one.

BCNU,
-dbell

[dbell]

Here is an interesting reaction, so simple it might already be known.

Code: Select all

#C A diagonal c/4 period 4 convoy can turn a glider into a b-heptomino.
x = 34, y = 29
11bo$10boo$4bo5bobo$3boo$3bobo3boobobo$7bo7boo$6bo4bo5boo$6bobbobb6o3$
12boobboo$12bob4o$12bo4bobo$20bo$19b3o$$19bo$$19boobo$19boob4o$20bobb
4o$21boo8boo$31bobo$31bo3$3o$bbo$bo!

With an appropriate perturbation which can be repeated, this creates a nice mess.

Code: Select all

#C A series of b-heptominos created by an input glider.
#C This uses a convoy of diagonal c/4 spaceships.
#C David I. Bell, 17 January 2024
x = 284, y = 62
261boobo7b3o$261bo3bo6bo$261bo4bo7bo7boo$263boo7bobo4boobo$265bobo4b3o
bobboo$247boo22bo3boobboo$235b3o9bobo17boob4oboo$235bobb3o6bo9bo10b7o$
236bobo16boobo$241bo4boobbo3boobbo$239bo6boobboboobbo$210boobo7b3o17bo
boobo3b5o$210bo3bo6bo28boo$210bo4bo7bo7boo9bobb6o$212boo7bobo4boobo11b
7o$214bobo4b3obobboo15b3o$196boo22bo3boobboo$184b3o9bobo17boob4oboo$
184bobb3o6bo9bo10b7o$185bobo16boobo$190bo4boobbo3boobbo$188bo6boobbob
oobbo$159boobo7b3o17boboobo3b5o$159bo3bo6bo28boo$159bo4bo7bo7boo9bobb
6o$161boo7bobo4boobo11b7o$163bobo4b3obobboo15b3o$145boo22bo3boobboo$
133b3o9bobo17boob4oboo$133bobb3o6bo9bo10b7o$134bobo16boobo$139bo4boobb
o3boobbo$137bo6boobboboobbo$108boobo7b3o17boboobo3b5o$7b3o98bo3bo6bo
28boo$7bo100bo4bo7bo7boo9bobb6o$3o6bo100boo7bobo4boobo11b7o$o6bobo102b
obo4b3obobboo15b3o$bo4boob4o81boo22bo3boobboo$3b4ob5oboo66b3o9bobo17b
oob4oboo$4boo7boobo65bobb3o6bo9bo10b7o$83bobo16boobo$88bo4boobbo3boobb
o$10bobbo72bo6boobboboobbo$9b5obo41boobo7b3o17boboobo3b5o$9bo6bo40bo3b
o6bo28boo$10boboo3bo39bo4bo7bo7boo9bobb6o$18bo40boo7bobo4boobo11b7o$
15bobo43bobo4b3obobboo15b3o$43boo22bo3boobboo$16bobbo11b3o9bobo17boob
4oboo$16bobbo11bobb3o6bo9bo10b7o$17boboobo9bobo16boobo$17boobbobo13bo
4boobbo3boobbo$18bo5bo4bo5bo6boobboboobbo$18bo9boo7boboobo3b5o$23bo4bo
bo15boo$21bo16bobb6o$39b7o$3boo36b3o$4boo$3bo!

I tried to perturb the mess to clean it up to make a fanout device, but it's difficult. There isn't much room.

However, a different perturbation produced this.

Code: Select all

#C A diagonal c/4 glider duplicator for an input stream.
#C This accepts a stream of sideways gliders and turns them into
#C two output streams, shown here with a period 128 glider stream.
#C The same reaction works for any period of the form 88+4N when
#C the two trailing spaceships are shifted appropriately.
#C David I. Bell, 17 January 2024
x = 675, y = 111
571bo$570boo$564bo5bobo$563boo$563bobo3boobobo$567bo7boo$566bo4bo5boo$
566bobbobb6o3$572boobboo27boo$572bob4o26boo3bo$572bo4bobo26boboo$580bo
27b3o$579b3o26bo$610b3o$579bo23boobo4boo$603boboo3bobo$579boobo14boo4b
oboo3b3o$579boob4o10boo6bo5b3o$580bobb4o10bobo4boo4bobo$581boo8boo4b3o
4boobboo$591bobo3boo6bobo$591bo7bobo3boo3bo$605b4o$601bobo$3o61b3o61b
3o61b3o61b3o61b3o61b3o61b3o61b3o61b3o24b4o$bbo63bo63bo63bo63bo63bo63bo
63bo63bo63bo24b4o$bo63bo63bo63bo63bo63bo63bo63bo63bo63bo26boo6$603boo$
603b3o$603b3o$603bo$604bo3$601boo$601boo5$613bo$614bo$612b3o22$664boob
o$664bo3bo$633boo29bo4bo$633boo31boo$668bobo$$663bo6boo$662b5o4bobbo$
656boo4bo6boo$656bobo11bo$656bo5boboo6bobo$657boo4bo4bobo$657bobbo6b3o
$657bo6booboo$659bobobobbo$$661bo4bo$662b4o4$643b3o$643bobb3o$644bobo$
649bo$647bo$649bobo$642boobo6bo$641boo3bobbobbo$635b3o4bobbobbo3bo$
635bo6bobbobbo3bo$638bo3bo6bobo$635bobbo8boo$636bobbo6b3o$637bo5bo3bo$
639boboboobo$641boo$645bo$$642bobbo!

There are lots of perturbation possibilities for the b-heptomino and its debris. I think that a pure glider duplicator convoy not dependent on a regular input stream could be found.

BCNU,
-dbell

[dbell]

Here is an application of my new glider duplication convoy.

Code: Select all

#C A diagonal c/4 period 240 sideways rake.
#C This uses a period 80 puffer which is period tripled by a
#C period 24 spaceship, and whose debris is cleaned up using
#C perturbations, eating spaceships, and collisions by glider
#C duplication and turning convoys.
#C David I. Bell, 18 January 2024
x = 5377, y = 4610
69b3o$69bo3boo$72bo$69bo$66boobo3bobo$65boo4bobo$66bo3boo$66boboo$60bo
5bo$59boo5bo$59bob3obb3o$48b3ob3o3bobo5boo$48bobbob3ob4o5boo$51boo4bob
oo14bo$45b4o22bobob3o$45bo5bo17boobo5bo$38boo8boboboo14boob8o$25b3o9b
oo6bo5b3obo13bo3b4o$25bo13bobboobo3bobbo13b3o$3o15b3o6bo13boobbo5bobob
3o8bobbo$obb4obbo8bo6bobo13b3obboo5bo7boobbo3bo$b3ob4obo8bo4boob4o22bo
boo3boobboo$3b3obbobboboo6b4ob5oboo5boo12bo7booboo3bo$10bobbo8boo7boob
o3bobboboo4boobooboo3boobboo$12boobo21boobobo6boob4o4bo4boo20boo$15bo
22boo6boo3bo4b3o6boo7boboo8boo$15b3o24bobb3o9bo7bo6boobboo9bobo$17bo
12bo7bobo11bo5bo11boo4booboo6boobo$17b3o4boo5boo4b6obboo22bo3boo13boob
o$19b6oboo5bo3bo6bobo5bo5boo8bo4bo5b3obboo3bobo$20boobboobobobbo3boo5b
o6b4o3bo4bo5bo5b8obboo$22boobboobo3boboo3bobo3b4obobbob5o9bo7boobobboo
$22boobb3ob5o3bobo11b3obbo4boo10bo3boo6bo$21boo9bobboo7b4o11bobobboobb
3obobboboo4bobo$13boo6bobbobo5bo3boo3boo3boo4bobboboboo3b3o3bobo9bobb
oo$13bobo4bo4bo13bo12bob3o4b3obbo9booboboobbo$13bo5boo10b3obo3boo15bo
bbo5bobo8bo3bobbo3bobo$16bo3boo10bobobboboo15bobobboobbobo12bo4bo3bo$
16boobboob3o6boboobboo27bo6b3obbo4bo$19b3obboo7boobbo23b3o5bobo5bobo4b
obbo$15bobob3o13bo24boobbo4b4obo4bo$15bobo3bo18bobo19bobo5bo$14bo6bob
oo16boo$13booboo3bo3bo15bo$12boobo4boo3bo$13bo4bo3b5o17bobo27boo$13bo
4bo6b3o17boo27bobo$25b3o17bo28bo$14b3o8boo50bo$15boo8boo21bobo26boo3bo
$14b3o32boo26boobbobo5boo$15boo8bo23bo28boboobbo4bobo$21booboo52boobob
3o3bobo$20boo3bo26bobo23bobo3boo4b3o$22boboo27boo23bo5bo5bobo$27bo25bo
10b3o17boo4b3o$64bo12boo11boo$26b3o27bobo6bo10boboo11bo$20boobboo31boo
8b3o5bo4bo4bo4b3o$20boboboobo29bo10b6oboo3bo3b5o6bo$20bo3bo46bo4bo7bo
6booboo$60bobo7bobo4boo$24bo36boo6b3o12boboo$26bo34bo6bo16bo$23boo28b
oo14bobo6bo15boo$22bo30bobo8bobo3b5obb5obboobo6bobo$21bobbobo26bo11boo
4boobobbobboobb4o6bo$22boboo31b3o5bo13bobo3boobbooboo$21bo33boob4o18bo
11bo$20b3o32b3o4bo7boo5bobbob3o3bo$51b3o5boobo6boo9bobboobbo4bo5bo$20b
oobbo26bobbo4b3o7bo8b3obbo3bo9boo$22bo22b3o4boboobooboo17bobobob3oboo
6bob5o$41boobbo9booboboobb3o11boo3b4o3bobboo5bo4bo$40boo4bo8boo5bo14bo
3bo3bo7bobbobbo5bo$41bobo4boob3o3bo3bo14bo3bo4bo6bobboo10bo$41b3o5boob
oobo3bobbo15boo4bo9bo6booboobbo$41boo10bo5boo24bo14boobboo3bo$43bobo5b
oboo4bo42bobo$46bobo4boobbobbo43bobbobo130b3o$45boo4b3obbo3bo43boo3bo
130bo3boo$44boboboobobo3bo47b3o135bo$48bobbo7boo44bo134bo$43boo13b3o
11bobo32bo129boobo3bobo$42b3obbo6boobb3o11b4o31bo128boo4bobo$45boobo5b
obo6boo7boobbo160bo3boo$42bo3boboobobo6boboo8bobbo161boboo$43bo7bo10bo
9b3o156bo5bo$44boo7bo5bobboo9bo156boo5bo$44bo4b4o5bo4bo166bob3obb3o$
42b3o3booboo5bobb4o154b3ob3o3bobo5boo$42bo8boo5bobo3bo154bobbob3ob4o5b
oo$42bobo7boboo8boo156boo4boboo14bo$38boo4bo5boobboo7boo151b4o22bobob
3o$37boo5bobo3bobboo9bo12bo138bo5bo17boobo5bo$39bo4b3obbobbobo9b3o10b
3o5boo122boo8boboboo14boob8o$41boo6boo3bo3b3obbo3bo9bobo116b3o9boo6bo
5b3obo13bo3b4o$41boo7bobo5bo3bo15boobbobbo110bo13bobboobo3bobbo13b3o$
50bo3bo4bo17bobo4bo86b3o15b3o6bo13boobbo5bobob3o8bobbo$49boobobo7boob
oo11boo4bo86bobb4obbo8bo6bobo13b3obboo5bo7boobbo3bo$46b3oboo11bo108b3o
b4obo8bo4boob4o22boboo3boobboo$45bo4bobbobo6boo110b3obbobboboo6b4ob5ob
oo5boo12bo7booboo3bo$44boobobobbobo8boo15b3o98bobbo8boo7boobo3bobboboo
4boobooboo3boobboo$43bo3bo3boo11bo15boboo99boobo21boobobo6boob4o4bo4b
oo20boo$43bobo6bobobb3o4b3o14b3o11boo89bo22boo6boo3bo4b3o6boo7boboo8b
oo$46bobobo3bobbo5bo17boo12boo89b3o24bobb3o9bo7bo6boobboo9bobo$42boob
oo4boo5bo4bo16boo106bo12bo7bobo11bo5bo11boo4booboo6boobo$42boo3bo3boo
7boo18bo11boo94b3o4boo5boo4b6obboo22bo3boo13boobo$43booboobbobobo6bo
29bobbo95b6oboo5bo3bo6bobo5bo5boo8bo4bo5b3obboo3bobo$43boo5bobobo6bo
29bobo41bo55boobboobobobbo3boo5bo6b4o3bo4bo5bo5b8obboo$43boobo5bo39bo
41boo57boobboobo3boboo3bobo3b4obobbob5o9bo7boobobboo$46bo5b3o48boo29bo
bo56boobb3ob5o3bobo11b3obbo4boo10bo3boo6bo$41bo4bo5bo45b4o4b3o27bo55b
oo9bobboo7b4o11bobobboobb3obobboboo4bobo$40boo3boo5boo43b6obbobo29bo
46boo6bobbobo5bo3boo3boo3boo4bobboboboo3b3o3bobo9bobboo$40bobo3b5o45bo
3bobobbo28boboo46bobo4bo4bo13bo12bob3o4b3obbo9booboboobbo$44boo3boo46b
o4b3obo4boo22bo48bo5boo10b3obo3boo15bobbo5bobo8bo3bobbo3bobo$43bo6bo
55bo3bobbo73bo3boo10bobobboboo15bobobboobbobo12bo4bo3bo$50boo50b3obo4b
obo22boobo47boobboob3o6boboobboo27bo6b3obbo4bo$43bo4b3obbo58bo16b3o3b
oo3bo49b3obboo7boobbo23b3o5bobo5bobo4bobbo$29b3o11bobbobbo79bobb5o4bo
44bobob3o13bo24boobbo4b4obo4bo$29bo13bobbo4bobobo74booboo3boo46bobo3bo
18bobo19bobo5bo$30bo12bobo9bo73b3o53bo6boboo16boo$32boo10bo3b3o133boob
oo3bo3bo15bo$33bo11boo3b3o40boo45bo42boobo4boo3bo$42b6obb3o38boobbo26b
3o4booboo5boo43bo4bo3b5o17bobo$30boo3bo5boobbobbobbo39bo3bo26bobb3obb
oo7bobo42bo4bo6b3o17boo27b3o$22b3o5boobbobo4bo6boboo72bo10bo60b3o17bo
28bo$22bo6bobo3bobb3o3bo47bo3bo26boo5bo3b5o46b3o8boo48bo$23bo4boo6b3o
4bo6boobo39b3o12bo14boobboo4boboo49boo8boo21bobo26boo$25b4obo19boo49b
oo4bobobboo9boo3bo5booboo46b3o32boo27bo3boo$26boo10bo11b3obo27b3o14bob
oo3bobbobboo10bo3bo3b3o7b3o41boo8bo23bo31boo$38bobo10bobbo27bo13boobob
oo3bobo17b3ob3obo7bo49booboo58boo$48boobbobboo28bo8boobo7bo18b3obbo6bo
boo5b5o41boo3bo26bobo23b6o$48boo4boobboo22bobbo8bobo9boo16boo10boboo5b
oob3o42boboo27boo23bobboobo$46boboobb3obbo25bobbo8bo34boo8b3obboo3bo
47bo25bo11boo13bo4bo$45b3o4boo4bo25bo44bo8boo6bo3b4o82bobo10bo6bo$45bo
bo9bobo26bobo41boo9boo3bobbobboo43b3o27bobo6bo11bo$57bo30boo56bobo3boo
37boobboo31boo9bo7boo3bo$50b3o36bo60bob3o36boboboobo29bo10boobboobobb
3o$50bo6bobo28boo60bo40bo3bo47bo5bo$51bobb3o30b3o60b4o77bobo9bobo3bo$
53bobbo25boobooboo105bo36boo7boboo3bo$56bo25bo3boboo61b3o43bo34bo7boob
oo$45b3o34bob3obbo104boo29boo13bobbo$45bo9bo31boo104bo31bobo7bobo4bobo
$46bobb6o31b3o103bobbobo27bo10boo4bobboo$48bo61bo82boboo31bo7bo199bo$
49boo58bobo80bo35boo3bo7bo193boo$85b3o21bobo79b3o34boobbobo194bo5bobo$
85b3o25bo18boo95boboobbo4boo186boo$107b3o4bo17boo57boobbo33boobob3o3b
oo186bobo3boobobo$84boo11b3o6bo7bo78bo35bobo3boo3boo190bo7boo$84bo12bo
8booboo3bo114bo5bo195bo4bo5boo$98bo8bobo4bo100b3o17boo194bobbobb6o$
100boo7bob3o101bo12boo$101bo10bo103bo10boboo16boo$108b3o107b3o5bo4bo
14bobo188boobboo27boo$98bo10bobo107b6oboo3bo14boo189bob4o26boo3bo$95b
4obo8boo111bo4bo209bo4bobo26boboo$95bo4bo9boo109bobo4boo215bo27b3o$96b
o4boo7boo108b3o221b3o26bo$98bobb3o5bo109bo33boo220b3o$102boo4boobbo
107bobo29bobo189bo23boobo4boo$99booboo7boo108b5o26boo214boboo3bobo$
100boboo3bobbo111boobo218boobo14boo4boboo3b3o$100bobo6boo333boob4o10b
oo6bo5b3o$101boo342bobb4o10bobo4boo4bobo$134b3o37b3o37b3o37b3obboo185b
oo8boo4b3o4boobboo$136bo39bo39bo39b3obo195bobo3boo6bobo$135bo16boo21bo
39bo39bob3o196bo7bobo3boo3bo$152boo316b4o$144bo321bobo$143boo192b3o
128b4o$143bob5obo113boo72bo113b3o12b4o$146bo3b4o110bobo71bo114bobo3boo
8boo$145bo3bo114boo187bo3boobbo$144b3o166bo136boo3b5obo$145bob4o161boo
135bo5bo4bo$138bo5boo3bobo93b3o64bobo134bo$137b5oboobob3obb3o89bo25boo
41bo135bobbo$137bo8b3o5boo83b3o6bo21bobo42bo135boo$145boobbo89bo6bobbo
20boo40boboo$137boboob5obboboo87bo6boboo62bo$129booboo4bo5boobboo92boo
3boboo$129bob3o109bo3bobo64boobo$129bobboo3boo7boo3boo94boboo26boo28b
3o3boo3bo$136boo8boo4bo84b3o3boo6bo25boo28bobb5o4bo$133bo3boo9bo3b3o
82bobboobbob3obo57booboo3boo$133bo3b3o3boobbo4bobo83bobbobboobo59b3o$
137bo5bo8bo87boobooboobo$138boo3bobo9bo90bobbo68bo$150bobb3o89boobbo
33boo15b3o4booboo5boo$149b5o128bobo15bobb3obboo7bobo$149bobbo129boo18b
o10bo$151boo148boo5bo3b5o$152bobboo144boobboo4boboo$149bo4boo145boo3bo
5booboo$150boboboo133boo11bo3bo3b3o7b3o$152boobobbo129bobo13b3ob3obo7b
o$153bo4bo129boo12b3obbo6boboo5b5o$158bo144boo9boboo5boob3o$153bobo4b
3o145boo8b3obboo3bo$155boobo148bo8boo6bo3b4o$158bo149boo9boo3bobbobboo
$292boo30bobo3boo$292boo34bob3o$328bo$328b4o$$329b3o$300boo$300boo4$
307boo$306bobo$306boo6$502boo$502boo$315boo$314bobo$315bo7$306bo14boo$
296b3o8boo12boo$296bo9boo$297bo$299boo$300bo3boo25boo$303boo25bobo$
306boo22boo$300b6o$300bobboobo$287boo13bo4bo$287bobo10bo6bo29boo$287bo
11bo37boo$290bo7boo3bo$290boobboobobb3o$294bo5bo5boobbo$294bobo3bo4boo
5bo$292boboo3bo6bobo3b4o27boo$291booboo10boob4o29bobo$291bobbo11b3o4bo
bo26boo$293bobo14bo$293bobboo12b5o$300boobobboobboobbobbo$299boo3bob3o
4b4obo30boo$300bobbo3boo4boo33bobo$300bobbobboo3b3o34boo$300bo9bo$291b
3o14bo4bo$291bobb4obo8bo4boo$292b3ob4obo$294b3obbobo6boobo4bo35boo$
308bo5boo36boo196bo$301bo3b3o6bobbo233bo$300boo3bo10bo232b3o$306bo8boo
$312boo$311boo47boo$313bobo44boo$313boo3bo$313bo3boo266boobo59boo$313b
o3bobo265bo3bo57boo$313bo53boo216bo4bo50boo5bo$317b5o44bobo218boo51boo
5boo$314booboobb3o42boo221bobo50bo4bobobboo$322bo321boo3boob4o$316bo3b
oboboo258bo6boo51boo10bo$317bo265b5o4bobbo60bo$318boboo255boo4bo6boo
58bo$577bobo11bo58bo3bo28bo$562boo13bo5boboo6bobo53booboo28b5o$562boo
14boo4bo4bobo57bo3boboo25bobboo$375boo201bobbo6b3o59boob4o27boobo$374b
obo201bo6booboo65boobbo$375bo204bobobobbo68boobo27bobo$657bo$582bo4bo
69boo21b3o6b3o$583b4o70b3o15bo4bobb3o4b3o$657boobbo12boo5boob5ob3o$
661bobo10bobo3b3o4booboo$658bo3bobo21bobo$381boo181b3o91b6o4b3o5b3o6bo
bbo$381boo181bobb3o90b3o5bo6b3o7bo$565bobo101bo7bobob4obbo$570bo108boo
boo$568bo110b6o$391boo177bobo$390bobo170boobo6bo91b3obbobo$390boo170b
oo3bobbobbo90bobbobbobbo$556b3o4bobbobbo3bo93boobobbo$556bo6bobbobbo3b
o87boo9bo$559bo3bo6bobo88bob4o$397boo157bobbo8boo92bo$397boo158bobbo6b
3o$558bo5bo3bo$560boboboobo$562boo$566bo$403boo$402bobo158bobbo$402boo
4$409boo$408bobo$408boo5$412boo$412boo5$420boo$420boo4$427boo$426bobo$
426boo8$435boo$434bobo$435bo$$714boo$714boo4$441boo$441boo4$451boo$
450bobo$450boo4$457boo$457boo5$463boo$462bobo$462boo4$469boo$468bobo$
468boo5$472boo$472boo108bo$581bo$581b3o3$480boo$480boo280bo$760bobo$
761boo$$487boo$486bobo$486boo$$979bo$797b3o178boo$797bobb3o169bo5bobo$
798bobo170boo$803bo167bobo3boobobo$801bo173bo7boo$495boo306bobo168bo4b
o5boo$494bobo299boobo6bo167bobbobb6o$495bo299boo3bobbobbo$789b3o4bobbo
bbo3bo$774boo13bo6bobbobbo3bo173boobboo27boo$774boo16bo3bo6bobo174bob
4o26boo3bo$789bobbo8boo177bo4bobo26boboo$790bobbo6b3o185bo27b3o$791bo
5bo3bo185b3o26bo$501boo290boboboobo217b3o$501boo292boo190bo23boobo4boo
$799bo211boboo3bobo$987boobo14boo4boboo3b3o$796bobbo187boob4o10boo6bo
5b3o$511boo475bobb4o10bobo4boo4bobo$510bobo264boobo208boo8boo4b3o4boo
bboo$510boo265bo3bo217bobo3boo6bobo$777bo4bo216bo7bobo3boo3bo$779boo
232b4o$781bobo225bobo$517boo361b3o128b4o$517boo257bo6boo97bo113b3o12b
4o$775b5o4bobbo93bo114bobo3boo8boo$769boo4bo6boo212bo3boobbo$769bobo
11bo209boo3b5obo$769bo5boboo6bobo204bo5bo4bo$523boo245boo4bo4bobo208bo
$522bobo245bobbo6b3o210bobbo$522boo246bo6booboo212boo$772bobobobbo$$
774bo4bo$529boo244b4o$528bobo$528boo5$532boo$532boo3$842boobo7b3o$842b
o3bo6bo$540boo300bo4bo7bo7boo$540boo302boo7bobo4boobo$781b3o62bobo4b3o
bobboo$781bo70bo3boobboo$784bo63boob4oboo$547boo232bobbo64b7o$546bobo
233bobbo$546boo235bo$785bobo$787boo$788bo95bo$787boo52b3o39boo$786b3o
54bo39bobo$781boobooboo53bo$781bo3boboo97boo$555boo224bob3obbo97boobb
3o$554bobo229boo102boobo$555bo229b3o100bo4bo$887b3o4bo$887bo5bo$784b3o
87boo12bobobboo$784b3o86boo$875bo9b3o$783boo92boo6booboo$561boo220bo
93boobboobbob3o$561boo317boobobboo$881bo4boo157boo$878boo3bo161boo$
837boo39boo$571boo264bobo38bo$570bobo264bo41booboo$570boo268bo40bobo$
840boo3bo20boo$840boobbobo19bobo$841boboobbo18bo$577boo262boobob3o20bo
$577boo262bobo3boo20boo3bo$841bo5bo21boobbobo$827b3o17boo21boboobbo$
827bo12boo28boobob3o$828bo10boboo27bobo3boo$583boo245b3o5bo4bo26bo5bo$
582bobo246b6oboo3bo12b3o17boo$582boo250bo4bo16bo12boo$833bobo4boo15bo
10boboo$816bo15b3o24b3o5bo4bo$815boo14bo28b6oboo3bo$815bobo14bobo28bo
4bo$588boo243b5o24bobo4boo$588boo228boo14boobo23b3o$818boobb3o35bo$
822boobo35bobo$820bo4bo36b5o$819b3o4bo36boobo$592boo225bo5bo$592boo
212boo12bobobboo$805boo$807bo9b3o$809boo6booboo$809boobboobbob3o$600b
oo210boobobboo$600boo211bo4boo$810boo3bo$810boo$810bo$607boo202booboo$
606bobo204bobo$606boo$1093bo$1094bo$1092b3o5$615boo$614bobo511boobo65b
oo$615bo512bo3bo63boo$1128bo4bo56boo5bo$1130boo57boo5boo$1132bobo56bo
4bobobboo$1193boo3boob4o$1127bo6boo57boo10bo$1126b5o4bobbo66bo$621boo
497boo4bo6boo64bo$621boo497bobo11bo64bo3bo28bo$1105boo13bo5boboo6bobo
59booboo28b5o$1105boo14boo4bo4bobo63bo3boboo25bobboo$1121bobbo6b3o65b
oob4o27boobo$631boo488bo6booboo71boobbo$630bobo490bobobobbo74boobo27bo
bo$630boo574bo$1125bo4bo75boo21b3o6b3o$1126b4o76b3o15bo4bobb3o4b3o$
1206boobbo12boo5boob5ob3o$637boo571bobo10bobo3b3o4booboo$637boo568bo3b
obo21bobo$1107b3o97b6o4b3o5b3o6bobbo$1107bobb3o96b3o5bo6b3o7bo$1108bob
o107bo7bobob4obbo$1113bo114booboo$643boo466bo97bobb3o13b6o$642bobo468b
obo92bobbobbo$642boo462boobo6bo91b3ob3o$1105boo3bobbobbo$1099b3o4bobbo
bbo3bo$1099bo6bobbobbo3bo$1102bo3bo6bobo$648boo449bobbo8boo$648boo450b
obbo6b3o$1101bo5bo3bo$1103boboboobo$1105boo$1109bo$652boo$652boo452bo
bbo3$851bo$851bobo$660boo189boo$660boo4$667boo$666bobo$666boo8$675boo$
674bobo$675bo7$681boo$681boo4$691boo567boo$690bobo567boo$690boo4$697b
oo$697boo5$703boo$702bobo$702boo5$708boo$708boo5$712boo$712boo5$720boo
$720boo4$727boo$726bobo$726boo$1125bo179bo$1124bo178bobo$1124b3o177boo
5$735boo$734bobo$735bo5$1516bo$1346b3o166boo$741boo603bobb3o157bo5bobo
$741boo604bobo158boo$1352bo155bobo3boobobo$1350bo161bo7boo$1352bobo
156bo4bo5boo$751boo567boo23boobo6bo155bobbobb6o$750bobo567boo22boo3bo
bbobbo$750boo586b3o4bobbobbo3bo$1338bo6bobbobbo3bo161boobboo27boo$
1341bo3bo6bobo162bob4o26boo3bo$1338bobbo8boo165bo4bobo26boboo$757boo
580bobbo6b3o173bo27b3o$757boo581bo5bo3bo173b3o26bo$1342boboboobo205b3o
$1344boo178bo23boobo4boo$1348bo199boboo3bobo$1524boobo14boo4boboo3b3o$
763boo580bobbo175boob4o10boo6bo5b3o$762bobo760bobb4o10bobo4boo4bobo$
762boo562boobo196boo8boo4b3o4boobboo$1326bo3bo205bobo3boo6bobo$1326bo
4bo204bo7bobo3boo3bo$1328boo220b4o$1330bobo203bo9bobo$768boo653b3o122b
4o$768boo555bo6boo91bo108bo3bo9b4o$1324b5o4bobbo87bo108bo3b3o9boo$
1318boo4bo6boo200bobobbobo$1318bobo11bo201bo3bobbo$1318bo5boboo6bobo
204bo$772boo545boo4bo4bobo204bo$772boo545bobbo6b3o200boo3bobbo$1319bo
6booboo200boboo3bo$1321bobobobbo201boobo$851bo679bobo$851bobo469bo4bo
202boobo$780boo69boo471b4o205b3o$780boo751boo4$787boo$786bobo$786boo8$
795boo$794bobo$795bo7$801boo$801boo4$811boo$810bobo$810boo4$817boo$
817boo5$823boo$822bobo760boo$822boo761boo5$828boo$828boo5$832boo$832b
oo5$840boo$840boo4$847boo$846bobo$846boo$1125bo217bo$1124bo218bobo$
1124b3o216boo5$855boo$854bobo327boo$855bo316b3o9bobo$1172bobb3o6bo9bo$
1173bobo16boobo$1112boo64bo4boobbo3boobbo$1112bobo61bo6boobboboobbo$
1112bo65boboobo3b5o$1113boo72boo$861boo250bobbo62bobb6o$861boo250bo66b
7o$1115bobo64b3o$1119bo516bo$1117bobbo516bo$1117bobbo93boo419b3o$1119b
3o91boo449b3o$872b3o240b3ob3o93bo448bobb3o$1111b3oboobb3o95boo446bobo$
1111bo7boo95bo5bo447bo$1112bo6boo99boobo444bo$1115b5o101bo3bo444bobo$
1117boo98boobb3o439boobo6bo$1116boo99boobo441boo3bobbobbo$1116boo87bo
13bo3bo432b3o4bobbobbo3bo$1115bobo86boo11boo5boo430bo6bobbobbo3bo$
1114boo88bobo10b3o439bo3bo6bobo$883boo229bobo91bo7boboo436bobbo8boo$
882bobo228bo93bo3booboobobbo424boo10bobbo6b3o$882boo230boo91bo3boob3o
428boo11bo5bo3bo$1213boboo443boboboobo$1209bobbo4bo444boo$1209b3o454bo
$1167b3o38bobbo$888boo277bo41bobobo449bobbo$888boo278bo45bo$1170boo38b
o3bo429b3o$1171bo3boo19b3o445bobb3o$1174boo20bo448bobo$1177boo18bo452b
o$892boo277b6o22boo447bo$892boo277bobboobo22bo3boo444bobo$1158boo13bo
4bo24boo438boobo6bo$1158bobo10bo6bo27boo434boo3bobbobbo$1158bo11bo29b
6o430b3o4bobbobbo3bo$1161bo7boo3bo25bobboobo429bo6bobbobbo3bo$900boo
259boobboobobb3o13boo13bo4bo431bo3bo6bobo$900boo263bo5bo15bobo10bo6bo
428bobbo8boo$1165bobo3bo15bo11bo437bobbo6b3o$1163boboo3bo19bo7boo3bo
434bo5bo3bo$1146boo14booboo23boobboobobb3o437boboboobo$907boo236boo15b
obbo16bo11bo5bo441boo$906bobo238bo16bobo14bo12bobo3bo445bo$906boo241b
oo13bobboo12b3o8boboo3bo$1148bo5bo36booboo447bobbo$1152boobo35bobbo
444bo$1153bo3bo35bobo442boo$1149boobb3o37bobboo440bobo$1149boobo$1137b
o13bo3bo485boo$1136boo11boo5boo483boo$915boo219bobo10b3o$914bobo223bo
7boboo485boboo$915bo223bo3booboobobbo483b4o$1139bo3boob3o487bo3boo4boo
$1145boboo492bobb3obo$1141bobbo4bo498bo$1141b3o496boo4bo$1140bobbo496b
oo4b3o$1141bobobo495bo3bobbo$921boo223bo494bo5b3o$921boo219bo3bo495boo
3b4o$1650b5o$1652b3oboo$1649boobbo3bo$1657boo$1654booboo$932b3o721b3o$
1655bobo$1656bo4$1657boo$1657bobo$1657bo$$943boo$942bobo$942boo710boo$
1653boo3bo$1655boboo$1657b3o$1657bo$948boo709b3o15boo$948boo702boobo4b
oo9boo4boo$1652boboo3bobo9boo$1646boo4boboo3b3o9b3o$1645boo6bo5b3o$
1646bobo4boo4bobo$952boo692b3o4boobboo$952boo692boo6bobo$1648bobo3boo
3bo$1654b4o$1650bobo$1652b4o29bo$960boo690b4o30bo$960boo691boo29b3o4$
967boo$966bobo$966boo$1343bo$1343bobo$1343boo5$975boo$974bobo$975bo7$
981boo$981boo6$992b3o10$1003boo$1002bobo$1002boo5$1008boo727boo$1008b
oo727boo5$1012boo$1012boo5$1020boo$1020boo4$1027boo153bo$1026bobo152bo
$1026boo153b3o8$1035boo$1034bobo$1035bo981bo$1791b3o222boo$1791bobb3o
213bo5bobo$1792bobo214boo$1797bo211bobo3boobobo$1795bo217bo7boo$1797bo
bo212bo4bo5boo$1041boo747boobo6bo211bobbobb6o$1041boo746boo3bobbobbo$
1783b3o4bobbobbo3bo$1783bo6bobbobbo3bo217boobboo27boo$1786bo3bo6bobo
218bob4o26boo3bo$1783bobbo8boo221bo4bobo26boboo$1784bobbo6b3o229bo27b
3o$1052b3o730bo5bo3bo229b3o26bo$1787boboboobo261b3o$1789boo234bo23boob
o4boo$1793bo255boboo3bobo$2025boobo14boo4boboo3b3o$1790bobbo231boob4o
10boo6bo5b3o$2026bobb4o10bobo4boo4bobo$1771boobo252boo8boo4b3o4boobboo
$1771bo3bo261bobo3boo6bobo$1771bo4bo260bo7bobo3boo3bo$1063boo708boo
276b4o$1062bobo710bobo259bo9bobo$1062boo740b3o117b3o122b4o$1770bo6boo
27bo119bo108bo3bo9b4o$1769b5o4bobbo23bo119bo108bo3b3o9boo$1763boo4bo6b
oo256bobobbobo$1763bobo11bo257bo3bobbo$1068boo693bo5boboo6bobo260bo$
1068boo694boo4bo4bobo260bo$1764bobbo6b3o256boo3bobbo$1764bo6booboo256b
oboo3bo$1766bobobobbo257boobo$2032bobo$1072boo694bo4bo258boobo$1072boo
695b4o261b3o$2034boo3$1788bo$1080boo706bobo$1080boo706boo4$1087boo$
1086bobo$1086boo$1343bo$1343bobo$1343boo5$1095boo$1094bobo$1095bo7$
1101boo$1101boo6$1112b3o6$2086boo$2086boo3$1123boo$1122bobo$1122boo5$
1128boo$1128boo5$1132boo$1132boo5$1140boo$1140boo4$1147boo33bo$1146bob
o32bo$1146boo33b3o8$1155boo$1154bobo$1155bo5$2137bo$2138bo$1161boo973b
3o$1161boo1002b3o$2165bobb3o$2166bobo$2171bo$2169bo$2171bobo$1172b3o
989boobo6bo$2163boo3bobbobbo$2157b3o4bobbobbo3bo$2157bo6bobbobbo3bo$
2160bo3bo6bobo$2157bobbo8boo$2146boo10bobbo6b3o$2146boo11bo5bo3bo$
2161boboboobo$2163boo$1183boo982bo$1182bobo$1182boo980bobbo$$2145b3o$
2145bobb3o$2146bobo$1188boo961bo$1188boo959bo$2151bobo$2144boobo6bo$
2143boo3bobbobbo$2137b3o4bobbobbo3bo$1192boo943bo6bobbobbo3bo$1192boo
946bo3bo6bobo$2137bobbo8boo$2138bobbo6b3o$2139bo5bo3bo$1788bo352bobob
oobo$1200boo586bobo352boo$1200boo586boo357bo$$2144bobbo$2140bo$1207boo
930boo$1206bobo930bobo$1206boo$1343bo798boo$1343bobo796boo$1343boo$
2138boboo$2137b4o$2137bo3boo4boo$2142bobb3obo$1215boo932bo$1214bobo
924boo4bo$1215bo925boo4b3o$2142bo3bobbo$2142bo5b3o$2143boo3b4o$2151b5o
$2153b3oboo$2150boobbo3bo$2158boo$2155booboo$2157b3o$2156bobo$2157bo3$
1232b3o$2158boo$2158bobo$2158bo4$2155boo$2154boo3bo$2156boboo$1243boo
913b3o$1242bobo913bo$1242boo916b3o15boo$2153boobo4boo9boo4boo$2153bob
oo3bobo9boo$2147boo4boboo3b3o9b3o$2146boo6bo5b3o$1248boo897bobo4boo4bo
bo$1248boo897b3o4boobboo$2147boo6bobo$2149bobo3boo3bo$2155b4o$2151bobo
$1252boo899b4o29bo$1252boo899b4o30bo$2154boo29b3o4$1260boo$1260boo4$
1267boo$1266bobo$1266boo8$1275boo$1274bobo$1275bo14$1292b3o10$1303boo$
1302bobo$1302boo934boo$2238boo4$1308boo$1308boo5$1312boo$1312boo4$
1788bo$1320boo466bobo$1320boo466boo4$1327boo$1326bobo$1326boo$1343bo$
1343bobo$1343boo$$2518bo$2292b3o222boo$2292bobb3o213bo5bobo$1335boo
956bobo214boo$1334bobo961bo211bobo3boobobo$1335bo960bo217bo7boo$2298bo
bo212bo4bo5boo$2291boobo6bo211bobbobb6o$2290boo3bobbobbo$2284b3o4bobbo
bbo3bo$2284bo6bobbobbo3bo217boobboo27boo$2287bo3bo6bobo218bob4o26boo3b
o$2284bobbo8boo221bo4bobo26boboo$2285bobbo6b3o229bo27b3o$2286bo5bo3bo
229b3o26bo$2288boboboobo261b3o$2290boo234bo23boobo4boo$2294bo255boboo
3bobo$2526boobo14boo4boboo3b3o$1352b3o936bobbo231boob4o10boo6bo5b3o$
2527bobb4o10bobo4boo4bobo$2272boobo252boo8boo4b3o4boobboo$2272bo3bo
261bobo3boo6bobo$2272bo4bo260bo7bobo3boo3bo$2274boo276b4o$2276bobo259b
o9bobo$2305b3o117b3o122b4o$2271bo6boo27bo119bo108bo3bo9b4o$2270b5o4bo
bbo23bo119bo108bo3b3o9boo$1363boo899boo4bo6boo256bobobbobo$1362bobo
899bobo11bo257bo3bobbo$1362boo900bo5boboo6bobo260bo$2265boo4bo4bobo
260bo$2265bobbo6b3o256boo3bobbo$2265bo6booboo256boboo3bo$2267bobobobbo
257boobo$1368boo1163bobo$1368boo899bo4bo258boobo$2270b4o261b3o$2535boo
3$1372boo915bo$1372boo915bobo$2289boo4$1380boo$1380boo4$1387boo$1386bo
bo$1386boo8$1395bo$1395bo$1395bo14$1412b3o$2587boo$2587boo8$1423boo$
1422bobo$1422boo5$1428boo$1428boo5$1432boo$1432boo4$1788bo$1440boo346b
obo$1440boo346boo4$1447boo$1446bobo$1446boo8$1455bo$1455bo$1455bo1182b
o$2639bo$2637b3o$2666b3o$2666bobb3o$2667bobo$2672bo$2670bo$2672bobo$
2665boobo6bo$2664boo3bobbobbo$2658b3o4bobbobbo3bo$2658bo6bobbobbo3bo$
2661bo3bo6bobo$1472b3o1183bobbo8boo$2647boo10bobbo6b3o$2647boo11bo5bo
3bo$2662boboboobo$2664boo$2668bo$$2665bobbo$$2646b3o$1483boo1161bobb3o
$1482bobo1162bobo$1482boo1168bo$2650bo$2652bobo$2645boobo6bo$2644boo3b
obbobbo$1488boo1148b3o4bobbobbo3bo$1488boo1148bo6bobbobbo3bo$2641bo3bo
6bobo$2638bobbo8boo$2639bobbo6b3o$2640bo5bo3bo$1492boo795bo352boboboob
o$1492boo795bobo352boo$2289boo357bo$$2645bobbo$2641bo$1500boo1138boo$
1500boo1138bobo$$2643boo$2643boo$1507boo$1506bobo1130boboo$1506boo
1130b4o$2638bo3boo4boo$2643bobb3obo$2650bo$2642boo4bo$2642boo4b3o$
2643bo3bobbo$2643bo5b3o$1515bo1128boo3b4o$1515bo1136b5o$1515bo1138b3ob
oo$2651boobbo3bo$2659boo$2656booboo$2658b3o$2657bobo$2658bo4$2659boo$
2659bobo$2659bo$$1532b3o$$2656boo$2655boo3bo$2657boboo$2659b3o$2659bo$
2661b3o15boo$2654boobo4boo9boo4boo$2654boboo3bobo9boo$1543boo1103boo4b
oboo3b3o9b3o$1542bobo1102boo6bo5b3o$1542boo1104bobo4boo4bobo$2648b3o4b
oobboo$2648boo6bobo$2650bobo3boo3bo$2656b4o$1548boo1102bobo$1548boo
1104b4o29bo$2654b4o30bo$2655boo29b3o3$1552boo$1552boo4$1788bo$1560boo
226bobo$1560boo226boo4$1567boo$1566bobo$1566boo8$1575bo$1575bo$1575bo
14$1592b3o7$2739boo$2739boo$$1603boo$1602bobo$1602boo5$1608boo$1608boo
5$1612boo675bo$1612boo675bobo$2289boo4$1620boo$1620boo4$1627boo$1626bo
bo$1626boo1271bo$2793b3o102boo$2793bobb3o93bo5bobo$2794bobo94boo$2799b
o91bobo3boobobo$2797bo97bo7boo$2799bobo92bo4bo5boo$2792boobo6bo91bobbo
bb6o$1635bo1155boo3bobbobbo$1635bo1149b3o4bobbobbo3bo$1635bo1149bo6bo
bbobbo3bo97boobboo27boo$2788bo3bo6bobo98bob4o26boo3bo$2785bobbo8boo
101bo4bobo26boboo$2786bobbo6b3o109bo27b3o$2787bo5bo3bo109b3o26bo$2789b
oboboobo141b3o$2791boo114bo23boobo4boo$2795bo135boboo3bobo$2907boobo
14boo4boboo3b3o$2792bobbo111boob4o10boo6bo5b3o$2908bobb4o10bobo4boo4bo
bo$2773boobo132boo8boo4b3o4boobboo$2773bo3bo141bobo3boo6bobo$2773bo4bo
140bo7bobo3boo3bo$1652b3o1120boo156b4o$2777bobo139bo9bobo$2806b3o122b
4o$2772bo6boo27bo108bo3bo9b4o$2771b5o4bobbo23bo108bo3b3o9boo$2765boo4b
o6boo136bobobbobo$2765bobo11bo137bo3bobbo$2765bo5boboo6bobo140bo$2766b
oo4bo4bobo140bo$2766bobbo6b3o136boo3bobbo$1663boo1101bo6booboo136boboo
3bo$1662bobo1103bobobobbo137boobo$1662boo1250bobo$2770bo4bo138boobo$
2771b4o141b3o$2916boo$$1668boo$1668boo1120bo$2790bobo$2790boo3$1672boo
$1672boo4$1788bo$1680boo106bobo$1680boo106boo4$1687boo$1686bobo$1686b
oo8$1695bo$1695bo$1695bo10$2968boo$2968boo3$1712b3o10$1723boo$1722bobo
$1722boo5$1728boo$1728boo5$1732boo555bo$1732boo555bobo$2289boo4$1740b
oo$1740boo4$1747boo$1746bobo$1746boo5$3019bo$3020bo$3018b3o$1755bo
1291b3o$1755bo1291bobb3o$1755bo1292bobo$3053bo$3051bo$3053bobo$3046boo
bo6bo$3045boo3bobbobbo$3039b3o4bobbobbo3bo$3039bo6bobbobbo3bo$3042bo3b
o6bobo$3039bobbo8boo$3028boo10bobbo6b3o$3028boo11bo5bo3bo$3043boboboob
o$3045boo$1772b3o1274bo$$3046bobbo$$3027b3o$3027bobb3o$3028bobo$3033bo
$3031bo$3033bobo$1783boo1241boobo6bo$1782bobo1240boo3bobbobbo$1782boo
1235b3o4bobbobbo3bo$3019bo6bobbobbo3bo$3022bo3bo6bobo$3019bobbo8boo$
3020bobbo6b3o$1788boo1231bo5bo3bo$1788boo1000bo232boboboobo$2790bobo
232boo$2790boo237bo$$3026bobbo$3022bo$3021boo$3021bobo$$3024boo$3024b
oo$1800boo$1800boo1218boboo$3019b4o$3019bo3boo4boo$3024bobb3obo$1807b
oo1222bo$1806bobo1214boo4bo$1806boo1215boo4b3o$3024bo3bobbo$3024bo5b3o
$3025boo3b4o$3033b5o$3035b3oboo$3032boobbo3bo$3040boo$1815bo1221booboo
$1815bo1223b3o$1815bo1222bobo$3039bo4$3040boo$3040bobo$3040bo4$3037boo
$3036boo3bo$3038boboo$1832b3o1205b3o$3040bo$3042b3o15boo$3035boobo4boo
9boo4boo$3035boboo3bobo9boo$3029boo4boboo3b3o9b3o$3028boo6bo5b3o$3029b
obo4boo4bobo$3029b3o4boobboo$3029boo6bobo$1843boo1186bobo3boo3bo$1842b
obo1192b4o$1842boo1189bobo$3035b4o29bo$3035b4o30bo$3036boo29b3o$$1848b
oo$1848boo5$2289bo$2289bobo$2289boo4$1860boo$1860boo4$1867boo$1866bobo
$1866boo8$1875bo$1875bo$1875bo14$1892b3o$$3120boo$3120boo7$1903boo$
1902bobo$1902boo5$1908boo$1908boo880bo$2790bobo$2790boo9$1920boo$1920b
oo$3280bo$3174b3o102boo$3174bobb3o93bo5bobo$1927boo1246bobo94boo$1926b
obo1251bo91bobo3boobobo$1926boo1250bo97bo7boo$3180bobo92bo4bo5boo$
3173boobo6bo91bobbobb6o$3172boo3bobbobbo$3166b3o4bobbobbo3bo$3166bo6bo
bbobbo3bo97boobboo27boo$3169bo3bo6bobo98bob4o26boo3bo$3166bobbo8boo
101bo4bobo26boboo$1935bo1231bobbo6b3o109bo27b3o$1935bo1232bo5bo3bo109b
3o26bo$1935bo1234boboboobo141b3o$3172boo114bo23boobo4boo$3176bo135bob
oo3bobo$3288boobo14boo4boboo3b3o$3173bobbo111boob4o10boo6bo5b3o$3289bo
bb4o10bobo4boo4bobo$3154boobo132boo8boo4b3o4boobboo$3154bo3bo141bobo3b
oo6bobo$3154bo4bo140bo7bobo3boo3bo$3156boo156b4o$3158bobo139bo9bobo$
3187b3o122b4o$3153bo6boo27bo108bo3bo9b4o$3152b5o4bobbo23bo108bo3b3o9b
oo$1952b3o1191boo4bo6boo136bobobbobo$3146bobo11bo137bo3bobbo$3146bo5bo
boo6bobo140bo$3147boo4bo4bobo140bo$3147bobbo6b3o136boo3bobbo$3147bo6b
ooboo136boboo3bo$3149bobobobbo137boobo$3295bobo$3151bo4bo138boobo$
3152b4o141b3o$1963boo1332boo$1962bobo$1962boo$3171bo$3171bobo$3171boo
$$1968boo$1968boo5$2289bo$2289bobo$2289boo4$1980boo$1980boo4$1987boo$
1986bobo$1986boo8$1995bo$1995bo$1995bo5$3349boo$3349boo8$2012b3o10$
2023boo$2022bobo$2022boo5$2028boo$2028boo760bo$2790bobo$2790boo9$2040b
oo$2040boo4$2047boo$2046bobo$2046boo1352bo$3401bo$3399b3o$3428b3o$
3428bobb3o$3429bobo$3434bo$3432bo$2055bo1378bobo$2055bo1371boobo6bo$
2055bo1370boo3bobbobbo$3420b3o4bobbobbo3bo$3420bo6bobbobbo3bo$3423bo3b
o6bobo$3420bobbo8boo$3409boo10bobbo6b3o$3409boo11bo5bo3bo$3424boboboob
o$3426boo$3430bo$$3427bobbo$$3408b3o$2072b3o1333bobb3o$3409bobo$3414bo
$3412bo$3414bobo$3407boobo6bo$3406boo3bobbobbo$3400b3o4bobbobbo3bo$
3400bo6bobbobbo3bo$3403bo3bo6bobo$2083boo1315bobbo8boo$2082bobo1316bo
bbo6b3o$2082boo1318bo5bo3bo$3171bo232boboboobo$3171bobo232boo$3171boo
237bo$$2088boo1317bobbo$2088boo1313bo$3402boo$3402bobo$$3405boo$2289bo
1115boo$2289bobo$2289boo1110boboo$3400b4o$3400bo3boo4boo$3405bobb3obo$
2100boo1310bo$2100boo1302boo4bo$3404boo4b3o$3405bo3bobbo$3405bo5b3o$
2107boo1297boo3b4o$2106bobo1305b5o$2106boo1308b3oboo$2838boobo7b3o561b
oobbo3bo$2838bo3bo6bo571boo$2838bo4bo7bo7boo557booboo$2840boo7bobo4boo
bo560b3o$2777b3o62bobo4b3obobboo561bobo$2777bo70bo3boobboo562bo$2780bo
63boob4oboo$2115bo661bobbo64b7o$2115bo662bobbo$2115bo663bo641boo$2781b
obo637bobo$2783boo636bo$2784bo95bo$2783boo30b3o61boo$2782b3o32bo61bobo
$2777boobooboo31bo601boo$2777bo3boboo97boo533boo3bo$2777bob3obbo97boo
bb3o530boboo$2782boo102boobo531b3o$2781b3o100bo4bo531bo$2883b3o4bo532b
3o15boo$2883bo5bo526boobo4boo9boo4boo$2780b3o87boo12bobobboo525boboo3b
obo9boo$2132b3o645b3o86boo539boo4boboo3b3o9b3o$2871bo9b3o525boo6bo5b3o
$2779boo92boo6booboo524bobo4boo4bobo$2779bo93boobboobbob3o524b3o4boobb
oo$2876boobobboo526boo6bobo$2877bo4boo528bobo3boo3bo$2874boo3bo538b4o$
2833boo39boo538bobo$2833bobo38bo541b4o29bo$2833bo41booboo536b4o30bo$
2143boo691bo40bobo537boo29b3o$2142bobo691boo3bo20boo$2142boo692boobbob
o19bobo$2837boboobbo18bo$2837boobob3o20bo$2837bobo3boo20boo3bo$2837bo
5bo21boobbobo$2148boo673b3o17boo21boboobbo$2148boo666bo6bo12boo28boobo
b3o$2817bo6bo10boboo27bobo3boo$2815b3o8b3o5bo4bo26bo5bo$2827b6oboo3bo
12b3o17boo$2830bo4bo16bo12boo$2829bobo4boo15bo10boboo$2812bo15b3o24b3o
5bo4bo$2811boo14bo28b6oboo3bo$2811bobo14bobo28bo4bo$2829b5o24bobo4boo$
2814boo14boobo23b3o$2160boo652boobb3o35bo$2160boo656boobo35bobo$2816bo
4bo36b5o$2815b3o4bo36boobo$2815bo5bo$2167boo633boo12bobobboo$2166bobo
632boo$2166boo635bo9b3o$2805boo6booboo$2805boobboobbob3o$2808boobobboo
$2809bo4boo$2806boo3bo$2806boo$2806bo$2175bo631booboo$2175bo633bobo$
2175bo11$3501boo$3501boo$$2192b3o10$2203boo$2202bobo$2202boo$3171bo$
3171bobo$2847bo323boo$2847bobo$2208boo637boo$2208boo5$2289bo$2289bobo$
2289boo$3661bo$3555b3o102boo$3555bobb3o93bo5bobo$2220boo1334bobo94boo$
2220boo1339bo91bobo3boobobo$3559bo97bo7boo$3561bobo92bo4bo5boo$3554boo
bo6bo91bobbobb6o$2227boo1324boo3bobbobbo$2226bobo1318b3o4bobbobbo3bo$
2226boo1319bo6bobbobbo3bo97boobboo27boo$3550bo3bo6bobo98bob4o26boo3bo$
3547bobbo8boo101bo4bobo26boboo$3548bobbo6b3o109bo27b3o$3549bo5bo3bo
109b3o26bo$3551boboboobo141b3o$3553boo114bo23boobo4boo$3557bo135boboo
3bobo$2235bo1433boobo14boo4boboo3b3o$2235bo1318bobbo111boob4o10boo6bo
5b3o$2235bo1434bobb4o10bobo4boo4bobo$3535boobo132boo8boo4b3o4boobboo$
3535bo3bo141bobo3boo6bobo$3535bo4bo140bo7bobo3boo3bo$3537boo156b4o$
3539bobo139bo9bobo$3568b3o122b4o$3534bo6boo27bo108bo3bo9b4o$3533b5o4bo
bbo23bo108bo3b3o9boo$3527boo4bo6boo136bobobbobo$3527bobo11bo137bo3bobb
o$3527bo5boboo6bobo140bo$3528boo4bo4bobo140bo$3528bobbo6b3o136boo3bobb
o$2252b3o1273bo6booboo136boboo3bo$3530bobobobbo137boobo$3676bobo$3532b
o4bo5boo131boobo$3533b4o5boo134b3o$3544bo133boo$3546boo$3545bo$3552bo$
3544bobbo4bobo$2263boo1276boobo7boo$2262bobo1275boo4bo$2262boo1278bobo
bbo$3547bo$3544bobbo$3545bobo$3545bobo$2268boo1276boo$2268boo1276bo11$
2280boo$2280boo4$2287boo$2286bobo$2286boo8$2295bo$2295bo$2295bo1434boo
$3730boo23$2323boo$2322bobo$2322boo$3171bo$3171bobo$2847bo323boo$2847b
obo$2328boo517boo$2328boo11$2340boo$2340boo$3781bo$3782bo$3780b3o27boo
bo179boo$2347boo1461bo3bo177boo$2346bobo1461bo4bo170boo5bo$2346boo
1464boo171boo5boo$3814bobo170bo4bobobboo$3989boo3boob4o$3809bo6boo171b
oo10bo$3808b5o4bobbo180bo$3802boo4bo6boo178bo$3802bobo11bo178bo3bo28bo
$3802bo5boboo6bobo173booboo28b5o$2355bo1447boo4bo4bobo177bo3boboo25bo
bboo$2355bo1447bobbo6b3o179boob4o27boobo$2355bo1434boo11bo6booboo185b
oobbo$3790boo13bobobobbo188boobo27bobo$4002bo$3807bo4bo189boo21b3o6b3o
$3808b4o190b3o15bo4bobb3o4b3o$4002boobbo12boo5boob5ob3o$4006bobo10bobo
3b3o4booboo$4003bo3bobo21bobo$3789b3o211b6o4b3o5b3o6bobbo$3789bobb3o
210b3o5bo6b3o7bo$3790bobo221bo7bobob4obbo$3795bo228booboo$3793bo106boo
111b3o8b6o$3795bobo101bobo110bo$3788boobo6bo102bo109bo4bo$3787boo3bobb
obbo212bo4bo$3781b3o4bobbobbo3bo212bo3boo$3781bo6bobbobbo3bo217bo$
3784bo3bo6bobo215bobbo$3781bobbo8boo214boobbobbo$3782bobbo6b3o214boo4b
o$3783bo5bo3bo214bo$3785boboboobo216bobbo$3787boo220bo$2383boo1406bo
218b3o$2382bobo$2382boo1404bobbo5$2388boo$2388boo11$2400boo$2400boo4$
2407boo$2406bobo$2406boo8$2415bo$2415bo$2415bo6$4062boo$4062boo17$
2443boo$2442bobo$2442boo$3171bo$3171bobo$2847bo323boo$2847bobo$2448boo
397boo$2448boo11$2460boo$2460boo$3807bo$3806bo$3806b3o$2467boo$2466bob
o$2466boo$4113bo$4111bobo$4112boo196bo$4142b3o164boo$4142bobb3o155bo5b
obo$4143bobo156boo$4148bo153bobo3boobobo$2475bo1670bo159bo7boo$2475bo
1672bobo154bo4bo5boo$2475bo1665boobo6bo153bobbobb6o$4140boo3bobbobbo$
4134b3o4bobbobbo3bo$4134bo6bobbobbo3bo159boobboo27boo$4137bo3bo6bobo
160bob4o26boo3bo$4134bobbo8boo163bo4bobo26boboo$4122boo11bobbo6b3o171b
o27b3o$4122boo12bo5bo3bo171b3o26bo$4138boboboobo203b3o$4140boo176bo23b
oobo4boo$4144bo197boboo3bobo$4318boobo14boo4boboo3b3o$4141bobbo173boob
4o10boo6bo5b3o$4319bobb4o10bobo4boo4bobo$4122boobo194boo8boo4b3o4boobb
oo$4122bo3bo203bobo3boo6bobo$4122bo4bo202bo7bobo3boo3bo$4124boo218b4o$
4126bobo211bobo$4231b3o108b4o$4121bo6boo103bo108b4o$4120b5o4bobbo99bo
110boo$4114boo4bo6boo$4114bobo11bo$2503boo1609bo5boboo6bobo$2502bobo
1610boo4bo4bobo$2502boo1611bobbo6b3o205b3o$4115bo6booboo205bobbo$4117b
obobobbo207bo3bo$4331boobbo$4119bo4bo208bo$2508boo1610b4o210boo$2508b
oo1824b3o$4334b3o3$4335boo$4334bobbo$4335bo5$2520boo$2520boo4$2527boo$
2526bobo$2526boo8$2535bo$2535bo$2535bo20$4386boo$4386boo3$2563boo$
2562bobo$2562boo$3171bo$3171bobo$2847bo323boo$2847bobo$2568boo277boo$
2568boo11$2580boo$2580boo$3807bo$3806bo$3806b3o$2587boo$2586bobo$2586b
oo$4139bo$4139bobo$4139boo5$2595bo$2595bo$2595bo1863boobo59boo$4459bo
3bo57boo$4459bo4bo50boo5bo$4461boo51boo5boo$4463bobo50bo4bobobboo$
4518boo3boob4o$4458bo6boo51boo10bo$4457b5o4bobbo60bo$4451boo4bo6boo58b
o$4451bobo11bo58bo3bo28bo$4451bo5boboo6bobo53booboo28b5o$4452boo4bo4bo
bo57bo3boboo25bobboo$4444bo7bobbo6b3o59boob4o27boobo$4445bo6bo6booboo
65boobbo$4443b3o8bobobobbo68boobo27bobo$4531bo$4456bo4bo69boo21b3o6b3o
$4457b4o70b3o15bo4bobb3o4b3o$4531boobbo12boo5boob5ob3o$4535bobo10bobo
3b3o4booboo$4446boo84bo3bobo21bobo$4438b3o5boo84b6o4b3o5b3o6bobbo$
4438bobb3o90b3o5bo6b3o7bo$4439bobo101bo7bobob4obbo$2623boo1819bo108boo
boo$2622bobo1817bo110b6o$2622boo1820bobo$4437boobo6bo$4436boo3bobbobbo
$4430b3o4bobbobbo3bo$4430bo6bobbobbo3bo$2628boo1803bo3bo6bobo$2628boo
1800bobbo8boo$4431bobbo6b3o101b3o$4432bo5bo3bo102bobbo$4434boboboobo
102bo3bo$4436boo9bo96boboboo$4440bo5boo97booboo$4446bobo97b3o$4437bobb
o$4449boo$4449boo$4549bo$2640boo1803boboo97b3o$2640boo1802b4o99boo$
4444bo3boo$4449bobbo$$2647boo1799boo3bo$2646bobo1799boo3bo$2646boo
1801bo$4449bo$4450boo6$2655bo$2655bo$2655bo24$2683boo$2682bobo$2682boo
1914boo$3171bo1426boo$3171bobo$2847bo323boo$2847bobo$2688boo157boo$
2688boo11$2700boo$2700boo$3807bo$3806bo$3806b3o$2707boo$2706bobo$2706b
oo$4139bo$4139bobo$4139boo5$2715bo$2715bo$2715bo7$4671b3o$4671bobb3o$
4672bobo$4677bo$4675bo$4677bobo$4670boobo6bo$4669boo3bobbobbo$4663b3o
4bobbobbo3bo$4663bo6bobbobbo3bo$4666bo3bo6bobo$4656bo6bobbo8boo$4654bo
bo7bobbo6b3o$4655boo8bo5bo3bo$4667boboboobo$4669boo$4673bo$2743boo$
2742bobo1925bobbo$2742boo1914boo$4651boobo3boo$4651bo3bo$4651bo4bo$
4653boo$2748boo1905bobo$2748boo2024b3o117b3o117b3o117b3o117b3o117b3o$
4650bo6boo117bo119bo119bo119bo119bo119bo$4649b5o4bobbo113bo119bo119bo
119bo119bo119bo$4643boo4bo6boo$4643bobo11bo$4643bo5boboo6bobo$4644boo
4bo4bobo$4644bobbo6b3o$4644bo6booboo$4646bobobobbo$$2760boo1886bo4bo$
2760boo1887b4o4$2767boo$2766bobo$2766boo8$2775bo$2775bo$2775bo24$2803b
oo$2802bobo$2802boo$3171bo$3171bobo$2847bo323boo$2847bobo$2808boo37boo
$2808boo11$2820boo$2820boo$3807bo$3806bo$3806b3o$2827boo$2826bobo$
2826boo$4139bo$4139bobo$4139boo5$2835bo$2835bo$2835bo18$4668bo$4668bob
o$4668boo4$2863boo$2862bobo$2862boo5$2868boo$2868boo11$2880boo$2880boo
5$2886boo$2886boo8$2895bo$2895bo$2895bo24$2923boo$2922bobo$2922boo$
3171bo$3171bobo$3171boo$$2928boo$2928boo11$2940boo$2940boo$3807bo$
3806bo$3806b3o$$2946boo$2946boo$4139bo$4139bobo$4139boo5$2955bo$2955bo
$2955bo18$4668bo$4668bobo$4668boo4$2983boo$2982bobo$2982boo5$2988boo$
2988boo11$3000boo$3000boo5$3006boo$3006boo8$3015bo$3015bo$3015bo24$
3043boo$3042bobo$3042boo$3171bo$3171bobo$3171boo$$3048boo$3048boo11$
3060boo$3060boo$3807bo$3806bo$3806b3o$$3066boo$3066boo$4139bo$4139bobo
$4139boo5$3075bo$3075bo$3075bo18$4668bo$4668bobo$4668boo4$3103boo$
3102bobo$3102boo5$3108boo$3108boo11$3120boo$3120boo5$3126boo$3126boo8$
3135bo$3135bo$3135bo10$4187boobo7b3o$4187bo3bo6bo$4187bo4bo7bo7boo$
4189boo7bobo4boobo$4126b3o62bobo4b3obobboo$4126bo70bo3boobboo$4129bo
63boob4oboo$4126bobbo64b7o$4127bobbo$4128bo$4130bobo$4132boo$4133bo95b
o$4132boo30b3o61boo$3163boo966b3o32bo61bobo$3162bobo961boobooboo31bo$
3162boo962bo3boboo97boo$3171bo954bob3obbo97boobb3o$3171bobo957boo102b
oobo$3171boo957b3o100bo4bo$4232b3o4bo$3168boo1062bo5bo$3168boo959b3o
87boo12bobobboo$4129b3o86boo$4220bo9b3o$4128boo92boo6booboo$4128bo93b
oobboobbob3o$4225boobobboo$4226bo4boo$4223boo3bo$4182boo39boo$4182bobo
38bo$4182bo41booboo$3180boo1003bo40bobo$3180boo1003boo3bo20boo$3807bo
377boobbobo19bobo$3806bo379boboobbo18bo$3806b3o377boobob3o20bo$4186bob
o3boo20boo3bo$3186boo998bo5bo21boobbobo$3186boo984b3o17boo21boboobbo$
4165bo6bo12boo28boobob3o$4166bo6bo10boboo27bobo3boo$4164b3o8b3o5bo4bo
26bo5bo$4176b6oboo3bo12b3o17boo$4179bo4bo16bo12boo$4178bobo4boo15bo10b
oboo$4161bo15b3o24b3o5bo4bo$3195bo964boo14bo28b6oboo3bo$3195bo964bobo
14bobo28bo4bo$3195bo982b5o24bobo4boo$4163boo14boobo23b3o$4163boobb3o
35bo$4167boobo35bobo$4165bo4bo36b5o$4164b3o4bo36boobo$4164bo5bo$4151b
oo12bobobboo$4150boo$4152bo9b3o$4154boo6booboo$4154boobboobbob3o$4157b
oobobboo$4158bo4boo$4155boo3bo$4155boo$4155bo$4156booboo$4158bobo507bo
$4668bobo$4668boo4$3223boo$3222bobo$3222boo17$3240boo$3240boo4$4196bo$
3246boo948bobo$3246boo948boo8$3255bo$3255bo$3255bo24$3283boo$3282bobo$
3282boo17$3300boo$3300boo$3807bo$3806bo$3806b3o$$3306boo$3306boo8$
3315bo$3315bo$3315bo18$4668bo$4668bobo$4668boo4$3343boo$3342bobo$3342b
oo17$3360boo$3360boo4$4196bo$3366boo828bobo$3366boo828boo8$3375bo$
3375bo$3375bo24$3403boo$3402bobo$3402boo17$3420boo$3420boo$3807bo$
3806bo$3806b3o$$3426boo$3426boo8$3435bo$3435bo$3435bo18$4668bo$4668bob
o$4668boo4$3463boo$3462bobo$3462boo17$3480boo$3480boo4$4196bo$3486boo
708bobo$3486boo708boo8$3495bo$3495bo$3495bo24$3523boo$3522bobo$3522boo
17$3540boo$3540boo$3807bo$3806bo$3806b3o$$3546boo$3546boo8$3555bo$
3555bo$3555bo18$4668bo$4668bobo$4668boo4$3583boo$3582bobo$3582boo17$
3600boo$3600boo4$4196bo$3606boo588bobo$3606boo588boo8$3615bo$3615bo$
3615bo24$3643boo$3642bobo$3642boo17$3660boo$3660boo$3807bo$3806bo$
3806b3o$$3666boo$3666boo8$3675bo$3675bo$3675bo18$4668bo$4668bobo$4668b
oo4$3703boo$3702bobo$3702boo17$3720boo$3720boo4$4196bo$3726boo468bobo$
3726boo468boo8$3735bo$3735bo$3735bo24$3763boo$3762bobo$3762boo17$3780b
oo$3780boo$3807bo$3806bo$3806b3o$$3786boo$3786boo8$3795bo$3795bo$3795b
o18$4668bo$4668bobo$4668boo4$3823boo$3822bobo$3822boo17$3840boo$3840b
oo4$4196bo$3846boo348bobo$3846boo348boo34$3883boo$3882bobo$3882boo17$
3900boo$3900boo5$3906boo$3906boo28$4668bo$4668bobo$4668boo4$3943boo$
3942bobo$3942boo17$3960boo$3960boo4$4196bo$3966boo228bobo$3966boo228b
oo34$4003boo$4002bobo$4002boo17$4020boo$4020boo5$4026boo$4026boo28$
4668bo$4668bobo$4668boo4$4063boo$4062bobo$4062boo17$4080boo$4080boo4$
4196bo$4086boo108bobo$4086boo108boo34$4123boo$4122bobo$4122boo17$4140b
oo$4140boo5$4146boo$4146boo28$4668bo$4668bobo$4668boo4$4183boo$4182bob
o$4182boo23$4206boo$4206boo34$4243boo$4242bobo$4242boo23$4266boo$4266b
oo28$4668bo$4668bobo$4668boo4$4303boo$4302bobo$4302boo23$4326boo$4326b
oo34$4363boo$4362bobo$4362boo23$4386boo$4386boo28$4668bo$4668bobo$
4668boo4$4423boo$4422bobo$4422boo23$4446boo$4446boo34$4483boo$4482bobo
$4482boo23$4506boo$4506boo28$4668bo$4668bobo$4668boo4$4543boo$4542bobo
$4542boo23$4566boo$4566boo34$4603boo$4602bobo$4602boo23$4626boo$4626b
oo28$4668bo$4668bobo$4668boo4$4663boo$4662bobo$4662boo4$4656boo$4656bo
bb3o$4656bob5obo$4657bo6boo$4657bo5b3o$4657bobbobbo$4660b4o$4650boobo
bbo7bobbo$4650boboobboobo3bobbobo$4650boboo3bo5bobbobo$4651bo4bo5boo$
4651boo3bo3bobo$4642boobbo4boo6bob3o$4641boo4bobboo6b4o$4643boobobb3o
7boo3boo$4645boobbo9bobo$4652bo6bobobboobo$4649bobbo3boo6boobo$4650bo
4boo9bo$4651bo5bo8bobo$4662boobbobo$4662bo$4662bo$4664b3o$4664b6o$
4664bo$4664boo3bo$4664boobbo$4665b3obb3o$4667bo4bobo$4667b4obobo$4667b
4obobo$4670bo!

This is not packed since I am too tired to do that now. Someone else can do that if they want, and maybe find a different sequence that will need fewer convoys.

The sequence of glider duplication convoys sure looks nice and lean.

Edit: Fixed description.

BCNU,
-dbell

[C_R_116]

So here is another rake which is suitable.

Code: Select all

#C A diagonal c/4 period 1160 sideways rake.
...

BCNU,
-dbell

I used three of those rakes (along w/swan, Canada goose, b29) to make a simple Glider-making switch engine breeder:

Code: Select all

x = 509, y = 668, rule = B3/S23
270b3o$270bo$271bo$273b2o$274bo2$271b2o$263b3o5b2o$263bo6bobo$264bo4b
2o$266b4obo$267b2o$271bo$270bobo$271bobo$238b2o$237b2o32bo2b2o$239bo
18bo12bo2b2o$218b2o21b2o14b2o13bo$217b2o3bo6bo5b2o3bo16bobo9bob2o$219b
ob2o5b2o5b2o12b3o12bobob2obo$221b3o3bo2bob2o3b2o3bo4b2o3bob2o4b2obo2bo
bobo$221bo4b5o7bo7bo2bobo2bo6bo2bo2bo12bo$216b3o4b2o2bo5b2o3bo2bo3bo5b
obob4o5b2obo11b2o6b3o$216bo7b4obo10bo3b2obo8bo3b2o2b2o13bobo5bo$217bo
6bo2bobo22bobobo3bo2b3o2b2o18bo$173bo45b3o2bo4bobo2b2o4bo3b3ob2o3bo6bo
2b2o2b2ob2o4b3o11b2o$172b2o50bo3bo4b2o2bobobob3o2bo3bo5bo4b2obo2bob3o
2bo12b2o$172bobo7b2o38b2o3bo2b3o2b3o4bo4bo4bo7bo2bob4o2bob2ob3o3b3o$
179b2obo31b3o3bob4obo3b2o3bo3b3o2bo10bo3bo2bo3bo3bobo3bo4bo5bo$175b2o
2b2o28b2o3bo4b3o5bo9b3o4bo3b5ob3o6bo8b2ob2ob2o3bo4bo$175b2o2b2o28bobo
5bob2o8b3o4b2obo4bo4bob2o5bo5bo8b3ob2obo4bo2bo$176b2o31bo3bo3bobo9b2o
5bo4bo2bo2bo17bo9b2o7b3o2bobo$176b4obo5bo9b2o13b2o3b4o8b2o15bo18bo$
175bobob2obo2b3o2b2o5bobo12bo11b2o$174b2o8b2obo2bo2bobo15b5ob2o3bobo9b
2o12b3o26b2ob4o2bo$174b2o3b3o3bo5bo3bob2o15b2ob2o2bo3bo8bobo3b3o5bo29b
o3bo$174bo10bo2bobo23bob2ob2o3bob5o3bo5bo8bo29bo$175b3o9bo2b9o2b2o6bo
4bo4bo4bob6o2bobo4bo9b3o$179b2o2b2ob2obo2bo6bob2o5b2o3bob2o4bo5b2o3bob
obo6bo$179b2o3b2o5bo5bo5bo4bobo3b8o11bo2b2o4b4o4b2obo$170b3o3b2o20b5o
2bo9b5o9bo5b2o2b3o4b2ob4o$170bo4bo2bo2bobo16b4o7bo18b2o11b2o$171bo6b5o
11b2o8bo2bobo2bo26bo2bo5b3o$174bobo2b3o5b2o4b2obo11b2o2bo27b2o$173b2o
4b3o4b2o5bo10b2o6bo$172b2ob3o10bo3b3o8b2obo3bobo5b3o$182b2o9bo7bob2o2b
2o3bo3b3obo$175b3o11b2o3bo4b2o7b2o2bo6b2o7b2o$174bo4bo8b2obobo3bob2o4b
ob2o2b2o14bo2bo$171bob2o3bo5b2o2b7o2bo2bo6bo3bo16b2o$170b4ob5o4bobo3b
4o3bo8bobo$170bobo3b2obobo2bo16b2o4bo$178b2obo5bo$176bo2bo7b3o35bo12b
2o$170b3o2b2o3b2o7bo33b2ob2o10b3o$171b2obo2bo11b2o28b2o2b2ob2o9bo2bo$
171b2obo5bo9b2o22b2o3b2o3bo2b2o9b3o$164b3o4b2o4bo2bo9bobob3o2b2o12b2o
9bo2bo11b2o$164bo7bobobo4b2o9b2o4bo3bo5b2o4bobo8b2o11b2o2bo$165bo14b2o
9bobo2bo5bo4b2o5b2obo20b2obobo$167b3o2bobo15b2obo2bo2b3o7bo5bobo21bo3b
o$168b3o10bo8bo7bo12b2o2bobo22b3o$170b2o4bo5b2o27b4o2bo22bo45b2o$171bo
bob2o7b2obo8b3o14b2o2b2o20bo45b2o$166b3o4bobobo3bo3bobo7b2o2bo6b2o6bo
4bo19bo47bo$166bo14bobobobo9bo7b2o3b3ob2o3bo69b2o$169b2o11b3o22bob4o2b
obo70bo$166bo2b2o8b2o2bo31bo$169bo9bo3bo25bo3bo2bobo20bo47bo2bo$164bob
2o11bo29bo3bo4bo20bo46b2o$163b3o3bo11bo2bo29bo70bo$162b3obo3bo9b4obo
54bo12b2o7b2o17b2o2bobo$161b4obo2bo13bo2bo52bobo11b2o7bobo16bobo2bo$
162bo14b3o5b3o51bo2bo5b2o12bo14bo3bobo$156b2obobob2o12bo8b3o51b2o6b2o
13b2o11b2o4b2o$151b2o3bo4bo18bo6b2o74bo2bo9bobo3b2o$151bobo2bo20bo2bo
2b3o77bo17b3o14b2obo$151bo6b3obobo13bo4bo81bobob3o7bo3bo14bo3bo$154bo
3b2o3bo15bo3b3o61b3o23bo4b2o2bo15bo4bo$154b2o28b2o46b3o11bo2bo17bo9bo
22b2o$184bo47bo2b3o30b4ob2ob4o22bobo$184b3o46bobo12bo29b2o$180bo2bo4bo
49bo6b3o2b2o45bo6b2o$179b3o6bo47bo7bobo3bobo43b5o4bo2bo$178b2o9bo48bob
o11bo37b2o4bo6b2o$177b2o7b2o43b2obo6bo2bo3bo3bo4bo32bobo11bo$178bo51b
2o3bo2bo2bo9bo4bobo31bo5bob2o6bobo$169b3o14b2obo34b3o4bo2bo2bo3bo4bo3b
o4bo2bo32b2o4bo4bobo$169bo8bo7bo2bo34bo6bo2bo2bo3bo5b3o6b2o33bo2bo6b3o
$170bo2b5o8bobo38bo3bo6bobo50bo6b2ob2o$172bo51bo2bo8b2o55bobobo2bo$
173b2o50bo2bo6b3o$226bo5bo3bo58bo4bo$228bobob2obo60b4o$230b2o$234bo2$
231bo2bo2$259b2o2bo$258b2o5bo$259bobo3b4o$259b2ob4o$259b3o4bobo$263bo$
263b5o$253b2obo2b2o2b2o2bo2bo$252b2o3bob3o4b4obo26b2o$253bo2bo3b2o4b2o
$253bo2bo2b2o3b3o$253bo9bo41bo$244b3o14bo4bo39bo$244bo2b4obo8bo4b2o38b
o$245b3ob4obo$247b3o2bobo6b2obo4bo$224b2o35bo5b2o$224bobo27bo3b3o6bo2b
o$224bobo26b2o3bo10bo$225b3o31bo8b2o$225bobo37b2o$225b3o36b2o$225b2o
39bobo$226bo39b2o3bo$226b2o38bo3b2o$225bo40bo3bobo9bo$226bobo37bo14bo$
227bo42b5o6b3o$229bo19bo17b2ob2o2b3o$227b3o9b3o6b4o23bo$227bo11bo7b2o
4bobo13bo3bobob2o$229b3o8bo4b2o2bo3b4o13bo$231bo10b2o4bo4b4o14bob2o$
231b3o9bob2obo$224b2o7bo16b2o$224bobo6b2o6bo2b2o$224bo9b2o4b6o3bo8bo4b
3o8bobo$227bo6b2o2b2o2b8o7b2o4bo7bob2obo$227b2o5bob3o11bo6bobo4bo5bobo
bo2bo$227b2o5bob2o5bo3bo2bo18bo$226b2o5b3o3bo3b2o2bo2bo6bobo3b3obobob
2o3bo$222b2ob2o6bobo4bo2b2o3b7ob4o3b2o7bo$222bo4bo6bob2obo10b5o7bo5bo
2bo$222bob4o6b4o13b2o7bobobo$226b2o9bo24bo$226b2o7b2o$226b2o4bo4bo$
228bo4bo3bo3bo$227b2o4bobob3ob3o$227bo6bob2o3bo2bo$228bo8bo4b3o$236bob
o2bobobo$235b2ob2o$222bo6bo3b3o3bo2bobo$221b2o5b3ob2o3bo5bo$221bobo3bo
2bo2bo6b4o183b3o$227bobo2b2o2b2o3b2o3bo180bo$224b2o2bo4bo5bo7b2o179bo$
223b3o3bobobo2bo2bo6b2o182b2o$223bobo2bo6bo195bo$228bo5bo3bo11bo$219b
2ob3o6bobo4bo12b2o175b2o$219bo5bo4b2ob2obob2o10b2o168b3o5b2o$219bo5bo
4b2o4bob2o180bo6bobo$216b2obobo14bo17bo166bo4b2o$216bo6bo4b2o6bo18b2o
166b4obo$216bo4bo6b2o5bo18b2o168b2o$217b2obobobo5bo4b2o191bo$216bobo2b
3o4b2o2bob2obob2o17bo168bobo$216b2o3b2ob6o5bobo21b2o167bobo$216b2o11bo
6b2o2bo17b2o135b2o$217bo4bobobob2o9b2o153b2o32bo2b2o$224bobobobo5bo3b
3o19bo133bo18bo12bo2b2o$217b2o5bo5b2o3b3obo23b2o110b2o21b2o14b2o13bo$
216b2o12bobobobo5bo19b2o110b2o3bo6bo5b2o3bo16bobo9bob2o$214b2ob2o15bob
ob2obo134bob2o5b2o5b2o12b3o12bobob2obo$213b2ob3o7bob2o6bo2bo5bo20bo
111b3o3bo2bob2o3b2o3bo4b2o3bob2o4b2obo2bobobo$215bo9b4o9bobobob2o21b2o
109bo4b5o7bo7bo2bobo2bo6bo2bo2bo12bo$215bo9bobo7bobo2bobobobo19b2o105b
3o4b2o2bo5b2o3bo2bo3bo5bobob4o5b2obo11b2o6b3o$215bo21bo2bo3bo128bo7b4o
bo10bo3b2obo8bo3b2o2b2o13bobo5bo$226b3o9b2o5b2o23bo103bo6bo2bobo22bobo
bo3bo2b3o2b2o18bo$210bo14b7o6b2ob2o28b2o57bo45b3o2bo4bobo2b2o4bo3b3ob
2o3bo6bo2b2o2b2ob2o4b3o11b2o$209b9o5b2o4b2o8b2o29b2o57b2o50bo3bo4b2o2b
obobob3o2bo3bo5bo4b2obo2bob3o2bo12b2o$209bo5b3o5bo17b3o18b3o17bo46bobo
7b2o38b2o3bo2b3o2b3o4bo4bo4bo7bo2bob4o2bob2ob3o3b3o$212bo2bo5bobo10b2o
2bo23bo11bo6bo54b2obo31b3o3bob4obo3b2o3bo3b3o2bo10bo3bo2bo3bo3bobo3bo
4bo5bo$205b2ob2o2bo7b3ob2obo5bo4bo5b2o17bo11b2o4b3o48b2o2b2o28b2o3bo4b
3o5bo9b3o4bo3b5ob3o6bo8b2ob2ob2o3bo4bo$205bo5bo8bo11bo3bob2o5b2o18b2o
7b2o56b2o2b2o28bobo5bob2o8b3o4b2obo4bo4bob2o5bo5bo8b3ob2obo4bo2bo$205b
o4b2o7bobo10bo11b2o20bo3b2o61b2o31bo3bo3bobo9b2o5bo4bo2bo2bo17bo9b2o7b
3o2bobo$207bo12b2o9bo6b2o5bo23b2o6bo55b4obo5bo9b2o13b2o3b4o8b2o15bo18b
o$206bo2b2o8bob2o8bob2o37b2o58bobob2obo2b3o2b2o5bobo12bo11b2o$206bo14b
2o7bo2bobobo5bobo20b6o3bo2bo52b2o8b2obo2bo2bobo15b5ob2o3bobo9b2o12b3o
26b2ob4o2bo$209bo8b2ob2o12bo2bo4bo22bo2b2obo3b2o53b2o3b3o3bo5bo3bob2o
15b2ob2o2bo3bo8bobo3b3o5bo29bo3bo$219bob2o7b3o2bo4b2obo9b2o13bo4bo57bo
10bo2bobo23bob2ob2o3bob5o3bo5bo8bo29bo$219bobo8b3o2bo2bobo3bo8bobo10bo
6bo58b3o9bo2b9o2b2o6bo4bo4bo4bob6o2bobo4bo9b3o$220b2o13b4o14bo11bo70b
2o2b2ob2obo2bo6bob2o5b2o3bob2o4bo5b2o3bobobo6bo$232bob4o2bo2b3o10bo7b
2o3bo66b2o3b2o5bo5bo5bo4bobo3b8o11bo2b2o4b4o4b2obo$232bob2o5b2o13b2o2b
2obo2b3o58b3o3b2o20b5o2bo9b5o9bo5b2o2b3o4b2ob4o$234b3o3bo19bo5bo60bo4b
o2bo2bobo16b4o7bo6bo11b2o11b2o$239b2o19bobo3bo61bo6b5o11b2o8bo2bobo2bo
5bo20bo2bo5b3o$238bo2bo16bob2o3bo65bobo2b3o5b2o4b2obo11b2o2bo5bo5b2o
14b2o$234b3o6b2o12b2ob2o68b2o4b3o4b2o5bo10b2o6bo11bo$234b3ob3obo14bo2b
o68b2ob3o10bo3b3o8b2obo3bobo2bo9bo$230bo6bobo19bobo77b2o9bo7bob2o2b2o
3bo2bo7b3o$229b4o8bo2bo14bo2b2o68b3o11b2o3bo4b2o7b2o2bo2bo6b2o2bo$224b
2o3bo2b2o97bo4bo8b2obobo3bob2o4bob2o2b2o8b6o$224bobo4bob2o6b2o85bob2o
3bo5b2o2b7o2bo2bo6bo3bo8bob4o2b2o$224bobo5bo94b4ob5o4bobo3b4o3bo8bobo
12bo4bo3bo$225b3o5b2o92bobo3b2obobo2bo16b2o4bo14bobobob3o$225bobo107b
2obo5bo37b2o3bo$225b3o105bo2bo7b3o37bobo3bo$225b2o100b3o2b2o3b2o7bo42b
2o$226bo101b2obo2bo11b2o41bobo$226b2o100b2obo5bo9b2o22b2o11bo$225bo95b
3o4b2o4bo2bo9bobob3o2b2o12b2o7bo6bo2bo$226bobo92bo7bobobo4b2o9b2o4bo3b
o5b2o4bobo3bobo5bo4bo2bo$227bo94bo14b2o9bobo2bo5bo4b2o5b2obo2bo7b3obo
2bobo$229bo19bo74b3o2bobo15b2obo2bo2b3o7bo5bobo11b2o5bo$227b3o9b3o6b4o
73b3o10bo8bo7bo12b2o2bobo$227bo11bo7b2o4bobo71b2o4bo5b2o27b4o2bo68b2o$
229b3o8bo4b2o2bo3b4o71bobob2o7b2obo8b3o14b2o2b2o66b2o$231bo10b2o4bo4b
4o66b3o4bobobo3bo3bobo7b2o2bo6b2o6bo4bo16bo50bo$231b3o9bob2obo74bo14bo
bobobo9bo7b2o3b3ob2o3bo15bobo51b2o$224b2o7bo16b2o74b2o11b3o22bob4o2bob
o16bo2bo50bo$224bobo6b2o6bo2b2o77bo2b2o8b2o2bo31bo19b2o$224bo9b2o4b6o
3bo8bo4b3o8bobo49bo9bo3bo25bo3bo2bobo68bo2bo$227bo6b2o2b2o2b8o7b2o4bo
7bob2obo44bob2o11bo29bo3bo4bo67b2o$227b2o5bob3o11bo6bobo4bo5bobobo2bo
42b3o3bo11bo2bo29bo70bo$227b2o5bob2o5bo3bo2bo18bo49b3obo3bo9b4obo76b2o
17b2o2bobo$226b2o5b3o3bo3b2o2bo2bo6bobo3b3obobob2o3bo41b4obo2bo13bo2bo
75bobo16bobo2bo$222b2ob2o6bobo4bo2b2o3b7ob4o3b2o7bo46bo14b3o5b3o74bo
14bo3bobo$222bo4bo6bob2obo10b5o7bo5bo2bo41b2obobob2o12bo8b3o74b2o11b2o
4b2o$222bob4o6b4o13b2o7bobobo43b2o3bo4bo18bo6b2o74bo2bo9bobo3b2o$226b
2o9bo24bo45bobo2bo20bo2bo2b3o77bo17b3o14b2obo$226b2o7b2o71bo6b3obobo
13bo4bo81bobob3o7bo3bo14bo3bo$226b2o4bo4bo73bo3b2o3bo15bo3b3o87bo4b2o
2bo15bo4bo$228bo4bo3bo3bo69b2o28b2o46b3o13bo12b2o4bo9bo22b2o$227b2o4bo
bob3ob3o97bo47bo2b3o9bobo5b3o3b2o5b4ob2ob4o22bobo$227bo6bob2o3bo2bo96b
3o46bobo11bo2bo4b2o21b2o$228bo8bo4b3o92bo2bo4bo49bo9b2o5b2o40bo6b2o$
236bobo2bobobo90b3o6bo47bo19bobo37b5o4bo2bo$235b2ob2o95b2o9bo48bobo14b
2ob2o30b2o4bo6b2o$222bo6bo3b3o3bo2bobo37bo51b2o7b2o43b2obo6bo11b2o3bo
31bobo11bo$221b2o5b3ob2o3bo5bo37bo53bo51b2o3bo2bo2bo10bo5bo31bo5bob2o
6bobo$221bobo3bo2bo2bo6b4o37b3o42b3o14b2obo34b3o4bo2bo2bo3bo49b2o4bo4b
obo$227bobo2b2o2b2o3b2o3bo79bo8bo7bo2bo34bo6bo2bo2bo3bo9bo5b2o32bo2bo
6b3o$224b2o2bo4bo5bo7b2o78bo2b5o8bobo38bo3bo6bobo11b2o37bo6b2ob2o$223b
3o3bobobo2bo2bo6b2o81bo51bo2bo8b2o32b3o20bobobo2bo$223bobo2bo6bo94b2o
50bo2bo6b3o30b4ob2o$228bo5bo3bo11bo132bo5bo3bo26bobo4b2o2bo20bo4bo$
219b2ob3o6bobo4bo12b2o132bobob2obo27b2o7b3o21b4o$219bo5bo4b2ob2obob2o
10b2o135b2o35bobo$219bo5bo4b2o4bob2o151bo$216b2obobo14bo17bo$216bo6bo
4b2o6bo18b2o131bo2bo$216bo4bo6b2o5bo18b2o$217b2obobobo5bo4b2o179b2o2bo
$216bobo2b3o4b2o2bob2obob2o17bo156b2o5bo$216b2o3b2ob6o5bobo21b2o155bob
o3b4o$216b2o11bo6b2o2bo17b2o156b2ob4o$217bo4bobobob2o9b2o175b3o4bobo$
224bobobobo5bo3b3o19bo157bo$217b2o5bo5b2o3b3obo23b2o155b5o$216b2o12bob
obobo5bo19b2o146b2obo2b2o2b2o2bo2bo$214b2ob2o15bobob2obo167b2o3bob3o4b
4obo$213b2ob3o7bob2o6bo2bo5bo20bo143bo2bo3b2o4b2o$215bo9b4o9bobobob2o
21b2o141bo2bo2b2o3b3o$215bo9bobo7bobo2bobobobo19b2o142bo9bo$215bo21bo
2bo3bo156b3o14bo4bo$226b3o9b2o5b2o23bo130bo2b4obo8bo4b2o$210bo14b7o6b
2ob2o28b2o129b3ob4obo$209b9o5b2o4b2o8b2o29b2o132b3o2bobo6b2obo4bo$209b
o5b3o5bo17b3o18b3o116b2o35bo5b2o$212bo2bo5bobo10b2o2bo23bo11bo106bobo
27bo3b3o6bo2bo$205b2ob2o2bo7b3ob2obo5bo4bo5b2o17bo11b2o104bobo26b2o3bo
10bo$205bo5bo8bo11bo3bob2o5b2o18b2o7b2o106b3o31bo8b2o$205bo4b2o7bobo
10bo11b2o20bo3b2o110bobo37b2o$207bo12b2o9bo6b2o5bo23b2o6bo104b3o36b2o$
206bo2b2o8bob2o8bob2o37b2o4bo103b2o39bobo$206bo14b2o7bo2bobobo5bobo20b
6o3bo107bo39b2o3bo$209bo8b2ob2o12bo2bo4bo22bo2b2obo110b2o38bo3b2o$219b
ob2o7b3o2bo4b2obo9b2o13bo4bo3bo104bo40bo3bobo$219bobo8b3o2bo2bobo3bo8b
obo10bo6bo4bo104bobo37bo$220b2o13b4o14bo11bo118bo42b5o$232bob4o2bo2b3o
10bo7b2o3bo116bo19bo17b2ob2o2b3o$232bob2o5b2o13b2o2b2obo2b3o115b3o9b3o
6b4o23bo$234b3o3bo19bo5bo117bo11bo7b2o4bobo13bo3bobob2o$239b2o19bobo3b
o119b3o8bo4b2o2bo3b4o13bo$238bo2bo16bob2o3bo122bo10b2o4bo4b4o14bob2o$
234b3o6b2o12b2ob2o126b3o9bob2obo$234b3ob3obo14bo2bo120b2o7bo16b2o$230b
o6bobo19bobo119bobo6b2o6bo2b2o$229b4o8bo2bo14bo2b2o117bo9b2o4b6o3bo8bo
4b3o8bobo$229bo2b2o150bo6b2o2b2o2b8o7b2o4bo7bob2obo$231bob2o6b2o141b2o
5bob3o11bo6bobo4bo5bobobo2bo$232bo151b2o5bob2o5bo3bo2bo18bo$233b2o148b
2o5b3o3bo3b2o2bo2bo6bobo3b3obobob2o3bo$379b2ob2o6bobo4bo2b2o3b7ob4o3b
2o7bo9bo$240b2o137bo4bo6bob2obo10b5o7bo5bo2bo9bo$239b2o138bob4o6b4o13b
2o7bobobo16b3o$241bo141b2o9bo24bo$243b2o138b2o7b2o$242bo140b2o4bo4bo$
235b3o147bo4bo3bo3bo$235bo5bo2bo139b2o4bobob3ob3o$236bo2b2o143bo6bob2o
3bo2bo$238bo3bo142bo8bo4b3o$239bobo151bobo2bobobo$241bo58b3o89b2ob2o$
238bobo59bo5b2obo69bo6bo3b3o3bo2bobo$238bob2o61b3o3bo68b2o5b3ob2o3bo6b
o$237bobo60bo3b3o3bo67bobo3bo2bo2bo6b4ob2o$237bo63bobo3bo76bobo2b2o2b
2o3b2ob2o$238bo4bo58bob2o75b2o2bo4bo5bo$240b3o61bo2b3o70b3o3bobobo2bo
2bo8bo$294b3o3b2ob3o5b2o67bobo2bo6bo13b2o$223b2o13b2o4bo49bo2b4o3bo2bo
3b2o72bo5bo3bo9b2o$223bobo12bo5bo50b2ob3o75b2ob3o6bobo4bo$223bo15b2o3b
o6bo42b3o4b3o2b4o66bo5bo4b2ob2obob2o12bo$226bo14bo8b2o22b2o11bo14bo3bo
bo67bo5bo4b2o4bob2o13b2o$226b2o14b2o6bobo9b3o8b2o11b6o12bo3b2o63b2obob
o14bo15b2o$226b2o34bo12bo10bo7b2o12b2o63bo6bo4b2o6bo$225b2o17b3o5b3o8b
o13bo9bo6bo8b2o68bo4bo6b2o5bo20bo$221b2ob2o19b2o4b3o11bo11b2o10bobo2bo
8b2o5bo63b2obobobo5bo4b2o20b2o$221bo4bo26bobo8b2ob3ob2o3b3o11bo4bo5bob
2o4b3o61bobo2b3o4b2o2bob2obob2o15b2o$221bob4o4b2o22b6o2bo5bo4b2o19b2o
3b3o6bobo61b2o3b2ob6o5bobo$225b2o3b2obo9b6o2bo3b7o6b2o2bobo20b2o3bobo
8b2o60b2o11bo6b2o2bo19bo$225b2o4bo11bo3b4o10b2o2b2o7b2o34b2o62bo4bobob
ob2o9b2o20b2o$225b2o4bobo10bo6bo13bo40b3o72bobobobo5bo3b3o17b2o$227bo
2b2obo15b2o15bo39bo2bo64b2o5bo5b2o3b3obo$226b2o21b2o57bo64b2o12bobobob
o5bo21bo$226bo4bo3bo15bob3o51b2o3b2o57b2ob2o15bobob2obo23b2o$227bo4bo
4bo9bo2bo4bo51b2o3bobo55b2ob3o7bob2o6bo2bo5bo18b2o$233bobo2bo7b5o4b3o
49b3o2bo59bo9b4o9bobobob2o$234bo3bobo5bo2b2o4bo2bo53bo59bo9bobo7bobo2b
obobobo21bo$242bo13bobo50bob2ob3o55bo21bo2bo3bo24b2o$239bo2bo5b2o6b2o
5b2o46b2o5bo64b3o9b2o5b2o21b2o$243bo2b4o2b2o9b2o45b3o6bo47bo14b7o6b2ob
2o$230bo8b2o3bo4b2ob3o61bobo47b9o5b2o4b2o8b2o31bo$229b2o8b2o2b2o4bo3b
2o52b2o3bob2o50bo5b3o5bo17b3o18b3o8b2o$229bobo2b3o10bobo2bo53b2obo59bo
2bo5bobo10b2o2bo23bo9b2o$233b5o4bo8b2o54bo54b2ob2o2bo7b3ob2obo5bo4bo5b
2o17bo$233bo4b2ob2o2bo2b2ob3o10b2o41bo2bo51bo5bo8bo11bo3bob2o5b2o18b2o
9bo$231b2o4bobo4bo7bobo9b2o41bo3bo50bo4b2o7bobo10bo11b2o20bo3b2o5b2o$
230b2o16bo58bo2bo53bo12b2o9bo6b2o5bo23b2o4b3o$230bob2o14bobo3b2o107bo
2b2o8bob2o8bob2o37b2o$248bob4obobo15b2o88bo14b2o7bo2bobobo5bobo20b6o$
231bobo13bobo7bo15b2o27b2obo2b3o55bo8b2ob2o12bo2bo4bo22bo2b2obo4b2o$
231b2o7b3o59bob2o2bo2b3o62bob2o7b3o2bo4b2obo9b2o13bo4bo3b2o$231bobo6bo
9b2o4b3o43bob2o6b2o62bobo8b3o2bo2bobo3bo8bobo10bo6bo$228b2o11bo2b5ob2o
2b2o47bo73b2o13b4o14bo11bo$221b2o4bo15bo5b2o2b2o48b2o84bob4o2bo2b3o10b
o7b2o3bo$220b2o5bo2bo13b2o4bo23b2o27b2o84bob2o5b2o13b2o2b2obo2b3o$222b
o4bobo11bo6bobobo21b2o19b2obo3b3o7b2o77b3o3bo19bo5bo$224b2o14b2o5b3ob
2ob5o36bo3bo2bo2bo5b2o83b2o19bobo3bo$218b2o4bo3bo11bobo3b2o6b5o36bo4bo
4b2o5b2o81bo2bo16bob2o3bo16bo$217b2o3b2o2bo17bo3bob2obo3bo3bo35bobo2bo
2bo3b3o79b3o6b2o12b2ob2o19bo$219bo3bo19bo5b3obob2obo2bo35b2ob4o3bob3o
79b3ob3obo14bo2bo20b3o$221bo21bo6bo3bo2b2obobo34b2obobo84bo6bobo19bobo
$221bo26b2o7bob2o35bobo6b2o8b2o69b4o8bo2bo14bo2b2o$222b2o34b3o35bo2bob
obobo9bo2b3o60b2o3bo2b2o$247b3o7bobo41bo3b4o6bob4o60bobo4bob2o6b2o$
256b4o24b2o10b2o3bo3bob2o2b2o3bo3bobo58bobo5bo$245b2ob2o3bo3bo2bo23b2o
12bo11b2o2bo9bo57b3o5b2o$245b2o5b2o3b2obo41b2o7b4o7b3o57bobo$244b2o6bo
bo4b2o41b2o9bo4b7obo55b3o$240b2ob2o11b2o35b2o23bo13bo49b2o$240bo4bo10b
2obobo31b2o24bo2bo3bo4b2o50bo$240bob4o12bob2o60bo3bo4bobo49b2o$244b2o
14bo61bo2bo7bo48bo$244b2o12bobobo71bo48bobo$244b2o11b6o60bobo5bob2o49b
o$246bo10bob2o33b2o28bo7bo53bo19bo$245b2o7b2obo36b2o88b3o9b3o6b4o$245b
o8bob3o74b2obo47bo11bo7b2o4bobo$246bo6bo2bo69b3o3b2o3bo48b3o8bo4b2o2bo
3b4o$253bobo47b2o21bo2b5o4bo49bo10b2o4bo4b4o$253bo49b2o22b2ob2o3b2o51b
3o9bob2obo$326b3o52b2o7bo16b2o$252b2o3bo123bobo6b2o6bo2b2o$252b2o3bo
79bo43bo9b2o4b6o3bo8bo4b3o8bobo$253bo65b3o4b2ob2o5b2o46bo6b2o2b2o2b8o
7b2o4bo7bob2obo$253bo50b2o13bo2b3o2b2o7bobo45b2o5bob3o11bo6bobo4bo5bob
obo2bo$254b2o48b2o15bo10bo51b2o5bob2o5bo3bo2bo18bo$320b2o5bo3b5o47b2o
5b3o3bo3b2o2bo2bo6bobo3b3obobob2o3bo$320b2o2b2o4bob2o45b2ob2o6bobo4bo
2b2o3b7ob4o3b2o7bo$313b2o5b2o3bo5b2ob2o43bo4bo6bob2obo10b5o7bo5bo2bo$
313b2o6bo3bo3b3o7b3o37bob4o6b4o13b2o7bobobo$323b3ob3obo7bo43b2o9bo24bo
$321b3o2bo6bob2o5b5o36b2o7b2o$300b3o19b2o9bob2o5b2ob3o35b2o4bo4bo$300b
o5b2obo17b2o8b3o2b2o3bo37bo4bo3bo3bo$303b3o3bo16bo8b2o6bo3b4o33b2o4bob
ob3ob3o$300bo3b3o3bo16b2o9b2o3bo2bo2b2o33bo6bob2o3bo2bo$301bobo3bo35bo
bo3b2o34bo8bo4b3o$302bob2o41bob3o41bobo2bobobo$304bo2b3o37bo44b2ob2o$
294b3o3b2ob3o5b2o34b4o28bo6bo3b3o3bo2bobo$294bo2b4o3bo2bo3b2o65b2o5b3o
b2o3bo6bo$295b2ob3o47b3o27bobo3bo2bo2bo6b4ob2o$294b3o4b3o2b4o74bobo2b
2o2b2o3b2ob2o$287bo14bo3bobo72b2o2bo4bo5bo$286b6o12bo3b2o70b3o3bobobo
2bo2bo8bo$286bo7b2o12b2o70bobo2bo6bo13b2o$287bo6bo8b2o80bo5bo3bo9b2o$
289bobo2bo8b2o5bo65b2ob3o6bobo4bo$290bo4bo5bob2o4b3o64bo5bo4b2ob2obob
2o12bo$295b2o3b3o6bobo64bo5bo4b2o4bob2o13b2o$295b2o3bobo8b2o60b2obobo
14bo15b2o$310b2o61bo6bo4b2o6bo$306b3o64bo4bo6b2o5bo20bo$306bo2bo64b2ob
obobo5bo4b2o20b2o$308bo64bobo2b3o4b2o2bob2obob2o15b2o$307b2o3b2o59b2o
3b2ob6o5bobo44bo$307b2o3bobo58b2o11bo6b2o2bo19bo20bo$307b3o2bo61bo4bob
obob2o9b2o20b2o18b3o$312bo68bobobobo5bo3b3o17b2o$309bob2ob3o57b2o5bo5b
2o3b3obo$311b2o5bo54b2o12bobobobo5bo21bo$310b3o6bo51b2ob2o15bobob2obo
23b2o$316bobo51b2ob3o7bob2o6bo2bo5bo18b2o$312bob2o56bo9b4o9bobobob2o$
327b3o42bo9bobo7bobo2bobobobo21bo$327bo44bo21bo2bo3bo24b2o$269b2o49b3o
6bo53b3o9b2o5b2o21b2o$269bobo48bo6bobo37bo14b7o6b2ob2o$269bo51bo4b2ob
4o33b9o5b2o4b2o8b2o31bo$270b2o51b4ob5ob2o30bo5b3o5bo17b3o18b3o8b2o$
270bo2bo50b2o7b2obo32bo2bo5bobo10b2o2bo23bo9b2o$270bo91b2ob2o2bo7b3ob
2obo5bo4bo5b2o17bo$272bobo87bo5bo8bo11bo3bob2o5b2o18b2o9bo$276bo85bo4b
2o7bobo10bo11b2o20bo3b2o5b2o$274bo2bo86bo12b2o9bo6b2o5bo23b2o4b3o$274b
o2bo85bo2b2o8bob2o8bob2o37b2o$276b3o84bo14b2o7bo2bobobo5bobo20b6o$272b
3ob3o87bo8b2ob2o12bo2bo4bo22bo2b2obo$268b3ob2o2b3o97bob2o7b3o2bo4b2obo
9b2o13bo4bo$268bo7b2o98bobo8b3o2bo2bobo3bo8bobo10bo6bo$269bo6b2o99b2o
13b4o14bo11bo$272b5o112bob4o2bo2b3o10bo7b2o3bo$274b2o113bob2o5b2o13b2o
2b2obo2b3o$273b2o116b3o3bo19bo5bo$273b2o121b2o19bobo3bo$272bobo120bo2b
o16bob2o3bo$271b2o118b3o6b2o12b2ob2o$271bobo117b3ob3obo14bo2bo$270bo
116bo6bobo19bobo$271b2o113b4o8bo2bo14bo2b2o$386bo2b2o$388bob2o6b2o$
389bo$390b2o2$397b2o$396b2o$398bo$400b2o$399bo$392b3o$392bo5bo2bo$393b
o2b2o$395bo3bo$396bobo$398bo58b3o$395bobo59bo5b2obo$395bob2o61b3o3bo$
394bobo60bo3b3o3bo$78bo315bo63bobo3bo$77b2o316bo4bo58bob2o$77bobo317b
3o61bo2b3o$451b3o3b2ob3o5b2o$80b2o298b2o13b2o4bo37bo11bo2b4o3bo2bo3b2o
$77bo2b2o298bobo12bo5bo36bo13b2ob3o$76b2o302bo15b2o3bo6bo29b3o10b3o4b
3o2b4o$76bob2o303bo14bo8b2o22b2o11bo14bo3bobo$79b2o302b2o14b2o6bobo9b
3o8b2o11b6o12bo3b2o$78bo304b2o34bo12bo10bo7b2o12b2o$75b6o301b2o17b3o5b
3o8bo13bo9bo6bo8b2o$73b2obobo299b2ob2o19b2o4b3o11bo11b2o10bobo2bo8b2o
5bo$72bo4bo300bo4bo26bobo8b2ob3ob2o3b3o11bo4bo5bob2o4b3o$71bo4bo2b2o
297bob4o4b2o22b6o2bo5bo4b2o19b2o3b3o6bobo$59b2o10bo2bo307b2o3b2obo9b6o
2bo3b7o6b2o2bobo20b2o3bobo8b2o$58b2o10bo4bo306b2o4bo11bo3b4o10b2o2b2o
7b2o34b2o$60bo5b2o2b2obo308b2o4bobo10bo6bo13bo40b3o$62b2ob2o3bobo311bo
2b2obo15b2o15bo39bo2bo$61bo5bob3o311b2o21b2o5bo51bo$67b2obo2bo15b2o
292bo4bo3bo15bo3b2o50b2o3b2o$42b2o7b3o2bobo3bo2bo2bobo2bo14b2o294bo4bo
4bo9bo2bo4bobo49b2o3bobo$41b2o8bo3bo4bo3b2o24bo299bobo2bo7b5o56b3o2bo$
27b3o13bo2b2o5bo2bo3bo3bobo25bo298bo3bobo5bo2b2o61bo$27bo9bo7bobo2bo2b
o2bo3bo30bobo305bo16bo49bob2ob3o$28bo6bo2bo6bo2bobo6bo32b2o304bo2bo5b
2o9bo51b2o5bo$30b2o2b2o3bo4b2obobo2b2ob2o2bobo2b3o23b2o308bo2b4o2b2o3b
2o5b2o44b3o6bo$31bo7b2ob2o3bob3o2b4o6bo25b3o294bo8b2o3bo4b2ob3o9b2o50b
obo$35bo6bobobo3bo4b2o8bo9b2o9b3ob2o294b2o8b2o2b2o4bo3b2o52b2o3bob2o$
31b2o3bo3b5obo3bo4bo14bo3b2o3bo5bo2bo297bobo2b3o10bobo2bo53b2obo$30bob
ob2o4b3o3bo5bob2o13b2o3bobob2o4bo305b5o4bo8b2o54bo$30bobo2bob2ob3o4bo
4bo3b2obob2o5b2obob2o9bo305bo4b2ob2o2bo2b2ob3o53bo2bo$29bo4b2o7bo2b2o
7bobo3b2o4b2o3b3o9b2o302b2o4bobo4bo7bobo10b2o40bo3bo$29b2o16bo12b2ob4o
12bo307b2o16bo16b2o40bo2bo$29b2o9b2o10bo11b2obo4b3o3bobob2o303bob2o14b
obo3b2o$35b2o2b4o8b2o11b2o6bo4b2o4b2o320bob4obobo$35bobobobo9bobo11b3o
5bob3o2bo2b2o5bo297bobo13bobo7bo16b2o26b2obo2b3o$38bob2o3b2o35bo6b2o
297b2o7b3o31b2o26bob2o2bo2b3o$34b3o2b2o4bobo3bo2b2o10bo7bo9bobo2bobo
296bobo6bo9b2o4b3o43bob2o6b2o$35bo4bo4bo3bobo14bo8bobo7b2ob2o295b2o11b
o2b5ob2o2b2o47bo$37b2o9b2o5bobo27bo4bo287b2o4bo15bo5b2o2b2o48b2o$35b5o
9bo9bob3o313b2o5bo2bo13b2o4bo52b2o$35bobo15bo3bo3b3o315bo4bobo11bo6bob
obo22b2o18b2obo3b3o7b2o$36bo2bo7b3o3bo5bo321b2o14b2o5b3ob2ob5o16b2o18b
o3bo2bo2bo5b2o$38b2o4b2o3bo11bo313b2o4bo3bo11bobo3b2o6b5o36bo4bo4b2o5b
2o$36b2ob2o3bo2bobob2o6bobo312b2o3b2o2bo17bo3bob2obo3bo3bo35bobo2bo2bo
3b3o$39b2o3bobo11b2o5b2o309bo3bo19bo5b3obob2obo2bo22b2o11b2ob4o3bob3o$
35bobobo11bo8bo4bobo310bo21bo6bo3bo2b2obobo21b2o11b2obobo$34b3o2bo11bo
8b3o2bo312bo26b2o7bob2o35bobo6b2o8b2o$34bo4bo2bo6bo14b2o313b2o34b3o35b
o2bobobobo9bo2b3o$42bo6bobo7b5o340b3o7bobo41bo3b4o6bob4o$39b2o7bo2bo9b
3o349b4o36b2o3bo3bob2o2b2o3bo3bobo$39b2o3bo4b2obo7bobo339b2ob2o3bo3bo
2bo24b2o11bo11b2o2bo9bo$39bo4bo2b2o12bo340b2o5b2o3b2obo24b2o15b2o7b4o
7b3o$40b2ob2obobo352b2o6bobo4b2o41b2o9bo4b7obo$42b2ob2ob2o137bo87bo
121b2ob2o11b2o60bo13bo$45b2obo17b2o118b2o86b2o121bo4bo10b2obobo32b2o
23bo2bo3bo4b2o$47bob2obo13bobo117bob3o83bob3o118bob4o12bob2o32b2o26bo
3bo4bobo$47b2obo2bo6b2o4bo123bo87bo122b2o14bo61bo2bo7bo$32bo6b3o3bo2bo
3bo7bobo4bobo115bo87bo127b2o12bobobo71bo$31b2o6bo4b3o2b2o9bo6b3o112b4o
bobobo78b4obobobo121b2o11b6o60bobo5bob2o$31bobo6bo3bo5bo12bo118bo5bo2b
o78bo5bo2bo123bo10bob2o63bo7bo$36bo7b2o4b2o11b2obo2bo113bo2b4o81bo2b4o
124b2o7b2obo37b2o$34bob2o6b8o14b4o112b2o2b2o82b2o2b2o126bo8bob3o36b2o
36b2obo$33b2o3b3o4b5o8b2o8bo2bo104b2o4b2o80b2o4b2o131bo6bo2bo69b3o3b2o
3bo$30b2o6b2o2bo5bo9bo2bo5bob3o104bo2bo2b2o80bo2bo2b2o138bobo70bo2b5o
4bo$29b2o5bo11bo9bo3b4ob3o96bo3bo4bo2b2o2bo2bo68bo3bo4bo2b2o2bo2bo136b
o50b2o21b2ob2o3b2o$24b2o5bobobo2bo4bo4bo11bo6bo97b5o2bobo4bo2bo70b5o2b
obo4bo2bo190b2o20b3o$19b2o2b2o8b2obob2o4bo16b5o3b3o93bo6b3o3bo4b2o68bo
6b3o3bo4b2o82b2o52b2o3bo$19bobo3bo5bo4bo2bo4bo17b2obobo95bobo2b4ob2o2b
o13b2o58bobo2b4ob2o2bo13b2o74bobo51b2o3bo79bo$19bo10bo3bo3b2o4bo21bo
95b3o3b2o17b3ob4o55b3o3b2o17b3ob4o72bo54bo65b3o4b2ob2o5b2o$20b2o4b3obo
3bo2b2o12bo110bo2b2ob2o15b2o8bo54bo2b2ob2o15b2o8bo40bo26b2o5bo51bo65bo
2b3o2b2o7bobo$20bo2bo4b2o2bo4bo2b2o7bo2bo6bobo81bo10b3o10bo2b2o13bo2bo
6bo35bo10b3o10bo2b2o13bo2bo6bo39b2o26bobo5bo51b2o49b2o14bo10bo$20bo7b
2obo16bo93b2o10bo6bo4b2o3bo14b2o42b2o10bo6bo4b2o3bo14b2o41bo5bobo25bo
4bobobo101b2o13b2o5bo3b5o$22bobob2o3bo3b3o9b2o69bo17bo5bobo10bo2b3ob2o
3bo4bo10b4o4b2o13bo17bo5bobo10bo2b3ob2o3bo4bo10b4o4b2o35b2o36bob2o119b
2o2b2o4bob2o$23b2ob3ob2o3b4o6b2o42b2o26b6o12b2o20bo4bo7b2obo8b2o2bo18b
6o12b2o20bo4bo7b2obo8b2o2bo41bobo3b2obobo26b3o120b2o3bo5b2ob2o$27bobo
5bobo7bob2o5bo33b2o3bo23bo7b2o8bobo3b2obobo11bobo2bo6bo3bo2b3ob3o21bo
7b2o8bobo3b2obobo11bobo2bo6bo3bo2b3ob3o48bo7b2o24bo116b2o5bo3bo3b3o7b
3o$22b2o5bobo5bo2bo7b3ob4o34bob2o24bo6bobo11bo7b2o8b3o9b2o6bo5bo22bo6b
obo11bo7b2o8b3o9b2o6bo5bo47bo4bo5b2o20b2o117b2o7b3ob3obo7bo$25b2o2b2o
6bo12b2o40b3o25bobo2bob5o6bo4bo5b2o5b2o12bo8bo3bo24bobo2bob5o6bo4bo5b
2o5b2o12bo8bo3bo47bo2bo2b6o20b2o125b3o2bo6bob2o5b5o$20b2o6b6o3bo3bo17b
4o29bo28bo6bo9bo2bo2b6o4b2o2b3o5b2o4b2o3bob2o28bo6bo9bo2bo2b6o4b2o2b3o
5b2o4b2o3bob2o81bo2b2o102b3o19b2o9bob2o5b2ob3o$20b2obo2b3o3bobo2bo13bo
42b3o32b2o23bo2b4o4b2o9b3o24b3o11b2o23bo2b4o4b2o9b3o24b3o44b3o10bo105b
o5b2obo17b2o8b3o2b2o3bo$21b4o2bob2o3bo5bob2o8b3o5b3o24b2obo4b2o35bo21b
3obo3bob2ob9o5bo8bob3o8bo16bo21b3obo3bob2ob9o5bo8bob3o8bo33b2o2b2o7bo
4b3o2b2o110b3o3bo16bo8b2o6bo3b4o$22b2o8bo5b3o12bo6b3o24bob2o3bobo35bob
o20bo6bobo8bo8b2o4b3o15bo13bobo20bo6bobo8bo8b2o4b3o15bo30bob4o8bo3bo2b
4o107bo3b3o3bo16b2o9b2o3bo2bo2b2o$23bo6b2o8bo14b3o2bo20b2o4bob2o3b3o
51bo5b2obobo4bo22b2o2b5o8bo2bo28bo5b2obobo4bo22b2o2b5o8bo2bo29bo4bobo
8bobobo112bobo3bo35bobo3b2o$27b2o8b2o2bo13bo2bobo19b2o6bo5b3o37bobob2o
b3o4b2o4bo2b2o3b2o11b2o9b2ob3o3bo2bo5bo3bo13bobob2ob3o4b2o4bo2b2o3b2o
11b2o9b2ob3o3bo2bo5bo3bo36bo6b3obobobo110bob2o41bob3o$21bobo3bobo6b6o
14bo11bo12bobo4b2o4bobo42bo4b2o2bobo5b6obo5b2o4bo9b2o3bo2b2o3bo2b2o2b
2o20bo4b2o2bobo5b6obo5b2o4bo9b2o3bo2b2o3bo2b2o2b2o37b3o126bo2b3o37bo$
20b2o5bob2o5bo5bo18bo5bobo11b3o4b2o2b2o42bo12b4obo5bob2ob3o2bo2bo3bo8b
o4b4o4b2o2bo20bo12b4obo5bob2ob3o2bo2bo3bo8bo4b4o4b2o2bo11b2o34bo2bo
108b3o3b2ob3o5b2o34b4o$20bobo9b2o6bobo17bobo3bo2bo11b2o6bobo54bo5b2o2b
obo5b3o4b3o2bob3o10bobo4bo2bobo30bo5b2o2bobo5b3o4b3o2bob3o10bobo4bo2bo
bo10b2o28bo118bo2b4o3bo2bo3b2o$16b2o4bo5b2o3bo7b2o18bo5b2o14bobo3b2o3b
o48bob4o5bobobo10b6o3b4o5b2o8bo5bo27bob4o5bobobo10b6o3b4o5b2o8bo5bo12b
o5b3o20bo6b2o110b2ob3o47b3o$16bobo3b2o4b2o59b4o45bo3b2o7b3o4bo3bobo4bo
bobo2bob2o3bo2b2o2bo3b3o4b2o23bo3b2o7b3o4bo3bobo4bobobo2bob2o3bo2b2o2b
o3b3o4b2o15bo3bo5b2o15bo7bo109b3o4b3o2b4o$16bo6b2o5b3o10bo41bobo42b2o
5b3o2bo9b3o9bo5b3o2b2o6b2o2bo10b3ob2o14b2o5b3o2bo9b3o9bo5b3o2b2o6b2o2b
o10b3ob2o6b2o5bo2bo2bo3b2obo14b3ob3o2b2o23bo76bo14bo3bobo$19bo7b2obobo
4b2o2b2ob2o41b4o38b2o5b3o3bo5bobo2bob2obo11b2o2b3ob3o3bo8b2o2b6o14b2o
5b3o3bo5bobo2bob2obo11b2o2b3ob3o3bo8b2o2b6o7bobo3b2obob3o3bob3o17b3o2b
2o4b2o3b3o10b2o75b6o12bo3b2o$19b2o7bob2o4b2o3b5o41b4o40bo4bo11b4o21bo
3bo2b3obo8b2ob2obobobobo13bo4bo11b4o21bo3bo2b3obo8b2ob2obobobobo4bo6b
4obo2b3o3bo15bo5b2o4b2o4bo12bobo74bo7b2o12b2o$28bobo7bo2bob2o43b2o43b
2o4bobo11bo20bo9b2o7bo2b2o3bo3bo15b2o4bobo11bo20bo9b2o7bo2b2o3bo3bo7bo
5bo5b2o4b2o15bo4b2o6bo4bo89bo6bo8b2o$27b2ob3o7b2ob2o88b2o5bobo6bo2b3o
25bo2bobo6b2ob3o3b2o18b2o5bobo6bo2b3o25bo2bobo6b2ob3o3b2o10b2o14bobobo
4b2o8b2ob2obo8bo4b2o7b2obobo75bobo2bo8b2o5bo$24b2o5b2o8bo71b2o19bo5bob
o7bo2bobobo19b4o4b2ob4obo2b2o24bo5bobo7bo2bobobo19b4o4b2ob4obo2b2o31bo
3b3ob2o11b2o10bobo4bo13b2o74bo4bo5bob2o4b3o$24b2o3bob3o7bo70b2obo20bo
2bo11bo5bo19bo3bo4bo2bo5bo28bo2bo11bo5bo19bo3bo4bo2bo5bo33bo3bo3b2o11b
o10b2o12bo3bo5b2o77b2o3b3o6bobo$23bobobobo11b2o70bo17b2o2bo2bo17b2o20b
obo5b2o31b2o2bo2bo17b2o20bobo5b2o46b2ob2o5b3o14b2o3b2o6b2obo2b6o78b2o
3bobo8b2o$22b2o2b2o15bo38b2o29bo2bo13b2o2bo2b2o2bo76b2o2bo2b2o2bo95bo
6bo4b2o6b2o2b3obo2bo3bo2b2o102b2o$21b3o2b3ob2o4b2o43bo2bo28bo3bo11bo3b
o4bo3bo18bo55bo3bo4bo3bo18bo85bo4bo2bob3o2b2obo2bobo2bo101b3o$21bo5b2o
b3o2b2o4b2ob2o36bobo28bo2bo12bo2b3o2b2obo18bobo55bo2b3o2b2obo18bobo77b
ob3o4bo2bobob2o2bobo4bo4bo103bo2bo$20b2ob2o5bo6bo2bo42bo46bo5bob3o3bo
15b2o56bo5bob3o3bo15b2o68b3o5b2o4bob2o2bobobo2b5o2b3o110bo$21bobo116bo
87bo89bo2b3o3b7o3b4o2bo2b2obo4bobobo105b2o3b2o$22bob2ob2ob3o5b2o2bo47b
2o16b2obo2b3o14b2o8bo23bo28bo24b2o8bo23bo28bo36bobo15bo2bo2bob3o2bo2b
2o8b3o10bob2o84b2o3bobo$22bo2b4ob3o7bo46b2o19bob2o2bo2b3o11bobo7bo21bo
bo27b2o24bobo7bo21bobo27b2o41bo19b3o3b4o2b2o5bo10b3ob2ob2o81b3o2bo$22b
ob2o57bo2b2o20bob2o6b2o14bo7b2o20b2o27bobo26bo7b2o20b2o27bobo38bo14bob
o4b2o4b2o2bo3bo5bo8b2o2bo2b2obo85bo$22bobobo4b2o49bo3b2o21bo21bo2bo7b
2o75bo2bo7b2o92bobo3b3o11b3o2b3obo3b2o7bo6bo92bob2ob3o$24bo5b2o49bo4bo
22b2o20bobo7b2o26bo26b2o21bobo7b2o26bo26b2o41bo2bo14bob4o2bo3bo3b2o2b
3o7bo92b2o5bo$18b3o2b2o6bo50bo6bo19b2o26b3ob3o23bobo26b2o2b3o22b3ob3o
23bobo26b2o2b3o33bo2bo3bo17b2o2bo5b2o3bobobob3o94b3o6bo$18bo66b3obo11b
2obo3b3o7b2o17bo5bo24b2o30b2obo21bo5bo24b2o30b2obo32bo2bo9bo10bo5bo2bo
6bo3bobo3bo98bobo$19bo5b5o55b2o14bo3bo2bo2bo5b2o19bo2b3o54bo4bo22bo2b
3o54bo4bo32bo2bo8bo20bo4bo2b3o5bo95bob2o$21b6o74bo4bo4b2o5b2o53bo23b3o
4bo56bo23b3o4bo64b2o3b4o3bo$22b4o48bo6b2o20bobo2bo2bo3b3o25bobo25bobo
23bo5bo27bobo25bobo23bo5bo33bobo29bo6bo2b2o$22b2o2b5o42b5o3b2o20b2ob4o
3bob3o24b3o27b2o10b2o12bobo2b2o25b3o27b2o10b2o12bobo2b2o27b2o5bo29bo
12b2o$8b2o12b3o4b3o41bo2b2o16b2o7b2obobo28b2ob2o3bo37b2o40b2ob2o3bo37b
2o46b2o$7b2o13b2o7b3o41b2obo16bo6bobo6b2o8b2o13b2o5bo33bo7bo9b3o26b2o
5bo33bo7bo9b3o35bo2b2o11b2o$9bo11bo7bo3bo68bo2bobobobo9bo2b3o11bob3o
32bobo9b2o6b2ob2o26bob3o32bobo9b2o6b2ob2o35b2o2b2o8b2o4b2o$11b2o9bo3b
2o50bobo26bo3b4o6bob4o49b2o9b2o2b2o2bob3o64b2o9b2o2b2o2bob3o35b2o2bo
15b2o$10bo12bo2b2o2bo71b2o3bo3bob2o2b2o3bo3bobo61b2obo2b2o80b2obo2b2o
39bo$20b4ob2o2b2o49b3o21bo11b2o2bo9bo9b3o38bo9bo4b2o30b3o38bo9bo4b2o
37b2obo$9bo2bo7bo5bobo52b3o24b2o7b4o7b3o9bo38bobo6b2o3bo34bo38bobo6b2o
3bo42bobo$b2o5b2o2bobo4bo2bo3bo51b6o11bo12b2o9bo4b7obo6bob2o37b2o6b2o
37bob2o37b2o6b2o46bo114bo$2o5bo5bobo2bob2o5bob2o60bo3bo28bo13b2obo46bo
37b2obo46bo48bo112bo$2bo4bobo4b3ob4o10bo48bo10bo2bo29bo2bo3bo5b5o42bo
3b2ob2o32b5o42bo3b2ob2o43bo112b3o$4b2o2bo9b2o8bo3bo48bo10b2ob2o31bo3bo
4bo2bo42bobo5bobo31bo2bo42bobo5bobo37b2o6bo$4b2o10b3o9b2o51bo11bobo32b
o2bo5b3o44b2o39b3o44b2o45bobo3bobo19b2o88bo$17b2o10bobobo60bo44bo48bo
38bo48bo42bo4b2obo19b2o4b2o80bobo17b3o$27bobo3bo41b3o3b2o46bobo6bo50b
2o35bo50b2o43bob2o27b2o81b2o17bo9b2o$26b2o5bo2b2o37bo54bo7bo48bobo2b2o
32bo48bobo44bo2bo130bo6b3obo$26bo2bo2bo3b2o38bo2b2o107b2o2b2o82b2o44bo
bo133b2o2b2o$23b3o4b2o4bo42b2ob2o375bo$23bo13bo36bo4bo383bo$24bo10b2o
36b4ob2o63b2o56b2o56b2o56b2o114b2o24b2o3bo$29b2o4b3o35bo70b2o56b2o56b
2o56b2o114b2o22bobob2o$28b2o6b2o36b2o3bo63bo57bo57bo57bo115bo24bobo2bo
b2o$30bo2bo39b6o278b2o98bo4b2o$32b3o29b2o6b2o283b2o4b2o92b2o$32b2o30bo
bo3b2o2bo244b3o41b2o36b3o53b2o$24b2o5b2o31bo5b3o246bo81bo$23b2o6b2o34b
o252bo81bo$25bo2b2ob2o34b2o18bo231b3o79b3o$27b2o57b5o228b3ob2o76b3ob2o
$27b2o57bo2b2o$88b2obo$322bo81bo$91bobo221b2obo2b5o28bo12b2o28b2obo2b
5o$314b2o3bobob2obo26b2o12b2o4b2o21b2o3bobob2obo$84b3o6b3o219bo2bo5bob
o26bob5obo11b2o22bo2bo5bobo$79bo4bo2b3o4b3o218bo2bo37bo3b4o33bo2bo$78b
2o5b2ob5ob3o218bo39bo3bo37bo$78bobo3b3o4b2ob2o222bo35b3o43bo$90bobo
215b2o5bo2bo5b3o28bob4o29b2o5bo2bo5b3o$80b3o6bo2bo214b2o3bob2o2b2o4bo
23bo5b2o3bobo27b2o3bob2o2b2o4bo$79b3o7bo219bob4o2b3o6bo20b5ob2obob3o2b
3o25bob4o2b3o6bo$81bobob4o2bo217b2obo2b4o2b2o24bo8b3o5b2o25b2obo2b4o2b
2o$83b2ob2o221bo3bo2bo4b2obo30b2o2bo17b2o12bo3bo2bo4b2obo$83b6o220bo3b
ob2o2bo3bo23bob2ob5o2bob2o14b2o4b2o6bo3bob2o2bo3bo$309bobob3ob3o8b2o2b
o6b2ob2o4bo5b2o2b2o23b2o6bobob3ob3o8b2o2bo$310bo2bobo11b2o4bo5bob3o48b
o2bobo11b2o4bo$309b2o3bo3bo2bo6bobo8bo2b2o3b2o7b2o3b2o28b2o3bo3bo2bo6b
obo$310bo7bo2b5o2b4ob2o11b2o8b2o4bo29bo7bo2b5o2b4ob2o$310bo4bo7bo3b2o
5b2obo5bo3b2o9bo3b3o27bo4bo7bo3b2o5b2obo$315b2o6b2o2bo4b2o9bo3b3o3b2o
2bo4bobo32b2o6b2o2bo4b2o$315b2o9b2o3b4o2b2o8bo5bo8bo34b2o9b2o3b4o2b2o$
331bo6bo9b2o3bobo9bo47bo6bo$360bo2b3o21b2o$334b3ob2o19b5o23b2o27b3ob2o
$359bo2bo$337bo23b2o56bo$337bo24bo2b2o52bo$337bo21bo4b2o15b2o2bo33bo$
360bobob2o14b2o5bo$362b2obo2bo12bobo3b4o$363bo4bo12b2ob4o$368bo12b3o4b
obo$363bobo4b3o12bo$365b2obo16b5o$368bo6b2obo2b2o2b2o2bo2bo$374b2o3bob
3o4b4obo$375bo2bo3b2o4b2o$375bo2bo2b2o3b3o$375bo9bo$366b3o14bo4bo$366b
o2b4obo8bo4b2o$367b3ob4obo$369b3o2bobo6b2obo4bo$383bo5b2o$376bo3b3o6bo
2bo$375b2o3bo10bo$381bo8b2o$387b2o$386b2o$388bobo$388b2o3bo$388bo3b2o$
388bo3bobo$388bo$392b5o$389b2ob2o2b3o$397bo$391bo3bobob2o$392bo$393bob
2o!

I know that it can be simplified to a much smaller period (and a have a smaller population/BB), and I will be working on that soon. However, I'm going to leave this monstrous creation out here for now.

EDIT: Much better GPSE breeder:

Code: Select all

x = 358, y = 430, rule = B3/S23
119b3o$119bo$120bo$122b2o$123bo2$120b2o$112b3o5b2o$112bo6bobo$113bo4b
2o$115b4obo$116b2o$120bo$119bobo$120bobo$87b2o$86b2o32bo2b2o$88bo18bo
12bo2b2o$67b2o21b2o14b2o13bo$66b2o3bo6bo5b2o3bo16bobo9bob2o$68bob2o5b
2o5b2o12b3o12bobob2obo$70b3o3bo2bob2o3b2o3bo4b2o3bob2o4b2obo2bobobo$
70bo4b5o7bo7bo2bobo2bo6bo2bo2bo12bo$65b3o4b2o2bo5b2o3bo2bo3bo5bobob4o
5b2obo11b2o6b3o$65bo7b4obo10bo3b2obo8bo3b2o2b2o13bobo5bo$66bo6bo2bobo
22bobobo3bo2b3o2b2o18bo$22bo45b3o2bo4bobo2b2o4bo3b3ob2o3bo6bo2b2o2b2ob
2o4b3o11b2o$21b2o50bo3bo4b2o2bobobob3o2bo3bo5bo4b2obo2bob3o2bo12b2o$
21bobo7b2o38b2o3bo2b3o2b3o4bo4bo4bo7bo2bob4o2bob2ob3o3b3o$28b2obo31b3o
3bob4obo3b2o3bo3b3o2bo10bo3bo2bo3bo3bobo3bo4bo5bo$24b2o2b2o28b2o3bo4b
3o5bo9b3o4bo3b5ob3o6bo8b2ob2ob2o3bo4bo$24b2o2b2o28bobo5bob2o8b3o4b2obo
4bo4bob2o5bo5bo8b3ob2obo4bo2bo$25b2o31bo3bo3bobo9b2o5bo4bo2bo2bo17bo9b
2o7b3o2bobo$25b4obo5bo9b2o13b2o3b4o8b2o15bo18bo$24bobob2obo2b3o2b2o5bo
bo12bo11b2o$23b2o8b2obo2bo2bobo15b5ob2o3bobo9b2o12b3o26b2ob4o2bo$23b2o
3b3o3bo5bo3bob2o15b2ob2o2bo3bo8bobo3b3o5bo29bo3bo$23bo10bo2bobo23bob2o
b2o3bob5o3bo5bo8bo29bo$24b3o9bo2b9o2b2o6bo4bo4bo4bob6o2bobo4bo9b3o$28b
2o2b2ob2obo2bo6bob2o5b2o3bob2o4bo5b2o3bobobo6bo$28b2o3b2o5bo5bo5bo4bob
o3b8o11bo2b2o4b4o4b2obo$19b3o3b2o20b5o2bo9b6o8bo5b2o2b3o4b2ob4o$19bo4b
o2bo2bobo16b4o7bo8b2o8b2o11b2o$20bo6b5o11b2o8bo2bobo2bo6b4o16bo2bo5b3o
$23bobo2b3o5b2o4b2obo11b2o2bo6bo20b2o$22b2o4b3o4b2o5bo10b2o6bo5b2o2bo$
21b2ob3o10bo3b3o8b2obo3bobo5b2obo$31b2o9bo7bob2o2b2o3bo2bo6bo$24b3o11b
2o3bo4b2o7b2o2bo2bobob2obo4bo$23bo4bo8b2obobo3bob2o4bob2o2b2o3bo4b2o3b
obo$20bob2o3bo5b2o2b7o2bo2bo6bo3bo15bo$19b4ob5o4bobo3b4o3bo8bobo17b3o$
19bobo3b2obobo2bo16b2o4bo18b2o$27b2obo5bo44b2o$25bo2bo7b3o39b3obo$19b
3o2b2o3b2o7bo29b2o6b2o2b2o2b2o$20b2obo2bo11b2o28b3ob2o4bo3bo$20b2obo5b
o9b2o22b2o6bo2bo5b4o$13b3o4b2o4bo2bo9bobob3o2b2o12b2o8b2o5bo3bo$13bo7b
obobo4b2o9b2o4bo3bo5b2o4bobo15b2o$14bo14b2o9bobo2bo5bo4b2o5b2obo14bo$
16b3o2bobo15b2obo2bo2b3o7bo5bobo$17b3o10bo8bo7bo12b2o2bobo$19b2o4bo5b
2o27b4o2bo16bo51b2o$20bobob2o7b2obo8b3o14b2o2b2o14bobo49b2o$15b3o4bobo
bo3bo3bobo7b2o2bo6b2o6bo4bo12bo2bo51bo$15bo14bobobobo9bo7b2o3b3ob2o3bo
13b2o54b2o$18b2o11b3o22bob4o2bobo70bo$15bo2b2o8b2o2bo31bo$18bo9bo3bo
25bo3bo2bobo68bo2bo$13bob2o11bo29bo3bo4bo67b2o$12b3o3bo11bo2bo29bo70bo
$11b3obo3bo9b4obo76b2o17b2o2bobo$10b4obo2bo13bo2bo75bobo16bobo2bo$11bo
14b3o5b3o74bo14bo3bobo$5b2obobob2o12bo8b3o74b2o11b2o4b2o$2o3bo4bo18bo
6b2o74bo2bo9bobo3b2o$obo2bo20bo2bo2b3o77bo17b3o14b2obo$o6b3obobo13bo4b
o62bo12b2o4bobob3o7bo3bo14bo3bo$3bo3b2o3bo15bo3b3o59bobo11b2o12bo4b2o
2bo15bo4bo$3b2o28b2o46b3o10bo2bo6bo11bo9bo22b2o$33bo47bo2b3o8b2o7b2o
11b4ob2ob4o22bobo$33b3o46bobo21bo20b2o$29bo2bo4bo49bo16b3o39bo6b2o$28b
3o6bo47bo16bo42b5o4bo2bo$27b2o9bo48bobo11b2ob2o33b2o4bo6b2o$26b2o7b2o
43b2obo6bo10b2obo34bobo11bo$27bo51b2o3bo2bo2bo10b2obo34bo5bob2o6bobo$
18b3o14b2obo34b3o4bo2bo2bo3bo10bo2bo35b2o4bo4bobo$18bo8bo7bo2bo34bo6bo
2bo2bo3bo10bo2bo9b2o24bo2bo6b3o$19bo2b5o8bobo38bo3bo6bobo10b2ob2o8bo2b
2o22bo6b2ob2o$21bo51bo2bo8b2o14bobo8b3o2bo24bobobo2bo$22b2o50bo2bo6b3o
25bo4bo$75bo5bo3bo26b5o27bo4bo$77bobob2obo28b2o30b4o$79b2o$83bo2$80bo
2bo8$162b3o$162bo$163bo$162b3o$162b3ob2o3$165bo$158b2obo2b5o$157b2o3bo
bob2obo$158bo2bo5bobo$158bo2bo$158bo$161bo$139b2o10b2o5bo2bo5b3o$139b
2o9b2o3bob2o2b2o4bo$152bob4o2b3o6bo$152b2obo2b4o2b2o$152bo3bo2bo4b2obo
$152bo3bob2o2bo3bo$152bobob3ob3o8b2o2bo$153bo2bobo11b2o4bo$152b2o3bo3b
o2bo6bobo$153bo7bo2b5o2b4ob2o$153bo4bo7bo3b2o5b2obo$158b2o6b2o2bo4b2o$
158b2o9b2o3b4o2b2o$174bo6bo2$177b3ob2o2$131bo48bo$130bo49bo$130b3o47bo
18$294b3o$294bo$295bo$297b2o$298bo2$295b2o$287b3o5b2o$287bo6bobo$288bo
4b2o$290b4obo$291b2o$295bo$294bobo$295bobo$262b2o$261b2o32bo2b2o$263bo
18bo12bo2b2o$242b2o21b2o14b2o13bo$241b2o3bo6bo5b2o3bo16bobo9bob2o$243b
ob2o5b2o5b2o12b3o12bobob2obo$245b3o3bo2bob2o3b2o3bo4b2o3bob2o4b2obo2bo
bobo$245bo4b5o7bo7bo2bobo2bo6bo2bo2bo12bo$240b3o4b2o2bo5b2o3bo2bo3bo5b
obob4o5b2obo11b2o6b3o$240bo7b4obo10bo3b2obo8bo3b2o2b2o13bobo5bo$241bo
6bo2bobo22bobobo3bo2b3o2b2o18bo$176b3o18bo45b3o2bo4bobo2b2o4bo3b3ob2o
3bo6bo2b2o2b2ob2o4b3o11b2o$176bo19b2o50bo3bo4b2o2bobobob3o2bo3bo5bo4b
2obo2bob3o2bo12b2o$118b2o49b3o6bo17bobo7b2o38b2o3bo2b3o2b3o4bo4bo4bo7b
o2bob4o2bob2ob3o3b3o$118bobo48bo6bobo24b2obo31b3o3bob4obo3b2o3bo3b3o2b
o10bo3bo2bo3bo3bobo3bo4bo5bo$118bo51bo4b2ob4o17b2o2b2o28b2o3bo4b3o5bo
9b3o4bo3b5ob3o6bo8b2ob2ob2o3bo4bo$119b2o51b4ob5ob2o14b2o2b2o28bobo5bob
2o8b3o4b2obo4bo4bob2o5bo5bo8b3ob2obo4bo2bo$119bo2bo50b2o7b2obo14b2o31b
o3bo3bobo9b2o5bo4bo2bo2bo17bo9b2o7b3o2bobo$119bo80b4obo5bo9b2o13b2o3b
4o8b2o15bo18bo$121bobo75bobob2obo2b3o2b2o5bobo12bo11b2o$125bo72b2o8b2o
bo2bo2bobo15b5ob2o3bobo9b2o12b3o26b2ob4o2bo$123bo2bo71b2o3b3o3bo5bo3bo
b2o15b2ob2o2bo3bo8bobo3b3o5bo29bo3bo$123bo2bo4bo66bo10bo2bobo23bob2ob
2o3bob5o3bo5bo8bo29bo$125b3o2b2o67b3o9bo2b9o2b2o6bo4bo4bo4bob6o2bobo4b
o9b3o$121b3ob3obo73b2o2b2ob2obo2bo6bob2o5b2o3bob2o4bo5b2o3bobobo6bo$
117b3ob2o2b3o2b2o53bo2bo14b2o3b2o5bo5bo5bo4bobo3b8o11bo2b2o4b4o4b2obo$
117bo7b2o4bo53b4o5b3o3b2o20b5o2bo9b5o9bo5b2o2b3o4b2ob4o$118bo6b2o58bo
2bo5bo4bo2bo2bobo16b4o7bo18b2o11b2o$121b5o69bo6b5o11b2o8bo2bobo2bo26bo
2bo5b3o$123b2o73bobo2b3o5b2o4b2obo11b2o2bo10bobo14b2o$122b2o73b2o4b3o
4b2o5bo10b2o6bo5b2o3bobo$122b2o72b2ob3o10bo3b3o8b2obo3bobo13bo$121bobo
82b2o9bo7bob2o2b2o3bo2b2ob2o3bob2ob2o$120b2o77b3o11b2o3bo4b2o7b2o2bo4b
o5bo$120bobo75bo4bo8b2obobo3bob2o4bob2o2b2o12bo3b2o$119bo75bob2o3bo5b
2o2b7o2bo2bo6bo3bo13bo2bob3o$120b2o72b4ob5o4bobo3b4o3bo8bobo17bobo2b2o
$194bobo3b2obobo2bo16b2o4bo8b2ob2o5b2o2b3o$202b2obo5bo28b2ob2o7bobo$
200bo2bo7b3o27bobo$194b3o2b2o3b2o7bo28bo$195b2obo2bo11b2o46b2o$195b2ob
o5bo9b2o22b2o21b2o$188b3o4b2o4bo2bo9bobob3o2b2o12b2o$188bo7bobobo4b2o
9b2o4bo3bo5b2o4bobo$189bo14b2o9bobo2bo5bo4b2o5b2obo$191b3o2bobo15b2obo
2bo2b3o7bo5bobo18bo$192b3o10bo8bo7bo12b2o2bobo15bo3bo$194b2o4bo5b2o27b
4o2bo14bo4bo48b2o$195bobob2o7b2obo8b3o14b2o2b2o13bo3b2o47b2o$190b3o4bo
bobo3bo3bobo7b2o2bo6b2o6bo4bo12bo3bo50bo$190bo14bobobobo9bo7b2o3b3ob2o
3bo13bo55b2o$193b2o11b3o22bob4o2bobo70bo$190bo2b2o8b2o2bo31bo$193bo9bo
3bo25bo3bo2bobo68bo2bo$188bob2o11bo29bo3bo4bo22bo44b2o$187b3o3bo11bo2b
o29bo25bobo42bo$186b3obo3bo9b4obo53bo2bo19b2o17b2o2bobo$185b4obo2bo13b
o2bo53b2o20bobo16bobo2bo$186bo14b3o5b3o74bo14bo3bobo$180b2obobob2o12bo
8b3o74b2o11b2o4b2o$175b2o3bo4bo18bo6b2o74bo2bo9bobo3b2o$175bobo2bo20bo
2bo2b3o77bo17b3o14b2obo$175bo6b3obobo13bo4bo81bobob3o7bo3bo14bo3bo$
178bo3b2o3bo15bo3b3o87bo4b2o2bo15bo4bo$178b2o28b2o46b3o32bo9bo22b2o$
208bo47bo2b3o30b4ob2ob4o22bobo$208b3o46bobo42b2o$204bo2bo4bo49bo58bo6b
2o$203b3o6bo47bo59b5o4bo2bo$202b2o9bo48bobo12bo9bo26b2o4bo6b2o$201b2o
7b2o43b2obo6bo10bobo7b3o25bobo11bo$202bo51b2o3bo2bo2bo10bo2bo5b2obo25b
o5bob2o6bobo$193b3o14b2obo34b3o4bo2bo2bo3bo11b2o4b2o5bo24b2o4bo4bobo$
167bo25bo8bo7bo2bo34bo6bo2bo2bo3bo16b3o3bo26bo2bo6b3o$166b2o26bo2b5o8b
obo38bo3bo6bobo16bobo4b3o24bo6b2ob2o$166bobo27bo51bo2bo8b2o19bob2o32bo
bobo2bo$197b2o50bo2bo6b3o20bo$169b2o79bo5bo3bo58bo4bo$166bo2b2o81bobob
2obo43bo3bo12b4o$165b2o87b2o45bo2bob3o$165bob2o89bo45bobobo$168b2o18bo
113bo$167bo18bobo66bo2bo33b2o7b2o$164b6o17b2o103b2o8bobo3bo$162b2obobo
134bobo$161bo4bo$160bo4bo2b2o$148b2o10bo2bo$147b2o10bo4bo$149bo5b2o2b
2obo$151b2ob2o3bobo175b3o$150bo5bob3o176bo$156b2obo2bo15b2o158bo$131b
2o7b3o2bobo3bo2bo2bobo2bo14b2o158b3o$130b2o8bo3bo4bo3b2o24bo157b3ob2o$
116b3o13bo2b2o5bo2bo3bo3bobo25bo$116bo9bo7bobo2bo2bo2bo3bo30bobo$117bo
6bo2bo6bo2bobo6bo32b2o159bo$119b2o2b2o3bo4b2obobo2b2ob2o2bobo2b3o23b2o
152b2obo2b5o$120bo7b2ob2o3bob3o2b4o6bo25b3o150b2o3bobob2obo$124bo6bobo
bo3bo4b2o8bo9b2o9b3ob2o152bo2bo5bobo$120b2o3bo3b5obo3bo4bo14bo3b2o3bo
5bo2bo155bo2bo$119bobob2o4b3o3bo5bob2o13b2o3bobob2o4bo159bo$119bobo2bo
b2ob3o4bo4bo3b2obob2o5b2obob2o9bo162bo$118bo4b2o7bo2b2o7bobo3b2o4b2o3b
3o9b2o151b2o5bo2bo5b3o$118b2o16bo12b2ob4o12bo156b2o3bob2o2b2o4bo$118b
2o9b2o10bo11b2obo4b3o3bobob2o154bob4o2b3o6bo$124b2o2b4o8b2o11b2o6bo4b
2o4b2o153b2obo2b4o2b2o$124bobobobo9bobo11b3o5bob3o2bo2b2o5bo147bo3bo2b
o4b2obo$127bob2o3b2o35bo6b2o147bo3bob2o2bo3bo$123b3o2b2o4bobo3bo2b2o
10bo7bo9bobo2bobo146bobob3ob3o8b2o2bo$124bo4bo4bo3bobo14bo8bobo7b2ob2o
142b2o5bo2bobo11b2o4bo$126b2o9b2o5bobo27bo4bo141b2o4b2o3bo3bo2bo6bobo$
124b5o9bo9bob3o175bo7bo2b5o2b4ob2o$124bobo15bo3bo3b3o175bo4bo7bo3b2o5b
2obo$125bo2bo7b3o3bo5bo184b2o6b2o2bo4b2o$127b2o4b2o3bo11bo182b2o9b2o3b
4o2b2o$125b2ob2o3bo2bobob2o6bobo198bo6bo$128b2o3bobo11b2o5b2o$124bobob
o11bo8bo4bobo195b3ob2o$123b3o2bo11bo8b3o2bo$123bo4bo2bo6bo14b2o200bo$
131bo6bobo7b5o202bo$128b2o7bo2bo9b3o202bo$128b2o3bo4b2obo7bobo$128bo4b
o2b2o12bo$129b2ob2obobo$131b2ob2ob2o$134b2obo17b2o$136bob2obo13bobo$
136b2obo2bo6b2o4bo$121bo6b3o3bo2bo3bo7bobo4bobo$120b2o6bo4b3o2b2o9bo6b
3o$120bobo6bo3bo5bo12bo$125bo7b2o4b2o11b2obo2bo$123bob2o6b8o14b4o147bo
$122b2o3b3o4b5o8b2o8bo2bo144bo$119b2o6b2o2bo15bo2bo5bob3o144b3o$118b2o
5bo21bo3b4ob3o$113b2o5bobobo2bo4bo4b2o3bobo4bo6bo89bo$108b2o2b2o8b2obo
b2o3bo3b3o3bobo5b5o3b3o83bobo$108bobo3bo5bo4bo2bo3bo4b2o6bo5b2obobo88b
2o$108bo10bo3bo3b2o13bobo10bo$109b2o4b3obo3bo2b2o14bobo$109bo2bo4b2o2b
o4bo2b2o$109bo7b2obo$111bobob2o3bo3b3o$112b2ob3ob2o3b4o9bobo38b2o$116b
obo5bobo8bob2ob2o35b2o3bo$111b2o5bobo5bo2bo5b4ob3o36bob2o$114b2o2b2o6b
o9b2o2bo2bo37b3o$109b2o6b6o3bo3bo7bob3o38bo$109b2obo2b3o3bobo2bo12bo3b
o39b3o$110b4o2bob2o3bo5bob2o5b2o2b2o32b2obo4b2o$111b2o8bo5b3o24bo21bob
2o3bobo$112bo6b2o8bo10bobo10b3o14b2o4bob2o3b3o$116b2o8b2o2bo10bo11b3o
13b2o6bo5b3o$110bobo3bobo6b6o39bobo4b2o4bobo$109b2o5bob2o5bo5bo38b3o4b
2o2b2o$109bobo9b2o6bobo20bob2o14b2o6bobo$105b2o4bo5b2o3bo7b2o14b2o4b4o
16bobo3b2o3bo$105bobo3b2o4b2o27b2o5bo24b4o$105bo6b2o5b3o10bo29bo11bobo
$108bo7b2obobo4b2o2b2ob2o26bobo12b4o$108b2o7bob2o4b2o3b5o25bo2bo12b4o$
117bobo7bo2bob2o27b2o14b2o$116b2ob3o7b2ob2o$113b2o5b2o8bo$113b2o3bob3o
7bo$112bobobobo11b2o$111b2o2b2o15bo$110b3o2b3ob2o4b2o$110bo5b2ob3o2b2o
4b2ob2o$109b2ob2o5bo6bo2bo$110bobo$111bob2ob2ob3o5b2o2bo44b2o$111bo2b
4ob3o7bo45bo2bo$111bob2o61bobo$111bobobo4b2o55bo$113bo5b2o$107b3o2b2o
6bo59b2o$107bo70bo3bo$108bo5b5o62b2o$110b6o61bo3bo$111b4o48bo12b2o$
111b2o2b5o42b5o8bobo$97b2o12b3o4b3o41bo2b2o8bo2bo$96b2o13b2o7b3o41b2ob
o7b3ob2o$98bo11bo7bo3bo54b2ob2o$100b2o9bo3b2o50bobo9bo$99bo12bo2b2o2bo
$109b4ob2o2b2o49b3o16b2o$98bo2bo7bo5bobo52b3o15b2o$90b2o5b2o2bobo4bo2b
o3bo51b6o133bo$89b2o5bo5bobo2bob2o5bob2o185bo$91bo4bobo4b3ob4o10bo48bo
134b3o$93b2o2bo9b2o8bo3bo48bo$93b2o10b3o9b2o51bo133bo$106b2o10bobobo
179bobo17b3o$116bobo3bo41b3o3b2o131b2o17bo9b2o$115b2o5bo2b2o37bo22b2o
134bo6b3obo$115bo2bo2bo3b2o38bo2b2o17b3o135b2o2b2o$112b3o4b2o4bo42b2ob
2o12b3o138bo$112bo13bo36bo4bo16bo144bo$113bo10b2o36b4ob2o73b2o56b2o24b
2o3bo$118b2o4b3o35bo21b3o56b2o56b2o22bobob2o$117b2o6b2o36b2o3bo15bo57b
o57bo24bobo2bob2o$119bo2bo39b6o16b3o137bo4b2o$121b3o29b2o6b2o161b2o$
121b2o30bobo3b2o2bo160b2o$113b2o5b2o31bo5b3o$112b2o6b2o34bo$114bo2b2ob
2o34b2o18bo$116b2o57b5o$116b2o57bo2b2o$177b2obo2$180bobo2$173b3o6b3o$
168bo4bo2b3o4b3o31b2o$167b2o5b2ob5ob3o31b2o$167bobo3b3o4b2ob2o$179bobo
$169b3o6bo2bo28b2o$168b3o7bo31bo2b3o$170bobob4o2bo29bob5obo$172b2ob2o
34bo6b2o$172b6o33bo5b3o$211bo2bo2bo$214b4o$204b2obo2bo7bo2bo$204bob2o
2b2obo3bo2bobo$204bob2o3bo5bo2bobo$205bo4bo5b2o$205b2o3bo3bobo$196b2o
2bo4b2o6bob3o$195b2o4bo2b2o6b4o$197b2obo2b3o7b2o3b2o$199b2o2bo9bobo$
206bo6bobo2b2obo$203bo2bo3b2o6b2obo$204bo4b2o9bo$205bo5bo8bobo$216b2o
2bobo$216bo$216bo$218b3o$218b6o$218bo$218b2o3bo$218b2o2bo$219b3o2b3o$
221bo4bobo$221b4obobo$221b4obobo$224bo!