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List of C/4 puffers & rakes?

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List of C/4 puffers & rakes?

Postby Platypus5 » September 19th, 2011, 8:46 pm

Is there a place where I can find any c/4 rakes and puffers? I have only been able to find two pre-made ones, (Not counting the....uh.... ones with the glider loop in them) and I lack the skill to make my own or modify existing ships.
Unsorted C/3 search output? Somewhat newish C/3 edgesparker? give it to me, and my "battleships" just may have a use for it. :)
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Re: List of C/4 puffers & rakes?

Postby Paul Tooke » September 20th, 2011, 2:23 pm

Take a look in Jason Summers' pattern collection, downloadable from http://entropymine.com/jason/life/. You won't find a lot of them I'm afraid. To the best of my knowledge, the only c/4 puffer engines in existence are a p28 c/4 diagonal puffer found by Hartmut Holzwart and a p168 orthogonal puffer found by myself which Jason managed to create a few rakes and different period puffers from.

The only other c/4 rakes/puffers that I know of are Jason's c/4 orthogonal dirty puffer (also in his collection) and 'engineless' rakes based on glider loops, which it appears that you have already seen. c/4 puffer engines aren't the easiest of objects to find.
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Re: List of C/4 puffers & rakes?

Postby Sokwe » September 26th, 2011, 1:55 am

I know of only two c/4 orthogonal puffer engines other than Paul's p168: a p20 block puffer by David Bell, and a p32 block puffer by myself. Both of these puffers seem fairly useless.
x = 207, y = 59, rule = B3/S23
11b3o81b3o3bo50bo3b3o$94b2ob6o5b3o2b2o24b2o2b3o5b6ob2o$11bo2bo79b2o3bo
3bo2b2obob4o24b4obob2o2bo3bo3b2o$10bo3bo37bo31b2o15b3o2b2obo2bo3b3o16b
3o3bo2bob2o2b3o15b2o31bo$10b2o39b2o13b5obo10bo2bo7bo2b2o6b2o2bob2o2b2o
20b2o2b2obo2b2o6b2o2bo7bo2bo10bob5o13b2o$9bobob2o35b2o2bo11b2o2bob2o9b
o6bob3o7bo2b2o6b2obo2bo14bo2bob2o6b2o2bo7b3obo6bo9b2obo2b2o11bo2b2o$
10bo2bobo32bob2o3b2o2bo8b3obo2bo6bo4b3o3bo6b2o7bobo3b3obo3bo2b2o2bo3bo
b3o3bobo7b2o6bo3b3o4bo6bo2bob3o8bo2b2o3b2obo$14b3o30bo5bobo2bo2b2obo9b
obo5bo2b2obo5bo10bo3bo8b2o2b2ob4ob2o2b2o8bo3bo10bo5bob2o2bo5bobo9bob2o
2bo2bobo5bo$12b2o2bo31b2o2bobo3bo2b2ob2o10bo2bob3o5b2o2bo12bo13bo12bo
13bo12bo2b2o5b3obo2bo10b2ob2o2bo3bobo2b2o$9bobobo2b2o35b2o3b3o14bo2bob
2o41bobo2bobo41b2obo2bo14b3o3b2o$9bobo4bo42bob2o2bo11bo3bo40b4o2b4o7bo
32bo3bo11bo2b2obo$9b2o54bo12bobo41b10o6b3o32bobo12bo$12bo125b3o$12bo
125bo$8b3ob2o4b3o117b4o$8b3o8bo3bo78b3o9b3o20b2obobo$9bob2o8b3o79bo11b
o10b2o8bo5bo$10b2o10bo2bo100b2o8b2o$11bo9bo2b5o73bo2bobo3bobo2bo18bo2b
o$10bo2b2o7b3o75b3ob5ob5ob3o17bobob2o$12b2o8b2ob2obo71b2o2b3obobob3o2b
2o14b2o3bob3o$12bo13b2o71b3o15b3o16bo6bo$12bo13bo73b2o5bo3bo5b2o$12bo
11b2o112b3o$10bo2bo10b3o115b2o$11b3o9bo2bo110bo4b2o$13bo109b2o5b2o6bob
o$3b3o16b2o99b2o5b2o8b2o$4bo8b2o123bobo$24bo113bo2bo$2b4o7b3o6bobo112b
obobo$bobo2bo18bo114b3o$bo5bo17bo114b3o$2bo3b2o6b2o6b2o116b3o$13bo2bo
5b3o98b2o5b2o8b2o$3bob3obo4b2o4b2o101b2o5b2o8b2o$2b2ob3obo9bo3bo113b3o
$2o5bobo4b2o4bo3bo$2o12b2o7bo$bob2o132b2o$b2ob2o131b2o$bob3o130b2o$bob
obo8b2o107b2o5b2o$14b2o107b2o5b2o$3b2o$3b3o$2bo3bo$2bo3bo7b2o$2bo11b2o
$2bo$3bo2bo$3bo$5b2o7b2o$14b2o$5b2o$6bo2$6b2o6b2o$14b2o!
-Matthias Merzenich
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Re: List of C/4 puffers & rakes?

Postby Platypus5 » September 26th, 2011, 7:58 pm

Sokwe wrote:I know of only two c/4 orthogonal puffer engines other than Paul's p168: a p20 block puffer by David Bell, and a p32 block puffer by myself. Both of these puffers seem fairly useless.


Actually, they might be at least somewhat useful for me: My primary usage of conway life is to make little spaceships that shoot each other.

Example:
x = 661, y = 490, rule = B3/S23
457b2o10b2o14b2obo7bob2o14b2o10b2o$457b2ob2o3b5obo8bob2ob2ob2o5b2ob2ob
2obo8bob5o3b2ob2o$455b2o3b2o3b3o3b2o6b2ob2obobo2bo3bo2bobob2ob2o6b2o3b
3o3b2o3b2o$456bobo2bo2bobo2bob5o2bo3bo6bo5bo6bo3bo2b5obo2bobo2bo2bobo$
453b2obobo4b3o3b3o3b4obo23bob4o3b3o3b3o4bobob2o$448b2ob2obobobobo2bo2b
o4bo3bobo29bobo3bo4bo2bo2bobobobob2ob2o$448b2o4bobobo2b6ob4o4b4o25b4o
4b4ob6o2bobobo4b2o$446bo2bob2obobobobo3bobobobobo3b4o25b4o3bobobobobo
3bobobobob2obo2bo$445bo5b2obobobo2bo12bo2bo29bo2bo12bo2bobobob2o5bo$
445bo4b2obo2bo2bo65bo2bo2bob2o4bo$444b2o2bobo4bo73bo4bobo2b2o$444b2ob
2obob2o3bo69bo3b2obob2ob2o$444bo3bo2bob2o2b2o3b3o55b3o3b2o2b2obo2bo3bo
$445bo2b4obobo4b3ob2o7b3ob2o27b2ob3o7b2ob3o4bobob4o2bo$449bo7b4o5bo4b
2o4b2o27b2o4b2o4bo5b4o7bo$447b2o10bobo2b3o3bo3bobo2bo25bo2bobo3bo3b3o
2bobo10b2o$457b2o2bo4b2o2b3o39b3o2b2o4bo2b2o$456bobob2ob2o3b3o43b3o3b
2ob2obobo$456bo4bobo2bo2bo45bo2bo2bobo4bo$460bo3bo3bo47bo3bo3bo2$431b
2o17b2o81b2o17b2o$426bob2ob2o17b2ob2obo71bob2ob2o17b2ob2obo$425b3obo3b
2o13b2o3bob3o69b3obo3b2o13b2o3bob3o$424bo3b2obobobo11bobobob2o3bo67bo
3b2obobobo11bobobob2o3bo$425bo3b3obob3o7b3obob3o3bo69bo3b3obob3o7b3obo
b3o3bo$429bo3bobob2o5b2obobo3bo77bo3bobob2o5b2obobo3bo$430b2obo5bo3bo
5bob2o79b2obo5bo3bo5bob2o$436bo9bo91bo9bo2$433b3obo3bo3bob3o85b3obo3bo
3bob3o$435bo2b2obob2o2bo89bo2b2obob2o2bo$438bo2bo2bo95bo2bo2bo$437b2o
5b2o93b2o5b2o$437b4ob4o93b4ob4o2$435b3ob2ob2ob3o89b3ob2ob2ob3o$434bo4b
2ob2o4bo87bo4b2ob2o4bo$437b3o3b3o93b3o3b3o$434b4obo3bob4o87b4obo3bob4o
$434b5o5b5o87b5o5b5o$432b2o5bo3bo5b2o83b2o5bo3bo5b2o$441bo101bo$426b3o
3bo7b3o7bo83bo7b3o7bo3b3o$424b2o3bo6bo4bo4bo91bo4bo4bo6bo3b2o$423bo3bo
2bo123bo2bo3bo$423bo6b2obo117bob2o6bo$426b3ob2ob2o17b3o75b3o17b2ob2ob
3o$423b3o3bob2o2bo5bo9bo3b2obo67bob2o3bo9bo5bo2b2obo3b3o$422b2o17bo4b
3o2b3o3b3o65b3o3b3o2b3o4bo17b2o$434bo10bo3b3o4bo3bo63bo3bo4b3o3bo10bo$
426b3o4b2o11b2o3bo7bo65bo7bo3b2o11b2o4b3o$427b2o3b3o5b2o7b2o83b2o7b2o
5b3o3b2o$427b2o2b2o6bob2o99b2obo6b2o2b2o$430b3o5b2obobo97bobob2o5b3o$
428bo2bo7b5o97b5o7bo2bo$430bo9bobo99bobo9bo$441bo101bo4$112b3o3bo3b3o$
110bo2b3obobob3o2bo305bo119bo$110bo6bobo6bo303b2o121b2o$110b6obobob6o
304b2o119b2o$117bobo$108b2o4b2obobob2o4b2o$107bo2bo4b2o3b2o4bo2bo$108b
6obo5bob6o$107b2o3bo11bo3b2o$107bo4bobo7bobo4bo$107bo5bo9bo5bo$107b2o
19b2o2$104b4obo17bob4o$103bobo2bo2b2o11b2o2bo2bobo$104bo6b2o11b2o6bo$
113bo9bo$106b2ob2o15b2ob2o293bo135bo$106b2o3bo13bo3b2o293bobo131bobo$
105bo3bob2o11b2obo3bo292b2o133b2o$105bobob4o11b4obobo$108bobo15bobo$
111b2o11b2o338b3o11b3o23b3o11b3o$82b3o3bo3b3o12bob2o2bo9bo2b2obo12b3o
3bo3b3o308bo17bo21bo17bo$80bo2b3obobob3o2bo9bo2b4o11b4o2bo9bo2b3obobob
3o2bo307bo2b3ob3ob3o2bo23bo2b3ob3ob3o2bo$80bo6bobo6bo8b3o2bo15bo2b3o8b
o6bobo6bo309bo2bobobobo2bo27bo2bobobobo2bo$80b6obobob6o8bobo21bobo8b6o
bobob6o311b2obobob2o31b2obobob2o$87bobo17bo21bo17bobo318bo2bobo2bo31bo
2bobo2bo$78b2o4b2obobob2o4b2o7b3o19b3o7b2o4b2obobob2o4b2o312bobo37bobo
$77bo2bo4b2o3b2o4bo2bo6b2o21b2o6bo2bo4b2o3b2o4bo2bo308bo2bobo2bo31bo2b
obo2bo$78b6obo5bob6o39b6obo5bob6o310bobobobo33bobobobo$77b2o3bo11bo3b
2o37b2o3bo11bo3b2o309bobobobo33bobobobo$77bo4bobo7bobo4bo37bo4bobo7bob
o4bo306b2obobobobob2o27b2obobobobob2o$77bo5bo9bo5bo37bo5bo9bo5bo257bob
o46b2obobobobob2o27b2obobobobob2o46bobo$77b2o19b2o37b2o19b2o257b2o44b
3o3bobobobo3b3o21b3o3bobobobo3b3o44b2o$418bo43bo5b2obobob2o5bo19bo5b2o
bobob2o5bo43bo$74b4obo17bob4o31b4obo17bob4o300bob2o2bobobobo2b2obo21bo
b2o2bobobobo2b2obo$73bobo2bo2b2o11b2o2bo2bobo29bobo2bo2b2o11b2o2bo2bob
o302b2obobobobob2o27b2obobobobob2o$74bo6b2o11b2o6bo31bo6b2o11b2o6bo
303b2obobobobob2o27b2obobobobob2o$83bo9bo49bo9bo313bobobobobobo29bobob
obobobo$76b2ob2o15b2ob2o35b2ob2o15b2ob2o266b3o17b3o19bobobobo33bobobob
o19b3o17b3o$76b2o3bo13bo3b2o35b2o3bo13bo3b2o261b2ob2obo19bob2ob2o10bob
obobobobobobo25bobobobobobobobo10b2ob2obo19bob2ob2o$75bo3bob2o11b2obo
3bo33bo3bob2o11b2obo3bo260b2o4bob2o13b2obo4b2o9b3ob2obobob2ob3o23b3ob
2obobob2ob3o9b2o4bob2o13b2obo4b2o$75bobob4o11b4obobo33bobob4o11b4obobo
259bo2bo3bobobo11bobobo3bo2bo8b5o2bobo2b5o23b5o2bobo2b5o8bo2bo3bobobo
11bobobo3bo2bo$78bobo15bobo39bobo15bobo269bobobob2o5b2obobobo19b2obobo
b2o31b2obobob2o19bobobob2o5b2obobobo$81b2o11b2o45b2o11b2o270bo3bobob2o
5b2obobo3bo13b2o5bobo5b2o23b2o5bobo5b2o13bo3bobob2o5b2obobo3bo$77bob2o
2bo9bo2b2obo37bob2o2bo9bo2b2obo267bobobob3o5b3obobobo13bo2bo4bobo4bo2b
o21bo2bo4bobo4bo2bo13bobobob3o5b3obobobo$76bo2b4o11b4o2bo35bo2b4o11b4o
2bo303bobo2bobobobo2bobo23bobo2bobobobo2bobo$75b3o2bo15bo2b3o33b3o2bo
15bo2b3o249bo19b3o9b3o17b2ob2o9b2ob2o21b2ob2o9b2ob2o17b3o9b3o19bo$75bo
bo21bobo33bobo21bobo248bo20b3obobobobob3o17b2obobo2b3o2bobob2o21b2obob
o2b3o2bobob2o17b3obobobobob3o20bo$56bo13bo6bo21bo37bo21bo6bo13bo229b3o
19b5obob5o95b5obob5o19b3o$55b2o13b2o4b3o19b3o35b3o19b3o4b2o13b2o255bob
o23b2o3b3o3b3o3b2o21b2o3b3o3b3o3b2o23bobo$54bo2b3o3bo3b3o2bo3b2o21b2o
35b2o21b2o3bo2b3o3bo3b3o2bo254b3o22bo19bo19bo19bo22b3o$58b3obobob3o99b
3obobob3o255bobo3bobo18b2o3b2o4bo4b2o3b2o17b2o3b2o4bo4b2o3b2o18bobo3bo
bo$62bobo107bobo289b3o11b3o23b3o11b3o$58b3obobob3o99b3obobob3o253b2ob
3ob3ob2o19bo15bo23bo15bo19b2ob3ob3ob2o$59b2obobob2o101b2obobob2o254bo
11bo16b2obobo11bobob2o17b2obobo11bobob2o16bo11bo$61b2ob2o105b2ob2o255b
o2bo7bo2bo15b2obobob2o5b2obobob2o17b2obobob2o5b2obobob2o15bo2bo7bo2bo$
62bobo107bobo256bo4bo3bo4bo18bobob2o5b2obobo23bobob2o5b2obobo18bo4bo3b
o4bo$59b2obobob2o101b2obobob2o258bo3bo22bobob3o5b3obobo21bobob3o5b3obo
bo22bo3bo$60bobobobo103bobobobo253b6o5b6o91b6o5b6o$57b2obobobobob2o97b
2obobobobob2o249b2o7bo7b2o4bo12b3o9b3o25b3o9b3o12bo4b2o7bo7b2o$55bo2bo
bobobobobo2bo93bo2bobobobobobo2bo255bobo11b4o10b3obobobobob3o25b3obobo
bobob3o10b4o11bobo$54b5obobobobob5o17bo13bo27bo13bo17b5obobobobob5o
254b3o10bo3b2o10b5obob5o27b5obob5o10b2o3bo10b3o$53bo3bob2obobob2obo3bo
15b2o13b2o25b2o13b2o15bo3bob2obobob2obo3bo221bo42b3o5bo14bobo37bobo14b
o5b3o42bo$56b2o2bobobobo2b2o17bo2b3o3bo3b3o2bo23bo2b3o3bo3b3o2bo17b2o
2bobobobo2b2o222b2o21bo18b2o4bobo17b3o37b3o17bobo4b2o18bo21b2o$60bobob
obo25b3obobob3o31b3obobob3o25bobobobo227b2o18b4o17b2o4b4obo11bobo3bobo
31bobo3bobo11bob4o4b2o17b4o18b2o$60bobobobo29bobo39bobo29bobobobo243b
2ob2o3bo3bo12b4ob8o69b8ob4o12bo3bo3b2ob2o$57b2obobobobob2o22b3obobob3o
31b3obobob3o22b2obobobobob2o240b2o2bo5b4o3b3o16b2o8b2ob3ob3ob2o27b2ob
3ob3ob2o8b2o16b3o3b4o5bo2b2o$57bo2bobobobo2bo23b2obobob2o33b2obobob2o
23bo2bobobobo2bo239bo2bo7bo3bo3bo6b2o5bo13bo11bo27bo11bo13bo5b2o6bo3bo
3bo7bo2bo$55b2obobobobobobob2o23b2ob2o37b2ob2o23b2obobobobobobob2o246b
o2bobo3bobo4bo2bo3bobo11bo2bo7bo2bo25bo2bo7bo2bo11bobo3bo2bo4bobo3bobo
2bo$60bobobobo29bobo39bobo29bobobobo252bo8bo6bo2bobo14bo4bo3bo4bo25bo
4bo3bo4bo14bobo2bo6bo8bo$55bo6bobo6bo21b2obobob2o33b2obobob2o21bo6bobo
6bo256bo10b4o17bo3bo35bo3bo17b4o10bo$59b2obobob2o26bobobobo35bobobobo
26b2obobob2o271b4o11b6o5b6o23b6o5b6o11b4o$55b2o5bobo5b2o19b2obobobobob
2o29b2obobobobob2o19b2o5bobo5b2o265bo2bo7bo4b2o15b2o21b2o15b2o4bo7bo2b
o$54bo2bo4bobo4bo2bo16bo2bobobobobobo2bo25bo2bobobobobobo2bo16bo2bo4bo
bo4bo2bo273b4o12bo39bo12b4o$55bobo3bo3bo3bobo16b5obobobobob5o23b5obobo
bobob5o16bobo3bo3bo3bobo263bo9b2o3bo9b2ob2o35b2ob2o9bo3b2o9bo$57bobob
2ob2obobo17bo3bob2obobob2obo3bo21bo3bob2obobob2obo3bo17bobob2ob2obobo
262bo3b2o6bo5b3o8bobo37bobo8b3o5bo6b2o3bo$54b2obo5bo5bob2o17b2o2bobobo
bo2b2o27b2o2bobobobo2b2o17b2obo5bo5bob2o257b3o2b2o10bobo4b2o6bo11bo15b
o11bo6b2o4bobo10b2o2b3o$56bob2ob5ob2obo23bobobobo35bobobobo23bob2ob5ob
2obo260bo12bob4o4b2o17b4o11b4o17b2o4b4obo12bo$54bo5bo5bo5bo21bobobobo
35bobobobo21bo5bo5bo5bo214bo44bo10b8ob4o12bo3bo3b2ob2o3b2ob2o3bo3bo12b
4ob8o10bo44bo$52b2o4b3o5b3o4b2o16b2obobobobob2o29b2obobobobob2o16b2o4b
3o5b3o4b2o212bobo53b2o22b4o5bo2b2o3b2o2bo5b4o22b2o53bobo$52b3o2b2o9b2o
2b3o16bo2bobobobo2bo29bo2bobobobo2bo16b3o2b2o9b2o2b3o212b2o59bo5b2o10b
o3bo7bo2bobo2bo7bo3bo10b2o5bo59b2o$54b2ob2o9b2ob2o16b2obobobobobobob2o
25b2obobobobobobob2o16b2ob2o9b2ob2o274bobo3bo2bo10bobo2bo19bo2bobo10bo
2bo3bobo$55bobo11bobo22bobobobo35bobobobo22bobo11bobo278bobo2bo15bo21b
o15bo2bobo$52b2obo2bo9bo2bob2o14bo6bobo6bo25bo6bobo6bo14b2obo2bo9bo2bo
b2o273b4o61b4o$52b2obobob2o5b2obobob2o18b2obobob2o33b2obobob2o18b2obob
ob2o5b2obobob2o273b4o6b2o45b2o6b4o$53bobobo3bo3bo3bobobo15b2o5bobo5b2o
25b2o5bobo5b2o15bobobo3bo3bo3bobobo276bo2bo3b2o4b2o35b2o4b2o3bo2bo$55b
4obo5bob4o16bo2bo4bobo4bo2bo23bo2bo4bobo4bo2bo16b4obo5bob4o286b2o3b2o
35b2o3b2o$55b2o13b2o17bobo3bo3bo3bobo25bobo3bo3bo3bobo17b2o13b2o287bo
3b2o35b2o3bo$56bob2o7b2obo20bobob2ob2obobo29bobob2ob2obobo20bob2o7b2ob
o$60bob3obo21b2obo5bo5bob2o23b2obo5bo5bob2o21bob3obo$56bo3bo5bo3bo19bo
b2ob5ob2obo27bob2ob5ob2obo19bo3bo5bo3bo272bo77bo$58b3o5b3o19bo5bo5bo5b
o23bo5bo5bo5bo19b3o5b3o272bobo77bobo$61b2ob2o20b2o4b3o5b3o4b2o19b2o4b
3o5b3o4b2o20b2ob2o276b2o77b2o$62b3o21b3o2b2o9b2o2b3o19b3o2b2o9b2o2b3o
21b3o$58b2o2bobo2b2o19b2ob2o9b2ob2o23b2ob2o9b2ob2o19b2o2bobo2b2o211bob
o69bo59bo69bobo$57b2o2bo3bo2b2o19bobo11bobo25bobo11bobo19b2o2bo3bo2b2o
210b2o68b2o61b2o68b2o$56b2ob3o3b3ob2o15b2obo2bo9bo2bob2o19b2obo2bo9bo
2bob2o15b2ob3o3b3ob2o210bo69b2o59b2o69bo$56b2o11b2o15b2obobob2o5b2obob
ob2o19b2obobob2o5b2obobob2o15b2o11b2o$60bo5bo20bobobo3bo3bo3bobobo21bo
bobo3bo3bo3bobobo20bo5bo201bo227bo$55bo2b2obo3bob2o2bo17b4obo5bob4o25b
4obo5bob4o17bo2b2obo3bob2o2bo194b4o225b4o$54b7o5b7o16b2o13b2o25b2o13b
2o16b7o5b7o189b2ob2o3bo223bo3b2ob2o$54b2ob3o7b3ob2o3b2o12bob2o7b2obo
27bob2o7b2obo12b2o3b2ob3o7b3ob2o189b2o2bo3bo223bo3bo2b2o$62b3o11b2ob2o
13bob3obo35bob3obo13b2ob2o11b3o196bo2bo7bo219bo7bo2bo$61b2ob2o9bobob2o
9bo3bo5bo3bo27bo3bo5bo3bo9b2obobo9b2ob2o206bo73bo71bo73bo$61b2ob2o8b3o
2b2o11b3o5b3o31b3o5b3o11b2o2b3o8b2ob2o201b2obo74b2o71b2o74bob2o$51b2o
10bo6b3obobob3o14b2ob2o37b2ob2o14b3obobob3o6bo10b2o191b2o76bobo69bobo
76b2o$48b2ob2o16bo11b2o13b3o39b3o13b2o11bo16b2ob2o188bobo68b3o83b3o68b
obo$45b4o2b2o4b2o4bo6bobo2bo16b2o2bobo2b2o31b2o2bobo2b2o16bo2bobo6bo4b
2o4b2o2b4o188b2o66bo87bo66b2o$44bo4bo4b2ob2o3b3o14bo2bo8b2o2bo3bo2b2o
29b2o2bo3bo2b2o8bo2bo14b3o3b2ob2o4bo4bo185b3o61b2o5bo85bo5b2o61b3o$45b
2o7b2o3b3o3bo4b2o5bo12b2ob3o3b3ob2o27b2ob3o3b3ob2o12bo5b2o4bo3b3o3b2o
7b2o180bo3b2o2bo3bo56b2o99b2o56bo3bo2b2o3bo$54b2o10bo2bo2bo3b2o12b2o
11b2o27b2o11b2o12b2o3bo2bo2bo10b2o188b3o3b2o4bo51b2o6bo97bo6b2o51bo4b
2o3b3o$73bo20bo5bo35bo5bo20bo206bo3bo2bobo3b3o49bobo109bobo49b3o3bobo
2bo3bo$61b2ob2o7bo3bo11bo2b2obo3bob2o2bo25bo2b2obo3bob2o2bo11bo3bo7b2o
b2o195bobobobo51bo5bo113bo5bo51bobobobo$63bo9bo3bo10b7o5b7o23b7o5b7o
10bo3bo9bo203bo50b2o125b2o50bo$74b2o7b2o3b2ob13ob2o23b2ob13ob2o3b2o7b
2o213b2o50bobo123bobo50b2o$80b2ob2o10bo3bo37bo3bo10b2ob2o220bo43b3o
137b3o43bo$80b2obobo8bo5bo35bo5bo8bobob2o220bo43bo141bo43bo$80b2o2b3o
63b3o2b2o258b2o5bo139bo5b2o$71bo8b3obobob3o17b2o17b2o17b3obobob3o8bo
185b2o7b2o52b2o153b2o52b2o7b2o$72b2o4b2o11bo16b2ob2o11b2ob2o16bo11b2o
4b2o183b2ob2o7b2ob2o43b2o6bo151bo6b2o43b2ob2o7b2ob2o$71b2o12bo2bobo5b
3o3b2o4b2o2b4o5b4o2b2o4b2o3b3o5bobo2bo12b2o179b4o2bobo5bobo2b4o40bobo
163bobo40b4o2bobo5bobo2b4o$78bo2bo20b2ob2o4bo4bo3bo4bo4b2ob2o20bo2bo
185bo4bo4bo3bo4bo4bo33bo5bo167bo5bo33bo4bo4bo3bo4bo4bo$83bo5b2o10bo3b
2o7b2o5b2o7b2o3bo10b2o5bo191b2o7bo3bo7b2o33b2o179b2o33b2o7bo3bo7b2o$
83b2o3bo2bo13b2o23b2o13bo2bo3b2o197b3obobob3o39bobo177bobo39b3obobob3o
$87bo61bo201b4o3b4o32b3o191b3o32b4o3b4o$83bo3bo61bo3bo240bo195bo$83bo
3bo4b2o49b2o4bo3bo199b2o3b2o28b2o5bo30b3o17b3o87b3o17b3o30bo5b2o28b2o
3b2o$85b2o4bo2bo47bo2bo4b2o200bo2bobo2bo26b2o32b2ob2obo19bob2ob2o77b2o
b2obo19bob2ob2o32b2o26bo2bobo2bo$90b2o2bo3b2o37b2o3bo2b2o208bobo23b2o
6bo31b2o4bob2o13b2obo4b2o77b2o4bob2o13b2obo4b2o31bo6b2o23bobo$91b2o2bo
bo2bo35bo2bobo2b2o209bobo23bobo36bo2bo3bobobo11bobobo3bo2bo75bo2bo3bob
obo11bobobo3bo2bo36bobo23bobo$92b4o2b2o37b2o2b4o207b2obobob2o14bo5bo
45bobobob2o5b2obobobo89bobobob2o5b2obobobo45bo5bo14b2obobob2o$352bobo
3bobo13b2o49bo3bobob2o5b2obobo3bo85bo3bobob2o5b2obobo3bo49b2o13bobo3bo
bo$374bobo13b3o17b3o13bobobob3o5b3obobobo87bobobob3o5b3obobobo13b3o17b
3o13bobo$367b3o15b2ob2obo19bob2ob2o149b2ob2obo19bob2ob2o15b3o$79bo77bo
203bo5bo17b2o4bob2o13b2obo4b2o12b3o9b3o95b3o9b3o12b2o4bob2o13b2obo4b2o
17bo5bo$77bobo77bobo201b2o5bo15bo2bo3bobobo11bobobo3bo2bo11b3obobobobo
b3o95b3obobobobob3o11bo2bo3bobobo11bobobo3bo2bo15bo5b2o$78b2o77b2o201b
2o29bobobob2o5b2obobobo19b5obob5o97b5obob5o19bobobob2o5b2obobobo29b2o$
354b2o6bo26bo3bobob2o5b2obobo3bo22bobo107bobo22bo3bobob2o5b2obobo3bo
26bo6b2o$86bo63bo203bobo33bobobob3o5b3obobobo23b3o107b3o23bobobob3o5b
3obobobo33bobo$84b2o65b2o201bo78bobo3bobo18b3o17b3o19b3o17b3o18bobo3bo
bo78bo$85b2o63b2o242b3o9b3o46b2ob2obo19bob2ob2o9b2ob2obo19bob2ob2o46b
3o9b3o$394b3obobobobob3o22b2ob3ob3ob2o11b2o4bob2o13b2obo4b2o9b2o4bob2o
13b2obo4b2o11b2ob3ob3ob2o22b3obobobobob3o$340b3o52b5obob5o23bo11bo10bo
2bo3bobobo11bobobo3bo2bo7bo2bo3bobobo11bobobo3bo2bo10bo11bo23b5obob5o
52b3o$26b3o7b3o159b3o7b3o129bo59bobo27bo2bo7bo2bo16bobobob2o5b2obobobo
21bobobob2o5b2obobobo16bo2bo7bo2bo27bobo59bo$22bob2o3bo5bo3b2obo151bob
2o3bo5bo3b2obo126bo58b3o27bo4bo3bo4bo14bo3bobob2o5b2obobo3bo17bo3bobob
2o5b2obobo3bo14bo4bo3bo4bo27b3o58bo$21b3o3bobo5bobo3b3o36bo75bo36b3o3b
obo5bobo3b3o181bobo3bobo29bo3bo20bobobob3o5b3obobobo19bobobob3o5b3obob
obo20bo3bo29bobo3bobo$20bo3bo4b2o3b2o4bo3bo34b2o75b2o34bo3bo4b2o3b2o4b
o3bo212b6o5b6o93b6o5b6o$21bo6bob2ob2obo6bo35bobo73bobo35bo6bob2ob2obo
6bo179b2ob3ob3ob2o20b2o15b2o4bo12b3o9b3o27b3o9b3o12bo4b2o15b2o20b2ob3o
b3ob2o$27bo3bobo3bo34b3o87b3o34bo3bobo3bo185bo11bo27b5o10b4o10b3obobob
obob3o27b3obobobobob3o10b4o10b5o27bo11bo$27bo2bo3bo2bo34bo91bo34bo2bo
3bo2bo184bo2bo7bo2bo26b5o9bo3b2o10b5obob5o29b5obob5o10b2o3bo9b5o26bo2b
o7bo2bo$66b2o5bo89bo5b2o223bo4bo3bo4bo26b2ob2o7b3o5bo14bobo39bobo14bo
5b3o7b2ob2o26bo4bo3bo4bo$29b2o3b2o29b2o103b2o29b2o3b2o191bo3bo21bo10b
3o5b2o4bobo17b3o39b3o17bobo4b2o5b3o10bo21bo3bo$28bo2bobo2bo22b2o6bo
101bo6b2o22bo2bobo2bo152b2o30b6o5b6o13b4o9b3o5b2o4b4obo11bobo3bobo33bo
bo3bobo11bob4o4b2o5b3o9b4o13b6o5b6o30b2o$31bobo25bobo113bobo25bobo155b
2o29b2o7bo7b2o8b2ob2o3bo3bo12b4ob8o71b8ob4o12bo3bo3b2ob2o8b2o7bo7b2o
29b2o$28b2obobob2o16bo5bo117bo5bo16b2obobob2o191bobo16b2o2bo5b4o5bo16b
2o8b2ob3ob3ob2o29b2ob3ob3ob2o8b2o16bo5b4o5bo2b2o16bobo$28b2obobob2o15b
2o129b2o15b2obobob2o191b3o15bo2bo7bo14b2o5bo13bo11bo29bo11bo13bo5b2o
14bo7bo2bo15b3o$27b2o2bobo2b2o14bobo127bobo14b2o2bobo2b2o166bo9bo40bo
2bobo6bo3bo2bo3bobo11bo2bo7bo2bo27bo2bo7bo2bo11bobo3bo2bo3bo6bobo2bo
40bo9bo$29bo5bo9b3o141b3o9bo5bo166b4o7b4o24bo14bo5bob2obo4bo2bobo14bo
4bo3bo4bo27bo4bo3bo4bo14bobo2bo4bob2obo5bo14bo24b4o7b4o$45bo145bo178b
2ob2o3bo5bo3b2ob2o19b4o21b2o9b4o17bo3bo37bo3bo17b4o9b2o21b4o19b2ob2o3b
o5bo3b2ob2o$39b2o5bo143bo5b2o172b2o2bo3bo5bo3bo2b2o14bo3bo3b2ob2o16bo
2bo8b4o11b6o5b6o25b6o5b6o11b4o8bo2bo16b2ob2o3bo3bo14b2o2bo3bo5bo3bo2b
2o$38b2o157b2o170bo2bo7bobo7bo2bo6b3o3b4o5bo2b2o16bobo7bo2bo7bo4b2o7bo
7b2o23b2o7bo7b2o4bo7bo2bo7bobo16b2o2bo5b4o3b3o6bo2bo7bobo7bo2bo$32b2o
6bo35b3o79b3o35bo6b2o172bo2bobo2bo15bo3bo3bo7bo2bo16bo17b4o11bobo39bob
o11b4o17bo16bo2bo7bo3bo3bo15bo2bobo2bo$32bobo41b3o79b3o41bobo171b3obob
ob3o13bobo3bobo2bo42b2o3bo10b3o39b3o10bo3b2o42bo2bobo3bobo13b3obobob3o
$32bo23b2ob3o13bo3bo13b3ob2o39b2ob3o13bo3bo13b3ob2o23bo196bo8bo42bo5b
3o61b3o5bo42bo8bo$56b2o4b2ob2o21b2ob2o4b2o39b2o4b2ob2o21b2ob2o4b2o197b
2o3b2o16bo54bobo4b2o18bo17bo18b2o4bobo54bo16b2o3b2o$55bo2bobo4b2o7bo5b
o7b2o4bobo2bo37bo2bobo4b2o7bo5bo7b2o4bobo2bo196b2o3b2o68bob4o4b2o17b4o
13b4o17b2o4b4obo68b2o3b2o$18b3o41b2obo2b2o4b2obob2o4b2o2bob2o51b2obo2b
2o4b2obob2o4b2o2bob2o41b3o159bobobobo60bobo4b8ob4o12bo3bo3b2ob2o5b2ob
2o3bo3bo12b4ob8o4bobo60bobobobo$18bo49bob2o11b2obo63bob2o11b2obo49bo
158b2obobob2o60b2o4b2o16b3o3b4o5bo2b2o5b2o2bo5b4o3b3o16b2o4b2o60b2obob
ob2o$19bo43b3ob2o2bo3bo3bo3bo2b2ob3o53b3ob2o2bo3bo3bo3bo2b2ob3o43bo
159b2obobob2o6b2o52bo10bo5b2o10bo3bo7bo2bo3bo2bo7bo3bo10b2o5bo10bo52b
2o6b2obobob2o$63bo3b3obo4bobo4bob3o3bo53bo3b3obo4bobo4bob3o3bo206bobo
7b4o62bobo3bo2bo10bobo2bo21bo2bobo10bo2bo3bobo62b4o7bobo$5b2o54b2obob
2o4bo2bo3bo2bo4b2obob2o49b2obob2o4bo2bo3bo2bo4b2obob2o54b2o129b2o13bo
9bo3b3o66bobo2bo15bo23bo15bo2bobo66b3o3bo9bo13b2o$5bobo52bobo2bo8bobob
obo8bo2bobo47bobo2bo8bobobobo8bo2bobo52bobo129b2o14bo7bo3bo67b4o63b4o
67bo3bo7bo14b2o$5bo52b3obo2bo5b2obo2bo2bob2o5bo2bob3o43b3obo2bo5b2obo
2bo2bob2o5bo2bob3o52bo158b3o3b2o59b4o63b4o59b2o3b3o$57b2obo9bobobob3ob
obobo9bob2o41b2obo9bobobob3obobobo9bob2o210b2o67bo2bo2b3o49b3o2bo2bo
67b2o$37b2o17bo3bo9bobo2b2ob2o2bobo9bo3bo39bo3bo9bobo2b2ob2o2bobo9bo3b
o17b2o264b2o3bo45bo3b2o$37b2o32b3o2bobo2b3o69b3o2bobo2b3o32b2o43b3o
217b2o2bo3b3o37b3o3bo2b2o$72bob2o3b2obo71bob2o3b2obo80bo218bo9bo35bo9b
o$70b2o3bo3bo3b2o67b2o3bo3bo3b2o77bo220b2o5b2o37b2o5b2o$70bobo4bo4bobo
67bobo4bo4bobo$72bo2bobobo2bo71bo2bobobo2bo222b2o207b2o$72bob3ob3obo
71bob3ob3obo222b2o207b2o$72bobo5bobo71bobo5bobo288bo77bo$69b2obobo2bo
2bobob2o65b2obobo2bo2bobob2o286bo75bo$69b2obobo2bo2bobob2o65b2obobo2bo
2bobob2o284b3o75b3o$72bobob3obobo71bobob3obobo$71bo2b7o2bo69bo2b7o2bo$
45bob2ob3o49b3ob2obo17bob2ob3o49b3ob2obo266bobo63bobo$44b2ob2o4b2obo
16bo7bo16bob2o4b2ob2o15b2ob2o4b2obo16bo7bo16bob2o4b2ob2o265b2o65b2o$
43bo2bobo2bo3b3o18b3o18b3o3bo2bobo2bo13bo2bobo2bo3b3o18b3o18b3o3bo2bob
o2bo167b2o96bo65bo96b2o$44bo5bo3bo3bo13b3o5b3o13bo3bo3bo5bo15bo5bo3bo
3bo13b3o5b3o13bo3bo3bo5bo168b2o259b2o$57b2o4b3o5b2ob3ob3ob2o5b3o4b2o
41b2o4b3o5b2ob3ob3ob2o5b3o4b2o218b3o7b3o163b3o7b3o$57b2o2b2obo9b3ob3o
9bob2o2b2o41b2o2b2obo9b3ob3o9bob2o2b2o214bob2o3bo5bo3b2obo155bob2o3bo
5bo3b2obo$37b2o19b2o4bob2o9bo9b2obo4b2o43b2o4bob2o9bo9b2obo4b2o19b2o
193b3o3bobo5bobo3b3o37b2o75b2o37b3o3bobo5bobo3b3o$37b2o24bo2bobo3b2o7b
2o3bobo2bo53bo2bobo3b2o7b2o3bobo2bo24b2o192bo3bo4b2o3b2o4bo3bo35b2o77b
2o35bo3bo4b2o3b2o4bo3bo$58b2obo2bobobobo13bobobobo2bob2o43b2obo2bobobo
bo13bobobobo2bob2o214bo6bob2ob2obo6bo30b2o6bo75bo6b2o30bo6bob2ob2obo6b
o$62bo8bo11bo8bo6b2o35b2o6bo8bo11bo8bo224bo3bobo3bo36bobo87bobo36bo3bo
bo3bo$69bob13obo12bob2o33b2obo12bob13obo231bo2bo3bo2bo30bo5bo91bo5bo
30bo2bo3bo2bo$77bo20bob2o33b2obo20bo227b2o50b2o103b2o50b2o$77bo16bo3b
2ob3o29b3ob2o3bo16bo227b2o12b2o3b2o31bobo101bobo31b2o3b2o12b2o$75b2ob
2o10b3ob3o2bo4bo3bo19bo3bo4bo2b3ob3o10b2ob2o238bo2bobo2bo23b3o115b3o
23bo2bobo2bo$74bobobobo8bo5b2o2b3o4b4o17b4o4b3o2b2o5bo8bobobobo240bobo
26bo119bo26bobo$72bob2obob2obo7bo2bob2o9bo3bo15bo3bo9b2obo2bo7bob2obob
2obo235b2obobob2o17b2o5bo117bo5b2o17b2obobob2o$74bobobobo12bo4b2o4bo2b
obo17bobo2bo4b2o4bo12bobobobo237b2obobob2o16b2o131b2o16b2obobob2o$72bo
9bo8b3obo9bo25bo9bob3o8bo9bo234b2o2bobo2b2o9b2o6bo129bo6b2o9b2o2bobo2b
2o$71b2o9b2o5bo3bo49bo3bo5b2o9b2o235bo5bo11bobo141bobo11bo5bo$69bo15bo
3bo2bobo47bobo2bo3bo15bo245bo5bo145bo5bo$70bobo9bobo3b2o57b2o3bobo9bob
o194b2o49b2o157b2o49b2o$72bo9bo5b2ob2o2b3o41b3o2b2ob2o5bo9bo196b2o49bo
bo155bobo49b2o$70bobo9bobo3bo8b2o39b2o8bo3bobo9bobo238b3o169b3o$70b2o
11b2o4bo2bobo3b2obo6bo19bo6bob2o3bobo2bo4b2o11b2o238bo173bo$37b2o53bob
ob2ob2obo4bobob2o11b2obobo4bob2ob2obobo53b2o206bo171bo$37b2o57b2obo3bo
2bo4b2o11b2o4bo2bo3bob2o57b2o$72b3o5b3o14bo2bobo3bo3bo2bo9bo2bo3bo3bob
o2bo14b3o5b3o227b2o66b3o11b3o31b3o11b3o66b2o$74bo5bo16bo3b2obo27bob2o
3bo16bo5bo229bobo64bo17bo29bo17bo64bobo$65bo10b3o20bo3bo3b2o19b2o3bo3b
o20b3o10bo220bo67bo2b3ob3ob3o2bo31bo2b3ob3ob3o2bo67bo$64bobo9b3o19b2o
2bobob3o19b3obobo2b2o19b3o9bobo214b2o73bo2bobobobo2bo35bo2bobobobo2bo
73b2o$77bo27bobo21bobo27bo227b2o75b2obobob2o39b2obobob2o75b2o$106bo23b
o247b3o83bo2bobo2bo39bo2bobo2bo83b3o$378bo88bobo45bobo88bo$74b2o85b2o
216bo29b2o53bo2bobo2bo39bo2bobo2bo53b2o29bo$74b2o85b2o246b2o54bobobobo
41bobobobo54b2o$365b2o98bobobobo41bobobobo98b2o$365bobo94b2obobobobob
2o35b2obobobobob2o94bobo$71b2o19b2ob2o43b2ob2o19b2o199bo96b2obobobobob
2o35b2obobobobob2o96bo$70bo2bo16b2obob2ob2o37b2ob2obob2o16bo2bo194b2o
96b3o3bobobobo3b3o29b3o3bobobobo3b3o96b2o$70bobo14b3obo2b3o2b4o31b4o2b
3o2bob3o14bobo194b2o95bo5b2obobob2o5bo27bo5b2obobob2o5bo95b2o$71bo11b
3o4b3o5bo4bo29bo4bo5b3o4b3o11bo185b3o105bob2o2bobobobo2b2obo29bob2o2bo
bobobo2b2obo105b3o$82bobobob3obo8b2o31b2o8bob3obobobo196bo110b2obobobo
bob2o35b2obobobobob2o110bo$37b2o43bobobob4o53b4obobobo43b2o152bo109b2o
bobobobob2o35b2obobobobob2o109bo$37b2o44bobo4bo2bo49bo2bo4bobo44b2o
263bobobobobobo37bobobobobobo$92bo6b2ob2o29b2ob2o6bo193b2o83b3o17b3o
19bobobobo41bobobobo19b3o17b3o83b2o$77b3o4bo12b2obob2ob2o23b2ob2obob2o
12bo4b3o178bobo77b2ob2obo19bob2ob2o10bobobobobobobobo33bobobobobobobob
o10b2ob2obo19bob2ob2o77bobo$76bo3bo3bo9b3obo2b3o2b4o17b4o2b3o2bob3o9bo
3bo3bo177bo79b2o4bob2o13b2obo4b2o9b3ob2obobob2ob3o31b3ob2obobob2ob3o9b
2o4bob2o13b2obo4b2o79bo$75bo5bo8b3o4b3o5bo4bo15bo4bo5b3o4b3o8bo5bo225b
2o28bo2bo3bobobo11bobobo3bo2bo8b5o2bobo2b5o31b5o2bobo2b5o8bo2bo3bobobo
11bobobo3bo2bo28b2o$49b2ob3o21bo3bo8bobobob3obo8b2o17b2o8bob3obobobo8b
o3bo21b3ob2o199b2o35bobobob2o5b2obobobo19b2obobob2o39b2obobob2o19bobob
ob2o5b2obobobo35b2o$49b2o4b2o13b3o4b3o9bobobob4o39b4obobobo9b3o4b3o13b
2o4b2o136b3o95bo3bobob2o5b2obobo3bo13b2o5bobo5b2o31b2o5bobo5b2o13bo3bo
bob2o5b2obobo3bo95b3o$48bo2bobo3bo11bo3bo16bobo4bo2bo35bo2bo4bobo16bo
3bo11bo3bobo2bo135bo98bobobob3o5b3obobobo13bo2bo4bobo4bo2bo29bo2bo4bob
o4bo2bo13bobobob3o5b3obobobo98bo$55b3o2b3o5bo5bo6bobo15bo37bo15bobo6bo
5bo5b3o2b3o143bo83b2o49bobo2bobobobo2bobo31bobo2bobobobo2bobo49b2o83bo
$57b3obobo3bo3bo3bo15bo12b2obo21bob2o12bo15bo3bo3bo3bobob3o229b2o16b3o
9b3o17b2ob2o9b2ob2o29b2ob2o9b2ob2o17b3o9b3o16b2o$57bo4bo4bo2bobo2bo4bo
10bo9b2ob2ob2o19b2ob2ob2o9bo10bo4bo2bobo2bo4bo4bo247b3obobobobob3o17b
2obobo2b3o2bobob2o29b2obobo2b3o2bobob2o17b3obobobobob3o$58b2o7bo3bo3bo
11b2o12bo2bobo2bo17bo2bobo2bo12b2o11bo3bo3bo7b2o249b5obob5o103b5obob5o
$68bo5bo3bob2o13b2o4b2o5bo19bo5b2o4b2o13b2obo3bo5bo178bob2o22b2obo56bo
bo23b2o3b3o3b3o3b2o29b2o3b3o3b3o3b2o23bobo56bob2o22b2obo$69bo3bo6bobob
o3bob2o3b2ob2o37b2ob2o3b2obo3bobobo6bo3bo178b2ob2ob2o7b2o7b2ob2ob2o55b
3o22bo19bo27bo19bo22b3o55b2ob2ob2o7b2o7b2ob2ob2o$70b3o5bo2b2o2bob2o2bo
2bo3b2o37b2o3bo2bo2b2obo2b2o2bo5b3o178bo2bobo2bo7b2o7bo2bobo2bo51bobo
3bobo18b2o3b2o4bo4b2o3b2o25b2o3b2o4bo4b2o3b2o18bobo3bobo51bo2bobo2bo7b
2o7bo2bobo2bo$77b2o5b2o2bo2bo6b2o37b2o6bo2bo2b2o5b2o186bo5b2o4b2o4b2o
4b2o5bo82b3o11b3o31b3o11b3o82bo5b2o4b2o4b2o4b2o5bo$78bo6bo2bobo55bobo
2bo6bo196b2ob2o4b2ob2o59b2ob3ob3ob2o19bo15bo31bo15bo19b2ob3ob3ob2o59b
2ob2o4b2ob2o$37b2o159b2o155b2o3bo2bo3b2o59bo11bo16b2obobo11bobob2o25b
2obobo11bobob2o16bo11bo59b2o3bo2bo3b2o$37b2o159b2o155b2o10b2o58bo2bo7b
o2bo15b2obobob2o5b2obobob2o25b2obobob2o5b2obobob2o15bo2bo7bo2bo58b2o
10b2o$427bo4bo3bo4bo18bobob2o5b2obobo31bobob2o5b2obobo18bo4bo3bo4bo$
73b2o87b2o268bo3bo22bobob3o5b3obobo29bobob3o5b3obobo22bo3bo$73b2o8b2ob
o63bob2o8b2o262b6o5b6o99b6o5b6o$60b3o20b3o65b3o20b3o210b2o36b2o15b2o4b
o12b3o9b3o33b3o9b3o12bo4b2o15b2o36b2o$56bob2o3bo20bo67bo20bo3b2obo206b
2o45bo12b4o10b3obobobobob3o33b3obobobobob3o10b4o12bo45b2o$55b3o3bobo
109bobo3b3o250b2ob2o9bo3b2o10b5obob5o35b5obob5o10b2o3bo9b2ob2o$54bo3bo
4b2o107b2o4bo3bo250bobo8b3o5bo14bobo45bobo14bo5b3o8bobo$55bo7b3o105b3o
7bo227b2o11bo11bo6b2o4bobo17b3o45b3o17bobo4b2o6bo11bo11b2o$61bobo109bo
bo233b2o9b4o17b2o4b4obo11bobo3bobo39bobo3bobo11bob4o4b2o17b4o9b2o$60b
2o113b2o239b2ob2o3bo3bo12b4ob8o77b8ob4o12bo3bo3b2ob2o$59bo3bo109bo3bo
238b2o2bo5b4o22b2o8b2ob3ob3ob2o35b2ob3ob3ob2o8b2o22b4o5bo2b2o$63bo109b
o241bo2bo7bo3bo10b2o5bo13bo11bo35bo11bo13bo5b2o10bo3bo7bo2bo$60bob2o
109b2obo247bo2bobo10bo2bo3bobo11bo2bo7bo2bo33bo2bo7bo2bo11bobo3bo2bo
10bobo2bo$55bo4bo115bo4bo243bo15bo2bobo14bo4bo3bo4bo33bo4bo3bo4bo14bob
o2bo15bo$54bobo3b3o7bob2obob3o77b3obob2obo7b3o3bobo262b4o17bo3bo43bo3b
o17b4o$53bo3bo12bo3bo3b2o13b2obo43bob2o13b2o3bo3bo12bo3bo253b2o6b4o11b
6o5b6o31b6o5b6o11b4o6b2o$37b2o15b2obo3bo8bobo3b4o10b2ob2ob2o41b2ob2ob
2o10b4o3bobo8bo3bob2o15b2o232b2o4b2o3bo2bo7bo4b2o15b2o29b2o15b2o4bo7bo
2bo3b2o4b2o$37b2o20b2o12b6ob2o8bo2bobo2bo39bo2bobo2bo8b2ob6o12b2o20b2o
232b2o3b2o13b4o10b5o43b5o10b4o13b2o3b2o$79bo4b2o4b2o5bo41bo5b2o4b2o4bo
274b2o3bo13b2o3bo9b5o43b5o9bo3b2o13bo3b2o$59bo2bo21b2ob2o59b2ob2o21bo
2bo272bo5b3o7b2ob2o43b2ob2o7b3o5bo$59bobo21bo3b2o59b2o3bo21bobo275bobo
4b2o5b3o10bo23bo10b3o5b2o4bobo$23bob2o22b2obo34b2o59b2o34bob2o22b2obo
173b2o61bob4o4b2o5b3o9b4o19b4o9b3o5b2o4b4obo61b2o$22b2ob2ob2o16b2ob2ob
2o129b2ob2ob2o16b2ob2ob2o172b2o60b8ob4o6bo5bo3bo3b2ob2o11b2ob2o3bo3bo
5bo6b4ob8o60b2o$21bo2bobo2bo16bo2bobo2bo127bo2bobo2bo16bo2bobo2bo233b
2o22b4o5bo2b2o11b2o2bo5b4o22b2o$22bo5b2o4b2o4b2o4b2o5bo129bo5b2o4b2o4b
2o4b2o5bo239bo5b2o10bo3bo7bo2bo9bo2bo7bo3bo10b2o5bo$31b2ob2o4b2ob2o
147b2ob2o4b2ob2o203b2o33bo8bobo3bo2bo4b3o3bobo2bo27bo2bobo3b3o4bo2bo3b
obo8bo33b2o$31b2o3bo2bo3b2o147b2o3bo2bo3b2o203b2o34b2o9bobo2bo15bo29bo
15bo2bobo9b2o34b2o$31b2o10b2o11b3o119b3o11b2o10b2o238b2o8b4o69b4o8b2o$
56bo123bo273b4o69b4o$57bo121bo276bo2bo65bo2bo$46bo143bo270bobo57bobo$
45b2o143b2o269bo2bo55bo2bo$45bobo141bobo269bo2bo55bo2bo$462bo2bo3bo45b
o3bo2bo$34b2o165b2o260b2o4bo45bo4b2o$34bobo163bobo225b3o7b3o103b3o7b3o
$34bo167bo221bob2o3bo5bo3b2obo95bob2o3bo5bo3b2obo$423b3o3bobo5bobo3b3o
93b3o3bobo5bobo3b3o$23b2o21bo13bo115bo13bo21b2o208bo3bo4b2o3b2o4bo3bo
91bo3bo4b2o3b2o4bo3bo$22b2o21b2o13b2o113b2o13b2o21b2o172b2o34bo6bob2ob
2obo6bo93bo6bob2ob2obo6bo34b2o$24bo19bo2b3o3bo3b3o2bo111bo2b3o3bo3b3o
2bo19bo174b2o40bo3bobo3bo105bo3bobo3bo40b2o$48b3obobob3o119b3obobob3o
240bo2bo3bo2bo12bo79bo12bo2bo3bo2bo$11b3o38bobo127bobo38b3o224bobo79bo
bo$11bo36b3obobob3o119b3obobob3o36bo183b2o20b2o3b2o13b2o79b2o13b2o3b2o
20b2o$12bo36b2obobob2o121b2obobob2o36bo184b2o19bo2bobo2bo107bo2bobo2bo
19b2o$bo49b2ob2o125b2ob2o49bo197bobo19bo73bo19bobo$2o50bobo127bobo50b
2o193b2obobob2o14b2o75b2o14b2obobob2o$obo46b2obobob2o121b2obobob2o46bo
bo193b2obobob2o15b2o73b2o15b2obobob2o$50bobobobo123bobobobo242b2o2bobo
2b2o9bo85bo9b2o2bobo2b2o$47b2obobobobob2o117b2obobobobob2o56bo184bo5bo
10b2o85b2o10bo5bo$45bo2bobobobobobo2bo113bo2bobobobobobo2bo53bo202bobo
83bobo$44b5obobobobob5o111b5obobobobob5o248b3o97b3o$43bo3bob2obobob2ob
o3bo109bo3bob2obobob2obo3bo247bo101bo$46b2o2bobobobo2b2o115b2o2bobobob
o2b2o251bo99bo$50bobobobo123bobobobo$50bobobobo123bobobobo241b2o125b2o
$47b2obobobobob2o117b2obobobobob2o238bobo8b2o103b2o8bobo$47bo2bobobobo
2bo117bo2bobobobo2bo197b2o39bo10b2o103b2o10bo39b2o$45b2obobobobobobob
2o113b2obobobobobobob2o195b2o207b2o$50bobobobo123bobobobo$45bo6bobo6bo
113bo6bobo6bo222b3o151b3o$49b2obobob2o121b2obobob2o221b2o3bo13bo22bo
81bo22bo13bo3b2o$45b2o5bobo5b2o113b2o5bobo5b2o217b2o4bo8b3ob3o18b3ob3o
73b3ob3o18b3ob3o8bo4b2o$44bo2bo4bobo4bo2bo111bo2bo4bobo4bo2bo230bo6b2o
16b2o6bo71bo6b2o16b2o6bo$45bobo3bo3bo3bobo113bobo3bo3bo3bobo209b2o21b
2o3bo2bo3bo6bo3bo2bo3b2o73b2o3bo2bo3bo6bo3bo2bo3b2o21b2o$47bobob2ob2ob
obo117bobob2ob2obobo211bobo30b4o4b4o93b4o4b4o30bobo$44b2obo5bo5bob2o
111b2obo5bo5bob2o208bo32bo3bo2bo3bo93bo3bo2bo3bo32bo$46bob2ob5ob2obo
115bob2ob5ob2obo241bo2bobo4bobo2bo89bo2bobo4bobo2bo$44bo5bo5bo5bo111bo
5bo5bo5bo240bo12bo91bo12bo$42b2o4b3o5b3o4b2o107b2o4b3o5b3o4b2o192b3o
205b3o$42b3o2b2o9b2o2b3o107b3o2b2o9b2o2b3o192bo209bo$44b2ob2o9b2ob2o
111b2ob2o9b2ob2o195bo207bo$45bobo11bobo113bobo11bobo$42b2obo2bo9bo2bob
2o107b2obo2bo9bo2bob2o179b2o233b2o$42b2obobob2o5b2obobob2o107b2obobob
2o5b2obobob2o179bobo21bo22bo141bo22bo21bobo$43bobobo3bo3bo3bobobo109bo
bobo3bo3bo3bobobo180bo12b2o5b3ob3o18b3ob3o133b3ob3o18b3ob3o5b2o12bo$
45b4obo5bob4o113b4obo5bob4o195b2o4bo6b2o16b2o6bo131bo6b2o16b2o6bo4b2o$
45b2o13b2o113b2o13b2o202b2o3bo2bo3bo6bo3bo2bo3b2o133b2o3bo2bo3bo6bo3bo
2bo3b2o$46bob2o7b2obo115bob2o7b2obo169b3o41b4o4b4o153b4o4b4o41b3o$50bo
b3obo123bob3obo173bo43bo3bo2bo3bo153bo3bo2bo3bo43bo$46bo3bo5bo3bo115bo
3bo5bo3bo170bo40bo2bobo4bobo2bo149bo2bobo4bobo2bo40bo$48b3o5b3o119b3o
5b3o214bo12bo151bo12bo$51b2ob2o125b2ob2o161b2o287b2o$52b3o127b3o162bob
o285bobo$48b2o2bobo2b2o119b2o2bobo2b2o158bo289bo$47b2o2bo3bo2b2o117b2o
2bo3bo2b2o$46b2ob3o3b3ob2o115b2ob3o3b3ob2o211b3o17b3o135b3o17b3o$46b2o
11b2o115b2o11b2o187bo18b2ob2obo19bob2ob2o125b2ob2obo19bob2ob2o18bo$50b
o5bo123bo5bo189b4o17b2o4bob2o13b2obo4b2o125b2o4bob2o13b2obo4b2o17b4o$
45bo2b2obo3bob2o2bo113bo2b2obo3bob2o2bo183b2o3bo15bo2bo3bobobo11bobobo
3bo2bo123bo2bo3bobobo11bobobo3bo2bo15bo3b2o$44b7o5b7o111b7o5b7o169b2o
8bobo4bo23bobobob2o5b2obobobo137bobobob2o5b2obobobo23bo4bobo8b2o$39b2o
3b2ob3o3bo3b3ob2o111b2ob3o3bo3b3ob2o3b2o161b2ob2o7b2o3bo24bo3bobob2o5b
2obobo3bo133bo3bobob2o5b2obobo3bo24bo3b2o7b2ob2o$36b2ob2o11bobo127bobo
11b2ob2o158b2o3bo7bo3b2o24bobobob3o5b3obobobo135bobobob3o5b3obobobo24b
2o3bo7bo3b2o$36b2obobo10bobo127bobo10bobob2o154b3o2bo13bob2o9b2o207b2o
9b2obo13bo2b3o$36b2o2b3o10bo129bo10b3o2b2o154b2o2b3o10b2o2bo10b2o17b3o
9b3o143b3o9b3o17b2o10bo2b2o10b3o2b2o$36b3obobob3o17b2o30bo43bo30b2o17b
3obobob3o154b3o18bo2bo26b3obobobobob3o143b3obobobobob3o26bo2bo18b3o$
34b2o11bo16b2ob2o12bob2o9b4o41b4o9b2obo12b2ob2o16bo11b2o153bo15bo3bobo
bo26b5obob5o145b5obob5o26bobobo3bo15bo$41bo2bobo6bo4b2o4b2o2b4o8b2ob2o
b2o5b2o4b2ob4o25b4ob2o4b2o5b2ob2ob2o8b4o2b2o4b2o4bo6bobo2bo161bo2bo13b
2o5bo30bobo155bobo30bo5b2o13bo2bo$34bo2bo15bo4b2ob2o4bo4bo6bo2bobob2o
4bo3bobo2b2obob3o19b3obob2o2bobo3bo4b2obobo2bo6bo4bo4b2ob2o4bo15bo2bo
153b2ob2o2bo14b2obo30b3o155b3o30bob2o14bo2b2ob2o$39bo5b2o6bo3bo3b2o7b
2o13b2obo2b2ob3obobo3bo5b3ob2o5b2ob3o5bo3bobob3ob2o2bob2o13b2o7b2o3bo
3bo6b2o5bo162b2ob2o15bo28bobo3bobo149bobo3bobo28bo15b2ob2o$39b2o3bo2bo
13b2o19b2o4bo2bobob2ob3o3b4obo4b2o5b2o4bob4o3b3ob2obobo2bo4b2o19b2o13b
o2bo3b2o161bob2o2bo253bo2b2obo$43bo31b3o2b3o3bo2bobo5bobo6b2obobobo2bo
3bo2bobobob2o6bobo5bobo2bo3b3o2b3o31bo169bobo11b3o27b2ob3ob3ob2o145b2o
b3ob3ob2o27b3o11bobo$39bo3bo30bo8bob3obo2bobo2bob2o35b2obo2bobo2bob3ob
o8bo30bo3bo165b2o11b4o27bo11bo145bo11bo27b4o11b2o$39bo3bo4bo24b2o4bo3b
6ob2o2bo2bo41bo2bo2b2ob6o3bo4b2o24bo4bo3bo164b2o11bo2bo27bo2bo7bo2bo
143bo2bo7bo2bo27bo2bo11b2o$41b2o3b3o24b2o2b2o2bob2o7b3ob2o4bo6bo17bo6b
o4b2ob3o7b2obo2b2o2b2o24b3o3b2o164bo2bo11b3o28bo4bo3bo4bo143bo4bo3bo4b
o28b3o11bo2bo$49b2o3bo16bob3o10b3o2bob2o3b3ob5obobo15bobob5ob3o3b2obo
2b3o10b3obo16bo3b2o172bo16b3o31bo3bo153bo3bo31b3o16bo$45bo8b2o14b2o14b
obo2bo5b3o3bob2o4bo13bo4b2obo3b3o5bo2bobo14b2o14b2o8bo167bo3bo11b2o28b
6o5b6o141b6o5b6o28b2o11bo3bo$45b2obo4bo2bo12bo2b2o10b2o5bo4b2o4b2o4bo
19bo4b2o4b2o4bo5b2o10b2o2bo12bo2bo4bob2o167bo4bo9bo2b4o18bo4b2o15b2o
139b2o15b2o4bo18b4o2bo9bo4bo$47bo7bo17b2o8b2o2bo8b2o7bo5bob3o5b3obo5bo
7b2o8bo2b2o8b2o17bo7bo172b4o9b3o2b2o15b4o12bo157bo12b4o15b2o2b3o9b4o$
74b2o2b2o2b2o4b2o12bo7bobobobo3bobobobo7bo12b2o4b2o2b2o2b2o197bobo3bo
9bo19b2o3bo9b2ob2o153b2ob2o9bo3b2o19bo9bo3bobo$74b2o2b2o2b2o19bo3b2obo
4bo5bo4bob2o3bo19b2o2b2o2b2o193b2ob2o14b2o18bo5b3o8bobo155bobo8b3o5bo
18b2o14b2ob2o$77bo2bo26b2obo15bob2o26bo2bo196b2o2b4o23b2o9bobo4b2o6bo
11bo133bo11bo6b2o4bobo9b2o23b4o2b2o$73bo2bo4bo2bo22bobo17bobo22bo2bo4b
o2bo191bo2bo3bo14bo9b2o6bob4o4b2o17b4o129b4o17b2o4b4obo6b2o9bo14bo3bo
2bo$72b6o2b6o65b6o2b6o197b2o11b2o17b8ob4o12bo3bo3b2ob2o121b2ob2o3bo3bo
12b4ob8o17b2o11b2o$72b2ob8ob2o65b2ob8ob2o208b2ob2o16b2o22b4o5bo2b2o
121b2o2bo5b4o22b2o16b2ob2o$359b3o2b2o6bo26bo5b2o10bo3bo7bo2bo119bo2bo
7bo3bo10b2o5bo26bo6b2o2b3o$358b4o2bo8bob3o20bobo3bo2bo10bobo2bo137bo2b
obo10bo2bo3bobo20b3obo8bo2b4o$40bo37b2o77b2o37bo160bo2bo4bo35bobo2bo
15bo139bo15bo2bobo35bo4bo2bo$40bobo35b2o77b2o35bobo160b3o4bo9b2o23b4o
179b4o23b2o9bo4b3o$40b2o35bo2bo75bo2bo35b2o162b3o7bob2ob2o23b4o6b2o
163b2o6b4o23b2ob2obo7b3o$77bo2bo75bo2bo197b2o9b2ob2obo26bo2bo3b2o4b2o
153b2o4b2o3bo2bo26bob2ob2o9b2o$78b2o77b2o197bo2b4o4bo4b2o35b2o3b2o153b
2o3b2o35b2o4bo4b4o2bo$357b3o2b2o6bo39bo3b2o153b2o3bo39bo6b2o2b3o$358bo
9b2o3bo237bo3b2o9bo$357b2o3b2o9bo237bo9b2o3b2o$361b3o8b3o235b3o8b3o$
354bo2bob3o261b3obo2bo$353b3obobobo8bo5bo231bo5bo8bobobob3o$370b2o3b2o
231b2o3b2o$350bobo20bo13b2o14bo177bo14b2o13bo20bobo$349b5o18bobo12b2o
12b2o179b2o12b2o12bobo18b5o$348bo4bo48b2o177b2o48bo4bo$351b2o20bo237bo
20b2o$33bobo165bobo147b3o18b3o235b3o18b3o$33b2o167b2o148bo18bobobo233b
obobo18bo$34bo167bo167b3ob3o231b3ob3o$353b3o17bo237bo17b3o$353b4o13b2o
bob2o231b2obob2o13b4o$354bo2bo269bo2bo$355bo2bo267bo2bo$356b3o2b3o8b3o
235b3o8b3o2b3o$358b3obobo8bo237bo8bobob3o$358bo4bo6b2o3b2o231b2o3b2o6b
o4bo$359b2o9b2o3b2o231b2o3b2o9b2o$371b5o233b5o$373bo21bo193bo21bo$373b
o21bobo189bobo21bo$372b3o12b2o6b2o191b2o6b2o12b3o$27bo181bo160bo5bo10b
2o207b2o10bo5bo$26bo183bo158bo2bobo2bo229bo2bobo2bo$26b3o179b3o158bo7b
o229bo7bo$371bo3bo233bo3bo$369b2o5b2o229b2o5b2o8$482b2o17b2o$388bobo
91b2ob2o11b2ob2o91bobo$388b2o86b2o4b2o2b4o5b4o2b2o4b2o86b2o$389bo42bo
5b3obo5bob3o5bo17b2ob2o4bo4bo3bo4bo4b2ob2o17bo5b3obo5bob3o5bo42bo$21bo
193bo211bob2ob2o4b3ob2o3b2ob3o4b2ob2obo6b2o4bo2b2o7b2o5b2o7b2o2bo4b2o
6bob2ob2o4b3ob2o3b2ob3o4b2ob2obo$19b2o195b2o169b2o37b2ob2obob3o2bobo2b
obo2bobo2b3obob2ob2o5b2ob2o4b2o23b2o4b2ob2o5b2ob2obob3o2bobo2bobo2bobo
2b3obob2ob2o37b2o$20b2o193b2o170b2o36bo2b2o5bo3bo2bobobobo2bo3bo5b2o2b
o3bo3b2o35b2o3bo3bo2b2o5bo3bo2bobobobo2bo3bo5b2o2bo36b2o$435bo3bo4bobo
4bo3bo17b2o35b2o17bo3bo4bobo4bo3bo$428bobo7bob2o7b2obo7bobo59bobo7bob
2o7b2obo7bobo$429bo11bo7bo11bo61bo11bo7bo11bo$440bo9bo83bo9bo6$382bo
219bo$381bo221bo$381b3o217b3o!


Block puffers make "shields" that occasionally block a glider from hitting the delicate ship parts. It would be nice to have stuff to make c/4 ships from.
Unsorted C/3 search output? Somewhat newish C/3 edgesparker? give it to me, and my "battleships" just may have a use for it. :)
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Re: List of C/4 puffers & rakes?

Postby Sokwe » September 29th, 2011, 12:03 am

This topic reminded me of a project that I abandoned a while back: a potential p76 c/4 orthogonal puffer engine. It didn't take me too long to find a suitable stabilisation this time:
x = 65, y = 40, rule = B3/S23
30bo3bo$30bo3bo$29bobobobo2$28bo7bo$25bob2o2bobo2b2obo$25bobo2b2ob2o2b
obo$24bob2obobobobob2obo2$30bo3bo2$26b2ob2o3b2ob2o$26b2o9b2o$29b2o3b2o
$30bo3bo$29bo5bo$3b3o13bo8bobo3bobo8bo13b3o$2bob2o12b4o5b4o3b4o5b4o12b
2obo$bo3b4o9bo2b2o3bo2bo5bo2bo3b2o2bo9b4o3bo$2o3bo4b4o3b4o2bo2bob2o5b
2obo2bo2b4o3b4o4bo3b2o$o4bo5b4ob3o4bo4bo7bo4bo4b3ob4o5bo4bo$7bo4bobo3b
o9b2o5b2o9bo3bobo4bo$5b2o7b2obo3b3o17b3o3bob2o7b2o$10b2o4bo10bo9bo10bo
4b2o$28bo7bo$22b2o4bo7bo4b2o$21bo2bo15bo2bo$22bobo2b2o7b2o2bobo$21b2o
2b3obo5bob3o2b2o$21b2o2bo3bo5bo3bo2b2o$26bobo7bobo2$22b6o9b6o$25bob2o
2b3o2b2obo$25bobo9bobo$22b2obo2b2o5b2o2bob2o$21b2o3bo2b7o2bo3b2o$24b2o
13b2o2$31b3o!

Astoundingly, this can be modified to form a period-24 rake using a spaceship by Nicolay Beluchenko:
x = 65, y = 66, rule = B3/S23
30bo3bo$30bo3bo$29bobobobo2$28bo7bo$25bob2o2bobo2b2obo$25bobo2b2ob2o2b
obo$24bob2obobobobob2obo2$30bo3bo2$26b2ob2o3b2ob2o$26b2o9b2o$29b2o3b2o
$30bo3bo$29bo5bo$3b3o13bo8bobo3bobo8bo13b3o$2bob2o12b4o5b4o3b4o5b4o12b
2obo$bo3b4o9bo2b2o3bo2bo5bo2bo3b2o2bo9b4o3bo$2o3bo4b4o3b4o2bo2bob2o5b
2obo2bo2b4o3b4o4bo3b2o$o4bo5b4ob3o4bo4bo7bo4bo4b3ob4o5bo4bo$7bo4bobo3b
o9b2o5b2o9bo3bobo4bo$5b2o7b2obo3b3o17b3o3bob2o7b2o$10b2o4bo10bo9bo10bo
4b2o$28bo7bo$22b2o4bo7bo4b2o$21bo2bo15bo2bo$22bobo2b2o7b2o2bobo$21b2o
2b3obo5bob3o2b2o$21b2o2bo3bo5bo3bo2b2o$26bobo7bobo2$22b6o9b6o$25bob2o
2b3o2b2obo$25bobo9bobo$22b2obo2b2o5b2o2bob2o$21b2o3bo2b7o2bo3b2o$24b2o
13b2o2$22bo8b3o$11b3o7b3o$21b3o19b3o8bo$11bo2bo8bo20bo8b3o$15bo7b3o5b
3o18bob2o$12bo2bob2ob2obobo16b2o8b2o$13b3o2bobo3b2o5bo3bo5b2o2b2ob2o2b
2o$12bo4bo2bo4bo2bo2bo3bo5bo4bobo3b2o$12b6ob3o3bo2bo3bo2bo3b2o3bobobob
o$11bo4bo3bo4bo5b2o5b3o4bo5b4o$12bo2b6o3bo2bo4b2o5b2o5bo3bo3bo$13b2o3b
2o4b3o12b2o6bo3bobobo$11bobo10bo16b3o3b2obo$11bo2bo38b2o$10bobobo8b2o
28b3o$13b3o26b2o8bo3bo$13b3o6b3o17b2o8bo3bo$13b2o28b2o7bo$13b2o37bo$
10b3o40bo2bo$28bo24bo$27bo27b2o$10b2o15b3o$10b2o43b2o$11b2o42bo2$54b2o
!

Further discussion of this particular puffer engine should go here.
-Matthias Merzenich
Sokwe
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Re: List of C/4 puffers & rakes?

Postby edwardfanboy » October 6th, 2011, 2:28 am

IN GOLLY.
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