Spaceship Discussion Thread

For discussion of specific patterns or specific families of patterns in Conway's Game of Life, both newly-discovered and well-known.
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dbell
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Re: Spaceship Discussion Thread

Post by dbell » November 21st, 2023, 4:49 am

Here are are couple more diagonal c/4 results.

I found a reaction to detect blinkers in a sparse blinker trail and emit gliders for each one.

Code: Select all

#C A reaction using a diagonal c/4 ship which converts input gliders from
#C a period 116 side rake to output gliders whenever blinkers are present
#C in a sparse blinker trail, while slightly shifting the blinkers.
#C David I. Bell, November 2023
x = 210, y = 66
124bo$124bo$124bo49$198boo$186b3o9bobo$186bobb3o6bo9bo$187bobo16boobo$
192bo4boobbo3boobbo$190bo6boobboboobbo$192boboobo3b5o$182bo18boo$182bo
10bobb6o$182bo11b7o$196b3o$$3o55b3o55b3o55b3o$bbo57bo57bo57bo$bo57bo
57bo57bo!
I wanted to be able to delete the output blinkers, but I couldn't find any reaction which fit. If found, it would be a blinker to glider converter for sparse blinker trails.

As mentioned in my previous message, here is a rather large convoy which period doubles a blinker trail.

Code: Select all

#C A diagonal c/4 convoy which doubles the period of any blinker puffer
#C which is a multiple of 116.  The blinker at the upper left shows the
#C attachment of the convoy to the end of the blinker trail.
#C David I. Bell, November 2023
x = 461, y = 485
228bo$227boo$227bobo$$230boo$227bobboo$226boo$226boboo$229boo$228bo$
225b6o$223boobobo$222bo4bo$221bo4bobboo$209boo10bobbo$208boo10bo4bo$
210bo5boobboobo$212booboo3bobo$211bo5bob3o147b3o$217boobobbo15boo128bo
$192boo7b3obbobo3bobbobbobobbo14boo130bo$191boo8bo3bo4bo3boo24bo131boo
$177b3o13bobboo5bobbo3bo3bobo25bo130bo$177bo9bo7bobobbobbobbo3bo30bobo
$178bo6bobbo6bobbobo6bo32boo128boo$180boobboo3bo4boobobobbooboobbobobb
3o23boo120b3o5boo$181bo7booboo3bob3obb4o6bo25b3o119bo6bobo$185bo6bobob
o3bo4boo8bo9boo9b3oboo121bo4boo$181boo3bo3b5obo3bo4bo14bo3boo3bo5bobbo
126b4obo$180boboboo4b3o3bo5boboo13boo3boboboo4bo131boo$180bobobboboob
3o4bo4bo3booboboo5booboboo9bo135bo$179bo4boo7bobboo7bobo3boo4boo3b3o9b
oo133bobo$179boo16bo12boob4o12bo140bobo$179boo9boo10bo11boobo4b3o3bobo
boo103boo$185boobb4o8boo11boo6bo4boo4boo101boo32bobboo$185bobobobo9bob
o11b3o5bob3obbobboo5bo97bo18bo12bobboo$188boboo3boo35bo6boo76boo21boo
14boo13bo$184b3obboo4bobo3bobboo10bo7bo9bobobbobo74boo3bo6bo5boo3bo16b
obo9boboo$185bo4bo4bo3bobo14bo8bobo7booboo78boboo5boo5boo12b3o12bobob
oobo$187boo9boo5bobo27bo4bo79b3o3bobboboo3boo3bo4boo3boboo4boobobbobob
o$185b5o9bo9bob3o106bo4b5o7bo7bobbobobbo6bobbobbo12bo$185bobo15bo3bo3b
3o101b3o4boobbo5boo3bobbo3bo5bobob4o5boobo11boo6b3o$186bobbo7b3o3bo5bo
105bo7b4obo10bo3boobo8bo3boobboo13bobo5bo$188boo4boo3bo11bo104bo6bobbo
bo22bobobo3bobb3obboo18bo$186booboo3bobboboboo6bobo60bo45b3obbo4bobobb
oo4bo3b3oboo3bo6bobboobbooboo4b3o11boo$189boo3bobo11boo5boo54boo50bo3b
o4boobbobobob3obbo3bo5bo4boobobbob3obbo12boo$185bobobo11bo8bo4bobo53bo
bo7boo38boo3bobb3obb3o4bo4bo4bo7bobbob4obboboob3o3b3o$184b3obbo11bo8b
3obbo62boobo31b3o3bob4obo3boo3bo3b3obbo10bo3bobbo3bo3bobo3bo4bo5bo$
184bo4bobbo6bo14boo58boobboo28boo3bo4b3o5bo9b3o4bo3b5ob3o6bo8boobooboo
3bo4bo$192bo6bobo7b5o60boobboo28bobo5boboo8b3o4boobo4bo4boboo5bo5bo8b
3oboobo4bobbo$189boo7bobbo9b3o61boo31bo3bo3bobo9boo5bo4bobbobbo17bo9b
oo7b3obbobo$189boo3bo4boobo7bobo62b4obo5bo9boo13boo3b4o8boo15bo18bo$
189bo4bobboo12bo62boboboobobb3obboo5bobo12bo11boo$190booboobobo74boo8b
oobobbobbobo15b5oboo3bobo9boo12b3o26boob4obbo$192boobooboo73boo3b3o3bo
5bo3boboo15booboobbo3bo8bobo3b3o5bo29bo3bo$195boobo17boo55bo10bobbobo
23bobooboo3bob5o3bo5bo8bo29bo$197boboobo13bobo55b3o9bobb9obboo6bo4bo4b
o4bob6obbobo4bo9b3o$197boobobbo6boo4bo61boobbooboobobbo6boboo5boo3bob
oo4bo5boo3bobobo6bo$182bo6b3o3bobbo3bo7bobo4bobo58boo3boo5bo5bo5bo4bob
o3b8o11bobboo4b4o4boobo$181boo6bo4b3obboo9bo6b3o49b3o3boo20b5obbo9b5o
9bo5boobb3o4boob4o$181bobo6bo3bo5bo12bo55bo4bobbobbobo16b4o7bo18boo11b
oo$186bo7boo4boo11boobobbo50bo6b5o11boo8bobbobobbo6bo19bobbo5b3o$184bo
boo6b8o14b4o53bobobb3o5boo4boobo11boobbo7bo19boo$183boo3b3o4b5o8boo8bo
bbo50boo4b3o4boo5bo10boo6bo6bo4bo$180boo6boobbo15bobbo5bob3o49boob3o
10bo3b3o8boobo3bobo11boobo$179boo5bo21bo3b4ob3o61boo9bo7boboobboo3bobb
obo5bobobbo$174boo5bobobobbo4bo16bo6bo56b3o11boo3bo4boo7boobbobbobo5bo
$169boobboo8booboboo3bo4boo11b5o3b3o51bo4bo8boobobo3boboo4boboobboo3bo
6boboobo$169bobo3bo5bo4bobbo3bo3bobo12boobobo52boboo3bo5boobb7obbobbo
6bo3bo$169bo10bo3bo3boo6bobbo7boo7bo52b4ob5o4bobo3b4o3bo8bobo$170boo4b
3obo3bobboo8bobo7boo60bobo3boobobobbo16boo4bo24bo$93b3o74bobbo4boobbo
4bobboo6bo78boobo5bo45bo$170bo7boobo93bobbo7b3o39boobboo$172boboboo3bo
3b3o18bo62b3obboo3boo7bo39boo$173boob3oboo3b4o16bobboo29boo29boobobbo
11boo41boo$177bobo5bobo17bo4bo27boo3bo26boobo5bo9boo22boo16boo$172boo
5bobo5bobbo14bo4bo29boboo19b3o4boo4bobbo9bobob3obboo12boo15bo3bo$175b
oobboo6bo12bo5bobbo32b3o18bo7bobobo4boo9boo4bo3bo5boo4bobo12boo3bo$
170boo6b6o3bo3bo7bobo6boo32bo21bo14boo9bobobbo5bo4boo5boobo10bo4bo3bo$
170boobobb3o3bobobbo11bobo42b3o19b3obbobo15boobobbobb3o7bo5bobo10b4o4b
obo$171b4obboboo3bo5boboo6bo36boobo4boo20b3o10bo8bo7bo12boobbobo19bo$
172boo8bo5b3o46boboo3bobo22boo4bo5boo27b4obbo68boo$173bo6boo8bo40boo4b
oboo3b3o23boboboo7boobo8b3o14boobboo66boo$177boo8boobbo38boo6bo5b3o18b
3o4bobobo3bo3bobo7boobbo6boo6bo4bo67bo$171bobo3bobo6b6o39bobo4boo4bobo
18bo14bobobobo9bo7boo3b3oboo3bo17bo51boo$170boo5boboo5bo5bo38b3o4boobb
oo24boo11b3o22bob4obbobo18bobo49bo$170bobo9boo6bobo38boo6bobo23bobboo
8boobbo31bo19bobbo$166boo4bo5boo3bo7boo13boo25bobo3boo3bo23bo9bo3bo25b
o3bobbobo17boo49bobbo$166bobo3boo4boo25bobbo3bo26b4o20boboo11bo29bo3bo
4bo67boo$166bo6boo5b3o10bo18b4o8boo9bobo24b3o3bo11bobbo29bo70bo$169bo
7boobobo4boobbooboo9boo6b3o7bobbo10b4o20b3obo3bo9b4obo76boo17boobbobo$
106b3o60boo7boboo4boo3b5o11b4obbo10bobo10b4o19b4obobbo13bobbo75bobo16b
obobbo$106bo71bobo7bobboboo15bobbo11bo12boo21bo14b3o5b3o74bo14bo3bobo$
107bo69boob3o7booboo16boo42booboboboo12bo8b3o74boo11boo4boo$109boo63b
oo5boo8bo58boo3bo4bo18bo6boo74bobbo9bobo3boo$110bo63boo3bob3o7bo42bobo
13bobobbo20bobbobb3o77bo17b3o14boobo$105b3o65bobobobo11boo40b3o14bo6b
3obobo13bo4bo81bobob3o7bo3bo14bo3bo$105bo66boobboo15bo36boob3o3boo12bo
3boo3bo15bo3b3o87bo4boobbo15bo4bo$108boo61b3obb3oboo4boo37boobboo8b3o
11boo28boo46b3o32bo9bo22boo$105bobboo61bo5boob3obboo4booboo29boo3boobb
o4boo42bo47bobb3o11bo6boo4boo4b4oboob4o22bobo$108bo61booboo5bo6bobbo
43boo3bo43b3o46bobo12bobo5boo4boo14boo$103boboo64bobo60bobboo40bobbo4b
o49bo9bobbo45bo6boo$102b3o3bo63bobooboob3o5boobbo42b3o40b3o6bo47bo12b
oo8bo36b5o4bobbo$101b3obo3bo62bobb4ob3o7bo32boo11bo40boo9bo48bobo15b4o
30boo4bo6boo$88boo10b4obobbo63boboo47boo51boo7boo43boobo6bo13bo3bo30bo
bo11bo$88bobo10bo70bobobo4boo56bo37bo51boo3bobbobbo12boobo32bo5boboo6b
obo$88bo6booboboboo70bo5boo56bobo20b3o4b3o14boobo34b3o4bobbobbo3bo12bo
bo34boo4bo4bobo$91bo3bo4bo67b3obboo6bo55bobbo20bo6bo8bo7bobbo34bo6bobb
obbo3bo49bobbo6b3o$91boobbo72bo69boo14b3o6bo5bobb5o8bobo38bo3bo6bobo
50bo6booboo$91boo4b3obobo14boo49bo5b5o74bo6bobo7bo51bobbo8boo55bobobo
bbo$71boo8boobbo6boo3boo3bo15bobo50b6o78bo4boob4o5boo50bobbo6b3o34boo$
71bobo6boo3b4o4boo23bo53b4o48bo32b4ob5oboo55bo5bo3bo34b3oboo18bo4bo$
57boo12bo4bo4boobb5obo29bo50boobb5o42b5o30boo7boobo56boboboobo28boo6b
oob3o18b4o$56boo17boo3boo12boo24bobo35boo12b3o4b3o41bobboo101boo32boo
5b3oboo$58bo6b3o6boo3boo5boobobo28bobo34boo13boo7b3o41boobo104bo36boo$
60boobb3obo3bo3bobobbo3bo8boo24bo38bo11bo7bo3bo80bobbo$60b4o4bobbobbob
obobbooboo3bo3boo25bo40boo9bo3boo50bobo32b5obo60bobbo$62b3o3bobbo4bobo
bboo3bobo6bo8boobo8bo3bo39bo12bobboobbo82bo6bo$63bo8boo6boobo20bo3bo6b
3obo50b4oboobboo49b3o31boboo3bo$59b3oboobobboobb3o3bob4o13b3o3bo4bo4b
oo43bobbo7bo5bobo52b3o38bo$59b3obbobobboobb3o9boboobo7bo3bo3boo5boo36b
oo5boobbobo4bobbo3bo51b6o35bobo$63bobbo5b4o6boobo3boobobboo4boo11bo35b
oo5bo5bobobboboo5boboo177bo$58boo4bo8bo3bo11bo3bo3bo4bo49bo4bobo4b3ob
4o10bo48bo38bobbo83boo$58bo10bobbo4bo15bobb4obboo3b3o3bo40boobbo9boo8b
o3bo48bo38bobbo83bobo$65bo3boo9b3o11bobbo3bo5bob4o41boo10b3o9boo51bo
39boboobo$64b4obbo9bo13b3o5bobobboboobo54boo10bobobo87boobbobo33bo48b
oo$64bo4bo5bo5bo21b3o6bo3bob3o56bobo3bo41b3o3boo39bo5bo31b5o45boo$63b
3obboo4boo7boo9b3o7b3o9bobo57boo5bobboo37bo46bo37bobboo$67bo6bobobboo
3bo20boo6boo5bo55bobbobbo3boo38bobboo46bo34boobo40boboo$69bo8b3o3b3o
28bobboo53b3o4boo4bo42booboo41bo79b4o$64booboo9boboo4b3obboo80bo13bo
36bo4bo48bo36bobo37bo3boo4boo$64bobobobo8b3o5bobboo82bo10boo36b4oboo
47b3o80bobb3obo$68boo6bo3boo6boo89boo4b3o35bo49bobbo3bo27b3o6b3o47bo$
65bobbo5b4ob3o7b3o86boo6boo36boo3bo43b7o23bo4bobb3o4b3o38boo4bo$68bo4b
oobobobo7bo91bobbo39b6o36boo7bo3bo23boo5boob5ob3o38boo4b3o$65boobo4bo
14bo6bo86b3o29boo6boo41boo35bobo3b3o4booboo40bo3bobbo$68bo5bo13boboobb
oo86boo30bobo3boobbo89bobo43bo5b3o$63boobobobo8b3o12bobo77boo5boo31bo
5b3o81b3o6bobbo31bo12boo3b4o$63bobbobobbo17bobbobo78boo6boo34bo85b3o7b
o33b5o17b5o$64bo4bobo6boo8bobbo3bo79bobbooboo34boo18bo67bobob4obbo31bo
bboo19b3oboo$71boo5b3o7bobbo85boo57b5o66booboo37boobo15boobbo3bo$68boo
boo4bo4bo8bo85boo57bobboo66b6o63boo14boo$68booboo9bo6boo147boobo110bob
o18booboo14boo$70bobo3boo297b3o$73bob3o163bobo101b3o6b3o17bobo$71bo3bo
3bo16bo206b3o34bo4bobb3o4b3o17bo$76bo4bo13boo137b3o6b3o93boo5boob5ob3o
$73bo3boboobo7bo4bobo131bo4bobb3o4b3o56bobbo32bobo3b3o4booboo31b3o$69b
oo3bobb3obo7boo137boo5boob5ob3o57b3o44bobo42bo$60b3o5boo3boo3bo10bobo
5boboo127bobo3b3o4booboo95b3o6bobbo36bo3bobbo$60bo9bo5bo19boo142bobo
97b3o7bo31boo5bo3b3obo$61bo3bo6bo6boo11boobboo132b3o6bobbo61b3o35bobob
4obbo28bobo4boo3bobbo$63b3o7b7o12boobboo131b3o7bo60boo3boo37booboo32b
oo9boo$62boobo3bo18bo4boo4boo130bobob4obbo58booboboo37b6o$59boo4b4obo
16b4obb4o4bo131booboo62b4obo$59bo5boobb3o15bobb3o3b3o134b6o24bo40bo$
53boo4bo7bob3o4bobo10bo9bo163bo$49bo3bobo5b3ob3obboo3bobbo11b5obbo$48b
oo3bo9boboo3boo3bo18bo4boo205bo$48bobo5bo3b4o3booboo3bobo17boo208bobo$
56bobb3obo3bobbo4b3o227boboo$50b3o3bo3bo5bobboo234bobo$49b3o6boo5bo23b
oo214boo$51bobo4boo28bobbo202boo5boobboo$53b5obo4booboo20boo27boobo
172boo4b3obboboo$54bo4bo4bobo51bo3bo177boo3boboo36bo$52bobo12boo20bo
28bo4bo176bo4bo3bo33bobbo$51b5obb3o6b3o17boobo29boo183bobbo34bo3bo$50b
obo4bo9b3o16boo3bo30bobo181b3o34bo4b3o64b3o$49boobob3o4b3o3boobbo13bo
3bobo214bo34boboobobbo32boo$51boo5bobb3o3boo3bo13booboboo24bo6boo214b
oobbo4bobo29boo3bo23bo6bo10bo$56boboobo6bo3bo14bobo26b5o4bobbo209b4obb
oo3boboo30boboo21boobo15boo$51bo6boo9bo18boobo18boo4bo6boo213boo4b4obo
bo33b3o20boo17bobo$51bobo3bo12bo19bo8bo10bobo11bo172bo49boboo34bo$53bo
bboo7b5o29bo10bo5boboo6bobo167b5o86b3o60bo$49boo5bobo6bo5bo27bo11boo4b
o4bobo171bobboo79boobo4boo59boo$49boo7booboo3bob4o39bobbo6b3o174boobo
78boboo3bobo32bo26bobo$46bo4bo5booboo8bo24b3o3b3o7bo6booboo251boo4bob
oo3b3o25b3o4boo$45boo4b3o6bo52bobobobbo180bobo69boo6bo5b3o25b3o5boo27b
oo$45bobo9bobboo9bobo25bo274bobo4boo4bobo62boobb3o$49bo4bobobbo6boo3bo
bbo24bo15bo4bo173b3o6b3o68b3o4boobboo34bo34boobo$48bo4bo3bobobbo3bobo
bbobbo24bo16b4o169bo4bobb3o4b3o67boo6bobo34boobo31bo4bo$48bobbo6boo6bo
3bobbo17boo195boo5boob5ob3o69bobo3boo3bo32bobo30b3o4bo$57bo11boobo18b
oo195bobo3b3o4booboo76b4o35bo31bo5bo$54boboobb3o7bobo34bo192bobo75bobo
59boo12bobobboo$53booboobo10bo35bobo181b3o6bobbo77b4o55boo$52bo3bo6bo
7bo33bobbo180b3o7bo80b4o57bo9b3o$51bobbo3bo3bo8bo34boo183bobob4obbo13b
3o63boo60boo6booboo$51bo4boobbo4boo6bo219booboo17bobb3o122boobboobbob
3o$50bobo3bo3boo3bobo3bobo219b6o17bobo127boobobboo$50bo9bo4bo4boobo
247bo125bo4boo$50boboo6boo6boboo247bo124boo3bo$51bo3bobooboo6bobbo249b
obo120boo$53bobbo11bobo243boobo6bo119bo$51boobbo4bo252boo3bobbobbo120b
ooboo$51bobo6bo246b3o4bobbobbo3bo14bo19boo86bobo$53b3o3boo80boo164bo6b
obbobbo3bo14boo17boo$48boo3bo69bo16boo168bo3bo6bobo10boo3boo11boo5bo$
47boo4bo3bo3bo61bo10boo5bo165bobbo8boo12b3o5bo9boo5boo$49bo74bo8boo5b
oo166bobbo6b3o11bo20bo4bobobboo$51bobb3oboo65boo8bo4bobobboo162bo5bo3b
o13b3o3bobbo12boo3boob4o$51boobo70boo10boo3boob4o162boboboobo15b9o12b
oo10bo$102b3o32boo10bo163boo22boo3bo24bo$37boo12bo3b6o41bobb3o12b3o26b
o167bo3b3o15b3o19bo88boo$37bobo10bob6o3bo41bobo14b5o18bo177bobb3o12b3o
19bo3bo65boo16bobbo$37bo15b3obbo3boo44bo12b5o17bo3bo166bobbo4bobo35boo
boo65boo17bobbo$40bo9boo5boo47bo8boo6boo17booboo180bo32bo3boboo64bo$
40boo10boobboboo48bobo4boo8bo16bo3boboo175bo35boob4o66boo17bo$40boo8b
oo3boobo52bo7bo5bo17boob4o177bobo36boobbo62bo5bo10bobbo$39boo8boo4bobo
50bobbo6bobo5bo21boobbo167boobo6bo36boobo66boobo9bobbo3boo$30boo6boo3b
o7bo4bo51bobbo8boo27boobo166boo3bobbobbo6boboo27bo69bo3bo8boo4boo$30bo
bo3boobbobobobooboo5b4o48bobbo11bobbo23bo162b3o4bobbobbo3bo5b5o27boo
64boobb3o$30bo5b3o4bo4boo7bobbo62bobbo23boo161bo6bobbobbo3bo5b4o28b3o
63boobo$33bo10bo12b5o47bobo12boo7boo15b3o163bo3bo6bobo38boobbo49bo13bo
3bo$33boo11boo10bobbo49bo21boo15boobbo158bobbo8boo10b3o32bobo46boo11b
oo5boo8boo4boo$46boo12b3o91bobo157bobbo6b3o10b3o29bo3bobo45bobo10b3o
13bobbo3boo$56b3obobo42boo4bo39bo3bobo31b3o123bo5bo3bo12bo30b6o4b3o43b
o7boboo13bobbo$56boboobo3bo38boo4boo39b6o32bobb3o122boboboobo46b3o5bo
44bo3booboobobbo15bo$56boboboo3boo39bobboboo40b3o34bobo126boo59bo43bo
3boob3o$53boo5bo6bo40booboo82bo127bo106boboo15bobbo$52boo7bo3bo127bo
232bobbo4bo14bobbo$54bo10bo36b3obbo26boo59bobo122bobbo58bo43b3o21boo$
58boo5boo35bobb3obo23bobo52boobo6bo182boo42bobbo$58bobo4bo37b6o26bo51b
oo3bobbobbo147bobo32bobo42bobobo$58bo3bo118b3o4bobbobbo3bo147boo29boo
4b3o45bo$61boo31bo6boo78bo6bobbobbo3bo148bo35b3o41bo3bo$62bobbo27boo5b
obbo22bo57bo3bo6bobo186bo$53boo38bobo3boobo22boo44b3o7bobbo8boo176bo5b
o$53bobo3b3o35bo26boo56bobbo6b3o31b3o142bo3b4o$53bo3bo4bo33bo27boo57bo
5bo3bo32bobb3o97b3o39boboo3bo$56boo38bobbo15b3o11boo45bo8boboboobo34bo
bo99bobb3o39boobo$56bo5bo52bobb3o8bo46boo9boo43bo97bobo41booboo$116bob
o9bo62bo38bo104bo43bo$121bo5b3obboo41boboo53bobo98bo45boo$119bo7boobo
43boobbo9bobbo33boobo6bo99bobo40bo$121bobo3booboo44bo47boo3bobbobbo92b
oobo6bo$114boobo6bo3bobo41b3oboo40b3o4bobbobbo3bo91boo3bobbobbo$113boo
3bobbobbo4bo44bobo41bo6bobbobbo3bo85b3o4bobbobbo3bo$107b3o4bobbobbo3bo
45bobo48bo3bo6bobo86bo6bobbobbo3bo$107bo6bobbobbo3bo44boobbobo42bobbo
8boo92bo3bo6bobo$110bo3bo6bobo43boboobbobo43bobbo6b3o89bobbo8boo$107bo
bbo8boo46bobo50bo5bo3bo91bobbo6b3o$108bobbo6b3o41boo58boboboobo93bo5bo
3bo$109bo5bo3bo42boo60boo99boboboobo$111boboboobo109bo98boo$113boo94bo
121bo$117bo3bo86boboo13bobbo$120boo86bo4boo5b3o105bobbo$114bobbobbobo
83b3o4b3o6bo$205boobbob4o4bobbo$123boo81bo4bo4boob3o$123boo82booboobbo
$208bo4bo$114bo6boo88bo$113boo5bobbo$113bobo3boobo$117bo$116bo$116bobb
oo$121bo$120bobo$121boo$87b3o32bobo$87bo36boo$88bo18boo12b5o49b3o$67b
3o20boo15bobo10boboo51bobb3o$67bobb3o5boo5boo4bo8bo6bo10booboo53bobo$
68bobo7b3o3boo12b4o8bo4bobbobboo58bo10b3o$73bobbo3boo4b3o8boo3b4o4b5ob
obobo58bo$67bo3bobbobobb4obo3boo6b3oboo5bobb5obboo10boo7bo42bobo8bo$
66boo5boo5bo8bo4boo4bobob4obboobo15bobo5boo35boobo6bo6bo$66bobo8bo16b
3o5b3o4b3o6bo10bo7bobo33boo3bobbobbo5bobo$70bobboobbobo17boo4bobo3boob
o3b5o6boo38b3o4bobbobbo3bo$22boo46bobb3o3boobb3o4bobbobb4obboo5bobbo3b
oo3bo4boo12boo25bo6bobbobbo3bo21bo$22bobo45b3obo3boo3bo3boob4o4boobboo
5bobbo6bo3boo8bo5b3o28bo3bo6bobo20b3o$22bo8b3o31bo5boobb4obo3booboo6b
oo12bobboobobbobbobb3obo3boo5bo27bobbo8boo24bo$25bo3booboo30boo3boo3bo
bboobobobbo3b5o4b3oboobbo5boo3boobbo7bobbobo33bobbo6b3o$25boobo30boo3b
obobo3b3obobo3bo6bobob3obboobboob3o5boo10bo3bo7b3o29bo5bo3bo15boo$28b
3o27boo11bo6boobo4bobboobb3o3bobboobo8bo7boo4bo6b5o31boboboobo15boo3bo
$60bobbobboo10bo7boo7bo18boo9b3o6b3o36boo21boboo$25bo3bobo5bo9boo13boo
3boboo8boo54bo41bo20b3o$24boobob3obboobooboo4boo18bo6b3o23bo31boo65bo
147bobo$28bo5bobbobbobobobbo13boobboboo4boo9boo5bo6boo27b3ob3o40bobbo
22b3o143boo$23bo6bo4bo3b3obbobo15bo7boob7o3boo5boo6bobo26booboboo59boo
bo4boo144bo$24bo5bo5bobboobbo19boobooboo3bo6boboo5bobo9bo90boboo3bobo$
25boo7boobobbob7ob3o5boo3boobb3o11bobbo17bo84boo4boboo3b3o35boo$26bob
3obboob3o5boo4boobo4bobobbo7bo4bo3b3obobo6bo6bobbo82boo6bo5b3o35bobo$
21bo6b3obb4o16bo4bo12bo6bo4boobbobb7obbo87bobo4boo4bobo28boo5bo$20boo
4b5o3bo13boo4bo9bo15bo4b3obboo4bobbobbo84b3o4boobboo31bobo3boobbo$20bo
bo3bobobbo21boo11boo4bo7bo8bob3o3bo89boo6bobo33bo11bo$25boboo14b3o5b3o
5b4o6bobbo17b4o5bo89bobo3boo3bo25bo7bo3boo3b3o$23b3o10b3o4bo10boobboob
3o8bo17boo7bo95b4o26bo8boo4boo4bo$22bo4b3obo4bo8bo7b3o3bobboo127bobo
31b3o12b7o$22booboo3b3o4bo4bobo7bo3boo4boo4b5o120b4o4boo38b4o$24bo14bo
bbo7bob4oboo3boobbo5bo120b4o3boo3bo$25boo11b3ob3o3boobobbobobbobboobo
4boboo3bo116boo6boboo34b3obbo$23boob3o22bo4boob4o3bo3b3o3bobo125b3o32b
ooboo$20boo4bo7booboo5bobooboo10boo141bo36boboboo$20bo4bo3boobboo9bo6b
o4bobo19bo127b3o37bobbo$20boboobo9bo5boo14bo18bobo120boobo4boo38b3o$
26bobbo7bo42b4o115boboo3bobo38bo$21bo3b5obo5bobo38b3obboo108boo4boboo
3b3o$20boboob3obbo38bobo6bobboboo107boo6bo5b3o38boo$24bobo3boo7bobo27b
ob4o3bobo4bo107bobo4boo4bobo38boobobo$15bo4bo24bo17b3o4b3obbo4b3obo
108b3o4boobboo44bo3bo$14boo9bo4bo9boboboo3bo13bo9boo9bo108boo6bobo43b
oo5bo$14bobo4b3o8bo13boobobo5b3o6bo14b3o111bobo3boo3bo42b5o5boo$18bo6b
o4b3o7booboobboboobo4bo6bobbo14boo117b4o33b3o17boo$17bobbo9boo8boo5bob
3o6bo6boboo128bobo60bo$17bo14bo7boo7boo9boo3boboo130b4o$21boobboo5b3o
13bo12bo3bobo16bo50b3o61b4o42bo$17bobboo3bobo4b4o9b4o16boboo14bobo49bo
64boo43boo$16boo4bobbo6bobboboo6bo9b3o3boo6bo12bobbo50bo107bobo$16bob
oo11bobobo10bo8bobboobbob3obo14boo53boo$19boo9boo24bobbobboobo73bo$18b
o10boo27boobooboobo$15b6o7boo34bobbo68boo$13boobobo11bo32boobbo68boo$
12bo4bo13boboo100bobo$11bo4bobboo9boobobo76boo17booboo73boo$11bobbo13b
4obo3bo73boo17booboobo71boo3bo$10bo4bo11boo6bobbo73bobo11boo3boboo75bo
boo$6boobboobo13bobo5bo76b3o11bobobbobbo77b3o$boobboo3bobo21boobbo73b
oo12bo7bo77bo$oo5bob3o17bo3boo79bobo3bo10bobbo13boo64b3o10boo$bbo4boob
obbo14boobbo63bo12boo9bo7b4obo13boo3bo54boobo4boo$4boobbobobbo19bobo
47bo11bobo11boo5bobobo7boo19boboo54boboo3bobo10boboo$4boo76b5o8bobbo6b
oo11b3ob3obo24b3o47boo4boboo3b3o11boobo$33bobbo45bobboo9boo7boo11b3o5b
obbo21bo48boo6bo5b3o11boobo$33b3o48boobo19bo11boo8bo23b3o45bobo4boo4bo
bo13booboo$29b3obboobo68boo38boobo4boo45b3o4boobboo16boobo$28bobbo6boo
47bobo12boo3bo38boboo3bobo45boo6bobo20b5o$27bo9boo66boo33boo4boboo3b3o
47bobo3boo3bo20boo$27bo52b3o6b3o9bo3bo33boo6bo5b3o53b4o$20bo6boo9bo36b
o4bobb3o4b3o8bo3boo33bobo4boo4bobo49bobo$19boo15b3o35boo5boob5ob3o8boo
bboo33b3o4boobboo54b4o$19bobobb4o7boobbo34bobo3b3o4booboo10bobboo8b3o
22boo6bobo56b4o$23b5o9bo48bobo12booboo7bo3boo23bobo3boo3bo54boo$22bo3b
o49b3o6bobbo12booboo7bobobboo28b4o$23bo51b3o7bo26bo5bo25bobo$77bobob4o
bbo25bobboo28b4o$79booboo29bo32b4o$79b6o62boo6$226bo$225bo$108boo115b
3o$108bobo$108bo$111bo$111boo$111boo$110boo208bo$106booboo208b3o$106bo
4bo206boobo$106bob4o4boo200b3o$110boo3boobo199b3o$110boo4bo202boo$110b
oo4bobo$112bobboobo$111boo$111bo4bo3bo$112bo4bo4boo$118bobo3boo14boo$
119bo5b3o12boo$122b3o$124bo$125bo3bo$124bo$125bobbo10b3o$126bo11bobboo
$134bo3b3obbo$133boo8boo$132b3o7bo$131boo$130b3o5bo$132bobboboo$134b5o
$134b4o3$291bo$290b3o$289boobo$289b3o$289b3o$290boo6$169boo$160b3o6boo
$132b3o24bo3bo$132bobb3o20bobboboo13boo$133bobo22bo4b3o12bobo$138bo19b
obbobbo13bo$136bo22bo6b3o$138bobo19b3o6bo$131boobo6bo28bo$130boo3bobbo
bbo4boo17bo3bo$124b3o4bobbobbo3bo24b3o57bo$124bo6bobbobbo3bo16bobo64bo
$127bo3bo6bobo18bo65b3o$124bobbo8boo$125bobbo6b3o$126bo5bo3bo$128bobob
oobo$130boo$134bo127bo$207bo53b3o$131bobbo60boo9boo52boobo$194boo3bo6b
obo51b3o$196boboo15b3o42b3o$198b3o5bobo4booboo43boo$198bo6boobobobo$
200b3obo6boboo$201boo7bo$201boo5boo$203b5o3$180boo$179boo$180bobo$180b
3o$180boo$182bobo$$184bobo$186b3o10boo$186bo11b3oboo$185bo11bo6bo$180b
oboobo4bo11bobbo$179booboobo11boobbob3o$179bobo4bo12bo$184boo$184bo3bo
9bobb3o$183bo3bo11bo33bo$202boo28b3o$183bobbo44boobo$182boobo45b3o$
182bo48b3o$181boo49boo$181bo$182bo12$211b3o$211bo$214bo$211bobbo$212bo
bbo$213bo$215bobo$217boo$218bo$217boo$216b3o$211boobooboo$211bo3boboo$
211bob3obbo$216boo$215b3o3$214b3o$214b3o$$213boo$213bo!
Here is a period 3712 blinker puffer using a series of period doublers. This is the largest known period less than the (4508 + 32N) ones obtained from the older c/4 rakes.

Code: Select all

#C A period 3712 (116 * 2^5) blinker puffer created using a base
#C period 116 blinker puffer and five period doubling convoys in series.
#C David I. Bell, November 2023
x = 4251, y = 3195
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$41b3o4boo$44boo4bo
15boo$50boo13boo$40bo5boobboboo6boo4bobo$31boo6boo3boobboboo7boo5boobo
$31bobo5bobobbobobb3o9bo5bobo$31bo11bobbo16boobbobo$35b3o5bo3boo14b4o
bbo$33boob4o11bo13boobboo$33b3o4bo3bo13boo6bo4bo$29b3o5boobo5b3o8boo3b
3oboo3bo$29bobbo4b3o19bob4obbobo$23b3o4boboobooboo27bo$19boobbo9boobob
oobb3o3boo11bo3bobbobo$18boo4bo8boo5bo6boboo10bo3bo4bo$19bobo4boob3o3b
o3bo6booboo6boo7bo$19b3o5booboobo3bobbo6bobo7boo$19boo10bo5boo9bo$21bo
bo5boboo4bo$24bobo4boobbobbo$23boo4b3obbo3bo16boobbo28b3o$22boboboobob
o3bo18b3o3bo27bobb3o$26bobbo7boo16boobboo28bobo$21boo13b3o11bo7b3o33bo
$20b3obbo6boobb3o10bobo6boo32bo$23boobo5bobo6boo6bobo42bobo$20bo3boboo
bobo6boboo8bo36boobo6bo$21bo7bo10bo45boo3bobbobbo$22boo7bo5bobboo38b3o
4bobbobbo3bo$22bo4b4o5bo4bo38bo6bobbobbo3bo$20b3o3booboo5bobb4o40bo3bo
6bobo$20bo8boo5bobo3bo37bobbo8boo$20bobo7boboo8boo37bobbo6b3o$16boo4bo
5boobboo7boo13boo24bo5bo3bo$15boo5bobo3bobboo9bo13boo4bobo19boboboobo$
17bo4b3obbobbobo9b3o10boo5bobbo8boo10boo$19boo6boo3bo3b3obbo3bo10b4o5b
o7bobbo13bo$19boo7bobo5bo3bo15b5oboo10bobo$28bo3bo4bo20bobobbo11bo11bo
bbo$27boobobo7booboo16boo$24b3oboo11bo$23bo4bobbobo6boo41boo$22boobobo
bbobo8boo39bo3bo$21bo3bo3boo11bo36b5obo3bobo$21bobo6bobobb3o4b3o30boo
bbobboobobbobbo$24bobobo3bobbo5bo33boobb3obboobbobbo$20booboo4boo5bo4b
o41b3o3boo$20boo3bo3boo7boo44bobboo$21booboobbobobo6bo45bobbo$21boo5bo
bobo6bo33boo10b3o$21boobo5bo42boo$24bo5b3o56bo22bo$19bo4bo5bo57bobo20b
oo$18boo3boo5boo55bobbo14bo5bobo$18bobo3b5o59boo14boo$22boo3boo75bobo
3boobobo$21bo6bo79bo7boo$28boo43boobo30bo4bo5boo$21bo4b3obbo41bo3bo29b
obbobb6o$7b3o11bobbobbo45bo4bo$7bo13bobbo4bobobo41boo$8bo12bobo9bo43bo
bo33boobboo$10boo10bo3b3o84bob4o$11bo11boo3b3o48boo32bo4bobo$20b6obb3o
49bobbo37bo$8boo3bo5boobbobbobbo90b3o$3o5boobbobo4bo6boboo49boobbo$o6b
obo3bobb3o3bo56bo40bo$bo4boo6b3o4bo6boobo$3b4obo19boo50b3o37boobo$4boo
10bo11b3obo87boob4o33boo$16bobo10bobbo43bo4boo38bobb4o31boo3bo$26boobb
obboo40boo45boo37boboo$26boo4boobboo37bobobboo81b3o$24boboobb3obbo43b
3o81bo$23b3o4boo4bo41bobbo83b3o$23bobo9bobo35boo52b3o28boobo4boo$35bo
37bobobboo47b3o28boboo3bobo$28b3o42bobboboo43bo6bo21boo4boboo3b3o$28bo
6bobo39boo44bobboboo21boo6bo5b3o$29bobb3o37bo3b3o36boo6booboboo22bobo
4boo4bobo$31bobbo29boo5boo3boo37boo35b3o4boobboo$34bo28boo5bo81boo6bob
o$23b3o39bo4bobo81bobo3boo3bo$23bo9bo33boobbo88b4o$24bobb6o34boo17boob
o66bobo$26bo59bo3bo67b4o$27boo57bo4bo66b4o$88boo69boo$90bobo$154bo$85b
o6boo60bo$84b5o4bobbo56bobo$78boo4bo6boo61bobo$78bobo11bo61b3o$78bo5bo
boo6bobo58bo$79boo4bo4bobo62bo$79bobbo6b3o62bobo$79bo6booboo59b3o4bo$
81bobobobbo60bo3bo$150bobboboo$83bo4bo62b4o$84b4o$$156bo$155boboo$154b
ooboo$154booboo$154bobbo$144boo4bobobo$144boo8boobbo$149bobboboobobo$
150boobboobobo$155bobboo$155boobo$156bo3$359bo$146boobo208boo$146bo3bo
207bobo$146bo4bo$148boo211boo$150bobo205bobboo$184bo10boo160boo$145bo
6boo29b5o6boo161boboo$144b5o4bobbo26bobboo8bo7boo154boo$138boo4bo6boo
32boobo5boo6b3obo152bo$138bobo11bo41boo3boboo153b6o$138bo5boboo6bobo
31bobo6boo155boobobo$139boo4bo4bobo40b3obo4bo150bo4bo$139bobbo6b3o38b
3o3bo4bo150bo4bobboo$139bo6booboo40bo7bo140boo10bobbo$141bobobobbo42bo
6bo140boo10bo4bo$341bo5boobboobo$143bo4bo45bo148booboo3bobo$144b4o194b
o5bob3o147b3o$191b3o154boobobbo15boo128bo$191b3o129boo7b3obbobo3bobbo
bbobobbo14boo130bo$190bo3bo127boo8bo3bo4bo3boo24bo131boo$170boo18boboo
114b3o13bobboo5bobbo3bo3bobo25bo130bo$170bobo13bo4b3o114bo9bo7bobobbo
bbobbo3bo30bobo$170bo14bobo121bo6bobbo6bobbobo6bo32boo128boo$171boo11b
o3bo122boobboo3bo4boobobobbooboobbobobb3o23boo120b3o5boo$171bobbo10bob
o124bo7booboo3bob3obb4o6bo25b3o119bo6bobo$171bo14bo129bo6bobobo3bo4boo
8bo9boo9b3oboo121bo4boo$173bobo136boo3bo3b5obo3bo4bo14bo3boo3bo5bobbo
126b4obo$177bo133boboboo4b3o3bo5boboo13boo3boboboo4bo131boo$175bobbo
132bobobboboob3o4bo4bo3booboboo5booboboo9bo135bo$175bobbo131bo4boo7bo
bboo7bobo3boo4boo3b3o9boo133bobo$177b3o130boo16bo12boob4o12bo140bobo$
173b3ob3o130boo9boo10bo11boobo4b3o3boboboo103boo$169b3oboobb3o136boobb
4o8boo11boo6bo4boo4boo101boo32bobboo$169bo7boo137bobobobo9bobo11b3o5bo
b3obbobboo5bo97bo18bo12bobboo$170bo6boo140boboo3boo35bo6boo76boo21boo
14boo13bo$173b5o137b3obboo4bobo3bobboo10bo7bo9bobobbobo74boo3bo6bo5boo
3bo16bobo9boboo$175boo139bo4bo4bo3bobo14bo8bobo7booboo78boboo5boo5boo
12b3o12boboboobo$174boo142boo9boo5bobo27bo4bo79b3o3bobboboo3boo3bo4boo
3boboo4boobobbobobo$174boo140b5o9bo9bob3o106bo4b5o7bo7bobbobobbo6bobbo
bbo12bo$173bobo140bobo15bo3bo3b3o101b3o4boobbo5boo3bobbo3bo5bobob4o5b
oobo11boo6b3o$172boo143bobbo7b3o3bo5bo105bo7b4obo10bo3boobo8bo3boobboo
13bobo5bo$172bobo144boo4boo3bo11bo104bo6bobbobo22bobobo3bobb3obboo18bo
$171bo145booboo3bobboboboo6bobo60bo45b3obbo4bobobboo4bo3b3oboo3bo6bobb
oobbooboo4b3o11boo$172boo146boo3bobo11boo5boo54boo50bo3bo4boobbobobob
3obbo3bo5bo4boobobbob3obbo12boo$316bobobo11bo8bo4bobo53bobo7boo38boo3b
obb3obb3o4bo4bo4bo7bobbob4obboboob3o3b3o$315b3obbo11bo8b3obbo62boobo
31b3o3bob4obo3boo3bo3b3obbo10bo3bobbo3bo3bobo3bo4bo5bo$315bo4bobbo6bo
14boo58boobboo28boo3bo4b3o5bo9b3o4bo3b5ob3o6bo8boobooboo3bo4bo$323bo6b
obo7b5o60boobboo28bobo5boboo8b3o4boobo4bo4boboo5bo5bo8b3oboobo4bobbo$
320boo7bobbo9b3o61boo31bo3bo3bobo9boo5bo4bobbobbo17bo9boo7b3obbobo$
320boo3bo4boobo7bobo62b4obo5bo9boo13boo3b4o8boo15bo18bo$320bo4bobboo
12bo62boboboobobb3obboo5bobo12bo11boo$321booboobobo74boo8boobobbobbobo
15b5oboo3bobo9boo12b3o26boob4obbo$323boobooboo73boo3b3o3bo5bo3boboo15b
ooboobbo3bo8bobo3b3o5bo29bo3bo$326boobo17boo55bo10bobbobo23bobooboo3bo
b5o3bo5bo8bo29bo$328boboobo13bobo55b3o9bobb9obboo6bo4bo4bo4bob6obbobo
4bo9b3o$328boobobbo6boo4bo61boobbooboobobbo6boboo5boo3boboo4bo5boo3bob
obo6bo$313bo6b3o3bobbo3bo7bobo4bobo58boo3boo5bo5bo5bo4bobo3b8o11bobboo
4b4o4boobo$312boo6bo4b3obboo9bo6b3o49b3o3boo20b5obbo9b5o9bo5boobb3o4b
oob4o$213b3o96bobo6bo3bo5bo12bo55bo4bobbobbobo16b4o7bo18boo11boo$317bo
7boo4boo11boobobbo50bo6b5o11boo8bobbobobbo26bobbo5b3o$315boboo6b8o14b
4o53bobobb3o5boo4boobo11boobbo6boo19boo$314boo3b3o4b5o8boo8bobbo50boo
4b3o4boo5bo10boo6bo6b3o$311boo6boobbo15bobbo5bob3o49boob3o10bo3b3o8boo
bo3bobo13boo$310boo5bo21bo3b4ob3o61boo9bo7boboobboo3bo4bobo5bobbo$305b
oo5bobobobbo4bo4bo11bo6bo56b3o11boo3bo4boo7boobbo4bo8boo$300boobboo8b
ooboboo3bobb3o12b5o3b3o51bo4bo8boobobo3boboo4boboobboo$300bobo3bo5bo4b
obbo3boboo15boobobo52boboo3bo5boobb7obbobbo6bo3bo$300bo10bo3bo3boo5boo
bo17bo52b4ob5o4bobo3b4o3bo8bobo$301boo4b3obo3bobboo7bobo70bobo3boobobo
bbo16boo4bo8booboo$301bobbo4boobbo4bobboo5bo79boobo5bo28booboo$301bo7b
oobo28boo63bobbo7b3o27bobo3boo12bo$303boboboo3bo3b3o21bobbo56b3obboo3b
oo7bo28bo3bobbo10boo$304boob3oboo3b4o21boo27boo29boobobbo11boo31bobo
11bobo$308bobo5bobo22boo26boo3bo26boobo5bo9boo22boo7bo13boo$303boo5bob
o5bobbo18boo29boboo19b3o4boo4bobbo9bobob3obboo12boo21b3o$306boobboo6bo
19b5o30b3o18bo7bobobo4boo9boo4bo3bo5boo4bobo24boo$301boo6b6o3bo3bo15b
oobobo29bo21bo14boo9bobobbo5bo4boo5boobo23boo$301boobobb3o3bobobbo18bo
5bo31b3o19b3obbobo15boobobbobb3o7bo5bobo$302b4obboboo3bo5boboo13boobob
oo23boobo4boo20b3o10bo8bo7bo12boobbobo$303boo8bo5b3o16booboboo23boboo
3bobo22boo4bo5boo27b4obbo18boo48boo$304bo6boo8bo18boo20boo4boboo3b3o
23boboboo7boobo8b3o14boobboo18bo47boo$308boo8boobbo18boo18boo6bo5b3o
18b3o4bobobo3bo3bobo7boobbo6boo6bo4bo14bobbo49bo$302bobo3bobo6b6o27b3o
9bobo4boo4bobo18bo14bobobobo9bo7boo3b3oboo3bo15bobo51boo$301boo5boboo
5bo5bo38b3o4boobboo24boo11b3o22bob4obbobo18boo50bo$301bobo9boo6bobo24b
o5bo7boo6bobo23bobboo8boobbo31bo$297boo4bo5boo3bo7boo24bo5bo9bobo3boo
3bo23bo9bo3bo25bo3bobbobo68bobbo$297bobo3boo4boo37bo5bo15b4o20boboo11b
o29bo3bo4bo19bo12boo33boo$242b3o52bo6boo5b3o10bo41bobo24b3o3bo11bobbo
29bo22bobo11boo32bo$300bo7boobobo4boobbooboo23b3o15b4o20b3obo3bo9b4obo
51bobbo21boo17boobbobo$237b3o60boo7boboo4boo3b5o41b4o19b4obobbo13bobbo
51boo6bo15bobo16bobobbo$237bo71bobo7bobboboo17boo24boo21bo14b3o5b3o56b
oboo14bo14bo3bobo$238bo69boob3o7booboo17boo41booboboboo12bo8b3o54bo3bo
15boo11boo4boo$240boo63boo5boo8bo36bo21boo3bo4bo18bo6boo55b3o16bobbo9b
obo3boo$241bo63boo3bob3o7bo35bobo20bobobbo20bobbobb3o59bo17bo17b3o14b
oobo$236b3o65bobobobo11boo33bobbo20bo6b3obobo13bo4bo81bobob3o7bo3bo14b
o3bo$236bo66boobboo15bo33boo24bo3boo3bo15bo3b3o87bo4boobbo15bo4bo$239b
oo61b3obb3oboo4boo65boo28boo46b3o32bo9bo22boo$236bobboo61bo5boob3obboo
4booboo87bo47bobb3o30b4oboob4o22bobo$239bo61booboo5bo6bobbo92b3o46bobo
8booboo29boo$234boboo64bobo105bobbo4bo49bo5booboo48bo6boo$233b3o3bo63b
obooboob3o5boobbo85b3o6bo47bo9bo8bo40b5o4bobbo$232b3obo3bo62bobb4ob3o
7bo86boo9bo48bobo13bobo33boo4bo6boo$219boo10b4obobbo63boboo100boo7boo
43boobo6bo11bobbo33bobo11bo$219bobo10bo70bobobo4boo94bo51boo3bobbobbo
12boo34bo5boboo6bobo$219bo6booboboboo70bo5boo79b3o4b3o14boobo34b3o4bo
bbobbo3bo49boo4bo4bobo$222bo3bo4bo67b3obboo6bo79bo6bo8bo7bobbo34bo6bo
bbobbo3bo49bobbo6b3o$222boobbo72bo75boo8b3o6bo5bobb5o8bobo38bo3bo6bobo
50bo6booboo$222boo4b3obobo14boo49bo5b5o65boo7bo6bobo7bo51bobbo8boo55bo
bobobbo$202boo8boobbo6boo3boo3bo15bobo50b6o68bobo7bo4boob4o5boo50bobbo
6b3o$202bobo6boo3b4o4boo23bo53b4o48bo21boo9b4ob5oboo55bo5bo3bo58bo4bo$
188boo12bo4bo4boobb5obo29bo50boobb5o42b5o14bo15boo7boobo56boboboobo60b
4o$187boo17boo3boo12boo24bobo35boo12b3o4b3o41bobboo13bo87boo$189bo6b3o
6boo3boo5boobobo28bobo34boo13boo7b3o41boobo17bo86bo$191boobb3obo3bo3bo
bobbo3bo8boo24bo38bo11bo7bo3bo57bo4bo17bobbo$191b4o4bobbobbobobobboob
oo3bo3boo25bo40boo9bo3boo50bobo5boo25b5obo60bobbo$193b3o3bobbo4bobobb
oo3bobo6bo8boobo8bo3bo39bo12bobboobbo55boo8bo16bo6bo$194bo8boo6boobo
20bo3bo6b3obo20b3o27b4oboobboo49b3o7bo5boo16boboo3bo$190b3oboobobboobb
3o3bob4o13b3o3bo4bo4boo43bobbo7bo5bobo52b3o7boo29bo$190b3obbobobboobb
3o9boboobo7bo3bo3boo5boo36boo5boobbobo4bobbo3bo51b6o6b3o26bobo$194bobb
o5b4o6boobo3boobobboo4boo11bo35boo5bo5bobobboboo5boboo62bo114bo$189boo
4bo8bo3bo11bo3bo3bo4bo49bo4bobo4b3ob4o10bo48bo12bobbo22bobbo83boo36bob
o$189bo10bobbo4bo15bobb4obboo3b3o3bo40boobbo9boo8bo3bo48bo13boo7boo14b
obbo83bobo38bo$196bo3boo9b3o11bobbo3bo5bob4o41boo10b3o9boo51bo22boo15b
oboobo118boo$195b4obbo9bo13b3o5bobobboboobo54boo10bobobo87boobbobo33bo
48boo34bo3bo$195bo4bo5bo5bo21b3o6bo3bob3o56bobo3bo41b3o3boo39bo5bo31b
5o45boo35boobbo$194b3obboo4boo7boo9b3o7b3o9bobo57boo5bobboo37bo46bo37b
obboo86bo$198bo6bobobboo3bo20boo6boo5bo55bobbobbo3boo38bobboo46bo34boo
bo40boboo39boboo$200bo8b3o3b3o28bobboo53b3o4boo4bo42booboo41bo79b4o40b
o$195booboo9boboo4b3obboo80bo13bo36bo4bo85bobo37bo3boo4boo14boo$195bob
obobo8b3o5bobboo82bo10boo36b4oboo25boo103bobb3obo13boo18boo$199boo6bo
3boo6boo89boo4b3o35bo32boo50b3o6b3o47bo$196bobbo5b4ob3o7b3o86boo6boo
36boo3bo25bo47bo4bobb3o4b3o38boo4bo$199bo4boobobobo7bo91bobbo39b6o73b
oo5boob5ob3o38boo4b3o$196boobo4bo14bo6bo86b3o29boo6boo78bobo3b3o4boob
oo40bo3bobbo$199bo5bo13boboobboo86boo30bobo3boobbo21boo45bo20bobo43bo
5b3o$194boobobobo8b3o12bobo77boo5boo31bo5b3o22bobo45bo10b3o6bobbo31bo
12boo3b4o$194bobbobobbo17bobbobo78boo6boo34bo75bo9b3o7bo33b5o17b5o$
195bo4bobo6boo8bobbo3bo79bobbooboo34boo18bo7boo58bobob4obbo31bobboo19b
3oboo4bo$202boo5b3o7bobbo85boo57b5o9boo45boo8booboo37boobo15boobbo3bo
3bo$199booboo4bo4bo8bo85boo57bobboo8b3o45boo8b6o63boobb3o$199booboo9bo
6boo147boobo6bo50bo52bobo18booboo$201bobo3boo217b5o75b3o$204bob3o163bo
bo3bo3bobo41boobbo45b3o6b3o17bobo$202bo3bo3bo16bo154boo44bo42bo4bobb3o
4b3o17bo$207bo4bo13boo137b3o6b3obbooboo41booboo40boo5boob5ob3o$204bo3b
oboobo7bo4bobo71b3o57bo4bobb3o4b3o3bo41booboboo40bobo3b3o4booboo$200b
oo3bobb3obo7boo137boo5boob5ob3o43b3ob3o54bobo$191b3o5boo3boo3bo10bobo
5boboo127bobo3b3o4booboo43bo3boo46b3o6bobbo$191bo9bo5bo19boo142bobo97b
3o7bo$192bo3bo6bo6boo11boobboo132b3o6bobbo47boo50bobob4obbo$194b3o7b7o
12boobboo131b3o7bo43boo59booboo$193boobo3bo18bo4boo4boo130bobob4obbo
41boo59b6o$190boo4b4obo16b4obb4o4bo131booboo$190bo5boobb3o7bo7bobb3o3b
3o134b6o91boo$184boo4bo7bob3o7bo9bo9bo229bobo10bo$180bo3bobo5b3ob3obb
oo18b5obbo231bo3boobo5boo$179boo3bo9boboo3boo22bo4boo225booboo5bo4bob
oo$179bobo5bo3b4o3booboo5bo17boo229bobboboo4boboobbo66boo$187bobb3obo
3bobbo5boo248booboo4boobb4o67boo$181b3o3bo3bo5bobboo5b5o6b3o238b6o7bo$
180b3o6boo5bo8b4o3bo4bo3bo237b6o$182bobo4boo14b4o3bo4bo$184b5obo4boob
oo5b4o3bo3bo32boobo$185bo4bo4bobo19bobboo27bo3bo278bobo5boo$183bobo12b
oo12boo4boo29bo4bo278bo5bobbobbo$182b5obb3o6b3o10bo3bo35boo278bobo4bo
3bobbo$181bobo4bo9b3o9bo4b4o34bobo270bo4boo4b4o3bobobboo$180boobob3o4b
3o3boobbo8bo3bobobo293boo10b3obbo5boo7b3ob3o$182boo5bobb3o3boo3bo11bob
oboo27bo6boo255boo3bo16bobboobob3obb4o8bo$187boboobo6bo3bo11b3obobo25b
5o4bobbo254boboo16bobboo5booboo9boo$182bo6boo9bo16boo22boo4bo6boo260b
3o13bobo4bo4boo12bobo$182bobo3bo12bo14bobbobbo4bo13bobo11bo172bo87bo
16bo6b4o$184bobboo7b5o15bobo7bobo12bo5boboo6bobo167b5o86b3o60bo$180boo
5bobo6bo5bo16bo5bobbo13boo4bo4bobo171bobboo79boobo4boo11b3o45boo$180b
oo7booboo3bob4o14b3o6boo14bobbo6b3o74b3o97boobo12bo65boboo3bobo59bobo$
177bo4bo5booboo8bo16boo22bo6booboo191bo59boo4boboo3b3o$176boo4b3o6bo
52bobobobbo180bobo9bo59boo6bo5b3o62boo$176bobo9bobboo9bobo300bobo4boo
4bobo62boobb3o$180bo4bobobbo6boo3bobbo40bo4bo173b3o6b3o6boo60b3o4boobb
oo69boobo$179bo4bo3bobobbo3bobobbobbo41b4o169bo4bobb3o4b3o5bo61boo6bob
o69bo4bo$179bobbo6boo6bo3bobbo214boo5boob5ob3o69bobo3boo3bo65b3o4bo$
188bo11boobo215bobo3b3o4booboo21bo54b4o67bo5bo$185boboobb3o7bobo227bob
o22bobo50bobo59boo12bobobboo$184booboobo10bo219b3o6bobbo22b3o52b4o55b
oo$183bo3bo6bo7bo38boo177b3o7bo80b4o57bo9b3o$182bobbo3bo3bo8bo37bobbo
178bobob4obbo13b3o63boo60boo6booboo$182bo4boobbo4boo6bo36bobo180booboo
17bobb3o122boobboobbob3o$181bobo3bo3boo3bobo3bobo37bo181b6o17bobo127b
oobobboo$181bo9bo4bo4boobo247bo125bo4boo$181boboo6boo6boboo45bobo199bo
124boo3bo$182bo3bobooboo6bobbo45bobbo200bobo120boo$184bobbo11bobo49bo
193boobo6bo119bo$182boobbo4bo54boobbo193boo3bobbobbo120booboo$182bobo
6bo50boob3oboo187b3o4bobbobbo3bo34boo86bobo$184b3o3boo50boboo3bo22boo
164bo6bobbobbo3bo33boo$179boo3bo57bo28boo168bo3bo6bobo28boo5bo$178boo
4bo3bo3bo53bo18boo5bo165bobbo8boo30boo5boo$180bo83boo5boo166bobbo6b3o
32bo4bobobboo$182bobb3oboo49boo24bo4bobobboo162bo5bo3bo35boo3boob4o77b
o$182boobo54boo26boo3boob4o162boboboobo27bobo6boo10bo74boobo$233b3o18b
o13boo10bo163boo31boo19bo74booboo$168boo12bo3b6o41bobb3o14boo25bo167bo
3b3o23bo13bo79boobboo3bo$168bobo10bob6o3bo41bobo15b3o19bo177bobb3o34bo
3bo65boo8b6obbobo$168bo15b3obbo3boo44bo12bo21bo3bo79b3o84bobbo4bobo35b
ooboo65boo10bobbo3boo$171bo9boo5boo47bo12bo22booboo180bo32bo3boboo64bo
10boo$171boo10boobboboo48bobo8bo3boo17bo3boboo175bo35boob4o66boo$171b
oo8boo3boobo52bo11boo18boob4o177bobo36boobbo62bo5bo$170boo8boo4bobo50b
obbo8bo27boobbo167boobo6bo36boobo66boobo$161boo6boo3bo7bo4bo51bobbo9bo
bbo24boobo166boo3bobbobbo37bo69bo3bo$161bobo3boobbobobobooboo5b4o48bo
bbo9b3o26bo162b3o4bobbobbo3bo37boo64boobb3o$161bo5b3o4bo4boo7bobbo89b
oo161bo6bobbobbo3bo37b3o63boobo$164bo10bo12b5o47bobo38b3o163bo3bo6bobo
38boobbo49bo13bo3bo$164boo11boo10bobbo49bo38boobbo158bobbo8boo45bobo
46boo11boo5boo$177boo12b3o91bobo157bobbo6b3o42bo3bobo45bobo10b3o$187b
3obobo42boo4bo39bo3bobo31b3o123bo5bo3bo34bo8b6o4b3o43bo7boboo$187boboo
bo3bo38boo4boo39b6o32bobb3o122boboboobo35bo10b3o5bo44bo3booboobobbo$
187boboboo3boo39bobboboo40b3o34bobo126boo39bo19bo43bo3boob3o$184boo5bo
6bo40booboo82bo127bo106boboo$183boo7bo3bo127bo172boo58bobbo4bo$185bo
10bo36b3obbo53b3o31bobo122bobbo41bobo58b3o31b3o$189boo5boo35bobb3obo
51bo26boobo6bo168bo57bobbo25bo5bo$189bobo4bo37b6o51boo25boo3bobbobbo
227bobobo22b3o5bo$189bo3bo96boobbobo15b3o4bobbobbo3bo232bo20boobo$192b
oo31bo6boo56boo4b3o13bo6bobbobbo3bo228bo3bo20b3o$193bobbo27boo5bobbo
61b3o16bo3bo6bobo254b3o$184boo38bobo3boobo63bo14bobbo8boo258boo$184bob
o3b3o35bo61bo22bobbo6b3o31b3o$184bo3bo4bo33bo60b4o22bo5bo3bo32bobb3o
97b3o$187boo38bobbo15b3o38bo3bo24boboboobo34bobo99bobb3o$187bo5bo52bo
bb3o30boo3boobo27boo43bo97bobo$247bobo32boo3booboo30bo38bo104bo$252bo
39bo70bobo98bo$250bo41boo25bobbo33boobo6bo20b3o76bobo$252bobo36bo63boo
3bobbobbo92boobo6bo9bobo$245boobo6bo93b3o4bobbobbo3bo91boo3bobbobbo11b
oo$244boo3bobbobbo93bo6bobbobbo3bo85b3o4bobbobbo3bo9bo3bo$238b3o4bobbo
bbo3bo96bo3bo6bobo86bo6bobbobbo3bo10bobbo$238bo6bobbobbo3bo93bobbo8boo
92bo3bo6bobo16boo$241bo3bo6bobo72b3o20bobbo6b3o89bobbo8boo16bo$238bobb
o8boo76b3o20bo5bo3bo91bobbo6b3o17b3obbo$239bobbo6b3o73b4obboo20boboboo
bo93bo5bo3bo20bobbo$240bo5bo3bo74boboobbo23boo99boboboobo$242boboboobo
75boboobo28bo98boo$244boo79bobo134bo$248bo3bo103bobbo$251boo62bo143bo
bbo$245bobbobbobo60b3o$313bobobo$254boo57bobobo$254boo55bobb3obbo236bo
266b3o$310bo4bo239b3o265bo$245bo6boo60bo4bo234boobo266bo$244boo5bobbo
56bobbobobo235b3o269boo$244bobo3boobo58boo240b3o270bo$248bo65boboo237b
oo265b3o$247bo68bobbobo500bo$247bobboo63boobbobboo501boo$252bo63bo4boo
154bobo342bobboo$251bobo57boo4b5o155boo346bo$252boo57boo5b3o157bo341bo
boo$218b3o32bobo63bo499b3o3bo$218bo36boo159b3o399b3obo3bo$219bo18boo
12b5o49b3o496boo10b4obobbo$198b3o20boo15bobo10boboo51bobb3o493bobo10bo
$198bobb3o5boo5boo4bo8bo6bo10booboo53bobo495bo6booboboboo$199bobo7b3o
3boo12b4o8bo4bobbobboo58bo495bo3bo4bo$204bobbo3boo4b3o8boo3b4o4b5obobo
bo58bo46bo450boobbo153boo$198bo3bobbobobb4obo3boo6b3oboo5bobb5obboo10b
oo7bo42bobo41bo451boo4b3obobo14boo128boo$197boo5boo5bo8bo4boo4bobob4o
bboobo15bobo5boo35boobo6bo40b3o429boo8boobbo6boo3boo3bo15bobo129bo$
197bobo8bo16b3o5b3o4b3o6bo10bo7bobo33boo3bobbobbo472bobo6boo3b4o4boo
23bo133boo$201bobboobbobo17boo4bobo3boobo3b5o6boo38b3o4bobbobbo3bo458b
oo12bo4bo4boobb5obo29bo129bo$153boo46bobb3o3boobb3o4bobbobb4obboo5bobb
o3boo3bo4boo12boo25bo6bobbobbo3bo457boo17boo3boo12boo24bobo$153bobo45b
3obo3boo3bo3boob4o4boobboo5bobbo6bo3boo8bo5b3o28bo3bo6bobo460bo6b3o6b
oo3boo5boobobo28bobo127bobbo$153bo8b3o31bo5boobb4obo3booboo6boo12bobb
oobobbobbobb3obo3boo5bo27bobbo8boo465boobb3obo3bo3bobobbo3bo8boo24bo
121boo5boo$156bo3booboo30boo3boo3bobboobobobbo3b5o4b3oboobbo5boo3boobb
o7bobbobo33bobbo6b3o465b4o4bobbobbobobobbooboo3bo3boo25bo120boo5bo$
156boobo30boo3bobobo3b3obobo3bo6bobob3obboobboob3o5boo10bo3bo7b3o29bo
5bo3bo15boo451b3o3bobbo4bobobboo3bobo6bo8boobo8bo3bo122bo4bobo$159b3o
27boo11bo6boobo4bobboobb3o3bobboobo8bo7boo4bo6b5o31boboboobo15boo3bo
449bo8boo6boobo20bo3bo6b3obo125boobbo$191bobbobboo10bo7boo7bo18boo9b3o
6b3o36boo21boboo445b3oboobobboobb3o3bob4o13b3o3bo4bo4boo129boo$156bo3b
obo5bo9boo13boo3boboo8boo54bo41bo20b3o195bo122bo125b3obbobobboobb3o9bo
boobo7bo3bo3boo5boo134bo$155boobob3obboobooboo4boo18bo6b3o23bo31boo65b
o196b3o121bo129bobbo5b4o6boobo3boobobboo4boo11bo133bobo$159bo5bobbobbo
bobobbo13boobboboo4boo9boo5bo6boo27b3ob3o40bobbo22b3o191boobo121bo124b
oo4bo8bo3bo11bo3bo3bo4bo146bobo$154bo6bo4bo3b3obbobo15bo7boob7o3boo5b
oo6bobo26booboboo59boobo4boo191b3o247bo10bobbo4bo15bobb4obboo3b3o3bo
102boo33bo$155bo5bo5bobboobbo19boobooboo3bo6boboo5bobo9bo90boboo3bobo
191b3o254bo3boo9b3o11bobbo3bo5bob4o103bobo31b3o$156boo7boobobbob7ob3o
5boo3boobb3o11bobbo17bo84boo4boboo3b3o35boo155boo253b4obbo9bo13b3o5bob
obboboobo103bo32boobboo$157bob3obboob3o5boo4boobo4bobobbo7bo4bo3b3obob
o6bo6bobbo82boo6bo5b3o35bobo409bo4bo5bo5bo21b3o6bo3bob3o75boobo19bo15b
3o12bo$152bo6b3obb4o16bo4bo12bo6bo4boobbobb7obbo87bobo4boo4bobo28boo5b
o410b3obboo4boo7boo9b3o7b3o9bobo77bo3bo13bo4boo14bo11b3o$151boo4b5o3bo
13boo4bo9bo15bo4b3obboo4bobbobbo84b3o4boobboo31bobo3boobbo411bo6bobobb
oo3bo20boo6boo5bo75bo4bo4b3o4boo4boo7boobbo3bo5boo3bobo$151bobo3bobobb
o21boo11b3o11bo8bob3o3bo89boo6bobo33bo11bo411bo8b3o3b3o28bobboo78boo5b
o4boo5b3o6boboo3bo4bo3b3obbo$156boboo14b3o5b3o5b4o27b4o5bo89bobo3boo3b
o33bo3boo3b3o404booboo9boboo4b3obboo107bobobboobobooboob3o5boobobo3bo
3b3obbobbo$154b3o10b3o4bo10boobboob3o5b3o18boo7bo95b4o35boo4boo4bo403b
obobobo8b3o5bobboo103boo8bobb4o7bo4b3obbobo4bobo4boo3bo8b3o6boo$153bo
4b3obo4bo8bo7b3o3bobboo5boboo118bobo46b7o67b3o337boo6bo3boo6boo104boo
6b3obb3o7boo4bo3b3obooboobbo4bobo11bo7boo$153booboo3b3o4bo4bobo7bo3boo
4boo6bo122b4o4boo38b4o406bobbo5b4ob3o7b3o104bo5bobbobo14boo3boob3oboob
oo3bo4bo11bo7bo$155bo14bobbo7bob4oboo3boo129b4o3boo3bo448bo4boobobobo
7bo109boo3b3obboobboo8booboo9boo3boo3bobo6bo13bo$156boo11b3ob3o3boobo
bbobobbobboobbo127boo6boboo34b3obbo405boobo4bo14bo6bo54b3o45boo3b3obb
oobboo3b3o16bo5boboobobooboboobo10bobo$154boob3o22bo4boob4o3bo137b3o
20b3o9booboo410bo5bo13boboobboo54bo9boo37boobbobo3boo3b4ob3obboo3b3o5b
o6boo3bobo3boo4boo4boo$151boo4bo7booboo5bobooboo10boo3bo137bo36boboboo
402boobobobo8b3o12bobo54bo6b3obo30boo3bobob3o11bobo7bo7b5oboo7bobo8boo
5boo$151bo4bo3boobboo9bo6bo4bobo11boo134b3o37bobbo399bobbobobbo17bobbo
bo58boobboo29bo3boo3bo7bo3bo5b3o5b7ob4obo5bo3bo3boobobb3o3bo4b3o$151bo
boobo9bo5boo14bo11bobbo11b3o112boobo4boo38b3o400bo4bobo6boo8bobbo3bo
58bo32boo4bobobbo5bo3bo3boo6bob3o4bo6bo15boobo11b3o$157bobbo7bo31bobo
12b3o112boboo3bobo38bo409boo5b3o7bobbo66bo28bobobb4obo9boo6bobbo4b3o7b
obo6b3o9bo3bo4boobboo$152bo3b5obo5bobo30bo11boobo107boo4boboo3b3o445b
ooboo4bo4bo8bo62boo3bo6bo9bo14b4obboo3bo4bo7bobbo38bo4boo$151boboob3o
bbo51boo108boo6bo5b3o38boo405booboo9bo6boo62boboboo5boo3bo5boo13bobbo
9bo51bo6b3o$155bobo3boo7bobo43booboo103bobo4boo4bobo38boobobo403bobo3b
oo74bobbobbobooboo3b4o3bobo12bobobbo7bo3bo5bo13boo27b4o3boo$146bo4bo
24bo17b3o18b3oboo103b3o4boobboo44bo3bo404bob3o75bo3boo4bo5bob5o13bo3bo
boobb3o5bo4boo5boo5boo28boboboo$145boo9bo4bo9boboboo3bo13bo18boob5o
103boo6bobo43boo5bo402bo3bo3bo16bo56boo8bobobo3bobo19bo5b4obo7bobo3boo
8bo28bo$145bobo4b3o8bo13boobobo5b3o6bo15bobbo109bobo3boo3bo42b5o5boo
401bo4bo13boo56boo7boobobbobbooboo3boo10bo4boobbobobooboo11bo9bo$149bo
6bo4b3o7booboobboboobo4bo6bobbo133b4o53boo399bo3boboobo7bo4bobo58bobo
3b3obobobo4boobobbo4b3obbo6boo6boboobb3o15boo$148bobbo9boo8boo5bob3o6b
o6boboo13bo114bobo60bo394boo3bobb3obo7boo67b3o9bo4boo6bobbo5b7o9boobob
oo6booboo3b3o$148bo14bo7boo7boo9boo3boboo15boo113b4o164bo278b3o5boo3b
oo3bo10bobo5boboo48boo4bo3b3o15b5obo3bo20bobbo4bobooboo4boo$152boobboo
5b3o13bo12bo3bobo17bo49b3o61b4o20bo142b3o277bo9bo5bo19boo50boo4boo3b3o
21boo4bo18boo3bo4boobbobbobo$148bobboo3bobo4b4o9b4o16boboo66bo64boo21b
oo140boobo278bo3bo6bo6boo11boobboo52bobboobo15boo8b3o3boo7bo17bobboo7b
oo$147boo4bobbo6bobboboo6bo9b3o3boo6bo66bo85bobo140b3o281b3o7b7o12boo
bboo54bobobboo6boo5bobo8boobb3o8bo19boo$147boboo11bobobo10bo8bobboobbo
b3obo69boo225b3o280boobo3bo18bo4boo4boo50boobo3boo5bobo3bobbo8boboobbo
6bobbo$150boo9boo24bobbobboobo19bo12boo39bo226boo277boo4b4obo16b4obb4o
4bo49bo9bo3bo5boo8bo3booboo8bo5boo$149bo10boo27boobooboobo16bobo11boo
118b4o423bo5boobb3o15bobb3o3b3o52bobboo12bobbo7b3o4bobobo3bo8bobbo$
146b6o7boo34bobbo16bobbo5boo41boo79bobb3o416boo4bo7bob3o4bobo10bo9bo
57booboo5bo5bo4bobbo5bobo4boboo6boo$144boobobo11bo32boobbo17boo5bobo
41boo80bo3bo123bobo286bo3bobo5b3ob3obboo3bobbo11b5obbo54bobo12bo3bobbo
bboob4obobboo$143bo4bo13boboo57b3o40bobo80bobbo124boo286boo3bo9boboo3b
oo3bo18bo4boo51boobbo6bo3b9o4boobboo3bo$142bo4bobboo9boobobo55bobbo17b
oo17booboo73boo8b3o125bo286bobo5bo3b4o3booboo3bobo17boo51b3obboboo5b4o
8bo4boo3bo3bo5bo3bo$142bobbo13b4obo3bo52boobo17boo17booboobo71boo3bo
428bobb3obo3bobbo4b3o70bobbo5bobobbo10bo5boo4boo7bo3bo$141bo4bo11boo6b
obbo57bo15bobo11boo3boboo75boboo129b3o290b3o3bo3bo5bobboo84bobboo4bobo
28bobo$137boobboobo13bobo5bo54boo4bo15b3o11bobobbobbo77b3o420b3o6boo5b
o23boo58bo3bo3bo8bo28b3o3boo12bo$132boobboo3bobo21boobbo51bo5bo15boo
12bo7bo77bo424bobo4boo28bobbo57bo3bo4boo7bo32bobbo10bobo$131boo5bob3o
17bo3boo79bobo3bo10bobbo13boo64b3o422b5obo4booboo20boo27boobo27bo4bo4b
o8bo31bobo10bo$133bo4boobobbo14boobbo59b3o25bo7b4obo13boo3bo54boobo4b
oo423bo4bo4bobo51bo3bo27bob4o3boo7b3o21boo7bo13boo$135boobbobobbo19bob
o47bo32bobobo7boo19boboo54boboo3bobo9bo411bobo12boo20bo28bo4bo19boo5bo
b4o3boo12boo17bobo19boo$135boo76b5o31b3ob3obo24b3o47boo4boboo3b3o8bo
411b5obb3o6b3o17boobo29boo20boo6b3o6bo9bobboobb4o6boo4bo26boo$164bobbo
45bobboo15bo15b3o5bobbo21bo48boo6bo5b3o8b3o408bobo4bo9b3o16boo3bo30bob
o19bo24boboob3ob3o5bobo4bobo23boo$164b3o48boobo13bobo15boo8bo23b3o45bo
bo4boo4bobo418boobob3o4b3o3boobbo13bo3bobo54boobb3o5boo8boobo3b3o8bo6b
3o$160b3obboobo62bobbo42boobo4boo45b3o4boobboo423boo5bobb3o3boo3bo13b
ooboboo24bo6boo20boobboo16bobbo17bo24bo$159bobbo6boo47bobo11boo43boboo
3bobo45boo6bobo430boboobo6bo3bo14bobo26b5o4bobbo20b3o8bo8bo19boobobbo
18bo49boo$158bo9boo101boo4boboo3b3o47bobo3boo3bo422bo6boo9bo18boobo18b
oo4bo6boo24bobob3o4boobboo8boobo14b4o17boo49bobo$158bo52b3o6b3o47boo6b
o5b3o53b4o424bobo3bo12bo19bo8bo10bobo11bo20boo4bobo5b3ob3o8bobbo6boo8b
obbo15boo49bo$151bo6boo9bo36bo4bobb3o4b3o47bobo4boo4bobo49bobo431bobb
oo7b5o29bo10bo5boboo6bobo15boo4bo3bo5boobo10bobo7bobbo5bob3o15bobo51bo
$150boo15b3o35boo5boob5ob3o47b3o4boobboo54b4o424boo5bobo6bo5bo27bo11b
oo4bo4bobo20bobo16bo19bo3b4ob3o18boo51boo$150bobobb4o7boobbo34bobo3b3o
4booboo48boo6bobo56b4o424boo7booboo3bob4o39bobbo6b3o21b3obo8bobbo24bo
6bo73boo$154b5o9bo48bobo53bobo3boo3bo54boo422bo4bo5booboo8bo24b3o3b3o
7bo6booboo22boo10b5o25b5o3b3o68boo$153bo3bo49b3o6bobbo59b4o186bo238bo
53boo4b3o6bo52bobobobbo21boobo11bobo28boobobo22bo12boo34boo$154bo51b3o
7bo37bo3bo16bobo190b3o237bo53bobo9bobboo9bobo25bo41bo5bo10boo32bo22bob
o11boo32boobbo$208bobob4obbo40bo17b4o186boobo237bo57bo4bobobbo6boo3bo
bbo24bo15bo4bo19bo3b4o11bob3o51bobbo22bo18bobb3o$210booboo39boo21b4o
186b3o233boo60bo4bo3bobobbo3bobobbobbo24bo16b4o19bobb3oboo14boo52boo6b
o15boo17boo$210b6o38boobboo18boo187b3o232boo61bobbo6boo6bo3bobbo17boo
46bobbo13boo6bo57b3o15bobo16bobo$253b3o212boo234bo69bo11boobo18boo42bo
5boo12boo8boo55bobbo28b3o3bo$252b3o451boo63boboobb3o7bobo34bo22bo3b6ob
o14boo7bo56b3o17b3o9bo6bobbo$253boo450bo64booboobo10bo35bobo20boo3bobb
oobboo13b3o3bo78b3o11bo4bo16bo$254bo23bo423boo65bo3bo6bo7bo33bobbo20bo
bo4boobb3o13bo4boobo78bobo11boboo3bo11b5o$274bo6bo419boo65bobbo3bo3bo
8bo34boo25bo23boo3boo81b6o5b5o15bobboo$273bo7bo420bobobbo60bo4boobbo4b
oo6bo58bo4bo73boo32b7obobo22boobo$273bo7bo420b3obo60bobo3bo3boo3bobo3b
obo58bo3bo26bo46boo3bo35boo3bobo$239boo33boo3bo422boo63bo9bo4bo4boobo
87boo49boboo6booboo28bobo23bobo$239bobo35b3o419boobo64boboo6boo6boboo
86boo4boo48b3o6bobo$239bo458bo5bo63bo3bobooboo6bobbo85bo4b5o47bo9bo8bo
40b3o6b3o$242bo454bo3b4o65bobbo11bobo85bo3bo3boobbo47b3o13bobo34bo4bo
bb3o4b3o$242boo36bo404bo10bobb3oboo63boobbo4bo94bobbo6bobbo40boobo4boo
12bobbo33boo5boob5ob3o$242boo35bobo402boo10bobbo68bobo6bo94bo53boboo3b
obo13boo34bobo3b3o4booboo$241boo17boo17bobo402bobo5bo5boo70b3o3boo80b
oo5boo7bo7bo37boo4boboo3b3o61bobo$237booboo18boo18bo410b6obo66boo3bo
69bo16boo5boo6bobo6b5o33boo6bo5b3o51b3o6bobbo$237bo4bo444boobbobboobb
oo64boo4bo3bo3bo61bo10boo5bo7bobboo10bobo36bobo4boo4bobo50b3o7bo$237bo
b4o4boo438boo4boobb3o15bo50bo74bo8boo5boo9boobboo46b3o4boobboo55bobob
4obbo$241boo3boobo418bo8boo35boo52bobb3oboo65boo8bo4bobobboo4boo50boo
6bobo59booboo$241boo4bo419boo8bobb3o6boo3bo19bobo51boobo70boo10boo3boo
b4o56bobo3boo3bo56b6o$241boo4bobo403boo12bobo7bo5b3ob3obbo126b3o32boo
10bo61b4o$243bobboobo12bobo388bobo15b3o4bo6bob5o25boo35boo12bo3b6o41bo
bb3o12b3o26bo57bobo$242boo18boo389bo7bo8boo3boo6b3obo28b3o35bobo10bob
6o3bo41bobo14b5o18bo65b4o$242bo4bo3bo11bo392bo3bob3o4bo6boobbooboo5boo
24bo37bo15b3obbo3boo44bo12b5o17bo3bo61b4o$243bo4bo4boo401boobo3boo3b4o
bobo6b3o5bobo64bo9boo5boo47bo8boo6boo17booboo63boo$249bobo3boo183bo
218b3o5boo4bo3bobo3boo5bo10bo10boobobo39boo10boobboboo48bobo4boo8bo16b
o3boboo100boo$250bo5b3o180b3o223bo3bo6boo22b5o6bo5bo39boo8boo3boobo52b
o7bo5bo17boob4o$253b3o182boobo214bo3bobo7bo3bo3bobo14boo3boboobo4bo3b
oo40boo8boo4bobo50bobbo6bobo5bo21boobbo$255bo182b3o214boobob3obboo3boo
bbo4bobo5bo6boobo5bobo3bobbo34boo6boo3bo7bo4bo51bobbo8boo27boobo$256bo
3bo177b3o214bo3bo6b3obbo6boob5obo3bo3b4o10bo37bobo3boobbobobobooboo5b
4o48bobbo11bobbo23bo$255bo183boo213boo5bo4b3o5bo8boo4b4obbo15bo35bo5b
3o4bo4boo7bobbo62bobbo23boo84b3o34bobo$256bobbo394bo6bo5boo3bobo15b3ob
oobbo5bo3bo41bo10bo12b5o47bobo12boo7boo15b3o83bo36bobboo$257bo397bo8b
oo11boo19boo3b3obbobo39boo11boo10bobbo49bo21boo15boobbo82bo37b3o$661b
5o10boo13boo5boo5bobobbo52boo12b3o91bobo82boo34bobboo$660boo3bo11bobo
10boobo6bo3bo4b3o3boo56b3obobo42boo4bo39bo3bobo31b3o48bo35b4o$660bobb
oo5b3o4bo12boo9boo6b4oboo57boboobo3bo38boo4boo39b6o32bobb3o85bo$659bo
5bo4bo8boo20bo8bo4boo56boboboo3boo39bobboboo40b3o34bobo44bo40b3o$663bo
7bobb3o4bo33bo54boo5bo6bo40booboo82bo38b4obo38bobo$661bobboo7bobbo5boo
3boo22boobbo53boo7bo3bo127bo40bo4bo5bo14boo18boo$660b3o13bo6bob3obo81b
o10bo36b3obbo26boo59bobo37bo4boobboo14boo18boo$661bo3boo9bo6bo91boo5b
oo35bobb3obo23bobo52boobo6bo38bobb3obobo$661b4o6b3oboo9b3o86bobo4bo37b
6o26bo51boo3bobbobbo42booboo$357bo304bobo4boobo3bo8boo88bo3bo118b3o4bo
bbobbo3bo39booboobboo$289boo65bo305boo5bo4bobobo5boo92boo31bo6boo78bo
6bobbobbo3bo40boboo$289boo65b3o303bobo5boo3b3o6bobo3b3o86bobbo27boo5bo
bbo22bo57bo3bo6bobo41bobobbobo$660b3ob3o9bo9boobbo79boo38bobo3boobo22b
oo44b3o7bobbo8boo45boo4boo$659boo4boo18b3o4bo77bobo3b3o35bo26boo56bobb
o6b3o31b3o19booboobo$661bo5bo7bo9bobobboo78bo3bo4bo33bo27boo57bo5bo3bo
32bobb3o16bobboobo6bo$665bobo6boo9boo86boo38bobbo15b3o11boo45bo8bobob
oobo34bobo17boo6bo3boo$664bobbo5bo3boo6boo86bo5bo52bobb3o8bo46boo9boo
43bo19boobo4boo$282boo380bobbo5bob4o7bo146bobo9bo62bo38bo24bo$280boobb
o5b3o372bobo4b5o161bo5b3obboo41boboo53bobo17bobbo$280boob3obbo3boo375b
o5bo160bo7boobo43boobbo9bobbo33boobo6bo19bo$273b3o4b3oboobbobobboo371b
6o3bo162bobo3booboo44bo47boo3bobbobbo17boo$283boobbo5bo117bo256b3o5boo
13b3o72bo64boobo6bo3bobo41b3oboo40b3o4bobbobbo3bo$283bo4bobboo117b3o
258boobboobo12bo74bo63boo3bobbobbo4bo44bobo41bo6bobbobbo3bo$263b3o15b
oo5bo120boobo252boo4b3o4bo6b3o6bo71bo57b3o4bobbobbo3bo45bobo48bo3bo6bo
bo$263bobb3o12bo27boo98b3o245boo6bobobbo3bo10bo6bobbo128bo6bobbobbo3bo
44boobbobo42bobbo8boo$264bobo42bobo97b3o244boo7bo3booboobobo8bo6boboo
130bo3bo6bobo43boboobbobo43bobbo6b3o$269bo39bo100boo246bo3bo5b5ob3o11b
oo3boboo127bobbo8boo46bobo50bo5bo3bo$267bo392boo11bo15bo3bobo129bobbo
6b3o41boo58boboboobo$269bobo387bo4boo27boboo129bo5bo3bo42boo60boo$262b
oobo6bo383boboobo4bo16b3o3boo6bo130boboboobo109bo$261boo3bobbobbo382b
6oboobbo7bo8bobboobbob3obo133boo94bo$255b3o4bobbobbo3bo377bo4bobboo6bo
8boo7bobbobboobo140bo90boboo13bobbo$255bo6bobbobbo3bo376boo6boobboo3bo
19boobooboobo229bo4boo5b3o$258bo3bo6bobo372b3obbobo10bobobo25bobbo135b
obbo88b3o4b3o6bo$255bobbo8boo375bo11boboo4bobo24boobbo226boobbob4o4bo
bbo66boo$256bobbo6b3o378bo4boobobobo5boo5b3o248bo4bo4boob3o67boo$257bo
5bo3bo376bobbo4b3o7boobo5bo4bo6boo239booboobbo$259boboboobo378bobbo5b
oo6b3o10bobo6boo239bo4bo$261boo383bo15boo5boob6o4booboo241bo$265bo382b
oboo3bo3bo3boo6bo3boo5booboo28bo282bo$338bo311bob4o4boo20boobo28b5o
276bo3bo$262bobbo60boo9boo311boboobobo5boo19bo29bobboo275bobboo5b4o3bo
$325boo3bo6bobo307b3ob4obo7bo11b4o36boobo272bo10boboobboo3bo$327boboo
15b3o297bobo16bo10b5obo308bo4boo4bo12bo$329b3o5bobo4booboo297bo3boo6b
ooboobo11boo4boo35bobo256boobo8bo6bo4bobbobobboo3bo$329bo6boobobobo
302bob3oboo3boo5b5o10bobboboo292bo3bo8bobob5obboo7boobbo$331b3obo6bob
oo303boob3obo8boobo11boo4bo25b3o6b3o254bo4bo13boo4bob3oboobobo8b3o$
320bobbo8boo7bo305b3o4bo27bobobo20bo4bobb3o4b3o255boo15bo6b6o13bo$319b
o4bo7boo5boo306b3o16boo14bobb3o4bo13boo5boob5ob3o257bobo13bobo23bo$
319bo4bo9b5o313boo3bo4boobo14bo3bobo4bobo12bobo3b3o4booboo168b3o101bob
oo$323b3obbo53bo263bobo3boo3bo3boobboobo13bo3bo3bobbo24bobo171bobb3o
79bo6boo11boo46b3o$328bo52b3o261boobo5bo8boboo16boo6boo15b3o6bobbo172b
obo80b5o4bobbo56bo$311boo10boboo53boobo270boboboo9bo13bo23b3o7bo180bo
10b3o58boo4bo6boo61bo$310boo9boboobo3b3o47b3o258b3o4bo5b3o10bo41bobob
4obbo176bo73bobo11bo63boo$311bobo7boboobb3obbo47b3o258bo5boobobboobo
54booboo182bobo8bo60bo5boboo6bobo60bo3boo$311b3o9bobbo5bo48boo259bo4b
oobobbobobboo3bo3b4o40b6o174boobo6bo6bo62boo4bo4bobo67boo$311boo8b3o3b
obboo312b4obo3boo7boo3b4o219boo3bobbobbo5bobo61bobbo6b3o71boo$313bobo
12boo315boo7bobbo4bobo219b3o4bobbobbo3bo69bo6booboo66b6o$654bo11boo
216bo6bobbobbo3bo21bo49bobobobbo68bobboobo$315bobo333boo4bo8b3o218bo3b
o6bobo20b3o112boo13bo4bo$317b3o330b3o3b3o225bobbo8boo24bo52bo4bo55bobo
10bo6bo$317bo330boo4bob3o7bo39boo177bobbo6b3o78b4o56bo11bo$316bo331boo
bbobobobo7bobo36bobbo177bo5bo3bo15boo125bo7boo3bo$311boboobo4bo325bobo
bbobboo5bo43bobo179boboboobo15boo3bo122boobboobobb3o$310booboobo331bob
oo4bo4boo4b3o37bo182boo21boboo126bo5bo$310bobo4bo328boobboo4bo4bobo3bo
bo224bo20b3o125bobo3bo$315boo329b5o3boboo8bo47boo199bo125boboo3bo$315b
o3bo37bo293bobbo9b3o46b3o175bobbo22b3o120booboo$314bo3bo30bo6bo292b3o
bbobo8boo47boo194boobo4boo120bobbo$348bobo5b3o287bo3boo4bo55bobbo194bo
boo3bobo122bobo$314bobbo29bo3bo295boo7bobo49bobb4o189boo4boboo3b3o35b
oo85bobboo$313boobo31bo3bo297boo3boo50b4o3bo22boo164boo6bo5b3o35bobo$
313bo34boo294boo4boo3bobbo48bo4bo24bobo164bobo4boo4bobo28boo5bo$312boo
35bo3bo290bobobbobboob3o50bo21boo5bo166b3o4boobboo31bobo3boobbo$312bo
38bo292bo3bobbooboo54boo18bobo3boobbo163boo6bobo33bo11bo$313bo37b3o
293b5o3bo49boo23bo11bo163bobo3boo3bo25bo7bo3boo3b3o77bo$350boob4o291bo
56boo26bo3boo3b3o167b4o26bo8boo4boo4bo75bobo$348bo4b4o298bo43boo18bo
13boo4boo4bo162bobo31b3o12b7o74boobo$348bobbobboo278bo17bobbo42boo3bo
14bobo18b7o164b4o4boo38b4o76bobbo4bo$354bo278boo11b3obb3obbobo41boboo
13bo22b4o80bo85b4o3boo3bo104boo9bobbo3bobo$352bobbo277bobo10booboo7bo
43b3o12bobbo103bo86boo6boboo34b3obbo64bobo8bobbo3boo$352bobbo291bobo3b
oo3bo43bo13boobo19b3obbo79bo96b3o32booboo66bo11boo$348bo6boo279boo10bo
bobboo49b3o8b3o20booboo178bo36boboboo66bo$347bobobobbobo279boo14bo3bo
48boo9booboo19boboboo177b3o37bobbo63boo3bo$348bo6boo288b3o3bobo51boo9b
obboo24bobbo167boobo4boo38b3o63boobbobo$349boobo274bo6boo3bo5bo3bobbo
52boo10b3o26b3o167boboo3bobo38bo66boboobbo$351bo274boo5bobbobobobboboo
6b3o49boo11bo27bo163boo4boboo3b3o105boobob3o$342b3o281bobo3boobo3bobb
3o8bobbo48boo202boo6bo5b3o38boo65bobo3boo$342bo287bo9b3o11b3o49boo38b
oo162bobo4boo4bobo38boobobo61bo5bo$345bo283bo12bo10bo3bo49bo38boobobo
158b3o4boobboo44bo3bo45b3o17boo$342bobbo283bobbo10bo12boo48bo42bo3bo
156boo6bobo43boo5bo45bo12boo$343bobbo296bo9bo4bo42boo43boo5bo32boo124b
obo3boo3bo42b5o5boo40bo10boboo$344bo307b3obbobbo40bobobbobo39b5o32boo
3bo127b4o33b3o17boo43b3o5bo4bo$346bobo305bobo4boo38bo3bobo79boboo123bo
bo60bo43b6oboo3bo$348boo299boobbobbobbobobo40boobbo80b3o124b4o104bo4bo
$349bo299bo6bobobboo42bobo81bo126b4o42bo60bobo4boo$348boo299bobo9bo37b
oo3boo52bo32b3o123boo43boo58b3o$347b3o305bo6bo35boobob3o51b3o24boobo4b
oo167bobo57bo$342boobooboo304boo6bo37bobo53bobb3o22boboo3bobo228bobo
24b3o$342bo3boboo304bobobboo94bo3bo18boo4boboo3b3o229b5o21bobbo$342bob
3obbo308b4o35boo56bo6bo14boo6bo5b3o230boobo21bo$347boo309boboo27b3o5b
oo3bobo51bo4b3o14bobo4boo4bobo255bo3bo$346b3o301bo38bo6bobo79b3o4boobb
oo258bo$649boo39bo4boo81boo6bobo34boo225bobo$649bobobb5o33b4obo56b3obb
oo19bobo3boo3bo30boo3bo98boo$345b3o305b6o34boo17boo38boobbo29b4o34bob
oo97boo3bo$345b3o304bo3boo53boo3bo30boo3boobo26bobo41b3o98boboo$653bo
59boboo30boo6boo27b4o38bo102b3o$344boo369b3o35bo3bo26b4o40b3o98bo$344b
o370bo41bo27boo34boobo4boo100b3o10boo$717b3o35bobo63boboo3bobo93boobo
4boo$710boobo4boo95boo4boboo3b3o93boboo3bobo10boboo$710boboo3bobo94boo
6bo5b3o87boo4boboo3b3o11boobo$704boo4boboo3b3o95bobo4boo4bobo86boo6bo
5b3o11boobo$703boo6bo5b3o70bobo22b3o4boobboo90bobo4boo4bobo13booboo$
704bobo4boo4bobo73bo21boo6bobo92b3o4boobboo16boobo$704b3o4boobboo72bo
3boobo20bobo3boo3bo89boo6bobo20b5o$704boo6bobo81bo26b4o93bobo3boo3bo
20boo$706bobo3boo3bo72b3o3bo22bobo104b4o$712b4o75booboo25b4o97bobo$
708bobo110b4o99b4o$710b4o76boo30boo100b4o$710b4obb3o206boo$711boo3bo
62b3o$717bo60bo3bo$719boo57bo3bo$720bo55boob3oboo504boo$776b3o3b3o503b
oo$717boo57b3o3boo506bo$709b3o5boo58boobboo509boo$709bo6bobo59bobbo
509bo$710bo4boo62b3o506boo$712b4obo63bobboobo499boo$713boo66bobo3bo
155bo344bobobbo$717bo63bo5bo154bo345b3obo$716bobo57boo4bo3bo155b3o343b
oo$717bobo56boo5b3o499boobo$684boo196bo401bo5bo$683boo32bobboo160bo
400bo3b4o$685bo18bo12bobboo50boo108bo388bo10bobb3oboo$664boo21boo14boo
13bo52boo3bo493boo10bobbo$663boo3bo6bo5boo3bo16bobo9boboo54boboo493bob
o5bo5boo$665boboo5boo5boo12b3o12boboboobo57b3o499b6obo$667b3o3bobboboo
3boo3bo4boo3boboo4boobobbobobo58bo47bo449boobbobboobboo145boo$667bo4b
5o7bo7bobbobobbo6bobbobbo12bo50b3o41boo450boo4boobb3o15bo129bobo$662b
3o4boobbo5boo3bobbo3bo5bobob4o5boobo11boo6b3o34boobo4boo42boo430bo8boo
35boo129bo$662bo7b4obo10bo3boobo8bo3boobboo13bobo5bo36boboo3bobo473boo
8bobb3o6boo3bo19bobo131bo$663bo6bobbobo22bobobo3bobb3obboo18bo29boo4bo
boo3b3o459boo12bobo7bo5b3ob3obbo155boo$619bo45b3obbo4bobobboo4bo3b3ob
oo3bo6bobboobbooboo4b3o11boo25boo6bo5b3o459bobo15b3o4bo6bob5o25boo129b
oo$618boo50bo3bo4boobbobobob3obbo3bo5bo4boobobbob3obbo12boo27bobo4boo
4bobo459bo7bo8boo3boo6b3obo28b3o128boo$618bobo7boo38boo3bobb3obb3o4bo
4bo4bo7bobbob4obboboob3o3b3o33b3o4boobboo465bo3bob3o4bo6boobbooboo5boo
24bo121boo6boo$625boobo31b3o3bob4obo3boo3bo3b3obbo10bo3bobbo3bo3bobo3b
o4bo5bo29boo6bobo467boobo3boo3b4obobo6b3o5bobo145bobo3boobbo$621boobb
oo28boo3bo4b3o5bo9b3o4bo3b5ob3o6bo8boobooboo3bo4bo31bobo3boo3bo13boobo
450b3o5boo4bo3bobo3boo5bo10bo10boobobo120bo5b3o$621boobboo28bobo5boboo
8b3o4boobo4bo4boboo5bo5bo8b3oboobo4bobbo37b4o15bo3bo455bo3bo6boo22b5o
6bo5bo123bo$622boo31bo3bo3bobo9boo5bo4bobbobbo17bo9boo7b3obbobo30bobo
20bo4bo445bo3bobo7bo3bo3bobo14boo3boboobo4bo3boo125boo$622b4obo5bo9boo
13boo3b4o8boo15bo18bo58b4o19boo446boobob3obboo3boobbo4bobo5bo6boobo5bo
bo3bobbo132bo$621boboboobobb3obboo5bobo12bo11boo98b4o21bobo193b3o120b
3o124bo3bo6b3obbo6boob5obo3bo3b4o10bo134bobo$620boo8boobobbobbobo15b5o
boo3bobo9boo12b3o26boob4obbo38boo218bobbo245boo5bo4b3o5bo8boo4b4obbo
15bo133bobo$620boo3b3o3bo5bo3boboo15booboobbo3bo8bobo3b3o5bo29bo3bo61b
o6boo192bo248bo6bo5boo3bobo15b3oboobbo5bo3bo104bo33bo$620bo10bobbobo
23bobooboo3bob5o3bo5bo8bo29bo63b5o4bobbo189bo3bo245bo8boo11boo19boo3b
3obbobo101boo32booboo$621b3o9bobb9obboo6bo4bo4bo4bob6obbobo4bo9b3o83b
oo4bo6boo37bo155bo255b5o10boo13boo5boo5bobobbo101bobo31bo$625boobboob
oobobbo6boboo5boo3boboo4bo5boo3bobobo6bo93bobo11bo36boo156bobo251boo3b
o11bobo10boobo6bo3bo4b3o3boo76bo38boo12bo3bo$625boo3boo5bo5bo5bo4bobo
3b8o11bobboo4b4o4boobo83bo5boboo6bobo26bo5bobo409bobboo5b3o4bo12boo9b
oo6b4oboo76b5o18boo14boo11boo$616b3o3boo20b5obbo9b5o9bo5boobb3o4boob4o
85boo4bo4bobo29boo416bo5bo4bo8boo20bo8bo4boo75bobboo6bobo3b3o3boo8boo
6bo9boo$616bo4bobbobbobo16b4o7bo18boo11boo93bobbo6b3o30bobo3boobobo
410bo7bobb3o4bo33bo78boobo4boobbobbo12boob5o5bob4obbo3bo$617bo6b5o11b
oo8bobbobobbo26bobbo5b3o87bo6booboo35bo7boo406bobboo7bobbo5boo3boo22b
oobbo84boboo3b3ob4o6bo5b3o4bo6bobobbo$620bobobb3o5boo4boobo11boobbo5bo
boo18boo98bobobobbo36bo4bo5boo403b3o13bo6bob3obo101boo4bobo4bobbo6bo5b
oobobo6bobo5bob3o9boo6boo$619boo4b3o4boo5bo10boo6bo6bobo162bobbobb6o
405bo3boo9bo6bo107bobo4b3o3boo7boo4bo4boobob5o4boobboo9boo7bobo$618boo
b3o10bo3b3o8boobo3bobo8bo120bo4bo3boobo446b4o6b3oboo9b3o102bo11bo15bob
oo3boo5bo9bo10boo6bo$628boo9bo7boboobboo3bo130b4o4bo3bo446bobo4boobo3b
o8boo107bo3boboobboo3bo9bo4bo8bo3bo3bobboo5b3o11bo$621b3o11boo3bo4boo
7boobbo138bo4bo21bo11boobboo406boo5bo4bobobo5boo61boo45boo4bo4bobboo4b
oobbobbo11boobboobbo9b3o10bobo$620bo4bo8boobobo3boboo4boboobboobb3o
135boo23bo11bob4o406bobo5boo3b3o6bobo3b3o53boo9bo37bo12bo3boob6o3bobb
oo4b5o3b3obob3o7boo5bobo$617boboo3bo5boobb7obbobbo6bo3bo143bobo20bo11b
o4bobo402b3ob3o9bo9boobbo57bo6boobo30boo3bobbob3o3boob3obo6bobbobboo9b
obbobb4ob4o6bobo4bo$616b4ob5o4bobo3b4o3bo8bobo11boo176bo400boo4boo18b
3o4bo57boobboobbo30bobobboo3bo8b4obbobobobb3ob8o9boo5boboboobbo6bo$
616bobo3boobobobbo16boo4bo11bobbo12bo114bo6boo38b3o401bo5bo7bo9bobobb
oo58b4obbo26b3o3bo4b7o4bobo5bo6bo9bobo4bobo7bo5boo5bo3bo$624boobo5bo
31bobo12b3o112b5o4bobbo443bobo6boo9boo65b3o28bo6boo5boo4boo6b5oboobbob
oobboobo18booboo5bo4bo$622bobbo7b3o30bo12bo109boo4bo6boo39bo406bobbo5b
o3boo6boo66bo30bobboobb3obo7bo7boo7bo18boo10boo6bo3bo$616b3obboo3boo7b
o42boo109bobo11bo446bobbo5bob4o7bo62b3oboobo4b3o7b3o13boo3boo5bo4bo46b
o7b3o$617boobobbo11boo45bobo104bo5boboo6bobo35boobo404bobo4b5o72b3obbo
bobboob5o4bo14bobobbobbo3bobo22boo28boboobo$617boobo5bo9boo22boo19boob
oo104boo4bo4bobo39boob4o405bo5bo73bo3bobbobbobbo4boo3bo13boo3boo9boo4b
3o4boo6bobo26bobo$610b3o4boo4bobbo9bobob3obboo12boo18bobo108bobbo6b3o
41bobb4o401b6o3bo78bo5boobo3boboo15booboo4b3o3b3o3bo7bobo5bo28bobbobbo
$610bo7bobobo4boo9boo4bo3bo5boo4bobo15boo4bo105bo6booboo43boo8boo397b
3o5boo13b3o55boo8bobobo12bo10bob4o3boboob3obo4bo4bo10bo$611bo14boo9bob
obbo5bo4boo5boobo15b3o110bobobobbo55bobo399boobboobo12bo58b3obbobboo5b
3o3booboobo5boobbobb3obo14bo16b3o$613b3obbobo15boobobbobb3o7bo5bobo14b
oo175bo395boo4b3o4bo6b3o6bo55boobobo7bo8boboobbo3boo4boo3bobo9b3obo6bo
bobo$614b3o10bo8bo7bo12boobbobo16bobo111bo4bo443boo6bobobbo3bo10bo6bo
bbo49boo4bo4bo4bo12boob3o4bo19boob3obbobbobb4obboo$616boo4bo5boo27b4o
bbo16bo51boo61b4o443boo7bo3booboobobo8bo6boboo48bobo3bo4boboo19bo12bo
11bo4b6o6b3o$617boboboo7boobo8b3o14boobboo66boo85b3o423bo3bo5b5ob3o11b
oo3boboo48bo4bo4bo13bo9bo5boo5bo18bobbo3bo4bo$612b3o4bobobo3bo3bobo7b
oobbo6boo6bo4bo67bo86bo425boo11bo15bo3bobo52boboboo8bo5boo7bobbobboo3b
o5bo19bo3bo4bo$612bo14bobobobo9bo7boo3b3oboo3bo69boo82bo425bo4boo27bob
oo51b3o3bo6boo5bobo9bobbo9boo20bo$615boo11b3o22bob4obbobo17bo12boo38bo
507boboobo4bo16b3o3boo6bo49bo4b3oboo3bobo4boo8bo3boboo6b3o5boo$612bobb
oo8boobbo31bo18bobo6bo4boo118boo425b6oboobbo16bobboobbob3obo50b11o10bo
7boo4bo3bo3b3o6bobbo$615bo9bo3bo25bo3bobbobo15bobbo5bo43bobbo77bob3o
124bo292bo4bobboo6bo5bobo9bobbobboobo54boo6bo7boobobo4boobobo3bobbo3bo
bo7boo$610boboo11bo29bo3bo4bo16boo7bo41boo80boobbo123bo292boo6boobboo
3bo5b3o11boobooboobo52bobbo11b6o5bobobbo4bo7bo$609b3o3bo11bobbo29bo27b
oo41bo83b3o124b3o285b3obbobo10bobobo5boo18bobbo53bo12bo6boobo3bo3b5o6b
3o$608b3obo3bo9b4obo55bobbo17boo17boobbobo71boobo7bo413bo11boboo4bobo
4bobo17boobbo49boobboboboo3b3o9bo4boo4boboobbobboboo$607b4obobbo13bobb
o54b3o18bobo16bobobbo72bo3bo130bo292bo4boobobobo5boo5bo71boobob3o6bobb
o6bobo4bo6bo8bobbo$608bo14b3o5b3o53bo20bo14bo3bobo75bo4bo129bo289bobbo
4b3o7boobo6bo73bobb3obboo3bo22bo8b3o$602booboboboo12bo8b3o50b3o3b3o15b
oo11boo4boo77boo131bo290bobbo5boo6b3o20boo59boobo4boo5bobo28bo4boo$
597boo3bo4bo18bo6boo74bobbo9bobo3boo79bobo420bo15boo20bobbo58boobo4bo
8bo32bobbo10b3o$597bobobbo20bobbobb3o57bo19bo17b3o14boobo486boboo3bo3b
o3boo20boo28bo30b3o14bobo30bobo11boo$597bo6b3obobo13bo4bo59bo21bobob3o
7bo3bo14bo3bo55bo6boo423bob4o4boo52b5o27bobooboobboo32bo7bo11boboo$
600bo3boo3bo15bo3b3o57bo29bo4boobbo15bo4bo53b5o4bobbo7bo412boboobobo5b
oo49bobboo20boo9bo4boo8boobboo17boo$600boo28boo46b3o32bo9bo22boo49boo
4bo6boo9boo410b3ob4obo7bo19b3o29boobo19bobo4boo21boobbobo7bo4bobo19bo
4boo$630bo47bobb3o14bo15b4oboob4o22bobo46bobo11bo10boo408bobo16bo16boo
boo52bo7bobo5bobo7bobo3boobobo5boo31boo$630b3o46bobo15bobo24boo71bo5bo
boo6bobo416bo3boo6booboobo17bo4bo31bobo20bo3boo7bobo7b3o4bo4bo4bobo5bo
boo$626bobbo4bo49bo11bobbo43bo6boo46boo4bo4bobo420bob3oboo3boo5b5o13b
oobobo54boo11bo8bo24boo18bobo$625b3o6bo47bo14boo43b5o4bobbo43bobbo6b3o
424boob3obo8boobo15boobbo23b3o6b3o22bo10bo7boo9bo8boobboo18bobbo48bo$
624boo9bo48bobo49boo4bo6boo47bo6booboo423b3o4bo30bo21bo4bobb3o4b3o20b
3obboo4bo3bo10bobo11boobboo69boo$623boo7boo43boobo6bo48bobo11bo49bobob
obbo425b3o16boo18boo18boo5boob5ob3o16boobbo3boo5bo3boo8b4o7bo4boo4boo
15boo49bobo$624bo51boo3bobbobbo48bo5boboo6bobo483boo3bo4boobo28b3o9bob
o3b3o4booboo17bobb3o4bo4bo3bo9bo9b4obb4o4bo14bobo$615b3o14boobo34b3o4b
obbobbo3bo49boo4bo4bobo51bo4bo424bobo3boo3bo3boobboobo49bobo20bob3o9b
oobbobo18bobb3o3b3o18boo51boo$615bo8bo7bobbo34bo6bobbobbo3bo49bobbo6b
3o53b4o424boobo5bo8boboo25bo5bo9b3o6bobbo21bobbo8boboo24bo9bo70boo$
616bobb5o8bobo38bo3bo6bobo50bo6booboo491boboboo9bo22bo5bo8b3o7bo23bo
11bobbo26b5obbo$618bo51bobbo8boo34bobo18bobobobbo480b3o4bo5b3o10bo24bo
5bo10bobob4obbo19b3o11bo33bo4boo18bo8bo3boo34boo$619boo50bobbo6b3o38b
oo209b3o291bo5boobobboobo54booboo22boo14boo32boo21bobo7bo3boo33bobbo$
672bo5bo3bo35bo5bo16bo4bo186bobbo291bo4boobobbobobboo3bo3b4o23b3o14b6o
20boob5o11boboo51bobbo44boobo$674boboboobo42bo17b4o187bo234boo60b4obo
3boo7boo3b4o65boo20bo53boo22b3o16b3o$676boo41b3o211bo3bo230bobo60boo7b
obbo4bobo22boo46boo3bo11boobbo4bo57b3o14bo18bo$680bo37bo4boo208bo234bo
71bo11boo19boo46bobobo12bo6bobo56boo19bo11boo3bo$717bo216bobo234bo65b
oo4bo8b3o34bo26b3oboobo14bo7boo57boo15bobbo10boo5boboo$677bobbo37bobo
450boo63b3o3b3o43bobo20b3obbobbo3bo15bo4bobo76bobbo11bo5b3o$719bo23bo
423boobboo61boo4bob3o7bo34bobbo20bo6bo4bo15boo3b3o77bo15bob4o12b3o$
741b5o421bobboo62boobbobobobo7bobo33boo22bo4boo4bo15boobbo82bobobboo6b
obboo14bobb3o$738b5ob3o420bob3o61bobobbobboo5bo65b6o73boobo31boobobbo
3boo19bobo$738b5obbo422bobbo62boboo4bo4boo4b3o59boo28bo47bo3bo7bobo26b
obob3o23bo$705bo36b3o422bo64boobboo4bo4bobo3bobo88bobo46bo4bo6bobo26bo
bo25bo$704boo37bo421b3o64b5o3boboo8bo88boboo50boo8b3o21bobo32bobo$704b
obo457boo71bobbo9b3o87b5oboobo47bobo15bo41boobo6bo$1163boob5o64b3obbob
o8boo86boobo4bobbo63bobo39boo3bobbobbo$707boo36bo416boo68bo3boo4bo95b
oo8b3o41bo6boo12bobbo33b3o4bobbobbo3bo$707boo35bobo402b3o9boo3bo66boo
7bobo92boo9boo41b5o4bobbo10boo34bo6bobbobbo3bo$725boo17bobo402bo11bobo
bo70boo3boo80boo5boo6boo9bo35boo4bo6boo53bo3bo6bobo$703boboo18boo18bo
404bo5b3oboobo66boo4boo3bobbo78bobo4bobo3bobbo6booboo34bobo11bo50bobbo
8boo$702b4o446boobbobbo3bo66bobobbobboob3o60b3o9boo5bo6bo3bo3bo7bo38bo
5boboo6bobo47bobbo6b3o$702bo3boo4boo439bo4bo4bo66bo3bobbooboo74bobo3b
oobbo6boo12bo38boo4bo4bobo52bo5bo3bo$707bobb3obo428bo13boo4bo15b3o51b
5o3bo62boobbo7bo11bo4bo3boo47bobbo6b3o55boboboobo$714bo417b3o7boo11b5o
19bo54bo72boo10bo3boo3b3o55bo6booboo58boo$706boo4bo15bo390bo12bo9bob5o
boboboobo22bo60bo43boo32boo4boo4bo56bobobobbo64bo$706boo4b3o12bo390boo
13bo3boo4bob3obb3obbo26boo36bo17bobbo42boo3bo13bo21b7o$707bo3bobbo12b
3o388bobo14boob3o6boo32boo36boo11b3obb3obbobo41boboo12b3o21b4o60bo4bo
61bobbo$707bo5b3o409b3obo6boboob6obobbo4bo62bobo10booboo7bo43b3o14b3o
83b4o$708boo3b4o404boobboobb3obb3obo4boo4bo5boo23bo52bobo3boo3bo43bo8b
oo7bobo16b3obbo102bo$716b5o400boobboo3b4o4bobob3o3bo6bobo20bo4bo38boo
10bobobboo49b3o4boo25booboo103bo$718b3oboo180b3o215boo6bo4boboo9bo16b
3o9b3obobo38boo14bo3bo48boo8bo4bo19boboboo100bo$715boobbo3bo180bobbo
214b4obo3bo3boboo3bo17boo3bobb3o5booboo50b3o3bobo51boo7bobo4boo22bobbo
$723boo179bo216boboboobo7b3o3bob3o12bobbo6boo4boo36bo6boo3bo5bo3bobbo
52boo7bobbobboo24b3o$720booboo179bo3bo211boo8boobbo3bo5boobboob3o4bo3b
o11boo36boo5bobbobobobboboo6b3o49boo9bo3boo24bo$722b3o179bo215bobobb3o
4boo3b3o8boo5b6obbobo9boo35bobo3boobo3bobb3o8bobbo48boo12bobbo110boo
34boo$721bobo181bobo211bo17boo12boobo4bo10bo3boo40bo9b3o11b3o49boo12b
oo7boo15boo84boo35b3obbo$722bo397boo8bobbo8boo19boo3boo3b3o39bo12bo10b
o3bo49bo21boo15boobobo82bo36boobo$1126booboobbo8bobo13bo4bobbobbobbo
42bobbo10bo12boo48bo42bo3bo82boo$1126bobo13bo12b3o9b3o3bobo4boo47bo9bo
4bo42boo43boo5bo32boo47bo36b3obo$1125bobboobbo3boo5bobo10bobo6b3o7boo
3bobo55b3obbobbo40bobobbobo39b5o32boo3bo82bobbo$1125b3o7boo4bo35boo61b
obo4boo38bo3bobo79boboo43bobbo35bobo$1125booboobo5bobbo4b3o27bob4o54b
oobbobbobbobobo40boobbo80b3o39boobo41bo$1126bo12boo12bo22boobbo54bo6bo
bobboo42bobo81bo40boo4bo19boo15bo3bo$1126bo3bo8boo6boboboobo80bobo9bo
37boo3boo24bo60b3o38bobobbobb3o13boo16bobbo$1126bo3bo9bo8bobbobo86bo6b
o35boobob3o24boo52boobo4boo43bobbo35bo$1127boobo8boo10boo87boo6bo37bob
o26bobo52boboo3bobo40bobbo3bo$823bo303bo7b4obobbo96bobobboo117boo4bob
oo3b3o41bobo3bo$754boo65boo305bo5boobobobo7boo93b4o35boo78boo6bo5b3o
41bobobboo$754boo66boo304bo7bo4b3o5boo5boo86boboo27b3o5boo3bobo63bo9bo
bo4boo4bobo42boobb3o$1125boo3bo20bo3boo79bo38bo6bobo22b3o44bo9b3o4boo
bboo45bo$1125bobobboo9bo9boo3bo78boo39bo4boo24bo4bo41bo9boo6bobo34boo
17boboboboo$1125bo24bo4boo78bobobb5o33b4obo22bo5bo53bobo3boo3bo30boo3b
o15boo3b3o5bo$1130b3o6boo10bo87b6o34boo17boo6bo65b4o34boboo16bo6bo4bob
o$1130b3o6bobboo6bo87bo3boo53boo3bo8boo44b3o8bobo41b3o19boobo4boo$747b
oo380bo8bob3o8bobbo84bo59boboo7bo3bo44bo10b4o38bo22boo$746bobbo5boo
373bobobbobboo12bo148b3o4bobboobo38bo3b4o9b4o40b3o18boo$739bo5booboo4b
obboo372boo4bo163bo8bo3bo35boo5bo13boo34boobo4boo18boo$739bo6bobbo3b3o
bbo373b3o4boo162b3o4bobo42bo3bo47boboo3bobo19bo$739bo9bo3bo4bo376boo4b
o15boo137boobo4boo4b3o35bo9bo42boo4boboo3b3o$748bo4b5o117b3o263boo13b
oo72b3o63boboo3bobo42bo4boob3o41boo6bo5b3o$729boo14bobo6boo119bobbo
252bo5boobboboo6boo4bobo130boo4boboo3b3o45bo5bo43bobo4boo4bobo$728boo
3bo12bo28bo99bo246boo6boo3boobboboo7boo5boobo128boo6bo5b3o45bo3b3o43b
3o4boobboo$730boboo40boo99bo3bo242bobo5bobobbobobb3o9bo5bobo129bobo4b
oo4bobo42boboo3boo44boo6bobo$732b3o39bobo98bo246bo11bobbo16boobbobo
129b3o4boobboo46bobo51bobo3boo3bo$732bo143bobo247b3o5bo3boo14b4obbo
129boo6bobo43boo63b4o$734b3o387boob4o11bo13boobboo130bobo3boo3bo40boo
59bobo$727boobo4boo387b3o4bo3bo13boo6bo4bo135b4o105b4o$727boboo3bobo
383b3o5boobo5boobo7boo3b3oboo3bo131bobo110b4o$721boo4boboo3b3o383bobbo
4b3o9bo9bob4obbobo135b4o90b3o9bo5boo$720boo6bo5b3o377b3o4boboobooboo9b
o17bo137b4o90bobooboo6bo$721bobo4boo4bobo373boobbo9booboboo21bo3bobbob
o135boo89boobbooboo6boo$721b3o4boobboo375boo4bo8boo5bo20bo3bo4bo226bo
bb3o4bo3boo67boo$721boo6bobo378bobo4boob3o3bo3bo6boo9bo8bo230bo7bobobb
oo68boo$723bobo3boo3bo375b3o5booboobo3bobbo5booboo7bo239b3obo4bo$729b
4o377boo10bo5boo5bobbo3bo4bobbo242b4o$725bobo384bobo5boboo4bo6boboobbo
8bo242boo$727b4o384bobo4boobbobbo5bo4boo5boobo311boo$727b4o383boo4b3o
bbo3bo18bobo28b3o282bo$728boo61boobo7b3o308boboboobobo3bo22bo29bobb3o
274b5o12boo$791bo3bo6bo314bobbo7boo50bobo276b3o6b6obb4o$791bo4bo7bo7b
oo298boo13b3o10b6obo37bo270b3obbo6boobb3obb3o$793boo7bobo4boobo298b3o
bbo6boobb3o15b3o35bo260bo11b5obbo3bobb3oboo4bo$795bobo4b3obobboo303boo
bo5bobo6boo10bo4bo35bobo255b5o8bo3boobbo3bobo3bobb3o$801bo3boobboo300b
o3boboobobo6boboo12bobb3o27boobo6bo254bobboo15bo4b5oboobboo9boo$786boo
9boob4oboo305bo7bo10bo12booboboboo24boo3bobbobbo256boobo14bobo7bo14boo
$785b4o9b7o308boo7bo5bobboo11boobo9bo13b3o4bobbobbo3bo272bo3bo24bo$
784boob3o323bo4b4o5bo4bo12bobobobbo3bobo12bo6bobbobbo3bo169boo88bobo
10boboo$785boo3boboo317b3o3booboo5bobb4o11bo3b3o3bobbo15bo3bo6bobo169b
oo3bo99bo48boo$785boo4b3o52b3o262bo8boo5bobo3bo13b3o6boo13bobbo8boo
174boboo12boo64b3o6b3o57boo$776boo8boobboo54bobbo261bobo7boboo8boo37bo
bbo6b3o176b3o72bo4bobb3o4b3o58bo$776bobo7b3o6boo49bo260boo4bo5boobboo
7boo39bo5bo3bo177bo11bobo59boo5boob5ob3o60boo$776bo11bo3bo3boo48bo3bo
255boo5bobo3bobboo9bo41boboboobo180b3o69bobo3b3o4booboo60bo5bo$777boo
7bobo3booboo49bo261bo4b3obbobbobo9b3o41boo177boobo4boo7bo73bobo67boobo
$777bobbo6bo4b4o51bobo260boo6boo3bo3b3obbo3bo44bo174boboo3bobo4bobobo
62b3o6bobbo68bo3bo$777bo9bo322boo7bobo5bo3bo218boo4boboo3b3o4bobobo12b
o48b3o7bo67boobb3o164boo$779bobo337bo3bo4bo49bobbo167boo6bo5b3o19bobbo
49bobob4obbo65boobo167bobo$783bo334boobobo7booboo214bobo4boo4bobo20b3o
51booboo57bo13bo3bo164bo$781bobbo330b3oboo11bo217b3o4boobboo77b6o55boo
11boo5boo165bo$781bobbo329bo4bobbobo6boo38boo177boo6bobo140bobo10b3o
171boo$783b3o327boobobobbobo8boo36bobbo178bobo3boo3bo13boobo124bo7bob
oo167boobboo$779b3ob3o326bo3bo3boo11bo37bobo184b4o15bo3bo122bo3booboob
obbo166bobboo$775b3oboobb3o326bobo6bobobb3o4b3o36bo181bobo20bo4bo121bo
3boob3o170bob3o$775bo7boo330bobobo3bobbo5bo223b4o19boo129boboo171bobbo
$776bo6boo326booboo4boo5bo4bo46bo176b4o21bobo122bobbo4bo169bo$779b5o
39bo287boo3bo3boo7boo48boobbo173boo147b3o173b3o$781boo38boo289booboobb
obobo6bo46bobbobbo192bo6boo120bobbo172boo$780boo31b3o6boo288boo5bobobo
6bo244b5o4bobbo118bobobo169boob5o$780boo31b3o296boobo5bo55b4obbo185boo
4bo6boo37bo89bo167boo$779bobo31bobbo298bo5b3o48b3oboo5bo19bo165bobo11b
o36boo85bo3bo154b3o9boo3bo$778boo34b4o292bo4bo5bo50bobbobo24boo165bo5b
oboo6bobo26bo5bobo243bo11bobobo$778bobo33bob4o289boo3boo5boo50b4o3bo
15bo5bobo165boo4bo4bobo29boo252bo5b3oboobo$777bo331bobo3b5o55bo19boo
173bobbo6b3o30bobo3boobobo244boobbobbo3bo147bo$778boo37bo295boo3boo50b
oo23bobo3boobobo163bo6booboo27bo7bo7boo78bo164bo4bo4bo146boo$816b3obo
291bo6bo50boo27bo7boo163bobobobbo27boo7bo4bo5boo75bobo153bo13boo4bo15b
3o128bobo$812bobobo3boo297boo43boobo30bo4bo5boo197boo6bobbobb6o76bobo
142b3o7boo11b5o19bo$810bo3boboo294bo4b3obbo41bo3bo14b3o12bobbobb6o164b
o4bo3boobo117boo5bo124bo12bo9bob5oboboboobo22bo132boo$817b3o278b3o11bo
bbobbo45bo4bo13b3o189b4o4bo3bo105bo10boo4bobo122boo13bo3boo4bob3obb3o
bbo26boo129boo$810bobbo3b3o278bo13bobbo4bobobo41boo15boo198bo4bo33boo
bboo64boo10boo4boo123bobo14boob3o6boo32boo$820bo278bo12bobo9bo43bobo
11bo21boobboo175boo35bob4o64bobo9boo136b3obo6boboob6obobbo4bo147bo6boo
$813bo3bobbo280boo10bo3b3o60boobbo19bob4o177bobo32bo4bobo208boobboobb
3obb3obo4boo4bo5boo23bo122boo5bobbo$812bobobo4bo280bo11boo3b3o48boo9bo
3bo18bo4bobo218bo64boo141boobboo3b4o4bobob3o3bo6bobo20bo4bo119bobo3boo
bo$813bobooboboo289b6obb3o49bobbo6bobbo27bo169bo6boo38b3o63boobb3o137b
oo6bo4boboo9bo16b3o9b3obobo123bo$815b3o281boo3bo5boobbobbobbo61b3o26b
3o167b5o4bobbo105boobo136b4obo3bo3boboo3bo17boo3bobb3o5booboo125bo$
1091b3o5boobbobo4bo6boboo49boobbo200boo4bo6boo39bo67bo4bo135boboboobo
7b3o3bob3o12bobbo6boo4boo129bobboo$808boo281bo6bobo3bobb3o3bo56bo40bo
163bobo11bo106b3o4bo133boo8boobbo3bo5boobboob3o4bo3bo11boo135bo$807boo
283bo4boo6b3o4bo6boobo252bo5boboo6bobo35boobo63bo5bo134bobobb3o4boo3b
3o8boo5b6obbobo9boo133bobo$808bobo283b4obo19boo50b3o37boobo161boo4bo4b
obo39boob4o47boo12bobobboo132bo17boo12boobo4bo10bo3boo135boo$808b3o
284boo10bo11b3obo87boob4o158bobbo6b3o41bobb4o45boo153boo8bobbo8boo19b
oo3boo3b3o101b3o32bobo$808boo297bobo10bobbo43bo4boo38bobb4o32boobo121b
o6booboo33bo9boo8boo41bo9b3o146booboobbo8bobo13bo4bobbobbobbo104bo36b
oo$810bobo304boobbobboo40boo45boo36bo3bo122bobobobbo35bo19bobo42boo6b
ooboo144bobo13bo12b3o9b3o3bobo4boo96bo18boo12b5o$1117boo4boobboo37bobo
bboo78bo4bo164bo19bo44boobboobbob3o143bobboobbo3boo5bobo10bobo6b3o7boo
3bobo74b3o20boo15bobo10boboo$812bobo300boboobb3obbo43b3o80boo125bo4bo
103boobobboo145b3o7boo4bo35boo78bobb3o5boo5boo4bo8bo6bo10booboo$814b3o
297b3o4boo4bo41bobbo82bobo123b4o105bo4boo145booboobo5bobbo4b3o27bob4o
77bobo7b3o3boo12b4o8bo4bobbobboo$814bo299bobo9bobo35boo57boo201b3o58b
oo3bo29boo119bo12boo12bo22boobbo82bobbo3boo4b3o8boo3b4o4b5obobobo$813b
o312bo37bobobboo51bo27bo6boo169bo58boo33bobo118bo3bo8boo6boboboobo102b
o3bobbobobb4obo3boo6b3oboo5bobb5obboo10boo7bo$808boboobo4bo300b3o42bo
bboboo50bo3bo23b5o4bobbo165bo59bo34bo120bo3bo9bo8bobbobo101boo5boo5bo
8bo4boo4bobob4obboobo15bobo5boo$807booboobo305bo6bobo39boo50bo3b3o16b
oo4bo6boo230booboo151boobo8boo10boo103bobo8bo16b3o5b3o4b3o6bo10bo7bobo
$807bobo4bo305bobb3o37bo3b3o50bobobbobo15bobo11bo232bobo151bo7b4obobbo
116bobboobbobo17boo4bobo3boobo3b5o6boo$812boo308bobbo29boo5boo3boo52bo
3bobbo14bo5boboo6bobo383bo5boobobobo7boo61boo46bobb3o3boobb3o4bobbobb
4obboo5bobbo3boo3bo4boo12boo$812bo3bo308bo28boo5bo66bo15boo4bo4bobo
387bo7bo4b3o5boo5boo54bobo45b3obo3boo3bo3boob4o4boobboo5bobbo6bo3boo8b
o5b3o$811bo3bo298b3o39bo4bobo60bo19bobbo6b3o31boobo350boo3bo20bo3boo
55bo8b3o31bo5boobb4obo3booboo6boo12bobboobobbobbobb3obo3boo5bo$1114bo
9bo33boobbo56boo3bobbo16bo6booboo32bo3bo98boobo247bobobboo9bo9boo3bo
58bo3booboo30boo3boo3bobboobobobbo3b5o4b3oboobbo5boo3boobbo7bobbobo$
811bobbo300bobb6o34boo17boobo37boboo3bo20bobobobbo34bo4bo97bo3bo246bo
24bo4boo58boobo30boo3bobobo3b3obobo3bo6bobob3obboobboob3o5boo10bo3bo7b
3o$810boobo303bo59bo3bo30boo3boobo69boo99bo4bo250b3o6boo10bo66b3o27boo
11bo6boobo4bobboobb3o3bobboobo8bo7boo4bo6b5o$810bo307boo57bo4bo29boo4b
obo27bo4bo38bobo98boo252b3o6bobboo6bo99bobbobboo10bo7boo7bo18boo9b3o6b
3o$809boo368boo37boobo27b4o142bobo248bo8bob3o8bobbo60bo3bobo5bo9boo13b
oo3boboo8boo54bo$809bo371bobo36b3o64bo6boo113boo236bobobbobboo12bo61b
oobob3obboobooboo4boo18bo6b3o23bo31boo$810bo409boo64b5o4bobbo91bo6boo
10boo237boo4bo80bo5bobbobbobobobbo13boobboboo4boo9boo5bo6boo27b3ob3o$
1176bo6boo95boo4bo6boo94b5o4bobbo8boo237b3o4boo72bo6bo4bo3b3obbobo15bo
7boob7o3boo5boo6bobo26booboboo$1175b5o4bobbo92bobo11bo88boo4bo6boo13bo
bo238boo4bo15boo55bo5bo5bobboobbo19boobooboo3bo6boboo5bobo9bo$1169boo
4bo6boo96bo5boboo6bobo84bobo11bo15b3obo240boo13boo57boo7boobobbob7ob3o
5boo3boobb3o11bobbo17bo$1169bobo11bo72boo23boo4bo4bobo88bo5boboo6bobo
8boobo4bo229bo5boobboboo6boo4bobo56bob3obboob3o5boo4boobo4bobobbo7bo4b
o3b3obobo6bo6bobbo$1169bo5boboo6bobo67b3o23bobbo6b3o90boo4bo4bobo17bo
223boo6boo3boobboboo7boo5boobo50bo6b3obb4o16bo4bo12bo6bo4boobbobb7obbo
$1170boo4bo4bobo71boobboo20bo6booboo91bobbo6b3o16boobobbo219bobo5bobo
bbobobb3o9bo5bobo49boo4b5o3bo13boo4bo9bo15bo4b3obboo4bobbobbo$1170bobb
o6b3o72boobb3o21bobobobbo93bo6booboo21boo220bo11bobbo16boobbobo49bobo
3bobobbo21boo11bo13bo8bob3o3bo$1170bo6booboo74booboo125bobobobbo249b3o
5bo3boo14b4obbo54boboo14b3o5b3o5b4o4b3o20b4o5bo$1172bobobobbo79bo25bo
4bo350boob4o11bo13boobboo51b3o10b3o4bo10boobboob3o10boo14boo7bo$1255bo
bbo27b4o98bo4bo247b3o4bo3bo13boo6bo4bo49bo4b3obo4bo8bo7b3o3bobboo10bo$
1174bo4bo209b4o244b3o5boobo5bo10boo3b3oboo3bo49booboo3b3o4bo4bobo7bo3b
oo4boo9bobo$1175b4o3boo71boo380bobbo4b3o7boo10bob4obbobo53bo14bobbo7bo
b4oboo3b5o5booboo$1181boo62bo385b3o4boboobooboo6boo19bo56boo11b3ob3o3b
oobobbobobbobboo7bo4bo$1183bo60b3o380boobbo9booboboo7bo13bo3bobbobo51b
oob3o22bo4boob4o13boo$1185boo56b5o4boo372boo4bo8boo5bo6boboo5boo3bo3bo
4bo48boo4bo7booboo5bobooboo10boo7bo6bobo$1184bo57bo5bo378bobo4boob3o3b
o3bo5bo10boo8bo52bo4bo3boobboo9bo6bo4bobo12bo4bo3bo$1241boo5boo377b3o
5booboobo3bobbo6boo70boboobo9bo5boo14bo18bo3boo$1183bobbo55bo4bo379boo
10bo5boo86bobbo7bo37boo3bo$1175boo5boo59bobbo382bobo5boboo4bo82bo3b5ob
o5bobo36bo5boo$1174boo5bo61bobbo385bobo4boobbobbo16b3o61boboob3obbo51b
obo$1176bo4bobo60boo385boo4b3obbo3bo15bo3boo28b3o32bobo3boo7bobo40bo$
1178boobbo63bo3boo378boboboobobo3bo19bobboo28bobb3o20bo4bo24bo17b3o17b
o$1178boo66b3ob3o156bo224bobbo7boo10bo6boo31bobo21boo9bo4bo9boboboo3bo
13bo7bo6bo$1182bo64booboo155boo220boo13b3o9bobo43bo18bobo4b3o8bo13boob
obo5b3o6bo11bob4obbo$1181bobo57boo5b3o157boo218b3obbo6boobb3o9bobo41bo
24bo6bo4b3o7booboobboboobo4bo6bobbo3bo6boboo3bobo$1182bobo56boo6bo381b
oobo5bobo6boo6bo44bobo19bobbo9boo8boo5bob3o6bo6boboo9boboo4bo$1149boo
33bo443bo3boboobobo6boboo45boobo6bo18bo14bo7boo7boo9boo3boboo$1149bobo
31b3o160b3o280bo7bo10bo45boo3bobbobbo22boobboo5b3o13bo12bo3bobo67b3o$
1149bo32boobboo49boobo389boo7bo5bobboo38b3o4bobbobbo3bo18bobboo3bobo4b
4o9b4o16boboo66bo$1129boobo19bo15b3o12bo53bo3bo388bo4b4o5bo4bo38bo6bo
bbobbo3bo17boo4bobbo6bobboboo6bo9b3o3boo6bo16bo49bo$1129bo3bo13bo4boo
14bo11b3o54bo4bo385b3o3booboo5bobb4o40bo3bo6bobo18boboo11bobobo10bo8bo
bboobbob3obo16bobo50boo$1129bo4bo4b3o4boo4boo7boobbo3bo5boo3bobo56boo
387bo8boo5bobo3bo37bobbo8boo24boo9boo24bobbobboobo18bobbo51bo$1131boo
5bo4boo5b3o6boboo3bo4bo3b3obbo60bobo43bo340bobo7boboo8boo12bo24bobbo6b
3o23bo10boo27boobooboobo17boo$1133bobobboobobooboob3o5boobobo3bo3b3obb
obbo108bobo334boo4bo5boobboo7boo12bobo7booboo12bo5bo3bo21b6o7boo34bobb
o68boo$1128boo8bobb4o7bo4b3obbobo4bobo4boo3bo8b3o6boo35bo6boo42boo334b
oo5bobo3bobboo9bo12bobboboobbo5bobboo9boboboobo20boobobo11bo32boobbo
68boo$1127boo6b3obb3o7boo4bo3b3obooboobbo4bobo11bo7boo35b5o4bobbo377bo
4b3obbobbobo9b3o10bobobboo3booboobbobbo10boo23bo4bo13boboo100bobo$
1129bo5bobbobo14boo3boob3obooboo3bo4bo11bo7bo28boo4bo6boo321bo61boo6b
oo3bo3b3obbo3bo14bobo10bobo14bo19bo4bobboo9boobobo76boo17booboo$1131b
oo3b3obboobboo8booboo9boo3boo3bobo6bo13bo26bobo11bo320boo61boo7bobo5bo
3bo20bo12bo35bobbo13b4obo3bo73boo17booboobo$1083b3o45boo3b3obboobboo3b
3o16bo5boboobobooboboobo10bobo25bo5boboo6bobo316bobo69bo3bo4bo22bo26bo
bbo18bo4bo11boo6bobbo73bobo11boo3boboo$1083bo9boo37boobbobo3boo3b4ob3o
bboo3b3o5bo6boo3bobo3boo4boo4boo28boo4bo4bobo391boobobo7booboo16bo15b
oo26boobboobo13bobo5bo76b3o11bobobbobbo$1084bo6b3obo30boo3bobob3o11bob
o7bo7b5oboo7bobo8boo5boo28bobbo6b3o324boo63b3oboo11bo33bo4bo3b3o13boo
bboo3bobo21boobbo73boo12bo7bo$1086boobboo29bo3boo3bo7bo3bo5b3o5b7ob4ob
o5bo3bo3boobobb3o3bo4b3o27bo6booboo15bo306bobboo62bo4bobbobo6boo32bo6b
obbobbo11boo5bob3o17bo3boo79bobo3bo10bobbo13boo$1087bo32boo4bobobbo5bo
3bo3boo6bob3o4bo6bo15boobo11b3o29bobobobbo16b5o302boo65boobobobbobo8b
oo38bobbo3bo12bo4boobobbo14boobbo87bo7b4obo13boo3bo$1091bo28bobobb4obo
9boo6bobbo4b3o7bobo6b3o9bo3bo4boobboo54bobboo302boboo62bo3bo3boo11bo
30bobbobobbo6bo14boobbobobbo19bobo47bo32bobobo7boo19boboo$1087boo3bo6b
o9bo14b4obboo3bo4bo7bobbo38bo4boo37bo4bo18boobo304boo61bobo6bobobb3o4b
3o29boo3boo3bo3bo14boo76b5o11bo7bo4boo5b3ob3obo24b3o$1086boboboo5boo3b
o5boo13bobbo9bo51bo6b3o37b4o218bo107bo66bobobo3bobbo5bo42bobbo44bobbo
45bobboo10bobo5bobo3boo5b3o5bobbo21bo$1085bobbobbobooboo3b4o3bobo12bob
obbo7bo3bo5bo13boo27b4o3boo63bobo192b3o103b6o60booboo4boo5bo4bo42b3o
45b3o48boobo9bobbo3bo14boo8bo23b3o$1086bo3boo4bo5bob5o13bo3boboobb3o5b
o4boo5boo5boo28boboboo261boboo100boobobo62boo3bo3boo7boo88b3obboobo60b
oo46boobo4boo$1086boo8bobobo3bobo19bo5b4obo7bobo3boo8bo28bo63b3o6b3o
191b3o99bo4bo64booboobbobobo6bo32boo53bobbo6boo47bobo18boo36boboo3bobo
$1086boo7boobobbobbooboo3boo10bo4boobbobobooboo11bo9bo85bo4bobb3o4b3o
190b3o98bo4bobboo61boo5bobobo6bo32boo52bo9boo65b3oboo30boo4boboo3b3o$
1089bobo3b3obobobo4boobobbo4b3obbo6boo6boboobb3o15boo83boo5boob5ob3o
32b3o155boo87boo10bobbo67boobo5bo57bo37bo52b3o6b3o11b3obbo30boo6bo5b3o
$1091b3o9bo4boo6bobbo5b7o9booboboo6booboo3b3o83bobo3b3o4booboo33bo245b
oo10bo4bo69bo5b3o54bobo22bo6bo6boo9bo36bo4bobb3o4b3o10bo36bobo4boo4bob
o$1082boo4bo3b3o15b5obo3bo20bobbo4bobooboo4boo98bobo29b3o6bo245bo5boo
bboobo66bo4bo5bo55bobbo21boo5boo15b3o35boo5boob5ob3o14boo31b3o4boobboo
$1081boo4boo3b3o21boo4bo18boo3bo4boobbobbobo89b3o6bobbo29bo6bobo247boo
boo3bobo66boo3boo5boo55boo16bo5bobo4bobobb4o7boobbo34bobo3b3o4booboo
10bo37boo6bobo$1083bobboobo15boo8b3o3boo5boo18bobboo7boo87b3o7bo33bo4b
oob4o243bo5bob3o67bobo3b5o75boo16b5o9bo48bobo13bo18bo20bobo3boo3bo$
1085bobobboo6boo5bobo8boobb3o8bo19boo98bobob4obbo33b4ob5oboo246boobobb
o15boo52boo3boo75bobo3boobobo5bo3bo49b3o6bobbo33boo24b4o$1084boobo3boo
5bobo3bobbo8boboobbo7b3o120booboo38boo7boobo220boo7b3obbobo3bobbobbobo
bbo14boo52bo6bo79bo7boo4bo51b3o7bo37boo19bobo$1084bo9bo3bo5boo8bo3boob
oo9bo120b6o4bo264boo8bo3bo4bo3boo24bo58boo43boobo30bo4bo5boo56bobob4o
bbo25bo11bo20b4o$1084bobboo12bobbo7b3o4bobobo138b5o247b3o13bobboo5bobb
o3bo3bobo25bo49bo4b3obbo41bo3bo29bobbobb6o59booboo29boo5b5o21b4o$1090b
ooboo5bo5bo4bobbo5bobo4bo134bobboo35bobbo208bo9bo7bobobbobbobbo3bo30bo
bo34b3o11bobbobbo45bo4bo99b6o38bo23boo$1085bobo12bo3bobbobboob4obobboo
4bo136boobo20b3o10b5obo207bo6bobbo6bobbobo6bo32boo36bo13bobbo4bobobo
41boo$1085boobbo6bo3b9o4boobboo3bo4bo173bo6bo208boobboo3bo4boobobobboo
boobbobobb3o23boo37bo12bobo9bo43bobo33boobboo$1081b3obboboo5b4o8bo4boo
3bo3bo9boo134bobo32boboo3bo208bo7booboo3bob3obb4o6bo25b3o38boo10bo3b3o
84bob4o$1081bobbo5bobobbo10bo5boo4boo10bobbo176bo211bo6bobobo3bo4boo8b
o9boo9b3oboo40bo11boo3b3o48boo32bo4bobo$1088bobboo4bobo30bobo12b3o112b
3o6b3o35bobo208boo3bo3b5obo3bo4bo14bo3boo3bo5bobbo52b6obb3o49bobbo37bo
$1082bo3bo3bo8bo31bo13bobbo106bo4bobb3o4b3o244boboboo4b3o3bo5boboo13b
oo3boboboo4bo44boo3bo5boobbobbobbo90b3o$1082bo3bo4boo7bo43bobo107boo5b
oob5ob3o35bobbo205bobobboboob3o4bo4bo3booboboo5booboboo9bo36b3o5boobbo
bo4bo6boboo49boobbo$1082bo4bo4bo8bo41boo4bo104bobo3b3o4booboo36bobbo
204bo4boo7bobboo7bobo3boo4boo3b3o9boo35bo6bobo3bobb3o3bo56bo40bo86boo$
1083bob4o3boo7b3o21boo16boobb3o116bobo40boboobo201boo16bo12boob4o12bo
42bo4boo6b3o4bo6boobo175bobo$1076boo5bob4o3boo12boo17bobo16boboobbo
105b3o6bobbo40boobbobo200boo9boo10bo11boobo4b3o3boboboo40b4obo19boo50b
3o37boobo83bo$1075boo6b3o6bo9bobboobb4o6boo4bo18bobboo106b3o7bo44bo5bo
4bo200boobb4o8boo11boo6bo4boo4boo40boo10bo11b3obo87boob4o83bo$1077bo
24boboob3ob3o5bobo4bobo15bobboo108bobob4obbo42bo9boo200bobobobo9bobo
11b3o5bob3obbobboo5bo46bobo10bobbo43bo4boo38bobb4o32boobo46boo$1079boo
bb3o5boo8boobo3b3o8bo6b3o14boobbo111booboo51bo4bobo202boboo3boo35bo6b
oo56boobbobboo40boo45boo36bo3bo45boo$1079boobboo16bobbo17bo22b3o111b6o
48bo207b3obboo4bobo3bobboo10bo7bo9bobobbobo55boo4boobboo37bobobboo78bo
4bo43boo$1082b3o8bo8bo19boobobbo16bo51boo323bo4bo4bo3bobo14bo8bobo7boo
boo55boboobb3obbo43b3o80boo41booboo$1082bobob3o4boobboo8boobo14b4o68bo
bo83boo239boo9boo5bobo27bo4bo53b3o4boo4bo41bobbo43boo37bobo38bo4bo$
1078boo4bobo5b3ob3o8bobbo6boo8bobbo9bo56bo86boo236b5o9bo9bob3o80bobo9b
obo35boo48bo3bo77bob4o4boo$1077boo4bo3bo5boobo10bobo7bobbo5bob3o9bo59b
o82bo238bobo15bo3bo3b3o92bo37bobobboo43bo3bo31bo6boo41boo3boobo$1078bo
bo16bo19bo3b4ob3o17bo12boo39boo321bobbo7b3o3bo5bo89b3o42bobboboo43boob
oo30b5o4bobbo38boo4bo$1078b3obo8bobbo24bo6bo18bobo11boo39boo77boo244b
oo4boo3bo11bo87bo6bobo39boo35boo36boo4bo6boo42boo4bobo$1078boo10b5o25b
5o3b3o14bobbo4b3o43boo78bobboo125bo113booboo3bobboboboo6bobo88bobb3o
37bo3b3o35boo36bobo11bo44bobboobo$1075boobo11bobo28boobobo19boo50boo
80bobbo123boo117boo3bobo11boo5boo85bobbo29boo5boo3boo74bo5boboo6bobo
39boo$1074bo5bo10boo32bo27boo41boobbo79b3o125boo112bobobo11bo8bo4bobo
87bo28boo5bo82boo4bo4bobo43bo4bo3bo$1073bo3b4o11bob3o56boo19bo18bobb3o
72bo249b3obbo11bo8b3obbo78b3o39bo4bobo80bobbo6b3o31boobo10bo4bo4boo$
1072bobb3oboo14boo56boo18boo17boo76b5o246bo4bobbo6bo14boo78bo9bo33boo
bbo81bo6booboo32bo3bo15bobo3boo$1072bobbo13boo6bo53bo5bo15bobo16bobo
75bobboo254bo6bobo7b5o81bobb6o34boo17boobo65bobobobbo34bo4bo15bo5b3o$
1068bo5boo12boo8boo51bo5bo29b3o3bo78boobo250boo7bobbo9b3o83bo59bo3bo
108boo20b3o17boo$1063bo3b6obo14boo7bo52bo5bo17b3o9bo6bobbo328boo3bo4b
oobo7bobo85boo57bo4bo65bo4bo38bobo19bo17boo$1062boo3bobboobboo13b3o3bo
78b3o11bo4bo16bo64bobo248bo4bobboo12bo147boo68b4o62bo3bo$1062bobo4boo
bb3o13bo4boobo55b3o20bobo11boboo3bo11b5o313booboobobo162bobo103bo6boo
18bo$1066bo23boo3boo81b6o5b5o15bobboo54b3o6b3o7bo241boobooboo266b5o4bo
bbo16bobbo$1065bo4bo73boo32b7obobo22boobo48bo4bobb3o4b3o6bobo242boobo
17boo138bo6boo59bo35boo4bo6boo21bo$1065bo3bo26bo46boo3bo14bo20boo3bobo
70boo5boob5ob3o6boo245boboobo13bobo136b5o4bobbo11bo43b3o34bobo11bo33b
3o$1094boo49boboo13bobo23bobo23bobo45bobo3b3o4booboo254boobobbo6boo4bo
132boo4bo6boo14bobbo40booboo33bo5boboo6bobo36bo$1091boo4boo48b3o11bobb
o109bobo242bo6b3o3bobbo3bo7bobo4bobo129bobo11bo15boo41b3o36boo4bo4bobo
32bo6bobo$1090bo4b5o47bo14boo43b3o6b3o45b3o6bobbo241boo6bo4b3obboo9bo
6b3o129bo5boboo6bobo54boo37bobbo6b3o28boo7boo4bo$1089bo3bo3boobbo47b3o
50bo4bobb3o4b3o43b3o7bo244bobo6bo3bo5bo12bo136boo4bo4bobo59boo36bo6boo
boo28bobo4boo4bobbo$1088bobbo6bobbo40boobo4boo49boo5boob5ob3o45bobob4o
bbo247bo7boo4boo11boobobbo130bobbo6b3o58bobboo37bobobobbo30boo7boboo$
1088bo53boboo3bobo49bobo3b3o4booboo48booboo249boboo6b8o14b4o130bo6boob
oo58bo5bobboo80bo$1081boo7bo7bo37boo4boboo3b3o61bobo51b6o247boo3b3o4b
5o8boo8bobbo130bobobobbo23bobo35bob3obbobbo33bo4bo$1080boo6bobo6b5o33b
oo6bo5b3o51b3o6bobbo301boo6boobbo15bobbo5bob3o161boo37b3o4bo36b4o$
1082bobboo10bobo36bobo4boo4bobo50b3o7bo303boo5bo11boo8bo3b4ob3o134bo4b
o23boo39bo$1084boobboo46b3o4boobboo34boo19bobob4obbo296boo5bobobobbo4b
o3bobbo9bo6bo137b4o61bo4bo$1084boo50boo6bobo36b3obo18booboo188bo106boo
bboo8booboboo6boob3o9b5o3b3o197bo$1138bobo3boo3bo34b5o17b6o186b3o105bo
bo3bo5bo4bobbo4bobb5o10boobobo201bo6bo$1144b4o37booboo208boboo104bo10b
o3bo3boo4bobooboo15bo207b3o$1140bobo41bobboo210b3o105boo4b3obo3bobboo
232bo5bo$1142b4o37bo4bo210b3o105bobbo4boobbo4bobboo17boo210bobb3o$
1142b4o37boo3bo210boo106bo7boobo26bobbo202boo3boo$1143boo38boo324bobob
oo3bo3b3o21boo203boo4bo3bo3bo$1185bo21bobo300boob3oboo3b4o50boo179bo7b
o$1207bobbo303bobo5bobo50boo3bo176bo4booboo35bo$1203boobo3bo298boo5bob
o5bobbo17bo31boboo181boobo35b4o$1203boobbobbo301boobboo6bo18bobboo31b
3o181boo34bo4boo$1207b3o297boo6b6o3bo3bo14bo3bo31bo219boobobobo66bo$
1169b3o335boobobb3o3bobobbo18boboobo32b3o215b4oboboo31b3o30b3o3boo$
1169bo338b4obboboo3bo5boboo17bo25boobo4boo211bobo5boo3bo30bobb3o22boo
bbooboob3o5boo$1170bo338boo8bo5b3o19boo25boboo3bobo211boo8b3o32bobo22b
oobo3boob3o7bobo$1172boo36bo299bo6boo8bo19bo20boo4boboo3b3o220bobo38bo
26b3oboo7bo$1173bo35bobo302boo8boobbo26b3o9boo6bo5b3o170boobo85bo20bo
8booboo$1190boo17bobo296bobo3bobo6b6o39bobo4boo4bobo170bo3bo86bobo26b
4o29boo$1170bo19boo18bo296boo5boboo5bo5bo23bo5bo8b3o4boobboo173bo4bo
78boobo6bo16booboo3bob5o27bobo$1167b4obo334bobo9boo6bobo23bo5bo8boo6bo
bo177boo79boo3bobbobbo24boo3bobo26bo$1167bo4bo5bo324boo4bo5boo3bo7boo
23bo5bo10bobo3boo3bo176bobo70b3o4bobbobbo3bo25bo7bo27bo$1168bo4boobboo
324bobo3boo4boo59b4o251bo6bobbobbo3bo29bo3bo27boo3bo$1170bobb3obobo
323bo6boo5b3o10bo24b3o14bobo178bo6boo72bo3bo6bobo29bobbo29boobbobo$
1174booboo15bo311bo7boobobo4boobbooboo41b4o174b5o4bobbo66bobbo8boo32b
3o31boboobbo$1171booboobboo12boo312boo7boboo4boo3b5o15boo24b4o168boo4b
o6boo71bobbo6b3o66boobob3o$1172boboo17boo320bobo7bobboboo16boo25boo
169bobo11bo72bo5bo3bo67bobo3boo$1172bobobbobo334boob3o7booboo32bo181bo
5boboo6bobo70boboboobo68bo5bo$1173boo4boo330boo5boo8bo34bobo181boo4bo
4bobo76boo58b3o17boo$1181booboobo323boo3bob3o7bo33bobbo181bobbo6b3o81b
o55bo12boo$1181bobboobo182bo139bobobobo11boo33boo182bo6booboo15bo123bo
10boboo$1180boo6bo180b3o137boobboo15bo218bobobobbo16b5o60bobbo58b3o5bo
4bo$1185boobo180boboo135b3obb3oboo4boo248bobboo123b6oboo3bo$1188bo181b
3o135bo5boob3obboo4booboo218bo4bo18boobo125bo4bo$1185bobbo181b3o134boo
boo5bo6bobbo224b4o147bobo4boo$1188bo181boo136bobo267bobo121b3o$1186boo
321bobooboob3o5boobbo371bo$1509bobb4ob3o7bo243b3o6b3o119bobo$1509boboo
253bo4bobb3o4b3o119b5o$1509bobobo4boo245boo5boob5ob3o11bobo18b3o85boob
o$1511bo5boo79b3o164bobo3b3o4booboo12bobbo17bo$1505b3obboo6bo58boobo
17bo178bobo10boobbobbo11b3o6bo$1505bo74b3o8b3o6bo166b3o6bobbo9bobbobo
3bo10bo6bobo$1506bo5b5o60boobobbo7bo6bobo165b3o7bo13boobbo3boo10bo4boo
b4o$1508b6o68boo8bo4boob4o164bobob4obbo16booboo12b4ob5oboo$1509b4o48bo
32b4ob5oboo163booboo20bo17boo7boobo$1287bo221boobb5o42b5o30boo7boobo
162b6o4bo15boo109boo$1219boo66bobo205boo12b3o4b3o41bobboo13bobo198b5o
11b3o109boo$1219boo66boo205boo13boo7b3o41boobo8bobboobbo197bobboo35bo
bbo65b3o16boo$1496bo11bo7bo3bo51bo3bobo3bo18bobbo176boobo33b5obo63bo$
1498boo9bo3boo50bobo4bo9bo17b5obo211bo6bo63bo21bo$1497bo12bobboobbo55b
o9bo16bo6bo176bobo32boboo3bo64boo14b3o$1507b4oboobboo49b3o5boo5bo18bob
oo3bo218bo64bo3boo9boobo3boo$1496bobbo7bo5bobo52b3o5boo3bo27bo167b3o6b
3o7bo27bobo68boo12bo4bo$1212boo274boo5boobbobo4bobbo3bo51b6o7bo27bobo
163bo4bobb3o4b3obbo3bo101boo$1211bobbo5boo265boo5bo5bobobboboo5boboo
63boo188boo5boob5ob3o3bobbo28bobbo63b6o$1211bobo5bobbo266bo4bobo4b3ob
4o10bo48bo12boo7boo15bobbo160bobo3b3o4booboo4booboo27bobbo63bobboobo$
1203b3o5b3o5bobboo267boobbo9boo8bo3bo48bo21boo15bobbo172bobo8bobo29bob
oobo47boo13bo4bo9bo4bo$1212boo4bobboo268boo10b3o9boo51bo39boboobo82bo
76b3o6bobbo9bo30boobbobo46bobo10bo6bo7boobo3boo$1210bobbo4b4o119bo162b
oo10bobobo87boobbobo33bo47bo75b3o7bo44bo5bo4bo40bo11bo15b3o$1194boobo
12bobo127b3o171bobo3bo41b3o3boo39bo5bo31b5o44bo77bobob4obbo42bo9boo43b
o7boo3bo15bo204boo$1194bo3bo12bo128boboo169boo5bobboo37bo46bo37bobboo
124booboo51bo4bobo42boobboobobb3o220boo$1194bo4bo39b3o99b3o169bobbobbo
3boo38bobboo46bo34boobo123b6o48bo55bo5bo14boo208bo$1196boo41bo101b3o
166b3o4boo4bo42booboo41bo224bobo46bobo3bo14boo210boo$1198bobo39bo100b
oo167bo13bo36bo4bo85bobo182boo45boboo3bo15boo209bo$1511bo10boo36b4oboo
23boo212bo31b4o43booboo227boo$1193bo6boo314boo4b3o35bo30boo52b3o6b3o
147bobo28boo46bobbo227boo$1192b5o4bobbo310boo6boo36boo3bo23bo49bo4bobb
3o4b3o146boo28b3o3boo43bobo227bobobbo$1186boo4bo6boo316bobbo39b6o73boo
5boob5ob3o181b3o43bobboo225b3obo$1186bobo11bo318b3o29boo6boo68bo9bobo
3b3o4booboo183boo273boo$1186bo5boboo6bobo314boo30bobo3boobbo21boo44bo
21bobo185b3o270boobo$1187boo4bo4bobo310boo5boo31bo5b3o23bobbo42bo11b3o
6bobbo31bo141b3o3boo3b3o270bo5bo$1187bobbo6b3o310boo6boo34bo27bobb3o
52b3o7bo33b5o99bo43bobo275bo3b4o$1187bo6booboo313bobbooboo34boo18bo7b
oo58bobob4obbo31bobboo98b5o40bobo263bo10bobb3oboo$1189bobobobbo317boo
57b5o7b3o56booboo37boobo97bobboo40boo263boo10bobbo$1514boo57bobboo4bo
5bo41bob3o9b6o139boobo40bobbo260bobo5bo5boo$1191bo4bo378boobo4boobboo
40bobboboo53bobo142boo268b6obo$1192b4o389bobbo40bo4boo156bobo40bo92b3o
169boobbobboobboo145boo$1257bo10boo308bobo4b3o37b3obbobbo48b3o6b3o406b
oo4boobb3o15bo129bobo$1256b5o6boo355bo4bo3bo43bo4bobb3o4b3o90b3o6b3o
284bo8boo35boo129bo$1256bobboo8bo7boo292b3o6b3o41bo3b5o43boo5boob5ob3o
85bo4bobb3o4b3o282boo8bobb3o6boo3bo19bobo131bo$1258boobo5boo6b3obo286b
o4bobb3o4b3o40bo3bo47bobo3b3o4booboo85boo5boob5ob3o268boo12bobo7bo5b3o
b3obbo155boo$1267boo3boboo289boo5boob5ob3o39boo5boo56bobo88bobo3b3o4b
ooboo269bobo15b3o4bo6bob5o25boo129boo$1261bobo6boo293bobo3b3o4booboo
41bo6bo46b3o6bobbo100bobo272bo7bo8boo3boo6b3obo28b3o128boo$1266b3obo4b
o301bobo46bo3bo46b3o7bo93b3o6bobbo275bo3bob3o4bo6boobbooboo5boo24bo
121boo6boo$1250b4o9b3o3bo4bo292b3o6bobbo39boo6boo50bobob4obbo90b3o7bo
278boobo3boo3b4obobo6b3o5bobo145bobo3boobbo$1250bo3bo9bo7bo293b3o7bo
42boo60booboo96bobob4obbo279b3o5boo4bo3bobo3boo5bo10bo10boobobo120bo5b
3o$1250bo4bobo6bo6bo296bobob4obbo102b6o97booboo289bo3bo6boo22b5o6bo5bo
123bo$1251bo4b3o53bo257booboo209b6o279bo3bobo7bo3bo3bobo14boo3boboobo
4bo3boo125boo$1242bo8bo8bo6bo43b3o256b6o100bo391boobob3obboo3boobbo4bo
bo5bo6boobo5bobo3bobbo132bo$1241boo9bobobo4bo49boboo263boo85b3o8boo
390bo3bo6b3obbo6boob5obo3bo3b4o10bo134bobo$1241bobo8bo8bo50b3o263bobo
83bobbo3boobooboo388boo5bo4b3o5bo8boo4b4obbo15bo133bobo$1257booboo50b
3o263bo85bo3b3obb3obo389bo6bo5boo3bobo15b3oboobbo5bo3bo104bo33bo$1243b
3o5b3o4boo52boo267bo82boob3obobb3o391bo8boo11boo19boo3b3obbobo101boo
32booboo$1242b3o336boo86bobo402b5o10boo13boo5boo5bobobbo101bobo31bo$
1244bobo334boo83boob3o401boo3bo11bobo10boobo6bo3bo4b3o3boo76bo38boo12b
o3bo$1246b3o331boo90boo399bobboo5b3o4bo12boo9boo6b4oboo76b5o18boo14boo
11boo$1246b3o322boo6boo88boo401bo5bo4bo8boo20bo8bo4boo75bobboo6bobo3b
3o3boo8boo6bo9boo$1249bo321bobo3boobbo494bo7bobb3o4bo33bo78boobo4boobb
obbo12boob5o5bob4obbo3bo$1246bobbo321bo5b3o494bobboo7bobbo5boo3boo22b
oobbo84boboo3b3ob4o6bo5b3o4bo6bobobbo$1245bo3bo324bo498b3o13bo6bob3obo
101boo4bobo4bobbo6bo5boobobo6bobo5bob3o9boo6boo$1241booboo3bo324boo
498bo3boo9bo6bo107bobo4b3o3boo7boo4bo4boobob5o4boobboo9boo7bobo$1240b
oo7bo328bo495b4o6b3oboo9b3o102bo11bo15boboo3boo5bo9bo10boo6bo$1242bob
oobbo328bobo495bobo4boobo3bo8boo107bo3boboobboo3bo9bo4bo8bo3bo3bobboo
5b3o11bo$1248bo38bo290bobo494boo5bo4bobobo5boo61boo45boo4bo4bobboo4boo
bbobbo11boobboobbo9b3o10bobo$1245bobo39bobo256bo33bo494bobo5boo3b3o6bo
bo3b3o53boo9bo37bo12bo3boob6o3bobboo4b5o3b3obob3o7boo5bobo$1246bo32bo
7boo256boo32booboo489b3ob3o9bo9boobbo57bo6boobo30boo3bobbob3o3boob3obo
6bobbobboo9bobbobb4ob4o6bobo4bo$1245bo32b3o264bobo31bo54bo437boo4boo
18b3o4bo57boobboobbo30bobobboo3bo8b4obbobobobb3ob8o9boo5boboboobbo6bo$
1244bobo279bo38boo12bo3bo49b5o436bo5bo7bo9bobobboo58b4obbo26b3o3bo4b7o
4bobo5bo6bo9bobo4bobo7bo5boo5bo3bo$1244bobo32b3o243b5o18boo14boo11boo
54bobboo11b3o426bobo6boo9boo65b3o28bo6boo5boo4boo6b5oboobboboobboobo
18booboo5bo4bo$1243bo35bobboo241bobboo6bobo3b3o3boo8boo6bo9boo57boobo
8b5o425bobbo5bo3boo6boo66bo30bobboobb3obo7bo7boo7bo18boo10boo6bo3bo$
1243boo38boo242boobo4boobbobbo12boob5o5bob4obbo3bo66bobo427bobbo5bob4o
7bo62b3oboobo4b3o7b3o13boo3boo5bo4bo46bo7b3o$1243boo36boboo248boboo3b
3ob4o6bo5b3o4bo6bobobbo58bobo8bo428bobo4b5o72b3obbobobboob5o4bo14bobo
bbobbo3bobo22boo28boboobo$1284boo238boo4bobo4bobbo6bo5boobobo6bobo5bob
3o9boo6boo52bo432bo5bo73bo3bobbobbobbo4boo3bo13boo3boo9boo4b3o4boo6bob
o26bobo$1277bob3o3bo238bobo4b3o3boo7boo4bo4boobob5o4boobboo9boo7bobo
33b3o6b3obbo433b6o3bo78bo5boobo3boboo15booboo4b3o3b3o3bo7bobo5bo28bobb
obbo$1275b3obobo3bo238bo11bo15boboo3boo5bo9bo10boo6bo30bo4bobb3o4b3obb
ooboo11bo418b3o5boo13b3o55boo8bobobo12bo10bob4o3boboob3obo4bo4bo10bo$
1276boo4bo244bo3boboobboo3bo9bo4bo8bo3bo3bobboo5b3o11bo26boo5boob5ob3o
16bobo421boobboobo12bo58b3obbobboo5b3o3booboobo5boobbobb3obo14bo16b3o$
1276boo5boo195boo45boo4bo4bobboo4boobbobbo11boobboobbo9b3o10bobo25bobo
3b3o4booboo17bobo415boo4b3o4bo6b3o6bo55boobobo7bo8boboobbo3boo4boo3bob
o9b3obo6bobobo$1276boo5bo195boo9bo37bo12bo3boob6o3bobboo4b5o3b3obob3o
7boo5bobo37bobo20bobo407boo6bobobbo3bo10bo6bobbo49boo4bo4bo4bo12boob3o
4bo19boob3obbobbobb4obboo$1277boo3b4o195bo6boobo30boo3bobbob3o3boob3ob
o6bobbobboo9bobbobb4ob4o6bobo4bo29b3o6bobbo429boo7bo3booboobobo8bo6bob
oo48bobo3bo4boboo19bo12bo11bo4b6o6b3o$1277bo5bobbo196boobboobbo30bobo
bboo3bo8b4obbobobobb3ob8o9boo5boboboobbo6bo28b3o7bo434bo3bo5b5ob3o11b
oo3boboo48bo4bo4bo13bo9bo5boo5bo18bobbo3bo4bo$1278booboobboo196b4obbo
26b3o3bo4b7o4bobo5bo6bo9bobo4bobo7bo5boo5bo3bo30bobob4obbo13b3o418boo
11bo15bo3bobo52boboboo8bo5boo7bobbobboo3bo3bo21bo3bo4bo$1281boo202b3o
28bo6boo5boo4boo6b5oboobboboobboobo18booboo5bo4bo32booboo17bobb3o414bo
4boo27boboo51b3o3bo6boo5bobo9bobbo31bo$1486bo30bobboobb3obo7bo7boo7bo
18boo10boo6bo3bo33b6o17bobo148bo264boboobo4bo6bo9b3o3boo6bo49bo4b3oboo
3bobo4boo8bo3boboo3bo10b3o$1273boo207b3oboobo4b3o7b3o13boo3boo5bo4bo
46bo7b3o63bo145bobo261b6oboobbo6bo9bobboobbob3obo50b11o10bo7boo4bo3bo
bbob3o5bo$1273bobo206b3obbobobboob5o4bo14bobobbobbo3bobo22boo28boboobo
64bo147boo257bo4bobboo6bo6bo10bobbobboobo54boo6bo7boobobo4boobobo3bobb
obbo9bo3bo$1273bo208bo3bobbobbobbo4boo3bo13boo3boo9boo4b3o4boo6bobo26b
obo70bobo401boo6boobboo3bobbo16boobooboobo52bobbo11b6o5bobobbo4bo6bobo
9bobo$1274boo211bo5boobo3boboo15booboo4b3o3b3o3bo7bobo5bo28bobbobbo59b
oobo6bo395b3obbobo10bobobobboo9boo10bobbo53bo12bo6boobo3bo3b5o7bo6bo5b
oo$1274bobbo204boo8bobobo12bo10bob4o3boboob3obo4bo4bo10bo90boo3bobbobb
o395bo11boboo4bobo15bo8boobbo49boobboboboo3b3o9bo4boo4boboobbo11bo3bo$
1274bo208b3obbobboo5b3o3booboobo5boobbobb3obo14bo16b3o82b3o4bobbobbo3b
o34boo362bo4boobobobo5boobb4o6bo64boobob3o6bobbo6bobo4bo6bo20bobb3o$
1276bobo204boobobo7bo8boboobbo3boo4boo3bobo9b3obo6bobobo90bo6bobbobbo
3bo33boo360bobbo4b3o7boobo4bobboo71bobb3obboo3bo22bo17booboboo$1280bo
197boo4bo4bo4bo12boob3o4bo19boob3obbobbobb4obboo88bo3bo6bobo28boo5bo
361bobbo5boo6b3o7bo5bobbo64boobo4boo5bobo38b5o$1278bobbo196bobo3bo4bob
oo19bo24bo4b6o6b3o87bobbo8boo30boo5boo362bo15boo14bobboo63boobo4bo8bo
28b3o$1278bobbo196bo4bo4bo13bo9bo5boo7b3o14bobbo3bo4bo88bobbo6b3o25bob
o4bo4bobobboo359boboo3bo3bo3boo11b6o33bo30b3o14bobo26b3o$1280b3o198bob
oboo8bo5boo7bobbobboo3bo3booboo17bo3bo4bo89bo5bo3bo26boo7boo3boob4o
359bob4o4boo14bobboo33b5o27bobooboobboo32bo22boo$1276b3ob3o198b3o3bo6b
oo5bobo9bobbo8booboo18bo99boboboobo28bo7boo10bo358boboobobo5boo10bobo
bbobo31bobboo20boo9bo4boo8boobboo17boo22boo$1272b3oboobb3o197bo4b3oboo
3bobo4boo8bo3boboo3bo3bobo121boo52bo355b3ob4obo7bo11bobbobbo33boobo19b
obo4boo21boobbobo7bo4bobo$1272bo7boo198b11o10bo7boo4bo3bo3bo3bo126bo3b
3o37bo360bobo16bo10bo3bobbo55bo7bobo5bobo7bobo3boobobo5boo$1273bo6boo
199boo6bo7boobobo4boobobo3bobbo3bo3bobo128bobb3o34bo3bo356bo3boo6boob
oobo14bobb3o34bobo20bo3boo7bobo7b3o4bo4bo4bobo5boboo$1276b5o200bobbo
11b6o5bobobbo4bo5bo4boo3b3o115bobbo4bobo35booboo357bob3oboo3boo5b5o15b
o57boo11bo8bo24boo$1278boo202bo12bo6boobo3bo3b5o15b3o128bo32bo3boboo
357boob3obo8boobo9boo3b3o4bo21b3o6b3o22bo10bo7boo9bo8boobboo20b3o47bo$
1277boo199boobboboboo3b3o9bo4boo4boboobbo15bo125bo35boob4o355b3o4bo24b
oo3bo4bobo15bo4bobb3o4b3o20b3obboo4bo3bo10bobo11boobboo15bobo4bo46boo$
1277boo198boobob3o6bobbo6bobo4bo6bo17boo3boo124bobo36boobbo352b3o16boo
12boobo4bobbo14boo5boob5ob3o16boobbo3boo5bo3boo8b4o7bo4boo4boo12bobbo
50bobo$1276bobo200bobb3obboo3bo22bo17boob4o117boobo6bo36boobo357boo3bo
4boobo13bobbo6boo15bobo3b3o4booboo17bobb3o4bo4bo3bo9bo9b4obb4o4bo11bob
obboo$1275boo202boobo4boo5bobo39bo3bo115boo3bobbobbo37bo353bobo3boo3bo
3boobboobo10bobo36bobo20bob3o9boobbobo18bobb3o3b3o71boo$1275bobo201boo
bo4bo8bo29boo7bob3obb3o105b3o4bobbobbo3bo37boo351boobo5bo8boboo13bo27b
3o6bobbo21bobbo8boboo24bo9bo70boo$1274bo204b3o14bobo27boobboobboo114bo
6bobbobbo3bo37b3o359boboboo9bo37b3o7bo23bo11bobbo26b5obbo$1275boo202bo
booboobboo32bo7boobb6obbo110bo3bo6bobo38boobbo344b3o4bo5b3o10bo41bobob
4obbo19b3o11bo33bo4boo67boo$1472boo9bo4boo8boobboo17boo7boo3bo3boo109b
obbo8boo45bobo342bo5boobobboobo54booboo22boo14boo32boo26bo43bobbo$
1472bobo4boo21boobbobo7bo4bobo14b3o110bobbo6b3o32bo9bo3bobo342bo4boobo
bbobobboo3bo3b4o40b6o20boob5o11boboo55bobo41boobo$1472bo7bobo5bobo7bob
o3boobobo5boo135bo5bo3bo33bo9b6o4b3o276boo60b4obo3boo7boo3b4o65boo20bo
55bobbo18b3o16b3o$1475bo3boo7bobo7b3o4bo4bo4bobo5boboo127boboboobo34bo
11b3o5bo278bobo60boo7bobbo4bobo70boo3bo11boobbo4bo53boo19bo18bo$1475b
oo11bo8bo24boo132boo59bo277bo71bo11boo67bobobo12bo6bobo77bo11boo3bo$
1479bo10bo7boo9bo8boobboo17bo52bo65bo337bo65boo4bo8b3o35boo24b3oboobo
14bo7boo74bobbo10boo5boboo$1478b3obboo4bo3bo10bobo11boobboo16bobo50boo
106boo295boo63b3o3b3o44bobbo18b3obbobbo3bo15bo4bobo76bobbo11bo5b3o$
1474boobbo3boo5bo3boo8b4o7bo4boo4boo12bobbo50bobo61bobbo39bobo291boobb
oo61boo4bob3o7bo37bobo18bo6bo4bo15boo3b3o77bo15bob4o12b3o$1474bobb3o4b
o4bo3bo9bo9b4obb4o4bo12boo160bo291bobboo62boobbobobobo7bobo36bo20bo4b
oo4bo15boobbo82bobobboo6bobboo14bobb3o$1474bob3o9boobbobo18bobb3o3b3o
71boo396bob3o61bobobbobboo5bo52bo12b6o73boobo31boobobbo3boo19bobo$
1475bobbo8boboo24bo9bo70boo397bobbo62boboo4bo4boo4b3o44bobbo11boo28bo
47bo3bo36bobob3o23bo$1474bo11bobbo26b5obbo470bo64boobboo4bo4bobo3bobo
41boobboo41bobo46bo4bo35bobo25bo$1472b3o11bo33bo4boo67boo396b3o64b5o3b
oboo8bo44b4o40boboo50boo32bobo32bobo$1471boo14boo32boo70bobbo394boo71b
obbo9b3o45boo40b5oboobo47bobo57boobo6bo$1470boob5o11boboo99boobo394boo
b5o64b3obbobo8boo38boo6boobo36boobo4bobbo73bo31boo3bobbobbo$1469boo20b
o77b3o16b3o75b3o320boo68bo3boo4bo48b6o4bo36boo8b3o41bo6boo13bo8b3o24b
3o4bobbobbo3bo$1468boo3bo11boobbo4bo74bo18bo77bobb3o304b3o9boo3bo66boo
7bobo49bo42boo9boo41b5o4bobbo9bobo5bo28bo6bobbobbo3bo$1468bobobo12bo6b
obo77bo11boo3bo77bobo306bo11bobobo70boo3boo52bo27boo5boo6boo9bo35boo4b
o6boo13bobbo4b3obbo26bo3bo6bobo$1463b3oboobo14bo7boo74bobbo10boo5boboo
78bo304bo5b3oboobo66boo4boo3bobbo78bobo4bobo3bobbo6booboo34bobo11bo14b
oo6b3obbo22bobbo8boo$1458b3obbobbo3bo15bo4bobo76bobbo11bo5b3o76bo13boo
293boobbobbo3bo66bobobbobboob3o45boo25boo5bo6bo3bo3bo7bo38bo5boboo6bob
o20bobbo23bobbo6b3o$1458bo6bo4bo15boo3b3o59bo12boo3bo15bob4o12b3o64bob
o9boo294bo4bo4bo66bo3bobbooboo47boo9bo15bobo3boobbo6boo12bo38boo4bo4bo
bo19bo5bobo24bo5bo3bo$1459bo4boo4bo15boobbo61bobo11boo5bobobboo6bobboo
14bobb3o54boobo6bo294bo13boo4bo15b3o51b5o3bo58bo15bo11bo4bo3boo47bobbo
6b3o19boboo3boo27boboboobo$1461b6o73boobo8bobbo19boobobbo3boo19bobo55b
oo3bobbobbo11bo271b3o7boo11b5o19bo54bo84bo3boo3b3o55bo6booboo21b3o34b
oo$1462boo28bo47bo3bo8boo6b3o17bobob3o23bo46b3o4bobbobbo3bo10boo3bo
254bo12bo9bob5oboboboobo22bo60bo43boo32boo4boo4bo56bobobobbo48bo15bo$
1491bobo46bo4bo16boo17bobo25bo48bo6bobbobbo3bo13boobo252boo13bo3boo4bo
b3obb3obbo26boo36bo17bobbo42boo3bo11boboo20b7o110boobo$1488boboo50boo
17bobo12bobo32bobo47bo3bo6bobo9boo7bo251bobo14boob3o6boo32boo36boo11b
3obb3obbobo41boboo11b3o22b4o60bo4bo44booboboo10bobbo$1487b5oboobo47bob
o13bobbo40boobo6bo43bobbo8boo16bo4bo258b3obo6boboob6obobbo4bo62bobo10b
ooboo7bo43b3o11bo88b4o47bo$1486boobo4bobbo63boo40boo3bobbobbo44bobbo6b
3o16bo3bo255boobboobb3obb3obo4boo4bo5boo23bo52bobo3boo3bo43bo36b3obbo
107bobo$1485boo8b3o41bo6boo12bobo34b3o4bobbobbo3bo45bo5bo3bo18bobbo
255boobboo3b4o4bobob3o3bo6bobo20bo4bo38boo10bobobboo49b3o31booboo100b
oo$1484boo9boo41b5o4bobbo9boo35bo6bobbobbo3bo47boboboobo279boo6bo4bob
oo9bo16b3o9b3obobo38boo14bo3bo48boo33boboboo97boo7boo$1477boo6boo9bo
35boo4bo6boo14bo38bo3bo6bobo50boo283b4obo3bo3boboo3bo17boo3bobb3o5boob
oo50b3o3bobo51boo38bobbo$1477bobo3bobbo6booboo34bobo11bo25boo23bobbo8b
oo57bo279boboboobo7b3o3bob3o12bobbo6boo4boo36bo6boo3bo5bo3bobbo52boo
39b3o$1477bo3bo3bo7bo38bo5boboo6bobo7b4o9bobbo23bobbo6b3o336boo8boobbo
3bo5boobboob3o4bo3bo11boo36boo5bobbobobobboboo6b3o49boo39bo$1480boo12b
o38boo4bo4bobo14bo9bobbo24bo5bo3bo55bobbo278bobobb3o4boo3b3o8boo5b6obb
obo9boo35bobo3boobo3bobb3o8bobbo48boo126boo$1480bo3boo47bobbo6b3o24boo
boo26boboboobo337bo17boo12boobo4bo10bo3boo40bo9b3o11b3o49boo38boo84boo
$1533bo6booboo26boo30boo342boo8bobbo8boo19boo3boo3b3o39bo12bo10bo3bo
49bo38boobobo82bo$1535bobobobbo64bo345booboobbo8bobo13bo4bobbobbobbo
42bobbo10bo12boo48bo42bo3bo82boo$1953bobo13bo12b3o9b3o3bobo4boo47bo9bo
4bo42boo43boo5bo32boo47bo$1537bo4bo61bobbo344bobboobbo3boo5bobo10bobo
6b3o7boo3bobo55b3obbobbo40bobobbobo39b5o32boo3bo$1538b4o410b3o7boo4bo
35boo61bobo4boo38bo3bobo79boboo43bobbo$1952booboobo5bobbo4b3o27bob4o
54boobbobbobbobobo40boobbo80b3o39boobo$1953bo12boo12bo22boobbo54bo6bob
obboo42bobo81bo40boo4bo$1953bo3bo8boo6boboboobo80bobo9bo37boo3boo85b3o
38bobobbobb3o$1683bobo267bo3bo9bo8bobbobo86bo6bo35boobob3o50b3o25boobo
4boo43bobbo$1683boo269boobo8boo10boo87boo6bo37bobo53bobo25boboo3bobo
40bobbo3bo$1684bo269bo7b4obobbo96bobobboo95bobo19boo4boboo3b3o41bobo3b
o$1566boo387bo5boobobobo7boo93b4o35boo55bo8boo12boo6bo5b3o41bobobboo$
1565boo388bo7bo4b3o5boo5boo86boboo27b3o5boo3bobo53bo19bobo4boo4bobo42b
oobb3o$1567bo384boo3bo20bo3boo79bo38bo6bobo59bo19b3o4boobboo45bo$1569b
oo381bobobboo9bo9boo3bo78boo39bo4boo61boboo16boo6bobo34boo17boboboboo$
1568bo383bo24bo4boo78bobobb5o33b4obo47boo4b3obobo22bobo3boo3bo30boo3bo
15boo3b3o$1957b3o6boo10bo87b6o34boo17boo31boo6b3o30b4o34boboo16bo6bo$
1567bobbo386b3o6bobboo6bo87bo3boo53boo3bo65bobo41b3o19boobo$1564boobo
208b3o177bo8bob3o8bobbo84bo59boboo67b4o38bo22boo$1563boo4bo205bobbo
178bobobbobboo12bo148b3o66b4o40b3o18boo$1565bobobbobb3o202bo179boo4bo
163bo69boo34boobo4boo18boo$1570bobbo200bo3bo180b3o4boo162b3o101boboo3b
obo19bo$1567bobbo3bo203bo183boo4bo15boo137boobo4boo95boo4boboo3b3o41b
oo$1568bobo3bo200bobo190boo13boo138boboo3bobo94boo6bo5b3o41boo$1568bob
obboo383bo5boobboboo6boo4bobo130boo4boboo3b3o69boo24bobo4boo4bobo$
1569boobb3o373boo6boo3boobboboo7boo5boobo128boo6bo5b3o69boo24b3o4boobb
oo$1569bo379bobo5bobobbobobb3o9bo5bobo129bobo4boo4bobo69bobo23boo6bobo
$1575boboboboo14boo350bo11bobbo16boobbobo129b3o4boobboo68boo3boo25bobo
3boo3bo$1576boo3b3o13boo354b3o5bo3boo14b4obbo129boo6bobo108b4o$1577bo
6bo366boob4o11bo13boobboo130bobo3boo3bo101bobo44bobo$1581boobo366b3o4b
o3bo13boo6bo4bo135b4o72boo31b4o37bo6boo3bo$1582boo363b3o5boobo5bo10boo
3b3oboo3bo131bobo77boo31b4o36bobbo4boobbobo$1582boo363bobbo4b3o7b3o9bo
b4obbobo135b4o108boo36booboboobboobbo$1582boo13bo343b3o4boboobooboo27b
o137b4o147b6obo5bo$1583bo12bobo338boobbo9booboboo11boo8bo3bobbobo135b
oo70boo77b5o$1596bobbo336boo4bo8boo5bo3bo5bobbo7bo3bo4bo201boo3bobo$
1591bo4bobbo337bobo4boob3o3bo3bo4bo5bobo13bo204bobboo3bo$1590bobo6bo
337b3o5booboobo3bobbo3bo6bo220boo4bo$1589bo3bo4bo338boo10bo5boo239bo$
1589bobboboo343bobo5boboo4bo236bo$1589bobbobo347bobo4boobbobbo$1590bob
obboo344boo4b3obbo3bo49b3o184booboo$1940boboboobobo3bo52bobb3o183b3o$
1944bobbo7boo25boo23bobo$1939boo13b3o25boo28bo174boo$1938b3obbo6boobb
3o53bo176boo82bo$1941boobo5bobo6boo19bo31bobo226b3o26b5o$1747b3o188bo
3boboobobo6boboo14bo4bobo23boobo6bo254bobboo41boo$1746bobbo189bo7bo10b
o14b3obbooboo21boo3bobbobbo227bo28boobo39boo$1749bo190boo7bo5bobboo12b
obbobbo19b3o4bobbobbo3bo301bo$1745bo3bo190bo4b4o5bo4bo11boobobboo6bo
12bo6bobbobbo3bo169boo49bo3boobbo30bobo$1749bo188b3o3booboo5bobb4o11bo
bo8b3o15bo3bo6bobo169boo3bo44boo6bo95boo$1746bobo189bo8boo5bobo3bo13bo
boo5bobbo11bobbo8boo174boboo45boo31b3o6b3o34b3o20boo$1938bobo7boboo8b
oo13bo9bo13bobbo6b3o176b3o72bo4bobb3o4b3o33bobo22bo$1934boo4bo5boobboo
7boo22bobbo5bo7bo5bo3bo177bo73boo5boob5ob3o32bobbo24boo$1933boo5bobo3b
obboo9bo22bobbo5bo9boboboobo180b3o69bobo3b3o4booboo33boo25bo5bo$1626b
oo307bo4b3obbobbobo9b3o21bobo5bo11boo177boobo4boo81bobo67boobo$1626boo
309boo6boo3bo3b3obbo3bo21bo22bo174boboo3bobo71b3o6bobbo31boo5boo28bo3b
o$1591bo26boo317boo7bobo5bo3bo29b3o3b3o180boo4boboo3b3o70b3o7bo34boo4b
obbo23boobb3o$1590b5o21booboo325bo3bo4bo49bobbo167boo6bo5b3o72bobob4o
bbo32bo4bo3bo23boobo$1590bobboo21boo3bo14boo307boobobo7booboo29bo184bo
bo4boo4bobo74booboo40booboo12bo13bo3bo$1592boobo20booboo14boo305b3oboo
11bo32bo184b3o4boobboo77b6o39b3o13boo11boo5boo$1618boo3boo12bo303bo4bo
bbobo6boo32bo184boo6bobo123boo15bobo10b3o$1595bobo24bobbo314boobobobbo
bo8boo23boo193bobo3boo3bo13boobo105bobboo14bo7boboo$1604bo17bobbo313bo
3bo3boo11bo23boo199b4o15bo3bo107bo14bo3booboobobbo$1588b3o6b3o4boo17bo
bo313bobo6bobobb3o4b3o37bo180bobo20bo4bo105bo15bo3boob3o$1583bo4bobb3o
4b3o3boo9boobo5bo58bobo256bobobo3bobbo5bo39bobo181b4o19boo129boboo$
1582boo5boob5ob3o15boo65boo253booboo4boo5bo4bo38bobbo181b4o21bobo122bo
bbo4bo$1582bobo3b3o4booboo84bo253boo3bo3boo7boo41boo183boo147b3o$1594b
obo342booboobbobobo6bo245bo6boo120bobbo$1584b3o6bobbo14bobo325boo5bobo
bo6bo244b5o4bobbo118bobobo$1583b3o7bo18bo326boobo5bo247boo4bo6boo37bo
89bo$1585bobob4obbo346bo5b3o79bo165bobo11bo36boo85bo3bo$1587booboo345b
o4bo5bo80boo165bo5boboo6bobo26bo5bobo$1587b6o343boo3boo5boo73bo5bobo
165boo4bo4bobo29boo$1936bobo3b5o75boo173bobbo6b3o30bobo3boobobo$1664b
oo52b3o219boo3boo75bobo3boobobo163bo6booboo35bo7boo$1652b3o9bobo50bobb
o218bo6bo79bo7boo163bobobobbo36bo4bo5boo$1652bobb3o6bo9bo45bo225boo43b
oobo30bo4bo5boo205bobbobb6o$1653bobo16boobo40bo3bo218bo4b3obbo41bo3bo
29bobbobb6o164bo4bo3boobo21bo$1658bo4boobbo3boobbo44bo204b3o11bobbobbo
45bo4bo205b4o4bo3bo20bo84bo$1656bo6boobboboobbo43bobo205bo13bobbo4bobo
bo41boo215bo4bo19bo13boobboo64boo$1658boboobo3b5o254bo12bobo9bo43bobo
33boobboo175boo35bob4o64bobo$1667boo259boo10bo3b3o84bob4o177bobo4bobo
25bo4bobo$1659bobb6o261bo11boo3b3o48boo32bo4bobo182boo34bo64boo$1660b
7o271b6obb3o49bobbo37bo169bo6boo4bo33b3o63boobb3o$1662b3o261boo3bo5boo
bbobbobbo90b3o167b5o4bobbo105boobo$1918b3o5boobbobo4bo6boboo49boobbo6b
oo192boo4bo6boo39bo67bo4bo$1637b3o278bo6bobo3bobb3o3bo56bo10boo4bo23bo
163bobo11bo106b3o4bo$1637bo281bo4boo6b3o4bo6boobo63bobo186bo5boboo6bob
o35boobo63bo5bo$1640bo280b4obo19boo50b3o11bo3bo21boobo161boo4bo4bobo
39boob4o47boo12bobobboo$1637bobbo281boo10bo11b3obo61bo3boo20boob4o158b
obbo6b3o41bobb4o45boo$1638bobbo292bobo10bobbo43bo4boo11boboboo21bobb4o
32boobo121bo6booboo43boo8boo41bo9b3o$1639bo304boobbobboo40boo18bo3bo
22boo36bo3bo122bobobobbo17bobo35bobo42boo6booboo$1641bobo300boo4boobb
oo37bobobboo14b3o9boo50bo4bo148bo35bo44boobboobbob3o$1643boo14bo282bob
oobb3obbo43b3o15b3o8boo52boo125bo4bo15bobo85boobobboo$1644bo11boo283b
3o4boo4bo41bobbo17bo64bobo123b4o16bo88bo4boo$1643boo10bobbo282bobo9bob
o35boo234bobo84boo3bo$1642b3o10bobbooboo290bo37bobobboo33b3o43bo6boo
141boo85boo$1637boobooboo10bobobobo284b3o42bobboboo35bo42b5o4bobbo137b
o87bo$1637bo3boboo13boo286bo6bobo39boo35bo37boo4bo6boo142boo86booboo$
1637bob3obbo10bobobo287bobb3o37bo3b3o73bobo11bo143bo88bobo$1642boo12bo
boobo287bobbo29boo5boo3boo74bo5boboo6bobo$1641b3o12bo4bo290bo28boo5bo
82boo4bo4bobo$1659bo281b3o39bo4bobo80bobbo6b3o31boobo$1659boo28b3o249b
o9bo33boobbo81bo6booboo32bo3bo98boobo$1640b3o45bobbo250bobb6o34boo17b
oobo65bobobobbo34bo4bo97bo3bo$1640b3o48bo252bo59bo3bo9boo97boo99bo4bo$
1687bo3bo253boo57bo4bo8boo44b3o8bo4bo38bobo98boo14bo$1639boo50bo314boo
68b4o142bobo9boo$1639bo48bobo317bobo103bo6boo112boo$2018bo94b5o4bobbo
91bo6boo$2003bo6boo6boo87boo4bo6boo94b5o4bobbo$2002b5o4bobbobbobbo4boo
42b3o35bobo11bo88boo4bo6boo$1996boo4bo6boo7boo4bobbo41b3o35bo5boboo6bo
bo84bobo11bo$1996bobo11bo14boo42bo38boo4bo4bobo88bo5boboo6bobo$1996bo
5boboo6bobo48b3o3b3o36bobbo6b3o90boo4bo4bobo$1997boo4bo4bobo50b3o5b3o
36bo6booboo91bobbo6b3o$1997bobbo6b3o52boo46bobobobbo93bo6booboo$1997bo
6booboo14bo189bobobobbo$1999bobobobbo15boo36bo51bo4bo$2022boo37bo51b4o
98bo4bo$1670bo330bo4bo17bo41bo149b4o$1669boo331b4o3boo44boo6bobbo$
1669bobo336boo45boo7b3o$2010bo90b3o$1671b3o338boo87b3o$1670b3o338bo91b
ooboo$1672bobo424bo4boobbo$1674b3o333bobbo83boobo8bo$1674b3o325boo5boo
85bo7bo4bo$1677bo323boo5bo90boo3bo3bo$1674bobbo325bo4bobo85b3o9bo$
1673bo3bo327boobbo95b3o$1669booboo3bo327boo100bo$1668boo7bo331bo$1670b
oboobbo331bobo$1676bo332bobo$1673bobo300boo33bo$1674bo301bobo31b3o$
1673bo302bo32boobboo49boobo$1672bobo281boobo19bo15b3o12bo53bo3bo$1672b
obo281bo3bo13bo4boo14bo11b3o54bo4bo$1671bo284bo4bo4b3o4boo4boo7boobbo
3bo5boo3bobo56boo326bo$1671boo285boo5bo4boo5b3o6boboo3bo4bo3b3obbo60bo
bo323bo$1671boo287bobobboobobooboob3o5boobobo3bo3b3obbobbo388bo$1955b
oo8bobb4o7bo4b3obbobo4bobo4boo3bo8b3o6boo35bo6boo$1954boo6b3obb3o7boo
4bo3b3obooboobbo4bobo11bo7boo35b5o4bobbo$1956bo5bobbobo14boo3boob3oboo
boo3bo4bo11bo7bo28boo4bo6boo$1958boo3b3obboobboo8booboo9boo3boo3bobo6b
o13bo26bobo11bo$1910b3o45boo3b3obboobboo3b3o16bo5boboobobooboboobo10bo
bo25bo5boboo6bobo$1910bo9boo37boobbobo3boo3b4ob3obboo3b3o5bo6boo3bobo
3boo4boo4boo28boo4bo4bobo$1911bo6b3obo30boo3bobob3o11bobo7bo7b5oboo7bo
bo8boo5boo28bobbo6b3o$1913boobboo29bo3boo3bo7bo3bo5b3o5b7ob4obo5bo3bo
3boobobb3o3bo4b3o27bo6booboo15bo12bo$1914bo32boo4bobobbo5bo3bo3boo6bob
3o4bo6bo15boobo11b3o29bobobobbo16b5o8b4o$1918bo28bobobb4obo9boo6bobbo
4b3o7bobo6b3o9bo3bo4boobboo54bobboo7bobboo$1914boo3bo6bo9bo14b4obboo3b
o4bo7bobbo38bo4boo37bo4bo18boobo6bo4bo$1913boboboo5boo3bo5boo13bobbo9b
o51bo6b3o37b4o29booboboo$1912bobbobbobooboo3b4o3bobo12bobobbo7bo3bo5bo
13boo27b4o3boo63bobo8b4o$1913bo3boo4bo5bob5o13bo3boboobb3o5bo4boo5boo
5boo28boboboo77b4o$1913boo8bobobo3bobo19bo5b4obo7bobo3boo8bo28bo63b3o
6b3o5b5o$1913boo7boobobbobbooboo3boo10bo4boobbobobooboo11bo9bo85bo4bo
bb3o4b3o3boobbo$1916bobo3b3obobobo4boobobbo4b3obbo6boo6boboobb3o15boo
83boo5boob5ob3o4b3o25b3o$1918b3o9bo4boo6bobbo5b7o9booboboo6booboo3b3o
83bobo3b3o4booboo6bo26bo$1909boo4bo3b3o15b5obo3bo20bobbo4bobooboo4boo
98bobo29b3o6bo$1908boo4boo3b3o21boo4bo18boo3bo4boobbobbobo89b3o6bobbo
29bo6bobo$1910bobboobo15boo8b3o3boo5boo18bobboo7boo87b3o7bo33bo4boob4o
104bo$1912bobobboo6boo5bobo8boobb3o8bo19boo98bobob4obbo33b4ob5oboo99b
oo$1911boobo3boo5bobo3bobbo8boboobbo7b3o5boo113booboo38boo7boobo99boo$
1911bo9bo3bo5boo8bo3booboo9bo4b3o113b6o4bo$1911bobboo12bobbo7b3o4bobob
ob3o10boo122b5o$1917booboo5bo5bo4bobbo5bobo15boo122bobboo35bobbo$1912b
obo12bo3bobbobboob4obobboo4boo5b6o124boobo33b5obo$1912boobbo6bo3b9o4b
oobboo3bo5bo8b3o161bo6bo$1908b3obboboo5b4o8bo4boo3bo3bo6bo138bobo32bob
oo3bo$1908bobbo5bobobbo10bo5boo4boo190bo$1915bobboo4bobo160b3o6b3o15bo
19bobo$1909bo3bo3bo8bo46boo107bo4bobb3o4b3o14bobo$1909bo3bo4boo7bo45b
oo106boo5boob5ob3o14boo19bobbo$1909bo4bo4bo8bo152bobo3b3o4booboo36bobb
o$1910bob4o3boo7b3o21boo139bobo40boboobo$1903boo5bob4o3boo12boo17bobo
128b3o6bobbo40boobbobo$1902boo6b3o6bo9bobboobb4o6boo4bo129b3o7bo44bo5b
o4bo$1904bo24boboob3ob3o5bobo4bobo15b3obo108bobob4obbo42bo9boo$1906boo
bb3o5boo8boobo3b3o8bo6b3o18bo111booboo51bo4bobo$1906boobboo16bobbo17bo
20bo3boo110b6o48bo$1909b3o8bo8bo19boobobbo68boo117bo$1909bobob3o4boobb
oo8boobo14b4o12bob3o51bobo115b3o$1905boo4bobo5b3ob3o8bobbo6boo8bobbo
66bo106b3o4bobbo3bo$1904boo4bo3bo5boobo10bobo7bobbo5bob3o69bo110b7o$
1905bobo16bo19bo3b4ob3o71boo110bo3bo$1905b3obo8bobbo24bo6bo23bo49boo$
1905boo10b5o25b5o3b3o18bobo47boo$1902boobo11bobo28boobobo21bobbo46boo$
1901bo5bo10boo32bo23boo45boobbo$1900bo3b4o11bob3o77bo18bobb3o72bo$
1899bobb3oboo14boo76boo17boo76b5o$1899bobbo13boo6bo75bobo16bobo75bobb
oo$1895bo5boo12boo8boo87b3o3bo78boobo$1890bo3b6obo14boo7bo76b3o9bo6bo
bbo$1889boo3bobboobboo13b3o3bo78b3o11bo4bo16bo64bobo$1889bobo4boobb3o
13bo4boobo78bobo11boboo3bo11b5o$1893bo23boo3boo81b6o5b5o15bobboo54b3o
6b3o$1892bo4bo73boo32b7obobo22boobo48bo4bobb3o4b3o$1892bo3bo26bo46boo
3bo35boo3bobo70boo5boob5ob3o$1921boo49boboo39bobo23bobo45bobo3b3o4boob
oo$1918boo4boo48b3o12bo12boo97bobo$1917bo4b5o47bo13bobo43b3o6b3o45b3o
6bobbo$1916bo3bo3boobbo47b3o9bobbo8bobbo25bo4bobb3o4b3o43b3o7bo$1915bo
bbo6bobbo40boobo4boo10boo8bo28boo5boob5ob3o45bobob4obbo$1915bo53boboo
3bobo20bobbo25bobo3b3o4booboo48booboo$1908boo7bo7bo37boo4boboo3b3o14b
oo3booboo37bobo51b6o$1907boo6bobo6b5o33boo6bo5b3o14boo4boo29b3o6bobbo$
1909bobboo10bobo36bobo4boo4bobo50b3o7bo$1911boobboo46b3o4boobboo55bobo
b4obbo$1911boo50boo6bobo59booboo$1965bobo3boo3bo38boo16b6o$1971b4o40b
3o$1967bobo44bob3o$1969b4o31boo9bob3o$1969b4o31boo9b4o$1970boo44boo6$
1996b3o$1996bo216bo$1997bo214b3o$1999boo211boboo$2000bo212b3o$2213b3o$
1997bo215boo$1994b4obo114bo$1994bo4bo5bo108bobo$1995bo4boobboo108boo$
1997bobb3obobo$2001booboo$1998booboobboo$1999boboo$1999bobobbobo$2000b
oo4boo$2008booboobo$2008bobboobo$2007boo6bo$2012boobo$2015bo$2012bobbo
17boo$2015bo17boo$2013boo5$2030boo$2029boob3o$2023boo5b3obbo148bo$
2022bobo6bobbo148b3o$2022boo8boo149boboo$2184b3o$2184b3o$2184boo12$
2021boobo$2021bo3bo$2021bo4bo39b3o$2023boo41bo$2025bobo39bo$$2020bo6b
oo$2019b5o4bobbo$2013boo4bo6boo$2013bobo11bo29bo4b3o$2013bo5boboo6bobo
24bobo3bobbo$2014boo4bo4bobo28bobo4boo$2014bobbo6b3o30bo97bo$2014bo6b
ooboo35bo92b3o$2016bobobobbo37bobo90boboo$2064bo90b3o$2018bo4bo37bobo
91b3o$2019b4o38bo93boo$2084bo10boo17bo$2083b5o6boo18bobo$2083bobboo8bo
7boo8boo$2085boobo5boo6b3obo$2094boo3boboo$2088bobo6boo$2093b3obo4bo$
2090b3o3bo4bo$2091bo7bo$2091bo6bo$$2069bo24bo$2068boo$2068bobo$$2070b
3o$2069b3o$2071bobo$2073b3o$2073b3o$2076bo$2073bobbo$2072bo3bo$2068boo
boo3bo49bo$2067boo7bo19bo28b3o$2069boboobbo16boobobo27boboo$2075bo16b
3o31b3o$2072bobo16bo3bo30b3o$2073bo17bobbo31boo$2072bo19bobo4b3o$2071b
obo19bo$2071bobo$2070bo$2070boo$2070boo12$2100boo$2100bobo$2100bo$
2101boo$2101bobbo$2101bo$2103bobo$2107bo$2105bobbo$2105bobbo$2107b3o$
2103b3ob3o$2099b3oboobb3o$2099bo7boo$2100bo6boo$2103b5o$2105boo$2104b
oo$2104boo$2103bobo$2102boo$2102bobo$2101bo$2102boo710$3322bo$3322bo$
3322bo926$4250bo$4250bo$4250bo!
The series of blinker puffers can be easily converted into rakes by removing part of the last period doubler convoy.

BCNU,
-dbell
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dvgrn
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Re: Spaceship Discussion Thread

Post by dvgrn » November 21st, 2023, 7:41 am

dbell wrote: ↑
November 21st, 2023, 4:49 am
I wanted to be able to delete the output blinkers, but I couldn't find any reaction which fit. If found, it would be a blinker to glider converter for sparse blinker trails.
Nice constructions!

I'm assuming that the output blinkers could be cleaned up with a capped siderake if you really had to, but that you're looking for a less ridiculously large solution than that.
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May13
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Re: Spaceship Discussion Thread

Post by May13 » November 21st, 2023, 7:55 am

I noticed that the small tagalong of 232P7H3V0 can turn a blinker into glider:

Code: Select all

x = 56, y = 52, rule = B3/S23
19bo11bo$18bobo9bobo$17b2ob2o7b2ob2o$17bo15bo$17b3o2bo5bo2b3o$15bo7bo
3bo7bo$16b2o2b2ob2ob2ob2o2b2o$16bobo4bo3bo4bobo$13b3ob3o2b2o3b2o2b3ob
3o$13b2ob4ob3o3b3ob4ob2o$14b4o4b2o3b2o4b4o$15bo5b2o5b2o5bo$19bo2bo5bo
2bo$18b3obo5bob3o$17bo5b2ob2o5bo$16b3ob2ob2ob2ob2ob3o$13b2ob2o15b2ob2o
$12b2ob2ob2ob4ob4ob2ob2ob2o$22b2o3b2o$13bo23bo$10b2ob2o6bo7bo6b2ob2o$
11b2o8b2o5b2o8b2o2$22b3ob3o$9bo31bo$8b3o29b3o$7b2ob2o27b2ob2o$6b3o33b
3o$6b2o35b2o$6b3o33b3o$8bo33bo2$7b2o33b2o$4b2obo35bob2o$4bo2bo35bo2bo$
6bo37bo$2b2o43b2o$bob2o41b2obo$bob2o41b2obo$2o47b2o$2obo43bob2o$2b3o
41b3o6bo$2b3o41b3o6bo$55bo2$48b2o$48bob2o$50bo$47b2o2bo$47b2o$49bo2bo$
50b2o!
Here's a smaller p63 rake than in jslife:

Code: Select all

x = 101, y = 170, rule = B3/S23
57bo7bo$55b2ob2o3b2ob2o$55b2ob2o3b2ob2o$58b2o3b2o$54bo5b3o5bo$54bo13bo
$55bo11bo$56b2o7b2o$53bobobobo3bobobobo$53bobob2o5b2obobo$53bobo11bobo
2$58bo5bo$57b2o5b2o$55b2o9b2o$55bo3bo3bo3bo$57bo2bobo2bo$57bobo3bobo$
56bo9bo$54bo3bo5bo3bo$53b4o9b4o$51b2obo2bo7bo2bob2o$51b2o2b3o7b3o2b2o$
54bobo2bo3bo2bobo$52bob3o2bo3bo2b3obo$52bo4bo7bo4bo2$53bo15bo$53b2obo
9bob2o$52bo3b2o7b2o3bo2$52b2o4bo5bo4b2o2$55b2ob2o3b2ob2o$49bo5b2o3bobo
3b2o5bo$48bob2o5bobo3bobo5b2obo$47b2o2bo3b2obo5bob2o3bo2b2o$49bob2ob6o
3b6ob2obo$54bo2bobo3bobo2bo$51bobo2bo9bo2bobo$49b3o3bo11bo3b3o$49b3obo
bo11bobob3o$50b3o17b3o2$51bo19bo$49b2o21b2o$48bo2bo19bo2bo$48bobo21bob
o$49b3o19b3o$17b3o9b3o28b3o$17bo2bo7bo2bo21bo5bo3bo5bo$16b2o13b2o16b2o
3bo4bobobo4bo3b2o$14b2obo3bo5bo3bob2o12bo2bo2b2ob2ob5ob2ob2o2bo2bo$17b
3ob2o3b2ob3o15bo2bo3bobo9bobo3bo2bo$13bo21bo19bo11bo$14bobob5o3b5obobo
17bo3b2o7b2o3bo$14bo3bo2b2o3b2o2bo3bo16bobo2bobo5bobo2bobo$14bo3b3o7b
3o3bo16bo3bo11bo3bo$14bo4bo9bo4bo15bo21bo$18b3o7b3o18b4o2b2o9b2o2b4o$
17bo2b2o5b2o2bo17b4o2bo11bo2b4o$20b2o5b2o24b2o13b2o$16b2o4bo3bo4b2o21b
o13bo$15bo3bo3bobo3bo3bo$12b2ob3obobobobobobob3ob2o16bobo11bobo$11bo5b
2o4bobo4b2o5bo14b2o15b2o$10bo4b2o15b2o4bo11bobo4bo7bo4bobo$10b3o8bo5bo
8b3o12bo3bobo7bobo3bo$19b2o7b2o24b3obo5bob3o$20bo2bobo2bo$12bo8b2o3b2o
8bo16b2o4bo3bo4b2o$9bo3bo7bo5bo7bo3bo17b3o3b3o$12bo23bo21b2o3b2o$7b2o
31b2o$6bo2b2o27b2o2bo18bo$6b2o2bo27bo2b2o17bobo$7b2o2bo25bo2b2o17b2ob
2o$8bobo27bobo19bobo$57b2o5b2o$6b3o31b3o18bo$6bo35bo16bo3bo$4b2o2bo31b
o2b2o14b2ob2o$3b2o39b2o9bo5bo5bo$2bo2bo37bo2bo9b3ob3ob3o$b2o43b2o$o47b
o$3o43b3o$b2o43b2o11b2ob2o$60b3o$2bobo39bobo13b3o$2bobo39bobo2$2b2o41b
2o$48bo10b2ob2o$46bo2b2o8b2ob2o$46bo3bo6bo3bo3bo$48bo2bo5b3obob3o$48bo
2bo5b2o2bo2b2o$49b2o8bo3bo$60bobo2$59bo3b2ob2o$60b3o2bo2bo$55b3o8bobo$
67bo8$79b3o9b3o$79bobo9bobo$58b2o18bo2bo9bo2bo$57bo2bo17bob4o5b4obo$
58b2o16b2o4bobo3bobo4b2o$77b3ob2obo3bob2ob3o$75bo8bo3bo8bo$75bobo2b2ob
o5bob2o2bobo$19b3o9b3o40bo3b2o4bo3bo4b2o3bo$19bo2bo7bo2bo41bobo5bo5bo
5bobo$18b2o13b2o19b2o20bo4b3o5b3o4bo$16b2obo3bo5bo3bob2o16bo2bo$19b3ob
2o3b2ob3o20b2o24b2obo5bob2o$15bo21bo40b2ob2obo3bob2ob2o$16bobob5o3b5ob
obo41b2ob2ob2ob2ob2ob2o$16bo3bo2b2o3b2o2bo3bo24bo13b2o8bobo8b2o$16bo3b
3o7b3o3bo23b3o10b2o3bob6ob6obo3b2o$16bo4bo9bo4bo22bo2b2o10bobo3b2o9b2o
3bobo$20b3o7b3o25b3ob2o8bob2o3bo13bo3b2obo$19bo2b2o5b2o2bo25b5o8bobo6b
3o5b3o6bobo$22b2o5b2o30bo5b2o3b2o25b2o$18b2o4bo3bo4b2o32b2o15bo3bo$17b
o3bo3bobo3bo3bo45bo3bobo3bo$14b2ob3obobobobobobob3ob2o36b2o5bobo3bobo
5b2o$13bo5b2o4bobo4b2o5bo33bo2bo19bo2bo$12bo4b2o15b2o4bo35bo19bo$12b3o
8bo5bo8b3o32b2o23b2o$21b2o7b2o43bo9b3o9bo$22bo2bobo2bo42b2o9bo3bo9b2o$
14bo8b2o3b2o8bo34b2ob2ob6obob6ob2ob2o$11bo3bo7bo5bo7bo3bo30bo3b2ob2obo
3bo3bob2ob2o3bo$14bo23bo33b4ob2o2bo2b2ob2o2bo2b2ob4o$9b2o31b2o28b3o2b
2o5b2ob2o5b2o2b3o$8bo2b2o27b2o2bo32b2o4bo5bo4b2o$8b2o2bo27bo2b2o32bo
17bo$9b2o2bo25bo2b2o$10bobo27bobo37b2o9b2o$79b2o11b2o$8b3o31b3o10bo24b
2o9b2o$8bo35bo11bo22bobo9bobo$6b2o2bo31bo2b2o9b2o22bo11bo$5b2o39b2o7b
3o$4bo2bo37bo2bo6b2o12bo4bo$3b2o43b2o23bobo$2bo47bo22bobo$2b3o43b3o23b
o$3b2o43b2o$70b3o$4bobo39bobo18bobobo$4bobo39bobo19b3o$68b3o$4b2o41b2o
$50bo$48bo2b2o$48bo3bo$50bo2bo$50bo2bo$51b2o!
No matter what happens, I always come back!

Spaceship databases:
hex-gliders.db (668 gliders, hexagonal grid)
new-gliders.db (29390 gliders, square grid)
My scripts: new-glider.py v0.2, nbsearch2a.py, collector.py v0.3

-Dmitry Maitak
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dbell
Posts: 478
Joined: June 27th, 2013, 12:47 am
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Re: Spaceship Discussion Thread

Post by dbell » November 21st, 2023, 8:18 pm

> I'm assuming that the output blinkers could be cleaned up with a
> capped siderake if you really had to, but that you're looking for a
> less ridiculously large solution than that.

Yes, a small solution is what I intended. I thought it might have been useful in making the period doubling convoy, but when I think about it now it wouldn't have helped.

Here are two more small MWSS-to-glider convertion diagonal c/4 convoys. These use the old sparking spaceship glider duplication reaction.

Code: Select all

#C A diagonal c/4 spaceship convoy which can convert a MWSS spaceship
#C into a glider moving back near the MWSS's path.
#C David I. Bell, November 2023
x = 78, y = 116
75bo$73bo3bo$72bo$72bo4bo$72b5o25$46bo$44bo3bo$43bo$43bo4bo$43b5o17$4b
3o$4bo$5bo$7boo$8bo$$5bo$bb4obo$bbo4bo9bo$3bo4boo5bo3bo$5bobb3o3bo$9b
oo3bo4bo$6booboo3b5o$boo4boboo$oo5bobo$bobo4boo$b3o$boo$3bobo$$5bobo$
7b3o$7bo$6bo$boboobo4bo$ooboobo$obo4bo$5boo38bo$5bo3bo34boo$4bo3bo35bo
bo$$4bobbo39boo$3boobo40boobb3o$3bo47boobo$bboo45bo4bo$bbo45b3o4bo$3bo
44bo5bo$35boo12bobobboo$34boo$36bo9b3o$38boo6booboo$38boobboobbob3o$
41boobobboo$42bo4boo$39boo3bo$22b3o14boo$22bo16bo$23bo16booboo$25boo
15bobo$26bo3boo$29boo$32boo$26b6o$26bobboobo$13boo13bo4bo$13bobo10bo6b
o$13bo11bo$16bo7boo3bo$16boobboobobb3o$20bo5bo$20bobo3bo$18boboo3bo$
17booboo$17bobbo$19bobo$19bobboo!

Code: Select all

#C A diagonal c/4 spaceship convoy which can convert a MWSS spaceship
#C into a glider moving slightly turned from the MWSS's path.
#C David I. Bell, November 2023
x = 78, y = 87
75bo$73bo3bo$72bo$72bo4bo$72b5o25$46bo$44bo3bo$43bo$43bo4bo$43b5o17$4b
3o$4bo$5bo$7boo$8bo$$5bo$bb4obo$bbo4bo9bo$3bo4boo5bo3bo$5bobb3o3bo$9b
oo3bo4bo10b3o$6booboo3b5o11bo$boo4boboo12b3o6bo$oo5bobo13bo6bobo$bobo
4boo14bo4boob4o$b3o22b4ob5oboo$boo24boo7boobo$3bobo$$5bobo$7b3o$7bo$6b
o$boboobo4bo$ooboobo$obo4bo$5boo$5bo3bo$4bo3bo$$4bobbo$3boobo$3bo$bboo
$bbo$3bo!
Now all three of my huge MWSS-to-glider turning reactions using a p116 smoking ship are pointless.

BCNU,
-dbell
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May13
Posts: 1045
Joined: March 11th, 2021, 8:33 am

Re: Spaceship Discussion Thread

Post by May13 » November 22nd, 2023, 7:39 am

p42 3c/7 forerake:

Code: Select all

x = 125, y = 138, rule = B3/S23
60bo7bo$59b3o5b3o$59bobo5bobo$57bobo4bo4bobo$57b2o4bobo4b2o$62bobobo$
61b2o3b2o$60b3o3b3o$56b2o2bo7bo2b2o$56b2obo9bob2o$56bo15bo$58bob2o5b2o
bo$57b2ob2o5b2ob2o$62bo3bo$58bo11bo$57bo4bo3bo4bo$61b2o3b2o$61b2o3b2o$
57bo3bo5bo3bo$57bo3bo5bo3bo$56b2o13b2o$55b2o2bo9bo2b2o$58b3o7b3o$56b2o
2b2o5b2o2b2o$53bo2b2obo2bo3bo2bob2o2bo$53bo4b2obo5bob2o4bo$54b3o2bo9bo
2b3o$55b2ob3o7b3ob2o$55b2o2b2o7b2o2b2o$55b2o15b2o$55b2o2b3o5b3o2b2o$
59bo9bo$55b2o15b2o$59bo2bo3bo2bo$59b2ob2ob2ob2o$51b3o7bo5bo7b3o$51bo2b
o6bo5bo6bo2bo$54b2ob2ob2obobob2ob2ob2o$50bo2bob2obo2bobobobo2bob2obo2b
o$56bobo11bobo$51bobobo17bobobo$52bo2b4o11b4o2bo2$56bo15bo$23b3o9b3o
16bo19bo$23bo2bo7bo2bo14b2o21b2o15b3o9b3o$22b2o13b2o13b2o21b2o15bobo9b
obo$20b2obo3bo5bo3bob2o10bob2o19b2obo13bo2bo9bo2bo$23b3ob2o3b2ob3o13b
2o2bo17bo2b2o13bob4o5b4obo$19bo21bo8b2obo2bo7bo7bo2bob2o10b2o4bobo3bob
o4b2o$20bobob5o3b5obobo9b3ob2o7b3o7b2ob3o11b3ob2obo3bob2ob3o$20bo3bo2b
2o3b2o2bo3bo9b3o3bobo2b2obob2o2bobo3b3o9bo8bo3bo8bo$20bo3b3o7b3o3bo18b
3o2bo2b3o18bobo2b2obo5bob2o2bobo$20bo4bo9bo4bo15bo15bo14bo3b2o4bo3bo4b
2o3bo$24b3o7b3o19bo2b2o3bo3b2o2bo15bobo5bo5bo5bobo$23bo2b2o5b2o2bo17b
2obobo3bo3bobob2o15bo4b3o5b3o4bo$26b2o5b2o20bob2o11b2obo$22b2o4bo3bo4b
2o16bobobob2o3b2obobobo19b2obo5bob2o$21bo3bo3bobo3bo3bo13b3o3bo9bo3b3o
15b2ob2obo3bob2ob2o$18b2ob3obobobobobobob3ob2o10bo21bo15b2ob2ob2ob2ob
2ob2o$17bo5b2o4bobo4b2o5bo9bo21bo12b2o8bobo8b2o$16bo4b2o15b2o4bo9bo4bo
9bo4bo11b2o3bob6ob6obo3b2o$16b3o8bo5bo8b3o8bob4o11b4obo11bobo3b2o9b2o
3bobo$25b2o7b2o16b2o21b2o8bob2o3bo13bo3b2obo$26bo2bobo2bo18bobo17bobo
9bobo6b3o5b3o6bobo$18bo8b2o3b2o8bo10bob2obo11bob2obo9b2o25b2o$15bo3bo
7bo5bo7bo3bo8b6o9b6o22bo3bo$18bo23bo14bo2bo7bo2bo22bo3bobo3bo$13b2o31b
2o10b3o7b3o24bobo3bobo$12bo2b2o27b2o2bo8bo3bo5bo3bo10b3o29b3o$12b2o2bo
27bo2b2o7bo4bo5bo4bo9bo2bo27bo2bo$13b2o2bo25bo2b2o8bo4bo5bo4bo8bo4bo
25bo4bo$14bobo27bobo10b2o11b2o8b2o35b2o$81bobo2bo25bo2bobo$12b3o31b3o
14bobo$12bo6bo11bo16bo15bo16bo2bo29bo2bo$10b2o2bo3bobo9bobo13bo2b2o11b
o3bo14bo2bo29bo2bo$9b2o6b2ob2o7b2ob2o16b2o10bo3bo12bobo35bobo$8bo2bo5b
o15bo15bo2bo8bo5bo10b3o37b3o$7b2o8b3o2bo5bo2b3o18b2o7b2obob2o12bo37bo$
6bo8bo7bo3bo7bo18bo6b2obob2o8bo45bo$6b3o7b2o2b2ob2ob2ob2o2b2o17b3o6bob
obobo7bob2o41b2obo$7b2o7bobo4bo3bo4bobo17b2o6bob2ob2obo6bobo43bobo$13b
3ob3o2b2o3b2o2b3ob3o22bo7bo5b2o47b2o$8bobo2b2ob4ob3o3b3ob4ob2o12bobo6b
2o7b2o5bo47bo$8bobo3b4o4b2o3b2o4b4o13bobo7bo2bobo2bo7b3o41b3o$15bo5b2o
5b2o5bo26b2ob2o10bo43bo$8b2o9bo2bo5bo2bo19b2o11bo$18b3obo5bob3o21bo$
17bo5b2ob2o5bo18bo2b2o7bo11bobo$16b3ob2ob2ob2ob2ob3o17bo3bo6b3o7b2ob2o
$13b2ob2o15b2ob2o16bo2bo5b3o6bobobo$12b2ob2ob2ob4ob4ob2ob2ob2o15bo2bo
18b2o$22b2o3b2o26b2o14bo2bobo$13bo23bo28b2o4bo2bo8bo11bo$10b2ob2o6bo7b
o6b2ob2o21b2obobo5b2o8bobo9bobo$11b2o8b2o5b2o8b2o25bobobo12b2ob2o7b2ob
2o$56b2obo3bob2ob3o11bo15bo$22b3ob3o30b2ob2o6bo11b3o2bo5bo2b3o$9bo31bo
38bo7bo3bo7bo$8b3o29b3o38b2o2b2ob2ob2ob2o2b2o$7b2ob2o27b2ob2o37bobo4bo
3bo4bobo$6b3o33b3o33b3ob3o2b2o3b2o2b3ob3o$6b2o35b2o33b2ob4ob3o3b3ob4ob
2o$6b3o33b3o34b4o4b2o3b2o4b4o$8bo33bo24b2o11bo5b2o5b2o5bo$67b2o15bo2bo
5bo2bo$7b2o33b2o39b3obo5bob3o$4b2obo35bob2o35bo5b2ob2o5bo$4bo2bo35bo2b
o17b2o15b3ob2ob2ob2ob2ob3o$6bo37bo10bo7bo2bo11b2ob2o15b2ob2o$2b2o43b2o
6bo8bo12b2ob2ob2ob4ob4ob2ob2ob2o$bob2o41b2obo5bo31b2o3b2o$bob2o41b2obo
21b2o5bo23bo$2o47b2o22bob2ob2o6bo7bo6b2ob2o$2obo43bob2o25b2o8b2o5b2o8b
2o$2b3o41b3o20bo2bo$2b3o41b3o21bo16b3ob3o$74bo31bo$73b3o29b3o$48b2o22b
2ob2o27b2ob2o$48bob2o19b3o33b3o$50bo20b2o35b2o$47b2o2bo19b3o33b3o$47b
2o24bo33bo$49bo2bo$50b2o20b2o33b2o$69b2obo35bob2o$69bo2bo35bo2bo$53b2o
16bo37bo$51bo3bo11b2o43b2o$56bo9bob2o41b2obo$50bo6bo8bob2o41b2obo$50bo
bobo2bo7b2o47b2o$50bo3bo2bo7b2obo43bob2o$51b2o2b2o10b3o41b3o$52b3o12b
3o41b3o$52b3o!
No matter what happens, I always come back!

Spaceship databases:
hex-gliders.db (668 gliders, hexagonal grid)
new-gliders.db (29390 gliders, square grid)
My scripts: new-glider.py v0.2, nbsearch2a.py, collector.py v0.3

-Dmitry Maitak
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Anivec
Posts: 1924
Joined: January 28th, 2022, 7:18 pm
Location: Somewhere I Belong

Re: Spaceship Discussion Thread

Post by Anivec » November 22nd, 2023, 4:05 pm

May13 wrote: ↑
November 22nd, 2023, 7:39 am
 p42 3c/7 forerake:

Code: Select all

x = 125, y = 138, rule = B3/S23
60bo7bo$59b3o5b3o$59bobo5bobo$57bobo4bo4bobo$57b2o4bobo4b2o$62bobobo$
61b2o3b2o$60b3o3b3o$56b2o2bo7bo2b2o$56b2obo9bob2o$56bo15bo$58bob2o5b2o
bo$57b2ob2o5b2ob2o$62bo3bo$58bo11bo$57bo4bo3bo4bo$61b2o3b2o$61b2o3b2o$
57bo3bo5bo3bo$57bo3bo5bo3bo$56b2o13b2o$55b2o2bo9bo2b2o$58b3o7b3o$56b2o
2b2o5b2o2b2o$53bo2b2obo2bo3bo2bob2o2bo$53bo4b2obo5bob2o4bo$54b3o2bo9bo
2b3o$55b2ob3o7b3ob2o$55b2o2b2o7b2o2b2o$55b2o15b2o$55b2o2b3o5b3o2b2o$
59bo9bo$55b2o15b2o$59bo2bo3bo2bo$59b2ob2ob2ob2o$51b3o7bo5bo7b3o$51bo2b
o6bo5bo6bo2bo$54b2ob2ob2obobob2ob2ob2o$50bo2bob2obo2bobobobo2bob2obo2b
o$56bobo11bobo$51bobobo17bobobo$52bo2b4o11b4o2bo2$56bo15bo$23b3o9b3o
16bo19bo$23bo2bo7bo2bo14b2o21b2o15b3o9b3o$22b2o13b2o13b2o21b2o15bobo9b
obo$20b2obo3bo5bo3bob2o10bob2o19b2obo13bo2bo9bo2bo$23b3ob2o3b2ob3o13b
2o2bo17bo2b2o13bob4o5b4obo$19bo21bo8b2obo2bo7bo7bo2bob2o10b2o4bobo3bob
o4b2o$20bobob5o3b5obobo9b3ob2o7b3o7b2ob3o11b3ob2obo3bob2ob3o$20bo3bo2b
2o3b2o2bo3bo9b3o3bobo2b2obob2o2bobo3b3o9bo8bo3bo8bo$20bo3b3o7b3o3bo18b
3o2bo2b3o18bobo2b2obo5bob2o2bobo$20bo4bo9bo4bo15bo15bo14bo3b2o4bo3bo4b
2o3bo$24b3o7b3o19bo2b2o3bo3b2o2bo15bobo5bo5bo5bobo$23bo2b2o5b2o2bo17b
2obobo3bo3bobob2o15bo4b3o5b3o4bo$26b2o5b2o20bob2o11b2obo$22b2o4bo3bo4b
2o16bobobob2o3b2obobobo19b2obo5bob2o$21bo3bo3bobo3bo3bo13b3o3bo9bo3b3o
15b2ob2obo3bob2ob2o$18b2ob3obobobobobobob3ob2o10bo21bo15b2ob2ob2ob2ob
2ob2o$17bo5b2o4bobo4b2o5bo9bo21bo12b2o8bobo8b2o$16bo4b2o15b2o4bo9bo4bo
9bo4bo11b2o3bob6ob6obo3b2o$16b3o8bo5bo8b3o8bob4o11b4obo11bobo3b2o9b2o
3bobo$25b2o7b2o16b2o21b2o8bob2o3bo13bo3b2obo$26bo2bobo2bo18bobo17bobo
9bobo6b3o5b3o6bobo$18bo8b2o3b2o8bo10bob2obo11bob2obo9b2o25b2o$15bo3bo
7bo5bo7bo3bo8b6o9b6o22bo3bo$18bo23bo14bo2bo7bo2bo22bo3bobo3bo$13b2o31b
2o10b3o7b3o24bobo3bobo$12bo2b2o27b2o2bo8bo3bo5bo3bo10b3o29b3o$12b2o2bo
27bo2b2o7bo4bo5bo4bo9bo2bo27bo2bo$13b2o2bo25bo2b2o8bo4bo5bo4bo8bo4bo
25bo4bo$14bobo27bobo10b2o11b2o8b2o35b2o$81bobo2bo25bo2bobo$12b3o31b3o
14bobo$12bo6bo11bo16bo15bo16bo2bo29bo2bo$10b2o2bo3bobo9bobo13bo2b2o11b
o3bo14bo2bo29bo2bo$9b2o6b2ob2o7b2ob2o16b2o10bo3bo12bobo35bobo$8bo2bo5b
o15bo15bo2bo8bo5bo10b3o37b3o$7b2o8b3o2bo5bo2b3o18b2o7b2obob2o12bo37bo$
6bo8bo7bo3bo7bo18bo6b2obob2o8bo45bo$6b3o7b2o2b2ob2ob2ob2o2b2o17b3o6bob
obobo7bob2o41b2obo$7b2o7bobo4bo3bo4bobo17b2o6bob2ob2obo6bobo43bobo$13b
3ob3o2b2o3b2o2b3ob3o22bo7bo5b2o47b2o$8bobo2b2ob4ob3o3b3ob4ob2o12bobo6b
2o7b2o5bo47bo$8bobo3b4o4b2o3b2o4b4o13bobo7bo2bobo2bo7b3o41b3o$15bo5b2o
5b2o5bo26b2ob2o10bo43bo$8b2o9bo2bo5bo2bo19b2o11bo$18b3obo5bob3o21bo$
17bo5b2ob2o5bo18bo2b2o7bo11bobo$16b3ob2ob2ob2ob2ob3o17bo3bo6b3o7b2ob2o
$13b2ob2o15b2ob2o16bo2bo5b3o6bobobo$12b2ob2ob2ob4ob4ob2ob2ob2o15bo2bo
18b2o$22b2o3b2o26b2o14bo2bobo$13bo23bo28b2o4bo2bo8bo11bo$10b2ob2o6bo7b
o6b2ob2o21b2obobo5b2o8bobo9bobo$11b2o8b2o5b2o8b2o25bobobo12b2ob2o7b2ob
2o$56b2obo3bob2ob3o11bo15bo$22b3ob3o30b2ob2o6bo11b3o2bo5bo2b3o$9bo31bo
38bo7bo3bo7bo$8b3o29b3o38b2o2b2ob2ob2ob2o2b2o$7b2ob2o27b2ob2o37bobo4bo
3bo4bobo$6b3o33b3o33b3ob3o2b2o3b2o2b3ob3o$6b2o35b2o33b2ob4ob3o3b3ob4ob
2o$6b3o33b3o34b4o4b2o3b2o4b4o$8bo33bo24b2o11bo5b2o5b2o5bo$67b2o15bo2bo
5bo2bo$7b2o33b2o39b3obo5bob3o$4b2obo35bob2o35bo5b2ob2o5bo$4bo2bo35bo2b
o17b2o15b3ob2ob2ob2ob2ob3o$6bo37bo10bo7bo2bo11b2ob2o15b2ob2o$2b2o43b2o
6bo8bo12b2ob2ob2ob4ob4ob2ob2ob2o$bob2o41b2obo5bo31b2o3b2o$bob2o41b2obo
21b2o5bo23bo$2o47b2o22bob2ob2o6bo7bo6b2ob2o$2obo43bob2o25b2o8b2o5b2o8b
2o$2b3o41b3o20bo2bo$2b3o41b3o21bo16b3ob3o$74bo31bo$73b3o29b3o$48b2o22b
2ob2o27b2ob2o$48bob2o19b3o33b3o$50bo20b2o35b2o$47b2o2bo19b3o33b3o$47b
2o24bo33bo$49bo2bo$50b2o20b2o33b2o$69b2obo35bob2o$69bo2bo35bo2bo$53b2o
16bo37bo$51bo3bo11b2o43b2o$56bo9bob2o41b2obo$50bo6bo8bob2o41b2obo$50bo
bobo2bo7b2o47b2o$50bo3bo2bo7b2obo43bob2o$51b2o2b2o10b3o41b3o$52b3o12b
3o41b3o$52b3o!
Here's a p84 3c/7o forerake using that and a filter I don't see in JSlife-moving:

Code: Select all

x = 202, y = 171, rule = B3/S23
55b3o5b3o$55bobo5bobo$55bobo5bobo$53bob2o3bo3b2obo$53b2o4bobo4b2o$57b
2obob2o$56bo7bo$56bobo3bobo$52b5o7b5o$51bo2bo11bo2bo$52bob3o7b3obo$54b
ob2o5b2obo$53b2obobo3bobob2o$53b3obo5bob3o2$57b2o3b2o$59bobo$56bo7bo$
56b2o5b2o$53b2o11b2o$51bob2o11b2obo$51b2o2b2o7b2o2b2o$51bo2bo2bo5bo2bo
2bo$52bo4bo5bo4bo$52bo2bo2bo3bo2bo2bo$49bo5bo9bo5bo$50bobo15bobo$54bo
11bo$50bo3bobo7bobo3bo$50bo2bo3bo5bo3bo2bo$51b2o2b2o7b2o2b2o$55bo9bo2$
55b5ob5o$48bo6b2ob2ob2ob2o6bo$47b3o7bo5bo7b3o$47bo2b2o5bo5bo5b2o2bo$
49bo3b5o5b5o3bo$54bob2o5b2obo$48bo3bo15bo3bo$48bob2o2bo11bo2b2obo$48bo
b4o13b4obo$51bo17bo$88bo11bo$19bo11bo17bo21bo15b3o9b3o$18bobo9bobo15bo
bo19bobo16bo9bo$17b2ob2o7b2ob2o13bo25bo11bob2o11b2obo$17bo15bo13bo2bo
19bo2bo11bo4b3o3b3o4bo$17b3o2bo5bo2b3o17bo17bo14bob3ob3o3b3ob3obo$15bo
7bo3bo7bo13bo2bo6b3o6bo2bo$16b2o2b2ob2ob2ob2o2b2o10bo4b4o4bo3bo4b4o4bo
7b3ob4obo3bob4ob3o$16bobo4bo3bo4bobo11bob2obo3bob2o3b2obo3bob2obo8b2o
7bo3bo7b2o$13b3ob3o2b2o3b2o2b3ob3o9bo5bob5ob5obo5bo9b3o2bob2o5b2obo2b
3o$13b2ob4ob3o3b3ob4ob2o19bo5bo$14b4o4b2o3b2o4b4o15bo2b2o7b2o2bo19bo2b
o5bo2bo$15bo5b2o5b2o5bo15bo2bobo7bobo2bo18bo11bo$19bo2bo5bo2bo18b2o4b
2o5b2o4b2o15b2o2bobo3bobo2b2o$18b3obo5bob3o18bobob2o7b2obobo16bo3b3o3b
3o3bo$17bo5b2ob2o5bo15bob2obobo7bobob2obo12b2o4bo2bobo2bo4b2o$16b3ob2o
b2ob2ob2ob3o13b2o21b2o9bob2obob2o2bobo2b2obob2obo$13b2ob2o15b2ob2o11b
2o19b2o9b2obo3bo3bo3bo3bo3bob2o$12b2ob2ob2ob4ob4ob2ob2ob2o10b6o11b6o8b
obo3b2o13b2o3bobo$22b2o3b2o19b2ob4o11b4ob2o7b2o8bo7bo8b2o$13bo23bo10b
2obobo13bobob2o8bo7b3o5b3o7bo$10b2ob2o6bo7bo6b2ob2o8bob2o15b2obo17b2ob
o3bob2o$11b2o8b2o5b2o8b2o9bo4b2o9b2o4bo18b3o3b3o$50bo4bo9bo4bo11b2o7b
2o3b2o7b2o23bo11bo$22b3ob3o22bo4bo7bo4bo8bo31bo18b3o9b3o$9bo31bo11b5o
5b5o9b3o29b3o19bo9bo$8b3o29b3o10b3obo5bob3o8bo2b2o27b2o2bo14bob2o11b2o
bo$7b2ob2o27b2ob2o8b2o2b3o3b3o2b2o7bo3b2o25b2o3bo14bo4b3o3b3o4bo$6b3o
33b3o7bo15bo7bobob2o25b2obobo13bob3ob3o3b3ob3obo$6b2o35b2o8bo13bo9b3o
29b3o$6b3o33b3o33b2o29b2o14b3ob4obo3bob4ob3o$8bo33bo17bo15b2o33b2o12b
2o7bo3bo7b2o$59b3o14bobo14bo11bo4bobo12b3o2bob2o5b2obo2b3o$7b2o33b2o
15bobo11b3o15b2ob2o7b2ob2o5b3o$4b2obo35bob2o10b2o3b2o9bo17b2ob2o7b2ob
2o7bo14bo2bo5bo2bo$4bo2bo35bo2bo10bobobobo7b2obo15bo3b2o7b2o3bo5bob2o
12bo11bo$6bo37bo11bo7bo6b2o17b3o13b3o7b2o10b2o2bobo3bobo2b2o$2b2o43b2o
7bo3bo3bo5bo22b3ob2ob2ob3o12bo9bo3b3o3b3o3bo$bob2o41b2obo6bo7bo5bobo
16b3o5b2ob2o5b3o6bobo7b2o4bo2bobo2bo4b2o$bob2o41b2obo6bob2ob2obo5bobo
15bo5b2o7b2o5bo5bobo5bob2obob2o2bobo2b2obob2obo$2o47b2o5bo7bo6b3o13bo
6b2o2bobo2b2o6bo3b3o5b2obo3bo3bo3bo3bo3bob2o$2obo43bob2o4b3o5b3o27b3o
2bobo2b3o16bobo3b2o13b2o3bobo$2b3o41b3o6b5ob5o21bo6bo9bo6bo10b2o8bo7bo
8b2o$2b3o41b3o9b2ob2o9bo15b2o5bo7bo5b2o5bo6bo7b3o5b3o7bo$59b3o30b2o2b
2o3b2o2b2o24b2obo3bob2o$69bob3o18b5o5b5o25b3o3b3o$48b2o9b3o6b2obo18bo
7bobo7bo16b3o5b2o3b2o5b3o$48bob2o15b2o2bo17bo2bo3b3ob3o3bo2bo16b2o17b
2o$50bo8bobo5b3obo14b3o21b3o10b5o17b5o$47b2o2bo8bo6bo2bo15b2ob2obo2bo
2bobo2bo2bob2ob2o10b2o23b2o$47b2o19b2o16b3o6bo2bobo2bo6b3o14b2o15b2o$
28bo11bo8bo2bo33b3o7bo5bo7b3o11b3ob2o13b2ob3o$26b2ob2o7b2ob2o7b2o32b2o
b2o6b2o5b2o6b2ob2o8bo4b3o11b3o4bo$26b2ob2o7b2ob2o13b2o26b4o7b2o5b2o7b
4o7bo3bo4bo9bo4bo3bo$25bo3b2o7b2o3bo12b2o6bo30bo7bo19b3ob2o3bo7bo3b2ob
3o$25b3o13b3o19bobo31bo3bo29bo9bo$28b3ob2ob2ob3o21b2obo16b3o12bo3bo12b
3o11bo15bo$24b3o5b2ob2o5b3o17bob2o15bo3bo27bo3bo12b2o9b2o$23bo5b2o7b2o
5bo15b3obo14bo3b2o27b2o3bo10b2o11b2o$22bo6b2o2bobo2b2o6bo14bo21bo31bo
14b2o9b2o$28b3o2bobo2b3o18b2o18bo39bo9b2obo7bob2o$22bo6bo9bo6bo11b2o9b
o10bobo33bobo10b2ob2o5b2ob2o$23b2o5bo7bo5b2o5b3o5b2o2b2o2b3o12bo33bo
12b2o3bo3bo3b2o$27b2o2b2o3b2o2b2o20bo3bob2o11b2o33b2o14b2o5b2o28b3o9b
3o$27b5o5b5o20bo17b3o33b3o13b2o5b2o28bobo9bobo$25bo7bobo7bo19bo3bo10b
2obo35bob2o8bob2o7b2obo24bo2bo9bo2bo$24bo2bo3b3ob3o3bo2bo33bo2bo35bo2b
o10b2o7b2o26bob4o5b4obo$21b3o21b3o29bo43bo7bo2bo7bo2bo22b2o4bobo3bobo
4b2o$21b2ob2obo2bo2bobo2bo2bob2ob2o28b3o41b3o6bo2bo7bo2bo23b3ob2obo3bo
b2ob3o$21b3o6bo2bobo2bo6b3o27bo47bo5bo4bo3bo4bo21bo8bo3bo8bo$21b3o7bo
5bo7b3o27bob2o41b2obo11bobo27bobo2b2obo5bob2o2bobo$19b2ob2o6b2o5b2o6b
2ob2o6b2o19b2o41b2o8bo4bobo4bo21bo3b2o4bo3bo4b2o3bo$19b4o7b2o5b2o7b4o
6b2o16bo2b2o41b2o2bo10bobo27bobo5bo5bo5bobo$30bo7bo90b2obo2bobo2bob2o
22bo4b3o5b3o4bo$32bo3bo39bobo41bobo8bo2b2ob2o2bo$17b3o12bo3bo12b3o25bo
43bo12b2ob2o31b2obo5bob2o$16bo3bo27bo3bo16bo98b2ob2obo3bob2ob2o$15bo3b
2o27b2o3bo15bo4b3o52bo13bo24b2ob2ob2ob2ob2ob2o$18bo31bo18bo3b2obo51b3o
11b3o20b2o8bobo8b2o$14bo39bo19bob2o85b2o3bob6ob6obo3b2o$15bobo33bobo
21b3o51b2o11b2o20bobo3b2o9b2o3bobo$17bo33bo23bobo51bo13bo18bob2o3bo13b
o3b2obo$16b2o33b2o20b4o51bo15bo17bobo6b3o5b3o6bobo$15b3o33b3o19b2o87b
2o25b2o$13b2obo35bob2o118bo3bo$13bo2bo35bo2bo115bo3bobo3bo$12bo43bo71b
6o5b6o27bobo3bobo$11b3o41b3o101b3o29b3o$10bo47bo69bo5bo3bo5bo14bo2bo
27bo2bo$10bob2o41b2obo69bo5b2ob2o5bo13bo4bo25bo4bo$12b2o41b2o72bo13bo
13b2o35b2o$9bo2b2o41b2o2bo72bo7bo17bobo2bo25bo2bobo$131bo9bo$11bobo41b
obo74b4ob4o17bo2bo29bo2bo$12bo43bo77b2ob2o19bo2bo29bo2bo$130bo11bo13bo
bo35bobo$131b2o7b2o13b3o37b3o$131bo9bo15bo37bo$129b2o3b2ob2o3b2o9bo45b
o$130b2o2b2ob2o2b2o9bob2o41b2obo$127b2obo2b2o3b2o2bob2o6bobo43bobo$
128bo3b2o5b2o3bo6b2o47b2o$126bobo5bo3bo5bobo5bo47bo$126bo4b3o5b3o4bo6b
3o41b3o$130b2obo5bob2o11bo43bo$127bo4bo7bo4bo$127b2o2bob2o3b2obo2b2o$
126bo4bob2o3b2obo4bo6bobo$126bo6b2o3b2o6bo3b2ob2o$126bo4bobo5bobo4bo2b
obobo$126bo7bo3bo7bo6b2o$127bo2bo11bo2bo2bo2bobo$127b3o13b3o3bo2bo$
127bo22b2o$126b3o$130bo11b2ob2o$131bo10bo3bo$132bo9bo3bo$125bob2obobo
10bobo$130bobo11bo$132bo$130b3o$131bo$130bobo$131b2o8bo5bo$131bo8bobo
3bobo$140bobo3bobo$141bo5bo!
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Sokwe
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Posts: 3367
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Re: Spaceship Discussion Thread

Post by Sokwe » November 23rd, 2023, 5:55 am

AlbertArmStain wrote: ↑
November 22nd, 2023, 4:05 pm
 a filter I don't see in JSlife-moving
Interesting. Did you find this just now?
-Matthias Merzenich
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dbell
Posts: 478
Joined: June 27th, 2013, 12:47 am
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Re: Spaceship Discussion Thread

Post by dbell » November 23rd, 2023, 10:02 am

Here are some more diagonal c/4 results.

Firstly, the period 3712 blinker puffer I showed in my previous post has a hidden feature. The leading period 116 blinker puffer is unnecessary! If you look closely, all of its blinkers are deleted by gliders to let the corresponding MWSS stream pass. So you can simply delete the initial blinker puffer, the blinkers it produces, and the glider rake in the first doubling convoy. (This destroys the elegance of having all of the period doubling convoys the same, of course.)

I managed to create another simple period 116 puffer, this time for tubs. The simple boat or beehive puffer is still elusive.

Code: Select all

#C A period 116 diagonal c/4 tub puffer.
#C David I. Bell, November 2023
x = 298, y = 307
78bo$77boo$77bobo$$80boo$77bobboo$76boo$76boboo$79boo$78bo$75b6o$73boo
bobo$72bo4bo$71bo4bobboo$59boo10bobbo$58boo10bo4bo$60bo5boobboobo$62b
ooboo3bobo$61bo5bob3o$67boobobbo15boo$42boo7b3obbobo3bobbobbobobbo14b
oo$41boo8bo3bo4bo3boo24bo$27b3o13bobboo5bobbo3bo3bobo25bo$27bo9bo7bobo
bbobbobbo3bo30bobo$28bo6bobbo6bobbobo6bo32boo$30boobboo3bo4boobobobboo
boobbobobb3o23boo$31bo7booboo3bob3obb4o6bo25b3o$35bo6bobobo3bo4boo8bo
9boo9b3oboo$31boo3bo3b5obo3bo4bo14bo3boo3bo5bobbo$30boboboo4b3o3bo5bob
oo13boo3boboboo4bo$30bobobboboob3o4bo4bo3booboboo5booboboo9bo$29bo4boo
7bobboo7bobo3boo4boo3b3o9boo$29boo16bo12boob4o12bo$29boo9boo10bo11boob
o4b3o3boboboo$35boobb4o8boo11boo6bo4boo4boo$35bobobobo9bobo11b3o5bob3o
bbobboo5bo$38boboo3boo35bo6boo$34b3obboo4bobo3bobboo10bo7bo9bobobbobo$
35bo4bo4bo3bobo14bo8bobo7booboo$37boo9boo5bobo27bo4bo$35b5o9bo9bob3o$
35bobo15bo3bo3b3o$36bobbo7b3o3bo5bo$38boo4boo3bo11bo$36booboo3bobbobob
oo6bobo$39boo3bobo11boo5boo$35bobobo11bo8bo4bobo$34b3obbo11bo8b3obbo$
34bo4bobbo6bo14boo$42bo6bobo7b5o$39boo7bobbo9b3o$39boo3bo4boobo7bobo$
39bo4bobboo12bo$40booboobobo$42boobooboo$45boobo17boo$47boboobo13bobo$
47boobobbo6boo4bo$32bo6b3o3bobbo3bo7bobo4bobo$31boo6bo4b3obboo9bo6b3o$
31bobo6bo3bo5bo12bo$36bo7boo4boo11boobobbo$34boboo6b8o14b4o$33boo3b3o
4b5o8boo8bobbo$30boo6boobbo15bobbo5bob3o$29boo5bo11b3o7bo3b4ob3o$24boo
5bobobobbo4bo16bo6bo$19boobboo8booboboo3bo4bobo10b5o3b3o$19bobo3bo5bo
4bobbo3bo5bo12boobobo$19bo10bo3bo3boo26bo$20boo4b3obo3bobboo$20bobbo4b
oobbo4bobboo$20bo7boobo$22boboboo3bo3b3o$23boob3oboo3b4o23boo25boo$27b
obo5bobo24boo24boo3bo$22boo5bobo5bobbo49boboo$25boobboo6bo54b3o$20boo
6b6o3bo3bo50bo$20boobobb3o3bobobbo19boo35b3o$21b4obboboo3bo5boboo12bob
o28boobo4boo$22boo8bo5b3o15bobbo27boboo3bobo$23bo6boo8bo15bo3boob3o15b
oo4boboo3b3o$27boo8boobbo15bo6b3o13boo6bo5b3o$21bobo3bobo6b6o16bo7bo
14bobo4boo4bobo$20boo5boboo5bo5bo22bo15b3o4boobboo$20bobo9boo6bobo17bo
3bo6b3o7boo6bobo$16boo4bo5boo3bo7boo18bo21bobo3boo3bo$16bobo3boo4boo
32bo6bo5bo13b4o$16bo6boo5b3o10bo25bo5bo9bobo$19bo7boobobo4boobbooboo
23bo5bo11b4o$19boo7boboo4boo3b5o41b4o$28bobo7bobboboo26b3o14boo$27boob
3o7booboo$24boo5boo8bo22boo$24boo3bob3o7bo22boo$23bobobobo11boo37bo$
22boobboo15bo35bobo$21b3obb3oboo4boo40bobbo$21bo5boob3obboo4booboo33b
oo$20booboo5bo6bobbo$21bobo$22bobooboob3o5boobbo$22bobb4ob3o7bo$22bob
oo$22bobobo4boo$24bo5boo79b3o$18b3obboo6bo79bo$18bo85b3o6bo$19bo5b5o
74bo6bobo$21b6o78bo4boob4o$22b4o48bo32b4ob5oboo$22boobb5o42b5o30boo7b
oobo$8boo12b3o4b3o41bobboo$7boo13boo7b3o41boobo$9bo11bo7bo3bo80bobbo$
11boo9bo3boo50bobo32b5obo$10bo12bobboobbo82bo6bo$20b4oboobboo49b3o5boo
24boboo3bo$9bobbo7bo5bobo52b3o4boo32bo$boo5boobbobo4bobbo3bo51b6o10bo
3bo20bobo$oo5bo5bobobboboo5boboo62bo$bbo4bobo4b3ob4o10bo48bo11bo26bobb
o$4boobbo9boo8bo3bo48bo12b3obo21bobbo$4boo10b3o9boo51bo13b4o22boboobo
33boobo$17boo10bobobo63bo8boo13boobbobo32bo3bo$27bobo3bo41b3o3boo23boo
14bo5bo31bo4bo$26boo5bobboo37bo46bo39boo$26bobbobbo3boo38bobboo46bo36b
obo$23b3o4boo4bo42booboo41bo$23bo13bo36bo4bo79bo6boo$24bo10boo36b4oboo
29boo47b5o4bobbo$29boo4b3o35bo36boo40boo4bo6boo$28boo6boo36boo3bo29bo
42bobo11bo$30bobbo39b6o73bo5boboo6bobo$32b3o29boo6boo79boo4bo4bobo$32b
oo30bobo3boobbo78bobbo6b3o$24boo5boo31bo5b3o80bo6booboo$23boo6boo34bo
30boo45bo9bobobobbo$25bobbooboo34boo18bo10boo45bo$27boo57b5o54bo11bo4b
o$27boo57bobboo67b4o$88boobo$99b3o50bo$91bobo5bo51boo$103boo46bo$84b3o
6b3o3bo3b3o43bo$79bo4bobb3o4b3obboo4boo44bo$78boo5boob5ob3o8b3o36bo4b
3o$78bobo3b3o4booboo5bo4bo37bobo$90bobo9b4o39bobo$80b3o6bobbo9b3o37boo
$79b3o7bo51bo5bo$81bobob4obbo50bo3bo$83booboo47boo7boo$83b6o46boo23$
153b3o$153bo$154bo$$194bo$193boo$179bo7bo5bobo$176bo4bo4boo$176bo5bo3b
obo3boobobo$176bo13bo7boo$178bobbo7bo4bo5boo$178b3o8bobbobb6o$167boo$
167bobo$167bo$170bo$170boo3bo$170boobbobo49b3o$171boboobbo48bobb3o$
171boobob3o48bobo$171bobo3boo53bo$171bo5bo52bo$157b3o17boo53bobo$157bo
12boo53boobo6bo$158bo10boboo31boo18boo3bobbobbo$160b3o5bo4bo30boo3b3o
6b3o4bobbobbo3bo$161b6oboo3bo35b3o6bo6bobbobbo3bo$164bo4bo37boobo10bo
3bo6bobo$163bobo4boo37bo8bobbo8boo$162b3o42boo10bobbo6b3o$161bo44boo4b
oo6bo5bo3bo$162bobo41boo4boo8boboboobo$163b5o56boo$164boobo60bo$211bo
3boo$217bo7bobbo$212bo5bo$217bo$214b3o28bo$244boo$238bo5bobo$237boo$
209boo26bobo3boobobo$208boo31bo7boo$209bobo28bo4bo5boo$209b3o28bobbobb
6o$209boo$211bobo$$213bobo$215b3o$215bo$214bo$209boboobo4bo$208booboob
o$208bobo4bo$213boo$213bo3bo$212bo3bo$$212bobbo$211boobo$211bo$210boo$
210bo$211bo3$238bo$237bobo$238bo27$267bo$266bobo$267bo27$296bo$295bobo
$296bo!
The period 116 smoking ship from my previous post has lots of reactions for an incoming MWSS, but hardly any for a sideways glider. There are only about four rows available below the smoking ship where gliders can pass by to react with the smoke. None of the reactions I found were impressive (just blocks, blinkers and such) so I won't show any of them here.

But today I found another smoking ship which is much more useful. There are so many possible reactions that I haven't seen them all, so there may be something good lurking there. I also didn't investigate any MWSS impacts.

Code: Select all

#C A period 116 diagonal c/4 spaceship with a large cloud of smoke.
#C The smoke reaches down about 30 rows below the rest of the ship
#C allowing many different ways that incoming sideways gliders can
#C react with it.  The reaction also produces an output glider which
#C is suppressed.  If the suppressing spaceship is deleted then the
#C glider can escape, which might be useful.
#C David I. Bell, November 2023
x = 254, y = 244
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$41b3o4boo$44boo4bo
15boo$50boo13boo$40bo5boobboboo6boo4bobo$31boo6boo3boobboboo7boo5boobo
$31bobo5bobobbobobb3o9bo5bobo$31bo11bobbo16boobbobo$35b3o5bo3boo14b4o
bbo$33boob4o11bo13boobboo$33b3o4bo3bo13boo6bo4bo$29b3o5boobo5b3o8boo3b
3oboo3bo$29bobbo4b3o10bo8bob4obbobo$23b3o4boboobooboo10bo16bo$19boobbo
9booboboobb3o5bo10bo3bobbobo$18boo4bo8boo5bo20bo3bo4bo$19bobo4boob3o3b
o3bo4boo20bo$19b3o5booboobo3bobbo4bo$19boo10bo5boo6bo$21bobo5boboo4bo
12bo$24bobo4boobbobbo9bobo$23boo4b3obbo3bo8bo40b3o$22boboboobobo3bo14b
o37bobb3o$26bobbo7boo6boobboo38bobo$21boo13b3o7boobo44bo$20b3obbo6boo
bb3o24bo28bo$23boobo5bobo6boo19bobbo28bobo$20bo3boboobobo6boboo23bo21b
oobo6bo$21bo7bo10bo21bo23boo3bobbobbo$22boo7bo5bobboo18b5o15b3o4bobbo
bbo3bo$22bo4b4o5bo4bo18bobboo15bo6bobbobbo3bo$20b3o3booboo5bobb4o11boo
5boo20bo3bo6bobo$20bo8boo5bobo3bo11boo5boo17bobbo8boo$20bobo7boboo8boo
26bo10bobbo6b3o$16boo4bo5boobboo7boo17boo7bobo10bo5bo3bo$15boo5bobo3bo
bboo9bo25bobbo12boboboobo$17bo4b3obbobbobo9b3o24boo15boo$19boo6boo3bo
3b3obbo3bo44bo$19boo7bobo5bo3bo$28bo3bo4bo49bobbo$27boobobo7booboo$24b
3oboo11bo$23bo4bobbobo6boo$22boobobobbobo8boo$21bo3bo3boo11bo$21bobo6b
obobb3o4b3o$24bobobo3bobbo5bo42boo$20booboo4boo5bo4bo41bobbo$20boo3bo
3boo7boo44bobo$21booboobbobobo6bo45bo$21boo5bobobo6bo$21boobo5bo57boo$
24bo5b3o55boo22bo$19bo4bo5bo80boo$18boo3boo5boo73bo5bobo$18bobo3b5o75b
oo$22boo3boo75bobo3boobobo$21bo6bo58b3o18bo7boo$28boo43boobo8boobbo17b
o4bo5boo$21bo4b3obbo41bo3bo7b4o18bobbobb6o$7b3o11bobbobbo45bo4bo4b3obo
$7bo13bobbo4bobobo41boo6boo$8bo12bobo9bo43bobo16boo15boobboo$10boo10bo
3b3o67boo15bob4o$11bo11boo3b3o48boo32bo4bobo$20b6obb3o49bobbo37bo$8boo
3bo5boobbobbobbo90b3o$3o5boobbobo4bo6boboo49boobbo$o6bobo3bobb3o3bo56b
o40bo$bo4boo6b3o4bo6boobo$3b4obo19boo50b3o37boobo$4boo10bo11b3obo87boo
b4o33boo$16bobo10bobbo43bo4boo11bobo24bobb4o31boo3bo$26boobbobboo40boo
17bobbo24boo37boboo$26boo4boobboo37bobobboo12bobbo65b3o$24boboobb3obbo
43b3o12bo3bo64bo$23b3o4boo4bo41bobbo13bobo67b3o$23bobo9bobo35boo21bo
61boobo4boo$35bo37bobobboo78boboo3bobo$28b3o42bobboboo72boo4boboo3b3o$
28bo6bobo39boo56boo14boo6bo5b3o$29bobb3o37bo3b3o55bobo15bobo4boo4bobo$
31bobbo29boo5boo3boo56boo16b3o4boobboo$34bo28boo5bo81boo6bobo$23b3o39b
o4bobo81bobo3boo3bo$23bo9bo33boobbo88b4o$24bobb6o34boo17boobo66bobo$
26bo59bo3bo67b4o$27boo57bo4bo40b3o23b4o$88boo42bobbo23boo$90bobo43bo$
125boo6boobo$85bo6boo31boo6b3o$84b5o4bobbo$78boo4bo6boo$78bobo11bo40bo
$78bo5boboo6bobo36bo$79boo4bo4bobo$79bobbo6b3o$79bo6booboo$81bobobobbo
$$83bo4bo$84b4o3$156bo$156bo7$161boo$160bobbo$161boo3$164booboo$161bo
3bobo$160boo3b3o$160bobo$161bo$154bo$153boo$153bobo3$193boo$193bobo$
186boo5bo$186bobo3boobbo$186bo11bo$189bo3boo3b3o$189boo4boo4bo$195b7o$
167boo27b4o$166boo$168bo$170boo$169bo5bo19b3o29bo$173boobo18b3o28b5o$
174bo3bo15bo3bo27bobboo$170boobb3o17booboo29boobo$170boobo$158bo13bo3b
o54bobo$157boo11boo5boo8boo15boo$157bobo10b3o12bo5boo7boo5bo16b3o6b3o$
161bo7boboo10bo9bo5bo9bo9bo4bobb3o4b3o$160bo3booboobobbo9bobb5obbo5bo
bb5obbo8boo5boob5ob3o$160bo3boob3o13bo3bobbob3o3b3obobbo3bo8bobo3b3o4b
ooboo$166boboo15bo21bo22bobo$162bobbo4bo14bo4bo11bo4bo12b3o6bobbo$162b
3o21boobbo11bobboo12b3o7bo$161bobbo23boo13boo16bobob4obbo$162bobobo56b
ooboo$167bo55b6o$163bo3bo6$244b3o$244bo$237b3o6bo$237bo6bobo$238bo4boo
b4o$240b4ob5oboo$241boo7boobo5$237b3o$239bo$238bo9$241bo$239bobboo$
237bo3bo$237bobo$238bo!
Here is the same object with the suppressing spaceship omitted, while also showing a reaction by incoming gliders which can cleanly suppress the output gliders.

Code: Select all

#C A period 116 diagonal c/4 sideways rake.
#C Also shown are a few incoming sideways gliders from a sparse
#C period 116 glider stream which can suppress the output gliders.
#C This rake is thus an in-line inverter for sideways gliders.
#C David I. Bell, November 2023
x = 619, y = 231
334boo$334bobo$334bo$337bo$337boo$333boobboo$333bobboo$333bob3o$334bo
bbo$333bo$331b3o$330boo$329boob5o$328boo$315b3o9boo3bo$315bo11bobobo$
316bo5b3oboobo$318boobbobbo3bo$319bo4bo4bo$309bo13boo4bo15b3o$298b3o7b
oo11b5o19bo$285bo12bo9bob5oboboboobo22bo$284boo13bo3boo4bob3obb3obbo
26boo$284bobo14boob3o6boo32boo$291b3obo6boboob6obobbo4bo$287boobboobb
3obb3obo4boo4bo5boo23bo$287boobboo3b4o4bobob3o3bo6bobo20bo4bo$288boo6b
o4boboo9bo16b3o9b3obobo$288b4obo3bo3boboo3bo17boo3bobb3o5booboo$287bob
oboobo7b3o3bob3o12bobbo6boo4boo$286boo8boobbo3bo5boobboob3o4bo3bo11boo
$286bobobb3o4boo3b3o8boo5b6obbobo9boo$285bo17boo12boobo4bo10bo3boo$
286boo8bobbo8boo19boo3boo3b3o$292booboobbo8bobo13bo4bobbobbobbo$292bob
o13bo12b3o9b3o3bobo4boo$291bobboobbo3boo5bobo10bobo6b3o7boo3bobo$291b
3o7boo4bo35boo$291booboobo5bobbo4b3o27bob4o$292bo12boo12bo22boobbo$
292bo3bo8boo6boboboobo$292bo3bo9bo8bobbobo$293boobo8boo10boo$293bo7b4o
bobbo$294bo5boobobobo7boo$294bo7bo4b3o5boo5boo$291boo3bo20bo3boo$291bo
bobboo9bo9boo3bo$291bo24bo4boo$296b3o6boo10bo$296b3o6bobboo6bo$295bo8b
ob3o8bobbo$296bobobbobboo12bo$297boo4bo$298b3o4boo$301boo4bo15boo$307b
oo13boo$297bo5boobboboo6boo4bobo$288boo6boo3boobboboo7boo5boobo$288bob
o5bobobbobobb3o9bo5bobo$288bo11bobbo16boobbobo$292b3o5bo3boo14b4obbo$
290boob4o11bo13boobboo$290b3o4bo3bo13boo6bo4bo$286b3o5boobo5b3o8boo3b
3oboo3bo$286bobbo4b3o19bob4obbobo$280b3o4boboobooboo7bobo17bo$276boobb
o9booboboobb3obbobbo4boo4bo3bobbobo$275boo4bo8boo5bo6bobo5boo4bo3bo4bo
$276bobo4boob3o3bo3bo15boo9bo$276b3o5booboobo3bobbo$276boo10bo5boo$
278bobo5boboo4bo$281bobo4boobbobbo$280boo4b3obbo3bo8booboo36b3o$279bob
oboobobo3bo10bo6bo34bobb3o$283bobbo7boo7bo6bo35bobo$278boo13b3o7bo7bo
39bo$277b3obbo6boobb3o9boob4o37bo$280boobo5bobo6boo11bo39bobo$277bo3bo
boobobo6boboo7boobboo32boobo6bo$278bo7bo10bo9bob3o9b3o19boo3bobbobbo$
279boo7bo5bobboo10bo27b3o4bobbobbo3bo$279bo4b4o5bo4bo10bo11bobo13bo6bo
bbobbo3bo$277b3o3booboo5bobb4o22bo17bo3bo6bobo$277bo8boo5bobo3bo37bobb
o8boo$277bobo7boboo8boo19bobbo14bobbo6b3o$273boo4bo5boobboo7boo14boo4b
obbo15bo5bo3bo$272boo5bobo3bobboo9bo14boo4boo19boboboobo$274bo4b3obbo
bbobo9b3o28bo12boo$276boo6boo3bo3b3obbo3bo26bobo15bo$276boo7bobo5bo3bo
30bobbo$285bo3bo4bo34boo13bobbo$284boobobo7booboo$281b3oboo11bo$280bo
4bobbobo6boo$279boobobobbobo8boo$278bo3bo3boo11bo$278bobo6bobobb3o4b3o
$281bobobo3bobbo5bo$277booboo4boo5bo4bo$277boo3bo3boo7boo$278booboobbo
bobo6bo47boo$278boo5bobobo6bo46bobbo$278boobo5bo56bobo$281bo5b3o55bo
23bo$276bo4bo5bo80boo$275boo3boo5boo60bo12bo5bobo$275bobo3b5o62bobo10b
oo$279boo3boo63boo10bobo3boobobo$278bo6bo58boo3boo14bo7boo$285boo43boo
bo11boo17bo4bo5boo$278bo4b3obbo41bo3bo8boboo17bobbobb6o$264b3o11bobbo
bbo45bo4bo6boobboo$264bo13bobbo4bobobo41boo9bo4boo$265bo12bobo9bo43bob
o8bo3bo20boobboo$267boo10bo3b3o60b3o21bob4o$268bo11boo3b3o48boo32bo4bo
bo$277b6obb3o49bobbo15boo20bo$265boo3bo5boobbobbobbo69boo19b3o$257b3o
5boobbobo4bo6boboo49boobbo$257bo6bobo3bobb3o3bo56bo40bo$258bo4boo6b3o
4bo6boobo$260b4obo19boo50b3o37boobo$261boo10bo11b3obo87boob4o33boo$
273bobo10bobbo43bo4boo38bobb4o31boo3bo$283boobbobboo40boo45boo37boboo$
283boo4boobboo37bobobboo16bobo62b3o$281boboobb3obbo43b3o18bo62bo$280b
3o4boo4bo41bobbo14bobo66b3o$280bobo9bobo35boo21bo61boobo4boo$292bo37bo
bobboo15bobo60boboo3bobo$285b3o42bobboboo15boo55boo4boboo3b3o$285bo6bo
bo39boo15bo56boo6bo5b3o$286bobb3o37bo3b3o16boo55bobo4boo4bobo$288bobbo
29boo5boo3boo18bo41bo13b3o4boobboo$291bo28boo5bo66b3o12boo6bobo$280b3o
39bo4bobo63bobboo13bobo3boo3bo$280bo9bo33boobbo66b3o19b4o$281bobb6o34b
oo17boobo47boboo15bobo$283bo59bo3bo47b3o17b4o$284boo57bo4bo43bobb3o17b
4o$345boo69boo$347bobo42bo3bo$393b3o$342bo6boo42b3o$341b5o4bobbo$335b
oo4bo6boo35boo$335bobo11bo35boo7boo$335bo5boboo6bobo39bobbo$336boo4bo
4bobo44bo$336bobbo6b3o$336bo6booboo$338bobobobbo$$340bo4bo$341b4o14$
420b3o$420boo$$425bo$423b3o$417boo3b3obo$415boobobbobbo$411bo3bo4bobbo
4bo$410boo3b3obbobbobboo$410bobo8boo3bo3$450boo$450bobo$443boo5bo$443b
obo3boobbo$443bo11bo$446bo3boo3b3o$446boo4boo4bo$452b7o$424boo27b4o$
423boo$425bo$427boo$426bo5bo51bo$430boobo18b3o28b5o$431bo3bo15bo3bo4b
oo21bobboo$427boobb3o21bobb4o23boobo$427boobo19bobb5o3boo$415bo13bo3bo
16bo5bob4obo24bobo$414boo11boo5boo14boo4bobboobo$414bobo10b3o30b3o18b
3o6b3o$418bo7boboo21boo7boo14bo4bobb3o4b3o$417bo3booboobobbo19bobo7bob
o12boo5boob5ob3o$417bo3boob3o18boobboo11boobboo7bobo3b3o4booboo$423bob
oo18bobo17bobo19bobo$419bobbo4bo20boo5bobo5boo12b3o6bobbo$419b3o28boo
3bobo3boo13b3o7bo$418bobbo21bo7boo7boo7bo8bobob4obbo$419bobobo18boo6bo
4bobo4bo6boo9booboo$424bo17bo7boo3bobo3boo7bo9b6o$420bo3bo18bobo8bo3bo
8bobo$443bobbo19bobbo$444boo21boo10$3o55b3o113b3o55b3o55b3o$bbo57bo
115bo57bo57bo$bo57bo115bo57bo57bo3$500b3o55b3o55b3o$502bo57bo57bo$501b
o57bo57bo!
Finally, here is one of the many useful reactions with the smoke.

Code: Select all

#C A reaction with a period 116 diagonal c/4 smoking ship which
#C can create a boat.  (There are many other reactions which can
#C create boats. even in different orientations.)
x = 254, y = 224
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$41b3o4boo$44boo4bo
15boo$50boo13boo$40bo5boobboboo6boo4bobo$31boo6boo3boobboboo7boo5boobo
$31bobo5bobobbobobb3o9bo5bobo$31bo11bobbo16boobbobo$35b3o5bo3boo14b4o
bbo$33boob4o11bo13boobboo$33b3o4bo3bo13boo6bo4bo$29b3o5boobo5bo10boo3b
3oboo3bo$29bobbo4b3o8boo9bob4obbobo$23b3o4boboobooboo8bobo16bo$19boobb
o9booboboobboo17bo3bobbobo$18boo4bo8boo5bo4boo14bo3bo4bo$19bobo4boob3o
3bo3bo7bo18bo$19b3o5booboobo3bobbo4b5o$19boo10bo5boo7boobo$21bobo5bob
oo4bo$24bobo4boobbobbo22boo$23boo4b3obbo3bo22boo25b3o$22boboboobobo3bo
52bobb3o$26bobbo7boo50bobo$21boo13b3o55bo$20b3obbo6boobb3o17boo34bo$
23boobo5bobo6boo13boo36bobo$20bo3boboobobo6boboo13bobbo28boobo6bo$21bo
7bo10bo15bo29boo3bobbobbo$22boo7bo5bobboo15b3o4boo14b3o4bobbobbo3bo$
22bo4b4o5bo4bo18bobbobo14bo6bobbobbo3bo$20b3o3booboo5bobb4o16booboo7bo
11bo3bo6bobo$20bo8boo5bobo3bo16b4o8bo8bobbo8boo$20bobo7boboo8boo27bo9b
obbo6b3o$16boo4bo5boobboo7boo39bo5bo3bo$15boo5bobo3bobboo9bo24b3o3b3o
8boboboobo$17bo4b3obbobbobo9b3o41boo$19boo6boo3bo3b3obbo3bo25bo18bo$
19boo7bobo5bo3bo30bo$28bo3bo4bo33bo15bobbo$27boobobo7booboo18boo$24b3o
boo11bo21boo$23bo4bobbobo6boo37bo$22boobobobbobo8boo35bobo$21bo3bo3boo
11bo34bobbo$21bobo6bobobb3o4b3o33boo$24bobobo3bobbo5bo$20booboo4boo5bo
4bo$20boo3bo3boo7boo$21booboobbobobo6bo$21boo5bobobo6bo$21boobo5bo$24b
o5b3o79bo$19bo4bo5bo80boo$18boo3boo5boo73bo5bobo$18bobo3b5o75boo$22boo
3boo75bobo3boobobo$21bo6bo67b3o9bo7boo$28boo43boobo30bo4bo5boo$21bo4b
3obbo41bo3bo19boo8bobbobb6o$7b3o11bobbobbo45bo4bo$7bo13bobbo4bobobo41b
oo$8bo12bobo9bo43bobo33boobboo$10boo10bo3b3o84bob4o$11bo11boo3b3o48boo
6boo24bo4bobo$20b6obb3o49bobbo3boo8boo22bo$8boo3bo5boobbobbobbo67boo
21b3o$3o5boobbobo4bo6boboo49boobbo9b3o$o6bobo3bobb3o3bo56bo13bobbo23bo
$bo4boo6b3o4bo6boobo61bobbo$3b4obo19boo50b3o12boo23boobo$4boo10bo11b3o
bo72boo13boob4o33boo$16bobo10bobbo43bo4boo22boo14bobb4o31boo3bo$26boo
bbobboo40boo45boo37boboo$26boo4boobboo37bobobboo81b3o$24boboobb3obbo
43b3o81bo$23b3o4boo4bo41bobbo83b3o$23bobo9bobo35boo83boobo4boo$35bo37b
obobboo27b3o48boboo3bobo$28b3o42bobboboo29bo42boo4boboo3b3o$28bo6bobo
39boo29bo42boo6bo5b3o$29bobb3o37bo3b3o73bobo4boo4bobo$31bobbo29boo5boo
3boo74b3o4boobboo$34bo28boo5bo81boo6bobo$23b3o39bo4bobo24boo55bobo3boo
3bo$23bo9bo33boobbo25boo44b3o14b4o$24bobb6o34boo17boobo66bobo$26bo59bo
3bo57bo9b4o$27boo57bo4bo56boo8b4o$88boo9boo46boobo8boo$90bobo6bobo47b
3o$100b3o43bobbobo$85bo6boo6bobbo43boboo$84b5o4bobbo4bobbo39bo4bo$78b
oo4bo6boo8bobbo41bo$78bobo11bo8boboo36b3o5bo$78bo5boboo6bobo4boo37bob
4obbo$79boo4bo4bobo51boo$79bobbo6b3o48b3oboo$79bo6booboo51boo$81bobobo
bbo45boo$134boo$83bo4bo$84b4o21$154bo$153boo$153bobo3$193boo$177boo14b
obo$177b3o6boo5bo$176bobbo6bobo3boobbo$176boboo6bo11bo$177boo10bo3boo
3b3o$189boo4boo4bo$195b7o$167boo27b4o$166boo$168bo$170boo$169bo5bo51bo
$173boobo49b5o$174bo3bo47bobboo$170boobb3o51boobo$170boobo$158bo13bo3b
o54bobo$157boo11boo5boo26boo$157bobo10b3o31b4o16b3o6b3o$161bo7boboo30b
3oboo10bo4bobb3o4b3o$160bo3booboobobbo34boo8boo5boob5ob3o$160bo3boob3o
39bo8bobo3b3o4booboo$166boboo36bobo21bobo$162bobbo4bo35bo13b3o6bobbo$
162b3o41boo11b3o7bo$161bobbo40b3obboo9bobob4obbo$162bobobo44boo10boob
oo$167bo42bobo10b6o$163bo3bo44b3o$213bobo$215bo$213bobo$213boo$$244b3o
$244bo$237b3o6bo$237bo6bobo$22b3o55b3o55b3o97bo4boob4o$24bo57bo57bo99b
4ob5oboo$23bo57bo57bo101boo7boobo!
BCNU,
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Re: Spaceship Discussion Thread

Post by dbell » November 25th, 2023, 3:40 am

Here are a few more diagonal c/4 results.

I finally managed to find simple puffers for beehives and boats.

Code: Select all

#C A period 116 diagonal c/4 beehive puffer.
#C David I. Bell, November 2023
x = 292, y = 288
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$41b3o4boo$44boo4bo
15boo$50boo13boo$40bo5boobboboo6boo4bobo$31boo6boo3boobboboo7boo5boobo
$31bobo5bobobbobobb3o9bo5bobo$31bo11bobbo16boobbobo$35b3o5bo3boo14b4o
bbo$33boob4o11bo13boobboo$33b3o4bo3bo13boo6bo4bo$29b3o5boobo5bo10boo3b
3oboo3bo$29bobbo4b3o9bo9bob4obbobo$23b3o4boboobooboo27bo$19boobbo9boob
oboo3boo5boo9bo3bobbobo$18boo4bo8boo5bobbooboboboo9bo3bo4bo$19bobo4boo
b3o3bo3bo4bo3boo16bo$19b3o5booboobo3bobbo17boo$19boo10bo5boo7bo3bo7boo
$21bobo5boboo4bo9bobbo$24bobo4boobbobbo9b3o$23boo4b3obbo3bo49b3o$22bob
oboobobo3bo20bo31bobb3o$26bobbo7boo15boob3o29bobo$21boo13b3o16bo3bo34b
o$20b3obbo6boobb3o12bo3bobboo32bo$23boobo5bobo6boo7bobo4bo36bobo$20bo
3boboobobo6boboo8bobo34boobo6bo$21bo7bo10bo10bo34boo3bobbobbo$22boo7bo
5bobboo38b3o4bobbobbo3bo$22bo4b4o5bo4bo38bo6bobbobbo3bo$20b3o3booboo5b
obb4o40bo3bo6bobo$20bo8boo5bobo3bo37bobbo8boo$20bobo7boboo8boo37bobbo
6b3o$16boo4bo5boobboo7boo39bo5bo3bo$15boo5bobo3bobboo9bo41boboboobo$
17bo4b3obbobbobo9b3o41boo$19boo6boo3bo3b3obbo3bo29boo13bo$19boo7bobo5b
o3bo33bobbo$28bo3bo4bo22b3o12bobo9bobbo$27boobobo7booboo31bo$24b3oboo
11bo19boo$23bo4bobbobo6boo$22boobobobbobo8boo42b3o$21bo3bo3boo11bo38bo
3bobbobboo$21bobo6bobobb3o4b3o32bo4bobboboobobo$24bobobo3bobbo5bo34bo
13b4o$20booboo4boo5bo4bo34boo11boboo$20boo3bo3boo7boo40boobo6b3o$21boo
boobbobobo6bo40b3obbo5bo$21boo5bobobo6bo42bo3bobbo$21boobo5bo43boo8boo
3bo$24bo5b3o41boo10bo25bo$19bo4bo5bo55bo24boo$18boo3boo5boo55bo3bo13bo
5bobo$18bobo3b5o59bobbo12boo$22boo3boo60boo13bobo3boobobo$21bo6bo79bo
7boo$28boo43boobo30bo4bo5boo$21bo4b3obbo41bo3bo29bobbobb6o$7b3o11bobbo
bbo45bo4bo$7bo13bobbo4bobobo41boo$8bo12bobo9bo43bobo33boobboo$10boo10b
o3b3o84bob4o$11bo11boo3b3o48boo32bo4bobo$20b6obb3o49bobbo37bo$8boo3bo
5boobbobbobbo90b3o$3o5boobbobo4bo6boboo49boobbo$o6bobo3bobb3o3bo56bo
40bo$bo4boo6b3o4bo6boobo$3b4obo19boo50b3o37boobo$4boo10bo11b3obo87boob
4o33boo$16bobo10bobbo43bo4boo38bobb4o31boo3bo$26boobbobboo40boo45boo
37boboo$26boo4boobboo37bobobboo81b3o$24boboobb3obbo43b3o81bo$23b3o4boo
4bo41bobbo83b3o$23bobo9bobo35boo83boobo4boo$35bo37bobobboo48b3o27boboo
3bobo$28b3o42bobboboo48b5o19boo4boboo3b3o$28bo6bobo39boo49boobboo17boo
6bo5b3o$29bobb3o37bo3b3o44boo3booboo19bobo4boo4bobo$31bobbo29boo5boo3b
oo38boo5bo5b3o20b3o4boobboo$34bo28boo5bo45boo6boo26boo6bobo$23b3o39bo
4bobo81bobo3boo3bo$23bo9bo33boobbo88b4o$24bobb6o34boo17boobo66bobo$26b
o59bo3bo67b4o$27boo57bo4bo66b4o$88boo69boo$90bobo$$85bo6boo60b3o$84b5o
4bobbo56bo3bo$78boo4bo6boo59bo5bo$78bobo11bo60bo4bo$78bo5boboo6bobo58b
oboo$79boo4bo4bobo$79bobbo6b3o61bo$79bo6booboo60boo$81bobobobbo61bobo$
149boobobooboo$83bo4bo61bobobbobo$84b4o62b3o3$156bobo$155boo$156bobbo$
158bo$154bo4bo$145boo8bobo$145boo$160boo$152boo5b4o$157bobobo$156bo3b
oo$156bobobo$157boo6$154bo$153boo$153bobo3$193boo$193bobo$186boo5bo$
186bobo3boobbo$186bo11bo$189bo3boo3b3o$189boo4boo4bo$195b7o$167boo27b
4o$166boo$168bo$170boo$169bo5bo$173boobo$174bo3bo8bo40boo$170boobb3o9b
3o38boo3bo$170boobo12bobo40boboo$158bo13bo3bo15boo37b3o$157boo11boo5b
oo13boo37bo$157bobo10b3o19boboo37b3o$161bo7boboo18bo4bo29boobo4boo$
160bo3booboobobbo16bobo3bo29boboo3bobo$160bo3boob3o17b3obo4bo23boo4bob
oo3b3o$166boboo17boo5boo23boo6bo5b3o$162bobbo4bo18bo3bo26bobo4boo4bobo
$162b3o24bo3bo26b3o4boobboo$161bobbo25b3o27boo6bobo$162bobobo55bobo3b
oo3bo$167bo60b4o$163bo3bo56bobo$226b4o$226b4o$227boo13$231boo$230bobbo
$231boo27$260boo$259bobbo$260boo27$289boo$288bobbo$289boo!

Code: Select all

#C A period 116 diagonal c/4 boat puffer.
#C The boats point perpendicular to the puffer's movement.
#C David I. Bell, November 2023
x = 313, y = 300
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$41b3o4boo$44boo4bo
15boo$50boo13boo$40bo5boobboboo6boo4bobo$31boo6boo3boobboboo7boo5boobo
$31bobo5bobobbobobb3o9bo5bobo$31bo11bobbo16boobbobo$35b3o5bo3boo14b4o
bbo$33boob4o11bo13boobboo$33b3o4bo3bo13boo6bo4bo$29b3o5boobo5bo3bo6boo
3b3oboo3bo$29bobbo4b3o9bo9bob4obbobo$23b3o4boboobooboo8bobo16bo$19boo
bbo9booboboobb3o4bo11bo3bobbobo$18boo4bo8boo5bo8bo11bo3bo4bo$19bobo4b
oob3o3bo3bo26bo$19b3o5booboobo3bobbo$19boo10bo5boo$21bobo5boboo4bo$24b
obo4boobbobbo$23boo4b3obbo3bo23boo24b3o$22boboboobobo3bo26boo24bobb3o$
26bobbo7boo50bobo$21boo13b3o55bo$20b3obbo6boobb3o53bo$23boobo5bobo6boo
14boo35bobo$20bo3boboobobo6boboo14boboo27boobo6bo$21bo7bo10bo14boobboo
3bo21boo3bobbobbo$22boo7bo5bobboo14boobbobbobbo13b3o4bobbobbo3bo$22bo
4b4o5bo4bo15bo5bobbo13bo6bobbobbo3bo$20b3o3booboo5bobb4o21bobo16bo3bo
6bobo$20bo8boo5bobo3bo22bo6bo7bobbo8boo$20bobo7boboo8boo28bo8bobbo6b3o
$16boo4bo5boobboo7boo18bo10bo9bo5bo3bo$15boo5bobo3bobboo9bo41boboboobo
$17bo4b3obbobbobo9b3o23b3o3b3o9boo$19boo6boo3bo3b3obbo3bo44bo$19boo7bo
bo5bo3bo31bo$28bo3bo4bo34bo14bobbo$27boobobo7booboo27bo$24b3oboo11bo
22boo$23bo4bobbobo6boo22boo$22boobobobbobo8boo37bo$21bo3bo3boo11bo36bo
bo$21bobo6bobobb3o4b3o33bobbo$24bobobo3bobbo5bo37boo$20booboo4boo5bo4b
o$20boo3bo3boo7boo$21booboobbobobo6bo$21boo5bobobo6bo$21boobo5bo$24bo
5b3o79bo$19bo4bo5bo80boo$18boo3boo5boo73bo5bobo$18bobo3b5o75boo$22boo
3boo75bobo3boobobo$21bo6bo79bo7boo$28boo43boobo30bo4bo5boo$21bo4b3obbo
41bo3bo29bobbobb6o$7b3o11bobbobbo45bo4bo$7bo13bobbo4bobobo41boo$8bo12b
obo9bo43bobo33boobboo$10boo10bo3b3o84bob4o$11bo11boo3b3o48boo32bo4bobo
$20b6obb3o49bobbo4boo31bo$8boo3bo5boobbobbobbo58boo30b3o$3o5boobbobo4b
o6boboo49boobbo$o6bobo3bobb3o3bo56bo13boo25bo$bo4boo6b3o4bo6boobo61bob
o$3b4obo19boo50b3o11bo3bo21boobo$4boo10bo11b3obo61bo3bo21boob4o33boo$
16bobo10bobbo43bo4boo14boo7boo13bobb4o31boo3bo$26boobbobboo40boo29boo
14boo37boboo$26boo4boobboo37bobobboo81b3o$24boboobb3obbo43b3o81bo$23b
3o4boo4bo41bobbo83b3o$23bobo9bobo35boo83boobo4boo$35bo37bobobboo29b3o
46boboo3bobo$28b3o42bobboboo31bo40boo4boboo3b3o$28bo6bobo39boo31bo40b
oo6bo5b3o$29bobb3o37bo3b3o73bobo4boo4bobo$31bobbo29boo5boo3boo74b3o4b
oobboo$34bo28boo5bo81boo6bobo$23b3o39bo4bobo81bobo3boo3bo$23bo9bo33boo
bbo26boo60b4o$24bobb6o34boo17boobo8boo44b3o9bobo$26bo59bo3bo67b4o$27b
oo57bo4bo66b4o$88boo10bo58boo$90bobo6boo50boo$99bo51boo$85bo6boo9bobo
44b3o$84b5o4bobbobboobbobbo43bo$78boo4bo6boo6boo6bo41bobo$78bobo11bo7b
o6bo37bo4boo$78bo5boboo6bobo5boo3bo36bobo3bo$79boo4bo4bobo8bo3bo37b4o$
79bobbo6b3o10bobbo36bo3bo$79bo6booboo12bo37bobo$81bobobobbo56boo$135b
oo8bo$83bo4bo46boo$84b4o21$154bo$153boo$153bobo3$193boo$193bobo$186boo
5bo$186bobo3boobbo$175b3o8bo11bo$177bo11bo3boo3b3o$177boobo8boo4boo4bo
$178b3o14b7o$167boo10bo16b4o$166boo$168bo$170boo$169bo5bo$173boobo$
174bo3bo$170boobb3o$170boobo$158bo13bo3bo$157boo11boo5boo$157bobo10b3o
$161bo7boboo31boo4bo$160bo3booboobobbo30boo3bobo19boo$160bo3boob3o49b
3o9bobo$166boboo38bobbo7bobb3o6bo9bo$162bobbo4bo38bo10bobo16boobo$162b
3o41b3o16bo4boobbo3boobbo$161bobbo47boo9bo6boobboboobbo$162bobobo39boo
4boo11boboobo3b5o$167bo66boo$163bo3bo58bobb6o$216bo10b7o$216boo11b3o$
217boo$215b3o$215boo$215bo10$221bo$220b5o$220bobboo$222boobo$$225bobo
$$218b3o6b3o$213bo4bobb3o4b3o$212boo5boob5ob3o$212bobo3b3o4booboo$224b
obo$214b3o6bobbo26boo$213b3o7bo28bobo$215bobob4obbo27bo$217booboo$217b
6o25$282boo$281bobo$282bo27$311boo$310bobo$311bo!

Code: Select all

#C A period 116 diagonal c/4 boat puffer.
#C The boats point forwards to the puffer's movement.
#C David I. Bell, November 2023
x = 292, y = 317
76b3o$76bo$77bo$79boo$80bo$75b3o$75bo$78boo$75bobboo$78bo$73boboo$72b
3o3bo$71b3obo3bo$58boo10b4obobbo$58bobo10bo$58bo6booboboboo$61bo3bo4bo
$61boobbo$61boo4b3obobo14boo$41boo8boobbo6boo3boo3bo15bobo$41bobo6boo
3b4o4boo23bo$27boo12bo4bo4boobb5obo29bo$26boo17boo3boo12boo24bobo$28bo
6b3o6boo3boo5boobobo28bobo$30boobb3obo3bo3bobobbo3bo8boo24bo$30b4o4bo
bbobbobobobbooboo3bo3boo25bo$32b3o3bobbo4bobobboo3bobo6bo8boobo8bo3bo$
33bo8boo6boobo20bo3bo6b3obo$29b3oboobobboobb3o3bob4o13b3o3bo4bo4boo$
29b3obbobobboobb3o9boboobo7bo3bo3boo5boo$33bobbo5b4o6boobo3boobobboo4b
oo11bo$28boo4bo8bo3bo11bo3bo3bo4bo$28bo10bobbo4bo15bobb4obboo3b3o3bo$
35bo3boo9b3o11bobbo3bo5bob4o$34b4obbo9bo13b3o5bobobboboobo$34bo4bo5bo
5bo21b3o6bo3bob3o$33b3obboo4boo7boo9b3o7b3o9bobo$37bo6bobobboo3bo20boo
6boo5bo$39bo8b3o3b3o28bobboo$34booboo9boboo4b3obboo$34bobobobo8b3o5bo
bboo$38boo6bo3boo6boo$35bobbo5b4ob3o7b3o$38bo4boobobobo7bo$35boobo4bo
14bo6bo$38bo5bo13boboobboo$33boobobobo8b3o12bobo$33bobbobobbo17bobbobo
$34bo4bobo6boo8bobbo3bo$41boo5b3o7bobbo$38booboo4bo4bo8bo$38booboo9bo
6boo$40bobo3boo$43bob3o$41bo3bo3bo16bo$46bo4bo13boo$43bo3boboobo7bo4bo
bo$39boo3bobb3obo7boo$30b3o5boo3boo3bo10bobo5boboo$30bo9bo5bo19boo$31b
o3bo6bo6boo11boobboo$33b3o7b7o12boobboo$32boobo3bo18bo4boo4boo$29boo4b
4obo16b4obb4o4bo$29bo5boobb3o6bo8bobb3o3b3o$23boo4bo7bob3o5b3o9bo9bo$
19bo3bobo5b3ob3obboo5b3o10b5obbo$18boo3bo9boboo3boo22bo4boo$18bobo5bo
3b4o3booboo23boo$26bobb3obo3bobbo$20b3o3bo3bo5bobboo$19b3o6boo5bo$21bo
bo4boo$23b5obo4booboo22boo25boobo$24bo4bo4bobo24boo25bo3bo$22bobo12boo
49bo4bo$21b5obb3o6b3o50boo$20bobo4bo9b3o52bobo$19boobob3o4b3o3boobbo
14boo$21boo5bobb3o3boo3bo12bobo29bo6boo$26boboobo6bo3bo12boo29b5o4bobb
o$21bo6boo9bo16boobo20boo4bo6boo$21bobo3bo12bo16b3ob5o14bobo11bo$23bo
bboo7b5o18b5obbo14bo5boboo6bobo$19boo5bobo6bo5bo18bo10bo9boo4bo4bobo$
19boo7booboo3bob4o18b5o6bo9bobbo6b3o$16bo4bo5booboo8bo19b3o8bo9bo6boob
oo$15boo4b3o6bo52bobobobbo$15bobo9bobboo9bobo23b3o3b3o$19bo4bobobbo6b
oo3bobbo40bo4bo$18bo4bo3bobobbo3bobobbobbo26bo14b4o$18bobbo6boo6bo3bo
bbo27bo$27bo11boobo28bo$24boboobb3o7bobo20boo$23booboobo10bo22boo$22bo
3bo6bo7bo37bo$21bobbo3bo3bo8bo36bobo$21bo4boobbo4boo6bo33bobbo$20bobo
3bo3boo3bobo3bobo34boo$20bo9bo4bo4boobo$20boboo6boo6boboo$21bo3boboob
oo6bobbo$23bobbo11bobo$21boobbo4bo$21bobo6bo$23b3o3boo80boo$18boo3bo
86boo$17boo4bo3bo3bo72boo5bo$19bo83boo5boo$21bobb3oboo75bo4bobobboo$
21boobo71boo9boo3boob4o$72b3o32boo10bo$7boo12bo3b6o41bobb3o41bo$7bobo
10bob6o3bo41bobo37bo$7bo15b3obbo3boo44bo34bo3bo$10bo9boo5boo47bo35boob
oo$10boo10boobboboo48bobo31bo3boboo$10boo8boo3boobo52bo5boo24boob4o$9b
oo8boo4bobo50bobbo5boo7bobo19boobbo$oo6boo3bo7bo4bo51bobbo11boo24boobo
$obo3boobbobobobooboo5b4o48bobbo10bo5bo21bo$o5b3o4bo4boo7bobbo61bo27b
oo$3bo10bo12b5o47bobo11boobbo22b3o$3boo11boo10bobbo49bo13b3o22boobbo
35bo$16boo12b3o72boo17bobo32b5o$26b3obobo42boo4bo23boo14bo3bobo31bobb
oo$26boboobo3bo38boo4boo39b6o34boobo$26boboboo3boo39bobboboo40b3o$23b
oo5bo6bo40booboo81bobo$22boo7bo3bo$24bo10bo36b3obbo30boo47b3o6b3o$28b
oo5boo35bobb3obo27bobo42bo4bobb3o4b3o$28bobo4bo37b6o30bo41boo5boob5ob
3o$28bo3bo118bobo3b3o4booboo$31boo31bo6boo90bobo$32bobbo27boo5bobbo79b
3o6bobbo$23boo38bobo3boobo79b3o7bo$23bobo3b3o35bo29boo55bobob4obbo$23b
o3bo4bo33bo30boo44b3o10booboo$26boo38bobbo15b3o68b6o$26bo5bo52bobb3o$
86bobo59bo$91bo7boo$89bo8boobo48b3o$91bobo5b5o46bo$84boobo6bo4boo3bo
43boo$83boo3bobbobbo4bo5bo42b3o$77b3o4bobbobbo3bo4bo5bo36bo6bo$77bo6bo
bbobbo3bo10bo36bobo$80bo3bo6bobo6booboo40boo$77bobbo8boo11bo38bo3boo$
78bobbo6b3o50booboo$79bo5bo3bo51b4o$81boboboobo45boo7bo$83boo49boo$87b
o$$84bobbo20$153boo$152boo$154bo3$192b3o$178bo13bo$176b5o4b3o6bo$175b
3oboo4bo6bobo$176bobboo5bo4boob4o$177b3o8b4ob5oboo$178bo10boo7boobo$
167bo$166boo$166bobo$$169boo$169boobb3o50boo$173boobo48boo3bo$171bo4bo
50boboo$170b3o4bo51b3o$170bo5bo52bo$157boo12bobobboo53b3o$156boo66boob
o4boo$158bo9b3o32boo3bo15boboo3bobo$160boo6booboo30boo4bo8boo4boboo3b
3o$160boobboobbob3o36boo6boo6bo5b3o$163boobobboo35boo10bobo4boo4bobo$
164bo4boo36boo9b3o4boobboo$161boo3bo39bo11boo6bobo$161boo42bo5bo8bobo
3boo3bo$161bo44bo4boo13b4o$162booboo39bo5bo9bobo$164bobo44b3o10b4o$
211boobo9b4o$211b3oboo8boo$212booboo$213boboo$213boo$244boo$244bobo$
237boo5bo$237bobo3boobbo$237bo11bo$240bo3boo3b3o$240boo4boo4bo$246b7o$
208b3o36b4o$208bobb3o$209bobo$214bo$212bo$214bobo$207boobo6bo$206boo3b
obbobbo$200b3o4bobbobbo3bo$200bo6bobbobbo3bo$203bo3bo6bobo$200bobbo8b
oo$201bobbo6b3o$202bo5bo3bo$204boboboobo$206boo$210bo$$207bobbo8$215b
oobo$215bo3bo$215bo4bo$217boo$219bobo$$214bo6boo8boo$213b5o4bobbo5bobo
$207boo4bo6boo10bo$207bobo11bo$207bo5boboo6bobo$208boo4bo4bobo$208bobb
o6b3o$208bo6booboo$210bobobobbo$$212bo4bo$213b4o18$260boo$260bobo$261b
o27$289boo$289bobo$290bo!
The forward pointing boats are able to turn incoming sideways gliders into forward gliders.

Code: Select all

#C A period 116 c/4 boat puffer turning sideways gliders from a
#C period 116 sideways rake into forward gliders.  The forward
#C gliders cleanly delete the next sideways glider, resulting in
#C a period 232 spaceship.
#C David I. Bell, November 2023
x = 408, y = 323
221b3o$221bo$222bo$224boo$225bo$220b3o$220bo$223boo$220bobboo$223bo$
218boboo$217b3o3bo$216b3obo3bo$203boo10b4obobbo$203bobo10bo$203bo6boob
oboboo$206bo3bo4bo$206boobbo$206boo4b3obobo14boo$186boo8boobbo6boo3boo
3bo15bobo$186bobo6boo3b4o4boo23bo$172boo12bo4bo4boobb5obo29bo$171boo
17boo3boo12boo24bobo$173bo6b3o6boo3boo5boobobo28bobo$175boobb3obo3bo3b
obobbo3bo8boo24bo$175b4o4bobbobbobobobbooboo3bo3boo25bo$177b3o3bobbo4b
obobboo3bobo6bo8boobo8bo3bo$178bo8boo6boobo20bo3bo6b3obo$174b3oboobobb
oobb3o3bob4o13b3o3bo4bo4boo$174b3obbobobboobb3o9boboobo7bo3bo3boo5boo$
178bobbo5b4o6boobo3boobobboo4boo11bo$173boo4bo8bo3bo11bo3bo3bo4bo$173b
o10bobbo4bo15bobb4obboo3b3o3bo$180bo3boo9b3o11bobbo3bo5bob4o$179b4obbo
9bo13b3o5bobobboboobo$179bo4bo5bo5bo21b3o6bo3bob3o$178b3obboo4boo7boo
9b3o7b3o9bobo$182bo6bobobboo3bo20boo6boo5bo$184bo8b3o3b3o28bobboo$179b
ooboo9boboo4b3obboo$179bobobobo8b3o5bobboo$183boo6bo3boo6boo$180bobbo
5b4ob3o7b3o$183bo4boobobobo7bo$180boobo4bo14bo6bo$183bo5bo13boboobboo$
178boobobobo8b3o12bobo$178bobbobobbo17bobbobo$179bo4bobo6boo8bobbo3bo$
186boo5b3o7bobbo$183booboo4bo4bo8bo$183booboo9bo6boo$185bobo3boo$188bo
b3o$186bo3bo3bo16bo$191bo4bo13boo$188bo3boboobo7bo4bobo$184boo3bobb3ob
o7boo$175b3o5boo3boo3bo10bobo5boboo$175bo9bo5bo19boo$176bo3bo6bo6boo
11boobboo$178b3o7b7o12boobboo$177boobo3bo18bo4boo4boo$174boo4b4obo16b
4obb4o4bo$174bo5boobb3o6bo8bobb3o3b3o$168boo4bo7bob3o5b3o9bo9bo$164bo
3bobo5b3ob3obboo5b3o10b5obbo$163boo3bo9boboo3boo22bo4boo$163bobo5bo3b
4o3booboo23boo$171bobb3obo3bobbo$165b3o3bo3bo5bobboo$164b3o6boo5bo$
166bobo4boo$168b5obo4booboo22boo25boobo$169bo4bo4bobo24boo25bo3bo$167b
obo12boo49bo4bo$166b5obb3o6b3o50boo$165bobo4bo9b3o52bobo$164boobob3o4b
3o3boobbo14boo$166boo5bobb3o3boo3bo12bobo29bo6boo$171boboobo6bo3bo12b
oo29b5o4bobbo$166bo6boo9bo16boobo20boo4bo6boo$166bobo3bo12bo16b3ob5o
14bobo11bo$168bobboo7b5o18b5obbo14bo5boboo6bobo$164boo5bobo6bo5bo18bo
10bo9boo4bo4bobo$164boo7booboo3bob4o18b5o6bo9bobbo6b3o$161bo4bo5booboo
8bo19b3o8bo9bo6booboo$160boo4b3o6bo52bobobobbo$160bobo9bobboo9bobo23b
3o3b3o$164bo4bobobbo6boo3bobbo40bo4bo$163bo4bo3bobobbo3bobobbobbo26bo
14b4o$163bobbo6boo6bo3bobbo27bo$119b3o50bo11boobo28bo$119bo49boboobb3o
7bobo20boo$120bo47booboobo10bo22boo$122boo43bo3bo6bo7bo37bo$123bo42bo
bbo3bo3bo8bo36bobo$166bo4boobbo4boo6bo33bobbo$120boo43bobo3bo3boo3bobo
3bobo34boo$112b3o5boo43bo9bo4bo4boobo$112bo6bobo43boboo6boo6boboo$113b
o4boo46bo3bobooboo6bobbo$115b4obo47bobbo11bobo$116boo48boobbo4bo$120bo
45bobo6bo$119bobo46b3o3boo80boo$120bobo40boo3bo86boo$87boo73boo4bo3bo
3bo72boo5bo$86boo32bobboo39bo83boo5boo$88bo18bo12bobboo41bobb3oboo75bo
4bobobboo$67boo21boo14boo13bo44boobo71boo9boo3boob4o$66boo3bo6bo5boo3b
o16bobo9boboo95b3o32boo10bo$68boboo5boo5boo12b3o12boboboobo31boo12bo3b
6o41bobb3o41bo$70b3o3bobboboo3boo3bo4boo3boboo4boobobbobobo32bobo10bob
6o3bo41bobo37bo$70bo4b5o7bo7bobbobobbo6bobbobbo12bo22bo15b3obbo3boo44b
o34bo3bo$65b3o4boobbo5boo3bobbo3bo5bobob4o5boobo11boo6b3o16bo9boo5boo
47bo35booboo$65bo7b4obo10bo3boobo8bo3boobboo13bobo5bo18boo10boobboboo
48bobo31bo3boboo$66bo6bobbobo22bobobo3bobb3obboo18bo17boo8boo3boobo52b
o5boo24boob4o$22bo45b3obbo4bobobboo4bo3b3oboo3bo6bobboobbooboo4b3o11b
oo13boo8boo4bobo50bobbo5boo7bobo19boobbo$21boo50bo3bo4boobbobobob3obbo
3bo5bo4boobobbob3obbo12boo5boo6boo3bo7bo4bo51bobbo11boo24boobo$21bobo
7boo38boo3bobb3obb3o4bo4bo4bo7bobbob4obboboob3o3b3o11bobo3boobbobobob
ooboo5b4o48bobbo10bo5bo21bo$28boobo31b3o3bob4obo3boo3bo3b3obbo10bo3bo
bbo3bo3bobo3bo4bo5bo7bo5b3o4bo4boo7bobbo61bo27boo$24boobboo28boo3bo4b
3o5bo9b3o4bo3b5ob3o6bo8boobooboo3bo4bo10bo10bo12b5o47bobo11boobbo22b3o
$24boobboo28bobo5boboo8b3o4boobo4bo4boboo5bo5bo8b3oboobo4bobbo10boo11b
oo10bobbo49bo13b3o22boobbo35bo$25boo31bo3bo3bobo9boo5bo4bobbobbo17bo9b
oo7b3obbobo20boo12b3o72boo17bobo32b5o$25b4obo5bo9boo13boo3b4o8boo15bo
18bo56b3obobo42boo4bo23boo14bo3bobo31bobboo$24boboboobobb3obboo5bobo
12bo11boo96boboobo3bo38boo4boo39b6o34boobo$23boo8boobobbobbobo15b5oboo
3bobo9boo12b3o26boob4obbo35boboboo3boo39bobboboo40b3o$23boo3b3o3bo5bo
3boboo15booboobbo3bo8bobo3b3o5bo29bo3bo36boo5bo6bo40booboo81bobo$23bo
10bobbobo23bobooboo3bob5o3bo5bo8bo29bo38boo7bo3bo$24b3o9bobb9obboo6bo
4bo4bo4bob6obbobo4bo9b3o66bo10bo36b3obbo30boo47b3o6b3o$28boobbooboobo
bbo6boboo5boo3boboo4bo5boo3bobobo6bo80boo5boo35bobb3obo27bobo42bo4bobb
3o4b3o$28boo3boo5bo5bo5bo4bobo3b8o11bobboo4b4o4boobo70bobo4bo37b6o30bo
41boo5boob5ob3o$19b3o3boo20b5obbo9b5o9bo5boobb3o4boob4o71bo3bo118bobo
3b3o4booboo$19bo4bobbobbobo16b4o7bo6bo11boo11boo82boo31bo6boo90bobo$
20bo6b5o11boo8bobbobobbo5bo20bobbo5b3o77bobbo27boo5bobbo79b3o6bobbo$
23bobobb3o5boo4boobo11boobbo5bo21boo77boo38bobo3boobo79b3o7bo$22boo4b
3o4boo5bo10boo6bo7boo97bobo3b3o35bo29boo55bobob4obbo$21boob3o10bo3b3o
8boobo3bobobbo4boo97bo3bo4bo33bo30boo44b3o10booboo$31boo9bo7boboobboo
3bobbo9bo96boo38bobbo15b3o68b6o$24b3o11boo3bo4boo7boobbobbo9boo95bo5bo
52bobb3o$23bo4bo8boobobo3boboo4boboobboo10bo3bo154bobo59bo$20boboo3bo
5boobb7obbobbo6bo3bo5boo4bo3boo158bo7boo$19b4ob5o4bobo3b4o3bo8bobo7boo
boo6bo3boo152bo8boobo48b3o$19bobo3boobobobbo16boo4bo9bobobbo7bobbo153b
obo5b5o46bo$27boobo5bo30booboo4boo3bo147boobo6bo4boo3bo43boo$25bobbo7b
3o37b3obbo146boo3bobbobbo4bo5bo42b3o$19b3obboo3boo7bo37bobboo141b3o4bo
bbobbo3bo4bo5bo36bo6bo$20boobobbo11boo182bo6bobbobbo3bo10bo36bobo$20b
oobo5bo9boo22boo160bo3bo6bobo6booboo40boo$13b3o4boo4bobbo9bobob3obboo
12boo10boo146bobbo8boo11bo38bo3boo$13bo7bobobo4boo9boo4bo3bo5boo4bobo
5boobbo147bobbo6b3o50booboo$14bo14boo9bobobbo5bo4boo5boobo4boo3bo3bo
143bo5bo3bo51b4o$16b3obbobo15boobobbobb3o7bo5bobo9bobboo145boboboobo
45boo7bo$17b3o10bo8bo7bo12boobbobo10bobo148boo49boo$19boo4bo5boo27b4o
bbo11bo56boo95bo$20boboboo7boobo8b3o14boobboo66boo$15b3o4bobobo3bo3bob
o7boobbo6boo6bo4bo67bo92bobbo$15bo14bobobobo9bo7boo3b3oboo3bo69boo$18b
oo11b3o22bob4obbobo70bo$15bobboo8boobbo31bo$18bo9bo3bo25bo3bobbobo68bo
bbo$13boboo11bo29bo3bo4bo67boo$12b3o3bo11bobbo29bo70bo$11b3obo3bo9b4ob
o76boo17boobbobo$10b4obobbo13bobbo75bobo16bobobbo$11bo14b3o5b3o74bo14b
o3bobo$5booboboboo12bo8b3o54bo12boo5boo11boo4boo$oo3bo4bo18bo6boo53bob
o11boo5bobbo9bobo3boo$obobbo20bobbobb3o56bobbo5boo10bo17b3o14boobo$o6b
3obobo13bo4bo59boo6boo12bobob3o7bo3bo14bo3bo$3bo3boo3bo15bo3b3o87bo4b
oobbo15bo4bo$3boo28boo46b3o32bo9bo22boo$33bo47bobb3o30b4oboob4o22bobo$
33b3o46bobo18boo22boo$29bobbo4bo49bo14boobo40bo6boo$28b3o6bo47bo11bo6b
3o38b5o4bobbo$27boo9bo48bobo5b4o6bobo31boo4bo6boo144boo$26boo7boo43boo
bo6bo9bo3b4o31bobo11bo143boo$27bo51boo3bobbobbo4b4o5boo33bo5boboo6bobo
141bo$18b3o14boobo34b3o4bobbobbo3bo7bobo3b5o31boo4bo4bobo$18bo8bo7bobb
o34bo6bobbobbo3bo8bo8boo30bobbo6b3o$19bobb5o8bobo38bo3bo6bobo7b3o9bo
30bo6booboo185b3o$21bo51bobbo8boo10bobo42bobobobbo173bo13bo$22boo50bo
bbo6b3o10bobbo220b5o4b3o6bo$75bo5bo3bo12boo44bo4bo170b3oboo4bo6bobo$
77boboboobo60b4o172bobboo5bo4boob4o$79boo241b3o8b4ob5oboo$83bo239bo10b
oo7boobo$312bo$80bobbo227boo$311bobo$$314boo$314boobb3o50boo$108bo209b
oobo48boo3bo$107boo207bo4bo50boboo$107bobo205b3o4bo51b3o$315bo5bo52bo$
110boo190boo12bobobboo53b3o$110boo189boo66boobo4boo$303bo9b3o32boo3bo
15boboo3bobo$106boboo195boo6booboo30boo4bo8boo4boboo3b3o$105b4o196boo
bboobbob3o36boo6boo6bo5b3o$105bo3boo4boo191boobobboo35boo10bobo4boo4bo
bo$110bobb3obo191bo4boo36boo9b3o4boobboo$117bo188boo3bo39bo11boo6bobo$
109boo4bo190boo42bo5bo8bobo3boo3bo$109boo4b3o188bo44bo4boo13b4o$110bo
3bobbo18boo169booboo39bo5bo9bobo$110bo5b3o17boo171bobo44b3o10b4o$111b
oo3b4o236boobo9b4o$119b5o232b3oboo8boo$121b3oboo230booboo$118boobbo3bo
231boboo$126boo230boo$123booboo7boo252boo$125b3o7bobo251bobo$124bobo9b
o245boo5bo$125bo7bobbo245bobo3boobbo$132bo3bo245bo11bo$132bo3bo248bo3b
oo3b3o$132b3o250boo4boo4bo$134bo256b7o$353b3o36b4o$132b3o218bobb3o$
354bobo$132bobbo223bo$133boo222bo$359bobo$352boobo6bo$351boo3bobbobbo$
345b3o4bobbobbo3bo$345bo6bobbobbo3bo$348bo3bo6bobo$345bobbo8boo$346bo
bbo6b3o$347bo5bo3bo$165boo182boboboobo$165boo184boo$355bo$156bo$154b4o
194bobbo$133boobo17bobboo$133bo3bo12bo7boo18bo$133bo4bo8b4o7boo17boo$
135boo9b5o3bobob5o14bobo$137bobo11boo$156b4obbo32bo$132bo6boo15bo37b5o
$131b5o4bobbo4boo5bobo5bobo28bobboo161boobo$125boo4bo6boo6bob4o4bo6bob
o30boobo160bo3bo$125bobo11bo6bo4bo12bo195bo4bo$125bo5boboo6bobo4b3o18b
o29bobo160boo$126boo4bo4bobo8b3o60bo152bobo$126bobbo6b3o53b3o6b3o6b5o$
126bo6booboo49bo4bobb3o4b3o5bobboo144bo6boo8boo$128bobobobbo50boo5boob
5ob3o7boobo142b5o4bobbo5bobo$186bobo3b3o4booboo148boo4bo6boo10bo$130bo
4bo62bobo14bobo134bobo11bo$131b4o53b3o6bobbo151bo5boboo6bobo$187b3o7bo
10b3o6b3o133boo4bo4bobo$189bobob4obbo3bo4bobb3o4b3o16bo115bobbo6b3o$
191booboo6boo5boob5ob3o15b5o112bo6booboo$191b6o5bobo3b3o4booboo16bobb
oo114bobobobbo$214bobo21boobo$204b3o6bobbo140bo4bo$203b3o7bo27bobo114b
4o$205bobob4obbo$207booboo22b3o6b3o$207b6o16bo4bobb3o4b3o$228boo5boob
5ob3o$228bobo3b3o4booboo$240bobo$202b3o25b3o6bobbo$204bo24b3o7bo$203bo
27bobob4obbo$233booboo$233b6o$$145boobo66bob4o$145bo3bo65boo4bo$145bo
4bo64bo3boboo$147boo67b3obo$149bobo$201bo203boo$144bo6boo48bo203bobo$
143b5o4bobbo14boo29bo26boo56boo56boo56boobbo$137boo4bo6boo15bo3bo55bob
o55bobo55bobo55bobo$137bobo11bo15bo3bo57bo57bo57bo57bo$137bo5boboo6bob
o11bobo$138boo4bo4bobo16bo$138bobbo6b3o16bobo$138bo6booboo17bobo26b3o$
140bobobobbo19bobbo25bo$168boo27bo$142bo4bo21bo29boo$143b4o53bo$$197bo
$194b4obo$194bo4bo5bo$195bo4boobboo$197bobb3obobo$201booboo$198booboo
bboo$199boboo$199bobobbobo$200boo4boo$208booboobo$208bobboobo$207boo6b
o$212boobo$215bo$212bobbo$215bo$213boo4$216bo$215boo$215bobo!
BCNU,
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dbell
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Re: Spaceship Discussion Thread

Post by dbell » November 27th, 2023, 12:04 am

Here is a bit more diagonal c/4 stuff.

Many reactions for diagonal c/4 period 116 (and multiples of) puffers produce unwanted products. It would be nice to have a way to clean them up. Only one of the small diagonal c/4 period 4 spaceships has an edge spark and its use is very limited.

A MWSS rake whose output is deleted by one of the small period 4 spaceships produces a nice bit of smoke which can almost reach out to delete something.

Code: Select all

#C A diagonal c/4 spaceship can delete a MWSS to create some smoke.
#C The smoke only reaches the same diagonal column as the c/4 spaceship
#C so that the reaction cannot be used to perturb static objects as the
#C spaceship passes by.  However, the reaction might be still be useful
#C to perturb an object which is growing.
x = 18, y = 16
bb3o$bbo$3bo$5boo$6bo$15bo$3bo9bo3bo$4obo6bo$o4bo6bo4bo$bo4boo4b5o$3bo
bb3o$7boo$4booboo$5boboo$5bobo$6boo!
To make something more useful, I combined glider and MWSS rakes to produce smoke which reaches out past the diagonal columns of the rakes. There are a few ways a glider and MWSS can produce smoke, but this is the largest reaction I found.

Code: Select all

#C A diagonal c/4 period 116 spaceship which creates a large cloud
#C of smoke many diagonals away from the main body of the spaceship.
#C The smoke is produced by reactions between the output of a glider
#C and a MWSS rake.  This smoke can be used to delete or perturb
#C static objects produced by the output of a dirty period 116 (or
#C multiple of) puffer.  Other arrangements of the rakes can produce
#C other types of smoke.
#C David I. Bell, November 2023
x = 450, y = 443
288boo$288bobo$288bo$291bo$291boo$287boobboo$287bobboo$287bob3o$288bo
bbo$287bo$285b3o$284boo$283boob5o$282boo$269b3o9boo3bo$269bo11bobobo$
270bo5b3oboobo$272boobbobbo3bo$273bo4bo4bo$263bo13boo4bo15b3o$252b3o7b
oo11b5o19bo$239bo12bo9bob5oboboboobo22bo$238boo13bo3boo4bob3obb3obbo
26boo$238bobo14boob3o6boo32boo$245b3obo6boboob6obobbo4bo$241boobboobb
3obb3obo4boo4bo5boo23bo$241boobboo3b4o4bobob3o3bo6bobo20bo4bo$242boo6b
o4boboo9bo16b3o9b3obobo$242b4obo3bo3boboo3bo17boo3bobb3o5booboo$176bo
64boboboobo7b3o3bob3o12bobbo6boo4boo$175boo63boo8boobbo3bo5boobboob3o
4bo3bo11boo$175bobo62bobobb3o4boo3b3o8boo5b6obbobo9boo$239bo17boo12boo
bo4bo10bo3boo$178boo60boo8bobbo8boo19boo3boo3b3o$178boo66booboobbo8bob
o13bo4bobbobbobbo$246bobo13bo12b3o9b3o3bobo4boo$169bo6boo67bobboobbo3b
oo5bobo10bobo6b3o7boo3bobo$168boo5bobbo66b3o7boo4bo35boo$168bobo3boobo
67booboobo5bobbo4b3o27bob4o$172bo73bo12boo12bo22boobbo$171bo74bo3bo8b
oo6boboboobo$171bobboo70bo3bo9bo8bobbobo$176bo70boobo8boo10boo$175bobo
69bo7b4obobbo$176boo70bo5boobobobo7boo$142b3o32bobo68bo7bo4b3o5boo5boo
$142bo36boo64boo3bo20bo3boo$143bo18boo12b5o64bobobboo9bo9boo3bo$122b3o
20boo15bobo10boboo66bo24bo4boo$122bobb3o5boo5boo4bo8bo6bo10booboo72b3o
6boo10bo$123bobo7b3o3boo12b4o8bo4bobbobboo72b3o6bobboo6bo$128bobbo3boo
4b3o8boo3b4o4b5obobobo73bo8bob3o8bobbo$122bo3bobbobobb4obo3boo6b3oboo
5bobb5obboo10boo7bo56bobobbobboo12bo$121boo5boo5bo8bo4boo4bobob4obboob
o15bobo5boo57boo4bo$121bobo8bo16b3o5b3o4b3o6bo10bo7bobo57b3o4boo$125bo
bboobbobo17boo4bobo3boobo3b5o6boo71boo4bo15boo$77boo46bobb3o3boobb3o4b
obbobb4obboo5bobbo3boo3bo4boo12boo64boo13boo$77bobo45b3obo3boo3bo3boob
4o4boobboo5bobbo6bo3boo8bo5b3o54bo5boobboboo6boo4bobo$77bo8b3o31bo5boo
bb4obo3booboo6boo12bobboobobbobbobb3obo3boo5bo47boo6boo3boobboboo7boo
5boobo$80bo3booboo30boo3boo3bobboobobobbo3b5o4b3oboobbo5boo3boobbo7bo
bbobo52bobo5bobobbobobb3o9bo5bobo$80boobo30boo3bobobo3b3obobo3bo6bobob
3obboobboob3o5boo10bo3bo7b3o47bo11bobbo16boobbobo$83b3o27boo11bo6boobo
4bobboobb3o3bobboobo8bo7boo4bo6b5o51b3o5bo3boo14b4obbo$115bobbobboo10b
o7boo7bo18boo9b3o6b3o52boob4o11bo13boobboo$80bo3bobo5bo9boo13boo3boboo
8boo54bo53b3o4bo3bo13boo6bo4bo$79boobob3obboobooboo4boo18bo6b3o23bo31b
oo52b3o5boobo5b3o8boo3b3oboo3bo$83bo5bobbobbobobobbo13boobboboo4boo9b
oo5bo6boo27b3ob3o51bobbo4b3o19bob4obbobo$78bo6bo4bo3b3obbobo15bo7boob
7o3boo5boo6bobo26booboboo45b3o4boboobooboo9b3o15bo$79bo5bo5bobboobbo
19boobooboo3bo6boboo5bobo9bo72boobbo9booboboobb3o4boboo8bo3bobbobo$80b
oo7boobobbob7ob3o5boo3boobb3o11bobbo17bo71boo4bo8boo5bo3bo5bo10bo3bo4b
o$81bob3obboob3o5boo4boobo4bobobbo7bo4bo3b3obobo6bo6bobbo71bobo4boob3o
3bo3bo4b3o19bo$76bo6b3obb4o16bo4bo12bo6bo4boobbobb7obbo75b3o5booboobo
3bobbo3bobbo$75boo4b5o3bo13boo4bo9bo15bo4b3obboo4bobbobbo72boo10bo5boo
6bobo$75bobo3bobobbo21boo11b3o11bo8bob3o3bo79bobo5boboo4bo7boo$80boboo
14b3o5b3o5b4o7bo19b4o5bo80bobo4boobbobbo11bo$78b3o10b3o4bo10boobboob3o
6bo19boo7bo79boo4b3obbo3bo9boobo36b3o$77bo4b3obo4bo8bo7b3o3bobboo6bo
107boboboobobo3bo12boo38bobb3o$77booboo3b3o4bo4bobo7bo3boo4boo118bobbo
7boo8boo40bobo$79bo14bobbo7bob4oboo3boo113boo13b3o7booboo43bo$80boo11b
3ob3o3boobobbobobbobboobobo108b3obbo6boobb3o12bo40bo$78boob3o22bo4boob
4o3bo112boobo5bobo6boo8bo42bobo$75boo4bo7booboo5bobooboo10boo6boo105bo
3boboobobo6boboo5bobbo36boobo6bo$75bo4bo3boobboo9bo6bo4bobo9bobbo105bo
7bo10bo45boo3bobbobbo$75boboobo9bo5boo14bo10bobo13bo93boo7bo5bobboo20b
3o15b3o4bobbobbo3bo$81bobbo7bo31bo14boo92bo4b4o5bo4bo19boo17bo6bobbobb
o3bo$76bo3b5obo5bobo42bobboo89b3o3booboo5bobb4o18b3o19bo3bo6bobo$75bob
oob3obbo50bo4bo89bo8boo5bobo3bo12boo23bobbo8boo$79bobo3boo7bobo38bobo
bb3o88bobo7boboo8boo11boo24bobbo6b3o$70bo4bo24bo17b3o22bo83boo4bo5boo
bboo7boo28bo10bo5bo3bo$69boo9bo4bo9boboboo3bo13bo22boo83boo5bobo3bobb
oo9bo27bobo11boboboobo$69bobo4b3o8bo13boobobo5b3o6bo14b4o88bo4b3obbobb
obo9b3o24bobbo13boo$73bo6bo4b3o7booboobboboobo4bo6bobbo16bo90boo6boo3b
o3b3obbo3bo24boo18bo$72bobbo9boo8boo5bob3o6bo6boboo11bob3o90boo7bobo5b
o3bo$72bo14bo7boo7boo9boo3boboo10booboo100bo3bo4bo49bobbo$76boobboo5b
3o13bo12bo3bobo11boobo52b3o45boobobo7booboo$72bobboo3bobo4b4o9b4o16bob
oo8b3oboo52bo44b3oboo11bo$71boo4bobbo6bobboboo6bo9b3o3boo6bo7boo10boo
45bo42bo4bobbobo6boo$71boboo11bobobo10bo8bobboobbob3obo15bobobb3o5boo
39boo38boobobobbobo8boo$74boo9boo24bobbobboobo17bo6boo5boo40bo37bo3bo
3boo11bo$73bo10boo27boobooboobo16bo4b3o85bobo6bobobb3o4b3o$70b6o7boo
34bobbo17boobb3o44boo42bobobo3bobbo5bo$68boobobo11bo32boobbo23bo44boo
38booboo4boo5bo4bo43boo$67bo4bo13boboo56b3o41bobo38boo3bo3boo7boo44bo
bbo$66bo4bobboo9boobobo76boo17booboo41booboobbobobo6bo45bobo$66bobbo
13b4obo3bo51bo5bo15boo17booboobo40boo5bobobo6bo46bo$65bo4bo11boo6bobbo
50bo5bo16bobo11boo3boboo42boobo5bo$61boobboobo13bobo5bo53bo5bo16b3o11b
obobbobbo45bo5b3o56boo21bo$56boobboo3bobo21boobbo73boo12bo7bo40bo4bo5b
o58boo20boo$55boo5bob3o17bo3boo56b3o20bobo3bo10bobbo13boo24boo3boo5boo
73bo5bobo$57bo4boobobbo14boobbo87bo7b4obo13boo3bo21bobo3b5o75boo$59boo
bbobobbo19bobo47bo32bobobo7boo19boboo25boo3boo60bo14bobo3boobobo$59boo
76b5o14bo16b3ob3obo24b3o23bo6bo58booboo16bo7boo$88bobbo45bobboo13bobo
15b3o5bobbo21bo32boo43boobo10bo19bo4bo5boo$88b3o48boobo11bobbo16boo8bo
23b3o21bo4b3obbo41bo3bo8boo19bobbobb6o$84b3obboobo62boo44boobo4boo7b3o
11bobbobbo45bo4bo8boobo$83bobbo6boo47bobo56boboo3bobo7bo13bobbo4bobobo
41boo12bo$82bo9boo101boo4boboo3b3o8bo12bobo9bo43bobo33boobboo$82bo52b
3o6b3o47boo6bo5b3o10boo10bo3b3o68boo14bob4o$75bo6boo9bo36bo4bobb3o4b3o
47bobo4boo4bobo11bo11boo3b3o48boo16boo14bo4bobo$74boo15b3o35boo5boob5o
b3o47b3o4boobboo23b6obb3o49bobbo37bo$74bobobb4o7boobbo34bobo3b3o4boob
oo48boo6bobo13boo3bo5boobbobbobbo90b3o$78b5o9bo48bobo32boo19bobo3boo3b
obb3o5boobbobo4bo6boboo49boobbo$77bo3bo49b3o6bobbo32boo25b4o4bo6bobo3b
obb3o3bo56bo40bo$78bo51b3o7bo39bo18bobo10bo4boo6b3o4bo6boobo$132bobob
4obbo36b3o19b4o9b4obo19boo50b3o37boobo$134booboo39boo21b4o10boo10bo11b
3obo87boob4o33boo$134b6o37boobobbo18boo23bobo10bobbo43bo4boo12boo24bo
bb4o31boo3bo$176booboobbo53boobbobboo40boo21bo23boo37boboo$77boo100b3o
55boo4boobboo37bobobboo13bobbo64b3o$76boo100boo21bo33boboobb3obbo43b3o
14boo65bo$78bo122boo31b3o4boo4bo41bobbo14boo67b3o$80boo114boobbobbo30b
obo9bobo35boo20bobbo59boobo4boo$79bo116boo3bobo42bo37bobobboo15bo62bob
oo3bobo$76boo123boo36b3o42bobboboo16b3o53boo4boboo3b3o$75boo86boo74bo
6bobo39boo72boo6bo5b3o$76bobobbo81bobo74bobb3o37bo3b3o57boo14bobo4boo
4bobo$76b3obo82bo44bo33bobbo29boo5boo3boo57bobo14b3o4boobboo$76boo88bo
36bo5boo34bo28boo5bo64boo15boo6bobo$73boobo89boo34bobo29b3o39bo4bobo
81bobo3boo3bo$72bo5bo87boo15boo17bobo29bo9bo33boobbo88b4o$71bo3b4o86b
oo16boo18bo31bobb6o34boo17boobo66bobo$59bo10bobb3oboo82booboo71bo59bo
3bo42b3o22b4o$58boo10bobbo87bo4bo71boo57bo4bo40bobbo22b4o$58bobo5bo5b
oo87bob4o4boo126boo45bo23boo$65b6obo92boo3boobo127bobo38bo$61boobbobb
oobboo91boo4bo14bobo158bo$61boo4boobb3o15bo75boo4bobo12boo108bo6boo32b
oo8boo$42bo8boo35boo77bobboobo13bo107b5o4bobbo29boo5bo3bo$41boo8bobb3o
6boo3bo19bobo75boo121boo4bo6boo41boo$27boo12bobo7bo5b3ob3obbo99bo4bo3b
o113bobo11bo$27bobo15b3o4bo6bob5o25boo74bo4bo4boo110bo5boboo6bobo$27bo
7bo8boo3boo6b3obo28b3o80bobo3boo109boo4bo4bobo$30bo3bob3o4bo6boobboob
oo5boo24bo83bo5b3o107bobbo6b3o$30boobo3boo3b4obobo6b3o5bobo110b3o110bo
6booboo$33b3o5boo4bo3bobo3boo5bo10bo10boobobo87bo112bobobobbo$39bo3bo
6boo22b5o6bo5bo88bo3bo$30bo3bobo7bo3bo3bobo14boo3boboobo4bo3boo89bo
114bo4bo$29boobob3obboo3boobbo4bobo5bo6boobo5bobo3bobbo93bobbo111b4o$
29bo3bo6b3obbo6boob5obo3bo3b4o10bo97bo$28boo5bo4b3o5bo8boo4b4obbo15bo$
28bo6bo5boo3bobo15b3oboobbo5bo3bo$29bo8boo11boo19boo3b3obbobo$35b5o10b
oo13boo5boo5bobobbo$34boo3bo11bobo10boobo6bo3bo4b3o3boo$34bobboo5b3o4b
o12boo9boo6b4oboo$33bo5bo4bo8boo20bo8bo4boo$37bo7bobb3o4bo33bo$35bobb
oo7bobbo5boo3boo22boobbo$34b3o13bo6bob3obo148boo$35bo3boo9bo6bo154boo
159boo$35b4o6b3oboo9b3o309bobbo$36bobo4boobo3bo8boo312boo$36boo5bo4bob
obo5boo$36bobo5boo3b3o6bobo3b3o$34b3ob3o9bo9boobbo307bo5bo$33boo4boo
18b3o4bo138boo164b4obb3o$35bo5bo7bo9bobobboo138bobbo5bo156bo3boob3o$
39bobo6boo9boo143bobo6boo156booboo$38bobbo5bo3boo6boo135b3o6bo6boboo
149bo6boo$38bobbo5bob4o7bo151bobo149boo$39bobo4b5o152b3o6boo150bobo25b
oobo7b3o$43bo5bo152bo3bo185bo3bo6bo$40b6o3bo139boo201bo4bo7bo7boo$42b
3o5boo13b3o120boo3bo7bo5bo25boo159boo7bobo4boobo$45boobboobo12bo124bob
oo8bo3bo26bobo160bobo4b3obobboo$39boo4b3o4bo6b3o6bo123b3o38bo168bo3boo
bboo$31boo6bobobbo3bo10bo6bobbo122bo205boob4oboo$30boo7bo3booboobobo8b
o6boboo123b3o53boobo145b7o$32bo3bo5b5ob3o11boo3boboo116boobo4boo53bo3b
o$34boo11bo15bo3bobo117boboo3bobo53bo4bo$33bo4boo27boboo110boo4boboo3b
3o55boo$30boboobo4bo6bo9b3o3boo6bo108boo6bo5b3o57bobo$29b6oboobbo6bo9b
obboobbob3obo110bobo4boo4bobo$24bo4bobboo6bo6bo10bobbobboobo113b3o4boo
bboo55bo6boo8boobo$23boo6boobboo3bo19boobooboobo111boo6bobo56b5o4bobbo
5bo3bo$18b3obbobo10bobobo5bo19bobbo113bobo3boo3bo47boo4bo6boo9bo4bo
109boo$18bo11boboo4bobobboob3o16boobbo119b4o49bobo11bo11boo111bobo$21b
o4boobobobo5boo5bobob3o4boo126bobo54bo5boboo6bobo9bobo108bo$18bobbo4b
3o7boobo5bobobo6bobbo127b4o52boo4bo4bobo125boo$19bobbo5boo6b3o8bo4bo4b
oo128b4o52bobbo6b3o9bo6boo108bobbo$20bo15boo150boo53bo6booboo9b5o4bobb
o105bo$22boboo3bo3bo3boo10boo38bo155bobobobbo5boo4bo6boo19boobo88bobo$
24bob4o4boo52b5o165bobo11bo19bo3bo91bo$24boboobobo5boo49bobboo154bo4bo
5bo5boboo6bobo15bo4bo88bobbo17boo$21b3ob4obo7bo51boobo154b4o7boo4bo4bo
bo21boo90bobbo17bobo$20bobo16bo13boobboo200bobbo6b3o24bobo89b3o16bobbo
$20bo3boo6booboobo14boboboo34bobo149bo13bo6booboo113b3ob3o16boo$20bob
3oboo3boo5b5o11b3o186boobo14bobobobbo22bo6boo80b3oboobb3o17b3o$23boob
3obo8boobo12bo30b3o6b3o122bo21bo3boo42b5o4bobbo77bo7boo16bo$21b3o4bo
26bobo8b3o12bo4bobb3o4b3o121boo24bo3boo11bo4bo15boo4bo6boo82bo6boo15b
oo$21b3o16boo14b3o21boo5boob5ob3o121boo20bo3bobboo13b4o16bobo11bo85b5o
$26boo3bo4boobo16boo6bo5bo9bobo3b3o4booboo148bo3boboo30bo5boboo6bobo
83boo51bo$20bobo3boo3bo3boobboobo21bo5bo21bobo123b3o25bo6bo31boo4bo4bo
bo86boo40boo9boo$19boobo5bo8boboo23bo5bo11b3o6bobbo123b3o30bobo31bobbo
6b3o87boo22b3o14boo3bo6bobo$28boboboo9bo37b3o7bo122bo4bo24bobo4boo32bo
6booboo87bobo41boboo15b3o$15b3o4bo5b3o10bo24b3o14bobob4obbo120bo30bo
41bobobobbo88boo45b3o5bobo4booboo$15bo5boobobboobo54booboo126boo165bob
o44bo6boobobobo$16bo4boobobbobobboo3bo3b4o14boo24b6o126bo71bo4bo87bo
49b3obo6boboo$18b4obo3boo7boo3b4o14boo160boo67b4o89boo48boo7bo$19boo7b
obbo4bobo36bo125boo17boobo209boo5boo$28bo11boo32bobo123boo3bo17boo210b
5o$25boo4bo8b3o30bobbo125boboo16boo$24b3o3b3o41boo128b3o$22boo4bob3o7b
o163bo$22boobbobobobo7bobo163b3o$21bobobbobboo5bo162boobo4boo$22boboo
4bo4boo4b3o155boboo3bobo57boo56boo56boo$20boobboo4bo4bobo3bobo149boo4b
oboo3b3o58boo56boo56boo$20b5o3boboo8bo151boo6bo5b3o57bo57bo57bo$25bobb
o9b3o152bobo4boo4bobo$23b3obbobo8boo152b3o4boobboo$20bo3boo4bo162boo6b
obo49bo$21boo7bobo56boo104bobo3boo3bo45boo$24boo3boo57bobbo19boo88b4o
47bobo$18boo4boo3bobbo56bobo19bobo83bobo$18bobobbobboob3o58bo13boo5bo
87b4o52boo$18bo3bobbooboo62b3o9bobo3boobbo84b4o52boo149bo$21b5o3bo66bo
7bo11bo83boo202bo3bo$22bo67bo6bo9bo3boo3b3o132boboo148bo$29bo43boo15bo
6bo9boo4boo4bo130b4o149bo4bo$8bo17bobbo42boo3bo12bobo20b7o130bo3boo4b
oo141b5o$7boo11b3obb3obbobo41boboo7boo4bo4bo17b4o137bobb3obo$7bobo10b
ooboo7bo43b3o5bobbo3bo170bo$21bobo3boo3bo43bo7bobbo4bobo18b3obbo135boo
4bo$10boo10bobobboo49b3o3booboo4bo18booboo137boo4b3o$10boo14bo3bo48boo
5boo26boboboo135bo3bobbo13b3o$19b3o3bobo51boo38bobbo132bo5b3o$bo6boo3b
o5bo3bobbo52boo11boo26b3o133boo3b4o$oo5bobbobobobboboo6b3o49boo11boo7b
oo17bo143b5o$obo3boobo3bobb3o8bobbo48boo20boo163b3oboo$4bo9b3o11b3o49b
oo38boo141boobbo3bo6boo$3bo12bo10bo3bo49bo38boobobo145boo5boo$3bobbo
10bo12boo48bo42bo3bo140booboo7bo$17bo9bo4bo42boo43boo5bo32boo108b3o5b
oo$26b3obbobbo40bobobbobo39b5o32boo3bo104bobo$28bobo4boo38bo3bobo79bob
oo105bo4bo$23boobbobbobbobobo40boobbo80b3o108boboboo$23bo6bobobboo42bo
bo81bo111boobbo$23bobo9bo37boo3boo20bo64b3o108b3o$29bo6bo35boobob3o20b
oo56boobo4boo103boo4bo$28boo6bo37bobo22bobo56boboo3bobo103bobo$28bobo
bboo105bo11boo4boboo3b3o103bo$32b4o35boo67bo10boo6bo5b3o$32boboo27b3o
5boo3bobo16b4o41bo11bobo4boo4bobo$24bo38bo6bobo21bobb3o52b3o4boobboo$
23boo39bo4boo24bo3bo52boo6bobo34boo178bo$23bobobb5o33b4obo23bobbo39boo
14bobo3boo3bo30boo3bo173bo3bo$27b6o34boo17boo8b3o40b5o16b4o34boboo172b
o$26bo3boo53boo3bo47boo3bo12bobo41b3o171bo4bo$27bo59boboo48bo3bo14b4o
38bo173b5o$89b3o48bobo15b4o40b3o$89bo46b3obbo17boo34boobo4boo$91b3o42b
obo56boboo3bobo$84boobo4boo42bobboo48boo4boboo3b3o$84boboo3bobo43b4o
47boo6bo5b3o$78boo4boboo3b3o43bo4bo46bobo4boo4bobo$77boo6bo5b3o43boobb
o47b3o4boobboo$78bobo4boo4bobo36boo57boo6bobo$78b3o4boobboo39boo59bobo
3boo3bo$78boo6bobo108b4o$80bobo3boo3bo101bobo$86b4o94boo9b4o$82bobo96b
oo3bo8b4o$84b4o90boobo5bo8boo$84b4o90bo3boobboo$85boo91bo3bo$179boboo$
180bobo$182b3o6$348bo$346bo3bo$345bo$345bo4bo$345b5o3$161boo$$159bo3bo
$159bo$153boo3bo3bo3b3o$153bobobbobbo7boboo$153bo5bobo6boobbo$170bobbo
$170bobbo$171bobo$172bo3$165boobo$165bo3bo$165bo4bo$167boo$169bobo$$
164bo6boo$163b5o4bobbo$157boo4bo6boo37bo$157bobo11bo25bo10boo109bo$
157bo5boboo6bobo19boo5bo5bobo106bo3bo$158boo4bo4bobo24boo3boo113bo$
158bobbo6b3o30bobo3boobobo103bo4bo$158bo6booboo35bo7boo101b5o$160bobob
obbo36bo4bo5boo$204bobbobb6o$162bo4bo3boobo$163b4o4bo3bo$171bo4bo33boo
bboo$173boo35bob4o$175bobo32bo4bobo$218bo$170bo6boo38b3o$169b5o4bobbo$
163boo4bo6boo39bo$163bobo11bo$163bo5boboo6bobo35boobo$164boo4bo4bobo
29bo9boob4o$164bobbo6b3o30bo10bobb4o$164bo6booboo31bo11boo8boo$166bobo
bobbo55bobo$229bo$168bo4bo$169b4o$210b3o$212bo$211bo$$290bo$288bo3bo$
287bo$287bo4bo$179boobo104b5o$179bo3bo$179bo4bo$181boo12boo$183bobo9bo
bo$$178bo6boo$177b5o4bobbo$171boo4bo6boo12boo$171bobo11bo11boo3boo$
171bo5boboo6bobo5b3o3bobbo$172boo4bo4bobo9bo6boo$172bobbo6b3o10bo$172b
o6booboo$174bobobobbo$$176bo4bo$177b4o8$197bo63bo$195boo62bo3bo$196boo
60bo$258bo4bo$258b5o25$232bo$230bo3bo$229bo$229bo4bo$229b5o25$197bo5bo
$195boo4bo3bo$196boobbo$200bo4bo$200b5o!
Here is an example of the use of the smoking spaceship.

Code: Select all

#C The cleanup of the blinkers produced by a diagonal c/4 period 232
#C blinker puffer using a diagonal c/4 period 116 spaceship which
#C produces a cloud of smoke.  Different reactions using the smoke
#C can convert the blinkers into a variety of products.
#C David I. Bell, November 2023
x = 793, y = 689
233bo$232boo$232bobo$$235boo$232bobboo$231boo$231boboo$234boo$233bo$
230b6o$228boobobo$227bo4bo$226bo4bobboo$214boo10bobbo$213boo10bo4bo$
215bo5boobboobo$217booboo3bobo$216bo5bob3o$222boobobbo15boo$197boo7b3o
bbobo3bobbobbobobbo14boo$196boo8bo3bo4bo3boo24bo$182b3o13bobboo5bobbo
3bo3bobo25bo$182bo9bo7bobobbobbobbo3bo30bobo$183bo6bobbo6bobbobo6bo32b
oo$185boobboo3bo4boobobobbooboobbobobb3o23boo$186bo7booboo3bob3obb4o6b
o25b3o$190bo6bobobo3bo4boo8bo9boo9b3oboo$186boo3bo3b5obo3bo4bo14bo3boo
3bo5bobbo$185boboboo4b3o3bo5boboo13boo3boboboo4bo$119b3o63bobobboboob
3o4bo4bo3booboboo5booboboo9bo$119bo64bo4boo7bobboo7bobo3boo4boo3b3o9b
oo$120bo63boo16bo12boob4o12bo$122boo60boo9boo10bo11boobo4b3o3boboboo$
123bo66boobb4o8boo11boo6bo4boo4boo$190bobobobo9bobo11b3o5bob3obbobboo
5bo$120boo71boboo3boo35bo6boo$112b3o5boo67b3obboo4bobo3bobboo10bo7bo9b
obobbobo$112bo6bobo68bo4bo4bo3bobo14bo8bobo7booboo$113bo4boo72boo9boo
5bobo27bo4bo$115b4obo69b5o9bo9bob3o$116boo72bobo15bo3bo3b3o$120bo70bo
bbo7b3o3bo5bo$119bobo71boo4boo3bo11bo$120bobo68booboo3bobboboboo6bobo$
87boo105boo3bobo11boo5boo$86boo32bobboo65bobobo11bo8bo4bobo$88bo18bo
12bobboo64b3obbo11bo8b3obbo$67boo21boo14boo13bo67bo4bobbo6bo14boo$66b
oo3bo6bo5boo3bo16bobo9boboo75bo6bobo7b5o$68boboo5boo5boo12b3o12boboboo
bo73boo7bobbo9b3o$70b3o3bobboboo3boo3bo4boo3boboo4boobobbobobo74boo3bo
4boobo7bobo$70bo4b5o7bo7bobbobobbo6bobbobbo12bo64bo4bobboo12bo$65b3o4b
oobbo5boo3bobbo3bo5bobob4o5boobo11boo6b3o56booboobobo$65bo7b4obo10bo3b
oobo8bo3boobboo13bobo5bo60boobooboo$66bo6bobbobo22bobobo3bobb3obboo18b
o62boobo17boo$22bo45b3obbo4bobobboo4bo3b3oboo3bo6bobboobbooboo4b3o11b
oo61boboobo13bobo$21boo50bo3bo4boobbobobob3obbo3bo5bo4boobobbob3obbo
12boo62boobobbo6boo4bo$21bobo7boo38boo3bobb3obb3o4bo4bo4bo7bobbob4obbo
boob3o3b3o53bo6b3o3bobbo3bo7bobo4bobo$28boobo31b3o3bob4obo3boo3bo3b3o
bbo10bo3bobbo3bo3bobo3bo4bo5bo48boo6bo4b3obboo9bo6b3o$24boobboo28boo3b
o4b3o5bo9b3o4bo3b5ob3o6bo8boobooboo3bo4bo48bobo6bo3bo5bo12bo$24boobboo
28bobo5boboo8b3o4boobo4bo4boboo5bo5bo8b3oboobo4bobbo53bo7boo4boo11boob
obbo$25boo31bo3bo3bobo9boo5bo4bobbobbo17bo9boo7b3obbobo48boboo6b8o14b
4o$25b4obo5bo9boo13boo3b4o8boo15bo18bo73boo3b3o4b5o8boo8bobbo$24bobob
oobobb3obboo5bobo12bo11boo110boo6boobbo15bobbo5bob3o$23boo8boobobbobbo
bo15b5oboo3bobo9boo12b3o26boob4obbo48boo5bo11boo8bo3b4ob3o$23boo3b3o3b
o5bo3boboo15booboobbo3bo8bobo3b3o5bo29bo3bo47boo5bobobobbo4bo3bobbo9bo
6bo$23bo10bobbobo23bobooboo3bob5o3bo5bo8bo29bo45boobboo8booboboo3bo6bo
10b5o3b3o$24b3o9bobb9obboo6bo4bo4bo4bob6obbobo4bo9b3o71bobo3bo5bo4bobb
o3bobo16boobobo$28boobbooboobobbo6boboo5boo3boboo4bo5boo3bobobo6bo81bo
10bo3bo3boo5boo19bo$28boo3boo5bo5bo5bo4bobo3b8o11bobboo4b4o4boobo72boo
4b3obo3bobboo6booboo$19b3o3boo20b5obbo9b5o9bo5boobb3o4boob4o73bobbo4b
oobbo4bobboo7bo$19bo4bobbobbobo16b4o7bo18boo11boo81bo7boobo15bo$20bo6b
5o11boo8bobbobobbo26bobbo5b3o77boboboo3bo3b3o23boo$23bobobb3o5boo4boob
o11boobbo4booboo18boo87boob3oboo3b4o22boo26boo$22boo4b3o4boo5bo10boo6b
o120bobo5bobo50boo3bo$21boob3o10bo3b3o8boobo3bobo7bo107boo5bobo5bobbo
49boboo$31boo9bo7boboobboo3bo6boobboo106boobboo6bo54b3o$24b3o11boo3bo
4boo7boobbo5bo3boobo100boo6b6o3bo3bo15bo34bo$23bo4bo8boobobo3boboo4bob
oobboo4boobboobbo100boobobb3o3bobobbo18boo36b3o$20boboo3bo5boobb7obbo
bbo6bo3bo5bobb4obo4boo95b4obboboo3bo5boboo11bo31boobo4boo$19b4ob5o4bob
o3b4o3bo8bobo8b3o3boo4bobbo95boo8bo5b3o15boobobbo24boboo3bobo$19bobo3b
oobobobbo16boo4bo22boo97bo6boo8bo19bo3boo15boo4boboo3b3o$27boobo5bo
145boo8boobbo16bo4boo15boo6bo5b3o$25bobbo7b3o36b3o98bobo3bobo6b6o17boo
bbo17bobo4boo4bobo$19b3obboo3boo7bo36bobo97boo5boboo5bo5bo17bobbo6b3o
8b3o4boobboo$20boobobbo11boo34bo3bo96bobo9boo6bobo18bo19boo6bobo$20boo
bo5bo9boo22boo9bo4bo91boo4bo5boo3bo7boo25bo5bo8bobo3boo3bo$13b3o4boo4b
obbo9bobob3obboo12boo6boo6boo91bobo3boo4boo38bo5bo14b4o$13bo7bobobo4b
oo9boo4bo3bo5boo4bobo4boo3booboo91bo6boo5b3o10bo24bo5bo10bobo$14bo14b
oo9bobobbo5bo4boo5boobo10bo14bo81bo7boobobo4boobbooboo41b4o$16b3obbobo
15boobobbobb3o7bo5bobo25bo81boo7boboo4boo3b5o24b3o14b4o$17b3o10bo8bo7b
o12boobbobo116bobo7bobboboo43boo$19boo4bo5boo27b4obbo68boo45boob3o7boo
boo18boo$20boboboo7boobo8b3o14boobboo66boo43boo5boo8bo21boo$15b3o4bobo
bo3bo3bobo7boobbo6boo6bo4bo67bo42boo3bob3o7bo37bo$15bo14bobobobo9bo7b
oo3b3oboo3bo69boo38bobobobo11boo35bobo$18boo11b3o22bob4obbobo70bo39boo
bboo15bo33bobbo$15bobboo8boobbo31bo111b3obb3oboo4boo40boo$18bo9bo3bo
25bo3bobbobo68bobbo36bo5boob3obboo4booboo$13boboo11bo29bo3bo4bo67boo
38booboo5bo6bobbo$12b3o3bo11bobbo29bo70bo41bobo$11b3obo3bo9b4obo76boo
17boobbobo40bobooboob3o5boobbo$10b4obobbo13bobbo75bobo16bobobbo41bobb
4ob3o7bo$11bo14b3o5b3o54bo12boo5bo14bo3bobo44boboo$5booboboboo12bo8b3o
52bobo11boo6boo11boo4boo44bobobo4boo$oo3bo4bo18bo6boo52bobbo5boo11bobb
o9bobo3boo46bo5boo79b3o$obobbo20bobbobb3o56boo6boo11bo17b3o14boobo22b
3obboo6bo79bo$o6b3obobo13bo4bo81bobob3o7bo3bo14bo3bo21bo85b3o6bo$3bo3b
oo3bo15bo3b3o87bo4boobbo15bo4bo21bo5b5o74bo6bobo$3boo28boo46b3o32bo9bo
22boo25b6o69boo7bo4boob4o$33bo47bobb3o15bo14b4oboob4o22bobo23b4o48bo
22boo8b4ob5oboo$33b3o46bobo17boo23boo48boobb5o42b5o19boo9boo7boobo$29b
obbo4bo49bo14b3o41bo6boo8boo12b3o4b3o41bobboo$28b3o6bo47bo10boo4b3o40b
5o4bobbo4boo13boo7b3o41boobo$27boo9bo48bobo5bobbo40boo4bo6boo10bo11bo
7bo3bo80bobbo$26boo7boo43boobo6bo4bobbo4booboo31bobo11bo12boo9bo3boo
50bobo32b5obo$27bo51boo3bobbobbo4boo7boboo31bo5boboo6bobo7bo12bobboobb
o56boo24bo6bo$18b3o14boobo34b3o4bobbobbo3bo5bobbo8boo30boo4bo4bobo21b
4oboobboo49b3o4boo8boo15boboo3bo$18bo8bo7bobbo34bo6bobbobbo3bo6bo10boo
30bobbo6b3o11bobbo7bo5bobo52b3o13boo23bo$19bobb5o8bobo38bo3bo6bobo7boo
10bo30bo6booboo4boo5boobbobo4bobbo3bo51b6o10bo24bobo$21bo51bobbo8boo
10boo3boo38bobobobbo5boo5bo5bobobboboo5boboo62b3o$22boo50bobbo6b3o11bo
58bo4bobo4b3ob4o10bo48bo11boboo23bobbo$75bo5bo3bo58bo4bo9boobbo9boo8bo
3bo48bo14bo23bobbo$77boboboobo60b4o10boo10b3o9boo51bo23boo14boboobo33b
oobo$79boo91boo10bobobo71boo14boobbobo32bo3bo$83bo98bobo3bo41b3o3boo
39bo5bo31bo4bo$181boo5bobboo37bo46bo39boo$80bobbo97bobbobbo3boo38bobb
oo46bo36bobo$178b3o4boo4bo42booboo41bo$178bo13bo36bo4bo79bo6boo$179bo
10boo36b4oboo27boo49b5o4bobbo$184boo4b3o35bo34boo42boo4bo6boo$108bo74b
oo6boo36boo3bo27bo44bobo11bo$107boo76bobbo39b6o73bo5boboo6bobo$107bobo
77b3o29boo6boo79boo4bo4bobo$187boo30bobo3boobbo78bobbo6b3o$110boo67boo
5boo31bo5b3o24boo45bo8bo6booboo$110boo66boo6boo34bo29boo45bo10bobobobb
o$180bobbooboo34boo18bo56bo$106boboo72boo57b5o66bo4bo$105b4o73boo57bo
bboo56b3o8b4o$105bo3boo4boo126boobo7boo49bo$110bobb3obo136bo46bo3bo$
117bo128bobo6boo47bobo$109boo4bo140boo42bobobbo$109boo4b3o17boo102b3o
6b3o6boo41boboo$110bo3bobbo17boo97bo4bobb3o4b3o6boo38bo3boo$110bo5b3o
114boo5boob5ob3o3boobo38bo5boo$111boo3b4o113bobo3b3o4booboo6bo37boobbo
bbo$119b5o121bobo47boobboo$121b3oboo108b3o6bobbo48boobo$118boobbo3bo
107b3o7bo53bo$126boo6boo100bobob4obbo42boo$123booboo6bobo101booboo46b
oo$125b3o7bo102b6o$124bobo$125bo6bo$131boobo$135boo$135boo$135boo$132b
obbo$90b3o39b3o$90bo42bo$91bo$93boo$94bo86boobo$89b3o89bo3bo$89bo91bo
4bo$92boo89boo$89bobboo91bobo$92bo$87boboo89bo6boo$86b3o3bo86b5o4bobbo
$85b3obo3bo70boo7boo4bo6boo$72boo10b4obobbo71boo7bobo11bo$72bobo10bo
87bo5boboo6bobo$72bo6booboboboo86boo4bo4bobo120b3o$75bo3bo4bo68b3o18bo
bbo6b3o121bo28bo10boo$75boobbo72boboo18bo6booboo123bo26b5o6boo$75boo4b
3obobo14boo29boobo14bo5bo18bobobobbo152bobboo8bo7boo$55boo8boobbo6boo
3boo3bo15bobo28bo3bo8boo3bobb3o181boobo5boo6b3obo$55bobo6boo3b4o4boo
23bo30bo4bo6bobo3boo3bo21bo4bo149bo13boo3boboo$41boo12bo4bo4boobb5obo
29bo29boo7bo8b3o4bo18b4o149boo7bobo6boo$40boo17boo3boo12boo24bobo30bob
o4bobbo6boo3bobo169bobbo11b3obo4bo$42bo6b3o6boo3boo5boobobo28bobo37bo
13bo3bo7bo24bo135bobo9b3o3bo4bo$44boobb3obo3bo3bobobbo3bo8boo24bo27bo
6boo4bo3bo4boo3bobo9bo22b5o133boo10bo7bo$44b4o4bobbobbobobobbooboo3bo
3boo25bo26b5o4bobbobbobbo4boo5b3obbobboboo21bobboo145bo6bo$46b3o3bobbo
4bobobboo3bobo6bo8boobo8bo3bo20boo4bo6boo7b3o12boobbo4bo24boobo$47bo8b
oo6boobo20bo3bo6b3obo21bobo11bo27booboo175bo$43b3oboobobboobb3o3bob4o
13b3o3bo4bo4boo25bo5boboo6bobo25boo28bobo$43b3obbobobboobb3o9boboobo7b
o3bo3boo5boo27boo4bo4bobo71bo$47bobbo5b4o6boobo3boobobboo4boo11bo27bo
bbo6b3o53b3o6b3o6b5o$42boo4bo8bo3bo11bo3bo3bo4bo39bo6booboo49bo4bobb3o
4b3o5bobboo111bo$42bo10bobbo4bo15bobb4obboo3b3o3bo30bobobobbo50boo5boo
b5ob3o7boobo109boo$49bo3boo9b3o11bobbo3bo5bob4o89bobo3b3o4booboo121bob
o$48b4obbo9bo13b3o5bobobboboobo33bo4bo62bobo14bobo$48bo4bo5bo5bo21b3o
6bo3bob3o26b4o53b3o6bobbo126b3o$47b3obboo4boo7boo9b3o7b3o9bobo84b3o7bo
10b3o6b3o106b3o$51bo6bobobboo3bo20boo6boo5bo84bobob4obbo3bo4bobb3o4b3o
16bo90bobo$53bo8b3o3b3o28bobboo87booboo6boo5boob5ob3o15b5o89b3o$48boob
oo9boboo4b3obboo114b6o5bobo3b3o4booboo16bobboo89b3o$48bobobobo8b3o5bo
bboo138bobo21boobo91bo$52boo6bo3boo6boo130b3o6bobbo113bobbo$49bobbo5b
4ob3o7b3o127b3o7bo27bobo85bo3bo$52bo4boobobobo7bo132bobob4obbo109boob
oo3bo$49boobo4bo14bo6bo127booboo22b3o6b3o78boo7bo$52bo5bo13boboobboo
127b6o16bo4bobb3o4b3o79boboobbo$47boobobobo8b3o12bobo147boo5boob5ob3o
85bo18boo4boo$47bobbobobbo17bobbobo149bobo3b3o4booboo83bobo18bo6b3o$
48bo4bobo6boo8bobbo3bo160bobo87bo19b3o4bobboobo7boobo7b3o$55boo5b3o7bo
bbo124b3o27b3o6bobbo86bo20boobo5b3obo7bo3bo6bo$52booboo4bo4bo8bo126bo
26b3o7bo88bobo20boboboobbo11bo4bo7bo7boo$52booboo9bo6boo126bo29bobob4o
bbo86bobo20bo3b5o3boo8boo7bobo4boobo$54bobo3boo171booboo89bo25boo3boo
3bo11bobo4b3obobboo$57bob3o153boo16b6o88boo25bo3boo3bo17bo3boobboo$55b
o3bo3bo16bo134b3o109boo28bo19boob4oboo$60bo4bo13boo64boobo65bob3o159b
7o$57bo3boboobo7bo4bobo63bo3bo65bob3o142bo$53boo3bobb3obo7boo70bo4bo
55bo8b4o143bo$44b3o5boo3boo3bo10bobo5boboo62boo58bo8boo144bo$44bo9bo5b
o19boo67bobo48bo5bo$45bo3bo6bo6boo11boobboo88bobo27bo$47b3o7b7o12boobb
oo62bo6boo18boo27bo$46boobo3bo18bo4boo4boo58b5o4bobbo12b3obo53boo56boo
56boo$43boo4b4obo16b4obb4o4bo51boo4bo6boo15bo4bo52bobo55bobo55bobo$43b
o5boobb3o4b3o8bobb3o3b3o54bobo11bo14bo3boo55bo57bo57bo$37boo4bo7bob3o
17bo9bo53bo5boboo6bobo10bo$33bo3bobo5b3ob3obboo8boo8b5obbo56boo4bo4bob
o14bo$32boo3bo9boboo3boo7bobbo11bo4boo53bobbo6b3o15bobbo$32bobo5bo3b4o
3booboobobo3bobo13boo57bo6booboo26boo18b3o$40bobb3obo3bobbo3bo5bo75bob
obobbo19boo6bo20bo$34b3o3bo3bo5bobboo114bo27bo$33b3o6boo5bo92bo4bo51b
oo$35bobo4boo99b4o53bo$37b5obo4booboo49boobo$38bo4bo4bobo51bo3bo90bo$
36bobo12boo24boo23bo4bo86b4obo431boo$35b5obb3o6b3o23boo25boo88bo4bo5bo
425bobo$34bobo4bo9b3o52bobo86bo4boobboo425bo$33boobob3o4b3o3boobbo141b
obb3obobo427bo$35boo5bobb3o3boo3bo18bo25bo6boo91booboo428boo$40boboobo
6bo3bo12bo4b3o23b5o4bobbo85booboobboo423boobboo$35bo6boo9bo14b3o3bobo
17boo4bo6boo90boboo138b3o286bobboo$35bobo3bo12bo12boobbo22bobo11bo90bo
bobbobo133b5o285bob3o$37bobboo7b5o14booboo7boo12bo5boboo6bobo87boo4boo
131boob3o286bobbo$33boo5bobo6bo5bo14bo8boobo12boo4bo4bobo99booboobo
125boo288bo$33boo7booboo3bob4o21bobo15bobbo6b3o100bobboobo413b3o$30bo
4bo5booboo8bo23bo8bo7bo6booboo100boo6bo411boo$29boo4b3o6bo34b3o5bo9bob
obobbo107boobo410boob5o$29bobo9bobboo9bobo22bo6bo127bo409boo$33bo4bobo
bbo6boo3bobbo40bo4bo107bobbo396b3o9boo3bo$32bo4bo3bobobbo3bobobbobbo
24b3o3b3o8b4o111bo396bo11bobobo$32bobbo6boo6bo3bobbo155boo398bo5b3oboo
bo$41bo11boobo30bo527boobbobbo3bo$38boboobb3o7bobo30bo528bo4bo4bo$37b
ooboobo10bo32bo140boboo374bo13boo4bo15b3o$36bo3bo6bo7bo23boo135bo11bo
3bo362b3o7boo11b5o19bo$35bobbo3bo3bo8bo23boo134boo15bo349bo12bo9bob5ob
oboboobo22bo$35bo4boobbo4boo6bo37bo119bobo10bo352boo13bo3boo4bob3obb3o
bbo26boo$34bobo3bo3boo3bobo3bobo36bobo131bo3bo348bobo14boob3o6boo32boo
$34bo9bo4bo4boobo35bobbo135bo355b3obo6boboob6obobbo4bo$34boboo6boo6bob
oo38boo488boobboobb3obb3obo4boo4bo5boo23bo$35bo3bobooboo6bobbo528boobb
oo3b4o4bobob3o3bo6bobo20bo4bo$37bobbo11bobo530boo6bo4boboo9bo16b3o9b3o
bobo$35boobbo4bo540b4obo3bo3boboo3bo17boo3bobb3o5booboo$35bobo6bo474bo
64boboboobo7b3o3bob3o12bobbo6boo4boo$37b3o3boo80boo391boo63boo8boobbo
3bo5boobboob3o4bo3bo11boo$32boo3bo86boo392bobo62bobobb3o4boo3b3o8boo5b
6obbobo9boo$31boo4bo3bo3bo72boo5bo456bo17boo12boobo4bo10bo3boo$33bo83b
oo5boo395boo60boo8bobbo8boo19boo3boo3b3o$35bobb3oboo75bo4bobobboo390b
oo66booboobbo8bobo13bo4bobbobbobbo$35boobo82boo3boob4o179b3o274bobo13b
o12b3o9b3o3bobo4boo$86b3o32boo10bo177b5o196bo6boo67bobboobbo3boo5bobo
10bobo6b3o7boo3bobo$21boo12bo3b6o41bobb3o41bo176boob3o195boo5bobbo66b
3o7boo4bo35boo$21bobo10bob6o3bo41bobo37bo183boo198bobo3boobo67booboobo
5bobbo4b3o27bob4o$21bo15b3obbo3boo44bo34bo3bo383bo73bo12boo12bo22boobb
o$24bo9boo5boo47bo35booboo383bo74bo3bo8boo6boboboobo$24boo10boobboboo
48bobo31bo3boboo380bobboo70bo3bo9bo8bobbobo$24boo8boo3boobo52bo31boob
4o385bo70boobo8boo10boo$23boo8boo4bobo50bobbo36boobbo381bobo69bo7b4obo
bbo$14boo6boo3bo7bo4bo51bobbo7boo28boobo382boo70bo5boobobobo7boo$14bob
o3boobbobobobooboo5b4o48bobbo7boo29bo350b3o32bobo68bo7bo4b3o5boo5boo$
14bo5b3o4bo4boo7bobbo64bo24boo349bo36boo64boo3bo20bo3boo$17bo10bo12b5o
47bobo12b3o23b3o349bo18boo12b5o64bobobboo9bo9boo3bo$17boo11boo10bobbo
49bo11bo3bo22boobbo35bo290b3o20boo15bobo10boboo66bo24bo4boo$30boo12b3o
61b4o26bobo32b5o287bobb3o5boo5boo4bo8bo6bo10booboo72b3o6boo10bo$40b3ob
obo42boo4bo13bobo23bo3bobo31bobboo288bobo7b3o3boo12b4o8bo4bobbobboo72b
3o6bobboo6bo$40boboobo3bo38boo4boo15boobo6boo12b6o34boobo292bobbo3boo
4b3o8boo3b4o4b5obobobo73bo8bob3o8bobbo$40boboboo3boo39bobboboo15boo7b
oo14b3o325bo3bobbobobb4obo3boo6b3oboo5bobb5obboo10boo7bo56bobobbobboo
12bo$37boo5bo6bo40booboo81bobo283boo5boo5bo8bo4boo4bobob4obboobo15bobo
5boo57boo4bo$36boo7bo3bo414bobo8bo16b3o5b3o4b3o6bo10bo7bobo57b3o4boo$
38bo10bo36b3obbo34boo43b3o6b3o285bobboobbobo17boo4bobo3boobo3b5o6boo
71boo4bo15boo$42boo5boo35bobb3obo31bobo38bo4bobb3o4b3o236boo46bobb3o3b
oobb3o4bobbobb4obboo5bobbo3boo3bo4boo12boo64boo13boo$42bobo4bo37b6o34b
o37boo5boob5ob3o236bobo45b3obo3boo3bo3boob4o4boobboo5bobbo6bo3boo8bo5b
3o54bo5boobboboo6boo4bobo$42bo3bo118bobo3b3o4booboo237bo8b3o31bo5boobb
4obo3booboo6boo12bobboobobbobbobb3obo3boo5bo47boo6boo3boobboboo7boo5b
oobo$45boo31bo6boo90bobo243bo3booboo30boo3boo3bobboobobobbo3b5o4b3oboo
bbo5boo3boobbo7bobbobo52bobo5bobobbobobb3o9bo5bobo$46bobbo27boo5bobbo
79b3o6bobbo243boobo30boo3bobobo3b3obobo3bo6bobob3obboobboob3o5boo10bo
3bo7b3o47bo11bobbo16boobbobo$37boo38bobo3boobo79b3o7bo249b3o27boo11bo
6boobo4bobboobb3o3bobboobo8bo7boo4bo6b5o51b3o5bo3boo14b4obbo$37bobo3b
3o35bo86bobob4obbo279bobbobboo10bo7boo7bo18boo9b3o6b3o52boob4o11bo13b
oobboo$37bo3bo4bo33bo89booboo248bo3bobo5bo9boo13boo3boboo8boo54bo53b3o
4bo3bo13boo6bo4bo$40boo38bobbo15b3o11boo55b6o107b3o136boobob3obbooboob
oo4boo18bo6b3o23bo31boo52b3o5boobo5b3o8boo3b3oboo3bo$40bo5bo52bobb3o8b
oo44b3o120b5o139bo5bobbobbobobobbo13boobboboo4boo9boo5bo6boo27b3ob3o
51bobbo4b3o19bob4obbobo$100bobo178boob3o134bo6bo4bo3b3obbobo15bo7boob
7o3boo5boo6bobo26booboboo45b3o4boboobooboo9b3o15bo$105bo176boo138bo5bo
5bobboobbo19boobooboo3bo6boboo5bobo9bo72boobbo9booboboobb3o4boboo8bo3b
obbobo$103bo319boo7boobobbob7ob3o5boo3boobb3o11bobbo17bo71boo4bo8boo5b
o3bo5bo10bo3bo4bo$105bobo4boo310bob3obboob3o5boo4boobo4bobobbo7bo4bo3b
3obobo6bo6bobbo71bobo4boob3o3bo3bo4b3o19bo$98boobo6bo4boo6bo297bo6b3o
bb4o16bo4bo12bo6bo4boobbobb7obbo75b3o5booboobo3bobbo3bobbo$97boo3bobbo
bbo4bo6boo42b3o251boo4b5o3bo13boo4bo9bo15bo4b3obboo4bobbobbo72boo10bo
5boo6bobo$91b3o4bobbobbo3bo11bo44bo252bobo3bobobbo21boo11b3o11bo8bob3o
3bo79bobo5boboo4bo7boo$91bo6bobbobbo3bo49b3obbobo257boboo14b3o5b3o5b4o
7bo19b4o5bo80bobo4boobbobbo11bo$94bo3bo6bobo49b4o3bobo254b3o10b3o4bo
10boobboob3o6bo19boo7bo79boo4b3obbo3bo9boobo36b3o$91bobbo8boo51bo263bo
4b3obo4bo8bo7b3o3bobboo6bo107boboboobobo3bo12boo38bobb3o$92bobbo6b3o
13bo40boo259booboo3b3o4bo4bobo7bo3boo4boo118bobbo7boo8boo40bobo$93bo5b
o3bo14bobo35boo264bo14bobbo7bob4oboo3boo113boo13b3o7booboo43bo$95bobob
oobo15bobo36bo265boo11b3ob3o3boobobbobobbobboobobo108b3obbo6boobb3o12b
o40bo$97boo20bo38bobbo259boob3o22bo4boob4o3bo112boobo5bobo6boo8bo42bob
o$101bo48boo7b3o256boo4bo7booboo5bobooboo10boo6boo105bo3boboobobo6bob
oo5bobbo36boobo6bo$150boo266bo4bo3boobboo9bo6bo4bobo9bobbo105bo7bo10bo
45boo3bobbobbo$98bobbo316boboobo9bo5boo14bo10bobo13bo93boo7bo5bobboo
20b3o15b3o4bobbobbo3bo$424bobbo7bo31bo14boo92bo4b4o5bo4bo19boo17bo6bo
bbobbo3bo$419bo3b5obo5bobo42bobboo89b3o3booboo5bobb4o18b3o19bo3bo6bobo
$418boboob3obbo50bo4bo89bo8boo5bobo3bo12boo23bobbo8boo$422bobo3boo7bob
o38bobobb3o88bobo7boboo8boo11boo24bobbo6b3o$413bo4bo24bo17b3o22bo83boo
4bo5boobboo7boo28bo10bo5bo3bo$412boo9bo4bo9boboboo3bo13bo22boo83boo5bo
bo3bobboo9bo27bobo11boboboobo$412bobo4b3o8bo13boobobo5b3o6bo14b4o88bo
4b3obbobbobo9b3o24bobbo13boo$416bo6bo4b3o7booboobboboobo4bo6bobbo16bo
90boo6boo3bo3b3obbo3bo24boo18bo$415bobbo9boo8boo5bob3o6bo6boboo11bob3o
90boo7bobo5bo3bo$415bo14bo7boo7boo9boo3boboo10booboo100bo3bo4bo49bobbo
$254b3o162boobboo5b3o13bo12bo3bobo11boobo52b3o45boobobo7booboo$253b5o
157bobboo3bobo4b4o9b4o16boboo8b3oboo52bo44b3oboo11bo$252boob3o156boo4b
obbo6bobboboo6bo9b3o3boo6bo7boo10boo45bo42bo4bobbobo6boo$210boo41boo
159boboo11bobobo10bo8bobboobbob3obo15bobobb3o5boo39boo38boobobobbobo8b
oo$209boo206boo9boo24bobbobboobo17bo6boo5boo40bo37bo3bo3boo11bo$211bo
204bo10boo27boobooboobo16bo4b3o85bobo6bobobb3o4b3o$213boo198b6o7boo34b
obbo17boobb3o44boo42bobobo3bobbo5bo$212bo5bo192boobobo11bo32boobbo23bo
44boo38booboo4boo5bo4bo43boo$216boobo190bo4bo13boboo56b3o41bobo38boo3b
o3boo7boo44bobbo$167boo48bo3bo187bo4bobboo9boobobo76boo17booboo41boob
oobbobobo6bo45bobo$166boo45boobb3o189bobbo13b4obo3bo51bo5bo15boo17boob
oobo40boo5bobobo6bo46bo$168bo44boobo191bo4bo11boo6bobbo50bo5bo16bobo
11boo3boboo42boobo5bo$201bo13bo3bo184boobboobo13bobo5bo53bo5bo16b3o11b
obobbobbo45bo5b3o56boo21bo$200boo11boo5boo177boobboo3bobo21boobbo73boo
12bo7bo40bo4bo5bo58boo20boo$200bobo10b3o182boo5bob3o17bo3boo56b3o20bob
o3bo10bobbo13boo24boo3boo5boo73bo5bobo$204bo7boboo184bo4boobobbo14boo
bbo87bo7b4obo13boo3bo21bobo3b5o75boo$203bo3booboobobbo185boobbobobbo
19bobo47bo32bobobo7boo19boboo25boo3boo60bo14bobo3boobobo$203bo3boob3o
189boo76b5o14bo16b3ob3obo24b3o23bo6bo58booboo16bo7boo$191boo16boboo
218bobbo45bobboo13bobo15b3o5bobbo21bo32boo43boobo10bo19bo4bo5boo$190bo
bboo10bobbo4bo217b3o48boobo11bobbo16boo8bo23b3o21bo4b3obbo41bo3bo8boo
19bobbobb6o$190boobo11b3o219b3obboobo62boo44boobo4boo7b3o11bobbobbo45b
o4bo8boobo$181bo10booboo7bobbo218bobbo6boo47bobo56boboo3bobo7bo13bobbo
4bobobo41boo12bo$180boo12b3o8bobobo215bo9boo101boo4boboo3b3o8bo12bobo
9bo43bobo33boobboo$180bobo13bo13bo214bo52b3o6b3o47boo6bo5b3o10boo10bo
3b3o68boo14bob4o$192bobboo9bo3bo207bo6boo9bo36bo4bobb3o4b3o47bobo4boo
4bobo11bo11boo3b3o48boo16boo14bo4bobo$183boo8b3o221boo15b3o35boo5boob
5ob3o47b3o4boobboo23b6obb3o49bobbo37bo$183boobb3o4bo222bobobb4o7boobbo
34bobo3b3o4booboo48boo6bobo13boo3bo5boobbobbobbo90b3o$187boobo230b5o9b
o48bobo32boo19bobo3boo3bobb3o5boobbobo4bo6boboo49boobbo$185bo4bo229bo
3bo49b3o6bobbo32boo25b4o4bo6bobo3bobb3o3bo56bo40bo$184b3o4bo33b3o193bo
51b3o7bo39bo18bobo10bo4boo6b3o4bo6boobo$184bo5bo33b5o246bobob4obbo36b
3o19b4o9b4obo19boo50b3o37boobo$171boo12bobobboo31boob3o248booboo39boo
21b4o10boo10bo11b3obo87boob4o33boo$170boo52boo251b6o37boobobbo18boo23b
obo10bobbo43bo4boo12boo24bobb4o31boo3bo$172bo9b3o334booboobbo53boobbo
bboo40boo21bo23boo37boboo$174boo6booboo233boo100b3o55boo4boobboo37bobo
bboo13bobbo64b3o$174boobboobbob3o232boo100boo21bo33boboobb3obbo43b3o
14boo65bo$177boobobboo236bo122boo31b3o4boo4bo41bobbo14boo67b3o$178bo4b
oo238boo114boobbobbo30bobo9bobo35boo20bobbo59boobo4boo$175boo3bo241bo
116boo3bobo42bo37bobobboo15bo62boboo3bobo$175boo242boo123boo36b3o42bo
bboboo16b3o53boo4boboo3b3o$175bo242boo86boo74bo6bobo39boo72boo6bo5b3o$
176booboo238bobobbo81bobo74bobb3o37bo3b3o57boo14bobo4boo4bobo$178bobo
238b3obo82bo44bo33bobbo29boo5boo3boo57bobo14b3o4boobboo$419boo88bo36bo
5boo34bo28boo5bo64boo15boo6bobo$416boobo89boo34bobo29b3o39bo4bobo81bob
o3boo3bo$415bo5bo87boo15boo17bobo29bo9bo33boobbo88b4o$414bo3b4o86boo
16boo18bo31bobb6o34boo17boobo66bobo$402bo10bobb3oboo82booboo71bo59bo3b
o42b3o22b4o$401boo10bobbo87bo4bo71boo57bo4bo40bobbo22b4o$401bobo5bo5b
oo87bob4o4boo126boo45bo23boo$408b6obo92boo3boobo127bobo38bo$404boobbo
bboobboo91boo4bo14bobo158bo$404boo4boobb3o15bo75boo4bobo12boo108bo6boo
32boo8boo$385bo8boo35boo77bobboobo13bo107b5o4bobbo29boo5bo3bo$384boo8b
obb3o6boo3bo19bobo75boo121boo4bo6boo41boo$370boo12bobo7bo5b3ob3obbo99b
o4bo3bo113bobo11bo$370bobo15b3o4bo6bob5o25boo74bo4bo4boo110bo5boboo6bo
bo$370bo7bo8boo3boo6b3obo28b3o80bobo3boo109boo4bo4bobo$373bo3bob3o4bo
6boobbooboo5boo24bo83bo5b3o107bobbo6b3o$373boobo3boo3b4obobo6b3o5bobo
110b3o110bo6booboo$376b3o5boo4bo3bobo3boo5bo10bo10boobobo87bo112bobobo
bbo$382bo3bo6boo22b5o6bo5bo88bo3bo$373bo3bobo7bo3bo3bobo14boo3boboobo
4bo3boo89bo114bo4bo$372boobob3obboo3boobbo4bobo5bo6boobo5bobo3bobbo93b
obbo111b4o$372bo3bo6b3obbo6boob5obo3bo3b4o10bo97bo$371boo5bo4b3o5bo8b
oo4b4obbo15bo$371bo6bo5boo3bobo15b3oboobbo5bo3bo$242b3o127bo8boo11boo
19boo3b3obbobo$378b5o10boo13boo5boo5bobobbo$377boo3bo11bobo10boobo6bo
3bo4b3o3boo$377bobboo5b3o4bo12boo9boo6b4oboo$376bo5bo4bo8boo20bo8bo4b
oo$380bo7bobb3o4bo33bo$378bobboo7bobbo5boo3boo22boobbo$377b3o13bo6bob
3obo148boo$378bo3boo9bo6bo154boo159boo$378b4o6b3oboo9b3o309bobbo$379bo
bo4boobo3bo8boo312boo$379boo5bo4bobobo5boo$379bobo5boo3b3o6bobo3b3o$
377b3ob3o9bo9boobbo307bo5bo$376boo4boo18b3o4bo138boo164b4obb3o$378bo5b
o7bo9bobobboo138bobbo5bo156bo3boob3o$382bobo6boo9boo143bobo6boo156boob
oo$381bobbo5bo3boo6boo135b3o6bo6boboo149bo6boo$381bobbo5bob4o7bo151bob
o149boo$382bobo4b5o152b3o6boo150bobo25boobo7b3o$386bo5bo152bo3bo185bo
3bo6bo$383b6o3bo139boo201bo4bo7bo7boo$385b3o5boo13b3o120boo3bo7bo5bo
25boo159boo7bobo4boobo$388boobboobo12bo124boboo8bo3bo26bobo160bobo4b3o
bobboo$382boo4b3o4bo6b3o6bo123b3o38bo168bo3boobboo$374boo6bobobbo3bo
10bo6bobbo122bo205boob4oboo$373boo7bo3booboobobo8bo6boboo123b3o53boobo
145b7o$375bo3bo5b5ob3o11boo3boboo116boobo4boo53bo3bo$377boo11bo15bo3bo
bo117boboo3bobo53bo4bo$376bo4boo27boboo110boo4boboo3b3o55boo$373boboob
o4bo6bo9b3o3boo6bo108boo6bo5b3o57bobo$372b6oboobbo6bo9bobboobbob3obo
110bobo4boo4bobo$367bo4bobboo6bo6bo10bobbobboobo113b3o4boobboo55bo6boo
8boobo$366boo6boobboo3bo19boobooboobo111boo6bobo56b5o4bobbo5bo3bo$361b
3obbobo10bobobo5bo19bobbo113bobo3boo3bo47boo4bo6boo9bo4bo109boo$361bo
11boboo4bobobboob3o16boobbo119b4o49bobo11bo11boo111bobo$364bo4boobobob
o5boo5bobob3o4boo126bobo54bo5boboo6bobo9bobo108bo$361bobbo4b3o7boobo5b
obobo6bobbo127b4o52boo4bo4bobo125boo$362bobbo5boo6b3o8bo4bo4boo128b4o
52bobbo6b3o9bo6boo108bobbo$363bo15boo150boo53bo6booboo9b5o4bobbo105bo$
365boboo3bo3bo3boo10boo38bo155bobobobbo5boo4bo6boo19boobo88bobo$367bob
4o4boo52b5o165bobo11bo19bo3bo91bo$367boboobobo5boo49bobboo154bo4bo5bo
5boboo6bobo15bo4bo88bobbo17boo$364b3ob4obo7bo51boobo154b4o7boo4bo4bobo
21boo90bobbo17bobo$363bobo16bo13boobboo200bobbo6b3o24bobo89b3o16bobbo$
363bo3boo6booboobo14boboboo34bobo149bo13bo6booboo113b3ob3o16boo$363bob
3oboo3boo5b5o11b3o186boobo14bobobobbo22bo6boo80b3oboobb3o17b3o$366boob
3obo8boobo12bo30b3o6b3o122bo21bo3boo42b5o4bobbo77bo7boo16bo$364b3o4bo
26bobo8b3o12bo4bobb3o4b3o121boo24bo3boo11bo4bo15boo4bo6boo82bo6boo15b
oo$364b3o16boo14b3o21boo5boob5ob3o121boo20bo3bobboo13b4o16bobo11bo85b
5o$369boo3bo4boobo16boo6bo5bo9bobo3b3o4booboo148bo3boboo30bo5boboo6bob
o83boo51bo$363bobo3boo3bo3boobboobo21bo5bo21bobo123b3o25bo6bo31boo4bo
4bobo86boo40boo9boo$362boobo5bo8boboo23bo5bo11b3o6bobbo123b3o30bobo31b
obbo6b3o87boo22b3o14boo3bo6bobo$371boboboo9bo37b3o7bo122bo4bo24bobo4b
oo32bo6booboo87bobo41boboo15b3o$358b3o4bo5b3o10bo24b3o14bobob4obbo120b
o30bo41bobobobbo88boo45b3o5bobo4booboo$358bo5boobobboobo54booboo126boo
165bobo44bo6boobobobo$359bo4boobobbobobboo3bo3b4o14boo24b6o126bo71bo4b
o87bo49b3obo6boboo$361b4obo3boo7boo3b4o14boo160boo67b4o89boo48boo7bo$
300b3o59boo7bobbo4bobo36bo125boo17boobo209boo5boo$371bo11boo32bobo123b
oo3bo17boo210b5o$368boo4bo8b3o30bobbo125boboo16boo$367b3o3b3o41boo128b
3o$365boo4bob3o7bo163bo$365boobbobobobo7bobo163b3o$364bobobbobboo5bo
162boobo4boo$365boboo4bo4boo4b3o155boboo3bobo57boo56boo56boo$363boobb
oo4bo4bobo3bobo149boo4boboo3b3o58boo56boo56boo$363b5o3boboo8bo151boo6b
o5b3o57bo57bo57bo$368bobbo9b3o152bobo4boo4bobo$366b3obbobo8boo152b3o4b
oobboo$363bo3boo4bo162boo6bobo49bo$364boo7bobo56boo104bobo3boo3bo45boo
$367boo3boo57bobbo19boo88b4o47bobo$361boo4boo3bobbo56bobo19bobo83bobo$
361bobobbobboob3o58bo13boo5bo87b4o52boo$361bo3bobbooboo62b3o9bobo3boo
bbo84b4o52boo149bo$364b5o3bo66bo7bo11bo83boo202bo3bo$365bo67bo6bo9bo3b
oo3b3o132boboo148bo$372bo43boo15bo6bo9boo4boo4bo130b4o149bo4bo$351bo
17bobbo42boo3bo12bobo20b7o130bo3boo4boo141b5o$350boo11b3obb3obbobo41bo
boo7boo4bo4bo17b4o137bobb3obo$350bobo10booboo7bo43b3o5bobbo3bo170bo$
364bobo3boo3bo43bo7bobbo4bobo18b3obbo135boo4bo$353boo10bobobboo49b3o3b
ooboo4bo18booboo137boo4b3o$353boo14bo3bo48boo5boo26boboboo135bo3bobbo
13b3o$362b3o3bobo51boo38bobbo132bo5b3o$344bo6boo3bo5bo3bobbo52boo11boo
26b3o133boo3b4o$343boo5bobbobobobboboo6b3o49boo11boo7boo17bo143b5o$
343bobo3boobo3bobb3o8bobbo48boo20boo163b3oboo$347bo9b3o11b3o49boo38boo
141boobbo3bo6boo$346bo12bo10bo3bo49bo38boobobo145boo5boo$346bobbo10bo
12boo48bo42bo3bo140booboo7bo$360bo9bo4bo42boo43boo5bo32boo108b3o5boo$
369b3obbobbo40bobobbobo39b5o32boo3bo104bobo$371bobo4boo38bo3bobo79bob
oo105bo4bo$366boobbobbobbobobo40boobbo80b3o108boboboo$366bo6bobobboo
42bobo81bo111boobbo$366bobo9bo37boo3boo20bo64b3o108b3o$372bo6bo35boobo
b3o20boo56boobo4boo103boo4bo$371boo6bo37bobo22bobo56boboo3bobo103bobo$
371bobobboo105bo11boo4boboo3b3o103bo$375b4o35boo67bo10boo6bo5b3o$375bo
boo27b3o5boo3bobo16b4o41bo11bobo4boo4bobo$367bo38bo6bobo21bobb3o52b3o
4boobboo$366boo39bo4boo24bo3bo52boo6bobo34boo178bo$366bobobb5o33b4obo
23bobbo39boo14bobo3boo3bo30boo3bo173bo3bo$370b6o34boo17boo8b3o40b5o16b
4o34boboo172bo$369bo3boo53boo3bo47boo3bo12bobo41b3o171bo4bo$370bo59bob
oo48bo3bo14b4o38bo173b5o$432b3o48bobo15b4o40b3o$432bo46b3obbo17boo34b
oobo4boo$434b3o42bobo56boboo3bobo$427boobo4boo42bobboo48boo4boboo3b3o$
427boboo3bobo43b4o47boo6bo5b3o$421boo4boboo3b3o43bo4bo46bobo4boo4bobo$
420boo6bo5b3o43boobbo47b3o4boobboo$358b3o60bobo4boo4bobo36boo57boo6bob
o$421b3o4boobboo39boo59bobo3boo3bo$421boo6bobo108b4o$423bobo3boo3bo
101bobo$429b4o94boo9b4o$425bobo96boo3bo8b4o$427b4o90boobo5bo8boo$427b
4o90bo3boobboo$428boo91bo3bo$522boboo$523bobo$525b3o6$691bo$689bo3bo$
688bo$688bo4bo$688b5o3$504boo$$502bo3bo$502bo$496boo3bo3bo3b3o$496bobo
bbobbo7boboo$496bo5bobo6boobbo$513bobbo$513bobbo$514bobo$515bo3$508boo
bo$508bo3bo$508bo4bo$510boo$512bobo$$507bo6boo$506b5o4bobbo$500boo4bo
6boo37bo$500bobo11bo25bo10boo109bo$500bo5boboo6bobo19boo5bo5bobo106bo
3bo$501boo4bo4bobo24boo3boo113bo$501bobbo6b3o30bobo3boobobo103bo4bo$
501bo6booboo35bo7boo101b5o$503bobobobbo36bo4bo5boo$547bobbobb6o$505bo
4bo3boobo$506b4o4bo3bo$514bo4bo33boobboo$516boo35bob4o$518bobo32bo4bob
o$416b3o142bo$513bo6boo38b3o$512b5o4bobbo$506boo4bo6boo39bo$506bobo11b
o$506bo5boboo6bobo35boobo$507boo4bo4bobo29bo9boob4o$507bobbo6b3o30bo
10bobb4o$507bo6booboo31bo11boo8boo$509bobobobbo55bobo$572bo$511bo4bo$
512b4o$553b3o$555bo$554bo$$633bo$631bo3bo$630bo$630bo4bo$522boobo104b
5o$522bo3bo$522bo4bo$524boo12boo$526bobo9bobo$$521bo6boo$520b5o4bobbo$
514boo4bo6boo12boo$514bobo11bo11boo3boo$514bo5boboo6bobo5b3o3bobbo$
515boo4bo4bobo9bo6boo$515bobbo6b3o10bo$515bo6booboo$517bobobobbo$$519b
o4bo$520b4o8$540bo63bo$538boo62bo3bo$539boo60bo$601bo4bo$601b5o8$474b
3o17$575bo$573bo3bo$572bo$572bo4bo$572b5o25$540bo5bo$538boo4bo3bo$539b
oobbo$543bo4bo$543b5o8$532b3o!
BCNU,
-dbell
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Sokwe
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Posts: 3367
Joined: July 9th, 2009, 2:44 pm

Re: Spaceship Discussion Thread

Post by Sokwe » November 27th, 2023, 7:30 am

I used WLS to prove that there are no glide symmetric c/6 diagonal spaceships of diagonal width 24. This means that the following ship has minimal width among glide symmetric c/6 diagonal ships:

Code: Select all

x = 67, y = 68, rule = B3/S23
3o$3bo$o2bo$4bo$2b2o$5b2o7bo$5b3ob3ob3o$6bob2o6bob2o$6bo3bob4obo$9bo5b
o4bo$6bobo7bo4bo$7bo11b2ob2o$19bo2b3o$6bo11b3o3bo$5bob2o6b4o7b2o$9b2o
3bo2bo8b2o$9b2o3bo10b2o$15bo9b2o$8b5o13bo$9b2o2bo$14bo12b2o$11bobo13b
2o$12b2o13b2o$14b2o14b3o$13bobo17b2o$28bo3bo$15b2ob2ob2o5b3ob2o2bo$18b
o4b2ob2o3bob5o$19bo4bob2ob2obo3b2o$33bo2bo2bo$22bobo4bob3o2bo$23b2o4bo
b2o2bo6b2o$23b2o4bobo3bo2b2o2bobo$26b2ob3o4b2o6bo$25bobobo11bo3bo$28b
3o8b3o3bo$28bob2o7bo2bo3bo$29b3obobo7bo2bo$34b2o8b3obo$35bo12bo$36bo
11bo$33bob2o4b3o7bo$32b5ob2obo3bo5bo$32bo4b4obo7bobo$40b2o4b2obo$40b2o
b2ob2o5bo$40bo12bob2o$38b3o6b2o4b2o$38bo5b2o2bo4bo4bo$43bo2b4o2b2o3bob
o$43b2obo4bobo3bo2bo$42bo5bo7bo3bo$43bo3b5o5b3o$45b2obo3b2obo2bo$46bo
2bo4b2o$52b2o$50b3o3b3obo$50bo5b6o$57bo5b3o$50b4o4bo4b2o$51b3o3bobo5b
2o$51b2o6bo6bo$60bo5bo$58bo2bo$58bo$59b3o$61bo$61bo!
My notes say that it was uploaded anonymously to Catagolue on September 25, 2021. Does anyone know who found it?

I used Nicolay Beluchenko's version of WLS (WLS 6.3) to get some censuses of small-width p4 c/4 diagonal ships. These searches have been done before. I'm just reproducing the results here for record keeping purposes.

First, here are all p4 c/4 diagonal ships of diagonal width 13 or less. There is one ship of width 4 (the glider), one ship of width 12, and two ships of width 13:

Code: Select all

x = 118, y = 36, rule = B3/S23
3o18b3o48b2o20bo$o20bo49b2o20b2o$bo20bo50bo19bobo$24b2o49b2o18bo$23b2o
49bo21bo$67b3o23bob2o$22bo44bo5bo2bo17bo$23bo44bo2b2o$24b2o3bo40bo3bo
20b2o$25b2o3bo40bobo21b2o$27bo2bo42b2obo4b3o11bo$26bo3b2o44bo4bo14b2o$
26bobo2b2o44bo5bo$26bobobo49bobo13b3o$27b2o5bo42b2obobo13bo2bo$27b2o2b
o6bo38b2o4bo13bo$32b2obo42bobobobo14b2o$32b2ob2ob3o37bobo4bo15bo$41bo
37bo22b2o$37bo3bo39b2o3b2o19bo$37bo45bob3o15bob4o$39bo2bo41b2o19bo2bo
2bo$40b3o41b2o24bobo$40bob2o$43b2o66b2ob2o$45bo65b2o3bo$42b2ob2o66b2o$
47bobo66b2o$48bo2bo$49bobo$44b2o4b3o$44bo2b2o$44bo4bo$46bo2bo$47bo$48b
o!
There are infinitely many ships of width 14, as shown by this repeatable tagalong:

Code: Select all

x = 64, y = 71, rule = LifeHistory
3.A$2.2A$2.A.A2$5.2A$5.2A2$.A.2A$4A$A3.2A$5.A2.A3.2C$11.2C$4.2A3.A.2C
$4.2A3.A.2C$5.A5.C$5.A$6.2A5.C.3C$12.2C4.2C$13.6C3$18.C3.2C$16.2C.2C.
4C$17.C8.C$18.2C6.C2$22.2C2$21.4E$20.4E3.E$20.E5.3E$28.E$26.E.E$26.E.
E3.E$26.E.E3.2E$27.2E2.E2.E$27.E4.E.E$32.E6.2A$38.2A$31.2E3.E.2A$31.
2E3.E.2A$32.E5.A$32.E$33.2E5.A.3A$39.2A4.2A$40.6A3$45.A3.2A$43.2A.2A.
4A$44.A8.A$45.2A6.A2$49.2A2$48.4A$47.4A3.A$47.A5.3A$55.A$53.A.A$53.A.
A3.A$53.A.A3.2A$54.2A2.A2.A$54.A4.A.A$59.A2$58.2A3.A$58.2A3.A$59.A$
59.A$60.2A!
Second, here are all p4 c/4 diagonal ships of orthogonal width 10 or less. There is one ship of width 3 (the glider) and four ships of width 10:

Code: Select all

x = 42, y = 53, rule = B3/S23
bo$2o$obo4$8bo$7b2o$bo5bobo$2o$obo3b2obobo$4bo7b2o$3bo4bo5b2o$3bo2bo2b
6o5$11bo$bo8b2o6b3o$2o8bobo3b2ob2o$obo12bo$9bo2bobob2o$2b3o3b5o$b3o2b
2o2b3o4bo$3bob2o7bo2bo$5bo2bo$5b2o3$14bo7bo$7b3o3b2o6b2o$7bo5bobo5bobo
$3o6bo3b2o$o6bobo3bo9bobo$bo4b2ob2obobo4bob2ob2o$3b4ob6o5b5o$4b2o8b2ob
o3b2o$15bo5b2o$13bobo5bo4$10bo3bo$9b5o2bo8b2o$9bo15b4o7b3o$10b3obob2o
5bo12bo2b3o$9b5o6b4o4bobo9b2o$2o6b2o8bo2b3o8b3o$obo3b2o2bo6bo4bo2b2o3b
o2bo2bo$o5b3o8bo2b2o10bo$3bo14b2o3bo$3b2o18bo!
Finally, here are all p4 c/4 diagonal ships with a single-phase orthogonal width of 9 or less. There is one ship of width 3 (the glider), one ship of width 7 (B29), one ship of width 8 (swan), and twelve ships of width 9:

Code: Select all

x = 106, y = 195, rule = B3/S23
3o$o$bo7$7b3o$7bo$3o6bo$o6bobo$bo4b2ob4o$3b4ob5ob2o$4b2o7b2obo6$2obo7b
3o$o3bo6bo$o4bo7bo7b2o$2b2o7bobo4b2obo$4bobo4b3obo2b2o$10bo3b2o2b2o$6b
2ob4ob2o$7b7o8$5b2o12bo6b2obo43bob6o9bo$4b2o11bob2o2b2obo2b3o6b2o29b2o
b3ob2ob3o7b3obo$6bo9b2o3b2o3bo2b3o5b3ob3o24b2o7b2o9b2o2b2o$8bo6b3obo6b
o2bob2obob4o5b3o21bo4b3obo3b2o3b2o2bo7b2o$2o5bo2bo3bo2bobob4ob2obo4b2o
5b2obob6ob2ob2o10bo5b2o8bo2bo2b2o4bob2o$obo3b2obob5o3bo4bobo3b3o2bo3bo
4bo2b3o2bo3b2o2bo5b3o4bo4b3o2bo6b2o2b2o3b2o$o6b5o3bobob2o2b2o6bobo4b2o
16b3ob2o2b2o4bob2o9bo7bo7bo$3bo5bo8bobo2b2obo11bo11bo3bo3bo2bobo3b2o
14bo3bob2o4b2o2bo$3b2o20bo24bobo6bo4b2o18bo6bo5$5b2o12bo6b2obo43bob6o
8bo$4b2o11bob2o2b2obo2b3o6b2o29b2ob3ob2ob3o6b2o$6bo9b2o3b2o3bo2b3o5b3o
b3o24b2o7b2o9bobo$8bo6b3obo6bo2bob2obob4o5b3o21bo4b3obo3b2o$2o5bo2bo3b
o2bobob4ob2obo4b2o5b2obob6ob2ob2o10bo5b2o8bo2b2obobo$obo3b2obob5o3bo4b
obo3b3o2bo3bo4bo2b3o2bo3b2o2bo5b3o4bo4b3o2bo9b2o$o6b5o3bobob2o2b2o6bob
o4b2o16b3ob2o2b2o4bob2o9bo5bo5b2o$3bo5bo8bobo2b2obo11bo11bo3bo3bo2bobo
3b2o15bo2bo2b6o$3b2o20bo24bobo6bo4b2o19bo6$5b2o12bo6b2obo43bob6o11b2o
5bob3o$4b2o11bob2o2b2obo2b3o6b2o29b2ob3ob2ob3o10bobob2obo4b2o$6bo9b2o
3b2o3bo2b3o5b3ob3o24b2o7b2o13bobobo2b7o$8bo6b3obo6bo2bob2obob4o5b3o21b
o4b3obo3b2o9b3o7bo$2o5bo2bo3bo2bobob4ob2obo4b2o5b2obob6ob2ob2o10bo5b2o
8bobob2o2bo3b3o4b3o$obo3b2obob5o3bo4bobo3b3o2bo3bo4bo2b3o2bo3b2o2bo5b
3o4bo4b3o2bo4b2o2bo3b2o7bo$o6b5o3bobob2o2b2o6bobo4b2o16b3ob2o2b2o4bob
2o10bo6b3o9bo$3bo5bo8bobo2b2obo11bo11bo3bo3bo2bobo3b2o17b2o4bobo8bo$3b
2o20bo24bobo6bo4b2o20b2o5bobo8b2o5$5b2o12bo6b2obo43bob6o11b2o5bob3o$4b
2o11bob2o2b2obo2b3o6b2o29b2ob3ob2ob3o10bobob2obo$6bo9b2o3b2o3bo2b3o5b
3ob3o24b2o7b2o13bobobo2b4o$8bo6b3obo6bo2bob2obob4o5b3o21bo4b3obo3b2o9b
3o5bobo$2o5bo2bo3bo2bobob4ob2obo4b2o5b2obob6ob2ob2o10bo5b2o8bobob2o2bo
3b3o2bo$obo3b2obob5o3bo4bobo3b3o2bo3bo4bo2b3o2bo3b2o2bo5b3o4bo4b3o2bo
4b2o2bo3b2o5bo$o6b5o3bobob2o2b2o6bobo4b2o16b3ob2o2b2o4bob2o10bo6b3o6b
2ob2o$3bo5bo8bobo2b2obo11bo11bo3bo3bo2bobo3b2o17b2o4bobo5b2ob3o$3b2o
20bo24bobo6bo4b2o20b2o5bobo6bo6$5b3o11b3o4b5o36bob6o9bo$5bo11b2ob5o2bo
4bo5bob2obo19b2ob3ob2ob3o7b3obo$6bo9bo3bob3o2b3o7bo5bo3bo14b2o7b2o9b2o
2b2o$8bo7bo10bo2bob4obo2bo4b2o3b2o11bo4b3obo3b2o3b2o2bo7b2o$b2o4b2ob4o
4bobo2b3ob4o4bo2bob2o2b2o5b4ob3o3bo5b2o8bo2bo2b2o4bob2o$2o5bo5b2obo3bo
bo4b2o2b4obo2b3o2bob2o4b3o5b3o4bo4b3o2bo6b2o2b2o3b2o$2bo4b2o3bobob2o3b
o9b2o6b2o8b2o5b2obo4bob2o9bo7bo7bo$4b2o4bo8bobo2bo14b2o11bo6bob2o14bo
3bob2o4b2o2bo$4b2o19b2o25bo25bo6bo5$5b3o11b3o4b5o36bob6o8bo$5bo11b2ob
5o2bo4bo5bob2obo19b2ob3ob2ob3o6b2o$6bo9bo3bob3o2b3o7bo5bo3bo14b2o7b2o
9bobo$8bo7bo10bo2bob4obo2bo4b2o3b2o11bo4b3obo3b2o$b2o4b2ob4o4bobo2b3ob
4o4bo2bob2o2b2o5b4ob3o3bo5b2o8bo2b2obobo$2o5bo5b2obo3bobo4b2o2b4obo2b
3o2bob2o4b3o5b3o4bo4b3o2bo9b2o$2bo4b2o3bobob2o3bo9b2o6b2o8b2o5b2obo4bo
b2o9bo5bo5b2o$4b2o4bo8bobo2bo14b2o11bo6bob2o15bo2bo2b6o$4b2o19b2o25bo
26bo6$5b3o11b3o4b5o36bob6o11b2o5bob3o$5bo11b2ob5o2bo4bo5bob2obo19b2ob
3ob2ob3o10bobob2obo4b2o$6bo9bo3bob3o2b3o7bo5bo3bo14b2o7b2o13bobobo2b7o
$8bo7bo10bo2bob4obo2bo4b2o3b2o11bo4b3obo3b2o9b3o7bo$b2o4b2ob4o4bobo2b
3ob4o4bo2bob2o2b2o5b4ob3o3bo5b2o8bobob2o2bo3b3o4b3o$2o5bo5b2obo3bobo4b
2o2b4obo2b3o2bob2o4b3o5b3o4bo4b3o2bo4b2o2bo3b2o7bo$2bo4b2o3bobob2o3bo
9b2o6b2o8b2o5b2obo4bob2o10bo6b3o9bo$4b2o4bo8bobo2bo14b2o11bo6bob2o17b
2o4bobo8bo$4b2o19b2o25bo27b2o5bobo8b2o5$5b3o11b3o4b5o36bob6o11b2o5bob
3o$5bo11b2ob5o2bo4bo5bob2obo19b2ob3ob2ob3o10bobob2obo$6bo9bo3bob3o2b3o
7bo5bo3bo14b2o7b2o13bobobo2b4o$8bo7bo10bo2bob4obo2bo4b2o3b2o11bo4b3obo
3b2o9b3o5bobo$b2o4b2ob4o4bobo2b3ob4o4bo2bob2o2b2o5b4ob3o3bo5b2o8bobob
2o2bo3b3o2bo$2o5bo5b2obo3bobo4b2o2b4obo2b3o2bob2o4b3o5b3o4bo4b3o2bo4b
2o2bo3b2o5bo$2bo4b2o3bobob2o3bo9b2o6b2o8b2o5b2obo4bob2o10bo6b3o6b2ob2o
$4b2o4bo8bobo2bo14b2o11bo6bob2o17b2o4bobo5b2ob3o$4b2o19b2o25bo27b2o5bo
bo6bo6$23bo39bob6o9bo$16b2o3b2obo7b2o5bo19b2ob3ob2ob3o7b3obo$16bo2bo4b
o6b2o3b2obo3bo14b2o7b2o9b2o2b2o$b2o2bo10bo2bobob3o6bobobo4b2o3b2o11bo
4b3obo3b2o3b2o2bo7b2o$2o4bo2b2o6bo4bo9b4o4b2o5b4ob3o3bo5b2o8bo2bo2b2o
4bob2o$2b2obo2bobo4b3o9b3ob2o7bob2o4b3o5b3o4bo4b3o2bo6b2o2b2o3b2o$4b2o
2bo2b2obob2o2b2obo4bo2bo13b2o5b2obo4bob2o9bo7bo7bo$9bo2bo3b2o2b2obo5b
2o17bo6bob2o14bo3bob2o4b2o2bo$12b4o4b2obo24bo25bo6bo6$23bo39bob6o8bo$
16b2o3b2obo7b2o5bo19b2ob3ob2ob3o6b2o$16bo2bo4bo6b2o3b2obo3bo14b2o7b2o
9bobo$b2o2bo10bo2bobob3o6bobobo4b2o3b2o11bo4b3obo3b2o$2o4bo2b2o6bo4bo
9b4o4b2o5b4ob3o3bo5b2o8bo2b2obobo$2b2obo2bobo4b3o9b3ob2o7bob2o4b3o5b3o
4bo4b3o2bo9b2o$4b2o2bo2b2obob2o2b2obo4bo2bo13b2o5b2obo4bob2o9bo5bo5b2o
$9bo2bo3b2o2b2obo5b2o17bo6bob2o15bo2bo2b6o$12b4o4b2obo24bo26bo6$23bo
39bob6o11b2o5bob3o$16b2o3b2obo7b2o5bo19b2ob3ob2ob3o10bobob2obo4b2o$16b
o2bo4bo6b2o3b2obo3bo14b2o7b2o13bobobo2b7o$b2o2bo10bo2bobob3o6bobobo4b
2o3b2o11bo4b3obo3b2o9b3o7bo$2o4bo2b2o6bo4bo9b4o4b2o5b4ob3o3bo5b2o8bobo
b2o2bo3b3o4b3o$2b2obo2bobo4b3o9b3ob2o7bob2o4b3o5b3o4bo4b3o2bo4b2o2bo3b
2o7bo$4b2o2bo2b2obob2o2b2obo4bo2bo13b2o5b2obo4bob2o10bo6b3o9bo$9bo2bo
3b2o2b2obo5b2o17bo6bob2o17b2o4bobo8bo$12b4o4b2obo24bo27b2o5bobo8b2o6$
23bo39bob6o11b2o5bob3o$16b2o3b2obo7b2o5bo19b2ob3ob2ob3o10bobob2obo$16b
o2bo4bo6b2o3b2obo3bo14b2o7b2o13bobobo2b4o$b2o2bo10bo2bobob3o6bobobo4b
2o3b2o11bo4b3obo3b2o9b3o5bobo$2o4bo2b2o6bo4bo9b4o4b2o5b4ob3o3bo5b2o8bo
bob2o2bo3b3o2bo$2b2obo2bobo4b3o9b3ob2o7bob2o4b3o5b3o4bo4b3o2bo4b2o2bo
3b2o5bo$4b2o2bo2b2obob2o2b2obo4bo2bo13b2o5b2obo4bob2o10bo6b3o6b2ob2o$
9bo2bo3b2o2b2obo5b2o17bo6bob2o17b2o4bobo5b2ob3o$12b4o4b2obo24bo27b2o5b
obo6bo!
I am sure that there are infinitely many orthogonal width 11 and single-phase orthogonal width 10 p4 c/4 diagonal ships, but I didn't bother to find examples of repeating components.

It is also easy to check with WLS or JLS that the minimal diagonal widths for p5 c/5 diagonal ships are 15 for asymmetric ships and 27 for symmetric ships. In the asymmetric case there is only one known example of minimal width, 67P5H1V1. In the symmetric case there are two known examples, 86P5H1V1 and the following ship by Nicolay Beluchenko:

Code: Select all

x = 38, y = 38, rule = B3/S23
10b3o$9bo$8bo$12b2o$9b2obo2$11bo4bo$11b6o$2bo7bobo2b2o$bo2bo4bo$o3bo3b
o5bo2bo3b3o$o5b2o6bo6bo$o2b2o2b2o6b2o2bo$3bo3bo6bob2ob4o$7bo2b2obo6bo
4bo$7b2o3bo10bobo$6b3o3b2o5bo5bo$10bo2bo4bo$17bo3bo2b3obo$12b2o2bo2bob
obo5bo$13b2o10bobo$10b2obo4b2o4b2ob2o$10bo2bo8b2o$10bo4bo3bo2bo2bo2bo$
18bo2bo4bobo$14b3obob2obo3bo2bo$18bo5bo3bo3bo$20b2o3bo4bo3bo$18bo2bob
2obo7bo$19bo12bo2bo$25bobo6bo$37bo$26bo2bo4bo2bo$35bo$27b2obobo3bo$29b
o3bo$34bo$31b2o!
It might not be too hard to prove that these are all such ships at these widths using WLS 6.3, but I haven't run such a search yet. I may do so soon if no one else beats me to it.
-Matthias Merzenich
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dbell
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Re: Spaceship Discussion Thread

Post by dbell » November 27th, 2023, 8:22 am

One problem with diagonal c/4 technology is the it is very hard to send signals upwards towards the front of a spaceship. Without that, there is no feed-back loop available to make nice things like a pseudo-random rake.

But a signal can be sent faster than the vacuum limit if it is able to propagate through other objects. The old period 6108 diagonal c/4 rake shows one method where the signal climbs through the wick created by two boatstretchers. That isn't very versatile, however.

Today I found a simple method of signal propagation as shown here.

Code: Select all

#C A series of kick-backs using four backward glider streams can advance a
#C glider arbitrarily forwards along its path.  Shown here is a series of eight
#C kick-backs which advance the path of a glider by two diagonal cells.
#C Another non-perturbed glider is shown for comparison.
x = 90, y = 99
89bo$87boo$88boo7$75bo$75bobo$75boo11$66bobo$66boo$67bo8$52bo$51bo$51b
3o11$44bo$42boo$43boo7$30bo$30bobo$30boo11$21bobo$21boo$22bo8$7bo$6bo$
6b3o9$boo$obo$bbo6$9boo$8bobo$10bo!
The advancement is slow but steady. Only four backward rakes are needed to provide the glider streams, and when there is no glider to be advanced the backward glider streams can be deleted by terminating spaceships or rakes.

I haven't started to build anything useful using this yet. I'll wait a few days to see if anyone else wants to tackle it.

BCNU,
-dbell
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b-engine
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Re: Spaceship Discussion Thread

Post by b-engine » November 27th, 2023, 9:14 am

This spaceship produces banana spark which is accessible by gliders:

Code: Select all

x = 39, y = 36, rule = B3/S23
bo2bo5b2o$o8b4o$o3bo3b2ob2o$4o5b2o4$11b2o$2b3o7b2o17b6o$2bo6bo2bo18bo
5bo$2bobo6bo19bo$3b2o3b2o22bo4bo$25b2o7b2o$25bo$bo2bo18b3o8bo$o33bo$o
3bo29bo$4o22bo$24bo3bo7b2o$23bo12bobo$23bo4bo7bo$23b5o2$31b2o$31bobo$
31bo3$26b2o$26bobo$26bo3$21b2o$21bobo$21bo!
Ecologist itself could also emit banana sparks that turn gliders, but turns toward different direction instead.
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Mr. T
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Re: Spaceship Discussion Thread

Post by Mr. T » November 27th, 2023, 7:36 pm

otismo wrote: ↑
November 21st, 2023, 1:33 pm
 just noticed that hotcrystal's signature spaceship is a P20

and leaves a nice BanannaSpark which may come in handy in C10 :

Code: Select all

x = 18, y = 18, rule = B3/S23
6b2o$4bo4bo$3bo$3bo5bo$3b6o3$15bo$16b2o$b2o$2ob7o$b9o$2b8o$6b2o$4bo4bo
$3bo$3bo5bo$3b6o!
Couldn't use it in c/10, but played with it in c/2. Got some puffers with p20 and p40 (Surely discovered already) The Boat-puffer I couldn't find.

Code: Select all

x = 48, y = 114, rule = B3/S23
20b2o$19b2ob3o$20b5o$13b3o5b3o$4b4o4b5o$3b6o2b2ob3o$2b2ob4o3b2o10bo$3b
2o18bobo8b2o$16bo5bo2bo10bo8bo$16b2o5b2o9b2o8bobo$3b2o3bo7bobo15b2o8b
2o$bo7bo$o9bo$o10bo$9o$10b2o2$4b4o$3b6o$2b2ob4o$3b2o15$4b4o$3b6o3b2o$
2b2ob4o2b2ob3o$3b2o7b5o$13b3o2$3b2o3bo8bo8b2o8b2o8b2o$bo7bo7b2o7b2o8b
2o8b2o$o9bo6b2o$o10bo$9o$10b2o2$4b4o$3b6o$2b2ob4o$3b2o10$13b3o$4b4o4b
5o$3b6o2b2ob3o11bo$2b2ob4o3b2o9b2o4b2o3bo$3b2o17b2o9bobo$16bo5bobo7bo
2bo$16b2o4bobo8b2o$3b2o3bo7bobo4b2o$bo7bo$o9bo$o10bo$9o$10b2o2$4b4o$3b
6o$2b2ob4o$3b2o8$23b2o$21bo4bo$20bo$20bo5bo$20b6o2$13b3o$4b4o4b5o$3b6o
2b2ob3o6b2o3bo$2b2ob4o3b2o9b2o4b2o$3b2o17b2o$16bo5bobo$16b2o4bobo20b2o
$3b2o3bo7bobo4b2o6bobo11b2o$bo7bo25b2o$o9bo20bo5bo$o10bo25bo$9o22b2o5b
2o$10b2o18bo4bo4bo$30bo3bobo3bo$4b4o22bob2obo4bo$3b6o29b2o$2b2ob4o$3b
2o$29bo2bo$28bo$28bo3bo$28b4o!
Christoph Reinthaler (Who has this weird c/10-fetish)
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Re: Spaceship Discussion Thread

Post by Mr. T » November 27th, 2023, 8:04 pm

Mr. T wrote: ↑
September 29th, 2023, 10:12 am
 c/2 LWSS backrake

Known? The frequency of the LWSSes depends only on the period of the Loaf-puffer - p16 in this case.

Code: Select all

x = 81, y = 33, rule = B3/S23
7b2o$2o2b3ob2o$2bob5o$5b3o$3bo$2b2o$5bo$6bo$5bobo$7b2o$4bob2o$5b2o65b
2o$2b3o64b3ob2o$bob2o64b5o$4bo65b3o2$2bo5b2o50b2o14b2o$2b6ob2o61b2o5bo
$3b7o61b3o6bo$4bob3o61b2o8bo$4bo64bo3b8o$5b2o63b6o$11bo7bo7bo7bo7bo7bo
19bo$3bo6bobo5bobo5bobo5bobo5bobo5bobo7b2ob2o$2bo3bo2bo2bo4bo2bo4bo2bo
4bo2bo4bo2bo4bo2bo8bobo14b2o$2bo2bo4b2o6b2o6b2o6b2o6b2o6b2o10bo13b2ob
2o$2b3o71b4o$65b4o8b2o$5bo58bo3bo$3bo3bo60bo$8bo55bo2bo$3bo4bo$4b5o!
The pattern can be built very compact:

Code: Select all

x = 34, y = 34, rule = B3/S23
4b5o$ob2o4bo$obo5bo$2bo4bo$b3obo$b3o2$4b2o$6b2o$4bo2bo15bo$7bo13bo3bo$
5b2o19bo$bo19bo4bo$4bo17b5o$2b2o2$bob7o7bo$bo7bo5b2ob2o8b4o$bo7bo5bo2b
o7b7o$8bo9bo5b3ob3ob2o$5b2o8bo2bo5bob2o3b2o$15bo2bo$6bo9b3o9b2o$5bobo
23bo$4bo2bo24bo$5b2o21bo3bo$29b4o$19b2o$17b2ob2o$17b4o$6b2o10b2o$3b3ob
2o$3b5o$4b3o!
Same as p20

Code: Select all

x = 35, y = 38, rule = B3/S23
4b5o$ob2o4bo$obo5bo$2bo4bo$b3obo$b3o2$4b2o$6b2o$4bo2bo$7bo$5b2o$bo$4bo
$2b2o2$bob7o$bo7bo4b2o$bo7bo3b4o$8bo4b2ob2o$5b2o8b2o14b4o$30bo3bo$6bo
27bo$5bobo22bo2bo$4bo2bo$5b2o14b2o6bo$21b2o5bo2bo$16bo4b2o9bo$15b3o4bo
b2o6bo$14b2o6b5o4b2o$6b2o10b2o3b3o4bo$3b3ob2o18b2o$3b5o$4b3o$24b2o5b4o
$22b2ob2o3bo3bo$22b4o8bo$23b2o5bo2bo!
Transplanted it hither from unsure, seams new.
Christoph Reinthaler (Who has this weird c/10-fetish)
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Re: Spaceship Discussion Thread

Post by Haycat2009 » November 28th, 2023, 4:11 am

Just curious, are we more likely to find a spaceship with speed:
c/8o,
c/9o,
c/9d,
3c/10o,
c/7k,
c/8c?
~ Haycat Durnak, a hard-working editor
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Re: Spaceship Discussion Thread

Post by Sokwe » November 28th, 2023, 5:14 am

Haycat2009 wrote: ↑
November 28th, 2023, 4:11 am
 Just curious, are we more likely to find a spaceship with speed:
c/8o,
c/9o,
c/9d,
3c/10o,
c/7k,
c/8c?
Note that c/7k and c/8c are very non-standard. You should rather write (2,1)c/7 and (3,1)c/8.

This is a very hard question to answer. Without knowing anything else I would say lower period is more likely than higher period, slow is more likely than fast, and orthogonal is more likely than diagonal which is more likely than oblique.

Based on the above, (1,0)c/8 would be the next most likely, but that's already been searched up to logical width 10, while (1,0)c/9 has only been searched to logical width 8 (7 in the case of gutter symmetry). I believe a (1,0)c/9 search at logical width 9 would finish faster than a (1,0)c/8 search at logical width 11, so it depends on how likely it is that such a thin (1,0)c/9 ship exists.

The next most likely after (1,0)c/8 and (1,0)c/9 is either (1,1)c/9 or (2,1)c/7. The reason (1,1)c/9 is less likely than (1,0)c/9 mostly comes down to the fact that our tools for finding diagonal spaceships aren't quite as fast (WLS/JLS) or have limitations. I don't think any of the fastest programs (LSSS, LLSSS, ikpx2, qfind, zfind) allow symmetric (1,0)c/9 searches.

(2,1)c/7 is oblique and fast, which are two strikes against it, but it is the lowest period you listed. Also, LSSS and ikpx2 seem tolerably good at searching for oblique ships. The lack of good search tools for symmetric (1,1)c/9 ships may even make (2,1)c/7 more likely than (1,1)c/9.

(3,0)c/10 is both fast and high period. There's nothing really special about it except that it's the simplified speed of the natural pi propagation. It's very unlikely to be found any time soon, and I think there would generally be less interest in this speed which further reduces its chances. (2,0)c/9 is much more likely.

Finally, (3,1)c/8 is at the spaceship speed limit, so it's about as fast as can be. It's also oblique and fairly high period. I would say this one is the hardest to find but also the most desirable so an outsized level of attention could make it more likely than (3,0)c/10, but still less likely than any of the others.
-Matthias Merzenich
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Re: Spaceship Discussion Thread

Post by Haycat2009 » November 28th, 2023, 5:31 am

Sokwe wrote: ↑
November 28th, 2023, 5:14 am
 (3,0)c/10 is both fast and high period. There's nothing really special about it except that it's the simplified speed of the natural pi propagation. It's very unlikely to be found any time soon, and I think there would generally be less interest in this speed which further reduces its chances.
Yes, but given that we have stabilised the corder engine, why can we not stabilise the pi engine? Debris that moves with the pi exhaust will work (a la pi-r-squared spaceship)
Sokwe wrote: ↑
November 28th, 2023, 5:14 am
Haycat2009 wrote: ↑
November 28th, 2023, 4:11 am
 Just curious, are we more likely to find a spaceship with speed:
c/8o,
c/9o,
c/9d,
3c/10o,
c/7k,
c/8c?
slow is more likely than fast
How can we verify this? We found Sir Robin and Sir Sprayer (max speed), but not a c/7k spaceship yet. Same for diagonal ships. If this were true, would we not have found ridiculously slow naturalistic spaceships yet?
~ Haycat Durnak, a hard-working editor
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I mean no harm to those who have tested me. But do not take this for granted.
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Re: Spaceship Discussion Thread

Post by Sokwe » November 28th, 2023, 5:53 am

Haycat2009 wrote: ↑
November 28th, 2023, 5:31 am
 given that we have stabilised the corder engine, why can we not stabilise the pi engine?
Such a spaceship would have a period greater than 10. If we allow ships that are not the minimum period, then we already have all orthogonal and diagonal speeds (see Speed Orthogonoid and Speed Demonoid).
Haycat2009 wrote: ↑
November 28th, 2023, 5:31 am
Sokwe wrote: ↑
November 28th, 2023, 5:14 am
 slow is more likely than fast
How can we verify this? We found Sir Robin and Sir Sprayer (max speed), but not a c/7k spaceship yet. Same for diagonal ships. If this were true, would we not have found ridiculously slow naturalistic spaceships yet?
Notice that I also said "lower period is more likely than higher period", and period appears to have a greater impact than speed.

Edit: given a displacement (m,n) and a period p, it generally holds that (m,n)c/p ships are more common than (m,n)c/(p+1) ships.

Edit 2: Haycat2009, I have edited your two posts together and removed the unnecessarily long quotation from the first post. Please note rules 3(a) and 3(d). Do not post multiple posts in a row in the same topic (use the edit feature instead) and only quote the part of a post that is relevant to your own post.
-Matthias Merzenich
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Re: Spaceship Discussion Thread

Post by Sokwe » November 28th, 2023, 8:01 am

I have confirmed using Nicolay Beluchenko's version of WLS (WLS 6.3) that the following are the only two symmetric p5 c/5 diagonal spaceships of diagonal width 27:

Code: Select all

x = 78, y = 38, rule = B3/S23
9b3o38b3o$8bo40bo$7bo40bo$11b2o39b2o$8b2obo37b2obo$14b3o$11bo2b2o2b2o
31bo4bo$2bo8b2obo3b2o31b6o$bo2bo6bo2b2o26bo7bobo2b2o$o3bo36bo2bo4bo$o
11bo2bo24bo3bo3bo5bo2bo3b3o$o2b2ob3o3bo3b2ob2o19bo5b2o6bo6bo$3bo3bo2b
2o2bo2bo22bo2b2o2b2o6b2o2bo$17b2o2bo21bo3bo6bob2ob4o$5b4o3bo5bo3bo24bo
2b2obo6bo4bo$5b2obobo10bo25b2o3bo10bobo$5bo5bo6b2o26b3o3b2o5bo5bo$11b
3o36bo2bo4bo$6b2o5b2obo40bo3bo2b3obo$6b2o3bo4bo35b2o2bo2bobobo5bo$11bo
41b2o10bobo$13bobo34b2obo4b2o4b2ob2o$14bo35bo2bo8b2o$50bo4bo3bo2bo2bo
2bo$58bo2bo4bobo$54b3obob2obo3bo2bo$58bo5bo3bo3bo$60b2o3bo4bo3bo$58bo
2bob2obo7bo$59bo12bo2bo$65bobo6bo$77bo$66bo2bo4bo2bo$75bo$67b2obobo3bo
$69bo3bo$74bo$71b2o!
Incidentally, this proves that 86P5H1V1 is the unique width-27 gutter symmetric p5 c/5 diagonal spaceship.
-Matthias Merzenich
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Re: Spaceship Discussion Thread

Post by otismo » November 28th, 2023, 1:18 pm

Mr. T wrote: ↑
November 27th, 2023, 8:04 pm
Mr. T wrote: ↑
September 29th, 2023, 10:12 am
 c/2 LWSS backrake

Known? The frequency of the LWSSes depends only on the period of the Loaf-puffer - p16 in this case.

Code: Select all

x = 81, y = 33, rule = B3/S23
7b2o$2o2b3ob2o$2bob5o$5b3o$3bo$2b2o$5bo$6bo$5bobo$7b2o$4bob2o$5b2o65b
2o$2b3o64b3ob2o$bob2o64b5o$4bo65b3o2$2bo5b2o50b2o14b2o$2b6ob2o61b2o5bo
$3b7o61b3o6bo$4bob3o61b2o8bo$4bo64bo3b8o$5b2o63b6o$11bo7bo7bo7bo7bo7bo
19bo$3bo6bobo5bobo5bobo5bobo5bobo5bobo7b2ob2o$2bo3bo2bo2bo4bo2bo4bo2bo
4bo2bo4bo2bo4bo2bo8bobo14b2o$2bo2bo4b2o6b2o6b2o6b2o6b2o6b2o10bo13b2ob
2o$2b3o71b4o$65b4o8b2o$5bo58bo3bo$3bo3bo60bo$8bo55bo2bo$3bo4bo$4b5o!
The pattern can be built very compact:

Code: Select all

x = 34, y = 34, rule = B3/S23
4b5o$ob2o4bo$obo5bo$2bo4bo$b3obo$b3o2$4b2o$6b2o$4bo2bo15bo$7bo13bo3bo$
5b2o19bo$bo19bo4bo$4bo17b5o$2b2o2$bob7o7bo$bo7bo5b2ob2o8b4o$bo7bo5bo2b
o7b7o$8bo9bo5b3ob3ob2o$5b2o8bo2bo5bob2o3b2o$15bo2bo$6bo9b3o9b2o$5bobo
23bo$4bo2bo24bo$5b2o21bo3bo$29b4o$19b2o$17b2ob2o$17b4o$6b2o10b2o$3b3ob
2o$3b5o$4b3o!
Same as p20

Code: Select all

x = 35, y = 38, rule = B3/S23
4b5o$ob2o4bo$obo5bo$2bo4bo$b3obo$b3o2$4b2o$6b2o$4bo2bo$7bo$5b2o$bo$4bo
$2b2o2$bob7o$bo7bo4b2o$bo7bo3b4o$8bo4b2ob2o$5b2o8b2o14b4o$30bo3bo$6bo
27bo$5bobo22bo2bo$4bo2bo$5b2o14b2o6bo$21b2o5bo2bo$16bo4b2o9bo$15b3o4bo
b2o6bo$14b2o6b5o4b2o$6b2o10b2o3b3o4bo$3b3ob2o18b2o$3b5o$4b3o$24b2o5b4o
$22b2ob2o3bo3bo$22b4o8bo$23b2o5bo2bo!
Transplanted it hither from unsure, seams new.
Thank You for posting !

I am sure a framework or conduit can be constructed in C/10

that will allow faster speeds to run within - we already have ?

Your Flying Conduit SpaceShip, for example :

Code: Select all

x = 1211, y = 567, rule = B3/S23
593b2o$591b2o2b2o$593b2o$590bo6bo$591bo4bo$593b2o$590b3o2b3o$590b2o4b
2o3$593b2o$592bo2bo17$676b4o$676bo2bo$675b6o3$504b2o122bo45bo2b2o2bo6b
2o$502b2o2b2o119b2o45bob4obo6b2o$504b2o121bobo44bobo2bobo5bo2bo$501bo
6bo178b4o$502bo4bo178bob2obo$504b2o171b2o8bo2bo$501b3o2b3o168b2o$501b
2o4b2o177b2o2b2o$674b2o4b2o3bo6bo$674b3o2b3o$504b2o167bo2bo2bo2bo3bo4b
o$503bo2bo166b2ob4ob2o4bo2bo$674b8o6b2o$759b2o2b2o$685b2o4b2o66b2o2b2o
$684bo2bo2bo2bo64b3o2b3o$685b2o4b2o65b3o2b3o$686bo4bo$758bo6bo$758bo2b
2o2bo$698b2o59b6o$697bo2bo$697bo2bo$679b2o15bo4bo59b2o$679b2o15bo4bo
59b2o$697b4o$696b2o2b2o$696bo4bo$613b2o81bo4bo$613b2o$612bo2bo62bo$
612b4o61b2o18b4o$611bob2obo60bobo18b2o$415b2o122bo62b2o8bo2bo$413b2o2b
2o119b2o61bo2bo90b2o4b2o$415b2o121bobo60bo2bo6b2o2b2o69b3o5bo2bo2bo2bo
$412bo6bo180bo4bo4bo6bo28b2o37bo2bo6b3o2b3o$413bo4bo181bo4bo39bobo37bo
2b2o5b2o4b2o$415b2o184b4o6bo4bo30bo36bo4bo$412b3o2b3o180b2o2b2o6bo2bo
69bo3bo$412b2o4b2o180bo4bo7b2o50b4o16bo2bo$600bo4bo59bo2bo18bo$610b2o
4b2o46b6o$415b2o192bo2bo2bo2bo$414bo2bo183b4o5b2o4b2o66b2o$602b2o7bo4b
o46bo2b2o2bo13b2o$663bob4obo177b2o2b2o$599b2o4b2o56bobo2bobo54b2o121b
2o2b2o$598bo2bo2bo2bo118b2o119b3o2b3o$599b3o2b3o118bo121b3o2b3o$599b2o
4b2o59b2o$666b2o179bo6bo$847bo2b2o2bo$610b2o51b2o4b2o177b6o$611b2o50b
3o2b3o$610bo51bo2bo2bo2bo$662b2ob4ob2o178b2o$663b8o179b2o6$589bo$588b
2o69b4o16b2o$588bobo88b2o$326b2o122bo208bo2bo$324b2o2b2o119b2o207bob2o
bo$326b2o121bobo206bo4bo$323bo6bo$324bo4bo328bo4bo$326b2o330b2o2b2o$
323b3o2b3o327b6o$323b2o4b2o328bo2bo15b2o$660b2o16b3o$660b2o14b3o$326b
2o348bo$325bo2bo328b2o4b2o$657b2o4b2o10b3o$657b2o4b2o10bo261b2o2b2o$
675b3o136b2o121b2o2b2o$659bo2bo152b2o119b3o2b3o$814bo121b3o2b3o$560b2o
130b2o$561b2o116b2o10bo2bo241bo6bo$560bo118b2o9b2o2b2o240bo2b2o2bo$
690b2o2b2o241b6o$690bob2obo$692b2o$690bo4bo243b2o$689b2o4b2o242b2o3$
639bo52b2o$638b2o51bo2bo$638bobo50bo2bo$500bo$499b2o188b2o4b2o$499bobo
186bo2bo2bo2bo$237b2o122bo326bo2bo2bo2bo$235b2o2b2o119b2o327bobo2bobo$
237b2o121bobo$234bo6bo$235bo4bo$237b2o$234b3o2b3o437b2o$234b2o4b2o437b
obo$696b2o2b2o$680bo15b2o2b2o$237b2o440bo2bo12b3o2b3o$236bo2bo438b4o
13b3o2b3o61b2o$678b2o85b2o$681bo13bo6bo61bo261b2o2b2o$510b2o169b2o12bo
2b2o2bo200b2o121b2o2b2o$511b2o166bo2bo13b6o202b2o119b3o2b3o$510bo168b
3o221bo121b3o2b3o$680bo$698b2o325bo6bo$697bo2bo324bo2b2o2bo$697b4o325b
6o$696b2o2b2o$693bo2bo4bo2bo$696bo4bo326b2o$697b4o327b2o$693bo10bo$
679b2o13bo8bo$550bo115b2o11b2o$549b2o115b2o30b2o$549bobo113bo2bo$411bo
253b4o$410b2o252bob2obo$410bobo252bo2bo$148b2o122bo$146b2o2b2o119b2o
391b2o2b2o$148b2o121bobo389bo6bo$145bo6bo$146bo4bo512bo4bo$148b2o515bo
2bo$145b3o2b3o513b2o$145b2o4b2o$663b2o4b2o43b2o$662bo2bo2bo2bo43b2o$
148b2o513b2o4b2o43bo$147bo2bo309b2o202bo4bo183b2o$461b2o391b2o$460bo
392bo261b2o2b2o$676bo2bo312b2o121b2o2b2o$676bo2bo313b2o119b3o2b3o$675b
o4bo311bo121b3o2b3o$660b2o14bo3bo$659b4o13bo2bo3bo430bo6bo$678bo3bobo
429bo2b2o2bo$658b6o17bo2bo430b6o$659b4o19b2o2$658b2o2b2o453b2o$600bo
55b2obo2bob2o451b2o$599b2o58bo2bo$599bobo$461bo$78b2o380b2o198b2o$76b
2o2b2o378bobo197b2o$78b2o242bo$75bo6bo238b2o334bobo2bobo$76bo4bo239bob
o332bo2bo2bo2bo$78b2o103bo472bo8bo$75b3o2b3o99b2o472bo8bo13b2o$75b2o4b
2o99bobo471b2o6b2o13b2o$658b6o2$78b2o610b2o2b2o$77bo2bo611b2o$692b2o$
410b2o277bobo2bobo106b2o$411b2o276bo6bo107b2o$410bo392bo$689bo6bo245b
2o$690b2o2b2o247b2o$691b4o247bo261b2o2b2o$1081b2o121b2o2b2o$692b2o388b
2o119b3o2b3o$691bo2bo386bo121b3o2b3o2$690bo4bo507bo6bo$689b2o4b2o506bo
2b2o2bo$690bob2obo508b6o$650bo29bo10b4o$649b2o27b3o11b2o$649bobo25b2o
7b2o518b2o$511bo164bobo2bo4b2o518b2o$510b2o164bo3bob4ob2o$510bobo161bo
b2o2b6o2bo$372bo307b3o5bo$371b2o300bo2bo6b2o2bo10b2o$371bobo300bobo8bo
10b2o2b2o$115b2o116bo441bo2b2ob2o15b2o$114b2o116b2o443bo3bo13bo6bo$
116bo115bobo443bo17bo4bo$698b2o$695b3o2b3o$695b2o4b2o3$360b2o336b2o53b
2o$361b2o334bo2bo53b2o$360bo392bo$696bo4bo190b2o$679b2o14b2o4b2o190b2o
$679b2o13bo2bo2bo2bo188bo$694b2ob4ob2o327b2o$696bo4bo330b2o$1031bo$
665bo2bo501b2o$665bo2bo502b2o$664bo4bo500bo$664bo4bo$664bo4bo$664bo4bo
$663b3o2b3o$561bo101bob4obo$560b2o102bo4bo$560bobo$422bo$421b2o243b2o$
421bobo242b2o$165b2o116bo382b2o$164b2o116b2o380bo4bo$166bo115bobo377b
3o4b3o8b2o$661b3o6b3o6bo3bo$661b2o8b2o10bo$662b10o5bo5bo$663b8o6b2obo$
665b4o$310b2o369b2o20b2o$311b2o368b2o21b2o$310bo370b2o20bo$660b2o180b
2o$659bo2bo180b2o$659bo2bo179bo$658bo4bo317b2o$658bo4bo318b2o$659b4o
318bo$658b2o2b2o456b2o$658bo4bo457b2o$658bo4bo456bo3$659b4o$660b2o17b
2o$611bo67b2o$610b2o45b2o4b2o$610bobo43bo2bo2bo2bo$472bo184b3o2b3o$
471b2o184b2o4b2o$471bobo$215b2o116bo$214b2o116b2o357b4o$216bo115bobo
356bo2bo$690b6o3$689bo2b2o2bo$689bob4obo$260b2o427bobo2bobo$261b2o$
260bo$674bo17b2o98b2o$672bo19b2o99b2o$672bo4bo114bo$674bo3bo10b2o4b2o
234b2o$675b4o10b3o2b3o235b2o$670bo2bo3b2o9bo2bo2bo2bo233bo$671bo2bob3o
2bo6b2ob4ob2o372b2o$672b3o2bo3bo7b8o374b2o$674b3o4bo388bo$675bo4$661bo
$660b2o35b4o$660bobo$522bo174bo2bo$521b2o173bob2obo$521bobo172bo4bo$
265b2o116bo$264b2o116b2o312bo4bo$266bo115bobo311b2o2b2o$696b6o$679b2o
16bo2bo$679b2o17b2o$698b2o2$210b2o483b2o4b2o$211b2o482b2o4b2o$210bo
484b2o4b2o$742b2o$697bo2bo42b2o$742bo$666b2o213b2o$665bo2bo213b2o$664b
2o2b2o211bo$664b2o2b2o350b2o$664bob2obo351b2o$666b2o352bo$664bo4bo$
663b2o4b2o3$666b2o$665bo2bo$665bo2bo$572bo110bo$571b2o90b2o4b2o10b3o$
571bobo88bo2bo2bo2bo10bobo$315b2o116bo228bo2bo2bo2bo11b2o$314b2o116b2o
229bobo2bobo17b2o$316bo115bobo253b2o6$160b2o496b2o2b2o$161b2o495b2o2b
2o$160bo496b3o2b3o$657b3o2b3o27b2o$693b2o$657bo6bo27bo$657bo2b2o2bo
166b2o$658b6o15b2o151b2o$679b2o150bo$970b2o$660b2o309b2o$659bo2bo307bo
$659b4o$658b2o2b2o$655bo2bo4bo2bo$658bo4bo$659b4o$655bo10bo$656bo8bo$
622bo69b2o$621b2o37b2o30b2o$621bobo67bo2bo$365b2o116bo207b4o$364b2o
116b2o206bob2obo$366bo115bobo187b2o17bo2bo$671b3o$670bo2bo16b2o2b2o$
689bo6bo$671b2o$668bo3bo17bo4bo$110b2o557b3o2b3o14bo2bo$111b2o556b3o
20b2o$110bo$689b2o4b2o$688bo2bo2bo2bo$689b2o4b2o$690bo4bo85b2o$782b2o$
781bo$920b2o$921b2o$920bo$698b2o$697b4o2$24bo2bo86bo2bo578b6o$24bo2bo
86bo2bo579b4o$23bo4bo84bo4bo$23bo4bo84bo4bo560b2o15b2o2b2o$23bo4bo84bo
4bo553bo6b2o13b2obo2bob2o$23bo4bo84bo4bo552b2o24bo2bo$14b2o6b3o2b3o82b
3o2b3o6b2o543bobo$13bo2bo5bob4obo82bob4obo5bo2bo286b2o116bo$12b2o2b2o
5bo4bo84bo4bo5b2o2b2o284b2o116b2o164b2o$12b2o2b2o106b2o2b2o286bo115bob
o163b2o$12bob2obo106bob2obo$14b2o9b2o68b2o18b2o9b2o567bobo2bobo$12bo4b
o7b2o67bo2bo17b2o7bo4bo564bo2bo2bo2bo$11b2o4b2o6b2o67bo2bo17b2o6b2o4b
2o563bo8bo$23bo4bo64bo4bo14bo4bo575bo8bo$21b3o4b3o29b2o31bo4bo12b3o4b
3o573b2o6b2o$14b2o4b3o6b3o29b2o31b4o12b3o6b3o4b2o568b6o$13bo2bo3b2o8b
2o28bo32b2o2b2o11b2o8b2o3bo2bo556bo$13bo2bo4b10o62bo4bo12b10o4bo2bo
535b2o2b2o15b2o$22b8o63bo4bo13b8o546b2o$11b2o4b2o5b4o86b4o5b2o4b2o535b
2o$10bo2bo2bo2bo102bo2bo2bo2bo531bobo2bobo14bo2bo42b2o$10bo2bo2bo2bo
74b4o24bo2bo2bo2bo531bo6bo13bo3bo43b2o$11bobo2bobo4bobo69b2o26bobo2bob
o554bobo43bo$26bo636bo6bo15bo183b2o$22bo641b2o2b2o201b2o$4b2o15bo2b2o
110b2o527b4o201bo$2b2o2b2o14b2o110b2o2b2o$4b2o130b2o528b2o$bo6bo124bo
6bo524bo2bo$2bo4bo97b2o27bo4bo$4b2o98b2o30b2o526bo4bo$b3o2b3o97bo26b3o
2b3o522b2o4b2o$b2o4b2o108b2o14b2o4b2o523bob2obo$117b2o546b4o$666b2o$4b
2o88b3o39b2o$3bo2bo89bo38bo2bo326b2o116bo$95bo368b2o116b2o$2bo4bo126bo
4bo326bo115bobo$b2o4b2o124b2o4b2o$o2bo2bo2bo21b4o72b4o21bo2bo2bo2bo
518b2o$2ob4ob2o21bo2bo72bo2bo21b2ob4ob2o516b2o2b2o$2bo4bo15b2o5b6o70b
6o22bo4bo520b2o$23b2o632bo6bo14b2o$658bo4bo15b2o$29bo2b2o2bo68bo2b2o2b
o547b2o$29bob4obo68bob4obo544b3o2b3o$29bobo2bobo68bobo2bobo544b2o4b2o$
120bo$121bo2bo$32b2o36b3o35b2o14bo535b2o19b2o$32b2o36bo37b2o12bob2o
533bo2bo19b2o$71bo54bobo552bo$29b2o4b2o68b2o4b2o10bo4bo529bo4bo156b2o$
29b3o2b3o68b3o2b3o8b2obo3bo528b2o4b2o6b3o147b2o$28bo2bo2bo2bo66bo2bo2b
o2bo13bo528bo2bo2bo2bo5b3o146bo$28b2ob4ob2o66b2ob4ob2o7bo4bo529b2ob4ob
2o4bo3b2o$29b8o68b8o9bo2bo532bo4bo5b3obo$669bo3bo2bo$669bob3obo15bo2bo
$670b3obo16bo2bo$690bo4bo$690bo4bo$690bo4bo$674b2o14bo4bo$25b2o17b3o
627b2o13b3o2b3o$46bo468b2o116bo55bob4obo$24b2o19bo468b2o116b2o56bo4bo$
516bo115bobo2$20bo671b2o$19bobo670b2o$18b2o2b2o668b2o$19b2ob2o666bo4bo
$19b2ob2o664b3o4b3o$21bo665b3o6b3o$687b2o8b2o$688b10o$689b8o$691b4o$
120b3o$120bo$121bo$698b2o70b2o$679b2o16bo2bo70b2o$679b2o16bo2bo69bo$
696bo4bo$696bo4bo$697b4o$696b2o2b2o$696bo4bo$696bo4bo2$130b4o546bo$23b
2o2b2o653bo14b4o$23b2o2b2o94b2o5bo2bo548bo15b2o$22b3o2b3o93b2o4bob2obo
430b2o116b2o$22b3o2b3o99bo4bo429b2o116bobo10b2o4b2o$566bo116b3o8bo2bo
2bo2bo$22bo6bo99bo4bo550bo9b3o2b3o$22bo2b2o2bo99b2o2b2o548b2o10b2o4b2o
$23b6o100b6o548b2o$130bo2bo$131b2o532b4o$25b2o104b2o532bo2bo10b2o$17b
2o5bo2bo636b6o9b2o$17b2o5b4o100b2o4b2o$23b2o2b2o99b2o4b2o$20bo2bo4bo2b
o96b2o4b2o527bo2b2o2bo$23bo4bo634bob4obo$24b4o102bo2bo529bobo2bobo$20b
o10bo$21bo8bo$666b2o52b2o$25b2o639b2o53b2o$720bo$663b2o4b2o$663b3o2b3o
$662bo2bo2bo2bo$662b2ob4ob2o$663b8o5$679b2o$615b2o63bo$614b2o43b4o$
616bo$659bo2bo$658bob2obo$658bo4bo$680bo$658bo4bo12bo3bo$658b2o2b2o13b
o2bo$658b6o13b2ob2o$659bo2bo15bobo$660b2o17bo$660b2o2$657b2o4b2o$657b
2o4b2o$657b2o4b2o2$659bo2bo22b2o2b2o$679b2o4b2o2b2o$679b2o3b3o2b3o$
684b3o2b3o2$684bo6bo$684bo2b2o2bo$685b6o3$687b2o$686bo2bo$665b2o19b4o$
664b2o19b2o2b2o$666bo15bo2bo4bo2bo$685bo4bo$686b4o$682bo10bo$683bo8bo
2$687b2o!
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Anivec
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Re: Spaceship Discussion Thread

Post by Anivec » November 28th, 2023, 4:05 pm

Mr. T wrote: ↑
November 27th, 2023, 8:04 pm
Mr. T wrote: ↑
September 29th, 2023, 10:12 am
 c/2 LWSS backrake

Known? The frequency of the LWSSes depends only on the period of the Loaf-puffer - p16 in this case.

Code: Select all

x = 81, y = 33, rule = B3/S23
7b2o$2o2b3ob2o$2bob5o$5b3o$3bo$2b2o$5bo$6bo$5bobo$7b2o$4bob2o$5b2o65b
2o$2b3o64b3ob2o$bob2o64b5o$4bo65b3o2$2bo5b2o50b2o14b2o$2b6ob2o61b2o5bo
$3b7o61b3o6bo$4bob3o61b2o8bo$4bo64bo3b8o$5b2o63b6o$11bo7bo7bo7bo7bo7bo
19bo$3bo6bobo5bobo5bobo5bobo5bobo5bobo7b2ob2o$2bo3bo2bo2bo4bo2bo4bo2bo
4bo2bo4bo2bo4bo2bo8bobo14b2o$2bo2bo4b2o6b2o6b2o6b2o6b2o6b2o10bo13b2ob
2o$2b3o71b4o$65b4o8b2o$5bo58bo3bo$3bo3bo60bo$8bo55bo2bo$3bo4bo$4b5o!
The pattern can be built very compact:

Code: Select all

x = 34, y = 34, rule = B3/S23
4b5o$ob2o4bo$obo5bo$2bo4bo$b3obo$b3o2$4b2o$6b2o$4bo2bo15bo$7bo13bo3bo$
5b2o19bo$bo19bo4bo$4bo17b5o$2b2o2$bob7o7bo$bo7bo5b2ob2o8b4o$bo7bo5bo2b
o7b7o$8bo9bo5b3ob3ob2o$5b2o8bo2bo5bob2o3b2o$15bo2bo$6bo9b3o9b2o$5bobo
23bo$4bo2bo24bo$5b2o21bo3bo$29b4o$19b2o$17b2ob2o$17b4o$6b2o10b2o$3b3ob
2o$3b5o$4b3o!
Same as p20

Code: Select all

x = 35, y = 38, rule = B3/S23
4b5o$ob2o4bo$obo5bo$2bo4bo$b3obo$b3o2$4b2o$6b2o$4bo2bo$7bo$5b2o$bo$4bo
$2b2o2$bob7o$bo7bo4b2o$bo7bo3b4o$8bo4b2ob2o$5b2o8b2o14b4o$30bo3bo$6bo
27bo$5bobo22bo2bo$4bo2bo$5b2o14b2o6bo$21b2o5bo2bo$16bo4b2o9bo$15b3o4bo
b2o6bo$14b2o6b5o4b2o$6b2o10b2o3b3o4bo$3b3ob2o18b2o$3b5o$4b3o$24b2o5b4o
$22b2ob2o3bo3bo$22b4o8bo$23b2o5bo2bo!
Transplanted it hither from unsure, seams new.
A different spaceship can filter out the lwsses

Code: Select all

x = 38, y = 47, rule = B3/S23
7b2o$2o2b3ob2o$2bob5o$5b3o$3bo$2b2o$5bo$6bo$5bobo$7b2o$4bob2o$5b2o$2b
3o$bob2o$4bo2$2bo5b2o$2b6ob2o$3b7o6b4o$4bob3o6bo3bo$4bo14bo15b2o$5b2o
8bo2bo14b2ob2o$33b4o$3bo30b2o$2bo3bo$2bo2bo16b2o$2b3o11b3o3b2o9bo$16b
3o14b2o$5bobo7bo3bo12bob2o$4bo4bo5b4o13bobo$10bo5b3o13b2o$10bo$5bo3b2o
$4bo3bo15bo2bo$5bo22bo6b2o$24bo3bo4b2ob2o$7b6o12b4o4b4o$4bo7bo21b2o$4b
o7bo$5b3o3bo3$6b6o$5bo5bo$11bo$5bo4bo$7b2o!
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Period1GliderGun
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Re: Spaceship Discussion Thread

Post by Period1GliderGun » November 28th, 2023, 4:40 pm

AlbertArmStain wrote: ↑
November 28th, 2023, 4:05 pm
 A different spaceship can filter out the lwsses
An LWSS can filter out the LWSSes:

Code: Select all

x = 38, y = 38, rule = B3/S23
7b2o$2o2b3ob2o$2bob5o$5b3o$3bo$2b2o$5bo$6bo$5bobo$7b2o$4bob2o$5b2o$2b
3o$bob2o$4bo2$2bo5b2o$2b6ob2o$3b7o6b4o$4bob3o6bo3bo$4bo14bo15b2o$5b2o
8bo2bo14b2ob2o$33b4o$3bo30b2o$2bo3bo$2bo2bo16b2o$2b3o11b3o3b2o9bo$16b
3o14b2o$5bo2bo6bo3bo12bob2o$9bo5b4o13bobo$5bo3bo6b3o13b2o$6b4o2$24bo2b
o$28bo6b2o$24bo3bo4b2ob2o$25b4o4b4o$34b2o!
Currently on another planet.

Code: Select all

x = 36, y = 9, rule = B3/S23
23bobo$21bo3bo$13bo7bo$12b4o4bo4bo8b2o$11b2obobo4bo12b2o$2o8b3obo2bo3b
o3bo$2o9b2obobo6bobo$12b4o$13bo!
[[ STEP 30 ]]
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Sokwe
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Posts: 3367
Joined: July 9th, 2009, 2:44 pm

Re: Spaceship Discussion Thread

Post by Sokwe » November 28th, 2023, 9:03 pm

I have confirmed using Nicolay Beluchenko's version of WLS (WLS 6.3) that 67P5H1V1 is the only p5 c/5 diagonal spaceships of diagonal width 15.

The next thinnest known p5 c/5 diagonal spaceship appears to be this width-19 ship found by Adam P. Goucher:

Code: Select all

x = 65, y = 58, rule = B3/S23
5b3o$4bo3b2o$3b2o3bo$2bo5bo$bob2o4b2o$2o2bo6bo$3b2o2bo$3b2ob2o$4bo$5b
5o$6bo2b3o2b2o$9bob2o2bob2o$9bo3bobo2bo$10b5o5b2o$9bo2bo2bo6bo$20bo2bo
$16b3o$16bo5b2ob2o$15bo11bo$16b2o7b2o2$27bo4b2o$26b4ob2o$25b2o2b2o$25b
2o2b2o$25b2o8b3o$31b2obo4bo$31b2obo4bo$32b2o4b2o$38bo$37bo$35bo4bo$37b
2obo2$37b2ob2o2b3o$37bo2b2o2b3o$38bo3bo3bo$42b2ob3obo$43bob2obobo$43bo
bo5bo$51b3o$49b2ob2o$48b2ob2o$48b2o2b2o$50b2o2bo$52bo2bo$50b2o$48b2o3b
2o$50bob2o2bo$54bob3o2$59b3o$60bo$61bobo$62bo$63bo$63b2o$63b2o!
However, I suspect there are at least a few more ships of widths below 19.
-Matthias Merzenich
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C_R_116
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Re: Spaceship Discussion Thread

Post by C_R_116 » November 30th, 2023, 1:30 am

Small c/4 Tagalong. Unfortunately, the Sparking ships required can be large:

Code: Select all

x = 85, y = 39, rule = B3/S23
b2o$2o$2bo60b3o$4bo58bo$3bobo50b3o6bo$2b2o52bo6bobo$2b2o53bo4b2ob4o$2b
o56b4ob5ob2o$3b3o54b2o7b2obo$7b3o$6b4o$6bo59bo2bo$5bobo2b2o53b5obo$5b
2o3b2o53bo6bo$6bo2bob3o52bob2o3bo$6bo5bo2b2o57bo$7bo3bo2b4o41b2o10bobo
$11bo3bob3o5bo10b2o20b2o3bo$12bo7bo3b5o6b2o23bob2o8bo2bo$16b5o3bo2b2o
8bo7b2o9bo5b3o7bo2bo$16b2obo6b2obo5b2o6b3obo7b2o5bo10bob2obo$20bo14b2o
3bob2o11bobo6b2o7b2o2bobo$19b3o7bobo6b2o25b3o6bo5bo$34b3obo4bo13b3o5bo
3bo4bo$19bo2b2o7b3o3bo4bo13b3o7bo2bo9bo$22bo2bo6bo7bo17bobo6b2ob2o5bo$
21b2o2bo6bo6bo20b3o7b2o$25bobo33bobo4bo2bo6b2o3b2o$28b2o5bo25bo2bo6bob
2o2bob2ob2o$28b3o33bobo2b3o4bo6b2o$24bo11b2o3b2o19b2o4bo7b2o5bo$23b4o
4b2o2bob2ob2o22b2o2bo8bo5bo$23bo2b2o6bo6b2o21b5o$25bob2o5b2o5bo35bo$
26bo8bo5bo25bo8b5o$27b2o38bo8bobo$35bo$34b5o$34bobo!
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