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Spaceship Discussion Thread

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.

Re: Spaceship Discussion Thread

Postby Sokwe » February 21st, 2016, 8:39 pm

velcrorex wrote:A medium sized c/5 orthogonal I hadn't seen before... I know people were keeping track of small c/4 ships, any similar work on c/5?

There currently aren't many known small c/5 ships, so I didn't see much of a reason for collecting the smallest ones. I think this new ship happens to be the 14th smallest:
x = 614, y = 95, rule = B3/S23
9bo7bo54bo54bo41bo7bo48bo7bo13b2o5b2o28b2o5b2o5b2o5b2o33bo48b2o5b2o5b
2o5b2o62bo58bo36b2o$3b2obobob2o3b2obobob2o46b2ob2o50b2ob2o33b2obobob2o
3b2obobob2o36b2obobob2o3b2obobob2o6bo2bo3bo3bo24bo3bo3bo2bo3bo2bo3bo3b
o28b3obo45bo3bo3bo2bo3bo2bo3bo3bo58b2ob2o54b2ob2o30bob2obo3bo$3obob3o
9b3obob3o42b3o52b3o33b3obob3o9b3obob3o30b3obob3o9b3obob3o4b3obobo3bo
24bo3bobob3o5b3obobo3bo27bo50bo3bobob3o5b3obobo3bo57b3o56b3o33b2o7b2o$
o3bobo5bobo5bobo3bo39b2o3bo49b2o3bo33bo3bobo5bobo5bobo3bo30bo3bobo5bob
o5bobo3bo2b3o2b2o5bo24bo5b2o2b3ob3o2b2o5bo28b2o2bo45bo5b2o2b3ob3o2b2o
5bo54b2o3bo53b2o3bo35bob2o5bo$4b2o6bobo6b2o43bo3bo50bo3bo38b2o6bobo6b
2o38b2o6bobo6b2o13b3ob2o24b2ob3o15b3ob2o29bo2bo45b2ob3o15b3ob2o54bo3bo
54bo3bo35b2o2b2o3b3o7bo$b2o9bobo9b2o135b2o9bobo9b2o32b2o9bobo9b2o15bo
21bo2bo25bo30b3o42bo2bo25bo157b2o4b2o6bobo$b2ob2o15b2ob2o36bo3b3o48bo
3b3o37b2ob2o15b2ob2o32b2ob2o15b2ob2o10bo3bo22b2o2bo3bo15bo3bo34b2o40b
2o2bo3bo15bo3bo51bo3b3o52bo3b3o44b3obo6bo2b2o$5bo15bo39bobo52bobo46bo
15bo6bo33bo15bo14bo2bo19b2o4bo2bo2bo15bo2bo27b3o4bo38b2o4bo2bo2bo15bo
2bo51bobo56bobo49b2o3bob3o4bo$60bo2bo51bo2bo69b2o85b3obobo55bo42b3obob
o76bo2bo55bo2bo50b3o4b2o4bo2b3o2b2o$62b2o53b2o68bobo85bo61bo2bobo37bo
84b2o57b2o53b5o6bo4bo2b2o$59bo2bo4bo46bo2bo4bo65b3o86b2o58b2o3bo39b2o
78bo2bo4bo50bo2bo4bo50b2o11bo$60b3o2bobo47b3o2bobo66b3o85b2o59bo3bo39b
2o79b3o2bobo51b3o2bobo63bobobo6bobo$65b3o52b3o66bo2bo141b2o6bo125b3o
56b3o67b2o3bo3b2o$60bob4o49bob4o68bobo82b3o56bo2b2ob2o38b3o81bob4o53bo
b4o66bo3bo3bo2bo$59bo54bo74bo86bo57bo3b3o40bo80bo58bo71b2o2bo3b2o6b3o$
60bo54bo73b2o82bo3bo61bobo36bo3bo80bo58bo76bobo4b2ob4o$57bo2bobo49bo2b
obo72bo82bo4bo57b2o2b2o36bo4bo76bo2bobo53bo2bobo73b2o2bo2bob2o4bo$57b
2o53b2o73bobo83bo63b6o35bo81b2o57b2o80bo3bo7bo$53b2o4bo48b2o4bo72bo85b
5o64b2o34b5o73b2o4bo52b2o4bo87bo$52b3obobo48b3obobo72b2o151bobo2bo110b
3obobo52b3obobo89bo$52bo54bo78b2o148bo4bobo111bo58bo$54b2o53b2o230bo
112bo2b2o54bo2b2o$54b2o53b2o225b2o42b2o72b3obo54b3obo$336bo42bobo69bo
2bo3b2o50bo2bo3b2o$51b3o52b3o230bo111b2o2b2o53b2o2b2o$53bo54bo229bob2o
38bo66b2o4bo4b2o46b2o4bo4b2o$50bo3bo50bo3bo226bo4bo38b3o63b3obobo52b3o
bobo$50bo4bo49bo4bo224bob6o103bo58bo$50bo54bo228bo113b2o57b2o$50b5o50b
5o227bo110b2o57b2o$335b3o$445b3o56b3o$447bo58bo$107b2o226bo108bo3bo54b
o3bo$106bobo226b2obo105bo4bo53bo4bo$337bob2o103bo58bo$107bo230bobo103b
5o54b5o$107b3o227b2ob2o3$390b2o5b2o5b2o5b2o92b2o$388bo3bo3bo2bo3bo2bo
3bo3bo89bobo$388bo3bobob3o5b3obobo3bo$388bo5b2o2b3ob3o2b2o5bo90bo$388b
2ob3o15b3ob2o90b3o$385bo2bo25bo$385b2o2bo3bo15bo3bo$381b2o4bo2bo2bo15b
o2bo$380b3obobo$380bo$127bo254b2o150bo$125b2ob2o252b2o148b2ob2o$124b3o
404b3o$121b2o3bo252b3o146b2o3bo$121bo3bo255bo146bo3bo$378bo3bo$117bo3b
3o254bo4bo140bo3b3o$116bobo259bo144bobo$115bo2bo259b5o139bo2bo$117b2o
405b2o$114bo2bo4bo398bo2bo4bo$115b3o2bobo399b3o2bobo$120b3o256b2o146b
3o$115bob4o257bobo141bob4o$114bo406bo$115bo263bo142bo$112bo2bobo261b3o
137bo2bobo$112b2o405b2o$108b2o4bo400b2o4bo$107b3obobo400b3obobo$107bo
406bo$109b2o402bo2b2o$109b2o402b3obo$510bo2bo3b2o$106b3o401b2o2b2o$
108bo397b2o4bo4b2o$105bo3bo395b3obobo$105bo4bo394bo$105bo401b2o$105b5o
397b2o2$504b3o$506bo$106b2o395bo3bo$105bobo395bo4bo$503bo$106bo396b5o$
106b3o3$504b2o$503bobo2$504bo$504b3o!


Almost all of the known small c/5 orthogonal spaceships can be built from components found in this collection:
x = 1247, y = 225, rule = B3/S23
9bo7bo72bo11bo11bo11bo11bo11bo12bo11bo12bo11bo11bo11bo11bo11bo27bo11bo
60bo26bo25bo24bo25bo25bo25bo24bo47b2o2bo4bo2b2o12b2o2bo4bo2b2o16bo10bo
16bo10bo46b2o45bo7bo13b2o5b2o130bo7bo161bo7bo74bo7bo25bo7bo$3b2obobob
2o3b2obobob2o64b2obobo5bobob2o7b2obobo5bobob2o7b2obobo5bobob2o8b2obobo
5bobob2o8b2obobo5bobob2o7b2obobo5bobob2o7b2obobo5bobob2o23b2obobo5bobo
b2o58bo26bo25bo24bo25bo25bo25bo24bo25b2o18b2ob5o2b5ob2o8b2ob5o2b5ob2o
13bobo8bobo14bobo8bobo44b3o39b2obobob2o3b2obobob2o6bo2bo3bo3bo122b2obo
bob2o3b2obobob2o149b2obobob2o3b2obobob2o62b2obobob2o3b2obobob2o13b2obo
bob2o3b2obobob2o$3obob3o9b3obob3o64bob2o3b2obo13bob2o3b2obo13bob2o3b2o
bo14bob2o3b2obo14bob2o3b2obo13bob2o3b2obo13bob2o3b2obo29bob2o3b2obo61b
o26bo25bo24bo25bo25bo25bo24bo25b2o22bo2bo2bo2bo16bo2bo2bo2bo17bobo8bob
o14bobo8bobo45b2o36b3obob3o9b3obob3o4b3obobo3bo119b3obob3o9b3obob3o
143b3obob3o9b3obob3o56b3obob3o9b3obob3o7b3obob3o9b3obob3o$o3bobo5bobo
5bobo3bo61b2obo3bobo3bob2o7b2obo3bobo3bob2o7b2obo3bobo3bob2o8b2obo3bob
o3bob2o8b2obo3bobo3bob2o7b2obo3bobo3bob2o7b2obo3bobo3bob2o23b2obo3bobo
3bob2o54bo3bo3bo18bo3bo3bo17bo3bo3bo16bo3bo3bo17bo3bo3bo17bo3bo3bo17bo
3bo3bo16bo3bo3bo19bob2obo22b2o2b2o20b2o2b2o16b2o2bo10bo2b2o8b2o2bo10bo
2b2o39b2o39bo3bobo5bobo5bobo3bo2b3o2b2o5bo119bo3bobo5bobo5bobo3bo143bo
3bobo5bobo5bobo3bo56bo3bobo5bobo5bobo3bo7bo3bobo5bobo5bobo3bo$4b2o6bob
o6b2o65b3o2bobobobo2b3o7b3o2bobobobo2b3o7b3o2bobobobo2b3o8b3o2bobobobo
2b3o8b3o2bobobobo2b3o7b3o2bobobobo2b3o7b3o2bobobobo2b3o23b3o2bobobobo
2b3o51bobob2obob2obobo12bobob2obob2obobo11bobob2obob2obobo10bobob2obob
2obobo11bobob2obob2obobo11bobob2obob2obobo11bobob2obob2obobo10bobob2ob
ob2obobo14b3o4b3o15b2o2b2o4b2o2b2o10b2o2b2o4b2o2b2o11b2o3bo8bo3b2o8b2o
3bo8bo3b2o36b4o44b2o6bobo6b2o13b3ob2o123b2o6bobo6b2o151b2o6bobo6b2o64b
2o6bobo6b2o15b2o6bobo6b2o$b2o9bobo9b2o67bobobobo17bobobobo17bobobobo
18bobobobo18bobobobo17bobobobo17bobobobo33bobobobo55b2obobob3obobob2o
10b2obobob3obobob2o9b2obobob3obobob2o8b2obobob3obobob2o9b2obobob3obobo
b2o9b2obobob3obobob2o9b2obobob3obobob2o8b2obobob3obobob2o10b2o12b2o15b
3o4b3o16b3o4b3o15b2o3bo6bo3b2o10b2o3bo6bo3b2o36bo45b2o9bobo9b2o15bo82b
o3b3o5b3o3bo10bo8b2o9bobo9b2o145b2o9bobo9b2o58b2o9bobo9b2o9b2o9bobo9b
2o$b2ob2o15b2ob2o64bo2bobobobo2bo11bo2bobobobo2bo11bo2bobobobo2bo12bo
2bobobobo2bo12bo2bobobobo2bo11bo2bobobobo2bo11bo2bobobobo2bo25b2o3bobo
bobo3b2o49bo3bo9bo3bo8bo3bo9bo3bo7bo3bo9bo3bo6bo3bo9bo3bo7bo3bo9bo3bo
7bo3bo9bo3bo7bo3bo9bo3bo6bo3bo9bo3bo9b2o2bob4obo2b2o13bo3bo4bo3bo12bo
3bo4bo3bo13b4o2bo4bo2b4o10b4o2bo4bo2b4o36b2o44b2ob2o15b2ob2o10bo3bo80b
2ob5ob2o3b2ob5ob2o5bo2bo7b2ob2o15b2ob2o145b2ob2o15b2ob2o58b2ob2o15b2ob
2o9b2ob2o15b2ob2o$5bo15bo69bobobobobobo13bobobobobobo13bobobobobobo14b
obobobobobo14bobobobobobo13bobobobobobo13bobobobobobo29bobobobobobo52b
obobob2o3b2obobobo8bobobob2o3b2obobobo7bobobob2o3b2obobobo6bobobob2o3b
2obobobo7bobobob2o3b2obobobo7bobobob2o3b2obobobo7bobobob2o3b2obobobo6b
obobob2o3b2obobobo13bobo2bobo14bo18bo6bo18bo14bob2o2b2obo18bob2o2b2obo
37b2ob3o47bo15bo14bo2bo79bob2obo5bobobobo5bob2obo3bo2bo3b2o6bo15bo145b
2o6bo15bo66bo15bo6bo3bo6bo15bo$91b3obobob3o13b3obobob3o13b3obobob3o14b
3obobob3o14b3obobob3o13b3obobob3o13b3obobob3o29b4o3b4o56b2obo3bob2o16b
2obo3bob2o15b2obo3bob2o14b2obo3bob2o15b2obo3bob2o15b2obo3bob2o15b2obo
3bob2o14b2obo3bob2o39bob2o5b2o5b2obo6bob2o5b2o5b2obo14b4o2b4o18b4o2b4o
35b2ob3o162bo3bobo3b5ob5o3bobo3bobo4bo2b2o167b2o113b2ob2o$89bo2b3o3b3o
2bo9bo2b3o3b3o2bo9bo2b3o3b3o2bo10bo2b3o3b3o2bo10bo2b3o3b3o2bo9bo2b3o3b
3o2bo9bo2b3o3b3o2bo26bobo7bobo52b2obo9bob2o10b2obo9bob2o9b2obo9bob2o8b
2obo9bob2o9b2obo9bob2o9b2obo9bob2o9b2obo9bob2o8b2obo9bob2o13b2o6b2o14b
3o2bo2b2o2bo2b3o8b3o2bo2b2o2bo2b3o17b2o2b2o22b2o2b2o42bo166b3o5b2o3b2o
5b3o5bo4bo4bo149bo10bo3bo$94b2ob2o19b2ob2o19b2ob2o20b2ob2o20b2ob2o19b
2ob2o19b2ob2o31b2o9b2o55b2o2bobo2b2o16b2o2bobo2b2o15b2o2bobo2b2o14b2o
2bobo2b2o15b2o2bobo2b2o15b2o2bobo2b2o15b2o2bobo2b2o14b2o2bobo2b2o13b6o
4b6o13bo4bo2bo4bo12bo4bo2bo4bo19bo4bo22bo4bo36bo3b3o163bo2bob3o13b3obo
2bo2bo158bobob2o6b2o4bo$89b2o11b2o9b2o11b2o9b2o11b2o10b2o11b2o10b2o11b
2o9b2o11b2o9b2o11b2o25b2o11b2o54bobobobobobo16bobobobobobo15bobobobobo
bo14bobobobobobo15bobobobobobo15bobobobobobo15bobobobobobo14bobobobobo
bo13bobo10bobo13bo2b2o4b2o2bo12bo2b2o4b2o2bo20bo2bo24bo2bo40b3ob3o162b
o23bo5bobob2o152bobo3bo2b2o7bo115bobo$89b2o11b2o9b2o11b2o9b2o11b2o10b
2o11b2o10b2o11b2o9b2o11b2o9b2o11b2o25b2o11b2o56bobobobo20bobobobo19bob
obobo18bobobobo19bobobobo19bobobobo19bobobobo17b2obobob2o14bob2o8b2obo
13bo5b2o5bo12bo5b2o5bo20bo2bo24bo2bo37b2ob3o201bo153b2obob5o2bo2bo116b
o3bo$90b3o7b3o11b3o7b3o11b3o7b3o12b3o7b3o12b3o7b3o11b3o7b3o11b3o7b3o
24bo4bo7bo4bo54bobobobo20bobobobo19bobobobo18bobobobo19bobobobo19bobob
obo19bobobobo18bobobobo15bob2o8b2obo12b2o12b2o10b2o12b2o20b2o26b2o42bo
3b2o350bo5bo2bo122bo2bo2bo$88b2o2bo7bo2b2o7b2o2bo7bo2b2o7b2o2bo7bo2b2o
8b2o2bo7bo2b2o8b2o2bo7bo2b2o7b2o2bo7bo2b2o7b2o2bo7bo2b2o95bobobobo20bo
bobobo15bo2b2obobob2o2bo14bobobobo15bo2b2obobob2o2bo15bobobobo15bo2b2o
bobob2o2bo13bo2bobo2bo13b2ob2o8b2ob2o11bo2bo2bo2bo2bo2bo10bo2bo2bo2bo
2bo2bo18b6o22b6o36bo5bo353bo2bo130b3o$88bobobo7bobobo7bobobo7bobobo7bo
bobo7bobobo8bobobo7bobobo8bobobo7bobobo7bobobo7bobobo7bobobo7bobobo22b
o4bo7bo4bo51b2obobobobob2o14b2obobobobob2o12bo2bob2ob2obo2bo11b2obobob
obob2o12bo2bob2ob2obo2bo12b2obobobobob2o12bo2bob2ob2obo2bo11b2obobobob
ob2o11b2obo10bob2o10b2o3b2o4b2o3b2o8b2o3b2o4b2o3b2o89bobo82bobo404bobo
$274b4o9b4o51bobobobobobobobo12bobobobobobobobo11bo3bobobobo3bo10bobob
obobobobobo11bo3bobobobo3bo11bobobobobobobobo11bo3bobobobo3bo13bo2bobo
2bo14bobo10bobo11bo2bob2o4b2obo2bo8bo2bob2o4b2obo2bo13b3o8b3o14b3o8b3o
33bobo82b4o4b2o5b2o5b2o252bo130bo3bo$90bo11bo11bo11bo11bo11bo12bo11bo
12bo11bo11bo11bo11bo11bo94bo2bobobobo2bo14bo2bobobobo2bo15bo2bobo2bo
14bo2bobobobo2bo15bo2bobo2bo15bo2bobobobo2bo15bo2bobo2bo15bobobobobobo
15bo10bo14b2o3b2o2b2o3b2o10b2o3b2o2b2o3b2o16bo8bo18bo8bo31b2o61bo7bo
13b2obo5bobo2bo3bo2bo3bo3bo249b3o126b2o7b2o$40bo48bobob2o3b2obobo9bobo
b2o3b2obobo9bobob2o3b2obobo10bobob2o3b2obobo10bobob2o3b2obobo9bobob2o
3b2obobo9bobob2o3b2obobo7b2o15b2o11b2o56bo2bobo2bo18bo2bobo2bo16bo3bob
o3bo15bo2bobo2bo16bo3bobo3bo16bo2bobo2bo16bo3bobo3bo15bo2bobo2bo16b2o
8b2o13bobo12bobo8bobo12bobo12bobo10bobo12bobo10bobo29b2o54b2obobob2o3b
2obobob2o6bobobo7b3o5b3obobo3bo249bo128b2o7b2o$4b2o15b2o17bo52b2o3b2o
17b2o3b2o17b2o3b2o18b2o3b2o18b2o3b2o17b2o3b2o17b2o3b2o11b3o13b3o11b2o
112bobo48bobo49bobo18b3obobob3o13b2obo8bob2o11bo16bo8bo16bo12bobo10bob
o12bobo10bobo25b2o2bo52b3obob3o9b3obob3o2b2obo3bo3b2o2b3ob3o2b2o5bo
247bobo127b2o2b2ob2o2b2o$4b3o13b3o17bo54bobo21bobo21bobo22bobo22bobo
21bobo21bobo13b2o15b2o9bob2obo107b2obobob2o42b2obobob2o43b2obobob2o14b
2o9b2o38bo2bo12bo2bo6bo2bo12bo2bo11b2o2b2o4b2o2b2o12b2o2b2o4b2o2b2o23b
2obobo53bo3bobo5bobo5bobo3bo2b3obo2b4o15b3ob2o246bo2bo129b2o5b2o$4b2o
15b2o13bo3bo3bo45bobob2ob2obobo11bobob2ob2obobo11bobob2ob2obobo12bobob
2ob2obobo12bobob2ob2obobo11bobob2ob2obobo11bobob2ob2obobo11b2o9b2o10b
3o4b3o52b3o3b3o18b3o3b3o19b2ob2o18b3o3b3o19b2ob2o19b3o3b3o41bo9bo12b4o
10b4o13b2o8b2o14b2o8b2o15bobo10bobo12bobo10bobo23b2o2bo58b2o6bobo6b2o
7b2ob2o25bo246bo129bo2b2obobob2o2bo$7b2o9b2o13bobob2obob2obobo44b2obob
ob2o15b2obobob2o15b2obobob2o16b2obobob2o16b2obobob2o15b2obobob2o15b2ob
obob2o14b4o3b4o8b2o12b2o46bo3b2o3b2o3bo12bo3b2o3b2o3bo14bo2bobo2bo13bo
3b2o3b2o3bo14bo2bobo2bo14bo3b2o3b2o3bo12b4obobob4o12bo11bo11b2obo10bob
2o14bo8bo16bo8bo21bo4bo22bo4bo29b2o57b2o9bobo9b2o29bo3bo246bo2bob2o
125b2o2bo3bo2b2o$8b4o3b4o13b2obobob3obobob2o44bobobobo17bobobobo17bobo
bobo18bobobobo18bobobobo17bobobobo17bobobobo19bobo12b2o2bob4obo2b2o45b
3o4bobo4b3o10b3o4bobo4b3o13bo7bo12b3o4bobo4b3o13bo7bo13b3o4bobo4b3o11b
o3bo3bo3bo13bo9bo12bobobobo4bobobobo11bo14bo10bo14bo18bo4bo22bo4bo29b
3o56b2ob2o15b2ob2o29bo2bo250bo$12bobo16bo3bo9bo3bo39b3obobobobob3o9b3o
bobobobob3o9b3obobobobob3o10b3obobobobob3o10b3obobobobob3o9b3obobobobo
b3o9b3obobobobob3o14b2ob2o15bobo2bobo53bo2bobo2bo18bo2bobo2bo17b2o5b2o
16bo2bobo2bo17b2o5b2o17bo2bobo2bo18bobobobo41bo4bo2bo4bo14bobo8bobo12b
obo8bobo15b6o2b6o14b6o2b6o24b2o62bo15bo158bobo124b3ob2o$11b2ob2o15bobo
bob2o3b2obobobo38bo6bobo6bo7bo6bobo6bo7bo6bobo6bo8bo6bobo6bo8bo6bobo6b
o7bo6bobo6bo7bo6bobo6bo12b3ob3o74bobobobobobo16bobobobobobo19bobo18bob
obobobobo19bobo19bobobobobobo37b2o13b2o11bobo2bo2bo2bobo14bo2bo6bo2bo
12bo2bo6bo2bo320bo2bo123b2ob3o$10b3ob3o18b2obo3bob2o45bo3bobo3bo13bo3b
obo3bo13bo3bobo3bo14bo3bobo3bo14bo3bobo3bo13bo3bobo3bo13bo3bobo3bo16b
2ob2o14b2o6b2o49bo5bobo5bo12bo5bobo5bo13bo9bo12bo5bobo5bo13bo9bo13bo5b
obo5bo13bo2bo3bo2bo10bobob3o5b3obobo9b2ob2o6b2ob2o15b3o4b3o16b3o4b3o
16bobo10bobo12bobo10bobo23bo2bo177b2o5b2o5b2o5b2o34bo2bo$11b2ob2o16b2o
bo9bob2o45b2ob2o19b2ob2o19b2ob2o20b2ob2o20b2ob2o19b2ob2o19b2ob2o19bo3b
o11b6o4b6o46bo5bobo5bo12bo5bobo5bo13bo2bobobo2bo12bo5bobo5bo12bo3bobob
o3bo12bo5bobo5bo12b3obo3bob3o10b2ob3o5b3ob2o10bobobob4obobobo13bo2bo6b
o2bo12bo2bo6bo2bo14b3o10b3o12b3o10b3o22b2o2b2o174bo3bo3bo2bo3bo2bo3bo
3bo3bo8bo16bob2o129b5o$11bo3bo19b2o2bobo2b2o42bo2b2o2bobo2b2o2bo7bo2b
2o2bobo2b2o2bo7bo2b2o2bobo2b2o2bo8bo2b2o2bobo2b2o2bo8bo2b2o2bobo2b2o2b
o7bo2b2o2bobo2b2o2bo7bo2b2o2bobo2b2o2bo12bo5bo10bobo10bobo47b5o3b5o14b
5o3b5o14b2o7b2o13b5o3b5o13b2obo5bob2o13b5o3b5o18bobo19b2o5b2o16bobo6bo
bo16b4ob2ob4o14b4ob2ob4o17b2o8b2o16b2o8b2o24b2o2b2o174bo3bobob3o5b3obo
bo3bo3bo7bobo14b5o129b5o$10bo5bo18bobobobobobo42bo2bob2o3b2obo2bo7bo2b
ob2o3b2obo2bo7bo2bob2o3b2obo2bo8bo2bob2o3b2obo2bo8bo2bob2o3b2obo2bo7bo
2bob2o3b2obo2bo7bo2bob2o3b2obo2bo13bo3bo11bob2o8b2obo102b9o96b2ob2o18b
o7bo15b2obo2b2o2bob2o17bobo2bobo18bobo2bobo19bo2b2o2b2o2bo16bo2b2o2b2o
2bo24bo2bo176bo5b2o2b3ob3o2b2o5bo3bo7bobo13bo2bo130bobo$11bo3bo21bobob
obo45b2o11b2o9b2o11b2o9b2o11b2o10b2o11b2o10b2o11b2o9b2o11b2o9b2o11b2o
13b3ob3o10bob2o8b2obo102b2obobob2o39b4o7b4o40b3o3b3o15b4o3b4o16bobob2o
bobo17bo3bo2bo3bo14bo3bo2bo3bo16b2o3bo2bo3b2o14b2o3bo2bo3b2o203b2ob3o
15b3ob2o5b2o2bo8bo10bo131b3o$10b3ob3o20bobobobo217b3obobob3o7b2ob2o8b
2ob2o49b3ob3o19bo3bo3bo40b4o2bo2b4o14b3o5b3o11b3ob2o25b2o5b2o15bo3bobo
3bo12b2o14b2o66bo14bo12bo14bo202bo25bo5bo2b3o2b2o3b2o4b2o3bo129b2obo$
8b3obobob3o18bobobobo45bobo9bobo9bobo9bobo9bobo9bobo10bobo9bobo10bobo
9bobo9bobo9bobo9bobo9bobo11bobobobobobo7b2obo10bob2o49b7o18bob2obob2ob
o15bo3bobo3bo16b3ob3o20bo3bo18b2o48b2o3bobo3b2o11b2o14b2o13bobo6bobo
14bobo6bobo16bo2b3o2b3o2bo14bo2b3o2b3o2bo92bo7bo37bo7bo57bo3bo15bo3bo
15bo4bo3b3o132bob3o$8bobobobobobo15b2obobobobob2o42bo2bo7bo2bo9bo2bo7b
o2bo9bo2bo7bo2bo10bo2bo7bo2bo10bo2bo7bo2bo9bo2bo7bo2bo9bo2bo7bo2bo12bo
2bobo2bo9bobo10bobo50bo5bo19b3obob3o15bo3b2ob2o3bo12b2obo2bo2bob2o12bo
bo2bobobo2bobo13b3o26b2ob2o17bobobobobobo13bo14bo15bo8bo16bo8bo145b2ob
obob2o3b2obobob2o25b2obobob2o3b2obobob2o52bo2bo15bo2bo8bobo13bo4bo101b
o7bo19bo3bo$9bo2bobo2bo15bobobobobobobobo41bo3bo5bo3bo9bo3bo5bo3bo9bo
3bo5bo3bo10bo3bo5bo3bo10bo3bo5bo3bo9bo3bo5bo3bo9bo3bo5bo3bo12bo2bobo2b
o11bo2b2o2b2o2bo51bo7bo17b2o7b2o15b2ob2ob2ob2o17b5o15bob2ob2o3b2ob2obo
12b2o28bobo18b2ob2ob2ob2o13b2o12b2o71bobo2bobo20bobo2bobo86b3obob3o9b
3obob3o6b2o3b2o6b3obob3o9b3obob3o91b2o3b5o96b2obobob2o3b2obobob2o13bob
o$9bo2bobo2bo16bo2bobobobo2bo44bo2bo3bo2bo13bo2bo3bo2bo13bo2bo3bo2bo
14bo2bo3bo2bo14bo2bo3bo2bo13bo2bo3bo2bo13bo2bo3bo2bo13b3obobob3o9bo4bo
2bo4bo51bo5bo18b3o5b3o17b3ob3o18bo5bo44b3o25bo3bo17bo2bo3bo2bo13b2obo
8bob2o15b3ob2ob3o17b2o4b2o143bo3bobo5bobo5bobo3bo6b2obob2o6bo3bobo5bob
o5bobo3bo91b3ob2o2bo94b3obob3o9b3obob3o8bo$8b3obobob3o17bo2bobo2bo46b
2o7b2o13b2o7b2o13b2o7b2o14b2o7b2o14b2o7b2o13b2o7b2o13b2o7b2o12bo4bobo
4bo14b2o58bobobo18b2o9b2o16b2o3b2o18b7o16b3ob5ob3o15b3o47bobobobobobo
12bo3bo8bo3bo13b2obo4bob2o12b2obobo4bobob2o15b2o2bo2bo2b2o16b2o2bo2bo
2b2o88b2o6bobo6b2o6b3o3bobo3b3o6b2o6bobo6b2o97bo100bo3bobo5bobo5bobo3b
o6b2o$7bo4bobo4bo241bo3bobo3bo14bo2bo56b2o3b2o44bob2o3b2obo12b3o9b3o
13bob2o3b2obo15bo29bobo22bobo22b6o19b2obob2obob2o12b2obobo4bobob2o13bo
bo3bo2bo3bobo12bobo3bo2bo3bobo83b2o9bobo9b2o21b2o9bobo9b2o199b2o6bobo
6b2o8bo$8bo3bobo3bo72bob3ob3obo13bob3ob3obo13bob3ob3obo14bob3ob3obo14b
ob3ob3obo13bob3ob3obo13bob3ob3obo14bo7bo99bo2bo5bo2bo13bo11bo12b2ob2o
3b2ob2o13bobob5obobo13bobo27bo3bo46b2o2b2o18bo4bo2bo4bo14bo2b4o2bo16b
2o3bo4bo3b2o12b2o3bo4bo3b2o83b2ob2o15b2ob2o4b2o9b2o4b2ob2o15b2ob2o196b
2o9bobo9b2o3b2o4bo$9bo7bo18b3o3b3o44b2o2b3ob3o2b2o9b2o2b3ob3o2b2o9b2o
2b3ob3o2b2o10b2o2b3ob3o2b2o10b2o2b3ob3o2b2o9b2o2b3ob3o2b2o9b2o2b3ob3o
2b2o9bobo9bobo8b4o4b4o75b2o2b2o3b2o2b2o11bo13bo42b3o19bo27bo2bo2bo18bo
bobobo17b3o6b3o16bo4b2o4bo15bobob2obobo17bo12bo14bo12bo51b2o35bo15bo
29bo15bo6bo193b2ob2o15b2ob2o6bobo$6bobo9bobo12bo3b2o3b2o3bo41b2o2bo5bo
2b2o9b2o2bo5bo2b2o9b2o2bo5bo2b2o10b2o2bo5bo2b2o10b2o2bo5bo2b2o9b2o2bo
5bo2b2o9b2o2bo5bo2b2o10b2o9b2o6b3o2b2ob2ob2o2b3o72b2o2b2o3b2o2b2o10b2o
3bo5bo3b2o41bobo22bo26b3o19b3obob3o14b2obo8bob2o13bobob6obobo12bobobo
4bobobo13bobo12bobo10bobo12bobo48b3o104b2o196bo15bo$7b2o9b2o12b3o4bobo
4b3o41b2o9b2o11b2o9b2o11b2o9b2o12b2o9b2o12b2o9b2o11b2o9b2o11b2o9b2o9bo
15bo6bo5b2o5bo74bo2bo7bo2bo10b2obo9bob2o12b3o3b3o44b2o26bobo18bo4bo4bo
16bob2o2b2obo17bo2bo4bo2bo14b2obob2obob2o14bob2o10b2obo10bob2o10b2obo
49b2o103bobo$5bo15bo14bo2bobo2bo45b3o7b3o11b3o7b3o11b3o7b3o12b3o7b3o
12b3o7b3o11b3o7b3o11b3o7b3o10bo2bo7bo2bo5b2obob3o2b3obob2o98bobo9bobo
11bo4bobo4bo40bo28bo3bo17bob7obo70b3ob2ob3o19bo2bo2bo2bo18bo2bo2bo2bo
50b2o107b3o$6bo2bo7bo2bo14bobobobobobo43bob2ob2ob2ob2obo9bob2ob2ob2ob
2obo9bob2ob2ob2ob2obo10bob2ob2ob2ob2obo10bob2ob2ob2ob2obo9bob2ob2ob2ob
2obo9bob2ob2ob2ob2obo11bobo5bobo9b3o3b2o3b3o101bo11bo12bo2bobobobo2bo
18b3o19bobo23b2o7b2o15b2o5b2o15b2o10b2o18b6o19b2o4b2o18bo3b2o2b2o3bo
14bo3b2o2b2o3bo45b4o109b3o$8bobo5bobo14bo5bobo5bo41b3o2b2ob2o2b3o9b3o
2b2ob2o2b3o9b3o2b2ob2o2b3o10b3o2b2ob2o2b3o10b3o2b2ob2o2b3o9b3o2b2ob2o
2b3o9b3o2b2ob2o2b3o12bo7bo10bo12bo102bo9bo12bob2obo3bob2obo16bo3bo44b
2o7b2o16bobobobo16bo12bo19b4o20b2ob2ob2o17bo4b2o2b2o4bo12bo4b2o2b2o4bo
43bo113bo2bo$9bo7bo15bo5bobo5bo41bobo3bobo3bobo9bobo3bobo3bobo9bobo3bo
bo3bobo10bobo3bobo3bobo10bobo3bobo3bobo9bobo3bobo3bobo9bobo3bobo3bobo
33b2o2b2o2b2o102bo2b2o5b2o2bo35b4o2b2ob2o2b4o13bo23b2o2b2ob2o2b2o13bob
3ob3obo12bobo12bobo16b2o2b2o19b2o4b2o18bo2bobo2bobo2bo14bo2bobo2bobo2b
o44b2o112bobo$34b5o3b5o45b3o3b3o15b3o3b3o15b3o3b3o16b3o3b3o16b3o3b3o
15b3o3b3o15b3o3b3o11b3o11b3o8b10o102b3obo5bob3o38b3obobob3o14b2obo24b
2o5b2o14bobobo3bobobo10bo2bo12bo2bo11bob2o6b2obo39bo4bob4obo4bo10bo4bo
b4obo4bo39b2ob3o111bo$5b3o11b3o69bob2o3b2obo13bob2o3b2obo13bob2o3b2obo
14bob2o3b2obo14bob2o3b2obo13bob2o3b2obo13bob2o3b2obo12b3o7b3o10bob2o2b
2obo102b4o7b4o14b2o3b2o17bo2bo3bo2bo39bo2b2obobob2o2bo11bo11bo11b3o12b
3o11b2o2bo2b2o2bo2b2o12b2o2bo2bo2b2o15bo5bo2bo5bo12bo5bo2bo5bo38b2ob3o
113b2o359bobobo$7b3o7b3o72b2o5b2o15b2o5b2o15b2o5b2o16b2o5b2o16b2o5b2o
15b2o5b2o15b2o5b2o13bo2bo5bo2bo12bo4bo106bo9bo12b3ob2o3b2ob3o10b2obo9b
ob2o10bo26b2o2bo3bo2b2o14bo7bo15b3o8b3o13b4o8b4o12b3obo2bob3o17bo10bo
16bo10bo45bo114bo290b2o5b2o59b7o41bo$7bo2bo5bo2bo70b3o7b3o11b3o7b3o11b
3o7b3o12b3o7b3o12b3o7b3o11b3o7b3o11b3o7b3o37bo2bo129bo2bob2o3b2obo2bo
14bo5bo15bobo49b2o9b2o14b2o8b2o17bo8bo14bo2bobo2bobo2bo15b2o10b2o14b2o
10b2o38bo3b3o111bobo255bo2bo19bo4b4obobobo5bobobob4o50bo7bo38b2ob2o$
90b2o9b2o11b2o9b2o11b2o9b2o12b2o9b2o12b2o9b2o11b2o9b2o11b2o9b2o11bo11b
o11bobo2bobo158bo5bo16bo50bo11bo12bo2bo8bo2bo14b4o4b4o17b6o20bo2bo4bo
2bo16bo2bo4bo2bo42b3ob3o108bo256b2o2b2o8b3o6bobo2b3obobob2obo3bob2obob
ob3o45b3ob3o3b3ob3o33b3o$7bo11bo240bobo7bobo10b2ob4ob2o255bo2bo10bo2bo
9b3o4bo4bo4b3o10bo10bo96b2ob3o111b2o253b2ob2o2b2ob2o5b3o11bo3bobo13bob
o3bo44bo17bo29b2o3bo$7bobo7bobo74b2ob2o19b2ob2o19b2ob2o20b2ob2o20b2ob
2o19b2ob2o19b2ob2o16b3o5b3o11b2ob4ob2o255bo16bo9b3o5b4o5b3o12bo6bo19b
3o6b3o16b3o6b3o43bo3b2o107b2o50bo7bo57bo7bo127bo3b2o2b2o3bo12bo2bo3bob
3o5b2ob2o5b3obo46bo7bo7bo30bo3bo$8b3o5b3o73bobo3bobo15bobo3bobo15bobo
3bobo16bobo3bobo16bobo3bobo15bobo3bobo15bobo3bobo15b2o5b2o13bo6bo257b
2o12b2o11b8o2b8o12b2o6b2o19b2o6b2o16bo2bo6bo2bo38bo5bo47bo7bo100b2obob
ob2o3b2obobob2o9bobo21bobo9b2obobob2o3b2obobob2o105bo10bo4bobo8bobo2b
8ob2o6b2o21b2o46bob2o9b2obo$9b2o5b2o72b4o5b4o11b4o5b4o11b4o5b4o12b4o5b
4o12b4o5b4o11b4o5b4o11b4o5b4o13bobo3bobo12b3o4b3o256b3o10b3o13bo2bo6bo
2bo15bo6bo46b2o10b2o40bobo43b2obobob2o3b2obobob2o91b3obob3o9b3obob3o5b
2obobo17bobob2o5b3obob3o9b3obob3o101bobob2o6b2o22b2o2b3o7b5o15b5o89bo
3b3o$9bobo3bobo71bo3b2o3b2o3bo9bo3b2o3b2o3bo9bo3b2o3b2o3bo10bo3b2o3b2o
3bo10bo3b2o3b2o3bo9bo3b2o3b2o3bo9bo3b2o3b2o3bo13bo5bo11bobo8bobo253bo
16bo14bo8bo13b2o12b2o14b3o8b3o14bo2bobo2bobo2bo39bobo41b3obob3o9b3obob
3o88bo3bobo5bobo5bobo3bo3b2o4b2o17b2o4b2o3bo3bobo5bobo5bobo3bo101bobo
3bo2b2o7bo10bo11b2o10b2o15b2o50b3o9b3o26bobo$10bo5bo72bo3b2o3b2o3bo9bo
3b2o3b2o3bo9bo3b2o3b2o3bo10bo3b2o3b2o3bo10bo3b2o3b2o3bo9bo3b2o3b2o3bo
9bo3b2o3b2o3bo30bo14bo255bo10bo40b3o10b3o14bobo8bobo15b5o2b5o36b2o46bo
3bobo5bobo5bobo3bo92b2o6bobo6b2o6bo2b5o19b5o2bo6b2o6bobo6b2o106b2obob
5o2bo2b2o12b2o90b3o9b3o25bo2bo$280b2ob2o6b2ob2o307b2o12b2o13b2obo8bob
2o14bobo2b2o2bobo37b2o49b2o6bobo6b2o6b2obo83b2o9bobo9b2o7b2o23b2o7b2o
9bobo9b2o102bo5bo2bo115bo7bo30b2o$90bo2bo5bo2bo11bo2bo5bo2bo11bo2bo5bo
2bo12bo2bo5bo2bo12bo2bo5bo2bo11bo2bo5bo2bo11bo2bo5bo2bo34b2o6b2o256bo
14bo67bobo10bobo59b2o2bo47b2o9bobo9b2o3b2o3b2o80b2ob2o15b2ob2o2bo2bo6b
4o9b4o6bo2bo2b2ob2o15b2ob2o102bo2bo117bo4bo5bo4bo23bo2bo4bo$93bo5bo17b
o5bo17bo5bo18bo5bo18bo5bo17bo5bo17bo5bo36b2ob6ob2o254b2ob2o8b2ob2o36b
2o3bo6bo3b2o43bobo4bobo32b2obobo48b2ob2o15b2ob2o6bobobob2o80bo15bo6b2o
9bob4o3b4obo9b2o6bo15bo227bobo11bobo24b3o2bobo$92b2o5b2o15b2o5b2o15b2o
5b2o16b2o5b2o16b2o5b2o15b2o5b2o15b2o5b2o33b2obo8bob2o252b2ob2o8b2ob2o
35bo4b2o6b2o4bo13b2o8b2o17b2o6b2o32b2o2bo53bo15bo14bob2o11bob3o3bo7bo
85bo6bobo6bo141bo124bo3bo35b3o$11b2o21b2o21b2o32b2o7b2o13b2o7b2o13b2o
7b2o14b2o7b2o14b2o7b2o13b2o7b2o13b2o7b2o36bo6bo340bobo10bobo14bo10bo
32b2o84bo12b2obobo5bob2o3b2obobob2o79bo4bobobobo4bo140b3o123bo3bo30bob
4o$11b2o21b2o21b2o31b2ob2o3b2ob2o11b2ob2o3b2ob2o11b2ob2o3b2ob2o12b2ob
2o3b2ob2o12b2ob2o3b2ob2o11b2ob2o3b2ob2o11b2ob2o3b2ob2o302bo10bo43bo8bo
16b3o10b3o14bo2bo4bo2bo124b2o4bobob2obo2b3o9b3obob3o77bo5bobo5bo141bo
123bo2bobo2bo27bo$9bob2obo17bob2obo17bob2obo32bobobobo17bobobobo17bobo
bobo18bobobobo18bobobobo17bobobobo17bobobobo101bobobo22bobobo21bobobo
20bobobo21bobobo21bobobo21bobobo42bobo8bobo38b3obo8bob3o12b4o8b4o53b2o
4b4o83bobo7bo3bo2b2obo5bobo5bobo3bo78b2o9b2o140bobo123bo7bo28bo$7b3o4b
3o13b3o4b3o13b3o4b3o25b2obo3bobo3bob2o7b2obo3bobo3bob2o7b2obo3bobo3bob
2o8b2obo3bobo3bob2o8b2obo3bobo3bob2o7b2obo3bobo3bob2o7b2obo3bobo3bob2o
33b8o54b7o20b7o19b7o18b7o19b7o19b7o19b7o92bo18bo11b2o2bo6bo2b2o15b3o4b
3o29b2o3bobo85bob2o2bo3b3o12bobo6b2o84b2o5b2o141bo2bo122bo9bo24bo2bobo
$4b2o12b2o7b2o12b2o7b2o12b2o24b2obobobobob2o11b2obobobobob2o11b2obobob
obob2o12b2obobobobob2o12b2obobobobob2o11b2obobobobob2o11b2obobobobob2o
35b2o4b2o53bo7bo18bo7bo17bo7bo16bo7bo17bo7bo17bo7bo17bo7bo40bo2bo6bo2b
o38bo4b2o4b2o4bo11bobobobo4bobobobo49b2o2bo95bo3bo2bobo12bobo9b2o80bo
9bo140bo125bobo5bobo24b2o$4b2o2bob4obo2b2o7b2o2bob4obo2b2o7b2o2bob4obo
2b2o27bo5bo17bo5bo17bo5bo18bo5bo18bo5bo17bo5bo17bo5bo95b3ob3o3b3ob3o
10b3ob3o3b3ob3o9b3ob3o3b3ob3o8b3ob3o3b3ob3o9b3ob3o3b3ob3o9b3ob3o3b3ob
3o9b3ob3o3b3ob3o39b2o4b2o46b3o2b3o16bo3bo2bo2bo2bo3bo47b2obobo97bo2bo
26b2ob2o230bo2bob2o120b2obo3bob2o20b2o4bo$8bobo2bobo15bobo2bobo15bobo
2bobo26bo2bo9bo2bo7bo2bo9bo2bo7bo2bo9bo2bo8bo2bo9bo2bo8bo2bo9bo2bo7bo
2bo9bo2bo7bo2bo9bo2bo89bo17bo8bo17bo7bo17bo6bo17bo7bo17bo7bo17bo7bo17b
o39b2o2b2o73bo12bo17b3o2b3o24b2o2bo99bobo26bo84bobo5bobo142bo124bob2ob
2obo20b3obobo$87bob4ob2ob2ob4obo5bob4ob2ob2ob4obo5bob4ob2ob2ob4obo6bob
4ob2ob2ob4obo6bob4ob2ob2ob4obo5bob4ob2ob2ob4obo5bob4ob2ob2ob4obo89bo7b
o7bo10bo7bo7bo9bo7bo7bo8bo7bo7bo9bo7bo7bo9bo7bo7bo9bo7bo7bo35b2o3b2o2b
2o3b2o39b3o8b3o13b2o2bo2bo2bo2bo2b2o13bo2b2o2b2o2bo23b2o214b3o7b3o139b
3ob2o123bobobo22bo$7b2o6b2o13b2o6b2o13b2o6b2o25b3o11b3o7b3o11b3o7b3o
11b3o8b3o11b3o8b3o11b3o7b3o11b3o7b3o11b3o90bob2o9b2obo10bob2o9b2obo9bo
b2o9b2obo8bob2o9b2obo9bob2o9b2obo9bob2o9b2obo9bob2o9b2obo34bo5b2o2b2o
5bo38bobo8bobo14bob2obo4bob2obo13bo3bo4bo3bo390b2ob3o124bobo25b2o$4b6o
4b6o7b6o4b6o7b6o4b6o25bo9bo13bo9bo13bo9bo14bo9bo14bo9bo13bo9bo13bo9bo
300bo2b3obo2bob3o2bo39b3o6b3o17b3o6b3o16bob2o4b2obo18b2o4b4o210bo13bo
266bobobobo23b2o$4bobo10bobo7bobo10bobo7bobo10bobo220bo55b3o9b3o12b3o
9b3o11b3o9b3o10b3o9b3o11b3o9b3o11b3o9b3o11b3o9b3o38bob2o4b2obo43b3o4b
3o17b2o10b2o17b2o4b2o21b2o3bobo212bo11bo141b5o120b2obobob2o$4bob2o8b2o
bo7bob2o8b2obo7bob2o8b2obo23b2o11b2o9b2o11b2o9b2o11b2o10b2o11b2o10b2o
11b2o9b2o11b2o9b2o11b2o36bo58bo7bo15b3o9b3o11b3o9b3o10b3o9b3o11b3o9b3o
11b3o9b3o11b3o9b3o35bo2bob2o4b2obo2bo40bo2bo2bo2bo16b2o12b2o15bo8bo16b
2o2bo219bo11bo141b5o123bobo22b3o$4bob2o8b2obo7bob2o8b2obo7bob2o8b2obo
22bo15bo7bo15bo7bo15bo8bo15bo8bo15bo7bo15bo7bo15bo13bob2o18bo57b3ob3ob
3o17bo7bo17bo7bo16bo7bo17bo7bo17bo7bo17bo7bo39b2o12b2o41bobo4bobo47bo
8bo14b2obobo373bobo125b2ob2o23bo$3b2ob2o8b2ob2o5b2ob2o8b2ob2o5b2ob2o8b
2ob2o22bo2bo7bo2bo9bo2bo7bo2bo9bo2bo7bo2bo13b3o3b3o16b3o3b3o15b3o3b3o
15b3o3b3o16b2ob2o14bo3bo3bo54bo2b3o2bo14bo4bo5bo4bo9bo4bo5bo4bo8bo4bo
5bo4bo9bo4bo5bo4bo9bo4bo5bo4bo9bo4bo5bo4bo39b2o4b2o45bo8bo19b3ob2ob3o
42b2o2bo374b3o122b3obobob3o17bo3bo$3b2obo10bob2o5b2obo10bob2o5b2obo10b
ob2o26bo5bo17bo5bo17bo5bo12b2o5bo3bo5b2o6b2o5bo3bo5b2o5b2o5bo3bo5b2o5b
2o5bo3bo5b2o10bo5bo10bobob2obob2obobo74bobo11bobo9bobo11bobo8bobo11bob
o9bobo11bobo9bobo11bobo9bobo11bobo39b2o4b2o45b2o6b2o18b2obo4bob2o16b2o
8b2o14b2o374b2obo123bobobobobobo17bo4bo$4bobo10bobo7bobo10bobo7bobo10b
obo24bobo7bobo11bobo7bobo11bobo7bobo10b5o7b5o8b5o7b5o7b5o7b5o7b5o7b5o
11bobobobo9b2obobob3obobob2o53b3o22bo5bo20bo3bo20bo3bo21bo3bo21bo3bo
21bo3bo42b3obo4bob3o43bo6bo18bobo8bobo15bo10bo14b3o372bob3o123bo3bobo
3bo17bo$6bo2b2o2b2o2bo11bo2b2o2b2o2bo11bo2b2o2b2o2bo100bo9bo14bo9bo13b
o9bo13bo9bo29bo3bo9bo3bo50b2obob2o20bo5bo20bo3bo20bo3bo21bo3bo21bo3bo
21bo3bo41bo14bo39bobo8bobo15bo3bo4bo3bo15bo10bo13b2o345bo7bo19bo3bo
128bobo21b5o$5bo4bo2bo4bo9bo4bo2bo4bo9bo4bo2bo4bo26bo9bo13bo9bo13bo9bo
113b2ob2o9bobobob2o3b2obobobo47bo2bo5bo2bo16b2ob3ob2o17bo2bobo2bo16bo
2bobo2bo17bo2bobo2bo17bo2bobo2bo17bo2bobo2bo39bo14bo39bo12bo15bobobob
2obobobo13b3o10b3o352b2obobob2o3b2obobob2o13bobo126bo2b5o2bo$11b2o21b
2o21b2o30bo2bo7bo2bo9bo2bo7bo2bo9bo2bo7bo2bo11bo2bo5bo2bo12bo2bo5bo2bo
11bo2bo5bo2bo11bo2bo5bo2bo32b2obo3bob2o48b2ob2ob2obob2ob2ob2o9b3o11b3o
13bo7bo15b2o7b2o16bo7bo17bo7bo17bo7bo40bo2bo6bo2bo39b2o12b2o14bobo8bob
o16b2o6b2o14bo2bo334b3obob3o9b3obob3o8bo129b4o5b4o$10bo2bo19bo2bo19bo
2bo29bo2bo7bo2bo9bo2bo7bo2bo9bo2bo7bo2bo12b3o5b3o14b3o5b3o13b3o5b3o13b
3o5b3o16b4o10b2obo9bob2o45b2o2bo2bo3bo2bo2b2o9bo4bo5bo4bo12bo9bo14b2o
7b2o15bo9bo15bo9bo15bo9bo41b2o6b2o41b2o12b2o15b3o6b3o14b2ob2o6b2ob2o
10b2o2b2o72bo3b3o5b3o3bo16bo3b3o5b3o3bo207bo3bobo5bobo5bobo3bo6b2o128b
2o13b2o$91bo9bo13bo9bo13bo9bo16bo5bo18bo5bo17bo5bo17bo5bo15bo2bo3bo12b
2o2bobo2b2o56bobo46bobo5bobo18b3o19bobo5bobo15bobo5bobo15bobo5bobo124b
o8bo20bo4bo15b2o2b2o69b2ob5ob2o3b2ob5ob2o10b2ob5ob2o3b2ob5ob2o208b2o6b
obo6b2o8bo131b2obo9bob2o16b2o$6b4o4b4o11b4o4b4o11b4o4b4o102bo5bo18bo5b
o17bo5bo17bo5bo14bobo3b3o12bobobobobobo57bo18bo15bo12b2obo3bob2o13bo
11bo14b2obo3bob2o15b2obo3bob2o15b2obo3bob2o43b2o2b2o104b3o2b3o14bo2bo
69bob2obo5bobobobo5bob2obo6bob2obo5bobobobo5bob2obo203b2o9bobo9b2o3b2o
4bo128bobo4bo4bobo16bobo$3b3o2b2ob2ob2o2b3o5b3o2b2ob2ob2o2b3o5b3o2b2ob
2ob2o2b3o22b2o11b2o9b2o11b2o9b2o11b2o9b4o2bo3bo2b4o8b4o2bo3bo2b4o7b4o
2bo3bo2b4o7b4o2bo3bo2b4o13b3o16bobobobo59bo18b4o9b4o13bob2ob2obo14b2o
3bobo3b2o15bob2ob2obo17bob2ob2obo17bob2ob2obo43bo6bo73bo10bo18bo6bo86b
o3bobo3b5ob5o3bobo3bo4bo3bobo3b5ob5o3bobo3bo202b2ob2o15b2ob2o6bobo131b
2o7b2o$5bo5b2o5bo9bo5b2o5bo9bo5b2o5bo25bo11bo11bo11bo11bo11bo16bo3bo
20bo3bo19bo3bo19bo3bo15b2ob2o18bobobobo54bob2obob2obo15b3o7b3o17bobobo
22bo23bobobo21bobobo21bobobo45bo6bo72bobo8bobo15b2o2bo2bo2b2o88b3o5b2o
3b2o5b3o5b2o5b3o5b2o3b2o5b3o210bo15bo174bo$3b2obob3o2b3obob2o5b2obob3o
2b3obob2o5b2obob3o2b3obob2o22bobo9bobo9bobo9bobo9bobo9bobo14b2o3b2o18b
2o3b2o17b2o3b2o17b2o3b2o37bobobobo55b2o2bo2b2o17bo2bo3bo2bo19bobo20b2o
3b2o21bobo23bobo23bobo47b2o2b2o73bobo8bobo18b2o2b2o88bo2bob3o13b3obo2b
o2b2o2bo2bob3o13b3obo2bo398b3o$5b3o3b2o3b3o9b3o3b2o3b3o9b3o3b2o3b3o23b
obo11bobo7bobo11bobo7bobo11bobo7bo3bo9bo3bo6bo3bo9bo3bo5bo3bo9bo3bo5bo
3bo9bo3bo10b3o15b2obobobobob2o52b2o5b2o16bo3bo3bo3bo16bobobobo44bobobo
bo19bobobobo19bobobobo43b3o4b3o72bo10bo20bo2bo91bo23bo10bo23bo78bo7bo$
5bo12bo9bo12bo9bo12bo23b4o9b4o7b4o9b4o7b4o9b4o7bo17bo6bo17bo5bo17bo5bo
17bo10b2o15bobobobobobobobo48bobo9bobo11bobo11bobo13b2obobob2o15b5ob5o
16b2obobob2o17b2obobob2o17b2obobob2o42b2o6b2o69b2o3b2o4b2o3b2o13b12o
31bo7bo179b2obobob2o3b2obobob2o$7b2o2b2o2b2o13b2o2b2o2b2o13b2o2b2o2b2o
24b2ob3o7b3ob2o5b2ob3o7b3ob2o5b2ob3o7b3ob2o6bo2b2ob2o3b2ob2o2bo6bo2b2o
b2o3b2ob2o2bo5bo2b2ob2o3b2ob2o2bo5bo2b2ob2o3b2ob2o2bo8bo2bobo14bo2bobo
bobo2bo49bo4b2ob2o4bo11bo5bo3bo5bo15b2ob2o15b4o7b4o17bobo22b2ob2o21b2o
b2o43bob2o4b2obo68bobobobo4bobobobo18b2o30b2obobob2o3b2obobob2o170b3ob
ob3o9b3obob3o8b2o7b2ob2o$7b10o13b10o13b10o27bo2bo5bo2bo11bo2bo5bo2bo
11bo2bo5bo2bo11bo2bo2bobo2bo2bo10bo2bo2bobo2bo2bo9bo2bo2bobo2bo2bo9bo
2bo2bobo2bo2bo10bo5bo15bo2bobo2bo51bo4b2ob2o4bo12b3o2bo3bo2b3o17bobo
16bo3b3ob3o3bo16b2ob2o22bobo23bobo47bo4bo73bobo8bobo14bo3bo4bo3bo21b3o
bob3o9b3obob3o167bo3bobo5bobo5bobo3bo7b3o3bo4bo3bo158bo7bo$7bob2o2b2ob
o13bob2o2b2obo13bob2o2b2obo28b2o7b2o13b2o7b2o13b2o7b2o12b2obo2bobo2bob
2o10b2obo2bobo2bob2o9b2obo2bobo2bob2o9b2obo2bobo2bob2o17bo78bobobobo
21bo3bo19bo2bobo2bo18b2ob2o22bobo20bo2bobo2bo20bobo42b3o10b3o66bobobob
o4bobobobo12b2o2b2o2b2o2b2o21bo3bobo5bobo5bobo3bo171b2o6bobo6b2o8bo6b
2ob2o2bobobo152b2obobob2o3b2obobob2o$9bo4bo17bo4bo17bo4bo30b3o5b3o13b
3o5b3o13b3o5b3o15b2obobob2o16b2obobob2o15b2obobob2o15b2obobob2o14b4o2b
o103bob7obo15bobobobobobo11b3o4bobo4b3o15bo3bo18bobobobobobo16b2o5b2o
39b2ob3o4b3ob2o66bobobobo4bobobobo12b3o3b2o3b3o25b2o6bobo6b2o172b2o9bo
bo9b2o3b2o3bo3bo2bob2obo152b3obob3o9b3obob3o$10bo2bo19bo2bo19bo2bo32bo
bo3bobo15bobo3bobo15bobo3bobo13b2obo2bobo2bob2o10b2obo2bobo2bob2o9b2ob
o2bobo2bob2o9b2obo2bobo2bob2o16b3o13b3o3b3o54b2o5b2o19b7o18bo2bobo2bo
12b2o5bobo5b2o14b3ob3o18bob2ob2obo17bo2bobo2bo40b4o6b4o68bo3bo6bo3bo
15bo3b2o3bo24b2o9bobo9b2o169b2ob2o15b2ob2o6bo8bo2bobo4bo147bo3bobo5bob
o5bobo3bo$8bobo2bobo15bobo2bobo15bobo2bobo29b2ob2ob2ob2o13b2ob2ob2ob2o
13b2ob2ob2ob2o16bobobobo18bobobobo17bobobobo17bobobobo15b3o4bo10bo3b2o
3b2o3bo51b2o5b2o19bo5bo21bobo20bobobobo20bobobo17bo3b2ob2o3bo16b2o3b2o
42b3o6b3o100b3o4b3o19b2o3b2ob2o15b2ob2o173bo15bo16bob2o9b2o150b2o6bobo
6b2o$7b2ob4ob2o13b2ob4ob2o13b2ob4ob2o29bobo3bobo15bobo3bobo15bobo3bobo
17b2o3b2o18b2o3b2o17b2o3b2o17b2o3b2o15b3o4b2o8b3o4bobo4b3o77b9o16bobob
obobobo17b2ob2o19bob2ob2obo14bob5ob5obo16bo3bo159b2o24b2o6bo15bo207b2o
4bo3b2o2bo2b3o145b2o9bobo9b2o$7b2ob4ob2o13b2ob4ob2o13b2ob4ob2o98b6o5b
6o8b6o5b6o7b6o5b6o7b6o5b6o9bob2ob3o14bo2bobo2bo56b2ob2o20bo7bo16bobobo
bobobo40bo9bo14bo11bo203b2o2bo232bo3bo12b2ob2o142b2ob2o15b2ob2o$8bo6bo
15bo6bo15bo6bo26b2o13b2o7b2o13b2o7b2o13b2o8b4o9b4o8b4o9b4o7b4o9b4o7b4o
9b4o10bo3bobo13bobobobobobo54bo5bo20b2obob2o16bo2bobobobo2bo39bo9bo18b
2ob2o21b5o153bo12bo12b2obobo237bo15bo139b2o6bo15bo$7b3o4b3o13b3o4b3o
13b3o4b3o25b3o11b3o7b3o11b3o7b3o11b3o10bo2bobobobo2bo12bo2bobobobo2bo
11bo2bobobobo2bo11bo2bobobobo2bo19bo10bo5bobo5bo53b2ob2o21bo5bo16bobo
2bobo2bobo17b3o18b2o9b2o16bobobobo19bob3obo152bo3b6o3bo12b2o2bo72bo3b
3o5b3o3bo14b2o5b2o5b2o5b2o123bobo139b2o$5bobo8bobo9bobo8bobo9bobo8bobo
23bo2b2o7b2o2bo7bo2b2o7b2o2bo7bo2b2o7b2o2bo8bo15bo8bo15bo7bo15bo7bo15b
o13bo14bo5bobo5bo78bob2ob2obo17bo2bobo2bo18bobobo20bob3obo18b2obobob2o
17b9o150bo2b2o6b2o2bo12b2o71b2ob5ob2o3b2ob5ob2o9bo3bo3bo2bo3bo2bo3bo3b
o124bo121bo10bo3bo$4bo14bo7bo14bo7bo14bo24bo3bo3bo3bo11bo3bo3bo3bo11bo
3bo3bo3bo10bo4bo5bo4bo8bo4bo5bo4bo7bo4bo5bo4bo7bo4bo5bo4bo11bobobobo
11b5o3b5o55b3o23bo3bo20bo5bo18bo5bo15bo13bo14b2obobob2o19bo3bo155b2o6b
2o15b3o68bob2obo5bobobobo5bob2obo7bo3bobob3o5b3obobo3bo121bo2bo120bobo
b2o6b2o4bo$4b2ob2o6b2ob2o7b2ob2o6b2ob2o7b2ob2o6b2ob2o27b3ob3o17b3ob3o
17b3ob3o13bo4bobobobo4bo8bo4bobobobo4bo7bo4bobobobo4bo7bo4bobobobo4bo
11bo2b3o79bobobo17bobo2b2ob2o2bobo14b3o3b3o17bo5bo15bobo4bo4bobo16bo3b
o20bo5bo153bo10bo13b2o69bo3bobo3b5ob5o3bobo3bo6bo5b2o2b3ob3o2b2o5bo
125bo119bobo3bo2b2o7bo$7b2o6b2o13b2o6b2o13b2o6b2o25bo2bobobobobobo2bo
7bo2bobobobobobo2bo7bo2bobobobobobo2bo112bob2o77b2o3b2o15bo2bo3bobo3bo
2bo13b2o5b2o18b2ob2o18b2o3bo3b2o43bo2bo2bo253b3o5b2o3b2o5b3o5b2o3b2ob
3o15b3ob2o122bo123b2obob5o2bo2bo$6b2ob6ob2o11b2ob6ob2o11b2ob6ob2o24b3o
11b3o7b3o11b3o7b3o11b3o7bobo13bobo6bobo13bobo5bobo13bobo5bobo13bobo10b
ob2o17b3ob3o56bobobobo16bobobobobobobobo14bo7bo16b3o3b3o13b3o11b3o12b
2obo3bob2o15b3obobob3o176bo2bo68bo2bob3o13b3obo2bo2b2o3bo25bo122b4o
119bo5bo2bo$4b2obo8bob2o7b2obo8bob2o7b2obo8bob2o22bo15bo7bo15bo7bo15bo
8bo15bo8bo15bo7bo15bo7bo15bo11bobo3b3o14bobo82b2ob2o3b2ob2o15bobo3bobo
16b2o5b2o12bob2obo7bob2obo10b2o4bo4b2o14b2o7b2o175b2o2b2o69bo23bo10bo
3bo15bo3bo123bob2obo117bo2bo$8bo6bo15bo6bo15bo6bo27b3o9b3o9b3o9b3o9b3o
9b3o9bo15bo8bo15bo7bo15bo7bo15bo16bob2o101bo7bo41bob2o3b2obo11bo4bo7bo
4bo9bobobo5bobobo17b3o179b2o2b2o105bo2bo15bo2bo124bo$89b3o9b3o9b3o9b3o
9b3o9b3o114bo2bo101bo9bo17b2o3b2o19bo3bo15bo3b2o5b2o3bo9bo2bobo5bobo2b
o10b2o11b2o173bo2bo259bo119bo$90b3o7b3o11b3o7b3o11b3o7b3o6b3o3b3o7b3o
3b3o28bo15bo7bo15bo12b2o5bo14b3o109bo2bo3bo2bo12b3o9b3o16bo3bo14b2o2b
4o3b4o2b2o15b3o438bo2bo119b3o$8b8o15b8o15b8o31b2o3b2o17b2o3b2o17b2o3b
2o11bo3bo11bo3bo5b3obo9bob3o6b2ob2o7b2ob2o7b2ob2o7b2ob2o14bobob2o126bo
3b3o3bo12b2ob3o3b3ob2o14bobo3bobo12b3o5b3o5b3o9bo2b4ob4o2bo65b3o6b3o
15b3o6b3o15b3o6b3o16b3o6b3o274bo121bo$8b2o4b2o15b2o4b2o15b2o4b2o27b2o
11b2o9b2o11b2o9b2o11b2o7bo3bo11bo3bo5b2obobo7bobob2o7bob2o7b2obo9bob2o
7b2obo12bo2b3o17b3o133b4o5b4o17b2ob2o15b2o6bo6b2o11b2o3bobo3b2o37b3o6b
3o14b4obo6bob4o9b4obo6bob4o9b4obo6bob4o10b4obo6bob4o391bobo$31b3o2b3o
15b3o2b3o27bo3bobobobo3bo9bo3bobobobo3bo9bo3bobobobo3bo7b2ob2o11b2ob2o
8bobo7bobo10bo2bo7bo2bo9bo2bo7bo2bo13bobo132b2o5b2o15b3o5b3o19bobo16b
2o13b2o13bobobobobo36b4obo6bob4o10bo18bo7bo18bo7bo18bo8bo18bo389bo2bo$
32bo4bo17bo4bo27bo2b2o7b2o2bo7bo2b2o7b2o2bo7bo2b2o7b2o2bo6b2ob2o11b2ob
2o7b2obobo3bobob2o9bobo9bobo9bobo9bobo15bo17b2o3b2o110bobobo47bobo17b
2o11b2o15bo5bo36bo18bo9bo2bob2o6b2obo2bo7bo2bob2o6b2obo2bo7bo2bob2o6b
2obo2bo8bo2bob2o6b2obo2bo389bo$31b3o2b3o15b3o2b3o29b2o2bobo2b2o13b2o2b
obo2b2o13b2o2bobo2b2o37b2o2b3ob3o2b2o9bo2bob2ob2obo2bo9bo2bob2ob2obo2b
o15bobo183bo3bo47b2ob2o37bo2bob2o6b2obo2bo16bob2obo21bob2obo21bob2obo
22bob2obo230bo7bo156bo2bob2o$31bo2b2o2bo15bo2b2o2bo30bob2ob2obo15bob2o
b2obo15bob2ob2obo44bobo14b2ob3obobob3ob2o7b2ob3obobob3ob2o14b2obo13bo
3bo3bo261bob2obo16b3o5bo2bo5b3o7b3o5bo2bo5b3o7b3o5bo2bo5b3o8b3o5bo2bo
5b3o217b2obobob2o3b2obobob2o153bo$31bo2b2o2bo15bo2b2o2bo125b2ob3o3b3ob
2o8bob5o3b5obo7bob5o3b5obo15bobo13bo7bo211b2o3b2o36b3o5bo2bo5b3o11bo2b
o3b2o3bo2bo11bo2bo3b2o3bo2bo11bo2bo3b2o3bo2bo12bo2bo3b2o3bo2bo216b3obo
b3o9b3obob3o148b3ob2o$31bo6bo15bo6bo31b2o3b2o17b2o3b2o17b2o3b2o39b5o5b
5o12bo7bo15bo7bo17bo3bo13bo2bobo2bo256bo2bo3b2o3bo2bo12bo6bo2bo6bo9bo
6bo2bo6bo9bo6bo2bo6bo10bo6bo2bo6bo89bo3b3o5b3o3bo107bo3bobo5bobo5bobo
3bo148b2ob3o138bo5bo$92bo2bobo2bo15bo2bobo2bo15bo2bobo2bo38b2o2b2o3b2o
2b2o9bo3b2o3b2o3bo9bo3b2o3b2o3bo13b2o17b2obobob2o255bo6bo2bo6bo12bo3bo
6bo3bo11bo3bo6bo3bo11bo3bo6bo3bo12bo3bo6bo3bo87b2ob5ob2o3b2ob5ob2o108b
2o6bobo6b2o296bo5bo$30b2obo2bob2o13b2obo2bob2o28bobobobobobo13bobobobo
bobo13bobobobobobo42b2ob2o18bobobobo17bobobobo15b2o20bobobobo257bo3bo
6bo3bo16b3o4b3o17b3o4b3o17b3o4b3o18b3o4b3o52b2o34bob2obo5bobobobo5bob
2obo103b2o9bobo9b2o151b5o136bobo3bobo$32b2o2b2o17b2o2b2o27b4obobobobob
4o7b4obobobobob4o7b4obobobobob4o61b2obobob2o15b2obobob2o14b6o17b2ob2o
261b3o4b3o20bo6bo19bo6bo19bo6bo20bo6bo49bo3bob2obo29bo3bobo3b5ob5o3bob
o3bo8b2o5b2o5b2o5b2o71b2ob2o15b2ob2o3b2o146b5o137bo5bo$87bo4bo2bobo2bo
4bo5bo4bo2bobo2bo4bo5bo4bo2bobo2bo4bo38b2ob2o17b2obobob2o15b2obobob2o
16b2o286bo6bo16b3o2bobo2bobo2b3o9b3o2bobo2bobo2b3o9b3o2bobo2bobo2b3o
10b3o2bobo2bobo2b3o43b2o7b2o33b3o5b2o3b2o5b3o5b2o3bo3bo3bo2bo3bo2bo3bo
3bo73bo15bo6b2o146bobo140bo5bo$29b2o8b2o11b2o8b2o24bobo4bobo4bobo7bobo
4bobo4bobo7bobo4bobo4bobo36b5ob5o14b2obobob2o15b2obobob2o17bobo279b3o
2bobo2bobo2b3o14b2o8b2o15b2o8b2o15b2o8b2o16b2o8b2o45bo5b2obo32bo2bob3o
13b3obo2bo2b2o3bo3bobob3o5b3obobo3bo97bo2b2o142b3o118bo7bo33bo7bo$29b
2obo4bob2o11b2obo4bob2o26b3o7b3o11b3o7b3o11b3o7b3o37b2o9b2o16bobo21bob
o18bo3bo18b3o261b2o8b2o18b2o6b2o17b2o6b2o17b2o6b2o18b2o6b2o37bo7b3o3b
2o2b2o33bo23bo9bo5b2o2b3ob3o2b2o5bo98bobob2o138b2obo113b2obobob2o3b2ob
obob2o21b2obobob2o3b2obobob2o$28bob4o2b4obo9bob4o2b4obo27bob2ob2obo15b
ob2ob2obo15bob2ob2obo40bob2o3b2obo17bobo21bobo18bo21bobobo261b2o6b2o
18bobobo2bobobo15bobobo2bobobo15bobobo2bobobo16bobobo2bobobo35bobo6b2o
4b2o71b2ob3o15b3ob2o99bo2b2o111b3ob3o19bob3o110b3obob3o9b3obob3o15b3ob
ob3o9b3obob3o$28b2o10b2o9b2o10b2o23bo4b2o3b2o4bo7bo4b2o3b2o4bo7bo4b2o
3b2o4bo33b2o2bo7bo2b2o14bobo18bo2bobo2bo17b2o17bo5bo259bobobo2bobobo
14b2o14b2o9b2o14b2o9b2o14b2o10b2o14b2o30b2o2bo6bob3o74bo25bo101b2o112b
3obob2o17bo3bo111bo3bobo5bobo5bobo3bo15bo3bobo5bobo5bobo3bo$28bo5b2o5b
o9bo5b2o5bo22b2o4bo5bo4b2o5b2o4bo5bo4b2o5b2o4bo5bo4b2o31bo4bo7bo4bo9b
4o3b4o14b2obobob2o16bob3o15bo5bo256b2o14b2o13bo12bo13bo12bo13bo12bo14b
o12bo33bo4b3obo3b2o75bo3bo15bo3bo101b3o79bo3b3o5b3o3bo13bo4bob2o4bo12b
obo117b2o6bobo6b2o23b2o6bobo6b2o$28bo12bo9bo12bo22b2o15b2o5b2o15b2o5b
2o15b2o37b2o3b2o15b4o3b4o13bob3ob3obo17bo2bo15b2ob2o259bo12bo15b2o10b
2o13b2o10b2o13b2o10b2o14b2o10b2o24b2o2b3o2bo4b2o4b3o77bo2bo15bo2bo104b
2o75b2ob5ob2o3b2ob5ob2o17bo6bo9bo118b2o9bobo9b2o17b2o9bobo9b2o$28bo12b
o9bo3bo4bo3bo23bo2b2o2bobo2b2o2bo7bo2b2o2bobo2b2o2bo7bo2b2o2bobo2b2o2b
o36b4o3b4o13b4o3b4o15b3ob3o20b2o14b3o3b3o257b2o10b2o15b2o10b2o13b2o10b
2o13b2o10b2o14b2o10b2o23b2o2bo4bo6b5o282bob2obo5bobobobo5bob2obo6bobo
6bo2b3ob2o6b2o119b2ob2o15b2ob2o17b2ob2o15b2ob2o$29b4o4b4o11b3o2b2o2b3o
27b4o3b4o13b4o3b4o13b4o3b4o36bobob2o5b2obobo10b2obo3bob2o58b2o5b2o257b
2o10b2o14b2o12b2o11b2o12b2o11b2o12b2o12b2o12b2o28bo11b2o206bo2bo72bo3b
obo3b5ob5o3bobo3bo2bob3o8bobo3bo4b2o126bo15bo25bo15bo$29b2o8b2o13b2o4b
2o30b2o5b2o15bo7bo15bo7bo37bob2o9b2obo10b3o5b3o13b2o7b2o17bo15bob2o3b
2obo61bo24bo22b2obob2o18bo5bo18b3o10b3o15bo12bo16bo12bo21b2o12b2o12b2o
2bo8bo2b2o9b2o2bo8bo2b2o9b2o2bo8bo2b2o10b2o2bo8bo2b2o14bobo6bobobo218b
2o2b2o75b3o5b2o3b2o5b3o5bob3o17bo2bo4bo$32b2o2b2o16b2o4b2o32bo3bo16bo
9bo13bo9bo35bobob3o5b3obobo8bobo7bobo12b3o5b3o16bobo17bo3bo63bobo22bob
o21b2obob2o18b2o3b2o48bobo10bobo14bobo10bobo19b2o2bo8bo2b2o14b2o8b2o
15b2o8b2o15b2o8b2o16b2o8b2o16b2o3bo3b2o222b2o2b2o72bo2bob3o13b3obo2bo
2bobo17bobo2bo3bo$27b2o4b4o4b2o6b3ob2o6b2ob3o23b2obo5bob2o12b2o7b2o13b
2o7b2o36bo4bo5bo4bo9bobo7bobo15bo3bo18bo15b3o9b3o58bobo22bobo20bo7bo
18b2ob2o18bo16bo12bo16bo12bo16bo21b2o8b2o17bo4b2o4bo15bo4b2o4bo15bo4b
2o4bo16bo4b2o4bo18bo2bo3bo3bo221bo2bo74bo23bo26bo$27b2o5b2o5b2o7bob2o
8b2obo23bobo2bo3bo2bobo12b2o5b2o15b2o5b2o43b2ob2o17bo7bo14b2obo3bob2o
15bo15b2ob3o3b3ob2o59bo24bo20b3obobob3o12b4obo3bob4o13b2ob2o8b2ob2o13b
2ob2o6b2ob2o14b2ob2o6b2ob2o22bo4b2o4bo16b2o4b2o4b2o13b2o4b2o4b2o13b2o
4b2o4b2o14b2o4b2o4b2o11b3o6b2o3bo2b2o$30bo8bo15b6o29b2ob2o3b2ob2o14b3o
b3o17b3ob3o45bobo41b2o7b2o15bo16b4o5b4o53b2ob2o2bo2b2ob2o10b2ob2o2bo2b
2ob2o12b5o3b5o11bo13bo14b2o2b2o4b2o2b2o16b2ob2o2b2ob2o18b2ob2o2b2ob2o
23b2o4b2o4b2o15bobo2bo2bo2bobo13bobo2bo2bo2bobo13bobo2bo2bo2bobo14bobo
2bo2bo2bobo10b4ob2o4bobo$26bo3bo8bo3bo11b2o2b2o127bo2b3ob3o2bo11b3o7b
3o10bo2b2o5b2o2bo13bo2b2o13b3o5b3o54b2ob2o5b2ob2o10b2ob2o5b2ob2o11b2o
11b2o15bo3bo16b2obo4b6o4bob2o13bo4b2o4bo18bo4b2o4bo23bobo2bo2bo2bobo
15bob2ob4ob2obo13bob2ob4ob2obo13bob2ob4ob2obo14bob2ob4ob2obo9bo4b2obo
2bo2b2o$29bo10bo10bo12bo25bob3o3b3obo9b2o4b2ob2o4b2o7b2o4b2ob2o4b2o34b
ob2o7b2obo10bob4ob4obo9bo15bo9b2obobo2bo77bo13bo10bo13bo10b3obobo3bobo
b3o9bo4b2ob2o4bo11b7o2b4o2b7o12b2o4b2o4b2o16b2o4b2o4b2o22bob2ob4ob2obo
17bob6obo17bob6obo17bob6obo18bob6obo11bo7bo3bo$26b2o14b2o7b3o3b2o3b3o
25b2o9b2o8bobo4bo3bo4bobo5bobo4bo3bo4bobo56bobo11bobo7bo3b2o5b2o3bo9b
2ob2o2b2o22b3o52bo3bo5bo3bo10bo3bo5bo3bo14bo2bobo2bo40bo2bobo3b2o3bobo
2bo13bo12bo16bo12bo24bob6obo17bob3o4b3obo13bob3o4b3obo13bob3o4b3obo14b
ob3o4b3obo13bo115b2o5b2o$50b2o12b2o24bo11bo8bobo13bobo5bobo13bobo33bo
3bo5bo3bo8bob5o3b5obo36b2o2bo78bo5bobo5bo10bo5bobo5bo10b2obo2b2ob2o2bo
b2o10b6ob6o17bo10bo18b2obo4bob2o18b2obo4bob2o23bob3o4b3obo15b3o8b3o13b
3o8b3o13b3o8b3o14b3o8b3o12bo108b4obobobo5bobobob4o$54b2o4b2o50bo3bobo
3bobo3bo7bo3bobo3bobo3bo39bo3bo14bob3o5b3obo8b2o13b2o11b3o24b2o3b2o51b
2o2bo3bo2b2o12b2o2bo3bo2b2o12b2o4bobo4b2o14b3ob3o20b2o8b2o20b3o2b3o22b
3o2b3o25b3o8b3o13b2o14b2o9b2o14b2o9b2o14b2o10b2o14b2o118b3obobob2obo3b
ob2obobob3o297bo7bo$54bo6bo26b3o11b3o12bo5bo17bo5bo42bo2bobo2bo13b2o9b
2o9bo15bo11b2o2b2o82b2o3b2o18b2o3b2o18bo2bobo2bo46bo6bo19bo12bo16bo12b
o20b2o14b2o11b2o14b2o9b2o14b2o9b2o14b2o10b2o14b2o89bo3b3o5b3o3bo10bo3b
obo13bobo3bo266bo24b2obobob2o3b2obobob2o$113bo2bobo3bobo2bo9bo2bobo3bo
bo2bo39bobobobo12bo2bo9bo2bo35b2ob2o21bo3bo3bo54bo3bo20bo3bo16bo3bobob
obo3bo16bobo23b2o6b2o16b3o12b3o12b3o12b3o18b2o14b2o15bo8bo17bo8bo17bo
8bo18bo8bo90b2ob5ob2o3b2ob5ob2o8bob3o5b2ob2o5b3obo59bo5b2o5b2o5bo169bo
10bo3b6o6b2o3b2o6b3obob3o9b3obob3o$89b6o3b6o8bobo11bobo7bobo11bobo38bo
bobobo15bo9bo12b3obo3bob3o14b3o22bo7bo100bo3bobobobo3bo12b2ob2ob2ob2o
15b3obo8bob3o12b2o14b2o12b2o14b2o22bo8bo18b3o6b3o15b3o6b3o15b3o6b3o16b
3o6b3o87bob2obo5bobobobo5bob2obo6b2o21b2o57bo2b2ob2o2bo3bo2b2ob2o2bo
166bobob2o6b2o7b3o5bobob2o6bo3bobo5bobo5bobo3bo$89b2obo2bobo2bob2o8bob
o11bobo7bobo11bobo38bobobobo12b3o11b3o12bobobobo42bo2bobo2bo51b2o7b2o
14b2o7b2o14b2o3bobo3b2o12bo2bobobobo2bo14bob2o10b2obo12bobo12bobo12bob
o12bobo21b3o6b3o16bo12bo13bo12bo13bo12bo14bo12bo85bo3bobo3b5ob5o3bobo
3bo5b5o15b5o55b3o4bobo3bobo3bobo4b3o26bo3b3o5b3o3bo119bobo3bo2b2o7bob
2obob2o2b2obo3b3o6b2o6bobo6b2o78bo$90bobo2bobo2bobo86bobobobobobo36b3o
2bobo2b3o39b2obobob2o51bobo5bobo14bobo5bobo15bo2bo3bo2bo13bo4bobo4bo
13b2ob2o10b2ob2o12b3o10b3o14b3o10b3o21bo12bo14b2obo8bob2o11b2obo8bob2o
11b2obo8bob2o12b2obo8bob2o88b3o5b2o3b2o5b3o5b2o5b2o15b2o58b2o2bo2b3ob
2o3b2ob3o2bo2b2o23b2ob5ob2o3b2ob5ob2o117b2obob5o2bo2b3o4bobo2bo13b2o9b
obo9b2o75bo$90bobobo3bobobo11bobob2ob2obobo11bobob2ob2obobo37bo2bobobo
bo2bo39b2ob2o44bobobobo51b3o7b3o12b3o7b3o13bo3bo3bo3bo10bo4bobobobo4bo
14b2o10b2o15b3o10b3o14b3o10b3o20b2obo8bob2o14bobob2o2b2obobo13bobob2o
2b2obobo13bobob2o2b2obobo14bobob2o2b2obobo86bo2bob3o13b3obo2bo2b2o82b
3o2b3o4bo3bo4b3o2b3o21bob2obo5bobobobo5bob2obo114bo5bo2bo12b3o2b2o7b2o
4b2ob2o15b2ob2o74bobo4bo$90bo2bo5bo2bo11bobob2ob2obobo11bobob2ob2obobo
36b2ob2obobob2ob2o9b2o11b2o11bobo5bobo15b7o20b2ob2o52bob2o5b2obo12bob
2o5b2obo12bo13bo9bo2b2o3bo3b2o2bo14bo12bo18bo8bo20bo8bo24bobob2o2b2obo
bo17bo2bo2bo2bo17bo2bo2bo2bo17bo2bo2bo2bo18bo2bo2bo2bo90bo23bo89bobo2b
o15bo2bobo10bo8bo5bobo3b5ob5o3bobo3bo113bo2bo15b4o23bo15bo79bo5bo$90bo
2b2o3b2o2bo12bobo5bobo13bobo5bobo40bo2bobo2bo12bobob2o3b2obobo11bo9bo
14b2obobob2o77b2o7b2o14b2o7b2o12bo3b3o3b3o3bo8bo4bo5bo4bo46b3o4b3o20b
3o4b3o26bo2bo2bo2bo18b2ob2o2b2ob2o15b2ob2o2b2ob2o15b2ob2o2b2ob2o16b2ob
2o2b2ob2o31bo172bo23bo3bo7b2o6b2obo3b3o5b2o3b2o5b3o138bo120bo4bobo$34b
2ob2o19b2ob2o31bo3bo18bobobobo17bobobobo41b3obobob3o13bob2o3b2obo13bo
9bo14b2obobob2o75bo4bo3bo4bo10bo4bo3bo4bo11bo3bobobobo3bo13bo7bo17b2o
12b2o13b3obo8bob3o12b3obo8bob3o21b2ob2o2b2ob2o18bob2o2b2obo17bob2o2b2o
bo17bob2o2b2obo18bob2o2b2obo32bo200bo5bo2b3o8bo2bob3o13b3obo2bo116bo
117bo7bo19bo$13bo20b2obobo17bobob2o26bo5bobo5bo11bo9bo13bo9bo43bobo17b
obobobobobo39bobobobo21b3o53b2o2bo3bo2b2o12b2o2bo3bo2b2o14bo2b2ob2o2bo
13b2o9b2o17bob2ob2ob2obo18bobo6bobo18bobo6bobo25bob2o2b2obo18bo2bo4bo
2bo15bo2bo4bo2bo15bo2bo4bo2bo16bo2bo4bo2bo31bo200bo5bob2o2bobobo5bo23b
o117b3o110b2obobob2o3b2obobob2o13bo$10b3obo18bobobobo17bobobobo25b2o2b
obobobo2b2o11bo3bobo3bo13bo3bobo3bo43bobo16bobo2bobo2bobo38bobobobo20b
obobo51bo5bobo5bo10bo5bobo5bo13b2o2b3o2b2o14bo9bo15bobo2b2o4b2o2bobo
17bo6bo22bo6bo26bo2bo4bo2bo16b2o10b2o13b2o10b2o13b2o10b2o14b2o10b2o26b
o3bo3bo198b2obo4bo5bo147bo109b3obob3o9b3obob3o24bo7bo$9bo24bo3bo19bo3b
o29b2obobob2o12bo4b2ob2o4bo9bo4b2ob2o4bo40b2ob2o15bo2bobobobo2bo38bo5b
o19bo5bo53b2obobob2o16b2obobob2o15bob2o5b2obo14bo7bo15bo4b2o6b2o4bo12b
2o12b2o14b2o12b2o21b2o10b2o15bo12bo13bo12bo13bo12bo14bo12bo23bobob2obo
b2obobo195b2o2b2o4b3o147bobo109bo3bobo5bobo5bobo3bo18b2obobob2o3b2obob
ob2o$10b2o2bo20bobo21bobo31bobobobo13bobo9bobo9bobo9bobo37b3obobob3o
17bobo45bobo21bo5bo52bo3bobo3bo14bo3bobo3bo14b3o2b3o2b3o12bo11bo13bo4b
obo4bobo4bo12b2o12b2o14b2o12b2o21bo12bo16b2o8b2o15b2o8b2o15b2o8b2o16b
2o8b2o23b2obobob3obobob2o353bo2bo113b2o6bobo6b2o19b3obob3o9b3obob3o$
11bo2bo79bo3bo14b2ob3o3b3ob2o9b2ob3o3b3ob2o36b2obobobobob2o12b3obobob
3o41bobo22b2ob2o53b2obo3bob2o14b2obo3bob2o14b3o7b3o37bo7bo4bo7bo10b2o
3bo6bo3b2o12b2o3bo6bo3b2o21b2o8b2o16b2o10b2o13b2o10b2o13b2o10b2o14b2o
10b2o21bo3bo9bo3bo352bo113b2o9bobo9b2o16bo3bobo5bobo5bobo3bo$12b3o23bo
b3o19bob3o27b2ob2o18bobobobo17bobobobo40b2o3bobo3b2o10b2o4bobo4b2o37b
3o22b3o3b3o51b3o5b3o14b3o5b3o16b3o3b3o40bo2b2o2bo4bo2b2o2bo11bob2obo6b
ob2obo12bob2obo6bob2obo20b2o10b2o14bo2bo8bo2bo11bo2bo8bo2bo11bo2bo8bo
2bo12bo2bo8bo2bo20bobobob2o3b2obobobo351bo2bob2o108b2ob2o15b2ob2o20b2o
6bobo6b2o$15b2o17b4o2bo17b4o2bo27bobo3bobo15b2obobob2o15b2obobob2o40bo
3bobo3bo11b2o4bobo4b2o39bob2o19b2o5b2o106bobo18b3o5b3o15bo3bo8bo3bo10b
3ob3o8b3ob3o8b3ob3o8b3ob3o17bo2bo8bo2bo12b5o8b5o9b5o8b5o9b5o8b5o10b5o
8b5o23b2obo3bob2o358bo115bo15bo21b2o9bobo9b2o$7b3o4bo18bo3b3o17bo3b3o
29bo5bo19bobo20bo3bo42bo2b2ob2o2bo11b2o4bobo4b2o35bo25bob2o3b2obo50b2o
b2ob2ob2o14b2ob2ob2ob2o14b3o2bobo2b3o14bo7bo22b2o2b2o17bo18bo10bo18bo
17b5o8b5o12bo2bo8bo2bo11bo2bo8bo2bo11bo2bo8bo2bo12bo2bo8bo2bo21b2obo9b
ob2o353b3ob2o150b2ob2o15b2ob2o$9bo24bobobo19bobobo31bo3bo20bobo18b3o3b
3o41b2o5b2o13bo11bo36bo2b5o21bo3bo55b3ob3o18b3ob3o15bo13bo40bo12bo15bo
3b2o4b2o3bo14bo3b2o4b2o3bo20bo2bo8bo2bo15bobo6bobo15bobo6bobo15bobo6bo
bo16bobo6bobo26b2o2bobo2b2o356b2ob3o154bo15bo$9bo2bobo19bo2b2ob2o16bo
2b2ob2o27b3ob3o13b3o3bobo3b3o11bo2bo3bo2bo39bo9bo12b2o9b2o36b2o22b3o9b
3o97bobob2o3b2obobo10b3o9b3o17b2ob4ob2o21b2o4b2o22b2o4b2o26bobo6bobo
14bo2bo2bo4bo2bo2bo9bo2bo2bo4bo2bo2bo9bo2bo2bo4bo2bo2bo10bo2bo2bo4bo2b
o2bo23bobobobobobo$9b2o3bo25b2o22b2o25b3obobob3o13bo2b2ob2o2bo12bo3bo
3bo3bo59bobo2b2o3b2o2bobo58b2ob3o3b3ob2o98b2o9b2o11bo2b2o5b2o2bo16bo
10bo16b2ob2o6b2ob2o14b2ob2o6b2ob2o19bo2bo2bo4bo2bo2bo14b3obo2bob3o15b
3obo2bob3o15b3obo2bob3o16b3obo2bob3o28bobobobo360b5o$10bo3bo22bo23bo
29bobobobobobo13b3obobob3o11bo13bo35b2o11b2o12bo2bobo2bo38b2o2b2ob3o
15b4o5b4o51bo5bo18bo5bo17b2o2bobo2b2o15bo7bo16b2obo2b2o2b2o2bob2o11bo
2b4o6b4o2bo10bo2b4o6b4o2bo20b3obo2bob3o21b4o23b4o23b4o24b4o32bobobobo
360b5o$6b2o6bo21bo23bo31bo2bobo2bo14bob3ob3obo60b3o11b3o11b2obobob2o
38b4o4b2o16b3o5b3o48bob2obo3bob2obo10bob2obo3bob2obo15bobobobo15bob2o
5b2obo14b2obo3b4o3bob2o14b2obo6bob2o16b2obo6bob2o27b4o24b6o21b6o21b6o
22b6o31bobobobo359bobo$5bo2b2ob2o23bo23bo31bo2bobo2bo15bobo3bobo12b2o
11b2o63bobobobo40b2o5bo75bobobo2bobo2bobobo8bobobo2bobo2bobobo10bo3bo
5bo3bo10bo3b2o3b2o3bo11bo9b2o9bo9bobo2b2ob4ob2o2bobo10bobo2b2ob4ob2o2b
obo23b6o23b6o20bob4obo19bob4obo21b6o28b2obobobobob2o173bo7bo57bo7bo
108b3o$6bo3b3o24bo2b2o19bo2b2o25b3obobob3o87b3o5b3o12b3o2bobo2b3o44bo
80bobobobo18bobobobo14bob2obo5bob2obo8bo4bo2bo2bo4bo10bobob2o10b2obobo
16bo4bo24bo4bo30b6o23bo4bo20b3o2b3o19b3o2b3o21bo4bo27bobobobobobobobo
166b2obobob2o3b2obobob2o45b2obobob2o3b2obobob2o100b2obo$11bobo20b2o4b
2o16b2o4b2o24bo4bobo4bo14bo5bo12b3o11b3o36bobo5bobo13bobobobobobo44bo
76bo3b2obobob2o3bo8bo3b2obobob2o3bo9bo3bo7bo3bo8bo4bobobobo4bo12bobo
12bobo84bo4bo21b2o6b2o16b3ob4ob3o15b3ob4ob3o17b2o6b2o25bo2bo2bobo2bo2b
o163b3obob3o9b3obob3o39b3obob3o9b3obob3o96bob3o$8b2o2b2o19bob2o5b2o13b
ob2o5b2o23bo3bobo3bo14b3o3b3o16bo5bo40b3o7b3o13b2obobob2o123bo2bob2ob
2obo2bo10bo2bob2ob2obo2bo11b2obob2ob2obob2o9b2obo9bob2o12bo3b2o6b2o3bo
48bo4bo28b2o6b2o17bo3bo4bo3bo68bo3bo4bo3bo29bobo59bo3b3o5b3o3bo30bo3b
3o5b3o3bo42bo3bobo5bobo5bobo3bo4b3o2b2ob2o4b3o4b2ob2o2b3o4bo3bobo5bobo
5bobo3bo67bo7bo19bo3bo$9b6o19b3obo2bo2bo13b3obo2bo2bo23bo7bo14bo9bo12b
obo2bobo2bobo36b3o9b3o8b2o3bobobobo3b2o120bo2bobobobo2bo12bo2bobobobo
2bo43bobo18b2o5bo4bo5b2o18bo2bo57bo3bo4bo3bo14b2obo8bob2o13b2o8b2o15b
2o8b2o14b2obo8bob2o28bobo56b2ob5ob2o3b2ob5ob2o24b2ob5ob2o3b2ob5ob2o43b
2o6bobo6b2o9bo3bo4bo9bo4bo3bo9b2o6bobo6b2o65b2obobob2o3b2obobob2o13bob
o$14b2o21b2ob3obo16b2ob3obo20bobo9bobo10b2ob2o3b2ob2o11b2o3bobo3b2o35b
o2bo9bo2bo9bob2obobob2obo121bo5bobo5bo10bo5bobo5bo36bo4b2ob2o4bo11bo2b
3o3bo2bo3b3o2bo14b3ob2ob3o23b4o26b2obo8bob2o15bo2bo4bo2bo13b2o12b2o11b
2o12b2o14bo2bo4bo2bo10b2o5b2o6bo2bobobobo2bo6b2o5b2o34bob2obo5bobobobo
5bob2obo20bob2obo5bobobobo5bob2obo38b2o9bobo9b2o3b2obo10bo5bo10bob2o3b
2o9bobo9b2o59b3obob3o9b3obob3o8bo$11bobo2bo21b2o3bo18b2o3bo22b2o9b2o
11b2o9b2o12bo3bobo3bo37bobo9bobo8b2o3bobobobo3b2o223bo2bo10bo2bo15bo
10bo54bo2bo4bo2bo19b2o4b2o16bo12bo13bo12bo17b2o4b2o10bo3bo3bo2bo3b2obo
bobobobobob2o3bo2bo3bo3bo31bo3bobo3b5ob5o3bobo3bo18bo3bobo3b5ob5o3bobo
3bo37b2ob2o15b2ob2o2b3obo5b2obobobobobobob2o5bob3o2b2ob2o15b2ob2o59bo
3bobo5bobo5bobo3bo6b2o$8bo4bobo72bo15bo9bo2b3ob3o2bo8bo4b3o3b3o4bo35bo
9bo14bo2bobo2bo124bo3bo3bo3bo12bo11bo39bobo5bobo17b2o2bo4bo2b2o16b3o8b
3o17b2ob6ob2o26b2o4b2o121bo3bobob3o5b3obobobobob3o5b3obobo3bo35b3o5b2o
3b2o5b3o11b4o11b3o5b2o3b2o5b3o45bo15bo6b2o3bo2b2o6bo3bo6b2o2bo3b2o6bo
15bo67b2o6bobo6b2o8bo152bo5bo$13bo29b2o22b2o20bo2bo7bo2bo9b2o2bo5bo2b
2o8b2o2b3o3b3o2b2o35b2o9b2o148bo7bo18bo3bo44b2o5b2o18bo12bo15b2o3bob2o
bo3b2o15bobo2bo2bo2bobo56bo2bo17b2ob2o6b2ob2o11b2ob2o6b2ob2o18bo2bo12b
o5b2o2b3ob3o3bobobobo3b3ob3o2b2o5bo32bo2bob3o13b3obo2bo6bo6bo6bo2bob3o
13b3obo2bo189b2o9bobo9b2o3b2o4bo148bo5bo$8b2o31bo23bo25bobo5bobo11b2o
2bo5bo2b2o60bo11bo174bo5bo43b2o5b2o17b2ob2o6b2ob2o16b4ob2ob4o16bobo2bo
b2obo2bobo26bo2bo21b12o12bo3bobo4bobo3bo9bo3bobo4bobo3bo13b12o8b2ob3o
13b2obobob2o13b3ob2o34bo23bo3bo3bo3b2o3bo3bo3bo23bo191b2ob2o15b2ob2o6b
obo148bobo3bobo$8bo26bobob3o2bo14bobob3o2bo23bo7bo39b2obobob2o40bobo5b
obo14b3o3b3o151bobobobobo68b2o12b2o12bob2o2b2ob2ob2o2b2obo12bo5b4o5bo
22b12o21b4o17b5o6b5o11b5o6b5o18b4o12bo19bobobobo19bo62b2o3bobo2bobo3b
2o223bo15bo162bo5bo$11bo22bo2b2o5bo13bo2b2o5bo45bob2o5b2obo12bob3ob3ob
o41bo5bo13bo3b2o3b2o3bo147bo2bobobo2bo69b2o8b2o15b3o12b3o11b2o4bo6bo4b
2o24b4o20b2obo6bob2o68b2obo6bob2o8bo3bo14bobobobo14bo3bo63bobobobo4bob
obobo402bo5bo$10bob2o21bo5bo17bo5bo22b3o11b3o8bo2b2o5b2o2bo11b3obobob
3o41b2o3b2o12b3o4bobo4b3o151bo45b3o2bo2b3o74b2obo3bo4bo3bob2o19b2obo6b
ob2o16bo2bo4bo2bo13b3obo6bob3o11b3obo6bob3o14bo2bo4bo2bo10bo2bo11b2obo
bobobob2o11bo2bo462bo7bo33bo7bo$8bo4bo24b3o21b3o25b3o7b3o10bo3b2o3b2o
3bo11b2o7b2o41b2o3b2o16bo2bobo2bo151b2o5b2o40bob4ob4obo74b2o14b2o21bo
2bo4bo2bo18b2o6b2o17b2o6b2o17b2o6b2o18b2o6b2o26b2obobobobob2o471b2obob
ob2o3b2obobob2o7bo13b2obobob2o3b2obobob2o$7bob6o75bo2bo5bo2bo13bo7bo
17b2ob2o66bobobobobobo22bo130bobo42b2o4bobo4b2o80bo2bo29b2o6b2o18b3o6b
3o17bo6bo19bo6bo18b3o6b3o24bo3bobobobo3bo467b3obob3o9b3obob3o4bo10b3ob
ob3o9b3obob3o$6bo26b3o5b2o14b3o5b2o46bo2bo2bobo2bo2bo11bobobobobobo61b
o5bobo5bo19b2o128bobobobo45b2ob2o117b3o6b3o16b3o8b3o17b2o2b2o21b2o2b2o
18b3o8b3o24b4obobob4o468bo3bobo5bobo5bobo3bo2b2obo9bo3bobo5bobo5bobo3b
o$9bo25bo4bobo16bo4bobo23bo11bo10bo3bobobobo3bo11bobobobobobo61bo5bobo
5bo19bo2bo36b2obo87bo3bo167b3o8b3o15bobo8bobo17b2o2b2o21b2o2b2o18bobo
8bobo25b3obobob3o473b2o6bobo6b2o8bo14b2o6bobo6b2o$7b3o25b2o22b2o29bobo
7bobo9b2obob2o3b2obob2o14bobo66b5o3b5o24bo26b3o2bo3b2ob2o258bobo8bobo
47b4o23b4o25b2o22bo7b2o3bobo3b2o7bo461b2o9bobo9b2o5bo11b2o9bobo9b2o$
37bo2b2o19bo2b2o25b3o5b3o15bo5bo19bobo102bo2b2o22bo5bob2o5bo287b3o6b3o
15b2ob6ob2o15b2ob6ob2o20bo2bo15b2obobob2o3b2ob2o2bobo2b2ob2o3b2obobob
2o455b2ob2o15b2ob2o17b2ob2o15b2ob2o$35b3o2b2o17b3o2b2o26b2o5b2o39b2obo
bob2o101bo2bo17b3ob4o2bo3bo3bo259b3o6b3o18b2o6b2o16bo2b2o2b2o2bo15bo2b
2o2b2o2bo16b3obo2bob3o8b3obob3o11bobobobo11b3obob3o456bo15bo25bo15bo$
7bo32bo23bo27bobo3bobo13b3o7b3o14bobobobo104bo12b3o4bo4b3o5bo3bo2bo
257b2o6b2o20b2o4b2o15b2o3bo4bo3b2o11b2o3bo4bo3b2o15bo3b2o3bo9bo3bobo5b
obo3bobobobobobo3bobo5bobo3bo141b2o5b2o5b2o5b2o54b2o5b2o5b2o5b2o$7b2ob
o30b2o22b2o26bo5bo14bo11bo11b2obobobobob2o100b2o8b2o2b3o2b3o7b2o4b3o2b
2o258b2o4b2o20bo2bo2bo2bo13bo5bo4bo5bo9bo5bo4bo5bo18b2o17b2o6bobo3bobo
bobobobo3bobo6b2o143bo3bo3bo2bo3bo2bo3bo3bo3bo8bo9b2o2b2o9bo8bo3bo3bo
3bo2bo3bo2bo3bo3bo$9bob2o25bo23bo51b2o9b2o11b5o3b5o103b3o4bob2ob2o3b2o
4bo3bo8bo4b2o253bo2bo2bo2bo20bobo2bobo14bo16bo9bo16bo16b2o2b2o12b2o9bo
bo5bobobobo5bobo9b2o140bo3bobob3o5b3obobo3bo3bo7bobo7bo2b2o2bo7bobo7bo
3bo3bobob3o5b3obobo3bo$10bobo24b2o22b2o50b2ob2o5b2ob2o10b3o7b3o103b2ob
2o3b3o2bo3b2o3bobobo10bobob3o253bobo2bobo44bo14bo11bo14bo14b2o8b2o9b2o
b2o13b2obobob2o13b2ob2o140bo5b2o2b3ob3o2b2o5bo3bo7bobo5bo4b2o4bo5bobo
7bo3bo5b2o2b3ob3o2b2o5bo$9b2ob2o22b3o21b3o50b2o3bo3bo3b2o126bo8b2o2bo
11bobo15bo280b4o4b4o14bo2bo6bo2bo13bo2bo6bo2bo15bob3o2b3obo13bo14bobob
obo14bo144b2ob3o15b3ob2o5b2o2bo8bobob2o2b2obobo8bo2b2o5b2ob3o15b3ob2o
78b2o5b2o$37bo23bo52bo2bo5bo2bo11b2o9b2o105bobo3bo9bo21b2o253b4o4b4o
16bobo2bo2bo2bobo14b2o3b2o3b2o15b2o3b2o3b2o16bo10bo25b2obobobobob2o
156bo25bo5bo2b3o2b2o4bo10bo4b2o2b3o2bo5bo25bo70b4obobobo5bobobob4o4bo$
38bo23bo75b2o9b2o105bobob2o9bo22b2o252bobo2bo2bo2bobo15bo12bo14b2o3b2o
3b2o15b2o3b2o3b2o16b3o6b3o24bobobobobobobobo156bo3bo15bo3bo15bo4bo10bo
4bo15bo3bo15bo3bo70b3obobob2obo3bob2obobob3o2bobo6b3o$37bobo21bobo54bo
3bo14bobo9bobo396bo12bo18bo2b2o2bo17bo4b2o4bo15bo4b2o4bo17b2o6b2o26b2o
bobobobob2o115b2o5b2o5b2o5b2o20bo2bo15bo2bo8bobo9bo12bo9bobo8bo2bo15bo
2bo71bo3bobo13bobo3bo11b3o37bo7bo$38bobo21bobo50b3obobob3o12b2o9b2o
145b3o252bo2b2o2bo16bo3b10o3bo13bobob2obobo17bobob2obobo58bo3bo117bo3b
o3bo2bo3bo2bo3bo3bo61bo12bo115bob3o5b2ob2o5b3obo3bo2bo14bo24b2obobob2o
3b2obobob2o$39bo23bo50b4obobob4o10bobo9bobo144bo249bo3b10o3bo15bo8bo
16b2o2b4o2b2o15b2o2b4o2b2o14bo3b2o4b2o3bo86b2o5b2o5b2o5b2o10b2o16bob2o
8bo3bobob3o5b3obobo3bo190b2o21b2o6b2ob8ob6o6b2o3b2o6b3obob3o9b3obob3o$
113bo5bobo5bo167bo3bo250bo8bo16bo3bo6bo3bo13bo10bo15bo10bo14b2o4bo2bo
4b2o26bo5bo51bo3bo3bo2bo3bo2bo3bo3bo7bobobo2b3o4b2o3bobo2bo6bo5b2o2b3o
b3o2b2o5bo190b5o15b5o7b3o2b2o9b3o5bobob2o6bo3bobo5bobo5bobo3bo$35b3o
21b3o51bo13bo8bo5bo3bo5bo141bo4bo250b2o6b2o18b4o4b4o16bo2bo2bo2bo17bo
2bo2bo2bo56bobo3bobo50bo3bobob3o5b3obobo3bo3b3obobo2b3obo4bob2obobobo
2bo4b2ob3o15b3ob2o193b2o15b2o10b2o11bob2obob2o2b2obo3b3o6b2o6bobo6b2o$
37b3o21b3o54bo3bo13bo5bo3bo5bo146bo248bo2b2o4b2o2bo44bobo4bobo17bobo4b
obo16bo12bo22b3obo2bobo2bob3o46bo5b2o2b3ob3o2b2o5bo3b3o2b2o8bo4bo5bo3b
2o3bo25bo233b3o4bobo2bo13b2o9bobo9b2o$37bo2bo20bo2bo71bo5bo3bo5bo142b
5o249b2o2bo2bo2b2o14b3o12b3o14bobo2bobo19bobo2bobo17bob3o4b3obo22b3o2b
obobobo2b3o46b2ob3o15b3ob2o2b3o3b2o9b5o5bobo2bo4bo3bo15bo3bo240b3o2b2o
7b2o4b2ob2o15b2ob2o$112bob2ob2o3b2ob2obo9bobo7bobo396bobo2b2o2b2o2bobo
15bob2ob2ob2obo18bo4bo21bo4bo23bo2bo28b4o2bobo2b4o47bo25bo2bo5b2o3bo3b
o2bob3o4bo5bo4bo2bo15bo2bo238b4o23bo15bo$37bo23bo50bo2bob2o3b2obo2bo9b
obo7bobo401bo4bo17bo2b2o8b2o2bo14bobo2bobo19bobo2bobo15b2o4bo4bo4b2o
24bo2bobo2bo51bo3bo15bo3bo4bo10bo14bo3bobo267bo$37bobo21bobo49bo13bo
10bobo7bobo395bo2bo10bo2bo15bo8bo18bob4obo19bob4obo14b3o14b3o21bo4bobo
4bo50bo2bo15bo2bo$38b3o21b3o72bo3bo5bo3bo395bo14bo17b2o4b2o19bo2b2o2bo
19bo2b2o2bo54bob3obobob3obo$39b2o22b2o481b2ob2o8b2ob2o18b4o21bob4obo
19bob4obo17b3o8b3o24b5o3b5o$39bobo21bobo510b3o4b2o4b3o14bo8bo17bo8bo
16bobo8bobo25b3o5b3o$40bo23bo514b3o4b3o69b3o10b3o$607bo6bo42b3o12b3o
228bo3bo20bo3b2o$580b2o4b2o20bo4bo19bo3b2o3bo13bo2bo12bo2bo226bobobob
2o17bobobobo$610b2o20bo3bo2bo3bo13bobo12bobo199bo7bo18bo2bobo19bo2bob
2o$631bo12bo14bo12bo195b2obobob2o3b2obobob2o13b2obo20b5o29bo$632bob2o
4b2obo14b2o12b2o191b3obob3o9b3obob3o8bo7bo3b2ob2o7bo8bobob5o9b2o2bo3b
5o$635bo4bo17bo14bo191bo3bobo5bobo5bobo3bo6b2o8b5o2b2o7bo8bo14b2obo2bo
bobo3bobo$635b2o2b2o18bobo8bobo196b2o6bobo6b2o8bo13b2o2b2o4b2o2bo12bob
3o2b3o3b2o6bobo2bo$635b2o2b2o20bo8bo195b2o9bobo9b2o3b2o4bo18b2o22b4o5b
o3bo4b2o$661b2o6b2o195b2ob2o15b2ob2o6bo19b2o23b3o8b2o4bob2o2b3o$661b2o
6b2o199bo15bo29bo25bo8bob2o3bo6bo$950bobobo10b7o$950bobo2b2o10bobo2bo$
968b2o$814bo5b2o5b2o5bo213b2o5b2o83b2o5b2o$802b4o6bo2b2ob2o2bo3bo2b2ob
2o2bo132bo70b4obobobo5bobobob4o4bo57bo4b4obobobo5bobobob4o$760b2o5b2o
5b2o5b2o12bo3b4o7b3o4bobo3bobo3bobo4b3o132b2o66b3obobob2obo3bob2obobob
3o2bobo6b3o37b3o6bobo2b3obobob2obo3bob2obobob3o$758bo3bo3bo2bo3bo2bo3b
o3bo9bo8b4o3b2o2bo2b3ob2o3b2ob3o2bo2b2o132b2o66bo3bobo13bobo3bo11b3o
37b3o11bo3bobo13bobo3bo$758bo3bobob3o5b3obobo3bo10bobo3bo3bob2ob3o2b3o
4bo3bo4b3o2b3o129b2o2b2o66bob3o5b2ob2o5b3obo3bo2bo14bo23bo14bo2bo3bob
3o5b2ob2o5b3obo$758bo5b2o2b3ob3o2b2o5bo3bo7b2o3bo4bo2b3obo2bo15bo2bobo
132b2o68b2o21b2o6b2ob8ob6o6b2o3b2o6b6ob8ob2o6b2o21b2o$758b2ob3o15b3ob
2o3bo7b2o12bobo23bo131bob2o2bo65b5o15b5o7b3o2b2o9b3o5bobobo5b3o9b2o2b
3o7b5o15b5o$758bo25bo3bo3bo3bo2bo8b2o159bo2b2o69b2o15b2o10b2o11bob2obo
b2o2b2ob2o2b2obob2obo11b2o10b2o15b2o$759bo3bo15bo3bo6bo2b2o3bo284b3o4b
obo2bo5bo2bobo4b3o$760bo2bo15bo2bo7bo298b3o2b2o5b2o2b3o$1086b4o17b4o$
1088bo19bo!
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Re: Spaceship Discussion Thread

Postby gameoflifeboy » March 11th, 2016, 1:21 am

I just found a 3c/10 partial pattern with Zdr's awesome new search program:

x = 16, y = 26, rule = B3/S23
7b2o$5bo4bo$4b2o4b2o$4b2o4b2o$2bo10bo$2b3o6b3o$2bo10bo$3b10o$3b3o4b3o$
6bo2bo2$6bo2bo$2b3obo2bob3o$bo2b3o2b3o2bo$4bob4obo2$bobo2bo2bo2bobo$2b
ob2o4b2obo$3b2obo2bob2o$2bo3b4o3bo$5bo4bo$bo5b2o5bo$o2b3o4b3o2bo$bo4b
4o4bo$2o4b4o4b2o$bo3b2o2b2o3bo!


Also, a partial 3c/8 from a WLS search I did a few days ago:

x = 12, y = 26, rule = B3/S23
11bo$9b3o$9bobo$8bo2bo$4b3obo$3bo2bo4bo$2bobo2b3obo$b2ob2ob2o$2obo3b2o
$b3o3b4o$2bo4bo2bo$9b2o$9bo$9bo$9b2o$2bo4bo2bo$b3o3b4o$2obo3b2o$b2ob2o
b2o$2bobo2b3obo$3bo2bo4bo$4b3obo$8bo2bo$9bobo$9b3o$11bo!


EDIT: Another 3c/10 partial that doesn't lead anywhere at width 16. This one holds up slightly better:
x = 16, y = 26, rule = B3/S23
7b2o$5bo4bo$4b2o4b2o$4b2o4b2o$2bo10bo$2b3o6b3o$2bo10bo$3b10o$3b3o4b3o$
6bo2bo2$7b2o$7b2o$4bo6bo$3b2o2b2o2b2o$2bo4b2o4bo$bobo8bobo$2obo8bob2o$
2o2bo6bo2b2o$bob2o6b2obo2$b2o4b2o4b2o2$o2b2ob4ob2o2bo$o3bo2b2o2bo3bo$b
o2bo6bo2bo!


EDIT: Some partial 2c/9's:
x = 163, y = 29, rule = B3/S23
6bo29bo29bo29bo28b2o25bo6bo$6bo27bo3bo25bo3bo54bo4bo22b2o6b2o$5b3o26bo
3bo24bo5bo23bo5bo23bo4bo$32bo7bo20bo9bo20bo3bo3bo21bo2b2o2bo19bo2bo6bo
2bo$6bo25bob5obo20bo3b3o3bo20bo2bobo2bo21b2ob2ob2o19bo2bo6bo2bo$3b7o
22bobo3bobo20bo9bo20b2o5b2o22bob2obo22b2o6b2o$63b3ob3o21b2obo3bob2o20b
o6bo23bo4bo$b3ob3ob3o22bo3bo25bo3bo25b2ob2o23b3o2b3o21b3o4b3o$b2o2b3o
2b2o21bo2bo2bo19b2obobobobobob2o16bo4b3o4bo19b2ob2ob2o22bo6bo$b2o7b2o
17b4o3bo3b4o15b2o4b3o4b2o17bo3b3o3bo16b3o3bo2bo3b3o$bo4bo4bo17b2o2bo5b
o2b2o16bo11bo17b2obobobobob2o15b3o10b3o$ob2o2bo2b2obo17b3o7b3o18bo9bo
18b2o9b2o22b2o26b6o$4b5o22bo2bo3bo2bo20b2o5b2o18bo6bo6bo16bo10bo20bo2b
2o2bo$2bo7bo22b2o3b2o20b3o2b3o2b3o46b2o10b2o18bo3b2o3bo$31b4o3b4o20bob
o3bobo80bo2bo2bo2bo$2b3o3b3o19b2o4bo4b2o20bo5bo51b2o6b2o20b3o4b3o$o5bo
5bo17bo11bo20b2o3b2o53bo4bo22bob6obo$2o4bo4b2o18b3obobob3o18b2o2b5o2b
2o47bo10bo23b2o$31b2o7b2o78b2obo4bob2o18b2o8b2o$obo7bobo105b4obo4bob4o
16b2obo4bob2o$118b2o12b2o17bob2o2b2obo$120bo10bo18bo2b2o2b2o2bo$120bob
2o4b2obo19bob2o2b2obo$120bob2o4b2obo18b2obo4bob2o$120b5o2b5o19b2ob4ob
2o$120b2o8b2o19bo8bo$120bo4b2o4bo$118b2ob2obo2bob2ob2o$121bobo4bobo!


And some partial c/9's:
x = 109, y = 45, rule = B3/S23
3$10b2o28b2o28b2o28b2o$8b6o24bo4bo$7b8o22bo6bo22bo6bo22bo6bo$6bo8bo20b
o8bo20b2o6b2o20bo8bo$6b2o6b2o20b2ob4ob2o21bob4obo21bo2b4o2bo$6b2ob4ob
2o21bo6bo23bo4bo21b2o2bo2bo2b2o$7bob4obo23b2o2b2o24b6o21bo2b2o2b2o2bo$
6bo2bo2bo2bo21bobo2bobo23b2o2b2o20b4o6b4o$9bo2bo23b2ob4ob2o22b2o2b2o
24bo4bo$6bo2bo2bo2bo21bobo2bobo22b2o4b2o21bo8bo$7bo6bo19b3obob2obob3o
18bo8bo20b2o6b2o$38bob2obo24bo4bo21bobobo2bobobo$6bo8bo19b3obo2bob3o
18b2ob6ob2o18b2o3b2o3b2o$6bob6obo20b2ob4ob2o23bo2bo22bo4b2o4bo$6bob2o
2b2obo19bo3bo2bo3bo21b2o2b2o$8bo4bo22bob2o2b2obo21b2o4b2o21b3o4b3o$9bo
2bo25bo4bo22b2o6b2o19b3o2b2o2b3o$6b2o6b2o19b2o2bo2bo2b2o18b2o2b4o2b2o$
5bob2o4b2obo17bo3b6o3bo17bo2b2o2b2o2bo$7bo6bo21b2o2b2o2b2o20bob2o2b2ob
o$4bo12bo19b2o4b2o$5b3o6b3o$7bo6bo$9bo2bo$8b2o2b2o$5bob3o2b3obo$5b2obo
4bob2o$6b2o6b2o!


And partial c/8's:
x = 152, y = 126, rule = B3/S23
28$43bo6bo25b2o28b2o28b2o$42b2o6b2o24b2o26bo4bo23bo6bo$44bo4bo24bob2ob
o24bo4bo22bo8bo$41b2o8b2o19b2o6b2o22bo4bo22bo8bo$44bo4bo22b2o6b2o22bo
4bo22b2ob4ob2o$41b2o2bo2bo2b2o18b2o8b2o19bo2bo2bo2bo20b3o4b3o$41b2ob2o
2b2ob2o18bobo6bobo19b3ob2ob3o19bo3bo2bo3bo$44bo4bo23bo6bo21bo8bo19bob
3o2b3obo$70bo12bo47bo3bo2bo3bo$43b3o2b3o22b2o4b2o22b2o4b2o22bo6bo$44bo
4bo20b2o10b2o18bo8bo20bob2o2b2obo$44bo4bo81bo3bo2bo3bo$44b2o2b2o23b2o
4b2o21bo8bo19bo2b2o2b2o2bo$44bob2obo25b4o22b2obo4bob2o21b2o2b2o$43b2o
4b2o23b6o21b2o3b2o3b2o17bo12bo$44bob2obo24bo4bo21b12o17bo2bo6bo2bo$
105b4o22b2o8b2o$42bo3b2o3bo20b2obo2bob2o48b2o4b2o4b2o$72b4o2b4o22bo4bo
20b2obobo2bobob2o$43b3o2b3o24bo2bo54bo2b2o2bo$44b2o2b2o24b2o2b2o23bobo
2bobo22bobo2bobo$72b2o6b2o20b3o4b3o18b2o10b2o$43bobo2bobo51bo8bo20bo8b
o$42bob2o2b2obo18b2obo6bob2o19b2ob2ob2o19b3o8b3o$41b3o6b3o20bo6bo21b2o
b4ob2o18b2ob8ob2o$40b3o8b3o16b2obo6bob2o17bo4b2o4bo18bo3bo2bo3bo$40b2o
10b2o16b2o3bo2bo3b2o17b2o8b2o18bobo6bobo$44b6o21bo10bo18b2o8b2o18bobob
o2bobobo$44b2o2b2o20bo4b4o4bo$41b2obo4bob2o20bob4obo$44bob2obo$41b2obo
b2obob2o$41bo3bo2bo3bo$43b3o2b3o$40bo3bo4bo3bo$40bob2o6b2obo$44b2o2b2o
!
Last edited by gameoflifeboy on March 12th, 2016, 1:39 am, edited 2 times in total.
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Re: Spaceship Discussion Thread

Postby thunk » March 11th, 2016, 1:31 am

(1,0)c/9 even width 14 returned negative results with zfind. The longest partials were these:

x = 49, y = 38, rule = B3/S23
2$5bo6bo19bo4bo$4bobo4bobo17bobo2bobo$4bo2bo2bo2bo17bobo2bobo$5b2o4b2o
18bo6bo$32b2o2b2o$4bobo4bobo18b2o2b2o$4bo2bo2bo2bo20b2o$4bobo4bobo19bo
2bo$4b3o4b3o18bo4bo$3bobo6bobo13b2obo6bob2o$2b2ob2o4b2ob2o13bobobo2bob
obo$5bo6bo17b2obo2bob2o$32bob2obo$31b2o4b2o$8b2o22bo4bo$6bo4bo21b4o$3b
ob3o2b3obo13b3o8b3o$2bo12bo13b2obo4bob2o$3bob3o2b3obo13bo12bo$4b2o6b2o
16b3o4b3o$29bo2bo4bo2bo$5b2o4b2o18b2o4b2o$6bob2obo17bob8obo$4b10o15b
12o$4b2obo2bob2o15bo3bo2bo3bo$5bobo2bobo$7bo2bo17b2o10b2o$2b2obo6bob2o
17b4o$4b2obo2bob2o14bo2b3o2b3o2bo$7bo2bo18b3o6b3o$4bo8bo20b2o!
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The Evanston Express."
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Re: Spaceship Discussion Thread

Postby Sokwe » March 11th, 2016, 2:52 am

I made a discussion topic for zfind.

I also made modifications to add a gutter-symmetry mode and allow for p < 3k. I'm not entirely sure how this affects the search.

I ran 4c/11 at width-7 and 5c/11 at width-8 using this modification. Here are the longest partial results:
x = 136, y = 20, rule = B3/S23
5bo16bo6bo13bo7bo31bo5bo12bo8bo11bo9bo$5bo15bobo4bobo11bobo5bobo29bobo
3bobo10bobo6bobo9bobo7bobo$4bobo14bo2bo2bo2bo14bo3bo31bo3bobo3bo8b2ob
2o4b2ob2o7b2ob2o5b2ob2o$4bobo14bobo4bobo14bo3bo31bo9bo12bo4bo12bo2bo5b
o2bo$2bo5bo13b2o4b2o10bo5bobo5bo26bobobobobobo31b3o5b3o$bo7bo11bobo4bo
bo9bobo2bo3bo2bobo30bobo16b6o13b2o7b2o$2bobobobo13bo6bo11bob3o3b3obo
29b3ob3o13b2ob2ob2o$3b2ob2o13bo8bo14bo3bo53b2ob2ob2o10b2o11b2o$2bo5bo
12b2o6b2o12bo7bo28bob2o5b2obo8bo10bo13b2ob2o$3b2ob2o12b12o9bo4bobo4bo
29bo5bo12bo8bo15bobo$2bo5bo10b2o2bo4bo2b2o11b2o3b2o29bo4bobo4bo7bob2o
6b2obo10b2obobob2o$obo5bobo8b3o8b3o8b2ob2o3b2ob2o27b3obobob3o9b2ob6ob
2o11bo2bobo2bo$obo5bobo10bobo4bobo11bo2bo3bo2bo29b9o13b6o11b2obo2bobo
2bob2o$4bobo14b4o2b4o11bobo5bobo33bo14b3o6b3o8bo4b2ob2o4bo$b2o5b2o12bo
6bo15bo3bo30b2o2bo3bo2b2o28bo13bo$bo7bo13bo4bo15bo5bo72b2obo3bob2o$11o
9b2ob6ob2o91bo9bo$121bo3bo5bo3bo$20bo4b2o4bo89bo3b2o3b2o3bo$123b2obo3b
ob2o!


I'm currently not comfortable with putting negative zfind results in the table.

Edit: 5c/12 width-7 longest partials:
x = 56, y = 20, rule = B3/S23
2bo7bo12bo6bo13bo7bo$bobo5bobo10bobo4bobo11bobo5bobo$o3bo3bo3bo9bo2bo
2bo2bo10bo3bo3bo3bo$ob2o5b2obo9bobo4bobo10bo3bo3bo3bo$22bo8bo9b2o2b3ob
3o2b2o$4b5o12bo10bo9bo4bobo4bo$3b2obob2o32bo3b2ob2o3bo$6bo17bo4bo17bob
o$22bob6obo14bo3bo$3b2o3b2o15bo2bo14b2o7b2o$21bo10bo10bo2b2ob2o2bo$b2o
2b3o2b2o8b2o3b4o3b2o9bobo5bobo$o2bobobobo2bo7b2o2b2o2b2o2b2o11b2o3b2o$
6bo15b3o4b3o10bobo7bobo$b3o2bo2b3o9bo3b4o3bo2$b2obo3bob2o$2bob2ob2obo$
bobo5bobo$b2obo3bob2o!
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Re: Spaceship Discussion Thread

Postby thunk » March 11th, 2016, 3:29 am

Here's the 3c/11 gutter width 13 longest partial (zfind-mm) for completeness' sake:

x = 13, y = 30, rule = B3/S23
3bo5bo$3bo5bo$2bobo3bobo4$2b3o3b3o3$2b3o3b3o$2b3o3b3o$b2ob2ob2ob2o3$b
2o7b2o$3b3ob3o3$2b3o3b3o2$2b3o3b3o$bo2bo3bo2bo$o2bo5bo2bo$b2ob2ob2ob2o
$4b2ob2o$2bo7bo$o4bobo4bo$4b2ob2o$b2o7b2o$bobo5bobo!
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The Evanston Express."
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Re: Spaceship Discussion Thread

Postby muzik » March 11th, 2016, 3:42 am

I might be producing infinite cow manure through my mouth here, but these partials look so promising it isn't even funny.

I feel like the rest of the 202nd decade will be a great year for spaceship speeds.



Also, can I repost these zfind discovered ships into their appropriate thread?
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Re: Spaceship Discussion Thread

Postby thunk » March 11th, 2016, 3:54 am

muzik wrote:I might be producing infinite cow manure through my mouth here, but these partials look so promising it isn't even funny.


I'm inclined to be a bit more skeptical--as Tim Coe said in the knight2 thread, the partials start getting really long (5-10 times longer than their width) just before the actual ships are discovered. These partials are not quite there yet (but some of the c/7 ones are close).
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The Evanston Express."
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Re: Spaceship Discussion Thread

Postby A for awesome » March 11th, 2016, 10:58 am

Nothing with (zdr's search program/zfind, whichever is correct) for even width 10 3c/14.
#A21C version -1.0
#Probably a CGOL one-liner:
f(&a){a=(ind(a),((-1:2)**2))`@int(x,y){return a[x],y``@int(z,w){\
return z+a[(x,w)`(+)]\:0}}`@bool(x,y){return y==3||(x&&y==4)}}


http://conwaylife.com/wiki/A_for_all

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Re: Spaceship Discussion Thread

Postby fluffykitty » March 11th, 2016, 11:31 am

Conzenzuz zeemz to be zfind.
I like making rules
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Re: Spaceship Discussion Thread

Postby gameoflifeboy » March 15th, 2016, 11:49 pm

I just found a very long 3c/11 partial:
x = 22, y = 48, rule = B3/S23
10bo$10bo$9bobo4$9b3o3$9b3o$9b3o$8b2ob2o2$8b2ob2o$6bo2b3o2bo$5b3o5b3o$
4bo2bo5bo2bo$6bo7bo$6bo7bo$6b2o2bo2b2o2$7b3ob3o$7b3ob3o$7bobobobo$8b2o
b2o$8b2ob2o2$8b2ob2o$7b3ob3o$6b3o3b3o$7b2o3b2o$4b2o2bobobo2b2o$9b3o$6b
o3bo3bo$5b2obo3bob2o$5b2obo3bob2o$6bo2bobo2bo!
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Re: Spaceship Discussion Thread

Postby Hdjensofjfnen » March 16th, 2016, 4:40 pm

gameoflifeboy wrote:I just found a very long 3c/11 partial:
x = 22, y = 48, rule = B3/S23
10bo$10bo$9bobo4$9b3o3$9b3o$9b3o$8b2ob2o2$8b2ob2o$6bo2b3o2bo$5b3o5b3o$
4bo2bo5bo2bo$6bo7bo$6bo7bo$6b2o2bo2b2o2$7b3ob3o$7b3ob3o$7bobobobo$8b2o
b2o$8b2ob2o2$8b2ob2o$7b3ob3o$6b3o3b3o$7b2o3b2o$4b2o2bobobo2b2o$9b3o$6b
o3bo3bo$5b2obo3bob2o$5b2obo3bob2o$6bo2bobo2bo!


Pulsar in the ash there. Nice!
x = 37, y = 7, rule = B3/S2-i34q
2o2bo3bob4o6bob5ob2o2bo2b2o$o3bo3bobo3bo5bobo5bobobo3bo$o3bo3bobo3bo5b
obo5bobobo3bo$o3b5obo3bo5bob3o3bobobo3bo$o3bo3bobo3bobo3bobo5bobobo3bo
$o3bo3bobo3bobo3bobo5bobobo3bo$2o2bo3bob4o3b3o2b5obo2b2o2b2o!
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Re: Spaceship Discussion Thread

Postby muzik » March 16th, 2016, 5:27 pm

Hdjensofjfnen wrote:Pulsar in the ash there. Nice!

Not a very uncommon sight in terms of symmetric partials like these.


However, it does get hassled a bit which could allow for a ship using a pre pulsar as an engine!
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Re: Spaceship Discussion Thread

Postby BlinkerSpawn » March 16th, 2016, 7:13 pm

muzik wrote:
Hdjensofjfnen wrote:Pulsar in the ash there. Nice!

Not a very uncommon sight in terms of symmetric partials like these.


However, it does get hassled a bit which could allow for a ship using a pre pulsar as an engine!

A "real" pre-pulsar engine would be c/5, like this pair of c/5 spiders hassling a pre-pulsar from orthogonal.rle:
x = 69, y = 13, rule = B3/S23
31bo5bo$30b3o3b3o4$2b2o5b2o5b2o5b2o19b2o5b2o5b2o5b2o$o3bo3bo2bo3bo2bo
3bo3bo15bo3bo3bo2bo3bo2bo3bo3bo$o3bobob3o5b3obobo3bo15bo3bobob3o5b3obo
bo3bo$o5b2o2b3ob3o2b2o5bo15bo5b2o2b3ob3o2b2o5bo$2ob3o15b3ob2o15b2ob3o
15b3ob2o$o25bo15bo25bo$bo3bo15bo3bo17bo3bo15bo3bo$2bo2bo15bo2bo19bo2bo
15bo2bo!
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Re: Spaceship Discussion Thread

Postby muzik » March 17th, 2016, 3:30 am

BlinkerSpawn wrote:
muzik wrote:
Hdjensofjfnen wrote:Pulsar in the ash there. Nice!

Not a very uncommon sight in terms of symmetric partials like these.


However, it does get hassled a bit which could allow for a ship using a pre pulsar as an engine!

A "real" pre-pulsar engine would be c/5, like this pair of c/5 spiders hassling a pre-pulsar from orthogonal.rle:

That I am aware of. What I was thinking of would actually be when a pre-pulsar pulls an object behind it like the bomber does with a blinker:

x = 100, y = 24, rule = Rainbow12
31.A5.A$30.3A3.3A4$2.2A5.2A5.2A5.2A19.2A5.2A5.2A5.2A$A3.A3.A2.A3.A2.A
3.A3.A15.A3.A3.A2.A3.A2.A3.A3.A$A3.A.A.3A5.3A.A.A3.A15.A3.A.A.3A5.3A.
A.A3.A$A5.2A2.3A.3A2.2A5.A15.A5.2A2.3A.3A2.2A5.A$2A.3A15.3A.2A15.2A.
3A15.3A.2A$A25.A15.A25.A27.B$.A3.A15.A3.A17.A3.A15.A3.A28.2B$2.A2.A
15.A2.A19.A2.A15.A2.A29.B.B$97.3B2$91.3B$92.B.B$93.2B$94.B3$92.B$92.B
$92.B!
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Re: Spaceship Discussion Thread

Postby Sphenocorona » March 17th, 2016, 12:13 pm

muzik wrote:That I am aware of. What I was thinking of would actually be when a pre-pulsar pulls an object behind it like the bomber does with a blinker:

This actually almost exists already, with a different speed - A pulsar can interact with two blinkers (one on each side) and travel 3 cells over 14 generations - and two traffic lights happen to produce blinkers in exactly the right spot for the reaction to repeat again. The issue is the rest of the traffic lights collides with the reaction and destroys it.
x = 15, y = 7, rule = B3/S23
3b3o3b3o$2bo3bobo3bo$2bo3bobo3bo$2bo3bobo3bo$o2b3o3b3o2bo$o13bo$o13bo!
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Re: Spaceship Discussion Thread

Postby muzik » March 17th, 2016, 1:35 pm

Sphenocorona wrote:
muzik wrote:That I am aware of. What I was thinking of would actually be when a pre-pulsar pulls an object behind it like the bomber does with a blinker:

This actually almost exists already, with a different speed - A pulsar can interact with two blinkers (one on each side) and travel 3 cells over 14 generations - and two traffic lights happen to produce blinkers in exactly the right spot for the reaction to repeat again. The issue is the rest of the traffic lights collides with the reaction and destroys it.
x = 15, y = 7, rule = B3/S23
3b3o3b3o$2bo3bobo3bo$2bo3bobo3bo$2bo3bobo3bo$o2b3o3b3o2bo$o13bo$o13bo!

This might be worth researching. Is there any non-c5-spaceship object that can eat the rest of the blinkers and still be carried along to the right spot?
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Re: Spaceship Discussion Thread

Postby BlinkerSpawn » March 17th, 2016, 2:55 pm

muzik wrote:
Sphenocorona wrote:
muzik wrote:That I am aware of. What I was thinking of would actually be when a pre-pulsar pulls an object behind it like the bomber does with a blinker:

This actually almost exists already, with a different speed - A pulsar can interact with two blinkers (one on each side) and travel 3 cells over 14 generations - and two traffic lights happen to produce blinkers in exactly the right spot for the reaction to repeat again. The issue is the rest of the traffic lights collides with the reaction and destroys it.
x = 15, y = 7, rule = B3/S23
3b3o3b3o$2bo3bobo3bo$2bo3bobo3bo$2bo3bobo3bo$o2b3o3b3o2bo$o13bo$o13bo!

This might be worth researching. Is there any non-c5-spaceship object that can eat the rest of the blinkers and still be carried along to the right spot?

So, 3c/14 reaction using this as a front end?
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Re: Spaceship Discussion Thread

Postby muzik » March 17th, 2016, 4:00 pm

BlinkerSpawn wrote:
muzik wrote:
Sphenocorona wrote:This actually almost exists already, with a different speed - A pulsar can interact with two blinkers (one on each side) and travel 3 cells over 14 generations - and two traffic lights happen to produce blinkers in exactly the right spot for the reaction to repeat again. The issue is the rest of the traffic lights collides with the reaction and destroys it.
x = 15, y = 7, rule = B3/S23
3b3o3b3o$2bo3bobo3bo$2bo3bobo3bo$2bo3bobo3bo$o2b3o3b3o2bo$o13bo$o13bo!

This might be worth researching. Is there any non-c5-spaceship object that can eat the rest of the blinkers and still be carried along to the right spot?

So, 3c/14 reaction using this as a front end?

Hell yeah!
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Re: Spaceship Discussion Thread

Postby drc » March 17th, 2016, 4:22 pm

muzik wrote:Hell yeah!

would gfind but:

/tmp/ccqyDVH2.o:gfind.c:(.text+0x4d9): undefined reference to `qIsEmpty'
/tmp/ccqyDVH2.o:gfind.c:(.text+0x4d9): relocation truncated to fit: R_X86_64_PC32 against undefined symbol `qIsEmpty'
/tmp/ccqyDVH2.o:gfind.c:(.text+0x936): undefined reference to `enqueue'
/tmp/ccqyDVH2.o:gfind.c:(.text+0x936): relocation truncated to fit: R_X86_64_PC32 against undefined symbol `enqueue'
/tmp/ccqyDVH2.o:gfind.c:(.text+0x981): undefined reference to `setVisited'
/tmp/ccqyDVH2.o:gfind.c:(.text+0x981): relocation truncated to fit: R_X86_64_PC32 against undefined symbol `setVisited'
/tmp/ccqyDVH2.o:gfind.c:(.text+0x3af5): undefined reference to `isVisited'
/tmp/ccqyDVH2.o:gfind.c:(.text+0x3af5): relocation truncated to fit: R_X86_64_PC32 against undefined symbol `isVisited'
/tmp/ccqyDVH2.o:gfind.c:(.text+0x3b0a): undefined reference to `enqueue'
/tmp/ccqyDVH2.o:gfind.c:(.text+0x3b0a): relocation truncated to fit: R_X86_64_PC32 against undefined symbol `enqueue'
/tmp/ccqyDVH2.o:gfind.c:(.text+0x3b5a): undefined reference to `pop'
/tmp/ccqyDVH2.o:gfind.c:(.text+0x3b5a): relocation truncated to fit: R_X86_64_PC32 against undefined symbol `pop'
/tmp/ccqyDVH2.o:gfind.c:(.text+0x3b73): undefined reference to `setVisited'
/tmp/ccqyDVH2.o:gfind.c:(.text+0x3b73): relocation truncated to fit: R_X86_64_PC32 against undefined symbol `setVisited'
/tmp/ccqyDVH2.o:gfind.c:(.text+0x3b8c): undefined reference to `setVisited'
/tmp/ccqyDVH2.o:gfind.c:(.text+0x3b8c): relocation truncated to fit: R_X86_64_PC32 against undefined symbol `setVisited'
/tmp/ccqyDVH2.o:gfind.c:(.text+0x5c08): undefined reference to `pop'
/tmp/ccqyDVH2.o:gfind.c:(.text+0x5c08): relocation truncated to fit: R_X86_64_PC32 against undefined symbol `pop'
/tmp/ccqyDVH2.o:gfind.c:(.text+0x6029): undefined reference to `dequeue'
/tmp/ccqyDVH2.o:gfind.c:(.text+0x6029): relocation truncated to fit: R_X86_64_PC32 against undefined symbol `dequeue'
/tmp/ccqyDVH2.o:gfind.c:(.text+0x6042): undefined reference to `qIsEmpty'
/tmp/ccqyDVH2.o:gfind.c:(.text+0x6042): additional relocation overflows omitted from the output
/tmp/ccqyDVH2.o:gfind.c:(.text+0x62f7): undefined reference to `enqueue'
/tmp/ccqyDVH2.o:gfind.c:(.text+0x635a): undefined reference to `dequeue'
/tmp/ccqyDVH2.o:gfind.c:(.text+0x6363): undefined reference to `enqueue'
collect2: error: ld returned 1 exit status
This post was brought to you by the letter D, for dishes that Andrew J. Wade won't do. (Also Daniel, which happens to be me.)

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Re: Spaceship Discussion Thread

Postby moebius » March 18th, 2016, 10:42 am

Recently I have been headed in new directions in spaceship search program writing.

First though, here are some spaceships I have found interesting:
x = 57, y = 56, rule = B3/S23
$8bo5bo19b2o3bo5bo3b2o$6b4o3b4o15bo3bobobo3bobobo3bo$5b2o3bobo3b2o14bo
3bo4bobo4bo3bo$4bo13bo13b4o2b2obobob2o2b4o$5b2o4bo4b2o23bobo$4b4ob2ob
2ob4o18bo9bo$3bo15bo16bo2bo5bo2bo$2bo3b3obobob3o3bo13bob2o9b2obo$7bo2b
obo2bo18b2o13b2o$2bob3o3bobo3b3obo13b2o13b2o$2bo3b3obobob3o3bo15bo11bo
$5bo2bobobobo2bo16bobo11bobo$3bo6bobo6bo17bo9bo$5bo4bobo4bo16bo2b2o7b
2o2bo$4b2o3b2ob2o3b2o16b2ob2o5b2ob2o$3b2o13b2o16bo3bo3bo3bo$2b3o13b3o
15b3obo3bob3o$3bo15bo15bo2bob2ob2obo2bo$2bo17bo13bo3b2o5b2o3bo$3bo15bo
15bob5ob5obo$3bo15bo16bo2b3ob3o2bo$4b4o7b4o17bo11bo$4b4o7b4o16bobo9bob
o$6bobo5bobo20bo9bo$9bo3bo24b2o5b2o$9bo3bo20b2o3b2o3b2o3b2o$6b3obobob
3o16bo6bo3bo6bo$6b4o3b4o16bo4b2o5b2o4bo$32bo19bo$8b2o3b2o18bo4bob2ob2o
bo4bo$7bo2bobo2bo18b5ob2ob2ob5o$10bobo$10bobo$7b2obobob2o18b3o11b3o$7b
obo3bobo17bo2bo11bo2bo$32bo19bo$31bo21bo$31bo2bo15bo2bo$32bo2bo13bo2bo
$31b2ob3ob3o3b3ob3ob2o$31b2o3bob3o3b3obo3b2o$31b3ob2o3bo3bo3b2ob3o$30b
o5b2o9b2o5bo$34bo15bo$30bo3b8ob8o3bo$31bo6bo2bobo2bo6bo$35bo4b2ob2o4bo
$35b2o11b2o$35bo13bo$37bobo5bobo$37b3o5b3o$36bo3bo3bo3bo$37bobobobobob
o$37b2o2bobo2b2o!


The first of these 2/6 c searches I found interesting because it has two small period 6 parts that are completely unrelated to one another. The second one has just a massive spark.

Here are a couple of fairly small c/5 ships that I have not seen before:

x = 34, y = 73, rule = B3/S23
$5bo20bo$4bo2bo18bo$4bo2bo18bo3bo$3bo4b2o12bobo4b3o$2bo3b4o11b2ob3o$2b
o4bo15b4ob2o$6b2o19b2o$4bo4bo17bo2bo$7b2ob2o17bo$3bo2bo2bo19b3o$3bo5bo
$4b2o20bobo$7bo17b2obo2bo$5bo20bob2obo$24bo$6b2o15bo3bo$7b2o13b2o3bo$
8b2o$7bo13b2o$7b3o$6bo16b2o$4b2o19b2o$5bo$8b2o14bobo$3bo4b2o15b2o$2b2o
6bo16bo$5b3obo17bo$28bo$4bo26bo$5bo23b2obo$2ob2obobo20b2obo$bo6b2o16b
3o$2bo20b2o$2bo4b3o12bobo$2b2o6bo11bo2b2obo$b2o6bo11b2o$3bo17b2o4b2o$
3bo19bo5bo$b2o20b2o2b2o$b2o20bobo$3bo18bo3bo$3bobo21bo$3b5o15bo3bo$3b
2o3bo15b2o$9bo$5bo3bo18b3o$5bo20b2ob2o$4b3o22bo$3bo3b2o17b2o2bo$4bo3b
3o20bo$8b3o12b3o2b2obo$23b3o4bo$23bo2$23b3o$22bo2b2o$22bo4bo$26bobo$
23bo2bobo$22bo4bo2bo$23bob2o$25b2ob3o$28b2o2$24b2o$23b2o2bo$23bo3bo$
27bo$29bo$28bo!


I would like to thank Matthias for his posts on known small spaceships. They are quite helpful in validating my various search programs by showing what the programs should be finding. Also, the tiny period 10 tag on the c/5 ships was really neat.

I have run various searches with negative results:

2c/10 glide symmetric width 13 - no ships found - knight2
2c/10 glide symmetric width 14 - no ships found - knight2

longest partials:

x = 32, y = 44, rule = B3/S23
5bo16bo$5b2o14bob2ob3o$4b2ob2o11bo3bob3o$4bo3bo12b2ob4obo$3bob2obo14bo
3b2o$3bo3bo13b3ob4o$3bob2obo14bobo2bo$3b2ob3o14bo2b3o$5b4o12bo$5bobo
13bo2bo4bo$3bo2b3o15bo3b2o$2bob2o15bo2bo$bo4b3ob2o8bo3bo$bo5b2ob2o12bo
2b2o$7bo16b2ob2o$19bo4b3o$6bobo10bo2b2obo2bo$3b2o3b3o9b3o3bo$2bo2bo4bo
$2bo5b2o12bo3b3o$2bo2bo16b5ob2o$2bo2bo3b3o9bo2b2obo$2bobo2bob2obo8b2ob
2o2b2o$6b3obobo7b2o3b2o$2b2obo3b2o10b2o2bo$2bo2bo3b2obo9b3obo$2b2o5b2o
bo10bo2bo$3bo2b6o14bo$4b3obo13bo5bo$4bo2bo13b2obobo2bo$4b3o2b3o8bobobo
bo3bo$bob6ob2o7b4ob2o2bo$2bo8bo7bob6obo$bobobo2b2ob2o9b2o2bob2o$3bob2o
b2o18bo$2o5bo13bo2b2o2bo$20b2ob3o$20bo2b2o4bo$19b3o5b2o$19bobo2b3o$19b
3o2b3o2bobo$19bo2bo5b2obo$20bo2bo2b3o!


4c/9 odd width 19 - no ships found - knightt - (width 21 is running, nearly done)
4c/9 even width 22 - no ships found - knightt
4c/9 gutter width 21 - no ships found - knightt - (width 23 is next)

longest partial (22 even):

x = 22, y = 40, rule = B3/S23
$6bo8bo$5bobo6bobo$4bo3bo4bo3bo$3bo4bo4bo4bo$3bobobobo2bobobobo$7b3o2b
3o$2b5obob2obob5o$4b3obob2obob3o$7b3o2b3o$8bo4bo2$5b3o6b3o$4bo2b2o4b2o
2bo$3bo2b2obo2bob2o2bo$4bo2b2o4b2o2bo$4bo12bo$8bob2obo$5bo2bob2obo2bo$
5b3o2b2o2b3o$3b2o12b2o$3bo3bo6bo3bo$3b3ob2o4b2ob3o$4bobobob2obobobo$4b
3o8b3o$4bob2o6b2obo$3b2o12b2o$3b2o2bo6bo2b2o$3b2o3b6o3b2o$2b3o12b3o2$
2bob5o4b5obo$b2obob2o6b2obob2o$b2obob2o6b2obob2o$bo5bo6bo5bo$5b2o8b2o$
bo2bo3bo4bo3bo2bo$b2o2bobo6bobo2b2o$2b2ob3ob4ob3ob2o!


c/6 asymmetric width 10 - no ships found - knightt

Someone ran this search before. I would like to check if we got the same longest partial:

x = 12, y = 53, rule = B3/S23
$5bo$4b2o$2b2o$2b2obobo$2b2o4bo$5bo3bo$5bo4bo$5bo3bo2$5b3o$6b2o$7bobo$
6b2o2bo$10bo$5b2o$4bo2bo$3b2o$3b2o$4b3o$4b2obo$5bob2o$3bo3b2o$3bo$4bo
2$2b2o2bo$4bobob2o$5bo2b2o$8b2o2$3bo$b2ob2o2$6bo$4bo$2bobo$2bob2o$2bo
3bo$3bo3bo$6b3o$4bob2o$4bo3bo$5bo2b2o$4b2o3bo$2bob2obobo$bo4bo2bo$6b3o
$bo3bob2o2$2b3o3b3o$2b2o!


I was working on writing the parallel code for "knightcuda" and I realized that I wanted to redevelop the global structure of my search programs. Also, some of the negative results that I got on my 3c/7, 3c/6, and (2,1)c/6 searches led me to believe that an investigation of where the best place to search for new spaceships actually was. As zdr has shown, searching in the right place beats massive computational power and program speed hands down.

I concluded that I wanted to investigate the structure of the trees that define all the ships of a given type. In order to do this I concluded that my search program needed to track every phase of the prospective spaceships. All of my previous search programs have tracked less than every phase.

As a search progresses my various "knight" programs builds a tree of viable prospects. The tree branches and then many branches eventually terminate. "Gfind" works in a nearly identical way. The branches also sometimes reconverge. My previous programs did nothing do handle this. As a result, if excessive branching and reconvergence was occurring, the search tree would blow up. This prevented my programs from handling tagalongs and I suspect seriously impeded searches where the search direction was orthogonal to movement direction.

"Knightt" tracks every phase and checks to see for each prospective addition to the search tree whether it has ever occurred before in the tree. If an addition has occurred previously, a pointer is placed to the previous occurrence and no further work along that branch need occur.

One good consequence of performing this search tree tracking is that I can now find the entire tree (actually a graph) for the class of spaceships that I am searching. "Knightt" prints out the smallest spaceship containing each unique segment in the final search tree. This can be characterized as documenting all possible spaceships of a given type. Any additional spaceships of a given type can be formed by carving up along horizontal cuts (and possibly rephasing and flipping on asymmetric ships) the printed ships.

For example the complete base collection of c/4 width 13 odd symmetric ships is:

x = 319, y = 140, rule = B3/S23
2$6bo3bo15bo3bo15bo3bo15bo3bo15bo3bo15bo3bo15bo3bo15bo3bo15bo3bo15bo3b
o15bo3bo15bo3bo15bo3bo15bo3bo15bo3bo15bo3bo$6bo3bo15bo3bo15bo3bo15bo3b
o15bo3bo15bo3bo15bo3bo15bo3bo15bo3bo15bo3bo15bo3bo15bo3bo15bo3bo15bo3b
o15bo3bo15bo3bo$5bobobobo13bobobobo13bobobobo13bobobobo13bobobobo13bob
obobo13bobobobo13bobobobo13bobobobo13bobobobo13bobobobo13bobobobo13bob
obobo13bobobobo13bobobobo13bobobobo2$5bobobobo13bobobobo13bobobobo13bo
bobobo13bobobobo13bobobobo13bobobobo13bobobobo13bobobobo13bobobobo13bo
bobobo13bobobobo13bobobobo13bobobobo13bobobobo13bobobobo$7bobo17bobo
17bobo17bobo17bobo17bobo17bobo17bobo17bobo17bobo17bobo17bobo17bobo17bo
bo17bobo17bobo$4bobo3bobo11bobo3bobo11bobo3bobo11bobo3bobo11bobo3bobo
11bobo3bobo11bobo3bobo11bobo3bobo11bobo3bobo11bobo3bobo11bobo3bobo11bo
bo3bobo11bobo3bobo11bobo3bobo11bobo3bobo11bobo3bobo$4bobo3bobo11bobo3b
obo11bobo3bobo11bobo3bobo11bobo3bobo11bobo3bobo11bobo3bobo11bobo3bobo
11bobo3bobo11bobo3bobo11bobo3bobo11bobo3bobo11bobo3bobo11bobo3bobo11bo
bo3bobo11bobo3bobo$4bo2b3o2bo11bo2b3o2bo11bo2b3o2bo11bo2b3o2bo11bo2b3o
2bo11bo2b3o2bo11bo2b3o2bo11bo2b3o2bo11bo2b3o2bo11bo2b3o2bo11bo2b3o2bo
11bo2b3o2bo11bo2b3o2bo11bo2b3o2bo11bo2b3o2bo11bo2b3o2bo2$3b2o7b2o9b2o
7b2o9b2o7b2o9b2o7b2o9b2o7b2o9b2o7b2o9b2o7b2o9b2o7b2o9b2o7b2o9b2o7b2o9b
2o7b2o9b2o7b2o9b2o7b2o9b2o7b2o9b2o7b2o9b2o7b2o$3bo9bo9bo9bo9bo9bo9bo9b
o9bo9bo9bo9bo9bo9bo9bo9bo9bo9bo9bo9bo9bo9bo9bo9bo9bo9bo9bo9bo9bo9bo9bo
9bo$4bo7bo11bo7bo11bo7bo11bo7bo11bo7bo11bo7bo11bo7bo11bo7bo11bo7bo11bo
7bo11bo7bo11bo7bo11bo7bo11bo7bo11bo7bo11bo7bo$3b2ob5ob2o9b2ob5ob2o9b2o
b5ob2o9b2ob5ob2o9b2ob5ob2o9b2ob5ob2o9b2ob5ob2o9b2ob5ob2o9b2ob5ob2o9b2o
b5ob2o9b2ob5ob2o9b2ob5ob2o9b2ob5ob2o9b2ob5ob2o9b2ob5ob2o9b2ob5ob2o$4bo
2bobo2bo11bo2bobo2bo11bo2bobo2bo11bo2bobo2bo11bo2bobo2bo11bo2bobo2bo
11bo2bobo2bo11bo2bobo2bo11bo2bobo2bo11bo2bobo2bo11bo2bobo2bo11bo2bobo
2bo11bo2bobo2bo11bo2bobo2bo11bo2bobo2bo11bo2bobo2bo$5bobobobo13bobobob
o13bobobobo13bobobobo13bobobobo13bobobobo13bobobobo13bobobobo13bobobob
o13bobobobo13bobobobo13bobobobo13bobobobo13bobobobo13bobobobo13bobobob
o2$6b2ob2o15b2ob2o15b2ob2o15b2ob2o15b2ob2o15b2ob2o15b2ob2o15b2ob2o15b
2ob2o15b2ob2o15b2ob2o15b2ob2o15b2ob2o15b2ob2o15b2ob2o15b2ob2o$6bo3bo
15bo3bo15bo3bo15bo3bo15bo3bo15bo3bo15bo3bo15bo3bo15bo3bo15bo3bo15bo3bo
15bo3bo15bo3bo15bo3bo15bo3bo15bo3bo$5b2o3b2o13b2o3b2o13b2o3b2o13b2o3b
2o13b2o3b2o13b2o3b2o13b2o3b2o13b2o3b2o13b2o3b2o13b2o3b2o13b2o3b2o13b2o
3b2o13b2o3b2o13b2o3b2o13b2o3b2o13b2o3b2o$5b2o3b2o13b2o3b2o13b2o3b2o13b
2o3b2o13b2o3b2o13b2o3b2o13b2o3b2o13b2o3b2o13b2o3b2o13b2o3b2o13b2o3b2o
13b2o3b2o13b2o3b2o13b2o3b2o13b2o3b2o13b2o3b2o2$25b2o3b2o13b2o3b2o13b2o
3b2o13b2o3b2o13b2o3b2o13b2o3b2o13b2o3b2o13b2o3b2o13b2o3b2o13b2o3b2o13b
2o3b2o13b2o3b2o13b2o3b2o13b2o3b2o13b2o3b2o$24bo2bobo2bo11bo2bobo2bo11b
o2bobo2bo11bo2bobo2bo13bo3bo13bo2bobo2bo11bo2bobo2bo11bo2bobo2bo11bo2b
obo2bo11bo2bobo2bo11bo2bobo2bo11bo2bobo2bo11bo2bobo2bo11bo2bobo2bo11bo
2bobo2bo$27bobo13bo2bo3bo2bo11bobobobo13bobobobo35bobo17bobo15bobobobo
15bobo17bobo17bobo17bobo17bobo15bobobobo15bobo$24bo2bobo2bo13bo3bo16bo
bo17bobo12b3o7b3o9bo2bobo2bo11bo2bobo2bo14bobo14bo2bobo2bo11bo2bobo2bo
11bo2bobo2bo11bo2bobo2bo11bo2bobo2bo14bobo14bo2bobo2bo$23b2ob2ob2ob2o
8bo3bo3bo3bo11b2ob2o15b2ob2o14bo5bo11b2ob2ob2ob2o9b2ob2ob2ob2o12b2ob2o
12b2ob2ob2ob2o9b2ob2ob2ob2o9b2ob2ob2ob2o9b2ob2ob2ob2o9b2ob2ob2ob2o12b
2ob2o12b2ob2ob2ob2o$23b4obob4o8bo2bo5bo2bo12bobo17bobo16bo3bo12b4obob
4o9b4obob4o13bobo13b4obob4o9b4obob4o9b4obob4o9b4obob4o9b4obob4o10bo2bo
bo2bo10b4obob4o$27b3o15bo5bo12b2obobob2o11b2o5b2o12bo5bo15b3o17b3o14b
2obobob2o14b3o17b3o17b3o17b3o17b3o14bo2bobo2bo14b3o$28bo13b2o9b2o8bo3b
obo3bo10b3o3b3o10bobo5bobo14bo19bo14bo3bobo3bo14bo19bo19bo19bo19bo15b
2obobob2o15bo$67bobo13b2o7b2o14bo13b2o9b2o32bobo114b2obobob2o$42b2o9b
2o12bobo13b3o5b3o12bobobo11b3o7b3o32bobo14bo7bo11bo7bo31bo7bo12b2o3b2o
11b3obobob3o11b2o3b2o$43bo9bo10b2obobob2o10bo9bo11bo2bo2bo12b2o5b2o12b
o5bo12b2obobob2o11bo2bobo2bo11bo2bobo2bo14bobo14bo2bobo2bo12b3ob3o15bo
bo16b2ob2o$64b2obobob2o9b2obo5bob2o8b2obo3bob2o10bobo3bobo11b2o5b2o11b
2obobob2o10bob2o3b2obo9bob2o3b2obo14bo14bob2o3b2obo29b2obo3bob2o11bobo
bobo$43b2o7b2o12b2ob2o12bo9bo8bo11bo11bo3bo12b2obo3bob2o12b2ob2o12bobo
bobobobo9bobobobobobo13bobo13bobobobobobo9b3obobob3o8bobobo3bobobo9b2o
bobob2o$66bo3bo11b2o9b2o7b4o5b4o10b2o3b2o11b3o5b3o12bo3bo16bobo16b2ob
2o16bobo17bobo13b2o2bobo2b2o8bobo7bobo9b2obobob2o$67bobo34b3o3b3o13bo
3bo12b3o5b3o13bobo16b2ob2o16bobo17bobo16b2ob2o12bo9bo9b3obobob3o12bo3b
o$66bo3bo13bo7bo13b2ob2o13b2obobob2o10bo9bo12bo3bo14bobobobo15bobo15bo
bobobo15bobo35b3ob3o$83bo9bo29bo9bo8b2obo5bob2o29bo2bobo2bo12bobobobo
13b2o3b2o12b2o5b2o10bob2o3b2obo12bo3bo11b3o7b3o$83bo9bo12b2ob2o11bo4bo
bo4bo8bo9bo12b2ob2o13bo2bobo2bo11b2obobob2o12bo5bo12b3o3b3o14bobo17bob
o15bo5bo$126bo3bo11b2o9b2o11b2ob2o15b2ob2o14bobobobo13b2o3b2o11b2o7b2o
13bobo17bobo16bo3bo$108bo13b3o7b3o32b3o17bobo16b2ob2o14b2o3b2o11b3o5b
3o10b2obobob2o12bobobobo13bo5bo$108bo35bo7bo31b2obobob2o12bobobobo10b
3o7b3o8bo9bo9b2o7b2o11b2o3b2o11bobo5bobo$143bo9bo13b3o14bo2bobo2bo11b
2obobob2o29b2obo5bob2o8b5ob5o11bo5bo16bo$143bo9bo33bobo14b2obobob2o30b
o9bo10bob2ob2obo12b2o3b2o14bobobo$186bo3bo15b2ob2o11b2o9b2o7b2o9b2o12b
obo15b2o3b2o13bo2bo2bo$186b2ob2o15bo3bo11b2o9b2o29bo2bobo2bo9b3o7b3o8b
2obo3bob2o$206b2ob2o12b2o7b2o10bo7bo10b2o2bobo2b2o28bo11bo$243bo9bo12b
2ob2o31b4o5b4o$243bo9bo12b2ob2o11b2o9b2o9b3o3b3o$282b2o9b2o11b2ob2o$
283b2o7b2o$306b2ob2o2$308bo$308bo10$6bo3bo15bo3bo15bo3bo15bo3bo15bo3bo
$6bo3bo15bo3bo15bo3bo15bo3bo15bo3bo$5bobobobo13bobobobo13bobobobo13bob
obobo13bobobobo2$5bobobobo13bobobobo13bobobobo13bobobobo13bobobobo$7bo
bo17bobo17bobo17bobo17bobo$4bobo3bobo11bobo3bobo11bobo3bobo11bobo3bobo
11bobo3bobo$4bobo3bobo11bobo3bobo11bobo3bobo11bobo3bobo11bobo3bobo$4bo
2b3o2bo11bo2b3o2bo11bo2b3o2bo11bo2b3o2bo11bo2b3o2bo2$3b2o7b2o9b2o7b2o
9b2o7b2o9b2o7b2o9b2o7b2o$3bo9bo9bo9bo9bo9bo9bo9bo9bo9bo$4bo7bo11bo7bo
11bo7bo11bo7bo11bo7bo$3b2ob5ob2o9b2ob5ob2o9b2ob5ob2o9b2ob5ob2o9b2ob5ob
2o$4bo2bobo2bo11bo2bobo2bo11bo2bobo2bo11bo2bobo2bo11bo2bobo2bo$5bobobo
bo13bobobobo13bobobobo13bobobobo13bobobobo2$6b2ob2o15b2ob2o15b2ob2o15b
2ob2o15b2ob2o$6bo3bo15bo3bo15bo3bo15bo3bo15bo3bo$5b2o3b2o13b2o3b2o13b
2o3b2o13b2o3b2o13b2o3b2o$5b2o3b2o13b2o3b2o13b2o3b2o13b2o3b2o13b2o3b2o
2$5b2o3b2o13b2o3b2o13b2o3b2o13b2o3b2o13b2o3b2o$4bo2bobo2bo11bo2bobo2bo
11bo2bobo2bo11bo2bobo2bo11bo2bobo2bo$7bobo17bobo15bobobobo15bobo17bobo
$4bo2bobo2bo11bo2bobo2bo14bobo14bo2bobo2bo11bo2bobo2bo$3b2ob2ob2ob2o9b
2ob2ob2ob2o11b3ob3o11b2ob2ob2ob2o9b2ob2ob2ob2o$3b4obob4o9b4obob4o11b2o
3b2o11b4obob4o9b4obob4o$7b3o17b3o15b2o3b2o15b3o17b3o$8bo19bo17bo3bo17b
o19bo$2b2o9b2o7b2o9b2o11b2ob2o11b2o9b2o10bo5bo$2b3o7b3o7b3o7b3o10bo5bo
10b3o7b3o10bo5bo$4b2o5b2o11b2o5b2o14bobo14b2o5b2o13b5o$4bobo3bobo11bob
o3bobo13bobobo13bobo3bobo$6bo3bo15bo3bo15bobobo15bo3bo15b2ob2o$5b2o3b
2o13b2o3b2o13bo5bo13b2o3b2o13bo5bo$8bo17bo3bo37bo$4bob5obo11b2obobob2o
31bob5obo11b2obobob2o$6b5o12bo9bo12b5o15b5o12bob2o3b2obo$3b2o7b2o8bo4b
obo4bo10bobobobo11b2o7b2o9b2o7b2o$3bo9bo12bo3bo14b2o3b2o11bo9bo9b2o7b
2o$8bo13b3o7b3o9b2o5b2o15bo15bobo3bobo$2b2o4bo4b2o31bo3bo11b2o4bo4b2o
9b4ob4o$8bo14b2o7b2o9bo9bo14bo15bo2bobo2bo$26bo3bo13bobo3bobo$4b9o11bo
bo3bobo13b2ob2o13b9o9b3o7b3o$3bo9bo13bobo15bobobobo11bo9bo$6b2ob2o14bo
bobobo12b2obobob2o13b2ob2o14b2o3b2o$3bobo2bo2bobo11b2o3b2o12b2obobob2o
10bobo2bo2bobo12b2ob2o$4b2o5b2o10bo9bo12bo3bo13b2o5b2o9b2obobobobob2o$
5b3ob3o11b2o7b2o31b3ob3o13bobobobo$5bobobobo11b3o5b3o8b3o7b3o8b2o2bobo
2b2o8b2obobobobob2o$4b2obobob2o12b2o3b2o13bo5bo11b3obobob3o8b2obobobob
ob2o$7bobo14b3o3b3o13bo3bo12bobobobobobo10b2obobob2o$4bo2bobo2bo11bo7b
o12bo5bo12b2obobob2o11bo2bobo2bo$7bobo17bobo13bobo5bobo13bobo15bobobob
o$5bo5bo16bo19bo18bobo14bo2bobo2bo$6b2ob2o13b3o3b3o13bobobo15b2ob2o16b
obo$23b3o5b3o11bo2bo2bo13bobobobo14b2ob2o$22bo11bo8b2obo3bob2o10bo7bo
14bobo$22bo3bo3bo3bo7bo11bo11bo3bo14bobobobo$27bobo12b4o5b4o11bo3bo13b
2o5b2o$26b2ob2o13b3o3b3o9bo2bo5bo2bo9bo7bo$46b2ob2o14bo5bo12bo7bo$62b
2o9b2o8bo2bo3bo2bo$27b3o16b2ob2o32b3o5b3o$62b2o9b2o8bo9bo$48bo14bo9bo$
48bo33b2o9b2o$63b2o7b2o$82b3o7b3o!


I had previously using a variety of tricks (and the deletion of huge numbers of flotillas) found the following collection of all c/4 width 13 odd symmetric ships:

x = 317, y = 159, rule = B3/S23
5$4bo3bo15bo3bo15bo3bo15bo3bo15bo3bo15bo3bo15bo3bo15bo3bo15bo3bo15bo3b
o15bo3bo$4bo3bo15bo3bo15bo3bo15bo3bo15bo3bo15bo3bo15bo3bo15bo3bo15bo3b
o15bo3bo15bo3bo$3bobobobo13bobobobo13bobobobo13bobobobo13bobobobo13bob
obobo13bobobobo13bobobobo13bobobobo13bobobobo13bobobobo2$3bobobobo13bo
bobobo13bobobobo13bobobobo13bobobobo13bobobobo13bobobobo13bobobobo13bo
bobobo13bobobobo13bobobobo$5bobo17bobo17bobo17bobo17bobo17bobo17bobo
17bobo17bobo17bobo17bobo$2bobo3bobo11bobo3bobo11bobo3bobo11bobo3bobo
11bobo3bobo11bobo3bobo11bobo3bobo11bobo3bobo11bobo3bobo11bobo3bobo11bo
bo3bobo$2bobo3bobo11bobo3bobo11bobo3bobo11bobo3bobo11bobo3bobo11bobo3b
obo11bobo3bobo11bobo3bobo11bobo3bobo11bobo3bobo11bobo3bobo$2bo2b3o2bo
11bo2b3o2bo11bo2b3o2bo11bo2b3o2bo11bo2b3o2bo11bo2b3o2bo11bo2b3o2bo11bo
2b3o2bo11bo2b3o2bo11bo2b3o2bo11bo2b3o2bo2$b2o7b2o9b2o7b2o9b2o7b2o9b2o
7b2o9b2o7b2o9b2o7b2o9b2o7b2o9b2o7b2o9b2o7b2o9b2o7b2o9b2o7b2o$bo9bo9bo
9bo9bo9bo9bo9bo9bo9bo9bo9bo9bo9bo9bo9bo9bo9bo9bo9bo9bo9bo$2bo7bo11bo7b
o11bo7bo11bo7bo11bo7bo11bo7bo11bo7bo11bo7bo11bo7bo11bo7bo11bo7bo$b2ob
5ob2o9b2ob5ob2o9b2ob5ob2o9b2ob5ob2o9b2ob5ob2o9b2ob5ob2o9b2ob5ob2o9b2ob
5ob2o9b2ob5ob2o9b2ob5ob2o9b2ob5ob2o$2bo2bobo2bo11bo2bobo2bo11bo2bobo2b
o11bo2bobo2bo11bo2bobo2bo11bo2bobo2bo11bo2bobo2bo11bo2bobo2bo11bo2bobo
2bo11bo2bobo2bo11bo2bobo2bo$3bobobobo13bobobobo13bobobobo13bobobobo13b
obobobo13bobobobo13bobobobo13bobobobo13bobobobo13bobobobo13bobobobo2$
4b2ob2o15b2ob2o15b2ob2o15b2ob2o15b2ob2o15b2ob2o15b2ob2o15b2ob2o15b2ob
2o15b2ob2o15b2ob2o$4bo3bo15bo3bo15bo3bo15bo3bo15bo3bo15bo3bo15bo3bo15b
o3bo15bo3bo15bo3bo15bo3bo$3b2o3b2o13b2o3b2o13b2o3b2o13b2o3b2o13b2o3b2o
13b2o3b2o13b2o3b2o13b2o3b2o13b2o3b2o13b2o3b2o13b2o3b2o$3b2o3b2o13b2o3b
2o13b2o3b2o13b2o3b2o13b2o3b2o13b2o3b2o13b2o3b2o13b2o3b2o13b2o3b2o13b2o
3b2o13b2o3b2o2$3b2o3b2o13b2o3b2o13b2o3b2o13b2o3b2o13b2o3b2o13b2o3b2o
13b2o3b2o13b2o3b2o13b2o3b2o13b2o3b2o13b2o3b2o$2bo2bobo2bo11bo2bobo2bo
11bo2bobo2bo11bo2bobo2bo11bo2bobo2bo11bo2bobo2bo11bo2bobo2bo11bo2bobo
2bo11bo2bobo2bo11bo2bobo2bo11bo2bobo2bo$5bobo17bobo17bobo17bobo17bobo
15bobobobo13bobobobo13bobobobo13bobobobo13bobobobo11bo2bo3bo2bo$2bo2bo
bo2bo11bo2bobo2bo11bo2bobo2bo11bo2bobo2bo11bo2bobo2bo14bobo17bobo17bob
o17bobo17bobo16bo3bo$b2ob2ob2ob2o9b2ob2ob2ob2o9b2ob2ob2ob2o9b2ob2ob2ob
2o9b2ob2ob2ob2o11b3ob3o14b2ob2o15b2ob2o15b2ob2o15b2ob2o11bo3bo3bo3bo$b
4obob4o9b4obob4o9b4obob4o9b4obob4o9b4obob4o11b2o3b2o15bobo17bobo17bobo
14bo2bobo2bo9bo2bo5bo2bo$5b3o17b3o17b3o17b3o17b3o15b2o3b2o12b2o5b2o11b
2obobob2o11b2obobob2o11bo2bobo2bo12bo5bo$6bo19bo19bo19bo19bo17bo3bo13b
3o3b3o10bo3bobo3bo9bo3bobo3bo10b2obobob2o9b2o9b2o$2o9b2o7b2o9b2o7b2o9b
2o7b2o9b2o7b2o9b2o11b2ob2o12b2o7b2o13bobo17bobo14b2obobob2o$3o7b3o7b3o
7b3o7b3o7b3o7b3o7b3o7b3o7b3o10bo5bo11b3o5b3o13bobo17bobo13b3obobob3o8b
2o9b2o$2b2o5b2o11b2o5b2o11b2o5b2o11b2o5b2o11b2o5b2o14bobo13bo9bo10b2ob
obob2o11b2obobob2o14bobo13bo9bo$2bobo3bobo11bobo3bobo11bobo3bobo11bobo
3bobo11bobo3bobo13bobobo11b2obo5bob2o9b2obobob2o11b2obobob2o10b2obo3bo
b2o$4bo3bo15bo3bo15bo3bo15bo3bo15bo3bo15bobobo12bo9bo12b2ob2o15b2ob2o
11bobobo3bobobo8b2o7b2o$3b2o3b2o13b2o3b2o13b2o3b2o13b2o3b2o13b2o3b2o
13bo5bo10b2o9b2o11bo3bo15bo3bo11bobo7bobo$6bo19bo19bo17bo3bo15bo3bo56b
obo17bobo13b3obobob3o$2bob5obo11bob5obo11bob5obo11b2obobob2o11b2obobob
2o31bo7bo13bo3bo15bo3bo14b3ob3o$4b5o15b5o15b5o12bo9bo9bo9bo12b5o12bo9b
o52bo3bo$b2o7b2o9b2o7b2o9b2o7b2o8bo4bobo4bo7bo4bobo4bo10bobobobo11bo9b
o32b2ob2o16bobo$bo9bo9bo9bo9bo9bo12bo3bo15bo3bo14b2o3b2o54b2ob2o16bobo
$6bo19bo19bo13b3o7b3o7b3o7b3o9b2o5b2o54b3o15bobobobo$2o4bo4b2o7b2o4bo
4b2o7b2o4bo4b2o51bo3bo74b2o3b2o$6bo19bo19bo34b2o7b2o9bo9bo53b3o15bo5bo
$84bo3bo13bobo3bobo72b2o3b2o$2b9o11b9o11b9o31bobo3bobo13b2ob2o74b2o3b
2o$bo9bo9bo9bo9bo9bo33bobo15bobobobo70b3o7b3o$4b2ob2o15b2ob2o15b2ob2o
34bobobobo12b2obobob2o$bobo2bo2bobo9bobo2bo2bobo9bobo2bo2bobo31b2o3b2o
12b2obobob2o$2b2o5b2o11b2o5b2o11b2o5b2o30bo9bo12bo3bo71b2o9b2o$3b3ob3o
13b3ob3o13b3ob3o31b2o7b2o88b2o9b2o$3bobobobo13bobobobo11b2o2bobo2b2o
29b3o5b3o8b3o7b3o68b2o7b2o$2b2obobob2o11b2obobob2o10b3obobob3o31b2o3b
2o13bo5bo$5bobo17bobo13bobobobobobo30b3o3b3o13bo3bo$2bo2bobo2bo11bo2bo
bo2bo11b2obobob2o31bo7bo12bo5bo$5bobo17bobo17bobo37bobo13bobo5bobo$3bo
5bo13bo5bo15bobo38bo19bo$4b2ob2o15b2ob2o15b2ob2o33b3o3b3o13bobobo$43bo
bobobo31b3o5b3o11bo2bo2bo$24b2ob2o13bo7bo29bo11bo8b2obo3bob2o$24b2ob2o
15bo3bo31bo3bo3bo3bo7bo11bo$44bo3bo36bobo12b4o5b4o$26bo13bo2bo5bo2bo
31b2ob2o13b3o3b3o$26bo16bo5bo54b2ob2o$26bo13b2o9b2o$85b3o16b2ob2o$40b
2o9b2o$41bo9bo54bo$106bo$41b2o7b2o11$4bo3bo15bo3bo15bo3bo15bo3bo15bo3b
o15bo3bo15bo3bo15bo3bo15bo3bo15bo3bo15bo3bo15bo3bo15bo3bo15bo3bo15bo3b
o15bo3bo$4bo3bo15bo3bo15bo3bo15bo3bo15bo3bo15bo3bo15bo3bo15bo3bo15bo3b
o15bo3bo15bo3bo15bo3bo15bo3bo15bo3bo15bo3bo15bo3bo$3bobobobo13bobobobo
13bobobobo13bobobobo13bobobobo13bobobobo13bobobobo13bobobobo13bobobobo
13bobobobo13bobobobo13bobobobo13bobobobo13bobobobo13bobobobo13bobobobo
2$3bobobobo13bobobobo13bobobobo13bobobobo13bobobobo13bobobobo13bobobob
o13bobobobo13bobobobo13bobobobo13bobobobo13bobobobo13bobobobo13bobobob
o13bobobobo13bobobobo$5bobo17bobo17bobo17bobo17bobo17bobo17bobo17bobo
17bobo17bobo17bobo17bobo17bobo17bobo17bobo17bobo$2bobo3bobo11bobo3bobo
11bobo3bobo11bobo3bobo11bobo3bobo11bobo3bobo11bobo3bobo11bobo3bobo11bo
bo3bobo11bobo3bobo11bobo3bobo11bobo3bobo11bobo3bobo11bobo3bobo11bobo3b
obo11bobo3bobo$2bobo3bobo11bobo3bobo11bobo3bobo11bobo3bobo11bobo3bobo
11bobo3bobo11bobo3bobo11bobo3bobo11bobo3bobo11bobo3bobo11bobo3bobo11bo
bo3bobo11bobo3bobo11bobo3bobo11bobo3bobo11bobo3bobo$2bo2b3o2bo11bo2b3o
2bo11bo2b3o2bo11bo2b3o2bo11bo2b3o2bo11bo2b3o2bo11bo2b3o2bo11bo2b3o2bo
11bo2b3o2bo11bo2b3o2bo11bo2b3o2bo11bo2b3o2bo11bo2b3o2bo11bo2b3o2bo11bo
2b3o2bo11bo2b3o2bo2$b2o7b2o9b2o7b2o9b2o7b2o9b2o7b2o9b2o7b2o9b2o7b2o9b
2o7b2o9b2o7b2o9b2o7b2o9b2o7b2o9b2o7b2o9b2o7b2o9b2o7b2o9b2o7b2o9b2o7b2o
9b2o7b2o$bo9bo9bo9bo9bo9bo9bo9bo9bo9bo9bo9bo9bo9bo9bo9bo9bo9bo9bo9bo9b
o9bo9bo9bo9bo9bo9bo9bo9bo9bo9bo9bo$2bo7bo11bo7bo11bo7bo11bo7bo11bo7bo
11bo7bo11bo7bo11bo7bo11bo7bo11bo7bo11bo7bo11bo7bo11bo7bo11bo7bo11bo7bo
11bo7bo$b2ob5ob2o9b2ob5ob2o9b2ob5ob2o9b2ob5ob2o9b2ob5ob2o9b2ob5ob2o9b
2ob5ob2o9b2ob5ob2o9b2ob5ob2o9b2ob5ob2o9b2ob5ob2o9b2ob5ob2o9b2ob5ob2o9b
2ob5ob2o9b2ob5ob2o9b2ob5ob2o$2bo2bobo2bo11bo2bobo2bo11bo2bobo2bo11bo2b
obo2bo11bo2bobo2bo11bo2bobo2bo11bo2bobo2bo11bo2bobo2bo11bo2bobo2bo11bo
2bobo2bo11bo2bobo2bo11bo2bobo2bo11bo2bobo2bo11bo2bobo2bo11bo2bobo2bo
11bo2bobo2bo$3bobobobo13bobobobo13bobobobo13bobobobo13bobobobo13bobobo
bo13bobobobo13bobobobo13bobobobo13bobobobo13bobobobo13bobobobo13bobobo
bo13bobobobo13bobobobo13bobobobo2$4b2ob2o15b2ob2o15b2ob2o15b2ob2o15b2o
b2o15b2ob2o15b2ob2o15b2ob2o15b2ob2o15b2ob2o15b2ob2o15b2ob2o15b2ob2o15b
2ob2o15b2ob2o15b2ob2o$4bo3bo15bo3bo15bo3bo15bo3bo15bo3bo15bo3bo15bo3bo
15bo3bo15bo3bo15bo3bo15bo3bo15bo3bo15bo3bo15bo3bo15bo3bo15bo3bo$3b2o3b
2o13b2o3b2o13b2o3b2o13b2o3b2o13b2o3b2o13b2o3b2o13b2o3b2o13b2o3b2o13b2o
3b2o13b2o3b2o13b2o3b2o13b2o3b2o13b2o3b2o13b2o3b2o13b2o3b2o13b2o3b2o$3b
2o3b2o13b2o3b2o13b2o3b2o13b2o3b2o13b2o3b2o13b2o3b2o13b2o3b2o13b2o3b2o
13b2o3b2o13b2o3b2o13b2o3b2o13b2o3b2o13b2o3b2o13b2o3b2o13b2o3b2o13b2o3b
2o2$23b2o3b2o13b2o3b2o13b2o3b2o13b2o3b2o13b2o3b2o13b2o3b2o13b2o3b2o13b
2o3b2o13b2o3b2o13b2o3b2o13b2o3b2o13b2o3b2o13b2o3b2o13b2o3b2o13b2o3b2o$
24bo3bo13bo2bobo2bo11bo2bobo2bo11bo2bobo2bo11bo2bobo2bo11bo2bobo2bo11b
o2bobo2bo11bo2bobo2bo11bo2bobo2bo11bo2bobo2bo11bo2bobo2bo11bo2bobo2bo
11bo2bobo2bo11bo2bobo2bo11bo2bobo2bo$45bobo17bobo17bobo17bobo17bobo17b
obo17bobo17bobo17bobo17bobo17bobo17bobo17bobo17bobo$20b3o7b3o9bo2bobo
2bo11bo2bobo2bo11bo2bobo2bo11bo2bobo2bo11bo2bobo2bo11bo2bobo2bo11bo2bo
bo2bo11bo2bobo2bo11bo2bobo2bo11bo2bobo2bo11bo2bobo2bo11bo2bobo2bo11bo
2bobo2bo11bo2bobo2bo$23bo5bo11b2ob2ob2ob2o9b2ob2ob2ob2o9b2ob2ob2ob2o9b
2ob2ob2ob2o9b2ob2ob2ob2o9b2ob2ob2ob2o9b2ob2ob2ob2o9b2ob2ob2ob2o9b2ob2o
b2ob2o9b2ob2ob2ob2o9b2ob2ob2ob2o9b2ob2ob2ob2o9b2ob2ob2ob2o9b2ob2ob2ob
2o$24bo3bo12b4obob4o9b4obob4o9b4obob4o9b4obob4o9b4obob4o9b4obob4o9b4ob
ob4o9b4obob4o9b4obob4o9b4obob4o9b4obob4o9b4obob4o9b4obob4o9b4obob4o$
23bo5bo15b3o17b3o17b3o17b3o17b3o17b3o17b3o17b3o17b3o17b3o17b3o17b3o17b
3o17b3o$21bobo5bobo14bo19bo19bo19bo19bo19bo19bo19bo19bo19bo19bo19bo19b
o19bo$26bo276bo5bo$24bobobo14b2o3b2o72bo7bo11bo7bo11bo7bo11bo7bo11bo7b
o11bo7bo11bo7bo11bo7bo12b2o3b2o13bo5bo$23bo2bo2bo14b2ob2o36bobo15bo5bo
12bo2bobo2bo11bo2bobo2bo11bo2bobo2bo11bo2bobo2bo11bo2bobo2bo11bo2bobo
2bo11bo2bobo2bo11bo2bobo2bo12b3ob3o14b5o$21b2obo3bob2o11bobobobo36bo
15b2o5b2o10bob2o3b2obo9bob2o3b2obo9bob2o3b2obo9bob2o3b2obo9bob2o3b2obo
9bob2o3b2obo9bob2o3b2obo9bob2o3b2obo$20bo11bo9b2obobob2o34bobo13b2obo
3bob2o9bobobobobobo9bobobobobobo9bobobobobobo9bobobobobobo9bobobobobob
o9bobobobobobo9bobobobobobo9bobobobobobo9b3obobob3o12b2ob2o$20b4o5b4o
9b2obobob2o34bobo13b3o5b3o13bobo17bobo17bobo17bobo16b2ob2o15b2ob2o15b
2ob2o15b2ob2o12b2o2bobo2b2o11bo5bo$22b3o3b3o13bo3bo36bobo13b3o5b3o12b
2ob2o15b2ob2o15b2ob2o15b2ob2o16bobo17bobo17bobo17bobo13bo9bo$24b2ob2o
54bobobobo11bo9bo13bobo15bobobobo13bobobobo13bobobobo15bobo17bobo17bob
o17bobo34b2obobob2o$40b3o7b3o30b2o3b2o10b2obo5bob2o9b2o5b2o11bo7bo11bo
2bobo2bo11bo2bobo2bo12bobobobo13bobobobo13bobobobo12b2obobob2o10bob2o
3b2obo9bob2o3b2obo$24b2ob2o14bo5bo33bo5bo11bo9bo10b3o3b3o13bo3bo13bo2b
obo2bo11bo2bobo2bo12b2o3b2o12b2obobob2o11b2obobob2o10b2o2bobo2b2o13bob
o13b2o7b2o$44bo3bo34b2o3b2o10b2o9b2o8b2o7b2o12bo3bo15b2ob2o15b2ob2o14b
o5bo13bobobobo13bobobobo11b2ob2ob2ob2o13bobo13b2o7b2o$26bo16bo5bo33b2o
3b2o31b3o5b3o8bo2bo5bo2bo12bobo17bobo15b2o3b2o14b2ob2o15b2ob2o13bo2bob
o2bo11b2obobob2o11bobo3bobo$26bo14bobo5bobo28b3o7b3o9bo7bo10bo9bo11bo
5bo12b2obobob2o11b2obobob2o12b2o3b2o13bobobobo13bobobobo15bobo13b2o7b
2o10b4ob4o$46bo54bo9bo8b2obo5bob2o7b2o9b2o9bo2bobo2bo11bo2bobo2bo9b3o
7b3o9b2obobob2o11b2obobob2o10bobobobobobo9b5ob5o10bo2bobo2bo$44bobobo
52bo9bo9bo9bo33bobo17bobo34b2obobob2o11b2obobob2o10b5ob5o10bob2ob2obo$
43bo2bo2bo30b2o9b2o27b2o9b2o7b2o9b2o11bo3bo15bo3bo35b2ob2o15b2ob2o11bo
bob2ob2obobo12bobo12b3o7b3o$41b2obo3bob2o28b2o9b2o48bo9bo12b2ob2o15b2o
b2o11b2o9b2o11bo3bo15bo3bo11bo11bo9bo2bobo2bo$40bo11bo28b2o7b2o30bo7bo
69b2o9b2o11b2ob2o15b2ob2o15b2ob2o12b2o2bobo2b2o11b2o3b2o$40b4o5b4o68bo
9bo9b2o7b2o32b2ob2o12b2o7b2o52bo3bo15b2ob2o15b2ob2o$42b3o3b3o70bo9bo
52b2ob2o55b2ob2o16bobo16b2ob2o11b2obobobobob2o$44b2ob2o195b2ob2o15b2ob
2o34bobobobo$184b2ob2o76bobo32b2obobobobob2o$44b2ob2o213b2o5b2o29b2obo
bobobob2o$186bo58b3o14b3o3b3o31b2obobob2o$46bo139bo74b2o7b2o30bo2bobo
2bo$46bo214b3o5b3o31bobobobo$261bo9bo30bo2bobo2bo$260b2obo5bob2o32bobo
$261bo9bo32b2ob2o$260b2o9b2o32bobo$303bobobobo$262bo7bo31b2o5b2o$261bo
9bo30bo7bo$261bo9bo30bo7bo$301bo2bo3bo2bo$301b3o5b3o$301bo9bo2$300b2o
9b2o2$300b3o7b3o!


The additional ships in the second collection can be reassembled from pieces of ships in the first collection.

Here is the complete base collection of c/5 width 18 even symmetric ships. Notice that there are several opportunities for carving and reassembling into repeating parts:

x = 286, y = 196, rule = B3/S23
2$9b2o22b2o22b2o22b2o22b2o22b2o22b2o22b2o22b2o22b2o22b2o22b2o$9b2o22b
2o22b2o22b2o22b2o22b2o22b2o22b2o22b2o22b2o22b2o22b2o$7bob2obo18bob2obo
18bob2obo18bob2obo18bob2obo18bob2obo18bob2obo18bob2obo18bob2obo18bob2o
bo18bob2obo18bob2obo$5b3o4b3o14b3o4b3o14b3o4b3o14b3o4b3o14b3o4b3o14b3o
4b3o14b3o4b3o14b3o4b3o14b3o4b3o14b3o4b3o14b3o4b3o14b3o4b3o$2b2o12b2o8b
2o12b2o8b2o12b2o8b2o12b2o8b2o12b2o8b2o12b2o8b2o12b2o8b2o12b2o8b2o12b2o
8b2o12b2o8b2o12b2o8b2o12b2o$2b2o2bob4obo2b2o8b2o2bob4obo2b2o8b2o2bob4o
bo2b2o8b2o2bob4obo2b2o8b2o2bob4obo2b2o8b2o2bob4obo2b2o8b2o2bob4obo2b2o
8b2o2bob4obo2b2o8b2o2bob4obo2b2o8b2o2bob4obo2b2o8b2o2bob4obo2b2o8b2o2b
ob4obo2b2o$6bobo2bobo16bobo2bobo16bobo2bobo16bobo2bobo16bobo2bobo16bob
o2bobo16bobo2bobo16bobo2bobo16bobo2bobo16bobo2bobo16bobo2bobo16bobo2bo
bo2$5b2o6b2o14b2o6b2o14b2o6b2o14b2o6b2o14b2o6b2o14b2o6b2o14b2o6b2o14b
2o6b2o14b2o6b2o14b2o6b2o14b2o6b2o14b2o6b2o$2b6o4b6o8b6o4b6o8b6o4b6o8b
6o4b6o8b6o4b6o8b6o4b6o8b6o4b6o8b6o4b6o8b6o4b6o8b6o4b6o8b6o4b6o8b6o4b6o
$2bobo10bobo8bobo10bobo8bobo10bobo8bobo10bobo8bobo10bobo8bobo10bobo8bo
bo10bobo8bobo10bobo8bobo10bobo8bobo10bobo8bobo10bobo8bobo10bobo$2bob2o
8b2obo8bob2o8b2obo8bob2o8b2obo8bob2o8b2obo8bob2o8b2obo8bob2o8b2obo8bob
2o8b2obo8bob2o8b2obo8bob2o8b2obo8bob2o8b2obo8bob2o8b2obo8bob2o8b2obo$
2bob2o8b2obo8bob2o8b2obo8bob2o8b2obo8bob2o8b2obo8bob2o8b2obo8bob2o8b2o
bo8bob2o8b2obo8bob2o8b2obo8bob2o8b2obo8bob2o8b2obo8bob2o8b2obo8bob2o8b
2obo$b2ob2o8b2ob2o6b2ob2o8b2ob2o6b2ob2o8b2ob2o6b2ob2o8b2ob2o6b2ob2o8b
2ob2o6b2ob2o8b2ob2o6b2ob2o8b2ob2o6b2ob2o8b2ob2o6b2ob2o8b2ob2o6b2ob2o8b
2ob2o6b2ob2o8b2ob2o6b2ob2o8b2ob2o$b2obo10bob2o6b2obo10bob2o6b2obo10bob
2o6b2obo10bob2o6b2obo10bob2o6b2obo10bob2o6b2obo10bob2o6b2obo10bob2o6b
2obo10bob2o6b2obo10bob2o6b2obo10bob2o6b2obo10bob2o$2bobo10bobo8bobo10b
obo8bobo10bobo8bobo10bobo8bobo10bobo8bobo10bobo8bobo10bobo8bobo10bobo
8bobo10bobo8bobo10bobo8bobo10bobo8bobo10bobo$4bo2b2o2b2o2bo12bo2b2o2b
2o2bo12bo2b2o2b2o2bo12bo2b2o2b2o2bo12bo2b2o2b2o2bo12bo2b2o2b2o2bo12bo
2b2o2b2o2bo12bo2b2o2b2o2bo12bo2b2o2b2o2bo12bo2b2o2b2o2bo12bo2b2o2b2o2b
o12bo2b2o2b2o2bo$3bo4bo2bo4bo10bo4bo2bo4bo10bo4bo2bo4bo10bo4bo2bo4bo
10bo4bo2bo4bo10bo4bo2bo4bo10bo4bo2bo4bo10bo4bo2bo4bo10bo4bo2bo4bo10bo
4bo2bo4bo10bo4bo2bo4bo10bo4bo2bo4bo$9b2o22b2o22b2o22b2o22b2o22b2o22b2o
22b2o22b2o22b2o22b2o22b2o$8bo2bo20bo2bo20bo2bo20bo2bo20bo2bo20bo2bo20b
o2bo20bo2bo20bo2bo20bo2bo20bo2bo20bo2bo2$4b4o4b4o12b4o4b4o12b4o4b4o12b
4o4b4o12b4o4b4o12b4o4b4o12b4o4b4o12b4o4b4o12b4o4b4o12b4o4b4o12b4o4b4o
12b4o4b4o$b3o2b2ob2ob2o2b3o6b3o2b2ob2ob2o2b3o6b3o2b2ob2ob2o2b3o6b3o2b
2ob2ob2o2b3o6b3o2b2ob2ob2o2b3o6b3o2b2ob2ob2o2b3o6b3o2b2ob2ob2o2b3o6b3o
2b2ob2ob2o2b3o6b3o2b2ob2ob2o2b3o6b3o2b2ob2ob2o2b3o6b3o2b2ob2ob2o2b3o6b
3o2b2ob2ob2o2b3o$3bo5b2o5bo10bo5b2o5bo10bo5b2o5bo10bo5b2o5bo10bo5b2o5b
o10bo5b2o5bo10bo5b2o5bo10bo5b2o5bo10bo5b2o5bo10bo5b2o5bo10bo5b2o5bo10b
o5b2o5bo$b2obob3o2b3obob2o6b2obob3o2b3obob2o6b2obob3o2b3obob2o6b2obob
3o2b3obob2o6b2obob3o2b3obob2o6b2obob3o2b3obob2o6b2obob3o2b3obob2o6b2ob
ob3o2b3obob2o6b2obob3o2b3obob2o6b2obob3o2b3obob2o6b2obob3o2b3obob2o6b
2obob3o2b3obob2o$3b3o3b2o3b3o10b3o3b2o3b3o10b3o3b2o3b3o10b3o3b2o3b3o
10b3o3b2o3b3o10b3o3b2o3b3o10b3o3b2o3b3o10b3o3b2o3b3o10b3o3b2o3b3o10b3o
3b2o3b3o10b3o3b2o3b3o10b3o3b2o3b3o$3bo12bo10bo12bo10bo12bo10bo12bo10bo
12bo10bo12bo10bo12bo10bo12bo10bo12bo10bo12bo10bo12bo10bo12bo$5b2o2b2o
2b2o14b2o2b2o2b2o14b2o2b2o2b2o14b2o2b2o2b2o14b2o2b2o2b2o14b2o2b2o2b2o
14b2o2b2o2b2o14b2o2b2o2b2o14b2o2b2o2b2o14b2o2b2o2b2o14b2o2b2o2b2o14b2o
2b2o2b2o$5b10o14b10o14b10o14b10o14b10o14b10o14b10o14b10o14b10o14b10o
14b10o14b10o$5bob2o2b2obo14bob2o2b2obo14bob2o2b2obo14bob2o2b2obo14bob
2o2b2obo14bob2o2b2obo14bob2o2b2obo14bob2o2b2obo14bob2o2b2obo14bob2o2b
2obo14bob2o2b2obo14bob2o2b2obo$7bo4bo18bo4bo18bo4bo18bo4bo18bo4bo18bo
4bo18bo4bo18bo4bo18bo4bo18bo4bo18bo4bo18bo4bo$8bo2bo20bo2bo20bo2bo20bo
2bo20bo2bo20bo2bo20bo2bo20bo2bo20bo2bo20bo2bo20bo2bo20bo2bo$6bobo2bobo
16bobo2bobo16bobo2bobo16bobo2bobo16bobo2bobo16bobo2bobo16bobo2bobo16bo
bo2bobo16bobo2bobo16bobo2bobo16bobo2bobo16bobo2bobo$5b2ob4ob2o14b2ob4o
b2o14b2ob4ob2o14b2ob4ob2o14b2ob4ob2o14b2ob4ob2o14b2ob4ob2o14b2ob4ob2o
14b2ob4ob2o14b2ob4ob2o14b2ob4ob2o14b2ob4ob2o$5b2ob4ob2o14b2ob4ob2o14b
2ob4ob2o14b2ob4ob2o14b2ob4ob2o14b2ob4ob2o14b2ob4ob2o14b2ob4ob2o14b2ob
4ob2o14b2ob4ob2o14b2ob4ob2o14b2ob4ob2o$6bo6bo16bo6bo16bo6bo16bo6bo16bo
6bo16bo6bo16bo6bo16bo6bo16bo6bo16bo6bo16bo6bo16bo6bo$5b3o4b3o14b3o4b3o
14b3o4b3o14b3o4b3o14b3o4b3o14b3o4b3o14b3o4b3o14b3o4b3o14b3o4b3o14b3o4b
3o14b3o4b3o14b3o4b3o$3bobo8bobo10bobo8bobo10bobo8bobo10bobo8bobo10bobo
8bobo10bobo8bobo10bobo8bobo10bobo8bobo10bobo8bobo10bobo8bobo10bobo8bob
o10bobo8bobo$2bo14bo8bo14bo8bo14bo8bo14bo8bo14bo8bo14bo8bo14bo8bo14bo
8bo14bo8bo14bo8bo14bo8bo14bo$2b2ob2o6b2ob2o8b2ob2o6b2ob2o8b2ob2o6b2ob
2o8b2ob2o6b2ob2o8b2ob2o6b2ob2o8b2ob2o6b2ob2o8b2ob2o6b2ob2o8b2ob2o6b2ob
2o8b2ob2o6b2ob2o8b2ob2o6b2ob2o8b2ob2o6b2ob2o8b2ob2o6b2ob2o$5b2o6b2o14b
2o6b2o14b2o6b2o14b2o6b2o14b2o6b2o14b2o6b2o14b2o6b2o14b2o6b2o14b2o6b2o
14b2o6b2o14b2o6b2o14b2o6b2o$4b2ob6ob2o12b2ob6ob2o12b2ob6ob2o12b2ob6ob
2o12b2ob6ob2o12b2ob6ob2o12b2ob6ob2o12b2ob6ob2o12b2ob6ob2o12b2ob6ob2o
12b2ob6ob2o12b2ob6ob2o$2b2obo8bob2o8b2obo8bob2o8b2obo8bob2o8b2obo8bob
2o8b2obo8bob2o8b2obo8bob2o8b2obo8bob2o8b2obo8bob2o8b2obo8bob2o8b2obo8b
ob2o8b2obo8bob2o8b2obo8bob2o$6bo6bo16bo6bo16bo6bo16bo6bo16bo6bo16bo6bo
16bo6bo16bo6bo16bo6bo16bo6bo16bo6bo16bo6bo3$6b8o16b8o16b8o16b8o16b8o
16b8o16b8o16b8o16b8o16b8o16b8o16b8o$6b2o4b2o16b2o4b2o16b2o4b2o16b2o4b
2o16b2o4b2o16b2o4b2o16b2o4b2o16b2o4b2o16b2o4b2o16b2o4b2o16b2o4b2o16b2o
4b2o$30b3o2b3o16b3o2b3o16b3o2b3o16b3o2b3o16b3o2b3o16b3o2b3o16b3o2b3o
16b3o2b3o16b3o2b3o16b3o2b3o16b3o2b3o$31bo4bo18bo4bo18bo4bo18bo4bo18bo
4bo18bo4bo18bo4bo18bo4bo18bo4bo18bo4bo18bo4bo$30b3o2b3o16b3o2b3o16b3o
2b3o16b3o2b3o16b3o2b3o16b3o2b3o16b3o2b3o16b3o2b3o16b3o2b3o16b3o2b3o16b
3o2b3o$30bo2b2o2bo16bo2b2o2bo16bo2b2o2bo16bo2b2o2bo16bo2b2o2bo16bo2b2o
2bo16bo2b2o2bo16bo2b2o2bo16bo2b2o2bo16bo2b2o2bo16bo2b2o2bo$30bo2b2o2bo
16bo2b2o2bo16bo2b2o2bo16bo2b2o2bo16bo2b2o2bo16bo2b2o2bo16bo2b2o2bo16bo
2b2o2bo16bo2b2o2bo16bo2b2o2bo16bo2b2o2bo$30bo6bo16bo6bo16bo6bo16bo6bo
16bo6bo16bo6bo16bo6bo16bo6bo16bo6bo16bo6bo16bo6bo2$29b2obo2bob2o14b2ob
o2bob2o14b2obo2bob2o14b2obo2bob2o14b2obo2bob2o14b2obo2bob2o14b2obo2bob
2o14b2obo2bob2o14b2obo2bob2o14b2obo2bob2o14b2obo2bob2o$31b2o2b2o18b2o
2b2o18b2o2b2o18b2o2b2o18b2o2b2o18b2o2b2o18b2o2b2o18b2o2b2o18b2o2b2o18b
2o2b2o18b2o2b2o2$28b2o8b2o12b2o8b2o12b2o8b2o12b2o8b2o12b2o8b2o12b2o8b
2o12b2o8b2o12b2o8b2o12b2o8b2o12b2o8b2o12b2o8b2o$28b2obo4bob2o12b2obo4b
ob2o12b2obo4bob2o12b2obo4bob2o12b2obo4bob2o12b2obo4bob2o12b2obo4bob2o
12b2obo4bob2o12b2obo4bob2o12b2obo4bob2o12b2obo4bob2o$27bob4o2b4obo10bo
b4o2b4obo10bob4o2b4obo10bob4o2b4obo10bob4o2b4obo10bob4o2b4obo10bob4o2b
4obo10bob4o2b4obo10bob4o2b4obo10bob4o2b4obo10bob4o2b4obo$27b2o10b2o10b
2o10b2o10b2o10b2o10b2o10b2o10b2o10b2o10b2o10b2o10b2o10b2o10b2o10b2o10b
2o10b2o10b2o10b2o10b2o10b2o$27bo5b2o5bo10bo5b2o5bo10bo5b2o5bo10bo5b2o
5bo10bo5b2o5bo10bo5b2o5bo10bo5b2o5bo10bo5b2o5bo10bo5b2o5bo10bo5b2o5bo
10bo5b2o5bo$27bo12bo10bo12bo10bo12bo10bo12bo10bo12bo10bo12bo10bo12bo
10bo12bo10bo12bo10bo12bo10bo12bo$27bo12bo10bo3bo4bo3bo10bo3bo4bo3bo10b
o3bo4bo3bo10bo3bo4bo3bo10bo12bo10bo12bo10bo3bo4bo3bo10bo3bo4bo3bo10bo
3bo4bo3bo10bo3bo4bo3bo$28b4o4b4o12b3o2b2o2b3o12b3o2b2o2b3o12b3o2b2o2b
3o12b3o2b2o2b3o12b4o4b4o12b4o4b4o12b3o2b2o2b3o12b3o2b2o2b3o12b3o2b2o2b
3o12b3o2b2o2b3o$28b2o8b2o14b2o4b2o16b2o4b2o16b2o4b2o16b2o4b2o14b2o8b2o
12b2o8b2o14b2o4b2o16b2o4b2o16b2o4b2o16b2o4b2o$31b2o2b2o17b2o4b2o16b2o
4b2o16b2o4b2o16b2o4b2o17b2o2b2o18b2o2b2o17b2o4b2o16b2o4b2o16b2o4b2o16b
2o4b2o$26b2o4b4o4b2o7b3ob2o6b2ob3o6b3ob2o6b2ob3o6b3ob2o6b2ob3o6b3ob2o
6b2ob3o7b2o4b4o4b2o8b2o4b4o4b2o7b3ob2o6b2ob3o6b3ob2o6b2ob3o6b3ob2o6b2o
b3o6b3ob2o6b2ob3o$26b2o5b2o5b2o8bob2o8b2obo8bob2o8b2obo8bob2o8b2obo8bo
b2o8b2obo8b2o5b2o5b2o8b2o5b2o5b2o8bob2o8b2obo8bob2o8b2obo8bob2o8b2obo
8bob2o8b2obo$29bo8bo16b6o18b6o18b6o18b6o16bo8bo14bo8bo16b6o18b6o18b6o
18b6o$25bo3bo8bo3bo12b2o2b2o18b2o2b2o18b2o2b2o18b2o2b2o12bo3bo8bo3bo6b
o3bo8bo3bo12b2o2b2o18b2o2b2o18b2o2b2o18b2o2b2o$28bo10bo11bo12bo10bo12b
o10bo12bo10bo12bo11bo10bo12bo10bo11bo12bo10bo12bo10bo12bo10bo12bo$25b
2o14b2o8b3o3b2o3b3o10b3o3b2o3b3o10b3o3b2o3b3o10b3o3b2o3b3o8b2o14b2o6b
2o14b2o8b3o3b2o3b3o10b3o3b2o3b3o10b3o3b2o3b3o10b3o3b2o3b3o$50b2o12b2o
8b2o12b2o8b2o12b2o8b2o12b2o56b2o12b2o8b2o12b2o8b2o12b2o8b2o12b2o$54b2o
4b2o16b2o4b2o16b2o4b2o16b2o4b2o12bo14bo8bo14bo12b2o4b2o16b2o4b2o16b2o
4b2o16b2o4b2o$54bo6bo16bobo2bobo16bobo2bobo16bobo2bobo11bobo12bobo6bob
o12bobo11bobo2bobo16bobo2bobo16bobo2bobo16bo6bo$80bo2bo20bo2bo20bo2bo
14b2o12b2o8b2o12b2o14bo2bo20bo2bo20bo2bo21b2o$78bo2b2o2bo16bo2b2o2bo
16bo2b2o2bo15b3o4b3o14b3o4b3o15bo2b2o2bo16bo2b2o2bo16bo2b2o2bo18b4o$
79b2o2b2o18b2o2b2o18b2o2b2o16bobo4bobo14bobo4bobo16b2o2b2o18b2o2b2o18b
2o2b2o18b2o2b2o$79bo4bo18bo4bo18bo4bo16bob2o2b2obo14bob2o2b2obo16bo4bo
18bo4bo18bo4bo18bo4bo$75bobo8bobo10bobo8bobo10bobo8bobo58bobo8bobo10bo
bo8bobo10bobo8bobo15bo2bo$73b2o2b2o6b2o2b2o6b2o2b2o6b2o2b2o6b2o2b2o6b
2o2b2o13bo2bo20bo2bo13b2o2b2o6b2o2b2o6b2o2b2o6b2o2b2o6b2o2b2o6b2o2b2o
12b2o2b2o$73b2o2b3o4b3o2b2o6b2o2b3o4b3o2b2o6b2o2b3o4b3o2b2o12b6o18b6o
12b2o2b3o4b3o2b2o6b2o2b3o4b3o2b2o6b2o2b3o4b3o2b2o$77b2o6b2o14b2o6b2o
14b2o6b2o16b6o18b6o16b2o6b2o14b2o6b2o14b2o6b2o16bo4bo$77b2o6b2o14b2o6b
2o14b2o6b2o62b2o6b2o14b2o6b2o14b2o6b2o15b3o2b3o$77b2o2b2o2b2o14b2o2b2o
2b2o14b2o2b2o2b2o18b2o22b2o18b2o2b2o2b2o14b2o2b2o2b2o14b2o2b2o2b2o14b
3o4b3o$76b3o2b2o2b3o12b3o2b2o2b3o12b3o2b2o2b3o41b2o17b3o2b2o2b3o12b3o
2b2o2b3o12b3o2b2o2b3o13b2o6b2o$80bo2bo20bo2bo20bo2bo19bob2obo18bob2obo
19bo2bo20bo2bo20bo2bo17bo8bo$78bo6bo16bo6bo16bo6bo16b3o2b3o15b3o4b3o
15bo6bo16bo6bo16bo6bo$79bo4bo18bo4bo18bo4bo13b4o2b4o2b4o8b2o12b2o13bo
4bo18bo4bo18bo4bo18b2o2b2o$78bo6bo16bo6bo16bo6bo12b2o4b4o4b2o8b2o2bob
4obo2b2o12bo6bo16bo6bo16bo6bo17b2o2b2o$80bo2bo20bo2bo20bo2bo20bo2bo18b
obo2bobo18bo2bo20bo2bo20bo2bo14bobo3b4o3bobo$80b4o20b4o20b4o17b3o4b3o
41b4o20b4o20b4o14bo2b2o6b2o2bo$81b2o22b2o22b2o16bo3bo4bo3bo12b2o6b2o
18b2o22b2o22b2o15b5o6b5o$79b2o2b2o18b2o2b2o18b2o2b2o13bo4bo4bo4bo8b6o
4b6o13b2o2b2o18b2o2b2o18b2o2b2o14b2o3bo2bo3b2o$145b2o14b2o7bobo10bobo
81bo4b4o4bo$145b2o14b2o7bob2o8b2obo80bo2bo2b4o2bo2bo$79b2o2b2o18b2o2b
2o18b2o2b2o13bo3bo6bo3bo8bob2o8b2obo13b2o2b2o18b2o2b2o18b2o2b2o15bobob
o2bobobo$78bo2b2o2bo16bo2b2o2bo16bo2b2o2bo35b2ob2o8b2ob2o11bo2b2o2bo
16bo2b2o2bo16bo2b2o2bo14bo3bo2bo3bo$79b2o2b2o18b2o2b2o18b2o2b2o15bo10b
o9b2obo10bob2o12b2o2b2o18b2o2b2o18b2o2b2o18bob2obo$79bo4bo18bo4bo18bo
4bo12b2ob2o8b2ob2o7bobo10bobo13bo4bo18bo4bo18bo4bo17bo6bo$75bobo8bobo
10bobo8bobo10bobo8bobo11bo2b2o2b2o2bo12bo2b2o2b2o2bo11bobo8bobo10bobo
8bobo10bobo8bobo10b2o2b6o2b2o$74bo2bo8bo2bo8bo2bo8bo2bo8bo2bo8bo2bo13b
2o2b2o14bo4bo2bo4bo9bo2bo8bo2bo8bo2bo8bo2bo8bo2bo8bo2bo10bo3b4o3bo$75b
obo8bobo10bobo8bobo10bobo8bobo15b4o21b2o16bobo8bobo10bobo8bobo10bobo8b
obo16b2o$80bo2bo20bo2bo20bo2bo21b2o21bo2bo20bo2bo20bo2bo20bo2bo16bob2o
4b2obo$76bo2b2o2b2o2bo12bo2b2o2b2o2bo12bo2b2o2b2o2bo13b3o4b3o37bo2b2o
2b2o2bo12bo2b2o2b2o2bo12bo2b2o2b2o2bo12bo10bo$75bobo3b2o3bobo10bobo3b
2o3bobo10bobo3b2o3bobo9b4ob2o2b2ob4o10b4o4b4o11bobo3b2o3bobo10bobo3b2o
3bobo10bobo3b2o3bobo13bo2b2o2bo$74b2o4bo2bo4b2o8b2o4bo2bo4b2o8b2o4bo2b
o4b2o8b2o3bob2obo3b2o7b3o2b2ob2ob2o2b3o7b2o4bo2bo4b2o8b2o4bo2bo4b2o8b
2o4bo2bo4b2o15b2o$80b4o20b4o20b4o16b2o8b2o11bo5b2o5bo15b4o20b4o20b4o
16b2o8b2o$73bo4bo2b2o2bo4bo6bo4bo2b2o2bo4bo6bo4bo2b2o2bo4bo7bo3b3o2b3o
3bo7b2obob3o2b3obob2o6bo4bo2b2o2bo4bo6bo4bo2b2o2bo4bo6bo4bo2b2o2bo4bo
8bo5b2o5bo$74bo4bo4bo4bo8bo4b2o2b2o4bo8bo4b2o2b2o4bo11b10o12b3o3b2o3b
3o9bo4b2o2b2o4bo8bo4b2o2b2o4bo8bo4b2o2b2o4bo9b2ob2ob2ob2ob2o$74bo14bo
8bo4b6o4bo8bo4b6o4bo9bo2bo6bo2bo10bo12bo9bo4b6o4bo8bo4b6o4bo8bo4b6o4bo
10bobobo2bobobo$104bo2bo20bo2bo16b2o8b2o13b2o2b2o2b2o17bo2bo20bo2bo20b
o2bo17b3o4b3o$100bo4b2o4bo12bo4b2o4bo12bo10bo13b10o13bo4b2o4bo12bo4b2o
4bo12bo4b2o4bo13bob2o2b2obo$99b2o2bo4bo2b2o10b2o2bo4bo2b2o12bo8bo14bob
2o2b2obo12b2o2bo4bo2b2o10b2o2bo4bo2b2o10b2o2bo4bo2b2o12bobo4bobo$98bo
4bo4bo4bo8bo4bo4bo4bo12b2o4b2o17bo4bo13bo4bo4bo4bo8bo4bo4bo4bo8bo4bo4b
o4bo10bob2o4b2obo$103bo4bo18bo4bo19bo2bo20bo2bo19bo4bo18bo4bo18bo4bo$
104b4o20b4o17b2obo2bob2o15bobo2bobo18b4o20b4o20b4o$100bobo6bobo12bobo
6bobo37b2ob4ob2o13bobo6bobo12bobo6bobo12bobo6bobo13b3o4b3o$99bobob2o2b
2obobo10bobob2o2b2obobo15bo2bo17b2ob4ob2o12bobob2o2b2obobo10bobob2o2b
2obobo10bobob2o2b2obobo11b4o4b4o$99bobob6obobo10bobob6obobo15b4o18bo6b
o13bobob6obobo10bobob6obobo10bobob6obobo10bo12bo$98b6ob2ob6o8b6ob2ob6o
10b2obo4bob2o13b3o4b3o11b6ob2ob6o8b6ob2ob6o8b6ob2ob6o9bob2o6b2obo$102b
2o4b2o16b2o4b2o14b2o8b2o11bobo8bobo13b2o4b2o16b2o4b2o16b2o4b2o12b2o2bo
6bo2b2o$98b2ob2o6b2ob2o8b2ob2o6b2ob2o8bo2b2o6b2o2bo8bo14bo8b2ob2o6b2ob
2o8b2ob2o6b2ob2o8b2ob2o6b2ob2o8b2o12b2o$98b2o12b2o8b2o12b2o8b5o6b5o8b
2ob2o6b2ob2o8b2o12b2o8b2o12b2o8b2o12b2o$98b2o12b2o8b2o5b2o5b2o9bo4b4o
4bo12b2o6b2o11b2o5b2o5b2o8b2o5b2o5b2o8b2o5b2o5b2o12b3o2b3o$128bo2bo15b
o3b6o3bo11b2ob6ob2o16bo2bo20bo2bo20bo2bo20bo2bo$128bo2bo15bobob6obobo
9b2obo8bob2o14bo2bo20bo2bo20bo2bo16bo10bo$174bo6bo87b2obo2bob2o$198b2o
4b2o16b2o4b2o18b4o20b4o$151b6o40bo2bo2bo2bo14bo2bo2bo2bo15bo6bo13b3ob
2o2b2ob3o$150bob4obo16b8o17b6o18b6o17bo6bo12bo14bo$150bo2b2o2bo16b2o4b
2o14b3o2b2o2b3o12b3o2b2o2b3o11bo2bo2b2o2bo2bo8b2o14b2o$197bo8bo14bo8bo
11b2o12b2o7b2o3bo6bo3b2o$199b2o2b2o18b2o2b2o17b3o2b3o$198bo6bo16bo6bo
16bob4obo14b2ob2o2b2ob2o$198bo6bo16bo6bo15b2ob4ob2o15b3o2b3o$200bo2bo
20bo2bo14b2o3bob2obo3b2o12bo2b2o2bo$194bo4bo4bo4bo8bo4bo4bo4bo8bobo10b
obo13b2o2b2o$193bobo2b2o4b2o2bobo6bobo2b2o4b2o2bobo9bo10bo15b2o2b2o$
242b3o10b3o$193b2obo2b2o2b2o2bob2o6b2obo2b2o2b2o2bob2o7bobo10bobo$200b
4o20b4o14bobo10bobo$196bobobo2bobobo12bobobo2bobobo10b2o12b2o13b6o$
196b4o4b4o12b4o4b4o12bo2bo4bo2bo12bob8obo$198bo6bo16bo6bo14b5o2b5o11bo
12bo$225b2o17b2o2bo2bo2b2o10bo4bo4bo4bo$225b2o18b4o2b4o12bo3bo4bo3bo$
245bobo4bobo15bobo2bobo$244b3obo2bob3o14bo2b2o2bo$241b2o14b2o7bo3bobo
2bobo3bo$241b2o3bo2b2o2bo3b2o7b2o12b2o$242bo3bo2b2o2bo3bo9b2o10b2o$
243b3o2bo2bo2b3o10bo12bo$244bo10bo10bo14bo$245bo2bo2bo2bo11b3o10b3o$
243bob2o2b2o2b2obo10bobo8bobo$243bo3bo4bo3bo14bo4bo$245bobo4bobo12bo2b
2o4b2o2bo$247b2o2b2o15b2o2bo2bo2b2o$246bobo2bobo16b2o4b2o$246bo2b2o2bo
17bo4bo$246bobo2bobo14b2obob2obob2o$246b2o4b2o12b3o10b3o$244bobo6bobo
9b2ob3o6b3ob2o$243bo12bo11b2o2b4o2b2o$242bo3bo6bo3bo9b2o10b2o$242b2o
12b2o14bo2bo$245b2o6b2o14bo2bo2bo2bo$242b2obo8bob2o9b3o3b2o3b3o$247b6o
14bo2bo6bo2bo$243bob10obo12b3o4b3o$249b2o20bo4bo$247bob2obo19bo2bo$
246bo2b2o2bo16b3o2b3o$246bo6bo17b2o2b2o$247bo4bo$269b2o6b2o$268b3o6b3o
$267b3o3b2o3b3o$266b2o12b2o$269b3o4b3o$266b2obo8bob2o$267b2o10b2o$267b
ob10obo2$271bo4bo$271b6o$270bobo2bobo$271bo4bo!


I had previously tried to find this collection using "knight2", but I missed the next to last one.

I will post the code for "knightt" on the knight2 thread on the scripts page in the next couple of days after I clean up the code a little bit.

Have a happy day,

-Tim Coe
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Re: Spaceship Discussion Thread

Postby Sokwe » March 19th, 2016, 3:52 am

moebius wrote:Someone ran this search before. I would like to check if we got the same longest partial

Unfortunately, I ran that search with an unmodified gfind 4.9, which doesn't save the state of the search or display partial results.

moebius wrote:"Knightt" tracks every phase

So does this mean that Knightt is not restricted by speed. I was under the impression that the speed restrictions for Knight2 were based on the fact that it only looked at the ship in certain phases. Also, does this mean that Knightt performs slower than Knight2 on speeds for which they both work?

On a somewhat unrelated note, you mentioned here that you had found some small c/4 orthogonal ships. Were any of those new?
-Matthias Merzenich
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Re: Spaceship Discussion Thread

Postby Bullet51 » March 19th, 2016, 8:08 am

A probably known c/4 orthogonal wave:
x = 120, y = 45, rule = B3/S23
4bo$3bobo$2bo4bo6bo$3o4bo5bobo$2o2b2obo4bo4bo6bo$2o4bo3b3o4bo5bobo$5bo
4b2o2b2obo4bo4bo6bo$6bo3b2o4bo3b3o4bo5bobo$15bo4b2o2b2obo4bo4bo6bo69bo
$16bo3b2o4bo3b3o4bo5bobo67b3o$25bo4b2o2b2obo4bo4bo6bo58b3o$26bo3b2o4bo
3b3o4bo5bobo59bo$35bo4b2o2b2obo4bo4bo6bo47b4o$36bo3b2o4bo3b3o4bo5bobo
45bobob2o$45bo4b2o2b2obo4bo4bo6bo36bo$46bo3b2o4bo3b3o4bo5bobo36bo$55bo
4b2o2b2obo4bo4bo6bo31b3o$56bo3b2o4bo3b3o4bo5bobo30b3o$65bo4b2o2b2obo4b
o4bo6bo20bobo$66bo3b2o4bo3b3o4bo5bobo16bobo$75bo4b2o2b2obo4bo4bo6bo7bo
$76bo3b2o4bo3b3o4bo5bobo5bo2bo$85bo4b2o2b2obo4bo4bo5b2o$86bo3b2o4bo3b
3o4bo4b3o$95bo4b2o2b2obo$96bo3b2o4bo3bobo$105bo4bo$106bo3b2o3bo$111bo
3b2o$112bo3bo$112bobo$115bo$113bo2b2o$113bo4bo$118bo$115b2o$116bo$116b
o2bo$115bo2bo2$114bo3bo$114b2ob2o3$115b3o!
Still drifting.
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Re: Spaceship Discussion Thread

Postby codeholic » March 19th, 2016, 10:20 am

Are there any other c/6 orthogonal spaceships known except 114P6H1V0, 274P6H1V0, 56P6H1V0, Dragon and their variants, mentioned in the wiki?
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Re: Spaceship Discussion Thread

Postby A for awesome » March 19th, 2016, 11:34 am

Just searched c/9 odd-symmetric width-13 with zfind, negative results. Here are some partials:
x = 99, y = 32, rule = B3/S23
6bo21bo20bo20bo17bo7bo$5bobo19bobo18bobo18bobo15bo2bo3bo2bo$27bobo18bo
bo18bobo15bo3bobo3bo$b3ob3ob3o58bo17bo2bobo2bo$b3o5b3o16bo20bo17bo5bo$
b3o5b3o16bo19bobo15bobo3bobo13bo2bobo2bo$3b3ob3o16b5o16b2ob2o14bo7bo
13bobo3bobo$bob2o3b2obo12b2o5b2o14b2ob2o16b2ob2o15bobo3bobo$4bo3bo14bo
9bo14b3o16bo5bo15bo5bo$4bobobo14bo4bo4bo54bobo3bobo$2bo3bo3bo13bo7bo
36bobo15b2o2bobo2b2o$2bo3bo3bo13bo3bo3bo11b3o5b3o12b2o3b2o13bo9bo$ob2o
2bo2b2obo10b2obobobob2o12b2o3b2o12bo2bo3bo2bo11bo9bo$bo3bobo3bo10bo2b
2o3b2o2bo10bobo3bobo14bobobo15bobo3bobo$2bo3bo3bo13bo7bo11b3obobob3o9b
o11bo12b2o3b2o$b3o5b3o14b5o13bobo5bobo9bo3bo3bo3bo$3b3ob3o16b2ob2o16bo
3bo13bo9bo14bo3bo$2bob2ob2obo15b2ob2o16bo3bo15bo2bo2bo15b2o3b2o$2bo7bo
17bo19bobo16b2obob2o15b7o$bo9bo15b3o16bo5bo15bobobo16bo5bo$b2o7b2o13b
2o3b2o12b4o3b4o13b2ob2o16bo5bo$2obobobobob2o10b4o3b4o10bobo5bobo11bo2b
obo2bo16bobo$4b2ob2o14bo9bo9b2o9b2o9b2ob2ob2ob2o$4b2ob2o15bo2b3o2bo13b
o5bo13bobo3bobo15b5o$bo2b2ob2o2bo12bobo3bobo15bobo14bobo5bobo12b2ob3ob
2o$bob2o3b2obo14bo3bo14bobo3bobo10b2o2bo3bo2b2o11bo3bo3bo$45bobobobobo
10b5o3b5o13bo3bo$66bo2bobo2bo$68bo3bo15b3obob3o$67bo5bo13b2ob2ob2ob2o$
67b2o3b2o12bo11bo$86bo4bobo4bo!

If I had to guess, I'd say there's probably something at around width-19 or 21, judging from those partials.
#A21C version -1.0
#Probably a CGOL one-liner:
f(&a){a=(ind(a),((-1:2)**2))`@int(x,y){return a[x],y``@int(z,w){\
return z+a[(x,w)`(+)]\:0}}`@bool(x,y){return y==3||(x&&y==4)}}


http://conwaylife.com/wiki/A_for_all

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Re: Spaceship Discussion Thread

Postby moebius » March 19th, 2016, 3:22 pm

Matthias,

On a somewhat unrelated note, you mentioned here that you had found some small c/4 orthogonal ships. Were any of those new?


Here is the last posting I saw that you made of small c/4 ships with 9 added ships (60, 64x3, 65, 66, 67x2, 69). I noticed that the sombrero ones were part of some of Hartmut's grey ships:

x = 910, y = 524, rule = B3/S23
6$170bobo$170bo3bo19bo$170bo2b2o17bo2b2o$38bo133bobo15b3o$36bo2b2o133b
o14bobo$34b3o136b2obo12bob2o$33bobo138bobo11bo4bo$33bob2o135bo14b2o$8b
obobo3bobobo11bo4bo110bobobo3bobobo10b2o$31b2o153bo4b2o$12bo7bo127bo7b
o13b2o2b2o14bo$30bo4b2o133b3ob2o11b3o$8bobobo7bo13bo113bobobo3bobobo
12bob2o12bo$31b3o138b2o16bo$12bo7bo12bo118bo3bo3bo11bo16b2ob2o$34bo
137bob2o12b2o2bo$8bobobo7bo12b2o113bobobo3bobobo11bo3bo11b2o3bo$34bo
137bo14bobo3b2o$34b2o137bo13b2o4b2o$31bo2b2o141bobo8b3obo$29b2o3bo139b
2o3bo9b2ob3o$31bo141bobo3bo7bo$173b2obo10bo$169bobo15bobo$169bo$169bob
o7$43bo$34b3o4bobo$8bo3bo4bo11bo2b2o4b2obobo$29b2o7bo$8bo3bo4bo11bo3bo
6b3o152bo$34b2o4bo2bo144bobob2obo25bobobo18bo24bo24bo24bo24bo$8bobobo
4bo21b2o2bo142bo3bobo26bo3bob2obo13bo2b2o20bo2b2o20bo2b2o20bo2b2o20bo
2b2o$36b3o4bo141bo32bo9bo11b3o22b3o22b3o22b3o22b3o$12bo4bo25bo140bo3b
2o27bo3b2o16bobo22bobo22bobo22bobo22bobo$42b2o140bob2o29bob2o18bob2o
21bob2o21bob2o21bob2o21bob2o$12bo4bo22bo2b2o103bobobo3bobobo24bo32bo
19bo4bo19bo4bo19bo4bo19bo4bo19bo4bo$38b2o143bo32bo20b2o23b2o23b2o23b2o
23b2o$40bo107bo11bo21bobo30bobo$179bo2bobo27bo2bobo18bo4b2o18bo4b2o18b
o4b2o18bo4b2o18bo4b2o$148bobobo7bo17bobo30bobo26bo24bo24bo24bo24bo$
177bo2bo29bo2bo23b3o22b3o22b3o22b3o22b3o$152bo7bo17bo32bo27bo24bo24bo
24bo24bo$169bo2b2o5b2o21bo2b2o5b2o26bo12bo11bo24bo24bo24bo$148bobobo7b
o8b2o2bo5bo22b2o2bo5bo26b2o7bo2b3o10b2o7bo2b2o11b2o23b2o23b2o$169bo3b
3o2b2o22bo3b3o2b2o27bo7bo2b2o12bo7bo2b3o11bo24bo24bo$173b2obo3bo25b2ob
o3bo26b2ob2o3bo16b2ob2o3bo4bo11b2o23b2o23b2o$174bo4bo27bo4bo24bo2b2obo
b3o14bo2b2obob3o14bo2b2o3bo16bo2b2o3bo16bo2b2o$175b2o31b2o25b2o3bo3b4o
12b2o3bo3b4o12b2o3bo3b4o12b2o3bo3b4o12b2o3bo3bobo$38bo137bo3bo28bo3bo
23bo7bo16bo7bo16bo5bob3o14bo5bob3o14bo8bo3bo$36bo2b2o136bo2bo29bo2bo
79b2o3bo4bo14b2o3bo19b2ob3obo$34b3o141bobo30bobo84bo2b3o19bo2b2o15bo6b
o$33bobo262bo2b2o20bo2b3o12bo6b3o$33bob2o291bo12b2o6bo$8bo3bo3bobobo
11bo4bo303bo$31b2o$8bo3bo7bo$30bo4b2o$8bobobo3bobobo13bo$31b3o$12bo7bo
12bo$34bo4bo$12bo3bobobo12b2ob2obo$32bo3bo145bo$32b4o144bo2b2o$29bo3b
2o143b3o$29b2o$29bo149b2o$174b4o2bo24bo35bo35bo35bo35bo34bo13bo$171bob
3o3b3o14b3o4bobo26b3o4bobo26b3o4bobo26b3o4bobo26b3o4bobo5b2obobo14b3o
4bobo5b2obob2obo$148bobobo3bobobo9b2o7b4o8bo2b2o4b2obobo21bo2b2o4b2obo
bo21bo2b2o4b2obobo21bo2b2o4b2obobo14bo6bo2b2o4b2obobo3bo4bob2obo6bo2b
2o4b2obobo3bo4bobo$182bo8b2o7bo26b2o7bo26b2o7bo11b2obobo9b2o7bo11b2obo
b2obo6b2o7bo7bo10bo6b2o7bo7bo$148bo7bo3bo9bob2obo15bo3bo6b3o22bo3bo6b
3o22bo3bo6b3o5bo4bob2obo6bo3bo6b3o5bo4bobo9bo3bo6b3o3bo3b2o12bo3bo6b3o
3bo3b2o$170b2o3bo20b2o4bo2bo26b2o4bo2bo26b2o4bo2bo3bo10bo11b2o4bo2bo3b
o22b2o4bo2bo3b3o19b2o4bo2bo3b3o$148bobobo3bobobo14bo25b2o2bo31b2o2bo
31b2o2bo3bo3b2o22b2o2bo3bo3b2o22b2o2bo30b2o2bo$170b2o26b3o4bo4b3o21b3o
4bo4b3o21b3o4bo4b3o21b3o4bo4b3o21b3o4bo27b3o4bo$152bo3bo3bo9bo34bo3bo
3b2o26bo3bo3b2o26bo35bo35bo34bo$170b3o31b2o3bo10bo19b2o3bo30b2o34b2o
34b2o33b2o$148bobobo3bobobo10b2o3bo25bo2b2o3bo4bob2obo17bo2b2o3bo4bobo
20bo2b2o31bo2b2o31bo2b2o30bo2b2o$82bo94bo22b2o10b2obobo18b2o10b2obob2o
bo15b2o34b2o34b2o33b2o$45bobobo25bobob2obo91b2o26bo35bo17bo17bo35bo35b
o34bo$43bo3bob2obo20bo3bobo93bob2o$8bo3bo3bobobo21bo9bo19bo100b2o$41bo
3b2o24bo3b2o92bobo$8bo3bo3bo24bob2o26bob2o94bo$30b2ob2o7bo17b2ob2o7bo
96bobo$8bobobo3bobobo8b3o8bo18b3o8bo$30b2obo2bo2bobo18b2obo2bo2bobo$
12bo7bo18bobo27bobo$34b2obo26b2obo$12bo3bobobo15b2o28b2o$36b3o27b3o$
38bo2b2o25bo2b2o$40bo29bo3$189bo$188bobo$188bobo$188bo2$188bobo2$186b
3o$148bobobo3bobobo24bo$184b2obo$148bo7bo3bo27bo$35b3o23bo126bo$33b2o
3bo21bobo85bobobo3bobobo22bobo$31bo27b2o119bob2o$29b2o3bo3bo22bo90bo7b
o17b2ob2o$31bo2bo3bo22bo116b2ob2o$8bo3bo3bobobo12b2o113bobobo3bobobo
20bo$34bo3bo21b2o107bob2o6bobo$8bo3bo3bo17bo3bo19b2o109bo3b2o$34b3o19b
2o2bo108bob2o6bobo$8bobobo3bobobo35b3o115b3ob2obo$34b3o8bo2b2o9b2o114b
ob2o138b2o$12bo3bo3bo13bo3bo6b2o2bo267b4o$34bo3bo6bo3b3o2b3o119bobo95b
obobo3bobobo23bo5bo3bo$12bo3bobobo12b2o14b2obo2b2o121b2obo128b2ob2o2bo
$31bo2bo3bo11bo130bo92bo7bo3bo19bobo2bo2bo3bobo$29b2o3bo3bo12b2o250bo
2bo7b3o3bo$31bo20bo3bo217bobobo3bo3bo14b2o3b2o14bo$33b2o3bo14bo2bo246b
o2b2o10bo2bo4b3o$35b3o16bobo217bo3bo3bo3bo18bo2bo7b2o3bo2bob3o$306b2o
6bo8b2o$274bobobo3bobobo27bo11bo$314bobo10bobo$328bo3$172bobo29bobo$
170b2o3b2o27bo3bo$170bobo31bo4b2o$172bo33bo3bo2b2o$169bo37b2o3bo$169b
2o3bo$148bobobo4bo19b2o24b4o$172b2o3bo23b2obo2bo$148bo8bo15bobo4b2o19b
4o2bo$30b2o29b2o110b7obo23bo$8bo3bo3bobobo8b3o20bo7b3o85bobobo4bo14bo$
30bo20bo9bo15b2o94b7obo17b3o$8bo3bo7bo10b2ob2o15b2o9b2ob2o10b3ob2obo
63bo3bo4bo15bobo4b2o17b3o$36bo5bo6bo17bo5bob3o6bo87b2o3bo10bo2b2o$8bob
obo7bo10b2o7bobob3o6bo8b2o7bobo6bo67bobobo4bo19b2o9b2o2bo$32bo6bobo4b
3ob2obo9bo6bobo9b2o85b2o3bo13bo3b3o2b3o$12bo7bo12bo2bo9b2o16bo2bo14bo
86bo22b2obo2b2o$34bobobob2o23bobobob2o10bo88bo20bo$12bo7bo12b2o3bo25b
2o3bo100bobo21b2o$35bo30bo103b2o3b2o18bo3bo$172bobo21bo2bo$197bobo11$
34bo146bo$34b2o143b2o96b2o31b2o$34bo146bo94bo32bo5bo$36bo146bobo15bo3b
2o27bo3b2o35b2ob3o27b2ob3o2b2o$36bo145bo2bo13bo2b2obobo24bo2b2obobo31b
7obo2b2o20b7obo105b2o34b2o$35b2o18bo126bo2bo11b3o6bo3bo19b3o6bo3bo5bo
22bo3bo5bo22bo3bo108bobo4bo28bobo$53b2o127bobo11bobo7b7obo14bobo7b7obo
2b2o15bo3bobo26bo3bobo35bo35bo36bo2bob2obobo25bo2bob2obobo$37bo17bo
128bo11bob2o9b2ob3o2b2o10bob2o9b2ob3o17bo2b2ob2o25bo2b2ob2o32bo3bo31bo
3bo39b2o3bobo28b2o3bobo$8bo3bo3bobobo15bobo9bo8bobo88bobobo3bobobo34bo
4bo9bo5bo11bo4bo9bo19b3o30b3o30b3o4bobo2bo23b3o4bobo2bo36b2obo32b2obo
7bo$35b4o9b2o6bo2bo121bobo10b2o15b2o14b2o15b2o16bobo30bobo26bo2b2o4b2o
bobo3b2obo14bo2b2o4b2obobo3b2obo7bo20bo2bo32bo2bo$8bo3bo3bo3bo10b2o2bo
12bo7bo2bo88bo11bo16b3ob2obo77bob2o29bob2o25b2o7bo12b2o3bobo6b2o7bo12b
2o3bobo11b3o4bobo3bo22b3o4bobo3bo$31b2obobo13bo5bobo119bob2obo9bo4b2o
26bo4b2o28bo4bo27bo4bo24bo3bo6b3o5bo2bob2obobo6bo3bo6b3o5bo2bob2obobo
6bo2b2o4b2obobo3bo17bo2b2o4b2obobo3bo$8bobobo3bobobo10b2o2bo14bo7bo89b
obobo3bobobo14bo2bobo16bo32bo29b2o31b2o34b2o4bo2bo7bobo4bo11b2o4bo2bo
7bobo11b2o7bo26b2o7bo$30b2o17b2o122bo2bo2b2o13b3o30b3o104b2o2bo8b2o21b
2o2bo8b2o11bo3bo6b3o22bo3bo6b3o$12bo3bo3bo8bo17bo2bo2bobo92bo3bo3bo15b
o2bo2bo17bo32bo29bo4b2o26bo4b2o32b3o4bo28b3o4bo26b2o4bo2bo26b2o4bo2bo$
29bo5bo9b2o6bob2o115bo3bob3o16bo32bo32bo32bo41bo35bo31b2o2bo31b2o2bo$
12bo3bobobo9bob3o12bo5b4o91bobobo3bobobo12b3obo2bo15b2o31b2o29b3o30b3o
41b2o34b2o28b3o4bo28b3o4bo$35bo13b4o120bobo21bo32bo31bo32bo39bo2b2o31b
o2b2o34bo35bo$32b4o18bo3bo113b2o23b2o31b2o31bo32bo36b2o34b2o38b2o34b2o
$32bo2bo18b5o135bo2b2o28bo2b2o30b2o31b2o38bo35bo35bo2b2o31bo2b2o$35bo
19b2o112b2o3bo17b2o3bo27b2o3bo32bo32bo108b2o34b2o$34bo134bo24bo32bo35b
2o31b2o109bo35bo$34bobo135bo87bo2b2o28bo2b2o$34bobo133bobo85b2o3bo27b
2o3bo$35bo134b2o3b2o83bo32bo$172bobo7$191bo$190bobo$190bobo$67bo122bo$
40b2o24bobo$39bo26bobo121bobo23bo36bo$39b2o25bo148bobo34bobo$39b2o147b
3o24bobo34bobo$34b4obo26bobo118bo27bo36bo$31bob3o150b2obo$8bobobo3bobo
bo9b2o7b2o23b3o81bobobo3bobobo29bo24bobo34bobo$63bo126bo$8bo7bo3bo9bob
2obo26b2obo82bo11bo24bo27b3o3b3o28b3o3b3o$30b2o3bo30bo117b2obo24bo5bo
3b2o25bo5bo3b2o$8bobobo3bo3bo14bo30bo81bobobo3bobobo50b2obo3bo29b2obo
3bo10bo$30b2o29bo139bob2o10bo3bo4bobo11bob2o10bo3bo4bob2obo$12bo3bo3bo
9bo29b2obo84bo3bo7bo22bobo13b2o3bo10bo5b2obob2obo6b2o3bo10bo5b2obobo$
30b3o17bob2o126bob2o17bobo6bobo16bo8bobo6bobo$8bobobo3bobobo10b2o3bo
11b2o3bo94bobobo3bobobo17b2ob2o22b3ob2o31b3ob2o$37bo12bobo6bobo116b2ob
2o22b2ob2o32b2ob2o$34b2o18b3ob2o121bo25bobo34bobo$33bob2o17b2ob2o110bo
b2o6bobo26b3o34b3o$33b2o21bobo110bo3b2o33b4o33b4o$29bobo25b3o109bob2o
6bobo29bo36bo$29bo27b4o113b3ob2obo$29bobo28bo114bob2o2$176bobo$178b2ob
o$181bo7$32bo3bo$31bob2obo$31bobo143bo$32bo142bo2b2o$30b2o141b3o68bo
326bobo$30b2o140bobo60b3o4bobo329bo17bob2o7bo28bobo$34bob2o134bob2o44b
o9bo2b2o4b2obobo33bo36bo36bo36bo36bo36bo36bo36bo31b2obob5o11b2o3bo4b2o
3bo25bo2bo$33b2o9bobo25bobo96bo4bo41b2o10b2o7bo29b3o4bobo27b3o4bobo27b
3o4bobo27b3o4bobo27b3o4bobo27b3o4bobo27b3o4bobo9bo17b3o4bobo9bo20b2o4b
3o15bobo3b3o2bobo6bo19bo12b2o$8bobobo4bo26bo27bo75bobobo3bo3bo9b2o38bo
9bo9bo3bo6b3o20bo2b2o4b2obobo22bo2b2o4b2obobo22bo2b2o4b2obobo22bo2b2o
4b2obobo22bo2b2o4b2obobo9bo12bo2b2o4b2obobo9bo12bo2b2o4b2obobo9b2o4bo
6bo2b2o4b2obobo9b2o12bo34b3o2bo3bo6b2o19b2o10b2o$33b2obo7bobo2bo2bo19b
obo2bo2bo120b3o4bobo11bo12b2o4bo2bo19b2o7bo27b2o7bo27b2o7bo27b2o7bo27b
2o7bo14b2o4bo6b2o7bo14b2o11b2o7bo10b2obobo2b3o6b2o7bo10b2obobo2b2o6b2o
3b3o2bo9bo16b3o13bo7bob2o9bobo9bo$8bo8bo15b2obo10bo27bo72bo7bo3bo8bo4b
2o20bo2b2o4b2obobo10bo18b2o2bo19bo3bo6b3o23bo3bo6b3o23bo3bo6b3o23bo3bo
6b3o23bo3bo6b3o6b2obobo2b3o6bo3bo6b3o6b2obobo2b2o7bo3bo6b3o6b3o2bo2b2o
7bo3bo6b3o6b3o2bo2b3o7bo2bo4bo7b2o2bo32bo5bo3b2o5bobo8bo2bo$35bo12bob
2obo22bob2obo91bo22b2o7bo8b3o4bobo13b3o4bo4bo3bo15b2o4bo2bo27b2o4bo2bo
27b2o4bo2bo4bo22b2o4bo2bo4bo22b2o4bo2bo5b3o2bo2b2o12b2o4bo2bo5b3o2bo2b
3o11b2o4bo2bo3b2o2bo19b2o4bo2bo3b2o2bo7bo9b3o10b3o3bo16bo9bo4bo5bob2o
6bo2b4o2bo4bo$8bobobo4bo14bo2b2o12b3obo23b3obo66bobobo3bobobo9b3o23bo
3bo6b3o11b2o21bo3bobobobo19b2o2bo4bo27b2o2bo4bo27b2o2bo3bobo26b2o2bo3b
obo26b2o2bo3b2o2bo24b2o2bo3b2o2bo7bo16b2o2bo32b2o2bo29bo11bo14b2o6b3o
3b4ob2o10b3obo5b2o2b2ob3obo$33b3o12bo4bo2bob2o16bo4bo2bob2o84bo28b2o4b
o2bo2bo2bobo3bo20b2o2bo2bobo3bo14b3o4bo3bobo23b3o4bo3bobo23b3o4bo29b3o
4bo29b3o4bo29b3o4bo29b3o4bo3bobo23b3o4bo3bobo22b2obo3bobo3bo3bo11bobob
o2bo4bo6bo11bob2o5b3o6b2o$12bo4bo27bo3b2o3bob4o13bo3b2o3bob4o60bo3bo7b
o13bo31b2o2bo3bobobobo20bo2b2o9b2o21bo36bo36bo3b2o2bo28bo3b2o2bo7bo20b
o3bobo30bo3bobo30bo4bo31bo4bo24b4o3b2o3bo3bo11bo4bo3bo2bo5bo$32bo12b2o
2bo2bob2o4bo12b2o2bo2bob2o4bo4bo80bo28b3o4bo4bo3bo19b2o7b3o4bobo19b2o
3b2o2bo27b2o3b2o2bo7bo19b2o5b3o2bo2b2o20b2o5b3o2bo2b3o19b2o4bo30b2o4bo
30b2o35b2o30b4ob2o6bobo11bo3bo6b2obo2bo14bobo7bo$8bobobo4bo14b2o11bo8b
2o4bo2b2o8bo8b2o4bo2b3o54bobobo7bo12bo8b2o26bo30bo13bo19bo2b2o4b3o2bo
2b2o18bo2b2o4b3o2bo2b3o17bo2b2o4b2obobo2b3o17bo2b2o4b2obobo2b2o18bo2b
2o32bo2b2o32bo2b2o32bo2b2o36b2o19bo9bo22b2obob3o$31bo2b2o14b2o3b2o3bo
2b3o12b2o3b2o3bo2b2o80bobo6b4ob3o19b2o45bo16b2o9b2obobo2b3o15b2o9b2obo
bo2b2o16b2o13b2o4bo15b2o13b2o20b2o35b2o35b2o35b2o63bo34bo$33bobo29bo
107bo2b3o6bobo19bo2b2o42bo20bo12b2o4bo17bo12b2o22bo12bo23bo12bo23bo36b
o36bo36bo$29b2o3bo143bo3bo4bo17b2o45b2o34bo36bo$30b3o144bob3obobob3o
17bo46bo$31b2o145b2o2b4o$34bo147bo2bo$32bobo$33bo9$30bo$30b2o2b2o266bo
27bo$30bo2bo268b2o24b2o$33bo268bo27bo$178bo31bo31bo31bo29bo27b4o$33b3o
140bo2b2o27bo2b2o27bo2b2o27bo2b2o27bo28bo2bo$34bo139b3o29b3o29b3o29b3o
30b2o29b2o$31bobo139bobo29bobo29bobo29bobo63b2o$30bo14bo127bob2o28bob
2o28bob2o28bob2o32bo24bobo$8bobobo3bobobo9bo3bo8b2o17bobo83bobobo3bobo
bo11bo4bo26bo4bo26bo4bo26bo4bo30bobo23bobo$29b2obobo10bo10b2o2b2o2bo
106b2o30b2o30b2o30b2o34b4o22bo2bo$8bo11bo11bo3bo10b5o3b3o6bo83bo7bo95b
o31bo14b2o2bo26b2o$31b2ob2o12bo4bo4bobo109bo4b2o25bo4b2o25bo4b2o9b2o6b
o7bo4b2o9b2o15b2obobo30bo$8bobobo3bobobo10b2obo13bo4bob3o2bo87bobobo3b
obobo13bo31bo31bo9bo4bob2obo11bo9bo4bobo11b2o2bo26b3o2b2o$34b2o12bo4bo
6b2o109b3o29b3o29b3o9b3o3bobo11b3o9b3o3bob2obo7b2o30bob5o$12bo7bo9bo3b
2o11b2obo3b3o3b3o85bo3bo7bo12bo31bo31bo8bo4bo17bo8bo4bo6bo6bo32bobo$
34bo14bo4b3o117bo4bob3o22bo4bob3o22bo4bob2obo21bo4bob2obo16bo5bo26bo2b
o$8bobobo3bobobo10b3o17b2o2b2o91bobobo3bobobo12b2ob2obob2obo20b2ob2obo
b2obo20b2ob2obob3o21b2ob2obob3o18bob3o6b2obobo15bo$33bo18b2o118bo3bo5b
o4bo16bo3bo5bo4bo6bo9bo3bo27bo3bo30bo3bo4bob2obo14b2o$34bo137b4o7b3o3b
obo12b4o7b3o3bob2obo9b4o28b4o28b4o2bo10bo$33b2o134bo3b2o9bo4bob2obo6bo
3b2o9bo4bobo9bo3b2o26bo3b2o29bo2bo2bo3b2o19b2o$34bo134b2o15b2o6bo6b2o
15b2o13b2o30b2o36bo3b3o20bobo$34b2o133bo18bo12bo18bo12bo31bo36bo26b2o
3bo3bo$31bo2b2o266bobo20bo3b2obo3bo2b2o$29b2o3bo267bobo20b2o2bo4b3o$
31bo271bo21bo2b2o8$31bo$29b2o$31bo$33bobo$32bo2bo$32bo2bo$32bobo25bobo
$34bo25bo3bo204bo$32b2o26bo4b2o12b2o129bo32bo25b2ob2o$32b2o28bo3bo2b2o
7b3o5bobo4b2o84b2obo18b3o4bobo23b3o4bobo21bobo2bo$8bobobo3bobobo15bob
2o23b2o3bo10bo6bo7bo2bo50bobobo3bobobo14b3obob3o12bo2b2o4b2obobo8b2obo
6bo2b2o4b2obobo18bo2bo6bo3bo$35b2o43bo5bo2b3o5bo73bobo10bo3b2o6b2o7bo
12bob3o6b2o7bo21b2o3b2o9b2o$8bo7bo42b4o18b2o5bo5bo2bo50bo7bo12b2o4b2o
5bo3b4o6bo3bo6b3o8b2o9bo3bo6b3o19bo2b2o4b2obo$35b2obo18b2obo2bo16b3o
10b2o76bob2o2bo4b3obo14b2o4bo2bo6bobo14b2o4bo2bo6b2o12bo2bo2bo3bo5bo2b
2o$8bobobo3bobobo14b2obo18b4o2bo13bo2b2o4b2o60bobobo3bobobo16bo4bo23b
2o2bo3b3ob3o18b2o2bo4b3obo12b2o7bo5bo2b3o$37bo8bo2b2o10bo15b2o4b2o86bo
b2o2bo4b3obo16b3o4bo3bo4bo16b3o4bo3bo4bo17bo4b2o3bo4bo$12bo7bo13bo2b2o
7b2o2bo26bo3b2obo2bo60bo3bo3bo3bo8b2o4b2o5bo3b4o20bo4b3obo23bo3b3ob3o
15b2o4bob3o$35b3o8bo3b3o2b3o23b3o87bobo10bo3b2o19b2o6b2o23b2o6bobo11bo
b2o3bo4b4o$8bobobo3bobobo29b2obo2b2o23b2ob2obobo58bobobo3bobobo14b3obo
b3o23bo2b2o28bo2b2o6b2o11bo3b2o2b2o3bo$34bo16bo33bo3bo89b2obo22b2o31b
2o11bob3o8bob2o$34b2o16b2o31bo121bo32bo11b2obo$33bo2b2o15bo3bo$35bobo
16bo2bo$31b2o3bo18bobo$32b3o$33b2o$36bo$34bobo$35bo34$861bo$860bobo$
859b2o$861bo$827bobo31bo$572bo31bo94bo32bo35bo38bo19bo$47b2o523b2o4bo
25b2o92bobo30bobo33bobo36bobo18bo2bo28b2obo$47b2o382bo44bo26bo31bo32b
2obobo2b3o21b2obobo2b2o23bo32bo30b2o31b2o35bobo36bobo20bo3bo24b3o$47bo
203bo44bo132b2o6bo36b2o23bo2bobo26bo2bobo31b3o2bo2b2o22b3o2bo2b3o21bob
o30bobo31bo32bo34bo38bo24bobo24bo3bo$44bo2bo201b2o6bo36b2o36bob3o40bob
3o45bo4bob2obo34bo4bobo16b4o28b4o34b2o2bo27b2o2bo7bo20b2o31b2o33bo32bo
96b2o27bob2o$41bo4bo98bobobo40bobobo52bo4bob2obo34bo4bobo25bobob2obob
2obo32bobob2obob2obo43b3o3bobo36b3o3bob2obo13b3o3b2o2bo21b3o3b2o2bo7bo
16bo31bo37bo32bo100bobo36bobo20b3o$37b2o2b2ob3obo94bo3bob2obob3o31bo3b
ob2obob3o44b3o3bobo36b3o3bob2obo20bo3bobo5bo4bo27bo3bobo5bo4bo6bo32bo
4bo39bo4bo6bo10b2o2bo6b3o2bo2b2o11b2o2bo6b3o2bo2b3o13b4o2bobo23b4o2bob
o32bo32bo31b2o31b2o125bo2bo$8bobobo3bobobo15bo2bo6b2o21b2o35b2o34bo9bo
b2obo29bo9bob2obo32bobobo5bo4bo29bobobo5bo4bo6bo19bo13b3o3bobo22bo13b
3o3bob2obo29bob2obo39bob2obo19bo3b2o6b2obobo2b3o9bo3b2o6b2obobo2b2o14b
3o4bo24b3o4bo96b2o31b2o34b3o3b3o30b3o3b3o16b2o26b2o13bo$29b4obo25bo3b
3o2b3o25bo3b3o2b3o32bo3b2o8bo4bo25bo3b2o8bo4bo6bo20bo3bob2obob2obo30bo
3bob2obob2obo28bo3b2o10bo4bob2obo18bo3b2o10bo4bobo25bobob2obob3o33bobo
b2obob3o23b3o10b2o4bo12b3o10b2o15b2o2bo27b2o2bo38b2o31b2o27b2o2bo28b2o
2bo32bo5bo3b2o27bo5bo3b2o14b2o3bo18bo3b2o11b2o22bo$8bo11bo8bo2b4obo20b
2obo4bo2b2obobo4bo15b2obo4bo2b2obobo4bo24bob2o11b3o3bobo21bob2o11b3o3b
ob2obo19bo9bob3o30bo9bob3o29bob2o14b2o6bo18bob2o14b2o27bo3bobo38bo3bob
o26bo2bo13bo14bo2bo13bo15bo3b2o26bo3b2o36b2o31b2o29b3o30b3o33b2obo3bo
31b2obo3bo10bo16b2o14bo18bo19b2obo$55bobob2o3b2o5b3o6bo11bobob2o3b2o5b
3o6bo12b2ob2o7bo14bo4bob2obo7b2ob2o7bo14bo4bobo21bo3b2o39bo3b2o28b2ob
2o7bo18bo13b2ob2o7bo18bo25bo44bo34b2o30b2o33b3o29b3o34b2o2bo28b2o2bo
17bo2b2o9b2o17bo2b2o9b2o35bo3bo4bobo27bo3bo4bob2obo11b2o3bo14b2o2bo17b
o5b3o7b2o3bo$8bobobo7bo8b3o23bo7bo3b3obo3b4obo11bo7bo3b3obo3b4obo4bo6b
3o8bo18b2o6bo6b3o8bo18b2o25bob2o41bob2o29b3o8bo33b3o8bo45bo3b2o39bo3b
2o30bobobo27bobobo26bo2bo28bo2bo37b3o30b3o19b2o2bo28b2o2bo46bo5b2obob
2obo24bo5b2obobo15bobo4b2o11bob2o16bo5bo10b2obo$55bo4b2ob2o4bo4b2o3b3o
bobo6bo4b2ob2o4bo4b2o3b3obobo7b2obo2bo2bobo19bo13b2obo2bo2bobo19bo13b
2ob2o7bo32b2ob2o7bo32b2obo2bo2bobo33b2obo2bo2bobo44bob2o41bob2o32bo3bo
27bo3bo27b2o30b2o27bo2b2o9b2o17bo2b2o9b2o17bo3b3o2b3o21bo3b3o2b3o34bo
18bo19bo31b7obo11bob2o16bobo3bo3b2o2b2o4b2o$8bo3bo7bo8bo2b4obo19b2obob
o11bo8bobo8b2obobo11bo8bobo16bobo42bobo32b3o8bo33b3o8bo43bobo42bobo33b
2ob2o7bo32b2ob2o7bo34bo31bo31bobobo27bobobo24b2o2bo28b2o2bo32b2obo2b2o
25b2obo2b2o33b2obo35b2obo28bo20bob2o16bobobo3bo4b2ob2o3b3obo$29b4obo
26b2o22bo12b2o34b2obo41b2obo37b2obo2bo2bobo33b2obo2bo2bobo37b2obo41b2o
bo36b3o8bo33b3o8bo37bo31bo30bo3bo27bo3bo24bo3b3o2b3o8b2o11bo3b3o2b3o8b
2o16bo32bo29bob2o35bob2o39b7obo10b2o2bo20b5obo2bob3o4bobo$8bobobo7bo
15bo2bo6b2o14b4o33b4o33b2o43b2o46bobo42bobo39b2o43b2o37b2obo2bo2bobo
33b2obo2bo2bobo40bobo29bobo24bo31bo32b2obo2b2o7bobo4bo10b2obo2b2o7bobo
17b2o31b2o25b2o3bo33b2o3bo39bobo4b2o11bo19bo10bo$37b2o2b2ob3obo15bo36b
o34b3o42b3o40b2obo41b2obo43b3o42b3o45bobo42bobo37b2o3bo26b2o3bo25bo31b
o32bo10bo2bob2obobo11bo10bo2bob2obobo13bo3bo3bo24bo3bo3bo19bobo6bobo
27bobo6bobo30b2o3bo15bo3b2o13bo4b2o$41bo4bo91bo2b2o40bo2b2o38b2o43b2o
45bo2b2o40bo2b2o36b2obo41b2obo40bobo3bo25bobo3bo29bobo29bobo27b2o11b2o
3bobo12b2o11b2o3bobo14bo2bo3bo25bo2bo3bo23b3ob2o33b3ob2o37b2o18b2o14bo
2bo2bo$44bo2bo92bo44bo40b3o42b3o46bo44bo40b2o43b2o40b2obo28b2obo29b2o
3bo26b2o3bo28bo3bo3b2obo21bo3bo3b2obo7bo15bobo2bo27bobo2bo24b2ob2o34b
2ob2o30b2o3bo23bo2bo11b3obobo$47bo180bo2b2o40bo2b2o128b3o42b3o35bobo
29bobo33bobo3bo25bobo3bo29bo2bo2bo26bo2bo2bo33b2obo29b2obo7bo14bobo36b
obo30bo49bo$47b2o181bo44bo132bo2b2o40bo2b2o31bo31bo35b2obo28b2obo33bob
o3bo26bobo3bo36b2o3bobo25b2o3bobo15b3o36b3o32bo25bob2o$47b2o361bo44bo
33bobo29bobo29bobo29bobo44bo32bo33bo2bob2obobo22bo2bob2obobo15b4o35b4o
29bobo25bo3bo$553bo31bo116bobo4bo25bobo23bo38bo29b2o3b2o21b3o$553bobo
29bobo115b2o31b2o94bobo24b2obo2$861bo$861bo$859b2o$860bobo$861bo6$63bo
$61b2o$38bo24bo$36b2o27bobo$38bo25bo2bo18bobo4b2o$40bobo21bo2bo18bo7bo
2bo11b2o26b2o$39bo2bo21bobo19bo2b3o5bo10b3o25b3o43bo64bo$39bo2bo23bo
21bo5bo2bo11bo27bo42b2o37bo18b3o4bobo$39bobo51b2o15b2ob2o23b2ob2o39bo
34b2o14bo2b2o4b2obobo$35bo5bo21bobo17bob2obo26bo27bo40b5o21bo8bo13b2o
7bo$8bobobo3bobobo8bo3bo2bo22b3ob2obo15b3o4bo20b2o26b2o34bo10bo3bo11b
3o4bobo10b5o7bo3bo6b3o$29b2o2bo4bobo19bob2obo22bo22bo2bo24bo2bo22b3o4b
obo4b2o3bo4bo6bo2b2o4b2obobo11bo3bo11b2o4bo2bo$8bo7bo3bo8bo3bo2b4obo
15bo2bobo19b2o29bo27bo18bo2b2o4b2obobo2b2o6bobo8b2o7bo10b2o3bo4bo16b2o
2bo$37b2obo14bo2bo2b2o16b5obo18bobo4bo20bobo4bo20b2o7bo13b2o11bo3bo6b
3o4b2o6bobo15b3o4bo4bo3bo$8bobobo3bobobo13b2o18bo2bo2bo16b2ob2obo20bo
27bo27bo3bo6b3o3bobob2o18b2o4bo2bo9b2o25bo3bobob2o$34b2o18bo3bob3o14bo
3bobobo18bobo2bo2bo19bobo2bo2bo24b2o4bo2bo3bo3bo23b2o2bo3bobob2o26b2o
9b2o$8bo3bo3bo3bo16b2obo14b3obo2bo14b2obob2obo21bo27bo34b2o2bo28b3o4bo
4bo3bo24bo2b2o2b2o6bobo$29bo3bo2b4obo13bobo22b2o26bob2obo22bob2obo25b
3o4bo35bo31b2o9b2o3bo4bo$8bobobo3bobobo8b2o2bo4bobo13b2o21b3o29b3obo
23b3obo32bo34b2o33bo14bo3bo$29bo3bo2bo41bo29bo4bo2bob2o16bo4bo2bob2o
25b2o32bo2b2o46b5o$35bo5bo9b2o3bo17b2o29bo3b2o3bob4o13bo3b2o3bob4o23bo
2b2o29b2o49bo$39bobo9b2o21b2o29b2o2bo2bob2o4bo12b2o2bo2bob2o4bo4bo15b
2o36bo46b2o$39bo2bo33bo28bo8b2o4bo2b2o8bo8b2o4bo2b3o17bo84bo$39bo2bo8b
3o21bobo32b2o3b2o3bo2b3o12b2o3b2o3bo2b2o$40bobo8b2o22bob2obo44bo$38bo
14bobo20bo3bo$36b2o13bo3bo$38bo10bo2bo$49bo$49bobo8$566bo$565bobo$564b
2o$177bo3bo22bo3bo357bo$176bob2obo21bob2obo12bo344bo$31bo3bo18bo3bo18b
o3bo94bobo13bobo8bobo13bobo$30bob2obo17bob2obo17bob2obo95bo10b3obobo9b
o10b3obobo28bo33bo228b2o5b2obo16bobo6bo14b2obo$30bobo20bobo20bobo96b2o
7b4obo4bo7b2o7b4obo28bo2b3o28bo2b3o98bo2b2o29bo2b2o90bo6bo2b2o16bo7bob
o12b3o$31bo22bo22bo97b2o7bo4bo12b2o7bo4bo28bo2b2o29bo2b2o99bo2b3o28bo
2b3o89b2o5bo20bo7bo14bo3bo$29b2o14bo6b2o21b2o14bo87bob2o5bo17bob2o5bo
25bo3bo29bo3bo40bo33bo24bo3bo4bo24bo3bo4bo89b2o6bo21bo3b2o15bob2o$29b
2o7bobob2obo6b2o7bobobo9b2o7bobob2obo86b2o5b2o18b2o5b2o26bob3o29bob3o
36bo2b3o28bo2b3o23bob3o29bob3o34bo2b2o29bo2b2o17b4obo3b2ob2o25b2obobo$
8bobobo3bobobo12b3o4bobo13b3o4bob2obo10b3o4bobo23b2o6bo29b2o6bo81bob3o
29bob3o36bo2b2o29bo2b2o24bob3o29bob3o34bo2b3o28bo2b3o13bob3o6b2o3bo21b
2o3bo2bo12bo2bo$32b2o21b2o11bo9b2o23bo3b3o2b3o26bo3b3o2b3o25b2obo23b2o
bo19bob2o8b3o19bob2o8b3o34bo3bo29bo3bo16bob2o8b3o19bob2o8b3o32bo3bo4bo
24bo3bo4bo12b2o7b2o3b2o21bo3b2o16b2o$8bo7bo3bo17b2o21b2o21b2o15b2obo4b
o2b2obobo5bo15b2obo4bo2b2obobo5bo16b2obo23b2obo19bo3b2o5b2o21bo3b2o5b
2o35bob3o29bob3o17bo3b2o5b2o21bo3b2o5b2o33bob3o29bob3o34b2o17b2o18bo3b
2o$32b6o17b6o17b6o14bobob2o3b2o5b3o7bo11bobob2o3b2o5b3o7bo17bo26bo20bo
b2o6bobo21bob2o6bobo35bob3o29bob3o17bob2o6bobo21bob2o6bobo33bob3o29bob
3o18bob2obo31bo17bo$8bobobo3bobobo11bo22bo22bo19bo7bo3b3obo3b5obo11bo
7bo3b3obo3b5obo4bo9bo2b2o22bo2b2o24b3obo29b3obo26bob2o8b3o19bob2o8b3o
24b3obo29b3obo24bob2o8b3o19bob2o8b3o20b2o3bo24bo8bobo12b2o2bo$32b6o17b
6o17b6o14bo4b2ob2o4bo4b2o4b3obobo6bo4b2ob2o4bo4b2o4b3obobo10b3o24b3o
26bob2o30bob2o26bo3b2o5b2o21bo3b2o5b2o27bob2o30bob2o24bo3b2o5b2o21bo3b
2o5b2o27bo24b2o6bo2bo13bob2o$8bo3bo7bo17b2o21b2o21b2o14b2obobo11bo9bob
o8b2obobo11bo9bobo130bob2o6bobo8bo12bob2o6bobo8bo80bob2o6bobo8bo12bob
2o6bobo8bo13b2o28bo7bo2bo13bob2o$32b2o21b2o11bo9b2o11bo12b2o23bo12b2o
33bo26bo30bobo31bobo31b3obo9b2o18b3obo9b2o6bo13bobo31bobo29b3obo9b2o
18b3obo9b2o6bo7bo31bo5bobo14bob2o$8bobobo3bobobo12b3o4bobo13b3o4bob2ob
o10b3o4bob2obo13b4o34b4o30b2o25b2o31b2obob3o26b2obob3o25bob2o7bo4bobo
15bob2o7bo4bob2obo15b2obob3o26b2obob3o23bob2o7bo4bobo15bob2o7bo4bob2ob
o7b3o29bo7bo13b2o2bo$29b2o7bobob2obo6b2o7bobobo9b2o7bobobo18bo37bo30bo
2b2o22bo2b2o32bob2obo28bob2obo34b3o3bob2obo22b3o3bobo21bob2obo28bob2ob
o32b3o3bob2obo22b3o3bobo11b2o3bo24b2o22bo4bo$29b2o14bo6b2o21b2o101bobo
24bobo35bo4bo6bo21bo4bo22bobo5bo4bo6bo13bobo5bo4bo28bo4bo6bo21bo4bo20b
obo5bo4bo6bo13bobo5bo4bo21bo21bo2bo2bobo17bo3b3o$31bo22bo22bo96b2o3bo
21b2o3bo37b3o3bob2obo22b3o3bobo20b2obob2obo25b2obob2obo32b3o3bob2obo
22b3o3bobo18b2obob2obo25b2obob2obo21b2o21b2o6bob2o21b2o$30bobo20bobo
20bobo96b3o24b3o40bo4bobo26bo4bob2obo20bob3o29bob3o34bo4bobo26bo4bob2o
bo18bob3o29bob3o21bob2o22bo5b4o$30bob2obo17bob2obo17bob2obo94b2o25b2o
42b2o32b2o6bo95b2o32b2o6bo78b2o26b4o26b3o$31bo3bo18bo3bo18bo3bo97bo26b
o42bo33bo103bo33bo80bobo34bo3bo20bobo$177bobo24bobo295bo36b5o18b2o$
178bo26bo296bobo35b2o21bobo$563bob2o$565b2o2$566bo$564b2o$564b2o$566bo
2$94bo$92bo2b2o$90b3o$89bobo13bo$89bob2o10b2o3bo$88bo4bo11bo2b2o$87b2o
19b2o$108bo$86bo4b2o14b2o$90bo17bo$34bobo4b2o20bobo4b2o15b3o15b3o$34bo
7bo2bo17bo7bo2bo14bo15b2o$34bo2b3o5bo17bo2b3o5bo16bo12bobo$8bobobo3bob
obo15bo5bo2bo19bo5bo2bo16bo12bob4o$29b2o10b2o15b2o10b2o18bo3b2o8bobo$
12bo3bo3bo7b3o3b2o21b3o3b2o25bobo16b2o$29b2obo4bo20b2obo4bo23bo3bo11b
3o$12bo3bo3bo11bo4bo23bo4bo27b2o9b2obo$94b2o9b2o2bo$12bo3bo3bo11b6o23b
6o23bo3bo10b2o2bo$36b2o2bobo22b2o2bobo18bobo13b2o$12bo3bobobo9bo2b2o5b
2ob2o14bo2b2o5b2ob2o16bo3b2o$28b2o3bob2ob2o17b2o3bob2ob2o10bo11bo16bo$
30bo3b2o3bo5bobo11bo3b2o3bo5bob2obo11bo16b3obo$35bo6b2obob2obo13bo6b2o
bobo12bo17bo2bo$39b2o9bo17b2o17b3o16b2o4bo$90bo14bo6bo$86bo4b2o12b2o4b
o$111bo$87b2o18b3o$88bo4bo12bo4b2o$89bob2o12b3o$89bobo14b2o$90b3o$92bo
2b2o$94bo!


Knightt has different speed restrictions than knight2 for different reasons. PERIOD and XMOVE must be relatively prime. This is due to the ordering of the phases in the monitoring of the search tree. When there is a common factor the ordering is ambiguous and I haven't written the code to handle this ambiguity. Currently the only speeds supported are 1/n and n/(2n+1). This is due to subtleties in the constraint propagation ordering that I haven't worked out for other speeds. This isn't a priority to fix as the first cases this applies to are 2/7 and 3/8 and the search trees are mostly dead in those cases and knight2 handles the raw searching fine. Also YMOVE being non-zero is incompatible with my search tree monitering.

Interestingly enough the speed of knightt is roughly equal to the speed of knight2. The benefit of having more constraints due to having more phases around roughly balances out the extra work that must be performed.

I have never run gfind, but based on several comments around the board it appears knightt is somewhat slower than gfind at the slower speeds (roughly a factor of 2) and somewhat faster at the faster spaceship speeds.

I am currently planning to research the structure of the spaceship trees (actually directed graphs) along the following lines:

knighty - search for ships extending the search orthogonal to the movement direction (fixed height and arbitrary width)

knightb - search for ships from the bottom

knightd - search for ships travelling diagonally from the top (fixed width)

knightdy - search for ships travelling diagonally extending orthogonally to direction of travel (fixed height)

After doing these I will write "knightcuda" and throw massive computational power at whatever path seems most promising.

Have a happy day,

-Tim Coe
moebius
 
Posts: 26
Joined: December 10th, 2015, 9:07 am

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