Small Spaceship Syntheses

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.
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dvgrn
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Re: Small Spaceship Syntheses

Post by dvgrn » July 1st, 2021, 9:10 pm

MathAndCode wrote:
July 1st, 2021, 6:02 pm
I have improved and further staged the Canada Grey synthesis.
...
I will make sure that stages of the parts that I edited all align (and split the synthesis into multiple rows) then submit my version to Catagolue.
Seems like we still need some slightly different tools for these mega-staged syntheses. Goldtiger997's original synth had all of the pieces aligned on precise boundaries, so that you could run the whole pattern, take the row of output, and XOR it with a shifted copy of the original pattern, and all that was left was gliders (almost, plus a couple of mismatches).

This new version has the line of incremental stages wandering all over the place, in both X and Y directions. So the XOR trick doesn't work at all, which makes it a lot harder to find out where the changes are and how many gliders have been saved.

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Goldtiger997
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Re: Small Spaceship Syntheses

Post by Goldtiger997 » July 6th, 2021, 9:33 am

Goldtiger997 wrote:
July 1st, 2021, 8:00 am
Once we synthesise the next-size-up greyship, I think we should have all the pieces to synthesise arbitrarily large greyships. Here's a final step for that greyship for reference:...
I've made some progress on the synthesis:

Code: Select all

x = 9859, y = 62, rule = B3/S23
30bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo
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85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo
13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo
85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo
13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo$29bobo11bobo83bobo11bobo
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83bobo11bobo83bobo11bobo83bobo11bobo83bobo11bobo83bobo11bobo$30bo13bo
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b2ob2ob3o87b3ob2ob2ob3o$33bobo3bobo91bobo3bobo91bobo3bobo91bobo3bobo
91bobo3bobo91bobo3bobo91bobo3bobo91bobo3bobo91bobo3bobo91bobo3bobo91bo
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91bobo3bobo91bobo3bobo91bobo3bobo91bobo3bobo91bobo3bobo91bobo3bobo91bo
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91bobo3bobo91bobo3bobo91bobo3bobo91bobo3bobo91bobo3bobo91bobo3bobo91bo
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91bobo3bobo91bobo3bobo91bobo3bobo91bobo3bobo91bobo3bobo91bobo3bobo91bo
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obo91bobo3bobo91bobo3bobo91bobo3bobo91bobo3bobo91bobo3bobo91bobo3bobo$
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97bobo97bobo97bobo97bobo97bobo97bobo97bobo97bobo$34b3ob3o93b3ob3o93b3o
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93b3ob3o93b3ob3o$33bo7bo91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo91bo
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91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo
91bo7bo91bo7bo91bo7bo$32bobo5bobo89bobo5bobo89bobo5bobo89bobo5bobo89bo
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91b2o5b2o91b2o5b2o91b2o5b2o91b2o5b2o91b2o5b2o91b2o5b2o91b2o5b2o91b2o5b
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190bo105bo2bo93bobo5b2o98b2o100bo99bo93bo5bo99bo99bo99bo99bo99bo99bo
99bo99bo99bo99bo99bo99bo94bo4bo99bo33b3o9bobo51bo99bo42bo56bo33bo2bo
62bo30b2o5bobo59bo30b2o67bo29bo69bo29bo69bo29bo69bo29bo5bobo61bo29bo7b
o61bo29bo69bo29bo69bo29bo6bo62bo29bo69bo29bo69bo29bo69bo29bo69bo29bo
51b2o16bo29bo69bo29bo69bo29bo69bo29bo69bo29bo69bo29bo16b2o51bo29bo69bo
29bo69bo29bo69bo29bo69bo29bo69bo29bo69bo29bo69bo29bo69bo29bo69bo29bo
69bo29bo69bo29bo69bo29bo69bo29bo69bo29bo69bo29bo69bo29bo69bo29bo69bo
29bo69bo29bo69bo29bo69bo29bo69bo29bo69bo29bo69bo29bo69bo29bo69bo29bo
69bo29bo55b2o12bo29bo69bo29bo69bo29bo69bo29bo69bo29bo69bo29bo69bo29bo
69bo29bo69bo29bo69bo29bo69bo29bo12b2o55bo29bo69bo29bo69bo29bo69bo29bo
69bo29bo69bo29bo69bo29bo69bo29bo69bo29bo69bo29bo69bo29bo69bo29bo69bo
29bo$18bo3b31o69b31o51b2o10b2o4b31o64b2o3b31o61bo7b31o69b31o70b30o70b
30o57bo3bobo6b30o70b30o70b30o70b30o70b30o70b30o70b30o70b30o70b30o70b
30o70b30o70b30o70b30o62bobo5b30o70b30o3bo66b30o70b30o4b2o10b2o52b30o3b
2o65b30o7bo62b30o70b29o71b29o71b29o71b29o6b2o63b29o8bobo3bo56b29o71b
29o71b29o7bobo61b29o71b29o71b29o71b29o60bo10b29o56b3o12b29o71b29o71b
29o71b29o71b29o10bo60b29o12b3o56b29o71b29o71b29o71b29o71b29o71b29o71b
29o71b29o71b29o71b29o71b29o71b29o71b29o71b29o71b29o71b29o71b29o71b29o
71b29o71b29o71b29o71b29o71b29o71b29o71b29o71b29o71b29o71b29o55bobo13b
29o71b29o71b29o71b29o71b29o71b29o71b29o71b29o71b29o71b29o71b29o13bobo
42bo12b29o71b29o12bo58b29o71b29o71b29o71b29o71b29o71b29o71b29o71b29o
71b29o71b29o71b29o$17bo4bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo61b2o6bo2bo2bo
2bo2bo2bo2bo2bo2bo2bo2bo50bobo5b3obo2bo3bo2bo2bo2bo2bo2bo2bo2bo2bo2bo
2bo69bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo69bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2b
o69bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo57b3o12bo2bo2bo2bo2bo2bo2bo2bo2bo2b
o72bo2bo2bo2bo2bo2bo2bo2bo2bo2bo55bobo4b2o11bo2bo2bo2bo2bo2bo2bo2bo2bo
75bo2bo2bo2bo2bo2bo2bo2bo2bo78bo2bo2bo2bo2bo2bo2bo2bo78bo2bo2bo2bo2bo
2bo2bo2bo81bo2bo2bo2bo2bo2bo2bo81bo2bo2bo2bo2bo2bo2bo84bo2bo2bo2bo2bo
2bo84bo2bo2bo2bo2bo2bo87bo2bo2bo2bo2bo87bo2bo2bo2bo2bo90bo2bo2bo2bo90b
o2bo2bo2bo93bo2bo2bo63b2o31bo2bo96bo2bo4bo91bo2bo6b2o88bo2bo3bo2bob3o
5bobo77bo2bo96bo2bo96bo2bo96bo12b3o84bo310b2o4bobo290b2o241bo8bo201bo
96bo109bo99bo99bo99bo40bo58bo43bo55bo33bo58bo6bo33bo65bo33bo65bo33bo
65bo33bo65bo33bo65bo33bo65bo33bo65bo33bo65bo33bo65bo33bo6bo58bo33bo65b
o33bo65bo33bo65bo33bo65bo33bo65bo33bo65bo33bo65bo33bo59bo5bo33bo65bo
33bo65bo33bo65bo33bo65bo33bo65bo33bo65bo33bo65bo33bo65bo33bo54bo10bo
33bo65bo33bo5bo59bo33bo65bo33bo65bo33bo65bo33bo65bo33bo65bo33bo65bo33b
o65bo33bo65bo33bo10bo45b2o7bo33bo64b2o33bo7b2o55b2o33b2o63b2o33b2o63b
2o33b2o63b2o33b2o63b2o33b2o63b2o33b2o63b2o33b2o63b2o33b2o63b2o33b2o63b
2o33b2o63b2o33b2o$113bobo89bo7bo2b2o394bo196b2o12b3o97b3o97b3ob2o94b6o
94b6ob2o91b9o91b9ob2o88b12o88b12ob2o85b15o85b15ob2o82b18o82b18ob2o79b
24o76b24o76b24o12bobo61b24o10b2o2bo7bo53b24o76b24o76b24o76b24o15bo60b
24o76b24ob2o7bobo63b24ob2o73b24ob6o12b2o55b24ob6o69b25obob3o69b27ob3o
69b27ob3o69b27ob3o49b2o7bo10b28obo68b30obo58b3o7b30obo56bo11b30obo67b
31obo67b31obo67b34o66b34o7b3o56b34o11bo54b35o52bo3bobo6b35o65b35o65b
35o65b35o65b35o65b35o65b35o65b35o65b35o65b35o6bobo3bo52b35o65b35o65b
35o65b35o65b35o65b35o65b35o65b35o57bobo5b35o65b35o65b35o65b35o65b35o
65b35o65b35o65b35o65b35o65b35o65b35o5bobo57b35o65b35o65b35o65b35o65b
35o65b35o65b35o65b35o65b35o55b2o8b35o63bob35o8b2o53bob35obo61bob35obo
61bob35obo61bob35obo61bob35obo61bob35obo61bob35obo61bob35obo61bob35obo
61bob35obo61bob35obo$115bo96bo97bobo198b2o98bo210bo2bo93b2obo2bo93b2ob
o2bob2o90b2obo2bo2bo90b2obo2bo2bob2o87b2obo2bo2bo2bo87b2obo2bo2bo2bob
2o84b2obo2bo2bo2bo2bo84b2obo2bo2bo2bo2bob2o81b2obo2bo2bo2bo2bo2bo81b2o
bo2bo2bo2bo2bo2bob2o78b2obo2bo2bo2bo2bo2bo2bo78b2obo2bo2bo2bo2bo2bo2bo
b2o75b2obo2bo2bo2bo2bo2bo2bo2bo2bo75bo2bo2bo2bo2bo2bo2bo2bo2bo75bo2bo
2bo2bo2bo2bo2bo2bo2bo12bo62bo2bo2bo2bo2bo2bo2bo2bo2bo15bo59bo2bo2bo2bo
2bo2bo2bo2bo2bo15bobo57bo2bo2bo2bo2bo2bo2bo2bo2bo75bo2bo2bo2bo2bo2bo2b
o2bo2bo15b2o58bo2bo2bo2bo2bo2bo2bo2bo2bo16bo58bo2bo2bo2bo2bo2bo2bo2bo
2bo75bo2bo2bo2bo2bo2bo2bo2bo2bob2o7b2o63bo2bo2bo2bo2bo2bo2bo2bo2bobobo
8bobo60bo2bo2bo2bo2bo2bo2bo2bo2bobo2bo2bo67bo2bo2bo2bo2bo2bo2bo2bo2bob
o2bo2bob2o64bo2bo2bo2bo2bo2bo2bo2bo2bob2obo2bob2o64bo2bo2bo2bo2bo2bo2b
o2bo2bo2bobo2bob2o64bo2bo2bo2bo2bo2bo2bo2bo2bo2bobo2bo67bo2bo2bo2bo2bo
2bo2bo2bo2bo2bobo2bo47b2o6b3o9bo2bo2bo2bo2bo2bo2bo2bo2bo2bob2o68bo3bo
2bo2bo2bo2bo2bo2bo2bo2bob2o68bo3bo2bo2bo2bo2bo2bo2bo2bo2bob2o67bo4bo2b
o2bo2bo2bo2bo2bo2bo2bob2o72bo2bo2bo2bo2bo2bo2bo2bo2bob2o72bo2bo2bo2bo
2bo2bo2bo2bo2bob2o72bo2bo2bo2bo2bo2bo2bo2bo2bo3bo71bo2bo2bo2bo2bo2bo2b
o2bo2bo3bo71bo2bo2bo2bo2bo2bo2bo2bo2bo4bo70bo2bo2bo2bo2bo2bo2bo2bo2bo
55bobo4b2o11bo2bo2bo2bo2bo2bo2bo2bo2bo75bo2bo2bo2bo2bo2bo2bo2bo2bo78bo
2bo2bo2bo2bo2bo2bo2bo78bo2bo2bo2bo2bo2bo2bo2bo81bo2bo2bo2bo2bo2bo2bo
81bo2bo2bo2bo2bo2bo2bo84bo2bo2bo2bo2bo2bo84bo2bo2bo2bo2bo2bo87bo2bo2bo
2bo2bo87bo2bo2bo2bo2bo11b2o4bobo67bo2bo2bo2bo2bo87bo2bo2bo2bo90bo2bo2b
o2bo90bo2bo2bo93bo2bo2bo93bo2bo96bo2bo96bo75b2o22bo99bo99bo99bo99bo99b
o99bo99bo99bo73bo25bo99bo22b2o75bo99bo99bo99bo99bo99bo99bo99bo99bo25bo
73bo80bo18bo80bo18bo18bo61bo18bo18bo61bo18bo18bo61bo18bo18bo61bo18bo
18bo61bo18bo18bo61bo18bo18bo61bo18bo18bo61bo18bo18bo61bo18bo18bo61bo
18bo18bo$311b2o2b2o195b2o308b2o95bob2o96bob2o96bob2o96bob2o96bob2o96bo
b2o96bob2o96bob2o96bob2o96bob2o96bob2o96bob2o96bob2o99b2o98b2o98b2o98b
2o34b2o2b2o58b2o98b2o37b2o59b2o98b2o98b2o34bo63b2o25b2o8b2o61b2o29b2o
67b2o30b2obo64b2o30b2obo64b2o30b2obo64b2o29b2o67b2o26bo2b2o67b2o98bo
99bo97b3o97b3o97b3o97b3o29bo67b3o29bo67b3o29b3o65b3o29b3o51b2o12b3o29b
3o65b3o29b3o65b3ob2o26b3o65b6o26b3o65b6ob2o23b3o65b9o23b3o65b9ob2o20b
3o65b12o20b3o65b12ob2o17b3o65b15o17b3o12b2o51b15o17b3o65b15o14b2ob3o
65b15o14b6o65b15o11b2ob6o65b15o11b9o65b15o8b2ob9o65b15o8b12o65b15o5b2o
b12o65b15o5b15o65b15o5b15o63b17o5b15o63b3ob13o5b15o63b4obob10o5b15o63b
6ob10o5b15o63b7obob7o5b15o63b9ob7o5b15o63b10obob4o5b15o56b2o5b12ob4o5b
15o64b11ob4o5b15o65b10ob4o5b15o65b10ob4o5b17o63b10ob4o5b13ob3o63b10ob
4o5b10obob4o63b10ob4o5b10ob6o63b10ob4o5b7obob7o63b10ob4o5b7ob9o63b10ob
4o5b4obob10o63b10ob4o5b4ob12o5b2o56b10ob4o5b4ob10o64b11ob4o5b4ob10o64b
11ob4o5b4ob11o63b11ob4o5b4ob11o63b11ob4o5b4ob11o63b11ob4o5b4ob11o63b
11ob4o5b4ob11o63b11ob4o5b4ob11o63b11ob4o5b4ob11o63b11ob4o5b4ob11o63b
11ob4o5b4ob11o63b11ob4o5b4ob11o63b11ob4o5b4ob11o$11b2o298bo2bobo194bo
1750b2o294bobo2bo199bo396bo596b2o162b2o91b2o7bo99bo96bo2bo95bo2bo96bo
2bo29b2o65bo2bo28bo7b2o58bo2bo28bo67bo2bo28bo2bo64bo2bo29bo2bo60b2obo
2bo29bo2bo60b2obo2bob2o26bo2bo60b2obo2bo2bo26bo2bo60b2obo2bo2bob2o23bo
2bo60b2obo2bo2bo2bo23bo2bo60b2obo2bo2bo2bob2o20bo2bo60b2obo2bo2bo2bo2b
o20bo2bo60b2obo2bo2bo2bo2bob2o17bo2bo60b2obo2bo2bo2bo2bo2bo17bo2bo60b
2obo2bo2bo2bo2bo2bo17bo2bob2o57b2obo2bo2bo2bo2bo2bo14b2obo2bob2o57b2ob
o2bo2bo2bo2bo2bo14bo2bo2bob2o57b2obo2bo2bo2bo2bo2bo11b2obo2bo2bob2o57b
2obo2bo2bo2bo2bo2bo11bo2bo2bo2bob2o57b2obo2bo2bo2bo2bo2bo8b2obo2bo2bo
2bob2o57b2obo2bo2bo2bo2bo2bo8bo2bo2bo2bo2bob2o57b2obo2bo2bo2bo2bo2bo5b
2obo2bo2bo2bo2bob2o57b2obo2bo2bo2bo2bo2bo5bo2bo2bo2bo2bo2bob2o60bo2bo
2bo2bo2bo2bo5bo2bo2bo2bo2bo2bob2o58bo4bo2bo2bo2bo2bo5bo2bo2bo2bo2bo2bo
b2o58bo2bobo2bo2bo2bo2bo5bo2bo2bo2bo2bo2bob2o58bo2bob2obo2bo2bo2bo5bo
2bo2bo2bo2bo2bob2o58bo2bo2bobo2bo2bo2bo5bo2bo2bo2bo2bo2bob2o58bo2bo2bo
b2obo2bo2bo5bo2bo2bo2bo2bo2bob2o58bo2bo2bo2bobo2bo2bo5bo2bo2bo2bo2bo2b
ob2o58bo2bo2bo2bob2obo2bo5bo2bo2bo2bo2bo2bob2o51bobo4bo2bo2bo2bo2bobo
2bo5bo2bo2bo2bo2bo2bob2o61bo2bo2bo2bobo2bo5bo2bo2bo2bo2bo2bob2o61bo2bo
2bo2bobo2bo5bo2bo2bo2bo2bo2bo64bo2bo2bo2bobo2bo5bo2bo2bo2bo2bo4bo62bo
2bo2bo2bobo2bo5bo2bo2bo2bo2bobo2bo62bo2bo2bo2bobo2bo5bo2bo2bo2bob2obo
2bo62bo2bo2bo2bobo2bo5bo2bo2bo2bobo2bo2bo62bo2bo2bo2bobo2bo5bo2bo2bob
2obo2bo2bo62bo2bo2bo2bobo2bo5bo2bo2bobo2bo2bo2bo62bo2bo2bo2bobo2bo5bo
2bob2obo2bo2bo2bo62bo2bo2bo2bobo2bo5bo2bobo2bo2bo2bo2bo4bobo55bo2bo2bo
2bobo2bo5bo2bobo2bo2bo2bo68bo2bo2bobo2bo5bo2bobo2bo2bo2bo68bo2bo2bobo
2bo5bo2bobo2bo2bo71bo2bo2bobo3bo4bo2bobo2bo2bo71bo2bo2bobo3bo3bo3bobo
2bo2bo71bo2bo2bobo3bo3bo3bobo2bo2bo71bo2bo2bobo3bo3bo3bobo2bo2bo71bo2b
o2bobo3bo3bo3bobo2bo2bo71bo2bo2bobo3bo3bo3bobo2bo2bo71bo2bo2bobo3bo3bo
3bobo2bo2bo64bo12bobo3bo3bo3bobo12bo57bo12bobo3bo3bo3bobo12bo57bo12bob
o3bo3bo3bobo12bo$12b2o102bo199bo1944b2o95bo199bo1198bobo253bobo6b2o98b
2o98b2o95b2o98b2o98b2o30b2o6bobo57b2o30b2o66b2o30b2o66b2o33b2o60bob2o
34b2o60bob2o34b2o60bob2o34b2o60bob2o34b2o60bob2o34b2o60bob2o34b2o60bob
2o34b2o60bob2o34b2o60bob2o34b2o60bob2o35b2obo57bob2o35b2obo57bob2o35b
2obo57bob2o35b2obo57bob2o35b2obo57bob2o35b2obo57bob2o35b2obo57bob2o35b
2obo57bob2o35b2obo60b2o34b2obo58bobo35b2obo58b2o36b2obo58b2o36b2obo58b
2o36b2obo58b2o36b2obo58b2o36b2obo58b2o36b2obo58b2o36b2obo96b2obo95b2o
99bobo98b2o98b2o98b2o98b2o98b2o98b2o98b2o161b2o98b2o33b2o63b2o13b2o18b
2o63b2o13b2o3b2o13b2o63b2o9bo3b2o3b2o13b2o63b2o9bo3b2o3b2o3bo9b2o63b2o
9bo3b2o3b2o3bo9b2o63b2o9bo3b2o3b2o3bo9b2o63b2o9bo3bo5bo3bo9b2o60b6ob4o
3bo3bo5bo3bo3b4ob6o57b6ob4o3bo3bo5bo3bo3b4ob6o57b6ob4o3bo3bo5bo3bo3b4o
b6o$11bo103b2o607b2o5bo80b2o1310bo138bo94b2o690b2o3bo207b2o287bo99bo
98b3o3bo257bo543bo2258b2o1035b2o862b2o98b2o33b2o63b2o33b2o63b2o33b2o
63b2o33b2o63b2o33b2o63b2o33b2o63b2o33b2o63b2o12bo7bo12b2o65bobo3bo5bo
7bo5bo3bobo67bobo3bo5bo7bo5bo3bobo67bobo3bo5bo7bo5bo3bobo$115bobo405b
3o193b2o4b2o3b2o79bobo10bo1292b2o4b2o232bobo389b3o299b2ob2o105b3o88bo
10bobo286b2o4b2o91b2o94b3obo597b3o3bo4975bo99bo11bo89b2o5b2o76bo3bo3b
2o5b2o5b2o5b2o3bo3bo61bo3bo3bo6b2o5b2o5b2o3bo3bo61bo3bo3bo6b2o5b2o6bo
3bo3bo$523bo194bobo3bo5bobo80bo10b2o1292b2o3bobo625bo291bo6bo3bobo104b
o89b2o10bo287bobo3b2o92bobo95bo2bo598bo2b2o453b2o953b2o855bo198b2o831b
o199b2o1177bo109bo187bobo97bobo9bobo172bobo35bobo59bobo5bo29bobo59bobo
5bo23bo5bobo$514b3o7bo195bo102bobo3bo1287bo632bo7b3o282b2o117bo7b2o75b
o3bobo305bo188bo601bo3bobo451bobo10bo931bo10bobo847b2o4b2o90b3o105bobo
830b2o4b2o99b3o89bobo755b3o149b3o266b2o109b2o187b2o98b2o9b2o174bo37bo
61bo6b2o29bo61bo6b2o21b2o6bo$516bo311b2o1928bo283bobo124b2o76b2o201bo
894bo464bo10b2o929b2o10bo850b2o3bobo91bo105bo205b2o4b2o195b2o4b2o195b
2o4b2o70b2o140bobo3b2o100bo93bo186b2o4b2o189b2o4b2o189b2o4b2o120b2o47b
o16bo115bo16bo72b2o101b2o91bobo107bobo$515bo304bo7bobo88bo4b2o196bo4b
2o196bo4b2o196bo4b2o196bo4b2o196bo4b2o818bo180bo4b2o224bo74bobo7bo192b
2o198b3o154b3o293bo242b2o325bo147bobo3bo921bo3bobo859bo98bo313b2o2b2o
197b2o2b2o197b2o2b2o72b2o147bo100bo280b2o2b2o191b2o2b2o191b2o2b2o120b
2o47bo16b2o115b2o16bo71bobo99bobo588bo2bo2bo2bo2bo2bo2bo$510bo14b2o
293b2o97b2o4b2o195b2o4b2o195b2o4b2o195b2o4b2o195b2o4b2o195b2o4b2o806b
2o14bo175b2o4b2o307b2o192bobo199bo156bo293b2o3b2o235bobo319b2o3b2o152b
2o921b2o1276bo6bo195bo6bo195bo6bo70bo530bo6bo189bo6bo189bo6bo121bo51bo
11bobo113bobo11bo68b2o6bo103bo6b2o279b2o117b2o$510b2o13bobo2b2o287bobo
96bobo3bo14b2o180bobo3bo14b2o180bobo3bo14b2o180bobo3bo14b2o180bobo3bo
14b2o180bobo3bo14b2o787b2o2bobo13b2o174bobo3bo14b2o293bobo186bo9b2o
194bo156bo293bobo2bobo111b2o444bobo2bobo79b2o62bo7bobo88bo4b2o196bo4b
2o196bo4b2o196bo4b2o215bobo7bo94b2o4bo190b2o4bo190b2o4bo190b2o4bo264b
2o1043b2o855b2o4b3o125b3o4b2o67bobo117bobo80b3o111b3o80bobo3bo109bo3bo
bo84b2o$500b3o6bobo13bo3b2o383b2o23bobo81b2o117bobo81b2o117bobo81b2o
117bobo81b2o117bobo81b2o117bobo81b2o704b2o3bo13bobo6b3o185bobo397b2o
82b2o7b2o197b3o172b3o278bo110bobo6b2o436bo78b2o6bobo61b2o97b2o4b2o195b
2o4b2o195b2o4b2o195b2o4b2o223b2o93b2o4b2o189b2o4b2o189b2o4b2o189b2o4b
2o263b2o1045b2o853bobo4bo129bo4bobo68bo117bo84bo111bo84bo3b2o107b2o3bo
85bobo$502bo28bo202b3o178b2o15b2o5bo84b2o3b2o104b2o5bo84b2o3b2o104b2o
5bo84b2o3b2o104b2o5bo84b2o3b2o104b2o5bo84b2o3b2o104b2o5bo84b2o3b2o697b
o28bo180b2o5bo399bobo80bobo9bo196bo157b3o14bo81b3o23bo285bo6bobo208bo
23b3o278bobo6bo62bobo96bobo3bo14b2o180bobo3bo14b2o180bobo3bo14b2o180bo
bo3bo14b2o209bobo78b2o14bo3bobo174b2o14bo3bobo174b2o14bo3bobo174b2o14b
o3bobo264bo1043bo863bo127bo278bo113bo86bobo107bobo90bo$501bo232bo179bo
16b2o90bo4b2o104b2o90bo4b2o104b2o90bo4b2o104b2o90bo4b2o104b2o90bo4b2o
104b2o90bo4b2o728bo178b2o398b2o6bo292bo158bo15bo82bo8b3o11b2o292bo210b
2o11b3o8bo282bo164b2o23bobo81b2o117bobo81b2o117bobo81b2o117bobo81b2o
205bobo23b2o89b2o78bobo114b2o78bobo114b2o78bobo114b2o161b2o225b2o88b3o
16b2o92b2o88b3o16b2o92b2o88b3o16b2o315b2o171b2o89b2o16b3o85b2o89b2o16b
3o85b2o89b2o16b3o391b2o99b2o93b3o105b3o92b3o99b3o81b2o29b2o$513b2o220b
o197bo96bo105bo96bo105bo96bo105bo96bo105bo96bo105bo96bo714b2o192bo396b
obo457bo98bo11bo3bo7bobo501bobo7bo3bo11bo447b2o15b2o5bo84b2o3b2o104b2o
5bo84b2o3b2o104b2o5bo84b2o3b2o104b2o5bo84b2o3b2o201bo5b2o15b2o84b2o3b
2o81bo5b2o101b2o3b2o81bo5b2o101b2o3b2o81bo5b2o101b2o3b2o161bobo225bobo
89bo15b2o93bobo89bo15b2o93bobo89bo15b2o316bobo169bobo90b2o15bo86bobo
90b2o15bo86bobo90b2o15bo392b2o101b2o92bo109bo92bo103bo82b2o27b2o184b3o
2b3o85b3o2b3o$512bobo2245bobo590bo567bo3b2o297bo223b2o3bo296bo160bo16b
2o90bo4b2o104b2o90bo4b2o104b2o90bo4b2o104b2o90bo4b2o209b2o16bo84b2o4bo
87b2o101b2o4bo87b2o101b2o4bo87b2o101b2o4bo162bo217b2o6bo90bo18bo84b2o
6bo90bo18bo84b2o6bo90bo18bo315bo173bo6b2o81bo18bo87bo6b2o81bo18bo87bo
6b2o81bo18bo393bo99bo95bo107bo94bo101bo82bo16b3o12bo183bo4bo89bo4bo$
514bo2245bo678b2o484bobo295b2o222bobo300b2o178bo96bo105bo96bo105bo96bo
105bo96bo207bo102bo93bo102bo93bo102bo93bo102bo386bobo200bobo200bobo
613bobo194bobo194bobo1094bo199bo4bo87bo4bo$915b3o2522b2o781bobo523bobo
2175bo202bo202bo613bo196bo196bo1097bo$917bo199b2o201b2o201b2o201b2o
201b2o1004b2o502bo5992b2o198b2o107b2o$498b3o415bo111b2o86bobo112b2o86b
obo112b2o86bobo112b2o86bobo112b2o86bobo112b2o729b3o157bobo1975b3o945b
3o2747b2o151b2o668b2o196bobo107bobo$500bo41b3o482b2o89bo111b2o89bo111b
2o89bo111b2o89bo111b2o89bo111b2o686b3o41bo161bo421bo66b3o41b2o1443bo
199b2o201b2o201b2o338bo198b2o195b2o195b2o2156b2o149b2o668bo200bo107bo$
499bo42bo486bo202bo202bo202bo202bo202bo687bo42bo581b2o68bo40b2o1443bo
111b2o86bobo112b2o86bobo112b2o86bobo112b2o225bo86b2o109bobo83b2o109bob
o83b2o109bobo83b2o2069bo153bo473b2o95b2o113b3o$536b2o5bo2187bo5b2o618b
obo66bo43bo1553b2o89bo111b2o89bo111b2o89bo111b2o314b2o108bo86b2o108bo
86b2o108bo86b2o390bo71b2o129bo71b2o129bo71b2o530bo126b2o68bo126b2o68bo
126b2o772b2o97b2o112bo$535b2o2201b2o2286bo202bo202bo202bo312bo196bo
196bo196bo391b2o72b2o127b2o72b2o127b2o72b2o529b2o124b2o69b2o124b2o69b
2o124b2o775bo95bo115bo155bo159bo$499bo37bo2199bo37bo4155bobo70bo129bob
o70bo129bobo70bo530bobo126bo67bobo126bo67bobo126bo1142b2o157b2o$499b2o
2273b2o6830bobo157bobo$498bobo2273bobo549b2o$3327b2o47b2o$3326bo49bobo
3521b2o201b2o201b2o665b2o195b2o195b2o1238b2o157b2o$3376bo3524b2o47b2o
152b2o47b2o152b2o47b2o565b2o47b2o146b2o47b2o146b2o47b2o1238bobo157bobo
$6900bo49bobo150bo49bobo150bo49bobo563bobo49bo144bobo49bo144bobo49bo
1239bo157bo$6950bo202bo202bo567bo196bo196bo$9634bo105bo$9633b2o105b2o$
9633bobo103bobo!
[[ MAXGRIDSIZE 14 ]]
Only the bottom two "lines" still need to be synthesised, because the remaining still-life was synthesised as part of the Canada Grey synthesis. I omitted some steps on the right-side of the synthesis which should be able to be copied in from the Canada Grey synthesis.

User avatar
iNoMed
Moderator
Posts: 607
Joined: August 29th, 2020, 3:05 pm
Location: Scotland

Re: Small Spaceship Syntheses

Post by iNoMed » July 6th, 2021, 12:13 pm

For a slight change of pace, here's a 24-glider synthesis for 25P3H1V0.2 (A two-glider improvement):

Code: Select all

x = 144, y = 51, rule = B3/S23
123bo$116bo4bobo$117b2o3b2o$112bo3b2o$113bo$111b3o18bobo$132b2o$11bo
107bo13bo$9bobo105bobo$10b2o106b2o4$109bo$71bo35bobo4bo$70bo37b2o5bo
25bobo$70b3o40b3o19bobo3b2o$19bobo42b2o69b2o5bo$20b2o43b2o42b2o11b2o
12bo$20bo43bo5bo39b2o10b2o$68bobo38bo$69b2o54b2o$125b2o2$27bo43b2o52b
2o$28bo43bo53bo$26b3o42bo53bo$72b3o51b3o$70bobo2bo37b2o9bobo2bo$70b2o
2b2o36bobo9b2o2b2o$114bo22b2o$137bobo$26b2o109bo$27b2o$26bo2$113b2o$
114b2o22b2o$28bo84bo24bobo$27b2o99b3o7bo$27bobo98bo$129bo7$2o$b2o$o!
The initial improvement came as a result of a 2G activation for the "RHS" (In the above RLE, the bottom-most part of the final step) that only requires a pre-block and not a tub (Allowing for a 7G synth (down from 8G) of the base SL), before I found a 6G synthesis of said base SL from the third 5G_stdin result.

Code: Select all

x = 35, y = 5, rule = B3/S23
4b2o3b2o3bo3b2ob2o3b2ob2o$2o2bobo3bo2bobobobobobobobobobo$obobo2bo2bob
o2bobo2bo2bobo3bobo$2bobo3bobobobo2bo5bobo3bobob2o$b2ob2o3b2ob2o3b2o3b
2ob2o3b2ob2o!

User avatar
Goldtiger997
Posts: 762
Joined: June 21st, 2016, 8:00 am

Re: Small Spaceship Syntheses

Post by Goldtiger997 » July 16th, 2021, 9:30 am

This should be a complete synthesis of the "next-size-up" greyship, starting from an xs156 which was synthesised as part of the Canada Grey synthesis:

Code: Select all

x = 21769, y = 106, rule = B3/S23
21707bo$21705bobo$21706b2o4$21683bo10bo41bo10bo$21681bobo11b2o9bo27b2o
11bobo$21682b2o10b2o4bo6b2o16bo4bo4b2o10b2o$21687bo13bo4b2o16bo4bo13bo
$21688b2o9b3o22b3o2b3o9b2o$21687b2o6bo39bo6b2o$21696b2o35b2o$21695b2o
37b2o$21690bo49bo$21688bobo49bobo$21689b2o49b2o2$1544bo17971bo2177bobo
37bobo$1542b2o17970bobo58bo179bo1939b2o37b2o$1543b2o17970b2o56bobo179b
obo36bo141bo1758bo39bo$19512bo5bo55b2o179b2o35bobo141bobo1737bo77bo$
19510bobo4bo275b2o141b2o1739b2o73b2o$19511b2o4b3o92b2o3b2o93b2o3b2o93b
2o3b2o93b2o3b2o93b2o3b2o93b2o3b2o93b2o3b2o93b2o3b2o93b2o3b2o93b2o3b2o
93b2o3b2o93b2o3b2o93b2o3b2o93b2o3b2o93b2o3b2o93b2o3b2o93b2o3b2o93b2o3b
2o93b2o3b2o93b2o3b2o93b2o3b2o57b2o34b2o3b2o34b2o$8bo13bo85bo13bo85bo
13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo
85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo
13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo
85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo
13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo
85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo
13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo
85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo
13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo
85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo
13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo
85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo
13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo
85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo
13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo
85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo
13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo
85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo
13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo
85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo
13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo
85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo
13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo70bo14bo3b2o3b2o3b
o85bo3b2o3b2o3bo14bo70bo3b2o3b2o3bo85bo3b2o3b2o3bo85bo3b2o3b2o3bo85bo
3b2o3b2o3bo85bo3b2o3b2o3bo85bo3b2o3b2o3bo85bo3b2o3b2o3bo85bo3b2o3b2o3b
o85bo3b2o3b2o3bo85bo3b2o3b2o3bo85bo3b2o3b2o3bo85bo3b2o3b2o3bo85bo3b2o
3b2o3bo85bo3b2o3b2o3bo85bo3b2o3b2o3bo85bo3b2o3b2o3bo85bo3b2o3b2o3bo85b
o3b2o3b2o3bo85bo3b2o3b2o3bo62bobo20bo3b2o3b2o3bo20bobo$7bobo11bobo83bo
bo11bobo83bobo11bobo83bobo11bobo83bobo11bobo83bobo11bobo83bobo11bobo
83bobo11bobo83bobo11bobo83bobo11bobo83bobo11bobo83bobo11bobo83bobo11bo
bo83bobo11bobo83bobo11bobo83bobo11bobo83bobo11bobo83bobo11bobo83bobo
11bobo83bobo11bobo83bobo11bobo83bobo11bobo83bobo11bobo83bobo11bobo83bo
bo11bobo83bobo11bobo83bobo11bobo83bobo11bobo83bobo11bobo83bobo11bobo
83bobo11bobo83bobo11bobo83bobo11bobo83bobo11bobo83bobo11bobo83bobo11bo
bo83bobo11bobo83bobo11bobo83bobo11bobo83bobo11bobo83bobo11bobo83bobo
11bobo83bobo11bobo83bobo11bobo83bobo11bobo83bobo11bobo83bobo11bobo83bo
bo11bobo83bobo11bobo83bobo11bobo83bobo11bobo83bobo11bobo83bobo11bobo
83bobo11bobo83bobo11bobo83bobo11bobo83bobo11bobo83bobo11bobo83bobo11bo
bo83bobo11bobo83bobo11bobo83bobo11bobo83bobo11bobo83bobo11bobo83bobo
11bobo83bobo11bobo83bobo11bobo83bobo11bobo83bobo11bobo83bobo11bobo83bo
bo11bobo83bobo11bobo83bobo11bobo83bobo11bobo83bobo11bobo83bobo11bobo
83bobo11bobo83bobo11bobo83bobo11bobo83bobo11bobo83bobo11bobo83bobo11bo
bo83bobo11bobo83bobo11bobo83bobo11bobo83bobo11bobo83bobo11bobo83bobo
11bobo83bobo11bobo83bobo11bobo83bobo11bobo83bobo11bobo83bobo11bobo83bo
bo11bobo83bobo11bobo83bobo11bobo83bobo11bobo83bobo11bobo83bobo11bobo
83bobo11bobo83bobo11bobo83bobo11bobo83bobo11bobo83bobo11bobo83bobo11bo
bo83bobo11bobo83bobo11bobo83bobo11bobo83bobo11bobo83bobo11bobo83bobo
11bobo83bobo11bobo83bobo11bobo83bobo11bobo83bobo11bobo83bobo11bobo83bo
bo11bobo83bobo11bobo83bobo11bobo83bobo11bobo83bobo11bobo83bobo11bobo
83bobo11bobo83bobo11bobo83bobo11bobo83bobo11bobo83bobo11bobo83bobo11bo
bo83bobo11bobo83bobo11bobo83bobo11bobo83bobo11bobo83bobo11bobo83bobo
11bobo83bobo11bobo83bobo11bobo83bobo11bobo83bobo11bobo83bobo11bobo83bo
bo11bobo83bobo11bobo83bobo11bobo83bobo11bobo83bobo11bobo83bobo11bobo
83bobo11bobo83bobo11bobo83bobo11bobo83bobo11bobo83bobo11bobo83bobo11bo
bo83bobo11bobo83bobo11bobo83bobo11bobo83bobo11bobo83bobo11bobo83bobo
11bobo83bobo11bobo83bobo11bobo83bobo11bobo83bobo11bobo83bobo11bobo83bo
bo11bobo83bobo11bobo83bobo11bobo83bobo11bobo83bobo11bobo83bobo11bobo
83bobo11bobo83bobo11bobo83bobo11bobo83bobo11bobo83bobo11bobo83bobo11bo
bo83bobo11bobo83bobo11bobo83bobo11bobo83bobo11bobo83bobo11bobo83bobo
11bobo83bobo11bobo83bobo11bobo83bobo11bobo83bobo11bobo83bobo11bobo83bo
bo11bobo83bobo11bobo83bobo11bobo83bobo11bobo83bobo11bobo83bobo11bobo
83bobo11bobo83bobo11bobo83bobo11bobo83bobo11bobo83bobo11bobo67bobo13bo
bo11bobo83bobo11bobo13bobo56bo10bobo11bobo83bobo11bobo10bo72bobo11bobo
83bobo11bobo83bobo11bobo83bobo11bobo83bobo11bobo83bobo11bobo21bo61bobo
11bobo83bobo11bobo83bobo11bobo83bobo11bobo83bobo11bobo83bobo11bobo83bo
bo11bobo83bobo11bobo83bobo11bobo83bobo11bobo83bobo11bobo57bo4b2o19bobo
11bobo19b2o4bo$8bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo
85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo
13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo
85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo
13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo
85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo
13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo
85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo
13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo
85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo
13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo
85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo
13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo
85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo
13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo
85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo
13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo
85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo
13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo
85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo
13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo
85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo
13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo
85bo13bo85bo13bo69b2o14bo13bo85bo13bo14b2o58bo10bo13bo85bo13bo10bo74bo
13bo85bo13bo85bo13bo85bo13bo62bo22bo13bo85bo13bo23b2o60bo13bo85bo13bo
85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo
13bo56bobo4bo21bo13bo21bo4bobo$9b3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob
3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob
3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob
3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o13bo3bobo67b3ob2ob2ob3o87b
3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b
3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b
3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b
3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b
3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b
3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b
3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b
3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b
3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b
3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b
3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b
3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b
3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b
3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b
3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b
3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b
3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b
3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b
3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b
3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b
3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b
3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b
3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b
3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b
3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b
3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b
3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b
3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b
3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b
3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b
3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b
3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b
3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b
3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b
3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b
3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o87b
3ob2ob2ob3o73b3o11b3ob2ob2ob3o75b2o10b3ob2ob2ob3o11b3o61b2o10b3ob2ob2o
b3o10b2o63b2o10b3ob2ob2ob3o10b2o63b2o10b3ob2ob2ob3o10b2o63b2o10b3ob2ob
2ob3o10b2o49b2o12b2o10b3ob2ob2ob3o10b2o63b2o10b3ob2ob2ob3o10b2o11b2o
50b2o10b3ob2ob2ob3o10b2o63b2o10b3ob2ob2ob3o10b2o63b2o10b3ob2ob2ob3o10b
2o63b2o10b3ob2ob2ob3o10b2o63b2o10b3ob2ob2ob3o10b2o63b2o10b3ob2ob2ob3o
10b2o63b2o10b3ob2ob2ob3o10b2o63b2o10b3ob2ob2ob3o10b2o63b2o10b3ob2ob2ob
3o10b2o63b2o10b3ob2ob2ob3o10b2o63b2o10b3ob2ob2ob3o10b2o46b2o15b2o10b3o
b2ob2ob3o10b2o15b2o$11bobo3bobo91bobo3bobo91bobo3bobo91bobo3bobo91bobo
3bobo91bobo3bobo91bobo3bobo7bobo81bobo3bobo91bobo3bobo91bobo3bobo91bob
o3bobo91bobo3bobo91bobo3bobo91bobo3bobo91bobo3bobo91bobo3bobo13b2o4b2o
70bobo3bobo91bobo3bobo91bobo3bobo91bobo3bobo91bobo3bobo91bobo3bobo91bo
bo3bobo91bobo3bobo91bobo3bobo91bobo3bobo91bobo3bobo91bobo3bobo91bobo3b
obo91bobo3bobo91bobo3bobo91bobo3bobo91bobo3bobo91bobo3bobo91bobo3bobo
91bobo3bobo91bobo3bobo91bobo3bobo91bobo3bobo91bobo3bobo91bobo3bobo91bo
bo3bobo91bobo3bobo91bobo3bobo91bobo3bobo91bobo3bobo91bobo3bobo91bobo3b
obo91bobo3bobo91bobo3bobo91bobo3bobo91bobo3bobo91bobo3bobo70b2o19bobo
3bobo91bobo3bobo91bobo3bobo19b2o70bobo3bobo91bobo3bobo91bobo3bobo91bob
o3bobo91bobo3bobo91bobo3bobo91bobo3bobo91bobo3bobo91bobo3bobo91bobo3bo
bo91bobo3bobo91bobo3bobo91bobo3bobo91bobo3bobo91bobo3bobo91bobo3bobo
91bobo3bobo91bobo3bobo91bobo3bobo91bobo3bobo91bobo3bobo91bobo3bobo91bo
bo3bobo91bobo3bobo91bobo3bobo91bobo3bobo91bobo3bobo91bobo3bobo91bobo3b
obo91bobo3bobo91bobo3bobo91bobo3bobo91bobo3bobo91bobo3bobo91bobo3bobo
91bobo3bobo91bobo3bobo91bobo3bobo91bobo3bobo91bobo3bobo91bobo3bobo91bo
bo3bobo91bobo3bobo91bobo3bobo91bobo3bobo91bobo3bobo91bobo3bobo91bobo3b
obo91bobo3bobo91bobo3bobo91bobo3bobo91bobo3bobo91bobo3bobo91bobo3bobo
91bobo3bobo91bobo3bobo91bobo3bobo91bobo3bobo91bobo3bobo91bobo3bobo91bo
bo3bobo91bobo3bobo91bobo3bobo91bobo3bobo91bobo3bobo91bobo3bobo91bobo3b
obo91bobo3bobo91bobo3bobo91bobo3bobo91bobo3bobo91bobo3bobo91bobo3bobo
91bobo3bobo91bobo3bobo91bobo3bobo91bobo3bobo91bobo3bobo91bobo3bobo91bo
bo3bobo91bobo3bobo91bobo3bobo91bobo3bobo91bobo3bobo91bobo3bobo91bobo3b
obo91bobo3bobo91bobo3bobo91bobo3bobo91bobo3bobo91bobo3bobo91bobo3bobo
91bobo3bobo91bobo3bobo91bobo3bobo91bobo3bobo91bobo3bobo91bobo3bobo91bo
bo3bobo91bobo3bobo91bobo3bobo91bobo3bobo91bobo3bobo91bobo3bobo91bobo3b
obo91bobo3bobo91bobo3bobo91bobo3bobo91bobo3bobo91bobo3bobo91bobo3bobo
91bobo3bobo91bobo3bobo91bobo3bobo91bobo3bobo91bobo3bobo91bobo3bobo91bo
bo3bobo91bobo3bobo91bobo3bobo91bobo3bobo91bobo3bobo91bobo3bobo91bobo3b
obo91bobo3bobo91bobo3bobo91bobo3bobo91bobo3bobo91bobo3bobo91bobo3bobo
91bobo3bobo91bobo3bobo91bobo3bobo91bobo3bobo91bobo3bobo91bobo3bobo91bo
bo3bobo91bobo3bobo91bobo3bobo91bobo3bobo75bobo13bobo3bobo91bobo3bobo
13bobo75bobo3bobo77bobo11bobo3bobo77bobo11bobo3bobo11bobo63bobo11bobo
3bobo11bobo63bobo11bobo3bobo11bobo63bobo11bobo3bobo11bobo50b2o11bobo
11bobo3bobo11bobo63bobo11bobo3bobo11bobo63bobo11bobo3bobo11bobo63bobo
11bobo3bobo11bobo63bobo11bobo3bobo11bobo63bobo11bobo3bobo11bobo63bobo
11bobo3bobo11bobo63bobo11bobo3bobo11bobo63bobo11bobo3bobo11bobo63bobo
11bobo3bobo11bobo63bobo11bobo3bobo11bobo63bobo11bobo3bobo11bobo63bobo
11bobo3bobo11bobo63bobo11bobo3bobo11bobo$14bobo97bobo97bobo97bobo97bob
o97bobo97bobo10b2o85bobo97bobo97bobo97bobo97bobo97bobo97bobo97bobo97bo
bo17b2o4bo73bobo97bobo97bobo97bobo97bobo97bobo97bobo97bobo97bobo97bobo
97bobo97bobo97bobo97bobo97bobo97bobo97bobo97bobo97bobo97bobo97bobo97bo
bo97bobo97bobo97bobo97bobo97bobo97bobo97bobo97bobo97bobo97bobo97bobo
97bobo97bobo97bobo97bobo74b2o21bobo97bobo97bobo21b2o74bobo97bobo97bobo
97bobo97bobo97bobo97bobo97bobo97bobo97bobo97bobo97bobo97bobo97bobo97bo
bo97bobo97bobo97bobo97bobo97bobo97bobo97bobo97bobo97bobo97bobo97bobo
97bobo97bobo97bobo97bobo97bobo97bobo97bobo97bobo97bobo97bobo97bobo97bo
bo97bobo97bobo97bobo65bo31bobo97bobo97bobo97bobo97bobo97bobo31bo65bobo
97bobo97bobo97bobo97bobo97bobo97bobo97bobo97bobo97bobo97bobo97bobo97bo
bo97bobo97bobo97bobo97bobo97bobo97bobo97bobo97bobo97bobo97bobo97bobo
97bobo97bobo97bobo97bobo97bobo97bobo97bobo97bobo97bobo97bobo97bobo97bo
bo97bobo97bobo97bobo97bobo97bobo97bobo97bobo97bobo97bobo97bobo97bobo
97bobo97bobo97bobo97bobo97bobo97bobo97bobo97bobo97bobo97bobo97bobo97bo
bo97bobo97bobo97bobo97bobo97bobo97bobo97bobo97bobo97bobo97bobo97bobo
97bobo97bobo97bobo97bobo97bobo97bobo97bobo97bobo97bobo97bobo97bobo97bo
bo97bobo97bobo97bobo97bobo97bobo97bobo97bobo97bobo97bobo97bobo97bobo
79b2o16bobo97bobo16b2o60bo18bobo81b2o14bobo18bo53bo8b2o14bobo14b2o65b
2o14bobo14b2o8bo56b2o14bobo14b2o65b2o14bobo14b2o65b2o14bobo14b2o65b2o
14bobo14b2o65b2o14bobo14b2o65b2o14bobo14b2o65b2o14bobo14b2o65b2o14bobo
14b2o65b2o14bobo14b2o65b2o14bobo14b2o65b2o14bobo14b2o65b2o14bobo14b2o
65b2o14bobo14b2o65b2o14bobo14b2o65b2o14bobo14b2o65b2o14bobo14b2o$12b3o
b3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o9bo83b3ob3o93b3ob3o
93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob
3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b
3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o
93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob
3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b
3ob3o71bo3bobo15b3ob3o93b3ob3o93b3ob3o15bobo3bo71b3ob3o93b3ob3o93b3ob
3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b
3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o
93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob
3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b
3ob3o93b3ob3o93b3ob3o93b3ob3o64bo28b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3o
b3o93b3ob3o28bo64b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob
3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b
3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o
93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob
3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b
3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o
93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob
3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b
3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o
93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob
3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o77bo
15b3ob3o93b3ob3o15bo60b2o15b3ob3o93b3ob3o15b2o51b2o23b3ob3o93b3ob3o23b
2o68b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b
3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o$11bo7bo
91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo
91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo
91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo
91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo13bobo75bo7bo91bo7bo91bo7bo91bo7bo
91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo
91bo7bo91bo7bo91bo7bo74b2o15bo7bo91bo7bo91bo7bo15b2o74bo7bo91bo7bo91bo
7bo91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo91bo
7bo91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo91bo
7bo91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo91bo
7bo91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo61b3o27bo7b
o91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo27b3o61bo7bo91bo7bo91bo7bo91bo7bo
91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo
91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo
91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo
91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo
91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo
91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo
91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo
91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo
91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo
91bo7bo74bobo14bo7bo91bo7bo14bobo51b2o21bo7bo91bo7bo21b2o68bo7bo91bo7b
o91bo7bo91bo7bo33bo57bo7bo91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo
91bo7bo91bo7bo91bo7bo91bo7bo44bo14bo31bo7bo31bo14bo$10bobo5bobo89bobo
5bobo89bobo5bobo89bobo5bobo89bobo5bobo89bobo5bobo89bobo5bobo8b2o79bobo
5bobo89bobo5bobo89bobo5bobo89bobo5bobo89bobo5bobo15bo73bobo5bobo89bobo
5bobo89bobo5bobo89bobo5bobo22bo66bobo5bobo89bobo5bobo89bobo5bobo89bobo
5bobo89bobo5bobo89bobo5bobo89bobo5bobo89bobo5bobo89bobo5bobo89bobo5bob
o89bobo5bobo89bobo5bobo89bobo5bobo89bobo5bobo89bobo5bobo89bobo5bobo89b
obo5bobo89bobo5bobo89bobo5bobo89bobo5bobo15bo73bobo5bobo89bobo5bobo89b
obo5bobo89bobo5bobo89bobo5bobo89bobo5bobo89bobo5bobo89bobo5bobo89bobo
5bobo89bobo5bobo89bobo5bobo89bobo5bobo89bobo5bobo89bobo5bobo89bobo5bob
o89bobo5bobo71bo17bobo5bobo74bo14bobo5bobo89bobo5bobo17bo71bobo5bobo
14bo74bobo5bobo89bobo5bobo89bobo5bobo89bobo5bobo89bobo5bobo56bo32bobo
5bobo89bobo5bobo89bobo5bobo89bobo5bobo89bobo5bobo89bobo5bobo89bobo5bob
o89bobo5bobo89bobo5bobo89bobo5bobo89bobo5bobo89bobo5bobo89bobo5bobo89b
obo5bobo89bobo5bobo89bobo5bobo89bobo5bobo89bobo5bobo89bobo5bobo89bobo
5bobo89bobo5bobo89bobo5bobo89bobo5bobo32bo56bobo5bobo89bobo5bobo89bobo
5bobo89bobo5bobo89bobo5bobo89bobo5bobo89bobo5bobo89bobo5bobo89bobo5bob
o89bobo5bobo89bobo5bobo89bobo5bobo89bobo5bobo89bobo5bobo89bobo5bobo89b
obo5bobo89bobo5bobo89bobo5bobo89bobo5bobo89bobo5bobo89bobo5bobo89bobo
5bobo89bobo5bobo89bobo5bobo89bobo5bobo89bobo5bobo89bobo5bobo89bobo5bob
o89bobo5bobo89bobo5bobo89bobo5bobo89bobo5bobo89bobo5bobo89bobo5bobo89b
obo5bobo89bobo5bobo89bobo5bobo89bobo5bobo89bobo5bobo89bobo5bobo89bobo
5bobo89bobo5bobo89bobo5bobo89bobo5bobo89bobo5bobo89bobo5bobo89bobo5bob
o89bobo5bobo89bobo5bobo89bobo5bobo89bobo5bobo89bobo5bobo89bobo5bobo89b
obo5bobo89bobo5bobo89bobo5bobo89bobo5bobo89bobo5bobo89bobo5bobo89bobo
5bobo89bobo5bobo89bobo5bobo89bobo5bobo89bobo5bobo89bobo5bobo89bobo5bob
o89bobo5bobo89bobo5bobo89bobo5bobo89bobo5bobo89bobo5bobo89bobo5bobo89b
obo5bobo89bobo5bobo89bobo5bobo89bobo5bobo89bobo5bobo89bobo5bobo89bobo
5bobo89bobo5bobo89bobo5bobo89bobo5bobo89bobo5bobo89bobo5bobo89bobo5bob
o89bobo5bobo89bobo5bobo89bobo5bobo89bobo5bobo89bobo5bobo89bobo5bobo89b
obo5bobo89bobo5bobo89bobo5bobo89bobo5bobo89bobo5bobo89bobo5bobo89bobo
5bobo89bobo5bobo89bobo5bobo89bobo5bobo89bobo5bobo89bobo5bobo89bobo5bob
o89bobo5bobo89bobo5bobo89bobo5bobo89bobo5bobo89bobo5bobo89bobo5bobo89b
obo5bobo89bobo5bobo89bobo5bobo80bo8bobo5bobo80bo8bobo5bobo8bo71bo8bobo
5bobo8bo71bo8bobo5bobo8bo71bo8bobo5bobo8bo71bo8bobo5bobo8bo71bo8bobo5b
obo8bo47bo23bo8bobo5bobo8bo71bo8bobo5bobo8bo21b2o48bo8bobo5bobo8bo71bo
8bobo5bobo8bo71bo8bobo5bobo8bo71bo8bobo5bobo8bo71bo8bobo5bobo8bo71bo8b
obo5bobo8bo71bo8bobo5bobo8bo71bo8bobo5bobo8bo71bo8bobo5bobo8bo71bo8bob
o5bobo8bo71bo8bobo5bobo8bo32bobo15bo20bo8bobo5bobo8bo20bo15bobo$11b2o
5b2o91b2o5b2o91b2o5b2o91b2o5b2o91b2o5b2o91b2o5b2o91b2o5b2o8b2o81b2o5b
2o91b2o5b2o91b2o5b2o91b2o5b2o91b2o5b2o14b2o75b2o5b2o91b2o5b2o91b2o5b2o
91b2o5b2o15bo7bobo65b2o5b2o91b2o5b2o91b2o5b2o91b2o5b2o91b2o5b2o91b2o5b
2o91b2o5b2o91b2o5b2o91b2o5b2o91b2o5b2o91b2o5b2o91b2o5b2o91b2o5b2o91b2o
5b2o91b2o5b2o91b2o5b2o91b2o5b2o91b2o5b2o91b2o5b2o91b2o5b2o16bo74b2o5b
2o91b2o5b2o91b2o5b2o91b2o5b2o91b2o5b2o91b2o5b2o91b2o5b2o91b2o5b2o26bo
64b2o5b2o91b2o5b2o91b2o5b2o91b2o5b2o91b2o5b2o91b2o5b2o91b2o5b2o91b2o5b
2o73bo17b2o5b2o91b2o5b2o91b2o5b2o17bo73b2o5b2o69bobo19b2o5b2o91b2o5b2o
91b2o5b2o91b2o5b2o91b2o5b2o55bobo33b2o5b2o91b2o5b2o91b2o5b2o91b2o5b2o
91b2o5b2o91b2o5b2o91b2o5b2o91b2o5b2o91b2o5b2o91b2o5b2o91b2o5b2o91b2o5b
2o91b2o5b2o91b2o5b2o91b2o5b2o91b2o5b2o91b2o5b2o91b2o5b2o19bobo69b2o5b
2o91b2o5b2o91b2o5b2o91b2o5b2o91b2o5b2o33bobo55b2o5b2o91b2o5b2o91b2o5b
2o91b2o5b2o91b2o5b2o91b2o5b2o91b2o5b2o91b2o5b2o91b2o5b2o91b2o5b2o74bob
o14b2o5b2o91b2o5b2o91b2o5b2o91b2o5b2o91b2o5b2o91b2o5b2o91b2o5b2o91b2o
5b2o91b2o5b2o91b2o5b2o91b2o5b2o91b2o5b2o91b2o5b2o91b2o5b2o91b2o5b2o91b
2o5b2o91b2o5b2o91b2o5b2o91b2o5b2o91b2o5b2o91b2o5b2o91b2o5b2o91b2o5b2o
91b2o5b2o91b2o5b2o91b2o5b2o91b2o5b2o91b2o5b2o91b2o5b2o91b2o5b2o91b2o5b
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71b29o71b29o71b29o71b29o71b29o71b29o71b29o71b29o71b29o71b29o71b29o71b
29o71b29o71b29o71b29o71b29o71b29o71b29o71b29o71b29o71b29o54b2o15b29o
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6b29o6bobo24bo28bobo6b29o6bobo28bo$1128bobo298b2o111bobo157b2o94bo2bob
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3bo55bo3b2o33b2o3bo26bo28bo3b2o33b2o3bo28bo$839bo288bo199b2o212bo253bo
bo3bo1725b2o99bo99bo99b3o97b3o97b3o99bo99b2o98b2o98b2o99b2obo96b2obo
96b2obo95b2o95bo2b2o196b2o9bo550bobo89bo7bo2b2o394bo196b2o12b3o97b3o
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61bob35obo61bob35obo61bob35obo61bob35obo61bob35obo61bob35obo61bob35obo
61bob35obo61bob35obo61bob35obo61bob35obo61bob35obo61bob35obo61bob35obo
61bob35obo61bob35obo61bob35obo61bob35obo50b2o9bob35obo45bo15bob35obo
61bob35obo61bob35obo61bob35obo61bob35obo61bob35obo61bob35obo9b2o50bob
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61bob35obo61bob35obo61bob35obo46bo14bob35obo61bob35obo61bob35obo61bob
35obo61bob35obo14bo46bob35obo61bob35obo61bob35obo61bob35obo61bob35obo
41bo19bob35obo61bob35obo61bob35obo19bo41bob35obo61bob35obo61bob35obo
61bob35obo61bob35obo61bob35obo61bob35obo61bob35obo61bob35obo61bob35obo
61bob35obo61bob35obo61bob35obo61bob35obo49bo11bob35obo61bob35obo61bob
35obo61bob35obo11bo49bob35obo61bob35obo61bob35obo61bob35obo61bob35obo
27b3o31bob35obo31b3o$839bobo485bobo369bo97b2o1830b2o97bo7b2o90bo99bo
99bo101b2o803b2o202b2o552bo96bo97bobo198b2o98bo210bo2bo93b2obo2bo93b2o
bo2bob2o90b2obo2bo2bo90b2obo2bo2bob2o87b2obo2bo2bo2bo87b2obo2bo2bo2bob
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b2o75b2obo2bo2bo2bo2bo2bo2bo2bo2bo75bo2bo2bo2bo2bo2bo2bo2bo2bo75bo2bo
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8bobo60bo2bo2bo2bo2bo2bo2bo2bo2bobo2bo2bo67bo2bo2bo2bo2bo2bo2bo2bo2bob
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55bobo4b2o11bo2bo2bo2bo2bo2bo2bo2bo2bo75bo2bo2bo2bo2bo2bo2bo2bo2bo78bo
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61bo18bo18bo61bo18bo18bo61bo18bo18bo49bobo9bo18bo18bo46bo14bo18bo18bo
61bo18bo18bo61bo18bo18bo61bo18bo18bo61bo18bo18bo61bo18bo18bo61bo18bo
18bo9bobo49bo18bo18bo14bo46bo18bo18bo61bo18bo18bo61bo18bo18bo61bo18bo
18bo61bo18bo18bo61bo18bo18bo61bo18bo18bo61bo18bo18bo61bo18bo18bo44bobo
14bo18bo18bo61bo18bo18bo61bo18bo18bo61bo18bo18bo61bo18bo18bo14bobo44bo
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61bo18bo18bo61bo18bo18bo61bo18bo18bo61bo18bo18bo61bo18bo18bo61bo18bo
18bo61bo18bo18bo61bo18bo18bo61bo18bo18bo61bo18bo18bo61bo18bo18bo61bo
18bo18bo61bo18bo18bo61bo18bo18bo61bo18bo18bo61bo18bo18bo61bo18bo18bo
61bo18bo18bo61bo18bo18bo61bo18bo18bo33bo27bo18bo18bo27bo$834b3o2b2o
283b2o203bo369b2o2b2o1728bo294b2o6bobo89b2o97bobo97bobo905bobo201bobo
747b2o2b2o195b2o308b2o95bob2o96bob2o96bob2o96bob2o96bob2o96bob2o96bob
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63b11ob4o5b4ob11o63b11ob4o5b4ob11o63b11ob4o5b4ob11o63b11ob4o5b4ob11o
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63b11ob4o5b4ob11o63b11ob4o5b4ob11o63b11ob4o5b4ob11o63b11ob4o5b4ob11o
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63b11ob4o5b4ob11o63b11ob4o5b4ob11o63b11ob4o5b4ob11o63b11ob4o5b4ob11o
63b11ob4o5b4ob11o35bo27b11ob4o5b4ob11o27bo$834bo288bobo431b2o45b2o92bo
bob2o91b2o1528b2o104b2o303bo191bo98b2o107bobo302b2o287bo99bo98b3o3bo
102b2o95b2o452b2o298bo2bobo194bo1750b2o294bobo2bo199bo396bo596b2o162b
2o91b2o7bo99bo96bo2bo95bo2bo96bo2bo29b2o65bo2bo28bo7b2o58bo2bo28bo67bo
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2bob2o20bo2bo60b2obo2bo2bo2bo2bo20bo2bo60b2obo2bo2bo2bo2bob2o17bo2bo
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o2bob2o57b2obo2bo2bo2bo2bo2bo5b2obo2bo2bo2bo2bob2o57b2obo2bo2bo2bo2bo
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2bo2bobo2bo2bo5bo2bo2bo2bo2bo2bob2o58bo2bo2bo2bob2obo2bo5bo2bo2bo2bo2b
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2bo5bo2bo2bo2bo2bo2bob2o61bo2bo2bo2bobo2bo5bo2bo2bo2bo2bo2bo64bo2bo2bo
2bobo2bo5bo2bo2bo2bo2bo4bo62bo2bo2bo2bobo2bo5bo2bo2bo2bo2bobo2bo62bo2b
o2bo2bobo2bo5bo2bo2bo2bob2obo2bo62bo2bo2bo2bobo2bo5bo2bo2bo2bobo2bo2bo
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2bo2bo2bo2bo4bobo55bo2bo2bo2bobo2bo5bo2bobo2bo2bo2bo68bo2bo2bobo2bo5bo
2bobo2bo2bo2bo68bo2bo2bobo2bo5bo2bobo2bo2bo71bo2bo2bobo3bo4bo2bobo2bo
2bo71bo2bo2bobo3bo3bo3bobo2bo2bo71bo2bo2bobo3bo3bo3bobo2bo2bo71bo2bo2b
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2bo2bobo3bo3bo3bobo2bo2bo74bo2bobo3bo3bo3bobo2bo2bo74bo2bobo3bo3bo3bob
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2bo2bo77bobo3bo3bo3bobo2bo2bo77bobo3bo3bo3bobo2bo80bobo3bo3bo3bobo2bo
80bobo3bo3bo3bobo83bobo3bo3bo3bobo70bo12bobo3bo3bo3bobo60bobo7bo12bobo
3bo3bo3bobo70bo12bobo3bo3bo3bobo70bo12bobo3bo3bo3bobo70bo12bobo3bo3bo
3bobo70bo12bobo3bo3bo3bobo70bo12bobo3bo3bo3bobo70bo12bobo3bo3bo3bobo
12bo57bo12bobo3bo3bo3bobo12bo7bobo47bo12bobo3bo3bo3bobo12bo57bo12bobo
3bo3bo3bobo12bo57bo12bobo3bo3bo3bobo12bo57bo12bobo3bo3bo3bobo12bo57bo
12bobo3bo3bo3bobo12bo57bo12bobo3bo3bo3bobo12bo57bo12bobo3bo3bo3bobo12b
o57bo12bobo3bo3bo3bobo12bo57bo12bobo3bo3bo3bobo12bo44bobo10bo12bobo3bo
3bo3bobo12bo57bo12bobo3bo3bo3bobo12bo57bo12bobo3bo3bo3bobo12bo57bo12bo
bo3bo3bo3bobo12bo57bo12bobo3bo3bo3bobo12bo10bobo44bo12bobo3bo3bo3bobo
12bo57bo12bobo3bo3bo3bobo12bo57bo12bobo3bo3bo3bobo12bo57bo12bobo3bo3bo
3bobo12bo57bo12bobo3bo3bo3bobo12bo57bo12bobo3bo3bo3bobo12bo57bo12bobo
3bo3bo3bobo12bo57bo12bobo3bo3bo3bobo12bo57bo12bobo3bo3bo3bobo12bo57bo
12bobo3bo3bo3bobo12bo57bo12bobo3bo3bo3bobo12bo57bo12bobo3bo3bo3bobo12b
o57bo12bobo3bo3bo3bobo12bo57bo12bobo3bo3bo3bobo12bo57bo12bobo3bo3bo3bo
bo12bo57bo12bobo3bo3bo3bobo12bo57bo12bobo3bo3bo3bobo12bo57bo12bobo3bo
3bo3bobo12bo57bo12bobo3bo3bo3bobo12bo18bo38bo12bobo3bo3bo3bobo12bo57bo
12bobo3bo3bo3bobo12bo57bo12bobo3bo3bo3bobo12bo57bo12bobo3bo3bo3bobo12b
o57bo12bobo3bo3bo3bobo12bo57bo12bobo3bo3bo3bobo12bo57bo12bobo3bo3bo3bo
bo12bo57bo12bobo3bo3bo3bobo12bo57bo12bobo3bo3bo3bobo12bo57bo12bobo3bo
3bo3bobo12bo57bo12bobo3bo3bo3bobo12bo30b3o24bo12bobo3bo3bo3bobo12bo24b
3o$835bo289bo198b2o113b2o115b2o37b2o6b2o99bo90bobo1528b2o6b2o96b2o702b
2o208b2o82bo10bobo286b2o4b2o91b2o94b3obo101b3o4bobo94bobo452b2o102bo
199bo1944b2o95bo199bo1198bobo253bobo6b2o98b2o98b2o95b2o98b2o98b2o30b2o
6bobo57b2o30b2o66b2o30b2o66b2o33b2o60bob2o34b2o60bob2o34b2o60bob2o34b
2o60bob2o34b2o60bob2o34b2o60bob2o34b2o60bob2o34b2o60bob2o34b2o60bob2o
34b2o60bob2o35b2obo57bob2o35b2obo57bob2o35b2obo57bob2o35b2obo57bob2o
35b2obo57bob2o35b2obo57bob2o35b2obo57bob2o35b2obo57bob2o35b2obo60b2o
34b2obo58bobo35b2obo58b2o36b2obo58b2o36b2obo58b2o36b2obo58b2o36b2obo
58b2o36b2obo58b2o36b2obo58b2o36b2obo96b2obo95b2o99bobo98b2o98b2o98b2o
98b2o98b2o98b2o98b2o161b2o98b2o33b2o63b2o13b2o18b2o63b2o13b2o3b2o13b2o
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6ob4o3bo3bo5bo3bo3b4ob6o57b6ob4o3bo3bo5bo3bo3b4ob6o57b6ob4o3bo3bo5bo3b
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3bo5bo3bo3b4ob6o50b2o5b6ob4o3bo3bo5bo3bo3b4ob6o50b2o5b6ob4o3bo3bo5bo3b
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5b2o43b2o5b6ob4o3bo3bo5bo3bo3b4ob6o5b2o43b2o5b6ob4o3bo3bo5bo3bo3b4ob6o
5b2o43b2o5b6ob4o3bo3bo5bo3bo3b4ob6o5b2o43b2o5b6ob4o3bo3bo5bo3bo3b4ob6o
5b2o43b2o5b6ob4o3bo3bo5bo3bo3b4ob6o5b2o$1325b2o2b3o106b2o118bo37b2o7bo
189bo1529bo7b2o102b2o482b2o200bo13bo208bobo80b2o10bo287bobo3b2o92bobo
95bo2bo102bo4bo96bo453bo103b2o607b2o5bo80b2o1310bo138bo94b2o690b2o3bo
207b2o287bo99bo98b3o3bo257bo543bo2258b2o1035b2o862b2o98b2o33b2o63b2o
33b2o63b2o33b2o63b2o33b2o63b2o33b2o63b2o33b2o63b2o33b2o63b2o12bo7bo12b
2o59bo2bobo12bo7bo12b2o61bo2bo12bo7bo12b2o61bo2bob2o9bo7bo12b2o61bo2bo
2bo9bo7bo12b2o61bo2bo2bob2o6bo7bo12b2o61bo2bo2bo2bo6bo7bo12b2o61bo2bo
2bo2bo6bo7bo12bobo2bo57bo2bo2bo2bo6bo7bo12bo2bo59bo2bo2bo2bo6bo7bo9b2o
bo2bo59bo2bo2bo2bo6bo7bo9bo2bo2bo59bo2bo2bo2bo6bo7bo6b2obo2bo2bo53bo5b
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2bo2bo6bo7bo6bo2bo2bo2bo63bobo2bo6bo7bo6bo2bo2bo2bo63bobo2bo6bo7bo6bo
2bo2bo2bo63bobo2bo6bo7bo6bo2bo2bo2bo63bobo2bo6bo7bo6bo2bo2bo2bo63bobo
3bo5bo7bo6bo2bo2bo2bo5bo57bobo3bo5bo7bo6bo2bo2bo10bobo53bobo3bo5bo7bo
6bo2bo2bo12bo53bobo3bo5bo7bo6bo2bobo67bobo3bo5bo7bo6bo2bobo67bobo3bo5b
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7bo5bo3bobo59bo7bobo3bo5bo7bo5bo3bobo67bobo3bo5bo7bo5bo3bobo67bobo3bo
5bo7bo5bo3bobo50bo16bobo3bo5bo7bo5bo3bobo67bobo3bo5bo7bo5bo3bobo7bo59b
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50bobo3bo5bo7bo5bo3bobo67bobo3bo5bo7bo5bo3bobo67bobo3bo5bo7bo5bo3bobo
67bobo3bo5bo7bo5bo3bobo67bobo3bo5bo7bo5bo3bobo67bobo3bo5bo7bo5bo3bobo
67bobo3bo5bo7bo5bo3bobo67bobo3bo5bo7bo5bo3bobo67bobo3bo5bo7bo5bo3bobo
67bobo3bo5bo7bo5bo3bobo67bobo3bo5bo7bo5bo3bobo67bobo3bo5bo7bo5bo3bobo
67bobo3bo5bo7bo5bo3bobo67bobo3bo5bo7bo5bo3bobo67bobo3bo5bo7bo5bo3bobo
67bobo3bo5bo7bo5bo3bobo67bobo3bo5bo7bo5bo3bobo43b2o22bobo3bo5bo7bo5bo
3bobo67bobo3bo5bo7bo5bo3bobo22bobo42bobo3bo5bo7bo5bo3bobo67bobo3bo5bo
7bo5bo3bobo67bobo3bo5bo7bo5bo3bobo54bo2bo9bobo3bo5bo7bo5bo3bobo54bo2bo
9bobo3bo5bo7bo5bo3bobo54bo2bo9bobo3bo5bo7bo5bo3bobo54bo2bo9bobo3bo5bo
7bo5bo3bobo9bo2bo41bo2bo9bobo3bo5bo7bo5bo3bobo9bo2bo41bo2bo9bobo3bo5bo
7bo5bo3bobo9bo2bo41bo2bo9bobo3bo5bo7bo5bo3bobo9bo2bo41bo2bo9bobo3bo5bo
7bo5bo3bobo9bo2bo27bo13bo2bo9bobo3bo5bo7bo5bo3bobo9bo2bo13bo$6bo4b2o
196bo4b2o196bo4b2o496bo4b2o402bo4bo110bo105bo48bo3b3o100b2o1625b3o3bo
101bobo482b2o2bo196b2o221bo78bo3bobo305bo188bo105bo96b3o561bobo405b3o
193b2o4b2o3b2o79bobo10bo1292b2o4b2o232bobo389b3o299b2ob2o105b3o88bo10b
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2o5b2o91b2o5b2o91b2o5b2o91b2o5b2o91b2o5b2o91b2o5b2o91b2o5b2o13bo3bobo
71b2o5b2o91b2o5b2o91b2o5b2o91b2o5b2o68bo22b2o5b2o66b2o6b2o15b2o5b2o76b
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6bo3bo3bo58bob2o3bo3bo6b2o5b2o6bo3bo3bo58bob2o3bo3bo6b2o5b2o6bo3bo3bo
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6b2o5b2o6bo3bo3b2obo55bob2o3bo3bo6b2o5b2o6bo3bo3b2obo55bob2o3bo3bo6b2o
5b2o6bo3bo3b2obo55bob2o3bo3bo6b2o5b2o6bo3bo3b2obo55bob2o3bo3bo6b2o5b2o
6bo3bo3b2obo55bob2o3bo3bo6b2o5b2o6bo3bo3b2obo55bob2o3bo3bo6b2o5b2o6bo
3bo3b2obo55bob2o3bo3bo6b2o5b2o6bo3bo3b2obo55bob2o3bo3bo6b2o5b2o6bo3bo
3b2obo55bob2o3bo3bo6b2o5b2o6bo3bo3b2obo55bob2o3bo3bo6b2o5b2o6bo3bo3b2o
bo55bob2o3bo3bo6b2o5b2o6bo3bo3b2obo55bob2o3bo3bo6b2o5b2o6bo3bo3b2obo
55bob2o3bo3bo6b2o5b2o6bo3bo3b2obo36bobo16bob2o3bo3bo6b2o5b2o6bo3bo3b2o
bo55bob2o3bo3bo6b2o5b2o6bo3bo3b2obo55bob2o3bo3bo6b2o5b2o6bo3bo3b2obo
55bob2o3bo3bo6b2o5b2o6bo3bo3b2obo55bob2o3bo3bo6b2o5b2o6bo3bo3b2obo48bo
2bo3bob2o3bo3bo6b2o5b2o6bo3bo3b2obo48bo2bo3bob2o3bo3bo6b2o5b2o6bo3bo3b
2obo48bo2bo3bob2o3bo3bo6b2o5b2o6bo3bo3b2obo48bo2bo3bob2o3bo3bo6b2o5b2o
6bo3bo3b2obo3bo2bo41bo2bo3bob2o3bo3bo6b2o5b2o6bo3bo3b2obo3bo2bo41bo2bo
3bob2o3bo3bo6b2o5b2o6bo3bo3b2obo3bo2bo41bo2bo3bob2o3bo3bo6b2o5b2o6bo3b
o3b2obo3bo2bo41bo2bo3bob2o3bo3bo6b2o5b2o6bo3bo3b2obo3bo2bo27b2o12bo2bo
3bob2o3bo3bo6b2o5b2o6bo3bo3b2obo3bo2bo12b2o$6b2o4b2o195b2o4b2o195b2o4b
2o495b2o4b2o407bo89b2o123b2o52bo101bobo1627bo105bo483bo3b2o195bobo5b2o
5b2o286b2o201bo417b2o83bo969bo194bobo3bo5bobo80bo10b2o1292b2o3bobo625b
o291bo6bo3bobo104bo89b2o10bo287bobo3b2o92bobo95bo2bo598bo2b2o453b2o
953b2o855bo198b2o831bo199b2o1177bo109bo187bobo97bobo9bobo71bo97b2o542b
o100b2o555b2o100b2o98bo99bo99bo98bobo97bobo97bobo37b2o58bobo35b2o60bob
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2bobo5bo23bo5bobo57bo2bo6bo23bo5bobo43b2o13bo2bo5bo23bo5bobo57b2o2bo5b
o23bo5bobo57b2o2bo5bo23bo5bobo2b3o52b2o2bo5bo23bo6bo2bo55b2o2bo5bo23bo
5bo2bo13b2o41b2o2bo5bo23bo5bo2b2o55b2o2bo5bo23bo5bo2b2o55b2o2bo5bo23bo
5bo2b2o55b2o2bo5bo23bo5bo2b2o55b2o2bo5bo23bo5bo2b2o55b2o2bo5bo23bo5bo
2b2o55b2o2bo5bo23bo5bo2b2o55b2o2bo5bo23bo5bo2b2o55b2o2bo5bo23bo5bo2b2o
55b2o2bo5bo23bo5bo2b2o55b2o2bo5bo23bo5bo2b2o55b2o2bo5bo23bo5bo2b2o55b
2o2bo5bo23bo5bo2b2o55b2o2bo5bo23bo5bo2b2o41bo13b2o2bo5bo23bo5bo2b2o55b
2o2bo5bo23bo5bo2b2o13bo41b2o2bo5bo23bo5bo2b2o55b2o2bo5bo23bo5bo2b2o55b
2o2bo5bo23bo5bo2b2o55b2o2bo5bo23bo5bo2b2o55b2o2bo5bo23bo5bo2b2o55b2o2b
o5bo23bo5bo2b2o46b3o6b2o2bo5bo23bo5bo2b2o49b2o4b2o2bo5bo23bo5bo2b2o49b
2o4b2o2bo5bo23bo5bo2b2o49b2o4b2o2bo5bo23bo5bo2b2o6b3o40b2o4b2o2bo5bo
23bo5bo2b2o4b2o43b2o4b2o2bo5bo23bo5bo2b2o4b2o43b2o4b2o2bo5bo23bo5bo2b
2o4b2o43b2o4b2o2bo5bo23bo5bo2b2o4b2o43b2o4b2o2bo5bo23bo5bo2b2o4b2o27bo
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180bobo3bo14b2o480bobo3bo14b2o401b2o81b2o122bobo52bo102bo193bo4b2o196b
o4b2o196bo4b2o196bo4b2o196bo4b2o196bo4b2o196bo4b2o208bo99b2o111b3o282b
3o94bobo201b2o5b2o286bobo7bo192b2o198b3o215b2o83bo961b3o7bo195bo102bob
o3bo1287bo632bo7b3o282b2o117bo7b2o75bo3bobo305bo188bo601bo3bobo451bobo
10bo931bo10bobo847b2o4b2o90b3o105bobo830b2o4b2o99b3o89bobo755b3o149b3o
266b2o109b2o187b2o98b2o9b2o72b2o2b2o631b2o2b2o860b3o97b3o97b3o96bo99bo
99bo99bo99bo34b3o62bo34b3o62bo34b3o62bo37bo61bo37bo61bo6b2o29bo61bo6b
2o21b2o6bo58b2o8b2o21b2o6bo43bobo15b2o5b2o21b2o6bo61b2o5b2o21b2o6bo61b
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61bo6b2o21b2o6bo61bo6b2o3b2o16b2o6bo61bo6b2o3b2o11b2o3b2o6bo61bo6b2o3b
2o11b2o3b2o6bo61bo6b2o3b2o11b2o3b2o6bo61bo6b2o3b2o11b2o3b2o6bo61bo6b2o
3b2o11b2o3b2o6bo61bo6b2o3b2o11b2o3b2o6bo61bo6b2o3b2o11b2o3b2o6bo61bo6b
2o3b2o11b2o3b2o6bo61bo6b2o3b2o11b2o3b2o6bo61bo6b2o3b2o11b2o3b2o6bo61bo
6b2o3b2o11b2o3b2o6bo44b2o15bo6b2o3b2o11b2o3b2o6bo61bo6b2o3b2o11b2o3b2o
6bo15b2o44bo6b2o3b2o11b2o3b2o6bo61bo6b2o3b2o11b2o3b2o6bo61bo6b2o3b2o
11b2o3b2o6bo61bo6b2o3b2o11b2o3b2o6bo61bo6b2o3b2o11b2o3b2o6bo61bo6b2o3b
2o11b2o3b2o6bo51bo9bo6b2o3b2o11b2o3b2o6bo61bo6b2o3b2o11b2o3b2o6bo61bo
6b2o3b2o11b2o3b2o6bo61bo6b2o3b2o11b2o3b2o6bo9bo51bo6b2o3b2o11b2o3b2o6b
o61bo6b2o3b2o11b2o3b2o6bo61bo6b2o3b2o11b2o3b2o6bo61bo6b2o3b2o11b2o3b2o
6bo61bo6b2o3b2o11b2o3b2o6bo61bo6b2o3b2o11b2o3b2o6bo$26bobo81b2o117bobo
81b2o117bobo81b2o417bobo81b2o201b2o114bobo79bo20b2o454b2o4b2o195b2o4b
2o195b2o4b2o195b2o4b2o195b2o4b2o195b2o4b2o195b2o4b2o307bobo110bo284bo
302bo6bo294b2o192bobo199bo217bo1046bo311b2o1928bo283bobo124b2o76b2o
201bo894bo464bo10b2o929b2o10bo850b2o3bobo91bo105bo205b2o4b2o195b2o4b2o
195b2o4b2o70b2o140bobo3b2o100bo93bo186b2o4b2o189b2o4b2o189b2o4b2o120b
2o47bo16bo115bo16bo72b2o101b2o91bobo107bobo371bobob2o91b2o540b2obobo
101b2o541bo110b2o104bo100bo99bo347bo87b2o93bo98bo99bo549bo212b3o97b3o
97b3o54bo42b3o97b3o39b3o55b3o13bo25b3o55b3o13bo11bo13b3o55b3o13bo11bo
13b3o55b3o13bo11bo13b3o55b3o13bo11bo13b3o55b3o13bo11bo13b3o55b3o13bo
11bo13b3o55b3o13bo11bo13b3o55b3o13bo11bo13b3o55b3o13bo11bo13b3o55b3o
13bo11bo13b3o55b3o13bo11bo13b3o40bobo12b3o13bo11bo13b3o55b3o13bo11bo
13b3o12bobo40b3o13bo11bo13b3o55b3o13bo11bo13b3o55b3o13bo11bo13b3o55b3o
13bo11bo13b3o55b3o13bo11bo13b3o55b3o13bo11bo13b3o47bo7b3o13bo11bo13b3o
55b3o13bo11bo13b3o55b3o13bo11bo13b3o55b3o13bo11bo13b3o7bo47b3o13bo11bo
13b3o55b3o13bo11bo13b3o55b3o13bo11bo13b3o55b3o13bo11bo13b3o55b3o13bo
11bo13b3o55b3o13bo11bo13b3o$19b2o5bo84b2o3b2o104b2o5bo84b2o3b2o104b2o
5bo84b2o3b2o404b2o5bo84b2o3b2o196b2o3b2o108bo101b2o454bobo3bo14b2o180b
obo3bo14b2o180bobo3bo14b2o180bobo3bo14b2o180bobo3bo14b2o180bobo3bo14b
2o180bobo3bo14b2o293bo113bo284bo3b2o598bobo186bo9b2o194bo1264bo304bo7b
obo88bo4b2o196bo4b2o196bo4b2o196bo4b2o196bo4b2o196bo4b2o818bo180bo4b2o
224bo74bobo7bo192b2o198b3o154b3o293bo242b2o325bo147bobo3bo921bo3bobo
859bo98bo313b2o2b2o197b2o2b2o197b2o2b2o72b2o147bo100bo280b2o2b2o191b2o
2b2o191b2o2b2o120b2o47bo16b2o115b2o16bo71bobo99bobo581bo90bobo538bo
106bobo541b2o109bobo95bo107b2o98bobo345b2o86bobo101bo90b2o97bobo761bo
99bo99bo99bo99bo43bo55bo15bobo25bo55bo15bobo7bobo15bo55bo6b2o7bobo7bob
o15bo55bo6b2o7bobo7bobo7b2o6bo55bo6b2o7bobo7bobo7b2o6bo55bo6b2o7bobo7b
obo7b2o6bo55bo6b2o7bobo7bobo7b2o6bo55bo6b2o7bobo7bobo7b2o6bo55bo6b2o7b
obo7bobo7b2o6bo55bo6b2o7bobo7bobo7b2o6bo55bo6b2o7bobo7bobo7b2o6bo55bo
6b2o7bobo7bobo7b2o6bo55bo6b2o7bobo7bobo7b2o6bo55bo6b2o7bobo7bobo7b2o6b
o55bo6b2o7bobo7bobo7b2o6bo55bo6b2o7bobo7bobo7b2o6bo55bo6b2o7bobo7bobo
7b2o6bo55bo6b2o7bobo7bobo7b2o6bo50bo4bo6b2o7bobo7bobo7b2o6bo55bo6b2o7b
obo7bobo7b2o6bo55bo6b2o7bobo7bobo7b2o6bo55bo6b2o7bobo7bobo7b2o6bo4bo
50bo6b2o7bobo7bobo7b2o6bo55bo6b2o7bobo7bobo7b2o6bo55bo6b2o7bobo7bobo7b
2o6bo55bo6b2o7bobo7bobo7b2o6bo55bo6b2o7bobo7bobo7b2o6bo55bo6b2o7bobo7b
obo7b2o6bo55bo6b2o7bobo7bobo7b2o6bo55bo6b2o7bobo7bobo7b2o6bo$18b2o90bo
4b2o104b2o90bo4b2o104b2o90bo4b2o404b2o90bo4b2o196bo4b2o213bo474bobo81b
2o117bobo81b2o117bobo81b2o117bobo81b2o117bobo81b2o117bobo81b2o117bobo
81b2o222bo78b3o297b3o8bobo192b3o507b2o82b2o7b2o197b3o1255bo14b2o293b2o
97b2o4b2o195b2o4b2o195b2o4b2o195b2o4b2o195b2o4b2o195b2o4b2o806b2o14bo
175b2o4b2o307b2o192bobo199bo156bo293b2o3b2o235bobo319b2o3b2o152b2o921b
2o1276bo6bo195bo6bo195bo6bo70bo530bo6bo189bo6bo189bo6bo121bo51bo11bobo
113bobo11bo68b2o6bo103bo6b2o279b2o117b2o264bo649bo455b2o83bobo17b3o89b
o98bo207bo104b2o126b2o92b3o17bobo87bo100bo191bo93b2o266b2o443b2o471b2o
98b2o7b2o80bo8b2o7b2o80bo8b2o7b2o8bo64b2o5bo8b2o7b2o8bo64b2o5bo8b2o7b
2o8bo64b2o5bo8b2o7b2o8bo5b2o57b2o5bo8b2o7b2o8bo5b2o57b2o5bo8b2o7b2o8bo
5b2o57b2o5bo8b2o7b2o8bo5b2o57b2o5bo8b2o7b2o8bo5b2o57b2o5bo8b2o7b2o8bo
5b2o57b2o5bo8b2o7b2o8bo5b2o57b2o5bo8b2o7b2o8bo5b2o38bo18b2o5bo8b2o7b2o
8bo5b2o57b2o5bo8b2o7b2o8bo5b2o18bo38b2o5bo8b2o7b2o8bo5b2o57b2o5bo8b2o
7b2o8bo5b2o52bo4b2o5bo8b2o7b2o8bo5b2o52bo4b2o5bo8b2o7b2o8bo5b2o52bo4b
2o5bo8b2o7b2o8bo5b2o52bo4b2o5bo8b2o7b2o8bo5b2o4bo47bo4b2o5bo8b2o7b2o8b
o5b2o4bo47bo4b2o5bo8b2o7b2o8bo5b2o4bo47bo4b2o5bo8b2o7b2o8bo5b2o4bo47bo
4b2o5bo8b2o7b2o8bo5b2o4bo47bo4b2o5bo8b2o7b2o8bo5b2o4bo47bo4b2o5bo8b2o
7b2o8bo5b2o4bo47bo4b2o5bo8b2o7b2o8bo5b2o4bo47bo4b2o5bo8b2o7b2o8bo5b2o
4bo$20bo96bo105bo96bo105bo96bo405bo96bo202bo680b2o5bo84b2o3b2o104b2o5b
o84b2o3b2o104b2o5bo84b2o3b2o104b2o5bo84b2o3b2o104b2o5bo84b2o3b2o104b2o
5bo84b2o3b2o104b2o5bo84b2o3b2o215b2o80bo14b3o74bo23b3o181bo8bo196bo
507bobo80bobo9bo196bo1257b2o13bobo2b2o287bobo96bobo3bo14b2o180bobo3bo
14b2o180bobo3bo14b2o180bobo3bo14b2o180bobo3bo14b2o180bobo3bo14b2o787b
2o2bobo13b2o174bobo3bo14b2o293bobo186bo9b2o194bo156bo293bobo2bobo111b
2o444bobo2bobo79b2o62bo7bobo88bo4b2o196bo4b2o196bo4b2o196bo4b2o215bobo
7bo94b2o4bo190b2o4bo190b2o4bo190b2o4bo264b2o1043b2o855b2o4b3o125b3o4b
2o67bobo117bobo80b3o111b3o80bobo3bo109bo3bobo84b2o84b2o633b2o553b2o6b
2o100bo3bo188b3ob2o309bobo126b2o6b2o85bo3bo201b2ob3o282bobo261b2o3bobo
441bobo3b2o362b2o115b2o176bobo97bobo23bobo65bo5bobo23bobo65bo5bobo23bo
bo65bo5bobo23bobo5bo59bo5bobo23bobo5bo59bo5bobo23bobo5bo59bo5bobo23bob
o5bo59bo5bobo23bobo5bo59bo5bobo23bobo5bo59bo5bobo23bobo5bo59bo5bobo23b
obo5bo39b2o18bo5bobo23bobo5bo59bo5bobo23bobo5bo18b2o39bo5bobo23bobo5bo
59bo5bobo23bobo5bo51b3o5bo5bobo23bobo5bo52bobo4bo5bobo23bobo5bo52bobo
4bo5bobo23bobo5bo52bobo4bo5bobo23bobo5bo5b3o44bobo4bo5bobo23bobo5bo4bo
bo45bobo4bo5bobo23bobo5bo4bobo45bobo4bo5bobo23bobo5bo4bobo45bobo4bo5bo
bo23bobo5bo4bobo45bobo4bo5bobo23bobo5bo4bobo45bobo4bo5bobo23bobo5bo4bo
bo45bobo4bo5bobo23bobo5bo4bobo45bobo4bo5bobo23bobo5bo4bobo$1909b2o90bo
4b2o104b2o90bo4b2o104b2o90bo4b2o104b2o90bo4b2o104b2o90bo4b2o104b2o90bo
4b2o104b2o90bo4b2o216bobo78bo15bo76b2o11b3o8bo182bo205bo500b2o6bo292bo
185b3o1058b3o6bobo13bo3b2o383b2o23bobo81b2o117bobo81b2o117bobo81b2o
117bobo81b2o117bobo81b2o117bobo81b2o704b2o3bo13bobo6b3o185bobo397b2o
82b2o7b2o197b3o172b3o278bo110bobo6b2o436bo78b2o6bobo61b2o97b2o4b2o195b
2o4b2o195b2o4b2o195b2o4b2o223b2o93b2o4b2o189b2o4b2o189b2o4b2o189b2o4b
2o263b2o1045b2o853bobo4bo129bo4bobo68bo117bo84bo111bo84bo3b2o107b2o3bo
85bobo83bobo633bobo553b2o7bo99b2o3bo87b2o9b3o90bobo300b2o6bo127bo7b2o
85bo3b2o93b3o9b2o93bobo288bo6b2o252bobo3bo445bo3bobo362b2o113b2o178b2o
98b2o23b2o64bo8b2o23b2o65bo7b2o23b2o65bo7b2o23b2o8bo56bo7b2o23b2o7bo
57bo7b2o23b2o7bo57bo7b2o23b2o7bo57bo7b2o23b2o7bo57bo7b2o23b2o7bo57bo7b
2o23b2o7bo57bo7b2o23b2o7bo37bobo17bo7b2o23b2o7bo57bo7b2o23b2o7bo17bobo
37bo7b2o23b2o7bo57bo7b2o23b2o7bo57bo7b2o23b2o7bo51bobo3bo7b2o23b2o7bo
51bobo3bo7b2o23b2o7bo51bobo3bo7b2o23b2o7bo51bobo3bo7b2o23b2o7bo3bobo
45bobo3bo7b2o23b2o7bo3bobo45bobo3bo7b2o23b2o7bo3bobo45bobo3bo7b2o23b2o
7bo3bobo45bobo3bo7b2o23b2o7bo3bobo45bobo3bo7b2o23b2o7bo3bobo45bobo3bo
7b2o23b2o7bo3bobo45bobo3bo7b2o23b2o7bo3bobo$1911bo96bo105bo96bo105bo
96bo105bo96bo105bo96bo105bo96bo105bo96bo313bo74bobo7bo3bo11bo887bobo
487bo1060bo28bo202b3o178b2o15b2o5bo84b2o3b2o104b2o5bo84b2o3b2o104b2o5b
o84b2o3b2o104b2o5bo84b2o3b2o104b2o5bo84b2o3b2o104b2o5bo84b2o3b2o697bo
28bo180b2o5bo399bobo80bobo9bo196bo157b3o14bo81b3o23bo285bo6bobo208bo
23b3o278bobo6bo62bobo96bobo3bo14b2o180bobo3bo14b2o180bobo3bo14b2o180bo
bo3bo14b2o209bobo78b2o14bo3bobo174b2o14bo3bobo174b2o14bo3bobo174b2o14b
o3bobo264bo1043bo863bo127bo278bo113bo86bobo107bobo90bo85bo193bo4b2o
196bo4b2o230bo199b2o4bo190b2o4bo151bo3b3o102bobo90bobo9bo92bo191bo4b2o
4b3o96bobo138b3o3bo88bobo94bo9bobo94bo194b3o4b2o4bo87bobo253bo187b3o
263bo209b3o151bo7b2o99b2o7bo73b2o131b2o160b2o99b2o98b2o40b2o56b2o39b2o
57b2o39b2o57b2o39b2o57b2o39b2o57b2o39b2o57b2o39b2o57b2o39b2o57b2o39b2o
57b2o39b2o57b2o39b2o57b2o39b2o47b3o7b2o39b2o52bo4b2o39b2o52bo4b2o39b2o
52bo4b2o39b2o7b3o42bo4b2o39b2o4bo47bo4b2o39b2o4bo47bo4b2o39b2o4bo47bo
4b2o18b2o19b2o4bo47bo4b2o18b2o19b2o4bo47bo4b2o39b2o4bo47bo4b2o39b2o4bo
47bo4b2o39b2o4bo$3625b2o3bo413b3o484bo486bo1060bo232bo179bo16b2o90bo4b
2o104b2o90bo4b2o104b2o90bo4b2o104b2o90bo4b2o104b2o90bo4b2o104b2o90bo4b
2o728bo178b2o398b2o6bo292bo158bo15bo82bo8b3o11b2o292bo210b2o11b3o8bo
282bo164b2o23bobo81b2o117bobo81b2o117bobo81b2o117bobo81b2o205bobo23b2o
89b2o78bobo114b2o78bobo114b2o78bobo114b2o161b2o225b2o88b3o16b2o92b2o
88b3o16b2o92b2o88b3o16b2o315b2o171b2o89b2o16b3o85b2o89b2o16b3o85b2o89b
2o16b3o391b2o99b2o93b3o105b3o92b3o99b3o81b2o29b2o260b2o4b2o195b2o4b2o
428b2o4b2o189b2o4b2o155bo99b2o98bo10bo283b2o4b2o3bo8b2o90bo140bo98b2o
88bo10bo283b2o8bo3b2o4b2o87bo445bo116b3o9b2o343bo69b2o9b3o78bobo97bobo
82b2o129b2o1554bo357bo368bo2bo96bo2bo95b3ob3o93b3ob3o93b3ob3o$b2o201b
2o201b2o501b2o2501b2o209bobo417bo8b2o562b2o1472b2o220bo197bo96bo105bo
96bo105bo96bo105bo96bo105bo96bo105bo96bo714b2o192bo396bobo457bo98bo11b
o3bo7bobo501bobo7bo3bo11bo447b2o15b2o5bo84b2o3b2o104b2o5bo84b2o3b2o
104b2o5bo84b2o3b2o104b2o5bo84b2o3b2o201bo5b2o15b2o84b2o3b2o81bo5b2o
101b2o3b2o81bo5b2o101b2o3b2o81bo5b2o101b2o3b2o161bobo225bobo89bo15b2o
93bobo89bo15b2o93bobo89bo15b2o316bobo169bobo90b2o15bo86bobo90b2o15bo
86bobo90b2o15bo392b2o101b2o92bo109bo92bo103bo82b2o27b2o260bobo3bo14b2o
180bobo3bo14b2o400b2o14bo3bobo174b2o14bo3bobo155bo97bobo197b3o105b2o
85bobo3bo6bo6b2o231bo99bobo197b3o90b2o91b2o6bo6bo3bobo169b3o2b3o85b3o
2b3o179b2o80bo109bo9bo9bobo224b2o117bo67bobo9bo9bo70bo101bo81bo7b2o
115b2o7bo144bo275bo1131bo359bo367bobo97bobo$obo112b2o86bobo112b2o86bob
o112b2o386bobo112b2o201b2o2183bobo615b3o12bo6b2o564b2o1470bobo2245bobo
590bo567bo3b2o297bo223b2o3bo296bo160bo16b2o90bo4b2o104b2o90bo4b2o104b
2o90bo4b2o104b2o90bo4b2o209b2o16bo84b2o4bo87b2o101b2o4bo87b2o101b2o4bo
87b2o101b2o4bo162bo217b2o6bo90bo18bo84b2o6bo90bo18bo84b2o6bo90bo18bo
315bo173bo6b2o81bo18bo87bo6b2o81bo18bo87bo6b2o81bo18bo393bo99bo95bo
107bo94bo101bo82bo16b3o12bo280bobo81b2o117bobo81b2o315bobo114b2o78bobo
114b2o160bo102b2o95bo104bobo107bo98b2o230bo95b2o102bo92bobo89bo99b2o
90bo4bo89bo4bo171b2o6bobo189b2o7bo10bo225bobo6b2o179bo10bo7b2o262bobo
113bobo153b2o271b2o1334b2o98b2o98b2o98b2o53b2o43b2o53b2o43b2o25bo27b2o
43b2o25bo27b2o43b2o53b2o43b2o15b3o35b2o43b2o15b3o17b3o15b2o$2bo111b2o
89bo111b2o89bo111b2o389bo111b2o201b2o664b2o201b2o201b2o201b2o201b2o
201b2o201b2o302bo615bo23bo562bo1474bo2245bo678b2o484bobo295b2o222bobo
300b2o178bo96bo105bo96bo105bo96bo105bo96bo207bo102bo93bo102bo93bo102bo
93bo102bo386bobo200bobo200bobo613bobo194bobo194bobo1094bo288b2o5bo84b
2o3b2o104b2o5bo84b2o3b2o311bo5b2o101b2o3b2o81bo5b2o101b2o3b2o259b2o2bo
bo94bo107bo205b2o327bobo2b2o98bo91bo192b2o90bo4bo87bo4bo171bobo6bo190b
obo246bo6bobo197bobo261bo117bo152b2o273b2o1233bo98bo2bo96bo2bo96bo2bo
53bo42bo2bo51bo2bo41bo2bo51bo2bo41bo2bo51bo2bo41bo2bo51bo2bo41bo2bo51b
o2bo41bo2bo51bo2bo41bo2bo51bo2bo$116bo202bo202bo502bo202bo662bobo112b
2o86bobo112b2o86bobo112b2o86bobo112b2o86bobo112b2o86bobo112b2o86bobo
112b2o786b2o17bo30b2o985b2o1442b3o2522b2o781bobo523bobo2175bo202bo202b
o613bo196bo196bo1097bo286b2o90bo4b2o104b2o90bo4b2o319b2o101b2o4bo87b2o
101b2o4bo257bobo4bo196b3o9b2o103b2o95bo326bo4bobo182b2o9b3o81b2o102bo
364bo221b2o230bo176b2o2060b3o2b2o99bobo97bobo97bobo53b2o2b3o37bobo51bo
bo43bobo51bobo43bobo51bobo43bobo20bo4b2o24bobo43bobo7b2o42bobo43bobo
42b2o7bobo43bobo51bobo$1893bo111b2o89bo111b2o89bo111b2o89bo111b2o89bo
111b2o89bo111b2o89bo111b2o788b2o46b2o473bo66b3o41b2o400bobo1443bo199b
2o201b2o201b2o201b2o201b2o1004b2o502bo5992b2o294bo96bo105bo96bo317bo
102bo93bo102bo266bo203bo9bobo101b2o428bo183bobo9bo84b2o188b2o107b2o
389bobo405bobo2062bo2bobo99bo99bo99bo53bobo2bo40bo53bo45bo25b2o26bo45b
o53bo45bo20bobo3bobo24bo45bo7bobo7b3o33bo45bo33b3o7bobo7bo45bo53bo$
2007bo202bo202bo202bo202bo202bo202bo786bo50bo471b2o68bo40b2o401bo1026b
3o415bo111b2o86bobo112b2o86bobo112b2o86bobo112b2o86bobo112b2o86bobo
112b2o729b3o157bobo1975b3o945b3o2747b2o151b2o668b2o1681bo10bo105bo613b
o10bo82bo189bobo107bobo170bo204b3o10bo227bo181bo10b3o2048bo365bo164bob
o2b2o190b2o3bo82bo7bo117bo7bo$4535bobo66bo43bo1429bo41b3o482b2o89bo
111b2o89bo111b2o89bo111b2o89bo111b2o89bo111b2o686b3o41bo161bo421bo66b
3o41b2o1443bo199b2o201b2o201b2o338bo198b2o195b2o195b2o2156b2o149b2o
668bo2700bo107bo172b2o189bo13bo239b2o194bo13bo443bobo103b3o137bobo91b
3o1781bo2bobo286bo115bo51b3o75b3o$6077bo42bo486bo202bo202bo202bo202bo
202bo687bo42bo581b2o68bo40b2o1443bo111b2o86bobo112b2o86bobo112b2o86bob
o112b2o225bo86b2o109bobo83b2o109bobo83b2o109bobo83b2o2069bo153bo473b2o
95b2o113b3o2960bobo189b2o13bo238bobo192bo13b2o444b2o89b3o13bo137b2o92b
o13b3o1235b3o359b3o170bo458bo75bo$6114b2o5bo2187bo5b2o618bobo66bo43bo
1553b2o89bo111b2o89bo111b2o89bo111b2o314b2o108bo86b2o108bo86b2o108bo
86b2o390bo71b2o129bo71b2o129bo71b2o530bo126b2o68bo126b2o68bo126b2o772b
2o97b2o112bo258b2o201b2o450b2o195b2o650b2o745b2o642bobo461bobo443bo92b
o12bo139bo93bo12bo1237bo363bo162bo465bo77bo$6113b2o2201b2o2286bo202bo
202bo202bo312bo196bo196bo196bo391b2o72b2o127b2o72b2o127b2o72b2o529b2o
124b2o69b2o124b2o69b2o124b2o775bo95bo115bo256bobo112b2o86bobo112b2o
336bobo83b2o109bobo83b2o563bobo745bobo144bo159bo1338bo261bo1237bo361bo
163b2o96b2o392b2o23b2o$4504b2o1571bo37bo2199bo37bo4155bobo70bo129bobo
70bo129bobo70bo530bobo126bo67bobo126bo67bobo126bo1245bo111b2o89bo111b
2o337bo86b2o108bo86b2o564bo745bo146b2o157b2o1255b3o95b2o126b3o100b2o
1777bobo95bobo2b2o372b2o13bobo23bobo13b2o$4505b2o47b2o1521b2o2273b2o
7048bo202bo422bo196bo1458bobo157bobo1254bo91b2o3b2o129bo101b2o3b2o
1871bo2bobo370bobo6b2o7bo23bo7b2o6bobo$4504bo49bobo1519bobo2273bobo
549b2o10196bo89bobo5bo127bo101bo5bobo1873bo374bo5bobo39bobo5bo$4554bo
4350b2o47b2o10238bo241bo2258bo39bo$4011b2o4891bo49bobo3521b2o201b2o
201b2o665b2o195b2o195b2o3738b2o157b2o1246b2o5b2o229b2o5b2o$4012b2o
4940bo3524b2o47b2o152b2o47b2o152b2o47b2o565b2o47b2o146b2o47b2o146b2o
47b2o3738bobo157bobo1244bobo6b2o227b2o6bobo1974b2o$4011bo8466bo49bobo
150bo49bobo150bo49bobo563bobo49bo144bobo49bo144bobo49bo3739bo157bo
1248bo5bo231bo5bo1976bobo374b2o45b2o$12528bo202bo202bo567bo196bo196bo
7417bo370b3o2bobo45bobo2b3o$17712bo105bo3854b3o11bo4bo45bo4bo11b3o$
17711b2o105b2o3855bo10bo57bo10bo$17711bobo103bobo3854bo81bo$21680b2o
67b2o$21681b2o65b2o$21680bo69bo8$21672b2o$21673b2o$21672bo$21761bo$
21760b2o$21760bobo2$21766b2o$21765b2o$21767bo!
Goldtiger997 wrote:
July 1st, 2021, 8:00 am
Once we synthesise the next-size-up greyship, I think we should have all the pieces to synthesise arbitrarily large greyships...
I'm still not completely sure about this, so I will check that.

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dvgrn
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Re: Small Spaceship Syntheses

Post by dvgrn » July 16th, 2021, 10:39 am

Goldtiger997 wrote:
July 16th, 2021, 9:30 am
This should be a complete synthesis of the "next-size-up" greyship, starting from an xs156 which was synthesised as part of the Canada Grey synthesis...
Thank you again for keeping all the steps exactly aligned at a standard distance apart. That really simplifies the sanity-checking.

There are two areas with minor problems:

1) the addition of the single connecting dots in the third row from the bottom isn't shown between the following two stages -- around #42 from the right end, I believe:

Code: Select all

x = 155, y = 82, rule = B3/S23
10$19bo13bo85bo13bo$18bobo11bobo83bobo11bobo$19bo13bo85bo13bo$20b3ob2o
b2ob3o87b3ob2ob2ob3o$22bobo3bobo91bobo3bobo$25bobo97bobo$23b3ob3o93b3o
b3o$22bo7bo91bo7bo$21bobo5bobo89bobo5bobo$22b2o5b2o91b2o5b2o$16b2o8bo
8b2o79b2o8bo8b2o$16bobo3b9o3bobo79bobo3b9o3bobo$17bobobo9bobobo81bobob
o9bobobo$11b2o6bob11obo6b2o69b2o6bob11obo6b2o$11bobo5bo13bo5bobo69bobo
5bo13bo5bobo$12bobo5b13o5bobo71bobo5b13o5bobo$13bobobo17bobobo73bobobo
17bobobo$15bob19obo77bob19obo$15bo21bo77bo21bo$16b21o79b21o$12b2o25b2o
71b2o25b2o$11bob27obo69bob27obo$11bo29bo69bo29bo$12b29o71b29o$8b2o33b
2o63b2o33b2o$7bob35obo61bob35obo$7bo18bo18bo61bo18bo18bo$8b11ob4o5b4ob
11o63b11ob4o5b4ob11o$5bo12bobo3bo3bo3bobo12bo57bo12bobo3bo3bo3bobo12bo
$5b6ob4o3bo3bo5bo3bo3b4ob6o57b6ob4o3bo3bo5bo3bo3b4ob6o$10bobo3bo5bo7bo
6bo2bobo67bobo3bo5bo7bo5bo3bobo$7bo7b2o5b2o5b2o14bo61bo3bo3b2o5b2o5b2o
5b2o3bo3bo$6bobo35bobo59bobo35bobo$7bo37bo61bo37bo3$35b2o$34bobo$36bo
6b2o$43bobo$43bo$126b3o2b3o$34b2o90bo4bo$35b2o90bo4bo$34bo$121b2o$120b
obo$122bo3$96bo$96b2o$95bobo3$96b2o$95bobo$97bo2$123bo$122b2o$122bobo!
Looks like six more gliders will do the trick:

Code: Select all

x = 343, y = 62, rule = B3/S23
14bo13bo85bo13bo85bo13bo85bo13bo$13bobo11bobo83bobo11bobo83bobo11bobo
83bobo11bobo$14bo13bo85bo13bo85bo13bo85bo13bo$15b3ob2ob2ob3o87b3ob2ob
2ob3o87b3ob2ob2ob3o87b3ob2ob2ob3o$17bobo3bobo91bobo3bobo91bobo3bobo91b
obo3bobo$20bobo97bobo97bobo97bobo$18b3ob3o93b3ob3o93b3ob3o93b3ob3o$17b
o7bo91bo7bo91bo7bo91bo7bo$16bobo5bobo89bobo5bobo89bobo5bobo89bobo5bobo
$17b2o5b2o91b2o5b2o91b2o5b2o91b2o5b2o$11b2o8bo8b2o79b2o8bo8b2o79b2o8bo
8b2o79b2o8bo8b2o$11bobo3b9o3bobo79bobo3b9o3bobo79bobo3b9o3bobo79bobo3b
9o3bobo$12bobobo9bobobo81bobobo9bobobo81bobobo9bobobo81bobobo9bobobo$
6b2o6bob11obo6b2o69b2o6bob11obo6b2o69b2o6bob11obo6b2o69b2o6bob11obo6b
2o$6bobo5bo13bo5bobo69bobo5bo13bo5bobo69bobo5bo13bo5bobo69bobo5bo13bo
5bobo$7bobo5b13o5bobo71bobo5b13o5bobo71bobo5b13o5bobo71bobo5b13o5bobo$
8bobobo17bobobo73bobobo17bobobo73bobobo17bobobo73bobobo17bobobo$10bob
19obo77bob19obo77bob19obo77bob19obo$10bo21bo77bo21bo77bo21bo77bo21bo$
11b21o79b21o79b21o79b21o$7b2o25b2o71b2o25b2o71b2o25b2o71b2o25b2o$6bob
27obo69bob27obo69bob27obo69bob27obo$6bo29bo69bo29bo69bo29bo69bo29bo$7b
29o71b29o71b29o71b29o$3b2o33b2o63b2o33b2o63b2o33b2o63b2o33b2o$2bob35ob
o61bob35obo61bob35obo61bob35obo$2bo18bo18bo61bo18bo18bo61bo18bo18bo61b
o18bo18bo$3b11ob4o5b4ob11o63b11ob4o5b4ob11o63b11ob4o5b4ob11o63b11ob4o
5b4ob11o$o12bobo3bo3bo3bobo12bo57bo12bobo3bo3bo3bobo12bo57bo12bobo3bo
3bo3bobo12bo57bo12bobo3bo3bo3bobo12bo$6ob4o3bo3bo5bo3bo3b4ob6o57b6ob4o
3bo3bo5bo3bo3b4ob6o57b6ob4o3bo3bo5bo3bo3b4ob6o57b6ob4o3bo3bo5bo3bo3b4o
b6o$5bobo3bo5bo7bo6bo2bobo67bobo3bo5bo7bo6bo2bobo67bobo3bo5bo7bo6bo2bo
bo67bobo3bo5bo7bo5bo3bobo$2bo7b2o5b2o5b2o14bo61bo7b2o5b2o5b2o14bo61bo
7b2o5b2o5b2o14bo61bo3bo3b2o5b2o5b2o5b2o3bo3bo$bobo35bobo59bobo35bobo
59bobo35bobo59bobo35bobo$2bo37bo61bo37bo61bo37bo61bo37bo$134bo73bo$
134b2o71b2o$30b2o101bobo71bobo$29bobo$31bo6b2o$38bobo94b3o67b3o$38bo
96bo71bo$136bo69bo114b3o2b3o$29b2o101b3o73b3o110bo4bo$30b2o102bo73bo
113bo4bo$29bo103bo75bo$316b2o$315bobo$317bo3$291bo$291b2o$290bobo3$
291b2o$290bobo$292bo2$318bo$317b2o$317bobo!
2) In these two stages, #10 and #9 from the end, the right and left groups of loaves are respectively shown one cell too high -- just a cosmetic thing, corrected in #8 from the end and onward:

Code: Select all

x = 158, y = 52, rule = B3/S23
31b2o3b2o93b2o3b2o$27bo3b2o3b2o3bo85bo3b2o3b2o3bo$26bobo11bobo83bobo
11bobo$27bo13bo85bo13bo$16b2o10b3ob2ob2ob3o10b2o63b2o10b3ob2ob2ob3o10b
2o$16bobo11bobo3bobo11bobo63bobo11bobo3bobo11bobo$17b2o14bobo14b2o65b
2o14bobo14b2o$31b3ob3o93b3ob3o$30bo7bo91bo7bo$20bo8bobo5bobo8bo71bo8bo
bo5bobo8bo$19bobo8b2o5b2o8bobo69bobo8b2o5b2o8bobo$20b2o2b2o8bo8b2o2b2o
71b2o2b2o8bo8b2o2b2o$24bobo3b9o3bobo79bobo3b9o3bobo$25bobobo9bobobo81b
obobo9bobobo$19b2o6bob11obo6b2o5b2o55b2o5b2o6bob11obo6b2o$12b2o5bobo5b
o13bo5bobo4bo2bo53bo2bo4bobo5bo13bo5bobo5b2o$11bo2bo5bobo5b13o5bobo6bo
bo53bobo6bobo5b13o5bobo5bo2bo$11bobo7bobobo17bobobo3b2o3bo55bo3b2o3bob
obo17bobobo7bobo$12bo3b2o5bob19obo4bo2bo61bo2bo4bob19obo5b2o3bo$15bo2b
o4bo21bo5bobo61bobo5bo21bo4bo2bo$15bobo6b21o7bo63bo7b21o6bobo$16bo3b2o
25b2o6b2o55b2o6b2o25b2o3bo$12b2o5bob27obo4bo2bo53bo2bo4bob27obo5b2o$
11bo2bo4bo29bo5bobo53bobo5bo29bo4bo2bo$11bobo6b29o7bo45bobo7bo7b29o6bo
bo$12bo3b2o33b2o50b2o11b2o33b2o3bo$15bob35obo49bo11bob35obo$15bo18bo
18bo61bo18bo18bo$16b11ob4o5b4ob11o63b11ob4o5b4ob11o$13bo12bobo3bo3bo3b
obo12bo57bo12bobo3bo3bo3bobo12bo$13b6ob4o3bo3bo5bo3bo3b4ob6o57b6ob4o3b
o3bo5bo3bo3b4ob6o$18bobo3bo5bo7bo5bo3bobo67bobo3bo5bo7bo5bo3bobo$12bob
2o3bo3bo6b2o5b2o6bo3bo3b2obo55bob2o3bo3bo6b2o5b2o6bo3bo3b2obo$12b2o2bo
5bo23bo5bo2b2o46b3o6b2o2bo5bo23bo5bo2b2o$15bo6b2o3b2o11b2o3b2o6bo51bo
9bo6b2o3b2o11b2o3b2o6bo$12b3o13bo11bo13b3o47bo7b3o13bo11bo13b3o$12bo6b
2o7bobo7bobo7b2o6bo55bo6b2o7bobo7bobo7b2o6bo$8bo4b2o5bo8b2o7b2o8bo5b2o
52bo4b2o5bo8b2o7b2o8bo5b2o$7bobo4bo5bobo23bobo5bo52bobo4bo5bobo23bobo
5bo$7bobo3bo7b2o23b2o7bo51bobo3bo7b2o23b2o7bo$8bo4b2o39b2o52bo4b2o39b
2o3$106b2o$6bo98bo2bo$3o2b2o99bobo$2bo2bobo99bo$bo2$2b3o$2bo$3bo!
(I haven't submitted these fixes to Catagolue, so if the rest of the recipe is already submitted then maybe somebody should do that.)

Looks like we're at 967 gliders (or really 961 plus a couple of LWSSes) for the conversions posted, plus six more to add the two missing connecting bits, plus 455 for the original still-life-in-common -- total 1428G.

This is a really impressive construction. One thousand four hundred and twenty-eight congratulations!

EDIT: Looks like nobody ever patched the loaves right at the end, so Catagolue isn't showing the completed recipe. Intermediate objects have syntheses until the misplaced loaves start around twelve steps from the end. Here's the patch I just offered to the nomagicbox, which with any luck will solve the problem:

Code: Select all

x = 1377, y = 106, rule = B3/S23
1315bo$1313bobo$1314b2o4$1291bo10bo41bo10bo$1289bobo11b2o9bo27b2o11bob
o$1290b2o10b2o4bo6b2o16bo4bo4b2o10b2o$1295bo13bo4b2o16bo4bo13bo$1296b
2o9b3o22b3o2b3o9b2o$1295b2o6bo39bo6b2o$1304b2o35b2o$1303b2o37b2o$1298b
o49bo$1296bobo49bobo$1297b2o49b2o2$1302bobo37bobo$1303b2o37b2o$1303bo
39bo$1284bo77bo$1285b2o73b2o$20b2o3b2o93b2o3b2o93b2o3b2o93b2o3b2o93b2o
3b2o93b2o3b2o93b2o3b2o93b2o3b2o93b2o3b2o93b2o3b2o93b2o3b2o93b2o3b2o
157b2o34b2o3b2o34b2o$16bo3b2o3b2o3bo85bo3b2o3b2o3bo85bo3b2o3b2o3bo85bo
3b2o3b2o3bo85bo3b2o3b2o3bo85bo3b2o3b2o3bo85bo3b2o3b2o3bo85bo3b2o3b2o3b
o85bo3b2o3b2o3bo85bo3b2o3b2o3bo85bo3b2o3b2o3bo85bo3b2o3b2o3bo162bobo
20bo3b2o3b2o3bo20bobo$15bobo11bobo83bobo11bobo83bobo11bobo83bobo11bobo
83bobo11bobo83bobo11bobo83bobo11bobo83bobo11bobo83bobo11bobo83bobo11bo
bo83bobo11bobo83bobo11bobo157bo4b2o19bobo11bobo19b2o4bo$16bo13bo22bo
62bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo13bo85bo
13bo85bo13bo85bo13bo156bobo4bo21bo13bo21bo4bobo$5b2o10b3ob2ob2ob3o10b
2o12b2o49b2o10b3ob2ob2ob3o10b2o63b2o10b3ob2ob2ob3o10b2o63b2o10b3ob2ob
2ob3o10b2o63b2o10b3ob2ob2ob3o10b2o63b2o10b3ob2ob2ob3o10b2o63b2o10b3ob
2ob2ob3o10b2o63b2o10b3ob2ob2ob3o10b2o63b2o10b3ob2ob2ob3o10b2o63b2o10b
3ob2ob2ob3o10b2o63b2o10b3ob2ob2ob3o10b2o63b2o10b3ob2ob2ob3o10b2o146b2o
15b2o10b3ob2ob2ob3o10b2o15b2o$5bobo11bobo3bobo11bobo11b2o50bobo11bobo
3bobo11bobo63bobo11bobo3bobo11bobo63bobo11bobo3bobo11bobo63bobo11bobo
3bobo11bobo63bobo11bobo3bobo11bobo63bobo11bobo3bobo11bobo63bobo11bobo
3bobo11bobo63bobo11bobo3bobo11bobo63bobo11bobo3bobo11bobo63bobo11bobo
3bobo11bobo63bobo11bobo3bobo11bobo163bobo11bobo3bobo11bobo$6b2o14bobo
14b2o65b2o14bobo14b2o65b2o14bobo14b2o65b2o14bobo14b2o65b2o14bobo14b2o
65b2o14bobo14b2o65b2o14bobo14b2o65b2o14bobo14b2o65b2o14bobo14b2o65b2o
14bobo14b2o65b2o14bobo14b2o65b2o14bobo14b2o165b2o14bobo14b2o$20b3ob3o
93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob3o93b3ob
3o93b3ob3o93b3ob3o193b3ob3o$19bo7bo91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo
91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo91bo7bo144bo14bo31bo7bo31bo14bo$9bo
8bobo5bobo8bo23bo47bo8bobo5bobo8bo71bo8bobo5bobo8bo71bo8bobo5bobo8bo
71bo8bobo5bobo8bo71bo8bobo5bobo8bo71bo8bobo5bobo8bo71bo8bobo5bobo8bo
71bo8bobo5bobo8bo71bo8bobo5bobo8bo71bo8bobo5bobo8bo71bo8bobo5bobo8bo
132bobo15bo20bo8bobo5bobo8bo20bo15bobo$8bobo8b2o5b2o8bobo20b2o47bobo8b
2o5b2o8bobo69bobo8b2o5b2o8bobo69bobo8b2o5b2o8bobo69bobo8b2o5b2o8bobo
69bobo8b2o5b2o8bobo69bobo8b2o5b2o8bobo69bobo8b2o5b2o8bobo69bobo8b2o5b
2o8bobo69bobo8b2o5b2o8bobo69bobo8b2o5b2o8bobo69bobo8b2o5b2o8bobo132b2o
13b3o19bobo8b2o5b2o8bobo19b3o13b2o$9b2o2b2o8bo8b2o2b2o22b2o47b2o2b2o8b
o8b2o2b2o71b2o2b2o8bo8b2o2b2o71b2o2b2o8bo8b2o2b2o71b2o2b2o8bo8b2o2b2o
71b2o2b2o8bo8b2o2b2o71b2o2b2o8bo8b2o2b2o71b2o2b2o8bo8b2o2b2o71b2o2b2o
8bo8b2o2b2o71b2o2b2o8bo8b2o2b2o71b2o2b2o8bo8b2o2b2o71b2o2b2o8bo8b2o2b
2o171b2o2b2o8bo8b2o2b2o$13bobo3b9o3bobo79bobo3b9o3bobo79bobo3b9o3bobo
79bobo3b9o3bobo79bobo3b9o3bobo79bobo3b9o3bobo79bobo3b9o3bobo79bobo3b9o
3bobo79bobo3b9o3bobo79bobo3b9o3bobo79bobo3b9o3bobo79bobo3b9o3bobo179bo
bo3b9o3bobo$14bobobo9bobobo22b3o56bobobo9bobobo81bobobo9bobobo81bobobo
9bobobo81bobobo9bobobo81bobobo9bobobo81bobobo9bobobo81bobobo9bobobo81b
obobo9bobobo81bobobo9bobobo81bobobo9bobobo81bobobo9bobobo150bo30bobobo
9bobobo30bo$8b2o6bob11obo6b2o16bo52b2o6bob11obo6b2o69b2o6bob11obo6b2o
69b2o6bob11obo6b2o69b2o6bob11obo6b2o69b2o6bob11obo6b2o69b2o6bob11obo6b
2o69b2o6bob11obo6b2o69b2o6bob11obo6b2o69b2o6bob11obo6b2o69b2o6bob11obo
6b2o69b2o6bob11obo6b2o145bo23b2o6bob11obo6b2o23bo$b2o5bobo5bo13bo5bobo
17bo44b2o5bobo5bo13bo5bobo5b2o55b2o5bobo5bo13bo5bobo5b2o55b2o5bobo5bo
13bo5bobo5b2o55b2o5bobo5bo13bo5bobo5b2o55b2o5bobo5bo13bo5bobo5b2o55b2o
5bobo5bo13bo5bobo5b2o55b2o5bobo5bo13bo5bobo5b2o55b2o5bobo5bo13bo5bobo
5b2o55b2o5bobo5bo13bo5bobo5b2o55b2o5bobo5bo13bo5bobo5b2o55b2o5bobo5bo
13bo5bobo5b2o136b3o16b2o5bobo5bo13bo5bobo5b2o16b3o$o2bo5bobo5b13o5bobo
62bo2bo5bobo5b13o5bobo5bo2bo53bo2bo5bobo5b13o5bobo5bo2bo53bo2bo5bobo5b
13o5bobo5bo2bo53bo2bo5bobo5b13o5bobo5bo2bo53bo2bo5bobo5b13o5bobo5bo2bo
53bo2bo5bobo5b13o5bobo5bo2bo53bo2bo5bobo5b13o5bobo5bo2bo53bo2bo5bobo5b
13o5bobo5bo2bo53bo2bo5bobo5b13o5bobo5bo2bo53bo2bo5bobo5b13o5bobo5bo2bo
53bo2bo5bobo5b13o5bobo5bo2bo153bo2bo5bobo5b13o5bobo5bo2bo$obo7bobobo
17bobobo63bobo7bobobo17bobobo7bobo53bobo7bobobo17bobobo7bobo53bobo7bob
obo17bobobo7bobo53bobo7bobobo17bobobo7bobo53bobo7bobobo17bobobo7bobo
53bobo7bobobo17bobobo7bobo53bobo7bobobo17bobobo7bobo53bobo7bobobo17bob
obo7bobo53bobo7bobobo17bobobo7bobo53bobo7bobobo17bobobo7bobo53bobo7bob
obo17bobobo7bobo153bobo7bobobo17bobobo7bobo$bo3b2o5bob19obo5b2o59bo3b
2o5bob19obo5b2o3bo55bo3b2o5bob19obo5b2o3bo55bo3b2o5bob19obo5b2o3bo55bo
3b2o5bob19obo5b2o3bo55bo3b2o5bob19obo5b2o3bo55bo3b2o5bob19obo5b2o3bo
55bo3b2o5bob19obo5b2o3bo55bo3b2o5bob19obo5b2o3bo55bo3b2o5bob19obo5b2o
3bo55bo3b2o5bob19obo5b2o3bo55bo3b2o5bob19obo5b2o3bo155bo3b2o5bob19obo
5b2o3bo$4bo2bo4bo21bo4bo2bo61bo2bo4bo21bo4bo2bo61bo2bo4bo21bo4bo2bo61b
o2bo4bo21bo4bo2bo61bo2bo4bo21bo4bo2bo61bo2bo4bo21bo4bo2bo61bo2bo4bo21b
o4bo2bo61bo2bo4bo21bo4bo2bo61bo2bo4bo21bo4bo2bo61bo2bo4bo21bo4bo2bo61b
o2bo4bo21bo4bo2bo61bo2bo4bo21bo4bo2bo161bo2bo4bo21bo4bo2bo$4bobo6b21o
6bobo61bobo6b21o6bobo61bobo6b21o6bobo61bobo6b21o6bobo61bobo6b21o6bobo
61bobo6b21o6bobo61bobo6b21o6bobo61bobo6b21o6bobo61bobo6b21o6bobo61bobo
6b21o6bobo61bobo6b21o6bobo61bobo6b21o6bobo161bobo6b21o6bobo$5bo3b2o25b
2o3bo63bo3b2o25b2o3bo63bo3b2o25b2o3bo63bo3b2o25b2o3bo63bo3b2o25b2o3bo
63bo3b2o25b2o3bo63bo3b2o25b2o3bo63bo3b2o25b2o3bo63bo3b2o25b2o3bo63bo3b
2o25b2o3bo63bo3b2o25b2o3bo63bo3b2o25b2o3bo163bo3b2o25b2o3bo$b2o5bob27o
bo5b2o55b2o5bob27obo5b2o55b2o5bob27obo5b2o55b2o5bob27obo5b2o55b2o5bob
27obo5b2o55b2o5bob27obo5b2o55b2o5bob27obo5b2o55b2o5bob27obo5b2o55b2o5b
ob27obo5b2o55b2o5bob27obo5b2o55b2o5bob27obo5b2o55b2o5bob27obo5b2o155b
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3bo126bo28bo3b2o33b2o3bo28bo$4bob35obo61bob35obo61bob35obo49bo11bob35o
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27b11ob4o5b4ob11o27bo$2bo12bobo3bo3bo3bobo12bo57bo12bobo3bo3bo3bobo12b
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6ob4o3bo3bo5bo3bo3b4ob6o57b6ob4o3bo3bo5bo3bo3b4ob6o50b2o5b6ob4o3bo3bo
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7bo5bo3bobo67bobo3bo5bo7bo5bo3bobo54bo2bo9bobo3bo5bo7bo5bo3bobo54bo2bo
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7bo5bo3bobo9bo2bo127bo13bo2bo9bobo3bo5bo7bo5bo3bobo9bo2bo13bo$bob2o3bo
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11b2o3b2o6bo61bo6b2o3b2o11b2o3b2o6bo61bo6b2o3b2o11b2o3b2o6bo51bo9bo6b
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obo7bobo7b2o6bo155bo6b2o7bobo7bobo7b2o6bo$2b2o5bo8b2o7b2o8bo5b2o52bo4b
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5b2o4bo47bo4b2o5bo8b2o7b2o8bo5b2o4bo47bo4b2o5bo8b2o7b2o8bo5b2o4bo47bo
4b2o5bo8b2o7b2o8bo5b2o4bo147bo4b2o5bo8b2o7b2o8bo5b2o4bo$3bo5bobo23bobo
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45bobo4bo5bobo23bobo5bo4bobo45bobo4bo5bobo23bobo5bo4bobo45bobo4bo5bobo
23bobo5bo4bobo145bobo4bo5bobo23bobo5bo4bobo$2bo7b2o23b2o7bo57bo7b2o23b
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$2b2o39b2o47b3o7b2o39b2o52bo4b2o39b2o52bo4b2o39b2o52bo4b2o39b2o7b3o42b
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4b2o18b2o19b2o4bo47bo4b2o39b2o4bo47bo4b2o39b2o4bo147bo4b2o39b2o4bo$94b
o357bo368bo2bo96bo2bo95b3ob3o93b3ob3o193b3ob3o$93bo359bo367bobo97bobo$
295b2o98b2o98b2o98b2o53b2o43b2o53b2o43b2o25bo27b2o43b2o25bo27b2o43b2o
53b2o43b2o15b3o35b2o143b2o15b3o17b3o15b2o$195bo98bo2bo96bo2bo96bo2bo
53bo42bo2bo51bo2bo41bo2bo51bo2bo41bo2bo51bo2bo41bo2bo51bo2bo41bo2bo51b
o2bo41bo2bo51bo2bo141bo2bo51bo2bo$189b3o2b2o99bobo97bobo97bobo53b2o2b
3o37bobo51bobo43bobo51bobo43bobo51bobo43bobo20bo4b2o24bobo43bobo7b2o
42bobo43bobo42b2o7bobo143bobo51bobo$191bo2bobo99bo99bo99bo53bobo2bo40b
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3o7bobo7bo145bo53bo$190bo365bo164bobo2b2o190b2o3bo82bo7bo117bo7bo$723b
o2bobo286bo115bo151b3o75b3o$191b3o359b3o170bo558bo75bo$191bo363bo162bo
565bo77bo$192bo361bo163b2o96b2o492b2o23b2o$717bobo95bobo2b2o472b2o13bo
bo23bobo13b2o$817bo2bobo470bobo6b2o7bo23bo7b2o6bobo$820bo474bo5bobo39b
obo5bo$1303bo39bo2$822b2o$822bobo474b2o45b2o$822bo470b3o2bobo45bobo2b
3o$1281b3o11bo4bo45bo4bo11b3o$1283bo10bo57bo10bo$1282bo81bo$1288b2o67b
2o$1289b2o65b2o$1288bo69bo8$1280b2o$1281b2o$1280bo$1369bo$1368b2o$
1368bobo2$1374b2o$1373b2o$1375bo!

dbell
Posts: 247
Joined: June 27th, 2013, 12:47 am
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Re: Small Spaceship Syntheses

Post by dbell » July 16th, 2021, 11:10 am

iNoMed wrote:
July 6th, 2021, 12:13 pm
For a slight change of pace, here's a 24-glider synthesis for 25P3H1V0.2 (A two-glider improvement)...
The synthesis of the 25P3H1V0.2 spaceship is smaller and simpler than I had expected. Maybe there is a chance to do a synthesis of the next spaceship in a series. Both spaceships are shown here so you can see the similarities.

Code: Select all

#C The first two spaceships in a series of "unlikely" c/3 spaceships.
#C The remaining spaceships in the series are easily constructed by
#C continuing the obvious pattern.
x = 22, y = 23
16boobo$13boobooboo$13bobbobobbo$7boo4boo5bo$7booboo$6bo3boo$10boo8$
16boobo$13boobooboo$13bobbobobbo$7boo4boo5bo$7booboo$boo4bobboo$booboo
4boo$o3boo$4boo!
There are two possibilities to synthesize the larger second ship.

Firstly, a larger seed can be built so that the entire ship can be activated in one step. Maybe the known synthesis can be adjusted to do this, but I'm not sure there's room to do it.

Secondly, the smaller ship could first be built and activated and then it could be modified as it flies by a second seed which is activated at the right time.

If the second possibility works then this would enable the synthesis of all the larger ships in my series too.

BCNU,
-dbell

User avatar
Goldtiger997
Posts: 762
Joined: June 21st, 2016, 8:00 am

Re: Small Spaceship Syntheses

Post by Goldtiger997 » July 23rd, 2021, 1:33 am

dvgrn wrote:
July 16th, 2021, 10:39 am
This is a really impressive construction. One thousand four hundred and twenty-eight congratulations!
Thank you!
Goldtiger997 wrote:
July 16th, 2021, 9:30 am
Goldtiger997 wrote:
July 1st, 2021, 8:00 am
Once we synthesise the next-size-up greyship, I think we should have all the pieces to synthesise arbitrarily large greyships...
I'm still not completely sure about this, so I will check that.
As I already mentioned on Discord, there turned out to be a piece missing which I have since solved. Here's a labelled pattern which should contain all the pieces (except for adding the small still-lifes around the outside):

Code: Select all

x = 1886, y = 2008, rule = LifeHistory
47.A13.A85.A13.A$46.A.A11.A.A83.A.A11.A.A$47.A13.A85.A13.A$48.3A.2A.
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.3A$50.A7.A91.A7.A$49.A.A5.A.A89.A.A5.A.A$50.2A5.2A91.2A5.2A$44.2A8.A
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A69.A.27A.A$4.D34.A29.A69.A29.A$40.29A71.29A$37.A33.A65.A33.A$37.35A
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A2.A2.A2.A2.A2.A.2A58.A2.A2.A2.A.2A.A2.A5.A2.A2.A2.A2.A2.A.2A$34.2A
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2A79.2A8.A8.2A79.2A8.A8.2A79.2A8.A8.2A79.2A8.A8.2A$44.A.A3.9A3.A.A79.
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9A3.A.A79.A.A3.9A3.A.A$45.A.A.A9.A.A.A81.A.A.A9.A.A.A81.A.A.A9.A.A.A
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39.2A6.A.11A.A6.2A69.2A6.A.11A.A6.2A69.2A6.A.11A.A6.2A50.3A8.3A5.2A6.
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$321.A.A!
I think a good first step in making a greyship-synthesising script will be to convert all the above pieces into continuous syntheses. It's probably not obvious how to use the above pieces to make arbitrarily large greyships, so I made the following diagram to demonstrate how the two smallest yet to be synthesised greyships could be made with the above pieces:

Code: Select all

x = 6753, y = 187, rule = LifeHistory
160.D7.D291.D7.D491.D7.D291.D7.D791.D7.D691.D7.D1191.D7.D$60.D8.2D90.
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dvgrn
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Re: Small Spaceship Syntheses

Post by dvgrn » July 23rd, 2021, 7:23 am

Goldtiger997 wrote:
July 23rd, 2021, 1:33 am
I think a good first step in making a greyship-synthesising script will be to convert all the above pieces into continuous syntheses. It's probably not obvious how to use the above pieces to make arbitrarily large greyships, so I made the following diagram to demonstrate how the two smallest yet to be synthesised greyships could be made with the above pieces...
Looks great! Yup, combining each of the rows into a single operation would be a reasonable simplification -- though it's maybe not necessary.

If a script will be dealing with all of this anyway, it will probably be just as happy working with E2a, E2b, E2c... E2s as with a single monolithic E2 recipe -- and then it could build either incremental or continuous recipes for any greyship, equally easily.

It won't hurt anything to replace the very few LWSSes with equivalent triples of gliders, though.

Once all these pieces are named and converted into some standard format -- I suppose they already are in Shinjuku format, since these greyships synths are in Catagolue, but maybe they need some kind of converter-ish representation like what transfer.py uses? -- then the next two steps will be interesting ones.

(1) We'll need a script that produces the high-level recipe for any size greyship, let's say in a form like this:

...
C3a,C3b,C3c,C3d,C3e@(50,-13)
C4a..j@(6,-3)
D1@(28,12)
...


-- Notice if we have a continuous recipe for the combination of C4a, C4b, ... C4j, we can just call it "C4a..j", and it would be trivial to replace "C4a..j" everywhere in a high-level recipe with "C4a,C4b,C4c,C4d,C4e,C4f,C4g,C4h,C4i,C4j" whenever we want a complete incremental synthesis.

(2) Almost completely separate from (1), we'll need a script that takes high-level recipes like the above as input, and converts them into (hopefully) working incremental or continuous syntheses.

It should be possible to work on these two sub-projects independently. In fact it seems like it might well make sense to finish (2) first. We can write out the high-level recipes for the first two or three greyships manually and use them to test the (1) script. Once those first few greyships are buildable via high-level recipe, automatically generating the larger recipes will seem like a relatively tame problem.

-- That said, I'm leaving tomorrow for a two-week trip to a place in the Adirondacks where I have to commute a mile or three to get to Internet. So I probably won't be attempting to be of much (further?) help with this until late August or September.

EDIT: I tried backtracking the second greyship recipe using the Official Canada Greyship Component Collection, but I could only make it two steps backward before there seem to be weird specialty top-of-the-ship-only recipes to twist things out of the way, that aren't shown in the collection:

Code: Select all

x = 231, y = 28, rule = LifeHistory
58.5D4.3D88.5D4.3D$58.D7.D3.D87.D7.D3.D$58.D11.D87.D11.D$8.A13.A35.D
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So the recipe for Canada Greyship 3 from its last common point with Canada Greyship 2 is as follows, where * means "apply this multiple times" and ' means "apply symmetrically to both sides", though I may have missed a few of the *s:

E3' A1 X* A2 H4 X* A3 B1' B2 X* B3 C1 X* C2 C3' C4

to the point where it diverges from the next greyship's recipe. Canada Greyship 4 continues significantly differently, because of the way the stripes are connected in pairs -- and it's significantly simpler to build the next stripe:

D3 X* D4 E1 X* E2 E3'

At this point I think we're back to a divergence point, where we could use the Canada Greyship 3 recipe again, to build Canada Greyship 5 -- and so on.

To complete Canada Greyship 3:
C4 D1' X* D2' Y* G1 H1' X* H2' Y* G2' H3' C4' D3' X* I1 G2' I2

To complete Canada Greyship 4 from the same point (purple part already listed above):

D3 X* D4 E1 X* E2 E3' A4 X* A2 H1 X* H2' Y* G1 H3' C4' D1' X* D2' Y* G2' H1' X* H2' Y* G2' H3' C4' D3' X* I1' G2' I2'

The blue part seems to be common to finishing up both Greyship 3 and Greyship 4. Probably it would be better to compare a recipe for an odd-numbered greyship with that of the next odd-numbered greyship, or even with even, to get a really clear picture of the similarities -- one more stripe being created in the main body, and one more stripe also being created in each symmetrical leg, or something along those lines.

Not sure if the above transcription will end up being useful at all, but if I've mis-transcribed anything, let me know.

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Goldtiger997
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Re: Small Spaceship Syntheses

Post by Goldtiger997 » July 25th, 2021, 10:38 am

dvgrn wrote:
July 23rd, 2021, 7:23 am
I tried backtracking the second greyship recipe using the Official Canada Greyship Component Collection, but I could only make it two steps backward before there seem to be weird specialty top-of-the-ship-only recipes to twist things out of the way, that aren't shown in the collection
Yeah, the Component Collection doesn't contain all the components necessary for making all the greyships, just the ones necessary to make them all from a certain 227-bit still-life. I was thinking that the recipe for that xs227 could just be hard-coded into the script so that we don't have to worry about the complications that arise when applying the components to the top.

Speaking of the component collection, I made some fairly minor simplifications and improvements. Some of the components have been removed, and some have been (hopefully not confusingly) renamed:

Code: Select all

x = 1886, y = 1868, rule = LifeHistory
47.A13.A85.A13.A$46.A.A11.A.A83.A.A11.A.A$47.A13.A85.A13.A$48.3A.2A.
2A.3A87.3A.2A.2A.3A$50.A.A3.A.A91.A.A3.A.A$53.A.A97.A.A$51.3A.3A93.3A
.3A$50.A7.A91.A7.A$49.A.A5.A.A89.A.A5.A.A$50.2A5.2A91.2A5.2A$44.2A8.A
8.2A79.2A8.A8.2A$44.A.A3.9A3.A.A79.A.A3.9A3.A.A$45.A.A.A9.A.A.A81.A.A
.A9.A.A.A$39.2A6.A.11A.A6.2A69.2A6.A.11A.A6.2A$D7.D30.A.A5.A13.A5.A.A
69.A.A5.A13.A5.A.A$.D5.D32.A.A5.13A5.A.A71.A.A5.13A5.A.A$2.D3.D34.A.A
.A17.A.A.A73.A.A.A17.A.A.A$3.D.D37.A.19A.A77.A.19A.A$4.D38.A21.A77.A
21.A$3.D.D38.21A79.21A$2.D3.D33.2A25.2A71.2A25.2A$.D5.D31.A.27A.A69.A
.27A.A$D7.D30.A29.A69.A29.A$40.29A71.29A$37.A33.A65.A33.A$37.35A65.
35A$54.A2.A2.A93.A2.A$37.15A11.9A65.15A8.2A.9A$33.2A.A2.A2.A2.A2.A2.A
11.A2.A2.A2.A.2A57.2A.A2.A2.A2.A2.A2.A8.2A.A2.A2.A2.A.2A$33.A.2A35.2A
.A57.A.2A35.2A.A8$63.2A4.A$62.2A4.2A$48.2A14.A3.A.A$47.A.A114.2A$49.A
5.2A101.2A3.2A$56.2A101.2A4.A$55.A102.A4$73.2A$73.A.A83.2A$73.A86.2A$
159.A20$47.A13.A85.A13.A$46.A.A11.A.A83.A.A11.A.A$47.A13.A85.A13.A$
48.3A.2A.2A.3A87.3A.2A.2A.3A$50.A.A3.A.A91.A.A3.A.A$53.A.A97.A.A$51.
3A.3A93.3A.3A$50.A7.A91.A7.A$49.A.A5.A.A89.A.A5.A.A$50.2A5.2A91.2A5.
2A$44.2A8.A8.2A79.2A8.A8.2A$44.A.A3.9A3.A.A79.A.A3.9A3.A.A$45.A.A.A9.
A.A.A81.A.A.A9.A.A.A$39.2A6.A.11A.A6.2A69.2A6.A.11A.A6.2A$D7.D30.A.A
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2.D3.D34.A.A.A17.A.A.A73.A.A.A17.A.A.A$3.D.D37.A.19A.A77.A.19A.A$4.D
38.A21.A77.A21.A$4.D39.21A79.21A$4.D35.2A25.2A71.2A25.2A$4.D34.A.27A.
A69.A.27A.A$4.D34.A29.A69.A29.A$40.29A71.29A$37.A33.A65.A33.A$37.35A
65.35A$54.A99.A$35.9A.7A5.15A63.10A.A.4A5.15A$34.A2.A2.A2.A.A2.A2.A5.
A2.A2.A2.A2.A2.A.2A58.A2.A2.A2.A.2A.A2.A5.A2.A2.A2.A2.A2.A.2A$34.2A
36.2A.A58.2A36.2A.A5$149.2A4.2A$42.A107.2A2.2A$42.2A7.2A96.A6.A$41.A.
A6.2A$52.A2$45.A101.3A16.2A$45.2A102.A15.2A$44.A.A101.A18.A$36.3A$38.
A$37.A4.2A$43.2A$42.A2$127.2A$128.2A$127.A19$47.A13.A85.A13.A85.A13.A
85.A13.A85.A13.A85.A13.A85.A13.A$46.A.A11.A.A83.A.A11.A.A83.A.A11.A.A
83.A.A11.A.A83.A.A11.A.A83.A.A11.A.A83.A.A11.A.A$47.A13.A85.A13.A85.A
13.A85.A13.A85.A13.A85.A13.A85.A13.A$48.3A.2A.2A.3A87.3A.2A.2A.3A87.
3A.2A.2A.3A87.3A.2A.2A.3A87.3A.2A.2A.3A87.3A.2A.2A.3A87.3A.2A.2A.3A$
50.A.A3.A.A91.A.A3.A.A91.A.A3.A.A91.A.A3.A.A91.A.A3.A.A91.A.A3.A.A91.
A.A3.A.A$53.A.A97.A.A97.A.A97.A.A97.A.A97.A.A97.A.A$51.3A.3A93.3A.3A
93.3A.3A93.3A.3A93.3A.3A93.3A.3A93.3A.3A$50.A7.A91.A7.A91.A7.A91.A7.A
91.A7.A91.A7.A91.A7.A$49.A.A5.A.A89.A.A5.A.A89.A.A5.A.A89.A.A5.A.A89.
A.A5.A.A89.A.A5.A.A89.A.A5.A.A$50.2A5.2A91.2A5.2A91.2A5.2A91.2A5.2A
91.2A5.2A91.2A5.2A91.2A5.2A$44.2A8.A8.2A79.2A8.A8.2A79.2A8.A8.2A79.2A
8.A8.2A79.2A8.A8.2A79.2A8.A8.2A79.2A8.A8.2A$44.A.A3.9A3.A.A79.A.A3.9A
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11.A.A.A9.A.A.A81.A.A.A9.A.A.A81.A.A.A9.A.A.A81.A.A.A9.A.A.A$39.2A6.A
.11A.A6.2A69.2A6.A.11A.A6.2A69.2A6.A.11A.A6.2A50.3A8.3A5.2A6.A.11A.A
6.2A69.2A6.A.11A.A6.2A69.2A6.A.11A.A6.2A69.2A6.A.11A.A6.2A$4.D8.2D24.
A.A5.A13.A5.A.A69.A.A5.A13.A5.A.A69.A.A5.A13.A5.A.A61.2A.A4.A.A5.A13.
A5.A.A52.A16.A.A5.A13.A5.A.A69.A.A5.A13.A5.A.A69.A.A5.A13.A5.A.A$3.D.
D8.D25.A.A5.13A5.A.A71.A.A5.13A5.A.A71.A.A5.13A5.A.A63.3A5.A.A5.13A5.
A.A54.2A15.A.A5.13A5.A.A71.A.A5.13A5.A.A71.A.A5.13A5.A.A$2.D3.D7.D26.
A.A.A17.A.A.A73.A.A.A17.A.A.A73.A.A.A17.A.A.A65.A7.A.A.A17.A.A.A54.2A
3.A.A11.A.A.A17.A.A.A73.A.A.A17.A.A.A73.A.A.A17.A.A.A$.D5.D6.D28.A.
19A.A77.A.19A.A77.A.19A.A77.A.19A.A62.2A13.A.19A.A77.A.19A.A77.A.19A.
A$.7D6.D28.A21.A77.A21.A77.A21.A59.A.A15.A21.A62.A14.A21.A77.A21.A77.
A21.A$D7.D5.D29.21A79.21A79.21A61.2A16.21A79.21A79.21A79.21A$D7.D5.D
25.2A25.2A71.2A25.2A71.2A25.2A57.A13.2A25.2A71.2A25.2A71.2A25.2A71.2A
25.2A$D7.D5.D24.A.27A.A69.A.27A.A69.A.27A.A59.A.A7.A.27A.A69.A.27A.A
69.A.27A.A69.A.27A.A$D7.D4.3D23.A29.A69.A29.A69.A29.A60.2A7.A29.A60.
2A7.A29.A69.A29.A69.A29.A$40.29A71.29A62.A8.29A61.A9.29A60.A.A8.29A
71.29A71.29A$42.A2.A2.A2.A2.A2.A2.A2.A2.A78.A2.A2.A2.A2.A2.A2.A2.A65.
A12.A2.A2.A2.A2.A2.A2.A2.A78.A2.A2.A2.A2.A2.A2.A2.A64.A13.A2.A2.A2.A
2.A2.A2.A2.A78.A2.A2.A2.A2.A2.A2.A2.A81.A2.A2.A2.A2.A2.A2.A$140.3A87.
3A7.3A81.A15.3A92.A4.3A95.5A95.5A.2A$139.A2.A96.A2.A82.2A12.A2.A91.A.
A2.A2.A96.A2.A96.A2.A.2A$139.2A97.A.A83.2A14.A94.2A3.A96.A99.A$134.A.
A102.A80.2A15.3A97.3A97.2A98.2A$135.2A93.A5.A82.A.A15.A99.A$41.2A5.A
86.A10.A84.2A2.2A84.A$36.2A4.2A3.2A96.2A83.2A3.A.A$35.A.A3.A5.A.A90.
2A3.A.A181.2A$37.A103.2A185.A.A$133.2A5.A189.A$132.A.A311.3A87.A4.2A$
134.A204.2A97.2A6.A89.2A4.2A$137.2A199.2A98.A.A6.A87.A.A3.A14.2A$137.
A.A200.A97.A92.2A23.A.A81.2A$51.3A83.A394.2A15.2A5.A84.2A3.2A$51.A
380.2A97.A16.2A90.A4.2A$52.A378.A.A116.A96.A$433.A2$532.3A$534.A$533.
A111.2A$644.2A$646.A21$47.A13.A85.A13.A85.A13.A85.A13.A85.A13.A85.A
13.A85.A13.A85.A13.A85.A13.A85.A13.A85.A13.A85.A13.A85.A13.A85.A13.A
85.A13.A85.A13.A85.A13.A85.A13.A85.A13.A$46.A.A11.A.A83.A.A11.A.A83.A
.A11.A.A83.A.A11.A.A83.A.A11.A.A83.A.A11.A.A83.A.A11.A.A83.A.A11.A.A
83.A.A11.A.A83.A.A11.A.A83.A.A11.A.A83.A.A11.A.A83.A.A11.A.A83.A.A11.
A.A83.A.A11.A.A83.A.A11.A.A83.A.A11.A.A83.A.A11.A.A83.A.A11.A.A$47.A
13.A85.A13.A85.A13.A85.A13.A85.A13.A85.A13.A85.A13.A85.A13.A85.A13.A
85.A13.A85.A13.A85.A13.A85.A13.A85.A13.A85.A13.A85.A13.A85.A13.A85.A
13.A85.A13.A$48.3A.2A.2A.3A87.3A.2A.2A.3A87.3A.2A.2A.3A87.3A.2A.2A.3A
87.3A.2A.2A.3A87.3A.2A.2A.3A87.3A.2A.2A.3A87.3A.2A.2A.3A87.3A.2A.2A.
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2A.3A$50.A.A3.A.A91.A.A3.A.A91.A.A3.A.A91.A.A3.A.A91.A.A3.A.A91.A.A3.
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A.A3.A.A$53.A.A97.A.A97.A.A97.A.A97.A.A97.A.A97.A.A97.A.A97.A.A97.A.A
97.A.A97.A.A97.A.A31.A65.A.A97.A.A97.A.A97.A.A97.A.A97.A.A$51.3A.3A
93.3A.3A93.3A.3A93.3A.3A93.3A.3A93.3A.3A93.3A.3A93.3A.3A93.3A.3A93.3A
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3A93.3A.3A$50.A7.A91.A7.A91.A7.A91.A7.A91.A7.A91.A7.A91.A7.A91.A7.A
91.A7.A91.A7.A91.A7.A91.A7.A91.A7.A27.3A61.A7.A91.A7.A91.A7.A91.A7.A
91.A7.A91.A7.A$49.A.A5.A.A89.A.A5.A.A89.A.A5.A.A89.A.A5.A.A89.A.A5.A.
A89.A.A5.A.A89.A.A5.A.A89.A.A5.A.A89.A.A5.A.A89.A.A5.A.A89.A.A5.A.A
89.A.A5.A.A89.A.A5.A.A89.A.A5.A.A89.A.A5.A.A89.A.A5.A.A89.A.A5.A.A89.
A.A5.A.A89.A.A5.A.A$50.2A5.2A91.2A5.2A91.2A5.2A91.2A5.2A91.2A5.2A91.
2A5.2A91.2A5.2A91.2A5.2A91.2A5.2A91.2A5.2A91.2A5.2A91.2A5.2A91.2A5.2A
91.2A5.2A91.2A5.2A91.2A5.2A91.2A5.2A91.2A5.2A91.2A5.2A$44.2A8.A8.2A
79.2A8.A8.2A79.2A8.A8.2A79.2A8.A8.2A79.2A8.A8.2A79.2A8.A8.2A79.2A8.A
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79.2A8.A8.2A$44.A.A3.9A3.A.A79.A.A3.9A3.A.A79.A.A3.9A3.A.A79.A.A3.9A
3.A.A79.A.A3.9A3.A.A79.A.A3.9A3.A.A79.A.A3.9A3.A.A79.A.A3.9A3.A.A79.A
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3.9A3.A.A79.A.A3.9A3.A.A$45.A.A.A9.A.A.A81.A.A.A9.A.A.A81.A.A.A9.A.A.
A81.A.A.A9.A.A.A81.A.A.A9.A.A.A81.A.A.A9.A.A.A81.A.A.A9.A.A.A81.A.A.A
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A6.2A69.2A6.A.11A.A6.2A69.2A6.A.11A.A6.2A69.2A6.A.11A.A6.2A69.2A6.A.
11A.A6.2A69.2A6.A.11A.A6.2A69.2A6.A.11A.A6.2A69.2A6.A.11A.A6.2A69.2A
6.A.11A.A6.2A69.2A6.A.11A.A6.2A69.2A6.A.11A.A6.2A69.2A6.A.11A.A6.2A
69.2A6.A.11A.A6.2A69.2A6.A.11A.A6.2A69.2A6.A.11A.A6.2A69.2A6.A.11A.A
6.2A69.2A6.A.11A.A6.2A69.2A6.A.11A.A6.2A$39.A.A5.A13.A5.A.A69.A.A5.A
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13.A5.A.A69.A.A5.A13.A5.A.A69.A.A5.A13.A5.A.A$4.D7.3D25.A.A5.13A5.A.A
71.A.A5.13A5.A.A71.A.A5.13A5.A.A71.A.A5.13A5.A.A71.A.A5.13A5.A.A71.A.
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13A5.A.A71.A.A5.13A5.A.A$3.D.D5.D3.D25.A.A.A17.A.A.A73.A.A.A17.A.A.A
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21.A77.A21.A77.A21.A77.A21.A77.A21.A$.7D5.D30.21A79.21A79.21A79.21A
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A$30.A.A189.2A13.A$221.A.A!
dvgrn wrote:
July 23rd, 2021, 7:23 am
Probably it would be better to compare a recipe for an odd-numbered greyship with that of the next odd-numbered greyship, or even with even, to get a really clear picture of the similarities
Good idea, I wrote out the recipes for greyships 3-7 for that purpose:

Greyship 3: A1 X* A2 H4 X* A3 B1’ B2 X* B3 C1 X* C2 C3’ D1’ X* I1’ Y* G1 H5’ X* H2’ Y* G2’ H3’ D1’ X* I1’ G2’ I2’
Greyship 4: A1 X* A2 H4 X* A3 B1’ B2 X* B3 C1 X* C2 C3’ D1 X* D2 E1 X* E2 E3’ A4 X* A2 H1 X* H2’ Y* G1 H3’ D1’ X* I1’ Y* G2’ H5’ X* H2’ Y* I1’ G2’ H3’ D1’ X* I1’ G2’ I2’
Greyship 5: A1 X* A2 H4 X* A3 B1’ B2 X* B3 C1 X* C2 C3’ D1 X* D2 E1 X* E2 E3’ A1 X* A2 H4 X* A3 B1’ B2 X* B3 C1 X* C2 C3’ D1’ X* I1’ Y* G1 H5’ X* H2’ Y* G2’ H3’ D1’ X* I1’ Y* G2’ H5’ X* H2’ Y* I1’ G2’ H3’ D1’ X* I1’ G2’ I2’
Greyship 6: A1 X* A2 H4 X* A3 B1’ B2 X* B3 C1 X* C2 C3’ D1 X* D2 E1 X* E2 E3’ A1 X* A2 H4 X* A3 B1’ B2 X* B3 C1 X* C2 C3’ D1’ X* D2 E1 X* E2 E3’ A4 X* A2 H1 X* H2’ Y* G1 H3’ D1’ X* I1’ Y* G2’ H5’ X* H2’ Y* I1’ G2’ H3’ D1’ X* I1’ Y* G2’ H5’ X* H2’ Y* I1’ G2’ H3’ D1’ X* I1’ G2’ I2’
Greyship 7: A1 X* A2 H4 X* A3 B1’ B2 X* B3 C1 X* C2 C3’ D1 X* D2 E1 X* E2 E3’ A1 X* A2 H4 X* A3 B1’ B2 X* B3 C1 X* C2 C3’ D1 X* D2 E1 X* E2 E3’ A1 X* A2 H4 X* A3 B1’ B2 X* B3 C1 X* C2 C3’ D1’ X* I1’ Y* G1 H5’ X* H2’ Y* I1’ G2’ H3’ D1’ X* I1’ Y* G2’ H5’ X* H2’ Y* I1’ G2’ H3’ D1’ X* I1’ Y* G2’ H5’ X* H2’ Y* I1’ G2’ H3’ D1’ X* I1’ G2’ I2’


If I haven't made any mistakes, there seems to be a clear pattern. Before I confuse anyone, sometimes the sections coloured in the same way don't actually perfect match. This happens in two different ways:
  • Sometimes the red sections end in "D1' " rather than "D1". The way this works is that the final red section will end in a "D1' ", but all other red sections end in a "D1"
  • Sometimes the blue sections contain "G1" rather than "G2' ". The way this works is that the first time any "G" component occurs it will be a "G1", but all subsequent times it will be a "G2' "
Last edited by Goldtiger997 on July 26th, 2021, 9:36 am, edited 2 times in total.

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Re: Small Spaceship Syntheses

Post by dvgrn » July 26th, 2021, 7:50 am

Goldtiger997 wrote:
July 25th, 2021, 10:38 am
Yeah, the Component Collection doesn't contain all the components necessary for making all the greyships, just the ones necessary to make them all from a certain 227-bit still-life. I was thinking that the recipe for that xs227 could just be hard-coded into the script so that we don't have to worry about the complications that arise when applying the components to the top.
Totally makes sense. Everything above that point is really very special-case, not modular. Even the two backtracks I tried to do were wrong -- the E3 component doesn't work because the relatively cheap LWSS activation doesn't have enough clearance.

I've patched in the final piece of the recipe for that 227-bit still life, so Catagolue should have a synthesis for it in at most eight hours:

Code: Select all

x = 406, y = 55, rule = B3/S23
8b2o6b2o52b2o6b2o47b2o6b2o51b2o6b2o45b2o6b2o74b2o6b2o46b2o6b2o$7bo2bo
4bobo51bo2bo4bobo46bo2bo4bobo50bo2bo4bobo44bo2bo4bobo73bo2bo4bobo45bo
2bo4bobo$7bob2o3bobo52bob2o3bobo47bob2o3bobo51bob2o3bobo45bob2o3bobo
74bob2o3bobo46bob2o3bobo$6b2obo5bo52b2obo5bo47b2obo5bo51b2obo5bo45b2ob
o5bo74b2obo5bo46b2obo5bo$7bobo2b3o54bobo2b3o49bobo2b3o53bobo2b3o47bobo
2b3o76bobo2b3o48bobo2b3o$7bobobo7b2o48bobobo7b2o43bobobo7b2o47bobobo7b
2o41bobobo7b2o70bobobo7b2o42bobobo7b2o$6b2obobob2o3bobo47b2obobob2o3bo
bo42b2obobob2o3bobo46b2obobob2o3bobo40b2obobob2o3bobo69b2obobob2o3bobo
41b2obobob2o3bobo$7bobobobo5bo9bo39bobobobo5bo9bo34bobobobo5bo9bo38bob
obobo5bo9bo32bobobobo5bo9bo61bobobobo5bo9bo33bobobobo5bo9bo$7bobobobo
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11bobo38b2obobobobo11bobo33b2obobobobo11bobo37b2obobobobo11bobo31b2obo
bobobo11bobo38bo21b2obobobobo11bobo32b2obobobobo11bobo$7bobobobobob2o
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7bobobobobobobobobo2b2o41bobobobobobobobobo2b2o36bobobobobobobobobo2b
2o40bobobobobobobobobo2b2o34bobobobobobobobobo2b2o63bobobobobobobobobo
2b2o35bobobobobobobobobo2b2o$6b2obobobobobobob2obo43b2obobobobobobob2o
bo38b2obobobobobobob2obo42b2obobobobobobob2obo36b2obobobobobobob2obo
65b2obobobobobobob2obo37b2obobobobobobob2obo$7bobobobobobobo4bob2o41bo
bobobobobobo4bob2o36bobobobobobobo4bob2o40bobobobobobobo4bob2o34bobobo
bobobobo4bob2o63bobobobobobobo4bob2o35bobobobobobobo4bob2o$7bobobobobo
bobo4b2obo41bobobobobobobo4b2obo36bobobobobobobo4b2obo40bobobobobobobo
4b2obo34bobobobobobobo4b2obo63bobobobobobobo4b2obo35bobobobobobobo4b2o
bo$6b2obobobobobob2o47b2obobobobobob2o42b2obobobobobob2o46b2obobobobob
ob2o40b2obobobobobob2o43bo25b2obobobobobob2o41b2obobobobobob2o$7bobobo
bobobobo4b2obo41bobobobobobobo4b2obo36bobobobobobobo4b2obo40bobobobobo
bobo4b2obo34bobobobobobobo4b2obo37b2o24bobobobobobobo4b2obo35bobobobob
obobo4b2obo$7bobobobobobobo4bob2o41bobobobobobobo4bob2o36bobobobobobob
o4bob2o40bobobobobobobo4bob2o34bobobobobobobo4bob2o36b2o25bobobobobobo
bo4bob2o35bobobobobobobo4bob2o$6b2obobobobobobob2obo43b2obobobobobobob
2obo38b2obobobobobobob2obo42b2obobobobobobob2obo36b2obobobobobobob2obo
65b2obobobobobobob2obo37b2obobobobobobob2obo$7bobobobobobobobobo2b2o
41bobobobobobobobobo2b2o36bobobobobobobobobo2b2o40bobobobobobobobobo2b
2o34bobobobobobobobobo2b2o63bobobobobobobobobo2b2o35bobobobobobobobobo
2b2o$7bobobobobob2o3bo4bo41bobobobobob2o3bo4bo36bobobobobob2o3bo4bo40b
obobobobob2o3bo4bo34bobobobobob2o3bo4bo63bobobobobob2o3bo4bo35bobobobo
bob2o3bo4bo$6b2obobobobo11bobo38b2obobobobo11bobo33b2obobobobo11bobo
37b2obobobobo11bobo31b2obobobobo11bobo46bo13b2obobobobo11bobo32b2obobo
bobo11bobo$7bobobobo2b3o9bobo38bobobobo2b3o9bobo33bobobobo2b3o9bobo37b
obobobo2b3o9bobo31bobobobo2b3o9bobo46b2o12bobobobo2b3o9bobo32bobobobo
2b3o9bobo$7bobobobo5bo9bo39bobobobo5bo9bo34bobobobo5bo9bo38bobobobo5bo
9bo32bobobobo5bo9bo46b2o13bobobobo5bo9bo33bobobobo5bo9bo$6b2obobob2o3b
obo47b2obobob2o3bobo42b2obobob2o3bobo46b2obobob2o3bobo40b2obobob2o3bob
o69b2obobob2o3bobo41b2obobob2o3bobo$7bobobo7b2o48bobobo7b2o43bobobo7b
2o47bobobo7b2o41bobobo7b2o70bobobo7b2o42bobobo7b2o$7bobo2b3o54bobo2b3o
49bobo2b3o53bobo2b3o47bobo2b3o63bo12bobo2b3o48bobo2b3o$6b2obo5bo52b2ob
o5bo47b2obo5bo51b2obo5bo45b2obo5bo60bobo4bo6b2obo5bo46b2obo5bo$7bob2o
3bobo52bob2o3bobo47bob2o3bobo51bob2o3bobo45bob2o3bobo60b2o5bo6bob2o3bo
bo46bob2o3bobo$7bo7bobo51bo7bobo46bo7bobo50bo7bobo44bo7bobo64b3o6bo7bo
bo45bo7bobo$6b2o8b2o50b2o8b2o45b2o8b2o49b2o8b2o43b2o8b2o72b2o8b2o46b3o
5b2o$243b2o82b2o56bo$71b2obo53b2obo57b2obo50bobo81bobo$71bob2o53bob2o
57bob2o51bo83bobo2b2o$125bo61b2o140bo3bobo$6b3o52bo62bobo60bo145bo$8bo
53b2o60bobo54b2o6bo6bo49b3o66b3o$7bo3b2o48b2o3b3o56bo54bobo5b2o5b2o49b
o60b2o8bo$11bobo54bo60b2o51bo12bobo44b2o3bo58bobo7bo18b2o49bo$11bo9bo
45bo3b2o56b2o110bobo64bo13b2o10b2o45bo3b2o$2o18b2o49bobo49b3o8b2o48bo
58bo68bo10b2o11bo44b2o2bobo$b2o17bobo48bo53bo8bobo46b2o9b2o116b2o8bo
57bobo$o123bo9bo48bobo8bobo114bobo$127b3o8b2o54bo191bo$129bo8bobo244b
2o$128bo9bo246bobo$8bo$8b2o114b2o$7bobo113bobo$125bo$310b3o$15b3o279bo
14bo$15bo281b2o3b3o6bo27b2o$16bo279bobo5bo34bobo$303bo35bo!
Might a little hunting around with spark_search find a cheaper high-clearance conversion for this step, or has that already been tried?

User avatar
iNoMed
Moderator
Posts: 607
Joined: August 29th, 2020, 3:05 pm
Location: Scotland

Re: Small Spaceship Syntheses

Post by iNoMed » August 10th, 2021, 9:55 am

44P5H2V0 in 37G (down from 38G), achieved by figuring out a slightly-cheaper method of activating a small portion of the final step:

Code: Select all

x = 395, y = 60, rule = B3/S23
348bobo$349b2o$349bo2$349bo$350bo$348b3o25bobo$376b2o$377bo2$130bo$
128bobo$129b2o3$190bo$191bo139bobo$189b3o140b2o$194bo137bo53bo$141bo
52bobo187b2o$139bobo52b2o45bo52bo68bo21b2o$91bo48b2o46b2o50bobo40bo9bo
bo66bobo$92bo94bobo43bo6b2o42bo8b2o67b2o$90b3o96bo41b2o49b3o$95bobo46b
o47b2o38b2o6b2o51b2o67b2o$95b2o45bobo8b2o37bobob2o42bobob2o47bobob2o
59bo3bobob2o$46bo49bo46b2o8bobo38bobobo43bobobo33bo4b2o8bobobo57bobo4b
obobo$47b2o3bo102bo38bo3bo33b2o8bo3bo31bobo3bo2bo7bo3bo37bobo16bo2bo4b
o3bo$46b2o3bo94b2o7b2o36b2o3b2o33b2o6b2o3b2o31b2o3bobo7b2o3b2o37b2o5bo
bo9b2o4b2o3b2o$51b3o91bobo84bo52bo52bo6b2o$141b2o4bo198bo$44b2o94bobo
198b2o$obo40bobo11b2o31b2o3b2o45bo7b2o3b2o36b2o3b2o31bo9b2o3b2o40b2o4b
2o3b2o39bobo14b2o4b2o3b2o$b2o42bo6bo4bo33bo3bo55bo3bo38bo3bo32b2o9bo3b
o40bo2bo4bo3bo42bo13bo2bo4bo3bo$bo9bo39bobobobo33bobobo55bobobo38bobob
o31bobo9bobobo41bobo4bobobo57bobo4bobobo$10b2o38bo2bob2o32bobob2o54bob
ob2o37bobob2o42bobob2o43bo3bobob2o59bo3bobob2o$10bobo38b2o36b2o58b2o
41b2o46b2o51b2o67b2o$5b3o$7bo81b2o58b2o41b2o46b2o51b2o67b2o22b2o$6bo
82b2o58b2o41b2o46b2o51b2o67b2o22bobo4bo$386bo5b2o$55bo336bobo$54b2o32b
2o58b2o41b2o46b2o51b2o67b2o$54bobo31b2o58b2o41b2o46b2o51b2o67b2o$393bo
$46b2o344b2o$47b2o343bobo$46bo5$377b3o$345b3o29bo$347bo30bo$346bo2$
372bo$371b2o$371bobo!
Sadly, this method cannot actually be mirrored due to the different methods of assembling the two long hooks :x

Code: Select all

x = 35, y = 5, rule = B3/S23
4b2o3b2o3bo3b2ob2o3b2ob2o$2o2bobo3bo2bobobobobobobobobobo$obobo2bo2bob
o2bobo2bo2bobo3bobo$2bobo3bobobobo2bo5bobo3bobob2o$b2ob2o3b2ob2o3b2o3b
2ob2o3b2ob2o!

User avatar
Goldtiger997
Posts: 762
Joined: June 21st, 2016, 8:00 am

Re: Small Spaceship Syntheses

Post by Goldtiger997 » August 11th, 2021, 11:14 am

dvgrn wrote:
July 26th, 2021, 7:50 am
Might a little hunting around with spark_search find a cheaper high-clearance conversion for this step, or has that already been tried?
Yep, I found the following component for adding the boat-tie which is a lot cheaper:

Code: Select all

x = 89, y = 62, rule = B3/S23
20bo13bo$19bobo11bobo$20bo13bo$21b3ob2ob2ob3o$23bobo3bobo$26bobo$24b3o
b3o$23bo7bo$22bobo5bobo$23b2o5b2o$17b2o8bo8b2o$17bobo3b9o3bobo$18bobob
o9bobobo$12b2o6bob11obo6b2o$12bobo5bo13bo5bobo$13bobo5b13o5bobo$14bobo
bo17bobobo$16bob19obo$16bo21bo$17b21o$13b2o25b2o$12bob27obo25bo$12bo
29bo23b2o$13b29o25b2o4bo$9b2o33b2o26bo$8bob35obo25b3o$8bo37bo$9b37o$5b
2o41b2o$4bob43obo$4bo45bo$5b45o$2bo49bo$2b51o2$55o$o2bo2bo2bo2bo2bo2bo
2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo5$73bo$72b2o$72bobo$54b2o$55b2o$
54bo6b3o$61bo$62bo9b2o$71b2o$73bo9$87bo$86b2o$86bobo!
Using that component and some others I was able to remove the need for any LWSSs in the Component Collection. Here's the updated collection:

Code: Select all

x = 1884, y = 2285, rule = LifeHistory
49.A13.A85.A13.A$48.A.A11.A.A83.A.A11.A.A$49.A13.A85.A13.A$50.3A.2A.
2A.3A87.3A.2A.2A.3A$52.A.A3.A.A91.A.A3.A.A$55.A.A97.A.A$53.3A.3A93.3A
.3A$52.A7.A91.A7.A$51.A.A5.A.A89.A.A5.A.A$52.2A5.2A91.2A5.2A$46.2A8.A
8.2A79.2A8.A8.2A$46.A.A3.9A3.A.A79.A.A3.9A3.A.A$47.A.A.A9.A.A.A81.A.A
.A9.A.A.A$41.2A6.A.11A.A6.2A69.2A6.A.11A.A6.2A$2.D7.D30.A.A5.A13.A5.A
.A69.A.A5.A13.A5.A.A$3.D5.D32.A.A5.13A5.A.A71.A.A5.13A5.A.A$4.D3.D34.
A.A.A17.A.A.A73.A.A.A17.A.A.A$5.D.D37.A.19A.A77.A.19A.A$6.D38.A21.A
77.A21.A$5.D.D38.21A79.21A$4.D3.D33.2A25.2A71.2A25.2A$3.D5.D31.A.27A.
A69.A.27A.A$2.D7.D30.A29.A69.A29.A$42.29A71.29A$39.A33.A65.A33.A$39.
35A65.35A$56.A2.A2.A93.A2.A$39.15A11.9A65.15A8.2A.9A$35.2A.A2.A2.A2.A
2.A2.A11.A2.A2.A2.A.2A57.2A.A2.A2.A2.A2.A2.A8.2A.A2.A2.A2.A.2A$35.A.
2A35.2A.A57.A.2A35.2A.A8$65.2A4.A$64.2A4.2A$50.2A14.A3.A.A$49.A.A114.
2A$51.A5.2A101.2A3.2A$58.2A101.2A4.A$57.A102.A4$75.2A$75.A.A83.2A$75.
A86.2A$161.A20$49.A13.A85.A13.A$48.A.A11.A.A83.A.A11.A.A$49.A13.A85.A
13.A$50.3A.2A.2A.3A87.3A.2A.2A.3A$52.A.A3.A.A91.A.A3.A.A$55.A.A97.A.A
$53.3A.3A93.3A.3A$52.A7.A91.A7.A$51.A.A5.A.A89.A.A5.A.A$52.2A5.2A91.
2A5.2A$46.2A8.A8.2A79.2A8.A8.2A$46.A.A3.9A3.A.A79.A.A3.9A3.A.A$47.A.A
.A9.A.A.A81.A.A.A9.A.A.A$41.2A6.A.11A.A6.2A69.2A6.A.11A.A6.2A$2.D7.D
30.A.A5.A13.A5.A.A69.A.A5.A13.A5.A.A$3.D5.D32.A.A5.13A5.A.A71.A.A5.
13A5.A.A$4.D3.D34.A.A.A17.A.A.A73.A.A.A17.A.A.A$5.D.D37.A.19A.A77.A.
19A.A$6.D38.A21.A77.A21.A$6.D39.21A79.21A$6.D35.2A25.2A71.2A25.2A$6.D
34.A.27A.A69.A.27A.A$6.D34.A29.A69.A29.A$42.29A71.29A$39.A33.A65.A33.
A$39.35A65.35A$56.A99.A$37.9A.7A5.15A63.10A.A.4A5.15A$36.A2.A2.A2.A.A
2.A2.A5.A2.A2.A2.A2.A2.A.2A58.A2.A2.A2.A.2A.A2.A5.A2.A2.A2.A2.A2.A.2A
$36.2A36.2A.A58.2A36.2A.A5$151.2A4.2A$44.A107.2A2.2A$44.2A7.2A96.A6.A
$43.A.A6.2A$54.A2$47.A101.3A16.2A$47.2A102.A15.2A$46.A.A101.A18.A$38.
3A$40.A$39.A4.2A$45.2A$44.A2$129.2A$130.2A$129.A19$49.A13.A85.A13.A
85.A13.A85.A13.A85.A13.A85.A13.A85.A13.A$48.A.A11.A.A83.A.A11.A.A83.A
.A11.A.A83.A.A11.A.A83.A.A11.A.A83.A.A11.A.A83.A.A11.A.A$49.A13.A85.A
13.A85.A13.A85.A13.A85.A13.A85.A13.A85.A13.A$50.3A.2A.2A.3A87.3A.2A.
2A.3A87.3A.2A.2A.3A87.3A.2A.2A.3A87.3A.2A.2A.3A87.3A.2A.2A.3A87.3A.2A
.2A.3A$52.A.A3.A.A91.A.A3.A.A91.A.A3.A.A91.A.A3.A.A91.A.A3.A.A91.A.A
3.A.A91.A.A3.A.A$55.A.A97.A.A97.A.A97.A.A97.A.A97.A.A97.A.A$53.3A.3A
93.3A.3A93.3A.3A93.3A.3A93.3A.3A93.3A.3A93.3A.3A$52.A7.A91.A7.A91.A7.
A91.A7.A91.A7.A91.A7.A91.A7.A$51.A.A5.A.A89.A.A5.A.A89.A.A5.A.A89.A.A
5.A.A89.A.A5.A.A89.A.A5.A.A89.A.A5.A.A$52.2A5.2A91.2A5.2A91.2A5.2A91.
2A5.2A91.2A5.2A91.2A5.2A91.2A5.2A$46.2A8.A8.2A79.2A8.A8.2A79.2A8.A8.
2A79.2A8.A8.2A79.2A8.A8.2A79.2A8.A8.2A79.2A8.A8.2A$46.A.A3.9A3.A.A79.
A.A3.9A3.A.A79.A.A3.9A3.A.A79.A.A3.9A3.A.A79.A.A3.9A3.A.A79.A.A3.9A3.
A.A79.A.A3.9A3.A.A$47.A.A.A9.A.A.A81.A.A.A9.A.A.A81.A.A.A9.A.A.A81.A.
A.A9.A.A.A81.A.A.A9.A.A.A81.A.A.A9.A.A.A81.A.A.A9.A.A.A$41.2A6.A.11A.
A6.2A69.2A6.A.11A.A6.2A69.2A6.A.11A.A6.2A69.2A6.A.11A.A6.2A69.2A6.A.
11A.A6.2A69.2A6.A.11A.A6.2A69.2A6.A.11A.A6.2A$6.D8.2D24.A.A5.A13.A5.A
.A69.A.A5.A13.A5.A.A69.A.A5.A13.A5.A.A53.A15.A.A5.A13.A5.A.A52.A16.A.
A5.A13.A5.A.A69.A.A5.A13.A5.A.A69.A.A5.A13.A5.A.A$5.D.D8.D25.A.A5.13A
5.A.A71.A.A5.13A5.A.A71.A.A5.13A5.A.A55.2A14.A.A5.13A5.A.A54.2A15.A.A
5.13A5.A.A71.A.A5.13A5.A.A71.A.A5.13A5.A.A$4.D3.D7.D26.A.A.A17.A.A.A
73.A.A.A17.A.A.A73.A.A.A17.A.A.A50.A4.2A16.A.A.A17.A.A.A54.2A3.A.A11.
A.A.A17.A.A.A73.A.A.A17.A.A.A73.A.A.A17.A.A.A$3.D5.D6.D28.A.19A.A77.A
.19A.A77.A.19A.A53.A23.A.19A.A62.2A13.A.19A.A77.A.19A.A77.A.19A.A$3.
7D6.D28.A21.A77.A21.A77.A21.A51.3A23.A21.A62.A14.A21.A77.A21.A77.A21.
A$2.D7.D5.D29.21A79.21A79.21A79.21A79.21A79.21A79.21A$2.D7.D5.D25.2A
25.2A71.2A25.2A71.2A25.2A71.2A25.2A71.2A25.2A71.2A25.2A71.2A25.2A$2.D
7.D5.D24.A.27A.A69.A.27A.A69.A.27A.A69.A.27A.A69.A.27A.A69.A.27A.A69.
A.27A.A$2.D7.D4.3D23.A29.A69.A29.A69.A29.A69.A29.A60.2A7.A29.A69.A29.
A69.A29.A$42.29A71.29A62.A8.29A71.29A60.A.A8.29A71.29A71.29A$44.A2.A
2.A2.A2.A2.A2.A2.A2.A78.A2.A2.A2.A2.A2.A2.A2.A65.A12.A2.A2.A2.A2.A2.A
2.A2.A78.A2.A2.A2.A2.A2.A2.A2.A64.A13.A2.A2.A2.A2.A2.A2.A2.A78.A2.A2.
A2.A2.A2.A2.A2.A81.A2.A2.A2.A2.A2.A2.A$142.3A87.3A7.3A97.3A92.A4.3A
95.5A95.5A.2A$141.A2.A96.A2.A96.A2.A91.A.A2.A2.A96.A2.A96.A2.A.2A$
141.2A97.A.A99.A94.2A3.A96.A99.A$136.A.A102.A97.3A97.3A97.2A98.2A$
137.2A93.A5.A100.A99.A$43.2A5.A86.A10.A84.2A2.2A$38.2A4.2A3.2A96.2A
83.2A3.A.A$37.A.A3.A5.A.A90.2A3.A.A$39.A103.2A$135.2A5.A177.A$134.A.A
183.2A126.3A87.A4.2A$136.A182.A.A118.2A6.A89.2A4.2A$139.2A197.2A100.A
.A6.A87.A.A3.A14.2A$139.A.A195.2A101.A92.2A23.A.A81.2A$53.3A83.A190.
3A6.A194.2A15.2A5.A84.2A3.2A$53.A278.A101.2A97.A16.2A90.A4.2A$54.A
265.2A9.A101.A.A116.A96.A$321.2A112.A$320.A$534.3A$536.A$535.A111.2A$
646.2A$648.A4$306.A$306.2A$305.A.A15$49.A13.A85.A13.A85.A13.A85.A13.A
85.A13.A85.A13.A85.A13.A85.A13.A85.A13.A85.A13.A85.A13.A85.A13.A85.A
13.A85.A13.A85.A13.A85.A13.A85.A13.A85.A13.A$48.A.A11.A.A83.A.A11.A.A
83.A.A11.A.A83.A.A11.A.A83.A.A11.A.A83.A.A11.A.A83.A.A11.A.A83.A.A11.
A.A83.A.A11.A.A83.A.A11.A.A83.A.A11.A.A83.A.A11.A.A83.A.A11.A.A83.A.A
11.A.A83.A.A11.A.A83.A.A11.A.A83.A.A11.A.A83.A.A11.A.A$49.A13.A85.A
13.A85.A13.A85.A13.A85.A13.A85.A13.A85.A13.A85.A13.A85.A13.A85.A13.A
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29.A69.A29.A$.3D5.5D28.29A71.29A$38.2A33.2A63.2A33.2A$37.A.35A.A61.A.
35A.A$37.A18.A18.A61.A18.A18.A$38.11A.4A5.4A.11A63.11A.4A5.4A.11A$35.
A12.A.A3.A3.A3.A.A12.A57.A12.A.A3.A3.A3.A.A12.A$35.6A.4A3.A3.A5.A3.A
3.4A.6A57.6A.4A3.A3.A5.A3.A3.4A.6A$40.A.A3.A5.A7.A5.A3.A.A67.A.A3.A5.
A7.A5.A3.A.A$34.A.2A3.A3.A6.2A5.2A6.A3.A3.2A.A55.A.2A3.A3.A6.2A5.2A6.
A3.A3.2A.A$34.2A2.A5.A23.A5.A2.2A55.2A2.A5.A23.A5.A2.2A$37.A6.2A3.2A
11.2A3.2A6.A61.A6.2A3.2A11.2A3.2A6.A$34.3A13.A11.A13.3A55.3A13.A11.A
13.3A$34.A6.2A7.A.A7.A.A7.2A6.A55.A6.2A7.A.A7.A.A7.2A6.A$35.2A5.A8.2A
7.2A8.A5.2A57.2A5.A8.2A7.2A8.A5.2A$36.A5.A.A23.A.A5.A59.A5.A.A23.A.A
5.A$35.A7.2A23.2A7.A57.A7.2A23.2A7.A$35.2A39.2A57.2A39.2A30$53.2A3.2A
$49.A3.2A3.2A3.A$48.A.A11.A.A$49.A13.A$38.2A10.3A.2A.2A.3A10.2A$38.A.
A11.A.A3.A.A11.A.A$39.2A14.A.A14.2A8.A$53.3A.3A23.2A$52.A7.A21.2A$42.
A8.A.A5.A.A8.A$41.A.A8.2A5.2A8.A.A$42.2A2.2A8.A8.2A2.2A$46.A.A3.9A3.A
.A23.A$47.A.A.A9.A.A.A22.2A$41.2A6.A.11A.A6.2A17.2A$41.A.A5.A13.A5.A.
A$2.5D3.3D29.A.A5.13A5.A.A13.3A$4.D4.D3.D29.A.A.A17.A.A.A14.A$4.D8.D
24.2A5.A.19A.A17.A$4.D7.D24.A2.A4.A21.A$4.D5.2D25.A.A6.21A$4.D7.D25.A
3.2A25.2A$D3.D8.D27.A.27A.A$D3.D4.D3.D27.A29.A$.3D6.3D29.29A$38.2A33.
2A$37.A.35A.A$37.A18.A18.A$38.11A.4A5.4A.11A$35.A12.A.A3.A3.A3.A.A12.
A$35.6A.4A3.A3.A5.A3.A3.4A.6A$40.A.A3.A5.A7.A5.A3.A.A$34.A.2A3.A3.A6.
2A5.2A6.A3.A3.2A.A$34.2A2.A5.A23.A5.A2.2A13.A$37.A6.2A3.2A11.2A3.2A6.
A15.2A$34.3A13.A11.A13.3A12.A.A$34.A6.2A7.A.A7.A.A7.2A6.A$35.2A5.A8.
2A7.2A8.A5.2A$36.A5.A.A23.A.A5.A$35.A7.2A23.2A7.A$35.2A39.2A29$53.2A
3.2A$49.A3.2A3.2A3.A$48.A.A11.A.A$49.A13.A$38.2A10.3A.2A.2A.3A10.2A$
38.A.A11.A.A3.A.A11.A.A$39.2A14.A.A14.2A$53.3A.3A$52.A7.A$42.A8.A.A5.
A.A8.A$41.A.A8.2A5.2A8.A.A$42.2A2.2A8.A8.2A2.2A$46.A.A3.9A3.A.A$47.A.
A.A9.A.A.A$41.2A6.A.11A.A6.2A$34.2A5.A.A5.A13.A5.A.A5.2A$33.A2.A5.A.A
5.13A5.A.A5.A2.A$2.5D5.2D19.A.A7.A.A.A17.A.A.A7.A.A$4.D6.D.D20.A3.2A
5.A.19A.A5.2A3.A$4.D5.D2.D23.A2.A4.A21.A4.A2.A$4.D4.D3.D23.A.A6.21A6.
A.A$4.D4.D3.D24.A3.2A25.2A3.A$4.D4.7D18.2A5.A.27A.A5.2A$D3.D8.D19.A2.
A4.A29.A4.A2.A$D3.D8.D19.A.A6.29A6.A.A$.3D9.D20.A3.2A33.2A3.A$37.A.
35A.A$37.A18.A18.A$38.11A.4A5.4A.11A$35.A12.A.A3.A3.A3.A.A12.A$28.2A
5.6A.4A3.A3.A5.A3.A3.4A.6A5.2A$27.A2.A9.A.A3.A5.A7.A5.A3.A.A9.A2.A$
27.A2.A3.A.2A3.A3.A6.2A5.2A6.A3.A3.2A.A3.A2.A$28.2A4.2A2.A5.A23.A5.A
2.2A4.2A$37.A6.2A3.2A11.2A3.2A6.A$34.3A13.A11.A13.3A$34.A6.2A7.A.A7.A
.A7.2A6.A$30.A4.2A5.A8.2A7.2A8.A5.2A4.A$29.A.A4.A5.A.A23.A.A5.A4.A.A$
29.A.A3.A7.2A23.2A7.A3.A.A$30.A4.2A39.2A4.A3$28.2A53.2A$27.A2.A51.A2.
A$28.A.A33.2A16.A.A$29.A33.A.A7.2A8.A$65.A6.2A$74.A!
A consequence of one of the improvements that I made is the creation of a "B4" component. Appearances of the sequence "B1' B2 X* B3" need to be replaced with the sequence "B1 B2 B3 X* B4". I've also added the components which place the small still-lifes around the outside which were omitted in previous versions of the collection. This means the sequence "J1* I3' J2' J3* J4*" needs to be added to the end of all the recipes.

Edit: I neatened up the final step:

Code: Select all

x = 175, y = 132, rule = B3/S23
66bo$54bobo7bobo51bobo$55b2o8b2o51b2o$55bo52bobo8bo$108b2o$50bo58bo14b
o$48bobo73bobo$49b2o7bo5bo4bo46bo7b2o$56bobo3bobo2bobo46bobo$57b2o4b2o
3b2o46b2o$50bobo69bobo$51b2o69b2o$51bo71bo$57bo59bo$58bo57bo$56b3o57b
3o2$39bo95bo$37bobo95bobo$38b2o8bo77bo8b2o$49bo75bo$41bobo3b3o75b3o3bo
bo$42b2o87b2o$42bo89bo2$31bo111bo$29bobo111bobo$30b2o8bo93bo8b2o$41b2o
89b2o$33bobo4b2o91b2o4bobo$34b2o44bo13bo44b2o$34bo44bobo11bobo44bo$80b
o13bo$23bo45b2o10b3ob2ob2ob3o10b2o45bo$21bobo45bobo11bobo3bobo11bobo
45bobo$22b2o8bo37b2o14bobo14b2o37bo8b2o$33b2o49b3ob3o49b2o$25bobo4b2o
49bo7bo49b2o4bobo$26b2o45bo8bobo5bobo8bo45b2o$26bo45bobo8b2o5b2o8bobo
45bo$73b2o2b2o8bo8b2o2b2o$77bobo3b9o3bobo$78bobobo9bobobo$24bo47b2o6bo
b11obo6b2o47bo$25b2o38b2o5bobo5bo13bo5bobo5b2o38b2o$24b2o38bo2bo5bobo
5b13o5bobo5bo2bo38b2o$64bobo7bobobo17bobobo7bobo$65bo3b2o5bob19obo5b2o
3bo$20bo47bo2bo4bo21bo4bo2bo47bo$21b2o45bobo6b21o6bobo45b2o$20b2o47bo
3b2o25b2o3bo47b2o$65b2o5bob27obo5b2o$57b2o5bo2bo4bo29bo4bo2bo5b2o$56bo
2bo4bobo6b29o6bobo4bo2bo$56bobo6bo3b2o33b2o3bo6bobo$57bo3b2o5bob35obo
5b2o3bo$60bo2bo4bo37bo4bo2bo$60bobo6b37o6bobo$61bo3b2o41b2o3bo$8bo48b
2o5bob43obo5b2o48bo$9b2o38b2o5bo2bo4bo45bo4bo2bo5b2o38b2o$8b2o38bo2bo
4bobo6b45o6bobo4bo2bo38b2o$13bo34bobo6bo3b2o49b2o3bo6bobo34bo$14b2o33b
o3b2o5bob51obo5b2o3bo33b2o$13b2o37bo2bo4bo53bo4bo2bo37b2o$52bobo6b53o
6bobo$53bo3b2o57b2o3bo$49b2o5bob59obo5b2o$48bo2bo4bo30bo30bo4bo2bo$48b
obo6b23ob4o5b4ob23o6bobo$49bo3b2o24bobo3bo3bo3bobo24b2o3bo$52bob18ob4o
3bo3bo5bo3bo3b4ob18obo$52bo18bobo3bo5bo7bo5bo3bobo18bo$53b11ob4o3bo3bo
6b2o5b2o6bo3bo3b4ob11o$50bo12bobo3bo5bo23bo5bo3bobo12bo$43b2o5b6ob4o3b
o3bo6b2o3b2o11b2o3b2o6bo3bo3b4ob6o5b2o$42bo2bo9bobo3bo5bo13bo11bo13bo
5bo3bobo9bo2bo$42bo2bo3bob2o3bo3bo6b2o3b2o7bobo7bobo7b2o3b2o6bo3bo3b2o
bo3bo2bo$43b2o4b2o2bo5bo13bo8b2o7b2o8bo13bo5bo2b2o4b2o$52bo6b2o3b2o7bo
bo23bobo7b2o3b2o6bo$49b3o13bo8b2o23b2o8bo13b3o$49bo6b2o7bobo39bobo7b2o
6bo$45bo4b2o5bo8b2o39b2o8bo5b2o4bo$44bobo4bo5bobo16b2o19b2o16bobo5bo4b
obo$44bobo3bo7b2o15bo2bo17bo2bo15b2o7bo3bobo$45bo4b2o16b2o5bo2bo17bo2b
o5b2o16b2o4bo$67bo2bo5b2o19b2o5bo2bo$17b3o40b2o5bo2bo33bo2bo5b2o40b3o$
19bo23b2o14bo2bo5b2o35b2o5bo2bo14b2o23bo$18bo23bo2bo13bo2bo49bo2bo13bo
2bo23bo$43bobo14b2o51b2o14bobo$44bo85bo$75b3o$77bo$76bo15b2o$92bobo$
92bo4$3o169b3o$2bo66b3o34b3o63bo$bo69bo34bo66bo$21b2o47bo36bo44b2o$22b
2o127b2o$21bo131bo$56bo10bo50bo$32bo23b2o9b2o48b2o23bo$32b2o14bo6bobo
8bobo48bobo6bo14b2o$31bobo14b2o75b2o14bobo$40bo6bobo75bobo6bo$40b2o91b
2o$39bobo91bobo3$19b2o133b2o$20b2o131b2o$19bo135bo6$33b2o105b2o$32bobo
105bobo$25b2o7bo105bo7b2o$24bobo121bobo$17b2o7bo121bo7b2o$16bobo137bob
o$9b2o7bo137bo7b2o$8bobo153bobo$10bo153bo!
I've updated the component collection to reflect this improved final step.

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iNoMed
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Re: Small Spaceship Syntheses

Post by iNoMed » August 29th, 2021, 10:43 am

Weekender in 51G (Down from 56G), achieved by eliminating the hyper-expensive dock converter in favour of a somewhat-expensive conversion for the other half of the still-life:

Code: Select all

x = 222, y = 101, rule = B3/S23
90bo$89bo$89b3o7$105bo$105bobo$105b2o6$31bo$29bobo$30b2o2$204bo$205b2o
$204b2o3$201bobo5bobo$202b2o5b2o$58bo143bo7bo$58bobo$58b2o89bo56bo$
150b2o52bobo$149b2o54b2o$60bobo$60b2o94b2ob2o37bo14b2ob2o$61bo86bo6bob
obobo37b2o11bobobobo$148b2o5bobo3bo36b2o12bobo3bo$147bobo4b2obo3bob2o
38bo5b2obobo3bob2o$154bo2bobobob2o39b2o3b2obobobobob2o$156b2ob2o42b2o
8b2ob2o3$201b2o$149b3o50b2o3b2o$151bo49bo4bobo$27b2o23b3o95bo57bo$26bo
bo23bo102b2o58b2o$28bo24bo100b2o59bobo$42b3o111bo58bo6$48b2o$47bo2bo
11b2o$47bobo11b2o$48bo14bo17$23b2o$24b2o$23bo21$81b3o$bo79bo$b2o79bo$o
bo!
Edit: And here it is in 38G, thanks to a completely-reworked final step by Blinkerspawn:

Code: Select all

x = 297, y = 101, rule = B3/S23
90bo$89bo$89b3o7$105bo$105bobo$105b2o3$280bobo$281b2o$273bo7bo$31bo
239bobo$29bobo240b2o16bobo$30b2o250bo7b2o$281bo9bo$281b3o$208bo$206bob
o$207b2o68bo$157bo117bobo$157bobo50b2o54bo9b2o$157b2o51bobo54b2o18b2o$
58bo146b2o3bo55b2o19bo5bo$58bobo145bo49b2o30bo3bo$58b2o95b2o46b3o7b2o
40b4o26b3o4b3o$154b2o47bo9bobo39b2ob2o3bobo19bo$156bo56bo43b2o5b2o$60b
obo201bo$60b2o81b2ob2o46b2ob2o77b2ob2o$61bo80bobobobo44bobobobo75bobob
obo$142bobo3bo44bobo3bo75bobo3bo$141b2obo3bob2o40b2obo3bob2o71b2obo3bo
b2o11bo$141bo2bobobob2o40bo2bobobob2o71bo2bobobob2o9b2o$143b2ob2o46b2o
b2o77b2ob2o14b2o$257b2o$258b2o$257bo3$27b2o23b3o211b2o$26bobo23bo212bo
bo$28bo24bo213bo8b2o4b3o$42b3o230bobo6bo$277bo5bo$293b2o$292b2o$281b3o
10bo$281bo$48b2o232bo$47bo2bo11b2o208b2o$47bobo11b2o208bobo$48bo14bo
209bo17$23b2o$24b2o$23bo21$81b3o$bo79bo$b2o79bo$obo!
Edit 2: And here's an improvement to 37G (Meaning any improvement will take it to one glider per bit), too bad the relevant improvement to the activation of a traffic light looks awkward:

Code: Select all

x = 43, y = 45, rule = B3/S23
38bobo$28bo9b2o$29b2o8bo$18bo9b2o$16bobo$17b2o$27bo6bobo4bo$26bo7b2o4b
o$26b3o6bo4b3o3$22bo$20bobo$11bo9b2o$12b2o$11b2o19b2o4bo$b2o30bo3bo$4o
26b3o4b3o$2ob2o3bobo19bo$2b2o5b2o$9bo$21b2ob2o$20bobobobo$20bobo3bo$
19b2obo3bob2o11bo$19bo2bobobob2o9b2o$21b2ob2o14b2o$2b2o$3b2o$2bo3$11b
2o$10bobo$12bo8b2o4b3o$20bobo6bo$22bo5bo$38b2o$37b2o$26b3o10bo$26bo$
27bo$17b2o$16bobo$18bo!
Edit 3: It never stops improving - Here's a 35G:

Code: Select all

x = 39, y = 45, rule = B3/S23
34bobo$24bo9b2o$25b2o8bo$14bo9b2o$12bobo$13b2o$23bo6bobo4bo$22bo7b2o4b
o$22b3o6bo4b3o3$18bo$16bobo$7bo9b2o$8b2o$7b2o19b2o4bo$29bo3bo$26b3o4b
3o$26bo$6bo$4bobo$5b2o10b2ob2o$2bo13bobobobo$obo13bobo3bo$b2o12b2obo3b
ob2o11bo$15bo2bobobob2o9b2o$17b2ob2o14b2o6$7b2o$6bobo$8bo8b2o4b3o$16bo
bo6bo$18bo5bo$7b2o25b2o$6bobo24b2o$8bo13b3o10bo$22bo$23bo$13b2o$12bobo
$14bo!
Edit 4 on September 6: Finally found a suitable eaterless traffic light inserter that saves one glider (Weekender in 33G):

Code: Select all

x = 113, y = 33, rule = B3/S23
85bo$86bo8bo$84b3o8bobo$95b2o9bobo$106b2o$93bo13bo$94bo5bo$92b3o3bobo$
82bobo14b2o$83b2o$83bo2$109bo$108b2o$2b2ob2o84b2ob2o12bobo$bobobobo82b
obobobo$bobo3bo82bobo3bo$2obo3bob2o78b2obo3bob2o$o2bobobob2o72bo5bo2bo
bobob2o11bo$2b2ob2o74bobo7b2ob2o14b2o$82b2o21b3o2bobo$78b2o20b2o3bo$
77bobo20b2o4bo$79bo$8b3o$10bo98b2o$9bo82b3o14bobo$15b3o52b2o22bo8b3o3b
o$15bo55b2o20bo9bo$16bo53bo11b3o19bo$84bo10b2o$83bo11bobo$95bo!
Last edited by iNoMed on September 6th, 2021, 2:15 pm, edited 1 time in total.

Code: Select all

x = 35, y = 5, rule = B3/S23
4b2o3b2o3bo3b2ob2o3b2ob2o$2o2bobo3bo2bobobobobobobobobobo$obobo2bo2bob
o2bobo2bo2bobo3bobo$2bobo3bobobobo2bo5bobo3bobob2o$b2ob2o3b2ob2o3b2o3b
2ob2o3b2ob2o!

IgnacyJ
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Re: Small Spaceship Syntheses

Post by IgnacyJ » August 30th, 2021, 4:11 am

Now that we can synthesize these greyships, maybe the next step would be to tackle a spacefiller?
Largely inactive on the forums - contact me on Discord.

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iNoMed
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Re: Small Spaceship Syntheses

Post by iNoMed » August 30th, 2021, 8:31 pm

Just crossposting this alternative 25G synthesis of B29 from the Discord, made while the forums were down:

Code: Select all

x = 155, y = 30, rule = B3/S23
136bo$137b2o$136b2o$78bobo$79b2o64bo$79bo50bobo10b2o4bo$131b2o11b2o2bo
$131bo16b3o2$50bo37bobo31bo4bobo$51b2o35b2o33b2o3b2o$50b2o29b2o6bo4b2o
26b2o4bo6b2o4b2o$55bo24bobo10bobo38bobo3bobo$55bobo24bo10b2o39b2o4b2o
10bobo$55b2o95b2o$6bo8b2o34b2o40b2o45b2o11bo$7b2o5bobo29bo3bobo35bo3bo
bo40bo3bobo$6b2o6bo29b3o3bo35b3o3bo32bo7b3o3bo$13b2o28bo5b2o34bo5b2o
32b2o5bo5b2o7bo$42bobo39bobo37bobo4bobo12b2o$4b2o35bo2bo38bo2bo43bo2bo
12bobo$3bobo35bobo39bobo44bobo$5bo36bo41bo46bo10b3o$134b2o8bo$133bobo
7bo$bo133bo$b2o122b3o$obo8bo115bo3bo7b2o$10b2o114bo4b2o6bobo$10bobo
117bobo6bo!

Code: Select all

x = 35, y = 5, rule = B3/S23
4b2o3b2o3bo3b2ob2o3b2ob2o$2o2bobo3bo2bobobobobobobobobobo$obobo2bo2bob
o2bobo2bo2bobo3bobo$2bobo3bobobobo2bo5bobo3bobob2o$b2ob2o3b2ob2o3b2o3b
2ob2o3b2ob2o!

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dvgrn
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Re: Small Spaceship Syntheses

Post by dvgrn » September 6th, 2021, 6:21 pm

The weekender is down to 33 gliders, and therefore the doo-dah spaceship has been reduced to 39 gliders. Looks like doo-dahs can be built easily with the same repeat rate as the weekender -- now 427 ticks, down from 435 thanks to a final suggestion from iNoMed, though the recipe shown on Catagolue needs 498 because the initial teardrop-plus-glider interaction happens to be the wrong way around.

Code: Select all

x = 418, y = 430, rule = LifeHistory
12.E$13.E$11.3E402.E$415.E$415.3E3$14.E$12.E.E$13.2E17$15.A$16.A352.A
$14.3A352.A.A$369.2A9.A.A$380.2A$23.A357.A$24.A5.A$22.3A3.A.A$12.A.A
14.2A$13.2A$13.A8$13.A$11.A.A$12.2A$375.A.A$375.2A$376.A13$349.A$347.
2A$348.2A$364.A.A$364.2A$365.A4$363.A.A$363.2A$364.A6$55.A.A$56.2A$
56.A2$32.A$33.A$31.3A5$316.A.A$316.2A$317.A2$319.A$318.A$318.3A11$
118.E$119.2E$118.2E190.E$308.2E$309.2E2$70.A$68.A.A48.E.E$69.2A49.2E$
120.E6$71.A$72.A$70.3A9$121.C$122.2C138.C.C$121.2C139.2C10.C$263.C9.C
$273.3C$129.C$130.2C3.C.C$120.C8.2C5.2C$121.C14.C$119.3C9$118.C.C$
119.2C$119.C149.C$268.C$268.3C14$241.C$241.C.C$241.2C15.C$257.C$257.
3C4$257.C$256.C$256.3C6$163.C$164.C$162.3C3$138.C$139.2C$138.2C4$210.
C$209.C$209.3C3$213.C$211.2C$212.2C17$175.C.C$176.2C$176.C7$177.C$
178.2C$177.2C$204.2C$159.3C42.C.C$161.C42.C$160.C$175.3C$177.C$176.C
4$214.C$213.2C$213.C.C17$156.C$156.2C$155.C.C13$275.3C$275.C$276.C4$
265.3C9.3C$265.C7.2C2.C$115.C150.C5.2C4.C$115.2C157.C$114.C.C2$277.C$
129.2C145.2C$107.2C21.2C139.2C3.C.C$106.C.C20.C140.2C$108.C10.2C151.C
$120.2C141.C$119.C142.2C$262.C.C18$120.E$120.2E$119.E.E3$309.2E$308.
2E$118.2E190.E$119.2E$118.E17$53.A257.2A$53.2A255.2A$52.A.A257.A$69.A
$69.2A$68.A.A5$320.2A$320.A.A$320.A17$49.2A$48.A.A$50.A12$383.A$382.
2A$382.A.A4$373.A11.A$372.2A10.2A$372.A.A4.3A2.A.A$8.2A369.A$7.A.A
370.A$9.A2$383.2A$22.3A358.A.A$2A22.A352.3A3.A$.2A20.A353.A$A11.3A
363.A$14.A354.2A$13.A355.A.A$369.A18$13.2E$12.E.E$14.E3$415.3E$415.E$
11.3E402.E$13.E$12.E!
I suppose the next glider-to-weekender converter blueprint should really allow for an optional attachment to make doo-dahs. Should be easy enough, just two gliders synchronized to hit two identical components that synch three gliders each, anywhere along the weekender output lane.

But now I'm thinking more in terms of a 1G weekender seed. There's already a 1G doo-dah attachment seed hiding in the Exploratorium. And come to think of it, that one is probably hugely overkill: any octohash constellation that throws an R-pentomino to the side fast enough should make a 1G seed for a half-doo-dah, with no splitters needed at all.

EDIT: Drat, there might not be any such thing in the 12x12 2-object search space, though I kind of bet there's something in the 3-common-object space. There's one that's within a couple of cells of working -- run this to T=60, then move the R-pentominoes two cells toward the weekender, and it will doo-dah away just fine:

Code: Select all

x = 17, y = 40, rule = B3/S23
16bo$14b2o$2bo12b2o$bobo4b2o$o2bo3bobo$b2o4b2o6$8bo$6b2obo$5bo4bo$5b2o
2bo$3bobob2o$bo2bo$bo$bobo$2b2ob2o$2b2ob2o$bobo$bo$bo2bo$3bobob2o$5b2o
2bo$5bo4bo$6b2obo$8bo6$b2o4b2o$o2bo3bobo$bobo4b2o$2bo12b2o$14b2o$16bo!
That was the best one I saw, but there are thousands of matches so I could easily have missed one. Really it would be a good idea to write an auto-arranger for the output from the octohash database, to align some test pattern to the matching active reaction and throw out anything that doesn't work in that context.

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iNoMed
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Re: Small Spaceship Syntheses

Post by iNoMed » September 18th, 2021, 5:45 am

After manually looking through all 200 available x66-producing D2_+1 soups in Catagolue, I present... x66 in 12G, version two:

Code: Select all

x = 164, y = 53, rule = B3/S23
147bobo$148b2o$148bo3$16bobo$16b2o$17bo3$107bo$108b2o5bobo$107b2o6b2o
44bo$116bo44bo$161bo4$67bo84bo$65b2o86bo$66b2o83b3o$160b3o$69bo38b3o$
68b2o$68bobo$75b2o$75bobo83b3o$75bo33b3o$149b2o$148bobo$2bo147bo$2o63b
3o92b3o$b2o105b3o$5b2o$4b2o$6bo3$66bo94bo$66bo42bo51bo$66bo42bo51bo$
109bo9$148bo$148b2o$147bobo!
Sadly not an improvement to the existing synthesis though...

Code: Select all

x = 35, y = 5, rule = B3/S23
4b2o3b2o3bo3b2ob2o3b2ob2o$2o2bobo3bo2bobobobobobobobobobo$obobo2bo2bob
o2bobo2bo2bobo3bobo$2bobo3bobobobo2bo5bobo3bobob2o$b2ob2o3b2ob2o3b2o3b
2ob2o3b2ob2o!

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NimbleRogue
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Re: Small Spaceship Syntheses

Post by NimbleRogue » October 4th, 2021, 3:15 pm

How do you get apgmera to search for a specified part of a pattern (in red)?

Code: Select all

x = 4, y = 3, rule = B3-cnqy4e5kr6n7c/S2-i3-ay4einrtyz5cejn6cin78
bo$3o$ob2o!

Code: Select all

#14c/85265o
x = 10, y = 4, rule = B2-an3-iqy4iknrtz5aijqy6aei78/S02ck3nqy4eiqrtwy5-ekq6-i78
2bo4bo$3b4o$ob6obo$2b6o!

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dvgrn
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Re: Small Spaceship Syntheses

Post by dvgrn » October 4th, 2021, 4:29 pm

NimbleRogue wrote:
October 4th, 2021, 3:15 pm
How do you get apgmera to search for a specified part of a pattern (in red)?
Please clarify. What does "in red" mean?

apgmera doesn't really search for anything, anyway, except for "interesting stuff". It just generates soups and reports what Ash Patterns are Generated.

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NimbleRogue
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Re: Small Spaceship Syntheses

Post by NimbleRogue » October 4th, 2021, 11:38 pm

For example
dvgrn wrote:
October 11th, 2020, 3:54 pm
dvgrn wrote:
October 10th, 2020, 1:38 pm
... seems like there might be one where the activation glider can come from the SE, passing in front of the preexisting pufferfish block puffer, but I haven't proved that out yet. And/or maybe there's one where the two still lifes can be made simultaneously by three gliders from the NW and NE.
I had a moment to look at this again, and it seems like the first option might not quite work out -- but it's close enough that maybe if someone else has a fresh look at it, an obvious fix will present itself. Here's an example of it not quite working:

Code: Select all

x = 365, y = 284, rule = LifeHistory
91.A$92.2A261.A.A$91.2A262.2A$356.A$97.A$98.2A$97.2A35$121.C.C$122.2C
$122.C4.C.C$128.2C$128.C8$155.A$153.A.A$154.2A$297.A$296.A$144.A151.
3A$145.2A9.A$144.2A4.A3.A.A$151.2A2.2A$150.2A11$301.A.A$301.2A$173.A
128.A$171.A.A$172.2A$152.A$153.2A$152.2A26$4.A$5.2A80.A$4.2A74.A6.A.A
$80.A.A4.2A$80.2A$95.A$93.2A$10.A83.2A$11.2A70.A$10.2A69.2A$82.2A9$
17.A.A$18.2A$18.A$70.A162.D$68.2A162.3D$9.A59.2A160.2D.2D$7.A.A8.A.A
209.5D$8.2A5.A3.2A$13.A.A3.A$14.2A$233.2D$233.2D4$233.2D$233.2D2$232.
D$74.A156.4D$73.A156.D.4D$73.3A154.2D3.2D$35.A.A193.3D.D$36.2A194.3D$
36.A196.D$17.A$15.A.A$16.2A$51.D$50.3D$49.5D$48.3D.3D$48.6D$49.4D$50.
D2$51.2D$51.2D4$51.2D$51.2D2$50.D$49.4D$48.D.4D$48.2D3.2D$49.3D.D$49.
6D$48.D.4D$49.2D3.D3$48.2D12.2A$9.3A35.D2.D10.2A$11.A35.D2.D12.A$10.A
37.2D3$27.A$27.2A$26.A.A4$60.2A$59.2A$61.A3$71.2A$19.A51.A.A$19.2A50.
A$18.A.A125.A142.3A$.2A143.2A141.A$A.A142.A.A142.A$2.A3$163.2A$162.A.
A$164.A4$82.A204.3A$11.A69.2A204.A$11.2A68.A.A204.A$10.A.A$95.A$94.2A
203.2A$94.A.A58.2A141.2A$79.3A72.A.A143.A$5.A73.A6.3A67.A$5.2A73.A5.A
50.2A$4.A.A80.A50.2A$137.A22$127.2C$126.C.C$128.C3$122.3C$124.C$123.C
30$362.3E$362.E$363.E!

Code: Select all

x = 4, y = 3, rule = B3-cnqy4e5kr6n7c/S2-i3-ay4einrtyz5cejn6cin78
bo$3o$ob2o!

Code: Select all

#14c/85265o
x = 10, y = 4, rule = B2-an3-iqy4iknrtz5aijqy6aei78/S02ck3nqy4eiqrtwy5-ekq6-i78
2bo4bo$3b4o$ob6obo$2b6o!

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dvgrn
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Re: Small Spaceship Syntheses

Post by dvgrn » October 5th, 2021, 8:52 am

NimbleRogue wrote:
October 4th, 2021, 11:38 pm
For example...
Ah, got it. The red is an example of marked cells in LifeHistory format (you can see "LifeHistory" in the RLE header line). Anybody can make red cells to highlight whatever they want; sometimes it's a "specified part of a pattern" like this, and sometimes it's just labels or arrows -- whatever is needed. There's also LifeSuper, which allows more different colors for gliders and for marking/labels. Golly 4.0's Help > Algorithms > Super explains all that.

The only way apgmera can search for this kind of thing is to collect examples of soups that generate the final output, and hope that some of the soups give a hint as to how to build the active objects in question. There are other tools for finding this kind of thing. Try working through Tutorials/Glider syntheses as a start -- we've been adding at least the basic descriptions of more different search tools there. For the particular example you quoted, I was searching for a particular active reaction (the trailing c/2 fuse for the pufferfish) in the octohash database. Anybody can do searches like those; they're very easy as long as you have Golly 4.0 and Python and a copy of the database. Actually finding something that works is another matter, more of an art than a science I suppose.

If you run into things that aren't explained well enough, you can either ask questions in the Basic Questions thread -- or in the Talk page of the above Tutorials/Glider syntheses article or the Suggested LifeWiki edits thread if it's something that is missing from the LifeWiki tutorial. Probably the discussion should move away from here until it gets closer to being about synthesizing spaceships.

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NimbleRogue
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Re: Small Spaceship Syntheses

Post by NimbleRogue » October 5th, 2021, 11:01 am

Thanks for the info

Code: Select all

x = 4, y = 3, rule = B3-cnqy4e5kr6n7c/S2-i3-ay4einrtyz5cejn6cin78
bo$3o$ob2o!

Code: Select all

#14c/85265o
x = 10, y = 4, rule = B2-an3-iqy4iknrtz5aijqy6aei78/S02ck3nqy4eiqrtwy5-ekq6-i78
2bo4bo$3b4o$ob6obo$2b6o!

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Goldtiger997
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Re: Small Spaceship Syntheses

Post by Goldtiger997 » October 13th, 2021, 5:36 am

I finally made an (inexpertly coded) arbitrarily-large-greyship-synthesising script!:

Code: Select all

#synthesise-greyships.py
#Goldtiger997, October 2021

import golly as g
import webbrowser

d = 6032
Goffset = 11
t = [[-1,1],[1,1],[1,-1],[-1,-1]]

#[NE,NW,SW,SE,xoffset,yoffset]
X = ["2$b2o$obo$2bo5b2o$9b2o$8bo7$2bo$2b2o$bobo5$3bo$3b2o$2bobo!","16b2o4bo$15b2o4b2o$17bo3bobo6$24b2o$23b2o$25bo2$27bo$26b2o$26bobo!","","",-19,11]
Y = ["30bo$30b2o$29bobo3$33bo$33b2o$32bobo$24b3o$26bo$25bo4b2o$31b2o$30bo$23b2o$22bobo$24bo4$21b2o$22b2o$21bo7$b2o$obo$2bo!","$39b2o$38b2o$40bo10$57b2o$57bobo$57bo4$68b2o$68bobo$68bo!","","",-33,7]
A1 = ["b114$83b2o$78b2o4b2o$77bobo3bo$79bo10$71b3o$73bo$64b2o6bo$65b2o$64bo7$40bo$40b2o$39bobo3$50b3o$52bo$40b2o9bo$41b2o$40bo9$26bo$26b2o$25bobo9$11b3o$13bo$12bo16$13b3o$15bo$14bo4$6b2o3b3o$5bobo5bo$7bo4bo$b3o$3bo$2bo3$3bo$3b2o$2bobo3$2o$b2o$o!","b114$128bo$127b2o$127bobo7$131b3o$131bo$132bo3b2o$136bobo$136bo5$128b2o$127b2o$129bo2$137b3o$137bo$138bo3$136b2o$135b2o$137bo36$187b2o$187bobo$178b3o6bo$178bo$179bo10$208b2o$207b2o$200b3o6bo$200bo$201bo8$208b2o$207b2o$209bo5$207b2o$206b2o$208bo!","b!","b2bobo$4b2o3bo$4bo5b2o$9b2o37$45bo$46b2o$40bo4b2o$41bo$39b3o3$50bo$51b2o$50b2o4$51bo$49bobo$50b2o8$67bo$65bobo$66b2o!",-103,-89]
A2 = ["b212$160b2o$154b3o2bobo$156bo4bo$155bo7$150bo$150b2o$149bobo2$146b2o$147b2o$139bo6bo$139b2o$138bobo14$128b2o$127bobo$129bo4$120b3o$122bo$121bo3$123b3o$125bo$115b2o7bo$116b2o$115bo5b2o$120bobo$122bo3$109b2o$110b2o$109bo3$105bo$105b2o$104bobo2$91b2o$90bobo$92bo9$90b2o$91b2o$90bo8$82b2o$75b3o3bobo$77bo5bo$76bo2$73b2o$72bobo$74bo2$68b2o$69b2o$68bo2$63b3o$65bo$64bo7b3o$74bo$73bo17$55b2o$56b2o$55bo7$38b3o$40bo$39bo2$43b2o$44b2o$43bo4$28bo$28b2o$27bobo8$11b2o$12b2o$11bo6b3o$20bo$19bo8$11b2o$12b2o$11bo5$12b2o$3o10b2o$2bo9bo$bo6$3b3o$5bo$4bo!","b214$210bo$209b2o$202b2o5bobo$202bobo$202bo8$223bo$222b2o$222bobo$233bo$232b2o$232bobo$240b3o$240bo$241bo7$246b2o$234b2o9b2o$234bobo10bo$234bo2$238b2o$238bobo$238bo2$242b2o$242bobo$242bo9$248b2o$247b2o$249bo3bo$252b2o$252bobo8$268bo$267b2o$267bobo9$284bo$283b2o$283bobo4$283b2o$282b2o$284bo8b2o$293bobo$287b3o3bo$287bo$288bo$284b2o$284bobo$284bo$295b2o$294b2o$296bo4$303b2o$292b2o8b2o$291b2o11bo$293bo3$326b2o$326bobo$326bo2$324bo$323b2o$323bobo5$323bo$322b2o$322bobo7$319b2o$318b2o$320bo2$323b3o$323bo$324bo6$348b2o$337bo10bobo$336b2o10bo$336bobo2$341bo$340b2o$340bobo4$341b3o3b2o$341bo5bobo$342bo4bo$351b3o$351bo$352bo3$351bo$350b2o$350bobo3$353b2o$352b2o$354bo7$375b2o$375bobo$375bo$381bo$380b2o$380bobo6$386b2o$385b2o$387bo!","b375bobo$376b2o$377bo30$345bo$345bobo3bo$345b2o4bobo$351b2o9$324bobo$324b2o$325bo42$285bo$284bo$284b3o41$244bo$242b2o6bo$243b2o3b2o$249b2o8$230bo$228b2o$229b2o3$230bo$230bobo$225bobo2b2o$225b2o$226bo!","b!",-181,-184]
H4 = ["","2o$obo$o!","","",40,40]
A3 = ["b78$27b2o$28b2o$27bo8$7b2o$6bobo$8bo7$2bo$2b2o$bobo5$6b2o$7b2o$6bo6b3o$15bo$14bo9$5bo$5b2o$4bobo5$6bo$6b2o$5bobo!","b82$76b3o$76bo$77bo2$79b2o$79bobo$79bo3$80b2o$80bobo$80bo9$96b3o3b2o$96bo5bobo$97bo4bo8$107b2o$106b2o$108bo2$110bo$109b2o$109bobo!","b!","o5bo$b2obobo$2o3b2o4$10bo$11bo$9b3o14$14bo$15bo3bo$13b3o4bo$18b3o3$11bobo$12b2o2bobo8bo$12bo4b2o6bobo$17bo8b2o!",-59,-55]
A4 = ["b90$51b3o$46b2o5bo$47b2o3bo$46bo7$29b2o$30b2o9b2o$29bo10bobo$42bo2$37b2o$36bobo$38bo3$36bo$30b2o4b2o$31b2o2bobo$26bo3bo$26b2o$25bobo4$27b2o$26bobo$28bo3$24b3o$26bo$25bo7$2b2o$3b2o$2bo!","b90$97b2o$97bobo$97bo6$102bo$101b2o$101bobo3$105b2o$105bobo$105bo8$121b3o$115bo5bo$114b2o6bo$114bobo9$121b3o$121bo$122bo5$120b3o10bo$120bo11b2o$121bo10bobo!","b!","bbo$obo$b2o30$32bo$26bo6b2o$27b2o3b2o$26b2o!",-72,-64]
B1 = ["b59$29b2o$28bobo$30bo5$25bo$25b2o$24bobo4$17b2o$16bobo$18bo2$21b3o$23bo$22bo8$23b2o$24b2o$23bo$13bo$13b2o$12bobo2$24b2o$25b2o$12b2o10bo$b2o8bobo$obo10bo$2bo!","b80$86b3o$86bo$87bo3$87b2o$86b2o$88bo4$100bo$99b2o$99bobo!","b!","bbobo$3b2o$3bo4$19bo$17bobo$18b2o3bo$24bo$22b3o$14bo$12bobo12bo$13b2o10bobo$26b2o!",-57,-44]
B2 = ["b67$25b2o$24bobo$26bo5$17b2o$16bobo$18bo2$13bo7b3o$13b2o8bo$12bobo7bo8$23b2o$24b2o$23bo$13bo$13b2o$12bobo2$24b2o$25b2o$12b2o10bo$b2o8bobo$obo10bo$2bo!","b82$88b3o$88bo$89bo3$89b2o$88b2o$90bo4$102bo$101b2o$101bobo!","","bbobo$3b2o$3bo8$19bo$17bobo$18b2o3$20bobo6bo$21b2o4bobo$21bo6b2o!",-58,-45]
B3 = ["b127$52bo18b3o$52b2o19bo$51bobo18bo$66b3o$56b3o9bo$58bo8bo$57bo4$46b3o23b2o$48bo24b2o$47bo24bo$61b3o$63bo$62bo3$55b2o$54bobo$56bo4$54b2o$55b2o$54bo7$29b2o$28bobo10bo$30bo10b2o$40bobo2$37bo$37b2o$36bobo4$30b2o3b3o$29bobo5bo$31bo4bo$25b3o$27bo$26bo3$27bo$27b2o$26bobo3$24b2o$25b2o$24bo7$2b2o$bobo$3bo!","b131$125b2o$124b2o$126bo13b2o$139b2o$141bo11$154b2o$149b2o2b2o$149bobo3bo$149bo14$166bo$165b2o$165bobo8$182b2o$181b2o$174b3o6bo$174bo$175bo8$182b2o$181b2o$183bo5$181b2o$180b2o10b3o$182bo9bo$193bo!","","obo$b2o$bo30$33bo$27bo3bobo$25bobo4b2o$26b2o9$43bo4bo$44bo4bo5bobo$42b3o2b3o6b2o$56bo13$61bo$62b2o$61b2o!",-105,-94]
B4 = ["b113$68b3o$70bo$69bo4$61b2o$62b2o$61bo3$58bo$58b2o$57bobo12$43b2o$44b2o$43bo3$43b2o$42bobo$44bo5$30b3o$32bo$31bo6$25bo$25b2o$24bobo3$23bo$23b2o$22bobo3$19b2o$20b2o$19bo8$3o$2bo$bo!","b98$125b2o$124b2o$126bo4$133b2o$133bobo$133bo4$125b2o$125bobo6bo$125bo7b2o$133bobo3$132bo$131b2o$131bobo6$134b3o$134bo$135bo4b2o$140bobo$140bo6$139b2o4b2o$138b2o5bobo2b3o$140bo4bo4bo$151bo7$137b2o$137bobo$137bo$170bo$147b3o19b2o$147bo21bobo$148bo$136b2o$136bobo$136bo12bo$148b2o$148bobo8b3o$159bo$152bo7bo$151b2o$151bobo8$187b2o$186b2o$188bo4$183b2o$182b2o$184bo$178bo$177b2o$177bobo8b3o$188bo$189bo!","b182bo$182bo$182b3o$173bo$173bobo$166bo6b2o$166bobo$166b2o9bo$177bobo$177b2o3$180bo$179bo$179b3o10$154bobo$154b2o$155bo2$148bo$147bo$147b3o3$144bo$144bobo$144b2o4$146bobo$146b2o$147bo2$128bobo$128b2o$129bo4$123bo$123bobo$123b2o!","b29$63bobo$64b2o$64bo!",-89,-87]
C1 = ["b48$4b2o$3bobo$5bo10bo$16b2o$15bobo2$12bo$12b2o$11bobo!","b52$61bo$60b2o$60bobo!","","b7bo$2bo3bobo$obo4b2o$b2o!",-37,-25]
C2 = ["b65$32b2o$31bobo$33bo34$13b3o$15bo$14bo2$11bo$11b2o$4b3o3bobo$6bo$5bo!","100$99bo$98b2o$98bobo5$108b2o$107b2o$109bo!","!","bo$2bo$3o10$4bo$2bobo$3b2o$11bo$9bobo$10b2o11$34bo$35bo$33b3o!",-58,-55]
C3 = ["b104$57bo$57b2o$56bobo6$47b3o$49bo$48bo6$31b3o$33bo$32bo4$33b2o$32bobo$34bo4$23bo$23b2o$22bobo24$2o$b2o$o!","b99$117b3o$117bo$118bo$122b2o$121b2o$123bo3$139b2o$138b2o$140bo5$139b2o$138b2o$140bo13$141b3o$141bo$142bo9$154b2o$154bobo$154bo5$148bo$147b2o$147bobo4$157b3o$157bo$158bo4$160b2o$159b2o$161bo5$159b2o$158b2o$160bo!","b156bo$157bobo$157b2o8$144bo3bo$142b2o3bo$143b2o2b3o6$143bo$135bo5b2o$134bo7b2o$134b3o10$118bo$116b2o$117b2o!","b!",-79,-69]
D1 = ["b50$9b2o$10b2o$9bo5b2o$14bobo$16bo11$bo$b2o$obo7$bo$b2o$obo!","b48$48b2o$48bobo$48bo2$43b2o$42b2o$44bo7$49bo$48b2o$48bobo2$60b2o$59b2o$61bo3$56b3o$56bo$57bo!","b68bobo$69b2o$70bo4$59bo$58bo$58b3o5$53bo$52bo$52b3o3$48bobo$48b2o$49bo!","b!",-29,-33]
D2 = ["b118$76bo$76b2o$75bobo2$71bo$71b2o$70bobo12$63bo$63b2o$62bobo5b2o$69bobo$71bo3$42bo$42b2o$41bobo3$63bo$63b2o$62bobo$45b3o$47bo$46bo2$64bo$64b2o$63bobo4$47b2o$27bo20b2o$19b2o6b2o18bo$18bobo5bobo$20bo3$48b2o$49b2o$48bo$30b2o$29bobo$31bo$17bo$17b2o2b3o$16bobo4bo$22bo2$5b2o8bo$4bobo8b2o$6bo7bobo!","b134$138b2o$138bobo2b3o$138bo4bo$144bo3b2o$148bobo$148bo4$147b2o$146b2o$148bo2$150bo$149b2o$149bobo6$158b3o$158bo$159bo3$159b2o$158b2o$160bo5$168b3o$168bo$169bo$173bo$172b2o$172bobo5$181bo$180b2o$180bobo!","b!","bbo4bo$obo2bobo$b2o3b2o11$22bo$23bo$21b3o3$26bo$27bo$25b3o7$38bobo$39b2o$39bo3bobo$44b2o$44bo31$75bobo$76b2o$76bo6$71bo$72bo$70b3o3$66bo$67b2o$66b2o!",-105,-93]
E1 = ["b43$6b2o$7b2o$6bo$10b3o$12bo$11bo$3o$2bo$bo7$3o$2bo$bo!","b31$42bo$41b2o$41bobo3$38b3o$38bo$39bo6$39b2o$38b2o$40bo2$42b2o$42bobo$42bo3$39b2o$38b2o$40bo!","b51bo$51bo$40bo10b3o$39bo$39b3o!","b!",-20,-25]
E2 = ["b238$205b2o$204bobo$206bo2$208bo$208b2o$207bobo7$207b3o$209bo$208bo8$195b2o$194bobo$196bo$202b2o$201bobo$203bo$190bo$190b2o$189bobo$180b2o$179bobo$181bo7$174b2o$173bobo3b2o4b3o$175bo4b2o5bo$179bo6bo5$175b3o$177bo$176bo5$173b2o$172bobo$174bo$168b3o$170bo$169bo6$164b2o$163bobo$165bo7$144b2o$136b2o7b2o$135bobo6bo13b2o$137bo21b2o$127b2o29bo$126bobo$128bo12$114b2o$102b3o4b2o2bobo$104bo5b2o3bo$103bo5bo13b2o5b2o$124b2o5b2o$123bo6bo5$104b2o$105b2o$104bo12$94b3o$96bo9b2o$95bo11b2o$106bo2$102b2o$103b2o$102bo2$98b2o$99b2o$98bo9$92b3o$94bo$88b2o3bo$87bobo$89bo8$73b2o$72bobo$74bo9$57b2o$56bobo$58bo4$57b3o$59bo$47b2o9bo$48b2o3bo$47bo5b2o$52bobo2$56b2o$57b2o$39b3o14bo$41bo$40bo$32bo$32b2o$31bobo11$28b3o$30bo$29bo10$7b2o$6bobo$8bo$11b2o$12b2o$11bo!","b250$259b3o$259bo$256bo3bo$255b2o$255bobo18$281b2o$281bobo$281bo6$289b3o$289bo$290bo2$286b2o$285b2o5b2o$287bo3b2o$293bo3bo$296b2o$296bobo$291b2o$290b2o$292bo5$302b2o$302bobo$302bo5$315b3o$315bo$316bo4$309b2o$308b2o$310bo6$325b2o$325bobo$325bo9$326b2o$326bobo$326bo2$344bo$343b2o$343bobo24$366b2o$365b2o$367bo3$374bo$373b2o$373bobo3$371bo$370b2o$370bobo$378b3o$378bo$373b2o4bo$372b2o$374bo3$384b3o$384bo$385bo3$389b2o$389bobo$389bo2$403b2o$402b2o$404bo9$403b3o$403bo$404bo8$412b2o5bo$411b2o5b2o$413bo4bobo3$417b2o$417bobo$417bo7$431b2o$431bobo$431bo22$451bo$450b2o$450bobo!","b!","bbo$obo6bo$b2o4bobo$8b2o28$32bo$30bobo$31b2o17$55bobo$56b2o$56bo40$98bo$92bo6bo$93bo3b3o$91b3o2$104bobo$105b2o$105bo2$111bo$109bobo$110b2o4bobo$117b2o$117bo6$126bo$127bo$125b3o4$121bo$122b2o$121b2o6$123bobo$124b2o$124bo32$170bobo$171b2o$171bo7$172bo$173bo$171b3o4$183bo$184bo$182b3o9$191bobo$192b2o$192bo3$206bobo$207b2o$207bo4$200bo$201b2o$200b2o!",-240,-224]
E3 = ["b88$64b2o$65b2o$64bo38$20b2o$19bobo$21bo4$14bo3b3o$14b2o4bo$13bobo3bo8$b2o$obo$2bo5bo$8b2o$7bobo!","b85$95bo$94b2o$94bobo3$83b3o$83bo$84bo9b2o$93b2o$95bo9$109bo$108b2o$108bobo10$123bo$122b2o$122bobo6$128bo$127b2o$127bobo5$124b2o$124bobo$124bo2$129b2o$128b2o8b2o$130bo7bobo$138bo2$125b3o$125bo$126bo21b2o$147b2o$140b2o7bo$140bobo$140bo4$140b2o$139b2o$141bo!","b147bo4bo$146b2o3b2o$147b2o3b2o8$141bo$140bo$140b3o3$126bobo$122bo3b2o$121bo5bo$121b3o5$121bo$119b2o$120b2o28$90bo$88b2o$89b2o4bo$94bo$94b3o!","b!",-70,-74]
H1 = ["b93$77b2o$76bobo$78bo7$60b2o$61b2o13b2o4b3o$60bo16b2o5bo$76bo6bo$63b2o$62bobo$64bo2$72b3o$74bo$73bo$64b2o$63bobo$65bo7$67b3o$69bo$68bo$63bo$63b2o$62bobo7$38b2o$39b2o9b2o$38bo10bobo$51bo2$46b2o$45bobo$47bo3$45bo$39b2o4b2o$40b2o2bobo$35bo3bo$35b2o$34bobo4$36b2o$35bobo$37bo3$33b3o$35bo$34bo7$11b2o$12b2o$11bo$6b2o$5bobo$7bo6$3o$2bo$bo!","b103$118b3o$118bo$119bo2$115b2o$114b2o5b2o$116bo3b2o$122bo3bo$125b2o$125bobo$120b2o$119b2o$121bo3$120b3o$120bo$121bo6$138bo$137b2o$137bobo3$132b3o$132bo$133bo4$148b2o$148bobo$148bo8$164b3o$158bo5bo$157b2o6bo$157bobo9$164b3o$164bo$165bo5$163b3o10bo$163bo11b2o$164bo10bobo6$173bo$172b2o$172bobo!","b!","b10bo$9bobo$10b2o30$41bo$35bo6b2o$36b2o3b2o$35b2o9$63bo$61bobo$62b2o19$80bo$81bo$79b3o!",-101,-81]
H2 = ["","b15$4b2o$4bobo$4bo!","","",-3,-8]
G1 = ["b103$71b2o$72b2o$71bo6$72bo$72b2o$71bobo4$71b2o$70bobo$72bo7$51b2o$50bobo$52bo6$51b3o$53bo$52bo5$50b2o$32b2o17b2o$31bobo3bo12bo$33bo3b2o$36bobo15$28b3o$30bo$29bo6$26b2o$12b2o13b2o$13b2o11bo$12bo$3o$2bo$bo3$11b3o$13bo$12bo!","b101$105b2o$104b2o$106bo4$105b3o$105bo$106bo4$127bo$126b2o$126bobo7$124b2o$123b2o$125bo5$125b2o$125bobo$125bo7$148b2o$147b2o$149bo6$144b3o$144bo$145bo6$147b2o$146b2o$148bo20b2o$165bo3bobo$164b2o3bo$164bobo13$186b3o$174bo11bo$173b2o12bo$173bobo4$186bo$185b2o$185bobo!","b!","b!",-94,-80]
H3 = ["b24$b2o$obo$2bo2$4bo$4b2o$3bobo6$3b2o$4b2o$3bo!","","","bbobo$3b2o$3bo!",-23,-20]
I1 = ["b51$28b2o$29b2o$28bo$19b2o$18bobo$20bo2$27bo$27b2o$26bobo17$2o$b2o$o2$5b2o$4bobo$6bo!","b50$64b2o$63b2o$65bo2$48b2o5b2o$47b2o6bobo$49bo5bo2$51b2o$50b2o$52bo2$60b3o$60bo5bo3b3o$61bo3b2o3bo$65bobo3bo11$64b2o$63b2o$65bo!","b69bo$68b2o$69b2o8$67bobo$67b2o$68bo3$68bo$68bobo$68b2o!","",-36,-37]
I2 = ["b48$9b2o$8bobo$10bo5$6b3o$8bo10b2o$7bo10bobo$20bo2$24bo$24b2o$23bobo5$14b2o$13bobo$5b2o8bo$6b2o$5bo4$b2o$2b2o$bo!","b55$55b2o$55bobo$55bo11$80b3o$80bo$81bo2$83b3o$71b2o10bo$71bobo10bo$71bo!","","o$b2o$2o3$15bo$13bobo$14b2o2$11bo$9bobo$10b2o!",-42,-32]
G2 = ["b41$27b3o$29bo$28bo3$27bo$27b2o$26bobo$21b3o$23bo$22bo5$b2o3b2o12b2o$obo2bobo13b2o$2bo4bo12bo17$10b2o$11b2o$10bo!","b43$40b3o$40bo$41bo8$48b2o$47b2o$49bo6$38b3o$38bo$39bo3$64b2o$63b2o$65bo3$63b3o$63bo$64bo!","b!","b!",-32,-32]
H5 = ["b69$39bo$39b2o$38bobo9b3o$52bo$51bo2$46b3o$48bo$47bo3$40bo4b2o$40b2o4b2o$39bobo3bo$35b2o$36b2o$35bo4$36b3o$38bo$37bo2$34b2o$33bobo$35bo7$12bo$12b2o$11bobo2$6b3o$8bo$7bo5$b2o$obo$2bo!","b73$83b3o$83bo$84bo7$100b2o$100bobo$93b2o5bo$92b2o$94bo8$100b2o$100bobo$100bo5$99b2o$99bobo9b2o$99bo10b2o$112bo6$108b2o$107b2o$109bo!","b!","b10bo$12bo$10b3o31$41bobo$35bobo4b2o$36b2o4bo$36bo!",-66,-51]
I3 = ["b99$29b2o$28bobo$30bo14$16bo$16b2o$15bobo19$2o$b2o$o2$3b2o$2bobo$4bo!","b103$73bo$72b2o5b3o$72bobo4bo$80bo4$117b2o$90b2o24b2o$90bobo11b2o12bo$90bo13bobo$104bo$115b2o$115bobo$94b3o18bo$94bo$95bo17$134b2o$134bobo$134bo!","b117bo$117bo$117b3o13$112bo$112bobo$112b2o16$96bo13bobo$96bobo11b2o$96b2o13bo19$81bo$79b2o$80b2o!","b!",-59,-63]
J1 = ["b8$b2o$obo$2bo!","b6$9b2o$8b2o$10bo!","","",-4,0]
J2 = ["","b46$37bo$36b2o$36bobo4$49b2o$48b2o$50bo9$58bo$57b2o$57bobo!","b58bo$59bobo$59b2o3$57bo$56bo$56b3o12$58bo$57bo$57b3o3$40bo$39bo$39b3o2$37bo$35b2o$36b2o!","",-26,-44]
J3 = ["","b50$42b3o$42bo$43bo15$50bo$49b2o$49bobo!","b6$48bo$46b2o$47b2o!","o$b2o$2o!",-8,-35]
J4 = ["b6$b2o$obo$2bo!","b7$10b2o$9b2o$11bo!","","",-5,0]

#final step
F1 = ["","","b$71bobo$71b2o$61bobo8bo$61b2o$62bo14bo$77bobo$69bo7b2o$69bobo$69b2o$75bobo$75b2o$76bo$70bo$69bo$69b3o4$79bo$78bo$78b3o!","b18bo$7bobo7bobo$8b2o8b2o$8bo2$3bo$bobo$2b2o7bo5bo4bo$9bobo3bobo2bobo$10b2o4b2o3b2o$3bobo$4b2o$4bo$10bo$11bo$9b3o4$bo$2bo$3o!",-40,-40]
F2 = ["b34$43b3o$45bo$44bo7$37b3o$39bo$38bo3$35bo$35b2o$34bobo15$b2o$obo$2bo!","b36$60b2o$60bobo$60bo5$74b3o$74bo$75bo20$108b2o$108bobo$108bo!","","",-55,-10]
F3 = ["","b39$58b3o$58bo$59bo11$75b3o$75bo$76bo$55b2o$54b2o$56bo2$45bo$44b2o$44bobo6$57b2o$56b2o$58bo!","b56bo$55b2o$56b2o9$69bo$67b2o$68b2o$64bo$62b2o$63b2o!","",-28,-33]
F4 = ["","","b33bo$34bobo$34b2o2$30bobo$30b2o$31bo4$33bo$31b2o$32b2o!","",0,-33]
F5 = ["","b23$41bo$40b2o$40bobo17$71b2o$71bobo$71bo!","","",-21,-3]

def place_component(comp,x,y,delay,flip):
    phase = -delay%4
    n = (delay + phase) // 4
    for i in range(4):
        if flip == 0:
            g.putcells(g.evolve(g.parse(comp[i]), phase), x+comp[4]+n*t[i][0], y+comp[5]+n*t[i][1],1,0,0,1)
        else:
            g.putcells(g.evolve(g.parse(comp[i+pow(-1,i)]), phase), x-comp[4]+n*t[i][0], y+comp[5]+n*t[i][1],-1,0,0,1)
            
def place_x(x,y,delay,times,flip):
    for i in range(times):
        place_component(X,x+3*i*(flip*2 - 1),y,delay+i*100,flip)
        
def place_y(x,y,delay,times,flip):
    for i in range(times):
        place_component(Y,x-3*i*(flip*2 - 1),y,delay+i*150,flip)
        
def section_1(depth,variant):
    global d
    place_component(A1,-12*depth,12*(depth-1),d,0)
    d += 500
    place_x(-12*depth,12*(depth-1),d,6+(depth-1)*8,1)
    d += 600+(depth-1)*800
    place_component(A2,12*depth,12*(depth-1),d,0)
    d += 900
    place_component(H4,12*depth,12*(depth-1),d,0)
    d += 100
    place_x(3+12*depth,2+12*(depth-1),d,8+(depth-1)*8,0)
    d += 800+(depth-1)*800
    place_component(A3,-12*depth,4+12*(depth-1),d,0)
    d += 200
    place_component(B1,-3-12*depth,4+12*(depth-1),d,0)
    d += 200
    place_component(B2,3+12*depth,4+12*(depth-1),d,1)
    d += 200
    place_component(B3,-3-12*depth,4+12*(depth-1),d,0)
    d += 400
    place_x(-6-12*depth,4+12*(depth-1),d,10+(depth-1)*8,1)
    d += 1000+(depth-1)*800
    place_component(B4,3+12*depth,6+12*(depth-1),d,0)
    d += 400
    place_component(C1,-6-12*depth,6+12*(depth-1),d,0)
    d += 100
    place_x(9+12*depth,6+12*(depth-1),d,12+(depth-1)*8,0)
    d += 1200+(depth-1)*800
    place_component(C2,-6-12*depth,8+12*(depth-1),d,0)
    d += 200
    place_component(C3,6+12*depth,8+12*(depth-1),d,0)
    d += 300
    place_component(C3,-6-12*depth,8+12*(depth-1),d,1)
    d += 500
    place_component(D1,9+12*depth,8+12*(depth-1),d,0)
    d += 200
    if variant:
        place_component(D1,-9-12*depth,8+12*(depth-1),d,1)
        d += 200
        place_x(12+12*depth,8+12*(depth-1),d,6+(depth-1)*4,0)
        d += 700+(depth-1)*400
        place_x(-12-12*depth,8+12*(depth-1),d,6+(depth-1)*4,1)
        d += 600+(depth-1)*400
    else:
        place_x(12+12*depth,8+12*(depth-1),d,13+(depth-1)*8,0)
        d += 1300+(depth-1)*800
        
def section_2(depth):
    global d
    place_component(D2,-9-12*depth,8+12*(depth-1),d,0)
    d += 300
    place_component(E1,12+12*depth,10+12*(depth-1),d,0)
    d += 200
    place_x(15+12*depth,10+12*(depth-1),d,15+(depth-1)*8,0)
    d += 1500+(depth-1)*800
    place_component(E2,-9-12*depth,12+12*(depth-1),d,0)
    d += 900
    place_component(E3,15+12*depth,12+12*(depth-1),d,0)
    d += 300
    place_component(E3,-15-12*depth,12+12*(depth-1),d,1)
    d += 300
    
def section_3(depth):
    global d
    place_component(A4,-12-12*depth,12*depth,d,0)
    d += 400
    place_x(-12-12*depth,12*depth,d,6+8*depth,1)
    d += 600+800*depth
    place_component(A2,12+12*depth,12*depth,d,0)
    d += 800
    place_component(H1,-12-12*depth,2+12*depth,d,0)
    d += 700
    place_x(15+12*depth,2+12*depth,d,3+4*depth,0)
    d += 300+400*depth
    place_x(-15-12*depth,2+12*depth,d,3+4*depth,1)
    d += 300+400*depth
    place_component(H2,-15-12*depth,4+12*depth,d,0)
    d += 100
    place_component(H2,15+12*depth,4+12*depth,d,1)
    d += 100
    place_y(-15-12*depth,4+12*depth,d,3+4*depth,0)
    d += 600+800*depth
    place_y(15+12*depth,4+12*depth,d,3+4*depth,1)
    d += 600+800*depth
    place_component(G1,0,2+12*depth,d,0)
    d += 300
    place_component(H3,-17-12*depth,4+12*depth,d,0)
    place_component(H3,17+12*depth,4+12*depth,d,1)
    d += 100
    place_component(D1,-17-12*depth,4+12*depth,d,1)
    d += 200
    place_component(D1,17+12*depth,4+12*depth,d,0)
    d += 200
    place_x(-20-12*depth,4+12*depth,d,2+4*depth,1)
    d += 200+400*depth
    place_x(20+12*depth,4+12*depth,d,2+4*depth,0)
    d += 200+400*depth

def section_4(depth,width,variant):
    global d
    global Goffset
    place_component(I1,16+4*depth,2+4*depth,d,0)
    d += 200
    place_component(I1,-16-4*depth,2+4*depth,d,1)
    d += 200
    place_y(10+4*depth,2+4*depth,d,width,1)
    d += 150*width
    place_y(-10-4*depth,2+4*depth,d,width,0)
    d += 150*width
    if variant:
        place_component(G1,0,4*depth,d,0)
        d += 400
        Goffset = 11
    else:
        place_component(G2,Goffset,2+4*depth,d,0)
        d += 400
        place_component(G2,-Goffset,2+4*depth,d,1)
        d += 400
        Goffset += 8
    place_component(H5,-15-4*depth,4+4*depth,d,0)
    d += 200
    place_component(H5,15+4*depth,4+4*depth,d,1)
    d += 300
    place_x(-15-4*depth,2+4*depth,d,width-1,1)
    d += (width-1)*100+16
    place_x(15+4*depth,2+4*depth,d,width-1,0)
    d += (width-1)*100+16
    place_component(H2,-15-4*depth,4+4*depth,d,0)
    d += 100
    place_component(H2,15+4*depth,4+4*depth,d,1)
    d += 100
    place_y(15+4*depth,4+4*depth,d,width-1,1)
    d += 150*(width-1)
    place_y(-15-4*depth,4+4*depth,d,width-1,0)
    d += 150*(width-1)
    place_component(G2,Goffset,4+4*depth,d,0)
    d += 400
    place_component(G2,-Goffset,4+4*depth,d,1)
    d += 400
    Goffset += 8
    place_component(H3,-17-4*depth,4+4*depth,d,0)
    d += 100
    place_component(H3,17+4*depth,4+4*depth,d,1)
    d += 100
    place_component(D1,-17-4*depth,4+4*depth,d,1)
    d += 200
    place_component(D1,17+4*depth,4+4*depth,d,0)
    d += 200
    place_x(-20-4*depth,4+4*depth,d,width-2,1)
    d += (width-2)*100
    place_x(20+4*depth,4+4*depth,d,width-2,0)
    d += (width-2)*100
    
def section_5(depth):
    global d
    place_component(I1,20+8*depth,6+8*depth,d,0)
    d += 200
    place_component(I1,-20-8*depth,6+8*depth,d,1)
    d += 200
    place_component(G2,11+8*depth,6+8*depth,d,0)
    d += 400
    place_component(G2,-11-8*depth,6+8*depth,d,1)
    d += 400
    place_component(I2,19+8*depth,8+8*depth,d,1)
    d += 200
    place_component(I2,-19-8*depth,8+8*depth,d,0)
    d += 200
    d += depth*8
    for i in range(depth+2):
        place_component(J1,3+8*i,7+6*depth+2*i,d,0)
        d += 50
        place_component(J1,-3-8*i,+7+6*depth+2*i,d,1)
        d += 50
    d += depth*8
    place_component(J2,15,-11,d,0)
    d += 100
    place_component(J2,-15,-11,d,1)
    d += 100
    for i in range(2*(depth+1)):
        place_component(J3,14+4*i,-4+4*i,d,0)
        d += 50
        place_component(J3,-14-4*i,-4+4*i,d,1)
        d += 50
    d += 50+depth*40
    for i in range(depth+1):
        place_component(J3,18+8*i,-7+8*i,d,0)
        d += 60
        place_component(J3,-18-8*i,-7+8*i,d,1)
        d += 60
    place_component(I3,22+8*depth,11+8*depth,d,0)
    d += 350
    place_component(I3,-22-8*depth,11+8*depth,d,1)
    d += 350
    d += depth*8
    for i in range(depth+1):
        place_component(J4,12+8*i,14+6*depth+2*i,d,0)
        d += 50
        place_component(J4,-12-8*i,14+6*depth+2*i,d,1)
        d += 50
    d += depth*8
    #final step
    place_component(F1,0,-14,d,0)
    place_component(F2,0,2+6*depth,d,0)
    place_component(F3,22+8*depth,11+8*depth,d,0)
    place_component(F3,-22-8*depth,11+8*depth,d,1)
    for i in range(depth+1):
        place_component(F4,14+8*i,-4+8*i,d,0)
        place_component(F4,-14-8*i,-4+8*i,d,1)
        place_component(F5,11+8*i,20+6*depth+2*i,d,0)
        place_component(F5,-11-8*i,20+6*depth+2*i,d,1)
        
def show_progress(c,n):
    g.show("Roughly " + str(100*c//n) + "% complete")
        
def synthesise_greyship(n):
    count = 0
    for i in range((n-2)//2):
        show_progress(count,n)
        section_1(i+1,False)
        section_2(i+1)
        count += 1
    show_progress(count,n)
    if n%2 == 1:
        section_1(n//2,True)
    else:
        section_3((n-1)//2)
    count += 1
    for i in range((n-1)//2):
        show_progress(count,n)
        if n%2 == 1:
            if i == 0:
                section_4((n//2)*3-1+i,(n-1)*2-4*i,True)
            else:
                section_4((n//2)*3-1+i,(n-1)*2-4*i,False)
        else:
            section_4((n//2)*3-2+i,2*n-4-4*i,False)
        count += 1
    show_progress(count,n)
    section_5(n-2)
    g.show("100% complete")

answer = g.getstring("Please enter a positive integer greater than 2.\n\nThe larger the number you input, the larger the greyship this script will construct a synthesis for.","4",'Greyship "Size"')
if answer.isdigit() == False or int(answer) == 0:
    g.exit("Please enter a positive integer greater than 2")
elif int(answer) == 1:
    webbrowser.open_new("https://catagolue.hatsya.com/object/xq4_yao211vxv112ozyc8obxbo8zy9gokmlllllllmkogzo88gy0g8cabaaaaaaaaaaaaaaabac8gy0g88ozfgw2oe555d5d1d11131313111d1d5d555eo2wgfzx267yp762/b3s23")
elif int(answer) == 2:
    webbrowser.open_new("https://catagolue.hatsya.com/object/xq4_0ggos3woyzow3soggzonvf0126qaaabab8b888c8c0cxgxc0c8c888b8babaaaq6210fvnoz01y431d5lllllllllllllllllllllllllllll5d13y41zya1062qaaaaaaaaaaaaaaaaaaaq2601zyg31d5lllllllll5d13zykhq2a2a2qhzyjuvfgxgfvuzyk131x131/b3s23")
else:
    g.new("greyship synthesis")
    g.setalgo("HashLife")
    g.setstep(3)
    g.putcells(g.parse("3059bo4bo$3059bobo2bobo$3059b2o3b2o8$3054bo$3052b2o$3053b2o2$3039bo$3038bo$3035bo2b3o$3033b2o$3034b2o5$3032bo$3032bobo$3032b2o26$8bo4bo$9b2o3b2o$8b2o3b2o2986bo$3001bobo$3001b2o5bo$3006b2o$3007b2o4$20bo$21bo$19b3o3$33bobo$34b2o3bo$34bo5bo$38b3o5$40bo$41b2o$40b2o28$71bo$72b2o$66bo4b2o2823bobo$67bo2828b2o$65b3o2829bo8$89bo$90b2o$89b2o19$95bo$93bobo6bo$94b2o4bobo$101b2o28$125bo$123bobo$124b2o6$139bo$140b2o55bo$139b2o57bo$196b3o3$143bobo$144b2o$144bo4$2860bo$2860bobo$2860b2o41$193bo$187bo6bo$188bo3b3o$186b3o2$199bobo$200b2o$200bo2$206bo$204bobo$205b2o4bobo$212b2o$212bo6$221bo$222bo$220b3o4$216bo$217b2o$216b2o6$218bobo$219b2o$219bo34$269bo$267bobo$268b2o8$268bobo$269b2o$269bo5$279bobo$280b2o$271bo8bo$272b2o$271b2o9$292bobo$293b2o$293bo3$307bobo$308b2o$308bo4$301bo$302b2o$301b2o181$2534bo$2534bobo$2522bo11b2o$2522bobo$2522b2o2$2509bo$2509bobo$2509b2o6$2506bo$2500bo4bo$2500bobo2b3o$2500b2o3$2509bobo$2501bobo5b2o$2501b2o7bo$2502bo16$2487bo$2485b2o$2486b2o3$2483bo$2481b2o$2482b2o6$2469bo$2468bo$2464bo3b3o$2463bo$2463b3o85$2368bo9bo$2367bo10bobo$2367b3o8b2o7$2383bobo$2383b2o$2384bo2$2388bo$2387bo$2387b3o54$723bo$704bo16bobo$702bobo17b2o$703b2o10$715bobo$716b2o$716bo11$730bo$731b2o$730b2o$738bo$736bobo$737b2o7$746bo$744bobo$745b2o6$760bobo$761b2o$761bo8$760bo$758bobo$759b2o8$769bo3bo$770bo3b2o$768b3o2b2o8$779bo$777bobo$778b2o2$781bo$782bo$780b3o4bobo$788b2o$788bo5$2217bo$802bo1413bo$803b2o1411b3o$802b2o6$809bo$807bobo$808b2o9$811bo$812bo$810b3o$818bo$819bo$817b3o56$886bo$887bo$885b3o30$2116bobo$2116b2o$2117bo8$2102bo5bo$2102bobob2o$2102b2o3b2o8$2097bobo$2097b2o$2098bo2$2096bo$2088bo5b2o$2087bo7b2o$2087b3o5$2075bo$2075bobo$2075b2o34$980bo$974bo6b2o$975b2o3b2o$974b2o4$2034bobo$2034b2o$2035bo4$2030bo$2028b2o$2029b2o4$2031bobo$2031b2o$2032bo9$2006bo$2006bobo$2006b2o3$1063bo935bobo$1061bobo935b2o$1062b2o936bo2$1997bo$1995b2o$1996b2o4$1998bo$1998bobo$1998b2o30$1071bo$1072b2o$1071b2o7$1074bobo3bo$1075b2o4b2o$1075bo4b2o3$1072bo$1070bobo7bo$1071b2o5bobo$1079b2o9$1083bo$1084b2o$1083b2o28$1111bobo$1105bobo4b2o$1106b2o4bo$1106bo8$1130bo$1131bo$1129b3o751bo$1883bobo$1883b2o4$1879bo$1132bobo742b2o$1133b2o743b2o$1133bo18$1869bo$1867b2o$1868b2o18$1174bo$1175bo$1173b3o5$1188bobo$1189b2o$1189bo644bo$1195bo637bo$1196bo636b3o$1183bobo8b3o$1184b2o$1184bo647bo$1830b2o$1831b2o$1197bo$1198b2o621bobo$1197b2o6bo615b2o$1206b2o614bo$1205b2o2$1202bo$1200bobo$1201b2o607bo$1809bo$1809b3o$1821bo$1815bo5bobo$1813b2o6b2o$1814b2o6$1212bo$1213b2o$1212b2o4$1803bo$1802bo$1802b3o3$1229bo563bo$1230b2o559b2o$1229b2o561b2o45$1747bo$1745b2o$1746b2o8$1736bo$1734b2o$1735b2o8$1719bobo$1719b2o$1720bo5$1717bo$1715b2o$1716b2o4$1309bo$1307bobo$1308b2o400bo$1315bobo390b2o$1316b2o391b2o$1316bo2$1705bo$1317bobo384bo$1318b2o384b3o$1318bo18$1690bo$1690bobo$1690b2o5$1642bo3bobo$1641bo4b2o$1641b3o3bo$1364bo$1349bobo13bo$1350b2o11b3o14bo273bobo$1350bo30b2o271b2o$1380b2o273bo$1357bo26bobo$1355bobo27b2o$1356b2o27bo2$1628bo$1627bo32bobo$1627b3o30b2o$1661bo$1371bobo$1372b2o$1372bo257bo$1630bobo$1370bo259b2o$1371bo$1369b3o$1403bobo$1404b2o$1404bo$1639bo9bo$1639bobo7bobo$1401bo237b2o8b2o$1402b2o$1401b2o$1641bobo$1641b2o$1642bo6$1394bo$1392bobo$1393b2o3$1623bobo$1623b2o$1624bo31$1427bobo163bobo$1428b2o163b2o$1428bo165bo$1442bobo133bobo$1443b2o133b2o$1427bo15bo135bo15bo$1425bobo167bobo$1426b2o167b2o2$1454bobo$1455b2o$1455bo2$1457bobo$1458b2o$1458bo6$1433bo155bo$1434b2o151b2o$1433b2o153b2o94$1454b3o$1456bo$1455bo5$1429bo163bo$1429b2o161b2o$1428bobo161bobo2$1437b3o143b3o$1439bo143bo$1438bo145bo11$1574bo$1573b2o$1573bobo2$1449bo$1429b3o17b2o140b3o$1431bo16bobo140bo$1430bo161bo5$1425b2o169b2o$1426b2o167b2o$1425bo171bo8$1424b3o169b3o$1426bo169bo$1425bo171bo$1429bo$1429b2o165bo$1428bobo164b2o$1595bobo5$1595b2o$1594b2o$1596bo3$1617bo$1616b2o$1616bobo$1416b2o204b2o$1417b2o202b2o$1400b2o14bo206bo$1399bobo$1401bo$1394b3o212b3o$1396bo212bo$1395bo214bo4$1637b3o$1637bo$1638bo2$1398b3o$1400bo$1399bo4$1373b2o$1374b2o$1373bo2$1633b2o$1632b2o$1634bo3$1378b3o264b2o$1380bo263b2o$1372b3o4bo266bo$1374bo274b2o$1373bo266b2o6b2o$1639b2o9bo$1641bo4$1375bo$1375b2o$1374bobo3$1651b2o$1651bobo$1651bo16$1673b2o$1673bobo$1673bo$1677b2o$1677bobo$1677bo9$1681b3o$1681bo$1326b2o354bo$1327b2o$1326bo8bo$1335b2o$1334bobo$1317b2o380b3o$1316bobo380bo$1318bo381bo$1331b3o$1333bo$1332bo370b3o$1703bo$1704bo3b2o$1708bobo$1708bo$1718b2o$1718bobo$1718bo$1319b2o$1320b2o$1319bo4$1320b2o395b3o$1315b2o4b2o394bo$1314bobo3bo397bo$1316bo3$1312b2o408b2o$1313b2o407bobo$1312bo409bo5$1733b3o$1733bo6b3o$1734bo5bo$1301bo439bo$1301b2o$1300bobo3$1734b3o$1734bo$1735bo$1290bo$1290b2o$1289bobo7$1748b2o$1748bobo$1748bo$1268bo$1268b2o465b3o$1267bobo465bo$1736bo12bo$1748b2o$1748bobo$1262b3o496bo$1264bo495b2o$1263bo496bobo3$1274b2o$1275b2o$1274bo2$1271b2o$1272b2o$1271bo5$1761bo$1237b2o521b2o$1238b2o520bobo$1237bo3$1242b2o$1243b2o$1242bo2$1246bo$1239b2o5b2o534bo$1238bobo4bobo533b2o$1240bo9b2o529bobo$1249bobo$1227bo23bo543bo$1227b2o6b2o4bo552b2o$1226bobo7b2o3b2o551bobo$1235bo4bobo$1783b2o$1783bobo$1234b2o547bo$1233bobo552b2o$1235bo552bobo$1788bo$1226b2o567b2o8b3o$1225bobo556b2o9bobo2b2o3bo$1227bo556bobo8bo4bobo3bo$1784bo15bo3$1209b2o$1210b2o3bo$1209bo5b2o$1214bobo595b2o$1812bobo$1812bo2$1820b2o$1820bobo$1203bo616bo$1203b2o627b3o$1202bobo627bo$1833bo$1194b2o$1195b2o$1194bo3$1192b3o$1188bo5bo$1188b2o3bo$1187bobo644b3o$1834bo$1192b2o641bo$1193b2o$1192bo646b2o$1838b2o$1818b2o20bo$1817b2o$1819bo3$1818b2o$1194b2o622bobo$1193bobo622bo$1195bo2$1183b3o$1185bo$1184bo645b3o$1195b2o633bo$1194bobo634bo$1183bo12bo$1172bo10b2o664b2o$1172b2o8bobo664bobo$1171bobo675bo2$1183b2o$1182bobo$1184bo3$1183bo$1183b2o663bo$1182bobo662b2o30b3o$1847bobo29bo$1880bo$1858b2o$1857b2o$1170b2o687bo$1171b2o674bo40b2o$1170bo675b2o39b2o$1846bobo40bo$1858b3o$1858bo10b3o$1859bo9bo$1870bo9b2o$1879b2o7b2o$1164bo716bo6bobo$1164b2o722bo$1163bobo2$1886b2o$1886bobo$1128b2o756bo$1127bobo13b2o11b3o$1129bo12bobo13bo$1144bo12bo$1138b2o$1137bobo720bo$1139bo719b2o$1859bobo13bo$1874b2o$1874bobo2$1144bo$1144b2o$1143bobo$1133b2o$1132bobo$1134bo4$1126b3o760bo$1128bo759b2o$1127bo755b3o2bobo$1883bo$1884bo$1126bo$1109bo16b2o$1109b2o14bobo$1108bobo9b3o$1122bo$1121bo769b3o$1891bo$1116b3o773bo$1118bo$1117bo2$1909b2o$1110bo4b2o792bobo$1110b2o4b2o791bo$1109bobo3bo2$1901b2o$1900b2o$1108b3o791bo$1110bo$1109bo2$1107bo$1107b2o797bo$1106bobo796b2o$1905bobo3$1079b3o$1081bo$1072b2o6bo824bo$1071bobo830b2o10b2o$1073bo10b3o817bobo9bobo$1086bo829bo$1085bo$1057b2o$1058b2o$1057bo30b2o3b3o$1069bo17bobo5bo$1069b2o18bo4bo841b2o$1068bobo864b2o$1928b3o6bo$1928bo$1929bo2$1085b3o$1087bo$1086bo2$1083b2o$1082bobo850b2o$1084bo850bobo$1935bo5$1934b2o$1934bobo$1069bo4b2o858bo$1069b2o4b2o$1068bobo3bo886b2o$1961bobo$1954b2o5bo$1953b2o$1955bo2$1066b2o$1067b2o$1066bo2$1064bo$1064b2o895bo$1063bobo894b2o$1960bobo5$1960bo$1054b3o902b2o32bo$1056bo902bobo30b2o$1055bo936bobo2$1050bo$1050b2o$1049bobo2$1990b3o4b2o4bo$1990bo5b2o4b2o$1991bo6bo3bobo2$1041b3o$1043bo$1042bo3$1041b2o$1042b2o945b2o$1041bo946b2o$1990bo$2000bo$1999b2o$1029bo969bobo$1029b2o$1028bobo957b2o$1987b2o$1989bo10b2o$2000bobo9bo$2000bo10b2o$2011bobo$2003b2o$1023b2o978bobo$1022bobo978bo$1024bo3$1021b2o$1020bobo$1022bo2$2038b3o$1017b3o1018bo$1019bo1019bo$1018bo3$2034b3o$2034bo$2035bo$2029b2o$999bo1029bobo9bo$977b2o20b2o1028bo10b2o$978b2o18bobo1039bobo$977bo11b2o$988bobo$990bo1032b2o$2023bobo$985b2o1036bo$984bobo$986bo$2033b2o$2033bobo2b3o$986bo1046bo4bo$986b2o1051bo$985bobo5b2o$992bobo$994bo2$2041b2o$2041bobo$2041bo$989b2o1061b3o$990b2o1060bo$989bo1063bo12$972b2o$973b2o$972bo$2092b2o$2091b2o$970b3o1120bo$972bo$971bo$2084bo$2083b2o$2083bobo6b2o$2091b2o$2093bo4$954b3o$956bo$955bo13$2101b2o$2100b2o$2102bo2$939b3o$941bo$940bo5$2114bo$2113b2o$2113bobo6$2106b3o$2106bo$2107bo3$884b2o1231b2o$883bobo1230b2o$885bo1232bo3$917b2o$916bobo1200b2o$918bo1200bobo$2119bo5$2118b2o$2118bobo$2118bo$2126b2o$2126bobo2b3o$887bo1238bo4bo$887b2o1243bo$886bobo5b2o$893bobo$895bo2$2134b2o$2134bobo$2134bo3$2136b3o$887b3o1246bo$889bo1247bo$888bo5$888b3o$890bo1255bo$889bo1255b2o4b2o$2145bobo2b2o$861b3o1288bo$863bo5bo$862bo6b2o$868bobo2$2154bo$2153b2o$2153bobo3$2156b2o$862b2o1291b2o$863b2o1292bo$862bo5$863b2o$864b2o$863bo1300b3o3b2o$2164bo5bobo$836b2o1327bo4bo$837b2o$836bo6b3o$845bo$844bo2$2172b3o$2172bo$2173bo2$2175b2o$837b2o1336bobo35b3o$836bobo1336bo37bo$838bo1375bo2$2216b2o$2216bobo$821b2o1362b2o29bo$820bobo15b2o1344b2o$822bo14bobo1346bo$839bo2$818b2o$812b2o5b2o1374bo$811bobo4bo1375b2o$813bo1380bobo$801b3o$803bo$802bo3$783b3o$785bo1411bo$784bo1411b2o$2196bobo2$792b2o$791bobo$783b3o7bo$785bo$784bo3$2213bo$2212b2o$2212bobo9$764bo$764b2o$763bobo3$774b3o$776bo$775bo$2228bo$2227b2o$2227bobo2$754b2o$755b2o$754bo2$762b2o$761bobo$763bo4$747b3o$749bo19bo$748bo20b2o$768bobo4$758b3o$760bo$759bo2$732b2o$733b2o1515b2o$732bo23b2o1491b2o$757b2o1492bo$737bo18bo$737b2o$736bobo2$742b2o$720b3o20b2o12b2o1506b2o$722bo19bo15b2o1504b2o$721bo24b3o8bo1508bo$748bo$747bo2$732b2o1534bo$733b2o1532b2o$732bo1534bobo3$735b3o$737bo$736bo5$712b2o1561b2o$713b2o1559b2o$712bo1563bo15$2287b2o$2287bobo$2287bo4$702bo4b2o$702b2o4b2o$701bobo3bo1602b2o$2310bobo$2303b2o5bo$2302b2o$2304bo2$699b2o$700b2o$699bo2$697bo$697b2o1611bo$696bobo1610b2o$2309bobo5$2309bo$2308b2o$688b2o1618bobo$682b3o2bobo$684bo4bo1646bo$683bo1651b2o$2328b2o5bobo$2328bobo38b2o$2328bo40bobo$2369bo$680b2o$679bobo$681bo3$677b3o$679bo1654b3o$678bo1655bo$2335bo5$2333b3o$669bo1663bo$663b2o4b2o1663bo$664b2o2bobo$663bo1696b3o$2354bo5bo$2353b2o6bo$2353bobo22b2o$2378bobo$2378bo2$2383b2o$658b3o1722bobo$660bo1722bo$659bo2$656b2o$655bobo1704b2o$657bo1704bobo$2362bo5$2361b2o$2361bobo$642bo4b2o1712bo$642b2o4b2o$641bobo3bo1740b2o$2388bobo$2381b2o5bo$2380b2o$2382bo4$637b2o$636bobo$638bo3$634b3o$636bo1752b3o$635bo1753bo$2390bo5$2388b3o$626bo1761bo$620b2o4b2o1761bo$621b2o2bobo$620bo1794b3o$2409bo5bo$2408b2o6bo$2408bobo5$615b3o$617bo$616bo2$613b2o$612bobo1802b2o$614bo1802bobo$2417bo5$2416b2o$2416bobo$599bo4b2o1810bo$599b2o4b2o$598bobo3bo1838b2o$2443bobo$2436b2o5bo$2435b2o$2437bo4$594b2o$593bobo1869b3o$595bo1869bo$2466bo2$591b3o$593bo1850b3o$592bo1851bo$2445bo16b2o$2461b2o$2463bo2$582b2o$583b2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    synthesise_greyship(int(answer))
The script constructs a somewhat compressed recipe for the greyship with "size" matching the input number. It's possible to improve the compression slightly by reducing some of the numbers in the lines that start with "d +=", but I don't think that's particularly important. Here's what the script outputs when given the input of 3 (unfortunately it's too big to run in LifeViewer).

EDIT by dvgrn: Actually it fits easily -- you just need to add [[ MAXGRIDSIZE 14 ]]. Please pardon the edits:

Code: Select all

x = 12723, y = 12688, rule = B3/S23
58bo$47bo11bo12615bo$48b2o7b3o12613b2o$47b2o12616bo8b2o$12663b2o$42bo
12621b2o14bo$43bo12635bo$41b3o6bo5bo4bo12610bo6b3o$51bo5bo4bo12608bo$
49b3o3b3o2b3o12608b3o$43bo12635bo$44b2o12631b2o$43b2o12633b2o2$50bo
12621bo$48bobo12621bobo$49b2o12621b2o$31bo12659bo$32bo12657bo$30b3o
12657b3o$41bo12639bo$34bo4bobo12639bobo4bo$35b2o3b2o12639b2o3b2o$34b2o
12651b2o2$23bo12675bo$24bo12673bo$22b3o12673b3o$32bobo12653bobo$26bo6b
2o12653b2o6bo$27b2o4bo12655bo4b2o$26b2o12667b2o5$24bobo12669bobo$25b2o
12669b2o$25bo12671bo3$20bobo12677bobo$21b2o12677b2o$21bo12679bo9$8bobo
12701bobo$9b2o12701b2o$9bo12703bo$13bobo12691bobo$14b2o12691b2o$14bo
12693bo95$132bo$133bo$131b3o13$138bo$136bobo$137b2o16$138bobo13bo$139b
2o11bobo$139bo13b2o19$169bo$170b2o$169b2o32$12502bo$12502bobo$12502b2o
12$12497bo$12496bo$12496b3o9$12379bobo$12379b2o$12380bo4$257bobo$258b
2o12221bo14bo$258bo12221bo13b2o$12480b3o12b2o6$356bobo$357b2o$357bo4$
12448bobo$12357bobo88b2o$12357b2o90bo$12358bo4$295bobo$296b2o12166bobo
$296bo12167b2o$12465bo6$378bobo$379b2o$379bo4$12410bobo$12410b2o$
12411bo42$12299bobo$12299b2o$12300bo4$337bobo$338b2o$338bo4$434bo$435b
2o$434b2o4$12372bo$12370b2o$12371b2o$12278bobo$12278b2o$12279bo4$366bo
bo$367b2o$367bo4$455bo$456b2o$455b2o4$12343bo$12341b2o$12342b2o$12257b
obo$12257b2o$12258bo4$395bobo$396b2o$396bo4$476bo$477b2o$476b2o4$
12314bo$12312b2o$12313b2o$12236bobo$12236b2o$12237bo4$424bobo$425b2o$
425bo4$497bo$498b2o$497b2o4$12285bo$12283b2o$12284b2o$468bo$466bobo$
467b2o3$470bo$471bo$469b3o12$469bo$470bo$468b3o3$487bo$488bo11740bo$
486b3o11740bobo$12229b2o$490bo$491b2o$490b2o11735bo$12226bo$12226b3o
12$12228bo$12227bo$12227b3o3$12210bo$12209bo$12209b3o2$12207bo$12205b
2o$12206b2o138$601bo$602b2o$601b2o3$616bo$614bobo$615b2o2$612bo$610bob
o$611b2o39$12071bo$12069b2o$12070b2o3$12056bo$12056bobo$12056b2o2$
12060bo$12060bobo$12060b2o232$908bo$909b2o$908b2o8$909bobo$910b2o$910b
o3$910bo$908bobo$909b2o33$11764bo$11762b2o$11763b2o8$11761bobo$11761b
2o$11762bo3$11762bo$11762bobo$11762b2o135$11617bobo$11617b2o$11618bo4$
11607bo$11606bo$11606b3o5$11601bo$11600bo$11600b3o3$11596bobo$11596b2o
$11597bo30$1153bobo$1154b2o$1154bo4$1165bo$1166bo$1164b3o5$1171bo$
1172bo$1170b3o3$1174bobo$1175b2o$1175bo18$11521bobo$11521b2o$11522bo
23$1224bobo$1225b2o$1225bo675$10822bo$10821bo$10821b3o31$10790bobo$
10790b2o4bobo$10791bo4b2o$10797bo14$1950bo$1951bo$1949b3o31$1980bobo$
1974bobo4b2o$1975b2o4bo$1975bo426$2420bo$2421b2o$2420b2o8$2421bobo$
2422b2o$2422bo3$2422bo$2420bobo$2421b2o33$10252bo$10250b2o$10251b2o8$
10249bobo$10249b2o$10250bo3$10250bo$10250bobo$10250b2o360$2840bobo$
2841b2o$2841bo4$2852bo$2853bo$2851b3o5$2858bo$2859bo$2857b3o3$2861bobo
$2862b2o$2862bo30$9830bobo$9830b2o$9831bo4$9820bo$9819bo$9819b3o5$
9814bo$9813bo$9813b3o3$9809bobo$9809b2o$9810bo69$2982bo$2980bobo$2981b
2o8$2991bo3bo$2992bo3b2o$2990b3o2b2o6$2996bo$2997b2o5bo$2996b2o7bo$
3003b3o10$3021bo$3022b2o$3021b2o42$9665bo$9665bobo$9665b2o8$9652bo3bo$
9650b2o3bo$9651b2o2b3o6$9651bo$9643bo5b2o$9642bo7b2o$9642b3o10$9626bo$
9624b2o$9625b2o31$3128bo$3129bo$3127b3o10$3131bo$3129bobo$3130b2o$
3138bo$3136bobo$3137b2o11$3161bo$3162bo$3160b3o323$3481bo$3475bo3bobo$
3473bobo4b2o$3474b2o35$9203bo$9202bo$9202b3o$9193bo$9193bobo$9186bo6b
2o$9186bobo$9186b2o9bo$9197bobo$9197b2o3$9200bo$9199bo$9199b3o10$9174b
obo$9174b2o$9175bo2$9168bo$3617bobo5547bo$3618b2o5547b3o$3618bo2$9164b
o$9164bobo$9164b2o4$9166bobo$9166b2o$9167bo2$9148bobo$9148b2o$9149bo4$
9143bo$9143bobo$9143b2o290$3858bobo$3859b2o$3859bo30$3891bo$3885bo3bob
o$3883bobo4b2o$3884b2o9$3901bo4bo$3902bo4bo5bobo$3900b3o2b3o6b2o$3914b
o13$3919bo$3920b2o$3919b2o37$8763bobo$8763b2o$8764bo8$8748bo$8748bobo$
8748b2o3$8738bo6bobo$8738bobo4b2o$8738b2o6bo34$4008bobo$4009b2o$4009bo
4$4025bo$4023bobo$4024b2o3bo$4030bo$4028b3o$4020bo$4018bobo12bo$4019b
2o10bobo$4032b2o25$4057bo5bo$4058b2obobo$4057b2o3b2o4$4067bo$4068bo$
4066b3o14$4071bo$4072bo3bo$4070b3o4bo$4075b3o3$4068bobo$4069b2o2bobo8b
o$4069bo4b2o6bobo$4074bo8b2o286$8351bobo$8351b2o$8352bo30$8320bo$8320b
obo3bo$8320b2o4bobo$8326b2o9$8299bobo$8299b2o$8300bo42$8260bo$8259bo$
8259b3o41$8219bo$8217b2o6bo$8218b2o3b2o$8224b2o8$8205bo$8203b2o$8204b
2o3$8205bo$8205bobo$8200bobo2b2o$8200b2o$8201bo219$4741bobo$4742b2o3bo
$4742bo5b2o$4747b2o37$4783bo$4784b2o$4778bo4b2o$4779bo$4777b3o3$4788bo
$4789b2o$4788b2o4$4789bo$4787bobo$4788b2o8$4805bo$4803bobo$4804b2o2$
7909bo4bo$7909bobo2bobo$7909b2o3b2o8$7904bo$7902b2o$7903b2o2$7889bo$
7888bo$7885bo2b3o$7883b2o$7884b2o5$7882bo$7882bobo$7882b2o26$4858bo4bo
$4859b2o3b2o$4858b2o3b2o2986bo$7851bobo$7851b2o5bo$7856b2o$7857b2o4$
4870bo$4871bo$4869b3o3$4883bobo$4884b2o3bo$4884bo5bo$4888b3o5$4890bo$
4891b2o$4890b2o28$4921bo$4922b2o$4916bo4b2o2823bobo$4917bo2828b2o$
4915b3o2829bo8$4939bo$4940b2o$4939b2o19$4945bo$4943bobo6bo$4944b2o4bob
o$4951b2o28$4975bo$4973bobo$4974b2o6$4989bo$4990b2o55bo$4989b2o57bo$
5046b3o3$4993bobo$4994b2o$4994bo4$7710bo$7710bobo$7710b2o41$5043bo$
5037bo6bo$5038bo3b3o$5036b3o2$5049bobo$5050b2o$5050bo2$5056bo$5054bobo
$5055b2o4bobo$5062b2o$5062bo6$5071bo$5072bo$5070b3o4$5066bo$5067b2o$
5066b2o6$5068bobo$5069b2o$5069bo34$5119bo$5117bobo$5118b2o8$5118bobo$
5119b2o$5119bo5$5129bobo$5130b2o$5121bo8bo$5122b2o$5121b2o9$5142bobo$
5143b2o$5143bo3$5157bobo$5158b2o$5158bo4$5151bo$5152b2o$5151b2o181$
7384bo$7384bobo$7372bo11b2o$7372bobo$7372b2o2$7359bo$7359bobo$7359b2o
6$7356bo$7350bo4bo$7350bobo2b3o$7350b2o3$7359bobo$7351bobo5b2o$7351b2o
7bo$7352bo16$7337bo$7335b2o$7336b2o3$7333bo$7331b2o$7332b2o6$7319bo$
7318bo$7314bo3b3o$7313bo$7313b3o85$7218bo9bo$7217bo10bobo$7217b3o8b2o
7$7233bobo$7233b2o$7234bo2$7238bo$7237bo$7237b3o54$5573bo$5554bo16bobo
$5552bobo17b2o$5553b2o10$5565bobo$5566b2o$5566bo11$5580bo$5581b2o$
5580b2o$5588bo$5586bobo$5587b2o7$5596bo$5594bobo$5595b2o6$5610bobo$
5611b2o$5611bo8$5610bo$5608bobo$5609b2o8$5619bo3bo$5620bo3b2o$5618b3o
2b2o8$5629bo$5627bobo$5628b2o2$5631bo$5632bo$5630b3o4bobo$5638b2o$
5638bo5$7067bo$5652bo1413bo$5653b2o1411b3o$5652b2o6$5659bo$5657bobo$
5658b2o9$5661bo$5662bo$5660b3o$5668bo$5669bo$5667b3o56$5736bo$5737bo$
5735b3o30$6966bobo$6966b2o$6967bo8$6952bo5bo$6952bobob2o$6952b2o3b2o8$
6947bobo$6947b2o$6948bo2$6946bo$6938bo5b2o$6937bo7b2o$6937b3o5$6925bo$
6925bobo$6925b2o34$5830bo$5824bo6b2o$5825b2o3b2o$5824b2o4$6884bobo$
6884b2o$6885bo4$6880bo$6878b2o$6879b2o4$6881bobo$6881b2o$6882bo9$6856b
o$6856bobo$6856b2o3$5913bo935bobo$5911bobo935b2o$5912b2o936bo2$6847bo$
6845b2o$6846b2o4$6848bo$6848bobo$6848b2o30$5921bo$5922b2o$5921b2o7$
5924bobo3bo$5925b2o4b2o$5925bo4b2o3$5922bo$5920bobo7bo$5921b2o5bobo$
5929b2o9$5933bo$5934b2o$5933b2o28$5961bobo$5955bobo4b2o$5956b2o4bo$
5956bo8$5980bo$5981bo$5979b3o751bo$6733bobo$6733b2o4$6729bo$5982bobo
742b2o$5983b2o743b2o$5983bo18$6719bo$6717b2o$6718b2o18$6024bo$6025bo$
6023b3o5$6038bobo$6039b2o$6039bo644bo$6045bo637bo$6046bo636b3o$6033bob
o8b3o$6034b2o$6034bo647bo$6680b2o$6681b2o$6047bo$6048b2o621bobo$6047b
2o6bo615b2o$6056b2o614bo$6055b2o2$6052bo$6050bobo$6051b2o607bo$6659bo$
6659b3o$6671bo$6665bo5bobo$6663b2o6b2o$6664b2o6$6062bo$6063b2o$6062b2o
4$6653bo$6652bo$6652b3o3$6079bo563bo$6080b2o559b2o$6079b2o561b2o45$
6597bo$6595b2o$6596b2o8$6586bo$6584b2o$6585b2o8$6569bobo$6569b2o$6570b
o5$6567bo$6565b2o$6566b2o4$6159bo$6157bobo$6158b2o400bo$6165bobo390b2o
$6166b2o391b2o$6166bo2$6555bo$6167bobo384bo$6168b2o384b3o$6168bo18$
6540bo$6540bobo$6540b2o5$6492bo3bobo$6491bo4b2o$6491b3o3bo$6214bo$
6199bobo13bo$6200b2o11b3o14bo273bobo$6200bo30b2o271b2o$6230b2o273bo$
6207bo26bobo$6205bobo27b2o$6206b2o27bo2$6478bo$6477bo32bobo$6477b3o30b
2o$6511bo$6221bobo$6222b2o$6222bo257bo$6480bobo$6220bo259b2o$6221bo$
6219b3o$6253bobo$6254b2o$6254bo$6489bo9bo$6489bobo7bobo$6251bo237b2o8b
2o$6252b2o$6251b2o$6491bobo$6491b2o$6492bo6$6244bo$6242bobo$6243b2o3$
6473bobo$6473b2o$6474bo31$6277bobo163bobo$6278b2o163b2o$6278bo165bo$
6292bobo133bobo$6293b2o133b2o$6277bo15bo135bo15bo$6275bobo167bobo$
6276b2o167b2o2$6304bobo$6305b2o$6305bo2$6307bobo$6308b2o$6308bo6$6283b
o155bo$6284b2o151b2o$6283b2o153b2o94$6304b3o$6306bo$6305bo5$6279bo163b
o$6279b2o161b2o$6278bobo161bobo2$6287b3o143b3o$6289bo143bo$6288bo145bo
11$6424bo$6423b2o$6423bobo2$6299bo$6279b3o17b2o140b3o$6281bo16bobo140b
o$6280bo161bo5$6275b2o169b2o$6276b2o167b2o$6275bo171bo8$6274b3o169b3o$
6276bo169bo$6275bo171bo$6279bo$6279b2o165bo$6278bobo164b2o$6445bobo5$
6445b2o$6444b2o$6446bo3$6467bo$6466b2o$6466bobo$6266b2o204b2o$6267b2o
202b2o$6250b2o14bo206bo$6249bobo$6251bo$6244b3o212b3o$6246bo212bo$
6245bo214bo4$6487b3o$6487bo$6488bo2$6248b3o$6250bo$6249bo4$6223b2o$
6224b2o$6223bo2$6483b2o$6482b2o$6484bo3$6228b3o264b2o$6230bo263b2o$
6222b3o4bo266bo$6224bo274b2o$6223bo266b2o6b2o$6489b2o9bo$6491bo4$6225b
o$6225b2o$6224bobo3$6501b2o$6501bobo$6501bo16$6523b2o$6523bobo$6523bo$
6527b2o$6527bobo$6527bo9$6531b3o$6531bo$6176b2o354bo$6177b2o$6176bo8bo
$6185b2o$6184bobo$6167b2o380b3o$6166bobo380bo$6168bo381bo$6181b3o$
6183bo$6182bo370b3o$6553bo$6554bo3b2o$6558bobo$6558bo$6568b2o$6568bobo
$6568bo$6169b2o$6170b2o$6169bo4$6170b2o395b3o$6165b2o4b2o394bo$6164bob
o3bo397bo$6166bo3$6162b2o408b2o$6163b2o407bobo$6162bo409bo5$6583b3o$
6583bo6b3o$6584bo5bo$6151bo439bo$6151b2o$6150bobo3$6584b3o$6584bo$
6585bo$6140bo$6140b2o$6139bobo7$6598b2o$6598bobo$6598bo$6118bo$6118b2o
465b3o$6117bobo465bo$6586bo12bo$6598b2o$6598bobo$6112b3o496bo$6114bo
495b2o$6113bo496bobo3$6124b2o$6125b2o$6124bo2$6121b2o$6122b2o$6121bo5$
6611bo$6087b2o521b2o$6088b2o520bobo$6087bo3$6092b2o$6093b2o$6092bo2$
6096bo$6089b2o5b2o534bo$6088bobo4bobo533b2o$6090bo9b2o529bobo$6099bobo
$6077bo23bo543bo$6077b2o6b2o4bo552b2o$6076bobo7b2o3b2o551bobo$6085bo4b
obo$6633b2o$6633bobo$6084b2o547bo$6083bobo552b2o$6085bo552bobo$6638bo$
6076b2o567b2o8b3o$6075bobo556b2o9bobo2b2o3bo$6077bo556bobo8bo4bobo3bo$
6634bo15bo3$6059b2o$6060b2o3bo$6059bo5b2o$6064bobo595b2o$6662bobo$
6662bo2$6670b2o$6670bobo$6053bo616bo$6053b2o627b3o$6052bobo627bo$6683b
o$6044b2o$6045b2o$6044bo3$6042b3o$6038bo5bo$6038b2o3bo$6037bobo644b3o$
6684bo$6042b2o641bo$6043b2o$6042bo646b2o$6688b2o$6668b2o20bo$6667b2o$
6669bo3$6668b2o$6044b2o622bobo$6043bobo622bo$6045bo2$6033b3o$6035bo$
6034bo645b3o$6045b2o633bo$6044bobo634bo$6033bo12bo$6022bo10b2o664b2o$
6022b2o8bobo664bobo$6021bobo675bo2$6033b2o$6032bobo$6034bo3$6033bo$
6033b2o663bo$6032bobo662b2o30b3o$6697bobo29bo$6730bo$6708b2o$6707b2o$
6020b2o687bo$6021b2o674bo40b2o$6020bo675b2o39b2o$6696bobo40bo$6708b3o$
6708bo10b3o$6709bo9bo$6720bo9b2o$6729b2o7b2o$6014bo716bo6bobo$6014b2o
722bo$6013bobo2$6736b2o$6736bobo$5978b2o756bo$5977bobo13b2o11b3o$5979b
o12bobo13bo$5994bo12bo$5988b2o$5987bobo720bo$5989bo719b2o$6709bobo13bo
$6724b2o$6724bobo2$5994bo$5994b2o$5993bobo$5983b2o$5982bobo$5984bo4$
5976b3o760bo$5978bo759b2o$5977bo755b3o2bobo$6733bo$6734bo$5976bo$5959b
o16b2o$5959b2o14bobo$5958bobo9b3o$5972bo$5971bo769b3o$6741bo$5966b3o
773bo$5968bo$5967bo2$6759b2o$5960bo4b2o792bobo$5960b2o4b2o791bo$5959bo
bo3bo2$6751b2o$6750b2o$5958b3o791bo$5960bo$5959bo2$5957bo$5957b2o797bo
$5956bobo796b2o$6755bobo3$5929b3o$5931bo$5922b2o6bo824bo$5921bobo830b
2o10b2o$5923bo10b3o817bobo9bobo$5936bo829bo$5935bo$5907b2o$5908b2o$
5907bo30b2o3b3o$5919bo17bobo5bo$5919b2o18bo4bo841b2o$5918bobo864b2o$
6778b3o6bo$6778bo$6779bo2$5935b3o$5937bo$5936bo2$5933b2o$5932bobo850b
2o$5934bo850bobo$6785bo5$6784b2o$6784bobo$5919bo4b2o858bo$5919b2o4b2o$
5918bobo3bo886b2o$6811bobo$6804b2o5bo$6803b2o$6805bo2$5916b2o$5917b2o$
5916bo2$5914bo$5914b2o895bo$5913bobo894b2o$6810bobo5$6810bo$5904b3o
902b2o32bo$5906bo902bobo30b2o$5905bo936bobo2$5900bo$5900b2o$5899bobo2$
6840b3o4b2o4bo$6840bo5b2o4b2o$6841bo6bo3bobo2$5891b3o$5893bo$5892bo3$
5891b2o$5892b2o945b2o$5891bo946b2o$6840bo$6850bo$6849b2o$5879bo969bobo
$5879b2o$5878bobo957b2o$6837b2o$6839bo10b2o$6850bobo9bo$6850bo10b2o$
6861bobo$6853b2o$5873b2o978bobo$5872bobo978bo$5874bo3$5871b2o$5870bobo
$5872bo2$6888b3o$5867b3o1018bo$5869bo1019bo$5868bo3$6884b3o$6884bo$
6885bo$6879b2o$5849bo1029bobo9bo$5827b2o20b2o1028bo10b2o$5828b2o18bobo
1039bobo$5827bo11b2o$5838bobo$5840bo1032b2o$6873bobo$5835b2o1036bo$
5834bobo$5836bo$6883b2o$6883bobo2b3o$5836bo1046bo4bo$5836b2o1051bo$
5835bobo5b2o$5842bobo$5844bo2$6891b2o$6891bobo$6891bo$5839b2o1061b3o$
5840b2o1060bo$5839bo1063bo12$5822b2o$5823b2o$5822bo$6942b2o$6941b2o$
5820b3o1120bo$5822bo$5821bo$6934bo$6933b2o$6933bobo6b2o$6941b2o$6943bo
4$5804b3o$5806bo$5805bo13$6951b2o$6950b2o$6952bo2$5789b3o$5791bo$5790b
o5$6964bo$6963b2o$6963bobo6$6956b3o$6956bo$6957bo3$5734b2o1231b2o$
5733bobo1230b2o$5735bo1232bo3$5767b2o$5766bobo1200b2o$5768bo1200bobo$
6969bo5$6968b2o$6968bobo$6968bo$6976b2o$6976bobo2b3o$5737bo1238bo4bo$
5737b2o1243bo$5736bobo5b2o$5743bobo$5745bo2$6984b2o$6984bobo$6984bo3$
6986b3o$5737b3o1246bo$5739bo1247bo$5738bo5$5738b3o$5740bo1255bo$5739bo
1255b2o4b2o$6995bobo2b2o$5711b3o1288bo$5713bo5bo$5712bo6b2o$5718bobo2$
7004bo$7003b2o$7003bobo3$7006b2o$5712b2o1291b2o$5713b2o1292bo$5712bo5$
5713b2o$5714b2o$5713bo1300b3o3b2o$7014bo5bobo$5686b2o1327bo4bo$5687b2o
$5686bo6b3o$5695bo$5694bo2$7022b3o$7022bo$7023bo2$7025b2o$5687b2o1336b
obo35b3o$5686bobo1336bo37bo$5688bo1375bo2$7066b2o$7066bobo$5671b2o
1362b2o29bo$5670bobo15b2o1344b2o$5672bo14bobo1346bo$5689bo2$5668b2o$
5662b2o5b2o1374bo$5661bobo4bo1375b2o$5663bo1380bobo$5651b3o$5653bo$
5652bo3$5633b3o$5635bo1411bo$5634bo1411b2o$7046bobo2$5642b2o$5641bobo$
5633b3o7bo$5635bo$5634bo3$7063bo$7062b2o$7062bobo9$5614bo$5614b2o$
5613bobo3$5624b3o$5626bo$5625bo$7078bo$7077b2o$7077bobo2$5604b2o$5605b
2o$5604bo2$5612b2o$5611bobo$5613bo4$5597b3o$5599bo19bo$5598bo20b2o$
5618bobo4$5608b3o$5610bo$5609bo2$5582b2o$5583b2o1515b2o$5582bo23b2o
1491b2o$5607b2o1492bo$5587bo18bo$5587b2o$5586bobo2$5592b2o$5570b3o20b
2o12b2o1506b2o$5572bo19bo15b2o1504b2o$5571bo24b3o8bo1508bo$5598bo$
5597bo2$5582b2o1534bo$5583b2o1532b2o$5582bo1534bobo3$5585b3o$5587bo$
5586bo5$5562b2o1561b2o$5563b2o1559b2o$5562bo1563bo15$7137b2o$7137bobo$
7137bo4$5552bo4b2o$5552b2o4b2o$5551bobo3bo1602b2o$7160bobo$7153b2o5bo$
7152b2o$7154bo2$5549b2o$5550b2o$5549bo2$5547bo$5547b2o1611bo$5546bobo
1610b2o$7159bobo5$7159bo$7158b2o$5538b2o1618bobo$5532b3o2bobo$5534bo4b
o1646bo$5533bo1651b2o$7178b2o5bobo$7178bobo38b2o$7178bo40bobo$7219bo$
5530b2o$5529bobo$5531bo3$5527b3o$5529bo1654b3o$5528bo1655bo$7185bo5$
7183b3o$5519bo1663bo$5513b2o4b2o1663bo$5514b2o2bobo$5513bo1696b3o$
7204bo5bo$7203b2o6bo$7203bobo22b2o$7228bobo$7228bo2$7233b2o$5508b3o
1722bobo$5510bo1722bo$5509bo2$5506b2o$5505bobo1704b2o$5507bo1704bobo$
7212bo5$7211b2o$7211bobo$5492bo4b2o1712bo$5492b2o4b2o$5491bobo3bo1740b
2o$7238bobo$7231b2o5bo$7230b2o$7232bo4$5487b2o$5486bobo$5488bo3$5484b
3o$5486bo1752b3o$5485bo1753bo$7240bo5$7238b3o$5476bo1761bo$5470b2o4b2o
1761bo$5471b2o2bobo$5470bo1794b3o$7259bo5bo$7258b2o6bo$7258bobo5$5465b
3o$5467bo$5466bo2$5463b2o$5462bobo1802b2o$5464bo1802bobo$7267bo5$7266b
2o$7266bobo$5449bo4b2o1810bo$5449b2o4b2o$5448bobo3bo1838b2o$7293bobo$
7286b2o5bo$7285b2o$7287bo4$5444b2o$5443bobo1869b3o$5445bo1869bo$7316bo
2$5441b3o$5443bo1850b3o$5442bo1851bo$7295bo16b2o$7311b2o$7313bo2$5432b
2o$5433b2o1858b3o$5432bo1860bo$7294bo2$5432b2o$5431bobo1876b2o$5433bo
1876bobo$7310bo19b3o6bo$7330bo7b2o$7331bo6bobo2$5422b2o$5423b2o1884b2o
$5422bo1886bobo$7309bo$5418b3o1907bo$5420bo1906b2o$5419bo1907bobo2$
7336b2o2b3o$7335b2o3bo$7337bo3bo$5410b3o$5412bo$5411bo1930b3o$7342bo8b
2o$7343bo6b2o$7352bo6bo$7358b2o$7358bobo3$7373b2o$7373bobo$7373bo2$
7361b3o$7361bo$7362bo4$7374b2o$7373b2o$7375bo2$7371b2o$7371bobo$7371bo
5$5380bo$5380b2o1990bo$5379bobo1989b2o$5384b2o1985bobo$5383bobo$5385bo
$5374b2o1998b3o$5373bobo1998bo$5375bo1999bo2$7372bo$7371b2o$7371bobo3$
5374b2o$5373bobo$5375bo4$7380b2o4bo$7379b2o4b2o$5351b2o2028bo3bobo$
5350bobo$5352bo5b2o$5359b2o$5358bo4$7390b2o$7390bobo$7390bo3$7392b3o$
5349b3o2040bo$5351bo2041bo$5350bo5$5350b3o$5352bo2049bo$5351bo2049b2o
4b2o$7401bobo2b2o$5323b3o2082bo$5325bo5bo$5324bo6b2o$5330bobo5$7411b3o
$7411bo$7412bo2$7414b2o$5322b2o2090bobo$5321bobo2090bo$5323bo5$5323b2o
$5322bobo$5324bo2098b2o4bo$7422b2o4b2o$5296b2o2126bo3bobo$5295bobo$
5297bo5b2o$5304b2o$5303bo4$7433b2o$7433bobo$7433bo3$7435b3o$5294b3o
2138bo$5296bo2139bo$5295bo5$5295b3o$5297bo2147bo$5296bo2147b2o4b2o$
7444bobo2b2o$5268b3o2180bo$5270bo5bo$5269bo6b2o$5275bobo5$7454b3o$
7454bo$7455bo2$7457b2o$5267b2o2188bobo$5266bobo2188bo$5268bo5$5268b2o$
5267bobo$5269bo2196b2o4bo$7465b2o4b2o$5241b2o2224bo3bobo$5240bobo$
5242bo5b2o$5249b2o$5248bo4$7476b2o$7476bobo$7476bo3$7478b3o$5239b3o
2236bo$5241bo2237bo$5240bo5$5240b3o$5242bo2245bo$5241bo2245b2o4b2o$
7487bobo2b2o$5213b3o2278bo$5215bo5bo$5214bo6b2o$5220bobo5$7497b3o$
7497bo$7498bo2$7500b2o$5212b2o2286bobo$5211bobo2286bo$5213bo5$5213b2o$
5212bobo$5214bo2294b2o4bo$7508b2o4b2o$5186b2o2322bo3bobo$5185bobo$
5187bo5b2o$5194b2o$5193bo4$7519b2o$7519bobo$5156b2o2361bo$5155bobo$
5157bo$7521b3o$5159bo24b3o2334bo$5159b2o25bo2335bo$5158bobo24bo5$5185b
3o$5187bo2344b3o$5158b3o25bo2345bo$5160bo2368bo3bo$5159bo2368b2o$7528b
obo7$5146b2o$5145bobo$5147bo$5153b2o$5152bobo$5154bo$5141bo$5141b2o$
5140bobo2$5125b2o$5126b2o2426b2o$5125bo2428bobo$7554bo7$7558b2o$7557b
2o$5121b2o2436bo$5122b2o2b2o$5121bo3bobo9b2o2429b2o$5127bo8bobo2428b2o
$5138bo2420b2o8bo$7558b2o$7560bo11$5118b2o$5117bobo$5119bo$5113b3o
2465b2o$5115bo2465bobo$5114bo2466bo5$7594b3o$5109b2o2483bo$5108bobo
2484bo$5110bo3$7588b2o$7587b2o$7589bo2$5089b2o$5081b2o7b2o$5080bobo6bo
13b2o$5082bo21b2o$5072b2o29bo2500b2o$5071bobo2530bobo$5073bo2530bo9$
7605b2o$7605bobo$7605bo$5059b2o$5047b3o4b2o2bobo2562bo$5049bo5b2o3bo
2561b2o$5048bo5bo13b2o5b2o2545bobo$5069b2o5b2o$5068bo6bo5$5049b2o$
5050b2o$5049bo12$5039b3o$5041bo9b2o$5040bo11b2o$5051bo2593b2o$7644b2o$
5047b2o2597bo$5048b2o$5047bo$5042b3o$5044bo$5043bo2595b3o$7639bo$7640b
o3$7719b2o$7719bobo$5045b2o2672bo$5046b2o$5045bo2661b2o$7707bobo$7707b
o$7666bo$7665b2o$5026b3o2636bobo41b3o$5028bo2680bo$5027bo2682bo$5030b
3o$5032bo$5026b2o3bo2686b2o$5025bobo2642b3o45bobo$5027bo2642bo47bo$
7671bo3$7675b2o$7675bobo$7675bo2$5011b2o2676b2o$5010bobo2675b2o$5012bo
2677bo9$4995b2o2692b3o$4994bobo2692bo$4996bo2693bo2$4991b2o2704bo$
4990bobo2703b2o$4992bo2703bobo4$4982b3o2713b2o$4984bo2713bobo$4983bo
2714bo$4975bo$4975b2o$4974bobo4$7712b2o$7712bobo$7712bo5$4971b3o$4973b
o$4972bo9$4930b2o$4931b2o17b2o$4930bo18bobo$4951bo$4942b2o10b2o$4943b
2o10b2o$4942bo11bo2777bo$7731b2o$4940bo2790bobo$4940b2o$4939bobo4$
4931b2o$4932b2o$4931bo14$4916bo$4916b2o$4915bobo$7756b2o$7755b2o$4926b
3o2828bo$4928bo$4916b2o9bo$4917b2o$4916bo9$4902bo$4902b2o$4901bobo10$
4888bo$4888b2o$4887bobo6$4883bo$4883b2o$4882bobo3$7800b2o$7800bobo$
4886b2o2912bo$4885bobo$4887bo2$4881b2o2918b3o3bo$4872b2o8b2o2917bo4b2o
$4871bobo7bo2920bo3bobo$4873bo2982b3o$7856bo$4884b3o27b2o2941bo$4886bo
26bobo$4862b2o21bo29bo2930b2o$4863b2o2980b2o$4862bo7b2o2975bo8b2o$
4869bobo2947b2o35bobo$4871bo2947bobo34bo$7813bo5bo$7812b2o$7812bobo$
4870b2o$4871b2o$4870bo4$7870b3o$7870bo$7871bo10$7884b3o$7884bo$7885bo
6$7889b3o$7889bo$7890bo2$4870bo$4870b2o$4869bobo3015bo$7886b2o$7886bob
o2$4868b2o3021b2o$4863b3o3b2o3020bobo7bo$4865bo2bo3022bo8b2o$4864bo
3035bobo2$7888b2o$7887b2o$7889bo20b2o$7910bobo$7903bo6bo$4851bo3050b2o
$4851b2o3049bobo$4850bobo$4857b3o$4859bo$4858bo3043b2o$7902bobo$4821b
2o3059bo19bo$4816b2o4b2o3057b2o$4815bobo3bo3059bobo$4817bo6$7885b3o$
7885bo$7886bo3b2o$7890bobo$4809b3o3078bo$4811bo$4802b2o6bo$4803b2o$
4802bo$7882b2o$7881b2o$7883bo2$7891b3o$7891bo$4778bo3113bo$4778b2o$
4777bobo$7890b2o$7889b2o$4788b3o3100bo$4790bo$4778b2o9bo$4779b2o$4778b
o9$4764bo$4764b2o$4763bobo9$4749b3o$4751bo$4750bo10$7941b2o$7941bobo$
7932b3o6bo$7932bo$7933bo2$4751b3o$4753bo$4752bo4$4744b2o3b3o$4743bobo
5bo$4745bo4bo3211b2o$4739b3o3219b2o$4741bo3212b3o6bo$4740bo3213bo$
7955bo2$4741bo$4741b2o$4740bobo3$4738b2o$4739b2o3221b2o$4738bo3222b2o$
7963bo5$7961b2o$7960b2o$7962bo11$4713bo4b2o$4713b2o4b2o$4712bobo3bo
3280b2o$7999bobo$7992b2o5bo$7991b2o$7993bo2$4710b2o$4711b2o$4710bo2$
4708bo$4708b2o3289bo$4707bobo3288b2o$7998bobo5$7998bo$7997b2o$7997bobo
3$4691bo4b2o$4691b2o4b2o$4690bobo3bo3330b2o$8027bobo$8020b2o5bo$8019b
2o$8021bo2$4688b2o$4689b2o$4688bo2$4686bo$4686b2o3339bo$4685bobo3338b
2o$8026bobo5$8026bo$8025b2o$8025bobo3$4669bo4b2o$4669b2o4b2o$4668bobo
3bo3380b2o$8055bobo$8048b2o5bo$8047b2o$8049bo2$4666b2o$4667b2o$4666bo
2$4664bo$4664b2o3389bo$4663bobo3388b2o$8054bobo5$8054bo$8053b2o$8053bo
bo3$4647bo4b2o$4647b2o4b2o$4646bobo3bo3430b2o$8083bobo$8076b2o5bo$
8075b2o$8077bo2$4644b2o$4645b2o$4644bo2$4642bo$4642b2o3439bo$4641bobo
3438b2o$8082bobo5$8082bo$8081b2o$8081bobo3$4625bo4b2o$4625b2o4b2o$
4624bobo3bo3480b2o$8111bobo$8104b2o5bo$8103b2o$8105bo2$4622b2o$4623b2o
$4622bo2$4620bo$4620b2o3489bo$4619bobo3488b2o$8110bobo5$8110bo$8109b2o
$8109bobo3$4603bo4b2o$4603b2o4b2o$4602bobo3bo3530b2o$8139bobo$8132b2o
5bo$8131b2o$8133bo2$4600b2o$4601b2o$4600bo2$4598bo$4598b2o3539bo$4597b
obo3538b2o$8138bobo5$8138bo$8137b2o$8137bobo20$4569b2o$4563b3o2bobo$
4565bo4bo3614bo$4564bo3619b2o$8177b2o5bobo$8177bobo$8177bo4$4559bo$
4559b2o$4558bobo2$4555b2o3641bo$4556b2o3639b2o$4548bo6bo3641bobo$4548b
2o3658bo$4547bobo3657b2o$8207bobo$8215b3o$8215bo$8216bo7$8221b2o$8209b
2o9b2o$8209bobo10bo$4537b2o3670bo$4536bobo$4538bo3674b2o$8213bobo$
8213bo2$4529b3o3685b2o$4531bo3685bobo$4530bo3686bo3$4532b3o$4534bo$
4524b2o7bo$4525b2o$4524bo5b2o$4529bobo$4531bo3691b2o$8222b2o$8224bo3bo
$4518b2o3707b2o$4519b2o3706bobo$4518bo3$4514bo$4514b2o$4513bobo2$4500b
2o3741bo$4499bobo3740b2o$4501bo3740bobo9$4499b2o3758bo$4500b2o3756b2o$
4499bo3758bobo4$8258b2o$8257b2o$8259bo8b2o$8268bobo$4491b2o3769b3o3bo$
4484b3o3bobo3769bo$4486bo5bo3770bo$4485bo3773b2o$8259bobo$4482b2o3775b
o$4481bobo3786b2o$4483bo3785b2o$8271bo$4477b2o$4478b2o$4477bo$8278b2o$
4472b3o3792b2o8b2o$4474bo3791b2o11bo$4473bo7b3o3784bo$4483bo$4482bo$
8301b2o$8301bobo$8301bo2$8299bo$8298b2o$8298bobo5$8298bo$8297b2o$8297b
obo3$4464b2o$4465b2o$4464bo2$8294b2o$8293b2o$8295bo2$8298b3o$4447b3o
3848bo$4449bo3849bo$4448bo2$4452b2o$4453b2o$4452bo$8323b2o$8312bo10bob
o$8311b2o10bo$4437bo3873bobo$4437b2o$4436bobo3877bo$8315b2o$8315bobo4$
8316b3o3b2o$8316bo5bobo$4420b2o3895bo4bo$4421b2o3903b3o$4420bo6b3o
3896bo$4429bo3897bo$4428bo2$8326bo$8325b2o$8325bobo3$8328b2o$4420b2o
3905b2o$4421b2o3906bo$4420bo5$4421b2o$4409b3o10b2o3926b2o$4411bo9bo
3928bobo$4410bo3939bo$8356bo$8355b2o$8355bobo3$4412b3o$4414bo$4413bo$
8361b2o$8360b2o$8362bo57$8406b2o4bo$8405b2o4b2o$4325b2o4080bo3bobo7b2o
$4324bobo4094bobo$4326bo5b2o4087bo$4333b2o$4332bo2$8414b2o$8413b2o$
8415bo2$8417bo$4326bo4089b2o$4326b2o4088bobo$4325bobo5$4327bo$4327b2o$
4326bobo3$8428b2o4bo$8427b2o4b2o$4297b2o4130bo3bobo$4296bobo$4298bo5b
2o$4305b2o$4304bo2$8436b2o$8435b2o$8437bo2$8439bo$4298bo4139b2o$4298b
2o4138bobo$4297bobo5$4299bo$4299b2o$4298bobo3$8450b2o4bo$8449b2o4b2o$
4269b2o4180bo3bobo$4268bobo$4270bo5b2o$4277b2o$4276bo2$8458b2o$8457b2o
$8459bo2$8461bo$4270bo4189b2o$4270b2o4188bobo$4269bobo5$4271bo$4271b2o
$4270bobo3$8472b2o4bo$8471b2o4b2o$4241b2o4230bo3bobo$4240bobo$4242bo5b
2o$4249b2o$4248bo2$8480b2o$8479b2o$8481bo2$8483bo$4242bo4239b2o$4242b
2o4238bobo$4241bobo5$4243bo$4243b2o$4242bobo3$8494b2o4bo$8493b2o4b2o$
4213b2o4280bo3bobo$4212bobo$4214bo5b2o$4221b2o$4220bo2$8502b2o$8501b2o
$8503bo2$8505bo$4214bo4289b2o$4214b2o4288bobo$4213bobo5$4215bo$4215b2o
$4214bobo3$8516b2o4bo$8515b2o4b2o$4185b2o4330bo3bobo$4184bobo$4186bo5b
2o$4193b2o$4192bo2$8524b2o$8523b2o$8525bo2$8527bo$4186bo4339b2o$4186b
2o4338bobo$4185bobo5$4187bo$4187b2o$4186bobo3$8538b2o4bo$8537b2o4b2o$
4157b2o4380bo3bobo$4156bobo$4158bo5b2o$4165b2o$4164bo2$8546b2o$8545b2o
$8547bo2$8549bo$4158bo4389b2o$4158b2o4388bobo$4157bobo5$4159bo$4159b2o
$4158bobo3$8560b2o4bo$8559b2o4b2o$4129b2o4430bo3bobo$4128bobo$4130bo5b
2o$4137b2o$4136bo2$8568b2o$8567b2o$8569bo2$8571bo$4130bo4439b2o$4130b
2o4438bobo$4129bobo5$4131bo$4131b2o$4130bobo17$4084b2o$4085b2o$4084bo
2$8599b3o$8599bo$8600bo2$8602b2o$8602bobo$4064b2o4536bo$4063bobo$4065b
o$8603b2o$8603bobo$8603bo4$4059bo$4059b2o$4058bobo3$8619b3o3b2o$8619bo
5bobo$4063b2o4555bo4bo$4064b2o$4063bo6b3o$4072bo$4071bo4$8630b2o$8629b
2o$8631bo2$8633bo$4062bo4569b2o$4062b2o4568bobo$4061bobo$4035b2o$4034b
obo$4036bo2$4063bo$4063b2o$4062bobo$4031bo$4031b2o$4030bobo4$4023b2o$
4022bobo$4024bo2$4027b3o$4029bo$4028bo2$8658b3o$8658bo$8659bo3$8659b2o
$4029b2o4627b2o$4030b2o4628bo$4029bo$4019bo$4019b2o$4018bobo4651bo$
8671b2o$4030b2o4639bobo$4031b2o$4018b2o10bo$4007b2o8bobo$4006bobo10bo$
4008bo18$8741b2o$8741bobo$8741bo5$8749b2o$8749bobo$8749bo2$8744b3o7bo$
8744bo8b2o$8745bo7bobo2$4011b3o$4013bo$4012bo3$4011b2o$4012b2o4729b2o$
4011bo4730b2o$8744bo$8754bo$8753b2o$3999bo4753bobo$3999b2o$3998bobo
4741b2o$8741b2o$8743bo10b2o$8754bobo8b2o$8754bo10bobo$8765bo28$3910bo
18b3o$3910b2o19bo$3909bobo18bo$3924b3o$3914b3o9bo4822b2o$3916bo8bo
4822b2o$3915bo4834bo13b2o$8763b2o$8765bo2$3904b3o23b2o$3906bo24b2o$
3905bo24bo$3919b3o$3921bo$3920bo3$3913b2o$3912bobo4863b2o$3914bo4858b
2o2b2o$8773bobo3bo$8773bo2$3912b2o$3913b2o$3912bo7$3887b2o$3886bobo10b
o$3888bo10b2o$3898bobo4889bo$8789b2o$3895bo4893bobo$3895b2o$3894bobo4$
3888b2o3b3o$3887bobo5bo$3889bo4bo4911b2o$3883b3o4919b2o$3885bo4912b3o
6bo$3884bo4913bo$8799bo2$3885bo$3885b2o$3884bobo3$3882b2o$3883b2o4921b
2o$3882bo4922b2o$8807bo5$8805b2o$3860b2o4942b2o10b3o$3859bobo4944bo9bo
$3861bo4955bo10$3857bo4b2o$3857b2o4b2o$3856bobo3bo4980b2o$8843bobo$
8836b2o5bo$8835b2o$8837bo2$3854b2o$3855b2o$3854bo2$3852bo$3852b2o4989b
o$3851bobo4988b2o$8842bobo5$8842bo$8841b2o$8841bobo3$3835bo4b2o$3835b
2o4b2o$3834bobo3bo5030b2o$8871bobo$8864b2o5bo$8863b2o$8865bo2$3832b2o$
3833b2o$3832bo2$3830bo$3830b2o5039bo$3829bobo5038b2o$8870bobo5$8870bo$
8869b2o$8869bobo3$3813bo4b2o$3813b2o4b2o$3812bobo3bo5080b2o$8899bobo$
8892b2o5bo$8891b2o$8893bo2$3810b2o$3811b2o$3810bo2$3808bo$3808b2o5089b
o$3807bobo5088b2o$8898bobo5$8898bo$8897b2o$8897bobo3$3791bo4b2o$3791b
2o4b2o$3790bobo3bo5130b2o$8927bobo$8920b2o5bo$8919b2o$8921bo2$3788b2o$
3789b2o$3788bo2$3786bo$3786b2o5139bo$3785bobo5138b2o$8926bobo5$8926bo$
8925b2o$8925bobo3$3769bo4b2o$3769b2o4b2o$3768bobo3bo5180b2o$8955bobo$
8948b2o5bo$8947b2o$8949bo2$3766b2o$3767b2o$3766bo2$3764bo$3764b2o5189b
o$3763bobo5188b2o$8954bobo5$8954bo$8953b2o$8953bobo3$3747bo4b2o$3747b
2o4b2o$3746bobo3bo5230b2o$8983bobo$8976b2o5bo$8975b2o$8977bo2$3744b2o$
3745b2o$3744bo2$3742bo$3742b2o5239bo$3741bobo5238b2o$8982bobo5$8982bo$
8981b2o$8981bobo3$3725bo4b2o$3725b2o4b2o$3724bobo3bo5280b2o$9011bobo$
9004b2o5bo$9003b2o$9005bo2$3722b2o$3723b2o$3722bo2$3720bo$3720b2o5289b
o$3719bobo5288b2o$9010bobo5$9010bo$9009b2o$9009bobo3$3703bo4b2o$3703b
2o4b2o$3702bobo3bo5330b2o$9039bobo$9032b2o5bo$9031b2o$9033bo2$3700b2o$
3701b2o$3700bo2$3698bo$3698b2o5339bo$3697bobo5338b2o$9038bobo5$9038bo$
9037b2o$9037bobo3$3681bo4b2o$3681b2o4b2o$3680bobo3bo5380b2o$9067bobo$
9060b2o5bo$9059b2o$9061bo2$3678b2o$3679b2o$3678bo2$3676bo$3676b2o5389b
o$3675bobo5388b2o$9066bobo5$9066bo$9065b2o$9065bobo3$3659bo4b2o$3659b
2o4b2o$3658bobo3bo5430b2o$9095bobo$9088b2o5bo$9087b2o$9089bo2$3656b2o$
3657b2o$3656bo2$3654bo$3654b2o5439bo$3653bobo5438b2o$9094bobo5$9094bo$
9093b2o$9093bobo5$9145b2o$9144b2o$9146bo4$9153b2o$9153bobo$9153bo4$
9145b2o$9145bobo6bo$9145bo7b2o$3622b3o5528bobo$3624bo$3623bo$9152bo$
9151b2o$9151bobo$3615b2o$3616b2o$3615bo3$3612bo5541b3o$3612b2o5540bo$
3611bobo5541bo4b2o$9160bobo$9160bo6$9159b2o4b2o$9158b2o5bobo2b3o$9160b
o4bo4bo$9171bo$3597b2o$3598b2o$3597bo3$3597b2o$3596bobo5558b2o$3598bo
5558bobo$9157bo$9190bo$9167b3o19b2o$9167bo21bobo$3584b3o5581bo$3586bo
5569b2o$3585bo5570bobo$9156bo12bo$9168b2o$9168bobo8b3o$9179bo$9172bo7b
o$3579bo5591b2o$3579b2o5590bobo$3578bobo3$3577bo$3577b2o$3576bobo2$
9207b2o$3573b2o5631b2o$3574b2o5632bo$3573bo3$9203b2o$9202b2o$9204bo$
9198bo$9197b2o$3554b3o5640bobo8b3o$3556bo5651bo$3555bo5653bo30$3477b2o
$3476bobo$3478bo10bo$3489b2o$3488bobo5709bo$9199b2o$3485bo5713bobo$
3485b2o$3484bobo5$9237b2o4bo$9236b2o4b2o$3506b2o5730bo3bobo$3505bobo$
3507bo5b2o$3514b2o$3513bo2$9245b2o$9244b2o$9246bo2$9248bo$3507bo5739b
2o$3507b2o5738bobo$3506bobo5$3508bo$3508b2o$3507bobo3$9259b2o4bo$9258b
2o4b2o$3478b2o5780bo3bobo$3477bobo$3479bo5b2o$3486b2o$3485bo2$9267b2o$
9266b2o$9268bo2$9270bo$3479bo5789b2o$3479b2o5788bobo$3478bobo5$3480bo$
3480b2o$3479bobo3$9281b2o4bo$9280b2o4b2o$3450b2o5830bo3bobo$3449bobo$
3451bo5b2o$3458b2o$3457bo2$9289b2o$9288b2o$9290bo2$9292bo$3451bo5839b
2o$3451b2o5838bobo$3450bobo5$3452bo$3452b2o$3451bobo3$9303b2o4bo$9302b
2o4b2o$3422b2o5880bo3bobo$3421bobo$3423bo5b2o$3430b2o$3429bo2$9311b2o$
9310b2o$9312bo2$9314bo$3423bo5889b2o$3423b2o5888bobo$3422bobo5$3424bo$
3424b2o$3423bobo3$9325b2o4bo$9324b2o4b2o$3394b2o5930bo3bobo$3393bobo$
3395bo5b2o$3402b2o$3401bo2$9333b2o$9332b2o$9334bo2$9336bo$3395bo5939b
2o$3395b2o5938bobo$3394bobo5$3396bo$3396b2o$3395bobo3$9347b2o4bo$9346b
2o4b2o$3366b2o5980bo3bobo$3365bobo$3367bo5b2o$3374b2o$3373bo2$9355b2o$
9354b2o$9356bo2$9358bo$3367bo5989b2o$3367b2o5988bobo$3366bobo5$3368bo$
3368b2o$3367bobo3$9369b2o4bo$9368b2o4b2o$3338b2o6030bo3bobo$3337bobo$
3339bo5b2o$3346b2o$3345bo2$9377b2o$9376b2o$9378bo2$9380bo$3339bo6039b
2o$3339b2o6038bobo$3338bobo5$3340bo$3340b2o$3339bobo3$9391b2o4bo$9390b
2o4b2o$3310b2o6080bo3bobo$3309bobo$3311bo5b2o$3318b2o$3317bo2$9399b2o$
9398b2o$9400bo2$9402bo$3311bo6089b2o$3311b2o6088bobo$3310bobo5$3312bo$
3312b2o$3311bobo3$9413b2o4bo$9412b2o4b2o$3282b2o6130bo3bobo$3281bobo$
3283bo5b2o$3290b2o$3289bo2$9421b2o$9420b2o$9422bo2$9424bo$3283bo6139b
2o$3283b2o6138bobo$3282bobo5$3284bo$3284b2o$3283bobo3$9435b2o4bo$9434b
2o4b2o$3254b2o6180bo3bobo$3253bobo$3255bo5b2o$3262b2o$3261bo2$9443b2o$
9442b2o$9444bo2$9446bo$3255bo6189b2o$3255b2o6188bobo$3254bobo5$3256bo$
3256b2o$3255bobo3$9457b2o4bo$9456b2o4b2o$3226b2o6230bo3bobo$3225bobo$
3227bo5b2o$3234b2o$3233bo2$9465b2o$9464b2o$9466bo2$9468bo$3227bo6239b
2o$3227b2o6238bobo$3226bobo5$3228bo$3228b2o$3227bobo3$9479b2o4bo$9478b
2o4b2o$3198b2o6280bo3bobo$3197bobo$3199bo5b2o$3206b2o$3205bo2$9487b2o$
9486b2o$9488bo2$9490bo$3199bo6289b2o$3199b2o6288bobo$3198bobo5$3200bo$
3200b2o$3199bobo4$3159b2o$3158bobo$3160bo33$9542bo$3140b3o6398b2o$
3142bo6398bobo$3141bo2$3138bo$3138b2o$3131b3o3bobo6411b2o$3133bo6416b
2o$3132bo6419bo26$9625b3o$9625bo$9626bo$9630b2o$9629b2o$3149bo6481bo$
3149b2o$3148bobo$9647b2o$9646b2o$9648bo3$3139b3o$3141bo$3140bo6506b2o$
9646b2o$9648bo4$3123b3o$3125bo$3124bo4$3125b2o$3124bobo$3126bo$9649b3o
$9649bo$9650bo$3115bo$3115b2o$3114bobo6$9662b2o$9662bobo$9662bo5$9656b
o$9655b2o$9655bobo4$9665b3o$9665bo$9666bo3$3092b2o$3093b2o6573b2o$
3092bo6574b2o$9669bo5$9667b2o$9666b2o$9668bo6$3020b3o$3022bo$3021bo$
3016b2o$3017b2o$3016bo6631bo$9647b2o$9647bobo$2999b2o$3000b2o$2999bo3$
9656b3o$9656bo$2999b2o6656bo$3000b2o$2999bo4$9672b3o$9672bo$9673bo4$
9671b2o$9671bobo$9671bo$2996b3o$2998bo$2997bo$9682bo$9681b2o$9681bobo
6$2984b2o$2983bobo$2985bo5$2991bo$2991b2o$2990bobo4$2980b3o$2982bo$
2981bo3$9704b2o$2978b2o6723b2o$2979b2o6724bo$2978bo5$2979b2o$2980b2o$
2979bo41$9809b2o$9809bobo$2954b2o6853bo$2955b2o$2954bo5b2o6842b2o$
2959bobo6841b2o$2961bo6843bo7$9810bo$9809b2o$9809bobo2$2946bo6874b2o$
2946b2o6872b2o$2945bobo6874bo3$9817b3o$9817bo$9818bo2$2946bo$2946b2o$
2945bobo22$2862b2o$2861bobo$2863bo6953b2o$9816b2o$2867b2o6942b2o5bo$
2868b2o6941bobo$2867bo6943bo7$2862bo$2862b2o$2861bobo2$2850b2o6974bo$
2851b2o6972b2o$2850bo6974bobo3$2853b3o$2855bo$2854bo2$9826bo$9825b2o$
9825bobo18$9890b2o4bo$9889b2o4b2o$2859b2o7030bo3bobo$2858bobo$2860bo5b
2o$2867b2o$2866bo2$9898b2o$9897b2o$9899bo2$9901bo$2860bo7039b2o$2860b
2o7038bobo$2859bobo5$2861bo$2861b2o$2860bobo3$9912b2o4bo$9911b2o4b2o$
2831b2o7080bo3bobo$2830bobo$2832bo5b2o$2839b2o$2838bo2$9920b2o$9919b2o
$9921bo2$9923bo$2832bo7089b2o$2832b2o7088bobo$2831bobo5$2833bo$2833b2o
$2832bobo3$9934b2o4bo$9933b2o4b2o$2803b2o7130bo3bobo$2802bobo$2804bo5b
2o$2811b2o$2810bo2$9942b2o$9941b2o$9943bo2$9945bo$2804bo7139b2o$2804b
2o7138bobo$2803bobo5$2805bo$2805b2o$2804bobo3$9956b2o4bo$9955b2o4b2o$
2775b2o7180bo3bobo$2774bobo$2776bo5b2o$2783b2o$2782bo2$9964b2o$9963b2o
$9965bo2$9967bo$2776bo7189b2o$2776b2o7188bobo$2775bobo5$2777bo$2777b2o
$2776bobo3$9978b2o4bo$9977b2o4b2o$2747b2o7230bo3bobo$2746bobo$2748bo5b
2o$2755b2o$2754bo2$9986b2o$9985b2o$9987bo2$9989bo$2748bo7239b2o$2748b
2o7238bobo$2747bobo5$2749bo$2749b2o$2748bobo3$10000b2o4bo$9999b2o4b2o$
2719b2o7280bo3bobo$2718bobo$2720bo5b2o$2727b2o$2726bo2$10008b2o$10007b
2o$10009bo2$10011bo$2720bo7289b2o$2720b2o7288bobo$2719bobo5$2721bo$
2721b2o$2720bobo28$2651bo4b2o$2651b2o4b2o$2650bobo3bo7380b2o$10037bobo
$10030b2o5bo$10029b2o$10031bo2$2648b2o$2649b2o$2648bo2$2646bo$2646b2o
7389bo$2645bobo7388b2o$10036bobo5$10036bo$10035b2o$10035bobo3$2629bo4b
2o$2629b2o4b2o$2628bobo3bo7430b2o$10065bobo$10058b2o5bo$10057b2o$
10059bo2$2626b2o$2627b2o$2626bo2$2624bo$2624b2o7439bo$2623bobo7438b2o$
10064bobo5$10064bo$10063b2o$10063bobo3$2607bo4b2o$2607b2o4b2o$2606bobo
3bo7480b2o$10093bobo$10086b2o5bo$10085b2o$10087bo2$2604b2o$2605b2o$
2604bo2$2602bo$2602b2o7489bo$2601bobo7488b2o$10092bobo5$10092bo$10091b
2o$10091bobo3$2585bo4b2o$2585b2o4b2o$2584bobo3bo7530b2o$10121bobo$
10114b2o5bo$10113b2o$10115bo2$2582b2o$2583b2o$2582bo2$2580bo$2580b2o
7539bo$2579bobo7538b2o$10120bobo5$10120bo$10119b2o$10119bobo3$2563bo4b
2o$2563b2o4b2o$2562bobo3bo7580b2o$10149bobo$10142b2o5bo$10141b2o$
10143bo2$2560b2o$2561b2o$2560bo2$2558bo$2558b2o7589bo$2557bobo7588b2o$
10148bobo5$10148bo$10147b2o$10147bobo3$2541bo4b2o$2541b2o4b2o$2540bobo
3bo7630b2o$10177bobo$10170b2o5bo$10169b2o$10171bo2$2538b2o$2539b2o$
2538bo2$2536bo$2536b2o7639bo$2535bobo7638b2o$10176bobo5$10176bo$10175b
2o$10175bobo7$10246b2o$2544b2o7699b2o$2545b2o7700bo$2544bo$2535b2o
7693b2o5b2o$2534bobo7692b2o6bobo$2536bo7694bo5bo2$2543bo7689b2o$2543b
2o7687b2o$2542bobo7689bo2$10242b3o$10242bo5bo3b3o$10243bo3b2o3bo$
10247bobo3bo11$10246b2o$2516b2o7727b2o$2517b2o7728bo$2516bo2$2521b2o$
2520bobo$2522bo17$2425b2o$2426b2o7799b2o$2425bo7800b2o$10228bo$2434b2o
5b2o7793b2o$2433bobo6b2o7792bobo$2435bo5bo7794bo2$2438b2o7789bo$2439b
2o7787b2o$2438bo7789bobo2$2428b3o$2418b3o3bo5bo$2420bo3b2o3bo$2419bo3b
obo11$2425b2o$2426b2o7827b2o$2425bo7828b2o$10256bo2$10250b2o$10250bobo
$10250bo11$10315bo$2439b2o7873b2o$2440b2o7872bobo$2439bo2$10312bo$
10311b2o$10311bobo$10319b3o$10319bo$10314b2o4bo$10313b2o$10315bo$2421b
2o7898b2o$2420bobo7898bobo$2422bo7898bo4$2410b2o7911b2o$2409bobo7910b
2o$2411bo7912bo7$10343b2o$10343bobo$10343bo8$2399bo7949b2o$2399b2o
7947b2o$2398bobo7949bo3$10346b2o$10345b2o$10347bo6b2o$10354bobo$10349b
o4bo$10348b2o$10348bobo2$2380b3o7972b3o$2382bo7972bo$2381bo7974bo3$
10358bo$2369b3o7985b2o$2371bo7985bobo$2370bo7$10377b3o$10377bo$10378bo
7$10384bo$2358b2o8023b2o$2359b2o8022bobo$2358bo2$10381bo$10380b2o$
10380bobo$10388b3o$10388bo$10383b2o4bo$10382b2o$10384bo$2340b2o8048b2o
$2339bobo8048bobo$2341bo8048bo4$2329b2o8061b2o$2328bobo8060b2o$2330bo
8062bo7$10412b2o$10412bobo$10412bo8$2318bo8099b2o$2318b2o8097b2o$2317b
obo8099bo3$10415b2o$10414b2o$10416bo6b2o$10423bobo$10418bo4bo$10417b2o
$10417bobo2$2299b3o8122b3o$2301bo8122bo$2300bo8124bo3$10427bo$2288b3o
8135b2o$2290bo8135bobo$2289bo7$10446b3o$10446bo$10447bo7$2257bo$2257b
2o8173b2o$2256bobo8172b2o$10433bo2$2260bo$2260b2o$2259bobo$2251b3o$
2253bo$2252bo4b2o$2258b2o$2257bo$2250b2o8198b2o$2249bobo8198bobo$2251b
o8198bo4$2248b2o8211b2o$2249b2o8210bobo$2248bo8212bo7$2228b2o$2227bobo
$2229bo8$2222b2o8249bo$2223b2o8247b2o$2222bo8249bobo3$2225b2o$2226b2o$
2217b2o6bo$2216bobo$2218bo4bo$2223b2o$2222bobo2$2215b3o8272b3o$2217bo
8272bo$2216bo8274bo3$2214bo$2214b2o8285b3o$2213bobo8285bo$10502bo7$
2193b3o$2195bo$2194bo7$2188bo$2188b2o8323b2o$2187bobo8322b2o$10514bo2$
2191bo$2191b2o$2190bobo$2182b3o$2184bo$2183bo4b2o$2189b2o$2188bo$2181b
2o8348b2o$2180bobo8348bobo$2182bo8348bo4$2179b2o8361b2o$2180b2o8360bob
o$2179bo8362bo7$2159b2o$2158bobo$2160bo8$2153b2o8399bo$2154b2o8397b2o$
2153bo8399bobo3$2156b2o$2157b2o$2148b2o6bo$2147bobo$2149bo4bo$2154b2o$
2153bobo2$2146b3o8422b3o$2148bo8422bo$2147bo8424bo3$2145bo$2145b2o
8435b3o$2144bobo8435bo$10583bo7$2124b3o$2126bo$2125bo19$10605b2o$
10604b2o$2105b2o8499bo$2106b2o$2105bo2$10605b3o$10605bo$10606bo2$2106b
o$2106b2o$2105bobo8519bo$10626b2o$10626bobo2$2105b2o$2104bobo$2106bo3$
10624b2o$10623b2o$10625bo2$2085b2o$2084bobo$2086bo$10625b2o$10625bobo$
10625bo3$2085b3o$2087bo$2086bo2$10648b2o$10647b2o$10649bo$2084b2o$
2066b2o17b2o$2065bobo3bo12bo$2067bo3b2o$2070bobo$10644b3o$10644bo$
10645bo6$10647b2o$10646b2o$10648bo20b2o$10665bo3bobo$10664b2o3bo$
10664bobo$2062b3o$2064bo$2063bo6$2060b2o$2046b2o13b2o$2047b2o11bo$
2046bo$2034b3o8649b3o$2036bo8637bo11bo$2035bo8637b2o12bo$10673bobo2$
2045b3o$2047bo$2046bo8639bo$10685b2o$10685bobo21$1978bo$1978b2o$1977bo
bo9b3o$1991bo$1990bo8697b3o$10688bo$1985b3o8701bo$1987bo$1986bo3$1979b
o4b2o$1979b2o4b2o$1978bobo3bo8720b2o$1974b2o8729bobo$1975b2o8721b2o5bo
$1974bo8722b2o$10699bo3$1975b3o$1977bo$1976bo2$1973b2o$1972bobo8730b2o
$1974bo8730bobo$10705bo5$10704b2o$1951bo8752bobo9b2o$1951b2o8751bo10b
2o$1950bobo8764bo2$1945b3o$1947bo$1946bo2$10713b2o$10712b2o$10714bo$
1940b2o$1939bobo$1941bo4$10794bo$10793b2o$10781b3o9bobo$10781bo$1982b
3o8797bo$1984bo$1983bo8801b3o$10785bo$10786bo3$10787b2o4bo$10786b2o4b
2o$1966b2o8820bo3bobo$1965bobo8829b2o$1967bo5b2o8821b2o$1974b2o8822bo$
1973bo3$10795b3o$10795bo$10796bo2$10798b2o$1966b2o8830bobo$1965bobo
8830bo$1967bo5$1967b2o$1955b2o9bobo8852bo$1956b2o10bo8851b2o$1955bo
8864bobo2$10825b3o$10825bo$10826bo2$1958b2o$1959b2o$1958bo$10831b2o$
10831bobo$10831bo20$1877bo4b2o$1877b2o4b2o$1876bobo3bo8930b2o$10813bob
o$10806b2o5bo$10805b2o$10807bo2$1874b2o$1875b2o$1874bo2$1872bo$1872b2o
8939bo$1871bobo8938b2o$10812bobo5$10812bo$10811b2o$10811bobo3$1855bo4b
2o$1855b2o4b2o$1854bobo3bo8980b2o$10841bobo$10834b2o5bo$10833b2o$
10835bo2$1852b2o$1853b2o$1852bo2$1850bo$1850b2o8989bo$1849bobo8988b2o$
10840bobo5$10840bo$10839b2o$10839bobo3$1833bo4b2o$1833b2o4b2o$1832bobo
3bo9030b2o$10869bobo$10862b2o5bo$10861b2o$10863bo2$1830b2o$1831b2o$
1830bo2$1828bo$1828b2o9039bo$1827bobo9038b2o$10868bobo5$10868bo$10867b
2o$10867bobo7$10918b2o4bo$10917b2o4b2o$1829b2o9088bo3bobo$1828bobo$
1830bo5b2o$1837b2o$1836bo2$10926b2o$10925b2o$10927bo2$10929bo$1830bo
9097b2o$1830b2o9096bobo$1829bobo5$1831bo$1831b2o$1830bobo3$10940b2o4bo
$10939b2o4b2o$1801b2o9138bo3bobo$1800bobo$1802bo5b2o$1809b2o$1808bo2$
10948b2o$10947b2o$10949bo2$10951bo$1802bo9147b2o$1802b2o9146bobo$1801b
obo5$1803bo$1803b2o$1802bobo3$10962b2o4bo$10961b2o4b2o$1773b2o9188bo3b
obo$1772bobo$1774bo5b2o$1781b2o$1780bo2$10970b2o$10969b2o$10971bo2$
10973bo$1774bo9197b2o$1774b2o9196bobo$1773bobo5$1775bo$1775b2o$1774bob
o5$10955b2o$10955bobo$10955bo23$1741b2o$1740bobo$1742bo23$11053bo$
1711b2o9339b2o$1712b2o9338bobo$1711bo2$11050bo$11049b2o$11049bobo$
11057b3o$11057bo$11052b2o4bo$11051b2o$11053bo$1693b2o9364b2o$1692bobo
9364bobo$1694bo9364bo4$1682b2o9377b2o$1681bobo9376b2o$1683bo9378bo7$
11081b2o$11081bobo$11081bo8$1671bo9415b2o$1671b2o9413b2o$1670bobo9415b
o3$11084b2o$11083b2o$11085bo6b2o$11092bobo$11087bo4bo$11086b2o$11086bo
bo2$1652b3o9438b3o$1654bo9438bo$1653bo9440bo3$11096bo$1641b3o9451b2o$
1643bo9451bobo$1642bo7$11115b3o$11115bo$11116bo7$11122bo$1630b2o9489b
2o$1631b2o9488bobo$1630bo2$11119bo$11118b2o$11118bobo$11126b3o$11126bo
$11121b2o4bo$11120b2o$11122bo$1612b2o9514b2o$1611bobo9514bobo$1613bo
9514bo4$1601b2o9527b2o$1600bobo9526b2o$1602bo9528bo7$11150b2o$11150bob
o$11150bo8$1556b2o9565bo$1557b2o9563b2o$1556bo9565bobo3$1559b2o$1560b
2o$1551b2o6bo$1550bobo$1552bo4bo$1557b2o$1556bobo2$1549b3o9588b3o$
1551bo9588bo$1550bo9590bo3$1548bo$1548b2o9601b3o$1547bobo9601bo$11152b
o7$1527b3o$1529bo$1528bo7$1522bo$1522b2o9639b2o$1521bobo9638b2o$11164b
o2$1525bo$1525b2o$1524bobo$1516b3o$1518bo$1517bo4b2o$1523b2o$1522bo$
1515b2o9664b2o$1514bobo9664bobo$1516bo9664bo4$1513b2o9677b2o$1514b2o
9676bobo$1513bo9678bo7$1493b2o$1492bobo$1494bo8$1487b2o9715bo$1488b2o
9713b2o$1487bo9715bobo3$1490b2o$1491b2o$1482b2o6bo$1481bobo$1483bo4bo$
1488b2o$1487bobo2$1480b3o9738b3o$1482bo9738bo$1481bo9740bo3$1479bo$
1479b2o9751b3o$1478bobo9751bo$11233bo7$1458b3o$1460bo$1459bo9$1476b3o$
1478bo$1477bo9793b3o$11271bo$11272bo$1476bo$1476b2o$1475bobo$1470b3o$
1472bo$1471bo2$11279b2o$11278b2o$11280bo$1450b2o3b2o12b2o$1449bobo2bob
o13b2o$1451bo4bo12bo3$11269b3o$11269bo$11270bo3$11295b2o$11294b2o$
11296bo3$11294b3o$11294bo$11295bo2$1459b2o$1460b2o$1459bo64$11344b3o$
11344bo$1349b3o9993bo$1351bo$1350bo$11346bo$11345b2o$11345bobo$11350b
3o$11350bo$11351bo2$1342b2o$1343b2o$1342bo$11352b2o12b2o3b2o$11351b2o
13bobo2bobo$11353bo12bo4bo3$1351b3o$1353bo$1352bo3$1326b2o$1327b2o$
1326bo3$1326b3o$1328bo$1327bo2$11362b2o$11361b2o$11363bo59$1223b2o$
1222bobo$1224bo2$1226bo$1226b2o$1225bobo6$1225b2o$1226b2o$1225bo11$
11523b2o$11523bobo$11523bo2$11521bo$11520b2o$11520bobo6$11521b2o$
11520b2o$11522bo22$1175b2o$1174bobo$1176bo10319b2o$11495b2o$1180b2o
10308b2o5bo$1181b2o10307bobo$1180bo10309bo7$1175bo$1175b2o$1174bobo2$
1163b2o10340bo$1164b2o10338b2o$1163bo10340bobo3$1166b3o$1168bo$1167bo
2$11505bo$11504b2o$11504bobo22$11596b2o$11596bobo$1175b2o10419bo$1176b
2o$1175bo5b2o10408b2o$1180bobo10407b2o$1182bo10409bo7$11597bo$11596b2o
$11596bobo2$1167bo10440b2o$1167b2o10438b2o$1166bobo10440bo3$11604b3o$
11604bo$11605bo2$1167bo$1167b2o$1166bobo18$1089bo4b2o$1089b2o4b2o$
1088bobo3bo10496b2o$11591bobo$11584b2o5bo$11583b2o$11585bo2$1086b2o$
1087b2o$1086bo2$1084bo$1084b2o10505bo$1083bobo10504b2o$11590bobo5$
11590bo$11589b2o$11589bobo3$1067bo4b2o$1067b2o4b2o$1066bobo3bo10546b2o
$11619bobo$11612b2o5bo$11611b2o$11613bo2$1064b2o$1065b2o$1064bo2$1062b
o$1062b2o10555bo$1061bobo10554b2o$11618bobo5$11618bo$11617b2o$11617bob
o3$11677b2o4bo$11676b2o4b2o$1080b2o10596bo3bobo$1079bobo$1081bo5b2o$
1088b2o$1087bo2$11685b2o$11684b2o$11686bo2$11688bo$1081bo10605b2o$
1081b2o10604bobo$1080bobo5$1082bo$1082b2o$1081bobo3$11699b2o4bo$11698b
2o4b2o$1052b2o10646bo3bobo$1051bobo$1053bo5b2o$1060b2o$1059bo2$11707b
2o$11706b2o$11708bo2$11710bo$1053bo10655b2o$1053b2o10654bobo$1052bobo
5$1054bo$1054b2o$1053bobo7$11758b2o$1040b2o10715b2o$1041b2o10716bo$
1040bo$1031b2o10709b2o5b2o$1030bobo10708b2o6bobo$1032bo10710bo5bo2$
1039bo10705b2o$1039b2o10703b2o$1038bobo10705bo2$11754b3o$11754bo5bo3b
3o$11755bo3b2o3bo$11759bobo3bo11$11758b2o$1012b2o10743b2o$1013b2o
10744bo$1012bo2$1017b2o$1016bobo$1018bo17$913b2o$914b2o10815b2o$913bo
10816b2o$11732bo$922b2o5b2o10809b2o$921bobo6b2o10808bobo$923bo5bo
10810bo2$926b2o10805bo$927b2o10803b2o$926bo10805bobo2$916b3o$906b3o3bo
5bo$908bo3b2o3bo$907bo3bobo11$913b2o$914b2o10843b2o$913bo10844b2o$
11760bo2$11754b2o$11754bobo$11754bo13$934b3o$936bo$935bo10893b3o$
11829bo$11830bo$934bo$934b2o$933bobo$928b3o$930bo$929bo2$11837b2o$
11836b2o$11838bo$908b2o3b2o12b2o$907bobo2bobo13b2o$909bo4bo12bo3$
11827b3o$11827bo$11828bo3$11853b2o$11852b2o$11854bo3$11852b3o$11852bo$
11853bo2$917b2o$918b2o$917bo64$11886b3o$11886bo$791b3o11093bo$793bo$
792bo$11888bo$11887b2o$11887bobo$11892b3o$11892bo$11893bo2$784b2o$785b
2o$784bo$11894b2o12b2o3b2o$11893b2o13bobo2bobo$11895bo12bo4bo3$793b3o$
795bo$794bo3$768b2o$769b2o$768bo3$768b3o$770bo$769bo2$11904b2o$11903b
2o$11905bo73$12061b2o$12061bobo$12061bo5$733b2o11328b3o$732bobo11316b
2o10bo$734bo11316bobo10bo$12051bo2$12047bo$12046b2o$12046bobo5$12056b
2o$707b3o11346bobo$709bo11346bo8b2o$708bo11355b2o$12066bo$704b3o$706bo
10b2o$705bo10bobo$718bo11350b2o$12068b2o$12070bo21$610b2o$609bobo$611b
o5$607b3o11428b2o$609bo10b2o11416bobo$608bo10bobo11416bo$621bo2$625bo$
625b2o$624bobo5$615b2o$614bobo11446b3o$606b2o8bo11446bo$607b2o11455bo$
606bo$12066b3o$12054b2o10bo$12054bobo10bo$602b2o11450bo$603b2o$602bo
10$12112b2o$12111b2o$618b2o11493bo$617bobo$619bo8$597bo$597b2o$596bobo
$12115b3o$12115bo$12116bo10$12145b2o$12144b2o$601b2o11543bo$600bobo$
602bo8$564bo$564b2o$563bobo$12132b3o$12132bo$12133bo5$12207bo$12206b2o
$12206bobo3$12178b2o$12177b2o40b2o$584b2o11593bo38b2o$583bobo11634bo$
585bo8$531bo11696bo$531b2o11694b2o$530bobo11694bobo$12149b3o$12149bo$
12150bo3$490bo$490b2o$489bobo4$477b2o$478b2o$477bo9$469bo$469b2o$468bo
bo26$12279b3o$12279bo$12280bo10$429b2o$428bobo$430bo3$12287bo$12286b2o
$12286bobo10$12308b3o$422b2o11884bo$423b2o11884bo$422bo9$400b2o$399bob
o$401bo3$12316bo$12315b2o$12315bobo10$12337b3o$393b2o11942bo$394b2o
11942bo$393bo9$371b2o$370bobo$372bo3$12345bo$12344b2o$12344bobo10$
12366b3o$364b2o12000bo$365b2o12000bo$364bo9$342b2o$341bobo$343bo3$
12374bo$12373b2o$12373bobo11$335b2o$336b2o$335bo12070b2o$12406bobo$
12406bo13$300b2o$299bobo$301bo$12413b2o$12412b2o$12414bo13$293b2o$294b
2o$293bo3$12444b2o$12444bobo$12444bo13$262b2o$261bobo$263bo$12451b2o$
12450b2o$12452bo13$255b2o$256b2o$255bo35$308b3o$310bo$309bo2$12457b2o
5b2o$12456b2o6bobo$12458bo5bo4$12502bo$12501b2o$12474b3o24bobo$12474bo
13b3o$12475bo12bo$12489bo$295b2o12202b3o$296b2o12181b2o18bo$295bo
12183bobo18bo$12479bo17$280bo$280b2o12236b3o$279bobo12236bo$12519bo2$
282b3o$284bo$283bo44$12500b2o$12500bobo$12500bo2$177bo$169b3o5b2o$171b
o4bobo$170bo4$132b2o$133b2o24b2o$132bo12b2o11bobo$144bobo13bo$146bo$
134b2o12378bo$133bobo12377b2o$135bo18b3o12356bobo$156bo$155bo17$115b2o
12412b2o$114bobo12411b2o$116bo12413bo2$12526b2o$12526bobo$12526bo18$
139b3o12466bo$141bo12465b2o$140bo12466bobo10$12594b2o$101b2o12491bobo$
102b2o12490bo$101bo12$122b3o12516bo$124bo12515b2o$123bo12516bobo10$
12611b2o$68b2o12541bobo$69b2o12540bo$68bo8$18b2o12683b2o$17bobo12683bo
bo$19bo12683bo5$68b2o$67bobo$69bo$12647b3o$12647bo$12648bo$b2o12717b2o
$obo12717bobo$2bo12717bo$22bo39b2o12598b2o36bo$22b2o37bobo12598bobo34b
2o$21bobo39bo12598bo36bobo3$32b2o12655b2o$33b2o13b2o9b2o12612b2o13b2o$
32bo16b2o9b2o12610b2o16bo$40b2o6bo10bo12614bo6b2o$41b2o12637b2o$40bo
12641bo2$20bo12681bo$20b2o12679b2o$19bobo12679bobo9$25b3o12667b3o$27bo
12667bo$17b3o6bo12669bo6b3o$19bo12683bo$9b3o6bo12685bo6b3o$11bo12699bo
$10bo12701bo!
#C [[ MAXGRIDSIZE 14 ]]
#C [[ THEME Day AUTOSTART ]]
#C [[ T 0 STEP 1 GPS 1 PAUSE 1 ]]  (this just gets the initial zoom in to happen without missing too much action)
#C [[ T 100 Z 3 GPS 60 ]]
#C [[ T 1000 Z 5 STEP 9 ]]
#C [[ T 2000 THEME Book ]]
#C [[ T 3000 STEP 64 ]]
#C [[ T 22905 Z 2 THEME Inverse PAUSE 2 ]]
#C [[ T 24000 Z 3 STEP 1 PAUSE 2 ]]
#C [[ T 25083 THEME Day PAUSE 2 ]]
#C [[ T 25250 THEME Fire ]]
#C [[ T 26000 X 0 Y -400 Z 4 THEME Blues ]]
dvgrn wrote:
June 27th, 2021, 11:14 am
My question is, how many more gliders are needed to build greyship #N+1 in this series, compared to greyship #N?
I made a graph to visualise the increase in cost:
greyship-synthesis-graph.png
greyship-synthesis-graph.png (33.66 KiB) Viewed 3084 times

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dvgrn
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Re: Small Spaceship Syntheses

Post by dvgrn » October 13th, 2021, 12:24 pm

Congratulations on a very impressive script! It implied an irresistible trivial math problem.

The formula for the number of gliders needed by Greyship N is

84N^2 + 371.5N + 204

... minus forty-three and a half gliders if N is odd, so 84N^2 + 371.5N + 204 - 43.5*MOD(N,2).

That kind of obfuscates the derivation of the formula, though. My original form for even-numbered N was

1079*N/2 + (N/2)(N/2-1)*336 + 204

The first greyship that needs over a million gliders is N=107, at the low low cost of 1001627G. Canada Grey #108 needs 1020102 gliders, which is divisible by ten thousand and one, but if that's significant I can't figure out why. It happens again with Canada Grey #930 at a cost of 72997299 gliders.

Canada Grey #3449 needs a billion gliders, give or take a half million: 1,000,511,948G.

EDIT: Looks like every time you add two to N, you get three additional construction "scans" in the main body of the greyship: two single scans moving from right to left, followed by two more back-and-forth double scans. So every time you add one to N, I guess you get three more stripes, more or less? It's hard to sort out because the even and odd greyship recipes are a bit different.

A handy trick is to copy two different-sized greyship recipes into the same universe in Golly, then clone the universe (the = button, not ||). Tile the two layers, then zoom in on the two construction points, one in each layer. Makes it easy to see when the two recipes diverge.

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Pavgran
Posts: 220
Joined: June 12th, 2019, 12:14 pm

Re: Small Spaceship Syntheses

Post by Pavgran » October 14th, 2021, 6:57 am

dvgrn wrote:
October 13th, 2021, 12:24 pm
The formula for the number of gliders needed by Greyship N is

84N^2 + 371.5N + 204

... minus forty-three and a half gliders if N is odd, so 84N^2 + 371.5N + 204 - 43.5*MOD(N,2).
Or, with slight reformulation:

84N^2 + 328N + 87⌊N/2⌋ + 204

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