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Implications of a Three-Glider Switch Engine

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

Implications of a Three-Glider Switch Engine

Postby dvgrn » March 24th, 2017, 9:01 pm

There's a big pile of old Cordership guns and related mechanisms that are suddenly in need of an update, after AbhpzTa's recent discovery that a switch engine can be built with just three gliders. Actually most of them were probably in need of an update anyway, but now suddenly they're really far behind the curve.

Calcyman's glider-to-Cordership converter can be shrunk to a small fraction of its current size, for example. It was invented back in the Dark Ages before Snarks and syringes:

x = 1859, y = 1919, rule = B3/S23
1024b2o$1025bo$1025bobo$1026b2o6$1025b2o$1025b2o4b2o$1031b2o4$1030b2o$
1026b2o2b2o$1025bobo11b2o$1025bo12bobo$1024b2o12bo$1037b2o$1030b2o$
1031bo2b2o$1031bobobo$1032bo2$1034bo$1033bobo$1034bo$1031b3o$612bo418b
o$600bo11b3o$598b3o14bo$582bo14bo16b2o$582b3o12b2o$585bo52bo$584b2o50b
3o13bo$635bo16b3o$623bo11b2o18bo$585b2o34b3o30b2o$585b2o17b2o15bo$604b
2o15bo56bo$676b3o13bo348bo$675bo16b3o345bobo$663bo11b2o18bo343bo2bo$
661b3o30b2o344b2o$644b2o15bo$601b2o41b2o15bo56bo$601bo19b2o93b3o13bo$
602b3o15bobo92bo16b3o$588b2o14bo15bo82bo11b2o18bo326b2o$589bo8b2o19b2o
10b2o68b3o30b2o326b2o$589b3o6bo33bo51b2o15bo356b2o$599b3o27b3o9b2o41b
2o15bo56bo299b2o$601bo27bo11bo19b2o93b3o13bo271b2o$642bo17bobo92bo16b
3o269b2o$641b2o17bo82bo11b2o18bo$659b2o10b2o68b3o30b2o$582b2o88bo51b2o
15bo$581bobo85b3o9b2o41b2o15bo56bo$581bo87bo11bo19b2o93b3o13bo229bo$
580b2o100bo17bobo92bo16b3o217b2o7bobo$681b2o17bo82bo11b2o18bo23b2o191b
2o7bobo$699b2o10b2o68b3o30b2o23bo202bo11b2o$712bo51b2o15bo55bobo122b2o
90bo$709b3o9b2o41b2o15bo51b2o2b2o124bo91b3o$709bo11bo19b2o90b2o127bo
94bo$722bo17bobo219b2o12bo75b2o$590b2o129b2o17bo82bo136b2o12b3o75b2o$
590b2o147b2o10b2o68b3o135bo2b4o7bo$752bo51b2o15bo137bobo4bo6b2o$597bob
2o148b3o9b2o41b2o15bo135b3ob2o2b2o$597b2obo148bo11bo19b2o173bo$762bo
17bobo170bo2b4ob2o$761b2o17bo172b3o3bob2o$579b2o198b2o10b2o163bo$580bo
211bo162b2o$580bobo206b3o9b2o36b2o156b2o$581b2o206bo11bo19b2o16bobo90b
2o63bo$802bo17bobo18bo91bo61bobo$801b2o17bo20b2o89bo58b2o2b2o$595b2o
222b2o4b2o105b2o57b2o$595bobo226bobo97bo$597bo226bo99b3o172b2o$597b2o
224b2o7b2o93bo172bo$832b2o92b2o172bobo$1101b2o$935b2o15bo$935b2o15bo$
952b3o$582b2o317b2o51bo$583bo8b2o307b2o5b2o$583b3o6bo249b2o64b2o57b2o
28b2o101b2o$593b3o246bo118b2o4bobo9b2o16bobo100b2o4b2o$595bo244bobo44b
o74bo6bo8bobo18bo106b2o$840b2o35b2o8b3o16b2o37b2o12b3o7b2o7bo20b2o$
877b2o11bo15b2o38bo12bo17b2o4b2o$889b2o21b2o29b3o36bobo$576b2o334b2o
29bo38bo122b2o$575bobo293b2o68bobo37b2o7b2o109b2o2b2o$575bo246b2o47b2o
68b2o47b2o108bobo11b2o$574b2o247bo8b3o40b2o223bo12bobo$823bobo8bo40b2o
15bo206b2o12bo$824b2o8b2o56bo24b2o193b2o$816bo75b3o22bobob2o18b2o162b
2o$810b2o4b3o75bo24bob2o18bobo162bo2b2o$811bo7bo50b2o46bo24bo162bobobo
$811bobo4b2o50b2o46b2ob2o20b2o162bo$584b2o226b2o25b2o78bobo$584b2o253b
o79bobo187bo$806b2o29bobo80b2ob2o183bobo$591bob2o212bo29b2o76b2o5bobo
184bo$591b2obo212bobo94b3o8bo6bo14b2o167b3o$808b2o94bo8bobo5b2o14bo41b
2o125bo$903b2o8b2o20b3o42bo$573b2o405bobo$574bo406b2o$574bobo376bo$
575b2o299b2o73b3o$875bobo72bo$875bo74b2o$589b2o283b2o$589bobo298b2o$
591bo298bobo33bo$591b2o299bo33b3o66b2o$892b2o35bo62b2o2bo119bo$912b2o
14b2o23b2o37bob2o119bobo$896b2o14b2o36b2o2bo39bo119bo2bo$897bo22b2o28b
ob2o32b2o4bobo120b2o$894b3o23bo31bo33bo5b2o$576b2o237b3o76bo23bobo31bo
34bo$577bo8b2o229bo100b2o7b2o18b2obob2o32b2o$577b3o6bo230b2o63b2o19bo
22bobo18b2ob2o2bo$587b3o292b2o19b3o20bo26bo183b2o$589bo316bo18b2o20b2o
b3o184b2o$873b2obo28b2o41bobo182b2o$873bob2o71bo184b2o$910b3o32b2ob2o
169b2o$570b2o229b2o109bo32bobo98b2o71b2o$569bobo230bo109b2o17b2o14bo
99bo$569bo232bobo127bo14b2o97bo$568b2o233b2o127b3o111b2o12bo$827b2o
215b2o12b3o$827b2o49bo164bo2b4o7bo59bo$877bobo163bobo4bo6b2o48b2o7bobo
$877b2o162b3ob2o2b2o56b2o7bobo$898b2o140bo76bo11b2o$898b2o137bo2b4ob2o
82bo$578b2o342bo114b3o3bob2o83b3o$578b2o245b2o93b3o77bo39bo91bo$825bo
94bo79b3o36b2o86b2o$585bob2o237b3o74b2o15bo82bo12bo64b2o44b2o$585b2obo
239bo74b2o97b2o12b3o7b2o53bo$826b2o71b2o118bo6bo52bobo$826bo72b2o72bo
8b2o34b2o4bobo48b2o2b2o$567b2o255bobo90b2o21b2o22b2o7b3o5bob3o38b2o49b
2o$568bo255b2o90bobo21b2o23bo10bo4bo4bo$568bobo334b2o9bo17b2o28bo10bo
3bobo3b2o11b2o11bo$569b2o334b2o8b2o17b2o28b2o8bo3bobo17b2o9b3o$901b2o
46bo6bo17b2o3bo29bo$901b2o45bobo5b3o50bo$583b2o221b2o89b2o37b2o10bobo
8bo76bo$583bobo221bo89b2o30b2o5b2o8b3ob2o6b2o76bo$585bo221bobo73b2o44b
2o14bo90b3o$585b2o221b2o73b2o61b3ob2o15b2o15bo53bo$948bob2o15b2o15bo$
984b3o64b2o28b2o$986bo58b2o4bobo9b2o16bobo$982bo63bo6bo8bobo18bo$881bo
98bo62b3o7b2o7bo20b2o$570b2o299b2o7bobo62b2o96bo17b2o4b2o$571bo8b2o
289b2o7bobo63bo32bo32b2o52bobo$571b3o6bo300bo11b2o51bobo28bo35bo52bo$
581b3o309bo53b2o50b2o9b3o3bob2o45b2o7b2o$583bo310b3o102bobo8bo2b4ob2o
54b2o$896bo104bo11bo$809b2o15b2o63b2o108b2o12b2ob2o2b2o6b2o$809b2o15bo
bo62b2o123bobo4bo6bobo$564b2o235b2o25bo187bo2b4o9bo$563bobo236bo25b2o
175bo11bobo2bobo7b2o$563bo238bobo175bo23bobo11bo4b2o$562b2o239b2o175bo
23bobo$978b3o9b2o11b2ob3o$956b2o20bo11b2o17bo$850bo106bo24bo20b2ob3o
179b2o$822bo27b3o103bo10b2o15bo18b2obo182bo$820b3o30bo63b2o37b2o5b2o2b
2o220bobo$819bo32b2o63bo44bobo20bo77b2o125b2o$572b2o245b2o94bobo44bo
24bo76bo$572b2o251bo47bo37b2o2b2o44b2o101bobo$823b3o47b3o35b2o59b2o91b
2o$579bob2o239bo53bo95b2o$579b2obo239b2o51b2o11b2o$888b2o299b2o$966b2o
46b2o173b2o4b2o$561b2o403b2o46b2o179b2o$562bo407b2o$562bobo405b2o$563b
2o260b2o252b2o$806b2o17b2o249b2o2bo113b2o$806b2o268bob2o110b2o2b2o$
577b2o338b2o46b2o111bo110bobo11b2o$577bobo319b2o16bobo45b2o34b2o67b2o
4bobo110bo12bobo$579bo225b2o91bobo18bo81bo68bo5b2o110b2o12bo$579b2o
225bo91bo20b2o81b3o66bo129b2o$803b3o12b2o77b2o4b2o99bo65b2o122b2o$803b
o14bo83bobo290bo2b2o$819b3o45b2o33bo292bobobo$821bo39b2o5bo32b2o7b2o
284bo$861bobob3o20b2o20b2o$564b2o288b2o7bobo22bo309bo$565bo8b2o278b2o
7b2o24b3o305bobo$565b3o6bo316bo306bo$575b3o393b2o222b3o$577bo392bobo
222bo$970bo$920b2o47b2o$920bo64b2o$558b2o358bobo64bobo$557bobo358b2o
67bo$557bo429b2o$556b2o4$910b3o$912bo292bo$912b2o63b2o225bobo$566b2o
409b2o224bo2bo$566b2o636b2o$968b2obo$573bob2o391bob2o$573b2obo$896b2o
243b2o$897bo244bo83b2o$555b2o340bobo241bo84b2o$556bo341b2o241b2o12bo
66b2o$556bobo363b2o215b2o12b3o66b2o$557b2o363b2o49bo164bo2b4o7bo55b2o$
972bobo163bobo4bo6b2o54b2o$972b2o162b3ob2o2b2o$571b2o562bo$571bobo558b
o2b4ob2o$573bo558b3o3bob2o$573b2o345b2o173bo39bo70bo$920bo174b3o36b2o
60b2o7bobo$921b3o174bo12bo64b2o18b2o7bobo$923bo173b2o12b3o7b2o53bo29bo
11b2o$921b2o191bo6bo52bobo41bo$921bo146bo8b2o34b2o4bobo48b2o2b2o43b3o$
558b2o359bobo137b2o7b3o5bob3o38b2o49b2o49bo$559bo8b2o349b2o139bo10bo4b
o4bo134b2o$559b3o6bo490bo10bo3bobo3b2o11b2o11bo109b2o$569b3o487b2o8bo
3bobo17b2o9b3o$571bo424b2o46bo6bo17b2o3bo29bo$996b2o45bobo5b3o50bo$
901b2o89b2o49bobo8bo76bo$902bo89b2o47b3ob2o6b2o76bo$552b2o348bobo73b2o
60bo90b3o$551bobo349b2o73b2o61b3ob2o15b2o15bo53bo$551bo491bob2o15b2o
15bo$550b2o527b3o64b2o28b2o$1081bo58b2o4bobo9b2o16bobo$1077bo63bo6bo8b
obo18bo$976bo98bo62b3o7b2o7bo20b2o$767b2o197b2o7bobo62b2o96bo17b2o4b2o
$767b2o197b2o7bobo63bo32bo32b2o52bobo$976bo11b2o51bobo28bo35bo52bo$
560b2o426bo53b2o50b2o9b3o3bob2o45b2o7b2o$560b2o427b3o102bobo8bo2b4ob2o
54b2o$991bo104bo11bo$567bob2o333b2o15b2o63b2o108b2o12b2ob2o2b2o6b2o$
567b2obo333b2o15bobo62b2o123bobo4bo6bobo123b2o$896b2o25bo187bo2b4o9bo
124bo$741bo155bo25b2o175bo11bobo2bobo7b2o123bobo$549b2o189bobo154bobo
175bo23bobo11bo4b2o133b2o$550bo189bobo155b2o175bo23bobo$550bobo186b2ob
2o16b2o311b3o9b2o11b2ob3o$551b2o207b2o289b2o20bo11b2o17bo$739b2ob2o
201bo106bo24bo20b2ob3o$740bob2o34b2o137bo27b3o103bo10b2o15bo18b2obo$
565b2o171bo39bobo134b3o30bo63b2o37b2o5b2o2b2o188b2o$565bobo170b2o40bo
133bo32b2o63bo44bobo20bo77b2o92b2o4b2o$567bo212b2o132b2o94bobo44bo24bo
76bo98b2o$567b2o351bo47bo37b2o2b2o44b2o101bobo$746b2o170b3o47b3o35b2o
59b2o91b2o$740b2o4b2o169bo53bo95b2o$739bobo27b2o146b2o51b2o11b2o272b2o
$739bo29bobo211b2o268b2o2b2o$738b2o31bo289b2o46b2o141bobo11b2o$552b2o
192b2o23b2o288b2o46b2o141bo12bobo$553bo8b2o182b2o317b2o184b2o12bo$553b
3o6bo502b2o15bo181b2o$563b3o354b2o160bo91b2o81b2o$565bo186bo148b2o17b
2o160b3o86b2o2bo82bo2b2o$751bobo147b2o181bo86bob2o83bobobo$752bo259b2o
46b2o111bo85bo$994b2o16bobo45b2o34b2o67b2o4bobo$546b2o352b2o91bobo18bo
81bo68bo5b2o88bo$545bobo353bo91bo20b2o81b3o66bo93bobo$545bo352b3o12b2o
77b2o4b2o99bo65b2o94bo$544b2o352bo14bo83bobo258b3o$914b3o45b2o33bo260b
o$916bo39b2o5bo32b2o7b2o$956bobob3o20b2o20b2o$949b2o7bobo22bo$949b2o7b
2o24b3o$986bo$554b2o510b2o$554b2o509bobo$1065bo$561bob2o450b2o47b2o$
561b2obo450bo64b2o131b2o$1013bobo64bobo131bo$1013b2o67bo130bo54bo$543b
2o537b2o129b2o12bo39bobo$544bo666b2o12b3o38bo2bo$544bobo663bo2b4o7bo
42b2o$545b2o663bobo4bo6b2o$1208b3ob2o2b2o$1005b3o199bo$559b2o446bo196b
o2b4ob2o$559bobo445b2o63b2o130b3o3bob2o75b2o$561bo510b2o133bo81b2o$
561b2o643b2o77b2o$1063b2obo181b2o35b2o$1063bob2o181bo22b2o$1246bobo22b
2o$991b2o195b2o52b2o2b2o$992bo195b2o52b2o$546b2o444bobo$547bo8b2o435b
2o$547b3o6bo460b2o163b2o85bo$557b3o457b2o49bo113b2o75b2o7bobo$559bo
507bobo116b2o71b2o7bobo$1067b2o117b2o15bo65bo11b2o$886b2o315bo77bo$
886b2o311bo3b3o76b3o$540b2o663bo78bo$539bobo473b2o164b2o18bo77b2o$539b
o475bo165b2o35b2o28b2o29b2o$538b2o476b3o184bo8b2o4bobo9b2o16bobo$1018b
o194bo6bo8bobo18bo$1016b2o192b3o7b2o7bo20b2o$1016bo193bo17b2o4b2o$860b
o153bobo216bobo$859bobo152b2o217bo$859bobo333b2o35b2o7b2o$548b2o308b2o
b2o16b2o314bo45b2o223bo$548b2o329b2o210b2o100b3o269bobo$858b2ob2o228b
2o373b2o$555bob2o300bob2o34b2o97b2o89b2o98b2o$555b2obo298bo39bobo97bo
89b2o97bobo$857b2o40bo97bobo73b2o111bo$899b2o97b2o73b2o110b2o$537b2o
662b2o$538bo326b2o334bobo254bo$538bobo318b2o4b2o336bo253bobo$539b2o
317bobo27b2o313b2o253b2o$858bo29bobo180bo$857b2o31bo170b2o7bobo$553b2o
310b2o23b2o169b2o7bobo157b2o$553bobo309b2o204bo11b2o146bo$555bo527bo
147bobo$555b2o527b3o145b2o216bo$871bo214bo106b2o254bobo$870bobo126b2o
15b2o63b2o110b2o255b2o$871bo127b2o15bobo62b2o$991b2o25bo165b2obo$992bo
25b2o164bob2o$540b2o450bobo207b2o$541bo8b2o441b2o207bo$541b3o6bo649bob
o43b2o194bo$551b3o646b2o41b2o2bo193bobo$553bo486bo202bob2o195b2o$1012b
o27b3o142bo59bo$1010b3o30bo63b2o76b3o49b2o4bobo$1009bo32b2o63bo68bo11b
o48bo5b2o$534b2o473b2o94bobo68b3o8b2o14bo34bo$533bobo479bo47bo37b2o2b
2o72bo22bobo32b2o$533bo479b3o47b3o35b2o59b2o14b2o23bo230bo$532b2o478bo
53bo95b2o269bobo$1012b2o51b2o11b2o354b2o$1078b2o$1156b2o$1156b2o$1160b
2o$1160b2o15bo20b2o$542b2o471b2o160bo20bobo225bo$542b2o452b2o17b2o160b
3o20bo224bobo$996b2o181bo11b2o7b2o224b2o$549bob2o554b2o46b2o34bo196b2o
$549b2obo536b2o16bobo45b2o35b3o193bobo$995b2o91bobo18bo84bo194bo$996bo
91bo20b2o$993b3o12b2o77b2o4b2o$993bo14bo83bobo323bo$1009b3o45b2o33bo
324bobo$1011bo39b2o5bo32b2o7b2o316b2o$547bo503bobob3o20b2o20b2o278b2o$
546bobo495b2o7bobo22bo301bobo$547b2o495b2o7b2o24b3o299bo$1081bo$1161b
2o$1160bobo247bo$1160bo248bobo$1110b2o47b2o249b2o$1110bo64b2o195b2o$
1004b2o102bobo64bobo194bobo$1004b2o102b2o67bo195bo$1177b2o2$1402bo$
1401bobo$1402b2o$523b2o575b3o261b2o$523b2o577bo261bobo$527b2o449bo123b
2o63b2o196bo$527b2o448bobo187b2o$541b2o434bobo$541b2o433b2ob2o16b2o
159b2obo232bo$997b2o159bob2o231bobo$976b2ob2o413b2o$977bob2o34b2o69b2o
268b2o$975bo39bobo69bo268bobo$544bo430b2o40bo69bobo267bo$543bobo7b2o
462b2o69b2o$543bobo7b2o557b2o$531b2o11bo438b2o127b2o49bo222bo$532bo
444b2o4b2o177bobo220bobo$529b3o444bobo27b2o154b2o222b2o$529bo52bo393bo
29bobo339b2o$533b2o45b3o392b2o31bo339bobo$533b2o44bo403b2o23b2o339bo$
569b2o8b2o402b2o125b2o$570bo539bo$570bobo538b3o264bo$571b2o416bo123bo
263bobo$585b2o401bobo120b2o265b2o$585b2o402bo121bo228b2o$1109bobo228bo
bo$527bo581b2o230bo$519bo6bobo$519b3o5bo57b2o$515b2o5bo62b2o599b2o182b
o$516bo4b2o663b2o181bobo$516bobo572b2o89b2o186b2o$517b2o573bo89b2o148b
2o$1092bobo73b2o162bobo200b2o$561b2o530b2o73b2o163bo201b2o$561b2o25b2o
$513b2o25b2o46bo$514bo25b2o44bobo773bo170b2o$514bobo69b2o773bobo169b2o
$515b2o649bo195b2o156b2o$1156b2o7bobo156b2o195bo$1156b2o7bobo156bobo
194bobo$528b2o636bo11b2o145bo196b2o$528bobo6b2o639bo339b2o$530bo6bo
641b3o336b2o$530b2o6bo642bo172bo$537b2o555b2o15b2o63b2o175bobo$1094b2o
15bobo62b2o176b2o$1086b2o25bo202b2o$1087bo25b2o201bobo$567b2obo516bobo
227bo$516b2o8b2o39bob2o517b2o441b2o$517bo8bobo1002b2o$517b3o8bo817bo
177b2o$528b2o53b2o550bo209bobo175bo2bo15b2o$583bobo521bo27b3o208b2o
176b2o15bo2bo$585bo519b3o30bo63b2o104b2o231bobo24b2o$576b2o7b2o517bo
32b2o63bo105bobo231bo26bo$576b2o526b2o94bobo106bo256b3o$1110bo47bo37b
2o2b2o364bo$1108b3o47b3o35b2o$535b2o570bo53bo176bo220bo3b2o$535bo571b
2o51b2o11b2o162bobo218bobo3bo$516b2o15bobo637b2o163b2o184b2o31bobo3bo$
516b2o15b2o301bo463b2o222b2o31bo4bo12b2o$566b2o267bobo462bobo253b2o5b
3o4b2o3b2o$567bo268bo464bo263bo4b2o$567bobo$568b2o540b2o$830b2o259b2o
17b2o218bo238b2o12b2o$830b2o23b2o234b2o236bobo238bo5b2o5bo$822b2o31bo
346b2o126b2o235b3o6b2o6b3o$587bo235bo29bobo328b2o16bobo87b2o221bo51bo
18bo$585b3o235bobo27b2o86b2o147b2o91bobo18bo87bobo220b3o$575b3o6bo239b
2o4b2o108bo2bo147bo91bo20b2o87bo224bo14bo$575bo8b2o244b2o109b2o145b3o
12b2o77b2o4b2o327b2o12b3o$515b2o57b2o512bo14bo83bobo295b2o43bo$514bobo
347b2o238b3o45b2o33bo134bo161bobo43b2o$514bo307b2o40bo241bo39b2o5bo32b
2o7b2o124bobo158b3o$513b2o307bo39bobo281bobob3o20b2o20b2o125b2o157bo3b
o$824bob2o34b2o275b2o7bobo22bo110b2o195b2ob2o43b2o$823b2ob2o311b2o7b2o
24b3o107bobo223b2o17b2o$589b2o253b2o330bo108bo224b2o$589bo233b2ob2o16b
2o99b3o$531b2o54bobo234bobo119bo$531bobo53b2o235bobo117b3o367bo164b2ob
o$533bo291bo379b2o106bobo163bob2o$472bo60b2o670bo108b2o$472b3o98b2o
628bobo70b2o235b2o$475bo96bobo628b2o71bobo235bo$474b2o96bo704bo216b2o
15b3o$469bo34bo66b2o379b2o540bo16bo$467b3o32b3o447bobo540b3o18b2o$466b
o34bo452bo351bo190bo19bo$466b2o33b2o20b2o64b2obo258b2o101b2o349bobo
206b3o$456b2o65b2o64bob2o258b2o342b3o108b2o206bo$457bo56b2o575b2o104bo
70b2o272b2o79b2o$457bobo54bo2bo64b2o507b2o103b3o69bobo271bo80b2o$458b
2o4b2o44b2o4b2o64b2o341bo343bo270bobo$463bo2bo44bo20b2o354b2o7b2o24b3o
614b2o$464b2o45bobo18bo355b2o7bobo22bo698b2o$476b2o34b2o16bobo362bobob
3o20b2o20b2o352bo322b2o$476b2o52b2o323bo39b2o5bo32b2o7b2o351bobo215bo
92b2o$853b3o45b2o33bo361b2o215b3o91bo$837bo14bo83bobo321b2o256bo90bobo
$572b2o263b3o12b2o77b2o4b2o126bo126b2o66bobo254b2o91b2o$573bo266bo91bo
20b2o109bobo124bo2bo66bo277b2o65b2o$573bobo263b2o91bobo18bo110bobo125b
2o345bobo64b2o$574b2o357b2o16bobo109b2ob2o16b2o455bo$951b2o131b2o204bo
250bobob2o$462b2o3b2o32b2o337b2o221b2ob2o221bobo224b2o18b2obobob2obo$
463bo3bo20b2o11b2o337b2o17b2o203bob2o34b2o186b2o223bobo18b2ob2obo$460b
3o5b3o18bo103bo265b2o201bo39bobo147b2o261bo26bo$460bo9bo15b3o35b2o65b
3o468b2o40bo147bobo259b2o20b2ob3o$486bo37b2o2b2o51b3o6bo513b2o147bo
283bobo79b2o$528bobo50bo8b2o945bobo79b2o$505b2o23bo49b2o488b2o462b2ob
2o73b2o$506bo23b2o390b2o140b2o4b2o210bo74bo176bobo74bo2bo15b2o$503b3o
350b2o51b2o11b2o139bobo27b2o186bobo71b3o11bo150b2o14bo75b2o15bo2bo$
503bo352bo53bo152bo29bobo186b2o70bo14b3o107bo20bo20bo14b2o91bobo24b2o$
857b3o47b3o35b2o115b2o31bo148b2o108b2o16bo14bo90bobo7bo11b3o14bo3b3o
106bo26bo$859bo47bo37b2o2b2o119b2o23b2o147bobo124b2o12b3o91bo6b3o14bo
150b3o$595b2o256b2o94bobo118b2o173bo138bo83bo16bo16b2o15bo134bo$595bo
257bo32b2o63bo432b2o82b3o14b2o$593bobo258b3o30bo63b2o518bo49bo125bo3b
2o$593b2o261bo27b3o189bo197bo71bo123b2o174bobo3bo$884bo190bobo195bobo
70b3o34b2o227b2o31bobo3bo$1076bo197b2o70bobo15b2o17b2o126bo100b2o31bo
4bo12b2o$579b2o655b2o110bo15b2o143b3o132b2o5b3o4b2o3b2o$578bobo256b2o
397bobo98bo127b2o25b2o15bo143bo4b2o$578bo257bobo398bo98bobo127bo25b2o
15bo$577b2o257bo25b2o472bobo127bobo$835b2o25bo474bo129b2o188b2o12b2o$
843b2o15bobo62b2o339bo391bo5b2o5bo$595b2obo244b2o15b2o63b2o338bobo99b
2o160b2o124b3o6b2o6b3o$595bob2o331bo335b2o100bo111b2o24b2o21b2o124bo
18bo$928b3o297b2o135b3o45b2o65bobo6b2o16bo15b2o$588b2o337bo300bobo134b
o47b2o67bo6bo14b3o16b2o$588b2o325bo11b2o300bo140b2o110b2o6bo13bo$905b
2o7bobo454bo117b2o$905b2o7bobo451b3o40b2o112b2o$915bo342bo109bo42b2o
105b2o5b2o$1257bobo138b2o118b2o$725bo532b2o139bo$724bobo493b2o177bobo
66b2o8b2o114bo$578b2o145bo494bobo177b2o46bo20bo8bobo113b3o$579bo262b2o
73b2o302bo174b2o50b3o18b3o8bo116bo14bo$579bobo259bobo73b2o442b2o33b2o
53bo28b2o114b2o12b3o$580b2o137b2o120bo89b2o429bo87b2o112b2o43bo$719b2o
23b2o94b2o89b2o317bo111bobo15b2o181bobo43b2o$711b2o31bo190b2o312bobo
111b2o15b2o179b3o$712bo29bobo190b2o313b2o308bo3bo$712bobo27b2o468b2o
346b2ob2o43b2o$576bobo134b2o4b2o491bobo374b2o17b2o$576b2obo7b3o129b2o
137b2o353bo195b2o178b2o$579b3o5bo270bobo548b2o29b2o$576b2o4bo3b2o165b
2o105bo541b2o36b2o$576bob5o128b2o40bo106b2o380bo158bo2bo153b2obo$484b
2o92bo132bo39bobo108bo378bobo158b2o154bob2o$477b2o5b2o91bo3b2o130bob2o
34b2o107b3o379b2o185bo$477b2o97bo3bobo129b2ob2o142bo344b2o222bobo46b2o
113b2o$576b2o3bo151b2o124b2o343bobo221b2o24b2o21b2o114bo$516b2o44bo
149b2ob2o16b2o470bo175b2o54b2o16bo15b2o100b2o15b3o$479b2o17b2o8b2o6bo
31bo13b3o35b2o111bobo665bobo53bo14b3o16b2o100bo16bo$479b2o17bo9b2o4bob
o29b3o16bo34b2o111bobo667bo54bo13bo121b3o18b2o$473b2o21bobo15b2o4b2o
23bo18b2o11bo136bo196b2o321bo148b2o52b2o137bo19bo$473b2o21b2o21bobo23b
2o30b3o331bobo319bobo166b2o69b2o118b3o$517b3obobo55bo281b2o49bo321b2o
166b2o62b2o5b2o118bo$516bo5b2o2b2o51bo15b2o264b2o333b2o268b2o153b2o$
516b2o8b2o67b2o240b2o357bobo422bo$494bo104b2o235bobo358bo167b2o252bobo
$494bo42bo61b2o235bo527bobo252b2o$492b3o9b2o31b3o295b2o527bo$492bo11b
2o33bo15b2o183b2o484bo136b2o$539bo15b2o36b2o145b2o165bob2o314bobo134bo
231bo$578b2o13b2o312b2obo315b2o134b3o229b3o$578bobo607b2o175bo231bo$
492b2o86bo335b2o270bobo173b2o230b2o$492b2o3bo70b2o10b2o269b2o63b2o271b
o428b2o$496bobo69bo282bo766bobo$480b3o14bobo58b2o9b3o277b3o768bo$482bo
16bo38b2o19bo11bo646bo401bobob2o$482b2o15b2o37bobo17bo658bobo375b2o18b
2obobob2obo$540bo17b2o658b2o142b2o230bobo18b2ob2obo$540b2o638b2o180b2o
230bo26bo$926b2o252bobo203b2o205b2o20b2ob3o103b2o$532b2o323b2o67bo254b
o204bobo227bobo105b2o$532bo324bobo64bobo461bo227bobo$466b2o65b3o323bo
64b2o462b2o223b2ob2o$467bo58b2o7bo323b2o47b2o300bo402bobo106b2o$467bob
o56b2o381bo299bobo387b2o14bo106b2o$468b2o439bobo298b2o388bo14b2o92b2o$
492b2o416b2o260b2o426b3o107bo$492b2o27b2o307bo341bobo535bobo$521bobo
269b2o7b2o24b3o342bo537b2o$523bo269b2o7bobo22bo756bo122b2o$523b2o275bo
bob3o20b2o20b2o733b3o120b2o$760bo39b2o5bo32b2o7b2o351bo384bo$510b2o
246b3o45b2o33bo359bobo382b2o$490b2o18b2o230bo14bo83bobo100b2o256b2o$
490bo251b3o12b2o77b2o4b2o100bo219b2o$491b3o251bo91bo20b2o82bobo219bobo
444bo$493bo250b2o91bobo18bo79b2o2b2o221bo443b3o$491b2o345b2o16bobo45b
2o32b2o668bo111b2o$491bo364b2o46b2o677b2o23b2o110b2o$489bobo253b2o181b
o265bo388bo2b2o125b2o$489b2o254b2o17b2o160b3o264bobo388b2obo124bo2bo
15b2o$474bo114b2o173b2o160bo267b2o389bo127b2o15bo2bo$474b3o112b2o5b2o
311b2o15bo54b2o173b2o427bo144bobo24b2o$477bo118b2o311b2o71bo173bobo
235bo189b2obob2o18b2o120bo26bo$476b2o82b2o343b2o74bo5b2o168bo236b3o24b
2o7b2o151bo2b2ob2o18bobo143b3o$561bo343b2o74b2o4bobo407bo22bobo7b2o
152bo26bo143bo$481b3o64bo11bo33b2o231b2o160bo384b2o20b2o20b3obobo27bo
132b3ob2o20b2o$483bo64b3o9b2o32b2o165b2o51b2o11b2o158bob2o195bo187b2o
7b2o32bo5b2o25b3o11bo103b2o17bobo158bo3b2o$483b2o66bo48b2o159bo53bo95b
2o31b2o41b2o2bo193bobo195bo33b2o30bo14b3o101b2o19bo157bobo3bo$538b2o
10b2o48b2o160b3o47b3o35b2o59b2o13b2o16bobo43b2o194b2o193bobo65b2o16bo
14bo105b2ob2o120b2o31bobo3bo$539bo224bo47bo37b2o2b2o69bobo18bo201b2o
231b2o4b2o77b2o12b3o107bobo120b2o31bo4bo12b2o$539bobo216b2o94bobo68bo
20b2o200bobo214b2o20bo91bo110bo14b2o138b2o5b3o4b2o3b2o$498bo41b2o216bo
32b2o63bo67b2o4b2o217bo179bo36bo18bobo91b2o108b2o14bo148bo4b2o$498b3o
62b2o15bo178b3o30bo63b2o70bo2bo397b3o34bobo16b2o193bo22b3o$501bo19bo
41b2o15bo180bo27b3o136b2o402bo34b2o72bo137bobo$469b2o29b2o19b3o5b2o49b
3o206bo147b2o239bo152b2o108b3o34b2o99bobo176b2o12b2o$469b2o53bo4b2o51b
o354b2o238bobo263bo15b2o17b2o98b2ob3o175bo5b2o5bo$493bo29b2o451b2o200b
2o263bo15b2o123bo171b3o6b2o6b3o$491b3o248b2o231bobo162b2o416b2o18b2ob
3o172bo18bo$491bo48bo200bobo231bo164bobo416bo18b2obo29b2o$474b2o15bo
32b2o14bo41b2ob2o154bo25b2o205b2o165bo417bobo25bo23bobo$474b2o48b2o3b
2o9b3o30b2o6bobobobo16bo135b2o25bo554bo237b2o25b3o23bo$470b2o57b2o11bo
11b2o18bo6bobo2bo15b3o143b2o15bobo62b2o490b3o71b2o192bo22b2o$470b2o66b
o15bo16b3o6b2obo8b3o6bo146b2o15b2o63b2o115b2o221bo154bo70b2o11b2o51b2o
125b2o14b2o$536bo18b3o13bo7bo3b2o7bo8b2o232bo111bo221bobo152b2o83bo53b
o141b2o$557bo22bobo2bobo3b2o240b3o109bobo222b2o174b2o25b2o35b3o47b3o
45b2o$476b2o57bo43b2ob2o2b2o244bo112b2o185b2o212b2o21b2o2b2o37bo47bo
47b2o$476b2o14b2o39bo286bo11b2o95b2o201bobo233bobo94b2o$493bo316b2o7bo
bo108bo202bo234bo23b2o38b2o32bo$490b3o317b2o7bobo108bobo434b2o23bo39bo
30b3o40b2o$490bo329bo110b2o460b3o37b3o27bo42b2o$606b2o554bo232bo39bo
57b2o85b2o$606bo330b3o221bobo170b2o158bo85b2o$496b2o43b2o61bobo332bo
45b2o175b2o170b2o158bobo66b2o124bo$495bobo24bo18b2o61b2o333b2o35b2o7b
2o137b2o369b2o46bo20bo124b3o$495bo24b3o224b2o73b2o153bo146bobo364b2o
50b3o18b3o8bo116bo14bo$494b2o24bo225bobo73b2o153bobo145bo330b2o33b2o
53bo49b2o8b2o83b2o12b3o$520bo69b2o154bo89b2o116bo17b2o4b2o477bo87b2o
29bo20bo8bobo50b2o43bo$589bobo153b2o89b2o116b3o7b2o7bo20b2o24b2o435bob
o15b2o101bo18b3o8bo49bobo43b2o$497b2o45bo44bo250b2o115bo6bo8bobo18bo
25b2o132bo303b2o15b2o131b2o46b3o$498bo43b3o43b2o250b2o105bo8b2o4bobo9b
2o16bobo30bo127bobo161bo261bo15bo13bo45bo3bo$495b3o43bo383b2o35b2o28b
2o29b3o128b2o160bobo287b3o46b2ob2o43b2o$495bo44bobo382b2o18bo76bo93b2o
199bo263b3o10bo10bo78b2o17b2o$502b2o37bo64b2obo153b2o184bo60bo11b2o92b
obo385b2o75bo10bo11bobo77b2o$503bo16b2o84bob2o153bobo177bo3b3o50b2o7bo
bo105bo386b2o29b2o43b2o23bo$500b3o16bobo243bo181bo52b2o7bobo485b2o36b
2o54bo$500bo18bo19b2o58b2o164b2o163b2o15bo62bo310b2o3b2o168bo2bo107bo
45b2obo$518b2o19b2o58b2o166bo162b2o214bo174b2o3b2o169b2o105bobobo44bob
2o$535b2o228b3o158b2o217bobo376bo79b2o2bo$535bo228bo161b2o218b2o375bob
o46b2o34b2o77b2o$536b3o225b2o342b2o222b2obo187b2o24b2o21b2o114bo$538bo
110bo362b2o94bobo221b2ob3o138b2o54b2o16bo15b2o100b2o15b3o$648bobo281b
2o52b2o24b2o95bo215b2o11bo137bobo53bo14b3o16b2o100bo16bo$649bo215b2o
65b2o52b2o2b2o34b2o298bo5b2ob3o140bo54bo13bo121b3o18b2o$589b2o225b2o
48bo123bobo33b2o295b3o4bo2bobo142b2o52b2o43b2o19b2o71bo19bo115b2o$590b
o225bobo46bo5b2o119bo37b2o106bo184bo6b2o165b2o69b2o7b2o19b2o88b3o116b
2o$590bobo50b2o121b2o49bo47b2o4bobo118b2o36b2o105bobo357b2o62b2o5b2o
118bo$591b2o50b2o23b2o96b2o105bo76b2o186b2o421b2o42bob2o107b2o$635b2o
31bo73b2o127bob2o76bo148b2o474b2o27b2obo107bo88b2o$636bo29bobo72bobo
127b2o2bo72b3o3bob2o142bobo357b2o115bo136bobo88b2o$636bobo27b2o73bo
132b2o72bo2b4ob2o143bo357bobo112b3o137b2o76b2o$610bo26b2o4b2o95b2o209b
o56b2o449bo114bo218bo$608b3o32b2o307b3ob2o2b2o45bo2bo447b2o333bobo$
598b3o6bo204bob2o138bobo4bo6b2o38bobo119bo326bo143b2o86bo104b2o$598bo
8b2o68b2o133b2obo138bo2b4o7bo40bo119bobo325b3o141bobo85b3o98b2o$597b2o
36b2o40bo277b2o12b3o158b2o328bo116bob2o22bo88bo97b2o$635bo39bobo143b2o
134b2o12bo120b2o365b2o116b2obo22b2o86b2o$637bob2o34b2o79b2o63b2o134bo
134bobo618b2o$636b2ob2o115bo103b2o96bo134bo619bobo$657b2o95b3o102bobo
95b2o756bo$636b2ob2o16b2o200bo855bobob2o$612b2o23bobo218b2o262bo475b2o
bo88b2o18b2obobob2obo$612bo24bobo481bobo333b2o139b2ob3o85bobo18b2ob2ob
o86b2o$610bobo25bo483b2o333b2o145bo84bo26bo86b2o$610b2o219b2o251b2o
395b2o107b2o6b2ob3o84b2o20b2ob3o80b2o$762b2o67bo252bobo394bobo106bo8bo
bo109bobo81bo2bo15b2o$762bobo64bobo167bo85bo397bo107b3o5bobo109bobo82b
2o15bo2bo$596b2o166bo64b2o168b3o481b2o108bo6bo107b2ob2o100bobo24b2o$
595bobo166b2o47b2o187bo705bobo103bo26bo$595bo218bo186bobo110bo579b2o
14bo127b3o$594b2o218bobo185bo110bobo579bo14b2o126bo$664b2o149b2o297b2o
579b3o$664b2o69bo264bo75b2o753bo3b2o$612b2obo82b2o7b2o24b3o263bobobo
72bobo751bobo3bo$612bob2o82b2o7bobo22bo136b2o128bo2b2o73bo601bo116b2o
31bobo3bo$705bobob3o20b2o20b2o104b2o7b2o127b2o679b3o114b2o31bo4bo12b2o
$605b2o58bo39b2o5bo32b2o7b2o105bo143b2o174b2o499bo145b2o5b3o4b2o3b2o$
605b2o56b3o45b2o33bo114bobo128b2o12bo99bo74b2o498b2o154bo4b2o$647bo14b
o83bobo89bo17b2o4b2o129bo12bobo96bobo$647b3o12b2o77b2o4b2o89b3o7b2o7bo
20b2o113bobo11b2o97b2o$650bo91bo20b2o76bo6bo8bobo18bo115b2o2b2o68b2o
113b2o521bo134b2o12b2o$649b2o91bobo18bo76b2o4bobo9b2o16bobo119b2o68bob
o112b2o519b3o135bo5b2o5bo$743b2o16bobo45b2o35b2o28b2o191bo126b2o505bo
135b3o6b2o6b3o$761b2o46b2o385bo481b2o23b2o134bo18bo$595b2o53b2o181bo
360bobo481bo2b2o$596bo53b2o17b2o160b3o165b2o97bo95b2o483b2obo$596bobo
70b2o160bo161b2o4b2o96bobo98b2o480bo$597b2o215b2o15bo161b2o103b2o98b2o
480bo$814b2o244b2o427bo189b2obob2o18b2o$810b2o248bobo369bo56b3o24b2o7b
2o151bo2b2ob2o18bobo$810b2o249bo370b3o57bo22bobo7b2o152bo26bo$616bo
115b2o701bo33b2o20b2o20b3obobo27bo132b3ob2o20b2o$614b3o49b2o51b2o11b2o
700b2o33b2o7b2o32bo5b2o25b3o11bo103b2o17bobo$604b3o6bo52bo53bo95b2o52b
2o122b2o94bo387bo33b2o30bo14b3o101b2o19bo$604bo8b2o52b3o47b3o35b2o59b
2o52b2o2b2o117bobo93bobo93b2o289bobo65b2o16bo14bo105b2ob2o$603b2o64bo
47bo37b2o2b2o113bobo116bo96b2o93b2o289b2o4b2o77b2o12b3o107bobo$663b2o
94bobo114bo115b2o58b2o138b2o266b2o20bo91bo110bo14b2o$663bo32b2o63bo
114b2o174bobo119b2o15bo2bo266bo18bobo91b2o108b2o14bo$664b3o30bo63b2o
71b2o217bo119bo2bo15b2o231bo35bobo16b2o193bo22b3o$666bo27b3o138bo312b
2o24bobo248b3o34b2o72bo137bobo$694bo137b3o3bob2o306bo26bo252bo107b3o
34b2o99bobo$618b2o212bo2b4ob2o240bo66b3o275b2o109bo15b2o17b2o98b2ob3o$
618bo216bo245bobo67bo297b2o87bo15b2o123bo$616bobo28b2o187b3ob2o2b2o
236b2o365b2o202b2o18b2ob3o$616b2o28bobo189bobo4bo6b2o190b2o107b2o3bo
495bo18b2obo29b2o$646bo25b2o164bo2b4o7bo191bobo106bo3bobo494bobo25bo
23bobo$645b2o25bo166b2o12b3o189bo108bo3bobo31b2o461b2o25b3o23bo$602b2o
49b2o15bobo62b2o104b2o12bo285b2o12bo4bo31b2o297b2o192bo22b2o53bo$601bo
bo49b2o15b2o63b2o104bo299b2o3b2o4b3o5b2o329b2o11b2o51b2o125b2o14b2o61b
3o$601bo138bo101bo231bo71b2o4bo284b2o65bo53bo141b2o64bo14bo$600b2o136b
3o100b2o230bobo361b2o29b2o35b3o47b3o45b2o160b2o12b3o$737bo336b2o388b2o
2b2o37bo47bo47b2o128b2o43bo$725bo11b2o297b2o95b2o12b2o50bo263bobo94b2o
170bobo43b2o$618b2obo93b2o7bobo309bobo95bo5b2o5bo49b3o263bo23b2o38b2o
32bo168b3o$618bob2o93b2o7bobo310bo93b3o6b2o6b3o30bo14bo265b2o23bo39bo
30b3o40b2o126bo3bo$725bo405bo18bo30b3o12b2o290b3o37b3o27bo42b2o126b2ob
2o43b2o$611b2o571bo43b2o260bo39bo57b2o85b2o81b2o17b2o$611b2o453bo116b
2o43bobo189bo168bo85b2o81b2o$1065bobo162b3o186bobo167bobo$1066b2o161bo
3bo186bo169b2o46bo$652b2o73b2o299b2o154b2o43b2ob2o352b2o50b3o29bo56b2o
bo$651bobo73b2o217b2o80bobo153b2o17b2o346b2o33b2o53bo49b2o8b2o24bob2o$
651bo89b2o203b2o81bo173b2o347bo87b2o29bo20bo8bobo$650b2o89b2o208bo472b
2o3b2o121bobo15b2o101bo18b3o8bo57b2o$601b2o142b2o202b3o472b2o3b2o122b
2o15b2o131b2o57bo$602bo142b2o201bo109bo173bob2o438bo15bo13bo37b2o15b3o
$602bobo331bo11b2o107bobo172b2obo465b3o38bo16bo$603b2o321b2o7bobo120b
2o375b2obo237b3o10bo10bo42b3o18b2o$668b2o256b2o7bobo82b2o178b2o233b2ob
3o158b2o75bo10bo11bobo43bo19bo$668bobo265bo83bobo177bo227b2o11bo157b2o
29b2o43b2o23bo61b3o$670bo350bo179b3o15b2o208bo5b2ob3o151b2o36b2o54bo
75bo$622bo47b2o531bo16bo205b3o4bo2bobo152bo2bo107bo87b2o$620b3o49bo
524b2o18b3o206bo6b2o157b2o105bobobo86bo$610b3o6bo50b3o377bo146bo19bo
401bo79b2o2bo84bobo$610bo8b2o48bo268b2o109bobo146b3o417bobo46b2o34b2o
83b2o$609b2o58b2o267b2o110b2o148bo417b2o24b2o21b2o$952b2o58b2o157b2o
398b2o54b2o16bo15b2o$765b2o185b2o58bobo157bo398bobo53bo14b3o16b2o100bo
$765b2o189b2o55bo158bobo398bo54bo13bo120b3o$721b2o233b2o215b2o398b2o
52b2o43b2o19b2o71bo$721bobo868b2o69b2o7b2o19b2o70b2o$624b2o45b2o49bo
319bo549b2o62b2o5b2o122b2o$624bo46b2o368bobo155bo456b2o42bob2o83bobo$
622bobo22b2o128bo264b2o153b3o471b2o27b2obo85bo$622b2o22bobo127bobo155b
2o68b2o190bo358b2o115bo116bobob2o$646bo129bobo154bo2bo67bobo189b2o356b
obo112b3o92b2o18b2obobob2obo$645b2o128b2ob3o153bobo68bo168b2o378bo114b
o93bobo18b2ob2obo$608b2o171bo153bo237bobo377b2o208bo26bo$607bobo107bob
2o34b2o18b2ob3o392bo378bo143b2o64b2o20b2ob3o$607bo109b2obo35bo18b2obo
255bo133b2obobo378b3o141bobo86bobo$606b2o148bobo274bobo52b2o78bob2obob
ob2o18b2o356bo116bob2o22bo86bobo$726b2o29b2o275b2o52b2o82bob2ob2o18bob
o354b2o116b2obo22b2o82b2ob2o$661b2o63b2o268b2o174bo26bo149bo432bobo$
624b2obo33bo334bobo174b3ob2o20b2o136bo11b3o374bo4b2o35b2o14bo$624bob2o
31b3o335bo92b2o83bobo157b3o14bo372bobo2bobo7b2o27bo14b2o$1090b2o83bobo
141bo14bo16b2o371bo2b4o9bo28b3o$617b2o484b2o71b2ob2o138b3o12b2o357b2ob
o27bobo4bo6bobo$617b2o407bo76bo74bobo141bo229b2o139b2ob3o24b2ob2o2b2o
6b2o$1025bobo73bobo74bo14b2o126b2o229b2o145bo21bo$736b2o187bo100b2o73b
2o74b2o14bo20bo361b2o107b2o6b2ob3o19bo2b4ob2o$667b2o67bo188b3o60b2o
115b2o84b3o3bo14b3o11bo133bo215bobo106bo8bobo21b3o3bob2o$667bobo64bobo
40b2o149bo59bobo114b2o104bo14b3o93b2o34b3o217bo107b3o5bobo24bo40b2o$
669bo64b2o41b2o148bobo59bo205bo15b2o16bo14bo77b2o17b2o15bobo217b2o108b
o6bo24b2o39bobo$669b2o47b2o40b2o166bo299b2o12b3o96b2o15bo392bo9bo$607b
2o110bo41bo431bo47bo127bo381b3o5b3o$608bo110bobo39b3o8bo153bo91bo222b
2o125bobo383bo3bo$608bobo109b2o203bobobo87bobo348bobo331b2o49b2o3b2o$
609b2o162bo151bo2b2o88b2o183bo165bo332b2o$775bo148b2o54b2o110b2o109b3o
34b2o$825b2o104b2o47bobo109b2o111bo15b2o17b2o96b2o406bo$659b2o115bo49b
o91b2o12bo48bo117b2o104bo15b2o115bo357b2o46b3o$628bo21b2o7b2o93b2o69bo
5b2o86bo12bobo146b2o15bo2bo190b2o45b3o354b2o46bo25b2o$626b3o22bo101bob
o22b3o44b2o4bobo85bobo11b2o145bo2bo15b2o191b2o47bo358b2o42bo25b2o$616b
3o6bo25bobo89bo9bo24bo14b2o38bo86b2o2b2o84bo44b2o24bobo251b2o363b2o15b
o$616bo8b2o19b2o4b2o89b3o5b3o23b2o14bo37bob2o89b2o83bobo43bo26bo101b2o
149bo381bo59bob2o$615b2o14bo15bo20b2o76bo3bo40bobo37b2o2bo174b2o44b3o
125b2o21b2o85b2o40b3o378b3o57b2obo$629b3o15bobo18bo76b2o3b2o20bo18b2ob
2o38b2o136b2o84bo131b2o15bo16b2o68b2o42bo380bo$628bo19b2o16bobo45b2o
54b3o21bo177bobo215b2o16b3o14bo81b2o386b2o$628b2o36b2o46b2o53bo24bobo
128b2o46bo86b2o3bo144bo12bo83bo387b2o35b2o$738bo30bob2o20b2ob3o120b2o
4b2o133bo3bobo156b2o12b2o66bobo418b2o4bobo$736b3o31bobo26bo119b2o140bo
3bobo31b2o87b2o37b2o8bo20bo46b2o420bo6bo38b2o$736bo25b2o8bobo18b2ob2o
2bo201bo45b2o12bo4bo31b2o87b2o5b2o31bo6b3o18b3o50b2o413b3o7b2o37bobo$
719b2o15bo25b2o7bob2o18b2obob2o201bobo44b2o3b2o4b3o5b2o126b2o28b3o27bo
53b2o33b2o378bo50bo$719b2o50bo26bo203b2o49b2o4bo165bo29b2o87bo239bo
162b2o26b2o$631b2o15bo66b2o52bobo26bo21b2o142b2o359b2o15bobo239b3o24b
2o7b2o126bo$612b2o17b2o15bo66b2o52b2o25bob2o19bobo142bobo358b2o15b2o
243bo22bobo7b2o87b2o34b3o3bob2o$612b2o34b3o145b2o2bo18bo100b2o43bo74b
2o12b2o508b2o20b2o20b3obobo27bo66bo20bo14bo2b4ob2o$650bo123b2o23b2o17b
2o99bobo119bo5b2o5bo509b2o7b2o32bo5b2o25b3o11bo52b3o18b3o17bo$721b2o
52bo143bo118b3o6b2o6b3o515bo33b2o30bo14b3o70bo21b3ob2o$611b2o47b2o59b
2o49b3o143b2o74bo43bo18bo238b2o273bobo65b2o16bo14bo29b2o23b2o22b2o2bo$
612bo47b2o2b2o99b2o5bo220bobo269b2o29b2o273b2o4b2o77b2o12b3o30bo50b2o$
609b3o12b2o38bobo98bobo226b2o269b2o36b2o250b2o20bo91bo30b3o44bo$609bo
14bo16b2o23bo100bo188b2o344bo2bo250bo18bobo91b2o29bo44b3o$625b3o14bo
23b2o71b2o26b2o27b2o158bobo344b2o251bobo16b2o167bo$627bo11b3o98bo32b2o
21bo160bo319bo279b2o72bo87bo11b2o11b2o14b2o$639bo97b3o3bob2o27bo22b3o
428b2o46bobo352b3o34b2o49b3o9b2o27b2o$737bo2b4ob2o27bobo22bo428b2o21b
2o24b2o354bo15b2o17b2o51bo$740bo34b2o209bo247b2o15bo16b2o54b2o307bo15b
2o70bo$741b3ob2o238bobo246b2o16b3o14bo53bobo440b2o$743b2o2bo33b3o202b
2o266bo13bo54bo442b2o$746b2o35bo45b2o117b2o318b2o52b2o438b2o$783b2o35b
2o7b2o117bobo281b2o69b2o395b2o21b2o21bo15b2o$821bo127bo282b2o5b2o62b2o
281b2o112b2o21bobo20bo$821bobo415b2o345b2o11b2o51b2o52b2o17bo18b3o$
798bo17b2o4b2o39b2o734bo53bo52b2o17b2o17bo$798b3o7b2o7bo20b2o23b2o113b
o361b2o221b2o35b3o47b3o45b2o67b2o$801bo6bo8bobo18bo29bo108bobo360bobo
216b2o2b2o37bo47bo47b2o67b2o$791bo8b2o4bobo9b2o16bobo27b3o109b2o362bo
161bo53bobo94b2o47b2o$769b2o35b2o28b2o27bo74b2o400b2o160b3o51bo23b2o
38b2o32bo47b2o5b2o$769b2o18bo63bo11b2o73bobo401bo162bo49b2o23bo39bo30b
3o40b2o13b2o$793bo49b2o7bobo86bo400b3o161b2o75b3o37b3o27bo42b2o32b2o$
787bo3b3o49b2o7bobo486bo243bo39bo57b2o44bobo$791bo61bo487b2o341bo44bo$
774b2o15bo178bo713bobo41b2o23b2o$774b2o193bobo713b2o46bo20bo$770b2o
198b2o709b2o50b3o18b3o$770b2o160b2o563bo148b2o33b2o53bo$855b2o75bobo
562b3o147bo87b2o24b2o$855b2o76bo409b2o155bo146bobo15b2o94bobo$776b2o
52b2o37b2o472b2o154b2o147b2o15b2o96bo$776b2o52b2o2b2o33b2o448b2o200b2o
240b2o$834bobo36b2o87bo355bobo200b2o$836bo36b2o86bobo354bo$836b2o124b
2o353b2o375b2o$794b2o128b2o768b2o29b2o$795bo128bobo760b2o36b2o$792b3o
3bob2o123bo760bo2bo$792bo2b4ob2o49b2o656b2o176b2o$795bo54bo2bo294bo
360b2o203bo$796b3ob2o2b2o45bobo100bo191b3o564bobo46b2o$798bobo4bo6b2o
38bo100bobo174bo14bo567b2o24b2o21b2o$798bo2b4o7bo141b2o174b3o12b2o519b
2o54b2o16bo15b2o$799b2o12b3o100b2o215bo43b2o487bobo53bo14b3o16b2o$801b
2o12bo100bobo86b2o125b2o43bobo488bo54bo13bo$801bo115bo87b2o172b3o486b
2o52b2o$802bo375bo3bo309bo194b2o69b2o$801b2o330b2o43b2ob2o308bobo193b
2o62b2o5b2o$946bo60b2o124b2o17b2o338bo258b2o$945bobo59b2o143b2o$946b2o
72b2o628b2o$908b2o110bo628bobo$908bobo107bobo160bob2o311b2o3b2o146bo$
842bo66bo108b2o161b2obo181bo129b2o3b2o145b2o$842b3o177b2o340b3o280bo$
845bo176b2o125b2o161bo50bo283b3o$844bobo91bo210bo125b2o7b2o24b3o50b2o
142b2obo139bo$845bo91bobo210b3o15b2o105b2o7bobo22bo197b2ob3o136b2o$
938b2o212bo16bo84bo27bobob3o20b2o20b2o167b2o11bo$843bo56b2o244b2o18b3o
73bo11b3o25b2o5bo32b2o7b2o168bo5b2ob3o$842bobobo53bobo243bo19bo73b3o
14bo30b2o33bo174b3o4bo2bobo$842bo2b2o54bo245b3o74bo14bo16b2o65bobo172b
o6b2o$841b2o166b2o138bo74b3o12b2o77b2o4b2o47bo$848b2o159b2o109b2o105bo
91bo20b2o29b3o273b2o$835b2o12bo80bo85b2o103bo104b2o91bobo18bo29bo276b
2o$836bo12bobo77bobo66b2o15bo2bo102bobo196b2o16bobo29b2o299b2o$15b2o
819bobo11b2o78b2o65bo2bo15b2o104b2o141bo72b2o8b2o321bobo$15b2o820b2o2b
2o49b2o78b2o24bobo226b2o34b3o82b2o323bo$841b2o49bobo77bo26bo227b2o17b
2o15bo409b2o$893bo79b3o172bo97b2o15bo$975bo170b3o$1145bo$842b2o78bo54b
2o3bo162b2o$836b2o4b2o77bobo53bo3bobo139b2o235b2o$836b2o84b2o54bo3bobo
31b2o104bobo184b2o49b2o$884b2o79b2o12bo4bo31b2o104bo120b2o51b2o11b2o
455bo$2o882bobo78b2o3b2o4b3o5b2o131b2obobo120bo53bo466b3o11bo$2o883bo
84b2o4bo140bob2obobob2o18b2o49b2o45b3o47b3o35b2o429bo14b3o$1121bob2ob
2o18bobo48b2o47bo47bo37b2o2b2o412bo12b2o16bo14bo$1022bo98bo26bo91b2o
94bobo409b3o29b2o12b3o$837b2o75bo42b2o12b2o47b3o99b3ob2o20b2o90bo32b2o
38b2o23bo408bo45bo$836bobo74bobo42bo5b2o5bo32bo14bo104bobo72b2o40b3o
30bo39bo23b2o38bo368b2o44b2o$836bo77b2o39b3o6b2o6b3o29b3o12b2o103bobo
72b2o42bo27b3o37b3o63bobo$835b2o39b2o77bo18bo32bo43b2o72b2ob2o82b2o57b
o39bo66bo376bo$876bobo127b2o43bobo73bobo82bo542b3o34b2o$877bo175b3o71b
o14b2o66bobo544bo15b2o17b2o$1052bo3bo69b2o14bo20bo46b2o545bo15b2o$20b
2o985b2o43b2ob2o83b3o18b3o50b2o152b2o3b2o$20bo885bo100b2o17b2o132bo53b
2o33b2o117b2o3b2o$21b3o881bobo118b2o132b2o87bo429bo$23bo882b2o322b2o
15bobo429b3o24b2o7b2o$868b2o360b2o15b2o111bob2o318bo22bobo7b2o$868bobo
184bob2o299b3ob2o295b2o20b2o20b3obobo66b2o$869bo185b2obo298bo11b2o288b
2o7b2o32bo5b2o45b2o20bo$4b2o1352b3ob2o5bo298bo33b2o51bo18b3o$3bobo
1017b2o176b2o157bobo2bo4b3o293bobo87b3o15bo14b2o$3bo894bo124bo146b2o
29b2o161b2o6bo293b2o4b2o84bo20b2o8bo$2b2o893bobo124b3o15b2o126b2o36b2o
440b2o20bo107bo6b3o$898b2o126bo16bo163bo2bo440bo18bobo104b3o$860b2o
158b2o18b3o165b2o441bobo16b2o79b2o24bo$860bobo157bo19bo141bo469b2o72bo
24bobo$32bo34bo793bo159b3o109b2o46bobo542b3o24bo$32b3o32b3o953bo109b2o
21b2o24b2o544bo24b2o$35bo34bo923b2o143b2o15bo16b2o54b2o497bo66b2o$12b
2o20b2o33b2o819bo104bo143b2o16b3o14bo53bobo564bobo$12b2o7b2o56b2o808bo
bo103bobo161bo13bo54bo521b2o45bo$21bo57bo810b2o104b2o175b2o52b2o521bo
46b2o$19bobo55bobo772b2o283b2o69b2o541b3o$19b2o4b2o44b2o4b2o773bobo
282b2o5b2o62b2o471b2o70bo$3b2o20bo44bo2bo779bo168bo121b2o535b2o11b2o
49b2o$4bo18bobo45b2o947b3o671bo50bo$4bobo16b2o34b2o958bo225b2o411b2o
35b3o48b3o$5b2o52b2o821bo136b2o224bobo406b2o2b2o37bo50bo$881bobo113b2o
248bo405bobo131b2o$882b2o112bobo248b2o404bo23b2o38b2o68b2o$844b2o150bo
252bo402b2o23bo39bo$844bobo144b2obobo250b3o428b3o37b3o57b2obo$845bo
145bob2obobob2o18b2o224bo433bo39bo57bob2o$995bob2ob2o18bobo17b2o4bo
199b2o$995bo26bo8b2o7bobo2bobo$34b2o32b2o3b2o799bo121b3ob2o20b2o8bo9b
4o2bo749b2o$34b2o11b2o20bo3bo799bobo122bobo31bobo6bo4bobo749bo$47bo18b
3o5b3o797b2o122bobo32b2o6b2o2b2ob2o746bobo$11b2o35b3o15bo9bo759b2o161b
2ob2o47bo744b2o$7b2o2b2o37bo785bobo162bobo41b2ob4o2bo193b2o$6bobo828bo
163bo14b2o27b2obo3b3o193b2o$6bo23b2o968b2o14bo34bo172b2o556b2o$5b2o23b
o983b3o3bo30b2o170bobo555bobo$31b3o701bo130bo356bo557bo$33bo701b3o127b
obo150bo203b2o556b2o$738bo127b2o$737bobo88b2o186bo$738bo89bobo$829bo$
1026bo$739b2o285b3o766b2o$739b2o117bo169bo756b2o8bo$857bobo168bo51bo
494bo210bo6b3o$710bo147b2o195bo23bobo493b3o205b3o$710b3o107b2o233bo23b
obo496bo204bo$713bo24b2o80bobo230b3o9b2o11b2ob3o493b2o$712b2o24b2o81bo
185b2o44bo11b2o17bo$1007b2o21b2o25bo20b2ob3o$732b2o279b2o15bo8b2o18bo
18b2obo719b2o$733bo116bo162b2o16b3o4bobo4b2o754bobo$687b2o44bobo113bob
o181bo4bo6bo14bo742bo$687b2o45b2o114b2o185b2o7b3ob2o10bo505bo234b2o$
812b2o197b2o30b3o2bobo517b3o$812bobo196b2o5b2o22bo4bo2bo520bo$681b2o
130bo204b2o22b2o4b2o520b2o$681b2o351bo182bo374b2o$685b2o347b3o143b2o7b
2o24b3o374b2o$685b2o155bo194bo51b2o89b2o7bobo22bo$841bobo192b2o51b2o
68bo27bobob3o20b2o20b2o555b2o$759b2o81b2o303bo11b3o25b2o5bo32b2o7b2o
555b2o$759bo44b2o239b2o15bo82b3o14bo30b2o33bo$680b2o78b3o41bobo238b2o
15bo66bo14bo16b2o65bobo553b2obo$680b2o80bo42bo256b3o64b3o12b2o77b2o4b
2o349b2o202bob2o$1064bo67bo91bo20b2o333b2o$751b2o378b2o91bobo18bo$751b
2o81bo241b2o147b2o16bobo558b2o$727b2o104bobo240bo93bo72b2o559bo$721b2o
5bo105b2o241b3o52b2o34b3o631bobo$721bobob3o68b2o257b2o22bo52b2o17b2o
15bo633b2o$714b2o7bobo70bobo257bo94b2o15bo118bo$714b2o7b2o72bo255b3o
229b3o275bo$1053bo230bo277bobo223b2o$1051bobo230b2o277bo223bobo$687b2o
137bo224b2o734bo$688bo57b2o77bobo386b2o570b2o$685b3o58bo79b2o320b2o51b
2o11b2o$685bo61b3o277b2o119bo53bo364b2o3b2o$700b2o47bo277bobob2o18b2o
49b2o45b3o47b3o35b2o328b2o3b2o$700bobo326bob2o18bobo48b2o47bo47bo37b2o
2b2o51bo$702bo325bo24bo91b2o94bobo48b3o$702b2o324b2ob2o20b2o90bo32b2o
38b2o23bo47bo286b2obo219b2o$783b2o33bo210bobo72b2o40b3o30bo39bo23b2o
46b2o285b2ob3o207b2o8bo$783b2o32bobo209bobo72b2o42bo27b3o37b3o50b2o
300b2o11bo207bo6b3o$818b2o210b2ob2o82b2o57bo39bo52b2o301bo5b2ob3o205b
3o$1032bobo82bo451b3o4bo2bobo207bo$650b2o129b2o249bo14b2o66bobo451bo6b
2o$650b2o130bo248b2o14bo20bo46b2o$692b2o88bobo260b3o18b3o50b2o$692b2o
89b2o280bo53b2o33b2o651b2o$648b2o33b2o95bo46b2o236b2o87bo126b2o524bobo
$648b2o33bo2bo92bobo45bo307b2o15bobo126b2o526bo$635b2o42b2o4b2o92bobo
43bobo307b2o15b2o655b2o$636bo43bo20b2o74b3ob2o42b2o$636bobo41bobo18bo
74bo$637b2o42b2o16bobo75b3ob2o$633b2o64b2o68b2o8bob2o323b2o$633b2o135b
o304b2o29b2o$770bobo302b2o36b2o184bo$771b2o2b2o335bo2bo182bobo498b2o$
775b2o336b2o184bo499b2o$1087bo$1038b2o46bobo701b2obo$1038b2o21b2o24b2o
701bob2o$646b2o128b2o266b2o15bo16b2o54b2o153b2o3b2o$646b2o122b2o4b2o
266b2o16b3o14bo53bobo153b2o3b2o$639b2o129b2o292bo13bo54bo676b2o$638bo
2bo15b2o34b2o383b2o52b2o676bo$639b2o15bo2bo33b2o2b2o38bo4b2o298b2o69b
2o166bob2o523bobo$656bobo23b2o13bobo36bobo2bobo7b2o289b2o5b2o62b2o164b
3ob2o523b2o$657bo20bo3b2o15bo35bo2b4o9bo297b2o227bo11b2o$677bobo19b2o
34bobo4bo6bobo527b3ob2o5bo$676bobo55b2ob2o2b2o6b2o399b2o129bobo2bo4b3o
500b2o$676bo55bo29bo387bobo132b2o6bo499bobo$675b2o52bo2b4ob2o23b3o387b
o640bo$729b3o3bob2o26bo386b2o638b2o$639b2o91bo31b2o388bo$639b2o90b2o
419b3o$778b2o371bo$778bo372b2o$779b3o$781bo1025b2o$1797b2o8bo$639b2o
68bo1088bo6b3o$639bo69b3o5b2o1076b3o$637bobo53bob2o15bo4b2o434b2o640bo
$637b2o54b2obo14b2o440b2o$1129b2o$691b5o432bobo$691bo4bo15b2o62b2o350b
o684b2o$694bo2bob2o11b2o3b2o57b2o349b2o684bobo$666bo27b2obobo17b2o
1096bo$666b3o10b2o10bo5bobo1115b2o$642b2o25bo9b2o9bobo4bob2o42b2o$642b
2o14b2o8b2o20bo2bo2b2obo37b2o4bobo9b2o$659bo31b2o6bo38bo6bo8bobo$654b
2o3bobo37b3o33b3o7b2o7bo$654bo5b2o40bo32bo17b2o$652bobo46b2o$652b2o
1151b2o$656b2o1147b2o$656bobob2o$658bob2o67b2o1065b2obo$657bo71b2o
1065bob2o$657b2ob2o$658bobo30b2o$623b2o33bobo30b2o480bo642b2o$623b2o
34bo105b2o404b3o642bo$732bo33bo3bo4b2o393bo643bobo$730b3o30b3o3bobo2bo
bo7b2o384b2o642b2o$628b2o99bo33bo4bo2b4o9bo$629bo53b2o43bobo37bobo4bo
6bobo337bo$626b3o54b2o3b2o39bo37b2ob2o2b2o6b2o301b2o7b2o24b3o677b2o$
626bo61bo19b2o55bo65b2o252b2o7bobo22bo679bobo$689b3o15bobo52bo2b4ob2o
60bo231bo27bobob3o20b2o20b2o656bo$685bo5bo15bo19b2o33b3o3bob2o38b2o20b
obo217bo11b3o25b2o5bo32b2o7b2o37bo617b2o$684bobo19b2o19b2o36bo45bo6b2o
13b2o215b3o14bo30b2o33bo44b3o$644b2o39bo37b2o39b2o45bobo4b2o214bo14bo
16b2o65bobo41bo$644bobo39b3o34bo82b2o4b2o220b3o12b2o77b2o4b2o41b2o$
619b2o25bo41bo35b3o79bobo228bo91bo20b2o3b2o$620bo25b2o78bo77bobob3o43b
2o180b2o91bobo18bo4b2o$620bobo15b2o106b2o52b2o2b2o5bo42b2o274b2o16bobo
662b2o$621b2o15b2o106b2o52b2o8b2o263bo72b2o653b2o8bo$1037b2o34b3o728bo
6b3o$1037b2o17b2o15bo727b3o$740b2o80b2o232b2o15bo727bo$740b2o80b2o343b
2o$744b2o421b2o$744b2o$1819b2o$834b2o283b2o698bobo$830bo3b2o217b2o51b
2o11b2o700bo$739b2o88bobo221bo53bo713b2o$739b2o35b2o50bobo223b3o47b3o
35b2o$639b2o40bo88b2o4bobo9b2o38bo211b2o14bo47bo37b2o2b2o37bo$639bobo
38bobo88bo6bo8bobo37b2o15b2o195bo8b2o94bobo35bobo$641bo38bo2bo84b3o7b
2o7bo56b2o195b3o6bo32b2o38b2o23bo36bo$641b2o38b2o85bo17b2o263b3o30bo
39bo23b2o$1053bo27b3o37b3o$794b2o53b2o230bo39bo689b2o$758b2o35bo53b2o
324b2o3b2o629b2o$758b2o32b3o380b2o3b2o$552bo70b2o34b2o131bo7b2o232b2o
766b2obo$552b3o67bobo34b2o139b2o45b2o184bobo766bob2o$555bo66bo40b2o81b
2o12bo86b2o184bo133bob2o$554b2o65b2o40b2o82bo11bobo72b2o42b2o152b2o
131b3ob2o$677b2o65b3o13bo44b2o28bo43bo284bo11b2o644b2o$677b2o65bo16b3o
40bobo28bobo41bobo283b3ob2o5bo645bo$763bo40bo31b2o42b2o285bobo2bo4b3o
640bobo$803b2o27b2o337b2o6bo640b2o$832b2o102b2o$545bo270b2o118b2o$545b
3o83b2o183b2o83b2o139b2o762b2o$548bo82b2o56b2o210b2o45b2o92b2o7b2o752b
obo$547b2o140b2o236b2o19b2o101bo753bo$569b2o67bob2o25b2o258b2o120bobo
752b2o$569b2o67b2obo26bo380b2o4b2o$665b3o177b2o186b2o20bo17b2o$665bo
179b2o187bo18bobo17bo$669b2o167b2o194bobo16b2o19bo11bo$669b2o166bo2bo
15b2o96b2o79b2o36b2o9b3o$838b2o15bo2bo94bo2bo126bo735b2o$557b2o296bobo
23b2o71b2o127b2o10b2o712b2o8bo$557b2o77bo219bo20bo3b2o212bo17b2o695bo
6b3o$635bobo119bo118bobo214bobo17bo693b3o$636b2o118bobo116bobo215b2o
19bo11bo680bo$756bo2bo115bo178bo15b2o41b2o9b3o$757b2o115b2o15b2o161bo
15b2o51bo$891b2o159b3o68b2o10b2o$838b2o212bo82bo17b2o670b2o$540bo297b
2o293bobo17bo671bobo$539bobo369bo29b2o98b2o90b2o19bo11bo660bo$540bo
194b2o174b3o27bo95b2o2b2o51bo15b2o41b2o9b3o660b2o$735b2o177bo27b3o91bo
bo55bo15b2o51bo$739b2o172b2o29bo91bo23b2o30b3o68b2o10b2o$739b2o294b2o
23bo18b2o11bo82bo17b2o$544b2o3b2o202b2o139bo166b3o16bo92bobo17bo$544b
2o3b2o202b2o139b3o166bo13b3o93b2o19bo11bo$897bo179bo56bo15b2o41b2o9b3o
$612b2o266b2o14b2o11b2o223bo15b2o51bo613b2o$555b2obo53b2o213bo52b2o27b
2o189b2o30b3o68b2o10b2o591b2o7b2o$555b2ob3o55b2o209b3o270bo18b2o11bo
82bo593bo$548b2o11bo54b2o212bo14bo255b3o16bo92bobo593bobo$549bo5b2ob3o
69b2o133b2o62b2o12b3o28b2o227bo13b3o93b2o13b2o49b2o523b2o4b2o$546b3o4b
o2bobo71b2o133b2o30b2o43bo31b2o241bo56bo15b2o36b2o42b2o5b2o505b2o17bo
20b2o$546bo6b2o188b2o51bobo43b2o34b2o294bo15b2o80b2o513bo17bobo18bo$
744bo49b3o81b2o37b2o21b2o198b2o30b3o133b2o464bo11bo19b2o16bobo$741b3o
49bo3bo118bobo21b2o198bo18b2o11bo61b2o72bo465b3o9b2o36b2o$741bo51b2ob
2o43b2o73bo17b2o205b3o16bo73b2o38b2o33bo11bo455bo$633bo111b2o75b2o17b
2o72b2o17b2o207bo13b3o70b2o42b2o32b2o9b3o442b2o10b2o$632bobo7b2o101b2o
75b2o49b2o282bo56bo15b2o36b2o48bo427b2o17bo$632bobo7b2o229b2o339bo53b
2o48b2o10b2o415bo17bobo$620b2o11bo302b2o242b2o30b3o115bo17b2o384bo11bo
19b2o$621bo172bo134b2o5b2o242bo18b2o11bo115bobo17bo385b3o9b2o41b2o15bo
$618b3o171b3o134b2o250b3o16bo34b2o91b2o19bo11bo375bo51b2o15bo$618bo
172bo118b2o271bo13b3o35b2o52bo15b2o41b2o9b3o46bo315b2o10b2o68b3o$605b
2o15b2o167b2o32b2o83bobo284bo91bo15b2o51bo47b3o297b2o17bo82bo$606bo15b
2o202bo85bo298b2o3bo70b3o68b2o10b2o33bo301bo17bobo$606bobo197b2o15b3o
86b2o297bo3bobo69bo82bo15bo18b2o7b2o3b2o273bo11bo19b2o90b2o$607b2o52b
2o143bo16bo388bo3b2o150bobo15b3o25b2o3b2o273b3o9b2o41b2o15bo51b2o2b2o$
661b2o5b2o137b3o18b2o383bo154b2o19bo307bo51b2o15bo55bobo$601bo66b2o
139bo19bo381bob5o111bo15b2o41b2o294b2o10b2o68b3o30b2o23bo$601b3o222b3o
51b2o329b2o4bo3b2o60b2ob2o41bo15b2o79b2o238b2o17bo82bo11b2o18bo23b2o$
604bo221bo54bo332b3o5bo42bo16bobobobo6b2o30b3o96bo240bo17bobo92bo16b3o
$603bobo60b2o210b3o330b2obo7b3o40b3o15bo2bobo6bo18b2o11bo96bobo227bo
11bo19b2o93b3o13bo$604bo61b2o210bo332bobo54bo6b3o8bob2o6b3o16bo108b2o
228b3o9b2o41b2o15bo56bo$633bo38b2o219b2o372b2o8bo7b2o3bo7bo13b3o342bo
51b2o15bo$633b3o6b2o28b2o170b2o47bobo381b2o3bobo2bobo22bo56bo15b2o257b
2o10b2o68b3o30b2o$605b2o18b2o9bo5b2o200bobo48bo386b2o2b2ob2o78bo15b2o
239b2o17bo82bo11b2o18bo$605b2o19bo8b2o209bo48b2o438b2o30b3o257bo17bobo
92bo16b3o$626bobo217b2o367b2o118bo18b2o11bo246bo11bo19b2o93b3o13bo$
627bobo584bobo119b3o16bo258b3o9b2o41b2o15bo56bo$628bo3b2o2b2o576bo123b
o13b3o66b2o194bo51b2o15bo$632b2o2b2o3b2o570b2o47b2o88bo68bo182b2o10b2o
68b3o30b2o$641b2o620bo128b2o28b3o161b2o17bo82bo11b2o18bo$1263bobo109b
2o15bo31bo162bo17bobo92bo16b3o$885b2o377b2o109bo17bo180bo11bo19b2o93b
3o13bo$836b2o47b2o489b3o13b2o180b3o9b2o41b2o15bo56bo$602bo224b2o7b2o
540bo198bo51b2o15bo$594bo6bobo72bo151bo47b2obo398b2o284b2o10b2o68b3o
30b2o$594b3o5bo71b3o151bobo45bob2o343b2o53bobo265b2o17bo82bo11b2o18bo$
590b2o5bo75bo149b2o4b2o392b2o55bo266bo17bobo92bo16b3o$591bo4b2o75b2o
130bo18bo20b2o433b2o126b2o124bo11bo19b2o93b3o13bo$591bobo211b3o16bobo
18bo50b2o332bob2o174b2o124b3o9b2o41b2o15bo56bo$592b2o214bo16b2o16bobo
50bo333b2obo303bo51b2o15bo$807b2o34b2o49bobo363bob2o260b2o10b2o68b3o
30b2o$894b2o364b2obo242b2o17bo82bo11b2o18bo$1212b2o293bo17bobo92bo16b
3o$588b2o25b2o596bo55b2o223bo11bo19b2o93b3o13bo$589bo25b2o61b2o175b2o
23b2o331bobo53b2o223b3o9b2o41b2o15bo56bo$589bobo86bo177bo22bobo332b2o
215b2o64bo51b2o15bo$590b2o84bobo177bobo20bo551b2o51b2o10b2o68b3o30b2o$
676b2o121b2o56b2o19b2o586b2o17bo82bo11b2o18bo$800bo427b2o237bo17bobo
92bo16b3o$603b2o25b2o168bobo425bobo235bo19b2o93b3o13bo$603bobo6b2o17bo
30b2o137b2o427bo235b2o41b2o15bo56bo$605bo6bo15b3o30bobo173b2o391b2o47b
2o176b2o50b2o15bo$605b2o6bo14bo32bo175b2o2b2o436bo177bobo66b3o30b2o$
612b2o46b2o133bo45bobo433bobo178bo69bo11b2o18bo$776bo18b3o45bo39b2o
392b2o152b2o107bo16b3o$776b3o19bo44b2o39bo312b2o231bo2bo107b3o13bo$
678b2obo97bo17b2o82b3o313bo233b2o36b2o15bo56bo$678bob2o96b2o101bo313bo
bo5b2o10b2o221b2o29b2o15bo$601b2o591bobo6b2o11bo8b2o32bo146b2o30b2o46b
3o30b2o$601bobo67b2o517b2o3bo20b3o6bo33b3o144b2o80bo11b2o18bo$603bo67b
2o517b2o34b3o33bo6b3o228bo16b3o$603b2o294b2o285b2o26bo13bo32b2o8bo125b
2obo100b3o13bo$899bobo285bo83b2o124bob2o102bo$704b2o127bo67bo285bobo
23bo168bo$704b2o64b2o61b3o13bo51b2o285b2o21bo42b2o124b3o96b2o$743bo27b
o64bo12b3o41b2o360bo100bo22bo45b2o53bo$640b2o101b3o25bobo61b2o15bo40b
2o315bo44bobo86bo11b3o20b2o44b2o50b3o$641bo60b2o42bo25b2o77b2o403b2o
84b3o14bo69b2o46bo$610b2o26b3o61b2o41b2o58b2o519bo14bo16b2o38bo29bobo$
610bo27bo50b2o115bo408b2o4b2o103b3o12b2o55b3o27bo$591b2o15bobo79bo75bo
36b3o409b2o4b2o106bo59bo11bo25b2o$591b2o15b2o80bobo73b3o34bo524b2o59b
3o8b2o14bo23b2o$691b2o76bo483b2o19b2o116bo22bobo22b2o$687b2o79b2o57b2o
424b2o19b2o115b2o23bo$687b2o139bo387b2o111b2o$681b2o145bobo385b2o2b2o
25bo81b2o17b2o92b2o$681bo147b2o389bobo24b3o25b2o71b2o92b2o$679bobo520b
2o18bo27bo24bo137b2o$679b2o213b2o296b2o8bo19b2o25b2o25b3o134bobo$823bo
31b2o37bobo296bo6b3o75bo136bo$804bo18b3o30bo39bo293b3o83b2o112bo24b2o$
700b2o87b2o13b3o19bo26b3o40b2o292bo85bo113bo20b2o$700b2o88bo16bo17b2o
26bo420bobo4bo63b2o32b2o9b3o18bo$590b2o198bobo13b2o466b2o3b3o63bo20b2o
11b2o11bo11b2o6b3o$589bobo119b2o78b2o485bo68bo19bo36bo9bo$589bo120bo2b
o62b2o500b2o66b2o16b3o38b3o$588b2o120bobo23b2o39bo564b2o20bo42bo$711bo
20bo3b2o36b3o85b2o478bo$731bobo26b2o12bo82b2o3b2o380b2o97b3o$730bobo
21b2o5bo95b2o385b2o99bo$387b2o272b2o15b2o50bo23bobob3o37b2o479b2o$387b
2o217b2o52bobo15b2o49b2o16b2o7bobo40bo479b2o$606bobo51bo86b2o7b2o41bob
o54b2o$608bo50b2o32b2o105b2o55bo4b2o462b2o$547bo60b2o83b2o138b2o19b3o
5b2o6b2o21b2o375b2o53bobo$547b3o284bo19bo14bobo21b2o375b2o53bo25b2o$
550bo118bo124bo36b3o35bo17b2o304b2o129b2o25bo$549b2o118b3o103b2o17b3o
34bo36b2o17b2o24b2o277bobo137b2o15bobo$544bo34bo92bo54bo48bo20bo115b2o
277bo29b2o108b2o15b2o$542b3o32b3o91b2o54b3o5b2o38bo20b2o393b2o29bobo
36bo$541bo34bo153bo4b2o38b2o112b2o333bo36b3o16bo$405b2o134b2o33b2o20b
2o129b2o151b2o5b2o306b2o25b2o38bo13b3o$373b2o30bobo123b2o65b2o282b2o
312bobo4b2o58bobo11bo$372bobo32bo124bo56b2o311b2o292bo7bo59bo12b2o$
322bo49bo34b2o123bobo54bo2bo137b2o171bo291b2o4b3o$322b3o46b2o160b2o4b
2o44b2o4b2o137b2o3b2o13b2o151bobo295bo69b3o$325bo212bo2bo44bo20b2o126b
2o13b2o26b2o124b2o303b2o8b2o20b2o7b2o13b2o4bo$324b2o213b2o45bobo18bo
170b2o428bobo8bo20bobo7b2o13b2o3b2o$551b2o34b2o16bobo600bo8b3o18b3obob
o$551b2o52b2o96bo213b2o288b2o28bo5b2o$351b2o7b2o20b2o280b2o35b3o213bob
o317b2o92b2o$351b2o7bobo20bo8b2o270b2o34bo103b2o113bo410bobo$358bobob
3o14bo3b3o6bo307b2o103bo113b2o409bo$358b2o5bo27b3o406b3o524b2o$364b2o
15bo13bo350bo41b2o12bo481b2o$669b2o74bobo41bo439bo54b2o$383bo285b2o74b
o2bo24b2o11b3o440b3o29bo$313bo223b2o3b2o32b2o87b2o79b2o25b2o11bo444bo
29b3o$313b3o173bo48bo3bo20b2o11b2o87b2o248b2o314bo31bo$316bo56bo115b3o
43b3o5b3o18bo299bo20bo29bobo345bo15b2o$299b2o14b2o11b2o11bo29b3o118bo
42bo9bo15b3o35b2o108b2o48b2o102bobo7bo11b3o29bo361b2o$299b2o27b2o9b3o
29bo119b2o68bo37b2o2b2o66b2o36b2o49bo103bo6b3o14bo28b2o364b2o$339bo31b
o231bobo65b2o13b2o69b3o93bo16bo16b2o321b2o21b2o48b2o56b2o$339bo173bo
66b2o23bo79bobo59b2o8bo95b3o14b2o338b2o21bobo105b2o$293b2o218b3o65bo
23b2o78bo61b2o20b2o85bo359b2o17bo117b2o$293b2o221bo61b3o103b2o10b2o71b
o85b2o359b2o17b2o40b2o74bobo$297b2o92b2o122b2o61bo118bo72b3o504b2o76bo
$297b2o15bo76b2o301b3o9b2o64bo582b2o$314bo70b2o307bo11bo19b2o486b2o$
314b3o68b2o320bo17bobo122b2o25b2o335b2o5b2o107b2o$316bo389b2o17bo125bo
25b2o342b2o29b2o77bo19b2o$292b2o186bo243b2o125bobo398bo78bobo17bo$292b
2o93b2o91b3o369b2o399b3o76b2o15bobo$380b2o5b2o94bo771bo88bo4b2o$349b2o
29b2o84b2o14b2o11b2o11bo382b2o21b2o427bobo$350bo115b2o27b2o9b3o356b2o
23bobo21b2o427bobo$329b2o16b3o156bo358bobo6b2o14bo17b2o422b2o10bo$329b
obo15bo158bo360bo6bo14b2o17b2o421bobo$331bo128b2o405b2o6bo455bo$306b2o
23b2o127b2o65b2o191b2o152b2o454b2o$306bo157b2o61b2o191b2o188b2o433b2o$
304b3o157b2o15bo234bo186b2o5b2o433bo$481bo234b3o184b2o441b3o$299b2o
180b3o235bo628bo$300bo182bo22b2o210b2o143b2o$297b3o49b2o108b2o44bobo
232b2o121bobo$297bo50bobo108b2o44bo234b2o123bo$348bo155b2o359b2o$347b
2o2$496b2o$496bobo$498bo229b2o117b2o$473b2o23b2o228b2o116bobo$319b2o
152bo20bo39bo179b2o130bo$319bobo44b2o103b3o18b3o37b3o179b2o129b2o$321b
o44bo124bo39bo178b2o$304b2o15b2o41bobo99b2o23b2o23b2o13b2o177b2o$304b
2o58b2o101bo49bo$464b3o44bo2b3o$295b2obo165bo44b3o2bo$295bob2o209bo47b
2o$331b2o150bo11b2o11b2o46b2o174b2o121b2o$332bo150b3o9b2o234bo2bo120b
2o$311b2obo17bobo150bo245bobo$311bob2o18b2o150bo76b2o168bo129bob2o$
562b2o298b2obo$558b2o$375bo166bo15b2o227b2o$373b3o17b2o69b2o21b2o21bo
31bo244b2o55b2o$372bo20bo70b2o21bobo20bo29b3o302bo$347bo11b2o11b2o20bo
11bo63b2o17bo18b3o29bo233b2o69bobo$347b3o9b2o32b2o9b3o63b2o17b2o17bo
54b2o210bo70b2o$349bo53bo159b2o210bobo$349bo53b2o10b2o359b2o$415bo52b
2o390b2o$295b2o116bobo52b2o5b2o383bobo$294bobo116b2o13b2o45b2o39b2o
253b2o89bo$294bo29bo49bo15b2o36b2o64b2o20bo5b2o247b2o89b2o$293b2o29bo
49bo15b2o101bobo21b3obobo$319b2ob3o9b2o36b3o118bo25bobo7b2o18b2o$319b
2obo11b2o11b2o23bo61b2o56b2o26b2o7b2o19bo187bo$347bo86b2o114b3o183b3o$
348b3o79b2o303bo21b2o$350bo63bo15b2o124b2o176bobo3b2o16bo57b2o7b2o$
414bo141bo178bo5bo16bobo37b2o16b2o7bobo29b2o$295b2o115b3o142b3o179bo
19b2o38bo23bobob3o27bo$295b2o61b2o39b2o11bo146bo179b2o58bobo21b2o5bo
27b3o$357bobo40bo34b2o106b2o188b2o65bobo26b2o29bo$321b2o34bo39b3o35b2o
105bobo188b2o66bo3b2o$321bo34b2o39bo64b2o78bo262b2o$295b2o25b3o86b2o3b
o45b2o77b2o$295b2o27bo86bo3bobo292bo$309b2o101bo3b2o291bobo30b2o$309bo
bo101bo295bobo30b2o49b2o$311bo99bob5o289b3ob2o80b2o$301b2o8b2o98b2o4bo
3b2o51bo231bo$302bo111b3o5bo50bobo231b3ob2o$299b3o109b2obo7b3o48bobo
75b2o156bob2o58b2o8b2o$299bo111bobo58b2ob3o73b2o218b2o2b2o5bo$395b2o
81bo296bobob3o51b2o21b2o$395bobo54b2o18b2ob3o80bob2o190b2o23bobo52bobo
21b2o$397bo55bo18b2obo82b2obo149b2o40bo23b2o4b2o47bo17b2o$397b2o54bobo
254bobo37b3o29bobo4b2o40b2o17b2o$415b2o37b2o254bo31b2o6bo31bo6b2o$414b
obo123b2o167b2o8b2o20bo2bo2b2obo30b2o$414bo126bo178bo9b2o9bobo4bobob2o
98b2o$413b2o126bobo173b3o10b2o10bo5bob2obo91b2o5b2o$542b2o173bo27b2obo
65b2o29b2o$745bo2bo66bo$742bo4bo64b3o$556b2o184b5o65bo$556bobo$558bo
185bo$423b2o49b2o82b2o183bobo$423b2o49b2o268bo$457b2o$430bob2o24bo$
430b2obo24b3o8bo$531b2ob2o2b2o$470bo61bobo2bobo3b2o$472bo50bo7bo3b2o7b
o8b2o$523b3o6b2obo8b3o6bo$473bo13bo38bo6bobo2bo15b3o$485b3o37b2o6bobob
obo16bo$428bo46b3o6bo49b2ob2o$427bobo45bo8b2o20bo$428b2o44b2o12b2o16b
3o$489bo19bo$487bo20b2o11b2o$487b2o32b2o2$294bo$292b3o$268bo22bo167b2o
$256bo11b3o20b2o166b2o7b2o$254b3o14bo196bo21b2o15bo44b2o$238bo14bo16b
2o39b2o153bobo2b2o17b2o15bo44b2o$238b3o12b2o56b2o5b2o146b2o3b2o34b3o
36b2o$241bo76b2o189bo36b2o$240b2o285b2o$404b2o42b2o20b2o52b2o2bo2b2o$
297b2o17b2o86b2o43bo21bo52b2obo3bo16b2o$241b2o55bo17b2o90b2o39bobo16b
3o12b2o42bobobo9b2o5b2o$241b2o17b2o36bobo21b2o84b2o40b2o16bo14bo16b2o
22b2obob2o10b2o$260b2o37b2o21b2o98b2o60b3o14bo16b2o4bo2bo$422b2o62bo
11b3o17b2o6b2o$464b2o32bo$346b2o116bobo$302bo43b2o118bo$302bo163b2o$
257b2o32b2o9b3o101b2o$257bo20b2o11b2o11bo39b2o60bo27b2o$259bo19bo64b2o
61b3o24b2o$258b2o16b3o52b2o76bo2b2o$254b2o20bo55bo80bo$254bo77bobo72b
6o$255b3o75b2o46bo25bo2bo50b2o$257bo67b2o2b2o50b3o21bobo6b2o45bo$314b
3o8bo3b2o53bo20b2o7b2o46b3o$314bo8bobo57b2o79bo$313b2o8b2o$238b2o174bo
$237bobo174b3o$237bo25b2o152bo$236b2o25bo128bo23b2o11b2o$244b2o15bobo
78b2o46b3o36b2o$244b2o15b2o79b2o29b2o15bo$373b2o15bo3$362bo$361bobo51b
o21b2o21b2o$305b2o15b2o37b2o52bo20bobo21b2o$304bobo15b2o46b2o32b2o9b3o
18bo17b2o$304bo65bo20b2o11b2o11bo17b2o17b2o$303b2o66bo20bo$370b2o17b3o
$335b2o52bo66b2o$243b2o68bo21b2o112b2o5b2o$242bobo68b3o92b2o39b2o$242b
o73bo92bo$241b2o72b2o89b3o20b2o$406bo22bo$430b3o$432bo6$253b2o$253b2o
92bo$265b2o41b2o35b3o58b2o$265bobo40b2o34bo61b2o5b2o$267bo76b2o31bo35b
2o$267b2o108b3o7b2o$380bo6bo3b2o$242b2o69b2o64b2o4bobo4bo18b2o$243bo
19b2o48b2o70b2o5bobo16b2o$243bobo17bo45b2o82b2o22b2o$244b2o15bobo45b2o
61bo44b2o$256bo4b2o107b3o$255bobo95b2o15bo$255bobo57b2o36b2o15bo$244b
2o10bo58b2o13b2o65bo$243bobo3b3o77bobo65bo$243bo7bo77bo67b3o$242b2o6bo
77b2o10b2o57bo$257b2o82bo$257bo80b3o9b2o$258b3o77bo11bo$260bo90bo$350b
2o$420b2o$373b2o34b3o8bo$374bo34bo8bobo$371b3o3bob2o27b2o8b2o$371bo2b
4ob2o46bo$374bo50b3o4b2o$376b2ob2o2b2o6b2o31bo7bo$377bobo4bo6bobo30b2o
4bobo$377bo2b4o9bo9b2o25b2o$378bobo2bobo7b2o9bo$379bo4b2o18bobo29b2o$
405b2o29bo$434bobo$434b2o12$435bo$433b3o$432bo$432b2o2$426b3o$426bo$
425b2o4$411bo$409b3o$408bo$408b2o29b2o$439b2o$416bo$416b3o$418bo$418bo
15b2o$434b2o$438b2o$438b2o3$432b2o$416b2o14b2o$370b2o44bo$371bo45b3o$
371bobo45bo$372b2o2b2o$376b2o$412b2o$387bo24bobo$387b3o24bo$389bo24b2o
22bo$389bo48b3o$441bo$411b2o27b2o$411bo$412b3o$414bo$370b2o34b2o$369bo
bo16b2o16bo$369bo18bobo16b3o$368b2o20bo18bo$384b2o4b2o$384bo2bo$386b2o
40b2o$377b2o50bo$377b2o50bobo$415b2o13b2o$415b2o3$409b2o40b2o$409b2o
40b2o$367b2o44b2o$368bo44b2o15bo$368bobo59bo$369b2o55bo3b3o$432bo$408b
2o18bo$408b2o$430bo2$376b3o$376bo14b2o$375b2o14bo$389bobo47b2o$389b2ob
2o28b2o16bo$392bo29bo14b3o$392bobo25b3o14bo$369b2o20b2ob3o$370bo26bo$
370bobo18b2ob2o2bo15b2o$371b2o18b2obob2o17bo$396bo15b3o$396bo15bo15b2o
$394bob2o6bo23bobo$394b2o2bo5b3o23bo$372b2o23b2o8bo22b2o$373bo32b2o14b
2o$370b3o49b2o$370bo3$394b2o$394bo$395b3o$397bo$369bo$369b3o$372bo6b3o
$371b2o8bo$381b2o30b2o8b2o$414bo8bobo$414b3o8bo$425b2o2$389b2o$389bo$
387bobo$387b2o18b2o$406bobo23bo$406bo23b3o$370b2o33b2o22bo$370b2o15b2o
24b2o14b2o$387bobo23b2o$389bo$389b2o4$370b2o$370bo$368bobo$368b2o3$
412b2o8b2o$385b2obo22bobo8bo$385bob2o22bo8b3o$410b2o$378b2o$378b2o3$
428b2o$428bobo$430bo$430b2o$368b2o$369bo$369bobo$370b2o3$420b2o$389bo
30b2o$387b3o21b2o$377b3o6bo24bo2bo$377bo8b2o19b2o4b2o$376b2o12b2o16bo
20b2o$391bo16bobo18bo$389bo19b2o16bobo$389b2o36b2o6$392b2o15bo$373b2o
17b2o15bo$373b2o34b3o$411bo2$372b2o47b2o$373bo47b2o2b2o$370b3o12b2o38b
obo$370bo14bo16b2o23bo$386b3o14bo23b2o$388bo11b3o$400bo197$753bo$751b
3o$750bo$750b2o$735b2o$736bo$736bobo$737b2o10bo$748bobo$748bobo$749bo
4b2o$737b2o15bobo$736bobo17bo$736bo19b2o$735b2o6$746b2o$746b2o9$734b2o
$735bo$735bobo$736b2o12$737b2o15b2o$737b2o15bobo$729b2o25bo$730bo25b2o
$730bobo$731b2o4$750bo$748b3o$747bo$747b2o19b2o$753bo15bo$751b3o15bobo
$750bo19b2o$750b2o3$791b2o$791b2o2$753b2o$734b2o17b2o$734b2o3$733b2o$
734bo$731b3o12b2o$731bo14bo16b2o$747b3o14bo$749bo11b3o$761bo$781b2o$
781b2o!


The two "wings" are currently added by the same seven synchronized gliders on each side. We can knock that down to five on each side, at least:

x = 123, y = 103, rule = LifeHistory
79.A.A$79.2A$71.A8.A$72.A$70.3A3.D$73.4D$72.D3.D$67.2A$66.A.A3.3D$68.
A53.A$120.2A$121.2A7$60.A$58.A.A$59.2A5$77.2A$69.A4.A2.A26.3D$68.A.A
2.A.3A2.A24.D$69.4A4.A2.A21.D2.D$77.A2.A21.D2.D$70.A6.A24.D.D$56.2A
17.A.2A$56.A.A11.A$57.A13.2A6$48.2A$19.2A27.A.A$20.2A27.A$19.A98.2A$
118.A.A$78.A39.A$77.A.A$78.2A9.3A$40.2A49.A$40.A.A47.A$41.A3$70.A$69.
A.A$70.2A30.3A$32.2A68.A$32.A.A68.A$33.A3$62.A$61.A.A$62.2A$24.2A$24.
A.A$25.A3$54.A$53.A.A$54.2A$16.2A$16.A.A$17.A3$46.A$45.A.A$46.2A$8.2A
$8.A.A$9.A3$38.A$37.A.A$38.2A$2A$A.A$.A3$30.A$29.A.A25.A$30.2A25.2A$
56.A.A5$22.A$21.A.A$22.2A!

I'm having some trouble with the circuitry that creates the central switch engine on the swimmer lane. The old complicated way was five gliders (left, below). The new simple way is ... a lot faster, but still five gliders, as far as I can figure out (right, below). Am I missing any good tricks to reduce the number of synchronized signals needed here?

x = 352, y = 144, rule = LifeHistory
135.2A$135.A.A190.2A$136.A191.A.A$329.A5$127.2A$A126.A.A190.2A$.2A
125.A191.A.A$2A319.A2$157.A$156.A.A191.A$157.2A190.A.A$119.2A229.2A$
119.A.A190.2A$120.A191.A.A$313.A2$149.A$148.A.A191.A$149.2A190.A.A$
111.2A229.2A$111.A.A190.2A$112.A191.A.A$305.A2$141.A$140.A.A191.A$
141.2A190.A.A$103.2A229.2A$103.A.A190.2A$104.A191.A.A$297.A2$133.A$
132.A.A191.A$133.2A190.A.A$95.2A229.2A$95.A.A190.2A$96.A191.A.A$289.A
2$125.A$124.A.A191.A$125.2A190.A.A$87.2A229.2A$87.A.A190.2A$88.A191.A
.A$281.A2$117.A$116.A.A191.A$65.A51.2A190.A.A$45.A17.3A13.2A229.2A$
46.A15.A16.A.A190.2A$44.3A15.2A16.A191.A.A$273.A$32.A.A$33.2A74.A$33.
A74.A.A191.A$109.2A190.A.A$71.2A229.2A$71.A.A190.2A$72.A191.A.A$265.A
2$101.A$100.A.A191.A$101.2A190.A.A$294.2A$256.2A$256.A.A$257.A2$93.A$
92.A.A191.A$93.2A190.A.A$286.2A$248.2A$248.A.A$249.A$64.3D$65.D19.A
171.3D$62.D2.D18.A.A171.D19.A$62.D2.D19.2A168.D2.D18.A.A$62.D.D190.D
2.D19.2A$255.D.D10$66.2A4.2A$66.A5.2A208.2A$59.2A.A4.3A212.A.A$34.2A
23.2A.3A4.A212.A$35.A29.A$35.A.A21.2A.3A174.A$36.2A22.A.A176.2A$50.2A
8.A.A175.A.A$50.2A3.2A4.A$55.2A36.2A$93.A.A$93.A$56.2A222.3A$37.A11.
2A5.A223.A$37.2A10.2A6.3A221.A$36.A.A20.A173.2A$232.A.A$234.A25$317.A
$316.2A$316.A.A!

I'm also working on a G-to-Cordership converter that uses the new and not yet complete H-to-2G timing adjustment toolkit. That project will be done pretty soon -- it's a "V-converter" along the lines of the old Cordership V-gun.

So far it seems as if Calcyman's Cordership construction method, using identical circuitry to add wings to the left and right sides of a swimmer, wouldn't necessarily make a smaller converter than what I'm building -- but it would definitely be simpler to complete the wiring...!
dvgrn
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Posts: 3343
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Location: Madison, WI

Re: Implications of a Three-Glider Switch Engine

Postby dvgrn » March 25th, 2017, 12:18 pm

dvgrn wrote:I'm also working on a G-to-Cordership converter that uses the new and not yet complete H-to-2G timing adjustment toolkit. That project will be done pretty soon -- it's a "V-converter" along the lines of the old Cordership V-gun.

Okay, here's a working version. It's a little under one-twelfth of the size of Calcyman's original, measured by bounding box. It can obviously be tightened up quite a bit more. Anyone who wants to can feel free to have a go at improving it -- I'm not going to rework it any time soon. Will probably make a fresh start on a few other similar projects, such as a minimal glider-to-loafer converter, and try to apply what I've learned here:

x = 498, y = 644, rule = LifeHistory
272.2A11.A$272.2A10.A.A$284.A.A2.2A3.A$239.2A42.2A.2A2.A2.A.A$239.A.A
45.A.A3.A.A$241.A4.2A35.2A.A2.4A.A3.A9.A$237.4A.2A2.A2.A33.2A.A.A3.A
5.3A5.3A$237.A2.A.A.A.A.2A37.A.A3.A7.A3.A$240.A.A.A.A41.A.A3.A5.2A3.
2A$241.2A.A.A42.A3.2A$245.A$318.2A$231.2A85.2A$232.A7.2A38.2A$232.A.A
5.2A38.2A$233.2A30.2A$264.A2.A$263.A.2A$263.A$262.2A$277.2A$260.4A13.
A$243.2A14.A3.A14.3A$243.A15.2A19.A10.2A$244.3A43.A.A11.2A6.A$246.A
43.A13.2A6.3A$289.2A24.A11.A.A.A.A$314.2A10.A.2A.2A.A$326.A3.A3.A$
298.2A11.A13.2A3.A.2A$249.2A47.2A10.A.A18.A$248.A.A5.2A52.A.A2.2A3.A
8.A.A$248.A7.2A51.2A.2A2.A2.A.A7.2A$247.2A64.A.A3.A.A$309.2A.A2.4A.A
3.A9.A$261.A47.2A.A.A3.A5.3A5.3A$257.2A.A.A50.A.A3.A7.A3.A$256.A.A.A.
A51.A.A3.A5.2A3.2A$253.A2.A.A.A.A.2A49.A3.2A$253.4A.2A2.A2.A$257.A4.
2A80.2A$204.2A49.A.A86.2A$205.A49.2A49.2A$203.A102.2A$203.5A14.2A67.
2A$208.A13.A67.A2.A$205.3A12.A.A66.A.2A$204.A15.2A67.A$204.4A46.A33.
2A$202.2A3.A3.2A39.3A48.2A$201.A2.3A4.2A38.A51.A$201.2A.A46.2A51.3A$
204.A101.A10.2A$204.2A110.A.A11.2A6.A$316.A13.2A6.3A$231.2A82.2A24.A
11.A.A.A.A$212.2A17.2A107.2A10.A.2A.2A.A$213.A138.A3.A3.A$210.3A138.
2A3.A.2A$210.A108.2A11.A24.A$257.A61.2A10.A.A21.A.A$217.2A37.A.A72.A.
A2.2A3.A13.2A$218.A37.A.A71.2A.2A2.A2.A.A$218.A.A34.2A.2A74.A.A3.A.A$
204.2A13.2A33.A2.A2.A69.2A.A2.4A.A3.A9.A$204.2A47.A.A.A.A.A68.2A.A.A
3.A5.3A5.3A$254.A.A.A.A73.A.A3.A7.A3.A$256.A.A76.A.A3.A5.2A3.2A$198.
2A56.A2.A76.A3.2A$198.2A57.2A$202.2A161.2A$202.2A161.2A$256.2A69.2A$
256.2A69.2A$312.2A$197.2A112.A2.A$197.2A32.2A77.A.2A$231.2A2.2A23.A
49.A$235.A.A20.3A48.2A$237.A19.A66.2A$237.2A18.2A65.A$221.2A102.3A$
216.2A2.A2.A103.A10.2A$216.A.A2.2A114.A.A11.2A6.A$219.2A116.A13.2A6.
3A$220.A115.2A24.A11.A.A.A.A$217.A2.A.2A137.2A10.A.2A.2A.A$163.2A39.
2A10.A.A.2A.A23.2A124.A3.A3.A$163.A.A39.A11.A.A26.A.A5.2A88.2A11.A14.
2A3.A.2A$165.A4.2A30.3A13.A2.2A23.A7.2A88.2A10.A.A19.A$161.4A.2A2.A2.
A28.A16.2A.3A20.2A109.A.A2.2A3.A9.A.A$161.A2.A.A.A.A.2A51.A129.2A.2A
2.A2.A.A8.2A$164.A.A.A.A48.2A.3A34.A99.A.A3.A.A$165.2A.A.A48.2A.A32.
2A.A.A94.2A.A2.4A.A3.A9.A$169.A84.A.A.A.A94.2A.A.A3.A5.3A5.3A$211.2A
38.A2.A.A.A.A.2A95.A.A3.A7.A3.A$155.2A45.2A7.2A38.4A.2A2.A2.A96.A.A3.
A5.2A3.2A$156.A7.2A37.A51.A4.2A99.A3.2A$156.A.A5.2A37.A.A47.A.A$157.
2A45.2A33.2A12.2A135.2A$239.A.A148.2A$241.A4.2A104.2A$237.4A.2A2.A2.A
102.2A$224.2A11.A2.A.A.A.A.2A87.2A$224.2A14.A.A.A.A89.A2.A$241.2A.A.A
88.A.2A$167.2A76.A89.A$167.A166.2A$168.3A60.2A116.2A$144.2A24.A38.A
22.A7.2A107.A$145.A46.A15.A.A21.A.A5.2A108.3A$143.A46.3A15.A.A22.2A
117.A10.2A$143.5A14.2A25.A19.A152.A.A11.2A6.A$148.A13.A26.2A15.3A153.
A13.2A6.3A$145.3A12.A.A43.A137.2A11.A3.2A24.A11.A.A.A.A$144.A15.2A
182.2A10.A.A27.2A10.A.2A.2A.A$144.4A208.A.A2.2A3.A31.A3.A3.A$142.2A3.
A3.2A202.2A.2A2.A2.A.A29.2A3.A.2A$141.A2.3A4.2A90.2A114.A.A3.A.A35.A$
141.2A.A98.A111.2A.A2.4A.A3.A9.A20.A.A$144.A34.2A63.3A108.2A.A.A3.A5.
3A5.3A20.2A$144.2A32.A.A5.2A58.A20.A91.A.A3.A7.A3.A$178.A7.2A77.3A92.
A.A3.A5.2A3.2A$177.2A85.A96.A3.2A$152.2A110.2A$153.A37.A198.2A$150.3A
34.2A.A.A197.2A$150.A27.2A6.A.A.A.A159.2A$178.A4.A2.A.A.A.A.2A17.2A
137.2A$180.A2.4A.2A2.A2.A18.A122.2A$160.2A14.5A6.A4.2A18.A123.A2.A$
161.A13.A9.A.A24.5A14.2A21.2A79.A.2A$161.A.A12.3A6.2A30.A13.A21.A.A5.
2A72.A$162.2A15.A34.3A12.A.A21.A7.2A71.2A$176.4A33.A15.2A21.2A95.2A$
171.2A3.A3.2A31.4A132.A$171.2A4.3A2.A28.2A3.A3.2A44.A83.3A$179.A.2A
27.A2.3A4.2A40.2A.A.A84.A10.2A$179.A30.2A.A31.A15.A.A.A.A94.A.A11.2A
6.A$178.2A33.A31.3A5.2A3.A2.A.A.A.A.2A91.A13.2A6.3A$213.2A33.A4.2A3.
4A.2A2.A2.A90.2A24.A11.A.A.A.A$247.2A13.A4.2A117.2A10.A.2A.2A.A$170.
2A88.A.A135.A3.A3.A$170.A50.2A37.2A135.2A3.A.2A$145.2A24.3A48.A180.A$
146.A26.A38.A6.3A179.A.A$144.A67.3A4.A49.A131.2A$144.5A14.2A50.A51.3A
$149.A13.A34.2A14.2A11.2A37.A107.2A11.A$146.3A12.A.A34.2A27.2A37.2A
106.2A10.A.A$145.A15.2A223.A.A2.2A3.A$145.4A236.2A.2A2.A2.A.A$143.2A
3.A3.2A38.2A80.2A113.A.A3.A.A$142.A2.3A4.2A38.2A81.A109.2A.A2.4A.A3.A
9.A$142.2A.A50.2A77.A.2A106.2A.A.A3.A5.3A5.3A$145.A50.2A69.2A4.3A2.A
110.A.A3.A7.A3.A$145.2A120.2A3.A3.2A112.A.A3.A5.2A3.2A$272.4A115.A3.
2A$238.2A18.2A15.A$153.2A36.2A44.A.A17.A.A12.3A145.2A$154.A36.2A44.A
19.A13.A148.2A$151.3A82.2A8.A.2A6.2A14.5A105.2A$151.A92.3A.2A26.A105.
2A$243.A30.A88.2A2.2A$228.2A14.3A.2A24.2A87.A2.A2.A$215.2A11.A.A15.A.
A115.2A.2A$210.2A2.A2.A12.A15.A.A116.A.A$210.A.A2.2A13.2A15.A117.A.A$
213.2A151.A12.2A$214.A164.A$211.A2.A.2A162.3A$198.2A10.A.A.2A.A21.A
142.A10.2A$199.A11.A.A25.3A150.A.A11.2A6.A$190.2A4.3A13.A2.2A25.A149.
A13.2A6.3A$190.A5.A16.2A.3A22.2A131.2A11.A3.2A24.A11.A.A.A.A$192.A26.
A154.2A10.A.A27.2A10.A.2A.2A.A$172.2A14.5A20.2A.3A167.A.A2.2A3.A31.A
3.A3.A$173.A13.A25.2A.A16.2A150.2A.2A2.A2.A.A29.2A3.A.2A$173.A.A12.3A
42.A155.A.A3.A.A35.A$174.2A15.A13.2A23.2A.A151.2A.A2.4A.A3.A9.A20.A.A
$188.4A4.2A7.2A23.A2.3A4.2A143.2A.A.A3.A5.3A5.3A20.2A$183.2A3.A3.2A3.
A33.2A3.A3.2A147.A.A3.A7.A3.A$183.2A4.3A2.A2.A.A33.4A153.A.A3.A5.2A3.
2A$191.A.2A3.2A33.A15.2A140.A3.2A$191.A42.3A12.A.A2.2A$190.2A45.A13.A
2.A165.2A$232.5A14.3A2.A163.2A$218.2A12.A21.3A125.2A$182.2A34.2A14.A
18.A54.2A72.2A$182.A50.2A18.2A53.A.A56.2A$183.3A124.A4.2A49.A2.A$185.
A120.4A.2A2.A2.A46.A.2A$306.A2.A.A.A.A.2A46.A$203.A105.A.A.A.A48.2A$
152.2A48.A.A105.2A.A.A63.2A$152.2A26.2A20.A.A109.A64.A$181.A21.A39.2A
135.3A$142.2A35.A17.2A.3A39.A.A5.2A48.2A80.A10.2A$143.A35.5A14.A.A41.
A7.2A49.A7.2A81.A.A11.2A6.A$143.A.A38.A13.A42.2A58.A.A5.2A81.A13.2A6.
3A$144.2A35.3A12.A.A103.2A87.2A24.A11.A.A.A.A$180.A15.2A57.A160.2A10.
A.2A.2A.A$180.4A67.2A.A.A171.A3.A3.A$178.2A3.A3.2A61.A.A.A.A72.A69.2A
11.A14.2A3.A.2A$165.2A10.A2.3A4.2A58.A2.A.A.A.A.2A67.3A69.2A10.A.A19.
A$165.A11.2A.A66.4A.2A2.A2.A66.A84.A.A2.2A3.A9.A.A$144.A.2A15.A.A14.A
70.A4.2A68.2A82.2A.2A2.A2.A.A8.2A$142.3A.2A15.2A15.2A67.A.A60.2A100.A
.A3.A.A$141.A107.2A61.A97.2A.A2.4A.A3.A9.A$142.3A.2A165.3A94.2A.A.A3.
A5.3A5.3A$144.A.A3.2A36.2A21.2A40.2A60.A98.A.A3.A7.A3.A$144.A.A2.A.A
37.A21.A42.A33.2A125.A.A3.A5.2A3.2A$145.A3.A36.3A24.A38.A36.A126.A3.
2A$148.2A36.A6.2A14.5A38.5A14.2A14.A28.2A$194.A13.A48.A13.A15.5A14.2A
7.A.A5.2A120.2A$194.A.A12.3A42.3A12.A.A20.A13.A8.A7.2A120.2A$195.2A
15.A40.A15.2A18.3A12.A.A7.2A91.2A$209.4A40.4A31.A15.2A101.2A$204.2A3.
A3.2A36.2A3.A3.2A26.4A36.A63.2A$152.2A50.2A4.3A2.A34.A2.3A4.2A24.2A3.
A3.2A27.2A.A.A61.A2.A$151.A.A58.A.2A34.2A.A31.A2.3A4.2A26.A.A.A.A60.A
.2A$151.A60.A40.A31.2A.A31.A2.A.A.A.A.2A57.A$150.2A59.2A40.2A33.A31.
4A.2A2.A2.A56.2A$288.2A34.A4.2A73.2A$322.A.A79.A$185.A17.2A56.2A59.2A
81.3A$183.3A17.A58.A33.2A29.2A78.A10.2A$168.2A12.A21.3A52.3A35.A30.A
88.A.A11.2A6.A$144.A23.A.A11.2A22.A52.A34.3A29.A90.A13.2A6.3A$144.3A
23.A123.A31.5A14.2A63.2A4.2A5.A18.A11.A.A.A.A$147.A22.2A159.A13.A64.
2A10.A.A16.2A10.A.2A.2A.A$146.2A14.2A164.3A12.A.A76.A.A2.2A3.A20.A3.A
3.A$162.2A163.A15.2A76.2A.2A2.A2.A.A18.2A3.A.2A$327.4A94.A.A3.A.A24.A
$325.2A3.A3.2A85.2A.A2.4A.A3.A9.A9.A.A$172.2A150.A2.3A4.2A85.2A.A.A3.
A5.3A5.3A9.2A$171.A.A5.2A143.2A.A97.A.A3.A7.A3.A$171.A7.2A146.A98.A.A
3.A5.2A3.2A$170.2A155.2A98.A3.2A2$184.A271.2A$180.2A.A.A149.2A119.2A$
143.2A34.A.A.A.A150.A28.2A51.2A$142.A2.A2.2A26.A2.A.A.A.A.2A144.3A30.
A51.2A$143.2A2.A.A13.2A11.4A.2A2.A2.A144.A30.A38.2A$145.2A16.A.A14.A
4.2A177.5A14.2A17.A2.A$145.A19.A12.A.A188.A13.A17.A.2A$142.2A.A2.A16.
2A11.2A186.3A12.A.A17.A$142.A.2A.A.A215.A15.2A17.2A$146.A.A216.4A26.
2A18.2A$143.2A2.A215.2A3.A3.2A22.A18.A$141.3A.2A215.A2.3A4.2A20.A21.
3A$140.A221.2A.A28.5A14.3A2.A10.2A$141.3A.2A218.A33.A13.A2.A11.A.A11.
2A6.A$143.A.2A218.2A29.3A12.A.A2.2A10.A13.2A6.3A$395.A15.2A14.2A24.A
11.A.A.A.A$153.2A240.4A53.2A10.A.2A.2A.A$153.2A7.2A209.2A18.2A3.A3.2A
60.A3.A3.A$162.A211.A17.A2.3A4.2A59.2A3.A.2A$160.A.A208.3A18.2A.A73.A
$160.2A209.A23.A71.A.A$395.2A70.2A5.2A$473.A.A$467.2A4.A$140.2A261.2A
60.A2.A2.2A.4A$140.2A262.A60.2A.A.A.A.A2.A$401.3A64.A.A.A.A$401.A66.A
.A.2A$385.2A82.A$362.2A21.A$156.A205.A24.A94.2A$155.A.A206.A2.2A14.5A
85.2A7.A$155.A.A186.2A14.5A3.A13.A90.2A5.A.A$156.A188.A13.A8.A.A12.3A
94.2A$157.3A185.A.A12.3A6.2A15.A$159.A174.2A10.2A15.A19.4A$334.A25.4A
14.2A3.A3.2A$336.A18.2A3.A3.2A12.2A4.3A2.A$316.2A14.5A18.2A4.3A2.A19.
A.2A$317.A13.A31.A.2A19.A$317.A.A12.3A28.A21.2A83.2A$223.2A93.2A15.A
26.2A107.A$223.A.A106.4A132.3A$225.A4.2A95.2A3.A3.2A39.2A89.A24.2A$
221.4A.2A2.A2.A93.2A4.3A2.A15.2A21.A115.A$221.A2.A.A.A.A.2A101.A.2A
15.A23.3A114.A$224.A.A.A.A104.A19.3A22.A63.A30.2A14.5A$225.2A.A.A103.
2A21.A86.3A29.A13.A$229.A217.A28.A.A12.3A$446.2A29.2A15.A$215.2A109.
2A163.4A$216.A7.2A100.A159.2A3.A3.2A$216.A.A5.2A101.3A156.2A4.3A2.A$
217.2A110.A14.2A148.A.2A$345.A148.A$343.A149.2A$216.A126.5A14.2A92.2A
$178.A35.3A131.A13.A86.2A5.A.A$176.3A34.A131.3A12.A.A8.2A76.2A7.A26.
2A$160.A14.A37.2A129.A15.2A9.2A85.2A25.A$160.3A12.2A50.2A115.4A138.3A
$163.A63.A114.2A3.A3.2A92.A42.A$162.2A64.3A110.A2.3A4.2A91.A.A.2A$
230.A110.2A.A99.A.A.A.A$344.A96.2A.A.A.A.A2.A$163.2A91.A87.2A95.A2.A
2.2A.4A$163.2A17.2A70.3A186.2A4.A9.A$182.2A69.A195.A.A5.3A$253.2A97.
2A96.2A4.A$221.2A130.A102.2A$218.2A2.A127.3A4.2A$218.A.2A39.2A87.A5.A
.A57.A$262.A93.A59.3A$179.2A38.3A40.A.2A89.2A62.A$156.2A21.A38.A2.A
32.2A4.3A2.A140.A11.2A11.2A$155.A2.A2.2A17.3A36.2A33.2A3.A3.2A139.3A
24.2A$156.2A2.A.A19.A76.4A140.A$158.2A16.2A67.2A15.A140.2A$158.A17.A
20.A.2A43.A.A12.3A126.2A$155.2A.A2.A15.3A15.3A.2A43.A13.A37.2A78.2A
11.A74.2A$155.A.2A.A.A16.A14.A48.2A14.5A33.A78.A12.A.2A68.2A2.A$159.A
.A33.3A.2A13.2A.A45.A31.A81.3A10.A2.A67.A.2A$156.2A2.A36.A.A14.2A.3A
41.A33.5A14.2A63.A11.2A$154.3A.2A37.A.A20.A40.2A37.A13.A91.2A54.3A$
153.A44.A15.2A.3A77.3A12.A.A91.2A53.A2.A$154.3A.2A55.A.A78.A15.2A148.
2A$156.A.2A55.A.A78.4A60.2A$216.A77.2A3.A3.2A54.A.A23.A$166.2A125.A2.
3A4.2A54.A23.3A29.A3.2A19.A.2A$166.2A7.2A116.2A.A61.2A22.A31.A.A3.A
17.3A.2A$175.A120.A69.2A14.2A29.A.A3.A12.2A3.A$173.A.A120.2A68.2A41.
2A.A.A3.A13.A.A3.3A.2A13.2A.A$173.2A234.2A.A2.4A.A13.A5.A.A14.2A.3A$
413.A.A3.A.A12.2A4.A.A20.A$304.2A103.2A.2A2.A2.A.A19.A15.2A.3A$305.A
104.A.A2.2A3.A37.A.A$153.2A147.3A93.2A10.A.A45.A.A$153.2A147.A95.2A
11.A47.A$257.2A$257.2A$254.A$254.5A14.2A110.2A$169.A89.A13.A106.2A2.A
2.A$168.A.A85.3A12.A.A8.2A81.2A13.A.A2.2A$168.A.A20.2A62.A15.2A9.2A
80.A.A16.2A$169.A21.A63.4A76.2A27.A19.A$170.3A.2A17.A59.2A3.A3.2A71.
2A26.2A16.A2.A.2A$172.A.A14.5A58.A2.3A4.2A116.A.A.2A.A$174.A13.A63.2A
.A125.A.A$174.A.A12.3A63.A126.A2.2A$175.2A15.A13.A48.2A90.2A34.2A.3A$
78.2A11.A97.4A13.3A112.2A24.2A7.2A31.A$78.2A10.A.A91.2A3.A3.2A14.A
112.A33.A26.2A.3A$90.A.A2.2A3.A83.2A4.3A2.A12.2A53.2A57.A.A29.A.A26.
2A.A$89.2A.2A2.A2.A.A90.A.2A68.A47.A10.2A29.2A$93.A.A3.A.A12.2A76.A
68.3A4.2A40.3A62.2A$89.2A.A2.4A.A13.A27.A48.2A7.2A59.A5.A.A39.A56.2A
7.2A$89.2A.A.A3.A13.A.A26.A.A.2A53.A66.A41.2A53.A2.A$93.A.A3.A12.2A
27.A.A.2A50.2A.A65.2A26.2A68.2A.A.A$94.A.A3.A35.2A2.2A.A39.2A12.A2.3A
4.2A38.2A11.A34.A70.A.2A$95.A3.2A35.A.A4.A39.A14.2A3.A3.2A38.2A10.A.A
33.A.2A67.A$120.2A16.A.3A41.3A13.4A55.A.A2.2A3.A26.A2.A46.A17.3A$121.
A15.2A.A45.A13.A15.2A40.2A.2A2.A2.A.A26.2A46.A.A.2A12.A$121.A.A77.3A
12.A.A43.A.A3.A.A41.2A29.3A.A.A13.2A23.2A$86.2A34.2A80.A13.A39.2A.A2.
4A.A17.2A23.2A28.A3.A4.A36.2A$86.2A111.5A14.2A38.2A.A.A3.A19.A55.A2.A
.4A$71.2A126.A62.A.A3.A19.3A44.2A7.A.A.A$70.A2.A127.A61.A.A3.A20.A44.
2A2.2A4.A3.3A$69.A.2A127.2A62.A3.2A51.A3.2A12.A.A9.A$69.A250.A.A3.A
14.A31.A$68.2A249.A.A3.A15.2A10.2A17.A.A$83.2A230.2A.A.A3.A27.A.A5.2A
10.A.A$83.A97.2A72.2A58.2A.A2.4A.A25.A7.2A11.A$84.3A24.2A68.A.A71.2A
62.A.A3.A.A23.2A17.3A$86.A11.2A11.2A70.A4.2A50.2A73.2A.2A2.A2.A.A42.A
$99.A79.4A.2A2.A2.A47.A2.A73.A.A2.2A3.A38.A$96.3A80.A2.A.A.A.A.2A46.A
.2A62.2A10.A.A42.2A.A.A$96.A85.A.A.A.A49.A65.2A11.A42.A.A.A.A$139.2A
42.2A.A.A48.2A118.A2.A.A.A.A.2A$139.2A46.A64.2A9.2A21.2A6.2A61.4A.2A
2.A2.A$235.4A13.A9.A.A21.2A6.A.A64.A4.2A$173.2A59.A3.A14.3A6.A17.2A
14.A4.2A56.A.A$142.A31.A7.2A50.2A19.A5.2A17.2A10.4A.2A2.A2.A54.2A$
126.2A12.3A31.A.A5.2A17.A90.A2.A.A.A.A.2A$125.A.A11.A35.2A22.3A93.A.A
.A.A$125.A13.2A57.A83.2A12.2A.A.A$124.2A72.2A75.2A5.2A16.A$275.2A$
286.2A18.A$206.2A16.2A61.A7.2A9.3A$207.A15.A.A5.2A54.A.A5.2A12.A$185.
2A20.A.2A12.A7.2A55.2A18.A.A$129.2A54.A13.2A4.3A2.A11.2A84.A.A$128.A.
A5.2A48.3A10.2A3.A3.2A99.A$128.A7.2A50.A15.4A28.A$127.2A59.A.2A15.A
24.2A.A.A$186.2A.A.A12.3A24.A.A.A.A$141.A44.A2.A13.A24.A2.A.A.A.A.2A$
137.2A.A.A45.2A14.5A19.4A.2A2.A2.A57.2A24.2A$136.A.A.A.A65.A23.A4.2A
59.A25.2A$133.A2.A.A.A.A.2A33.A26.A23.A.A66.3A$133.4A.2A2.A2.A33.3A
24.2A22.2A69.A$137.A4.2A38.A30.2A11.A$135.A.A43.2A30.2A10.A.A76.2A$
135.2A88.A.A2.2A3.A67.A.A$224.2A.2A2.A2.A.A66.A$173.2A53.A.A3.A.A12.
2A51.2A7.2A$173.A50.2A.A2.4A.A13.A61.2A$170.2A.A50.2A.A.A3.A13.A.A15.
A$170.A2.3A4.2A46.A.A3.A12.2A16.3A51.2A.A$171.2A3.A3.2A47.A.A3.A32.A
50.2A.3A$173.4A53.A3.2A31.2A56.A$173.A15.2A64.2A62.2A.3A$174.3A12.A.A
64.A61.A2.2A$177.A13.A64.A.A32.2A24.A.A15.2A$172.5A14.2A28.2A34.2A31.
A.A23.A.A.2A.A11.A.A$140.2A30.A48.2A56.2A3.2A4.A8.2A16.A2.A.2A13.A4.
2A$141.A32.A31.2A71.2A4.A2.2A.4A5.A19.A12.4A.2A2.A2.A$139.A33.2A30.A
2.A76.A.A.A.A2.A5.A.A16.2A12.A2.A.A.A.A.2A$139.5A14.2A44.A.2A74.2A.A.
A.A.A9.2A13.A.A2.2A13.A.A.A.A$144.A13.A45.A77.2A.A.A.2A25.2A2.A2.A13.
2A.A.A$141.3A12.A.A44.2A81.A34.2A18.A$140.A15.2A60.2A$140.4A57.4A13.A
57.2A21.2A26.2A$138.2A3.A3.2A51.A3.A14.3A24.2A28.A13.2A7.A28.A7.2A$
137.A2.3A4.2A51.2A19.A11.2A11.2A29.3A10.2A5.A.A28.A.A5.2A17.A$137.2A.
A93.A44.A17.2A30.2A22.3A$52.A87.A90.3A35.2A81.A$52.3A85.2A89.A37.2A2.
2A77.2A$55.A217.A.A$54.2A211.A7.A$148.2A117.3A5.2A25.2A56.2A$149.A40.
2A78.A31.2A14.2A41.A$46.2A98.3A40.A.A5.2A70.2A16.2A29.A20.2A20.A.2A$
46.A99.A42.A7.2A89.A30.3A17.A13.2A4.3A2.A$43.2A.A141.2A95.3A33.A18.3A
10.2A3.A3.2A$43.A2.3A4.2A206.2A22.A56.A15.4A$44.2A3.A3.2A147.A58.A76.
3A.A.2A15.A$46.4A148.2A.A.A54.2A.A74.3A2.A.A.A12.3A$46.A15.2A133.A.A.
A.A54.A2.3A4.2A65.A5.A.A13.A$47.3A12.A.A129.A2.A.A.A.A.2A52.2A3.A3.2A
45.A20.3A3.2A14.5A$50.A13.A129.4A.2A2.A2.A54.4A48.3A23.A22.A$45.5A14.
2A132.A4.2A56.A15.2A33.A25.2A20.A$45.A150.A.A63.3A12.A.A32.2A46.2A$
47.A148.2A67.A13.A$46.2A212.5A14.2A49.2A70.2A$3C240.2A15.A69.A71.A.A$
2.C240.A.A16.A64.2A.A73.A$.C243.A4.2A9.2A64.A2.3A4.2A59.2A3.A.2A$241.
4A.2A2.A2.A74.2A3.A3.2A60.A3.A3.A$190.2A49.A2.A.A.A.A.2A76.4A53.2A10.
A.2A.2A.A$190.A53.A.A.A.A79.A15.2A14.2A24.A11.A.A.A.A$192.A52.2A.A.A
80.3A12.A.A2.2A10.A13.2A6.3A$110.2A11.A48.2A14.5A56.A84.A13.A2.A11.A.
A11.2A6.A$110.2A10.A.A48.A13.A111.2A19.2A7.5A14.3A2.A10.2A$122.A.A2.
2A3.A40.A.A12.3A44.2A62.2A19.2A7.A21.3A$121.2A.2A2.A2.A.A40.2A15.A44.
A7.2A85.A18.A$125.A.A3.A.A12.2A40.4A16.A27.A.A5.2A17.A66.2A18.2A$121.
2A.A2.4A.A13.A36.2A3.A3.2A14.3A26.2A22.3A34.2A35.2A$121.2A.A.A3.A13.A
.A15.A20.2A4.3A2.A16.A48.A38.A36.A$125.A.A3.A12.2A16.3A26.A.2A15.2A
48.2A34.3A37.A.2A$126.A.A3.A32.A25.A104.A40.A2.A$127.A3.2A31.2A24.2A
146.2A$152.2A48.2A64.2A83.2A$153.A48.A66.A83.2A$153.A.A26.2A15.2A.A
44.2A20.A.2A118.2A$118.2A34.2A26.A16.A2.3A4.2A36.A13.2A4.3A2.A118.2A$
118.2A56.2A5.3A14.2A3.A3.2A37.3A10.2A3.A3.2A$103.2A71.2A7.A16.4A44.A
15.4A39.2A51.A3.2A$102.A2.A96.A15.2A26.3A.A.2A15.A39.2A50.A.A3.A5.2A
3.2A$101.A.2A98.3A12.A.A2.2A19.3A2.A.A.A12.3A91.A.A3.A7.A3.A$101.A
104.A13.A2.A19.A5.A.A13.A90.2A.A.A3.A5.3A5.3A$100.2A99.5A14.3A2.A18.
3A3.2A14.5A85.2A.A2.4A.A3.A9.A$115.2A84.A21.3A21.A22.A89.A.A3.A.A$98.
4A13.A57.2A28.A18.A23.2A20.A87.2A.2A2.A2.A.A$97.A3.A14.3A24.2A28.A28.
2A18.2A44.2A87.A.A2.2A3.A4.2A$97.2A19.A11.2A11.2A29.3A168.2A10.A.A12.
A.A$131.A44.A61.2A105.2A11.A15.A$128.3A35.2A70.A129.2A3.A.2A$128.A11.
A25.2A2.2A63.2A.A130.A3.A3.A$138.3A29.A.A16.2A44.A2.3A4.2A110.2A10.A.
2A.2A.A$137.A34.A16.A.A44.2A3.A3.2A85.2A24.A11.A.A.A.A$136.A.A33.2A
17.A4.2A14.2A24.4A91.A13.2A6.3A$87.2A47.A.A48.4A.2A2.A2.A11.A.A5.2A
17.A15.2A77.A.A11.2A6.A$86.A.A5.2A41.A49.A2.A.A.A.A.2A11.A7.2A18.3A
12.A.A66.A10.2A$86.A7.2A94.A.A.A.A13.2A30.A13.A64.3A$85.2A104.2A.A.A
40.5A14.2A62.A$195.A28.A12.A82.2A$99.A120.2A.A.A13.A65.2A$95.2A.A.A
20.2A58.2A36.A.A.A.A12.2A66.A$94.A.A.A.A20.2A59.A7.2A24.A2.A.A.A.A.2A
77.A.2A$91.A2.A.A.A.A.2A78.A.A5.2A24.4A.2A2.A2.A78.A2.A$91.4A.2A2.A2.
A79.2A35.A4.2A81.2A$95.A4.2A116.A.A102.2A$93.A.A45.2A75.2A11.2A90.2A$
93.2A46.A.A87.A.A127.2A$143.A89.A4.2A121.2A$134.2A7.2A84.4A.2A2.A2.A$
134.2A93.A2.A.A.A.A.2A90.A3.2A$193.2A37.A.A.A.A92.A.A3.A5.2A3.2A$124.
A.2A44.2A19.A39.2A.A.A91.A.A3.A7.A3.A$122.3A.2A30.2A13.A20.3A40.A88.
2A.A.A3.A5.3A5.3A$121.A36.A.A10.A24.A129.2A.A2.4A.A3.A9.A$122.3A.2A
32.A4.2A4.5A14.2A31.2A105.A.A3.A.A$124.2A2.A27.4A.2A2.A2.A7.A13.A33.A
7.2A92.2A.2A2.A2.A.A$127.A.A26.A2.A.A.A.A.2A4.3A12.A.A33.A.A5.2A93.A.
A2.2A3.A$123.A.2A.A.A28.A.A.A.A6.A15.2A35.2A25.A62.2A10.A.A$123.2A.A
2.A16.2A12.2A.A.A6.4A74.3A62.2A11.A$126.A19.A17.A5.2A3.A3.2A68.A$126.
2A16.A.A22.A2.3A4.2A43.A24.2A$124.2A2.A.A13.2A4.2A17.2A.A49.3A$123.A
2.A2.2A20.A7.2A11.A48.A$124.2A25.A.A5.2A11.2A47.2A34.2A$152.2A81.2A
21.A$235.A22.A.2A$180.2A54.3A11.2A4.3A2.A86.2A$181.A22.2A32.A11.2A3.A
3.2A87.A.A$178.3A23.A50.4A91.A$178.A27.A34.2A15.A85.2A3.A.2A$186.2A
14.5A4.2A27.A.A12.3A87.A3.A3.A$162.2A20.A2.A13.A8.A.A5.2A20.A13.A78.
2A10.A.2A.2A.A$162.A21.2A.A.A12.3A5.A7.2A19.2A14.5A48.2A24.A11.A.A.A.
A$143.2A18.3A20.A.2A15.A3.2A48.A49.A13.2A6.3A$127.2A14.2A20.A20.A15.
4A51.A51.A.A11.2A6.A$128.A55.3A10.2A3.A3.2A15.A33.2A40.A10.2A$125.3A
55.A13.2A4.3A2.A10.2A.A.A72.3A$125.A57.2A20.A.2A9.A.A.A.A71.A$205.A9.
A2.A.A.A.A.2A68.2A$204.2A9.4A.2A2.A2.A53.2A$219.A4.2A56.A$217.A.A62.A
.2A$196.2A19.2A3.A60.A2.A$196.A25.3A59.2A$173.2A22.3A25.A73.2A$127.2A
43.A.A5.2A17.A24.2A23.2A48.2A$128.A43.A7.2A67.A.A85.2A$128.A.A40.2A
78.A4.2A79.2A$126.2A.2A63.2A20.2A29.4A.2A2.A2.A$125.A.A57.A8.A.A19.A
30.A2.A.A.A.A.2A48.A3.2A$125.A.A53.2A.A.A9.A4.2A10.2A.A33.A.A.A.A50.A
.A3.A5.2A3.2A$124.2A.2A20.2A29.A.A.A.A5.4A.2A2.A2.A8.A2.3A4.2A26.2A.A
.A49.A.A3.A7.A3.A$149.A27.A2.A.A.A.A.2A2.A2.A.A.A.A.2A9.2A3.A3.2A30.A
46.2A.A.A3.A5.3A5.3A$124.2A.2A18.A.A27.4A.2A2.A2.A5.A.A.A.A14.4A82.2A
.A2.4A.A3.A9.A$125.A.2A18.2A32.A4.2A8.2A.A.A14.A15.2A7.2A63.A.A3.A.A$
123.A55.A.A18.A16.3A12.A.A7.A7.2A50.2A.2A2.A2.A.A8.2A$123.2A54.2A39.A
13.A7.A.A5.2A51.A.A2.2A3.A9.A.A$186.2A27.5A14.2A7.2A46.2A10.A.A19.A$
147.2A38.A7.2A18.A75.2A11.A14.2A3.A.2A$147.A.A37.A.A5.2A20.A102.A3.A
3.A$149.A38.2A26.2A24.A65.2A10.A.2A.2A.A$149.2A89.3A40.2A24.A11.A.A.A
.A$239.A44.A13.2A6.3A$239.2A43.A.A11.2A6.A$253.2A19.A10.2A$253.A3.A
14.3A$254.4A13.A$107.A90.2A71.2A$107.3A33.2A53.A57.2A$110.A16.A.2A11.
A.A31.2A21.3A55.A$109.2A14.3A.2A11.A34.A23.A27.2A26.A.2A$124.A15.3A
32.A52.A.A5.2A20.A2.A$125.3A.2A8.A3.2A30.5A14.2A32.A7.2A21.2A$101.2A
24.A.A2.A6.4A2.A34.A13.A32.2A45.2A$101.A28.3A9.A.2A31.3A12.A.A79.2A$
98.2A.A37.2A.A33.A15.2A47.A70.2A$98.A2.3A4.2A20.3A7.A.A33.4A57.2A.A.A
69.2A$99.2A3.A3.2A19.A2.A5.A.A.2A30.2A3.A3.2A51.A.A.A.A$101.4A24.2A7.
2A33.A2.3A4.2A48.A2.A.A.A.A.2A37.A3.2A$101.A15.2A54.2A.A56.4A.2A2.A2.
A36.A.A3.A5.2A3.2A$102.3A12.A.A56.A36.2A22.A4.2A37.A.A3.A7.A3.A$105.A
13.A56.2A28.A6.A21.A.A39.2A.A.A3.A5.3A5.3A$100.5A14.2A33.2A11.A38.3A
5.3A18.2A40.2A.A2.4A.A3.A9.A$100.A53.2A10.A.A40.A6.A64.A.A3.A.A$102.A
63.A.A2.2A3.A7.2A22.2A7.2A58.2A.2A2.A2.A.A4.2A$101.2A62.2A.2A2.A2.A.A
7.A33.A58.A.A2.2A3.A5.A.A$169.A.A3.A.A4.3A5.2A27.A46.2A10.A.A15.A$
165.2A.A2.4A.A5.A7.A26.A.2A45.2A7.2A.2A10.2A3.A.2A$165.2A.A.A3.A13.A.
A26.2A2.A51.A2.A14.A3.A3.A$169.A.A3.A12.2A30.2A51.2A2.3A11.A.2A.2A.A$
170.A.A3.A77.2A24.A11.A.A.A.A$171.A3.2A78.A13.2A6.3A$196.2A57.A.A11.
2A6.A$197.A47.A10.2A$197.A.A17.2A24.3A$162.2A34.2A17.A.A22.A$162.2A
55.A22.2A$147.2A70.2A6.2A$146.A2.A78.A$145.A.2A79.A.2A$145.A83.A2.A$
144.2A84.2A$159.2A84.2A$142.4A13.A85.2A$141.A3.A14.3A24.2A94.2A$141.
2A19.A11.2A11.2A94.2A$175.A$172.3A35.2A42.A3.2A$172.A37.2A2.2A37.A.A
3.A5.2A3.2A$214.A.A35.A.A3.A7.A3.A$216.A31.2A.A.A3.A5.3A5.3A$216.2A
30.2A.A2.4A.A3.A9.A$131.2A65.2A52.A.A3.A.A$130.A.A5.2A58.A.A47.2A.2A
2.A2.A.A$130.A7.2A60.A4.2A42.A.A2.2A3.A$129.2A65.4A.2A2.A2.A28.2A10.A
.A$170.A25.A2.A.A.A.A.2A28.2A11.A$143.A26.3A26.A.A.A.A$139.2A.A.A28.A
26.2A.A.A$138.A.A.A.A27.2A30.A$135.A2.A.A.A.A.2A$135.4A.2A2.A2.A42.2A
$139.A4.2A18.2A25.A7.2A71.2A$137.A.A24.A26.A.A5.2A71.A.A$137.2A22.2A.
A27.2A80.A$161.A2.3A4.2A95.2A3.A.2A$162.2A3.A3.2A96.A3.A3.A$164.4A89.
2A10.A.2A.2A.A$164.A15.2A50.2A24.A11.A.A.A.A$165.3A12.A.A2.2A46.A13.
2A6.3A$168.A13.A2.A47.A.A11.2A6.A$163.5A14.3A2.A14.2A19.A10.2A$163.A
21.3A14.A3.A14.3A$165.A18.A18.4A13.A$164.2A18.2A34.2A$205.2A$206.A$
206.A.2A$207.A2.A$208.2A$223.2A$174.2A47.2A$173.A.A5.2A78.2A$173.A7.
2A78.2A$172.2A$232.A3.2A$186.A44.A.A3.A5.2A3.2A$182.2A.A.A42.A.A3.A7.
A3.A$181.A.A.A.A38.2A.A.A3.A5.3A5.3A$178.A2.A.A.A.A.2A35.2A.A2.4A.A3.
A9.A$178.4A.2A2.A2.A39.A.A3.A.A$182.A4.2A37.2A.2A2.A2.A.A$180.A.A44.A
.A2.2A3.A$180.2A33.2A10.A.A$215.2A11.A!
#C [[ ZOOM -1.5 X 100 STEP 32 STOP 5000 ]]

At each construction stage there's a fine art to deciding which two signals should be produced from one signal, and I'm not really good at that yet.

For example, I initially worked my way most of the way up the chain of edge shooters in the NW shotgun, connecting each edge-shooter in succession to the combined circuit -- like this:

x = 829, y = 553, rule = LifeHistory
510.2A11.A$510.2A10.A.A$522.A.A2.2A3.A$521.2A.2A2.A2.A.A$525.A.A3.A.A
$521.2A.A2.4A.A3.A9.A$521.2A.A.A3.A5.3A5.3A$525.A.A3.A7.A3.A$526.A.A
3.A5.2A3.2A$527.A3.2A2$556.2A$556.2A$518.2A$518.2A$503.2A$502.A2.A$
501.A.2A$501.A$500.2A$515.2A$515.A$516.3A$518.A10.2A$528.A.A11.2A6.A$
528.A13.2A6.3A$527.2A24.A11.A.A.A.A$552.2A10.A.2A.2A.A$564.A3.A3.A$
536.2A11.A13.2A3.A.2A$536.2A10.A.A18.A$548.A.A2.2A3.A8.A.A$547.2A.2A
2.A2.A.A7.2A$551.A.A3.A.A$547.2A.A2.4A.A3.A9.A$547.2A.A.A3.A5.3A5.3A$
551.A.A3.A7.A3.A$552.A.A3.A5.2A3.2A$553.A3.2A2$582.2A$582.2A$544.2A$
544.2A$529.2A$528.A2.A$527.A.2A$527.A$526.2A$541.2A$541.A$542.3A$544.
A10.2A$554.A.A11.2A6.A$554.A13.2A6.3A$553.2A24.A11.A.A.A.A$578.2A10.A
.2A.2A.A$590.A3.A3.A$589.2A3.A.2A$557.2A11.A24.A$557.2A10.A.A21.A.A$
569.A.A2.2A3.A13.2A$568.2A.2A2.A2.A.A$572.A.A3.A.A$568.2A.A2.4A.A3.A
9.A$568.2A.A.A3.A5.3A5.3A$572.A.A3.A7.A3.A$573.A.A3.A5.2A3.2A$574.A3.
2A2$603.2A$603.2A$565.2A$565.2A$550.2A$549.A2.A$548.A.2A$548.A$547.2A
$562.2A$562.A$563.3A$565.A10.2A$575.A.A11.2A6.A$575.A13.2A6.3A$574.2A
24.A11.A.A.A.A$599.2A10.A.2A.2A.A$611.A3.A3.A$582.2A11.A14.2A3.A.2A$
582.2A10.A.A19.A$594.A.A2.2A3.A9.A.A$593.2A.2A2.A2.A.A8.2A$597.A.A3.A
.A$593.2A.A2.4A.A3.A9.A$593.2A.A.A3.A5.3A5.3A$597.A.A3.A7.A3.A$598.A.
A3.A5.2A3.2A$599.A3.2A2$628.2A$628.2A$590.2A$590.2A$575.2A$574.A2.A$
573.A.2A$573.A$572.2A$587.2A$587.A$588.3A$590.A10.2A$600.A.A11.2A6.A$
600.A13.2A6.3A$582.2A11.A3.2A24.A11.A.A.A.A$582.2A10.A.A27.2A10.A.2A.
2A.A$594.A.A2.2A3.A31.A3.A3.A$593.2A.2A2.A2.A.A29.2A3.A.2A$597.A.A3.A
.A35.A$593.2A.A2.4A.A3.A9.A20.A.A$593.2A.A.A3.A5.3A5.3A20.2A$597.A.A
3.A7.A3.A$598.A.A3.A5.2A3.2A$599.A3.2A2$628.2A$628.2A$590.2A$590.2A$
575.2A$574.A2.A$573.A.2A$573.A$572.2A$587.2A$587.A$588.3A$590.A10.2A$
600.A.A11.2A6.A$600.A13.2A6.3A$599.2A24.A11.A.A.A.A$624.2A10.A.2A.2A.
A$636.A3.A3.A$635.2A3.A.2A$641.A$639.A.A$639.2A2$612.2A11.A$612.2A10.
A.A$624.A.A2.2A3.A$623.2A.2A2.A2.A.A$627.A.A3.A.A$623.2A.A2.4A.A3.A9.
A$623.2A.A.A3.A5.3A5.3A$627.A.A3.A7.A3.A$628.A.A3.A5.2A3.2A$629.A3.2A
2$658.2A$658.2A$620.2A$620.2A$601.2A2.2A$601.A2.A2.A$602.2A.2A$603.A.
A$603.A.A$604.A12.2A$617.A$618.3A$620.A10.2A$630.A.A11.2A6.A$630.A13.
2A6.3A$612.2A11.A3.2A24.A11.A.A.A.A$612.2A10.A.A27.2A10.A.2A.2A.A$
624.A.A2.2A3.A31.A3.A3.A$623.2A.2A2.A2.A.A29.2A3.A.2A$627.A.A3.A.A35.
A$623.2A.A2.4A.A3.A9.A20.A.A$623.2A.A.A3.A5.3A5.3A20.2A$553.2A72.A.A
3.A7.A3.A$553.A.A72.A.A3.A5.2A3.2A$555.A4.2A67.A3.2A$551.4A.2A2.A2.A$
551.A2.A.A.A.A.2A94.2A$554.A.A.A.A97.2A$555.2A.A.A59.2A$559.A60.2A$
605.2A$545.2A57.A2.A$546.A7.2A47.A.2A$546.A.A5.2A47.A$547.2A53.2A$
617.2A$617.A$574.A43.3A$572.3A45.A10.2A$571.A58.A.A11.2A6.A$571.2A57.
A13.2A6.3A$557.2A70.2A24.A11.A.A.A.A$557.A96.2A10.A.2A.2A.A$558.3A
105.A3.A3.A$560.A76.2A11.A14.2A3.A.2A$637.2A10.A.A19.A$649.A.A2.2A3.A
9.A.A$561.2A85.2A.2A2.A2.A.A8.2A$560.A.A5.2A82.A.A3.A.A$560.A7.2A78.
2A.A2.4A.A3.A9.A$559.2A87.2A.A.A3.A5.3A5.3A$491.2A159.A.A3.A7.A3.A$
492.A33.2A45.A79.A.A3.A5.2A3.2A$490.A36.A41.2A.A.A79.A3.2A$490.5A14.
2A14.A42.A.A.A.A$495.A13.A15.5A14.2A19.A2.A.A.A.A.2A105.2A$460.2A30.
3A12.A.A20.A13.A20.4A.2A2.A2.A105.2A83.D$461.A29.A15.2A18.3A12.A.A24.
A4.2A69.2A122.2D$459.A31.4A31.A15.2A23.A.A75.2A121.2D$459.5A14.2A9.2A
3.A3.2A26.4A37.2A61.2A$464.A13.A9.A2.3A4.2A24.2A3.A3.2A94.A2.A$448.2A
11.3A12.A.A9.2A.A31.A2.3A4.2A93.A.2A$447.A.A10.A15.2A13.A31.2A.A101.A
$441.2A4.A12.4A27.2A33.A100.2A$439.A2.A2.2A.4A6.2A3.A3.2A57.2A114.2A$
439.2A.A.A.A.A2.A5.A2.3A4.2A173.A$442.A.A.A.A8.2A.A38.2A142.3A$442.A.
A.2A12.A39.A33.2A29.2A78.A10.2A$443.A16.2A35.3A35.A30.A88.A.A11.2A6.A
$497.A34.3A29.A90.A13.2A6.3A$456.2A74.A31.5A14.2A63.2A4.2A5.A18.A11.A
.A.A.A$447.2A7.A11.2A99.A13.A64.2A10.A.A16.2A10.A.2A.2A.A$447.2A5.A.A
12.A96.3A12.A.A76.A.A2.2A3.A20.A3.A3.A$454.2A10.3A96.A15.2A76.2A.2A2.
A2.A.A18.2A3.A.2A$466.A98.4A94.A.A3.A.A24.A$563.2A3.A3.2A85.2A.A2.4A.
A3.A9.A9.A.A$562.A2.3A4.2A85.2A.A.A3.A5.3A5.3A9.2A$562.2A.A97.A.A3.A
7.A3.A$565.A98.A.A3.A5.2A3.2A$565.2A98.A3.2A$444.2A18.2A$445.A18.A
229.2A$442.3A21.A106.2A119.2A$442.A2.3A14.5A107.A28.2A51.2A$444.A2.A
13.A109.3A30.A51.2A$443.2A2.A.A12.3A106.A30.A38.2A$448.2A15.A136.5A
14.2A17.A2.A$462.4A141.A13.A17.A.2A$457.2A3.A3.2A136.3A12.A.A17.A$
457.2A4.3A2.A134.A15.2A17.2A$465.A.2A134.4A26.2A18.2A$465.A135.2A3.A
3.2A22.A18.A147.D$464.2A134.A2.3A4.2A20.A21.3A142.D.D$600.2A.A28.5A
14.3A2.A10.2A131.2D$603.A33.A13.A2.A11.A.A11.2A6.A25.D.D$456.2A145.2A
29.3A12.A.A2.2A10.A13.2A6.3A24.2D$456.A176.A15.2A14.2A24.A11.A.A.A.A
5.D$457.3A173.4A53.2A10.A.2A.2A.A$459.A151.2A18.2A3.A3.2A60.A3.A3.A$
478.2A132.A17.A2.3A4.2A59.2A3.A.2A$478.A.A128.3A18.2A.A73.A$480.A4.2A
122.A23.A71.A.A$476.4A.2A2.A2.A144.2A70.2A5.2A$476.A2.A.A.A.A.2A222.A
.A$479.A.A.A.A219.2A4.A57.D.D$480.2A.A.A155.2A60.A2.A2.2A.4A54.2D$
484.A157.A60.2A.A.A.A.A2.A54.D$639.3A64.A.A.A.A$470.2A167.A66.A.A.2A$
471.A7.2A142.2A82.A$352.2A117.A.A5.2A119.2A21.A$353.A118.2A126.A24.A
94.2A$351.A250.A2.2A14.5A85.2A7.A88.D$351.5A14.2A210.2A14.5A3.A13.A
90.2A5.A.A89.D$356.A13.A212.A13.A8.A.A12.3A94.2A88.3D$353.3A12.A.A
212.A.A12.3A6.2A15.A$352.A15.2A202.2A10.2A15.A19.4A$352.4A216.A25.4A
14.2A3.A3.2A161.D$350.2A3.A3.2A121.2A90.A18.2A3.A3.2A12.2A4.3A2.A161.
D$349.A2.3A4.2A121.A71.2A14.5A18.2A4.3A2.A19.A.2A159.3D$349.2A.A130.
3A69.A13.A31.A.2A19.A$352.A132.A69.A.A12.3A28.A21.2A83.2A$352.2A202.
2A15.A26.2A107.A$457.2A84.2A25.4A132.3A$458.A84.A21.2A3.A3.2A39.2A89.
A24.2A$360.2A17.A76.A88.A19.2A4.3A2.A15.2A21.A115.A$361.A17.3A74.5A
14.2A48.2A14.5A27.A.2A15.A23.3A114.A29.D62.D$358.3A21.A78.A13.A50.A
13.A32.A19.3A22.A63.A30.2A14.5A30.D62.2D$358.A22.2A75.3A12.A.A50.A.A
12.3A28.2A21.A86.3A29.A13.A33.3D61.2D$457.A15.2A52.2A15.A140.A28.A.A
12.3A$457.4A80.4A139.2A29.2A15.A$455.2A3.A3.2A70.2A3.A3.2A17.2A163.4A
$454.A2.3A4.2A70.2A4.3A2.A16.A159.2A3.A3.2A$454.2A.A86.A.2A17.3A156.
2A4.3A2.A$457.A86.A22.A14.2A148.A.2A$391.2A64.2A61.A22.2A38.A148.A$
384.2A5.A.A124.3A60.A149.2A$384.2A7.A123.A63.5A14.2A92.2A$393.2A70.2A
50.2A16.2A49.A13.A86.2A5.A.A$466.A68.A47.3A12.A.A8.2A76.2A7.A26.2A$
380.A82.3A70.3A43.A15.2A9.2A85.2A25.A56.D$379.A.A.2A78.A74.A43.4A138.
3A54.2D$379.A.A.A.A194.2A3.A3.2A92.A42.A53.2D$376.2A.A.A.A.A2.A190.A
2.3A4.2A91.A.A.2A$376.A2.A2.2A.4A190.2A.A99.A.A.A.A$378.2A4.A122.2A
73.A96.2A.A.A.A.A2.A$384.A.A119.A.A5.2A66.2A95.A2.A2.2A.4A$385.2A119.
A7.2A165.2A4.A9.A$505.2A180.A.A5.3A$590.2A96.2A4.A$519.A71.A102.2A$
515.2A.A.A67.3A4.2A$405.2A11.A95.A.A.A.A67.A5.A.A57.A$405.2A10.A.A83.
2A6.A2.A.A.A.A.2A70.A59.3A$417.A.A2.2A3.A75.A7.4A.2A2.A2.A69.2A62.A$
416.2A.2A2.A2.A.A76.A9.A4.2A122.A11.2A11.2A$420.A.A3.A.A12.2A42.2A14.
5A7.A.A126.3A24.2A$416.2A.A2.4A.A13.A44.A13.A12.2A126.A$416.2A.A.A3.A
13.A.A44.A.A12.3A137.2A$420.A.A3.A12.2A46.2A15.A121.2A$421.A.A3.A73.
4A29.2A78.2A11.A74.2A$422.A3.2A68.2A3.A3.2A28.A78.A12.A.2A68.2A2.A$
496.2A4.3A2.A25.A81.3A10.A2.A67.A.2A$447.2A55.A.2A25.5A14.2A63.A11.2A
$448.A14.2A39.A33.A13.A91.2A54.3A$413.2A33.A.A12.2A38.2A30.3A12.A.A
91.2A53.A2.A$413.2A34.2A83.A15.2A148.2A$398.2A61.4A69.4A60.2A$397.A2.
A59.A3.A30.2A35.2A3.A3.2A54.A.A23.A$396.A.2A61.A33.A35.A2.3A4.2A54.A
23.3A29.A3.2A19.A.2A$396.A62.A.A34.3A32.2A.A61.2A22.A31.A.A3.A17.3A.
2A$395.2A62.2A37.A35.A69.2A14.2A29.A.A3.A12.2A3.A$390.2A18.2A51.2A.2A
66.2A68.2A41.2A.A.A3.A13.A.A3.3A.2A13.2A.A$391.A18.A53.A.A180.2A.A2.
4A.A13.A5.A.A14.2A.3A$389.A21.3A24.2A24.A.A184.A.A3.A.A12.2A4.A.A20.A
$389.5A14.3A2.A11.2A11.2A25.A76.2A103.2A.2A2.A2.A.A19.A15.2A.3A$394.A
13.A2.A14.A42.A73.A104.A.A2.2A3.A37.A.A$391.3A12.A.A2.2A10.3A4.A36.3A
70.3A93.2A10.A.A45.A.A$390.A15.2A15.A6.3A33.A73.A95.2A11.A47.A$390.4A
39.A32.2A27.2A$348.2A38.2A3.A3.2A33.2A61.2A$349.A37.A2.3A4.2A93.A$
347.A39.2A.A101.5A14.2A110.2A$347.5A14.2A22.A33.2A71.A13.A106.2A2.A2.
A$352.A13.A23.2A32.A69.3A12.A.A8.2A81.2A13.A.A2.2A$349.3A12.A.A54.2A.
A68.A15.2A9.2A80.A.A16.2A$348.A15.2A55.A2.3A4.2A23.2A35.4A76.2A27.A
19.A$348.4A46.2A22.2A3.A3.2A22.A.A5.2A26.2A3.A3.2A71.2A26.2A16.A2.A.
2A$346.2A3.A3.2A42.A24.4A27.A7.2A25.A2.3A4.2A116.A.A.2A.A$345.A2.3A4.
2A39.3A25.A15.2A12.2A34.2A.A125.A.A$345.2A.A47.A28.3A12.A.A50.A126.A
2.2A$348.A79.A13.A25.A24.2A90.2A34.2A.3A$348.2A73.5A14.2A20.2A.A.A89.
2A24.2A7.2A31.A$423.A39.A.A.A.A90.A33.A26.2A.3A$425.A34.A2.A.A.A.A.2A
28.2A57.A.A29.A.A26.2A.A$356.2A66.2A34.4A.2A2.A2.A29.A47.A10.2A29.2A$
357.A106.A4.2A28.3A4.2A40.3A62.2A$354.3A105.A.A34.A5.A.A39.A56.2A7.2A
$354.A107.2A41.A41.2A53.A2.A$504.2A26.2A68.2A.A.A$485.2A11.A34.A70.A.
2A$485.2A10.A.A33.A.2A67.A$497.A.A2.2A3.A26.A2.A46.A17.3A$496.2A.2A2.
A2.A.A26.2A46.A.A.2A12.A$500.A.A3.A.A41.2A29.3A.A.A13.2A23.2A$496.2A.
A2.4A.A17.2A23.2A28.A3.A4.A36.2A$496.2A.A.A3.A19.A55.A2.A.4A$500.A.A
3.A19.3A44.2A7.A.A.A$501.A.A3.A20.A44.2A2.2A4.A3.3A$502.A3.2A51.A3.2A
12.A.A9.A$558.A.A3.A14.A31.A$557.A.A3.A15.2A10.2A17.A.A$553.2A.A.A3.A
27.A.A5.2A10.A.A$493.2A58.2A.A2.4A.A25.A7.2A11.A$493.2A62.A.A3.A.A23.
2A17.3A$478.2A73.2A.2A2.A2.A.A42.A$477.A2.A73.A.A2.2A3.A38.A$476.A.2A
62.2A10.A.A42.2A.A.A$408.A67.A65.2A11.A42.A.A.A.A$408.3A5.2A57.2A118.
A2.A.A.A.A.2A$411.A4.2A36.2A34.2A9.2A21.2A69.4A.2A2.A2.A$410.2A42.A
18.4A13.A9.A.A21.2A73.A4.2A$456.A15.A3.A14.3A6.A17.2A77.A.A$436.2A14.
5A15.2A19.A5.2A17.2A77.2A$437.A13.A$375.A61.A.A12.3A$352.A22.3A60.2A
15.A64.2A$353.A24.A73.4A57.2A5.2A$351.3A11.A11.2A11.2A55.2A3.A3.2A55.
2A$363.3A24.2A55.2A4.3A2.A$362.A70.A21.A.2A3.2A$362.2A67.3A21.A5.A.A
5.2A$347.2A81.A23.2A5.A7.2A$348.A81.2A28.2A$348.A.2A$349.A2.A93.2A26.
A$350.2A94.A23.2A.A.A$365.2A80.3A19.A.A.A.A$365.2A34.2A46.A16.A2.A.A.
A.A.2A$400.A.A63.4A.2A2.A2.A$400.A19.2A48.A4.2A$399.2A8.A.2A6.A.A5.2A
39.A.A$374.A3.2A27.3A.2A6.A7.2A39.2A$373.A.A3.A26.A11.2A$372.A.A3.A
12.2A14.3A.2A$368.2A.A.A3.A13.A.A15.A.A20.A$368.2A.A2.4A.A13.A15.A.A
16.2A.A.A$372.A.A3.A.A12.2A15.A16.A.A.A.A$368.2A.2A2.A2.A.A43.A2.A.A.
A.A.2A$369.A.A2.2A3.A44.4A.2A2.A2.A$357.2A10.A.A56.A4.2A$357.2A11.A
55.A.A$426.2A116$2A$.2A$A21$32.2A$31.A.A$33.A!
#C [[ AUTOFIT STATE1FIT STEP 32 STOP 3111 ]]

At this point I was almost done, with just two gliders left to connect in the NW shotgun -- but I'd gotten stuck with a bad connection order. It was requiring longer and longer delay circuits for each new edge shooter I connected up.

It was much better to use up some of that extra time by ripping out the last two circuits, and instead connecting several of the NW-most signals together, and then adding just one final connection to the new combined circuit.
dvgrn
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Location: Madison, WI

Re: Implications of a Three-Glider Switch Engine

Postby chris_c » March 25th, 2017, 1:18 pm

dvgrn wrote:I'm having some trouble with the circuitry that creates the central switch engine on the swimmer lane. The old complicated way was five gliders (left, below). The new simple way is ... a lot faster, but still five gliders, as far as I can figure out (right, below). Am I missing any good tricks to reduce the number of synchronized signals needed here?


This gets down to four signals but after quite a bit of searching I haven't been able to make an H in the necessary spacetime location:

x = 59, y = 63, rule = LifeHistory
35.2A$35.A.A$36.A6$27.2A$27.A.A$28.A3$57.A$56.A.A$57.2A$19.2A$19.A.A$
20.A2$28.3D$29.D19.A$26.D2.D18.A.A$26.D2.D19.2A$26.D.D5$41.A$40.A.A$
41.2A7$24.2A30.2C$24.2A30.C.C$56.C2$7.C15.A$7.2C13.A.A$6.C.C14.A$20.
3A$20.A24.2A$45.2A2$24.C$24.C.C$24.3C$.2C23.C$C.C$2.C7$35.2A$35.2A!
chris_c
 
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Re: Implications of a Three-Glider Switch Engine

Postby dvgrn » March 25th, 2017, 2:30 pm

chris_c wrote:This gets down to four signals but after quite a bit of searching I haven't been able to make an H in the necessary spacetime location...

Huh, yeah, I see the problem. It almost works --

x = 123, y = 84, rule = LifeHistory
4.4B62.2A$5.4B61.A.A$6.4B6.2A53.A$7.4B.B4.A$8.7B2.A.AB$9.6B3.A.AB.B$
9.2B3D2B3.A3B2A$9.2BD4B2.3B.B2A$9.B3D7B3.B38.2A$9.12B41.A.A$9.12B42.A
$9.12B51.B$10.11B45.B.3B3D$13.9B43.7BD2B17.A$12.10B.2B9.2B28.5BD2BD2B
16.A.A$.3B4.B.16B7.3B27.6BD2BD2B17.2A$.28B3.4B18.2A6.7BDBD4B$2A33B19.
A.A4.16B$2A32B21.AB3.16B$.B.30B23.16B2D4B$3.29B21.8B6.5BDBD5B$5.25B
23.8B11.D7B4.A$6.B5.17B24.8B12.6B4.A.A$15.14B24.8BD12.4B6.2A$15.14B
24.8B2D12.4B$16.2B4.3B28.7BDBD12.5B$15.2B6.B29.14B10.4B$14.B2AB35.14B
11.4B$15.2A36.13B13.4B$53.10B13.A3.4B$53.9B8.3D2.A.A3.4B$53.8B9.D3B2.
2A4.4B$53.7B10.BD2B9.4B$53.2B2D2B11.5B9.4B$35.A14.4BDBD2B10.9B7.4B$
35.3A13.5BDB11.9B8.4B$38.A15.4B11.9B9.4B$37.2A4.2B9.B.B11.10B10.4B$
33.B3.8B8.B5.2A6.12B10.2B$31.4B4.7B12.B2AB5.13B10.B$30.6B.9B13.2B7.
11B$30.6B.10B11.2B6.12B$29.19B9.BA2B.16B$28.19B10.A.A18B$28.17B13.A.
18B$29.18B8.3A3.18B.B$27.19B9.A5.19B2A$25.21B13.19B.B2A$25.2BC21B3.2B
2.20B4.B$25.2BCBC4B.24BD16B$25.2B3C4B2.23BDBD4B.9B$25.4BC4B2.23B3D4B
2.7B$25.8B3.25BD4B2.7B$25.B9.30B4.6B$34.19B.4B10.7B$33.16B4.4B12.6B$
20.2A10.4B.9B23.7B$21.A11.2B.11B5.2A15.6B$18.3A12.B3.7B.B2A5.A15.5B$
18.A20.4B2.BA.A.3A15.6B$38.B2A2B5.A.A17.4B$39.2A7.2A18.2B2AB$70.2A5$
120.2C$120.CBC$120.CB$15.C$12.BC$12.B2C$12.CBC$9.3B$9.3B$9.3B$9.3B$9.
3B$9.3B$9.3B$7.2C$6.CBC$7.BC!
#C [[ AUTOSTART STOP 192 ]]

-- but if you re-enable the disabled glider, it hits the active reaction in the F116 component... and if you try to insert it later, the NW31 edge shooter doesn't _quite_ fit, no other edge shooters are even close, and the NW31 insertion reaction isn't compatible with the other glider anyway.

Really good try fitting the first boat in the swimmer track, into the indentation on the NW31 inserter, though! In a just world, it _would_ be possible to make this work.

-- Well, five synchronized signals is almost as easy as four. Someday a direct H-to-swimmer converter will come along, and then even a four-glider solution will just have to be thrown away anyway. (Sour grapes...)

At the other end of Calcyman's converter, by the way, it seems like a good idea to add one more signal than the five that I posted, just to keep the repeat time down:

x = 205, y = 198, rule = LifeHistory
63.C$52.C8.C.C$53.C8.2C$51.3C14$41.E$39.E.E$40.2E35$108.D$105.4D$104.
D3.D2$104.3D18$136.3D$137.D$134.D2.D$134.D2.D$134.D.D$88.2A$88.A.A$
89.A6$80.2A$80.A.A$81.A12.A$94.A$85.A8.A$85.A.A22.A$84.A3.A2.3A15.A.A
$86.5A.A17.2A$72.2A12.A$72.A.A15.2A$73.A3$58.C43.A$58.2C41.A.A$57.C.C
42.2A$64.2A$64.A.A$65.A$48.2C$47.C.C$49.C44.A$93.A.A$94.2A$56.2A$56.A
.A$57.A3$86.A$85.A.A$86.2A$48.2A$48.A.A$49.A3$78.A$77.A.A$78.2A$40.2A
$40.A.A$41.A2$202.3C$70.A131.C$69.A.A131.C$70.2A$32.2A42.2C$32.A.A42.
2C$33.A42.C2$2E$.2E59.A$E60.A.A137.2C$62.2A137.C.C$201.C2$70.3C$72.C$
71.C$54.A$53.A.A$54.2A3$185.3E$185.E$186.E37$38.E$38.2E$37.E.E!
#C [[ STEP 5 ]]
dvgrn
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Re: Implications of a Three-Glider Switch Engine

Postby calcyman » March 25th, 2017, 2:37 pm

dvgrn wrote:
chris_c wrote:This gets down to four signals but after quite a bit of searching I haven't been able to make an H in the necessary spacetime location...

Huh, yeah, I see the problem. It almost works ---- but if you re-enable the disabled glider, it hits the active reaction in the F116 component... and if you try to insert it later, the NW31 edge shooter doesn't _quite_ fit, no other edge shooters are even close, and the NW31 insertion reaction isn't compatible with the other glider anyway.


You can move the location of the kickback by 8n full-diagonals NE and solve all of the problems.
What do you do with ill crystallographers? Take them to the mono-clinic!
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calcyman
 
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Re: Implications of a Three-Glider Switch Engine

Postby BlinkerSpawn » March 25th, 2017, 4:07 pm

Indeed it does:
x = 117, y = 88, rule = LifeHistory
76.B$75.3B$75.4B$75.5B$64.2A10.5B$64.A.A9.6B$65.A9.8B$74.5B.4B$73.5B
3.4B$72.5B5.4B$71.5B7.4B$70.5B9.4B$56.2A11.5B11.4B$56.A.A9.5B13.4B$
57.A9.5B15.4B$66.5B17.4B$60.B.3B3D2B19.4B$59.7BD2B17.A3.4B$58.5BD2BD
2B16.A.A3.4B$57.6BD2BD2B17.2A4.4B$48.2A6.7BDBD4B23.4B$48.A.A4.16B23.
4B$49.AB3.16B25.4B$50.22B24.4B$49.25B23.4B$48.26B4.A19.4B$48.25B4.A.A
19.4B$47.25B6.2A20.4B$48.23B30.4B$48.22B32.4B$47.22B34.4B$47.22B35.4B
$48.12B.7B37.4B$47.10B5.4B4.A35.4B$48.8B7.B3D2.A.A35.4B$47.8B9.D3B2.
2A36.4B$46.8B10.BD2B41.4B$45.8B11.5B41.4B$29.A14.9B10.9B39.4B$29.3A
11.9B11.9B40.2B2C$32.A9.10B11.9B41.BCBC$31.2A4.2B2.8B.B11.10B42.CB$
27.B3.8B.8B5.2A6.12B$25.4B4.6BC7B5.B2AB5.13B$24.6B.8B2C5B7.2B7.11B$
24.6B.7BCBC4B7.2B6.12B$23.21B7.BA2B.16B$22.21B8.A.A18B$22.20B10.A.18B
$23.18B8.3A3.18B.B$21.19B9.A5.19B2A$19.21B13.19B.B2A$19.2BC21B3.2B2.
20B4.B$18.3BCBC4B.24BD16B$19.2B3C4B2.23BDBD4B.9B$18.5BC4B2.23B3D4B2.
7B$17.10B3.25BD4B2.7B$16.4B9.30B4.6B$16.3B9.19B.4B10.7B$14.4B9.16B4.
4B12.6B$14.2A10.4B.9B6.4B13.7B$15.A9.4B.11B5.2A15.6B$12.3A9.4B3.7B.B
2A5.A15.5B$12.A10.4B6.4B2.BA.A.3A15.6B$22.4B6.B2A2B5.A.A17.4B$21.4B8.
2A7.2A18.2B2AB$20.4B40.2A$19.4B$18.4B$17.4B$16.4B$15.4B$14.4B$13.4B$
12.4B$11.4B$10.4B$9.4B$8.4B$7.4B$6.4B$5.4B$4.4B$3.4B$2.4B$.2C2B$CBCB$
.BC!
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]
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BlinkerSpawn
 
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Re: Implications of a Three-Glider Switch Engine

Postby dvgrn » March 25th, 2017, 9:21 pm

calcyman wrote:You can move the location of the kickback by 8n full-diagonals NE and solve all of the problems.

BlinkerSpawn wrote:Indeed it does...

Hmm. Considerable damage is done to the repeat time, though. That could be a problem for any most-likely-nonexistent cases where we just want a swimmer without necessarily turning it into a Cordership. The repeat time is 322 ticks for the closer spacing, 578 ticks for the wider.

The glider-to-Cordership converter I just posted has a repeat time way up at 635 ticks, so I suppose I shouldn't complain. However, I'm happy to report that there's a solution for four signals at 322 ticks, so there's justice in the world after all:

x = 618, y = 618, rule = LifeHistory
2.C$C.C$.2C78$82.C$83.C$81.3C13$482.C$480.3C$479.C$479.2C5$459.2A$
459.A.A$460.A6$451.2A$451.A.A$452.A3$481.A$480.A.A$481.2A$443.2A$443.
A.A$444.A3$473.A$472.A.A$473.2A$435.2A$435.A.A$436.A3$465.A$464.A.A$
465.2A$427.2A$427.A.A$428.A3$457.A$456.A.A$457.2A$419.2A$419.A.A$420.
A3$449.A$448.A.A$449.2A$411.2A$411.A.A$412.A3$441.A$440.A.A$441.2A$
403.2A$403.A.A$163.C240.A$161.C.C$162.2C$433.A$432.A.A$433.2A$395.2A$
395.A.A$396.A3$425.A$424.A.A$425.2A$387.2A$387.A.A$388.A3$417.A$416.A
.A$417.2A$379.2A$379.A.A$380.A3$409.A$408.A.A$409.2A$371.2A$371.A.A$
372.A3$401.A$400.A.A$401.2A$363.2A$363.A.A$364.A3$393.A$392.A.A$393.
2A$355.2A$355.A.A$356.A3$385.A$384.A.A$385.2A$347.2A$347.A.A$348.A3$
377.A$376.A.A$377.2A$339.2A$339.A.A$340.A3$369.A$368.A.A$369.2A$331.
2A$331.A.A$332.A3$361.A$360.A.A$361.2A$323.2A$323.A.A$324.A3$254.A98.
A$254.3A95.A.A$257.A95.2A$256.A.A56.2A$256.A.A56.A.A$257.A58.A3$345.A
$344.A.A$272.2A71.2A$272.2A33.2A$307.A.A$308.A2$252.2A$251.A.A83.A$
251.A84.A.A$250.2A7.2A76.2A$259.2A38.2A$299.A.A$267.2A.A29.A$267.2A.
3A$273.A$267.2A.3A56.A$266.A2.2A57.A.A$265.A.A61.2A$264.A.A.2A.A19.2A
$247.2A16.A2.A.2A19.A.A$248.A19.A23.A$248.A.A16.2A$249.2A13.A.A2.2A$
264.2A2.A2.A49.A$269.2A49.A.A$321.2A$283.2A$283.A.A$284.A3$313.A$312.
A.A$313.2A$250.2A23.2A$250.2A14.2A7.A.A$242.2A22.A9.A$243.A23.3A23.2C
$243.A.A23.A23.C.C$244.2A47.C11.A$304.A.A$260.2A20.C22.2A$260.A21.2C$
258.A.A20.C.C$243.A14.2A$243.3A$230.2A14.A$231.A13.2A50.A$231.A.A57.
3C2.A.A$232.2A2.2A53.C5.2A$236.2A54.C$276.2C$275.C.C$277.C$231.2A4.2A
$231.2A4.2A$280.2A$280.2A3$279.A$278.A.A$232.2A45.A$231.A.A42.3A$231.
A44.A24.2A$230.2A69.2A4$264.2A3.2A$264.2A3.2A6$320.2A$319.A.A$261.2A
50.2A4.A$261.2A13.2A13.2A18.A2.A2.2A.4A$276.2A13.2A18.2A.A.A.A.A2.A$
314.A.A.A.A$279.2A33.A.A.2A$279.2A34.A$227.2A$228.A99.2A$226.A54.A37.
2A7.A$226.5A14.2A33.A.A36.2A5.A.A$231.A13.A35.A44.2A$228.3A12.A.A14.
2A20.3A$227.A15.2A15.2A22.A$227.4A$225.2A3.A3.2A$224.A2.3A4.2A$224.2A
.A$227.A68.A19.2A$227.2A67.3A14.A3.A$299.A13.4A$298.2A$235.2A76.2A$
236.A76.A$233.3A74.2A.A$233.A75.A2.A$261.2A47.2A$262.A32.2A$259.3A4.
2A3.2A22.2A$259.A6.A4.A2.A$264.A.A5.3A$264.2A$271.A.2A7.2A3.A$271.2A.
A7.A3.A.A$283.A3.A.A$284.A3.A.A.2A$282.A.4A2.A.2A$281.A.A3.A.A$281.A.
A2.A2.2A.2A$282.A3.2A2.A.A$290.A.A10.2A$291.A11.2A30$377.2C$377.C.C$
377.C48$454.2C$454.C.C$454.C$349.C$348.2C$348.C.C26$457.3C$457.C$458.
C48$534.3C$534.C$535.C$429.2C$428.2C$430.C25$538.2C$538.C.C$538.C48$
615.2C$615.C.C$615.C$510.C$509.2C$509.C.C!
#C [[ STEP 5 AUTOFIT STATE1FIT STOP 4500 ]]

EDIT: I put a finished converter along these lines on the Construction Practice thread, with a walkthrough of how to build it, or something vaguely like it. Here are the two working models again:

x = 561, y = 247, rule = LifeHistory
237.E321.E$235.3E319.3E$234.E321.E$234.2E320.2E5$214.2A320.2A$214.A.A
319.A.A$215.A321.A6$206.2A320.2A$206.A.A319.A.A$207.A321.A3$236.A321.
A$235.A.A319.A.A$236.2A320.2A$103.2A11.A81.2A225.2A11.A81.2A$103.2A
10.A.A80.A.A224.2A10.A.A80.A.A$115.A.A2.2A3.A73.A237.A.A2.2A3.A73.A$
114.2A.2A2.A2.A.A309.2A.2A2.A2.A.A$118.A.A3.A.A313.A.A3.A.A$114.2A.A
2.4A.A102.A207.2A.A2.4A.A102.A$114.2A.A.A3.A103.A.A206.2A.A.A3.A103.A
.A$118.A.A3.A103.2A210.A.A3.A103.2A$119.A.A3.A64.2A249.A.A3.A64.2A$
120.A3.2A19.2A43.A.A249.A3.2A19.2A43.A.A$139.A6.A44.A269.A6.A44.A$
137.3A6.A.A.A308.3A6.A.A.A$136.A8.2A.2A.A306.A8.2A.2A.A$111.2A23.2A
13.A68.A212.2A23.2A13.A68.A$111.2A32.2A.3A68.A.A211.2A32.2A.3A68.A.A$
96.2A47.2A.A71.2A196.2A47.2A.A71.2A$95.A2.A83.2A233.A2.A83.2A$94.A.2A
84.A.A231.A.2A84.A.A$94.A88.A232.A88.A$93.2A50.2A268.2A50.2A$108.2A
35.2A283.2A35.2A$108.A103.A217.A103.A$109.3A99.A.A217.3A99.A.A$111.A
11.2A87.2A219.A11.2A87.2A$83.2A39.A49.2A229.2A39.A49.2A$83.2A36.3A8.
2A14.2A24.A.A228.2A36.3A8.2A14.2A24.A.A$121.A11.A14.A.A24.A267.A11.A
14.A.A24.A$73.2A55.3A17.A244.2A55.3A17.A$74.A55.A10.2A7.2A244.A55.A
10.2A7.2A$74.A.A64.2A61.A191.A.A64.2A61.A$75.2A126.A.A191.2A126.A.A$
204.2A320.2A$166.2A320.2A$166.A.A319.A.A$96.2A69.A250.2A69.A$96.A321.
A$75.A.2A15.A.A34.2A264.A.2A15.A.A34.2A$73.3A.2A15.2A36.A63.A198.3A.
2A15.2A36.A63.A$72.A59.A.A60.A.A196.A59.A.A60.A.A$73.3A.2A54.2A61.2A
197.3A.2A54.2A61.2A$75.A.A3.2A75.2A237.A.A3.2A75.2A$75.A.A2.A.A75.A.A
236.A.A2.A.A75.A.A$76.A3.A78.A238.A3.A78.A$79.2A95.2D223.2A95.2D$132.
A43.D.D275.A43.D.D$132.3A41.D11.A265.3A41.D11.A$119.2A14.A51.A.A251.
2A14.A51.A.A$120.A13.2A29.D22.2A252.A13.2A29.D22.2A$120.A.A42.2D275.A
.A42.2D$83.2A36.2A2.2A37.D.D238.2A36.2A2.2A37.D.D$82.A.A40.2A277.A.A
40.2A$82.A321.A$81.2A320.2A$180.A321.A$120.2A4.2A46.3D2.A.A260.2A4.2A
46.3D2.A.A$120.2A4.2A46.D5.2A260.2A4.2A46.D5.2A$175.D321.D$99.2A58.2D
260.2A58.2D$99.A.A56.D.D260.A.A56.D.D$101.A58.D262.A58.D$101.2A320.2A
$103.A321.A$101.3A17.2A40.2A258.3A17.2A40.2A$100.A19.A.A40.2A257.A19.
A.A40.2A$43.2A55.2A18.A301.2A18.A$43.A.A73.2A320.2A$45.A4.2A110.A321.
A$41.4A.2A2.A2.A107.A.A319.A.A$41.A2.A.A.A.A.2A108.A50.2A269.A50.2A$
44.A.A.A.A108.3A51.A267.3A51.A$45.2A.A.A51.2A55.A24.2A29.A208.2A55.A
24.2A29.A$49.A52.2A80.2A9.2A14.5A208.2A80.2A9.2A14.5A$78.2A53.A62.A
13.A189.2A53.A62.A13.A$35.2A40.A.A51.3A62.A.A12.3A185.A.A51.3A62.A.A
12.3A$36.A7.2A31.A52.A66.2A15.A184.A52.A66.2A15.A$36.A.A5.2A30.2A52.
2A15.2A3.2A57.4A183.2A52.2A15.2A3.2A57.4A$37.2A108.2A3.2A52.2A3.A3.2A
252.2A3.2A52.2A3.A3.2A$206.2A4.3A2.A310.2A4.3A2.A$214.A.2A318.A.2A$
102.2A110.A209.2A110.A$97.2A2.A2.A108.2A204.2A2.A2.A108.2A$97.A.A2.2A
315.A.A2.2A$100.2A18.2A261.2A37.2A18.2A$47.2A52.A17.A.A5.2A76.2A176.A
.A37.A17.A.A5.2A76.2A$47.A50.A2.A.2A14.A7.2A15.2A59.A179.A4.2A28.A2.A
.2A14.A7.2A15.2A59.A$48.3A46.A.A.2A.A13.2A24.2A13.2A13.2A30.3A172.4A.
2A2.A2.A25.A.A.2A.A13.2A24.2A13.2A13.2A30.3A$50.A47.A.A58.2A13.2A3.2A
27.A172.A2.A.A.A.A.2A26.A.A58.2A13.2A3.2A27.A$99.A2.2A28.A47.A203.A.A
.A.A30.A2.2A28.A47.A$100.2A.3A22.2A.A.A44.A206.2A.A.A31.2A.3A22.2A.A.
A44.A$106.A20.A.A.A.A44.5A14.2A190.A38.A20.A.A.A.A44.5A14.2A$100.2A.
3A18.A2.A.A.A.A.2A46.A13.A224.2A.3A18.A2.A.A.A.A.2A46.A13.A$100.2A.A
20.4A.2A2.A2.A43.3A12.A.A177.2A45.2A.A20.4A.2A2.A2.A43.3A12.A.A$128.A
4.2A44.A15.2A179.A7.2A64.A4.2A44.A15.2A$92.2A30.2A2.A50.4A193.A.A5.2A
28.2A30.2A2.A50.4A$83.2A7.2A29.A2.A.2A47.2A3.A3.2A189.2A26.2A7.2A29.A
2.A.2A47.2A3.A3.2A$81.A2.A39.2A2.A14.2A31.A2.3A4.2A215.A2.A39.2A2.A
14.2A31.A2.3A4.2A$81.2A.A.A41.A4.2A8.2A31.2A.A223.2A.A.A41.A4.2A8.2A
31.2A.A$83.A.2A37.4A.2A2.A2.A42.A225.A.2A37.4A.2A2.A2.A42.A$83.A40.A
2.A.A.A.A.2A42.2A224.A40.A2.A.A.A.A.2A42.2A$81.3A43.A.A.A.A269.3A43.A
.A.A.A$80.A47.2A.A.A268.A47.2A.A.A$80.2A23.2A25.A54.2A198.2A13.2A23.
2A25.A54.2A$105.2A69.A11.A198.A39.2A69.A11.A$118.2A56.3A6.3A200.3A49.
2A56.3A6.3A$119.A7.2A50.A5.A8.A195.A50.A7.2A50.A5.A8.A$119.A.A5.2A8.
2A39.2A12.3A246.A.A5.2A8.2A39.2A12.3A$120.2A15.A.A51.A250.2A15.A.A51.
A$3.2A85.A48.A51.2A219.A48.A51.2A$4.A65.2A17.A.A47.2A251.2A17.A.A47.
2A$2.A66.A.A5.2A10.A.A49.A2.2A245.A.A5.2A10.A.A49.A2.2A$2.5A14.2A46.A
7.2A11.A50.A3.A44.2A199.A7.2A11.A50.A3.A44.2A$7.A13.A46.2A17.3A52.3A
4.2A3.2A34.2A198.2A17.3A52.3A4.2A3.2A34.2A$4.3A12.A.A65.A56.A.A2.A4.A
2.A251.A56.A.A2.A4.A2.A$3.A15.2A61.A47.2A13.2A3.A4.3A246.A47.2A13.2A
3.A4.3A$3.4A71.2A.A.A46.A18.2A249.2A.A.A46.A18.2A$.2A3.A3.2A65.A.A.A.
A47.3A21.3A7.2A3.A228.A.A.A.A47.3A21.3A7.2A3.A$A2.3A4.2A62.A2.A.A.A.A
.2A46.A20.A2.A7.A3.A.A224.A2.A.A.A.A.2A46.A20.A2.A7.A3.A.A$2A.A70.4A.
2A2.A2.A67.2A10.A3.A.A223.4A.2A2.A2.A67.2A10.A3.A.A$3.A74.A4.2A82.A4.
A227.A4.2A82.A4.A$3.2A71.A.A85.3A5.2A23.2A199.A.A85.3A5.2A23.2A$76.2A
86.A27.2A2.A2.A198.2A86.A27.2A2.A2.A$102.2A88.A.A2.2A225.2A88.A.A2.2A
$11.2A53.2A35.A73.2A16.2A191.2A35.A73.2A16.2A$12.A53.A.A32.A76.A17.A
191.A.A32.A76.A17.A$9.3A56.A4.2A26.5A14.2A53.3A15.A2.A.2A190.A4.2A26.
5A14.2A53.3A15.A2.A.2A$9.A54.4A.2A2.A2.A29.A13.A54.A16.A.A.2A.A34.2A
150.4A.2A2.A2.A29.A13.A54.A16.A.A.2A.A34.2A$64.A2.A.A.A.A.2A26.3A12.A
.A72.A.A38.A151.A2.A.A.A.A.2A26.3A12.A.A72.A.A38.A$67.A.A.A.A28.A15.
2A74.A2.2A37.A152.A.A.A.A28.A15.2A74.A2.2A37.A$68.2A.A.A28.4A89.2A.3A
15.2A14.5A153.2A.A.A28.4A89.2A.3A15.2A14.5A$72.A27.2A3.A3.2A90.A15.A
13.A162.A27.2A3.A3.2A90.A15.A13.A$99.A2.3A4.2A84.2A.3A16.A.A12.3A186.
A2.3A4.2A84.2A.3A16.A.A12.3A$58.2A39.2A.A92.2A.A19.2A15.A144.2A39.2A.
A92.2A.A19.2A15.A$59.A7.2A33.A129.4A145.A7.2A33.A129.4A$59.A.A5.2A33.
2A83.2A38.2A3.A3.2A143.A.A5.2A33.2A83.2A38.2A3.A3.2A$60.2A116.2A7.2A
38.2A4.3A2.A143.2A116.2A7.2A38.2A4.3A2.A$134.A9.A34.A55.A.2A217.A9.A
34.A55.A.2A$110.2A22.3A5.3A34.A.A53.A196.2A22.3A5.3A34.A.A53.A$111.A
25.A3.A38.2A52.2A197.A25.A3.A38.2A52.2A$101.A6.3A25.2A3.2A280.A6.3A
25.2A3.2A$101.3A4.A68.A245.3A4.A68.A$55.2A47.A51.2A17.3A48.2A198.A51.
2A17.3A48.2A$56.A13.2A19.A11.2A11.2A33.2A2.A.A16.A25.2A24.A151.A13.2A
19.A11.2A11.2A33.2A2.A.A16.A25.2A24.A$56.A.A11.A3.A14.3A24.2A33.A3.A
4.A13.2A24.2A25.3A140.A6.A.A12.A3.A14.3A24.2A33.A3.A4.A13.2A24.2A25.
3A$57.2A12.4A13.A63.3A.5A68.A140.3A5.A14.4A13.A63.3A.5A68.A$88.2A64.A
.A209.2A5.A36.2A64.A.A$32.A40.2A79.A.A.3A206.A4.2A21.2A79.A.A.3A$30.
3A41.A80.2A.A2.A205.A.A26.A80.2A.A2.A$14.A14.A40.2A2.A.2A82.2A23.A
182.2A26.A.2A82.2A23.A$14.3A12.2A39.2A3.A2.A105.A.A210.A2.A105.A.A$
17.A58.2A86.2A18.A.A211.2A86.2A18.A.A$16.2A73.2A70.A.A5.2A12.A227.2A
70.A.A5.2A12.A$91.2A70.A7.2A9.3A179.2A47.2A70.A7.2A9.3A$162.2A18.A
133.2A47.A22.2A94.2A18.A$17.2A137.2A.2A156.A47.A.A20.A.A87.2A.2A$17.
2A17.2A119.A.A16.A138.A50.2A22.A88.A.A16.A$36.2A62.A3.2A24.2A20.2A.A.
A.A.A10.2A.A.A137.5A14.2A54.2A30.A3.2A24.2A20.2A.A.A.A.A10.2A.A.A$99.
A.A3.A25.A20.2A.2A3.2A9.A.A.A.A142.A13.A86.A.A3.A25.A20.2A.2A3.2A9.A.
A.A.A$98.A.A3.A12.2A9.3A3.A.2A30.A2.A.A.A.A.2A136.3A12.A.A44.2A39.A.A
3.A12.2A9.3A3.A.2A30.A2.A.A.A.A.2A$94.2A.A.A3.A13.A.A8.A2.4A.2A14.2A.
2A11.4A.2A2.A2.A135.A15.2A45.A.A34.2A.A.A3.A13.A.A8.A2.4A.2A14.2A.2A
11.4A.2A2.A2.A$94.2A.A2.4A.A13.A11.A21.A.A16.A4.2A137.4A61.A34.2A.A2.
4A.A13.A11.A21.A.A16.A4.2A$98.A.A3.A.A12.2A11.3A.2A15.A.A14.A.A141.2A
3.A3.2A56.2A37.A.A3.A.A12.2A11.3A.2A15.A.A14.A.A$33.2A59.2A.2A2.A2.A.
A27.A.A2.A14.A15.2A141.A2.3A4.2A91.2A.2A2.A2.A.A27.A.A2.A14.A15.2A$
10.2A21.A19.2A40.A.A2.2A3.A32.2A173.2A.A100.A.A2.2A3.A32.2A$9.A2.A2.
2A17.3A15.A.A28.2A10.A.A218.A88.2A10.A.A$10.2A2.A.A19.A15.A15.2A.A11.
2A11.A219.2A87.2A11.A$12.2A16.2A19.2A16.A.3A$12.A17.A36.A.A4.A302.2A$
9.2A.A2.A15.3A33.2A2.2A.A249.2A51.A.A$9.A.2A.A.A16.A38.A.A.2A247.A53.
A$13.A.A56.A.A.2A244.3A54.2A$10.2A2.A58.A248.A$8.3A.2A$7.A$8.3A.2A$
10.A.2A160.A175.A145.A$172.3A175.3A33.A107.3A$20.2A149.A181.A30.3A
106.A$20.2A7.2A140.2A179.2A29.A109.2A$29.A337.2A14.2A$27.A.A337.2A$
20.3A4.2A$20.A$21.A2$7.2A152.2A199.2A119.2A$7.2A151.A.A5.2A185.2A5.A.
A117.A.A5.2A$160.A7.2A185.2A7.A117.A7.2A$159.2A203.2A115.2A2$173.A
177.A34.2A107.A$23.A145.2A.A.A175.A.A.2A25.2A2.A2.A102.2A.A.A$22.A.A
143.A.A.A.A175.A.A.A.A9.2A13.A.A2.2A102.A.A.A.A$22.A.A140.A2.A.A.A.A.
2A169.2A.A.A.A.A2.A5.A.A16.2A101.A2.A.A.A.A.2A$23.A141.4A.2A2.A2.A
169.A2.A2.2A.4A5.A19.A101.4A.2A2.A2.A$24.3A142.A4.2A173.2A4.A8.2A16.A
2.A.2A102.A4.2A$26.A140.A.A185.A.A23.A.A.2A.A100.A.A$167.2A187.2A24.A
.A104.2A$383.A2.2A$384.2A.3A$390.A$384.2A.3A$384.2A.A2$376.2A$367.2A
7.2A$368.A$368.A.A$369.2A4.3C$377.C$376.C2$389.2A$389.2A5$374.A$373.A
.A$373.A.A$374.A$371.3A$371.A!
#C [[ STEP 9 ]]

To get something a little faster in a slightly smaller bounding box, it looks like I should probably replace the F116 component on the left with an Fx77, and re-do the last connection or two. Possibly going through and classifying the other two-thirds of the H-to-2Gs would help turn up some more good options like the one on the left side, also.
dvgrn
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Re: Implications of a Three-Glider Switch Engine

Postby dvgrn » March 26th, 2017, 9:16 pm

On the same general subject -- are there any stable swimmer-to-X converters out there, that recover as quickly as the four-signal swimmer inserter can send them? The only ones I can remember are the old ones based on Paul Callahan's Herschel receiver, and even with modern technology bolted on those seem to take above 400 ticks.

Here's a swimmer-to-G converter with 475-tick recovery -- pretty far from 322, but seems to be about as good as I can manage:

x = 102, y = 149, rule = LifeHistory
33.2A$32.A.A$26.2A4.A$24.A2.A2.2A.4A$24.2A.A.A.A.A2.A$27.A.A.A.A$27.A
.A.2A$28.A$23.A$21.3A17.2A$20.A11.2A7.A$19.A.A10.2A5.A.A$19.A.A17.2A$
20.A5$4.2A$4.2A23.2A$30.A$27.3A$27.A27.2A$24.2A.A27.A$24.A.A.2A23.A.A
$26.A2.A23.2A$17.2A7.2A$17.2A2$7.A.2A53.2A$5.3A.2A18.2A33.A$4.A23.A.A
31.A.A$5.3A.2A17.A33.2A$7.2A2.A15.2A$10.A.A31.2A$6.A.2A.A.A16.A13.2A$
6.2A.A2.A15.3A$9.A17.A$9.2A16.2A$7.2A2.A.A$6.A2.A2.2A$7.2A3$6.2A$7.A$
7.A.A41.2A$3.A4.2A41.2A$3.3A$6.A$5.2A7$15.2A80.A$8.2A5.A.A4.2A72.A.A$
8.2A7.A4.2A72.A.A$17.2A76.2A.3A$101.A$4.A90.2A.3A$3.A.A.2A86.2A.A$3.A
.A.A.A$2A.A.A.A.A2.A$A2.A2.2A.4A$2.2A4.A$8.A.A$9.2A60.2A$71.A.A$72.A
6$63.2A$63.A.A$64.A3$93.A$92.A.A$93.AC$55.2A$55.A.A$56.A2$64.3A$64.3A
18.A$65.A18.A.A$63.2A20.2A$47.2A14.A$47.A.A14.A$48.A3$65.2A10.A$65.2A
9.A.A$65.A11.2A$39.2A24.A$39.A.A22.A.A$40.A26.A$62.2A2.A$61.A3.A$62.
2A5.A$63.A4.A.A$69.2A$31.2A$31.A.A$32.A3$61.A$60.A.A$61.2A$23.2A$23.A
.A$24.A3$53.A$52.A.A$53.2A$15.2A$15.A.A$16.A$24.3A$24.3A$45.A$23.2A.A
17.A.A$22.A3.A18.2A$7.2A13.3A$7.A.A$8.A3$25.A11.A$24.A.A9.A.A$25.A11.
2A$25.2A$25.2A$25.A$24.2A.A$21.A.2A.A$21.A4.4A$21.A.A4.A.A$29.2A!

That's just barely better than this tricky one of Calcyman's from 2009, which recovered in 487 ticks:

x = 157, y = 215, rule = B3/S23
49b2o$49b2o3$47b2o$47b2o$34b2o$35bo102b2o$35bobo100b2o5b2o$36b2o107b2o
$109b2o$110bo$109bo14b2o17b2o$25b2o82b2o14bo17b2o$26bo98bobo21b2o$26bo
bo97b2o21b2o$27b2o2$45b2o37b2o$45b2o37b2o26b2o$112b2o$56b2o$55bo2bo$
55bobo$56bo3$122b2o$123bo28b2o$107b2o11b3o29bo$4bo33b2o67b2o11bo29bobo
$3bobo32b2o110b2o$3bobo$b3ob2o86b2o$o93bo$b3ob2o55bo28b3o$3bob2o55b3o
26bo$65bo37b2o$64b2o37bo$104b3o$106bo2$29b2o$28bobo118b2o$29bo103b2o
14b2o$74b2o58bo$67b2o5bobo54b3o$67b2o7bo54bo$76b2o2$37b2o$36bobo60bo$
37bo61b3o35bo$102bo34b3o$68b2o31b2o37bo$8bo59b2o27b2o19b2o19b2o$7bobo
69b2o16b2o19bo16b2o$7b2o53b2o8bo6bo36bobo16bo$45b2o14bobo7bobo3bobo36b
2o19bo$44bobo14bo9b2o4b2o17bo39b2o$45bo14b2o33bobo$96bo$93b3o$16bo46b
2o28bo$15bobo44bobo$15b2o45bo70b2o$53b2o6b2o70b2o17b2o$52bobo97b2o$53b
o41b2o$90b2o3b2o$70b2o18bo62b2o$24bo45b2o16bobo62bo$23bobo35b2o25b2o
50b2o12b3o$23b2o36b2o60b2o16bo14bo$123bo14b3o$124b3o11bo$79bo46bo$78bo
bo$79bo$32bo$31bobo35b2o36b2o$31b2o36b2o36b2o3b2o$112b2o2$78b2o$78b2o
33b2o$107b2o4bo$40bo66b2o5b3o$39bobo74bo$39b2o$96b2o$96bobo$98bo$84b2o
12b2o$84b2o3$32b2o$33bo$33bobo$34b2o5$16b2o$17bo$17bobo$18b2o$82bo$83b
ob2obobo$77b3o3b4o3bo$83bo2b2ob2o$82bo$80b3o$80b3o17b2o$100b2o7$108b2o
$108b2o$96b4o$15b2o83bo$15b2o65bob2ob2o7bo4bo$81b5o2b2o7b2obo$81bo2b3o
bo10bo$87bo3$71bo3b2o2b2obo$23b2o46bo3b2o4bob2o$23b2o46bo3b2o2b2ob2o$
75b2o$73bo2bo$73bobo$52bo21bo$53bob2obobo$47b3o3b4o3bo$53bo2b2ob2o$52b
o$50b3o$50b3o$71b3o$70bo2bo$70bo$70bo2bo47bo6b2o$70bo2bo46bobo3bo3bo$
72b3o44bo3bobo3b2o$71bobo46bobo2bobob2o$71bo49bo3bo2b2o$73bo51bo4bo$
67b3o4b2o50bo2bo10b2o$66bob2o6bo51bo11b2o$52bob2ob2o7bob2o5b2o$51b5o2b
2o7b3obo3bo$51bo2b3obo8b2o5bo$57bo12bo2b2o$70b2obo3b2o$72bo$148b2o$
135bo12b2o$58b2o64b3o7bo2bo$58b2o63bobob2o5bo3bo$123bobob2o5bo3bo$69bo
53bo3bo5b2o3bo$69bo54bobo7bo2bo$70bo54bo2$69b2o43bo7bo$67bo2bobo40b3o
5bobo$67bo4bo39b2ob4o2bo2bo$67bo45b3o2bo$68b3o43bo2b2o2bo$118b2obobo$
122bo$91bo6b2o$90bobo3bo3bo$89bo3bobo3b2o$90bobo2bobob2o$91bo3bo2b2o$
95bo4bo$96bo2bo10b2o$98bo11b2o3$112b2o$111b2o$117b2o$118b2o$114b5o$
105bo7b2obo$94b3o7bo2bo7bo$93bobob2o5bo3bo$93bobob2o5bo3bo$93bo3bo5b2o
3bo4b3o$94bobo7bo2bo4b2o2bo$95bo15bo3b2o$110bo2b3o$109bo2b2o$109bo2bo$
110bo2bo$98b2o13bo$98b2o11bobo2$109bo$107bob2o$106bo2b2o$107b2obo$107b
2ob2o$108bobo$109bo!

Could just replace that incomplete reflector with a Snark now, of course, and get a nice Herschel output -- no need for that secondary block-replacement stage any more.

I briefly experimented with new ways of getting a glider back to knock out the extra block at the end of the swimmer lane directly, with Snarks or other reflectors, but didn't have any luck.

Before 2009 we had this previous effort of Calcyman's, from October 2008. It shows that a Cordership can very easily produce two swimmers instead of one:

x = 357, y = 352, rule = B3/S23
132b2o$132b2o3$130b2o40b2o$130b2o40b2o5b2o$117b2o60b2o$118bo$118bobo$
119b2o56b2o$177b2o$183b2o$183b2o$108b2o$109bo$109bobo$110b2o2$128b2o$
128b2o2$139b2o$138bo2bo$138bobo23b2o$139bo20bo3b2o$159bobo$158bobo$
158bo31b2o$157b2o31bo$188bobo$121b2o65b2ob2o$121b2o68bobo$191bobo$168b
2o20b2ob3o$169bo26bo$169bobo18b2ob3o$170b2o18b2obo3$78bo74bo$77bobo71b
3o16b2o$77bobo70bo18bobo$75b3ob2o69b2o17bo$74bo92b3o$75b3ob2o85bo$77bo
b2o85b2o6$103b2o$102bobo71b2o$103bo72b2o2$138b2o45b2o$138b2o45bo$186b
3o$188bo$111b2o66b2o$110bobo46b2o19bo$111bo47bobo17bo$161bo17b2o$161b
2o$82bo$81bobo$43bo37b2o$42bobo74b2o$42bobo73bobo$40b3ob2o73bo$39bo$
40b3ob2o$42bob2o44bo$65b2o22bobo$64bobo22b2o$65bo61b2o$126bobo$127bo3$
98bo$73b2o22bobo$72bobo22b2o$73bo61b2o$134bobo$135bo3$106bo$81b2o22bob
o$80bobo22b2o$81bo61b2o$142bobo$143bo$52bo$51bobo$51b2o61bo$89b2o22bob
o$88bobo22b2o$89bo61b2o$13bo136bobo$13b3o135bo$16bo43bo$15b2o42bobo$
59b2o61bo$97b2o22bobo$96bobo22b2o$97bo61b2o$158bobo$6bo152bo$6b3o59bo$
9bo57bobo$8b2o57b2o61bo$30b2o73b2o22bobo$30b2o72bobo22b2o$105bo61b2o$
166bobo$167bo$76bo$75bobo$18b2o55b2o61bo$18b2o93b2o22bobo$4b2o106bobo
22b2o$4b2o107bo61b2o$2o172bobo$2o173bo$84bo$83bobo$83b2o61bo$121b2o22b
obo$22b2o31b2o63bobo22b2o$21bo2bo30b2o64bo61b2o$21bobo158bobo$22bo160b
o$92bo$91bobo118b2o$91b2o61bo57bobo$129b2o22bobo58bo$128bobo22b2o59b2o
$129bo61b2o$190bobo$191bo$41b2o57bo$40bobo56bobo$40bo58b2o61bo$39b2o
96b2o22bobo$136bobo22b2o$137bo61b2o$198bobo$28bo170bo$26b3o79bo$25bo
34b2o45bobo$24bobo33bo46b2o61bo$25bo35b3o81b2o22bobo35b2o$63bo80bobo
22b2o36b2o$145bo$23b2o$23b2o$44b2o70bo$43bobo69bobo$33bo9bo71b2o61bo$
33b3o5b3o109b2o22bobo35b2o$36bo3bo111bobo22b2o36b2o$35b2o3b2o111bo$4b
2o$4b2o$124bo$123bobo$52b2o69b2o61bo$9b2o41b2o107b2o22bobo$9b2o149bobo
22b2o$5b2o52bob2o98bo$5b2o52b2obo151bo$213b3o$132bo79b2o2bo$11b2o118bo
bo77b2o2b2o$11b2o118b2o79b2o$55b2o112b2o42b5o$55bobo110bobo7b2o37b2o$
57bo111bo9bo35bo2bo$29b2o26b2o120bobo34b2o12b2o$30bo149b2o48b2o$27b3o
3bob2o103bo$27bo2b4ob2o102bobo$30bo108b2o$31b3ob2o140b2o35b3o$33bobo
140bobo35bobo$33bobo141bo36bo$34bo179bo2bo20b2o$215bobo20b2o$148bo67b
3o$147bobo68b2o$147b2o63b3o4b2o$218b2o2$206b3o$205bo2bo$204bo4bo$156bo
47bo2b3o$155bobo46bo5bo$155b2o48b7o$211bo$184bo26bo$183b3o23b2o$182b2o
2bo$181b2o2b2o$182b2o$161b2o20b5o$161b2o24b2o$185bo2bo$186b2o12b2o$
200b2o$143b2o$143bo$144b3o56b2o$146bo22b2o13b3o15bo$169b2o13bobo15b3ob
3o$184bo17b3o2bo$184bo2bo18bo$185bobo$186b3o$188b2o$182b3o4b2o$188b2o
14b2o$203bo$200b2o2b2o$200b2o3$198bo$188b2o3b7o$188b2o3bo4b2o$194bob2o
$198bo$195bo2bo70b3o$195bo2bo70bobo$195b3o71bobo14b2o$196b2o71bo4b2o9b
o2bo$196b2o70b3o3b2o10b3o$196b2o76bo12b2o$270b4o13bo$271b2o12bob2o$
271bo13b4o$285bobobo$272bo13b2ob2o3b2o$270bobo12bo3bo4b2o$269b4o13b3o$
269b3o15bo$271bo2$285b2o$284bo2bo$283bo$282bo2bo$282bo23bo$282b3o21bo$
263bo10bobo$262bobo8bo2bo$261b2ob2o7bo2b4o$261b2o10bob5o4b3o$267b2o5b
3obo7bo$261b3o2bo18bo$265bob2o$263bo2bo$239b3o24bo$239bobo22b2o$239bob
o14b2o$239bo4b2o9bo2bo5bo$238b3o3b2o10b3o3b2ob2o$244bo12b2o2bo3bo$240b
4o13bo3bo$241b2o12bob2o3bobo$241bo13b4o$255bobobo$242bo13b2ob2o$240bob
o12bo3bo$239b4o13b3o$239b3o15bo$241bo4$254b3o$255bobo$254bo2bo$254bo2b
o$244b2o8bobo$244b2o8bo2bo$255b2o$256bo3$323b2o2bo$326bobo$252b2o71bo
16bo$252b2o88bo$327b2o13bo2$328b2o12b2o$327bo13bo2bo$325b2ob2o11bobo6b
2o$328b2o10b2o8b2o$326bo13bo$343b2o$343b2o$343b2o$340b2obo$341b3o$342b
o$336bo15b2o$335bobo13b6o$338bo12b3o2bo$330b2o2b2obo16b3o$330b2o5bobo
6b3o$337bobo8bo$320bo15bo3bo7bo$317b4o14b2o7bob2o$335b2ob2o3b2o$337bo
2$320bobo$321bo$293b2o2bo21b2o12bobo$296bobo20bo2bo11bo$295bo16bo5b2ob
2o$312bo$297b2o13bo2$298b2o12b2o$297bo13bo2bo$295b2ob2o11bobo$298b2o
10b2o$296bo13bo$313b2o$313b2o$313b2o$310b2obo$311b3o$312bo4$300b2o$
300b2o7$308b2o$308b2o!
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Re: Implications of a Three-Glider Switch Engine

Postby A for awesome » March 26th, 2017, 10:21 pm

dvgrn wrote:On the same general subject -- are there any stable swimmer-to-X converters out there, that recover as quickly as the four-signal swimmer inserter can send them?

There's likely something involving a transparent reaction. I just found a transparent-block-based swimmer eater:
x = 19, y = 21, rule = LifeHistory
.A$.3A7.2A$4.A6.A$3.2A3.BA.A$3.4B.B2A$5.4B$5.3B$4.B2A2B8.2A$3.2B2A3B
7.A$3.9B2.BA.A$2.11B.B2A$3.12B$.5BC8B$.4BCBC5B$12B$4BC2BC3B$4B2C3B$.
3BC3B$.7B$3.5B$4.3B!

It's probably useless, but it gives me hope that there are more useful things out there along the same lines, hopefully producing usable output signals.
If the if becomes the the and the the becomes the becomes, and will become will and become will become if. Now, the I say something will I use becomes wrong words, it ifs something like this.

http://conwaylife.com/wiki/A_for_all

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Re: Implications of a Three-Glider Switch Engine

Postby dvgrn » April 19th, 2017, 9:14 pm

A little research with AbhpzTa's switch engine recipe this evening produced the following Cordership half-recipe:

x = 210, y = 98, rule = B3/S23
63bo$63b2o$62bobo3$168b3o$168bo$169bo4$64b2o$65b2o$64bo$175bo$174b2o$
174bobo12$32bo$32b2o$31bobo3$169b3o$169bo$170bo4$33b2o$34b2o$33bo$176b
o$175b2o$175bobo$3o$2bo$bo2$161b2o$160b2o$162bo4$2b2o$bobo$3bo2$166b3o
$166bo$167bo34$208b2o$207b2o$209bo!

It just produces a messy Corderpuffer on its own, but two matching ones with the right offset, plus a couple of suppressing gliders, make a 6-in-a-row Cordership, with a repeat time of 503 ticks:

x = 521, y = 525, rule = B3/S23
469bo$467b2o$468b2o8bobo$478b2o$479bo27$452bo$451bo$451b3o8bo$462bobo$
462b2o27$424bo$423bo$423b3o8bo$434bobo$434b2o60$342bo$342bobo8bo$342b
2o8bo$352b3o28$327bo$325b2o$326b2o8bobo$336b2o$337bo27$299bo$297b2o$
298b2o8bobo$308b2o$309bo94$347bo$346b2o$346bobo4$356b2o$356bobo$302b2o
52bo$302bobo25b2o$302bo27bobo$330bo3$312b2o$189bo121b2o27b2o$189b2o
122bo25b2o$188bobo150bo3$294b3o$294bo$295bo4$190b2o$191b2o$190bo$301bo
$300b2o$300bobo12$158bo$158b2o$157bobo2$393bo$295b3o94b2o$295bo96bobo$
296bo4$159b2o$160b2o$159bo$302bo$301b2o$301bobo$126b3o$128bo$127bo$
345b3o$287b2o56bo$286b2o58bo$288bo4$128b2o$127bobo$129bo2$292b3o$292bo
$293bo3$361b3o$361bo$362bo29$334b2o$333b2o$335bo14$472b2o$472bobo$472b
o4$482b2o$481b2o$428b2o53bo$427b2o27b2o$429bo25b2o$457bo3$437b3o$63b2o
372bo27b3o$62bobo373bo26bo$64bo401bo2$421bo$420b2o$420bobo5$64b3o$66bo
$65bo$426b2o$426bobo$426bo12$32b2o$31bobo$33bo2$422bo95b2o$421b2o95bob
o$421bobo94bo5$33b3o$35bo$34bo$427b2o$427bobo$bo425bo$b2o$obo$472bo$
471b2o$412b3o56bobo$412bo$413bo4$2b2o$3b2o$2bo$419bo$418b2o$418bobo3$
488bo$487b2o$487bobo30$459b3o$459bo$460bo!

It's a little awkward that the two suppressing gliders can't be divided up into the two otherwise identical recipes. So maybe it's better to add a couple of eaters and use the same number of gliders to suppress the output gliders individually on the two sides:

x = 521, y = 525, rule = B3/S23
469bo$467b2o$468b2o8bobo$478b2o$479bo27$452bo$451bo$451b3o8bo$462bobo$
462b2o27$424bo$423bo$423b3o8bo$434bobo$434b2o60$342bo$342bobo8bo$342b
2o8bo$352b3o28$327bo$325b2o$326b2o8bobo$336b2o$337bo27$299bo$297b2o$
298b2o8bobo$308b2o$309bo25$292bo$290b3o$289bo$289b2o66$347bo$346b2o$
346bobo4$356b2o$219b2o135bobo$218bobo81b2o52bo$218bo83bobo25b2o$217b2o
83bo27bobo$330bo3$312b2o$189bo121b2o27b2o$189b2o122bo25b2o$188bobo150b
o3$294b3o$294bo$295bo4$190b2o$191b2o$190bo$301bo$300b2o$300bobo12$158b
o$158b2o$157bobo2$393bo$295b3o94b2o$295bo96bobo$296bo4$159b2o$160b2o$
159bo$302bo$301b2o$301bobo$126b3o$128bo$127bo2$287b2o$286b2o$288bo4$
128b2o$127bobo$129bo2$292b3o$292bo93bo$293bo91b2o$385bobo26$362b2o$
361b2o$363bo5$334b2o$333b2o$335bo14$472b2o$472bobo$472bo4$482b2o$481b
2o$428b2o53bo$427b2o27b2o$429bo25b2o$457bo3$437b3o$63b2o372bo27b3o$62b
obo373bo26bo$64bo401bo2$421bo$420b2o$420bobo5$64b3o$66bo$65bo$426b2o$
426bobo$426bo12$32b2o$31bobo$33bo2$422bo95b2o$421b2o95bobo$421bobo94bo
5$33b3o$35bo$34bo$427b2o$427bobo$bo425bo$b2o$obo3$412b3o$412bo$413bo4$
2b2o$3b2o$2bo$419bo$418b2o$418bobo90b2o$511bobo$511bo26$487b3o$487bo$
488bo5$459b3o$459bo$460bo!

Same repeat time. It shouldn't take too long to make a glider-to-3-in-a-row-puffer, and hook two of those together, mirror image with the necessary small offset, to make a G-to-6-in-a-row.

Anyone see a better way to do this? In particular, can the repeat time be reduced below 500 ticks without adding too many more gliders? Picking some suitably small value for "too many", I guess... even three extra gliders on each side seems like a lot somehow. Obviously there are recipes that use fewer gliders -- just remove the kickback near the edge, for example -- but that will damage the repeat time pretty badly.

The nice thing about the 6-in-a-row Cordership is that, just like the 7-in-a-row version, it has a really trivial Heisenburp -- just one tub suppresses one of the edge blocks and successfully allows a glider to escape. This makes a 6-in-a-row eater a lot easier than it would otherwise be, as well. I've added this last link to the stable signal converters thread.
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Re: Implications of a Three-Glider Switch Engine

Postby dvgrn » April 20th, 2017, 11:05 pm

dvgrn wrote:Obviously there are recipes that use fewer gliders -- just remove the kickback near the edge, for example -- but that will damage the repeat time pretty badly.

Specifically, the cheapest 6-in-a-row Cordership recipe I can think of is this one:

#C 22-glider recipe for 6-in-a-row Cordership
x = 170, y = 174, rule = B3/S23
58bobo$59b2o$59bo68bo$127bo$127b3o27$66bo$64bobo$65b2o$111bobo$111b2o$
112bo26$o69bo$b2o65bobo$2o67b2o$83bobo$83b2o$84bo46b2o$32bo98bobo$33bo
97bo$31b3o2$63bo$64bo$62b3o$87b2o$86b2o27b2o$88bo25b2o$116bo9$65b2o$
66b2o$65bo$76bo$75b2o$75bobo16$168bo$167b2o$167bobo5$34b2o$35b2o$34bo$
77bo$76b2o$76bobo4$120b3o$120bo$121bo5$3b2o$2bobo$4bo2$67b3o$67bo$68bo
3$136b3o$136bo$137bo29$109b2o$108b2o$110bo!

Before I put this up as the 6-in-a-row synthesis on the wiki, can anyone come up with a better build order, where some of the four suppression gliders in the far southeast are no longer necessary?

The center pair of switch engines is the one that's producing the gliders that need to be suppressed. But it looks to me like the center pair of switch engines can’t be built 96 ticks later, or 192 ticks later, because the construction gliders for one of the other pairs would get in the way.

You _can_ build them 288 ticks later, but it doesn't look too likely that the resulting trailing mess can be shot down in three gliders or less:

x = 140, y = 144, rule = B3/S23
6bobo$7b2o$7bo126bo$133bo$133b3o6$o$b2o$2o21$93bo$94bo$92b3o$131bo$
129b2o$130b2o27$98bobo$99b2o$99bo14bo$113bo$113b3o18bo$133b2o$133bobo
7$117b2o$117bobo$117bo16$35bo$33bobo$34b2o4$65bo$66b2o$65b2o13$68b2o$
67bobo$69bo2$78b3o$78bo$79bo2$137b2o$137bobo$137bo6$37bo$37b2o$36bobo
2$3b2o65b2o$2bobo64b2o$4bo66bo2$125b3o$125bo$126bo!
#C [[ AUTOSTART AUTOFIT HISTORYFIT STEP 4 STOP 1200 ]]

Maybe there’s a trick for building the two central switch engines (or just one of them?) 48+96N ticks later, but it looks to me like extra kickbacks would have to be added there, too, so you’d probably lose any gliders you saved on suppression.
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Re: Implications of a Three-Glider Switch Engine

Postby dvgrn » April 21st, 2017, 10:16 am

dvgrn wrote:Specifically, the cheapest 6-in-a-row Cordership recipe I can think of is this one...

Probably all of the Corderships are glider-constructible now, one way or another. I'm not too interested in coming up with recipes for the original huge multi-layer ones. But constructions for all the known ships with up to five engines seems within fairly easy reach. I'd like to figure out the costs, and add the relevant _synth files to the LifeWiki.

I'm having some trouble with simsim314's 4-engine Cordership, even though it ought to be a fairly easy one. You only have to synchronize the construction of two switch engines at a time, and the gliders don't even get in each other's way:

x = 73, y = 51, rule = LifeHistory
22.A$20.A.A$21.2A$67.A.A$67.2A$68.A6$A.A$.2A$.A38.A$39.A$39.3A30$71.
2A$70.2A$72.A$43.2A$43.A.A$43.A!

But it seems to be a nontrivial task to find the smallest number of suppression gliders that produce a clean puffer, in a way that also allows the same recipe to build the second half of simsim314's adjustable Cordership.

There are a lot of combinations of spatial offsets, glide reflections, and 48-tick timing adjustments to try. The following variant at least settles down and survives as a puffer eventually, so its debris could theoretically be cleaned up with a lot of gliders:

x = 101, y = 96, rule = LifeHistory
2.A$A.A$.2A$95.A.A$95.2A$96.A38$12.A.A$13.2A$13.A38.A$51.A$51.3A33$
55.2A$55.A.A$55.A11$99.2A$98.2A$100.A!

It looks like it's going to be important to sneak in early with just a few gliders, to fold the trailing debris into the right shape. Here are my notes so far on what the final result should look like, versus what the first recipe above looks like at various stages:

x = 267, y = 137, rule = LifeHistory
237.2B$237.3B$236.5B$236.6B$234.9B$233.11B$232.A3B2A2B2ABAB$213.2B16.
BA3B2A4BAB2A$213.3B16.A3B2A2B2AB2AB$212.5B17.2B2A7B$210.B.6B16.A2BA7B
$209.10B15.ABA7B$206.13B2A14.A8B$205.A9BA3B3A11.11B$204.B4A5BABA2BA2B
9.13B$205.A3BA5BA3BA2BAB7.12B$206.17BA8.12B$207.3A10BABAB9.11B$210.
10B.2A7.2A2.10B$56.2B153.9B9.B2AB2.9B$56.3B153.8B9.5B.8B$55.5B85.B6.
2B58.8B9.5B.3A4B$55.6B83.3A5.3B57.7B8.16B$53.9B81.4B4.5B57.7B7.16B$
52.11B79.6B2A.6B56.7B8.12BAB$51.A3B2A2B2ABAB57.B20.8BA7B3.3A49.7B8.
11BABA$32.2B16.BA3B2A4BAB2A55.3A17.4B4ABA11BA2B48.8B8.11BABAB$32.3B
16.A3B2A2B2AB2AB54.2BA2B14.6B5A16B47.7B.2B2.2B2.14B$31.5B17.2B2A7B55.
2BA2BA3.2B8.28B46.19BA10BA2B$29.B.6B16.A2BA7B55.2BA2BA3.3B8.22BA2BAB
45.20BA14B$28.10B15.ABA7B55.4BABA2.5B8.4BABA14BAB2AB44.2A28B2A3B$25.
13B2A14.A8B54.9B.6B4.2A2.3BABA14BA2BA45.2A28BA3B$24.A9BA3B3A11.11B55.
16B2.B2AB2.3BA15BABAB46.28BA3B$23.B4A5BABA2BA2B9.13B53.25B2.BABA14B3A
B47.9B.18B3A4.B$24.A3BA5BA3BA2BAB7.12B52.27B3.B2A18B49.6B6.14B$25.17B
A8.12B51.7BA20B3.A18B54.B6.10B.2B$26.3A10BABAB9.11B52.5BABA19B4.12B.
6B59.11B$29.10B.2A7.2A2.10B53.5BA20B5.17B59.12B$30.9B9.B2AB2.9B54.21B
A3B6.16B54.2A2.13B$31.8B9.5B.8B56.20BA4B2.2A2.15B54.2A2.12B$31.8B9.5B
.3A4B58.4A19B2.B2AB2.10BA3B59.10B$31.7B8.16B57.2A3BA2.11BA2B3.5B.8B2A
B2AB59.9B$32.7B7.16B58.A4BA.10BABA4.5B.3A4B.3AB2A58.9B$32.7B8.12BAB
61.AB2A.7B.2BA3B.16B.5A$32.7B8.11BABA61.BAB3.11B2A.16B2.3A$31.8B8.11B
ABAB66.12BA2.14B4.A$31.7B.2B2.2B2.14B67.9B3A3.14B$31.19BA10BA2B63.11B
2A3.15B$30.20BA14B62.8BA5B2.15B$29.2A28B2A3B63.8B2A23B$29.2A28BA3B63.
9B2A24B$30.28BA3B63.2A6B2A25B$31.9B.18B3A4.B58.2A4B2A26B$33.6B6.14B
67.5B2ABA23B$37.B6.10B.2B70.6B2A23B4.B$43.11B75.6B6.17B$42.12B79.B6.
10B.2B2.2B$37.2A2.13B85.11B$37.2A2.12B85.12B$42.10B81.2A2.13B$42.9B
82.2A2.12B$41.9B88.10B$138.9B$137.9B8$214.2B$213.4B$214.4B$121.2B92.
4B41.3B$120.4B92.4B39.4B$121.4B92.4B37.4B$122.4B41.3B48.4B35.4B$123.
4B39.4B20.2B27.4B33.4B$124.4B37.4B20.4B27.4B31.4B$125.4B35.4B22.4B27.
4B12.2B15.4B$97.2B27.4B33.4B24.4B27.4B10.4B13.4B$25.2B69.4B27.4B31.4B
26.4B27.4B8.6B11.4B$24.4B69.4B27.4B29.4B28.4B27.4B6.8B9.4B$25.4B69.4B
27.4B10.3B14.4B30.4B27.4B4.10B7.4B$26.4B41.3B25.4B27.4B8.4B13.4B32.4B
27.4B2.12B5.4B$27.4B39.4B26.4B27.4B6.4B13.4B34.4B27.5BA3B2A2B2ABAB3.
4B$28.4B37.4B28.4B27.4B4.4B13.4B36.4B12.2B13.4BA3B2A4BAB2A.4B$29.4B
35.4B30.4B27.4B2.4B13.4B38.4B11.3B13.3BA3B2A2B2AB2A5B$.2B27.4B33.4B
32.4B27.8B13.4B40.4B9.5B11.8B2A11B$4B27.4B31.4B34.4B27.6B13.4B42.4B6.
B.6B9.7BA2BA10B$.4B27.4B29.4B36.4B27.4B5.B7.4B44.4B4.10B7.4B2.2BABA
10B$2.4B27.4B10.3B14.4B38.4B25.6B3.3A5.4B46.17B2A4.4B4.2BA10B$3.4B27.
4B8.4B13.4B40.4B23.8B.4B4.4B48.2BA9BA3B3A2.4B5.12B$4.4B27.4B6.4B13.4B
42.4B21.4B2.9B2A4B50.B4A5BABA2BA2B.4B4.15B$5.4B27.4B4.4B13.4B44.4B8.B
10.4B4.10BA2B52.A3BA5BA3BA2BA3B5.15B$6.4B27.4B2.4B13.4B46.4B6.3A8.4B
5.4B4ABA2B54.17BAB7.14B$7.4B27.8B13.4B48.4B4.2BA2B6.4B4.6B5A4B54.3A
10BABAB9.14B$8.4B27.6B13.4B50.4B3.2BA2BA4.4B5.15B55.13B2A11.14B$9.4B
27.4B13.4B52.4B2.2BA2BA3.4B7.14B56.13B13.9B.4B$10.4B25.6B11.4B54.8BAB
A2.4B9.4BABA7B55.12B15.7B.6B.2A$11.4B23.8B9.4B56.15B11.3BABA8B52.15B
14.15B3A$12.4B21.4B2.3BA7.4B58.13B13.3BA5B.4B51.15B14.14BAB3A$13.4B
19.4B4.ABA6.4B59.12B15.BABA3B3.4B51.14B13.2A2B5A7BAB3A$14.4B17.4B6.2A
5.4B58.15B15.B2A2B5.4B51.14B8.2A2.A7BA7B4A$15.4B15.4B13.ABAB59.7BA7B
16.AB8.4B51.14B6.B2A.2A4BAB2A8B2AB$16.4B13.4B14.2AB61.5BABA6B27.4B51.
9B.4B2.3BA2B2A2.2B3A3B.B5.4B$17.4B11.4B16.A.3A59.5BA8B27.4B51.7B.10BA
B2A4.3B12.4B$18.4B9.4B19.2A2B59.14B27.4B50.15B3A4B20.4B$19.4B7.4B21.B
A2B59.9B.4B27.4B48.17B2A4B21.4B$20.4B5.4B23.4B59.4A3B3.4B27.4B46.2A9B
2A2BA8B22.4B$21.5B2.4B25.4B58.2A3BA5.4B27.4B45.2A5B2ABA4B2A7B23.4B$
22.2BA8B25.4B58.A4BA5.4B27.4B45.10BABAB2A6B25.4B$23.B4A5B26.4B59.AB2A
6.4B27.4B45.9B.B2A3.4B27.4B$24.A3BA.3B27.4B58.BAB8.4B27.4B46.6B9.4B
27.4B$26.8B27.4B69.4B27.4B49.B11.4B27.4B$26.3A6B27.4B69.4B27.4B61.4B
27.4B$29.B2.4B27.4B69.4B27.4B61.4B27.4B$33.4B27.4B69.4B27.4B61.4B26.
4B$34.4B27.4B69.4B27.4B61.4B27.B$35.4B27.4B69.4B27.4B61.4B$36.4B27.4B
69.4B26.4B62.4B$37.4B27.4B69.4B27.B64.4B$38.4B27.4B69.4B92.4B$39.4B
27.4B69.4B92.3B$40.4B27.4B69.4B92.2B$41.4B27.4B69.4B$42.4B27.4B69.3B$
43.4B27.4B69.2B$44.4B26.4B$45.4B27.B$46.4B$47.4B$48.4B$49.4B$50.3B$
51.2B!
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Re: Implications of a Three-Glider Switch Engine

Postby BlinkerSpawn » April 21st, 2017, 10:47 am

3 suppression gliders as a start:
x = 143, y = 173, rule = LifeHistory
141.C$140.C$140.3C12$2.A$A.A$.2A$95.A.A$95.2A$96.A38$12.A.A$13.2A$13.
A38.A$51.A$51.3A33$55.2A$55.A.A$55.A11$99.2A$98.2A$100.A28$99.2C$98.
2C$100.C31$138.2C$138.C.C$138.C!

After 600 gens:
x = 157, y = 173, rule = LifeHistory
155.D$154.D2B$153.B3D$152.4B$151.4B$150.4B$149.4B$148.4B$147.4B$146.
4B$145.4B$144.4B$143.4B$142.4B$15.2B124.4B$14.4B122.4B$15.4B120.4B$
16.4B89.3B26.4B$17.4B87.4B25.4B$18.4B85.4B25.4B$19.4B83.4B25.4B$20.4B
81.4B25.4B$21.4B79.4B25.4B$22.4B12.2B63.4B25.4B$23.4B11.3B61.4B25.4B$
24.4B.2BA5.5B59.4B25.4B$25.5BABA2.B.6B57.4B25.4B$26.3BA3BA10B55.4B25.
4B$26.4BABA15B50.4B25.4B$24.7BA14B3A48.4B25.4B$6.3A5.2B8.21BA3BA46.4B
25.4B$5.BA2BA4.3B8.6B4A10B3A2BA44.4B25.4B$5.4BA3.5B8.4BA4BA9BA3BA44.
4B25.4B$4.2B2A4B.6B4.2A2.5BA13B3AB43.4B25.4B$4.BABA12B2.B2AB2.BA3BA2B
A9B2A3B4.2A35.4B25.4B$2.4BA2B3A15B2.AB3ABA16B2.B2AB33.4B25.4B$7B2A2BA
15B3.3ABA24B31.4B25.4B$7BA3BA16B4.27B30.4B25.4B$.7BABA10BABA4B4.28B
28.4B25.4B$2.8BA12BA4B5.15BA11B27.4B25.4B$3.4BA2BA16BA6.11B5A10B26.4B
25.4B$4.3BA13B3A5B2.2A2.9BA15B25.4B25.4B$5.17B2A4B2.B2AB2.25B2.2B19.
4B25.4B$5.B2A2BA11B2A11B.9BA3BA10B2.4B17.4B25.4B$6.B3A13B2A10B.3A7B3A
18B15.4B25.4B$8.16BA42B14.4B25.4B$9.59B12.4B25.4B$10.12BA45B11.4B25.
4B$11.10BABA44B10.4B25.4B$12.9BA40B2A4B9.4B25.4B$13.7BA3B2A17B.18B2A
5B2.2B3.4B25.4B$13.8BA2B2A17B.24B2.4B.4B25.4B$12.9BA21B.34B25.4B$11.
2A64B25.4B$11.2A7B2A2B2A51B24.4B$12.8B6A53B21.4B$13.10BA56B19.4B$15.
55B2A8B18.4B$19.B.49B2A7B.2B15.4B$21.63B12.4B$20.65B10.4B$19.2A64B9.
4B$19.2A56B2A7B7.4B$20.54B.BA2BA6B6.4B$21.56B2A8B4.4B$23.65B2.4B$23.
70B$24.68B$26.59B.5B$26.49B2A13B$26.49B2A12B$27.61B$29.53B.4B$29.53B
2.2B$30.52B$32.15BA11B.9B2A12B$34.12BABA9B2A9B2A13B$34.12BA2BA8B2A5BA
14B.4B$34.13B2A15BABA13B2.4B$35.29BABA12B4.4B$37.28BA13B5.4B$37.42B6.
4B$38.41B7.4B$40.39B8.4B$42.37B9.4B$42.36B11.4B$42.35B13.4B$43.34B14.
4B$45.31B16.4B$45.8B2.21B17.4B$46.B4.B3.22B17.4B$56.21B18.4B$57.6B2.
13B18.4B$57.4B5.12B19.4B$67.11B20.4B$68.11B20.4B$69.5B2.4B20.4B$71.4B
2.4B20.4B$72.4B2.4B20.4B$73.4B2.4B20.4B$74.4B2.4B20.4B$75.4B2.4B20.4B
$76.4B2.4B20.4B$77.4B2.4B20.4B$78.4B2.4B20.4B$79.4B2.4B20.4B$80.4B2.
4B20.4B$81.4B2.4B20.4B$82.4B2.4B20.3B$83.4B2.4B20.2B$84.4B2.4B$85.4B
2.4B$86.4B2.4B$87.4B2.4B$88.4B2.4B$89.4B2.4B$90.4B2.4B$91.4B2.4B$92.
4B2.4B$93.4B2.4B$94.4B2.4B$95.4B2.4B$96.4B2.4B$97.4B2.4B$98.4B2.4B$
99.4B2.4B$100.4B2.4B$101.4B2.4B$102.4B2.4B$103.4B2.4B$104.4B2.4B$105.
4B2.4B$106.4B2.4B$107.4B2.4B$108.4B2.4B$109.4B2.4B$110.4B2.4B$111.2B
2D2.4B$112.2DB3.4B$113.BD4.4B$120.4B$121.4B$122.4B$123.4B$124.4B$125.
4B$126.4B$127.4B$128.4B$129.4B$130.4B$131.4B$132.4B$133.4B$134.4B$
135.4B$136.4B$137.4B$138.4B$139.4B$140.4B$141.4B$142.4B$143.4B$144.4B
$145.4B$146.4B$147.4B$148.4B$149.4B$150.2B2D$151.BDBD$152.DB!
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]
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Re: Implications of a Three-Glider Switch Engine

Postby dvgrn » April 21st, 2017, 12:30 pm

BlinkerSpawn wrote:3 suppression gliders as a start...

That gives an initial solution, anyway. Three more gliders (maybe less?) makes the construction clean enough that two of them can work together to make a 4-engine Cordership, with the second half in either orientation:

x = 433, y = 467, rule = LifeHistory
186.A$186.A.A$186.2A52$141.A$140.A$140.3A12$2.A$A.A$.2A$95.A.A$95.2A$
96.A38$12.A.A$13.2A$13.A38.A$51.A$51.3A33$55.2A$55.A.A$55.A11$99.2A$
98.2A$100.A28$99.2A$98.2A$100.A31$138.2A$138.A.A$138.A27$166.2A$158.
2A6.A.A$158.A.A5.A$158.A22$245.A$246.A$244.3A10$287.A$288.2A$287.2A
37$290.2A$289.A.A$291.A2$324.3A$324.A$325.A38$247.2A$248.2A$247.A$
338.A29.A$337.2A28.2A$337.A.A27.A.A38$400.3A$400.A$231.2A168.A$230.A.
A$232.A16$430.3A$430.A$431.A6$429.3A$429.A$430.A18$176.3A$178.A$177.A!

x = 420, y = 496, rule = LifeHistory
186.A$186.A.A$186.2A52$141.A$140.A$140.3A12$2.A$A.A$.2A$95.A.A$95.2A$
96.A38$12.A.A$13.2A$13.A38.A$51.A$51.3A33$55.2A$55.A.A$55.A11$99.2A$
98.2A$100.A28$99.2A$98.2A$100.A31$138.2A$138.A.A$138.A13$417.A$417.A.
A$417.2A12$166.2A$158.2A6.A.A$158.A.A5.A$158.A37$372.A$371.A$371.3A
12$233.A$231.A.A$232.2A$326.A.A$326.2A$327.A38$243.A.A$244.2A$244.A
38.A$282.A$282.3A33$286.2A$286.A.A$286.A11$330.2A$329.2A$331.A28$330.
2A$329.2A$331.A31$369.2A$369.A.A$369.A27$397.2A$389.2A6.A.A$389.A.A5.
A$389.A!

It would be nice to find a more adjustable way to build the two half-recipes, though. At the moment you start running into trouble with glider collisions if you try to construct the pieces much closer together than this (there are a few closer spacings that work, I think, but it's not reliable) --

x = 503, y = 559, rule = B3/S23
286bo$286bobo$286b2o52$241bo$240bo$240b3o12$2bo$obo$b2o$195bobo$195b2o
$196bo38$12bobo$13b2o$13bo138bo$151bo$151b3o19$101bo$102bo$100b3o10$
143bo$144b2o$143b2o100$155b2o$155bobo$155bo11$199b2o$198b2o$200bo22$
146b2o$145bobo$147bo2$280b3o$280bo$199b2o80bo$198b2o$200bo31$238b2o$
238bobo$238bo3$103b2o$104b2o$103bo$294bo29bo$293b2o28b2o$293bobo27bobo
19$266b2o$258b2o6bobo$258bobo5bo$258bo16$356b3o$356bo$87b2o268bo$86bob
o$88bo16$386b3o$386bo$387bo6$385b3o$385bo$386bo18$32b3o$34bo$33bo44$
417b3o$417bo$418bo8$427b3o$427bo$428bo8$437b3o$437bo$438bo8$447b3o$
447bo$448bo8$457b3o$457bo$458bo8$467b3o$467bo$468bo8$477b3o$477bo$478b
o8$487b3o$487bo$488bo8$497b3o$497bo$498bo8$500b3o$500bo$501bo!
#C [[ PAUSE 3 AUTOSTART AUTOFIT STEP 5 STOP 2000 ]]

At the moment that means a lot of cleanup gliders. There are probably ways to avoid such a long puffer output, which at the moment I don't have time or brain cells to think of... mainly just rebuilding the whole half-Cordership construction recipe so that two half-recipes don't have any crossing gliders.
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Re: Implications of a Three-Glider Switch Engine

Postby dvgrn » April 21st, 2017, 1:36 pm

dvgrn wrote:It would be nice to find a more adjustable way to build the two half-recipes, though.
...
There are probably ways to avoid such a long puffer output, which at the moment I don't have time or brain cells to think of...

Oh, right. Down to 33 gliders, with the option of delaying the second half-recipe for any number of ticks, no restrictions:

#C 33-glider recipe for simsim314's adjustable 4-engine Cordership
#C (second half-Cordership is a glide-reflected copy of the first)
x = 625, y = 563, rule = B3/S23
43bo$44bo$42b3o10$85bo$86b2o$85b2o71$447bo$447bobo$447b2o52$402bo$401b
o$401b3o12$163bo$161bobo$162b2o$356bobo$356b2o$357bo38$173bobo$174b2o$
174bo138bo$312bo$312b3o133$316b2o$316bobo$316bo11$360b2o$359b2o$361bo
28$360b2o$359b2o$361bo31$399b2o$399bobo$399bo27$427b2o$419b2o6bobo$
419bobo5bo$419bo4$88b2o$87bobo$89bo2$516b3o$516bo$517bo38$45b2o$46b2o$
45bo$530bo29bo$529b2o28b2o$529bobo27bobo35$b2o$obo$2bo$592b3o$592bo$
29b2o562bo$28bobo$30bo16$622b3o$622bo$623bo6$621b3o$621bo$622bo!
#C [[ AUTOFIT STEP 5 STOP 1369 ]]

There's definitely still hope for further optimizations.

The version with the translated-not-mirrored second half-Cordership will need two extra gliders for kickbacks, so that the gliders from the NW don't have to travel through the first half-Cordership.

EDIT: Along the same lines, here are 18 gliders making a 5-engine Cordership, with the same one-tub Heisenburp potential on the SW side as a 6- or 7-in-a-row has on both sides.

This is just two engines from a three-engine Cordership plus a glider-producing wing, so it works to use the same suppression trick in the NE as in the three-engine case, producing a temporary pond:

#C 18-glider recipe for 5-engine Cordership
x = 162, y = 158, rule = B3/S23
75bo$76bo$74b3o$109bo$107b2o$108b2o19$o66bobo$b2o65b2o$2o66bo32bo$100b
o$100b3o2$32bo$33bo$31b3o78bo$111b2o$63bo47bobo$64bo$62b3o19$104b2o$
104bobo$104bo8$159b2o$159bobo$159bo4$65b2o$66b2o$65bo$98bo$97b2o$97bob
o23$34b2o$35b2o$34bo$99bo$98b2o$98bobo$130b3o$130bo$131bo8$3b2o$2bobo$
4bo2$89b3o$89bo$90bo34$131b2o$130b2o$132bo!

It's possible that a different build order will reduce the number of gliders needed, but with only three gliders used for suppression there's much less room for improvement in this case.

EDIT2: And to finish up the series, here's the minimum-population Cordership, with four engines -- this is just two mirror-image copies of the same two engines from a three-engine Cordership, so only two gliders are needed for cleanup:

#C 14-glider recipe for 4-engine Cordership, minimum population 134
x = 131, y = 131, rule = B3/S23
39bo$40b2o$39b2o$77bo$77bobo$77b2o18$33bo$34bo$32b3o$71bo$69b2o$70b2o
4$25bo$23bobo$24b2o3$80b3o$80bo$obo78bo$b2o$bo18$74bo$73b2o$73bobo8$
27bo101bo$27b2o99b2o$26bobo99bobo2$60b2o$59b2o$61bo2$3b3o$5bo$4bo$37b
2o$37bobo$37bo46$70b2o$69b2o$71bo!

I'll get around to dropping all of these into the patterns collection on the LifeWiki, unless someone can come up with improvements. The 33-glider recipe seems particularly likely to be suboptimal.
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Re: Implications of a Three-Glider Switch Engine

Postby dvgrn » April 22nd, 2017, 8:21 pm

dvgrn wrote:Oh, right. Down to 33 gliders, with the option of delaying the second half-recipe for any number of ticks, no restrictions...
The 33-glider recipe seems particularly likely to be suboptimal.

Down to 25 gliders, with some extra suffering due to remembering how to run gencols to get a block+blinker combination with three gliders.

Someone should start a new thread for best-practices methods of filtering as-near-as-possible all distinct 3-glider collisions that produce small constellations. I used chris_c's suggestions from gencols: techniques -- thanks, chris_c!

My last step wasn't pretty -- I turned the output stamp collection into RLE, looked through it manually until I found what I wanted, then searched for the pattern at that orientation ("..***!!!!!**!**") in the original gencols output text. For a one-time search it was faster than writing a script to do this properly... but it would sure be nice to have a decent utility that's really designed to find this kind of 3-glider constellation recipe.

#C 25-glider recipe for simsim314's adjustable 4-engine Cordership
x = 426, y = 386, rule = B3/S23
47bo$48bo19bobo$46b3o20b2o$69bo304bo$373bo$373b3o24$360bo$359bo$359b3o
26$350bo$107bo241bo$108b2o239b3o$107b2o43$117bo$115bobo$116b2o$258bobo
$258b2o$259bo17$116bo$117b2o$116b2o37$173bobo$174b2o$174bo3$222bo$220b
2o$221b2o41$173b2o$172bobo$174bo5$189b2o$189bobo$189bo$145b2o$144bobo$
146bo12$119b2o$118bobo$120bo2$225b3o$225bo$226bo2$262b2o$261b2o$263bo
22$356b3o$356bo$357bo16$275b2o$275bobo$275bo11$113bo$113b2o$112bobo3$
377b2o$377bobo$377bo31$49b2o$50b2o$49bo$382bo$381b2o$381bobo12$423b3o$
423bo$424bo27$3o$2bo$bo!

My original recipe looked like this --

x = 82, y = 76, rule = B3/S23
obo$b2o$bo74bo$75bo$75b3o18$2bo$obo$b2o25$39b2o$39b2o2$44b3o9$19b2o$
19b2o3$4bo$4b2o$3bobo2$27b2o14b2o$27b2o13b2o$44bo2$79b2o$79bobo$79bo!

-- but it was possible to replace one block in the southwest with a glider. I didn't see how to replace the other one in the same way, but that doesn't mean that it's impossible.

Also, one glider deletes a leftover block that is only there because the two Cordership half-recipes don't quite overlap cleanly. 24 gliders or less is still a definite possibility here.
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