Thread for your fast components

[GUYTU6J]

components_v4.rle has a three-glider collision that works.

Nice! that slipped my mind when looking for a completion.

This leads to a bunch of constellation components.

I am confident that we could contrive a convertion of the constellations by connecting components to complex strict still lives
Among the reactions in your post, I like this elegant 2-glider integral-siamese-fishhook-tail-maker most.

Code: Select all

x = 35, y = 30, rule = LifeHistory
2.A12.A.A$A.A12.2A$.2A13.A2$6.A.A23.A$7.2A23.A.A$7.A24.2A3$15.2D$15.D
.D$17.D$9.C5.D.D$7.C.C5.2D$8.2C3.2D$14.D$11.3D$10.D17.2A$10.2D16.A.A$
11.D16.A$11.D.D$12.2D6$4.2C$5.2C$4.C!

---

There is one more fast component taken from xs14_djozx3146 for a tie shillelagh...

Catagolue reveals that the 8-glider synthesis for long^7 snake (xs13_31248gzy21248c) utilizes the same 2-glider fast component. However, similar to the aforementioned glider-catching boat formations, no other fast component apart from the ones for siamese snake (xs17_rdz01248gzy21ac) and siamese fishhook head (xs18_32qczx1248gzy41ac) is applicable, and neither of the two results [in/is] a cost reduction.

Code: Select all

x = 157, y = 94, rule = B3/S23
27bo59bo59bo$27bobo57bobo57bobo$27b2o22bobo33b2o58b2o$6bo45b2o12bo59bo
$4bobo45bo11bobo57bobo$5b2o21bo36b2o21bo23bo12b2o21bo$27bo59bo25bo33bo
$27b3o57b3o21b3o33b3o2$54bobo$55b2o$55bo68b2o$123bo2bo$124b2o$55b2o10b
2o$54bobo9bo2bo44bo$56bo10bobo45bo$68bo44b3o3$117b3o$119bo$2o116bo$b2o
26b2o4b2o52b2o4b2o52b2o4b2o$o28bobo2b2o53bobo2b2o53bobo2b2o$29bo6bo52b
o6bo52bo6bo$20b3o$20bo$21bo3$32b3o57b3o57b3o$32bo59bo59bo$33bo59bo59bo
2$106b2o$105bobo$107bo23$87bo$87bobo$87b2o$66bo$64bobo$65b2o21bo$87bo$
87b3o6$63b2o$64b2o$63bo4b2o$68bobo$68bo4$64b2o8b3o$63bobo8bo$65bo9bo
13b2o4b2o$89bobo2b2o$89bo6bo6$92b3o$92bo$93bo!

But wait, they are compatible with another fast component!

Code: Select all

x = 430, y = 176, rule = B3/S23
60bo119bo119bo119bo$60bobo117bobo117bobo117bobo$6bobo51b2o64bobo51b2o
64bobo51b2o64bobo51b2o$7b2o12bo105b2o12bo105b2o12bo105b2o12bo$7bo11bob
o105bo11bobo105bo11bobo105bo11bobo$20b2o39bo78b2o39bo78b2o39bo78b2o39b
o$60bo119bo119bo119bo$60b3o117b3o117b3o117b3o2$9bobo117bobo117bobo117b
obo$10b2o118b2o118b2o118b2o$10bo119bo119bo119bo12$31b2o118b2o118b2o
118b2o$30bo2bo116bo2bo116bo2bo116bo2bo$31bobo117bobo117bobo117bobo$32b
o119bo119bo119bo4$397bo3b3o$278bo3b3o112b2o2bo$10b2o118b2o27bo3b3o84b
2o26b2o2bo87b2o24bobo3bo$9bobo28bo3b3o82bobo27b2o2bo85bobo25bobo3bo85b
obo$11bo28b2o2bo86bo26bobo3bo86bo119bo$39bobo3bo356bo$283bo118b2o$164b
o118b2o116bobo$45bo118b2o116bobo$45b2o116bobo$44bobo$62b2o4b2o112b2o4b
2o112b2o4b2o112b2o4b2o$62bobo2b2o113bobo2b2o113bobo2b2o113bobo2b2o$62b
o6bo112bo6bo112bo6bo112bo6bo6$65b3o117b3o117b3o117b3o$65bo119bo119bo
119bo$66bo119bo119bo119bo69$60bo119bo119bo119bo$60bobo117bobo117bobo
117bobo$60b2o118b2o118b2o118b2o$21bo119bo119bo119bo$19bobo117bobo117bo
bo117bobo$7bo12b2o39bo65bo12b2o39bo65bo12b2o39bo65bo12b2o39bo$8bo51bo
67bo51bo67bo51bo67bo51bo$6b3o51b3o63b3o51b3o63b3o51b3o63b3o51b3o8$9bo
119bo119bo119bo$10bo119bo119bo119bo$8b3o117b3o117b3o117b3o3$28b2o118b
2o118b2o118b2o$27bo2bo116bo2bo116bo2bo116bo2bo$28b2o118b2o118b2o118b2o
8$397bo3b3o$278bo3b3o112b2o2bo$159bo3b3o112b2o2bo113bobo3bo$40bo3b3o
112b2o2bo113bobo3bo$40b2o2bo113bobo3bo$39bobo3bo356bo$283bo118b2o$164b
o118b2o116bobo$12b3o30bo86b3o29b2o86b3o27bobo87b3o$14bo30b2o87bo28bobo
88bo119bo$13bo30bobo86bo119bo119bo$62b2o4b2o112b2o4b2o112b2o4b2o112b2o
4b2o$62bobo2b2o113bobo2b2o113bobo2b2o113bobo2b2o$62bo6bo112bo6bo112bo
6bo112bo6bo6$65b3o117b3o117b3o117b3o$65bo119bo119bo119bo$66bo119bo119b
o119bo2$b2o118b2o118b2o118b2o$obo117bobo117bobo117bobo$2bo119bo119bo
119bo!

In Martin Grant's 8-glider canoe at butterfly (xs16_c48n98czx23) synthesis, four gliders construct a canoe, three make a butterfly that adheres to the canoe via a diagonal line of B3a-induced newborn cells, and the last cleans up a residual traffic light. The 3G+1G fast component would make a number of syntheses cheaper; for instance, the xs22_c89n84215aczw32 construction could circumvent my less-elegant 9G slow component.

Code: Select all

x = 150, y = 65, rule = B3/S23
59bo43bo$103bobo$59bo43b2o2$15bo43bo$16bo91bo$14b3o42bo13bobo32bobo$
74b2o32b2o$44bo14bo14bo$39bo4bobo$26bo12bobo2b2o13bo$27b2o10b2o102bo$
26b2o31bo84bo$142b3o$59bo2$59bo85b3o2$59bo83bo5bo$26bo116bo5bo$27b2o
30bo83bo5bo$26b2o$59bo80b2o3b3o$140bo$14b2o9bo17bo15bo77b2obo2bo$13bob
o7bobo15b3o93bobob3o$15bo8b2o3bo10bo18bo80bo$29bobo9bo99bo$29b2o11bo
16bo82bo$43bo99bo$41bobo15bo81bobo$40bobo97bobo$40b2o17bo80b2o$91bo$
59bo13bo18b2o$74bo16b2o$59bo12b3o2$59bo33bo$93b2o$59bo32bobo2$59bo$2o
96b2o$b2o56bo38bobo$o97bo$59bo2$59bo2$59bo2$59bo2$59bo2$59bo2$59bo2$
59bo2$59bo18bo$78b2o$59bo17bobo!

The fast component is rather slow and messy, and in case it does not work, the sole result for 2bo$b3o$2o$bo! in 12x12-1G-octohash may be substituted costing one more glider.

Code: Select all

#C [[ STOP 57 ]]
x = 165, y = 53, rule = B3/S23
31bo39bo79bo$29b2o38b2o78b2o$30b2o38b2o78b2o3$118bo$119b2o$118b2o8$19b
2o38b2o78b2o$18bobo37bobo77bobo$20bo39bo79bo2$31bo39bo79bo$30b2o38b2o
78b2o$30bobo37bobo77bobo3$27bo121bo$68bo79bobo$23b3o3bo37bobo78bobo$
25bo2b2o37bobo79bo$24bo3bobo37bo2$150bo$24bo44bo79bobo$23b2o43bobo78bo
2bo$23bobo42bo2bo78b2o$69b2o10$3o37b3o79b2o$2bo39bo80b2o$bo39bo80bo3$
162b2o$81b2o79bobo$81bobo78bo$81bo!

Applications:

Code: Select all

x = 1130, y = 53, rule = B3/S23
903bo$40bo860bobo98bo$39bo695bo166b2o96bobo98bo$39b3o592bo98b2o266b2o
96bobo$244bo86bo201bo98b2o100b2o364b2o$143bo61bo38bobo82b2o99bo100b2o
100b2o$5bo98bo38bobo60b2o36b2o84b2o96b2o102b2o$3bobo99b2o36b2o60b2o
222b2o372bo103bo$4b2o98b2o698bo103bo97bo$802b3o101b3o98bo97bo$1005b3o
98bo$1104b3o3$909bo$910bo97bo$908b3o98bo97bo$1007b3o98bo$1106b3o$319b
2o$318bobo97b2o506b2o$320bo96bobo507bo97b2o$419bo300bo206bob2o95bo97b
2o$331bo386b2o103b2o103bo2bo94bob2o95bo$330b2o98bo288b2o103bo2b2o101b
2o95bo2bo94bob2o$330bobo96b2o393bobo2bo199b2o95bo2bo$429bobo393bo2b2o
298b2o6$21b3o3bo93b3o3bo93b3o3bo93b3o3bo93b3o3bo93b3o3bo93b3o3bo93b3o
3bo93b3o3bo93b3o3bo93b3o3bo93b3o3bo$23bo2b2o95bo2b2o95bo2b2o95bo2b2o
95bo2b2o95bo2b2o95bo2b2o75bo19bo2b2o95bo2b2o95bo2b2o95bo2b2o95bo2b2o$
22bo3bobo93bo3bobo93bo3bobo93bo3bobo93bo3bobo93bo3bobo93bo3bobo74b2o
17bo3bobo93bo3bobo93bo3bobo93bo3bobo93bo3bobo$702bobo35b2o$639b2o99bob
o$22bo99bo99bo99bo99bo99bo15b2o65b2o15bo16bobo80bo17bo81bo99bo99bo99bo
$21b2o98b2o98b2o98b2o98b2o81b2o15b2o15bobo63bobo14b2o16bo81b2o98b2o98b
2o98b2o98b2o$21bobo97bobo97bobo97bobo97bobo79bobo15bobo14bo67bo14bobo
97bobo97bobo97bobo97bobo97bobo$505bo$905b3o$5b3o195b3o701bo96b3o$7bo
94b3o100bo496b3o96b2o103bo99bo96b3o$6bo97bo99bo396b3o100bo95bobo202bo
99bo$103bo396b3o100bo99bo98bo301bo$502bo99bo193b3o$501bo296bo$3o197b3o
97b3o397b3o94bo102b3o$2bo96b3o100bo99bo96b3o197b3o100bo199bo96b3o$bo
99bo99bo99bo99bo96b3o100bo99bo199bo99bo96b3o$100bo299bo99bo99bo399bo
99bo$499bo599bo!

[GUYTU6J]

By carefully choosing a corner bun edge-shooter and applying it to known long^n snake syntheses, I am able to reduce xs15_69eg8oz321, xs16_255m853zw32 and xs18_255m853zca1 ... and ... xs18_255m853zw346 synthesis.
Replacing the bun with a century seems much harder to do in 3G, though.

I generalized the strategy to certain fishhook/house derivatives, e.g. xs21_25ao4czcie123, xs22_25ao4a4zcie123 and xs23_1787p8zw321eic.

The corresponding slow component for attaching a R-bee is very expensive.

Code: Select all

x = 96, y = 28, rule = B3/S23
bo37bo$2bo7bo29bo6bo31bo$3o7bobo25b3o5bo6bo26b2o$10b2o34b3o3bo26b2o$
52b3o$6bo33bo45bo$4bobo34b2o7bo27bo7bobo4b2o$5b2o33b2o6b2o26bobo7b2o4b
4o$49b2o2b3o21b2o12b2ob2o$36bo16bo38b2o$36b2o16bo19bo$35bobo37b2o$13bo
29b2o29b2o7b2o$6b2o4bobob2o24bo2bo36bo2bo$7b2o4bo3bo24b2o2bo35b2o2bo$
6bo7b3o30bo24b2o13bo2b2o$16bobo29bo22bobo14bo2bo$17bobo29bo23bo15b2o$
18bo29b2o41b3o$7b3o81bo2bo$9bo82b2o$8bo2$11b2o$11bobo$6b2o3bo$5bobo$7b
o!

Meanwhile, the following synthesis for xs15_0ggdjoz643 demonstrates a bookend attachment:

Code: Select all

#N 15-623.rle
#O Mark D. Niemiec's life synthesis database, Thu Feb 19 02:00:43 2015
x = 37, y = 17, rule = B3/S23
34bxx$35bx$14bo19bx$12bobobbo16bxbx$13boobbobo12bxxbxx$17boo14bx$boo5b
oo21bxbx$bboo4bobo20bxx$bo6bo$24boo$23boo$25bo$3o$bbo$bo22boo$23boo$
25bo!

It surely is cheaper than the relevant slow component.

Code: Select all

x = 24, y = 31, rule = B3/S23
7bo$5bobo$6b2o2$2bo$obo$b2o4$20bo$19b2o$19bobo2$16b2o$16bobo$16bo2$6bo
$6b2o$5bobo3b2o$10b2o$12bo$6bo$6b2o$5bobo3$21b3o$21bo$22bo!

Code: Select all

#C [[ GRID MAXGRIDSIZE 14 THEME Catagolue ]]
#CSYNTH xs23_69acgg0si6zx3443 costs 12 gliders (true).
#CLL state-numbering golly
x = 65, y = 22, rule = B3/S23
61bo$49bo5bo4bo$50b2o3bobo2b3o$49b2o4b2o2$58bo$45bo4bo6bo$46bo4bo
5b3o$44b3o2b3o$62b2o$62bobo$62bo$46b3o6b2o$5bo42bo5bo2bo$3bobo41bo
6bo2bo$4b2o5b2o39b2ob2o$11bobo37bobo$obo8bo38bo2bo$b2o48b2o$bo4b2o
$6bobo$6bo!

Actually in this example the 2-glider B-heptomino synthesis is replaced with a 3-glider one, adjusting direction of attack and thus gaining better clearance than the bun edgeshooter.

Code: Select all

x = 91, y = 39, rule = B3/S23
11bo50bo$9b2o49bobo10bo$10b2o49b2o9bo$72b3o$obo10bo$b2o9bobo$bo10bobo
59bo$13bo60bo$74bo2$70b3o3b3o$17b2o$17bobo54bo$17bo56bo$74bo$9bo$9b2o$
8bobo3b2o$13b2o$15bo$9bo75b2o$9b2o74bobo$8bobo74bo3$24b3o$24bo$25bo42b
3o$70bo7b2o$69bo8bobo$78bo2$68b3o$70bo$69bo2$89b2o$88b2o$90bo!

Applications of both R-bee and bookend insertions:

Code: Select all

x = 2238, y = 170, rule = B3/S23
7bo111bo100bobo2bo95bobo87bo109bo280bo139bo58bo98bobo101bo120bobo374bo
148bo49bo168bo33bo36bo65bo$5bobo109b2o101b2o3bobo93b2o4bo81b2o10bobo
95b2o279bobo139bobo57bo98b2o6bo95b2o118b2o373bobo148bobo48bo167bobo29b
obo34b2o64bobo$6b2o106bo3b2o101bo3b2o95bo3bo78bo4b2o9b2o97b2o279b2o
139b2o56b3o13bo84bo8b2o40bo51b2o18bo101bo374b2o148b2o47b3o167b2o31b2o
35b2o64b2o$112b2o115b2o8bo86b3o76bobo14bo82bo508b2o93b2o40bo72bobo479b
o$113b2o114bobo7bobo163b2o99bo508b2o134b3o70b2o480bobo233bobo$7bo4bobo
6bobo77b2o126bo9b2o71bo89bo101b3o614bo584b2o234b2o$8b2o2b2o7b2o77bobo
3bobo98b2o98bo4bobo87bo6bo408bo303bo820bo$7b2o4bo8bo79bo3b2o98bobo98b
2o3b2o88bo6bo406b2o302b3o203bobo381bo498bo$107bo92b3o5bo92bo4bobo100bo
391bo15b2o93bo116bo296b2o15bo365bobo8bobo194bo292b2o$116bobo83bo98b2o
102b2o395b2o106bobo6bo109bobo295bo14bo361bobo2bobo8b2o195bobo289b2o25b
o$116b2o83bo98bobo101bobo394b2o8b3o97b2o4b2o110b2o92bo89bo128b3o360b2o
3bo10bo195b2o316bo$106bo10bo282b2o4bo404bo106b2o203b2o86bobo491bo529b
3o$105b2o294b2o409bo301bobo5bobo87b2o715bo$b2o102bobo207b3o82bo122bo
278b2o311b2o796b3o12b2o182bo$obo312bo205b2o10bobo265bobo115bo195bo799b
o12bobo182bo$2bo313bo200bo4b2o9b2o268bo114b2o294bo699bo196b3o$517bobo
14bo383bobo90b2o201bobo$17b3o497b2o491b2o202b2o$17bo305b2o189bo491b2o
4bo198bo110bo792b2o$18bo93b3o207b2o190bo6bo291b2o190bobo202b2o108b2o
793bobo$10b2o100bo211bo189bo6bo291bobo191bo202bobo108b2o393b3o396bo$
11b2o100bo197b2o104b3o101bo291bo196b3o703bo103bobo$10bo96b2o201bobo
104bo99b2o286bo206bo704bo102b2o391bo$108b2o202bo105bo82bo14bobo286b2o
204bo216bobo86b3o389b2o110bo279bo109b2o$107bo294b2o97b2o9b2o4bo285bobo
421b2o89bo390b2o389b2o109b2o$403b2o95bobo10b2o714bo88bo390bo390bobo12b
2o$402bo109bo387b2o213b2o694bo303bobo$901b2o211bobo693bobo302bo98b2o$
900bo215bo693b2o12b2o4bo197bo184b2o$1824bobo2bo199b2o184bo$236bo669bo
917bo4b3o196b2o$235b2o669b2o201b2o$235bobo667bobo202b2o708b2o197bo$
939bo86bo82bo91b2o616b2o6b2o190b2o7bo172b2o$212b3o314b3o406b2o85b2o
173bobo618bo5bobo188bobo6b2o171bobo29b2o$214bo314bo408bobo84bobo174bo
605b2o17bo199bobo106b2o64bo28b2o$213bo316bo1278b2o325bobo94bo$514b2o
393b3o92b3o100bo40b2o658bo327bo75b2o$515b2o394bo94bo100b2o38b2o789b3o
165bo104bobo$514bo395bo94bo100bobo40bo788bo114b2o51b2o105bo$1118b2o
819bo112b2o51bobo$1117bobo180b3o606b2o143bo$1119bo182bo607b2o88b2o$
1301bo37b2o568bo91b2o$1338b2o660bo$1340bo$1309b2o$1308bobo$1310bo$
1224b3o$1224bo$1225bo622bo$1203b2o642b2o$1204b2o641bobo$1203bo$1800b3o
$1802bo$1801bo8$2067bo$2066b2o$2066bobo2$2005b3o$2007bo$2006bo29$7bo
111bo100bobo2bo95bobo257bo125bo94bo198bo98bobo101bo120bobo83bo96bo107b
o85bo$5bobo109b2o101b2o3bobo93b2o256bobo126bo91bobo199bo98b2o6bo95b2o
118b2o83bobo95bobo106bo82bobo$6b2o106bo3b2o101bo3b2o95bo257b2o124b3o
92b2o197b3o13bo84bo8b2o92b2o18bo101bo83bobo95b2o105b3o83b2o$112b2o115b
2o783b2o93b2o113bobo180b2o2bo100bo92bo100bo$113b2o114bobo783b2o207b2o
180bobo102bo91bobo100bobo$7bo4bobo86b2o126bo82bo308bo92bo94bo311bo286b
o102b3o90b2o15bobo82b2o$8b2o2b2o86bobo3bobo98b2o98bo4bobo304b2o91bobo
95bo311bo277b2o219b2o$7b2o4bo88bo3b2o98bobo98b2o3b2o306b2o87bo3b2o93b
3o309b3o203bobo72b2o98bo120bo87bo$107bo92b3o5bo92bo4bobo398bobo91bo
110bo25bobo385b2o72bo101b2o205bobo135bobo$202bo98b2o21bo383b2o11bo80b
2o106bobo6bo18b2o387bo173b2o201bobo2bobo135b2o$201bo98bobo19b2o395b2o
80b2o7bobo98b2o4b2o20bo183bo25bo63bo202bo194bo4bo88b2o3bo137bo$106bo
128bobo85b2o395b2o88b2o106b2o203b2o22b2o62bobo202bobo191bo4b2o88bo$18b
o86b2o128b2o464bo9b3o97bo302bobo5bobo23b2o62b2o202b2o83b2o107b3o2bobo
3bo$b2o14bo87bobo128bo78b3o384bo8bo90b2o311b2o294bo88bobo102bobo12bo$o
bo14b3o295bo265bobo116b3o9bo88bobo9bo105bo195bo294b2o90bo103b2o12b3o$
2bo313bo265b2o2bobo214bo9bobo102b2o294bo195bobo193bo110bo$113bo468bo3b
2o132bobo90b2o103bobo90b2o12bobo186bobo123bo259b2o114bo$112bo474bo132b
2o288b2o13b2o187b2o122b2o261b2o113b3o$112b3o606bo284b2o4bo13bo184bo
110bo16b2o75b2o94bo87bo$1005bobo202b2o108b2o93b2o4b3o87bo$1007bo202bob
o108b2o94bo3bo84b3o2b3o$18bo991b3o409bo83bo313bobo$17b2o4b2o559b2o426b
o494bo312b2o$17bobo3bobo87bo208b3o4bo253b2o426bo305b3o501bo$23bo88b2o
4b2o202bo5b2o255bo227b2o504bo397bo$112bobo3bobo202bo4bobo481b2o4b3o
497bo302bo94b2o4b2o$118bo695bo3bo81b2o213b2o503b2o4b2o88bobo3bobo86bo$
819bo81b2o211bobo503bobo3bobo93bo87bobo$720b2o178bo215bo509bo183b2o12b
2o4bo$720bobo3b2o1096bobo2bo$720bo4b2o179bo318bo598bo4b3o$727bo178b2o
201b2o113bo287bo$905bobo202b2o112b3o284b2o4b2o301b2o$1109bo91b2o308bob
o3bobo299b2o6b2o$1200bobo314bo303bo5bobo$235b2o965bo605b2o17bo$235bobo
3b2o1566b2o$235bo4b2o865bo700bo$242bo695b2o85b2o80b2o$550b2o386bobo3b
2o79bobo3b2o73bobo$551b2o385bo4b2o80bo4b2o$550bo394bo86bo267b3o$1147b
3o4bo147bo$1147bo5b2o146bo$1148bo4bobo4$1338b3o4bo$1338bo5b2o$1339bo4b
obo$557b2o$556bobo$558bo666bo$1224b2o4b2o$1224bobo3bobo$1230bo616b2o$
1847bobo3b2o$1847bo4b2o$1854bo8$619b3o4bo$619bo5b2o$620bo4bobo!

Would it be possible to attach R-loaf/wing or R-mango/dove this way?

[MathAndCode]

Would it be possible to attach R-loaf/wing or R-mango/dove this way?

I know of a way for a wing but not a dove.

Code: Select all

x = 1516, y = 132, rule = B3/S23
7bo111bo100bobo2bo95bobo677bo98bobo101bo$5bobo109b2o101b2o3bobo93b2o679b
o98b2o6bo95b2o$6b2o106bo3b2o101bo3b2o95bo677b3o13bo84bo8b2o92b2o18bo$
112b2o115b2o95bo687b2o93b2o113bobo$113b2o114bobo92b2o689b2o134bo72b2o
$7bo4bobo86b2o126bo7bobo72bo12b2o794bo27b2o$8b2o2b2o6bo79bobo3bobo98b
2o28b2o68bo4bobo807bo27b2o$7b2o4bo5bo82bo3b2o98bobo29bo68b2o3b2o806b3o
$19b3o85bo92b3o5bo92bo4bobo$202bo98b2o$115bo85bo98bobo724bobo93bo89bo
$106bo7bo912b2o94b2o86bobo$105b2o7b3o911bo85bobo5bobo87b2o$b2o102bobo
207b3o797b2o$obo312bo799bo$2bo313bo897bo$1011b2o201bobo$1010b2o202b2o
$4b3o999b2o4bo198bo$6bo4bo293b2o698bobo202b2o$5bo5b2o88b3o202b2o699bo
202bobo$10bobo90bo4bo196bo5b3o696b3o$102bo5b2o203bo698bo$107bobo202bo
698bo$1227bo$1226bo$1115b2o109b3o$1114bobo$1116bo3$207bo901b2o$207b2o
901b2o$206bobo4b2o894bo91b2o$212bobo784bo200bobo$214bo784b2o201bo$998b
obo4b2o$1004bobo100bo$1006bo100b2o3b2o$1106bobo4b2o$1112bo5b3o$1120bo
$1119bo8$1197b3o$1199bo4bo$1198bo5b2o$1203bobo47$1508bo$1508bobo$1508b
2o$1512bo$1511bo$1511b3o2$311b2o1188bo$310bobo1189b2o$310bo1190b2o$311b
o$312bo2b2o$313bo2bo1184b2o11bo$306b2o6b2o1184bobo10bo$306b2o8b3o1183b
o10b3o$316bo2bo$317bobo$318bo2$311bo$310b2o1194b3o$310bobo1193bo$1507b
o6$1494b3o$1496bo4bo$1495bo5b2o$1500bobo!

[GUYTU6J]

Would it be possible to attach R-loaf/wing or R-mango/dove this way?

I know of a way for a wing but not a dove. ...

Good job! My attempt for that went to a wrong direction; a 3o$b2o$2bo$3bo! converts xs12_69jzx1246 to xs20_8kieg84213zx346.

Code: Select all

x = 29, y = 21, rule = B3/S23
24bo$24bobo$19bo4b2o$19bobo$19b2o$13bo$12bo$12b3o3$26bobo$bo24b2o$b2o
24bo$obo18bo$16bobo2bobo$17b2o2b2o$17bo2$11b3o$11bo$12bo!

As for a dove, the solution turns out to be a little obscure. This 3-glider option converts xs14_0g8ehrz121 to xs23_025ao4czo4ie123z01.

Code: Select all

x = 18, y = 25, rule = B3/S23
2bo$obo$b2o$6bo$6bobo$6b2o2$10bo$9bobo$4bobo2bobo$5b2o3bo$5bo9bo$15bob
o$15b2o4$8b3o$10bo$9bo3$15bo$14b2o$14bobo!

One of its serious shortcomings is that a cell dangling on the far side two ticks before stabilization could induce unwanted birth. A 2-stage 4-glider recipe suggested by octohash may be applied instead, shown below converting xs14_69jzx12453 to xs23_69jzx1245r88gzy41221.

Code: Select all

x = 28, y = 28, rule = B3/S23
2bo$obo10bo$b2o9bo$12b3o3$14bo$14bo$14bo2$10b3o3b3o2$14bo$14bo$14bo3$b
o$2b2o$b2o$25b2o$17b2o6bobo$16bo2bo5bo$16bo2bo$17b2o$12b2o$11bo2bo$12b
2o!

Another 4-glider choice is to smash a B-heptomino with a glider and clear a residual traffic light:

Code: Select all

x = 629, y = 55, rule = B3/S23
7bo111bo100bobo2bo113bobo59bo98bobo102bo$5bobo109b2o101b2o3bobo111b2o
61bo98b2o6bo96b2o$6b2o106bo3b2o101bo3b2o113bo59b3o13bo84bo8b2o93b2o18b
o$112b2o115b2o183b2o93b2o114bobo$113b2o114bobo183b2o133bo74b2o$7bo4bob
o86b2o126bo6bobo282bo26b2o$8b2o2b2o5bo80bobo3bobo98b2o27b2o74bo209bo
26b2o$7b2o4bo4bo83bo3b2o98bobo28bo72bobo6bo200b3o$18b3o86bo92b3o5bo
102b2o4b2o$202bo115b2o$114bo86bo224bobo94bo90bo$106bo6bo312b2o95b2o87b
obo$105b2o6b3o203bo107bo86bobo5bobo88b2o$b2o102bobo210b2o195b2o$obo
315bobo194bo$2bo612bo$19b2o390b2o202bobo$18b2o390b2o203b2o$20bo93b2o
290b2o4bo199bo$113b2o290bobo203b2o$7bo107bo291bo203bobo$7b2o401b3o$6bo
bo95bo307bo$104b2o305bo$103bobo194b2o325bo$301b2o323bo$300bo214b2o109b
3o$514bobo$306bo209bo$306b2o$236b3o66bobo$236bo102b3o167b2o$237bo101bo
170b2o$340bo85b3o80bo92b2o$209b2o215bo174bobo$208bobo95b2o119bo175bo$
210bo94bobo241b2o$307bo93b2o104bo41bobo$400bobo104b2o40bo$402bo103bobo
2$514b3o$516bo$515bo5$627b2o$626b2o$628bo2$601bo$601b2o$600bobo!

[MathAndCode]

But wait, they are compatible with another fast component!

Code: Select all

x = 430, y = 176, rule = B3/S23
60bo119bo119bo119bo$60bobo117bobo117bobo117bobo$6bobo51b2o64bobo51b2o
64bobo51b2o64bobo51b2o$7b2o12bo105b2o12bo105b2o12bo105b2o12bo$7bo11bob
o105bo11bobo105bo11bobo105bo11bobo$20b2o39bo78b2o39bo78b2o39bo78b2o39b
o$60bo119bo119bo119bo$60b3o117b3o117b3o117b3o2$9bobo117bobo117bobo117b
obo$10b2o118b2o118b2o118b2o$10bo119bo119bo119bo12$31b2o118b2o118b2o
118b2o$30bo2bo116bo2bo116bo2bo116bo2bo$31bobo117bobo117bobo117bobo$32b
o119bo119bo119bo4$397bo3b3o$278bo3b3o112b2o2bo$10b2o118b2o27bo3b3o84b
2o26b2o2bo87b2o24bobo3bo$9bobo28bo3b3o82bobo27b2o2bo85bobo25bobo3bo85b
obo$11bo28b2o2bo86bo26bobo3bo86bo119bo$39bobo3bo356bo$283bo118b2o$164b
o118b2o116bobo$45bo118b2o116bobo$45b2o116bobo$44bobo$62b2o4b2o112b2o4b
2o112b2o4b2o112b2o4b2o$62bobo2b2o113bobo2b2o113bobo2b2o113bobo2b2o$62b
o6bo112bo6bo112bo6bo112bo6bo6$65b3o117b3o117b3o117b3o$65bo119bo119bo
119bo$66bo119bo119bo119bo69$60bo119bo119bo119bo$60bobo117bobo117bobo
117bobo$60b2o118b2o118b2o118b2o$21bo119bo119bo119bo$19bobo117bobo117bo
bo117bobo$7bo12b2o39bo65bo12b2o39bo65bo12b2o39bo65bo12b2o39bo$8bo51bo
67bo51bo67bo51bo67bo51bo$6b3o51b3o63b3o51b3o63b3o51b3o63b3o51b3o8$9bo
119bo119bo119bo$10bo119bo119bo119bo$8b3o117b3o117b3o117b3o3$28b2o118b
2o118b2o118b2o$27bo2bo116bo2bo116bo2bo116bo2bo$28b2o118b2o118b2o118b2o
8$397bo3b3o$278bo3b3o112b2o2bo$159bo3b3o112b2o2bo113bobo3bo$40bo3b3o
112b2o2bo113bobo3bo$40b2o2bo113bobo3bo$39bobo3bo356bo$283bo118b2o$164b
o118b2o116bobo$12b3o30bo86b3o29b2o86b3o27bobo87b3o$14bo30b2o87bo28bobo
88bo119bo$13bo30bobo86bo119bo119bo$62b2o4b2o112b2o4b2o112b2o4b2o112b2o
4b2o$62bobo2b2o113bobo2b2o113bobo2b2o113bobo2b2o$62bo6bo112bo6bo112bo
6bo112bo6bo6$65b3o117b3o117b3o117b3o$65bo119bo119bo119bo$66bo119bo119b
o119bo2$b2o118b2o118b2o118b2o$obo117bobo117bobo117bobo$2bo119bo119bo
119bo!

A similar trick works with teardrops.

Code: Select all

x = 310, y = 176, rule = B3/S23
60bo119bo119bo$60bobo117bobo117bobo$6bobo51b2o64bobo51b2o64bobo51b2o$
7b2o12bo105b2o12bo105b2o12bo$7bo11bobo105bo11bobo105bo11bobo$20b2o39b
o78b2o39bo78b2o39bo$60bo119bo119bo$60b3o117b3o117b3o2$9bobo117bobo117b
obo$10b2o118b2o118b2o$10bo119bo119bo12$31b2o118b2o118b2o$30bo2bo116bo
2bo116bo2bo$31bobo117bobo117bobo$32bo119bo119bo6$10b2o118b2o118b2o$9b
obo117bobo117bobo$11bo119bo119bo7$62b2o4b2o112b2o4b2o112b2o4b2o$62bob
o2b2o113bobo2b2o113bobo2b2o$62bo6bo112bo6bo112bo6bo2$259b2o$140b2o118b
2o$21b2o118b2o116bo36b3o$22b2o116bo36b3o116bo$21bo36b3o4b3o109bo7b3o109b
o7b3o$58bo6bo112bo6bo119bo$59bo6bo119bo119bo69$60bo119bo119bo$60bobo117b
obo117bobo$60b2o118b2o118b2o$21bo119bo119bo$19bobo117bobo117bobo$7bo12b
2o39bo65bo12b2o39bo65bo12b2o39bo$8bo51bo67bo51bo67bo51bo$6b3o51b3o63b
3o51b3o63b3o51b3o8$9bo119bo119bo$10bo119bo119bo$8b3o117b3o117b3o3$28b
2o118b2o118b2o$27bo2bo116bo2bo116bo2bo$28b2o118b2o118b2o16$12b3o117b3o
117b3o$14bo119bo119bo$13bo119bo119bo$62b2o4b2o112b2o4b2o112b2o4b2o$62b
obo2b2o113bobo2b2o113bobo2b2o$62bo6bo112bo6bo112bo6bo2$259b2o$140b2o118b
2o$21b2o118b2o116bo36b3o$22b2o116bo36b3o116bo$21bo36b3o4b3o109bo7b3o109b
o7b3o$58bo6bo112bo6bo119bo$59bo6bo119bo119bo2$b2o118b2o118b2o$obo117b
obo117bobo$2bo119bo119bo!

[GUYTU6J]

A similar trick works with teardrops.
...

Sure it is. I think the next step would be going for a 3o$o2bo$obo$bo! and a b3o$o2bo$obo$2o! but I have no clue how. The canoe at moth (xs17_c48n9aczx23) synthesis labelled as #278 here consumes 13 gliders, five for the canoe and eight for the expensive moth.
---
Unrelated, I expanded a collection here again.

Code: Select all

x = 183, y = 113, rule = LifeHistory
103.C4.C$45.C56.C4.C$46.C55.3C2.3C$19.C.C22.3C$19.2C$2.C17.C$3.C$.3C
86.C$60.C30.2C$58.2C30.2C$59.2C3$93.2D$50.2D38.2D2.D$A.A37.A.A7.D2.D
26.A.A7.D.2D$.2A5.2D31.2A5.2D2.2D10.2C15.2A5.2D$.A39.A22.C.C14.A$64.C
24.2C$58.C31.2C$57.2C30.C$57.C.C2$3A37.3A37.3A$2.A39.A39.A$.A39.A39.A
5$2.3A37.3A37.3A$4.A39.A39.A$3.A39.A39.A8$14.C$13.C49.C81.C.C$13.3C
46.C82.2C33.C$62.3C26.C.C52.C32.C$92.2C85.3C$92.C2$16.C$15.C40.C$15.
3C37.C78.C9.C$55.3C74.C.C7.2C28.D$90.D4.C35.2D2C8.2C26.D.D$49.2D38.D.
D.2C37.D39.D$8.2D38.D.D37.D.D3.2C33.3D37.2CD$8.D39.D39.D39.D39.C.C$A.
A6.D6.C23.A.A6.D6.3C21.A.A6.D7.2C21.A.A6.D30.A.A6.C$.2A5.2D5.2C24.2A
5.2D6.C24.2A5.2D7.C.C21.2A5.2D31.2A5.2D$.A13.C.C23.A15.C23.A15.C23.A
39.A3$144.2C$144.C.C33.2C$144.C35.C.C$3A37.3A37.3A37.3A37.3A17.C$2.A
39.A39.A39.A39.A$.A39.A39.A39.A39.A5$2.3A37.3A37.3A37.3A37.3A$4.A39.A
39.A39.A39.A$3.A39.A39.A39.A39.A12$16.C$16.C.C24.C15.C$16.2C23.C.C15.
C.C29.C$42.2C15.2C31.2C$91.2C3$52.2D36.3C$51.D2.D37.CD$10.D6.C32.D2.D
36.DC.D$9.D.D.D2.2C31.D.2D36.D.2D$A.A6.D2.2D2.C.C21.A.A6.D30.A.A6.D$.
2A5.2D31.2A5.2D31.2A5.2D$.A39.A39.A3$62.2C35.3C$62.C.C34.C$23.C38.C
37.C$3A19.2C16.3A37.3A$2.A19.C.C17.A39.A$.A39.A39.A5$2.3A37.3A37.3A$
4.A39.A39.A$3.A39.A39.A!

Six out of eleven fast components have been used to stabilize a particular glider+bun reaction into length-3 induction coils.

Code: Select all

x = 272, y = 156, rule = B3/S23
146bo4bo$145bo4bo$145b3o2b3o5$133bo$134b2o$133b2o4$125bo$126bo$124b3o
22bobo$149b2o$150bo$132b2o$133b2o$132bo2$123bo$123b2o$122bobo2$146bo$
124b2o19b2o$123bobo12b2o5bobo$125bo12bobo$138bo2$120b3o$122bo13b2o$
121bo14bobo$136bo25$17bo$16bo69bo$16b3o66bo177bo$85b3o46bobo125bo$135b
2o125b3o$135bo2$19bo$18bo60bo$18b3o57bo$78b3o$75bo62bo$73b2o61b2o$5bo
22bobo43b2o12bobo34bo11b2o9bobo94bo6b2o$6bo21b2o58b2o36bo21b2o96bo4bob
o$4b3o12bo9bo49b3o7bo34b3o13b2o7bo94b3o5bo16bobo$18b2o59bo60bobo126b2o
$18bobo59bo59bo129bo4$263b2o$3bo119bo119bo19bobo$3b2o69bo48b2o118b2o
18bo$2bobo20bo47b2o10bo36bobo20bo96bobo$24b2o47bobo8b2o58b2o$24bobo57b
obo57bobo119bo$4b2o118b2o118b2o19b2o$3bobo12b2o58b2o43bobo12b2o103bobo
12b2o5bobo$5bo12bobo57bobo44bo12bobo104bo12bobo$18bo59bo59bo119bo2$3o
57b3o57b3o117b3o$2bo13b2o44bo13b2o44bo13b2o104bo13b2o$bo14bobo42bo14bo
bo42bo14bobo102bo14bobo$16bo59bo59bo119bo31$134bo$135b2o$134b2o3$133b
3o$135bo$125bo8bo$126bo$124b3o22bobo$149b2o$150bo3$142b3o$142bo$123bo
19bo$123b2o$122bobo2$146bo$124b2o19b2o$123bobo12b2o5bobo$125bo12bobo$
138bo2$120b3o$122bo13b2o$121bo14bobo$136bo!

Of note is one option that involves an intermediate boat, which can in fact be considered a slow component because cis-boat with tail is allowed too.

Code: Select all

#C [[ GRID MAXGRIDSIZE 14 THEME Catagolue ]]
#CSYNTH xs15_drz122ak8 costs 7 gliders (true).
#CLL state-numbering golly
x = 60, y = 38, rule = B3/S23
46bo$45bo$45b3o7$40bo$38bobo$39b2o3bo$43bo13bo$43b3o11bobo$57b2o7$
obo$b2o41bo$bo3b3o35bobo$5bo38b2o$6bo10$56b3o$56bo$57bo!

[MathAndCode]

Sure it is. I think the next step would be going for a 3o$o2bo$obo$bo! and a b3o$o2bo$obo$2o! but I have no clue how. The canoe at moth (xs17_c48n9aczx23) synthesis labelled as #278 here consumes 13 gliders, five for the canoe and eight for the expensive moth.

I managed to improve it slightly.

Code: Select all

x = 143, y = 51, rule = B3/S23
113bo$114b2o$12bo100b2o$7bo5b2o92bo$8b2o2b2o27bo66b2o30bobo$7b2o32bob
o63b2o31b2o$41b2o98bo3$2bo99bo$3b2o98b2o$2b2o35bo62b2o35bo$37b2o98b2o
$38b2o98b2o6$14bo99bo$15b2o98b2o$14b2o98b2o7$8bo99bo$9b2o98b2o$8b2o98b
2o8$37b3o97b3o$37bo99bo$38bo99bo6$33bo99bo$32b2o98b2o$bo30bobo66bo30b
obo$b2o98b2o$obo97bobo!

However, the method of forming the moth from an Octomino II seems necessary because the usual moth predecessor would cause an unwanted birth.

Code: Select all

x = 10, y = 15, rule = B3/S23
6bo$2bo3b2o$3b2o2b2o$2b2o4b2o$3b3o$4b3o$3b2ob2o$2b2o$b3o$b3o2$2obo$bo
b2o$bo3bo$2b4o!

At this point, we may as well try to turn the Octomino II into a moth with a region that stays as an induction coil. A table or trans-long bookend only costs two additional gliders, and a cap or dock only costs three additional gliders.

Code: Select all

x = 445, y = 58, rule = B3/S23
261bo$261bobo$141bo119b2o44bo$139b2o67bo99b2o$41bo98b2o64bobo98b2o$41b
obo163b2o$32bo8b2o$31bo$31b3o$37bo$36bo71bobo35bo61bobo35bo61bobo35bo
$9bo26b3o70b2o35bobo60b2o35bobo60b2o35bobo$10b2o97bo28bo7b2o61bo28bo7b
2o61bo28bo7b2o$9b2o127bobo97bobo97bobo$138b2o98b2o98b2o2$6bo99bo99bo99b
o$7b2o98b2o98b2o98b2o$6b2o35bo62b2o35bo62b2o35bo62b2o35bo$41b2o98b2o98b
2o98b2o$42b2o98b2o98b2o98b2o2$438b2o$438b2o3$18bo99bo99bo99bo$19b2o98b
2o98b2o98b2o102b2o2b2o$18b2o98b2o98b2o98b2o103bo4bo14bo$424b4o14b2o$442b
obo$426b2o$426bobo$423b2obo2bo$423bobob3o$12bo99bo38bo60bo38bo60bo38b
o74bo$13b2o98b2o35b2o61b2o35b2o61b2o35b2o75bo$12b2o98b2o36bobo59b2o36b
obo59b2o36bobo73b2o3$b2o$obo$2bo3$41b3o97b3o97b3o97b3o$41bo99bo99bo99b
o$42bo99bo99bo99bo6$37bo99bo99bo99bo$36b2o98b2o98b2o98b2o$5bo30bobo66b
o30bobo66bo30bobo66bo30bobo$5b2o98b2o98b2o98b2o$4bobo97bobo97bobo97bo
bo!

[GUYTU6J]

I think the next step would be going for a 3o$o2bo$obo$bo! and a b3o$o2bo$obo$2o! but I have no clue how. ...

The popseq program found a solution for the first one.

Code: Select all

x = 27, y = 24, rule = B3/S23
24bo$5bo18bobo$6bo17b2o$4b3o4$24bo$25bo$23b3o3$22b2o$22bobo$22bo3$5b2o
$4bobo11b2o$6bo4b2o5bobo$10b2o6bo$b2o9bo$obo$2bo!

But it turns out that a one-glider seed is hiding in plain sight.

Code: Select all

#C [[ GRID MAXGRIDSIZE 14 THEME Catagolue ]]
#CSYNTH xs16_4a9eg8ozw65 costs 8 gliders (true).
#CLL state-numbering golly
x = 70, y = 37, rule = B3/S23
21bo$20bo$20b3o4$2bo$obo$b2o2$4b2o$5b2o$4bo$53bo$54b2o$53b2o12bobo
$67b2o$68bo$55b2o$54bobo2b2o$54b2o3b2o7$57b2o$56bobo$58bo2$63b2o$
63bobo$63bo$56b2o$55bobo$57bo!

Applications:

Code: Select all

x = 1451, y = 55, rule = B3/S23
17bo99bo102bobo111bobo97bobo81bo91bo95bo99bo121bo99bo79bo99bo99bo99bo$
15b2o98b2o89bo13b2o112b2o98b2o81bo92bobo94b2o98b2o119bobo97bobo78b2o
98b2o98b2o98b2o$16b2o98b2o86bobo14bo113bo99bo81b3o90b2o94b2o98b2o120b
2o98b2o78b2o33bo64b2o33bo64b2o33bo64b2o$205b2o318bobo603bo11bobo85bo
11bobo85bo11bobo85bo$525b2o188b2o98b2o312b2o12b2o84b2o12b2o84b2o12b2o
84b2o$3bobo99bo326bobo91bo189bo2b2o95bo2b2o79bo99bo129b2o98b2o98b2o98b
2o$4b2o97bobo326b2o73bo208bobo2bo94bobo2bo79b2o98b2o104bobo97bobo97bob
o97bobo33bobo$4bo99b2o327bo74b2o207bo2b2o95bo2b2o78b2o98b2o106b2o98b2o
98b2o98b2o33b2o$118bobo386b2o10bobo586bo99bo99bo99bo35bo$118b2o399b2o
96bo522bo99bo99bo$119bo382bo17bo85bo9b2o522bobo97bobo97bobo$214b2o284b
obo103b2o8bobo521b2o98b2o98b2o89b2o$214b2o217bo67b2o102bobo97bo99bo
624bo2bo$433bobo269b2o98b2o624b2o$14b2o187b2o228b2o178b2o89bobo97bobo
321b2o10b2o86b2o10b2o86b2o10b2o$14b2o103bo84b2o9b2o396b2o85b2o98b2o21b
2o302bo2bo8b2o86bo2bo8b2o86bo2bo8b2o$119bobo81bo10bobo484b2o19b2o77b2o
5b2o12b2o303bobo11bo85bobo11bo85bobo11bo99bobo$5b2o98b2o12b2o93b2o300b
2o3b2o79b2o96bo6b2o12b2o77bo8b2o4b3o6bo116b2o185bo99bo99bo112b2o$6b2o
7b2o89b2o199bo13b2o84bo108b2o2bobo80b2o9b2o92b2o4b3o6bo84bo8bo123b2o
97b2o400bo$5bo8bobo88bo116b2o81b2o14b2o82b2o113b2o80bo10bobo91bo8bo99b
o10b2o100bobo97bobo8b2o396bo$14b2o184b2o19b2o77b3o3b2o2b2o88b3o3b2o2b
2o201b2o100bo10b2o98b2o96bo4b2o93bo4b2o406b2o$201b2o20bo78bo7bobo89bo
7bobo312b2o101bo96b2o3bo11b2o81b2o3bo406bobo$22b2o94bo81bo100bo8bo11b
2o77bo8bo189b2o19b2o104bo196b2o15bobo80b2o15b2o$2o19b2o77b2o15b2o202bo
bo277b2o17b2o319b2o97bobo57b3o3b2o92b3o3b2o92b3o3b2o92b3o3b2o$b2o20bo
77b2o14bobo201b2o202bo74bo21bo417b2o60bo4b2o93bo4b2o93bo4b2o93bo4b2o$o
99bo404b2o17b2o575bo4bo94bo4bo94bo4bo23bo70bo4bo$122bo381bobo17bobo
392b3o97b3o207bo80bo18b2o$121b2o383bo414bo99bo106bo80bo18b2o80b2o5b2o
10bobo96bo$121bobo796bo99bo87bo18b2o80b2o5b2o10bobo78bobo4bobo89bo18b
2o$1108b2o5b2o10bobo78bobo4bobo100bo15bo73b2o5b2o10bobo$1103bo3bobo4bo
bo86bo13bo15bo69bo29b2o68bo3bobo4bobo$1103b2o11bo15bo70b2o27b2o69b2o
28bobo67b2o11bo15bo$1102bobo26b2o69bobo27bobo67bobo97bobo26b2o$336b2o
94bo698bobo297bobo$335b2o94b2o$337bo93bobo1015b2o$1448b2o$436bo1013bo$
435b2o$435bobo12$976bo$975b2o98bo$975bobo96b2o$1074bobo!

[GUYTU6J]

Since the evolution of 3-glider "?-bun with tail" active region resembles that of a bun, it can be used as a fast component like the bun, bookend, wing and dove.

Code: Select all

x = 1272, y = 67, rule = B3/S23
7bo111bo100bobo2bo105bo75bo94bo109bo88bo98bobo101bo100bo96bo125bo$5bob
o109b2o101b2o3bobo101bobo76bo91bobo107bobo6bo82bo98b2o6bo95b2o96bobo
94bobo126b2o$6b2o106bo3b2o101bo3b2o103b2o74b3o92b2o108b2o4b2o81b3o13bo
84bo8b2o92b2o18bo79b2o95b2o125b2o$112b2o115b2o387b2o94b2o93b2o113bobo
179bo$113b2o114bobo483b2o207b2o180bobo110bo$7bo4bobo86b2o126bo591bo
284b2o111b2o7bo$8b2o2b2o86bobo3bobo98b2o410bo202bo199b3o193bobo6b2o$7b
2o4bo88bo3b2o98bobo200bo208b2o200b3o188bo4bo5bo87bo116bobo$107bo92b3o
5bo198bobo91bo116bobo389bo4b2o6bo85bobo$202bo205b2o92b2o506b3o2bobo86b
obo2bobo$201bo299b2o8b3o309bo89bo91bobo97b2o3bo$106bo404bo311b2o86bobo
92b2o97bo147b2o$105b2o294bo9b3o98bo301bobo5bobo87b2o92bo245b2o$b2o17b
3o82bobo294bo8bo90b2o311b2o183b2o252bo$obo17bo310bobo66b3o9bo8b2o78bob
o311bo185b2o20b3o174b2o$2bo8b2o8bo93b3o214b2o2bobo82bobo79bo12b2o396bo
85bo22bo177b2o$12b2o101bo216bo3b2o83bo94bobo192b2o201bobo93b2o12bo94b
3o78bo$11bo96b2o6bo220bo168bo9bo193b2o202b2o95b2o106bo$109b2o395b2o92b
2o104b2o4bo198bo98bo99b2o8bo$20b2o86bo315bo80bobo93b2o102bobo202b2o
199b2o$19b2o402b2o175bo106bo202bobo110b2o85bo$21bo93b2o306bobo90bo125b
o67b3o309b2o$114b2o218b2o74b3o102b2o89bo34b2o69bo311bo94b2o$116bo216b
2o77bo102bobo88b2o33bobo67bo406b2o$335bo75bo193bobo2b3o507bo$612bo$
239bo182b3o186bo203b2o$238b2o182bo391bobo$238bobo182bo216b3o173bo$213b
3o424bo88bo$215bo425bo86b2o$214bo513bobo78b2o$705b3o102b2o$237b3o467bo
101bo41b2o48b2o367bo$237bo468bo143b2o48bobo366b2o$238bo580b2o31bo49bo
366bobo$727b3o88bobo385b3o$727bo79bo12bo387bo$728bo78b2o398bo$300b2o
504bobo41b2o$301b2o547bobo415b3o$300bo549bo417bo$1269bo3$927b3o$927bo$
904b2o22bo$905b2o$904bo2$307b2o618b2o$306bobo617b2o$308bo619bo5$373b2o
$372b2o$311b2o61bo$310bobo$312bo2$372b2o$372bobo$372bo!

I was reminded of the fact by the synthesis of xs20_g8k453z1230eic, part of which forms a "?-nine with tail". However, there is a 3-glider tail-to-nine slow component, obsoleting the 6-glider fast component by one more stage.

Code: Select all

x = 112, y = 22, rule = B3/S23
6bo79bo$4bobo77bobo$5b2o10bobo65b2o10bobo$17b2o78b2o3bo$18bo79bo3bobo$
102b2o2$6b2o78b2o18bobo$bo3bobo45b2o26bo3bobo18b2o$b2o4bo46bo3b2o21b2o
4bo19bo$obo48b3o4bo21bobo$51bo2b3obo$54bo2bo5bo$19b3o33b2o6bobo33b3o$
19bo43b2o34bo$12b2o6bo71b2o6bo$13b2o78b2o14b2o$12bo47b3o3b3o23bo16bobo
$62bo3bo42bo$19b2o40bo5bo31b2o$18b2o78b2o$20bo79bo!

Also, the "boat with leg" induction coil mentioned in this post of mine allows for limited (and a little tricky) applications.

Code: Select all

x = 424, y = 68, rule = B3/S23
20bobo2bo105bo72bo107bobo87bo$20b2o3bobo101bobo73b2o106b2o85bobo$21bo
3b2o103b2o72b2o18bo88bo87b2o$29b2o193bobo100bo78bo$29bobo192b2o83bo17b
obo76bobo$29bo280b2o15b2o77b2o$7b2o300b2o$6bobo6bobo392bo$3o5bo7b2o
391bobo$2bo13bo387bobo2bobo$bo211bo93bo97b2o3bo$211bobo86bo7bo15bobo
78bo8bo$212b2o87b2o3b3o15b2o88b2o$300b2o23bo87bobo$131bobo184bobo$132b
2o2bobo75bo103b2o$132bo3b2o76bobo102bo95b3o$137bo76b2o199bo$211bo123b
3o78bo$210b2o123bo73b2o$210bobo115b3o5bo73b2o$328bo80bo$134b2o193bo$
133b2o286b2o$135bo285bobo$421bo$207bo$208bo$206b3o$314b2o$12b3o300b2o$
14bo299bo$13bo$201b2o135b2o$40b2o158bobo135bobo$39b2o161bo135bo$41bo3$
100b2o$101b2o$100bo7$203b2o$204b2o$203bo$107b2o$106bobo120b2o$108bo
120bobo$114b3o112bo$116bo$115bo2$169b2o$168b2o$170bo$110b2o$109bobo$
111bo2$175bo$174b2o$174bobo!

Code: Select all

x = 63, y = 22, rule = B3/S23
6bo$4bobo38bobo$5b2o10bobo26b2o9bo$17b2o27bo9bo$18bo37b3o2$47bo$6b2o
39b2o$bo3bobo33b3o2bobo$b2o4bo35bo$obo12bo26bo$15bobo37bo$15b2o39b2o$
55b2o$10b3o$12bo39b2o$11bo39bobo$53bo2$15bo45bo$14b2o44b2o$14bobo43bob
o!

It is time to conclude my research on this type of fast components with a previously unseen applicable substrate xs18_gjl8gkcz1243:

Code: Select all

x = 363, y = 118, rule = LifeHistory
32.A7.C71.A79.A79.A79.A$23.A7.A8.C.C60.A7.A71.A7.A71.A7.A71.A7.A$17.
3A2.2A7.3A6.2C55.3A2.2A7.3A63.3A2.2A7.3A3.C.C57.3A2.2A7.3A63.3A2.2A7.
3A$19.A2.A.A74.A2.A.A74.A2.A.A12.2C60.A2.A.A74.A2.A.A$18.A79.A79.A19.
C59.A79.A4$116.C.C$116.2C$117.C$17.A79.A79.A79.A79.A$.2A13.A.A62.2A
13.A.A62.2A13.A.A62.2A13.A.A62.2A13.A.A$A.A13.A.A61.A.A13.A.A61.A.A
13.A.A61.A.A13.A.A61.A.A13.A.A8.2D$2.A14.A64.A14.A64.A14.A64.A14.A64.
A14.A9.D$23.3D77.3D77.3D77.3D77.3D.D$23.D2.D76.D2.D76.D2.D76.D2.D76.D
2.D$24.2D4.2A73.2D3.2A72.D2.D2.2A73.D.D2.2A72.2D4.2A$29.2A78.2A74.2D
2.2A75.2D.2A78.2A$31.A79.A79.A79.A79.A4$254.2C$253.C.C$255.C2$276.C
83.C$275.2C82.2C$275.C.C81.C.C$330.3C$37.C159.3C49.3C80.C$36.2C159.C
53.C79.C$36.C.C159.C51.C$358.3C$9.3C154.2C113.2C75.C$11.C104.2C47.C.C
112.2C77.C$10.C105.C.C3.2C43.C114.C$116.C4.2C$123.C41$32.A79.A89.C
149.A$23.A7.A71.A7.A80.A8.C141.A7.A$17.3A2.2A7.3A63.3A2.2A7.3A69.A7.A
9.3C133.3A2.2A7.3A$19.A2.A.A16.C57.A2.A.A72.3A2.2A7.3A145.A2.A.A$18.A
22.C.C54.A80.A2.A.A153.A17.C$41.2C135.A177.C.C$356.2C5$17.A79.A239.A$
.2A13.A.A62.2A13.A.A78.A143.2A13.A.A$A.A13.A.A61.A.A13.A.A62.2A13.A.A
141.A.A13.A.A$2.A14.A64.A14.A62.A.A13.A.A143.A14.A$162.A14.A2$21.2D7.
2A69.2D7.2A229.2D7.2A$21.D.D5.2A70.D7.2A70.2D7.2A149.D.D5.2A$21.D.D7.
A69.D.D7.A69.D.D5.2A150.D.D7.A$22.D79.2D77.D2.D6.A150.D$182.D.D154.3D
$183.D155.D8$38.2C54.2C26.3C$37.2C56.2C25.C$39.C54.C28.C44.2C27.2C
161.2C$169.2C26.C.C154.2C4.C.C$6.3C159.C28.C155.2C5.C$8.C115.C230.C$
7.C115.2C$123.C.C!

[Entity Valkyrie 2]

I just did a 1G component

Code: Select all

x = 11, y = 11, rule = B3/S23
7bo$7bobo$7b2o$2o$o2bob2o$2b2obobo$5bobo2bo$2b2obob4o$2bobo$9b2o$9b2o
!

The same 1G component works on the drifty eater 3; a glider one lane away can reset this.

Code: Select all

x = 18, y = 21, rule = B3/S23
17bo$15b2o$16b2o7$9bo$7b2o$8b2o2$2o$o2bob2o$b3obobo$5bobo2bo$3b3ob4o$
2bo3bo$2b2o2bobo$7b2o!

[affamatodidio]

Fast bookend-snake

Code: Select all

x = 29, y = 29, rule = B3/S23
obo$b2o$bo$27bo$25b2o$26b2o3$27b2o$26b2o$28bo$23bo$23b2o$22bobo13$23b
2o$22b2o$24bo!

[GUYTU6J]

A side product of my last post, this soup involves a particular block-and-R reaction that can act on a forming eater head and has a number of popseq results.

Code: Select all

x = 107, y = 54, rule = B3/S23
104bo$104bobo$4bo53bo45b2o$5b2o52b2o$4b2o52b2o3$47bo$45b2o$46b2o2$3bob
o$4b2o$4bo11bo$14bobo$15b2o8$81b2o$81b2o3$80b2o$80b2o$95bo$93b2o$94b2o
$88bo$88bobo$88b2o$8b2o$9b2o$8bo81b3o$90bo$91bo6$bo$b2o$obo13b2o$17b2o
$16bo34b3o$51bo$52bo46b2o$98b2o$100bo!

[MathAndCode]

Here are some fast components based on the relatively new synthesis of xs19_caab8oz3156:

Code: Select all

x = 788, y = 784, rule = B3/S23
o149bo149bo149bo149bo149bo$b2o148b2o148b2o148b2o148b2o148b2o$2o148b2o
122bobo23b2o148b2o148b2o148b2o$275b2o$275bo$bo149bo149bo149bo149bo149b
o$2b2o27bo120b2o27bo120b2o27bo120b2o27bo120b2o27bo120b2o27bo$b2o26b2o
120b2o26b2o120b2o26b2o120b2o26b2o120b2o26b2o120b2o26b2o$30b2o148b2o148b
2o148b2o148b2o148b2o2$141bo$142bo$140b3o$134bo$135b2o$134b2o17$35b2o148b
2o148b2o148b2o148b2o148b2o$30b2o3bobo142b2o3bobo112bo29b2o3bobo142b2o
3bobo142b2o3bobo142b2o3bobo$26bo3bobo2bo140bo3bobo2bo112bobo25bo3bobo
2bo140bo3bobo2bo140bo3bobo2bo140bo3bobo2bo$25b2o3bo144b2o3bo118b2o24b
2o3bo144b2o3bo144b2o3bo144b2o3bo$25bobo147bobo147bobo147bobo147bobo147b
obo3$454b2o$454b2o2$292b2o$293b2o160b2o$292bo162b2o$35b2o113b2o$34b2o
115b2o36bo145b2o148b2o148b2o148b2o$36bo103b3o7bo37b2o145bobo147bobo147b
obo130b2o15bobo$142bo45bobo144bo102b3o44bo102b3o44bo102b3o26b2o16bo$141b
o298bo149bo149bo28bo$439bo25b2o122bo149bo11bo$299b2o164bobo158bo124b2o
$300b2o32b3o128bo159b2o123bobo10b2o$299bo34bo251b2o7b2o28bobo134b2o$335b
o249bobo6bobo167bo$587bo8bo16$778b2o$778bobo$778bo75$425bobo147bobo147b
obo$426b2o148b2o148b2o$426bo23bo125bo23bo125bo23bo$451b2o148b2o148b2o
$434bobo13b2o132bobo13b2o132bobo13b2o$435b2o148b2o148b2o$435bo149bo149b
o$451bo149bo149bo$452b2o27bo120b2o27bo120b2o27bo$451b2o26b2o120b2o26b
2o120b2o26b2o$480b2o148b2o148b2o24$485b2o148b2o148b2o$480b2o3bobo142b
2o3bobo142b2o3bobo$476bo3bobo2bo140bo3bobo2bo140bo3bobo2bo$430b2o43b2o
3bo99b2o43b2o3bo99b2o43b2o3bo$431b2o42bobo103b2o42bobo103b2o42bobo$430b
o149bo149bo2$454b2o$454b2o3$455b2o$455b2o2$485b2o148b2o148b2o$485bobo
147bobo130b2o15bobo$438b3o44bo102b3o44bo102b3o26b2o16bo$440bo149bo149b
o28bo$439bo25b2o122bo149bo11bo$465bobo158bo124b2o$465bo159b2o123bobo10b
2o$586b2o7b2o28bobo134b2o$585bobo6bobo167bo$587bo8bo16$778b2o$778bobo
$778bo76$426bobo147bobo147bobo$427b2o21bo126b2o21bo126b2o21bo$427bo23b
2o124bo23b2o124bo23b2o$450b2o148b2o148b2o$435bobo147bobo147bobo$436b2o
148b2o148b2o$436bo14bo134bo14bo134bo14bo$452b2o27bo120b2o27bo120b2o27b
o$451b2o26b2o120b2o26b2o120b2o26b2o$480b2o148b2o148b2o24$485b2o148b2o
148b2o$480b2o3bobo142b2o3bobo142b2o3bobo$431b2o43bo3bobo2bo95b2o43bo3b
obo2bo95b2o43bo3bobo2bo$432b2o41b2o3bo101b2o41b2o3bo101b2o41b2o3bo$431b
o43bobo103bo43bobo103bo43bobo3$454b2o$454b2o3$455b2o$455b2o2$485b2o148b
2o148b2o$485bobo147bobo130b2o15bobo$438b3o44bo102b3o44bo102b3o26b2o16b
o$440bo149bo149bo28bo$439bo25b2o122bo149bo11bo$465bobo158bo124b2o$465b
o159b2o123bobo10b2o$586b2o7b2o28bobo134b2o$585bobo6bobo167bo$587bo8bo
16$778b2o$778bobo$778bo69$425bo149bo149bo$423bobo147bobo147bobo$424b2o
148b2o148b2o6$450bo149bo149bo$451b2o148b2o148b2o$450b2o148b2o148b2o3$
451bo149bo149bo$452b2o27bo120b2o27bo120b2o27bo$436bo14b2o26b2o105bo14b
2o26b2o105bo14b2o26b2o$434bobo43b2o102bobo43b2o102bobo43b2o$435b2o148b
2o148b2o23$485b2o148b2o148b2o$480b2o3bobo142b2o3bobo142b2o3bobo$476bo
3bobo2bo140bo3bobo2bo140bo3bobo2bo$475b2o3bo144b2o3bo144b2o3bo$431b2o
42bobo103b2o42bobo103b2o42bobo$430bobo147bobo147bobo$432bo149bo149bo$
454b2o$454b2o$434b2o148b2o148b2o$433bobo147bobo147bobo$435bo19b2o128b
o149bo$455b2o2$485b2o148b2o148b2o$485bobo147bobo130b2o15bobo$438b3o44b
o102b3o44bo102b3o26b2o16bo$440bo149bo149bo28bo$439bo25b2o122bo149bo11b
o$465bobo158bo124b2o$465bo159b2o123bobo10b2o$586b2o7b2o28bobo134b2o$585b
obo6bobo167bo$587bo8bo16$778b2o$778bobo$778bo77$450bo149bo149bo$434bo
bo14b2o131bobo14b2o131bobo14b2o$435b2o13b2o133b2o13b2o133b2o13b2o$435b
o149bo149bo2$451bo149bo149bo$452b2o27bo120b2o27bo120b2o27bo$451b2o26b
2o120b2o26b2o120b2o26b2o$480b2o148b2o148b2o24$485b2o148b2o148b2o$480b
2o3bobo142b2o3bobo142b2o3bobo$476bo3bobo2bo140bo3bobo2bo140bo3bobo2bo
$475b2o3bo144b2o3bo144b2o3bo$475bobo147bobo147bobo$431bo149bo149bo$431b
2o148b2o148b2o$430bobo21b2o124bobo147bobo$454b2o3$455b2o$431b3o21b2o124b
3o147b3o$433bo149bo149bo$432bo52b2o95bo52b2o95bo52b2o$485bobo147bobo130b
2o15bobo$438b3o44bo102b3o44bo102b3o26b2o16bo$440bo149bo149bo28bo$439b
o25b2o122bo149bo11bo$465bobo158bo124b2o$465bo159b2o123bobo10b2o$586b2o
7b2o28bobo134b2o$585bobo6bobo167bo$587bo8bo16$778b2o$778bobo$778bo89$
460bo149bo149bo$458b2o148b2o148b2o$459b2o148b2o148b2o2$453bo149bo149b
o$453bo149bo149bo$453bo149bo149bo$456bo149bo149bo$455bobo3b2o142bobo3b
2o142bobo3b2o$455bobo3bo143bobo3bo143bobo3bo$453bobobobobo2b2o137bobo
bobobo2b2o137bobobobobo2b2o$452bobo3b2obobobo136bobo3b2obobobo136bobo
3b2obobobo$453bo7bobo139bo7bobo139bo7bobo$461bobo147bobo147bobo$460b2o
bob2o143b2obob2o143b2obob2o$459bo3bob2o142bo3bob2o142bo3bob2o$459b4o146b
4o146b4o2$459b2o148b2o148b2o$459b2o147bo2bo146bo2bo$608bo2bo147bobo$609b
2o149bo!

I think that the krake with tub is new.



Edit: Here are some more fast components based on the synthesis of xs22_3lkiacz01w35ac:

Code: Select all

x = 1548, y = 1242, rule = B3/S23
943bobo450bo$943b2o449b2o$769bo174bo450b2o$770b2o$622bo146b2o26bo122b
obo$623bo172bo124b2o445bo27bo$621b3o23bo148b3o122bo176bo267bobo25b2o$
195bo450bo450bo269b2o26b2o$194bo447bo3b3o119bobo174bo122bobo26b3o118b
obo$194b3o444bo127b2o174bobo121b2o148b2o312bobo9bo$495bobo143b3o125bo
175b2o122bo149bo285bo27b2o9bo$495b2o1009b2o26bo9b3o$496bo1008b2o5$42b
obo147bobo147bobo147bobo147bobo147bobo147bobo147bobo147bobo147bobo147b
obo$42b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o
$43bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo$331b2o$330bo2b
o$331b2o$22bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo$23bo149b
o149bo149bo149bo149bo149bo149bo149bo149bo149bo$21b3o147b3o147b3o147b3o
147b3o147b3o147b3o147b3o147b3o147b3o147b3o$41bo149bo149bo149bo149bo149b
o149bo149bo149bo149bo149bo$41bobo147bobo147bobo147bobo147bobo147bobo147b
obo147bobo147bobo147bobo147bobo$41b2o148b2o148b2o148b2o148b2o148b2o148b
2o148b2o148b2o148b2o148b2o3$1248bo$348b2o897b2o$347b2o898bobo$349bo2$
22b3o147b3o147b3o147b3o147b3o147b3o147b3o147b3o147b3o147b3o147b3o$24b
o149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo$23bo149bo149bo149b
o149bo149bo149bo149bo149bo149bo149bo$18b2o148b2o148b2o148b2o148b2o148b
2o148b2o148b2o148b2o148b2o148b2o$19b2o148b2o148b2o148b2o148b2o148b2o148b
2o148b2o148b2o148b2o148b2o$18bo149bo149bo149bo149bo149bo149bo149bo149b
o149bo149bo2$42b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b
2o148b2o$42bobo147bobo147bobo147bobo147bobo147bobo147bobo147bobo147bo
bo147bobo147bobo$42bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149b
o105$943bobo450bo$943b2o449b2o$769bo174bo450b2o$770b2o$622bo146b2o26b
o122bobo$623bo172bo124b2o445bo27bo$621b3o23bo148b3o122bo176bo267bobo25b
2o$195bo450bo450bo269b2o26b2o$194bo447bo3b3o119bobo174bo122bobo26b3o118b
obo$194b3o444bo127b2o174bobo121b2o148b2o312bobo9bo$495bobo143b3o125bo
175b2o122bo149bo285bo27b2o9bo$495b2o1009b2o26bo9b3o$496bo1008b2o5$42b
obo147bobo147bobo147bobo147bobo147bobo147bobo147bobo147bobo147bobo147b
obo$42b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o
$43bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo$331b2o$330bo2b
o$331b2o$22bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo$23bo149b
o149bo149bo149bo149bo149bo149bo149bo149bo149bo$21b3o147b3o147b3o147b3o
147b3o147b3o147b3o147b3o147b3o147b3o147b3o$41bo149bo149bo149bo149bo149b
o149bo149bo149bo149bo149bo$41bobo147bobo147bobo147bobo147bobo147bobo147b
obo147bobo147bobo147bobo147bobo$41b2o148b2o148b2o148b2o148b2o148b2o148b
2o148b2o148b2o148b2o148b2o3$1248bo$348b2o897b2o$347b2o898bobo$349bo2$
22b3o147b3o147b3o147b3o147b3o147b3o147b3o147b3o147b3o147b3o147b3o$24b
o149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo$23bo149bo149bo149b
o149bo149bo149bo149bo149bo149bo149bo$18b2o148b2o148b2o148b2o148b2o148b
2o148b2o148b2o148b2o148b2o148b2o$19b2o148b2o148b2o148b2o148b2o148b2o148b
2o148b2o148b2o148b2o148b2o$18bo149bo149bo149bo149bo149bo149bo149bo149b
o149bo149bo2$42b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b
2o148b2o$42bobo147bobo147bobo147bobo147bobo147bobo147bobo147bobo147bo
bo147bobo147bobo$42bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149b
o$7b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o$6b
obo147bobo147bobo147bobo147bobo147bobo147bobo147bobo147bobo147bobo147b
obo$8bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo102$943bobo450b
o$943b2o449b2o$769bo174bo450b2o$770b2o$622bo146b2o26bo122bobo$623bo172b
o124b2o445bo27bo$621b3o23bo148b3o122bo176bo267bobo25b2o$195bo450bo450b
o269b2o26b2o$194bo447bo3b3o119bobo174bo122bobo26b3o118bobo$194b3o444b
o127b2o174bobo121b2o148b2o312bobo9bo$495bobo143b3o125bo175b2o122bo149b
o285bo27b2o9bo$495b2o1009b2o26bo9b3o$496bo1008b2o5$42bobo147bobo147bo
bo147bobo147bobo147bobo147bobo147bobo147bobo147bobo147bobo$42b2o148b2o
148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o$43bo149bo149bo
149bo149bo149bo149bo149bo149bo149bo149bo$7bo149bo149bo23b2o124bo149bo
149bo149bo149bo149bo149bo149bo$8bo149bo149bo21bo2bo124bo149bo149bo149b
o149bo149bo149bo149bo$6b3o147b3o147b3o22b2o123b3o147b3o147b3o147b3o147b
3o147b3o147b3o147b3o$22bo149bo149bo149bo149bo149bo149bo149bo149bo149b
o149bo$23bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo$21b3o147b
3o147b3o147b3o147b3o147b3o147b3o147b3o147b3o147b3o147b3o$41bo149bo149b
o149bo149bo149bo149bo149bo149bo149bo149bo$41bobo147bobo147bobo147bobo
147bobo147bobo147bobo147bobo147bobo147bobo147bobo$41b2o148b2o148b2o148b
2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o3$1248bo$348b2o897b2o$347b
2o898bobo$349bo2$22b3o147b3o147b3o147b3o147b3o147b3o147b3o147b3o147b3o
147b3o147b3o$24bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo$23b
o149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo$18b2o148b2o148b2o
148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o$19b2o148b2o148b2o148b
2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o$18bo149bo149bo149bo149bo
149bo149bo149bo149bo149bo149bo2$42b2o148b2o148b2o148b2o148b2o148b2o148b
2o148b2o148b2o148b2o148b2o$42bobo147bobo147bobo147bobo147bobo147bobo147b
obo147bobo147bobo147bobo147bobo$42bo149bo149bo149bo149bo149bo149bo149b
o149bo149bo149bo$8b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o
148b2o148b2o$9b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b
2o148b2o$8bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo102$943b
obo450bo$943b2o449b2o$769bo174bo450b2o$770b2o$622bo146b2o26bo122bobo$
623bo172bo124b2o445bo27bo$621b3o23bo148b3o122bo176bo267bobo25b2o$195b
o450bo450bo269b2o26b2o$194bo447bo3b3o119bobo174bo122bobo26b3o118bobo$
194b3o444bo127b2o174bobo121b2o148b2o312bobo9bo$495bobo143b3o125bo175b
2o122bo149bo285bo27b2o9bo$495b2o1009b2o26bo9b3o$496bo1008b2o5$42bobo147b
obo147bobo147bobo147bobo147bobo147bobo147bobo147bobo147bobo147bobo$42b
2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o$43bo149b
o149bo149bo149bo149bo149bo149bo149bo149bo149bo$331b2o$8bo149bo149bo21b
o2bo124bo149bo149bo149bo149bo149bo149bo149bo$6bobo147bobo147bobo22b2o
123bobo147bobo147bobo147bobo147bobo147bobo147bobo147bobo$7b2o13bo134b
2o13bo134b2o13bo134b2o13bo134b2o13bo134b2o13bo134b2o13bo134b2o13bo134b
2o13bo134b2o13bo134b2o13bo$23bo149bo149bo149bo149bo149bo149bo149bo149b
o149bo149bo$21b3o147b3o147b3o147b3o147b3o147b3o147b3o147b3o147b3o147b
3o147b3o$41bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo$41bob
o147bobo147bobo147bobo147bobo147bobo147bobo147bobo147bobo147bobo147bo
bo$41b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o3$
1248bo$348b2o897b2o$347b2o898bobo$349bo2$22b3o147b3o147b3o147b3o147b3o
147b3o147b3o147b3o147b3o147b3o147b3o$24bo149bo149bo149bo149bo149bo149b
o149bo149bo149bo149bo$23bo149bo149bo149bo149bo149bo149bo149bo149bo149b
o149bo$18b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b
2o$19b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o$
18bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo2$42b2o148b2o148b
2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o$42bobo147bobo147bo
bo147bobo147bobo147bobo147bobo147bobo147bobo147bobo147bobo$42bo149bo149b
o149bo149bo149bo149bo149bo149bo149bo149bo3$6bo149bo149bo149bo149bo149b
o149bo149bo149bo149bo149bo$6b2o148b2o148b2o148b2o148b2o148b2o148b2o148b
2o148b2o148b2o148b2o$5bobo147bobo147bobo147bobo147bobo147bobo147bobo147b
obo147bobo147bobo147bobo100$943bobo450bo$943b2o449b2o$769bo174bo450b2o
$770b2o$622bo146b2o26bo122bobo$623bo172bo124b2o445bo27bo$621b3o23bo148b
3o122bo176bo267bobo25b2o$195bo450bo450bo269b2o26b2o$194bo447bo3b3o119b
obo174bo122bobo26b3o118bobo$194b3o444bo127b2o174bobo121b2o148b2o312bo
bo9bo$495bobo143b3o125bo175b2o122bo149bo285bo27b2o9bo$495b2o1009b2o26b
o9b3o$496bo1008b2o5$42bobo147bobo147bobo147bobo147bobo147bobo147bobo147b
obo147bobo147bobo147bobo$42b2o148b2o148b2o148b2o148b2o148b2o148b2o148b
2o148b2o148b2o148b2o$43bo149bo149bo149bo149bo149bo149bo149bo149bo149b
o149bo$331b2o$bo4bobo142bo4bobo142bo4bobo21bo2bo117bo4bobo142bo4bobo142b
o4bobo142bo4bobo142bo4bobo142bo4bobo142bo4bobo142bo4bobo$2bo4b2o143bo
4b2o143bo4b2o22b2o119bo4b2o143bo4b2o143bo4b2o143bo4b2o143bo4b2o143bo4b
2o143bo4b2o143bo4b2o$3o4bo14bo127b3o4bo14bo127b3o4bo14bo127b3o4bo14bo
127b3o4bo14bo127b3o4bo14bo127b3o4bo14bo127b3o4bo14bo127b3o4bo14bo127b
3o4bo14bo127b3o4bo14bo$23bo149bo149bo149bo149bo149bo149bo149bo149bo149b
o149bo$21b3o147b3o147b3o147b3o147b3o147b3o147b3o147b3o147b3o147b3o147b
3o$41bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo$41bobo147bo
bo147bobo147bobo147bobo147bobo147bobo147bobo147bobo147bobo147bobo$41b
2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o3$1248b
o$348b2o897b2o$347b2o898bobo$349bo2$22b3o147b3o147b3o147b3o147b3o147b
3o147b3o147b3o147b3o147b3o147b3o$24bo149bo149bo149bo149bo149bo149bo149b
o149bo149bo149bo$23bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149b
o$18b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o$19b
2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o$18bo149b
o149bo149bo149bo149bo149bo149bo149bo149bo149bo2$42b2o148b2o148b2o148b
2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o$42bobo147bobo147bobo147b
obo147bobo147bobo147bobo147bobo147bobo147bobo147bobo$42bo149bo149bo149b
o149bo149bo149bo149bo149bo149bo149bo$5bo149bo149bo149bo149bo149bo149b
o149bo149bo149bo149bo$5b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b
2o148b2o148b2o$4bobo147bobo147bobo147bobo147bobo147bobo147bobo147bobo
147bobo147bobo147bobo102$943bobo450bo$943b2o449b2o$769bo174bo450b2o$770b
2o$622bo146b2o26bo122bobo$623bo172bo124b2o445bo27bo$621b3o23bo148b3o122b
o176bo267bobo25b2o$195bo450bo450bo269b2o26b2o$194bo447bo3b3o119bobo174b
o122bobo26b3o118bobo$194b3o444bo127b2o174bobo121b2o148b2o312bobo9bo$495b
obo143b3o125bo175b2o122bo149bo285bo27b2o9bo$495b2o1009b2o26bo9b3o$496b
o1008b2o5$42bobo147bobo147bobo147bobo147bobo147bobo147bobo147bobo147b
obo147bobo147bobo$42b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b
2o148b2o148b2o$43bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo
$331b2o$330bo2bo$331b2o$22bo149bo149bo149bo149bo149bo149bo149bo149bo149b
o149bo$23bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo$21b3o147b
3o147b3o147b3o147b3o147b3o147b3o147b3o147b3o147b3o147b3o$41bo149bo149b
o149bo149bo149bo149bo149bo149bo149bo149bo$3bo37bobo109bo37bobo109bo37b
obo109bo37bobo109bo37bobo109bo37bobo109bo37bobo109bo37bobo109bo37bobo
109bo37bobo109bo37bobo$4b2o35b2o111b2o35b2o111b2o35b2o111b2o35b2o111b
2o35b2o111b2o35b2o111b2o35b2o111b2o35b2o111b2o35b2o111b2o35b2o111b2o35b
2o$3b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o2$
1248bo$348b2o897b2o$347b2o898bobo$349bo2$22b3o147b3o147b3o147b3o147b3o
147b3o147b3o147b3o147b3o147b3o147b3o$24bo149bo149bo149bo149bo149bo149b
o149bo149bo149bo149bo$23bo149bo149bo149bo149bo149bo149bo149bo149bo149b
o149bo$18b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b
2o$19b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o$
18bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo2$42b2o148b2o148b
2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o$7b3o32bobo112b3o32b
obo112b3o32bobo112b3o32bobo112b3o32bobo112b3o32bobo112b3o32bobo112b3o
32bobo112b3o32bobo112b3o32bobo112b3o32bobo$9bo32bo116bo32bo116bo32bo116b
o32bo116bo32bo116bo32bo116bo32bo116bo32bo116bo32bo116bo32bo116bo32bo$
8bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo104$943bobo450bo
$943b2o449b2o$769bo174bo450b2o$770b2o$622bo146b2o26bo122bobo$623bo172b
o124b2o445bo27bo$621b3o23bo148b3o122bo176bo267bobo25b2o$195bo450bo450b
o269b2o26b2o$194bo447bo3b3o119bobo174bo122bobo26b3o118bobo$194b3o444b
o127b2o174bobo121b2o148b2o312bobo9bo$495bobo143b3o125bo175b2o122bo149b
o285bo27b2o9bo$495b2o1009b2o26bo9b3o$496bo1008b2o5$42bobo147bobo147bo
bo147bobo147bobo147bobo147bobo147bobo147bobo147bobo147bobo$42b2o148b2o
148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o$43bo149bo149bo
149bo149bo149bo149bo149bo149bo149bo149bo$331b2o$330bo2bo$331b2o$22bo149b
o149bo149bo149bo149bo149bo149bo149bo149bo149bo$23bo149bo149bo149bo149b
o149bo149bo149bo149bo149bo149bo$21b3o147b3o147b3o147b3o147b3o147b3o147b
3o147b3o147b3o147b3o147b3o$41bo149bo149bo149bo149bo149bo149bo149bo149b
o149bo149bo$41bobo147bobo147bobo147bobo147bobo147bobo147bobo147bobo147b
obo147bobo147bobo$41b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b
2o148b2o148b2o3$1248bo$348b2o897b2o$347b2o898bobo$349bo2$22b3o147b3o147b
3o147b3o147b3o147b3o147b3o147b3o147b3o147b3o147b3o$24bo149bo149bo149b
o149bo149bo149bo149bo149bo149bo149bo$23bo149bo149bo149bo149bo149bo149b
o149bo149bo149bo149bo$10bo7b2o140bo7b2o140bo7b2o140bo7b2o140bo7b2o140b
o7b2o140bo7b2o140bo7b2o140bo7b2o140bo7b2o140bo7b2o$10b2o7b2o139b2o7b2o
139b2o7b2o139b2o7b2o139b2o7b2o139b2o7b2o139b2o7b2o139b2o7b2o139b2o7b2o
139b2o7b2o139b2o7b2o$4b2o3bobo6bo135b2o3bobo6bo135b2o3bobo6bo135b2o3b
obo6bo135b2o3bobo6bo135b2o3bobo6bo135b2o3bobo6bo135b2o3bobo6bo135b2o3b
obo6bo135b2o3bobo6bo135b2o3bobo6bo$3bobo147bobo147bobo147bobo147bobo147b
obo147bobo147bobo147bobo147bobo147bobo$5bo36b2o111bo36b2o111bo36b2o111b
o36b2o111bo36b2o111bo36b2o111bo36b2o111bo36b2o111bo36b2o111bo36b2o111b
o36b2o$17b2o23bobo122b2o23bobo122b2o23bobo122b2o23bobo122b2o23bobo122b
2o23bobo122b2o23bobo122b2o23bobo122b2o23bobo122b2o23bobo122b2o23bobo$
16b2o24bo123b2o24bo123b2o24bo123b2o24bo123b2o24bo123b2o24bo123b2o24bo
123b2o24bo123b2o24bo123b2o24bo123b2o24bo$18bo149bo149bo149bo149bo149b
o149bo149bo149bo149bo149bo15$25b2o148b2o148b2o148b2o148b2o148b2o148b2o
148b2o148b2o148b2o148b2o$25bobo147bobo147bobo147bobo147bobo147bobo147b
obo147bobo147bobo147bobo147bobo$25bo149bo149bo149bo149bo149bo149bo149b
o149bo149bo149bo108$781b2o$630bo149bobo447b2o$329b2o298bobo148bo148b2o
148bo150bo$28b2o148bo150bo298bobo147bobo147bobo147bobo147bobo147b2o$27b
obo147bobo147bobo147b2o148bobo147bobo147bobo147bobo147bobo148bo$26bob
o147bobo147bobo147bobo147bobo147bobo147bobo147bobo147bobo147bobo144b2o
$23bo2b2o145bo2b2o145bo2b2o145bo2b2o145bo2b2o145bo2b2o145bo2b2o145bo2b
2o145bo2b2o145bo2b2o144bo2bo$23b3o147b3o147b3o147b3o147b3o147b3o147b3o
147b3o147b3o147b3o147b3o$26b2o148b2o148b2o148b2o148b2o148b2o148b2o148b
2o148b2o148b2o148b2o$23b2o2bo145b2o2bo145b2o2bo145b2o2bo145b2o2bo145b
2o2bo145b2o2bo145b2o2bo145b2o2bo145b2o2bo145b2o2bo$22bo2b2o145bo2b2o145b
o2b2o145bo2b2o145bo2b2o145bo2b2o145bo2b2o145bo2b2o145bo2b2o145bo2b2o145b
o2b2o$21bobo147bobo147bobo147bobo147bobo147bobo147bobo147bobo147bobo147b
obo147bobo$20bobo147bobo147bobo147bobo147bobo147bobo147bobo147bobo147b
obo147bobo147bobo$21bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149b
o3$15b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o$
15b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o14$28b
2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o$27b2o148b
2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o$29bo149bo149b
o149bo149bo149bo149bo149bo149bo149bo149bo111$46bo149bo149bo149bo149bo
149bo149bo149bo149bo149bo149bo$45bo149bo149bo149bo149bo149bo149bo149b
o149bo149bo149bo$45b3o147b3o147b3o147b3o147b3o147b3o147b3o147b3o147b3o
147b3o147b3o4$781b2o$630bo149bobo447b2o$329b2o298bobo148bo148b2o148bo
150bo$28b2o148bo150bo298bobo147bobo147bobo147bobo147bobo147b2o$27bobo
147bobo147bobo147b2o148bobo147bobo147bobo147bobo147bobo148bo$26bobo147b
obo147bobo147bobo147bobo147bobo147bobo147bobo147bobo147bobo144b2o$23b
o2b2o145bo2b2o145bo2b2o145bo2b2o145bo2b2o145bo2b2o145bo2b2o145bo2b2o145b
o2b2o145bo2b2o144bo2bo$23b3o147b3o147b3o147b3o147b3o147b3o147b3o147b3o
147b3o147b3o147b3o$26b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b
2o148b2o148b2o$23b2o2bo145b2o2bo145b2o2bo145b2o2bo145b2o2bo145b2o2bo145b
2o2bo145b2o2bo145b2o2bo145b2o2bo145b2o2bo$22bo2b2o145bo2b2o145bo2b2o145b
o2b2o145bo2b2o145bo2b2o145bo2b2o145bo2b2o145bo2b2o145bo2b2o145bo2b2o$
21bobo147bobo147bobo147bobo147bobo147bobo147bobo147bobo147bobo147bobo
147bobo$20bobo147bobo147bobo147bobo147bobo147bobo147bobo147bobo147bob
o147bobo147bobo$19bobo147bobo147bobo147bobo147bobo147bobo147bobo147bo
bo147bobo147bobo147bobo$19b2o148b2o148b2o148b2o148b2o148b2o148b2o148b
2o148b2o148b2o148b2o4$17b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o
148b2o148b2o148b2o$16bo2bo146bo2bo146bo2bo146bo2bo146bo2bo146bo2bo146b
o2bo146bo2bo146bo2bo146bo2bo146bo2bo$17b2o148b2o148b2o148b2o148b2o148b
2o148b2o148b2o148b2o148b2o148b2o!