Synthesis components

Wyirm · Post by **Wyirm** » November 7th, 2021, 12:42 pm

Howw am i supposed to get a beehive with tail from a bee hat or hat with eater head siamese beehive?

MathAndCode · Post by **MathAndCode** » November 7th, 2021, 7:00 pm

Wyirm wrote: ↑
November 7th, 2021, 12:42 pm
Howw am i supposed to get a beehive with tail from a bee hat or hat with eater head siamese beehive?

Whoops; I misread you.
The slow-salvo syringe synthesis includes a way of making a beehive with tail with only one glider at a time (besides making the initial target).

wwei47 · Post by **wwei47** » November 8th, 2021, 8:59 am

Persistent domino, if the 2G one doesn't work:

Code: Select all

x = 15, y = 8, rule = B3/S23
12bo$12bobo$bo10b2o$2bo$3o$9bobo$9b2o$10bo!

EDIT: Oops
Edit 2: 3G loaf inserter, could possibly replace the G+MWSS in some places

Code: Select all

x = 19, y = 8, rule = B3/S23
16bobo$16b2o$bo15bo$2bo$3o$10bobo$10b2o$11bo!

Edit 3: Another 3G persistent domino:

Code: Select all

x = 13, y = 7, rule = B3/S23
7bobo$bo5b2o$2bo5bo$3o$10bobo$10b2o$11bo!

Edit 4: V-spark:

Code: Select all

x = 14, y = 10, rule = B3/S23
11bobo$11b2o$12bo2$bo$2bo$3o$10bobo$10b2o$11bo!

Edit 5: This likely obsoletes the bookend peel component routine.

Code: Select all

x = 46, y = 28, rule = B3/S23
20bo$18bobo$19b2o$28bo$28bobo$28b2o3$41bo$40bo$40b3o$25bo$24bobo$24b2o
2$6bo14b2o$6bo13bo2bo3b2o$4b2ob2o11bobo2bo2bo$19b2obob4o$2bobo3bobo7b
o2b2o$2bo7bo4b2o2bo4b2o$2o9b2obo2b2ob4o2bo$2bo7bo4b2o2bo4b2o$2bobo3bo
bo7bo2b2o20b3o$19b2obob2o11b3o3bo$4b2ob2o11bobobo12bo6bo$6bo13bobo2bo
12bo$6bo14bo2b2o!

MathAndCode · Post by **MathAndCode** » November 9th, 2021, 12:23 am

Are these slow components known?

Code: Select all

x = 241, y = 220, rule = B3/S23
25bo$24bo$24b3o4$33bo$32bo$32b3o6$218bo$219bo$217b3o9$44bo$36bo5b2o184b
o$35bo7b2o182bobo$35b3o189bobo$228bo3b2o$210b2o19bo2bo$209bobo20b2o$209b
o$207bobo$205b3obobo$4b2o198bo5b2o$3bobo31b2o165b2o$b3obobo29bobo$o5b
2o29bo$2o13$29bo$28b2o$28bobo111$32bo$30b2o$31b2o4$39bo$38bo$38b3o6$224b
o$225bo$223b3o9$50bo$42bo5b2o184bo$41bo7b2o182bobo$41b3o189bobo$215b2o
17bo3b2o$214bo2bo19bo2bo$214bo2bo20b2o$215b2o$213bobo$211b3obobo$10b2o
198bo5b2o$9bobo31b2o165b2o$7b3obobo29bobo$6bo5b2o29bo$6b2o13$35bo$34b
2o$34bobo!

Edit: What about these?

Code: Select all

x = 510, y = 67, rule = B3/S23
10bo$11bo$9b3o242bo$255b2o$obo251b2o38bo$b2o35bo253b2o$bo36bobo252b2o
$38b2o233bo$274bo$267bo4b3o$265bobo$266b2o$39bo$39bobo$39b2o$299bo$299b
obo$299b2o5$489bo$490b2o$489b2o2$17bo487bobo$16bobo486b2o$16bobo487bo
$17bo259bo$276bobo$276bobo$277bo225bo$501b2o$502b2o2$490bo$38b3o246b2o
200bobo14b2o$38bo248b2o200bobo13b2o$39bo450bo16bo$23b2o273b3o$22bobo273b
o$24bo8bo265bo$32b2o$32bobo15b3o$50bo457b2o$51bo455b2o$509bo$19b2o$20b
2o478b3o$19bo480bo$501bo$2b2o$3b2o$2bo263b2o$265bobo$267bo8$40b2o$40b
obo$40bo!

Here is the entire set of spark_search results.

Code: Select all

x = 27694, y = 202, rule = B3/S23
13202bo$13200bobo$13201b2o$24016bo$6080bobo3126bobo73bobo7596bo7131bob
o$1928bo2466bo1685b2o3127b2o73b2o2402bo5195bo77bobo7050b2o$1438bo488bo
66bo2401b2o1683bo3121bobo4bo75bo2400bobo5193b3o78b2o7120bobo$476bo962b
2o322bobo161b3o65bo2399b2o4807b2o2482b2o5274bo6655bo465b2o$474bobo961b
2o324b2o227b3o1220bo953bobo1918bo2321bo790bo7683bo80bo6649bo385bo81bo
2714bo$475b2o4bo1282bo85bo242bo1120b2o955b2o1918bobo2317b2o8476b2o79bo
776bobo5869b3o384bo2793bobo650bo$481bobo2bo1356bo5bo244b2o793bo325b2o
68bo885bo225bo1693b2o2319b2o2381bo2403bobo964bo395bo1608bo716b2o78b3o
389bo387b2o325bo176bo3432bobo960bo1355b3o1362bo388bo1042b2o649bo$481b
2o3bobo1355bo4b3o231bo9b2o793bo79bobo77bo236bobo1110b2o4562bo867bo962b
obo655bo236bo70bo483bobo954b2o962bobo395bo962bo85bo557b2o626bo563b2o
385bo327b2o174bobo2557bo873b2o961bo883bo69bo406bobo1357bo388bo1692b3o
68bo$486b2o1050bo76bobo224b3o78bobo72bobo80bobo724bo79b3o77b2o78bobo
234b2o1110b2o1685bo2878bo77bo164b2o623b2o961b2o421bo232bo238b2o66bobo
484b2o153bo160bo639bo318bo645b2o392b3o964b2o75bo7bobo556b2o72bobo551bo
561b2o10bobo700b2o175b2o2556b2o874bo556bo397bo5b3o6bo548bo327bobo68b2o
404b2o1356b3o386b3o405bo1358b2o$1135bo387bo13bo70bobo4b2o307b2o4bobo
66b2o81b2o722b2o161bo78b2o717bo160bo718bo237bo561bo236bo9bo70bo316bobo
161bo239bo1989bo484b3o78bo162bobo622b2o414bo709bobo257bo150bo82b3o235b
2o68b2o86bo397bo155b2o159bo565bo392bo875bo1128b2o4bobo70bo6b2o80bobo
549b2o229bo319b3o85bo79b2o75bobo328b2o243bo466bobo949bo566bo321bobo
883b2o1107bo320bobo398bo11b2o547b2o328b2o68b2o7bo221bo6bo85bo83bo2154b
o149bo479bobo724b2o$1134bo389bo5bo6b3o69b2o5bo307bo5b2o67bo92b2o59bo
80bo572b2o641bobo315b2o86bo72bo715bobo235bobo559bobo237bo8bobo66bobo
317b2o160bo158bo80bo1592bobo396b2o162bo89bobo306b3o164bo80bobo231bobo
722bo154bobo319bo232b2o86bobo168b3o147bo478bo326bo226b2o158b3o566bo
389b3o876b2o332bobo468bo328b2o69b3o88b2o550bo231b2o405b2o77bobo76b2o
329bo232bo9bo137bo330b2o484bobo397bobo63b2o476bobo86b2o320b2o147bo
1288bo556b2o319b2o321bo74b3o12b2o69bo79bo82bo155bo153bo4b2o151bo253bo
223bo6b2o81bobo233bo409bobo1419bo170b3o84bo65b2o325bo152b2o484bo161bob
o$730bo403b3o385b3o4bo79bo321bo161b2o59b2o79bo77bobo85bobo962bo76bobo
4b2o315b2o85b2o71b3o716b2o236b2o465bo94b2o235b3o8b2o68b2o237bo229bo11b
3o74bo79bobo74bo5b3o1591b2o395b2o162bo90b2o555b2o233b2o475bo236bobo5b
3o155b2o238bo79bo233bo88b2o163bo154b3o476b3o74bo159bo89bobo298bo652b3o
474bo561bo230b2o171bo161b2o467b2o330bo161bo226b2o553b2o162bo242bobo79b
o76bo228bobo6bo326bo8b3o133bobo88bo153bo87bo75b2o408b2o148b2o248b2o63b
2o478b2o85b2o321bo149b2o738bo130bo4bobo168bo241b2o475bo77b2o644b2o159b
2o75b2o82bo154bobo79bo71bobo155bobo253b3o219b3o5b2o83b2o151bo82b2o407b
2o1421bo254b2o65b2o166bo78bo79bo153bo7bo478bo161b2o81bo$728b2o719bo79b
3o560bo60b2o78b3o78b2o86b2o963bo3bo72b2o5bo403b2o235bo76bo795bo83bobo
6bo214bo78bo157bobo338bo73bobo10bo62bobo7bo219bobo89bo7bobo69b2o74bobo
401bo319bo493bo157bobo221bo554bobo3b3o89bo159bo233bo155bo6bo228bo4bo6b
o234bo235b2o235b2o163bo237bobo79b3o320bo78bo83b2o234bobo83bo6bobo59bob
o89b3o134bobo91bo10bo148bo88b2o74bo225b2o248bobo6bo707bo9bo149bobo7bo
551bobo394bo6bo65bo98bo159bo301bobo4b2o86bobo160bo65bo99bo301bo2bo314b
o86bo75bo4bobo62bo166bobo477bo153b2o4b2o85bo239b3o145b2o89bo153b2o160b
o2bo408bo147bo2bo88bo159bo543bo558b2o88bo161bo78bobo393bobo10bo132b2o
3b2o169bo239b2o318bo7bo76bo70bobo323bo161bo159bo76b2o159b2o6bo70b2o81b
3o153b2o79bobo70b2o156b2o722b2o79b2o409bo159bo402bo58bo167bo629b3o255b
2o230bobo76bobo79b3o159b2o475b3o7bo153bo81bo$729b2o632bo76bo6b2o391bo
473bo87bo807bo77bo76b3o2bo73bo558bobo85bo75bobo162bo68b2o81bo87bo151bo
87bo5bo138bobo6b2o81b2o5b2o74bo71bo69b2o74b3o158b2o102bo75bo145bobo9b
2o75b2o8b2o64b2o5b2o221b2o87b3o7b2o146b2o403bo319bo392bo98bo158b2o142b
o470bobo162b2o11bo241b2o232bobo153bobo233bobo11bobo72bobo150bo7bo70bob
o160b2o236bo318bo84b2o159bo159bo162bo83b2o234b2o81b2o7b2o61b2o91bo60bo
74b2o89b3o9bo147b3o155bobo6bobo75bo146b2o8bo241b2o6bobo69bo558bobo6bo
68b2o7bobo148b2o5b2o387bo165b2o391bobo6b3o65b2o2bobo7bo241b2o303b2o11b
o80b2o159b2o67b2o97bobo300b2o316b2o85bo73b3o3b2o5b2o57bo166b2o94bobo
369bo11bo152bo6b2o85b2o76bo75bo321b3o152b2o162b2o243bobo72b2o163bobo
72b2o87b2o396bo475bo75bo170bo77bo153bobo159bobo78b2o395b2o10b3o129b2o
4bo103bo64b3o472bobo85bo4b2o77bobo69b2o321bobo159b2o158bobo245bobo381b
obo4b2o84bobo54bobo492bo315b2o7bo397bobo157bobo81b2o401b2o60b2o163bobo
403bo305bo6bo92bo310b2o77b2o240bobo327bo157bobo147bo85b3o$326bo639bobo
74bo317bobo77b2o5b2o151bobo166bo67bobo720bo643bo4bobo70bo3bo82b3o631b
2o85b3o74b2o4bo66bobo88bobo3bo63b2o75bo5b2o85bobo4bo138bobo4b2o85bobo
2bo140b2o5b2o83bo6b2o73bobo2bobo65b2o66b2o167bobo66bo102bo75bo72bo74b
2o10b2o74bo10b2o71b2o320bo77bo471b3o243bo73b3o233bo8bo150bo97b3o157bo
140bobo84bo73bo8bo149bo9bo79bo63b2o85bo7bo68bo10b2o149bo8bo84b2o232b2o
154b2o234b2o11b2o74b2o148bobo5b3o71b2o718b2o244b2o144bobo10bobo158b3o
232bobo84bo83b2o7bo61bo91bo62b2o72bo8bo93b3o304b2o6b2o74bobo79bobo75bo
81bobo156bo7b2o62bobo4bo74bo76bo321bo86b2o6bobo65b2o8b2o157b2o387bo
237bo240bo78b2o74b2o3b2o6b2o149bo93b2o225bo76bo10b2o82bo66bo7bo85b2o
65b2o98b2o138bo6bobo154bo74bo7bobo230b2o6b2o76b3o3bo70bo11b3o54b3o85bo
6bo169b2o311bo59b2o7b3o245b2o78b2o71bobo481bobo157bo154bo13bobo64bo8b
2o71bo2bo153bo9b2o73bo88b2o65bo12bobo135bo6bo172bo475b2o71bobo168b2o
76bobo70bo83b2o160b2o79bo317bo77bo246bobo2b2o469bo7bo63b2o83b3o5b2o76b
2o232bobo6bo152b2o75bobo82b2o158b2o245b2o228bobo152b2o90b2o56b2o169bo
80bobo238bo324bo229bo13bo146bo8b2o148bo9b2o82b2o65bo12bo74bo157bo89b2o
58b2o165b2o403bobo74bobo224bobo7b2o79bo8b2o142bo6bo725bo84b2o158b2o
149bo242bo$237bo89bo482bo156b2o72bobo81bo236b2o76b2o160b2o159bo5bo69b
2o157bo560bobo85bo227bo6bo71bo8bo71bo6bo79bo80bobo4b2o72bo2b3o163bo
311bo159bo78bo169bobo65b2o88b2o4bobo60bo78bo3b2o86b2o3b2o59bobo78b2o3b
2o86b2o3b3o59bo78bo173b2o3b2o60bo4b2o237b2o160bo8b3o73b3o71bo73bo400bo
170bobo60bo91bobo157bobo398b2o311b2o6bobo146b3o334bo64b2o82bobo71bobo
6bobo6bo143b2o5bobo6bo63bo8bobo61bo84bobo8bo79b2o149b2o7bo156bo641bo4b
o67bobo75b2o79bo89bo628b2o161bo82b2o75bo70b2o10b2o238bo64bo91b2o13bobo
377b2o81bo87bo239bo73bo84b2o80b2o73b3o82b2o70bo158b2o4b3o70bobo77b2o
241b2o77b2o84bo7b2o383bo84bobo151b3o6bo231b2o154bo81bobo160bo7b2o149b
2o158b2o84bo11bobo57bobo88b2o149b2o6b2o388bobo7b2o6bo223b2o6b2o6bo63b
2o167b2o81bobo81bo141bobo7b2o168bo310bo59b2o335b2o73b2o92bo60bo175bo
152b2o313b2o4bo6b2o63bobo8bo73b3o154b2o7bo228bobo5bo6b2o134bobo5bo171b
3o72bo75b2o152bobo169b2o73b2o66bo102b2o69bobo4b2o71bo254bo61bo13bo139b
o170bobo233bo90b2o4b2o72bo151bobo87bobo71bobo78b2o4bo64bo405b2o6bobo
228b2o168bo306bo244b2o79bo72bo92bo56bo168bobo81b2o238b3o168bo153b3o83b
o67bo76b2o4bo6bobo142bobo8bo150b2o7bo148bobo5bo6bobo70b2o157bo229bobo
158bo331b2o76b2o150bobo72b2o6b2o81bo8b2o73bo68bo5bobo78bo245bo233bo
164bobo72bo10b2o217bo88b3o90bo152bo$85bobo83bo66bo86b3o81bobo241bobo
153bo157bo74b2o79bobo75bo400bo161bo4b3o226b2o472bo87b2o86b2o77bo145bob
o6bobo70b2o4b2o73bo4bo78bobo81b2o76b3o166b2o72bo4bo232bobo157bobo248b
2o66bo95b2o138b3o97b2o59b2o78bo160bo91bo71bobo91bo58bobo243bo159bobo
156b3o79bo85bobo71bo167bo66bobo83bobo72bo9b2o59bobo92b2o157b2o400b2o
87bo140bo6bo73b2o7b2o482b2o150b2o72b2o7b2o4b2o143b2o7b2o4b2o65b2o6b2o
148b2o6b3o157bo71b2o6b3o157bo72bo83bo311bo176bobo66b2o244b2o72bo475bo
95bo148bo157bo71bo252bo64b2o89bo14b2o148bo312b3o86b2o156bobo79bo239bo
159bo69bobo158bo79b2o76b2o241bobo76b2o237bo86bo72bo81b2o78bo4b2o75b2o
83bobo228b2o9bo5bobo135bobo82b2o318b2o158bo2bo84bo4bo5b2o59b2o9bo5bobo
220b2o6b2o390b2o7bo5b2o223b2o7bo5b2o63bo2bo84bobo78bo83b2o225b2o6b2o
77bo402b3o224bobo336bobo59b2o173bobo150bo78b2o161bobo69b2o6b2o5bo64b2o
82b2o74bobo77b2o238b2o6b2o5bo135b2o5b3o238bo3bobo74bo2bo152b2o313b2o
172b2o75b3o253bo63b2o9b2o82bo58b2o77bobo6bo82b2o231b2o92bo78bobo150b2o
87b2o73b2o77b2o5b3o71bo396bo7b2o229bo167b2o152bo155b2o75bo88bo77bo81bo
80bo310b2o12bobo66bo8bo400bo239bo69bo74b2o6b2o4b2o144b2o80bo77b2o158b
2o6b2o4b2o72b2o156b3o227b2o93b2o65b2o97bo62bo161bo84bo8bobo75bo65b2o
161b3o81bobo8bo57b3o5b2o77bobo83bo79bo80bo228bo6b2o72bo89b2o71bobo69bo
bo6bo82bo68b2o177b2o151b3o$10bobo73b2o81b2o65b3o5bo165b2o227bobo11b2o
142bo11b3o312b2o6bo66bobo470bo89b3o232bobo470bobo174b2o76bobo67bobo2bo
bo71b2o6b2o70b2o6b2o70b3o4b3o77b2o242bo86b2o66bo3bo5bobo73bo157b2o6bo
78bo72b2o6bo392bo165bo73bo73bo91bo73bo72b3o89b2o73b2o78bo72b2o11bo65bo
74bo159bo91b2o239b2o83b2o73b2o152bobo8b2o67b2o85b2o70bobo71b2o92bo76bo
bo80bo77bo81bo72bo84bo6bobo153bo6b2o142bo3b2o7bo82bo56bobo91bo74bo8bo
242b2o68bo170b2o158b2o63b2o316bo8bobo235b3o73bo80bobo309bobo168bo7b2o
67bo246b2o72bo239b2o164bobo64bobo93b2o147b3o157b3o156bobo78bobo7bobo
70b3o63b2o106bo77bobo69bo399b2o71bobo84b2o77b3o6bo463b2o4bo77bobo85bo
154bo7bo53bo173bo251bo61bobo87b2o71b2o4bo73b2o3bobo74bo3bo75bo2bo82b2o
3bo151b3o83b2o3b2o137b2o92bobo317bobo147bo2bo82b3o4bobo4bo71b2o3b2o
550bobo84b2o238b2o62bo2bo79bo4b2o478bo152bobo312b2o160b2o239bo96b2o59b
2o5bo66b3o99b2o231b2o161b2o76b2o160b2o70b2o8bo315b2o235bo80bobo72bo3b
2o74bo2bo83bo68bo87bo225b2o94bo78bo11bo308bo11b3o60b2o11b2o74bo5bo58b
2o79b2o7bo91bo223b2o170b2o151bo83bo5bo73bo153bobo2bo240bo71bo4bobo148b
o90bo245b2o152bo153b2o74b2o87b2o158b3o6bo72bo325b2o76bobo148bo156b2o
91b3o237b3o65b3o81b2o88bo142bobo8bo235b2o468bo94b2o63b2o5bo91bo61bobo
6bo77bobo75b2o91b2o74b2o66bo247b2o6b2o146b2o81bobo77bobo80b3o224bobo5b
2o71bobo6bo156b2o70b2o7bo82b2o65b2o179b2o69bo$10b2o74bo4bobo69bo6b2o
70bobo88bo76bo229b2o12bo143bo88bo71bo172bobo65b2o5bo65bo12bo383bobo
481bo316b2o247bo5b2o68b2o2b2o561bobo155bo2b3o3b2o72bobo73bo91bobo76bob
o78bobo70bo317bobo163b2o72bobo163b2o72bobo165b2o72bo77bobo83b2o67b2o
73bo159bo330b2o85bo72b2o154b2o9b2o153bo72b2o242b2o157bobo82bo69bobo5bo
bo69bobo5bo5b2o61bo90bobo7b2o60bobo4bo71b3o4b2o4b2o83bobo55b2o6bobo5bo
77bo74bo5b2o155bo158b2o712b2o6b2o242bobo65b3o81b2o238bobo69b2o166bobo
395b3o82bo79bo75bobo165b2o65b2o10bo83b2o226b3o237b2o79b2o7b2o323b2o68b
3o473b2o84bo85b2o155bo312bobo78b2o84bo156b2o4bo52bobo96bo238bo88bo63b
2o86b2o71b2o3bobo79b2o72b3o80b2o88bobo66bo84bo82b2o5bo232b2o224bobo7bo
83b2o148bobo89b2o76b2o5bo147bobo393bo6b2o232b2o156bobo80b2o3bo159bo
316b3o86bo66b2o311bobo93bobo64bo167bo70bobo165bo67bo91bo83bobo153bo
163bo7bo230bo2bo69bo7b2o392bo7bobo151b2o79b2o70b3o80bobo81bobo154bobo
149bo83bobo86bo88bo221bo88b2o161bobo3b3o65bo71bo6b3o90bo145b2o162bo78b
o81bobo158bobo234b2o2b3o156bo75bobo2bo70bobo4b2o150b2o86bobo238bo80bo
77b3o223bo6b2o82bo4b2o164b2o73b3o232bo82bo8bo76b2o150bo69bo84bobo83bob
o237bobo79bobo164b2o143b2o6b2o376bo176bobo7bo236bo73bo90b3o60b2o4bobo
78b2o8bo65b2o93bo68bo6b2o322b2o229b2o78b2o308b2o79b2o4bobo76bo151bo6b
3o81b2o75bo234bo5bobo88bo$11bo79b2o71b2o77b2o86b2o69bobo235bo5bobo147b
3o3bo85bo68bobo5bo81bo84b2o74b2o64b2o10bobo382b2o5bobo474bo77bobo79bo
244b2o159bo74bo4bo562b2o153b3o83b2o68bo2bobo91b2o70bo6b2o79b2o69bobo
83bobo232b2o164b2o72b2o164b2o72b2o318b2o84b2o65b2o72b3o85bo71b3o98bo
547bo400bo82bo149bo8b2o80b3o70b2o5b2o71b2o3b3o6bo62b2o6bo82b2o70b2o2bo
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83b2o72bobo310bo5b2o61bo176b2o73bo404bobo77bobo77bo68bobo94bo76bobo
160bobo75bo74bo237bo80bo9bo324bo544bo172b2o147bobo4bobo311b2o78bo85b3o
73bo79b2o5b3o51b2o97b2o154bobo80b2o86b3o228b2o79bo5bo151bo88b2o65bobo
83bo323bo226b2o5b2o84bo469bo4b2o161bo233b2o5bo232b2o6b2o230b2o165b2o
322bo78b2o67bo242bo71bo93b2o234b2o69b2o163b3o66bo93b2o82b2o239b2o82b2o
220b2o9bo2bo78b2o159b2o68bo162b2o5b2o151b2o80bo239b2o155b2o150bo83b2o
84b3o88b3o143bo73bobo87b2o162b2o70bobo158bobo10b3o143b3o162b2o77b2o79b
2o160b2o164bo69bo163bo4bobo68b2o2b3o69b2o5bo86bo62b2o88b2o231bobo4bobo
79b2o299bobo88bobo171b2o308b2o78bobo235b3o67bobo86bo84b2o238b2o79b2o4b
o145bo2bo10b2o153b2o150bo222bobo4bo7bobo162b2o7bobo306b3o160b2o78bo7b
2o152bo78b2o716bo75bobo242b2o77b2o84bo230bobo232bobo6b2o86b2o$2bo89bo
70b2o167b2o69b2o165bo75b2o153bo84b3o69b2o5b2o79bo160b2o64b2o5bo5b2o
391b2o472b3o78b2o77bobo84bo153bo4bobo157b3o878bo72bobo3b2o4bo156bobo
159b2o4bo78b2o552bo795b2o171bobo549bo394bobo77bo79bo75b2o169bo3bobo65b
o75b2o7bobo152bo4b2o236bo6b2o241bo64b2o5b3o237b2o799bo85bo72b2o309bobo
5bo63b2o250bo247bo156b2o78b2o147b2o172b2o76bo84b2o73b2o74bo73bobo720bo
161b3o242bo318b2o4b2o552bobo144bobo91b2o156b2o79b2o405bobo153b2o143bob
o5b2o634bo7b2o554b2o3bo159b2o233b2o246bo2bo395b2o323bobo77b2o307bobo
157bo8bo233b2o397b2o83bo239bo2bo82b2o150b2o67b2o10b2o157b2o80bo2bo68b
2o159b2o7bo547b2o159bobo69b3o83bo323b2o72b2o244bo79b2o159b2o155bo2bo
161b2o77b2o75bo5bo243bo81bo232b3o4b2o69bo168bo73bo313b2o4b2o79b2o301b
2o89b2o80bo313bo85b2o80b2o241bo64b2o8bo162bo239bo81bo3bo148b2obo81b3o
157b3o72bo164bo6bo50b2o2bobo7b2o163bo8b2o62bo5bobo325bo162b2o149bobo
77b2o483bobo232b2o69bo4b2o315bo4b2o83b2o232b2o233b2o95b2o$obo84bo82bo
155bo76bo166bobo74bo72bo80b3o73bobo84bobo75bo3b3o229b2o399bo554bo79b2o
82bobo154b2o4bo554bo8bo472bobo73b2o9bobo155b2o165bobo69bobo5bo147bo
404b2o793bobo171b2o144b3o404b2o393b2o75b2o78b2o75b2o174b2o151b2o646b3o
62bo247b2o146bobo4bo232b2o93bo239bo68bobo5b3o157bo310b2o68b2o249b3o88b
o72b2o83bo165bo67bo11bo140bo249bobo84bo75b2o148b2o6bo714b2o161bo243b2o
316bo560b2o145b2o249bo487b2o153bo2bo143b2o801bo402b2o87bo68bobo6b2o
385bobo3bo88bo2bo541b2o93bo83b2o71bobo314b2o158bo798b2o165bo2bo235b2o
238b2o68b2o9bo2bo67b2o6bobo400b2o228bo78b2o159b2o478b2o320bo239bo157bo
2bo314bobo81bobo165bobo79b3o238bo238b3o65bobo2bo243bo70bo563bo310bobo
411b2o70b2o489b3o146b2obo83bo159bo70b3o5bobo154bobo4b2o56b2o8bo73bo6bo
153bobo5b2o71bo6bo247bobo154bo157b2o84bo145b2o319bo10b2o79bo79bo72b2o
71bo3bo317b2o88b2o557bo$b2o5bo76bobo81bo157b2o230bo5bo4b2o149b2o155b2o
163bo235b2o87bo1030b2o70bobo4bobo73b2o87bobo2bobo466b2o4b2o474b2o4bo
79b2o323b2o71b2o151bobo403bobo237b3o875bo403b2o472b2o78b2o251bo784bo6b
o152bo5bobo158bo149b2o5bo230bobo93b2o238b2o68b2o556b2o330b2o70bobo83b
3o161b2o69bo8b2o136bo9bo86b2o157b2o310bo6bo389bo324b2o161bo243b2o1025b
o893bo2bo143bo803b2o4bobo482b2o68b2o394b2o4b2o87b2o541bobo93b2o156b2o
472b3o716bobo80b2o152b2o11b2o235bo239bo70b2o10b2o76b2o400bobo229b2o75b
o161bo161bo242b2o393b3o397bobo316b2o82b2o159bo5b2o629b2o2b3o156b3o73bo
bo6bobo630b3o311b2o410b2o72b2o639bo83bo159bo79b2o156b2o5b2o140b2o3bo
155b2o6bo69bobo4b2o238bobo7b2o156bo241bo63b3o79bobo320bo10bo79b2o78b2o
142b3o170b2o148b2o649b2o$8bobo75b2o81b3o66b3o85b2o80bo148bobo3bobo154b
2o5bo150bo162b3o322b2o1104b2o4b2o164b2o2b2o76b2o388b2o6b2o479bobo475bo
153b2o4bo640bo874bo1038b3o956bo3b2o151bobo5b2o309bo4b3o232bo92bobo237b
obo68bo558b2o328bobo72bo77bobo157bo10b2o66b3o9b2o136bo8bobo83bobo476b
3o385bobo810b2o321b2o74bo83b2o948b2o396b2o10b2o388bo4bobo68b3o92b2o
318b2o66b2o5b2o482bobo68bo395bo4b2o633bo92bobo156bo950b2o241b2o79bo
154b2o650bo308bo5bo87bo228b2o398b2o242bobo78bo391bo79b2o556bo87bo161b
2o634bo164bo74b2o6b2o157b2o2238bo304b2o4b3o232b2o5b2o154b2o82b2o163b3o
241b3o63bo81bo318b3o89bobo77bobo314bobo308b2o158bo329b2o$8b2o230bo167b
2o148b2o4b2o159b2o634bo5b2o864bo79b2o157bo6bo164bo4bo75bobo877b2o636bo
bo637bo389b2o1359bo77bo87bo954b3o4b2o151b2o6bo1199b2o239b2o69bo484b2o
158b2o224b3o8b2o86bo239b2o396b2o226b2o809bobo320bobo74b2o81bobo70b2o
877b2o327b2o66b2o161b3o234bobo5b2o70bo93b2o318b2o73bo1186b2o1134bo232b
o70b3o162bobo241bo1194bobo5b2o225b2o253b3o233b2o243bo78b2o69bo320b2o
79b2o247b2o304bobo248b2o721bo77bo75bo165bobo2946bobo82bo78bo394bo892bo
71bo237b2o157b2o241bo$239bo167bobo316b2o156b3o318b2o155b2o788b3o78b2o
77bobo412bo1515b2o1029b2o1359bo77bo85bo1202b3o1119b2o237bobo554bo81bo
76b2o401b2o160bobo395bobo556b3o480bo322bo73bobo83bo71b2o483b3o389bo
161b3o164bobo231bo235b2o5bo70bo93bo319bo150b2o1110b2o6b2o721b2o403bobo
230b2o71bo164bo246b2o1189b2o4bobo225b2o7b2o246bo556bobo67bobo319bobo
78bo248bo2bo304b2o971b2o320bo76b2o797b2o2071bo161b2o1358b2o235bo158bob
o241b2o$886bo319b2o153b2o315bo475bo77bobo79bo2958bo73b3o157b3o1123b3o
75b3o171bo396b2o321bo398bo1118bo241bo636b2o479b2o161bo397bo558bo1034bo
245b2o240bo155b2o396bo166bo230bo869b2o7bo2bo1116bo2bo721b2o402b2o230bo
bo70bo413b2o1350b2o78bo2bo244bo149b2o477b2o649bo2bo1276bobo398b2o795bo
bo319b2o1911bobo1357bobo637bobo$885bo319bo472b2o473bo244b2o2949bo159bo
1054b2o319b2o396b2o320b2o396bo1997bobo478bo792b2o325bo1282b2o238bo155b
obo395bo1268b2o7bo2bo1116bo2bo720bo1122bo1351bobo78bo2bo322b2o69bobo
1129b2o1677bo397b2o312bo87bo318bobo$1677bobo717bobo2948bo159bo1054bobo
318bobo395bo321bobo633bo1438bo1596b2o1606bo398bo1674b2o880bo237b2o
3198bo79b2o324b2o70bo3207b2o311b2o407bo$2399bo4165bo1674b2o1437b2o
1594bo725b3o1027b2o1288b2o1517b2o3599bo241bo1595b3o1681bo312bobo3438b
2o$8239bobo1436bobo2322bo1026bobo1289b2o1515bobo3599b2o1838bo5436b2o$
12002bo1029bo1288bo5118bobo794b3o1040bo5436bo$20239bo$20238bo40$23205b
3o$23205b3o2$488b3o3917b3o13351b2o5441bobo$487bo3bo1352bo2562bo3bo
8786b3o5b2o4554b3o$487bo3bo1351bo3bo2559bo3bo4870b3o3912bo3bo3bo2bo
4553b2o5433b2o2b2o7b2o2b2o$485b2ob3ob2o1348bo5bo2556b2ob3ob2o8782bobo
6bobo4554bo5433bobo3bobo3bobo3bobo$484bobo5bobo1348bo2bo2557bobo5bobo
4865bo5bo3908b2o5bo3bo1352b3o3199bo5434bo6bo5bo6bo$475b3o6bo9bo1116b2o
229bo2bo80b2o166b2o2308bo9bo4865bo5bo3908b3ob2ob2o3680bo78b3o794b2o2bo
714b2o4715bo3bo5bo5bo3bo389bo2bo$475b3o6b2obo4b3o1115b2obo229bo78b4o2b
o2475b2obo4b3o4865bo5bo2398b3o1507b2obobo3682b3o76b2obo795bo2b2o712b3o
4716bob3o9b3obo389bo3bo$474b2o3bo6b2o477bo560b3o80bo3bo229bo79b6o164bo
2312b2o7276bo2bo1511bo2b2o3677b2o2bo75b2o803bo713b2obo4714bo2b2o7b2o2b
o387b4o4bo3194bobo$473bobob3o484b3o558bo3bo80bob2o310bo4bo7352b3o239b
2o2157bo3bo1512bobo966bo2711bo2b3o2b2o69b2o4bo2b2o791bo483b3o231bo2bo
4716bo2b2o3b2o2bo389b3o5bo399bo2792b2obobo$473bobo2bo485bobo558bo3bo
80bo2bo310bobob2o79bo84bo4bo7423bo2bo2156bo1513b2obobo965bobo1357bo
719bo632bob2o4bobo70b2o2bobo2bo791bo482b3o232bobo3439b2o1275b2o3bobo3b
2o388bo7b2o3b2o226bo166bobo$473b3o12b2o2b2o1031bo3bo81bobo311b2o2bo79b
o83bobo3bo1346b2o960b2o2b2o1675b3o2315bo871bo242b2ob2o4b2o2150bo3bo9bo
1499b4o968b2o1356bobo78bo558bo79bobo635bo3b3o70b3o4bobo143bo1128bo3b2o
230b3o3204bobo232bobo322bo952b2o2bo3bo2b2o389bo10bo229b2o165b2o2786b3o
8bo$492b2o2bo229bo716b3o80b3o81b2ob2o311b3o71b2o6bo85bo2bo1347bo2bo
963b2o2bo3989b2o870bobo244b2o4bobo75bo1191bo882bo2bo2476b3o397b2o961bo
bo77bobo556b2o79bobo632bo87bo143bob5o640bo2bo2bo228b3o245b3obobo228b3o
3204bo2bo231bo2bo321b3o953b2o5b2o391bo237bob3o2953bo3bo2b2obo$492b2obo
b2o226b3o239b2o641b3o386bo2bo5b3ob3o1430bo2bo963b2obob2o1668bo5bo2311b
obo870bobo8b2o242bo74bobo1189bobo882b3o5b2o2471bo1361bo78bobo309b3o
243bobo80bo552b3o78bo3bo75b2o150bo4b2o629bob2o5bo2b3obo229bo162b3o83bo
2bobo227bo2bo237b3o2960b3o236bo323b5o1353b3o4bo227b3o2b2o1521b3o1431bo
bo3bo$490bob2obobobo228bo316bo388b3o97bo387bo75bo4b2obo4b2obo1353b3o
75b2o962bob2obobobo1667bo5bo2310b2o235b3o635bo8bo2bo240bo74bo3bo1188bo
bo648b2o238bo7bo2465b2o474b3o557b3o404bo555b2o161bo555bo2bo10b2o64bob
3o9b2o133b3o3bo487b3o140b2o3bo2bobo2bo232b2obob2o246b3o226bo2479b2o
722bob3obo556bo5bo1358bobo226bo2bo564b2obo956b2o2b3o1425bo3bo484bo$
490bo3b2o3bo544b3o386bo92bo6bobo386bo76b2o2bo2b2o6bo147b2o79bo1125bo
799b2o239bo3b2o3bo1667bo5bo2309b2o2b2o880bobo238bo75b2obob2o1188bo652b
o236bo6b2o2464bo1358bo8b2o365bo2bo14bo5bo239b2o2b2o74bo8b2o72bobo471bo
3bo79bo2bo8bo2bo65bo2bo7bo2bo131bo5bo630bo3bobo2bobob2o232bo2bo3bo76b
2o58bo2bo14bo5bo313bo3bo2b2o213bo2bo14bo5bo1203bo1029b2o722bo3b2o235b
2o319b2o5b2o1357bobo226b2obo562bo3b3o955b2o2bobo1424bo3bo5bo478bobo$
494b2o3bo224bobo316b2o2bo386bo90b3o4b2ob2o230b3o152bo80bo2b2o3bob3o
148bo79bo78b2o233b3o248bo561bo149b3o155bo488b2obo242b2o3bo1660b2o1998b
o88bo159bo73b2o2b2o66bo93bo239bo480bo237bob2o74b2obo2bo1838bo239bo2bob
3o2550bo145bo93bo319bo125b2o19b3o170bo239bo152bobo6bo2bo68b2o8bo155bo
128b2o2bob2o11bo4bobo84bo45b2o19b3o84b2o2b2o73bobo6bo2bo71bobo146bo93b
o230bo3bo81b3o8b2o66bo2bo8b2o132bo4bo631b2ob4o9b3o227bob3o3bo76b2o13bo
43b2o2bob2o11bo4bobo164bo79bo67b5ob2o164bo48b2o2bob2o11bo4bobo164bo
145bo299b2o19b3o567b2o404bo624bob4o238bo480bo9bo2bo546b2o7b2o399b2o
475bo480bo227bo8bo481bo74bo3bobo78bo159bo159bo559b3o943bo480bo4bo3b2o
479bobo163bobo$479b3o13bo2bo226b2o316bo480bo7bo3bo460bo4b2o4b2ob2o2bo
66b2o3b2o73b2o79bo314bo250bo239bo318bo151bo3bo153b3o487b2o2bo242bo2bo
229b3o797b3o235bo393b2o7b2obo1986b2o2b3o83bo159bo73b2o2b3o64bobo10bo
81bo239bo718bobo75b5ob2o1182b2o653bo240bo3b2o58bo410b3o858b3o95b2o
1121bo144bobo10bo81bo75b2o242bo124bo2bo18bobo170bo239bo152b2o8b2o68bo
2bo6bobo154bo127bo4bob2o11bo3bo3bo83bo44bo2bo18bobo84b2o2b3o72b2o8b2o
73bo146bobo10bo81bo228bo7bo76bo2b2o78bobo146bo157b3o473bob2ob2ob4o6bo
225b2o6b2o90bobo41bo4bob2o11bo3bo3bo163bo79bo71b3o165bo47bo4bob2o11bo
3bo3bo163bo144bobo10bo286bo2bo18bobo566b4o402b3o618b2o5bo2b2o236bobo
164b2o83b3o236bo551bobo3bobo400b2o72b2o320b3o77bobo397b2o308bobo5b2o
82b2o397bo74bo3b2o79bo159bo159bo559b3o395b2o545bobo10bo469bo6b2o481bo
162b2ob2o68b2o$478b3o10b2o2b3o230b2o313b3o388bobo87bob2o153bo316bo7b3o
4bo67bobo3bobo466b2o2b2o326bobo77b3o77bobo316bo151bo4bo153b2obo481bobo
2bo2bo229bo9b2o2b3o230bobo797bobo225bo9bo393b2o8b4o1906b2o76b3o2b2o
320bobo65bo2bo10b3o1039bo79b5o632b3o546bo2bo653bobo237bob2o59bobo408bo
3bo76b2o321bo554bo2bo75bo6bo1181bo2bo10b3o154bo2bo366bo2bo19b2o84bo
559b2o8b2o289b2o7b2o7bobo129bo2bo19b2o86bobo159bo80b2o63bo2bo10b3o306b
2o4bo4b2o74bo78b3o147b3o157bobob2o477bo3bobo11b3o218bo5b2o91bobo48b2o
7b2o7bobo322bo216b2o7b2o7bobo308bo2bo10b3o284bo2bo19b2o565b2o404bo2b2o
475bo140b2ob2obo3b2o237bobo164b2o83bobob2o227b2o8bo547b3o3b2o474b3o
158bo160bo3bo76bobo396bo2bo306b2o6b3o81b2o313bo152bo7bo3b2o958bo397b2o
544bo2bo10b3o467b2o5b2o481bo163bo3bo69bo$477b2ob2o9bobo549b2ob2o476b3o
5bo2bo144b4o160b3o80bo3bo66b2o6b3obo2b3o65bo5bo468b2o2b2o233bo11bobobo
75bobobo63bo11bob2o76bo2bo235b2o80bo2bo147b2ob2obo154b3o89b2o74b3o317b
o231bobo8bobo233bo799bo227b2o9bo318b2o86bo1514bo390bo2bo76b2ob2obobo
78b2obobo154b2obobo77bo64b2o9bobo2bo75b2obobo74b2o74b2o82b2obobo304b2o
93b2o67bobo150b3o176b2o152bo480bo471bo76b2o327b2o79b2obo237b2o3bo77b3o
160bo61b2o13bo395b2ob2o77bo160b2o158b3o154bo299bo5bo93b2o76b5o3bo153b
2o237b2o314bo248b2o74b2obobo142b2o9bobo2bo75b2obobo73b3o78b2o74b2o82b
2obobo122b5o16bo170b2obobo74b2o74b2o82b2obobo394b2obobo125b2o4bo9b2o8b
o82b2obobo42b5o16bo93bo155bobo80b2o64b2o9bobo2bo75b2obobo224bo4bobo4bo
74bo6bo381bo3bobo471b2o4bo3bo12bo2bo223bo93bo42b2o4bo9b2o8bo162b2obobo
74b2obobo73b4o73b2o82b2obobo45b2o4bo9b2o8bo162b2obobo70b2o70b2o9bobo2b
o155bo127b5o16bo567b3o2b2o404bo473b2obo140b2o2bo2b2o240bo5b2o242bo2bob
2o226b2obo3b2o476bo73b3o479bo159b2o160b2ob2o77bo394b5obo399bo312bobo
80b2obobo65bo7bo4bo75b2obobo70b2o82b2obobo154b2obobo556bo945b2o9bobo2b
o308bo157b2obobob2o479bobo167bo67b2o$327b3o143bo3bob2o2bo8bobo149bo
401bob2o384bo7b2o236bo165bo80bo4bo71bo2bo73bobo4bo70bo396b3o168b3o65bo
11b5o62b3o10bo67bo11b2o65b3o9b4o235bo2bo230b2o8bo150b3o89b2o73b2o3bo
308bo4b2o2b2o228bo2bo8bobo231b2obo5b2o789b2obo5b2o218bobo325b2o2bo75b
2o8b2o311b2o479bo319bo156b2o241b3o390b2o75bob2ob2ob2o79b6o154b6o77b2o
78b2o75b6o73bo2bo72bo2bo81b6o302b2o2bo92b2o66bo3bo155bo168bo157b4o78bo
398bobo2bo465b3o6bo397b2o79b2o2bo236b2o84bo153bobo79bo475bo2bo159bo2bo
156b2ob2o152bobo298bo5bo180bo150b5o80b2o70bo81b2o2bo309b2o2bob3o241bob
2obo73b6o157b2o75b6o73b2o78bo2bo72bo2bo81b6o125b2ob2o12b3o84bo3b2o79b
6o73bo2bo72bo2bo81b6o394b6o127b2ob2o102b6o45b2ob2o12b3o92b2o153b2ob2o
160b2o75b6o73b2o149bo3bo3bo3bo79bo2bo77bo302bobo3bo331b2o148bo5bo3bob
3ob2o68b2o147bo2b2o139b2ob2o182b6o74b6o73bo3bo71bo2bo81b6o47b2ob2o182b
6o69bo2bo84b2o155bo130b2ob2o12b3o171bo2bo298b2o92b2o2b2o79bobo76b3o79b
3o159b3o473b2o143bo4b2o166b2o78b4o161b2o76b2ob2o2b2o153b2o70b2obobo
479b3o69b2o249bo158bo74b3o66b2o87b2o2bo314b2o322bo2bo74bo637b2ob2o79b
6o65bo11b2o75b6o69bo2bo81b6o154b6o202bo351bob2o792b2o165b2o307b3o6bo
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76bo2bo74bo81bo2bo77b2o66bo8bo84bo75bo83bo76bobo77bobo77bo80bo2bo75b3o
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76bo2bo77bobo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76b3o77bo2bo76bo2bo76b
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150bo4bo2bo79b2o77b3o77bo2bo76bo2bo77bo78bo79bo2bo76bobo77bo2bo71b2o2b
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o77bo2bo76bo2bo75bob2o77bo2bo72bo2bo2bo71b2o4bo2bo67bo8bo2bo76bo2bo76b
o2bo76bo2bo76bo2bo76bo2bo77bobo$7b3o78b2o77b3o77b3o78b2o78b2o79bo74b2o
3bo77b3o78b2o78b2o77b3o78b2o77b3o77b3o77bobo77b3o78b2o78b2o79bo77b3o
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77b3o77b3o78b2o77b3o77b3o77b3o78b2o77b3o78b2o61bo5b2o10bo77b3o61bo5b2o
10bo78b2o77b3o77b3o77b3o77b3o78b2o78b2o77b3o74bobob2o77bobo78b2o74bobo
b2o78b2o61bo5b2o10bo61bo5b2o10bo77b3o77b3o77b3o79bo77b3o77b3o79bo69bo
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bo3bo79bo77b3o78b2o77b3o78b2o78b2o78b2o77b3o55b2o20b3o77b3o78b2o77b3o
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77b3o77b3o77b3o77b3o77b3o73b2o4bo77bobo72bo4b3o77b3o77b3o77b3o78b2o77b
3o78b2o$1678b2ob2o791bo2b2o164bo473bo2236bo2b2o155bo2b2o1115bo2b2o75bo
2b2o800b2o236b3o2b2o2bo150b2o88bo226b2o2bo3bo4bo232bo563b2o316bo2bo
307bo162bo82b2o81b2o78b2o154b2o62b3o902bo1808b3o1055bo2b2o321bo547b2o
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316bob2o477bo395bo2b2o486b3o154bo4bo56bobobo1138bo697b2o487bo479bo2b2o
622bobo13b2o550b2o63b3o7bo4bo3b3o2bo159b3o239b2o878bo717b3o4b2o$1680bo
791b2o169bo473bo2234b2o158b2o1118b2o78b2o805b2o241b2obo469b4obo641bo
479bo2bo316b2o151bobo81b2o81b2o77b2o218b5o2714bo1051b2o808bo65b2o4bo4b
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637bobo798b2o150b2o3bo460b2o3b2o2b2o2bobo4565bobo73bo483bobo393b2obo2b
o233bo1200bo1522bobo553bo1280bobo304bo7bo2320bo5b2o1439bobo303b2o7b2o
2160bobo$9b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o
78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o
78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o
78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o
78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o
78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o
78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o
78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o
78b2o70bobo5b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o62b2o14b2o
78b2o64bo3b2o8b2o78b2o78b2o78b2o78b2o78b2o48b3o3b3ob3o17b2o78b2o78b2o
78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o
78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o
78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o
78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o70bobo5b2o
64b2o12b2o78b2o78b2o78b2o78b2o78b2o70bobo5b2o78b2o78b2o78b2o78b2o78b2o
78b2o78b2o64b2o12b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o
78b2o78b2o78b2o78b2o67b3o8b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o
78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o70bobo5b2o78b2o78b2o
78b2o78b2o78b2o78b2o64b2o12b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o
78b2o78b2o78b2o78b2o78b2o78b2o78b2o68bo9b2o78b2o78b2o78b2o61bobo14b2o
78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o
78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o
68bo2bo6b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b
2o78b2o78b2o78b2o78b2o78b2o70bobo5b2o78b2o78b2o78b2o78b2o78b2o78b2o78b
2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b
2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o68bo9b2o78b2o78b2o78b2o
78b2o78b2o78b2o$8bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2b
o76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2b
o76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2b
o76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2b
o76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2b
o76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2b
o76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2b
o76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2b
o76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2b
o76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2b
o76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2b
o76bo2bo76bo2bo76bo2bo70bo5bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76b
o2bo76bo2bo76bo2bo76bo2bo61bobo12bo2bo76bo2bo68bo7bo2bo76bo2bo76bo2bo
76bo2bo76bo2bo76bo2bo48b2o3b2ob2ob2o2bo12bo2bo76bo2bo76bo2bo76bo2bo76b
o2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76b
o2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76b
o2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76b
o2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76b
o2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76b
o2bo76bo2bo76bo2bo70bo5bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo
70bo5bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo
2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo
2bo76bo2bo76bo2bo76bo2bo64b2obo8bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo
2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo
2bo76bo2bo76bo2bo76bo2bo70bo5bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo
76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo
76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo
76bo2bo55b2o3bobo13bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo
2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo
2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo
2bo76bo2bo68b2o6bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo
76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo
70bo5bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo
2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo
2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo
2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo$9b2o78b2o
78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o
78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o
78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o
78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o
78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o
78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o
78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o
78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o
78b2o78b2o78b2o78b2o78b2o78b2o78b2o63bo14b2o78b2o65bo2bo9b2o78b2o78b2o
78b2o78b2o78b2o50b5o5bob2o14b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b
2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b
2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b
2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b
2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b
2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b
2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o65bo2bo9b2o78b2o78b2o78b2o
78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o
78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o
78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o
62bo15b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o
78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o
78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o
78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o
78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o
78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o
78b2o78b2o$9837b3o462b3o5bo6965bobo$10303bo12b2o$10315bo2bo$10316b2o
35$23205b3o$23204bo3bo$23203bo5bo$23203bo5bo$489bo3919bo18793b3ob3o$
488bobo3917bobo8794b3o$487bo3bo3915bo3bo8791bo4bo4553bo$488bobo1352bo
2564bobo4872bo2402bo1515bobo4bo4552bo5435b4o9b4o$483b3o3bo1352bobo
2558b3o3bo4873bo2401b3o1513b2o3bo2bo9987b5o9b5o$483b3o11bo1343bo3bo
2555b2ob2o11bo4865bo2400bo2bo1514b2o2bob2o1350bo2321b2o78b2o6231bob5o
9b5obo$498bo465b3o641b2o232bobo80b3o2472bob2o14bo7264b5obo1506b2o7bobo
1352bo2320bobo77bobo6229b2o8b2o3b2o8b2o$494bobob2o463bo3bo559bo82bo
231bobo80b2o2473bobo11bobob2o4859b3o3b3o2396b4ob2o1505b2o1362bo2320bo
235bo645b3o5427b2o7bo2bobo2bo7b2o3587bo$477bo7b3o4b3ob3o463bo5bo558bo
79bo233bobo81b3o2477b3o4b3ob3o12461b3o234b2o644b3o714b2o4712bo7b3o3b3o
7bo381b2o3201b2o3bo$471b2o3b2o8bo9b2o464bo5bo558bo79bo233bo87b2o2471b
3obo9b2o3988b3o874bo242bo2161bo4477b3o711b5o75bo2b3o150b2obo645b2o712b
o2b2o4711b2o19b2o3579b3o2bo5bo$470bobo10bo2bo475b3ob3o555bob2ob3o76bob
o230b2o86b2o2472bo2bo3999bobo874bo240b2obo2153b2o1513b2o2968bobo716b2o
74b7o150b3o1123b2o232b2o3bo3762b2o947b2o19b2o385bobo404bo2791bo4bo$
470bo13b2o11b3o544b3o477b4o2b2o77bo318bo2bo81bo80bo2309b2o11b3o1670bo
2314bo877bo240bo3bo2bo2148b3ob3o1509b3o3b3o2323bo636bo82bo637b2o76bo3b
o146bo2bo1123b2o2bo3998bo2bo948bo17bo385bobobo233bo169bobo2783b2obobo
2bo$497bo545bo2bo397bo79bob2ob3o2bo392bo2bo82bo79bobo1350b2o969bo1671b
2o2315bo872bo244b2o2bobobo74bo2073b2o1512bob2o971bo1356bobo78bo311bo
245bo80bobo552bo80b2o2b2ob2o72b2o4b2o144b2obo644bo230bo164bo81b2o3bo3b
2o225b5obo235bo3200b4ob2o317bo1355bo6bob2o226bo2bo168b2o398bo956b2obo
1424bo2bo$473b2o22b2ob2o226bo314bo2bo397bo80bo7bobo390b2obo83bo80bo
1274b2o74bo2bo968b2ob2o3984bo2bo868bobo245bobobobo73b2o1193bo886bo10bo
1499b2o967bo1358bobo77bobo288b2o20bo245bo2bo77bobo77b2o473bo82bob2ob2o
72bo5b2o147bo640b2obo229b2obo141b2o20bo83b3o4bobo225bo218b2o20bo1610b
3o1586bo6bo316bo1356b3o4b4o225bo4bo566b3o955b2ob2o1429bo485b2o$472b2o
252b3o313bo2bo398bo79bobobo3bo3bo390bo83b2o1355bo2bo73bo2bo2638bobo2b
3o2312b2o233bo635bobo8b2o239b2o73b2o4b3o1186bobo895b2o467b3o1028bobo
967bo473bo559bo325bo78bobo288b2o19bobo245b2o79bo78b3o471bobo83bo78b3o
149b2o487bo146bo9b2o230b2o4bo135b2o19bobo91bo230b2o212b2o19bobo1609bo
2bo1591bo316b2obo4b2o795b3o557b2o228b2o3bo564bo2bo955bo1427bo6bo4bo
479b3o$472b2obo250b2o314bo2bo2b2o474bo4bo3bobo476bo1355bo2bo74b2o721b
3o1915bo2bob2obo2307bo238bo636bo8bo2bo238bo79b4o1186bobo881b4ob2o6bo2b
o465bo3bo1028bo1442bo290b2o21b2o244bo405bo288bo2bo19bo132b2o21b2o85bo
165b2o566b2o67bobo8b2o628bo145bobo4bob2ob3o224bo3b2o3bobo133bo2bo19bo
317b2o6bo210bo2bo19bo612b2o21b2o972bo3bo1118b2o465bo4bo317b2o7bob2o
791bo3bo550b2o239bo86bo476b2ob2o956bob2o1423bo6bobobobo480b2o$474bo25b
obo226bo313bobo478bo9bo233bo152b3o82bo2bo2bo67b3o2b2o474bo807b2o154bo
641b2o3bo247bobo225b2o798b2o555b2o82b4o2b2o2305bobo237bo646bobo238bo
74b6o3bo1186bo881b5obo8b2o466bo3bo1434b2o1035bo289b3ob2o17b2obo243bo
320bo8b2o363b2obo2bo14bobo131b3ob2o17b2obo83bobo78bo8b2o76b2o466b2ob3o
b2o77b2obob2o5bo2bo63b4ob3o5bo2bo133bo493bo141b3o3bo7b2ob2o5bo227bobo
75b2o56b2obo2bo14bobo88b2o223b4o2bo3bobo210b2obo2bo14bobo611b3ob2o17b
2obo565bo405bobob2o1117b2o230b2o235b2o319b2o9b2o791bo3bo550bo2bo3bo
230bo87bo2bo312bo163bo955b4o3bo1423bo2b2o4bo3b2o480b2o$497b2o2b2o541bo
b2o475b2o243bo233bo2b4o8b2o61bo4b2o473b3o961bobo639bo3b2o245b2o2b2o
225b2o798b2o223b2o329b2o81b4o3b2o1512bo470bo2b2o317b2o72bo814bo236bo2b
o75b3obob2o632b2o1436bo2bo476b2ob3ob2o75bo320b3o456b2o574b2o789bo169b
3o363b2o3b2o17bo3bo562bobo6bo2bo68b2o8bo287bo2bo11b3o6b2o124b2o3b2o17b
o3bo81b2o79bobo6bo2bo74bob2o142bo319bob2obo3bob2obo73b2o2bo2bo6b2o68bo
b2o6b2o133bobo159b2o482bo5bobo5b3o217bob2o2bo3bo76b2o13bo46bo2bo11b3o
6b2o83b2o223b2o4bo3b3o213bo2bo11b3o6b2o308bo295b2o3b2o17bo3bo563bobo
244b2o159b2ob2o613b2o4b2o244bo251bobo229bo482b3o74bo10bo788b2ob3ob2o
75bo473b3o3bo227bob2obo3b2o79bo3bo311bobo163b3o601b3o352bo2bob2o940bo
479b2o3b2o3b2obo480bob2o$327b3o144bo21b2obo225bo321bobo473b3ob5o236bo
232bo2b3o4bo5b2o61b2ob2obo468bo4bob2o246b2o78b2o78b2o78b2o472b2o323bo
315b3obob3o242b2obo1253bobo329bobo79bo2b2o1515bobo469bo4bo323b2o64bobo
654b3o301bo92b2o78b3o2bo631bo2bo547b2o732b2o152bo3bo67bo406bobo5bobo
72b2ob2o319bo456bo2bo95b2o477bobo560bo225bobo166bob3o362bo2bobo21b2o
563b2o8b2o68bo2bo6bobo286bobo20bo2bo122bo2bobo21b2o89b2o72b2o8b2o70bo
5b2o142bobo317b5obo3bob5o71bobo2bo74bobo2bo143bo3bo155b2o2bo472bo4bo3b
3o5bo5b2obo216b2ob2o2bo94bobo45bobo20bo2bo82b2o224b2o2bo6bo213bobo20bo
2bo306bobo293bo2bobo21b2o810bo162b3o613bo2b2o4bo242bobo164b2o313bo241b
o242bo3bo72b4o7bo396b2o233bo156bobo5bobo73bobo473bo233b4o3bo2bo78bo
314bo3bo162b2o602bo2bo349b2o3bob2o392b2o545bobo479bo6bob2o477bo5b2o
229bo3b2o160b3o$327bobo144bo16b2o4bo2bo224bo319b2o2b3o473bo3b4o311b3o
156bo3b2obo5bo65b4o468bobo5b3o163bo81b2o78bobo77bobo77bob2o470bo323bo
2bo315b3o3b2o224b2o10b2o4bo2bo1252bo11b3o318b2o80b2o1516bo3bo469bo88b
2o158b2o77bob2o61bo2bo9b2o81b2o238b2o304bo166bo151b3o173b3o234bo397bob
o547bo2bo8b2o723bo151bo7bo62bobo405bo9bo71bo3b2o472b2o3bo299b2o95bo2bo
233b3o155bo85b2o559bobo79b2o142bo2bo9b2o81b2o71bo246b2o118b2o2b3o193b
2o238b2o232b2o8b2o154b2o142b2o10b2o82b2o38b2o2b3o112bob2o151bobo4bo77b
2o63bo2bo9b2o81b2o224b2o2bo5bo2b2o72bobob2obo72bobob2o144bobo154bob2o
3b4o467bo4b2o3bo2bo11bob4o214b2o4bo2bo91bobo57b2o10b2o79bo2bo79b2o78b
2o66b3o169b2o62b2o10b2o162b2o142bo2bo9b2o281b2o2b3o832bo3bo776bo4b2obo
5b2o235bobo3bo160b2o89b2o221bo3bo237b3o240bo5bo71b2o2b2o2b2o632b2o156b
o9bo73bobo69b2o408bo227b2o5bobo79b3o311b2obob2o81b2o158b2o158b2o158b2o
200b2o2b2o349b2o399b2o391b2o151bo2bo9b2o468bo2bo4bo478bobo4bo230bo4bo
160bobo$327b3o161b2o5b2o225bo317b5obo2bo392bob3o72b2o6b2ob2o309bo2bo
153bobo4b2o5b2o65bo2b2o466b2obo5b2o164bo83bo62bo16bo79b2o61bo484b4o3b
3o74b3o165b2o74bo317b4o5bo221b2obo10b2o5b2o1586b2o76bo4bo316bo558bo
641bobo391b2o79bo86b2o158b2o78b2obo61b2o10b2o81b2o151b2o85b2o303bobo
13bo3bo76b2o67b4o149b2obob3o327b2o76bobo397bo5bo238bobo225b5o10bo61b2o
8b2obo399bo237b2o79bo2b2o154bo2bobo62b2o406b2obo3bob2o71bo163b2o153b3o
7b3o145bobo3b2o297bobo96b2o233bo2bo88bo65bobo84b2o559bo2bo78b2o143b2o
10b2o81b2o70b2o159b2o85b2o119b2obobo18b2o173b2o151b2o85b2o398b2o142b2o
4b2o88b2o39b2obobo18b2o93b2obo150bobo82b2o64b2o10b2o81b2o228b2o3b2o77b
2o3bo75b2ob2o144bo155b2o3bo3b2obo466bob2o7bo13bo3bo215bo4bobobo91bo58b
2o4b2o83b2o83b2o78b2o151b2o85b2o62b2o4b2o168b2o71b2o70b2o10b2o156b2o
124b2obobo18b2o167bo7b3o295b2o258bo77bo5bo775bo3b2obo6b2o236bo4bo240bo
9bob2o221bobo237bo2b2o239bo5bo70bob4o4bo394bo236b2obo155b2obo3bob2o74b
o69b2o164bob3o238b2o2bo225bobo5bo394b2obo84b2o65b3o8bob3o77b2o71b2o85b
2o158b2o200b2o352bo793b2o153b2o10b2o311b5o10bo141bo2bo91bobo389bobo
236bo3bo160b3o$89b3o552bo398bo400bo2b3o73bo2bo3bo2b2o236b2o71b2o2bo80b
2o82bo67b3o2bo78bo79bo79b2o228bo5b2o165bo65b3o13b2o63bo14bobo61b3o13bo
b2o61bo16b2o465b2obo3bobo74bo2bo165b2o76bob2o312bo2bo3b2o222b2o8bobo
237bo7b2o790bo7b2o226bo5bo317bo75bo321b3o556b3o74bo239bo82b2o85b2o155b
o392b4o71bo6b2o325b3o308bo2bo316b3o69bo3bo12bo3bo76b2o67b2o2bo148b3o3b
o326bo3b2o73b2o404bobo230b2o5bo227bo3bo9b3o69bo3bo400bo236b2o80bo2bo
156b2o77b3o394b2o3b2o71bo4b3o157bo2bo151bobo3b3o3bobo146bo6bo294b3o
332bo3bo86b3o64bo2bo84bo238b3o320bo392b2o157bo2bo206bo19bo2bo326bo2bo
635bo6bo123bo19bo2bo95b3o151bo320b2o147bo2bo2bo3bo2bo2bo71b2o385bob2o
2bob2o2bo467bo11bo235bob2obo157bo6bo76b2o315bo2bo155bo6bo233bo2bo238b
2obo124bo19bo2bo167b2o308bo168bo7b3o77bo77bo2bob2o786bo3bo85bo155bo
164b2o73bobo8bob2o149b3o69bo239b2o2b2o238b3ob3o64bo5b2o6b2o395bo3bo
139bo4b2o87bobo157b2o3b2o148bo79bo82bo2b3o78bo80bo78bo3b2o224b2o401bo
2bo2bo159b2o152bo2bo445b3o353bo482b3o309bo92b2o383bo3bo9b3o62bo81bo83b
2o5bo392bo169bo71bo$89b3o396bobo152bobo82b3o71bo240bob2o396b2o6bo71b2o
3bob2o155b3o80b2obo72b2o80bo2bo73bo6bo2bo65b2o81bobo77bob2o67b2o9b2o
230b2ob2o247b2o63bo14b3o77bo64bo13b2o2bo464bo4bo2bobo73bo3b2o243bo2bo
306bob3obo5bo223b2obo5bo2bo236bobo6b2o473bo315bobo6b2o155bo70bo5bo316b
obo74bo2bo146bo170bo4bo63bo317b3o170b3o73bobo237bobo80bo2bo79bo4b2o
547bo3bo69b2ob2o333bo57b2o159bo90b2o317b4o2b2o64bo2bo11bo7bo144b3o149b
3o3bo326bo4bo73b2obobo400bo2bo228bobo5bo3bo224b3o9b2ob2o67bo3bo396b2o
3bo320bo151bo4bo144bo409bo2bo4bo156bo2bo151bo13bo142b2o2b2o5bo475bo
153bo3bo85b2o2bo62bo2bo84bobo236b5o540b2o171bo67bo90b2o217bo9bo4bo80bo
2bobob2o145bo90b2o643bo133bo9bo4bo95bo239b2o56b2o172bo2bo82b2o67bobobo
bo76b3o76bo309b4o3bo2bo323b2o154bo12bo226bo74b3o88bo77b2o315b2o163bo
234b2o66b2o172bob2o133bo9bo4bo164b2o2bo3bo5bo292bo3bo168bo6bo3bo76bo
77bo3bobo776bo8b3ob3o83bobo318bo75bobo9bo150bo3bo68bo239b3o2b2o306bob
2o6bo400b3ob2o139bo6b2o87b2o390b2ob2o79b2o6bo75b3o76bobob2o77b2o3bo
316bo73bo4bo232b2obo161bo2bo150b2o446bo13b2o342bo480b3o239b2o160bobo
54b2o328b3o9b2ob2o60bobo77b2obo82bobo5bo3bo557b3o68b2o$87bo4bo72b3o
305b3o14bo151bo2bo85b2o68bob6o78b2o163bo391b2o4bobo71b2obo3b2o74b3o78b
2o78bob2ob2o154bobo63b2o6b3o7bo67b2o2bo69b2o3bo3bob2o59bo6b4o2b2o4bo
59b3o5bob2o7b3o231bobo86b2o80b3o59bo20b2o76b4o57bo17bo3bo75b2o230bob3o
232bo3bo2bo74bo5bo244bobo306b2o3b3o230b2o6bo2bo238bo237bo242b3o148bo
167bo158b2o2b3o68bo5bo77bo237b2obo75b2o146bobo94b4o70b4o65bobo316bo
171b3o2bo71bo239bo83b2o79bob2o74b3o473b3o3b2o67b2ob2o13b2o72b2o5b2o
151b2o5b2o134bo2bo93b2o5b2o55bobo9bob3o159b2o5b2o68b2o87bo68bob2o2bo
65b3o10b2ob2obo4b2o147b2o134b3o8b2o2bob2o3b3o160b3o160b2o72bobobo2bo
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3bo57b2o4bo9bo4566bobo72bob2o481bobo396b2o234bob2o2721bobo552bob2o
1593bo1127bo3bo1194b2o1096b2o16bobo322bobo292b2o179bo2bo$8b3o77b3o77b
3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b
3o77b3o77b3o77b3o77b3o67b5o5b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b
3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b
3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b
3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b
3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b
3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b
3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o70bobo4b3o77b
3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o60bo5bo10b3o77b3o66bo2bo7b3o
77b3o77b3o72b3o2b3o77b3o66bo2bo7b3o46bo6bo5bo2b3o12b3o77b3o77b3o77b3o
77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o
77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o
77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o
77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o70bobo4b3o66b2o
9b3o77b3o77b3o77b3o77b3o77b3o70bobo4b3o77b3o77b3o77b3o77b3o77b3o77b3o
77b3o66b2o9b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o
77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o
77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o70bobo4b3o77b3o77b3o77b3o77b3o
77b3o77b3o66b2o9b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o
77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o61bobo13b3o77b3o77b3o77b
3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o71b2o4b3o77b3o77b
3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o68bo2bo
5b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o
48b2o16bo10b3o77b3o77b3o77b3o70bobo4b3o77b3o77b3o77b3o42b2obo31b3o77b
3o67b3o7b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b
3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b
3o77b3o77b3o77b3o77b3o77b3o$8bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo
76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo
76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo67b3o6bo2bo76bo2bo76bo2bo76bo2bo76b
o2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76b
o2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76b
o2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76b
o2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76b
o2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76b
o2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76b
o2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76b
o2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76b
o2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo70bo5bo2bo76bo2bo76bo2bo76bo2bo
76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo60b5o11bo2bo76bo2bo63b3o10bo
2bo76bo2bo76bo2bo76bo2bo76bo2bo65b3o8bo2bo46b2o4bo6b2o2bo12bo2bo76bo2b
o76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2b
o76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2b
o76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2b
o76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2b
o76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2b
o76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo70bo5bo2bo76bo2bo76bo2bo76bo2bo76b
o2bo76bo2bo76bo2bo70bo5bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo
76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo
76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo
76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo
76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo70bo5bo2bo76bo2bo76bo2bo76bo2bo76bo
2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo
2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo
2bo76bo2bo76bo2bo60bobo13bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo
2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo
2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo
2bo76bo2bo76bo2bo68b2o6bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo
76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo65bo10bo2bo76bo2bo76b
o2bo76bo2bo70bo5bo2bo76bo2bo76bo2bo76bo2bo42b3o31bo2bo76bo2bo76bo2bo
76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo
76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo
76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo
76bo2bo$9b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b
2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o69bo8b2o78b2o78b2o78b2o78b2o
78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o
78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o
78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o
78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o
78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o
78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o
78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o62b3o13b2o78b2o
78b2o78b2o78b2o78b2o78b2o78b2o49bo3bo24b2o78b2o78b2o78b2o78b2o78b2o78b
2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b
2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b
2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b
2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b
2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b
2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b
2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b
2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b
2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b
2o62bo15b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b
2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b
2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b
2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o44bo33b2o78b2o78b
2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b
2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b
2o78b2o78b2o78b2o$9839b2o469b3o$9837b2obo460bo7b2obo$9836bo3bo460b3o6b
obo$9836bo2b2o470bo$9837b3o$9838bo!

Post by **Ian07** » February 20th, 2022, 2:43 pm

Is this beacon-to-eater component known? I would assume so, given its simplicity. It doesn't seem to be in Shinjuku, although that's probably just because Shinjuku doesn't like components involving oscillators. Shown below is xp2_0c813z65115ac (6G) + 2G = xs19_0ca23z65115ac (currently 9G):

Code: Select all

x = 12, y = 18, rule = B3/S23
9b2o$4b2o2bobo$4bo4bo$5b4o2$5b2o$5b2o$7b2o$7b2o5$10bo$9b2o$3o6bobo$2bo
$bo!

hkoenig · Post by **hkoenig** » February 20th, 2022, 5:02 pm

Yes. I have five variations on this theme, plus another requiring 3 Gliders.

Code: Select all

x=75, y=25
2o15b2o22bo5b2o15b2o$2o15b2o21bo6b2o15b2o$2b2o3bo11b2o3bo15b3o6b2o2bobo10b
2o2bobo$2b2ob2o12b2ob2o9b2o14b2o2b2o11b2o2b2o$6b2o15b2o8b2o5bo13bo16bo$35b
2o2b2o32bo$7bo17b3o7b2o2bobo13b3o14b2o$6b2o17bo29bo16bobo$6bobo17bo29bo7$
2o15b2o20b2o$2o15bo6bo14bo$2b2o2bobo11bo2bo18bo$2b2o2b2o11b2o2b3o8b2o5b2o$7b
o25bobo$25bo9bo$7b3o14b2o19b2o$7bo16bobo9b3o6bobo$8bo27bo8bo$37bo!

Post by **Ian07** » February 21st, 2022, 12:48 am

hkoenig wrote: ↑
February 20th, 2022, 5:02 pm
Yes. I have five variations on this theme, plus another requiring 3 Gliders.

Ah, that's what I thought. I just submitted a giant RLE to Catagolue of this component manually applied to every p2 which has a synthesis and contains a beacon, so we should see those changes about 8 hours from now. (unfortunately, as is typical, I was late for the update job by a margin of a few minutes)

Anyway, what's the best place to find oscillator-involved components? Shemyakin's and Grant's collections appear to only have still life components as far as I can tell, and the "Component Catalog" page on your site appears to be blank. Mark Niemiec's database probably has some, but it doesn't seem to mention this one, and it doesn't provide a convenient way of locating these non-transfer.py-friendly components.

Inferno · Post by **Inferno** » March 27th, 2022, 9:06 pm

Incredibly versatile 2G component, shown here making 20 different conversions (with more likely to be possible)

Code: Select all

x = 97, y = 121, rule = B3/S23
6bo46bo25bo$7bo22bo23bo25bo$5b3o23bo20b3o23b3o$29b3o6$2bo46bo25bo$2b2o
4bob2o14bo22b2o4bobo17b2o4b2o$bobo4b2obo14b2o4bob2o12bobo4b2obo15bobo
4bo2bo$25bobo4b2obo22bo23b2obo$8b2obo24b2o20b2o25bo$8bob2o20b4o2bo46b
2o$32bo4b2o$33bo$32b2o10$5bo$6bo22bo22bo$4b3o23bo22bo28bo$28b3o20b3o
29bo$81b3o5$bo$b2o4b2o16bo22bo7bo$obo4bo2bo14b2o4b2o15b2o5bobo20bo7bo$
8b3o13bobo4bobo13bobo6bobo19b2o5bobo$32bo25bo18bobo5b2obo$8b3o22b3o22b
2o28bo$7bo2bo24bo52b2o$7b2o8$85bo$86bo$59bo24b3o$35bo24bo$36bo21b3o$9b
o24b3o$10bo$8b3o2$81bo$81b2o4b2o$43b2o10bo24bobo3bo2bo$31bo7bobo2bo10b
2o4b2o24b2o$31b2o5bob4o10bobo4b2o$5bo7bo16bobo5bo48b4o$5b2o5bobo21bobo
b2o19b4o22bo2bo$4bobo5bobo21b2o2bo20bo2bo$10bobob2o24bobo$10b2o29b2o
10$36bo28bo$10bo26bo28bo22bo$11bo23b3o26b3o23bo$9b3o76b3o6$32bo10b2o
16bo$6bo25b2o4bob2o2bo16b2o4bob2o14bo$6b2o4bob2o15bobo4b2ob3o16bobo3bo
b2obo13b2o4bobobo$5bobo4b2obo50bo4bo12bobo3bob3obo$15bob2o19b4o25b4o
19bo5bo$15b2obo19bo2bo49b5o$69b2o22bo$69b2o7$38bo21bo$39bo21bo27bo$11b
o25b3o19b3o28bo$12bo75b3o$10b3o5$34bo21bo$34b2o4bobobo11b2o4bobobo18bo
6bo$7bo25bobo3bob3obo9bobo3bob3obo17b2o4bobo$7b2o4bobobo21bo5bo15bo5bo
16bobo3bobo$6bobo3bob3obo21bob3o17b2ob2o24bo$12bo5bo22b2o20bobo26b3o$
13b3obo26b3o14bobobobo26bo$15bobobo25bo2bo12b2o3b2o$18b2o23bo3b2o$43b
2o!

hkoenig · Post by **hkoenig** » March 27th, 2022, 10:30 pm

Two Gliders to make that isolated bit has been known for a while, and is the basis for a number of components, but you do have a few new applications of it in there.

wwei47 · Post by **wwei47** » April 7th, 2022, 11:52 am

May13 wrote: ↑

April 7th, 2022, 10:58 am

Improvements for 3 xs15's (8G, 10G, 10G; 62 still lifes left):

Code: Select all

x = 280, y = 189, rule = B3/S23
248bo28bobo$246b2o29b2o$247b2o29bo4$224bobo$225b2o$225bo4$30bo$31bo$
29b3o5$29bobo$30b2o24bo$30bo25bobo180bo$56b2o179b2o$238b2o2$248b2o$
247b2o$249bo2$230bo$228b2o$229b2o3$230b2o$229b2o$231bo6b2o$30b2o206bob
o$23b2o4bobo206bo$24b2o5bo$23bo11$51b2o$50b2o$52bo$19b3o$21bo$20bo2$9b
3o$11bo$10bo19$159b2o$160b2o$159bo4$165b2o$166b2o$165bo50$8bo$7bo$7b3o
7$2bo$obo$b2o3bo$5bo$5b3o6$o15bo$b2o12bo74b2o$2o13b3o73bo$90bo$89bo$
90b3o$93bo$92bobo$93bo4$110bo$108b2o$109b2o2$5b2o93bo$4bobo93bobo$6bo
93b2o7$101b2o$101bobo$101bo3$103b3o$103bo$104bo!

Corollary component:

Code: Select all

x = 16, y = 15, rule = B3/S23
3b2o6bobo$4bo6b2o$4bob2o4bo$5b2obo$8bo5b2o$8bobo2b2o$9b2o4bo$5b2o$2o2b
o2bo$b2o2b2o$o$9b3o$5bo3bo$5b2o3bo$4bobo!

GUYTU6J · Post by **GUYTU6J** » April 11th, 2022, 4:47 am

Can this soup-based component be completed?

Code: Select all

x = 46, y = 19, rule = B3/S23
2o4b3o$bo2b2o3bo35bo$bobob2ob2o35bo$2b3obo38bo$7b2o34bo$6b2o32bo2bo$
41b3o3$41bo$40bo2b2o$7bobo30bo4bo$6b2obo30bo4bo$7bobo31bo2bo$8bo26b2o
6b2o$2o33bo$o36bo$2bo33b2o$b2o!

spark_search.py returned nothing but a messy result for the top part.

Code: Select all

#C [[ STOP 83 ]]
x = 38, y = 48, rule = B3/S23
7bo$8b2o$7b2o2$2bo17bo$obo15b2o$b2o16b2o$8bo$8bobo$8b2o5$8bo$9bo$7b3o
15$15b2o$15bo$17bo$16b2o5$36b2o$35b2o$37bo4$34b3o$34bo$35bo!

Unrelated, can this soup-based component that attaches cis-hook with tail motif to a beehive be simplified by improving cleanup?

Code: Select all

x = 128, y = 45, rule = B3/S23
37bobo$22b2o13b2o73b2o$21bo2bo13bo72bo2bo$22b2o88b2obo5b2o$114bobo4b2o
$114bo2bo$113b2o3bo$22b2o93b2o6b3o$22b2o101bo$126bo$35bo$33b2o$34b2o5$
38b3o$38bo$39bo$110bo$110bo$28bo81bo$28bobo$28b2o$24b2o86b3o$23b2o87bo
$25bo87bo2$2o$b2o$o11$48bo$47b2o$47bobo!

Post by **Ian07** » April 11th, 2022, 8:43 am

GUYTU6J wrote: ↑
April 11th, 2022, 4:47 am
Unrelated, can this soup-based component that attaches cis-hook with tail motif to a beehive be simplified by improving cleanup?
Code: Select all
RLE

Reduced by one glider:

Code: Select all

x = 129, y = 40, rule = B3/S23
37bobo$22b2o13b2o$21bo2bo13bo$22b2o4$22b2o$22b2o2$35bo$33b2o$34b2o$
127bo$114b2o10bo$113bo2bo9b3o$114b2obo5b2o$38b3o75bobo4b2o$38bo77bo2bo
$39bo75b2o3bo$119b2o2$28bo$28bobo$28b2o$24b2o$23b2o$25bo2$2o$b2o$o6$
41b2o$40b2o$42bo!

GUYTU6J · Post by **GUYTU6J** » April 14th, 2022, 12:12 pm

GUYTU6J wrote: ↑
April 13th, 2022, 5:25 am
Inspired by a C2_4 soup, here is a 6G component that adds a long hook with tail motif to a beehive for 8G xs15_69m88czx56. The glider heading SE barely passes the beehive.
Code: Select all
x = 71, y = 54, rule = B3/S23
10bo$9bobo$9bobo$10bo8$28bo$29bo$27b3o3$26b3o$28bo$27bo8$9b2o$8bobo$
10bo$bo$b2o$obo2$25bo$24b2o$24bobo16$68b3o$68bo$69bo!

In a similar spirit, a less elegant 9G component adding a hook with tail motif from a G1 soup:

Code: Select all

x = 58, y = 52, rule = B3/S23
42bo$40b2o$41b2o2$obo$b2o2bobo$bo4b2o21bo$6bo22bobo$29b2o7$29bo$29bobo
$29b2o3$31bobo$31b2o$15bobo14bo$16b2o$16bo2$9b2o$8bo2bo$9b2o2$42bo$41b
2o$41bobo17$55b2o$55bobo$55bo!

Well, it does not reduce xs14_69m88czw23 (11 vs 9), and the long hook with tail built by last component can be degraded with another 3G.

Code: Select all

x = 36, y = 18, rule = LifeHistory
8.C19.D$7.C19.D2B$7.3C16.B3D$13.C11.4B4.DB$C.C10.C.C4.DBD.4B4.BDBD$.2C
10.2C5.B2D4B4.2B2D$.C19.D3B5.4B$22.4B3.4B$23.4B2.3B$24.3B.3B$7.2A16.4B
$8.A17.2AB$7.E19.E$6.E19.E$5.A.3A15.A$4.A.A2.A15.2A$4.A.A$5.A!

So the new one is at best a tie in cost. But it is in the first soup I checked, and so I am very likely to miss better ones elsewhere.
I'm posting because I think there should be a series of converters with various hook length - what is the state of the art? Do they start from attaching a beehive or similar things?

wwei47 · Post by **wwei47** » May 6th, 2022, 10:27 pm

AlbertArmStain wrote: ↑

May 6th, 2022, 3:20 pm

I've been collecting stable honey farm catalysts for this exact reason.
here's my collection:

Code: Select all

x = 292, y = 144, rule = B3/S23
248bo$246b3o$245bo$147bo29bo29bo37b2o$146bobo27bobo27bobo$147bo29bo29b
o$69b2o172b2o$69b2o72bo29bo29bo39b2o$102b2o38bobo3b2o22bobo3b2o22bobo
3b2o$101bo2bo38bo3bobo23bo3bobo23bo3bobo$71bo29b2obo42b2o28b2o28b2o$b
o29bo29bo8bobo18bo10bob2o15bo29bo29bo29bo29bo29bo$ob2o26bob2o6b2o3b2o
13bob2o7bo18bob2o8bobo2bo12bob2o6b2o18bob2o26bob2o26bob2o18b2o6bob2o26b
ob2o$b2o28b2o6bo2bo2b2o14b2o28b2o6b2obo3b2o13b2o8bo19b2o28b2o28b2o19b
o8b2o28b2o$40bobo28bo27b2o2bo27bob2o94b2obo$7b2o32bo28bobo29b2o26b2o2b
o94bo2b2o43b2o$7bobo61bo55bo4b2o96b2o45bobo$9bo29bo4b2obo54b2o23b5o100b
2o45bo$9b2o27bobo3b2ob3o50bo2bo21b2o4bo71b2o27bo46b2o$39bo10bo18b2o18b
2o9b3o23bo2b2o25bo46bo2b2o21b2obo33b2o$29b2o13b2ob3o19b2o19bo12b3o20b
obo26bobo20bo25bobo2b2o18b2ob2o32bo$30bo12bo2b2o39b3o12bo2bo15bo2bobo
bo26bobo19bobobo2bo18b2o2bob2o2b2o2b2o44b2obo4bo$27b3o13b2o42bo15b2o16b
4ob2o25b2o3b2o17bobob4o20bobo5bo4bo44b2obobobobo2bo$27bo97bo28bob2o2b
o15b2ob2o24bobo6b4o49b2obob4o$123bobo26bobobo2bo18bo3b3o21bo64bo$123b
2o27b2o3b2o19bob2o2bo31b2o55bo$179bobo34b2o54b2o7$37bo$36bobo$37bo59b
o19bo168b2o$95b3o19b3o162b2o2bobo$41bo52bo25bo161bobobo2bo$35b2o3bobo
39b2o10b2o23b2o45b2o81b2o33bobob2o$35bobo3bo41bo17b2o64bo81bo33b2obo$
36b2o33b2o10bobo14bobo26bo2b2o33bobo49b2o26bobo36bob2o$bo29bo29bo8bo2b
o10b2o5bo8b2o19bo6bobo2bo17bo16b2o11bo29bo5bo2bo20bo5b2o22bo14bobo2bo
$ob2o26bob2o26bob2o7b2o17bob2o10b2o14bob2o5b2obo17bob2o20bo5bob2o26bo
b2o3b3o20bob2o26bob2o7b2o4bo2b2o$b2o28b2o28b2o28b2o11bobo14b2o8bo19b2o
20bobo5b2o28b2o28b2o28b2o7bo2bo$106bo22b2o43bo42b2obob2o57b2o4bo2b2o$
8b2o64b2o30b2o21bo27b2o9b2o48bob2obo62bobo2bo$8bobo63bo56bo25bobo7bob
o48bo67bob2o$10bo64b3o52b2o27bo7bo49b2o64b2obo$10b2o65bo81b2o5b2o116b
obob2o$59b2o85b2o87b2o45bobobo2bo$60bo84bo2bo3bo2bo79b2o2b2o41b2o2bob
o$57b3o83bo2b2o4b4o18b2o64bo45b2o$57bo85b2obo3b2o4b2o16bo4b2o30bo9bo12b
ob4o$146bo2bo3b2obobo16bo3b2o30b3o5b3o12b2obo$146bobob2obobo2bo17bo37b
o3bo$147b2obobo2bobo16bob5o32b2o3b2o$150bobobobo16bobo4bo$147b4obo2bo
17bobo2bo$147bo5b2o19bo3b2o$148bo81b2o$147b2o72bo9bo$206b2o12bobo7bo$
152b2o52b2o12b2o8b2o$147bo4bobob2obo72bo37b2o$147b3o4bobob2o56bo13b3o
5bo32bo$150bo3b2o21bo29bo7bobo11bo7bobo31bob2o3b2o$51b2o90b2o4b2o26b3o
27b3o5bobo11b2o6bobo32bobo4bo$51bo48b2o42bo35bo29bo5bo21bo35bob3o$49b
obo48bo43bobo32b2o28b2o21b2o39b2obo$49b2o47bobo44b2o42b2o40bobo$bo29b
o8b2o19bo29bo6b2o21bo68bo40bo$ob2o26bob2o5bo2bo17bob2o26bob2o26bob2o27b
o29bo6bo22bo18b2o9bo29bo$b2o28b2o7bobo18b2o28b2o28b2o27bob2o26bob2o4b
2o20bob2o26bob2o26bob2o$41bo88b2o19b2o28b2o7bo20b2o28b2o28b2o$9b2o57b
2o28b2o29bo2bo55b2obo$9bobo54bo2bo28bobo29b2o55bobobo$11bo54b3o31bo87b
o2bob2o$11b2o87b2o41bo2bob2o41bobo$66b2obob2o70b4obo41b2obo$67bob2obo
46b2o9b2obo2bo11bobo36bobo2bo$67bo52bo10bob4o8b2o2b2o36b2o2bo$66b2o49b
3o9bobo13bo46b3o$117bo11b2o2b2o11bo47bo$134bo10b2o$133bo$133b2o5$242b
2o$242bobo2b2o$69b2o173bo3bo$69bo170b4ob3o$27bo38b2obo170bo2bobo$27b3o
36bobo174bobob3o17bo7b2o$30bo32b2obo112bo7bo56b2obo2bo16b3o5b2o$29b2o
32bobobo62b2o46bobo4b3o61b2o19bo$67bo2b2o58bo28b2o18bo4bo84b2o16b2o$66b
2obobo56bobo28bo24b2o63b2o31b2o2bo2bo$bo29bo29bo7bobob2o16bo29bo6b2o27b
obo87bo2bo31bobo2b2o$ob2o26bob2o26bob2o5b2obobo15bob2o26bob2o27bo5b2o
22bo29bo29bo5b3o21bo13b2o$b2o28b2o28b2o9bo18b2o7b2o19b2o27bob2o21b2o3b
ob2o26bob2o26bob2o6b3o17bob2o12bo$69b2obobo23bo2bo29b2o18b2o22b2o4b2o
28b2o28b2o6bo3bo17b2o13bob2o$69bobob2o23b3o28bo2bo117b3o30b2obo2bo$66b
2obobo57b3o25b2o59b2o27b3o33b2ob2o$4b2obo2bo56bo2b2o26b2obob2o52bobo56b
o2bo27bo2bo$5bob4o52bobobo31bob2obo22b7o25bo56b3o30b2o$3bobo57b2obo26b
2obo2bo26bo6bo25b2o48b2o$3b2o2b2o19bo37bobo25bob4o27b2obobo77bo3b3o64b
2o$8bo18bobob2o33b2obo22bobo25bo7bob2o75b3o3bo2bo64bo$7bo19bobobobo35b
o22b2o2b2o21bobo6bo78bo5b2o30b2o35b3o$7b2o15b2obobobobo2bo32b2o26bo21b
obo7b3o19bo9bo19bo9bo53bobo36bo$24bo2bo2b2ob4o59bo23bo10bo19b3o5b3o19b
3o5b3o55bo$26b2o4bo63b2o26b2o28bo3bo25bo3bo58b2o$32bobo89bobo26b2o3b2o
23b2o3b2o$33b2o91bo$126b2o$15b2o$9b2o5bo$4bo4bobob3o145bo29bo$4b3o4bo
bo132b2o12bobo13b2o12bobo$7bo3b2o44bo88b2o12b2o14b2o12b2o$6b2o48bobo$
57bo98bo29bo$147bo7bobo19bo7bobo$53bo93b3o5bobo19b3o5bobo$9b2o28b2o11b
obo3b2o69b2o19bo5bo23bo5bo$8bo2bo27bo13bo3bobo69bo19b2o28b2o$9b2o26bo
bo17b2o68bobo12b2o$bo29bo5b2o22bo29bo29bo5b2o13bobo$ob2o26bob2o26bob2o
26bob2o26bob2o19b2o6bo29bo$b2o28b2o28b2o28b2o28b2o16b2o9bob2o26bob2o$
97b2o39bobo10b2o28b2o$38b2o58bo39bo$38bo57bo2b2o36b2o$35b2obo57b3o2bo
$33bo2bob2o49b2o9bo$32bob2o19b2o33bo3b6o$33bo21b2o3bo26b3o4bo2bo$31bo
bo25bobo25bo32bo5b2o$31b2o27bo58bobo3bobo$120bo3bobo$125bo!

I'm uncertain if it will help though.

How do you insert this dot?

Code: Select all

x = 35, y = 18, rule = B3/S23
26bo$25bobo$25bobo$26bo2$bo20b2o$ob2o17bo2bo$b2o17b3o$20b3o4b2o2bo$26b
o2bo$26b2ob2o$4b2obo2bo18bobo2bo$5bob4o18bob4o$3bobo21bobo$3b2o2b2o18b
2o2b2o$8bo23bo$7bo23bo$7b2o22b2o!

Post by **Ian07** » May 13th, 2022, 7:30 pm

An unknown user apparently found this 3G carrier-to-bipole component on April 9th, and used it to improve multiple relatively small oscillators. Is this new, or did Catagolue just not get the memo due to it involving an oscillator?
Code: Select all
```
x = 20, y = 19, rule = B3/S23
obo$b2o$bo11bo3b2o$13b2o2bobo$12bobo2bo9$9b2o$9bo2bo$11b2o$13b2o$13bob
o$14bo!
```
This 3G snake-to-worm has to already be known, right? Also from a Catagolue submission, but by complete accident (it appears as part of a naturalistic synthesis, presumably from one of the stdin censuses):
Code: Select all
```
x = 91, y = 18, rule = B3/S23
79b2o$79bo2bo$80b3o$2o$o2bo76b2obo$b3o76bob2o$88bo$b2obo83bobo$bob2o
83b2o$9bo$9bobo$9b2o$79b2o$bo76bobo$2bo77bo$3o2bo78bo$5bobo75b2o$5b2o
76bobo!
```

EDIT on July 15, 2022: Carson Cheng has revealed himself to be the user in question.

hkoenig · Post by **hkoenig** » May 13th, 2022, 9:04 pm

Ian07 wrote:This 3G snake-to-worm has to already be known, right?

I don't list it, but I do have a 2 Glider solution--

Code: Select all

x=12, y=11
2o$obob2o$2bobo$b2o2bo$4b2o5bo$9b2o$10b2o2$9bo$8b2o$8bobo!

The Carrier to Bi-Pole is new to me.

Post by **Ian07** » June 14th, 2022, 1:20 pm

Long tail component reduced from 5G to 4G by Carson Cheng; crossposted from Discord:

Code: Select all

x = 22, y = 22, rule = B3/S23
2bo$obo$b2o$20b2o$19bobo$20bo3$13bo$14b2o$13b2o3$13b3o$13bo$14bo4$18b
2o$17b2o$19bo!

LLAMASKYWALKER · Post by **LLAMASKYWALKER** » June 14th, 2022, 6:57 pm

From useless discoverys thread

Code: Select all

x = 11, y = 20, rule = LifeHistory
4.2A$4.A$5.A$2.3A$.A$A.A$.A.A$3.A$2.A$2.2A4$3.2A$3.A.A$3.A!

mniemiec · Post by **mniemiec** » June 14th, 2022, 7:49 pm

LLAMASKYWALKER wrote: ↑
June 14th, 2022, 6:57 pm
From useless discoverys thread
Code: Select all
x = 11, y = 20, rule = LifeHistory
4.2A$4.A$5.A$2.3A$.A$A.A$.A.A$3.A$2.A$2.2A4$3.2A$3.A.A$3.A!

This basic mechanism has been known for decades; you can use it to collapse the end of an eater- or snake-like object, leaving a pond behind. All mechanisms involving smashing a single glider into any still life with a population of 15 or less has already been tried long ago, as have most mechanisms hitting such objects with simple sparks (e.g. bit-spark, domino, etc.).

carsoncheng · Post by **carsoncheng** » June 17th, 2022, 10:35 am

Crossposting from Discord, the eater-siamese-tail component has been reduced from 7G to 6G:

Code: Select all

x = 34, y = 42, rule = B3/S23
bo$2bo$3o11$31bobo$31b2o$32bo14$9b2o10bo$10b2o8bo$9bo10b3o2$31b2o$17b
obo10bo2bo$18b2o11b2o$18bo3$15b2o$14bobo$16bo!

Edit on June 22: Crossposting from Discord, here is a 6G beehive-to-xs26_o4ie0ehlmz01y2696 component that can be generalized into other still lifes. The component shown below is applied to a beehive and a loaf.

Code: Select all

x = 111, y = 33, rule = B3/S23
8bo77bo$9bo77bo$7b3o75b3o5$14bo77bo$15bo77bo$13b3o75b3o3$obo75bobo$b2o
76b2o$bo77bo$14bo77bo$14bobo75bobo$14b2o76b2o$9bo77bo$10b2o76b2o$9b2o
76b2o6$17b2o76b2o$16bo2bo74bo2bo$17b2o76bobo$96bo$30b2o76b2o$30bobo75b
obo$30bo77bo!

Edit on June 30: Here is a 5G bridge-snake component, reduced from 6G:

Code: Select all

x = 29, y = 27, rule = B3/S23
bo$2bo$3o$27bo$26bo$26b3o2$3bo$4b2o$3b2o7$9bo$9bobo$9b2o5$4b3o$6bo$5b
o3bob2o$9b2obo!

dl-rs · Post by **dl-rs** » July 4th, 2022, 5:43 am

Code: Select all

x = 12, y = 7, rule = B3/S23
b2o5b3o$o2bo4bo2bo$b2o6b2o2$4b2o$3bo2bo$4b2o!

A queen bee appears. (I posted it in the sandbox)
Pre-Honey farm + Hive * 2 = Queen bee + Block + Hive

carsoncheng · Post by **carsoncheng** » July 10th, 2022, 5:11 am

3G component that adds a G (induction coil) onto a length-2 surface:

Code: Select all

x = 19, y = 14, rule = B3/S23
12bobo$12b2o$13bo6$17b2o$16b2o$3o7b2o6bo$2bo6bo2bo$bo7bobo$10bo!

Edit on July 22: 3G eater-to-shillelagh component:

Code: Select all

x = 19, y = 20, rule = B3/S23
2o$obo$2bo$2b2o3$6bo$6b2o$5bobo$10b3o$10bo$11bo6$16b3o$16bo$17bo!

HotWheels9232 · Post by **HotWheels9232** » July 23rd, 2022, 8:31 pm

Can this be finished?

Code: Select all

x = 7, y = 10, rule = B3/S23
2o$o4b2o$2bobobo$b2obo$o2b2o$2o2$2bo$b3o$bo!

Edit 1:
4g for a different version:

Code: Select all

x = 24, y = 41, rule = B3/S23
2o$o4b2o$2bobobo$b2obo$o2b2o$2o5$bo$2bo$3o7b2o$10bobo$10bo$bo$b2o$obo
21$21b3o$21bo$22bo!

Post by **Ian07** » July 24th, 2022, 12:54 am

HotWheels9232 wrote: ↑
July 23rd, 2022, 8:31 pm
Can this be finished?

3G, also 5G for a better-clearance version:

Code: Select all

x = 62, y = 24, rule = B3/S23
45b2o$2o43bo4bo$o4b2o40bobobobo$2bobobo39b2obo2b2o$b2obo40bo2b2o$o2b2o
40b2o$2o4$48b2o$4bobo37b2o2bobo$o3b2o39b2obo$b2o2bo38bo8b3o$2o51bo$54b
o2$5bo$4b2o$4bobo$37bo$37b2o20b2o$36bobo20bobo$59bo!

carsoncheng · Post by **carsoncheng** » July 27th, 2022, 7:09 am

7G component that adds a great on-off rotor to any still life with a pre-block frontend and capable of an eater 1 catalysis, shown here being applied to an eater 1 to create an improved synthesis of xp2_ciabgzx254c:

Code: Select all

x = 36, y = 48, rule = B3/S23
27bo$27bobo$27b2o7$33bo$33bobo$33b2o12$10bobo$11b2o$11bo$6b3o$8bo$7bo
2$12bo$12b2o$11bobo5$21b2o$21bobo$23bo$23b2o3$3o$2bo$bo10b2o$12bobo$12b
o!

Note that the eater catalyst must be in the correct orientation, or the component will fail.

Edit on July 31: 5G pre-block to long^3-hook component:

Code: Select all

x = 41, y = 39, rule = B3/S23
10bo$8bobo$9b2o11$18bo$18bobo8b2o$18b2o9bo$27bobo$27b2o5$5b2o$6b2o$5b
o3$3o$2bo$bo7$38b2o$38bobo$38bo!

ConwayLife.com

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