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Breeders

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

Breeders

Postby Paul Tooke » October 1st, 2010, 10:49 am

The "super breeders?" topic had the side effect of sparking off some discussion of what the definition of a breeder is. My dissatifaction with the published definitions led me to create a few breeders which challenge these definitions. I have started this topic to share these patterns and hopefully to encourage others to produce similar patterns and/or share their opinions of what a breeder is.

My understanding of the term "breeder" as a class of patterns is: "Any object which creates an unbounded sequence of objects which in turn create an unbounded sequence of objects." Such a pattern may grow quadratically, but I don't see why this is a necessity. Furthermore the classification of existing breeders into four types (MMM, MMS, MSM or SMM) as described in several definitions on the web can mislead the casual reader into thinking that these are the only types possible. They aren't.

As an example of sub-quadratic breeding, I have produced what I would call an SSS-type breeder. The pattern is too large to post, but can be downloaded from here.

The pattern consists of a "Pianola" Universal Constructor complete with an instruction tape for the repeated construction of a slide gun which extends a line of beehives.

The Pianola is a simplified Universal Constructor inspired by Andrew J. Wade's Gemini constructor. It comprises two mirror-image gangs of seven glider guns. Each gun consists of two stable reflectors, one by Paul Callahan, the other by Stephen Silver. These circulate a stream of gliders, duplicating them at the Northern end. The gliders are timed to create volleys of gliders matching those produced by the Chapman-Greene construction arm, but reflected, so that the guns are on the opposite side of the stream.

The slide gun is a Spartan (i.e. built from easily constructible still lifes) gun that fires a salvo of gliders at a block. The result of the collision is to extend a line of beehives, move the block 10 cells diagonally and to send back a glider which is then duplicated several times to produce the next glider salvo. The salvo+block reaction is a variation of that used in Dean Hickerson's "Sqrtgun 10.1". The line of beehives grows at a rate of O(sqrt(t)) and therefore the entire pattern grows at a subquadratic rate.

EDIT: to be ...
Attachments
sss-sqrt-222949376.zip
SSS breeder at generation 222,949,376
(214.49 KiB) Downloaded 392 times
sss-sqrt-19136512.zip
SSS breeder at generation 19,136,512
(185.04 KiB) Downloaded 370 times
sss-sqrt-0.zip
SSS breeder at generation 0
(173.06 KiB) Downloaded 2459 times
Last edited by Paul Tooke on October 3rd, 2010, 1:46 pm, edited 2 times in total.
Paul Tooke
 
Posts: 111
Joined: May 19th, 2010, 7:35 am
Location: Cambridge, UK

Re: Breeders

Postby Paul Tooke » October 1st, 2010, 10:53 am

... continued (I exceeded the maximum character limit)

An SMS-type breeder is also possible. Here is a Pianola pattern that fires block laying switch engines:
#CXRLE Pos=-9429,252
x = 18858, y = 9417
9117b2o$9117b2o$9737b2o$9737b2o34$9131bo594bo$9129b3o594b3o$9105bo22b
o600bo22bo$9093bo11b3o20b2o598b2o20b3o11bo$9091b3o14bo640bo14b3o$9075b
o14bo16b2o640b2o16bo14bo$9075b3o12b2o674b2o12b3o$9078bo700bo$9077b2o
700b2o3$9078b2o698b2o$9078b2o17b2o660b2o17b2o$9097b2o660b2o6$9094b2o
32b2o598b2o32b2o$9094bo20b2o11b2o598b2o11b2o20bo$9095b3o18bo624bo18b
3o$9083bo13bo15b3o626b3o15bo$9082bo8b2o20bo630bo20b2o$9082b3o6bo674b
o$9092b3o45b2o574b2o45b3o$9094bo46bo574bo46bo$9138b3o576b3o$9138bo580b
o4$9100b2o46b2o558b2o46b2o$9100bo42b2o3b2o558b2o3b2o42bo$9081b2o15bo
bo42b2o568b2o42bobo15b2o$9081b2o15b2o658b2o15b2o2$9142b2o12b2o542b2o
12b2o$9143bo5b2o5bo544bo5b2o5bo$9140b3o6b2o6b3o538b3o6b2o6b3o$9140bo
18bo17bo502bo17bo18bo$9175b3o502b3o$9151bo22bo508bo22bo$9139bo11b3o20b
2o506b2o20b3o11bo$9137b3o14bo548bo14b3o$9121bo14bo16b2o548b2o16bo14b
o$9121b3o12b2o582b2o12b3o$9080b2o42bo608bo42b2o$9079bobo41b2o608b2o41b
obo$9079bo698bo$9078b2o698b2o$9124b2o606b2o$9124b2o17b2o568b2o17b2o$
9143b2o568b2o6$9090b2o48b2o32b2o506b2o32b2o48b2o$9090b2o48bo20b2o11b
2o506b2o11b2o20bo48b2o$9102b2o37b3o18bo532bo18b3o37b2o$9102bobo38bo15b
3o534b3o15bo38bobo$9104bo32b2o20bo538bo20b2o32bo$9104b2o31bo582bo31b
2o$9138b3o45b2o482b2o45b3o$9079b2o59bo46bo482bo46bo59b2o$9080bo19b2o
82b3o484b3o82b2o19bo$9080bobo17bo83bo488bo83bo17bobo$9081b2o15bobo656b
obo15b2o$9093bo4b2o658b2o4bo$9092bobo668bobo$9092bobo51b2o46b2o466b2o
46b2o51bobo$9081b2o10bo52bo42b2o3b2o466b2o3b2o42bo52bo10b2o$9080bobo
44b2o15bobo42b2o476b2o42bobo15b2o44bobo$9080bo46b2o15b2o566b2o15b2o46b
o$9079b2o696b2o$9094b2o92b2o12b2o450b2o12b2o92b2o$9094bo94bo5b2o5bo452b
o5b2o5bo94bo$9095b3o88b3o6b2o6b3o446b3o6b2o6b3o88b3o$9097bo88bo18bo16b
o412bo16bo18bo88bo$9220b3o412b3o$9196bo22bo418bo22bo$9184bo11b3o20b2o
416b2o20b3o11bo$9182b3o14bo458bo14b3o$9166bo14bo16b2o458b2o16bo14bo$
9166b3o12b2o492b2o12b3o$9126b2o41bo518bo41b2o$9125bobo40b2o518b2o40b
obo$9125bo606bo$9124b2o606b2o$9169b2o516b2o$9169b2o17b2o478b2o17b2o$
9188b2o478b2o6$9136b2o47b2o32b2o416b2o32b2o47b2o$9136b2o47bo20b2o11b
2o416b2o11b2o20bo47b2o$9148b2o36b3o18bo442bo18b3o36b2o$9148bobo37bo15b
3o444b3o15bo37bobo$9088bo61bo31b2o20bo448bo20b2o31bo$9087bo62b2o30bo
492bo30b2o$9087b3o93b3o45b2o392b2o45b3o$9125b2o58bo46bo392bo46bo58b2o
$9126bo19b2o81b3o394b3o81b2o19bo$9126bobo17bo82bo398bo82bo17bobo$9127b
2o15bobo564bobo15b2o$9139bo4b2o566b2o4bo$9138bobo576bobo$9138bobo50b
2o46b2o376b2o46b2o50bobo$9127b2o10bo51bo42b2o3b2o376b2o3b2o42bo51bo10b
2o$9126bobo43b2o15bobo42b2o386b2o42bobo15b2o43bobo$9126bo45b2o15b2o476b
2o15b2o45bo$9125b2o604b2o$9140b2o91b2o12b2o360b2o12b2o91b2o$9140bo93b
o5b2o5bo362bo5b2o5bo93bo$9141b3o87b3o6b2o6b3o356b3o6b2o6b3o87b3o$9143b
o87bo18bo14bo326bo14bo18bo87bo$9263b3o326b3o$9239bo22bo332bo22bo$9227b
o11b3o20b2o330b2o20b3o11bo$9225b3o14bo372bo14b3o$9209bo14bo16b2o372b
2o16bo14bo$9209b3o12b2o406b2o12b3o$9171b2o39bo432bo39b2o$9170bobo38b
2o432b2o38bobo$9170bo516bo$9169b2o516b2o$9212b2o430b2o$9212b2o17b2o392b
2o17b2o$9231b2o392b2o6$9181b2o45b2o32b2o330b2o32b2o45b2o$9181b2o45bo
20b2o11b2o330b2o11b2o20bo45b2o$9193b2o34b3o18bo356bo18b3o34b2o$9193b
obo35bo15b3o358b3o15bo35bobo$9195bo29b2o20bo362bo20b2o29bo$9195b2o28b
o406bo28b2o$9226b3o45b2o306b2o45b3o$9170b2o56bo46bo306bo46bo56b2o$9171b
o19b2o79b3o308b3o79b2o19bo$9171bobo17bo80bo312bo80bo17bobo$9172b2o15b
obo474bobo15b2o$9184bo4b2o476b2o4bo$9183bobo486bobo$9183bobo48b2o46b
2o290b2o46b2o48bobo$9172b2o10bo49bo42b2o3b2o290b2o3b2o42bo49bo10b2o$
9171bobo41b2o15bobo42b2o300b2o42bobo15b2o41bobo$9171bo43b2o15b2o390b
2o15b2o43bo$9170b2o514b2o$9185b2o89b2o12b2o274b2o12b2o89b2o$9185bo91b
o5b2o5bo276bo5b2o5bo91bo$9186b3o85b3o6b2o6b3o270b3o6b2o6b3o85b3o$9188b
o85bo18bo270bo18bo85bo6$8939bo363bo250bo$8938bo275b2o85b3o250b3o85b2o
$8938b3o272bobo61bo22bo256bo22bo61bobo$9213bo51bo11b3o20b2o254b2o20b
3o11bo51bo$9212b2o49b3o14bo296bo14b3o49b2o$9247bo14bo16b2o296b2o16bo
14bo$9247b3o12b2o330b2o12b3o$9250bo356bo$9249b2o356b2o3$9250b2o354b2o
$9250b2o17b2o316b2o17b2o$9224b2o43b2o316b2o43b2o$9224b2o406b2o$9236b
2o382b2o$9236bobo380bobo$9238bo380bo$9238b2o378b2o$9266b2o32b2o254b2o
32b2o$9213b2o51bo20b2o11b2o254b2o11b2o20bo51b2o$9214bo19b2o31b3o18bo
280bo18b3o31b2o19bo$9214bobo17bo34bo15b3o282b3o15bo34bo17bobo$9215b2o
15bobo28b2o20bo286bo20b2o28bobo15b2o$9227bo4b2o29bo330bo29b2o4bo$9226b
obo35b3o45b2o230b2o45b3o35bobo$9226bobo37bo46bo230bo46bo37bobo$9215b
2o10bo82b3o232b3o82bo10b2o$9214bobo93bo236bo93bobo$9214bo428bo$9213b
2o428b2o$9228b2o398b2o$9228bo43b2o46b2o214b2o46b2o43bo$9229b3o40bo42b
2o3b2o214b2o3b2o42bo40b3o$9231bo21b2o15bobo42b2o224b2o42bobo15b2o21b
o$9253b2o15b2o314b2o15b2o2$9314b2o12b2o198b2o12b2o$9315bo5b2o5bo200b
o5b2o5bo$9312b3o6b2o6b3o194b3o6b2o6b3o$9312bo18bo21bo150bo21bo18bo$9351b
3o150b3o$9327bo22bo156bo22bo$9315bo11b3o20b2o154b2o20b3o11bo$9313b3o
14bo196bo14b3o$9297bo14bo16b2o196b2o16bo14bo$9297b3o12b2o230b2o12b3o
$9252b2o46bo256bo46b2o$9251bobo45b2o256b2o45bobo$9251bo354bo$9250b2o
354b2o$9300b2o254b2o$9300b2o17b2o216b2o17b2o$9319b2o216b2o6$9262b2o52b
2o32b2o154b2o32b2o52b2o$9262b2o52bo20b2o11b2o154b2o11b2o20bo52b2o$9274b
2o41b3o18bo180bo18b3o41b2o$9274bobo42bo15b3o182b3o15bo42bobo$9276bo36b
2o20bo186bo20b2o36bo$9276b2o35bo230bo35b2o$9314b3o45b2o130b2o45b3o$9251b
2o63bo46bo130bo46bo63b2o$9252bo19b2o86b3o132b3o86b2o19bo$9252bobo17b
o87bo136bo87bo17bobo$9253b2o15bobo312bobo15b2o$9265bo4b2o314b2o4bo$9264b
obo324bobo$9264bobo55b2o46b2o114b2o46b2o55bobo$9253b2o10bo56bo42b2o3b
2o114b2o3b2o42bo56bo10b2o$9252bobo48b2o15bobo42b2o124b2o42bobo15b2o48b
obo$9252bo50b2o15b2o214b2o15b2o50bo$9251b2o352b2o$9266b2o96b2o12b2o98b
2o12b2o96b2o$9266bo98bo5b2o5bo100bo5b2o5bo98bo$9267b3o92b3o6b2o6b3o94b
3o6b2o6b3o92b3o$9269bo92bo18bo94bo18bo92bo$8944bo450bo66bo$8943bo449b
3o66b3o$8943b3o423bo22bo72bo22bo$9357bo11b3o20b2o70b2o20b3o11bo$9355b
3o14bo112bo14b3o$9339bo14bo16b2o112b2o16bo14bo$9302b2o35b3o12b2o146b
2o12b3o35b2o$9301bobo38bo172bo38bobo$9301bo39b2o172b2o39bo$9300b2o254b
2o2$9342b2o170b2o$9342b2o17b2o132b2o17b2o$9361b2o132b2o5$9312b2o230b
2o$9312b2o44b2o32b2o70b2o32b2o44b2o$9324b2o32bo20b2o11b2o70b2o11b2o20b
o32b2o$9324bobo32b3o18bo96bo18b3o32bobo$9326bo34bo15b3o98b3o15bo34bo
$9326b2o27b2o20bo102bo20b2o27b2o$9355bo146bo$9301b2o53b3o45b2o46b2o45b
3o53b2o$9302bo19b2o34bo46bo46bo46bo34b2o19bo$9302bobo17bo79b3o48b3o79b
o17bobo$9303b2o15bobo79bo52bo79bobo15b2o$9315bo4b2o214b2o4bo$9314bob
o224bobo$9314bobo224bobo$9303b2o10bo48b2o46b2o30b2o46b2o48bo10b2o$9302b
obo59bo42b2o3b2o30b2o3b2o42bo59bobo$9302bo42b2o15bobo42b2o40b2o42bob
o15b2o42bo$9301b2o42b2o15b2o130b2o15b2o42b2o$9316b2o222b2o$9316bo89b
2o12b2o14b2o12b2o89bo$9317b3o87bo5b2o5bo16bo5b2o5bo87b3o$9319bo84b3o
6b2o6b3o10b3o6b2o6b3o84bo$9404bo18bo10bo18bo7$9344b2o166b2o$9343bobo
166bobo$9343bo170bo$9342b2o170b2o9$9354b2o146b2o$9354b2o146b2o$9366b
2o122b2o$9366bobo120bobo$8795bo572bo120bo$8794bo573b2o118b2o$8794b3o
$9343b2o168b2o$9344bo19b2o126b2o19bo$9344bobo17bo128bo17bobo$9345b2o
15bobo128bobo15b2o$9357bo4b2o130b2o4bo$9356bobo140bobo$9356bobo140bo
bo$9345b2o10bo142bo3b3o4b2o$9344bobo157bo6bobo$9344bo160bo7bo165b3o$
9343b2o168b2o164bo$9358b2o138b2o180bo$9358bo140bo$9359b3o134b3o$9361b
o134bo2$10025b2o$10024b2o$10026bo4$9163b2o$9164b2o$9163bo$9076b2o$9075b
obo$9077bo2$8818b2o$8817bobo791b2o$8819bo791bobo$9611bo$8985b2o$8984b
obo$8986bo14$9081bobo$9081b2o$9082bo90$8651bo$8650bo$8650b3o10$9823b
3o$9823bo$9824bo4$10082b2o$10081b2o86b2o$10083bo84b2o$10170bo4$9019b
3o$9021bo$9020bo4$8761b2o$8674b2o86b2o$8675b2o84bo$8674bo18$8937bobo
$8937b2o$8938bo90$8507bo$8506bo$8506b3o10$9967b3o$9967bo$9968bo4$10226b
2o$10225b2o86b2o$10227bo84b2o$10314bo4$8875b3o$8877bo$8876bo4$8617b2o
$8530b2o86b2o$8531b2o84bo$8530bo18$8793bobo$8793b2o$8794bo56$8826bo$
8824b2o$8825b2o32$8364bo$8362b2o$8363b2o10$10111b3o$10111bo$10112bo4$
10370b2o$10369b2o86b2o$10371bo84b2o$10458bo4$8731b3o$8733bo$8732bo4$
8473b2o$8386b2o86b2o$8387b2o84bo$8386bo18$8649bobo$8649b2o$8650bo18$
8802bobo$8802b2o$8803bo70$8219bo$8218bo$8218b3o10$8379bo1875b3o$8377b
2o1876bo$8378b2o1876bo4$10514b2o$10513b2o86b2o$10515bo84b2o$10602bo31$
8505bobo$8505b2o$8506bo27$8224bo$8223bo$8223b3o17$8374bo$8372b2o$8373b
2o42$8075bo$8074bo$8074b3o10$10399b3o$10399bo$10400bo4$10658b2o$10657b
2o86b2o$10659bo84b2o$10746bo30$8362bo$8361bo$8361b3o28$8080bo$8079bo
$8079b3o61$7931bo$7930bo$7930b3o10$10543b3o$10543bo$10544bo4$10802b2o
$10801b2o86b2o$10803bo84b2o$10890bo31$8217bobo$8217b2o$8218bo27$7936b
o$7935bo$7935b3o61$7787bo$7786bo$7786b3o10$10687b3o$10687bo$10688bo4$
10946b2o$10945b2o86b2o$10947bo84b2o$11034bo31$8073bobo$8073b2o$8074b
o27$7792bo$7791bo$7791b3o61$7643bo$7642bo$7642b3o10$10831b3o$10831bo
$10832bo4$11090b2o$11089b2o86b2o$11091bo84b2o$11178bo31$7929bobo$7929b
2o$7930bo27$7648bo$7647bo$7647b3o61$7499bo$7498bo$7498b3o10$10975b3o
$10975bo$10976bo4$11234b2o$11233b2o86b2o$11235bo84b2o$11322bo31$7785b
obo$7785b2o$7786bo27$7504bo$7503bo$7503b3o61$7355bo$7354bo$7354b3o10$
7736b2o3382b2o$7737b2o3380b2o$7736bo3384bo$7649b2o3556b2o$7648bobo3556b
obo$7650bo3556bo2$7391b2o4072b2o$7390bobo4072bobo$7392bo4072bo2$7558b
2o3738b2o$7557bobo3738bobo$7559bo3738bo27$7641bobo$7641b2o$7642bo27$
7360bo$7359bo$7359b3o61$7211bo$7210bo$7210b3o10$7592b3o3668b3o$7594b
o3668bo$7593bo3670bo5$7247b2o4360b2o$7248b2o4358b2o$7247bo4362bo31$7497b
obo$7497b2o$7498bo27$7216bo$7215bo$7215b3o61$7067bo$7066bo$7066b3o10$
7448b3o3956b3o$7450bo3956bo$7449bo3958bo5$7103b2o4648b2o$7104b2o4646b
2o$7103bo4650bo31$7353bobo$7353b2o$7354bo27$7072bo$7071bo$7071b3o61$
6924bo$6922b2o$6923b2o10$7304b3o4244b3o$7306bo4244bo$7305bo4246bo5$6959b
2o4936b2o$6960b2o4934b2o$6959bo4938bo31$7209bobo$7209b2o$7210bo90$6779b
o$6778bo$6778b3o10$6939bo220b3o4532b3o$6937b2o223bo4532bo$6938b2o221b
o4534bo5$6815b2o5224b2o$6816b2o5222b2o$6815bo5226bo31$7065bobo$7065b
2o$7066bo27$6784bo$6783bo$6783b3o17$6934bo$6932b2o$6933b2o42$6635bo$
6634bo$6634b3o10$7016b3o4820b3o$7018bo4820bo$7017bo4822bo5$6671b2o5512b
2o$6672b2o5510b2o$6671bo5514bo30$6922bo$6921bo$6921b3o28$6640bo$6639b
o$6639b3o61$6491bo$6490bo$6490b3o10$6872b3o5108b3o$6874bo5108bo$6873b
o5110bo5$6527b2o5800b2o$6528b2o5798b2o$6527bo5802bo31$6777bobo$6777b
2o$6778bo27$6496bo$6495bo$6495b3o61$6347bo$6346bo$6346b3o10$6728b3o5396b
3o$6730bo5396bo$6729bo5398bo5$6383b2o6088b2o$6384b2o6086b2o$6383bo6090b
o31$6633bobo$6633b2o$6634bo27$6352bo$6351bo$6351b3o61$6203bo$6202bo$
6202b3o10$6584b3o5684b3o$6586bo5684bo$6585bo5686bo5$6239b2o6376b2o$6240b
2o6374b2o$6239bo6378bo31$6489bobo$6489b2o$6490bo27$6208bo$6207bo$6207b
3o61$6059bo$6058bo$6058b3o10$6440b3o5972b3o$6442bo5972bo$6441bo5974b
o5$6095b2o6664b2o$6096b2o6662b2o$6095bo6666bo31$6345bobo$6345b2o$6346b
o27$6064bo$6063bo$6063b3o61$5915bo$5914bo$5914b3o10$6296b3o6260b3o$6298b
o6260bo$6297bo6262bo5$5951b2o6952b2o$5952b2o6950b2o$5951bo6954bo31$6201b
obo$6201b2o$6202bo27$5920bo$5919bo$5919b3o61$5771bo$5770bo$5770b3o10$
6152b3o6548b3o$6154bo6548bo$6153bo6550bo5$5807b2o7240b2o$5808b2o7238b
2o$5807bo7242bo31$6057bobo$6057b2o$6058bo27$5776bo$5775bo$5775b3o61$
5627bo$5626bo$5626b3o10$12847b3o$12847bo$12848bo5$13193b2o$13192b2o$
13194bo31$5913bobo$5913b2o$5914bo27$5632bo$5631bo$5631b3o61$5483bo$5482b
o$5482b3o10$12991b3o$12991bo$12992bo5$13337b2o$13336b2o$13338bo31$5769b
obo$5769b2o$5770bo27$5488bo$5487bo$5487b3o61$5339bo$5338bo$5338b3o10$
13135b3o$13135bo$13136bo5$13481b2o$13480b2o$13482bo31$5625bobo$5625b
2o$5626bo27$5344bo$5343bo$5343b3o61$5195bo$5194bo8468bo$5194b3o8467b
o$13662b3o9$13279b3o$13279bo$13280bo5$13625b2o$13624b2o$13626bo31$5481b
obo$5481b2o$5482bo27$5200bo$5199bo8458bo$5199b3o8457bo$13657b3o60$5051b
o$5050bo8756bo$5050b3o8755bo$13806b3o9$13423b3o$13423bo$13424bo5$13769b
2o$13768b2o$13770bo31$5337bobo$5337b2o$5338bo27$5056bo$5055bo8746bo$
5055b3o8745bo$13801b3o60$4907bo$4906bo9044bo$4906b3o9043bo$13950b3o9$
13567b3o$13567bo$13568bo5$13913b2o$13912b2o$13914bo31$5193bobo$5193b
2o8468bobo$5194bo8469b2o$13664bo26$4912bo$4911bo9034bo$4911b3o9033bo
$13945b3o60$4763bo$4762bo9332bo$4762b3o9331bo$14094b3o7$13536b3o$13536b
o$13537bo173b3o$13711bo$13712bo5$14057b2o$14056b2o$14058bo4$5131b2o$
5132b2o$5131bo$5044b2o$5043bobo$5045bo2$4786b2o$4785bobo8855b2o$4787b
o8855bobo$13643bo$4953b2o$4952bobo$4954bo14$5049bobo$5049b2o8756bobo
$5050bo8757b2o$13808bo26$4768bo$4767bo9322bo$4767b3o9321bo$14089b3o60$
4619bo$4618bo9620bo$4618b3o9619bo$14238b3o9$13855b3o$13855bo$13856bo
4$14114b2o$14113b2o86b2o$14115bo84b2o$14202bo4$4987b3o$4989bo$4988bo
4$4729b2o$4642b2o86b2o$4643b2o84bo$4642bo18$4905bobo$4905b2o9044bobo
$4906bo9045b2o$13952bo26$4624bo$4623bo9610bo$4623b3o9609bo$14233b3o60$
4475bo$4474bo9908bo$4474b3o9907bo$14382b3o9$13999b3o$13999bo$14000bo
4$14258b2o$14257b2o86b2o$14259bo84b2o$14346bo4$4843b3o$4845bo$4844bo
4$4585b2o$4498b2o86b2o$4499b2o84bo$4498bo18$4761bobo$4761b2o9332bobo
$4762bo9333b2o$14096bo26$4480bo$4479bo9898bo$4479b3o9897bo$14377b3o60$
4331bo$4330bo10196bo$4330b3o10195bo$14526b3o9$14143b3o$14143bo$14144b
o4$14402b2o$14401b2o86b2o$14403bo84b2o$14490bo4$4699b3o$4701bo$4700b
o4$4441b2o$4354b2o86b2o$4355b2o84bo$4354bo18$4617bobo$4617b2o9620bob
o$4618bo9621b2o$14240bo26$4336bo$4335bo10186bo$4335b3o10185bo$14521b
3o60$4187bo$4186bo10484bo$4186b3o10483bo$14670b3o9$14287b3o$14287bo$
14288bo4$14546b2o$14545b2o86b2o$14547bo84b2o$14634bo31$4473bobo$4473b
2o9908bobo$4474bo9909b2o$14384bo26$4192bo$4191bo10474bo$4191b3o10473b
o$14665b3o60$4043bo$4042bo10772bo$4042b3o10771bo$14814b3o9$14431b3o$
14431bo$14432bo4$14690b2o$14689b2o86b2o$14691bo84b2o$14778bo31$4329b
obo$4329b2o10196bobo$4330bo10197b2o$14528bo26$4048bo$4047bo10762bo$4047b
3o10761bo$14809b3o60$3899bo$3898bo11060bo$3898b3o11059bo$14958b3o9$14575b
3o$14575bo$14576bo4$14834b2o$14833b2o86b2o$14835bo84b2o$14922bo31$4185b
obo$4185b2o10484bobo$4186bo10485b2o$14672bo26$3904bo$3903bo11050bo$3903b
3o11049bo$14953b3o60$3755bo$3754bo11348bo$3754b3o11347bo$15102b3o9$14719b
3o$14719bo$14720bo4$14978b2o$14977b2o86b2o$14979bo84b2o$15066bo31$4041b
obo$4041b2o10772bobo$4042bo10773b2o$14816bo26$3760bo$3759bo11338bo$3759b
3o11337bo$15097b3o60$3611bo$3610bo11636bo$3610b3o11635bo$15246b3o9$14863b
3o$14863bo$14864bo4$15122b2o$15121b2o86b2o$15123bo84b2o$15210bo31$3897b
obo$3897b2o11060bobo$3898bo11061b2o$14960bo26$3616bo$3615bo11626bo$3615b
3o11625bo$15241b3o61$3466bobo11922bo$3466b2o11924bo$3467bo11922b3o9$
15007b3o$15007bo$15008bo4$15266b2o$15265b2o86b2o$15267bo84b2o$15354b
o31$3753bobo$3753b2o11348bobo$3754bo11349b2o$15104bo27$15386bo$15387b
o$15385b3o60$3323bo$3322bo12212bo$3322b3o12211bo$15534b3o9$15152b2o$
3481bobo11667b2o$3481b2o219b2o11449bo$3482bo218bobo11535b2o$3703bo11535b
obo$3615bo11623bo$3615b2o$3614bobo11880b2o$15497bobo$3357bo12139bo$3357b
2o$3356bobo11971b2o$15330bobo$3524bo11805bo$3524b2o$3523bobo25$3609b
obo$3609b2o11636bobo$3610bo11637b2o$15248bo27$15530bo$15531bo$15529b
3o17$3476bobo$3476b2o$3477bo41$3179bo$3178bo12499bo$3178b3o12498b2o$
15678b2o9$15295b3o$15295bo$15296bo$3557b3o$3559bo$3558bo$15554b2o$15553b
2o86b2o$15555bo84b2o$15642bo$3212b2o$3213b2o$3212bo28$3465bo$3465bob
o11923bobo$3465b2o11925b2o$15392bo89$3035bo$3034bo12788bo$3034b3o12787b
o$15822b3o9$15439b3o$15439bo223bo$15440bo223b2o$3413b3o12247b2o$3415b
o$3414bo$15698b2o$15697b2o86b2o$15699bo84b2o$15786bo$3068b2o$3069b2o
$3068bo28$3321bobo$3321b2o12212bobo$3322bo12213b2o$15536bo27$15818bo
$15819bo$15817b3o17$15668bo$15669b2o$15668b2o41$2891bo$2890bo13076bo
$2890b3o13075bo$15966b3o9$15583b3o$15583bo$15584bo$3269b3o$3271bo$3270b
o$15842b2o$15841b2o86b2o$15843bo84b2o$15930bo$2924b2o$2925b2o$2924bo
28$3177bobo12500bo$3177b2o12502bo$3178bo12500b3o28$15962bo$15963bo$15961b
3o60$2747bo$2746bo13364bo$2746b3o13363bo$16110b3o9$15727b3o$15727bo$
15728bo$3125b3o$3127bo$3126bo$15986b2o$15985b2o86b2o$15987bo84b2o$16074b
o$2780b2o$2781b2o$2780bo28$3033bobo$3033b2o12788bobo$3034bo12789b2o$
15824bo27$16106bo$16107bo$16105b3o60$2603bo$2602bo13652bo$2602b3o13651b
o$16254b3o9$15871b3o$15871bo$15872bo$2981b3o$2983bo$2982bo$16130b2o$
16129b2o86b2o$16131bo84b2o$16218bo$2636b2o$2637b2o$2636bo28$2889bobo
$2889b2o13076bobo$2890bo13077b2o$15968bo27$16250bo$16251bo$16249b3o60$
2459bo$2458bo13940bo$2458b3o13939bo$16398b3o9$16015b3o$16015bo$16016b
o$2837b3o$2839bo$2838bo$16274b2o$16273b2o86b2o$16275bo84b2o$16362bo$
2492b2o$2493b2o$2492bo28$2745bobo$2745b2o13364bobo$2746bo13365b2o$16112b
o27$16394bo$16395bo$16393b3o60$2316bo$2314b2o14227bo$2315b2o14227bo$
16542b3o9$16159b3o$16159bo$16160bo$2693b3o$2695bo$2694bo$16418b2o$16417b
2o86b2o$16419bo84b2o$16506bo$2348b2o$2349b2o$2348bo28$2601bobo$2601b
2o13652bobo$2602bo13653b2o$16256bo27$16538bo$16539bo$16537b3o60$2171b
o$2170bo14516bo$2170b3o14515bo$16686b3o9$2331bo13971b3o$2329b2o13972b
o$2330b2o13972bo$2549b3o$2551bo$2550bo$16562b2o$16561b2o86b2o$16563b
o84b2o$16650bo$2204b2o$2205b2o$2204bo28$2457bobo$2457b2o13940bobo$2458b
o13941b2o$16400bo26$2176bo$2175bo14506bo$2175b3o14505bo$16681b3o16$2326b
o$2324b2o$2325b2o42$2027bo$2026bo14804bo$2026b3o14803bo$16830b3o9$16447b
3o$16447bo$16448bo$2405b3o$2407bo$2406bo$16706b2o$16705b2o86b2o$16707b
o84b2o$16794bo$2060b2o$2061b2o$2060bo27$2314bo$2313bo$2313b3o14227bo
bo$16544b2o$16544bo26$2032bo$2031bo14794bo$2031b3o14793bo$16825b3o60$
1883bo$1882bo15092bo$1882b3o15091bo$16974b3o9$16591b3o$16591bo$16592b
o$2261b3o$2263bo$2262bo$16850b2o$16849b2o86b2o$16851bo84b2o$16938bo$
1916b2o$1917b2o$1916bo28$2169bobo$2169b2o14516bobo$2170bo14517b2o$16688b
o26$1888bo$1887bo15082bo$1887b3o15081bo$16969b3o60$1739bo$1738bo15380b
o$1738b3o15379bo$17118b3o9$16735b3o$16735bo$16736bo$2117b3o$2119bo$2118b
o$16994b2o$16993b2o86b2o$16995bo84b2o$17082bo$1772b2o$1773b2o$1772bo
28$2025bobo$2025b2o14804bobo$2026bo14805b2o$16832bo26$1744bo$1743bo15370b
o$1743b3o15369bo$17113b3o61$1594bobo15666bo$1594b2o15668bo$1595bo15666b
3o9$16879b3o$16879bo$16880bo$1973b3o$1975bo$1974bo$17138b2o$17137b2o
86b2o$17139bo84b2o$17226bo$1628b2o$1629b2o$1628bo28$1881bobo$1881b2o
15092bobo$1882bo15093b2o$16976bo90$17407bo$17408bo$17406b3o9$17023b3o
$17023bo$17024bo$1829b3o$1831bo$1830bo$17282b2o$17281b2o86b2o$17283b
o84b2o$17370bo$1484b2o$1485b2o$1484bo28$1737bobo$1737b2o15380bobo$1738b
o15381b2o$17120bo90$17551bo$17552bo$17550b3o9$17167b3o$17167bo$17168b
o4$17426b2o$17425b2o86b2o$17427bo84b2o$17514bo31$1593bo$1593bobo15667b
obo$1593b2o15669b2o$17264bo55$1625bo$1624bo15607bo$1624b3o15606b2o$17232b
2o32$17695bo$17696bo$17694b3o9$17311b3o$17311bo$17312bo4$17570b2o$17569b
2o86b2o$17571bo84b2o$17658bo32$17407bobo$17408b2o$17408bo17$1602bo$1602b
obo15649bobo$1602b2o15651b2o$17255bo70$17839bo$17840bo$1582b3o16253b
3o$1584bo$1407b3o173bo$1409bo$1408bo5$1062b2o16392b2o$1063b2o16390b2o
$1062bo16394bo$17543b2o$17543bobo$17543bo2$17801b2o$17801bobo$17801b
o2$17634b2o$17634bobo$17634bo$1476b2o$1475bobo$1477bo25$17551bobo$17552b
2o$17552bo90$17983bo$17984bo$17982b3o2$1263b3o$1265bo$1264bo5$918b2o
16679b3o$919b2o16678bo$918bo16681bo4$17858b2o$17857b2o86b2o$17859bo84b
2o$17946bo32$17695bobo$17696b2o$17696bo90$18127bo$18128bo$18126b3o2$
1119b3o$1121bo$1120bo5$774b2o16967b3o$775b2o16966bo$774bo16969bo4$18002b
2o$18001b2o86b2o$18003bo84b2o$18090bo32$17839bobo$17840b2o$17840bo90$
18271bo$18272bo$1150b3o17117b3o$1152bo$975b3o173bo$977bo$976bo5$630b
2o17256b2o$631b2o17254b2o$630bo17258bo$17975b2o$17975bobo$17975bo2$18233b
2o$18233bobo$18233bo2$18066b2o$18066bobo$18066bo$1044b2o$1043bobo$1045b
o25$17983bobo$17984b2o$17984bo90$18415bo$18416bo$18414b3o2$831b3o$833b
o$832bo4$573b2o$486b2o86b2o17455b3o$487b2o84bo17457bo$486bo17545bo5$
18377b2o$18376b2o$18378bo32$18127bobo$18128b2o$18128bo90$18559bo$18560b
o$18558b3o2$687b3o$689bo$688bo4$429b2o$342b2o86b2o17743b3o$343b2o84b
o17745bo$342bo17833bo5$18521b2o$18520b2o$18522bo32$18271bobo$18272b2o
$18272bo90$18703bo$18704bo$18702b3o2$543b3o$545bo$544bo4$285b2o$198b
2o86b2o18031b3o$199b2o84bo18033bo$198bo18121bo5$18665b2o$18664b2o$18666b
o32$18415bobo$18416b2o$18416bo47$39bo18778bo$39b3o18774b3o$42bo18772b
o$41b2o18772b2o$56b2o18742b2o$56bo18744bo$54bobo18744bobo$43bo10b2o18746b
2o10bo$42bobo18761b2o5bobo$42bobo18760bo2bo4bobo$37b2o4bo18762b2o6bo
4b2o$36bobo15b2o18746b2o15bobo$36bo17bobo18744bobo17bo$35b2o19bo18744b
o19b2o$56b2o18742b2o2$31b2o18792b2o$32bo18792bo$32bobo18788bobo$33b2o
18788b2o$45b2o18764b2o$45b2o18764b2o9$57b2o18740b2o$57bo18742bo$55bo
bo18742bobo$55b2o18744b2o7$85bo18686bo$85b3o18682b3o$88bo18680bo$87b
2o18680b2o$102b2o18650b2o$37b2o15b2o46bo18652bo46b2o15b2o$36bobo15b2o
44bobo18652bobo44b2o15bobo$36bo52bo10b2o18654b2o10bo52bo$35b2o51bobo
18676bobo51b2o$88bobo18676bobo$83b2o4bo18678bo4b2o$82bobo15b2o18654b
2o15bobo$82bo17bobo18652bobo17bo$81b2o19bo18652bo19b2o$42bo59b2o18359b
3o288b2o59bo$42b3o18418bo339b2o8b3o$45bo31b2o18385bo314b2o22b3o6bo$23b
2o19b2o32bo18700bo22bo2bo6b2o19b2o$23bo15bo38bobo18696bobo22b3o13bo15b
o$21bobo15b3o37b2o18696b2o23b3o11b3o15bobo$21b2o19bo48b2o18672b2o48b
o19b2o$41b2o48b2o18672b2o48b2o3$2o18854b2o$2o18854b2o2$38b2o18778b2o
$38b2o17b2o18740b2o17b2o$57b2o18740b2o$103b2o18648b2o$103bo18650bo$58b
2o41bobo18650bobo41b2o$58bo42b2o18652b2o42bo$45b2o12b3o18734b3o12b2o
$28b2o16bo14bo18734bo14bo16b2o$28bo14b3o18766b3o14bo$29b3o11bo18770b
o11b3o$31bo18794bo$10b2o18834b2o$10b2o118bo18596bo118b2o$130b3o18592b
3o$133bo18590bo$132b2o18590b2o$147b2o18560b2o$83b2o15b2o45bo18562bo45b
2o15b2o$82bobo15b2o43bobo18562bobo43b2o15bobo$82bo51bo10b2o18564b2o10b
o51bo$81b2o50bobo18586bobo50b2o$133bobo18586bobo$128b2o4bo18588bo4b2o
$127bobo15b2o18564b2o15bobo$127bo17bobo18562bobo17bo$126b2o19bo18562b
o19b2o$88bo58b2o18560b2o58bo$88b3o18468bobo205b3o$91bo30b2o18436b2o172b
2o30bo$69b2o19b2o31bo18436bo173bo31b2o19b2o$69bo15bo37bobo18606bobo37b
o15bo$67bobo15b3o36b2o18606b2o36b3o15bobo$67b2o19bo47b2o18582b2o47bo
19b2o$87b2o47b2o18582b2o47b2o3$46b2o18762b2o$46b2o18762b2o2$84b2o18686b
2o$84b2o17b2o18648b2o17b2o$103b2o18648b2o$148b2o18558b2o$148bo18560b
o$104b2o40bobo18560bobo40b2o$104bo41b2o18562b2o41bo$91b2o12b3o18642b
3o12b2o$74b2o16bo14bo18642bo14bo16b2o$74bo14b3o18674b3o14bo$75b3o11b
o18678bo11b3o$77bo18702bo$56b2o18742b2o$56b2o115bo18510bo115b2o$173b
3o18506b3o$176bo18504bo$175b2o18504b2o$190b2o18474b2o$128b2o15b2o43b
o18476bo43b2o15b2o$127bobo15b2o41bobo18476bobo41b2o15bobo$127bo49bo10b
2o18478b2o10bo49bo$126b2o48bobo18500bobo48b2o$176bobo18500bobo$171b2o
4bo18502bo4b2o$170bobo15b2o18478b2o15bobo$170bo17bobo18476bobo17bo$169b
2o19bo18476bo19b2o$133bo56b2o18474b2o56bo$133b3o18586b3o$136bo28b2o18524b
2o28bo$114b2o19b2o29bo18524bo29b2o19b2o$114bo15bo35bobo18520bobo35bo
15bo$112bobo15b3o34b2o18520b2o34b3o15bobo$112b2o19bo45b2o18496b2o45b
o19b2o$132b2o45b2o18496b2o45b2o3$91b2o18672b2o$91b2o18672b2o2$129b2o
18596b2o$129b2o17b2o18558b2o17b2o$148b2o18558b2o$191b2o18472b2o$191b
o18474bo$149b2o38bobo18474bobo38b2o$149bo39b2o18476b2o39bo$136b2o12b
3o18552b3o12b2o$119b2o16bo14bo18552bo14bo16b2o$119bo14b3o18584b3o14b
o$120b3o11bo18588bo11b3o$122bo18612bo$101b2o18652b2o$101b2o18652b2o5$
171b2o15b2o18478b2o15b2o$170bobo15b2o21bo18434bo21b2o15bobo$170bo40b
3o18430b3o40bo$169b2o43bo18428bo43b2o$213b2o18428b2o$228b2o18398b2o$
228bo18400bo$226bobo18400bobo$215bo10b2o18402b2o10bo$176bo37bobo18424b
obo37bo$176b3o35bobo18424bobo35b3o$179bo29b2o4bo18426bo4b2o29bo$157b
2o19b2o28bobo15b2o18402b2o15bobo28b2o19b2o$157bo15bo34bo17bobo18400b
obo17bo34bo15bo$155bobo15b3o31b2o19bo18400bo19b2o31b3o15bobo$155b2o19b
o51b2o18398b2o51bo19b2o$175b2o18504b2o$203b2o18448b2o$204bo18448bo$134b
2o68bobo18444bobo68b2o$134b2o69b2o18444b2o69b2o$217b2o18420b2o$172b2o
43b2o18420b2o43b2o$172b2o17b2o18472b2o17b2o$191b2o18472b2o3$192b2o18470b
2o$192bo18472bo$179b2o12b3o18466b3o12b2o$162b2o16bo14bo18466bo14bo16b
2o$162bo14b3o49b2o18396b2o49b3o14bo$163b3o11bo51bo18398bo51bo11b3o$165b
o61bobo18377b3o18bobo61bo$144b2o81b2o18378bo21b2o81b2o$144b2o18462bo
103b2o6$261bo18334bo$261b3o18330b3o$264bo18328bo$263b2o18328b2o$278b
2o18298b2o$209b2o15b2o50bo18300bo50b2o15b2o$208bobo15b2o48bobo18300b
obo48b2o15bobo$208bo56bo10b2o18302b2o10bo56bo$207b2o55bobo18324bobo55b
2o$264bobo18324bobo$259b2o4bo18326bo4b2o$258bobo15b2o18302b2o15bobo$
258bo17bobo18300bobo17bo$257b2o19bo18300bo19b2o$214bo63b2o18298b2o63b
o$214b3o18424b3o$217bo35b2o18348b2o35bo$195b2o19b2o36bo18348bo36b2o19b
2o$195bo15bo42bobo18344bobo42bo15bo$193bobo15b3o41b2o18344b2o41b3o15b
obo$193b2o19bo52b2o18320b2o52bo19b2o$213b2o52b2o18320b2o52b2o3$172b2o
18510b2o$172b2o18510b2o2$210b2o18434b2o$210b2o17b2o18396b2o17b2o$229b
2o18396b2o$279b2o18296b2o$279bo18298bo$230b2o45bobo18298bobo45b2o$230b
o46b2o18300b2o46bo$217b2o12b3o18390b3o12b2o$200b2o16bo14bo18390bo14b
o16b2o$200bo14b3o18422b3o14bo$201b3o11bo18426bo11b3o$203bo18450bo$182b
2o18490b2o$182b2o18490b2o$303bo18250bo$303b3o18246b3o$306bo18244bo$305b
2o18244b2o$259b2o15b2o42b2o18214b2o42b2o15b2o$258bobo15b2o42bo18216b
o42b2o15bobo$258bo59bobo18216bobo59bo$257b2o48bo10b2o18218b2o10bo48b
2o$306bobo18240bobo$306bobo18240bobo$301b2o4bo18242bo4b2o$300bobo15b
2o18218b2o15bobo$300bo17bobo18216bobo17bo$264bo34b2o19bo18216bo19b2o
34bo$264b3o53b2o18214b2o53b3o$267bo18322bo$245b2o19b2o27b2o18264b2o27b
2o19b2o$245bo15bo34bo18264bo34bo15bo$243bobo15b3o32bobo18260bobo32b3o
15bobo$243b2o19bo32b2o18260b2o32bo19b2o$263b2o44b2o18236b2o44b2o$309b
2o18236b2o2$222b2o18410b2o$222b2o18410b2o2$260b2o18334b2o$260b2o17b2o
18296b2o17b2o$279b2o18296b2o2$321b2o18212b2o$280b2o39bo18214bo39b2o$
280bo38bobo18214bobo38bo$267b2o12b3o35b2o18216b2o35b3o12b2o$250b2o16b
o14bo18290bo14bo16b2o$250bo14b3o18322b3o14bo$251b3o11bo18326bo11b3o$
253bo18350bo$232b2o18390b2o$232b2o18390b2o6$301b2o15b2o18218b2o15b2o
$300bobo15b2o18218b2o15bobo$300bo18256bo$299b2o18256b2o6$306bo18244b
o$306b3o18240b3o$309bo18238bo$287b2o19b2o18238b2o19b2o$287bo15bo18250b
o15bo$285bobo15b3o18246b3o15bobo$285b2o19bo18244bo19b2o$305b2o18244b
2o3$264b2o18326b2o$264b2o18326b2o2$302b2o18250b2o$302b2o17b2o18212b2o
17b2o$321b2o18212b2o3$322b2o18210b2o$322bo18212bo$309b2o12b3o18206b3o
12b2o$292b2o16bo14bo18206bo14bo16b2o$292bo14b3o18238b3o14bo$293b3o11b
o18242bo11b3o$295bo18266bo$274b2o18306b2o$274b2o18306b2o!


It was relatively straightforward to modify the construction to fire Type 2 (glider producing) switch engines. This confounds the classification scheme because it is both SMS and SMM.
#CXRLE Pos=-11672,252
x = 23344, y = 11660
11360b2o$11360b2o$11980b2o$11980b2o34$11374bo594bo$11372b3o594b3o$11348b
o22bo600bo22bo$11336bo11b3o20b2o598b2o20b3o11bo$11334b3o14bo640bo14b
3o$11318bo14bo16b2o640b2o16bo14bo$11318b3o12b2o674b2o12b3o$11321bo700b
o$11320b2o700b2o3$11321b2o698b2o$11321b2o17b2o660b2o17b2o$11340b2o660b
2o6$11337b2o32b2o598b2o32b2o$11337bo20b2o11b2o598b2o11b2o20bo$11338b
3o18bo624bo18b3o$11340bo15b3o626b3o15bo$11325bo8b2o20bo630bo20b2o$11324b
o9bo674bo$11324b3o8b3o45b2o574b2o45b3o$11337bo46bo574bo46bo$11381b3o
576b3o$11381bo580bo4$11343b2o46b2o558b2o46b2o$11343bo42b2o3b2o558b2o
3b2o42bo$11324b2o15bobo42b2o568b2o42bobo15b2o$11324b2o15b2o658b2o15b
2o2$11385b2o12b2o542b2o12b2o$11386bo5b2o5bo544bo5b2o5bo$11383b3o6b2o
6b3o538b3o6b2o6b3o$11383bo18bo17bo502bo17bo18bo$11418b3o502b3o$11394b
o22bo508bo22bo$11382bo11b3o20b2o506b2o20b3o11bo$11380b3o14bo548bo14b
3o$11364bo14bo16b2o548b2o16bo14bo$11364b3o12b2o582b2o12b3o$11323b2o42b
o608bo42b2o$11322bobo41b2o608b2o41bobo$11322bo698bo$11321b2o698b2o$11367b
2o606b2o$11367b2o17b2o568b2o17b2o$11386b2o568b2o6$11333b2o48b2o32b2o
506b2o32b2o48b2o$11333b2o48bo20b2o11b2o506b2o11b2o20bo48b2o$11345b2o
37b3o18bo532bo18b3o37b2o$11345bobo38bo15b3o534b3o15bo38bobo$11347bo32b
2o20bo538bo20b2o32bo$11347b2o31bo582bo31b2o$11381b3o45b2o482b2o45b3o
$11322b2o59bo46bo482bo46bo59b2o$11323bo19b2o82b3o484b3o82b2o19bo$11323b
obo17bo83bo488bo83bo17bobo$11324b2o15bobo656bobo15b2o$11336bo4b2o658b
2o4bo$11335bobo668bobo$11335bobo51b2o46b2o466b2o46b2o51bobo$11324b2o
10bo52bo42b2o3b2o466b2o3b2o42bo52bo10b2o$11323bobo44b2o15bobo42b2o476b
2o42bobo15b2o44bobo$11323bo46b2o15b2o566b2o15b2o46bo$11322b2o696b2o$
11337b2o92b2o12b2o450b2o12b2o92b2o$11337bo94bo5b2o5bo452bo5b2o5bo94b
o$11338b3o88b3o6b2o6b3o446b3o6b2o6b3o88b3o$11340bo88bo18bo16bo412bo16b
o18bo88bo$11463b3o412b3o$11439bo22bo418bo22bo$11427bo11b3o20b2o416b2o
20b3o11bo$11425b3o14bo458bo14b3o$11409bo14bo16b2o458b2o16bo14bo$11409b
3o12b2o492b2o12b3o$11369b2o41bo518bo41b2o$11368bobo40b2o518b2o40bobo
$11368bo606bo$11367b2o606b2o$11412b2o516b2o$11412b2o17b2o478b2o17b2o
$11431b2o478b2o6$11379b2o47b2o32b2o416b2o32b2o47b2o$11379b2o47bo20b2o
11b2o416b2o11b2o20bo47b2o$11391b2o36b3o18bo442bo18b3o36b2o$11391bobo
37bo15b3o444b3o15bo37bobo$11393bo31b2o20bo448bo20b2o31bo$11393b2o30b
o492bo30b2o$11426b3o45b2o392b2o45b3o$11368b2o58bo46bo392bo46bo58b2o$
11369bo19b2o81b3o394b3o81b2o19bo$11369bobo17bo82bo398bo82bo17bobo$11370b
2o15bobo564bobo15b2o$11382bo4b2o566b2o4bo$11381bobo576bobo$11381bobo
50b2o46b2o376b2o46b2o50bobo$11370b2o10bo51bo42b2o3b2o376b2o3b2o42bo51b
o10b2o$11369bobo43b2o15bobo42b2o386b2o42bobo15b2o43bobo$11369bo45b2o
15b2o476b2o15b2o45bo$11368b2o604b2o$11383b2o91b2o12b2o360b2o12b2o91b
2o$11383bo93bo5b2o5bo362bo5b2o5bo93bo$11384b3o87b3o6b2o6b3o356b3o6b2o
6b3o87b3o$11386bo87bo18bo14bo326bo14bo18bo87bo$11506b3o326b3o$11482b
o22bo332bo22bo$11470bo11b3o20b2o330b2o20b3o11bo$11468b3o14bo372bo14b
3o$11452bo14bo16b2o372b2o16bo14bo$11452b3o12b2o406b2o12b3o$11414b2o39b
o432bo39b2o$11413bobo38b2o432b2o38bobo$11413bo516bo$11412b2o516b2o$11455b
2o430b2o$11455b2o17b2o392b2o17b2o$11474b2o392b2o6$11424b2o45b2o32b2o
330b2o32b2o45b2o$11424b2o45bo20b2o11b2o330b2o11b2o20bo45b2o$11436b2o
34b3o18bo356bo18b3o34b2o$11436bobo35bo15b3o358b3o15bo35bobo$11438bo29b
2o20bo362bo20b2o29bo$11438b2o28bo406bo28b2o$11469b3o45b2o306b2o45b3o
$11413b2o56bo46bo306bo46bo56b2o$11414bo19b2o79b3o308b3o79b2o19bo$11414b
obo17bo80bo312bo80bo17bobo$11415b2o15bobo474bobo15b2o$11427bo4b2o476b
2o4bo$11426bobo486bobo$11426bobo48b2o46b2o290b2o46b2o48bobo$11415b2o
10bo49bo42b2o3b2o290b2o3b2o42bo49bo10b2o$11414bobo41b2o15bobo42b2o300b
2o42bobo15b2o41bobo$11414bo43b2o15b2o390b2o15b2o43bo$11413b2o514b2o$
11428b2o89b2o12b2o274b2o12b2o89b2o$11428bo91bo5b2o5bo276bo5b2o5bo91b
o$11429b3o85b3o6b2o6b3o270b3o6b2o6b3o85b3o$11431bo85bo18bo270bo18bo85b
o6$11546bo250bo$11182bo274b2o85b3o250b3o85b2o$11180b2o274bobo61bo22b
o256bo22bo61bobo$11181b2o273bo51bo11b3o20b2o254b2o20b3o11bo51bo276bo
$11455b2o49b3o14bo296bo14b3o49b2o276bo$11490bo14bo16b2o296b2o16bo14b
o309b3o$11490b3o12b2o330b2o12b3o$11493bo356bo$11492b2o356b2o3$11493b
2o354b2o$11493b2o17b2o316b2o17b2o$11467b2o43b2o316b2o43b2o$11467b2o406b
2o$11479b2o382b2o$11479bobo380bobo$11481bo380bo$11481b2o378b2o$11509b
2o32b2o254b2o32b2o$11456b2o51bo20b2o11b2o254b2o11b2o20bo51b2o$11457b
o19b2o31b3o18bo280bo18b3o31b2o19bo$11457bobo17bo34bo15b3o282b3o15bo34b
o17bobo$11458b2o15bobo28b2o20bo286bo20b2o28bobo15b2o$11470bo4b2o29bo
330bo29b2o4bo$11469bobo35b3o45b2o230b2o45b3o35bobo$11469bobo37bo46bo
230bo46bo37bobo$11458b2o10bo82b3o232b3o82bo10b2o$11457bobo93bo236bo93b
obo$11457bo428bo$11456b2o428b2o$11471b2o398b2o$11471bo43b2o46b2o214b
2o46b2o43bo$11472b3o40bo42b2o3b2o214b2o3b2o42bo40b3o$11474bo21b2o15b
obo42b2o224b2o42bobo15b2o21bo$11496b2o15b2o314b2o15b2o2$11557b2o12b2o
198b2o12b2o$11558bo5b2o5bo200bo5b2o5bo$11555b3o6b2o6b3o194b3o6b2o6b3o
$11555bo18bo21bo150bo21bo18bo$11594b3o150b3o$11570bo22bo156bo22bo$11558b
o11b3o20b2o154b2o20b3o11bo$11556b3o14bo196bo14b3o$11540bo14bo16b2o196b
2o16bo14bo$11540b3o12b2o230b2o12b3o$11495b2o46bo256bo46b2o$11494bobo
45b2o256b2o45bobo$11494bo354bo$11493b2o354b2o$11543b2o254b2o$11543b2o
17b2o216b2o17b2o$11562b2o216b2o6$11505b2o52b2o32b2o154b2o32b2o52b2o$
11505b2o52bo20b2o11b2o154b2o11b2o20bo52b2o$11517b2o41b3o18bo180bo18b
3o41b2o$11517bobo42bo15b3o182b3o15bo42bobo$11519bo36b2o20bo186bo20b2o
36bo$11519b2o35bo230bo35b2o$11557b3o45b2o130b2o45b3o$11494b2o63bo46b
o130bo46bo63b2o$11495bo19b2o86b3o132b3o86b2o19bo$11495bobo17bo87bo136b
o87bo17bobo$11496b2o15bobo312bobo15b2o$11508bo4b2o314b2o4bo$11507bob
o324bobo$11507bobo55b2o46b2o114b2o46b2o55bobo$11496b2o10bo56bo42b2o3b
2o114b2o3b2o42bo56bo10b2o$11495bobo48b2o15bobo42b2o124b2o42bobo15b2o
48bobo$11495bo50b2o15b2o214b2o15b2o50bo$11494b2o352b2o$11509b2o96b2o
12b2o98b2o12b2o96b2o$11509bo98bo5b2o5bo100bo5b2o5bo98bo$11510b3o92b3o
6b2o6b3o94b3o6b2o6b3o92b3o$11512bo92bo18bo94bo18bo92bo$11638bo66bo$11636b
3o66b3o$11612bo22bo72bo22bo$11600bo11b3o20b2o70b2o20b3o11bo415bo$11598b
3o14bo112bo14b3o414bo$11582bo14bo16b2o112b2o16bo14bo396b3o$11545b2o35b
3o12b2o146b2o12b3o35b2o$11544bobo38bo172bo38bobo$11544bo39b2o172b2o39b
o$11543b2o254b2o2$11585b2o170b2o$11585b2o17b2o132b2o17b2o$11604b2o132b
2o5$11555b2o230b2o$11555b2o44b2o32b2o70b2o32b2o44b2o$11567b2o32bo20b
2o11b2o70b2o11b2o20bo32b2o$11567bobo32b3o18bo96bo18b3o32bobo$11569bo
34bo15b3o98b3o15bo34bo$11569b2o27b2o20bo102bo20b2o27b2o$11598bo146bo
$11544b2o53b3o45b2o46b2o45b3o53b2o$11545bo19b2o34bo46bo46bo46bo34b2o
19bo$11545bobo17bo79b3o48b3o79bo17bobo$11546b2o15bobo79bo52bo79bobo15b
2o$11558bo4b2o214b2o4bo$11557bobo224bobo$11557bobo224bobo$11546b2o10b
o48b2o46b2o30b2o46b2o48bo10b2o$11545bobo59bo42b2o3b2o30b2o3b2o42bo59b
obo$11545bo42b2o15bobo42b2o40b2o42bobo15b2o42bo$11544b2o42b2o15b2o130b
2o15b2o42b2o$11559b2o222b2o$11559bo89b2o12b2o14b2o12b2o89bo$11560b3o
87bo5b2o5bo16bo5b2o5bo87b3o$11562bo84b3o6b2o6b3o10b3o6b2o6b3o84bo$11647b
o18bo10bo18bo7$11587b2o166b2o$11586bobo166bobo$11586bo170bo$11585b2o
170b2o9$11597b2o146b2o$11597b2o146b2o$11609b2o122b2o$11609bobo120bob
o$11611bo120bo$11037bo573b2o118b2o$11036bo$11036b3o547b2o168b2o550bo
$11587bo19b2o126b2o19bo552bo$11587bobo17bo128bo17bobo550b3o$11588b2o
15bobo128bobo15b2o$11600bo4b2o130b2o4bo$11599bobo140bobo$11599bobo140b
obo$11588b2o10bo142bo3b3o4b2o$11587bobo157bo6bobo$11587bo160bo7bo165b
3o$11197bo388b2o168b2o164bo$11195b2o404b2o138b2o180bo$11196b2o403bo140b
o$11602b3o134b3o$11604bo134bo2$12268b2o$12267b2o$12269bo4$11406b2o$11407b
2o$11406bo$11319b2o$11318bobo$11320bo2$11061b2o$11060bobo791b2o$11062b
o791bobo$11854bo$11228b2o$11227bobo$11229bo15$11323bobo$11323b2o$11324b
o27$11042bo$11041bo$11041b3o1259bo$12304bo$12302b3o15$11192bo$11190b
2o$11191b2o43$10892bobo$10892b2o1558bo$10893bo1559bo$12451b3o7$12066b
3o$12066bo$12067bo4$12325b2o$12324b2o86b2o$12326bo84b2o$12413bo4$11262b
3o$11264bo$11263bo4$11004b2o$10917b2o86b2o$10918b2o84bo$10917bo18$11180b
o$11179bo$11179b3o$12164bobo$12165b2o$12165bo27$12447bo$12448bo$12446b
3o59$10749bo$10748bo$10748b3o1845bo$12597bo$12595b3o7$12210b3o$12210b
o$10907bobo1301bo$10907b2o$10908bo2$12469b2o$12468b2o86b2o$12470bo84b
2o$12557bo4$11118b3o$11120bo$11119bo4$10860b2o$10773b2o86b2o$10774b2o
84bo$10773bo19$11035bobo$11035b2o$11036bo1271bobo$12309b2o$12309bo25$
10754bo$10753bo$10753b3o1835bo$12592bo$12590b3o16$10902bobo$10902b2o
$10903bo41$10605bo$10604bo$10604b3o2133bo$12741bo$12739b3o7$12354b3o
$12354bo$12355bo4$12613b2o$12612b2o86b2o$12614bo84b2o$12701bo4$10974b
3o$10976bo$10975bo4$10716b2o$10629b2o86b2o$10630b2o84bo$10629bo19$10891b
o$10891bobo$10891b2o1559bobo$12453b2o$12453bo25$10610bo$10609bo$10609b
3o2123bo$12736bo$12734b3o59$10461bo$10460bo$10460b3o2421bo$12885bo$12883b
3o7$12498b3o$12498bo$12499bo4$12757b2o$12756b2o86b2o$12758bo84b2o$12845b
o32$10747bobo$10747b2o$10748bo1847bobo$12597b2o$12597bo25$10466bo$10465b
o$10465b3o2411bo$12880bo$12878b3o59$10317bo$10316bo$10316b3o2709bo$13029b
o$13027b3o7$12642b3o$12642bo$12643bo4$12901b2o$12900b2o86b2o$12902bo
84b2o$12989bo32$10603bobo$10603b2o$10604bo2135bobo$12741b2o$12741bo25$
10322bo$10321bo$10321b3o2699bo$13024bo$13022b3o59$10173bo$10172bo$10172b
3o2997bo$13173bo$13171b3o7$12786b3o$12786bo$12787bo4$13045b2o$13044b
2o86b2o$13046bo84b2o$13133bo32$10459bobo$10459b2o$10460bo2423bobo$12885b
2o$12885bo25$10178bo$10177bo$10177b3o2987bo$13168bo$13166b3o59$10029b
o$10028bo$10028b3o3285bo$13317bo$13315b3o7$12930b3o$12930bo$12931bo4$
13189b2o$13188b2o86b2o$13190bo84b2o$13277bo32$10315bobo$10315b2o$10316b
o2711bobo$13029b2o$13029bo25$10034bo$10033bo$10033b3o3275bo$13312bo$
13310b3o59$9885bo$9884bo$9884b3o3573bo$13461bo$13459b3o7$13074b3o$13074b
o$13075bo4$13333b2o$13332b2o86b2o$13334bo84b2o$13421bo32$10171bobo$10171b
2o$10172bo2999bobo$13173b2o$13173bo25$9890bo$9889bo$9889b3o3563bo$13456b
o$13454b3o59$9741bo$9740bo$9740b3o3861bo$13605bo$13603b3o7$13218b3o$
13218bo$13219bo4$13477b2o$13476b2o86b2o$13478bo84b2o$13565bo32$10027b
obo$10027b2o$10028bo3287bobo$13317b2o$13317bo25$9746bo$9745bo$9745b3o
3851bo$13600bo$13598b3o59$9597bo$9596bo$9596b3o4149bo$13749bo$13747b
3o7$9979b2o3382b2o$9980b2o3380b2o$9979bo3384bo$9892b2o3556b2o$9891bo
bo3556bobo$9893bo3556bo2$9634b2o4072b2o$9633bobo4072bobo$9635bo4072b
o2$9801b2o3738b2o$9800bobo3738bobo$9802bo3738bo28$9883bobo$9883b2o$9884b
o3575bobo$13461b2o$13461bo25$9602bo$9601bo$9601b3o4139bo$13744bo$13742b
3o59$9453bo$9452bo$9452b3o4437bo$13893bo$13891b3o7$9835b3o3668b3o$9837b
o3668bo$9836bo3670bo5$9490b2o4360b2o$9491b2o4358b2o$9490bo4362bo32$9739b
obo$9739b2o$9740bo3863bobo$13605b2o$13605bo25$9458bo$9457bo$9457b3o4427b
o$13888bo$13886b3o59$9309bo$9308bo$9308b3o4725bo$14037bo$14035b3o7$9691b
3o3956b3o$9693bo3956bo$9692bo3958bo5$9346b2o4648b2o$9347b2o4646b2o$9346b
o4650bo32$9595bobo$9595b2o$9596bo4151bobo$13749b2o$13749bo25$9314bo$
9313bo$9313b3o4715bo$14032bo$14030b3o59$9165bo$9164bo$9164b3o5013bo$
14181bo$14179b3o7$9547b3o4244b3o$9549bo4244bo$9548bo4246bo5$9202b2o4936b
2o$9203b2o4934b2o$9202bo4938bo32$9451bobo$9451b2o$9452bo4439bobo$13893b
2o$13893bo25$9170bo$9169bo$9169b3o5003bo$14176bo$14174b3o59$9022bo$9020b
2o$9021b2o5301bo$14325bo$14323b3o7$9403b3o4532b3o$9405bo4532bo$9404b
o4534bo5$9058b2o5224b2o$9059b2o5222b2o$9058bo5226bo32$9307bobo$9307b
2o$9308bo4727bobo$14037b2o$14037bo27$14319bo$14320bo$14318b3o59$8877b
o$8876bo$8876b3o5589bo$14469bo$14467b3o7$9259b3o4820b3o$9037bo223bo4820b
o$9035b2o223bo4822bo$9036b2o4$8914b2o5512b2o$8915b2o5510b2o$8914bo5514b
o32$9163bobo$9163b2o$9164bo5015bobo$14181b2o$14181bo25$8882bo$8881bo
$8881b3o5579bo$14464bo$14462b3o15$9032bo$9030b2o$9031b2o42$8733bo$8732b
o$8732b3o5877bo$14613bo$14611b3o7$9115b3o5108b3o$9117bo5108bo$9116bo
5110bo5$8770b2o5800b2o$8771b2o5798b2o$8770bo5802bo31$9020bo$9019bo$9019b
3o$14324bobo$14325b2o$14325bo25$8738bo$8737bo$8737b3o5867bo$14608bo$
14606b3o59$8589bo$8588bo$8588b3o6165bo$14757bo$14755b3o7$8971b3o5396b
3o$8973bo5396bo$8972bo5398bo5$8626b2o6088b2o$8627b2o6086b2o$8626bo6090b
o32$8875bobo$8875b2o$8876bo5591bobo$14469b2o$14469bo25$8594bo$8593bo
$8593b3o6155bo$14752bo$14750b3o59$8445bo$8444bo$8444b3o6453bo$14901b
o$14899b3o7$8827b3o5684b3o$8829bo5684bo$8828bo5686bo5$8482b2o6376b2o
$8483b2o6374b2o$8482bo6378bo32$8731bobo$8731b2o$8732bo5879bobo$14613b
2o$14613bo25$8450bo$8449bo$8449b3o6443bo$14896bo$14894b3o59$8301bo$8300b
o$8300b3o6741bo$15045bo$15043b3o7$8683b3o5972b3o$8685bo5972bo$8684bo
5974bo5$8338b2o6664b2o$8339b2o6662b2o$8338bo6666bo32$8587bobo$8587b2o
$8588bo6167bobo$14757b2o$14757bo25$8306bo$8305bo$8305b3o6731bo$15040b
o$15038b3o59$8157bo$8156bo$8156b3o7029bo$15189bo$15187b3o7$8539b3o6260b
3o$8541bo6260bo$8540bo6262bo5$8194b2o6952b2o$8195b2o6950b2o$8194bo6954b
o32$8443bobo$8443b2o$8444bo6455bobo$14901b2o$14901bo25$8162bo$8161bo
$8161b3o7019bo$15184bo$15182b3o59$8013bo$8012bo$8012b3o7317bo$15333b
o$15331b3o7$8395b3o6548b3o$8397bo6548bo$8396bo6550bo5$8050b2o7240b2o
$8051b2o7238b2o$8050bo7242bo32$8299bobo$8299b2o$8300bo6743bobo$15045b
2o$15045bo25$8018bo$8017bo$8017b3o7307bo$15328bo$15326b3o59$7869bo$7868b
o$7868b3o7605bo$15477bo$15475b3o7$15090b3o$15090bo$15091bo5$15436b2o
$15435b2o$15437bo32$8155bobo$8155b2o$8156bo7031bobo$15189b2o$15189bo
25$7874bo$7873bo$7873b3o7595bo$15472bo$15470b3o59$7725bo$7724bo$7724b
3o7893bo$15621bo$15619b3o7$15234b3o$15234bo$15235bo5$15580b2o$15579b
2o$15581bo32$8011bobo$8011b2o$8012bo7319bobo$15333b2o$15333bo25$7730b
o$7729bo$7729b3o7883bo$15616bo$15614b3o59$7581bo$7580bo$7580b3o8181b
o$15765bo$15763b3o7$15378b3o$15378bo$15379bo5$15724b2o$15723b2o$15725b
o32$7867bobo$7867b2o$7868bo7607bobo$15477b2o$15477bo25$7586bo$7585bo
$7585b3o8171bo$15760bo$15758b3o59$7437bo$7436bo$7436b3o8469bo$15909b
o$15907b3o7$15522b3o$15522bo$15523bo5$15868b2o$15867b2o$15869bo32$7723b
obo$7723b2o$7724bo7895bobo$15621b2o$15621bo25$7442bo$7441bo$7441b3o8459b
o$15904bo$15902b3o59$7293bo$7292bo$7292b3o8757bo$16053bo$16051b3o7$15666b
3o$15666bo$15667bo5$16012b2o$16011b2o$16013bo32$7579bobo$7579b2o$7580b
o8183bobo$15765b2o$15765bo25$7298bo$7297bo$7297b3o8747bo$16048bo$16046b
3o59$7149bo$7148bo$7148b3o9045bo$16197bo$16195b3o7$15810b3o$15810bo$
15811bo5$16156b2o$16155b2o$16157bo32$7435bobo$7435b2o$7436bo8471bobo
$15909b2o$15909bo25$7154bo$7153bo$7153b3o9035bo$16192bo$16190b3o59$7006b
o$7004b2o$7005b2o9333bo$16341bo$16339b3o5$15779b3o$15779bo$15780bo173b
3o$15954bo$15955bo5$16300b2o$16299b2o$16301bo4$7374b2o$7375b2o$7374b
o$7287b2o$7286bobo$7288bo2$7029b2o$7028bobo8855b2o$7030bo8855bobo$15886b
o$7196b2o$7195bobo$7197bo15$7291bobo$7291b2o$7292bo8759bobo$16053b2o
$16053bo27$16335bo$16336bo$16334b3o59$6861bo$6860bo$6860b3o9621bo$16485b
o$16483b3o7$16098b3o$16098bo$16099bo4$16357b2o$16356b2o86b2o$16358bo
84b2o$16445bo4$7230b3o$7232bo$7231bo4$6972b2o$6885b2o86b2o$6886b2o84b
o$6885bo19$7147bobo$7147b2o$7148bo9047bobo$16197b2o$16197bo25$6866bo
$6865bo$6865b3o9611bo$16480bo$16478b3o59$6717bo$6716bo$6716b3o9909bo
$16629bo$16627b3o7$16242b3o$16242bo$16243bo4$16501b2o$16500b2o86b2o$
16502bo84b2o$16589bo4$7086b3o$7088bo$7087bo4$6828b2o$6741b2o86b2o$6742b
2o84bo$6741bo18$7004bo$7003bo$7003b3o$16340bobo$16341b2o$16341bo25$6722b
o$6721bo$6721b3o9899bo$16624bo$16622b3o25$7035bo$7035bobo$7035b2o32$
6573bo$6572bo$6572b3o10197bo$16773bo$16771b3o7$16386b3o$16386bo$16387b
o4$16645b2o$16644b2o86b2o$16646bo84b2o$16733bo4$6942b3o$6944bo$6943b
o4$6684b2o$6597b2o86b2o$6598b2o84bo$6597bo19$6859bobo$6859b2o$6860bo
9623bobo$16485b2o$16485bo15$7013bo$7012bo$7012b3o8$6578bo$6577bo$6577b
3o10187bo$16768bo$16766b3o59$6429bo$6428bo$6428b3o10485bo$16917bo$16915b
3o7$16530b3o$16530bo$16531bo4$16789b2o$16788b2o86b2o$16790bo84b2o$16877b
o32$6715bobo$6715b2o$6716bo9911bobo$16629b2o$16629bo25$6434bo$6433bo
$6433b3o10475bo$16912bo$16910b3o60$6284bo$6284bobo10773bo$6284b2o10775b
o$17059b3o7$16674b3o$16674bo$16675bo4$16933b2o$16932b2o86b2o$16934bo
84b2o$17021bo32$6571bobo$6571b2o$6572bo10199bobo$16773b2o$16773bo27$
17055bo$17056bo$17054b3o60$6140bo$6139bo11064bo$6139b3o11063bo$17203b
3o7$16818b3o$16818bo$6299bo10519bo$6299bobo$6299b2o2$17077b2o$17076b
2o86b2o$17078bo84b2o$17165bo32$6427bobo$6427b2o$6428bo10487bobo$16917b
2o$16917bo27$17199bo$17200bo$17198b3o16$6294bo$6294bobo$6294b2o42$5996b
o$5995bo11352bo$5995b3o11351bo$17347b3o7$16962b3o$16962bo$16963bo4$17221b
2o$17220b2o86b2o$17222bo84b2o$17309bo32$6284bo$6282b2o$6283b2o10775b
obo$17061b2o$17061bo27$17343bo$17344bo$17342b3o60$5852bo$5851bo11640b
o$5851b3o11639bo$17491b3o7$17106b3o$17106bo$17107bo4$17365b2o$17364b
2o86b2o$17366bo84b2o$17453bo33$6138bobo$6138b2o11064bobo$6139bo11065b
2o$17205bo27$17487bo$17488bo$17486b3o60$5708bo$5707bo11928bo$5707b3o
11927bo$17635b3o7$17250b3o$17250bo$17251bo4$17509b2o$17508b2o86b2o$17510b
o84b2o$17597bo33$5994bobo$5994b2o11352bobo$5995bo11353b2o$17349bo27$
17631bo$17632bo$17630b3o60$5564bo$5563bo12216bo$5563b3o12215bo$17779b
3o7$17395b2o$17394b2o$5945b2o11449bo$5944bobo11535b2o$5946bo11535bob
o$5858bo11623bo$5858b2o$5857bobo11880b2o$17740bobo$5600bo12139bo$5600b
2o$5599bobo11971b2o$17573bobo$5767bo11805bo$5767b2o$5766bobo27$5850b
obo$5850b2o11640bobo$5851bo11641b2o$17493bo27$17775bo$17776bo$17774b
3o60$5420bo$5419bo12504bo$5419b3o12503bo$17923b3o7$17538b3o$17538bo$
17539bo$5800b3o$5802bo$5801bo$17797b2o$17796b2o86b2o$17798bo84b2o$17885b
o$5455b2o$5456b2o$5455bo30$5706bobo$5706b2o11928bobo$5707bo11929b2o$
17637bo27$17919bo$17920bo$17918b3o60$5277bo$5275b2o12791bo$5276b2o12791b
o$18067b3o7$17682b3o$17682bo$17683bo4$17941b2o$17940b2o86b2o$17942bo
84b2o$18029bo33$5562bobo$5562b2o12216bobo$5563bo12217b2o$17781bo27$18063b
o$18064bo$18062b3o26$5595bo$5593b2o$5594b2o32$5132bo$5131bo13080bo$5131b
3o13079bo$18211b3o7$17826b3o$17826bo$5292bo12534bo$5290b2o$5291b2o2$
18085b2o$18084b2o86b2o$18086bo84b2o$18173bo33$5418bobo$5418b2o12504b
obo$5419bo12505b2o$17925bo17$5571bobo$5571b2o$5572bo8$18207bo$18208b
o$18206b3o16$5287bo$5285b2o$5286b2o42$4988bo$4987bo13368bo$4987b3o13367b
o$18355b3o7$17970b3o$17970bo$17971bo4$18229b2o$18228b2o86b2o$18230bo
84b2o$18317bo32$5275bo$5274bo$5274b3o12791bobo$18069b2o$18069bo27$18351b
o$18352bo$18350b3o60$4844bo$4843bo13656bo$4843b3o13655bo$18499b3o7$18114b
3o$18114bo$18115bo4$18373b2o$18372b2o86b2o$18374bo84b2o$18461bo33$5130b
obo$5130b2o13080bobo$5131bo13081b2o$18213bo27$18495bo$18496bo$18494b
3o60$4700bo$4699bo13944bo$4699b3o13943bo$18643b3o7$18258b3o$18258bo$
18259bo4$18517b2o$18516b2o86b2o$18518bo84b2o$18605bo33$4986bobo$4986b
2o13368bobo$4987bo13369b2o$18357bo27$18639bo$18640bo$18638b3o60$4556b
o$4555bo14232bo$4555b3o14231bo$18787b3o7$18402b3o$18402bo$18403bo4$18661b
2o$18660b2o86b2o$18662bo84b2o$18749bo33$4842bobo$4842b2o13656bobo$4843b
o13657b2o$18501bo27$18783bo$18784bo$18782b3o60$4412bo$4411bo14520bo$
4411b3o14519bo$18931b3o7$18546b3o$18546bo$18547bo4$18805b2o$18804b2o
86b2o$18806bo84b2o$18893bo33$4698bobo$4698b2o13944bobo$4699bo13945b2o
$18645bo27$18927bo$18928bo$18926b3o60$4268bo$4267bo14808bo$4267b3o14807b
o$19075b3o7$18690b3o$18690bo$18691bo4$18949b2o$18948b2o86b2o$18950bo
84b2o$19037bo33$4554bobo$4554b2o14232bobo$4555bo14233b2o$18789bo27$19071b
o$19072bo$19070b3o60$4124bo$4123bo15096bo$4123b3o15095bo$19219b3o7$18834b
3o$18834bo$18835bo4$19093b2o$19092b2o86b2o$19094bo84b2o$19181bo33$4410b
obo$4410b2o14520bobo$4411bo14521b2o$18933bo27$19215bo$19216bo$19214b
3o60$3980bo$3979bo15384bo$3979b3o15383bo$19363b3o5$18803b3o$18803bo$
18804bo173b3o$18978bo$18979bo5$19324b2o$19323b2o$19325bo4$4350b2o$4351b
2o$4350bo$4263b2o$4262bobo$4264bo2$4005b2o$4004bobo14903b2o$4006bo14903b
obo$18910bo$4172b2o$4171bobo$4173bo16$4266bobo$4266b2o14808bobo$4267b
o14809b2o$19077bo27$19359bo$19360bo$19358b3o60$3836bo$3835bo15672bo$
3835b3o15671bo$19507b3o7$19122b3o$19122bo$19123bo4$19381b2o$19380b2o
86b2o$19382bo84b2o$19469bo4$4206b3o$4208bo$4207bo5$3861b2o$3862b2o$3861b
o20$4122bobo$4122b2o15096bobo$4123bo15097b2o$19221bo27$19503bo$19504b
o$19502b3o60$3692bo$3691bo15960bo$3691b3o15959bo$19651b3o7$19266b3o$
19266bo$19267bo4$19525b2o$19524b2o86b2o$19526bo84b2o$19613bo4$4062b3o
$4064bo$4063bo5$3717b2o$3718b2o$3717bo20$3978bobo$3978b2o15384bobo$3979b
o15385b2o$19365bo27$19647bo$19648bo$19646b3o60$3548bo$3547bo16248bo$
3547b3o16247bo$19795b3o7$19410b3o$19410bo$19411bo4$19669b2o$19668b2o
86b2o$19670bo84b2o$19757bo4$3918b3o$3920bo$3919bo5$3573b2o$3574b2o$3573b
o20$3834bobo$3834b2o15672bobo$3835bo15673b2o$19509bo26$3553bo$3552bo
16238bo$3552b3o16237bo$19790b3o60$3404bo$3403bo16536bo$3403b3o16535b
o$19939b3o7$19554b3o$19554bo$19555bo4$19813b2o$19812b2o86b2o$19814bo
84b2o$19901bo4$3774b3o$3776bo$3775bo5$3429b2o$3430b2o$3429bo20$3690b
obo$3690b2o15960bobo$3691bo15961b2o$19653bo26$3409bo$3408bo16526bo$3408b
3o16525bo$19934b3o26$3723bo$3721b2o$3722b2o32$3260bo$3259bo16824bo$3259b
3o16823bo$20083b3o7$19698b3o$19698bo$19699bo4$19957b2o$19956b2o86b2o
$19958bo84b2o$20045bo4$3630b3o$3632bo$3631bo5$3285b2o$3286b2o$3285bo
20$3546bobo$3546b2o16248bobo$3547bo16249b2o$19797bo17$3699bobo$3699b
2o$3700bo7$3265bo$3264bo16814bo$3264b3o16813bo$20078b3o60$3116bo$3115b
o17112bo$3115b3o17111bo$20227b3o7$19842b3o$19842bo$19843bo4$20101b2o
$20100b2o86b2o$20102bo84b2o$20189bo4$3486b3o$3488bo$3487bo5$3141b2o$
3142b2o$3141bo20$3402bobo$3402b2o16536bobo$3403bo16537b2o$19941bo27$
20223bo$20224bo$20222b3o60$2972bo$2971bo17400bo$2971b3o17399bo$20371b
3o7$19986b3o$19986bo$19987bo4$20245b2o$20244b2o86b2o$20246bo84b2o$20333b
o4$3342b3o$3344bo$3343bo5$2997b2o$2998b2o$2997bo20$3258bobo$3258b2o16824b
obo$3259bo16825b2o$20085bo26$2977bo$2976bo17390bo$2976b3o17389bo$20366b
3o60$2828bo$2827bo17688bo$2827b3o17687bo$20515b3o20$3198b3o$3200bo$3199b
o5$2853b2o$2854b2o$2853bo20$3114bobo$3114b2o17112bobo$3115bo17113b2o
$20229bo26$2833bo$2832bo17678bo$2832b3o17677bo$20510b3o26$3147bo$3145b
2o$3146b2o32$2684bo$2683bo17976bo$2683b3o17975bo$20659b3o20$3054b3o$
3056bo$3055bo5$2709b2o$2710b2o$2709bo20$2970bobo$2970b2o17400bobo$2971b
o17401b2o$20373bo17$3123bobo$3123b2o$3124bo7$2689bo$2688bo17966bo$2688b
3o17965bo$20654b3o60$2540bo$2539bo18264bo$2539b3o18263bo$20803b3o20$
2910b3o$2912bo$2911bo5$2565b2o$2566b2o$2565bo20$2826bobo$2826b2o17688b
obo$2827bo17689b2o$20517bo26$2545bo$2544bo18254bo$2544b3o18253bo$20798b
3o60$2396bo$2395bo18552bo$2395b3o18551bo$20947b3o20$2766b3o$2768bo$2767b
o5$2421b2o$2422b2o$2421bo20$2682bobo$2682b2o17976bobo$2683bo17977b2o
$20661bo26$2401bo$2400bo18542bo$2400b3o18541bo$20942b3o60$2252bo$2251b
o18840bo$2251b3o18839bo$21091b3o20$2622b3o$2624bo$2623bo5$2277b2o$2278b
2o$2277bo20$2538bobo$2538b2o18264bobo$2539bo18265b2o$20805bo26$2257b
o$2256bo18830bo$2256b3o18829bo$21086b3o60$2108bo$2107bo19128bo$2107b
3o19127bo$21235b3o20$2478b3o$2480bo$2479bo5$2133b2o$2134b2o$2133bo20$
2394bobo$2394b2o18552bobo$2395bo18553b2o$20949bo26$2113bo$2112bo19118b
o$2112b3o19117bo$21230b3o60$1964bo$1963bo19415bo$1963b3o19414b2o$21379b
2o20$2334b3o$2336bo$2335bo5$1989b2o$1990b2o$1989bo20$2250bobo$2250b2o
18840bobo$2251bo18841b2o$21093bo26$1969bo$1968bo$1968b3o61$1820bo$1819b
o19704bo$1819b3o19703bo$21523b3o10$21364bo$21365b2o$21364b2o6$2365b3o
$2367bo$2190b3o173bo$2192bo$2191bo5$1845b2o19312b2o$1846b2o19310b2o$
1845bo19314bo$21246b2o$21246bobo$21246bo2$21504b2o$21504bobo$21504bo
2$21337b2o$21337bobo$21337bo$2259b2o$2258bobo$2260bo6$2106bobo$2106b
2o19128bobo$2107bo19129b2o$21237bo26$1825bo$1824bo19694bo$1824b3o19693b
o$21518b3o17$21369bo$21370b2o$21369b2o41$1676bo$1675bo19992bo$1675b3o
19991bo$21667b3o20$2046b3o$2048bo$2047bo4$1788b2o$1701b2o86b2o19511b
3o$1702b2o84bo19513bo$1701bo19601bo5$21648b2o$21647b2o$21649bo13$1962b
obo19416bo$1962b2o19418bo$1963bo19416b3o27$1681bo$1680bo19982bo$1680b
3o19981bo$21662b3o60$1532bo$1531bo20280bo$1531b3o20279bo$21811b3o20$
1902b3o$1904bo$1903bo4$1644b2o$1557b2o86b2o19799b3o$1558b2o84bo19801b
o$1557bo19889bo5$21792b2o$21791b2o$21793bo13$1818bobo$1818b2o19704bo
bo$1819bo19705b2o$21525bo26$1537bo$1536bo20270bo$1536b3o20269bo$21806b
3o60$1388bo$1387bo20568bo$1387b3o20567bo$21955b3o20$1758b3o$1760bo$1759b
o4$1500b2o$1413b2o86b2o20087b3o$1414b2o84bo20089bo$1413bo20177bo5$21936b
2o$21935b2o$21937bo13$1674bobo$1674b2o19992bobo$1675bo19993b2o$21669b
o26$1393bo$1392bo20558bo$1392b3o20557bo$21950b3o60$1244bo$1243bo20856b
o$1243b3o20855bo$22099b3o27$21734b3o$21734bo$21735bo5$22080b2o$22079b
2o$22081bo13$1530bobo$1530b2o20280bobo$1531bo20281b2o$21813bo26$1249b
o$1248bo20846bo$1248b3o20845bo$22094b3o60$1101bo$1099b2o21143bo$1100b
2o21143bo$22243b3o27$21878b3o$21878bo$21879bo5$22224b2o$22223b2o$22225b
o13$1386bobo$1386b2o20568bobo$1387bo20569b2o$21957bo27$22239bo$22240b
o$22238b3o60$956bo$955bo21432bo$955b3o21431bo$22387b3o9$1116bo$1114b
2o$1115b2o16$22022b3o$22022bo$22023bo5$22368b2o$22367b2o$22369bo13$1242b
obo$1242b2o20856bobo$1243bo20857b2o$22101bo26$961bo$960bo21422bo$960b
3o21421bo$22382b3o16$1111bo$1109b2o$1110b2o42$812bo$811bo21720bo$811b
3o21719bo$22531b3o27$22166b3o$22166bo$22167bo5$22512b2o$22511b2o$22513b
o12$1099bo$1098bo$1098b3o21143bobo$22245b2o$22245bo26$817bo$816bo21710b
o$816b3o21709bo$22526b3o60$668bo$667bo22008bo$667b3o22007bo$22675b3o
27$22310b3o$22310bo$22311bo5$22656b2o$22655b2o$22657bo13$954bobo$954b
2o21432bobo$955bo21433b2o$22389bo26$673bo$672bo21998bo$672b3o21997bo
$22670b3o60$524bo$523bo22296bo$523b3o22295bo$22819b3o27$22454b3o$22454b
o$22455bo5$22800b2o$22799b2o$22801bo13$810bobo$810b2o21720bobo$811bo
21721b2o$22533bo26$529bo$528bo22286bo$528b3o22285bo$22814b3o61$379bo
bo22582bo$379b2o22584bo$380bo22582b3o27$22598b3o$22598bo$22599bo5$22944b
2o$22943b2o$22945bo13$666bobo$666b2o22008bobo$667bo22009b2o$22677bo90$
23108bo$23109bo$23107b3o27$22742b3o$22742bo$22743bo5$23088b2o$23087b
2o$23089bo13$522bobo$522b2o22296bobo$523bo22297b2o$22821bo90$23252bo
$23253bo$23251b3o27$22886b3o$22886bo$22887bo5$23232b2o$23231b2o$39bo
23193bo70bo$39b3o23260b3o$42bo23258bo$41b2o23258b2o$56b2o23228b2o$56b
o23230bo$54bobo23230bobo$43bo10b2o23232b2o10bo$42bobo23254bobo$42bob
o23254bobo$37b2o4bo23256bo4b2o$36bobo15b2o23232b2o15bobo$36bo17bobo23230b
obo17bo$35b2o19bo321bo22908bo19b2o$56b2o320bobo22583bobo319b2o$378b2o
22585b2o$31b2o22932bo345b2o$32bo23278bo$32bobo23274bobo$33b2o23274b2o
$45b2o23250b2o$45b2o23250b2o9$57b2o23226b2o$57bo23228bo$55bobo23228b
obo$55b2o23230b2o7$85bo23172bo$85b3o23168b3o$88bo23166bo$87b2o23166b
2o$102b2o23136b2o$37b2o15b2o46bo23138bo46b2o15b2o$36bobo15b2o44bobo23138b
obo44b2o15bobo$36bo52bo10b2o23140b2o10bo52bo$35b2o51bobo23162bobo51b
2o$88bobo23162bobo$83b2o4bo23164bo4b2o$82bobo15b2o23140b2o15bobo$82b
o17bobo23138bobo17bo$81b2o19bo23138bo19b2o$42bo59b2o23136b2o59bo$42b
3o23254b3o$45bo31b2o23186b2o31bo$23b2o19b2o32bo23186bo32b2o19b2o$23b
o15bo38bobo23182bobo38bo15bo$21bobo15b3o37b2o23182b2o37b3o15bobo$21b
2o19bo48b2o23158b2o48bo19b2o$41b2o48b2o23158b2o48b2o3$2o23340b2o$2o23340b
2o2$38b2o23264b2o$38b2o17b2o23226b2o17b2o$57b2o23226b2o$103b2o23134b
2o$103bo306bo22829bo$58b2o41bobo305bo22523bo306bobo41b2o$58bo42b2o306b
3o22522b2o305b2o42bo$45b2o12b3o22871b2o347b3o12b2o$28b2o16bo14bo23220b
o14bo16b2o$28bo14b3o23252b3o14bo$29b3o11bo23256bo11b3o$31bo23280bo$10b
2o23320b2o$10b2o118bo23082bo118b2o$130b3o23078b3o$133bo23076bo$132b2o
23076b2o$147b2o23046b2o$83b2o15b2o45bo23048bo45b2o15b2o$82bobo15b2o43b
obo23048bobo43b2o15bobo$82bo51bo10b2o23050b2o10bo51bo$81b2o50bobo23072b
obo50b2o$133bobo23072bobo$128b2o4bo23074bo4b2o$127bobo15b2o23050b2o15b
obo$127bo17bobo23048bobo17bo$126b2o19bo23048bo19b2o$88bo58b2o23046b2o
58bo$88b3o23162b3o$91bo30b2o23096b2o30bo$69b2o19b2o31bo23096bo31b2o19b
2o$69bo15bo37bobo23092bobo37bo15bo$67bobo15b3o36b2o23092b2o36b3o15bo
bo$67b2o19bo47b2o23068b2o47bo19b2o$87b2o47b2o23068b2o47b2o3$46b2o23248b
2o$46b2o23248b2o2$84b2o23172b2o$84b2o17b2o23134b2o17b2o$103b2o23134b
2o$148b2o23044b2o$148bo23046bo$104b2o40bobo23046bobo40b2o$104bo41b2o
23048b2o41bo$91b2o12b3o23128b3o12b2o$74b2o16bo14bo23128bo14bo16b2o$74b
o14b3o23160b3o14bo$75b3o11bo23164bo11b3o$77bo23188bo$56b2o23228b2o$56b
2o115bo22996bo115b2o$173b3o22992b3o$176bo22990bo$175b2o22990b2o$190b
2o22960b2o$128b2o15b2o43bo22962bo43b2o15b2o$127bobo15b2o41bobo22962b
obo41b2o15bobo$127bo49bo10b2o22964b2o10bo49bo$126b2o48bobo22986bobo48b
2o$176bobo22986bobo$171b2o4bo22988bo4b2o$170bobo15b2o22964b2o15bobo$
170bo17bobo22962bobo17bo$169b2o19bo22962bo19b2o$133bo56b2o22960b2o56b
o$133b3o22894b3o175b3o$136bo28b2o22863bo146b2o28bo$114b2o19b2o29bo22864b
o145bo29b2o19b2o$114bo15bo35bobo23006bobo35bo15bo$112bobo15b3o34b2o23006b
2o34b3o15bobo$112b2o19bo45b2o22982b2o45bo19b2o$132b2o45b2o22982b2o45b
2o3$91b2o23158b2o$91b2o23158b2o2$129b2o23082b2o$129b2o17b2o23044b2o17b
2o$148b2o23044b2o$191b2o22958b2o$191bo22960bo$149b2o38bobo22960bobo38b
2o$149bo39b2o22962b2o39bo$136b2o12b3o23038b3o12b2o$119b2o16bo14bo23038b
o14bo16b2o$119bo14b3o23070b3o14bo$120b3o11bo23074bo11b3o$122bo22985b
obo110bo$101b2o23006b2o130b2o$101b2o23006bo131b2o5$171b2o15b2o22964b
2o15b2o$170bobo15b2o21bo22920bo21b2o15bobo$170bo40b3o22916b3o40bo$169b
2o43bo22914bo43b2o$213b2o22914b2o$228b2o22884b2o$228bo22886bo$226bob
o22886bobo$215bo10b2o22888b2o10bo$176bo37bobo22910bobo37bo$176b3o35b
obo22910bobo35b3o$179bo29b2o4bo22912bo4b2o29bo$157b2o19b2o28bobo15b2o
159bo22728b2o15bobo28b2o19b2o$157bo15bo34bo17bobo158bobo22565bobo157b
obo17bo34bo15bo$155bobo15b3o31b2o19bo158b2o22567b2o157bo19b2o31b3o15b
obo$155b2o19bo51b2o22726bo157b2o51bo19b2o$175b2o22990b2o$203b2o22934b
2o$204bo22934bo$134b2o68bobo22930bobo68b2o$134b2o69b2o22930b2o69b2o$
217b2o22906b2o$172b2o43b2o22906b2o43b2o$172b2o17b2o22958b2o17b2o$191b
2o22958b2o3$192b2o22956b2o$192bo22958bo$179b2o12b3o22952b3o12b2o$162b
2o16bo14bo22952bo14bo16b2o$162bo14b3o49b2o22882b2o49b3o14bo$163b3o11b
o51bo22884bo51bo11b3o$165bo61bobo22884bobo61bo$144b2o81b2o22886b2o81b
2o$144b2o23052b2o6$261bo22820bo$261b3o22816b3o$264bo22814bo$263b2o22814b
2o$278b2o22784b2o$209b2o15b2o50bo22786bo50b2o15b2o$208bobo15b2o48bob
o22786bobo48b2o15bobo$208bo56bo10b2o22788b2o10bo56bo$207b2o55bobo22810b
obo55b2o$264bobo22810bobo$259b2o4bo22812bo4b2o$258bobo15b2o22788b2o15b
obo$258bo17bobo22786bobo17bo$257b2o19bo22786bo19b2o$214bo63b2o22784b
2o63bo$214b3o22910b3o$217bo35b2o22834b2o35bo$195b2o19b2o36bo22834bo36b
2o19b2o$195bo15bo42bobo22830bobo42bo15bo$193bobo15b3o41b2o22830b2o41b
3o15bobo$193b2o19bo52b2o22806b2o52bo19b2o$213b2o52b2o22806b2o52b2o3$
172b2o22996b2o$172b2o22996b2o2$210b2o22920b2o$210b2o17b2o22882b2o17b
2o$229b2o22882b2o$279b2o22782b2o$279bo22784bo$230b2o45bobo22784bobo45b
2o$230bo46b2o22786b2o46bo$217b2o12b3o22876b3o12b2o$200b2o16bo14bo22876b
o14bo16b2o$200bo14b3o22908b3o14bo$201b3o11bo22912bo11b3o$203bo22936b
o$182b2o22976b2o$182b2o22976b2o$303bo22736bo$303b3o22732b3o$306bo22730b
o$305b2o22730b2o$259b2o15b2o42b2o22700b2o42b2o15b2o$258bobo15b2o42bo
22702bo42b2o15bobo$258bo59bobo22702bobo59bo$257b2o48bo10b2o22704b2o10b
o48b2o$306bobo22726bobo$306bobo22726bobo$301b2o4bo22728bo4b2o$300bob
o15b2o22704b2o15bobo$300bo17bobo22702bobo17bo$264bo34b2o19bo22702bo19b
2o34bo$264b3o53b2o22700b2o53b3o$267bo22808bo$245b2o19b2o27b2o22750b2o
27b2o19b2o$245bo15bo34bo22750bo34bo15bo$243bobo15b3o32bobo22746bobo32b
3o15bobo$243b2o19bo32b2o22746b2o32bo19b2o$263b2o44b2o22722b2o44b2o$309b
2o22722b2o2$222b2o22896b2o$222b2o22896b2o2$260b2o22820b2o$260b2o17b2o
22782b2o17b2o$279b2o22782b2o2$321b2o22698b2o$280b2o39bo22700bo39b2o$
280bo38bobo22700bobo38bo$267b2o12b3o35b2o22702b2o35b3o12b2o$250b2o16b
o14bo22776bo14bo16b2o$250bo14b3o22808b3o14bo$251b3o11bo22812bo11b3o$
253bo22836bo$232b2o22876b2o$232b2o22876b2o6$301b2o15b2o22704b2o15b2o
$300bobo15b2o22704b2o15bobo$300bo22742bo$299b2o22742b2o6$306bo22730b
o$306b3o22726b3o$309bo22724bo$287b2o19b2o22724b2o19b2o$287bo15bo22736b
o15bo$285bobo15b3o22732b3o15bobo$285b2o19bo22730bo19b2o$305b2o22730b
2o3$264b2o22812b2o$264b2o22812b2o2$302b2o22736b2o$302b2o17b2o22698b2o
17b2o$321b2o22698b2o3$322b2o22696b2o$322bo22698bo$309b2o12b3o22692b3o
12b2o$292b2o16bo14bo22692bo14bo16b2o$292bo14b3o22724b3o14bo$293b3o11b
o22728bo11b3o$295bo22752bo$274b2o22792b2o$274b2o22792b2o!


The switch engine recipes may be of interest in their own right. In both, a single glider hits a small constellation consisting of a beehive, a ship and two blocks to produce a stablised switch engine. This reaction was adapted from the one used in Nick Gotts' "Catacryst" and "Metacatacryst" patterns, in which gliders strike pi debris to produce switch engines.

This is the recipe for the block laying switch engine:
x = 32, y = 21, rule = B3/S23
2bo$2bobo$2b2o4$26b2o$bo24b2o$obo27b2o$obo27b2o$bo8$20b2o$20bobo$21b2o!


Moving the stabilising block results in a glider producing switch engine:
x = 32, y = 22, rule = B3/S23
18b2o$2bo15b2o$2bobo$2b2o5$bo$obo27b2o$obo27b2o$bo8$20b2o$20bobo$21b2o!
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Re: Breeders

Postby 137ben » October 1st, 2010, 4:58 pm

There are a lot of definitions in life that are vague. For example, methuselas are "small". How small is that? The 20 by 20 soups in the onnline soup search hardly seem small when compared to methuselas like the r pentomino or the acorn. Nor does the 1104 generations of the underweight spaceship
x = 3, y = 4, rule = B3/S23
2o$obo$o$bo!

Seem all that long when compared rabbits.

Its also not clear whether a spacefiller is a breeder. It grows faster than most breeders, but doesn't fit the usual sense of a "breeder".
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Re: Breeders

Postby Paul Tooke » October 1st, 2010, 9:32 pm

137ben wrote:
It[']s also not clear whether a spacefiller is a breeder. It grows faster than most breeders, but doesn't fit the usual sense of a "breeder"


Thank you. It was to hear what you, and others, thought of as "the usual sense of a 'breeder'" that I raised this topic. To me, it is clear why a spacefiller isn't a breeder: it doesn't breed. It grows, and it grows quadratically, but not by breeding.

I think that it is a pity that many of the published definitions of a breeder have been based too heavily on Stephen Silver's Life Lexicon. His breeder entry appears to have been incrementally edited to accomodate the changes required to adapt from that of describing a single pattern (Bill Gosper's breeder) to that required to describe a class of such objects and somewhere along the way excluding spacefillers, but without ever properly explaining why they were excluded. This definition has now been mechanically reproduced many times in many different formats all over the InterWeb, apparently without any proper editing. This hasn't really lead to people misunderstanding the concept of what a breeder is, but there are obviously some misconceptions that have formed as a result. I've raised this topic in order for us to collectively correct those misunderstandings (or, perhaps, mine).
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Re: Breeders

Postby Keiji » October 2nd, 2010, 2:25 pm

To me a breeder is a rake that produces rakes, i.e. MMM.

I'm pretty sure the usual definition of "breeder" is any object which produces objects which produce objects, but having a stationary component in a breeder just seems weird to me for some reason.
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Re: Breeders

Postby Paul Tooke » October 2nd, 2010, 8:16 pm

Keiji wrote:
I'm pretty sure the usual definition of "breeder" is any object which produces objects which produce objects


Thank you. You have simply paraphrased my definition above, and in doing so, reinforced my conviction that growth rate is insignificant as far as most people are concerned. You will struggle to find this "usual definition" expressed anywhere on the web.

and...
but having a stationary component in a breeder just seems weird to me for some reason

Why? Does this challenge your intuitition? That is what this topic is all about. Why shouldn't a breeder not only possess stationary components but in fact be entirely composed of them? Having seen how to do so, I made a concerted effort to produce something that at least approximates an SSS breeder in order to get folks to think outside of the box.
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Re: Breeders

Postby Karatorian » October 2nd, 2010, 11:22 pm

I find it odd that one would find it weird for a breeder to have a stationary component, when the original breeder, the pattern which gave the entire genera it's name, is an MSM type. Specifically, it is a flotilla of standard spaceship based puffers and rakes that assemble a series of Gosper's p30 glider guns.

While I've never really thought about the true definition of a breeder, I'm inclined to agree that the "objects that produce objects that produce objects" definition seems to fit the intuitive impression one gets when you first come across the concept.

I don't think that a necessarily quadratic rate of growth is required. There are two main reasons for this. One is that excluding subquadratic growth rates leaves a number of interesting, and clearly related, patterns in a weird no-mans-land of "unusual rakes, offbeat puffers, constructors building stuff, and other miscellany". One could argue that the division is useful, but I'd counter that the inclusive definition is more useful and that sub-categories, such as "quadratic breeders", "subquadratic breeders", "logarithmic breeders", etc.) fill such a role even better.

The second reason is that the initial impression a breeder makes (at least to me) isn't that it grows quadratically, but that the sequence of stuff building stuff building even more stuff is cool in a geeky sort of way. I imagine that many people who come across the "standard" quadratic growth definition have to go look it up, or have to take a moment and recall some math class they took years ago. It's not that having a mathematical basis for the definition is bad, it's that there's a disconnect between what feels like a breeder and what's defined as a breeder.

Especially once you add the spacefillers (I know of two, are there more?) to the mix. To me, they're just not breeders. They're interesting patterns in their own right, but a different class of pattern. The term "spacefiller" seems to be adequate to cover this sort of object, so we can just use it instead. If one need a term to cover all quadratic growth patterns, well "quadratic" seems about perfect if you ask me. Likewise for "superlinear".

However, I think I know why breeders and quadratic growth have traditionally been intertwined. Patterns in Life that produce other patterns usually do so at a linear rate. In fact, one generally has to carefully engineer other rates of growth. Therefore, the usual result of "objects producing objects producing objects" is quadratic growth. Additionally, the original breeder was significant in that it was the first pattern to demonstrate quadratic growth. (Much like the glider gun was important because (among other things) it demonstrated unbounded growth). These two factors, combined with a lack of non-quadratic breeders and the spacefillers in the early days, made the two concepts intrinsically linked.

If one accepts the proposed definition, then I'd suggest it also be expanded to include the fourth level ("objects producing objects producing objects producing objects") and beyond as well. I don't think extra terms, such as "super breeder", are required. Rather, if we're making an effort to redefine "breeder" to better match the intuitive concept, we might as well broaden it in this respect as well.

While the usual MSM, etc. classification system clearly has limitations, I think it does have some utility. Just as guns, puffers, and rakes are rather different creatures, the various sorts of breeders have different qualities. Clearly, the system (or perhaps, more accurately, the explanation of it) should be expanded to include the non-obvious (but demonstrably possible) combinations that include more than one stationary component. It still breaks down in the face of glider producing switch engines and other such combinations, but no classification system is perfect.

Speaking of terminology, there seem to be a few related concepts that are missing nice concise terms. For instance, the level below a breeder (using the new definition), "objects producing objects". Also, puffers and rakes are pretty closely related, but AFAIK, there's no term that covers both. (Which would also nicely cover those that are both.) Lastly, just what do you call things like blockstacker and the beehive building assemblage of slide guns used in the example SSS breeder? I think the term "constructor" might almost fit, but that might be understood to refer to rather more sophisticated devices.

P.S. Any pointers to additional information regarding the Pianola constructor?
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Re: Breeders

Postby Extrementhusiast » October 3rd, 2010, 12:17 am

Here are my thoughts on the SSS type of breeder:

I was thinking that perhaps a slide gun could be synthesized to make slide guns which "fire" blocks. But synthesizing the slide gun would be no mean feat.
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Re: Breeders

Postby Paul Tooke » October 3rd, 2010, 7:26 am

Karatorian wrote:
P.S. Any pointers to additional information regarding the Pianola constructor?


I'm afraid that for the time being, what you see is what you get. A month ago it was just a germ of an idea in the back of my head and I tend to follow a fairly old school programming methodology:
10 Find a job that needs doing
20 Write program to do job
30 GOTO 10
40 Document program


Besides the patterns and descriptions that I've already posted, the Pianola constructor exists as a set of poorly documented Python/YAML files, a lot of which was 'borrowed' from Andrew J. Wade's Gemini programs. If there is sufficient interest, I'll tidy them up and post them here.

BTW, your thoughts on the definition of a breeder are practically identical to mine.

Extrementhusiast wrote:
I was thinking that perhaps a slide gun could be synthesized to make slide guns which "fire" blocks. But synthesizing the slide gun would be no mean feat.

It's already been done. Take a look in the "superbreeders?" topic. In there I posted a "Spartan SS gun" which did this using a reaction provided by Dave Greene and later produced a Gemini puffer for it. The reason I chose the beehive-creating reaction for the SSS breeder was that it gave me a return glider to use for the creation of the next salvo. My reasoning for this is documented extensively in that same topic. It may be possible to find a similar reaction that produces blocks instead. Creating a Pianola program to 'fire' such a slide gun wouldn't be difficult, it's finding the right layout and spacing of reflectors in the slide gun to fire the glider salvo that I found hardest.
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Re: Breeders

Postby Axaj » October 3rd, 2010, 11:52 am

I'm a bit slow on this, but the link up top is broken for me.
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Re: Breeders

Postby knightlife » October 3rd, 2010, 1:48 pm

Karatorian wrote:Speaking of terminology, there seem to be a few related concepts that are missing nice concise terms. For instance, the level below a breeder (using the new definition), "objects producing objects".


I noticed the term "factory" being used in the pattern collection under Golly's breeder examples (p90-rake-factory). Factory implies an assembly line and is correctly used to describe a breeder as a "rake factory", where a factory is an "object which produces objects" and the objects it produces are rakes that just happen to produce other objects themselves. I think "factory" fits as this lower level below a breeder.

So a breeder could be described as a "factory producing factories". I suppose a rake is a factory that moves, adding some confusion to the use of the term since a factory is usually stationary in the real world. I notice that the "p90-rake-factory" pattern is a stationary factory that is continually launching rakes and really looks like an assembly line, which is probably why that pattern conjured up the term "factory". A rake is then a special case of a factory, just happens it is a moving factory, a not-so-intuitive concept. Personally I am OK with the term being used in the more general sense: "factory" can be qualified, if necessary, as moving or stationary. A "breeder factory" makes perfect sense as the next level after "breeder".
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Re: Breeders

Postby Paul Tooke » October 3rd, 2010, 1:55 pm

Axaj wrote:
the link up top is broken for me


Hmm. Has anyone else had a problem with this link? Just out of interest what do you get when you click on it?

I've uploaded the three macrocell files in that archive as separate attachments to the original post. Individually they just come under the file size limit.
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Re: Breeders

Postby Paul Tooke » October 3rd, 2010, 2:13 pm

Knightlife wrote:
I noticed the term "factory" being used in the pattern collection under Golly's breeder examples


This is another term with a troublesome definition. From the latest (2006) version of Stephen Silvers Life Lexicon:
Another word for gun, but not used in the case of glider guns. The term is also used for a pattern that repeatedly manufactures objects other than spaceships or rakes. In this case the new objects do not move out of the way, and therefore must be used up in some way before the next one is made.


This appears to be a roundabout way of describing a factory as a stationary object that produces stationary objects. But why do the latter necessarily need to be moved out of the way?

BTW, I'm not looking to redefine "breeder", but to establish what people think that the term means. Language is defined by the people who use it, not by the lexicographer.
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Re: Breeders

Postby Karatorian » October 3rd, 2010, 8:05 pm

Paul Tooke wrote:BTW, I'm not looking to redefine "breeder", but to establish what people think that the term means. Language is defined by the people who use it, not by the lexicographer.

True. However, if the currently common definition is faulty (which I think it is), then a new definition is needed, thus "redefine". Of course, now I'm probably redefining "redefine" =_=
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Re: Breeders

Postby BlinkerSpawn » April 11th, 2015, 9:07 pm

This is how I personally define the major stable pattern types:
Breeder: Anything creating things that create other things.
Spacefiller: Any object that fills a region of the plane with a non-chaotic pattern and is not a breeder.
Gun: Stationary object creating spaceships of some sort.
Rake: Spaceship creating spaceships of some sort without leaving other debris.
Wickstretcher: Spaceship with debris consisting of one continuous object.
Puffer: Spaceship leaving debris consisting of multiple objects.
Spaceship: Other moving object.
These definitions leave little room for ambiguity:
- The quadratic-growth spacefiller is not a breeder.
- Glider-producing switch engines are puffers, not rakes.
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Re: Breeders

Postby The Turtle » May 27th, 2015, 5:20 pm

I would define the pattern types like this:
Breeder: A pattern that creates guns or rakes
Spacefiller: A pattern that fills the Life plane with an agar
Gun: A stationary pattern creating only spaceships
Rake: A moving object creating only spaceships
Wickstretcher: Spaceship that stretches a linear agar
Puffer: A moving object creating debris
Spaceship: A moving pattern leaving no debris behind

By the way, I don't think an object creating breeders is possible because that would have cubic growth, and the fastest possible growth is quadratic growth. Tell me if I'm wrong with this.
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Re: Breeders

Postby biggiemac » May 27th, 2015, 7:03 pm

The Turtle wrote:I would define the pattern types like this:


I agree but I don't feel that it is complete. There are many different types of superlinear growth mechanisms that don't all fall into breeders and spacefillers. I think perhaps the option to add the qualifier "generalized" to encompass more relaxed definitions would be good.

I personally think spacefiller should only apply if the pattern grows in all 4 directions and is locally connected (and the special categorization of maximal spacefiller applies to those that fill as 0.5t^2 asymptotically). Maybe generalized spacefiller can apply with the 4-direction condition removed, which would mean that "halfmax" is a generalized spacefiller. Or maybe generalized spacefiller could be any quadratically growing pattern, removing locally connected as well?

Deciding what is and isn't a breeder/generalized breeder is even more tricky (hence this topic being revisited). The canonical vague definition of "objects (stationary or moving) producing more objects (stationary or moving) which in turn produce more objects (stationary or moving)" could be maintained as the definition of breeder. This is more general than the definition you just gave.

The question then becomes what to relax for the generalized category. Consider three patterns: jslife's "pufferless breeder," switch-engine ping-pong, and Alexey's recent t log log t.
"Pufferless breeder": This is an object (S) producing objects (M) to support a regularly triggered internal reaction producing objects (M).
SE ping-pong: This is an object (M) producing objects (S) to support a seeded internal reaction that produces objects (M) that produce objects (S).
T log log T: This is an object (M) producing objects (S) to support a log-regularly triggered internal reaction that is processed to create non-interfering objects (M) producing objects (S).

Might "objects (S/M) producing objects (S/M) to support X" classify as a generalized wickstretcher? The output certainly isn't locally connected (separated by thousands of cells in the case of SE ping-pong) but it is burned.

I don't think any of the patterns listed qualify as actual breeders under the three letter categorization scheme because they rely on an internal reaction. They can all be clever superlinear wickburners. But they can all be generalized breeders if there is a good way to phrase it. Any suggestions from others?

Also, since breeders don't necessarily imply quadratic growth, it isn't impossible to have breeder-producers. But directions become trickier because breeders tend to fill space.
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Re: Breeders

Postby dvgrn » May 27th, 2015, 7:25 pm

The Turtle wrote:By the way, I don't think an object creating breeders is possible because that would have cubic growth, and the fastest possible growth is quadratic growth. Tell me if I'm wrong with this.

You're certainly right that no 2D CA pattern can expand indefinitely at a cubic growth rate. Maybe the simplest reason is that the effects of a CA pattern can only move at the speed of light.

So the absolute maximum population or area growth would be (2T+C)^2, where C is the initial diameter of the pattern... and that's just garden-variety quadratic growth.

However, that doesn't rule out objects that create breeders, exactly -- it's just that the breeders will inevitably end up stifling each other's growth, back down to a quadratic rate.

Think of something along the lines of Langton's loops, or the planned quadratic-growth replicator in Conway's Life. If it weren't for the lack of space, the population would double with each replication cycle... but the replicator is still a replicator, in spite of the fact that the exponential growth rate is inexorably damped down by competition.
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Re: Breeders

Postby Alexey_Nigin » May 29th, 2015, 4:49 am

Here is my definition of a breeder:

∃d∈ℕ(∀s∈ℕ(∃t∈ℕ(∃x∈ℕ(∃y∈ℕ(at time t any cell in the square of side length s with top-left corner (x,y) is at most d cells away from some live cell)))))


Examples of patterns that are breeders under my definition:

Switch engine ping-pong, pufferless breeder, SSS breeder, halfmax, quadratic sawtooth, t log log t.
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Re: Breeders

Postby Kiran » May 29th, 2015, 12:09 pm

So this is not a breeder?
x = 444, y = 331, rule = B3/S23
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$79b2o64bo5b2o25bobo8bo$101b3o41b2o31bo$92b2o8b2o39b3o31b2o38b2o$92b2o
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65b2o12b2o9b2o78b3o17b2o38bobo$79b2o6b2o6bo77bo57bo$76bobo7b3o6bo69b2o
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2o35bobo63b3o28b2o18b3o$60bo49bobo36b2o21bo5bo9b3o23b3o22b2o5bo2bo6b2o
$106bo65b2o3b2o9bo49bobo6bobo6bobo$106b2o81bo48bo19bo9b2o$57b2o3b2o35b
3o3bobo129b2o19b2o8bo$57b2o3b2o37bo19b2o54b2o33b2o3b2o50b3o$100bo11bo
7b3o54bobo33b5o10b3o40bo$59b3o50b3o4bobo2bo2b2o50bo34b3o10b2ob2o$59b3o
53bo3b2o2b2o2b2o11bo37b2o35bo11b2ob2o$45b3o12bo53b2o7b2o13b3o34bo51b5o
$44bo3bo88bo37bo2bo11b3o33b2o3b2o$43bo5bo67bo19b2o36bo13bo3bo$44bo3bo
67b3o9b2o58bo5bo$45b3o67bo3bo7bobo58b2obob2o$45b3o66bob3obo8bo44b2obob
2o36b2o$58bo56b5o97bo$56b2o116bo5bo10bo26b3o$57b2o66b2o7b3o53bobo27bo
5b2o$125bobo5bo3bo37b2ob2o10bobo34bo$43b3o15b3o61bo51bo13bo32b3o$42b2o
b2o3bo9bo3bo55b3o9bo5bo85bo$42b2ob2o4b2o6bo5bo37bo18bo9b2o3b2o52b2o$
37b2o3b5o3b2o7bo5bo37b3o15bo69b2o$37bo3b2o3b2o14bo43bo$27bo7bobo22bo3b
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2o8bo2bo99b2o$3b2o3b2o3bo14b4o32b2o69bo$3b2o3b2o3bo4bobob2o3b4o21bobo
9bo16bo36b3o11bo2bo$8b2o3bo5b2o3bo2bo13b2o8bo13b3o13b2o34bo3bo13bo$10b
obo10bo18bo3b2o2bo4bo11bo12bobo33bo5bo$11bo8bo2bo15b3o4b2obo2bob2o20bo
28b2o3b2o4b2obob2o$39bo10b2o24b2o52b2obob2o$69b3o3bobo28bo3bo$42b2o27b
o35b3o20bo5bo$24b3o3bo11bobo25bo36b3o$26bo4bo11b3o85b2ob2o$25bo3b3o12b
2o75b2o10bo$41b2o68bo9bo$11b2o28b3o65b4o9b3o$11b2o4bo90bobob2o10bo$2o
6b2o6b5ob2o83bo2bob3o$2o5b3o5bo2b2o4bo17b2o64bobob2o18b2o$8b2o5b2o8bo
16b2o65b4o8b2o9b2o$11b2o4bo7bo85bo9bobo$11b2o12bo77b2o18bo$24bo8b2o69b
2o17b2o$22b2o9bobo67bo$35bo49bobo$35b2o33b3o4bo10bo$45bo24bobo4b3o4bo
4bo2b2o$46bo23b3o7bo3b2obo2bob2o11bo$44b3o23b3o6b2o7b2o13b3o$70b3o29bo
288bo$70b3o29b2o285b3o$41b2o27bobo315bo$41bo18bo9b3o27bo287b2o$32bo6bo
bo17b2o38b3o91bobo30b2o$31b2o6b2o17b2o3b2o33bo3bo90bo3bo28bobo157bo$9b
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3o11b3o4b2o20b2o20b5o3b2o7bo5bo38bo32b4o14bo4bo4b2o12b4o2bo4b3o8b4o4bo
136bo3bo$11bo5b2obo9b2o4b2o11b2o8b2o5b2o12b2ob2o4b2o6bo5bo36b3o31bobob
2o4bo12bo5b2o12b3ob2o4b3o8b4o5bo137b3o$6bo5bo4bo2bo10b2o15bobo9bo5bobo
11b2ob2o3bo9bo3bo36bo29b2o2bo2bob3o5b2obo3bo3bo28bobo9bo2bo9b2o130b2o
3b2o$6b2o9b2obo11bo6b3o6bo19bo12b3o15b3o37b2o9b2o17b2o3bobob2o5b4obo2b
obo30b2o10b4o9b2o$15b3o10bo12bo5b2o19b2o46bo33b2o23b4o6b2o2b2o39bo8b4o
122b2o$15b2o9bobo11bo54b2o19b3o58bo27b2o8b2o12bo12bo93bo29bo$27b2o65b
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$33b2o5b2o40bo3bo47bo5bo54b2o7bob2o6bob2o9bo105b4o3b2obobo4bo3b2o17b2o
11bo$33b2o8b2o36bo5bo116bo131bo2bo3b2o5bo3b2o18bo2bo$42b3o37bo3bo48bo
3bo51bo12bo17bo117bo10bobo3b2o16bobo18b2o$22bo60b3o12bo37b3o34b2o16b2o
11bo2bo7b2o5bobo98b2o15bo2bo8bo4bobo37bo$21b4o72b3o6b3o11b3o50b2o15bob
o12b2o8b2o5b2o98bobo34bo37bobo10bo$20b2obobo6bobo7b2o53b3o5b2ob2o9bo3b
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23bob3obo79b3o2bo5bo3bo71b2o86b2obo7b2o$9b2o9b2obobo4bo64b2o3b2o3b5o8b
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2o2b2o3b2o10bo28b3o75bobo4bo8bo3bob2o2b2o67b3o6bo61b2o13b2obob3o6bo$
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7b2o$30bo3bo6b2o77b3o17bo30b2ob2o7b2o41b2o17bo3bo87bo72bo4b2o6bo7b2o$
32bobo6bobo42b2o10bo7b2o13bo16bobo43b2o40b2o18b2o75b2o13bo81bobo$43bo
42bo10bobo5b5o29b2o29bo5bo6bo37b2o5bobo92b2o95b2o$43b2o42b3o9b2o4bo47b
o66bobo7bo120b2o$89bo9b2o6b3o12b3o10bo17bo16b2obob2o43bo99b2o24bo4b2o
42b2o10bobo$98b3o8bo12b3o9b3o15bobo63b3o99bo19b2ob5o6b2o39b2o10b2o$97b
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2o6b2o40b2o$115b2o3b2o3b2o6b5o7b2o6bo21bobo15bo6bobo4bobo61b2o39bobo
23bo7bo4b2o43b2o6b2o22b2o$116bo16bo3bo12b2o3b2o19bo16bobo4b2o5b2o5b3o
54b2o26b2o11bo2bo22bo12b2o41bob2o30bo$102b2o3b2o25bobo38b2o17bobo17b3o
33b2o16b2o10bo4bo13b2o11bobo14b2o8bo54bo16bo7bo6bobo$102bobobobo3b2o
19b3o39b3o3b2o11bo2bo52b2o8b2o5b3o10bo4bobo23bobo14bobo9b2o52bo15b4o5b
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65bo2bo7b2o2bo2b2o8b2o$104b3o26bo4bo15bo19bo18bobo11bo63b2o2b2o11b2o4b
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16bo63bo60b2o74bo$103bo18b2o15b2o4b4o23b2o3b2o78bobo8bobo3bo44bobo72b
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70bo3bo5bo2bo7bo3bobo21b2o22b2o4bo78bo$76bo30bo66bobo32b3o5b2o28bo5bo
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73b2o9b2o12b2o9b2o5bo88b3o12bo28b3o24bo4b2o6bo37b3o86b3o8b4o$84b2o12b
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55b2o26b2o10b2o58b2obob3o6bo12bo16b2o7bo6b2o69b2o6bobo9bo2bo9b2o$113bo
4b2o83b3o9b2o58b2ob2o6bobo13b3o30bobo67bobo6b2o10b4o5bo$275b2obo7b2o8b
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23b2o3b2o6bo81b2o40b2ob2o3bo9bobo9bo20bo109b2o8b3o$71bo13bo24b5o6bo82b
2o40b2ob2o4b2o7bo55b2o84b3o$70b3o11bobo24b3o22bo109b5o3b2o7b2o54bobo$
69b5o9b2ob2o24bo24b2o69b2o35b2o3b2o69bo$68b2o3b2o7bo5bo6b2obob2o16b2o
3b2o11b2o69bobo100bo20b2o9b3o9b2o31b2o17b2o$69b5o11bo32bo5bo52bo31bo
99b4o18bo10bo9bo2bo30b3o17b2o$69bo3bo8b2o3b2o6bo5bo75bobo44b3o81b2obob
o6bobo6bobo5bo5bo7bo34b2obo$70bobo46bo3bo53b2o45bo82b3obo2bo3bo3bo6b2o
4b4o12bo35b3o44b2o$71bo24b2ob2o19b3o102bo82b2obobo4bo15bobob2o11bo36bo
33b3o2bo5bo3bo$84b4o10bo92bo8b2o14b2o19bo61b2o8b4o4bo4bo10bo2bob3o11bo
2bo5b2o55bo3bo9bo5bo3b2o$83b2o2bo23bo77bobo6bo2bo14bo20b2o11b2o46bobo
9bo7bo14b2obob2o14b2o5bobo52bobo4bo8bo3bob2o2b2o$69bo13b2obo22b2o66bo
10bobo7bo3bo2b2o7bobo9bo5b2o4b2o10bo47bo19bo3bo8b3ob4o24bo50b2o16bo5bo
$67b2ob2o38b2o24bobo37bo10bo2bo7bo2b2o2b3o6b2o10bobo3b2o4b3o10b3o43b2o
21bobo7bobo4bo25b2o49b2o17bo3bo$76bo7b2o37b2o12b2o37b3o9bobo16b2obo16b
obo2b2o4b2o13bo76bo83b2o18b2o$66bo5bo4bo6bo38bo13bo46b2o3bobo4b3o8bo2b
o16bo2bo6b2o7b2o81b2o78b2o5bobo$75b3o46b3o36bobo17bobo5bo15b2obo16bobo
7bo8bobo159bobo7bo$66b2obob2o22b3o28bo36b2o18bo21b3o8b2o8bobo19bo159bo
$84b2obob2o3bo3bo12b2o3b2o33bo12bo17b2o21b2o8bobo8bo21b2o157b2o$78bo5b
o5bo12b2o8b3o36b2o61bo$77bo7bo3bo3bo5bo3b2o7bo3bo34b2o61b2o$77b3o6b3o
4b2o3b2o13bobo169b2o58b2o$114bo169b4o56b4o$284b2ob2o55b2ob2o$66b2o28bo
11bobo5b2o65b2o58b2o41b2o15b2o41b2o15b2o$67bo27bobo11b2o5bo64b2ob2o55b
2ob2o55b2ob2o55b2ob2o$64b3o28bobo11bo7b3o61b4o56b4o56b4o56b4o$64bo30bo
23bo62b2o58b2o58b2o58b2o$95bo67bo59bo59bo59bo$86b2o7bo2bo63b3o3b2o52b
3o3b2o52b3o3b2o52b3o3b2o$77bo8b2o8b2o4bo2b2o54b5ob3o9b3o39b5ob3o9b3o
39b5ob3o9b3o39b5ob3o9b3o$73b2o2b2ob3o18bo3b2o2b2o54b3o9bo3b2o42b3o9bo
3b2o31bobo8b3o9bo3b2o31bobo8b3o9bo3b2o$73b2o4b4o18bo7b2o54b3o9bobo2b2o
41b3o9bobo2b2o31b2o8b3o9bobo2b2o31b2o8b3o9bobo2b2o$77b2o23b4o60bo9bo5b
o43bo9bo5bo32bo10bo9bo5bo32bo10bo9bo5bo$63bo101bo11bo2b2o43bo11bo2b2o
43bo11bo2b2o43bo11bo2b2o$62bo114bo59bo59bo59bo$62b3o114bo59bo59bo59bo$
112bo2bo56bo2bo56bo2bo56bo2bo56bo2bo$54bo61bo6b2o51bo6b2o51bo6b2o51bo
6b2o51bo6b2o$54bobo55bo3bo4b2ob2o46bo3bo4b2ob2o46bo3bo4b2ob2o46bo3bo4b
2ob2o46bo3bo4b2ob2o$42b2o11bobo55b4o4b4o48b4o4b4o48b4o4b4o48b4o4b4o48b
4o4b4o$42b2o11bo2bo63b2o58b2o58b2o58b2o58b2o$55bobo$54bobo$54bo50b2o
181b2o8b2o8b2o8b2o8b2o8b2o8b2o8b2o8b2o8b2o$105bo28bo153bobo7bobo7bobo
7bobo7bobo7bobo7bobo7bobo7bobo7bobo$97bo5bobo23b3ob2o2b2o151bo9bo9bo9b
o9bo9bo9bo9bo9bo9bo$58bo37b2o5b2o24b4o4b2o151b2o8b2o8b2o8b2o8b2o8b2o8b
2o8b2o8b2o8b2o$58bo21b2o13b2o36b2o7b2o$57bobo20b3o11b3o45b2o$56b2ob2o
21b2obo9b2o3b2o$55bo5bo20bo2bo10b2o22bo$58bo23b2obo11bo6b3o13b3o$55b2o
3b2o11b2o5b3o10bo12bo3b2o11bo$72bobo5b2o9bobo11bo3bobo10b2o$72bo19b2o
14b3o31b3o$57bo13b2o35b2o22b3o$57bo53b2o19bo9bobo$56bo53b3o20bo7b5o$
98b2o40b2o3b2o$98b2o40b2o3b2o$58b2o50b2o20b3o$58b2o27bo22b2o12b3o7bo$
86b4o33bo3bo5bo6b2o$74b2o9b2obobo6bobo22bo5bo9b2obo$74b2o8b3obo2bo3bo
3bo23bo3bo10bo$85b2obobo4bo12b2o14b3o$86b4o4bo4bo8b2o14bo2bo11b3obo$
87bo7bo29b3o15bo$95bo3bo25b2obo14bo$97bobo26bobo$127bo3$124b2o3b2o7b2o
3b2o$124bobobobo9b3o$125b5o9bo3bo$126b3o11bobo$127bo13bo4$140b2o$129b
2o9b2o$129bo$130b3o$132bo!

If the sqrtgun is replaced by something similar to the ruler generator, a quadratic non-breeder can be made using a Smith-Volterra-Cantor set.
I think a breeder should be defined as any finite pattern with super-linear growth.
If P(t) is defined as population at time t:
∀n∈ℕ(∃t∈ℕ such that P(t)>n*t)
Kiran Linsuain
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Re: Breeders

Postby Kiran » May 30th, 2015, 9:07 pm

I think a breeder should be defined as any finite pattern with super-linear growth.
If P(t) is defined as population at time t:
∀n∈ℕ(∃t∈ℕ such that P(t)>n*t)

I found a new definition that conveys the intuitive notion of a breeder very well.

First define the space-time path of a pattern as all the cells in a three dimensional half-space (no negative time) with coordinates (x,y,t) such that the cell (x,y) at generation t is on.
Now define a slab of three dimensional space as all the cells fully between two parallel planes a finite distance apart.
A breeder is defined as a pattern whose space-time path cannot be contained within a finite number of slabs.
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Re: Breeders

Postby gmc_nxtman » May 30th, 2015, 11:04 pm

Could I have some simple examples of MSS breeders? Thanks to Kiran for showing me SSM!
example: puffers producing slidegun-based factories?

My definition of a breeder goes something like this:

Any pattern or object that grows unboundedly by engines producing other unboundedly growing objects. Note how I didn't say superlinearly or quadratically, or even infinitely; this allows for much versatility among what is technically a breeder, examples: Gotts dots, Switch Engine ping-pong, Puffers that logarithmically create logarithmic glider guns, tethered rakes for moving sawteeth, and wickstretchers that strecth a slowly burning gunwick.

As a bonus: Who needs a dictionary when you have the classic "all sports are variations of ping pong": :roll:

All patterns are variations of a gun.

Spaceships are guns with no engine, and infinite period
Still lifes are guns based on stable circuitry with no signals going through them, nor producing any spaceships
Oscillators are guns with no engine
Wickstretchers are guns for segments of a wick with a "head" at the front
Rakes are moving guns
Puffers are moving factories
Superstrings are guns of linear infinite size (or only work in a tube), move at c, have no engine, and have infinite period.
Agars are guns of quadratic infinite size (or only work in a torus) and period, and emit no spaceships
SMM breeders are obvious
MSM breeders are moving factories that produce guns
MMS breeders are moving slide guns that produce moving factories
MMM breeders are moving slide guns that produce moving guns
Last edited by gmc_nxtman on June 15th, 2015, 10:08 pm, edited 2 times in total.
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Re: Breeders

Postby Kiran » June 9th, 2015, 1:10 pm

SSM from Golly collection bottom half:
x = 1169, y = 1345, rule = B3/S23
1134b2o$1134b2o33$1135b2o$1135b2o13$1134b2o$1134b2o20$1132bo$1133b2o$
1132b2o6$1131b3o$1133bo$1132bo3$1135b2o$1135b2o13$1134b2o$1134b2o4$
1126bo$1127b2o$1126b2o14$1125b3o$1127bo6b2o$1126bo6bo2bo$1133bo2bo$
1134b2o9$1135b2o$1135b2o12$1120bo$1121b2o11b2o$940b3o177b2o12b2o$942bo
$941bo7$1132b2o$1131bo2bo$1131bo2bo$1132b2o9$1134b2o$1133bo2bo$1133bo
2bo$1134b2o9$1135b2o$1114bo6b3o11b2o$1115b2o6bo$1114b2o6bo$938b3o$940b
o$939bo8$1134b2o$1134b2o10$1133b2o$1132bobo$1132b2o9$1134b2o$1134bobo$
1135b2o10$1135b2o$1135b2o6$927b3o$929bo$928bo2$1117b3o$1119bo$1118bo
11$1100b3o$1102bo$1101bo11$1083b3o$1085bo$1084bo4$1062bo$1061bobo$
1061bobo$1062bo56b3o$921b3o194bo2bo$923bo197bo$922bo194bo3bo$1066b3o
48bo3bo$1068bo52bo$1067bo50bobo8$1061bo$1060b3o$1060bob2o$1061b3o$
1061b3o$1061b3o$1061b2o9$736b3o325b3o$738bo325bo2bo51b3o$737bo326bo53b
o2bo$1064bo3bo52bo$1064bo3bo48bo3bo$1064bo52bo3bo$1065bobo53bo$1118bob
o8$1061bo$1060b3o$1060bob2o$1061b3o$1061b3o$1061b3o$1061b2o5$1011b2o$
1011bo2bo2$998b2o15bo$998b2o64b3o$1013b2o49bo2bo51b3o$1012bo51bo53bo2b
o$1064bo3bo52bo$917b3o113b2o29bo3bo48bo3bo$919bo89b2o3b2o17b2o29bo52bo
3bo$918bo90b2o3b2o49bobo53bo$734b3o273b5o31b2o70bobo$736bo274bobo32b2o
$735bo262bo$997b3o11b3o19bo13bo$996b5o30b2ob2o10bobo$995b2o3b2o44bobo$
996b5o29bo5bo10bo$996bo3bo$997bobo30b2obob2o24bo$998bo10bo34b2obob2o9b
3o$900b3o105bo35bo5bo9bob2o$902bo105b3o20bo13bo3bo11b3o$901bo94bo17bo
16bo2bo11b3o12b3o$994b2ob2o14b3o15bo29b3o$1003bo8b5o17b2o25b2o$993bo5b
o4bo6b2o3b2o17bo$1002b3o28bobo$993b2obob2o33b2o2$1013b3o29bo$1013b3o
12b2o3b2o9bo$1028bo5bo9b3o$1016b2o$883b3o130bo12bo3bo30b3o$885bo131b3o
10b3o31bo2bo51b3o$884bo134bo44bo53bo2bo$996b2o49b5o12bo3bo52bo$996b2o
48bob3obo11bo3bo48bo3bo$1047bo3bo12bo52bo3bo$862bo155bo29b3o14bobo53bo
$861bobo155bo8b2o19bo68bobo$861bobo153b3o9bo$862bo56b3o86b2o16b3o$918b
o2bo86b2o16bo$921bo108bo17b2o$917bo3bo107bo18b2o$866b3o48bo3bo107b3o$
868bo52bo$867bo50bobo140bo$1016bo43b3o$1016b3o17b2o22bob2o$1019bo16b2o
23b3o$1018b2o41b3o$1061b3o$1033bo27b2o$1034bo$861bo170b3o$860b3o$860bo
b2o$861b3o$861b3o$723b3o135b3o154b2o3b2o5bobo$725bo135b2o168b2o$724bo
294bo3bo7bo32b3o$1020b3o41bo2bo51b3o$1020b3o41bo53bo2bo$1064bo3bo52bo$
1064bo3bo48bo3bo$1018b2o44bo52bo3bo$1019bo28bo16bobo53bo$1016b3o12bo
17bo68bobo$864b3o149bo11b4o15b3o$864bo2bo51b3o98b2o5b4o$864bo53bo2bo
98b2o5bo2bo$864bo3bo52bo105b4o15bo$864bo3bo48bo3bo106b4o15bo$864bo52bo
3bo109bo13b3o$865bobo53bo115b3o$918bobo115bo3bo20bo$1036bo3bo19b3o$
1037b3o20bob2o$1061b3o$1061b3o$1061b3o$1061b2o$1037b3o$861bo174bo3bo$
860b3o173bo3bo$860bob2o173b3o$861b3o$861b3o$861b3o$861b2o$1064b3o6b2o$
1064bo2bo6bo44b3o$1064bo9bobo8bo32bo2bo$1064bo3bo6b2o8bobo33bo$1064bo
3bo19b2o6b2o19bo3bo$1064bo8bo14b2o4bo3bo18bo3bo$1065bobo4b2o14b2o3bo5b
o21bo8b2o$1072bobo10bobo4b2obo3bo8b2o8bobo9b2o$717b3o144b3o218bo7bo5bo
8b2o$719bo144bo2bo51b3o172bo3bo31bo$718bo145bo53bo2bo174b2o31bobo$864b
o3bo52bo164bo42bo2bo2b2o$864bo3bo48bo3bo162b2o47bob2o14b2o$864bo52bo3b
o163b2o44b2o18bo$865bobo53bo220b2o5bobo$918bobo160b2o57bo2bo5b2o$1081b
2o56bo$1139bo$1095bo43bo$1088b2obo3b4o41bo2bo6b2o15b2o$1082b2o2b2obobo
4b4o5b2o35b2o6b2o15b2o$700b3o378bobo2b2obob2o3bo2bo5b2o$702bo368b2o7b
3o8b2o3b4o$701bo159bo209b2o6b3o8b2o3b4o$860b3o217b3o12bo32bo2bo$860bob
2o217bobo47bo$861b3o173b2o43b2o43bo4bo32bo$861b3o173b2o88b2o2bobo30bob
o$861b3o268bob2o5b2o21bobo$861b2o220bo57b2o22bo$1064b3o14bobo75b2obo$
1064bo2bo12bobo17bo18b3o10bo2bo2b2o17b2ob2ob2o$1064bo9b2o3bo2bo16b2o
17bo2bo10b2o21b4obo2b2o$1064bo3bo5b2o4bobo15b2o4b2o2b2o11bo32b2o2bob4o
$683b3o378bo3bo12bobo13b3o4b2o2b2o7bo3bo32b2ob2ob2o$685bo378bo18bo4bob
o7b2o4b2o11bo3bo34bob2o$532b3o149bo380bobo20b2o9b2o20bo13b2o3b2o11bo$
534bo554bo10bo17bobo14b2o3b2o10bobo$533bo330b3o169b5o111bobo$864bo2bo
51b3o113bob3obo95b3o13bo$662bo201bo53bo2bo114bo3bo45b2o49b3o6b2o$661bo
bo200bo3bo52bo115b3o45b2o51bo7b2o$661bobo200bo3bo48bo3bo116bo43bo4bo$
662bo56b3o142bo52bo3bo158b2o$718bo2bo143bobo53bo159b2o62b2obo$721bo
196bobo180bo44bobo18b2o$717bo3bo314bo57b2obo3b4o42bo19b2o$666b3o48bo3b
o314bo51b2o2b2obobo4b4o31b2o7b2o4b2o$668bo52bo313bobo5bo43bobo2b2obob
2o3bo2bo5b2o24b2o7b2o4b2o$667bo50bobo313b2ob2o2bobo42b3o8b2o3b4o5b2o
33b2o$1033bo5bo2b2o41b3o8b2o3b4o$1036bo49b3o12bo$811b2o220b2o3b2o39b2o
6bobo66b2o$811b2o48bo216bobo7b2o66bo$860b3o215bo78bobo$798b2o60bob2o
186bo26b2o81bo$798b2o61b3o187bo100bo4bo2bo$661bo199b3o185b3o7b2o5b2o2b
2o5b2o74bo4bo$660b3o198b3o194bobo5bobo3bo5bo72bobo6bo$660bob2o197b2o
196bo6bo4bo6bobo6b2o63b2o3b2obo$661b3o169b2o232bo11b2o6b3o56b2o9b2ob2o
$661b3o169b2o233bo20b2obo8bo17b3o24b2o9bo3bo$661b3o134bo290bo2bo6bobo
16bo2bo$661b2o134b3o46b2o185bo7b2o46b2obo5bobo11b2o7bo$797b3o10b5o18bo
12b2o184b3o7b2o17b3o23b3o7bo2bo11b2o3bo3bo23bob2o$809bob3obo16b3o196b
5o5bo18bo2bo23b2o9bobo16bo3bo23bobo$795b2o3b2o8bo3bo16bo3bo194b2o3b2o
22b2o6bo31bobo19bo24bo$795b2o3b2o9b3o19bo226b2obo2b3o22bo9bo16bobo25b
2o$812bo17bo5bo11b2o14b3o193b2o2b3ob2o19b2o55b2o$830bo5bo27bo2bo51b3o
113b2o16bo8b5ob2o20b2o54b2o$797b2o32bo3bo28bo53bo2bo115bo15bobo7b5ob3o
$797bobo32b3o29bo3bo52bo112bo19bobo7b3o3bobo12b2o$664b3o129bo2b2o13bo
49bo3bo48bo3bo112bo2bo16bo2bo14bo11b2o$530b3o131bo2bo51b3o76b2o14bo29b
2o3b2o13bo52bo3bo111b2ob2o16bobo5bo9b2o12bo$532bo131bo53bo2bo76b2o7bo
5bobo29b5o15bobo53bo112b2o7b2o8bobo5bobo$531bo132bo3bo52bo77bo7bobo2b
2ob2o28b2ob2o68bobo121bobo8bo6bo3bo33b2o$664bo3bo48bo3bo85b2o2bo5bo17b
o9b2ob2o192bo18b3o34bo2bo$664bo52bo3bo71bo5bo14bo31b3o183b2o3b2o2b2o
16b2o3b2o22bo3b3o7bo6b2o$665bobo53bo71bo5bo11b2o3b2o214b2o3b2o48b5o3bo
6bo6b2o$718bobo73bo3bo4b2o30bo197b5o37b2o9b2ob2o3bo7bo$795b3o5b2o28bob
o198bobo38b2o8b3ob2o3bo3bo2bo$834b2o250b2ob4o5b2o$1034b3o50b4o$861bo
226bo$860b3o$816b2o10b2o3b2o14bo10bob2o$812bo3bo31b3o10b3o$661bo151bo
3b3o9bo3bo7b2o4b5o9b3o$660b3o148b3o5bo10b3o8b2o3bobobobo8b3o171b2o25b
2o28b2o$660bob2o132b2o32b3o13b2o3b2o8b2o172b2o25b2o28b2o$661b3o132b2o$
661b3o172bo282b3o15bo$661b3o171bo13bo268bo2bo14bobo$661b2o165b2o5b3o
10bobo270bo12b2o3bo14b2o$829bo18bobo266bo3bo7b2o3b2o3bo13bobo$808b2o
16b3o20bo267bo3bo7b2o3b2o3bo12b3o4b2ob3o$808b2o16bo21b2o271bo14bobo12b
3o4bo2b4o$848b2o268bobo16bo6bo7b3o4b2o$848b2o14b3o226bo48b2o9bobo$864b
o2bo51b3o170b3o48b2o9b2o$864bo53bo2bo169b5o$827bo36bo3bo52bo168b2o3b2o
44bo$664b3o149bo11bo35bo3bo48bo3bo169b5o44b2o$664bo2bo51b3o94b3o7b3o7b
2o26bo52bo3bo169bo3bo44bobo$664bo53bo2bo97bo16b2o27bobo53bo170bobo$
664bo3bo52bo96b2o98bobo172bo41bobo$664bo3bo48bo3bo413b2o$664bo52bo3bo
414bo12bo7bo$665bobo53bo102bobo264bo56b4o5bobo$718bobo104b2o262b2ob2o
49b2o2bo2b2o8b2o$825bo272bo44b2o2b2o11b2o4b2o$1088bo5bo4bo40b2o10bo7b
2o4b2o$821bo275b3o39b3o10bo4bobo$820b3o38bo226b2obob2o45b2o10bo4bo$
819b5o36b3o271b2o7b2o$818b2o3b2o35bob2o269bobo7b2o$842bo18b3o269bo$
661bo181bo17b3o268b2o$660b3o159bo18b3o17b3o242bo$660bob2o158bo38b2o
241bobo7b2o4b3o3bo5b2o$661b3o441b2o6bobo4bo5bo6bo$661b3o154b2o20bo273b
o5b3o10bobo7bo$661b3o155bo21bo292b2o7b4o$661b2o153b3o9bo10b3o302b4o7bo
$519b3o294bo9b4o258bo8bo46bo2bo6bobo$521bo298b2o3bobob2o256b3o7b2o17b
3o25b4o4b2o3bo9b2o$520bo299b2o2bo2bob3o254b5o5bobo16b2obo24b4o5b2o3bo
9b2o$825bobob2o254bobobobo22b2o2bo3bo20bo8b2o3bo$826b4o34b3o218b2o3b2o
22b4o4b2o30bobo$828bo8b3o24bo2bo51b3o194bobo3b2o31bo$837b3o24bo53bo2bo
195b2o25bobo$838bo18bo6bo3bo52bo168b2o17bo6b2o26b2o$664b3o171bo19bo5bo
3bo48bo3bo168b2o16bobo5b3o6b2o13bo4bo$664bo2bo51b3o116bo17b3o5bo52bo3b
o170bo14bo3b2o12bobo11b2o$664bo53bo2bo115bobo25bobo53bo168b3o14bo3b2o
14bo11bobo$664bo3bo52bo196bobo167bo18bo3b2o3b3o8b2o$664bo3bo48bo3bo
133bo232b5o5b2o8bobo5b3o$502b3o159bo52bo3bo115bobo16bo232b2o6bobo9bo5b
o3bo33b2o$504bo160bobo53bo116bo15b3o240bo16bo5bo25bob2o3b3o$503bo214bo
bo117bo257b2o17bo3bo22bo2bo3bo5b2obo5b2o$838bo248b2o3b2o22b3o22b2o2bo
4bo4bo2bo5b2o$837b3o248b5o37b2o8b2o5b4o4b2obo$837b3o24bo223b2ob2o37b2o
7b3o7bo3b3o$863b2o223b2ob2o47b2o11b2o$863bobo223b3o49b2o$1142bo$873b2o
$661bo212bo$660b3o211bobo9bo$660bob2o211b2o8b2o$485b3o173b3o220b2o11b
2o191b2o25b2o$487bo173b3o219b3o7bo3b3o190b2o25b2o$486bo174b3o220b2o5b
4o4b2obo27b2o$661b2o222b2o2bo4bo4bo2bo5b2o20b2o$886bo2bo3bo5b2obo5b2o$
890bob2o3b3o30bo$464bo432b2o30bobo$463bobo413bo49bo2bo2b2o$463bobo398b
3o11b2o53bob2o14b2o$464bo56b3o340bo2bo10bobo2bobo33b3o9b2o18bo$520bo2b
o340bo18b2o33bo2bo19bo7bobo$523bo340bo3bo15bo36bo17bobo7b2o$519bo3bo
140b3o197bo3bo48bo3bo15b2o$468b3o48bo3bo140bo2bo51b3o142bo52bo3bo15b2o
$470bo52bo140bo53bo2bo143bobo30bo22bo15b2o$469bo50bobo141bo3bo52bo163b
2o2b2o6b4o17bobo18bobo8b2o15b2o$664bo3bo48bo3bo158bobo2bob4o5b2obobo3b
2o34bo8b2o15b2o$664bo52bo3bo156bo3bo3bob2o5b3obo2bo2b2o$665bobo53bo
149b2o5bo12bo4b2obobo$718bobo150b2o4bo4bo14b4o$878bo19bo29bo2bo22b2o3b
o$878bo3bo48bo22bo2b4o$837b2o41bobo44bo4bo23b6o$463bo373b2o88b2o2bobo
21bo2bo3bo$462b3o467bob2o5b2o12b3o4b2o$462bob2o417b2o56b2o13bobo$463b
3o417bobo70b2o$463b3o195bo216b2o6bo11bobo31bo2bo$463b3o194b3o211b2obo
2bo2bo2bo10bo2bo31b2o11b2o$463b2o195bob2o210b2o2b2o6bo9b2o10b2o35bobo$
661b3o174bo44bobo8b2o3bo8b2o35bo$661b3o173b3o43b2o11b2o5b2o56b2o$661b
3o172b5o47bo8bo2bo4bo54bobo$661b2o172bobobobo44b2o10bobo54b2o4b3o$835b
2o3b2o45b2o67bo3bo2bo$935b2o3b2o15b6o$937b3o6b2o10b4o2bo$838bo97bo3bo
5b2o11bo3b2o$466b3o368bobo24b3o70bobo$466bo2bo51b3o312b2obo24bo2bo51b
3o16bo$466bo53bo2bo312b3o25bo53bo2bo23b2obo$466bo3bo52bo311bo2bo25bo3b
o35bo16bo24bobo18b2o$328b3o135bo3bo48bo3bo140b3o168b3o26bo3bo22b2o2b2o
6b4o10bo3bo25bo19b2o$330bo135bo52bo3bo140bo2bo51b3o112bo3bo25bo21bobo
2bob4o5b2obobo9bo3bo15b2o7b2o$329bo137bobo53bo87b2o51bo53bo2bo111bo5bo
25bobo16bo3bo3bob2o5b3obo2bo2b2o8bo15b2o7b2o8b3o$520bobo88b2o51bo3bo
52bo112bo3bo5bo39bo12bo4b2obobo3b2o5bobo25b2o11b2o$664bo3bo48bo3bo113b
3o7bo37bo4bo14b4o48bo3b2o$598b2o64bo52bo3bo121b3o27bo10bo19bo50bob2o$
598b2o65bobo53bo149b2o6b2o3bo3bo$718bobo127b2o22b2o4bobo5bobo66b3o$
848bo29bo76b3o$848b2o27b2o$598bo13bo20b2o210bo3bobo$463bo133bobo11b3o
17bo2bo210bob2o3bo6b2o16b2o$462b3o131bo3bo9b5o230b3obobo6bobo17bo$462b
ob2o131b3o9bobobobo14bo15b2o211bo18bobo10bo$463b3o129b2o3b2o7b2o3b2o
30b2o185bo45b2o9bobo53b2o$463b3o165b2o28bo171bo9bo46b2obo7b2o43b2o4b2o
$463b3o167bo26b3o169bobo8b2o31b2o12b2ob2o6bobo48b2o$463b2o147bo47bob2o
167b2ob2o6bobo30b2o13b2obob3o6bo7b2o$611bobo47b3o166bo5bo22bo17bo12bob
o2bo2bo2bo2bo7b2o31bob2o$596bo14bob2o15b2o3b2o24b3o169bo26bo30bo4b2o6b
o40bobo$596bo15b3o15b2o3b2o24b3o166b2o3b2o21b3o40bobo42bo$596bob3o11bo
2bo15b5o25b2o238b2o43b2o$613b3o16bobo311b2o$601bo10bo3bo30bo187b3o14b
2o34bobo55b2o$598bob2o9bo5bo14b3o11b3o186bob2o12bobo16b2o16b2o$598b2o
6bo5bo3bo28b5o187b2o11bo6b2o3bo7bobo16bo$466b3o136bo7b3o28b2o3b2o185b
2o12bo2bo2bo2bobobo8bo12b2o$466bo2bo51b3o81b3o37b5o184bobo13bo6b2o2bob
o8b2o11b2o32b3o$466bo53bo2bo69b2o3b2o45bo3bo182b2o2bo6b2o6bobo8bo55bo
2bo$466bo3bo52bo69b2o3b2o46bobo193bobo7b2o38bo7bo20bo$466bo3bo48bo3bo
70b5o7bo29bo10bo16b3o175bo48b4o5bobo14bo3bo$466bo52bo3bo71bobo9bo29bo
26bo2bo51b3o119b2o16b2obob2o20b2o2bo2b2o8b2o4b2o6bo3bo$467bobo53bo81b
3o27b3o26bo53bo2bo137bo5bo20b2o2b2o11b2o4b2o10bo$520bobo72b3o33bo17bo
14bo3bo52bo138bo3bo10b2o6b2o10bo7b2o13bobo$630b3o14b2ob2o12bo3bo48bo3b
o111b5o23b3o11b2o5b3o10bo4bobo$616b2o11b5o8bo21bo52bo3bo110bob3obo44b
2o10bo4bo$616bo11b2o3b2o6bo4bo5bo12bobo53bo111bo3bo48b2o$326b3o288b3o
21b3o74bobo113b3o49b2o$328bo290bo26b2obob2o182bo$327bo268b2o$596b2o32b
3o$463bo166b3o$462b3o370b2o25b2o28b2o$462bob2o162b2o205b2o25b2o28b2o$
463b3o163bo$463b3o142b2o11bo4b3o32bo276b2o$463b3o142b2o12bo3bo33b3o
275bo2bo$463b2o155b3o25b2o10bob2o266b5o7bo9bobo$648b2o11b3o265bo5bo6bo
7bo3bo$661b3o229bo35bo3b2o7bo7bo12b2o$309b3o315bo33b3o228b3o35bo7bo2bo
7bo4bo8b2o$311bo314bo34b2o229b3o43b2o10bo$310bo305bo9b3o321bo3bo$616b
3o17b2o252b2o3b2o44bobo8bobo$619bo16b2o252b2o3b2o44b2o$618b2o322bo$
466b3o$466bo2bo51b3o368b2o25b3o$466bo53bo2bo368bobo23bo2bo$466bo3bo52b
o97bo269bo2b2o25bo$466bo3bo48bo3bo97bo14bo27b3o226b2o22bo3bo$466bo52bo
3bo96bobo14bo26bo2bo51b3o171b2o22bo3bo25bo10bo$467bobo53bo95b2ob2o11b
3o26bo53bo2bo172bo26bo24b2o9b2o$292b3o225bobo95bo5bo39bo3bo52bo196bobo
20bo4bobo7b2o4b2o$294bo326bo42bo3bo48bo3bo166bo5bo44bobo13b3o4b2o2b2o$
293bo324b2o3b2o39bo52bo3bo166bo5bo43bobo15b2o4b2o2b2o$665bobo53bo167bo
3bo6bo36bo2bo16b2o$633bobo82bobo169b3o5bobo37bobo17bo$634b2o263b2o25bo
bo5b2o3bobo$271bo362bo268bo22b2o5bobo5bo$270bobo629bo2bo21bo5bo$270bob
o190bo154b2o281bo3bo26b2o$271bo56b3o131b3o154bo280b3o$327bo2bo131bob2o
150b3o10b2o268b2obobobo7b2o16b2o$330bo132b3o150bo12b2o268b2ob2o9bobo
17bo$326bo3bo132b3o154b2o3bo6b2o17bo9bo239bo12bo18bobo10bo$275b3o48bo
3bo132b3o154bobo3bo5b3o17bo7b3o225bo45b2o9b4o$277bo52bo132b2o156b5o6b
2o16b3o7bob2o222b2ob2o7b2o31bo12b2ob4o5b2o$276bo50bobo292b3o4b2o30b3o
235b2o29b2o11b3ob2o3bo3bo2bo$629b2o30b3o221bo5bo6bo31bobo11b2ob2o3bo7b
o6b2o$649bo11b3o281b5o3bo6bo6b2o$638bo11bo10b2o222b2obob2o23bo30bo3b3o
7bo$637b3o8b3o262bobo40bo2bo$636b2ob2o273b2o40b2o$635b3ob3o249b2o$635b
3ob3o248bobo14b2o35bo$270bo195b3o166b3ob3o249bo13bo2bo16b2o15b2o$269b
3o194bo2bo51b3o111b3ob3o248b2o12bo7b6o7bobo14b3o$269bob2o193bo53bo2bo
112b2ob2o249b3o11bo6bo6bo8bo12b3o$270b3o193bo3bo52bo113b3o251b2o11bo7b
2o4bo8b2o11b2o$270b3o193bo3bo48bo3bo114bo25b3o222bo8b2o5bo2bo7b2o$270b
3o193bo52bo3bo140bo2bo51b3o175bobo7b2o37b2o9bo$270b2o195bobo53bo140bo
53bo2bo175bo47b4o7bobo$520bobo141bo3bo52bo174b2o16b2o3b2o19bobo2bo2b3o
5b2obo4b2o$664bo3bo48bo3bo168bo23bo5bo18bo2bo2b2o9b2ob2o3b2o$664bo52bo
3bo167b3o38b2o6b2o9bo6b2obo$665bobo5b2o46bo166b5o22bo3bo10b2o4b2o3bo8b
o5bobo$674bo43bobo166b2o3b2o22b3o19b2o10bo6bo$670bo3bobo7bobo201b5o46b
o2bo$669b2o4b2o6bo2bo201bo3bo47bobo$669bobo10b2o10bo6bo187bobo$273b3o
187bo216b2o3bo8bo5bobo187bo$273bo2bo51b3o131b3o217b2o9bo6b2obo26b2o$
273bo53bo2bo131bob2o217bo2bo2b2o9b2ob2o3b2o20b2o$273bo3bo52bo132b3o
218bobo2bo2b3o5b2obo4b2o180b2o25b2o$273bo3bo48bo3bo132b3o223b4o7bobo
27bo159b2o25b2o$273bo52bo3bo132b3o224b2o9bo27bobo$274bobo53bo132b2o
264bo2bo2b2o$327bobo403bob2o14b2o$731b2o18bo$740bo8bobo$736b2o2b2o7b2o
$741b2o$685bo49b2o4b3o$684b2o10b2o37b2o4b2o23b2o$684bobo9b2o42b2o8b2o
13bo2bo$270bo195b3o210b2o12b2o6bo3b2o33bo9b2o14bobo$269b3o194bo2bo51b
3o153bo3bo10b3o5bo3bobo55bo4bo$269bob2o193bo53bo2bo147b2o3bo5bo10b2o6b
5o55b3o$270b3o193bo3bo52bo147b2o2b2obo3bo13b2o4b3o55bo$270b3o193bo3bo
48bo3bo140b3o9bo5bo13b2o30bo2bo29b2o$270b3o193bo52bo3bo140bo2bo9bo3bo
37b3o9bo$270b2o195bobo53bo113b2o25bo14b2o37bo2bo5bo4bo20bo$520bobo114b
2o25bo3bo52bo5b2o2bobo18bobo$664bo3bo48bo3bo10bob2o16bobo$664bo19bo32b
o3bo31bo$665bobo11bo4b4o33bo37bo$679bo5b4o7bo21bobo11bo2bo22b2o$638bo
35b2o9bo2bo6bobo34b2o24bobo$636b2ob2o33b2o9b4o4b2o3bo9b2o48bobo$684b4o
5b2o3bo9b2o49b2o$273b3o187bo171bo5bo42bo8b2o3bo60bo$273bo2bo51b3o131b
3o230bobo39b3o25bo$273bo53bo2bo131bob2o169b2obob2o54bo39bo3bo23bobo$
273bo3bo52bo132b3o269bo5bo22bobo$273bo3bo48bo3bo132b3o218b2o49b2obob2o
23bo$273bo52bo3bo132b3o170bo47b2o60b2o$274bobo53bo132b2o171bo2bo106b2o
$327bobo306bo101bo18b2o$639b2o96bobo17bo$640bo50bo45bobo5b2obo$638bobo
38bo10b2o10b2o34bo7bobo18b2o$638b2o37b2o11bobo9b2o4b3o36bo7b3o9b2o$
678b2o5b2o12b2o6b5o25b2o7b2o7bobo$683bo3bo10b3o5bo3bobo24b2o7b2o3b5ob
2o$633b2o3b2o42bo5bo10b2o6bo3b2o33b2o5b3ob2o$270bo195b3o164bo5bo41bo2b
o3bo13b2o49b3o$269b3o194bo2bo51b3o122bo41bo13b2o50b2o$269bob2o193bo53b
o2bo110bo3bo5bobo32bo3bo3bo$270b3o193bo3bo52bo111b3o7b2o31bob2o3b2o$
270b3o193bo3bo48bo3bo140b3o11bo$270b3o193bo52bo3bo140bo2bo9b2o40b3o$
270b2o195bobo53bo140bo53bo2bo$520bobo136bo4bo3bo8b2o42bo35bo$653bo4bob
o3bo3bo9bo38bo3bo32bob2o$632b3o19bo4bo4bo13bobo8b2o26bo3bo33b2o$124b3o
505b3o9b2o6b3o10bobo11b2o7bobo30bo24b2o$126bo504bo3bo9b2o40b3o12bo15bo
bo25b2o4b2o$125bo504bo5bo7bo41b3o8b2o3b4o46b2o$631bo3bo51b3o8b2o3b4o5b
2o$632b3o53bobo2b2obob2o3bo2bo5b2o31bob2o$273b3o187bo225b2o2b2obobo4b
4o38bobo$273bo2bo51b3o131b3o230b2obo3b4o40bo$273bo53bo2bo131bob2o171bo
64bo43b2o$273bo3bo52bo132b3o171b2o43b2o62b2o$273bo3bo48bo3bo132b3o170b
obo13bo28b2o63b2o$273bo52bo3bo82b2o48b3o183b4o17b2o11bo4bo$274bobo53bo
82b2o48b2o183b4o6bo11bobo13b2o$327bobo318bo2bo6bo13bo14b2o$107b3o290b
2o246b4o20b2o$109bo290b2o241b2o4b4o$108bo533bobo7bo37bo10bo$400bo13bo
220bo6bo46b2o9b2o$399bobo10b2ob2o217b3o4b2o41bo4bobo7b2o4b2o2b2o$399bo
bo33b2o196b5o21b2o3b2o16bobo13b3o4b2o2b2o$400bo10bo5bo17b2o195bobobobo
21b5o10b2o4bobo15b2o4b2o$270bo195b3o163b2o3b2o21b2ob2o10b2o3bo2bo16b2o
$269b3o139b2obob2o30b2o16bo2bo51b3o136b2ob2o16bobo17bo$269bob2o124b2ob
ob2o44b2o16bo53bo2bo137b3o18bobo$270b3o124bo5bo62bo3bo52bo111bo48bo$
270b3o125bo3bo13bo49bo3bo48bo3bo110bobo$270b3o126b3o11bo2bo49bo52bo3bo
110bobo82b3o$90b3o177b2o144bo50bobo53bo111bo82bo2bo$92bo319b2o106bobo
112b2o84bo$91bo320bo36bo185b2o25b2o28b2o23bo3bo$412bobo33b3o184b2o25b
2o28b2o23bo3bo$413b2o18b5o10b3o270bo$432bob3obo279bobo19bo$69bo332bo
30bo3bo8b2o3b2o287bobo$68bobo332bo9b2o3b2o14b3o9b2o3b2o240bo49b2o6b2o$
68bobo330b3o9bo5bo15bo256bobo34b2o12b2o4bo3bo$69bo56b3o144b3o187bo227b
o3bo33b2o12b2o3bo5bo8b2o$125bo2bo144bo2bo51b3o83bo3bo30b2o11b3o227b3o
45bobo4b2obo3bo8b2o$128bo144bo53bo2bo84b3o30bobo11bob2o224b2o3b2o43bo
7bo5bo$124bo3bo144bo3bo52bo102bo13b2o2bo11b3o283bo3bo$73b3o48bo3bo144b
o3bo48bo3bo65b5o32bo14b2o13b3o285b2o$75bo52bo144bo52bo3bo64bob3obo30bo
bo5bo7b2o13b3o$74bo50bobo146bobo53bo65bo3bo30b2ob2o2bobo7bo14b2o274b2o
$327bobo67b3o30bo5bo2b2o250bo47b2o$398bo19b2o13bo14bo5bo236bo$418bo11b
2o3b2o11bo5bo236bob3o$419b3o21b2o4bo3bo$421bo21b2o5b3o243bo48b2o$398b
2o17bo275bob2o47b2o10bobo$398b2o18bo274b2o37bobo11bo8bo2bo4bo$68bo347b
3o313b2o7b2o11b2o5b2o$67b3o200bo195b3o264bo7bobo8b2o3bo8b2o$67bob2o
198b3o158b2o34bo2bo51b3o164b2o3b2o49bo9b2o10b2o$68b3o198bob2o158bo3bo
30bo53bo2bo164b2o3b2o46bo2bo10bo2bo$68b3o199b3o137b2o16b3o3bo31bo3bo
52bo165b5o7bo42bo11bobo$68b3o199b3o137b2o16bo5b3o29bo3bo48bo3bo166bobo
9bo31b2o5bobo$68b2o200b3o177b2o14bo52bo3bo176b3o16b3o11bobo5b2o$270b2o
178b2o15bobo53bo166b3o25bo2bo11bo$520bobo198bo10b2o$717bo3bo$714bo2bo
3bo10b2o$418bo269bo24bobo5bo11bo$418b3o17b2o247b3o10bo8bo4bo3bobo12bob
o8b2o$421bo10bo5b2o246bo3bo9b2o5bobo24b2o8b2o$420b2o11bo254bo10bobo6b
2o31b2o10bo4bo$71b3o357b3o251bo5bo48b3o10bo4bobo$71bo2bo51b3o144b3o
187bo221bo5bo49b2o10bo7b2o4b2o$71bo53bo2bo144bo2bo51b3o91b3o37b3o221bo
3bo53b2o2b2o11b2o4b2o$71bo3bo52bo144bo53bo2bo91b3o37bob2o221b3o54b2o2b
o2b2o8b2o$71bo3bo48bo3bo144bo3bo52bo90bo3bo37b3o283b4o5bobo$71bo52bo3b
o144bo3bo48bo3bo89bo5bo2bobo31b3o226b2o43bo12bo7bo$72bobo53bo144bo52bo
3bo90bo3bo4b2o31b3o227b2o41b2o$125bobo146bobo53bo91b3o5bo32b2o227bo13b
o29bobo$327bobo374bobo18b2o$702b2o21bobo13bobo$702b2o23bo13b2o$702b2o
23b2o13bo$698b2o4bobo$447bo242bo6bobo6bo37b2o9b2o$448bo240b3o5bo45b2o
9bobo$68bo351b2o24b3o240b3o4b2o40bo6bo7b3o4b2ob3o$67b3o200bo150bo44b3o
268bobo12b3o4bo2b4o$67bob2o198b3o146b3o13bo31bo2bo51b3o163b2o3b2o20b2o
3b2o9b2o3b2o3bo12b3o4b2o$68b3o198bob2o145bo15bobo8bo20bo53bo2bo163b2o
3b2o36b2o3b2o3bo13bobo$68b3o199b3o149b2o11bobo8bo19bo3bo52bo191bo3bo
15b2o3bo14b2o$68b3o199b3o149b2o11bo2bo5b3o19bo3bo48bo3bo192b3o18bobo$
68b2o200b3o162bobo28bo52bo3bo166bo25b3o19bo$270b2o162bobo3bo26bobo53bo
165bobo$434bo5bo79bobo165b2o$439b3o246b2o$688b3o$689bobo25b2o$439b3o
248b2o25b2o$440bo21bo$440bo22bo$71b3o366bo20b3o$71bo2bo51b3o144b3o164b
o$71bo53bo2bo144bo2bo51b3o108b3o$71bo3bo52bo144bo53bo2bo132bo$71bo3bo
48bo3bo144bo3bo52bo131b2o$71bo52bo3bo144bo3bo48bo3bo108b3o17b2o3bo$72b
obo53bo144bo52bo3bo109bo19b3o$125bobo146bobo53bo109bo$327bobo2$475b2o$
476bo$476bobo5bo$477b2o4bobo$481b2o3bo14b2o$68bo412b2o3bo13bobo$67b3o
200bo195b3o12b2o3bo12b3o4b2o24b2o$67bob2o198b3o194bo2bo13bobo12b3o4bo
2b4o9b3o8b2o$68b3o198bob2o193bo11bo5bo6bo7b3o4b2ob3o8bo2bo$68b3o199b3o
193bo3bo6b2o10b2o9bobo20bo8bo$68b3o199b3o193bo3bo6bobo10b2o9b2o16bo3bo
7bobo$68b2o200b3o193bo52bo3bo7bo2bo2b2o$270b2o195bobo53bo11bob2o14b2o$
520bobo10b2o18bo$542bobo6bobo$483b2o57bo2bo5b2o$483b2o60b2o$543bo3b2o$
496bo48b2o$494bobo45bo2bo6b2o15b2o$71b3o408b2o9bobo11b2o26b2o5bobo7b2o
15b2o$71bo2bo51b3o144b3o206b3o7bo2bo11b2o26bobo$71bo53bo2bo144bo2bo51b
3o142b2o9b2obo5bobo39bo$71bo3bo52bo144bo53bo2bo142bo5bo4bo2bo6bobo$71b
o3bo48bo3bo144bo3bo52bo147bo5b2obo8bo33bo2bo$71bo52bo3bo144bo3bo48bo3b
o143bo3bo3b3o48bo$72bobo53bo144bo52bo3bo108b2o35bo5b2o45bo4bo32bo$125b
obo146bobo53bo108b2o88b2o2bobo30bobo$327bobo204bob2o28bobo$489bo77bo$
440bo47b4o69b2obo$439b3o45b2ob4o5b2o33bo2bo21b2ob2ob2o$438bo3bo33b2o8b
3ob2o3bo3bo2bo31b2o21b4obo2b2o$440bo35b2o9b2ob2o3bo7bo6b2o44b2o2bob4o$
437bo5bo44b5o3bo6bo6b2o27b3o14b2ob2ob2o$68bo368bo5bo45bo3b3o7bo34b2ob
2o15bob2o$67b3o200bo167bo3bo23b3o30bo2bo35b2ob2o12bo$67bob2o198b3o167b
3o24bo2bo29b2o20b3o14b5o11bobo$68b3o198bob2o193bo53bo2bo13b2o3b2o10bob
o$68b3o199b3o193bo3bo16bo35bo31bo$68b3o199b3o193bo3bo14b2o32bo3bo24b2o
$68b2o200b3o193bo19b2o31bo3bo24b2o$270b2o170bo24bobo53bo$491b2o27bobo
18b2o$490b2o55b2obo$442bo49bo9bo45bobo18b2o$440bobo57bobo46bo19b2o$
441b2o45b2o9bobo37b2o7b2o4b2o$488b3o7bo2bo11b2o24b2o7b2o4b2o$490b2obo
5bobo11b2o33b2o$71b3o416bo2bo6bobo$71bo2bo51b3o144b3o159b2o3b2o48b2obo
8bo$71bo53bo2bo144bo2bo51b3o118bo31b2o5b3o67b2o$71bo3bo52bo144bo53bo2b
o105bo3bo9bo29bobo5b2o68bo$71bo3bo48bo3bo144bo3bo52bo106b3o8b3o21bo7bo
78bobo$71bo52bo3bo144bo3bo48bo3bo106b3o30b2o7b2o81bo$72bobo53bo144bo
52bo3bo140b2o81bo4bo2bo$125bobo146bobo53bo104bo11bo13b2o16b2o74bo4bo$
327bobo104bobo11bo11bobo17bo72bobo6bo$220b2o212bobo10bo13bo13b2o3bobo
6bobo62b2o3b2obo$220b2o213bo38b2o5b2o4bo3bo56b2o9b2ob2o$476bo10bo19bo
40b2o9bo3bo$207b2o277bo4bo14b4o$207b2o12bo210b2o3b2o48bo12bo4b2obobo3b
2o$220b3o209bo5bo48bo3bo3bob2o5b3obo2bo2b2o31bob2o$68bo150bo3bo265bobo
2bob4o5b2obobo36bobo$67b3o151bo48bo162bo3bo2b2o21b2o29b2o2b2o6b4o38bo$
67bob2o134b2o11bo5bo17b2o25b3o162b3o4b2o18b2o2bo41bo13b3o24b2o$68b3o
147bo5bo17b2o25bob2o167bo20b2ob2o54bo2bo24b2o$68b3o148bo3bo46b3o178bo
10b3o58bo24b2o$68b3o149b3o32b2o13b3o176b4o19b2o45bo3bo$68b2o185b2o13b
3o175bobob2o18bobo44bo3bo$204b2o3b2o59b2o175bo2bob3o19bo48bo$205b5o
237b2obob2o20b2o44bobo$205b2ob2o227bo7b3ob4o37b2o$205b2ob2o9bo22bo13bo
178b2ob2o4bobo4bo37b2o10bobo$206b3o32b3o11bobo186bo46bo8bo2bo$240b5o9b
o3bo175bo5bo2b2o41b2o11b2o10b2o$219bo19bobobobo9b3o206bo21bobo8b2o3bo
8b2o$219bobo17b2o3b2o7b2o3b2o174b2obob2o22b3o11b2o2b2o6bo9b2o5b2o$71b
3o145b2o241b5o10b2obo2bo2bo2bo10bo2bo4bo$71bo2bo51b3o144b3o185b2o3b2o
13b2o6bo11bobo$71bo53bo2bo113bo30bo2bo51b3o131b5o19bobo$71bo3bo52bo
112bobo29bo53bo2bo131bo3bo19b2o$71bo3bo48bo3bo76bo14b2o3b2o13b2obo14bo
14bo3bo52bo132bobo$71bo52bo3bo75b3o33b3o15bo14bo3bo48bo3bo133bo$72bobo
53bo74b5o4b2o7bo3bo13bo2bo11b3obo14bo52bo3bo$125bobo74bobobobo3b2o8b3o
14b3o32bobo53bo$202b2o3b2o13b3o13bo3bo10bo73bobo107b2o25b2o28b2o$237bo
5bo9b2obo180b2o25b2o28b2o$218bo19bo3bo5bo6b2o$205bo13bo19b3o7bo245bo
47bo$204bobo10b3o5b2o20b3o244bobo45b2o$204bobo18bo29b2o3b2o232bobo44b
2o11b2o$205bo20b3o26b2o3b2o233bo35b2o7b3o7bo3b3o$68bo136b2o21bo19bo7b
5o270b2o8b2o5b4o4b2obo5b2o$67b3o135b2o40bo9bobo10bo271b2o2bo4bo4bo2bo
5b2o$67bob2o134b2o40b3o19b3o220b2obob2o22b3o19bo2bo3bo5b2obo$68b3o186b
3o9bob2o219bo5bo21bo2bo23bob2o3b3o$68b3o199b3o220bo3bo25bo30b2o$68b3o
166b2o31b3o221b3o22bo3bo$68b2o168bo31b3o246bo3bo$217b2o16b3o32b2o251bo
16bobo$217b2o16bo284bobo17b2o$257b2o282bo4bo$233bo23b2o286b2o$234bo
310bobo$232b3o262bo58bo$498bo56bobo$225bo270b3o45bo8b2o3bo$71b3o151b3o
5bo11b2o297b4o5b2o3bo9b2o$71bo2bo51b3o99bo3bo12b2o26b3o269b4o4b2o3bo9b
2o$71bo53bo2bo98b2o3b3o38bo2bo51b3o214bo2bo6bobo$71bo3bo52bo144bo53bo
2bo214b4o7bo$71bo3bo48bo3bo102bo41bo3bo52bo160b5o40b2o6b4o$71bo52bo3bo
102bo41bo3bo48bo3bo159bob3obo8bo29bobo6bo$72bobo53bo101bo42bo52bo3bo
160bo3bo7bobo29bo$125bobo146bobo53bo161b3o9b2o19bobo6b2o$327bobo163bo
31b2o$227b2o3b2o256bo25b2o8bo7b2o$227bo5bo14bo240bobo23bobo12bo4bo$
249bo239bobo24bo12b2o4bobo6bo$228bo3bo14b3o240bo38bobo4b2o4bobo$229b3o
309bobo17bo$540bo2bo16b2o$68bo418b2o3b2o47bobo15b2o4b2o2b2o$67b3o200bo
216b2o3b2o48bobo13b3o4b2o2b2o$67bob2o174bobo21b3o216b5o3bo21bo25bo4bob
o7b2o4b2o$68b3o156b2o17b2o21bob2o216bobo4b2o19b3o29b2o9b2o$68b3o157bo
17bo23b3o222bobo19b2obo29bo10bo$68b3o154b3o12b2o28b3o216b3o24b2o2b2o$
68b2o155bo13bobo28b3o234bo9b4o$229b2o7bo6b2o23b2o235b2o8b3o7b2o$229b2o
7bo2bo3bobo255b2o3b2o17bobo$238bo6bobo260b3o18bo$239bobo21bo228bo15b2o
19b2o14bo$240b2o22bo226bobo6b2o5b2o35b2o$262b3o225bo3bo4bobo5bo36bobo
8bobo$247bo243b3o5bo53bo3bo$247bo241b2o3b2o2b2o19bo21b2o10bo12b2o$71b
3o172bobo12bo256b3o12bo7bo2bo7bo4bo8b2o$71bo2bo51b3o118bo14bo10b3o241b
5o10bo3b2o7bo7bo$71bo53bo2bo118bo12b3o10bo2bo239b2o3b2o9bo5bo6bo7bo3bo
$71bo3bo52bo118bo25bo259b5o7bo9bobo$71bo3bo48bo3bo118bo25bo3bo263bo2bo
$71bo52bo3bo117bobo24bo3bo263b2o$72bobo53bo118bo25bo244b3o$125bobo119b
o26bobo241b3o3$492b2o25b2o$492b2o25b2o$276bo$275b2o5b2o$275bobo5bo$68b
o214bobo6b2o$67b3o214b2o6bo2bo$67bob2o225bo9bobo$68b3o218bo6bo7bo3bo$
68b3o216b2o7bo7bo34b2o$68b3o221bo2bo7bo4bo8b2o20b2o$68b2o222b2o10bo12b
2o$304bo3bo30bo$295bobo8bobo29bobo$295b2o41bo2bo2b2o$296bo45bob2o14b2o
$340b2o18bo$291bo61bo4bobo$290b2o60bobo3b2o$290bobo58bo3b2o$71b3o277bo
3b2o$71bo2bo51b3o144b3o27b2o46bo3b2o$71bo53bo2bo144bo2bo26bobo22b3o21b
obo4b2o15b2o$71bo3bo52bo144bo19bo4b2o6bo7b2o11bo2bo22bo5b2o15b2o$71bo
3bo48bo3bo144bo3bo14bobo2bo2bo2bo2bo7b2o14bo$71bo52bo3bo144bo3bo2b2o
10b2obob3o6bo19bo3bo$72bobo53bo144bo6b2o10b2ob2o6bobo20bo3bo$125bobo
146bobo15b2obo7b2o25bo6bo2bo22b2o3bo$292bobo32bobo10bo22bo2b4o$246b2o
45bo42bo4bo23b6o$246bo2bo86b2o2bobo21bo2bo3bo$341bob2o19b3o4b2o$250bo
43b2o69bobo$294b2o69b2o$248b2o41b2o10bo4bo32bo2bo2bo$68bo178bo35b2o5b
3o10bo4bobo30b2o3bobo5b2o$67b3o213b2o6b2o10bo7b2o4b2o26bo3bo4bobo$67bo
b2o223b2o2b2o11b2o4b2o26b5o4bo$68b3o173b2o3b2o43b2o2bo2b2o8b2o31b2o3b
2o19b2o$68b3o173b2o3b2o48b4o5bobo34b5o19bobo$68b3o174b5o50bo7bo37b3o
15b2o4b3o$68b2o176bobo98bo17bo3bo2bo$293b2o71b6o$246b3o44b2o60b2o10b4o
2bo$297bo57b2o11bo3b2o$296b2o$296bobo$354b2obo$309b2o44bobo18b2o$250bo
58bobo44bo19b2o$71b3o177bo47bo4b2o6bo33b2o7b2o$71bo2bo51b3o120b3o21b3o
9bo12bobo2bo2bo2bo2bo7b2o24b2o7b2o8b3o$71bo53bo2bo116bo27bo2bo6b2o13b
2obob3o6bo7b2o6b3o24b2o11b2o$71bo3bo52bo115b3o26bo10b2o12b2ob2o6bobo
15bo2bo33bo3b2o$71bo3bo48bo3bo114b5o25bo3bo20b2obo7b2o19bo33bob2o$71bo
52bo3bo113b2o3b2o24bo3bo10b2o8bobo25bo3bo$72bobo53bo144bo13bobo9bo26bo
3bo33b3o$125bobo130bo15bobo10bo42bo33b3o$246bo9bobo27b2o39bobo$246bo9b
obo$255bobo10b2o16b2o$242bo14b2o8bobo17bo$241bo14bo11bo18bobo5b2o$242b
o45b2o3bo3bo57b2o$265bo26bo5bo13b2o41b2o4b2o$68bo197bo24b2obo3bo13b2o
47b2o$67b3o194b3o25bo5bo10b2o6bo3b2o$67bob2o178bo43bo3bo10b3o5bo3bobo
31bob2o$68b3o168b2o3b2o3b2o37b2o5b2o12b2o6b5o32bobo$68b3o177bobo36b2o
11bobo9b2o4b3o34bo$68b3o169bo3bo44bo10b2o10b2o41b2o$68b2o171b3o57bo53b
2o$241b3o15b2o94b2o$259b2o18b2o$262b2o15bobo$244bo17b3o16bo12b2o$18b2o
223b3o16b2o17b2o11b2o$18bo2bo220bo3bo5b2o5b2o$244bo6bobo5b2o10bo34bo$
5b2o15bo218bo5bo3bo18b3o32bobo$5b2o64b3o167bo5bo2b2o18b3o21bo8b2o3bo9b
2o$20b2o49bo2bo51b3o113bo3bo47b4o5b2o3bo9b2o$19bo51bo53bo2bo114b3o22b
2o3b2o9b2o9b4o4b2o3bo19b3o$71bo3bo52bo139b2o3b2o9b2o9bo2bo6bobo19bo2bo
$40b2o29bo3bo48bo3bo160bo5b4o7bo23bo$16b2o3b2o17b2o29bo52bo3bo160bo4b
4o28bo3bo$16b2o3b2o49bobo53bo142bo22bo31bo3bo$17b5o31b2o70bobo142bobo
57bo$18bobo32b2o214b2o56bobo$5bo263b2o$4b3o11b3o19bo13bo214b3o$3b5o30b
2ob2o10bobo188b2o24bobo28b2o$2b2o3b2o44bobo188b2o25b2o28b2o$3b5o29bo5b
o10bo$3bo3bo340bobo$4bobo30b2obob2o24bo278bo2bo$5bo10bo34b2obob2o9b3o
233b2o41b2o10bo6bo$15bo35bo5bo9bob2o267b2o4b2o3bo8bo5bobo$15b3o20bo13b
o3bo11b3o267b2o6b2o9bo6b2obo4b2o$3bo17bo16bo2bo11b3o12b3o276bo2bo2b2o
9b2ob2o3b2o$b2ob2o14b3o15bo29b3o277bobo2bo2b3o5b2obo$10bo8b5o17b2o25b
2o229b2o3b2o47b4o7bobo$o5bo4bo6b2o3b2o17bo257b5o49b2o9bo$9b3o28bobo
257b2ob2o$2obob2o33b2o258b2ob2o43b2o$301b3o44b3o$20b3o29bo297b3o$20b3o
12b2o3b2o9bo298b2o$35bo5bo9b3o298bo$23b2o$23bo12bo3bo30b3o290b2o$24b3o
10b3o31bo2bo289bo2bo$26bo44bo234bo21b3o23bo3b3o7bo$3b2o49b5o12bo3bo
224bo3bobo20bo2bo22b5o3bo6bo6b2o$3b2o48bob3obo11bo3bo223b3o3b2o23bo7bo
bo11b2ob2o3bo7bo6b2o$54bo3bo12bo226b5o23bo3bo7b2o11b3ob2o3bo3bo2bo$25b
o29b3o14bobo222bobobobo22bo3bo8bo12b2ob4o5b2o$26bo8b2o19bo240b2o3b2o
26bo12b2o8b4o$24b3o9bo290bobo12bobo9bo$15b2o16b3o277bo28bo$15b2o16bo
277bob2o26b2o$37bo17b2o255b3o$36bo18b2o254bobo9b2o16b2o$36b3o273b2o8bo
bo17bo$312b2o9bo18bobo6b2o$68bo274b3o5bobo$23bo43b3o275b3o6bo11bobo$
23b3o17b2o22bob2o250bo23bo2bo2bo2bo10bo2bo$26bo16b2o23b3o248bobo24b2o
6bo9b2o10b2o$25b2o41b3o233b2o14b2o21bo7bobo8b2o3bo8b2o$68b3o234b2o35b
2o7b2o11b2o5b2o$40bo27b2o225b5o4bo37bobo11bo8bo2bo4bo$41bo252bob3obo
53b2o10bobo$39b3o253bo3bo55b2o$296b3o15bobo$297bo16bo2bo16b2o$298b2o
17b2o15bobo$298bobo14bo3b2o15bo12b2o$25b2o3b2o5bobo258bobo16b2o17b2o
11b2o$38b2o259bo7b2o5bo2bo8bo$26bo3bo7bo32b3o232bobo5bobo9bo34b2o$27b
3o41bo2bo51b3o177bo18bobo31bo3bo$27b3o41bo53bo2bo167b2obob2o2b2o17b2ob
2o21bo7bo5bo8b2o$71bo3bo52bo167bo5bo20bo5bo20bobo4b2obo3bo8b2o$71bo3bo
48bo3bo168bo3bo24bo12b2o12b2o3bo5bo$25b2o44bo52bo3bo169b3o22b2o3b2o9b
2o12b2o4bo3bo$26bo28bo16bobo53bo224b2o6b2o$23b3o12bo17bo68bobo222bobo$
23bo11b4o15b3o268bo24bo$27b2o5b4o287bo$27b2o5bo2bo286bo$34b4o15bo$35b
4o15bo$38bo13b3o244b2o25b2o$44b3o252b2o25b2o$43bo3bo20bo$43bo3bo19b3o$
44b3o20bob2o$68b3o$68b3o$68b3o$68b2o$44b3o$43bo3bo$43bo3bo$44b3o5$71b
3o6b2o$71bo2bo6bo44b3o$71bo9bobo8bo32bo2bo$71bo3bo6b2o8bobo33bo$71bo3b
o19b2o6b2o19bo3bo$71bo8bo14b2o4bo3bo18bo3bo$72bobo4b2o14b2o3bo5bo21bo
8b2o$79bobo10bobo4b2obo3bo8b2o8bobo9b2o$92bo7bo5bo8b2o$101bo3bo31bo$
103b2o31bobo$93bo42bo2bo2b2o$91b2o47bob2o14b2o$92b2o44b2o18bo$149b2o5b
obo$88b2o57bo2bo5b2o$88b2o56bo$146bo$102bo43bo26b2o$95b2obo3b4o41bo2bo
6b2o13bo2bo$89b2o2b2obobo4b4o5b2o25b2o8b2o6b2o14bobo$88bobo2b2obob2o3b
o2bo5b2o25b2o28bo4bo$78b2o7b3o8b2o3b4o61b3o$78b2o6b3o8b2o3b4o61bo$87b
3o12bo32bo2bo29b2o$88bobo47bo$44b2o43b2o43bo4bo20bo$44b2o88b2o2bobo18b
obo$139bob2o16bobo$90bo69bo$71b3o14bobo75bo$71bo2bo12bobo17bo18b3o10bo
2bo2b2o18b2o$71bo9b2o3bo2bo16b2o17bo2bo10b2o24bobo$71bo3bo5b2o4bobo15b
2o4b2o2b2o11bo36bobo$71bo3bo12bobo13b3o4b2o2b2o7bo3bo37b2o$71bo18bo4bo
bo7b2o4b2o11bo3bo37bo$72bobo20b2o9b2o20bo13b2o3b2o23bo$96bo10bo17bobo
14b2o3b2o22bobo$43b5o123bobo$42bob3obo95b3o25bo$43bo3bo45b2o49b3o6b2o$
44b3o45b2o51bo7b2o$45bo43bo4bo69b2o$87b2o75bo$88b2o62b2obo$108bo44bobo
18b2o$43bo57b2obo3b4o42bo7b3o9b2o$43bo51b2o2b2obobo4b4o31b2o7b2o7bobo$
42bobo5bo43bobo2b2obob2o3bo2bo5b2o24b2o7b2o3b5ob2o$41b2ob2o2bobo42b3o
8b2o3b4o5b2o33b2o5b3ob2o$40bo5bo2b2o41b3o8b2o3b4o48b3o$43bo49b3o12bo
52b2o$40b2o3b2o39b2o6bobo$85bobo7b2o$85bo$57bo26b2o$58bo$56b3o7b2o5b2o
2b2o5b2o78bo$65bobo5bobo3bo5bo75bob2o$66bo6bo4bo6bobo6b2o66b2o$74bo11b
2o6b3o56b2o$75bo20b2obo8bo17b3o24b2o4b2o$96bo2bo6bobo16bo2bo30b2o$40bo
7b2o46b2obo5bobo11b2o7bo$39b3o7b2o17b3o23b3o7bo2bo11b2o3bo3bo23bob2o$
38b5o5bo18bo2bo23b2o9bobo16bo3bo23bobo$37b2o3b2o22b2o6bo31bobo19bo24bo
$67b2obo2b3o22bo9bo16bobo25b2o$67b2o2b3ob2o19b2o55b2o$42b2o16bo8b5ob2o
20b2o54b2o$44bo15bobo7b5ob3o$41bo19bobo7b3o3bobo12b2o$41bo2bo16bo2bo
14bo11b2o$40b2ob2o16bobo5bo9b2o12bo$41b2o7b2o8bobo5bobo$49bobo8bo6bo3b
o33b2o$49bo18b3o34bo2bo$39b2o3b2o2b2o16b2o3b2o22bo3b3o7bo6b2o$39b2o3b
2o48b5o3bo6bo6b2o$40b5o37b2o9b2ob2o3bo7bo$41bobo38b2o8b3ob2o3bo3bo2bo$
93b2ob4o5b2o$41b3o50b4o$95bo5$42b2o25b2o28b2o$42b2o25b2o28b2o2$126b3o
15bo$125bo2bo14bobo$128bo12b2o3bo14b2o$124bo3bo7b2o3b2o3bo13bobo$124bo
3bo7b2o3b2o3bo12b3o4b2ob3o$128bo14bobo12b3o4bo2b4o$125bobo16bo6bo7b3o
4b2o$100bo48b2o9bobo$99b3o48b2o9b2o$98b5o$97b2o3b2o44bo$98b5o44b2o$98b
o3bo44bobo$99bobo$100bo41bobo$142b2o$143bo12bo7bo$98bo56b4o5bobo$96b2o
b2o49b2o2bo2b2o8b2o$105bo44b2o2b2o11b2o4b2o$95bo5bo4bo40b2o10bo7b2o4b
2o$104b3o39b3o10bo4bobo$95b2obob2o45b2o10bo4bo$141b2o7b2o$140bobo7b2o$
140bo$139b2o$113bo$111bobo7b2o4b3o3bo5b2o$112b2o6bobo4bo5bo6bo$121bo5b
3o10bobo7bo$141b2o7b4o$151b4o7bo$95bo8bo46bo2bo6bobo$94b3o7b2o17b3o25b
4o4b2o3bo9b2o$93b5o5bobo16b2obo24b4o5b2o3bo9b2o$92bobobobo22b2o2bo3bo
20bo8b2o3bo$92b2o3b2o22b4o4b2o30bobo$123bobo3b2o31bo$124b2o25bobo$97b
2o17bo6b2o26b2o$97b2o16bobo5b3o6b2o13bo4bo$99bo14bo3b2o12bobo11b2o$97b
3o14bo3b2o14bo11bobo$95bo18bo3b2o3b3o8b2o$95b5o5b2o8bobo5b3o$96b2o6bob
o9bo5bo3bo33b2o$104bo16bo5bo25bob2o3b3o$103b2o17bo3bo22bo2bo3bo5b2obo
5b2o$94b2o3b2o22b3o22b2o2bo4bo4bo2bo5b2o$95b5o37b2o8b2o5b4o4b2obo$95b
2ob2o37b2o7b3o7bo3b3o$95b2ob2o47b2o11b2o$96b3o49b2o$149bo5$97b2o25b2o$
97b2o25b2o!
Kiran Linsuain
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Kiran
 
Posts: 284
Joined: March 4th, 2015, 6:48 pm

Re: Breeders

Postby Kiran » June 9th, 2015, 1:12 pm

Top half, match the partial guns to align them:
x = 2361, y = 3065, rule = B3/S23
69b2o$68b2o$67bobo$68b3o$69b2o$68b2o$68b3o$68bobo$67bo2bo$67bob2o$68bo
2$71b3o$70bo2bo$73bo$73bo$70bobo15$68bo17bo$67b3o17b2o$66b2obo16b2o$
66b3o$66b3o$66b3o$67b2o5$71b3o$70bo2bo$73bo$73bo$70bobo6$103bo$104b2o$
103b2o7$68bo$67b3o$66b2obo$66b3o$66b3o$66b3o$67b2o5$71b3o$70bo2bo46bo$
73bo47b2o$73bo46b2o$70bobo15$68bo$67b3o$66b2obo$66b3o$66b3o$66b3o$67b
2o5$71b3o$70bo2bo$73bo$73bo$70bobo12$120b3o$120bo2bo$120bo$68bo51bo3bo
$67b3o50bo3bo$66b2obo50bo$66b3o52bobo$66b3o$66b3o$67b2o5$71b3o$70bo2bo
$73bo$73bo$70bobo12$120b3o$120bo2bo$120bo$68bo51bo3bo$67b3o50bo3bo$66b
2obo50bo$66b3o52bobo$66b3o$66b3o$67b2o5$71b3o$70bo2bo$73bo$73bo$70bobo
12$120b3o$120bo2bo$120bo$68bo51bo3bo$67b3o50bo3bo$66b2obo50bo$66b3o52b
obo$66b3o$66b3o$67b2o5$71b3o$70bo2bo$73bo$73bo$70bobo12$120b3o$120bo2b
o$120bo$68bo51bo3bo$67b3o50bo3bo$66b2obo50bo$66b3o52bobo$66b3o$66b3o$
67b2o5$71b3o$70bo2bo$73bo$73bo$70bobo12$120b3o$120bo2bo$120bo$68bo51bo
3bo$67b3o50bo3bo$66b2obo50bo$66b3o52bobo$66b3o$66b3o$67b2o5$71b3o$70bo
2bo$73bo$73bo$70bobo12$120b3o$120bo2bo$120bo$68bo51bo3bo$67b3o50bo3bo$
66b2obo50bo$66b3o52bobo$66b3o$66b3o$67b2o5$71b3o$70bo2bo197b2o$73bo
196b2o$73bo195bobo$70bobo197b3o$271b2o$270b2o$270b3o$270bobo$269bo2bo$
269bob2o$270bo2$273b3o$272bo2bo$275bo$120b3o152bo$120bo2bo148bobo$120b
o$68bo51bo3bo$67b3o50bo3bo$66b2obo50bo$66b3o52bobo$66b3o$66b3o$67b2o5$
71b3o$70bo2bo$73bo196bo17bo$73bo195b3o17b2o$70bobo195b2obo16b2o$268b3o
$268b3o$268b3o$269b2o5$273b3o48bo$272bo2bo49b2o$275bo48b2o$120b3o152bo
$120bo2bo148bobo$120bo$68bo51bo3bo$67b3o50bo3bo$66b2obo50bo$66b3o52bob
o$66b3o236bo$66b3o237b2o$67b2o236b2o5$71b3o$70bo2bo$73bo196bo$73bo195b
3o$70bobo195b2obo$268b3o$268b3o$268b3o$269b2o5$273b3o$272bo2bo46bo$
275bo47b2o$120b3o152bo46b2o$120bo2bo148bobo$120bo$68bo51bo3bo$67b3o50b
o3bo$66b2obo50bo$66b3o52bobo$66b3o$66b3o$67b2o5$71b3o$70bo2bo$73bo196b
o$73bo195b3o$70bobo195b2obo$268b3o$268b3o$268b3o$269b2o5$273b3o$272bo
2bo$275bo$120b3o152bo$120bo2bo148bobo$120bo$68bo51bo3bo$67b3o50bo3bo$
66b2obo50bo$66b3o52bobo$66b3o$66b3o$67b2o4$322b3o$71b3o248bo2bo$70bo2b
o248bo$73bo196bo51bo3bo$73bo195b3o50bo3bo$70bobo195b2obo50bo$268b3o52b
obo$268b3o$268b3o$269b2o5$273b3o$272bo2bo$275bo$120b3o152bo$120bo2bo
148bobo$120bo$68bo51bo3bo$67b3o50bo3bo$66b2obo50bo$66b3o52bobo$66b3o$
66b3o$67b2o4$322b3o$71b3o248bo2bo$70bo2bo248bo$73bo196bo51bo3bo$73bo
195b3o50bo3bo$70bobo195b2obo50bo$268b3o52bobo$268b3o$268b3o$269b2o5$
273b3o$272bo2bo$275bo$275bo$272bobo2$68bo$67b3o$66b2obo$66b3o$66b3o$
66b3o$67b2o4$322b3o$71b3o248bo2bo$70bo2bo248bo$73bo196bo51bo3bo$73bo
195b3o50bo3bo$70bobo195b2obo50bo$268b3o52bobo$268b3o$268b3o$269b2o5$
273b3o$272bo2bo$275bo$120b3o152bo$120bo2bo148bobo$120bo$68bo51bo3bo$
67b3o50bo3bo$66b2obo50bo$66b3o52bobo$66b3o$66b3o$67b2o4$322b3o$71b3o
248bo2bo$70bo2bo248bo$73bo196bo51bo3bo$73bo195b3o50bo3bo$70bobo195b2ob
o50bo$268b3o52bobo$268b3o$268b3o$269b2o5$273b3o$272bo2bo$275bo$120b3o
152bo$120bo2bo148bobo$120bo$68bo51bo3bo$67b3o50bo3bo$66b2obo50bo$66b3o
52bobo$66b3o$66b3o$67b2o4$322b3o$71b3o248bo2bo$70bo2bo248bo$73bo196bo
51bo3bo$73bo195b3o50bo3bo$70bobo195b2obo50bo$268b3o52bobo$268b3o$268b
3o$269b2o$18b2o$18b2o2$5b2o$5b2o266b3o$272bo2bo$5bo13bo255bo$4bobo10b
2ob2o98b3o152bo$4bobo33b2o78bo2bo148bobo$5bo10bo5bo17b2o78bo$68bo51bo
3bo$16b2obob2o30b2o12b3o50bo3bo$2b2obob2o44b2o11b2obo50bo$2bo5bo57b3o
52bobo$3bo3bo13bo44b3o$4b3o11bo2bo44b3o$21bo45b2o$17b2o$17bo36bo$17bob
o33b3o$18b2o18b5o10b3o266b3o$37bob3obo27b3o248bo2bo$7bo30bo3bo8b2o3b2o
12bo2bo248bo$8bo9b2o3b2o14b3o9b2o3b2o15bo196bo51bo3bo$6b3o9bo5bo15bo
32bo195b3o50bo3bo$11bo58bobo195b2obo50bo$11bobo5bo3bo30b2o212b3o52bobo
$11b2o7b3o30bobo212b3o$38bo13b2o2bo211b3o$b5o32bo14b2o214b2o$ob3obo8bo
21bobo5bo7b2o$bo3bo7bobo20b2ob2o2bobo7bo$2b3o9b2o19bo5bo2b2o$3bo19b2o
13bo14bo5bo$23bo11b2o3b2o11bo5bo213b3o193b2o$24b3o20bo6bo3bo213bo2bo
192b2o$26bo20bobo5b3o217bo191bobo$3b2o42b2o71b3o152bo192b3o$3b2o115bo
2bo148bobo194b2o$120bo347b2o$68bo51bo3bo343b3o$35b2o30b3o50bo3bo343bob
o$36bo29b2obo50bo346bo2bo$15b2o16b3o30b3o52bobo343bob2o$15b2o16bo32b3o
399bo$30bo24b2o9b3o$28bobo24b2o10b2o402b3o54bo$29b2o439bo2bo55b2o$473b
o54b2o$473bo$23bo8bo289b3o145bobo$23b3o6bobo8b2o26b3o248bo2bo$26bo5b2o
9b2o25bo2bo248bo$25b2o46bo196bo51bo3bo$73bo195b3o50bo3bo$70bobo195b2ob
o50bo$27b3o238b3o52bobo$27b3o238b3o$26bo3bo237b3o$25bo5bo237b2o$26bo3b
o14bo$27b3o13bobo$44b2o2$273b3o$272bo2bo192bo17bo$42bo232bo191b3o17b2o
$43b2o75b3o152bo190b2obo16b2o$42b2o76bo2bo148bobo191b3o$25b2o93bo345b
3o$26bo41bo51bo3bo341b3o$23b3o13bo27b3o50bo3bo342b2o$23bo15bobo24b2obo
50bo$27b2o11bobo23b3o52bobo$27b2o11bo2bo22b3o$40bobo17bo5b3o$39bobo3bo
12bobo6b2o402b3o$39bo5bo13b2o409bo2bo52bo$44b3o426bo53b2o$473bo52b2o$
58bo263b3o145bobo$44b3o9bobo12b3o248bo2bo$45bo11b2o11bo2bo248bo$45bo
27bo196bo51bo3bo$45bo27bo195b3o50bo3bo$45bo24bobo195b2obo50bo$44b3o
221b3o52bobo177bo$268b3o233b2o$268b3o232b2o$44b3o222b2o$45bo$45bo3$
273b3o$75b2o195bo2bo192bo$74b2o199bo191b3o$76bo43b3o152bo190b2obo$120b
o2bo148bobo191b3o$120bo345b3o$120bo3bo341b3o$120bo3bo342b2o$56b2o62bo$
56b2o63bobo$95b2o$95b2o$471b3o$63b2o405bo2bo46bo$62bobo408bo47b2o$55b
3o4bobob2o35bo369bo46b2o$63bobobo22b2o11b3o216b3o145bobo$55bobo7bo5b3o
15b2o15bo215bo2bo$54b5o6b2o3bo2bo11bo5bo13b2o215bo$53b2o3b2o5b3o5bo11b
3o182bo51bo3bo$53b2o3b2o5b3o5bo14bo180b3o50bo3bo$65b3o2bobo14b2o179b2o
bo50bo$65b2o41bo159b3o52bobo$55b2o8bo42bo159b3o$54b2ob2o4bobobo11b2o
26bobo158b3o$55bo2bo3bobob2o11b2o25b2ob2o158b2o$55bo6bobo35b2o3bo5bo$
58bo4b2o35b2o6bo$56b2o40b3o4b2o3b2o$90bo7b2o$89b3o5bobo173b3o$51b2o3b
2o30b5o11b3o165bo2bo192bo$52b5o5bo8b3o5b3o5b2o3b2o9b2obo168bo191b3o$
53b3o7b2o6bo2bo3bo3bo5b5o10b2o15b3o152bo190b2obo$54bo7b2o7bo16b5o11b2o
14bo2bo148bobo191b3o$71bo5bo5bo5bo2bo12bobo12bo345b3o$72bobo2b2o3b2o5b
o3bo11bo2b2o10bo3bo341b3o$93bo26bo3bo342b2o$90b2obo26bo$77b2o13bo28bob
o$76bobo$76bo$76b2o11b2o3b2o8b5o362b3o$57bo22bo8bo5bo7bob3obo360bo2bo$
56b3o7b2o9bo2bo23bo3bo364bo$56b3o8b2o11bo9bo3bo10b3o365bo$66bo24b3o12b
o215b3o145bobo$54b2o3b2o261bo2bo$54b2o3b2o14b2obob2o240bo$270bo51bo3bo
$75bo5bo23b2o162b3o50bo3bo$59b2o44b2o161b2obo50bo$59bobo14b2ob2o187b3o
52bobo$61b2o15bo13b2o174b3o$60b2o30b2o174b3o$60b2o207b2o$56b3o2$77b2o
441b3o$77b2o441bo2bo$273b3o244bo$56b2o3b2o209bo2bo192bo51bo3bo$275bo
191b3o50bo3bo$57bo3bo58b3o152bo190b2obo50bo$58b3o59bo2bo148bobo191b3o
52bobo$58b3o59bo345b3o$120bo3bo341b3o$120bo3bo342b2o$120bo$121bobo$58b
2o$58b2o$471b3o$470bo2bo$473bo$473bo$322b3o145bobo$322bo2bo$322bo$270b
o51bo3bo$269b3o50bo3bo$93b2o173b2obo50bo$71b2o20b2o173b3o52bobo$71b2o
195b3o$141bo126b3o$72bo68bobo125b2o$71bobo20bo49b2o6b2o$66b2o2bo2bo19b
obo34b2o12b2o4bo3bo$50b2o14b2obo22bo3bo33b2o12b2o3bo5bo8b2o354b3o$51bo
18b2o21b3o45bobo4b2obo3bo8b2o354bo2bo$51bobo8bo28b2o3b2o43bo7bo5bo117b
3o244bo$52b2o7b2o2b2o83bo3bo117bo2bo192bo51bo3bo$60b2o90b2o121bo191b3o
50bo3bo$59b3o4b2o52b3o19bo132bo190b2obo50bo$60b2o4b2o52bo2bo16b2o130bo
bo191b3o52bobo$34b2o15b2o8b2o29bo27bo20b2o323b3o$34b2o15b2o9bo29bo27bo
3bo341b3o$92bob3o23bo3bo342b2o$120bo$97bo23bobo22b2o$71bo2bo19bob2o47b
2o10bobo$71bo22b2o51bo8bo2bo4bo$48b3o19bo4bo66b2o11b2o5b2o307b3o$47bo
3bo17bobo2b2o66bobo8b2o3bo8b2o301bo2bo$46bo5bo14b2obo18b2o3b2o49bo9b2o
10b2o304bo$43bo2bo3b2o37b2o3b2o46bo2bo10bo2bo313bo$43bo3b2o41b5o7bo42b
o11bobo310bobo$43bo23bo2bo20bobo9bo31b2o5bobo$69b2o30b3o23bo6bobo5b2o$
91b3o31b2o7bo135bo$43bo82b2o5b2o134b3o$38b2o3bo224b2obo$35b2o3bo2bo19b
3o49b2o16b2o133b3o$34bo5bo10b3o8bo3bo22bo11bobo10bobo17bo133b3o$35bo3b
o13bo7bo5bo20b3o9b2o13bo18bobo8b2o121b3o$36b3o13bo8b2obob2o19bo3bo7b3o
bo26b2o3b2o8b2o122b2o$55b2o32bo9b3o27b2o11b2o10bo4bo$55bobo28bo5bo8bo
29bo9b3o10bo4bobo$56b3o5bo21bo5bo49b2o10bo7b2o4b2o350b3o$57b2o4bobo21b
o3bo53b2o2b2o11b2o4b2o350bo2bo$54b2o7bobo22b3o54b2o2bo2b2o8b2o109b3o
244bo$34b2o18b3o7bo52b2o31b4o5bobo110bo2bo192bo51bo3bo$34b2o57b2o21bo
2bo31bo7bo115bo191b3o50bo3bo$49b2o13b2o28b2o21b2o156bo190b2obo50bo$49b
2o4b2o7b2o27bo13bo9bo154bobo191b3o52bobo$55b2o48bobo18b2o338b3o$103b2o
21bobo337b3o$103b2o23bo338b2o$45b3o55b2o23b2o$47bo51b2o4bobo$45bo45bo
6bobo6bo37b2o9b2o$45b2o43b3o5bo45b2o9bobo$44b2o44b3o4b2o40bo6bo7b3o4b
2ob3o304b3o$43bo2bo91bobo12b3o4bo2b4o303bo2bo$44bo43b2o3b2o20b2o3b2o9b
2o3b2o3bo12b3o4b2o310bo$47b2ob2o36b2o3b2o36b2o3b2o3bo13bobo315bo$45b3o
b2o4b2o59bo3bo15b2o3bo14b2o164b3o145bobo$45b3o6bobo60b3o18bobo181bo2bo
$53b3o35bo25b3o19bo182bo$53b2o35bobo177bo51bo3bo$56b2o31b2o178b3o50bo
3bo$55b3o31b2o129b2o46b2obo50bo$89b3o128b2o46b3o52bobo$90bobo25b2o148b
3o$55b2o34b2o25b2o87b2o59b3o$55b2o150b2o60b2o3$520b3o$207bo13bo20b2o
276bo2bo$206bobo11b3o17bo2bo29b3o244bo$205bo3bo9b5o48bo2bo192bo51bo3bo
$206b3o9bobobobo14bo15b2o18bo191b3o50bo3bo$204b2o3b2o7b2o3b2o30b2o18bo
190b2obo50bo$240b2o30bobo191b3o52bobo$242bo223b3o$221bo244b3o$220bobo
244b2o$205bo14bob2o15b2o3b2o$205bo15b3o15b2o3b2o$205bob3o11bo2bo15b5o$
222b3o16bobo$210bo10bo3bo30bo214b3o$207bob2o9bo5bo14b3o11b3o212bo2bo$
207b2o6bo5bo3bo28b5o214bo$214bo7b3o28b2o3b2o213bo$214b3o37b5o63b3o145b
obo$202b2o3b2o45bo3bo63bo2bo$202b2o3b2o3b2o41bobo64bo$203b5o4b2o31bo
10bo13bo51bo3bo$204bobo39bo22b3o50bo3bo$244b3o21b2obo50bo$204b3o33bo
17bo9b3o52bobo$239b3o14b2ob2o7b3o$225b2o11b5o25b3o$225bo11b2o3b2o11bo
5bo7b2o$226b3o21b2o$223bo4bo21b2o3b2obob2o$205b2o14bobo296b3o$205b2o
15b2o15b3o278bo2bo$239b3o31b3o244bo$272bo2bo192bo51bo3bo$237b2o4bo31bo
191b3o50bo3bo$238bo4bobo29bo190b2obo50bo$217b2o16b3o5b2o27bobo191b3o
52bobo$217b2o16bo230b3o$257b2o207b3o$257b2o208b2o4$225bo$225b3o10bo6b
2o224b3o$228bo7bobo6b2o223bo2bo$227b2o8b2o234bo$473bo$322b3o145bobo$
322bo2bo$230bo4bo86bo$230bo5b2o32bo51bo3bo$229bobo3b2o32b3o50bo3bo$
228b2ob2o35b2obo50bo$227bo5bo34b3o52bobo$230bo37b3o$227b2o3b2o34b3o
461bo$269b2o462b2o$732b2o$253bo$251bobo266b3o$252b2o266bo2bo$227b2o44b
3o244bo$228bo43bo2bo192bo51bo3bo$225b3o10b2o11bo23bo191b3o50bo3bo$225b
o12b2o9bobo23bo190b2obo50bo$229b2o3bo6b2o7b2o20bobo191b3o52bobo$229bob
o3bo5b3o222b3o$230b5o6b2o223b3o$231b3o4b2o227b2o$238b2o2$247bo$246b3o$
245b2ob2o18bo202b3o$244b3ob3o15bobo201bo2bo$244b3ob3o16b2o204bo193b2o$
244b3ob3o222bo192b2o$244b3ob3o71b3o145bobo192bobo$245b2ob2o16bo55bo2bo
340b3o$246b3o15bobo55bo344b2o$247bo17b2o55bo3bo339b2o$271b2o49bo3bo
339b3o$270b2o50bo343bobo$272bo50bobo339bo2bo$665bob2o$666bo$730bo$669b
3o59b2o$668bo2bo58b2o$520b3o148bo$520bo2bo147bo$273b3o244bo147bobo$
272bo2bo192bo51bo3bo$275bo191b3o50bo3bo$258b2o15bo190b2obo50bo$258b2o
12bobo191b3o52bobo$286b2o9b2o167b3o$285b2o10b2o167b3o$287bo179b2o$265b
2o$264bobo$264bobob2o35bo$265bobobo35b3o$267bo40bo162b3o$257b3o7b2o18b
o19b2o161bo2bo$256bo3bo6b3o17b3o183bo$255bo5bo5b3o3b3o14bo182bo192bo
17bo$255bo5bo5b3o3bo2bo12b2o31b3o145bobo192b3o17b2o$258bo8b2o4bo48bo2b
o338b2obo16b2o$256bo3bo6bo5bo48bo341b3o$257b3o5bobobo4bobo4b2o39bo3bo
337b3o$258bo5bobob2o11b2o18b2o7bo11bo3bo337b3o$264bobo33b2o7b3o10bo
342b2o$265b2o35bo5b5o10bobo$255b3o49b2o3b2o$255b3o31b2o3b2o$254bo3bo
31b5o3b2o424bo$262bobo25b2ob2o4b2o6b2o360b3o53b2o$253b2o3b2o3b2o25b2ob
2o3bo7bo361bo2bo52b2o$263bo27b3o15bo210b3o148bo$273b3o30bo2bo210bo2bo
147bo$281b3o22b2ob2o209bo147bobo$272bo2bo4bo3bo23b2o158bo51bo3bo$273bo
b2o2bo5bo181b3o50bo3bo$280bo3bo8b3o170b2obo50bo$275b2o4b3o9b3o9b2o3b2o
154b3o52bobo$280bo2bo8bo3bo8b2o3b2o154b3o$280b3o8bo5bo8b5o155b3o232bo$
279bob2o9bo3bo10bobo157b2o233b2o$279bobo11b3o405b2o$280bo26b3o$267bo$
259bo7b2o$258b3o5bobo8b2o3b2o187b3o$257b5o15bobobobo186bo2bo$256b2o3b
2o15b5o190bo$257b5o17b3o25b2o164bo192bo$257b5o18bo26b2o13b3o145bobo
192b3o$258bo2bo60bo2bo338b2obo$258bo3bo31b2o26bo341b3o$262bo31b2o26bo
3bo337b3o$259b2obo59bo3bo337b3o$261bo60bo342b2o$323bobo$279b2o$258b2o
3b2o14b2o$258bo5bo$669b3o$259bo3bo404bo2bo46bo$260b3o257b3o148bo47b2o$
520bo2bo147bo46b2o$520bo147bobo$468bo51bo3bo$467b3o50bo3bo$466b2obo50b
o$466b3o52bobo$260b2o204b3o$260b2o204b3o$467b2o5$471b3o$470bo2bo$473bo
$473bo192bo$295b2o25b3o145bobo192b3o$273b2o20b2o25bo2bo338b2obo$273b2o
47bo341b3o$322bo3bo14b2o321b3o$274bo47bo3bo14bo2bo319b3o$273bobo46bo
10b5o7bo9bobo307b2o$268b2o2bo2bo47bobo6bo5bo6bo7bo3bo$252b2o14b2obo24b
o35bo3b2o7bo7bo12b2o$253bo18b2o21b3o35bo7bo2bo7bo4bo8b2o$253bobo7bo31b
3o43b2o10bo$254b2o7bobo87bo3bo311b3o$266b2o25b2o3b2o55bobo310bo2bo$
266b2o25b2o3b2o220b3o148bo$252b2o12b2o74b2o176bo2bo147bo$236b2o9b2o5bo
8bobo76b2o176bo147bobo$236b2o16bo8bo31b2o171bo51bo3bo$246bo6bo41bobo
169b3o50bo3bo$246bo3b2o42bo2b2o167b2obo50bo$296b2o40bo127b3o52bobo$
247b3o23bo2bo19b2o38b2o12bo10bo104b3o$273bo23bo39b2o10b2o9b2o104b3o$
239bo32bo4bo66bo4bobo7b2o4b2o100b2o$238bobo30bobo2b2o13bo5bo44bobo13b
3o4b2o2b2o$238bobo28b2obo18bo5bo43bobo15b2o4b2o2b2o$239bo52bo3bo6bo36b
o2bo16b2o$244bo48b3o5bobo37bobo17bo$243bobo23bo2bo29b2o33b2o3bobo126b
3o244b3o$246b2o23b2o63bobo5bo125bo2bo244bo2bo$243b2o91bo136bo244bo$
245bobo87b2o136bo192bo51bo3bo$246bo75b3o145bobo192b3o50bo3bo$251bo58bo
6b2o2bo2bo10b2o327b2obo50bo$250bobo58bo4bobobo15bo327b3o52bobo$250bobo
56b3o5bo3bo2bo11bobo10bo314b3o$251bo11b2o3b2o21bo29bob2o12b2o9b4o312b
3o$257b2o6b3o21b2ob2o7b2o44b2ob4o5b2o304b2o$241b3o13bobo4bo3bo33b2o13b
2o27b3ob2o3bo3bo2bo$258b3o4bobo20bo5bo6bo45b2ob2o3bo7bo6b2o$239b2o3bo
14b2o5bo81b5o3bo6bo6b2o$237bo6bo11b2o30b2obob2o54bo3b3o7bo$236bo19b3o
100bo2bo306b3o$236bo5b2o78bo36b2o307bo2bo$237b2o12b2o13b2o26b2o224b3o
148bo$251b2o4b2o7b2o25bobo14b2o29b2o4bo172bo2bo147bo$257b2o35bo13bo2bo
3b2o11b2o10b2o3b2o173bo147bobo$293b2o12bo7b3o10bobo11bo3b2o120bo51bo3b
o$293b3o11bo6bo15bo136b3o50bo3bo$294b2o11bo22b2o134b2obo50bo$292bo8b2o
5bo2bo154b3o52bobo$300bobo7b2o37b2o9bo105b3o$300bo47b4o7bobo104b3o$
299b2o16b2o3b2o19bobo2bo2b3o5b2obo4b2o98b2o$247b2o44bo23bo5bo18bo2bo2b
2o9b2ob2o3b2o$246bo2b2o41b3o38b2o6b2o9bo6b2obo$246b2o2bo40b5o22bo3bo
10b2o4b2o3bo8bo5bobo$247b2o8b2o31b2o3b2o22b3o19b2o10bo6bo$249b2obo3bob
o32b5o46bo2bo125b3o244b3o$250bobo2b3o33bo3bo47bobo124bo2bo244bo2bo$
255b2o35bobo178bo244bo$258b2o33bo124b2o53bo192bo51bo3bo$257b3o158b2o
50bobo192b3o50bo3bo$664b2obo50bo$293b2o25b2o83b2o257b3o52bobo$257b2o
34b2o25b2o83b2o257b3o$257b2o405b3o$665b2o2$440b2o$440b2o$405bo$404b3o
46b2o214b3o$404b3o10b5o18bo12b2o213bo2bo$416bob3obo16b3o229bo$402b2o3b
2o8bo3bo16bo3bo228bo$402b2o3b2o9b3o19bo227bobo$419bo17bo5bo11b2o11bo$
437bo5bo23b3o$404b2o32bo3bo23b2obo$404bobo32b3o24b3o$403bo2b2o13bo44b
3o$405b2o14bo29b2o3b2o8b3o$405b2o7bo5bobo29b5o10b2o$406bo7bobo2b2ob2o
28b2ob2o$414b2o2bo5bo17bo9b2ob2o$400bo5bo14bo31b3o$400bo5bo11b2o3b2o$
401bo3bo6bo29bo28b3o244b3o$402b3o5bobo27bobo27bo2bo244bo2bo$411b2o28b
2o30bo244bo$473bo192bo51bo3bo$470bobo192b3o50bo3bo$450bo213b2obo50bo$
423b2o10b2o3b2o8bobo3bo207b3o52bobo$423bo26b2o3b3o206b3o$424b3o9bo3bo
13b5o205b3o$426bo10b3o13bobobobo205b2o$403b2o32b3o13b2o3b2o$403b2o2$
456bo$435b2o18bobo211b3o$427bo8bo18bobo210bo2bo$415b2o8bobo5b3o20bo63b
3o148bo$415b2o9b2o5bo21b2o63bo2bo147bo$455b2o63bo147bobo$455b2o11bo51b
o3bo$435bo31b3o50bo3bo$435bobo28b2obo50bo$435b2o29b3o52bobo$423bo42b3o
$423b3o17b2o21b3o$426bo16b2o22b2o$425b2o4$442bo28b3o244b3o$440bobo27bo
2bo244bo2bo$441b2o30bo244bo$428bo44bo192bo51bo3bo$427b3o40bobo192b3o
50bo3bo$426b5o233b2obo50bo$425b2o3b2o7bo224b3o52bobo$440b2o222b3o$439b
2o223b3o$429bo235b2o$429bo2$425b2o$426bo$423b3o9bo233b3o$423bo9b4o20bo
210bo2bo$427b2o3bobob2o17bobo62b3o148bo$427b2o2bo2bob3o17b2o62bo2bo
147bo$432bobob2o82bo147bobo$433b4o31bo51bo3bo$435bo8b3o8bo11b3o50bo3bo
$444b3o6bobo10b2obo50bo$445bo8b2o10b3o52bobo$445bo20b3o$445bo20b3o467b
o$444bobo20b2o468b2o$936b2o2$444bobo$445bo$445bo25b3o244b3o$445bo24bo
2bo244bo2bo$444b3o26bo244bo$444b3o26bo192bo51bo3bo$470bobo192b3o50bo3b
o$664b2obo50bo$664b3o52bobo$664b3o$664b3o$665b2o2$478b2o$477b2o$479bo$
669b3o$456b2o210bo2bo$456b2o62b3o148bo$495b2o23bo2bo147bo$495b2o23bo
147bobo$520bo3bo$463b2o55bo3bo$462bobo55bo$462bobob2o35bo17bobo$463bob
obo35b3o$465bo40bo$453b2obob2o5b2o18bo19b2o427bo$465b3o17b3o5b2o440b2o
$453bo5bo5b3o20bo3b2o440b2o$465b3o19b2o5bo$454b2ob2o6b2o21b3o$456bo8bo
5b3o15bobo226b3o$463bobobo2bo2bo5b2o8bobo226bo2bo$462bobob2o5bo5b2o9bo
227bo$462bobo8bo26b2o164bo51bo3bo$463b2o5bobo27b2o3b2o3b2o153b3o50bo3b
o$482bo4b2obob2o170b2obo50bo$459bo21bo5bo5bo12bo3bo153b3o52bobo$453b3o
4b2o19bo6bo3bo14b3o154b3o$452bo3bo2b2o28b3o3bo11b3o154b3o$495b2o168b2o
$451bo5bo19b2o3b2o10bobo$451b2o3b2o22bo25bo$473b2o2bo5bo21b3o$473bobo
2b2ob2o21bo3bo$466bobo4bo5bobo24bo162b3o$467b2o11bo22bo5bo158bo2bo$
467bo3bo8bo11bo10bo5bo10b3o148bo$471b2o19bo11bo3bo11bo2bo147bo$470bobo
18bobo11b3o12bo147bobo$490b2ob2o25bo3bo$478bo10bo5bo24bo3bo$477b3o12bo
27bo$476bo3bo8b2o3b2o25bobo$454b2o3b2o14bob3obo$455b5o3b2o11b5o$455b2o
b2o4b2o25bo436bo$455b2ob2o3bo27bo373b2o62b2o$456b3o31bo14b2o357b2o62b
2o$505b2o356bobo$864b3o$492b2o224b3o144b2o$492b2o224bo2bo142b2o$458b3o
257bo145b3o$458b3o205bo51bo3bo141bobo$457bo3bo203b3o50bo3bo140bo2bo$
456bo5bo14b2o185b2obo50bo144bob2o$457bo3bo15b2o185b3o52bobo142bo$458b
3o203b3o$664b3o200b3o$665b2o199bo2bo$869bo$869bo$866bobo2$669b3o$668bo
2bo$520b3o148bo$458b2o60bo2bo147bo$458b2o60bo147bobo$520bo3bo$520bo3bo
$520bo$521bobo5$864bo17bo39bo$493b2o368b3o17b2o38b2o$471b2o20b2o367b2o
bo16b2o38b2o$471b2o245b3o141b3o$538bo179bo2bo140b3o$472bo64bobo178bo
143b3o$471bobo61b2o3bo14b2o109bo51bo3bo140b2o$466b2o2bo2bo56b2o3b2o3bo
13bobo108b3o50bo3bo$450b2o14b2obo60b2o3b2o3bo12b3o4b2ob3o98b2obo50bo$
451bo18b2o65bobo12b3o4bo2b4o98b3o52bobo$451bobo5b2o77bo6bo7b3o4b2o102b
3o$452b2o5bo2bo31bo48b2o9bobo107b3o200b3o$463bo29b3o48b2o9b2o108b2o
199bo2bo$463bo28b5o372bo$463bo27b2o3b2o371bo$434b2o15b2o6bo2bo29b5o
369bobo$434b2o15b2o6b2o31bo3bo$493bobo173b3o$494bo173bo2bo$520b3o148bo
$438b3o4bo25bo2bo45bo2bo26bo7bo112bo$437bo3bo2bobo24bo20bo27bo28b4o5bo
bo107bobo228bo$436bo3b2o3b3o22bo4bo14b2ob2o25bo3bo19b2o2bo2b2o8b2o337b
2o$437b3obo5b2o20bobo2b2o23bo20bo3bo19b2o2b2o11b2o4b2o330b2o$438bo7bob
o11b2o5b2obo18bo5bo4bo19bo20b2o10bo7b2o4b2o$441bo5bo12b2o36b3o20bobo6b
o9b3o10bo4bobo$489b2obob2o32b2o11b2o10bo4bo$463b2o2bo2bo58b2o4b2o7b2o$
469b2o33b2o28bobo7b2o$504bobo27bo$504bobo26b2o329bo$503bo359b3o$439bo
5bo15b2o3b2o34b5o8b2o16b2o327b2obo$438bobo7bo12b2o3b2o34bo3bo7bobo17bo
183b3o141b3o$438b2o5bob3o55bo9bo18bobo7bo173bo2bo140b3o$439b3o3b2o3bo
12b3o69b2o7b4o170bo143b3o$440bobo2bo3bo5b2o6b3o79b4o7bo109bo51bo3bo
140b2o$441bo4b3o6bobo6bo24bo8bo46bo2bo6bobo107b3o50bo3bo$456b3o29b3o7b
2o14bo18b2o10b4o4b2o3bo9b2o94b2obo50bo$457b2o28b5o5bobo15bo16b2o10b4o
5b2o3bo9b2o94b3o52bobo$454b2o30bobobobo20b3o18bo9bo8b2o3bo105b3o$434b
2o18b3o29b2o3b2o62bobo106b3o200b3o$434b2o120bo108b2o199bo2bo46bo$464b
2o79bobo321bo47b2o$445bo9b2o7b2o25b2o17bo34b2o322bo46b2o$442bobo10b2o
34b2o16bobo14b2o18bo319bobo$441b2obo48bo14bo3b2o12bobo$442b2o4bo42b3o
14bo3b2o14bo12b2o126b3o$445b5o39bo18bo3b2o3b3o8b2o11b2o125bo2bo$444b3o
2bo39b5o5b2o8bobo5b3o151bo$443bo3b2o41b2o6bobo9bo5bo3bo33b2o115bo$444b
ob2o50bo16bo5bo25bob2o3b3o111bobo$446b2o49b2o17bo3bo22bo2bo3bo5b2obo5b
2o$488b2o3b2o22b3o22b2o2bo4bo4bo2bo5b2o$489b5o37b2o8b2o5b4o4b2obo$489b
2ob2o37b2o7b3o7bo3b3o$455b2o32b2ob2o47b2o11b2o$449b2o3bobo33b3o49b2o$
449b2o2b3o87bo$453b2o$456b2o406bo$455b3o405b3o$616b2o244b2obo$491b2o
25b2o96bo2bo98b3o141b3o$455b2o34b2o25b2o198bo2bo140b3o$455b2o146b2o15b
o97bo143b3o$603b2o61bo51bo3bo140b2o$618b2o45b3o50bo3bo$617bo46b2obo50b
o$664b3o52bobo$638b2o24b3o$614b2o3b2o17b2o24b3o200b3o$614b2o3b2o44b2o
199bo2bo$615b5o31b2o216bo$616bobo32b2o216bo$603bo262bobo$602b3o11b3o
19bo13bo$601b5o30b2ob2o10bobo15b3o$600b2o3b2o44bobo14bo2bo$601b5o29bo
5bo10bo18bo$601bo3bo65bo$602bobo30b2obob2o26bobo$603bo10bo34b2obob2o$
613bo35bo5bo$613b3o20bo13bo3bo$601bo17bo16bo2bo11b3o$599b2ob2o14b3o15b
o$617b5o17b2o275b3o$598bo5bo11b2o3b2o17bo275bo2bo$608b2o28bobo275bo$
598b2obob2o3b2o28b2o224bo51bo3bo$863b3o50bo3bo$618b3o29bo211b2obo50bo$
618b3o12b2o3b2o9bo68b3o141b3o52bobo$633bo5bo9b3o66bo2bo140b3o$616bo4b
2o23bo71bo143b3o$614bobo4bo12bo3bo5bobo19bo51bo3bo140b2o$615b2o5b3o10b
3o7b2o18b3o50bo3bo$624bo39b2obo50bo$601b2o49b5o7b3o52bobo$601b2o39bo8b
ob3obo6b3o$642bobo7bo3bo7b3o200b3o$642b2o9b3o9b2o199bo2bo$633b2o19bo
214bo$634bo234bo$613b2o16b3o232bobo$613b2o16bo$653b2o14b3o$653b2o13bo
2bo$671bo$631bo39bo$629bobo36bobo$621bo8b2o$621b3o17b2o$624bo16b2o$
623b2o$628bo$629b2o285b3o$628b2o286bo2bo$916bo$864bo51bo3bo$863b3o50bo
3bo$862b2obo50bo$862b3o52bobo$623b2o3b2o232b3o$646bo215b3o$624bo3bo15b
obo19bo196b2o$625b3o17b2o18b3o$625b3o36b2obo$664b3o$664b3o$623b2o39b3o
200b3o$624bo19b2o19b2o199bo2bo$621b3o12bo5bobo224bo$621bo11b4o4bob2o
224bo$625b2o5b4o6bo223bobo$625b2o5bo2bo$632b4o33b3o$633b4o31bo2bo$636b
o34bo$642b3o16bo9bo$641bo3bo13bobo6bobo$641bo3bo14b2o$642b3o2$659bo$
657bobo$658b2o256b3o$642b3o271bo2bo$641bo3bo270bo$641bo3bo218bo51bo3bo
$642b3o218b3o50bo3bo$862b2obo50bo$718b3o141b3o52bobo$670b2o46bo2bo140b
3o$669b2o47bo143b3o$671bo46bo3bo140b2o$718bo3bo$718bo$719bobo418bo$
1141b2o$867b3o270b2o$866bo2bo$869bo$654b2o213bo$654b2o210bobo$654b2o
37b2o$654bo14b3o21b2o$653bobo12bo2bo$653bobo5b2o8bo13b2o$654bo5bobo8bo
12b2o$660bobob2o2bobo15bo14bo$661bobobo35b3o$651b2o3b2o5bo40bo$651bobo
bobo5b2o18bo19b2o$652b5o6b3o17b3o$653b3o7b3o20bo20bo$654bo8b3o19b2o20b
o208b3o$663b2o41bo209bo2bo$663bo252bo$661bobobo11b2o9bo175bo51bo3bo$
660bobob2o11b2o8bobo13b2o3b2o153b3o50bo3bo$660bobo6b3o14bo3bo12bo5bo
152b2obo50bo$661b2o6bo2bo14b3o28b3o141b3o52bobo$655bobo11bo7b3o5b2o3b
2o8b2o2bo3bo9bo2bo140b3o$656b2o11bo7b3o19b2o4b3o10bo143b3o$656bo13bobo
28bo16bo3bo140b2o$718bo3bo$718bo$651b3o21b2o3b2o9b2o26bobo$650bo3bo21b
5o11b2o444bo$649bo5bo7bo13b3o11bo175b3o269b2o$650bo3bo9b2o12bo25bo161b
o2bo268b2o$651b3o9b2o7b3o27b2ob2o162bo$651b3o18bo196bo$655bo17bo27bo5b
o158bobo$654bobo$654bobo10b2o32b2obob2o$655bo12b2o20bo$667bo21b3o$688b
5o$652b2obob2o16b3o9b2o3b2o$652bo5bo$653bo3bo17bobo$654b3o3bo13b5o$
660b2o11b2o3b2o9b3o$659bobo11b2o3b2o9b3o11b2o$703b2o211b3o$916bo2bo$
676bo13b2o224bo$677b2o11b2o172bo51bo3bo$863b3o50bo3bo$657bo21bo182b2ob
o50bo$657bo60b3o141b3o52bobo$656bobo16bo2bo39bo2bo140b3o$655b2ob2o15b
2o41bo143b3o$654bo5bo57bo3bo140b2o$657bo60bo3bo$654b2o3b2o57bo$719bobo
$1132bo$658bo208b3o263b2o$658bo207bo2bo262b2o$659bo209bo$869bo$866bobo
$656b2o$656b2o10$691b2o223b3o$669b2o20b2o223bo2bo$669b2o245bo$738bobo
123bo51bo3bo$670bo66bo2bo122b3o50bo3bo$669bobo21b2o41b2o10bo6bo106b2ob
o50bo$664b2o2bo2bo46b3o7b2o4b2o3bo8bo5bobo105b3o52bobo$648b2o14b2obo
50bo2bo6b2o6b2o9bo6b2obo4b2o98b3o$649bo18b2o48bo18bo2bo2b2o9b2ob2o3b2o
98b3o$649bobo4bo61bo3bo15bobo2bo2b3o5b2obo105b2o$650b2o3bobo31b2o3b2o
22bo3bo20b4o7bobo$653b2o3bo31b5o23bo25b2o9bo$653b2o3bo31b2ob2o24bobo$
653b2o3bo31b2ob2o$632b2o15b2o4bobo33b3o173b3o$632b2o15b2o5bo80bo3b2o
123bo2bo256bo$735b2o3b2o127bo257b2o$736b2o4bo126bo256b2o$866bobo$669bo
2bo81b2o$669bo84bo2bo305b2o$646b3o19bo4bo22bo47bo3b3o7bo303b2o$645bo3b
o17bobo2b2o16bo3bobo46b5o3bo6bo6b2o294bobo$644bo5bo14b2obo20b3o3b2o45b
2ob2o3bo7bo6b2o295b3o$641bo2bo3b2o38b5o48b3ob2o3bo3bo2bo305b2o$641bo3b
2o40bobobobo48b2ob4o5b2o306b2o$641bo20bo2bo2bo18b2o3b2o39b2o8b4o315b3o
$661bobo3b2o63bobo9bo317bobo$660bo3bo38bo28bo328bo2bo$641bo18b5o39bo
26b2o328bob2o$636b2o3bo17b2o3b2o36b3o211b3o143bo$633b2o3bo2bo18b5o48b
2o5b2o2b2o5b2o183bo2bo$632bo5bo10b3o9b3o48bobo6b2o3bo5bo183bo148b3o$
633bo3bo13bo10bo50bo8bob2o6bobo6b2o121bo51bo3bo143bo2bo$634b3o13bo82b
3o5bobo119b3o50bo3bo146bo$653b2o80b3o6bo11bobo103b2obo50bo150bo$653bob
o79bo2bo2bo2bo10bo2bo103b3o52bobo144bobo$654b3o79b2o6bo9b2o10b2o94b3o$
655b2o37b2o19b2o24bobo8b2o3bo8b2o94b3o$652b2o41b2o17bo2bo23b2o11b2o5b
2o100b2o$632b2o18b3o30b5o4bo19bo4bo26bo8bo2bo4bo$632b2o50bob3obo24b6o
23b2o10bobo$647b2o13b2o21bo3bo28bob2o23b2o$647b2o4b2o7b2o22b3o15bobo
11bobo$653b2o32bo16bo2bo10b2o4b2o141b3o$688b2o17b2o15bobo139bo2bo$688b
obo14bo3b2o15bo13b2o127bo$643b3o42bobo16b2o17b2o11b2o128bo$645bo43bo7b
2o5bo2bo8bo24bo124bobo$643bo52bobo5bobo9bo34b2o$643b2o51bo18bobo31bo3b
o$642b2o42b2obob2o2b2o17b2ob2o21bo7bo5bo8b2o297bo17bo$641bo2bo41bo5bo
20bo5bo20bobo4b2obo3bo8b2o296b3o17b2o$642bo44bo3bo24bo12b2o12b2o3bo5bo
305b2obo16b2o$645b2ob2o38b3o22b2o3b2o9b2o12b2o4bo3bo306b3o$643b3ob2o4b
2o88b2o6b2o307b3o$643b3o6bobo85bobo317b3o$651b3o61bo24bo320b2o57bo$
651b2o62bo405b2o$654b2o58bo405b2o$653b3o260b3o$916bo2bo$689b2o25b2o
198bo148b3o$653b2o34b2o25b2o146bo51bo3bo143bo2bo$653b2o208b3o50bo3bo
146bo$862b2obo50bo150bo$862b3o52bobo144bobo$862b3o$862b3o$863b2o2$814b
2o$814b2o281bo$1098b2o$801b2o64b3o227b2o$801b2o12bo50bo2bo$814b3o52bo$
813bo3bo51bo$815bo50bobo$799b2o11bo5bo17b2o$812bo5bo17b2o$813bo3bo244b
o$814b3o32b2o210b3o$849b2o209b2obo$798b2o3b2o255b3o$799b5o256b3o$799b
2ob2o256b3o$799b2ob2o9bo22bo13bo210b2o$800b3o32b3o11bobo$834b5o9bo3bo$
813bo19bobobobo9b3o64b3o$813bobo17b2o3b2o7b2o3b2o62bo2bo$813b2o101bo
148b3o$864bo51bo3bo143bo2bo46bo$836bo26b3o50bo3bo146bo47b2o$805bo29bob
o24b2obo50bo150bo46b2o$799bo3bobo8b2o3b2o13b2obo14bo9b3o52bobo144bobo$
798b3o3b2o28b3o15bo9b3o$797b5o13bo3bo13bo2bo11b3obo9b3o$796bobobobo13b
3o14b3o27b2o$796b2o3b2o13b3o13bo3bo10bo$831bo5bo9b2obo$832bo3bo5bo6b2o
$799bo33b3o7bo$798bobo18b2o20b3o23b3o$798bobo18bo29b2o3b2o10bo2bo$799b
o20b3o21b2o3b2o3b2o13bo$799b2o21bo21b2o4b5o14bo$799b2o50bobo12bobo$
799b2o$820bo30b3o$818bobo241bo$819b2o10b2o228b3o$832bo227b2obo$811b2o
16b3o228b3o$811b2o16bo4bo225b3o$834bobo14b2o207b3o$834b2o15b2o208b2o3$
916b3o$819bo96bo2bo$819b3o17b2o75bo148b3o$822bo16b2o23bo51bo3bo143bo2b
o$821b2o40b3o50bo3bo146bo$835bo26b2obo50bo150bo$825bo7bobo26b3o52bobo
144bobo$825bo8b2o26b3o$824bo37b3o$863b2o2$821b2o3b2o4bo$821bo5bo5b2o$
832b2o$822bo3bo40b3o$823b3o40bo2bo$869bo$869bo$866bobo245b3o$1114bo2bo
$821b2o27bo263bo$822bo25bobo211bo51bo3bo$819b3o12b2o13b2o210b3o50bo3bo
$819bo13bobo224b2obo50bo$823b2o7bo6b2o219b3o52bobo$823b2o7bo2bo3bobo6b
o211b3o$832bo6bobo4bobo211b3o$833bobo11b2o212b2o$834b2o2$841bo74b3o$
841bo74bo2bo$840bobo73bo148b3o$841bo22bo51bo3bo143bo2bo$841bo21b3o50bo
3bo146bo$841bo20b2obo50bo150bo$841bo20b3o52bobo144bobo$840bobo19b3o$
841bo20b3o$841bo21b2o5$867b3o$866bo2bo$869bo$869bo$866bobo245b3o$1114b
o2bo$1114bo$1062bo51bo3bo$877b2o182b3o50bo3bo$852b2o22b2o182b2obo50bo$
852b2o24bo181b3o52bobo226bo$891b2o167b3o282b2o$891b2o167b3o281b2o$
1061b2o$852bo6b2o$851b3o4bobo$850bo3bo3bobob2o35bo$849bob3obo3bobobo
35b3o$850b5o6bo40bo162b3o$861b2o18bo19b2o161bo2bo$861b3o17b3o183bo$
861b3o20bo182bo$861b3o19b2o18b3o158bobo$861b2o29b2o9b3o$849b2o2bo7bo
29b2o9bo3bo$851bobo5bobobo11b2o16bo7bo5bo$853b2o3bobob2o11b2o25bo3bo$
854b2o2bobo25bo16b3o$852bob2o3b2o24b3o7b2o$852b3o30b3o8b2o$867b3o25bo
4bo$866bo2bo5b3o5b2o3b2o9b2o$847b2o3b2o15bo5b3o5b2o3b2o9bobo$850bo18bo
4bo3bo$847bo5bo12bobo245b3o$848b2ob2o6bobo11b2o3b2o8b2o224bo2bo$849bob
o8b2o26bobo223bo$850bo9bo29b2o170bo51bo3bo$850bo38b2o170b3o50bo3bo$
872b2o15b2o11bo157b2obo50bo$872bobo10b3o13b3o156b3o52bobo$872bo27b5o
155b3o279bo$853bo45bobobobo154b3o280b2o$852bobo9bo34b2o3b2o155b2o279b
2o$851bo3bo8b2o6bo$852b3o8bobo19b2o3b2o$850b2o3b2o45bo13b3o$886bo3bo
10bobo12bo2bo$887b3o11bobo12bo148b3o$873b3o11b3o12bo13bo3bo143bo2bo$
872bo3bo24b2o13bo3bo146bo$856b2o13bo5bo23b2o13bo150bo$857b2o12bo5bo23b
2o14bobo144bobo$856bo17bo$872bo3bo11b2o$873b3o12b2o$874bo3$873b2o$855b
o17b2o$854b3o$853b5o$852b2o3b2o$1114b3o$1114bo2bo$1114bo$854b3o205bo
51bo3bo$854b3o204b3o50bo3bo$1060b2obo50bo$1060b3o52bobo$854b2o204b3o
273bo$854b2o204b3o274b2o$1061b2o273b2o3$916b3o$916bo2bo$916bo148b3o$
916bo3bo143bo2bo$916bo3bo146bo$916bo150bo$889b2o26bobo144bobo$867b2o
20b2o$867b2o$890bo47bo$868bo20bobo45b2o$867bobo19bobo44b2o11b2o$862b2o
2bo2bo20bo35b2o7b3o7bo3b3o$846b2o14b2obo60b2o8b2o5b4o4b2obo5b2o$847bo
18b2o69b2o2bo4bo4bo2bo5b2o$847bobo6bobo28b2obob2o44bo2bo3bo5b2obo$848b
2o5bo2bo28bo5bo48bob2o3b3o$854b2o32bo3bo56b2o$852b2o3bo31b3o222b3o$
846b2o6b2o80b2o176bo2bo$830b2o9b2o5bo6bo2bo77b2o176bo$830b2o16bo7bobo
6b2o195bo51bo3bo$840bo6bo17b2o74bo119b3o50bo3bo$840bo3b2o94b2o118b2obo
50bo$940bobo117b3o52bobo$841b3o23bo2bo21bo58bo108b3o$859b3o5bo25bo56bo
bo107b3o$833bo27bo4bo4bo19b3o35bo9bo8b2o3bo107b2o267bo$832bobo25bo4bob
o2b2o55b2o10b4o5b2o3bo9b2o366b2o$832bobo28b2obo61b2o10b4o4b2o3bo9b2o
365b2o$833bo82b3o21bo2bo6bobo$838bo77bo2bo20b4o7bo$837bobo23bo2bo19b5o
25bo14b2o6b4o122b3o$840b2o23b2o18bob3obo8bo15bo3bo9bobo6bo124bo2bo$
837b2o47bo3bo7bobo15bo3bo9bo136bo$839bobo17b3o25b3o9b2o15bo12b2o136bo$
840bo17b2ob2o25bo28bobo144bobo$845bo12b2ob2o22bo25b2o16b2o$844bobo11b
5o21bobo11b2o10bobo17bo$844bobo10b2o3b2o20bobo12b2o10bo18bobo6bo$845bo
39bo12bo8bo23b2o4bobo$851b2o55bo27bobo17bo$835b3o13bobo52b3o26bo2bo16b
2o$852b3o27b2o3b2o47bobo15b2o4b2o2b2o$833b2o3bo14b2o3b2o22b2o3b2o48bob
o13b3o4b2o2b2o$831bo6bo11b2o31b5o3bo47bo4bobo7b2o4b2o$830bo19b3o31bobo
4b2o39b2o10b2o9b2o$830bo5b2o52bobo38b2o12bo10bo$831b2o12b2o13b2o22b3o
46bo180b3o$845b2o4b2o7b2o40bo211bo2bo$851b2o49b2o18b2o190bo$898b2o3b2o
17bobo137bo51bo3bo$903b3o18bo12b2o122b3o50bo3bo$887bo15b2o19b2o11b2o
121b2obo50bo$886bobo6b2o5b2o156b3o52bobo$885bo3bo4bobo5bo47bobo107b3o$
886b3o5bo53bo3bo107b3o$884b2o3b2o2b2o19bo21b2o10bo12b2o98b2o$841b2o70b
3o12bo7bo2bo7bo4bo8b2o$840bo2b2o67b5o10bo3b2o7bo7bo$840b2o2bo66b2o3b2o
9bo5bo6bo7bo3bo$841b2o8b2o75b5o7bo9bobo$843b2obo3bobo83bo2bo125b3o$
844bobo2b3o84b2o126bo2bo$849b2o62b3o151bo$852b2o59b3o151bo$851b3o210bo
bo2$887b2o25b2o$851b2o34b2o25b2o408bo$851b2o472b2o$1012b2o310b2o$1012b
2o2$999b2o$999b2o2$999bo13bo$998bobo10b2ob2o98b3o$998bobo33b2o78bo2bo$
999bo10bo5bo17b2o78bo$1062bo51bo3bo$1010b2obob2o30b2o12b3o50bo3bo$996b
2obob2o44b2o11b2obo50bo$996bo5bo57b3o52bobo$997bo3bo13bo44b3o$998b3o
11bo2bo44b3o$1015bo45b2o$1011b2o$1011bo36bo$1011bobo33b3o$1012b2o18b5o
10b3o$1031bob3obo27b3o$1001bo30bo3bo8b2o3b2o12bo2bo$1002bo9b2o3b2o14b
3o9b2o3b2o15bo$1000b3o9bo5bo15bo32bo$1005bo58bobo$1005bobo5bo3bo30b2o$
1005b2o7b3o30bobo$1032bo13b2o2bo$995b5o32bo14b2o$994bob3obo8bo21bobo5b
o7b2o$995bo3bo7bobo20b2ob2o2bobo7bo$996b3o9b2o19bo5bo2b2o$997bo19b2o
13bo14bo5bo$1017bo11b2o3b2o11bo5bo264bo$1018b3o20bo6bo3bo266b2o$1020bo
20bobo5b3o266b2o$997b2o42b2o71b3o$997b2o115bo2bo$1114bo$1062bo51bo3bo$
1029b2o30b3o50bo3bo$1030bo29b2obo50bo$1009b2o16b3o30b3o52bobo$1009b2o
16bo32b3o$1024bo24b2o9b3o$1022bobo24b2o10b2o$1023b2o3$1017bo8bo$1017b
3o6bobo8b2o26b3o$1020bo5b2o9b2o25bo2bo$1019b2o46bo$1067bo$1064bobo$
1021b3o$1021b3o$1020bo3bo$1019bo5bo$1020bo3bo14bo$1021b3o13bobo$1038b
2o4$1036bo$1037b2o75b3o$1036b2o76bo2bo$1019b2o93bo$1020bo41bo51bo3bo$
1017b3o13bo27b3o50bo3bo$1017bo15bobo24b2obo50bo$1021b2o11bobo23b3o52bo
bo$1021b2o11bo2bo22b3o$1034bobo17bo5b3o$1033bobo3bo12bobo6b2o$1033bo5b
o13b2o$1038b3o2$1052bo$1038b3o9bobo12b3o$1039bo11b2o11bo2bo$1039bo27bo
$1039bo27bo$1039bo24bobo$1038b3o3$1038b3o$1039bo$1039bo4$1069b2o$1068b
2o$1070bo43b3o$1114bo2bo$1114bo$1114bo3bo$1114bo3bo$1050b2o62bo$1050b
2o63bobo$1089b2o$1089b2o2$1057b2o$1056bobo$1049b3o4bobob2o35bo$1057bob
obo22b2o11b3o$1049bobo7bo5b3o15b2o15bo$1048b5o6b2o3bo2bo11bo5bo13b2o$
1047b2o3b2o5b3o5bo11b3o$1047b2o3b2o5b3o5bo14bo$1059b3o2bobo14b2o465bo$
1059b2o41bo446b2o$1049b2o8bo42bo445b2o$1048b2ob2o4bobobo11b2o26bobo$
1049bo2bo3bobob2o11b2o25b2ob2o$1049bo6bobo35b2o3bo5bo$1052bo4b2o35b2o
6bo$1050b2o40b3o4b2o3b2o$1084bo7b2o$1083b3o5bobo$1045b2o3b2o30b5o11b3o
$1046b5o5bo8b3o5b3o5b2o3b2o9b2obo$1047b3o7b2o6bo2bo3bo3bo5b5o10b2o15b
3o$1048bo7b2o7bo16b5o11b2o14bo2bo$1065bo5bo5bo5bo2bo12bobo12bo$1066bob
o2b2o3b2o5bo3bo11bo2b2o10bo3bo$1087bo26bo3bo$1084b2obo26bo$1071b2o13bo
28bobo$1070bobo$1070bo$1070b2o11b2o3b2o8b5o$1051bo22bo8bo5bo7bob3obo$
1050b3o7b2o9bo2bo23bo3bo$1050b3o8b2o11bo9bo3bo10b3o$1060bo24b3o12bo$
1048b2o3b2o$1048b2o3b2o14b2obob2o2$1069bo5bo23b2o$1053b2o44b2o$1053bob
o14b2ob2o471bo$1055b2o15bo13b2o17b3o439b2o$1054b2o30b2o19bo438b2o$
1054b2o50bo$1050b3o2$1071b2o$1071b2o2$1050b2o3b2o2$1051bo3bo58b3o$
1052b3o59bo2bo$1052b3o59bo$1114bo3bo$1114bo3bo$1114bo$1115bobo$1052b2o
$1052b2o10$1087b2o$1065b2o20b2o451bo$1065b2o474b2o$1135bo404b2o$1066bo
68bobo$1065bobo20bo49b2o6b2o$1060b2o2bo2bo19bobo34b2o12b2o4bo3bo$1044b
2o14b2obo22bo3bo33b2o12b2o3bo5bo8b2o$1045bo18b2o21b3o45bobo4b2obo3bo8b
2o$1045bobo8bo28b2o3b2o43bo7bo5bo$1046b2o7b2o2b2o83bo3bo$1054b2o90b2o$
1053b3o4b2o52b3o19bo$1054b2o4b2o52bo2bo16b2o$1028b2o15b2o8b2o29bo27bo
20b2o$1028b2o15b2o9bo6b2o21bo27bo3bo$1063b2o21bob3o23bo3bo$1114bo$
1091bo23bobo22b2o$1032b3o4bo25bo2bo19bob2o47b2o10bobo$1031bo3bo2bobo
24bo22b2o51bo8bo2bo4bo$1030bo3b2o3b3o22bo4bo66b2o11b2o5b2o$1031b3obo5b
2o20bobo2b2o66bobo8b2o3bo8b2o$1032bo7bobo18b2obo18b2o3b2o49bo9b2o10b2o
$1035bo5bo41b2o3b2o46bo2bo10bo2bo$1084b5o7bo42bo11bobo$1061bo2bo20bobo
9bo31b2o5bobo$1063b2o30b3o23bo6bobo5b2o$1085b3o31b2o7bo$1120b2o5b2o2$
1033bo5bo17b3o49b2o16b2o$1032bobo7bo13bo3bo22bo11bobo10bobo17bo$1032b
2o5bob3o11bo5bo20b3o9b2o13bo18bobo8b2o393bo$1033b3o3b2o3bo10b2obob2o
19bo3bo7b3obo26b2o3b2o8b2o394b2o$1034bobo2bo3bo5b2o32bo9b3o27b2o11b2o
10bo4bo380b2o$1035bo4b3o6bobo28bo5bo8bo29bo9b3o10bo4bobo$1050b3o5bo21b
o5bo49b2o10bo7b2o4b2o$1051b2o4bobo21bo3bo53b2o2b2o11b2o4b2o$1048b2o7bo
bo22b3o54b2o2bo2b2o8b2o$1028b2o18b3o7bo52b2o31b4o5bobo$1028b2o57b2o21b
o2bo31bo7bo$1058b2o28b2o21b2o$1039bo9b2o7b2o27bo13bo9bo$1036bobo10b2o
48bobo18b2o$1035b2obo58b2o21bobo$1036b2o4bo54b2o23bo$1039b5o53b2o23b2o
$1038b3o2bo49b2o4bobo$1037bo3b2o42bo6bobo6bo37b2o9b2o$1038bob2o42b3o5b
o45b2o9bobo$1040b2o42b3o4b2o40bo6bo7b3o4b2ob3o$1132bobo12b3o4bo2b4o$
1082b2o3b2o20b2o3b2o9b2o3b2o3bo12b3o4b2o$1082b2o3b2o36b2o3b2o3bo13bobo
$1049b2o59bo3bo15b2o3bo14b2o$1043b2o3bobo60b3o18bobo$1043b2o2b3o35bo
25b3o19bo$1047b2o35bobo$1050b2o31b2o$1049b3o31b2o$1083b3o$1084bobo25b
2o$1049b2o34b2o25b2o$1049b2o11$1528bo$1529b2o$1528b2o34$1522bo$1523b2o
$1522b2o79$1752bo$1753b2o$1752b2o29$1750bo$1751b2o$1750b2o28$1744bo$
1745b2o$1744b2o30$1738bo$1739b2o$1738b2o40$1732bo$1733b2o$1732b2o34$
1726bo$1727b2o$1726b2o79$1956bo$1957b2o$1956b2o29$1954bo$1955b2o$1954b
2o28$1948bo$1949b2o$1948b2o30$1942bo$1943b2o$1942b2o40$1936bo$1937b2o$
1936b2o34$1930bo$1931b2o$1930b2o79$2160bo$2161b2o$2160b2o29$2158bo$
2159b2o$2158b2o28$2152bo$2153b2o$2152b2o30$2146bo$2147b2o$2146b2o40$
2140bo$2141b2o$2140b2o34$2134bo$2135b2o$2134b2o71$2358b2o$2358b2o33$
2359b2o$2359b2o13$2358b2o$2358b2o20$2356bo$2357b2o$2356b2o6$2355b3o$
2357bo$2356bo3$2359b2o$2359b2o13$2358b2o$2358b2o4$2350bo$2351b2o$2350b
2o14$2349b3o$2351bo6b2o$2350bo6bo2bo$2357bo2bo$2358b2o9$2359b2o$2359b
2o12$2344bo$2345b2o11b2o$2164b3o177b2o12b2o$2166bo$2165bo7$2356b2o$
2355bo2bo$2355bo2bo$2356b2o9$2358b2o$2357bo2bo$2357bo2bo$2358b2o9$
2359b2o$2338bo6b3o11b2o$2339b2o6bo$2338b2o6bo$2162b3o$2164bo$2163bo8$
2358b2o$2358b2o10$2357b2o$2356bobo$2356b2o9$2358b2o$2358bobo$2359b2o
10$2359b2o$2359b2o!
Kiran Linsuain
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Kiran
 
Posts: 284
Joined: March 4th, 2015, 6:48 pm

Re: Breeders

Postby Kiran » June 17th, 2015, 10:51 pm

Any pattern or object that grows unboundedly by engines producing other unboundedly growing objects.

What is the precise definition of an "engine"?
My "slab" definition is, at least, well defined in the sense that there is no ambiguity.

Here are some examples of patterns I call breeders:
All super-linear finite patterns (measured by the envelope,)
Spiral decay.
Primer.
Fermat prime calculator (if there are no more Fermat primes.)
Pulsars in tube (and all other debris leaving super-strings.)
Gun-wick.
Venetian Blinds (and all other agars that do not die out.)

Here are some examples of patterns I do not call breeders:
Any non-interacting combination of a finite number of non-breeders
All still lives, oscillators and spaceships.
All guns, puffers, rakes, pseudo-rakes, wick-stretchers and composites of those (e.g. Glider Producing Switch engine is a composite puffer and pseudo-rake.)
Fermat prime calculator (if there are more Fermat primes.)
Logarithmic width.
Infinite glider hotel, glider loops, Caber Tossers and most sawtooth patterns.
Wicks and super-strings that leave no debris (e.g. ants, bullets and rank)
Agars that die out in a finite number of generations (e.g. the filled plane.)

Unanswered questions:
total aperiodic?
total periodic?
ruler generator?
sqrt(log(t)) diameter
By the way, my browser cannot open the file; can someone please post it?
Are there breeders with a bounded population?
Kiran Linsuain
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Kiran
 
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Joined: March 4th, 2015, 6:48 pm

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