New idea: Final shape

[Mandelbrot]

Okay, so, I don’t know if this is going to be completely useless or not, but I want to share an idea that I had that might help us understand things about certain types of patterns, and might even encourage us to branch out to find other unique structures in life.

This idea is a new measure to a pattern, like its speed, heat, and bounding box, and I call it the “final shape” of a pattern, and here’s how it works:

Take a pattern that never oscillates/dies, like the LWSS breeder (code below), and run it for say, I dunno, 1,000,000 generations, and then zoom out to see the whole thing, what shape does it make?

Code: Select all

x = 1640, y = 619, rule = B3/S23
1194b2o$1192bo4bo$1198bo129bo$1192bo5bo129b4o$1193b6o27bo89b2o5bo6b2o$
1224bo3bo83b4ob2o4b3o7bo$1229bo82b6o7b2ob6o$1224bo4bo5bo2bo74b4o4b4o9b
obo$1225b5o9bo80bo3bo4bob7o$1235bo3bo82b3o4bo7b2o$1236b4o77b2obobo3b2o
4b2o4b2o$1316b3obo8bo2bo4b2o$1310bo4b2o2b2o8bobo$1308b2o6bo2bo17b2o$
414b2o129bobo727b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o4b2o6b2o8bobo4b2o2b2o$
410b4ob2o128bo2bo725bo2bob2o2b2o2b2o2b2o2b2o2b2o2b2o24bo4b3o2b2o$410b
6o114b6o4bo7b2o725b2o50bo2bo6bob3o$411b4o114bo5bo4bob2o6bo728b2o2b2o2b
2o2b2o2b2o2b2o2b2o24bo4b3o2b2o$445b2o88bo7bo2b6o727b2o2b2o2b2o2b2o2b2o
2b2o2b2o4b2o6b2o8bobo4b2o2b2o$442b3ob2o81bo4bo3b4o3bo7b2o753b2o6bo2bo
17b2o$442b5o8b2o74b2o9bo4bob3o3bo754bo4b2o2b2o8bobo$443b3o7b2ob2o78bo
2bob2o2bob2o3bo3bo675b2o26bo55b3obo8bo2bo4b2o$453b4o82bo5bo3b2o5bo674b
2o27b4o53b2obobo3b2o4b2o4b2o$454b2o73bo5bobo7bob4o3b3o676bo4b2o22b2o
58b3o4bo7b2o$528bo8bo9bo670b4o15b2o26bo54bo3bo4bob7o$523bo4b3o4b3o7bob
o6b3o96b2o129bobo430bo3bo17bo4b2o16b4o47b4o4b4o9bobo$190b2o129bobo186b
2o2b2o2b2o2bo22bo5bo5bo91b4ob2o128bo2bo433bo8b4o9b2o21bo45b6o7b2ob6o$
186b4ob2o128bo2bo185b2o2b2o2b2o2b3o21b2o3bob2o3bo90b6o114b6o4bo7b2o
428bo2bo8b6o10bo4b2o4b2o4bo2b3o44b4ob2o4b3o7bo$186b6o114b6o4bo7b2o219b
3o6bo3bo91b4o114bo5bo4bob2o6bo439b4ob2o13b2o6b2o5b3o49b2o5bo6b2o$187b
4o114bo5bo4bob2o6bo183b2o2b2o2b2o2b3o21b2o3bob2o3bo125b2o88bo7bo2b6o
442b2o15bobo3bobo6bo62b4o$221b2o88bo7bo2b6o182b2o2b2o2b2o2bo22bo5bo5bo
123b3ob2o81bo4bo3b4o3bo7b2o103b2o351bobo3bobobob3o63bo$218b3ob2o81bo4b
o3b4o3bo7b2o192bo4b3o4b3o7bobo6b3o124b5o8b2o74b2o9bo4bob3o3bo100bo4bo
359b2o2bo$218b5o8b2o74b2o9bo4bob3o3bo113b3o80bo8bo9bo134b3o7b2ob2o78bo
2bob2o2bob2o3bo3bo105bo129bo226bo3b2o$219b3o7b2ob2o78bo2bob2o2bob2o3bo
3bo144bobo49bo5bobo7bob4o3b3o135b4o82bo5bo3b2o5bo99bo5bo129b4o216b4o4b
4o$229b4o76bobo3bo5bo3b2o5bo112b2o4b3o23bo2bo58bo5bo3b2o5bo136b2o73bo
5bobo7bob4o3b3o100b6o27bo89b2o5bo6b2o215b6o$230b2o76bo4bo7bob4o3b3o
103b2o13bo28b2o54bo2bob2o2bob2o3bo3bo210bo8bo9bo140bo3bo83b4ob2o4b3o7b
o213b4ob2o2b4o$302bo5bo4bo9bo111b4o13bo4b3o22bo48b2o9bo4bob3o3bo206bo
4b3o4b3o7bobo6b3o136bo82b6o7b2ob6o217b2o2bo3b2o$301bo6b2o2b2o7bobo6b3o
102b2ob2o8b2o7bo22b4o45bo4bo3b4o3bo7b2o194b2o2b2o2b2o2bo22bo5bo5bo130b
o4bo5bo2bo74b4o4b4o9bobo220b2o2bo$232b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b
2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o3b3o6b2o9bo5bo5bo103b2o7bo4bo6bo4b3o
6b2o5bo4bo50bo7bo2b6o197b2o2b2o2b2o2b3o21b2o3bob2o3bo130b5o9bo80bo3bo
4bob7o217bobob3o$233bo2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o
2b2o2b2o2b2o2b2o24b2o3bob2o3bo117bo10bo6b2o2b2o5bo2bo44bo5bo4bob2o6bo
194b2o37b3o6bo3bo140bo3bo82b3o4bo7b2o216bo6bo$228bo3bo88b3o6bo3bo111bo
5bo11bo5bo4bo5bo2bo45b6o4bo7b2o195b2o2b2o2b2o2b2o2b3o21b2o3bob2o3bo
141b4o72bobo3bobobo3b2o4b2o4b2o214b2o5b3o$227bo8b2o2b2o2b2o2b2o2b2o2b
2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o24b2o3bob2o3bo112b6o17bo4bo
7bo61bo2bo196b2o2b2o2b2o2b2o2bo22bo5bo5bo218bobo3bobo8bo2bo4b2o213b3o
4bo2b3o$228bo3b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o
2b2o2b2o2b2o3b3o6b2o9bo5bo5bo137bobo3bob4o62bobo214bo4b3o4b3o7bobo6b3o
218b2o6b2o8bobo220bo10bo$301bo6b2o2b2o7bobo6b3o141bo2bo3bo202b3o80bo8b
o9bo223bo4b2o4b2o17b2o220b4o$302bo5bo4bo9bo145b2o9bo235bobo49bo5bobo7b
ob4o3b3o188b2o2b2o2b2o2b2o2b2o2b2o2b2o20bobo4b2o2b2o222bo$224b3o26bobo
52bo4bo7bob4o3b3o134bo4bo3b5o203b2o4b3o23bo2bo58bo5bo3b2o5bo187bobo2b
2o2b2o2b2o2b2o2b2o3b2o21bo4b3o2b2o218b2o$224bo28bo2bo52bobo3bo5bo3b2o
5bo140bo201b2o13bo28b2o54bo2bob2o2bob2o3bo3bo184b2o48bo2bo6bob3o215b4o
$212b2o11bo4b3o23b2o54bo2bob2o2bob2o3bo3bo134bo5bo2b5o193b4o13bo4b3o
22bo48b2o9bo4bob3o3bo184bo5bo2b2o2b2o2b2o2b2o2b2o3b2o21bo4b3o2b2o216bo
$211b4o15bo27bo48b2o9bo4bob3o3bo136b6o6bo193b2ob2o8b2o7bo22b4o45bo4bo
3b4o3bo7b2o186b2o3bo2b2o2b2o2b2o2b2o2b2o2b2o20bobo4b2o2b2o$211b2ob2o8b
2o5bo4b3o17b4o45bo4bo3b4o3bo7b2o146bo3bo194b2o7bo4bo6bo4b3o6b2o5bo4bo
50bo7bo2b6o193bo25bo4b2o4b2o17b2o$213b2o7bo4bo8bo18bo4bo50bo7bo2b6o
149bob4o208bo10bo6b2o2b2o5bo2bo44bo5bo4bob2o6bo142b2o80b2o6b2o8bobo$
228bo8bo4b3o4b3o5bo2bo44bo5bo4bob2o6bo148bo7bo201bo5bo11bo5bo4bo5bo2bo
45b6o4bo7b2o142b2o30bo51bobo3bobo8bo2bo4b2o$222bo5bo13bo8bo5bo2bo45b6o
4bo7b2o149bo5bo2bo201b6o17bo4bo7bo61bo2bo143b2o5b2o23b4o48bobo3bobobo
3b2o4b2o4b2o$223b6o14bo5bobo7bo61bo2bo147bob2o5bo2bo225bobo3bob4o62bob
o150b2o26b2o58b3o4bo7b2o$253bob4o62bobo148bo6bo4bo228bo2bo3bo200b4o14b
o4b2o22bo54bo3bo4bob7o$250bo2bo3bo222b4o224b2o9bo200bo3bo18b2o20b4o47b
4o4b4o9bobo$245b2o9bo225bo223bo4bo3b5o204bo8b4o8bo4b2o6b2o9bo45b6o7b2o
b6o$243bo4bo3b5o223b2o230bo207bo2bo8b6o11b2o6bo2bo4bo2b3o44b4ob2o4b3o
7bo$249bo227bo2bo225bo5bo2b5o212b4ob2o12bo4b2o2b2o5b3o49b2o5bo6b2o$
243bo5bo2b5o220bobo227b6o6bo216b2o19b3obo6bo62b4o457b2o$244b6o6bo459bo
3bo237b2obobob3o63bo458bo4bo$253bo3bo458bob4o241b2o2bo528bo129bo$253bo
b4o455bo7bo238bo3b2o523bo5bo129b4o$251bo7bo454bo5bo2bo230b4o4b4o525b6o
27bo89b2o5bo6b2o$251bo5bo2bo450bob2o5bo2bo229b6o563bo3bo83b4ob2o4b3o7b
o$248bob2o5bo2bo450bo6bo4bo229b4ob2o2b4o561bo82b6o7b2ob6o$248bo6bo4bo
458b4o234b2o2bo3b2o555bo4bo5bo2bo74b4o4b4o9bobo$256b4o461bo241b2o2bo
555b5o9bo80bo3bo4bob7o$258bo460b2o240bobob3o565bo3bo82b3o4bo7b2o$256b
2o458bo2bo241bo6bo565b4o72bobo3bobobo3b2o4b2o4b2o$253bo2bo459bobo241b
2o5b3o640bobo3bobo8bo2bo4b2o$253bobo702b3o4bo2b3o638b2o6b2o8bobo$958bo
10bo65bobo567bo4b2o4b2o17b2o$965b4o66b2o550b2o2b2o2b2o2b2o2b2o20bobo4b
2o2b2o$968bo40b2o25bo541b2o3b2o2b2o2b2o2b2o2b2o3b2o21bo4b3o2b2o$965b2o
38b4ob2o613bo2bo6bob3o$963b4o38b6o573bo2b2o2b2o2b2o2b2o3b2o21bo4b3o2b
2o$963bo42b4o573b2o2b2o2b2o2b2o2b2o2b2o20bobo4b2o2b2o$1605bo4b2o4b2o
17b2o$1527b2o80b2o6b2o8bobo$1526b2o30bo51bobo3bobo8bo2bo4b2o$1526b2o5b
2o23b4o48bobo3bobobo3b2o4b2o4b2o$1532b2o26b2o58b3o4bo7b2o$443b2o290b2o
779b4o14bo4b2o22bo54bo3bo4bob7o$443b2o290b2o778bo3bo18b2o20b4o47b4o4b
4o9bobo$1519bo8b4o8bo4b2o6b2o9bo45b6o7b2ob6o$1515bo2bo8b6o11b2o6bo2bo
4bo2b3o44b4ob2o4b3o7bo$1527b4ob2o12bo4b2o2b2o5b3o49b2o5bo6b2o$1531b2o
19b3obo6bo62b4o$1553b2obobob3o63bo$1036bo521b2o2bo$1035b2o519bo3b2o$
1035bobo511b4o4b4o$444b2o290b2o810b6o$443bo2bo288bo2bo809b4ob2o2b4o$
443bo2bo288bo2bo813b2o2bo3b2o$444b2o290b2o820b2o2bo$1556bobob3o$1556bo
6bo$1555b2o5b3o$1553b3o4bo2b3o$1553bo10bo$1560b4o$1563bo$1560b2o$446b
2o1110b4o$445bo2bo1109bo$445bo2bo$446b2o9$445b2o290b2o290b2o290b2o$
445b2o290b2o290b2o290b2o2$1321b2o$1321b2o3$673bo$673b4o629b2o$675b2o
625b4ob2o$678bo623b6o$675b4o614bo9b4o$668bo10bo613b4o$668b3o4bo2b3o
614b2o$670b2o5b3o326bobo289bo$259bo411bo6bo327bo2bo285b4o259bo$259b4o
408bobob3o331b2o277bo10bo258b4o$261b2o410b2o2bo333bo276b3o4bo2b3o259b
2o$264bo402b2o2bo3b2o332b4o277b2o5b3o263bo$261b4o398b4ob2o2b4o325bo6bo
4bo277bo6bo261b4o$254bo10bo397b6o332bob2o5bo2bo277bobob3o255bo10bo$
254b3o4bo2b3o397b4o4b4o328bo5bo2bo279b2o2bo255b3o4bo2b3o$256b2o5b3o
405bo3b2o327bo7bo274b2o2bo3b2o258b2o5b3o$257bo6bo408b2o2bo328bob4o271b
4ob2o2b4o260bo6bo$257bobob3o404b2obobob3o63bo264bo3bo272b6o267bobob3o$
259b2o2bo215bobo164b2o19b3obo6bo62b4o252b6o6bo274b4o4b4o262b2o2bo$253b
2o2bo3b2o216bo2bo159b4ob2o12bo4b2o2b2o5b3o49b2o5bo6b2o251bo5bo2b5o281b
o3b2o255b2o2bo3b2o$249b4ob2o2b4o220b2o146bo2bo8b6o11b2o6bo2bo4bo2b3o
44b4ob2o4b3o7bo255bo290b2o2bo250b4ob2o2b4o$249b6o229bo149bo8b4o8bo4b2o
6b2o9bo45b6o7b2ob6o249bo4bo3b5o278b2obobob3o63bo186b6o$250b4o4b4o220b
4o144bo3bo18b2o20b4o47b4o4b4o9bobo248b2o9bo256b2o19b3obo6bo62b4o184b4o
4b4o$257bo3b2o211bo6bo4bo144b4o14bo4b2o22bo54bo3bo4bob7o252bo2bo3bo
251b4ob2o12bo4b2o2b2o5b3o49b2o5bo6b2o191bo3b2o$259b2o2bo210bob2o5bo2bo
160b2o26b2o58b3o4bo7b2o248bobo3bob4o62bobo173bo2bo8b6o11b2o6bo2bo4bo2b
3o44b4ob2o4b3o7bo191b2o2bo$254b2obobob3o63bo149bo5bo2bo154b2o5b2o23b4o
48bobo3bobobo3b2o4b2o4b2o223b6o17bo4bo7bo61bo2bo176bo8b4o8bo4b2o6b2o9b
o45b6o7b2ob6o186b2obobob3o63bo$232b2o19b3obo6bo62b4o146bo7bo155b2o30bo
51bobo3bobo8bo2bo4b2o223bo5bo11bo5bo4bo5bo2bo45b6o4bo7b2o171bo3bo18b2o
20b4o47b4o4b4o9bobo161b2o19b3obo6bo62b4o$228b4ob2o12bo4b2o2b2o5b3o49b
2o5bo6b2o148bob4o157b2o80b2o6b2o8bobo236bo10bo6b2o2b2o5bo2bo44bo5bo4bo
b2o6bo171b4o14bo4b2o22bo54bo3bo4bob7o156b4ob2o12bo4b2o2b2o5b3o49b2o5bo
6b2o$216bo2bo8b6o11b2o6bo2bo4bo2b3o44b4ob2o4b3o7bo146bo3bo210bo25bo4b
2o4b2o17b2o214b2o7bo4bo6bo4b3o6b2o5bo4bo50bo7bo2b6o186b2o26b2o58b3o4bo
7b2o143bo2bo8b6o11b2o6bo2bo4bo2b3o44b4ob2o4b3o7bo$220bo8b4o8bo4b2o6b2o
9bo45b6o7b2ob6o137b6o6bo207b2o3bo2b2o2b2o2b2o2b2o2b2o2b2o20bobo4b2o2b
2o211b2ob2o8b2o7bo22b4o45bo4bo3b4o3bo7b2o177b2o5b2o23b4o48bobo3bobobo
3b2o4b2o4b2o146bo8b4o8bo4b2o6b2o9bo45b6o7b2ob6o$216bo3bo18b2o20b4o47b
4o4b4o9bobo133bo5bo2b5o206bo5bo2b2o2b2o2b2o2b2o2b2o3b2o21bo4b3o2b2o
210b4o13bo4b3o22bo48b2o9bo4bob3o3bo176b2o30bo51bobo3bobo8bo2bo4b2o143b
o3bo18b2o20b4o47b4o4b4o9bobo$217b4o14bo4b2o22bo54bo3bo4bob7o138bo214b
2o48bo2bo6bob3o210b2o13bo28b2o54bo2bob2o2bob2o3bo3bo176b2o80b2o6b2o8bo
bo151b4o14bo4b2o22bo54bo3bo4bob7o$233b2o26b2o58b3o4bo7b2o131bo4bo3b5o
210bobo2b2o2b2o2b2o2b2o2b2o3b2o21bo4b3o2b2o220b2o4b3o23bo2bo58bo5bo3b
2o5bo232bo21bo4b2o4b2o17b2o160b2o26b2o58b3o4bo7b2o$227b2o5b2o23b4o48bo
bo3bobobo3b2o4b2o4b2o132b2o9bo211b2o2b2o2b2o2b2o2b2o2b2o2b2o20bobo4b2o
2b2o253bobo49bo5bobo7bob4o3b3o228b2o3bo2b2o2b2o2b2o2b2o2b2o20bobo4b2o
2b2o153b2o5b2o23b4o48bobo3bobobo3b2o4b2o4b2o$227b2o30bo51bobo3bobo8bo
2bo4b2o138bo2bo3bo236bo4b2o4b2o17b2o222b3o80bo8bo9bo236bo5bo2b2o2b2o2b
2o2b2o3b2o21bo4b3o2b2o152b2o30bo51bobo3bobo8bo2bo4b2o$228b2o80b2o6b2o
8bobo142bobo3bob4o62bobo174b2o6b2o8bobo307bo4b3o4b3o7bobo6b3o228b2o44b
o2bo6bob3o152b2o80b2o6b2o8bobo$306bo4b2o4b2o17b2o111b6o17bo4bo7bo61bo
2bo174bobo3bobo8bo2bo4b2o283b2o2b2o2b2o2b2o2bo22bo5bo5bo230bobo2b2o2b
2o2b2o2b2o3b2o21bo4b3o2b2o231bo4b2o4b2o17b2o$240b2o2b2o2b2o2b2o2b2o2b
2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o20bobo4b2o2b2o109bo5bo
11bo5bo4bo5bo2bo45b6o4bo7b2o97b4o72bobo3bobobo3b2o4b2o4b2o282b2o2b2o2b
2o2b2o2b3o21b2o3bob2o3bo230b2o2b2o2b2o2b2o2b2o2b2o20bobo4b2o2b2o210b2o
2b2o2b2o2b2o2b2o2b2o20bobo4b2o2b2o$240b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o
2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o3b2o21bo4b3o2b2o114bo10bo6b2o2b2o5bo2b
o44bo5bo4bob2o6bo95bo3bo82b3o4bo7b2o283b2o37b3o6bo3bo252bo4b2o4b2o17b
2o212bo2b2o2b2o2b2o2b2o3b2o21bo4b3o2b2o$236b2o88bo2bo6bob3o98b2o7bo4bo
6bo4b3o6b2o5bo4bo50bo7bo2b6o84b5o9bo80bo3bo4bob7o288b2o2b2o2b2o2b3o21b
2o3bob2o3bo256b2o6b2o8bobo260bo2bo6bob3o$235bo2bob2o2b2o2b2o2b2o2b2o2b
2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o3b2o21bo4b3o2b2o97b2ob2o8b2o
7bo22b4o45bo4bo3b4o3bo7b2o80bo4bo5bo2bo74b4o4b4o9bobo289b2o2b2o2b2o2bo
22bo5bo5bo258bobo3bobo8bo2bo4b2o206b2o3b2o2b2o2b2o2b2o2b2o3b2o21bo4b3o
2b2o$236b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b
2o2b2o2b2o20bobo4b2o2b2o98b4o13bo4b3o22bo48b2o9bo4bob3o3bo84bo82b6o7b
2ob6o305bo4b3o4b3o7bobo6b3o183b4o72bobo3bobobo3b2o4b2o4b2o214b2o2b2o2b
2o2b2o2b2o20bobo4b2o2b2o$306bo4b2o4b2o17b2o100b2o13bo28b2o54bo2bob2o2b
ob2o3bo3bo78bo3bo83b4ob2o4b3o7bo310bo8bo9bo191bo3bo82b3o4bo7b2o233bo4b
2o4b2o17b2o$310b2o6b2o8bobo116b2o4b3o23bo2bo58bo5bo3b2o5bo47b6o27bo89b
2o5bo6b2o238b2o73bo5bobo7bob4o3b3o172b5o9bo80bo3bo4bob7o238b2o6b2o8bob
o$311bobo3bobo8bo2bo4b2o141bobo49bo5bobo7bob4o3b3o46bo5bo129b4o237b4o
82bo5bo3b2o5bo171bo4bo5bo2bo74b4o4b4o9bobo240bobo3bobo8bo2bo4b2o$235b
4o72bobo3bobobo3b2o4b2o4b2o108b3o80bo8bo9bo61bo129bo230b3o7b2ob2o78bo
2bob2o2bob2o3bo3bo176bo82b6o7b2ob6o167b4o72bobo3bobobo3b2o4b2o4b2o$
234bo3bo82b3o4bo7b2o187bo4b3o4b3o7bobo6b3o46bo4bo360b5o8b2o74b2o9bo4bo
b3o3bo172bo3bo83b4ob2o4b3o7bo166bo3bo82b3o4bo7b2o$224b5o9bo80bo3bo4bob
7o175b2o2b2o2b2o2bo22bo5bo5bo47b2o362b3ob2o81bo4bo3b4o3bo7b2o142b6o27b
o89b2o5bo6b2o158b5o9bo80bo3bo4bob7o$223bo4bo5bo2bo74b4o4b4o9bobo176b2o
2b2o2b2o2b3o21b2o3bob2o3bo413b2o88bo7bo2b6o144bo5bo129b4o157bo4bo5bo2b
o74b4o4b4o9bobo$228bo82b6o7b2ob6o214b3o6bo3bo379b4o114bo5bo4bob2o6bo
151bo129bo165bo82b6o7b2ob6o$223bo3bo83b4ob2o4b3o7bo179b2o2b2o2b2o2b3o
21b2o3bob2o3bo378b6o114b6o4bo7b2o146bo4bo291bo3bo83b4ob2o4b3o7bo$192b
6o27bo89b2o5bo6b2o181b2o2b2o2b2o2bo22bo5bo5bo379b4ob2o128bo2bo149b2o
262b6o27bo89b2o5bo6b2o$191bo5bo129b4o194bo4b3o4b3o7bobo6b3o384b2o129bo
bo413bo5bo129b4o$197bo129bo202bo8bo9bo946bo129bo$191bo4bo259b2o73bo5bo
bo7bob4o3b3o931bo4bo$193b2o260b4o82bo5bo3b2o5bo933b2o$445b3o7b2ob2o78b
o2bob2o2bob2o3bo3bo$444b5o8b2o74b2o9bo4bob3o3bo$444b3ob2o81bo4bo3b4o3b
o7b2o$447b2o88bo7bo2b6o$413b4o114bo5bo4bob2o6bo$412b6o114b6o4bo7b2o$
412b4ob2o128bo2bo$416b2o129bobo56$410b4o$409b6o115b2o12bobo$409b4ob2o
112bo4bo10bo2bo$413b2o119bo4bo7b2o$442b3o83bo5bo4bob2o6bo$441b5o83b6o
7bo2b6o$441b3ob2o6b2o82b4o3bo7b2o$444b2o6b4o85bo4bob3o3bo$452b2ob2o78b
o2bob2o2bob2o3bo3bo$454b2o82bo5bo3b2o5bo$533b2obo7bob4o3b3o$189b6o129b
o201bo6bo2bo9bo390b4o547b6o129bo$188bo5bo114b4o11b4o198bobo4bo2bo7bobo
6b3o380b6o115b2o12bobo413bo5bo114b4o11b4o$194bo113b6o5bo6b2o180b2o2b2o
2b2o2bo5b2o6b2o8bo5bo5bo379b4ob2o112bo4bo10bo2bo418bo113b6o5bo6b2o$
188bo4bo114b4ob2o4b3o7bo178b2o2b2o2b2o2b2o23b2o3bob2o3bo382b2o119bo4bo
7b2o411bo4bo114b4ob2o4b3o7bo$190b2o29b5o86b2o7b2ob6o214b3o6bo3bo411b3o
83bo5bo4bob2o6bo146b6o129bo130b2o29b5o86b2o7b2ob6o$220bo4bo91b4o9bobo
175b2o2b2o2b2o2b2o23b2o3bob2o3bo410b5o83b6o7bo2b6o144bo5bo114b4o11b4o
157bo4bo91b4o9bobo$225bo6b4o80bo3bo4bob7o174b2o2b2o2b2o2bo5b2o6b2o8bo
5bo5bo411b3ob2o6b2o82b4o3bo7b2o147bo113b6o5bo6b2o162bo6b4o80bo3bo4bob
7o$220bo3bo6bo3bo82b3o4bo7b2o191bobo4bo2bo7bobo6b3o415b2o6b4o85bo4bob
3o3bo140bo4bo114b4ob2o4b3o7bo155bo3bo6bo3bo82b3o4bo7b2o$222bo12bo78bob
obo3b2o4b2o4b2o108b2o80bo6bo2bo9bo56b6o129bo240b2ob2o78bo2bob2o2bob2o
3bo3bo141b2o29b5o86b2o7b2ob6o157bo12bo78bobobo3b2o4b2o4b2o$231bo2bo79b
obo8bo2bo4b2o114b2o25bobo54b2obo7bob4o3b3o46bo5bo114b4o11b4o239b2o82bo
5bo3b2o5bo171bo4bo91b4o9bobo163bo2bo79bobo8bo2bo4b2o$306bobo4bob2o8bob
o121bobo24bo2bo58bo5bo3b2o5bo52bo113b6o5bo6b2o318b2obo7bob4o3b3o176bo
6b4o80bo3bo4bob7o237bobo4bob2o8bobo$236bo69b2o6b2o17b2o114bo5b2o22b2o
54bo2bob2o2bob2o3bo3bo46bo4bo114b4ob2o4b3o7bo309bo6bo2bo9bo180bo3bo6bo
3bo82b3o4bo7b2o236b2o6b2o17b2o$232b2o3bo2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b
2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2bobo4bo6bo8bobo4b2o2b2o100b2o17bobo23bo
59bo4bob3o3bo49b2o29b5o86b2o7b2ob6o309bobo4bo2bo7bobo6b3o173bo12bo78bo
bobo3b2o4b2o4b2o213b2o2b2o2b2o2b2o2bobo4bo6bo8bobo4b2o2b2o$231bo5bo2b
2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o23bo4b3o
2b2o97b2ob2o16bo5b2o7b2o7b4o54b4o3bo7b2o80bo4bo91b4o9bobo288b2o2b2o2b
2o2bo5b2o6b2o8bo5bo5bo181bo2bo79bobo8bo2bo4b2o214b2o2b2o2b2o2b2o2b2o
23bo4b3o2b2o$232b2o89bo2bo6bob3o96b4o23bobo4bo4bo4bo4bo45b6o7bo2b6o88b
o6b4o80bo3bo4bob7o287b2o2b2o2b2o2b2o23b2o3bob2o3bo255bobo4bob2o8bobo
217b2o41bo2bo6bob3o$235bobo2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b
2o2b2o2b2o2b2o2b2o2b2o23bo4b3o2b2o98b2o9b6o9bo5bo6bo5bo2bo44bo5bo4bob
2o6bo84bo3bo6bo3bo82b3o4bo7b2o282b2obo36b3o6bo3bo255b2o6b2o17b2o209bo
2bob2o2b2o2b2o2b2o2b2o23bo4b3o2b2o$236b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o
2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2bobo4bo6bo8bobo4b2o2b2o109bo5bo15bo6b
o5bo2bo50bo4bo7b2o87bo12bo78bobobo3b2o4b2o4b2o280bo2b4o2b2o2b2o2b2o23b
2o3bob2o3bo229b2o2b2o2b2o2b2o2b2o2bobo4bo6bo8bobo4b2o2b2o209b2o2b2o2b
2o2b2o2b2o2bobo4bo6bo8bobo4b2o2b2o$224bo81b2o6b2o17b2o116bo15b3o2bobo
7bo45bo4bo10bo2bo97bo2bo79bobo8bo2bo4b2o282b2ob3o2b2o2b2o2bo5b2o6b2o8b
o5bo5bo231bo2b2o2b2o2b2o2b2o2b2o23bo4b3o2b2o152bo81b2o6b2o17b2o$224bo
81bobo4bob2o8bobo117bo4bo17b2o6bob4o48b2o12bobo173bobo4bob2o8bobo311bo
bo4bo2bo7bobo6b3o274bo2bo6bob3o151bo81bobo4bob2o8bobo$225bo4bo25bo57bo
bo8bo2bo4b2o112b2o24bo2bo3bo239b2o6b2o17b2o222b2o80bo6bo2bo9bo235b2o3b
2o2b2o2b2o2b2o2b2o2b2o23bo4b3o2b2o153bo4bo25bo57bobo8bo2bo4b2o$229b2o
25b4o54bobobo3b2o4b2o4b2o143bo210b2o2b2o2b2o2b2o2b2o2b2o2bobo4bo6bo8bo
bo4b2o2b2o226b2o25bobo54b2obo7bob4o3b3o235b2o2b2o2b2o2b2o2bobo4bo6bo8b
obo4b2o2b2o158b2o25b4o54bobobo3b2o4b2o4b2o$213bo2bo12bobo4bo21b2o58b3o
4bo7b2o140b5o211bo2b2o2b2o2b2o2b2o2b2o2b2o23bo4b3o2b2o225bobo24bo2bo
58bo5bo3b2o5bo175bo81b2o6b2o17b2o143bo2bo12bobo4bo21b2o58b3o4bo7b2o$
217bo17b2o24bo54bo3bo4bob7o133b6o264bo2bo6bob3o224bo5b2o22b2o54bo2bob
2o2bob2o3bo3bo175bo81bobo4bob2o8bobo154bo17b2o24bo54bo3bo4bob7o$213bo
3bo17bobo4bo15b4o55b4o9bobo133bo5bo2b5o205b2o3b2o2b2o2b2o2b2o2b2o2b2o
2b2o23bo4b3o2b2o212b2o17bobo23bo59bo4bob3o3bo177bo4bo25bo57bobo8bo2bo
4b2o143bo3bo17bobo4bo15b4o55b4o9bobo$214b4o23b2o6b4o9bo49b2o7b2ob6o
142bo6bo214b2o2b2o2b2o2b2o2b2o2bobo4bo6bo8bobo4b2o2b2o211b2ob2o16bo5b
2o7b2o7b4o54b4o3bo7b2o182b2o25b4o54bobobo3b2o4b2o4b2o143b4o23b2o6b4o9b
o49b2o7b2ob6o$229b2o10bobo4b6o4bo2b3o44b4ob2o4b3o7bo136bo4bo4bo3bo157b
o81b2o6b2o17b2o212b4o23bobo4bo4bo4bo4bo45b6o7bo2b6o169bo2bo12bobo4bo
21b2o58b3o4bo7b2o159b2o10bobo4b6o4bo2b3o44b4ob2o4b3o7bo$225b4ob2o15b2o
4b2o5b3o45b6o5bo6b2o140b2o6bob4o156bo81bobo4bob2o8bobo220b2o9b6o9bo5bo
6bo5bo2bo44bo5bo4bob2o6bo174bo17b2o24bo54bo3bo4bob7o156b4ob2o15b2o4b2o
5b3o45b6o5bo6b2o$225b6o17b2o2bobo6bo47b4o11b4o146bo7bo156bo4bo25bo57bo
bo8bo2bo4b2o223bo5bo15bo6bo5bo2bo50bo4bo7b2o171bo3bo17bobo4bo15b4o55b
4o9bobo157b6o17b2o2bobo6bo47b4o11b4o$226b4o22bobobob3o63bo149bo5bo2bo
159b2o25b4o54bobobo3b2o4b2o4b2o228bo15b3o2bobo7bo45bo4bo10bo2bo173b4o
23b2o6b4o9bo49b2o7b2ob6o161b4o22bobobob3o63bo$248bo7b2o2bo210bob2o5bo
2bo143bo2bo12bobo4bo21b2o58b3o4bo7b2o223bo4bo17b2o6bob4o48b2o12bobo
189b2o10bobo4b6o4bo2b3o44b4ob2o4b3o7bo183bo7b2o2bo$254bo3b2o211bo6bo4b
o147bo17b2o24bo54bo3bo4bob7o226b2o24bo2bo3bo251b4ob2o15b2o4b2o5b3o45b
6o5bo6b2o191bo3b2o$255b4o220b4o144bo3bo17bobo4bo15b4o55b4o9bobo259bo
252b6o17b2o2bobo6bo47b4o11b4o192b4o$250b2o229bo146b4o23b2o6b4o9bo49b2o
7b2ob6o258b5o253b4o22bobobob3o63bo190b2o$246b4ob2o2b4o220b2o162b2o10bo
bo4b6o4bo2b3o44b4ob2o4b3o7bo250b6o282bo7b2o2bo250b4ob2o2b4o$246b6o2bo
3b2o216bo2bo159b4ob2o15b2o4b2o5b3o45b6o5bo6b2o251bo5bo2b5o281bo3b2o
251b6o2bo3b2o$247b4o5b2o2bo215bobo160b6o17b2o2bobo6bo47b4o11b4o257bo6b
o282b4o253b4o5b2o2bo$254bobob3o379b4o22bobobob3o63bo254bo4bo4bo3bo276b
2o267bobob3o$254bo6bo400bo7b2o2bo320b2o6bob4o271b4ob2o2b4o260bo6bo$
253b2o5b3o405bo3b2o327bo7bo270b6o2bo3b2o258b2o5b3o$251b3o4bo2b3o405b4o
328bo5bo2bo270b4o5b2o2bo255b3o4bo2b3o$251bo10bo401b2o332bob2o5bo2bo
277bobob3o255bo10bo$258b4o398b4ob2o2b4o325bo6bo4bo277bo6bo261b4o$261bo
398b6o2bo3b2o332b4o277b2o5b3o263bo$258b2o401b4o5b2o2bo333bo276b3o4bo2b
3o259b2o$256b4o408bobob3o331b2o277bo10bo258b4o$256bo411bo6bo327bo2bo
285b4o259bo$667b2o5b3o326bobo289bo$665b3o4bo2b3o614b2o$665bo10bo613b4o
$672b4o614bo$675bo627b2o$672b2o625b4ob2o$670b4o625b6o$670bo629b4o3$
1317b2o$1317b2o2$441b2o290b2o290b2o290b2o$441b2o290b2o290b2o290b2o9$
442b2o$441bo2bo$441bo2bo1110bo$442b2o1111b4o$1557b2o$1560bo$1557b4o$
1550bo10bo$1550b3o4bo2b3o$1552b2o5b3o$1553bo6bo$1553bobob3o$440b2o290b
2o812b4o5b2o2bo$439bo2bo288bo2bo810b6o2bo3b2o$439bo2bo288bo2bo810b4ob
2o2b4o$440b2o290b2o815b2o$1032bo521b4o$1030b2o521bo3b2o$1031b2o514bo7b
2o2bo$1525b4o22bobobob3o63bo$1524b6o17b2o2bobo6bo47b4o11b4o$1524b4ob2o
15b2o4b2o5b3o45b6o5bo6b2o$1528b2o10bobo4b6o4bo2b3o44b4ob2o4b3o7bo$
1513b4o23b2o6b4o9bo49b2o7b2ob6o$439b2o290b2o779bo3bo17bobo4bo15b4o55b
4o9bobo$439b2o290b2o783bo17b2o24bo54bo3bo4bob7o$1512bo2bo12bobo4bo21b
2o58b3o4bo7b2o$1528b2o25b4o54bobobo3b2o4b2o4b2o$1524bo4bo25bo57bobo8bo
2bo4b2o$1523bo81bobo4bob2o8bobo$1523bo81b2o6b2o17b2o$960bo618b2o2b2o2b
2o2b2o2b2o2bobo4bo6bo8bobo4b2o2b2o$960b4o42b2o570bo2bob2o2b2o2b2o2b2o
2b2o23bo4b3o2b2o$962b2o38b4ob2o570b2o41bo2bo6bob3o$965bo36b6o23b2o550b
2o2b2o2b2o2b2o2b2o23bo4b3o2b2o$962b4o37b4o23b2o551b2o2b2o2b2o2b2o2bobo
4bo6bo8bobo4b2o2b2o$955bo10bo65bo572b2o6b2o17b2o$250bobo702b3o4bo2b3o
637bobo4bob2o8bobo$250bo2bo459bobo241b2o5b3o563bo2bo79bobo8bo2bo4b2o$
253b2o458bo2bo241bo6bo555bo12bo78bobobo3b2o4b2o4b2o$255bo460b2o240bobo
b3o554bo3bo6bo3bo82b3o4bo7b2o$253b4o461bo232b4o5b2o2bo559bo6b4o80bo3bo
4bob7o$245bo6bo4bo458b4o230b6o2bo3b2o555bo4bo91b4o9bobo$245bob2o5bo2bo
450bo6bo4bo229b4ob2o2b4o526b2o29b5o86b2o7b2ob6o$248bo5bo2bo450bob2o5bo
2bo233b2o531bo4bo114b4ob2o4b3o7bo$248bo7bo454bo5bo2bo238b4o530bo113b6o
5bo6b2o$242b2o6bob4o455bo7bo238bo3b2o523bo5bo114b4o11b4o$240bo4bo4bo3b
o450b2o6bob4o233bo7b2o2bo523b6o129bo$246bo6bo449bo4bo4bo3bo212b4o22bob
obob3o63bo$240bo5bo2b5o220bobo232bo6bo212b6o17b2o2bobo6bo47b4o11b4o$
241b6o227bo2bo225bo5bo2b5o212b4ob2o15b2o4b2o5b3o45b6o5bo6b2o$249b5o
223b2o225b6o223b2o10bobo4b6o4bo2b3o44b4ob2o4b3o7bo$253bo225bo232b5o
201b4o23b2o6b4o9bo49b2o7b2ob6o$221b2o24bo2bo3bo222b4o235bo200bo3bo17bo
bo4bo15b4o55b4o9bobo$219bo4bo25bob4o48b2o12bobo148bo6bo4bo202b2o24bo2b
o3bo203bo17b2o24bo54bo3bo4bob7o$225bo19b2obo7bo45bo4bo10bo2bo147bob2o
5bo2bo200bo4bo17b2o6bob4o48b2o12bobo133bo2bo12bobo4bo21b2o58b3o4bo7b2o
$219bo5bo12bo6bo2bo5bo2bo50bo4bo7b2o149bo5bo2bo206bo15b3o2bobo7bo45bo
4bo10bo2bo148b2o25b4o54bobobo3b2o4b2o4b2o$209b2o9b6o12bobo4bo2bo5bo2bo
44bo5bo4bob2o6bo148bo7bo201bo5bo15bo6bo5bo2bo50bo4bo7b2o143bo4bo25bo
57bobo8bo2bo4b2o$208b4o20bo5b2o6b2o4bo4bo45b6o7bo2b6o141b2o6bob4o192b
2o9b6o9bo5bo6bo5bo2bo44bo5bo4bob2o6bo141bo81bobo4bob2o8bobo$208b2ob2o
19bobo18b4o54b4o3bo7b2o136bo4bo4bo3bo192b4o23bobo4bo4bo4bo4bo45b6o7bo
2b6o140bo81b2o6b2o17b2o$210b2o14bo5b2o21bo59bo4bob3o3bo141bo6bo193b2ob
2o16bo5b2o7b2o7b4o54b4o3bo7b2o193b2o2b2o2b2o2b2o2b2o2bobo4bo6bo8bobo4b
2o2b2o$220bo5bobo24b2o54bo2bob2o2bob2o3bo3bo134bo5bo2b5o195b2o17bobo
23bo59bo4bob3o3bo183b2o3b2o2b2o2b2o2b2o2b2o2b2o2b2o23bo4b3o2b2o216bo$
220bo5b2o22bo2bo50b2o6bo5bo3b2o5bo135b6o215bo5b2o22b2o54bo2bob2o2bob2o
3bo3bo234bo2bo6bob3o215b4o$220bobo27bobo50b3o2bobo7bob4o3b3o143b5o208b
obo24bo2bo58bo5bo3b2o5bo188bo2b2o2b2o2b2o2b2o2b2o2b2o23bo4b3o2b2o218b
2o$220b2o81bo6bo9bo156bo208b2o25bobo54b2obo7bob4o3b3o187b2o2b2o2b2o2b
2o2b2o2b2o2bobo4bo6bo8bobo4b2o2b2o222bo$297bo5bo6bo7bobo6b3o115b2o24bo
2bo3bo202b2o80bo6bo2bo9bo226b2o6b2o17b2o220b4o$232b2o2b2o2b2o2b2o2b2o
2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o3bobo4bo4bo8bo5bo5bo112bo
4bo17b2o6bob4o48b2o12bobo218bobo4bo2bo7bobo6b3o217bobo4bob2o8bobo220bo
10bo$232b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b
2o3b2o7b2o11b2o3bob2o3bo117bo15b3o2bobo7bo45bo4bo10bo2bo195b2ob3o2b2o
2b2o2bo5b2o6b2o8bo5bo5bo141bo2bo79bobo8bo2bo4b2o213b3o4bo2b3o$228b2o
88b3o6bo3bo111bo5bo15bo6bo5bo2bo50bo4bo7b2o193bo2b4o2b2o2b2o2b2o23b2o
3bob2o3bo131bo12bo78bobobo3b2o4b2o4b2o214b2o5b3o$228b2o2b2o2b2o2b2o2b
2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o3b2o7b2o11b2o3bob2o
3bo101b2o9b6o9bo5bo6bo5bo2bo44bo5bo4bob2o6bo193b2obo36b3o6bo3bo129bo3b
o6bo3bo82b3o4bo7b2o216bo6bo$228b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o
2b2o2b2o2b2o2b2o2b2o2b2o2b2o3bobo4bo4bo8bo5bo5bo101b4o23bobo4bo4bo4bo
4bo45b6o7bo2b6o196b2o2b2o2b2o2b2o23b2o3bob2o3bo134bo6b4o80bo3bo4bob7o
217bobob3o$297bo5bo6bo7bobo6b3o102b2ob2o16bo5b2o7b2o7b4o54b4o3bo7b2o
193b2o2b2o2b2o2bo5b2o6b2o8bo5bo5bo130bo4bo91b4o9bobo211b4o5b2o2bo$303b
o6bo9bo113b2o17bobo23bo59bo4bob3o3bo210bobo4bo2bo7bobo6b3o101b2o29b5o
86b2o7b2ob6o213b6o2bo3b2o$303b3o2bobo7bob4o3b3o117bo5b2o22b2o54bo2bob
2o2bob2o3bo3bo209bo6bo2bo9bo108bo4bo114b4ob2o4b3o7bo213b4ob2o2b4o$228b
2o74b2o6bo5bo3b2o5bo117bobo24bo2bo58bo5bo3b2o5bo216b2obo7bob4o3b3o105b
o113b6o5bo6b2o219b2o$226b2ob2o78bo2bob2o2bob2o3bo3bo117b2o25bobo54b2ob
o7bob4o3b3o137b2o82bo5bo3b2o5bo99bo5bo114b4o11b4o224b4o$218b2o6b4o85bo
4bob3o3bo113b2o80bo6bo2bo9bo144b2ob2o78bo2bob2o2bob2o3bo3bo100b6o129bo
226bo3b2o$215b3ob2o6b2o82b4o3bo7b2o196bobo4bo2bo7bobo6b3o127b2o6b4o85b
o4bob3o3bo465b2o2bo$215b5o83b6o7bo2b6o181b2o2b2o2b2o2bo5b2o6b2o8bo5bo
5bo123b3ob2o6b2o82b4o3bo7b2o436b4o22bobobob3o63bo$216b3o83bo5bo4bob2o
6bo182b2o2b2o2b2o2b2o23b2o3bob2o3bo122b5o83b6o7bo2b6o438b6o21bobo6bo
47b4o11b4o$187b2o119bo4bo7b2o219b3o6bo3bo123b3o83bo5bo4bob2o6bo439b4ob
2o12bobo4bob2o5b3o45b6o5bo6b2o$183b4ob2o112bo4bo10bo2bo184b2o2b2o2b2o
2b2o23b2o3bob2o3bo94b2o119bo4bo7b2o444b2o13b2o6b2o4bo2b3o44b4ob2o4b3o
7bo$183b6o115b2o12bobo185b2o2b2o2b2o2bo5b2o6b2o8bo5bo5bo91b4ob2o112bo
4bo10bo2bo430b4o20bobo4bo6bo9bo49b2o7b2ob6o$184b4o336bobo4bo2bo7bobo6b
3o92b6o115b2o12bobo430bo3bo20b2o18b4o55b4o9bobo$524bo6bo2bo9bo102b4o
567bo8b2o4bobo4bo21bo54bo3bo4bob7o$531b2obo7bob4o3b3o660bo2bo15b2o24b
2o50bo7b3o4bo7b2o$452b2o82bo5bo3b2o5bo673bobo4bo22b4o54bobobo3b2o4b2o
4b2o$450b2ob2o78bo2bob2o2bob2o3bo3bo673b2o28bo53b2o2bobo8bo2bo4b2o$
442b2o6b4o85bo4bob3o3bo675bo81b2o4b2o8bobo$439b3ob2o6b2o82b4o3bo7b2o
752bobo4b6o17b2o$439b5o83b6o7bo2b6o726b2o2b2o2b2o2b2o2b2o2b2o2b2o3b2o
6b4o8bobo4b2o2b2o$440b3o83bo5bo4bob2o6bo726bobo2b2o2b2o2b2o2b2o2b2o2b
2o4bo20bo4b3o2b2o$411b2o119bo4bo7b2o724b2o51bo2bo6bob3o$407b4ob2o112bo
4bo10bo2bo724bo5bo2b2o2b2o2b2o2b2o2b2o2b2o4bo20bo4b3o2b2o$407b6o115b2o
12bobo726b2o3bo2b2o2b2o2b2o2b2o2b2o2b2o3b2o6b4o8bobo4b2o2b2o$408b4o
863bo28bobo4b6o17b2o$1310b2o4b2o8bobo$1232bo2bo75b2o2bobo8bo2bo4b2o$
1223bo12bo78bobobo3b2o4b2o4b2o$1221bo3bo6bo3bo74bo7b3o4bo7b2o$1226bo6b
4o80bo3bo4bob7o$1221bo4bo91b4o9bobo$1191b2o29b5o86b2o7b2ob6o$1189bo4bo
114b4ob2o4b3o7bo$1195bo113b6o5bo6b2o$1189bo5bo114b4o11b4o$1190b6o129bo
$1161b4o$1160b6o115b2o12bobo$1160b4ob2o112bo4bo10bo2bo$1164b2o119bo4bo
7b2o$1193b3o83bo5bo4bob2o6bo$1192b5o83b6o7bo2b6o$1192b3ob2o6b2o82b4o3b
o7b2o$1195b2o6b4o85bo4bob3o3bo$1203b2ob2o78bo2bob2o2bob2o3bo3bo$1205b
2o82bo5bo3b2o5bo$1284b2obo7bob4o3b3o$379b2o896bo6bo2bo9bo$377bo4bo894b
obo4bo2bo7bobo6b3o$383bo129bo721b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2bo
5b2o6b2o8bo5bo5bo$377bo5bo129b4o718b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o
2b2o23b2o3bob2o3bo$378b6o27bo89b2o5bo6b2o778b3o6bo3bo$409bo3bo83b4ob2o
4b3o7bo716b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o23b2o3bob2o3bo$414bo
82b6o7b2ob6o716b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2bo5b2o6b2o8bo5bo5bo
$409bo4bo5bo2bo74b4o4b4o9bobo755bobo4bo2bo7bobo6b3o$410b5o9bo80bo3bo4b
ob7o672b2o80bo6bo2bo9bo$420bo3bo82b3o4bo7b2o676b2o25bobo54b2obo7bob4o
3b3o$421b4o72bobo3bobobo3b2o4b2o4b2o675bobo24bo2bo58bo5bo3b2o5bo$158b
4o335bobo3bobo8bo2bo4b2o94b2o580bo5b2o22b2o54bo2bob2o2bob2o3bo3bo$157b
6o115b2o12bobo201b2o6b2o8bobo99bo4bo565b2o17bobo23bo59bo4bob3o3bo$157b
4ob2o112bo4bo10bo2bo196bo4b2o4b2o17b2o98bo129bo432b2ob2o16bo5b2o7b2o7b
4o54b4o3bo7b2o$161b2o119bo4bo7b2o137b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b
2o2b2o2b2o2b2o2b2o2b2o2b2o20bobo4b2o2b2o91bo5bo129b4o429b4o23bobo4bo4b
o4bo4bo45b6o7bo2b6o$190b3o83bo5bo4bob2o6bo135bobo2b2o2b2o2b2o2b2o2b2o
2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o3b2o21bo4b3o2b2o91b6o27bo89b2o5bo6b2o
430b2o9b6o9bo5bo6bo5bo2bo44bo5bo4bob2o6bo$189b5o83b6o7bo2b6o131b2o80bo
2bo6bob3o121bo3bo83b4ob2o4b3o7bo438bo5bo15bo6bo5bo2bo50bo4bo7b2o$189b
3ob2o6b2o82b4o3bo7b2o127bo5bo2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o
2b2o2b2o2b2o3b2o21bo4b3o2b2o127bo82b6o7b2ob6o444bo15b3o2bobo7bo45bo4bo
10bo2bo$192b2o6b4o85bo4bob3o3bo127b2o3bo2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b
2o2b2o2b2o2b2o2b2o2b2o2b2o20bobo4b2o2b2o123bo4bo5bo2bo74b4o4b4o9bobo
435bo4bo17b2o6bob4o48b2o12bobo$200b2ob2o78bo2bob2o2bob2o3bo3bo130bo57b
o4b2o4b2o17b2o125b5o9bo80bo3bo4bob7o102b4o330b2o24bo2bo3bo$202b2o74b2o
6bo5bo3b2o5bo110b2o80b2o6b2o8bobo142bo3bo82b3o4bo7b2o100b6o115b2o12bob
o229bo$277b3o2bobo7bob4o3b3o109b2o30bo51bobo3bobo8bo2bo4b2o136b4o72bob
o3bobobo3b2o4b2o4b2o99b4ob2o112bo4bo10bo2bo224b5o$277bo6bo9bo118b2o5b
2o23b4o48bobo3bobobo3b2o4b2o4b2o211bobo3bobo8bo2bo4b2o104b2o119bo4bo7b
2o215b6o$271bo5bo6bo7bobo6b3o115b2o26b2o58b3o4bo7b2o211b2o6b2o8bobo
140b3o83bo5bo4bob2o6bo213bo5bo2b5o$238bo3b2o2b2o2b2o2b2o2b2o2b2o2b2o3b
obo4bo4bo8bo5bo5bo98b4o14bo4b2o22bo54bo3bo4bob7o208bo4b2o4b2o17b2o132b
5o83b6o7bo2b6o218bo6bo$237bo8b2o2b2o2b2o2b2o2b2o2b2o3b2o7b2o11b2o3bob
2o3bo96bo3bo18b2o20b4o47b4o4b4o9bobo131b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o
2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o20bobo4b2o2b2o131b3ob
2o6b2o82b4o3bo7b2o209bo4bo4bo3bo$238bo3bo49b3o6bo3bo100bo8b4o8bo4b2o6b
2o9bo45b6o7b2ob6o134b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b
2o2b2o2b2o2b2o2b2o2b2o2b2o3b2o21bo4b3o2b2o133b2o6b4o85bo4bob3o3bo210b
2o6bob4o$243bo2b2o2b2o2b2o2b2o2b2o2b2o3b2o7b2o11b2o3bob2o3bo96bo2bo8b
6o11b2o6bo2bo4bo2b3o44b4ob2o4b3o7bo232bo2bo6bob3o140b2ob2o78bo2bob2o2b
ob2o3bo3bo215bo7bo$242b2o2b2o2b2o2b2o2b2o2b2o2b2o3bobo4bo4bo8bo5bo5bo
109b4ob2o12bo4b2o2b2o5b3o49b2o5bo6b2o136b2o2b2o2b2o2b2o2b2o2b2o2b2o2b
2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o3b2o21bo4b3o2b2o143b2o
74b2o6bo5bo3b2o5bo215bo5bo2bo$271bo5bo6bo7bobo6b3o45bobo66b2o19b3obo6b
o62b4o135bo2bob2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o
2b2o2b2o2b2o2b2o2b2o20bobo4b2o2b2o219b3o2bobo7bob4o3b3o212bob2o5bo2bo$
194b2o81bo6bo9bo54b2o89b2obobob3o63bo138bo2bo75bo4b2o4b2o17b2o220bo6bo
9bo221bo6bo4bo$194bobo27bobo50b3o2bobo7bob4o3b3o46bo94b2o2bo202bo2bo
79b2o6b2o8bobo221bo5bo6bo7bobo6b3o220b4o$194bo5b2o22bo2bo50b2o6bo5bo3b
2o5bo139bo3b2o203b2o30bo51bobo3bobo8bo2bo4b2o165b2o2b2o2b2o2b2o2b2o2b
2o2b2o2b2o2b2o2b2o2b2o2b2o3bobo4bo4bo8bo5bo5bo221bo$194bo5bobo24b2o54b
o2bob2o2bob2o3bo3bo132b4o4b4o204b2o5b2o23b4o48bobo3bobobo3b2o4b2o4b2o
164b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o3b2o7b2o11b2o3bob2o
3bo218b2o$184b2o14bo5b2o21bo59bo4bob3o3bo132b6o217b2o26b2o58b3o4bo7b2o
235b3o6bo3bo215bo2bo$182b2ob2o19bobo18b4o54b4o3bo7b2o133b4ob2o2b4o194b
4o14bo4b2o22bo54bo3bo4bob7o166b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o
2b2o2b2o3b2o7b2o11b2o3bob2o3bo215bobo$182b4o20bo5b2o6b2o4bo4bo45b6o7bo
2b6o140b2o2bo3b2o192bo3bo18b2o20b4o47b4o4b4o9bobo167b2o2b2o2b2o2b2o2b
2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o3bobo4bo4bo8bo5bo5bo$183b2o9b6o12bobo4bo
2bo5bo2bo44bo5bo4bob2o6bo147b2o2bo195bo8b4o8bo4b2o6b2o9bo45b6o7b2ob6o
219bo5bo6bo7bobo6b3o$193bo5bo12bo6bo2bo5bo2bo50bo4bo7b2o146bobob3o191b
o2bo8b6o11b2o6bo2bo4bo2b3o44b4ob2o4b3o7bo142b2o81bo6bo9bo$199bo19b2obo
7bo45bo4bo10bo2bo147bo6bo202b4ob2o12bo4b2o2b2o5b3o49b2o5bo6b2o144bobo
27bobo50b3o2bobo7bob4o3b3o$193bo4bo25bob4o48b2o12bobo147b2o5b3o205b2o
19b3obo6bo62b4o144bo5b2o22bo2bo50b2o6bo5bo3b2o5bo$195b2o24bo2bo3bo211b
3o4bo2b3o226b2obobob3o63bo147bo5bobo24b2o54bo2bob2o2bob2o3bo3bo$227bo
212bo10bo232b2o2bo201b2o14bo5b2o21bo59bo4bob3o3bo$223b5o219b4o231bo3b
2o200b2ob2o19bobo18b4o54b4o3bo7b2o$215b6o229bo224b4o4b4o201b4o20bo5b2o
6b2o4bo4bo45b6o7bo2b6o$214bo5bo2b5o219b2o225b6o209b2o9b6o12bobo4bo2bo
5bo2bo44bo5bo4bob2o6bo$220bo6bo217b4o225b4ob2o2b4o212bo5bo12bo6bo2bo5b
o2bo50bo4bo7b2o$214bo4bo4bo3bo216bo232b2o2bo3b2o217bo19b2obo7bo45bo4bo
10bo2bo$216b2o6bob4o454b2o2bo210bo4bo25bob4o48b2o12bobo458b4o$222bo7bo
451bobob3o212b2o24bo2bo3bo523b6o115b2o12bobo$222bo5bo2bo450bo6bo243bo
524b4ob2o112bo4bo10bo2bo$219bob2o5bo2bo449b2o5b3o238b5o528b2o119bo4bo
7b2o$219bo6bo4bo447b3o4bo2b3o229b6o564b3o83bo5bo4bob2o6bo$227b4o448bo
10bo229bo5bo2b5o556b5o83b6o7bo2b6o$229bo456b4o236bo6bo556b3ob2o6b2o82b
4o3bo7b2o$227b2o460bo230bo4bo4bo3bo558b2o6b4o85bo4bob3o3bo$224bo2bo
458b2o234b2o6bob4o565b2ob2o78bo2bob2o2bob2o3bo3bo$224bobo457b4o240bo7b
o566b2o74b2o6bo5bo3b2o5bo$684bo243bo5bo2bo640b3o2bobo7bob4o3b3o$925bob
2o5bo2bo640bo6bo9bo$925bo6bo4bo36b2o596bo5bo6bo7bobo6b3o$933b4o35bo4bo
529b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o3bob
o4bo4bo8bo5bo5bo$935bo42bo528b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b
2o2b2o2b2o2b2o2b2o2b2o3b2o7b2o11b2o3bob2o3bo$933b2o37bo5bo614b3o6bo3bo
$930bo2bo39b6o528b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b
2o2b2o2b2o3b2o7b2o11b2o3bob2o3bo$930bobo574b2o2b2o2b2o2b2o2b2o2b2o2b2o
2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o3bobo4bo4bo8bo5bo5bo$1572bo5bo6bo
7bobo6b3o$1495b2o81bo6bo9bo$1495bobo27bobo50b3o2bobo7bob4o3b3o$1495bo
5b2o22bo2bo50b2o6bo5bo3b2o5bo$1495bo5bobo24b2o54bo2bob2o2bob2o3bo3bo$
3b2o290b2o290b2o290b2o604b2o14bo5b2o21bo59bo4bob3o3bo$bo2bo290b2o290b
2o290b2o602b2ob2o19bobo18b4o54b4o3bo7b2o$1483b4o20bo5b2o6b2o4bo4bo45b
6o7bo2b6o$o1483b2o9b6o12bobo4bo2bo5bo2bo44bo5bo4bob2o6bo$1494bo5bo12bo
6bo2bo5bo2bo50bo4bo7b2o$b2o1497bo19b2obo7bo45bo4bo10bo2bo$3bo1490bo4bo
25bob4o48b2o12bobo$1496b2o24bo2bo3bo$1528bo$2o3b2o1517b5o$2o3b2o289b2o
290b2o926b6o$b5o289bo2bo288bo2bo924bo5bo2b5o$2bobo290bo2bo288bo2bo930b
o6bo$296b2o290b2o925bo4bo4bo3bo$2b3o1512b2o6bob4o$1523bo7bo$1523bo5bo
2bo$1520bob2o5bo2bo$1520bo6bo4bo$5bo1522b4o$4bobo1523bo$3bo3bo1520b2o$
4b3o291b2o1225bo2bo$2b2o3b2o288bo2bo1224bobo$297bo2bo$298b2o9$5b2o290b
2o290b2o290b2o290b2o$5b2o290b2o290b2o290b2o290b2o5$1271b2o$640bobo626b
o4bo$640bo2bo631bo$643b2o624bo5bo$645bo624b6o$643b4o613bobo$635bo6bo4b
o612bo2bo$223bo411bob2o5bo2bo615b2o$223b4o411bo5bo2bo326bo290bo$225b2o
411bo7bo327b4o285b4o258bobo$228bo403b2o6bob4o330b2o277bo6bo4bo257bo2bo
$225b4o401bo4bo4bo3bo334bo275bob2o5bo2bo260b2o$218bo10bo406bo6bo332b4o
278bo5bo2bo262bo$218b3o4bo2b3o399bo5bo2b5o325bo10bo277bo7bo261b4o$220b
2o5b3o401b6o332b3o4bo2b3o270b2o6bob4o254bo6bo4bo$221bo6bo410b5o327b2o
5b3o269bo4bo4bo3bo255bob2o5bo2bo$221bobob3o415bo328bo6bo276bo6bo259bo
5bo2bo$223b2o2bo383b2o24bo2bo3bo327bobob3o271bo5bo2b5o259bo7bo$217b2o
2bo3b2o382bo4bo25bob4o48b2o12bobo263b2o2bo272b6o260b2o6bob4o$213b4ob2o
2b4o221bo167bo19b2obo7bo45bo4bo10bo2bo256b2o2bo3b2o281b5o251bo4bo4bo3b
o$213b6o228b4o158bo5bo12bo6bo2bo5bo2bo50bo4bo7b2o251b4ob2o2b4o286bo
257bo6bo$214b4o4b4o223b2o148b2o9b6o12bobo4bo2bo5bo2bo44bo5bo4bob2o6bo
250b6o261b2o24bo2bo3bo250bo5bo2b5o$221bo3b2o225bo145b4o20bo5b2o6b2o4bo
4bo45b6o7bo2b6o250b4o4b4o252bo4bo25bob4o48b2o12bobo185b6o$223b2o2bo
221b4o145b2ob2o19bobo18b4o54b4o3bo7b2o254bo3b2o257bo19b2obo7bo45bo4bo
10bo2bo192b5o$213bobo3bobobob3o63bo150bo10bo146b2o14bo5b2o21bo59bo4bob
3o3bo255b2o2bo250bo5bo12bo6bo2bo5bo2bo50bo4bo7b2o195bo$196b2o15bobo3bo
bo6bo62b4o147b3o4bo2b3o155bo5bobo24b2o54bo2bob2o2bob2o3bo3bo249b2obobo
b3o63bo176b2o9b6o12bobo4bo2bo5bo2bo44bo5bo4bob2o6bo162b2o24bo2bo3bo$
192b4ob2o13b2o6b2o5b3o49b2o5bo6b2o149b2o5b3o156bo5b2o22bo2bo50b2o6bo5b
o3b2o5bo227b2o19b3obo6bo62b4o172b4o20bo5b2o6b2o4bo4bo45b6o7bo2b6o159bo
4bo25bob4o48b2o12bobo$180bo2bo8b6o10bo4b2o4b2o4bo2b3o44b4ob2o4b3o7bo
148bo6bo157bobo27bobo50b3o2bobo7bob4o3b3o223b4ob2o12bo4b2o2b2o5b3o49b
2o5bo6b2o172b2ob2o19bobo18b4o54b4o3bo7b2o162bo19b2obo7bo45bo4bo10bo2bo
$184bo8b4o9b2o21bo45b6o7b2ob6o148bobob3o158b2o81bo6bo9bo220bo2bo8b6o
11b2o6bo2bo4bo2b3o44b4ob2o4b3o7bo172b2o14bo5b2o21bo59bo4bob3o3bo155bo
5bo12bo6bo2bo5bo2bo50bo4bo7b2o$180bo3bo17bo4b2o16b4o47b4o4b4o9bobo147b
2o2bo235bo5bo6bo7bobo6b3o215bo8b4o8bo4b2o6b2o9bo45b6o7b2ob6o182bo5bobo
24b2o54bo2bob2o2bob2o3bo3bo144b2o9b6o12bobo4bo2bo5bo2bo44bo5bo4bob2o6b
o$181b4o15b2o26bo54bo3bo4bob7o140b2o2bo3b2o187b2o2b2o2b2o2b2o2b2o2b2o
2b2o2b2o2b2o2b2o2b2o2b2o3bobo4bo4bo8bo5bo5bo210bo3bo18b2o20b4o47b4o4b
4o9bobo179bo5b2o22bo2bo50b2o6bo5bo3b2o5bo143b4o20bo5b2o6b2o4bo4bo45b6o
7bo2b6o$196bo4b2o22b2o58b3o4bo7b2o135b4ob2o2b4o188b2o2b2o2b2o2b2o2b2o
2b2o2b2o2b2o2b2o2b2o2b2o2b2o3b2o7b2o11b2o3bob2o3bo210b4o14bo4b2o22bo
54bo3bo4bob7o178bobo27bobo50b3o2bobo7bob4o3b3o143b2ob2o19bobo18b4o54b
4o3bo7b2o$194b2o27b4o53b2obobo3b2o4b2o4b2o134b6o265b3o6bo3bo226b2o26b
2o58b3o4bo7b2o177b2o81bo6bo9bo154b2o14bo5b2o21bo59bo4bob3o3bo$195b2o
26bo55b3obo8bo2bo4b2o136b4o4b4o188b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o
2b2o2b2o2b2o3b2o7b2o11b2o3bob2o3bo220b2o5b2o23b4o48bobo3bobobo3b2o4b2o
4b2o253bo5bo6bo7bobo6b3o155bo5bobo24b2o54bo2bob2o2bob2o3bo3bo$273bo4b
2o2b2o8bobo150bo3b2o187b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o
3bobo4bo4bo8bo5bo5bo221b2o30bo51bobo3bobo8bo2bo4b2o193b2o2b2o2b2o2b2o
2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o3bobo4bo4bo8bo5bo5bo154bo
5b2o22bo2bo50b2o6bo5bo3b2o5bo$271b2o6bo2bo17b2o50bo94b2o2bo235bo5bo6bo
7bobo6b3o222bo2bo79b2o6b2o8bobo200b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o
2b2o2b2o2b2o2b2o2b2o2b2o3b2o7b2o11b2o3bob2o3bo153bobo27bobo50b3o2bobo
7bob4o3b3o$242b2o2b2o2b2o2b2o2b2o2b2o2b2o4b2o6b2o8bobo4b2o2b2o48b2o89b
2obobob3o63bo177bo6bo9bo231bo2bo75bo4b2o4b2o17b2o275b3o6bo3bo153b2o81b
o6bo9bo$242b2o2b2o2b2o2b2o2b2o2b2o2b2o24bo4b3o2b2o47bobo66b2o19b3obo6b
o62b4o174b3o2bobo7bob4o3b3o222bo2bob2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o
2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o20bobo4b2o2b2o192b2o2b2o2b2o2b
2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o3b2o7b2o11b2o3bob2o3bo
230bo5bo6bo7bobo6b3o$238b2o50bo2bo6bob3o111b4ob2o12bo4b2o2b2o5b3o49b2o
5bo6b2o99b2o74b2o6bo5bo3b2o5bo223b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b
2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o3b2o21bo4b3o2b2o191b2o2b2o2b2o2b
2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o3bobo4bo4bo8bo5bo5bo166b
2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o3bobo4bo
4bo8bo5bo5bo$237bo2bob2o2b2o2b2o2b2o2b2o2b2o2b2o24bo4b3o2b2o100bo2bo8b
6o11b2o6bo2bo4bo2b3o44b4ob2o4b3o7bo95b2ob2o78bo2bob2o2bob2o3bo3bo321bo
2bo6bob3o251bo5bo6bo7bobo6b3o167b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b
2o2b2o2b2o2b2o2b2o2b2o2b2o3b2o7b2o11b2o3bob2o3bo$238b2o2b2o2b2o2b2o2b
2o2b2o2b2o2b2o4b2o6b2o8bobo4b2o2b2o105bo8b4o8bo4b2o6b2o9bo45b6o7b2ob6o
87b2o6b4o85bo4bob3o3bo224b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b
2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o3b2o21bo4b3o2b2o258bo6bo9bo262b3o6bo3bo$
271b2o6bo2bo17b2o102bo3bo18b2o20b4o47b4o4b4o9bobo81b3ob2o6b2o82b4o3bo
7b2o225b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o
2b2o2b2o2b2o2b2o20bobo4b2o2b2o259b3o2bobo7bob4o3b3o167b2o2b2o2b2o2b2o
2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o3b2o7b2o11b2o3bob2o3bo
$273bo4b2o2b2o8bobo110b4o14bo4b2o22bo54bo3bo4bob7o80b5o83b6o7bo2b6o
306bo4b2o4b2o17b2o185b2o74b2o6bo5bo3b2o5bo167b2o2b2o2b2o2b2o2b2o2b2o2b
2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o3bobo4bo4bo8bo5bo5bo$279b3obo8bo
2bo4b2o119b2o26b2o58b3o4bo7b2o80b3o83bo5bo4bob2o6bo311b2o6b2o8bobo190b
2ob2o78bo2bob2o2bob2o3bo3bo232bo5bo6bo7bobo6b3o$199b4o77b2obobo3b2o4b
2o4b2o112b2o5b2o23b4o48bobo3bobobo3b2o4b2o4b2o50b2o119bo4bo7b2o313bobo
3bobo8bo2bo4b2o175b2o6b4o85bo4bob3o3bo239bo6bo9bo$198bo3bo82b3o4bo7b2o
113b2o30bo51bobo3bobo8bo2bo4b2o47b4ob2o112bo4bo10bo2bo238b4o72bobo3bob
obo3b2o4b2o4b2o171b3ob2o6b2o82b4o3bo7b2o240b3o2bobo7bob4o3b3o$188b5o9b
o80bo3bo4bob7o115b2o80b2o6b2o8bobo54b6o115b2o12bobo238bo3bo82b3o4bo7b
2o172b5o83b6o7bo2b6o168b2o74b2o6bo5bo3b2o5bo$187bo4bo5bo2bo74b4o4b4o9b
obo136bo57bo4b2o4b2o17b2o48b4o361b5o9bo80bo3bo4bob7o174b3o83bo5bo4bob
2o6bo167b2ob2o78bo2bob2o2bob2o3bo3bo$192bo82b6o7b2ob6o135b2o3bo2b2o2b
2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o20bobo4b2o2b2o411bo
4bo5bo2bo74b4o4b4o9bobo146b2o119bo4bo7b2o160b2o6b4o85bo4bob3o3bo$187bo
3bo83b4ob2o4b3o7bo134bo5bo2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o
2b2o2b2o3b2o21bo4b3o2b2o415bo82b6o7b2ob6o145b4ob2o112bo4bo10bo2bo158b
3ob2o6b2o82b4o3bo7b2o$156b6o27bo89b2o5bo6b2o137b2o80bo2bo6bob3o409bo3b
o83b4ob2o4b3o7bo145b6o115b2o12bobo159b5o83b6o7bo2b6o$155bo5bo129b4o
140bobo2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o3b2o21bo4b
3o2b2o379b6o27bo89b2o5bo6b2o148b4o293b3o83bo5bo4bob2o6bo$161bo129bo
144b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o20bobo4b
2o2b2o379bo5bo129b4o416b2o119bo4bo7b2o$155bo4bo333bo4b2o4b2o17b2o386bo
129bo415b4ob2o112bo4bo10bo2bo$157b2o339b2o6b2o8bobo387bo4bo546b6o115b
2o12bobo$499bobo3bobo8bo2bo4b2o382b2o549b4o$423b4o72bobo3bobobo3b2o4b
2o4b2o$422bo3bo82b3o4bo7b2o$412b5o9bo80bo3bo4bob7o$411bo4bo5bo2bo74b4o
4b4o9bobo$416bo82b6o7b2ob6o$411bo3bo83b4ob2o4b3o7bo$380b6o27bo89b2o5bo
6b2o$379bo5bo129b4o$385bo129bo$379bo4bo$381b2o!

In this case, it makes a right triangle. So, the final shape of the LWSS breeder is a right triangle.

All guns are lines (I think), and most methuselahs are 0-4 dots with one dot in the center.

Now, the notation of a final shape isn’t going to be “It’s just a right triangle”, take this pattern for example:

Code: Select all

x = 221, y = 173, rule = B3/S23
148boo$148boo3$143boo$143boo3$159boo$159boo$177bo$154boo20bo$154boo9b
oo9b3o$165boo$$153boo5boo$153boo5boo$$167boo$159boo6boo$159boo3$171boo
4boo$171boo4boo4$174boo$170boobboo5boo$170boo9boo4$178boo$174boobboo5b
oo$174boo9boo$$109boo$109boo$113boo67boo$113boobboo59boobboo$117boo59b
oo4$174boo$174boo4$178boo$178boo9$149boo$149boo4$153boo$153boo9$124boo
$124boo$$193boo24boo$193boo24boo$128boo$128boo$$184boo$87boo95boo33boo
$87boo130boo$$210boo$185boo23boo$91boo92boo$91boo$206boo$206boo5$219b
oo$161boo56boo$161boo10boo$173boo35boo$210boo$$161boo41boo$141boo18boo
41boo$141boo4$132boo70boo$132boo70boo$$127boo66boo$127boo66boo$133boo$
133boo57boo$192boo$$127boo$101boo24boo$101boo$118boo54boo29boo$118boo
54boo29boo$96boo72boo$96boo68boobboo24boo$166boo28boo$114boo31boo13boo
$114boo31boo13boo3$151boo$139bo11boo$138bobo$138bobo$129boo8bo$117boo
4boo4boo34boo4boo$117boo4boo40boo4boo$$133boo$121bo11boo$107boo11bobo$
107boo11bobo$121bo$$111boo$99bo11boo$98bobo$98bobo$99bo4$78boo$78boo3$
82boo$70bo11boo$69bobo$69bobo$70bo3$9boo$9boo3$13boo$bo11boo$obo$obo$b
o!

I personally think that the sides, shapes and lines would be measured relative to each other, for example, the right triangle would be measured something like this:



Hopefully this could spark some discussion and/or conjectures. :]

[simsim314]

You can simply take convex hull. And start measuring its area. You can also ask for low edge count convex hulls. It would be interesting to compete on the smallest convex hull area gun per each period, or say N edges convex hull guns. But it's a lot of work and its not that beneficial to anything else except to "prove a point" in some rando measurement.

[Bullet51]

Convergence is not always guaranteed, e.g. classic sawtooth patterns.
Even if it's guaranteed, the decision problem of "what's the final pattern" may still be undecidable.

But why not try weaker conditions, like limsup or liminf of evolution?

[Gamedziner]

Code: Select all

#C Total aperiodic
#C Bill Gosper
#C A pattern that evolves in such a way that no cell in the plane is eventually periodic.
#C www.conwaylife.com/wiki/index.php?title=Total_aperiodic
41bo17b$40b3o16b$39b2obo5bo10b$39b3o5b3o9b$40b2o4bo2b2o3b3o2b$46b3o4bo2bo2b$56bo2b$56bo2b$56bo2b$40b3o12bo3b$40bo2bo15b$40bo18b$40bo18b$41bo17b7$38b3o18b$38bo2bo11bo5b$38bo13b3o4b$38bo12b2obo4b$38bo12b3o5b$39bo12b2o5b3$35b3o21b$34b5o20b$34b3ob2o7b2o5bo2bob$37b2o7b4o8bo$46b2ob2o3bo3bo$48b2o5b4o3$20bo38b$21bo37b$b2o13bo4bo32b3o2b$4o13b5o34bo2b$2ob2o51bo2b$2b2o51bo3b$36bo22b$37bo21b$21b2o10bo3bo21b$22b2o10b4o15b2o4b$21b2o27b3ob2o3b$21bo28b5o4b$51b3o5b2$22b2o35b$13b4o4b4o34b$12bo3bo4b2ob2o33b$b5o10bo6b2o34b$o4bo9bo43b$5bo53b$4bo!

There are some patterns, like the one shown above, that make identifying every "shape" an extremely difficult, if not impossible, problem.