Thread for basic questions

For general discussion about Conway's Game of Life.
User avatar
yujh
Posts: 2165
Joined: February 27th, 2020, 11:23 pm
Location: 我不觉得我迷路了,但是我不知道我在哪里
Contact:

Re: Thread for basic questions

Post by yujh » March 24th, 2021, 9:04 am

dvgrn wrote:
March 24th, 2021, 8:49 am
yujh wrote:
March 24th, 2021, 8:30 am
Is there another gol chat room somewhere available to me for now?
The Quest for Tetris group had a fairly busy chat room set up on Stack Exchange at one point, for example.
Cool!
How long does it take to get into it?
It seemed that I can’t enter it fast
Loading The Quest for Tetris
Just a second…

User avatar
dvgrn
Moderator
Posts: 7848
Joined: May 17th, 2009, 11:00 pm
Location: Madison, WI
Contact:

Re: Thread for basic questions

Post by dvgrn » March 24th, 2021, 9:23 am

yujh wrote:
March 24th, 2021, 9:04 am
Cool!
How long does it take to get into it?
It seemed that I can’t enter it fast
Loading The Quest for Tetris
Just a second…
It loads fairly quickly for me, I'm afraid. So this might not be a good option for your location, either.

However, the QFT chat room has actually been closed and archived for a while now, so it's possible that a newly created chat room would work better. Time for someone to do some experimenting!

MathAndCode
Posts: 4483
Joined: August 31st, 2020, 5:58 pm

Re: Thread for basic questions

Post by MathAndCode » March 24th, 2021, 9:40 am

What are the grammar conventions for patterns? For example, when I refer to patterns, should I use articles, and if so, should I use the or a? Also, would the following RLE contain hookses?

Code: Select all

x = 34, y = 27, rule = B3/S23
o22bo$3o20b3o$3bo22bo$2b2o21b2o$3b3o$4b2o22b2o$4bo22b2o$5bobob2o17bob
ob2o$3bobob2obo15bobob2obo$3b2o21b2o3$bo$b3o$4bo$3b2o2$6bo13bo$6b2o12b
3o$6bobob2o11bo$4bobob2obo10b2o$4b2o$24b3o$24bo$25bobob2o$23bobob2obo
$23b2o!
I have historically worked on conduits, but recently, I've been working on glider syntheses and investigating SnakeLife.

mniemiec
Posts: 1269
Joined: June 1st, 2013, 12:00 am

Re: Thread for basic questions

Post by mniemiec » March 24th, 2021, 4:19 pm

MathAndCode wrote:
March 24th, 2021, 9:40 am
What are the grammar conventions for patterns? For example, when I refer to patterns, should I use articles, and if so, should I use the or a? Also, would the following RLE contain hookses? ...
There are no hard and fast rules. Life nomenclature has grown haphazardly over the past 50+ years, and when it started, the field wasn't large enough for anyone to worry about consistent nomenclature rules. Some pattern names are proper nouns, while others aren't, yet even so, may take articles (e.g. "Adding a Coe's P8 to the Kok's galaxy provides more useful sparks"). Some pattern names are inherently plural (e.g. hooks), so don't typically use indefinite articles. Just use your best judgment, according to normal rules of English grammar. Feel free to bend those rules, if doing so is necessary to get your point across.

Hunting
Posts: 4382
Joined: September 11th, 2017, 2:54 am

Re: Thread for basic questions

Post by Hunting » March 25th, 2021, 12:50 am

yujh wrote:
March 24th, 2021, 9:04 am
dvgrn wrote:
March 24th, 2021, 8:49 am
yujh wrote:
March 24th, 2021, 8:30 am
Is there another gol chat room somewhere available to me for now?
The Quest for Tetris group had a fairly busy chat room set up on Stack Exchange at one point, for example.
Cool!
How long does it take to get into it?
It seemed that I can’t enter it fast
Loading The Quest for Tetris
Just a second…
It's impossible to enter CGCC chatrooms in China mainland.

但是讨论生命游戏为什么要在CGCC上?那是最差的讨论生命游戏的地方,没有之一,上面有很多民科。
Farewell.
AlephAlpha, privately wrote:What is textcensus? What is attribute?
goldenratio wrote:Ultiminum

Code: Select all

x = 4, y = 5, rule = B2n3/S23-q
2bo$2bo$bobo2$3o!
LeapLife/url] - [url=https://conwaylife.com/forums/viewtopic.php?f=11&t=4367]DirtyLife - LispLife

User avatar
dvgrn
Moderator
Posts: 7848
Joined: May 17th, 2009, 11:00 pm
Location: Madison, WI
Contact:

Re: Thread for basic questions

Post by dvgrn » March 25th, 2021, 8:06 am

Hunting wrote:
March 25th, 2021, 12:50 am
It's impossible to enter CGCC chatrooms in China mainland.

但是讨论生命游戏为什么要在CGCC上?那是最差的讨论生命游戏的地方,没有之一,上面有很多民科。
Google's attempt at translating this last line:
But why is the discussion about the game of life on CGCC? That is the worst place to discuss the game of life, there is no one, there are many folk sciences on it.
The suggestion wasn't to try to re-use the Quest for Tetris chat room, it was to see if a new chat room could reasonably be set up "somewhere else" on Stack Exchange. If the Sandbox keeps being a problem, we could provide a link to that "somewhere else", and then a critical mass of people might show up there.

... Honestly, though, it's not even relevant that CGCC is the "worst place to discuss the game of life" -- since the recent problematic use of the Sandbox has been zero percent related to Conway's Life, or to any cellular automata topic at all.

If that part of current Sandbox activity could just go elsewhere, and be moderated there by whoever (if anyone) wants to moderate such a pointless pile of irrelevant junk, then these forums might stop seeing multiple reported posts per day and we could get back to discussing CA topics.

However, if mainland China can't access any of these Stack Exchange chat rooms -- or at least not without using a VPN (?) -- then that doesn't really solve the problem.

Hunting
Posts: 4382
Joined: September 11th, 2017, 2:54 am

Re: Thread for basic questions

Post by Hunting » March 25th, 2021, 10:48 pm

dvgrn wrote:
March 25th, 2021, 8:06 am
Hunting wrote:
March 25th, 2021, 12:50 am
It's impossible to enter CGCC chatrooms in China mainland.

但是讨论生命游戏为什么要在CGCC上?那是最差的讨论生命游戏的地方,没有之一,上面有很多民科。
Google's attempt at translating this last line:
But why is the discussion about the game of life on CGCC? That is the worst place to discuss the game of life, there is no one, there are many folk sciences on it.
The suggestion wasn't to try to re-use the Quest for Tetris chat room, it was to see if a new chat room could reasonably be set up "somewhere else" on Stack Exchange. If the Sandbox keeps being a problem, we could provide a link to that "somewhere else", and then a critical mass of people might show up there.

... Honestly, though, it's not even relevant that CGCC is the "worst place to discuss the game of life" -- since the recent problematic use of the Sandbox has been zero percent related to Conway's Life, or to any cellular automata topic at all.

If that part of current Sandbox activity could just go elsewhere, and be moderated there by whoever (if anyone) wants to moderate such a pointless pile of irrelevant junk, then these forums might stop seeing multiple reported posts per day and we could get back to discussing CA topics.

However, if mainland China can't access any of these Stack Exchange chat rooms -- or at least not without using a VPN (?) -- then that doesn't really solve the problem.
I mean Stack Exchange chatrooms are outside the GFW sometimes, and as a casual CGCC user I experienced this problem several times.

My point is, CGoL is rather far from code golf. But I wrote it in Chinese because I don't want other people but yujh to read it, effectively a public private message. Google messed up on the "there is no one" part.
Farewell.
AlephAlpha, privately wrote:What is textcensus? What is attribute?
goldenratio wrote:Ultiminum

Code: Select all

x = 4, y = 5, rule = B2n3/S23-q
2bo$2bo$bobo2$3o!
LeapLife/url] - [url=https://conwaylife.com/forums/viewtopic.php?f=11&t=4367]DirtyLife - LispLife

User avatar
Entity Valkyrie 2
Posts: 1039
Joined: February 26th, 2019, 7:13 pm
Location: Hijuatl, Zumaland
Contact:

Re: Thread for basic questions

Post by Entity Valkyrie 2 » March 27th, 2021, 6:33 am

gameoflifemaniac wrote:
June 7th, 2020, 2:56 pm
So what is the easiest synthesizable SS linear growth pattern?
I don't actually know, but I did synthesize Bricklayer:

Code: Select all

x = 12224, y = 319, rule = B3/S23
9676b2o$9676b3o$9675bob2o$8045b2o1539bo88b3o$8044b3o1537bobo89bo$8044b
2obo1537b2o$8045b3o1528bo$8046bo1530b2o$9576b2o3$8088bobo$8088b2o$
8089bo4$1849bo$1848bo$1848b3o$8057b2o12bo$1857bobo6196b3o12bobo$1857b
2o6197b2obo11b2o$1858bo6198b3o$8058bo6$1471bo$1469bobo$1266bo203b2o$
1267b2o5205bo$1266b2o209bobo4994bobo$1311bo166b2o667bobo4324b2o3123bo$
1309b2o167bo668b2o336bo3935bo3178b2o$1310b2o836bo335bo3934bobo3177b2o$
2484b3o3933b2o$1300bo$1298b2o1193bobo3936bo1573bobo$1048bo215bo34b2o
1192b2o353bo3581bobo1574b2o804bo$1049b2o211bobo879bo349bo352bo3583b2o
44bobo805bobo719bo803bobo$1048b2o213b2o878bo703b3o2011bo1615b2o806b2o
1525b2o$2143b3o2713b2o1617bo807bo$851bo205bo3802b2o2416bo$852b2o201bob
o3746bo2472bo$851b2o203b2o3747b2o854bo1615b3o730bo$892bo3911b2o854bo
2350bo$890b2o1082bo149bo164bo160bo201bo149bo42bo141bo284bo376bo376bo
327bo344bo396bo411bo151b3o257bo411bo411bo411bo411bo411bo28b3o365bo404b
o32bobo376bo411bo411bo411bo411bo411bo411bo416bo$891b2o941bobo135b3o
147b3o162b3o158b3o199b3o147b3o40b2o140b3o282b3o374b3o374b3o325b3o342b
3o394b3o409b3o409b3o409b3o409b3o409b3o409b3o409b3o394b3o402b3o33b2o
374b3o409b3o409b3o409b3o409b3o409b3o409b3o414b3o$1834b2o135bo128bobo
18bo164bo160bo201bo149bo44b2o138bo284bo376bo376bo327bo344bo396bo411bo
148bo262bo411bo411bo411bo411bo411bo396bo404bo36bo374bo411bo411bo411bo
411bo411bo411bo416bo$1308bo526bo135b2o130bo17b2o163b2o159b2o200b2o148b
2o183b2o283b2o375b2o375b2o326b2o343b2o395b2o410b2o145b2o263b2o410b2o
410b2o410b2o410b2o410b2o395b2o403b2o410b2o410b2o410b2o410b2o410b2o410b
2o410b2o415b2o$1306b2o489b2o304bo177bo160bo201bo149bo184bo284bo376bo
376bo327bo344bo396bo411bo152b2o257bo411bo99bo311bo411bo411bo411bo396bo
404bo411bo411bo411bo411bo411bo411bo411bo20bo395bo$1307b2o346b2o118b2o
20b3o125b2o148b2o23bo2bo136b2o38b4o117b2o38b4o158b2o38b4o106b2o38b4o
141b2o38b4o241b2o38b4o333b2o38b4o333b2o38b4o284b2o38b4o301b2o38b4o353b
2o38b4o368b2o38b4o368b2o38b4o368b2o38b4o95bobo270b2o38b4o368b2o38b4o
368b2o38b4o368b2o38b4o353b2o38b4o361b2o38b4o368b2o38b4o368b2o38b4o368b
2o38b4o368b2o38b4o368b2o38b4o368b2o38b4o368b2o38b4o19b2o352b2o38b4o$
1295bo87b2o99b2o150b2o15b2o2bo98b2o15b2o2bo18bob2o106b2o15b2o2bo128b2o
15b2o2bo23b3o117b2o15b2o2bo36bob4o97b2o15b2o2bo36bob4o138b2o15b2o2bo
36bob4o86b2o15b2o2bo36bob4o121b2o15b2o2bo36bob4o221b2o15b2o2bo36bob4o
313b2o15b2o2bo36bob4o313b2o15b2o2bo36bob4o264b2o15b2o2bo36bob4o281b2o
15b2o2bo36bob4o159bo173b2o15b2o2bo36bob4o348b2o15b2o2bo36bob4o348b2o
15b2o2bo36bob4o348b2o15b2o2bo36bob4o95b2o251b2o15b2o2bo36bob4o348b2o
15b2o2bo36bob4o348b2o15b2o2bo36bob4o348b2o15b2o2bo36bob4o333b2o15b2o2b
o36bob4o58bo282b2o15b2o2bo36bob4o58bo289b2o15b2o2bo36bob4o58bo289b2o
15b2o2bo36bob4o58bo289b2o15b2o2bo36bob4o58bo289b2o15b2o2bo36bob4o58bo
289b2o15b2o2bo36bob4o58bo289b2o15b2o2bo36bob4o58bo289b2o15b2o2bo36bob
4o17b2o39bo294b2o15b2o2bo36bob4o58bo$1296b2o86bo100bo151bo7bo7bo3bo99b
o7bo7bo3bo18b3o108bo7bo7bo3bo43b2o84bo7bo7bo3bo43b2o99bo7bo7bo3bo36b2o
4bo97bo7bo7bo3bo36b2o4bo138bo7bo7bo3bo36b2o4bo86bo7bo7bo3bo36b2o4bo
121bo7bo7bo3bo36b2o4bo221bo7bo7bo3bo36b2o4bo313bo7bo7bo3bo36b2o4bo313b
o7bo7bo3bo36b2o4bo264bo7bo7bo3bo36b2o4bo281bo7bo7bo3bo36b2o4bo158bobo
172bo7bo7bo3bo36b2o4bo348bo7bo7bo3bo36b2o4bo348bo7bo7bo3bo36b2o4bo348b
o7bo7bo3bo36b2o4bo116bo231bo7bo7bo3bo36b2o4bo348bo7bo7bo3bo36b2o4bo
348bo7bo7bo3bo36b2o4bo348bo7bo7bo3bo36b2o4bo333bo7bo7bo3bo36b2o4bo57b
3o281bo7bo7bo3bo36b2o4bo57b3o288bo7bo7bo3bo36b2o4bo57b3o288bo7bo7bo3bo
36b2o4bo57b3o288bo7bo7bo3bo36b2o4bo57b3o288bo7bo7bo3bo36b2o4bo57b3o
288bo7bo7bo3bo36b2o4bo57b3o288bo7bo7bo3bo36b2o4bo57b3o288bo7bo7bo3bo
36b2o4bo57b3o293bo7bo7bo3bo36b2o4bo57b3o$858bo436b2o87bobo3b2o93bobo3b
2o144bobo3b2ob2o4bo4bo99bobo3b2ob2o4bo4bo19bo34bo74bobo3b2ob2o4bo4bo
43b2o84bobo3b2ob2o4bo4bo43b2o99bobo3b2ob2o4bo4bo36b5obob2o94bobo3b2ob
2o4bo4bo36b5obob2o135bobo3b2ob2o4bo4bo36b5obob2o83bobo3b2ob2o4bo4bo36b
5obob2o118bobo3b2ob2o4bo4bo36b5obob2o218bobo3b2ob2o4bo4bo36b5obob2o
310bobo3b2ob2o4bo4bo36b5obob2o310bobo3b2ob2o4bo4bo36b5obob2o261bobo3b
2ob2o4bo4bo36b5obob2o278bobo3b2ob2o4bo4bo36b5obob2o155b2o173bobo3b2ob
2o4bo4bo36b5obob2o345bobo3b2ob2o4bo4bo36b5obob2o345bobo3b2ob2o4bo4bo
36b5obob2o345bobo3b2ob2o4bo4bo36b5obob2o113bobo229bobo3b2ob2o4bo4bo36b
5obob2o345bobo3b2ob2o4bo4bo36b5obob2o345bobo3b2ob2o4bo4bo36b5obob2o
345bobo3b2ob2o4bo4bo36b5obob2o330bobo3b2ob2o4bo4bo36b5obob2o57bo280bob
o3b2ob2o4bo4bo36b5obob2o57bo287bobo3b2ob2o4bo4bo36b5obob2o57bo287bobo
3b2ob2o4bo4bo36b5obob2o57bo287bobo3b2ob2o4bo4bo36b5obob2o57bo287bobo3b
2ob2o4bo4bo36b5obob2o57bo287bobo3b2ob2o4bo4bo36b5obob2o57bo287bobo3b2o
b2o4bo4bo36b5obob2o57bo287bobo3b2ob2o4bo4bo36b5obob2o57bo292bobo3b2ob
2o4bo4bo36b5obob2o57bo$856bobo445bo80b2o3b2o94b2o3b2o145b2o10bob3obo
101b2o10bob3obo54bo76b2o10bob3obo131b2o10bob3obo146b2o10bob3obo38b2o4b
3o95b2o10bob3obo38b2o4b3o136b2o10bob3obo38b2o4b3o84b2o10bob3obo38b2o4b
3o119b2o10bob3obo38b2o4b3o219b2o10bob3obo38b2o4b3o311b2o10bob3obo38b2o
4b3o311b2o10bob3obo38b2o4b3o262b2o10bob3obo38b2o4b3o279b2o10bob3obo38b
2o4b3o331b2o10bob3obo38b2o4b3o346b2o10bob3obo38b2o4b3o346b2o10bob3obo
38b2o4b3o346b2o10bob3obo38b2o4b3o113b2o231b2o10bob3obo38b2o4b3o346b2o
10bob3obo38b2o4b3o346b2o10bob3obo38b2o4b3o346b2o10bob3obo38b2o4b3o331b
2o10bob3obo38b2o4b3o56b2o281b2o10bob3obo38b2o4b3o56b2o17b2o269b2o10bob
3obo38b2o4b3o56b2o288b2o10bob3obo38b2o4b3o56b2o288b2o10bob3obo38b2o4b
3o56b2o288b2o10bob3obo38b2o4b3o56b2o288b2o10bob3obo38b2o4b3o56b2o288b
2o10bob3obo38b2o4b3o56b2o288b2o10bob3obo38b2o4b3o56b2o293b2o10bob3obo
38b2o4b3o56b2o$688bo168b2o443bobo338b2o5bo3bobo106b2o5bo3bobo54b3o79b
2o5bo3bobo136b2o5bo3bobo151b2o5bo3bobo39b3o3b2o100b2o5bo3bobo39b3o3b2o
141b2o5bo3bobo39b3o3b2o89b2o5bo3bobo39b3o3b2o124b2o5bo3bobo39b3o3b2o
224b2o5bo3bobo39b3o3b2o316b2o5bo3bobo39b3o3b2o316b2o5bo3bobo39b3o3b2o
267b2o5bo3bobo39b3o3b2o284b2o5bo3bobo39b3o3b2o114bo221b2o5bo3bobo39b3o
3b2o351b2o5bo3bobo39b3o3b2o351b2o5bo3bobo39b3o3b2o351b2o5bo3bobo39b3o
3b2o105bobo243b2o5bo3bobo39b3o3b2o351b2o5bo3bobo39b3o3b2o351b2o5bo3bob
o39b3o3b2o351b2o5bo3bobo39b3o3b2o336b2o5bo3bobo39b3o3b2o344b2o5bo3bobo
39b3o3b2o74b3o274b2o5bo3bobo39b3o3b2o62b2o287b2o5bo3bobo39b3o3b2o62b2o
287b2o5bo3bobo39b3o3b2o62b2o287b2o5bo3bobo39b3o3b2o62b2o287b2o5bo3bobo
39b3o3b2o62b2o287b2o5bo3bobo39b3o3b2o62b2o287b2o5bo3bobo39b3o3b2o62b2o
292b2o5bo3bobo39b3o3b2o62b2o$686b2o615b2o3bo333bobo3bo5b2o106bobo3bo5b
2o136bobo3bo5b2o136bobo3bo5b2o151bobo3bo5b2o41bobo103bobo3bo5b2o41bobo
144bobo3bo5b2o41bobo92bobo3bo5b2o41bobo127bobo3bo5b2o41bobo227bobo3bo
5b2o41bobo319bobo3bo5b2o41bobo319bobo3bo5b2o41bobo270bobo3bo5b2o41bobo
287bobo3bo5b2o41bobo119b2o218bobo3bo5b2o41bobo354bobo3bo5b2o41bobo354b
obo3bo5b2o41bobo354bobo3bo5b2o41bobo109b2o243bobo3bo5b2o41bobo354bobo
3bo5b2o41bobo354bobo3bo5b2o41bobo106b3o245bobo3bo5b2o41bobo106b3o230bo
bo3bo5b2o41bobo106b3o238bobo3bo5b2o41bobo78b2obo24b3o245bobo3bo5b2o41b
obo63bo42b3o245bobo3bo5b2o41bobo63bo42b3o245bobo3bo5b2o41bobo63bo42b3o
245bobo3bo5b2o41bobo63bo42b3o245bobo3bo5b2o41bobo63bo42b3o245bobo3bo5b
2o41bobo63bo42b3o245bobo3bo5b2o41bobo33bo29bo42b3o250bobo3bo5b2o41bobo
63bo42b3o$687b2o194bo422b2o93b2o3b2o94b2o3b2o133bob3obo10b2o101bob3obo
10b2o131bob3obo10b2o131bob3obo10b2o146bob3obo10b2o142bob3obo10b2o183bo
b3obo10b2o131bob3obo10b2o166bob3obo10b2o266bob3obo10b2o358bob3obo10b2o
358bob3obo10b2o309bob3obo10b2o326bob3obo10b2o157b2o219bob3obo10b2o393b
ob3obo10b2o393bob3obo10b2o393bob3obo10b2o135bo13bo243bob3obo10b2o164b
2o227bob3obo10b2o164b2o227bob3obo10b2o144bob3o15b2o227bob3obo10b2o144b
ob3o15b2o212bob3obo10b2o144bob3o15b2o220bob3obo10b2o118b3o23bob3o15b2o
227bob3obo10b2o102bo4bo36bob3o15b2o227bob3obo10b2o102bo4bo36bob3o15b2o
227bob3obo10b2o102bo4bo36bob3o15b2o227bob3obo10b2o102bo4bo36bob3o15b2o
227bob3obo10b2o102bo4bo36bob3o15b2o227bob3obo10b2o102bo4bo36bob3o15b2o
227bob3obo10b2o72bobo27bo4bo36bob3o15b2o232bob3obo10b2o102bo4bo36bob3o
15b2o$667bo213b2o424b2o92b2o3bobo93b2o3bobo131bo4bo4b2ob2o3bobo99bo4bo
4b2ob2o3bobo129bo4bo4b2ob2o3bobo129bo4bo4b2ob2o3bobo144bo4bo4b2ob2o3bo
bo37b2o101bo4bo4b2ob2o3bobo37b2o142bo4bo4b2ob2o3bobo37b2o90bo4bo4b2ob
2o3bobo37b2o125bo4bo4b2ob2o3bobo37b2o225bo4bo4b2ob2o3bobo37b2o317bo4bo
4b2ob2o3bobo37b2o317bo4bo4b2ob2o3bobo37b2o268bo4bo4b2ob2o3bobo37b2o
285bo4bo4b2ob2o3bobo37b2o337bo4bo4b2ob2o3bobo37b2o352bo4bo4b2ob2o3bobo
37b2o352bo4bo4b2ob2o3bobo37b2o352bo4bo4b2ob2o3bobo37b2o93bobo256bo4bo
4b2ob2o3bobo37b2o124bo227bo4bo4b2ob2o3bobo37b2o124bo227bo4bo4b2ob2o3bo
bo37b2o103b3ob3o5b3o6bo227bo4bo4b2ob2o3bobo37b2o103b3ob3o5b3o6bo212bo
4bo4b2ob2o3bobo37b2o59b2o42b3ob3o5b3o6bo220bo4bo4b2ob2o3bobo37b2o59b2o
18bo23b3ob3o5b3o6bo227bo4bo4b2ob2o3bobo37b2o60b2o6bo34b3ob3o5b3o6bo
227bo4bo4b2ob2o3bobo37b2o60b2o6bo34b3ob3o5b3o6bo227bo4bo4b2ob2o3bobo
37b2o60b2o6bo34b3ob3o5b3o6bo227bo4bo4b2ob2o3bobo37b2o60b2o6bo34b3ob3o
5b3o6bo227bo4bo4b2ob2o3bobo37b2o60b2o6bo34b3ob3o5b3o6bo227bo4bo4b2ob2o
3bobo37b2o60b2o6bo34b3ob3o5b3o6bo227bo4bo4b2ob2o3bobo37b2o32b2o26b2o6b
o34b3ob3o5b3o6bo232bo4bo4b2ob2o3bobo37b2o60b2o6bo34b3ob3o5b3o6bo$668b
2o212b2o524bo100bo131bo3bo7bo7bo99bo3bo7bo7bo129bo3bo7bo7bo129bo3bo7bo
7bo15b2o127bo3bo7bo7bo140bo3bo7bo7bo181bo3bo7bo7bo129bo3bo7bo7bo164bo
3bo7bo7bo264bo3bo7bo7bo356bo3bo7bo7bo356bo3bo7bo7bo307bo3bo7bo7bo324bo
3bo7bo7bo376bo3bo7bo7bo391bo3bo7bo7bo391bo3bo7bo7bo391bo3bo7bo7bo133b
2o256bo3bo7bo7bo156b2o3bobo227bo3bo7bo7bo156b2o3bobo227bo3bo7bo7bo143b
2obob2o4b3o4bobo227bo3bo7bo7bo143b2obob2o4b3o4bobo212bo3bo7bo7bo98b2o
43b2obob2o4b3o4bobo220bo3bo7bo7bo98b2o43b2obob2o4b3o4bobo227bo3bo7bo7b
o97bo2b2obo39b2obob2o4b3o4bobo227bo3bo7bo7bo97bo2b2obo39b2obob2o4b3o4b
obo227bo3bo7bo7bo97bo2b2obo39b2obob2o4b3o4bobo227bo3bo7bo7bo97bo2b2obo
39b2obob2o4b3o4bobo227bo3bo7bo7bo97bo2b2obo39b2obob2o4b3o4bobo227bo3bo
7bo7bo97bo2b2obo39b2obob2o4b3o4bobo227bo3bo7bo7bo97bo2b2obo39b2obob2o
4b3o4bobo232bo3bo7bo7bo97bo2b2obo39b2obob2o4b3o4bobo$667b2o739b2o99b2o
130bo2b2o15b2o98bo2b2o15b2o128bo2b2o15b2o128bo2b2o15b2o14b3o126bo2b2o
15b2o37bobo99bo2b2o15b2o37bobo140bo2b2o15b2o37bobo88bo2b2o15b2o37bobo
123bo2b2o15b2o37bobo223bo2b2o15b2o37bobo315bo2b2o15b2o37bobo315bo2b2o
15b2o37bobo266bo2b2o15b2o37bobo283bo2b2o15b2o37bobo335bo2b2o15b2o37bob
o350bo2b2o15b2o37bobo350bo2b2o15b2o37bobo350bo2b2o15b2o37bobo350bo2b2o
15b2o37bobo115b2o3b2o228bo2b2o15b2o37bobo115b2o3b2o228bo2b2o15b2o37bob
o102b2obobo6bo5b2o228bo2b2o15b2o37bobo102b2obobo6bo5b2o213bo2b2o15b2o
37bobo102b2obobo6bo5b2o221bo2b2o15b2o37bobo102b2obobo6bo5b2o228bo2b2o
15b2o37bobo55bo4bo4bo36b2obobo6bo5b2o228bo2b2o15b2o37bobo55bo4bo4bo36b
2obobo6bo5b2o228bo2b2o15b2o37bobo55bo4bo4bo36b2obobo6bo5b2o228bo2b2o
15b2o37bobo55bo4bo4bo36b2obobo6bo5b2o228bo2b2o15b2o37bobo55bo4bo4bo36b
2obobo6bo5b2o228bo2b2o15b2o37bobo55bo4bo4bo36b2obobo6bo5b2o228bo2b2o
15b2o37bobo55bo4bo4bo36b2obobo6bo5b2o233bo2b2o15b2o37bobo55bo4bo4bo36b
2obobo6bo5b2o$676bo504b3o98b3o98b3o98b3o149b3o3b2o112b3o3b2o142b3o3b2o
142b3o3b2o32bob2o121b3o3b2o52b2o3b3o93b3o3b2o52b2o3b3o134b3o3b2o52b2o
3b3o82b3o3b2o52b2o3b3o117b3o3b2o52b2o3b3o217b3o3b2o52b2o3b3o309b3o3b2o
52b2o3b3o309b3o3b2o52b2o3b3o260b3o3b2o52b2o3b3o277b3o3b2o52b2o3b3o329b
3o3b2o52b2o3b3o344b3o3b2o52b2o3b3o344b3o3b2o52b2o3b3o344b3o3b2o52b2o3b
3o344b3o3b2o52b2o3b3o344b3o3b2o52b2o3b3o344b3o3b2o52b2o3b3o102bo4bobo
4b2o228b3o3b2o52b2o3b3o102bo4bobo4b2o213b3o3b2o52b2o3b3o102bo4bobo4b2o
221b3o3b2o52b2o3b3o102bo4bobo4b2o228b3o3b2o52b2o3b3o55bobo2bo2bo38bo4b
obo4b2o228b3o3b2o52b2o3b3o55bobo2bo2bo38bo4bobo4b2o228b3o3b2o52b2o3b3o
55bobo2bo2bo38bo4bobo4b2o228b3o3b2o52b2o3b3o55bobo2bo2bo38bo4bobo4b2o
228b3o3b2o52b2o3b3o55bobo2bo2bo38bo4bobo4b2o228b3o3b2o52b2o3b3o55bobo
2bo2bo38bo4bobo4b2o228b3o3b2o52b2o3b3o55bobo2bo2bo38bo4bobo4b2o233b3o
3b2o52b2o3b3o55bobo2bo2bo38bo4bobo4b2o$674bobo284b2o99b2o99b2o15b3obo
79b2o15b3obo79b2o15b3obo79b2o15b3obo130b2o15b3obo98b2o15b3obo128b2o15b
3obo128b2o15b3obo36b3o104b2o15b3obo56b3o4b2o74b2o15b3obo56b3o4b2o115b
2o15b3obo56b3o4b2o63b2o15b3obo56b3o4b2o98b2o15b3obo56b3o4b2o198b2o15b
3obo56b3o4b2o290b2o15b3obo56b3o4b2o290b2o15b3obo56b3o4b2o241b2o15b3obo
56b3o4b2o258b2o15b3obo56b3o4b2o310b2o15b3obo56b3o4b2o325b2o15b3obo56b
3o4b2o325b2o15b3obo56b3o4b2o325b2o15b3obo56b3o4b2o325b2o15b3obo56b3o4b
2o325b2o15b3obo56b3o4b2o325b2o15b3obo56b3o4b2o102b2o4bobo4bo209b2o15b
3obo56b3o4b2o102b2o4bobo4bo194b2o15b3obo56b3o4b2o102b2o4bobo4bo202b2o
15b3obo56b3o4b2o102b2o4bobo4bo209b2o15b3obo56b3o4b2o60b2o40b2o4bobo4bo
209b2o15b3obo56b3o4b2o21bo38b2o40b2o4bobo4bo209b2o15b3obo56b3o4b2o60b
2o40b2o4bobo4bo209b2o15b3obo56b3o4b2o60b2o40b2o4bobo4bo209b2o15b3obo
56b3o4b2o60b2o40b2o4bobo4bo209b2o15b3obo56b3o4b2o60b2o40b2o4bobo4bo
209b2o15b3obo56b3o4b2o60b2o40b2o4bobo4bo214b2o15b3obo56b3o4b2o60b2o40b
2o4bobo4bo$675b2o11bo273bo100bo100bo6b3o5b3ob3o79bo6b3o5b3ob3o79bo6b3o
5b3ob3o79bo6b3o5b3ob3o77bo52bo6b3o5b3ob3o98bo6b3o5b3ob3o128bo6b3o5b3ob
3o56b2o70bo6b3o5b3ob3o36bo19b2o85bo6b3o5b3ob3o55b2obob5o74bo6b3o5b3ob
3o55b2obob5o115bo6b3o5b3ob3o55b2obob5o9bo53bo6b3o5b3ob3o55b2obob5o9bo
88bo6b3o5b3ob3o55b2obob5o9bo188bo6b3o5b3ob3o55b2obob5o9bo280bo6b3o5b3o
b3o55b2obob5o9bo280bo6b3o5b3ob3o55b2obob5o9bo231bo6b3o5b3ob3o55b2obob
5o9bo248bo6b3o5b3ob3o55b2obob5o9bo300bo6b3o5b3ob3o55b2obob5o9bo315bo6b
3o5b3ob3o55b2obob5o9bo315bo6b3o5b3ob3o55b2obob5o9bo315bo6b3o5b3ob3o55b
2obob5o9bo315bo6b3o5b3ob3o55b2obob5o9bo86b2o3b2o222bo6b3o5b3ob3o55b2ob
ob5o9bo86b2o3b2o222bo6b3o5b3ob3o55b2obob5o9bo86b2o5bo6bobob2o209bo6b3o
5b3ob3o55b2obob5o9bo86b2o5bo6bobob2o194bo6b3o5b3ob3o55b2obob5o9bo86b2o
5bo6bobob2o202bo6b3o5b3ob3o55b2obob5o9bo86b2o5bo6bobob2o209bo6b3o5b3ob
3o55b2obob5o9bo46b3o37b2o5bo6bobob2o209bo6b3o5b3ob3o55b2obob5o9bo10bob
o33b3o37b2o5bo6bobob2o209bo6b3o5b3ob3o55b2obob5o9bo46b3o37b2o5bo6bobob
2o209bo6b3o5b3ob3o55b2obob5o9bo46b3o37b2o5bo6bobob2o209bo6b3o5b3ob3o
55b2obob5o9bo46b3o37b2o5bo6bobob2o209bo6b3o5b3ob3o55b2obob5o9bo46b3o
37b2o5bo6bobob2o209bo6b3o5b3ob3o55b2obob5o9bo46b3o37b2o5bo6bobob2o214b
o6b3o5b3ob3o55b2obob5o9bo46b3o37b2o5bo6bobob2o$686b2o274bobo3b2o93bobo
3b2o93bobo4b3o4b2obob2o80bobo4b3o4b2obob2o80bobo4b3o4b2obob2o80bobo4b
3o4b2obob2o76b2o53bobo4b3o4b2obob2o99bobo4b3o4b2obob2o129bobo4b3o4b2ob
ob2o57b2o70bobo4b3o4b2obob2o57b2o85bobo4b3o4b2obob2o59bo4b2o74bobo4b3o
4b2obob2o59bo4b2o115bobo4b3o4b2obob2o59bo4b2o7b3o53bobo4b3o4b2obob2o
45b2o12bo4b2o7b3o88bobo4b3o4b2obob2o59bo4b2o7b3o188bobo4b3o4b2obob2o
59bo4b2o7b3o280bobo4b3o4b2obob2o59bo4b2o7b3o280bobo4b3o4b2obob2o59bo4b
2o7b3o231bobo4b3o4b2obob2o59bo4b2o7b3o248bobo4b3o4b2obob2o59bo4b2o7b3o
300bobo4b3o4b2obob2o59bo4b2o7b3o315bobo4b3o4b2obob2o59bo4b2o7b3o315bob
o4b3o4b2obob2o59bo4b2o7b3o315bobo4b3o4b2obob2o59bo4b2o7b3o315bobo4b3o
4b2obob2o59bo4b2o7b3o85bobo3b2o222bobo4b3o4b2obob2o59bo4b2o7b3o85bobo
3b2o222bobo4b3o4b2obob2o59bo4b2o7b3o85bobo4b3o4b2obob2o209bobo4b3o4b2o
bob2o59bo4b2o7b3o85bobo4b3o4b2obob2o194bobo4b3o4b2obob2o59bo4b2o7b3o
85bobo4b3o4b2obob2o202bobo4b3o4b2obob2o59bo4b2o7b3o85bobo4b3o4b2obob2o
209bobo4b3o4b2obob2o59bo4b2o7b3o85bobo4b3o4b2obob2o209bobo4b3o4b2obob
2o59bo4b2o7b3o10b2o73bobo4b3o4b2obob2o209bobo4b3o4b2obob2o59bo4b2o7b3o
85bobo4b3o4b2obob2o209bobo4b3o4b2obob2o59bo4b2o7b3o85bobo4b3o4b2obob2o
209bobo4b3o4b2obob2o59bo4b2o7b3o85bobo4b3o4b2obob2o209bobo4b3o4b2obob
2o59bo4b2o7b3o85bobo4b3o4b2obob2o209bobo4b3o4b2obob2o59bo4b2o7b3o85bob
o4b3o4b2obob2o214bobo4b3o4b2obob2o59bo4b2o7b3o85bobo4b3o4b2obob2o$687b
2o274b2o3b2o94b2o3b2o94b2o5bo6bobob2o81b2o5bo6bobob2o81b2o5bo6bobob2o
81b2o5bo6bobob2o77b2o53b2o5bo6bobob2o6bo93b2o5bo6bobob2o6bo123b2o5bo6b
obob2o6bo123b2o5bo6bobob2o6bo138b2o5bo6bobob2o6bo53b4obo75b2o5bo6bobob
2o6bo53b4obo18bobo95b2o5bo6bobob2o6bo53b4obo6bo57b2o5bo6bobob2o6bo37b
3o13b4obo6bo92b2o5bo6bobob2o6bo53b4obo6bo192b2o5bo6bobob2o6bo53b4obo6b
o284b2o5bo6bobob2o6bo53b4obo6bo284b2o5bo6bobob2o6bo53b4obo6bo235b2o5bo
6bobob2o6bo53b4obo6bo252b2o5bo6bobob2o6bo53b4obo6bo105bo198b2o5bo6bobo
b2o6bo53b4obo6bo319b2o5bo6bobob2o6bo53b4obo6bo319b2o5bo6bobob2o6bo53b
4obo6bo319b2o5bo6bobob2o6bo53b4obo6bo319b2o5bo6bobob2o6bo53b4obo6bo88b
o230b2o5bo6bobob2o6bo53b4obo6bo88bo230b2o5bo6bobob2o6bo53b4obo6bo88bo
6b3o5b3ob3o209b2o5bo6bobob2o6bo53b4obo6bo88bo6b3o5b3ob3o194b2o5bo6bobo
b2o6bo53b4obo6bo88bo6b3o5b3ob3o202b2o5bo6bobob2o6bo53b4obo6bo70bobo15b
o6b3o5b3ob3o209b2o5bo6bobob2o6bo53b4obo6bo48b3o37bo6b3o5b3ob3o209b2o5b
o6bobob2o6bo53b4obo6bo48b3o37bo6b3o5b3ob3o209b2o5bo6bobob2o6bo53b4obo
6bo48b3o37bo6b3o5b3ob3o209b2o5bo6bobob2o6bo53b4obo6bo48b3o37bo6b3o5b3o
b3o209b2o5bo6bobob2o6bo53b4obo6bo48b3o37bo6b3o5b3ob3o209b2o5bo6bobob2o
6bo53b4obo6bo48b3o37bo6b3o5b3ob3o209b2o5bo6bobob2o6bo53b4obo6bo48b3o
37bo6b3o5b3ob3o214b2o5bo6bobob2o6bo53b4obo6bo48b3o37bo6b3o5b3ob3o$
1170b2o4bobo4bo87b2o4bobo4bo87b2o4bobo4bo87b2o4bobo4bo138b2o4bobo4bo5b
obo98b2o4bobo4bo5bobo128b2o4bobo4bo5bobo128b2o4bobo4bo5bobo143b2o4bobo
4bo5bobo54b4o81b2o4bobo4bo5bobo54b4o19b2o101b2o4bobo4bo5bobo54b4o7b2o
61b2o4bobo4bo5bobo37b2obo13b4o7b2o96b2o4bobo4bo5bobo54b4o7b2o196b2o4bo
bo4bo5bobo54b4o7b2o288b2o4bobo4bo5bobo54b4o7b2o288b2o4bobo4bo5bobo54b
4o7b2o239b2o4bobo4bo5bobo54b4o7b2o256b2o4bobo4bo5bobo54b4o7b2o105b2o
201b2o4bobo4bo5bobo54b4o7b2o323b2o4bobo4bo5bobo54b4o7b2o323b2o4bobo4bo
5bobo54b4o7b2o111bo211b2o4bobo4bo5bobo54b4o7b2o111bo211b2o4bobo4bo5bob
o54b4o7b2o86b2o23bo211b2o4bobo4bo5bobo54b4o7b2o86b2o23bo211b2o4bobo4bo
5bobo54b4o7b2o86b2o15b3obo3bo211b2o4bobo4bo5bobo54b4o7b2o86b2o15b3obo
3bo196b2o4bobo4bo5bobo54b4o7b2o86b2o15b3obo3bo204b2o4bobo4bo5bobo54b4o
7b2o72bo13b2o15b3obo3bo211b2o4bobo4bo5bobo54b4o7b2o45b2o39b2o15b3obo3b
o211b2o4bobo4bo5bobo54b4o7b2o45b2o39b2o15b3obo3bo211b2o4bobo4bo5bobo
54b4o7b2o45b2o39b2o15b3obo3bo211b2o4bobo4bo5bobo54b4o7b2o45b2o39b2o15b
3obo3bo211b2o4bobo4bo5bobo54b4o7b2o45b2o39b2o15b3obo3bo211b2o4bobo4bo
5bobo54b4o7b2o45b2o39b2o15b3obo3bo211b2o4bobo4bo5bobo54b4o7b2o45b2o39b
2o15b3obo3bo216b2o4bobo4bo5bobo54b4o7b2o45b2o39b2o15b3obo3bo$1169bo4bo
bo4b2o87bo4bobo4b2o87bo4bobo4b2o87bo4bobo4b2o71bo66bo4bobo4b2o7b2o97bo
4bobo4b2o7b2o127bo4bobo4b2o7b2o127bo4bobo4b2o7b2o142bo4bobo4b2o7b2o56b
o81bo4bobo4b2o7b2o56bo21bo100bo4bobo4b2o7b2o56bo70bo4bobo4b2o7b2o38b3o
15bo105bo4bobo4b2o7b2o56bo205bo4bobo4b2o7b2o56bo297bo4bobo4b2o7b2o56bo
297bo4bobo4b2o7b2o56bo248bo4bobo4b2o7b2o56bo265bo4bobo4b2o7b2o56bo114b
2o201bo4bobo4b2o7b2o56bo332bo4bobo4b2o7b2o56bo332bo4bobo4b2o7b2o56bo
120bo2bo208bo4bobo4b2o7b2o56bo120bo2bo208bo4bobo4b2o7b2o56bo120bo2bo
208bo4bobo4b2o7b2o56bo120bo2bo208bo4bobo4b2o7b2o56bo114b3o3bo2bo208bo
4bobo4b2o7b2o56bo114b3o3bo2bo193bo4bobo4b2o7b2o56bo114b3o3bo2bo201bo4b
obo4b2o7b2o56bo82bo31b3o3bo2bo208bo4bobo4b2o7b2o56bo54bo2bo2bobo51b3o
3bo2bo208bo4bobo4b2o7b2o56bo54bo2bo2bobo51b3o3bo2bo208bo4bobo4b2o7b2o
56bo54bo2bo2bobo51b3o3bo2bo208bo4bobo4b2o7b2o56bo54bo2bo2bobo51b3o3bo
2bo208bo4bobo4b2o7b2o56bo54bo2bo2bobo51b3o3bo2bo208bo4bobo4b2o7b2o56bo
54bo2bo2bobo51b3o3bo2bo208bo4bobo4b2o7b2o56bo54bo2bo2bobo51b3o3bo2bo
213bo4bobo4b2o7b2o56bo54bo2bo2bobo51b3o3bo2bo$756b2o3b2o120b2o3b2o89b
2o3b2o94b2o3b2o81b2obobo6bo5b2o81b2obobo6bo5b2o81b2obobo6bo5b2o81b2obo
bo6bo5b2o66bobo63b2obobo6bo5b2o100b2obobo6bo5b2o130b2obobo6bo5b2o54b2o
74b2obobo6bo5b2o54b2o89b2obobo6bo5b2o54b2o85b2obobo6bo5b2o54b2o126b2ob
obo6bo5b2o54b2o74b2obobo6bo5b2o43bo10b2o109b2obobo6bo5b2o54b2o7b3o199b
2obobo6bo5b2o54b2o7b3o291b2obobo6bo5b2o54b2o7b3o291b2obobo6bo5b2o54b2o
7b3o242b2obobo6bo5b2o54b2o7b3o259b2obobo6bo5b2o54b2o7b3o122bo188b2obob
o6bo5b2o54b2o7b3o134b2o190b2obobo6bo5b2o54b2o7b3o134b2o190b2obobo6bo5b
2o54b2o7b3o113bo5bo6bo7b2o190b2obobo6bo5b2o54b2o7b3o113bo5bo6bo7b2o
190b2obobo6bo5b2o54b2o7b3o113bo5bo6bo7b2o190b2obobo6bo5b2o54b2o7b3o
113bo5bo6bo7b2o190b2obobo6bo5b2o54b2o7b3o113bo5bo6bo7b2o190b2obobo6bo
5b2o54b2o7b3o113bo5bo6bo7b2o175b2obobo6bo5b2o54b2o7b3o113bo5bo6bo7b2o
183b2obobo6bo5b2o54b2o7b3o74bo2bo35bo5bo6bo7b2o190b2obobo6bo5b2o54b2o
7b3o48bo4bo4bo54bo5bo6bo7b2o190b2obobo6bo5b2o54b2o7b3o48bo4bo4bo54bo5b
o6bo7b2o190b2obobo6bo5b2o54b2o7b3o48bo4bo4bo54bo5bo6bo7b2o190b2obobo6b
o5b2o54b2o7b3o48bo4bo4bo54bo5bo6bo7b2o190b2obobo6bo5b2o54b2o7b3o48bo4b
o4bo54bo5bo6bo7b2o190b2obobo6bo5b2o54b2o7b3o48bo4bo4bo54bo5bo6bo7b2o
190b2obobo6bo5b2o54b2o7b3o48bo4bo4bo54bo5bo6bo7b2o195b2obobo6bo5b2o54b
2o7b3o48bo4bo4bo54bo5bo6bo7b2o$756b2o3bobo119b2o3bobo88b2o3bobo93b2o3b
obo80b2obob2o4b3o4bobo80b2obob2o4b3o4bobo80b2obob2o4b3o4bobo80b2obob2o
4b3o4bobo65b2o64b2obob2o4b3o4bobo99b2obob2o4b3o4bobo129b2obob2o4b3o4bo
bo54bo74b2obob2o4b3o4bobo54bo89b2obob2o4b3o4bobo54bo85b2obob2o4b3o4bob
o44b2o8bo126b2obob2o4b3o4bobo54bo74b2obob2o4b3o4bobo54bo109b2obob2o4b
3o4bobo54bo6bo3b2o197b2obob2o4b3o4bobo54bo6bo3b2o289b2obob2o4b3o4bobo
54bo6bo3b2o289b2obob2o4b3o4bobo54bo6bo3b2o240b2obob2o4b3o4bobo54bo6bo
3b2o257b2obob2o4b3o4bobo54bo6bo3b2o118b2o189b2obob2o4b3o4bobo54bo6bo3b
2o132bo191b2obob2o4b3o4bobo54bo6bo3b2o132bo191b2obob2o4b3o4bobo54bo6bo
3b2o111bo6bo4bobo6bo191b2obob2o4b3o4bobo54bo6bo3b2o111bo6bo4bobo6bo
191b2obob2o4b3o4bobo54bo6bo3b2o111bo6bo4bobo6bo191b2obob2o4b3o4bobo54b
o6bo3b2o111bo6bo4bobo6bo191b2obob2o4b3o4bobo54bo6bo3b2o111bo6bo4bobo6b
o191b2obob2o4b3o4bobo54bo6bo3b2o111bo6bo4bobo6bo176b2obob2o4b3o4bobo
54bo6bo3b2o53b2o56bo6bo4bobo6bo184b2obob2o4b3o4bobo54bo6bo3b2o53b2o18b
3o35bo6bo4bobo6bo191b2obob2o4b3o4bobo54bo6bo3b2o49bob2o2bo55bo6bo4bobo
6bo191b2obob2o4b3o4bobo54bo6bo3b2o49bob2o2bo55bo6bo4bobo6bo191b2obob2o
4b3o4bobo54bo6bo3b2o36bo12bob2o2bo55bo6bo4bobo6bo191b2obob2o4b3o4bobo
54bo6bo3b2o36bo12bob2o2bo55bo6bo4bobo6bo191b2obob2o4b3o4bobo54bo6bo3b
2o36bo12bob2o2bo55bo6bo4bobo6bo191b2obob2o4b3o4bobo54bo6bo3b2o36bo12bo
b2o2bo55bo6bo4bobo6bo191b2obob2o4b3o4bobo54bo6bo3b2o36bo12bob2o2bo55bo
6bo4bobo6bo196b2obob2o4b3o4bobo54bo6bo3b2o36bo12bob2o2bo55bo6bo4bobo6b
o$763bo126bo95bo100bo79b3ob3o5b3o6bo79b3ob3o5b3o6bo79b3ob3o5b3o6bo79b
3ob3o5b3o6bo130b3ob3o5b3o6bo7bo90b3ob3o5b3o6bo7bo120b3ob3o5b3o6bo7bo
43b3o74b3ob3o5b3o6bo7bo43b3o89b3ob3o5b3o6bo7bo43b3o85b3ob3o5b3o6bo7bo
36b3o4b3o126b3ob3o5b3o6bo7bo43b3o14b2o58b3ob3o5b3o6bo7bo43b3o14b2o93b
3ob3o5b3o6bo7bo43b3o7bo5bobo193b3ob3o5b3o6bo7bo43b3o7bo5bobo285b3ob3o
5b3o6bo7bo43b3o7bo5bobo285b3ob3o5b3o6bo7bo43b3o7bo5bobo236b3ob3o5b3o6b
o7bo43b3o7bo5bobo253b3ob3o5b3o6bo7bo43b3o7bo5bobo116b2o187b3ob3o5b3o6b
o7bo43b3o7bo5bobo122b2o3bobo190b3ob3o5b3o6bo7bo43b3o7bo5bobo122b2o3bob
o190b3ob3o5b3o6bo7bo43b3o7bo5bobo112bo2bo11bobo190b3ob3o5b3o6bo7bo43b
3o7bo5bobo112bo2bo11bobo190b3ob3o5b3o6bo7bo43b3o7bo5bobo112bo2bo11bobo
190b3ob3o5b3o6bo7bo43b3o7bo5bobo112bo2bo11bobo190b3ob3o5b3o6bo7bo43b3o
7bo5bobo112bo2bo11bobo190b3ob3o5b3o6bo7bo43b3o7bo5bobo112bo2bo11bobo
175b3ob3o5b3o6bo7bo43b3o7bo5bobo50b2o60bo2bo11bobo183b3ob3o5b3o6bo7bo
43b3o7bo5bobo50b2o60bo2bo11bobo190b3ob3o5b3o6bo7bo43b3o7bo5bobo42bo6b
2o61bo2bo11bobo190b3ob3o5b3o6bo7bo43b3o7bo5bobo10b3o29bo6b2o61bo2bo11b
obo190b3ob3o5b3o6bo7bo43b3o7bo5bobo33b3o6bo6b2o61bo2bo11bobo190b3ob3o
5b3o6bo7bo43b3o7bo5bobo33b3o6bo6b2o61bo2bo11bobo190b3ob3o5b3o6bo7bo43b
3o7bo5bobo33b3o6bo6b2o61bo2bo11bobo190b3ob3o5b3o6bo7bo43b3o7bo5bobo33b
3o6bo6b2o61bo2bo11bobo190b3ob3o5b3o6bo7bo43b3o7bo5bobo33b3o6bo6b2o61bo
2bo11bobo195b3ob3o5b3o6bo7bo43b3o7bo5bobo33b3o6bo6b2o61bo2bo11bobo$
763b2o125b2o94b2o99b2o79bob3o15b2o79bob3o15b2o79bob3o15b2o79bob3o15b2o
130bob3o15b2o7bo90bob3o15b2o7bo120bob3o15b2o7bo42bo77bob3o15b2o7bo42bo
92bob3o15b2o7bo42bo88bob3o15b2o7bo34bob2o4bo129bob3o15b2o7bo42bo16b2o
59bob3o15b2o7bo42bo16b2o94bob3o15b2o7bo42bo4bo5bo2b3obo194bob3o15b2o7b
o42bo4bo5bo2b3obo286bob3o15b2o7bo42bo4bo5bo2b3obo286bob3o15b2o7bo42bo
4bo5bo2b3obo237bob3o15b2o7bo42bo4bo5bo2b3obo254bob3o15b2o7bo42bo4bo5bo
2b3obo108bo197bob3o15b2o7bo42bo4bo5bo2b3obo122b2o3b2o192bob3o15b2o7bo
42bo4bo5bo2b3obo122b2o3b2o192bob3o15b2o7bo42bo4bo5bo2b3obo114bobo3bo2b
o3b2o192bob3o15b2o7bo42bo4bo5bo2b3obo114bobo3bo2bo3b2o192bob3o15b2o7bo
42bo4bo5bo2b3obo114bobo3bo2bo3b2o192bob3o15b2o7bo42bo4bo5bo2b3obo114bo
bo3bo2bo3b2o192bob3o15b2o7bo42bo4bo5bo2b3obo103bo10bobo3bo2bo3b2o192bo
b3o15b2o7bo42bo4bo5bo2b3obo103bo10bobo3bo2bo3b2o177bob3o15b2o7bo42bo4b
o5bo2b3obo103bo10bobo3bo2bo3b2o185bob3o15b2o7bo42bo4bo5bo2b3obo103bo
10bobo3bo2bo3b2o192bob3o15b2o7bo42bo4bo5bo2b3obo43bo4bo54bo10bobo3bo2b
o3b2o192bob3o15b2o7bo42bo4bo5bo2b3obo10bo2bo29bo4bo54bo10bobo3bo2bo3b
2o192bob3o15b2o7bo42bo4bo5bo2b3obo36bo6bo4bo54bo10bobo3bo2bo3b2o192bob
3o15b2o7bo42bo4bo5bo2b3obo36bo6bo4bo54bo10bobo3bo2bo3b2o192bob3o15b2o
7bo42bo4bo5bo2b3obo36bo6bo4bo54bo10bobo3bo2bo3b2o192bob3o15b2o7bo42bo
4bo5bo2b3obo36bo6bo4bo54bo10bobo3bo2bo3b2o192bob3o15b2o7bo42bo4bo5bo2b
3obo36bo6bo4bo54bo10bobo3bo2bo3b2o197bob3o15b2o7bo42bo4bo5bo2b3obo36bo
6bo4bo54bo10bobo3bo2bo3b2o$1169b3o98b3o29b2o67b3o98b3o149b3o23b3o91b3o
23b3o121b3o23b3o121b3o23b3o136b3o23b3o132b3o23b3o34b3o32bo103b3o23b3o
121b3o23b3o156b3o23b3o46bo6b2obo4bo194b3o23b3o46bo6b2obo4bo286b3o23b3o
46bo6b2obo4bo286b3o23b3o46bo6b2obo4bo237b3o23b3o46bo6b2obo4bo254b3o23b
3o46bo6b2obo4bo107bobo196b3o23b3o46bo6b2obo4bo321b3o23b3o46bo6b2obo4bo
321b3o23b3o46bo6b2obo4bo108b2ob2o2bobo3b2o198b3o23b3o46bo6b2obo4bo108b
2ob2o2bobo3b2o198b3o23b3o46bo6b2obo4bo108b2ob2o2bobo3b2o198b3o23b3o46b
o6b2obo4bo108b2ob2o2bobo3b2o198b3o23b3o46bo6b2obo4bo100b2o6b2ob2o2bobo
3b2o198b3o23b3o46bo6b2obo4bo100b2o6b2ob2o2bobo3b2o183b3o23b3o46bo6b2ob
o4bo100b2o6b2ob2o2bobo3b2o191b3o23b3o46bo6b2obo4bo100b2o6b2ob2o2bobo3b
2o198b3o23b3o46bo6b2obo4bo47bo52b2o6b2ob2o2bobo3b2o198b3o23b3o46bo6b2o
bo4bo9bo37bo52b2o6b2ob2o2bobo3b2o198b3o23b3o46bo6b2obo4bo34b2o11bo52b
2o6b2ob2o2bobo3b2o198b3o23b3o46bo6b2obo4bo34b2o11bo52b2o6b2ob2o2bobo3b
2o198b3o23b3o46bo6b2obo4bo34b2o11bo52b2o6b2ob2o2bobo3b2o198b3o23b3o46b
o6b2obo4bo34b2o11bo52b2o6b2ob2o2bobo3b2o198b3o23b3o46bo6b2obo4bo34b2o
11bo52b2o6b2ob2o2bobo3b2o203b3o23b3o46bo6b2obo4bo34b2o11bo52b2o6b2ob2o
2bobo3b2o$1301b2o548bo582bo32bo514b3o6b2o3bo270b3o6b2o3bo362b3o6b2o3bo
362b3o6b2o3bo313b3o6b2o3bo330b3o6b2o3bo104bo3b2o272b3o6b2o3bo397b3o6b
2o3bo397b3o6b2o3bo111b2o3bobo2b2ob2o271b3o6b2o3bo111b2o3bobo2b2ob2o
271b3o6b2o3bo111b2o3bobo2b2ob2o271b3o6b2o3bo111b2o3bobo2b2ob2o271b3o6b
2o3bo102b2o7b2o3bobo2b2ob2o271b3o6b2o3bo102b2o7b2o3bobo2b2ob2o256b3o6b
2o3bo102b2o7b2o3bobo2b2ob2o264b3o6b2o3bo102b2o7b2o3bobo2b2ob2o271b3o6b
2o3bo44b2o56b2o7b2o3bobo2b2ob2o271b3o6b2o3bo10bo33b2o56b2o7b2o3bobo2b
2ob2o271b3o6b2o3bo44b2o56b2o7b2o3bobo2b2ob2o271b3o6b2o3bo44b2o56b2o7b
2o3bobo2b2ob2o271b3o6b2o3bo44b2o56b2o7b2o3bobo2b2ob2o271b3o6b2o3bo44b
2o56b2o7b2o3bobo2b2ob2o271b3o6b2o3bo44b2o56b2o7b2o3bobo2b2ob2o276b3o6b
2o3bo41bo2b2o56b2o7b2o3bobo2b2ob2o$1303bo546b2o615b3o526bo284bo376bo
376bo327bo344bo105b2o289bo106b2o3b2o298bo106b2o3b2o298bo106b2o3bo2bo3b
obo290bo106b2o3bo2bo3bobo290bo106b2o3bo2bo3bobo290bo106b2o3bo2bo3bobo
290bo106b2o3bo2bo3bobo290bo106b2o3bo2bo3bobo275bo50b2o54b2o3bo2bo3bobo
283bo50b2o54b2o3bo2bo3bobo290bo50b2o54b2o3bo2bo3bobo290bo11bobo36b2o
54b2o3bo2bo3bobo290bo50b2o54b2o3bo2bo3bobo290bo50b2o54b2o3bo2bo3bobo
290bo50b2o54b2o3bo2bo3bobo290bo50b2o54b2o3bo2bo3bobo290bo50b2o54b2o3bo
2bo3bobo295bo39b4o7b2o54b2o3bo2bo3bobo$1094bo755bobo924bobo212b2o283b
2o375b2o375b2o326b2o343b2o107b2o286b2o108bobo3b2o294b2o108bobo3b2o294b
2o108bobo11bo2bo284b2o108bobo11bo2bo284b2o108bobo11bo2bo284b2o40bo67bo
bo11bo2bo284b2o108bobo11bo2bo284b2o108bobo11bo2bo269b2o53bo54bobo11bo
2bo277b2o53bo54bobo11bo2bo284b2o53bo54bobo11bo2bo284b2o53bo54bobo11bo
2bo284b2o53bo54bobo11bo2bo284b2o53bo54bobo11bo2bo284b2o53bo54bobo11bo
2bo284b2o53bo54bobo11bo2bo284b2o53bo54bobo11bo2bo289b2o41b4obo6bo54bob
o11bo2bo$1094bobo560bo119bo149bo149bo164bo160bo201bo149bo24bo159bo284b
o376bo376bo327bo344bo396bo161bo249bo161bo249bo161bo6bobo4bo6bo228bo
161bo6bobo4bo6bo228bo161bo6bobo4bo6bo228bo91bobo67bo6bobo4bo6bo228bo
161bo6bobo4bo6bo228bo161bo6bobo4bo6bo213bo107b3o51bo6bobo4bo6bo221bo
107b3o51bo6bobo4bo6bo228bo107b3o51bo6bobo4bo6bo228bo107b3o51bo6bobo4bo
6bo228bo91b2o14b3o51bo6bobo4bo6bo228bo91b2o14b3o51bo6bobo4bo6bo228bo
91b2o14b3o51bo6bobo4bo6bo228bo91b2o14b3o51bo6bobo4bo6bo228bo91b2o14b3o
51bo6bobo4bo6bo233bo93bo4b2o7b3o51bo6bobo4bo6bo$1094b2o559bobo117bobo
27bo119bobo147bobo31b3o128bobo158bobo199bobo147bobo24bo157bobo36bo16b
2o227bobo36bo16b2o319bobo36bo16b2o319bobo36bo16b2o270bobo36bo16b2o287b
obo36bo16b2o339bobo36bo16b2o105b2o247bobo36bo16b2o105b2o247bobo36bo16b
2o105b2o7bo6bo5bo226bobo36bo16b2o105b2o7bo6bo5bo226bobo36bo16b2o105b2o
7bo6bo5bo226bobo36bo16b2o37b2o66b2o7bo6bo5bo226bobo36bo16b2o97bobo5b2o
7bo6bo5bo226bobo36bo16b2o97bobo5b2o7bo6bo5bo211bobo36bo16b2o54bo42bobo
5b2o7bo6bo5bo219bobo36bo16b2o54bo42bobo5b2o7bo6bo5bo226bobo36bo16b2o
54bo42bobo5b2o7bo6bo5bo226bobo36bo16b2o54bo42bobo5b2o7bo6bo5bo226bobo
36bo16b2o36b2o16bo42bobo5b2o7bo6bo5bo226bobo36bo16b2o36b2o16bo42bobo5b
2o7bo6bo5bo226bobo36bo16b2o36b2o16bo42bobo5b2o7bo6bo5bo226bobo36bo16b
2o36b2o16bo42bobo5b2o7bo6bo5bo226bobo36bo16b2o36b2o16bo42bobo5b2o7bo6b
o5bo231bobo36bo16b2o35b2obob5o9bo42bobo5b2o7bo6bo5bo$851b2o803b2o118b
2o26b2o120b2o148b2o31bo131b2o159b2o200b2o148b2o21bo2bo158b2o36bobo11bo
232b2o36bobo11bo324b2o36bobo11bo324b2o36bobo11bo275b2o36bobo11bo292b2o
36bobo11bo344b2o36bobo11bo359b2o36bobo11bo359b2o36bobo11bo126bo2bo229b
2o36bobo11bo126bo2bo229b2o36bobo11bo126bo2bo229b2o36bobo11bo126bo2bo
229b2o36bobo11bo101b2o23bo2bo229b2o36bobo11bo101b2o23bo2bo214b2o36bobo
11bo101b2o23bo2bo222b2o36bobo11bo101b2o23bo2bo229b2o36bobo11bo101b2o
23bo2bo229b2o36bobo11bo101b2o23bo2bo229b2o36bobo11bo101b2o23bo2bo229b
2o36bobo11bo101b2o23bo2bo229b2o36bobo11bo101b2o23bo2bo229b2o36bobo11bo
101b2o23bo2bo229b2o36bobo11bo101b2o23bo2bo234b2o36bobo11bo39b3o4b2o4bo
bo46b2o23bo2bo$852b2o662bo287bobo303bo667b3o196b2o12bo3b2o265b2o12bo3b
2o357b2o12bo3b2o357b2o12bo3b2o308b2o12bo3b2o325b2o12bo3b2o377b2o12bo3b
2o392b2o12bo3b2o392b2o12bo3b2o123bo268b2o12bo3b2o123bo268b2o12bo3b2o
123bo268b2o12bo3b2o43bobo77bo268b2o12bo3b2o97bo25bo268b2o12bo3b2o97bo
25bo253b2o12bo3b2o97bo25bo261b2o12bo3b2o97bo25bo268b2o12bo3b2o97bo25bo
268b2o12bo3b2o97bo25bo268b2o12bo3b2o97bo25bo268b2o12bo3b2o97bo25bo268b
2o12bo3b2o97bo25bo268b2o12bo3b2o97bo25bo268b2o12bo3b2o12b3o82bo25bo
273b2o12bo3b2o34b2o3b3o6b2o47bo25bo$851bo663b2o1473bo4bob2o276bo4bob2o
368bo4bob2o368bo4bob2o319bo4bob2o336bo4bob2o388bo4bob2o403bo4bob2o403b
o4bob2o403bo4bob2o403bo4bob2o403bo4bob2o42b2o39b3o317bo4bob2o403bo4bob
2o388bo4bob2o396bo4bob2o403bo4bob2o403bo4bob2o403bo4bob2o403bo4bob2o
403bo4bob2o403bo4bob2o403bo4bob2o10bo2bo394bo4bob2o36bobo7bo$1103bo
411bobo144bo119bo47bo7bo93bo149bo164bo160bo201bo45b2o102bo45b2o137bo
45bob3o2bo231bo45bob3o2bo323bo45bob3o2bo323bo45bob3o2bo274bo45bob3o2bo
291bo45bob3o2bo343bo45bob3o2bo358bo45bob3o2bo95bo262bo45bob3o2bo358bo
45bob3o2bo358bo45bob3o2bo358bo45bob3o2bo42bo42bo272bo45bob3o2bo358bo
45bob3o2bo343bo45bob3o2bo351bo45bob3o2bo358bo45bob3o2bo358bo45bob3o2bo
358bo45bob3o2bo358bo45bob3o2bo358bo45bob3o2bo358bo45bob3o2bo358bo45bob
3o2bo10bo47bobo302bo45bob3o2bo$1101b2o560bo119bo45b2o6b2o94bo149bo164b
o160bo201bo44b2o103bo44b2o138bo25bo18bobo5bo231bo25bo18bobo5bo323bo25b
o18bobo5bo323bo25bo18bobo5bo274bo25bo18bobo5bo291bo25bo18bobo5bo343bo
25bo18bobo5bo358bo25bo18bobo5bo95b2o261bo25bo18bobo5bo358bo25bo18bobo
5bo358bo25bo18bobo5bo358bo25bo18bobo5bo83bo274bo25bo18bobo5bo89bo268bo
25bo18bobo5bo89bo253bo25bo18bobo5bo89bo261bo25bo18bobo5bo55bo33bo268bo
25bo18bobo5bo89bo268bo25bo18bobo5bo89bo268bo25bo18bobo5bo89bo268bo25bo
18bobo5bo89bo268bo25bo18bobo5bo89bo268bo25bo18bobo5bo89bo268bo25bo18bo
bo5bo9bo50bo28bo273bo25bo18bobo5bo34b2o53bo$1065b4o33b2o419b2o136b3o
117b3o45bobo5bobo91b3o147b3o162b3o158b3o199b3o147b3o182b3o24bo22b2o3bo
229b3o24bo22b2o3bo321b3o24bo22b2o3bo321b3o24bo22b2o3bo272b3o24bo22b2o
3bo289b3o24bo22b2o3bo341b3o24bo22b2o3bo356b3o24bo22b2o3bo94b2o260b3o
24bo22b2o3bo356b3o24bo22b2o3bo83b2o271b3o24bo22b2o3bo356b3o24bo22b2o3b
o75bo280b3o24bo22b2o3bo87b2o267b3o24bo22b2o3bo87b2o252b3o24bo22b2o3bo
87b2o260b3o24bo22b2o3bo55b2o30b2o267b3o24bo22b2o3bo87b2o267b3o24bo22b
2o3bo87b2o267b3o24bo22b2o3bo87b2o267b3o24bo22b2o3bo87b2o267b3o24bo22b
2o3bo87b2o267b3o24bo22b2o3bo87b2o267b3o24bo22b2o3bo10bobo47bo26b2o272b
3o24bo22b2o3bo50bo36b2o$1064bo3bo454bobo329bo248bo866b3o22b3o257b3o22b
3o349b3o22b3o349b3o22b3o300b3o22b3o317b3o22b3o369b3o22b3o384b3o22b3o
384b3o22b3o384b3o22b3o83bobo298b3o22b3o384b3o22b3o76b2o306b3o22b3o89b
2o293b3o22b3o89b2o278b3o22b3o89b2o286b3o22b3o55bobo31b2o293b3o22b3o89b
2o293b3o22b3o89b2o293b3o22b3o89b2o293b3o22b3o89b2o293b3o22b3o89b2o293b
3o22b3o89b2o293b3o22b3o58bo2bo27b2o298b3o22b3o33bobo16b2o35b2o$1068bo
454bo330b2o247b2o1303bobo3018bo813bobo4491b3o387b3o3b2o11b2o$1064bo2bo
786bobo246bobo550b2o148b2o183b2o283b2o130b2o243b2o375b2o326b2o343b2o
395b2o410b2o410b2o410b2o410b2o410b2o410b2o410b2o395b2o403b2o410b2o410b
2o410b2o410b2o410b2o410b2o410b2o415b2o37b2o4b3o$1077b2o589bo119bo149bo
149bo164bo160bo201bo40bo108bo40bo184bo284bo131bo244bo376bo327bo344bo
396bo411bo94bo316bo411bo411bo411bo411bo411bo396bo404bo411bo411bo411bo
43b2o366bo43b2o366bo43b2o366bo43b2o366bo43b2o371bo36b5obob2o$1076b4o
586bobo117bobo147bobo147bobo162bobo158bobo199bobo37b3o107bobo37b3o148b
o10bo22b3o248bo10bo22b3o84bobo253bo10bo22b3o340bo10bo22b3o291bo10bo22b
3o308bo10bo22b3o360bo10bo22b3o375bo10bo22b3o96bo33b2o243bo10bo22b3o
375bo10bo22b3o375bo10bo22b3o375bo10bo22b3o375bo10bo22b3o90bobo282bo10b
o22b3o90bobo267bo10bo22b3o90bobo275bo10bo22b3o90bobo282bo10bo22b3o90bo
bo282bo10bo22b3o90bobo282bo10bo22b3o44b2o44bobo282bo10bo22b3o44b2o44bo
bo282bo10bo22b3o44b2o44bobo282bo10bo22b3o44b2o44bobo282bo10bo22b3o44b
2o44bobo287bo10bo22b3o37b2o4bo46bobo$1076b2ob2o586b2o118b2o148b2o148b
2o163b2o159b2o200b2o37bo110b2o37bo144b2o3bobo9bobo20bo244b2o3bobo9bobo
20bo87b2o247b2o3bobo9bobo20bo336b2o3bobo9bobo20bo287b2o3bobo9bobo20bo
304b2o3bobo9bobo20bo356b2o3bobo9bobo20bo371b2o3bobo9bobo20bo96b3o32b4o
236b2o3bobo9bobo20bo371b2o3bobo9bobo20bo371b2o3bobo9bobo20bo371b2o3bob
o9bobo20bo371b2o3bobo9bobo20bo92b2o277b2o3bobo9bobo20bo92b2o262b2o3bob
o9bobo20bo92b2o270b2o3bobo9bobo20bo92b2o277b2o3bobo9bobo20bo92b2o277b
2o3bobo9bobo20bo92b2o277b2o3bobo9bobo20bo92b2o277b2o3bobo9bobo20bo92b
2o277b2o3bobo9bobo20bo92b2o277b2o3bobo9bobo20bo92b2o277b2o3bobo9bobo
20bo92b2o282b2o3bobo9bobo20bo39bob4o20bobo24b2o$1078b2o1407bo463bo2bo
11b2o268bo2bo11b2o109bo250bo2bo11b2o360bo2bo11b2o311bo2bo11b2o328bo2bo
11b2o380bo2bo11b2o395bo2bo11b2o152b2ob2o238bo2bo11b2o395bo2bo11b2o395b
o2bo11b2o395bo2bo11b2o395bo2bo11b2o115bo279bo2bo11b2o56bo58bo264bo2bo
11b2o115bo272bo2bo11b2o93b2o20bo279bo2bo11b2o115bo279bo2bo11b2o115bo
279bo2bo11b2o115bo279bo2bo11b2o115bo279bo2bo11b2o115bo279bo2bo11b2o
115bo279bo2bo11b2o115bo284bo2bo11b2o62b4o22b2o25bo$2486b2o460bo2bo4b2o
275bo2bo4b2o367bo2bo4b2o367bo2bo4b2o318bo2bo4b2o335bo2bo4b2o387bo2bo4b
2o402bo2bo4b2o163b2o237bo2bo4b2o402bo2bo4b2o402bo2bo4b2o402bo2bo4b2o
402bo2bo4b2o402bo2bo4b2o66b2o319bo2bo4b2o395bo2bo4b2o102bobo297bo2bo4b
2o402bo2bo4b2o402bo2bo4b2o402bo2bo4b2o402bo2bo4b2o402bo2bo4b2o402bo2bo
4b2o407bo2bo4b2o73bo24bo$1673bo119bo149bo149bo164bo160bo66bobo132bo
149bo176bobo3bobo276bobo3bobo368bobo3bobo368bobo3bobo319bobo3bobo336bo
bo3bobo191b2o195bobo3bobo403bobo3bobo403bobo3bobo403bobo3bobo403bobo3b
obo403bobo3bobo403bobo3bobo403bobo3bobo66bobo319bobo3bobo396bobo3bobo
105bo297bobo3bobo403bobo3bobo403bobo3bobo79b2o322bobo3bobo79b2o322bobo
3bobo79b2o322bobo3bobo79b2o322bobo3bobo79b2o327bobo3bobo79b2o$1674bo
119bo149bo149bo164bo160bo201bo149bo180bo8b2o274bo8b2o366bo8b2o366bo8b
2o317bo8b2o334bo8b2o183b2o201bo8b2o401bo8b2o146bo2bo251bo8b2o401bo8b2o
401bo8b2o401bo8b2o401bo8b2o114bo286bo8b2o114bo271bo8b2o114bo279bo8b2o
114bo286bo8b2o114bo286bo8b2o114bo286bo8b2o72bo41bo286bo8b2o72bo41bo
286bo8b2o72bo41bo286bo8b2o72bo41bo286bo8b2o72bo27b2o12bo291bo8b2o72bo
41bo$1672b3o117b3o147b3o147b3o162b3o158b3o20bo178b3o147b3o180bo8bobo
273bo8bobo365bo8bobo365bo8bobo316bo8bobo333bo8bobo184bo200bo8bobo400bo
8bobo144bo255bo8bobo400bo8bobo400bo8bobo400bo8bobo400bo8bobo111b2o287b
o8bobo111b2o272bo8bobo111b2o280bo8bobo111b2o287bo8bobo111b2o287bo8bobo
111b2o287bo8bobo72b3o36b2o287bo8bobo72b3o36b2o287bo8bobo72b3o36b2o287b
o8bobo72b3o36b2o287bo8bobo72b3o24b3o9b2o292bo8bobo72b3o21bo14b2o$2440b
2o515b2o283b2o375b2o375b2o326b2o343b2o395b2o410b2o150bo3bo255b2o410b2o
410b2o410b2o410b2o118b2o290b2o118b2o275b2o118b2o283b2o118b2o290b2o118b
2o290b2o118b2o290b2o80bo37b2o290b2o80bo37b2o290b2o80bo37b2o290b2o80bo
37b2o290b2o80bo23bob2o10b2o295b2o80bo22b2o13b2o$535bo1904bobo510b2o2b
3o278b2o2b3o145bobo222b2o2b3o370b2o2b3o321b2o2b3o338b2o2b3o390b2o2b3o
405b2o2b3o149b4o252b2o2b3o405b2o2b3o405b2o2b3o405b2o2b3o405b2o2b3o405b
2o2b3o390b2o2b3o398b2o2b3o405b2o2b3o405b2o2b3o405b2o2b3o405b2o2b3o405b
2o2b3o405b2o2b3o405b2o2b3o103b3o304b2o2b3o101b2o$534bo70bo79bo79bo126b
o95bo100bo100bo100bo100bo100bo151bo25bo93bo25bo123bo25bo123bo25bo138bo
25bo134bo25bo175bo25bo123bo25bo158bo24b2o3b2obo251bo24b2o3b2obo143b2o
198bo24b2o3b2obo343bo24b2o3b2obo294bo24b2o3b2obo311bo24b2o3b2obo363bo
24b2o3b2obo378bo24b2o3b2obo378bo24b2o3b2obo378bo24b2o3b2obo378bo24b2o
3b2obo378bo24b2o3b2obo378bo24b2o3b2obo378bo24b2o3b2obo363bo24b2o3b2obo
371bo24b2o3b2obo378bo24b2o3b2obo378bo24b2o3b2obo378bo24b2o3b2obo378bo
24b2o3b2obo378bo24b2o3b2obo378bo24b2o3b2obo378bo24b2o3b2obo102bo280bo
24b2o3b2obo$534b3o67bo2bo76bo2bo76bo2bo123bo2bo92bo2bo97bo2bo97bo2bo
97bo2bo97bo2bo97bo2bo148bo2bo23b2o91bo2bo23b2o121bo2bo23b2o121bo2bo23b
2o136bo2bo23b2o132bo2bo23b2o47bo7bo117bo2bo23b2o121bo2bo23b2o156bo2bo
23b2obob2o251bo2bo23b2obob2o145bo197bo2bo23b2obob2o343bo2bo23b2obob2o
294bo2bo23b2obob2o311bo2bo23b2obob2o363bo2bo23b2obob2o378bo2bo23b2obob
2o378bo2bo23b2obob2o378bo2bo23b2obob2o378bo2bo23b2obob2o378bo2bo23b2ob
ob2o378bo2bo23b2obob2o378bo2bo23b2obob2o363bo2bo23b2obob2o371bo2bo23b
2obob2o378bo2bo23b2obob2o378bo2bo23b2obob2o378bo2bo23b2obob2o378bo2bo
23b2obob2o378bo2bo23b2obob2o378bo2bo23b2obob2o378bo2bo23b2obob2o383bo
2bo23b2obob2o$223b2o78b2o78b2o78b2o78b2o57bo5bo6bo7b2o57bo5bo6bo7b2o
57bo5bo6bo7b2o104bo5bo6bo7b2o73bo5bo6bo7b2o78bo5bo6bo7b2o78bo5bo6bo7b
2o78bo5bo6bo7b2o78bo5bo6bo7b2o78bo5bo6bo7b2o129bo5bo6bo7b2o5bobo89bo5b
o6bo7b2o5bobo119bo5bo6bo7b2o5bobo119bo5bo6bo7b2o5bobo134bo5bo6bo7b2o5b
obo130bo5bo6bo7b2o5bobo46b2o6b2o115bo5bo6bo7b2o5bobo119bo5bo6bo7b2o5bo
bo154bo5bo6bo7b2o7bo3b2o3bo245bo5bo6bo7b2o7bo3b2o3bo93bobo241bo5bo6bo
7b2o7bo3b2o3bo337bo5bo6bo7b2o7bo3b2o3bo288bo5bo6bo7b2o7bo3b2o3bo305bo
5bo6bo7b2o7bo3b2o3bo357bo5bo6bo7b2o7bo3b2o3bo372bo5bo6bo7b2o7bo3b2o3bo
372bo5bo6bo7b2o7bo3b2o3bo372bo5bo6bo7b2o7bo3b2o3bo372bo5bo6bo7b2o7bo3b
2o3bo372bo5bo6bo7b2o7bo3b2o3bo372bo5bo6bo7b2o7bo3b2o3bo106bobo263bo5bo
6bo7b2o7bo3b2o3bo106bobo248bo5bo6bo7b2o7bo3b2o3bo106bobo256bo5bo6bo7b
2o7bo3b2o3bo106bobo263bo5bo6bo7b2o7bo3b2o3bo106bobo263bo5bo6bo7b2o7bo
3b2o3bo106bobo263bo5bo6bo7b2o7bo3b2o3bo106bobo263bo5bo6bo7b2o7bo3b2o3b
o106bobo263bo5bo6bo7b2o7bo3b2o3bo106bobo263bo5bo6bo7b2o7bo3b2o3bo106bo
bo263bo5bo6bo7b2o7bo3b2o3bo106bobo268bo5bo6bo7b2o7bo3b2o3bo$223bo79bo
59bo19bo79bo64bo14bo58bo6bo4bobo6bo58bo6bo4bobo6bo58bo6bo4bobo6bo105bo
6bo4bobo6bo74bo6bo4bobo6bo79bo6bo4bobo6bo79bo6bo4bobo6bo79bo6bo4bobo6b
o79bo6bo4bobo6bo79bo6bo4bobo6bo130bo6bo4bobo6bo98bo6bo4bobo6bo128bo6bo
4bobo6bo128bo6bo4bobo6bo143bo6bo4bobo6bo139bo6bo4bobo6bo55bobo5bobo
114bo6bo4bobo6bo128bo6bo4bobo6bo163bo6bo4bobo6bo15bob2o244bo6bo4bobo6b
o15bob2o93b2o34bo206bo6bo4bobo6bo15bob2o336bo6bo4bobo6bo15bob2o287bo6b
o4bobo6bo15bob2o304bo6bo4bobo6bo15bob2o356bo6bo4bobo6bo15bob2o371bo6bo
4bobo6bo15bob2o371bo6bo4bobo6bo15bob2o371bo6bo4bobo6bo15bob2o371bo6bo
4bobo6bo15bob2o371bo6bo4bobo6bo15bob2o371bo6bo4bobo6bo15bob2o105b2o
264bo6bo4bobo6bo15bob2o105b2o249bo6bo4bobo6bo15bob2o105b2o257bo6bo4bob
o6bo15bob2o105b2o264bo6bo4bobo6bo15bob2o105b2o264bo6bo4bobo6bo15bob2o
105b2o264bo6bo4bobo6bo15bob2o105b2o264bo6bo4bobo6bo15bob2o105b2o264bo
6bo4bobo6bo15bob2o105b2o264bo6bo4bobo6bo15bob2o105b2o264bo6bo4bobo6bo
15bob2o105b2o269bo6bo4bobo6bo15bob2o99b2ob2o$143b2o76bobo72b2o3bobo60b
o11b2o3bobo72b2o3bobo62b2o8b2o3bobo62bo2bo11bobo62bo2bo11bobo62bo2bo
11bobo109bo2bo11bobo78bo2bo11bobo83bo2bo11bobo83bo2bo11bobo83bo2bo11bo
bo83bo2bo11bobo83bo2bo11bobo134bo2bo11bobo102bo2bo11bobo132bo2bo11bobo
132bo2bo11bobo147bo2bo11bobo143bo2bo11bobo81bo102bo2bo11bobo132bo2bo
11bobo167bo2bo11bobo12bo4bo249bo2bo11bobo12bo4bo94bo36bo209bo2bo11bobo
12bo4bo341bo2bo11bobo12bo4bo292bo2bo11bobo12bo4bo309bo2bo11bobo12bo4bo
361bo2bo11bobo12bo4bo376bo2bo11bobo12bo4bo376bo2bo11bobo12bo4bo376bo2b
o11bobo12bo4bo376bo2bo11bobo12bo4bo376bo2bo11bobo12bo4bo376bo2bo11bobo
12bo4bo107bo268bo2bo11bobo12bo4bo107bo253bo2bo11bobo12bo4bo107bo261bo
2bo11bobo12bo4bo107bo268bo2bo11bobo12bo4bo107bo268bo2bo11bobo12bo4bo
107bo268bo2bo11bobo12bo4bo107bo268bo2bo11bobo12bo4bo107bo268bo2bo11bob
o12bo4bo107bo268bo2bo11bobo12bo4bo107bo268bo2bo11bobo12bo4bo107bo273bo
2bo11bobo12bo4bo100bo2bo8bo$4bo137b2o71b3o3b2o73b2o3b2o59b3o11b2o3b2o
73b2o3b2o64b2o7b2o3b2o65bobo3bo2bo3b2o65bobo3bo2bo3b2o65bobo3bo2bo3b2o
112bobo3bo2bo3b2o81bobo3bo2bo3b2o86bobo3bo2bo3b2o86bobo3bo2bo3b2o86bob
o3bo2bo3b2o86bobo3bo2bo3b2o86bobo3bo2bo3b2o137bobo3bo2bo3b2o105bobo3bo
2bo3b2o135bobo3bo2bo3b2o135bobo3bo2bo3b2o150bobo3bo2bo3b2o146bobo3bo2b
o3b2o81b2o104bobo3bo2bo3b2o135bobo3bo2bo3b2o170bobo3bo2bo3b2o9b2ob2ob
3o252bobo3bo2bo3b2o9b2ob2ob3o130b3o211bobo3bo2bo3b2o9b2ob2ob3o344bobo
3bo2bo3b2o9b2ob2ob3o295bobo3bo2bo3b2o9b2ob2ob3o312bobo3bo2bo3b2o9b2ob
2ob3o364bobo3bo2bo3b2o9b2ob2ob3o379bobo3bo2bo3b2o9b2ob2ob3o379bobo3bo
2bo3b2o9b2ob2ob3o379bobo3bo2bo3b2o9b2ob2ob3o379bobo3bo2bo3b2o9b2ob2ob
3o379bobo3bo2bo3b2o9b2ob2ob3o379bobo3bo2bo3b2o9b2ob2ob3o379bobo3bo2bo
3b2o9b2ob2ob3o364bobo3bo2bo3b2o9b2ob2ob3o372bobo3bo2bo3b2o9b2ob2ob3o
379bobo3bo2bo3b2o9b2ob2ob3o379bobo3bo2bo3b2o9b2ob2ob3o379bobo3bo2bo3b
2o9b2ob2ob3o379bobo3bo2bo3b2o9b2ob2ob3o379bobo3bo2bo3b2o9b2ob2ob3o379b
obo3bo2bo3b2o9b2ob2ob3o379bobo3bo2bo3b2o9b2ob2ob3o384bobo3bo2bo3b2o9b
2ob2ob3o100bo2bo7b2o$4bobo132b2o3bo72bo148bo236b2ob2o2bobo3b2o65b2ob2o
2bobo3b2o65b2ob2o2bobo3b2o112b2ob2o2bobo3b2o81b2ob2o2bobo3b2o86b2ob2o
2bobo3b2o86b2ob2o2bobo3b2o86b2ob2o2bobo3b2o86b2ob2o2bobo3b2o86b2ob2o2b
obo3b2o137b2ob2o2bobo3b2o7b2o96b2ob2o2bobo3b2o7b2o126b2ob2o2bobo3b2o7b
2o126b2ob2o2bobo3b2o7b2o141b2ob2o2bobo3b2o7b2o137b2ob2o2bobo3b2o7b2o
77bobo98b2ob2o2bobo3b2o7b2o126b2ob2o2bobo3b2o7b2o161b2ob2o2bobo3b2o7b
2o5b2o254b2ob2o2bobo3b2o7b2o5b2o156bobo187b2ob2o2bobo3b2o7b2o5b2o346b
2ob2o2bobo3b2o7b2o5b2o132bobo162b2ob2o2bobo3b2o7b2o5b2o314b2ob2o2bobo
3b2o7b2o5b2o366b2ob2o2bobo3b2o7b2o5b2o381b2ob2o2bobo3b2o7b2o5b2o381b2o
b2o2bobo3b2o7b2o5b2o381b2ob2o2bobo3b2o7b2o5b2o381b2ob2o2bobo3b2o7b2o5b
2o381b2ob2o2bobo3b2o7b2o5b2o381b2ob2o2bobo3b2o7b2o5b2o116b2o263b2ob2o
2bobo3b2o7b2o5b2o54bo7bo53b2o248b2ob2o2bobo3b2o7b2o5b2o116b2o256b2ob2o
2bobo3b2o7b2o5b2o116b2o263b2ob2o2bobo3b2o7b2o5b2o116b2o263b2ob2o2bobo
3b2o7b2o5b2o116b2o263b2ob2o2bobo3b2o7b2o5b2o116b2o263b2ob2o2bobo3b2o7b
2o5b2o116b2o263b2ob2o2bobo3b2o7b2o5b2o116b2o263b2ob2o2bobo3b2o7b2o5b2o
116b2o263b2ob2o2bobo3b2o7b2o5b2o116b2o268b2ob2o2bobo3b2o7b2o5b2o108bob
o8b2o$o3b2o132bobo75bo148bo239b2o3bobo2b2ob2o65b2o3bobo2b2ob2o65b2o3bo
bo2b2ob2o112b2o3bobo2b2ob2o81b2o3bobo2b2ob2o86b2o3bobo2b2ob2o86b2o3bob
o2b2ob2o86b2o3bobo2b2ob2o86b2o3bobo2b2ob2o86b2o3bobo2b2ob2o137b2o3bobo
2b2ob2o6b2o97b2o3bobo2b2ob2o6b2o127b2o3bobo2b2ob2o6b2o127b2o3bobo2b2ob
2o6b2o142b2o3bobo2b2ob2o6b2o138b2o3bobo2b2ob2o6b2o179b2o3bobo2b2ob2o6b
2o127b2o3bobo2b2ob2o6b2o162b2o3bobo2b2ob2o6b2o5bo256b2o3bobo2b2ob2o6b
2o5bo156b2o190b2o3bobo2b2ob2o6b2o5bo348b2o3bobo2b2ob2o6b2o5bo133b2o
164b2o3bobo2b2ob2o6b2o5bo316b2o3bobo2b2ob2o6b2o5bo368b2o3bobo2b2ob2o6b
2o5bo383b2o3bobo2b2ob2o6b2o5bo383b2o3bobo2b2ob2o6b2o5bo383b2o3bobo2b2o
b2o6b2o5bo383b2o3bobo2b2ob2o6b2o5bo383b2o3bobo2b2ob2o6b2o5bo383b2o3bob
o2b2ob2o6b2o5bo116bobo264b2o3bobo2b2ob2o6b2o5bo54b2o6b2o52bobo249b2o3b
obo2b2ob2o6b2o5bo116bobo257b2o3bobo2b2ob2o6b2o5bo116bobo264b2o3bobo2b
2ob2o6b2o5bo116bobo264b2o3bobo2b2ob2o6b2o5bo116bobo264b2o3bobo2b2ob2o
6b2o5bo116bobo264b2o3bobo2b2ob2o6b2o5bo116bobo264b2o3bobo2b2ob2o6b2o5b
o116bobo264b2o3bobo2b2ob2o6b2o5bo116bobo264b2o3bobo2b2ob2o6b2o5bo116bo
bo269b2o3bobo2b2ob2o6b2o5bo107b2o$b2o58b2o57b2o18bo59b2o16b3o59b2o78b
2o3b3o72b2o3b2o73b2o3b2o7b2o64b2o3bo2bo3bobo65b2o3bo2bo3bobo65b2o3bo2b
o3bobo112b2o3bo2bo3bobo81b2o3bo2bo3bobo86b2o3bo2bo3bobo86b2o3bo2bo3bob
o86b2o3bo2bo3bobo86b2o3bo2bo3bobo86b2o3bo2bo3bobo137b2o3bo2bo3bobo10bo
94b2o3bo2bo3bobo10bo124b2o3bo2bo3bobo10bo124b2o3bo2bo3bobo10bo139b2o3b
o2bo3bobo10bo135b2o3bo2bo3bobo10bo176b2o3bo2bo3bobo10bo124b2o3bo2bo3bo
bo10bo159b2o3bo2bo3bobo10bo259b2o3bo2bo3bobo10bo165bo185b2o3bo2bo3bobo
10bo132b2o217b2o3bo2bo3bobo10bo132b2o7bo160b2o3bo2bo3bobo10bo132b2o7bo
6bo4bo165b2o3bo2bo3bobo10bo132b2o7bo6bo4bo217b2o3bo2bo3bobo10bo132b2o
7bo6bo4bo232b2o3bo2bo3bobo10bo132b2o7bo6bo4bo232b2o3bo2bo3bobo10bo132b
2o7bo6bo4bo232b2o3bo2bo3bobo10bo132b2o7bo6bo4bo232b2o3bo2bo3bobo10bo
132b2o7bo6bo4bo232b2o3bo2bo3bobo10bo132b2o7bo6bo4bo232b2o3bo2bo3bobo
10bo124bo7b2o7bo6bo4bo232b2o3bo2bo3bobo10bo61bobo5bobo52bo7b2o7bo6bo4b
o217b2o3bo2bo3bobo10bo124bo7b2o7bo6bo4bo225b2o3bo2bo3bobo10bo124bo7b2o
7bo6bo4bo232b2o3bo2bo3bobo10bo124bo7b2o7bo6bo4bo232b2o3bo2bo3bobo10bo
124bo7b2o7bo6bo4bo232b2o3bo2bo3bobo10bo124bo7b2o7bo6bo4bo232b2o3bo2bo
3bobo10bo124bo7b2o7bo6bo4bo232b2o3bo2bo3bobo10bo124bo7b2o7bo6bo4bo232b
2o3bo2bo3bobo10bo124bo7b2o7bo6bo4bo232b2o3bo2bo3bobo10bo124bo7b2o7bo6b
o4bo237b2o3bo2bo3bobo10bo114b3o2b3o10b2o7bo6bo4bo$2o58bobo56bobo77bobo
16bo60bobo77bobo77bobo3b2o72bobo3b2o8b2o62bobo11bo2bo62bobo11bo2bo62bo
bo11bo2bo109bobo11bo2bo78bobo11bo2bo83bobo11bo2bo83bobo11bo2bo83bobo
11bo2bo83bobo11bo2bo83bobo11bo2bo134bobo11bo2bo102bobo11bo2bo132bobo
11bo2bo132bobo11bo2bo147bobo11bo2bo143bobo11bo2bo184bobo11bo2bo132bobo
11bo2bo41b2o124bobo11bo2bo267bobo11bo2bo359bobo11bo2bo142bo216bobo11bo
2bo142bo15bo151bobo11bo2bo142bo7bo5b2o169bobo11bo2bo142bo7bo5b2o221bob
o11bo2bo142bo7bo5b2o236bobo11bo2bo142bo7bo5b2o236bobo11bo2bo142bo7bo5b
2o236bobo11bo2bo142bo7bo5b2o236bobo11bo2bo142bo7bo5b2o236bobo11bo2bo
142bo7bo5b2o236bobo11bo2bo142bo7bo5b2o236bobo11bo2bo142bo7bo5b2o221bob
o11bo2bo142bo7bo5b2o229bobo11bo2bo142bo7bo5b2o236bobo11bo2bo142bo7bo5b
2o236bobo11bo2bo142bo7bo5b2o236bobo11bo2bo142bo7bo5b2o236bobo11bo2bo
142bo7bo5b2o236bobo11bo2bo142bo7bo5b2o236bobo11bo2bo142bo7bo5b2o236bob
o11bo2bo112b2o28bo7bo5b2o241bobo11bo2bo124bo3bo13bo7bo5b2o$60bo58bo79b
o19bo59bo79bo79bo79bo14bo64bo6bobo4bo6bo58bo6bobo4bo6bo58bo6bobo4bo6bo
105bo6bobo4bo6bo74bo6bobo4bo6bo79bo6bobo4bo6bo79bo6bobo4bo6bo79bo6bobo
4bo6bo79bo6bobo4bo6bo79bo6bobo4bo6bo130bo6bobo4bo6bo98bo6bobo4bo6bo
128bo6bobo4bo6bo128bo6bobo4bo6bo143bo6bobo4bo6bo139bo6bobo4bo6bo180bo
6bobo4bo6bo128bo6bobo4bo6bo36b2o125bo6bobo4bo6bo263bo6bobo4bo6bo137b2o
216bo6bobo4bo6bo138bobo3b2o209bo6bobo4bo6bo138bobo3b2o9bo150bo6bobo4bo
6bo138bobo5bo4b3o169bo6bobo4bo6bo138bobo5bo4b3o221bo6bobo4bo6bo138bobo
5bo4b3o236bo6bobo4bo6bo138bobo5bo4b3o236bo6bobo4bo6bo138bobo5bo4b3o
236bo6bobo4bo6bo138bobo5bo4b3o236bo6bobo4bo6bo138bobo5bo4b3o236bo6bobo
4bo6bo138bobo5bo4b3o236bo6bobo4bo6bo138bobo5bo4b3o236bo6bobo4bo6bo92bo
45bobo5bo4b3o221bo6bobo4bo6bo138bobo5bo4b3o229bo6bobo4bo6bo138bobo5bo
4b3o236bo6bobo4bo6bo138bobo5bo4b3o236bo6bobo4bo6bo138bobo5bo4b3o236bo
6bobo4bo6bo138bobo5bo4b3o236bo6bobo4bo6bo138bobo5bo4b3o236bo6bobo4bo6b
o138bobo5bo4b3o236bo6bobo4bo6bo138bobo5bo4b3o236bo6bobo4bo6bo107bobo
28bobo5bo4b3o241bo6bobo4bo6bo120bo17bobo5bo4b3o$59b2o57b2o78b2o78b2o
78b2o78b2o78b2o78b2o7bo6bo5bo57b2o7bo6bo5bo57b2o7bo6bo5bo104b2o7bo6bo
5bo73b2o7bo6bo5bo78b2o7bo6bo5bo78b2o7bo6bo5bo78b2o7bo6bo5bo78b2o7bo6bo
5bo78b2o7bo6bo5bo129b2o7bo6bo5bo97b2o7bo6bo5bo127b2o7bo6bo5bo127b2o7bo
6bo5bo142b2o7bo6bo5bo138b2o7bo6bo5bo179b2o7bo6bo5bo127b2o7bo6bo5bo38bo
123b2o7bo6bo5bo262b2o7bo6bo5bo138b2o214b2o7bo6bo5bo139b2o3b2o208b2o7bo
6bo5bo139b2o3b2o7b3o149b2o7bo6bo5bo139b2o3b2o4b2obob2o165b2o7bo6bo5bo
139b2o3b2o4b2obob2o217b2o7bo6bo5bo139b2o3b2o4b2obob2o232b2o7bo6bo5bo
139b2o3b2o4b2obob2o232b2o7bo6bo5bo139b2o3b2o4b2obob2o232b2o7bo6bo5bo
139b2o3b2o4b2obob2o232b2o7bo6bo5bo139b2o3b2o4b2obob2o232b2o7bo6bo5bo
139b2o3b2o4b2obob2o232b2o7bo6bo5bo139b2o3b2o4b2obob2o232b2o7bo6bo5bo
92b2o45b2o3b2o4b2obob2o217b2o7bo6bo5bo139b2o3b2o4b2obob2o225b2o7bo6bo
5bo139b2o3b2o4b2obob2o232b2o7bo6bo5bo139b2o3b2o4b2obob2o232b2o7bo6bo5b
o139b2o3b2o4b2obob2o232b2o7bo6bo5bo139b2o3b2o4b2obob2o232b2o7bo6bo5bo
139b2o3b2o4b2obob2o232b2o7bo6bo5bo139b2o3b2o4b2obob2o232b2o7bo6bo5bo
139b2o3b2o4b2obob2o232b2o7bo6bo5bo109bo29b2o3b2o4b2obob2o237b2o7bo6bo
5bo120bo18b2o3b2o4b2obob2o$526b3o86bo2bo76bo2bo76bo2bo123bo2bo92bo2bo
97bo2bo97bo2bo97bo2bo97bo2bo97bo2bo148bo2bo3b3o110bo2bo3b3o140bo2bo3b
3o140bo2bo3b3o155bo2bo3b3o151bo2bo3b3o192bo2bo3b3o140bo2bo3b3o175bo2bo
3b3o275bo2bo3b3o133bo3b2o228bo2bo3b3o367bo2bo3b3o318bo2bo3b3o144bo2bo
2b2obo181bo2bo3b3o144bo2bo2b2obo233bo2bo3b3o144bo2bo2b2obo248bo2bo3b3o
144bo2bo2b2obo248bo2bo3b3o144bo2bo2b2obo248bo2bo3b3o144bo2bo2b2obo248b
o2bo3b3o144bo2bo2b2obo248bo2bo3b3o144bo2bo2b2obo248bo2bo3b3o130b3o11bo
2bo2b2obo248bo2bo3b3o87bobo40b3o11bo2bo2b2obo233bo2bo3b3o130b3o11bo2bo
2b2obo241bo2bo3b3o130b3o11bo2bo2b2obo248bo2bo3b3o130b3o11bo2bo2b2obo
248bo2bo3b3o130b3o11bo2bo2b2obo248bo2bo3b3o130b3o11bo2bo2b2obo248bo2bo
3b3o130b3o11bo2bo2b2obo248bo2bo3b3o130b3o11bo2bo2b2obo248bo2bo3b3o130b
3o11bo2bo2b2obo248bo2bo3b3o130b3o11bo2bo2b2obo253bo2bo3b3o115bo14b3o
11bo2bo2b2obo$241b2o78b2o78b2o78b2o45bo32b2o54bo23b2o54bo23b2o54bo23b
2o101bo23b2o70bo23b2o75bo23b2o75bo23b2o75bo23b2o75bo23b2o75bo23b2o126b
o3bob3o15b2o94bo3bob3o15b2o124bo3bob3o15b2o124bo3bob3o15b2o139bo3bob3o
15b2o135bo3bob3o15b2o176bo3bob3o15b2o124bo3bob3o15b2o159bo3bob3o15b2o
259bo3bob3o15b2o119bobo229bo3bob3o15b2o351bo3bob3o15b2o302bo3bob3o15b
2o121bob2o2bo2bo188bo3bob3o15b2o121bob2o2bo2bo240bo3bob3o15b2o121bob2o
2bo2bo255bo3bob3o15b2o121bob2o2bo2bo255bo3bob3o15b2o121bob2o2bo2bo255b
o3bob3o15b2o121bob2o2bo2bo255bo3bob3o15b2o121bob2o2bo2bo255bo3bob3o15b
2o121bob2o2bo2bo255bo3bob3o15b2o112bo8bob2o2bo2bo255bo3bob3o15b2o112bo
8bob2o2bo2bo240bo3bob3o15b2o112bo8bob2o2bo2bo248bo3bob3o15b2o112bo8bob
2o2bo2bo255bo3bob3o15b2o112bo8bob2o2bo2bo255bo3bob3o15b2o112bo8bob2o2b
o2bo255bo3bob3o15b2o112bo8bob2o2bo2bo255bo3bob3o15b2o112bo8bob2o2bo2bo
255bo3bob3o15b2o112bo8bob2o2bo2bo255bo3bob3o15b2o112bo8bob2o2bo2bo255b
o3bob3o15b2o112bo8bob2o2bo2bo260bo3bob3o15b2o112bo8bob2o2bo2bo$241bo
79bo59bo19bo79bo45bo33bo79bo79bo79bo126bo95bo100bo100bo100bo100bo100bo
130b3ob3o5b3o6bo98b3ob3o5b3o6bo128b3ob3o5b3o6bo128b3ob3o5b3o6bo143b3ob
3o5b3o6bo139b3ob3o5b3o6bo180b3ob3o5b3o6bo128b3ob3o5b3o6bo163b3ob3o5b3o
6bo263b3ob3o5b3o6bo112bo7bo234b3ob3o5b3o6bo134b2o3b2o214b3ob3o5b3o6bo
124b3o7b2o3b2o165b3ob3o5b3o6bo123b2obob2o4b2o3b2o182b3ob3o5b3o6bo123b
2obob2o4b2o3b2o234b3ob3o5b3o6bo123b2obob2o4b2o3b2o249b3ob3o5b3o6bo123b
2obob2o4b2o3b2o249b3ob3o5b3o6bo123b2obob2o4b2o3b2o249b3ob3o5b3o6bo123b
2obob2o4b2o3b2o249b3ob3o5b3o6bo123b2obob2o4b2o3b2o249b3ob3o5b3o6bo123b
2obob2o4b2o3b2o249b3ob3o5b3o6bo114bo8b2obob2o4b2o3b2o249b3ob3o5b3o6bo
114bo8b2obob2o4b2o3b2o234b3ob3o5b3o6bo114bo8b2obob2o4b2o3b2o242b3ob3o
5b3o6bo114bo8b2obob2o4b2o3b2o249b3ob3o5b3o6bo114bo8b2obob2o4b2o3b2o
249b3ob3o5b3o6bo114bo8b2obob2o4b2o3b2o249b3ob3o5b3o6bo114bo8b2obob2o4b
2o3b2o249b3ob3o5b3o6bo114bo8b2obob2o4b2o3b2o249b3ob3o5b3o6bo114bo8b2ob
ob2o4b2o3b2o249b3ob3o5b3o6bo114bo8b2obob2o4b2o3b2o249b3ob3o5b3o6bo114b
o8b2obob2o4b2o3b2o254b3ob3o5b3o6bo114bo8b2obob2o4b2o3b2o$161b2o76bobo
72b2o3bobo60bo11b2o3bobo72b2o3bobo72b2o3bobo72b2o3bobo72b2o3bobo72b2o
3bobo119b2o3bobo88b2o3bobo93b2o3bobo93b2o3bobo93b2o3bobo93b2o3bobo93b
2o3bobo131b2obob2o4b3o4bobo99b2obob2o4b3o4bobo129b2obob2o4b3o4bobo129b
2obob2o4b3o4bobo144b2obob2o4b3o4bobo140b2obob2o4b3o4bobo181b2obob2o4b
3o4bobo129b2obob2o4b3o4bobo164b2obob2o4b3o4bobo264b2obob2o4b3o4bobo
113bo242b2obob2o4b3o4bobo134b2o3bobo214b2obob2o4b3o4bobo124bo9b2o3bobo
165b2obob2o4b3o4bobo126b3o4bo5bobo182b2obob2o4b3o4bobo126b3o4bo5bobo
234b2obob2o4b3o4bobo126b3o4bo5bobo249b2obob2o4b3o4bobo126b3o4bo5bobo
249b2obob2o4b3o4bobo126b3o4bo5bobo249b2obob2o4b3o4bobo126b3o4bo5bobo
249b2obob2o4b3o4bobo126b3o4bo5bobo249b2obob2o4b3o4bobo126b3o4bo5bobo
249b2obob2o4b3o4bobo126b3o4bo5bobo249b2obob2o4b3o4bobo126b3o4bo5bobo
234b2obob2o4b3o4bobo126b3o4bo5bobo242b2obob2o4b3o4bobo126b3o4bo5bobo
249b2obob2o4b3o4bobo126b3o4bo5bobo249b2obob2o4b3o4bobo126b3o4bo5bobo
249b2obob2o4b3o4bobo126b3o4bo5bobo249b2obob2o4b3o4bobo126b3o4bo5bobo
249b2obob2o4b3o4bobo126b3o4bo5bobo249b2obob2o4b3o4bobo126b3o4bo5bobo
249b2obob2o4b3o4bobo126b3o4bo5bobo254b2obob2o4b3o4bobo126b3o4bo5bobo$
22bo137b2o71b3o3b2o73b2o3b2o59b3o11b2o3b2o73b2o3b2o73b2o3b2o73b2o3b2o
73b2o3b2o73b2o3b2o120b2o3b2o89b2o3b2o94b2o3b2o94b2o3b2o94b2o3b2o94b2o
3b2o94b2o3b2o132b2obobo6bo5b2o100b2obobo6bo5b2o130b2obobo6bo5b2o130b2o
bobo6bo5b2o145b2obobo6bo5b2o141b2obobo6bo5b2o182b2obobo6bo5b2o130b2obo
bo6bo5b2o165b2obobo6bo5b2o265b2obobo6bo5b2o112b3o242b2obobo6bo5b2o142b
o214b2obobo6bo5b2o126bo15bo165b2obobo6bo5b2o127b2o5bo7bo182b2obobo6bo
5b2o127b2o5bo7bo234b2obobo6bo5b2o127b2o5bo7bo249b2obobo6bo5b2o127b2o5b
o7bo249b2obobo6bo5b2o127b2o5bo7bo249b2obobo6bo5b2o127b2o5bo7bo249b2obo
bo6bo5b2o127b2o5bo7bo249b2obobo6bo5b2o127b2o5bo7bo249b2obobo6bo5b2o
127b2o5bo7bo249b2obobo6bo5b2o127b2o5bo7bo234b2obobo6bo5b2o127b2o5bo7bo
242b2obobo6bo5b2o127b2o5bo7bo249b2obobo6bo5b2o127b2o5bo7bo249b2obobo6b
o5b2o127b2o5bo7bo249b2obobo6bo5b2o127b2o5bo7bo249b2obobo6bo5b2o127b2o
5bo7bo249b2obobo6bo5b2o127b2o5bo7bo249b2obobo6bo5b2o127b2o5bo7bo249b2o
bobo6bo5b2o127b2o5bo7bo254b2obobo6bo5b2o127b2o5bo7bo$22bobo132b2o3bo
72bo148bo1277bo4bobo4b2o106bo4bobo4b2o136bo4bobo4b2o136bo4bobo4b2o151b
o4bobo4b2o147bo4bobo4b2o188bo4bobo4b2o136bo4bobo4b2o15b3o153bo4bobo4b
2o15b2o254bo4bobo4b2o15b2o119bobo224bo4bobo4b2o15b2o130b2o214bo4bobo4b
2o15b2o122bo7b2o165bo4bobo4b2o15b2o110bo4bo6bo7b2o182bo4bobo4b2o15b2o
110bo4bo6bo7b2o234bo4bobo4b2o15b2o110bo4bo6bo7b2o249bo4bobo4b2o15b2o
110bo4bo6bo7b2o249bo4bobo4b2o15b2o110bo4bo6bo7b2o249bo4bobo4b2o15b2o
110bo4bo6bo7b2o249bo4bobo4b2o15b2o110bo4bo6bo7b2o249bo4bobo4b2o15b2o
110bo4bo6bo7b2o249bo4bobo4b2o15b2o106bobobo4bo6bo7b2o249bo4bobo4b2o15b
2o106bobobo4bo6bo7b2o234bo4bobo4b2o15b2o106bobobo4bo6bo7b2o242bo4bobo
4b2o15b2o106bobobo4bo6bo7b2o249bo4bobo4b2o15b2o106bobobo4bo6bo7b2o249b
o4bobo4b2o15b2o106bobobo4bo6bo7b2o249bo4bobo4b2o15b2o106bobobo4bo6bo7b
2o249bo4bobo4b2o15b2o106bobobo4bo6bo7b2o249bo4bobo4b2o15b2o106bobobo4b
o6bo7b2o249bo4bobo4b2o15b2o106bobobo4bo6bo7b2o249bo4bobo4b2o15b2o82b2o
22bobobo4bo6bo7b2o254bo4bobo4b2o123bobobo4bo6bo7b2o$18bo3b2o132bobo75b
o148bo1279b2o4bobo4bo106b2o4bobo4bo136b2o4bobo4bo136b2o4bobo4bo151b2o
4bobo4bo147b2o4bobo4bo188b2o4bobo4bo136b2o4bobo4bo14bo156b2o4bobo4bo
15bo255b2o4bobo4bo15bo119b2o226b2o4bobo4bo15bo347b2o4bobo4bo15bo121b2o
175b2o4bobo4bo15bo315b2o4bobo4bo15bo367b2o4bobo4bo15bo382b2o4bobo4bo
15bo382b2o4bobo4bo15bo382b2o4bobo4bo15bo382b2o4bobo4bo15bo382b2o4bobo
4bo15bo382b2o4bobo4bo15bo104bo2b2o273b2o4bobo4bo15bo104bo2b2o258b2o4bo
bo4bo15bo104bo2b2o266b2o4bobo4bo15bo104bo2b2o273b2o4bobo4bo15bo104bo2b
2o273b2o4bobo4bo15bo104bo2b2o273b2o4bobo4bo15bo104bo2b2o273b2o4bobo4bo
15bo104bo2b2o273b2o4bobo4bo15bo104bo2b2o273b2o4bobo4bo15bo104bo2b2o
273b2o4bobo4bo15bo83b2o19bo2b2o278b2o4bobo4bo120bo2b2o$19b2o58b2o57b2o
18bo59b2o16b3o59b2o78b2o3b3o72b2o3b2o73b2o3b2o73b2o3b2o73b2o3b2o73b2o
3b2o120b2o3b2o89b2o3b2o94b2o3b2o94b2o3b2o94b2o3b2o94b2o3b2o94b2o3b2o
145b2o5bo6bobob2o100b2o5bo6bobob2o130b2o5bo6bobob2o130b2o5bo6bobob2o
145b2o5bo6bobob2o141b2o5bo6bobob2o182b2o5bo6bobob2o130b2o5bo6bobob2o
14bo150b2o5bo6bobob2o14bobo248b2o5bo6bobob2o14bobo118bo221b2o5bo6bobob
2o14bobo85b2o253b2o5bo6bobob2o14bobo85b2o32bobo169b2o5bo6bobob2o14bobo
85b2o221b2o5bo6bobob2o14bobo85b2o273b2o5bo6bobob2o14bobo85b2o288b2o5bo
6bobob2o14bobo85b2o288b2o5bo6bobob2o14bobo85b2o288b2o5bo6bobob2o14bobo
85b2o288b2o5bo6bobob2o14bobo85b2o288b2o5bo6bobob2o14bobo85b2o288b2o5bo
6bobob2o14bobo85b2o7bo6bo5bo267b2o5bo6bobob2o14bobo85b2o7bo6bo5bo252b
2o5bo6bobob2o14bobo85b2o7bo6bo5bo260b2o5bo6bobob2o14bobo85b2o7bo6bo5bo
267b2o5bo6bobob2o14bobo85b2o7bo6bo5bo267b2o5bo6bobob2o14bobo85b2o7bo6b
o5bo267b2o5bo6bobob2o14bobo85b2o7bo6bo5bo267b2o5bo6bobob2o14bobo85b2o
7bo6bo5bo267b2o5bo6bobob2o14bobo85b2o7bo6bo5bo267b2o5bo6bobob2o14bobo
85b2o7bo6bo5bo267b2o5bo6bobob2o14bobo80bo4b2o7bo6bo5bo272b2o5bo6bobob
2o102b2o7bo6bo5bo$18b2o58bobo56bobo77bobo16bo60bobo77bobo77bobo3b2o72b
obo3b2o72bobo3b2o72bobo3b2o72bobo3b2o119bobo3b2o88bobo3b2o93bobo3b2o
93bobo3b2o93bobo3b2o93bobo3b2o93bobo3b2o144bobo4b3o4b2obob2o99bobo4b3o
4b2obob2o129bobo4b3o4b2obob2o129bobo4b3o4b2obob2o144bobo4b3o4b2obob2o
140bobo4b3o4b2obob2o181bobo4b3o4b2obob2o129bobo4b3o4b2obob2o164bobo4b
3o4b2obob2o15b2o247bobo4b3o4b2obob2o15b2o339bobo4b3o4b2obob2o15b2o86bo
252bobo4b3o4b2obob2o15b2o86bo203bobo4b3o4b2obob2o15b2o86bo220bobo4b3o
4b2obob2o15b2o86bo272bobo4b3o4b2obob2o15b2o86bo287bobo4b3o4b2obob2o15b
2o86bo287bobo4b3o4b2obob2o15b2o86bo287bobo4b3o4b2obob2o15b2o86bo287bob
o4b3o4b2obob2o15b2o86bo287bobo4b3o4b2obob2o15b2o86bo287bobo4b3o4b2obob
2o15b2o86bo6bobo4bo6bo266bobo4b3o4b2obob2o15b2o86bo6bobo4bo6bo251bobo
4b3o4b2obob2o15b2o86bo6bobo4bo6bo259bobo4b3o4b2obob2o15b2o86bo6bobo4bo
6bo266bobo4b3o4b2obob2o15b2o86bo6bobo4bo6bo266bobo4b3o4b2obob2o15b2o
86bo6bobo4bo6bo266bobo4b3o4b2obob2o15b2o86bo6bobo4bo6bo266bobo4b3o4b2o
bob2o15b2o86bo6bobo4bo6bo266bobo4b3o4b2obob2o15b2o86bo6bobo4bo6bo266bo
bo4b3o4b2obob2o15b2o86bo6bobo4bo6bo266bobo4b3o4b2obob2o15b2o86bo6bobo
4bo6bo271bobo4b3o4b2obob2o103bo6bobo4bo6bo$78bo58bo79bo19bo59bo79bo79b
o79bo79bo79bo79bo126bo95bo100bo100bo100bo100bo100bo151bo6b3o5b3ob3o98b
o6b3o5b3ob3o128bo6b3o5b3ob3o128bo6b3o5b3ob3o143bo6b3o5b3ob3o139bo6b3o
5b3ob3o180bo6b3o5b3ob3o128bo6b3o5b3ob3o163bo6b3o5b3ob3o263bo6b3o5b3ob
3o101b2o252bo6b3o5b3ob3o102bobo3b2o245bo6b3o5b3ob3o102bobo3b2o196bo6b
3o5b3ob3o102bobo3b2o213bo6b3o5b3ob3o102bobo3b2o265bo6b3o5b3ob3o102bobo
3b2o280bo6b3o5b3ob3o102bobo3b2o280bo6b3o5b3ob3o102bobo3b2o280bo6b3o5b
3ob3o102bobo3b2o280bo6b3o5b3ob3o102bobo3b2o280bo6b3o5b3ob3o102bobo3b2o
280bo6b3o5b3ob3o102bobo11bo2bo270bo6b3o5b3ob3o102bobo11bo2bo255bo6b3o
5b3ob3o102bobo11bo2bo263bo6b3o5b3ob3o102bobo11bo2bo270bo6b3o5b3ob3o
102bobo11bo2bo270bo6b3o5b3ob3o102bobo11bo2bo270bo6b3o5b3ob3o102bobo11b
o2bo270bo6b3o5b3ob3o102bobo11bo2bo270bo6b3o5b3ob3o102bobo11bo2bo270bo
6b3o5b3ob3o102bobo11bo2bo270bo6b3o5b3ob3o102bobo11bo2bo275bo6b3o5b3ob
3o102bobo11bo2bo$77b2o57b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o
125b2o94b2o99b2o99b2o99b2o99b2o99b2o150b2o15b3obo98b2o15b3obo128b2o15b
3obo128b2o15b3obo143b2o15b3obo139b2o15b3obo180b2o15b3obo128b2o15b3obo
163b2o15b3obo263b2o15b3obo103b2o250b2o15b3obo104b2o3b2o244b2o15b3obo
104b2o3b2o195b2o15b3obo104b2o3b2o212b2o15b3obo104b2o3b2o264b2o15b3obo
104b2o3b2o279b2o15b3obo104b2o3b2o279b2o15b3obo104b2o3b2o279b2o15b3obo
104b2o3b2o279b2o15b3obo104b2o3b2o279b2o15b3obo104b2o3b2o279b2o15b3obo
104b2o3bo2bo3bobo271b2o15b3obo104b2o3bo2bo3bobo256b2o15b3obo104b2o3bo
2bo3bobo264b2o15b3obo104b2o3bo2bo3bobo271b2o15b3obo104b2o3bo2bo3bobo
271b2o15b3obo104b2o3bo2bo3bobo271b2o15b3obo104b2o3bo2bo3bobo271b2o15b
3obo104b2o3bo2bo3bobo271b2o15b3obo104b2o3bo2bo3bobo271b2o15b3obo104b2o
3bo2bo3bobo271b2o15b3obo104b2o3bo2bo3bobo276b2o15b3obo104b2o3bo2bo3bob
o$1674b3o117b3o147b3o147b3o162b3o158b3o199b3o147b3o182b3o282b3o103bo3b
2o265b3o374b3o325b3o342b3o394b3o409b3o409b3o409b3o409b3o409b3o409b3o
110b2o3bobo2b2ob2o284b3o110b2o3bobo2b2ob2o269b3o110b2o3bobo2b2ob2o277b
3o110b2o3bobo2b2ob2o284b3o110b2o3bobo2b2ob2o284b3o49b2o59b2o3bobo2b2ob
2o284b3o110b2o3bobo2b2ob2o284b3o110b2o3bobo2b2ob2o284b3o110b2o3bobo2b
2ob2o284b3o110b2o3bobo2b2ob2o284b3o110b2o3bobo2b2ob2o289b3o24bo85b2o3b
obo2b2ob2o$3352bobo4294b2ob2o2bobo3b2o397b2ob2o2bobo3b2o382b2ob2o2bobo
3b2o390b2ob2o2bobo3b2o397b2ob2o2bobo3b2o339b2o56b2ob2o2bobo3b2o397b2ob
2o2bobo3b2o397b2ob2o2bobo3b2o397b2ob2o2bobo3b2o397b2ob2o2bobo3b2o397b
2ob2o2bobo3b2o316bobo83b2ob2o2bobo3b2o$3352bo390b2o3b2o370b2o3b2o321b
2o3b2o338b2o3b2o390b2o3b2o405b2o3b2o405b2o3b2o405b2o3b2o405b2o3b2o405b
2o3b2o397bobo3bo2bo3b2o397bobo3bo2bo3b2o382bobo3bo2bo3b2o390bobo3bo2bo
3b2o397bobo3bo2bo3b2o333bo63bobo3bo2bo3b2o397bobo3bo2bo3b2o397bobo3bo
2bo3b2o397bobo3bo2bo3b2o397bobo3bo2bo3b2o397bobo3bo2bo3b2o312b2o88bobo
3bo2bo3b2o$3743b2o3bobo369b2o3bobo320b2o3bobo337b2o3bobo389b2o3bobo
404b2o3bobo404b2o3bobo404b2o3bobo404b2o3bobo404b2o3bobo394bo2bo11bobo
394bo2bo11bobo379bo2bo11bobo387bo2bo11bobo394bo2bo11bobo394bo2bo11bobo
394bo2bo11bobo394bo2bo11bobo394bo2bo11bobo394bo2bo11bobo394bo2bo11bobo
399bo2bo11bobo$3750bo376bo327bo344bo396bo411bo411bo411bo411bo411bo390b
o6bo4bobo6bo390bo6bo4bobo6bo375bo6bo4bobo6bo383bo6bo4bobo6bo390bo6bo4b
obo6bo390bo6bo4bobo6bo390bo6bo4bobo6bo390bo6bo4bobo6bo390bo6bo4bobo6bo
390bo6bo4bobo6bo390bo6bo4bobo6bo395bo6bo4bobo6bo$3750b2o375b2o326b2o
343b2o395b2o410b2o410b2o410b2o410b2o410b2o389bo5bo6bo7b2o389bo5bo6bo7b
2o374bo5bo6bo7b2o382bo5bo6bo7b2o389bo5bo6bo7b2o389bo5bo6bo7b2o389bo5bo
6bo7b2o389bo5bo6bo7b2o389bo5bo6bo7b2o389bo5bo6bo7b2o389bo5bo6bo7b2o
394bo5bo6bo7b2o$7650bo2bo408bo2bo393bo2bo401bo2bo408bo2bo408bo2bo408bo
2bo408bo2bo408bo2bo408bo2bo408bo2bo413bo2bo$7651bo411bo396bo404bo411bo
411bo411bo411bo411bo411bo411bo416bo5$2773b2o9359bobo$2774b2o9358b2o$
2773bo35b2o9324bo$2809bobo$2809bo6773b2o$9584b2o$9583bo$3405b2o$3405bo
bo6221b2o1270b4o$3405bo6224b2o1269bo3bo$3339b2o6288bo1271bo$3338bobo
7561bo2bo$3340bo6255b2o$9597b2o$9596bo$9579b2o1270b4o$9580b2o1268bo3bo
$9579bo1274bo$3387b2o7461bo2bo$3387bobo$3387bo$3321b2o$3320bobo7488bo
2bo147bo2bo$3322bo7492bo145bo$10472b2o5b2o330bo3bo68b2o5b2o68bo3bo$
10472b2o5b2o331b4o32b3o33b2o5b2o68b4o$10850bo1267bo$10849bo446b2o5b2o
403b2o5b2o402bo5b2o5b2o$1476b2o5802bo3189b2o9b2o399b2o9b2o401b2o5b2o
403b2o5b2o400b3o5b2o5b2o$1475bobo5801b2o2783b3o402bo2bo7bo2bo397bo2bo
7bo2bo$1477bo5801bobo2782bo405b2o9b2o399b2o9b2o$10065bo8b2o$1468b2o
5817b2o2764b3o17b2o1222bo5bo405bo5bo410bo5bo$1469b2o5816bobo2765bo19bo
1220b2o5b2o403b2o5b2o408b2o5b2o$1468bo5818bo2766bo3b2o405b3o17b3o389b
3o17b3o395b2obo3bob2o401b2obo3bob2o406b2obo3bob2o$10059b2o1233b2o2bo3b
o2b2o399b2o2bo3bo2b2o404b2o2bo3bo2b2o$10058bo1235b2ob2o3b2ob2o399b2ob
2o3b2ob2o404b2ob2o3b2ob2o$11294b2ob2o3b2ob2o399b2ob2o3b2ob2o404b2ob2o
3b2ob2o$11296bo7bo403bo7bo384b3o5b3o13bo7bo$10068b3o855b3o367b2o5b2o
403b2o5b2o386bo21b2o5b2o$10068bo13bo389b2o5b2o403b2o5b2o33bo369b2o5b2o
403b2o5b2o408b2o5b2o$10069bo11b2o389b2o5b2o403b2o5b2o34bo368b2o5b2o
403b2o5b2o408b2o5b2o$10046b3o32bobo2017b3o$10048bo7bo$10047bo8b2o2043b
o2bob2o$10055bobo2042bo3bob2o$10041b2o2057b2o2bob2o$10042b2o2055b2o$
10041bo21bo2035b2o2bo$10062b2o2035bobob2o$10062bobo2034bo$10091b2o
2007bo2bo$10090b2o2009b2o7b2o$10060bo31bo2017b2o$10060b2o$10059bobo$
10846b3o79b3o$10848bo79bo$10847bo81bo3$10081b2o$10081bobo$10081bo9bo$
10037b2o51b2o$10036bobo51bobo$10038bo3bo$10042b2o$10041bobo14$11556b2o
$11557b2o$11556bo94$11549b2o$11548bobo$11550bo280bo$11830b2o$11830bobo
!
#C [[ MAXGRIDSIZE 14 ]]
Bx222 IS MY WORST ENEMY.

Please click here for my own pages.

My recent rules:
StateInvestigator 3.0
B3-kq4ej5i6ckn7e/S2-i34q6a7
B3-kq4ej5y6c/S2-i34q5e
Move the Box

User avatar
yujh
Posts: 2165
Joined: February 27th, 2020, 11:23 pm
Location: 我不觉得我迷路了,但是我不知道我在哪里
Contact:

Re: Thread for basic questions

Post by yujh » March 27th, 2021, 7:38 pm

How can I mute a thread so I can’t see it, e.g.extended life extensions?

I know I can add one to the foe list but I’m just too curious

Dylan Chen
Posts: 100
Joined: March 27th, 2020, 8:07 am
Contact:

Re: Thread for basic questions

Post by Dylan Chen » March 29th, 2021, 8:11 pm

In order to create a Garden of Eden. Consider one cell. If it is ON it has 140 parents.
https://oeis.org/A196447

how did that 140 come from?

B3: 8x7x6/3/2
S2: 8x7/2
S3: 8x7x6/3/2
=140
Tools should not be the limit.
Whether your obstacle is a script, an stdin, or Linux environment computing resouces.
check New rules thread for help.

User avatar
Macbi
Posts: 814
Joined: March 29th, 2009, 4:58 am

Re: Thread for basic questions

Post by Macbi » March 30th, 2021, 2:24 am

Dylan Chen wrote:
March 29th, 2021, 8:11 pm
In order to create a Garden of Eden. Consider one cell. If it is ON it has 140 parents.
https://oeis.org/A196447
The graph of that sequence is interesting. It has a sawtooth pattern where it jumps up and then gradually comes back down. I guess the jump up happens when the spiral reaches a corner? Does that tell us anything interesting about GoEs?

mniemiec
Posts: 1269
Joined: June 1st, 2013, 12:00 am

Re: Thread for basic questions

Post by mniemiec » March 30th, 2021, 2:52 am

MathAndCode wrote:
March 24th, 2021, 9:40 am
What are the grammar conventions for patterns? For example, when I refer to patterns, should I use articles, and if so, should I use the or a? Also, would the following RLE contain hookses? ...
Under normal English grammar rules, if a singular word ending in "s" is pluralized, you add "es", but if something that is already plural is pluralized again, it doesn't change. In the case of "hooks", that is already the plural of "hook" (rather than just a word that ends with "s", like "bass"), so you would have 1 hooks, 2 hooks.

User avatar
creeperman7002
Posts: 262
Joined: December 4th, 2018, 11:52 pm

Re: Thread for basic questions

Post by creeperman7002 » March 31st, 2021, 8:55 am

Should Catagolue have a page explaining how apgcodes work and/or have a link to LifeWiki's apgcode page? I feel like newcomers would be confused by the term "apgcode" and think that the term needs explaining.
B2n3-jn/S1c23-y is an interesting rule. It has a replicator, a fake glider, an OMOS and SMOS, a wide variety of oscillators, and some signals. Also this rule is omniperiodic.
viewtopic.php?f=11&t=4856

User avatar
calcyman
Posts: 2410
Joined: June 1st, 2009, 4:32 pm

Re: Thread for basic questions

Post by calcyman » March 31st, 2021, 10:10 am

creeperman7002 wrote:
March 31st, 2021, 8:55 am
Should Catagolue have a page explaining how apgcodes work and/or have a link to LifeWiki's apgcode page? I feel like newcomers would be confused by the term "apgcode" and think that the term needs explaining.
Yes, it's here -- https://catagolue.hatsya.com/help/wechsler.txt -- although the LifeWiki page is much better.
What do you do with ill crystallographers? Take them to the mono-clinic!

User avatar
GUYTU6J
Posts: 1372
Joined: August 5th, 2016, 10:27 am
Location: 拆哪!I repeat, CHINA! (a.k.a. 种花家)
Contact:

Re: Thread for basic questions

Post by GUYTU6J » March 31st, 2021, 11:43 am

In the currently explored drifter world, what's the flow matrix like with the following plausible signal types?
  1. glider,
  2. single-length 2c/3 signal,
  3. double-length 2c/3 signal,
  4. 5c/9 signal,
  5. the first stage of an acting TWIT eater (i.e. what shows before the block participates),
  6. grin spark,
  7. thumb spark,
  8. a three-cell surface that basically acts like an eater 1, and
  9. the first stage of an acting grin reagent
For example, the following rediscovery from 1998-eater-stamp-collection —
Kazyan wrote:
December 14th, 2020, 6:35 pm
Here is a complicated glider eater interaction:

Code: Select all

x = 20, y = 16, rule = B3/S23
8bo2bo2b2o$8b4o2bo2b2o$15bobo$6b6o2b2obo$6bo5bo3bo$8b2obob3o$9bobobo$
9bobo6b2o$b2o3bo3b2o6bo$bo3bobo8bobo$2bo3b2o7bobo$3bo7b2o3bo$bob5o3b2o
$obo4bo8b2o$obo2bo10bobo$bo3b2o9bo!
What interests me is that the glider is first eaten by a TWIT mechanism, but the reaction is relayed over to a second TWIT. These can't be strung into a long chain, sadly, but maybe someone experienced with drifter can find an actual chainable signal like this.
— shows a chain of 1→5→6→5 conversions, while this —
Scorbie wrote:
January 23rd, 2015, 1:00 am
2c/3 signal to a weak diagonal thumb. I think the starting reaction can vary, as there are more than one way to trigger that.

Code: Select all

x = 27, y = 16, rule = B3/S23
18b2o$12b2o4bo2bo2bo$11bobo6b5o$11bo5bo7b2o$10b2o5b5obobo$23bobo$3b2o
10b5obobob2o$3bo2bob2o5bo5bobobo$2obob2obobo5b3o2bobobo$o2bo4bobo2bo5b
obo2bo$2b2ob4ob4o4bo2bo$4bo4bo9b2o$4bobo2bob3o$5b2o3bobo$14bo$13b2o!
...
EDIT2: This pond reaction might yield a p34, if someone can coax the eater2 in the honey thieves to something similar. In some cases, this can trigger the reaction too.

Code: Select all

x = 19, y = 18, rule = B3/S23
7b2o$8bo$7bo$7b2o2$14b2o$9b2obo2bo$8bobob2obob2o$o2bobo2bobo4bo2bo$b2o
2b4ob4ob2o$9bo4bo$b5ob2o2b2obo$bo4b2o4bobob2o$4bo4bo2bobob2o$4b6o3bo2$
6b2o$6b2o!
— proves 2→8→7 and 6→7. 30P6.1 demonstrates 6→6 in two orientations, and various devices between 1,2,3, and 4 can be found in stable signal converters thread.

Tangentially related, I like these p28 and p30 thumb sparkers:

Code: Select all

x = 61, y = 74, rule = B3/S23
2b2o11b2o26b2o$2b2o3bo3bo3b2o26b2o$7bo3bo$2bo4bo3bo4bo$b2o13b2o$2o15b
2o3$6bo5bo8b2o$22bo$5b3o3b3o7bo18b2obob2o$bo15bo3b2o$obo13bobo21bo5bo
2b2o$bo15bo10b2o20bo$7bo3bo13b2o2bo11b2ob2o3bo$7bo3bo12bob2obob2o10bo
5b2o$2b2o3bo3bo3b2o2bo2bobo4bo2bo$2b2o11b2o2b4ob4ob2o25b2o$23bo4bo22bo
2b2obo$15b5ob2o2b2obo21bob3o2bob2o$15bo4b2o4bobob2o11b2o2bo2bo4bobo2bo
$18bo4bo2bobob2o11b2o2b4ob4ob2o$18b6o3bo23bo4bo$43b5ob2o2b2obo$20b2o
21bo4b2o4bobob2o$20b2o24bo4bo2bobob2o$46b6o3bo2$48b2o$48b2o11$56b2o$
56b2o3$43b2o$43b2o7$53b2o3b2o$55b3o$40b2obob2o7bo3bo$55bobo$40bo5bo2b
2o5bo$50bo$41b2ob2o3bo$43bo5b2o2$56b2o$51bo2b2obo$50bob3o2bob2o$43b2o
2bo2bo4bobo2bo$43b2o2b4ob4ob2o$51bo4bo$43b5ob2o2b2obo$43bo4b2o4bobob2o
$46bo4bo2bobob2o$46b6o3bo2$48b2o$48b2o!
Lifequote:
In the drama The Peony Pavilion, Tang Xianzu wrote: 原来姹紫嫣红开遍,似这般都付与断井颓垣。
(Here multiflorate splendour blooms forlorn
Midst broken fountains, mouldering walls.)
I'm afraid there's arrival but no departure.
Stop Japan from dumping nuclear waste!

User avatar
calcyman
Posts: 2410
Joined: June 1st, 2009, 4:32 pm

Re: Thread for basic questions

Post by calcyman » March 31st, 2021, 1:41 pm

2--6--7 and 2--3--8--7:

Code: Select all

x = 112, y = 62, rule = B3/S23
77b2o$72b2obo2bo$72b2ob3o2$72b6o$71bo6bo$71bobob4o$69bobobo7bo$69b2o2b
o2b6o$8b2o63bobo$3b2obo2bo62b2obo2b6o$3b2ob3o66bobo6bo$75bobo2b5o$3b6o
67b2obo7bo$2bo6bo69bo2b6o$2bobob4o69bobo$obobo7bo65b2obo2b6o$2o2bo2b6o
68bobo6bo$4bobo74bobo2b5o$3b2obo2b6o67b2obo7bo$6bobo6bo69bo2b6o$6bobo
2b5o69bobo$7b2obo7bo65b2obo2b6o$10bo2b6o68bobo6bo3b2o$10bobo74bobo2b5o
2bo2bo$9b2obo2b6o67b2obo7b3obo$12bobo6bo69bo2b5o3bobob2o$12bobo2b5o69b
obo6bo3bobo$13b2obo7bo65b2obo2b6o2bobo$16bo2b6o68bobo6bobobobo$16bobo
74bobo2b4obo2b2obo$15b2obo2b6o67b2obo3bobobo3bo$18bobo6bo69bobo3bobob
2ob2o$18bobo2b5o66b3obob4obo2bobo$19b2obo7bo63bo3bo7bobo2bo$22bo2b6o
67b8o2b3o$22bobo12b2ob2ob2o60bobo$21b2obo2b6o5bobo3bo51b7o2bob2o$24bob
o6bob3o3b3o33b2o13b2obo7bob2o2bo$24bobo2b5obo40bo2bo12b2ob6o2bo4b2o$
25b2obo10b3o34bo2bo6b2o13bobo$28bo2b4o3bo3bo34b2o6bobo4b7o2bob2o$28bob
o4bo2b2ob2o42bo5bo7bobo$25b2obobo2b2obobo45b2o5b6o2bobo$26bobobobo3bo
3b3o54bob2o$26bobobobob2ob3o2bo34b2o10b6o2bo$27bobobobobobo2bo36bo2bob
2o5bo5bobo$29bo3bobo4b2o32b2obob2obobo5b3o2bob2o$28b2o2bo2bo38bo2bo4bo
bo2bo5bobo$33b2o12b2o27b2ob4ob4o4bo2bo$42b2obo2bo29bo4bo9b2o$41bobob2o
bob2o26bobo2bob3o$34b2o2bo2bobo4bo2bo27b2o3bobo$34b2o2b4ob4ob2o38bo$
42bo4bo39b2o$34b5ob2o2b2obo$34bo4b2o4bobob2o$37bo4bo2bobob2o$37b6o3bo
2$39b2o$39b2o!
What do you do with ill crystallographers? Take them to the mono-clinic!

Dylan Chen
Posts: 100
Joined: March 27th, 2020, 8:07 am
Contact:

Re: Thread for basic questions

Post by Dylan Chen » March 31st, 2021, 11:47 pm

What limited the development of CA ? in last half century


DeepLearning goes from 1943(MCP)->1958(Perceptrons)-> 1986(MLP)-> 1990+(SVM)-> 2006(unsupervised learning)->2012 (CNN)

For CGoL most theory has been done in 1970+ or 80+, in Scientific American, Life volume, or Conway's book. The paper about spaceship search was done in 1999 by David Eppstein.
Specifically, 1.what did we gain from CGoL/CA?
2.what usage could CA have in our real-life?
3.Does the property of CA itself limit its development?


Edit: thks! @hkoenig. those books are great.

Code: Select all

Adamatzky, "Collision-Based Computing", 2002
Griffeath/Moore, "New Constructions in Cellular Automata", 2003
Adamatzky, "Game of Life Cellular Automata", 2010
Rendell, "Turning Machine Universality of the Game of Life", 2016
Last edited by Dylan Chen on April 2nd, 2021, 6:37 pm, edited 1 time in total.
Tools should not be the limit.
Whether your obstacle is a script, an stdin, or Linux environment computing resouces.
check New rules thread for help.

MathAndCode
Posts: 4483
Joined: August 31st, 2020, 5:58 pm

Re: Thread for basic questions

Post by MathAndCode » March 31st, 2021, 11:50 pm

Dylan Chen wrote:
March 31st, 2021, 11:47 pm
What limited the development of CA ? in last half century
There isn't one single limitation. If more people were studying cellular automata, more discoveries would have been made. If the people who study cellular automata had more time to do so, more discoveries would have been made. If the people who studying cellular automata had access to better technology, such as more powerful computers, more discoveries would have been made.
I have historically worked on conduits, but recently, I've been working on glider syntheses and investigating SnakeLife.

MathAndCode
Posts: 4483
Joined: August 31st, 2020, 5:58 pm

Re: Thread for basic questions

Post by MathAndCode » April 2nd, 2021, 12:59 am

dvgrn wrote:
March 18th, 2021, 1:47 pm
I certainly won't disagree -- I'm just not volunteering to do all the judging and rewriting and fixing work on the LifeWiki to merge all of these pages successfully into a single combined page.
I just typed a potential merged page. However, I didn't save the changes to the 1 beacon page because all of the infoboxes created a lot of clutter, and I'm not sure how to collapse the variants section, so I'm posting it here instead.

Code: Select all

{{Oscillator
|name             = 1 beacon
|pname            = 1beacon
|family           = Beacon
|c                = 18
|bx               = 7
|by               = 7
|fc               = 29.4
|p                = 2
|m                = 2
|h                = 2
|v                = 0.10
|sv               = 0.10
|rotor            = Diagonal on-off
|rulemin          = B3/S23
|rulemax          = B378/S01235678
|rulespecial      = [[Conway's Game of Life|Conway Life]]
|isorulemin       = B3aj/S23ajnr
|isorulemax       = B2cik34ceikqyz5acijy6-k78/S01234-kq5678
|synthesis        = 7
|synthesisRLE     = true
|plaintext        = true
|rle              = true
|apgcode          = xp2_ca9baiczw32
|pentadecathlonid = 18P2.465
|animated         = true
|viewerconfig     = #C [[ GPS 1 THUMBSIZE 2 ]]
}}
'''1 beacon''' is a {{period|2}} [[oscillator]].

==[[List of common oscillators|Commonness]]==
1 beacon is about the thirty-second most [[common]] naturally-occurring oscillator in [[Achim Flammenkamp's census]], being slightly less common than the [[cis-beacon up on long hook]], approximately as common as the [[cis-beacon on cap]], and more common than [[20P2]].<ref>{{citeAchim|accessdate=January 15, 2009}}</ref>

==Synthesis==
In October 2014, Ivan Fomichev found an 8-glider synthesis for this pattern based on a soup from [[Adam P. Goucher]]'s [[apgsearch]] script.<ref>{{cite web|url=http://www.conwaylife.com/forums/viewtopic.php?f=2&t=1452&start=25#p13695|title=Soup search results|date=|accessdate=November 9, 2014}}</ref> [[Tanner Jacobi]] later found a 7-glider synthesis.

==Variants==
1 beacon has several stator variants.

===Loop weld 1 beacon weld table===
{{Oscillator
|name             = loop weld 1 beacon weld table
|pname            = 21p2
|family           = Beacon
|c                = 16
|bx               = 7
|by               = 7
|fc               = 32.5
|p                = 2
|m                = 2
|h                = 2
|v                = 0.11
|rotor            = Diagonal on-off
|rulemin          = B3/S23
|rulemax          = B378/S01235678
|rulespecial      = [[Conway's Game of Life|Conway Life]]
|isorulemin       = B3aj/S2-n3ajnr
|isorulemax       = B2cik34-ajntw5-kqr6-k78/S01234-kq5678
|synthesis        = 8
|synthesisRLE     = true
|plaintext        = true
|rle              = true
|apgcode          = xp2_8e1t2gozw23
|pentadecathlonid = 16P2.91
|animated         = true
|viewerconfig     = #C [[ LOOP 2 GPS 2 THUMBSIZE 2 ]]
}}
Loop weld 1 beacon weld table is about the thirty-eighth most [[common]] naturally-occurring oscillator in [[Achim Flammenkamp's census]].<ref>{{citeAchim|accessdate=January 15, 2009}}</ref>

===Loop weld 1 beacon weld worm===
{{Oscillator
|name             = loop weld 1 beacon weld worm
|pname            = 22p2
|family           = Beacon
|c                = 20
|bx               = 7
|by               = 8
|fc               = 32.6
|p                = 2
|m                = 2
|h                = 2
|v                = 0.09
|sv               = 0.09
|rotor            = Diagonal on-off
|rulemin          = B3/S23
|rulemax          = B378/S01235678
|rulespecial      = [[Conway's Game of Life|Conway Life]]
|isorulemin       = B3aj/S2-n3ajnr
|isorulemax       = B2ik34cekqryz5-ekqr6-k78/S01234-kq5678
|synthesis        = 5
|synthesisRLE     = true
|plaintext        = true
|rle              = true
|apgcode          = xp2_69b8baiczx32
|pentadecathlonid = 20P2.2254
|animated         = true
|viewerconfig     = #C [[ LOOP 2 GPS 2 THUMBSIZE 2 ]]
}}
Loop weld 1 beacon weld worm is about the forty-seventh most [[common]] naturally-occurring oscillator in [[Achim Flammenkamp's census]].<ref>{{citeAchim|accessdate=January 15, 2009}}</ref>

===Loop weld 1 beacon weld fishhook===
{{Oscillator
|name             = loop weld 1 beacon weld fishhook
|pname            = 24p2
|family           = Beacon
|c                = 18
|bx               = 8
|by               = 7
|fc               = 35.4
|p                = 2
|m                = 2
|h                = 2
|v                = 0.10
|sv               = 0.10
|rotor            = Diagonal on-off
|rulemin          = B3/S23
|rulemax          = B378/S01235678
|rulespecial      = [[Conway's Game of Life|Conway Life]]
|isorulemin       = B3aj/S2-n3ajnr
|isorulemax       = B2cik34-ajntw5-kqr6-k78/S01234-kq5678
|synthesis        = 9
|synthesisRLE     = true
|plaintext        = true
|rle              = true
|apgcode          = xp2_6a88baiczx32
|pentadecathlonid = 18P2.420
|animated         = true
|viewerconfig     = #C [[ LOOP 2 GPS 2 THUMBSIZE 2 ]]
}}
Loop weld 1 beacon weld fishhook is about the fifty-fifth most [[common]] naturally-occurring oscillator in [[Achim Flammenkamp's census]].<ref>{{citeAchim|accessdate=January 15, 2009}}</ref>

===1 beacon up-weld symmetric scorpion===
{{Oscillator
|name             = 1 beacon up-weld symmetric scorpion
|pname            = 18p2.471
|family           = Beacon
|c                = 18
|bx               = 7
|by               = 7
|fc               = 34.0
|p                = 2
|m                = 2
|h                = 2
|v                = 0.10
|sv               = 0.10
|rotor            = Diagonal on-off
|rulemin          = B3/S23
|rulemax          = B378/S01235678
|rulespecial      = [[Conway's Game of Life|Conway Life]]
|isorulemin       = B3aj/S2-n3-ckqy
|isorulemax       = B2cik34-ajntw5-kqr6-ik78/S01234-kq5678
|synthesis        = 9
|synthesisRLE     = true
|plaintext        = true
|rle              = true
|apgcode          = xp2_caabaiczw32
|pentadecathlonid = 18P2.471
|animated         = true
|viewerconfig     = #C [[ LOOP 2 GPS 2 THUMBSIZE 2 ]]
}}
1 beacon up-weld symmetric scorpion is about the fifty-fifth most [[common]] naturally-occurring oscillator in [[Achim Flammenkamp's census]].<ref>{{citeAchim|accessdate=January 15, 2009}}</ref>

===1 beacon weld inflected clip===
{{Oscillator
|name             = 1 beacon weld inflected clip
|pname            = 26p2
|family           = Beacon
|c                = 20
|bx               = 8
|by               = 7
|fc               = 34.4
|p                = 2
|m                = 2
|h                = 2
|v                = 0.09
|sv               = 0.09
|rotor            = Diagonal on-off
|rulemin          = B3/S23
|rulemax          = B378/S01235678
|rulespecial      = [[Conway's Game of Life|Conway Life]]
|isorulemin       = B3aj/S23ajnr
|isorulemax       = B2ik34aceqz5-ekqr6-k78/S01234-kq5678
|synthesis        = 9
|synthesisRLE     = true
|plaintext        = true
|rle              = true
|apgcode          = xp2_69b8b9iczx32
|pentadecathlonid = 20P2.2235
|animated         = true
|viewerconfig     = #C [[ LOOP 2 GPS 2 THUMBSIZE 2 ]]
}}
1 beacon weld inflected clip is about the fifty-fifth most [[common]] naturally-occurring oscillator in [[Achim Flammenkamp's census]].<ref>{{citeAchim|accessdate=January 15, 2009}}</ref>

===Mangled 1 beacon===
{{Oscillator
|name             = Mangled 1 beacon
|pname            = mangled1beacon
|family           = Beacon
|c                = 16
|bx               = 7
|by               = 7
|fc               = 37.2
|p                = 2
|m                = 2
|h                = 2
|v                = 0.11
|rotor            = Diagonal on-off
|rulemin          = B3/S23
|rulemax          = B378/S01235678
|rulespecial      = [[Conway's Game of Life|Conway Life]]
|isorulemin       = B3aj/S23ajnr
|isorulemax       = B2cik34ceiqz5-qr6-k78/S01234-kq5678
|synthesis        = 13
|animated         = true
|plaintext        = true
|rle              = true
|viewerconfig     = #C [[ THUMBSIZE 2 GPS 2 ]]
|apgcode          = xp2_c88b9iczw32
|pentadecathlonid = 16P2.88
}}
Mangled 1 beacon is eighty-fourth most common period-2 oscillator on [[Adam P. Goucher]]'s [[Catagolue]].<ref>{{cite web |last1=Goucher |first1=Adam P. |title=Census - Catagolue |url=https://catagolue.hatsya.com/census/b3s23/C1/xp2?offset=50 |website=catagolue.hatsya.com |access-date=2 April 2021}}</ref>

===Loop weld 1 beacon weld beacon on cover===
{{Oscillator
|name             = Loop weld 1 beacon weld beacon on cover
|family           = Beacon
|c                = 30
|bx               = 8
|by               = 10
|p                = 2
|m                = 2
|h                = 2
|v                = 0.03
|rotor            = Diagonal on-off
|rulemin          = B3/S23
|rulemax          = B378/S01235678
|rulespecial      = [[Conway's Game of Life|Conway Life]]
|isorulemin       = B3ajS2-n3ajnr
|isorulemax       = B2ik34cekqryz5-kqr6-k78S01234-kq5678
|synthesis        = 7
|apgcode          = xp2_og2t1e8z6221
}}
Loop weld 1 beacon weld beacon on cover 1 beacon is thirty-eighth most common period-2 oscillator on [[Adam P. Goucher]]'s [[Catagolue]].<ref>{{cite web |last1=Goucher |first1=Adam P. |title=Census - Catagolue |url=https://catagolue.hatsya.com/census/b3s23/C1/xp2?offset=0 |website=catagolue.hatsya.com |access-date=2 April 2021}}</ref>

===1 beacon in-weld 1 beacon===
{{Oscillator
|name             = 1 beacon in-weld 1 beacon
|family           = Beacon
|c                = 18
|bx               = 7
|by               = 8
|fc               = 33.9
|p                = 2
|m                = 2
|h                = 2
|v                = 0.10
|rotor            = Diagonal on-off
|rulemin          = B3/S23
|rulemax          = B378/S01235678
|rulespecial      = [[Conway's Game of Life|Conway Life]]
|isorulemin       = B3jS2-a3jnr
|isorulemax       = B1e2-ae34-ajnrt5acijy6-k78S01234-k5678
|apgcode          = xp2_0ciab9acz6aiqa96
}}
1 beacon in-weld 1 beacon is a rotationally symmetric period-2 oscillator. It is similar to 1 beacon, but instead of one block/preblock of the beacon being replaced with the large section/island. Using other stator variants for one or both sides is also possible.

== External links ==
{{LinkCatagolue|xp2_ca9baiczw32}}
{{LinkPentadecathlonObject|18P2.465}}
I have historically worked on conduits, but recently, I've been working on glider syntheses and investigating SnakeLife.

Dylan Chen
Posts: 100
Joined: March 27th, 2020, 8:07 am
Contact:

Re: Thread for basic questions

Post by Dylan Chen » April 2nd, 2021, 3:39 am

The occurrance of asy 16x16 Methuselahs are log-linear:
Image


by inaccurate statistical inference, there would be 8.6x10^67 methuselah_25k in future total 10^76 asy-soups.
Image
with in my unreliable statistical regression, the most longevity meth would be 288k.


My question is: Does this reveal the boundary of CGoL universe?
From 16x16 soups, you can go at most 288k ticks.


And in philosophy: We would exhaust our universe to finish all 16x16 soups, while the most we can get is just merely 288k ?
Were we too bad at 'energy->soup search' conversion (Our civilization were too primitive)?
Or it suggest that our universe is relatively small?
Tools should not be the limit.
Whether your obstacle is a script, an stdin, or Linux environment computing resouces.
check New rules thread for help.

User avatar
dvgrn
Moderator
Posts: 7848
Joined: May 17th, 2009, 11:00 pm
Location: Madison, WI
Contact:

Re: Thread for basic questions

Post by dvgrn » April 2nd, 2021, 9:21 am

Dylan Chen wrote:
April 2nd, 2021, 3:39 am
My question is: Does this reveal the boundary of CGoL universe?
From 16x16 soups, you can go at most 288k ticks.
Interesting! Thanks for doing this analysis.

Back in 2009, when TOLLCASS was active, I did the same kind of analysis on somewhat sparser data, and came up with an estimated upper limit of 400,000 ticks ... but those were 20x20 soups. I think it's been shown that larger soups will last proportionally longer on average, but this estimate for an upper limit for 20x20 is the only hard statistic I have to back that up at the moment. I wonder if it's possible to add on messless32, megasized32, and methuselah32 categories for apgsearch/Catagolue, for 32x32 soups.

As soup sizes increase, eventually the search space will be large enough that long-tail methuselahs will exist, with times in the millions or billions or trillions of ticks -- probably with a mechanism like this recent soup discovery, but with the required one or two or three additional synchronized gliders generated by the crystal growth and decay mechanism, that are needed to shoot down the switch engines that are producing the backwards gliders that generate the crystal.

It's very hard to estimate how often this will happen, mostly because we don't know what the cheapest backward-firing switch-engine group is that can be stopped by gliders along the edges of their debris trails -- I think the example above probably can't be stopped with forward-firing gliders. So we're in completely unknown territory:

Is there a backward-firing switch-engine pair that can be stopped completely by a single glider? Or will it take three synchronized switch engines and a synchronized glider, or two switch engines and two synchronized gliders? Or is the most likely high-tick eventual-stop mechanism actually something entirely different from this?

hkoenig
Posts: 171
Joined: June 20th, 2009, 11:40 am

Re: Thread for basic questions

Post by hkoenig » April 2nd, 2021, 12:33 pm

Dylan Chen wrote:For CGoL most theory has been done in 1970+ or 80+, in Scientific American, Life volume, or Conway's book. The paper about spaceship search was done in 1999 by David Eppstein.
What about?

Adamatzky, "Collision-Based Computing", 2002
Griffeath/Moore, "New Constructions in Cellular Automata", 2003
Adamatzky, "Game of Life Cellular Automata", 2010
Rendell, "Turning Machine Universality of the Game of Life", 2016

Dylan Chen
Posts: 100
Joined: March 27th, 2020, 8:07 am
Contact:

Re: Thread for basic questions

Post by Dylan Chen » April 3rd, 2021, 2:25 am

Is there clear boundary between Class 2 and Class 4 CA?

Class 2:Simple (periodic)
Class 4:Complex (unpredictable)



Edit:
tks! @dvgrn
and here is megasize and messless
Image
https://cdn.discordapp.com/attachments/ ... nknown.png
the assumed boundary of megasize is 364h, for messless is 88h.


The massive random soup search may work like Monte Carlo method, to approach the properties of CA.
Could we write a paper about it?
Last edited by Dylan Chen on April 3rd, 2021, 7:52 am, edited 2 times in total.
Tools should not be the limit.
Whether your obstacle is a script, an stdin, or Linux environment computing resouces.
check New rules thread for help.

User avatar
yujh
Posts: 2165
Joined: February 27th, 2020, 11:23 pm
Location: 我不觉得我迷路了,但是我不知道我在哪里
Contact:

Re: Thread for basic questions

Post by yujh » April 3rd, 2021, 3:27 am

How can I measure how explosive a rule is?

User avatar
Moosey
Posts: 4196
Joined: January 27th, 2019, 5:54 pm
Location: A house, or perhaps the OCA board. Or [click to not expand]
Contact:

Re: Thread for basic questions

Post by Moosey » April 3rd, 2021, 2:26 pm

yujh wrote:
April 3rd, 2021, 3:27 am
How can I measure how explosive a rule is?
There was a thread to this effect, which never went anywhere. What was determined, both in that thread and on discord, was that this question is surprisingly difficult to answer.

Ultimately it comes down to how you define explosivity and how you measure it. For instance, "does a rule explode if linear growth is frequent? Does it explode if quadratic or chaotic growth is frequent? Can stable rules be more explosive than others if the final populations of their soups are larger? Is a rule more explosive if it takes longer for patterns to stabilize into a periodic mechanism? If so, what about rules where this never happens? What about the halting problem?" -- even if you put these aside and define it based on, say, percentage of 16x16 soups that grow quadratically, it takes a decent amount of processing power to determine the metric (particularly if it's on the higher end of the metric) within a reasonable-sized uncertainty.
My CA rules can be found here

Bill Watterson once wrote: "How do soldiers killing each other solve the world's problems?"
Nanho walåt derwo esaato?

leaplife advertising bad!

Post Reply