## Wild Seas (B2c3-cekq4ikt5i8/S2-in3-acky4aijry5eiky6i)

For discussion of other cellular automata.
77topaz
Posts: 1345
Joined: January 12th, 2018, 9:19 pm

### Wild Seas (B2c3-cekq4ikt5i8/S2-in3-acky4aijry5eiky6i)

I decided to name this rule Wild Seas because, firstly, the boat and ship are the most common still lifes; and secondly, small oscillators make up a high proportion of ash, making me think of, say, the surface of a sea in a storm. Interesting things discovered in this rule so far will be summarised below.

The rule supports Margolus patterns with four different media:

Code: Select all

``````x = 32, y = 8, rule = B2c3-cekq4ikt5i8/S2-in3-acky4aijry5eiky6i
o9bo9bo9b2o\$10bo10bo8b2o\$o9bo9bo9b2o\$10bo10bo8b2o\$o9bo9bo9b2o\$10bo10bo
8b2o\$o9bo9bo9b2o\$10bo10bo8b2o!
``````
As a result, the rule has a beautiful variety of small natural oscillators.

There are two small natural spaceships, a c/2 one and a 2c/25 (4c/50) one, which I think of as the "U-glider" or "glider" and "sailor", respectively:

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``````x = 6, y = 14, rule = B2c3-cekq4ikt5i8/S2-in3-acky4aijry5eiky6i
2o\$o\$2obo\$3bo7\$2ob3o\$o3bo\$bobobo\$bo!
``````
There also exists a clean 3c/4 orthogonal fuse:

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``````x = 57, y = 7, rule = B2c3-cekq4ikt5i8/S2-in3-acky4aijry5eiky6i
53bo\$54b2o\$o2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo3bo\$52b2o
2bo\$o2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo3bo\$54b2o\$53bo!
``````
EDIT: and a clean 2c/7 diagonal fuse:

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``````x = 30, y = 29, rule = B2c3-cekq4ikt5i8/S2-in3-acky4aijry5eiky6i
28b2o\$26bo2bo\$26b2o\$24bo\$24b2o\$22bo\$22b2o\$20bo\$20b2o\$18bo\$18b2o\$16bo\$
16b2o\$14bo\$14b2o\$12bo\$12b2o\$10bo\$10b2o\$8bo\$8b2o\$6bo\$6b2o\$bob2o\$2o2b2o\$
bo3bo\$o\$3b3o\$2bobo!
``````
Now, I'm wondering whether guns, puffers or rakes exist in this rule.

Goldtiger997
Posts: 545
Joined: June 21st, 2016, 8:00 am
Location: 11.329903°N 142.199305°E

### Re: Wild Seas (B2c3-cekq4ikt5i8/S2-in3-acky4aijry5eiky6i)

Here are some spaceships (c/2,c/3,c/4,c/5,c/6,c/4d):

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``````x = 122, y = 102, rule = B2c3-cekq4ikt5i8/S2-in3-acky4aijry5eiky6i
113b3o\$113bobo\$112b2ob2o\$110bo2bobo2bo\$110bo2b3o2bo\$111bob3obo\$111b2ob
ob2o\$111b2obob2o\$112bo3bo2\$112b5o\$114bo\$111bobobobo3\$109b3o5b3o\$109b3o
b3ob3o\$111bob3obo\$110bo2b3o2bo\$108b2o3bobo3b2o\$109b2o2b3o2b2o\$113b3o\$
112bo3bo2\$113bobo\$112bo3bo\$109b3o2bo2b3o\$110bo7bo\$113b3o\$110b2o5b2o\$
114bo\$112bo3bo\$113b3o4\$113bobo2\$113bobo2\$113bobo\$111bobobobo2\$111bo5bo
\$111bo5bo\$113bobo\$113bobo3\$113bobo\$113bobo\$112bo3bo\$110b2o5b2o\$108b4o
5b4o\$107b3o2b5o2b3o\$108b3obobobob3o\$108bob2o2bo2b2obo\$111bo5bo\$108b2o
9b2o\$109bo2bo3bo2bo\$110bo3bo3bo\$110bo2b3o2bo\$111bo5bo\$111bob3obo\$110bo
7bo2\$53bo10bo46b3ob3o\$53b3o6b3o45bobobobobo\$113bobo\$111bobobobo\$52b2ob
o6bob2o44bob2ob2obo\$52b4o6b4o45bo5bo\$56bo4bo50bo3bo\$53bobo6bobo47b5o\$
51bo14bo45bo3bo\$17bo33b2ob4o2b4ob2o44bobobobo\$50b3o2bo6bo2b3o44bo3bo\$
15bo35b2o2bo6bo2b2o\$13bobo34bo4bo6bo4bo44bo3bo\$13b2o2b2o31bo2bo10bo2bo
43b2o3b2o\$12bobob2ob2o27b2obob2o8b2obob2o42bo3bo\$11bo2b2o2bo3bo24bob3o
3bobo2bobo3b3obo43bo\$11b2obo7bo27b3obo8bob3o46bo\$14bo5bo3bo20b2obo3bob
o8bobo3bob2o\$11b6o3b2obo23b2obob3o2b4o2b3obob2o43bo\$6bo4bobo2bo4b2obo
20b2o3bo16bo3b2o10bobo28bo\$8b3obo2b2obobob3o22b2o8b4o8b2o43bo\$7bob2o2b
obo3b3obobo21bo3bo14bo3bo11bobobo\$4bobo2bob2obo2bo2bo24b2o3bobo5b2o5bo
bo3b2o9b2ob2o25b5o\$5b2o2bo4bo31bob4o6b2o6b4obo10b5o23b2o2bo2b2o\$bobobo
3b3obo3b5o22bobo9bob2obo9bobo5bo3bobo3bo21b2o3b2o\$b2o5bob2ob2obo2bo25b
2o2b2o16b2o2b2o6bobo5bobo7b2o4b2o8b3o\$2o2bobob3o2b5o29b4o6bo2bo6b4o8bo
9bo5bo10bo6bobo\$ob2o3bo2b2o4b2o27b2o9bo4bo9b2o7bobo3bobo6b2o2bo2bo2b2o
5b2ob2o\$bo2bobo3b2o2bo30bo2bo3b3o2bo2bo2b3o3bo2bo6bobobobobobo8b6o8b2o
b2o\$10bo4bo32bo9b2o9bo10bo3bo3bo8b3o2b3o7bobobo\$2b2ob2obo2bo2bo16b2o2b
o2b2o6bob3o2b2o8b2o2b3obo7bo3b3o3bo7b2o4b2o8bobo\$b2obo4b2ob2o17b2o5b2o
6b2ob2o6b4o6b2ob2o7bob2o3b2obo6bo2b4o2bo6b5o\$2bo3bob2obob2o9b2o9bo13bo
bobobo6bobobobo13bo3bo9b10o8bo\$2b2ob2o3bobo9b3o3bo3bo2bo2bo3bo39b2ob2o
12b4o11bo\$4bo2b2ob3o9b3o4b2obo5bob2o10bobob6obobo16bobobo12b4o\$7bob2o
12bo5b3o3bo3b3o16b2o23bobo13b4o11bo!``````

77topaz
Posts: 1345
Joined: January 12th, 2018, 9:19 pm

### Re: Wild Seas (B2c3-cekq4ikt5i8/S2-in3-acky4aijry5eiky6i)

Goldtiger997 wrote:Here are some spaceships (c/2,c/3,c/4,c/5,c/6,c/4d):

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``````RLE
``````
Very nice! I'm guessing you used Aidan's ntzfind algorithm to find those?

Also, that c/6 ship is the first time I've actually seen a pattern (excluding soups) make use of the B8 transition in this rule.

Goldtiger997
Posts: 545
Joined: June 21st, 2016, 8:00 am
Location: 11.329903°N 142.199305°E

### Re: Wild Seas (B2c3-cekq4ikt5i8/S2-in3-acky4aijry5eiky6i)

77topaz wrote:Very nice! I'm guessing you used Aidan's ntzfind algorithm to find those?
Thanks! Actually I mostly used ntgfind for this. When finding spaceships in non-totalistic rules, I usually use ntgfind for speeds from c/2 to c/5 and diagonal ships, and use ntzfind for c/6 +. I do this because gfind seems to better at low periods, and zfind better at high periods. I always use gfind first, because it outputs spaceships of a larger variety more easily, with a single search. Furthermore, gfind has no limit to the width it can do, whereas zfind can only do up to w10. It would be impossible to find the larger c/3 that I posted above with ntzfind because it is very wide. I know there is now ntqfind, but I don't know when to use this. I also sometimes use osrc.cpp to find short wide spaceships.

Anyway, I hope that makes sense and is useful.

77topaz
Posts: 1345
Joined: January 12th, 2018, 9:19 pm

### Re: Wild Seas (B2c3-cekq4ikt5i8/S2-in3-acky4aijry5eiky6i)

Here are a few miscellaneous examples to illustrate the wide range of oscillator periods possible within small bounding boxes in this rule:

Period 434:

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``````x = 19, y = 4, rule = B2c3-cekq4ikt5i8/S2-in3-acky4aijry5eiky6i
3bobobobobobobo2\$3bobobobobobobo\$obobobobobobobobobo!
``````
Period 372:

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``````x = 17, y = 6, rule = B2c3-cekq4ikt5i8/S2-in3-acky4aijry5eiky6i
obobobobobobobobo2\$obobobobobobobobo\$bobobobobobobobo2\$bobobobobobobob
o!
``````

Code: Select all

``````x = 17, y = 3, rule = B2c3-cekq4ikt5i8/S2-in3-acky4aijry5eiky6i
17o2\$17o!
``````
Period 210:

Code: Select all

``````x = 27, y = 11, rule = B2c3-cekq4ikt5i8/S2-in3-acky4aijry5eiky6i
13bo2\$11bo3bo2\$9bo3bo3bo\$obobobobobobobobobobobobobo\$9bo3bo3bo2\$11bo3b
o2\$13bo!
``````
Period 504:

Code: Select all

``````x = 21, y = 13, rule = B2c3-cekq4ikt5i8/S2-in3-acky4aijry5eiky6i
5b11o2\$5b11o2\$5b11o2\$obob2obobobobob2obobo2\$5b11o2\$5b11o2\$5b11o!
``````

77topaz
Posts: 1345
Joined: January 12th, 2018, 9:19 pm

### Re: Wild Seas (B2c3-cekq4ikt5i8/S2-in3-acky4aijry5eiky6i)

A family of even-period oscillators whose period goes up irregularly as they are extended was already known for this rule. But there also exists a family of odd-period oscillators whose period goes up irregularly as they are extended:

Code: Select all

``````x = 43, y = 15, rule = B2c3-cekq4ikt5i8/S2-in3-acky4aijry5eiky6i
35bo2\$17bo17bo2\$3bo13bo17bo2\$3bo13bo17bo\$obobobo5bobobobobobo5bobobobo
bobobobo\$3bo13bo17bo2\$3bo13bo17bo2\$17bo17bo2\$35bo!
``````
Like I did for the even-period family in the linked post above, I'll now post the sequence of periods as the length of the "arms" is increased (where N refers to the number of dots per "arm"):

Code: Select all

``````N,period
1,3
2,7
3,7
4,31
5,63
6,15
7,15
8,511
9,63
10,2047
11,1023
12,511
13,16383
14,31
15,31
16,4095
17,87381
18,4095
19,1023
20,127
``````
It seems that all periods achieved by this family are of the form 2^n - 1, for integer n.

Posts: 1906
Joined: November 8th, 2014, 8:48 pm
Location: Getting a snacker from R-Bee's

### Re: Wild Seas (B2c3-cekq4ikt5i8/S2-in3-acky4aijry5eiky6i)

77topaz wrote:It seems that all periods achieved by this family are of the form 2^n - 1, for integer n.
Indeed they are, as typically happens with oscillators of this kind.
Here are the values of n for each N:

Code: Select all

``````N,n
1,2
2,3
3,3
4,5
5,6
6,4
7,4
8,9
9,6
10,11
11,10
12,9
13,14
14,5
15,5
16,12
17,12
18,12
19,10
20,7``````
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

77topaz
Posts: 1345
Joined: January 12th, 2018, 9:19 pm

### Re: Wild Seas (B2c3-cekq4ikt5i8/S2-in3-acky4aijry5eiky6i)

77topaz wrote:It seems that all periods achieved by this family are of the form 2^n - 1, for integer n.
Indeed they are, as typically happens with oscillators of this kind.
Here are the values of n for each N:

Code: Select all

``````N,n
1,2
2,3
3,3
4,5
5,6
6,4
7,4
8,9
9,6
10,11
11,10
12,9
13,14
14,5
15,5
16,12
17,12
18,12
19,10
20,7``````
I think you made a typo for 17, it should be "17,18", right? Anyway, that sequence is A003558 in the OEIS (well, A003558 except its first two terms, but that's not particularly important). This shows that there is a relationship between this family of oscillators and the 1x4N/2x4N ones as well: the former have periods of the form 2^(A003558(N)) - 1, and the latter 2^(A003558(N) + 1) - 2.

EDIT: BlinkerSpawn pointed out that 2^(A003558(N) + 1) - 2 is actually equivalent to simply 2 * (2^(A003558(N)) - 1); hence, the odd-period oscillators' periods are equal to exactly half the even-period ones' periods.

77topaz
Posts: 1345
Joined: January 12th, 2018, 9:19 pm

### Re: Wild Seas (B2c3-cekq4ikt5i8/S2-in3-acky4aijry5eiky6i)

Large, symmetrical patterns/soups in this rule can sometimes have strange, seemingly-everlasting chaos interactions. However, this chaos dies down surprisingly quickly if it hits some kind of asymmetry:

Code: Select all

``````x = 490, y = 262, rule = B2c3-cekq4ikt5i8/S2-in3-acky4aijry5eiky6i
12\$224bobo32bobo6\$49bo150bo23bobo32bobo23bo150bo\$49b3o147b2o17b4o42b4o
17b2o147b3o\$48bob2o147b2o84b2o147b2obo\$48bo388bo\$44b3o188bo14bo188b3o\$
47bobo184bobo12bobo184bobo\$47bo2b2o183b2o12b2o183b2o2bo\$49b3o382b3o\$
49b3o382b3o\$41bo161bobo74bobo161bo\$41b2o2bo7bo128bo7bobo100bobo7bo128b
o7bo2b2o\$39b2o3bobo121bobo144bobo121bobo3b2o\$39b2o5bo6bo110b2o16bo120b
o16b2o110bo6bo5b2o\$41bo2b3obo114bobo42bobo3bo56bo3bobo42bobo114bob3o2b
o\$43bo4bo115bo26b2o21bo56bo21b2o26bo115bo4bo\$41b4ob3o165bo56bo165b3ob
4o\$41bo2b2o32bo105bobo4b2o9bobo9bo56bo9bobo9b2o4bobo105bo32b2o2bo\$43b
2o8b5o127b2o40bo30bo40b2o127b5o8b2o\$40bo2bo7b3o3bo20bo82b2o160b2o82bo
20bo3b3o7bo2bo\$39bobobo6bo2b2obobo101bobo64bo30bo64bobo101bobob2o2bo6b
obobo\$40bobo7b3o6bo22bobo51b4o21bo34bobo28bo30bo28bobo34bo21b4o51bobo
22bo6b3o7bobo\$40bobo7b3o2b2obo4b2o18b2o316b2o18b2o4bob2o2b3o7bobo\$39bo
bo10bo5b2o3bo11bo66bobo82bo30bo82bobo66bo11bo3b2o5bo10bobo\$38bobobo9bo
2bo2b2o4bo27b4o100bobo88bobo100b4o27bo4b2o2bo2bo9bobobo\$37bo2bo13b2obo
17bo93b4o12bo114bo12b4o93bo17bob2o13bo2bo\$38bo2b2o12bo157bo58bo157bo
12b2o2bo\$37bo2b2ob2o10b2o128bo26bobo56bobo26bo128b2o10b2ob2o2bo\$37b3o
10bob2o158b2o58b2o158b2obo10b3o\$37b3o14b2o53bobo75b2o108b2o75bobo53b2o
14b3o\$38b2o9b2ob3o64b2o66bobo106bobo66b2o64b3ob2o9b2o\$52bo7bo57bobo
244bobo57bo7bo\$35bo2b2o7bob2ob2o5bobo24b3o15b3o11b2o29bo186bo29b2o11b
3o15b3o24bobo5b2ob2obo7b2o2bo\$34bo2b2obo6bob2o9bo2b2o22b2o14bo3bo270bo
3bo14b2o22b2o2bo9b2obo6bob2o2bo\$33bo3bobobobo6b2o2b2o3b6o2bo36bob2o20b
2o19bo52bobo76bobo52bo19b2o20b2obo36bo2b6o3b2o2b2o6bobobobo3bo\$34bo3b
3o2b3o6bo7b2o4bo38bo274bo38bo4b2o7bo6b3o2b3o3bo\$31bobob2o3b6o5bobo6bo
3bo38bobo2b2o9bo2bo5b2o226b2o5bo2bo9b2o2bobo38bo3bo6bobo5b6o3b2obobo\$
33b2o3bob2obobo4bobo8bobo12bobo21bobo2bo2b2o50bobo160bobo50b2o2bo2bobo
21bobo12bobo8bobo4bobob2obo3b2o\$32bobo2bo3bob2o15b2ob2o6b3o26b2obo3b4o
8bo2bo8b2o220b2o8bo2bo8b4o3bob2o26b3o6b2ob2o15b2obo3bo2bobo\$32b2o4b3o
19b2ob2o2bo4b2o23b3ob2o2bo2b2o14bo6b3o35bobo142bobo35b3o6bo14b2o2bo2b
2ob3o23b2o4bo2b2ob2o19b3o4b2o\$48bo10bo2b3ob2ob2o28bo4bobo58bo154bo58bo
bo4bo28b2ob2ob3o2bo10bo\$33bo3b2o10bo4bo5bo2bo8bo25b2o3b3ob2o15bo7bo31b
obo152bobo31bo7bo15b2ob3o3b2o25bo8bo2bo5bo4bo10b2o3bo\$33b5ob2o3b2obo2b
o4bo3b4obo2bo36b4o22bo33b2o154b2o33bo22b4o36bo2bob4o3bo4bo2bob2o3b2ob
5o\$33b3o2b3o2b4o2b2o3b2o4bo2b2ob2o6bo53b2ob2o63bo92bo63b2ob2o53bo6b2ob
2o2bo4b2o3b2o2b4o2b3o2b3o\$31b2ob2o7b2obo14bobobobob4obo28bo23b2obo224b
ob2o23bo28bob4obobobobo14bob2o7b2ob2o\$34bo8b2o8bo5bobo3b2ob3ob3o20bo6b
o26b2o2bo62bo92bo62bo2b2o26bo6bo20b3ob3ob2o3bobo5bo8b2o8bo\$32b2ob2ob2o
3b2o2bo3b4o4b2o3bo2b3ob2o21b2o6b2obo21bo5bo38bobo60bo14bo60bobo38bo5bo
21bob2o6b2o21b2ob3o2bo3b2o4b4o3bo2b2o3b2ob2ob2o\$33b2o2b2ob4o4bobo3bo3b
4o4b3obo25bo6bo28bobo67b2o31bo14bo31b2o67bobo28bo6bo25bob3o4b4o3bo3bob
o4b4ob2o2b2o\$34b2o3b3o3bobo4bobo35b2obobo2bo4b2o3b3o18b2o2bo2bo64bobo
31bo14bo31bobo64bo2bo2b2o18b3o3b2o4bo2bobob2o35bobo4bobo3b3o3b2o\$39bob
o2bo3bo5bobob3o28b3o3bobob2o4b2o3bo18bo2bob3o65bo32bo14bo32bo65b3obo2b
o18bo3b2o4b2obobo3b3o28b3obobo5bo3bo2bobo\$36bo7b2o2bo4bo41bob2obo2b4ob
o17bo6b3o2bo83bo40bo83bo2b3o6bo17bob4o2bob2obo41bo4bo2b2o7bo\$34bo6bob
3o2bo2bo2bob4o27b2obob3ob4obo15b2o6bobob2obo2bob2o208b2obo2bob2obobo6b
2o15bob4ob3obob2o27b4obo2bo2bo2b3obo6bo\$20b2o12bo5bob2o4bo2b2obo3bobo
26b2ob2obo7bo4b2o9bobo2b5o2bo2bo4bo26bobo55bo40bo55bobo26bo4bo2bo2b5o
2bobo9b2o4bo7bob2ob2o26bobo3bob2o2bo4b2obo5bo12b2o\$19b2obo7bo2bob2o7b
4o30bo8b2o2bo4b5ob3obob2o8bo5bo3bo4bo85bo46bo85bo4bo3bo5bo8b2obob3ob5o
4bo2b2o8bo30b4o7b2obo2bo7bob2o\$19bo8b6ob2o3bo2bob3o3b2obob3o18bobo8b3o
3b2o2b2o13b2ob2obob3o3b2o8b2obo78bo46bo78bob2o8b2o3b3obob2ob2o13b2o2b
2o3b3o8bobo18b3obob2o3b3obo2bo3b2ob6o8bo\$18b3o6bo5bo2b2ob2o2bo3b2o2b2o
2bo22bo10bo3b2o2bo4bo2bo2b2o3b2obo3bob2o6b5o3bo80bo46bo80bo3b5o6b2obo
3bob2o3b2o2bo2bo4bo2b2o3bo10bo22bo2b2o2b2o3bo2b2ob2o2bo5bo6b3o\$28b2obo
bo7bo5bo2bobobo39bobo8bo8bo3bobo8b2o5b2o81bo46bo81b2o5b2o8bobo3bo8bo8b
obo39bobobo2bo5bo7bobob2o\$16b4o13b2o2b2obo2bobo2b3o2b3o35bob2o4b4o16bo
10b2o2bob2o210b2obo2b2o10bo16b4o4b2obo35b3o2b3o2bobo2bob2o2b2o13b4o\$
16bo3bo8b8o3bo5bobo6b2o28bo5bo2bo4b3o2b2o4bo18bo2b2o218b2o2bo18bo4b2o
2b3o4bo2bo5bo28b2o6bobo5bo3b8o8bo3bo\$16b2o3bo8bobo6bo3bobo3bo5bo27b5o
3bobo5b2obob2ob3ob5o12bob2o2b2o4b3o2bo194bo2b3o4b2o2b2obo12b5ob3ob2obo
b2o5bobo3b5o27bo5bo3bobo3bo6bobo8bo3b2o\$18b4o14bo9b2obo3bob2o19bo9bob
2ob2o6bo2b4o2bobob2obo14bo3b2o3b3o3b2o192b2o3b3o3b2o3bo14bob2obobo2b4o
2bo6b2ob2obo9bo19b2obo3bob2o9bo14b4o\$19bo18b2o12b2obo25b5ob3o14b3o5b2o
bo2bo10b3o3bo4bo2b3o194b3o2bo4bo3b3o10bo2bob2o5b3o14b3ob5o25bob2o12b2o
18bo\$21b2o14bobo14bo21bo4bo2b2ob2o5b3o3bo3b4obo4b2ob4o8b3o9b4o7bobo3bo
168bo3bobo7b4o9b3o8b4ob2o4bob4o3bo3b3o5b2ob2o2bo4bo21bo14bobo14b2o\$20b
2ob2o60bo2b4o3b2o3bo4b2o2bo5b2o5bo6bo2bo3bo4b3o3b3o2b2o3b4o164b4o3b2o
2b3o3b3o4bo3bo2bo6bo5b2o5bo2b2o4bo3b2o3b4o2bo60b2ob2o\$20bobo38b3o4bo
11bobo2b6o7b2o6b2ob2o5b4obob5o2bo2bob2o9bob2o6b2o2bo164bo2b2o6b2obo9b
2obo2bo2b5obob4o5b2ob2o6b2o7b6o2bobo11bo4b3o38bobo\$21b3ob2o35bo2bo2bo
11bo6bo2bo2bo3b3o2b5o2bobobo2bo2b2ob6o2b2o14bob2o12bo22b2o16bobo74bobo
16b2o22bo12b2obo14b2o2b6ob2o2bo2bobobo2b5o2b3o3bo2bo2bo6bo11bo2bo2bo
35b2ob3o\$22bo2bo36bobob2o3bo9bo2bobo2bob2obo8b2o2bo2bobo4b2o7bo4bo15bo
7bo4b2o22b3o112b3o22b2o4bo7bo15bo4bo7b2o4bobo2bo2b2o8bob2obo2bobo2bo9b
o3b2obobo36bo2bo\$56bobobob2o7bo12bo3bobob2o11b2ob3obobobobo3bobobo2b3o
2bo4b3o18bo3bo156bo3bo18b3o4bo2b3o2bobobo3bobobobob3ob2o11b2obobo3bo
12bo7b2obobobo\$54bo2bo2b2o3bo5bo12b4o5bo5bo5b3o2bo3bob2o2bobo5bo2bo4bo
7b2o11bo5bo20bo2b2o26bobo50bobo26b2o2bo20bo5bo11b2o7bo4bo2bo5bobo2b2ob
o3bo2b3o5bo5bo5b4o12bo5bo3b2o2bo2bo\$54bo4b2obo4b4o13bo3bo2bo6bobo5b3o
9bo3bobob3o2bo4bo2bobob2o9bo6b2o19bobobob3o104b3obobobo19b2o6bo9b2obob
o2bo4bo2b3obobo3bo9b3o5bobo6bo2bo3bo13b4o4bob2o4bo\$37b2o13b2obob2obobo
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2o3bobobob2obob2o13b2o\$37b2o12bobobobo4b2ob2o20b2ob2o4b2o3bo2b2o2bo4b
2obobo4bo11b3o5bo2b5o3bob2o4bo12bo5b4o24b2o64b2o24b4o5bo12bo4b2obo3b5o
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o4b3ob3o21b2o4bo2b2o2b2obo11b2o3bobobo2bo7b3o5b2ob7o3bo6bo8b6o4bo3bo2b
2o18b3o62b3o18b2o2bo3bo4b6o8bo6bo3b7ob2o5b3o7bo2bobobo3b2o11bob2o2b2o
2bo4b2o21b3ob3o4bo16bo\$51bo4bo2b2o2b3o21bo9bo7bobo5b5o2b2obo6bo4bo2bo
6bo2bo3bo7bo11b4o11bobo106bobo11b4o11bo7bo3bo2bo6bo2bo4bo6bob2o2b5o5bo
bo7bo9bo21b3o2b2o2bo4bo\$50bo5b2o2bobobo24bo3bo5bo3bob2o6b2o5bob2o5bobo
7b4o2bo4b2o7bo2bo8b2obo2b3o6bobo4b2o96b2o4bobo6b3o2bob2o8bo2bo7b2o4bo
2b4o7bobo5b2obo5b2o6b2obo3bo5bo3bo24bobobo2b2o5bo\$51bob3o3bo2bo23bo2bo
9bo2b2o9b2o5b2o8b2o4bo6b3o3b2o2b2ob2ob3o5bob2o8b2o8bobo2b2o94b2o2bobo
8b2o8b2obo5b3ob2ob2o2b2o3b3o6bo4b2o8b2o5b2o9b2o2bo9bo2bo23bo2bo3b3obo\$
52bo2bo2b3o2bo23bo2bo10bo2b3o7bobob2obo6b2o3bo3b2o2bo2bo2bo2bo4b3o9bo
13bo7b2ob2o47bo2bo47b2ob2o7bo13bo9b3o4bo2bo2bo2bo2b2o3bo3b2o6bob2obobo
7b3o2bo10bo2bo23bo2b3o2bo2bo\$54bobobobobo7bo12b3o3b3o15bo7b3ob2o3bo6b
3o13b3obo3b2o9bo7b4o2bo2bo3bo4b2o98b2o4bo3bo2bo2b4o7bo9b2o3bob3o13b3o
6bo3b2ob3o7bo15b3o3b3o12bo7bobobobobo\$54b2o3bob2o6bobo14bo2bo12bo2b2ob
o6b2ob3o3bo4bob3o5b2ob2ob2o5bo2bo3b3o4bo3b2o2b3obo2bobo3b2o2bob2o46bo
2bo46b2obo2b2o3bobo2bob3o2b2o3bo4b3o3bo2bo5b2ob2ob2o5b3obo4bo3b3ob2o6b
ob2o2bo12bo2bo14bobo6b2obo3b2o\$55b2o3bobo5bo3bo8bo2b4o2bo16b3o7bo3bob
7o9b2o2bo3b2ob5o5bo5b2o7bo13b3ob3o94b3ob3o13bo7b2o5bo5b5ob2o3bo2b2o9b
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obobo12b2o6bo3b3o4bob2obobo3bobo3b2o2bo9b2o100b2o9bo2b2o3bobo3bobob2ob
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2bobo7bo4bobo9bo3bob3o7bob2o2b3o5bo10bob2o3bo4bo4b2o10b3ob2o28b2o8b2o
16b2o8b2o28b2ob3o10b2o4bo4bo3b2obo10bo5b3o2b2obo7b3obo3bo9bobo4bo7bobo
2bo2bob2ob2o2bo6b2o\$66b2o8b4o3bobo5bo2bo3b2o2bobo2b2o2bo3bo4bo4b3o8b4o
4bobo3b3o7b3o4bobo17b2obo33bo7bobo16bobo7bo33bob2o17bobo4b3o7b3o3bobo
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ob2o2b3o2bobo5bobob3ob3o6b2o4bo7bo9bo7b3ob2obo3bo2bo13bobo2b2o29bo9bo
18bo9bo29b2o2bobo13bo2bo3bob2ob3o7bo9bo7bo4b2o6b3ob3obobo5bobo2b3o2b2o
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b2o5bob3o3bo6bo2bo3b2o2b3o3bobo3b3o9b2ob2obo3b2o96b2o3bob2ob2o9b3o3bob
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31bobo\$65b3o10b2o4b2o2b3o2b3o6bo8bobo5bobo5b2o5b3ob3o7b2o3bo9bob2o5b2o
9b2o2b2o5bo96bo5b2o2b2o9b2o5b2obo9bo3b2o7b3ob3o5b2o5bobo5bobo8bo6b3o2b
3o2b2o4b2o10b3o\$25bobo37b2obo9bo2b2o4bo3bobo2b2o2bo3bo3b2ob3ob3o3b4o2b
o13b2o15bo5bo4b4o10bo3bobo2b2o14bobo64bobo14b2o2bobo3bo10b4o4bo5bo15b
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5b2o3bo3b2obo2bo2bo5bobo4b4o6bo11bob2o9bo2bo2bo3b3o3b3o2bo138bo2b3o3b
3o3bo2bo2bo9b2obo11bo6b4o4bobo5bo2bo2bob2o3bo3b2o5bo12bo7bo\$29bo37bo8b
2o2bo7b4obo9b2o5bobo8bob2o8bo2bo2b3obo8bo6bo5bo3b2obo13b3o108b3o13bob
2o3bo5bo6bo8bob3o2bo2bo8b2obo8bobo5b2o9bob4o7bo2b2o8bo37bo\$59bo7bo9b2o
9b2o3bo11bo2b2obo8bo2bo2bo5bo2b3o4bobo5bo2bobo5b3ob3ob2o4bo7b2obo2bobo
102bobo2bob2o7bo4b2ob3ob3o5bobo2bo5bobo4b3o2bo5bo2bo2bo8bob2o2bo11bo3b
2o9b2o9bo7bo\$29bo15b2o12bo33bobo2b2o4b2o3bo2bo10bo2bo5bo5bo2bob2o3b2o
9bo2bobo2b2o5b3o5bo2b2o5bo100bo5b2o2bo5b3o5b2o2bobo2bo9b2o3b2obo2bo5bo
5bo2bo10bo2bo3b2o4b2o2bobo33bo12b2o15bo\$36bo8bobo30b2o6bobo7b2obo3bo2b
2obobo10bo2bo9b3o2b2o2bo7b3ob2o4bobo2b2o4b2ob2o4bo2bo2bobo2bo10b4o70b
4o10bo2bobo2bo2bo4b2ob2o4b2o2bobo4b2ob3o7bo2b2o2b3o9bo2bo10bobob2o2bo
3bob2o7bobo6b2o30bobo8bo\$35bobo8bo12bo25bob2o6bob2obob4o4bo3b2o5bo2bo
11b2o2bo3b3o6b2o9bobo8bo3bob2o5b3o3bo5bo4bo6b2o26bo4bo26b2o6bo4bo5bo3b
3o5b2obo3bo8bobo9b2o6b3o3bo2b2o11bo2bo5b2o3bo4b4obob2obo6b2obo25bo12bo
8bobo\$31b2o2b2o48b2obo4bob5o4b2obo4b3obo13bo8bobo2bob3obo3bo3bo5bo8bo
4bob2ob3obo3bo8b3o2bo6bobo25bo4bo25bobo6bo2b3o8bo3bob3ob2obo4bo8bo5bo
3bo3bob3obo2bobo8bo13bob3o4bob2o4b5obo4bob2o48b2o2b2o\$11b2o18bobo41b3o
5bo4bo3bo2b2o4b3o3bo2bob2o2bo6b2o5b2obo8bo3bo10bob2o6bobo3b3o3bobobo4b
o2b2o5b2ob2o4bo5bo10bobo13bo4bo13bobo10bo5bo4b2ob2o5b2o2bo4bobobo3b3o
3bobo6b2obo10bo3bo8bob2o5b2o6bo2b2obo2bo3b3o4b2o2bo3bo4bo5b3o41bobo18b
2o\$10b3o19bo42bo6b3o2b2o2b2obo8bo2b2obo5b2o2b2o15bo5bo2bobo4bo5bo8bobo
3b5o3bob2o2bo5bo6bob2o2bobo2bo28bo4bo28bo2bobo2b2obo6bo5bo2b2obo3b5o3b
obo8bo5bo4bobo2bo5bo15b2o2b2o5bob2o2bo8bob2o2b2o2b3o6bo42bo19b3o\$74bo
2b4o8bob4o6b4o3bobob4o2bobo14bobo3bo10bobo2b2o8bo6bob4ob2ob2o17bobo2b
4o62b4o2bobo17b2ob2ob4obo6bo8b2o2bobo10bo3bobo14bobo2b4obobo3b4o6b4obo
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o4b3o62b3o4bo13bo9bo2b4o6bo15bob5o3bobo2bobo14bo8bo3bo3b2o6b3o4b2o2bo
7bo\$17bobo56b3ob4o15b2o2bo2bo5b3o19bo2bobob2o2bo2bo2bo8bobo3b2o2bo2b2o
4bob3o13bobob6o4b2o60b2o4b6obobo13b3obo4b2o2bo2b2o3bobo8bo2bo2bo2b2obo
bo2bo19b3o5bo2bo2b2o15b4ob3o56bobo\$58b2o17b2obo7b2o9b3o3bo2bo4bobobo
18bo4bob2obobo2b2o17b3o7bo2bo11bo3b4o2bo4bobo60bobo4bo2b4o3bo11bo2bo7b
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9bo2bo2b2o2bo18bobob2o2bob2obobo13bo4bo2bo16bo3bo2bo3bo4b3ob3o58b3ob3o
4bo3bo2bo3bo16bo2bo4bo13bobob2obo2b2obobo18bo2b2o2bo2bo9bo8b3o3bobob3o
\$43b3o12b2o20bo4b3ob2o8b2o4b2o2bobo2b2o3bo20bo2bobob3o12b3o4bo5b5o3b3o
4bo2bo2bo2bo3bo6b3o60b3o6bo3bo2bo2bo2bo4b3o3b5o5bo4b3o12b3obobo2bo20bo
3b2o2bobo2b2o4b2o8b2ob3o4bo20b2o12b3o\$43b2o37b2obobobo13b2o4bob2o3bobo
21bobo4b2o14b2obobo6bo2b6o8bo3bob3o2b4obo2b3o22bobo8bobo22b3o2bob4o2b
3obo3bo8b6o2bo6bobob2o14b2o4bobo21bobo3b2obo4b2o13bobobob2o37b2o\$24bo
55bo3b3obo5bo7b2ob2o6bo2bo25b5o16b2o4b2o5bob5ob2o3b2obob2o3bo4bobobo3b
o10bo38bo10bo3bobobo4bo3b2obob2o3b2ob5obo5b2o4b2o16b5o25bo2bo6b2ob2o7b
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o5b2ob3obo21bo14bo21bob3ob2o5bo8bobobo2bo4b2o5bo2b2o20b5o25b2o2bo7bobo
8bo11bo56bobo\$24b2o56b2ob2o7bo7bo2bobo3bo2b4obob2o20bo3b3obo16b2obobo
2bob3o3b3obo3bo9b2o3bobo2bo10bo18b2o18bo10bo2bobo3b2o9bo3bob3o3b3obo2b
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2o7bo2b2o35b2o11bobobobo3b2obo2b2o6bo6bo4bo6bob2o15bobo2bo6b2o6bo2bobo
15b2obo6bo4bo6bo6b2o2bob2o3bobobobo11b2o35b2o2bo7b2ob2o8bo7bo2b2o\$84bo
22bob3o2bo2b4o33b2o17b2obo3bo3bo3b4o3bo2bob2o2b2o3bobo7b2o21b2o21b2o7b
obo3b2o2b2obo2bo3b4o3bo3bo3bob2o17b2o33b4o2bo2b3obo22bo\$18bobo79b3o3b
6o5bo36bo2b2o5bob2o9bo3bo2bo3b3o2bo3b5o2b8o6b2ob2o16bo2b2o2bo16b2ob2o
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2o3bo4bo3b2o2bo7b2o27bob2o2b4obo5bo3b5obo4bo2bo3bo2bob2o6bobo7bo3bo15b
obo4bobo15bo3bo7bobo6b2obo2bo3bo2bo4bob5o3bo5bob4o2b2obo27b2o7bo2b2o3b
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7o2b2ob3o8b2o3bobo4bo3bo8bo2b2o2bo13b2o6b2o13bo2b2o2bo8bo3bo4bobo3b2o
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4bo6bo8bo13bo3bo2b4o2bo7bo3bob6o2b2o19bo9b2ob2o9bo4bobo9b2o2bobobo2bo
2bo3bobo2bo8b3o2bo38bo2b3o8bo2bobo3bo2bo2bobobo2b2o9bobo4bo9b2ob2o9bo
19b2o2b6obo3bo7bo2b4o2bo3bo13bo8bo6bo4bo35bo7bo\$25bobo25bobo36b11o5bob
ob3ob3ob3ob3obobo9bo5bo8bo3bobo6b2o4bo2bo5bo2b2ob6o2bob3o2bo2bo2bo3bob
5obobo10bobo10bobo10bobob5obo3bo2bo2bo2b3obo2b6ob2o2bo5bo2bo4b2o6bobo
3bo8bo5bo9bobob3ob3ob3ob3obobo5b11o36bobo25bobo\$10bo7bo35bo4bo6bo8bo
13bo3bo2b4o2bo7bo3bob6o2b2o19bo9b2ob2o9bo4bobo9b2o2bobobo2bo2bo3bobo2b
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3bo7bo2b4o2bo3bo13bo8bo6bo4bo35bo7bo\$93b3o2b2o2bo7bo4bob3o3bo2b2obo12b
obo11bob2obo2b4ob7o2b2ob3o8b2o3bobo4bo3bo8bo2b2o2bo13b2o6b2o13bo2b2o2b
o8bo3bo4bobo3b2o8b3ob2o2b7ob4o2bob2obo11bobo12bob2o2bo3b3obo4bo7bo2b2o
2b3o\$12bobobo78bo5b2o3bo4bo3b2o2bo7b2o27bob2o2b4obo5bo3b5obo4bo2bo3bo
2bob2o6bobo7bo3bo15bobo4bobo15bo3bo7bobo6b2obo2bo3bo2bo4bob5o3bo5bob4o
2b2obo27b2o7bo2b2o3bo4bo3b2o5bo78bobobo\$18bobo79b3o3b6o5bo36bo2b2o5bob
2o9bo3bo2bo3b3o2bo3b5o2b8o6b2ob2o16bo2b2o2bo16b2ob2o6b8o2b5o3bo2b3o3bo
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o3bo3b4o3bo2bob2o2b2o3bobo7b2o21b2o21b2o7bobo3b2o2b2obo2bo3b4o3bo3bo3b
ob2o17b2o33b4o2bo2b3obo22bo\$82b2o2bo7bo8b2ob2o7bo2b2o35b2o11bobobobo3b
2obo2b2o6bo6bo4bo6bob2o15bobo2bo6b2o6bo2bobo15b2obo6bo4bo6bo6b2o2bob2o
3bobobobo11b2o35b2o2bo7b2ob2o8bo7bo2b2o\$24b2o56b2ob2o7bo7bo2bobo3bo2b
4obob2o20bo3b3obo16b2obobo2bob3o3b3obo3bo9b2o3bobo2bo10bo18b2o18bo10bo
2bobo3b2o9bo3bob3o3b3obo2bobob2o16bob3o3bo20b2obob4o2bo3bobo2bo7bo7b2o
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3obo21bo14bo21bob3ob2o5bo8bobobo2bo4b2o5bo2b2o20b5o25b2o2bo7bobo8bo11b
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3bo4bobobo3bo10bo38bo10bo3bobobo4bo3b2obob2o3b2ob5obo5b2o4b2o16b5o25bo
2bo6b2ob2o7bo5bob3o3bo55bo\$43b2o37b2obobobo13b2o4bob2o3bobo21bobo4b2o
14b2obobo6bo2b6o8bo3bob3o2b4obo2b3o22bobo8bobo22b3o2bob4o2b3obo3bo8b6o
2bo6bobob2o14b2o4bobo21bobo3b2obo4b2o13bobobob2o37b2o\$43b3o12b2o20bo4b
3ob2o8b2o4b2o2bobo2b2o3bo20bo2bobob3o12b3o4bo5b5o3b3o4bo2bo2bo2bo3bo6b
3o60b3o6bo3bo2bo2bo2bo4b3o3b5o5bo4b3o12b3obobo2bo20bo3b2o2bobo2b2o4b2o
8b2ob3o4bo20b2o12b3o\$77b3obobo3b3o8bo9bo2bo2b2o2bo18bobob2o2bob2obobo
13bo4bo2bo16bo3bo2bo3bo4b3ob3o58b3ob3o4bo3bo2bo3bo16bo2bo4bo13bobob2ob
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bo18bo4bob2obobo2b2o17b3o7bo2bo11bo3b4o2bo4bobo60bobo4bo2b4o3bo11bo2bo
7b3o17b2o2bobob2obo4bo18bobobo4bo2bo3b3o9b2o7bob2o17b2o\$17bobo56b3ob4o
15b2o2bo2bo5b3o19bo2bobob2o2bo2bo2bo8bobo3b2o2bo2b2o4bob3o13bobob6o4b
2o60b2o4b6obobo13b3obo4b2o2bo2b2o3bobo8bo2bo2bo2b2obobo2bo19b3o5bo2bo
2b2o15b4ob3o56bobo\$75bo7bo2b2o4b3o6b2o3bo3bo8bo14bobo2bobo3b5obo15bo6b
4o2bo9bo13bo4b3o62b3o4bo13bo9bo2b4o6bo15bob5o3bobo2bobo14bo8bo3bo3b2o
6b3o4b2o2bo7bo\$74bo2b4o8bob4o6b4o3bobob4o2bobo14bobo3bo10bobo2b2o8bo6b
ob4ob2ob2o17bobo2b4o62b4o2bobo17b2ob2ob4obo6bo8b2o2bobo10bo3bobo14bobo
2b4obobo3b4o6b4obo8b4o2bo\$10b3o19bo42bo6b3o2b2o2b2obo8bo2b2obo5b2o2b2o
15bo5bo2bobo4bo5bo8bobo3b5o3bob2o2bo5bo6bob2o2bobo2bo28bo4bo28bo2bobo
2b2obo6bo5bo2b2obo3b5o3bobo8bo5bo4bobo2bo5bo15b2o2b2o5bob2o2bo8bob2o2b
2o2b3o6bo42bo19b3o\$11b2o18bobo41b3o5bo4bo3bo2b2o4b3o3bo2bob2o2bo6b2o5b
2obo8bo3bo10bob2o6bobo3b3o3bobobo4bo2b2o5b2ob2o4bo5bo10bobo13bo4bo13bo
bo10bo5bo4b2ob2o5b2o2bo4bobobo3b3o3bobo6b2obo10bo3bo8bob2o5b2o6bo2b2ob
o2bo3b3o4b2o2bo3bo4bo5b3o41bobo18b2o\$31b2o2b2o48b2obo4bob5o4b2obo4b3ob
o13bo8bobo2bob3obo3bo3bo5bo8bo4bob2ob3obo3bo8b3o2bo6bobo25bo4bo25bobo
6bo2b3o8bo3bob3ob2obo4bo8bo5bo3bo3bob3obo2bobo8bo13bob3o4bob2o4b5obo4b
ob2o48b2o2b2o\$35bobo8bo12bo25bob2o6bob2obob4o4bo3b2o5bo2bo11b2o2bo3b3o
6b2o9bobo8bo3bob2o5b3o3bo5bo4bo6b2o26bo4bo26b2o6bo4bo5bo3b3o5b2obo3bo
8bobo9b2o6b3o3bo2b2o11bo2bo5b2o3bo4b4obob2obo6b2obo25bo12bo8bobo\$36bo
8bobo30b2o6bobo7b2obo3bo2b2obobo10bo2bo9b3o2b2o2bo7b3ob2o4bobo2b2o4b2o
b2o4bo2bo2bobo2bo10b4o70b4o10bo2bobo2bo2bo4b2ob2o4b2o2bobo4b2ob3o7bo2b
2o2b3o9bo2bo10bobob2o2bo3bob2o7bobo6b2o30bobo8bo\$29bo15b2o12bo33bobo2b
2o4b2o3bo2bo10bo2bo5bo5bo2bob2o3b2o9bo2bobo2b2o5b3o5bo2b2o5bo100bo5b2o
2bo5b3o5b2o2bobo2bo9b2o3b2obo2bo5bo5bo2bo10bo2bo3b2o4b2o2bobo33bo12b2o
15bo\$59bo7bo9b2o9b2o3bo11bo2b2obo8bo2bo2bo5bo2b3o4bobo5bo2bobo5b3ob3ob
2o4bo7b2obo2bobo102bobo2bob2o7bo4b2ob3ob3o5bobo2bo5bobo4b3o2bo5bo2bo2b
o8bob2o2bo11bo3b2o9b2o9bo7bo\$29bo37bo8b2o2bo7b4obo9b2o5bobo8bob2o8bo2b
o2b3obo8bo6bo5bo3b2obo13b3o108b3o13bob2o3bo5bo6bo8bob3o2bo2bo8b2obo8bo
bo5b2o9bob4o7bo2b2o8bo37bo\$59bo7bo12bo5b2o3bo3b2obo2bo2bo5bobo4b4o6bo
11bob2o9bo2bo2bo3b3o3b3o2bo138bo2b3o3b3o3bo2bo2bo9b2obo11bo6b4o4bobo5b
o2bo2bob2o3bo3b2o5bo12bo7bo\$25bobo37b2obo9bo2b2o4bo3bobo2b2o2bo3bo3b2o
b3ob3o3b4o2bo13b2o15bo5bo4b4o10bo3bobo2b2o14bobo64bobo14b2o2bobo3bo10b
4o4bo5bo15b2o13bo2b4o3b3ob3ob2o3bo3bo2b2o2bobo3bo4b2o2bo9bob2o37bobo\$
65b3o10b2o4b2o2b3o2b3o6bo8bobo5bobo5b2o5b3ob3o7b2o3bo9bob2o5b2o9b2o2b
2o5bo96bo5b2o2b2o9b2o5b2obo9bo3b2o7b3ob3o5b2o5bobo5bobo8bo6b3o2b3o2b2o
4b2o10b3o\$31bobo31b2obo6b2ob2o9bo3b5o2bo2bo4bo2bobob2ob3ob3ob2o5bob3o
3bo6bo2bo3b2o2b3o3bobo3b3o9b2ob2obo3b2o96b2o3bob2ob2o9b3o3bobo3b3o2b2o
3bo2bo6bo3b3obo5b2ob3ob3ob2obobo2bo4bo2bo2b5o3bo9b2ob2o6bob2o31bobo\$
65bob2o6b2o3bo3b2o5bob2o2b3o2bobo5bobob3ob3o6b2o4bo7bo9bo7b3ob2obo3bo
2bo13bobo2b2o29bo9bo18bo9bo29b2o2bobo13bo2bo3bob2ob3o7bo9bo7bo4b2o6b3o
b3obobo5bobo2b3o2b2obo5b2o3bo3b2o6b2obo\$66b2o8b4o3bobo5bo2bo3b2o2bobo
2b2o2bo3bo4bo4b3o8b4o4bobo3b3o7b3o4bobo17b2obo33bo7bobo16bobo7bo33bob
2o17bobo4b3o7b3o3bobo4b4o8b3o4bo4bo3bo2b2o2bobo2b2o3bo2bo5bobo3b4o8b2o
\$69b2o6bo2b2ob2obo2bo2bobo7bo4bobo9bo3bob3o7bob2o2b3o5bo10bob2o3bo4bo
4b2o10b3ob2o28b2o8b2o16b2o8b2o28b2ob3o10b2o4bo4bo3b2obo10bo5b3o2b2obo
7b3obo3bo9bobo4bo7bobo2bo2bob2ob2o2bo6b2o\$56bo11b2obo8bo3bob5o3b2o11b
3o14bobobo12b2o6bo3b3o4bob2obobo3bobo3b2o2bo9b2o100b2o9bo2b2o3bobo3bob
ob2obo4b3o3bo6b2o12bobobo14b3o11b2o3b5obo3bo8bob2o11bo\$55b2o3bobo5bo3b
o8bo2b4o2bo16b3o7bo3bob7o9b2o2bo3b2ob5o5bo5b2o7bo13b3ob3o94b3ob3o13bo
7b2o5bo5b5ob2o3bo2b2o9b7obo3bo7b3o16bo2b4o2bo8bo3bo5bobo3b2o\$54b2o3bob
2o6bobo14bo2bo12bo2b2obo6b2ob3o3bo4bob3o5b2ob2ob2o5bo2bo3b3o4bo3b2o2b
3obo2bobo3b2o2bob2o46bo2bo46b2obo2b2o3bobo2bob3o2b2o3bo4b3o3bo2bo5b2ob
2ob2o5b3obo4bo3b3ob2o6bob2o2bo12bo2bo14bobo6b2obo3b2o\$54bobobobobo7bo
12b3o3b3o15bo7b3ob2o3bo6b3o13b3obo3b2o9bo7b4o2bo2bo3bo4b2o98b2o4bo3bo
2bo2b4o7bo9b2o3bob3o13b3o6bo3b2ob3o7bo15b3o3b3o12bo7bobobobobo\$52bo2bo
2b3o2bo23bo2bo10bo2b3o7bobob2obo6b2o3bo3b2o2bo2bo2bo2bo4b3o9bo13bo7b2o
b2o47bo2bo47b2ob2o7bo13bo9b3o4bo2bo2bo2bo2b2o3bo3b2o6bob2obobo7b3o2bo
10bo2bo23bo2b3o2bo2bo\$51bob3o3bo2bo23bo2bo9bo2b2o9b2o5b2o8b2o4bo6b3o3b
2o2b2ob2ob3o5bob2o8b2o8bobo2b2o94b2o2bobo8b2o8b2obo5b3ob2ob2o2b2o3b3o
6bo4b2o8b2o5b2o9b2o2bo9bo2bo23bo2bo3b3obo\$50bo5b2o2bobobo24bo3bo5bo3bo
b2o6b2o5bob2o5bobo7b4o2bo4b2o7bo2bo8b2obo2b3o6bobo4b2o96b2o4bobo6b3o2b
ob2o8bo2bo7b2o4bo2b4o7bobo5b2obo5b2o6b2obo3bo5bo3bo24bobobo2b2o5bo\$51b
o4bo2b2o2b3o21bo9bo7bobo5b5o2b2obo6bo4bo2bo6bo2bo3bo7bo11b4o11bobo106b
obo11b4o11bo7bo3bo2bo6bo2bo4bo6bob2o2b5o5bobo7bo9bo21b3o2b2o2bo4bo\$37b
o16bo4b3ob3o21b2o4bo2b2o2b2obo11b2o3bobobo2bo7b3o5b2ob7o3bo6bo8b6o4bo
3bo2b2o18b3o62b3o18b2o2bo3bo4b6o8bo6bo3b7ob2o5b3o7bo2bobobo3b2o11bob2o
2b2o2bo4b2o21b3ob3o4bo16bo\$37b2o12bobobobo4b2ob2o20b2ob2o4b2o3bo2b2o2b
o4b2obobo4bo11b3o5bo2b5o3bob2o4bo12bo5b4o24b2o64b2o24b4o5bo12bo4b2obo
3b5o2bo5b3o11bo4bobob2o4bo2b2o2bo3b2o4b2ob2o20b2ob2o4bobobobo12b2o\$37b
2o13b2obob2obobobo3b2o17bo3bo4b2ob2o7bo5bo3bo3bobobo3bo5bo2b2o2b2o3b7o
bo4b2o2bo15b7o2bo104bo2b7o15bo2b2o4bob7o3b2o2b2o2bo5bo3bobobo3bo3bo5bo
7b2ob2o4bo3bo17b2o3bobobob2obob2o13b2o\$54bo4b2obo4b4o13bo3bo2bo6bobo5b
3o9bo3bobob3o2bo4bo2bobob2o9bo6b2o19bobobob3o104b3obobobo19b2o6bo9b2ob
obo2bo4bo2b3obobo3bo9b3o5bobo6bo2bo3bo13b4o4bob2o4bo\$54bo2bo2b2o3bo5bo
12b4o5bo5bo5b3o2bo3bob2o2bobo5bo2bo4bo7b2o11bo5bo20bo2b2o26bobo50bobo
26b2o2bo20bo5bo11b2o7bo4bo2bo5bobo2b2obo3bo2b3o5bo5bo5b4o12bo5bo3b2o2b
o2bo\$56bobobob2o7bo12bo3bobob2o11b2ob3obobobobo3bobobo2b3o2bo4b3o18bo
3bo156bo3bo18b3o4bo2b3o2bobobo3bobobobob3ob2o11b2obobo3bo12bo7b2obobob
o\$22bo2bo36bobob2o3bo9bo2bobo2bob2obo8b2o2bo2bobo4b2o7bo4bo15bo7bo4b2o
22b3o112b3o22b2o4bo7bo15bo4bo7b2o4bobo2bo2b2o8bob2obo2bobo2bo9bo3b2obo
bo36bo2bo\$21b3ob2o35bo2bo2bo11bo6bo2bo2bo3b3o2b5o2bobobo2bo2b2ob6o2b2o
14bob2o12bo22b2o16bobo74bobo16b2o22bo12b2obo14b2o2b6ob2o2bo2bobobo2b5o
2b3o3bo2bo2bo6bo11bo2bo2bo35b2ob3o\$20bobo38b3o4bo11bobo2b6o7b2o6b2ob2o
5b4obob5o2bo2bob2o9bob2o6b2o2bo164bo2b2o6b2obo9b2obo2bo2b5obob4o5b2ob
2o6b2o7b6o2bobo11bo4b3o38bobo\$20b2ob2o60bo2b4o3b2o3bo4b2o2bo5b2o5bo6bo
2bo3bo4b3o3b3o2b2o3b4o164b4o3b2o2b3o3b3o4bo3bo2bo6bo5b2o5bo2b2o4bo3b2o
3b4o2bo60b2ob2o\$21b2o14bobo14bo21bo4bo2b2ob2o5b3o3bo3b4obo4b2ob4o8b3o
9b4o7bobo3bo168bo3bobo7b4o9b3o8b4ob2o4bob4o3bo3b3o5b2ob2o2bo4bo21bo14b
obo14b2o\$19bo18b2o12b2obo25b5ob3o14b3o5b2obo2bo10b3o3bo4bo2b3o194b3o2b
o4bo3b3o10bo2bob2o5b3o14b3ob5o25bob2o12b2o18bo\$18b4o14bo9b2obo3bob2o
19bo9bob2ob2o6bo2b4o2bobob2obo14bo3b2o3b3o3b2o192b2o3b3o3b2o3bo14bob2o
bobo2b4o2bo6b2ob2obo9bo19b2obo3bob2o9bo14b4o\$16b2o3bo8bobo6bo3bobo3bo
5bo27b5o3bobo5b2obob2ob3ob5o12bob2o2b2o4b3o2bo194bo2b3o4b2o2b2obo12b5o
b3ob2obob2o5bobo3b5o27bo5bo3bobo3bo6bobo8bo3b2o\$16bo3bo8b8o3bo5bobo6b
2o28bo5bo2bo4b3o2b2o4bo18bo2b2o218b2o2bo18bo4b2o2b3o4bo2bo5bo28b2o6bob
o5bo3b8o8bo3bo\$16b4o13b2o2b2obo2bobo2b3o2b3o35bob2o4b4o16bo10b2o2bob2o
210b2obo2b2o10bo16b4o4b2obo35b3o2b3o2bobo2bob2o2b2o13b4o\$28b2obobo7bo
5bo2bobobo39bobo8bo8bo3bobo8b2o5b2o81bo46bo81b2o5b2o8bobo3bo8bo8bobo
39bobobo2bo5bo7bobob2o\$18b3o6bo5bo2b2ob2o2bo3b2o2b2o2bo22bo10bo3b2o2bo
4bo2bo2b2o3b2obo3bob2o6b5o3bo80bo46bo80bo3b5o6b2obo3bob2o3b2o2bo2bo4bo
2b2o3bo10bo22bo2b2o2b2o3bo2b2ob2o2bo5bo6b3o\$19bo8b6ob2o3bo2bob3o3b2obo
b3o18bobo8b3o3b2o2b2o13b2ob2obob3o3b2o8b2obo78bo46bo78bob2o8b2o3b3obob
2ob2o13b2o2b2o3b3o8bobo18b3obob2o3b3obo2bo3b2ob6o8bo\$19b2obo7bo2bob2o
7b4o30bo8b2o2bo4b5ob3obob2o8bo5bo3bo4bo85bo46bo85bo4bo3bo5bo8b2obob3ob
5o4bo2b2o8bo30b4o7b2obo2bo7bob2o\$20b2o12bo5bob2o4bo2b2obo3bobo26b2ob2o
bo7bo4b2o9bobo2b5o2bo2bo4bo26bobo55bo40bo55bobo26bo4bo2bo2b5o2bobo9b2o
4bo7bob2ob2o26bobo3bob2o2bo4b2obo5bo12b2o\$34bo6bob3o2bo2bo2bob4o27b2ob
ob3ob4obo15b2o6bobob2obo2bob2o208b2obo2bob2obobo6b2o15bob4ob3obob2o27b
4obo2bo2bo2b3obo6bo\$36bo7b2o2bo4bo41bob2obo2b4obo17bo6b3o2bo83bo40bo
83bo2b3o6bo17bob4o2bob2obo41bo4bo2b2o7bo\$39bobo2bo3bo5bobob3o28b3o3bob
ob2o4b2o3bo18bo2bob3o65bo32bo14bo32bo65b3obo2bo18bo3b2o4b2obobo3b3o28b
3obobo5bo3bo2bobo\$34b2o3b3o3bobo4bobo35b2obobo2bo4b2o3b3o18b2o2bo2bo
64bobo31bo14bo31bobo64bo2bo2b2o18b3o3b2o4bo2bobob2o35bobo4bobo3b3o3b2o
\$33b2o2b2ob4o4bobo3bo3b4o4b3obo25bo6bo28bobo67b2o31bo14bo31b2o67bobo
28bo6bo25bob3o4b4o3bo3bobo4b4ob2o2b2o\$32b2ob2ob2o3b2o2bo3b4o4b2o3bo2b
3ob2o21b2o6b2obo21bo5bo38bobo60bo14bo60bobo38bo5bo21bob2o6b2o21b2ob3o
2bo3b2o4b4o3bo2b2o3b2ob2ob2o\$34bo8b2o8bo5bobo3b2ob3ob3o20bo6bo26b2o2bo
62bo92bo62bo2b2o26bo6bo20b3ob3ob2o3bobo5bo8b2o8bo\$31b2ob2o7b2obo14bobo
bobob4obo28bo23b2obo224bob2o23bo28bob4obobobobo14bob2o7b2ob2o\$33b3o2b
3o2b4o2b2o3b2o4bo2b2ob2o6bo53b2ob2o63bo92bo63b2ob2o53bo6b2ob2o2bo4b2o
3b2o2b4o2b3o2b3o\$33b5ob2o3b2obo2bo4bo3b4obo2bo36b4o22bo33b2o154b2o33bo
22b4o36bo2bob4o3bo4bo2bob2o3b2ob5o\$33bo3b2o10bo4bo5bo2bo8bo25b2o3b3ob
2o15bo7bo31bobo152bobo31bo7bo15b2ob3o3b2o25bo8bo2bo5bo4bo10b2o3bo\$48bo
10bo2b3ob2ob2o28bo4bobo58bo154bo58bobo4bo28b2ob2ob3o2bo10bo\$32b2o4b3o
19b2ob2o2bo4b2o23b3ob2o2bo2b2o14bo6b3o35bobo142bobo35b3o6bo14b2o2bo2b
2ob3o23b2o4bo2b2ob2o19b3o4b2o\$32bobo2bo3bob2o15b2ob2o6b3o26b2obo3b4o8b
o2bo8b2o220b2o8bo2bo8b4o3bob2o26b3o6b2ob2o15b2obo3bo2bobo\$33b2o3bob2ob
obo4bobo8bobo12bobo21bobo2bo2b2o50bobo160bobo50b2o2bo2bobo21bobo12bobo
8bobo4bobob2obo3b2o\$31bobob2o3b6o5bobo6bo3bo38bobo2b2o9bo2bo5b2o226b2o
5bo2bo9b2o2bobo38bo3bo6bobo5b6o3b2obobo\$34bo3b3o2b3o6bo7b2o4bo38bo274b
o38bo4b2o7bo6b3o2b3o3bo\$33bo3bobobobo6b2o2b2o3b6o2bo36bob2o20b2o19bo
52bobo76bobo52bo19b2o20b2obo36bo2b6o3b2o2b2o6bobobobo3bo\$34bo2b2obo6bo
b2o9bo2b2o22b2o14bo3bo270bo3bo14b2o22b2o2bo9b2obo6bob2o2bo\$35bo2b2o7bo
b2ob2o5bobo24b3o15b3o11b2o29bo186bo29b2o11b3o15b3o24bobo5b2ob2obo7b2o
2bo\$52bo7bo57bobo244bobo57bo7bo\$38b2o9b2ob3o64b2o66bobo106bobo66b2o64b
3ob2o9b2o\$37b3o14b2o53bobo75b2o108b2o75bobo53b2o14b3o\$37b3o10bob2o158b
2o58b2o158b2obo10b3o\$37bo2b2ob2o10b2o128bo26bobo56bobo26bo128b2o10b2ob
2o2bo\$38bo2b2o12bo157bo58bo157bo12b2o2bo\$37bo2bo13b2obo17bo93b4o12bo
114bo12b4o93bo17bob2o13bo2bo\$38bobobo9bo2bo2b2o4bo27b4o100bobo88bobo
100b4o27bo4b2o2bo2bo9bobobo\$39bobo10bo5b2o3bo11bo66bobo82bo30bo82bobo
66bo11bo3b2o5bo10bobo\$40bobo7b3o2b2obo4b2o18b2o316b2o18b2o4bob2o2b3o7b
obo\$40bobo7b3o6bo22bobo51b4o21bo34bobo28bo30bo28bobo34bo21b4o51bobo22b
o6b3o7bobo\$39bobobo6bo2b2obobo101bobo64bo30bo64bobo101bobob2o2bo6bobob
o\$40bo2bo7b3o3bo20bo82b2o160b2o82bo20bo3b3o7bo2bo\$43b2o8b5o127b2o40bo
30bo40b2o127b5o8b2o\$41bo2b2o32bo105bobo4b2o9bobo9bo56bo9bobo9b2o4bobo
105bo32b2o2bo\$41b4ob3o165bo56bo165b3ob4o\$43bo4bo115bo26b2o21bo56bo21b
2o26bo115bo4bo\$41bo2b3obo114bobo42bobo3bo56bo3bobo42bobo114bob3o2bo\$
39b2o5bo6bo110b2o16bo120bo16b2o110bo6bo5b2o\$39b2o3bobo121bobo144bobo
121bobo3b2o\$41b2o2bo7bo128bo7bobo100bobo7bo128bo7bo2b2o\$41bo161bobo74b
obo161bo\$49b3o382b3o\$49b3o382b3o\$47bo2b2o183b2o12b2o183b2o2bo\$47bobo
184bobo12bobo184bobo\$44b3o188bo14bo188b3o\$48bo388bo\$48bob2o147b2o84b2o
147b2obo\$49b3o147b2o17b4o42b4o17b2o147b3o\$49bo150bo23bobo32bobo23bo
150bo6\$224bobo32bobo5\$230bo24bo2\$230bo24bo\$234bo16bo\$241b4o\$234bo16bo\$
230bo24bo2\$230bo24bo!
``````
EDIT: The smallest "seed" of this chaos I have found so far is shown below. Luckily, this effect never shows in C1 soup searches, because it breaks down into stability if it hits any asymmetry (as an example, try drawing some random asymmetry in the reaction cloud after running the pattern for, say, 100k generations).

Code: Select all

``````x = 9, y = 4, rule = B2c3-cekq4ikt5i8/S2-in3-acky4aijry5eiky6i
3bobo\$2obobob2o\$o7bo\$2o5b2o!
``````
EDIT 2: Here is a population plot of the above small "seed", for 500'000 generations. The overall growth appears to be roughly linear but remains irregular and aperiodic throughout the time simulated.

Code: Select all

``````x = 563, y = 536, rule = B3/S23
269b3o2bo6b3o2b4o2b4o3b3o3b3o2b4o2b4o\$268bo3bobo7bo3bo3bobo3bobo3bobo
3bobo3bobo3bo\$268bo5bo7bo3bo3bobo3bobo3bobo3bobo3bobo3bo\$268bo5bo7bo3b
4o2b4o2bo3bob5ob4o2bo3bo\$268bo5bo7bo3bo5bo3bobo3bobo3bobo2bo2bo3bo\$
268bo3bobo7bo3bo5bo3bobo3bobo3bobo3bobo3bo\$269b3o2b5o2b3o2bo5b4o3b3o2b
o3bobo3bob4o8\$b3o4bo4b3o3b3o2b5o2b3o\$o3bo2b2o3bo3bobo5bo5bo3bo\$4bo3bo
7bobo5bo5bo3bo\$2b2o4bo6bo2b4o3b3o3b4o10bo494bo\$4bo3bo5bo3bo3bo5bo5bo
10bo494bo\$o3bo3bo4bo4bo3bobo3bo5bo10bo494bo\$b3o3b3o2b5o2b3o3b3o3b3o11b
o494bo\$45bo494bo\$45bo494bo\$45bo494bo\$45bo494bo\$45bo494bo\$45bo494bo\$45b
o494bo\$45bo494bo\$45bo494bo\$45bo493b3o\$45bo493b3o\$45bo493b3o\$45bo493b3o
\$45bo493b3o\$45bo493b3o\$45bo493b3o\$45bo492b4o\$45bo492b4o\$45bo492b4o\$45b
o492b4o\$45bo492b4o\$45bo492b4o\$45bo492b4o\$45bo492b4o\$45bo492b4o\$45bo
492b2obo\$45bo480bo11b2obo\$45bo480bo11b2obo\$45bo480bo11b2ob3o\$45bo480bo
11b2ob4o\$45bo480bo11b2ob4o\$45bo479b2o7bo3b2ob4o\$45bo479b2o7bo3b2ob4o\$
45bo479b2o7b2o2b2o2b3o\$45bo479b2o7b2o2bo3b3o\$45bo479b3o6b2ob2o3b3o\$45b
o479b3o6b2ob2o3b3o\$45bo479b3o6b5o3b3o\$45bo478b4o6b5o3b3o\$45bo478b4o6b
5o3b3o\$45bo478b4o6b5o3b3o\$45bo478b4o6b5o3b3o\$45bo478b4o6b5o3b4o\$45bo
478b4o6b5o3b3o\$45bo478b4o6b5o3b3o\$45bo478b4o6b5o3b3o\$45bo478b4o6b4o4b
3o\$45bo477b5o6b4o4b3o\$45bo477b5o6b4o4b3o\$45bo477b5o6b4o5b2o\$45bo477b5o
6b4o5b2o\$45bo477b6o5b4o5b2o\$45bo477b2ob4o4b4o6bo\$45bo477b2ob4o4b4o6bo\$
45bo477b2ob4o4b4o6bo\$45bo477b2ob4o3b3obo6bo\$45bo476b3ob4o3b3o8bo\$45bo
472bo3b3ob4o3b3o\$45bo472bo3b3ob4o3b3o\$45bo472bo3b3ob4o3b3o\$45bo472bo3b
3ob4o3b2o\$45bo472b2o2b3o2b3o3b2o\$45bo472b2o2b3o2b3o3b2o\$45bo472b2o2b3o
2b3o3bo\$45bo472b2o2bobo2b3o3bo\$45bo462bo9b3obobo2b3o3bo\$45bo458bo3bo9b
3obobo2b3obobo\$45bo458bo3bo7b5obobo4bob3o\$45bo458bo3bo7b5obobo4bob3o\$
45bo458bo3bo7b7obo4bob3o\$45bo458bo3bo7b7obo4bob3o\$45bo458bo3b2o6b7obo
4bob3o\$45bo458bo3b2o6b7obo4bob3o\$45bo454bo3bo3b2o6b7obo4bob3o\$45bo454b
o3bo2b3o6b7obo4bob3o\$45bo454bo3bo2b3o6b7obo4bob3o\$45bo454bo3bo2b4o4b8o
bo4bob3o\$45bo454bo3bo2b4o4b8obo4bob3o\$45bo454bo2b3ob4o4b8o6bob3o\$45bo
402bo51bo2b3ob4o4b8o6bob3o\$45bo402bo51bo2b3ob4o4b3ob3o7bob3o\$45bo402bo
50b3ob3obob2o4b2o2b3o7bob3o\$45bo402bo50b3ob3obob2o4b2o2b3o7bob2o\$45bo
402bo50b3ob3obob2o4b2o2b3o7bob2o\$45bo402bo13bo34bob3ob3obob3o3b2o2b3o
7bob2o\$45bo402b2o12bo34bob3ob3obob3o2b3o2b3o7bob2o\$45bo402b2o12bo34bob
7obo2b3ob3o2b3o7b4o\$45bo402b2o12bo34bob7obo2b3ob3o2b3o7b4o\$45bo402b2o
12bo34bobob7o2b7o3b2o7b4o\$45bo402b2o12bo34bobob7o2b7o12b4o\$45bo402b2o
12bo34bobob7o2b6o13b3o\$45bo402b2o12bo34bobob3ob3o2b6o13b3o\$45bo402b2o
11b2o20bo13b3ob3ob3o2b6o13b2o\$45bo401b3o11b2o13bo6bo13b3ob3ob3o2b6o13b
2o\$45bo401b4o10b2o12b2o6bo12b4ob3ob3o2b6o13b2o\$45bo401b4o10b2o12b2o6bo
12b4ob3ob3o2b6o13b2o\$45bo401b4o3bo6b2o12b2o6bo12b4ob3o2b2o2b6o13b2o\$
45bo401b4o3bo6b2o12b2o6bo12b4ob3o2b2o2b6o13b2o\$45bo401b4o3b2o5b2o12b2o
6bobo10b4ob3o2b2o2b6o14bo\$45bo401b4o3b2o5b3o11b2o6bobo10b4ob3o2b2o2b6o
14bo\$45bo401b4o3b2o5b3o11b2o6bobo10b4ob3o2b2o2b5o15bo\$45bo401b4o3b2o5b
3o11b2o5b5o9b4o2b2o2b2o2b5o15bo\$45bo401b4o3b2o4b4o11b2o5b5o9b4o2b2o2b
2o4b3o15bo\$45bo401b5o2b2o4b4o6b2o3b2o5b5o9b4o2bo3b2o4b3o15bo\$45bo401bo
2b2o2b2o3b5o6b2o2b3o5b5o9b4o6bo5b3o15bo\$45bo401bo2b2o2b3o2b5o6b2o2b3o
5b5o8b4o7bo5b3o15bo\$45bo399bobo2b2o2b3ob4obo6b2o2b3o5b5o8b4o7bo6bo16bo
\$45bo399bobo2b2o2b3ob4obo6b2o2b3o5b5o8b4o7bo6bo16bo\$45bo399bobo2b2o2b
3ob4obo6b2o2b3o5b5o8b3o8bo6bo16bo\$45bo399bobo2b2o2b3ob4obo6b2ob4o5b5o
2bo5b3o8bo6bo\$45bo399bobo2b2o2b3ob4obo6b2ob4o5b5o2bo5b3o15bo\$45bo399bo
bo2b2o2b3ob4obo6b2ob4obo3b3ob2obo5b3o15bo\$45bo399b3o2b2o2b8obo6b7obo3b
3ob2obo5b2o16bo\$45bo399b3o2b2o2b8obo6b7obo3b3ob2obo2bo2b2o16bo\$45bo
399b3o2b2o2b8ob2o5b5obob2o2b3ob2obo2bo2b2o16bo\$45bo393bo5b3o2b2ob9ob2o
5b5obob2o2b3ob2obob2o2b2o\$45bo393b2o4b3o2b12ob2o5b5obob2o2b3ob2obob2o
2b2o\$45bo393b2o4b3o2b11o2b2o5b5obob2o2b3ob2obob2o2b2o\$45bo393b2o3b4o2b
11o2b2o5b5obob2o2b3ob7o2b2o\$45bo392b3o2b5o2b11o2b3o3b6obob2o2b3ob7o2bo
\$45bo392b3o2b5o2b11o2b3o3b6obob2o2b3ob7ob2o\$45bo392b3o2b5o2b4ob6o2b3o
2b2o2b3obob2o2b3ob7ob2o\$45bo392b4ob5o2b4ob6o3b2o2b2o2b3ob4o2bobob10o\$
45bo392b4ob5o2b4ob5o4b2o2b2o2b3ob4o2bobob10o\$45bo354bo37b4ob5o2b4o3b2o
5b2o2b2o2b3ob4o2bo3b10o\$45bo354bo37b4ob5o2b4o3b2o5b2ob3o2b3ob4o2bo3b
10o\$45bo354bo37b4ob5o2bob2o3b2o5b2ob3o2b3ob4ob2o3b10o\$45bo354bo37b4ob
4o3bob2o3b2o5b6o2b3ob4ob2o4b9o\$45bo354bo37b9o3bob2o3b2o5b6o2b3ob4ob2o
4b9o\$45bo354b2o36b9o5b2o3b2o5b6o2b3ob4ob2o5b8o\$45bo354b2o36b9o5b2o3b2o
5b6o2b3ob7o5b8o\$45bo354b2o36b9o5b2o3b2o5b6o2b2o2b7o5b8o\$45bo354b2o36b
9o5b2o3b2o5b6o2b2o2b7o5b7o\$45bo354b2o36b9o5b2o3b2o5b6o2b2o3b6o5b7o\$45b
o354b2o36bob6o6b2o3b2o5b4obo2b2o3b6o5bob5o\$45bo354b2o36bob6o6bo4bo6b4o
4b2o3b5o6bob2obo\$45bo353b3o36bob6o6bo4bo6b4o4b2o3bob3o6bob2obo\$45bo
353b3o36bob4obo18b4o4bo4bob3o6bob2obo\$45bo353b3o35b2o2b3obo18b4o4bo4bo
b3o6bobo2bo\$45bo353b3o34b3o2b3obo18b4o4bo4bob3o6bo4bo\$45bo353b3o34b3o
2b3obo19b3o4bo6b3o11bo\$45bo353b3o34b3o2b2o2bo19b3o11b3o\$45bo352b4o34b
3o2b2o2bo19bobo11b3o\$45bo352b4o34b3o2b2o22bo13b3o\$45bo352b4o34b3o2b2o
22bo13b3o\$45bo352b4o34b3o2b2o22bo13b3o\$45bo351b5o34b3o2b2o22bo13b3o\$
45bo351b5o34b2o3b2o22bo13b3o\$45bo351b5o34b2o3b2o37b2o\$45bo351b5o34b2o
3b2o37b2o\$45bo351b5o34b2o3b2o37b2o\$45bo351b5o34b2o4bo37b2o\$45bo350b6o
32bob2o43bo\$45bo350b6o32bob2o43bo\$45bo350b6o32bob2o43bo\$45bo350b6o32bo
b2o43bo\$45bo349b7o32b4o\$45bo349b4ob2o32b3o\$45bo349b4o2bo32b3o\$45bo349b
4o2bo32b3o\$45bo349b4o2bo31b4o\$45bo349b4o2bo31b4o\$45bo347b6o2bo31b4o\$
45bo347b5o3bo6bo24b4o\$45bo347b5o3bo6bo24b4o\$45bo347b5o3bo6bo24b4o\$45bo
347b4o4b2o5bo24b4o\$45bo347b4o4b2o5bo24b3o\$45bo347b4o4b2o5bo24b3o\$45bo
347b4o4b2o5bo19b2o3b3o\$45bo346b5o4b2o5b2o18b2o2b4o\$45bo346b5o4b2o5b2o
7b2o9b2o2b4o\$45bo346b5o4b2o5b2o7b2o5bo3b2o2b2obo\$45bo346b3obo4b2o5b2o
7b2o5bo3b2o2b2o\$45bo346b3obo4b2o5b2o6b3o5bo3b2o2b2o\$45bo312bo33b3obo5b
o5b2o6b3o5bo3b2o2b2o\$45bo311b2o33b3obo5bo5b2o6b3o5b2o2b2o2b2o\$45bo311b
2o33b3obo5bo5b2o6b4o4b3ob2o2b2o\$45bo311b2o33b3obo5bo4b3o6b4o3b4ob2o2b
2o\$45bo311b2o33b3obo5bo4b3o6b5o2b4ob2o2b2o\$45bo311b3o32b3o7bo4b3o5b6o
2b4ob2o2b2o\$45bo311b3o22bo9b3o7b2o3b3o5b6o2b4ob3ob2o\$45bo311b4o21bo9b
3o7b2o2b4o5b6o2b8ob2o\$45bo311b4o21bo9b3o7b2o2b5o4b6o2b8ob2o\$45bo311b4o
21bo9b3o7b2o2b5o4b6o2b11o\$45bo311b4o21bo9b2o8b2o2b5o4b6o2b11o\$45bo311b
4o21bo9b2o8b2o2b5o4b6o2b10o\$45bo311b4o6bo14bo9b2o8b2o2b5o4b6o2b10o\$45b
o311b4o6bo14bo9b2o8b2o2b5obo2bob4o2b10o\$45bo311b4o6b2o13b2o8bo9b2o2b5o
bo2bo2b3o2b10o\$45bo311b4o6b2o9bo2b3o8bo9b3ob5ob2obo2b3o2b10o\$45bo311b
4o6b2o9bo2b3o8bo9b3ob5ob2obo2b3ob11o\$45bo311b4o6b2o8b3ob4o7bo9b3ob5ob
2obo2b3ob11o\$45bo311b4o6b2o8b3ob4o7bo9b3ob5ob2obo4b9ob3o\$45bo311b4obo
4b2o8b8obo5bo9b9ob2obo4b9ob3o\$45bo305bo5bob2obo4b2o8b8obo5bo10b5o2bob
4o4b9ob3o\$45bo305bo5bob2ob2o3b2o8b8ob2o3b2o10b4o3bob4o4b6o4b3o\$45bo
305bo4b2ob2ob2o3b2o8b8ob2o3b2o10b4o3bob4o4b6o4b3o\$45bo305bo4b2ob2ob2o
2b3o8b8ob2o3b2o11b3o3bob4o4b6o5b2o\$45bo305bo3b3ob2ob3ob3o8b8ob2o3b2o
11b3o3bob4o4b6o5b2o\$45bo305bo3b3o2b5ob3o8b8ob3o2bo12b3o3bob4o4b4o7bo\$
45bo305bo3b3o2b5ob4o7b8ob3o2bo12b3o3b6o4b4o7bo\$45bo305bo3b3o2b5ob4o7b
8ob3o2bo12b3o3b5o5b4o7bo\$45bo296bo7b2o3b3o2b5ob5o3bo2b8ob3o2bo12b3o3b
5o5b4o7bo\$45bo296bo7b2o2b3o3b11o3bob9ob3o2bo12b3o3b5o5b4o\$45bo296bo4bo
2b2o2b3o3b11o3bob9ob3o2bo12b3o3b5o5b4o\$45bo296bo3b2o2b2o2b3o3b11o3bob
2ob6ob3ob2o12b3o3b5o5b4o\$45bo296b2o2b2o2b3ob3o3b11o3b4ob6ob3ob2o12b2o
5b4o5b3o\$45bo296b2o2b2o2b3ob3o4b10o3b4ob3ob6ob2o19b2obo5b3o\$45bo296b2o
b3o2b7o4b10o3b4ob3ob6ob2o19b2obo5b3o\$45bo296b2ob3o2b7o4b10o3b4ob3ob6ob
2o19b2obo5b3o\$45bo296b2ob3o2b5obo4b10o3b4o2b2ob4obob2o19b2obo5b3o\$45bo
296b2ob3o2b5obo4b10o3b3o3b2obob2obob2o19b2obo5b3o\$45bo296b2ob3o2b5obo
4b11o2b3o3b2obob2obob2o19b2o7b3o\$45bo296b2ob4ob5obo4b11o2b3o3b2o3b2obo
b2o19b2o7b3o\$45bo296b2ob4ob5obo4b2ob8o2b3o3b2o3b2obob2o19b2o7b3o\$45bo
296b2ob4ob5obo4bo2b8o2b3o3b2o3b2obobo20b2o7b3o\$28b7o10bo296b7ob5o6bo2b
ob6o2b3o3b2o3b2obobo20b2o8bo\$31bo13bo296b7obob3o6bo2bob6o2b3o3b2o3b2ob
obo21bo8bo\$30bo14bo293b2ob7obob3o6bo2bo4b3ob4o8b2obobo21bo8bo\$29bo15bo
293b2ob7obob3o6bo2bo4b3ob4o8b2obobo30bo\$28b7o10bo293b2ob9ob3o6bo2bo4b
3obobo9b2obobo30bo\$45bo293b2ob9ob3o14b3obobo9b2obobo30bo\$29b5o11bo293b
2ob9ob3o14b5o11b2obobo30bo\$28bo5bo10bo293b2ob9ob3o14b5o11b2ob3o\$28bo5b
o10bo293b2ob9ob3o14b5o11b2ob3o\$28bo5bo10bo293b12o2bo17b3o11b2ob3o\$29b
5o11bo293b8ob3o2bo17b3o11b2ob3o\$45bo293b8ob3o2bo17b3o11b2ob3o\$45bo293b
8ob3o2bo17b3o14b3o\$28bo5bo10bo293b8o2b2o2bo17b3o14b3o\$28b7o10bo293b8o
2b2o2bo17b3o14b3o\$28bo5bo10bo292b9o2b2o2bo17b3o14b3o\$45bo292b4ob4o2bo
21b3o14b2o\$45bo283bo8b4ob2o4bo21b2o15b2o\$28bo16bo283bo8b4ob2o4bo21bo
16b2o\$28bo16bo281bobo8b4obo5bo38b2o\$28b7o10bo281bobo7b5o7bo38b2o\$28bo
16bo281b3o7b5o7bo39bo\$28bo16bo281b3o7b4o8bo39bo\$45bo281b3o7b3o9bo\$29b
6o10bo281b3o7b3o\$28bo2bo13bo281b3o7b3o\$28bo2bo13bo281b3o7b2o\$28bo2bo
13bo278bo2b3o7b2o\$29b6o10bo278bo2b3o6b2o\$45bo278bo2b3o6b2o\$34bo10bo
278bo2b3o6b2o\$34bo10bo278bob4o5b3o\$34bo10bo278bob4o5b3o\$34bo10bo278bob
4o5b3o\$28b7o10bo278b6o5b3o\$45bo278b3ob2o5b3o\$28b6o11bo278b3ob2o5b3o\$
34bo10bo271bo5b4ob2o5b3o\$34bo10bo271bo4b5ob2o5b3o\$34bo10bo271b2o3b5ob
2o5b3o\$28b6o11bo271b2o3b5ob2o5b3o\$45bo269bob2o3b5ob2o5b3o\$29b2o14bo
269bob2o3b5ob2o5bobo\$28bo2bo13bo248bo7bo12bob2o3b5ob3o4bobo\$28bo2bo13b
o248bobo5bo11b2ob2o3b5ob3o4bobo\$28bo2bo13bo248bobo5bo11b2ob2o3b5ob3o3b
2o\$28b7o10bo248b3o5bo11b5o3b5ob3o3b2o\$45bo248b3o5bo11b5o3b5ob3o3b2o\$
29b5o11bo248b3o5bob2o8b5o3b5ob4o2b2o\$28bo5bo10bo222bo25b3o5b6o6b5o3b5o
2b4ob2o\$28bo5bo10bo222b2o23b4o5b6o6b5o2b6o3b6o\$28bo5bo10bo222b2o23b4o
5b6o4bob13o3b5o\$29b5o11bo222b2o23b4o5b6o4bob9ob3o3b5o\$45bo222b2o23b4o
5b6o4bob9ob3o3b5o\$29b2o14bo222b2o23b4o5b6o4bob8o2b2o4b5o\$28bo2bo13bo
222b2o23b4o5b6o4bob8o2b2o5b4o\$28bo2bo13bo222b2o23b4o5b7o2b2ob8o2bo6b4o
\$28bo2bo13bo222b2o23b4o5b7o2b2ob8o9b4o\$28b7o10bo222b2o23b4o5b7o2b11o9b
4o\$45bo222b2o20bo2b5o2bob8ob11o9b4o\$45bo222b2o20bo2b5o2bob15o2b3o9b3o\$
45bo222b2obo18bo2b5ob2ob15o2b3o9b3o\$45bo222b2obo18bo2b5ob18o2b3o9b2o\$
45bo221b3obo18bo2b5ob5o2b11o2b3o9bo\$45bo221b3obo17b2ob6ob5o2b9obo2b3o
9bo\$45bo221b3obo17b2ob4obob5o2b6ob2obo3b2o9bo\$45bo220b4obo13bo3b2ob2ob
obob5o2b6ob2obo4bo\$45bo220b4obo13bo3b2ob2obobob5o2b6ob2o6bo\$45bo220b4o
bo13bobob2ob2obobob4o3b5o2b2o6bo\$45bo219b5obo13bobob2ob2obobob4o3b5o2b
2o\$45bo219b5obo13bobob2ob2obobob4o3b2obo3b2o\$45bo217bob5ob2o12bob4ob2o
bobob4o3b2obo3bo\$45bo217bob5ob2o10bobob4ob2obob5o4b2obo3bo\$45bo217bob
8o10bob6obo2bob5o4b2o\$45bo217bob8o10bob8o4b5o\$45bo217bob3ob4o10bob8o4b
3obo\$45bo217bob3ob5o9bob8o4b3obo\$45bo217bob3ob6o8b10o5b2obo\$45bo217bob
3ob6o8b10o5b2obo\$45bo217bob2o3b6o6b11o5b2obo\$45bo216b2obo4b6o6b11o5b2o
\$45bo216b2obo4b7o5b3ob7o5b2o\$45bo216b2obo4b7o5b3obob5o5b2o\$45bo216b4o
4b7o5b3obob5o5b2o\$45bo216b4o4b8o3b4obob5o5b2o\$45bo216b4o4b8o3b4obob2ob
o6b2o\$45bo216b4o4b9o2b4obob2obo\$45bo216b4o4b9o2b4obob2obo\$45bo216b3o5b
4ob4o2b4o3b2o\$45bo216b3o5bob2ob4o2b4o3bo\$45bo216b3o5bob2ob5ob2obo3bo\$
45bo216b3o7b2ob5ob2o\$45bo216b3o7b2ob5ob2o\$45bo216b3o7b2ob5obo\$45bo216b
3o8bo2b4obo\$45bo215b4o8bo2b4obo\$45bo215b4o11b4obo\$45bo210bo4b4o11b2obo
bo\$45bo210bo4b4o11b2obobo\$45bo210bo4b2obo12bobobo\$45bo210bo4b2obo12bob
3o\$45bo210b3o2bo2bo12bob3o\$45bo210b3ob2o15bob3o\$45bo210b3ob2o17b3o\$45b
o199bo10b6o17b3o\$45bo199bo10b6o17b3o\$45bo199b2o9b6o17b3o\$45bo199b2o9b
6o17b2o\$45bo199b2o9b6o17b2o\$45bo199b2o9b6o17b2o\$45bo198b3o9b6o17b2o\$
45bo197b4o9b6o17b2o\$45bo195bob4o6bob6o19bo\$45bo168bo26b7o4b2ob3ob2o19b
o\$45bo168b2o25b7o3b3ob2o2b2o19bo\$45bo168b2o25b8o2b3ob2o2b2o19bo\$45bo
168b2o25b8o2b6o3bo\$45bo168b2o21bo3b8o2b5o4bo\$45bo168b2o21bo3b15o4bo\$
45bo168b2o21bo2b16o\$45bo166bob2o21bo2b5ob10o\$45bo166bob2o21bo2b5ob10o\$
45bo166bob2o21bo2b5ob10o\$45bo166bob2o21bo2b3obob10o\$45bo166bob2o21bo2b
3obo2b9o\$45bo159bo6bob2o21b2ob3o4b9o\$45bo159bo5b5o21b2ob2o5b8o\$45bo
159bo5b6o20b2obo6b6obo\$45bo155bo2b2o3bob6o20b2obo6bob4obo\$45bo155bo2b
2o3b8o20b4o6bob2o3bo\$45bo155b2ob2o3b8o14b2o4b4o6bob2o\$45bo155b2ob2o3b
6obo14b4ob5o8b2o\$45bo155b2ob2o3b6obo14b4ob5o8b2o\$45bo153b4ob2o3b6obo9b
o4b10o8b2o\$45bo153b4ob2o3b6obo9b2o3b10o8b2o\$45bo153b4ob2o3b3ob2obo9b2o
3b10o8bo\$45bo153b4ob2o3b3obo2bo6bo2b2o3b10o8bo\$45bo153b4ob2o3b3obo2bo
6bo2b2o3b10o8bo\$45bo153b7o2b4obo2bo6b2ob2ob12o8bo\$45bo153b7o2b4obo2bo
6b2ob2ob10obo8bo\$45bo151bob8ob4obo2b2o5b2ob2ob8o\$45bo151bob8ob4obo2b2o
5b2ob2ob3ob4o\$45bo151b10ob4obo2b2o5b2ob6ob4o\$45bo151b13obo5bo3b4ob6ob
4o\$45bo147bo3b12o8bo2b5ob6o3b2o\$45bo147bo3b5ob6o8bob13o3b2o\$45bo147bo
3b5ob6o8b15o3b2o\$45bo144bo2b2ob6ob6o8b10ob4o4bo\$45bo144bo2b2ob6ob6o8b
10ob3o5bo\$45bo144b2ob2ob3ob2o3b4o8b10ob3o\$45bo144b2ob2ob3ob2o3b3o9b10o
b3o\$45bo144b2ob2ob2o2b2o3b3o9b9o4bo\$45bo144b2ob2ob2o3bo3b3o9b9o4bo\$45b
o143b3ob2ob2o7b3o9b9o\$45bo143b3ob2obo8b3o9b6ob2o\$45bo143b8o10bo9b5o2b
2o\$45bo124bo18b8o10bo9b2obo3b2o\$45bo124bo18b8o10bo9b2obo4bo\$45bo124bo
3bo14b8o20bo2bo4bo\$45bo124bo3bo14bob6o23bo4bo\$45bo123b2o2b3o11bobob6o
28bo\$45bo123b2o2b3o11bobob6o28bo\$45bo123b3ob4o10bobob5o29bo\$45bo123b3o
b4o9b4o2b2obo29bo\$45bo123b9o8b4o2b2obo29bo\$45bo123b9o7b5o2bo2bo\$45bo
123b9o6b6o\$45bo122b10o6b6o\$45bo122b6ob3o6b6o\$45bo120bob6ob3o6b6o\$45bo
119b2ob6ob3o6b3ob2o\$45bo119b2ob6ob3o6b3ob2o\$45bo119b2ob6obob2o2bo2b3o
2bo\$45bo119b2ob5o2bob2o2bo2b3o\$45bo116bo2b2ob5o4b2o2bo2b3o\$45bo116b2ob
2ob4o5b2ob2o2b2o\$45bo116b2ob4ob2o6bob2o2b2o\$45bo116b2ob4ob2o6bob3ob2o\$
45bo116b2ob4ob2o6b5obo\$45bo114b9ob2o6b5obo\$45bo114b8o2b2o6b7o\$45bo114b
8o3bo6b7o\$45bo114b8o3bo6b7o\$45bo114b8o3bo6b2ob4o\$45bo114b8o3bo6b2o2b3o
\$45bo114b2ob2ob2o11bo2b2o\$45bo114b2ob2ob2o11bo2b2o\$45bo113b3ob2o2bo11b
o2b2o\$45bo113b2o2b2o2bo11bo2bo\$45bo113b2o2b2o2bo14bo\$45bo113b2o2b2o2bo
\$45bo113b2o3bo2bo\$45bo112b3o3bo\$45bo111b3o4bo\$45bo111b3o4bo\$45bo111b3o
4bo\$45bo101b2o7b4o4bo\$45bo101b2o7b4o\$45bo100b3o3bo3b4o\$45bo100b3o3bo2b
4o\$45bo100b3o3bob5o\$45bo100b3o3b7o\$45bo87bo12b3o2b8o\$45bo87bo7bobo2b3o
2b8o\$45bo87bo3bo2b2obob4o2b8o\$45bo86b2o3bo2b2obob5ob8o\$45bo86b3o2b2ob
2ob7obob6o\$45bo86b3o2b2ob2ob7obob3obo\$45bo85b4o2b2ob7ob2obo3bo\$45bo85b
5ob10ob4o\$45bo85b5ob10o2b3o\$45bo85b5ob10o2b3o\$45bo85b15o3b3o\$45bo85b
12ob2o3b3o\$45bo85b2ob7obob2o3b3o\$45bo84b3ob6o2bo2bo4b2o\$45bo83b3o2b3ob
2o2bo2bo4bo\$45bo82b4o3b2ob2o2bo2bo\$45bo79bo2b4o3b2o2bo2bo\$45bo79bob5o
4bo5bo\$45bo56b2obo19b7o4bo\$45bo56b2obo19b7o\$45bo55b5o19b7o\$45bo55b5o
16b10o\$45bo55b5o16b10o\$45bo55b5o14b8ob2o\$45bo55b5o14b8o\$45bo49bo5b5o
14b8o\$45bo48b2o5b5o14b5ob2o\$45bo48b2o5bob3o14b5obo\$45bo47b3o4b2o2b2o
14b4o2bo\$45bo46b4obo2b2o3bo11bo2b3o\$45bo46b4obob3o3bo2bo8bo2b2o\$45bo
46b4obob2o4b2obo8bo2b2o\$45bo46b4obob2o4b2ob2o7bo2b2o\$45bo46b4ob4o4b2ob
2o7bob2o\$45bo46b2ob6o4b5o7bob2o\$45bo46b2ob6o4b5o2bo4bob2o\$45bo46bo2b6o
5b4o2b2o2b4o\$45bo46bo2b6o5b9ob4o\$45bo45b2o2b5o6b9ob4o\$45bo45b2o3bob2o
6b11ob2o\$45bo45b2o3bob2o6b11ob2o\$45bo45b2o5bo7b11o2bo\$45bo45b2o5bo10b
8o2bo\$45bo45b2o18b2ob3o2bo\$45bo45bo19bo3b2o\$45bo43b3o23bo\$45bo43b3o\$
45bo43b3o\$45bo43b2o\$45bo41b4o\$45bo41b4o\$45bo40b4o\$45bo40b4o\$45bo40b3o\$
45bo39b4o\$45bo38b3o\$45bo38b3o\$45bo38b2o\$45bo37b3o\$45bo37b3o\$45bo37b2o\$
45bo35b3o\$45bo14bo9b2o6bo2b3o\$45bo13b2o7b4o6b2ob3o\$45bo12b3o5bob4o5b7o
\$45bo12b4obob8o4b6o\$45bo9b19o2b2ob4o\$45bo9b5ob8o3b3ob2obo\$45bo9b5ob8o
3b6obo\$45bo9b4o2b5o2bo3b5o\$45bo8b4o3bo2bo10bo\$45bo2bo4b2ob2o17bo\$45bo
2bo2b4o\$27bo6bo10bo2bob5o\$26b2o5b2o10bob2ob4o\$27bo4bobo10bob4obo\$27bo
3bo2bo10b5o\$27bo3b5o9b501o\$27bo6bo\$26b3o5bo8\$43b3o185b3o2b5obo3bob5ob
4o3b3o2b5o2b3o3b3o2bo3bo10bo34bo4b3o4bo4b3o3bo170b5o2b3o3b3o3b3o3b3o3b
3o\$42bo3bo183bo3bobo5b2o2bobo5bo3bobo3bo3bo5bo3bo3bob2o2bo9bo11bo22b2o
3bo3bo2bobo2bo3bo3bo169bo5bo3bobo3bobo3bobo3bobo3bo\$42bo2b2o183bo5bo5b
obobobo5bo3bobo3bo3bo5bo3bo3bobobobo9bo4b4ob5o2b3o2b4o2b5o3bo3bo2b2obo
3bobo2b2o3bo169bo5bo2b2obo2b2obo2b2obo2b2obo2b2o\$42bobobo183bo2b2ob3o
3bo2b2ob3o3b4o2b5o3bo5bo3bo3bobo2b2o9bo3bo7bo3bo3bobo3bo9bo3bobobo7bob
obo3bo170b3o2bobobobobobobobobobobobobobobo\$42b2o2bo183bo3bobo5bo3bobo
5bo2bo2bo3bo3bo5bo3bo3bobo3bo9bo4b3o4bo3b5obo3bob5o3bo3b2o2bo7b2o2bo3b
o173bob2o2bob2o2bob2o2bob2o2bob2o2bo\$42bo3bo183bo3bobo5bo3bobo5bo3bobo
3bo3bo5bo3bo3bobo3bo9bo7bo3bo3bo5bo3bo9bo3bo3bo7bo3bo3bo169bo3bobo3bob
o3bobo3bobo3bobo3bo\$43b3o185b3o2b5obo3bob5obo3bobo3bo3bo4b3o3b3o2bo3bo
10bo2b4o5b2o2b4ob4o9b3o3b3o9b3o3bo171b3o3b3o3b3o3b3o3b3o3b3o\$320bo\$
320bo!
``````

77topaz
Posts: 1345
Joined: January 12th, 2018, 9:19 pm

### Re: Wild Seas (B2c3-cekq4ikt5i8/S2-in3-acky4aijry5eiky6i)

I've started to search soups in this rule at various higher symmetries. This has already given numerous interesting results, including the discovery of several new oscillator periods, such as this p16 from D8_4:

Code: Select all

``````x = 7, y = 7, rule = B2c3-cekq4ikt5i8/S2-in3-acky4aijry5eiky6i
2b3o\$2obo\$2bo3bo\$b2o2b2o\$3b2obo\$3bobo\$5bo!
``````
And this p18 from D4_+4:

Code: Select all

``````x = 6, y = 12, rule = B2c3-cekq4ikt5i8/S2-in3-acky4aijry5eiky6i
2o2b2o\$o4bo2\$2o2b2o\$bo2bo\$2o2b2o\$2o2b2o\$bo2bo\$2o2b2o2\$o4bo\$2o2b2o!
``````

77topaz
Posts: 1345
Joined: January 12th, 2018, 9:19 pm

### Re: Wild Seas (B2c3-cekq4ikt5i8/S2-in3-acky4aijry5eiky6i)

p7s were already known as part of the 2^N - 1 family, but here's a new, unique p7 from D4_+4:

Code: Select all

``````x = 10, y = 10, rule = B2c3-cekq4ikt5i8/S2-in3-acky4aijry5eiky6i
bo6bo\$3o4b3o\$3bo2bo\$3bo2bo\$ob2o2b2obo\$ob2o2b2obo\$3bo2bo\$3bo2bo\$3o4b3o\$bo6bo!
``````
This gives more hope that there could be odd-period oscillators with periods that aren't of the form 2^N - 1.

EDIT: Another new oscillator period, a p10 from D4_+4:

Code: Select all

``````x = 6, y = 14, rule = B2c3-cekq4ikt5i8/S2-in3-acky4aijry5eiky6i
2b2o\$2b2o\$2b2o\$2b2o2\$2o2b2o\$ob2obo\$ob2obo\$2o2b2o2\$2b2o\$2b2o\$2b2o\$2b2o!
``````

77topaz
Posts: 1345
Joined: January 12th, 2018, 9:19 pm

### Re: Wild Seas (B2c3-cekq4ikt5i8/S2-in3-acky4aijry5eiky6i)

An illustration of the wonderful weirdness of this rule:

Start with this p16368, which forms from a line of 79 cells:

Code: Select all

``````x = 77, y = 49, rule = B2c3-cekq4ikt5i8/S2-in3-acky4aijry5eiky6i
23bobobobobobobobobobobobobobobobo2\$23bobobobobobobobobobobobobobobobo
2\$19bobo33bobo2\$19bobo33bobo2\$19bobo33bobo2\$14bobob5obobobobobobobobob
obobobobobobob5obobo2\$12bo6bobo33bobo6bo2\$10bo3bobob5obobobobobobobobo
bobobobobobobob5obobo3bo2\$8bo3bo6bobo33bobo6bo3bo2\$6bo3bo3bobob5obobob
obobobobobobobobobobobobob5obobo3bo3bo2\$4bo3bo3bo6bobo33bobo6bo3bo3bo
2\$2bo3bo3bo3bobob5obobobobobobobobobobobobobobobob5obobo3bo3bo3bo2\$o3b
o3bo3bo6bobo33bobo6bo3bo3bo3bo2\$2bo3bo3bo3bobob5obobobobobobobobobobob
obobobobob5obobo3bo3bo3bo2\$4bo3bo3bo6bobo33bobo6bo3bo3bo2\$6bo3bo3bobob
5obobobobobobobobobobobobobobobob5obobo3bo3bo2\$8bo3bo6bobo33bobo6bo3bo
2\$10bo3bobob5obobobobobobobobobobobobobobobob5obobo3bo2\$12bo6bobo33bob
o6bo2\$14bobob5obobobobobobobobobobobobobobobob5obobo2\$19bobo33bobo2\$
19bobo33bobo2\$19bobo33bobo2\$23bobobobobobobobobobobobobobobobo2\$23bobo
bobobobobobobobobobobobobobo!
``````
Remove one cell:

Code: Select all

``````x = 77, y = 49, rule = B2c3-cekq4ikt5i8/S2-in3-acky4aijry5eiky6i
23bobobobobobobobobobobobobobobobo2\$23bobobobobobobobobobobobobobobobo
2\$19bobo33bo2\$19bobo33bobo2\$19bobo33bobo2\$14bobob5obobobobobobobobobob
obobobobobob5obobo2\$12bo6bobo33bobo6bo2\$10bo3bobob5obobobobobobobobobo
bobobobobobob5obobo3bo2\$8bo3bo6bobo33bobo6bo3bo2\$6bo3bo3bobob5obobobob
obobobobobobobobobobobob5obobo3bo3bo2\$4bo3bo3bo6bobo33bobo6bo3bo3bo2\$
2bo3bo3bo3bobob5obobobobobobobobobobobobobobobob5obobo3bo3bo3bo2\$o3bo
3bo3bo6bobo33bobo6bo3bo3bo3bo2\$2bo3bo3bo3bobob5obobobobobobobobobobobo
bobobobob5obobo3bo3bo3bo2\$4bo3bo3bo6bobo33bobo6bo3bo3bo2\$6bo3bo3bobob
5obobobobobobobobobobobobobobobob5obobo3bo3bo2\$8bo3bo6bobo33bobo6bo3bo
2\$10bo3bobob5obobobobobobobobobobobobobobobob5obobo3bo2\$12bo6bobo33bob
o6bo2\$14bobob5obobobobobobobobobobobobobobobob5obobo2\$19bobo33bobo2\$
19bobo33bobo2\$19bobo33bobo2\$23bobobobobobobobobobobobobobobobo2\$23bobo
bobobobobobobobobobobobobobo!
``````
This pattern then runs for 21 million generations, staying in the same bounding box but gradually acquiring more symmetry, eventually forming this p94368:

Code: Select all

``````x = 71, y = 61, rule = B2c3-cekq4ikt5i8/S2-in3-acky4aijry5eiky6i
28bo13bo2\$26bo3bo9bo3bo2\$28bo13bo4\$34bobo2\$34bobo2\$30bobo5bobo2\$30bobo
5bobo8\$5bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
2\$3bo2bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo2bo
2\$3b2o3bobobobobobobobobobobobobo5bobobobobobobobobobobobobo3b2o2\$ob2o
4bobobobobobobobobobobobo3bobo3bobobobobobobobobobobobo4b2obo2\$ob2o8bo
bobobobobobobobobo3bobo3bobobobobobobobobobo8b2obo2\$ob2o4bobobobobobob
obobobobobo3bobo3bobobobobobobobobobobobo4b2obo2\$3b2o3bobobobobobobobo
bobobobobo5bobobobobobobobobobobobobo3b2o2\$3bo2bobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobo2bo2\$5bobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobo8\$30bobo5bobo2\$30bobo5bobo2\$34bobo
2\$34bobo4\$28bo13bo2\$26bo3bo9bo3bo2\$28bo13bo!
``````
The whole re-symmetrising process looks very weird - it often looks like a "glitched" Margolus oscillator in the early stages. Both in these stages and in the final p94368, there is the appearance of "stray" smaller oscillators lying around in the main oscillator's envelope.

77topaz
Posts: 1345
Joined: January 12th, 2018, 9:19 pm

### Re: Wild Seas (B2c3-cekq4ikt5i8/S2-in3-acky4aijry5eiky6i)

I don't remember exactly who or where, but a few months ago I recall someone asking what the minimum and maximum rules for the four-Margolus-oscillator-types-in-the-same-rule were. I didn't have an answer then, but now with isorule.py I do: the minimum isotropic rule is B2c3i4i/S2c5i, and the maximum rule is B2ck3-eq4-cew56-i78/S2-in3-a4-cq567.