Rules with interesting dynamics

For discussion of other cellular automata.
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yyh_baboon
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Re: Rules with interesting dynamics

Post by yyh_baboon » July 16th, 2025, 9:54 am

A crust appears outside quickly, but the inside seems very chaotic:

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x = 16, y = 16, rule = B2-ae3i/S123c
2o4bob5obo$ob4obob3o2bo$ob3ob2o3bo$4o7b5o$b4o6bobo$2bob2ob3o5bo$3bob5o
3bobo$2bo2b2o2b4o$o2bobo2bob2o3bo$b2o5b2o2bob2o$3b2obo3b2obobo$o7b4ob
2o$bo3bo2b2o2bobo$obo2b4ob6o$b3ob2ob2ob5o$4ob2o2bobob2o!
This one is even more chaotic:
M11498516:

Code: Select all

 x = 16, y = 16, rule = B2-ae3i6i/S123c
b3obob3ob3o$b2obob6obobo$2ob3ob2ob2o2b2o$2ob2o3b2o3bobo$o3b2o5b2ob2o$
2ob2o2bobo4b2o$6b4o5bo$b4o3b3o4bo$3o3b3ob3o2bo$2ob3o2bo2bo$obob2o2b4o
$4b6ob5o$2bo2bo3bob4o$2bob3ob2o2b3o$3bob3o3b5o$o3bob2o2bo4bo!
Last edited by yyh_baboon on July 17th, 2025, 5:13 am, edited 1 time in total.
Do anyone have a P38 edge block factory?
Currently hand-searching spaceships.
Have a look at my spaceship hub viewtopic.php?f=12&t=7084 if you’re interested ÔvÔ

Code: Select all

  x = 4, y = 3, rule = B3-cnqy4ej7c/S2-ci3-ak4ceinrz5acek6c
3o$o2bo$ob2o!

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NimbleRogue
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Re: Rules with interesting dynamics

Post by NimbleRogue » July 16th, 2025, 4:50 pm

While running a obelisk search over a large space I came upon this really cool adjustable 2c/122o

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x = 62, y = 7, rule = B2ik3aciky4acjky5aikq6ak7c/S2ekn3ejkq4-az5cknry6cik7e8
9bobobobobobobobobobobobobobobobobobobo$2bobobo40bobobobobobobo$b61o$
2obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo$b61o$2b
obobo40bobobobobobobo$9bobobobobobobobobobobobobobobobobobobo!
There are many distinct edges, and a bunch of different each with distinct reactions the signal. These are the only edges reactions I have seen in pattern

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x = 83, y = 57, rule = B2ik3aciky4acjky5aikq6ak7c/S2ekn3ejkq4-az5cknry6cik7e8
8$71bo$18bobobobobobobobobobobobobobobobobobobobobobobobobobo5bobobo$
17b62o$18bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
2o$17b62o$18bobobobobobobobobobobobobobobobobobobobobobobobobobo5bobob
o$71bo5$71bo$18bobobobobobobobobobobobobobobobobobobobobobobobobobo5bo
bobo$17b63o$18bobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobo$17b63o$18bobobobobobobobobobobobobobobobobobobobobobobobobobo5b
obobo$71bo3$71bo$18bobobobobobobobobobobobobobobobobobobobobobobobobob
o5bobo$17b62o$18bobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobo$17b62o$18bobobobobobobobobobobobobobobobobobobobobobobobobobo
5bobo$71bo5$71bo$18bobobobobobobobobobobobobobobobobobobobobobobobobob
o5bo2bo$17b62o$18bobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobob2o$17b62o$18bobobobobobobobobobobobobobobobobobobobobobobobobo
bo5bo2bo$71bo3$71bo$18bobobobobobobobobobobobobobobobobobobobobobobobo
bobo5bo2bobo$17b62o$18bobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobob2o$17b62o$18bobobobobobobobobobobobobobobobobobobobobobob
obobobo5bo2bobo$71bo!
Using just those edges you are able to make 8 families of D2_+1 patterns, 2 ships(both 2c/14+4n) 2 oscillators(p48+8n), 2 sqrt growths, and 2 diehards

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x = 28, y = 68, rule = B2ik3aciky4acjky5aikq6ak7c/S2ekn3ejkq4-az5cknry6cik7e8
3bo3bobobobobobobobobobo$b26o$2bobobobobobobobobobobobob2o$b26o$3bo3bo
bobobobobobobobobo5$3bobo3bobobobobobobobobo$b26o$2bobobobobobobobobob
obobob2o$b26o$3bobo3bobobobobobobobobo5$2bobobo3bobobobobobobobo$b26o$
2bobobobobobobobobobobobobo$b26o$2bobobo3bobobobobobobobo5$2bobobobo3b
obobobobobobo$b26o$2bobobobobobobobobobobobobo$b26o$2bobobobo3bobobobo
bobobo5$2bob2obo3bobobobobobobo2bo$b27o$2bobobobobobobobobobobobobo$b
27o$2bob2obo3bobobobobobobo2bo5$2bob2obobo3bobobobobobo2bo$b27o$2bobob
obobobobobobobobobobo$b27o$2bob2obobo3bobobobobobo2bo5$bobobobo3bobobo
bobobobobobo$2b25o$b2obobobobobobobobobobobob2o$2b25o$bobobobo3bobobob
obobobobobo5$bobobobobo3bobobobobobobobo$2b25o$b2obobobobobobobobobobo
bob2o$2b25o$bobobobobo3bobobobobobobobo!
Each family can be adjusted by changing the size of the antidot line, or changing the position of the signal on the antidot line

There also also many reactions that involve nonsymmetric sides. There is a one sided sqrt growth, and the I have found ships, double sided sqrt growth and diehards that are nonsymmetric

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x = 65, y = 65, rule = B2ik3aciky4acjky5aikq6ak7c/S2ekn3ejkq4-az5cknry6cik7e8
11$26bo$6b2obobobobobobobobo5bobobobobo$4b33o$4bobobobobobobobobobobob
obobobobob2o$4b33o$6b2obobobobobobo14bobo$22bobobobobobo8$4bobobo3bobo
bobobobobobobobobobobobobobobobob2o$5b47o$4b2obobobobobobobobobobobobo
bobobobobobobobobobo$5b46o$4bobobo40bo$11bobobobobobobobobobobobobobob
obobobobo!
I have not been able to find any nonadjustable ships in the rule but there might be some


In related rules there are both linearly and quadratically adjustable ships

For example here is a 2c/48n^2+82n+42

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x = 40, y = 40, rule = B2ik3-jkr4ajkw5iq6a7e/S2ei3aekqy4-acqz5-aij6cik7e
26bobobobobo4bo$24b16o$24bobobobobobobob2o$24b16o$26bobobobobo4bo9$18b
obobobobobobobobo4bo$16b24o$16bobobobobobobobobobobob2o$16b24o$18bobob
obobobobobobo4bo6$10bobobobobobobobobobobobobo4bo$8b32o$8bobobobobobob
obobobobobobobobob2o$8b32o$10bobobobobobobobobobobobobo4bo8$2bobobobob
obobobobobobobobobobobobo4bo$40o$obobobobobobobobobobobobobobobobobobo
b2o$40o$2bobobobobobobobobobobobobobobobobo4bo!

I used this rulespace as a jumping off point and found some really cool non-symmetric high period ships with similar mechanics
For example here is a 4c/4000

Code: Select all

x = 27, y = 7, rule = B2ikn3acijq4-cinrt5aci6n/S2cei3aejnq4-anqz5-aij6-a7
4bobobobo6bo$2bo10bobo4bobo$25o$obobobobobobobobobobobobobo$26o$2bobob
obo8bobobobo2bo$10bobobo!
There are many more ships like it in other rules, but sadly the space is explosive so it is hard to find rules with multiple ships like this.


Can anyone find D2_+1 ships in the first space that are non-adjustable, and/or more spaces with interesting non-symmetric ships with the same mechanics?
Last edited by NimbleRogue on July 23rd, 2025, 12:35 pm, edited 2 times in total.
There you are

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Resu
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Re: Rules with interesting dynamics

Post by Resu » July 23rd, 2025, 12:23 pm

Spontaneous failure:

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# Not a oscillator
x = 340, y = 3, rule = B37e8/S23-a57e8
340o$340o$340o!

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x = 694, y = 1, rule = B37e8/S23-a57e8
694o!

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pifricted
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Re: Rules with interesting dynamics

Post by pifricted » July 28th, 2025, 8:10 am

An agarship collide the edge, and reflect/spilt:

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x = 21, y = 21, rule = B2cn3aceq4c/S1e3q
10bo2$8bobobo2$6bob2o2bobo2$4bobobobobobobo2$2bobobobobobobobobo2$obo
bobobobobobobobobo2$2bobobobobobobobobo2$4bobobobobobobo2$6bobobobobo
2$8bobobo2$10bo!

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x = 21, y = 21, rule = B2cn3aceq4cr/S1e3q
10bo2$8bobobo2$6bob2o2bobo2$4bobobobobobobo2$2bobobobobobobobobo2$obo
bobobobobobobobobo2$2bobobobobobobobobo2$4bobobobobobobo2$6bobobobobo
2$8bobobo2$10bo!
pifricted's rules & pifricted's Sandbox User:Pifricted
Ehhh…
I’m not a guy good at rule exploration, right?

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breaker's glider gun
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Re: Rules with interesting dynamics

Post by breaker's glider gun » August 2nd, 2025, 9:42 am

pifricted wrote:
July 28th, 2025, 8:10 am
An agarship collide the edge, and reflect/spilt:

Code: Select all

x = 21, y = 21, rule = B2cn3aceq4c/S1e3q
10bo2$8bobobo2$6bob2o2bobo2$4bobobobobobobo2$2bobobobobobobobobo2$obo
bobobobobobobobobo2$2bobobobobobobobobo2$4bobobobobobobo2$6bobobobobo
2$8bobobo2$10bo!

Code: Select all

x = 21, y = 21, rule = B2cn3aceq4cr/S1e3q
10bo2$8bobobo2$6bob2o2bobo2$4bobobobobobobo2$2bobobobobobobobobo2$obo
bobobobobobobobobo2$2bobobobobobobobobo2$4bobobobobobobo2$6bobobobobo
2$8bobobo2$10bo!
ooh fun it's 2c/2
going 2 cells in 1 gen >:)
:?: :?: . . . :!:
Give me a suggestion of something interesting to draw here!

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Resu
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Re: Rules with interesting dynamics

Post by Resu » August 9th, 2025, 7:38 am

Not sure if this counts as "interesting dynamics" but:
8 cell 5c/356 diagonal endemic spaceship that's a banana spark with a glider in one phase?

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x = 5, y = 6, rule = B34c678/S23-a4c5cik67
o$b2o2$2bo$3b2o$2b2o!

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x = 31, y = 13, rule = C
8.2X2.3X.3X.X.X$8.X.X.X3.X3.X.X$8.X.X.3X.3X.X.X$8.2X2.X5.X.X.X$8.X.X.
3X.3X.3X$M2.M$4.M$M3.M$.4M$27.2M$27.M.M$29.M$29.2M! [[ AUTOSTART GPS 10 ]]

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yujh
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Re: Rules with interesting dynamics

Post by yujh » August 14th, 2025, 6:57 am

Moosey wrote:
July 28th, 2019, 10:12 am
...
This rule is more... crystalline.

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rle
c/99o:

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x = 8, y = 13, rule = B2eik3aeij4e5ij7e8/S2k3aij4-cjnyz5-i6k7c8
3bobobo$4bobo$3bobobo$b2obobo$ob2obobo$bo2bobo$obo2bobo$bob2obo$obo4bo
$bobo2bo$obobo$bobo2bo$obobobo!
I just randomly decided to apgsearch this rule
Edit: apparently this was found in a different rule: viewtopic.php?f=11&t=3120&start=575#p103510

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R2INT
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Re: Rules with interesting dynamics

Post by R2INT » August 14th, 2025, 12:36 pm

Which rule is this emulating?

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x = 7, y = 64, rule = B2eik3aeij4e5ij7e8/S2k3aij4-cjnyz5-i6k7c8
3bobo$2bobobo$5bo$2b2o2bo$2b2obo$4bobo$5bo$2b2o2bo$2b2obo$4bobo$5bo$2b
2o2bo$2b2obo$6bo$5bo$b3o2bo$2b2obo$4bobo$5bo$b3o2bo$2b2obo$2bobobo$5b
o$b3o2bo$2b2obo$4bobo$3bobo$b3o2bo$2b2obo$6bo$3bobo$2b2o2bo$2b2obo$4b
obo$5bo$2b2o2bo$2b2obo$4bobo$5bo$2b2o2bo$2b2obo$4bobo$5bo$b3o2bo$2b2o
bo$2bobobo$5bo$b3o2bo$2b2obo$2bobobo$5bo$b3o2bo$2b2obo$6bo$5bo$b3o2bo
$2b2obo$4bobo$5bo$b3o2bo$2b2obo$6bo$3bobo$2bobobo!
Range-2 INT
R2INT's Rule Collection

Currently missing OCA catalyst search software and OCA conduit search software (the one I have is hardcoded to B3/S23-a5)

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Resu
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Re: Rules with interesting dynamics

Post by Resu » August 20th, 2025, 11:04 am

Combining shapes:

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x = 204, y = 105, rule = /2/4
203.A$203.A20$162.A$162.A60$41.A$41.A20$A$A!

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x = 31, y = 13, rule = C
8.2X2.3X.3X.X.X$8.X.X.X3.X3.X.X$8.X.X.3X.3X.X.X$8.2X2.X5.X.X.X$8.X.X.
3X.3X.3X$M2.M$4.M$M3.M$.4M$27.2M$27.M.M$29.M$29.2M! [[ AUTOSTART GPS 10 ]]

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rabbit
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Re: Rules with interesting dynamics

Post by rabbit » August 21st, 2025, 1:55 pm

B2ce3aiy5i/S12aei3jr5ei has grown driven by a failed replicator made of small c/4 spaceships. On D4_+1 symmetry in particular, this creates long-lasting patterns sustained by pairs of gliders creating more copies of it.

125,978-generation methuselah:

Code: Select all

x = 2, y = 23, rule = B2ce3aiy5i/S12aei3jr5ei
o$bo$o18$o$bo$o!
Patterns like this appear to generate infinite novelty:

Code: Select all

x = 2, y = 25, rule = B2ce3aiy5i/S12aei3jr5ei
o$bo$o20$o$bo$o!
There may be a true replicator in this rule from 2-3 copies of the failed replicator.

Besides the failed replicator, there is also this 8c/22 multi-domino puffer appearing quite frequently:

Code: Select all

x = 7, y = 10, rule = B2ce3aiy5i/S12aei3jr5ei
2o3$5b2o$bobo$bobo2bo2$2bobo$2bobo$3bo!
And a small 2c/18 spaceship "Swimmer" from BestFriends:

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x = 4, y = 3, rule = B2ce3aiy5i/S12aei3jr5ei
bo$obo$3bo!
Natural p101 gun:

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x = 7, y = 17, rule = B2ce3aiy5i/S12aei3jr5ei
2o3b2o9$2bobo$3bo$3bo5$2o3b2o!
8c/64 (c/8) spaceship based on a yl128 from Catagolue:

Code: Select all

x = 36, y = 38, rule = B2ce3aiy5i/S12aei3jr5ei
26bo2$18bobo5bo5bobo$21bo9bo$17bo2bo11bo2bo$21bo9bo$18bobo5bo5bobo2$
26bo$o$o17bo$bo13bobo$18bo$15bobo$18bo9$18bo$15bobo$18bo$bo13bobo$o17b
o$o$26bo2$18bobo5bo5bobo$21bo9bo$17bo2bo11bo2bo$21bo9bo$18bobo5bo5bobo
2$26bo!
A smaller c/8 spaceship most certainly exists.

-

EDIT: Since it's been a few dozen minutes without a crosspost, iNoMed found a cleaner 8c/22 puffer and a 4-engine 8c/22 spaceship:

Code: Select all

x = 21, y = 17, rule = B2ce3aiy5i/S12aei3jr5ei
8bobo$8bobo5bobo$19b2o$9b2o$19b2o$10bo2bo4bo$13bo$12bobo$4b2o$6bo$4bob
o$bo3b2o10bo$bo6b3o7b2o$8bo2bo$o10bo6b2o$o7bo6bobo$8bo!

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x = 15, y = 39, rule = B2ce3aiy5i/S12aei3jr5ei
6b2o2$6bo4bo$8bobo$6bobo4bo$10bo$6bo4bo5$7bo4bo$11bo$7bobo4bo$9bobo$7b
o4bo2$7b2o2$obo2$7b2o2$7bo4bo$9bobo$7bobo4bo$11bo$7bo4bo5$6bo4bo$10bo$
6bobo4bo$8bobo$6bo4bo2$6b2o!
I didn't think it was possible to corderize that puffer, but I'm glad to have been proven wrong here. :D

p128 glider gun:

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x = 66, y = 9, rule = B2ce3aiy5i/S12aei3jr5ei
42bo22bo$65bo$o22bo18b2o$o20bobo18bobo$42b2o2$42bo$21bobo$23bo!
EDIT2: I found a messy push reaction for one of the large still lifes:

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x = 10, y = 11, rule = B2ce3aiy5i/S12aei3jr5ei
8bo$6b2o3$4b2o$b2o4b2o2$3ob2ob3o2$b2o4b2o$4b2o!
Unfortunately it doesn't produce any forward gliders so you can't have a single glider bounce around between them, so no high period puffer. :(

This is "almost" a p1664 oscillator, leaving behind a huge mess:

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x = 145, y = 111, rule = B2ce3aiy5i/S12aei3jr5eiHistory
8.4B17.4B31.4B2.6B2.6B4.4B3.4B11.B$9.4B17.4B31.4B2.4B4.4B4.4B5.4B9.3B
$10.4B17.4B31.10B2.6B2.4B7.4B7.4B$11.4B17.4B31.22B9.4B5.4B$12.4B17.4B
31.4B2.6B2.6B11.4B3.4B$13.4B17.4B29.6B2.4B4.4B13.4B.4B$14.4B17.4B27.
14B2.6B13.7B$15.4B17.4B25.4B2.18B13.5B$16.4B17.4B23.4B4.4B2.6B2.4B12.
5B$17.4B17.4B21.4B4.6B2.4B4.4B10.7B$18.4B17.4B19.4B4.14B4.4B8.4B.4B$
19.4B17.4B17.4B4.4B2.10B4.4B6.4B3.4B$20.4B17.4B15.4B4.4B4.4B2.4B4.4B
4.4B5.4B$21.4B17.4B13.4B4.4B4.6B2.4B4.4B2.4B7.4B$22.4B17.4B11.4B4.4B
4.8B2.4B4.8B9.4B$23.4B13.2B2.4B9.4B4.4B4.4B2.4B2.4B4.6B11.4B$24.4B11.
4B2.4B7.4B4.4B4.4B4.4B2.4B4.4B13.4B$25.4B9.4B4.4B5.4B4.4B4.4B6.4B2.4B
2.6B3.B9.4B$26.4B7.4B6.4B3.4B4.4B4.4B8.4B2.17B8.4B$27.4B5.4B8.4B.4B4.
4B4.4B10.4B2.6B2.9B8.4B$28.4B3.4B10.7B4.4B4.4B3.B6.6B2.4B4.7B3.2B5.4B
$29.4B.4B12.5B4.4B4.4B3.3B4.14B.B.8B.5B4.4B$30.7B13.5B3.4B4.4B3.6B2.
31B3.B.4B$31.5B13.7B.4B4.4B2C4B.25B2D10B.7B.B$31.5B12.4B.7B4.2B2C4B2C
24B2D4B2D18B$30.7B10.4B3.5B4.61B$29.4B.4B8.4B4.5B3.3B3CB2CB3C22B3DB2D
B3D18B$28.4B3.4B6.4B4.7B.4B.58B$27.4B5.4B4.4B4.4B.7B2.2C4B2C24B2D4B2D
18B$26.4B7.4B2.4B4.4B3.5B3.3B2C30B2D10B.7B.B19.2B$25.4B9.8B4.4B4.5B5.
B4.6B.10B.21B3.B.4B20.4B$24.4B11.6B4.4B4.7B8.5B2.10B.5B.B.8B.5B4.4B
20.4B$23.4B13.4B4.4B4.4B.4B6.2C3B2.11B.4B4.B2D4B3.2B5.4B20.4B$22.4B
13.6B2.4B4.4B3.4B5.2BCB2.4B2.10B4.BD7B8.4B20.4B$21.4B13.12B3.5B5.4B3.
4B2.4B2.4B.5B4.9B8.4B20.4B$20.4B13.4B2.6B3.6B.B4.4B.4B2.4B2.4B2.5B3.
4B.4B8.4B20.4B$19.4B13.4B4.4B4.7B.2B3.7B2.4B2.4B2.7B.4B3.4B6.4B20.4B$
18.4B13.4B4.6B2.7B.4B3.5B2.4B2.4B2.12B5.4B4.4B20.4B$17.4B13.4B4.17B.
4B2.5B.4B2.4B2.4B.7B7.4B2.4B20.4B$16.4B13.4B4.4B2.11B3.14B2.4B2.4B2.
7B8.8B20.4B$15.4B13.4B4.4B4.11B3.6B.5B2.4B2.4B4.7B8.6B20.4B$14.4B13.
4B4.4B4.13B3.4B2.5B.4B2.4B4.9B8.4B20.4B$13.4B13.4B4.4B4.13B3.16B2.4B
4.11B6.6B18.4B$12.4B13.4B4.4B4.4B2.8B2.10B.11B4.4B2.7B4.8B16.4B$11.4B
13.4B4.4B4.4B4.12B2.4B2.10B4.4B4.7B2.4B2.4B14.4B$10.4B13.4B4.4B4.4B4.
12B2.16B4.4B6.11B4.4B12.4B$9.4B9.B3.4B4.4B4.4B4.12B2.17B3.4B8.9B6.4B
10.4B$8.4B8.9B4.4B4.4B4.18B2.11B3.4B10.7B8.4B8.4B$7.4B8.9B4.4B4.4B4.
18B.14B.4B.2B9.7B8.4B6.4B$6.4B5.2B3.7B4.4B4.4B4.5B.32B2.3B7.9B8.4B4.
4B$5.4B4.5B.8B.B.5B3.5B3.5B2.32B2.4B5.11B6.B.4B2.4B$4.4B.B3.21B.7B3.
47B3.13B3.13B$2.B.7B.82B.18B.9B$.123B.B$.126B$128B$.126B$.123B.B$2.B.
7B.82B.18B.9B$4.4B.B3.21B.7B3.47B3.13B3.13B$5.4B4.5B.8B.B.5B3.5B3.5B
2.32B2.4B5.11B6.B.4B2.4B$6.4B5.2B3.7B4.4B4.4B4.5B.32B2.3B7.9B8.4B4.4B
$7.4B8.9B4.4B4.4B4.18B.14B.4B.2B9.7B8.4B6.4B$8.4B8.9B4.4B4.4B4.18B2.
11B3.4B10.7B8.4B8.4B$9.4B9.B3.4B4.4B4.4B4.12B2.17B3.4B8.9B6.4B10.4B$
10.4B13.4B4.4B4.4B4.12B2.16B4.4B6.11B4.4B12.4B$11.4B13.4B4.4B4.4B4.
12B2.4B2.10B4.4B4.7B2.4B2.4B14.4B$12.4B13.4B4.4B4.4B2.8B2.10B.11B4.4B
2.7B4.8B16.4B$13.4B13.4B4.4B4.13B3.16B2.4B4.11B6.6B18.4B$14.4B13.4B4.
4B4.13B3.4B2.5B.4B2.4B4.9B8.4B20.4B$15.4B13.4B4.4B4.11B3.6B.5B2.4B2.
4B4.7B8.6B20.4B$16.4B13.4B4.4B2.11B3.14B2.4B2.4B2.7B8.8B20.4B$17.4B
13.4B4.17B.4B2.5B.4B2.4B2.4B.7B7.4B2.4B20.4B$18.4B13.4B4.6B2.7B.4B3.
5B2.4B2.4B2.12B5.4B4.4B20.4B$19.4B13.4B4.4B4.7B.2B3.7B2.4B2.4B2.7B.4B
3.4B6.4B20.4B$20.4B13.4B2.6B3.6B.B4.4B.4B2.4B2.4B2.5B3.4B.4B8.4B20.4B
$21.4B13.12B3.5B5.4B3.4B2.4B2.4B.5B4.9B8.4B20.4B$22.4B13.6B2.4B4.4B3.
4B5.2BCB2.4B2.10B4.BD7B8.4B20.4B$23.4B13.4B4.4B4.4B.4B6.2C3B2.11B.4B
4.B2D4B3.2B5.4B20.4B$24.4B11.6B4.4B4.7B8.5B2.10B.5B.B.8B.5B4.4B20.4B$
25.4B9.8B4.4B4.5B5.B4.6B.10B.21B3.B.4B20.4B$26.4B7.4B2.4B4.4B3.5B3.3B
2C30B2D10B.7B.B19.2B$27.4B5.4B4.4B4.4B.7B2.2C4B2C24B2D4B2D18B$28.4B3.
4B6.4B4.7B.4B.58B$29.4B.4B8.4B4.5B3.3B3CB2CB3C22B3DB2DB3D18B$30.7B10.
4B3.5B4.61B$31.5B12.4B.7B4.2B2C4B2C24B2D4B2D18B$31.5B13.7B.4B4.4B2C4B
.25B2D10B.7B.B$30.7B13.5B3.4B4.4B3.6B2.31B3.B.4B$29.4B.4B12.5B4.4B4.
4B3.3B4.14B.B.8B.5B4.4B$28.4B3.4B10.7B4.4B4.4B3.B6.6B2.4B4.7B3.2B5.4B
$27.4B5.4B8.4B.4B4.4B4.4B10.4B2.6B2.9B8.4B$26.4B7.4B6.4B3.4B4.4B4.4B
8.4B2.17B8.4B$25.4B9.4B4.4B5.4B4.4B4.4B6.4B2.4B2.6B3.B9.4B$24.4B11.4B
2.4B7.4B4.4B4.4B4.4B2.4B4.4B13.4B$23.4B13.2B2.4B9.4B4.4B4.4B2.4B2.4B
4.6B11.4B$22.4B17.4B11.4B4.4B4.8B2.4B4.8B9.4B$21.4B17.4B13.4B4.4B4.6B
2.4B4.4B2.4B7.4B$20.4B17.4B15.4B4.4B4.4B2.4B4.4B4.4B5.4B$19.4B17.4B
17.4B4.4B2.10B4.4B6.4B3.4B$18.4B17.4B19.4B4.14B4.4B8.4B.4B$17.4B17.4B
21.4B4.6B2.4B4.4B10.7B$16.4B17.4B23.4B4.4B2.6B2.4B12.5B$15.4B17.4B25.
4B2.18B13.5B$14.4B17.4B27.14B2.6B13.7B$13.4B17.4B29.6B2.4B4.4B13.4B.
4B$12.4B17.4B31.4B2.6B2.6B11.4B3.4B$11.4B17.4B31.22B9.4B5.4B$10.4B17.
4B31.10B2.6B2.4B7.4B7.4B$9.4B17.4B31.4B2.4B4.4B4.4B5.4B9.3B$8.4B17.4B
31.4B2.6B2.6B4.4B3.4B11.B!
The 2c/18 is also capable of reflecting gliders uninterrupted, and the glider can turn 2c/18s into gliders, as a result of this rule not having too many birth conditions:

Code: Select all

x = 13, y = 23, rule = B2ce3aiy5i/S12aei3jr5ei
bo2$2o7$11bo$12bo$11bo$10bo7$11bo$12bo$11bo$10bo!

Code: Select all

x = 4, y = 16, rule = B2ce3aiy5i/S12aei3jr5ei
bo2$2o10$2bo$3bo$2bo$bo!
That's the bunny. (she/her)

User avatar
TigerCub414
Posts: 160
Joined: March 25th, 2024, 9:51 pm

Re: Rules with interesting dynamics

Post by TigerCub414 » August 28th, 2025, 8:53 pm

This is a rule I found a long long time ago, then forgot about, then looked for it again, then forgot once more, then rulegolfed it again, and now I am finally going to post it: the slow crystallization rule.

Code: Select all

x = 5, y = 2, rule = B2ei3aij4a/S2-i3-ar4a:T64,64
o$5o!
This chaotic pattern takes over 2 million generations to begin crystallizing, and it fully crystallizes in about 2.3 million generations. It crystallizes because indestructible crystal "seeds" eventually appear in the chaos, and then other still life components are randomly added to them so that the indestructible crystal grows and finally overtakes the chaos. Also, in this rule, the tub is a space nonfiller, the U-pentomino is a c/2 spaceship, the duoplet is a p2 oscillator, the tail is a p8 oscillator, and the glider is a p12 oscillator.

Code: Select all

x = 18, y = 25, rule = B2ei3aij4a/S2-i3-ar4a
7b3o$7bobo6$16bo$bo5bo7bo$o6b3o5b3o13$8bo$7bobo$8bo!

Code: Select all

x = 32, y = 32, rule = B3aijkr5j/S2aek3-acy4iz6c
8b3o$7bo2bo$7bo2bo$7b3o4$28b3o$28bo2bo$28bo2bo$29b3o11$3o$o2bo$o2bo$b
3o4$22b3o$21bo2bo$21bo2bo$21b3o!

User avatar
pifricted
Posts: 968
Joined: May 25th, 2024, 10:26 am
Location: Behind The Great Internet Wall

Re: Rules with interesting dynamics

Post by pifricted » August 29th, 2025, 1:38 am

(It's so strange. I can't describe it):

Code: Select all

x = 16, y = 16, rule = B23/S45678|B/S345-i6-c78
2o2b4ob7o$b11ob3o$2obob3ob3obobo$bob3ob2o2bob3o$2o2b4o4bo2bo$4o2b3o2b
2o2bo$ob9ob2obo$o2b5ob5obo$b11obo$b2o2bob5ob2o$2o2b3ob3ob2o$7o2b2obo2b
o$obobo2b2o4bobo$2bob3ob6obo$4o2bob6obo$3ob2obob3obobo!

Code: Select all

x = 16, y = 16, rule = B23/S45678|B/S345-i6-ce78
3o2b4ob6o$b4ob10o$3o2b11o$3ob12o$b3ob11o$16o$8ob7o$b10ob4o$3ob9ob2o$4o
b11o$2ob6ob6o$ob14o$10ob5o$16o$8ob7o$7o2b7o!
pifricted's rules & pifricted's Sandbox User:Pifricted
Ehhh…
I’m not a guy good at rule exploration, right?

User avatar
Resu
Posts: 774
Joined: May 23rd, 2025, 10:47 am
Location: In an age of macro-spaceships
Contact:

Re: Rules with interesting dynamics

Post by Resu » August 29th, 2025, 2:04 am

Weird spirals:

Code: Select all

x = 15, y = 16, rule = B23/S45678|B/S345-ci6-c7
14bo$13b2o$12b3o$11b4o$10b3o$9b2o2bo$8b5o$7b4obo$6b3o$5b4o2bo$4b2obo2b
2o$3b3ob2ob2o$2b3obobobo2bo$b4o3b6o$2obo3b2o3bo$2obo3bob2o!

Code: Select all

x = 31, y = 13, rule = C
8.2X2.3X.3X.X.X$8.X.X.X3.X3.X.X$8.X.X.3X.3X.X.X$8.2X2.X5.X.X.X$8.X.X.
3X.3X.3X$M2.M$4.M$M3.M$.4M$27.2M$27.M.M$29.M$29.2M! [[ AUTOSTART GPS 10 ]]

User avatar
rabbit
Posts: 193
Joined: March 4th, 2024, 6:00 am
Location: Stuck inside a magician's hat. it hurts so bad

Re: Rules with interesting dynamics

Post by rabbit » October 29th, 2025, 12:56 am

Code: Select all

x = 200, y = 200, rule = B2ck3-jny456ac/S
3o4bobobob2obobobob2o5b3o2bob2o4bo8b3o5bobob2ob2obo2bobo4b5obobo4b3o2b
2o2b2ob3ob2o7bob2o3b2o2bo2b5obobobo11b2o8bo3b3obobobob2o3b5ob4o2b3o2bo
$obobo4bob5o3b5o3b4o2b2obo2b2o2b2ob3o2bo3b7ob2o2b2ob5obobobo2b2o3bob4o
bo2b2o9b2o4b3o2bob2ob3o3b2o3bo3bob2ob4ob2o3b5o5bo6bo4b3ob2ob2o2b2ob4ob
obo$ob2o2bo2bob3o3bobobo2b3ob2obobob2o3bo2bobo3b5o6b3ob2obob2ob3o2b4ob
ob2obob2ob2ob2ob3o5bo2b3ob5o3bo3bo3bo3b2o4bo4bobo2b2o4b2o3bo2b5o4b2obo
bob2o3bobo2bo3bobo2b2o$8bobob2o2bo4b5ob2o4b3obo2b5obo2bob4o2bob4ob2o2b
5o2b2obo2bobo2bo2bob2o2b3ob2o2bobo2b4o3b4obob2o2bobobo3bobo2b2o2b3ob4o
b7ob5obo4bob2ob8o2bob4obo3bobo$3o4bo2bobob2obob3obo2b5obo4bobo2b3o4bo
3bob2ob5o3bob2o2b5o3bo2bo2b2obo5b5o3bo4bobob3o4b2ob2ob3o3bob3o4b2ob2o
2bob3o4bob2obo2b3ob3o2b3obo2bobob3o2bobo2b2obobo$obo2bo3bo5b2ob2o3bobo
bo4bob3obobobobo3b2ob3o3b2o2b2o2b2o2b3o2bo3bo3bobob2ob2ob3o3bob2obobob
3o2bo3b5o2bo2bo3bo6b2o2bob3ob4o3b2obobob2ob3obo2bobo5b2ob2obo3b4o2bo2b
2o$2o3b3obo2b2ob2o2b2o5b3obo6b3obo3bobob2ob3ob5o3bobo2b3ob2o4b3ob2obo
3b4o2b3o4bo2b2obo4b4o3bob3ob2ob3obobo4b3o2bo3b2o5b3ob2o2bob3ob3o2b7o2b
o3bob2obo$o8b2o2b3obo2b2obo2bobo2bob7ob3ob2ob2o2bob4o2bob2ob3ob2o7b2o
3b4obobo4bob3ob4o2bob2ob2o2bo3bob2o3b2ob2obob2o3b4obob3o5b2o5b3obo2bo
2b4obobob2ob2o3b2o5b2o$o3bob6obobob3o6bo8bob2ob2obo3bobo3b2o2bo2b3obob
3o2b2o6b2o3b2ob5o2b4o2bo3bob2o3b2obobo3bo2b2ob2obo2b2obo2bob3ob3obob2o
3bob3o3bob3obob3obo2b4o6bo3bo5bo$bo2bobo4bobob2obo3b7obob3ob2o2b4o2bob
2o3b2o2b2o4bo2b3o2bo2b2ob3o3bo2bob2o10b4o2b3o6b2o2bo2b9ob6o3b4ob2ob2o
2b3o2bobobo5b2o3b4obo3b3o3b3obo4b2o$2bo2b3o4bobo2b3o2b2ob4ob3obob3obo
3b2ob2ob4obo2bob2ob4o2bobobobobob2o4bobobo3bobob2o8bo2b2obo2b3obobob2o
2b3obo3b2ob2o6b3ob2obo2bobobo2b2o3bobo3b6o3b5o2b2ob2o3bo$b2obo2bob4o6b
3o5bob3o2bo2b3ob3obo4bobob2o2bobo2b3obob2o2b2o2bo9bo2bobob8o8b2o2b2o5b
4obo3bo2bo2bo5b3o2b4o2bob2o2bo2b4ob6o3b3ob8ob2obob5o$3bobo2b2obobobo2b
o2b2ob10o5b3ob4o2b5obo7b6o4bo2b3o2bobob5ob2o3bo4b2obob2ob2o3bo3b2o3b2o
bob5ob3o4b2o4b2obobobobo4b3o2bo4bobo2b2ob3o3b3o2bobo2b5o$bo2b2o3bo3b2o
2bobo3bob3obob2o4bob2ob3obo3b2ob2ob2o3bobob5o2bo3b2o2b2obo2bob2o2bo3b
3ob3o5bo3bobo2b2o4bobo8b2o5b2o3bo2b2o4bob4o2b4o2bobobobob3o2b2o3bob2o
8bo$2b2o3b6obobob2ob5ob4o2b2obobo5b5o4b4o2b4obo2bo2bo6b3o12bo3b3ob7obo
b3obob2ob2o4bob2ob2obo3bo6bobo2bo2b2o2b3obo5bobo2bo2bobob4ob2obob2o3bo
2b2o$2bob5o2b3o3bo3b4o6bo6bobo2b3ob6ob2obo2bo3bob2obo4b2o3b2obo4b2ob2o
b2obobo2b4o3b3o2bob2o6b2o3b3ob2ob2o2bo5bob3obob2obob3ob5ob6o2bobo2b2ob
2o2bobob4o2b2o$4obo2bob2o4b3o3b2o2b3o2b3o3bo2b8obo2b3o2b3o3b2ob2o2b2o
4b2o2b2obob5o6b2ob2obo2b3o4b3obo3bobo4b2o3b3ob6o2bobob2o2bo2bobo3bobob
3ob3o2bob4o6bo3b2ob4o$o3b4ob2obo2bobob2obobobo2bob3ob2o2bob4o3bo3bobob
obo2bo2b2o2b2obo2b5obob2o2bo2bob6ob4ob3obo2b2ob3o3b3ob4ob2o2b6o3b2ob2o
b2o4b2ob2o2b2o3b4obobob2obob4o2b4o2bo5b3o$2obo2b2o3bo2b2o4bo6bo6b6o2b
3ob2ob2ob5ob2obobo2bo3b2ob2o2b7obobobo5bob2ob4obo3b2ob3o2b2o2b4o4b2o2b
4o2b2o2bo3b4obobobob2ob7o4bobo3bo2bo3b2ob2obob3ob3o$3o2bob3o3bo2b2o2bo
3b2o3b4o4bo5bo3b2obobo2bo2b2o3b2ob2obo3bo3b2o6b3o3bob2o4b4ob2o2b3obob
3o3bobob2o2b3o4bob4o2bobob3obob2o3b2o2b2o2b2obo3b3obo3b3o2bob4o2b2o2b
2o$2ob3obob3o4bo5b3ob2o3b3obo3bobob6ob4ob2o4b2o3bo2bob2ob4o3b5o3b2o2b
2obob2obo5b3o2b5ob5o4b2o4b3o2b4o4b4ob4ob2obo4b2ob3ob3obobob3obo2b4o2bo
2bob2o$b2ob4ob2ob3o3bo2bo2b3o2bo2b3o3b2o4bobobo2bo3bo3bo5bobob2o3bo2b
3o2b3obob3obob3o3b2o2bo7b2o2b5o2bo2bo2b2ob3o3b3o2bo4b8obob2o2b3obo2b4o
bobob2obo4b2o2bo2bobob2o$2o2b3obo3b2ob3ob2o5bo2b2o2bobobobo2b4o4b4obo
6b2ob2ob3ob2ob3ob4ob2o5bob2o4b2obobob2obob3o7bo3bo2b2o3b2o5bobobo3bobo
bo3b4ob2ob2o2b2o2b2obo2b4ob2o6bob2ob2o$5o2b2o2bob2o7bob7ob6obob4obo3bo
b3o2b2o2b5obo2bob2o3bobo2b2obob2o3bobo2b2obobob3o5b5o4bob2ob5o2b2ob6ob
4obo4bo3bobobobobo3bob2ob8obo8bo2bo2b2o$2obob2ob4o2b3obobob7ob2o2b4obo
2b3ob6o2bobobob2ob2obob6o3bob3o6bobo3bob2ob2o3b3ob3o2bo2b6obobobo3bo4b
3obobo2bo4bob3ob2o2b3o2b2ob4ob2ob3o2bobo2bo4bo2b3o$4b2obo3b2ob3o4b4o3b
o2b2o2b2ob2ob2ob3o3bob2obob2obobob2o3b3o2bo3bobo4bob2o2b3o3b2o3bob3obo
2b3o2b3o2bob4o2b2o3bo3bobobo3bobob2obob2o2b2obob2ob2o2bobo3bo2bobo3bob
ob5o2bobo$o4bobo4b2o7b3o2b2ob4o3b2ob4o3b3o5b3ob2ob3o2bob4o2bo3b2obob6o
3b2obob2o2b3ob2o3bo3bo2b3obo2b2o8bo3b3o2bo3bo2b2ob3ob2o4b2o2bobob5obo
2bobo7b3o2bo2b2o$3b2ob3o3b4o2b3ob2obob2obobobob8obo2b2o2b2obo3bo5b5ob
4obobo3bobob3o2b5o2bo5b5obo2b2o2b2o3b3o7bobob2ob2ob6ob3o2bobo2bo3b2ob
2o2b3obo2bo4b3o2bo2b5o2b3o$bo2bo2bobo3b2o3b7obob2ob2o3bo2b2ob4o2bo2b2o
4bobo3b2o2bo3bo2b2o4b3o4bo3bobo4bo2b3obobob3o2b2obo3b2o3b6o2b2o3b9o2b
2obob2obo2bobob5obob2ob4o2bob4o2bo3b3o$ob5o2bobo4bo3b6o3b3obobo2b2ob2o
bob8o3bobo2bobo3b6obo3bob3ob2o2b2o4b2o9bobob3o4bob3o5bo2bo3b3ob2o2b6ob
ob8ob2o4b2ob2o3bob2o3bo2bobob6o2bobo$o2b5o2bo2bobob2obo3bob2obob3o2bo
3b2o2b4o3bo2bo2b2ob3obo3bo3b2obob4o2b2obobobo4bob11o4b2obo3bo3bobo2bo
6b3o2b5o3bobob3obob2o5bo4bobo2bo4b2o2b3obobob2ob3obo$3obo2b5o2bob5ob5o
2bo4b2ob2o8bo13b4o6bob3o2bo5b2obo2bob2obobo5b3o3b7o4b3o2b5ob2ob3o2bob
2obobo2bo3bobob2ob5o2bobobo2b2ob2o3bobobo2b3o3b2obo$b2obob3o2b3ob2o2bo
bob2o2bo2bob3o11b2o3bobo2b3ob2o2b5obob5o2bo3b4o3b2obo2b4obo3b4o3b4o4bo
b2o8bob4o2b5obobo2bobo3bob3o2b4ob4ob9ob2o2b2o5b4o$3o4b3o2bo3bobo4bo2b
2o3bo3bo6bo3bo9bob4ob3obo2bob2o2b2o2b2obobobob12obo2b4o3bob2o4b4o2bobo
b3ob2obo2bobo4b2o3b3ob2ob2o2bo4bob2ob2o2bo2bobo3b2o3bobo4b2o$b2ob4o3b
2o3b3ob5o2bob2ob3o4b5o2bo4b3obo2b3o2bo2bo9bo4bob3o3bo3bo2b2ob2o2b2ob2o
2b7obobobo2b4obob2o2bo2bobob2o2bobob4o3b2o5b2ob2ob3obo2bo6b2o2b2o2b2ob
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2o4b5obo4bo2b2o2bob4obobob3o2bo2b2obobob4o2bobobo2b2obobob4obo2bob2o2b
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2o3b5ob2o5bo2b2obo4bob3ob2ob6o3bo3bob2obo5b2o2b4obobo5bobo2b4ob7ob2ob
2obob2obobo$2o2b6o2bob2obobo3b2o2bobob4obo3bo2b2obo2b3o3bo3b3obobob3o
3bo2bo3b2o5b2obo4bo3bo3bo4bob2obob3ob5obob2obob2obobo2bo4b3ob2o2b2obob
3o4b2o3b2o8b2ob2o2b3o3b2o4bo$5b2o2b5o2b4o2b2ob3o3bo2bob7o3b4ob3o2b2o4b
4o2bobob3ob3obo2b3obo2bo2b5o2bob5obo2b3obob2o4bobob2o2b2o4bo2bo2bo2bo
4bo2b2o3b2o2b3o4bo3bob2ob5o4bob2obo2b2o$3o2bob2o5bo2b2obo3b3ob5o2bobo
3b2o4bo2b2ob5o5bo3bob2o4bo3b5o4bo2b2obo2bob6o2bo3bo2b4ob3o4bo3b5ob2o2b
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2bob2o6bo3b2o8b6o3b2ob3ob4obobo2b4o3bob3o3bobob3o3b2o3b2ob2o5b2o2bobob
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2bo2b2obo5bobo3b2ob2ob2o2b2ob3o3b2obobo2b2o5bobobo4bo2b2o3b4o3b3o3bo3b
2o2b5obo2b4obob4obo6b2ob3obo2b2obo2bob2ob3obo2bobob5o2b2o2b2ob3o3b3obo
2bobo$2bo2bob2o2bobobobo2b2o2bobo6bo3bobo3bob2o2bob4o4b2ob2obob2o5b2o
2b2obo9b3ob2o3b4ob3obo2bo6bo2b3ob2o3bo2bo3bo3b2obo2bo6bob2ob2o2b2ob4ob
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2b2o3b2ob2o2b2o3b3o3b6o2b3o4b2o4bo2b2ob3o2b2o2bobo5b2obo2bobo2b2obo2b
5o2b5o2bob2o2b2obob5ob2obo5bo3bobob2o2bo$2b2ob4o5bob2o2bo2b3o7b2o8b2o
5bobobo4bo6b3o2b6ob3ob4obo2bob2obob3ob3o2b10obo3bob3obobo6bob4o5b3o2bo
bo2bo4b3o2bo2b5ob6o2b2o4bo$2b2o2b2ob2o4b3o3b5o3b5obobob6o2b4obob2obobo
2bo6bob3o2bo2bo3b5o3bo3bo2b2ob2obo14b3o2bo2b2ob4obo4bo3bob3obo2b2obo3b
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3bob3ob5o4b3obo2bobob4obo4b6o2b3o5b3o2b2o2bobo4bobo3bo9bo2b2o6bob3o2bo
5bob2ob2o2bo2b2o2b4ob5obob3o$2bobobobob5ob4o4bob4ob2obo2bobo5b2o3b2o3b
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4bobobo2bobob2o4bo2bo2b2o3bob3obo5bobo3b3o$o2b3obo2b2obobob5o3b2obob3o
2bo2bobob2o5b6o2bob3o3bobo3b3obob3obob2ob2obobo2bob2o5b6o2bob3ob3o3b4o
2b2o2bo6b3o3b3ob3ob3ob2ob3obobo3b5ob2ob2o5bobob2o3bobo$bo2bobo3bo2bo2b
2obo4bob2o3b2o2b2o6b2obob2obo3b2obob2ob7o5b3ob7ob2o4bob3obo3b2ob2o3b2o
bobo2bob3o2b3o4b2o3bobobob3o6b3obo2b3o3b2ob2ob2o2b3ob2o3bo7bobo$bobob
2ob8obo6b3o3bo2b2o2bob2ob4ob4obo4b2o2b2o6bobo3b2obo2bob2obo4b6o4bob4o
2bobo3b2o2bob8ob2ob4obo8b2obo2b3obo2b3o2bobob5obob4o4bob3o2b2o3b3o$2o
2b2ob6o5bo3b3o3b3o2b3obobo3b2o2b2ob2obobob3ob4o10bobo2bo7bob2o3b2o6bo
3bo2bobo2bo2bo6b2o2b2obo4bo6bo2b10ob6o5bobobo4b6o2b5ob2ob3o$bobob2o2b
2o2b4o2b4obobobo3b2obo3b2ob2o2b2ob3o2b2o2bo2b2obo3b4o9b4o3b2obo3bob8o
2bo2b4ob2o4b3obob2o3bo2bob2o2b3obo2bobo2b4ob3o2bob2ob6o4bo2bo3bob3o2bo
2bo2bo$3bob2ob2ob6o2b2obob2obo2b2o2b4o2b2o3b4obobo2b7o3b2o4bo3b2obo3b
7o3b3ob2o3bobo2b3ob3ob3ob2ob2o3b5ob2o4bo3bo3b3o2bobobob8o3b2obo3bo2b5o
bo2bob3ob2o2bobo$b2obo4b2obo3b7o3bob6obob3o3b2ob2obobobob3ob3o2bo2b2ob
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2bob2ob2obo2b2o2bo2b8ob2ob2obobo$3bo2bob2ob2ob3o3b3o5b3o2b7o2b2ob2obob
3o2b3obob2o2b2o2bo2b3o3b2ob2o7b4ob2o2bo3b2o5b2obob3ob2obobobo2bobo2b2o
2b10ob2o5bo2b6obobob3ob3obobob2obob2obo2b4obo$o3bo3bob8ob2ob3o3bo2b2ob
2o3bobobob2ob3o2bobo3b3o3b4ob5o5bob2o7b4o3bobob2obo3bob2obo5bobo3b3o3b
obobo4bobo2b2o4bobo7b4obo2bo2bobob3o4b3ob3ob3o2bobo$obobobo6bo3bo2b2o
2bob2o3bo2bobobo2b2obo2bob2o5bob5obob2obobo2bobo3b10ob4ob4o2b3obo3b3ob
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6bo2b4ob2o2bob2ob2obobobobob2obo4b5o2b2obobob2o5b7o7bo2bobo6b2o2bo5bob
2o2bo4b2ob2ob2ob5o3bo3bobob3o2bo4bob2obo3b2o4bo3bo2b3o2bo5bobo2b2ob4o
2b2obo$o7b2ob4obo3bo5b3obo2b6o2bob2o2b2o2bobobo4b8o2bo3b6ob3obob2o3bo
2b2obo4bobob4o3b4o4bo2bob2o2bo2b5o6b2o2bobobo2b2obo2bo2b5o3bo2b2o4b2ob
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3b2ob2obobob3o3b4o3bo3b3o2b2obo3bo7b4ob3obo3bo2bo3bo2b9o2bob2o2bo2b8o
3bo2b6o6b2o3bo$2ob4obo2b2ob2ob2o2bo2b2o2bobo5b6ob2ob2o3bo2bobobo3b3o8b
3obo2b2ob5o2bo4bobo3bo2b4ob2o5bobobob3o2b2obobob2obob2obob2obo2bobo5b
2ob2o2bo2b7o3b2o2bob6ob4o3bo$obobob2o3b4o3b2o2b5o2b2obo8bob2o4bobo3b4o
bobo2b3obobo2b2ob2o4b3ob2ob2obob3ob3obob6o3bob4ob4ob3o2b3o5bo4bo2bo2b
4obo8b3o3bo5bo4b2ob2o2b3o4b2ob2o$ob3obobo2b9obo2b2obob2obobo3b2o3bo2b
2obo2b2o2b3o3bobob3o2b2o2bobobo3bobob3o2bobob3ob3o2b3ob2o2b3ob4o2bob2o
b2o2b2ob2obobo2bo3bo4bobob2ob3obo2bo2b7obo3bob3o2bo2b2ob2o2b2o$3obo2bo
3bobo2b2obobo2b2o3bob3obobobobobo4b5o3bob3ob2obob2obo2bo2b5obobo4bo2bo
2bo2b3o2bo4bob2o5b3ob2ob3obo3b2o6b3obob5o6bob2obo3bob2o2bo2bo2bobo3bob
2ob2obobob2o$4o3bobobob6o2bo3bo2bob3obo2bo2bo3bob3obob2o4b3ob3o2b5o4b
2ob2o3bobob2obo4bo2bob4o2bo5bobo3b4obob4o3b2o3bo3b3obo3bob2obob2ob3o6b
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2obo4b2obob3obob2o2b2o3bo2b2ob5o2b2o2b2o2bo4b7o2b2obob2o2b4o2b8obob2o
2b2obob3ob3o2b2ob2obob3o2bo2bob2ob3o5b2o2bob2o$2b4o2b7o5bo4bobo2b2o5b
2obobobo4b6obo2b3obobo2b10o2b2o2bob2ob2o3bobo2b2obob2ob3o3bobobobo2bo
2b6o2b2o3b3obo2b3o12b3o2b2o2bobo2bob2obobobo3bo4b8o$3bob2obob2obob2o2b
obobob3o2bob2o2b2obo2b2o2bob2o2bo3b3o2b2obo2b2obo3b4obo5bob2o3b2o3bobo
bo6bob2o3b2obo2bo2bobobo5b2o2bo4b2o2bob2obobobo3bob3o5b2o2b3o2b5o3b2ob
obobo2bo$3bo3b5o2bob3obob3ob2o3b2o2b2ob2ob2o7bobobobo2b3o3bob2ob2obobo
b2obo4bobo3b2o2b2obobo2b2o2bo4b2o2b5obo3bo2b4o5bob2obob3o3b3ob4o6b2o4b
4o2bo2bobobo3bo2bo2bobobo$o2bo2bo8bo6bo2bo2bobo4b3o3b2obo2b3ob4ob2o4bo
b2o3bo3b3o2b4ob4o3bo5bobo3bo4bob2o2b2o2bob3obobo4bo4b5ob2o2b2ob4o2b2ob
o3b3o2b2o2bo6bobobo2b4o3b3ob5o$bo3b9o3bob3o3b10o2b5o3bob2o2b2obo3b2o2b
4obob7o2bo4b2o3b2o2bo2b2o2b2o4b3obob2ob2o3bobob7o2b2o6bob9o2bo4b2ob2o
4bobo3bo2b2o2bobob5o3bob2obo$2bob2obo2b3ob3o2bob2o3bob5obob11ob6obo2bo
2b2o3bob4o2bob2o3b2o2b2o2bo3b2o2b2obo2b5ob4o2b3ob2obobo3b2o2b3ob2obo4b
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3obob2o2b5obo4b2obob3o2bo3b2obobo4bob5o6b6o3bo3bobo3b4o6bobo6b3o4bo2b
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2o5b3o3b2o2b2ob4ob4obo2bob3obob2obob2ob3o2bo2bo2bob3o4b2o2b2ob2o3bo2bo
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ob2ob3ob4o$2bo3bo6bo2bo3b3o3b5o4bob2o2bobo2bo2bo3bo2b4obo3b2ob3ob3o2b
3ob2ob2ob4o6b5o3bob3o5bo3bo2b2obob2obob3o4b2obo4b4o2bobo5b3obobo2b6o2b
4obobo3bo4bo2b2o$bobo3bob3o4bo2b3o3bo2b3ob2o2bobo5bo4bo2b3obo2b5o2b2o
3b6o3b2ob3obobo2bo4bob7o2b3ob2o3b3o2bobo3b3o2b2o3bo2bo7bob3o2b5obo3bo
2b2ob3o3bo2b6o6bo2bo2bo$2bobo2bobo3b2obobo2b4o3bobobo4bobo4b3ob3o2bo2b
2obo5b2o2b2obo3b4ob2obob2o5b2obob2obo2b2obobobob2o2bobob2obo3bob2obobo
3bob3obobobo5bo4b2o2bobob2obo2bo4bo2bobobob3obob3ob2o$2o2bo3b3obo2b2ob
4obob5ob2o2bo2b4ob2o2bo2bobo3b2ob3o4b2o2bo2b3o2bobobo2bob2obo3b3o2bo4b
2o2bo2b3ob2o2b4o4b4o6bo4b4obo4b2ob2obobobo3bob3obob2ob3o4bobo2bo2bob2o
bobo$o3b3o2b2ob2o2b2ob4obo3bobobo2b2o3bo4b2o4bo6b2o3b4obobo3b5ob2ob2ob
2o2b2o2b2o2bob3o2b2ob2o5b2obob3obob2o2b2o2bobo2b2o2bo3b4ob6obo3bo10bob
8obob6ob3o2bo$4obob2ob3o2bo4b6obob3obo2bobo4bob4ob2obobobo3bo3b7o2bo2b
5obob3obobobobo3b2o6b4o4bob2ob4obo2b2obo2bob2o2b4ob2o2bo7bob4o8b3obo5b
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2b2o3bob2o6b2o3bob2ob5o2b6o2bo$bob2obobo2bobobo7bo2b3o4b3o3bob2ob4o4b
4obobob3o4b2o2bob3o2b2ob4o4bobo3b2ob2o2bobo2b3ob2obo3b4o3b3o3b3o3bob4o
2bob2obob2o5b2obo3bo2bo2bobob2ob3o2b3o2b5o2bobo$2ob2o3b2o2b2o2b5o4b4ob
3obobobobo2bob2o2bo2b5o4bo3b7o2bob2ob2obo2bob2ob2ob4ob6o4bobob7obob7o
7bo3b6obo3bo5b3o2bo2bob2ob2o2bobob3o2b2ob2obob7obo$bo2b2obob2o2bo2b4ob
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2b4o2b7o3b2o2bo6bo5bobob4o2bo3b3obo2bo4bo4bob2ob3ob6o3bo2bo2bo3b2ob3ob
3o2bob3o3bo2bob2ob4obobo2b2ob4obo4b2ob3o4b4o5b2ob3obo3bo3b2obo2bo2bo$b
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2obo3bo$o2b2o3bo3b2o4b2obob4o2b3obo2bo4b2ob2obo4b3o4b3o4b2ob6ob2o2bo3b
3o4bob4ob3obo2b2obob5o4bo3b2o3bobo3b3obo2bob2o2bo4b2o3b2obobobob3obobo
bob2ob4o3b3o2bo2bo3bo$4o3b2o4bo3bobobo2bob2obob5ob2ob2ob2o2b2obobo4bo
4b2o2bo2b2obo2bo2b3o2b4obo3b3o3b8o2b2obo2b4o2b2o3bob3obo3bob3o3b2ob4ob
2ob3obo2bo2bobob8ob2o2b2o3bobobob2o4b2o$2b2o2bob2obob2o2bo6bobo3b3ob3o
2bo2b3o3b4ob2o5b3o2bo2bo3bob2o2b2ob4o3b5o3b5o2b4ob2obob2o3bo3bo3b2obob
6o2b3o7bob5ob3obob6o2b2o2bo2bo3b2obo4bob5obo$bob2o2b2ob2o2b2o2bob2obob
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4bobob2o2bob2obo3b3o3bob2obobobobo3bob4obob4obo3b2ob4ob4ob2o3b2obobobo
$3bobob2o2bob3obo2bo3b2o2b4o2bobo2b2o6b2obob2o5b4o3bob2obo2b8obobobob
2o5bob3o2bo2b3ob2o2b4o2bo2b3o7bobo3b2o3b6o4b2o2b5o3bobob5o2bob2obobo2b
2obobo2b4o$2obob4o3bo3b2ob3o2b3o3b6ob3obob2ob5o3b3o10b2ob6o2bo2b2o2bob
4o3bo7b3o9b2o3bo3bob2o2bobo3b2o3bobo3bo2b8ob4ob7ob2o2bobob6obo2bobo4b
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3o2b3o2bo$3ob2o4b2o3b3obo3b2o3b4ob3obob2obob2obob2o3b4obo2bo3b2o7b3obo
b3o2b4obobo3bob2o6b3obob2o4b3obobob3ob2o3b2o3bobo3bob2obo3bob3ob4ob2ob
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2bob2o5b2o10b5o2b3o8bo2bob2o2b4o3bobobob4o2b2o3b5obob3ob2ob2o3b2o4bo2b
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3b8o2b3o2bo6b2ob3o3bob4ob3ob2obo2bob3o2bo3b3o2b2o2bo$o2bob3obobo2bo3bo
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b3ob2o2bo$bo2bo5bo6bobo2b2o3b2o2b2ob6obob4obo5b3o2b3obob2ob5ob3o5b4ob
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7obobo3b2o6bo2b4obo2bob3ob3o$3o4bob2obobobo2b2o2b2ob2o2b2obo2bo2b4o2bo
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3bo2bo4bobobo2b3o6bobo2bobo3bo2bobo2bo2bo4b2o3b2o5bo3b2ob2obobo2bo2b3o
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10o2bo6bobo4bob2obo$bo4b2obobobobo4bo2b6o2bobo2bobobobobobo2b2obob3obo
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2o3bob2obob2ob3o2b3ob2ob3obob2o2b2ob2obo2bo3bo2b3obo2bobo2b4obo2b2o4b
4o2bo3b8ob2ob2o3b2o2b3ob4o3b5o2b3o2b5ob3ob2o2bobob2obo2b3ob2obobo$o2b
2o2bo2bobo2b2obobo2b3o4b3o3bob3o5b2o2bo2bob6o3bob2o4b2o3bo2b4obob2obo
4bobo5bob2obo6bo3bob6o2b3ob2ob2obo3bo5bob2obo2bo3b2o7b2ob2ob3ob2o2bob
3o3bobob3o$5o3b2obobo3bo3b4o2b5ob5obo4b2obo3bo4bo2b3obobobo3bobo3bo2b
2o2b2o4bo2bobo6bobo2bob3o3b4ob3o3b2obo2b2ob6o2bob4ob2o2b2ob3o2b3o2b2o
2b3o4b6ob2ob2o4b2ob3o$2b4obo2b2o3bobob3obobob4obo2b3ob3obo2bobob2ob2ob
2o2bob4o3bobo2b2o3bobob3obob2obobob2o2bo2bob4o3bobo2b2o2b5o3bo2bo2bob
2obobo2b2o3bobobobobobo2b4o2b2o3b3o5bobobo2bobo3bo2bo$obobobo3b3ob3o2b
3ob2o2b3o2bo2bo3b2o2bobo2bobo5b2ob2obobob4o2b2ob2obobob2o3b2ob2o2b2ob
3o5bob4o2bob5o2bo3b2obob4ob2o4b3obo3b2o3bo4b4o2b3o3b4obob3o2b2o3b2ob3o
4bo$2bobo4bo2b4obob3obobo3b3ob3o7bob4o4b2obo3b2o2bo2b3o2bob3ob3ob4o3b
2o2bob3obobobo3bobob2ob2obob2ob3o2b4obo2bo3b6o5b2o3bobo3b3o2bob2o2b3ob
o2bo2b3o2bo2bob2ob2obo$o3bobobob2obob3ob3o2b3ob2obo2bo2bob2obo2bobo2b
2o3b4ob2o2bobob2obo3bobob2ob6ob5ob3ob4o3b2obob2ob6ob2o3bobob2o2bob2ob
4o3b2o3b2o5bo2bo2bobo2bobo3bo2b6o4bobob2o3b2o$2b2ob2obob5o2bo2bo2bo3b
3o2bo2b2o2b2obo3b2o2b2o2bob3ob4obo5bo2b7obob4o3b3obobob3o6b2o2bobo3bob
3o2b5o5b2o2bob2o3bobo2b2o5bobob2o2bo2bob2o3b4o2bo4bobobob2o4bo$bobo2bo
bo2bo3b4ob2o2bo2bo3b2ob2o2bo2bo2bo2b2obo4b7ob2ob2o4bob2obobo2b4o2bobob
o2bobo2b3o2bobo3b2o3bob6obobob2o4bob2o7bobo6bob2ob3o2b2o2b2ob2obobob2o
4b2o3b3o4b2o$ob2obobo4bo3b2o5bo3bob3ob3obo3b3o3b2ob2o2b2o2b3o5bob3ob3o
4bob5ob2o5b2o4b3ob3obobo2b2o2bobo2b2o6b2o3b3obo3b3o2bobobo4bobo2b2o5bo
3b2o2bo2b3ob2o2bob6o2b2o$2o4bobo2b3o3b3o2b3o5bo3b2o2b2ob6obobo4b4o3b2o
b2ob2obo3b4o2bob2obo3b3ob2o2b3o4bobo2b2ob8obo3b2obo3bo4bobob2o2b2o2b2o
bo4b2ob4o2b2ob5ob2ob3obo5b4o2bo3bo$2bobo8b3o3bo3bob5obo4b2ob2obo2b2ob
2ob3o2b2ob3obob2o2b3ob5o2b2o2bob3o4b4o2bobob2obobobob2o3b3ob2o2bo2bo3b
o4b2o2b4o2b6o3bo4b2ob3ob5o3bob2obo5bobo4bo3b2o$obob6o7bobo5b2ob2obo2bo
b5ob3ob2ob8ob2ob6ob2obob2obob4ob3obo4bo3bob2obobo2b3o4bob2ob3o2bo2b2ob
5o3b4obob2ob2o3b5o2bob5obob2o3bo3b2o3bo2b2ob3o2b3ob2o$b2ob2obob3obob6o
bobobo2b2o2b3o3bob2obo3bo2bo2b3o2b2o2bo6bo6b3obo2bo2bo5b8ob2o3bo2bob4o
b2obob4o3b2o2b4o4bo2b2ob3ob2o9bobob3o2bob2ob4o3b2o2bo2b2obobobobo$o2bo
bo3b4obobo4b3o7b2obo2bob6o2b2ob2obo4bo2bo9b2o3b3o3bob6obo3bob2o2b3obob
2ob2ob2o2b2o3bo2bob2ob2o2bo2b4ob2o5bo2bobo3bo4bob2obo2b3obobo2b2o3b2o
4bo2bob2o$bob2o3bob5o3b5o2b4o3bob6ob6o3b2o4b3o2bob3obobo2b3o2bo2bob2ob
2ob2o3b2o3bo3b3o2bob2obo5b3ob2ob2o2bo3b2o3b2obobo2b3obob2o2bobob5o2b2o
2b3o4bo2bo2bob3obob5o$2ob9o2bob2obo2bo4bo2bobo2bob3o2b6obob2o4bobo2b4o
4bo3bo2bo4b5obob2o2bobob2ob2ob2ob3ob2obob6o3bob2obo2bo3b2o3b2ob3o2b4ob
2o3bobo3bo2b2o2bobo4b6ob2ob3o3bo$3bo2b4o2bo3bo2b2ob6obobobo3b7o6b2obo
3bob2o3bob2obob3ob2obo2b2obo5bo2bob3o2b5ob4o3bobobob2o4b3o3b3o3bobobo
3bo2b4ob3ob2obobo2bo4b2o8b3o4b2ob3o3bobo$3obo3bobob4ob2o4b2o2b3obo2b3o
2b4o2b4ob2ob5obo2b4ob2ob3o2b2ob2obob2ob2ob2ob6obobo3bo2bo4b5obobo2bo2b
o2b2obobob2o3b2o2bo3b4o5b2obob2o5b3obo3bo2bob2o2b2ob2obob4o$2obobob2ob
2o3bo2bob2o5b2ob2ob3ob2ob2obobo3b3o5bo2b3o2bobo2bob2o4bobo3b2o9bob2obo
2bo2b3o3b2obob2o3b8o4b5obob2o2bo4bo3bob2obo3b2obob6o6b3obo4b2obo3b3o$
3ob5obobo2bo3bobo4bob9o2bob2ob2o2bo3b2obo3b2o3b2o7bobo2bobobob2ob2ob8o
6b5obob2ob2ob2obo2b2o3bo2bobo2b2ob3o2bo2bo5bo3bo3bobo2b2o4bo2bo8b4ob2o
3b3o$4o5b5ob2o2bobo3b6o5b6o2b5o2bobobobob3obo3bobo2b2o2b3o2b2o3bo2bobo
5bob4o2bo2bo2b6obobo2bob5obob3ob2o2bo5b3obob6o2bobo2bo3b4o3b3obobo6b5o
$3bobo3b2ob3ob2ob2ob2o3b2o3b2o9bo3bo2bob3obo2bob2obo3bobob2o4bo5bob3ob
2ob2ob3o2b2ob2obob3o3bo2b6obo2bobobobobobo2bo2b2ob2obobob2o5bob2o2b2ob
ob2ob3o2b7ob2ob2obo2b2o$b5o2bo2bo3b2ob4o2b3obo2bo4b3ob2o3bob4o5b2ob3o
3bobo4bobobo5b2obo3bo4b4ob2o2b2obob3o5b2o2bo3bobobo2b3o3b2o2bo7bo2b2o
4b5obo4bo2b2ob2o7b4o2bobo3b2o$2o2b3ob3obo3b2o2b2o3b6obo2b4ob2o3bobo2b
2o2bobo3b5o4bo6bobob3obob4o2bob2ob2o7b3o2b5obobo2bob2ob3o2b3o3bo3bo2bo
b2o2b2ob3o2bo5b3obo2b2ob2o2bob4obobo2b2ob3obo!
Patterns in this rule stabilize extremely slowly into diamond-shaped stairstep agars with diamond-shaped shrinking chaos in the middle. This pattern abruptly stabilizes at generation 9,788,068.
That's the bunny. (she/her)

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LuveelVoom
Posts: 463
Joined: April 27th, 2022, 7:59 pm

Re: Rules with interesting dynamics

Post by LuveelVoom » October 29th, 2025, 2:20 pm

rabbit wrote:
October 29th, 2025, 12:56 am

Code: Select all

x = 200, y = 200, rule = B2ck3-jny456ac/S
...several kilobytes of server space...
Patterns in this rule stabilize extremely slowly into diamond-shaped stairstep agars with diamond-shaped shrinking chaos in the middle. This pattern abruptly stabilizes at generation 9,788,068.
B2-a45678/S02c3a has similar behavior, except the edges are alternating zebra stripes and weird growing c/3 spines escape out a couple thousand cells until they are killed by little c packets going up their midpoint. Try running this pattern a few times:

Code: Select all

x = 650, y = 650, rule = B2-a45678/S02c3a
b!
[[ RANDOMIZE RANDWIDTH 650 RANDHEIGHT 650 ]]
OCA primer (WIP): User:LuveelVoom/A_Primer_On_OCA
My rules: viewtopic.php?f=11&t=6843
YBOCAD: viewtopic.php?f=11&t=7036
Discord user: LuveelVoom

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R2INT
Posts: 775
Joined: July 2nd, 2024, 7:42 pm

Re: Rules with interesting dynamics

Post by R2INT » October 29th, 2025, 2:26 pm

c/2

Code: Select all

x = 34, y = 20, rule = B2-a45678/S02c3a
6bobo16bobo$4bo5bo12bo5bo$2bo2bo3bo2bo8bo2bo3bo2bo$4bo2bo2bo12bo2bo2b
o$3bo2bobo2bo10bo2bobo2bo$bo2bobobobo2bo6bo2bobobobo2bo$obobobobobobo
bo4bobobobobobobobo$b2obobobobob2o6b2obobobobob2o$obobobobobobobo4bob
obobobobobobo$3obobobobob3o4b3obobobobob3o$b2obobobobob2o6b2obobobobo
b2o$4bobobobo12bobobobo$4bobobobo12bobobobo$4bobobobo12bobobobo$6bobo
16bobo$6bobo16bobo$6bobo16bobo3$25bobo!
EDIT: c/4

Code: Select all

x = 7, y = 17, rule = B2-a45678/S02c3a
2bo$5o$5o2$2bo$bobo$3bo2bo$o4bo$2b2o$2bo$bo2$ob2o$4bo$bo$3bo$5bo!
EDIT2: c/5

Code: Select all

x = 18, y = 21, rule = B2-a45678/S02c3a
3bo10bo$bobobo6bobobo$3b2obo4bob2o$b2o12b2o$3b4ob2ob4o$b2o3b2o2b
2o3b2o$o2b2obo4bob2o2bo$obo2bo6bo2bobo$2b3obo4bob3o$bo5bo2bo5bo$
3b2o8b2o$3bobobo2bobobo$4bo8bo$2b3ob6ob3o$2bob2o6b2obo$6b6o$2b2o
bo6bob2o$bo4b6o4bo$6bo4bo$4bo2bo2bo2bo$2bo12bo!
Range-2 INT
R2INT's Rule Collection

Currently missing OCA catalyst search software and OCA conduit search software (the one I have is hardcoded to B3/S23-a5)

102564
Posts: 29
Joined: October 27th, 2025, 6:32 pm

Re: Rules with interesting dynamics

Post by 102564 » October 30th, 2025, 11:28 pm

A crystallographic defect rule where the vacuum, B4c dots, p2 zebra stripes, checkerboard, and antivacuum agars all appear commonly:

Code: Select all

x = 400, y = 400, rule = B2ac3ckny4ciy5cr678/S2c3cy4ce5aeij678:T400,400
b!
[[ RANDOMIZE RANDWIDTH 400 RANDHEIGHT 400 ]]

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I6_I6
Posts: 732
Joined: July 26th, 2025, 8:44 pm
Location: Here, there, somewhere, anywhere, everywhere.
Contact:

Re: Rules with interesting dynamics

Post by I6_I6 » November 2nd, 2025, 9:03 am

pifricted wrote:
August 29th, 2025, 1:38 am
(It's so strange. I can't describe it):

Code: Select all

x = 16, y = 16, rule = B23/S45678|B/S345-i6-c78
2o2b4ob7o$b11ob3o$2obob3ob3obobo$bob3ob2o2bob3o$2o2b4o4bo2bo$4o2b3o2b
2o2bo$ob9ob2obo$o2b5ob5obo$b11obo$b2o2bob5ob2o$2o2b3ob3ob2o$7o2b2obo2b
o$obobo2b2o4bobo$2bob3ob6obo$4o2bob6obo$3ob2obob3obobo!

Code: Select all

x = 16, y = 16, rule = B23/S45678|B/S345-i6-ce78
3o2b4ob6o$b4ob10o$3o2b11o$3ob12o$b3ob11o$16o$8ob7o$b10ob4o$3ob9ob2o$4o
b11o$2ob6ob6o$ob14o$10ob5o$16o$8ob7o$7o2b7o!
That has got to be one of the weirdest rules I've ever seen.
I'd describe it as diamonds that are unstable and decay on one side but grow on the other while the decaying side occasionally produces even more diamonds.
How do I run that rule on Golly?
EDIT:
Running it in a bounded grid makes it stabilize into a very dense state after a while.
EDIT 2:
A spaceship (3c/28d):

Code: Select all

x = 4, y = 4, rule = B23/S45678|B/S345-i6-c78
bo$2o$4o$b3o!
And a p4:

Code: Select all

x = 4, y = 4, rule = B23/S45678|B/S345-i6-c78
2bo$b3o$3o$bo!

Code: Select all

#C [[ THEME Golly ]]
x = 27, y = 15, rule = LifeHistory
8.A$A6.A.A$3A4.BA2B.B2D$3.A4.2B.2B2DB$2.2A2.3B.6B2.3B$2.20B$4.19B$4.2B
C10BD4B$4.2B2C10BD4B$4.B2C11B2D3B$4.13B2D4B$5.12BD3B.B2A$6.13B3.BA.A$
6.3B.B3.B10.A$25.2A!
User:I6 I6/Elementary Emulators

102564
Posts: 29
Joined: October 27th, 2025, 6:32 pm

Re: Rules with interesting dynamics

Post by 102564 » November 2nd, 2025, 10:39 pm

A rule where transient patches of B2c dots appear in the chaos, which is surrounded by somewhat larger patches of B2c dots:

Code: Select all

x = 64, y = 64, rule = B2cen3cjkny4ajknqr5knq6ikn7e/S2ekn3ajkqy4-aekrz5-eky6-ac7e8
o!
[[ RANDOMIZE ]]
Large enough soups will expand forever.

User avatar
R2INT
Posts: 775
Joined: July 2nd, 2024, 7:42 pm

Re: Rules with interesting dynamics

Post by R2INT » November 4th, 2025, 2:18 pm

c/4

Code: Select all

x = 35, y = 28, rule = B2cen3cjkny4ajknqr5knq6ikn7e/S2ekn3ajkqy4-aekrz5-eky6-ac7e8
2bo2bobo2bo12bo2bobo2bo$3obo3bob3o8b3obo3bob3o$4obobob4o8b4obobob4o$2o
bo5bob2o8b2obo5bob2o$5o3b5o8b5o3b5o$2bobo3bobo12bobo3bobo$3b2o3b2o14b
2o3b2o$3bo5bo14bo5bo$bobo2bo2bobo10bobo2bo2bobo$2b3o3b3o12b3o3b3o$b2o
bo3bob2o10b2obo3bob2o$2b3o3b3o12b3o3b3o$bobo5bobo10bobo5bobo$4b5o16b5o
$2bobo3bobo12bobo3bobo$6bo20bo2$22bobo5bobo$22b2o7b2o$23bob2ob2obo$21b
3o2b3o2b3o$20b3o2bobobo2b3o$22bob7obo$21bob2ob3ob2obo$21b13o$23bobo3b
obo2$26bobo!
EDIT: c/3

Code: Select all

x = 72, y = 22, rule = B2cen3cjkny4ajknqr5knq6ikn7e/S2ekn3ajkqy4-aekrz5-eky6-ac7e8
13bo3bo36bo3bo$10b2o2bobo2b2o30b2o2bobo2b2o$7b2ob2o2bobo2b2ob2o24b2ob
2o2bobo2b2ob2o$4b2ob2obobobobobobob2ob2o18b2ob2obobobobobobob2ob2o$3b
o2b4o2bo5bo2b4o2bo16bo2b4o2bo5bo2b4o2bo$2b3obo5bob3obo5bob3o14b3obo5b
ob3obo5bob3o$bob2obo2bo2bobobobo2bo2bob2obo12bob2obo2bo2bobobobo2bo2b
ob2obo$2b2obob2o13b2obob2o14b2obob2o13b2obob2o$2o5bo5bobobo5bo5b2o10b
2o5bo5bobobo5bo5b2o$obob2o2bo2b2o5b2o2bo2b2obobo10bobob2o2bo2b2o5b2o2b
o2b2obobo$2b2o2bobo3b7o3bobo2b2o14b2o2bobo3b7o3bobo2b2o$b2obo3b2o2b3o
b3o2b2o3bob2o12b2obo3b2o2b3ob3o2b2o3bob2o$b2obobo5b3ob3o5bobob2o12b2o
bobo5b3ob3o5bobob2o$bobob2o3bo2b2ob2o2bo3b2obobo12bobob2o3bo2b2ob2o2b
o3b2obobo$2b2o10bobo10b2o14b2o10bobo10b2o$o3b2o19b2o3bo10bo3b2o19b2o3b
o$3b2o8bo3bo8b2o16b2o10bo10b2o$3b4o7bobo7b4o16b4o17b4o$ob2obo19bob2ob
o10bob2obo19bob2obo$b7o7bo7b7o12b7o15b7o$2bo2b2o17b2o2bo14bo2b2o17b2o
2bo$2b2o23b2o14b2o23b2o!
EDIT2: c/5

Code: Select all

x = 95, y = 61, rule = B2cen3cjkny4ajknqr5knq6ikn7e/S2ekn3ajkqy4-aekrz5-eky6-ac7e8
7bo$3b3o3b3o12bo3bobo3bo8bob3obob3obo7bob3obob3obo6b4o3b4o$b3ob5ob3o11b
obo3bobo11bo2bobo2bo11bo2bobo2bo8b2o2bobo2b2o$2b4o3b4o9bob4o3b4obo6b2o
bo2bo2bob2o7b2obo2bo2bob2o5b4ob3ob4o$o2bob5obo2bo7b3o2b5o2b3o5bo2bob2o
b2obo2bo5bo2bob2ob2obo2bo4bobob5obobo$2b5ob5o10bobob2ob2obobo9b9o11b9o
8b3o2bo2b3o$2bo2b2ob2o2bo12b2o2bo2b2o51bo3bo$4b2o3b2o14bobo3bobo12bo5b
o13bo5bo12b5o$2bob2o3b2obo14bo3bo15bo3bo15bo3bo13b5o$4bobobobo15b7o15b
obo17bobo13b2o3b2o$4b3ob3o16bo3bo53bo3bo$4b3ob3o16bobobo15b5o15b5o12b
2o3b2o$4b3ob3o16b2ob2o15b2ob2o15b2ob2o13b2ob2o$3b4ob4o13b2o5b2o11bo2b
3o2bo11bo2b3o2bo11b5o$3b3obob3o14bo2bo2bo12bo2bobo2bo11bo2bobo2bo12bo
bo$b2o2bo3bo2b2o10bobobobobobo9bo9bo9bo9bo7b2o7b2o$3b2o5b2o13b3obob3o
10bobobobobobo9bobobobobobo7b2obo3bob2o$bo2b2o3b2o2bo12bo5bo11bob2o3b
2obo9bob2o3b2obo9bo5bo$bo2bo5bo2bo10bob7obo12b5o15b5o11b4ob4o$2bob2o3b
2obo13b2o3b2o12b2o5b2o11b2o5b2o10bo5bo$6b3o17b7o12b3o3b3o11b3o3b3o11b
o3bo$bo11bo12bob3obo10b4o5b4o7b4o5b4o5bo2bo5bo2bo$2b4obob4o14b5o13bob
5obo11bob5obo8b11o$b2o9b2o11bob2ob2obo10b11o9b11o6b3ob2ob2ob3o$3bobo3b
obo13b3obob3o13b2ob2o15b2ob2o10b2ob2ob2ob2o$3b2o5b2o12b2obo3bob2o10bo
3bo3bo11bo3bo3bo10bo2bo2bo$4bo2bo2bo13b3ob3ob3o9b5ob5o9b5ob5o$3b3o3b3o
13b4ob4o8b7ob7o5b7ob7o9b3o$5bo3bo17bo3bo13bobobobobo11bobobobobo$4bo5b
o18bo13bo4bobo4bo7bo4bobo4bo9bobobo$4b2obob2o14b4ob4o11b2o2bo2b2o11b2o
2bo2b2o11b2ob2o$3bobo3bobo14b3ob3o13b7o13b7o11b2obob2o$5bo3bo16b2o3b2o
12b2o5b2o11b2o5b2o11bo3bo$o2b2o5b2o2bo9b3o5b3o12bo3bo15bo3bo11bobo3bo
bo$bo4b3o4bo12bo5bo13bobobobo13bobobobo12b2ob2o$3bo2bobo2bo13bo2bobo2b
o13bobobo13bobo3bobo10b3ob3o$5b2ob2o15b2obobob2o12b3ob3o15bobo16bo$3b
o2bobo2bo10bo3bo5bo3bo12bo16bobobobo13bobo$3bobo3bobo13b3obob3o14b3o12b
4o2bo2b4o10bobo$4bob3obo13b3o5b3o13bobo15bobobobo$2bobobobobobo14bobo
bo15bobobo10b7ob7o7bobobobo$4b7o15bo2bo2bo13b2obob2o12bo3bo3bo10b2o3b
2o$3b2obobob2o14b3ob3o15bobo16b2ob2o13bo3bo$3bobobobobo14b2o3b2o13b3o
b3o13b2o3b2o10bobo3bobo$2b2o2bobo2b2o32bob2ob2obo10b4obob4o9bo5bo$3bo
2b3o2bo15bo3bo12b2ob5ob2o11b3ob3o10b4ob4o$27bo3bo12b11o7bob2obobobob2o
bo8b2ob2o$28bobo14bobo3bobo10bob7obo10bo3bo$4b2obob2o15b2o3b2o10b3ob5o
b3o7b5o3b5o9bo3bo$4b2o3b2o13bo2b5o2bo11b7o11b4obob4o$4b2o3b2o14b2obob
ob2o11bobo3bobo10b2o2b3o2b2o9b2o3b2o$3b3o3b3o12b5ob5o14bo15b3obob3o10b
3ob3o$25b2o5b2o12bo2bo2bo14b5o11bo7bo$25b2o2bo2b2o14bobo32b3obob3o$25b
2o5b2o13bo3bo12b2o7b2o7b3ob3ob3o$47b5o12bo2bobobo2bo8b9o$66bob3obo7bo
bo3b3o3bobo$63bob2o5b2obo6bob2obob2obo$63bo5bo5bo$65b2o5b2o13bo$63b2o
9b2o!
Range-2 INT
R2INT's Rule Collection

Currently missing OCA catalyst search software and OCA conduit search software (the one I have is hardcoded to B3/S23-a5)

User avatar
rabbit
Posts: 193
Joined: March 4th, 2024, 6:00 am
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Re: Rules with interesting dynamics

Post by rabbit » November 30th, 2025, 7:52 pm

Here is B256/S5678, a rule similar to the "IceNine" rule B25678/S5678, but clusters of cells take much longer to form.

The following 3-cell toroidal pattern forms its first permanently on cells at generation 15,905,923 and stabilizes at generation 15,908,434.

Code: Select all

x = 3, y = 2, rule = B256/S5678:T256,256
2o$2bo!

Code: Select all

#C The same pattern at generation 15,905,922, the generation immediately before the IceNine starts consuming the grid.
x = 256, y = 256, rule = B256/S5678:T256,256
2b3obo4b2obo7bo3bo11b3o6bo2bo4bo4b3o3b2obo4b2o4bo4bobo2bo2bo2bobo10bo
17b2o2bo4b2o8bo6bo2bobob2o2bobobo6b2obo3bobobo6bo4bob2o5bo2bo3b2obo3bo
2bo4b3obo5b5ob2o4b2o2bo$2bobobobobobo7bo2bo2bo3b3o9bo2bo4bobo8bo3bo11b
o3bo5bo9bo4b2ob2o14bo3bobo3b2o2bobo6bo2b2ob2o8bo4b3o7bo5bo2bobo3bo4b2o
8bobo2bo9bo3bo2b4o8bo10bobo$4bob2obo2bo5b2o5b2obo6bob2o2b2o6bo5bo5bo4b
o9bo2bob3o2bobo7bo6bobo3bo3bo7b3o3bo3bo7bobo4bo3bo5bo6bo3b4o4b2obo3bo
8bo2bo4b3ob3o3b2obo3bo2bo3bo2b2obo9bo5bo7bobo$5b2o2b2o5bo4b2o4bo4b2o8b
obo9bobo3b3o6bo5bo2bo2bo2bo3bo5bobo7bo2bo5bo13b3o10bo3b4obo2bo5bo2bo3b
obo5bo8bo7bo11bo5bo4bo2bo5bo4b2o11bobo10bo$o4bob2obobobo3b2o10bo11bo3b
o2bo5bo2b2o2bo14bo2bo3b3o5bobo2bo5bo5bo2b2ob2o3bobo3bo15bo12b2o10b3obo
8bo2b2o20bo2bo2bobo8b2o15b5obob2obo2bo$6bo5b2o4b3o4b3ob2o3bo5bobo5b2o
3bo12bob2ob2o6bo9bo7bob4obo17bobo17bo9bo2bo15bo2b2obo5bo9b2o3bo6bo15b
2o2bobo3b2o2bo5bobobo5bob2o$b2o10bo2b2o2bobo2bob3o2bo8b2o3bo6bo2bo4bo
5bo5b2obo10b2o2bo13bobo6bo2bo15bo5bo11bo2bo8b2o2bo2bo5bo5b2o3b2obo10b
2o10bo4bo9bo5bo2bo8bo$3bobo3bob3o3bo7bo3b3o2bobob2obobobo8bo5bobobo2bo
5b2o5bob2o5b2o3bobob2o5b2o15b2obo2bo6bobobo2bo11bo4bobobo3bo3bo7bo4b3o
4bo3bo3b2o6bob3o14bo2bobo6bobobo4bobo2bobo$2obobo5b2obo4bob2o4b2o5bo4b
o12bobob2o2bo5b3obo6bo7bo3bobo2bo3bo9bo4bo2bo10bo2bo3b2obo4bo6bob2obo
10bo9bo4b2o2bo4bobo3bo5bo2bo3bo6bob2o11b2o2bo5b2o13bo$7bo2bo2bo2bo7bo
6bo2b3obo10b2o3bo4bobo11bob2o3b2o3bo4bo2bo2bo4bo2bobo9b4o3bo2bob2o2bo
3bo6b2o2bo5bob2o2bo2b2o2bo2bo3bo7bo2b4o2b2o4bobo4bo2b3o4b3o8bob2ob2o3b
o4bobo2bo6bo3bo$9bo3bo10bo4bobo5b3o2bo4b4o3bo16bo4bob2o2bo2bo3b2o2bobo
21bo6bob2obobo5b2o6bobo6bobobo5bobo4b2o3bo7bo2b2o3bo3bo5bo12bo3bob2o3b
o12bo2bo4bo5bo$4bo3bo15bo4bo3bo6b2o2b2obo4bobo2bobobob2obo3bo3bo4b2o2b
obob2o2bo10b2o9bo6bob3obo4bo5bo2bob2obo6bo4bo4b3o13bo11b2o5b2o4bo3b2ob
2o4bo5bo2b2o6bo5bo2bo5b2o3bo$2bo2b2o2b2o3bo3b4o2bo9bo5bobo12b2o2b2o2b
2o6b3o4bo2bobo6bo6bo6bo3b4o3bobo7bo2bobo13b2o5bobo5bo2bobo4bo4bo5bo2b
2o6bo5bo2bobo6bo5bo11b3o11b2o4bob2o$3bo10b2ob2o5bo6bo4b2o11bo3b4obo6b
3o9b3obo9bo2bo3bo2bo4bo6bo3bo3bobobo6b2obobo3b4o2bo3bo2b2o2b2o5bo3bo2b
o6b2o4b4o5bob2o9bo7bo9bo3b2o2b2o2bo8b2o4bob2o$11bobobob3o3b2o7bo4bo2bo
5bobo4b2obo3bobobo11b2o3bo3bo3bob2o2bo2bobo2b3o11b2obo2b2obobo16bo8bo
9b2o3bo2bo2b5o3bobo8bo5b2o4bo3bobo3bo2bo5bobo3b3o3bo4b2o7bobo$b3o7bo2b
4ob6o3bobo3bo3bo3b2o2bo9bo3bobobo5bo4bo3bo12bo2bo3bo5bo3bo9b5o11b2o10b
o2b3o5bo9bo3b2o6bob2o3bobo3bo7bobo4bo6bobo3bobobobo5bobobob2o12bo$o10b
ob2o3b2obo2bobo7bo2bo3bo5bo8bobobo8b2o4b2obo6bo2bo4b3obobo3bo2bob2o8bo
4b2o4bo5b2o8b2o3bobo3bo4b2obo5bo9b2ob2o6b5o9bo2bo2bo3bobobo4bo5bo8bo3b
o6bo$6b2obobo3b2o2b2o6bo3b5o2b2ob2o4bo10bo10bobo5bo4b2o4b2o3b7o10bo4b
4o10bo4bo8b2o3bo4bobo2b2ob2o3bo5bob2o6bo7bo5bob3o9bobo12b2o2b3obobo6bo
3b3o3bo$obo3bo5bobo6bo2bobo2bo4b2o2bobo6bo5b3o3bob5o2bo5bobob3o2bo6b2o
b3o7bo8bobo2bobob3o6bob2o7bo8bo2bo3b2o2bo7bo16bobob4obo11bob2o4bo5bobo
2bo6bo5b3ob3o3b3o$4bo3b2obobobobo2bobo4bo5b2o5b4ob2o2b2o9bo7bo7b2ob4o
5bo3bo7bo9bo3bo2bo2bo2bo2bo2bo8bo5bo3bo4bo5bo3bo2bob2o4b2ob2o2bo8bobo
2b2obo2bo7bobo3bo2bo3b2o2bobobo4bobobo3bo2bobo5bo$b2o3bo11b2o2b2o2b2o
2bo4bo4bo4bo6b3o15b3o2bobo4bobo7bob2o11b2o5b2o2bo2bo2bo14bo5bo6bobo4bo
b2o4bo2bo2bob2ob2o2bo6bo3bo2b3o6b2obo4bo2bo4bo2b4o3b4o6bo10bo$9bo6b3o
2bo3bob3o11b2o2bo6bob3o6b3o3bo4bo3bo2b2o3bo2b2o2b2o14bobo3b2obo20bo13b
o5b5o7b3o3bobob2o12bo6bo6b2o3bobo2bobo2b2o5bo2bo9bo$5bo3bobo7b2o10bo2b
ob4obo2bo3b5o4bo6bob3o5bo3b2o3bo6bo8bo10bob3obob2o6b2o2bob3o6bobo3bo
11b2o3bo2bo6bo4b3obo2bobo3bo14bo3bo6bo4b2ob2o5bob2o3b3o4bo4bo2bo$5bo7b
o2bo7b3ob2o2b3o3bo4bob2ob2obob2ob2o4bobo2b3o5bo3b3o2bo3b3ob3o4bobo11b
2o12bo7b2o7bobobo5bo3bo3bo14b2o15bo5bo5bo3bo12bo2b2o9bo4bo2bo2b5o$o2bo
2bo6b2o6b3o2bo2bo3bobo4b3o6bo2b2o3bob2o2bobobo5bo2b3o3b2o4bo2bo4bobobo
6b2o11b2o8b2o5bo3b2ob2obob2o4bo8bobo10bo5bo4bo6bobo2bo3b2o2bo3b2o2bob
2ob2o4bobob2obo2bo4b2obo4b2o2bo$2bo3b2ob2obobo2bo11bo4bobo4bo3bob2o2bo
4bo2b2o2bo2bo7b3o5bobo2bo3bo4bo6bo3bo3bo3bobo2bo3b2o2bob2o6b2o2b2obobo
3b2obobo5bo11b3o4b7o3bo3bo3bo6bo3b2o12bo2bo8b5o6bo4b2obo$3bo7bo7b2o3b
2o3bobo2bob2o2b5o3bo4bo6b3o2b2o2b2o3b2o3b2o2bo3bo4bobo17bo5bobo3b2o4b
2o2b2o3bo4bo4bo6b3obo8b3o5bo3b2o8bo3bo6bobo5bo3bo4bo6bo6bo5b5o6bo3bo$o
bo3bo2bobo3b2o2bobo8b2o3b2obo4b2o7bo4bo5b2obo3bo3bo3bo10b2o3bo7bo2bo
10bo5bo3bob4obo2bo2b2o3bo8bo7bo12bo8b3obo4bobo7bo3bo4bobo6b2o9bo3bob2o
6bo3bobo$bobo2bo11bo9b3o4b2obo2bo7bo2b2o2bo4b2o3bobobo2b2o3bo7b3obo13b
obo7bo2bo3bo5bob3o3bo4bo2bo10bo2bobo2b2o8bo6b2o13bo5bob3obo7bo3b3o2b2o
4bobo3bo3b2o2bobo2b2o5bo$4bob3o4bo7bob3obobo3bo7bob3o3bo2bobo4bobo2bo
5bo4bo10bob2o6bo4bo2bo3bo3bo2bo8bobobo3b2o4bo5b4obo4bobobo5bobo5bo3b2o
2bo7bo10bo6bobobo2b2o3bo8bo5b2o13bo2bo3bo$4bo6bob2obo3bo6bo6b4o3bob3o
3bobo6bo2b2obo6b2o2bo6bo6bo11b2o3b5o3bo2bo3b2o2bo5bo4b3o13bo9bo5bo5b2o
4bobobobo9bobo13bob2o2bo7bo2bo3b2obo10b4o$3bobobobob2obo3b2obo9bobo3bo
6b2o5bo3bo3bo7bobo3bo11bo8bo2b2obo6bobo9bo7b2obo14b2o3bob2o2bo3bo3bobo
3bo11bo5bo5bobob2o3bobob2o2bo3bob2obo3b2obo4b2o3bo2bo2bobobo2bo2b3o$3b
o2bo2b2o2bo2bo4bo2bo4bo4b3o3bo12bo2bo2bo5bo3bo2bo3bo3b3ob2o2bo3bo6bobo
5bo3b2o2bobobo6bo5bo3bo4bo2bo13bo4bo2b2obobobo4bobo3bo3bo6bo12bo6bo4bo
11bo3bo5bo4bo5bo$o2bo5bo6bo6bobobobo6bo2bo5bo10bo2bo5bo2b2o4b2ob3obobo
4b2o11bo7bob2o9b2o15bo8b4obo7bo2bobo6b2o2b2ob3o3bo3b2o5bo3b2o8bo8bo2bo
4bo2bo14bo3bobob2o$9bo3bo4bo2bo4b2o11bo4bo3bobo5bobobo2b2o10bo4b2obo3b
2obo3bobo4bo3b2o17bobo4bo7bo8bo4bo7bo3bo16b2o7bob2ob2o3b2o5bo2bo3bo8bo
6bobo13bo4bob2o$bobo4b2obo8bo6bo11bo2bobo5bo2b3o9bo7bobo7bo5bo3bobo4bo
4bo2bo4bo8b2o3b2ob3o4bo2b2o3b2o3bo3bo10bo5bo2b2o9bo2b4ob4o2b3o9bobo12b
4o3bob2o2bo7bo$3bobo5bob3o2bobo2b2ob2o14bo4bo3bo3bo3b2o4b2obo2bo4bo2b
2o9bo8b2o4bo7bob2o4b3o2bo8bo11bo4b2o2bo7b2o5bo7bo2b2obobo9bo4bo5bo3b2o
bob2o6bob2o2bo4b2obo8b3o3bo$9b3obo2bob2o7bobo12bo4bo5b2o11b3o2bo2b4o9b
2o3b2obo5bo2bo2b2obo6bo11b3obo5bobo6b2o2bo7bo2bobo2bo4bo11bobo5bob2o3b
o2bo5bo2bo3b4o5bo5bo3bo4bo4bobo2bo2bobo$11bo2bo2bob2obo4bobo2bo3bo3bob
o3bo2bo3bobo3b2o3bo6bob2o6bo2bo3b2o15bo2bob2o3bo5b3ob4o4bo2bo2bo6bo4bo
4bo3bo2bobo4bobobob2o3bobobo5bo2bo11bo2bo2bo4bo2bo2bo7bo6bo2bo10b2o$o
4bo7bo3bo4b3o2bo2bo5b2o4bo2b2o4bobobo2bob4o6b2o10b2o2bo5b3o7b2o2b2o3bo
2bo7b3o3bobo6b2o6bo3bobo5bobo6bo4bo6bo15b2o11b2o6bo3bob2o3bo3b4o19bo$
9bo7b3o5bob2obo2b2obo3bo5bo2bo5bobo6bo14bo2bo7b2o7b2o3b2o8b2o6bo11bo
12bo5bo8b2obo11b2o15bo4bo2bo4b4o4bo12bo2bo5bob2obo7bo3b2o$2bo2bo2bo5bo
5bo3b3obo3bo6bo6bobo3b2o3bobobob2obo2bobo3bo3b5o11bob2o2bo6bobo6bo3bob
2o9bo14b2o2bob2o3bo4bo2bobobob2obo4bo8bo4b5o4bo4bobo8b3o7bo2b3obo3b4o
3bo$3bo4bo9bo5bo5bobobo4b2obo2bobo3bo2bo6bo2bo2bob3o2b3o2bo6bo2b2obob
2obobo5b3o4b2o2bo5bo26bo3b5o6bo2bo2b2o3bo3b2o2b2o14bob2o5b2o13bo2b2o3b
o8b2o3bo3bo$5bo2bo5bobo5bo2bo4bo7bo3bo5b3obo6bo13b2ob2o4b2o5bo3bo7bobo
bo3bo3bo6bobobo2bo2bo3bo5b2obo4bobo2bo7bobo6bo4b2ob2o5bo6bo2bobo6bo8bo
3b3o10bo12b2o6bo3bo$o10b2o12bobo2bobo4bo3b2ob2o14bo2bob3o4bobo3bo5bobo
3b2obob2o4bo4b3o13bo22b2obobo3bo4bo10bobobo5b2obob4o3bo4bobo6bo14bo3b
2o4b2o5bo2bo5b4ob4o$o2bo2bo3bo4b2o28b2o2b2o4bo13bo6b3o8bo3bo6bobo2bo2b
o2bo3bo2bo5bo6bo3bo3bo10bobo4b4obo3bo4bo7b3o2b2obo6b2ob2o2bo8bo16bo2bo
7bob2o3b3o6bobo$2bobo5bo16b2o2bo2bo2b2o3bobobo9b3o2bo6bobo7b3o7bobobo
5bo2bo3bob2o2b2ob2o8bo7bo3bobo3bo2b2obo2b4o4bobo2bo6bo3bo15bobo4bo4bo
4bob2o3bo3bo6bo3bo2bobo3bo2bo2b2obob2o2b2o$bo3bo12bo8bob2obo2bo3b2obo
13bo12bob2o3b2o5bobo7bob3o2bo2bo2bo7b2obo3bo2b3o9bo6b3o5bo9b2obo2bobob
2o3bo3bo5bo4bo4bobo6b2o10bo4bo7bo3bo4bobo2bo2b2ob2o$bob2o2b3obo3b3o2bo
6b2o8b2o8b2o2bo3bo5bo2bo4bobo2bo8b2o2bo3bo6bo5b2obo8bo2bo3bob2o10b2o3b
5o2bobo3bo3bo3bo3bobo8bo3bo8bo2bobo3b2obo4b2o4bob2obobo3b2o8bo5b2o11bo
$3obo3b2obo5bo6bo7bo13b3o3bobo3bo5bob4o6bobo3bo2bobo4bob2obo4bo2b3o6b
3o15bo4b2o7b2o2bo15b2o3b6obo12bo7bo4bo5b2ob2o4b2o2bo7b3obob2o6bo7b3o$b
obob2o2bobobo4bo5bo4b2o2bo3bo4bob2o14b3obobo6b2o2bobobo8bo8bo3bob2ob3o
3bob2o2b3o2b2ob2o3bo12b2o4bo3bo16bo2b2obo7bobobobo7bo3bo10bobob2o4b2o
11bo4b2o6bo$bo5bobob2o3bo7bo2bobo2bobobobo5bo4b2obo3b2o4b2o8bobo2bo2b
2o2bo2b2obo8b2o2b2o5bo5bobo2bob3o3bobo6bo2b2obob3o6b2o2b2o7bo5bo3bo2b
2o2bo14b2o6bo2b2o12bo4bo2bo10bo5bo3bo$2bo4bo16b2obobobo6bo27b2o2bobo
17bo2bo12bo5bo3b2obo8bobobo4bobo3b4o3bo2b2ob2o3bo5bo10bo2bobo3bob2o2bo
2bo6b2o3b2o2bob3o5bo2bo4bo3bo2bo2bo3b2o3b3o3bo$obo2bobo4bobobob2o7bobo
bo3bobo2bobo2b2o2bo3bobobo6b2ob2o13bob2o3b3obo2bobobo3bo14bo5b3o2bo12b
o6bo2b4o3b2o5b2o3bo3b2o5bo10bo2bo2bo6bo2bo2bo4bo2bo5bo2bo3bo2bo4bo6bo
3bo$9bo2bobo2b3o2b2o3b2o2b3o11bob5o2bo2bo2bo3bo2bo4bo16b2ob2obo4b2o8bo
2bo10bo9bo5b2obo13bo3b3obo3bo2bo6bobobo2bo3bo2bo7bo11bo2bo17bob3o4bo3b
3o4bo$3bo2b2ob3o2bo4bo4bo15b4o3b2o3b5o6bo11bo10bo4bobo6bo9b2o8bo3bo5b
2o9bo11bo4bo2b2ob2o2b2obo2bo3bo2bobo3b3o2bo2bobo7b2o5bo6bo5b3ob2ob2o2b
2o5b2o4bo$2bo9bobo4bo5b2o3bo2bobob2o10bobo2b3o29bo9bo2bo3bo3bo8bo2bo2b
2obo5bo7bo4bo6bo3b3obob2ob2o4bo2b2o10bobo2b2o14bo26b2o2bo9bo$3bo4bo2bo
6bo2bo2bo5bo2bo2b2o11bobo2bo3b2o7bob5o4bo2bo3b2o7b2o2bo4bo15bo8b2obob
2obo6bo2bo16b3obo2b2o3bo6b2o3bobo5bobo4bo10bobo2bo3bo6b2o3bo5bob4o2b2o
5bo$bo9bo2b2o3bo3bo2bo3bo2b2o10b2o2bobo4bo3bobo2bo4bobo2bo8bobo7bob3o
5bobo14bobo2bobobobobo3bob2ob3obo2bo7bo6bo2bo4bo4bo2b3o20bo11bo2bo2bo
2bob3o2bo5bo8bo7bo$3bobo10bo8bo10b2o4bo3bob2o2bo5bo18bo4b3o4bo6b2obo
10bo5bo13bo5bobobobobo6bob2obo3bo2bobobo8bobobo4bo4bobo7bo5bo5bo4bobo
4bo2bobo7bo4bob2obo2bo3bo$2b2o2b3o2b3o2bobo3bo3b3o10bo6b2o4bobobo5bo2b
o7b2o2bo19bobobo2b2o6bo5bo15bobobobob3ob6o8b2obo3b2o5bo3bo2bo5bo6bo3bo
2bobo12bo5bobo2bo7b2obo4bo3bob2o4bo$4bo9bo4bo5bo3bo2bo4bobo4bob2o3bo2b
o2b2o2bo5bo4bo12bo7b2o2bo4bo3bo2b2o10bob2ob2o2b2o6bo2bo2bo8bo2bob4o6b
2o3b2obo11bo9bo2bo8b2o4bo5b2o5bo4b2obobo5bo3bo4bo$9b2o2bo4bo5bo2bobo5b
o2bobo5bobo7bo4bo2bobo2bo15b2o3b2o2bo2bobo2bo6bobo4bo2b2o2bobo6bob3o
10b2o4b2obo3b3obo5bo5bo4bo9b3o3bo7bob2obob2ob3o4bo2bob2o7bo$3b2ob2o5bo
5bo2bo2bo5bo5bo6b4o11bo3bo4bo7bo3bobobobobo13b2o2bo3b2o11bo5bo11bo6bo
3bo2bo2bo2b2obo9bo4bobo2b2obo4b2o5bo5bo2bobo4bobo2bobo5bo3bo3b3obo3bo
3bo4b2o$bo4bo2bo2bo2bo4bob4o3bo5b2obo2bo5b4o5b3o6bo2bo5bo5bobobo11bo
11b2o12bobo5b4ob3o3bo2bo4bo4b2o8b3o8bob2obo4bob3o5b2obo3b2o11b2obobo2b
obo7b2o3b2o6bob2o5bo$bo24b2ob2o6bo2bo13bo2bo2bob2o3bo6bo6b2o3bo2bob2o
10b2o5b2o7bo3bo2bo5b2o4bobo7bo9bo10bo2bo5bob2o2bo6bo5bo2bobo2b2o2b2o3b
o4b2o2bobo2bo4bo2bobo16bo$5b2ob2o7bo3b2obo3bobobo3bo5bo3b3o2bo3b3o4bob
o2b3o6bo6bobo9b2o3bo3bo3bobo5bobo4bo9bob2o2b3o5b2o2bobo22bobo3b2ob2o
14b3ob3o4b2o8bobo2b2o5bobobo16bo$5b2o3b3o4bobo4bo3b3o2bo9bo2bo3b2ob2o
7bo4bo6bobo18bo2bo5bo2b2obo3bobob2ob2o2bobo7bob4o4bobo7bo5b2o7bo2b3o7b
2o2bo8bo11b4obo2bob3o6bo6bo2bob2o5bo6b2o$b2o9b3o2bo2bobo8bo2b2o7bo2bo
5bob3o4bob2obob2o4bo2b3o2bobo7bob4ob2o4bo2b3o3bo5bo8bo3bob2obobo6b2obo
20b2o5bo2bo5bo3bobo10bo3b2obobo3bo4b3o7bo2b3o15bo$5b2o7b2ob2o2bo6b4o3b
o3b2o2b5o4bo5bo6b2ob2obobo3bo7bo3bo2bobo2b4obo4bo7bo4bo3b3o5b2o16b4o3b
3o9bo6b2o8b2o2bo4bo6bo6bobo5b2obo3bo4b2obo2bo2bo3bobo5b2o3bo$7b3o7bo3b
o5b2obo3bo4b3o4bo2bobob3o3bobo11bo3bo3bo4bo4bo2bo2b3o8bo4bobo9bo3bo5bo
6bo2b2o5bo8bo7bob2ob2o5bo2bo6bob2o4b3o4b2ob2ob2o11bo5bo8b2o4bo3bo3bo$
2bo2bo8bo2bo3bo11bo7b2o2b2o2bo2b2o14bo6bo8bobo16b2o6bobob2o3bobo6bo6b
3o2b2o5bo2bo3bobobo4bo3b2o4bo2bo2bobo6bo7bo4bo8bo3b2o2b4o6b2o3bo8bo6bo
bobo$b2obo21b2o3bobo4bo2bo2bob2o5b2obob2ob2o6bo2bo6b3o2bobobo9b2o2bo6b
ob2o3bo3bo3bob3obo2bobobo4bo8bo3b2o11bobo2bo5bo2b2o4bo9bo4bo5bobo2bobo
6bobo3bo12bob2o2bo6bo$b2ob2o3bo5bobob2o10b2o3bo2b2o7bo6bo12b4o2bobo4bo
2bo2b2obobo3bo4b2o7bobobob2obo2bobo4b2obo2bobo4bo2b2o5bo4b2o2bo2bo3bo
2bo3bob2o7bo2bobob6o4bo5bobo7b3obo5bo5bo2bob2o5b4o3bo$o6bo2bo7bo7bob3o
3bo4bo4bo2bo6bo2bo2b2o10b2o5b4o6bo2b2o4b3o9bobo14bo4bo5bobobo6b3o4b3o
2bo6bo10bo2b2o13bo2bo6bo9bo9bobo8bo2bo2bo3bo2bo$7bo6bo2bobo2b2o9b2ob4o
5b2o2bo4bob2ob2obobo2bobo4b2o2bo4b3o4b3o2bo6bo3bo6bo3bo3bobo2bo4bo10bo
bo3bo4bobobo4bobo3bo2bo4bo3bo5b2obo3b3o5bo2b3o4bob3o5b2obo3bo2bo6bo9bo
bo4bo$o6bo14bobo2bo4bo9bo6bo7b2obobo8bo11bo5b3o9bo2bo3bo5b2obo6bobo2bo
8bobo2b4o3bo4bo18bo3b3o19bobo12bo5bo9b2o9b4o8b2o$3bobo3bobo9bo6b5ob2ob
o2b3o7bo3bo3bobo7b2o5bobo6b2obobo5bo11bobobobo18bob2obo5bo3bob2o4bob2o
4b3o6bo4bobo2bo4bo12bobob2o4bo2b2obo2b3obobob2o5bobobo3bo2bo$3bobobobo
bobo5bo3bo8bo5b2o4bo2bobo5bobo2bo4b2o5b3o3bo8b2o4b2o3bobob4o7bo10b4obo
2bo4bobo2b2o6b2o3bo3bobo12bo7bo10bo2bo3bobo2b2o3bo2bo6b2o12bobo12bo$3o
14bo4bo8bo7b2o8bo2bo3b2o2bo4bo2bo8bobo5bobobo4bo6bo2b2o9bo11bobo5b4obo
bo4bo4bo11b2o2bo3bo4bo3bo6b2o3bobo2bo2bobo4bobo2bobobo2bo15bo13b2o3bo$
5bo4bo8bo2bo12b2obo2bobo4b2o9bobob2o3b3o11b2obobobo7b2o4bo6bo6bob2o5bo
4bo3bo2bob2o7bo3b4obo14bo7b2o5bo3bo2bo9b2o6bo3bo20bo5b2ob2ob2obo$6bo5b
o6bobo2bo3bo2bo2b2obo4bo5bo6bo4bo11bobob2o5b2ob2obo2bo3bo2bo2bo8b2o3bo
4bo5bo2bo6bobo2b2o2bobo15b2o3bo3bo4b2o9bo12b2o2bo8bobob3o3bo9b2o2b2o2b
o5b2ob3o$4b2ob2o6bo3bo2bo3bo3b2o4bo5bo3bo2bo2bo4bo3b2o3bo2bo2bo9b2o2b
2obo3b2ob2obo2bo3bo5bo5bo4bo3bo6b2obo10b2obo2bo10bobobo5bo2b4o7bo4bo2b
2o3b2ob2ob2o4bo2bo5bo3b2o3b2o3bobob2o3b2o3b2o$bo8bo4bo3bo3bob2ob3o5bo
2bob2obo3bo12bo4bobo3b2o2bobobo6bo2b3o2bobo4bob3obo2b2ob2o5bobo3bo5bo
3b3o8bo9bo4b2o4bo24bo4bobobo3bo4bo2bobob2o4b3ob3o2bo2bo2b3o2bo2bo4bo$
2b2o2bo2b2o4b2obo3bo5bobo2b2o2bo7b2o8bo10bo6bo8bo3b2o2bo7bo2bobo7bo7b
2o12bob4o3b2o7bo14bobo9b3obo2bobo2bo2bo2bo2bob4o4bo2bo15b2o5bobobobo3b
o4bo2bo$3o9bobobobo9b2o9bo3bo4b2o5bobo3bo6bo2bo3b4o5b3o3bo6b3ob2obo17b
obobobo17b3obo14bo5bobo2b2obo5bobo8b2o4b2o4bo2bo6bo13b2obobob2o3bo9bo$
2bo3b5obo5bo5bo3b2o9bob2o3bo5bobo2bo3b2o2bo3bo4bo7bob2o3bo5bo3bob2ob2o
2b2o7bo5bobo3bo3b3obo6b3o3bo3b2o9bo4bo2bo6bo10bob3obo2bo10bo4b3o4b3o3b
o4b2ob3obo2bob2obo2bob2o$2bo3bo4bo6b2obo2bo9bo2bo5bo2bo5bo2b2o3bobo3b
4obo13b2obo4bobo5b2obobobo3bo3bobo2bo4bo8bob3o4bo9bo6b3o3b2o2bo8bobobo
13b3o2b2o2bo11bo4bo4b3o22bo$2o3bo2bo5bobo3b3o10bo3bo3bobobo9b2o2bobo7b
o5bo8b4o2bo6b2ob3ob2o5bo3bo2bo2bo6bo2bo2bo9bo6bo14bob2ob2obobo4b2o7b2o
b3o3bo7bo6bo2bob2o2bobo4bo4bo6bo3bo3bo$4b2o4bo4b2ob3o2bob2o2bo8bo4bo2b
2o10bo4b3o5b2obo3bo6bo3bo3bob2o4bo5bo8b2o5b2obo3b2o2bobo7bo5bobo2bo6bo
3bo12b2obo12bo2bob3o3b2o4b3o2bob4o5bobo3bobo4b2o4b2o6bo$bo4b2o3b2o5bo
2bobo2b2o4bo2b3o2bob3ob2o15bo2bo5b2o5bo5bo13bobo5bobo7b3o25bob3o6b2obo
11bo5bo7bobo3bob3o8b2o2bo3bo4bo3bo10bo3bo6bo2bob2o$2o3bo7b3o3bob2o3b3o
4b2o3bo2bo2bo3bo3bo8bob2o2bo4bo10bo2b3o2bo4bo3b9obo4b2o4bo5b4o2bo5b2o
4bo13b3o17b2o3bob2o2b2o2bobobo6bo5bobo2b3o2bobo2bo5b4obobo3bo10bo$2bo
3bo6bo5bo5bobobo2bo8b2o5b3o4bo3bobob2ob2o2bo2bobobo3bo6b2o4b2o8bo3bo4b
3obo5b3o9b2o4bo7bo8b2o9bo4bo13b2o3bo2bo9b3o2bo8b2o2b3o4bobo5bo2bo2bo3b
o5bo$2bo3bo2bobobo2bo3bobo5b3o3bobo2bo2bo2bo6bo5bo4bo9bobo2b2o3bo3bo5b
3obo2bo4bo5bo2b2o6bo11bo4b2o2b3o3bo12b2o4b3o2b3o2bo2bo2bobob3obo5bo3bo
bo5bobo2b3o2bo4bo2b3obo3bob2o15bo$2bo2bob2o3b2obo6b2o3bo9bobo4bo2bo8bo
6bo2bo3bobo2bo15b2o3bo9bo2bo4b2o10b2o15bo10bo3b2obo11bo4bobo9b2o3bo14b
o7bo2bo5bo4b2o2bo2bo3b4o2b3ob3o$11b2obo3bo3bobo9b2o2bo4b2o2bo5bo10bo4b
ob2obo2bo2bo4bo3b2o2bo2bo3bobo2bo2bo3bobo4b2o4bo4bobo2b4o2bo12bo3b2o2b
o8bo5bobo3b2o9bo3bo2b3o3bo2bo2b2o6b2o2bo7bo2bo9bobo3bo$4bob2o3bobo2bo
4bobobo8bo6bobo2bob2o6bo14b2o6bo3bo4b2o3b5o14b3ob3o5bo7bobo10bob4o5bo
2bo2b2obo3b2o4bo4bo5bo3bobo7bo5bobo3bo4bo2bo4bo5b4obo2bobo3bo7bo$2o2bo
4bo4bo9bo3bo5bo4bo2bo7bo2b2o5bo10bobo2bob3obo3bo2bob2ob2obo2bo2b3obo3b
o2bo2bo2b2o2bobobo3bobo4b4o3bo5bobo2bobo7bo3bo3bobo4bob4obo3bo5bobob3o
b2o13bobob2obo2bob2o2b2o3bobo2b3o3b2o$bo2bo2b3o7b2obo6bo4b2ob2obobo9bo
bo2bob2ob2o2bobo3bo3bobo8bo2bobo2b2o3bo2bo4bo10bobo3b2o6bo3b4o4bob2o
12bo7bo4bo2bo2bo17bobo5bo19bo3bo5bobo2bob2o8bo$13bo8bo3bo11bo5bo6b3o
10bobo2bo6bob2obo4b3o2b2o5bo5b2obo5bo4bo3bo10b2o2bobo7bob2o3bo4bo6bo3b
o12bo12b3o4bo6bo4bobob2o7bo5bo2b3obo4b5o2bo$o2bo2bobo8bo2bo11b6o6bo4b
3o3bo6bob2obo6bo4bo2bob3o5bo14bo2bo8b2o2b2o17b2o4b2o7bo3bo2bobo4bo6bo
4bo8b2obo6bo2b2ob2o11bob6obo8bo2b2o3bo3b4o$b2o14b2o3bo2bo4b2o3bo16bo3b
4o2bo3bo3b2o10bo2bobo2bo32bobo6b2o5bo3bo3bo3b2o5b2obobo5b2ob3o2bo3b2o
4bob2ob2o3b4ob5o2b3o4bo4bo5bo2b3obobo7bo5bob2obo$o3b6obo5bo2bo2bobobo
5bo3bobo6b4o3bo2bo3bobo5bo9b2o4bo9b2obobobo8bo9b3o9bo2b2ob4ob3o2bobo2b
o16bo6bobo4bo2bo5bo2bo2bo10bobo5bobo7bo12bo11bobo$8bob2o17bo15bo2b2o6b
o12bobo8bo10bobo2b2ob2obo15bo6bobobo3bo14bobo3b2o4bo6bobo2bo8bo2b2o4bo
bo6bo6b2o3bo7bo4bo3bob2o4b3o4bo8bo2bo$b2o6bo2bo2bobo2bo3bo9bo5b2ob2o2b
o4bobobo6bo11bo8bo3bo3bo5b4o2bo4bob2o2bo2bo5bo2bo6b2o2bo4b2o4b2o4b2obo
9bo7bo2bo2b2o7bo5b2obo13bo6b2obo6bo2bo2bo4bob2obo$9bo12b3obo2bo6bo4bo
7bo5bo3bo3bobob2ob2obobo5bo2bo4bob2o5bobob2o4bobo2bo3bo6bo2bo4bo4bobo
4b2o4b3o3b2o2bo2bo4bo6b4o2bo2bo17b2o2bo3bo3bo2bo2bo3bo4bobo2b3o9b2o5bo
$4bo12bo6bob2ob3o5bo5bo4bo4b2o3bo6bo12bo5bobo3bobo2bobo6bo17b2o6bo7bo
12bo4b2o8b2o5bo11bo3bo17bo7bo6b2o5bo3bo8b3o5bobobo$obobob2o4bob4obob2o
2bo4bobo5bo3bo17bo3b2o9b2ob2obo2bobo14b3o14bo2bo12b2o3bobo5bo2bo3bo13b
o2bo3b2o4b2ob2o4b3o20bo2b2o6bo5bo6bo11bo2bo$bo9bobo3bobobo4bo3bo3b3ob
4o2b2o4bo3bo2bo3bo9b2o2b5o3b3o2b3obo2b2o3bobob2ob2o10bo5bob2o2bo15bo2b
o2bob2o3bobo6bo11bo4bobo5b2o4bo2b3ob2ob2obo5b2o8bo2bo11bo$5bo2b3o2b3o
2b2o2bo7bo2bo9bo4b2o2bo9bo2bo2b2o4bo4b2o3bo8bo6bo7bo7bo17bo7bobo3b2ob
2o4b2o4bo12b2o3b2o11bo3bo6bo5bo16bo5bo3bo3bo3bo4bo$b2o11bo2b2o2bo2bo2b
o2bo3b3o4b2o9bobob2o4b2o13bo7bo2b2ob2o5bobo6bo2b3ob2obobob2obo3bo7b4ob
o5b4o5bo8b5o18b3obobo8b3o8b2obo10b2obo7b2ob2obo5bo$6bo3b3o3bo3bo9b2ob
2o6bo9bo2bo7bo4bo2bobo8bo7bo10bo2bo2bo6bo4bo10bo5bo5b3o8bo16bobo2b2o2b
o3bobo2bo3bobo20bob2o6bob4o2bo2bo14bo3bo$8b3o7b2o4bob2o6bo4b2o7bobo3bo
6bo5bo2bo2bobo11bo2bo4bob3o7bobobob3o6bo3b3o2b4o2bobobo11bob4o5b2o7b2o
bo3bob3o3bo4b3o10bo4bo2bo5bo6bobo2bo7b2ob2o$14bo5bo4bobo8b3obo5bo5bo7b
2o4bo3bobo9bo3bo3bo2b2obo9b3o32bobo10bobo3b2o11bo6bo3b2o4bo6bo2bobo5bo
bo10bo4bo2bo2bo12bo6b2o$2bo5bo9bo3bob3obo6bobo3bo4bo5bo5bo3bobo2bo3b3o
10b2obo4bo3bo3bob2o3b2o7b2o2b3obo2bob2obo2bobobo4bo5b3obob2o6bobo3bobo
5b2o2bobo2bobo9bo3bo2bobo4bo11bo3b3obo2bo4bo2bo6bobo$b2o3bo12bo2b3o5bo
2b5o4bo5bo5bo7bo4bobo5bo2bo2bo10b2o2bo2b3o2bo16bo2bo2bo11bo2b2o5bo2bob
4o22bo4bo7bobo2bo3b2o2bo5bo6bo2b2obo2bo11bob3o$5bo3b3ob2o2bo2bobo2bo5b
o4bo2bo4b2o4bobobo4bo7b3ob2o3bo14b2obo2bobo5bob2o3bo3bobobo2bo2bo2bo5b
obobo2bobobo11bo8bobo3bo8bo3bo5b3o2bo9bo2bo6bo3b2obo2b3obo3b2ob3o8bo3b
obo$2bob2o2bo6bo3bo10bo7b2ob4o5b2o5b3o13bo2b2o20bob3o5bo3b2o2bo3bo2bo
7bo3bo4b2o5bo2bo4bob2o6bo2bo4bob2o7b2obo8b2o4b3o5bo6bo3bo2bo2bo15bobo
4bobobo$2bo5bo8b2o5b2obo20b3o2bo2bo4b2o5bo7bo2b2o3bo3bo4bob2obo3bobo3b
o4b4o8b2o2bo4bobobo8bo4bo7bo5bobo9b2o12bo3b2ob2o3bo3b2o2bo7b2ob3o2bo7b
2o3bo5b3o3bo$2bo8b2o2bo2bob2obo4bo5bo6bo5bo2b2o3bobo5b3o2bo5bobo2bo2bo
6b4obo2b2ob4ob3o6bo4bo5bo10bo6bob2o12bobob2obo8bo3bo6bo11bo3bo8b2ob2o
8bo2bo4b3ob2o4b2obobobob2o$6bob3o4bo8bo2bo7b2o9bob2obo2bo2bo30bo8bo8bo
8bobo5bo3bo6bobo10bob2ob2o7bo13bo6bo3bobo13bo5bo2b2obo4bo2b2o2bo8b2o7b
o$4b2o6bo4bo3bo10bo3b2o7bo2b2obo2bo3bobo12b2o6bo3bo5bobobo3bo2bo2bo4bo
2bobobo9bobo2b3obo2bob3o2b3o2bo13b2obo7bo8bo4bobo4bo2b2obo17bo6bobo2bo
bobo3bo5bo4bob2o$o2bob3obo10bobo7bobo13bo2b3o2bob2o3b2o20b2o14bo14bo3b
obo5bo4bo3bobo2b2o4bobo2bobo2bobo2bo10bo7b3obo2bo9bo2b4o4bo4bo3bo3bo3b
o3bo6b3o2bo3b2o3bobo$bo2bo2bo2bo6bo10bo5b3o6bo2bo2bo3bobobo5b2o2bobo2b
o5bo5b2obo4bo7bob2o2bo2b2o2bobo6b2o4b6o3b2o3bo3b2o2b2o2bobobo18b3ob5o
5b5o2bo2bo11bobo6bo2bo2bo4b2o6bo3bo8bo$bo5bo5bo3bo4bo2b2o2b2o10b2o4bo
2bo5bo23bobo4bo2b2o2bo10b2o2b2obo2b5o13bo4bobobo10bobobo4b2o3bo3bobo8b
2obo3bobo2bo6bo8b3ob2o14bo10b2o4b2o3bobo$o5bo5bobo2bobobo12bo5bo3bo4bo
2b2o3bo2bo5bo4b2o2bob2o3bobo7bo4bo3bobo5b2obo6bo3bo6bo4bobobo13bo2bo
17bo4b2ob2obo3bobobo4b2obo5bo2bo2bo7bobo3bob2obo3bo4bo8bo$2bo7b3o4bob
3o6bo5bobo2b2o6b2o3bobobo7b2o11bo2bo3bo7b4obo4bo2bo5bo2bobo4b3obobo2bo
5bo4b2ob2o5bo2bo2bobo10bo4bo5b5o11b2o11bo2bo4bo15b6obo4b2o5b2o$o6bo3bo
bo4bobo4b2o2bobo6bobo4bo6bobo4bob2o6bo6bo8bo2bo7bo2b3o4bo4bo2bo2bobo4b
o5bo9bob2o2bo2bo2bo5bobob3o7bo7bo2bob3o4bobo3bobo9bo5bo2b3obo6bo6bo5bo
10bo$b2o2b2o3bo9bo2b3o11bobobo2b2o4b2o13bo5bobo3b2o5b3obo2b4o8b5o2bo3b
o7bo2b2o3b4o2bo3b2obo5b5obo5b2ob4ob2o4bo7bo4b2obo5bo2bo2bo4b2o8b2o3b3o
6b4o5b2o4b3obo2bo$4bo9bo8b2obobo5bobo3b3o2bo3bo11bo2bo6b2ob2o21b4o2bob
ob2obobo3b2obo5bo3bo4b4o5bo3bo7bo3bo4bo8bo2bobo3b3o2b3o2bob3obo2bo5bob
o11b2o2bo2bo4b2o3bob2o13bo$bob2o4bob4o3bob2ob2o7bobo7bo2bobobobobo7bo
6bob2o2b2o10bo3b2o3b2o7b6o5b2o6b2ob2o2bo9bobo4b2o7bobo5b2o2b2obo5bobo
3bob2o5bo3b3o3bob2o7bo6b3o3b2ob3o5bobo$3b2obo4bo6bo2bo4b3o2bo6b2obob2o
bo3bo2bo7bob2ob2o6b4o4bo3bo3bo7bobo11b4obo2b2obo5bo6bo3b2o10bo2b2obo5b
obo5bo2bo2b3ob2o3bo2b2o6bobo12bo4b2o2b5obo4bo2b2o2bo4bobo4b2obo$2bo2bo
2bo6bo2bo7b3obo6bo4bo3bo4bo9bo10bobo2bo2b2o4b2o11b3o2bo3bo8bo2bob2obob
o20bo2bobo4bo5bob3o3bo2bo4bo11bo3bo3bo5bo3bobo3bo3bo2bob2o2bo17bo7bo$b
o3bo2b3o6b2ob2o5bob2o3b2o8bo4bo22b2obo7b3o13bo5bo7bo8b2o5b2ob5o3bobo3b
o2bobobo6bobo7bo7bobob2o2b2o6b3o4bobo4bobo4b2o5b2ob2o3b2o2b2ob3ob2o2bo
3bo2b2o$3bo3bo3b3o8b2o3bo3b2o3bobob2o3bo5bobo3bobobobo2bobo3bo7b2o4bo
13bo7bo7b3o4bob2o6b2o3bob2o3bo2bobobo6bo2bo6bo4bo2b3ob2o16bo2b6o3bobob
5obo2bo9b2o7bo3b2o$bob5o3bo6bo5bo3bo9bo3bo5bobo4bo14b2obo4bo7bo2bobobo
bo4bo4bo6bo4bo4b2o2b2o5b2o7bo8bo6bo6bob2o3bo12bo2bo6bo5bobo5bo4bobob2o
7bo6bo4bo9b2o4bo$bobo4bobo3bobo6bo4b3o3bo6bo9bobob2o5bo12bo3b3o7bobo2b
2o5bo7bo4b2obob2o11bo7bo2bo3b2o3bobobo4bo7b2obo2bobobo5bo10bo4b2o9bo5b
2obo3bo4b2o2bob2o4bo3bo2bo$5bo2bo4bo6bo2bo9b4o2bo15bobobobo8bo6bo3bo2b
3ob2ob2o2bo2bo7b2obo2b2o7bo3bo3bo9bo4bobob2o2bo7bo3b2o2bo6bo3bo4bo7bo
3bo3bo14bo3bo6bo2bo4bo5bo4bo3bo5bo$4bobo5bobo2b2o5bo25bo4bob2o11bo4bo
5bo4bo3bo2bo2bo9bo3bobo11bo5b2o3b2ob2o6bobob2o2bo11bobob3o5bo3bo15bo2b
2ob2o3b2ob2o5bo3bo12bo7bobobo$8bo2bo4bo3bobo6b2o3b2o2b2o6bo7b2o3b2o7b
2obo11bo7bob2o6bo2bo4bo4b2obo2bo3bo8bobo3bobobobo2bo2bobo3bobobob3o8b
2o2b2obo13bo2bo4bobo2bo4b2o3bob2obo2bob2o2bo3bob2ob2o4bo$3b2o3bobo9b2o
4bobo2bo3bo3bob2o3b2obobobo2bobo11bo9b2o3bo3b2obo2bo2bo2bo2bo4bo4bo6b
2ob4o4bo13bo3bo10bobobo2bo5b2ob2o2bo11bob4o7bo6bo2bo3bobo3bo4b2obo2bo
2b3o5bo2bo$2bobob2o5b2obo2b2o2bo7bo4bo6bo2b2o6bob2o4bo14bobo4bobo2bo3b
obo8bobo7bo3bo5bo4bo14bo3b2o2bo4bo4b2o3bo3b2o12b2o2bo3b2obo7bobo3bo4bo
3b3obo2bo11b4o2bo3bo4bo$bo6bo7bo2bo2bo2bobo11b2o2bo4bo5b2obo2bo2b2o4b
3o9bob2ob2o5bobo3bo10b2o2bo3bo6b2obobobo5bobobo3bo4bo4bo2b2o3bo9b2o3b
3o4bo2bob3o3b2o8b3o2b2o8bo5bo7b2o3bo3bob2o5bo$8bo5b3ob2o9bobo2bo2bo5bo
11bo5bo2bo7bo4b2o4bo5bobobo2bo16b2obo3bo15bobo11b2o4bo3bob2o5b3o5bobo
4bobo2bo5b2obo5b2obo2b2o2bo3bob4o3bo2bo4bobo4bobob4o3bo$3bo2bo8bo11b2o
2bo8b2obo5bo5bob2o2bo2bo2bo3bo3b2o3bo11b4o3bo3bobobo4bobo3bo2b2obobobo
6bo2bob2o3b2obo3b2o2bo5bo2bob3o10b2o3bo3b2o2b4o3bo2b2o2bo3bobo2b2obobo
2bob2o2bo7bo$3bobobo7b2o3bo11bobo4bo3bo6b3o2b2o7bo2bobo3b2o4bo8bo3b2ob
o11bob2ob2obobo8bobo6b3o10bo2bo2bo5bob2o6bobobo2bob2o3bo2bo3bo3bo6bo5b
o10bobo3bo8b2o2bo13b3o$2b2obo2bob2obobobobo2bo6b2o6bo2b2o3bo2bo4bo13bo
bob3o10bo6bob2o6bo3bo2bob5o12bo2b2o4bo4b2o21bo3bo15b2o3bo7bo25b2o11b3o
b2o6b2o5bo$4bobobobobo6b2obo5bo6bo5bo4bobobo5bo2bo4bobobobobo2bo2b3o2b
2o3bo5bo7b4o9bo2b3o2bo8bo2b4o3bo2b3o4bo3bo9bobo11bo5b2o2b3o5bo6b2o7b2o
bo4bo4bo2bo6b4obo$o3bo4b2obo3bo2b2o8bo3bo8bo2bo6b2o4bo2bo5bob2ob2obobo
3b2obo8bo7bo11bo5bo6bo6b2o2bo5bob2o4bo14bo4bobo7bob4o7b3o2bobo7bo3bobo
bobo3bobo2bo2bo5bo3bo5bo$9b2o9bo2b4o6bo3b2o4bo5bo4bo2bo2bo3bob2o5bo3b
3o4bobobo4bobo5bo2bobo4bo2bo10b3o6bo5bobo6b3ob2o12bo5bobo3bobo4bo2bob
2o6bo3b2o2bobo3bobobobo4b2o5b2obo2b4o10bo$ob2o6bo8bo2bobo4bo3bo2b2obo
8bo4bo7bo2b3o12bob2o3bo8bo5bo8b2o6b2o2b2ob2o3bo6bo6bo5bo2b3obo5bobo5bo
bo2bobo2bo6bobo2b2o2b2obobob2obo3bo12b2o3b2o16b3o3bo$5bo4bo4bo3b3o3bo
3bobo5b3o3b3o2bo2bobo3b3obo4bo8bobo4bo2bo2bo2bo2bo5bo2b2o33bo2b2obobob
ob2o6b2o2bo13bo5bo9bo4bo2bob2o9bo3bobo3b2o2bo14bob3obo3bo2bo$b3o4b3o3b
2o3bo3b2o9bobobo3b2o3bo12bo3bo2bo3bo2bobo4bo7bo3bo2b3ob2o3bo6b2obo7b2o
bo5bobo2b3o2bo4b2o2bo3bo3b2o8bobo4bo2bo8bo17bo2bo12bo9bo2bo2b2obo8b2o$
5b2o9bo3b2o8bo4b2o5bo7bo4b2o9b2o6bob2o3bobobo2bo7bo2bo4bob2obo2b2o3bob
o2b5o8b2o6b2obo2b3o2bo2bob2o7bo12bo4bo8bo11b3o3bo5bo5b3o4bobo2bo3bobo
3b2o2bo2bo$4b3o4bo2b4o4bo4bob2o6bob2o4b2o2bo4bo4bo5bob3o8bobo2bo3bo3bo
bo6bobo16b2o6b3o8b2o11bo4bo4b2o4b3o5bo3bo2bobo3bo3bobo6b2o4bo7bobo3bo
2bobo3b2obo6b2o6bo3b2o$o4bob2o2bo15bobobo5bo3b3o6b2ob2o9bo4bobo2bo21bo
7bobo3bo2bo5bo2bo3b2ob2o3bobo7b2o8b5obo2b3o4b3obo4b2o16bo2b2ob2o3b2o8b
o4bo5b2o4b3o2bo5bo$o3b3o2bo2b4o3b3o7bo30b2o3b2o2bo6bo3b2o9bo2bo3bobo2b
2obo2bo2bo9bo13bobo6bobo2bo5bo2bob2ob2o5bo2bobo2b2o13bo3bob2o6bo5bobo
6bobo3bo5bo2b2o6bo$3bo2b2o10bo20b2o3b2obo4bob2o2b2ob2o8bobo9bo3b2o2bob
o4b2obo2b2o3bo7bo14bobob2obo3bobo3bo2bo3bo2bo4b2o3bo4b2obo11bob2ob2obo
bobo6b2o3bobo5b2o5b6obo4b2obo3b3obo3bo$b3o9b3ob2obo6bobobo3b2o6bo11bo
3b3o7b2obo5bobo2bo4bo4b2o2bo7bob4o4bo4bo7bo16b3ob4o5bo9b2o2bo2b2o11bo
8bob3o9b10ob2ob3o12bo3bo$4b4o7b4obo13bo9bo6b7obobo3b2o5bo5bo3bo4bo7bob
2obo3bo2bo4bobo2bo9bo10bo3bobobo4b3o4bobobo3bob2o2bo2b3o2b2o7bo2bobobo
bo8b2obo3bo4bo2bo7b2o2bo5bob3o4bo5bo$o7bobo5b2o3bo7bobo2bobo5bo4bo2bo
2bob2obo3b2obo2b2o2bo5bo3b2o2bo3bo4bob3o2b2obo6bobo2bobo4bo2b3o4bo11bo
14bo17b2o5bo2b2o2bob2o4bo4b2o7b2o2bo7bo3bo4b2ob2o3b2o$bobob6ob2obo3bo
6bobo6b2obo7bo4bo2bobobo3bo5b3o4bo3bo2bo7bo8bo2bo3bo3b2o2b2obobo2bo5bo
bo4bo7bobo12bo7b2obo7bo6bo4bo8b3o11b3obo3bobo10bo4bo3b4o2bo$obo3b2o3bo
4bobob2o3bo5b2o11bo6bo4bo2bo3bobo4bo2bo4bo3bo7bo3b3o3b2o5bo10bo4bo3b2o
13bobo3b2o5bo3b2o7bobo6bo3bobo2bo5b2o4bobo4bo3bobo4bo5bo4b2o3bo5bo7bo
2bobo$3bo2b2o2bo14bo7bobo4bo8b3obo6bobo5b3o5b3o4bo4bobo2bo9bo7bo4bob2o
bobo3bo10bo4bo5bo3bo3bo5bo5b2obob2obo5bo2b2obo4bo2bo4bob2o2b2obo43bo$
2bobobo5b3o5bo3b2o5bo9bobo3bo3bobo3bobo3b4o2b2o16bo3bobo8bo2b2o4bo11bo
9bobo2bo2bobo7bobo3bo10bo4bo2bo10bob3o3b3o4bobob4o19bo19bo$6bo2bobo2bo
bo5bo4bo4bobobo8bo7bobobo2bo4bo18bobobo2bo3b2o11bo3bo6bobo2bo4bo3bo4bo
4bo3b2o6bob3obo2bo5bo9bo2b2obo2bo14b4o4b2o13bo8b2o9bob2o3b2o$o3bobobo
2b4obo3bobo6bobo8bo3bo4b4o9bo5bo9bobo8bobo8b2o2bo6b2obo3bo5bobo6bo2bob
o5b2o11bo3bo4b2o6bobo3bo6bobo2bo3bo10b4obo2bo5bobo6bo4bo3bobob3obo4bo
2bo$2bo2bobo13b2o4bobo2bobo2b2o4bo3bo9bo2b2o4b2obo2b2o2bobobo4bo3bob2o
bo2b4obobo2bo3b2o2bo5bo5b2o4bo2bobobobo4bobo2bo3bobobo11bo3bo2bob3o4b
2ob2o4bobo6b2o4bo2b2o2b2o6bo9bo3bo3bobo4bo$5bobobo3bo13b3obo2b4o3bo4bo
17b3o8bo8bo6b2o9b2o7bo3bobo4bo4b2o3bo3b2ob2o2bo12bo3bo8bo2b2o9b3o2bobo
3bo3bobo12bo10bobobob2o8bo2bo3bo2b3ob2o$11bo2bo2bo2b4o3bo3bo6bobo3bobo
7b2o6bo9b3o3bobo5bobobo2b2o3bo2bobob2ob2o4bobo3b2o4bo9bobo8bo2b3o4bob
2ob2o3bo2bobobo6bobo3bo5bob2obo3bob3o3bo3bo2b2o2b4o3bo3b3o2bobo4bo10bo
$7bo3bo2bo2bo3bobo5b2o3b2o6bo3bo19bo2bob2o3bob2obob2o4bobo2bo8b2o12bo
3bo4b2o3bo6bo3b2o2bo7bo4bobo6bo3b2obo7b5o4b2obobo8b2ob3o12b2o9bo3bo4bo
2b2o2bobo$bo7bo4bo10bo6bob2o3bo4bobo3bo7bo9b3o8bo7bobo5bob2obo5b3o5bob
o4bobo4b2o21bo7bo11bo2b2ob5o7b2o9bo21bob3obobo4b2o10bo6bo$6b3o3b3ob3o
8bobo2bo5b2obo19bo5bo5b5o4bob2o3bo2b2o6bo8b3o6bobo3bo7bo22b2o5bo2b2o3b
o4bo3b2o6bo4bobo2bo3b2o5bo2b3ob2obo4bo4bo8bo4b4ob2ob2o$o5bo8b2o15bo5bo
6b2o3bo12b3o5b2o2b3obobo5bobo9bo2bo2b2o2bo2bo2bo2bo5bo10bo13b2o4bo5b2o
bo3bo6bo5bo10bob2o2bo6bo10bo3bo9b2o5bo8bo$2ob3obo3bob2o3bobo4b4obob4o
8b2o3bo5bo3bo3bo2bo7bo2bobob2o2bo3bobo6bo6bo4bo5bo2bo3bo4b2o2bo3bo8b2o
2bobo6bo3bo3bo5bo7bo9bobo3bo9b4obo2b2o11b2o8bo9bobo$5bobobobobo3bo4bo
6bo8bo5bo2bobo2bo4bobo3bo3b2obob3o5bo2bo7b2o9bo3bo4b3o4bo2bo10bobo2bob
3o6bo11b3o2bo2b2obo3bo3b2o4b2o28b2obo3bobo10bob2o3bo$3obo2b2o5bobobo2b
4o2bobo6bo3bo10b4obo5bo3bo5bo3bo12bo4bo12bo5bo3bobo6b2o5b2o3b2o4bo2b3o
6bo4bobo2bobo8bobo10bo4bo3bo3b2o6bo14bo4bo12b2o6bo$3b2o3bo2bo2bo5b2o8b
4o2bo2bo2bo2bobo8bo4bo3b2o3bo3b2o4bobobobo7bo4bo8bo4bo7bo2bob2ob2o3b2o
3bo15b4o6bo3bobo2b2obo6bo3b2o5bobob2ob2o7bo12b2ob2o2b3o18b2o$3o3bobo3b
ob3o4b6o3bo2bob2obobo4bo4b3o3bo6bo13bo3bobo6bo3bo6bo5bo3b2o3bo2bobo2bo
4b3o5b3o8bo9bobo7bo2bo4bobo6bo6bo9bo7bo2bo5bob5o18bo4b2o$b3o2bo2bo4b4o
2bo3bo5bo5bo2bo3bo2b3obo2bob4o2bobo2bo7b3o2bobobobo2bo3b5obob2o9b2o7b
2o2bo5b2o8b3o2b3o2bobo5bo6b3ob2obo10bo6bo3bobobo3bobo2bobobo5bo3b2ob2o
bo10b2obo3bo2b2o$5bo4bo6bobo2b2o4bo5bobo2bo3b5o13bob2obo5bo8b3o2bo8bob
3o8b2o7b3o2b3obo4b2o7bo2bobobo2bo5bobo14bo4bo2bo5b2o2b2o12bobo5b2o2b2o
3b2o3bobo6bo2bo2b2o5bo$bo5bo3bo5bo6bo3bo8bobo2bobo3b2ob2obobo2bo2bo3bo
5bo5bo3bobo2bo9b2obo2b2o4b2o12bobo4b3o3bo2bo2b2obob4o7bo3bo8bo5b2o18bo
4bobobo8b2obo3b3obo3b3obo4bo4b2obobo4bo$2obo3bo2b2o7bo2bo4b2o8bo3bo2b
2obobo4bobo7bo9b2o2b2obo5b2o7bobo6b2obo2bo2b3o4bobobo3b2o3b3o4b2o4bo2b
3o8bo5bo9bo6b4o4bo3bobo4b2ob6o6bobo25bo4bo$bobobo3b2o2bobobobo2bo7bo2b
o9bo13b2o2bo6bo2bob2ob2o2bob2o3b3obo2bo2bo5b2o2b2obo7bo3bo2bo2bo5bo3bo
bobo2bo3bo4bo4bo2bo6bo2b2obo7b2o7bo3bo4b2o11bo8b3o8bo4bobo4bo$bo2bo3bo
10bo2bo2bo20bo4b2o3bo3bo5bo2bo6bo4b3o13bo5b2o4bo2b2ob2obob2o3bobo4bo2b
2obo6bobo3bobo5b3o8b2o3bo2bo17bo12bo2bo4bo3bobo8b2o2bo5b5o2bo3bo$obobo
4b2o2b2o3b2o2b4o2bo2bobo12b2ob2o15bobobo6bo2bo4bo2bobo4b2obo3bo3bo5bo
5b2o2bo3bo2bo7bo6bo7bo4bo4bo4b2o2bo7bo6b2o8bo9bo2bo5b2o2bo3bobo4bo7bo
2b2o3b2o2bo3bo$o2bob2o2bobo3bobo4bo2bo2bo2bo6bo4bo7bo3b2o8b2o3b2obo2bo
3bobo3bo9bo2b3o3bo6bo2bob2o7bo5bo6b2obo3bo2bobo3bobo5b2obo5bo2bo5b2o3b
2o2b2obobo8bo2bobo4bob2o7bobo3b2obo4bo2b2obo3b2o3bo$7b3obob2o2b4ob2o5b
o10bo6bo6bobo8bo4bo7b2o4bo6bobo6bo4bo4bo7b2o2bo7bob4o2bo2bo6b2o4bo2bo
4bo3bo12bobobo5b2obo7b3o6b5o6b2obob2o4bob2o5bo6bob2obob2o$4b3o3b2o8bo
7b2obobo3bo2bo2bo5bobobo2bob2ob2o2bob2o2b4obo4bo3b2ob2o6b2obo2bo2bobo
5b2obo4bobob2o11bo2bo2bo10b2o8b5o3bo2bo7bobobo6bo2b2o8bo4bo3b2o3bobo7b
4obo2b2o7b4o$6b2o2bob2obob3o3bobobobo4bob2o2b2ob5o3b2o3bobo4bo2b2obo2b
o2bobo30bob2o2bo2b3o3bo5bobo3bo5bo2bo2b2o7bo9bo20bobo2b2o3bob2o3b2o2b
2o3bo5bo2b2o5bo2bo4bo4bo5bo2bobo$o4b2o4bob2o7bobo2bo2bo5bo5bo4bo2bobo
5bo2b2obo3bo5bo3bo2bo2bo7b3ob2o2bo14bo2bo2b2o2b3o4bo2bo6bo3bo2bo15b2o
5bo2bo15b3o3bobo11b2o4b2o3bo10bo2b2o4bo2bo3b2o2bo$o2bo2b2o2bo8bo3bo2bo
3bobo3bo3b2o2bobobo5bo5bo7bo4bo3bo7bobob2o3b2o7b2o10bo7bo3b2obobobo8bo
5bo2b2o3bo3bo5b3o5bo8bo5b3o2b3o3b8o4b2o6bobo6bo3bobo2bobo9b2o$o4bobo6b
2o4bobo6bo2b2o20bo4b2o5b2o2bobo2b2ob2o6b3o4bobo3bo5b2ob2o5bo7bo3bo4bob
2o2bo9b3o3b2obobobo4bo12bo9b2o2bo7bo3bo7bo5bo2bo3b2o7bobob2o3bobo2bo3b
2o$ob2ob3obo6bo13b2o3bo7bo11bo2b2o3b3o5bo6bo2bo2bo3bo4bo7b5obo3b2o10bo
bo3bo3bo3bo6bo8bo3bob5o3bo2bo9bo5bo4bo2bo9bo10bo3b2o4bo8bo6bo4bo2bob2o
$b2obo7bo3bo3bo10bo3bo3b2o6b2o9bo9bo3bo2bo2bo3bo2bob2o4bo4b2o10bo2bo2b
o3b2obo11bo8bo3bo2b2o2b3obo3bo2bob2o3b2o9b2o8bo8b2o7bo4b2o9bobob2o2bo
2bo3bo7bo$3b2o7bob4ob3o3bo3b2obo3bobo11bo2b2o5bo5bob2o7bobo3bo4bo5bo4b
o3bo8b2o2bo2bo5bo3bo3bo5bo2bo3b2ob3o4bo3bob2o2bobo3bo3bo4bo7bo2bo3b2o
9bobo13b2obo3bo2bo5b2o2bob3o6bo$o2bobo3b3obob2o4bo3bo6bobo2bo4b2o2b2o
2bo2b2o7bo3bobo5bo3b2o2bo5bo2b2o7b4o8bo6bo5bo2bob3o9bo2bo3bo2bobo2b3ob
o2bo3bo4b3obo7bo2bo6bo7b2o2bobo16bo2bo3bobobo5bo3b2o4bobo$4bobo5b3o2b
2o4bobo10bobob4o7b2obo2bobob2o3bo2b2obo2b3o3bo4b4o2bo4b3ob2ob3o3bobo3b
obo5bo4bo3b3obobo5b2o3bo2b2o10bo2bo3b2o3bo9bobobobob5o2bo3bo2bo4bobo2b
o6bo7b2o2bo9bobo2bo$o6bo4b4o2bo2bo4b2obo3bo2bo4bo2b2ob4o3b2o2bo3bo11bo
4bo10bobob3obo3b2o5bo6bo6bo3bo4bo2bob3o5b3o5bo4b2o2bob3obo9b3obobobobo
bo4bo6bobobo2bo7bobo5b2o5bo8bo2bo3bobo2bo$6bob2o11bo6bob3o5bo2bo5bo13b
obo8bo2bo5bobo5bo4bo7b2ob2obo3bob2o9bobobo6b2ob3o4bo2bob2obob4o3b2obo
2bo7bo2bobo4b2o3bo2b2obo2bo13bo2bo6b2o4bo2b3o11bo6bo$2bobo2bo8b3o9bo6b
o7b2obo2bo2bobob2ob2o4bo6bo2bob2o2b3o2bo7bo5b3o2b2o4b2o5bo6bobo9b2o6b
2o3bo2bob2o4bo4bo2bo5bobo2bo2bo3b3o7bo6bo2bo5bo3bo3b2ob2obo4b2obobo7bo
bobobo2bo$bo11b7o5bo21bo2b2ob2o3bo3b3o2bo13bo4bo7bo6bo4b2obo3b3o8bobo
8bobo7b2o5b2obo2bo3bo3bo2b2ob3o11bo5bo6bobobo8bo4bo2bo6b3ob2o2bobo3bo
8b2o$o6bo3bo2b5o2bo5b2obo10b2o4bo4b2o2bo4b6ob2o15b2o16bobo2bo3bo13bo2b
2o4bobo4bobo5bo7b2o18bo2bob3o3b3o2bo8b2o22b2o7b2o2b4o2bo$bob2obobo18bo
7bo6bo3bo2b2ob2o3bo5b3o2b2obo2bobo4bo7bob2o6b2o6bo4bob2o4bobo6b2o2bobo
6bo7bo10bo3bo4b2o4b3o6bo2bo3b2o2b4o7bo7bo6b3obo6bo7b2o2bobo$bo7bo4b4o
2b7obo2bob2o6bob2ob2o6b2obo3bo2b2o3bo3bo8bo2b5o3b3obo3b3ob2obo9b2o3b2o
bo5b2obo9bo8b2o2b2obo2bo11bobo13bob3obo10bo5bo3b2obo5bo3b3o2b2o14b2o$b
ob2ob2o4bobobobo11bo4bo2b2obo2bobo2b3obob2o6bo4bo9bo7bo6bo3b2o5bo4b2o
4b3o2bo3bo2b3o8bo3bobo2b2o2bo7bob5obo7bo4b2ob2o2bo10bobobobo2bo4bo14bo
bobo7b2obo2b2o2bo3bobo$5bo2bo2b2o5bo11bob2o11bobo4b3obobo3bo13bo2bobo
4bo3b2o5bo4b3o8bo5b2ob4o4bo3bobo2b2o3bo2b2o5bo2bo3bo2bo2bob2o4b2o3b2o
5bo5bo4bo2bo5b2ob3o2bo7b2o3b2obo11b2o2b2o4bo$10bo6bob2o6bo3bo6b2ob2ob
3o2b2obo3bobo3bo4bobo3bob5ob4obo3b2o5bo2b2o5bob2o5bobo4b2o9b2o4bo4bo
10bo4bo2bobobobo2bo2bo5bo3b2o7bo11bo3b2o6b2o5b2obobo3bobo5bobo2bo5bo$
2bo7bo3b2o3bo2b3ob2obob3o9bobo5b2ob2o3bob3o3bobobob3o13bo2bobo4bobo4b
2o4bo5bobo2b3ob2o6b2o10bobo9b2o7b2ob2o3b2obo6b2obobo3bo2bobo6b2o3bob2o
2bo2bobobo4bobo2bo3bo6b2o2bo$2bo2bo2bo3bob2o3b2o8bo4b2o4bo2bo4b2obo14b
o2bobo10b2o8bo2bobo4bo2bo6b2o3bo3bo3bo2bo3bob2o4bo3b2o12b2obobo5bo4bo
9bob3o2bo2bo3bobo2bo2bob3o2bo3bo2bo2bobo3bo3b3o4b2o5bo2bo$2o3bo2bobo3b
o4b4o2b2o2b2o3bo7bob2o5bobo7bo2bob2o3bo10bobo8bobo2bo2bo3bob2o5b2o2bo
3bo5bob2o3b2o2b3obo13bob2o7bo9bo6bo3bo4b3o7bo2b2o4bo8bo3bo7bobobo5b2ob
obo2b3o$o4bob5ob2obo15b2o3bobo4bo6bo2bobo7b3obo8b2obo3bob2o4bo2bobo4bo
b2obo2bo5b3o4bo3bo2bob3o4bo2bobob3o2bo3bo4bo3bo5b2ob2o5b2o8bo2b2o3bob
5obo3bo2bo5bo2bo2b2o8b2o3bobobo7bo2bo$obo4bo7b2obo5bo2bo6bo4bobo2b3o5b
2o5b2o4bob3o6bobo4bo4b4o2bobo5bo4bo10b2ob2o3b2o4bo6bo2bo7b2o11bobo10bo
4bo14b2o2bo2bo7bobo2bo5b2obo10bobo3bo2bo$b2o2bobo2b3o5bo15b4o7bob2ob3o
2bo16b3o7bob5o3bo3bobo3bo5bobo14bo2b2o2bo3bo16bo2bo9bo6bo4bo3b2o5bobo
2b2obo2bo2b3o7b5o4bo3bo6bobo3bo6b3o2b2o$4bo2bo5bo4b2o6b4obo7bo12bo2b3o
4bo2bo6bo2bo2bobo4bo2bo2bo5bo2bo6bo11bo2bo5bo5bo2bobo9b2obo5b3o4bobo
10bo2bo4bobo2b2o4bob4o5b2o3bobo3b2o3b2o7bo5bo2bobo4bo2b3o$b3o4b2o5b3o
3b3obo7bo4bo6bo4bobo3bob2o3bo8bo3bo9b2ob2o4bo4bo2bo2bo4bo3b3obo5bob3ob
o5b3o4bobo2b4o15bo2b4ob3o5b2o3b2o7bo4b2ob2o5bo5bo2bobobo2bo4bo2bo5bo3b
o2bo$b2o6b3o15bo3b2o3bo5bo2bo9bo2bo6bo6b3o6bo4b2o8bo11bobob4o4bo6b3o3b
obo3bo2bo2b3o7bo2bo5bob2o4bo3bo4bo4b2o3b2o3bobo9b2obo17b2obo8bo2b2obo
2bo$3bo2bo4bobo2bo4b2o2b2o4bo2bo6bo9bo2bo4b5o9bo4bo4b2obo7bobo5bob3o5b
o3bobo3bo5bo9bo10bobobo2b3o2bo6b2o3b2o3bo2b2o2bobo2bob2o5bobo3bo8bo9b
2o4bo8b2obobo5b2o2b2o$3bo3bo7bo2bo3bo2bo3bo5b2o2bo3bo6bo2bob2o2bo7b3o
4b2o7b3o2b2o10bo7bo3bo5bo2b3o3b2obob2obo5bobo2b2o5bo3bo8b2o2bo5b2o11bo
b2o18b3o5bobo2b2o3b2o5bo2b2ob2obo$o2bo3bo2bobo2bo2b4o7bo12bob2obobo4bo
bo5bo7b3o5b2o3bob2obo7b2o4b2o4bo12bobo7b4o12b2o3bobo3bobobo2bo5bob3o3b
obo4b2o2b3o2bo2b3o3bobo10bo3b2o3bobo5bobo5bo3bo3bo3bo$bob2o12bo2bo13bo
bo6bo4bo5bobo2bo9bo2bobo14b3o3bo8bobobo6b2o4bo6b2obobob3obobo10b2o7bo
3b3o2bob4obo2bo6bobo2b2ob3o8bo5bobo7bo11bobo2bo6bo4bobo$10b2o5bo2bo4bo
6bo5bo4bo4bo10b3o9bobo2bo2bo8bo8bo3bo4bob2o3bo9bo5bo2b2o4bo6bobo3b2o
10b2o7bo7bo4bobob2o24bo3bo4bo6bo3bo3bo2bo10b3o$4bo2bo10b3o9b2o5bob2ob
2obo4b2o11bo2b5obo2bo7bo12b2o4bo2b2o2bo2bo12bo13bo11bo3b2o9b2obo2b2o5b
o3bo3b2o9b3obo3b5o3bo11bo4bo4bobo2bo4bo2bo2bo$4bo4bo11bobo19b2o2bobo2b
3o2bobo2b3obo3bo4bobo3b2o5b2obo4b4o2bo6bo11bo6bo2bo11b4o8bo3b2o2b2o2bo
2bo2bo5bo3b4o2bo6bobo10bobo5bo2bo2bobob2obo3bo8bo2bo3b2ob2o$6b2obo4bo
5b2obo2bo18bobo3bo6bo4bobob2o4b2o4bo2bobo6bobob2o3bo9bo2bo2b2o4bobo4bo
2bob2o4bo4bo5bo17bobo2bo5bo5bo4bo2bo5bo2b4obo5bo4b2o4bo4bo5bo2b2o5bobo
6bo$9bo6bobobo3bo2bobo3bobo4b2ob2o11b2o3b3o2bo4bo7bo10bo4bo2bobo3b2obo
2bo4bob3o4bo3bo2bo10b2obo2b2o13bo5bo15bo2b3o13bo2bobo9bo5b2o5bo6bob2o$
3bo3bo6bo4b5o7bo4bo6b2o4bob2obo3b2o8b2o2bo10bo5bo4b2o7bo12bob3o2bobo5b
o3bo2b2o4b2o8b3o5b2o5bobo2b2o2bo3bo9b2o10bo3bo2bo6bob3obo3bo2bo4bo2bob
o6b4obo$3b3o10bo6bo4bob3o3bob3o2bo3bo4bo9b2obo2bob2o4b3o4b2o4bo3b2o4bo
4bo3b2o3bo3bo3bo5bo2bo4b2o3bo4bo2bo2bo12bo6bo3b3o2bobo2bob2o4bo3b3ob2o
bo2bo3bobob2o2bo5bobo7bo2bo5bobo2bobo$2bo3bo2bob2o8b2o4bo8bo5bo10b2o3b
o8bobobo3bo3b2o9bo3bobo8bobo4b2obo9bobobo6b3o5b3o2bobobobobo5b2obo2bob
o3b3o9bobo8b2o4b2o4b2o7bo20b2o3b2obo$4bo3b2o4bo3b2obo2bo2bo8bo10bo2bo
7bo3bo2bo12bo2bo2b2o2bobobo4bobobobo3b2o13bo3bo2bobo2bo7b2o3bo2bo2bo6b
2o8b2obobo7bo2b2o4bo12bo5b2o4b2o4bob2o2bo3bo2bo10bo2bo$2bo5bo2bo2bobo
5bo3bo9bo5bo6b2o2b2o3b3ob2obobo2bo4bo2bo3bobo2bo9b3obo7b2o6b3o6bo6b2o
4bo2b3o5bo2bo8bo2bo9bobo11bob2obobo7bo4bo2bo3b2ob4o12bo3bo8bo$bo8b2o2b
2o4bo5bo3b2obobobo2bo3bo2b2o3bo5bob2o4bo4b3obo2bo2bo2bo6bobobo3bob2o2b
2obo3b2o3bo3b4o8bobo3bo2bo3bo8bo4b3o11bob4o4bo9bobobo4bo3bo3bobo4bo2bo
bobobo5bo6bo6b2o6bo$2bo4bo7bo3bo3bobo5bobo4b2o3bo7bob2obob2o5b2obo6b3o
4bo2bo3bobo5bo6bo8bo17bo4bo2b3ob2o12b3o3bo5bo3bo2bo15bobobo4bo2b3o3bo
2b3obo2bo2bo3bo2bo3bo14b2o$6bo5bobo2bo3bobob2obo3bo2bo2b2obo6b3o2b2ob
2o4bo6bo6b2o3bob2o7b3o3bo3bo8b2o3bobo5b2obobobo4bo2b2o10b2obo6bo2bob3o
7bobo10b2o2bo2bo2bo6b2o3bo4bob2o4bo11b3o2bo3bo2bobobo$o2bob2o7b4obo9bo
3bobo6bob2obo4bobo7bo5bo5bo2bo9bo9b3ob2obo9bo3bobo8b3ob2obobo4b2o6b2ob
o2b3o20b3o6bo2bo3b3o13bo3bobo4b2o3bo3bobob2obo8bo2bo3bo$o2bobo11bob6o
3b2o2b2ob2obob2o7b2o11bo3bo9bo8bo3bo2bo3bobo6b3o8bobo11bo5bo2bo15bobo
2b3o2b3o4bo2bo4bobo9bo3bobobo2b3ob3obo3b3o17b4o4bo5bo$o9bo8bo7bo2b3o2b
obo3b2o5bob2o3bo4bobo6bo4bo3bo9bo4bo4bob4o3bo2b2obo4bobo2b2o2bo8bobobo
6bobo7bo5bo11b4ob2o4bobobo5bo2b5o3bobo3b2obo9bo2bo2bob4o7bo3b3o2bo$2bo
3b5ob2obo6b2o5b3o7b2o3b2o4bo2bo3bob2o2b2o11bo3b2o9bobo9b2o2bo2bo6b3o5b
o5b2obo3b2o2b2o3bo2bo4bobo4b2o3bo3bo10bo2b3obo2b2o3bobo4bo15bo9b2o7bo
4bo10bo$2bobobo2b2o3b2obo2bob2o20b3o2b2o2bobo6bo2b2obo2b2o8bobo5b2o2bo
2bo2bo7bobo4b4obo2bo2bo4bob2o3bo2b2o2bo8b2o6bo2bob3o6bo9bo3bobo7bob3o
3bo4bo2bo2b2o2b2o3bo7bo2b5o2b2o8bo$8b2o2bo5bo5bobo2b2obo5bo13bobo3bo2b
o2bo7bobobo8bo8bo2bobo5b3ob2o6bo2b2o3bo4bob4o9bo2bo4bob3o5b2o7b2o13bo
3bo2bobo15bo6bo4b2o9bob2obo6bo3bo3bo$13b2o3bo6bobo5bobo4bo11bobo2bob2o
19bo3bo10bo5bo2bob5obo4bo3bo3bo8b3o6b3o4b2obobobo7b2obobobobo3bo3bo2bo
3bo2b2o2bo6bo6bobo4bo2bob2o2bo3b2o2bo2bo15b2o$4bo3b4o2b4o5b3ob2ob2obob
o4bo2bob2o3bo6b2o2bob2o4b3ob2o2b2obo6b2o5bo4bo4bo3b2o7b2ob4o3bo2bobobo
2b2o12bobo4bo11bo2bobo4b2o6b2o5bo6b2o4b3o5bobobo6bo2b2o3bobo7bobo$4b3o
6bo3bo2bobo3bo3bob2obo9b2obo4b2o2bobo3bobo9bo4bo7bo3bo11bo3b2o2bo13b2o
bo2bobo5bob2o2bob2obobobo11b2o4bob2o4bo8bo2bo9bo8b2o3bo4bobo3b2o7bo4b
4o7b2o$2o4bobo12bo8bobob3o5b2o18bo3bo5b3ob2o7bo7b4ob3o3bo4b2o11bo3bobo
3bo12bo5bo3b2o4bo3bo15bo3bo4bo9b3o6bo3bo13bo7bo3b2o4bo8bo$bo4b2ob2obob
obo5b2o3bo4bobo4b6o6bo2bo6bobo10bo4b2o8bobobo3b2o2bob2obo2bo3b4o8bobob
obo2bo8b2o5bobo2bo6b2o5b2o4b2o3bo6b2o5bo4bo4bobo3bo14bobo8bo2bo4b2ob3o
5bo$8bobobo3b2o7b2o2bo5bobo3bo7bo4bo4b8ob2o6bo10bobobo6bo6b2o10bo2b2o
2bobob2ob4o3bo6b2o5bo9bobo8b3obo2bo5b2o4bo6bobo4bo3b2o5bo2bo3bo5bo5bob
o4bo$8b2o2bo8bobo2bo4b2o8b2o2bo11bo4bo7b2o2bo5bobo8bo4bo6bo10b3o8b3obo
4b2o2bo5bo3bo6bo7bo12bo3b3obo2b2o2bo7bo17b4o4b3o3bobo2b2o6bo6bob2o$4b
2obo7b2o5bo3bo10bobo6bo6bo4bo2bo2bobo9b2o4bobo2bo5bo3bo2bo3b3obo10bo5b
2o5b6o4b2o7bo2bo8b2o4bobob2o2bo3bobo4bo2bo5bobobobobo3bo4bo3bo2bo5bo2b
obo7bob2o$18bo4bobo3bo2bo14bo4bo2b2o3bobobo3bo2bo5bob3o5bo3bo5b2obo5bo
5bob3o7bo5b3obobo2b3o3bo2bo4b2obo3bo3b5o7bo6bo3b2ob4o6bo7bo6bo2bo3bo9b
o8bo9bobo$b2o2bobo4bobo3bo9bo3b2obo2bo3bo3b2obo2bo3bo3b2o2bo15bobobobo
10bob2o8b3o6bobo5bo3bo2bo7bo18bobobo2bo5bo7bo2bo11bo5bo2b2o4bo4bob4obo
2b2o3bo2bobo3b2o3b2obo2b2ob2o$2bobobo13bob2o4bo2b2o5bo8b2o2b2ob2o3b2ob
o5b4o8bobo3b4o3bo3bo3b3obo3bobobo2bo3b3o9b2ob2o4bo2bo4b2o3bo5b3o2bobo
2bo5bob4o2bo9bo2bo8bob2o3bo5bo3bobobo4bobo10bobo4bobo$3ob3o8b2o4bobo6b
o6b2o3b2o7bo4bo5bobo6bo14bobo2bo4b2ob2o3b2o6b2ob2o2bobo6bo2b2o3bo4bo2b
o9bo5bobo4bo6bobobo5b3obo7b3o2b3ob3obo3bo6bo3bo5bobo4bo5bobo$4bobo6bo
2bo16bo2bobob2ob3o2bo3b2o6bo8bo2bo8b3o2bobo2bo5bo4b2o13bo8b2o10b3o3bob
5o2b2o3b2o2bo2bobobo2bobo3b3o2b2o8b3ob2obo6b2o10bobo4b2o2b2obo10bobo3b
obo2bo$4b2o5b2o10bo4bo3bobo9bo5bo6bo2bobo3bo5b2o3bo7bo5b2o4b6obo6b2obo
3bo7bo2bo6b2o2bo5bo7bo10bobo6bobobobo2bo5bobo8bob2o2bo3b2ob2o4bo3bo4bo
7b2o2b4obo3b2o3bo$o2b2o4bo11b3o11bo4bo2b2o3b2o7bobo13bobobo6b2o5bo6b2o
2bobo3b2o6b2o2bo3bob2obob3obo4bo3b2o14bo2bob2ob2o2bo9bo37bob2o4bobo4b
2o9b3obo2b3o$13bo2bo6bob2o6bobo2bo3b3o19bo6bo4bo2bo3b2o6bobo3bo9bo3b2o
19bo4bo6b3o3bo4bob4o2bo2bo4bo2bobo3bo3bobo7bo4bo2b2obobo5b2o3b4obo4bo
5bo3bo2bo9bo3bo!

Code: Select all

#C The same pattern at generation 15,908,434, from which it never changes again.
x = 256, y = 256, rule = B256/S5678:T256,256
48ob207o$256o$256o$256o$256o$256o$256o$256o$159ob96o$256o$256o$256o$
256o$79ob176o$256o$256o$256o$256o$256o$256o$186ob69o$256o$256o$256o$
186ob69o$60ob195o$256o$256o$256o$256o$256o$114ob141o$256o$256o$256o$
107ob148o$b255o$256o$256o$217ob38o$25ob230o$213ob42o$256o$256o$256o$
256o$256o$60ob195o$256o$256o$256o$256o$256o$159ob96o$256o$179ob76o$
256o$256o$256o$256o$256o$256o$256o$256o$256o$36ob219o$256o$256o$49ob
206o$160ob95o$256o$256o$256o$256o$256o$165ob90o$256o$256o$256o$256o$
256o$256o$256o$256o$256o$175ob80o$256o$156ob99o$256o$256o$256o$34ob
221o$256o$256o$256o$256o$44ob211o$256o$256o$256o$230ob25o$256o$256o$
256o$42ob213o$256o$43ob212o$256o$180ob75o$256o$44ob211o$44ob211o$245ob
10o$45ob27ob182o$256o$43ob212o$121ob134o$256o$256o$256o$256o$256o$256o
$256o$44ob211o$256o$256o$256o$256o$44ob211o$101ob154o$256o$47ob208o$
256o$256o$256o$256o$256o$111ob144o$256o$256o$94ob161o$47ob208o$256o$
256o$256o$44ob211o$256o$256o$256o$256o$256o$29ob226o$256o$256o$256o$
256o$256o$256o$256o$256o$256o$256o$256o$256o$256o$56ob77ob121o$256o$
256o$256o$256o$256o$256o$256o$256o$256o$256o$256o$53ob25ob176o$256o$
256o$256o$256o$80ob175o$149ob106o$256o$256o$251ob4o$256o$175ob80o$121o
b134o$256o$256o$256o$256o$256o$256o$256o$256o$256o$256o$256o$256o$256o
$256o$256o$256o$256o$256o$256o$256o$256o$256o$256o$256o$256o$85ob170o$
256o$256o$256o$256o$256o$211ob44o$256o$256o$256o$256o$256o$256o$249ob
6o$256o$144ob111o$246ob9o$256o$256o$256o$48ob207o$155ob100o$256o$256o$
256o$173ob82o$256o$256o$256o$256o$256o$256o$256o$256o$256o$156ob2ob4ob
3ob3ob3ob79o$39obob134ob79o$76ob179o$213ob42o$256o!
That's the bunny. (she/her)

User avatar
NimbleRogue
Posts: 744
Joined: January 11th, 2021, 11:48 pm

Re: Rules with interesting dynamics

Post by NimbleRogue » December 24th, 2025, 6:09 pm

Based on some preliminary results from Sylvie, I found some really interesting moving box ships
Here is a really beautiful c/280o that forms 2 different widths of boxes throughout it's cycle

Code: Select all

x = 8, y = 7, rule = B2c3aeq4eijknt5-n6ac78/S02eik3eknry4-ceyz5-cn67c8
b5o$2ob4o$obob4o$2obob3o$obob4o$2ob4o$b5o!
There are also some clean mealworms in the space

Code: Select all

x = 13, y = 3, rule = B2ce3ace4intw5-c6-in78/S02-an3-aij4-jy5-kqr6-n7c8
b10obo$obobob6o$b10obo!
Here is a fun SMOSADH (Spaceship made of Spaceships and die hards)

Code: Select all

x = 144, y = 109, rule = B2ce3ae4-ajryz5-eq6-in78/S02-ak3enry4-ejz5-kqr6-en7c8
26$51bob2o$31b8o5b11o$30b7ob2o5b4ob5o$31b8o5b11o$51bob2o8$51bob2o$44b
11o$45b4ob5o$44b11o$51bob2o11$31b8o$30b7ob2o$31b8o!
There are also some without S0
Here is a nice 2c/233o

Code: Select all

x = 8, y = 7, rule = B2ce3aekr4eiknt5-eky6cik78/S1e2ck3enqr4-cenqt5-r67c8
2bob3o$2b2obobo$2bobob2o$ob6o$2bobob2o$2b2obobo$2bob3o!
I bet there are some higher period box ships that have a clean internal rep, or that have a better corner reaction. I also bet there are some nonsymmetric box ships in the space
There you are

UnbihexiumFan
Posts: 114
Joined: December 14th, 2025, 5:29 pm
Location: I don't know, but my momentum is 119.61527592631098241526716413 m·kg/s
Contact:

Re: Rules with interesting dynamics

Post by UnbihexiumFan » December 24th, 2025, 6:52 pm

In B34-acity5cy6ain7c8/S2-i3-a4cirw5aqy6en7e8, despite the rule being very active, objects only occur once in every 6,810 soups.

Code: Select all

x = 64, y = 64, rule = B34-acity5cy6ain7c8/S2-i3-a4cirw5aqy6en7e8
!
[[ RANDOMIZE ]]
Are there any active rules which have a lower object:soup ratio?

User avatar
rabbit
Posts: 193
Joined: March 4th, 2024, 6:00 am
Location: Stuck inside a magician's hat. it hurts so bad

Re: Rules with interesting dynamics

Post by rabbit » December 29th, 2025, 9:18 am

This rule is black/white symmetric like Day & Night, but leaves 2x2 checkerboards at the edges:

Code: Select all

x = 64, y = 64, rule = B2ekn3aceik4cqrt5-akqr6ai78/S2-ai3akqr4-einw5jnqry6aci78
!
[[ RANDOMIZE ]]
2x2 checkerboard icenine:

Code: Select all

x = 64, y = 64, rule = B2-ai3aceik4cqrt5-akqr6ai78/S2-ai3akqr4-einw5jnqry6ai78
!
[[ RANDOMIZE ]]
EDIT: Slow stabilizing crystal:

Code: Select all

x = 64, y = 64, rule = B2ekn3aei4r5i67e8/S1c3-i4-n5-aei6aci78
!
[[ RANDOMIZE ]]
That's the bunny. (she/her)

User avatar
LaundryPizza03
Posts: 2596
Joined: December 15th, 2017, 12:05 am
Location: Unidentified location "https://en.wikipedia.org/wiki/Texas"

Re: Rules with interesting dynamics

Post by LaundryPizza03 » January 7th, 2026, 6:08 am

Lots of c/2o spaceships!

Code: Select all

#C [[ RANDOMIZE RANDWIDTH 128 RANDHEIGHT 128 ]]
x = 0, y = 0, rule = B01e2a/S2i34t5ai
b!
Sometimes, there is a backrake, which looks like this:

Code: Select all

x = 6, y = 13, rule = B01e2a/S2i34t5ai
4bo2$5bo2$o4bo2$o4bo2$o4bo2$5bo2$4bo!

Code: Select all

x = 4, y = 3, rule = B3-q4z5y/S234k5j
2b2o$b2o$2o!
LaundryPizza03 at Wikipedia

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