Rules with interesting dynamics

For discussion of other cellular automata.
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Moosey
Posts: 2479
Joined: January 27th, 2019, 5:54 pm
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Re: Rules with interesting dynamics

Post by Moosey » May 9th, 2019, 4:35 pm

fluffykitty wrote:Is there any c/4 diagonal c/4 diagonal rake that is smaller than this one?

Code: Select all

x = 30, y = 29, rule = /2-e/3
13.B3.B$4.B7.2A$3.A9.B6.BA$2.B2.AB7.A5.BA$.B2.BA.A2.B4.BA$A2.2A2.B3.A
5.B8.2A$.BAB2.2A2.B2.B12.2B$2.A4.B.B3.A$8.A5.BABA$15.A2.B$17.2A$16.AB
$15.BA2.A2.B$14.2A2.2B2.2A2.B$15.B.B2.BAB4.B$16.A4.A.A2.2A$23.B3.B.B$
28.A2$23.A$22.BAB$21.2A$22.B$23.BA$23.B2.AB$22.B2.BA$21.A2.2A$22.BAB$
23.A!
None that I know of.

Completely unrelated:
Liquid snowflakes

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x = 11, y = 1, rule = B2-ak3ceiy4c5a/S15a
obo5bobo!
Broken arrow (almost, but not, explosive)

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x = 21, y = 33, rule = B2cei3eiy4ac5a/S12aei3i4z5a
6bo$6bo$20bo$3b2o3b2o9bo$20bo$6bo$6bo8$6b2o$5bo13$b2o2b2o$13bo$8o4bo$
13bo$b2o2b2o!
In broken arrow, Uc should be possible

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x = 37, y = 7, rule = B2cei3eiy4ac5a/S12aei3i4z5a
3bo$3bo$14bo7bo13bo$2o3b2o6bo7bo13bo$14bo7bo13bo$3bo$3bo!

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x = 33, y = 7, rule = B2cei3eiy4ac5a/S12aei3i4z5a
3bo$3bo$17bo12b2o$2o3b2o9bo14b2o$17bo12b2o$3bo$3bo!
I am a prolific creator of many rather pathetic googological functions

My CA rules can be found here

Also, the tree game
Bill Watterson once wrote: "How do soldiers killing each other solve the world's problems?"

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2718281828
Posts: 738
Joined: August 8th, 2017, 5:38 pm

Re: Rules with interesting dynamics

Post by 2718281828 » May 12th, 2019, 4:34 pm

A spacefiller:

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x = 3, y = 3, rule = B3ai4a/S3ai4ae5ai6ac7c8
bo$3o$bo!
Two interactions:

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x = 11, y = 3, rule = B3ai4a/S3ai4ae5ai6ac7c8
bo6bo$3o4b3o$bo6bo!

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x = 10, y = 7, rule = B3ai4a/S3ai4ae5ai6ac7c8
bo$3o$bo2$8bo$7b3o$8bo!
and these ones have interesting behaviour on the diagonals:

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x = 8, y = 8, rule = B3ai4a/S3ai4ae5ai6ac7c8
bo$3o$bo3$6bo$5b3o$6bo!

Code: Select all

x = 9, y = 9, rule = B3ai4a/S3ai4ae5ai6ac7c8
bo$3o$bo4$7bo$6b3o$7bo!

Code: Select all

x = 10, y = 10, rule = B3ai4a/S3ai4ae5ai6ac7c8
bo$3o$bo5$8bo$7b3o$8bo!
Some interactions with blocks, and 'chaos' can be generated that stabilises at around gen 7k:

Code: Select all

x = 94, y = 64, rule = B3ai4a/S3ai4ae5ai6ac7c8
9$47b2o$47b2o3$46b2ob2o$46b2ob2o$36b2o$36b2o$55b2ob2o$22b2o31b2ob2ob2o
$22b2o11b2o3b2o6bo12b2o$35b2o3b2o5b3o$48bo12b2o$61b2o5$47b2o$47b2o2$
46b2o$46b2o2$45b2o$45b2ob2o$48b2o2b2o$44b2o6b2o$44b2o$55b2o$43b2o10b2o
$43b2o2$42b2o$42b2o!

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jimmyChen2013
Posts: 133
Joined: December 11th, 2017, 3:28 am

Re: Rules with interesting dynamics

Post by jimmyChen2013 » May 12th, 2019, 9:33 pm

2718281828 wrote:A spacefiller:

Code: Select all

x = 3, y = 3, rule = B3ai4a/S3ai4ae5ai6ac7c8
bo$3o$bo!
Two interactions:

Code: Select all

x = 11, y = 3, rule = B3ai4a/S3ai4ae5ai6ac7c8
bo6bo$3o4b3o$bo6bo!

Code: Select all

x = 10, y = 7, rule = B3ai4a/S3ai4ae5ai6ac7c8
bo$3o$bo2$8bo$7b3o$8bo!
and these ones have interesting behaviour on the diagonals:

Code: Select all

x = 8, y = 8, rule = B3ai4a/S3ai4ae5ai6ac7c8
bo$3o$bo3$6bo$5b3o$6bo!

Code: Select all

x = 9, y = 9, rule = B3ai4a/S3ai4ae5ai6ac7c8
bo$3o$bo4$7bo$6b3o$7bo!

Code: Select all

x = 10, y = 10, rule = B3ai4a/S3ai4ae5ai6ac7c8
bo$3o$bo5$8bo$7b3o$8bo!
Some interactions with blocks, and 'chaos' can be generated that stabilises at around gen 7k:

Code: Select all

x = 94, y = 64, rule = B3ai4a/S3ai4ae5ai6ac7c8
9$47b2o$47b2o3$46b2ob2o$46b2ob2o$36b2o$36b2o$55b2ob2o$22b2o31b2ob2ob2o
$22b2o11b2o3b2o6bo12b2o$35b2o3b2o5b3o$48bo12b2o$61b2o5$47b2o$47b2o2$
46b2o$46b2o2$45b2o$45b2ob2o$48b2o2b2o$44b2o6b2o$44b2o$55b2o$43b2o10b2o
$43b2o2$42b2o$42b2o!
I found something extremely similar, named the rule industrial-revolution
might be a coincidence:

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x = 10, y = 7, rule = B3ai4a/S23aei4a5ai6ac7c8
10o$10o$10o$10o$7ob2o$8obo$4ob5o!
but

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x = 10, y = 7, rule = B3ai4a/S23aei4a5ai6ac7c8
bo$3o$bo2$8bo$7b3o$8bo!
you win

Edit: a version where the internal chaos never stabilizes

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x = 12, y = 9, rule = B3aik4ai/S3-jkqr4aeikny5aeijr6ac7c8
2obob7o$12o$12o$ob10o$3ob8o$12o$10obo$4ob6o$12o!
also an "inverse" version that basically generates circuitry-like patterns:

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x = 331, y = 315, rule = B1e2-ac3-ai4-a5-aei78/S01234-aw5-ai678:T500,500
11bo8bo5bo9bo2bo3bo11bo8bo13bo3bo3bo53bo4bo3bo6bo6bo2bo13bo19bo3bo35bo
16bobo27bo3bo6bo27b2o$bo18bobo4bo3bo3bo3bobo2bo5bo4bo4bobo6bo7b2o17b2o
4bo3bo2bo3bo7bo3bo14bo2bo4bo16b2o17bobo9bo3bo6b2o7b2o10bo6b2o16bo12bo
29bobo23bo7bo$7bobo5bo9bo8bo3bo42bobo2bob2obo4bo3bo3bo2bo14bo2bo2bo2b
3o9bo12bo7bo14bo17bo10bo11bo2bo15bo21bo10bo5bo17bo10bo10bo5bo3bo$10bo
28bo31bo5b2o10bo8b2o6bo18bo2bo5bo2bo10bo3bobo9b2o9b2o3bo5bo3bo19bo14bo
5b2o7b2o4bo26bob2o24bo13bobo2bo5bo$7bo8bo7bobobo32b2o3bo13b2o28bo8bo7b
o3b3o4bobo19bo29bo8bo2bo3bo3bo11bo8bobo5bo27bo6bo18bobo$10bo22bo16bo3b
o3bo9bo5bo24bo3bo7bo10bo18bo4bo19b2o11bo16b4o4b2o6bo3bo4bo9bo32bo5b3o
5bo16bo2bo2bo23bo2bo$8bo24bo2bo8bobo3bo2bo14b2o8bo11bo18bo10bo14bo14b
2o2bobob2o20bo4bo4bo2bobo3bobo14bo3bo10bobo4bo18bo13bo12bo7bo13bo3bo
13bo$2bo12bo8bobo30bobo21bo12bo28bo8bobo3bo13bo20bobo6b3o13bo16bobo7bo
5bo15b2o10bo2bo15bo8bo6bobo7b2o7bo2bo5bo2bo$99bobo7bo4bobobobo18bo13b
2o6bo4bo32bo16bo3bo20bo10b2o6b2o9bobo4bo20bo3bo9bo11bo4bo$3bo14bo8bo
14bo8bo16bobo16bo21bo3bo2bo2bo7bo5bobobo6bo13b2o8bo4bo3bo12bo3b2o2bo6b
o6bo8bo4bo2bo13bo5bo24bo2bo4bo3bo2bo12bo3bo10bobo$11bo24bo34bo4b2ob2o
11bo4bobobobo7bo9bo16bo3bo4b2o5bo6bo54bo8bo20bo32bo18bo24bo$34bo24bo7b
o25bo14bobo10bo18bobo5bo4bo7bobo4bo4bo8bo4bo7bo4b3o5bo17bo4bo27bo24bo
4bo4bo5bo5b2obo2bo16bo$bobo8bo6bo5bo2bo3bobo61bo7bo25bo2bo5bo2bo3bo16b
o11b2o16bo5bo25bo2b3o8bo11bo18bo10bo20bo13bo5bo4bo$7bo12bobo4bo5bo5bo
3b2o37b2o3bo31bo9bo2bo5bo10b2o7bo20b2o13bo2bo18bo2bobo3bo6bo15bo8bo23b
o11bo7bo12bo4b2o$9bo5bo14bo6bo10bo11bo6bo13bo20bo9bobo6bobo30bo10bo9bo
10bo7bo38bo8bo12bobo30bo21bo14bo$2bo16bo2b2o6bo24bo2bo6bobo5b2o21bo20b
o11bo3bo2bo10bo9bobo36bo36bobo30bo3bo8bo10bo4bo2bo11bo14bo3bo$43bobo
15b2o9bo12bo11bo3bo2bo31b3o8bobo10bo20bo14bo5bob2o2bo15bo7bo4bo4bo20bo
b2o10bo3bo18bo2bo3b2obo11bo3bo$28bo4bobobo6bo10bo5bo8bo4bo3bobo19bo34b
2o10bo4bo9bo3bo2b2o5bo11bo11bobo5bo20bobo12bobo3bo4bo8bo11bo30bo4bo4bo
$7bo11bobo19bo2bo6bo6b2o6bobo3bo6b2o18bo13bo4bo6bo7bo11b2o28bo6bo11bo
16b2o16b2o23bobo9bo27bo19bo13bo$o18bo2bo20bo21bobo10bo2bo6b2o11bo7bobo
16b2o8bo2bo6bo7bo6bo22bo19bobo14bo5bo5bo18bo10bo2bo6bo4bo6bo22bo11bo7b
o$8b2o3bo15bo12bo12bo7bo26bo4bo8bo16bo2bobo12bo2bo14bo19bo4bo17bo3bob
2o22b3o18b2obo12bo13bo10b2o4bo3bo5bo5bo$o24bo13bo15bo2bobo3bo26bo9bo7b
o5bo3bo28bo2bo36bobo18bo2bo28bo5bo7bo13bo9bo5bo9bo13bo6bo2bo$8bo7bo15b
o8bobo6bo14bo4b2o6bo7b4o8b2o2bo2bobo18bo42bobo4bo8bo4bobo6bo2bo3bobobo
9bo6bo3bo15bo4bo4bo30bo14bo3bo9bo$7bo5bobobo11bo10bo7b2o4bo14bo5bo11bo
6bo31b2o27bo8bo30bo42b3o10bo18bo7bo4bo11b2o7bo14bo$15bo2bo7bo9bo16bo
49bo5bo8bobo5bo10bo5bo2bo9bo2bo5bo8bo6bo10bo13bo4bo21bo39bo6bo8bo9bo6b
o5bo15bobo$5bo2bo13bo5bo8bo15bo37bo6bo5bo9bo3b2o4bo4bo7bo12bo4b2o3bo
51bo52bo31bo5bo8bo15bobo$6bob2o3bo2bo4bo10bo3bo14bo3bo27bo26bo24bo5b2o
11bo34bo26bo29bo3bo18bo14bo12bo6bo2bo2bobo15bo$27bo13bo3bo5bo5bobo9bo
9b2o9bo2bo2bo40bo9bobo11bo16bobo2bobobo22bo7bo3b2o3bo8bob2o15bo19bo4bo
9bo9bo27bo$o26bo29bo4bo11bo3bo2bo16bo2bo5bo7bo6bo6bo2bo3bo6bo5bo20bobo
41b2o4b2obobo21b2o13bo4bo4bo27b2o2b2o19bo4bo$3bo7bo17bo2bo7bo4bo45bo9b
2o7bo45bo10bo4bo16bo7bobo3bo35bo3bo3bobo2bo4bo4bo5bo35bo6bo10bo2bo2bo$
o2bo25bo2bo4bobo8bo5bo22bo21bo18bo5bobo9bo4bo4bo17bo6bo14bo29bo7bo4bo
4bo14bo26bo39bo$bo2bob2o12bo10bo12bo16bo8bo3bo3bo3bo7bo4bo40b2o5bo2b2o
3bo2bo2bo9bo6bo19bo4b3o3bo47bo8bo12bo6bo6b2o19b2o6bo3bo3bo$50bo6b2o6bo
bo2bo13b2o39bo2bo6bo24bo3bo42bobobo3bo6bo7bo14bo3bo24bo39bo11bo2bo$16b
o4bo2bo21bo8bo20bo29bo4bobo2bo6bo2bo4bo13bo11bo6bo10bo71bo8bo2bobo2bo
4bo11b2o23bo9bo9bo$o9bo2bobo9bo22bo13bo4b2o5bobo2bo3bo22b2o2bobobo4bo
7bo12bo5bo13bobo3bo19bo6bo13bo2bo10bo6bo17bo4bo19bo7bo2bo8bo4b2o2bo7bo
4bo$2bo6bo11bo15bo11bo3bo6bo4bo10bo20b2o8bo15b2o6bo14b3o8bobobo4bo6bo
18bo3b2o34bo11bobo9bo3bo6bobo15bo17b2o3bo7bo2bo$8bo11bo22bo49bo3bo12bo
2bo8b3o13bo13bo17bo7bo2bo2bo4bo2bo17bo19bo2bo8b2o10bo8b2o2bo4bo2bobo
23bo5b2o2bo4bo$7bo8bo18bo9bobo19b2o3bo33bo6bo34bo7bo6bo42bo9bo21bo21bo
14bo12bo7bo8bobo9bo4bo$10bo2bob2o7bo9bo14bo15bo23bo3bo16bo13bo5bo9bo2b
obo8bobo14bo4bo4bo49bo4bo11bo7bobo2bo3bobo11b2o9bo7bo4bo6bo18bo$12bobo
43bo15b2o5b3o12bo26bo10bo17b2obo15bo15bo19bo23bo20bo19bo4bo15bo7bo5bo
4bobo$6bo15bo2bo4bo9b2o18bo5bo2bo6bo35bo2bo4bo11bo5bo10bo8bo6bo4bobo5b
2o4bo4bo4bobobo9bo10bo6bo2bo2bo35bobo17bo9bobo$23bo21bo5bobo10bo18bo2b
o11bo10bobo3bo17bobo11bo12b2ob3o11bo6bo34bo6bo12b2o16bo5bo15bo2bo12b2o
18bobo7b2o2b2o$o17bo6bo9bo27bo17bo3bo3bo11bo24bo28bobo9bo3bo35bobo4bo
3bo3bo5b2o8bo13bo7b2o7bo23bo4bobo2bo6bo5bo$3bo8bo2bo26bo4bo9bo8bo5bo
12bobo15bo19bo33bo2b2obo16bo5bo20bo8bo8bo9bo10bob2o18bo26bo12bobo18b2o
$o2bo3bo8bo17bo8bo5bo19bo12bo12bo28bo4bo12b3o19bo17bo21bobo29bo23bo2bo
64bo$14bobob2o18bo2bo6bobo8b3o30bo4bo4bo12bo19bo12bo24bo23bo3bo6bo7bo
11bobo14bo5bo9bo7bo9bo4b2o22bo7b2o4bo2bo$o3b2o5bo3bo16bo14bo2bo10bo10b
o18bo7bo7bo9bo4bo3bo13bo7b3o21bo5bo9bo2bo17bo2bo4bo16bo4bo10bo3bo25bob
obo16bo6bo2bo10bo3bo2bo$2bo8b2o8bobo19bo13b2o6bo2bo2bo8bo5bo5bo10bo5bo
17bo9bobobo10bo10bo2bo24bo9bo34bobo12bo30b2obo27bo$14bo6bo34bo3bo11bo
32bo3bo11bo19bo5bobo8bo15bo4bobo14bo18bo12bo21bobo3bo5bobo2bo4bo5bo6bo
27bo$19bobo8b2o2bo12bo8bo10bo3bo17bo14b2o6bobo14bo9bo3bo32bo3bo15bobo
9bo5bo3bo2bo7bo4bo33bo9bo14bobo28bo2bo$7bo8bobo2bo11bo6bo10bobo12bo5bo
12bo2bo4bo3bobo10bo30bo27bo16bo7bo17bo2bo20bo2bo14b2o5bo6bo5bo8bo9bo
13bo3bo12bo$14bobo5b2o6bo23bo37bo4bo11bo14bobo12bobo2bo3bo3bo2bo39bo8b
o2bo9b2o12bo3bo7bo9bobo3bo8bo3bo5bo3bo3bo3bo5bo2bo$13bo11bobo11bo47bo
8bo5bo4bo19bo14bo14bo5bo9bo2bo4b2obo11bo15bobo5bo10bo8bo11bo2bo12b2o6b
o4bo8b2o3bo5bobo14bo3b2o$25bo9bo6bo10bo3bo8bo7bo2bo2bo8bo8b2o6bo23bo2b
o15bo7bo11bo3bo19bo2bo9bobo8bo11bo6bo9bobo2bo5bo10bo3bo5bo9bo13b2o17bo
$13b2o14bo6bo2bo25bo2bo10bo11bo7bo30bo14bo8bo8bo11b2o4bobo2bo4bo6bo21b
o26bo8bo8bo15bo13b2o7bo$5bo8bo7bo15bo19bo8bobo23bo2b3o37bo2bo6bo4b2o
15bo6bo11bo2bo6bobo4bo19bo5bo7bo9bo11bo25bo2bobo26bo3bo$3bo12bo18bo7bo
bo4b2o11bo2bo2bo6bo9bo2bo8bo2bo2bo5bo10bo18bo8bo24bo3bo2bo10bo3bo9bo8b
o12bo3bo2bo3bo11bo3bo15bo7b2o14bo29bo2bo$bo18bo3bo5bo3bo3bo35bo3bo5bo
7bo15bo26bo11bo7bo23bo11bo8b2o32bo3bo4bo4bo3bobo28b2obo5bo20bo2bo5bo$
2bobo18bobo10bo10bo5bo7b2o8bo13bo21bo5bo4bo2bo34b2o3bobo12bo7b2o2bo4bo
15b2o9bo14bo4bobo2bo9b2o21bo17bobo2bobo20b2o4bo$9bo2bo4bo6bo11bo4bob3o
6b2o3bo18bo5bo7bo2bo4bo18bo15bo4bo8bo2bo3bobo3bob2obo32bo27bobo11bo2bo
16bobo27bo12bobo4bo2bo16bo$2bo7bo16bo14b2o4bo4bo7bo4bo6bo3bo4bo10bo11b
obo14bo18bobo3bo11bo18bo13b2o5bo8bo2bo3bo14bo28bo16bo10b3o12bo$8bo20b
2o14bo11bo9bo6bob2o23bo6bo20bobo3bobo10bo4bo5bo6b2o11bo8bo4bo11bo25bo
12bo8b2o9bo3bo18bo8bo5bo22bo$obo2bo3bo5bo3bo35bo4bo2bo7b2o29bo8bo13bo
10bo4bobobo3bo9bo6b3o2bo21b2obo2bobo7bo5bo4bo3bo12bo2bo7bo8bo36bo15bo
2b2o9bo$9bo6bo12bo8bo13bo17bo10bo3bo5b3obo4bo3bo17bo7bo10bo27bo3bo11bo
4bo6bo9b2obo5bo8bo26bo11bo20bobo35bo$bo5bo14bo5bo15bo16bobo17bo3bo20bo
21bo4bo4bobo6bo3bo5bo7bo26bo13bo10b2o9bo10bo17bo5bobo21bo16bo2b2o4bo2b
o5b2o$o28bo19bo5bo8bo9bo11bo5bo17bo8bo15bobo10bo11bob2o13bobo11bo11bo
20bo6bo2b2o6bo14bo10bo22bo17bo5bo8bo$10bo7bo8bo6bo8bo6bo4bo6bo37bob2o
4bo8b2o17bo9bo10bobobo11bo2bo5bo3bo4bo2bo3bo19bo22bo17bob2o11bo21bo8b
2o20b2o$4bo42bobo6bo7bo3bo12bobo3b2o3bo3b2o11bo11bo5bo8bo16bo4bo2bo4bo
bo9bo16bo3bo6bo4bo24bo2bo14bo5bo14bo14b2o6bo22bo$2bo6bo10b2o15bo10bo8b
o7bo23bo14bo2bo17bo25bo23bo5bo2bo2bo3bo31bobo2bo26bobo20bo12bo14bo5bo$
30bo15b3o19bo16bo21bo5bo20bo2bo2bo5bo9bo11bo9bobo25bo15bo31bo6bo43bo3b
o11b2o$19bo10bo11bo3bo7bo13bo3bo3bo12bo11bo5bo13bo3bobo4bo14bo23bo6bo
7bo8bo2bo23bo3bo3bo12bo9bo27bo5bo2bo2bo4bo22bo3bo3bo$bo7b2o9bo2bo11b2o
12bo3bo2bo8bo13bo22bo44bo2bob2o17bobo8bo36bo5bobo5bo17bo2bo12bobo2bo8b
o8bo15b2o2bo4bo$23bo2b2o2bo25bobo9bo10bo5bo2bo4bo23bobo6bo2bo2bo14bo
16bo2bo18bo5bo50bo3bo27bo3bo7bo6b4o7bo22bo$o2bo2bo12bo19bo7bo11bo17bo
3bo15bo4bo7bo4b2o7b2o18bo19bo2bo19bo21bobo2bo23b2o3bo8bobo9bo2bo30bo9b
ob2o4bo$5bo16bo9bo12bo3bo18bobo2bo13bo6b2o3bobo6bo27bobo16bo25bo17bo8b
o11bo3bo19bo14bo20bob2o32bo4bo5bo$15bo9bo21bobo21bo7b2o10bo8b2o24bo2bo
21bo16bo3bob2obo3bo4bo2bo5bo8bobo2bo2bo3bo19bo9bo3bo12bobo5bo3bobo5bo
13bo2bo9bo$39bo7bo31bo5bo27bo6bobo10bo2bo13bo16bo4bo6bo9bobo2bobo9bo6b
o9bo15b2o6bo9bo26bo33bo8bo$3bobo10bobo13bo15bo24bo16bo2bo5bo17bobo29bo
11bo9bobo4bo6bo3bo14bobo17bo11bobo31b2o2bo3bo3bo11b2o10bo9bo4b2o$3bo
19bo19bo6bo18b2o14bo9bo16bo8bo19bo21bo12bo5bo5bo28bo30bo12bo3bobo6bo9b
o20bob2obo16bo$bo6bo11bo4b2o2bo9b2o10bo7bo31bo50bobo9bo6bo3bo21bo37bo
15bo11bo4bo8bo8bo32bo15bo$22b2o4bo21b2obobo2bobo6bobo3bo5bo11bo3b2o8bo
bo9bobo3b2o3bo8bo14bo18bob2o14bo8bo15bobo11bo6bo9bo12bo6b2o7bo10bobobo
bobo16bo12bo4b2o$2bobo4bo5bo4bo7bo8bo9bo5bo3bo14bo20bobo5bo4bo7bo7b2o
12bo3bo9bo13bo8bo9bo2bo8bo24bo4bo16bobo8bo9bo13bo9bo4bo16bo4bo2bo$11bo
8b2obo13bo13bo9bo5b2o8bo12bo12bo2bo11bo7bo2bo10bo24bo19bo14bo5bo8bo3bo
8bo9bo9bo7bo21bo10bo3bo13bo2bo5bo$3bo24b2o5b2o4bo5bo2bo7b2o5bo10bo42bo
5bo9bo27bo18bo36bo18bo18bo7bo22b2o17bo2bo$9bo22bo5bo6bo24bo14bo2bo20bo
6bo10bo3bo15bo7bobo3bo16bo6bo2bo26bo2bo8b4o2bobo15bobo4bo3bo18bo4bo10b
o3bo11bo$38bo5bo17bo17bo2b2o6bo7bo21bo5bo11bo2bo9b2o7bo2b2o5bo2bo28bo
5bo10b2o3bo4bo5bo3bo15bo2bo14bo8bo9bo6bo5bo5bo14bo$7bo3bo3bo21bo5bo17b
o10bo9bo20bo15b2obo17bo3bo3b2obo11bo15bo8bo9bo31bo3bo3b2o10bo23bo14bo
19bo5bo13bo$15b2o3bo11bo3bo2bo17bo9bo26bo40b2o14bobo2bo5bo5bo2bo29bo2b
o2bo3bo5bobo24bo2bo8bobo14bo5bo4bo11bobo10bo$10bo21bo25bo3bo5b2o11bo6b
o7bo7bo2bo23bo3bo35bo7bo9b2o26bo13bo3bobo3bo3bo9bo9bo8b2o5bo25bo6bo2bo
3bo$7b2o22bo9bo2bobo25bo15bo23bo8bo19bo4bo2bo5bo8bo15bo3bo9bo13bobo14b
o29bo7bo10bo30bo9bo3b2o$5bo21bo23bo56bo21bo7b3obo7bo9bo17bo10bobo11bo
18bo2bo18bo10bo2bo6bobo4bo21bo4b2o7bo15b2o$6bo25b2o19bo5bo3bo4b2o5b2o
10bobo6bo15bo4bo3bo13bo7bo2bo30bo41bo6bo5bo21bo4bo11b2o7b2o3bo16bo4bo
4bo7bo2bo3bo$10bo16bo10bo34bo4bo10bo25bo46b2o5bo3bo7bo11bo4bobo6bo6bo
3bo4bo13bo2bo10bo4b3o5bo13bo8bobo3bo$4bo8bo9bo4b2o4bo6bo10bo2bobo42bo
3bo35bo5bo12bo7bo11b2o3bo4bobo12bo5bobo3bo3bo6bo14bo2bo32bo6bo5bo6bobo
11bo7bo$11bo3bo19bobo18bo9bo9bo5bo11bo10bo15bo19bobo16bo53bo4bo21bo26b
o7bo12bo20b2o14bobo$4bo7bo9bo15bo2bo13bo3bo13bo11bobo9bobobo11bo5bob2o
6b2o5b4o4bobo2bo15b2o10bo3bo12bo22bo15bo3bo7bo15bo44bo9bo$15bo17bo6bo
4bo10bo24b2o5bobobo4bo3bo10bo15bo13bo20bo3bo3bobo2bo15bo5bo5b2o5bo14bo
28bo8bo19bobo4bo4bobobo21bo$3bo3bo11bo8bo22bo34bo21bo4bobo14bo2bo2bo2b
2o2bo7bo14b2o4bo55bo2bo2bo4bobo8bo37bo11bo15bobo$20bo2b3obo4bo9bo7bobo
2bo3bo32bo15bo13bo4bo13bo6bo12bobo14bo14bo2bo6bo8bob2o2bobo60bob2o6bo
35bo$2bo18bo42bo3bo7bobobo29bobo38bo7bo14bo7bo7bo13bo34bo2bo22bo2bo10b
2o4bo3bo7bo6bo13bo$6bo3bo12bo6b2o18bo2bo5bo7b2o4bo7bo4bob2o7bo16bo10bo
2bo8bo2bo5b2o3bo24bo13bo5bo23bo7bo3bo2bo11bo11bo16bo16bo2bo12bo2bo13bo
$o17bo2bo3bo16bo35bo12bobo4bo17bobo24bo2bo3bo16bo13bo12bobo5bo5b2o5bo
2bo31bo4bo5bo2b2o4bo6bo4bo30bo7bo3b3o$8bo9b2o3bo16bo2bobo5bo8bo31b2o6b
o23bo10bo7bo24bo15bo3bo3bo4bo4bo13bo2bo2b2o12bo8bo3bo3bo11bo4bo3bo9bo
9bo6b2o17bobobo$3bo32bo31bo16bo5bo5bobo12b3o11b3o8bo9bo5bo11bo4bo42bo
10bo7bo3bo4bo15bo3bo5bo2bo2bo5bo4bo17bobobo17bo$26bo10bo10bo2bo37bo9bo
3bobo7bo15bo7bo13bo9bo3bo5b2o7b2o4bo22bo8bo10bo30bo10b2o8bo5bo2bobo7bo
2bo3bo$bo31bo22bo8bo21bo33b2o14bo3bo5bo25bo9bo13bo2bo7bo13bo7bo11bo2bo
6bo16bo5bo10b2o2b2o34bo3bo$25bo11bo12bo3bo3bo8bobo2bo4bo31bo39bo2bo7bo
42bo3bo2bo6bo27bo15bo13bo13bo6bo7b2o20bo$8bo16bo13bobo14bo6bo6b2o21bob
o8b2o18bo8bo10b2o5bo5bo19bo2bo16b2o2bo23bo7bo8b2o18bo17bo24bobo10bo$
14bo30bo17bo17bo10bo17bo15bo9bo5bo4bo14b2o2bo13b2o3bo18bo11bo2bo6bobo
2bo9bo23bo3b2o8bo4bo7bo21bo12bo$13bo6bo3bob2obo33bo2bo11bo7b2o7bo10bo
25bo3bo2b2o20bo4bo3bo6bo13bo11bo14bo4bo15bo3bo29bo2bo3b2o9bo2bo8bo6b2o
7bo5bo$6bo29bo14bo4bo11bo15bobo7bo12bo10bo6bo8bo4b2o4bo7bo3bo43bo12b2o
b2o3bo24bo4bo13bo3bo36bobo$2bo9b2o12b2o2bobo13bobo11bobo6bo4bo6bo4bobo
5bo6bobo8bo34bo13bo5bo4bo10bo3bo4bobo5bo5bo5bo2b2o35bobo8bo15bo6bo13bo
2bo12bo13bo$12bo10bo14bo8bo6bo17b2o5bobo20b2o14b2o4b2o14bo9bo29bo10b2o
20bo2b2o34bo22bo6bo5bo11bo29bo$9bo36bo26b2o3bo21bo5bo14bo26bo2bo8bo37b
o13b4o2bo2bo3bo5bo25bo16bo11bo18bo4bobo4bo3bobo4bo$2bo6bo4bo3bo2bo5bo
15bo5bo4bo7bo2b2o16bo6bo21bo5bo27bo6bo3bo22bo5bo5b2o8bo18bo8b2o5b2o17b
obo8bo3bo5bo3bo43bo$o4b2o11bo11bo8bo4bo4bo8bo3bo6bo11bobobo21bo5bo5bo
8bobo2bo7bo20b2o2bo20bo2bobo29bo24bo17bo8bo7bo4bobo16bo7bo6bo2bo$o3bo
6bo16bo24b2o8bo18bo5bo17bo18bo22bo3bo8bo7bo11bobo21bo7bo8bobo12bo9bo
11b2o7bo12bo6bo3bo34bo$o4b3o15bo11bo7bo10bo2bobobo5bo14b2o18bo31b2o5bo
bo6b3o8bo3bo4bo15bo5bo3bo16bo5bobo24bo23bo34bo21bo$2bo17bo6bo4bob2o4bo
2bo3bo2bo3bo7bo7bo2bo18bo12bo26b2o8bo6bo7bo16bo5bo41bo16bo33bo27bo10bo
2bo7bo$o3bo12bo11bo13bo8bobo9b2o8bo36bo22bo5bo7bo2bo5bo2bo4bo4bo2bo22b
o5bo35bo8bo3bobo7bo23bo14bo6bobo$obo6bo2bo2bo7bo15bo4bobobo14bo5bo5bo
14bo3bo4bo8bo7bo15bo3bo7bo11bo9bo7bo18bo4bo10bo7bo12b2o8bo13bo16bo2bo
6bo3bo24bo6bo5bo$obo11bo20bo3bo10bo3bo3bo11b2o5bo2bo6b2o30bo7bo6bo19bo
10bo17bo8bo3bo10b3o11bo6b2o28b2o6bo18bo28bo14bo$4bo19bo4bo7bo9bo13bo9b
2o19bo17bo8bo11bo8bo9bo10bo6bobo70b2o8bo3b2o2bo23bo6bo5bo7bo6bo4bo5bo
2bo$14bobo5bobo4bob2o29bo3bo7bo2bo6bo4bo14bobo10b2obo25bo15bo2bo5bo4bo
5b2o13b2o7bo3bobo9bo11bo13bo9bo4bo13bo7bo5bo6bo24bo5bo$7bo8bo3bobo19bo
22b2o3bo4bo35b2o5bo5bo7bo15bo5bo13bo5bo26bo2bo3bo10bo2bobo10bo15b2o8bo
10bo22bo2bo16bo8bo$bo14bo20bo9b2obo20bo3bo12bo7bobo19bo7bo4bo3bo10bo
17bo33bo22bo6b2o7bo11bo10b2o16bo3bo6bo3bo18bo5bobo9bo$7bo16bo3bo13bo7b
2o3bo3bo2bo5bo11bo10b2o6bo7bo13bo23bobo7bo4bo5bobobo21bobo5b2ob3o23bo
4bobo54bo4bo9bo9bo4bo5bo$3bo26b2o7bo6bo12bo58bo2bo15bo16bo16bobo2bo4bo
6bo9bo16bo19bo8bo28bo2bo12b2o4bo14bo6bo4bo3bo$bo4bo4bo2bo6bo6bo10bo4bo
2bo2bobo5bo14bo2bo9bob2o3bo37bo27bo2bo3bo4bo5bo5bobo6bo5bo19bo11bo2bo
7bo4bo4bo10bo16bo7bo3bobobo9bo5bo5bo3bo3bo4bo$10bo5bo11bo10bo13bo10bo
2bo5bo3bo20bo10bo11bo18bo10bo2bo12bo3bobo3bo5bo4b3o3bobob2o3bo6bo3bo5b
o10bo7bo27bo22bo7bo8bo6bo$3bo11bo7bo17b2o4bo11bo10bo11bo4bo3bo7b2o16bo
16bo2bo6bo3bo5bo32bo8bo4bo17bo3bo15bobo12bo3bo2bo3bo4bo5bo16bo13bo9bo
11bo$7bo9bo8b2o3bo2b2o6bo9bo8bo6bo8bo9bo12bo25bo11bo5bo15bobo3bo19bo5b
o3bo40bo2bo2bo5bo2bo13bo28bo12bo2bo7bo6b2o$3bo4bobo15bo14bo3b2obo18bo
15bo6bo8bo7bo4bo22bo5bo6bo7bo8bo9bo4bo4bo4bo2bo11bo49bo39bo25bo$15bo
11bo4bo39bobo10bo10bo7bo3bo7bo35bo11bobo4bo30b2o13b2o9bo2b2o6bo2bo16bo
7bo2bobo6bo14bo12bo12bo7bo$17bo5b2o14bo27bo8bo10bo2bo20bo11bobo9bo6bo
51bo2bo44bo6bo17bo10bo6bo10bo11bo5bo10bo$27bo17b2o22bo19b2o2bo7bo7bo5b
o9bo16bobobo8bo8bo5bo10bo2bo3bo2bo9bo49b2ob2o4bob2o9bo3bo11bo15bo12bo$
11bo27bo2bobo18bo10bo15bo4bo14bo2bo13bo2bo16b2o6bo33bo28bo6bobo13bo5bo
17bo18bobo5bo7bo3bo6bobo$20bobo11b2o10bo16bo3bo11bo4bo7bo18bo12bo5bo2b
o6b2o10bo4bo10bo5bo21bo32b2o8bo7b2o3b2o9bo14bo15bo4bo10bo7bo8bo$10bob
2o3bo4bo4bo13bobo18bo6bo2bo18bo5bo3bo6bo18bo2bo11bo12bobo6bo34bo9bo37b
o2b2obo28b2o4bo24bo14bo$36bo5bo18bo3bo12b2o16b3o9bob2o18bobo3bo29bo2bo
11bobo2b2o7bo9bo11bo17bo4bo2b2o2bo4bobo4bo6bo11bobo10bo2bo12bo2b2o$15b
obo6bo7bo20bo5bo13bobobo6bo7bo3bo2bo28bo2bo13bo2bo4bo6bo9bo5bo15bo3bo
6bo15b2o41bo11bo6bo11bo7bo2bo20bo$9bo13bo15bo4b2o22b2o16bo9bo5bobo2bo
17bob2o21bo6bo3bo20bobo2bobo8bobo5bo14b2o9bo13bo23bobo23bo17bo9bo$obo
2bo4bo4bo4bo3bo2bo6bo7bo7bo4bo12bo8bo11bo6bobo5bobo27bo14bo18bo13b2o8b
2o11bo7bo6bo4bobo2bobo9bo9bo6bo5bobo4bo13b2o3bo10bo5bo18bo$36bo19bo20b
o2bo4bo13bo13bo65bo46bobo21bo3bo28bo3bo2bo3bo2bo4bo6bob2o5bo$21bo7bo
12bo18bo20bobo19bo6bo4bo4b2o32bo24bo5bo2bo3b2o15bo28bo23b2o17bo13bo15b
o8bo5bo2bo$bo6bobobo8b3o5b2o9bo11bo2bo14bo45bo2bo14bo3bo5bo4b3o21bo3bo
18bo12bo24bo5bo14bo3bo13bo33bo8bo7bo$8bo17bo2bo9bo3bo25bo6bo7bo3bo3bo
4b2o9bo6bo53bo2bo13bo17b2o2bo5bo9bo8bo10bo4bo2bo12bo25bo2bo22b2obo$o4b
o6bobo6bo7bo2bo5bo5bobo5bo12bo4bo6bo3bo20bo9bo33bo12b4obo12bo5bo3bo26b
o24bo8b2o3bo16bobo12bo2bo29bo$7bo17bo13bo14bo17bo7bo7b2o26bo2bo7bo11bo
25bobo6bo7bo22bo9bo17bo15bo14bo22b2o16bo2bo4bo5bo$2bo10bobobo2bo8bo21b
o18bobo24bo20bo23bo4bo6b2o4bo2bobo8bo9bob2obo3bo3bo9bo8bo24bo2bo25bo
13bo10bo2b2o6b2obo5bo4b2o6bo$22bo8bo10bobo4bo2bo2bo2bo5bo19bo23bo7bo6b
obo20bo6bo8bo10bo19bo16bo15bo5b2o5bo5bo2bo5bobo4bo6bo3bobo3bo3bo11bo3b
o8bo2bo2bo6bo8bo$10bobo25bo15bobo8bo5bo24b2o19bo10b2o5bo14bobobo9bo3bo
12bo5bo16bo17bo10b2o10bo2bo8bo5bo2bo8bo7bo15bo19bo$4bo15bo8bo30bo5bo
17b2o7bo17b2o18bo10bo15bo3bo6bo12bo26bo3bo6bo14bo9bo16bo25bo10bo9bo7bo
$12bo17bo43bo9bo17bobo5bo4bo2bo16bo35bo5bo3bo34bobo13bo6bo2bo4bo4bo4b
2o43bo2bo8bo$3bo44bo4bob2o5bo4b2o2bobobo7bo21bo3bob2obo16bobobo7bo2bob
o11bo5bo5bo3bo18bo24bo2bo3bo21bo16b2o11b2o4bo11b2o6bo13bo10bo$4bo7bo
12bo6bo5bo37bobo8bo23b2o3b2o2bo25bo2bobo45bo6bo8bo6bo12bo5bo17bo5bo3bo
4b2o18bo3b2o6bo20bo$bo17bo6bo3bobo12bo3b3o5bobo19bo2bo5bo9b3o3bo9bo4bo
24bo9bo6bo4b2o22bo11bo30bo9bo2bo26bo28bo16bo$4bo12bo6bo7bo15bo3bobo11b
o11b3o16bo2bo15bo7bo9bo7bo5bo11bo16bo9bo13bo2bo16bo6bo6bo14bo12bo6bo8b
obo3bo17bo17bo8bo$2bo43bo21bo3bo16bo3bo9bobo4bo11bo7bo8bo5bo3bobobo10b
obo17bo3bobo10b2o21bo2bo3bo14bo12bo11bo15bo2bo15bo11b2o6bo$9bobobo11bo
5bo5bo2bo4bo31bob3o13b2o11bo7bo16bo16bo11bo2bo18bo2bo7b2o3bo13bo6bo9bo
4bobo5bobo4bo6bo5bobo13bo3bo7bo10bo4b2o7bo3bo$6bo5bo9bo10bo12b2o12bo
17bo9bo17bo24bo11b2o20bo46bo10bo2bo5bo25bo12bo29bo11bo$13bo7bo4b2o8bob
o2bo4bo2bo18bo4bo11bo3bobo9bo11bo3bo2bo5bo2bo18bo8bo7bobo5bo23bo4bo24b
o4bo7bo21bo25bo5b3o13bo4bobo2bo$26bo13bo24bo7bo2bo5bo3b2o2bo32b2o3b2o
13bo11bobo3bo10bo14bo4bo11bo4bo16bo44bo21bo16b2o9bo2bo$3bo14bo8bo4bo
12bo7bo12bo3bo7bo7b2o14bo46bo2bo10bo9bo3bo11bo6bo4bo17bo16bo5bo12bo10b
o9bo7bo18bo3bo15bo2bo$o4bo10bo9b3o4bo5b2o23bo4b2o6bo4bo11bo4bo12bo24bo
12bo34bo7bo3bo30bo3bo19bo15bo5bo2bo15bo4bo15bo8bo$11bo10bo10bo5bo2bo2b
obo2bo5bo14bo3bo22bo23bobobo6bo26bo13bo16bo2bo2bo7bo12bo6bo4bo7bo4bobo
bo38bo4b2o8bo7bo5bo11bo2bo$7bo2bo9bo5bo7bo14b2o6b2o4bo4bo8bo4bo6bo5bo
7bo12bo10bo2bo8b2o8bobo5bo11bo7bo26bo29bo18bo17bo14bo3bo3bo3b2o2bo11bo
$2bo5bobo3bo12bo7bo20bo13bobo7bo12bo3bo16bo22bo2bo5bo8bo8bo2bo4bo7bo
13bo2bo8bo9bo13bo20bo11bo19bo14bo3b2o15bo$bo3bo9bo9bo6bo10bo4bo3bo21bo
7bo14bo32bo11bo11bo5bo9bo3bobo7bo16bo14bo15bo2bo11bo8bo3bo10bo12bobo4b
2o2bo9b2o14bo$bo2bo4bo10bo3bo17bo10bo2bo16bo8bo12b2o15b2o5bo12bo34bobo
9bo6bo6bo21bo28bo40bobo5bobo5bo$5bo8bo14bo7b2obo2bo32bob2o32bo4bo5bo
10bo4b2o2bo26bo4bo7bo6bo14bo12bo11bob2o24bo2bo7bobobo7bo2bo3bo2bo9bobo
20bo$2bobo8bo7bo12bo32bobo9bo7bo4bo28bo29bo26bo3bo3bo7bo5bo8bo33b2o23b
o3bo9bo4bo5bo4bo17bo5bo$o3bo6bo4bo4bo2bo11b2ob2o4bobo5bobobo7bo7b2obo
3bo3b2o23bo2bo3bobobo2bo4bobobo5bob2o2bo7bob2obo29bo6bo19bo9bo16bo2bo
11bo11bo3bo7b4obo38bo$18bo3bo6bo23bo18bo26b2o12bo13bo12bo9bob3o22bo3bo
bo3bo2bo5bo17bo6bo7bo12bo23bo12bobo11bo5b2o15bo3bo6bo$16bo2bo5bo8bo2bo
bo29bo9bo3b2o19bo18bo19bo18bo7bobo6bo9bo5bo5b2o20b2o28bo12bo8bo13bo2bo
bobo16bo2bobo10bo$5bo4bo4bobobob2obo2b2o9bo7bo46bo5bo6bo22bo11bo10bo2b
o4bo8bo20bobo16bo43bo2bo15bo6bo37bo8bo2bo$5b2o3bo6bo17bobo6bo4bo2bo9bo
2bo18bo2bo3bo2bo22bobo14bo9bobo16bo4b2obo17bo17bo8bo34bo5bo5b2o12bo27b
o8bo$16bo6b2o16bobo3bo9bo19bo39bo9bo11bo29bo5bo3bo40bo3bo6bo21bo14bo6b
o24bo6bo7bo6bo$8bo12b3obo31bo8bo2bo6bo2bo17bobo3bo10bo30bo7bo26bo15bob
o33bo31bo15bo35bo5bo$o4bo4bo10b3o4bo7bo37bobo13bobo4bo16bo17bo4bobo22b
o4bo3bo2bo15bo10b2o3bo27bo13bo5bobo4bo3bo3bo23bo6bo$2bo6bo12bobo10bob
2o12b2o4bo6bo13bo21bo2bo2bo15bo5bo9b2o37bo20b2o14bo11bo10bo6bo18bo3bo
7b2o31bo6bobo2b2o8bo$o17bo3bo3bo6bo4bo3bo5bo2bo4bo3bo5b2o2bo19bo3b2ob
2o7bo12bo29bo28bo5bo35bo3bobo2bo5bo23bo6bo15bo9bo7bo11bo9bo$4bo17bo6bo
2bo5bo8bo24bo5bobobo13bo5bo3bo3bo16b2o13bo26bo15bo12bo8bo5bo19bo7bo3bo
8bo2bo29bo2bo22bo$10bo6bo7bo4bo3bo7bo6bo8bo2bobo10bo3bo15bo7bobobo5bo
25bo22bo6bo8bobo39bo15bo5bo45bo5bo8bo7bobo6bo$21bo7bo9bo6bo14bo20b2o
10bo5bo23bo5bo2bo9bo4bo8bo6bo9b2o28bo2bo4bo27bo11bo6bo9bo15bo7bo3bo4bo
5bo$8bo17bo12bo44bo3bo3bo2bo27bo12bo45bo17bo3bo11bo6bo11bo14bo16bo3b2o
12bobobo6bo9bo8bo3bo$3b2o25bo5bo8bo4bo4bo8bo11bobo34bo2bo2bobo7bo5bo8b
obo5bo4bo4bo5bo16bo3bo2bobo27bo6bo3bo23bo4bo9bo7b2o9bo6b2o14bo$3b2o11b
o14bob2o50bo10bob2o5bo6bo11bo11bo5bo8bo2bobo4bo2bo3bo23bo3bo7bo33bo8bo
9b2o4bo12bo11bo12bo24bo$o9bo23bo3bo4bo2bo6bo4bo4bo4bobo2bo15bo10bobo7b
o22bo15bo3bo8b3o10bo6bo17bo26bobo5bo5bo9bo2bo17bo11b2o14bo3bo$17bo20bo
32bo13bo16bo6bobo3bo7bobo3b3o13bo3bo4bo5bo3bo30bo4bo3bo5bob2o10bo6b2o
17bo6bo45b2o2bo6bo15bo$4bo21bo5bo3bo19bo4bo2bo5bo3bobobo2bo10bo31bo3bo
7bob3o2bo10bo5bo5b2o8bo3bo4bo20bo2bo32bo7b2o18bobo23bo2bo2bo10bo9bo$bo
6bo7bo25b2o4bo4bo7bo3bo7bo10bo13bo17bo18bo4bo2bobobo4bo4bo4bo30bo42bo
2bo8bo20bo22bo11b2o6bo4bo$27bo4bo3bo14bo5bo9bo31bobo8bo3bo2bo31bo10bo
11bo10bobo33b2o5bo17bo18bo2bo22bo31bo$2bo12bo10bo2b2o9b2o18bo24bo9bo3b
o15bo6bo5bo10bo17bo10bo5bo36bo2bob2o7bo8bo4bo26bo10bo7bo28bo5bo5bo$25b
ob2o21bo3bo27bobo5bo4bo9bo21bo25bo12bo3bo10b2o10bo7bo24b2o17b2o5bo45bo
bo11b2o$14bo12bo40bo2bo16bobo10bo4bo4bo8bo10bo12bo14bo9b2o6bo10bo3bo4b
obo5bo12bo7bobo27bo8bo4bo41bo3bo2bo$24b2o2bo7b2o3b2obo28bo4bob2o6bobo
4bo15bobo9bo2bo27bo10bo7bo27bo2bo17bo10bo15bo5bo11bo14bo2bo18bo7bo5bo$
bo4bo7b3o17bo4bo12bo2bo4bo37bo23bobo6bo28b2o4bo2bo6bo18bo32bo4bo24bo2b
2o12bo5bo8bo9bobo16bo2bo3bo$bo2b2o9bo9bo5bo2bo18bobo6b2o11b2o13bob3o6b
o34b2o31bo6b2o2bo3bo7b2o4bo5bo11bo12bo9bobo4bo14bo5bo9b2obo3bobo10bo
12bo3bo7bo$9bo17bo7bo21bo3bo5bo22bobo2bo10bo10bo2bo2bo21bo8bo2bo5bo3b
2o3bo3bo4bo8bo12bo2bo24bo11bo7bo4bobo24bo9bo26bo6bobo$o34bo2bobo19bo
21bo3bo4bo31b2o4bo4bo8bobo23bo20bo15bo2bo14bo3bo10bo4bo14bo4bo5bo3bo6b
o16bo$22bo12bo2bo18bo7bo3b2o18bobo17bo7bo2bob3o3bo18bo3bo3bo62bo12bo6b
o11bo9bo4bo14bo4bo2bo7bo4bo5bo9bo5bo4bo$o12b2o3bo7bo8bo2bo7bo15bobo6bo
bo6bo7b2o10bo22bo15bo10bo26bo13bo5bo5bobo6bo14bobo22bo30bo9bo27b2o$obo
13bo2bo52b2obo19bo13bo46bo8bo16bobo30b2o7bo11b3o3bo3b2o3bo17bo13bo4bo
7bobo8bo3bo13bob2o$b2obo13bo12bo44bo11b2o3b2o14bo18bo5bo5bo23bo19bo5bo
48bo6bo5bo25bo10bo3bo16bo3bo6bo$6bo16bobo2bo21bo6bob2o3bo3bo9bobo2bo
10bo11bo5bo3bo12bo8bo10bo7bobo3bo4bobo8bo2bo3bo7bo4bo7bo5bo6bo2bo29bo
14bobo12bo9bo5bo14bo6bo$8bo2bobo18bo17bo10bo30b2o36bo7bo16bo4bo5bo2bo
8bo6bo2bo9bo7bobobobo2bo4bobo16bo24bo11bo9bo9bo15bo6bo5bo$o3bo14b3o30b
o2bo16bo4bo10bobo9bo9bo20bobo2bo2bo2bo6bo5bo22bobo23bo2bo4bo6bo13bobo
13bo17bo5b2o6bo4bobo9bobob2o$10bo25bo13bo17bo9bo3bo5bo3bo6bo2bo2bo28bo
bo12bobo31bobo4bo3bo17bo5bo4bo3bo24bo12bo12bo11bo3bo7bo17bo7bo$16b2o7b
o5bo10bo2bo25bo4bo16bo10bo6bo3bo5bo3bobo15bo8bo2bo2b2o9bo11bo2bo8bo11b
o17bo10bo5b2o4bo9bo15b2o3bo4bo2bo3bo23bo5bo$17bo8bo2bobobo11bo3bobo2b
2o13bo17bo4bo3bo12bo6bo15bo17bo3bo19b2o20bo17bo4bo7bo5bo12bo13bo11bo
13bo29bo4bo$3bo4bo6bo17b2o20b2o2b2ob2obo7bo5bo5bo15bo9b2o36bo2bo8bo13b
o3bo12bo6bo17bo14bo5bobo24bo2bo4bo15bo4bo$3bo11bo4bo21b4o30bo9bo3bo35b
o2bo9bo3bo12bo4bo32bo31bo11bobo8bo5bob2o6bo21bobo11bo$11bo11bo7bo9bo9b
o7bo17bo22bo4bo21bo3bo21bobo3bobo11bo9bo36bo8bo3bo18bo11bobo6bo8bo36bo
$o8b2o39bo9b3o11bobo11bo29bo2bo5bo6bo4bo25bo13bo3bo12bobo17bo2bo2bo3bo
4bo32bob2o24b2o2b2o9bobo8b2ob3o$20bo8b2o15bo10bo15b2obo6bo20bo30bo5bob
o17bobo2bo2bo2bo8bobobo2bo8b2o11bo4bo60bo30bo5bo7bo8bo$2bobo2bo6bobo
13bo20bo4bo3bo10bo25bo7bo25bo21bo5b2o7b2obo4bo13bo37bo6bo3bo6bo3bo3b2o
bo7bo14bo3bo27b2o4bobo4bo$25bo5bobo12b2o3bo8bo2bo16bo8bo3bo10bo6bobo
18bo15bo6bo6bo6b2o5bo16bo19b2o16bo24bo10bo16bo12bo7bo15bobo$4bobo22bo
5bo50b2o4bo9bo15bo11b2obo2bo4bo2bo18bo4bo13bo22bo5bo5bo7bo12bo11b2o28b
o9b2o30bo$10bo5bobo2bo10bo7bo4bo9bo66bo64bo12bo5bo8bo10bo2bo10bo7b3o9b
o13bo13bo27bo$o7bo6bo7bo4bo10bo6bo22bo17bo15bo14bo13bo6bobo22b2o7bo2bo
6bo4bo5bo10bo22bo3bo14bo25bo3b2o8bo2bo7bo13bo3bo$30bo14bo7bo2bo7bo2bo
7bo15bob2o5bo5bo20bo4bobo14b4o3bo10bo13bo16bo6bo5bo13bo18bo6b3obo2bo
16bo5bo26bo15bobo3bo$3bo13b2o49bo11b3o4bo59bo6b2o17bo10bo4bo33bo11bo4b
o11bo6bo10bo3bo7bo3b2o8b2obo5bobobo$25b2o13bo13bo2bo4bo11bo4bo14bo14bo
24bo20bo4bo6bo10bo13bo13bo2bobo10bo4bo2bo4bobo2bo18bo4bo14bo9bobobo31b
2o$2bo14bo26bo2bo5bo10bo3bo5bo3bob2o9bobo16bo16bo2bo22b2o2bo12bo5bo15b
o9bo9bo9bo2bo2bo6bobo2bo23bo3bo14bo7bo10bo18bo5bo$2bobo7bo10bo13bo8bo
9bo26bo12b2o3bo17bo2bo8bo3bo30bo13bo4bo9b2o33bobo14bo2bo4bo9bo4b2obo6b
o29bo10bo$29bo11bo3bo12bo14b2o2bo24bobo2bo11bo19b2o9bo3bo2bo18bo5bo3bo
4bo7bo4bobo6bo11bo5bo8bob2o5bo13bo16bo6bo10bo5bo19bo2bo$3bo14bo6bo26bo
19bo4bo5b2o3bo18bo21bo25bo101bo13bo19bo9bo3bo6bo9bo$3bo6bobo21bo24bo4b
o31bo25bobo12b2o12bo16bo8bo7bo9bo16bo19bo5b2o2bo11bo11bo18b2o6bo7b2o
13b2o$o4bo3bobo13bo4bo37bo10bo30bo3bo5bo40bo13bo2bo2bo9bo7bo16b3o2bo7b
obo6bo2b2o4bo19bobo8bo16bo25bo$8bo14bo5bo3bo7bo3bo65bo2bo14bobo4b2o6bo
24bo13bo2bo14bo8bo6bo6bo3b2o24bo20bo21bo5bo18bo$5bobo11bo13bo6bobo3b2o
9bobo4bo3bob3o6bobobo17bob2o15bo6bo5bo2bo6bo4bo4bo20bo2bo2b2o20bo10bo
12bo24bo29bobo15bo21bo$15bo2bo10b2o13bo12bobo11b2o12bo6bo15b3o6bo11bo
2bo4bo14bo5bo15bo10bo3bo12bo6bo2bo23bobo4bo2bo2bo5bo2b2obo3bo8bobo6bo
20bo15bo4bo3bo$16bo14bo4bo11bo11bo13bo20bo6bobobo9bo11bo3bo19bo23bo3bo
3bo3bo5bo4bo23bo9bo2bo53bo7bo12bo$4bo23bo15bo13bo2bo5bo3bo4bo5bobo6bo
4bo8bo33b2o16bo9b3o36bobo29bo7bo9bo5bo29bo8bobo2bo7bo6bo$20bo8bo10bo
13bo14bo18bo7bo14bo22bo21bo2b2o27bo21bo6bo10bo10bo2bo9bo36bo2bo7bo7bo
11bo$bo12bo7bo3bo10bo30bobo28bo2bo10b2o8b2o2bo10bo6bo5bo5bo15bo22bo5bo
9b2o9b2o2bo3bo20bo6bo10bo10bo7bo3bo5b3o15bo$7bo15bo11bo19bo10bo8bo10bo
3bo3bo3bobo41bo3bo9b2o17bo2bo4b3obo8bo4bo13bo13b3obo5b2o9bobo36bo3bo2b
2o9b2o3bo9bo$o10bo5bo19bo7bo8bo6bo5b2o11bo15bo10bo5bo12bo4bobo8bo45bo
9bo3bo38bo3bo6b2o6bo5bo11bo4bo17bo2bo6bo11bo$2bo8bo22bo13bo7bo9bo15bo
14b5obo12bo18bo7bo3bo22bo6bo9bo33bo10bo6bo16bo6bo4bo6bo6bo9bo2bo13b2o
16bo$2bo3bo2bo11bo57bo10bobo3bo15bo9b2o3b2o8bo7bobo3bo2bo12bo7b2o6bo2b
obo3bo24bo22bo5bo12bo14b2o3bo8b2o4bo12b2o$91bo5bo24bo6bo2bo4bobo15bo7b
o6b2o23bo3bo5bo2bo5bo3b2o13bo17bo8bobo7bobo9bo8bo27bo$3bo3bo22bobo17bo
10bo3bo5bo6bo18bo25b2o5bo7bo7bo5bo10bobo3bo12bo7bo5b2o5bob2o3bo27bo8bo
20bo2bo11bo8bo4bo2bo11bo3b2o7bo4bo$7bo13bo2bo16bo4bo7bo6bo3bo9bo14bo3b
o8bo7bobob2o28b2o3bo8bo5bo13bo16bobo2b3obo4bo21b2o3bo49bo23bo18bo$14bo
bo17bo6bo10bo3bo2bo8bo3bo3bobob2o6bo49bo5bo12bo4bobo6bo3bo3bo2bo15bo9b
o15bo10bo34bo26bo11bo4bobo13bo$18b2o15bo9bo9bo5bo23b2ob2o50bo19bo12bo
18bo5bobo20bo4bobo13bo10bo8bo12bo8b2o6bo$12bobo5bobobo3bo6bo3bo2bo2bo
3bo15bo10bo4bo2b2o27bo14bo43bo8bo14b2o3bo7bo5bo15bo7bo10bo5bo8bo12bobo
12bo8bobo6bo4bo$o2bo6bo9bob2o34bo13bo3bo14bo4bo27b2obo19bo29b2o3bobo5b
o9bo28bo26bo21bo11bo18bo5bo3bo7bo$28bo16bo5bo8bo21bobo15bo11bobobo12b
2o2bo8bo6bobo16b2o2bobo20bobo2bo14b2o3bo11bo13b2o8bo15bobo4bo2bo8bo12b
o5bo16b2o$6bo23b2o6bo9bo29bo31bo2bo19bo7bo10bo3bo3bo16bo12bo14bo4bo9bo
4bo22bo22bobo9bo4bo9bo8bob2o7bo$9bo10bo4bo13bo13bo9bo2bo7bo16bo8bo10bo
5bo11bo5bo6bo41bo10bo3bo5bo3bo33bo2bo12bo2bo23bo43bo$19bo2bo12bo9bo16b
o28bo2b3o17b2o45bo18bo5bo13bo7bo4bo7bo11bo20b2o14b2o22bo10bo23bo$bo22b
o53bob2o2bo8bo8bo21bo7bo5bo6bo7b2o19bo17bo3bo11bo15bo20bo28bo3bo3bo6bo
3bo23bo5bo5bo$2bo4b2o16b2o5b2o8bo9bo3bo25bo17b2o14bobo5bo13bob2o32bo8b
2o4bo2bo28bo5bo14bo31bo6bo13bo9b2o7bo$7bo4bo2bo2bo4bo28b2o5bo10bo5bo6b
o2bo2bo5bo7bo9bo17bo3bo12bo13bobo27bo7bo5bo3bo4bo18bo3bo15bo9b2o23bobo
5bo8bo6bobo3bo$5bo3bo9bo3bo2b2obo23bo7bo36bo4bo8bo11bo5bo6bo6bo13bo9bo
6bo13bo20bo9bo6bo6bo2bo10bo6bobo17bo9bo2bo2bo16bo12bo$4bo16bo8bo17bo2b
o16bobo14bo11bo2b2o44b2o24b2o7b2o17bo7bo16b2o2b2o3bo3bo11bo6bo5bo28bo
9bo3b2obo12bo$5bo6bobo8bobo6bo65bo2bo21bo6bo22bo2b2o2bo8b2obo15bo3bo
28bo4bo5bo17bo8b2obo7bo7bobo2bo10bo4bo5bo10bo8bo3bo$17bo3bo2bo19bo13bo
8bo7bo30bo2b2o11bo3b2o14bo7b2o26bobo4bo8bo9bo20bo5bo2bo11bo5bo6bo9bo8b
o25bo16bo8bo$10bo34bo6bo7bo9bo18bo6bobobo5b2o9bo3bo24bo11bobo9b2ob2obo
29bo19bo17bo4bo8b2o7bo12bo15bobobo14b2o8bo$bo10bo3bo14b2o9bo3bo24bo5bo
3bo8bo12bo23bo12bo3bo24bo9bobo38bo10bo11bo6bo11bo12bo5bo2bo4bo4bo22bo
5bo$21bo61bo5bo20b2o2bo7bob2o11bo22bo11bo6bo3bo3bo16bo4bo14bo5b2o6bo2b
2o9bo7b3o3bo7bo7bobobo4bo3bo7bo4bo12bo$10bo14bo7bo10bo2bo35bo20bo2bo8b
2o17bo8bo22bo5bo4bo3bo16bo21bo5bo5bo5bo2bo20bo3bo9bo22bo5bo6bo4bo4bo$
5bo7bo5bo14bo12bo12bo20bo32bo17bo10bo9b3o11bo8bo9bo18bo5bo21bo2bo13bo
28bo3bo$2bo6bo28bo4bo11bo6bo8bo3b2o5bo3bo2bo5bo9bo3bo19bo9b2o3bo21bo2b
o2b2o50bo2bobo9bo7b2o17b2obo23bo2bobobo$8bo20bo7bo5bo2bo9bo9bo6bo5bo7b
o5bo6bo6bo10bo7bo13bo5bo16bo16bo21bo3bo3bo6bo3bo4bo6bo14bo3bo7bo9bo2bo
7bobo8bo4b2obo25b2o$9bo11bo4bobo6bo3bo9bo2bo17bob2o3bobo16bo7bob2o7bo
6bo3bo19bo5bo26bo4bo6bo4b2o2bo5bo8bo5bo7bo2bo7bobo4bo11bo15bo30bo9bo7b
o$11bo2bo11bobo18bo9bo11b2o19b2o30bo15bobo15bo5bo30b3o2bo33bo24bo15bo
3bo8bo23bo2bo15bo$20bo12bo5bo6bo17bo10bo3bobo12bo23bobo46bo2bo3bo3bobo
12bo3bo14bobo10bo4bob4o2bo12bobo20bo3bo7bo18bo5bo9bo5bo$4bo2bo14bo9bo
3bo3bo10bo9bo34bo8bo4bo8bo5bo7bobo7bo7bo30bo11bo2bo3bo2bo22bo7bo3bo30b
o16bo12bo2bo15b2o$7bo10bo8b2o31bo10bo4b2ob2o7bo6bo6bobo14bo5bobo5bo2bo
8bo20bo10bo29bo24bo4bo15bo4bo3bo7bo3bo17bo11b2o3bo$7bo2bo2b2o26bo2bo3b
o36bo7bobo4bobo8bo4bo15bo14bo6bo28bo7bo7bo3bobo10bo3b2o13bo2bo2bo2bo3b
o3bobo11bobobo5bo3bo6bo3bobo6bo12bo$11bo10bo2bo6b2o18bo4bo5bo2bo15bo
53bo4bobobo27bo2b2o8bo5bo18bo2bo4bo3bo34bo15bo2bobo20bo15bo11bo$5bo19b
o8bo5bo6bo6bo31bo3b2o6bo4bo4bo13bo18bo35bo10bo30bo17bo3bo7bo10bo4bo12b
ob2o6b4o2b2o16bo16b2o$30bo9bo10bo10bo15bo3bo9bo6bo29bo12bo14bo25bo2bo
18bo4bo17bo4bo25bo5bo8b2o16bo7bo14bo$o2bo16bo3bo5bo35bo11b2o11bo5bo2bo
2b2o4bo10bo21bobo4bo7bo2bo28b2o8bo11bob3o7bo7bo8bo11bo3bobobo6bo4bob2o
29bo17bobo$16bo9bo14bo3bo11bo25bo4b2o9bo5bo4bo27bo9bo9bo5b2o3bo3bobo
36bo2bo4bo2bo7bo14bo17bo10bo2bobo3bo13bo9bo3bo3bo2b2o$10bo19bo10bo5bo
2b2o13bo19bo5bo10bo9bo14bo13bo7bo4bo2bo21bo15bobo14bo16bo9bobo15bo12bo
5bo2bo13bo36bo$b2obo9bo24bo21bo7bo9bo40bobo11bo5bo14bo4bo5bo3bo26bo4bo
4bo11bo12b2obo27bo10b2o24b3o$5bo6bo6bobo25bo12bo4bo3bo9bobo6bo20bo7bo
3bo8bo8bobo5bobobo4b2o44bo6bo6bo3bo18bo7bo12bo8bo7bo2b2o4bo9bobo17bobo
3b2o$8bo4bo14b2o10bo3bo19bo11bobo15bo6bo2bo19bo10bo2b2o18b2obo5bobo8bo
11bo12bo3bo21bob2obo4bo5bo7b2o7bo4bo6bobo7bo19bo9bo6bo8bo$14bob2o27bo
74bo19bo9bobo33bo4bo2bo8bo7bo15bo17bo23bo7bo17b2obo12bo9bo8bo$2bo3bo8b
o2bo3bob4o3bobo7bobo19bobo9bo6bo12bo20bo2bo6bo2bo25bo13b2o24bo5bo6bo8b
o32b2o7bo4bo13bo8bo11bo7bo2b2o8bo$7bo25bo14bo7bo3bob2o12bo6bo5bo2bo20b
o10bo9bo3bo3bo3bo3bo2b2o11bo8bo21bo30bo5b2o9bo8bo9bo31bo4bo11bo3bo$12b
2o3bo2bo12bo17bo10bobo7bo14bo7bo9bo6bo4bo7bob2o5bo8bo13bo11bo2bo17bobo
10bo3bo15bo7b2o14bo11bo4bo13bo4bobo3bo16bo13bo4bobo$6bo62bo9bo19bo14bo
8bo11b2o11bo25bo22bo3b2o10bo2bo27b2o10bo15bo4bo17bo5b2o19bo$7bo36bo5bo
35bo5bo7bobo24bo5bo3b3o2bo4bo10bo10bo25bo18bo4bo9bo6bo40bo$2bo3b3o36b
2o22bo37bo3bo3bo5bo21bo6bo10bo17bobo8bo4bo3bo11bo17bo5b2o2bo12bobo6bo
12bo3bo5bo3bo4bo3bo9bo3bo3bo$4bo7bo3b4o13bo4bobo21bo6b2o12bo29bo3bo19b
o5bo12bo2b3o9b2o16bobobo11bobo27bo7b2o24bo18bo$34bo15bo2bo5bob2o21bo2b
o3bo7bo5bo3bo2bo25bo13bo6bo31bo17bo2b2obobo3bo10bo5bo15bo12bobo3b2o8bo
12bo3bo8bo$5bobo4bo22bo4bobo5bo5bo11bo21bo2b2o23bo8bobo12bo5bo8bobo19b
2o7bo6bo19bo2bo2b2o3bo4bo6bo11bo28bo11b2o3bo17bo14bo$16bo10bo14bo14bob
o5bo19bo13bo16bo5bo17bo10bo30bo5b3o5bo7bo2bo2bo4bo6bobo2bob2o20b2o8bo
20bo44bobo$bo5b2o24bo7bo21bo19bo9bo10b2o21bo5bo16bo12b2o6bo11bo14bo4bo
20bo10bo3bo4bo10b2obo11bo5bobo10b2o2b2o6bo5bo10bo$11bo3bo11bo4bo8bo11b
2o37b2o9bob2o2bo6bo13b2o5bo3bo31b2obo18b2o2bo23bo6bo10bo8bo9bo5bo8bo3b
o7bo4b2o17bo$2bo10b3o2bo25bo13bo40bo11bo9bo2bo2b2o6bo10bo18bo27bo18bob
o5bo16bobo6bo7bo10bo10bo7bo6bo2bo15b2o17bo$o21bobo4bo13bo24bo16bo18bo
6bo8bo14bo8bo15bo3bo9bo2bo15bo3bo4bo6bo15bo10bo15bo3b2o3bo10bo9bo2bo3b
o15bo3bo$25bo17bo9bo6bo3bo10bo55bo10bo5bobob2o6bo6bo26bo3bob2o11b2ob2o
4bo5bo5bo37bo9bo3bo4bo6bo3bo7bo18bo$bo4bo4bo5b2obo15bo11bo4bobo16bo5bo
7bo9b2o14bobo8bo9b2o3bo10bo7bo13bo3bobo17bo2bo10bo4bo2bobo2bo25bo27bo
20bo22bo2bobo4bo$15bo6bo4bo10bo6bo2bobobo2bo22bobo10bo9b2o11bo8bo15b2o
11bo6bo6bo15bobo15b4o7bo11bo3bo7bo12bo34bo2bo2bo5bo8bo9bo4bo4bo$40bobo
3bo15bobo2bo6bo5bo3bo16b2o18bo2bo10bo2bo2bo15bo20bo10bo8bo11b2o8bo18bo
17bo7bo2bo2bo6bo7bo10bobo6bo4bo9bo2bob2o$15b2o9bobobo6bo3bo2bo5bo6bo
14bo11bo52bo21bo7bo8bo5bobo10bo9b2o11bo22bo3bo27bo4bo26bobo20bo$5bo22b
o8bo3bo3b2o6bo13bo4bo25bo4bo35bo7b2o2bo15bo6bobo7bo11bo10bo5bo12bobo
11bo3bo2bo2bo9bo10bo5bo11bo12bo2bo18bo$o8bo10bo3bo18bobo6bo23bo28bo6bo
42bo2bo9bo20bo16bo5bo11bo33bo10bo11bo5bo3bo5bobo7bo5bo5bo7b2o$6bobo8bo
2bo12bo17bo41b2o13b2obo3bo3bo24b2o17bo11bo12bo11bo5bo2b2o23bo2bo10bo
24bo14b2o$3bobo3bo3b2o7bo8bo9bobo4bo3bo6bo8bo8bo3bo4bo21bo3bo15bo9bo
26bo23bo4b2o9bo3bo22bo8bo5bo7bo3bo22bo34bo2bo3bobo$3bo5bo15bo6bo12bo4b
o18bo54bo20bo5bo4bo3bo28bo10bo6bo9bo2bo12bo8bo13bo21bo3bo9bo37bo$5bo2b
o36bo17bo2bo17bo2bo3bo12bo4bo13bo9bo9bo12bo3b2o35bo13bo5bo19bobo2b2o
19bo6bobobo9bo3bo6bo8bo12bo$11bob2ob2o5bo8bo2bo27bo3bo7bo24bobo3bo3bo
7b4o26bo3bo16bobo4b2o10bo24bo24bo9bo23bo2bo3bo21bo7bo16bo$32bo9bo2bo4b
o32bo7bo2bo5bo2bo8bobo20bo2bo8bo3bo22bo13bo2bo4bo5bo7bo10bo2bo13bo7bo
5b2o12bo11bo3bo5bo21bo$4bo19b2o7bo23bo12bo16bo21bo6bo14bo14bobo25bo12b
o14b2o39bo6bo3bo4bobo7bo17bo9bo10bo6b2o3bo2bo5bo$34bo5bo3b2o8b2obo18bo
23b2o15b2o9bo8bo9bo34bo14bo2b2o20bo17bo30bo12bo2bo10b2o5bo10bo7bo3bo$
16b2obo2bo9bo7bobo2bo5bo9bo11bo30bo4bo2bobo18bo6bo5bo8bo4bo27bo17bo24b
o32bo3b3o25bo5bobo21bo$4bo11bo47bobo3bobo8bo2bo36bo2bobo12bo7bob2o2bo
4bo16bo18b2o9bo21bo3bo4b2o19b2o25bo15b2o5bo4bo$18b2o2bo4bo3bo10bo7bo
33bo2bo2bo4bo6bo5bo12bo8bo3bo6bo23bo5b2o35bo22bo2bo2bobobo26bobo5bo3bo
5b2obo7bo22bo3bo$bo3bo8bo12bo13bo17bob2o18bo12bo5bo10bo8b2o19bo29bobo
3bo9bo22bo3bo4bo10bobo9bo13bo12bo4bo14bo20bo7bo!

Code: Select all

x = 116, y = 114, rule = B1e2-ac3-ai4-a5-aei78/S01234-aiw5-ai678
4bobo17bo4b2o24b3o5bo2bo5bo2bo11bo$23b2o7bo11bobo2b2o6b2obo27bo2bo9bo
7bo$4bo14b2o44bo25bo10bobo2bo$14bo12bo4bobo6b2o9bo4b2o7bo12bo7bobo5bo$
9bo13bo10bo4b2o14b2o14bo12bo3bobo6b2o7b2o3bo$7bo16bo2bo10bobo9bobo2bo
8bo6b2o13bo$4bo3bo9bo13bo8bo51bo6bo$2o24bo9b2o11bo6bo4bo4bo2bo16bo18bo
$o9bo18bo23b2o8bo5bo17bo4bo7bo$30bo5bo9bo4b2o6b2o4bo13bo2bo23bo5bo$17b
o4bo7bo6bo11bobo5bo17bo9bo8bo5bo3bo$bo4bo2bo16bobo10bo6bo2bo17bo2bo4bo
19bo4bo11bo$8bo9b2o9bo15b2o12bo4bo2b2o2bo5bo3bo5bo11b2o7b2o3bo$10bo14b
obo26bo4bo16bo7bo18bo6bo$3bo11bo16bo3bo2bo27bo4bobo3bo3bo5bo12b2o$bo6b
o7bobo7b2o11bo7b3o24bo12bobo18bo$b3o3bo4bo19bo17bo13b3o2bo12bo5bo$50bo
2bo7bo7bobo4bo4bo7bo7bobo3bo3bo$2bo2bo10bo19bo12b2o6bo3bo2bo34bo$7bo
13b2o8bo2bo12bobo35bo14bo2bo9bobo$29bo4bo8bo4bo7bo11bo18bo12bo8bo$10bo
2bo6bo3bo15bo20b2o4bo9bo15bo$3bo8bo18bob2o6bo16bo7bob2o5b2o5bo9b2o6bo
3bo5b2o$25bo8b2o13bo30bo6bo20bobo2bo$18bo14bobo18bo11bo3b2o5bo9bo12bo
10bo$16bo3bo2bo8bo24bobo4bo11b2o2bo12bo6bo4bo$3bo7bo4bo17bo2bo4bo11b2o
bo20bo23bo3bob2o$17bo22bo4bo6bobo2bo20bo2bo2b2o2bo5bo$21bo3bo39bo15bo
3bobo5bo8bo$2bo4b2o13bo10bo7bo6bob2o18bobo12bo19bo$11bo18bo12bo5bo8bo
8bo21bobo2b2o4bo12bo$o6bo4bo6bo6b2o13bo17bo9b2o13bo$7bo6bo16b2o6bo3bo
5bo17bo40bo$4bo12bo4bo12bo6bo20bo4bo2bo7bo33b2o$15bo32bo2bo6b2obo12bo
8bo2bo4bo10bobo2bo4bo$9bo6bo9bo2bo19bo36bo3bo$o6b2o9bo4b2o3bo2bo3bo18b
o6bo2bo2bo6bo2bo14bo7bobo2bo$12bo2bo6bo2bo9bo2b2o2bobo41bo3bo11bo2bo8b
o$20b2o13bo7bo10bo22bo14bob2o2bo6bo6bo2bo$o7bo46bo3bo7bo11bo4bo$bo7bob
o15bo13bo3bo6bo10bo4bo10b2o29bo$10bo11bo5bo14bo5bo5bo11bo5bo30bobobo$
30bo5bo3bobo4bo2bo2bo10bo4b2obo8bo20bo4bo7bo$4bo2bo10bobobo2bo3bo16bo
8bo10bobo7bo3bo15bo3b2o$20b2o9bo6bo3bo11bo5bo3bo15bo5b2o5b2o19bo$bo3bo
9bo13bo2bo7bo17bo13bo13bo3bo16bo$12bo13bo9b2o3bo3bo6bo18bo15bo15bo3bo
2bo$o19b2o5bo4bo5bo7bo5bo11bo7bo7bo2bo5bo4bo2bo3bo$2bo5bo3bo3bobo8bo
10bo9b2o12bo8bo$4bo3bo38bo8bobo6bobo15bo4b2o7bo3bo4bobo$7bo14bo3bobo5b
o17bo5bo2bo16bo7bo6bo6bo2bo5bo$3b2o4bo2bo5bobo11bo21bo9bo6b2o5bo24bo$b
o9bo7bo14bo10b3o16bo12bo5bo24bo2b3obo$5bobo5bobobo3b2o7bo10b3o3bo31bo
3bo2bo9bo12bo2bo2bo$17bo11bobo18b3o12b2o2bo4bo19bo2bo6bo7bo$9bo9bo32b
2o8bobo42bobo$48bo2bo5bo2bo29bo14bo5bo$bo20bo23bo5bo10bo5bo11b3o16bobo
10bo$13bo27bo5b2o33bo8bo14bo2b2o$5bo10bo8bo8bo2bo16bo4bo8b2o5bo10bo2bo
2bobo15b2o$4bo11bo3bo11bo7b2o13bo23bo12bo4bobo6bo7bo$12b2obo9b2o12bo
11bo10bo14bo3bo5bobo6bo12bo$8bo4bo12bo2bo15bo5b2ob2o3bo13bo15bo5b3o10b
o$b2o5bo2b2o14bo17bo5bo5bo3bo46bo$9bo12bo15bo37bo7bobo18bo2bobo$3bo16b
o36bo14bo2bo9b2o16bo$9b2obobo7bo14bo11bo5bo8bo22bo13bobo2bo2bo4bo$20bo
8bo39b2o4bo24b2o8bo$bo13bo8bo4bo5bobo8bo3bo11bo14bo7bobo5bo13bo3bo$14b
o30bo5bo3bo2bo2b2o7bo4bo6bo16bo13bo$4bo3bo14bo14bo4bo3bo11bo6bo3bo4bo
18bo12bo$15bo11bobo8bo20bo4bo4bo25bo8bo7bo$5bo6bo6bo2bo7bo10bo22bo12bo
bo33bo$4bo7bo11bo3bo4bo18bo7bo14bo4bo5b3o4bo13bo3b3o$9bo19bo62bo13bo$
19bo2bo2b2obo4bo2bo16bo5bo4bo6bo5bobo5bo$19bo3bobo10bobobo19bo19bo2bo
31bo$2bo3bo2bo31bo12b2o3bo5bo3bo17bo11bo$3bobo4bo9bo4bo13b2o15bo5bo5bo
5bo29bo4bo$2bo23bo21b2o6bo2bo2bo26bo3bo3bo15bo$6bo16bo10bo15bo3bobo8bo
5bo17bo5bo8bobo$15bobo43bo4b2o5bo8bo22bo$26bo14bo35bo23bo$23bo5b2o7bo
8bo14bo8bobo10bo19bo$bo3bo19bo34bo2bo13bo10bo4bo9bo7bo$19bo10bo6bo16bo
9bo14bo11b2o3bo5bo2bo2bo$o3bo4bo23bo7bo25bo3bo2bo11bo15bo2bob2o$14bo4b
obo29b2o3bo3bo7bo2bo4bo10bo5bo19bo$3bo15bo6bo2bobobo3bo6b4o5bobo24bo
12bo2bo9b2o$o2bo12bo6bobo17bo15bo3bo17bo11b2o5bo2bo10b2o$14bo3bo17bo4b
o10bo17bo7bo4bo3bo3bo15bo2bo4bo$18bobo10bo2b2o2bo6b2o10bobo4bo11bo16bo
4bo8bo$2bo4bo11b2o13bo3bo38bobo6bo2bo21bo$4bo17bo9bo9bo8bo6bo7bo3bo7bo
4bo4b2o2b2obo5bo2b2o8bo$13bo27bo12bob2o8bo5bo16bobo10b2obobo4bobo$10bo
bo2b2o12bo12bob2o4bo2bo11bo2bo10bo5bo24bo3bo$9bo34bo3bo3bo13bo2bo3bo
13bo3bo6b2o5bo3bo$5bo3bo7bo7bo13b2o2bo14b2o7bo2bo20bob2o3bo10bo3bo$bo
28b2o3bo2bo12bobo4bo17bo2bo16bo3bo$2bo50bo13bo7bo26bobo$o3bo12bo16b2o
10bo3bo18b2o7bo7bo9bo6bo7bo$4bo8bo7bo13bo10bo3bo11bo24bo21bo4bo$16bobo
6bo8bobo4bo2bo2bo9bo4bo15bo6bo2bo4bo10bo4bo$6bo7bobo3bo3b2o22bo14bo38b
o4bo6bo$o6bo5bo4bo13bo6bo21bo16bo3bobobo4bobo7bo$8bo2bo11b2o29bo4bo8bo
bo12bo28bo$3bo9bo8bo12bo19bo2bo11b2o7bo20bo$29bo10bo20bo18bo30bo$24bo
7bo3bo13bo18bo4bo7b2o13bo10bobo3bo$38bo3bo2bo7bo5b2o3bobo15bo7bo23bo$b
o20bo2bo9bo9bo2bo19bo9bo13bo9bo$14bobo11bobobo10bo14bobo50bobo$18b2o
23bo10bo3bo3bo3bo6bo9bo26bo$b2o17bo7bo10bo5bo2bo23bo13bo!
Failed Replicator!

Code: Select all

x = 4, y = 4, rule = B34ce5cen67c8/S2-i3-jqry4cent5j67c8
bo$obo$bobo$2bo!
(That I wish was not failed D:)

User avatar
2718281828
Posts: 738
Joined: August 8th, 2017, 5:38 pm

Re: Rules with interesting dynamics

Post by 2718281828 » May 13th, 2019, 5:50 pm

This is a whitespace rule, I think moosey will like it.
There are many features in this rule, illustrated here:

Code: Select all

x = 188, y = 150, rule = B3aei4cejnq5ceq6ci7c/S2ce3-kqy4ejkqrtz5ein6-an78
8$77b2o$24bo2bo45bo3b2o$25b4o2b2o24b2o13b2o50bobo$24bo2bo3b2o24b3o11bo
bo51bo$58bo13bo52bo$5bo97b2o19b3o$3bob2o35b2o59b3o19bo$3b5o5b2o28b2o5b
2o10b2o7b2o9b2o20bo$5b4o4b2o26b5o4b2o10b2o7b2o9b2o$4bob2o16bo2bo15b2o$
5b2o18b4o3b2o8b2o62b2o15b2o$24bo2bo4b2o43b2o27b2o15b2o$77b2o22$85b2o$
85b2o2$84b3o$85bo$85bo$84b3o$85bo$84b3o31bobo$85bo33bo$84b3o31b3o$85bo
33bo$118b3o$119bo$118b3o$119bo$118b3o$119bo$68b2obo2bobobobobo12bo2bo
12bo2bo3b3o$68b2ob13o12b4o12b4o3bo$71bo2bobobobobo12bo2bo12bo2bo3b3o$
119bo$118b3o$119bo$118b3o$119bo$118b3o$85bo33bo$84b3o31b3o$85bo33bo$
11bo72b3o32bo$9bob2o72bo32b3o$10b2o72b3o32bo$10bo74bo$84b3o$85bo$85bo$
84b3o2$84b2o$84b2o2$24bo$23b2o94b2o$22bobo94b2o$23bo4$22b2o8b2o49b2o$
22b2o8b2o49b2o2$82b3o$83bo$83bo$82b3o$83bo$82b3o$83bo$82b3o$83bo$82b3o
$83bo4$66b2obo2bobobob2o$66b2ob11o$69bo2bobobob2o4$83bo$82b3o$83bo34b
2o$82b3o33b2o$83bo$82b3o40b3o$83bo40bobo$83bo41bo$82b3o2$82b2o$82b2o8$
170bo3b2o$170b4ob2o$174b4o$170b9o$174b4o$170b4ob2o$170bo3b2o!
[first line] A couple of natural ships (three c/2 ships orth and two c/4 diag). Two collisions which give a spacefiller.
[second line] A stable splitter with min. repeat time 49. Two guns, based on wick-stretcher - and a method how ships can pass a wall generated by wick-stretchers,and how the walls can reflect a ship.
A collision of a c/4 diag ship with a bock which yields a back-rake, and another rake.

This rule seems to be stable and well behaved even though there is this failed replicator:

Code: Select all

x = 9, y = 4, rule = B3aei4cejnq5ceq6ci7c/S2ce3-kqy4ejkqrtz5ein6-an78
bo$3o4bo$bo4b3o$7bo!
Edit1:
An adjustable ship:

Code: Select all

x = 33, y = 19, rule = B3aei4cejnq5ceq6ci7c/S2ce3-kqy4ejkqrtz5ein6-an78
2$4b2obo16bo$4b5o14b2o$5b5o12bo3bo$6b3o14b5o$5b3o17b4o$26b2o$7bobobobo
bobobo2bo2b2o$5b19obo$7bobobobobobobo2bo2b2o$26b2o$5b3o17b4o$6b3o14b5o
$5b5o12bo3bo$4b5o14b2o$4b2obo16bo!
Edit2:
Other direct guns:

Code: Select all

x = 41, y = 48, rule = B3aei4cejnq5ceq6ci7c/S2ce3-kqy4ejkqrtz5ein6-an78
5$4b2o22b2o$4b2o22b2o4$5bo22bo$4b3o20b3o$5bo22bo$4b3o20b3o$5bo22bo$4b
3o20b3o$5bo22bo$4b3ob3o16b3o$5bo2b3o17bo$4b2o3bo17b3o$5b3obo18bo2b3o$
4b7o17bo2b3o$5bob3o18bo3bo$5bo3b2o17b2o2b2o$4b3o2bo18bo3bo$4b3ob3o16b
2o2b2o$9bo18bo3bo$8b3o16b3o2bo$9bo17b3o2bo$8b3o20b3o$9bo22bo$8b3o20b3o
$9bo22bo$31b3o$32bo$31b3o$8b2o22bo$8b2o21b3o$32bo4$31b2o$31b2o!
Edit3: A fancy splitter with the four most frequent ships as output (and the input twice)

Code: Select all

x = 24, y = 24, rule = B3aei4cejnq5ceq6ci7c/S2ce3-kqy4ejkqrtz5ein6-an78
14bo$13b2o$12bobo$13bo4$22b2o$22b2o4$18b2o$18b2o2$16b2o$16b2o6$2o$2o!
but a huge repeat time.

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Moosey
Posts: 2479
Joined: January 27th, 2019, 5:54 pm
Location: A house, or perhaps the OCA board.
Contact:

Re: Rules with interesting dynamics

Post by Moosey » May 13th, 2019, 7:04 pm

2718281828 wrote:This is a whitespace rule, I think moosey will like it.
Moosey likes it CONFIRMED

Is this known?

Code: Select all

x = 11, y = 7, rule = B3aei4cejnq5ceq6ci7c/S2ce3-kqy4ejkqrtz5ein6-an78
5bo$4b3o$3b5o$2b7o$b2ob3ob2o$2o3bo3b2o$2bo5bo!
P12

Code: Select all

x = 17, y = 17, rule = B3aei4cejnq5ceq6ci7c/S2ce3-kqy4ejkqrtz5ein6-an78
5bo3bo$4b7o$5bo3bo2$bo$3o$bo13bo$bo12b3o$bo13bo$3o12bo$bo13bo$14b3o$
15bo2$7bo3bo$6b7o$7bo3bo!
Die88 (not impressive)

Code: Select all

x = 12, y = 12, rule = B3aei4cejnq5ceq6ci7c/S2ce3-kqy4ejkqrtz5ein6-an78
10bo$9bobo$10bo7$bo$obo$bo!
I am a prolific creator of many rather pathetic googological functions

My CA rules can be found here

Also, the tree game
Bill Watterson once wrote: "How do soldiers killing each other solve the world's problems?"

User avatar
2718281828
Posts: 738
Joined: August 8th, 2017, 5:38 pm

Re: Rules with interesting dynamics

Post by 2718281828 » May 14th, 2019, 6:52 am

Moosey wrote: Is this known?

Code: Select all

x = 11, y = 7, rule = B3aei4cejnq5ceq6ci7c/S2ce3-kqy4ejkqrtz5ein6-an78
5bo$4b3o$3b5o$2b7o$b2ob3ob2o$2o3bo3b2o$2bo5bo!
Yes, it is a result of one of the c/4-diag-ship+block collisions.

I noticed that there are many small (and should be 'natural') ships, at least 10. Here a list with eaters, and some converters/refectors/splitters:

Code: Select all

x = 182, y = 95, rule = B3aei4cejnq5ceq6ci7c/S2ce3-kqy4ejkqrtz5ein6-an78
8$24b2ob2o$24b2ob2o58bo2bo44bo3b2o21bo$77bo10b4o2b2o23b2o13b2o3b2o20b
2o$8b2obo11b2o24bo25bob2o8bo2bo3b2o23b3o11bobo24bobo$8b5o10b3o8b2o13b
2o12bo11b5o2b2o36bo13bo26bo$9b5o2b2o4b5o2b2o3b3o3b2o7b3o3b2o4bob2o10bo
b2o3b2o$10b3o3b2o5b3o3b2o2b5o2b2o6b5o2b2o4b5o4b2o5bo26b2o$9b3o11b2o9b
3o12b3o11b4o3b2o33b2o5b2o10b2o7b2o9b2o11b2o16b2o$34b2o13b2o11bob2o37b
5o4b2o10b2o7b2o9b2o11b2o16b2o$25b2o7bo14bo13b2o22bo2bo14b2o$25b2o61b4o
3b2o7b2o$76bo10bo2bo4b2o42b2o25b2o$74bob2o61b2o25b2o$74b5o3b2o$74bob2o
4b2o$76bo$25b2o$25b2o2$22b2o$22b3o$21b5o2b2o$22b3o3b2o$22b2o2$25b2o$
25b2o109bo3b2o$135b2o3b2o$134bobo$135bo6$21b2o$21b3o3b2o111b2o$20b5o2b
2o111b2o$21b3o$21b2o2$24b2o$24b2o4$136bo$135b2o$134bobo3b2o$135bo4b2o$
21b2o$21b3o3b2o$20b5o2b2o$21b3o$21b2o7$21b2ob2o$21b2ob2o2$20b2o$20b3o$
19b5o2b2o$20b3o3b2o$20b2o!

User avatar
2718281828
Posts: 738
Joined: August 8th, 2017, 5:38 pm

Re: Rules with interesting dynamics

Post by 2718281828 » May 14th, 2019, 5:50 pm

There are plenty small ships with speed c/2, here a ship collection:

Code: Select all

x = 286, y = 90, rule = B3aei4cejnq5ceq6ci7c/S2ce3-kqy4ejkqrtz5ein6-an78
15$3bo24b3o11b3o10b2obo82b2ob2o$2bob2o10b2o12b2o12b2o9b5o31bo49b2ob2o$
4b3o10b2o8bob4o3b2o5b4o3b2o4b5o2b2o9bo14bob2o98bo2bo44bo3b2o21bo$3b5o
2b2o2b6o2b2o4b6o2b2o2b8o2b2o5b3o3b2o7b2obo13b5o4b2o40b2o24bo14bo10b4o
2b2o23b2o13b2o3b2o20b2o$4b3o3b2o5b2o3b2o3bob4o10b4o9b3o13bobo3bo3b2o7b
4o3b2o40b3o8b2o13b2o11bob2o8bo2bo3b2o23b3o11bobo24bobo$2bob2o10b2o12b
2o12b2o25b3ob5o2b2o6bob2o45b5o2b2o3b3o3b2o7b3o3b2o5b5o2b2o36bo13bo26bo
$3bo24b3o11b3o33bo12b2o47b3o3b2o2b5o2b2o6b5o2b2o5bob2o3b2o$140b2o9b3o
12b3o12bo26b2o$151b2o13b2o41b2o5b2o10b2o7b2o9b2o11b2o16b2o$142b2o7bo
14bo40b5o4b2o10b2o7b2o9b2o11b2o16b2o$142b2o47bo2bo14b2o$192b4o3b2o7b2o
$180bo10bo2bo4b2o42b2o25b2o$105bo72bob2o61b2o25b2o$2bo35bo14bo10bo24bo
13bob2o16bo54b5o3b2o$bob2o10bo9b2o9b2obo13b2o7bob2o10b2o11b2o13b4o12b
5o53bob2o4b2o$3b3o3b2o4b2o3b2o4b2o3b2o3bobo3bo3b2o3b5o2b2o2b5o2b2o3bob
3o3b2o2b6o2b2o5b8o3b2o9bo18b2o36bo$2b5o2b2ob6o2b2o2b5o2b2o2b3ob5o2b2o
4b3o3b2o3b3o3b2o4b5o2b2o5b2o3b2o8b4o4b2o14b2o12b2o$3b3o9b2o8b3o14bo9b
2o9b2o9bob3o10bo13bob2o21b2o$3b2o9b2o9b2o49b2o27bo33b2o$139b3o$138b5o
2b2o$139b3o3b2o$139b2o2$142b2o$6bo15bo15bo45bo57b2o$4b2obob2o9b2obo2bo
9b2obob2o11b3o13b3o10bob2o14b3o136bo3b2o$4bobo3b2o3b2o3bobo3b2o3b2o3bo
bo3b2o2b2o8b2o4b2o7b3o11b3o15b2o3b2o14bo3b2o109b2o3b2o$3b3ob6o2b2o2b3o
b6o2b2o2b3ob6ob2o7b4o3b2o6b5o2b2o5b5o2b2o9b4o2b2o11b5o2b2o108bobo$10b
2o14b2o14b2o8b3ob2o11b5o3b2o6b3o3b2o6b3ob2o19bo114bo$10bo14b2o14b2o11b
3o12b2obo12b2o14b3o$54b2o29bo15b2o3$138b2o$138b3o3b2o$22b2o34bo2bo14bo
25bo34b5o2b2o98b2o$4bo17bobo16b2o7b2o7b4o10b5o2b2o8bo10b2o35b3o103b2o$
2bob2o2b2o11bobob2o11bob3o7b2o6bo2bo14bo3b2o5b5o2b2o4bo3bo33b2o$3bob2o
b3o10bo3b3o13b2o2bo10bobo13b2o16bo3b2o5b5o$2b3o2b5o2b2o5bo2b5o2b2o10bo
b2o11b3o2bo9bo12b2o15b4o5b2o27b2o$2bo3bob3o3b2o3b3o3b3o3b2o10b5o2b2o4b
o4b4ob2o2b4o13bo16b2o6b2o27b2o$8b2o9bo5b2o17b3o3b2o8bo2bo2b2o4b2o11b3o
14b3o$44b2o40b2o3$240bo$239b2o$238bobo3b2o$138b2o99bo4b2o$138b3o3b2o$
51bobo12bo70b5o2b2o$52bobo11b2o70b3o$50b4obo10b3o69b2o$50bo2b3o8b3ob2o
$53bobo11b4o$51bo2bo13b2o$50b2o6bo8b2o$50b4ob5o5b3o$50b2o6bo8b2o$51bo
2bo13b2o68b2ob2o$53bobo11b4o67b2ob2o$50bo2b3o8b3ob2o$50b4obo10b3o68b2o
$52bobo11b2o69b3o$51bobo12bo69b5o2b2o$137b3o3b2o$137b2o!
Most of them have small eaters.

More wick-stretcher based guns, such as a way too half the period by a wall:

Code: Select all

x = 274, y = 62, rule = B3aei4cejnq5ceq6ci7c/S2ce3-kqy4ejkqrtz5ein6-an78
2$232b2o4bobobobobobobobobobo4b2o$232b2o3b21o3b2o$238bobobobobobobobob
obo18$36b2o15b2o$13b2o21b2o15b2o$13b2o56b2o$71b2o159b2o4bobobobobobobo
bobobo4b2o$176b2o4bobobobobobobobobobo4b2o25b2o3b21o3b2o$9b2o26bo14b3o
121b2o3b21o3b2o31bobobobobobobobobobo$9b2o2b3o20b3o13b3o127bobobobobob
obobobobo$13b3o21bo15bo18bo$14bo21b3o13b3o16b3o$13b3o21bo15bo18bo$14bo
21b3o13b3o6b2o8b3o$13b3o21bo15bo7b2o9bo$14bo21b3o13b3o16b3o$13b3o21bo
15bo18bo$14bo21b3o13b3o2bo13b3ob3o$10bo2b3o16b3o2bo15bo2b3o13bo2b3o$9b
3o2bo17b3o2bo15bo3bo13b2o3bo$10bo3bo18bo3bo15bo3bo14b3obo$10bo3bo17b2o
2b2o14b3ob3o12b7o9b2obo2bobobo17bobobo2bo$9b3ob3o17bo3bo15bo3bo14bob3o
10b2ob9o15b9ob2o4b2obo2bobobo11bobobo2bo68b2obo2bobobo17bobobo2bo$10bo
3bo18b2o2b2o17b3o13bo3b2o12bo2bobobo17bobobo2bob2o4b2ob9o9b9ob2o9b2obo
2bobobo17bobobo2bo20b2ob9o15b9ob2o$9b3o21bo3bo19bo13b3o2bo29bo26bo2bob
obo11bobobo2bob2o9b2ob9o15b9ob2o20bo2bobobo17bobobo2bob2o$10bo22bo2b3o
17b3o12b3ob3o27b3o67bo2bobobo17bobobo2bob2o36bo$9b3o21bo2b3o13b2o3bo
18bo29bo84bo54b3o$10bo3b2o16b3o17b2o2b3o16b3o27b3o37b3o42b3o54bo$9b3o
2b2o17bo23bo18bo29bo38b3o43bo54b3o$10bo21b3o21b3o16b3o27b3o38bo43b3o
54bo$9b3o21bo3b2o18bo13b2o3bo29bo38b3o43bo54b3o$10bo21b3o2b2o17b3o12b
2o2b3o28bo39bo43b3o54bo$9b3o21bo22b3o17bo28b3o37b3o43bo55bo$9b3o20b3o
111bo44bo54b3o$33bo71b2o38b3o42b3o$32b3o70b2o39bo99b2o$33bo22b2o17b2o
69bo43b2o54b2o$10b2o44b2o17b2o68b3o42b2o$10b2o$145b2o$33b2o110b2o$33b
2o!
A conduit based gun:

Code: Select all

x = 39, y = 40, rule = B3aei4cejnq5ceq6ci7c/S2ce3-kqy4ejkqrtz5ein6-an78
21b2o$21b2o6$15b2o8b2o$15b2o8b2o2$7b2o$7b2o$15b3o$16bobo$17bo$24bo3b2o
$23b2o3b2o$22bobo$13bo9bo$12bobo$7b2o3b2o$7b2o3bo22b2o$19bo15b2o$18bob
o$19b3o$28b2o$28b2o2$10b2o8b2o$10b2o8b2o6$14b2o$14b2o!
and some 2-ship synthesis of this ship which might be useful:

Code: Select all

x = 99, y = 70, rule = B3aei4cejnq5ceq6ci7c/S2ce3-kqy4ejkqrtz5ein6-an78
4$18bo$18b2o26bo14bo$18bobo23b2o14bobo$19bo25b3o13b3o11bo$18bo27bo13bo
13b2o2bo$17b2o25bo14b2o12bobobobo$16bobo24b2o13bobo13bo3b3o$17bo24bobo
14bo$43bo6$18bo29bo$17b2obo25b2o$18b2o24bo2b3o$16bo2bo23b2o3bo$15b2o
25bobo19bo15b3o$14bobo26bo18bob2o11bobobo$15bo45b2obobo9b2o2bo$60bobo
2bo9bobo$61bo14bo6$18bo24bo2bo$16b2o24b2o2b2o$17b3o21bobo2bobo$18bo23b
o4bo$15b3o44bo2bo11bo3bo$16bobo42b2obobo9b2ob2o$17bo42bobob2o9bobo2b3o
$61bo2bo11bo4bo5$6bo18bo$5bobo17b2o$4b3o18bobo$18b2o6bo$18b2o3$61bo2bo
12bo2bo$60b2obobo10b2ob2obo$23b2o34bobo2b3o8bobo2b2o$23b2o35bo15bo4bo
4$19b2o$19b2o5$61bo2b3o$60b2obobo$59bobo2bo$60bo!
And two conduit elements for an X (better say +), they a gun and an oscillator:

Code: Select all

x = 102, y = 37, rule = B3aei4cejnq5ceq6ci7c/S2ce3-kqy4ejkqrtz5ein6-an78
4$9b2o$9b2o3$31b2o29b2o$31b2o29b2o2$88b2o$88b2o3$62bo$36b2o19b2o2b3o
28b2o$10bo25b2o19b2o3bo29b2o$4b2o3b3o$4b2o4bo2$61b2o$61b2o2$87b2o$87b
2o$9b2o$9b2o!
I checked slow salvo synthesis. Essentially every pattern could be constructed if we can shoot

Code: Select all

x = 12, y = 21, rule = B3aei4cejnq5ceq6ci7c/S2ce3-kqy4ejkqrtz5ein6-an78
4$6b2o$6bobo$7bo6$7bo$6b2o$5bobo$6bo!
or

Code: Select all

x = 18, y = 40, rule = B3aei4cejnq5ceq6ci7c/S2ce3-kqy4ejkqrtz5ein6-an78
4$6bo$4bob2o$4b5o$4bob2o$6bo6$4bo2bo$5b4o$4bo2bo!
However, getting fire commands would be quite tricky, esp. as the min. repeat time of the currently known best splitter is 40 and quite high (still better than the best in B3/S23). If we find pull/push and fire commands, we could create the first orthogonoid in a non-apgsearchable rule.

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Re: Rules with interesting dynamics

Post by Gamedziner » May 15th, 2019, 7:42 am

Code: Select all

x = 11, y = 7, rule = B3aei4cejnq5ceq6ci7c/S2ce3-kqy4ejkqrtz5ein6-an78
5bo$4b3o$3b5o$2b7o$b9o$3ob3ob3o$3bobobo!

Code: Select all

x = 81, y = 96, rule = LifeHistory
58.2A$58.2A3$59.2A17.2A$59.2A17.2A3$79.2A$79.2A2$57.A$56.A$56.3A4$27.
A$27.A.A$27.2A21$3.2A$3.2A2.2A$7.2A18$7.2A$7.2A2.2A$11.2A11$2A$2A2.2A
$4.2A18$4.2A$4.2A2.2A$8.2A!

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2718281828
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Re: Rules with interesting dynamics

Post by 2718281828 » May 17th, 2019, 4:04 pm

Is this stable?

Code: Select all

x = 3, y = 3, rule = B2cen3j4cnqt5aekny6ac7e8/S01c2-an3-ak4crt5aejnr6c7e
o$bo$2bo!
This rule has an interesting 3-cellship:

Code: Select all

x = 3, y = 4, rule = B2cen3j4cnqt5aekny6ac7e8/S01c2-an3-ak4crt5aejnr6c7e
obo3$bo!
which has this funny state:

Code: Select all

x = 7, y = 7, rule = B2cen3j4cnqt5aekny6ac7e8/S01c2-an3-ak4crt5aejnr6c7e
7o$7o$7o$7o$7o$3ob3o$7o!

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Moosey
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Re: Rules with interesting dynamics

Post by Moosey » May 28th, 2019, 11:11 am

Just wow.

Code: Select all

x = 55, y = 33, rule = B2i34cetyz5acjk6ain7c8/S2-i3-a4-ajkw6in8
o$3bo$2b2o$2b2o$2b2o$3bo$o15$52bo$52b2o$53b2o$52b2o6$3o$obo$3o!
I’d call this rule supernovae— that’s what the common p300 oscillator looks like.
Hard to believe it’s completely unrelated to suns and is not explosive.

It probably has a very large amount of natural ships:
Here’s a 2c/47d which should be called kneading— it’s sorta stretching a loaf

Code: Select all

x = 5, y = 5, rule = B2i34cetyz5acjk6ain7c8/S2-i3-a4-ajkw6in8
2bo$4o$ob3o$o2bo$b3o!
[[ TRACK -2/47 2/47 ]]
Also

Code: Select all

x = 3, y = 5, rule = B2i34cetyz5acjk6ain7c8/S2-i3-a4-ajkw6in8
bo$2o$obo$3o$b2o!
If there is a large amount of natural ships, then virtually all of them will be “sparks” that recreate themselves via a reaction between common objects— a few sparks look like spaceships until they die, so it’s probable that there are a lot of ships which are so chaotic that they regenerate.
Last edited by Moosey on May 28th, 2019, 12:03 pm, edited 1 time in total.
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My CA rules can be found here

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Gustone
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Re: Rules with interesting dynamics

Post by Gustone » May 28th, 2019, 11:43 am

????

Code: Select all

x = 3, y = 3, rule = B2i34cejtw5ciqy6-ik7c8/S2-i3-a4ceinqty5-ijnq6in78
bo$obo$bo!
Extremely common in soaps.
I like making color palettes for rules

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Moosey
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Re: Rules with interesting dynamics

Post by Moosey » May 28th, 2019, 12:00 pm

Gustone wrote:????

Code: Select all

x = 3, y = 3, rule = B2i34cejtw5ciqy6-ik7c8/S2-i3-a4ceinqty5-ijnq6in78
bo$obo$bo!
Extremely common in soups.
Of course it is— had you copied the rulestring correctly, it’s (a predecessor for) that oscillator.

I’m assuming you would’ve provided more post if you were talking about a different rule.
I am a prolific creator of many rather pathetic googological functions

My CA rules can be found here

Also, the tree game
Bill Watterson once wrote: "How do soldiers killing each other solve the world's problems?"

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Gustone
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Re: Rules with interesting dynamics

Post by Gustone » May 28th, 2019, 3:02 pm

Moosey wrote:
Gustone wrote:????

Code: Select all

x = 3, y = 3, rule = B2i34cejtw5ciqy6-ik7c8/S2-i3-a4ceinqty5-ijnq6in78
bo$obo$bo!
Extremely common in soups.
Of course it is— had you copied the rulestring correctly, it’s (a predecessor for) that oscillator.

I’m assuming you would’ve provided more post if you were talking about a different rule.
It is just a concidence. In my rule it is a almost-p419 that dies in 471 gens.
Also

Code: Select all

x = 11, y = 7, rule = B34ky5e678/S2-kn35i678
3bo$2bo4bobo$b10o$11o$b10o$2bo2bo2bobo$3b3o!
it reminds me of star wars
I like making color palettes for rules

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Extrementhusiast
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Re: Rules with interesting dynamics

Post by Extrementhusiast » May 31st, 2019, 6:57 pm

B01c2-i3-cqr4-ajkqt5cjnry6kn7e8/S1c5e produces a texture of random irregular tiles composed of curves and cusps. However, there is a frequently-occurring pattern within the tiles that pushes an orthogonal line of dots at O(sqrt(t)). When two or more of these dot pushers interact, more tiles and dot pushers can form.
I Like My Heisenburps! (and others)

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Re: Rules with interesting dynamics

Post by phdanielli » June 10th, 2019, 7:18 am

Symmetristic Rule: [B2-ak3-jnqr4ceiqtwz5-jnqr6-ak/S2-ak3-jnqr4ceiqtwz5-jnqr6-ak]
http://www.conwaylife.com/forums/viewto ... 429#p77429
Everything that is interesting has to be symmetrical in some way, be it rotationally flipped as it oscillates, the unit itself being reflectionally symmetrical, or both rotational and reflectional at the same time. Not sure but so far I do not see anything interesting that is non-symmetrical here.
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Re: Rules with interesting dynamics

Post by Hunting » June 10th, 2019, 7:22 am

I think it is one of the borderline rules... or something like this.

Code: Select all

x = 16, y = 12, rule = B2ein3eijq4-nqrt5-aeik6an8/S2-an3-cinr4-a5eknqr6a7e
3$3b2o4b2o$4bo4bo$4b6o!
Credit: Simsim314(Michael Simkin)
This post was brought to you by the Element of Magic.

Plz correct my grammar mistakes. I'm still studying English.

Working on:

Nothing.

Favorite gun ever:

Code: Select all

#C Favorite Gun. Found by me.
x = 4, y = 6, rule = B2e3i4at/S1c23cijn4a
o2bo$4o3$4o$o2bo!

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testitemqlstudop
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Re: Rules with interesting dynamics

Post by testitemqlstudop » June 11th, 2019, 9:42 am

Can someone LITERALLY COMMENT on this rule and not ignore it like EVERY ONE OF MY RULES

b2e3eij4aks1c2-an3an5i

2c/8 as most common spaceship:

Code: Select all

x = 2, y = 4, rule = B2e3eij4ak/S1c2-an3an5i
o$bo$bo$bo!
Puffer engine:

Code: Select all

x = 7, y = 5, rule = B2e3eij4ak/S1c2-an3an5i
4b2o$6bo$4bobo$6bo$4b2o!
a la

Code: Select all

x = 16, y = 16, rule = B2e3eij4ak/S1c2-an3an5i
obobob7obo$3b3ob5o$2o2b2o4bo2b2o$3o2b6obobo$2o3b3ob2o2bo$3obo5b2o2b2o$
o4b3o4b3o$bo2b2obo2bo2bo$b7o3bobobo$ob2obo2b2o2bobo$ob2o11bo$4bob2o2b
2o2bo$4o2b6obo$b2obob5o3bo$2ob2o2bo6bo$bobo2b2o2b2o2bo!
Common xp9 sparkier than MLP, used as knightwise puffer engine:

Code: Select all

x = 5, y = 5, rule = B2e3eij4ak/S1c2-an3an5i
b3o$obobo$2ob2o$obobo$b3o!
a la

Code: Select all

x = 4, y = 5, rule = B2e3eij4ak/S1c2-an3an5i
2b2o$bo$o2bo$obo$3o!

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2718281828
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Re: Rules with interesting dynamics

Post by 2718281828 » June 11th, 2019, 4:37 pm

A B2a rule with some nice features:

Code: Select all

x = 40, y = 32, rule = B2a3jr4eyz5cn6ac7e/S1c2cei3ciy4-cjqwz5aejry6aek7c
3$16bo2$16b2o6$6bo21bo$7bo19bo2$16bo2$16b2o$35bo$36bo$15bobo11bo$16b3o
9bo$15bobo4$7bo$8bobo$8bobo$7bo3bo!
It is a stable rule, in the sense that in a box a random soup settles down:

Code: Select all

x = 59, y = 56, rule = B2a3jr4eyz5cn6ac7e/S1c2cei3ciy4-cjqwz5aejry6aek7c
6$6bo43bo$5b47o$6bo43bo$6bo10b3o2bobob4ob2ob3ob4obob2obobo$6bob2obob2o
b6o2b3obo6bo2bo2b2ob2ob2obo$6bo3bo4b2ob5o3b4o3bo2bob2ob5o4bo$6bobo4b2o
4bob3o4b2o4b3o3b2ob6obo$6bo3bobob2ob2obo2bo2bob3o3b3obo2bobobob2obo$6b
o2b2ob3o2bo3bo3bob6o4b3o2b3o5bo$6bo2b2o2b7obo4b3obob3o4bo4b3o3bo$6bo2b
ob3ob3obob2o5b2o4bo4b2ob2o4bobo$6bo2b5ob2o2b2ob2o2b2o2b3o2bob2obo2b3o
2bobo$6bobo3b4ob2ob3o3b3ob2o3b3ob2o2b2ob2o2bo$6bo2bo3bo2b2o2bo3b2obob
3o2b2ob2obobobo5bo$6bobo4bob3obo2bobo2bo2b2o2b3obob4o2b3obo$6bo2b2obo
2b2o2bobobo3b2ob6obo2b4o4bobo$6bo3bo5b2obo3b6obo2b2o4bo5bob2obo$6bob5o
3bob2o2bobobo3bo4b2o2b2o2bo3bo2bo$6bo2bobo7b4o5bobob4o2bob4ob3o2bo$6bo
13b4ob2o4b2ob2o4bobo3bobobo$6bobob2obobob2obob2o3b4obo6b2o2b2ob2o2bo$
6bobo4bo4b2ob4ob3obo2bo2b6obob2obobo$6bobo6b4obob4obob4o2bobo5bob4obo$
6bobobo4bo2bo2bobob3ob6ob2obo2b3o3bobo$6bo2bo2bob2o2b6o2bo2bobo3b4o3b
4ob2obo$6bo3bo2b2ob2o5bob2o2bo2bobo4b3o3bo2bobo$6bo4bo6b5o2bo4b9o4bo3b
o2bo$6bo7bo4bobo3bob2o2b2ob2obo3b2o3b3obo$6bob3obo8b3o3bo4b3o2bob2ob7o
bo$6bo2bob3ob6o3b2o3b2obob3obo4b3o2bobo$6bobo2b2obob5obo4bobo4b2o3b2o
6bo2bo$6bobo3b2obob3o3b3o2b3ob6ob2ob2ob2o3bo$6bobo6bo4bo3bo4bo5bob2obo
bo2bo2bobo$6bobo2b2obo3b3o4b4ob2o2bo3bobo2b2ob3obo$6bo2bo2b4ob2obobo3b
2o2bob2o3bob2ob5obobo$6bobo3b2o2b2obo2bob2o2b3o2bo2bobob2obo3b2obo$6bo
b2obob3ob3o3bo2b2o3b2ob4obob2o2b4obo$6bobob2o2b2o3b2o2bob2obobob2o3b2o
2b3o2bobobo$6bo6b4o8b2o3b2obo3b2o3bo2b2o3bo$6bo4b3obo3b3ob2ob2obobobo
4bo8bo2bo$6bob3ob2obo2b3obob2o3b3o4b6o2b4o2bo$6bo2bobobob2ob4o2b3o5b3o
bo4b2obo2bo2bo$6bo2b2o2b2ob3o5b3o5b2ob2o2bob4ob2o2bo$6bo2b5ob2o3b3obo
2b3obobo2bo3b8o2bo$6bo43bo$5b47o$6bo43bo!

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2718281828
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Re: Rules with interesting dynamics

Post by 2718281828 » June 11th, 2019, 4:53 pm

testitemqlstudop wrote:Can someone LITERALLY COMMENT on this rule and not ignore it like EVERY ONE OF MY RULES
Moving objects:

Code: Select all

x = 94, y = 22, rule = B2e3eij4ak/S1c2-an3an5i
4$8bo16bo18bo42bo$6b2ob2o12b2ob2o14b2ob2o41bo$6bo3bo12bo3bo14bo3bo42bo
$2b3o7b3o4b3o7b3o6b3o7b3o8bo25b2o$2bo2bo5bo2bo3bobobo5bobobo4bobobo5bo
bobo5b2ob2o9b3o11b2o$4bo7bo9bo5bo12bo5bo9bo3bo8bo$22bo5bo12bo5bo$7bobo
11bo7bo10bo3bo3bo38b2o$6bo3bo31b2ob2o40b2o$22b2o3b2o9bo3bo3bo3bo$22b2o
3b2o7b2ob2o7b2ob2o$6b2ob2o25bo3bobo3bobo3bo$6b2ob2o11b2o3b2o13b2ob2o$
22b2o3b2o15bo2$6b2ob2o$6b2ob2o!
and an illustraton that it is possible to delete a block.

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Re: Rules with interesting dynamics

Post by Gamedziner » June 12th, 2019, 8:46 am

p15:

Code: Select all

x = 4, y = 5, rule = B2e3eij4ak/S1c2-an3an5i
4b2o$4b2o2$3o4bo$3o$9b2o$9b2o$6b2o$5bobo$5b2o2$2b2o3b2o$2b2o3b2o!

Code: Select all

x = 81, y = 96, rule = LifeHistory
58.2A$58.2A3$59.2A17.2A$59.2A17.2A3$79.2A$79.2A2$57.A$56.A$56.3A4$27.
A$27.A.A$27.2A21$3.2A$3.2A2.2A$7.2A18$7.2A$7.2A2.2A$11.2A11$2A$2A2.2A
$4.2A18$4.2A$4.2A2.2A$8.2A!

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testitemqlstudop
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Re: Rules with interesting dynamics

Post by testitemqlstudop » June 12th, 2019, 9:03 am

The block's destructibility comes from b4k:

Code: Select all

x = 5, y = 9, rule = B2e3eij4a/S1c2-an3an5i
2bo$3bo$4bo$2o$2o3$2b2o$2b2o!
EDIT: Gee, natural breeder:

Code: Select all

x = 16, y = 16, rule = B2e3eij4a/S1c2-an3an5i
bo3b2ob2ob5o$4bo2bo$2b6o2bobo$bo2b3o3bo2bo$ob2o4b2o3bo$2bobo4bobo3bo$
4b2o2b3ob2o$bob4ob4ob3o$3b2obobo3bob2o$o2bo3b5o3bo$ob5o3bobo2bo$bo2bob
ob3ob2obo$bo2b2ob4obobo$obo3bo4b3o$ob3o4bobo3bo$o2bob2o3bob2o!

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Moosey
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Re: Rules with interesting dynamics

Post by Moosey » June 12th, 2019, 11:09 am

New(?) SS

Code: Select all

x = 3, y = 11, rule = B2e3eij4ak/S1c2-an3an5i
b2o$bo$o$o$2o2$2o$o$o$bo$b2o!
Are there any nonexplosive relatives supporting puffers but allow for easier block deletion?

EDIT:

Code: Select all

x = 5, y = 10, rule = B2e3eij4ak5r/S1c2-an3an5i
2b2o$2b2o4$b3o$obobo$2ob2o$obobo$b3o!
I guess this close relative works.
It has a few higher period oscillators based on the above mechanism.


EDIT:
Here’s one with a natural puffer

Code: Select all

x = 32, y = 28, rule = B2e3eij4aky/S1c2-an3an5i
12b2o11b2o$12b2o11b2o$4b2o$4b2o$b2o$b2o$15b2o$15b2o9bo$b2o21b2ob2o$b2o
18b2obo3bo$12b2o7b2o2bob3o$7b2o3b2o14b2o$7b2o20bo$3b2o19bo3bo$3b2o21bo
$26b2o$2o20b3o$2o19bo7b2o$9b2o10bo4b2obobo$9b2o9bo4bo4b2o$3b2o16bo$3b
2o16b2o6b2o$23bo2bobobo$27b3o3$2o11b2o$2o11b2o!
I am a prolific creator of many rather pathetic googological functions

My CA rules can be found here

Also, the tree game
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Re: Rules with interesting dynamics

Post by googoIpIex » June 16th, 2019, 6:23 pm

a explosive b2a with diagonal replicators:

Code: Select all

x = 48, y = 46, rule = B2ac/S01e
4$11b3o$10bo$10bo2bo28b3o$10bobo29bo$9bo32bo$45bo$9bo2$5bo2$34b3o$34bo
$bo32bo$37bo$30b3o$30bo$30bo$33bo5$22b3o$22bo$22bo$25bo$18b3o$18bo$18b
o$21bo5$10b3o$10bo$10bo$13bo!
woomy on a vroomy

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LaundryPizza03
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Re: Rules with interesting dynamics

Post by LaundryPizza03 » June 16th, 2019, 7:28 pm

An exploding rule with an unusual pattern of escaping gliders:

Code: Select all

x = 64, y = 64, rule = B3-c/S2-c3-k4iz
b2obobob2obo2b5o2bo5b5ob3o3bo2b2obo2bob2obob2o3b3o$3bobo2b3ob4o3bob2ob
obo2b8obo5b5o2bobo3b4ob2o$2bob2o2bo4bobo3b2ob2o7bo2b2ob3ob3o2b4o2b3o2b
2o3b2o$3bo3bobo4b2o2b2ob2o2b2o2bo2bo8b2obo2bo2b2o4b4ob2o$b2ob3obob3ob
2ob2ob5ob2ob3o4bo2b2ob3o2b2obob3ob2o2b4o$o2b3o2bo2bo2bo2b4ob2o2bobob2o
bobo3bobob2obob2o2b5obob3o$bo2bo4b3o3bobo4b3o3b2o3bo4b5ob2o2bo2bob2obo
3bo2bo$4obo5b5o2b3o2bo2bo2bo2b2o3bobo4b2o2b4o2b3ob3o$2ob7o4b2o2bo2bobo
3b2ob5obob2o5b2ob5obo2bo3b3o$2o3bob6obo2bo2b7obob2ob2obobob4obo6bo2bob
ob3obo$o2b4ob3ob2ob2ob2ob2o4b4obob2o2bob2o2bob3o10bo2bo$b4obobo2b4obob
2obobobo2bobo2b3obo2bo6b4obo5b2o$2bo7bo3bo2bo3b3o2b3o4bobobob2o7b2o2bo
2b3o2b3o$2obobo2bo3bo3b3obob3o2bo4bobo3b2o4b2o4bo2b3o3b2obo$5obo2b2o2b
obobo5bo2bobo2bo3b4o3bo3bobobob2ob2obob2o$b6o4bob3obo2bob2ob2obobo3b2o
bo4b2o7bob2o2b2o$2obo4b3obo2bob4obo3bo3bob2o2bo2bo4b3obob7ob2o2bo$2bo
4bobob3o3b5obob2o3bo3bobo2bo3bobo3b4o2bo6b2o$obo2b2o3b3obob4o3bo2b4o3b
2o2b2o4bo6b2ob2o2bob3o$3o2b2obo4b2ob2o2b2obo3b2obob2o2bob2obob2o5b2ob
3o2bo2bobo$6b4obo3bo2b2obob2o4b2obob3o2b2o3bob2o4b2o2b2o3bobo$bob2obo
3bobo2bo5b2obo7bo2bo2b5obo3b3obobo3b3o$2ob4o2bo3bo3bobobo3bob4ob2ob3o
3bo3b2obob3o7bob2o$5bo2bo4bo5b2o2bobo2bo2b3obob4o2bob2o3b3o2b4o3b2o$5b
o3bobob2ob3obo2b6ob2ob2o4b2o5bo2bo2bo7bo$obo3bo2b2o2b4obo3bobo4b2o2b2o
2bob2obob3ob6ob2o2b4o$5b4ob2o2bob3ob2o2bo2bob2obo6bobob2obobo4b5o2b4o$
2b2ob2o2bob2ob2obob4obo2b4obo2bobob4o3bobo3bo2bob2obo2bo$3ob3o3bo3bobo
6b2ob3obob4obobob4o2bo2b4ob2obo2bo$2b3ob2o4b2o3b2obob2o6b3obo2bo2b2ob
2obo2b2o2b7obobo$2bo2bob2obob2obob2o3b2obo4b3ob2o2bo2b2o2b3o2b2o3bo2b
2obobo$2b4o2b2obobo3bob6o5b2ob3obo4bo4b2obobo4b2o2bobo$o4b3obobob6o3b
2o2bo2b2o5bob2o4bo4bob7ob4o$b2o2bob7ob2obob2ob3o2b2obobo3b4obo2b2o2b2o
bob2ob7o$o5bo2bob2o3b3o2bo3b5ob2ob2ob2o3bo4bo2b3o2bo3bob2o$bo2bobo6bob
3ob5ob3obo2b3o2b2o2b2o3bo2b2o2bo2bo2b2o$obobo3bobobob5o2bob3ob4obobob
2o2bo2b4obo2b9ob2o$3bo4b3ob5ob2o3b3ob8obob3obob2ob2o2b2ob3ob5o$bo2b2ob
o2bo3bo2b2o3bo2b3ob4ob7o3bobo4b2obo2bob3obo$4o7bobob2o2b2o3bob2o2bo2b
3ob2o5bobob3o4b2o3bo2bo$5o4b2ob4o10bobob2ob2o3b2obo2b7ob2ob5ob2o$2bo3b
obob2o3bobo2bob3o4bo3b3o4b2obo4bo5b2o6bo$3b4o2bo3b3obobo6bobo4bobo2bob
ob7obo2bob3obo2b2o$2b3ob5ob3o2b2o2bob3o2b3o2bo2bo4b6o6b6o3bo$5bob6obob
obo3bo2bobo2b3obo3bob2ob2ob2obo2b4obob4o$2ob2obobo3b2obob2o7b2ob3ob2ob
o2bo2b2o2b3o4b2o5bobo$obo3b2ob4o2bob2o2b2ob3obobob4o4b5o8b3obob5o$2bo
3bo3b2ob3o2bo4bob3obo2bobobob2o2b2o2b5obobobob2o2b2o$o3bo4bob2ob2obo2b
3o3b3obo2b4ob3o3b3obobo2b2obob3o$o2bob2ob2o2b2o4b2ob2o3bob2ob2o2bo2bo
2bo5b2obobob2obo4b2o$6o2bo2bobobo3bo2b3o2bob4ob2obo3b7obo2bob2obob2o2b
o$bobobob2o3bobobo2bob4obob2ob3o5b2o2b2o3b3ob2ob5o$2bobo3b7o2bobob3o2b
3ob2o2b2ob2o4bob5o3bob3o3bobo$bobobobo2b3o3b3o5bo3b2obo2b7ob3ob4o3b6ob
2obo$o2b2o3bobo2b4o7b3o5b3obo2bo2b4o2bo4b3ob7o$o5bobobob2obo2bob2ob2ob
o2b2o8b2ob2o3bobo5b2o3b4o$bob2ob3obob2ob3obo2b3ob2o2b5obobo5bob4obo3bo
3bobobo$o3b4obobob2o3b3o4bob2o2bob3obob2obob4o2bob2obo2b2ob3o$o4b2obob
2obo6bo2bo2b2ob2ob4o6bob2o4bobo3b4o2bo$3b3o2b3o3bo3bo8b2ob2o3bob2ob4ob
4ob4o2bo2bo3bo$bobobo5b6ob3o2b2o3bob2o7b3obo2b4o3bo4bobo$2o3bo3b2ob7o
3b3o2b2obobo3bobob3obob2obob2o5b3obo$obob2o3b2obo4b2o2bob4o2bo4bob2o3b
4ob2obo2bo3bo2b2ob2o$bo4b3o2b2obobob2obo4bo2bo2b3obo2bob2ob3o4b2obo2b
4obo!
It's caused by a common 34c/140 orthogonal puffer that evolves from the B-heptomino.

Code: Select all

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

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Hdjensofjfnen
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Re: Rules with interesting dynamics

Post by Hdjensofjfnen » June 18th, 2019, 2:20 pm

B3/S2-i3-a4iy has numerous examples of rakes that interact with one another to create chaos and order:

Code: Select all

x = 64, y = 64, rule = B3/S2-i3-a4iy
b2ob3obobobo2bobo2b3ob5o3bo2b5o2bobob5o3b6o2bo$3o5bo4b5o2b4o2bo2bo2bob
4ob2o3bo3b5ob3o2bob3o$2bo4b2ob2obo2bo3b5obob3o4b3obob2ob4o3b4o3bobob2o
$b2o2bob2ob2o2bo2bo2bo5bob2o4bobo2b2o4b2obobob3o2b7o$4ob2o2bo3bob3o3bo
bo2b2ob2o2b3o3b2o3bo3bo2b2ob2o6b2o$o5b4ob2o2b2ob10obobobob2obobo2b3obo
5bobo6b2o$4ob2ob2ob3o5b2ob5ob2o4bob2o4b2ob7o2bo3b2obo$3bo2bo2b7obo2bo
3bo4b2ob2obobob5ob2obob9obobo$b5o2b4ob2ob5o3bo3b2obob5o2b2o2b4obob3o3b
o2bob2o$2o3bob2ob5o2b4o2b6o2b4o9b3obo2b4o6bo$ob2obo2b2obo2b2obo2bobo3b
o2bob6o2bob2obo2bobobo3b3o3bo$b2o2bo2bob2ob2obobo2b4o6b2o2b5o2b3obobo
2b5o6bo$4bo7bo2bobob4obob2o2b3o3bob2o3b2o2bo3bob2o3b4obo$2o2bobob2ob2o
2bo2bobo4bo5b4o2bobob3o2bo3b3ob2obob2obo$o4b3obobobo2b3ob4ob3o2b2obo4b
o4bo4bob3o2b4o2bobo$obo3bob2o3b5o3b2obobob2o4b4o3b5ob4o4b2obo3b2o$5o5b
obo2bob2obo2bo3bobo2bo2b2ob2obo2b4o3b4o4bobobo$bo3b2o2bo5b3ob3ob3o2b2o
b4obob2obobob2o5bobobob3ob2o$bo3bo2b2o2bob6o2b5obo2b2obob2obobobob3ob
2o2b2o4b2o$o2bo2b7ob2o2b3ob4ob5ob2o6bo3bo4b3obob4o3bo$4bo4bob4obob2o3b
obobob2ob2o2b6ob2o5bo2b2o6bo$2ob2o2bo3bo2b2obob2obobo2b2o3b3o2b2o2bo4b
o2b3ob3ob2o2b2o$4ob3o2b4ob3obob5ob2o2bob3o3bob2o2b2obo2bobob3ob4o$ob2o
b3obobo6b2ob2obo2b2ob2ob4ob5ob6obo3bobobobobo$bo3b3ob4ob2o3bobo2bo2b5o
bo5bob3obo3bob5obo2bo$2o6b4ob2ob2o2bo2b2obo3bo2b2o3bo2bo2bo2b6ob3o3b2o
$2obo5b2o2b6o4b8o4b3obo2bobobo4b2ob3o3b2obo$bob3ob2obob2o3b3ob2obobo3b
2o4bo2bob3ob2ob2obo2bobo2bobobo$o2b2o2b4ob4o2b2o2bo2bob2ob2ob4obob2o2b
o2b3ob2o2b6o2bo$2bo2bo2bo2bobobobobo3b2ob3o3bob2obo7b2obob2o4bob4obo$b
ob2obo3bo2bo3bobo3bob3o2bobobob4ob3o4bo2b3o3bo4b2o$o2b4ob2o2b5o3b2o2bo
2bo2bobobobo2bobo4bo2b4obo2b2ob4o$b2ob2o2bo2bobob2o3bo2bobob4ob9obo4b
2obo3b2ob2o3b2o$o2bob2ob2obo2bobo4b2o2bo5b2ob2o2b2o3b3o2bo2b3obo3b5o$
2o2b4o2bo4bo4b3o2bob2o4b2o2b3o3bob2obobob2o2bob2o3bo$3o3b6o2b3obo3bob
3o2bo4b3obo9b2ob4o3bobobo$bob4obob3obo2bo4bo7b2o2bob3obobob2ob3o3bob2o
b2o3bo$3obo2bo3b2o2bob2o2b2o2b2o3b5obob2ob2ob3ob2obobob9o$2bo2bo2b3o2b
3o2bob2obobo9bobob2obob2obo3bo2b3o2bo$bo3b8obo2bo8bob6o4b2o2b4o2b4obob
2o4bo$b3ob3obo5b3o3b3o8b4obobo3bo2bo6bo3b4o$2obo5b4obo2b3o2b2obo2b3ob
3ob3ob7obob3ob2o6b2o$obo9b7obobo2bo2bo3bo2b2ob4ob6o4b3obobobobo$obo2bo
2b2ob6o3bo2bo2b8o2b2ob2obo2bo2bob2o2b2o2bob2o$13o2b2obo4bo2b2ob3ob2o3b
2o4bo7b2o4b3o2bo$b2o4bo3bobobobo2bob3ob2o3bo2b2obo2bo5bo2b2o2bob2obo2b
3o$b4obo3bob5o2bobob5ob3o2b2o2b2o2b3ob2ob2obo4bo2b3o$ob7o3bobobobobob
3o3bo4b4o3b4o2bobo2bo3bo2bo2bobo$bob3ob3ob2obob2obob3ob3ob3ob2ob4o3b2o
bob2obo3bo2b2o3bo$2o3b4o3b2o3bo6b2obob2ob3obob2o2bobob4o2b3o2b2ob2obo$
ob2o3b2obobobobob3ob3o2bobob5ob4o3bob5o3bo2bobob2o$4bob2o3bo5b2o2b3o2b
obo3b2o2b4obo3b2ob4obobobob2ob2o$obo3b2o2bobo2b2o2b2ob3ob2ob4obo6bo2b
2ob2o3bob2obob4o$o2b4o2b4obob2obo3bobo5b2ob2o2b3ob4obo3b2obobob5o$bo2b
o2b4o4b3ob3obobob3ob2o7b2o2bob2obobo2b3o3b2obo$bo2b4o3b4o2bo4bobo3b3o
2b7o3bo3bo2b2obo2bo3b2obo$o2bobobo3b2ob2obo2b4o4b7obobob6o2bobo2bo2b3o
bob2o$bobo3bo3bo3b2o4bo2b2o2bob3o2b2ob2o2b4ob6o3bob2o2b2o$bobo2b2o2bob
3obobo2b4ob2ob4ob2o6bo2b3o4b3o3bob4o$8ob3o2b2o3bob2ob2o6b2ob4ob4o2b4o
2bo4b6o$2o2b3o2bo2bob4o2b4ob3o4bo2bobob3obob3obo2b3o2bob3obo$ob5o3bob
2o3bo2b6ob2o3b3obo6bob2o3bo4b2o2b3o$bobo3bo3bobobo2bobo2bob2ob3obobob
2o2bo2bo3bo2bo4bo2b5o$2obobo4b2obo7b5o2bobo2bo7b4obobo4bobob5obo!

Code: Select all

x = 64, y = 64, rule = B3/S2-i3-a4iy
3bobobo2bob2o3bob2o3b6o4b3o2b2ob2obobob2ob2obo2bobobo$4b2o2b2ob2ob4obo
2b2o3b3ob2o2b4o3bo2bobob2ob4o2b3ob2o$bob2obo2b9ob2ob5ob6o2bobob2ob2o2b
obo3b4ob2ob2o$4o4b9ob2obo4bob2o2b3o3bo4bobo3b2o2bo3bo2bob2o$b8ob3o3b3o
3bo2bobo6b4ob2o4bo2b4o7b3obo$o4b3o2b2obo3bo2b4obobob2ob6ob2o2b2o4b2o2b
4o3b3o$2b2o6b2obob2obobo2b4o2b4o2b3obo6bo5b3ob2ob5o$b2o3bob2o2bo10b4o
2bo2b5o3b2ob3o2bobo6bo2bo$3o2b2ob3o4bo2bobo2b2ob2o2bo2bob5o2bob2obob2o
b3ob7o$2o2bo2b4o3b4o4bobo4bobob3o2b2o2b2o2bo2b4ob2obob5o$4obob5o5b3obo
bo2bobo2b4ob2o2bob3o2b3o2b3o3bo3bo$4ob2o3bo3bo3bob3o2bo2bobobob4ob3o4b
obob5o2bo3b3o$bo3bob2obob3obo2b5ob3o3bobo3bo2bo2bo3b2o2b2ob3o3b2obo$o
2b2o2b2ob2o3b2ob3o3bobob2o2bobo4bo4b3o4bob2o5bo2bo$bo2b2obo2b3o3b4ob4o
bob4o2b2o3bo3bob2obobo2b3obobo3bo$3b2ob2o5bob3ob2obo7b2o2bo3b4o3bob4ob
2o2bobo2b3o$2obo2b2o5b3o4b2o5bob4ob2o2bo7bobobobo2b3obobo$5bob3o4bo8b
2o5b2o4b2ob3ob2obo4bo6bobobo$ob3obobobob3o4bo5bo2bob2ob2o2b2ob3o8bo3bo
3b3obo$2o3b3o2bo3b2obobo8b3ob6ob4o2bobobo2b5obo$bo2bo2bobo2b2ob3o10bob
o2bobobo2bobobobob3ob3ob2o4bo$3b3o2b4o2bobo5bo3bobo3b2obobo3bobobo2bob
2obo4bobo2bo$4bob2o4bo2bo2bobob3o2b2o2b3ob4ob3o3bob2o4b4obobo$6o3b2o3b
2o3bob2o7b2ob2ob3obo3b2obo2bobo2b2o2bob3o$o4b2o2bo2b5o3b2ob2o2b2o2bo2b
o2bobo2b2o2b2o4b5o2b3obo$bo3bo6bob4ob2o2bo2b2o2bo5bob3obo3b3ob5ob2ob2o
$2o2bobob7ob5obob4o3bo7b3o4bo2b4obo2b2obobo$o3b3ob2o2b4obob2o4b2o2b4o
2b2o2bo7bo2b3o2bo2bo2b2o$4bo5b3ob4ob7obo7bob2o2bobo2bo3b3o3bobobo$bobo
b4o6bo3bo2bobob4o3bobo2b2obo7bo4b2o2b2ob3o$bo3bo2b3obobob6ob2o2bob9ob
2o2bo2b4obob3o3b2o$ob2o6bo3b3o3b2o2b3obo2bo2b2ob4o2b2ob4o2b5ob2obo$ob
2obob2o3b2o2bobo3bob2o4bo4bob4o2b3o3bo2bobob4ob2o$b3o2bo2bo2b2ob2o2bo
2bobobo3b2ob2ob3o3bobob7o2b2o2bobo$2bob4o2bob3obo2b2ob3o2bobob3o2bo3bo
bo5bobo3bo2bo3b2o$bobo2bo2b2o4b3ob2o3bobobo2b2o2b2ob3o3b3obob3obob2ob
2o$2o3b2ob3obob2o3b10o3b2obo2bo2bo2b4o2b2ob3o5b2o$3obobo3b2ob2o2bo2b2o
3b2o2bobobob6obo6b3ob3obo2b4o$bob2obobo6bo5bobobo4b2ob3obobob2ob4obobo
2b2obo3b2o$o2b2obo2b2o2bo2bobobobo2bo9bob2o3b2o2b6obo2b4obobo$3b2o3bob
o6bo3b2ob2o2b2ob2o3bo2bobobob4ob2obo3b3o3bo$o7bobob2o2bo3bo3bo2b2obobo
bo2b6o4b2o2bobob3obob3o$3ob3ob3ob2o3b3o2b5obobob2obo2bob2o2bob2o3b3o5b
4o$b11o2b2obo3b5obobo2b2o2bobob2o2b3ob2o3b2o3b4obo$2o6b2o4bobob3ob2obo
3bobobo3bo3bob3o2bobo3bo2b5obo$bo7b3obobo3b3o2bo2b4obobo2bo7b2o3bob2o
2b2ob2ob2o$2o2bobob2obob3o3bo2bo2bob2ob2o6b3o2b4o2bo4b2o3b2ob2o$2o2bob
2o2b3obo4b2ob4obo5b2ob2obo2b3o2bo2bob3ob2obo2b2o$o2bob2o2b3o2b2obo2b6o
bo2b4ob3o2b2o2b2o3b2o2b4o3b2o$5b2ob2ob4o2bobo3bob2o5bo2b2obob5o4bo4bob
o2b3o$o8b2o6b4ob2o5bo3b3o3bobo2bobo4bobo4b3o$3b4o3bo2bobo2b2o2bo2b3ob
2obob3ob3o3bo2b2o3bo2bobob2o2bo$2bo3bob3obo3b3ob3obobo3b2ob3o2b4o6bobo
5b3obo$obo2b5obobobobobo2bob2o2bo2bo2bob2o9bob2o3b2ob7o$3o4bob2ob4o8b
2ob3obo2b2ob3ob2o2bob4o4b2o2bob2o$5obo2bobobobob2obobo2bo2b3ob5ob2o9bo
bobo2b5o2bo$b3o3b2obobobob3o3b2o6b4o2b5ob3obo4bo2bob3o2bo$2bob3ob2obob
2o8bo2b4o4bob3obo3b3obo5bobo2b3obo$bo2bo6b3o3b3ob4o3bo2b4obobo5bo2b3ob
2o2bo2bobobo$b4o2bobobo4b2o8b4ob2ob4obo2b4o2bo3b3o3b2o2bo$bo2bo3bobo2b
5o2b4obo2bobo3bo4bob4o3bo5b2ob3o2b2o$bob2o3b3o5b3o2bo2bobob3obo2bob2ob
2o2b2ob2o5b3ob4o$3b2o4b4o3bobobobobo3bob2obobo6b2ob2ob2obobob3o3b2o$2b
4o4bobo2b13ob2o2bo5bob6o6bobo4bo2bo!
EDIT: A nearby rule showcases two conflagrations, a failedrep and a pi:

Code: Select all

x = 46, y = 4, rule = B3/S2-i3-a4ciqty
42b3o$2ob2o37bo2bo$o3bo37bo$b3o39bo!
"A man said to the universe:
'Sir, I exist!'
'However,' replied the universe,
'The fact has not created in me
A sense of obligation.'" -Stephen Crane

Code: Select all

x = 7, y = 5, rule = B3/S2-i3-y4i
4b3o$6bo$o3b3o$2o$bo!

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