Miscellaneous Discoveries in Other Cellular Automata

For discussion of other cellular automata.
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NimbleRogue
Posts: 757
Joined: January 11th, 2021, 11:48 pm

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by NimbleRogue »

splitterrules wrote: April 17th, 2025, 6:39 pm Failed Langton's ant:

Code: Select all

x = 3, y = 4, rule = B38/S2-i3-ak4eity6c
2bo$b3o$2obo!
This is incredible and deserves much more attention
Here is a cool ship in a rule based off of that

Code: Select all

x = 22, y = 87, rule = B2i34cj6ci8/S2-i3-ak4ceit5cekr6ein7
19bo$2bo15bobo$b2o16b2o$2o3b2o$b2o3b2obo2$9bo58$18b3o$17b2ob2o$16bobo$
15bobobo$14bobob2o$13b4o$14bo5bo$16b2o2bo$16bo2b2o$17bo$16bo2$14bobo$
13b2o3bo$13bo2bo$14bo2bo$18b2o$12bo2bo2bo$16b2o$16b2o$14bo2bo$15b3o$
16bo!
There you are
splitterrules
Posts: 106
Joined: April 11th, 2025, 6:11 pm

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by splitterrules »

(27,14)c/809 with same dynamics:

Code: Select all

x = 16, y = 14, rule = B3-k4ce5e6i/S2-i3-ak4eity6ei
3bo$b4o$o3bo$o2bo$3o7$14bo$13bobo$13b2o!
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confocaloid
Posts: 6697
Joined: February 8th, 2022, 3:15 pm
Location: learn to protect yourself against stray gliders and sparks and self-destruct mechanisms

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by confocaloid »

"The" p661 oscillator (from B356/S23), but the rules are tweaked so that a certain still-life from CGoL (made out of four ships) exists

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x = 97, y = 75, rule = R3,C0,S250-495,B375-493,625-770,776-867,NW190100000001190101010101010100017D7D7D010000017D007D010000017D7D7D01000101010101010119010000000119
90b2o3b2o$90bobobobo$91b2ob2o2$91b2ob2o$90bobobobo$90b2o3b2o6$28bo5bo$
26bob2o3b2obo$26b2obo3bob2o$25bo11bo22$3bo55bo$b2o57b2o$2bo57bo$2o59b
2o$b2o57b2o4$b2o57b2o$2o59b2o$2bo57bo$b2o57b2o$3bo55bo22$25bo11bo$26b
2obo3bob2o$26bob2o3b2obo$28bo5bo!
Two-state isotropic cellular automaton, defined using the following fully-symmetric weighted neighbourhood (the weights are given in hexadecimal, '19' means 25, '7D' means 125):

Code: Select all

19 01 -- -- -- 01 19
01 01 01 01 01 01 01
-- 01 7D 7D 7D 01 --
-- 01 7D -- 7D 01 --
-- 01 7D 7D 7D 01 --
01 01 01 01 01 01 01
19 01 -- -- -- 01 19
127:1 B3/S234c User:Confocal/R (isotropic CA, incomplete)
Unlikely events happen.
My silence does not imply agreement, nor indifference. If I disagreed with something in the past, then please do not construe my silence as something that could change that.
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LuveelVoom
Posts: 529
Joined: April 27th, 2022, 7:59 pm

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by LuveelVoom »

b-engine wrote: April 19th, 2025, 12:14 am
LuveelVoom wrote: April 18th, 2025, 6:52 pm B3ai457e/S2-a34n has a reaction where a tub evolves to a 24-bit still life resembling a circle.
A natural c/6 spaceship:

Code: Select all

x = 5, y = 5, rule = B3ai457e/S2-a34n
b3o$o2bo$o3bo$o2bo$b3o!
Known, this is the reason for b7e being in the rule.
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confocaloid
Posts: 6697
Joined: February 8th, 2022, 3:15 pm
Location: learn to protect yourself against stray gliders and sparks and self-destruct mechanisms

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by confocaloid »

whatislife wrote: April 19th, 2025, 1:49 am
confocaloid wrote: April 11th, 2025, 3:08 am Here is a potentially-interesting variant [...]
[...] p124 xq10_3r7 gun (with reduction to single-barrel glider gun) [...]

Code: Select all

x = 161, y = 166, rule = B2n3-cekq6i/S2-cn3-c4eqrz6i
Pseudo period 124 glider gun (the actual period of the mechanism is 744), canonical form: (edit: slightly reduced)

Code: Select all

#C [[ MAXGRIDSIZE 9 GRID THEME Catagolue ]]
x = 72, y = 57, rule = B2n3-cekq6i/S2-cn3-c4eqrz6i
2b2o66b2o$2bo67b2o$3o$o10bo2bo$11b3o$13bo$11b2o$10b2o$10bo24bobo$10b3o
3bo18bobo$11b2o21bo2bo$22bo11b2o$20b2o12b2o$15b2o2bobo$15b2ob2ob2o18b
3o$16b3o10b3o$27b2ob2o7b2ob2o$39b3o$27b3o2$35b2o$35b2o$33bo2bo12bobo$
22bo10bobo13bobo$23bo9bobo12bo2bo$21b3o24b2o$48b2o2$55b3o$43b3o$41b2ob
2o7b2ob2o$53b3o$41b3o2$49b2o$49b2o$41bo5bo2bo12bobo$41bo5bobo13bobo$
39b3o5bobo12bo2bo$62b2o$62b2o2$69b3o$57b3o$55b2ob2o7b2ob2o$67b3o$55b3o
2$63b2o$63b2o$61bo2bo$61bobo$61bobo2$53bo$2o52bo$2o50b3o!
This uses three instances of a p24 oscillator to cap one p124 barrel. A sufficiently edgy glider eater (either stable (p1) or periodic (p2 or p4)) could help to transform this into a smaller true period 124 glider gun.

The output glider stream can be capped by a Z-pentomino, or it can slowly push a biblock away from the glider gun, or it can quickly pull a block (transforming it into a pair of blocks and then transforming the pair of blocks into a block) towards the glider gun.

edit: here is a p60 oscillator from Catagolue:

Code: Select all

#C https://catagolue.hatsya.com/object/xp60_y273r0g6mzee288y780ooz06605y754gsszy4qo20mgozy8111/b2n3-cekq6is2-cn3-c4eqrz6i
#C https://catagolue.hatsya.com/attribute/xp60_y273r0g6mzee288y780ooz06605y754gsszy4qo20mgozy8111/b2n3-cekq6is2-cn3-c4eqrz6i/D4_x1
#C Soup k_tjrcaiZeip6749631 was found on 2025-04-19 at 17:44:07 UTC and is owned by Anonymous
x = 21, y = 21, rule = B2n3-cekq6i/S2-cn3-c4eqrz6i
6b3o$6b3o2b2o$6bo4b2o$8bo$8bobobo2$3o$2o$2ob2o11bob2o$18b2o$4bo11bo$b2o$b2obo
11b2ob2o$19b2o$18b3o2$8bobobo$12bo$8b2o4bo$8b2o2b3o$12b3o!
edit 2 (2025-04-20): here is a collection of objects from Catagolue censuses, excluding still-lives and oscillators with period below 4, and only linking linear growths from the pattern comments without showing them in the collection:
edit 3 (2025-04-22): updated the collection of objects.

Code: Select all

#C linear growths:
#C   https://catagolue.hatsya.com/object/yl124_1_20_41d4d1e4ed5c9c3f39a07a877956f6ac/b2n3-cekq6is2-cn3-c4eqrz6i
#C   https://catagolue.hatsya.com/object/yl124_1_40_3e066b4632c243e3a5fa706f9b7003a8/b2n3-cekq6is2-cn3-c4eqrz6i
#C   https://catagolue.hatsya.com/object/yl124_1_40_bd1fca485345b4f2bcf981d6f71b48fc/b2n3-cekq6is2-cn3-c4eqrz6i
#C   https://catagolue.hatsya.com/object/yl124_1_40_d7fe233935183fd6bbc2149fc8dcddb5/b2n3-cekq6is2-cn3-c4eqrz6i
#C   https://catagolue.hatsya.com/object/yl130_5_47_7f3a6b1914299e3fc8d68df9d98d9dea/b2n3-cekq6is2-cn3-c4eqrz6i
#C   https://catagolue.hatsya.com/object/yl260_5_124_0e8d4d3ad8c38f9edf841e7b5494c294/b2n3-cekq6is2-cn3-c4eqrz6i
#C   https://catagolue.hatsya.com/object/yl260_5_124_3b7d95a85632ddc35e309cbd4cd57b8c/b2n3-cekq6is2-cn3-c4eqrz6i
#C   https://catagolue.hatsya.com/object/yl260_5_124_645753346ced4022be1fa4772d5c5a01/b2n3-cekq6is2-cn3-c4eqrz6i
#C   https://catagolue.hatsya.com/object/yl260_5_124_79fa54f24ce68c12e4c9d2cc0f2f389a/b2n3-cekq6is2-cn3-c4eqrz6i
#C   https://catagolue.hatsya.com/object/yl260_5_124_89f28d02c412cf192d30eccbc8e1dac9/b2n3-cekq6is2-cn3-c4eqrz6i
#C   https://catagolue.hatsya.com/object/yl260_5_124_a9f2fa6bf39261af716f722cc5de088f/b2n3-cekq6is2-cn3-c4eqrz6i
#C   https://catagolue.hatsya.com/object/yl260_5_124_c4803cba2f3074dca500c82940832969/b2n3-cekq6is2-cn3-c4eqrz6i
#C   https://catagolue.hatsya.com/object/yl260_5_124_c488d30701f5f1d20788adebfff0c48d/b2n3-cekq6is2-cn3-c4eqrz6i
#C   https://catagolue.hatsya.com/object/yl260_5_124_f25ab6b6558ab6ae329786ee6d76f65d/b2n3-cekq6is2-cn3-c4eqrz6i
#C   https://catagolue.hatsya.com/object/yl260_5_174_03e006fd77aacb5b9e0f571a40efd6dc/b2n3-cekq6is2-cn3-c4eqrz6i
#C   https://catagolue.hatsya.com/object/yl260_5_174_2c9862520099f241901f9be4321a1a32/b2n3-cekq6is2-cn3-c4eqrz6i
#C   https://catagolue.hatsya.com/object/yl260_5_174_a2531fe58bf77ae8312af31cb0a4629c/b2n3-cekq6is2-cn3-c4eqrz6i
#C   https://catagolue.hatsya.com/object/yl260_5_174_b24bb74a5337e14b0c3caf583a4bc7b2/b2n3-cekq6is2-cn3-c4eqrz6i
#C   https://catagolue.hatsya.com/object/yl260_5_174_cbedea9bf2dccefa218e970c56815b88/b2n3-cekq6is2-cn3-c4eqrz6i
#C   https://catagolue.hatsya.com/object/yl260_5_174_f2596fd6acaaeafdf76f7cd60af53df4/b2n3-cekq6is2-cn3-c4eqrz6i
#C   https://catagolue.hatsya.com/object/yl260_5_94_09381fb2099a27e328b1734f0fc6bfca/b2n3-cekq6is2-cn3-c4eqrz6i
#C   https://catagolue.hatsya.com/object/yl260_5_94_8ffea4fc2a9620eadf45f877c6920758/b2n3-cekq6is2-cn3-c4eqrz6i
#C   https://catagolue.hatsya.com/object/yl260_5_94_912cceecd18019811030ca6a88ce7a60/b2n3-cekq6is2-cn3-c4eqrz6i
#C   https://catagolue.hatsya.com/object/yl260_5_94_921c621913bb5fd3d3699f3bc0cbc045/b2n3-cekq6is2-cn3-c4eqrz6i
#C   https://catagolue.hatsya.com/object/yl260_5_94_d092211a950dd52a8d1946c89e8bb734/b2n3-cekq6is2-cn3-c4eqrz6i
#C   https://catagolue.hatsya.com/object/yl62_1_10_36d4d9d45015f4b1f3ca665104979043/b2n3-cekq6is2-cn3-c4eqrz6i
#C oscillator periods: 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 24, 60, 68, 124.
#C spaceship periods: 4, 10, 58.
x = 1916, y = 766, rule = B2n3-cekq6i/S2-cn3-c4eqrz6i
2o49bob2ob2obo12b2ob2o27b2o16b2o16b2o5b2o11b2o15b2o38bo5bo14b2o17bobo
16b2o16b2o3b2o12b2o5b2o12b2ob2o14b2ob2o14b2o17b2ob2o16bo34b2o5b2o10bo
7bo30b2o18bo33b2ob2o16b2o3b2o40b2o17bob2ob2obo12b2ob2o3b2ob2o18b2ob2o
12b2o20b2o19bo14b2ob2o12b2ob2o47b2o19b2ob2ob2o22b2o21b2o17b2o28bo52b2o
21b2ob2o18b2ob2o71b2ob2o19b2ob2o18b2ob2o43b2ob2o14b2ob2o4b2ob2o77bo22b
2ob2o22bo7bo19b2o2b2o23b2o19b2o3b2o3b2o53b2ob2o93b2o21b2o7b2o19b2o4b2o
26bo27b2o3b2o26b2o27b2ob2o25bo2bo24b2o3b2o23b2o4b2o$bo17b3o14b3o12b2ob
obob2o13bob2o10b3o14bo17bobo16bo5bo12bo16bobo18b3o16b3ob3o15bo13bo3b3o
3bo12b2o14b3obobob3o10b2o5b2o12b2ob2o14bo3bo15bo3bo13b2ob2o16b3o15b3o
14b2o5b2o10b3o3b3o10b3o16bo2bob2o14bo16b3o14bo3bo16bo5bo19b3o18bo16b3o
bo3bob3o10b2obo5bob2o18b2ob2o12bo4bo15bobo19bo14b2ob2o13bob2o3bo17b3o
23b2o19b2ob2ob2o22b2o21b2o17b2o8b2o18b3o23b3o21b2o2bo22bob2o19bob2o13b
3o29b3o23bo3bo19b2obo19b2obobo18b3o21b2obobo13b2ob2o4b2ob2o17b3o25b3o
29bo22b2obo7b2o14b3o3b3o19bo4bo23b2o18bo2bobo2bobo2bo21b3o29bob2o28b3o
30b3o29b2o21bo9bo19b2o4b2o26bo28bo3bo26bo2bo26b2ob2o25b4o25bo3bo24b2o
4b2o$b2o2bo18bo46bobo31b3o2bo13bo16b3ob3o11b2o3bo14bo35b2o2bobo2b2o10b
3o2b2o10b3obobob3o10bo17bo3b3o3bo51bobo14bo3b3o10b2o7b2o15bo11b2o7b2o
13bobo16bobo32b2obob2o14bo34b3o13bo2b2obobob2o2bo35b2o3bo12bo3bo3bo3bo
15bobo21b2o16b2ob2ob3o13bob2o18bo32bo4b3o45b2o45bo4bo21b2o20bo4b2o20bo
45bo2b2ob2o17bo3bo18bo3bo72bobo3b2o20b2o2bo18b2o2bo45b2o104bo25bo2b2o
3b2o17bobo23b4o44bo2bob4obo2bo53bo121bobobobo55bo28b2ob2o26bo2bo54b2o
4b2o20b2ob2ob2ob2o24b2o$5bo14bo3bo11b3o32bobo13b3o2bo13bo3bo13b2o17bob
o16bob3o11bo16bo2b3o2bo11b2o7b2o10bo2bob2o12b2o3b2o12b4o18bobo14b4ob4o
10b4ob4o10b2ob3ob2o12b2obo12bob3ob3obo11b4o12bo9bo10b2ob3ob2o10b2ob3ob
2o10b3o2bo16bo50bo5bo11bo5b3o5bo34bo3bob3o12b2ob3ob2o14b2ob3ob2o19bob
2o16b2o3bo12b2o36b5o14b2obo44b3o3bo13bo2b3o2b3o2bo17b2o2b2o21bo18b2o2b
3o67b4o4bo17b2obo2b3o14b2obob4o13b3o2bobobobo42b3o2b3o18b3o3b3o14b3o3b
3o41b3o3b2o14b2o4b2o16b2o7b2o79bobo21b2obobob2o45b8o16b2o2bo2bo2b2o51b
2obo91b2ob3ob2o20b9o22b4o54b2o2bobo2b2o24b2o27b5o24bob2obo21b2o2bobo2b
2o23b4o$b2o2bo12bo5bo12b2o15b3o14bobo14bo3bo12b3o2bo16b3o31b2o3bo11b2o
2bo12bo3bo3bo16bo18bo36bo2b3o31bo2bobo2bo10bo2bobo2bo10b2obobob2o12bo
19bobo14bo18bobobobo12b2obobob2o10b2obobob2o11bo3bo11b2o4b3o13bobo15bo
bo13b2o3b2o11bo2b2obobob2o2bo12b2obobob2o11b3o2b2o3bo12bo7bo15bobobobo
22b2o14b2o2b2o17b2o17bobo12bo5bo10b2o4bob2o17bobo20bo3bo2bo13bo3bo4bo
3bo18bo2bo19b2obo18bo2b2obo20bo26bobo17bo3bob2o2bo14bob3o4bo13bob3o4bo
14bo3bob3obo20bobo19bo2bo5b3o13bo3bo2bo15bo3bo2bo16b2obobob2o14b2obo3b
o2bobo13bobo2bobo16bo3bobo3bo21bobo28bobo24b3o2b5o14b2ob3ob2o18b2o4b2o
77bobo27bob2o30bobo27bo2bobo2bo21bobo3bobo15b2o6bobo6b2o18b2o26bobobob
o21bo2b2o3b2o2bo51bo5bo25b2o21b2o2b2o3b2o2b2o$bo16bo3bo64b3o2bo11bo19b
2o18bo18bo18bo12bo2b3o2bo16bo15bo2bo18bo15b4o19bo74b2obo33b2o3b2o11b2o
b3ob2o49b3o2bo11b2o7bo10b3ob3o13b3o14bo3bo16bo5bo16b2ob3ob2o11bo3bo2b
2o16b2ob2o14b2o9b2o17bo17b2o2b2o15b2o2bobo12b3ob3o10b3ob3o10b2obo4b2o
15b3ob3o18bo4bo2b2o11bo2b3o2b3o2bo12bo2b3o4b3o2bo13b2ob2o17b2o24b2obo
22b3ob3o17bobo4b2o13b4o2b2o15b4o2b2o16b3o2bobobobo18b3ob3o20bob2obo2bo
13bo4bo2b2o13bo4bo2b2o14b2ob3ob2o14b2obo4bo2b2o14b2o2b2o19b3ob3o21b3ob
3o26b3o22bo3bo2bo3bo17bobo17b2o2bo2b2o2bo2b2o13bo10bo14b3o6b3o22b3o24b
o2b2o32b3o27b4ob4o19b2o2bo3bo2b2o13bo2bo11bo2bo10b2o3b2o4b2o3b2o16b3ob
3ob3o19bo2b2o3b2o2bo20b8o23b2o3b2o23bo4bo19b2o2b2o3b2o2b2o21b4o$2o16bo
19b2o32bo31b2o18bo19bo16b3o14b2o2bo37bo15b3o19bo15bo22bo19bo18bo18bo
15bo3b3o15bo21bo14bobo18bo18bo38bobo10bo5bo10b2obobob2o10b2o3b2o15b2o
3b2o19bobo17b2o2b2o16b2ob2o14b2o9b2o12bo4b2o14bo3b2o14bo3bo2bob3o10bo
5bo30bob2o18bo5bo15b2obo5bob2o37bo3bo6bo3bo11bo22bobo3bobo17bob3o4b2o
16bo2bo2bo16b2o4bobo16bo3bo18bo3bo47bo5bo17bo2bob2obo13b2obo5bob2o10b
2obo5bob2o17bobo20bo5bo17b2o2b2o19bo2bo2bo20bo7bo23bobobobo20bo5b3o14b
o2b3o3b3o2bo11bobo4b2o4bobo13bo10bo13bobo3b2o3bobo18b2obobob2o21b3o3b
3o25b2obobob2o22b2o9b2o17bo3b2ob2o3bo15b2o11b2o12b2o3b2ob2ob2o3b2o15bo
4bobo4bo15bo3b2o7b2o3bo46b2o2bobo2b2o16bo4b2o2b2o4bo12bo3b2o7b2o3bo20b
2o$21b3o14b3o31bo14b3o32bobo19bo16bo16bo19b3o38bo18bo17b2o19bo19bo18bo
18bo17bo3bo15bo17b4o14b2ob2o17bo18bo38b2o12b5o12bo5bo11bo5bo38b2o5b2o
16b2o62b2ob2o16b3ob2ob2o11b3o2b2o4bo11b2ob2o11b3ob3o10b3o4bo13bo2b2o5b
2o2bo11b2o2bo4bo17b2ob2ob2o15bo2b3o4b3o2bo11b2ob3o3bo19b2o17b4o2b2o3bo
12bo2b2o2bo2b2o2bo12bo2b2obo3bo13b2o2b4o15b2o2b4o15b3o25b2o7b2o15b3o5b
o2bo10b2o2bo4bo13b2o2bo4bo14bo2b3o3b3o2bo11b2o2bo4bob2o13bobo2bobo14bo
2b2o2bo2b2o2bo16bob2ob2obo23b2o3b2o21b3o5bo13bo3bo5bo3bo13bo2b2o2b2o2b
o15bo4b2o4bo13bobo3b2o3bobo19bo5bo19bo4bo2bo3bo4b2o19bo2bo2bo24bo2b2ob
2o2bo15b2o2b3o5b3o2b2o13bo11bo16bo4b2o4bo18bob2o5b2obo15b3ob2o7b2ob3o
15bo10bo15b2obobo2bobo2bobob2o12b2ob2o6b2ob2o12b3ob2o7b2ob3o10b2o5b2o
4b2o5b2o$72bo49b2o55bo58b2o36b2o39bo18bo18bo16b2o19bo16bo40bo18bo14b3o
2bo15b2o14bo5bo11bo5bo13b3o39bo2bo3bo2bo12b2ob2o60b2o4bo18bo4bo14bo3bo
b3o11bo2bo2bo10bo5bo10bo3b2obo13bo13bo13bo2bo3bo17b2ob2ob2o21bo2bo21bo
4bo14bob2o2bo13b2o4bo3bo4b2o11bo4b2ob2o4bo14bo4b4o10bo4b3obo13bo4b3obo
23b3o18bo9bo19b3o2b3o12bo2bo3bo15bo2bo3bo14bo3bo5bo3bo11bobo2bo3bob2o
13b2o4b2o14bo4b2ob2o4bo12bo2b2ob2ob2ob2o2bo17b2o7b2o16bo3bo2bo3bo13bo
2b3o3b3o2bo13bo2b2o2b2o2bo12b2obo3bo2bo3bob2o11b3o6b3o17bo2b2o3b2o2bo
16b5o2bo4bo4b2o16bo2bo5bo2bo21bobobobobobo15b2obo2bo5bo2bob2o12b3o9b3o
15b2ob2o2b2ob2o17b2ob2o5b2ob2o16b2o11b2o17bo10bo15b2obo2b2o3b2o2bob2o
10b2o4bo6bo4b2o12b2o11b2o12b2o5b2ob2ob2o5b2o$38b3o136bobo230b3o73bo3bo
15b2o14b3ob3o10b2obobob2o11bo3bo38bo2bo3bo2bo13bo63b2ob2o24b2o15b2o3bo
13bo2bo2bo11b5o15b2ob2o12bo2b2o5b2o2bo13bo3b3o46b2o2b2o16b2ob3o3bo14b
3o2b2o14bo3b2o2b4o15bo2b2o2bo2b2o2bo13b2ob2o2bo12b3o2bob2o14b4obob2o
41bo2b2o9b2o2bo13b2o3bobo12b3o3b3o14b3o3b3o15bo2b3o3b3o2bo12b2o3b3o39b
o2b2o2bo2b2o2bo12bo15bo18bo7bo17b5o2b3o21bobo17bobo4b2o4bobo10b2obo3bo
2bo3bob2o40b3o7b3o20bobo5bobo20b3o2bobo2b3o17bo2b2ob2o3b2ob2o2bo14bo
11bo16bo11bo16b2ob2o2b2ob2o76b2o2bo4b2o4bo2b2o14bo11bo14bob2o10b2obo
43bobo4b2o4bobo$177b2o233bo72b3o2bo33bobo15b3o14b2ob2o39b2o5b2o14b2o
65b2o42bo18b2ob2o53bo5bo18b2o50bo4bo16bo20b2o4bo17b2o4b3obo20bo2bo2bo
18bo2b2o17bo3bo18bo3bo16bobobobo2b3o14bo17bo14bo3bo14bo2b2o18bo2b2o25b
obo20b2o18b2ob2o4b2ob2o15bo2bo2bo16bo2b2ob2ob2ob2o2bo15b3o9b3o21bobo
18b2ob3ob2o14b2o2bo2b2o2bo2b2o13bo4b2o4bo14b2o2bo2bo2b2o19bo7bo18b2o4b
o4bo2b5o46bo17bo14bo2bo5bo2bo15b3o9b3o15bo4b2o4bo17b3o9b3o16b2o11b2o
12bo2bobo3bo2bo3bobo2bo10b2obo2b2o3b2o2bob2o11bob2o10b2obo13b2o11b2o
14b2ob2ob2o2b2ob2ob2o$542bobo145b2o45b2o16bo5bo11b2ob2o36b3ob3o20b2o
50b2o20b2ob2o14b2o8b2o18bob2o21b3ob3o18b2o17b2obo19b2obo20bob3obo3bo
15bo2b2o9b2o2bo14b2ob2o17bob2o17bobob2o20b2ob3ob2o17bobob2o14b2ob2o4b
2ob2o15b3ob3o20bob2ob2obo15b3o2bo11bo2b3o10b2o3b2o2bo18b2obobob2o18b2o
4b2o17bo10bo13bo2bob4obo2bo11bo2b3o11b3o2bo11b2o4bo3bo2bo4bo11bo2b3o2b
o5bo2b3o2bo12bo2b2ob2o3b2ob2o2bo15b3o5b3o17bo11bo13b2o3b2ob2ob2o3b2o
10b3o2bo11bo2b3o10b3ob2o7b2ob3o10bo2bobo3bo2bo3bobo2bo10b2obobo2bobo2b
obob2o10b2o4bo6bo4b2o10b3ob2o7b2ob3o12b2ob2ob2o2b2ob2ob2o$485b3o37bo
164b2o63b3ob3o11b2ob2o38bobo22b2o50b2o20b2obo25b2o20bo24bobo39b2ob2o
18b2ob2o19bobobobo2b3o18bo9bo39b2ob2o18b2ob2o20b2obobob2o18b2ob2o41bo
3bobo3bo18bo7bo19b3o9b3o14b2o7bob2o18bobo46bo10bo13bo2bobo2bobo2bo11bo
3bo13bo3bo18b3o3b3o14bo3bobo9bobo3bo16bobobobobobo18bo3b2ob2o3bo15b2o
11b2o12b2o3b2o4b2o3b2o14b3o9b3o14bo3b2o7b2o3bo11b2o2bo4b2o4bo2b2o15b2o
2bobo2b2o16b2ob2o6b2ob2o12bo3b2o7b2o3bo13bobo4b2o4bobo$525bo231bobo
158bo191b2o7b2o160b2o7b2o19b3ob3o23bo7bo25b2ob2o15b3o3b3o20b4o45b2o3b
2o3b2o12bo2b3o11b3o2bo22b2o2bo14bo2b3o2bo5bo2b3o2bo16bo2b2ob2o2bo18b2o
2bo3bo2b2o13bo2bo11bo2bo18b2o54bo2b2o3b2o2bo18bo10bo21b2o3b2o18bo4b2o
2b2o4bo14b2o2b2o3b2o2b2o12b2o5b2ob2ob2o5b2o$525bo16b3o373b2o43bo125b3o
20bo5bo194bobo24b2o7b2o44bo7bo19bo4bo20b8o47bo7bo27b2obo55b2o9b2o19bob
o3bobo15b2o6bobo6b2o17b4o21b2ob2o5b2ob2o17bo2b2o3b2o2bo18bo10bo21bo5bo
23bo4bo19b2o2b2o3b2o2b2o12b2o5b2o4b2o5b2o$758bo57b3o97b2o45b3o25b3o
118b3ob3o92b3o71b3o54b2o3b2o74b2o2b2o73b3o7b3o26bob2o21b3o2bobo2b3o22b
4ob4o21b2ob3ob2o20b9o48bob2o5b2obo19b2o2bobo2b2o53b5o26b2o23b2o2bobo2b
2o24b2o$758bo157b2o47bo148bobo225bobobobo103b2o48bo2b2o3b2o2bo26bo24bo
2bo5bo2bo22bo2bobo2bo51bobobobo21b2o4b2o20bo4bobo4bo22b2ob2o24b8o53bob
2obo21b2ob2ob2ob2o23b4o$758bo554b3o28b3o105b2o51bo5bo26b2obo27bo2bo2bo
57b2o24bo9bo19b2o4b2o21b3ob3ob3o23bo3bo56b2ob2o23b2o4b2o23bo3bo$1344bo
bo157b2obobob2o25b2ob2o25b2obobob2o56b2o24b2o7b2o50bobobobo24b2o3b2o
26b2o27b2ob2o25b4o24b2o3b2o25b4o$1114b3o390b3o61b3o30b3o176bo2bo56bo2b
o57b2o$1345bo161bobo61bobo149bo59bo2bo114b2o4b2o$1345bo377bo60b2o115b
2o4b2o$1345bo377bo$1507b3o61b3o22$b2obo10b2ob2o3b2o12b2o2b2o15b2o2b2o
20b2o16b2ob2o10b2o19b2o3b2o13b2o2b2o18bo15b2o25bob2o14b2o2bobo2b2o11b
2o3b2o16bo18b2o3bobo3b2o11b2o26b2o16b2o3b2o12b2o5b2o13bo2bo19b2o5b2o
11b2o7b2o20b2o22b2o19bo2bo3bo2bo20b2o19b2o11b2o15b2o4b2o22b2o2b2o$bob
2o10b2obo4b2o12bo4bo15bo4bo14b2o5b3o13bobob2o10b2o18bobo3bobo12bo4bo
18b3o13b2o25b2obo14bo3b3o3bo11bo5bo16b3o16b2o3b3o3b2o11bo9b2o16b2o15bo
bo3bobo11b2o5b2o13b4o19bo2bobo2bo10bo2bo5bo2bo19b2o21bo2bo18b4o3b4o20b
2o18bo2bob2o3b2obo2bo12b3obo2bob3o20b2o2b2o$19b2o17b4o13bo3b4o3bo11b2o
2b2o3bo13bo19bo15b3o3b3o13b4o21bo16bob2o40bobobobo15bobo20bo19bobobobo
16b2o3b2o2bo13b2o3b2o13b2o5b2o14bobo14b2o25b2ob2o12bo2bo5bo2bo14b2obo
24bo2bo16b2o11b2o15bo6bo15bo2bob2o3b2obo2bo11bo4bo2bo4bo21b2o$2b3o10b
2o4bob2o10b2obo2bob2o10b3obo2bob3o14bobo15b2o4b2o12b4o17bobo13b2obo2bo
b2o14b3o2b2o13b2obobo19b3o16b2o5b2o13b2ob2o17b2o19b2o5b2o14bobo3bobo
14bo2bobo2bo15bobo16b2ob2o14bob2ob2o37b2o2bobo2b2o15b2ob4o18b2obo2bob
2o14bo2b2o3b2o2bo15b4o2b4o15b3o9b3o12bob2obo2bob2obo21b2o$4bo10b2o3b2o
b2o10b2o6b2o12bo6bo15b2ob2o13bo7bo12bo3bo32b2o6b2o13bo6bo18bo15b2obo6b
2o54bo3b2o39b3o3b3o14bo3bo3bo14b2ob2o12b2o7b2o11bob2obobo16b3o3b3o14b
2ob2o16b2o6bo18b2o6b2o14bobobo3bobobo14bo3bo2bo3bo18b2o3b2o15b2ob2o6b
2ob2o17bo6bo$o37b4o17b4o16bo3bo14b2o4b2o14b2ob2o15bobo16b4o16bo4bob2o
12b2o4b2o14bobo4bo2bo11b2o5b2o11b3o3b3o14b2o2bobob2o12b2o5b2o17bobo15b
2obo5bo32bob2o3b2obo10b2o6bo17bo5bo36b2o2b2o3b2ob2o16b4o16b2ob3o3b3ob
2o12b2ob2o4b2ob2o13b2obobo3bobob2o11bo5b4o5bo16b4o2b4o$3o35bo2bo17bo2b
o16b4o20bo13b2ob2obo13b3o3b3o13bo2bo13b2obo4bo15bo7bo12bo2bo4bobo13bob
obobo13bo5bo12b2o7bobo14bobobobo36b2o2bo3bo2b2o10b3o3b3o12bo5bo15b2o4b
2o14b3o3b3o12b3o3b3o17bobobo2bob2o11b3obo4bob3o17bobo19bob2ob2ob2obo
14b2ob3o3b3ob2o12b3obo4bob3o16bo3bo2bo3bo$39b2o19b2o15bo3bo16b2obobo
13b2o3b2o13bobo3bobo14b2o15bo6bo16b2o4b2o12b2o6bob2o10bo3b3o3bo10b3o3b
3o11bobo7b2o11b2o3b3o3b2o15bobo18bo5bob2o11bo5bo13bo5bo15bo7bo14bo5bo
14bo5bo15b2ob2o5bo13bo4bob2obo4bo38b2o3b2o3b2o20bobo22bob2obo19b2ob2o
4b2ob2o$2obo73b2o19b2ob2o16b2o4b2o11b2o3b2o14bo2bo14b2o2b3o19bo22b3o
14b2o2bobo2b2o29b2obobo2b2o14b2o3bobo3b2o12b3o3b3o14bo3bo3bo12b3o3b3o
10bob2o3b2obo14b2o4b2o13b3o3b3o12b3o3b3o15bo5b2ob2o12bo4bob2obo4bo16bo
bo16b2o4b2o2b2o4b2o42bob2obo15b2o3bob2ob2ob2obo3b2o$ob2o74bo40b2o4b2o
32bo2bo16bo23bobob2o57b2ob2o16b2o3bo39bobo3bobo14bo2bobo2bo31b2o7b2o
16bo6b2o11bo5bo34b2obo2bobobo16b3obo4bob3o11b2ob3o3b3ob2o10b2o4b2o2b2o
4b2o17bobo18b3obo4bob3o11b2o3b2o3b2o3b2o3b2o$78b2o80b2o17b3o22b2obo17b
ob2o38bobo20b2o38bo2b2o3b2o16b2o3b2o15b2ob2o15b2ob2o19bobob2obo11b3o3b
3o14b2ob2o14b2ob2o3b2o2b2o18b4o17bobobo3bobobo14b2o3b2o3b2o14b2ob3o3b
3ob2o11bo5b4o5bo12b2o4b2o2b2o4b2o$181bo27b2o14b2obo36bo5bo17bo40b2o9bo
16b2o19bobo17bobo21b2ob2obo31b2o2bobo2b2o16bo6b2o15b2o6b2o14bo2b2o3b2o
2bo14bob2ob2ob2obo14b2obobo3bobob2o11b2ob2o6b2ob2o12b2o4b2o2b2o4b2o$
209b2o54b2o3b2o17b3o48b2o16b2o16b2o5b2o11b2o5b2o24b2o12b2ob2o12bo2bo5b
o2bo15b4ob2o17b2obo2bob2o13b2o11b2o12b2ob2o4b2ob2o17b2o3b2o16bob2obo2b
ob2obo11b2o3b2o3b2o3b2o3b2o$291bo84bobo3bobo11b2o5b2o20b4o12bo2bobo2bo
10bo2bo5bo2bo18bob2o20bo2bo18b4o3b4o15bo3bo2bo3bo14b3o9b3o12bo4bo2bo4b
o11b2o3bob2ob2ob2obo3b2o$377b2o3b2o41bo2bo12b2o5b2o11b2o7b2o16b2o25bo
2bo18bo2bo3bo2bo16b4o2b4o14bo2bob2o3b2obo2bo12b3obo2bob3o16b2ob2o4b2ob
2o$488b2o26b2o47bo6bo15bo2bob2o3b2obo2bo14b2o4b2o19bo3bo2bo3bo$568b2o
19b2o11b2o43b4o2b4o$568b2o78bo6bo$651b2o$651b2o$649b2o2b2o$649b2o2b2o
21$29b2o36bo3b2o122b2o20bo54bo2bo37bo3b2o10b2o62b2obo2bob2o10b2o20b2o
48bo5b2o20b2o38bo4b2o12b2o4b2o17bo3b2o11b2o6b2o15b2o18bo30b2o18b2ob2o
17b2o12b2ob2o53bo12b2o8b2o16b2o25b2o15b2o4b2o13b2o8b2o11b2o7b2o12b2o6b
2o94b2o17b2o9b2o15b2o25b2o3b2o17b2o11b2o17b2o5b2o17b2o11b2o50b2o53b2o
6b2o45b2o10b2o18b2o4b2o23b2o4b2o$7bo19bo2bo17bob2o15bobo2bo17bo19bo19b
o20bo19bo23b2o20b3o17bo19bo12b3o2b3o12bo22bobo2bo10b2o27bo20bo14b3o2b
3o11b2o2bo17b2o27bo20bobo3b2o21bo15bo22bobo2b2o12bo6bo17bobo2bo11b2o6b
2o14bo2bo15b5o28bobo18bob2o17bo13b2obo23b3o2b3o23b3o10bo10bo17bo21b2o
2bo16b2o4b2o13b2o8b2o10bobo7bobo11bobo4bobo18bo25bo23bo24bobo16bo2bo7b
o2bo14bo2b2o22b2o3b2o16bobo11bobo17bo5bo17bobo11bobo18bo2bo27b2o27bo2b
o22b2o6b2o22bo2bo19b2o10b2o18b2o4b2o23b2o4b2o$4b2ob3o17b2o16b2ob2obo
17b2o16b2ob3o14b2ob3o14b2ob3o15b2ob3o14b2ob3o19bo21b2o2bo14b2ob3o14b2o
b3o10bo6bo10b3ob2o21b3o13b2o22b2ob3o15b2ob3o14bo2bo16bob2o18b3o20b2ob
3ob2o17b3o24bobo11b3ob2o21b3o13b2o6b2o18b2o16bo2bo36bo3bo25bo3b2o18bo
15b2ob3o2bo13bo21b3o6b3o18bo4bo12b2o4b2o19b2o20bobobo2bo16b2o18b2o4b2o
12b2o2bo3bo2b2o10b2o2bo2bo2b2o15b3ob2o20b3ob2o18b3ob2o21bob2o15bo2bo7b
o2bo15b2obo20b2o7b2o13bo2b2o9b2o2bo16b2o3b2o16bo2bob2o5b2obo2bo14b2ob
4ob2o22bo4bo22b2ob4ob2o22bo2bo22b2ob4ob2o14b2o3bo6bo3b2o44b2o10b2o$4b
2o3bo14b2o19b2o19b2o19b2o3bo14b2o3bo14b2o3bo15b2o3bo14b2o4bo15b2ob2o
19bobo17b2o3bo14b2o3bo13b2o13bo3b2o18b2o17bo23b2o4bo14b2o4bo11bo6bo13b
2o20b2ob2o19b2o3bobo15b2o3b2o21bo2b2o11bo3b2o18b2o3bo12bo3b4o3bo14b2o
18b2o2b2o37bo24b2ob3o18b2ob2o14b2obo2b3o12bo22b5o2b5o15b2ob5o13bo6bo
16b2o25b2ob3o11b3ob4ob3o13bo6bo15b2o3b2o15b3o2b3o15b3o3b2o20bo3b2o18bo
3b2o20b2o19b2o2bo3bo2b2o19b2o18bobo7bobo12b3o2bo7bo2b3o14b2o7b2o14b3o
2bo7bo2b3o14b2o6b2o19b2ob2o2b2ob2o19b2o6b2o19b2obo2bob2o19b2o6b2o14b2o
2b3o4b3o2b2o14b4o4b4o19bob2o4b2obo$2b2o2bo16bo2bob2o13b2o2bo17bo2bo16b
2o2b2o14b2o2b2o14b2o2bo2b2o12b2o2b3o13b2o2bo2b2o15b2o24b2o14b2o2b3o13b
2o2bobo14b2o16bo2b2o15bo2b2o14b2o21b2o2bob3o12b2o2bobobo10b2o6b2o15b2o
20b2o17b2o2bo3b2o14bo2bo25b2o17bo2b2o15bo2b2o14bo3b4o3bo13bo2bo14bo3bo
2bo3bo14b3o16b2o24b2o3b2o17b2o23bo14bobo47b2o3bo14b2obo2bob2o14bo2bo
25b2o13bo12bo11b2obo2bob2o13b3o3b3o14bo6bo15bo4bo2b2o17b2o2bo2b2o14b2o
2b2o2b2o21b2o19b2o3b2o14b2o3b2o21b2o2bo3bo2b2o14bo2bo7bo2bo15bobo7bobo
18bo7bo17b2o2b2o2b2o2b2o17b2o8b2o17b2o2bob2obo2b2o18bobo2bobo18b2o2b2o
2b2o2b2o15bo10bo16bo4bo2bo4bo15bo2bobobo2bobobo2bo$2b2o2bo16bo2bo16b2o
2bo14b2obo2bo16b2o2bo15b2o2b2o14b2o2bo16b2o2bo15b2o2bo17b2o2bo19b3o17b
2o2bo15b2o2bob2o13b2o16bo2b2o12b2obo2b2o17b2o18b2o2bobo14b2o2bob2o14b
4o16b2o2bobo15b2o2b2o15b2o2bo16b2obo2bo22b2o16bo3bo2b2o12b2obo2bo16b2o
6b2o11b2obo2bo14b3o6b3o10b2o5bo2bo15b2o19b2o2bo19b2o2b2o15b2o3b2o15b2o
b2o42b2o2b2o19bo2bo17bo2bo4bo13b2o6b2o12bo12bo14bo2bo42b2o17b2o4bo2b2o
16bo4bo2b2o14bo3b2o2b2o20bo2bobo15b3o3b3o13bobobo2bo18b2o3b2o3b2o3b2o
13b2o2bo3bo2b2o13bo2b2o2bo3bo2b2o2bo12b3o2bo3bo2b3o14b2o2b2o2b2o2b2o
15b2o2bo6bo2b2o15b2o2bob2obo2b2o12b2obo2b2o4b2o2bob2o12b2o2bo4bo2b2o
14b2o2b2o2b2o2b2o15bo4bo2bo4bo15b3obo2bo2bo2bob3o$4b2o18b2o19b2o19b2o
19b3o17b2o18b2o19b2o18b2o18b2o2bo19bobo19b3o17b2o17b2o14b2ob2o18b2o17b
2o2bo19b2o19b2o18bo2bo16b2o2bobo15b2o2b3o16b2o21b2o22bo2b2o14b3ob3o18b
3o17bo6bo16b3ob2o13bo6bo12bobob2obo3bo12b2o2bo18b2o2bo19b2o2b2o15bo24b
2o42b2o2b2o19bo2bo14bo3b2o5b3o11bo9bo12b3ob4ob3o15bo2bo42b2o17bo6b2o
16b3o5b2o15b2ob2o2b2o17bo4bo2bob3o37bobo2bo4bo13b2o2b3o3b3o2b2o16b2o3b
2o16b3o3b2o3b2o3b3o12bo3b2o3b2o3bo16b2o6b2o17b2o2bo6bo2b2o17b2o6b2o14b
2ob3o8b3ob2o14b2o2b2o2b2o17bobobo2bobobo13b2obo3b2o2b2o3bob2o15b2o2bo
2bo2b2o$b2o18b2o19b2o19b2o19b2obo16b2ob2o15b2o19b2obo16b2o23b2o18bob2o
17b2obo16b2o17bo6bo10bo2bo3b2o12b2ob2o17b2o2bo16b2o19b2o22b2o19b2o3bo
16b2o2bo13b2o21b2o25bo2b2o16bo5b2o12b2obo19b2o4b2o13b2o5b2o15b4o16bob
2obo3bo12b2o2bo2b2o16b2o17bo4b2o15b3o2bob2o17bo2b2o42b2o18b2obo2bob2o
11b3o5b2o3bo12b2o6b2o17b2o17b2obo2bob2o39b2o16b2o9b2o13bo10b2o15b2o2b
2ob2o12b3o5b2o4bo36bo3b2o5b3o43b3o3b3o17bo2b3o3b3o2bo17b3o3b3o16b2ob2o
6b2ob2o16b2o8b2o16b2o12b2o16bo8bo16b2obo3b2o3bob2o16b2o4b2o15b2obo2b2o
4b2o2bob2o10b2ob2o12b2ob2o$2bo19bobo18bo20bo20bo19bo19bo20bobo17bo20b
2o20bo22bobo17bob2o14b3o2b3o10bo2bo3bo14bo22b2o3bo14bob2o17bob2o40b2ob
2o17b2ob2o14bo22bo26b2o19b2o3bo14bo43bo3b2o17bo2bo15b2o7bo15b2o4bo13b
2o20b4ob2o15bo2b3ob2o17bo2b2o15b5o2b5o12b2ob2o19bo6bo14bo4bo2bo16b2o
21b2o4b2o15bo6bo14b3o3b3o17b2o19b2o6bo13b2o10bo14b2o2b2o3bo12bo4b2o5b
3o37b3o5b2o3bo127bo12bo14b2o14b2o14bob2o6b2obo14b3o10b3o14bo3b2o2b2o3b
o44b3o2b2o2b3o14b2obo14bob2o$2b2o16bo3bo17bo19bo22b2o18b2o18b3o18b2o
18bobo19bo20b3o20b2o18b2obo16bo2bo13b2o3b2o12bobo22b2ob3o14bobo18bo2bo
43bo21bo15b2o21b2o22b2ob2o20bo2b2o14b2o40bo5b2o18b2o18b3o20b2ob2ob2o
13bo23bo21bo23b2o17b3o6b3o13bo22b2o4b2o19bo2bo13b3ob2o20b2o4b2o15b2o4b
2o15b2o3b2o15bo6bo14b2o2bo4b2o16b2o5b3o14b2o2b2o2b2o12b3obo2bo4bo16b3o
3b3o16bo4bo2bobo128bo12bo15bo14bo15bob2o6b2obo44bo3b2o2b2o3bo48bo2bo
22b3o8b3o$20b2o20b2o18b2o63bo39b2o16b2o20b2o2bo96b2o26bo2b2o13b2o19b2o
46b2o20b2o14bo21bo19bo3bo23b2o15b2o42b2o44bo2bo22bo2bo14b2o19b2o22b2o
26b2o3bo12b3o2b3o15b2o19bo10bo18b2o14bo2bobobo39b2o8b2o10b2o2bo3bo2b2o
12b3o2b3o14b2o2bo4bo15b2o2bo4bo18b2o3bo16bobo2bo22b2o3b2o22bo2bobobo
10b2o2b3o3b3o2b2o98b2ob2o6b2ob2o11b2o18b2o11b2o12b2o42b2obo3b2o3bob2o
16b2o4b2o23bo2bo$185b2o21bo130b2o82b2o20b2o12b3o18b2o21b3o42b2o90b2o
24b2o11b2o2bo19b2o50bo2b3o32b2obo20b2o8b2o15b2o20bo2b2o39b2o8b2o10bobo
7bobo10b2o2bo2bo2b2o14b2o3b3o15b2o2bo2b2o19b2ob3o19b2o20b2o2bo3bo2b2o
20b2o3b2o10b2o3b2o3b2o3b2o15b3o3b3o17bo2b3o3b3o2bo17b3o3b3o19b2o6b2o
14b2o18b2o14b2o6b2o16b3o10b3o16b2o2b2o2b2o17bobobo2bobobo17b3o2b2o2b3o
$208b2o249bo20b2o24bo172bobo74b2o36bobo48bo19b2o66b2o7b2o12bobo4bobo
15b2ob3o19b2o3bo23bo24b2o16bo2bo7bo2bo16b2o20b2o2bo3bo2b2o18b2o3b2o16b
3o3b2o3b2o3b3o12bo3b2o3b2o3bo14b2o2b2o2b2o2b2o15bo14bo15b2o2bob2obo2b
2o17bo8bo17b2o2bo4bo2b2o14b2o2b2o2b2o2b2o12b2obo2b2o4b2o2bob2o14b3o8b
3o$505b2o173b2o77b2o33b2o49b2o109b2o6b2o18bo21b2ob3o45b2obo17bo2bo7bo
2bo17bob2o17bobo7bobo15b2o2bo3bo2b2o13bo2b2o2bo3bo2b2o2bo12b3o2bo3bo2b
3o14b2o2b2o2b2o2b2o14b2o14b2o14b2o2bob2obo2b2o12b2ob3o8b3ob2o12b2o2b2o
2b2o2b2o15bo10bo13b2obo3b2o2b2o3bob2o10b2obo14bob2o$759b2o248bo48bobo
18b2o9b2o18b2o2bo17b2o7b2o15bo2bo7bo2bo15bobo7bobo18bo7bo19b2o6b2o19b
2o8b2o19b2o6b2o14b2obo2b2o4b2o2bob2o14b2o6b2o14b2o2b3o4b3o2b2o13bo4bo
2bo4bo13b2ob2o12b2ob2o$1058b2o53b2o19b2o3b2o15b3o2bo7bo2b3o14b2o7b2o
14b3o2bo7bo2b3o14b2ob4ob2o17b2o2bo6bo2b2o17b2ob4ob2o20bobo2bobo20b2ob
4ob2o14b2o3bo6bo3b2o13bo4bo2bo4bo18b2o2bo2bo2b2o$1134b2o3b2o15bo2b2o9b
2o2bo16b2o3b2o16bo2bob2o5b2obo2bo17bo2bo20b2o2bo6bo2b2o20bo2bo22b2obo
2bob2o22bo2bo19b2o10b2o16b4o4b4o16b3obo2bo2bo2bob3o$1157bobo11bobo17bo
5bo17bobo11bobo44b2o8b2o51bo2bo48b2o10b2o44bo2bobobo2bobobo2bo$1158b2o
11b2o17b2o5b2o17b2o11b2o45b2ob2o2b2ob2o48b2o6b2o77b2o4b2o21bob2o4b2obo
$1279bo4bo51b2o6b2o77b2o4b2o20b2o10b2o$1281b2o171b2o4b2o$1281b2o171b2o
4b2o21$2ob2o3b2ob2o37b2o5b2o$2obobobobob2o16b3o18bo7bo$5bobo21bo19b2o
2bobo2b2o$2o3b3o3b2o18bo18bobo3bobo$2o3bobo3b2o14bo22bobo3bobo$2b2o5b
2o18bo21b2o3b2o$2b2o5b2o13b2o2b2o$24bo10bobo13b2o3b2o$24bobo10bo12bobo
3bobo$32b2o2b2o12bobo3bobo$32bo16b2o2bobo2b2o$34bo15bo7bo$30bo19b2o5b
2o$32bo$30b3o22$38b2o19bo6b2o16b2o266b2o339b2ob2ob2o302b2ob2ob2o$3b3o
16b3o13b2o23bo2b2o16b2o18b3o17b3o23b3o29b3o17b3o18b3o17b3o17b3o31b3o
28b3o21b2o26b3o5b3o18b3o27b3o7b3o17b3o28b3o40b3o18b3o41b3o30b3o17b3o
30bob2obo20b3o5b3o18b2o28b3o44b3o19b3o37b3o37b3o38b3o32bob2obo32b3o7b
3o36b3o11b3o$2b2ob3o14b3o16b3o14bo45b3o17b3o23b3o29b3o17b3o18b3o17b3o
17b3o20b3o8b3o28b3o49b3o5b3o18b3o27b3o7b3o17b3o28b3o29b3o8b3o18b3o41b
3o30b3o17b3o30bo4bo20b3o5b3o18b2obo8b2o16b3o33b3o8b3o19b3o37b3o37b3o
38b3o32bo4bo23b3o6b3o7b3o6b3o27b3o11b3o$2b2o3bo17b2o13b2ob2o13b2o3b3o
16b4o21b2o18b2o24b2o2b2ob2o13b2o8b2o18b2o19b2o18b2o18b2o18b3o11b2o14b
3o12b2o19b4o27b2ob2o19b2o33b2o8b2o18b2o29b2o27b3o11b2o19b2o42b2o16b3o
12b2o18b2o5b3o17b2ob2o2b2ob2o20b2ob2o19b2o4bo5bob2o14b2o36b3o11b2o20b
2o5b3o30b2o33b2o44b2o27b2obo4bob2o20b3o4b2o13b2o4b3o30b2o7b2o$4b2o13b
2o4b2o16b2o17bo2bo16bo2bo15b2o4b2o12b2o4b2o2b2ob2o11b2o4b2o3bob2o13bo
3b2o4b2o12b2o4b2o13b2o4b2o12b2o4b2o12b2o4b2o21b2o3b2o4b2o14b3o6b2o4b2o
19bo2bo21b2o4b2ob2o4b2o13b2o4b2o21b2o4b2o2b2o4b2o12b2o4b2o23b2o4b2o6b
3o21b2o3b2o4b2o13b2o4b2o28b3o5b2o4b2o16b3o6b2o4b2o12b2o4b2o5b3o18bo8bo
15b2o4b2ob2o4b2o13b2o9bo4b2o12b2o4b2o5b3o25b2o3b2o4b2o14b2o4b2o5b3o24b
2o4b2o33b2o4b2o32b2o4b2o28bob2o2b2obo24b2o2b2o4b2ob2o4b2o2b2o27b2o4b2o
7b2o4b2o$b2ob2o13b2o4b2o14b2o19b3o3b2o31b2o4b2o12b2o4b2o3bob2o11b2o4b
2o3bo13b2obo3b2o4b2o12b2o4b2o13b2o4b2o12b2o4b2o12b2o4b2o15b2o4b2o3b2o
4b2o12b2o9b2o4b2o44b2o4b2ob2o4b2o13b2o4b2o21b2o4b2o2b2o4b2o12b2o4b2o
23b2o4b2o6b3o15b2o4b2o3b2o4b2o13b2o4b2o28b3o5b2o4b2o14b2o9b2o4b2o12b2o
4b2o3b2o18b2o12b2o12b2o4b2ob2o4b2o19b2o8b2o12b2o4b2o5b3o19b2o4b2o3b2o
4b2o14b2o4b2o3b2o27b2o4b2o33b2o4b2o32b2o4b2o25bo2b2o6b2o2bo15b2o4b2o2b
2o4b2ob2o4b2o2b2o4b2o21b2o4b2o7b2o4b2o$2bo16b2o20b2ob2o23bo31b2o18b2o
9bo14b2o8b2o13b2ob2o2b2o18b2o19b2o18b2o18b2o21b2o4b2o3b2o18b2o4b2o3b2o
50b2o13b2o19b2o21b2o8b2o18b2o29b2o15b2o13b2o4b2o3b2o19b2o37b2o3b2o20b
2o4b2o3b2o18b2o9b2o4b2o11bo2bo10bo2bo11b2o13b2o14bo4b2o2b2o24b2o3b2o
22b2o4b2o3b2o20b2o9b2o4b2o21b2o45b2o32b2o31b3o10b3o15b2o4b2o8b2ob2o8b
2o4b2o21b2o19b2o$2b2o17b3o18b3o15b2o2bo18b3o17b3o17b3o5b2o16b3o29b3o
17b3o18b3o17b3o17b3o18b2o11b3o15b2o4b2o5b3o23b3o23b3o7b3o18b3o25b3o7b
3o17b3o28b3o6b2o4b2o13b2o11b3o18b3o28b2o4b2o5b3o17b2o4b2o5b3o17b3o6b2o
4b2o11bo2bo10bo2bo13b3o7b3o17bob2o4b2o4bo16b3o5b2o4b2o16b2o11b3o19b3o
6b2o4b2o23b3o39b3o36b3o25bo4bo10bo4bo12b2o11b3o5b3o11b2o23b3o13b3o$21b
3o22b2o12b2o6bo14b3o17b3o17b3o23b3o29b3o17b3o18b3o17b3o17b3o20b3o8b3o
21b2o5b3o14b2ob2o4b3o23b3o7b3o18b3o25b3o7b3o17b3o28b3o6b2o4b2o15b3o8b
3o18b3o28b2o4b2o5b3o23b2o5b3o17b3o12b2o12b2o12b2o14b3o7b3o19b2o6b2obo
17b3o5b2o4b2o18b3o8b3o19b3o12b2o23b3o39b3o36b3o25b5o12b5o14b3o8b3o5b3o
8b3o25b3o13b3o$46b2o33b2o202b3o29b3o24b2obo3b2o155b2o21b3o60b2o34b3o
39b3o17bo8bo57b2o33b2o18b3o42b3o117b3o18bo12bo18b3o27b3o18b3o27b3o$81b
2o4b2o112b3o113b3o27bo3b2o4b2o2b2o16b3o36b3o89b3o83b3o31b3o39b3o16b2ob
2o2b2ob2o16b3o7b3o59b3o65b3o17b3o97b3o14b2o18b2o65b3o27b3o$81b2o4b2o
14bo2bo17bo2bo21bo2bo28bo2bo16b3o17b3o19b3o101b2o2b2o4b2o3bo16b3o27b3o
6b3o18b3o27b3o38b3o61b3o19b3o95bo4bo19b3o7b3o18b2o39b3o85b3o6b3o27b3o
47bo2bob2o2b2o17b2o18b2o68b2o23b2o$87b2o14b4o17b4o21b4o28b4o14b2o20b3o
19b3o20b3o88b2o3bob2o11b2o30b3o4b2o21b3o27b3o8b3o20b3o57b3o8b3o85b3o
29bob2obo17b2o13b2o14bob2o6b2o22b3o40b3o17b3o34b2o4b3o8b3o16b3o8b3o28b
3o5b4obo3b2o4b2o15bo12bo17b3o29b3o14b2o4b2o6b3o5b3o6b2o4b2o$84b3o112b
2o4b2o12b2o25b2o18b3o85b3o4b2ob2o11b2o4b2o27b2o2b2o4b2o18b2o23b2o11b3o
20b3o25b3o29b3o11b2o83b3o28b2ob2ob2o16b2o4b2ob2o4b2o13bo4b2o4b2obo20b
3o29b3o8b3o17b3o28b2o4b2o2b2o11b3o14b2o11b3o8b3o17b3o10bo3b2o4b2o11b5o
12b5o13b3o29b3o14b2o4b2o6b3o5b3o6b2o4b2o$84b3o18b2o17b2o23b2o30b2o16b
2o4b2o12b2o4b2o13b2o4b2o21b2o83b3o20b2o4b2o21b2o4b2o2b2o4b2o12b2o4b2o
23b2o4b2o8b2o21b2o23b3o32b2o3b2o4b2o49b3o29b2o55b2o4b2ob2o4b2o18b2o2b
2o4bo17b2o32b3o11b2o13b2o12b3o16b2o4b2o2b2o4b2o8b2o12b2o4b2o3b2o11b3o
15b2o8b2o3b2o8b2o11bo4bo10bo4bo11b2o35b2o12b2o15b2ob2o15b2o$105b2o17b
2o23b2o30b2o22b2o12b2o4b2o13b2o4b2o15b2o4b2o112b2o21b2o4b2o8b2o12b2o4b
2o23b2o4b2o2b2o4b2o15b2o4b2o26b2o24b2o4b2o3b2o4b2o15b3o31b3o29b2o4b2o
55b2ob2o18b2o8b2o22b2o4b2o5b3o21b2o3b2o4b2o13b2o4b2o6b3o16b2o8b2o4b2o
2b2o4b2o12b2o4b2o3b2o4b2o3b2o18b2o4b2o3bo10b3o16b3o10b3o14b2o4b2o23b2o
4b2o14b3o6b2o4b2ob2o4b2o6b3o$202b3o20b2o13b2o21b2o4b2o109b3o23b2o11b3o
14b2o35b2o2b2o4b2o15b2o4b2o20b2o4b2o24b2o4b2o3b2o21b3o34b2o27b2o4b2o
52b3o5b3o15b2o4bo9b2o16b2o4b2o5b3o15b2o4b2o3b2o4b2o13b2o4b2o9b2o16b3o
11b2o2b2o4b2o18b2o3b2o4b2o3b2o4b2o12b2o4b2o3bob4o5b3o16bo2b2o6b2o2bo
14b2o4b2o23b2o4b2o14b3o6b2o4b2ob2o4b2o6b3o$202b3o17b3o17b3o18b2o89bo2b
o22b3o25b3o8b3o16b3o29b3o4b2o21b2o26b2o4b2o24b2o11b3o21b2o26b2o4b2o33b
2o52b3o5b3o17b2obo5bo4b2o22b2o3b2o18b2o4b2o3b2o25b2o3b2o4b2o16b3o8b3o
4b2o21b3o11b2o3b2o4b2o18b2o2b2obo2bo27bob2o2b2obo23b2o23b2o29b2o13b2o$
222b3o17b3o20b3o86b4o50b3o27b3o29b3o6b3o20b3o23b2o32b3o8b3o15b2o4b2o
26b2o4b2o30b3o82b2o8bob2o21b3o5b2o4b2o12b2o11b3o19b3o5b2o4b2o27b3o6b3o
18b3o8b3o11b2o15b3o37b2obo4bob2o19b3o27b3o28b3o7b3o$265b3o211b3o20b3o
25b3o29b3o26b2o4b2o26b2o36b3o94b2o21b3o5b2o4b2o14b3o8b3o19b3o5b2o42b3o
29b3o8b3o17b3o40bo4bo22b3o27b3o28b3o7b3o$356b2o172b3o58b2o34b3o167b2o
14b3o40b3o82b3o28b3o29bob2obo$356b2o235b3o31b3o164b3o59b3o31b3o79b3o
28b2ob2ob2o21b3o27b3o28b3o7b3o$593b3o198b3o93b3o82b2o55b3o27b3o28b3o7b
3o$893b2o35b3o36b2o4b2o58b2o23b2o29b2o13b2o$887b2o4b2o35b3o36b2o4b2o
52b2o4b2o23b2o4b2o14b3o6b2o4b2ob2o4b2o6b3o$887b2o4b2o33b2o39b2o58b2o4b
2o23b2o4b2o14b3o6b2o4b2ob2o4b2o6b3o$887b2o39b2o4b2o35b3o55b2o35b2o12b
2o15b2ob2o15b2o$889b3o36b2o4b2o35b3o57b3o29b3o14b2o4b2o6b3o5b3o6b2o4b
2o$889b3o42b2o95b3o29b3o14b2o4b2o6b3o5b3o6b2o4b2o$931b3o152b2o23b2o$
931b3o149b3o27b3o$1032b3o27b3o18b3o27b3o$1032b3o8b3o5b3o8b3o25b3o13b3o
$1030b2o11b3o5b3o11b2o23b3o13b3o$1030b2o4b2o8b2ob2o8b2o4b2o21b2o19b2o$
1030b2o4b2o2b2o4b2ob2o4b2o2b2o4b2o21b2o4b2o7b2o4b2o$1036b2o2b2o4b2ob2o
4b2o2b2o27b2o4b2o7b2o4b2o$1033b3o4b2o13b2o4b3o30b2o7b2o$1033b3o6b3o7b
3o6b3o27b3o11b3o$1042b3o7b3o36b3o11b3o23$2b3o2b3o2$2b3o2b3o2$2b2ob2ob
2o$2b2ob2ob2o2$2b3o2b3o2$2b3o2b3o22$32bo16b2o$2o12b2o16b2o15b3o2b2o$b
2o12b2o15bo2b3o16b2o16b2o2b2o$bo13bo20bo17bo16bo2b2o2bo$b2o12b2o14bo
17bo21b2ob2ob2o$30b3o2bo12b2o19b2o2bo2bo2b2o$17b2o15b2o12b2o2b3o13bobo
2bo2bo2bobo$18bo16bo17b2o13bo2b2o4b2o2bo$18b2o49b2o8b2o$18b2o49b2o8b2o
$68bo2b2o4b2o2bo$68bobo2bo2bo2bobo$69b2o2bo2bo2b2o$71b2ob2ob2o$71bo2b
2o2bo$72b2o2b2o23$b2o7bo$bo8b3o$2o10bo$5b2o$5b2o$5bob3o$3b2o3b2o$3b3ob
o$6b2o$6b2o$o10b2o$3o8bo$2bo7b2o21$2o6b2o13b2o$o2b2o4bo13bo24bob2o$2b
2o3bo14b2o6b2o18b2o$7b2o13bo2b2o4b3o$8bo15b2o3bo3bo11bo3b4o$bo27b2o17b
o4bo$b2o27bo14b2obob2obob2o$2bo3b2o15bo21b2obob2obob2o$o4b2o2bo13b2o
23bo4bo$2o6b2o10bo3bo3b2o19b4o3bo$20b3o4b2o2bo$22b2o6b2o18b2o$30bo19b
2obo$29b2o24$8bo2bo26bo2bo$7bob2obo24bob2obo$6b2ob2ob2o22b2ob2ob2o$5bo
2bo2bo2bo20bo2bo2bo2bo$4b2o2bo2bo2b2o18b2o2bo2bo2b2o$3bo2b2o4b2o2bo16b
o2b2ob2ob2o2bo$4b2o8b2o18b2o2bo2bo2b2o$4b2o8b2o18b2o2bo2bo2b2o$3bo2b2o
4b2o2bo16bo2b2ob2ob2o2bo$4b2o2bo2bo2b2o18b2o2bo2bo2b2o$5bo2bo2bo2bo20b
o2bo2bo2bo$6b2ob2ob2o22b2ob2ob2o$7bob2obo24bob2obo$8bo2bo26bo2bo25$31b
2o$31bo$30bo$30b3o$2bo2bobo$2b3ob3o18b2o$2bo22b2obo$4b5o16bo2bo7bo2bo$
4b2o30bob2o$36b2o2$32b3o$34bo$33bo$32b2o31$15b3o$15b3o2b2o$15bo4b2o$
17bo$17bobobo2$9b3o$9b2o$9b2ob2o11bob2o$27b2o$13bo11bo$10b2o$10b2obo
11b2ob2o$28b2o$27b3o2$17bobobo$21bo$17b2o4bo$17b2o2b3o$21b3o35$6bo11bo
22bo11bo$5b3o9b3o20b3o9b3o$5bo2bo7bo2bo20bo2bo7bo2bo$6bob2o5b2obo22bob
2o5b2obo$7b2o7b2o24b2o7b2o2$3b2o15b2o16b2o15b2o$3b2o15b2o16b2o15b2o10$
38b2o15b2o$38b2o15b2o2$42b2o7b2o$41bob2o5b2obo$40bo2bo7bo2bo$40b3o9b3o
$41bo11bo34$525b2o16b2o60bo19bo$83b3o16b3o419bobo16bobo59b2o17b2o$17b
2ob2o11b2ob2o45b3o16b3o116b3o18b3o48b3o19b3o208bo16bo60bobo17bobo52b3o
13b3o53b3o18b3o60b3o19b3o62b2o20b2o64b2o21b2o$17b2ob2o11b2ob2o44bo22bo
45b3obo13bob3o47b3o18b3o48b3o19b3o49b3o20b3o50b3o21b3o209bobo13bobo55b
o18bo64bo19bo63bobo20bobo62bobo21bobo64bo24bo$20b2o11b2o44b2obob2o16b
2obob2o42b2o19b2o46bo24bo46bo25bo48b3o20b3o50b3o21b3o134bobo17bobo51bo
2bo13bo2bo53bo20bo62bo21bo64bo20bo66bo21bo66b2o22b2o$16bob2o15b2obo41b
o3b2o16b2o3bo46b2o13b2o46b2obob2o18b2obob2o40b2obob2o19b2obob2o44bo26b
o48bo27bo208b2o15b2o53bobo18bobo60bobo19bobo239bobo22bobo$15b2o21b2o
37bo3b2o22b2o3bo38b5obo13bob5o42bo3b2o18b2o3bo42bo3b2o19b2o3bo42b2obob
2o20b2obob2o42b2obob2o21b2obob2o132bo17bo52b2o19b2o51bobo18bobo60bobo
19bobo$14bo2b2o17b2o2bo36b2o2bo24bo2b2o42b2o15b2o43bo3b2o24b2o3bo36bo
3b2o25b2o3bo40bo3b2o20b2o3bo44bo3b2o21b2o3bo204b2o19b2o399bobo22bobo$
13b2o3bo17bo3b2o37b2o26b2o38bo4b2o17b2o4bo37b2o2bo26bo2b2o36b2o2bo27bo
2b2o37bo3b2o26b2o3bo38bo3b2o27b2o3bo199b2o23b2o50b2o18b2o62b2o19b2o$
10b2o3bo23bo3b2o31b2obo28bob2o35bo29bo39b2o28b2o40b2o29b2o39b2o2bo28bo
2b2o38b2o2bo29bo2b2o48bo20bo127bob2obobo15bobob2obo397bo22bo$10b2obob
2o21b2obob2o29b2o36b2o30b2obo4bo19bo4bob2o33b2obo30bob2o34b2obo31bob2o
38b2o30b2o42b2o31b2o49b3o18b3o56b3o19b3o43b2obo5bo15bo5bob2o$13bo27bo
32b2ob2o30b2ob2o30b2obobobo21bobobob2o31b2o38b2o30b2o39b2o33b2obo32bob
2o36b2obo33bob2o46bobo18bobo56b2o2bo15bo2b2o43bo2bo3b2o8bo8b2o3bo2bo
215bo24bo62bo25bo$10b3o29b3o29b2ob2o30b2ob2o30bo2b3o25b3o2bo31b2ob2o
32b2ob2o30b2ob2o33b2ob2o31b2o40b2o32b2o41b2o44b2ob3o12b3ob2o60bo15bo
47b3o14bo14b3o43b5o18b5o56b5o19b5o58b3o22b3o60b3o23b3o$10b3o29b3o101bo
bo27bobo33b2ob2o32b2ob2o30b2ob2o33b2ob2o31b2ob2o34b2ob2o32b2ob2o35b2ob
2o125bo2bo15bo2bo61bo62b4o16b4o60b4o17b4o60bobo22bobo60bobo23bobo61b3o
24b3o$144bob2o29b2obo177b2ob2o34b2ob2o32b2ob2o35b2ob2o273b2o18b2o62b2o
19b2o61b2ob3o16b3ob2o60b2ob3o17b3ob2o61b2o2bo20bo2b2o$518b3o28b3o46b2o
31b2o113bo32bo50bo33bo237bo20bo$509bo7b2obo28bob2o7bo29bobo5b2obo27bob
2o5bobo105bo32bo50bo33bo234bo2bo20bo2bo$508bo9b2o30b2o9bo26b2o8bo33bo
8b2o93bo2b2o5b2o30b2o5b2o2bo30bo2b2o5b2o31b2o5b2o2bo40b3o32b3o50b3o33b
3o$508b3o9bo28bo9b3o27b2obobo41bobob2o94bobo3bo3b3o28b3o3bo3bobo30bobo
3bo3b3o29b3o3bo3bobo31bo7b2obo32bob2o7bo32bo7b2obo33bob2o7bo42b2o36b2o
$520bo28bo49b3o27b3o48b3o11b3o39b2ob2obo3b3o28b3o3bob2ob2o30b2ob2obo3b
3o29b3o3bob2ob2o30bo9b2o34b2o9bo30bo9b2o35b2o9bo33bobo5b2obo32bob2o5bo
bo$520bo28bo197bo30bo52bo31bo41b3o9bo32bo9b3o30b3o9bo33bo9b3o31b2o8bo
38bo8b2o$917bo32bo54bo33bo44b2obobo46bobob2o$917bo32bo54bo33bo54b3o32b
3o3$10b3o29b3o643bo$10b3o29b3o626b3o14bo14b3o$13bo27bo629bo2bo3b2o8bo
8b2o3bo2bo$10b2obob2o21b2obob2o99bob2o29b2obo490b2obo5bo15bo5bob2o$10b
2o3bo23bo3b2o29b2ob2o30b2ob2o32bobo27bobo494bob2obobo15bobob2obo$13b2o
3bo17bo3b2o32b2ob2o30b2ob2o30bo2b3o25b3o2bo494b2o23b2o$14bo2b2o17b2o2b
o33b2o36b2o30b2obobobo21bobobob2o496b2o19b2o$15b2o21b2o36b2obo28bob2o
32b2obo4bo19bo4bob2o31b2ob2o32b2ob2o423b2o19b2o$16bob2o15b2obo40b2o26b
2o38bo29bo34b2ob2o32b2ob2o30b2ob2o33b2ob2o193bo28bo129b2o15b2o$20b2o
11b2o42b2o2bo24bo2b2o36bo4b2o17b2o4bo34b2o38b2o30b2ob2o33b2ob2o193bo
28bo128bo2bo13bo2bo$17b2ob2o11b2ob2o39bo3b2o22b2o3bo42b2o15b2o42b2obo
30bob2o32b2o39b2o31b2ob2o34b2ob2o106b3o9bo28bo9b3o37b3o27b3o47bobo13bo
bo$17b2ob2o11b2ob2o42bo3b2o16b2o3bo41b5obo13bob5o41b2o28b2o37b2obo31bo
b2o33b2ob2o34b2ob2o32b2ob2o35b2ob2o29bo9b2o30b2o9bo27b2obobo41bobob2o
37b3o13b3o$79b2obob2o16b2obob2o45b2o13b2o44b2o2bo26bo2b2o38b2o29b2o36b
2o40b2o32b2ob2o35b2ob2o30bo7b2obo28bob2o7bo27b2o8bo33bo8b2o104bo30bo$
82bo22bo45b2o19b2o41bo3b2o24b2o3bo36b2o2bo27bo2b2o36b2obo32bob2o34b2o
41b2o39b3o28b3o38bobo5b2obo27bob2o5bobo95b2ob2obo3b3o28b3o3bob2ob2o41b
o31bo$83b3o16b3o46b3obo13bob3o44bo3b2o18b2o3bo39bo3b2o25b2o3bo39b2o30b
2o39b2obo33bob2o121b2o31b2o103bobo3bo3b3o28b3o3bo3bobo30b2ob2obo3b3o
29b3o3bob2ob2o42bo32bo$83b3o16b3o112b2obob2o18b2obob2o41bo3b2o19b2o3bo
40b2o2bo28bo2b2o40b2o31b2o262bo2b2o5b2o30b2o5b2o2bo30bobo3bo3b3o29b3o
3bo3bobo42bo32bo54bo33bo$220bo24bo43b2obob2o19b2obob2o39bo3b2o26b2o3bo
38b2o2bo29bo2b2o47b2ob3o12b3ob2o57bo2bo15bo2bo119bo32bo40bo2b2o5b2o31b
2o5b2o2bo30b3o9bo32bo9b3o42bo33bo$221b3o18b3o47bo25bo45bo3b2o20b2o3bo
41bo3b2o27b2o3bo47bobo18bobo60bo15bo122bo32bo50bo33bo40bo9b2o34b2o9bo
30b3o9bo33bo9b3o$221b3o18b3o48b3o19b3o45b2obob2o20b2obob2o43bo3b2o21b
2o3bo50b3o18b3o56b2o2bo15bo2b2o124b2o18b2o56bo33bo41bo7b2obo32bob2o7bo
31bo9b2o35b2o9bo42b3o32b3o$293b3o19b3o48bo26bo45b2obob2o21b2obob2o50bo
20bo57b3o19b3o123b4o16b4o61b2o19b2o56b3o32b3o41bo7b2obo33bob2o7bo33b2o
bobo46bobob2o$367b3o20b3o49bo27bo278b5o18b5o58b4o17b4o143b3o33b3o41b2o
8bo38bo8b2o$367b3o20b3o50b3o21b3o363b5o19b5o223bobo5b2obo32bob2o5bobo$
443b3o21b3o450b2ob3o16b3ob2o145b2o36b2o$606bo17bo295bobo22bobo60b2ob3o
17b3ob2o$752b2o18b2o146b3o22b3o60bobo23bobo62bo2bo20bo2bo$604bobo17bob
o209b2o19b2o62bo24bo61b3o23b3o65bo20bo$526bo16bo207bobo18bobo234bo25bo
62b2o2bo20bo2b2o$524bobo16bobo58bobo17bobo124bobo18bobo60bobo19bobo
238b3o24b3o$525b2o16b2o60b2o17b2o126bo20bo61bobo19bobo$605bo19bo127bo
18bo63bo21bo$751b3o18b3o62bo19bo$835b3o19b3o241bo22bo$923bo20bo$921bob
o20bobo64bo21bo65bobo22bobo$922b2o20b2o63bobo21bobo$1010b2o21b2o64bobo
22bobo$1100b2o22b2o$1100bo24bo32$bo15bobo12b2o16bobo13bob2o12bob2o12bo
b2o12b2o53bo19bo18bo36bobo17bo38b2o16bob2o15bobo15bob2o17b2o17bobo16bo
bo17bo17bobo$2bo14bobo11b4o15b3o14b2o11bo2b2o14b2o11bo2bo54bo19bo15bob
o11bobo23b2o18bo13b4o19b3o17b2o16bobo16b2o17b3o17bobo16b3o18bo16bobo
11b2o3bo15b2o3b2o74b2o$3o12bo2b2o11b2ob2o12bo2bo12b2o15bo15bo18bo15b2o
16b2o16b3o17b3o16b2o11bob2o2b2o18bo17b3o14bo3bo14b2o40b2o56b2o17bo17b
3o17b2o11b2obo3bo13b2obo4bo16b2o15b2o16b2o17b2ob2o15b6o15b2o$16bo16b2o
14bo15b2o13b2o14b2o14b2o3bo11b3ob2o11b4ob2o13bo37b2o19b4o14b2o33b2o6bo
15bo16bob2o16b2o17b2o18bo18b2o17b2o60bo21bo12b3ob2o11b3ob2o11b4ob2o16b
4o15bo5bo12b3ob2o$14b3o30b3o14b2o14bo15b2o17b3o11b5o12b6o35bo17b2o18b
2ob2o14b2o17bo16bo3b3o13b3o17b2o16b3o16b3o16b3o17b3o16b3o18bo16bob2o
16bo4bo15bo5bo12b5o12b5o12b6o12bob2o2b2o22bo12b5o$130b3o14b4o14b3o17b
3o16b2o21b2o14b2o17b2o14b3o37bo55bo2b2o15bo39b3o17b2o18b5o16b6o13b3o
14b3o14b4o13bobo18b2obo4bo14b3o$166bo16bo2b2o14bo38bo20b2o35bo17b2o18b
o18bo18bo17b2o19bo17bo2b2o15bo133b2o3b2o$165bo18bo18bo38bo16b2o37b2o
17b2o17b2o17b2o16b3o17b2o18b2o18bo17b2o78b3o14b4o13bobo41b3o$166bo15b
3o17b2o37b2o17b2o36b2o36b2o17b2o56b2o17b2o17b2o61b3o13b5o12b6o12bob2o
2b2o13b2o3b2o15b5o$164b3o35bo38bo17b2o171bo80b5o12b3ob2o11b4ob2o16b4o
12b2obo4bo13b3ob2o$513b3ob2o14b2o16b2o17b2ob2o20bo15b2o$516b2o54b2o15b
o5bo$590b6o12bobo2$611b2o$608b3ob2o$608b5o$609b3o2$609b3o$608b5o$608b
3ob2o$611b2o23$2bo15bo26bo22bo41bo22bo$2bo16b2o24bo23b2o13bo2bo5bo16bo
23b2o39b3o$bo42bo40bob2o4bo15bo8bo54b2ob2o$b3o14b3o23b3o21b3o14bobo4bo
16b3o3bo17b3o40b2o$b3o15bo24b3o22bo22b3o14b3o3bobo16bo4b2o$92b3o22b2o
20bobo$23bo37b2o53b3o19b2obo27bo$21b4o14b3o22bo74bobo27bo$21bo3bo11b2o
b2o20b3o75bo27bo$22b3o15b2o18bo2b2o103b3o$168b3o3$163b3o$161b2ob2o$
164b2o3$157bo$157bo$156bo$156b3o$156b3o23$4b2o60b2o$4b2o60b2o2$4b2ob2o
57b2ob2o$4b2o2bo18b2ob2o34b2o2bo$27b2ob2o$30b2o$30b2o$30b2o6$27bo$25b
3o23b2ob2o$25bobo23b2ob2o2$54bo$54b2o!
Last edited by confocaloid on May 2nd, 2025, 5:47 pm, edited 2 times in total.
127:1 B3/S234c User:Confocal/R (isotropic CA, incomplete)
Unlikely events happen.
My silence does not imply agreement, nor indifference. If I disagreed with something in the past, then please do not construe my silence as something that could change that.
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islptng
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by islptng »

Nice explosive Generations rule with c/(n+1)o's, 4c/(2n+6)o's, c/2 puffers, and unknown speed diagonal wickstretchers. (n is the number of states.)

Code: Select all

x = 1, y = 1, rule = 12-ai3-e/3-n4-t/8
! [[ RANDOMIZE ]]
It's more-state variants looks also interesting. Have a look at the 247th variant:

Code: Select all

x = 1, y = 1, rule = 12-ai3-e/3-n4-t/256
! [[ RANDOMIZE2 ]]
Subtracting B3j and we get a faster ship and less wickstretchers:

Code: Select all

x = 1, y = 1, rule = 12-ai3-e/3-jn4-t/8
! [[ RANDOMIZE ]]

Code: Select all

x = 1, y = 1, rule = 12-ai3-e/3-jn4-t/256
! [[ RANDOMIZE2 ]]
Last edited by islptng on April 28th, 2025, 9:19 pm, edited 1 time in total.
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PiSpaceships
Posts: 218
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by PiSpaceships »

Nice clean spacefiller in a non-explosive rule:

Code: Select all

x = 12, y = 5, rule = B1e4r6a/S01235678
12o$4b2o$5b2o$4b2o$12o!
Last edited by PiSpaceships on April 21st, 2025, 10:18 am, edited 1 time in total.
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confocaloid
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by confocaloid »

edit: a modification of that quadratically growing object is compatible with the glider from CGoL:

Code: Select all

x = 53, y = 22, rule = R3,C0,S132-285,385-432,434-625,627-666,668-685,697-785,797-811,813-887,890-935,1010-1044,1048-1052,1054-1061,1068-1160,1163,1167,1172-1327,1330-1437,1440-1461,1500-1554,1556-1560,B136,157,257,261,280,286,434,466,530,552,601,642,702,780,787,815,818,860,912,1047,1052,1068,1155,1281,1291,1307,1381,1405,1483,1530,1536,1656,1711,1757,NW7D7D0019007D7D7D007D7D7D007D007D0105017D00197D0500057D19007D0105017D007D007D7D7D007D7D7D0019007D7D
bo$2bo$3o9$48bo3bo$48bo3bo$48bobobo$48b5o$48b5o$49b3o$49b3o$50bo$50bo2$49b3o!
#C [[ GRID THEME MCell ]]
By itself, it can be "captured" using a range-1 fully-symmetric weighted neighbourhood:

Code: Select all

x = 5, y = 11, rule = R1,C0,S0-11,17-24,B5,18,NW151505151
o3bo$o3bo$obobo$5o$5o$b3o$b3o$2bo$2bo2$b3o!
#C [[ GRID THEME MCell ]]
PiSpaceships wrote: April 21st, 2025, 2:02 am Nice clean breeder [...]
It looks much more like a (quadratic growth) spacefiller, rather than a breeder.

The posted pattern grows by producing lines that continue to interact with each other (overpopulated dead cells), and moreover, each such line grows by increasing its length while remaining connected (rather than growing by producing independent noninteracting objects). Simplified form:

Code: Select all

x = 14, y = 5, rule = B1e4r6a/S01235678
6b8o$o3b4o$ob7o$o3b4o$6b8o!
(While a breeder would instead produce an infinite sequence of separate growing objects, and each of those separate growing objects would independently produce an infinite sequence of separate objects.)
127:1 B3/S234c User:Confocal/R (isotropic CA, incomplete)
Unlikely events happen.
My silence does not imply agreement, nor indifference. If I disagreed with something in the past, then please do not construe my silence as something that could change that.
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hotcrystal0
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by hotcrystal0 »

Weird P18:

Code: Select all

x = 4, y = 5, rule = B2cei3aj5n/S02in34-ijz
o3$bobo$2o!
137 days until New York's age verification law goes into effect.

Code: Select all

x = 192, y = 53, rule = B3/S23
33$42b4o$41b6o$40b2ob4o$41b2o3$41b2o$39bo6bo$38bo8bo$38bo8bo$38b9o3$42b
4o$41b6o$40b2ob4o$41b2o!
WhiteHawk
Posts: 1374
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by WhiteHawk »

alien pentadecathlon puffer anyone?

Code: Select all

x = 18, y = 5, rule = B34e8/S234c5e
b3o11b3o$o2bo10bo2bo$3bo4b3o6bo$3bo4bo2bo5bo$2bo4bo8bo!
EDIT: surely this really clean puffer 2 variant is known?

Code: Select all

x = 18, y = 5, rule = B34e8/S234c
b3o11b3o$o2bo10bo2bo$3bo4b3o6bo$3bo4bo2bo5bo$2bo4bo8bo!
Currently working to improve Life's guns and work on updating SKOPs and Isotropic rules most similar to B3/S23 to Life standards. Will get software to begin searches eventually.

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splitterrules
Posts: 106
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by splitterrules »

OMOSMOS:

Code: Select all

x = 10, y = 28, rule = B3-cjnr4acin5acqy6cn7e/S2-in3-aky4inr5cjn6c7
$5b3o$5b3o$6bo$2b2o$2b3o$2b2o14$2b2o$2b3o$2b2o$6bo$5b3o$5b3o!
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LuveelVoom
Posts: 529
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by LuveelVoom »

splitterrules wrote: April 23rd, 2025, 3:47 pm OMOSMOS:

Code: Select all

x = 10, y = 28, rule = B3-cjnr4acin5acqy6cn7e/S2-in3-aky4inr5cjn6c7
$5b3o$5b3o$6bo$2b2o$2b3o$2b2o14$2b2o$2b3o$2b2o$6bo$5b3o$5b3o!
GMOOMOSMOS:

Code: Select all

 x = 86, y = 62, rule = B3-cjnr4acin5acqy6cn7e/S2-in3-aky4inr5cjn6c7
17$16bo2bo$16b2o$17b2o55b2o$18b2o55bo$72bo2bo$72b3o12$18b2o$17b2o$16b
2o54b3o$16bo2bo52bo2bo$75bo$74b2o!
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b-engine
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by b-engine »

LuveelVoom wrote: April 23rd, 2025, 6:35 pm GMOOMOSMOS:

Code: Select all

 x = 86, y = 62, rule = B3-cjnr4acin5acqy6cn7e/S2-in3-aky4inr5cjn6c7
17$16bo2bo$16b2o$17b2o55b2o$18b2o55bo$72bo2bo$72b3o12$18b2o$17b2o$16b
2o54b3o$16bo2bo52bo2bo$75bo$74b2o!
GOSMOSMOOMOSMOS:

Code: Select all

x = 96, y = 109, rule = B3-cjnr4acin5acqy6cn7e/S2-in3-aky4inr5cjn6c7
o2bo$2o$b2o55b2o$2b2o55bo$56bo2bo$56b3o12$2b2o$b2o$2o54b3o$o2bo52bo2b
o$59bo$58b2o27$75b2o17b2o$76b2o15b2o$77b2o13b2o$75bo2bo13bo2bo53$75b2o
13b2o$76bo13bo$73bo2bo13bo2bo$73b3o15b3o!
 
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by confocaloid »

b-engine wrote: April 23rd, 2025, 6:38 pm
LuveelVoom wrote: April 23rd, 2025, 6:35 pm GMOOMOSMOS: [...]
GOSMOSMOOMOSMOS: [...]
If I can count, that would be SMOS-producing GMOGMOOMOSMOS rather than what it was claimed to be.

That said, the more verbose "p424 gun shooting a spaceship made out of spaceships, and made out of guns made out of oscillators made out of spaceships made out of spaceships" is likely to be a significant improvement in terms of actually communicating something to a reader.
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by b-engine »

confocaloid wrote: April 23rd, 2025, 6:46 pm If I can count, that would be SMOS-producing GMOGMOOMOSMOS rather than what it was claimed to be.

That said, the more verbose "p424 gun shooting a spaceship made out of spaceships, and made out of guns made out of oscillators made out of spaceships made out of spaceships" is likely to be a significant improvement in terms of actually communicating something to a reader.
I mean, "Gun Of Spaceship Made Of Spaceships" Made Of Oscillators Made Of Spaceships Made OF Spaceships.

-

c/7 and 3c/30, both diagonal:

Code: Select all

x = 22, y = 4, rule = B3-j4cjr5aceky/S23-c4enty5ay7c
b3o15b3o$o18bo$o18bo$o!
EDIT:
Period 52 oscillator:

Code: Select all

x = 3, y = 5, rule = B3-j4cjr5aceky/S23-c4enty5ay7c
o$2o$3o$2o$o!
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by confocaloid »

A small collection of what some known objects and known reactions from CGoL are transformed into:

Code: Select all

x = 198, y = 61, rule = R3,C0,S21-41,49-76,84-104,126-132,B7,21,35-41,63-76,91-104,126-132,NW000000000000000000000000000000000E2A0E000000002A002A000000012A072A01000000010101000000000001000000
60bo15bo$58b2ob2o11b2ob2o$61b3o9b3o$61bo3b2o3b2o3bo$62bo3bo3bo3bo$89bo
19bo$64b3o3b3o15b2o19b2o$88bo2bo4b2o3b2o4bo2bo$65bo5bo20bob2obo3bob2ob
o$65bobobobo19bo15bo$65bo5bo21b4o5b4o79b2o$67bobo27b2ob2o81bo4bo$66b2o
b2o95bobo20bo$25bo38bo2bobo2bo25bobo64bo17bo5bo$23b3o36b2obobobobob2o
22bo3bo63bo3bo14b6o$22bo40bobobobobobo19b5o3b5o59bo$22b2o43bobo22b2o2b
2o3b2o2b2o58bo2bo$63b2o2bobo2b2o18bo5bobo5bo58b3o$62bo3bo3bo3bo15b4o2b
obobobo2b4o$64bo7bo24bo3bo$62bo11bo$61bo13bo$27b2o32bo13bo$4b3ob2o16bo
2bo31bo2bo7bo2bo$bo4b2o2b2o15b2o35bo7bo$2o5bo4bo50bobo5bobo$2o5bo4bo
51bo7bo$bo4b2o2b2o49b2o11b2o$4b3ob2o19b2o30b2o11b2o16bo15bo17b5o$27bo
2bo2b2o26b2o11b2o15b3o13b3o15bo5bo$26bob2o3bobo27bo9bo23b3ob3o19b3o5b
3o$26bo8bo27bo9bo15bo6bobo3bobo6bo10bo11bo$25b2o8b2o26b2o7b2o14bobobo
3bo7bo3bobobo9bob3obob4o$63b2o7b2o17bob2o2b3ob3o2b2obo13bo3b3o$65bo5bo
16bo23bo12bo5b2obo$65bo5bo16b2o4b2o9b2o4b2o11b2obobobob2o$66bo3bo17b2o
4b2o9b2o4b2o12bobo2bo63bo$65bo5bo53bo2b2o62bo3bo$124b2o71bo$192bo4bo$
193b5o4$194b4o$193bo3bo$197bo$193bo2bo4$116bo$116bo$100b3o13bo$100b3o
13bo$100b3o13bo14bo$97b3o16bo15bo$97b3o16bo13b3o$97b3o16bo35bo$116bo
33b2o$116bo34b2o!
LuveelVoom wrote: April 23rd, 2025, 7:06 pmLife, except: [...]
confocaloid wrote: April 23rd, 2025, 7:16 pmThe following could be interpreted in an implementable way, but it's unclear whether that matches the intended idea: [...]
confocaloid wrote: April 23rd, 2025, 7:41 pm Here is what I got; there may be bugs in CGoL:

Code: Select all

x = 88, y = 36, rule = R3,C0,S21-41,49-76,84-104,126-132,B7,21,35-41,63-76,91-104,126-132,NW000000000000000000000000000000000E2A0E000000002A002A000000012A072A01000000010101000000000001000000
3b2o$3b2o2$34b2o$34b2o5$87bo$85b3o$86bo$12b3o7b2o$12bo8bobo$13bo9bo7$
12bo9bo$12bobo8bo$12b2o7b3o8$2o$2o2$31b2o$31b2o!
#C [[ GRID ZOOM 4 THEME MCell ]]
To get plain CGoL, remove the birth conditions B7 and B21. I used the following weighted neighbourhood (the weights are given in decimal):

Code: Select all

-- -- -- -- -- -- --
-- -- -- -- -- -- --
-- -- 14 42 14 -- --
-- -- 42 -- 42 -- --
-- 01 42 07 42 01 --
-- -- 01 01 01 -- --
-- -- -- 01 -- -- --
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by LuveelVoom »

78L10:

Code: Select all

x = 35, y = 28, rule = R3,C2,S21-41,49-76,84-104,126-132,B7,21,35-41,63-76,91-104,126-132,NW000000000000000000000000000000000e2a0e000000002a002a000000012a072a01000000010101000000000001000000
12bo$12bo$12bo3$9b3obo7bob3o$15bo3bo2$8bo17bo$8bo17bo$8bo17bo3$11b2ob
o5bob2o$10bo3b2o3b2o3bo$8b3obo3bobo3bob3o$7bo4bobobobobobo4bo$8b5obob
obobob5o$13b2obobob2o$10b2o5bo5b2o$10bo13bo$11bo11bo$10b2o11b2o!
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by confocaloid »

A p46 glider gun, one barrel is capped by an eater 2, another barrel is "eventually capped" by first converting the glider into a dot (using a sparking eater) and then capping the resulting dot barrel

Code: Select all

x = 50, y = 50, rule = R3,C0,S21-41,49-76,84-104,126-132,B7,21,35-41,63-76,91-104,126-132,NW000000000000000000000000000000000E2A0E000000002A002A000000012A072A01000000010101000000000001000000
24bo$23bobo$23bobo$3b2o17b2ob2o$4bo$b3o$bo3$21bo5bo17bo$20b3o3b3o15bob
o$19b2obo3bob2o14bobo$43b2ob3o$49bo$22bo3bo16b2ob3o$22bo3bo16b2obo7$
33b3o$35bo$34bo$18bo$17bo$17b3o7$26bo3bo$26bo3bo3$23b2obo3bob2o$2o2b2o
18b3o3b3o$2o2bo3bo16bo5bo$5b4o2$7b2o$7b2o2$26b2ob2o$27bobo$27bobo$28bo!
#C [[ MAXGRIDSIZE 9 GRID THEME Catagolue ]]
LuveelVoom wrote: April 24th, 2025, 12:25 am There are indeed bugs.

Code: Select all

x = 20, y = 9, rule = R3,C2,S21-41,49-76,84-104,126-132,B7,21,35-41,63-76,91-104,126-132,NW000000000000000000000000000000000e2a0e000000002a002a000000012a072a01000000010101000000000001000000
3$7bo8bo2$8b8o$8bo6bo!
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by WhiteHawk »

Delete this message
Last edited by WhiteHawk on April 24th, 2025, 9:13 am, edited 1 time in total.
Currently working to improve Life's guns and work on updating SKOPs and Isotropic rules most similar to B3/S23 to Life standards. Will get software to begin searches eventually.

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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by confocaloid »

Already known; read the preceding discussion. The "dot rake" is shown in viewtopic.php?p=210556#p210556 as part of a small collection of what some known objects and known reactions from Conway's Life are transformed into in this cellular automaton.
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by LuveelVoom »

confocaloid wrote: April 24th, 2025, 8:28 am A p46 glider gun, one barrel is capped by an eater 2, another barrel is "eventually capped" by first converting the glider into a dot (using a sparking eater) and then capping the resulting dot barrel

Code: Select all

x = 50, y = 50, rule = R3,C0,S21-41,49-76,84-104,126-132,B7,21,35-41,63-76,91-104,126-132,NW000000000000000000000000000000000E2A0E000000002A002A000000012A072A01000000010101000000000001000000
24bo$23bobo$23bobo$3b2o17b2ob2o$4bo$b3o$bo3$21bo5bo17bo$20b3o3b3o15bob
o$19b2obo3bob2o14bobo$43b2ob3o$49bo$22bo3bo16b2ob3o$22bo3bo16b2obo7$
33b3o$35bo$34bo$18bo$17bo$17b3o7$26bo3bo$26bo3bo3$23b2obo3bob2o$2o2b2o
18b3o3b3o$2o2bo3bo16bo5bo$5b4o2$7b2o$7b2o2$26b2ob2o$27bobo$27bobo$28bo!
#C [[ MAXGRIDSIZE 9 GRID THEME Catagolue ]]
LuveelVoom wrote: April 24th, 2025, 12:25 am There are indeed bugs.

Code: Select all

x = 20, y = 9, rule = R3,C2,S21-41,49-76,84-104,126-132,B7,21,35-41,63-76,91-104,126-132,NW000000000000000000000000000000000e2a0e000000002a002a000000012a072a01000000010101000000000001000000
3$7bo8bo2$8b8o$8bo6bo!
Due to lack of B2i, tub serves as a much smaller dot eater. Since beehive plus dot equals bun, could that be a potential start on a dot to glider?
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by confocaloid »

LuveelVoom wrote: April 24th, 2025, 11:02 am [...] Since beehive plus dot equals bun, could that be a potential start on a dot to glider?
Well, I did check the forum thread viewtopic.php?f=2&t=5821 "The Hunting of the Spark Conduits" and didn't find anything that would work as-is, but it might be possible to modify something to make it work in this context, it looks plauslble that a stable "upwards dot"-to-glider spaceship converter exists in this CA, but "looks plausible" doesn't imply "is true" and I guess that would remain an open problem for some time.
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by silversmith »

confocaloid wrote: April 24th, 2025, 8:28 am A p46 glider gun, one barrel is capped by an eater 2, another barrel is "eventually capped" by first converting the glider into a dot (using a sparking eater) and then capping the resulting dot barrel
A partial of an upward dot-to-glider converter based on codeholic's lwss-to-g

Code: Select all

x = 21, y = 18, rule = R3,C2,S21-41,49-76,84-104,126-132,B7,21,35-41,63-76,91-104,126-132,NW000000000000000000000000000000000e2a0e000000002a002a000000012a072a01000000010101000000000001000000
5b2o$5bobo11b2o$6b2o11bo$17bobo$17b2o4$9bo$8bobo$8bobo$9bo$2b2o11b2o$
bobo11bobo$bo15bo$2o15b2o2$10bo!
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by islptng »

Presenting CataMiniFlakes --

Code: Select all

#C Small c/3o found by rlifesrc
x = 18, y = 9, rule = B2i3-knqr4cikyz5cjkry6kn7/S1e2ci3-ekq4ijqwyz5-cei6ekn7
bo2bo2bo3bobo$4o2bob2o2bobo$bob2obo2bob4o$7bob3o2b2o$2b2o3b2ob2obo3bo$
7bob3o2b2o$bob2obo2bob4o$4o2bob2o2bobo$bo2bo2bo3bobo!

Code: Select all

#R B2i3-knqr4cikyz5cjkry6kn7/S1e2ci3-ekq4ijqwyz5-cei6ekn7
! [[ RANDOMIZE ]]
Gun:

Code: Select all

x = 12, y = 4, rule = B2i3-knqr4cikyz5cjkry6kn7/S1e2ci3-ekq4ijqwyz5-cei6ekn7
6bo3bo$2b2o2bo2b3o$6bo3bo$2o!
[Edit 1] Caber Tosser:

Code: Select all

x = 105, y = 35, rule = B2i3-knqr4cikyz5cjkry6kn7/S1e2ci3-ekq4ijqwyz5-cei6ekn7
4bo2bo$4bobobo15bo$3bo5bob2o11b2o$4bobobo15bo$2o2bo2bo2$91bo3b2o4b2o$
89b9ob2o2b2o$90b2ob3o4b3o$46bo42b4o2bo3bobo$32bobo11b2o29bo9b5ob2ob4o
2bo$27b2o3bo2bobo6b2obo29b2o10b4o2bo3bobo$32bobo10b3obo27bo12b2ob3o4b
3o$25b2o62b9ob2o2b2o$91bo3b2o4b2o8$49bo$49bo$47b2ob2o$49bo2$48b3o$48bo
bo$48b3o$49bo$49bo$49bo$51bo$51bo!
Edit 2: I wrote "sawtooth" instead of "caber tosser." Fixed.
Last edited by islptng on April 25th, 2025, 8:42 am, edited 2 times in total.
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by b-engine »

islptng wrote: April 24th, 2025, 11:00 pm Presenting CataMiniFlakes --
c/11 spaceship:

Code: Select all

x = 4, y = 4, rule = B2i3-knqr4cikyz5cjkry6kn7/S1e2ci3-ekq4ijqwyz5-cei6ekn7
3o$2b2o$3bo$3bo!
Why the rulestring is longer than the RLE itself?
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