Thread For Your Useless Discoveries

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.
wwei47
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Re: Thread For Your Useless Discoveries

Post by wwei47 » June 12th, 2021, 1:39 pm

More random results from running dr on a Herschel

Code: Select all

x = 41, y = 20, rule = B3/S23
8bo27bo$7bobo24b3o$b2o5bobob2o19bo$bobo6bob2o19b2o$3bo6bo14b2o$ob2o3b
2obo14bobo$2o4bo2bo17bo$7b2o15bob2o$24b2o$7b4o$8bo2bo21b2o$6bo3b2o21bo
bob2obo$6b2o26b2obob2o3$33b2o$33b2o2b2o$37bobo$39bo$39b2o!

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EvinZL
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Re: Thread For Your Useless Discoveries

Post by EvinZL » June 12th, 2021, 2:06 pm

wwei47 wrote:
June 12th, 2021, 1:39 pm
More random results from running dr on a Herschel

Code: Select all

x = 41, y = 20, rule = B3/S23
8bo27bo$7bobo24b3o$b2o5bobob2o19bo$bobo6bob2o19b2o$3bo6bo14b2o$ob2o3b
2obo14bobo$2o4bo2bo17bo$7b2o15bob2o$24b2o$7b4o$8bo2bo21b2o$6bo3b2o21bo
bob2obo$6b2o26b2obob2o3$33b2o$33b2o2b2o$37bobo$39bo$39b2o!
The first one seems familiar for some reason. The second one is an unusual ship+eater variant.

wwei47
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Re: Thread For Your Useless Discoveries

Post by wwei47 » June 12th, 2021, 2:44 pm

dr turned up something weird:

Code: Select all

x = 21, y = 13, rule = LifeHistory
13.2A$13.A$11.A.A$5.2A4.2A$5.A.A$7.A$4.A.2A8.2E$4.2A5.2A2.E.E$11.2A2.
E$16.4E$2A9.2A7.E$2A9.2A3.2E.E$16.2E.2E!

MathAndCode
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Re: Thread For Your Useless Discoveries

Post by MathAndCode » June 12th, 2021, 4:57 pm

wwei47 wrote:
June 12th, 2021, 2:44 pm
dr turned up something weird:
Is there any particular reason that you're using dr and not Bellman?
I have historically worked on conduits, but recently, I've been working on glider syntheses and investigating SnakeLife.

wwei47
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Re: Thread For Your Useless Discoveries

Post by wwei47 » June 12th, 2021, 4:59 pm

MathAndCode wrote:
June 12th, 2021, 4:57 pm
Is there any particular reason that you're using dr and not Bellman?
Because dr can simultaneously search for catalysts and oscillators-I've found at least three billiard tables from catalyst searches. Bellman would overlook those.
EDIT: More of a historical thing, but dr was Bellman before Bellman was Bellman-the stable diuresis eater was found using dr.

Code: Select all

x = 28, y = 25, rule = B3/S23
4b2o16b2o$2bo2bo16bo2bo$2b2obobo12bobob2o$3bo2b2o12b2o2bo$3bo20bo$bob
2o18b2obo$obo2bo10b2o4bo2bobo$o3bo10bobo5bo3bo$b3o10b2o8b3o$4b3o8b2o4b
3o$3bo2bo14bo2bo$3b2o18b2o2$3b2o18b2o$3bo2bo14bo2bo$4b3o8b2o4b3o$b3o
10b2o8b3o$o3bo10bobo5bo3bo$obo2bo10b2o4bo2bobo$bob2o18b2obo$3bo20bo$3b
o2b2o12b2o2bo$2b2obobo12bobob2o$2bo2bo16bo2bo$4b2o16b2o!

pzq_alex
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Re: Thread For Your Useless Discoveries

Post by pzq_alex » June 12th, 2021, 5:36 pm

Code: Select all

x = 9, y = 6, rule = B3/S23
b2o$o2bo$obo3bo$bo4b2o$8bo$7b2o!

Code: Select all

x = 6, y = 10, rule = B3/S23
2o$2o6$3b3o$3bobo$3bobo!
Probably both known.
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hotcrystal0
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Re: Thread For Your Useless Discoveries

Post by hotcrystal0 » June 12th, 2021, 6:14 pm

wwei47 wrote:
June 11th, 2021, 8:14 pm
Random result from running dr on a Herschel:

Code: Select all

x = 14, y = 12, rule = B3/S23
12b2o$11bobo$11bo$b2o7b2o$bobo2b2o$3bo2bobo$ob2o4bo$2o5bo3bo$8b4o2$10b
2o$10b2o!
Extra block taken away

Code: Select all

x = 19, y = 14, rule = B3/S23
17b2o$16bobo$16bo$6b2o7b2o$6bobo2b2o$8bo2bobo$5bob2o4bo$5b2o5bo3bo$13b
4o2$2b2o11b2o$3bo11b2o$3o$o!

Code: Select all

x = 192, y = 53, rule = Conway's Life
33$42b4o$41b6o$40b2ob4o$41b2o3$41b2o$39bo6bo$38bo8bo$38bo8bo$38b9o3$42b
4o$41b6o$40b2ob4o$41b2o!

Code: Select all

x = 12, y = 12, rule = B3-ckq4cj5c8/S2-i34c5e
2b2o3b3o$3bo3bo2bo$o$2o5bo3bo$7b4o$8bo2$2ob2o$o3b2o$o3bo$bo2bo$3bo!

MathAndCode
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Re: Thread For Your Useless Discoveries

Post by MathAndCode » June 12th, 2021, 7:17 pm

hotcrystal0 wrote:
June 11th, 2021, 5:03 pm
Simpler LWSS releasing methuselah

Code: Select all

x = 40, y = 13, rule = B3/S23
2o35b2o$obo34bobo$b2o35b2o8$17b3o$18bo$18b3o!
MathAndCode wrote:
June 11th, 2021, 7:31 pm
This has fewer cells.

Code: Select all

x = 12, y = 20, rule = B3/S23
7bo$6b2o5$bo$2o8$8bo$9bo$9bobo$10bo$10bo!


Edit: This post has two examples of eleven-cell LWSS-releasing methuselahs.

Code: Select all

x = 5, y = 8, rule = B3/S23
o$b2o$bo2$3b2o$bo2bo$4bo$b2o!

Code: Select all

x = 8, y = 5, rule = B3/S23
3bo3bo$5b3o$4o2bo2$bo!
A for awesome wrote:
June 11th, 2021, 10:44 pm
If you want an even smaller example, there's a well-known nonomino with an 8-cell parent:

Code: Select all

x = 5, y = 4, rule = B3/S23
bo$3o$o2b2o$2bo!
pzq_alex wrote:
June 12th, 2021, 5:36 pm

Code: Select all

x = 9, y = 6, rule = B3/S23
b2o$o2bo$obo3bo$bo4b2o$8bo$7b2o!

Code: Select all

x = 6, y = 10, rule = B3/S23
2o$2o6$3b3o$3bobo$3bobo!
Probably both known.
Why do LWSSes tend to form just as or right after the c/2 forward movement mechanism forms instead of from c/2 forward movement mechanisms that have been going for a while?
I have historically worked on conduits, but recently, I've been working on glider syntheses and investigating SnakeLife.

wwei47
Posts: 931
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Re: Thread For Your Useless Discoveries

Post by wwei47 » June 12th, 2021, 8:50 pm

Apparently a snake can reinforce an eater 3, fascinating!

Code: Select all

x = 21, y = 36, rule = B3/S23
b2o7b2obo$bobo6bob2o$3bo$ob2o$2o16$b2o7b2obo$bobo6bob2o$3bo$ob2o$2o8b
2o$9bo2bo2b2o$9bobo4bo2bo$10bo5bobobo$13b2obo2bo$13bo2bo$10bo4bo$10b5o
2$12bo$11bobo$12bo!
EDIT: I meant that an eater 3 can reinforce a snake.

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Entity Valkyrie 2
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Re: Thread For Your Useless Discoveries

Post by Entity Valkyrie 2 » June 12th, 2021, 9:13 pm

wwei47 wrote:
June 12th, 2021, 8:50 pm
Apparently a snake can reinforce an eater 3, fascinating!

Code: Select all

x = 21, y = 36, rule = B3/S23
b2o7b2obo$bobo6bob2o$3bo$ob2o$2o16$b2o7b2obo$bobo6bob2o$3bo$ob2o$2o8b
2o$9bo2bo2b2o$9bobo4bo2bo$10bo5bobobo$13b2obo2bo$13bo2bo$10bo4bo$10b5o
2$12bo$11bobo$12bo!
EDIT: I meant that an eater 3 can reinforce a snake.
Another catalyst that does the same thing:

Code: Select all

x = 16, y = 12, rule = B3/S23
b2o7b2o$bobo6bobo$3bo8bo$ob2o8bob2o$2o8b3o2bo$9bo3b2o$9b4o$12bo$9b2obo
bo$10bo2b2o$8bobo$8b2o!
The hook on the top is the "snake" part and the bottom is the "eater 3" part.
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mniemiec
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Re: Thread For Your Useless Discoveries

Post by mniemiec » June 13th, 2021, 2:08 am

MathAndCode wrote:
June 12th, 2021, 7:17 pm
Why do LWSSes tend to form just as or right after the c/2 forward movement mechanism forms instead of from c/2 forward movement mechanisms that have been going for a while?
Probably because there are many more mechanisms that spontaneously edge-shoot a LWSS (or MWSS or HWSS) out of random junk than there are that mutate an existing unstable c/2 mechanism (e.g. B heptomino) to cleanly convert the front end into an LWSS/MWSS/HWSS. Such converters must necessarily approach from the side or rear, and have to fight the c/2 wind; approaching from the front would impact the c/2 head, making it moot (and equivalent to other random junk). On the other hand, the pieces that form the initial random junk can approach from all sides.

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ihatecorderships
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Re: Thread For Your Useless Discoveries

Post by ihatecorderships » June 14th, 2021, 12:17 pm

This soup contains TWO temporary XWSSes, an LWSS at around gen 194, and a MWSS at around gen 1475, and both in the same area at the bottom.

Code: Select all

x = 301, y = 321, rule = B3/S23
4bobob3o4bo4b2o3bo2bo2b4obobob3o4b2o4b3o2b2obo9bo2b6obo5bo2b2ob3obo2bo
bobobo4bob2o6b3o2b2obob3ob4o2b2ob2o10bobobo3b5o3bo8b4o4b7o3bob2o2bobob
2o3b2ob2ob2o3bob3obo5b4obobo5bobob2o4b2o2bo5b3obob3o2bob2o3b3obo2bob2o
$3bobo3bo2bo2b2o3bo3b2o2bobo2bo3b2ob2obobo5bo4b2o2b4ob2ob3o3b4o2b2o2bo
3b2o2b2o9bo2bo3bo4b3o2bo3b4o4b2o4bo6b3o3bo2b2o2bo7b6obo5b3o4b2o2bo3b2o
bobo2bobo2bobo6bob2o5bobo5bo2b3ob2o6bo5b4o3bo2b3obo8b2ob4obob2o3b2obo
3b2o$5bo2bo3b2o6bobo2b2o3bob3o3bo3b3o4b3obo2bo2bo4bobo5b6obob2obob2o2b
obo9b2o5bob2o7b4obobo4b2obobobo2bo5b3obo5b2obob2o3bobo11b2o3bo2b2o3bob
2o3b2o3bobobo7b6o2bo2b2obo2bobobo2bo2b2o2b3o3bo4bob2ob2o2b3o7bo6b3ob2o
bo2bo$6bobobo5bo2bo6b2obo3bobo2b4o3b5o4bo3b3obo10b3o5bo4b2o2bo2bobo9bo
5b2o2bobo3b2o4bobo2b2ob2obobo2b2o2b4o6b6o2b3obobo2bo3bo2b2o5b3obo5bobo
4bo2bo4bobo2bobo4b2o5bob2o8bobo6bo5bo4bo2bo3b3obob2o2bo2bo6bo4b3o$2o5b
o3bo4b4obobo3b4obo4b3obo4b4ob2o4bo2b3o3b2obobo8b2o2bob2o2b2obo2bo4bo5b
2o6bo3b2ob3o5b2o4b2o2b5ob2o2bo3bob5o2bo2bob2o5bo2b2o2bo2bo3bo7b3o5b2o
6bo2bo3bob2obo7bo4bob2ob2o10bob3o2bo4b2ob2obo4b2o4bo2bo2b3o3bo$4bo3b2o
3bo2bo9bo2bob2o3bo2bobob2ob2o3bobo3bobobo7bob2o3bo2bobobob2o2b2o4bob3o
b2o4bo2bo6bo5b2obo3b2o2b2o2b3o2b2o3bob3obo2bo2bob3obobobob2ob2o8bo3b2o
bo3b3obo4bob2ob2o4b2o3b3ob3o5bo3b3o2bobo3b2o4b2obobo2b3obobobobo4b2o3b
o3bobobo2b5o2bo$2bo2b2obo3b2o3bob2ob2ob5o2bo8b2obob4obo7bobo2b2o2b3o2b
2ob6obo2bob4o2b2o3bobobo3bob2o3bo4bobob3obo4b2o3bo5bobo3b2o2bobo2bo2bo
8b2o2b2ob2obo2b2o4bo2b2ob2o8b2o2bobobo10bo2bo2b4o3bo4bo4bo4b2o3b2o6b3o
6bob2o2bo2bo3b2o3bob2o2b3o$bo4b2o2b2ob5o5bob3obo4bobob2obo2b2obo2b2o2b
2obo2bob2o3bo7bobob5obobo4b2obob2obo2bo2bob3o6b2o2b2obobo5bobobo4bobo
2bob2obobobo6bo2b3o5bo2bob3o2bo2bo2b3ob2o4bo4bo6b7o2bob5ob2o7bo3b3o4b
2o4bobobo2bo2bo2bo3bo2b2obo2bo6bo2b2o3b2o3bo$o2bob2o5b2o3b2obo5bobo2b
2o2b3o7b2o4b2ob3o7b3obo5bo3bob3ob2obo4b2obo5bo3b2o2bo4b2o3b3o5b3ob2obo
b2o2bo2bo3bo3bobo4b2ob2ob3o10bob2o4b2ob2o3bo3bo5b2o4bobobob6obobo2b4ob
obo2bobo2b2o3bo2bo4bobo3bo4bo3b3o2bo2bob3o10b2ob3o$3o3bo8bobo2bob3o2bo
bo6b2ob3o2bobo2bobo5b2ob2o5bob2obo2b3o3bo2b3o5bobo8bo2b2obo4bo3b2ob3o
2bo3bobo4bobo3bobob3o2bo2b3o3bo4b2o2b3obo7bobobo2b2ob4obo2bo3b2o2bo2bo
bob2obobobo3b2o2bo5bo2b3o8b3o2b2o3bo6b3o3bobobob3o3b2ob3o3bo4bo$5bobo
3bobobobo6bo3bobo2bo2bo3bobobo3b2ob4o2bob2o3bo3bo2bo2b2obobob2obobo2bo
2b2obob2ob3o2b2obob3o8bo4b4obo2b2o2bob2o2bo2bo3b3o2bo2bo4bo2b3o5bo2b2o
2b2o3bo4bobobob3ob6o3bob3o2b2o3bo5bo2b2obo5b2o4b3o2bo6bo2b3o2bo5b2o3bo
bo4bo2b2o2bo2b2o2bo$2o3b3o5bo3b4obobo7bo3b7obo6b2obo2bo4b3ob2o2bo2bobo
bob2o3bobobobo4b4ob2o2bo2bob3o3b2o6bo7bo2b2o5b2obob2o5bobo4bo2bo2bo4bo
bo4bobob2obo5bob3o3bob2obo2b3o2bo9b3obo4bob3o2bob2ob2o3b2ob2o3b2o2bo4b
ob2obo3bo3b3obobobobo3bob6o$4b3o2b2obo2b2o2b3o2bo5b2o2bobo4b2o5b2ob3o
9bo3bo5bo3b4obob3obobo2b2o3bobo2b3o2b4o2bob2o12b3obobob3ob2o4b5o9b2o3b
o3bobo3b2ob4obo3b4ob2obob2o7bobo5b3obo2bobo2bobo3bobo3bobo3b2o3bobo3bo
bo4b2ob2ob3ob2o3bo2b2o3bo2bo3bo2b2o$b3o3bob2obob3o4bo3b2ob2o2b2o10bob
2o2b3o11b2o2bo3b2o2bo3bobo3b2o2bobobo2bo3bo3b3o2bo5bobo3b2o5bobobob3o
5bo5bo2b3o5bob2o4b2o3bo12bo2bo8b2obo2b2obo2bo2bobo2bo2bob2o3bob3o10b2o
6bob2o2bobobobo2bob2obo2bo4bo2bo3b3o2bob2o4bo$2o5b3o2bo5b2o3bobo3bo2bo
bo2bo3bobobo8bob3ob3o5b3obobo2b2obob2ob9o2bo3bo4b2o2bo5b2o3b2o5bobobo
2b3o2b2o2bo2bo2bobo3bobobobob3obo3b2o3bo5bob5o3bo3bo2b2obo7bob3o7bobo
7bo2bo2b2o3bo2bo3bo4b2ob2o5b2o2b2ob2o3bobobo3bobobobo4bo$bobob2o2bo4bo
b4o3bo3b2ob5o3b2o2b3o3b4o3b6o3bo6bo2b3o2b2o5bo2bo3bo5b3ob4o2bob2o3bo2b
o5bo3bobobobo5bob2ob2o3bobob2ob3obob3o2b5ob2o2b2obo2bobob2o3b3o3bo2bo
2bobo3bo3bo5bo10bo4bo6bo2bobo6bob2obob2o2bo5bobo5b2o11b2o$ob2o4bobo3bo
3bo2bob2o3bobo5bo3bo2b2o4b3obo2b2obobobo4bobob3o7bob2ob3o4bo2b2o5bo5bo
5b2o7bobo5b5obo2b2o2b4o4b4ob3o4bob5o2bobob7obo3b2ob2obo4bo4b3o2b2o2bo
2bob4obo8b2o2b3o2bobobob3o2b3obobo5bo8bob2o10b2obo3bo$3o2bo7b2o2b2o4bo
4b5obo3b3obo4b3obo3bob2o2b2o4bo12bo4bobo2b2obo4bo3bo2bo2b2o3b2o3b2o3bo
3bo2b2o2bo2b3o2b2o2bob2o2b2o2bobob2ob3o2b2o2b2obo5b3ob5obo2bo2b3obo4bo
b2o2bob4o3b2obo3bo2bo3b7obo2b2obo2bo3bobo2bo3b5o5bo4b2o3b4obob4o2bo$b
4o4b2o3bo3b2ob2o2bo3bobo4b2o3bo2b2o9b3obob3o2bo17bob3o2b2o2bo2bo5bobob
3o5b2o2bo3bo3b4ob2o4b3obo8bob2o3bobo3bo3b3o2bo2b2obobob2o4bob2obo5b2o
2bobo2bo3bo9b2o11bob3obobo5bo2bob2ob2obo2b4o4b2o2bobo5b2obob4ob2o$7b3o
b3ob2o3bobo6b2o10b2o2bo2bo3b2ob2o2bobobobo10b3ob2o3bob4o2bobobobo4b2ob
2obo2b2obo3b2o2bo9bobo8bobo5b3o2b3o7bobo4bob4o2b3o2b5obo4b2o6b4ob2o2b
4obob2o5b3ob3obo2b3o3bo2b2o5bobo3b2ob2o2bo2b2obob3ob2o2b4o5b3o$b3o5bo
8bobo3bob2o3bo2bobo3b4o7b4o4b2o3bo2bobo5bo2b2o2bo6bo2bo3bo7b3o3b6o2bo
5b2o3bo2bo2b2obo2bo3bo2b3ob5o3bo3bo2bo3bo5b2obobobo4bob3o2bo2b4obobobo
bo2bo2bob6obob2obob2o3bo3b2o3bo3bob4o2bo2bo4bo2bob2o7b3o2bo7bobo3bo$bo
b2o4bobob2o2b2obo5b2o2bobo3b2obo4bo2b3ob2obo2bo2b2ob4obo2bobo8bob2ob2o
b3obobo2bob3obo2bob3o2bo3bobobobo4b3obobo5bobobo7b2o2bo3bo4bo3b2o5b3o
2bobo5bobo6bo3b2o5b2o4bobo5b6o2b2o8bo2bo12b3o2b4o5b2o4bo3b2obo2bo4b2o
2bobo$4b3o2b3o3b2o2bo2b2o3bo2bo3b2o5b2obob2obo2bobob2obo5bo2bo2b2obo2b
ob3obobo2bobo5bo5bo3bobo11bob5ob2o6bo7bo4b5o4bo2b2obob2ob3o3bo2bo2bob
2o7bo4b2o2b3ob2o5b2o6bo2b2o4b4o11b2o3bo5bo2bobobob2obo13b2o5b5obo4b2o$
4bo2b3o4b3o2bobo5b2o3bobo4b2o2b2ob2ob2obobo4b2o4bob2o10b2obob2o2b3o5bo
2bobo3b2o5bobob3obo2b5obo2bo4bo7b2obob5obobo8bo2bobo2b2o2b2o5bo4b2obob
o6bo3b2o3bo6bo5bobobo4b3o2b2ob2obobob4obobo2bo2bo2bobo3b2obo4bob4o2bo
2b4o2bobo$ob2o2b2o2b2o2b2o7bobo3b3obo2b2o2bo4bob2o5b2o3b2obo2bo2bo4bo
3bo4bo2bo2bo2bo2bo2bo5b4obo2b3o2b2obo6bobo2b3ob5o4b2o4bo3b2o4bob4obo2b
obobo3bo2bo4bo5bo2b4o3bob4o5b3o2bo4bobob4o2b3obo4bobo2bob2obobo4b2o2b
4o3bobo4b2o3b2obobo2b2o2b2ob2obo$2obobo5bo7bo3b2ob2o3bobo2b2obobo3bo4b
3o3bobo2bob2obo3bo5bobob2o5bobobo2bobob3o2bob2o4bo4bo2b3obob2obo2b2obo
bo3bo3bo4bobo7bo2bo2b3o8b4o2bob2o4bo4b4obo5bobo2bo3bo2b2o2b2o8b2o3b4o
7b7o6bobo2bo3b3o3b3ob3o3b3o3bo2bo3bo$o2bo3bobo2bobo3b2o3b2o7bo3bob3o2b
obo4b2obobo2b2ob4obo2bob2obob3obo2bo2bobobo3b2o2b3o5b4ob2o5b3obo5b6ob
2o2bo5b2obobo5b2o4bo4bobo2bobo4bobob2obo3b2obo2b3ob4ob2o2bobo2bob2obob
o8b2o3b2o2bo3b2obo6b2o2b2obobo3bo4bob4ob3o5bobob2o8bo$o5bo4bo3b2o5b3o
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o2bo4bo2b3o2bo4bob2obo2bo2b2obob2o4bo2b2o4bo2bo4b2o4b3o2bobobob2o3bob
2o2b5obo2b3o5bo2bobobob2o6bo5b2obob4o4b2o4b2o3bo9bobo3bobobo2bo5bo3b3o
3b2o5bo4b3o2b3o2bo4bo7b2o4b2obobob2obo12bo2bobobobob2o2b2o5b2o2bo6bo$b
3obo3b2o3bob3obo3b5obo2b3ob2ob2ob3o9bo2b2o3b2obobo3bo3bo4bo2bo3bo3bo8b
o3bobo2bobob2o2bo2bob3o5bobo3bo4bo2b3o3b4o8b2o2bobobob3obo2bob3ob3o3bo
b2o3bobob3o2bo3bo4bo2b3o6bo3bo2bo4bo2bo9bobobo3b2o4bo2bo7bo2b2obo2b2o
2bobobobobo$2bo3bo6bob3obo2bobo3b3obobob2obob2o2bob3o3bo5b2o6b4o4bobo
4b3o3b2ob3o2b2o3b3o2bo5bo5bobo4b3o2bobo5bo2bo2bob2obob3o4b2o4b6ob2o6bo
2bo6bobo7b2obobobo3b2o3b3obo7bo8b2obo3bo4b3ob3obob3o8bo2b2o5bob2obob2o
2bo2b2o2bo2bo$b2obo3bo4b5o4b2obob5o4bo2bo2bo4b2ob2o4bobobo6bobo4bo3b2o
bob2o2b2o7b3obo2b3obobo4bo3b3o3bo2b3o4bo2b2ob3o4bo9bo6bo3bo3b2o2b3o6b
2ob2o3bo2b2o2bob2o2bo6bo2bob3ob3ob6o4b2o2bo10bo5b3ob2obo2bobo3bo3b3ob
2obo2b3obobo4b2o$b2o2bo3bo2b2ob2ob2ob4obo4b4obobo2b2o6bob2ob2obobo2b2o
2b3o5bo5bobo2bo2b2obo7bo3b2o4bobo3b2obo2bo5bo6b2o6bobo4bob2obo3bo2b2o
2b3obo2b4ob15ob3ob4ob2o2b2ob2o2b2o7bob2o3bo2bo2b3o3bo3b3obo3b2o2bo5bob
ob2ob3o3bobob2o5bobobobobo$2bo3b2obo2b4o4bo2bo2bob8ob2ob2o5b2obobo2bo
5bob2ob2obobobob3o3bo2bo10b3o4b4o2b2o2bo3bob2o6bo9bo4bo2bo3b5o5bo3b5o
2bo3b3obo2bob4obobo4bo3bob2o2b2o2b3o3b4obobo3b2o6bobobo3bob3o4b2o3bo4b
o2bo2bo9bob5o5bob4obo4bo$o2b2obobobob2obo2bob2o2bo3b2o3b3o4b2ob3o3b3ob
4o3b3o2bob2o3bo3b3o8bo2bob4obobo3b2ob2obob2o2bo4b2o4bob2o3bo2bob2o3b2o
6bo3b2o2b2o2b2o2bo6b3o3bobo4bobob2ob3o2bo2bobo2b2o3bob3obo3b5o2b2ob2o
2bo3bo3bo3bo6b2o2b3o4b2o3bob2ob2o2bo3b2obobobob5o$o2bobo3b2o4bobo3bo4b
2obo3bo2bobobo3bob2o4bobo6bo3bobo2b3o2bo5b2obobobob3o3bob4o3bobob2o3b
3obob2o2b2o2bobo2bo4b2o2bo2bo3b2ob2o4b2obo4b3o8bo2bob4obobobo3bobo3b4o
4b2obo2bobo3bo2bobobo2bo5bo5bo2bo7bob2ob4ob2o2bob6o6bo5bob3o4bo2bo$2bo
bo2b2o2bobo5b2o4bob4obobobo3bo2b2obobo5b2o3bob2ob3o3b4ob2o11b5o6bobo4b
2ob2o4bo2bo10bo2b2o2b2o2bo3b2o4b2ob2o4bobobo4b2obo8b2o2b7o3bo3bo2bob2o
bobo3b2o2b2obobo2bob2o2b2o2bo5bo2b2o5bo5bo7b5o2bo3bo5bo4bo4b5o2bo$5b2o
bob2obo5b2o3bob2obobo6bobo2bobo3bobo4bo2bo2b3o4bo9b3o2bo3bo3bobo2b3ob
5o4bobob8o3bo2b2o3b4o3b6o7b2obo2bobo4b2o2bobo2bo2bo5bo5b2obob3obo2b7o
3bob3obobobo4bob2obob3o3b3o2bo3b2obo3bobo2bobobob3ob2o3bo2bo6bo4b2obob
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ob2obo3bobob3obo4bob2o2bo2bo2bo2b2o2bo2b2o2b2o2bo2bobob2o4bobo4b2o2bob
o2bob2obo2bo5b2o3b3obo2b2o2b4o4bo3bob2o2b3o5bo2bo2bob3ob3ob2o2b2o6b3o
4b2o3bob2obo3bobobo2b5o5bobo4bo2bobo$obob2ob2obo3bob6obobo3b8ob2o3b3ob
o2bo2bob2o2bo4b5o2bo9bo2bobobo3bo4b2obo4b2o4bo5b3o3b2o6bobo2bo4bo2bo3b
4o2b2o10b3o8b3obo2bo5b6ob2o2b3obobob2o11bo7b2o2bo7b2obobo3bo4bo4bob4o
3bo2bo3b2o3b2o2bo3bobob2obo2bo$2bo3b3o3bo2bo3bo2b2o2bo10bo5b2o3bob3o3b
ob2obobo3b2o2bo2bo9bobo3bob2o6b2ob2o2bo4bo4bo2bo2b2o9bo2bo4bobobo2b4ob
3o5bobobo2bobobo2bobo3b2o6bo2b5obo7bo9b2ob2obo3b2o3bo2b2o4b5o3bobo4b2o
bobo3b3o5b2o4bobo4bob3o2bo2b2o$2bobob2o2b7o2b2obo6bo2bob2o4b2ob2ob2o6b
2o6b3obo3bobo12b2o2b2o2b2ob6obo4bobo8bobo2b5o4bobob4ob2obob4obob2o3bo
3b4o5b2obob3o3bo2b2obob4ob3o2bob3o3b5o3bo4b2obo3bo2bobo2bo2bo6bob2o2bo
2bob2o4bob4obo3bo4b3obo2bo2b2obo3b2obo$2b3o3bo2b2ob3ob2o2b3o2bo3bo3b3o
bob2obo3bo4bob5o4bo3bo2b2obobob4o2b2obo3bo4b3o5b4ob2o2b2obo4b3o2bo2bo
6bobo2b2o2b2obo2b2o3b2o4bobo6bob2o2bo2b4obob5o3b2o4bo4b2o2b8obobo2bo3b
o3b2obo2bo2b2o4bo2bobo6bobobobo5b2o2bo2bob2ob2o2bo2bobo3b3o$bo2b2o3b3o
bob2o2bobob4ob2ob2o2bob2obo2bo4b3o6bobo4bo6bobo3bo2b3o2b2o3b2o2bo3bob
2obo4b2obobob2o3b3o2b2o2bo5bo12b3o2bo2bo2b2obobob2o5bo7bob2o8bobo4b3o
5b3o4bob2o2b2obo3b4o7b3o2bo2bob3ob2o4b2ob2obo3b2obo2b3obo2b2o2bo3b2ob
2ob3obo$2bo2bobo2bo3bob2o6bob2obo5bo6bo3b3o2bo7bob2ob3obo3bo3bob2o2b2o
2b2o3bo4bo3bo2bo2bobob3ob3o2bobo5bob2obobo3bo3b4o2bo2bob2o2bobo2bo2bo
2bob2o2bob3o5b3o3bob3o5b2o2b3o5b2o5b4obo6bo2bobo2bo2bo7b3o5bo4b4o3b2o
7bobob3ob2ob2o2b3ob3o$o3bobo4b2o2bobob3o2b2ob2o4bob2o3b5o5bo2b3o3bo2bo
5b2ob2o7b2o2bo3b2o5b3ob2o2bo3b3o2b2o2bob2o2bo2b3o2bo2bobo2bo3b2o2b4o2b
ob2obobo4bob4o3bo6b2obob2o3bob4ob3o6bob2ob3o4b2o4b2o2b3o2bobo3b2ob2o3b
obobobo8bo5bo3b3ob5o3bob3o2bo2bo2bo2bo$2b4o6bo2b3ob2o2bo5bob2ob5o2bobo
2bo2b2o3bob4obobo4bo2b2o2b2o2b2o4bob2o2bo3b2o3bo2b4ob2obobo2bo2bo12bo
4bob3o5bo3bo2bo4b2o4bo2b4obo4bob2o2b2o5b2o2b2o2b2o3bo5b4obo3bobo13bo6b
obob2o3bo4b2o3bo3bob2o3bo6b2o2bo4b2obo$2o4bo2bobo2bo4bob4ob2obobobo3bo
b3o2bo2bo4b2o4b2o7b2o3b2o3b2o4bo5bo5b3o3bo2bo4b3o3bob2o6bo11bobobo7bo
2bo3b3o2bob2o3bo2b2o2b2o2b6obo2bob2ob2o3bo4bo6b3obo2b3ob2obobo2bob2o4b
3o5bobo2bo2b2o3bob3obobo2bobob4ob3obo5bob3o2bo$2o3b3o4b3obo8b2o5bobob
2o4b2obo2bob8ob3obo5bobo2bo5bo6bobo2bo3b2o2b3ob2obo3b3obob3o2b4o4bo4bo
2b2o4bo2bo3bob2ob2o4bo4b2o8bo4bobobo3b2o2bobo2bo2bo7b3o7bob4o2bo3b2o5b
o2bo5bob4o2bobo4bob2obo2b2o4bo2bob5o7bo$2o2b6ob2ob2ob3ob2ob2o2bo4bo3bo
bobo3b2o2b2obo3bobo9b2o5b2o6bo2b8o6bo5bo2bo2bo2b2ob5o2b2ob2o2bobo2bob
3o6bo2b3obob2obo2b3o3bobo9b2obo2bo3bob2obo8b2obobo4bo3bob3o3bo4bo2bo3b
4o6bo4b3o2bo2bo2b3ob2o2b3ob2o4bo3bobo3b2o4bo$bo6bo14bobob2o2bo4bo2bo2b
obobo2b2ob5o3b4obo2b2o2bo3bo2b3obo2bo6b2o2bobo2bo2bo2b4o2b2obob3obob3o
bob2obo4bo3b2o3bo2b5o3bobo3bo2bo2b3o3bob2o2bobobo4b2o2b2o10bo5bob5o2b
2o3b2obo3b3ob8o2bo5b2o3bo6bobo4b2obo2b2o4bo4bo4b2o2bo$3bo3bobobo3bo2bo
2b2o2b2o3bob2o2b2o3b3o2bobob2ob4obobobo4b2o7b3obo6b2obo9b2o5b2obo8bo2b
obo2bobob3obo8b2o3bobo3bobobob3o4b2o5b2obobo2bob2o3bo4b4o2bob2o4bo3b3o
2b2o2bo3b4obo2bo2b2o4b3ob2o2bob2o4bo2bo2bo4b2obo2bo3bobo3b5o7b3o$2bob
2o4b2obob2obob3o2bo3b2ob2ob2ob2obobob3obobo4b5o11bobo2bo3b2o2b2o3bo5b
2o2bobob3o2b2ob2o3b2obo2bo5bobobob2o3bo2b2ob2obo6bo4bob2ob2o5bo3bob2ob
2o2b2o4b2ob2o4bo3bo2b2o2b3o10bobo4b2o5bob2o2bo5bo5bo2b4o7bo4b2ob2o5bo
2b2obobo3bobo$7b5o2bo5b3obobob2o3b2o3b2ob2o2bobob2o2bo2b2obo3bo2b3o2bo
3bobob2obobo5b2ob2o2bo2bo2bob3o4bo2bo6bobo2bob3ob3obobo5bo2bo4b3o2b2o
5bob2obobo3bob2o4b2o3bo6bo3b2o4bobob2o2bo3bo2bo3b3o2b2o4bo3bo2bo4bobo
2bob2o4bobo4b2ob2o3b3o2b2o3bo4b4o$o5b2o2b3o2bo3b2o2bo10b2ob2obobobo3bo
b2ob4o2bo7bo2b2o5bo2bo2b2obobobo5bob5o3b4o3b3o2b2o4bo2bo3bo7b2o5b3obo
2b2o10b2o5b2o2bobo2bobo3b4o6bo3bo3bo7bob3o2bo3bo4bo8bob3o2bobo5bo4bo4b
2obo2b3obob3o4bo2b2o3bobo2bo$b4o3bo4bo3b2obo6bo2b2o2bo2bo2bo2b2o3bob2o
bob3o4b2o2b3o2bob2o2bobob4o2b2o5bo2bo3b2o2bo3b3obo2bob2o4bob2o2bo2bo3b
o4bobo2b2o2b2o2b5ob3obo2b3o2bo2b4obo2b2o3b2o2b2ob2obo3bo2bob2o2bo5bo4b
ob5o7bo5b2obobob3ob3o3bo2b3obo2b3o3bob3o2b2o2b2o7bobobo$6bobo2bo4b2o2b
ob2o2b3o5bo5bo4bo2bo4b5o4b2o2bob2o3bo2b2obob2o2bo4bob2o7bob2ob3obo2bo
4b3obo5bo3b2o3b5obobobob2o3b2o3bo2bo4bo3b2o2b2ob2o3bo7b3o3bob2obobo6bo
bo2bo2bo3b2ob3o3bo2b2o4bo6bo2bo2bo9b3o2b2o5bo2bo2bo3b4obo4bob3o$4bob4o
3b2ob2o3bo3b2obob3o3b2obobo2bo7b5obo2bo2bobo2bo4b3o4b3obo2b2o2bo4b2ob
3ob3o2bo2bo4bobo2b5obo6bob2obobo3b2o4bo2b2o2bo4bobobo2b9o3bobo2b2o4b2o
9bo2bob2obo4bobo5b4ob2o3b3ob3o2bob2o2bobo3b2o4bo3bo2b2o2bo2bobo2bo3bo
2bob2o2b2ob2o$bo2bo6b2obo2bo3bo3b2ob3o3bo5b5o2b4o3bo3bo3b2o3b2o2bo2bo
8bob2obob3ob2o2b4obobo4bo7b2obo2bob2o4bobo3b6ob3o3b2o2b4o4bo5bo2bobob
3o3bob4obo2bob2o2bobo3bo3bo3b2o6b2o7b3o2b2o2bo2b2o3bobo6bob3o5bobo2bo
2bo10b2o2b2o2bo$o3bobo2bob3o2bo2bo2bobo3b3o10bobobob2obo2bobo4bo4b2o3b
obob2o3bo3bo5bob2o4bo3bobob4obo3b2o4bo6bo4b2obo3bo6b3ob2o4bo2b2ob3o2bo
2bo4bo4b3o6b2o3bo3bob4o3b3ob3obobobob7ob2o4bobob2o4b2o4b2o2bobo2bo2b2o
2bo3b3o3bobob2obob3obo2b2o2b2o$b3ob4o3bo2b3o3b2o2b2o2b4ob3o2b2o6bo9b3o
b2obo2bo2b3o7bo2b4o2b2o3bobo5b3o3b2obo4bo2b2o4b4o5b2o2bo3bobobo2bo2bo
11bo2b2o2b2obobobob2o3bo2bob2obob3obo6bobo5bo2b3o6b2o9bo2b2obobo2bo2bo
2b2ob2o3b2obob5o6b2obo9b2o2bob4o$bo5bob2o2bo3b6obo4bo2bo4bobobob2o2b2o
5b2o2b2o2b2o3bob2o3bob2o6b3o3bo5bo7bob2o3bobo5b2o2bo2b2o2bo2bo2b2o5bo
4bobo2b2o2bo3bob2obob2o7bobobobo4bo6b2o5bo6bo4bo7bo3bobobobob4ob2obo2b
ob2o2b2o2bobobo4bobo3b2o4b2o2b2o3bo5bo3b2o2b2o$b2o3b2o2bo2bo2bobo4bo2b
3o2b5obo3b2o8b2ob3o4b2o2b2o2bo4bob3o4b2o2bobobobo3bo2bob2o2b5o8b4obo7b
2obo3b2o2b3o4bo2b3o4b2ob2o4b2obob2o2bobobob2o11bo2b2ob4obobo2b2ob2obo
5b3o6bo3b2obobo3bo2b2o2b3o6bo5bobob2o4bo7b3obo3b3obo$2ob5o3b8obob3o2b
2o5bobo2bo3b4o2b2obo5bob4obobob2obobo4b4ob2o2bob3o3b2o4bobobo3bo6b2o4b
2o2bobo2bo2b4o4b2obo3bobob2o3bob3o4bo6bobo2b6obob2o3b3obo5b2o3bob2obo
2bo2bob2o3b5obobo5b3o2b5o3bobobobo2b4ob3ob2o2bo5bo2b2o4bo2bobo2bo$2b2o
bo2b2o3bo3bo3bo2bobob4obo3b3ob3ob3o3bobob4o3b2o3bob3o2bob3obo4bobobo3b
ob5o7bo5b2obob5o2b2ob3o3bo4bo3bobo2bo2b2o4bo2b2o2bo3b2obo2bobobo2bo2bo
8b2o2bo3b2o3bob2o2b2obo4bobo2b2o2bo2b3o3b3o2bo6bo3bo3bo3bo2bo2b2o10b2o
4bobo3bo3b4o$2obob2o3b5o5b2o2bo6bo3bo3bob3o2b2o3b3obo3bo4bo6b2o4bo2b2o
3bobo4b2o6bobobo5b3o4bo3bob5obo2bob3obo3b2ob2ob2o3bo3bo2bobo3b2o6b3o2b
o3bobob2o4bobobobo8bo2b4o3bo2bobobobo2bobob2ob2ob2o4bo3b2o2bobobo6b2o
2bo4b5o2bo2bo6bob3o3b2o$4o2bo3bo2bo2bo4b5o3b2o7bob5o5bobo3bobo5bo2bob
3obob3ob3o3b4o4bo5b2o4bo9bo4bobo2b2o2b2o3bobo4bo6bob2o3b3obobob2obo3bo
3bobo3bob4obo4bob2o4bo3bo3b2o3bo4b2obob2o2b2obo4b2ob4obo3bob3ob3obobob
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4bo6b3o4b2o4bo2bo5bo2bo5b2o2b3ob4o4bobob2obo2b2o3b2o2b4o4b7o2bob3o2bob
3o5bobo2b2o3b2o5bo2b4obo3b2o6b3o2bo2b5obo2b3o7b2ob5o3bo2b2ob6obobobobo
5bo5bo2bobo2b2o2bobob3obo6bo$o5b2o7bo2bobo2bo2bo2b3o2bobo2b2o7bo9bob2o
2b2o2b3o4bo2bo2bob2o7b7o3bo2bo8b3o5b2ob3obob2obo4bo5bo2bobo5b2o4bo2bob
o2b3obob3o2bo4bobob2o2bobob3o3bo4b2o6bo2bob2obo3b2o9bobo4bobo4bobo3bob
3o3b2obo5bob2o7bobo7b2o$6b2o3bo3b2obob3o3bo4bobo5b4o4bo5bo3b3o4bobo3b
2o2b3obobo2bobobob2o6bob2o6b3ob2o2bobob4o4bobo3bo6bo2bo3b2o2b2o2bo4b2o
2b3o2b3o2bob2o2bob2o5b2obobo3b2o2b5obob2ob2ob2o6b3o2b3o2b5o3b2o2b2o2bo
bobobob4o2b3ob4obo3b3ob2obo9b3ob2o$bo12bobo3bob2o2b2o5bobob4o3bo5bobob
3o2bo3b4obobo3bo3b2obob2obob2o2bo2b4ob2o3bo5bo3bobo5bo2bo4b3o2bob4o2b
3ob2o2bob3o2bo2bobo4bo3b2o5b2ob2obo3b3o3bobobo4bob3o2bobob2obo5bo5bo3b
o2b2o2bob3ob2o2bo3b3o3bob4o2bob5o2bo2b3o5bo2bo2bo3bo$3obo4bo2bob2o7bob
o6b3obo17b2obo2b2obob2o5bobo3b2o2b3obo3bob3o6b4ob4o2b6o4b3obo5bo2bobob
o6b2o4b2obo4b3ob2ob2o3bob2obo4bo6bo3b2o2bobo2bo2bo2bob2obob2o2bo2b2ob
4ob3o4bo2bobob2o4b2obo2bo2b2o4bobobo3bo3b5o2bobo2bo9b2o$2bo2b2o3bo2bo
4bobo2b2ob3obo2b2o11bob3obobo4bo4bo3b2obob2o5b4obo3b4obobo3bobo2bo4bo
4bobobo5bo4bobob3o2bo3bo2b3o3bo5b2o2bo3bo3b4o4bob2o4bob3o3b3o10bo4bobo
3b2o2b2o5b2o3bobobo2bo7b2o8b2o2b4o2bo5b6o5b2o2b2ob3obo2bo$4bob8o3b3o3b
o2b3obo3b3ob2o3b6ob2o2bo3bo2bo2bobob5o6b3ob4o2b5o3bo4bo2bob3o6bobo3b4o
4bo4bo2bobo2b2o5bo2b2obo2bo15bo3bobo2bo4b2o2bo7bo3b3o2bo3bobo4bob2o5bo
2b3obob2obo2bobo4b2o4b2ob2ob2o2b4obobo2bo5bo4b3ob2o$5bo6bob3o2bobobo3b
obobo3bo5b3o2bo2b3obo2bo4bo5b3o4b2o3bo7bo3bo3bo2bo6b3ob2obob2ob2o3b3o
2b6o2b2obobob2obob4o2b2o8b4o3b2o3bo2bo3bob2ob2o3b3o3bob2o3bo2bo4b2o3b
3o6bob2o3bobobob2obo3bo5bo2bo2b2ob2obo4bob2o2b3o3bo3b3o3bo5b2o$3bobob
4o2b3o3b3ob2o2b3o2bobo2bo7b3obobobob2obo2bo2bobo3bo2bobo6bo4bo2bobobo
2bo3b4o5b2o4bobo2bo2bob3o8bob6o2b4obo5b2o3bobo3b3ob3obo2b4ob2o4bo2bo2b
o2bo9b2o2b3o2b3obob2obo6bob4obobo3b2obo2b2o2b2ob2o2bo2bo2b8obo4b3obo2b
2o2b4o$b3o3bo3b2o7bo2bobo4bob2o3bob4obobo4bobo5bo6b3o2bo2b2obob2obo6bo
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4b3o2bo6b2obo$3obobo2b4obo2b2o4b4o5bo3bo2bo2bob2o2bo5b2o4bo2b2obobo2bo
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6b2ob2ob3o2bobo3bobo3bobobo2b2o3bo3bo5bo4bo2bobobo8b2o3bo9b2ob4obob4ob
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4bo4bo3b2ob4o5bo2bo6b4obo7b2o5b3o6bob3o2b5ob2o3bo$o7b2ob2ob2ob2ob3o2bo
b5obob2obo2bob3o2bo3bo3b4ob2o3bo6bo3b3o2bo3bo6b2ob2o2b2o5bo2bo3bo4bo2b
2o3bobo4b2o2bob2ob2o2bo2b2o3bobo7b2o3bo7bobobo2bo3bob3o2bobo5bo5b5obo
4bob2o2bo3bobo10bo6b2obo2bo3b2obo4bobobobo3bo2b3obo2bob2o6b2o$2bo3bo2b
2o5bo7b2obo3b2o2b3obo6b2o4b2ob2o7b2o3bo5bo4bo2b3obo3b2obob2obo4b2o4bo
3bob3ob2o2bo2bo3bo2bob2o2bo2bo2bo5bobo4b3o5bobo3bo5bo5bo6bob2obo5b3o3b
2o4b2o2bo2b2ob2o2b2o5b2obo2bo11b2ob2o10bob2o4bo2bo2bobo2bo3bo5bobo$3bo
b3obo2bo3bob3o2b5o2bo4bo2bobo2bobo5b2o2b2o2bob2o4bobo5bobob2o2b2ob3o5b
o2b2o2bo3bo4b2o3b2ob2o2bo6bobobob2o5bobo2bo3bo2b2obo3b3o2bobo2bo6b2o3b
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2b2o2bo2bo2bo4bobo3bo$obobob4obo5bo4bo7bo5bobob2o2b2o3b2obo4bo2b2obo3b
o4bobo5bo3b3o2bo3bo2b2o2bo4b2o2b2o2bo3b3o3bob2ob2obo3b3obo5bobobobo6b
2obob2ob4o6b2o2bobo5b2ob4obo2bobo6bo3bo8b4ob3obo2bob3o2bo8bo2b2o2b2o4b
2o3bo5bo3b2ob3ob2ob2o4bob4obo$2b2obo6b2o2b3o2b2o3bob2obob2obo2bo2b3obo
bo4bo2b2o2b3o7bo3b6obo3b3o2bo4b2ob2o2b2o5b2obo2b2o3bobobobob2obo2bo2bo
3b3o3bo2bob2o2bo3bobo7bob2o2b3ob2obo2b3o7b2o3bo2bobo2bo7b4obobo8b4o3b
9o3bo3b2o2b2obo8bo4b2o5b2o4bo3b3o2b2o$bo8b2o3b3obo2bobob2ob3obobo2bo4b
o2bo2bo2bo3bo3bo5bo5bo3bob3ob2o2bobo3bo2bo4bo2b2obo2b2o2b2ob2o7bo5bobo
2bo5bo3bobo2bo4bo2bobo10b3o2bobo2bo2bo5bo3bobo4bo3bo5bo7b8obob2o2b2o2b
o4b4o4b2o2b2o2bo2bo6bo2b2o4bob2o2bob2o11bo$b2o2b3o2b2obobo4b2obo2bobob
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3b2o3b2o2bobobo23b4o2bo3b3o7bobobo2bo3b4obob2obobob3obo4bo4bobob2obob
2obobo3bo7b3ob2obobobob2o2bo2bo4b2obob3o$2bo2b2ob2o2bo2bo4bo2bob2o11bo
4bo5bobo3bobob2o7b5o2bo2bo2b3obobob2o4bob2o2bo2b3o4b2o3bobo3bob2o4b2o
2bobo4bobobob6o3bo2b2ob2ob2o4b3o9bobo2bo4bob3ob2o4b5o4b2o2bo2b4o3b2o3b
obo5bo4bob2o5b2obo4bobob2ob2o4bobobob2o6b3ob2obobo$7o2bobobo2b6o5bo2bo
bo2b4ob2o2bobo6bobo2bobobo5bob3o5b2ob2ob4obo4b2o13bob4o9bob2ob2o2bobob
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o3b3o5bo4bobo2b2o3bo4b2obo2b2obobobo2b3o2b2obobo5b3o2b4o3bo$b2obo3b2ob
o2b2o3b3o5b2o7bo4b2ob2ob2o2bo3bo4bo3bo2bobo4bo5bobobo4b2o4bob2o5bobo2b
o3bo3bo5b2o2b5o3b3o2bobo2bo3bo10bobo3bob2ob2o2b2o7b4obo2bo2bo4bo2b2o2b
2o3bo4bob2obo2b2ob2o2b2o4bo2b2o4bob3o2bo2b2o3bo4bo2b3o3bobob2obo2b8o2b
o3bo$2bo5bo7b2o2bo8bob5o4b3o2bo2bobo4b2obobobo3bobo2b2ob3o2bobo8bob3o
2bo2bobo3b3ob2ob2o2bobo2bo3b2obob2o2bo2bo2bo3b2o7bob2obo6b2o2bob2obo5b
2ob4o4b3o4bobo2b3o3b2o3bo3b2o2b4o4bobob2obo3b2obo6bo2bobo2b5ob2obo5b2o
2bo3b2obo5b3o5bo$2bo3bo2b3o5bo4bobo2b2o5b2o2bobo18bob3obo5bo4b2obo4b3o
3b3o5bo3b2obobobo2bobo4bo2bo7b2obo7bo2bo9bo3b3o3bo7b3obob2o2bob2obo4bo
bob6obo3bobobob2obobobo7b2ob4o4bob2o2b2obo3bobobo3b2ob2o2bo2b2o6bobo3b
3ob2obo2bob2o$2bobobo3b2o3bo2bo2bo3bobo10bobo5b2o4b2o3bob6o3b2ob2obobo
b3o2b3obo2bo7b2ob2o2bo2bobo5b3obo6bo2bob7o2bobo3bo2bob2o2bo6bo6bobo5bo
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b2o2b2o2bo2bobobobo2b2ob3ob3o2bobo5b2ob2o2bo2b2obo3b3o2b2o2b2o2bo2b3o
2b2o2bob2obo2b2o3b2ob2ob2ob2ob2o5bo4b3ob2o2bo$o2bo2bob2o6b2o5bo2bo2b2o
bobo2bo3bob2o2bo4bo3bo3b3o2bo2bob3o3b3ob3o3bobo5bob2o14bobo4b2ob2o3bo
9b2o3b2obob3ob2o7bo2bobo3bo3b3o2bo3bo2b3obo2bobo5b2o5b2o2b3o3b2o3bo2bo
2bo6b2o2bo2b2o3bo5bo2b4o2b3ob2o2b2o10b2ob5obo4bo2bo$o3bob2o2bobob3o4bo
5b2obo2bo3bo2bobobo5bob2o6bobo3bobo2bo2b2obo2b6o2b3ob4o2b4o2bo3bo6bo4b
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4bob3obo2b3o5bobob4o3b5obobo2b2ob2o3bob2o2b2o2bo4bo4b2o2bo2bobo$4obo2b
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3o5bo3b2o2bob2o3bo2bob5o6bo6b3o2b2ob2obo2bo2bo2b2obo$ob2o4bo3b2o3bobo
2bobo2b2obob3obo4b5o2b2obobobobo4b2ob2o2b2o2b2o3b3obo2b2o3bo3bobobob3o
4b4obo3b2o7bobobobo3bo4bob2ob4o2b2o2bob2o2b2o6bo7b3obo5b2o2bo3bo3bo2b
2obobobo2b3o3bob2o5bo4bo3bob2o2b2ob5o2bo2b2ob3o3bo3b2obob4obobob2o4bo
5bob3o$6bobo4bo2bobo5b2o3bob4ob2o5b2o5bob2o5bob4o7bob3obob4obo3bo3bo4b
2o3b2obo3b2o3b2o6bob3ob3obo6bobo3bobo4bobo2bo5bo3b2o4bo2bo3bob2o9b2o2b
2o4bo2b2obobob2o2bo2b2o2b2o11bo2b3obo3bo2bobo4bo3b3obo3bo5bobobobob2ob
4ob2o2bo2bo$bob2o8bo2bo2bob3obo2bobo5bo4b2obobo3b2obo2bobob2obo2bo2bo
2bo3bobo2bo3b2o2bo2bobobob2o4b2o2bobo2bo4bob3obo4b3o3bo4b2o2bo2bobo5bo
b3o5b3o2bo2bo3bob7o2b2o2b2obo6bob3o2bobobo6b2o3bobo5bo3b2ob5ob2ob4obo
2bobo2bo3bo3b5o7b2ob2ob3o6bo$3o5b2obo2bo10bobo3b4ob2ob2o5bob2o2bo3b3o
6b2obob2o2bo2b3o5bobob3o5bo3bo2b2o2b2obob3ob3o2b2o2bo2b2ob4o3b2o4bo4bo
5b3ob3ob3obo7bo5bobobobo7bo2b2obo2bo5b2o3b2o2bo2b5o2bobob2o9bo2bobo3bo
2bo2b2o6bo2b2o2bobob4o2bo3bo3bo6bo$b2o2bob2o4bobo4bo3bo3b2o2b2ob3o2bob
2o3bo2b2obo6bob2o2b4o3b2ob2ob2ob2ob2o2b4obo3bo3b2ob4obob2obo5bo5bo2b4o
3b4obo2b3o2bobob2ob2o2bobob2obobob2ob2o2bo2b3obobo2bo5bo3b3o6b4ob2ob5o
2b4obobobo4b2o2bo7b2obobo3b4o2b2o2bob2ob2o5b2obobo5bo3bo$bobob5ob3ob2o
bob2o3bobo2bobo3bo6bo2bobo3b2ob2o4bo4b2o4bobo2bo2bo3bo3bo2b2obob2o2bo
2b2o3bobo2bo6b4o2b2o2b2ob2o4b3obo5bob4obobo7bob2o3bo5bo5bobob3o2bo8bo
3b5o8bo4bo2b3obo3b2o12bob2o2bob3o5bobobo2b2obobobo6b2o2bobob2o2bo$2obo
bobo2b2obo2bo6bob3o4b3ob4o4b2o3b2obo2b3o4b3o2bob2o4b2o4bobo2bo4b3ob5ob
2o6bob2o3bo4bo2bo7b2o3bobobob2obo3bo7b2o6bob2o2b3obo2bo2bob2o2b3o3b2ob
2obo4bobo2bo2bob2ob2obo4b2o3bobob2obo5bobo2b2o3b2o6bo6bob2ob2obo2b5o2b
ob4ob2obob2o$2o3bo2bo2b2obobo3b2obo2bobobobo4b2obob9ob2ob2o2bobo4bob2o
3bobobobo4bo4b3o2bo2b2o4bo3b3o2bobob2o6bob2o2b2o3b2ob2o4bo4b3obo3b2o2b
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obobo2bobo4bo7bo3bo2bobo2bo$obob2o2b3ob2o8bo6b2obob2o2bob3o3bo6bo2bo2b
o4b4o3bo11bo8bo2b3o3b7obob3o2bo2bo7bo6b2obob3obob3obobo2b2ob4obo5bo2bo
bobo4bobo7bobo2b7ob2ob2obob2ob3o5b2obobo5b2ob2o3b3o4bo4b2o2b2o3bobo2bo
2bobo3bo4b2ob4ob2o3bobob2o$bo2bobob3obob4o3bob3ob2o4b2o2b2o3bo2b4o2b3o
3bobobobo2b4ob3obo4bo2bo2bo2bo3bo2bobo3bobo2bob2ob2o2bo4bobo3b2o3b2obo
3b2o5bo5bobobo3bob3o2bo3bob2o4bo3b2o2bob4o4b2obo2bo4b2o3bo5bobo2b3o2bo
bo2bobob4o4bo3bo7bob2o3bo6bo3bobobo2bo2bo2b4o3bo$5o2bobo6b2ob2ob4obob
2o3b5o8bo6bob2o6bobob2o2b2ob2o5bob4ob2o2bobo2bobob2ob4ob2ob2ob3o4bob4o
7bo2bobo2bo2bob2o2bob3o2bo5b2obobobobobobob5o3bo2b3obobobo2bo2b2o4bo
11b2o2bo2bo3bob2ob3o4bobob4o4bo2bo3bo6b3o2b2o2b3o5bo5b5o$2b3ob2o7bo3bo
3bobo3bob2o6b5o3bobo3bob2ob2o2bobo3b4o5b3ob3o2bob2o4bo2bob3obo2bo2bo5b
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2o3b4o6bobo15b2obob2ob2o8bo2b2obo3bob3o2bo4bo8bo2b2o3b2o2bo$2o9bob2o2b
4obo3b5obo3bob5ob2o2bo4bo2b2obo9bo4bo3bo5bo2b3ob2o5b2obo3b2o5bobobob2o
bobobobob3obob4o2b2obob2ob2o5bo2b4o3b2o4b3o3b2obobo7bobob2obo2bobob3o
2b2o5b4o4bo9b2obo3bobobobob2o6bo3bo4b3o4bobobob2o2bobo6bo3bo2bo$3o2bo
4bo2bo2bo2bo2b2o2bo7bob2o2bo2bo2bo6bobo2b2o3bo2b2ob2ob6obo7b2o3b2ob2o
13b2obo4bo2bo4b3o3bo2bob2o3bo4bobo5bobobo6bobob3ob2ob2o4b3obobo9bo4bo
2b2o3bobo2b2obobo5bobo2b2o6bobo2b3o3b2o5bob4o2bo2bo2bo5b2obo8bo3b2o3bo
$bob2o3bo2b2o3bo3bo2bob2o2b6obo2bo12bo5bobo4b2o2b2obo2bo4bob6o4bo3b3o
3bo6b5ob3o2bo7bobo3b2o5b2o3b2o2bobobo5bo2b2o2bo2b3o8bo2b4ob2o2b2obobob
2o16b2ob4ob2o2bo5b3ob2o2b2obob5o10b2ob2o2bo2bo4bo5bo2b3o3bo5bo$o6bob4o
5bo2bo2bobobo2bo2b2o3b2o2bob2o7b3o2bobobo2bo2bo6bob2o2bobobo2b2obo3b2o
b2ob2o2b2o2b4obo2bo3b4o3b2o3b5o2b3ob2o2bo5bo3b2obo3b2ob2ob2obo3bo3bob
2o3bo4bo5bo2bob2o2bobob2o3b2obo3bobob4o2b2o2bo10b4ob3o2b2o4bob2o2bobo
3b4o3b4o6bo2bo$5b2ob2ob2o6bob2o3bo2bo5bo3b2obo3b4obo2bo4bo2b2o2bo7bobo
2bo6bo6bo5b2o4b2o3bo3bo3bob2o3bo2bo6bo3bob2o5bo6b2ob3obobob3o3b2o3b3ob
o3bo2b2obo7bob2o4b2o6bo2b3o5bo7bo3b3o4bo3bo2b2o5bob4o2b2o3bob2o5bob2ob
o2bo3b2obo2bo$obo3b2o7bo4bobo3b5o9b2obo3b2obobobo3bob2o10bo2bo3bo2b3o
3bo3bo2bobo2b4o2bo2bob4o2bobo5bo2bo2bobo3bob3ob3ob2ob2o3bobobob2ob3o2b
2o3bo5b2o3bo2b4ob2ob6o6bo6bob2o2b4obob2o5b2obo2bobo4bo2b3ob2obo2bo4b2o
4bob2obobo2b3o2bo3bobob3o$3b3obobo3bob2o2b4o4bo2bo2bo2bo2b2o3b2obobo3b
2o2b3o2bo8bo2bo3bo7bo2bobo2bo6bo13bo5bobobo2bo3bo3bob3o6bo2b2o2bobobo
5b4o3b2o3bo3b2o2bo7bo2bob2o2bo4bobo7b2o4bo2b2ob2o9b2o5b2o5b2o5b2o2bo5b
o4bo6bob2o2bo4bo$bo7b2o9bob2obobobo6b5o2b2obo2b2o5bobobo2b3o3bob2o2bo
4bob3o4bo2bobo2bobo6b8o2bo4bobo2bo2bobo4b2ob2obo2bobob2ob3o2b3obo2bobo
2b2o3b2o3b4o2b3o2bob2o6bo3b2obobob3o2bo2b2o4b2ob2o2bo3bo3bo2bo2bo2bo2b
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2bo2bobo2b2o2bo3bo4bo2bobob2obo2b2o3b5o2bo3bobo2bo2b3ob2ob2obo4bo2bobo
2b2ob5o3bobob5o4bobo2b4o4bo4b2obo4bob2ob2o7bo2bo2bo4b2ob2obobobobo2b2o
11b2ob2o2bobob3o3bo6b2o6bobo4bobo8bo3bob2o3bob2o$bobobo3bo8b2obo3b2ob
2obo9bobo3b2ob6o3bobob2o2b2obo5b2o2bo3bo5bob8obobo7b3obobo2bobob3o2b3o
bobo2bo2bo2bob4ob2o2b3ob3o2b2obo2bo6bo2bo3bo3bobobo2b2o6bob2o2bo3bo3bo
bobo3b2o2b2ob2obo2bob4o5bob2ob4o3bob2obo5bo3bo2bobob2o2bo5bobo3bo$4bo
2bobo2b4o2bobo5bo4b2obobo2bo2bo2bo4b2o3bo3b2o4b4o2bo3bo2bo5bo2bo2bo2bo
bobobob2o2b4o3bo4bobobo2bobobo2b3ob2o5b2ob3obo2b2o2b2obo2b3o2bo3bo3b5o
2bo3bo3bo4bo3bobob3o2b2o5b2o2b3o2bobo4bobo3bo6bo3bo2bob2o2bo3b2o2bob2o
3b5o7bobobob2o2b3o$2ob2obo4bobo3bo3b3obo3bobobo5b2o10b2o3b3obo2b3o2b2o
2b2o5b3o2b3obo2bo3bob3ob3o2bo2bobobo2bo4b2o4bo6bobo3bo2bob2o3bo2bo4b3o
6bo3bo4b3obobo2bob2o3bo2bobo2bo4b4o2b5ob2o6bo3b3obobo4b2o2b2o3b5o2b2o
2b5obob2ob3obo8b3o2bo4b3ob2o$o2b2o3b2o4bo2b3o4bob2o2bo5bob2o5bo2b5obo
9b3o3bob3o3bob2obobo4bo2b2o2bo2bo2bo2b4o3bo2b2o4b2obo3b2o5bo2bob2o2b2o
2bo9b2o3bo2b2o6bo2bobo2bo4bo7b3obob3o6b2o7bobob2ob2o4bo3bo6bobo2b4ob3o
6bo2bo3bobo3bo2bobo2bob2o3b2o4b3o$bobo7bob5o10bo2bobo12b5o4bobobo3bo3b
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4bo3b2o3bobo3bo2bo2b6o2bo4bo2b2obo5bo6bobobobo5b2o2b2o3bo2bo4bo3bo3bob
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3b3o2b4o3bo4b2ob2o2b3o2b4o4b2obo2b3o2bobob2o$3o4bobo2b6o2bobobo2bo3b2o
4bobo3b2o4bo4b5ob3o3bobo7bo2bo5bobobobo2bobo3b4o3b3o4bo2b2o5bob2ob2o3b
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2o6bob2ob6obo4bo2b2obob5o2bobo2bob2ob3obo5bo2bo3bo2bo8bo$b2o2bo8b2ob2o
5bo4b8obo2bobobo4b2obo2b2o3bob3o4bob2ob2o4bobo2b4obo2bo2b3o2bob2o4bob
3obobobo3bob2o5b2obo5bobobo3bob2o3bo8bob3o8bob2ob3o2b3ob2o6bo6b3o3b2o
2b2obobo7b2o4b2o2bo3bo6b8obobob3obo4b4ob2ob2o2bo3b2ob2o5bo$b2o2bo3b2o
2b4o3bo2b2obob2o5bobo5b2ob5obob7o2b2o5bob2ob3obo2bo2b2obo3b2o2bo3b4ob
2ob5o6b3obobobobo2bo5bob2ob2o2bobo4bo4b2o4bo7b4o2bob2obob2obo3bo3b2o2b
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4bo5b5obo11bo6bo5b4ob3o3b2obo2bo2b2o2b3obo3bo2bobo7bo4bo2bo3b2o3b4o2b
3o3bo8b4obobobo2b3o4b2obo3b4ob2o4bo7bob2o2bo2b2o5b2ob3o3bobob4obob2o2b
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5o3b3o3b3obobo2b2o2b2o2bo2bo7bobo3b2o3b3o5bob2o2bo2b2o3b2o3bo2bobo4bob
2o5bob2o9b2o$bo2bo7bobo4b3o5b2o6bo4bo6bobobobo3b4obobob3o2bobo2b2o3bob
obob2o3b2ob5o2b3obo3b2ob2ob4o3bo2b2o3bob2o5b2o5bo3b2o2bo2bo2bo4b3o3bo
4bo4b3o2bo3b2o4b4obobob3ob2o3b2o3bo2b5o2b3ob3o2bo3bo2bo10b3o5bob2o5b6o
4b2o3bo3b2ob2obo$2b2o8b4o3bo3b3ob4obo2b3obo4bo7b2o12bo2b2ob2o2bo3b2ob
2o2bob3ob2o2b2obo5bob3o2b2obob2o2b3o8bo3bobobobo3bo5b3o2bobobobo2b2ob
2o2bo4bo3bob2ob6obo6bo7b3obo3b2obob2o2bo6b2o3bo3b3o3bo6b5obo3bo3b3ob2o
2bo2b2ob2o4bo2bobob2o$2o3bobo3bobo2bo3bobo2bo2bo2bob3obo2bob2o6b2ob4o
2b3obo3bo2b2o3bo3b2obo3b4o4b2o2bo4bob2o3bo2b3o3b2obobo3b3ob4obo6bob2o
3b2obo2b3o2b2obo2b3obobobo2b2o2bo2bob2o3bobobob5ob2o3b2obo5b2o6bobo4b
3ob4obo3b2o8b3o4b3o2b4obobo9b3o3bobo2bo2bo$3bob2obobob2obob2ob2o4bo4b
3ob3o3bob2obobo2bo8bobo3bobobo5bo3bo5b3o2bo2b2o2b2o2bo5b2o2b3o2bo2bobo
bobob2o4bob2obo2bo4b5obo7b2ob2obo2b4o2bobo4bob2o2bo4bo11bobo6b2o5bo4bo
bob2obob2o4bo2b2o4b3obo5bo2b2o5b2o2b2o2bobo4bobo5bo3bobo$2o8b3obobo3bo
2bob2obo2bo4bobob2obo5b2o2bob3o2bo2b2o4bo3b2obo4bo4bobo4b2ob2o6bo2b3o
21b5o2bo2bo5bo4bo4b2obo2b2o8bobo2bo4bobobob2ob3o7bob2obob2o2bo5bob2o3b
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bo3b5obo3b2o$2o3b2ob2obo2bo2b2obo3b4o2b2obobo7bo3bo2bobo5b2ob2o2b3o6bo
2bo2b2obob2o11bo2b2o3bobo3b3ob3o2bo5b4o2bo2b2o11b2obo3b3obo3bo8bo2bobo
2bobo3bob3obo3bo2bo7bo2bo3bobo3bo3b2o3bo4bobob2o5bo5bo4bo2bo2b3obob3o
3bo8bo6bo2b2obobo$obo5b3o2b4o2b2o3bo2b4o3b2o2bo4bo5bobobob2ob2obob2ob
4o2bobo2bo4bo3bo2b3o2bo3bo2bo3bo2b2o6b2o2bo2bo3bo4b2o4bobo2bo3b3obo2bo
9b3o4bo3b3o2b3ob3o2bobo4b4o2b2o3bo3b2o12bobo2bob2o2b6o6b2obo2b2obobo2b
o2bob2o8bo2b5obo2bobob2o$bo4bo2bob2o3b2o5bobo2bobobo3bobobobobob3obobo
b2o3bobo3b4ob3o3bobo3bo2b4o5bobo3bo4b4o8bo4bob3o3bo2b5o4b2ob2o3bobobob
o2b2obo6b2ob2ob3obo5b2obobobo3b2o2bo7bo2bo10bobobo5b2o4b2ob2o3b3ob2o5b
2obob2o2b2o2bobobo2bob2o2bob2o2bobo4b2o$3bo2bobob2o8b2o9bob2o3b3obobob
obo2bobob3o5b3o3bo3bob2o3bob3o2bob2obobo3b7ob2o3b2o2bo2bo6bobobo2bobo
3bo3bob2o3b2o2b2ob2o3b3o4b2o2bobobo2bo8bo2bo2b2obo5bo2b2obo2bobo5bo4bo
2bobo4b2obo2bo4bo9bob3obobo2b2o4b2o8bo2bo3b2o3b4o$4b3obo2bo3b2o3b2o2bo
6b2o2b2o6b2o3bo3bob2o2bob3obobo2bobo2bo4b4obo3b3o2bo4b3obo4bo2b2obobo
2b2ob2obobob2obo2bo7b4o8bobo2bo3b2o3b4obo2b2o3bobo5bob2obobobobo4bo3b
2o3bob2obo3bob3obo2bobobo5b3o3bo4bo2bo2bo5bobo3bo6b2o5bo3bobob2o4b2o$
3bob2o5bo3bob5o7bob2ob2o4bobo2b2obo5bobobobob2obo2bo3bo6bo2bo3b2o2bo2b
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ob2o2bobo2bo2bobobo2b4obob2obo3bo3bob2o2bo4bobobo9bob2ob2ob2ob4ob2obo
3b2ob2obo3bo5bobo2bo$obo2b2o5bo2bo3bobob3obo2bo3bobo3bo2bo2b2ob2o2bo3b
o2bo2bo4bo2bob2o2b2ob2obobob3o3bo5bo3bo11b3obo2bo4b2obo3bo3bobo3bobo5b
5obobo2bob2obo6b2o2b2ob2ob2ob6ob2o2bo13bo4bo3b2ob3o3bob4o2bo3b2ob3o3b
4obo2bobobob2obobo2bobo4bo3bobob2o6bo$o2b2obo5bo2bo7bo3bo3b4o2bo4bo2bo
bob2o3b3ob2o6bo8b2o3b5obobo2b2ob2o9b2o3bo4bo3b6o5bo2bo3b2ob2obobo7bob
7obobobob3o3bobo3bo3bobo7b3obobo2bo3bo6b2ob3obo6bo2bo2bo2b4o5b4o4bob2o
4b2obo2bobobo3b2o3b2o2bo2b5o2bo2bo$ob2o2b3o2bobob2o5b3o7bob2obo2b3o6bo
3b5o2bo2b2ob2o2b3o7bo4bo2bo2b3obo2b2ob2o3b4o3bo7bo2bo3bobo8bo2b6o3bo2b
3obo2bobo3bo3b2o4bob2obob3o3bo3bob2o2bob5obob4o2b2obo3bo2b3obobo3b2obo
2b3ob2o4bo4b2o3bo4bobob3obob2obo2b2o2bobobo3b2o$b2obo2bo2bobo3b2o2b2ob
ob3ob2o2bo2bo2bo3bob2obo2b2o2b2o6bobobobo4b3o4bobo4b3o2bobo4bob3o2bobo
2bob2ob2o9bo3bo2b3o7bo2bobobobobo4bo3bo3b4o2bob3o2bo4bob2obo8bo2b4o5b
2o7b4o3b2o2bo2bo8bo2bo3b2o3bobo6b2o2bobob3o3b3obo4b2o2b2o4bo$2bo3bobo
4bo2b6o9bo2bobobo6b2o4bob2ob2o3b2o3bob2o2bob2ob2obobobo2bo2b4o3bo3bobo
2b4o2bo12b2o5bo4bo3b3o2bo2bobob3o3bo7bo3bo2bo3bo4b2o2b2ob2o3b3o5bob2o
2bo3bo2b2o3bo2bo2b2ob6obob2o3bob2o10bo2bobo7bo4b2o4bobo2b2o2b2obo2bobo
$5bob2o6b2obob2o2b3o3bobob2o2bob3ob4o4b2o5b2obo4bo2bobo2bob2ob5obo3b2o
3bo5bob3ob2o2bo4bobo2bo3bo3bo5b2o8bobo5b2o3bo2b2o3b3o7bo3bo2bo3bobo2bo
2bobo6bo3bo2bo3bobobo2b2obo2bo2bobo7bo2b2obo2bobo3bo2b2o4b3o4bo3bob3ob
obobo5bo6bo$o4bob4ob2o3b2o11bobobo6bob2o3bo3bob4o4bo2b2o2bobob5o2bo4b
5ob2o4bo2bo3b2o4b3o4bo6b3o2b3obob2o6b2obobo2bo2b2obo3bo5b2ob3ob3obobo
6bo4bo6b2o6bobo8bobobo2b2o3b2o2bo4bo2bo4bo2b3obob2obo11bobo9b5o2bob2ob
2obo$o2bo4bob3obob2o2b2o2bobo2b2o2b4o2bobo3bob4obo3bo2b2o2bobo3b2o2bo
4b2obobo2b2o2bobobob2obob2ob3obob2obo7b3obobo6bobobo2bo2bobobobo3bo4bo
3bo3bo2bo2bo2bob3obo3bob3ob3o5bobo5bob2obob2obo2b2o3bo2bo3b4o8bo2b2o2b
4obobo4bo2bobo5bo2b3ob3o3b3o3b2o4bo$4bobo3b3o4bobobo10b5ob3o2b2o4b3obo
bo4b2obo2bo3bob2obo8b2obob2o3bo4bob2obo4bo2bobob2o3bob2ob3o2bo2b2o2bo
8bo2bo3b3o2bobo2bob4obobo6bo2bo6b2o2b2obo4bo9b4obob2o3b2ob2o2b2o3bo3bo
3bobo3bobo4bob2obob4o5bobobobob2obo2bobo2b2o3b2o$2b4o4bo3b2obo8b2o2bob
o5bobob2o2bo3b3o2bobo2b2o2b5ob2o5b2o2bobo2b4o4b2o5bo3bo5bobob2o15bo7bo
3bo2bob2o2bo3bo5bo2b2o2bo3bo2bobobobo3b4ob5o2b6o2b4o4b2obo8b5obo2bo3bo
bo2b2o2b2obo2b2o4bo2bob2obo4b3obobo3bo3bo2bo3b2ob2o$o2bob2o4bo5bo5b4ob
o6bobo6b2ob2o2b2o3bo2bob3o3b8obo4bobo2bo2bobobobo2b3ob2ob2ob5o4bo2bo2b
2o3b2obob2o2bo2b4obo5bobo2bob2o10bo4bobobo2b4o5b3o2bo2b5o2b4o4bo3b2ob
2o2b2obo2bo4b4obo3b2o2b4ob2ob6o2bob3ob3o4bo2bob2o6bob4ob2o$o2bo3b3obob
2o2b2o2bob3obo2b2obo3bo2bobo2b2o4bo2bobo4bobo3bobo2bo5bo5bobo2b2o2bobo
3bobob3obobo3bo5bob2o11bo2b3o2bo2bo2b2o2bo2bo2b3obo4bo2bobo3b3o3bobo2b
3o4b2o9bo3bo6bo4b6obob2obo3b7ob5o3bob2o12b3ob2obob2ob2obobobobob2o3bob
2o$5b4obo2bob3obo4b2o5bobo2bobo4b2o5bobobobo2bo2bobobobobo5b6o2bob2obo
6b2obobo5bo3bo2bo3b4ob2o2bobo2b4o2bo2b2o4b3ob2o3bobob2o2b3ob2obo2b3obo
2b3ob4o4b3obo7bob5obo7b6o4bob2obob2o2b2o5b3obobo2bo8bo2bobo3b2o4b3o2b
2o2b3o3bo$b2ob2ob3o5bo4bobob3o3bo6bobob2o5bobob2obob4o2b2obo2b3o3b3o3b
2obo3b2obo3b3obobob7o2bob2o6b2ob2o2b2obobo4bo6bo5bobob2o3b4o2bo2b3obo
2bo2b2o2b2obo2b2obobo4b4o2b2o2bo4b3ob3o10bo3bo4b2obo8bob2o2bo2b3o3b3o
4bob4o4bo4bobobo3bobo$bobo6bo3bo2b3o4b2o4b4obo2b2o2bo3b2o5b2o2b2o3bo3b
ob2o2b2o5b4ob3o8bo2b3o3b2o3bo4b5o4bo5bobobo3bo2b2o5bo2bobob2ob3ob5o12b
o4b2obob3obobobo5b2obo4b2o2bo5bob4obobo2bob2ob2o2bo3b2obobob2o11b2o2bo
2bob6ob2ob2o2b2ob2o3bo3bo$3o2bobob2o11bo4bob3o2b2ob3o2b4o2bobo2bobo3b
4obo3bobo4b2o5bo2b3obob5obo4b4obo6bob4o4b3o2bo5bo2bo3bo2bo3bobob4obo4b
2o3bo3b4o2bo7b2o2b2o3bob5o4b2o2b2o2bo2b2o5b2o6bo5bob3obobo2bobo3b5o6bo
8bobo6b2ob2obo2b3obobo$2bob2o2b2ob2o8bo3bobo3bo2bo2bo2b2obobobo2b3o5bo
2bob2obo2bob2o2bo2b3o4b2ob2obo2b4o3b2ob2ob3o2b2o3bobo6bobobo2bo2b2o2bo
6bo2b3o2bo5bob4ob2o3bobob2o4bo2bob2o2bobo3b2obobo3bo2bo4b4o6bo4bo3b2o
3bo2bo2bo6bob2obo2b2obo3b2o2b2ob2obob3o2bob2obob2o4bo$o5bobobobobobo2b
obobo3b3obo4bob2obo3bobob3o2b2o4b2ob2o3bo2bo2bo2bo2b4o6bo3bo2bobo6b2o
6bo4bo3bo3bo2bo2bo4bob2o2bo4bo2b3o3b2o2b2obo2b2o2bo3b2o4bo2bob2o6b2o2b
o2bo3bo2b2o3bobo7bobo2b2obo6bo2bo2bobob3obob2o2b2o4bo3b2o2b2o4bo3bo2bo
b6ob2ob3o$2obobo14b3obo5bobob3o2bobo3b2o4bob3o4bob4obo2b2o7b2ob2o4bo3b
3o2bob2o6b3ob2o4b2o3b2o2b3o2bo10b2ob2o3bob3obob4o3b2o2b3ob2o2bo3bobo7b
2o2bo2bo2b2o3b3o9bo6b5obobob2o2b2o2b2o2bobobob3o4b2o2b4o4b2o2bob2ob3o
2bo7bo3b3o$bo4b2o6bobo3b3obobo3bo3b2ob2obobo2b3o3bo5bobobobob2o4bobob
2o6bo3b2o3bo5b4ob2o2bo2b2o4b2ob2o2b3o8bo5bob2o2b2obobo2bo2bo8bo6b2ob3o
4b7o2bo2b2o4b3ob3ob2o2bo2bobo3b2obo3bobo3bo3b3o4b2obo4bobo6b5o3bobo2bo
8bo3bobo2bobobo$2obo2bobob2o2b2ob2obobo2bo2bo2bob6o3b2obo5b2o2b4o2bo3b
2o6bobob2o5b3o2bo3b2o4bo2bobobob2obo12bo5bobo3bob4o2b2o3b2obo5bobobo2b
o3b2o2b2o3bo6b2o2bob3obo8b4o2bo2bo3bob2obob3o2bob2o2bobo5bo3bo2b2o2bob
3o4bobob2o2b2obo8bo3b2o3bob2o2b2o$4ob2o3bo3bo3b5ob3obo5b2o2bo4bobo2bo
4b2o2bobo4bo2bo7b2obo2bo8bo2bo2bo3bobob3obo2bo6bo2bo2b2obo2b2obobob5o
3bobobo3bo2bo3bo2bo3b4o4bobo4b3ob3obo3b2o3bo3bobobob2o3b2o4bo2bo2bo2b
2ob3o3b3ob2o2bobo2bob4o3bo4b2ob2o3bob2o3b3o4bo5b2o5bo$3bobob2o7b2o4b2o
5bo2bo4b2o6b2ob2o5b2o2bo2bobob2o5bobob4o2bobo2bobob2ob3o3bob2o3bob3obo
2b5o2bo2bobo2bo5bo12b3obo2b4o4b3ob2o2b3o2b3ob2o4b2o4bob2obo7b4o2b3ob2o
2bo5bo2b2ob2o2b4o2bobo2bobobo2b2obobo4b5o2b2obo4b2o4bo4bo6b2o$3bob2o2b
2o2bob2ob2o2b6o3bob2o3bobo5bo5b2o2bobo3b2o2b4o4bob3o2bob2o2bo5b3o4b2ob
o2bobobo2bo3bo2b2ob3o2bob2o2bob2obob6obo3b2ob2obobo2bobo4bo2bo3b2obobo
bobo4b2obobob2o2bob2o2b3o5b3obobo3bo3bo5bobobo2bob6o2b2o6bo2bobob2o4b
2o2bo5bobo5bo6bo$o2bo2bo3b3o2b3ob2o3bo8bobobo9bo5bo4b2o5b2o3b3o3bo3b2o
5bobo2bobob2o5bo3bo3b2obob3o2bo2b3ob2o2b3ob3o2bo3bo3bo4b2obo2b6ob2o9bo
3b2o6b2o5bob7o3bobo3bo2b3o3bo2bobob2o2bo2b2o6bo3bobo6b2ob2o2bo3bo2bo3b
2o2b2o3bo6b3o$2o2bo4b2o3bo8bo4b2obob4ob5ob4o2bo2b2obo11b2o3bob3ob4obob
obobobo4bo2bobo2b3o6b3obo2bo2bo3bo4bobob2o4b2o3b3obobo3bo5b2o3bo2b3o4b
o4bo5bo2bo3bo2bo6bo3bo3b3o4bo4bobob2o2bobob3o3bo8b2o3bo4bo2bo2bo4bob2o
bo2b4obo4b2o3bo$2b2o3bo2bo7bo5bo2b2ob2obo3b2ob2ob3o2b3o2bo5bobo11b2obo
2b2o6b4o2b3o6b2obo3bob2o3bo2bo2b2o5bob2obobob2obobobob2obobo4b5o6b2ob
4o10bo2bobobo4bo2b5o3bobo3bo2bo2b3obob5o2b2ob2o3bo2bo2b2o2b2ob2o2bobo
2bo2b2o2bo5b2obo3bobobo2b2obo3b2obo$bo3b3ob3o2bo3bo4b2o2bo3bobo3b2ob2o
2bob2o2b2o6bo3bobo6bobobo2b5o3bobo4bo2b2o2bo2b2obo2b2obobob3o2b4obo2bo
2b3o3bo3bo2bo2b3obobo2bobo5bo3b2o11b2o3bo2bo7b3ob2o5b3obobo2bo3bo5b2o
3b3o3b3obobo5b2obo5bob3o13bo3bo5bo2b2o5bo$2bo2b2o2bo3b3o2b2o3bo3b3o3bo
5b2obo4bo5b2o4bo3b3o2bo2bo2b4o4bo2b2o2bo3b2o3b2ob2ob4o3b2obo3bob3o3bob
ob4o3b5o2bob2o3bo5bobo2bo2bo4bo3bo3bobob2o2bo2bobo3bo2bob3o6b3o2b3ob2o
3b3ob2ob5obob5ob2obo2b3o7bo4bob2o4b2obo3b2o5b2o3b2obobob2o$obob2obobo
4b3o4b2obob2o4bo2bob3o2bobo5bo3b2o6b2o4bo2bo2b2o3bob2o3b2o2b2o2bobobo
2b3ob3ob4ob2ob4o2b6o6b2o9b2o2b2ob2o2bob2o5bo3bo2b2obo4bo4b2o15bo8b2obo
4bo3bob3o3bobo3bob4o4b2o2bo5bo5bo4bo2b4obo3bo3b3obo9b2o$b3o6bo2b2ob2ob
2o3b5o3bo2b2obo4bobo2bo2bobobobo6b2obobobob3obo3bo2b4o2bo10b3obobo4b2o
2bob3obo2bo2b6o2bo2bo2bobo5bobo3b2obo4bo3bobo3bobo4b2obo8b4o3bobo4b4o
5b2o5bobob2o2bo3bobo3b2o3b2o6bo5bo5b2o2bobo2bo3bo3bob2ob2o4b2o2bo$4o2b
5obo2bobo7bo2bobo2bo7bobo6bob2ob7o7bo4bobobo4bo4bobo4b2obo2bo3b2o2b3ob
obo4bo6bo8bo4bobo2bo2bo2bobob3o2b2o3bo2bo2b2obo3bo6bobo2bo2bo2b2ob2o2b
obo2bobo2b3obobob2o3bob2obob5ob2o2b2ob2o2bo4bo3b2o2bobob2ob2obobo5bo2b
3o4bo6bo$4bo6b2obobo7b3obo3bob2o4b4o4bo7b3o2bo2b3ob2obo2b2o3bo4bobob4o
bo5b2o4b2obo3bobo2bo4b4o2bo7bo2bo8bo4b2o2bo5b2o2b2ob3o2b2obob5obob4o
10bo3bob2o2bob2o9b2ob3o5b2o3bob2ob2o3bo2bo3bob2o4bo4bo8bobob2o7bob2obo
$2b2ob2o2bo2b2o2bo2bobob2o3bobo2bob2ob2o6b2o5bo5b5o2b2obobo2b2o6bob2o
2bobo3b2obobo2b2obo12bobo3b2o3b3o2b2o4b2o2b2ob2o3bo2bobob3o2bobo4bo3b
2o4b2ob2o2bo2bobo2bo4b6ob2obo5bobo6b2o4b3o2bo4bo2bo2bo5bo4b2o2b2ob3o3b
o4b3o2b4obo2bo2b2o2bo$o2b3o2b2obob3o4b2o2bobobobob2ob2o2bob4o2bo3b2o6b
o2b2o3bob3o3b3o8b3o2bo2b3o4bobobobo3bo2bobobo5b5obobobobo3bo4bobobo5b
2obobo5bo2b3ob2ob2obo2bo8bo8bo3bo6b3o2b3o3b2o2bo2bo5b4o2bo2bo2b3o4b2ob
o9b4o3b5o8b2obo2bobobo2bo!

-- Kalan Warusa

Code: Select all

x = 4, y = 4, rule = B2ek3ij4-jnqrz/S23
2b2o$3bo$ob2o$3o!

User avatar
hotcrystal0
Posts: 219
Joined: July 3rd, 2020, 5:32 pm
Location: United States

Re: Thread For Your Useless Discoveries

Post by hotcrystal0 » June 14th, 2021, 5:30 pm

This methuselah produces a paperclip.

Code: Select all

x = 12, y = 5, rule = B3/S23
10bo$10b2o$b2o7bo$ob2o$b2o!

Code: Select all

x = 192, y = 53, rule = Conway's Life
33$42b4o$41b6o$40b2ob4o$41b2o3$41b2o$39bo6bo$38bo8bo$38bo8bo$38b9o3$42b
4o$41b6o$40b2ob4o$41b2o!

Code: Select all

x = 12, y = 12, rule = B3-ckq4cj5c8/S2-i34c5e
2b2o3b3o$3bo3bo2bo$o$2o5bo3bo$7b4o$8bo2$2ob2o$o3b2o$o3bo$bo2bo$3bo!

ColorfulGabrielsp138
Posts: 180
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Re: Thread For Your Useless Discoveries

Post by ColorfulGabrielsp138 » June 15th, 2021, 3:35 am

I recently found a 21-cell pure glider generator whose initial configuration consists entirely of lone dots.
Should it be added to the wiki, or did anyone find a smaller one?
What is the smallest two-cell-thick pure glider generator?
Also, are there any one-cell-thick pure glider generators?

Code: Select all

x = 19, y = 15, rule = B3/S23
6bobo2$5bobobo$16bo$6bobobo7bo$16bo$18bo$16bo2$2bo$o3bo$2bo$o3bo$2bo$
o!  21-cell lone dot pure-glider generator

Code: Select all

x = 21, y = 21, rule = LifeColorful
11.E$10.3E$10.E.2E$13.E4$2.2B$.2B$2B$.2B15.2D$19.2D$18.2D$17.2D4$7.C$
7.2C.C$8.3C$9.C!
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EvinZL
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Re: Thread For Your Useless Discoveries

Post by EvinZL » June 15th, 2021, 8:05 am

ColorfulGabrielsp138 wrote:
June 15th, 2021, 3:35 am
I recently found a 21-cell pure glider generator whose initial configuration consists entirely of lone dots.
Should it be added to the wiki, or did anyone find a smaller one?
What is the smallest two-cell-thick pure glider generator?
Also, are there any one-cell-thick pure glider generators?

Code: Select all

x = 19, y = 15, rule = B3/S23
6bobo2$5bobobo$16bo$6bobobo7bo$16bo$18bo$16bo2$2bo$o3bo$2bo$o3bo$2bo$
o!  21-cell lone dot pure-glider generator
Theses are not notable. don't

hotdogPi
Posts: 362
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Re: Thread For Your Useless Discoveries

Post by hotdogPi » June 15th, 2021, 8:15 am

The only non-historic notable pure glider generators I know of are the two 4G→5G reactions.

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Entity Valkyrie 2
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Re: Thread For Your Useless Discoveries

Post by Entity Valkyrie 2 » June 15th, 2021, 6:18 pm

hotdogPi wrote:
June 15th, 2021, 8:15 am
The only non-historic notable pure glider generators I know of are the two 4G→5G reactions.
4G→6G (used in my P369 snarklotron)

Code: Select all

x = 89, y = 66, rule = B3/S23
obo$b2o$bo18$39bo$37bobo$38b2o37$86bobo$87b2o$87bo2$85b2o$84b2o$86bo!
Bx222 IS MY WORST ENEMY.

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B3-kq4ej5i6ckn7e/S2-i34q6a7
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wwei47
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Re: Thread For Your Useless Discoveries

Post by wwei47 » June 15th, 2021, 7:41 pm

Pentadecathalon rephasing

Code: Select all

x = 14, y = 13, rule = B3/S23
2o3bo2bo3b2o$5ob2ob5o$2o3bo2bo3b2o8$2o3bo2bo3b2o$5o4b5o$2o3bo2bo3b2o!

ColorfulGabrielsp138
Posts: 180
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Re: Thread For Your Useless Discoveries

Post by ColorfulGabrielsp138 » June 16th, 2021, 7:22 am

EvinZL wrote:
June 15th, 2021, 8:05 am
ColorfulGabrielsp138 wrote:
June 15th, 2021, 3:35 am
I recently found a 21-cell pure glider generator whose initial configuration consists entirely of lone dots.
Should it be added to the wiki, or did anyone find a smaller one?
What is the smallest two-cell-thick pure glider generator?
Also, are there any one-cell-thick pure glider generators?

Code: Select all

x = 19, y = 15, rule = B3/S23
6bobo2$5bobobo$16bo$6bobobo7bo$16bo$18bo$16bo2$2bo$o3bo$2bo$o3bo$2bo$
o!  21-cell lone dot pure-glider generator
Theses are not notable. don't
wwei23 found a 10-cell version

Code: Select all

x = 21, y = 21, rule = LifeColorful
11.E$10.3E$10.E.2E$13.E4$2.2B$.2B$2B$.2B15.2D$19.2D$18.2D$17.2D4$7.C$
7.2C.C$8.3C$9.C!
I'm free at last

Naszvadi
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Re: Thread For Your Useless Discoveries

Post by Naszvadi » June 16th, 2021, 12:18 pm

ColorfulGabrielsp138 wrote:
June 15th, 2021, 3:35 am
I recently found a 21-cell pure glider generator whose initial configuration consists entirely of lone dots.
Should it be added to the wiki, or did anyone find a smaller one?
What is the smallest two-cell-thick pure glider generator?
Also, are there any one-cell-thick pure glider generators?

Code: Select all

x = 19, y = 15, rule = B3/S23
6bobo2$5bobobo$16bo$6bobobo7bo$16bo$18bo$16bo2$2bo$o3bo$2bo$o3bo$2bo$
o!  21-cell lone dot pure-glider generator
PGG:

Code: Select all

x = 16, y = 8, rule = B3/S23
5bo$3bo9bo$5bo9bo$bobo9bo$5bo9bo$bobo9bo$15bo$obobo!
P3:

Code: Select all

x = 7, y = 5, rule = B3/S23
2bobobo2$bobobo2$obobo!
[APPEND#1]
PGG 16 cells?

Code: Select all

x = 13, y = 9, rule = B3/S23
5bo$3bo$5bo$bobo$5bo$bobo$8bobobo$obobo$9bobo!
[APPEND#2]
PGG 12 cells:

Code: Select all

x = 6, y = 11, rule = B3/S23
3bobo2$2bobo$o$2bo$o$2bo$o$2bo$o$2bo!

ActivistVictor
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Joined: June 17th, 2021, 12:59 am

Re: Thread For Your Useless Discoveries

Post by ActivistVictor » June 17th, 2021, 1:04 am

x = 5, y = 9, rule = B3/S23
b4o$o3bo$4bo$3bo3$3b2o$2bobo$4bo!

collision between glider and LWSS that tries to produce a switch engine. If the 6 cell spark at the top left at gen 81 could be destroyed a switch engine would show up on gen 85, but so far I haven't been able to do it by ramming it with gliders so maybe someone on here will have better luck if they feel compelled to try.
Last edited by ActivistVictor on June 17th, 2021, 1:22 am, edited 1 time in total.

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JP21
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Re: Thread For Your Useless Discoveries

Post by JP21 » June 17th, 2021, 1:09 am

ActivistVictor wrote:
June 17th, 2021, 1:04 am

Code: Select all

x = 5, y = 9, rule = B3/S23
b4o$o3bo$4bo$3bo3$3b2o$2bobo$4bo!
Added code [</>]

wwei47
Posts: 931
Joined: February 18th, 2021, 11:18 am

Re: Thread For Your Useless Discoveries

Post by wwei47 » June 17th, 2021, 11:30 am

ActivistVictor wrote:
June 17th, 2021, 1:04 am
collision between glider and LWSS that tries to produce a switch engine. If the 6 cell spark at the top left at gen 81 could be destroyed a switch engine would show up on gen 85, but so far I haven't been able to do it by ramming it with gliders so maybe someone on here will have better luck if they feel compelled to try.
Here's a solution:

Code: Select all

2bo$obo$b2o15$31b4o$30bo3bo$34bo$30bo2bo3$33b2o$32bobo$34bo21$b3o$3bo
$2bo!

ActivistVictor
Posts: 6
Joined: June 17th, 2021, 12:59 am

Re: Thread For Your Useless Discoveries

Post by ActivistVictor » June 17th, 2021, 11:52 am

thanks mate.

building off of that I found a further solution that actually produces infinite growth. Probably not the most effiicient method but eh

Code: Select all

x = 71, y = 71, rule = B3/S23
60bo$59bo$59b3o4$6bo$4bobo$5b2o15$35b4o$34bo3bo$38bo$34bo2bo3$37b2o$
36bobo$38bo21$5b3o$7bo$6bo8$59b3o$59bo$60bo$2bo$2b2o64b3o$bobo64bo$69b
o!

MathAndCode
Posts: 4805
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Re: Thread For Your Useless Discoveries

Post by MathAndCode » June 17th, 2021, 12:43 pm

Pentoad 1H2 works with beacons.

Code: Select all

x = 100, y = 26, rule = B3/S23
74b2o$75bo$75bobo$76b2o$80b2o$80bo$8b2o31b2o37bo$8bobo2b2o26bobo2b2o31b
2o$9b3ob2o27b3ob2o$15b2o31b2o33b3ob2o$5b2o8b2o21b2o8b2o32bobo2b2o$6bo
32bo42b2o5b2o$6bo8bo23bo9bo39b2o$6b2o7b2o22b2o7b2o$2b2o11bobo17b2o10b
obo40bo$bobo12b2o16bobo10b2o40b2o$bo8bo23bo19bo33bobo$2o8b4o19b2o16b4o
33b2o$13bo37bo43bo$92b4o$8b2o45b2o35bo$9bo45bo$6b3o47b3o37b2o$6bo51bo
37bo$97b3o$99bo!
I have historically worked on conduits, but recently, I've been working on glider syntheses and investigating SnakeLife.

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