Thread for your unsure discoveries

[HotWheels9232]

p4140:

Code: Select all

x = 71, y = 84, rule = B3/S23
57b2o5b2o$57b2o5b2o4$25b2o$25b2o$11bo10b2o6bo3b2o$11bobo7b3o5bo3bobo$
14b2o6b2o6b5o$2o12b2o9b2o4b3o$2o12b2o9b2o$11bobo$11bo11bo$21bobo$22b2o
2$56b2obo3bob2o$57b3o3b3o$58bo5bo5$24b2o$25bo$25bobo$26b2o36b2o$64b2o
18$12b2o$12bobo$13b3o51b2o$14b2o41b2o8b2o$14b2o41bo$12bobo43b3o6bo$13b
o46bo5bobo$66bobo$67bo$10b2o3b2o$10b2o3b2o$64b2obob2o$12b3o3b3o43bo5bo
$12b3o5bo44bo3bo$13bo5bo42bo3b3o$61b2o$61bobo4$14b3o$14b3o$13bo3bo47bo
$65bo$12b2o3b2o45bobo$63b2ob2o$62bo5bo$65bo$62b2o3b2o3$66bo$66bo$67bo$
15b2o$15b2o$64b2o$64b2o!

[C28]

r-turner + gormet catalyst = some still life + blinker

Code: Select all

x = 12, y = 10, rule = B3/S23
2b2o6b2o$4bo4bobo$o2bo5bo$3o5b2o2$8b2o$7bobo$8bo$9b3o$11bo!

[Jormungant]

The following p16 spark, which includes an edgy dot spark that react to exactly 5 phase for a passing glider, can filter 4 /5 gliders without blowing up:

Code: Select all

x = 70, y = 59, rule = LifeHistory
8.3B2.4B$6.6B.5B$4.B.3BA2B3.4B$3.2A3BABA.B3.4B$3.2A2BA3BABA3.B3A$4.4B
ABABA.A3.A3B$4.3B.B3.BA5.A3B$7.2B11.4B$7.3B11.4B4.2A$5.2B3A12.4B3.A2.
A.A$5.2B3AB5.2A5.4B4.2A.3A$6.B3A.B5.A5.4B5.B4.A$8.B.3AB3.A.AB.7B.B2AB
3A$9.B3A2B3.2AB.7B.B2A.A$10.3A2B5.3BA9B$10.3B7.2BABA6B5.2A$11.2B7.2BA
BA4BA2B4.A$17.B.4BA4B3AB.2A.A$16.2AB.7BA3BA.2BA$16.2A10B3A3B$17.2B.9B
3A2BA$20.10BA2BA$22.5B2A3B3A$23.4B2AB2.B2A4B$27.3A3B2A5B$28.A2BA10B$
27.A2B3A9B.2B$28.3B3A10B2A$26.A2B.A3BA7B.B2A$25.A.2A.B3A4BA4B.B$25.A
4.2BA4BABA2B7.2B$24.2A5.6BABA2B7.3B$29.9BA3B5.2B2AB$27.A.2AB.7B.B2A3.
2B2ABA$25.3AB2AB.7B.BA.A3.4B.A$24.A4.B5.4B5.A5.A.4B$25.3A.2A4.4B5.2A
5.AB2A2B$27.A.A2.A3.4B12.B2A2B$31.2A4.4B11.3B$38.4B11.2B$39.3BA5.AB3.
B.3B$40.3BA3.A.A2B2A4B$41.3AB3.A2B3A3B2A$42.4B3.B.3A3B2A$43.4B3.6B.B$
44.5B.6B$45.5B.3B$46.8B$47.B2A2B$48.2A2B$49.4B$51.2A$51.A2.B$52.3AB$
53.BA2B$54.4B$55.4B$56.4B$57.4B!

So it means that any 2*N period, with N odd, glider gun can have 3/8 glider filtered out (as long as the period is not too low, since there is a glider -> boat -> blinker -> hive -> nothing reaction in 1 case. Of course it would be nice if all 5 cases would be managed , but the last one is a r-pentamino to manage, and it does not seem easy to contain while not interfering with the diagonal.

[yaochen2]

I was messing with a switch engine pair that shoots backwards gliders when I put a R pentomino behind it:

Code: Select all

x = 15, y = 16, rule = B3/S23
7bobo$6bo$7bo2bo$9b3o7$bo$3o2$3o9b2o$b2ob2o7b2o$3bo9bo!

It stabilizes in 71,093 generations, which is longer than any other (known) pattern in a 16x16 bounding box.
These days, long lived methuselahs aren't as useful as they once were, so I'm putting it here.

[dvgrn]

I was messing with a switch engine pair that shoots backwards gliders when I put a R pentomino behind it:

Code: Select all

x = 15, y = 16, rule = B3/S23
7bobo$6bo$7bo2bo$9b3o7$bo$3o2$3o9b2o$b2ob2o7b2o$3bo9bo!

It stabilizes in 71,093 generations, which is longer than any other (known) pattern in a 16x16 bounding box.
These days, long lived methuselahs aren't as useful as they once were, so I'm putting it here.

I've taken the liberty of moving this to "unsure discoveries", since I think it's too interesting and potentially record-breaking to be a proper Useless Discovery.

[Scorbie]

I was messing with a switch engine pair that shoots backwards gliders when I put a R pentomino behind it:

Code: Select all

x = 15, y = 16, rule = B3/S23
7bobo$6bo$7bo2bo$9b3o7$bo$3o2$3o9b2o$b2ob2o7b2o$3bo9bo!

It stabilizes in 71,093 generations, which is longer than any other (known) pattern in a 16x16 bounding box.
These days, long lived methuselahs aren't as useful as they once were, so I'm putting it here.

Just to let you know your post spawned an interest and a dedicated search in this direction :)

[dani]

Obvious 2-step predecessor (71095M) that fits in a 14x16 bounding box:

Code: Select all

x = 14, y = 16, rule = B3/S23
5b4o$9bo$9bo$10b2o6$o$o$o$b2o$b3o7b3o$b2o7bo$10bo!

Here is a similar 16x15 pattern that lasts 305230 generations:

Code: Select all

x = 16, y = 15, rule = B3/S23
5b4o$9bo$9bo$10b2o4$13b3o$15bo$o13b2o$o12bo$o$b2o$b3o$b2o!

A bipond is formed. I wonder if one of these can get over a million generations, or even have multiple contact sites by having gliders be absorbed chaotically rather than destroying the engine.

I may run a randomized search.

EDIT: Running a few searches. Close second, 303421M 16x16, produces an LWSS:

Code: Select all

x = 16, y = 16, rule = B3/S23
5b4o$9bo$9bo$10b2o5$8bob2o$o8b3o$o8bo5bo$o8b4ob2o$b2o6b4o2bo$b3o4bo2bo
b3o$b2o5bobo2bobo$8b3obobo!

EDIT2: 4764364M, produces a few LWSSes and ends with a block+G->HF in the top left ash cloud:

Code: Select all

x = 16, y = 16, rule = B3/S23
5b4o$9bo$9bo$10b2o5$11bo$o9b2o$o10bo2bo$o10b4o$b2o5bo4b3o$b3o5bob2o2bo
$b2o7bobo2bo$9bobobo!

I will work on other things now.

[dvgrn]

EDIT2: 4764364M, produces a few LWSSes and ends with a block+G->HF in the top left ash cloud:

Code: Select all

x = 16, y = 16, rule = B3/S23
5b4o$9bo$9bo$10b2o5$11bo$o9b2o$o10bo2bo$o10b4o$b2o5bo4b3o$b3o5bob2o2bo
$b2o7bobo2bo$9bobobo!

Nice one! Whether or not it's judged to be a true methuselah, it's definitely a record-breaker of some kind, being both smaller and longer-lasting than Paul Callahan's 1.3M pattern (which uses the same pair of switch engines and backfiring mechanism.)

The pattern manages to delay its "going boring" moment for an impressively long time. The glider that does the final non-boring block+G->HF crash comes from a SE-traveling glider hitting the bottom right ash cloud around T=3913500 ... and that glider is a super-lucky glider that results from a second glider traveling up the empty switch-engine-killing corridor and reaching the upper left ash cloud at T=3062640. That explosion sends two gliders southeastwards, but they both crash into a glider coming up northwestwards. The crash releases a single glider.

The actual source of novelty is the stream of gliders interacting with ash in the southeast, but that goes boring by drilling through the ash at almost exactly the same time, T=3084227. Those last-chance back-and-forth gliders make the lifespan of the methuselah over half again as long as it would have been otherwise.

[HotWheels9232]

Obvious 2-step predecessor (71095M) that fits in a 14x16 bounding box:

Code: Select all

x = 14, y = 16, rule = B3/S23
5b4o$9bo$9bo$10b2o6$o$o$o$b2o$b3o7b3o$b2o7bo$10bo!

Here is a similar 16x15 pattern that lasts 305230 generations:

Code: Select all

x = 16, y = 15, rule = B3/S23
5b4o$9bo$9bo$10b2o4$13b3o$15bo$o13b2o$o12bo$o$b2o$b3o$b2o!

A bipond is formed. I wonder if one of these can get over a million generations, or even have multiple contact sites by having gliders be absorbed chaotically rather than destroying the engine.

I may run a randomized search.


EDIT: Running a few searches. Close second, 303421M 16x16, produces an LWSS:

Code: Select all

x = 16, y = 16, rule = B3/S23
5b4o$9bo$9bo$10b2o5$8bob2o$o8b3o$o8bo5bo$o8b4ob2o$b2o6b4o2bo$b3o4bo2bo
b3o$b2o5bobo2bobo$8b3obobo!

EDIT2: 4764364M, produces a few LWSSes and ends with a block+G->HF in the top left ash cloud:

Code: Select all

x = 16, y = 16, rule = B3/S23
5b4o$9bo$9bo$10b2o5$11bo$o9b2o$o10bo2bo$o10b4o$b2o5bo4b3o$b3o5bob2o2bo
$b2o7bobo2bo$9bobobo!

I will work on other things now.

Was just playing around, at least got to participate

Code: Select all

x = 20, y = 15, rule = B3/S23
5b4o$9bo$9bo$10b2o6$o16bo$o16b2o$o17b2o$b2o$b3o$b2o!

This one is interesting because it first produces a glider in the hall of death but it ends up turning a block into a beehive.

[dvgrn]

This one is interesting because it first produces a glider in the hall of death but it ends up turning a block into a beehive.

And then a second glider manages to get past that blocking beehive in the Hall of Death and shoots down the switch engines after all -- the glider stream never _quite_ manages to drill through the ash. It goes boring early, given all the excitement -- T = 52404.

[HotWheels9232]

This one is interesting because it first produces a glider in the hall of death but it ends up turning a block into a beehive.

And then a second glider manages to get past that blocking beehive in the Hall of Death and shoots down the switch engines after all -- the glider stream never _quite_ manages to drill through the ash. It goes boring early, given all the excitement -- T = 52404.

I don't quite agree. It isn't like crystal crashing into ash making explosions making more crystals until it makes a glider in the Hall of Doom.
Edit 1:Lasts slightly shorter than that methuselah:

Code: Select all

x = 20, y = 15, rule = B3/S23
5b4o$9bo$9bo$10b2o3$19bo$18bo$19bo$o17bo$o16b2o$o15bo2bo$b2o14bobo$b3o
15bo$b2o!

[Stepan Babintsev]

Is it known?

Code: Select all

x = 40, y = 5, rule = B3/S23
21bo2bo5bo2bo$2b2o7b2o12bo8bo$2ob2o4b2ob2o7bo3bo4bo3bo4bo$4o5b4o9b4o5b
4o4bo$b2o7b2o27bo!

I created a p120 gun with this reaction, but I think it's useless

Code: Select all

x = 593, y = 190, rule = B3/S23
140b2o309b2o$140b2o309b2o3$137b2o315b2o$137b2o8b2o295b2o8b2o$147bo297b
o$140b2o6bo295bo6b2o$140b2o5b2o295b2o5b2o2$147b2o$146bobo$129b3o15bo$
130bo$130b3o4$452b3o$452bo$453bo2$457b2o$454b3obo$129b2o323bo2b2o3b2o$
129b2o324b3o4b2o$456bo$132b2o325b2o15bo$132b2o325b2o16bo$475b3o2$129b
2o331b2o$129b2o331b2o5$106bobo$106b2o$107bo15$107b2o375b2o$107b2o375b
2o2$506bo$104b2o381b2o18bo$104b2o8b2o361b2o8b2o16b3o$114bo363bo$107b2o
6bo361bo6b2o$107b2o5b2o361b2o5b2o2$114b2o$113bobo$96b3o15bo$76bobo18bo
$76b2o19b3o$77bo3$485b3o$485bo$486bo2$490b2o$487b3obo$96b2o389bo2b2o3b
2o$96b2o390b3o4b2o$489bo$99b2o391b2o15bo$99b2o391b2o16bo$508b3o2$96b2o
397b2o$96b2o397b2o$536bo$537bo$535b3o2$73bobo$73b2o$74bo227bo2bo5bo2bo
47bo2bo5bo2bo47bo2bo5bo2bo47bo2bo5bo2bo$59b2o58b2o7b2o49b2o7b2o49b2o7b
2o51bo8bo50bo8bo50bo8bo50bo8bo$57b2ob2o55b2ob2o4b2ob2o46b2ob2o4b2ob2o
46b2ob2o4b2ob2o45bo4bo3bo4bo3bo46bo3bo4bo3bo46bo3bo4bo3bo46bo3bo4bo3bo
$57b4o10bo3b2o40b4o5b4o47b4o5b4o47b4o5b4o46bo4b4o5b4o47b4o5b4o47b4o5b
4o47b4o5b4o$33b2o23b2o11b2o2bobo40b2o7b2o49b2o7b2o49b2o7b2o47bo261b2o$
33b2o35bobo2bo482b2o$534bo$534b2o8b3o$30b2o270bobo228bobo8bo16b2o$30b
2o271b2o240bo15b2o$98b2o203bo189b2o70bo$33b2o63b2o393b2o63b2o4b3o$33b
2o472bo50b2o3b2o2bo$507b2o20b3o31bob3o$101b2o387b2o14bobo20bo33b2o$
101b2o387b2o38bo$486b3o79bo$98b2o386bo2bo3b2o74bo$98b2o385bo3bo3b2o72b
3o$485b3o2bo$486b4o2$31b3o$33bo449bobo$16bo15b3o448b2o$15bobo466bo$15b
2o$78b2o20bo$15b2o5b2o54bobo18b2o468b2o5b2o$15bo6b2o54bo22bo467b2o6bo$
16bo81b3o15bo459bo$15b2o8b2o72bo15bobo448b2o8b2o$25b2o89b2o448b2o$41bo
$41b2o66b2o5b2o357b2o5b2o$22b2o16bobo66b2o6bo357bo6b2o85b2o$22b2o92bo
359bo27bo64b2o$106b2o8b2o357b2o8b2o17b2o$106b2o377b2o16bobo2$18b2o553b
2o$18b2o89b2o371b2o89b2o$109b2o371b2o$559b3o$15b2o542bo16b2o$15b2o543b
o15b2o$580bo$18b2o553b2o4b3o$18b2o553b2o3b2o2bo$578bob3o$578b2o2$583bo
$584bo$582b3o3$108b2o$16b3o89bobo$18bo89bo$bo15b3o$obo$2o2$2o5b2o122b
2o327b2o122b2o5b2o$o6b2o122b2o327b2o122b2o6bo$bo472bo116bo$2o8b2o462b
2o105b2o8b2o$10b2o122b2o321b2o14bobo105b2o$134b2o321b2o$453b3o$7b2o
122b2o320bo2bo3b2o122b2o$7b2o122b2o319bo3bo3b2o122b2o$452b3o2bo$453b4o
3$450bobo$450b2o$451bo2$133bo$132b2o$134bo$131b3o15bo$132bo15bobo$149b
2o2$142b2o5b2o291b2o5b2o$142b2o6bo291bo6b2o$149bo293bo$139b2o8b2o291b
2o8b2o$139b2o311b2o3$142b2o305b2o$142b2o305b2o!

It is big and you can do it smaller, but for me it's OK
Stupid way to create LWSS:

Code: Select all

x = 51, y = 20, rule = B3/S23
bo2bo5bo2bo$5bo8bo$bo3bo4bo3bo4bo$2b4o5b4o4bo$19bo11$b2o7b2o20bo$4o5b
4o3b3o13bo4b4o5b4o$2ob2o4b2ob2o18bo4bo3bo4bo3bo$2b2o7b2o24bo8bo$38bo2b
o5bo2bo!

[confocaloid]

Is it known?

Code: Select all

x = 40, y = 5, rule = B3/S23
21bo2bo5bo2bo$2b2o7b2o12bo8bo$2ob2o4b2ob2o7bo3bo4bo3bo4bo$4o5b4o9b4o5b
4o4bo$b2o7b2o27bo!

Somebody might have discovered that before, but I at least didn't know about it.

It's an odd-only 2LWSS->glider converter (the glider changes phase after each use). It would be a bit tricky to use it in a larger pattern with recirculating signals, partly because of the rephasing behavior, and partly because it's a bit awkward to build those pairs of input LWSSes.

I created a p120 gun with this reaction, but I think it's useless

Code: Select all

...

It is big and you can do it smaller, but for me it's OK

Here is a period-117 version, with G-to-LWSS converter and four period-117 glider guns:

Code: Select all

x = 311, y = 131, rule = B3/S23
110b2o$110bobo51bob2o4b2obo10b2o7bo$112bo4b2o45b2o2bo2bo2b2o10b2o5b3o$
108b4ob2o2bo2bo41b2o3bo4bo3b2o14bo8bo$108bo2bobobobob2o40bo3b2ob4ob2o
3bo13b2o5b3o$111bobobobo44b3obo6bob3o20bo$112b2obobo46bobobo2bobobo7bo
14b2o$116bo48b2o6b2o8bo$167b6o10bo$102b2o82bobo$32b2o11bo57bo7b2o66b3o
3bo3bo$32b2o10bobo56bobo5b2o17bo55bo3bo$44bobo2b2o3bo49b2o22b3o52bo3bo
bo$43b2ob2o2bo2bobo12bo58bo55bo$47bobo3bobo10b3o16bo41b2o54bo12b2o$43b
2obo2b4obo10bo18bobo31bobo45b2o28b2o$43b2obobo3bo12b2o17bobo32b2o45b2o
12bo$47bobo3bo28b3ob2o31bo15b2o43bo$48bobo3bo26bo54bo37bobo3bo$35bo13b
o3b2o27b3ob2o26b2o20bob2o33bo3bo$34b3o26bo10b2o8bob2o26bo13b2o4b3o2bo
34bo3bo3b3o$33b2ob2o24b3o10bo39b3o10b2o3bo3b2o36bobo$32b2o31bo9bobo39b
o15b4o43bo10b6o$31b3o27b3ob2o9b2o39bob2o15bo43bo8b2o6b2o$32b2o26bo3b2o
49b2obobo12b3o44bo7bobobo2bobobo$25b2o6b2ob2o23bo53bo2bo13bo53b3obo6bo
b3o$24bo2bo6b3o24bobo53b2o14b5o32b2o13bo3b2ob4ob2o3bo$23bob2o8bo53b3o
45bo22bobo8bo14b2o3bo4bo3b2o$23bo111bo24b2o6b3o5b2o10b2o2bo2bo2b2o$22b
2o65b2o44b2o24bo6bo7b2o10bob2o4b2obo$37b2o26b2o$37bo26bo2bo25bo$38b3o
23b3o26bo$40bo11b2o11b2o24bo$3bo49bo35bobobob3o$2bobo45b3o4bo35bo13bo$
2bobo45bo6b3o45b3o$2o2b2o54bo29b2o12bo$bobo2bo52b2o29b2o12b2o$o2b5o6b
2o75bo$obo4bo6b2o69b2o$bob2o2b2o18b2o22b2o33bo4b2o$3bo3b2o18bo23bo31b
3o5b2o$3bo3b2o16bobo20b2obo31bo17b3o3bo$bob2o2b2o7bobo6b2o21bo2b3o7b3o
36bo3bo2bobo$obo4bo7bo2bo30b2o3bo6bo2bo35b2ob2o2b2o$o2b5o7bo3bo31b4o6b
2obo243b3o$bobo2bo7b2ob2o32bo11bo3b2o$2o2b2o11b2o33b3o12bobo$2bobo4bo
17b2o26bo13bo29b2o5bo$2bobo3b3o16b2o21b5o14b2o27b3o2bo2bo$3bo4bobo39bo
46b2obo2bo2bo$17b2o33bo35b2o8bob2o3bo$20bo30b2o36bo8bo2b3o10b2o$7bobob
o5b6o66bobo10bo12bo$6b6o5bobobo57bo10b2o8b2o7b2ob3o$8bo68b3o29b2obo$
10b2o64bo$18bobo4bo50b2o$2o16b3o3bobo34b2o106bo7b2o10bob2o4b2obo$2o17b
o4bobo35bo67bo31b2o5b3o5b2o10b2o2bo2bo2b2o$10b2o11b2o2b2o33bob2o42bo
21b2o30bobo7bo14b2o3bo4bo3b2o$10b2ob2o7bo2bobo35bo2bo39bobo20bobo30bo
8b2o13bo3b2ob4ob2o3bo$9bo3bo7b5o2bo35b2o39bo3bob2o74b3obobo2bobob3o$
10bo2bo7bo4bobo76bo2bo2b2o76bobobo2bobobo$2b2o6bobo7b2o2b2obo77b3o72b
3o9bo4bo$bobo16b2o3bo51b2o27bo86bo2bo$bo18b2o3bo50bo101bo5bo8bo2bo$2o
18b2o2b2obo49bob4o92bo2bo5bo$13b2o6bo4bobo49b3obo5bo3b2o81bo2bo5bo$13b
2o6b5o2bo58bobo3bo81bo$4b2o16bo2bobo58bobo3bo11b2o74b3o$3bobo17b2o2b2o
53b2obobo3bo12bo62b2o$3bo20bobo55b2obo2b4obo11b3o59b2o28b2o$2b2o20bobo
59bobo3bobo12bo89b2o$25bo56b2ob2o2bo2bobo88b3o$83bobo2b2o3bo96bo$71b2o
10bobo95bo5bo2bo$71b2o11bo96bo5bo2bo$169bo2bo8bo5bo$169bo2bo$168bo4bo
9b3o$165bobobo2bobobo22b2o$163b3obobo2bobob3o20bo$162bo3b2ob4ob2o3bo
13b2o5b3o$163b2o3bo4bo3b2o14bo8bo$165b2o2bo2bo2b2o10b2o5b3o$165bob2o4b
2obo10b2o7bo2$79bo$78bobo19b3o$78bobo21bo$76b2o2b2o19bo$77bobo3bo$76bo
2b3obo6b2o$76bobo11b2o$77bob2obo20b2o$79bo2bo2bo17bo$79bo2bo2bo15bobo$
77bob2obo18b2o$76bobo$76bo2b3obo$77bobo3bo9b3o$76b2o2b2o$78bobo22b2o$
78bobo22b2o$79bo15bo$94bobo$93bo3bo$85bo8bobo$84bobo8bo$83bo3bo$84bobo
$85bo15bo$76b2o22bobo$76b2o22bobo$99b2o2b2o$85b3o9bo3bobo$97bob3o2bo$
102bobo$78b2o18bob2obo$77bobo15bo2bo2bo$77bo17bo2bo2bo$76b2o20bob2obo$
89b2o11bobo$89b2o6bob3o2bo$80b2o15bo3bobo$79bobo17b2o2b2o$79bo20bobo$
78b2o20bobo$101bo!

Edit: made it smaller; in the next pattern five streams of gliders move and clean the output of a block puffer:

Code: Select all

x = 777, y = 498, rule = B3/S23
110b2o$110bobo$112bo4b2o$108b4ob2o2bo2bo$108bo2bobobobob2o$111bobobobo
$112b2obobo$116bo2$102b2o$32b2o11bo57bo7b2o$32b2o10bobo56bobo5b2o17bo$
44bobo2b2o3bo49b2o22b3o42bob2o4b2obo10b2o7bo$43b2ob2o2bo2bobo12bo58bo
45b2o2bo2bo2b2o10b2o5b3o$35bo11bobo3bobo10b3o16bo41b2o42b2o3bo4bo3b2o
14bo8bo$33b2obo6b2obo2b4obo10bo18bobo83bo3b2ob4ob2o3bo13b2o5b3o$33b2o
8b2obobo3bo12b2o17bobo84b3obobo2bobob3o3b2o15bo$37b2o8bobo3bo28b3ob2o
34bo12b2o36bobob4obobo7b2o13b2o$33b2o2b2o9bobo3bo7b2o17bo41bo12bo38bo
2b2o2bo6b2o$33b4o12bo3b2o7b2o18b3ob2o26b2o5b3o12bob2o36b2o2b2o7b2o3bo$
33bo4bo24bo10b2o8bob2o26bo13b2o4b3o2bo50bo$33b2ob3o36bo39b3o10b2o3bo3b
2o50bobo3bo$29bo3bo2bo26b3o9bobo39bo15b4o51b2obobob2o$29b2o2b2o41b2o
39bob2o15bo50bo5bo3bo$29bo4bo80b2obobo12b3o51bob2o3b3o$25b2o88bo2bo13b
o55bo6bo9b2o$24bo2bo89b2o14b5o37b2o28b2o$23bob2o37bo72bo37b2o9bo6bo$
23bo38b2o71bo49b3o3b2obo$22b2o111b2o47bo3bo5bo$37b2o30bo115b2obobob2o$
37bo31b2o115bo3bobo$38b3o27bob2o21b2o96bo$40bo11b2o14bobo23b2o91bo3b2o
7b2o2b2o$3bo49bo14b2o23bo97b2o6bo2b2o2bo$2bobo45b3o4bo49bo80b2o7bobob
4obobo$2bobo45bo6b3o45b3o82b2o3b3obobo2bobob3o$2o2b2o54bo43bo74b2o13bo
3b2ob4ob2o3bo$bobo55bo45bo74bo14b2o3bo4bo3b2o$o2b2obo7b2o43bo3bo38bo2b
o71b3o5b2o10b2o2bo2bo2b2o$obo3bo7b2o69b2o15bo74bo7b2o10bob2o4b2obo$bob
3o21b2o22b2o7bo4bo20bo4b2o8bo2bo$3bo2b2o19bo23bo8b3o2bo17b3o5b2o9bobo$
3bo2b2o17bobo20b2obo6b2o23bo13bo5bo3bo2bo173b2o7b2o$bob3o8bo10b2o21bo
2b3o2bo2bo3b2o32bo13bo56b2o7b2o46b4o5b4o45b4o5b4o$obo3bo6bo2bo3b3o26b
2o3b3obo2bo2bo32b3o7bo3bo54b2ob2o4b2ob2o44bo3bo4bo3bo45b2ob2o4b2ob2o$o
2b2obo6bo3bobo2bo28b6o2bobo2bo34bo8b4o54b4o5b4o49bo8bo47b2o7b2o12b3o$b
obo13b2o2b2o28bo6b2ob3o3b2o98b2o7b2o46bo2bo5bo2bo$2o2b2o9b2o2b2o31b3o
5b4o3bobo$2bobo4bo3bobo11b2o26bo4bobo6bo$2bobo3bo2b4o12b2o21b5o6b3o5b
2o51bob2o4b2obo10b2o7bo26bo7b2o10bob2o4b2obo$3bo5b3o38bo10b2o59b2o2bo
2bo2b2o10b2o5b3o26b3o5b2o10b2o2bo2bo2b2o$9b3o40bo35b2o30b2o3bo4bo3b2o
14bo32bo14b2o3bo4bo3b2o$7bo13bo29b2o36bo24b2o3bo3b2ob4ob2o3bo13b2o30b
2o13bo3b2ob4ob2o3bo$6bobo11bobo66bobo23bo4b3obobo2bobob3o62b3obobo2bob
ob3o$6bobo11bobo56bo10b2o17b2ob3o7bo3bo2bo3bo6b2o50b2o6bobobo2bobobo$
7bo13bo55b3o29b2obo11b2ob2ob2o9bo49bo11bo4bo$17b3o56bo50b2o11b2o50bobo
9b4o$17b3o5bo50b2o61b2o3b2o42b4o3bo$2o12b4o2bo3bobo34b2o74bob3ob2obo
40bob4o3b2o$2o11bobo3bo4bobo35bo72b2ob2obo5bo38b7o5bo$8b2o2b2o9b2o2b2o
33bob2o69b2obo5bo2bo37b3o5bo$6b2o2b2o13bobo35bo2bo69bob2o7bo38bob3o3b
2o$6bo2bobo3bo6bob2o2bo35b2o14bo30b2o22b2obo3b2ob2o7b2o22b2o7b2ob2o3bo
bobo$6b3o3bo2bo6bo3bobo51b2o29b2o11b2o8b2o2bo2bo2b2o8b2o22b2o7bo4bo2bo
4bo7b2o$2b2o10bo8b3obo51bo2bo41b2o7b2ob2o3bob2o43bobobo3b2ob2o7b2o$bob
o17b2o2bo54b2o50bo7b2obo48b2o3b3obo130bo$bo19b2o2bo50b2o54bo2bo5bob2o
49bo5b3o130bo$2o21b3obo48b2o54bo5bob2ob2o44bo5b7o129b3o$13b2o7bo3bobo
59bo3b2o39bob2ob3obo47b2o3b4obo$13b2o7bob2o2bo58bobo3bo40b2o3b2o51bo3b
4o$4b2o19bobo58bobo3bo11b2o32b2o11b2o27b4o9bobo$3bobo17b2o2b2o53b2obob
o3bo12bo33bo9b2ob2ob2o23bo4bo11bo$3bo20bobo55b2obo2b4obo11b3o14b2o14b
2o6bo3bo2bo3bo18bobobo2bobobo6b2o14b2o$2b2o20bobo59bobo3bobo12bo15bo
20b3obobo2bobob3o14b3obobo2bobob3o20bo$25bo56b2ob2o2bo2bobo25b3o5b2o
13bo3b2ob4ob2o3bo12bo3b2ob4ob2o3bo13b2o5b3o$83bobo2b2o3bo26bo8bo14b2o
3bo4bo3b2o14b2o3bo4bo3b2o14bo8bo$71b2o10bobo40b3o5b2o10b2o2bo2bo2b2o
18b2o2bo2bo2b2o10b2o5b3o$71b2o11bo41bo7b2o10bob2o4b2obo18bob2o4b2obo
10b2o7bo18$196b2o162bobo$196bobo162b2o$198bo4b2o156bo$194b4ob2o2bo2bo$
194bo2bobobobob2o$197bobobobo$198b2obobo$202bo2$188b2o$118b2o11bo57bo
7b2o$118b2o10bobo56bobo5b2o17bo$130bobo2b2o3bo49b2o22b3o42bob2o4b2obo
10b2o7bo$129b2ob2o2bo2bobo12bo58bo45b2o2bo2bo2b2o10b2o5b3o$121bo11bobo
3bobo10b3o16bo41b2o42b2o3bo4bo3b2o14bo8bo$119b2obo6b2obo2b4obo10bo18bo
bo83bo3b2ob4ob2o3bo13b2o5b3o$119b2o8b2obobo3bo12b2o17bobo84b3obobo2bob
ob3o3b2o15bo$123b2o8bobo3bo28b3ob2o34bo12b2o36bobob4obobo7b2o13b2o$
119b2o2b2o9bobo3bo7b2o17bo41bo12bo38bo2b2o2bo6b2o$119b4o12bo3b2o7b2o
18b3ob2o26b2o5b3o12bob2o36b2o2b2o7b2o3bo$119bo4bo24bo10b2o8bob2o26bo
13b2o4b3o2bo50bo$119b2ob3o36bo39b3o10b2o3bo3b2o50bobo3bo$115bo3bo2bo
26b3o9bobo39bo15b4o51b2obobob2o$115b2o2b2o41b2o39bob2o15bo50bo5bo3bo$
115bo4bo80b2obobo12b3o51bob2o3b3o$111b2o88bo2bo13bo55bo6bo9b2o$110bo2b
o89b2o14b5o37b2o28b2o$109bob2o37bo72bo37b2o9bo6bo$109bo38b2o71bo49b3o
3b2obo$108b2o111b2o47bo3bo5bo110bo$123b2o30bo115b2obobob2o109bobo$123b
o31b2o115bo3bobo111b2o$124b3o27bob2o21b2o96bo$126bo11b2o14bobo23b2o91b
o3b2o7b2o2b2o$89bo49bo14b2o23bo97b2o6bo2b2o2bo$88bobo45b3o4bo49bo80b2o
7bobob4obobo$88bobo45bo6b3o45b3o82b2o3b3obobo2bobob3o$86b2o2b2o54bo43b
o74b2o13bo3b2ob4ob2o3bo$87bobo55bo45bo74bo14b2o3bo4bo3b2o$86bo2b2obo7b
2o43bo3bo38bo2bo71b3o5b2o10b2o2bo2bo2b2o$86bobo3bo7b2o69b2o15bo74bo7b
2o10bob2o4b2obo$87bob3o21b2o22b2o7bo4bo20bo4b2o8bo2bo$89bo2b2o19bo23bo
8b3o2bo17b3o5b2o9bobo$89bo2b2o17bobo20b2obo6b2o23bo13bo5bo3bo2bo173b2o
7b2o$87bob3o8bo10b2o21bo2b3o2bo2bo3b2o32bo13bo56b2o7b2o46b4o5b4o45b4o
5b4o$86bobo3bo6bo2bo3b3o26b2o3b3obo2bo2bo32b3o7bo3bo54b2ob2o4b2ob2o44b
o3bo4bo3bo45b2ob2o4b2ob2o$86bo2b2obo6bo3bobo2bo28b6o2bobo2bo34bo8b4o
54b4o5b4o49bo8bo47b2o7b2o12b3o$87bobo13b2o2b2o28bo6b2ob3o3b2o98b2o7b2o
46bo2bo5bo2bo$86b2o2b2o9b2o2b2o31b3o5b4o3bobo$88bobo4bo3bobo11b2o26bo
4bobo6bo$88bobo3bo2b4o12b2o21b5o6b3o5b2o51bob2o4b2obo10b2o7bo26bo7b2o
10bob2o4b2obo$89bo5b3o38bo10b2o59b2o2bo2bo2b2o10b2o5b3o26b3o5b2o10b2o
2bo2bo2b2o$95b3o40bo35b2o30b2o3bo4bo3b2o14bo32bo14b2o3bo4bo3b2o$93bo
13bo29b2o36bo24b2o3bo3b2ob4ob2o3bo13b2o30b2o13bo3b2ob4ob2o3bo$92bobo
11bobo66bobo23bo4b3obobo2bobob3o62b3obobo2bobob3o$92bobo11bobo56bo10b
2o17b2ob3o7bo3bo2bo3bo6b2o50b2o6bobobo2bobobo$93bo13bo55b3o29b2obo11b
2ob2ob2o9bo49bo11bo4bo$103b3o56bo50b2o11b2o50bobo9b4o$103b3o5bo50b2o
61b2o3b2o42b4o3bo137bo$86b2o12b4o2bo3bobo34b2o74bob3ob2obo40bob4o3b2o
136b2o$86b2o11bobo3bo4bobo35bo72b2ob2obo5bo38b7o5bo134b2o$94b2o2b2o9b
2o2b2o33bob2o69b2obo5bo2bo37b3o5bo$92b2o2b2o13bobo35bo2bo69bob2o7bo38b
ob3o3b2o$92bo2bobo3bo6bob2o2bo35b2o14bo30b2o22b2obo3b2ob2o7b2o22b2o7b
2ob2o3bobobo$92b3o3bo2bo6bo3bobo51b2o29b2o11b2o8b2o2bo2bo2b2o8b2o22b2o
7bo4bo2bo4bo7b2o$88b2o10bo8b3obo51bo2bo41b2o7b2ob2o3bob2o43bobobo3b2ob
2o7b2o$87bobo17b2o2bo54b2o50bo7b2obo48b2o3b3obo130bo$87bo19b2o2bo50b2o
54bo2bo5bob2o49bo5b3o130bo$86b2o21b3obo48b2o54bo5bob2ob2o44bo5b7o129b
3o$99b2o7bo3bobo59bo3b2o39bob2ob3obo47b2o3b4obo$99b2o7bob2o2bo58bobo3b
o40b2o3b2o51bo3b4o$90b2o19bobo58bobo3bo11b2o32b2o11b2o27b4o9bobo$89bob
o17b2o2b2o53b2obobo3bo12bo33bo9b2ob2ob2o23bo4bo11bo$89bo20bobo55b2obo
2b4obo11b3o14b2o14b2o6bo3bo2bo3bo18bobobo2bobobo6b2o14b2o$88b2o20bobo
59bobo3bobo12bo15bo20b3obobo2bobob3o14b3obobo2bobob3o20bo$111bo56b2ob
2o2bo2bobo25b3o5b2o13bo3b2ob4ob2o3bo12bo3b2ob4ob2o3bo13b2o5b3o$169bobo
2b2o3bo26bo8bo14b2o3bo4bo3b2o14b2o3bo4bo3b2o14bo8bo$157b2o10bobo40b3o
5b2o10b2o2bo2bo2b2o18b2o2bo2bo2b2o10b2o5b3o$157b2o11bo41bo7b2o10bob2o
4b2obo18bob2o4b2obo10b2o7bo9$449bo$450bo$448b3o7$282b2o162bobo$282bobo
162b2o$284bo4b2o156bo$280b4ob2o2bo2bo$280bo2bobobobob2o$283bobobobo$
284b2obobo$288bo2$274b2o$204b2o11bo57bo7b2o$204b2o10bobo56bobo5b2o17bo
$216bobo2b2o3bo49b2o22b3o42bob2o4b2obo10b2o7bo$215b2ob2o2bo2bobo12bo
58bo45b2o2bo2bo2b2o10b2o5b3o$207bo11bobo3bobo10b3o16bo41b2o42b2o3bo4bo
3b2o14bo8bo$205b2obo6b2obo2b4obo10bo18bobo83bo3b2ob4ob2o3bo13b2o5b3o$
205b2o8b2obobo3bo12b2o17bobo84b3obobo2bobob3o3b2o15bo$209b2o8bobo3bo
28b3ob2o34bo12b2o36bobob4obobo7b2o13b2o$205b2o2b2o9bobo3bo7b2o17bo41bo
12bo38bo2b2o2bo6b2o$205b4o12bo3b2o7b2o18b3ob2o26b2o5b3o12bob2o36b2o2b
2o7b2o3bo$205bo4bo24bo10b2o8bob2o26bo13b2o4b3o2bo50bo$205b2ob3o36bo39b
3o10b2o3bo3b2o50bobo3bo109bobo$201bo3bo2bo26b3o9bobo39bo15b4o51b2obobo
b2o109b2o$201b2o2b2o41b2o39bob2o15bo50bo5bo3bo108bo$201bo4bo80b2obobo
12b3o51bob2o3b3o$197b2o88bo2bo13bo55bo6bo9b2o$196bo2bo89b2o14b5o37b2o
28b2o$195bob2o37bo72bo37b2o9bo6bo$195bo38b2o71bo49b3o3b2obo$194b2o111b
2o47bo3bo5bo110bo$209b2o30bo115b2obobob2o109bobo$209bo31b2o115bo3bobo
111b2o$210b3o27bob2o21b2o96bo$212bo11b2o14bobo23b2o91bo3b2o7b2o2b2o$
175bo49bo14b2o23bo97b2o6bo2b2o2bo$174bobo45b3o4bo49bo80b2o7bobob4obobo
$174bobo45bo6b3o45b3o82b2o3b3obobo2bobob3o$172b2o2b2o54bo43bo74b2o13bo
3b2ob4ob2o3bo$173bobo55bo45bo74bo14b2o3bo4bo3b2o$172bo2b2obo7b2o43bo3b
o38bo2bo71b3o5b2o10b2o2bo2bo2b2o$172bobo3bo7b2o69b2o15bo74bo7b2o10bob
2o4b2obo$173bob3o21b2o22b2o7bo4bo20bo4b2o8bo2bo$175bo2b2o19bo23bo8b3o
2bo17b3o5b2o9bobo$175bo2b2o17bobo20b2obo6b2o23bo13bo5bo3bo2bo173b2o7b
2o$173bob3o8bo10b2o21bo2b3o2bo2bo3b2o32bo13bo56b2o7b2o46b4o5b4o45b4o5b
4o$172bobo3bo6bo2bo3b3o26b2o3b3obo2bo2bo32b3o7bo3bo54b2ob2o4b2ob2o44bo
3bo4bo3bo45b2ob2o4b2ob2o$172bo2b2obo6bo3bobo2bo28b6o2bobo2bo34bo8b4o
54b4o5b4o49bo8bo47b2o7b2o12b3o$173bobo13b2o2b2o28bo6b2ob3o3b2o98b2o7b
2o46bo2bo5bo2bo$172b2o2b2o9b2o2b2o31b3o5b4o3bobo$174bobo4bo3bobo11b2o
26bo4bobo6bo$174bobo3bo2b4o12b2o21b5o6b3o5b2o51bob2o4b2obo10b2o7bo26bo
7b2o10bob2o4b2obo124bo$175bo5b3o38bo10b2o59b2o2bo2bo2b2o10b2o5b3o26b3o
5b2o10b2o2bo2bo2b2o122bobo$181b3o40bo35b2o30b2o3bo4bo3b2o14bo32bo14b2o
3bo4bo3b2o121b2o$179bo13bo29b2o36bo24b2o3bo3b2ob4ob2o3bo13b2o30b2o13bo
3b2ob4ob2o3bo$178bobo11bobo66bobo23bo4b3obobo2bobob3o62b3obobo2bobob3o
$178bobo11bobo56bo10b2o17b2ob3o7bo3bo2bo3bo6b2o50b2o6bobobo2bobobo$
179bo13bo55b3o29b2obo11b2ob2ob2o9bo49bo11bo4bo$189b3o56bo50b2o11b2o50b
obo9b4o$189b3o5bo50b2o61b2o3b2o42b4o3bo137bo$172b2o12b4o2bo3bobo34b2o
74bob3ob2obo40bob4o3b2o136b2o$172b2o11bobo3bo4bobo35bo72b2ob2obo5bo38b
7o5bo134b2o$180b2o2b2o9b2o2b2o33bob2o69b2obo5bo2bo37b3o5bo$178b2o2b2o
13bobo35bo2bo69bob2o7bo38bob3o3b2o$178bo2bobo3bo6bob2o2bo35b2o14bo30b
2o22b2obo3b2ob2o7b2o22b2o7b2ob2o3bobobo$178b3o3bo2bo6bo3bobo51b2o29b2o
11b2o8b2o2bo2bo2b2o8b2o22b2o7bo4bo2bo4bo7b2o$174b2o10bo8b3obo51bo2bo
41b2o7b2ob2o3bob2o43bobobo3b2ob2o7b2o$173bobo17b2o2bo54b2o50bo7b2obo
48b2o3b3obo130bo$173bo19b2o2bo50b2o54bo2bo5bob2o49bo5b3o130bo$172b2o
21b3obo48b2o54bo5bob2ob2o44bo5b7o129b3o$185b2o7bo3bobo59bo3b2o39bob2ob
3obo47b2o3b4obo$185b2o7bob2o2bo58bobo3bo40b2o3b2o51bo3b4o$176b2o19bobo
58bobo3bo11b2o32b2o11b2o27b4o9bobo$175bobo17b2o2b2o53b2obobo3bo12bo33b
o9b2ob2ob2o23bo4bo11bo$175bo20bobo55b2obo2b4obo11b3o14b2o14b2o6bo3bo2b
o3bo18bobobo2bobobo6b2o14b2o$174b2o20bobo59bobo3bobo12bo15bo20b3obobo
2bobob3o14b3obobo2bobob3o20bo$197bo56b2ob2o2bo2bobo25b3o5b2o13bo3b2ob
4ob2o3bo12bo3b2ob4ob2o3bo13b2o5b3o$255bobo2b2o3bo26bo8bo14b2o3bo4bo3b
2o14b2o3bo4bo3b2o14bo8bo$243b2o10bobo40b3o5b2o10b2o2bo2bo2b2o18b2o2bo
2bo2b2o10b2o5b3o$243b2o11bo41bo7b2o10bob2o4b2obo18bob2o4b2obo10b2o7bo$
536bo$537b2o$536b2o6$535bo$536bo$534b3o7$368b2o162bobo$368bobo162b2o$
370bo4b2o156bo$366b4ob2o2bo2bo$366bo2bobobobob2o$369bobobobo$370b2obob
o$374bo2$360b2o$290b2o11bo57bo7b2o$290b2o10bobo56bobo5b2o17bo$302bobo
2b2o3bo49b2o22b3o42bob2o4b2obo10b2o7bo103bo$301b2ob2o2bo2bobo12bo58bo
45b2o2bo2bo2b2o10b2o5b3o104bo$293bo11bobo3bobo10b3o16bo41b2o42b2o3bo4b
o3b2o14bo8bo96b3o$291b2obo6b2obo2b4obo10bo18bobo83bo3b2ob4ob2o3bo13b2o
5b3o$291b2o8b2obobo3bo12b2o17bobo84b3obobo2bobob3o3b2o15bo$295b2o8bobo
3bo28b3ob2o34bo12b2o36bobob4obobo7b2o13b2o$291b2o2b2o9bobo3bo7b2o17bo
41bo12bo38bo2b2o2bo6b2o$291b4o12bo3b2o7b2o18b3ob2o26b2o5b3o12bob2o36b
2o2b2o7b2o3bo$291bo4bo24bo10b2o8bob2o26bo13b2o4b3o2bo50bo$291b2ob3o36b
o39b3o10b2o3bo3b2o50bobo3bo109bobo$287bo3bo2bo26b3o9bobo39bo15b4o51b2o
bobob2o109b2o$287b2o2b2o41b2o39bob2o15bo50bo5bo3bo108bo$287bo4bo80b2ob
obo12b3o51bob2o3b3o$283b2o88bo2bo13bo55bo6bo9b2o$282bo2bo89b2o14b5o37b
2o28b2o$281bob2o37bo72bo37b2o9bo6bo$281bo38b2o71bo49b3o3b2obo$280b2o
111b2o47bo3bo5bo110bo$295b2o30bo115b2obobob2o109bobo$295bo31b2o115bo3b
obo111b2o$296b3o27bob2o21b2o96bo$298bo11b2o14bobo23b2o91bo3b2o7b2o2b2o
$261bo49bo14b2o23bo97b2o6bo2b2o2bo$260bobo45b3o4bo49bo80b2o7bobob4obob
o$260bobo45bo6b3o45b3o82b2o3b3obobo2bobob3o$258b2o2b2o54bo43bo74b2o13b
o3b2ob4ob2o3bo$259bobo55bo45bo74bo14b2o3bo4bo3b2o$258bo2b2obo7b2o43bo
3bo38bo2bo71b3o5b2o10b2o2bo2bo2b2o$258bobo3bo7b2o69b2o15bo74bo7b2o10bo
b2o4b2obo$259bob3o21b2o22b2o7bo4bo20bo4b2o8bo2bo$261bo2b2o19bo23bo8b3o
2bo17b3o5b2o9bobo231bobo$261bo2b2o17bobo20b2obo6b2o23bo13bo5bo3bo2bo
173b2o7b2o42b2o$259bob3o8bo10b2o21bo2b3o2bo2bo3b2o32bo13bo56b2o7b2o46b
4o5b4o45b4o5b4o41bo$258bobo3bo6bo2bo3b3o26b2o3b3obo2bo2bo32b3o7bo3bo
54b2ob2o4b2ob2o44bo3bo4bo3bo45b2ob2o4b2ob2o$258bo2b2obo6bo3bobo2bo28b
6o2bobo2bo34bo8b4o54b4o5b4o49bo8bo47b2o7b2o12b3o$259bobo13b2o2b2o28bo
6b2ob3o3b2o98b2o7b2o46bo2bo5bo2bo$258b2o2b2o9b2o2b2o31b3o5b4o3bobo$
260bobo4bo3bobo11b2o26bo4bobo6bo$260bobo3bo2b4o12b2o21b5o6b3o5b2o51bob
2o4b2obo10b2o7bo26bo7b2o10bob2o4b2obo124bo$261bo5b3o38bo10b2o59b2o2bo
2bo2b2o10b2o5b3o26b3o5b2o10b2o2bo2bo2b2o122bobo$267b3o40bo35b2o30b2o3b
o4bo3b2o14bo32bo14b2o3bo4bo3b2o121b2o$265bo13bo29b2o36bo24b2o3bo3b2ob
4ob2o3bo13b2o30b2o13bo3b2ob4ob2o3bo$264bobo11bobo66bobo23bo4b3obobo2bo
bob3o62b3obobo2bobob3o$264bobo11bobo56bo10b2o17b2ob3o7bo3bo2bo3bo6b2o
50b2o6bobobo2bobobo$265bo13bo55b3o29b2obo11b2ob2ob2o9bo49bo11bo4bo$
275b3o56bo50b2o11b2o50bobo9b4o$275b3o5bo50b2o61b2o3b2o42b4o3bo137bo$
258b2o12b4o2bo3bobo34b2o74bob3ob2obo40bob4o3b2o136b2o$258b2o11bobo3bo
4bobo35bo72b2ob2obo5bo38b7o5bo134b2o$266b2o2b2o9b2o2b2o33bob2o69b2obo
5bo2bo37b3o5bo$264b2o2b2o13bobo35bo2bo69bob2o7bo38bob3o3b2o$264bo2bobo
3bo6bob2o2bo35b2o14bo30b2o22b2obo3b2ob2o7b2o22b2o7b2ob2o3bobobo$264b3o
3bo2bo6bo3bobo51b2o29b2o11b2o8b2o2bo2bo2b2o8b2o22b2o7bo4bo2bo4bo7b2o$
260b2o10bo8b3obo51bo2bo41b2o7b2ob2o3bob2o43bobobo3b2ob2o7b2o$259bobo
17b2o2bo54b2o50bo7b2obo48b2o3b3obo130bo$259bo19b2o2bo50b2o54bo2bo5bob
2o49bo5b3o130bo$258b2o21b3obo48b2o54bo5bob2ob2o44bo5b7o129b3o$271b2o7b
o3bobo59bo3b2o39bob2ob3obo47b2o3b4obo$271b2o7bob2o2bo58bobo3bo40b2o3b
2o51bo3b4o$262b2o19bobo58bobo3bo11b2o32b2o11b2o27b4o9bobo$261bobo17b2o
2b2o53b2obobo3bo12bo33bo9b2ob2ob2o23bo4bo11bo$261bo20bobo55b2obo2b4obo
11b3o14b2o14b2o6bo3bo2bo3bo18bobobo2bobobo6b2o14b2o$260b2o20bobo59bobo
3bobo12bo15bo20b3obobo2bobob3o14b3obobo2bobob3o20bo$283bo56b2ob2o2bo2b
obo25b3o5b2o13bo3b2ob4ob2o3bo12bo3b2ob4ob2o3bo13b2o5b3o$341bobo2b2o3bo
26bo8bo14b2o3bo4bo3b2o14b2o3bo4bo3b2o14bo8bo$329b2o10bobo40b3o5b2o10b
2o2bo2bo2b2o18b2o2bo2bo2b2o10b2o5b3o$329b2o11bo41bo7b2o10bob2o4b2obo
18bob2o4b2obo10b2o7bo$622bo$623b2o$622b2o6$621bo$622bo$620b3o7$454b2o
162bobo$454bobo162b2o$456bo4b2o156bo$452b4ob2o2bo2bo$452bo2bobobobob2o
$455bobobobo$456b2obobo$460bo2$446b2o$376b2o11bo57bo7b2o$376b2o10bobo
56bobo5b2o17bo$388bobo2b2o3bo49b2o22b3o42bob2o4b2obo10b2o7bo$387b2ob2o
2bo2bobo12bo58bo45b2o2bo2bo2b2o10b2o5b3o$379bo11bobo3bobo10b3o16bo41b
2o42b2o3bo4bo3b2o14bo8bo$377b2obo6b2obo2b4obo10bo18bobo83bo3b2ob4ob2o
3bo13b2o5b3o$377b2o8b2obobo3bo12b2o17bobo84b3obobo2bobob3o3b2o15bo$
381b2o8bobo3bo28b3ob2o34bo12b2o36bobob4obobo7b2o13b2o$377b2o2b2o9bobo
3bo7b2o17bo41bo12bo38bo2b2o2bo6b2o$377b4o12bo3b2o7b2o18b3ob2o26b2o5b3o
12bob2o36b2o2b2o7b2o3bo$377bo4bo24bo10b2o8bob2o26bo13b2o4b3o2bo50bo$
377b2ob3o36bo39b3o10b2o3bo3b2o50bobo3bo109bobo$373bo3bo2bo26b3o9bobo
39bo15b4o51b2obobob2o109b2o$373b2o2b2o41b2o39bob2o15bo50bo5bo3bo108bo$
373bo4bo80b2obobo12b3o51bob2o3b3o$369b2o88bo2bo13bo55bo6bo9b2o$368bo2b
o89b2o14b5o37b2o28b2o$367bob2o37bo72bo37b2o9bo6bo$367bo38b2o71bo49b3o
3b2obo$366b2o111b2o47bo3bo5bo110bo$381b2o30bo115b2obobob2o109bobo$381b
o31b2o115bo3bobo111b2o$382b3o27bob2o21b2o96bo$384bo11b2o14bobo23b2o91b
o3b2o7b2o2b2o$347bo49bo14b2o23bo97b2o6bo2b2o2bo$346bobo45b3o4bo49bo80b
2o7bobob4obobo$346bobo45bo6b3o45b3o82b2o3b3obobo2bobob3o$344b2o2b2o54b
o43bo74b2o13bo3b2ob4ob2o3bo$345bobo55bo45bo74bo14b2o3bo4bo3b2o$344bo2b
2obo7b2o43bo3bo38bo2bo71b3o5b2o10b2o2bo2bo2b2o$344bobo3bo7b2o69b2o15bo
74bo7b2o10bob2o4b2obo$345bob3o21b2o22b2o7bo4bo20bo4b2o8bo2bo$347bo2b2o
19bo23bo8b3o2bo17b3o5b2o9bobo$347bo2b2o17bobo20b2obo6b2o23bo13bo5bo3bo
2bo173b2o7b2o$345bob3o8bo10b2o21bo2b3o2bo2bo3b2o32bo13bo56b2o7b2o46b4o
5b4o45b4o5b4o$344bobo3bo6bo2bo3b3o26b2o3b3obo2bo2bo32b3o7bo3bo54b2ob2o
4b2ob2o44bo3bo4bo3bo45b2ob2o4b2ob2o$344bo2b2obo6bo3bobo2bo28b6o2bobo2b
o34bo8b4o54b4o5b4o49bo8bo47b2o7b2o12b3o$345bobo13b2o2b2o28bo6b2ob3o3b
2o98b2o7b2o46bo2bo5bo2bo$344b2o2b2o9b2o2b2o31b3o5b4o3bobo$346bobo4bo3b
obo11b2o26bo4bobo6bo$346bobo3bo2b4o12b2o21b5o6b3o5b2o51bob2o4b2obo10b
2o7bo26bo7b2o10bob2o4b2obo$347bo5b3o38bo10b2o59b2o2bo2bo2b2o10b2o5b3o
26b3o5b2o10b2o2bo2bo2b2o$353b3o40bo35b2o30b2o3bo4bo3b2o14bo32bo14b2o3b
o4bo3b2o$351bo13bo29b2o36bo24b2o3bo3b2ob4ob2o3bo13b2o30b2o13bo3b2ob4ob
2o3bo$350bobo11bobo66bobo23bo4b3obobo2bobob3o62b3obobo2bobob3o$350bobo
11bobo56bo10b2o17b2ob3o7bo3bo2bo3bo6b2o50b2o6bobobo2bobobo$351bo13bo
55b3o29b2obo11b2ob2ob2o9bo49bo11bo4bo$361b3o56bo50b2o11b2o50bobo9b4o$
361b3o5bo50b2o61b2o3b2o42b4o3bo137bo$344b2o12b4o2bo3bobo34b2o74bob3ob
2obo40bob4o3b2o136b2o$344b2o11bobo3bo4bobo35bo72b2ob2obo5bo38b7o5bo
134b2o$352b2o2b2o9b2o2b2o33bob2o69b2obo5bo2bo37b3o5bo$350b2o2b2o13bobo
35bo2bo69bob2o7bo38bob3o3b2o$350bo2bobo3bo6bob2o2bo35b2o14bo30b2o22b2o
bo3b2ob2o7b2o22b2o7b2ob2o3bobobo$350b3o3bo2bo6bo3bobo51b2o29b2o11b2o8b
2o2bo2bo2b2o8b2o22b2o7bo4bo2bo4bo7b2o$346b2o10bo8b3obo51bo2bo41b2o7b2o
b2o3bob2o43bobobo3b2ob2o7b2o201b2o$345bobo17b2o2bo54b2o50bo7b2obo48b2o
3b3obo130bo78b4o$345bo19b2o2bo50b2o54bo2bo5bob2o49bo5b3o130bo77bob2o$
344b2o21b3obo48b2o54bo5bob2ob2o44bo5b7o129b3o$357b2o7bo3bobo59bo3b2o
39bob2ob3obo47b2o3b4obo211bo$357b2o7bob2o2bo58bobo3bo40b2o3b2o51bo3b4o
211b2o$348b2o19bobo58bobo3bo11b2o32b2o11b2o27b4o9bobo215b3o$347bobo17b
2o2b2o53b2obobo3bo12bo33bo9b2ob2ob2o23bo4bo11bo216bo$347bo20bobo55b2ob
o2b4obo11b3o14b2o14b2o6bo3bo2bo3bo18bobobo2bobobo6b2o14b2o123b2o88b2o$
346b2o20bobo59bobo3bobo12bo15bo20b3obobo2bobob3o14b3obobo2bobob3o20bo
124b2o88b2o$369bo56b2ob2o2bo2bobo25b3o5b2o13bo3b2ob4ob2o3bo12bo3b2ob4o
b2o3bo13b2o5b3o$427bobo2b2o3bo26bo8bo14b2o3bo4bo3b2o14b2o3bo4bo3b2o14b
o8bo$415b2o10bobo40b3o5b2o10b2o2bo2bo2b2o18b2o2bo2bo2b2o10b2o5b3o$415b
2o11bo41bo7b2o10bob2o4b2obo18bob2o4b2obo10b2o7bo3$687b2o83bo$687b2o82b
2o$770bo3bo$771b2o2bo$776bo$773bobo$774bo$774bo$695b2o77b2o$695b2o77b
2o2$721b2o$721b2o26bo10bo$748b5o5bob2o11bo$747bo10bo3bo9bo$748b2o8b3ob
o9b2o$703b2o44b2o9b2o12bo$703b2o31b2o13bo21b3o$736b2o35b3o$729b2o$729b
2o4$711b2o$711b2o7b2o22b2o$719bo2bo11bo9b2o11b2o$722bo3bo6b3o19b2o2bo$
719b5o3bo5b3o24bo3bo$721bo6bo7b3o15bo5bo3bo$722bo3b2o27bo2b2o3bobo$
722b2o32b3o5bo$764bo!

[wwei47]

Benzaldehyde#9736 posted this weird superstring tagalong in the Discord. It moves diagonally.

Code: Select all

x = 176, y = 24, rule = B3/S23:T0,24
4bo$3b2o$bob2o$bo2bo$4bo$3b2o$3b2o$4bo$4bo$3b2o$3b2o$4bo$4bo$3b2o$3b2o
$4bo$4bo$3b2o$3b2o$4bo$4bo$3b2o$3b2o$4bo!

[dl-rs]

This is almost certainly know because it's simple.

Code: Select all

x = 28, y = 23, rule = B3/S23
17b2o5b4o$15b2ob2o3bo3bo$15b4o8bo$16b2o5bo2bo3$15bo7b2o$6b5o7b2o3bobo
$6bo18bo$7b3o13b3o$8bo4b2o$13b2o3$24b4o$23bo3bo$27bo$23bo2bo$b5o$o4bo
$5bo$o3bo$2bo!

[dvgrn]

This is almost certainly know because it's simple.

Code: Select all

x = 28, y = 23, rule = B3/S23
17b2o5b4o$15b2ob2o3bo3bo$15b4o8bo$16b2o5bo2bo3$15bo7b2o$6b5o7b2o3bobo
$6bo18bo$7b3o13b3o$8bo4b2o$13b2o3$24b4o$23bo3bo$27bo$23bo2bo$b5o$o4bo
$5bo$o3bo$2bo!

The place to check for this kind of thing is the jslife-moving repo. Here's the p20 c/2 stamp collection. That particular blinker puffer doesn't show up there, but there are two other puffers of about the same size that produce the same line of blinkers.

So your puffer is maybe not exactly "known", but there are known equivalents, and that's usually about where new stuff stops getting collected for jslife-moving.

[pzq_alex]

replicator-like tagalong of the superstring

Code: Select all

x = 4, y = 24, rule = B3/S23:T0,24
3bo$ob2o$ob2o$o2bo$3bo$2b2o$2b2o$3bo$3bo$2b2o$2b2o$3bo$3bo$2b2o$2b2o$
3bo$3bo$2b2o$2b2o$3bo$3bo$2b2o$2b2o$3bo!

[xpsd]

This is almost certainly know because it's simple.

Code: Select all

...

... the p20 c/2 stamp collection. That particular blinker puffer doesn't show up there, but there are two other puffers of about the same size that produce the same line of blinkers.
...

This slight variation is a traffic light puffer.

Code: Select all

x = 29, y = 23, rule = LifeHistory
18.2A5.4A$16.2A.2A3.A3.A$16.4A8.A$17.2A5.A2.A3$16.A7.2A$7.5A7.2A3.A.A
$7.A18.A$8.3A13.3A$9.A4.2A$14.2A3$25.4A$24.A3.A$28.A$24.A2.A$.6A$A5.A
$6.A$A4.A$2.2A!

Still not a TL wire stretcher, as Moosey requested some time ago, but far lighter than Summers-Hickerson's pointed by Skomick...

[HotWheels9232]

Known?(see a glider synthesis of that loaf predecessor in the silly little components thread in the sandbox)

Code: Select all

x = 21, y = 13, rule = LifeHistory
8.A$8.A.A$8.2A2$6.A$5.A14.A$5.A13.A$5.A13.A$5.A13.A$2.2A12.2A$.A.A11.
A.A$.A13.A$2A12.2A!

Another methuselah:

Code: Select all

x = 20, y = 20, rule = B3/S23
5b4o$9bo$9bo$10b2o6$o$o$o$b2o14bo$b3o12bobo$b2o12b2obo$15bo3bo$14b3obo
$13bo3bobo$14b2o$16b4o!
[[ MAXGRIDSIZE 14 ]]

And another on but 22x15:

Code: Select all

x = 22, y = 15, rule = B3/S23
5b4o$9bo$9bo$10b2o2$18bo$17bobo2$16b4o$o19bo$o16b2o2bo$o15bo2bo$b2o14b
obo$b3o15bo$b2o![[ MAXGRIDSIZE 14 ]]

Does it count? 22x15=330

[confocaloid]

Small 180 degree reflector:

Code: Select all

x = 19, y = 20, rule = B3/S23
14b2o$14bo$obo9bobo$b2o9b2o$bo3$11b2o$11b2o3b2o$15bo2bo2$14bo$b2o11bo
2bo$bo5b2o3b2ob2o$2b3o2b2o3b3o$4bo8bo$2b2o$2bo$3bo8b2o$2b2o8b2o!

The Coe's p8 does its job in every phase, so even though this is strictly-speaking a periodic reflector, it can be used as if it were stable.

Another use of the reflector:

Code: Select all

#C [[ ZOOM 4 X 350 Y 320 ]]
x = 725, y = 724, rule = LifeHistory
A.A$.2A$.A57$60.A$61.2A$60.2A48$110.A$111.2A$110.2A25$136.A.A$137.2A$
137.A48$188.A$186.A.A$187.2A8$198.A$196.A.A$197.2A8$208.A$206.A.A$
207.2A8$218.A$216.A.A$217.2A11$229.A.A$230.2A$230.A35$266.A.A$267.2A$
267.A134$402.A.A$403.2A$403.A55$460.A$461.2A$460.2A48$510.A$511.2A$
510.2A25$536.A.A$537.2A$537.A46$586.A$584.A.A$585.2A10$598.A$596.A.A$
597.2A8$608.A$606.A.A$607.2A8$618.A$616.A.A$617.2A11$629.A.A$630.2A$
630.A32$720.2C$664.A.A51.2D2C$665.2A51.2D$665.A3$716.2C$714.2D2C$714.
2D33$720.2A$720.A$718.A.A$718.2A4$717.2A$717.2A3.2A$721.A2.A2$720.A$
707.2A11.A2.A$707.A5.2A3.2A.2A$708.3A2.2A3.3A$710.A8.A$708.2A$708.A$
709.A8.2A$708.2A8.2A!

[Mr. T]

Known I guess.

Code: Select all

x = 135, y = 53, rule = B3/S23
29bo$28bobo15b3o$28bobo$29bo2$123bo$o24b2o18b2o13b2o57b2obobob2o$3o18b
2obobo14b2obobo14bo41bo15b2obobob2o$3bo18bobo17bobo16bobo18b2o18bobo
17bobo$2bobo17bobo17bobo17bobo16bo2bo17bobo17bobo$3bo19bo19bo19bo18b2o
19bo19bo2$7b2o18b2o18b2o18b2o18b2o18b2o18b2o$7bobo17bobo17bobo17bobo
17bobo17bobo17bobo$8bo19bo19bo19bo19bo19bo19bo$121b2o$121b2o4$12b3o17b
3o17b3o17b3o17b3o17b3o17b3o$12bo19bo19bo19bo19bo19bo19bo$13bo19bo19bo
19bo19bo19bo19bo15$24b2o$3bo20bo18bo19bo19b2o18b2o18b2o$2bobo17bobo17b
obo17bobo17bobo17bobo19bo$bobo18b2o19bo18b2o19bo18b2o17b3o$b2o118bo$7b
2o18b2o18b2o18b2o18b2o18b2o18b2o$7bobo17bobo17bobo17bobo17bobo17bobo
17bobo$8bo19bo19bo19bo19bo19bo19bo6$12b3o17b3o17b3o17b3o17b3o17b3o17b
3o$12bo19bo19bo19bo19bo19bo19bo$13bo19bo19bo19bo19bo19bo19bo!

Perhaps I should have chosen the Useless Thread because the reflector is not persistent.

Code: Select all

x = 302, y = 305, rule = B3/S23
7$12bo$11bobo$11bobo$12bo2$16b2o$16bobo$18bo2bo$18bobobo$16bobobobo$
16b2o3bo2$25b2o$25bobo$27bo2bo$27bobobo$25bobobobo$25b2o3bo2$34b2o$34b
obo$36bo2bo$36bobobo$34bobobobo$34b2o3bo2$43b2o$43bobo$45bo2bo$45bobob
o$43bobobobo$43b2o3bo2$52b2o$52bobo$54bo2bo$54bobobo$52bobobobo$52b2o
3bo2$61b2o$61bobo$63bo2bo$63bobobo$61bobobobo$61b2o3bo2$70b2o$70bobo$
72bo2bo$72bobobo$70bobobobo$70b2o3bo2$79b2o$79bobo$81bo2bo$81bobobo$
79bobobobo$79b2o3bo2$88b2o$88bobo$90bo2bo$90bobobo$88bobobobo$88b2o3bo
2$97b2o$97bobo$99bo2bo$99bobobo$97bobobobo$97b2o3bo2$106b2o$106bobo$
108bo2bo$108bobobo$106bobobobo$106b2o3bo2$115b2o$115bobo$117bo2bo$117b
obobo$115bobobobo$115b2o3bo2$124b2o$124bobo$126bo2bo$126bobobo$124bobo
bobo$124b2o3bo2$133b2o$133bobo$134bo6$138b3o$138bo$139bo12$150b3o$150b
o$151bo12$162b3o$162bo$163bo12$174b3o$174bo$175bo12$186b3o$186bo$187bo
12$198b3o$198bo$199bo12$210b3o$210bo$211bo12$222b3o$222bo$223bo12$234b
3o$234bo$235bo12$246b3o$246bo$247bo12$258b3o$258bo$259bo12$270b3o$270b
o$271bo12$282b3o$282bo$283bo12$294b3o$294bo$295bo!

[AlbertArmStain]

I found this syringe variant a year and a half ago:

Code: Select all

x = 25, y = 34, rule = LifeHistory
5.C$5.3C$8.C$7.C.C$7.C.CB$8.C3B$10.4B$10.6B$10.7B$9.8B.4B.B$6.B.13B.B
2C$5.18B2C$5.16B.2B$4.6BD10B$3.A7BD8B$.2ACD4B3D7B$A.D.D2.12B$2AD5.10B
$.2D5.2B2C6B$7.3B2C6B$8.10B$8.8B.B2C.C$7.7B3.B2CB3C$7.6B6.B4.C$8.6B4.
2C.3C$8.5B4.C2.2C$7.8B.C.C$7.8BC.C.2C.C$8.5B.2BCB.C.2C$8.3D2B2.2B2.C$
9.BDB4.B.2C$9.3D3.C.C2.2C$10.B4.2C2.C2.C$20.2C!

It could be useful for a self-destruct. Although, it's more than likely to be known.

EDIT:
It's known, nobody has ever thought of using it in a self-destruct though.

[Jormungant]

some Xor operation enabled with carefully placed eater:

Code: Select all

x = 60, y = 158, rule = LifeHistory
7$51.B$31.C18.2B$31.3C15.3B$34.C13.4B$33.2C.D10.4B$35.3D8.4B$34.2D2BD
6.4B$33.6B5.4B$33.6B4.4B$32.7B3.4B$33.12B$26.A6.11B$26.3A4.10B$17.A
11.A2.10B.B$17.3A8.2A3.8B.2BA$20.A7.15BA.A$19.2A3.B5.7BD4B.BA$19.8B2.
7B3D3B$21.15BD4B$21.20B$20.19B.B2A$18.21B.BA.A$16.24B3.A$16.2BC9B2.3B
4.4B2.2A$15.3BCBC4B.B3.2B6.B2CB$16.2B3C4B5.4B5.C.2B$15.5BC4B7.2A6.3C$
14.10B8.A8.BC$13.4B16.3A6.B$13.3B19.A$11.4B$11.2A$12.A$9.3A$9.A6$11.C
$11.2C$10.C.C6$51.B$31.C18.2B$31.3C15.3B$34.C13.4B$33.2C.D10.4B$35.3D
8.4B$34.2D2BD6.4B$33.6B5.4B$33.6B4.4B$32.7B3.4B$33.12B$26.A6.11B$26.
3A4.10B$17.A11.A2.10B.B$17.3A8.2A3.8B.2BA$20.A7.15BA.A$19.2A3.B5.7BD
4B.BA$19.8B2.7B3D3B$21.15BD4B$21.20B$20.19B.B2A$18.21B.BA.A$16.24B3.A
$16.2BC9B2.3B4.4B2.2A$15.3BCBC4B.B3.2B6.B2CB$16.2B3C4B5.4B5.C.2B$15.
5BC4B7.2A6.3C$14.10B8.A8.BC$13.4B16.3A6.B$13.3B19.A$11.4B$11.2A$12.A$
9.3A$9.A6$11.D$11.2D$10.D.D6$51.B$31.C18.2B$31.3C15.3B$34.C13.4B$33.
2C.D10.4B$35.3D8.4B$34.2D2BD6.4B$33.6B5.4B$33.6B4.4B$32.7B3.4B$33.12B
$26.A6.11B$26.3A4.10B$17.A11.A2.10B.B$17.3A8.2A3.8B.2BA$20.A7.15BA.A$
19.2A3.B5.7BD4B.BA$19.8B2.7B3D3B$21.15BD4B$21.20B$20.19B.B2A$18.21B.B
A.A$16.24B3.A$16.2BD9B2.3B4.4B2.2A$15.3BDBD4B.B3.2B6.B2CB$16.2B3D4B5.
4B5.C.2B$15.5BD4B7.2A6.3C$14.10B8.A8.BC$13.4B16.3A6.B$13.3B19.A$11.4B
$11.2A$12.A$9.3A$9.A6$11.C$11.2C$10.C.C!

works with repeat time 65.

[Game of Life Fun]

This is almost certainly know because it's simple.

Code: Select all

x = 28, y = 23, rule = B3/S23
17b2o5b4o$15b2ob2o3bo3bo$15b4o8bo$16b2o5bo2bo3$15bo7b2o$6b5o7b2o3bobo
$6bo18bo$7b3o13b3o$8bo4b2o$13b2o3$24b4o$23bo3bo$27bo$23bo2bo$b5o$o4bo
$5bo$o3bo$2bo!

Smaller version, better than js-life:

Code: Select all

x = 37, y = 24, rule = B3/S23
3$20b2o5b4o$18b2ob2o3bo3bo$18b4o8bo$19b2o8bo3$26b2o$26bobo$28bo$26b3o
5$17bo9b4o$18bo7bo3bo$13bo4bo11bo$14b5o10bo!
[[ STOP 20 ]]

[squareroot12621]

Glider + xs20_0giligz122qi43 = Glider + LWSS: Yes, this is modified from hexagonal key.

Code: Select all

x = 7, y = 14, rule = B3/S23
bobo$2b2o$2bo2$2b2o$3bo$bo$ob4o$o5bo$b5o2$3bo$2bobo$3bo!
[[ Y -3 ZOOM 20 STOP 19 ]]