Thread for basic questions
Thread for basic questions
Post any minor question related to/ask for help with Conway's Life here.
For starters, are there any ways to eat any of these with a c/2 orthogonal spaceship?:
 Loaf
 Beehive
 Mango
 Boat
 Long Boat
 Ship
For starters, are there any ways to eat any of these with a c/2 orthogonal spaceship?:
 Loaf
 Beehive
 Mango
 Boat
 Long Boat
 Ship
Bored of using the Moore neighbourhood for everything? Introducing the Range2 von Neumann isotropic nontotalistic rulespace!
Re: Thread for basic questions
Could this help?
Code: Select all
x = 34, y = 35, rule = B3s23
2$7.A.A$6.A2.A$5.2A$4.A$3.4A$2.A4.A6.A$2.A2.A5.2A.A$2.A2.A5.A$3.A7.A$
4.4A.A$5.A3.A$6.A$6.5A2$6.5A$6.A$5.A3.A2.A$4.4A.A$3.A7.A.A7.5A$2.A2.A
5.A9.A4.A$2.A2.A5.5A5.A$2.A4.A14.A3.A$3.4A4.2A.A2.A6.A$4.A6.A2.A$5.2A
4.A4.A.A2.3A$6.A2.A6.A6.A$7.A.A2.A3.A6.A$10.A.A4.A4.A$19.2A!
Still drifting.

 Posts: 3138
 Joined: June 19th, 2015, 8:50 pm
 Location: In the kingdom of Sultan Hamengkubuwono X
Re: Thread for basic questions
Why is this sticky?
Airy Clave White It Nay
(Check gen 2)
Code: Select all
x = 17, y = 10, rule = B3/S23
b2ob2obo5b2o$11b4obo$2bob3o2bo2b3o$bo3b2o4b2o$o2bo2bob2o3b4o$bob2obo5b
o2b2o$2b2o4bobo2b3o$bo3b5ob2obobo$2bo5bob2o$4bob2o2bobobo!
Re: Thread for basic questions
^
dvgrn wrote:2) It might be better not to spin off a new thread for every small question. If there had been, say, a thread in General Discussion called "Thread for Newcomer Questions", that always sorts to the top of the list along with Life Links, would that look like a good place to post questions along these lines? Or some other title along those lines? If it seems like a good idea, please feel free to create a thread like that.
Bored of using the Moore neighbourhood for everything? Introducing the Range2 von Neumann isotropic nontotalistic rulespace!
Re: Thread for basic questions
Sure does:Bullet51 wrote:Could this help?Code: Select all
x = 34, y = 35, rule = B3s23 2$7.A.A$6.A2.A$5.2A$4.A$3.4A$2.A4.A6.A$2.A2.A5.2A.A$2.A2.A5.A$3.A7.A$ 4.4A.A$5.A3.A$6.A$6.5A2$6.5A$6.A$5.A3.A2.A$4.4A.A$3.A7.A.A7.5A$2.A2.A 5.A9.A4.A$2.A2.A5.5A5.A$2.A4.A14.A3.A$3.4A4.2A.A2.A6.A$4.A6.A2.A$5.2A 4.A4.A.A2.3A$6.A2.A6.A6.A$7.A.A2.A3.A6.A$10.A.A4.A4.A$19.2A!
Code: Select all
x = 368, y = 68, rule = B3/S23
19bo$19b4o$21b2o$24bo$21b4o$14bo10bo$14b3o4bo2b3o$16b2o5b3o$17bo6bo$
17bobob3o$19b2o2bo$17bo3b2o124b2o203b3o$18b4o123bo4bo200b5o$151bo199b
3ob2o$18b4o94b2o27bo5bo202b2o$17bo3b2o90b3ob2o27b6o$19b2o2bo89b5o214b
2o15bo14b2o$3b3o9bobobob3o58b3o10b5o14b3o214bo15b3o13b4o$2b5o8bobo6bo
56b5o8bo4bo228b3o32b2ob2o$2b3ob2o8b2o5b3o55b3ob2o12bo14bo32bo24bo23bo
23bo23bo23bo23bo23bo10b2o3bo7bo4b3o17b2o$5b2o6b4o4bo2b3o57b2o8bo3bo14b
o24b2o8bo13b2o8bo13b2o8bo13b2o8bo13b2o8bo13b2o8bo13b2o8bo13b2o8bo10bo
4bo6b2o17bobo$12bo12bo70bo17bo23b2o8bo13b2o8bo13b2o8bo13b2o8bo13b2o8bo
13b2o8bo13b2o8bo13b2o8bo3bo8b3o6b2obo4b2o9bo2b2o$14b3o4b4o296bo17bobo
5b2o9bobo$9b2obobob2o6bo72b2o22b2o22b2o22b2o22b2o22b2o101b3o17b2o4b3o
16b2o$8b3obo4bo3b2o44b5o25b2o2b2o18b2o2b2o18b2o2b2o18b2o2b2o18b2o2b2o
18b2o2b2o140b2ob2o$b2o4b2o2b2o4bob4o43bo4bo29b2o22b2o22b2o22b2o22b2o
22b2o73b3o20b2o42b4o$o7bo2bo4b4o51bo156bo65bo4bo12b2ob2o2bo44b2o$b2o6b
2o5bo49bo3bo155bobo65bo5bo13bo4bo32b4o$68bo157bobo16bo47bo2bob2o51b6o$
244b3o47bo56b4ob2o$21bo23bo23bo7b2o14bo7b2o14bo7b2o14bo7b2o14bo7b2o14b
o8bo14bo23bo6b3o19b2o24bo2bo59b2o$20bobo21bobo21bobo6b2o13bobo6b2o13bo
bo6b2o13bobo6b2o13bobo6b2o13bobo6b4o11bobo21bobo26b4o6bo15bo3bo$20bobo
21bobo21bobo21bobo21bobo21bobo21bobo21bobo6bo14bobo7b3o11bobo6bo18bo4b
o5b2o14b3o2bo$21bo23bo23bo23bo23bo23bo23bo23bo6b5o12bo11b2o10bo4b4obo
15bo5bo4bobo14b2ob2o$196b2ob3o19bobob2o15b3o2b3o14bo9bo2bo16b2o$196bob
o2b2o17b3obobo17bob4o15b2o2bo6b2o$b2o6b2o5bo180b2o22bo24bo20b2o10bo$o
7bo2bo4b4o179bo2bo21b2o52bo$b2o4b2o2b2o4bob4o176b3o22b2o19b3o$8b3obo4b
o3b2o80bo23b2o22b2o22b2o44bo4bo18b3o26bobo$9b2obobob2o6bo77bo24b2o22b
2o22b2o44bob3o20bo26b2o27b5o$14b3o4b4o78bo116bo32b2o19b2o25bo4bo$12bo
12bo227b2o51bo$5b2o6b4o4bo2b3o76b3o118b2o75bo3bo$2b3ob2o8b2o5b3o76b5o
115bo2bo77bo$2b5o8bobo6bo77b3ob2o114b3o$3b3o9bobobob3o81b2o113bo24bo4b
o$19b2o2bo196bo23bobo2bobo$17bo3b2o197bo23bobo2bobo$18b4o223bo4bo2$18b
4o$17bo3b2o$19b2o2bo163bo$17bobob3o161b2o$17bo6bo161b2o$16b2o5b3o$14b
3o4bo2b3o$14bo10bo$21b4o$24bo$21b2o$19b4o$19bo2$151bo$149b2o$150b2o!
Bored of using the Moore neighbourhood for everything? Introducing the Range2 von Neumann isotropic nontotalistic rulespace!
Re: Thread for basic questions
Are lightspeed spaceships/puffers/rakes (or ones faster than c/2) possible? Theoretically an infinitely long orthogonal line would travel at light speed (and also be a replicator), so we could use a line and some other stuff to at least get a faster than _WSS speed ship.
Bored of using the Moore neighbourhood for everything? Introducing the Range2 von Neumann isotropic nontotalistic rulespace!

 Posts: 3138
 Joined: June 19th, 2015, 8:50 pm
 Location: In the kingdom of Sultan Hamengkubuwono X
Re: Thread for basic questions
(Sorry for the meme)muzik wrote:Are lightspeed spaceships/puffers/rakes (or ones faster than c/2) possible? Theoretically an infinitely long orthogonal line would travel at light speed (and also be a replicator), so we could use a line and some other stuff to at least get a faster than _WSS speed ship.
Sorry, it has been proven that spaceships cannot exceed c2 (_WSS Speed)
Though I forgot the proof.
A rule must contain b2 or b0 to get to C (or the speed of light)
At that state, time would slow down to you but not to the observer, therefore, you would look like you are speeding, but to you, you are just still, floating,this is due to Einstein's general relativity...
Airy Clave White It Nay
(Check gen 2)
Code: Select all
x = 17, y = 10, rule = B3/S23
b2ob2obo5b2o$11b4obo$2bob3o2bo2b3o$bo3b2o4b2o$o2bo2bob2o3b4o$bob2obo5b
o2b2o$2b2o4bobo2b3o$bo3b5ob2obobo$2bo5bob2o$4bob2o2bobobo!
Re: Thread for basic questions
I'm fine with memes (actually, this is probably the only forum I use where I don't spam them everywhere).Saka wrote: (Sorry for the meme)
Of course, you could somehow stabilise a straight line, but how you would do so with moving objects (which as previously proven, cannot exceed c/2) and then manage to regenerate the line I do not know.
Would it be possible to make a spaceship using the prepulsar as the actual thing that moves it? I know there is a ship that pushes it, but would it be actually possible to use it as the main thing that drives the ship (like the bomber in highlife does with the replicator)?
Bored of using the Moore neighbourhood for everything? Introducing the Range2 von Neumann isotropic nontotalistic rulespace!
Re: Thread for basic questions
It's not really very likely, no, because the c/5 prepulsar reaction doesn't have very big or accessible sparks to allow multiple prepulsars to "rub together" and cancel each other's trailing junk.muzik wrote:Would it be possible to make a spaceship using the prepulsar as the actual thing that moves it? I know there is a ship that pushes it, but would it be actually possible to use it as the main thing that drives the ship (like the bomber in highlife does with the replicator)?
Think of the way multiple switch engines can combine to make a Cordership, for example. The fading sparks at the back can interact with each other in many different ways, making a big enough search space that some of the permutations are likely to just happen to fade to vacuum.
Otherwise the support for trailingjunk cleanup has to be provided some other way. The c/5 spaceships in the current prepulsar pusher are the obvious way to do it.
In theory it's technically possible that some combination of prepulsars might leave behind a fuse that would happen to burn at exactly c/5 while happening to provide exactly the right support sparks to all of the prepulsars.
However, it seems like a bit of a stretch to imagine that something like that could actually be found  especially in this case, where prepulsars can't even supply sparks to help each other move forward (can they?) let alone interact with each other to clean up trailing debris.
Re: Thread for basic questions
There are indeed some sparks, but I doubt that they'll come in useful. After all, they are made from "cancelled" blinkers:dvgrn wrote:It's not really very likely, no, because the c/5 prepulsar reaction doesn't have very big or accessible sparks to allow multiple prepulsars to "rub together" and cancel each other's trailing junk.muzik wrote:Would it be possible to make a spaceship using the prepulsar as the actual thing that moves it? I know there is a ship that pushes it, but would it be actually possible to use it as the main thing that drives the ship (like the bomber in highlife does with the replicator)?
Think of the way multiple switch engines can combine to make a Cordership, for example. The fading sparks at the back can interact with each other in many different ways, making a big enough search space that some of the permutations are likely to just happen to fade to vacuum.
Otherwise the support for trailingjunk cleanup has to be provided some other way. The c/5 spaceships in the current prepulsar pusher are the obvious way to do it.
In theory it's technically possible that some combination of prepulsars might leave behind a fuse that would happen to burn at exactly c/5 while happening to provide exactly the right support sparks to all of the prepulsars.
However, it seems like a bit of a stretch to imagine that something like that could actually be found  especially in this case, where prepulsars can't even supply sparks to help each other move forward (can they?) let alone interact with each other to clean up trailing debris.
Code: Select all
x = 15, y = 7, rule = B3/S23
3b3o3b3o$4bo5bo$4bo5bo$2o11b2o$4bo5bo$4bo5bo$3b3o3b3o!
Bored of using the Moore neighbourhood for everything? Introducing the Range2 von Neumann isotropic nontotalistic rulespace!
Re: Thread for basic questions
Basically what we're trying to do here is replicate highlife's bomber, which uses a replicator. Prepulsar, in all technicality, is a replicator.
In the bomber, one of the resulting replicators is "cancelled" by a blinker, which then turns into a traffic light (these being unstable in HL), causing another blinker to form in essentially the same position, so that the replicator does not get out of control.
Since the prepulsar does replicate itself, we would need to somehow eat one of the replicating sides, in a way that would not upset the other, and would drag the upsetting item along.
In the bomber, one of the resulting replicators is "cancelled" by a blinker, which then turns into a traffic light (these being unstable in HL), causing another blinker to form in essentially the same position, so that the replicator does not get out of control.
Since the prepulsar does replicate itself, we would need to somehow eat one of the replicating sides, in a way that would not upset the other, and would drag the upsetting item along.
Bored of using the Moore neighbourhood for everything? Introducing the Range2 von Neumann isotropic nontotalistic rulespace!
Re: Thread for basic questions
Okay, so this ate the blocks and still made a pulsar in a different place. Progress I guess.
Should we make a different thread for this?
Code: Select all
x = 9, y = 8, rule = B3/S23
3o3b3o$obo3bobo$3o3b3o4$b2o3b2o$b2o3b2o!
Should we make a different thread for this?
Bored of using the Moore neighbourhood for everything? Introducing the Range2 von Neumann isotropic nontotalistic rulespace!
Re: Thread for basic questions
and also beehives:
This reaction, too, looks promising:
Code: Select all
x = 9, y = 9, rule = B3/S23
3o3b3o$obo3bobo$3o3b3o4$b2o3b2o$o2bobo2bo$b2o3b2o!
This reaction, too, looks promising:
Code: Select all
x = 19, y = 10, rule = B3/S23
5b3o3b3o$5bobo3bobo$5b3o3b3o4$6b2o3b2o$2o3bo2bobo2bo3b2o$2o3bo2bobo2bo
3b2o$6b2o3b2o!
Bored of using the Moore neighbourhood for everything? Introducing the Range2 von Neumann isotropic nontotalistic rulespace!
Re: Thread for basic questions
Could a gun similar to this one exist in normal life?
Code: Select all
x = 22, y = 21, rule = B38/S23
4$4b3o$4bo3bo$3b2o3bo$2b2o5bo$2b2o2b2o2bo$8bobo$9bo!
Bored of using the Moore neighbourhood for everything? Introducing the Range2 von Neumann isotropic nontotalistic rulespace!
Re: Thread for basic questions
Sure! By "like this", you just mean a reflectorless rotating oscillator (every part of the pattern is active, no catalysts, nothing left behind) that spits out a glider with each rotation? Is 90degree rotation required, or could it be 180 degrees, or a simple mirror reflection with no glide offset?muzik wrote:Could a gun similar to this one exist in normal life?
All of these options must exist in B3/S23, thanks to the horrible old Universal Constructor argument which doesn't help at all with finding actual examples.
So it's just a question of how big the smallest example of each type is. We're not likely to find definite answers about "smallest" questions any time soon, in the absence of someone doing an exhaustive search, let's say of all 8x8 patterns, with a huge distributed search project.
If such a search happens to find one of these objects. then we'll know it's the smallest one  but that seems pretty unlikely. And even if the smallest such object is only slightly larger, let's say, 12x12, it's going to be out of our reach to find it, pretty much indefinitely. If you call an 8x8 search a "OneChessboard Search", then a 12x12 search is a million million million million OneChessboard sized searches.
(And OneChessboard is bad enough. I think it would absorb the entire world's current computing capacity for a noticeable amount of time. We're at, what, 10^20 operations per second globally nowadays? And 8x8 would be 10^19 cases to test, and each test is a lot more than ten CPU operations, even with very aggressive optimization.)
A really big VolatilityEqualsOne Gun could be constructed nowadays, which would actually run (slowly) in Golly  but it would look suspiciously like a universalconstructor loop making a copy of itself, emitting a glider, and selfdestructing.
Re: Thread for basic questions
We already have a maximally volatile gun, I believe, with period 177.dvgrn wrote:A really big VolatilityEqualsOne Gun could be constructed nowadays, which would actually run (slowly) in Golly  but it would look suspiciously like a universalconstructor loop making a copy of itself, emitting a glider, and selfdestructing.
What do you do with ill crystallographers? Take them to the monoclinic!
Re: Thread for basic questions
Yes, I wrote my answer thinking that the original "similar to this" question meant a gun with the reflectorlessrotating property, not just maximum volatility.calcyman wrote:We already have a maximally volatile gun, I believe, with period 177.
Offhand I can't find any volatility=1 guns besides Jason Summers' p177 construction, which is certainly impressive, but it doesn't really look too similar to the B38/S23 rotating gun:
Code: Select all
#C Trueperiod p177 gun, volatility=1. Jason Summers, 22 Oct 2009
x = 1087, y = 1043, rule = B3/S23
378bo20bo$377b2o20b2o$377bo6b2o6b2o6bo$376bo6bo2bo4bo2bo6bo$384b2o6b2o
2$372b3o3b3o16b3o3b3o2$376bo24bo$376bo24bo$376bo7bo8bo7bo$382b2o10b2o$
366bo44bo$366bo44bo$366bo44bo2$363bo4b3o36b3o4bo$361b2o52b2o$360b2o4bo
44bo4b2o$366bo44bo$366bo44bo2$371bo34bo$363bo7bo34bo7bo$362bobo5bo36bo
5bobo$362bobo48bobo$363bo50bo5$363bo50bo$362bobo48bobo$362bobo5bo36bo
5bobo$363bo7bo34bo7bo$371bo34bo2$366bo44bo$366bo44bo$360b2o4bo44bo4b2o
$361b2o52b2o$363bo4b3o36b3o4bo2$366bo44bo$366bo44bo$366bo44bo$382b2o
10b2o$376bo7bo8bo7bo$376bo24bo$376bo24bo2$372b3o3b3o16b3o3b3o2$384b2o
6b2o399bo20bo$376bo6bo2bo4bo2bo6bo391b2o18b2o$370bo6bo6b2o6b2o6bo391b
2o20b2o$371b2o4b2o20b2o386b2o3bo22bo3b2o$370b2o6bo20bo388bo8b2o10b2o8b
o$788bo8b2o10b2o8bo2$783bo7b2o22b2o7bo$783b3o5b2o22b2o5b3o3$787b2o30b
2o$782b2o3b2o30b2o3b2o$780b3o42b3o$781bo44bo3$784b2o36b2o$784b2o36b2o
11$784b2o36b2o$784b2o36b2o3$781bo44bo$780b3o42b3o$782b2o3b2o30b2o3b2o$
787b2o30b2o3$783b3o5b2o22b2o5b3o$783bo7b2o22b2o7bo2$788bo8b2o10b2o8bo$
788bo8b2o10b2o8bo$327b2o458b2o3bo22bo3b2o$326bobo463b2o20b2o$328bo86bo
377b2o18b2o$416bo376bo20bo$414b3o15$798bo$799b2o$798b2o14$755b2o$754bo
bo$756bo7$283bo$283b2o$282bobo$458bobo$459b2o$459bo14$843bo$844bo$842b
3o14$711bo$711b2o$710bobo5$899bo6bo$898b2o6b2o$898bobo4bobo$238b3o658b
2ob2ob2o$240bo648bo5bobo3bo2bo3bobo5bo$239bo264bo384bo6bo12bo6bo$502bo
bo384b2o5bo12bo5b2o$503b2o386bo3b3o2b6o2b3o3bo$890b3o2b2o12b2o2b3o$
887b4obob3o12b3obob4o$887b2o2b6o12b6o2b2o$887b2o2bo2b3o12b3o2bo2b2o$
889b3o22b3o$889b3o22b3o$882b3o36b3o$882b3o36b3o$877b3o2bo2b2o32b2o2bo
2b3o$879bob2o2b2o32b2o2b2obo$880b2ob4o32b4ob2o$881b3o38b3o$883bo38bo$
864bobo15b3o36b3o$864b2o11bo2b5o36b5o2bo$865bo12b7o36b7o$877bo2bo44bo
2bo$874b2o54b2o$873b2obo52bob2o$875b2o3bo44bo3b2o$877bo2bo44bo2bo$876b
o3bo44bo3bo$876bo3bo44bo3bo$877bo2bo44bo2bo$875b2o3bo44bo3b2o$873b2obo
52bob2o$874b2o54b2o$877bo2bo44bo2bo$878b7o36b7o$877bo2b5o36b5o2bo$666b
3o213b3o36b3o$668bo214bo38bo$667bo213b3o38b3o$880b2ob4o32b4ob2o$879bob
2o2b2o32b2o2b2obo$877b3o2bo2b2o32b2o2bo2b3o$882b3o36b3o$882b3o36b3o$
889b3o22b3o$194b2o693b3o22b3o$195b2o690b2o2bo2b3o12b3o2bo2b2o$194bo
352bo339b2o2b6o12b6o2b2o$548b2o337b4obob3o12b3obob4o$547b2o341b3o2b2o
12b2o2b3o$891bo3b3o2b6o2b3o3bo$889b2o5bo12bo5b2o$889bo6bo12bo6bo$889bo
5bobo3bo2bo3bobo5bo$899b2ob2ob2o$898bobo4bobo$898b2o6b2o$899bo6bo6$
820bo$820bobo$820b2o15$622b2o$623b2o$622bo7$150b2o$149bobo$151bo440bo$
593bo$591b3o14$777bo$775b2o$776b2o15$578b2o$577bobo$579bo7$106bo$106b
2o$105bobo$635bobo$636b2o$22bo12bo600bo$21bo2bo8bo2bo$21b2o2b2o4b2o2b
2o$22bo2b2o4b2o2bo$23b4o4b4o$20bo2bobo6bobo2bo$20bo2b2o8b2o2bo$16bo24b
o$15bo26bo$14b2o26b2o$14b2obo22bob2o$15bobo22bobo$16bo24bo$732bo$9b2o
36b2o682bo$8b4o34b4o681b3o$7bo4bo32bo4bo$10b2o34b2o3$5b2o44b2o$b2o52b
2o$ob2o50b2obo$4b3o44b3o$bo2bobo44bobo2bo$2b4o46b4o$2b3o48b3o4$534bo$
2b3o48b3o478b2o$2b4o46b4o477bobo$bo2bobo44bobo2bo$4b3o44b3o$ob2o50b2ob
o$b2o52b2o$5b2o44b2o3$10b2o34b2o13b3o$7bo4bo32bo4bo12bo$8b4o34b4o12bo
618bo$9b2o36b2o630bobo$680b2o$16bo24bo$15bobo22bobo$14b2obo22bob2o$14b
2o26b2o$15bo26bo$16bo24bo$20bo2b2o8b2o2bo$20bo2bobo6bobo2bo$23b4o4b4o$
22bo2b2o4b2o2bo$21b2o2b2o4b2o2b2o$21bo2bo8bo2bo$22bo12bo$687bobo$687b
2o$688bo15$489b3o$491bo$490bo6$92b2o$91b2o$93bo$724bo$725b2o$724b2o13$
247b2o4b2o230bo6bo$246b2obo2bob2o41b3o6b2obo2bob2o6b3o50b3o18b3o74b3ob
o6bobo4bobo6bob3o138bo$243b4o2bo2bo2b4o37b4o7bo2b2o2bo7b4o48bob2o18b2o
bo72bobo2b2o5bo3b2o3bo5b2o2bobo137bobo$177bo14bo49bob2o2b2o2b2o2b2obo
34b2o3bo8b6o8bo3b2o46b2obobobobo6bobobobob2o72b2o2b3o6b3o2b3o6b3o2b2o
137b2o$176bobo12bobo48bo3b3o4b3o3bo34bo2b2o24b2o2bo47b2o2b3obo6bob3o2b
2o72bo2bo2bo8b6o8bo2bo2bo$174bo3bo12bo3bo40b3o4b5o6b5o4b3o28b2ob2o24b
2ob2o48b2o5bo6bo5b2o74b2o2bo11b2o11bo2b2o$173bob2o2bo10bo2b2obo38bo3bo
4b3o8b3o4bo3bo29bo28bo51b3ob2o8b2ob3o75b4o26b4o$169bo3b8o8b8o3bo33bo5b
o20bo5bo39bo6bo69bo4bo84bo9b3o4b3o9bo$169b2obo6b2o8b2o6bob2o32bo3bo3bo
18bo3bo3bo35bo2b2o4b2o2bo64bo3b2o3bo90b2o3bo2bo3b2o$178b3o8b3o44bobo2b
o18bo2bobo39b2o3b2o3b2o67b6o92bobo2bo2bo2bobo$174b2o18b2o35bo5bo3bo18b
o3bo5bo33bo2b2o4b2o2bo147bo15bo4b2o2b2o4bo15bo$174bobo16bobo34bo9bo20b
o9bo14b3o15b5o4b5o15b3o127b2ob2o14bo3b2o2b2o3bo14b2ob2o311b2o4b2o$164b
2o38b2o23bo9bo22bo9bo13bobo44bobo126bobob2o14bo2bo6bo2bo14b2obobo308bo
2bo4bo2bo$93b3o18b3o48bo38bo23bo3bo5bo24bo5bo3bo11bo3bo42bo3bo125b2obo
b2o15bo8bo15b2obob2o308b2o8b2o$89b2o9b2o6b2o9b2o107bo2bobo34bobo2bo10b
2ob2o44b2ob2o124bo4bo42bo4bo308b2o8b2o$88bobobo6bo2bo4bo2bo6bobobo43bo
38bo23bo3bo3bo28bo3bo3bo10b2ob2o44b2ob2o23b2o48b2o51bobo44bobo309bobo
8bobo$87b2obo4bo4b2o6b2o4bo4bob2o40b2o40b2o22bo5bo30bo5bo11b3o48b3o22b
ob2o46b2obo48b4o46b4o308bo10bo$87b2o3bobo20bobo3b2o39bobo2b2o32b2o2bob
o22bo3bo32bo3bo88b2ob2o44b2ob2o49b2o48b2o$85b2ob2o2b2o22b2o2b2ob2o38b
2o2bo34bo2b2o24b3o34b3o89b3ob2o42b2ob3o31b2o368b3o24b3o$161bob2o3bo32b
o3b2obo17b2o46b2o89bo42bo37b2o$101bo6bo51bo3bo40bo3bo15bo2bo44bo2bo85b
2obo42bob2o33bo25bo34bo309b2o24b2o$82bo18b2o4b2o18bo33b2obobo36bobob2o
16b2ob2o42b2ob2o14bob2o32b2obo32bo46bo58b2ob2o30b2ob2o307b2o24b2o$82bo
19b2o2b2o19bo35b4o36b4o18b2ob2o42b2ob2o15bobo32bobo32b2obo42bob2o57bo
38bo307b2o24b2o$80b2o16b2o2b6o2b2o16b2o34b3o36b3o18b2ob3o42b3ob2o6bo7b
obo32bobo7bo27bobo38bobo53b2o4bobo3bo28bo3bobo4b2o$79b4o15b3o2b4o2b3o
15b4o92b2o2b2o44b2o2b2o5b2o4b2ob2o32b2ob2o4b2o24b3o44b3o49bo2bo3bo4bo
30bo4bo3bo2bo292bo40bo$78bo3bo15bo2bobo2bobo2bo15bo3bo91bo2b2o46b2o2bo
7bo4bob2o32b2obo4bo30bobo36bobo54bob2o2bo2b2o32b2o2bo2b2obo293bob3o32b
3obo$78b3o18b3o6b3o18b3o4b2o86b3o48b3o6bobo48bobo30bo36bo58b2o3b4o32b
4o3b2o295bob3o32b3obo$100bo8bo26bobo146b2o5bo36bo5b2o30b2o36b2o56bob2o
44b2obo$79bob2o44b2obo5bo148b2o5bo36bo5b2o30b2o36b2o56bob2o44b2obo$77b
o4bo44bo4bo91b3o48b3o6bobo48bobo30bo36bo58b2o3b4o32b4o3b2o255bo$77bo3b
o46bo3bo90bo2b2o46b2o2bo7bo4bob2o32b2obo4bo30bobo36bobo54bob2o2bo2b2o
32b2o2bo2b2obo254bo$77bo2bo48bo2bo90b2o2b2o44b2o2b2o5b2o4b2ob2o32b2ob
2o4b2o24b3o44b3o49bo2bo3bo4bo30bo4bo3bo2bo251b3o$164b3o36b3o18b2ob3o
42b3ob2o6bo7bobo32bobo7bo27bobo38bobo53b2o4bobo3bo28bo3bobo4b2o290bo
46bo$163b4o36b4o18b2ob2o42b2ob2o15bobo32bobo32b2obo42bob2o57bo38bo294b
3obo44bob3o$87b3o30b3o38b2obobo36bobob2o16b2ob2o42b2ob2o14bob2o32b2obo
32bo46bo58b2ob2o30b2ob2o295b3o46b3o$79bo7b2obo28bob2o7bo29bo3bo40bo3bo
15bo2bo44bo2bo85b2obo42bob2o59bo34bo295bo54bo$78bobo7bob2o26b2obo7bobo
29bob2o3bo32bo3b2obo17b2o46b2o89bo42bo393b2o52b2o$78bobo3b2o3b2o28b2o
3b2o3bobo31b2o2bo34bo2b2o24b3o34b3o89b3ob2o42b2ob3o$79bo5b3o34b3o5bo
31bobo2b2o32b2o2bobo22bo3bo32bo3bo88b2ob2o44b2ob2o49b2o48b2o$86b4o30b
4o39b2o40b2o22bo5bo30bo5bo11b3o48b3o22bob2o46b2obo48b4o46b4o$87b2o32b
2o42bo38bo23bo3bo3bo28bo3bo3bo10b2ob2o44b2ob2o23b2o48b2o51bobo44bobo$
87b2o32b2o105bo2bobo34bobo2bo10b2ob2o44b2ob2o124bo4bo42bo4bo286b2o52b
2o$86b4o30b4o41bo38bo23bo3bo5bo24bo5bo3bo11bo3bo42bo3bo125b2obob2o15bo
8bo15b2obob2o286bo54bo$79bo5b3o34b3o5bo33b2o38b2o23bo9bo22bo9bo13bobo
44bobo126bobob2o14bo2bo6bo2bo14b2obobo288b3o46b3o$78bobo3b2o3b2o28b2o
3b2o3bobo42bobo16bobo34bo9bo20bo9bo14b3o15b5o4b5o15b3o127b2ob2o14bo3b
2o2b2o3bo14b2ob2o288b3obo44bob3o$78bobo7bob2o26b2obo7bobo42b2o18b2o35b
o5bo3bo18bo3bo5bo33bo2b2o4b2o2bo147bo15bo4b2o2b2o4bo15bo87bo205bo46bo$
79bo7b2obo28bob2o7bo47b3o8b3o44bobo2bo18bo2bobo39b2o3b2o3b2o67b6o92bob
o2bo2bo2bobo102b2o$87b3o30b3o46b2obo6b2o8b2o6bob2o32bo3bo3bo18bo3bo3bo
35bo2b2o4b2o2bo64bo3b2o3bo90b2o3bo2bo3b2o103b2o$169bo3b8o8b8o3bo33bo5b
o20bo5bo39bo6bo69bo4bo84bo9b3o4b3o9bo$173bob2o2bo10bo2b2obo38bo3bo4b3o
8b3o4bo3bo29bo28bo51b3ob2o8b2ob3o75b4o26b4o$77bo2bo48bo2bo41bo3bo12bo
3bo40b3o4b5o6b5o4b3o28b2ob2o24b2ob2o48b2o5bo6bo5b2o74b2o2bo11b2o11bo2b
2o$77bo3bo46bo3bo43bobo12bobo48bo3b3o4b3o3bo34bo2b2o24b2o2bo47b2o2b3ob
o6bob3o2b2o72bo2bo2bo8b6o8bo2bo2bo302bob3o32b3obo$77bo4bo44bo4bo44bo
14bo49bob2o2b2o2b2o2b2obo34b2o3bo8b6o8bo3b2o46b2obobobobo6bobobobob2o
72b2o2b3o6b3o2b3o6b3o2b2o303bob3o32b3obo$79bob2o44b2obo112b4o2bo2bo2b
4o37b4o7bo2b2o2bo7b4o48bob2o18b2obo72bobo2b2o5bo3b2o3bo5b2o2bobo303bo
40bo$100bo8bo136b2obo2bob2o41b3o6b2obo2bob2o6b3o50b3o18b3o74b3obo6bobo
4bobo6bob3o$78b3o18b3o6b3o18b3o115b2o4b2o230bo6bo323b2o24b2o$78bo3bo
15bo2bobo2bobo2bo15bo3bo684b2o24b2o$79b4o15b3o2b4o2b3o15b4o685b2o24b2o
$80b2o16b2o2b6o2b2o16b2o$82bo19b2o2b2o19bo687b3o24b3o$82bo18b2o4b2o18b
o41bo353bo$101bo6bo58bo3bo84b3o262bo3bo298bo10bo$166bo88b5o83b5o53b2o
29b2o86bo302bobo8bobo$85b2ob2o2b2o22b2o2b2ob2o41bo4bo82b2ob3o83bo4bo
51bobo28b2ob3o83bo4bo298b2o8b2o$87b2o3bobo20bobo3b2o43b5o84b2o86bo58bo
29b5o83b5o299b2o8b2o$87b2obo4bo4b2o6b2o4bo4bob2o64b2o155bo3bo84b3o388b
o2bo4bo2bo$88bobobo6bo2bo4bo2bo6bobobo68bo155bo479b2o4b2o$89b2o9b2o6b
2o9b2o66bobo257b2o352b2o$93b3o18b3o71bo256bo4bo83b4o261bo4bo$182bo84b
6o83b2o86bo88b6o82b6o83b2o86bo$180b2o85bo5bo81b2ob4o82bo5bo81b2ob4o82b
o5bo81b2ob4o82bo5bo$180b3o84bo88b6o82b6o83b2o86bo88b6o82b6o$180b2o86bo
4bo83b4o261bo4bo83b4o$270b2o352b2o$653bo22bo$652b2o6b2o6b2o6b2o$654bo
4bo2bo4bo2bo4bo$649b3obo6b2o6b2o6bob3o$166bo18bo375b2o33b2o48b2ob4o24b
4ob2o$166b2o16b2o374bobo32b2o49b3o32b3o$168bo14bo207bo14bo155bo34bo48b
2o34b2o$160bo3bob2o16b2obo3bo200bo12bo256b2o2b2o$159bobo2b3o18b3o2bobo
195bobob2o10b2obobo247bo2b2o6b2o2bo47bo10bo$159bobo7b2o10b2o7bobo194bo
6bo8bo6bo230b3o14b2obobo2bobob2o14b3o23bo7bo10bo7bo$160bo8b2o10b2o8bo
140bo50b2ob2o3bo14bo3b2ob2o226b3o15bobo6bobo15b3o21bo2bo4bo14bo4bo2bo$
100bobo230b2o48b2o2b4o4bo6bo4b4o2b2o95bobo129bo16bobo6bobo16bo25bo4bob
o10bobo4bo$100b2o53b2o6b2o22b2o6b2o135b2o58bobo8bobo105b2o127b2o17bob
2ob2ob2obo17b2o20bobo4bo2bo10bo2bo4bobo$101bo52bo2bo5b2o22b2o5bo2bo
190b2o3bo10bo3b2o101bo128b2o18b3ob2ob3o18b2o28bobo10bobo$155b2o38b2o
191bo20bo230b2o22b2o22b2o$378b2o38b2o218bo2bo46bo2bo$159b2o30b2o185b2o
38b2o217b2obo48bob2o11bobo38bobo$154b2o3b2o30b2o3b2o441bo50bo$155bo40b
o181bo40bo142bo20bo119bo2bo38bo2bo$151b2ob2o40b2ob2o176b3o38b3o139b2o
22b2o118b2o40b2o$152bobo42bobo176bo2bob2o32b2obo2bo136b2obo22bob2o57bo
38bo$153bo44bo180bobo34bobo138bo4bo4bo10bo4bo4bo57bo36bo$156b2o36b2o
180bo2bo38bo2bo135bo6b2ob2o8b2ob2o6bo50bo6b4o30b4o6bo$156b2o36b2o178bo
3bo40bo3bo214bobo4bo4bo28bo4bo4bobo14bo38bo$287bo87b2o3bo36bo3b2o136bo
2b4o14b4o2bo51bobo4b6o28b6o4bobo12b2obo36bob2o$288bo87bo4bo34bo4bo138b
o3b3o12b3o3bo53bo4bo4b2o28b2o4bo4bo$286b3o88bo2bo36bo2bo140bo3b2o12b2o
3bo59bobo36bobo16b2ob3o36b3ob2o$46b3o12b3o315bo38bo143bo5bob2o2b2obo5b
o65b3o26b3o93b3o$45bo3bo10bo3bo485b2o15bo3bo2bo3bo15b2o53b3o26b3o95bo$
44bo20bo483bo16b2o2bo4bo2b2o16bo47bobo36bobo89bo$549bo3bo11b4o8b4o11bo
3bo42bo4bo4b2o28b2o4bo4bo$45bobo14bobo483bo5bo10b2o12b2o10bo5bo40bobo
4b6o28b6o4bobo$46b2ob2o8b2ob2o484b2o5bo34bo5b2o40bobo4bo4bo28bo4bo4bob
o$48bo12bo485bo2bo2bo2bo32bo2bo2bo2bo40bo6b4o30b4o6bo160bo$156b2o36b2o
183bo38bo134bo38bo53bo36bo166b2o$156b2o36b2o181bo2bo36bo2bo130bob2o36b
2obo50bo38bo165bobo$153bo44bo32bobo142bo4bo34bo4bo129bob3o3b2o24b2o3b
3obo$152bobo42bobo32b2o141b2o3bo36bo3b2o131b2o2b3o24b3o2b2o110b2ob3o
36b3ob2o$151b2ob2o40b2ob2o31bo141bo3bo40bo3bo126b2o5b3o26b3o5b2o43bo
50bo$34bo40bo79bo40bo179bo2bo38bo2bo129bo4bo2bo26bo2bo4bo42b2obo48bob
2o11b2obo36bob2o$33bo2bo36bo2bo77b2o3b2o30b2o3b2o181bobo34bobo219bo2bo
46bo2bo14bo38bo$32bo4bo34bo4bo81b2o30b2o183bo2bob2o32b2obo2bo134bobo
28bobo50b2o22b2o22b2o$32bo3b2o34b2o3bo299b3o38b3o135b2o30b2o50b2o18b3o
b2ob3o18b2o$32bo5bo32bo5bo77b2o38b2o181bo40bo220b2o17bob2ob2ob2obo17b
2o$33bo3bo34bo3bo77bo2bo5b2o22b2o5bo2bo444bo16bobo6bobo16bo16b2o40b2o$
37bo34bo82b2o6b2o22b2o6b2o181b2o38b2o136b2o30b2o51b3o15bobo6bobo15b3o
14bo2bo38bo2bo$378b2o38b2o136bobo28bobo51b3o14b2obobo2bobob2o14b3o$
160bo8b2o10b2o8bo196bo20bo225b2o20bo2b2o6b2o2bo31bobo38bobo$159bobo7b
2o10b2o7bobo195b2o3bo10bo3b2o107bo33bo4bo2bo26bo2bo4bo39bobo25b2o2b2o$
159bobo2b3o18b3o2bobo199bobo8bobo111b2o31b2o5b3o26b3o5b2o40bo9b2o34b2o
$160bo3bob2o16b2obo3bo191b2o2b4o4bo6bo4b4o2b2o101bobo35b2o2b3o24b3o2b
2o54b3o32b3o34bobo10bobo$168bo14bo199b2ob2o3bo14bo3b2ob2o136bob3o3b2o
24b2o3b3obo51b2ob4o24b4ob2o26bobo4bo2bo10bo2bo4bobo$166b2o16b2o201bo6b
o8bo6bo140bob2o36b2obo54b3obo6b2o6b2o6bob3o32bo4bobo10bobo4bo$166bo18b
o202bobob2o10b2obobo143bo38bo61bo4bo2bo4bo2bo4bo34bo2bo4bo14bo4bo2bo$
37bo34bo33bo270bo14bo12bo116bo24bo2bo2bo2bo32bo2bo2bo2bo53b2o6b2o6b2o
6b2o34bo7bo10bo7bo$33bo3bo34bo3bo27bobo271bo12bo14bo115bobo23b2o5bo34b
o5b2o55bo22bo43bo10bo$32bo5bo32bo5bo27b2o269b3o143b2o24bo5bo10b2o12b2o
10bo5bo$32bo3b2o34b2o3bo471bo3bo11b4o8b4o11bo3bo$32bo4bo34bo4bo471bo
16b2o2bo4bo2b2o16bo$33bo2bo36bo2bo473b2o15bo3bo2bo3bo15b2o$34bo40bo
486bo5bob2o2b2obo5bo$561bo3b2o12b2o3bo$560bo3b3o12b3o3bo$559bo2b4o14b
4o2bo2$557bo6b2ob2o8b2ob2o6bo$48bo12bo495bo4bo4bo10bo4bo4bo$46b2ob2o8b
2ob2o494b2obo22bob2o$45bobo14bobo495b2o22b2o$330bobo229bo20bo249b3o18b
3o$44bo20bo265b2o440b2o65b2o6b2o$45bo3bo10bo3bo266bo440b2o65bo2bo4bo2b
o$46b3o12b3o710bo56b3o6b2o6b2o6b3o$830bo3bo20bo3bo$830bo3bo20bo3bo$
830bo3bo20bo3bo$831b3o22b3o$838b2o10b2o$513b2o14b2o307b3o8b3o42b3o$
513b3o12b3o306bo14bo41bo$277bo234bo2bo12bo2bo363bo$275bobo234bob2o12b
2obo$276b2o235b3o12b3o290b3o42b3o$515bo12bo291bo3bo40bo3bo$513b4o10b4o
289bo3bo15bo8bo15bo3bo$512bo3bo10bo3bo285bo2bo3bo15bo8bo15bo3bo2bo$
513b2obo10bob2o286bo3b3o42b3o3bo$513b3o12b3o286bo54bo2$827bo34bo$825b
2o36b2o$591bo227bo5b2o36b2o5bo$591b2o225bobo5bo5b2o22b2o5bo5bobo$499b
2o3bo34bo3b2o45bobo225bobo48bobo$497b2o2bobob2o30b2obobo2b2o272bo50bo$
497b2ob2obob2o30b2obob2ob2o$498b6o2bo30bo2b6o$503b3o32b3o$149bo$150b2o
268bobo396bo50bo$149b2o270b2o395bobo48bobo$421bo396bobo5bo5b2o22b2o5bo
5bobo$819bo5b2o36b2o5bo$825b2o36b2o$827bo34bo2$817bo54bo$817bo3b3o42b
3o3bo$503b3o32b3o276bo2bo3bo15bo8bo15bo3bo2bo$498b6o2bo30bo2b6o274bo3b
o15bo8bo15bo3bo$497b2ob2obob2o30b2obob2ob2o273bo3bo40bo3bo$497b2o2bobo
b2o30b2obobo2b2o274b3o42b3o$499b2o3bo34bo3b2o$376bo440bo$374bobo439bo
20bo14bo$375b2o439bo21b3o8b3o$817b4o17b2o10b2o$819bo11b3o22b3o$513b3o
12b3o299bo3bo20bo3bo$513b2obo10bob2o299bo3bo20bo3bo$512bo3bo10bo3bo
298bo3bo20bo3bo$513b4o10b4o300b3o6b2o6b2o6b3o$515bo12bo310bo2bo4bo2bo
88b2o$513b3o12b3o309b2o6b2o88b2o$320bo191bob2o12b2obo301b3o18b3o83bo$
321b2o189bo2bo12bo2bo$320b2o191b3o12b3o$513b2o14b2o9$546b3o$548bo$547b
o4$194bo$195bo270bo$193b3o268bobo$465b2o12$419bo354bo$420b2o352b2o$
419b2o352bobo7$983b2o$983bobo$365bo617bo$366bo$364b3o$1055b2o6b2o$
1050b2o2bo2bo4bo2bo2b2o$1049bo2bo2b2o6b2o2bo2bo$1048bo2bo16bo2bo$1047b
o3bo16bo3bo$1047bo24bo$1046bo2bo20bo2bo$1046bo2bo20bo2bo$1046bobo22bob
o$502b2o$503b2o$502bo2$1039b3o36b3o$1037b2o42b2o$1036bo4bo36bo4bo$237b
obo269bo525bo3b2o38b2o3bo$238b2o270b2o522bo50bo$238bo270b2o523bob2o44b
2obo$1035bo48bo2$1034bo50bo$1033bobo48bobo$1033bobo48bobo$1034bo50bo5$
1034bo50bo$464bo568bobo48bobo$465bo263b3o301bobo48bobo$463b3o265bo302b
o50bo$730bo$1035bo48bo$1034bob2o44b2obo$1034bo50bo$1035bo3b2o38b2o3bo$
1036bo4bo36bo4bo$1028bo8b2o42b2o$1027b2o10b3o36b3o$1027bobo$408bobo$
409b2o$409bo$1046bobo22bobo$1046bo2bo20bo2bo$1046bo2bo20bo2bo$1047bo
24bo$1047bo3bo16bo3bo$1048bo2bo16bo2bo$1049bo2bo2b2o6b2o2bo2bo$1050b2o
2bo2bo4bo2bo2b2o$458b2o595b2o6b2o$457bobo$459bo5$283bo270bo$281bobo
271bo$282b2o269b3o13$507bobo175b2o$508b2o176b2o$508bo176bo6$993b3o$
995bo$994bo$454bo$452bobo$453b2o9$414bo$414b2o$413bobo5$326bo$327b2o
268bobo$326b2o270b2o$598bo12$553bo87b2o$551bobo86bobo$552b2o88bo6$949b
2o$950b2o$949bo$497bo$498b2o$497b2o6$635b3o16b3o$637bo16bo$630bo3bob2o
16b2obo3bo$629bobo2b2o20b2o2bobo$369b3o257bobo7b2o10b2o7bobo$371bo258b
o8b2o10b2o8bo$370bo$625b2o6b2o22b2o6b2o$374bo6b2o6b2o6bo226bo2bo5b2o
22b2o5bo2bo$374b2o4bo2bo4bo2bo4b2o227b2o38b2o$374bobo4b2o6b2o4bobo$
370bo3bo2bo16bo2bo3bo227b2o30b2o$370bo3bobo18bobo3bo222b2o3b2o30b2o3b
2o$370bo30bo220bo2bo40bo2bo$622bobo42bobo$372b3o22b3o222b3o42b3o2$626b
2o36b2o$626b2o36b2o$362b3o42b3o2$366bo38bo$366bo38bo$359b5o2bo38bo2b5o
$360bo50bo$361bobo44bobo185bo$362bo46bo187b2o$596b2o2$360bo50bo214b2o
36b2o$359bobo48bobo213b2o36b2o$359bobo48bobo$360bo50bo210b3o42b3o$622b
obo42bobo235b2o$622bo2bo40bo2bo234bobo$624b2o3b2o30b2o3b2o238bo$542bo
86b2o30b2o$360bo50bo131bo$359bobo48bobo128b3o81b2o38b2o$359bobo48bobo
211bo2bo5b2o22b2o5bo2bo$360bo50bo213b2o6b2o22b2o6b2o2$630bo8b2o10b2o8b
o$362bo46bo219bobo7b2o10b2o7bobo$361bobo44bobo218bobo2b2o20b2o2bobo$
360bo50bo218bo3bob2o16b2obo3bo$359b5o2bo38bo2b5o224bo16bo$366bo38bo
229b3o16b3o$366bo38bo2$362b3o42b3o4$372b3o22b3o2$370bo30bo$370bo3bobo
18bobo3bo$370bo3bo2bo16bo2bo3bo$374bobo4b2o6b2o4bobo$374b2o4bo2bo4bo2b
o4b2o$374bo6b2o6b2o6bo8$641bo$642bo$640b3o6$861bo$861b2o$860bobo2$585b
obo$586b2o$586bo31$684bobo$685b2o$685bo6$816b3o$818bo$817bo$631bo$629b
obo$630b2o31$730bo$728bobo$729b2o6$772b2o$773b2o$772bo$674bo$675b2o$
674b2o17$762b2o20b2o$762b2o5b2o6b2o5b2o$758b3o7bo10bo7b3o$757bobo4b4o
12b4o4bobo$757bo5bo3b2o10b2o3bo5bo$757b2o8b2o10b2o8b2o$762b2obo16bob2o
$753b3o6b3o18b3o6b3o$752bo2bo36bo2bo$752b2o40b2o$752bo42bo2$750b2o4b2o
32b2o4b2o$750b2o2bob2o32b2obo2b2o$753bo3bo32bo3bo$753bo2bo34bo2bo$753b
o40bo$753b3o36b3o$752bob2o36b2obo$751bo44bo$751bo44bo5$719bo$720bo$
718b3o30bo44bo$751bo44bo$752bob2o36b2obo$753b3o36b3o$753bo40bo$753bo2b
o34bo2bo$753bo3bo32bo3bo$750b2o2bob2o32b2obo2b2o$750b2o4b2o32b2o4b2o2$
752bo42bo$752b2o40b2o$752bo2bo36bo2bo$753b3o6b3o18b3o6b3o$762b2obo16bo
b2o$757b2o8b2o10b2o8b2o$757bo5bo3b2o10b2o3bo5bo$757bobo4b4o12b4o4bobo$
758b3o7bo10bo7b3o$762b2o5b2o6b2o5b2o$762b2o20b2o!
Re: Thread for basic questions
Code: Select all
x = 55, y = 54, rule = B3/S23
26bo$26bo$25bobo$26bo$26bo$26bo$26bo$25bobo$26bo$26bo9$19b2ob6o$19b2o
13b2o$34b2o4bo2b2o4b2o2bo$39bo3b3o2b3o3bo$35bo4bo2b2o4b2o2bo$35bo$35bo
$35bo$2bo4bo10bo16bo$2ob4ob2o8bo16bo$2bo4bo10bo$18bo$18bo$18bo2$18b2o$
18b2o13b2o$26b6ob2o9$27bo$27bo$26bobo$27bo$27bo$27bo$27bo$26bobo$27bo$
27bo!
Kiran Linsuain
Re: Thread for basic questions
There are a few guns with volatility=1. Other than the two posted above, there is at least my p88, and a p30 with 6 mutually stabilizing queen bees. It should be possible to build a volatility 1 p92 gun based on a volatility 1 p92 twin bees oscillator found by Ivan Fomichev. Of course, the only periods with known strict volatility guns are p30 and p177.dvgrn wrote:Offhand I can't find any volatility=1 guns besides Jason Summers' p177 construction... Are there other constructions that I've forgotten about?
Matthias Merzenich
Re: Thread for basic questions
One of the easier selfconstruction projects nowadays would be a singlechannel Geminoid volatility1 oscillator. It could consist of two identical 180degree syringe reflector/construction arms, each of which would build a freezedried slow salvo triggered by the last passing glider. The freezedried salvo would destroy the reflector/construction arm, and then rebuild it in the exact same place.Sokwe wrote:There are a few guns with volatility=1. Other than the two posted above, there is at least my p88, and a p30 with 6 mutually stabilizing queen bees. It should be possible to build a volatility 1 p92 gun based on a volatility 1 p92 twin bees oscillator found by Ivan Fomichev. Of course, the only periods with known strict volatility guns are p30 and p177.dvgrn wrote:Offhand I can't find any volatility=1 guns besides Jason Summers' p177 construction... Are there other constructions that I've forgotten about?
The circuitry for each half could be as small as 20 still lifes, or even 19sL if it was worth including a doubleended eater. Additional objects for a selfdestruct circuitry aren't strictly necessary; all of the destruction can be done with the freezedried slow salvo, but at a cost of constructing probably 2sL or more per destroyed still life. I would think a selfdestruct circuit would be much more efficient  probably less than half of the slowsalvo cost.
Code: Select all
x = 122, y = 158, rule = LifeHistory
43.2E$43.2E12$61.B$61.2B$61.3B$61.4B$62.4B$63.4B$64.4B$65.4B$66.4B$
67.4B$68.4B$69.4B$69.4B$69.5B$68.9B$68.9B$68.9B$67.10B$20.A45.12B$20.
3A33.2A8.13B$7.2A3.2A9.A17.A15.A9.11B$6.B2AB.B2AB7.2A15.3A15.A.AB4.
12B$7.2B2.3B3.B4.4B12.A19.2AB.15B$8.3B.3B.4B4.3B11.2A20.17B$2A5.7B.
13B11.B20.17B$.A5.23B9.3B19.17B.B$.A.AB.19B.8B4.6B16.19B2A$2.2AB.29B
2.10B11.19B.B2A$4.44B3.2B2.20B4.B$4.37B2A15BD16B$4.37B2A15BDBD4B.9B$
5.53B3D4B2.7B$7.53BD4B2.7B$5.59B4.6B$5.2A3.25B4.13B.4B10.7B$6.A3.20B
4.B4.7B.B5.3B12.6B$3.3A6.15B7.2A32.7B$3.A8.11B12.A33.5B$11.13B8.3A34.
6B$10.15B7.A34.9B$10.16B41.2A.7B$10.17B41.A5.4B$10.16B39.3A7.4B$12.
13B40.A10.4B$12.3B.2B2A5B52.4B$10.4B2.2B2A3B55.4B$10.2A3.8B56.3B$11.A
4.2B3D3B56.2B$8.3A5.3BD4B59.D$8.A8.2B3D2B$17.7B$9.A7.6B63.D$8.A.A6.6B
$8.A.A6.5B75.A$6.3A.2A4.6B67.D7.3A$5.A4.B6.6B77.A$6.3AB2AB3.7B68.BD6.
A.A$8.A.2AB.8B68.DBDB5.A.AB$12.10B69.2D2B5.A3B$12.6B2A3B5.2A62.4B6.4B
$12.6B2A2B5.A.A63.4B5.6B$12.10B5.A66.4B4.7B$11.11B2.BA.A67.4B2.8B.4B.
B$11.12B.B2A69.17B.B2A$10.15B72.18B2A$9.16B72.16B.2B$6.2B.16B72.16B$
5.2A18B72.15B$5.2AB.17B69.2AB.12B$6.B.4B.8B2.4B67.A.AB2.11B$13.7B4.4B
66.A5.10B$14.6B5.4B63.A.A5.2B2A6B$16.4B6.4B62.2A5.3B2A6B$18.3BA5.2B2C
69.10B$19.BA.A5.BCBC68.8B.B2A.A$20.A.A6.CB68.7B3.B2AB3A$21.A77.6B6.B
4.A$22.3A7.D67.6B4.2A.3A$24.A75.5B6.A.A$99.6B6.A.A$35.D63.6B7.A$98.7B
$98.2B3D2B8.A$38.D59.4BD3B5.3A$40.2B56.3B3D2B4.A$40.3B56.8B3.2A$40.4B
55.3B2A2B2.4B$41.4B52.5B2A2B.3B$42.4B10.A40.13B$43.4B7.3A39.16B$44.4B
5.A41.17B$45.7B.2A41.16B$46.9B34.A7.15B$47.6B34.3A8.13B$48.5B33.A12.
11B8.A$47.7B32.2A7.15B6.3A$48.6B12.3B5.B.7B4.B4.20B3.A$48.7B10.4B.13B
4.25B3.2A$48.6B4.59B$48.7B2.4BD53B$48.7B2.4B3D53B$47.9B.4BDBD15B2A37B
$47.16BD15B2A37B$42.B4.20B2.2B3.44B$41.2AB.19B11.10B2.29B.B2A$41.2A
19B16.6B4.8B.19B.BA.A$42.B.17B19.3B9.23B5.A$45.17B20.B11.13B.7B5.2A$
45.17B20.2A11.3B4.4B.3B.3B$45.15B.B2A19.A12.4B4.B3.3B2.2B$45.12B4.BA.
A15.3A15.2A7.B2AB.B2AB$44.11B9.A15.A17.A9.2A3.2A$43.13B8.2A33.3A$44.
12B45.A$45.10B$45.9B$45.9B$45.9B$48.5B$49.4B$49.4B$50.4B$51.4B$52.4B$
53.4B$54.4B$55.4B$56.4B$57.4B$58.3B$59.2B$60.B12$77.2E$77.2E!
With a few extra still lifes, the output stream could be arranged to be 90 degrees from the input stream, which would produce larger diamondshaped oscillator that would run probably a couple of orders of magnitude faster in Golly. Minor adjustments to the freezedried slow salvo would produce a glacially growing loop, or a painfully slow space nonfiller for the 90degree case.
I've been waiting for a good excuse to build a sample pattern that does this kind of quickrebuild trick with a freezedried salvo. I'm not sure that an infinite series of volatility=1 oscillator/gun periods is a good enough excuse  but it's an interesting design problem anyway.
Re: Thread for basic questions
How would one construct a HWSS gun? The 3 glider synthesis can't be used if you're using glider guns because of the weird spacing, so the best I can think of is that ramming a LWSS into a MWSS reaction. Are there easier methods?
Bored of using the Moore neighbourhood for everything? Introducing the Range2 von Neumann isotropic nontotalistic rulespace!
Re: Thread for basic questions
I think I see where you're coming from, but that's not strictly true. The threeglider synthesis is fine, as long as you pick an edgeshooting glider gun to start with.muzik wrote:How would one construct a HWSS gun? The 3 glider synthesis can't be used if you're using glider guns because of the weird spacing, ...
You can't use the old standard p30 guns anyway, because the HWSS is too big and doesn't get out of the way fast enough. Any highenough period gun can be run through a syringebased edgeshooter component, and then you'll be fine.
Here's a general line of approach, if you don't want to come up with a completely new recipe (and even then, you'd do well to do the research first to see if it really will be new):muzik wrote:...so the best I can think of is that ramming a LWSS into a MWSS reaction. Are there easier methods?
1) Check out the known ways to create an HWSS. (Mark Niemiec's website is usually a good place to start.)
2) Find a synthesis that matches your requirements  make sure that the reaction can be repeated at the period of your chosen glider gun, and that it can place gliders on close parallel lanes if the recipe requires that.
3) Paste guns in overlapping the various gliders.
4) Unlimited HWSSes!
Re: Thread for basic questions
Can you use the newfangled Simkin Glider Gun?dvgrn wrote: You can't use the old standard p30 guns anyway, because the HWSS is too big and doesn't get out of the way fast enough. Any highenough period gun can be run through a syringebased edgeshooter component, and then you'll be fine.
Kiran Linsuain
Re: Thread for basic questions
Aaand of course it's pulling a caterpillar.rle on me and not letting me select anything. Paste it intodvgrn wrote:known ways to create an HWSS
Code: Select all
tags?
Also, what is the smallest known heavyweight spaceship gun? In case I can shrink it even more and get myself a rightful place on the wiki
Bored of using the Moore neighbourhood for everything? Introducing the Range2 von Neumann isotropic nontotalistic rulespace!
Re: Thread for basic questions
Code: Select all
#N 13hw.rle
#O Mark D. Niemiec's life synthesis database, Thu Feb 19 02:05:27 2015
x = 316, y = 225, rule = B3/S23
61bo$59bobo$60boo78bo$19bobo76bo42bo76bo$20boo40bo35boo39b3o76boo$20bo
39boo35bobobboo77boo3bo30bobobboo$61boo39bobo77booboo35bobo$58boo42bo
38boo38bo3bobo34bo$17bobo21b3x13bobo21b3x25boo10b3x18boo5boo10b3x37b3x
25boo10b3x$18boobboo17bxbbx14bo21bxbbx23boo11bxbbx16bo6boo11bxbbx36bx
bbx23boo11bxbbx$18bo3bobo16bx26b3o10bx13boo13bo10bx13boo13bo10bx19b3o
17bx13boo13bo10bx$22bo18bx3bx22bo12bx3bx8bobo24bx3bx8bobo24bx3bx15bo
19bx3bx8bobo24bx3bx22bo$41bx3bx23bo11bx3bx10bo24bx3bx10bo24bx3bx16bo
18bx3bx10bo24bx3bx20bobo$41bx39bx39bx39bx14bo24bx39bx25boo$42bxbx37bxb
x37bxbx37bxbx11boo24bxbx37bxbx$175bobo97bo$273bobo$274boo6$139bobo$
140boo$140bo$20bobo37bobo37bobo$21boo38boo38boo$21bo19b3x12bo4bo19b3x
17bo19b3x11bo5boo18b3x37b3x$41bxbbx12bo23bxbbx36bxbbx11boobbobbo17bxbb
x36bxbbx$21boo18bx13b3o3boo18bx13bo5boo18bx13boo3bobbo17bx39bx$21boo
18bx3bx16bo18bx3bx7bobo6bo18bx3bx15boo18bx3bx35bx3bx$17b3o21bx3bx15bo
19bx3bx8boo4bo20bx3bx5boo28bx3bx5boo28bx3bx$19bo21bx19bobo17bx18boo19b
x10boo3boo22bx8bobo10bo17bx$18bo4b3o16bxbx17boo18bxbx37bxbx6bo4bobo23b
xbx7bo4bo4b3o9b3y5bxbx78bo$23bo73boo39bo38boo3boboo98bo$24bo34b3o34bob
o3boo72bobo4b3o96b3o$59bobbo35bobbobo79boo55bo45bo$59bo43bo135bobo44bo
$59bo179boo45bo$60bobo$91boo150bo$90bobo104bobo42boo$92bo104boo43bobo$
198bo$231bobo$232boo$232bo7boo$239bobo$238bobo$239bo$183bobo4boo$184b
oo3bobo$184bo3bobo$17bo171bo$18boo$17boo68bo3boo133bo$87boobbobo132boo
$86bobobbo63bobo20bo32b3x11bobo33b3x47b3x$155boo21boo31bxbbx46bxbbx46b
xbbx$156bo20bobo31bx49bx49bx$211bx3bx45bx3bx45bx3bx$211bx3bx45bx3bx45b
x3bx$211bx49bx49bx$212bxbx47bxbx47bxbx$$29bo92bo$30bo3bo85bobo$28b3obb
o87boo$33b3o$$99boo$98boo30boobboo$100bo30boobobo$130bo3bo3$224bo$34bo
190boo$34boo188boo$33bobo5$235bo$234boo$70boo162bobo$69bobo$71bo160boo
$231bobo$233bo$$186bo53boo$187boo50boo$186boo53bo3$61b3x47b3x47b3x47b
3x37b3x$61bxbbx46bxbbx46bxbbx46bxbbx36bxbbx$61bx49bx49bx49bx39bx$61bx
3bx45bx3bx45bx3bx45bx3bx35bx3bx$61bx3bx45bx3bx45bx3bx27boo5bo10bx39bx
3bx$61bx49bx49bx31bobobboo11bx6b3y30bx$62bxbx47bxbx47bxbx29bobobboo11b
xbx5by31bxbx4b3y$195bo23by41by$260by5$229bo$227bobo$45bobo41bobo136boo
$45boo43boo$46bo43bo10bo131bobo$19bo31bobo45boo133boo$18bo28boobboo47b
oo132bo$18b3o25bobo3bo18bxx18boo18b3x$36bxx10bo7boo12bxbx3bxx12bobo3b
oo13bxbbx$17bo19bx19bo12bxx5bx12boo5bo13bx$16boo16b3x17b3o17b3x10bo6b
3o14bx3bx$16bobo15bx19bo19bx12boo5bo16bx3bx$86bobo22bx$112bxbx4$179bo$
180boo$179boo3$45bobo41bobo$45boo43boo151bo$46bo43bo153bo$51bobo188b3o
$47boobboo193bo$46bobo3bo18bxx18boo18b3x132bo$48bo21bxbx17bobo18bxbbx
59bo71bo$35bxx18boo13bxx3bxx13boo3boo14bx63boo$35bx19bo19bx11bo7bo15bx
3bx58boo$15boo16bxbx17bobo17bxbx11boo4bobo15bx3bx$14boo17bxx18boo18bxx
11bobo4boo16bx$11boo3bo95bxbx65bobo$10bobo77bo90boo$12bo77boo82bobo4bo
$89bobo83boo$175bo5$77bobo$78boo$78bo66bo32b3o$144bo35bo$82bo61b3o32bo
$37bo44bobo186b3x$35bobo19bxx18boo3boo56boo129bxbbx$36boo19bxx18boo62b
o129bx$o3bo28boo37bobo57bobo3b3o130bx3bx$boobobo25bobo38boo58boo3bo
132bx3bx$oobboo16bx11bo7bo19bx10bo8bo50bo8boo127bx$21bxbx17bobo17bxbx
17bobo57bobo128bxbx$6b3o13bx19bo19bx12bo6bo52bo6bo$6bo69boo58boo$7bo
67boo58boo$111b3x47b3x47b3x$72bo6bo31bxbbx17bo6bo21bxbbx46bxbbx$72boo
5boo30bx20boo5boo20bx49bx$71bobo4bobo30bx3bx15bobo4bobo20bx3bx45bx3bx$
111bx3bx45bx3bx45bx3bx$111bx49bx49bx$74b3o35bxbx19b3o25bxbx47bxbx$76bo
59bo$75bo59bo$$94bobo$94boo$85bo9bo$83bobo$84boo$241boo$241bo$73b3x17b
3o148bo$48boo80boo28bxx81boo$49boo$48bo79bo3bo25bx3bx8b3x$70bxx18boo
36bo4bo24bx4bx7bxbbx$51bo17bxbbx16bobbo37bobobo25bxbxbx6bx$50boo18bxbx
17bobo38bobobo25bxbxbx5bx3bx$50bobo18bx19bo3bo36bo4bo12bo11bx4bx3bx3bx
$94boo37bo3bo10boo13bx3bx3bx$94bobo52boo21bxbx68bo$134boo9boo17bxx78bo
$144boo96b3o$146bo99bo$111b3x21boo28bxx79bo$111bxbbx20bo29bx80bo$111bx
22boobb3o23bxxbb3x$111bx3bx18bo3bob3o21bx3bxb3x$111bx3bx18boobo4bo21b
xxbx4bx$111bx24bobo27bxbx$112bxbx17bo4boboo21bx4bxbxx$132b3obo3bo21b3x
bx3bx$134b3obboo23b3xbbxx$139bo29bx$138boo28bxx10$271b3x$271bxbbx$271b
x$271bx3bx$271bx3bx$271bx$272bxbx!
Kiran Linsuain