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31c/240 caterpillar working notes

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.

31c/240 caterpillar working notes

Postby dvgrn » January 4th, 2014, 12:25 am

Back in April 2013 I came up with a fuse of blocks that's reburnable by Herschel pairs, in a way that releases lots of gliders. There's also an (8,27)c/240 oblique version, with various possible minor variations in the spacing of the two block chains:

x = 54, y = 250, rule = LifeHistory
2C$2C6$44.2C$44.2C23$2C$2C6$44.2C$44.2C23$2C$2C6$44.2C$44.2C23$2C$2C
6$44.2C$44.2C23$2C$2C6$44.2C$44.2C23$2C$2C6$44.2C$44.2C23$2C$2C6$44.
2C$44.2C23$2C$2C6$44.2C$44.2C15$7.3A$8.A$6.3A5$51.3A$52.A$50.3A!

Calcyman made a start at working out how to use the 31c/240 fuses to construct a Caterpillar-type spaceship:
calcyman wrote:Here's a potential basis for a forward rake travelling on a symmetrical arrangement of four block tracks:

x = 682, y = 1439, rule = B3/S23
382b2o149b2o$382b2o149b2o$245b2o423b2o$245b2o423b2o28$382b2o149b2o$
382b2o149b2o$245b2o423b2o$245b2o423b2o28$382b2o149b2o$382b2o149b2o$
245b2o423b2o$245b2o423b2o28$382b2o149b2o$382b2o149b2o$245b2o423b2o$
245b2o423b2o28$382b2o149b2o$382b2o149b2o$245b2o423b2o$245b2o423b2o28$
382b2o149b2o$382b2o149b2o$245b2o423b2o$245b2o423b2o28$382b2o149b2o$
382b2o149b2o$245b2o423b2o$245b2o423b2o28$382b2o149b2o$382b2o149b2o$
245b2o423b2o$245b2o423b2o28$382b2o149b2o$382b2o149b2o$245b2o423b2o$
245b2o423b2o28$382b2o149b2o$382b2o149b2o$245b2o423b2o$245b2o423b2o28$
382b2o149b2o$382b2o149b2o$245b2o423b2o$245b2o423b2o28$382b2o149b2o$
382b2o149b2o$245b2o423b2o$245b2o423b2o28$382b2o149b2o$382b2o149b2o$
245b2o423b2o$245b2o423b2o28$382b2o149b2o$382b2o149b2o$245b2o423b2o$
245b2o423b2o28$382b2o149b2o$382b2o149b2o$245b2o423b2o$245b2o423b2o28$
382b2o149b2o$382b2o149b2o$245b2o423b2o$245b2o423b2o28$382b2o149b2o$
382b2o149b2o$245b2o423b2o$245b2o423b2o28$382b2o149b2o$382b2o149b2o$
245b2o423b2o$245b2o423b2o28$382b2o149b2o$382b2o149b2o$245b2o423b2o$
245b2o423b2o28$382b2o149b2o$382b2o149b2o$245b2o423b2o$245b2o423b2o28$
382b2o149b2o$382b2o149b2o$245b2o423b2o$245b2o423b2o28$382b2o149b2o$
382b2o149b2o$245b2o423b2o$245b2o423b2o28$382b2o149b2o$382b2o149b2o$
245b2o423b2o$245b2o423b2o28$382b2o149b2o$382b2o149b2o$245b2o423b2o$
245b2o423b2o28$382b2o149b2o$382b2o149b2o$245b2o423b2o$245b2o423b2o28$
382b2o149b2o$382b2o149b2o$245b2o423b2o$245b2o423b2o19$b2o$2o$2bo7$382b
2o149b2o$382b2o149b2o$245b2o423b2o$245b2o423b2o17$61b2o$60b2o$62bo9$
382b2o149b2o$382b2o149b2o$245b2o423b2o$245b2o423b2o15$121b2o$120b2o$
122bo11$382b2o149b2o$382b2o149b2o$245b2o423b2o$245b2o423b2o13$181b2o$
180b2o$182bo13$382b2o149b2o$382b2o149b2o$245b2o423b2o$245b2o423b2o11$
241b2o$240b2o$242bo7$540b3o2$540bobo134b3o$539bo$539bo3bo133bobo$676bo
$539b2o2bo132bo3bo2$374b3o299b2o2bo$373bo2bo$237b3o133b2obo$236bo2bo
144b2o145b2o$236b2obo144b2o145b2o8b2o$247b2o292b2o125b2o$247b2o419b2o
8b2o$678b2o$384bo$382bobo$247bo135b2o147bo$245bobo282bo2bo$246b2o53b2o
226b2o138bo$300b2o226bo3bo134bo2bo$302bo83b2o141bo2bo133b2o$386b2o142b
2o133bo3bo$249b2o415bo2bo$249b2o416b2o5$382b2o149b2o$382b2o149b2o$245b
2o423b2o$245b2o423b2o10$374b2o165b2o$374b2o165b2o$237b2o439b2o$237b2o
439b2o3$361b2o$360b2o$362bo5$431bo$432b2o$294bo136b2o$295b2o$294b2o
184bo$382b2o95bo53b2o$382b2o95b3o51b2o82bo$245b2o369bo53b2o$245b2o369b
3o51b2o10$374b2o165b2o$374b2o165b2o$237b2o439b2o$237b2o439b2o$421b2o$
420b2o$422bo$326bo$326bobo$189bo136b2o$189bobo$189b2o402bo$594b2o$593b
2o5$382b2o149b2o$382b2o149b2o$245b2o423b2o$245b2o423b2o10$374b2o165b2o
$374b2o165b2o$237b2o439b2o$237b2o439b2o15$382b2o149b2o$382b2o149b2o$
245b2o423b2o$245b2o423b2o10$374b2o165b2o$374b2o165b2o$237b2o439b2o$
237b2o439b2o10$354bo$355b2o$354b2o2$557bo$382b2o149b2o21bo$382b2o149b
2o21b3o$245b2o423b2o$245b2o423b2o10$374b2o165b2o$374b2o165b2o$237b2o
439b2o$237b2o439b2o2$266bo$266bobo$129bo136b2o$129bobo$129b2o522bo$
654b2o$653b2o7$382b2o149b2o$382b2o149b2o$245b2o423b2o$245b2o423b2o12$
237b2o439b2o$237b2o439b2o15$382b2o149b2o$382b2o149b2o$245b2o423b2o$
245b2o423b2o18$91b3o3$126b3o$126bo$127bo5$382b2o149b2o$382b2o149b2o$
245b2o423b2o$245b2o423b2o18$91b3o$186b3o$186bo$187bo7$382b2o149b2o$
382b2o149b2o$245b2o423b2o$245b2o423b2o17$246b3o$91b3o152bo$247bo8$376b
3o2$239b3o134bo163b2o$375b4o160bo2bo$239bo134b5o5b2o145b2o6bo137b2o$
238b4o132b2o3bo4b2o145b2o7bo3bo131bo2bo$237b5o5b2o127b3o161bo127b2o6bo
$237b2o3bo4b2o285bo6b4o123b2o7bo3bo$239b3o291bo6b2o135bo$533b3o135bo6b
4o$670bo6b2o$670b3o3$373b2o$374bobo9b2o141b2o$236b2o137bo10b2o141b2o$
237bobo9b2o415b2o$238bo10b2o415b2o$306b3o$306bo$307bo$91b3o$382b2o149b
2o$382b2o149b2o$245b2o423b2o$245b2o423b2o10$374b2o165b2o$374b2o165b2o$
237b2o439b2o$237b2o439b2o4$426bo$427bo$289bo135b3o$290bo$288b3o$366b3o
116bobo$366bo118b2o$367bo118bo135bobo$622b2o$623bo$91b3o$382b2o149b2o$
382b2o149b2o$245b2o423b2o$245b2o423b2o10$374b2o165b2o$333bo40b2o165b2o
$237b2o92b2o345b2o$196bo40b2o93b2o344b2o$194b2o$195b2o391bo$589bo$587b
3o3$426b3o$426bo$427bo5$91b3o$382b2o149b2o$382b2o149b2o$245b2o423b2o$
245b2o423b2o10$374b2o165b2o$374b2o165b2o$237b2o439b2o$237b2o439b2o14$
91b3o$382b2o149b2o$382b2o149b2o$245b2o423b2o$245b2o423b2o10$374b2o165b
2o$374b2o165b2o$237b2o439b2o$237b2o439b2o4$349bo$350bo$348b3o3$562bobo
$562b2o$563bo3$91b3o$382b2o149b2o$382b2o149b2o$245b2o423b2o$245b2o423b
2o9$273bo$271b2o101b2o165b2o$136bo135b2o100b2o165b2o$134b2o101b2o439b
2o$135b2o100b2o409bo29b2o$649bo$647b3o12$91b3o$382b2o149b2o$382b2o149b
2o$245b2o423b2o$245b2o423b2o12$237b2o439b2o$237b2o439b2o14$91b3o!

Here's a diagram of what the 31c/240 spaceship will resemble:

Image
A NW-directed glider from the east side is reflected 180° by a stream of N-directed *WSSes on the west side to collide with another NW-directed glider, synthesising a single track of blocks on the west side. A Herschel moves along this, producing some dirty output that can be cleaned by more waves of NW-directed gliders from the east side. The glider output of this Herschel collides with another wave of NW-directed gliders to build an adjacent track of blocks. Repeating this process, we can get many parallel block tracks.

Once we have eight correctly-positioned block tracks, we can support clean 31c/240 forerakes, backrakes and rephasers. We can get arbitrary positioning (since 31 is nice and coprime with the shift caused by each Herschel-based rake) and arbitrary phasing (since the block tracks are period-1), so we should be able to construct absolutely anything with appropriate combinations of forerakes, backrakes and rephasers. In particular, we can provide the forward wave of *WSSes.

Anyone care to work on sorting out the next few problems on the way to a 31c/240 spaceship -- say, the Herschel-pair placements and timings needed to suppress the output gliders on the right side of the forward rake, or the details of the LWSS and glider interactions that will be needed at the nose of the spaceship?
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Re: 31c/240 caterpillar working notes

Postby dvgrn » January 7th, 2014, 5:13 pm

dvgrn wrote:Anyone care to work on sorting out the next few problems on the way to a 31c/240 spaceship -- say, the Herschel-pair placements and timings needed to suppress the output gliders on the right side of the forward rake, or the details of the LWSS and glider interactions that will be needed at the nose of the spaceship?

Looking at this again, 31c/240 is a nice slow speed -- LWSSes might not even be needed.

An alternate spaceship design might look like this:
Image
Each of the four blue corners marked by the X's would need to contain some target object, which will be hit by a glider salvo that plays the role of a Caterpillar helix. The target will have to be pushed (0,-31) in 240 ticks or less, while emitting a 90-degree output glider. I've shown only four block trails, though probably the full spaceship will need more -- eight trails seems like a likely minimum (?).

It seems possible that a fairly simple glider salvo could manage this trick, perhaps in several asynchronous stages. I don't quite have a fast enough (0,-31) block move in my slow-salvo libraries, so here's a trial run with a shorter step size, just to show the idea:

#C asynchronous (0,-22) glider helix
x = 167, y = 158, rule = LifeHistory
2D$2D21$2D$2D20$5.A$2E2.2A$2E2.A.A6$19.2A$18.2A$20.A6$18.2A$17.2A$19.
A8$26.3A$26.A$27.A2$44.3A$38.3A3.A$38.A6.A$31.2A6.A$30.2A$32.A12.A$
38.A5.2A$37.2A5.A.A$37.A.A25.A$64.2A$64.A.A6$79.2A$78.2A$80.A6$78.2A$
77.2A$79.A8$86.3A$86.A$87.A2$104.3A$98.3A3.A$98.A6.A$91.2A6.A$90.2A$
92.A12.A$98.A5.2A$97.2A5.A.A$97.A.A25.A$124.2A$124.A.A6$139.2A$138.2A
$140.A6$138.2A$137.2A$139.A8$146.3A$146.A$147.A2$164.3A$158.3A3.A$
158.A6.A$151.2A6.A$150.2A$152.A12.A$158.A5.2A$157.2A5.A.A$157.A.A!

Might this be simpler than the LWSS-based design?

I don't know yet exactly how to get Herschel-pair climbers to generate this kind of salvo, though. Wondered if it might work to incrementally build Blockic salvo seeds along each side of the block trails, then trigger them every 240 ticks. It might not be necessary to do any of the period-multiplying tricks required by the original Caterpillar -- though 240 ticks does seem a bit tight, at least for a Blockic salvo seed that has to fit inside a 31-cell band.
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Re: 31c/240 caterpillar working notes

Postby Sphenocorona » January 7th, 2014, 10:02 pm

I think a combination of the helix and block pusher ideas could also work; for each lane in the final construction, generate a small stream of xWSS's traveling forward. Later a glider moving outward and forward can hit the front of the stream, creating a glider that will fly back to create a block in the track. This should be fairly simple to implement, as if I'm not mistaken the necessary ship salvos for turning gliders already exist.

EDIT: Here is what the front of one support stream might look like (this setup would work, the question is if it can be improved):
x = 188, y = 292, rule = B3/S23
180b2o$181b2o$180bo6$183b3o$183bo2bo$183bo$183bo3bo$183bo$184bobo5$
181b3o$181bo2bo$181bo$181bo3bo$181bo3bo$181bo$182bobo5$120b2o$121b2o$
120bo27$60b2o$61b2o$60bo27$2o$b2o$o8$183b3o$183bo2bo$183bo$183bo3bo$
183bo$184bobo5$181b3o$181bo2bo$181bo$181bo3bo$181bo3bo$181bo$182bobo
73$183b3o$183bo2bo$183bo$183bo3bo$183bo$184bobo5$181b3o$181bo2bo$181bo
$181bo3bo$181bo3bo$181bo$182bobo73$183b3o$183bo2bo$183bo$183bo3bo$183b
o$184bobo5$181b3o$181bo2bo$181bo$181bo3bo$181bo3bo$181bo$182bobo!
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Re: 31c/240 caterpillar working notes

Postby dvgrn » January 8th, 2014, 11:49 am

Sphenocorona wrote:I think a combination of the helix and block pusher ideas could also work.

Yes, I suppose that's simpler than most of my Rube Goldbergian ideas for reflecting gliders -- at least until proven otherwise!

Sphenocorona wrote:Here is what the front of one support stream might look like (this setup would work, the question is if it can be improved):

Well, it's probably worth avoiding the HWSS, anyway. Gabriel Nivasch's Caterpillar spaceship constructs *WSSes like this:

#C One-sided ship syntheses
x = 234, y = 134, rule = B3/S23
4bo97bo123bo$5bo97b2o122b2o$3b3o96b2o122b2o3$4bo$5b2o$4b2o3$107bobo$
108b2o114b2o$108bo114bobo$225bo10$105b2o$106b2o$105bo6$7bo$7b2o$6bobo$
102b2o$103b2o$102bo$bo$b2o$obo35$197bobo$198b2o$198bo10$210bo$208bobo$
209b2o4$212bo$213bo$211b3o10$233bo$231b3o$230bo$230b2o24$214b2o$215b2o
$214bo!

So LWSS and MWSS each need four gliders synchronized in pairs, but HWSS are a good bit more difficult. A few seconds with the Seeds of Destruction game turns up an equivalent all-LWSS glider turner:

#C sample G+2LWSS -> reflected G
x = 194, y = 284, rule = B3/S23
180b2o$181b2o$180bo6$183b3o$183bo2bo$183bo$183bo$184bobo3b3o$190bo2bo$
190bo$190bo$191bobo13$120b2o$121b2o$120bo27$60b2o$61b2o$60bo27$2o$b2o$
o8$183b3o$183bo2bo$183bo$183bo$184bobo3b3o$190bo2bo$190bo$190bo$191bob
o81$183b3o$183bo2bo$183bo$183bo$184bobo3b3o$190bo2bo$190bo$190bo$191bo
bo81$183b3o$183bo2bo$183bo$183bo$184bobo3b3o$190bo2bo$190bo$190bo$191b
obo!

If MWSSes turn out to be more convenient (though I don't see why they would, offhand -- the LWSS's intermediate block seems easier to work with than an intermediate blinker) then pairs of glider-reflecting MWSSes are just as easy to find. No doubt an exhaustive gencols search can turn up dozens or hundreds of these things:

#C sample G+2MWSS -> reflected G
x = 195, y = 296, rule = B3/S23
180b2o$181b2o$180bo6$192bo$191b3o$191bob2o$192b3o$192b3o$192b2o10$185b
o$184b3o$184bob2o$185b3o$185b3o$185b2o$120b2o$121b2o$120bo27$60b2o$61b
2o$60bo27$2o$b2o$o8$192bo$191b3o$191bob2o$192b3o$192b3o$192b2o10$185bo
$184b3o$184bob2o$185b3o$185b3o$185b2o69$192bo$191b3o$191bob2o$192b3o$
192b3o$192b2o10$185bo$184b3o$184bob2o$185b3o$185b3o$185b2o69$192bo$
191b3o$191bob2o$192b3o$192b3o$192b2o10$185bo$184b3o$184bob2o$185b3o$
185b3o$185b2o!
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Re: 31c/240 caterpillar working notes

Postby kiho park » January 8th, 2014, 10:22 pm

Design I was made is like this.
#BaseTrack
x = 213, y = 1749, rule = B3/S23
51$133b2o56b2o$133b2o56b2o11$26b2o56b2o$26b2o56b2o18$133b2o56b2o$133b
2o56b2o11$26b2o56b2o$26b2o56b2o18$133b2o56b2o$133b2o56b2o11$26b2o56b2o
$26b2o56b2o18$133b2o56b2o$133b2o56b2o11$26b2o56b2o$26b2o56b2o18$133b2o
56b2o$133b2o56b2o11$26b2o56b2o$26b2o56b2o18$133b2o56b2o$133b2o56b2o11$
26b2o56b2o$26b2o56b2o18$133b2o56b2o$133b2o56b2o11$26b2o56b2o$26b2o56b
2o18$133b2o56b2o$133b2o56b2o11$26b2o56b2o$26b2o56b2o18$133b2o56b2o$
133b2o56b2o11$26b2o56b2o$26b2o56b2o18$133b2o56b2o$133b2o56b2o11$26b2o
56b2o$26b2o56b2o18$133b2o56b2o$133b2o56b2o11$26b2o56b2o$26b2o56b2o18$
133b2o56b2o$133b2o56b2o11$26b2o56b2o$26b2o56b2o18$133b2o56b2o$133b2o
56b2o11$26b2o56b2o$26b2o56b2o18$133b2o56b2o$133b2o56b2o11$26b2o56b2o$
26b2o56b2o18$133b2o56b2o$133b2o56b2o11$26b2o56b2o$26b2o56b2o18$133b2o
56b2o$133b2o56b2o11$26b2o56b2o$26b2o56b2o18$133b2o56b2o$133b2o56b2o11$
26b2o56b2o$26b2o56b2o18$133b2o56b2o$133b2o56b2o11$26b2o56b2o$26b2o56b
2o18$133b2o56b2o$133b2o56b2o11$26b2o56b2o$26b2o56b2o18$133b2o56b2o$
133b2o56b2o11$26b2o56b2o$26b2o56b2o18$133b2o56b2o$133b2o56b2o11$26b2o
56b2o$26b2o56b2o18$133b2o56b2o$133b2o56b2o11$26b2o56b2o$26b2o56b2o18$
133b2o56b2o$133b2o56b2o11$26b2o56b2o$26b2o56b2o18$133b2o56b2o$133b2o
56b2o11$26b2o56b2o$26b2o56b2o18$133b2o56b2o$133b2o56b2o11$26b2o56b2o$
26b2o56b2o18$133b2o56b2o$133b2o56b2o11$26b2o56b2o$26b2o56b2o18$133b2o
56b2o$133b2o56b2o11$26b2o56b2o$26b2o56b2o18$133b2o56b2o$133b2o56b2o11$
26b2o56b2o$26b2o56b2o18$133b2o56b2o$133b2o56b2o11$26b2o56b2o$26b2o56b
2o18$133b2o56b2o$133b2o56b2o11$26b2o56b2o$26b2o56b2o18$133b2o56b2o$
133b2o56b2o11$26b2o56b2o$26b2o56b2o18$133b2o56b2o$133b2o56b2o11$26b2o
56b2o$26b2o56b2o18$133b2o56b2o$133b2o56b2o11$26b2o56b2o$26b2o56b2o18$
133b2o56b2o$133b2o56b2o11$26b2o56b2o$26b2o56b2o18$133b2o56b2o$133b2o
56b2o11$26b2o56b2o$26b2o56b2o18$133b2o56b2o$133b2o56b2o11$26b2o56b2o$
26b2o56b2o18$133b2o56b2o$133b2o56b2o11$26b2o56b2o$26b2o56b2o18$133b2o
56b2o$133b2o56b2o11$26b2o56b2o$26b2o56b2o18$133b2o56b2o$133b2o56b2o11$
26b2o56b2o$26b2o56b2o18$133b2o56b2o$133b2o56b2o11$26b2o56b2o$26b2o56b
2o18$133b2o56b2o$133b2o56b2o11$26b2o56b2o$26b2o56b2o18$133b2o56b2o$
133b2o56b2o11$26b2o56b2o$26b2o56b2o18$133b2o56b2o$133b2o56b2o11$26b2o
56b2o$26b2o56b2o18$133b2o56b2o$133b2o56b2o11$26b2o56b2o$26b2o56b2o18$
133b2o56b2o$133b2o56b2o11$26b2o56b2o$26b2o56b2o18$133b2o56b2o$133b2o
56b2o11$26b2o56b2o$26b2o56b2o18$133b2o56b2o$133b2o56b2o11$26b2o56b2o$
26b2o56b2o18$133b2o56b2o$133b2o56b2o11$26b2o56b2o$26b2o56b2o18$133b2o
56b2o$133b2o56b2o11$26b2o56b2o$26b2o56b2o18$133b2o56b2o$133b2o56b2o11$
26b2o56b2o$26b2o56b2o18$133b2o56b2o$133b2o56b2o11$26b2o56b2o$26b2o56b
2o5$136b3o$136bo2bo$135bo2b2o$135b2o2$139bo43b3o$140b2o42bo$139b2o43b
3o6$30b2o$28b2obo$28b2o$30b2o$32b2o42b3o62b2o40b2o$77bo63b2o40b2o$31bo
bo43b3o$32bo9$34b2o40b2o$34b2o40b2o5$133b2o56b2o$133b2o56b2o11$26b2o
56b2o$26b2o56b2o55b2o40b2o$141b2o40b2o11$34b2o40b2o$34b2o40b2o5$133b2o
56b2o$133b2o56b2o11$26b2o56b2o$26b2o56b2o!





Now, We should come up with how to remove Useless Glider stream.
For that, I used 3 BaseTracks to remove gliders. It's not emit any gliders only shift block tracks.
#ShiftingTrack
x = 543, y = 1664, rule = B3/S23
461b2o56b2o$461b2o56b2o4$22b2o56b2o$22b2o56b2o22$244b2o56b2o$244b2o56b
2o2$461b2o56b2o$461b2o56b2o4$22b2o56b2o$22b2o56b2o22$244b2o56b2o$244b
2o56b2o2$461b2o56b2o$461b2o56b2o4$22b2o56b2o$22b2o56b2o22$244b2o56b2o$
244b2o56b2o2$461b2o56b2o$461b2o56b2o4$22b2o56b2o$22b2o56b2o22$244b2o
56b2o$244b2o56b2o2$461b2o56b2o$461b2o56b2o4$22b2o56b2o$22b2o56b2o22$
244b2o56b2o$244b2o56b2o2$461b2o56b2o$461b2o56b2o4$22b2o56b2o$22b2o56b
2o22$244b2o56b2o$244b2o56b2o2$461b2o56b2o$461b2o56b2o4$22b2o56b2o$22b
2o56b2o22$244b2o56b2o$244b2o56b2o2$461b2o56b2o$461b2o56b2o4$22b2o56b2o
$22b2o56b2o22$244b2o56b2o$244b2o56b2o2$461b2o56b2o$461b2o56b2o4$22b2o
56b2o$22b2o56b2o22$244b2o56b2o$244b2o56b2o2$461b2o56b2o$461b2o56b2o4$
22b2o56b2o$22b2o56b2o22$244b2o56b2o$244b2o56b2o2$461b2o56b2o$461b2o56b
2o4$22b2o56b2o$22b2o56b2o22$244b2o56b2o$244b2o56b2o2$461b2o56b2o$461b
2o56b2o4$22b2o56b2o$22b2o56b2o22$244b2o56b2o$244b2o56b2o2$461b2o56b2o$
461b2o56b2o4$22b2o56b2o$22b2o56b2o22$244b2o56b2o$244b2o56b2o2$461b2o
56b2o$461b2o56b2o4$22b2o56b2o$22b2o56b2o22$244b2o56b2o$244b2o56b2o2$
461b2o56b2o$461b2o56b2o4$22b2o56b2o$22b2o56b2o22$244b2o56b2o$244b2o56b
2o2$461b2o56b2o$461b2o56b2o4$22b2o56b2o$22b2o56b2o22$244b2o56b2o$244b
2o56b2o2$461b2o56b2o$461b2o56b2o4$22b2o56b2o$22b2o56b2o22$244b2o56b2o$
244b2o56b2o2$461b2o56b2o$461b2o56b2o4$22b2o56b2o$22b2o56b2o22$244b2o
56b2o$244b2o56b2o2$461b2o56b2o$461b2o56b2o4$22b2o56b2o$22b2o56b2o22$
244b2o56b2o$244b2o56b2o2$461b2o56b2o$461b2o56b2o4$22b2o56b2o$22b2o56b
2o22$244b2o56b2o$244b2o56b2o2$461b2o56b2o$461b2o56b2o4$22b2o56b2o$22b
2o56b2o22$244b2o56b2o$244b2o56b2o2$461b2o56b2o$461b2o56b2o4$22b2o56b2o
$22b2o56b2o22$244b2o56b2o$244b2o56b2o2$461b2o56b2o$461b2o56b2o4$22b2o
56b2o$22b2o56b2o22$244b2o56b2o$244b2o56b2o2$461b2o56b2o$461b2o56b2o4$
22b2o56b2o$22b2o56b2o22$244b2o56b2o$244b2o56b2o2$461b2o56b2o$461b2o56b
2o4$22b2o56b2o$22b2o56b2o22$244b2o56b2o$244b2o56b2o2$461b2o56b2o$461b
2o56b2o4$22b2o56b2o$22b2o56b2o22$244b2o56b2o$244b2o56b2o2$461b2o56b2o$
461b2o56b2o4$22b2o56b2o$22b2o56b2o22$244b2o56b2o$244b2o56b2o2$461b2o
56b2o$461b2o56b2o4$22b2o56b2o$22b2o56b2o22$244b2o56b2o$244b2o56b2o2$
461b2o56b2o$461b2o56b2o4$22b2o56b2o$22b2o56b2o22$244b2o56b2o$244b2o56b
2o2$461b2o56b2o$461b2o56b2o4$22b2o56b2o$22b2o56b2o22$244b2o56b2o$244b
2o56b2o2$461b2o56b2o$461b2o56b2o4$22b2o56b2o$22b2o56b2o22$244b2o56b2o$
244b2o56b2o2$461b2o56b2o$461b2o56b2o4$22b2o56b2o$22b2o56b2o22$244b2o
56b2o$244b2o56b2o2$461b2o56b2o$461b2o56b2o4$22b2o56b2o$22b2o56b2o22$
244b2o56b2o$244b2o56b2o2$461b2o56b2o$461b2o56b2o4$22b2o56b2o$22b2o56b
2o22$244b2o56b2o$244b2o56b2o2$461b2o56b2o$461b2o56b2o4$22b2o56b2o$22b
2o56b2o22$244b2o56b2o$244b2o56b2o2$461b2o56b2o$461b2o56b2o4$22b2o56b2o
$22b2o56b2o22$244b2o56b2o$244b2o56b2o2$461b2o56b2o$461b2o56b2o4$22b2o
56b2o$22b2o56b2o22$244b2o56b2o$244b2o56b2o2$461b2o56b2o$461b2o56b2o4$
22b2o56b2o$22b2o56b2o22$244b2o56b2o$244b2o56b2o2$461b2o56b2o$461b2o56b
2o4$22b2o56b2o$22b2o56b2o22$244b2o56b2o$244b2o56b2o2$461b2o56b2o$461b
2o56b2o4$22b2o56b2o$22b2o56b2o22$244b2o56b2o$244b2o56b2o2$461b2o56b2o$
461b2o56b2o4$22b2o56b2o$22b2o56b2o22$244b2o56b2o$244b2o56b2o2$461b2o
56b2o$461b2o56b2o4$22b2o56b2o$22b2o56b2o22$244b2o56b2o$244b2o56b2o2$
461b2o56b2o$461b2o56b2o4$22b2o56b2o$22b2o56b2o22$244b2o56b2o$244b2o56b
2o2$461b2o56b2o$461b2o56b2o4$22b2o56b2o$22b2o56b2o22$244b2o56b2o$244b
2o56b2o2$461b2o56b2o$461b2o56b2o4$22b2o56b2o$22b2o56b2o22$244b2o56b2o$
244b2o56b2o2$461b2o56b2o$461b2o56b2o4$22b2o56b2o$22b2o56b2o22$244b2o
56b2o$244b2o56b2o2$519b2o$460b2obo55b2o$460bo2bo4b2o$463bo4bo$463bob3o
52bo4bo$22b2o435b3ob2o2bo47bo3bobo2bo2bo$22b2o55bo379b3obo3bo45b2obo2b
ob2obo3bo$73b2o4b5o380b2o47b2ob2o2b2o3bo2bo$72bobo5b2o430bo3bo$17bo4bo
484b4ob5o$15b3o3bobo51b4ob2o2bo416b3o3bo3b2o16b2o$15b2obo2bobo2b3o43bo
2b4o3b2o392b5o27b2o2bobobo10b2o2bo$14bo2bo3b2o3bob2o47bo399b3o31bo5bo
8bo3b3o$15bo10bo3bo425b2o20bo31b2ob2o2bo7b2o4bo$27b2obo3bo5bo407bo6bo
2bo51b2o4bo6b2obob3o$12b2o13bo3b3ob2o3bo22bo2bo382b2o4b2obo52bo2bo8b2o
b2o$11bo2bo11b4o2b2o6bo21bo3bo382b5o3bo54b3o8b2ob2o$11b2ob2o10bo4bo31b
obo384bo2bo59bo11b2o$11bo2b3o9b6o32bo20b2o364b4obo80bobo$12b2o2bobo7b
2o3bo53b2o7b2o359bo82b2o$16bob2o8bo2bo52bobo6bo362bo81bo$16bobo9b3o52b
o2bo3bob2o$4bo11b2o71b2o347bo22b2o56b2o$3bo83bo2b2o345bo23b2o56b2o$3b
3o79bobo349b3o$86bo2$22b2o56b2o21bo$22b2o56b2o22b2o138b2o56b2o$103b2o
139b2o56b2o6$469b2o40b2o$469b2o40b2o$247b2o$246bo$245bo3b3o$30b2o40b2o
171bo2b5o$30b2o40b2o171b2o5b2o$251b2o241bo$245b2o246bo$493b3o$248bo50b
o240b3o$245b3o50b3o241bo$47bo249bo2b2o189bo49bo$48b2o247b3obo190b2o$
47b2o251b2o189b2o$b2o241b2o$2o242b2o50bo$2bo47bo244bo$50bobo242b3o163b
2o56b2o$50b2o409b2o56b2o2$255bo$256b2o$22b2o56b2o173b2o$22b2o56b2o4$
252b2o40b2o$252b2o40b2o2$469b2o40b2o$469b2o40b2o4$30b2o40b2o$30b2o40b
2o2$480b3o$482bo$481bo3$61b2o$60b2o$62bo181b2o56b2o$244b2o56b2o2$461b
2o56b2o$461b2o56b2o4$22b2o56b2o$22b2o56b2o4$252b2o40b2o$252b2o40b2o8$
420b3o$422bo$421bo3$121b2o$120b2o$122bo2$244b2o56b2o$244b2o56b2o74bo$
377bo$377b3o81b2o56b2o$461b2o56b2o2$163bo197bobo$164b2o196b2o$22b2o56b
2o81b2o197bo$22b2o56b2o$180bo$179bo$179b3o19$244b2o56b2o$244b2o56b2o2$
461b2o56b2o$461b2o56b2o4$22b2o56b2o$22b2o56b2o22$244b2o56b2o$244b2o56b
2o2$461b2o56b2o$461b2o56b2o4$22b2o56b2o$22b2o56b2o22$244b2o56b2o$244b
2o56b2o2$461b2o56b2o$461b2o56b2o4$22b2o56b2o$22b2o56b2o22$244b2o56b2o$
244b2o56b2o!


Now remained problem is just building Forward/Backward Rakes.
Fortunately, there is good way to make it.
#A Forward-Rake which made by Two Backward-Rakes
x = 1734, y = 1760, rule = B3/S23
448b2o56b2o$448b2o56b2o3$1225b2o56b2o$1225b2o56b2o5$4b2o56b2o$4b2o56b
2o3$1669b2o56b2o$1669b2o56b2o13$231b2o56b2o$231b2o56b2o2$448b2o56b2o$
448b2o56b2o934b2o56b2o$1442b2o56b2o2$1225b2o56b2o$1225b2o56b2o5$4b2o
56b2o$4b2o56b2o3$1669b2o56b2o$1669b2o56b2o13$231b2o56b2o$231b2o56b2o2$
448b2o56b2o$448b2o56b2o934b2o56b2o$1442b2o56b2o2$1225b2o56b2o$1225b2o
56b2o5$4b2o56b2o$4b2o56b2o3$1669b2o56b2o$1669b2o56b2o13$231b2o56b2o$
231b2o56b2o2$448b2o56b2o$448b2o56b2o934b2o56b2o$1442b2o56b2o2$1225b2o
56b2o$1225b2o56b2o5$4b2o56b2o$4b2o56b2o3$1669b2o56b2o$1669b2o56b2o13$
231b2o56b2o$231b2o56b2o2$448b2o56b2o$448b2o56b2o934b2o56b2o$1442b2o56b
2o2$1225b2o56b2o$1225b2o56b2o5$4b2o56b2o$4b2o56b2o3$1669b2o56b2o$1669b
2o56b2o13$231b2o56b2o$231b2o56b2o2$448b2o56b2o$448b2o56b2o934b2o56b2o$
1442b2o56b2o2$1225b2o56b2o$1225b2o56b2o5$4b2o56b2o$4b2o56b2o3$1669b2o
56b2o$1669b2o56b2o13$231b2o56b2o$231b2o56b2o2$448b2o56b2o$448b2o56b2o
934b2o56b2o$1442b2o56b2o2$1225b2o56b2o$1225b2o56b2o5$4b2o56b2o$4b2o56b
2o3$1669b2o56b2o$1669b2o56b2o13$231b2o56b2o$231b2o56b2o2$448b2o56b2o$
448b2o56b2o934b2o56b2o$1442b2o56b2o2$1225b2o56b2o$1225b2o56b2o5$4b2o
56b2o$4b2o56b2o3$1669b2o56b2o$1669b2o56b2o13$231b2o56b2o$231b2o56b2o2$
448b2o56b2o$448b2o56b2o934b2o56b2o$1442b2o56b2o2$1225b2o56b2o$1225b2o
56b2o5$4b2o56b2o$4b2o56b2o3$1669b2o56b2o$1669b2o56b2o13$231b2o56b2o$
231b2o56b2o2$448b2o56b2o$448b2o56b2o934b2o56b2o$1442b2o56b2o2$1225b2o
56b2o$1225b2o56b2o5$4b2o56b2o$4b2o56b2o3$1669b2o56b2o$1669b2o56b2o13$
231b2o56b2o$231b2o56b2o2$448b2o56b2o$448b2o56b2o934b2o56b2o$1442b2o56b
2o2$1225b2o56b2o$1225b2o56b2o5$4b2o56b2o$4b2o56b2o3$1669b2o56b2o$1669b
2o56b2o13$231b2o56b2o$231b2o56b2o2$448b2o56b2o$448b2o56b2o934b2o56b2o$
1442b2o56b2o2$1225b2o56b2o$1225b2o56b2o5$4b2o56b2o$4b2o56b2o3$1669b2o
56b2o$1669b2o56b2o13$231b2o56b2o$231b2o56b2o2$448b2o56b2o$448b2o56b2o
934b2o56b2o$1442b2o56b2o2$1225b2o56b2o$1225b2o56b2o5$4b2o56b2o$4b2o56b
2o3$1669b2o56b2o$1669b2o56b2o13$231b2o56b2o$231b2o56b2o2$448b2o56b2o$
448b2o56b2o934b2o56b2o$1442b2o56b2o2$1225b2o56b2o$1225b2o56b2o5$4b2o
56b2o$4b2o56b2o3$1669b2o56b2o$1669b2o56b2o13$231b2o56b2o$231b2o56b2o2$
448b2o56b2o$448b2o56b2o934b2o56b2o$1442b2o56b2o2$1225b2o56b2o$1225b2o
56b2o5$4b2o56b2o$4b2o56b2o3$1669b2o56b2o$1669b2o56b2o13$231b2o56b2o$
231b2o56b2o2$448b2o56b2o$448b2o56b2o934b2o56b2o$1442b2o56b2o2$1225b2o
56b2o$1225b2o56b2o5$4b2o56b2o$4b2o56b2o3$1669b2o56b2o$1669b2o56b2o13$
231b2o56b2o$231b2o56b2o2$448b2o56b2o$448b2o56b2o934b2o56b2o$1442b2o56b
2o2$1225b2o56b2o$1225b2o56b2o5$4b2o56b2o$4b2o56b2o3$1669b2o56b2o$1669b
2o56b2o13$231b2o56b2o$231b2o56b2o2$448b2o56b2o$448b2o56b2o934b2o56b2o$
1442b2o56b2o2$1225b2o56b2o$1225b2o56b2o5$4b2o56b2o$4b2o56b2o3$1669b2o
56b2o$1669b2o56b2o13$231b2o56b2o$231b2o56b2o2$448b2o56b2o$448b2o56b2o
934b2o56b2o$1442b2o56b2o2$1225b2o56b2o$1225b2o56b2o5$4b2o56b2o$4b2o56b
2o3$1669b2o56b2o$1669b2o56b2o13$231b2o56b2o$231b2o56b2o2$448b2o56b2o$
448b2o56b2o934b2o56b2o$1442b2o56b2o2$1225b2o56b2o$1225b2o56b2o5$4b2o
56b2o$4b2o56b2o3$1669b2o56b2o$1669b2o56b2o13$231b2o56b2o$231b2o56b2o2$
448b2o56b2o$448b2o56b2o934b2o56b2o$1442b2o56b2o2$1225b2o56b2o$1225b2o
56b2o5$4b2o56b2o$4b2o56b2o3$1669b2o56b2o$1669b2o56b2o13$231b2o56b2o$
231b2o56b2o2$448b2o56b2o$448b2o56b2o934b2o56b2o$1442b2o56b2o2$1225b2o
56b2o$1225b2o56b2o5$4b2o56b2o$4b2o56b2o3$1669b2o56b2o$1669b2o56b2o13$
231b2o56b2o$231b2o56b2o2$448b2o56b2o$448b2o56b2o934b2o56b2o$1442b2o56b
2o2$1225b2o56b2o$1225b2o56b2o5$4b2o56b2o$4b2o56b2o3$1669b2o56b2o$1669b
2o56b2o13$231b2o56b2o$231b2o56b2o2$448b2o56b2o$448b2o56b2o934b2o56b2o$
1442b2o56b2o2$1225b2o56b2o$1225b2o56b2o5$4b2o56b2o$4b2o56b2o3$1669b2o
56b2o$1669b2o56b2o13$231b2o56b2o$231b2o56b2o2$448b2o56b2o$448b2o56b2o
934b2o56b2o$1442b2o56b2o2$1225b2o56b2o$1225b2o56b2o5$4b2o56b2o$4b2o56b
2o3$1669b2o56b2o$1669b2o56b2o13$231b2o56b2o$231b2o56b2o2$448b2o56b2o$
448b2o56b2o934b2o56b2o$1442b2o56b2o2$1225b2o56b2o$1225b2o56b2o5$4b2o
56b2o$4b2o56b2o3$1669b2o56b2o$1669b2o56b2o13$231b2o56b2o$231b2o56b2o2$
448b2o56b2o$448b2o56b2o934b2o56b2o$1442b2o56b2o2$1225b2o56b2o$1225b2o
56b2o5$4b2o56b2o$4b2o56b2o3$1669b2o56b2o$1669b2o56b2o13$231b2o56b2o$
231b2o56b2o2$448b2o56b2o$448b2o56b2o934b2o56b2o$1442b2o56b2o2$1225b2o
56b2o$1225b2o56b2o5$4b2o56b2o$4b2o56b2o3$1669b2o56b2o$1669b2o56b2o13$
231b2o56b2o$231b2o56b2o2$448b2o56b2o$448b2o56b2o934b2o56b2o$1442b2o56b
2o2$1225b2o56b2o$1225b2o56b2o5$4b2o56b2o$4b2o56b2o3$1669b2o56b2o$1669b
2o56b2o13$231b2o56b2o$231b2o56b2o2$448b2o56b2o$448b2o56b2o934b2o56b2o$
1442b2o56b2o2$1225b2o56b2o$1225b2o56b2o5$4b2o56b2o$4b2o56b2o3$1669b2o
56b2o$1669b2o56b2o13$231b2o56b2o$231b2o56b2o2$448b2o56b2o$448b2o56b2o
934b2o56b2o$1442b2o56b2o2$1225b2o56b2o$1225b2o56b2o5$4b2o56b2o$4b2o56b
2o3$1669b2o56b2o$1669b2o56b2o13$231b2o56b2o$231b2o56b2o2$448b2o56b2o$
448b2o56b2o934b2o56b2o$1442b2o56b2o2$1225b2o56b2o$1225b2o56b2o5$4b2o
56b2o$4b2o56b2o3$1669b2o56b2o$1669b2o56b2o13$231b2o56b2o$231b2o56b2o2$
448b2o56b2o$448b2o56b2o934b2o56b2o$1442b2o56b2o2$1225b2o56b2o$1225b2o
56b2o5$4b2o56b2o$4b2o56b2o3$1669b2o56b2o$1669b2o56b2o13$231b2o56b2o$
231b2o56b2o2$448b2o56b2o$448b2o56b2o934b2o56b2o$1442b2o56b2o2$1225b2o
56b2o$1225b2o56b2o5$4b2o56b2o$4b2o56b2o3$1669b2o56b2o$1669b2o56b2o13$
231b2o56b2o$231b2o56b2o2$448b2o56b2o$448b2o56b2o934b2o56b2o$1442b2o56b
2o2$1225b2o56b2o$1225b2o56b2o5$4b2o56b2o$4b2o56b2o3$1669b2o56b2o$1669b
2o56b2o13$231b2o56b2o$231b2o56b2o2$448b2o56b2o$448b2o56b2o934b2o56b2o$
1442b2o56b2o2$1225b2o56b2o$1225b2o56b2o5$4b2o56b2o$4b2o56b2o3$1669b2o
56b2o$1669b2o56b2o13$231b2o56b2o$231b2o56b2o2$448b2o56b2o$448b2o56b2o
934b2o56b2o$1442b2o56b2o2$1225b2o56b2o$1225b2o56b2o5$4b2o56b2o$4b2o56b
2o3$1669b2o56b2o$1669b2o56b2o13$231b2o56b2o$231b2o56b2o2$448b2o56b2o$
448b2o56b2o934b2o56b2o$1442b2o56b2o2$1225b2o56b2o$1225b2o56b2o5$4b2o
56b2o$4b2o56b2o3$1669b2o56b2o$1669b2o56b2o13$231b2o56b2o$231b2o56b2o2$
448b2o56b2o$448b2o56b2o934b2o56b2o$1442b2o56b2o2$1225b2o56b2o$1225b2o
56b2o5$4b2o56b2o$4b2o56b2o3$1669b2o56b2o$1669b2o56b2o13$231b2o56b2o$
231b2o56b2o2$448b2o56b2o$448b2o56b2o934b2o56b2o$1442b2o56b2o2$1225b2o
56b2o$1225b2o56b2o5$4b2o56b2o387b3o$4b2o56b2o387b3o$450bo3b2o$450b2o3b
o824bo$451bo3bo823bobo387b2o56b2o$451bo2bo827bo386b2o56b2o$451b3o823b
3o2bo$450bobo823b2o3b2o$450b2o825b2ob2o$502b3o773b2ob2o$502bo2bo773bo
2bo$502bo2bo773bo2bo$448b2o51b4o724bo51b2o$448b2o51b2o725b3o$500bo726b
o2b2o$501bo725bo$501bo726bo54b2o$459bo772bo50b2o$231b2o56b2o169bo769bo
bo$58b2o171b2o56b2o167b3o770b2o$58b2o$60bo$58b3o1211bobo167b2o56b2o$
12bo44bobo1212b2o168b2o56b2o171b2o$11b3o44b2o1213bo398bobo$11b3o43bo
398b2o40b2o1172bo$57bo398b2o40b2o1172bobo$10b4o41bo1619bo43b3o$10b5o
1658bobo$11bob2o1218b2o40b2o398bo43bobo$1233b2o40b2o399bo45bo$1718bo3b
o2$1718bo2b2o$2b2o$2b2o8b2o40b2o$12b2o40b2o2$1729b2o$1677b2o40b2o8b2o$
1677b2o40b2o$2bo$3b2o$2ob2o443b2o56b2o$2obo444b2o56b2o$o2bo1725bo$b2o
1725bo2bo$1225b2o56b2o446b2o$237bobo985b2o56b2o444bo3bo$236bo1492bo2bo
$237bo2bo44b3obo1440b2o$236b2obo51bo$229b2o4b3obo45b2o5bo$4b2o56b2o
165b2o4bo3bo47b2o3bo1153bo47b3o$4b2o56b2o171bo3bo42b3o6bo1154bo47b2o$
236bo45bobo1160bo46b2o3bo$281bo2bo171b2o40b2o940b2o3b2o45b2obobo4b2o$
281bobo172b2o40b2o940b2o3b5o42b2o3b2o3b2o165b2o56b2o$281b3o1164bobo45b
2o171b2o56b2o$1447b2ob2o$1233b2o40b2o171bo2bo$240bo992b2o40b2o171b2ob
2o$241bo1207bobo$227b2o12bo51b2o1155bo$227b2o64b2o2$12b2o40b2o1435b2o$
12b2o40b2o1382b2o64b2o$1438b2o64b2o2$8b2o1667b2o40b2o$8bobo220b2o56b2o
1386b2o40b2o$8bo222b2o56b2o2$448b2o56b2o1215b2o$448b2o56b2o934b2o56b2o
222b2o$1442b2o56b2o221bo2$1225b2o56b2o$566bo658b2o56b2o$564bobo$565b2o
2$1167bo$4b2o56b2o175b2o40b2o101bobo778b2o$4b2o56b2o175b2o40b2o101b2o
780b2o$385bo$329bo$121bo208bo1017bo101b2o40b2o175b2o56b2o$119bobo206b
3o1015bobo101b2o40b2o175b2o56b2o$120b2o1225b2o2$188bo1213bobo207bo$
186b2o1214b2o206b2o$187b2o1214bo207b2o2$1545bo$1546bo$1544b3o$68b2o$
68bobo$68bo$231b2o56b2o$231b2o56b2o1372b2o$1664b2o$448b2o56b2o1155bo$
448b2o56b2o934b2o56b2o$1442b2o56b2o2$1225b2o56b2o$1225b2o56b2o2$244bo$
242b2o$243b2o$4b2o56b2o175b2o$4b2o56b2o175b2o1248bo$1490bo$1488b3o$
1492b2o175b2o56b2o$1492b2o175b2o56b2o8$128b2o$128bobo$128bo2$1603b2o$
231b2o56b2o1313b2o$231b2o56b2o1312bo2$448b2o56b2o$448b2o56b2o934b2o56b
2o$1442b2o56b2o2$1225b2o56b2o$1225b2o56b2o5$4b2o56b2o$4b2o56b2o3$1669b
2o56b2o$1669b2o56b2o13$231b2o56b2o$231b2o56b2o2$448b2o56b2o$448b2o56b
2o934b2o56b2o$1442b2o56b2o$626bo$624bobo598b2o56b2o$625b2o598b2o56b2o
2$1107bo$1105b2o$1106b2o$4b2o56b2o$4b2o56b2o3$1669b2o56b2o$1669b2o56b
2o13$231b2o56b2o$231b2o56b2o2$448b2o56b2o$448b2o56b2o934b2o56b2o$1442b
2o56b2o2$1225b2o56b2o$1225b2o56b2o5$4b2o56b2o$4b2o56b2o3$1669b2o56b2o$
1669b2o56b2o13$231b2o56b2o$231b2o56b2o2$448b2o56b2o$448b2o56b2o934b2o
56b2o$1442b2o56b2o2$1225b2o56b2o$1225b2o56b2o5$4b2o56b2o$4b2o56b2o3$
1669b2o56b2o$1669b2o56b2o13$231b2o56b2o$231b2o56b2o2$448b2o56b2o$448b
2o56b2o178bo755b2o56b2o$684bobo755b2o56b2o$685b2o$1225b2o56b2o$1047bo
177b2o56b2o$1045b2o$1046b2o3$4b2o56b2o$4b2o56b2o3$1669b2o56b2o$1669b2o
56b2o13$231b2o56b2o$231b2o56b2o2$448b2o56b2o$448b2o56b2o934b2o56b2o$
1442b2o56b2o2$1225b2o56b2o$1225b2o56b2o5$4b2o56b2o$4b2o56b2o3$1669b2o
56b2o$1669b2o56b2o13$231b2o56b2o$231b2o56b2o2$448b2o56b2o$448b2o56b2o
934b2o56b2o$1442b2o56b2o2$1225b2o56b2o$1225b2o56b2o5$4b2o56b2o$4b2o56b
2o3$1669b2o56b2o$1669b2o56b2o13$231b2o56b2o$231b2o56b2o$746bo$448b2o
56b2o236bobo$448b2o56b2o237b2o695b2o56b2o$1442b2o56b2o$987bo$985b2o
238b2o56b2o$986b2o237b2o56b2o5$4b2o56b2o$4b2o56b2o3$1669b2o56b2o$1669b
2o56b2o13$231b2o56b2o$231b2o56b2o2$448b2o56b2o$448b2o56b2o934b2o56b2o$
1442b2o56b2o2$1225b2o56b2o$1225b2o56b2o5$4b2o56b2o$4b2o56b2o3$1669b2o
56b2o$1669b2o56b2o13$231b2o56b2o$231b2o56b2o2$448b2o56b2o$448b2o56b2o
934b2o56b2o$1442b2o56b2o2$1225b2o56b2o$1225b2o56b2o5$4b2o56b2o$4b2o56b
2o3$1669b2o56b2o$1669b2o56b2o13$231b2o56b2o515bo$231b2o56b2o513bobo$
805b2o2$927bo514b2o56b2o$925b2o515b2o56b2o$926b2o85$866bo$864bobo$865b
2o2$867bo$865b2o$866b2o!


In addition, Here is Both Version. It produces Forward and Backward gliders
#Forward and Backward Rakes in one
x = 510, y = 1664, rule = B3/S23
443b2o56b2o$443b2o56b2o4$4b2o56b2o$4b2o56b2o22$226b2o56b2o$226b2o56b2o
2$443b2o56b2o$443b2o56b2o4$4b2o56b2o$4b2o56b2o22$226b2o56b2o$226b2o56b
2o2$443b2o56b2o$443b2o56b2o4$4b2o56b2o$4b2o56b2o22$226b2o56b2o$226b2o
56b2o2$443b2o56b2o$443b2o56b2o4$4b2o56b2o$4b2o56b2o22$226b2o56b2o$226b
2o56b2o2$443b2o56b2o$443b2o56b2o4$4b2o56b2o$4b2o56b2o22$226b2o56b2o$
226b2o56b2o2$443b2o56b2o$443b2o56b2o4$4b2o56b2o$4b2o56b2o22$226b2o56b
2o$226b2o56b2o2$443b2o56b2o$443b2o56b2o4$4b2o56b2o$4b2o56b2o22$226b2o
56b2o$226b2o56b2o2$443b2o56b2o$443b2o56b2o4$4b2o56b2o$4b2o56b2o22$226b
2o56b2o$226b2o56b2o2$443b2o56b2o$443b2o56b2o4$4b2o56b2o$4b2o56b2o22$
226b2o56b2o$226b2o56b2o2$443b2o56b2o$443b2o56b2o4$4b2o56b2o$4b2o56b2o
22$226b2o56b2o$226b2o56b2o2$443b2o56b2o$443b2o56b2o4$4b2o56b2o$4b2o56b
2o22$226b2o56b2o$226b2o56b2o2$443b2o56b2o$443b2o56b2o4$4b2o56b2o$4b2o
56b2o22$226b2o56b2o$226b2o56b2o2$443b2o56b2o$443b2o56b2o4$4b2o56b2o$4b
2o56b2o22$226b2o56b2o$226b2o56b2o2$443b2o56b2o$443b2o56b2o4$4b2o56b2o$
4b2o56b2o22$226b2o56b2o$226b2o56b2o2$443b2o56b2o$443b2o56b2o4$4b2o56b
2o$4b2o56b2o22$226b2o56b2o$226b2o56b2o2$443b2o56b2o$443b2o56b2o4$4b2o
56b2o$4b2o56b2o22$226b2o56b2o$226b2o56b2o2$443b2o56b2o$443b2o56b2o4$4b
2o56b2o$4b2o56b2o22$226b2o56b2o$226b2o56b2o2$443b2o56b2o$443b2o56b2o4$
4b2o56b2o$4b2o56b2o22$226b2o56b2o$226b2o56b2o2$443b2o56b2o$443b2o56b2o
4$4b2o56b2o$4b2o56b2o22$226b2o56b2o$226b2o56b2o2$443b2o56b2o$443b2o56b
2o4$4b2o56b2o$4b2o56b2o22$226b2o56b2o$226b2o56b2o2$443b2o56b2o$443b2o
56b2o4$4b2o56b2o$4b2o56b2o22$226b2o56b2o$226b2o56b2o2$443b2o56b2o$443b
2o56b2o4$4b2o56b2o$4b2o56b2o22$226b2o56b2o$226b2o56b2o2$443b2o56b2o$
443b2o56b2o4$4b2o56b2o$4b2o56b2o22$226b2o56b2o$226b2o56b2o2$443b2o56b
2o$443b2o56b2o4$4b2o56b2o$4b2o56b2o22$226b2o56b2o$226b2o56b2o2$443b2o
56b2o$443b2o56b2o4$4b2o56b2o$4b2o56b2o22$226b2o56b2o$226b2o56b2o2$443b
2o56b2o$443b2o56b2o4$4b2o56b2o$4b2o56b2o22$226b2o56b2o$226b2o56b2o2$
443b2o56b2o$443b2o56b2o4$4b2o56b2o$4b2o56b2o22$226b2o56b2o$226b2o56b2o
2$443b2o56b2o$443b2o56b2o4$4b2o56b2o$4b2o56b2o22$226b2o56b2o$226b2o56b
2o2$443b2o56b2o$443b2o56b2o4$4b2o56b2o$4b2o56b2o22$226b2o56b2o$226b2o
56b2o2$443b2o56b2o$443b2o56b2o4$4b2o56b2o$4b2o56b2o22$226b2o56b2o$226b
2o56b2o2$443b2o56b2o$443b2o56b2o4$4b2o56b2o$4b2o56b2o22$226b2o56b2o$
226b2o56b2o2$443b2o56b2o$443b2o56b2o4$4b2o56b2o$4b2o56b2o22$226b2o56b
2o$226b2o56b2o2$443b2o56b2o$443b2o56b2o4$4b2o56b2o$4b2o56b2o22$226b2o
56b2o$226b2o56b2o2$443b2o56b2o$443b2o56b2o4$4b2o56b2o$4b2o56b2o22$226b
2o56b2o$226b2o56b2o2$443b2o56b2o$443b2o56b2o4$4b2o56b2o$4b2o56b2o22$
226b2o56b2o$226b2o56b2o2$443b2o56b2o$443b2o56b2o4$4b2o56b2o$4b2o56b2o
22$226b2o56b2o$226b2o56b2o2$443b2o56b2o$443b2o56b2o4$4b2o56b2o$4b2o56b
2o22$226b2o56b2o$226b2o56b2o2$443b2o56b2o$443b2o56b2o4$4b2o56b2o$4b2o
56b2o22$226b2o56b2o$226b2o56b2o2$443b2o56b2o$443b2o56b2o4$4b2o56b2o$4b
2o56b2o22$226b2o56b2o$226b2o56b2o2$443b2o56b2o$443b2o56b2o4$4b2o56b2o$
4b2o56b2o22$226b2o56b2o$226b2o56b2o2$443b2o56b2o$443b2o56b2o4$4b2o56b
2o$4b2o56b2o22$226b2o56b2o$226b2o56b2o2$443b2o56b2o$443b2o56b2o4$4b2o
56b2o$4b2o56b2o22$226b2o56b2o$226b2o56b2o2$443b2o56b2o$443b2o56b2o4$4b
2o56b2o$4b2o56b2o22$226b2o56b2o$226b2o56b2o2$443b2o56b2o$443b2o56b2o4$
4b2o56b2o$4b2o56b2o22$226b2o56b2o$226b2o56b2o2$443b2o56b2o$443b2o56b2o
4$4b2o56b2o$4b2o56b2o22$226b2o56b2o$226b2o56b2o2$443b2o56b2o$443b2o56b
2o4$4b2o56b2o$4b2o56b2o14$493b3o$496bo$493bo2bo$494b2o$494b2o$493bo2bo
$493bo$495b2o$226b2o56b2o$226b2o56b2o165bo$450b3o$449bo2b2o$449bo3bo$
450b2obo$441b2o9b2o49b2o$10bo43b3o384b2o50b2o8b2o$10bo43bo2bo435b2o$
10bo42bo3bo$53b4o448bo$2b2o7bo2bo39bo9b2o438b3o$2b2o3bobo2b2o50b2o375b
obo59bo3bo$7b2o3bo428b2o65bo$8bo433bo58bo3b2ob2o$505b2o$64bo436b2o6bo$
65bo373b2o66b2o$63b3o373b2o4$2o64b2o$2o64b2o2$443b2o56b2o$443b2o56b2o
3$223b3obo56bo$4b2o56b2o158bo3b3o56bo$4b2o56b2o161bob3o54bo$222b2ob2o
2b2o52b3o$222b5o3bo53b2o$228bobo52b2ob2o$223b2ob4o57bo$223b2ob2o53bo3b
o2bo$224bobo8bo44bobo2b2obo$225bo9bo43bo4bo3b2o161b2o40b2o$235bo44bobo
3b2o163b2o40b2o$281bob2obo$285bo2$12b2o40b2o$12b2o40b2o$222b2o64b2o$
222b2o64b2o4$489b2o$488bobo$393bo96bo$226b2o56b2o107bobo$226b2o56b2o
107b2o$17bo$16b2o292bo132b2o56b2o$16bobo92bobo197b2o130b2o56b2o$112b2o
196b2o$112bo2$4b2o56b2o131bo$4b2o56b2o131bobo$195b2o3$234b2o40b2o$234b
2o40b2o12$429b2o$428bobo$251bo178bo$251bobo$251b2o$77bo148b2o56b2o$76b
2o148b2o56b2o$76bobo184bobo$264b2o177b2o56b2o$264bo178b2o56b2o4$4b2o
56b2o$4b2o56b2o4$234b2o40b2o$234b2o40b2o10$369b2o$368bobo$370bo3$137bo
$136b2o$136bobo87b2o56b2o$226b2o56b2o2$443b2o56b2o$443b2o56b2o4$4b2o
56b2o$4b2o56b2o22$226b2o56b2o$226b2o56b2o2$443b2o56b2o$443b2o56b2o4$4b
2o56b2o$4b2o56b2o22$226b2o56b2o$226b2o56b2o2$443b2o56b2o$443b2o56b2o4$
4b2o56b2o$4b2o56b2o22$226b2o56b2o$226b2o56b2o2$443b2o56b2o$443b2o56b2o
4$4b2o56b2o$4b2o56b2o22$226b2o56b2o$226b2o56b2o!



P.S. I'm not good at English. So, there can be a lot of Grammatical Errors.
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Re: 31c/240 caterpillar working notes

Postby dvgrn » January 9th, 2014, 12:32 am

kiho park wrote:Now remained problem is just building Forward/Backward Rakes.
Fortunately, there is good way to make it.
#A Forward-Rake which made by Two Backward-Rakes
...

This looks like a great start!

The six block trails on the right don't exactly match the block trails on the left -- the mirror image is offset by six cells vertically. I think that means that a different rake will be needed to shoot forward gliders to the right (?). EDIT: I suppose the two sets of trails can be adjusted to the correct offset, by sending some number of six-Herschel rephasing pulses up the tracks on one side but not the other. So maybe six block trails is all that's needed for a complete spaceship -- is there a reason to have more?

kiho park wrote:P.S. I'm not good at English. So, there can be a lot of Grammatical Errors.

Perfectly understandable -- no problem at all. If I can do anything to make my English easier to understand, please let me know...!
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Re: 31c/240 caterpillar working notes

Postby Sphenocorona » January 9th, 2014, 2:18 am

Six tracks as in twelve rows of blocks, or as in six rows of blocks? Three lanes is the minimum possible to use without using an irregular (using a different lane setup or none altogether) backbone.

This is of course assuming that my hexagonal design is to be used, which at the moment appears to be the concensus. Another possible optimization to my design for any instance where the backbone is wide enough to accomodate it (which probably will not apply to this ship, but may be helpful in the future) is having forward rakes near the front of the ship providing gliders to build the tracks directly, in combination with the support streams (thus eliminating one stream for each additional rake that can be added in for this purpose.)
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Re: 31c/240 caterpillar working notes

Postby codeholic » January 9th, 2014, 3:18 am

kiho park wrote:Now remained problem is just building Forward/Backward Rakes.
Fortunately, there is good way to make it.

As I learnt from playing around with (23,5)c/79 reactions, one should be able to run adjusters and rakes on the same track interchangeably in order to build versatile rakes, that would be useful for glider synthesis.
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Re: 31c/240 caterpillar working notes

Postby dvgrn » January 9th, 2014, 9:13 am

Sphenocorona wrote:
dvgrn wrote:So maybe six block trails is all that's needed for a complete spaceship -- is there a reason to have more?

Six tracks as in twelve rows of blocks, or as in six rows of blocks?

I incorrectly said "six block trails" when I should have said "six block-pair trails" -- twelve columns of blocks.

It's probably a good time to settle on some standard terms to avoid confusion later. What we have here is Herschel climbers on block trails, by analogy to pi climbers on blinker trails in the Caterpillar. But really the smallest clean unit in this case is a Herschel-pair (2H) climber on a block-pair (2B4) trail.

I'm not sure what a "track" would be in this context -- maybe the full set of block trails that a rephaser or rake, or the full spaceship, runs on? But probably "track" would just get confused with "trail". So I'm going to avoid using "track", at least for now.

2H climbers generally produce too many gliders, so the minimum useful unit may be kiho park's 6H rephasers. Then we have 12H forward and backward rakes. The rephasers aren't currently compatible with the rakes -- some of the block trails are shifted by 5 cells left or right. Is there a way to get clean rephasers and clean rakes running on the exact same 12 trails?

If that can be done, it becomes trivial to use rephasers to run 12H forward and backward rakes on a mirror-symmetric 12-track. Among other things, this would allow the left- and right-shooting rakes to be mirror images of each other.

If six block-pair trails turn out to be all that's needed to make a complete spaceship, then the next larger unit that needs to be constructed is a 12H LWSS or MWSS edge-shooter.

EDIT: Only a trivial change was needed to get the rephasers to work on the rake tracks. Here's a 12H forward rake followed by a sample pair of mirror-image 6H rephasers:

x = 2665, y = 1525, rule = B3/S23:T3100,1532
2o$bo$bobo$2b2o2$1142b2o56b2o$1142b2o56b2o2$1359b2o56b2o$1359b2o56b2o
934b2o56b2o$2353b2o56b2o2$2136b2o56b2o$2136b2o56b2o5$2o913b2o56b2o$bo
913b2o56b2o$bobo$2b2o$2580b2o56b2o$2580b2o56b2o8$2o$bo$bobo$2b2o2$
1142b2o56b2o$1142b2o56b2o2$1359b2o56b2o$1359b2o56b2o934b2o56b2o$2353b
2o56b2o2$2136b2o56b2o$2136b2o56b2o5$2o913b2o56b2o$bo913b2o56b2o$bobo$
2b2o$2580b2o56b2o$2580b2o56b2o8$2o$bo$bobo$2b2o2$1142b2o56b2o$1142b2o
56b2o2$1359b2o56b2o$1359b2o56b2o934b2o56b2o$2353b2o56b2o2$2136b2o56b2o
$2136b2o56b2o5$2o913b2o56b2o$bo913b2o56b2o$bobo$2b2o$2580b2o56b2o$
2580b2o56b2o8$2o$bo$bobo$2b2o2$1142b2o56b2o$1142b2o56b2o2$1359b2o56b2o
$1359b2o56b2o934b2o56b2o$2353b2o56b2o2$2136b2o56b2o$2136b2o56b2o5$2o
913b2o56b2o$bo913b2o56b2o$bobo$2b2o$2580b2o56b2o$2580b2o56b2o8$2o$bo$b
obo$2b2o2$1142b2o56b2o$1142b2o56b2o2$1359b2o56b2o$1359b2o56b2o934b2o
56b2o$2353b2o56b2o2$2136b2o56b2o$2136b2o56b2o5$2o913b2o56b2o$bo913b2o
56b2o$bobo$2b2o$2580b2o56b2o$2580b2o56b2o8$2o$bo$bobo$2b2o2$1142b2o56b
2o$1142b2o56b2o2$1359b2o56b2o$1359b2o56b2o934b2o56b2o$2353b2o56b2o2$
2136b2o56b2o$2136b2o56b2o5$2o913b2o56b2o$bo913b2o56b2o$bobo$2b2o$2580b
2o56b2o$2580b2o56b2o8$2o$bo$bobo$2b2o2$1142b2o56b2o$1142b2o56b2o2$
1359b2o56b2o$1359b2o56b2o934b2o56b2o$2353b2o56b2o2$2136b2o56b2o$2136b
2o56b2o5$2o913b2o56b2o$bo913b2o56b2o$bobo$2b2o$2580b2o56b2o$2580b2o56b
2o8$2o$bo$bobo$2b2o2$1142b2o56b2o$1142b2o56b2o2$1359b2o56b2o$1359b2o
56b2o934b2o56b2o$2353b2o56b2o2$2136b2o56b2o$2136b2o56b2o5$2o913b2o56b
2o$bo913b2o56b2o$bobo$2b2o$2580b2o56b2o$2580b2o56b2o8$2o$bo$bobo$2b2o
2$1142b2o56b2o$1142b2o56b2o2$1359b2o56b2o$1359b2o56b2o934b2o56b2o$
2353b2o56b2o2$2136b2o56b2o$2136b2o56b2o5$2o913b2o56b2o$bo913b2o56b2o$b
obo$2b2o$2580b2o56b2o$2580b2o56b2o8$2o$bo$bobo$2b2o2$1142b2o56b2o$
1142b2o56b2o2$1359b2o56b2o$1359b2o56b2o934b2o56b2o$2353b2o56b2o2$2136b
2o56b2o$2136b2o56b2o5$2o913b2o56b2o$bo913b2o56b2o$bobo$2b2o$2580b2o56b
2o$2580b2o56b2o8$2o$bo$bobo$2b2o2$1142b2o56b2o$1142b2o56b2o2$1359b2o
56b2o$1359b2o56b2o934b2o56b2o$2353b2o56b2o2$2136b2o56b2o$2136b2o56b2o
5$2o913b2o56b2o$bo913b2o56b2o$bobo$2b2o$2580b2o56b2o$2580b2o56b2o8$2o$
bo$bobo$2b2o2$1142b2o56b2o$1142b2o56b2o2$1359b2o56b2o$1359b2o56b2o934b
2o56b2o$2353b2o56b2o2$2136b2o56b2o$2136b2o56b2o5$2o913b2o56b2o$bo913b
2o56b2o$bobo$2b2o$2580b2o56b2o$2580b2o56b2o8$2o$bo$bobo$2b2o2$1142b2o
56b2o$1142b2o56b2o2$1359b2o56b2o$1359b2o56b2o934b2o56b2o$2353b2o56b2o
2$2136b2o56b2o$2136b2o56b2o5$2o913b2o56b2o$bo913b2o56b2o$bobo$2b2o$
2580b2o56b2o$2580b2o56b2o8$2o$bo$bobo$2b2o2$1142b2o56b2o$1142b2o56b2o
2$1359b2o56b2o$1359b2o56b2o934b2o56b2o$2353b2o56b2o2$2136b2o56b2o$
2136b2o56b2o5$2o913b2o56b2o$bo913b2o56b2o$bobo$2b2o$2580b2o56b2o$2580b
2o56b2o8$2o$bo$bobo$2b2o2$1142b2o56b2o$1142b2o56b2o2$1359b2o56b2o$
1359b2o56b2o934b2o56b2o$2353b2o56b2o2$2136b2o56b2o$2136b2o56b2o5$2o
913b2o56b2o$bo913b2o56b2o$bobo$2b2o$2580b2o56b2o$2580b2o56b2o8$2o$bo$b
obo$2b2o2$1142b2o56b2o$1142b2o56b2o2$1359b2o56b2o$1359b2o56b2o934b2o
56b2o$2353b2o56b2o2$2136b2o56b2o$2136b2o56b2o5$2o913b2o56b2o$bo913b2o
56b2o$bobo$2b2o$2580b2o56b2o$2580b2o56b2o8$2o$bo$bobo$2b2o2$1142b2o56b
2o$1142b2o56b2o2$1359b2o56b2o$1359b2o56b2o934b2o56b2o$2353b2o56b2o2$
2136b2o56b2o$2136b2o56b2o5$2o913b2o56b2o$bo913b2o56b2o$bobo$2b2o$2580b
2o56b2o$2580b2o56b2o8$2o$bo$bobo$2b2o2$1142b2o56b2o$1142b2o56b2o2$
1359b2o56b2o$1359b2o56b2o934b2o56b2o$2353b2o56b2o2$2136b2o56b2o$2136b
2o56b2o5$2o913b2o56b2o$bo913b2o56b2o$bobo$2b2o$2580b2o56b2o$2580b2o56b
2o8$2o$bo$bobo$2b2o2$1142b2o56b2o$1142b2o56b2o2$1359b2o56b2o$1359b2o
56b2o934b2o56b2o$2353b2o56b2o2$2136b2o56b2o$2136b2o56b2o5$2o913b2o56b
2o$bo913b2o56b2o$bobo$2b2o$2580b2o56b2o$2580b2o56b2o8$2o$bo$bobo$2b2o
2$1142b2o56b2o$1142b2o56b2o2$1359b2o56b2o$1359b2o56b2o934b2o56b2o$
2353b2o56b2o2$2136b2o56b2o$2136b2o56b2o5$2o913b2o56b2o$bo913b2o56b2o$b
obo$2b2o$2580b2o56b2o$2580b2o56b2o8$2o$bo$bobo$2b2o2$1142b2o56b2o$
1142b2o56b2o2$1359b2o56b2o$1359b2o56b2o934b2o56b2o$2353b2o56b2o2$2136b
2o56b2o$2136b2o56b2o5$2o913b2o56b2o$bo913b2o56b2o$bobo$2b2o$2580b2o56b
2o$2580b2o56b2o8$2o$bo$bobo$2b2o2$1142b2o56b2o$1142b2o56b2o2$1359b2o
56b2o$1359b2o56b2o934b2o56b2o$2353b2o56b2o2$2136b2o56b2o$2136b2o56b2o
5$2o913b2o56b2o$bo913b2o56b2o$bobo$2b2o$2580b2o56b2o$2580b2o56b2o8$2o$
bo$bobo$2b2o2$1142b2o56b2o$1142b2o56b2o2$1359b2o56b2o$1359b2o56b2o934b
2o56b2o$2353b2o56b2o2$2136b2o56b2o$2136b2o56b2o5$2o913b2o56b2o$bo913b
2o56b2o$bobo$2b2o$2580b2o56b2o$2580b2o56b2o8$2o$bo$bobo$2b2o2$1142b2o
56b2o$1142b2o56b2o2$1359b2o56b2o$1359b2o56b2o934b2o56b2o$2353b2o56b2o
2$2136b2o56b2o$2136b2o56b2o5$2o913b2o56b2o$bo913b2o56b2o$bobo$2b2o$
2580b2o56b2o$2580b2o56b2o8$2o$bo$bobo$2b2o2$1142b2o56b2o$1142b2o56b2o
2$1359b2o56b2o$1359b2o56b2o934b2o56b2o$2353b2o56b2o2$2136b2o56b2o$
2136b2o56b2o5$2o913b2o56b2o$bo913b2o56b2o$bobo$2b2o$2580b2o56b2o$2580b
2o56b2o8$2o$bo$bobo$2b2o$1357bo$1142b2o56b2o153b2o4bo$1142b2o56b2o153b
3o3bo$1355b2o$1356bo841bo$1356b2o3b2o54bobo779bo153b2o56b2o$1356b2o4bo
52b2obob2o775bo2bo152b2o56b2o$1357b2o4bo54bo3bo$1357bo5bo54bo3bo$1357b
obo2b2o48bo6bo2bo711b5o53b2o5bo$1356b2obo51b2o5bo2bo711b2obobo52b3o$
1356b2obo7b3o40bo2bo3b3o712bo3bo54b2o3bo$1411b2o3bo4bo709b3ob2o53b2o5b
2o$973b2o437bo3bo3b2o710b2ob2o5b2o47b2o4bo$2o970bo444b2obo713bo2bo3b3o
42bo7b2o$bo913b5o52bo1161b4o3bo2bo41bo10b2o$bobo910b2o5bo1211bob2obo2b
3o42bo$2b2o910b2obo3b2o49b2ob2o1156b3o2bo3b2o437bo$914b2obo55b2ob2o
377b2o64b2o710b3obo444bo53b3o$914bo3bobobo47bo3bo2bo377b2o64b2o1213b5o
$915bobob2ob2o45b2o2b3obo1603b2o49b3o$916bo5b2o5bo38b2o2bo4b2o1598b3ob
2o49b2o7bo$921bo10b2o35b3obob3o1154b2o64b2o377bo4bo49bo3b2o3bo$927bo6b
o35b4ob2o1155b2o64b2o376b2o6b2o45b2obob2o2bo$925b2o4b2obo38b2o1602bob
3ob2obo47b6o$907b2o16b2obo4bo1642bo5bo3bo44bo2bo3bo$907bo18b2o431b2o
56b2o1157bo2bobo4bo34bo10bo$2o899b2o3bob2o449b2o56b2o1158bo7bo34bo2bo
4bo$bo900bobobo3b2o65b2o1600b3obo36bobo6bo$bobo900bobo5bo2bo61b2o1642b
2o23b2o$2b2o901bob3ob2o3bo528bo690b2o56b2o431b3o15bo2bo$909bo3bobo530b
o689b2o56b2o448b3ob2ob3o$911b4o227b2o56b2o242b3o1129b2o65b3o2bo3b2o$
911b3o228b2o56b2o1374b2o64bo2b2obob2o$2638b12o$893bobo432bo779bobo528b
o5bo$893b2o20b2o56b2o351b2o780b2o243b2o56b2o230b2o$894bo20b2o56b2o352b
2o780bo243b2o56b2o227bo2bo$2642bo$1000bo144bo55bo165b2o40b2o816bo433bo
$1001bo143b2o52b3o165b2o40b2o817bo351b2o56b2o19bobo$999b3o133b2o3b2o3b
obo51bo2b2o1022b3o351b2o56b2o20b2o$1134bo2b2o3bo3b2o7b2o$1134b2ob2o4b
3o7b2o2bo29b2o3b3o8b5o936b2o40b2o165bo54b2o$1129bobo5b2o13bo5bo27bob2o
2b3obobo2bobo3bo936b2o40b2o165bobo53b2o142bobo$2o1127b2o3bobo7b2o6bo2b
2o2bo25b2o4bo5bob2o3bob2o1144b2obo51bobo3bo3b3o133b2o$bo1128bo3bo10b2o
5b3ob2ob2o25b2o3b3o10b2o1142b2o2bo8bo36b3o6bo3b3ob2o3bo133bo$bobo1141b
2o10bo2bo30b2o2b2o1150b6o6b2obo2b3o29b5o6b4o3bo3b2o$2b2o1141bo11b2obo
1185bo4b2ob4ob2o2bob2ob2o26b5obo8bo4bo3bo4bo$923b2o40b2o179bo11b2o
1187b2ob2o2b4o2bo2b2obo2bo24b2o2b3ob2o4b3o6bobo3bobo$923b2o40b2o1381b
3o7bo2bo2bo2b3o24b2obo2b3o16bo4b2o$2361bobo29b2o6bo8bo$2394bo2bo11bo$
2395b3o190b2o40b2o$1142b2o56b2o1386b2o40b2o$1142b2o56b2o182bo$890b3o
489b2o$890bo468b2o22b2o32b2o$2o889bo467b2o56b2o934b2o56b2o$bo942bo
1226bo181b2o56b2o250bo$bobo941bo453bo772bo490b2o$2b2o939b3o451bobo736b
2o32b3o21b2o466bobo$1398b2o736b2o56b2o2$941bo243bobo968bo452bobo$939b
2o244b2o967b2o453b2o$940b2o244bo968b2o453bo$915b2o56b2o175b2o40b2o$
915b2o56b2o175b2o10bo29b2o1175bo244bo$1163bo1203bobo245bo$1161b3o203b
2o40b2o957b2o243b3o$1367b2o40b2o950b2o40b2o175b2o56b2o$2361b2o40b2o
175b2o56b2o$2391bobo$2144b2o40b2o203b2o$2144b2o40b2o204bo$2o$bo$bobo$
2b2o$923b2o40b2o$923b2o40b2o3$2588b2o40b2o$950b3o189b2o56b2o1386b2o40b
2o$950bo191b2o56b2o$951bo$849b3o507b2o56b2o1184bo$2o847bo509b2o56b2o
934b2o56b2o190b2o$bo848bo1502b2o56b2o189bobo$bobo$2b2o2132b2o56b2o$
2136b2o56b2o5$915b2o56b2o175b2o40b2o$915b2o56b2o175b2o40b2o3$2361b2o
40b2o175b2o56b2o$2361b2o40b2o175b2o56b2o4$2o$bo$bobo$2b2o4$1010b3o$
1010bo$1011bo130b2o56b2o$909b3o230b2o56b2o1341bo$909bo1633b2o$910bo
448b2o56b2o1123bobo$2o1357b2o56b2o934b2o56b2o$bo1503bo847b2o56b2o$bobo
1502bo$2b2o1500b3o629b2o56b2o$2136b2o56b2o2$2048bobo$2048b2o$2049bo$
915b2o56b2o$915b2o56b2o85bo$1061bo$1059b3o$2580b2o56b2o$2580b2o56b2o$
1069bobo1421bobo$1069b2o1422b2o$1070bo1423bo$2o$bo2483bo$bobo2479bobo$
2b2o2480b2o5$969b3o$969bo172b2o56b2o$970bo171b2o56b2o2$1359b2o56b2o$2o
1357b2o56b2o934b2o56b2o$bo2351b2o56b2o$bobo$2b2o2132b2o56b2o$2136b2o
56b2o5$915b2o56b2o$915b2o56b2o3$2580b2o56b2o$2580b2o56b2o4$2o$bo$bobo$
2b2o3$1029b3o$1029bo$1030bo$1142b2o56b2o$1142b2o56b2o2$1359b2o56b2o$2o
1357b2o56b2o934b2o56b2o$bo2351b2o56b2o$bobo$2b2o2132b2o56b2o$2136b2o
56b2o5$915b2o56b2o$915b2o56b2o3$2580b2o56b2o$2580b2o56b2o4$2o$bo$bobo$
2b2o$1089b3o$1089bo$1090bo3$1142b2o56b2o$1142b2o56b2o2$1359b2o56b2o
146bo$2o1357b2o56b2o147bo786b2o56b2o$bo1562b3o786b2o56b2o$bobo$2b2o
2132b2o56b2o$1988bobo145b2o56b2o$1988b2o$1989bo3$915b2o56b2o$915b2o56b
2o3$2580b2o56b2o$2580b2o56b2o4$2o$bo$bobo1145b3o$2b2o1145bo$1150bo5$
1142b2o56b2o$1142b2o56b2o2$1359b2o56b2o$2o1357b2o56b2o934b2o56b2o$bo
2351b2o56b2o$bobo$2b2o2132b2o56b2o$2136b2o56b2o5$915b2o56b2o$915b2o56b
2o3$2580b2o56b2o$2580b2o56b2o4$2o1207b3o$bo1207bo$bobo1206bo$2b2o6$
1142b2o56b2o$1142b2o56b2o2$1359b2o56b2o$2o1357b2o56b2o934b2o56b2o$bo
2351b2o56b2o$bobo$2b2o2132b2o56b2o$2136b2o56b2o5$915b2o56b2o$915b2o56b
2o3$2580b2o56b2o$2580b2o56b2o2$1269b3o$1269bo$2o1268bo$bo$bobo$2b2o6$
1142b2o56b2o$1142b2o56b2o423bo$1626bo$1359b2o56b2o205b3o$2o1357b2o56b
2o934b2o56b2o$bo2351b2o56b2o$bobo1924bobo$2b2o1924b2o206b2o56b2o$1929b
o206b2o56b2o5$915b2o56b2o$915b2o56b2o3$2580b2o56b2o$1329b3o1248b2o56b
2o$1329bo$1330bo2$2o$bo$bobo$2b2o6$1142b2o56b2o$1142b2o56b2o2$1359b2o
56b2o$2o1357b2o56b2o934b2o56b2o$bo2351b2o56b2o$bobo$2b2o2132b2o56b2o$
2136b2o56b2o5$915b2o56b2o$915b2o56b2o2$1389b3o$1389bo1190b2o56b2o$
1390bo1189b2o56b2o4$2o$bo$bobo$2b2o6$1142b2o56b2o$1142b2o56b2o2$1359b
2o56b2o$2o1357b2o56b2o934b2o56b2o$bo2351b2o56b2o$bobo$2b2o2132b2o56b2o
$2136b2o56b2o5$915b2o56b2o$915b2o56b2o474b3o$1449bo$1450bo$2580b2o56b
2o$2580b2o56b2o4$2o$bo$bobo$2b2o5$1685bo$1142b2o56b2o484bo$1142b2o56b
2o482b3o2$1359b2o56b2o$2o1357b2o56b2o449bobo482b2o56b2o$bo1866b2o483b
2o56b2o$bobo1865bo$2b2o2132b2o56b2o$2136b2o56b2o4$1509b3o$915b2o56b2o
534bo$915b2o56b2o535bo3$2580b2o56b2o$2580b2o56b2o4$2o$bo$bobo$2b2o6$
1142b2o56b2o$1142b2o56b2o2$1359b2o56b2o$2o1357b2o56b2o934b2o56b2o$bo
2351b2o56b2o$bobo$2b2o2132b2o56b2o$2136b2o56b2o2$1569b3o$1569bo$1570bo
$915b2o56b2o$915b2o56b2o3$2580b2o56b2o$2580b2o56b2o4$2o$bo$bobo$2b2o6$
1142b2o56b2o$1142b2o56b2o2$1359b2o56b2o$2o1357b2o56b2o934b2o56b2o$bo
2351b2o56b2o$bobo$2b2o2132b2o56b2o$1629b3o504b2o56b2o$1629bo$1630bo3$
915b2o56b2o$915b2o56b2o3$2580b2o56b2o$2580b2o56b2o4$2o1363bobo$bo1362b
o4bo$bobo1360bo4bo$2b2o1360b2o2$1364b2o2b2o$1364b2o2b2o39b3o333bo$
1364b3obo40bobo334bo$1365bo43bo2bo331b3o$1142b2o56b2o164bo43b3o$1142b
2o56b2o208b3o$1408bo2bo396bobo$1411bo396b2o$2o1406bo400bo543b2o56b2o$b
o2351b2o56b2o$bobo1353bo52bo8b2o268b3o$2b2o1352bo10b2o40bo9b2o268bo
446b2o56b2o$965b3o387b2o10b2o40b2o279bo445b2o56b2o$965bo2bo386b2obo$
967b2o$1357bo$963bo2bo$964b2o455bo$922b2o43b2o451bobo$923b3o40b3o450b
2obo$913b2o9b2o41bo7b2o442bo$913b2o10b2o37bo2bo7b2o443bobo1157b2o56b2o
$922b2obo39b2o454bo1158b2o56b2o$916bobo3b3o$916b2o5bo$917bo$2o$bo975bo
$bobo972bobo$2b2o973b2o380b2o56b2o$977bo381b2o56b2o$911b2o64bo$911b2o
64bo5$1144b3o56bo$1144bo2bo49bo5bo$2o913b2o56b2o169b2o50bo5b3o544b3o
601b2o56b2o$bo913b2o56b2o165b3o2bo50bobo550bo603b2o56b2o$bobo1135bo3bo
bo3bo46b2o4b3o545bo$2b2o1135bo5bo3bo41b3o9bo163b2o40b2o725b2o56b2o$
1140b2obobo3bo217b2o40b2o725b2o56b2o$1144bob2o2bo$1147bo2bo$1146bo2bo$
1147b2o263b2o$1411bobo$1138b2o64b2o207bo$1138b2o64b2o2$923b2o40b2o
1613b2o56b2o$923b2o40b2o1613b2o56b2o4$2o1140b2o56b2o$bo1140b2o56b2o$bo
bo$2b2o1355b2o56b2o$1359b2o56b2o$926bo$925b2o375bo$925bobo374bobo$
1302b2o2$1233bo$1024bobo207b2o$1025b2o206b2o$2o913b2o56b2o50bo124b2o
40b2o1159b2o56b2o$bo913b2o56b2o175b2o40b2o1159b2o56b2o$bobo1100bo$2b2o
1100bobo1029b2o56b2o$1104b2o1030b2o56b2o2$1352b2o$1351bobo$1353bo5$
2580b2o56b2o$2580b2o56b2o4$2o1140b2o56b2o$bo1140b2o56b2o$bobo$2b2o982b
o372b2o56b2o$985b2o173bo198b2o56b2o768bobo$985bobo172bobo1022bo4bo$
1160b2o1023bo4bo$2189b2o2$1186bobo996b2o2b2o$1187b2o954b3o39b2o2b2o$
1187bo955bobo40bob3o$2142bo2bo43bo$2o913b2o56b2o175b2o40b2o948b3o43bo
164b2o56b2o$bo913b2o56b2o175b2o40b2o948b3o208b2o56b2o$bobo2139bo2bo$2b
2o2139bo$1292b2o852bo$1291bobo$1293bo840b2o8bo52bo$2134b2o9bo40b2o10bo
$2144b2o40b2o10b2o387b3o$2196bob2o386bo2bo$2586b2o$2197bo$2588bo2bo$
2133bo455b2o$2132bobo451b2o43b2o$2132bob2o450b3o40b3o$2135bo442b2o7bo
41b2o9b2o$2132bobo443b2o7bo2bo37b2o10b2o$2o1140b2o56b2o931bo454b2o39bo
b2o$bo1044bo95b2o56b2o1428b3o3bobo$bobo1041b2o1584bo5b2o$2b2o1041bobo
311b2o56b2o1218bo$1359b2o56b2o$2577bo$2576bobo$2136b2o56b2o380b2o$
2136b2o56b2o381bo$2577bo64b2o$2577bo64b2o3$2o913b2o56b2o$bo913b2o56b2o
$bobo2347bo56b3o$2b2o2347bo5bo49bo2bo$2350b3o5bo50b2o169b2o56b2o$2356b
obo50bo2b3o165b2o56b2o$2350b3o4b2o46bo3bobo3bo$2144b2o40b2o163bo9b3o
41bo3bo5bo$2144b2o40b2o217bo3bobob2o$2404bo2b2obo$2404bo2bo$2405bo2bo$
2141b2o263b2o$2141bobo$2141bo207b2o64b2o$2349b2o64b2o2$2588b2o40b2o$2o
1140b2o56b2o1386b2o40b2o$bo1140b2o56b2o$bobo$2b2o1355b2o56b2o$1359b2o
56b2o934b2o56b2o$2353b2o56b2o2$2136b2o56b2o$2136b2o56b2o$2628bo$2252bo
375b2o$2250bobo374bobo$2251b2o$2o913b2o56b2o$bo913b2o56b2o1346bo$bobo
2315b2o207bobo$2b2o2316b2o206b2o$2361b2o40b2o124bo50b2o56b2o$2361b2o
40b2o175b2o56b2o$2450bo$2448bobo$2449b2o2$2201b2o$2201bobo$2201bo6$2o
1140b2o56b2o$bo1140b2o56b2o$bobo$2b2o1355b2o56b2o$1359b2o56b2o934b2o
56b2o$2353b2o56b2o2$2136b2o56b2o372bo$2136b2o56b2o198bo173b2o$2392bobo
172bobo$2393b2o3$2o913b2o56b2o1391bobo$bo913b2o56b2o1391b2o$bobo2363bo
$2b2o$2361b2o40b2o175b2o56b2o$2361b2o40b2o175b2o56b2o3$2261b2o$2261bob
o$2261bo8$2o1140b2o56b2o$bo1140b2o56b2o$bobo$2b2o1355b2o56b2o$1359b2o
56b2o934b2o56b2o$2353b2o56b2o95bo$2508b2o$2136b2o56b2o311bobo$2136b2o
56b2o5$2o913b2o56b2o$bo913b2o56b2o$bobo$2b2o$2580b2o56b2o$2580b2o56b2o
13$2o1140b2o56b2o$bo1140b2o56b2o$bobo$2b2o1355b2o56b2o$1359b2o56b2o
934b2o56b2o$2353b2o56b2o2$2136b2o56b2o$2136b2o56b2o5$2o913b2o56b2o$bo
913b2o56b2o$bobo$2b2o$2580b2o56b2o$2580b2o56b2o!
dvgrn
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Re: 31c/240 caterpillar working notes

Postby dvgrn » January 9th, 2014, 11:44 am

dvgrn wrote:Is there a way to get clean rephasers and clean rakes running on the exact same 12 trails? If that can be done, it becomes trivial to use rephasers to run 12H forward and backward rakes on a mirror-symmetric 12-track. Among other things, this would allow the left- and right-shooting rakes to be mirror images of each other.

Here are left and right forward rakes running on the same mirrored 12H-track. Turns out it only takes three rephasers to adjust the track to match kiho park's forward rake (and then three more on the other track to align them again):

x = 3099, y = 3121, rule = B3/S23:T3100,3121
bo$bobo$2b2o911b2o56b2o1151b2o56b2o$915b2o56b2o1151b2o56b2o2$1132b2o
56b2o717b2o56b2o$1132b2o56b2o717b2o56b2o$3097b2o$3097bo$3095bobo$2o
3093b2o$bo$bobo$2b2o2$688b2o56b2o1605b2o56b2o$688b2o56b2o1605b2o56b2o$
3097b2o$3097bo$3095bobo$2o3093b2o$bo$bobo$2b2o4$3097b2o$3097bo$3095bob
o$3095b2o$2o$bo$bobo911b2o56b2o1151b2o56b2o$2b2o911b2o56b2o1151b2o56b
2o2$1132b2o56b2o717b2o56b2o$1132b2o56b2o717b2o56b2o$3097b2o$3097bo$
3095bobo$2o3093b2o$bo$bobo$2b2o2$688b2o56b2o1605b2o56b2o$688b2o56b2o
1605b2o56b2o$3097b2o$3097bo$3095bobo$2o3093b2o$bo$bobo$2b2o4$3097b2o$
3097bo$3095bobo$3095b2o$2o$bo$bobo911b2o56b2o1151b2o56b2o$2b2o911b2o
56b2o1151b2o56b2o2$1132b2o56b2o717b2o56b2o$1132b2o56b2o717b2o56b2o$
3097b2o$3097bo$3095bobo$2o3093b2o$bo$bobo$2b2o2$688b2o56b2o1605b2o56b
2o$688b2o56b2o1605b2o56b2o$3097b2o$3097bo$3095bobo$2o3093b2o$bo$bobo$
2b2o4$3097b2o$3097bo$3095bobo$3095b2o$2o$bo$bobo911b2o56b2o1151b2o56b
2o$2b2o911b2o56b2o1151b2o56b2o2$1132b2o56b2o717b2o56b2o$1132b2o56b2o
717b2o56b2o$3097b2o$3097bo$3095bobo$2o3093b2o$bo$bobo$2b2o2$688b2o56b
2o1605b2o56b2o$688b2o56b2o1605b2o56b2o$3097b2o$3097bo$3095bobo$2o3093b
2o$bo$bobo$2b2o4$3097b2o$3097bo$3095bobo$3095b2o$2o$bo$bobo911b2o56b2o
1151b2o56b2o$2b2o911b2o56b2o1151b2o56b2o2$1132b2o56b2o717b2o56b2o$
1132b2o56b2o717b2o56b2o$3097b2o$3097bo$3095bobo$2o3093b2o$bo$bobo$2b2o
2$688b2o56b2o1605b2o56b2o$688b2o56b2o1605b2o56b2o$3097b2o$3097bo$3095b
obo$2o3093b2o$bo$bobo$2b2o4$3097b2o$3097bo$3095bobo$3095b2o$2o$bo$bobo
911b2o56b2o1151b2o56b2o$2b2o911b2o56b2o1151b2o56b2o2$1132b2o56b2o717b
2o56b2o$1132b2o56b2o717b2o56b2o$3097b2o$3097bo$3095bobo$2o3093b2o$bo$b
obo$2b2o2$688b2o56b2o1605b2o56b2o$688b2o56b2o1605b2o56b2o$3097b2o$
3097bo$3095bobo$2o3093b2o$bo$bobo$2b2o4$3097b2o$3097bo$3095bobo$3095b
2o$2o$bo$bobo911b2o56b2o1151b2o56b2o$2b2o911b2o56b2o1151b2o56b2o2$
1132b2o56b2o717b2o56b2o$1132b2o56b2o717b2o56b2o$3097b2o$3097bo$3095bob
o$2o3093b2o$bo$bobo$2b2o2$688b2o56b2o1605b2o56b2o$688b2o56b2o1605b2o
56b2o$3097b2o$3097bo$3095bobo$2o3093b2o$bo$bobo$2b2o4$3097b2o$3097bo$
3095bobo$3095b2o$2o$bo$bobo911b2o56b2o1151b2o56b2o$2b2o911b2o56b2o
1151b2o56b2o2$1132b2o56b2o717b2o56b2o$1132b2o56b2o717b2o56b2o$3097b2o$
3097bo$3095bobo$2o3093b2o$bo$bobo$2b2o2$688b2o56b2o1605b2o56b2o$688b2o
56b2o1605b2o56b2o$3097b2o$3097bo$3095bobo$2o3093b2o$bo$bobo$2b2o4$
3097b2o$3097bo$3095bobo$3095b2o$2o$bo$bobo911b2o56b2o1151b2o56b2o$2b2o
911b2o56b2o1151b2o56b2o2$1132b2o56b2o717b2o56b2o$1132b2o56b2o717b2o56b
2o$3097b2o$3097bo$3095bobo$2o3093b2o$bo$bobo$2b2o2$688b2o56b2o1605b2o
56b2o$688b2o56b2o1605b2o56b2o$3097b2o$3097bo$3095bobo$2o3093b2o$bo$bob
o$2b2o4$3097b2o$3097bo$3095bobo$3095b2o$2o$bo$bobo911b2o56b2o1151b2o
56b2o$2b2o911b2o56b2o1151b2o56b2o2$1132b2o56b2o717b2o56b2o$1132b2o56b
2o717b2o56b2o$3097b2o$3097bo$3095bobo$2o3093b2o$bo$bobo$2b2o2$688b2o
56b2o1605b2o56b2o$688b2o56b2o1605b2o56b2o$3097b2o$3097bo$3095bobo$2o
3093b2o$bo$bobo$2b2o4$3097b2o$3097bo$3095bobo$3095b2o$2o$bo$bobo911b2o
56b2o1151b2o56b2o$2b2o911b2o56b2o1151b2o56b2o2$1132b2o56b2o717b2o56b2o
$1132b2o56b2o717b2o56b2o$3097b2o$3097bo$3095bobo$2o3093b2o$bo$bobo$2b
2o2$688b2o56b2o1605b2o56b2o$688b2o56b2o1605b2o56b2o$3097b2o$3097bo$
3095bobo$2o3093b2o$bo$bobo$2b2o4$3097b2o$3097bo$3095bobo$3095b2o$2o$bo
$bobo911b2o56b2o1151b2o56b2o$2b2o911b2o56b2o1151b2o56b2o2$1132b2o56b2o
717b2o56b2o$1132b2o56b2o717b2o56b2o$3097b2o$3097bo$3095bobo$2o3093b2o$
bo$bobo$2b2o2$688b2o56b2o1605b2o56b2o$688b2o56b2o1605b2o56b2o$3097b2o$
3097bo$3095bobo$2o3093b2o$bo$bobo$2b2o4$3097b2o$3097bo$3095bobo$3095b
2o$2o$bo$bobo911b2o56b2o1151b2o56b2o$2b2o911b2o56b2o1151b2o56b2o2$
1132b2o56b2o717b2o56b2o$1132b2o56b2o717b2o56b2o$3097b2o$3097bo$3095bob
o$2o3093b2o$bo$bobo$2b2o2$688b2o56b2o1605b2o56b2o$688b2o56b2o1605b2o
56b2o$3097b2o$3097bo$3095bobo$2o3093b2o$bo$bobo$2b2o4$3097b2o$3097bo$
3095bobo$3095b2o$2o$bo$bobo911b2o56b2o1151b2o56b2o$2b2o911b2o56b2o
1151b2o56b2o2$1132b2o56b2o717b2o56b2o$1132b2o56b2o717b2o56b2o$3097b2o$
3097bo$3095bobo$2o3093b2o$bo$bobo$2b2o$1136bo$688b2o56b2o387bobo1215b
2o56b2o$688b2o56b2o386bo1218b2o56b2o$1134bo2b3o1957b2o$1134b2o3b2o
1956bo$1135b2ob2o1955bobo$2o1132b2ob2o1956b2o$bo1132bo2bo$bobo1130bo2b
o$2b2o1130b2o51bo$1186b3o$1185b2o2bo$1189bo$1132b2o54bo1908b2o$1132b2o
50bo1912bo$1184bobo1908bobo$1184b2o1909b2o$2o$bo$bobo911b2o56b2o167bob
o981b2o56b2o$2b2o738b2o171b2o56b2o168b2o981b2o56b2o$742bob2o397bo$744b
2o1163b2o56b2o$742b2o1165b2o56b2o$695b3o42b2o2355b2o$696bo2400bo$694b
3o43bobo397b2o40b2o1911bobo$2o739bo398b2o40b2o1911b2o$bo$bobo$2b2o2$
2353b2o56b2o$2353b2o56b2o$3097b2o$686b2o2409bo$686b2o8b2o40b2o2355bobo
$2o694b2o40b2o2355b2o$bo$bobo$2b2o2$685bo$684bobo$683bo3bo444b2o56b2o
1905b2o$683bo3bo444b2o56b2o1905bo$687bo2407bobo$684b3o2408b2o$2o$bo
919bo$bobo917bo1204b2o56b2o$2b2o917bo48b2o1154b2o56b2o$970b3o$913b2o7b
o2bo41b2o2b2o2b2o932b2o56b2o$688b2o56b2o165b2o3bobo2b2o41b3o6b2o932b2o
56b2o$688b2o56b2o170b2o3bo41bo3bo222b2o1903b2o$919bo45b3o223bobo1903bo
$964bo4bo170b2o40b2o9bo1901bobo$2o962b2ob2o171b2o40b2o1911b2o$bo962bo
3bo$bobo961b3o$2b2o2$2353b2o56b2o$911b2o64b2o1374b2o56b2o$911b2o64b2o
2118b2o$3097bo$696b2o40b2o2355bobo$2o694b2o40b2o2355b2o$bo$bobo688bo$
2b2o687b2o$691bobo221b2o56b2o$915b2o56b2o2$1132b2o56b2o1905b2o$1132b2o
56b2o1905bo$3095bobo$3095b2o$2o$bo$bobo2122b2o56b2o$2b2o2122b2o56b2o2$
1132b2o775b2o56b2o$688b2o56b2o175b2o40b2o101bo62bobo775b2o56b2o$688b2o
56b2o175b2o40b2o101bobo62bo1963b2o$1068b2o2027bo$3095bobo$2o1011bo
2081b2o$bo802bobo207b2o$bobo801b2o206b2o$2b2o801bo2$870bo1482b2o56b2o$
870bobo1480b2o56b2o$870b2o2225b2o$3097bo$3095bobo$2o750bo2342b2o$bo
749b2o$bobo747bobo$2b2o$915b2o56b2o$915b2o56b2o2$1132b2o56b2o1905b2o$
1132b2o56b2o1905bo$3095bobo$3095b2o$2o$bo$bobo2122b2o56b2o$2b2o1068b2o
1052b2o56b2o$925b2o144bobo$928bo144bo62bo772b2o56b2o$688b2o56b2o175bo
3bo207bobo771b2o56b2o$688b2o56b2o175bobo208bo1962b2o$1134bo2b3o1957bo$
1134b2o3b2o1954bobo$2o1133b2ob2o1955b2o$bo1132b2ob2o$bobo1130bo2bo$2b
2o1130bo2bo$1134b2o51bo$1186b3o1164b2o56b2o$1185b2o2bo1163b2o56b2o$
1189bo1907b2o$812bo319b2o54bo1908bo$811b2o319b2o50bo1910bobo$2o809bobo
370bobo1908b2o$bo1182b2o$bobo$2b2o$915b2o56b2o167bobo$742b2o171b2o56b
2o168b2o$742bob2o397bo$744b2o2351b2o$742b2o2353bo$695b3o42b2o2353bobo$
696bo2398b2o$2o692b3o43bobo397b2o40b2o$bo739bo398b2o40b2o$bobo2122b2o
56b2o$2b2o2122b2o56b2o2$1909b2o56b2o$1909b2o56b2o$3097b2o$3097bo$686b
2o2407bobo$2o684b2o8b2o40b2o2355b2o$bo694b2o40b2o$bobo$2b2o2$2353b2o
56b2o$685bo1667b2o56b2o$684bobo2410b2o$683bo3bo444b2o56b2o1905bo$683bo
3bo444b2o56b2o1903bobo$2o685bo2407b2o$bo682b3o$bobo$2b2o917bo$921bo$
921bo48b2o$970b3o$913b2o7bo2bo41b2o2b2o2b2o2120b2o$688b2o56b2o165b2o3b
obo2b2o41b3o6b2o2120bo$688b2o56b2o170b2o3bo41bo3bo222b2o1901bobo$919bo
45b3o223bobo1901b2o$2o962bo4bo170b2o40b2o9bo$bo962b2ob2o171b2o40b2o$bo
bo960bo3bo1157b2o56b2o$2b2o961b3o1158b2o56b2o2$1909b2o56b2o$1909b2o56b
2o$911b2o64b2o2118b2o$911b2o64b2o2118bo$3095bobo$2o694b2o40b2o2355b2o$
bo694b2o40b2o$bobo$2b2o688bo$691b2o$691bobo221b2o56b2o1378b2o56b2o$
915b2o56b2o1378b2o56b2o$3097b2o$1132b2o56b2o1905bo$1132b2o56b2o1903bob
o$2o3093b2o$bo$bobo$2b2o4$1132b2o1963b2o$688b2o56b2o175b2o40b2o101bo
62bobo1963bo$688b2o56b2o175b2o40b2o101bobo62bo1961bobo$1068b2o2025b2o$
2o$bo1011bo$bobo800bobo207b2o1110b2o56b2o$2b2o801b2o206b2o1111b2o56b2o
$805bo$1909b2o56b2o$870bo1038b2o56b2o$870bobo2224b2o$870b2o2225bo$
3095bobo$2o3093b2o$bo750bo$bobo747b2o$2b2o747bobo2$915b2o56b2o1378b2o
56b2o$915b2o56b2o1378b2o56b2o$3097b2o$1132b2o56b2o1905bo$1132b2o56b2o
1903bobo$2o3093b2o$bo$bobo$2b2o2$1072b2o$925b2o144bobo$928bo144bo62bo
1960b2o$688b2o56b2o175bo3bo207bobo1959bo$688b2o56b2o175bobo208bo1960bo
bo$1134bo2b3o1955b2o$2o1132b2o3b2o$bo1133b2ob2o$bobo1130b2ob2o987b2o
56b2o$2b2o1130bo2bo988b2o56b2o$1134bo2bo$1134b2o51bo721b2o56b2o$1186b
3o720b2o56b2o$1185b2o2bo1907b2o$1189bo1907bo$812bo319b2o54bo1906bobo$
2o809b2o319b2o50bo1910b2o$bo809bobo370bobo$bobo1180b2o$2b2o2$915b2o56b
2o167bobo1208b2o56b2o$742b2o171b2o56b2o168b2o1208b2o56b2o$742bob2o397b
o1953b2o$744b2o2351bo$742b2o2351bobo$2o693b3o42b2o2353b2o$bo694bo$bobo
690b3o43bobo397b2o40b2o$2b2o737bo398b2o40b2o4$3097b2o$3097bo$3095bobo$
3095b2o$2o684b2o$bo684b2o8b2o40b2o$bobo692b2o40b2o1386b2o56b2o$2b2o
2122b2o56b2o2$1909b2o56b2o$1909b2o56b2o$685bo2411b2o$684bobo2410bo$
683bo3bo444b2o56b2o1903bobo$2o681bo3bo444b2o56b2o1903b2o$bo685bo$bobo
680b3o$2b2o$921bo$921bo1431b2o56b2o$921bo48b2o1381b2o56b2o$970b3o2124b
2o$913b2o7bo2bo41b2o2b2o2b2o2120bo$688b2o56b2o165b2o3bobo2b2o41b3o6b2o
2118bobo$2o686b2o56b2o170b2o3bo41bo3bo222b2o1901b2o$bo917bo45b3o223bob
o$bobo960bo4bo170b2o40b2o9bo$2b2o960b2ob2o171b2o40b2o$964bo3bo$965b3o
2$3097b2o$3097bo$911b2o64b2o2116bobo$911b2o64b2o2116b2o$2o$bo694b2o40b
2o$bobo692b2o40b2o1386b2o56b2o$2b2o2122b2o56b2o$692bo$691b2o1216b2o56b
2o$691bobo221b2o56b2o934b2o56b2o$915b2o56b2o2122b2o$3097bo$1132b2o56b
2o1903bobo$2o1130b2o56b2o1903b2o$bo$bobo$2b2o2$2353b2o56b2o$2353b2o56b
2o$3097b2o$1132b2o1963bo$688b2o56b2o175b2o40b2o101bo62bobo1961bobo$2o
686b2o56b2o175b2o40b2o101bobo62bo1961b2o$bo1066b2o$bobo$2b2o1009bo$
804bobo207b2o$805b2o206b2o$805bo$3097b2o$870bo2226bo$870bobo2222bobo$
870b2o2223b2o$2o$bo$bobo748bo1373b2o56b2o$2b2o747b2o1373b2o56b2o$751bo
bo$1909b2o56b2o$915b2o56b2o934b2o56b2o$915b2o56b2o2122b2o$3097bo$1132b
2o56b2o1903bobo$2o1130b2o56b2o1903b2o$bo$bobo$2b2o2$2353b2o56b2o$1072b
2o1279b2o56b2o$925b2o144bobo2023b2o$928bo144bo2023bo$688b2o56b2o175bo
3bo2167bobo$2o686b2o56b2o175bobo2169b2o$bo$bobo$2b2o4$3097b2o$3097bo$
3095bobo$2783b3o309b2o$2o810bo1972bo$bo809b2o1971bo$bobo807bobo1312b2o
56b2o$2b2o2122b2o56b2o2$1909b2o56b2o$915b2o56b2o934b2o56b2o$915b2o56b
2o2122b2o$3097bo$1132b2o56b2o1903bobo$2o1130b2o56b2o1903b2o$bo$bobo$2b
2o2$2353b2o56b2o$2353b2o56b2o$3097b2o$3097bo$688b2o56b2o2347bobo$2o
686b2o56b2o2347b2o$bo$bobo$2b2o4$3097b2o$2723b3o371bo$2725bo369bobo$
2724bo370b2o$2o$bo$bobo2122b2o56b2o$2b2o2122b2o56b2o2$1909b2o56b2o$
915b2o56b2o934b2o56b2o$915b2o56b2o2122b2o$3097bo$1132b2o56b2o1903bobo$
2o1130b2o56b2o1903b2o$bo$bobo$2b2o2$2353b2o56b2o$2353b2o56b2o$3097b2o$
3097bo$688b2o56b2o2347bobo$2o686b2o56b2o2347b2o$bo$bobo$2b2o3$2663b3o$
2665bo431b2o$2664bo432bo$3095bobo$3095b2o$2o$bo$bobo2122b2o56b2o$2b2o
2122b2o56b2o3$915b2o56b2o988b2o$915b2o56b2o988b2ob3o1128b2o$1964b6o
1127bo$1914b3o51b3o1124bobo$2o1131bob3o775bo2b2o43bo1133b2o$bo1129bo
781b2obobo41b3o$bobo1126bo5b2o47bo720b3o4b3o43bo2bo$2b2o1126bo3b2o47b
4o772b3o$1131bo6b3o46bo772bo$1138bobo43bo3bo4bo1217b3o$1138bo2bo43bobo
5bo1219bo$1139bobo44bo6bo1217bobobo681b2o$688bo450b3o1269b2o2b3o679bo$
687b2o1216b2o64b2o377b3o5bo57b2o677bobo$2o685bobo1215b2o64b2o385b2o56b
2o677b2o$bo683bobobo1660b3o4b2o3bo$bobo679bob2ob2o59bo1600b3o9bo39b3o
8bo$2b2o678bo58b2o6bo378b2o64b2o1166bo$683b2o56bo386b2o64b2o1219bo187b
3o$697bo43b3o4bobo1663bo190bo$697bo39b3o8bobo1853bo$697bo51bo1159b2o
56b2o1128b2o$1909b2o56b2o1128bo$2349b2o64b2o678bobo$2349b2o64b2o678b2o
$2o1130b2o56b2o$bo1130b2o56b2o$bobo680b2o64b2o1374b2o56b2o$2b2o680b2o
64b2o1374b2o56b2o$2185b3o$2185bo$915b2o56b2o1204bob2obo5bo162b2o56b2o$
973b2o900bo302b2o3b2o6bo161b2o56b2o684b2o$1874bo251bo3bo46b2o10bobo
905bo$915b2o957b3o40b2o40b2o158bo4b2obo3bo48b2o2bo5bo904bobo$2o686b2o
56b2o167b2obob3o994b2o40b2o157bo5b2obo3bo40bo5b2o5b3o907b2o$bo686b2o
56b2o161bo6b3ob2obo1194bo3b4ob2o2bo39b3o6bo2bo$bobo905bo6b2o2bob2o50b
2o248bobo779bo110bo4bo2b2o4bo3b2o5bo23b3o2bo11bo255bobo$2b2o906bo3b2o
4bo2bo45b2o2bo2bo163b2o40b2o41b2o780b2o108b5o7bo2bo2b3o3b2o29b2o20b2o
244b2o$914b3o2bobo5b3o38b3o2bo7b2o157b2o40b2o41bo780b2o109bo3bo8b3o2bo
2bo4bo30bo7b2o6b2ob2obo243bo$914bobo4bo5bobo3bo34b3ob2o4bo3b2o1134bobo
10bob6o42b2o6b2ob2o2b2o$659bo269bo3bo24b2o3bobo2b3ob4o2bobo2bo109bo
1017bo7b2o11b5obo36bo2bo8bobo6bo123bo$659bobo243b3o9b2o8b2o4bo23b3o3bo
2bobo9b4ob2o107bo1018bobo18b3o2b3ob2o33bobo7b2ob2ob4o123bo777b2o$659b
2o242b2o4b3o5b3o7bo30bo3bo7bo8bo3bo108b3o1016b2o24b2o2bo45b2o5bo124b3o
775bo$903b2ob3o2b2o4b3o41b2o7bo8b2obo1156b3o35b2o9bobob2o167b2o40b2o
37b3o650bobo$2o901b2o8b2o8bo45bo10b2o6bo1372b2o40b2o39bo650b2o$bo777bo
bo123b3o2b2o2bo8bo34b4o6bo20b2o1149b2o2b2o57bobo237bo$bobo653bo122b2o
123bo4bo3bo7bo40bo3bo20b2o1214b2o337b3o$2b2o652b2o38b2o40b2o40bo126bo
3b3o45b4o1241bo340bo$656bobo37b2o40b2o221bo1164b2o56b2o358bo$895bo
1230b2o56b2o$895bobo$895b2o1012b2o56b2o1128b2o$915b2o56b2o934b2o56b2o
1128bo$915b2o56b2o2120bobo$3095b2o$2o1130b2o56b2o$bo1130b2o56b2o758bo$
bobo1947b2o$2b2o1946b2o2$1149bo1226bo$1148bo772bo212b2o40b2o175b2o20bo
35b2o$1148b3o770bobo210b2o40b2o175b2o20b3o33b2o684b2o$1921b2o1174bo$
1917b2o40b2o1134bobo$2o686b2o33bobo20b2o175b2o40b2o211bo738b2o40b2o
186bobo243bo701b2o$bo686b2o34b2o20b2o175b2o40b2o212b2o967b2o244b2o$bob
o720bo453b2o968bo244b2o$2b2o1136b2o40b2o$706bo244bo188b2o40b2o974bo$
705bo245bobo1203bo$705b3o243b2o1204b3o$2382b3o712b2o$2384bo712bo$941bo
bo1417b2o20bo19b2o690bobo$2o715bo224b2o1417b2o40b2o78b3o609b2o$bo714b
2o224bo1542bo$bobo712bobo1765bo$2b2o692b2o40b2o$696b2o40b2o1386b2o56b
2o$2126b2o56b2o2$1909b2o56b2o1128b2o$915b2o56b2o934b2o56b2o1128bo$915b
2o56b2o2120bobo$3095b2o$2o1130b2o56b2o$bo1130b2o56b2o$bobo$2b2o3$2134b
2o40b2o175b2o56b2o$2134b2o40b2o175b2o56b2o684b2o$3097bo$3095bobo$2o
686b2o56b2o175b2o40b2o2128b2o$bo686b2o56b2o175b2o40b2o$bobo$2b2o2$
2322b3o$2324bo$2323bo773b2o$777bo1645b3o671bo$776b2o1647bo669bobo$2o
774bobo1645bo670b2o$bo$bobo$2b2o$2126b2o56b2o$2126b2o56b2o2$1909b2o56b
2o1128b2o$915b2o56b2o934b2o56b2o1128bo$915b2o56b2o2120bobo$3095b2o$2o
1130b2o56b2o$bo1130b2o56b2o$bobo$2b2o2$1815bo$1814bo538b2o56b2o$1814b
3o536b2o56b2o684b2o$3097bo$3095bobo$2o686b2o56b2o536bobo1808b2o$bo686b
2o56b2o537b2o$bobo1281bo$2b2o2258b3o$2264bo$2263bo$837bo1525b3o$836b2o
1527bo731b2o$836bobo1525bo732bo$3095bobo$2o3093b2o$bo$bobo$2b2o$2126b
2o56b2o$2126b2o56b2o2$1909b2o56b2o1128b2o$915b2o56b2o934b2o56b2o1128bo
$915b2o56b2o2120bobo$3095b2o$2o1130b2o56b2o$bo1130b2o56b2o$bobo$2b2o3$
2353b2o56b2o$2353b2o56b2o684b2o$3097bo$3095bobo$2o686b2o56b2o2347b2o$b
o686b2o56b2o$bobo$2b2o$2303b3o$2305bo$2304bo$3097b2o$3097bo$3095bobo$
2o3093b2o$bo$bobo$2b2o$2126b2o56b2o$2126b2o56b2o2$1909b2o56b2o1128b2o$
915b2o56b2o934b2o56b2o1128bo$915b2o56b2o2120bobo$3095b2o$2o1130b2o56b
2o$bo1130b2o56b2o$bobo$2b2o3$2353b2o56b2o$2353b2o56b2o684b2o$3097bo$
3095bobo$2o686b2o56b2o2347b2o$bo686b2o56b2o$bobo2239b3o$2b2o2241bo$
2244bo3$3097b2o$3097bo$3095bobo$2o3093b2o$bo$bobo$2b2o$2126b2o56b2o$
2126b2o56b2o2$1909b2o56b2o1128b2o$915b2o56b2o934b2o56b2o1128bo$915b2o
56b2o2120bobo$3095b2o$2o1130b2o56b2o$bo1130b2o56b2o$bobo$2b2o1751bo$
1754bo$1754b3o$2353b2o56b2o$2353b2o56b2o684b2o$1344bobo1750bo$1345b2o
1748bobo$2o686b2o56b2o597bo837b3o909b2o$bo686b2o56b2o1437bo$bobo2180bo
$2b2o4$3097b2o$3097bo$3095bobo$2o3093b2o$bo$bobo$2b2o$2126b2o56b2o$
2126b2o56b2o2$1909b2o56b2o1128b2o$915b2o56b2o934b2o56b2o1128bo$915b2o
56b2o2120bobo$3095b2o$2o1130b2o56b2o$bo1130b2o56b2o$bobo$2b2o3$2353b2o
56b2o$2353b2o56b2o684b2o$2123b3o971bo$2125bo969bobo$2o686b2o56b2o1376b
o970b2o$bo686b2o56b2o$bobo$2b2o4$3097b2o$3097bo$3095bobo$2o3093b2o$bo$
bobo$2b2o$2126b2o56b2o$2126b2o56b2o2$1909b2o56b2o1128b2o$915b2o56b2o
934b2o56b2o1128bo$915b2o56b2o2120bobo$3095b2o$2o1130b2o56b2o$bo1130b2o
56b2o$bobo$2b2o3$2063b3o287b2o56b2o$2065bo287b2o56b2o684b2o$2064bo
1032bo$3095bobo$2o686b2o56b2o2347b2o$bo686b2o56b2o$bobo$2b2o4$3097b2o$
3097bo$3095bobo$2o3093b2o$bo$bobo$2b2o$2126b2o56b2o$2126b2o56b2o2$
1909b2o56b2o1128b2o$915b2o56b2o934b2o56b2o1128bo$915b2o56b2o2120bobo$
3095b2o$2o1130b2o56b2o$bo1130b2o56b2o503bo$bobo1690bo$2b2o1690b3o$
2003b3o$2005bo$1404bobo597bo348b2o56b2o$1405b2o946b2o56b2o684b2o$1405b
o1691bo$3095bobo$2o686b2o56b2o2347b2o$bo686b2o56b2o$bobo$2b2o4$3097b2o
$3097bo$3095bobo$2o3093b2o$bo$bobo$2b2o$2126b2o56b2o$2126b2o56b2o2$
1909b2o56b2o1128b2o$915b2o56b2o934b2o56b2o1128bo$915b2o56b2o2120bobo$
3095b2o$2o1130b2o56b2o$bo1130b2o56b2o$bobo1939b3o$2b2o1941bo$1944bo2$
2353b2o56b2o$2353b2o56b2o684b2o$3097bo$3095bobo$2o686b2o56b2o2347b2o$b
o686b2o56b2o$bobo$2b2o4$3097b2o$3097bo$3095bobo$2o3093b2o$bo$bobo$2b2o
$2126b2o56b2o$2126b2o56b2o2$1909b2o56b2o1128b2o$915b2o56b2o934b2o56b2o
1128bo$915b2o56b2o2120bobo$3095b2o$2o1130b2o56b2o691b3o$bo1130b2o56b2o
693bo$bobo1880bo$2b2o3$2353b2o56b2o$2353b2o56b2o684b2o$3097bo$3095bobo
$2o686b2o56b2o2347b2o$bo686b2o56b2o$bobo$2b2o4$3097b2o$3097bo$3095bobo
$2o3093b2o$bo$bobo$2b2o$2126b2o56b2o$2126b2o56b2o2$1909b2o56b2o1128b2o
$915b2o56b2o934b2o56b2o1128bo$915b2o56b2o848b3o1269bobo$1635bo189bo
1269b2o$2o1130b2o56b2o442bo189bo$bo1130b2o56b2o442b3o$bobo$2b2o$1464bo
bo$1465b2o$1465bo887b2o56b2o$2353b2o56b2o684b2o$3097bo$3095bobo$2o686b
2o56b2o2347b2o$bo686b2o56b2o$bobo$2b2o4$3097b2o$3097bo$3095bobo$2o
3093b2o$bo$bobo$2b2o$2126b2o56b2o$2126b2o56b2o2$1763b3o143b2o56b2o
1128b2o$915b2o56b2o790bo143b2o56b2o1128bo$915b2o56b2o789bo1330bobo$
3095b2o$2o1130b2o56b2o$bo1130b2o56b2o$bobo$2b2o3$2353b2o56b2o$2353b2o
56b2o684b2o$3097bo$3095bobo$2o686b2o56b2o2347b2o$bo686b2o56b2o$bobo$2b
2o4$3097b2o$3097bo$3095bobo$2o3093b2o$bo$bobo$2b2o$2126b2o56b2o$1703b
3o420b2o56b2o$1705bo$1704bo204b2o56b2o1128b2o$915b2o56b2o934b2o56b2o
1128bo$915b2o56b2o2120bobo$3095b2o$2o1130b2o56b2o$bo1130b2o56b2o$bobo$
2b2o2$1964bo$1963bobo387b2o56b2o$1966bo386b2o56b2o684b2o$1961b3o2bo
1130bo$1960b2o3b2o1128bobo$2o686b2o56b2o1213b2ob2o1129b2o$bo686b2o56b
2o1214b2ob2o$bobo1959bo2bo$2b2o1959bo2bo$1913bo51b2o$1912b3o$1911bo2b
2o$1911bo1185b2o$1912bo54b2o1128bo$1916bo50b2o1126bobo$2o1912bobo1178b
2o$bo1913b2o$bobo$2b2o1639b3o$1645bo310bobo167b2o56b2o$1644bo311b2o
168b2o56b2o171b2o$1957bo397b2obo$2355b2o740b2o$915b2o56b2o600bo781b2o
738bo$915b2o56b2o599bo784b2o42b3o689bobo$1574b3o827bo690b2o$2o1130b2o
56b2o725b2o40b2o397bobo43b3o$bo1130b2o56b2o725b2o40b2o398bo$bobo1520bo
bo$2b2o1521b2o$1525bo3$3097b2o$3097bo$2413b2o680bobo$2o686b2o56b2o
1613b2o40b2o8b2o680b2o$bo686b2o56b2o1613b2o40b2o$bobo$2b2o3$2415bo$
2414bobo680b2o$1909b2o56b2o444bo3bo679bo$1909b2o56b2o444bo3bo677bobo$
2o2411bo681b2o$bo1581b3o828b3o$bobo1581bo$2b2o1580bo594bo$2179bo$2129b
2o48bo$2128b3o$2124b2o2b2o2b2o41bo2bo7b2o909b2o$915b2o56b2o1149b2o6b3o
41b2o2bobo3b2o165b2o56b2o684bo$915b2o56b2o932b2o222bo3bo41bo3b2o170b2o
56b2o682bobo$1907bobo223b3o45bo913b2o$2o1130b2o56b2o715bo9b2o40b2o170b
o4bo$bo1130b2o56b2o725b2o40b2o171b2ob2o$bobo2128bo3bo$2b2o2129b3o4$
2122b2o64b2o907b2o$2122b2o64b2o907bo$3095bobo$2o686b2o56b2o1613b2o40b
2o690b2o$bo686b2o56b2o1613b2o40b2o$bobo$2b2o2404bo$2408b2o$2126b2o56b
2o221bobo$2126b2o56b2o$3097b2o$1909b2o56b2o1128bo$1909b2o56b2o1126bobo
$2o3093b2o$bo$bobo$2b2o4$1967b2o1128b2o$915b2o56b2o992bobo62bo101b2o
40b2o175b2o56b2o684bo$915b2o56b2o992bo62bobo101b2o40b2o175b2o56b2o682b
obo$2031b2o1062b2o$2o1130b2o56b2o$bo1130b2o56b2o895bo$bobo2081b2o207bo
bo$2b2o2082b2o206b2o$2295bo2$2230bo$2228bobo866b2o$2229b2o866bo$3095bo
bo$2o686b2o56b2o2347b2o$bo686b2o56b2o1600bo$bobo2344b2o$2b2o2343bobo2$
2126b2o56b2o$2126b2o56b2o$3097b2o$1909b2o56b2o1128bo$1909b2o56b2o1126b
obo$2o3093b2o$bo$bobo$2b2o2$2027b2o$2027bobo144b2o$1964bo62bo144bo924b
2o$915b2o56b2o988bobo207bo3bo175b2o56b2o684bo$915b2o56b2o991bo208bobo
175b2o56b2o682bobo$1961b3o2bo1128b2o$2o1130b2o56b2o768b2o3b2o$bo1130b
2o56b2o769b2ob2o$bobo1958b2ob2o$2b2o1959bo2bo$1963bo2bo$1913bo51b2o$
1912b3o$1911bo2b2o1181b2o$1911bo1185bo$1912bo54b2o319bo806bobo$2o686b
2o56b2o1168bo50b2o319b2o805b2o$bo686b2o56b2o1166bobo370bobo$bobo1911b
2o$2b2o2$1956bobo167b2o56b2o$1956b2o168b2o56b2o171b2o$1957bo397b2obo
738b2o$2355b2o740bo$2357b2o736bobo$2o2357b2o42b3o689b2o$bo2402bo$bobo
1913b2o40b2o397bobo43b3o$2b2o1913b2o40b2o398bo4$3097b2o$915b2o56b2o
2122bo$915b2o56b2o2120bobo$3095b2o$2o1130b2o56b2o1221b2o$bo1130b2o56b
2o1169b2o40b2o8b2o$bobo2357b2o40b2o$2b2o4$2415bo681b2o$2414bobo680bo$
1909b2o56b2o444bo3bo677bobo$2o686b2o56b2o1161b2o56b2o444bo3bo677b2o$bo
686b2o56b2o1665bo$bobo2410b3o$2b2o$2179bo$2179bo$2129b2o48bo$2128b3o
966b2o$2124b2o2b2o2b2o41bo2bo7b2o909bo$2124b2o6b3o41b2o2bobo3b2o165b2o
56b2o682bobo$2o1905b2o222bo3bo41bo3b2o170b2o56b2o682b2o$bo1905bobo223b
3o45bo$bobo1903bo9b2o40b2o170bo4bo$2b2o1913b2o40b2o171b2ob2o$2132bo3bo
$2133b3o2$3097b2o$915b2o56b2o2122bo$915b2o56b2o1147b2o64b2o905bobo$
2122b2o64b2o905b2o$2o1130b2o56b2o$bo1130b2o56b2o1169b2o40b2o$bobo2357b
2o40b2o$2b2o$2408bo$2408b2o$2126b2o56b2o221bobo$2126b2o56b2o911b2o$
3097bo$1909b2o56b2o1126bobo$2o686b2o56b2o1161b2o56b2o1126b2o$bo686b2o
56b2o$bobo$2b2o4$3097b2o$1967b2o1128bo$1967bobo62bo101b2o40b2o175b2o
56b2o682bobo$2o1965bo62bobo101b2o40b2o175b2o56b2o682b2o$bo2029b2o$bobo
$2b2o2083bo$2085b2o207bobo$2086b2o206b2o$2295bo$3097b2o$915b2o56b2o
1255bo866bo$915b2o56b2o1253bobo864bobo$2229b2o864b2o$2o1130b2o56b2o$bo
1130b2o56b2o$bobo2344bo$2b2o2344b2o$2347bobo2$2126b2o56b2o$2126b2o56b
2o911b2o$3097bo$1909b2o56b2o1126bobo$2o686b2o56b2o1161b2o56b2o1126b2o$
bo686b2o56b2o$bobo$2b2o3$2027b2o$2027bobo144b2o921b2o$1964bo62bo144bo
924bo$1963bobo207bo3bo175b2o56b2o682bobo$2o1964bo208bobo175b2o56b2o
682b2o$bo1959b3o2bo$bobo1956b2o3b2o$2b2o1957b2ob2o$1962b2ob2o$1963bo2b
o$1963bo2bo$1913bo51b2o1130b2o$915b2o56b2o937b3o1182bo$915b2o56b2o936b
o2b2o1179bobo$1911bo1183b2o$2o1130b2o56b2o720bo54b2o319bo$bo1130b2o56b
2o724bo50b2o319b2o$bobo1910bobo370bobo$2b2o1911b2o3$1956bobo167b2o56b
2o$1956b2o168b2o56b2o171b2o738b2o$1957bo397b2obo738bo$2355b2o738bobo$
2o686b2o56b2o1609b2o736b2o$bo686b2o56b2o1611b2o42b3o$bobo2400bo$2b2o
1913b2o40b2o397bobo43b3o$1917b2o40b2o398bo3$3097b2o$3097bo$3095bobo$2o
3093b2o$bo$bobo2409b2o$2b2o2357b2o40b2o8b2o$2361b2o40b2o3$3097b2o$915b
2o56b2o2122bo$915b2o56b2o1440bo679bobo$2414bobo678b2o$2o1130b2o56b2o
717b2o56b2o444bo3bo$bo1130b2o56b2o717b2o56b2o444bo3bo$bobo2409bo$2b2o
2410b3o2$2179bo$2179bo$2129b2o48bo917b2o$2128b3o966bo$2124b2o2b2o2b2o
41bo2bo7b2o907bobo$2o686b2o56b2o1376b2o6b3o41b2o2bobo3b2o165b2o56b2o
682b2o$bo686b2o56b2o1159b2o222bo3bo41bo3b2o170b2o56b2o$bobo1903bobo
223b3o45bo$2b2o1903bo9b2o40b2o170bo4bo$1917b2o40b2o171b2ob2o$2132bo3bo
$2133b3o$3097b2o$3097bo$3095bobo$2o2120b2o64b2o905b2o$bo2120b2o64b2o$b
obo$2b2o2357b2o40b2o$2361b2o40b2o2$2408bo$2408b2o687b2o$915b2o56b2o
1151b2o56b2o221bobo687bo$915b2o56b2o1151b2o56b2o909bobo$3095b2o$2o
1130b2o56b2o717b2o56b2o$bo1130b2o56b2o717b2o56b2o$bobo$2b2o4$3097b2o$
3097bo$1967b2o1126bobo$2o686b2o56b2o1219bobo62bo101b2o40b2o175b2o56b2o
682b2o$bo686b2o56b2o1219bo62bobo101b2o40b2o175b2o56b2o$bobo2027b2o$2b
2o$2087bo$2085b2o207bobo$2086b2o206b2o$2295bo801b2o$3097bo$2230bo864bo
bo$2o2226bobo864b2o$bo2227b2o$bobo$2b2o$2348bo$2348b2o$2347bobo$3097b
2o$915b2o56b2o1151b2o56b2o911bo$915b2o56b2o1151b2o56b2o909bobo$3095b2o
$2o1130b2o56b2o717b2o56b2o$bo1130b2o56b2o717b2o56b2o$bobo$2b2o4$2027b
2o1068b2o$2027bobo144b2o921bo$2027bo144bo922bobo$2o686b2o56b2o1425bo3b
o175b2o56b2o682b2o$bo686b2o56b2o1427bobo175b2o56b2o$bobo$2b2o4$3097b2o
$3097bo$3095bobo$2o3093b2o$bo$bobo2284bo$2b2o2284b2o$2287bobo3$3097b2o
$915b2o56b2o1151b2o56b2o911bo$915b2o56b2o1151b2o56b2o909bobo$3095b2o$
2o1130b2o56b2o717b2o56b2o$bo1130b2o56b2o717b2o56b2o$bobo$2b2o4$3097b2o
$3097bo$3095bobo$2o686b2o56b2o1605b2o56b2o682b2o$bo686b2o56b2o1605b2o
56b2o$bobo$2b2o4$3097b2o$3097bo$3095bobo$2o3093b2o$bo$bobo$2b2o4$3097b
2o$915b2o56b2o1151b2o56b2o911bo$915b2o56b2o1151b2o56b2o909bobo$3095b2o
$2o1130b2o56b2o717b2o56b2o$bo1130b2o56b2o717b2o56b2o$bobo$2b2o4$3097b
2o$3097bo$3095bobo$2o686b2o56b2o1605b2o56b2o682b2o$bo686b2o56b2o1605b
2o56b2o$bobo$2b2o4$3097b2o$3097bo$3095bobo$2o3093b2o$bo$bobo$2b2o4$
3097b2o$915b2o56b2o1151b2o56b2o911bo$915b2o56b2o1151b2o56b2o909bobo$
3095b2o$2o1130b2o56b2o717b2o56b2o$bo1130b2o56b2o717b2o56b2o$bobo$2b2o
4$3097b2o$3097bo$3095bobo$2o686b2o56b2o1605b2o56b2o682b2o$bo686b2o56b
2o1605b2o56b2o$bobo$2b2o4$3097b2o$3097bo$3095bobo$2o3093b2o$bo$bobo$2b
2o4$3097b2o$915b2o56b2o1151b2o56b2o911bo$915b2o56b2o1151b2o56b2o909bob
o$3095b2o$2o1130b2o56b2o717b2o56b2o$bo1130b2o56b2o717b2o56b2o$bobo$2b
2o4$3097b2o$3097bo$3095bobo$2o686b2o56b2o1605b2o56b2o682b2o$bo686b2o
56b2o1605b2o56b2o$bobo$2b2o4$3097b2o$3097bo$3095bobo$2o3093b2o$bo$bobo
$2b2o4$3097b2o$915b2o56b2o1151b2o56b2o911bo$915b2o56b2o1151b2o56b2o
909bobo$3095b2o$2o1130b2o56b2o717b2o56b2o$bo1130b2o56b2o717b2o56b2o$bo
bo$2b2o4$3097b2o$3097bo$1964bo1130bobo$2o686b2o56b2o1215bobo387b2o56b
2o682b2o$bo686b2o56b2o1218bo386b2o56b2o$bobo1957b3o2bo$2b2o1956b2o3b2o
$1961b2ob2o$1962b2ob2o$1963bo2bo$1963bo2bo1130b2o$1913bo51b2o1130bo$
1912b3o1180bobo$2o1909bo2b2o1179b2o$bo1909bo$bobo1908bo54b2o$2b2o1912b
o50b2o$1914bobo$1915b2o2$3097b2o$915b2o56b2o981bobo167b2o56b2o911bo$
915b2o56b2o981b2o168b2o56b2o171b2o736bobo$1957bo397b2obo736b2o$2o1130b
2o56b2o1163b2o$bo1130b2o56b2o1165b2o$bobo2355b2o42b3o$2b2o2400bo$1917b
2o40b2o397bobo43b3o$1917b2o40b2o398bo2$3097b2o$3097bo$3095bobo$2o686b
2o56b2o2347b2o$bo686b2o56b2o$bobo$2b2o2409b2o$2361b2o40b2o8b2o$2361b2o
40b2o2$3097b2o$3097bo$3095bobo$2o2413bo679b2o$bo2412bobo$bobo1905b2o
56b2o444bo3bo$2b2o1905b2o56b2o444bo3bo$2413bo$2414b3o2$2179bo917b2o$
915b2o56b2o1204bo917bo$915b2o56b2o1154b2o48bo915bobo$2128b3o964b2o$2o
1130b2o56b2o932b2o2b2o2b2o41bo2bo7b2o$bo1130b2o56b2o932b2o6b3o41b2o2bo
bo3b2o165b2o56b2o$bobo1903b2o222bo3bo41bo3b2o170b2o56b2o$2b2o1903bobo
223b3o45bo$1907bo9b2o40b2o170bo4bo$1917b2o40b2o171b2ob2o$2132bo3bo$
2133b3o961b2o$3097bo$3095bobo$2o686b2o56b2o2347b2o$bo686b2o56b2o1374b
2o64b2o$bobo2118b2o64b2o$2b2o$2361b2o40b2o$2361b2o40b2o2$2408bo688b2o$
2408b2o687bo$2126b2o56b2o221bobo685bobo$2o2124b2o56b2o909b2o$bo$bobo
1905b2o56b2o$2b2o1905b2o56b2o4$3097b2o$915b2o56b2o2122bo$915b2o56b2o
2120bobo$3095b2o$2o1130b2o56b2o775b2o$bo1130b2o56b2o775bobo62bo101b2o
40b2o175b2o56b2o$bobo1963bo62bobo101b2o40b2o175b2o56b2o$2b2o2027b2o2$
2087bo$2085b2o207bobo$2086b2o206b2o801b2o$2295bo801bo$3095bobo$2o686b
2o56b2o1482bo864b2o$bo686b2o56b2o1480bobo$bobo2225b2o$2b2o2$2348bo$
2348b2o$2347bobo747b2o$3097bo$2126b2o56b2o909bobo$2o2124b2o56b2o909b2o
$bo$bobo1905b2o56b2o$2b2o1905b2o56b2o4$3097b2o$915b2o56b2o2122bo$915b
2o56b2o1052b2o1066bobo$2027bobo144b2o919b2o$2o1130b2o56b2o772bo62bo
144bo$bo1130b2o56b2o771bobo207bo3bo175b2o56b2o$bobo1962bo208bobo175b2o
56b2o$2b2o1957b3o2bo$1960b2o3b2o$1961b2ob2o$1962b2ob2o$1963bo2bo1130b
2o$1963bo2bo1130bo$1913bo51b2o1128bobo$2o686b2o56b2o1164b3o1180b2o$bo
686b2o56b2o1163bo2b2o$bobo1907bo$2b2o1908bo54b2o319bo$1916bo50b2o319b
2o$1914bobo370bobo$1915b2o$3097b2o$3097bo$1956bobo167b2o56b2o909bobo$
2o1954b2o168b2o56b2o171b2o736b2o$bo1955bo397b2obo$bobo2351b2o$2b2o
2353b2o$2359b2o42b3o$2404bo$1917b2o40b2o397bobo43b3o$1917b2o40b2o398bo
737b2o$915b2o56b2o2122bo$915b2o56b2o2120bobo$3095b2o$2o1130b2o56b2o$bo
1130b2o56b2o$bobo$2b2o$2413b2o$2361b2o40b2o8b2o$2361b2o40b2o$3097b2o$
3097bo$3095bobo$2o686b2o56b2o2347b2o$bo686b2o56b2o1667bo$bobo2410bobo$
2b2o1905b2o56b2o444bo3bo$1909b2o56b2o444bo3bo$2413bo$2414b3o$3097b2o$
2179bo917bo$2179bo915bobo$2o2127b2o48bo915b2o$bo2126b3o$bobo2120b2o2b
2o2b2o41bo2bo7b2o$2b2o2120b2o6b3o41b2o2bobo3b2o165b2o56b2o$1907b2o222b
o3bo41bo3b2o170b2o56b2o$1907bobo223b3o45bo$1907bo9b2o40b2o170bo4bo$
1917b2o40b2o171b2ob2o960b2o$915b2o56b2o1157bo3bo960bo$915b2o56b2o1158b
3o959bobo$3095b2o$2o1130b2o56b2o$bo1130b2o56b2o$bobo2118b2o64b2o$2b2o
2118b2o64b2o2$2361b2o40b2o$2361b2o40b2o$3097b2o$2408bo688bo$2408b2o
685bobo$2o686b2o56b2o1378b2o56b2o221bobo685b2o$bo686b2o56b2o1378b2o56b
2o$bobo$2b2o1905b2o56b2o$1909b2o56b2o3$3097b2o$3097bo$3095bobo$2o3093b
2o$bo$bobo1963b2o$2b2o1963bobo62bo101b2o40b2o175b2o56b2o$1967bo62bobo
101b2o40b2o175b2o56b2o$2031b2o2$2087bo1009b2o$915b2o56b2o1110b2o207bob
o800bo$915b2o56b2o1111b2o206b2o799bobo$2295bo799b2o$2o1130b2o56b2o$bo
1130b2o56b2o1038bo$bobo2224bobo$2b2o2225b2o3$2348bo$2348b2o747b2o$
2347bobo747bo$3095bobo$2o686b2o56b2o1378b2o56b2o909b2o$bo686b2o56b2o
1378b2o56b2o$bobo$2b2o1905b2o56b2o$1909b2o56b2o3$3097b2o$3097bo$3095bo
bo$2o2025b2o1066b2o$bo2025bobo144b2o$bobo1960bo62bo144bo$2b2o1959bobo
207bo3bo175b2o56b2o$1966bo208bobo175b2o56b2o$1961b3o2bo$1960b2o3b2o$
1961b2ob2o1131b2o$915b2o56b2o987b2ob2o1130bo$915b2o56b2o988bo2bo1128bo
bo$1963bo2bo1128b2o$2o1130b2o56b2o721bo51b2o$bo1130b2o56b2o720b3o$bobo
1907bo2b2o$2b2o1907bo$1912bo54b2o319bo$1916bo50b2o319b2o$1914bobo370bo
bo$1915b2o1180b2o$3097bo$3095bobo$2o686b2o56b2o1208bobo167b2o56b2o909b
2o$bo686b2o56b2o1208b2o168b2o56b2o171b2o$bobo1953bo397b2obo$2b2o2351b
2o$2357b2o$2359b2o42b3o$2404bo$1917b2o40b2o397bobo43b3o690b2o$1917b2o
40b2o398bo737bo$3095bobo$2o3093b2o$bo$bobo$2b2o3$2413b2o$2361b2o40b2o
8b2o682b2o$915b2o56b2o1386b2o40b2o692bo$915b2o56b2o2120bobo$3095b2o$2o
1130b2o56b2o$bo1130b2o56b2o$bobo2411bo$2b2o2410bobo$1909b2o56b2o444bo
3bo$1909b2o56b2o444bo3bo$2413bo$2414b3o680b2o$3097bo$2179bo915bobo$2o
686b2o56b2o1431bo915b2o$bo686b2o56b2o1381b2o48bo$bobo2124b3o$2b2o2120b
2o2b2o2b2o41bo2bo7b2o$2124b2o6b3o41b2o2bobo3b2o165b2o56b2o$1907b2o222b
o3bo41bo3b2o170b2o56b2o$1907bobo223b3o45bo$1907bo9b2o40b2o170bo4bo960b
2o$1917b2o40b2o171b2ob2o960bo$2132bo3bo958bobo$2o2131b3o959b2o$bo$bobo
$2b2o$2122b2o64b2o$2122b2o64b2o2$2361b2o40b2o692b2o$915b2o56b2o1386b2o
40b2o692bo$915b2o56b2o2120bobo$2408bo686b2o$2o1130b2o56b2o1216b2o$bo
1130b2o56b2o934b2o56b2o221bobo$bobo2122b2o56b2o$2b2o$1909b2o56b2o$
1909b2o56b2o2$3097b2o$3097bo$3095bobo$2o686b2o56b2o2347b2o$bo686b2o56b
2o$bobo$2b2o1963b2o$1967bobo62bo101b2o40b2o175b2o56b2o$1967bo62bobo
101b2o40b2o175b2o56b2o$2031b2o$3097b2o$2087bo1009bo$2085b2o207bobo798b
obo$2o2084b2o206b2o799b2o$bo2293bo$bobo$2b2o2226bo$2228bobo$2229b2o2$
3097b2o$915b2o56b2o1373bo748bo$915b2o56b2o1373b2o745bobo$2347bobo745b
2o$2o1130b2o56b2o$bo1130b2o56b2o934b2o56b2o$bobo2122b2o56b2o$2b2o$
1909b2o56b2o$1909b2o56b2o2$3097b2o$3097bo$3095bobo$2o686b2o56b2o2347b
2o$bo686b2o56b2o1279b2o$bobo2023bobo144b2o$2b2o2023bo144bo$2173bo3bo
175b2o56b2o$2175bobo175b2o56b2o2$3097b2o$3097bo$3095bobo$2o3093b2o$bo$
bobo$2b2o2$315b3o$315bo1972bo$316bo1971b2o807b2o$915b2o56b2o1312bobo
807bo$915b2o56b2o2120bobo$3095b2o$2o1130b2o56b2o$bo1130b2o56b2o934b2o
56b2o$bobo2122b2o56b2o$2b2o$1909b2o56b2o$1909b2o56b2o2$3097b2o$3097bo$
3095bobo$2o686b2o56b2o2347b2o$bo686b2o56b2o$bobo$2b2o$2353b2o56b2o$
2353b2o56b2o2$3097b2o$3097bo$3095bobo$2o3093b2o$bo$bobo$2b2o371b3o$
375bo$376bo2$3097b2o$915b2o56b2o2122bo$915b2o56b2o2120bobo$3095b2o$2o
1130b2o56b2o$bo1130b2o56b2o934b2o56b2o$bobo2122b2o56b2o$2b2o$1909b2o
56b2o$1909b2o56b2o2$3097b2o$3097bo$3095bobo$2o686b2o56b2o2347b2o$bo
686b2o56b2o$bobo$2b2o$2353b2o56b2o$2353b2o56b2o2$3097b2o$3097bo$3095bo
bo$2o3093b2o$bo433b3o$bobo431bo$2b2o432bo4$3097b2o$915b2o56b2o2122bo$
915b2o56b2o2120bobo$3095b2o$2o$bo1134b2o988b2o56b2o$bobo1128b3ob2o988b
2o56b2o$2b2o1127b6o$1130b3o51b3o$1139bo43b2o2bo775b3obo$1138b3o41bobob
2o781bo$1138bo2bo43b3o4b3o720bo47b2o5bo1126b2o$1139b3o772b4o47b2o3bo
1126bo$1140bo772bo46b3o6bo1125bobo$2o685b3o1217bo4bo3bo43bobo1132b2o$b
o685bo1219bo5bobo43bo2bo$bobo681bobobo1217bo6bo44bobo$2b2o679b3o2b2o
1269b3o450bo$683b2o57bo5b3o377b2o64b2o1216b2o$683b2o56b2o385b2o64b2o
1215bobo$738bo3b2o4b3o1660bobobo$687bo8b3o39bo9b3o1600bo59b2ob2obo679b
2o$738bo1166b2o64b2o378bo6b2o58bo678bo$495b3o187bo1219b2o64b2o386bo56b
2o677bobo$2o493bo190bo1663bobo4b3o43bo691b2o$bo494bo1853bobo8b3o39bo$b
obo1128b2o56b2o1159bo51bo$2b2o1128b2o56b2o$684b2o64b2o$684b2o64b2o$
1909b2o56b2o$1909b2o56b2o1128b2o$915b2o56b2o1374b2o64b2o680bo$915b2o
56b2o1374b2o64b2o678bobo$913b3o2179b2o$2o913bo$bo686b2o56b2o162bo5bob
2obo1204b2o56b2o$bobo684b2o56b2o161bo6b2o3b2o302bo900b2o$2b2o905bobo
10b2o46bo3bo251bo$910bo5bo2b2o48bo3bob2o4bo158b2o40b2o40b3o957b2o$913b
3o5b2o5bo40bo3bob2o5bo157b2o40b2o994b3obob2o167b2o56b2o$917bo2bo6b3o
39bo2b2ob4o3bo1194bob2ob3o6bo161b2o56b2o$659bobo255bo11bo2b3o23bo5b2o
3bo4b2o2bo4bo110bo779bobo248b2o50b2obo2b2o6bo905b2o$659b2o244b2o20b2o
29b2o3b3o2bo2bo7b5o108b2o780b2o41b2o40b2o163bo2bo2b2o45bo2bo4b2o3bo
906bo$660bo243bob2ob2o6b2o7bo30bo4bo2bo2b3o8bo3bo109b2o780bo41b2o40b2o
157b2o7bo2b3o38b3o5bobo2b3o908bobo$2o901b2o2b2ob2o6b2o42b6obo10bobo
1134b2o3bo4b2ob3o34bo3bobo5bo4bobo908b2o$bo778bo123bo6bobo8bo2bo36bob
5o11b2o7bo1017bo109bo2bobo2b4ob3o2bobo3b2o24bo3bo269bo$bobo777bo123b4o
b2ob2o7bobo33b2ob3o2b3o18bobo1018bo107b2ob4o9bobo2bo3b3o23bo4b2o8b2o9b
3o243bobo$2b2o775b3o124bo5b2o45bo2b2o24b2o1016b3o108bo3bo8bo7bo3bo30bo
7b3o5b3o4b2o242b2o$656b3o37b2o40b2o167b2obobo9b2o35b3o1156bob2o8bo7b2o
41b3o4b2o2b3ob2o$656bo39b2o40b2o1372bo6b2o10bo45bo8b2o8b2o$657bo237bob
o57b2o2b2o1149b2o20bo6b4o34bo8bo2b2o2b3o123bobo$555b3o337b2o1214b2o20b
o3bo40bo7bo3bo4bo123b2o122bo653b2o$555bo340bo1241b4o45b3o3bo126bo40b2o
40b2o38b2o652bo$556bo358b2o56b2o1164bo221b2o40b2o37bobo650bobo$2o913b
2o56b2o1230bo889b2o$bo2201bobo$bobo1128b2o56b2o1012b2o$2b2o1128b2o56b
2o934b2o56b2o$2126b2o56b2o2$1909b2o56b2o$1150bo758b2o56b2o1128b2o$
1148b2o1947bo$1149b2o1944bobo$3095b2o$2o722bo1226bo$bo686b2o35bo20b2o
175b2o40b2o212bo772bo$bobo684b2o33b3o20b2o175b2o40b2o210bobo770b3o$2b
2o1174b2o$1140b2o40b2o$707bo243bobo186b2o40b2o738bo211b2o40b2o175b2o
20bobo33b2o$705b2o244b2o967b2o212b2o40b2o175b2o20b2o34b2o$706b2o244bo
968b2o453bo720b2o$1917b2o40b2o1136bo$942bo974b2o40b2o188bo244bo700bobo
$2o941bo1203bobo245bo699b2o$bo939b3o1204b2o243b3o$bobo712b3o$2b2o712bo
$696b2o19bo20b2o1417bobo$615b3o78b2o40b2o1417b2o224bo$615bo1542bo224b
2o$616bo1765bobo712b2o$2361b2o40b2o692bo$915b2o56b2o1386b2o40b2o690bob
o$2o913b2o56b2o2120b2o$bo$bobo1128b2o56b2o$2b2o1128b2o56b2o934b2o56b2o
$2126b2o56b2o2$1909b2o56b2o$1909b2o56b2o1128b2o$3097bo$3095bobo$3095b
2o$2o$bo686b2o56b2o175b2o40b2o$bobo684b2o56b2o175b2o40b2o$2b2o2$2134b
2o40b2o175b2o56b2o$2134b2o40b2o175b2o56b2o$3097b2o$3097bo$3095bobo$2o
774b3o2316b2o$bo774bo$bobo773bo$2b2o671b3o1645bo$675bo1647b2o$676bo
1645bobo2$3097b2o$3097bo$915b2o56b2o2120bobo$2o913b2o56b2o2120b2o$bo$b
obo1128b2o56b2o$2b2o1128b2o56b2o934b2o56b2o$2126b2o56b2o2$1909b2o56b2o
$1909b2o56b2o1128b2o$3097bo$3095bobo$3095b2o$2o1283bo$bo686b2o56b2o
538bo$bobo684b2o56b2o536b3o$2b2o2$1814bobo536b2o56b2o$1814b2o537b2o56b
2o$1815bo1281b2o$836b3o2258bo$836bo2258bobo$2o835bo2257b2o$bo733b3o
1525bo$bobo731bo1527b2o$2b2o732bo1525bobo4$3097b2o$3097bo$915b2o56b2o
2120bobo$2o913b2o56b2o2120b2o$bo$bobo1128b2o56b2o$2b2o1128b2o56b2o934b
2o56b2o$2126b2o56b2o2$1909b2o56b2o$1909b2o56b2o1128b2o$3097bo$3095bobo
$3095b2o$2o$bo686b2o56b2o$bobo684b2o56b2o$2b2o2$2353b2o56b2o$2353b2o
56b2o$3097b2o$3097bo$795b3o2297bobo$2o793bo2299b2o$bo794bo$bobo$2b2o4$
3097b2o$3097bo$915b2o56b2o2120bobo$2o913b2o56b2o2120b2o$bo$bobo1128b2o
56b2o$2b2o1128b2o56b2o934b2o56b2o$2126b2o56b2o2$1909b2o56b2o$1909b2o
56b2o1128b2o$3097bo$3095bobo$3095b2o$2o$bo686b2o56b2o$bobo684b2o56b2o$
2b2o2$2353b2o56b2o$2353b2o56b2o$855b3o2239b2o$855bo2241bo$856bo2238bob
o$2o3093b2o$bo$bobo$2b2o4$3097b2o$3097bo$915b2o56b2o2120bobo$2o913b2o
56b2o2120b2o$bo$bobo1128b2o56b2o$2b2o1128b2o56b2o934b2o56b2o$2126b2o
56b2o2$1909b2o56b2o$1909b2o56b2o1128b2o$3097bo$1345bo1749bobo$1346bo
1748b2o$2o1342b3o$bo686b2o56b2o$bobo684b2o56b2o$2b2o1750bobo$1754b2o$
915b3o837bo597b2o56b2o$915bo1437b2o56b2o$916bo2180b2o$3097bo$3095bobo$
2o3093b2o$bo$bobo$2b2o4$3097b2o$3097bo$915b2o56b2o2120bobo$2o913b2o56b
2o2120b2o$bo$bobo1128b2o56b2o$2b2o1128b2o56b2o934b2o56b2o$2126b2o56b2o
2$1909b2o56b2o$1909b2o56b2o1128b2o$3097bo$3095bobo$3095b2o$2o$bo686b2o
56b2o$bobo684b2o56b2o$2b2o971b3o$975bo$976bo1376b2o56b2o$2353b2o56b2o$
3097b2o$3097bo$3095bobo$2o3093b2o$bo$bobo$2b2o4$3097b2o$3097bo$915b2o
56b2o2120bobo$2o913b2o56b2o2120b2o$bo$bobo1128b2o56b2o$2b2o1128b2o56b
2o934b2o56b2o$2126b2o56b2o2$1909b2o56b2o$1909b2o56b2o1128b2o$3097bo$
3095bobo$3095b2o$2o$bo686b2o56b2o287b3o$bobo684b2o56b2o287bo$2b2o1032b
o2$2353b2o56b2o$2353b2o56b2o$3097b2o$3097bo$3095bobo$2o3093b2o$bo$bobo
$2b2o4$3097b2o$3097bo$915b2o56b2o2120bobo$2o913b2o56b2o2120b2o$bo$bobo
1128b2o56b2o$2b2o1128b2o56b2o934b2o56b2o$2126b2o56b2o2$1909b2o56b2o$
1405bo503b2o56b2o1128b2o$1406bo1690bo$1404b3o1688bobo$1095b3o1997b2o$
2o1093bo$bo686b2o56b2o348bo597bobo$bobo684b2o56b2o946b2o$2b2o1691bo2$
2353b2o56b2o$2353b2o56b2o$3097b2o$3097bo$3095bobo$2o3093b2o$bo$bobo$2b
2o4$3097b2o$3097bo$915b2o56b2o2120bobo$2o913b2o56b2o2120b2o$bo$bobo
1128b2o56b2o$2b2o1128b2o56b2o934b2o56b2o$2126b2o56b2o2$1909b2o56b2o$
1909b2o56b2o1128b2o$1155b3o1939bo$1155bo1939bobo$1156bo1938b2o$2o$bo
686b2o56b2o$bobo684b2o56b2o$2b2o2$2353b2o56b2o$2353b2o56b2o$3097b2o$
3097bo$3095bobo$2o3093b2o$bo$bobo$2b2o4$3097b2o$3097bo$915b2o56b2o
2120bobo$2o913b2o56b2o2120b2o$bo$bobo1128b2o56b2o$2b2o1128b2o56b2o934b
2o56b2o$2126b2o56b2o2$1215b3o691b2o56b2o$1215bo693b2o56b2o1128b2o$
1216bo1880bo$3095bobo$3095b2o$2o$bo686b2o56b2o$bobo684b2o56b2o$2b2o2$
2353b2o56b2o$2353b2o56b2o$3097b2o$3097bo$3095bobo$2o3093b2o$bo$bobo$2b
2o4$3097b2o$3097bo$915b2o56b2o2120bobo$2o913b2o56b2o2120b2o$bo$bobo
1128b2o56b2o$2b2o1128b2o56b2o934b2o56b2o$1275b3o848b2o56b2o$1275bo189b
o$1276bo189bo442b2o56b2o$1464b3o442b2o56b2o1128b2o$3097bo$3095bobo$
1634bobo1458b2o$2o1632b2o$bo686b2o56b2o887bo$bobo684b2o56b2o$2b2o2$
2353b2o56b2o$2353b2o56b2o$3097b2o$3097bo$3095bobo$2o3093b2o$bo$bobo$2b
2o4$3097b2o$3097bo$915b2o56b2o2120bobo$2o913b2o56b2o2120b2o$bo$bobo
1128b2o56b2o143b3o$2b2o1128b2o56b2o143bo790b2o56b2o$1336bo789b2o56b2o
2$1909b2o56b2o$1909b2o56b2o1128b2o$3097bo$3095bobo$3095b2o$2o$bo686b2o
56b2o$bobo684b2o56b2o$2b2o2$2353b2o56b2o$2353b2o56b2o$3097b2o$3097bo$
3095bobo$2o3093b2o$bo$bobo$2b2o4$3097b2o$3097bo$915b2o56b2o2120bobo$2o
913b2o56b2o420b3o1697b2o$bo1393bo$bobo1128b2o56b2o204bo$2b2o1128b2o56b
2o934b2o56b2o$2126b2o56b2o2$1909b2o56b2o$1909b2o56b2o1128b2o$3097bo$
3095bobo$3095b2o$2o1134bo$bo686b2o56b2o387bobo$bobo684b2o56b2o386bo$2b
2o1130bo2b3o$1134b2o3b2o$1135b2ob2o1213b2o56b2o$1134b2ob2o1214b2o56b2o
$1134bo2bo1959b2o$1134bo2bo1959bo$1134b2o51bo1907bobo$2o1184b3o1906b2o
$bo1183b2o2bo$bobo1185bo$2b2o1128b2o54bo$1132b2o50bo$1184bobo$1184b2o$
3097b2o$1455b3o1639bo$915b2o56b2o167bobo310bo1639bobo$2o740b2o171b2o
56b2o168b2o311bo1638b2o$bo740bob2o397bo$bobo740b2o$2b2o738b2o781bo600b
2o56b2o$695b3o42b2o784bo599b2o56b2o$696bo827b3o$694b3o43bobo397b2o40b
2o725b2o56b2o$741bo398b2o40b2o725b2o56b2o1128b2o$1574bobo1520bo$1574b
2o1519bobo$1575bo1519b2o$2o$bo$bobo$2b2o$686b2o$686b2o8b2o40b2o1613b2o
56b2o$696b2o40b2o1613b2o56b2o$3097b2o$3097bo$3095bobo$2o3093b2o$bo683b
o$bobo680bobo$2b2o679bo3bo444b2o56b2o$683bo3bo444b2o56b2o$687bo$684b3o
828b3o$1515bo1581b2o$921bo594bo1580bo$921bo2173bobo$2o919bo48b2o2123b
2o$bo968b3o$bobo909b2o7bo2bo41b2o2b2o2b2o$2b2o684b2o56b2o165b2o3bobo2b
2o41b3o6b2o1149b2o56b2o$688b2o56b2o170b2o3bo41bo3bo222b2o932b2o56b2o$
919bo45b3o223bobo$964bo4bo170b2o40b2o9bo715b2o56b2o$964b2ob2o171b2o40b
2o725b2o56b2o1128b2o$964bo3bo2128bo$965b3o2127bobo$3095b2o$2o$bo$bobo
907b2o64b2o$2b2o907b2o64b2o2$696b2o40b2o1613b2o56b2o$696b2o40b2o1613b
2o56b2o$3097b2o$692bo2404bo$691b2o2402bobo$2o689bobo221b2o56b2o2120b2o
$bo913b2o56b2o$bobo$2b2o1128b2o56b2o$1132b2o56b2o3$3097b2o$3097bo$
3095bobo$2o3093b2o$bo$bobo1128b2o$2b2o684b2o56b2o175b2o40b2o101bo62bob
o992b2o56b2o$688b2o56b2o175b2o40b2o101bobo62bo992b2o56b2o$1068b2o$
1909b2o56b2o$1013bo895b2o56b2o1128b2o$804bobo207b2o2081bo$805b2o206b2o
2080bobo$805bo2289b2o$2o$bo868bo$bobo866bobo$2b2o866b2o2$2353b2o56b2o$
752bo1600b2o56b2o$751b2o2344b2o$751bobo2343bo$3095bobo$2o913b2o56b2o
2120b2o$bo913b2o56b2o$bobo$2b2o1128b2o56b2o$1132b2o56b2o3$3097b2o$
3097bo$3095bobo$2o1070b2o2021b2o$bo923b2o144bobo$bobo924bo144bo62bo$2b
2o684b2o56b2o175bo3bo207bobo988b2o56b2o$688b2o56b2o175bobo208bo991b2o
56b2o$1134bo2b3o$1134b2o3b2o768b2o56b2o$1135b2ob2o769b2o56b2o1128b2o$
1134b2ob2o1958bo$1134bo2bo1957bobo$1134bo2bo1957b2o$2o1132b2o51bo$bo
1184b3o$bobo1181b2o2bo$2b2o1185bo$812bo319b2o54bo$811b2o319b2o50bo
1168b2o56b2o$811bobo370bobo1166b2o56b2o$1184b2o1911b2o$3097bo$3095bobo
$2o913b2o56b2o167bobo1950b2o$bo740b2o171b2o56b2o168b2o$bobo738bob2o
397bo$2b2o740b2o$742b2o$695b3o42b2o$696bo$694b3o43bobo397b2o40b2o1913b
2o$741bo398b2o40b2o1913bo$3095bobo$2o3093b2o$bo$bobo$2b2o2122b2o56b2o$
2126b2o56b2o2$686b2o1221b2o56b2o$686b2o8b2o40b2o1169b2o56b2o1128b2o$
696b2o40b2o2357bo$3095bobo$3095b2o$2o$bo$bobo681bo$2b2o680bobo$683bo3b
o444b2o56b2o$683bo3bo444b2o56b2o1161b2o56b2o$687bo1665b2o56b2o$684b3o
2410b2o$3097bo$921bo2173bobo$2o919bo2173b2o$bo919bo48b2o$bobo966b3o$2b
2o909b2o7bo2bo41b2o2b2o2b2o$688b2o56b2o165b2o3bobo2b2o41b3o6b2o$688b2o
56b2o170b2o3bo41bo3bo222b2o$919bo45b3o223bobo$964bo4bo170b2o40b2o9bo
1903b2o$964b2ob2o171b2o40b2o1913bo$964bo3bo2126bobo$2o963b3o2127b2o$bo
$bobo$2b2o2122b2o56b2o$911b2o64b2o1147b2o56b2o$911b2o64b2o$1909b2o56b
2o$696b2o40b2o1169b2o56b2o1128b2o$696b2o40b2o2357bo$3095bobo$692bo
2402b2o$2o689b2o$bo689bobo221b2o56b2o$bobo911b2o56b2o$2b2o$1132b2o56b
2o$1132b2o56b2o1161b2o56b2o$2353b2o56b2o$3097b2o$3097bo$3095bobo$2o
3093b2o$bo$bobo$2b2o1128b2o$688b2o56b2o175b2o40b2o101bo62bobo$688b2o
56b2o175b2o40b2o101bobo62bo$1068b2o$3097b2o$1013bo2083bo$804bobo207b2o
2079bobo$2o803b2o206b2o2080b2o$bo803bo$bobo$2b2o866bo1255b2o56b2o$870b
obo1253b2o56b2o$870b2o$1909b2o56b2o$1909b2o56b2o1128b2o$752bo2344bo$
751b2o2342bobo$751bobo2341b2o$2o$bo913b2o56b2o$bobo911b2o56b2o$2b2o$
1132b2o56b2o$1132b2o56b2o1161b2o56b2o$2353b2o56b2o$3097b2o$3097bo$
3095bobo$2o3093b2o$bo1070b2o$bobo921b2o144bobo$2b2o924bo144bo62bo$688b
2o56b2o175bo3bo207bobo$688b2o56b2o175bobo208bo$1134bo2b3o$1134b2o3b2o
1956b2o$1135b2ob2o1957bo$1134b2ob2o1956bobo$2o1132bo2bo1957b2o$bo1132b
o2bo$bobo1130b2o51bo$2b2o1182b3o937b2o56b2o$1185b2o2bo936b2o56b2o$
1189bo$812bo319b2o54bo720b2o56b2o$811b2o319b2o50bo724b2o56b2o1128b2o$
811bobo370bobo1910bo$1184b2o1909bobo$3095b2o$2o$bo913b2o56b2o167bobo$b
obo738b2o171b2o56b2o168b2o$2b2o738bob2o397bo$744b2o$742b2o1609b2o56b2o
$695b3o42b2o1611b2o56b2o$696bo2400b2o$694b3o43bobo397b2o40b2o1913bo$
741bo398b2o40b2o1911bobo$2o3093b2o$bo$bobo$2b2o4$686b2o2409b2o$686b2o
8b2o40b2o2357bo$696b2o40b2o2355bobo$2o3093b2o$bo$bobo$2b2o2122b2o56b2o
$685bo1440b2o56b2o$684bobo$683bo3bo444b2o56b2o717b2o56b2o$683bo3bo444b
2o56b2o717b2o56b2o1128b2o$687bo2409bo$684b3o2408bobo$3095b2o$2o919bo$b
o919bo$bobo917bo48b2o$2b2o966b3o$913b2o7bo2bo41b2o2b2o2b2o$688b2o56b2o
165b2o3bobo2b2o41b3o6b2o1376b2o56b2o$688b2o56b2o170b2o3bo41bo3bo222b2o
1159b2o56b2o$919bo45b3o223bobo1903b2o$964bo4bo170b2o40b2o9bo1903bo$
964b2ob2o171b2o40b2o1911bobo$2o962bo3bo2126b2o$bo963b3o$bobo$2b2o2$
911b2o64b2o$911b2o64b2o$3097b2o$696b2o40b2o2357bo$696b2o40b2o2355bobo$
2o3093b2o$bo690bo$bobo687b2o$2b2o687bobo221b2o56b2o1151b2o56b2o$915b2o
56b2o1151b2o56b2o2$1132b2o56b2o717b2o56b2o$1132b2o56b2o717b2o56b2o
1128b2o$3097bo$3095bobo$3095b2o$2o$bo$bobo$2b2o$1132b2o$688b2o56b2o
175b2o40b2o101bo62bobo1219b2o56b2o$688b2o56b2o175b2o40b2o101bobo62bo
1219b2o56b2o$1068b2o2027b2o$3097bo$1013bo2081bobo$2o802bobo207b2o2079b
2o$bo803b2o206b2o$bobo801bo$2b2o$870bo$870bobo$870b2o$3097b2o$3097bo$
752bo2342bobo$2o749b2o2342b2o$bo749bobo$bobo$2b2o911b2o56b2o1151b2o56b
2o$915b2o56b2o1151b2o56b2o2$1132b2o56b2o717b2o56b2o$1132b2o56b2o717b2o
56b2o1128b2o$3097bo$3095bobo$3095b2o$2o$bo$bobo1068b2o$2b2o921b2o144bo
bo$928bo144bo$688b2o56b2o175bo3bo1425b2o56b2o$688b2o56b2o175bobo1427b
2o56b2o$3097b2o$3097bo$3095bobo$2o3093b2o$bo$bobo$2b2o4$812bo2284b2o$
811b2o2284bo$811bobo2281bobo$2o3093b2o$bo$bobo$2b2o911b2o56b2o1151b2o
56b2o$915b2o56b2o1151b2o56b2o2$1132b2o56b2o717b2o56b2o$1132b2o56b2o
717b2o56b2o1128b2o$3097bo$3095bobo$3095b2o$2o$bo$bobo$2b2o2$688b2o56b
2o1605b2o56b2o$688b2o56b2o1605b2o56b2o$3097b2o$3097bo$3095bobo$2o3093b
2o$bo$bobo$2b2o4$3097b2o$3097bo$3095bobo$2o3093b2o$bo$bobo$2b2o911b2o
56b2o1151b2o56b2o$915b2o56b2o1151b2o56b2o2$1132b2o56b2o717b2o56b2o$
1132b2o56b2o717b2o56b2o1128b2o$3097bo$3095bobo$3095b2o$2o$bo$bobo$2b2o
2$688b2o56b2o1605b2o56b2o$688b2o56b2o1605b2o56b2o$3097b2o$3097bo$3095b
obo$2o3093b2o$bo$bobo$2b2o4$3097b2o$3097bo$3095bobo$2o3093b2o!

[Fair warning: the eaters along the edges in this sample pattern aren't really quite evenly spaced, so they eventually fail, starting around T=50000. Not that this really matters, of course -- the eaters are just for cleanup, not really part of the spaceship. A good way to fix that 10-cell phase shift would be to add more rephasers, to make a total of 31 Herschel climbers on each block trail.]

I haven't looked yet to see if there's a way to do the same alignment trick with fewer rephasers.
dvgrn
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Re: 31c/240 caterpillar working notes

Postby dvgrn » January 9th, 2014, 12:24 pm

dvgrn wrote:I haven't looked yet to see if there's a way to do the same alignment trick with fewer rephasers.

Well, how about this?

x = 1751, y = 1800, rule = B3/S23
1618b2o56b2o$1618b2o56b2o17$1391b2o56b2o$1391b2o56b2o2$1174b2o56b2o$
1174b2o56b2o9$1618b2o56b2o$1618b2o56b2o17$1391b2o56b2o$1391b2o56b2o2$
1174b2o56b2o$1174b2o56b2o9$1618b2o56b2o$1618b2o56b2o17$1391b2o56b2o$
1391b2o56b2o2$1174b2o56b2o$1174b2o56b2o9$1618b2o56b2o$1618b2o56b2o17$
1391b2o56b2o$1391b2o56b2o2$1174b2o56b2o$1174b2o56b2o9$1618b2o56b2o$
1618b2o56b2o17$300b2o56b2o1031b2o56b2o$300b2o56b2o1031b2o56b2o2$517b2o
56b2o597b2o56b2o$517b2o56b2o597b2o56b2o9$73b2o56b2o1485b2o56b2o$73b2o
56b2o1485b2o56b2o17$300b2o56b2o1031b2o56b2o$300b2o56b2o1031b2o56b2o2$
517b2o56b2o597b2o56b2o$517b2o56b2o597b2o56b2o9$73b2o56b2o1485b2o56b2o$
73b2o56b2o1485b2o56b2o17$300b2o56b2o1031b2o56b2o$300b2o56b2o1031b2o56b
2o2$517b2o56b2o597b2o56b2o$517b2o56b2o597b2o56b2o9$73b2o56b2o1485b2o
56b2o$73b2o56b2o1485b2o56b2o17$300b2o56b2o1031b2o56b2o$300b2o56b2o
1031b2o56b2o2$517b2o56b2o597b2o56b2o$517b2o56b2o597b2o56b2o9$73b2o56b
2o1485b2o56b2o$73b2o56b2o1485b2o56b2o17$300b2o56b2o1031b2o56b2o$300b2o
56b2o1031b2o56b2o2$517b2o56b2o597b2o56b2o$517b2o56b2o597b2o56b2o9$73b
2o56b2o1485b2o56b2o$73b2o56b2o1485b2o56b2o17$300b2o56b2o1031b2o56b2o$
300b2o56b2o1031b2o56b2o2$517b2o56b2o597b2o56b2o$517b2o56b2o597b2o56b2o
9$73b2o56b2o1485b2o56b2o$73b2o56b2o1485b2o56b2o17$300b2o56b2o1031b2o
56b2o$300b2o56b2o1031b2o56b2o2$517b2o56b2o597b2o56b2o$517b2o56b2o597b
2o56b2o9$73b2o56b2o1485b2o56b2o$73b2o56b2o1485b2o56b2o17$300b2o56b2o
1031b2o56b2o$300b2o56b2o1031b2o56b2o2$517b2o56b2o597b2o56b2o$517b2o56b
2o597b2o56b2o9$73b2o56b2o1485b2o56b2o$73b2o56b2o1485b2o56b2o17$300b2o
56b2o1031b2o56b2o$300b2o56b2o1031b2o56b2o2$517b2o56b2o597b2o56b2o$517b
2o56b2o597b2o56b2o9$73b2o56b2o1485b2o56b2o$73b2o56b2o1485b2o56b2o17$
300b2o56b2o1031b2o56b2o$300b2o56b2o1031b2o56b2o2$517b2o56b2o597b2o56b
2o$517b2o56b2o597b2o56b2o9$73b2o56b2o1485b2o56b2o$73b2o56b2o1485b2o56b
2o17$300b2o56b2o1031b2o56b2o$300b2o56b2o1031b2o56b2o2$517b2o56b2o597b
2o56b2o$517b2o56b2o597b2o56b2o9$73b2o56b2o1485b2o56b2o$73b2o56b2o1485b
2o56b2o17$300b2o56b2o1031b2o56b2o$300b2o56b2o1031b2o56b2o2$517b2o56b2o
597b2o56b2o$517b2o56b2o597b2o56b2o9$73b2o56b2o1485b2o56b2o$73b2o56b2o
1485b2o56b2o17$300b2o56b2o1031b2o56b2o$300b2o56b2o1031b2o56b2o2$517b2o
56b2o597b2o56b2o$517b2o56b2o597b2o56b2o9$73b2o56b2o1485b2o56b2o$73b2o
56b2o1485b2o56b2o17$300b2o56b2o1031b2o56b2o$300b2o56b2o1031b2o56b2o2$
517b2o56b2o597b2o56b2o$517b2o56b2o597b2o56b2o9$73b2o56b2o1485b2o56b2o$
73b2o56b2o1485b2o56b2o17$300b2o56b2o1031b2o56b2o$300b2o56b2o1031b2o56b
2o2$517b2o56b2o597b2o56b2o$517b2o56b2o597b2o56b2o9$73b2o56b2o1485b2o
56b2o$73b2o56b2o1485b2o56b2o17$300b2o56b2o1031b2o56b2o$300b2o56b2o
1031b2o56b2o2$517b2o56b2o597b2o56b2o$517b2o56b2o597b2o56b2o9$73b2o56b
2o1485b2o56b2o$73b2o56b2o1485b2o56b2o17$300b2o56b2o1031b2o56b2o$300b2o
56b2o1031b2o56b2o2$517b2o56b2o597b2o56b2o$517b2o56b2o597b2o56b2o9$73b
2o56b2o1485b2o56b2o$73b2o56b2o1485b2o56b2o17$300b2o56b2o1031b2o56b2o$
300b2o56b2o1031b2o56b2o2$517b2o56b2o597b2o56b2o$517b2o56b2o597b2o56b2o
9$73b2o56b2o1485b2o56b2o$73b2o56b2o1485b2o56b2o17$300b2o56b2o1031b2o
56b2o$300b2o56b2o1031b2o56b2o2$517b2o56b2o$517b2o56b2o651b2o$1228b2ob
3o$1229b6o$1179b3o51b3o$1178bo2b2o43bo$1178b2obobo41b3o$1171b3o4b3o43b
o2bo$1224b3o$1225bo$73b2o56b2o1543b3o$73b2o56b2o1545bo$1676bobobo$
1676b2o2b3o$1170b2o64b2o377b3o5bo57b2o$1170b2o64b2o385b2o56b2o$1615b3o
4b2o3bo$1615b3o9bo39b3o8bo$1627bo$1680bo$1679bo2$1174b2o56b2o$1174b2o
56b2o$1614b2o64b2o$1614b2o64b2o3$300b2o56b2o1031b2o56b2o$300b2o56b2o
1031b2o56b2o$1450b3o$517b2o56b2o873bo$517b2o56b2o867bob2obo5bo162b2o
56b2o$1140bo302b2o3b2o6bo161b2o56b2o$1139bo251bo3bo46b2o10bobo$1139b3o
40b2o40b2o158bo4b2obo3bo48b2o2bo5bo$1182b2o40b2o157bo5b2obo3bo40bo5b2o
5b3o$1383bo3b4ob2o2bo39b3o6bo2bo$1271bo110bo4bo2b2o4bo3b2o5bo23b3o2bo
11bo255bobo$1272b2o108b5o7bo2bo2b3o3b2o29b2o20b2o244b2o$1271b2o109bo3b
o8b3o2bo2bo4bo30bo7b2o6b2ob2obo243bo$73b2o56b2o1250bobo10bob6o42b2o6b
2ob2o2b2o$73b2o56b2o1243bo7b2o11b5obo36bo2bo8bobo6bo123bo$1376bobo18b
3o2b3ob2o33bobo7b2ob2ob4o123bo$1376b2o24b2o2bo45b2o5bo124b3o$1404b3o
35b2o9bobob2o167b2o40b2o37b3o$1626b2o40b2o39bo$1405b2o2b2o57bobo237bo$
1469b2o$1469bo$1391b2o56b2o$1391b2o56b2o2$1174b2o56b2o$1174b2o56b2o4$
1215bo$300b2o56b2o856b2o$300b2o56b2o855b2o2$517b2o56b2o1064bo$517b2o
56b2o609bo212b2o40b2o175b2o20bo35b2o$1186bobo210b2o40b2o175b2o20b3o33b
2o$1186b2o$1182b2o40b2o$1182b2o40b2o186bobo243bo$1413b2o244b2o$1413bo
244b2o2$1423bo$73b2o56b2o1289bo$73b2o56b2o1289b3o$1647b3o$1649bo$1626b
2o20bo19b2o$1626b2o40b2o78b3o$1750bo$1749bo2$1391b2o56b2o$1391b2o56b2o
2$1174b2o56b2o$1174b2o56b2o5$300b2o56b2o$300b2o56b2o2$517b2o56b2o$517b
2o56b2o822b2o40b2o175b2o56b2o$1399b2o40b2o175b2o56b2o8$73b2o56b2o1454b
3o$73b2o56b2o1456bo$1588bo$1688b3o$1690bo$1689bo4$1391b2o56b2o$1391b2o
56b2o2$1174b2o56b2o$1174b2o56b2o5$300b2o56b2o$300b2o56b2o2$517b2o56b2o
503bo$517b2o56b2o502bo538b2o56b2o$1079b3o536b2o56b2o6$1527b3o$1529bo$
73b2o56b2o1395bo$73b2o56b2o1495b3o$1630bo$1629bo6$1391b2o56b2o$1391b2o
56b2o2$1174b2o56b2o$1174b2o56b2o5$300b2o56b2o$300b2o56b2o2$517b2o56b2o
$517b2o56b2o1041b2o56b2o$1618b2o56b2o7$1568b3o$73b2o56b2o1437bo$73b2o
56b2o1436bo8$1391b2o56b2o$1391b2o56b2o2$1174b2o56b2o$1174b2o56b2o5$
300b2o56b2o$300b2o56b2o3$518bob3o1095b2o56b2o$516bo1101b2o56b2o$515bo
5b2o47bo$515bo3b2o47b4o$516bo6b3o46bo$523bobo43bo3bo4bo$523bo2bo43bobo
5bo929b3o$524bobo44bo6bo931bo$73bo450b3o982bo$72b2o$72bobo$70bobobo$
68bob2ob2o59bo$67bo58b2o6bo378b2o64b2o$68b2o56bo386b2o64b2o$82bo43b3o
4bobo$82bo39b3o8bobo$82bo51bo$1391b2o56b2o$1391b2o56b2o2$517b2o56b2o
597b2o56b2o$517b2o56b2o597b2o56b2o$69b2o64b2o$69b2o64b2o3$300b2o56b2o$
358b2o660bo$1019bo$300b2o717b3o$73b2o56b2o167b2obob3o1310b2o56b2o$73b
2o56b2o161bo6b3ob2obo1309b2o56b2o$294bo6b2o2bob2o50b2o248bobo$295bo3b
2o4bo2bo45b2o2bo2bo163b2o40b2o41b2o$299b3o2bobo5b3o38b3o2bo7b2o157b2o
40b2o41bo837b3o$299bobo4bo5bobo3bo34b3ob2o4bo3b2o1081bo$44bo269bo3bo
24b2o3bobo2b3ob4o2bobo2bo109bo970bo$44bobo243b3o9b2o8b2o4bo23b3o3bo2bo
bo9b4ob2o107bo$44b2o242b2o4b3o5b3o7bo30bo3bo7bo8bo3bo108b3o$288b2ob3o
2b2o4b3o41b2o7bo8b2obo$288b2o8b2o8bo45bo10b2o6bo$164bobo123b3o2b2o2bo
8bo34b4o6bo20b2o$42bo122b2o123bo4bo3bo7bo40bo3bo20b2o$41b2o38b2o40b2o
40bo126bo3b3o45b4o$41bobo37b2o40b2o221bo$280bo$280bobo$280b2o$300b2o
56b2o1031b2o56b2o$300b2o56b2o1031b2o56b2o2$517b2o56b2o597b2o56b2o$517b
2o56b2o597b2o56b2o4$534bo$533bo$533b3o3$73b2o33bobo20b2o175b2o40b2o
211bo1054b2o56b2o$73b2o34b2o20b2o175b2o40b2o212b2o1052b2o56b2o$109bo
453b2o823b3o$525b2o40b2o821bo$91bo244bo188b2o40b2o820bo$90bo245bobo$
90b3o243b2o3$326bobo$102bo224b2o$101b2o224bo$101bobo$81b2o40b2o$81b2o
40b2o4$300b2o56b2o1031b2o56b2o$300b2o56b2o1031b2o56b2o2$517b2o56b2o
597b2o56b2o$517b2o56b2o597b2o56b2o9$73b2o56b2o175b2o40b2o976b3o287b2o
56b2o$73b2o56b2o175b2o40b2o978bo287b2o56b2o$1329bo6$162bo$161b2o$161bo
bo8$300b2o56b2o1031b2o56b2o$300b2o56b2o1031b2o56b2o2$517b2o56b2o597b2o
56b2o$517b2o56b2o597b2o56b2o4$960bo$959bo$959b3o$1268b3o$1270bo$73b2o
56b2o536bobo597bo348b2o56b2o$73b2o56b2o537b2o946b2o56b2o$670bo4$222bo$
221b2o$221bobo10$300b2o56b2o1031b2o56b2o$300b2o56b2o1031b2o56b2o2$517b
2o56b2o597b2o56b2o$517b2o56b2o597b2o56b2o5$1208b3o$1210bo$1209bo2$73b
2o56b2o1485b2o56b2o$73b2o56b2o1485b2o56b2o17$300b2o56b2o1031b2o56b2o$
300b2o56b2o1031b2o56b2o2$517b2o56b2o597b2o56b2o$517b2o56b2o597b2o56b2o
3$1148b3o$1150bo$1149bo4$73b2o56b2o1485b2o56b2o$73b2o56b2o1485b2o56b2o
17$300b2o56b2o1031b2o56b2o$300b2o56b2o1031b2o56b2o2$517b2o56b2o597b2o
56b2o$517b2o56b2o597b2o56b2o$1088b3o$900bo189bo$899bo189bo$899b3o3$
729bobo$730b2o$73b2o56b2o597bo887b2o56b2o$73b2o56b2o1485b2o56b2o17$
300b2o56b2o1031b2o56b2o$300b2o56b2o1031b2o56b2o2$517b2o56b2o451b3o143b
2o56b2o$517b2o56b2o453bo143b2o56b2o$1029bo8$73b2o56b2o1485b2o56b2o$73b
2o56b2o1485b2o56b2o17$300b2o56b2o1031b2o56b2o$300b2o56b2o608b3o420b2o
56b2o$970bo$517b2o56b2o392bo204b2o56b2o$517b2o56b2o597b2o56b2o9$73b2o
56b2o1485b2o56b2o$73b2o56b2o1485b2o56b2o16$908b3o$300b2o56b2o550bo480b
2o56b2o$300b2o56b2o549bo481b2o56b2o2$517b2o56b2o597b2o56b2o$517b2o56b
2o263bo333b2o56b2o$839bo$839b3o3$789bobo$790b2o$790bo2$73b2o56b2o1485b
2o56b2o$73b2o56b2o1485b2o56b2o14$848b3o$850bo$849bo$300b2o56b2o1031b2o
56b2o$300b2o56b2o1031b2o56b2o2$1174b2o56b2o$521b2o651b2o56b2o$517b3ob
2o$516b6o$515b3o51b3o$524bo43b2o2bo$523b3o41bobob2o$523bo2bo43b3o4b3o$
524b3o$525bo$72b3o1543b2o56b2o$72bo1545b2o56b2o$70bobobo$68b3o2b2o$68b
2o57bo5b3o377b2o64b2o$68b2o56b2o385b2o64b2o$123bo3b2o4b3o$72bo8b3o39bo
9b3o$123bo$70bo$71bo2$517b2o56b2o$517b2o56b2o$69b2o64b2o$69b2o64b2o3$
300b2o56b2o1031b2o56b2o$300b2o56b2o1031b2o56b2o$298b3o$300bo873b2o56b
2o$73b2o56b2o162bo5bob2obo867b2o56b2o$73b2o56b2o161bo6b2o3b2o302bo$
294bobo10b2o46bo3bo251bo$295bo5bo2b2o48bo3bob2o4bo158b2o40b2o40b3o$
298b3o5b2o5bo40bo3bob2o5bo157b2o40b2o$302bo2bo6b3o39bo2b2ob4o3bo$44bob
o255bo11bo2b3o23bo5b2o3bo4b2o2bo4bo110bo$44b2o244b2o20b2o29b2o3b3o2bo
2bo7b5o108b2o$45bo243bob2ob2o6b2o7bo30bo4bo2bo2b3o8bo3bo109b2o$288b2o
2b2ob2o6b2o42b6obo10bobo1250b2o56b2o$165bo123bo6bobo8bo2bo36bob5o11b2o
7bo1243b2o56b2o$166bo123b4ob2ob2o7bobo33b2ob3o2b3o18bobo$164b3o124bo5b
2o45bo2b2o24b2o$41b3o37b2o40b2o167b2obobo9b2o35b3o$41bo39b2o40b2o$42bo
237bobo57b2o2b2o$280b2o$281bo$300b2o56b2o$300b2o56b2o2$517b2o56b2o$
517b2o56b2o4$535bo$533b2o856b2o56b2o$534b2o855b2o56b2o2$109bo1064b2o
56b2o$73b2o35bo20b2o175b2o40b2o212bo609b2o56b2o$73b2o33b3o20b2o175b2o
40b2o210bobo$563b2o$525b2o40b2o$92bo243bobo186b2o40b2o$90b2o244b2o$91b
2o244bo2$327bo$328bo1289b2o56b2o$326b3o1289b2o56b2o$101b3o$101bo$81b2o
19bo20b2o$3o78b2o40b2o$o$bo2$300b2o56b2o$300b2o56b2o2$517b2o56b2o$517b
2o56b2o5$1391b2o56b2o$1391b2o56b2o2$1174b2o56b2o$73b2o56b2o175b2o40b2o
822b2o56b2o$73b2o56b2o175b2o40b2o8$161b3o1454b2o56b2o$161bo1456b2o56b
2o$162bo$60b3o$60bo$61bo4$300b2o56b2o$300b2o56b2o2$517b2o56b2o$517b2o
56b2o5$1391b2o56b2o$1391b2o56b2o2$670bo503b2o56b2o$73b2o56b2o538bo502b
2o56b2o$73b2o56b2o536b3o6$221b3o$221bo$222bo1395b2o56b2o$120b3o1495b2o
56b2o$120bo$121bo6$300b2o56b2o$300b2o56b2o2$517b2o56b2o$517b2o56b2o5$
1391b2o56b2o$1391b2o56b2o2$1174b2o56b2o$73b2o56b2o1041b2o56b2o$73b2o
56b2o7$180b3o$180bo1437b2o56b2o$181bo1436b2o56b2o8$300b2o56b2o$300b2o
56b2o2$517b2o56b2o$517b2o56b2o5$1391b2o56b2o$1391b2o56b2o3$73b2o56b2o
1095b3obo$73b2o56b2o1101bo$1180bo47b2o5bo$1179b4o47b2o3bo$1178bo46b3o
6bo$1172bo4bo3bo43bobo$240b3o929bo5bobo43bo2bo$240bo931bo6bo44bobo$
241bo982b3o450bo$1677b2o$1676bobo$1676bobobo$1616bo59b2ob2obo$1170b2o
64b2o378bo6b2o58bo$1170b2o64b2o386bo56b2o$1615bobo4b3o43bo$1615bobo8b
3o39bo$1616bo51bo$300b2o56b2o$300b2o56b2o2$517b2o56b2o597b2o56b2o$517b
2o56b2o597b2o56b2o$1614b2o64b2o$1614b2o64b2o3$1391b2o56b2o$730bo660b2o
$731bo$729b3o717b2o$73b2o56b2o1310b3obob2o167b2o56b2o$73b2o56b2o1309bo
b2ob3o6bo161b2o56b2o$1139bobo248b2o50b2obo2b2o6bo$1139b2o41b2o40b2o
163bo2bo2b2o45bo2bo4b2o3bo$300b3o837bo41b2o40b2o157b2o7bo2b3o38b3o5bob
o2b3o$300bo1081b2o3bo4b2ob3o34bo3bobo5bo4bobo$301bo970bo109bo2bobo2b4o
b3o2bobo3b2o24bo3bo269bo$1273bo107b2ob4o9bobo2bo3b3o23bo4b2o8b2o9b3o
243bobo$1271b3o108bo3bo8bo7bo3bo30bo7b3o5b3o4b2o242b2o$1383bob2o8bo7b
2o41b3o4b2o2b3ob2o$1377bo6b2o10bo45bo8b2o8b2o$1375b2o20bo6b4o34bo8bo2b
2o2b3o123bobo$1376b2o20bo3bo40bo7bo3bo4bo123b2o122bo$1403b4o45b3o3bo
126bo40b2o40b2o38b2o$1404bo221b2o40b2o37bobo$1470bo$1468bobo$1469b2o$
300b2o56b2o1031b2o56b2o$300b2o56b2o1031b2o56b2o2$517b2o56b2o597b2o56b
2o$517b2o56b2o597b2o56b2o4$1216bo$1217bo$1215b3o3$73b2o56b2o1054bo211b
2o40b2o175b2o20bobo33b2o$73b2o56b2o1052b2o212b2o40b2o175b2o20b2o34b2o$
360b3o823b2o453bo$360bo821b2o40b2o$361bo820b2o40b2o188bo244bo$1412bobo
245bo$1413b2o243b3o3$1422bobo$1422b2o224bo$1423bo224b2o$1647bobo$1626b
2o40b2o$1626b2o40b2o4$300b2o56b2o1031b2o56b2o$300b2o56b2o1031b2o56b2o
2$517b2o56b2o597b2o56b2o$517b2o56b2o597b2o56b2o9$73b2o56b2o287b3o976b
2o40b2o175b2o56b2o$73b2o56b2o287bo978b2o40b2o175b2o56b2o$421bo6$1588bo
$1588b2o$1587bobo8$300b2o56b2o1031b2o56b2o$300b2o56b2o1031b2o56b2o2$
517b2o56b2o597b2o56b2o$517b2o56b2o597b2o56b2o4$790bo$791bo$789b3o$480b
3o$480bo$73b2o56b2o348bo597bobo536b2o56b2o$73b2o56b2o946b2o537b2o56b2o
$1080bo4$1528bo$1528b2o$1527bobo10$300b2o56b2o1031b2o56b2o$300b2o56b2o
1031b2o56b2o2$517b2o56b2o597b2o56b2o$517b2o56b2o597b2o56b2o5$540b3o$
540bo$541bo2$73b2o56b2o1485b2o56b2o$73b2o56b2o1485b2o56b2o17$300b2o56b
2o1031b2o56b2o$300b2o56b2o1031b2o56b2o2$517b2o56b2o597b2o56b2o$517b2o
56b2o597b2o56b2o3$600b3o$600bo$601bo4$73b2o56b2o1485b2o56b2o$73b2o56b
2o1485b2o56b2o17$300b2o56b2o1031b2o56b2o$300b2o56b2o1031b2o56b2o2$517b
2o56b2o597b2o56b2o$517b2o56b2o597b2o56b2o$660b3o$660bo189bo$661bo189bo
$849b3o3$1019bobo$1019b2o$73b2o56b2o887bo597b2o56b2o$73b2o56b2o1485b2o
56b2o17$300b2o56b2o1031b2o56b2o$300b2o56b2o1031b2o56b2o2$517b2o56b2o
143b3o451b2o56b2o$517b2o56b2o143bo453b2o56b2o$721bo8$73b2o56b2o1485b2o
56b2o$73b2o56b2o1485b2o56b2o17$300b2o56b2o1031b2o56b2o$300b2o56b2o420b
3o608b2o56b2o$780bo$517b2o56b2o204bo392b2o56b2o$517b2o56b2o597b2o56b2o
9$73b2o56b2o1485b2o56b2o$73b2o56b2o1485b2o56b2o16$840b3o$300b2o56b2o
480bo550b2o56b2o$300b2o56b2o481bo549b2o56b2o2$517b2o56b2o597b2o56b2o$
517b2o56b2o333bo263b2o56b2o$911bo$909b3o3$959bobo$959b2o$960bo2$73b2o
56b2o1485b2o56b2o$73b2o56b2o1485b2o56b2o14$900b3o$900bo$901bo$300b2o
56b2o1031b2o56b2o$300b2o56b2o1031b2o56b2o2$517b2o56b2o597b2o56b2o$517b
2o56b2o597b2o56b2o9$73b2o56b2o1485b2o56b2o$73b2o56b2o1485b2o56b2o17$
300b2o56b2o1031b2o56b2o$300b2o56b2o1031b2o56b2o2$517b2o56b2o597b2o56b
2o$517b2o56b2o597b2o56b2o9$73b2o56b2o1485b2o56b2o$73b2o56b2o1485b2o56b
2o17$300b2o56b2o1031b2o56b2o$300b2o56b2o1031b2o56b2o!

Moving the two sets of three block trails 120 cells closer together cures the alignment problem very nicely, so that left and right forward rakes will run on the twelve block trails, with no rephasers at all.

Rephasers will still be needed to adjust the color of output gliders, and all kinds of other things no doubt. For example, we might want to move block trails out of the way of a crossing (forward or backward) glider stream.

EDIT: In the above pattern, the last of the six block trails in left-hand track is 599 cells away from the first block trail in the right-hand track.

With this configuration, three rephasers are needed to reach a relative alignment where one of kiho park's backward rakes can send gliders through the opposite track without damage:

x = 1642, y = 4629, rule = B3/S23
259b2o56b2o1031b2o56b2o$259b2o56b2o1031b2o56b2o2$476b2o56b2o597b2o56b
2o$476b2o56b2o597b2o56b2o9$32b2o56b2o1485b2o56b2o$32b2o56b2o1485b2o56b
2o17$259b2o56b2o1031b2o56b2o$259b2o56b2o1031b2o56b2o2$476b2o56b2o597b
2o56b2o$476b2o56b2o597b2o56b2o9$32b2o56b2o1485b2o56b2o$32b2o56b2o1485b
2o56b2o17$259b2o56b2o1031b2o56b2o$259b2o56b2o1031b2o56b2o2$476b2o56b2o
597b2o56b2o$476b2o56b2o597b2o56b2o9$32b2o56b2o1485b2o56b2o$32b2o56b2o
1485b2o56b2o17$259b2o56b2o1031b2o56b2o$259b2o56b2o1031b2o56b2o2$476b2o
56b2o597b2o56b2o$476b2o56b2o597b2o56b2o9$32b2o56b2o1485b2o56b2o$32b2o
56b2o1485b2o56b2o17$259b2o56b2o1031b2o56b2o$259b2o56b2o1031b2o56b2o2$
476b2o56b2o597b2o56b2o$476b2o56b2o597b2o56b2o9$32b2o56b2o1485b2o56b2o$
32b2o56b2o1485b2o56b2o17$259b2o56b2o1031b2o56b2o$259b2o56b2o1031b2o56b
2o2$476b2o56b2o597b2o56b2o$476b2o56b2o597b2o56b2o9$32b2o56b2o1485b2o
56b2o$32b2o56b2o1485b2o56b2o17$259b2o56b2o1031b2o56b2o$259b2o56b2o
1031b2o56b2o2$476b2o56b2o597b2o56b2o$476b2o56b2o597b2o56b2o9$32b2o56b
2o1485b2o56b2o$32b2o56b2o1485b2o56b2o17$259b2o56b2o1031b2o56b2o$259b2o
56b2o1031b2o56b2o2$476b2o56b2o597b2o56b2o$476b2o56b2o597b2o56b2o9$32b
2o56b2o1485b2o56b2o$32b2o56b2o1485b2o56b2o17$259b2o56b2o1031b2o56b2o$
259b2o56b2o1031b2o56b2o2$476b2o56b2o597b2o56b2o$476b2o56b2o597b2o56b2o
9$32b2o56b2o1485b2o56b2o$32b2o56b2o1485b2o56b2o17$259b2o56b2o1031b2o
56b2o$259b2o56b2o1031b2o56b2o2$476b2o56b2o597b2o56b2o$476b2o56b2o597b
2o56b2o9$32b2o56b2o1485b2o56b2o$32b2o56b2o1485b2o56b2o17$259b2o56b2o
1031b2o56b2o$259b2o56b2o1031b2o56b2o2$476b2o56b2o597b2o56b2o$476b2o56b
2o597b2o56b2o9$32b2o56b2o1485b2o56b2o$32b2o56b2o1485b2o56b2o17$259b2o
56b2o1031b2o56b2o$259b2o56b2o1031b2o56b2o2$476b2o56b2o597b2o56b2o$476b
2o56b2o597b2o56b2o9$32b2o56b2o1485b2o56b2o$32b2o56b2o1485b2o56b2o17$
259b2o56b2o1031b2o56b2o$259b2o56b2o1031b2o56b2o2$476b2o56b2o597b2o56b
2o$476b2o56b2o597b2o56b2o9$32b2o56b2o1485b2o56b2o$32b2o56b2o1485b2o56b
2o17$259b2o56b2o1031b2o56b2o$259b2o56b2o1031b2o56b2o2$476b2o56b2o597b
2o56b2o$476b2o56b2o597b2o56b2o9$32b2o56b2o1485b2o56b2o$32b2o56b2o1485b
2o56b2o17$259b2o56b2o1031b2o56b2o$259b2o56b2o1031b2o56b2o2$476b2o56b2o
597b2o56b2o$476b2o56b2o597b2o56b2o9$32b2o56b2o1485b2o56b2o$32b2o56b2o
1485b2o56b2o17$259b2o56b2o1031b2o56b2o$259b2o56b2o1031b2o56b2o2$476b2o
56b2o597b2o56b2o$476b2o56b2o597b2o56b2o9$32b2o56b2o1485b2o56b2o$32b2o
56b2o1485b2o56b2o17$259b2o56b2o1031b2o56b2o$259b2o56b2o1031b2o56b2o2$
476b2o56b2o597b2o56b2o$476b2o56b2o597b2o56b2o9$32b2o56b2o1485b2o56b2o$
32b2o56b2o1485b2o56b2o17$259b2o56b2o1031b2o56b2o$259b2o56b2o1031b2o56b
2o2$476b2o56b2o597b2o56b2o$476b2o56b2o597b2o56b2o9$32b2o56b2o1485b2o
56b2o$32b2o56b2o1485b2o56b2o17$259b2o56b2o1031b2o56b2o$259b2o56b2o
1031b2o56b2o2$476b2o56b2o597b2o56b2o$476b2o56b2o597b2o56b2o9$32b2o56b
2o1485b2o56b2o$32b2o56b2o1485b2o56b2o17$259b2o56b2o1031b2o56b2o$259b2o
56b2o1031b2o56b2o2$476b2o56b2o597b2o56b2o$476b2o56b2o597b2o56b2o9$32b
2o56b2o1485b2o56b2o$32b2o56b2o1485b2o56b2o17$259b2o56b2o1031b2o56b2o$
259b2o56b2o1031b2o56b2o2$476b2o56b2o597b2o56b2o$476b2o56b2o597b2o56b2o
9$32b2o56b2o1485b2o56b2o$32b2o56b2o1485b2o56b2o17$259b2o56b2o1031b2o
56b2o$259b2o56b2o1031b2o56b2o2$476b2o56b2o597b2o56b2o$476b2o56b2o597b
2o56b2o9$32b2o56b2o1485b2o56b2o$32b2o56b2o1485b2o56b2o17$259b2o56b2o
1031b2o56b2o$259b2o56b2o1031b2o56b2o2$476b2o56b2o597b2o56b2o$476b2o56b
2o597b2o56b2o9$32b2o56b2o1485b2o56b2o$32b2o56b2o1485b2o56b2o17$259b2o
56b2o1031b2o56b2o$259b2o56b2o1031b2o56b2o2$476b2o56b2o597b2o56b2o$476b
2o56b2o597b2o56b2o9$32b2o56b2o1485b2o56b2o$32b2o56b2o1485b2o56b2o17$
259b2o56b2o1031b2o56b2o$259b2o56b2o1031b2o56b2o2$476b2o56b2o597b2o56b
2o$476b2o56b2o597b2o56b2o9$32b2o56b2o1485b2o56b2o$32b2o56b2o1485b2o56b
2o17$259b2o56b2o1031b2o56b2o$259b2o56b2o1031b2o56b2o2$476b2o56b2o597b
2o56b2o$476b2o56b2o597b2o56b2o9$32b2o56b2o1485b2o56b2o$32b2o56b2o1485b
2o56b2o17$259b2o56b2o1031b2o56b2o$259b2o56b2o1031b2o56b2o2$476b2o56b2o
597b2o56b2o$476b2o56b2o597b2o56b2o9$32b2o56b2o1485b2o56b2o$32b2o56b2o
1485b2o56b2o17$259b2o56b2o1031b2o56b2o$259b2o56b2o1031b2o56b2o2$476b2o
56b2o597b2o56b2o$476b2o56b2o597b2o56b2o9$32b2o56b2o1485b2o56b2o$32b2o
56b2o1485b2o56b2o17$259b2o56b2o1031b2o56b2o$259b2o56b2o1031b2o56b2o2$
476b2o56b2o597b2o56b2o$476b2o56b2o597b2o56b2o9$32b2o56b2o1485b2o56b2o$
32b2o56b2o1485b2o56b2o17$259b2o56b2o1031b2o56b2o$259b2o56b2o1031b2o56b
2o2$476b2o56b2o597b2o56b2o$476b2o56b2o597b2o56b2o9$32b2o56b2o1485b2o
56b2o$32b2o56b2o1485b2o56b2o17$259b2o56b2o1031b2o56b2o$259b2o56b2o
1031b2o56b2o2$476b2o56b2o597b2o56b2o$476b2o56b2o597b2o56b2o9$32b2o56b
2o1485b2o56b2o$32b2o56b2o1485b2o56b2o17$259b2o56b2o1031b2o56b2o$259b2o
56b2o1031b2o56b2o2$476b2o56b2o597b2o56b2o$476b2o56b2o597b2o56b2o9$32b
2o56b2o1485b2o56b2o$32b2o56b2o1485b2o56b2o17$259b2o56b2o1031b2o56b2o$
259b2o56b2o1031b2o56b2o2$476b2o56b2o597b2o56b2o$476b2o56b2o597b2o56b2o
9$32b2o56b2o1485b2o56b2o$32b2o56b2o1485b2o56b2o17$259b2o56b2o1031b2o
56b2o$259b2o56b2o1031b2o56b2o2$476b2o56b2o597b2o56b2o$476b2o56b2o597b
2o56b2o9$32b2o56b2o1485b2o56b2o$32b2o56b2o1485b2o56b2o17$259b2o56b2o
1031b2o56b2o$259b2o56b2o1031b2o56b2o2$476b2o56b2o597b2o56b2o$476b2o56b
2o597b2o56b2o9$32b2o56b2o1485b2o56b2o$32b2o56b2o1485b2o56b2o17$259b2o
56b2o1031b2o56b2o$259b2o56b2o1031b2o56b2o2$476b2o56b2o597b2o56b2o$476b
2o56b2o597b2o56b2o9$32b2o56b2o1485b2o56b2o$32b2o56b2o1485b2o56b2o17$
259b2o56b2o1031b2o56b2o$259b2o56b2o1031b2o56b2o2$476b2o56b2o597b2o56b
2o$476b2o56b2o597b2o56b2o9$32b2o56b2o1485b2o56b2o$32b2o56b2o1485b2o56b
2o17$259b2o56b2o1031b2o56b2o$259b2o56b2o1031b2o56b2o2$476b2o56b2o597b
2o56b2o$476b2o56b2o597b2o56b2o9$32b2o56b2o1485b2o56b2o$32b2o56b2o1485b
2o56b2o17$259b2o56b2o1031b2o56b2o$259b2o56b2o1031b2o56b2o2$476b2o56b2o
597b2o56b2o$476b2o56b2o597b2o56b2o9$32b2o56b2o1485b2o56b2o$32b2o56b2o
1485b2o56b2o17$259b2o56b2o1031b2o56b2o$259b2o56b2o1031b2o56b2o2$476b2o
56b2o597b2o56b2o$476b2o56b2o597b2o56b2o9$32b2o56b2o1485b2o56b2o$32b2o
56b2o1485b2o56b2o17$259b2o56b2o1031b2o56b2o$259b2o56b2o1031b2o56b2o2$
476b2o56b2o597b2o56b2o$476b2o56b2o597b2o56b2o9$32b2o56b2o1485b2o56b2o$
32b2o56b2o1485b2o56b2o17$259b2o56b2o1031b2o56b2o$259b2o56b2o1031b2o56b
2o2$476b2o56b2o597b2o56b2o$476b2o56b2o597b2o56b2o9$32b2o56b2o1485b2o
56b2o$32b2o56b2o1485b2o56b2o17$259b2o56b2o1031b2o56b2o$259b2o56b2o
1031b2o56b2o2$476b2o56b2o597b2o56b2o$476b2o56b2o597b2o56b2o9$32b2o56b
2o1485b2o56b2o$32b2o56b2o1485b2o56b2o17$259b2o56b2o1031b2o56b2o$259b2o
56b2o1031b2o56b2o2$476b2o56b2o597b2o56b2o$476b2o56b2o597b2o56b2o9$32b
2o56b2o1485b2o56b2o$32b2o56b2o1485b2o56b2o17$259b2o56b2o1031b2o56b2o$
259b2o56b2o1031b2o56b2o2$476b2o56b2o597b2o56b2o$476b2o56b2o597b2o56b2o
9$32b2o56b2o1485b2o56b2o$32b2o56b2o1485b2o56b2o17$259b2o56b2o1031b2o
56b2o$259b2o56b2o1031b2o56b2o2$476b2o56b2o597b2o56b2o$476b2o56b2o597b
2o56b2o9$32b2o56b2o1485b2o56b2o$32b2o56b2o1485b2o56b2o17$259b2o56b2o
1031b2o56b2o$259b2o56b2o1031b2o56b2o2$476b2o56b2o597b2o56b2o$476b2o56b
2o597b2o56b2o9$32b2o56b2o1485b2o56b2o$32b2o56b2o1485b2o56b2o17$259b2o
56b2o1031b2o56b2o$259b2o56b2o1031b2o56b2o2$476b2o56b2o597b2o56b2o$476b
2o56b2o597b2o56b2o9$32b2o56b2o1485b2o56b2o$32b2o56b2o1485b2o56b2o17$
259b2o56b2o1031b2o56b2o$259b2o56b2o1031b2o56b2o2$476b2o56b2o597b2o56b
2o$476b2o56b2o597b2o56b2o9$32b2o56b2o1485b2o56b2o$32b2o56b2o1485b2o56b
2o17$259b2o56b2o1031b2o56b2o$259b2o56b2o1031b2o56b2o2$476b2o56b2o597b
2o56b2o$476b2o56b2o597b2o56b2o9$32b2o56b2o1485b2o56b2o$32b2o56b2o1485b
2o56b2o17$259b2o56b2o1031b2o56b2o$259b2o56b2o1031b2o56b2o2$476b2o56b2o
597b2o56b2o$476b2o56b2o597b2o56b2o9$32b2o56b2o1485b2o56b2o$32b2o56b2o
1485b2o56b2o17$259b2o56b2o1031b2o56b2o$259b2o56b2o1031b2o56b2o2$476b2o
56b2o597b2o56b2o$476b2o56b2o597b2o56b2o9$32b2o56b2o1485b2o56b2o$32b2o
56b2o1485b2o56b2o17$259b2o56b2o1031b2o56b2o$259b2o56b2o1031b2o56b2o2$
476b2o56b2o597b2o56b2o$476b2o56b2o597b2o56b2o9$32b2o56b2o1485b2o56b2o$
32b2o56b2o1485b2o56b2o17$259b2o56b2o1031b2o56b2o$259b2o56b2o1031b2o56b
2o2$476b2o56b2o597b2o56b2o$476b2o56b2o597b2o56b2o9$32b2o56b2o1485b2o
56b2o$32b2o56b2o1485b2o56b2o17$259b2o56b2o1031b2o56b2o$259b2o56b2o
1031b2o56b2o2$476b2o56b2o597b2o56b2o$476b2o56b2o597b2o56b2o9$32b2o56b
2o1485b2o56b2o$32b2o56b2o1485b2o56b2o17$259b2o56b2o1031b2o56b2o$259b2o
56b2o1031b2o56b2o2$476b2o56b2o597b2o56b2o$476b2o56b2o597b2o56b2o9$32b
2o56b2o1485b2o56b2o$32b2o56b2o1485b2o56b2o17$259b2o56b2o1031b2o56b2o$
259b2o56b2o1031b2o56b2o2$476b2o56b2o597b2o56b2o$476b2o56b2o597b2o56b2o
9$32b2o56b2o1485b2o56b2o$32b2o56b2o1485b2o56b2o17$259b2o56b2o1031b2o
56b2o$259b2o56b2o1031b2o56b2o2$476b2o56b2o597b2o56b2o$476b2o56b2o597b
2o56b2o9$32b2o56b2o1485b2o56b2o$32b2o56b2o1485b2o56b2o17$259b2o56b2o
1031b2o56b2o$259b2o56b2o1031b2o56b2o2$476b2o56b2o597b2o56b2o$476b2o56b
2o597b2o56b2o9$32b2o56b2o1485b2o56b2o$32b2o56b2o1485b2o56b2o17$259b2o
56b2o1031b2o56b2o$259b2o56b2o1031b2o56b2o2$476b2o56b2o597b2o56b2o$476b
2o56b2o597b2o56b2o8$480bo$32b2o56b2o387bobo1095b2o56b2o$32b2o56b2o386b
o1098b2o56b2o$478bo2b3o$478b2o3b2o$479b2ob2o$478b2ob2o$478bo2bo$478bo
2bo$478b2o51bo$530b3o$529b2o2bo$533bo$476b2o54bo$476b2o50bo$528bobo$
528b2o3$259b2o56b2o167bobo861b2o56b2o$86b2o171b2o56b2o168b2o861b2o56b
2o$86bob2o397bo$88b2o1043b2o56b2o$86b2o1045b2o56b2o$39b3o42b2o$40bo$
38b3o43bobo397b2o40b2o$85bo398b2o40b2o5$1577b2o56b2o$1577b2o56b2o2$30b
2o$30b2o8b2o40b2o$40b2o40b2o5$29bo$28bobo$27bo3bo444b2o56b2o$27bo3bo
444b2o56b2o$31bo$28b3o2$265bo$265bo1084b2o56b2o$265bo48b2o1034b2o56b2o
$314b3o$257b2o7bo2bo41b2o2b2o2b2o812b2o56b2o$32b2o56b2o165b2o3bobo2b2o
41b3o6b2o812b2o56b2o$32b2o56b2o170b2o3bo41bo3bo222b2o$263bo45b3o223bob
o$308bo4bo170b2o40b2o9bo$308b2ob2o171b2o40b2o$308bo3bo$309b3o3$1577b2o
56b2o$255b2o64b2o1254b2o56b2o$255b2o64b2o2$40b2o40b2o$40b2o40b2o2$36bo
$35b2o$35bobo221b2o56b2o$259b2o56b2o2$476b2o56b2o$476b2o56b2o5$1350b2o
56b2o$1350b2o56b2o2$476b2o655b2o56b2o$32b2o56b2o175b2o40b2o101bo62bobo
655b2o56b2o$32b2o56b2o175b2o40b2o101bobo62bo$412b2o2$357bo$148bobo207b
2o$149b2o206b2o$149bo2$214bo1362b2o56b2o$214bobo1360b2o56b2o$214b2o3$
96bo$95b2o$95bobo2$259b2o56b2o$259b2o56b2o2$476b2o56b2o$476b2o56b2o5$
1350b2o56b2o$416b2o932b2o56b2o$269b2o144bobo$272bo144bo62bo652b2o56b2o
$32b2o56b2o175bo3bo207bobo651b2o56b2o$32b2o56b2o175bobo208bo$478bo2b3o
$478b2o3b2o$479b2ob2o$478b2ob2o$478bo2bo$478bo2bo$478b2o51bo$530b3o
1044b2o56b2o$529b2o2bo1043b2o56b2o$533bo$156bo319b2o54bo$155b2o319b2o
50bo$155bobo370bobo$528b2o3$259b2o56b2o167bobo$86b2o171b2o56b2o168b2o$
86bob2o397bo$88b2o$86b2o$39b3o42b2o$40bo$38b3o43bobo397b2o40b2o$85bo
398b2o40b2o$1350b2o56b2o$1350b2o56b2o2$1133b2o56b2o$1133b2o56b2o3$30b
2o$30b2o8b2o40b2o$40b2o40b2o4$1577b2o56b2o$29bo1547b2o56b2o$28bobo$27b
o3bo444b2o56b2o$27bo3bo444b2o56b2o$31bo$28b3o2$265bo$265bo$265bo48b2o$
314b3o$257b2o7bo2bo41b2o2b2o2b2o$32b2o56b2o165b2o3bobo2b2o41b3o6b2o$
32b2o56b2o170b2o3bo41bo3bo222b2o$263bo45b3o223bobo$308bo4bo170b2o40b2o
9bo$308b2ob2o171b2o40b2o$308bo3bo1037b2o56b2o$309b3o1038b2o56b2o2$
1133b2o56b2o$1133b2o56b2o$255b2o64b2o$255b2o64b2o2$40b2o40b2o$40b2o40b
2o2$36bo$35b2o$35bobo221b2o56b2o1258b2o56b2o$259b2o56b2o1258b2o56b2o2$
476b2o56b2o$476b2o56b2o8$476b2o$32b2o56b2o175b2o40b2o101bo62bobo$32b2o
56b2o175b2o40b2o101bobo62bo$412b2o2$357bo$148bobo207b2o990b2o56b2o$
149b2o206b2o991b2o56b2o$149bo$1133b2o56b2o$214bo918b2o56b2o$214bobo$
214b2o3$96bo$95b2o$95bobo2$259b2o56b2o1258b2o56b2o$259b2o56b2o1258b2o
56b2o2$476b2o56b2o$476b2o56b2o6$416b2o$269b2o144bobo$272bo144bo62bo$
32b2o56b2o175bo3bo207bobo$32b2o56b2o175bobo208bo$478bo2b3o$478b2o3b2o$
479b2ob2o$478b2ob2o867b2o56b2o$478bo2bo868b2o56b2o$478bo2bo$478b2o51bo
601b2o56b2o$530b3o600b2o56b2o$529b2o2bo$533bo$156bo319b2o54bo$155b2o
319b2o50bo$155bobo370bobo$528b2o3$259b2o56b2o167bobo1088b2o56b2o$86b2o
171b2o56b2o168b2o1088b2o56b2o$86bob2o397bo$88b2o$86b2o$39b3o42b2o$40bo
$38b3o43bobo397b2o40b2o$85bo398b2o40b2o8$30b2o$30b2o8b2o40b2o$40b2o40b
2o1266b2o56b2o$1350b2o56b2o2$1133b2o56b2o$1133b2o56b2o$29bo$28bobo$27b
o3bo444b2o56b2o$27bo3bo444b2o56b2o$31bo$28b3o2$265bo$265bo1311b2o56b2o
$265bo48b2o1261b2o56b2o$314b3o$257b2o7bo2bo41b2o2b2o2b2o$32b2o56b2o
165b2o3bobo2b2o41b3o6b2o$32b2o56b2o170b2o3bo41bo3bo222b2o$263bo45b3o
223bobo$308bo4bo170b2o40b2o9bo$308b2ob2o171b2o40b2o$308bo3bo$309b3o4$
255b2o64b2o$255b2o64b2o2$40b2o40b2o$40b2o40b2o1266b2o56b2o$1350b2o56b
2o$36bo$35b2o1096b2o56b2o$35bobo221b2o56b2o814b2o56b2o$259b2o56b2o2$
476b2o56b2o$476b2o56b2o5$1577b2o56b2o$1577b2o56b2o2$476b2o$32b2o56b2o
175b2o40b2o101bo62bobo$32b2o56b2o175b2o40b2o101bobo62bo$412b2o2$357bo$
148bobo207b2o$149b2o206b2o$149bo2$214bo$214bobo$214b2o3$96bo1253b2o56b
2o$95b2o1253b2o56b2o$95bobo$1133b2o56b2o$259b2o56b2o814b2o56b2o$259b2o
56b2o2$476b2o56b2o$476b2o56b2o5$1577b2o56b2o$416b2o1159b2o56b2o$269b2o
144bobo$272bo144bo$32b2o56b2o175bo3bo$32b2o56b2o175bobo11$156bo$155b2o
$155bobo1192b2o56b2o$1350b2o56b2o2$1133b2o56b2o$259b2o56b2o814b2o56b2o
$259b2o56b2o2$476b2o56b2o$476b2o56b2o5$1577b2o56b2o$1577b2o56b2o3$32b
2o56b2o$32b2o56b2o13$1350b2o56b2o$1350b2o56b2o2$1133b2o56b2o$259b2o56b
2o814b2o56b2o$259b2o56b2o2$476b2o56b2o$476b2o56b2o5$1577b2o56b2o$1577b
2o56b2o3$32b2o56b2o$32b2o56b2o13$1350b2o56b2o$1350b2o56b2o2$1133b2o56b
2o$259b2o56b2o814b2o56b2o$259b2o56b2o3$477bob3o$475bo$474bo5b2o47bo$
474bo3b2o47b4o$475bo6b3o46bo$482bobo43bo3bo4bo1039b2o56b2o$482bo2bo43b
obo5bo1039b2o56b2o$483bobo44bo6bo$32bo450b3o$31b2o$31bobo$29bobobo$27b
ob2ob2o59bo$26bo58b2o6bo378b2o64b2o$27b2o56bo386b2o64b2o$41bo43b3o4bob
o$41bo39b3o8bobo$41bo51bo4$476b2o56b2o$476b2o56b2o$28b2o64b2o1254b2o
56b2o$28b2o64b2o1254b2o56b2o2$1133b2o56b2o$259b2o56b2o814b2o56b2o$317b
2o2$259b2o$32b2o56b2o167b2obob3o$32b2o56b2o161bo6b3ob2obo$253bo6b2o2bo
b2o50b2o248bobo$254bo3b2o4bo2bo45b2o2bo2bo163b2o40b2o41b2o$258b3o2bobo
5b3o38b3o2bo7b2o157b2o40b2o41bo$258bobo4bo5bobo3bo34b3ob2o4bo3b2o1249b
2o56b2o$3bo269bo3bo24b2o3bobo2b3ob4o2bobo2bo109bo1139b2o56b2o$3bobo
243b3o9b2o8b2o4bo23b3o3bo2bobo9b4ob2o107bo$3b2o242b2o4b3o5b3o7bo30bo3b
o7bo8bo3bo108b3o$247b2ob3o2b2o4b3o41b2o7bo8b2obo$247b2o8b2o8bo45bo10b
2o6bo$123bobo123b3o2b2o2bo8bo34b4o6bo20b2o$bo122b2o123bo4bo3bo7bo40bo
3bo20b2o$2o38b2o40b2o40bo126bo3b3o45b4o$obo37b2o40b2o221bo$239bo$239bo
bo$239b2o$259b2o56b2o$259b2o56b2o2$476b2o56b2o$476b2o56b2o$1350b2o56b
2o$1350b2o56b2o2$493bo639b2o56b2o$492bo640b2o56b2o$492b3o3$32b2o33bobo
20b2o175b2o40b2o211bo$32b2o34b2o20b2o175b2o40b2o212b2o$68bo453b2o$484b
2o40b2o$50bo244bo188b2o40b2o$49bo245bobo1279b2o56b2o$49b3o243b2o1280b
2o56b2o3$285bobo$61bo224b2o$60b2o224bo$60bobo$40b2o40b2o$40b2o40b2o4$
259b2o56b2o$259b2o56b2o2$476b2o56b2o$476b2o56b2o$1350b2o56b2o$1350b2o
56b2o2$1133b2o56b2o$1133b2o56b2o4$32b2o56b2o175b2o40b2o$32b2o56b2o175b
2o40b2o4$1577b2o56b2o$1577b2o56b2o2$121bo$120b2o$120bobo8$259b2o56b2o$
259b2o56b2o2$476b2o56b2o$476b2o56b2o$1350b2o56b2o$1350b2o56b2o2$1133b
2o56b2o$1133b2o56b2o4$32b2o56b2o536bobo$32b2o56b2o537b2o$629bo3$1577b
2o56b2o$181bo1395b2o56b2o$180b2o$180bobo10$259b2o56b2o$259b2o56b2o2$
476b2o56b2o$476b2o56b2o$1350b2o56b2o$1350b2o56b2o2$1133b2o56b2o$1133b
2o56b2o4$32b2o56b2o$32b2o56b2o4$1577b2o56b2o$1577b2o56b2o12$259b2o56b
2o$259b2o56b2o2$476b2o56b2o$476b2o56b2o$1350b2o56b2o$1350b2o56b2o2$
1133b2o56b2o$1133b2o56b2o4$32b2o56b2o$32b2o56b2o4$1577b2o56b2o$1577b2o
56b2o17$1350b2o56b2o$1350b2o56b2o2$1133b2o56b2o$1133b2o56b2o9$1577b2o
56b2o$1577b2o56b2o17$1350b2o56b2o$1350b2o56b2o2$1133b2o56b2o$1133b2o
56b2o9$1577b2o56b2o$1577b2o56b2o17$1350b2o56b2o$1350b2o56b2o2$1133b2o
56b2o$1133b2o56b2o9$1577b2o56b2o$1577b2o56b2o17$1350b2o56b2o$1350b2o
56b2o2$1133b2o56b2o$1133b2o56b2o9$1577b2o56b2o$1577b2o56b2o17$1350b2o
56b2o$1350b2o56b2o2$1133b2o56b2o$1133b2o56b2o9$1577b2o56b2o$1577b2o56b
2o17$1350b2o56b2o$1350b2o56b2o2$1133b2o56b2o$1133b2o56b2o9$1577b2o56b
2o$1577b2o56b2o17$1350b2o56b2o$1350b2o56b2o2$1133b2o56b2o$1133b2o56b2o
9$1577b2o56b2o$1577b2o56b2o17$1350b2o56b2o$1350b2o56b2o2$1133b2o56b2o$
1133b2o56b2o9$1577b2o56b2o$1577b2o56b2o17$1350b2o56b2o$1350b2o56b2o2$
1133b2o56b2o$1133b2o56b2o9$1577b2o56b2o$1577b2o56b2o17$1350b2o56b2o$
1350b2o56b2o2$1133b2o56b2o$1133b2o56b2o9$1577b2o56b2o$1577b2o56b2o17$
1350b2o56b2o$1350b2o56b2o2$1133b2o56b2o$1133b2o56b2o9$1577b2o56b2o$
1577b2o56b2o17$1350b2o56b2o$1350b2o56b2o2$1133b2o56b2o$1133b2o56b2o9$
1577b2o56b2o$1577b2o56b2o17$1350b2o56b2o$1350b2o56b2o2$1133b2o56b2o$
1133b2o56b2o9$1577b2o56b2o$1577b2o56b2o17$1350b2o56b2o$1350b2o56b2o2$
1133b2o56b2o$1133b2o56b2o9$1577b2o56b2o$1577b2o56b2o17$1350b2o56b2o$
1350b2o56b2o2$1133b2o56b2o$1133b2o56b2o9$1577b2o56b2o$1577b2o56b2o17$
1350b2o56b2o$1350b2o56b2o2$1133b2o56b2o$1133b2o56b2o9$1577b2o56b2o$
1577b2o56b2o17$1350b2o56b2o$1350b2o56b2o2$1133b2o56b2o$1133b2o56b2o9$
1577b2o56b2o$1577b2o56b2o17$1350b2o56b2o$1350b2o56b2o2$1133b2o56b2o$
1133b2o56b2o9$1577b2o56b2o$1577b2o56b2o17$1350b2o56b2o$1350b2o56b2o2$
1133b2o56b2o$1133b2o56b2o9$1577b2o56b2o$1577b2o56b2o17$1350b2o56b2o$
1350b2o56b2o2$1133b2o56b2o$1133b2o56b2o9$1577b2o56b2o$1577b2o56b2o17$
1350b2o56b2o$1350b2o56b2o2$1133b2o56b2o$1133b2o56b2o9$1577b2o56b2o$
1577b2o56b2o17$1350b2o56b2o$1350b2o56b2o2$1133b2o56b2o$1133b2o56b2o9$
1577b2o56b2o$1577b2o56b2o17$1350b2o56b2o$1350b2o56b2o2$1133b2o56b2o$
1133b2o56b2o9$1577b2o56b2o$1577b2o56b2o17$1350b2o56b2o$1350b2o56b2o2$
1133b2o56b2o$1133b2o56b2o9$1577b2o56b2o$1577b2o56b2o17$1350b2o56b2o$
1350b2o56b2o2$1133b2o56b2o$1133b2o56b2o9$1577b2o56b2o$1577b2o56b2o17$
1350b2o56b2o$1350b2o56b2o2$1133b2o56b2o$1133b2o56b2o9$1577b2o56b2o$
1577b2o56b2o17$1350b2o56b2o$1350b2o56b2o2$1133b2o56b2o$1133b2o56b2o9$
1577b2o56b2o$1577b2o56b2o17$1350b2o56b2o$1350b2o56b2o2$1133b2o56b2o$
1133b2o56b2o9$1577b2o56b2o$1577b2o56b2o17$1350b2o56b2o$1350b2o56b2o2$
1133b2o56b2o$1133b2o56b2o9$1577b2o56b2o$1577b2o56b2o17$1350b2o56b2o$
1350b2o56b2o2$1133b2o56b2o$1133b2o56b2o9$1577b2o56b2o$1577b2o56b2o17$
1350b2o56b2o$1350b2o56b2o2$1133b2o56b2o$1133b2o56b2o9$1577b2o56b2o$
1577b2o56b2o17$1350b2o56b2o$1350b2o56b2o2$1133b2o56b2o$1133b2o56b2o9$
1577b2o56b2o$1577b2o56b2o17$1350b2o56b2o$1350b2o56b2o2$1133b2o56b2o$
1133b2o56b2o9$1577b2o56b2o$1577b2o56b2o17$1350b2o56b2o$1350b2o56b2o2$
1133b2o56b2o$1133b2o56b2o9$1577b2o56b2o$1577b2o56b2o17$1350b2o56b2o$
1350b2o56b2o2$1133b2o56b2o$1133b2o56b2o9$1577b2o56b2o$1577b2o56b2o17$
1350b2o56b2o$1350b2o56b2o2$1133b2o56b2o$1133b2o56b2o9$1577b2o56b2o$
1577b2o56b2o17$1350b2o56b2o$1350b2o56b2o2$1133b2o56b2o$1133b2o56b2o9$
1577b2o56b2o$1577b2o56b2o17$1350b2o56b2o$1350b2o56b2o2$1133b2o56b2o$
1133b2o56b2o9$1577b2o56b2o$1577b2o56b2o17$1350b2o56b2o$1350b2o56b2o2$
1133b2o56b2o$1133b2o56b2o9$1577b2o56b2o$1577b2o56b2o17$1350b2o56b2o$
1350b2o56b2o2$1133b2o56b2o$1133b2o56b2o9$1577b2o56b2o$1577b2o56b2o17$
1350b2o56b2o$1350b2o56b2o2$1133b2o56b2o$1133b2o56b2o9$1577b2o56b2o$
1577b2o56b2o17$1350b2o56b2o$1350b2o56b2o2$1133b2o56b2o$1133b2o56b2o9$
1577b2o56b2o$1577b2o56b2o17$1350b2o56b2o$1350b2o56b2o2$1133b2o56b2o$
1133b2o56b2o9$1577b2o56b2o$1577b2o56b2o17$1350b2o56b2o$1350b2o56b2o2$
1133b2o56b2o$1133b2o56b2o9$1577b2o56b2o$1577b2o56b2o17$1350b2o56b2o$
1350b2o56b2o2$1133b2o56b2o$1133b2o56b2o9$1577b2o56b2o$1577b2o56b2o17$
1350b2o56b2o$1350b2o56b2o2$1133b2o56b2o$1133b2o56b2o9$1577b2o56b2o$
1577b2o56b2o17$1350b2o56b2o$1350b2o56b2o2$1133b2o56b2o$1133b2o56b2o9$
1577b2o56b2o$1577b2o56b2o17$1350b2o56b2o$1350b2o56b2o2$1133b2o56b2o$
1133b2o56b2o9$1577b2o56b2o$1577b2o56b2o17$1350b2o56b2o$1350b2o56b2o2$
1133b2o56b2o$1133b2o56b2o9$1577b2o56b2o$1577b2o56b2o17$1350b2o56b2o$
1350b2o56b2o2$1133b2o56b2o$1133b2o56b2o9$1577b2o56b2o$1577b2o56b2o17$
1350b2o56b2o$1350b2o56b2o2$1133b2o56b2o$1133b2o56b2o9$1577b2o56b2o$
1577b2o56b2o17$1350b2o56b2o$1350b2o56b2o2$1133b2o56b2o$1133b2o56b2o9$
1577b2o56b2o$1577b2o56b2o17$1350b2o56b2o$1350b2o56b2o2$1133b2o56b2o$
1133b2o56b2o8$1188bo$1187bobo387b2o56b2o$1190bo386b2o56b2o$1185b3o2bo$
1184b2o3b2o$1185b2ob2o$1186b2ob2o$1187bo2bo$1187bo2bo$1137bo51b2o$
1136b3o$1135bo2b2o$1135bo$1136bo54b2o$1140bo50b2o$1138bobo$1139b2o3$
1180bobo167b2o56b2o$1180b2o168b2o56b2o171b2o$1181bo397b2obo$1579b2o$
1581b2o$1583b2o42b3o$1628bo$1141b2o40b2o397bobo43b3o$1141b2o40b2o398bo
8$1637b2o$1585b2o40b2o8b2o$1585b2o40b2o5$1639bo$1638bobo$1133b2o56b2o
444bo3bo$1133b2o56b2o444bo3bo$1637bo$1638b3o2$1403bo$1403bo$1353b2o48b
o$1352b3o$1348b2o2b2o2b2o41bo2bo7b2o$1348b2o6b3o41b2o2bobo3b2o165b2o
56b2o$1131b2o222bo3bo41bo3b2o170b2o56b2o$1131bobo223b3o45bo$1131bo9b2o
40b2o170bo4bo$1141b2o40b2o171b2ob2o$1356bo3bo$1357b3o4$1346b2o64b2o$
1346b2o64b2o2$1585b2o40b2o$1585b2o40b2o2$1632bo$1632b2o$1350b2o56b2o
221bobo$1350b2o56b2o2$1133b2o56b2o$1133b2o56b2o8$1191b2o$1191bobo62bo
101b2o40b2o175b2o56b2o$1191bo62bobo101b2o40b2o175b2o56b2o$1255b2o2$
1311bo$1309b2o207bobo$1310b2o206b2o$1519bo2$1454bo$1452bobo$1453b2o3$
1572bo$1572b2o$1571bobo2$1350b2o56b2o$1350b2o56b2o2$1133b2o56b2o$1133b
2o56b2o6$1251b2o$1251bobo144b2o$1188bo62bo144bo$1187bobo207bo3bo175b2o
56b2o$1190bo208bobo175b2o56b2o$1185b3o2bo$1184b2o3b2o$1185b2ob2o$1186b
2ob2o$1187bo2bo$1187bo2bo$1137bo51b2o$1136b3o$1135bo2b2o$1135bo$1136bo
54b2o319bo$1140bo50b2o319b2o$1138bobo370bobo$1139b2o3$1180bobo167b2o
56b2o$1180b2o168b2o56b2o171b2o$1181bo397b2obo$1579b2o$1581b2o$1583b2o
42b3o$1628bo$1141b2o40b2o397bobo43b3o$1141b2o40b2o398bo8$1637b2o$1585b
2o40b2o8b2o$1585b2o40b2o5$1639bo$1638bobo$1133b2o56b2o444bo3bo$1133b2o
56b2o444bo3bo$1637bo$1638b3o2$1403bo$1403bo$1353b2o48bo$1352b3o$1348b
2o2b2o2b2o41bo2bo7b2o$1348b2o6b3o41b2o2bobo3b2o165b2o56b2o$1131b2o222b
o3bo41bo3b2o170b2o56b2o$1131bobo223b3o45bo$1131bo9b2o40b2o170bo4bo$
1141b2o40b2o171b2ob2o$1356bo3bo$1357b3o4$1346b2o64b2o$1346b2o64b2o2$
1585b2o40b2o$1585b2o40b2o2$1632bo$1632b2o$1350b2o56b2o221bobo$1350b2o
56b2o2$1133b2o56b2o$1133b2o56b2o8$1191b2o$1191bobo62bo101b2o40b2o175b
2o56b2o$1191bo62bobo101b2o40b2o175b2o56b2o$1255b2o2$1311bo$1309b2o207b
obo$1310b2o206b2o$1519bo2$1454bo$1452bobo$1453b2o3$1572bo$1572b2o$
1571bobo2$1350b2o56b2o$1350b2o56b2o2$1133b2o56b2o$1133b2o56b2o6$1251b
2o$1251bobo144b2o$1188bo62bo144bo$1187bobo207bo3bo175b2o56b2o$1190bo
208bobo175b2o56b2o$1185b3o2bo$1184b2o3b2o$1185b2ob2o$1186b2ob2o$1187bo
2bo$1187bo2bo$1137bo51b2o$1136b3o$1135bo2b2o$1135bo$1136bo54b2o319bo$
1140bo50b2o319b2o$1138bobo370bobo$1139b2o3$1180bobo167b2o56b2o$1180b2o
168b2o56b2o171b2o$1181bo397b2obo$1579b2o$1581b2o$1583b2o42b3o$1628bo$
1141b2o40b2o397bobo43b3o$1141b2o40b2o398bo8$1637b2o$1585b2o40b2o8b2o$
1585b2o40b2o5$1639bo$1638bobo$1133b2o56b2o444bo3bo$1133b2o56b2o444bo3b
o$1637bo$1638b3o2$1403bo$1403bo$1353b2o48bo$1352b3o$1348b2o2b2o2b2o41b
o2bo7b2o$1348b2o6b3o41b2o2bobo3b2o165b2o56b2o$1131b2o222bo3bo41bo3b2o
170b2o56b2o$1131bobo223b3o45bo$1131bo9b2o40b2o170bo4bo$1141b2o40b2o
171b2ob2o$1356bo3bo$1357b3o4$1346b2o64b2o$1346b2o64b2o2$1585b2o40b2o$
1585b2o40b2o2$1632bo$1632b2o$1350b2o56b2o221bobo$1350b2o56b2o2$1133b2o
56b2o$1133b2o56b2o8$1191b2o$1191bobo62bo101b2o40b2o175b2o56b2o$1191bo
62bobo101b2o40b2o175b2o56b2o$1255b2o2$1311bo$1309b2o207bobo$1310b2o
206b2o$1519bo2$1454bo$1452bobo$1453b2o3$1572bo$1572b2o$1571bobo2$1350b
2o56b2o$1350b2o56b2o2$1133b2o56b2o$1133b2o56b2o6$1251b2o$1251bobo144b
2o$1188bo62bo144bo$1187bobo207bo3bo175b2o56b2o$1190bo208bobo175b2o56b
2o$1185b3o2bo$1184b2o3b2o$1185b2ob2o$1186b2ob2o$1187bo2bo$1187bo2bo$
1137bo51b2o$1136b3o$1135bo2b2o$1135bo$1136bo54b2o319bo$1140bo50b2o319b
2o$1138bobo370bobo$1139b2o3$1180bobo167b2o56b2o$1180b2o168b2o56b2o171b
2o$1181bo397b2obo$1579b2o$1581b2o$1583b2o42b3o$1628bo$1141b2o40b2o397b
obo43b3o$1141b2o40b2o398bo8$1637b2o$1585b2o40b2o8b2o$1585b2o40b2o5$
1639bo$1638bobo$1133b2o56b2o444bo3bo$1133b2o56b2o444bo3bo$1637bo$1638b
3o2$1403bo$1403bo$1353b2o48bo$1352b3o$1348b2o2b2o2b2o41bo2bo7b2o$1348b
2o6b3o41b2o2bobo3b2o165b2o56b2o$1131b2o222bo3bo41bo3b2o170b2o56b2o$
1131bobo223b3o45bo$1131bo9b2o40b2o170bo4bo$1141b2o40b2o171b2ob2o$1356b
o3bo$1357b3o4$1346b2o64b2o$1346b2o64b2o2$1585b2o40b2o$1585b2o40b2o2$
1632bo$1632b2o$1350b2o56b2o221bobo$1350b2o56b2o2$1133b2o56b2o$1133b2o
56b2o8$1191b2o$1191bobo62bo101b2o40b2o175b2o56b2o$1191bo62bobo101b2o
40b2o175b2o56b2o$1255b2o2$1311bo$1309b2o207bobo$1310b2o206b2o$1519bo2$
1454bo$1452bobo$1453b2o3$1572bo$1572b2o$1571bobo2$1350b2o56b2o$1350b2o
56b2o2$1133b2o56b2o$1133b2o56b2o6$1251b2o$1251bobo144b2o$1251bo144bo$
1397bo3bo175b2o56b2o$1399bobo175b2o56b2o11$1512bo$1512b2o$1511bobo4$
1350b2o56b2o$1350b2o56b2o2$1133b2o56b2o$1133b2o56b2o9$1577b2o56b2o$
1577b2o56b2o17$1350b2o56b2o$1350b2o56b2o2$1133b2o56b2o$1133b2o56b2o9$
1577b2o56b2o$1577b2o56b2o!

EDIT 2: Oops, I didn't try changing the alignment in the other direction, +9 instead of -9. Turns out you only need one rephaser in that direction, matching the backward rake:

x = 1664, y = 2061, rule = B3/S23
259b2o56b2o1031b2o56b2o$259b2o56b2o1031b2o56b2o2$476b2o56b2o597b2o56b
2o$476b2o56b2o597b2o56b2o9$32b2o56b2o1485b2o56b2o$32b2o56b2o1485b2o56b
2o17$259b2o56b2o1031b2o56b2o$259b2o56b2o1031b2o56b2o2$476b2o56b2o597b
2o56b2o$476b2o56b2o597b2o56b2o9$32b2o56b2o1485b2o56b2o$32b2o56b2o1485b
2o56b2o17$259b2o56b2o1031b2o56b2o$259b2o56b2o1031b2o56b2o2$476b2o56b2o
597b2o56b2o$476b2o56b2o597b2o56b2o9$32b2o56b2o1485b2o56b2o$32b2o56b2o
1485b2o56b2o17$259b2o56b2o1031b2o56b2o$259b2o56b2o1031b2o56b2o2$476b2o
56b2o597b2o56b2o$476b2o56b2o597b2o56b2o9$32b2o56b2o1485b2o56b2o$32b2o
56b2o1485b2o56b2o17$259b2o56b2o1031b2o56b2o$259b2o56b2o1031b2o56b2o2$
476b2o56b2o597b2o56b2o$476b2o56b2o597b2o56b2o9$32b2o56b2o1485b2o56b2o$
32b2o56b2o1485b2o56b2o17$259b2o56b2o1031b2o56b2o$259b2o56b2o1031b2o56b
2o2$476b2o56b2o597b2o56b2o$476b2o56b2o597b2o56b2o9$32b2o56b2o1485b2o
56b2o$32b2o56b2o1485b2o56b2o17$259b2o56b2o1031b2o56b2o$259b2o56b2o
1031b2o56b2o2$476b2o56b2o597b2o56b2o$476b2o56b2o597b2o56b2o9$32b2o56b
2o1485b2o56b2o$32b2o56b2o1485b2o56b2o17$259b2o56b2o1031b2o56b2o$259b2o
56b2o1031b2o56b2o2$476b2o56b2o597b2o56b2o$476b2o56b2o597b2o56b2o9$32b
2o56b2o1485b2o56b2o$32b2o56b2o1485b2o56b2o17$259b2o56b2o1031b2o56b2o$
259b2o56b2o1031b2o56b2o2$476b2o56b2o597b2o56b2o$476b2o56b2o597b2o56b2o
9$32b2o56b2o1485b2o56b2o$32b2o56b2o1485b2o56b2o17$259b2o56b2o1031b2o
56b2o$259b2o56b2o1031b2o56b2o2$476b2o56b2o597b2o56b2o$476b2o56b2o597b
2o56b2o9$32b2o56b2o1485b2o56b2o$32b2o56b2o1485b2o56b2o17$259b2o56b2o
1031b2o56b2o$259b2o56b2o1031b2o56b2o2$476b2o56b2o597b2o56b2o$476b2o56b
2o597b2o56b2o9$32b2o56b2o1485b2o56b2o$32b2o56b2o1485b2o56b2o17$259b2o
56b2o1031b2o56b2o$259b2o56b2o1031b2o56b2o2$476b2o56b2o597b2o56b2o$476b
2o56b2o597b2o56b2o9$32b2o56b2o1485b2o56b2o$32b2o56b2o1485b2o56b2o17$
259b2o56b2o1031b2o56b2o$259b2o56b2o1031b2o56b2o2$476b2o56b2o597b2o56b
2o$476b2o56b2o597b2o56b2o9$32b2o56b2o1485b2o56b2o$32b2o56b2o1485b2o56b
2o17$259b2o56b2o1031b2o56b2o$259b2o56b2o1031b2o56b2o2$476b2o56b2o597b
2o56b2o$476b2o56b2o597b2o56b2o9$32b2o56b2o1485b2o56b2o$32b2o56b2o1485b
2o56b2o17$259b2o56b2o1031b2o56b2o$259b2o56b2o1031b2o56b2o2$476b2o56b2o
597b2o56b2o$476b2o56b2o597b2o56b2o9$32b2o56b2o1485b2o56b2o$32b2o56b2o
1485b2o56b2o17$259b2o56b2o1031b2o56b2o$259b2o56b2o1031b2o56b2o2$476b2o
56b2o597b2o56b2o$476b2o56b2o597b2o56b2o9$32b2o56b2o1485b2o56b2o$32b2o
56b2o1485b2o56b2o17$259b2o56b2o1031b2o56b2o$259b2o56b2o1031b2o56b2o2$
476b2o56b2o597b2o56b2o$476b2o56b2o597b2o56b2o9$32b2o56b2o1485b2o56b2o$
32b2o56b2o1485b2o56b2o17$259b2o56b2o1031b2o56b2o$259b2o56b2o1031b2o56b
2o2$476b2o56b2o597b2o56b2o$476b2o56b2o597b2o56b2o9$32b2o56b2o1485b2o
56b2o$32b2o56b2o1485b2o56b2o17$259b2o56b2o1031b2o56b2o$259b2o56b2o
1031b2o56b2o2$476b2o56b2o597b2o56b2o$476b2o56b2o597b2o56b2o9$32b2o56b
2o1485b2o56b2o$32b2o56b2o1485b2o56b2o17$259b2o56b2o1031b2o56b2o$259b2o
56b2o1031b2o56b2o2$476b2o56b2o597b2o56b2o$476b2o56b2o597b2o56b2o9$32b
2o56b2o1485b2o56b2o$32b2o56b2o1485b2o56b2o17$259b2o56b2o1031b2o56b2o$
259b2o56b2o1031b2o56b2o2$476b2o56b2o597b2o56b2o$476b2o56b2o597b2o56b2o
9$32b2o56b2o1485b2o56b2o$32b2o56b2o1485b2o56b2o17$259b2o56b2o1031b2o
56b2o$259b2o56b2o1031b2o56b2o2$476b2o56b2o597b2o56b2o$476b2o56b2o597b
2o56b2o9$32b2o56b2o1485b2o56b2o$32b2o56b2o1485b2o56b2o17$259b2o56b2o
1031b2o56b2o$259b2o56b2o1031b2o56b2o2$476b2o56b2o597b2o56b2o$476b2o56b
2o597b2o56b2o9$32b2o56b2o1485b2o56b2o$32b2o56b2o1485b2o56b2o17$259b2o
56b2o1031b2o56b2o$259b2o56b2o1031b2o56b2o2$476b2o56b2o597b2o56b2o$476b
2o56b2o597b2o56b2o9$32b2o56b2o1485b2o56b2o$32b2o56b2o1485b2o56b2o17$
259b2o56b2o1031b2o56b2o$259b2o56b2o1031b2o56b2o2$476b2o56b2o597b2o56b
2o$476b2o56b2o597b2o56b2o9$32b2o56b2o1485b2o56b2o$32b2o56b2o1485b2o56b
2o17$259b2o56b2o1031b2o56b2o$259b2o56b2o1031b2o56b2o2$476b2o56b2o597b
2o56b2o$476b2o56b2o597b2o56b2o9$32b2o56b2o1485b2o56b2o$32b2o56b2o1485b
2o56b2o17$259b2o56b2o1031b2o56b2o$259b2o56b2o1031b2o56b2o2$476b2o56b2o
597b2o56b2o$476b2o56b2o597b2o56b2o9$32b2o56b2o1485b2o56b2o$32b2o56b2o
1485b2o56b2o17$259b2o56b2o1031b2o56b2o$259b2o56b2o1031b2o56b2o2$476b2o
56b2o597b2o56b2o$476b2o56b2o597b2o56b2o9$32b2o56b2o1485b2o56b2o$32b2o
56b2o1485b2o56b2o17$259b2o56b2o1031b2o56b2o$259b2o56b2o1031b2o56b2o2$
476b2o56b2o597b2o56b2o$476b2o56b2o597b2o56b2o9$32b2o56b2o1485b2o56b2o$
32b2o56b2o1485b2o56b2o17$259b2o56b2o1031b2o56b2o$259b2o56b2o1031b2o56b
2o2$476b2o56b2o597b2o56b2o$476b2o56b2o597b2o56b2o9$32b2o56b2o1485b2o
56b2o$32b2o56b2o1485b2o56b2o17$259b2o56b2o1031b2o56b2o$259b2o56b2o
1031b2o56b2o2$476b2o56b2o597b2o56b2o$476b2o56b2o597b2o56b2o9$32b2o56b
2o1485b2o56b2o$32b2o56b2o1485b2o56b2o17$259b2o56b2o1031b2o56b2o$259b2o
56b2o1031b2o56b2o2$476b2o56b2o597b2o56b2o$476b2o56b2o597b2o56b2o9$32b
2o56b2o1485b2o56b2o$32b2o56b2o1485b2o56b2o17$259b2o56b2o1031b2o56b2o$
259b2o56b2o1031b2o56b2o2$476b2o56b2o597b2o56b2o$476b2o56b2o597b2o56b2o
9$32b2o56b2o1485b2o56b2o$32b2o56b2o1485b2o56b2o17$259b2o56b2o1031b2o
56b2o$259b2o56b2o1031b2o56b2o2$476b2o56b2o597b2o56b2o$476b2o56b2o597b
2o56b2o9$32b2o56b2o1485b2o56b2o$32b2o56b2o1485b2o56b2o17$259b2o56b2o
1031b2o56b2o$259b2o56b2o1031b2o56b2o2$476b2o56b2o597b2o56b2o$476b2o56b
2o597b2o56b2o9$32b2o56b2o1485b2o56b2o$32b2o56b2o1485b2o56b2o17$259b2o
56b2o1031b2o56b2o$259b2o56b2o1031b2o56b2o2$476b2o56b2o597b2o56b2o$476b
2o56b2o597b2o56b2o9$32b2o56b2o1485b2o56b2o$32b2o56b2o1485b2o56b2o17$
259b2o56b2o1031b2o56b2o$259b2o56b2o1031b2o56b2o2$476b2o56b2o597b2o56b
2o$476b2o56b2o597b2o56b2o9$32b2o56b2o1485b2o56b2o$32b2o56b2o1485b2o56b
2o17$259b2o56b2o1031b2o56b2o$259b2o56b2o1031b2o56b2o2$476b2o56b2o597b
2o56b2o$476b2o56b2o597b2o56b2o9$32b2o56b2o1485b2o56b2o$32b2o56b2o1485b
2o56b2o17$259b2o56b2o1031b2o56b2o$259b2o56b2o1031b2o56b2o2$476b2o56b2o
597b2o56b2o$476b2o56b2o597b2o56b2o9$32b2o56b2o1485b2o56b2o$32b2o56b2o
1485b2o56b2o17$259b2o56b2o1031b2o56b2o$259b2o56b2o1031b2o56b2o2$476b2o
56b2o597b2o56b2o$476b2o56b2o597b2o56b2o9$32b2o56b2o1485b2o56b2o$32b2o
56b2o1485b2o56b2o17$259b2o56b2o1031b2o56b2o$259b2o56b2o1031b2o56b2o2$
476b2o56b2o597b2o56b2o$476b2o56b2o597b2o56b2o9$32b2o56b2o1485b2o56b2o$
32b2o56b2o1485b2o56b2o17$259b2o56b2o1031b2o56b2o$259b2o56b2o1031b2o56b
2o2$476b2o56b2o597b2o56b2o$476b2o56b2o597b2o56b2o9$32b2o56b2o1485b2o
56b2o$32b2o56b2o1485b2o56b2o17$259b2o56b2o1031b2o56b2o$259b2o56b2o
1031b2o56b2o2$476b2o56b2o597b2o56b2o$476b2o56b2o597b2o56b2o9$32b2o56b
2o1485b2o56b2o$32b2o56b2o1485b2o56b2o17$259b2o56b2o1031b2o56b2o$259b2o
56b2o1031b2o56b2o2$476b2o56b2o597b2o56b2o$476b2o56b2o597b2o56b2o9$32b
2o56b2o1485b2o56b2o$32b2o56b2o1485b2o56b2o17$259b2o56b2o1031b2o56b2o$
259b2o56b2o1031b2o56b2o2$476b2o56b2o597b2o56b2o$476b2o56b2o597b2o56b2o
9$32b2o56b2o1485b2o56b2o$32b2o56b2o1485b2o56b2o17$259b2o56b2o1031b2o
56b2o$259b2o56b2o1031b2o56b2o2$476b2o56b2o597b2o56b2o$476b2o56b2o597b
2o56b2o9$32b2o56b2o1485b2o56b2o$32b2o56b2o1485b2o56b2o17$259b2o56b2o
1031b2o56b2o$259b2o56b2o1031b2o56b2o2$476b2o56b2o597b2o56b2o$476b2o56b
2o597b2o56b2o9$32b2o56b2o1485b2o56b2o$32b2o56b2o1485b2o56b2o17$259b2o
56b2o1031b2o56b2o$259b2o56b2o1031b2o56b2o2$476b2o56b2o597b2o56b2o$476b
2o56b2o597b2o56b2o9$32b2o56b2o1485b2o56b2o$32b2o56b2o1485b2o56b2o17$
259b2o56b2o1031b2o56b2o$259b2o56b2o1031b2o56b2o2$476b2o56b2o597b2o56b
2o$476b2o56b2o597b2o56b2o9$32b2o56b2o1485b2o56b2o$32b2o56b2o1485b2o56b
2o17$259b2o56b2o1031b2o56b2o$259b2o56b2o1031b2o56b2o2$476b2o56b2o597b
2o56b2o$476b2o56b2o597b2o56b2o9$32b2o56b2o1485b2o56b2o$32b2o56b2o1485b
2o56b2o17$259b2o56b2o1031b2o56b2o$259b2o56b2o1031b2o56b2o2$476b2o56b2o
597b2o56b2o$476b2o56b2o597b2o56b2o9$32b2o56b2o1485b2o56b2o$32b2o56b2o
1485b2o56b2o17$259b2o56b2o1031b2o56b2o$259b2o56b2o1031b2o56b2o2$476b2o
56b2o597b2o56b2o$476b2o56b2o597b2o56b2o9$32b2o56b2o1485b2o56b2o$32b2o
56b2o1485b2o56b2o17$259b2o56b2o1031b2o56b2o$259b2o56b2o1031b2o56b2o2$
476b2o56b2o597b2o56b2o$476b2o56b2o597b2o56b2o9$32b2o56b2o1485b2o56b2o$
32b2o56b2o1485b2o56b2o17$259b2o56b2o1031b2o56b2o$259b2o56b2o1031b2o56b
2o2$476b2o56b2o597b2o56b2o$476b2o56b2o597b2o56b2o9$32b2o56b2o1485b2o
56b2o$32b2o56b2o1485b2o56b2o17$259b2o56b2o1031b2o56b2o$259b2o56b2o
1031b2o56b2o2$476b2o56b2o597b2o56b2o$476b2o56b2o597b2o56b2o9$32b2o56b
2o1485b2o56b2o$32b2o56b2o1485b2o56b2o17$259b2o56b2o1031b2o56b2o$259b2o
56b2o1031b2o56b2o2$476b2o56b2o597b2o56b2o$476b2o56b2o597b2o56b2o9$32b
2o56b2o1485b2o56b2o$32b2o56b2o1485b2o56b2o17$259b2o56b2o1031b2o56b2o$
259b2o56b2o1031b2o56b2o2$476b2o56b2o597b2o56b2o$476b2o56b2o597b2o56b2o
9$32b2o56b2o1485b2o56b2o$32b2o56b2o1485b2o56b2o17$259b2o56b2o1031b2o
56b2o$259b2o56b2o1031b2o56b2o2$476b2o56b2o597b2o56b2o$476b2o56b2o597b
2o56b2o9$32b2o56b2o1485b2o56b2o$32b2o56b2o1485b2o56b2o17$259b2o56b2o
1031b2o56b2o$259b2o56b2o1031b2o56b2o2$476b2o56b2o597b2o56b2o$476b2o56b
2o597b2o56b2o9$32b2o56b2o1485b2o56b2o$32b2o56b2o1485b2o56b2o17$259b2o
56b2o1031b2o56b2o$259b2o56b2o1031b2o56b2o2$476b2o56b2o597b2o56b2o$476b
2o56b2o597b2o56b2o9$32b2o56b2o1485b2o56b2o$32b2o56b2o1485b2o56b2o17$
259b2o56b2o1031b2o56b2o$259b2o56b2o1031b2o56b2o2$476b2o56b2o597b2o56b
2o$476b2o56b2o597b2o56b2o9$32b2o56b2o1485b2o56b2o$32b2o56b2o1485b2o56b
2o17$259b2o56b2o1031b2o56b2o$259b2o56b2o1031b2o56b2o2$1133b2o56b2o$
477bob3o651b2o56b2o$475bo$474bo5b2o47bo$474bo3b2o47b4o$475bo6b3o46bo$
482bobo43bo3bo4bo$482bo2bo43bobo5bo$483bobo44bo6bo$32bo450b3o$31b2o
1544b2o56b2o$31bobo1543b2o56b2o$29bobobo$27bob2ob2o59bo$26bo58b2o6bo
378b2o64b2o$27b2o56bo386b2o64b2o$41bo43b3o4bobo$41bo39b3o8bobo$41bo51b
o4$476b2o56b2o$476b2o56b2o$28b2o64b2o$28b2o64b2o3$259b2o56b2o1031b2o
56b2o$317b2o1031b2o56b2o$1132b2o$259b2o871bobo$32b2o56b2o167b2obob3o
865bobo$32b2o56b2o161bo6b3ob2obo861b2obob2o$253bo6b2o2bob2o50b2o248bob
o558b6o$254bo3b2o4bo2bo45b2o2bo2bo163b2o40b2o41b2o556bo2bo55b2o$258b3o
2bobo5b3o38b3o2bo7b2o157b2o40b2o41bo558bo56bo2bo5bo$258bobo4bo5bobo3bo
34b3ob2o4bo3b2o855bob3o$3bo269bo3bo24b2o3bobo2b3ob4o2bobo2bo109bo703b
3o39bo3bo5bobo$3bobo243b3o9b2o8b2o4bo23b3o3bo2bobo9b4ob2o107bo746bo10b
o$3b2o242b2o4b3o5b3o7bo30bo3bo7bo8bo3bo108b3o$247b2ob3o2b2o4b3o41b2o7b
o8b2obo1249b3o57bo$247b2o8b2o8bo45bo10b2o6bo1243bo57b2obo$123bobo123b
3o2b2o2bo8bo34b4o6bo20b2o1239bobobo49b3o2bo3bo$bo122b2o123bo4bo3bo7bo
40bo3bo20b2o1238b3o2b2o52bo5bo$2o38b2o40b2o40bo126bo3b3o45b4o822b2o64b
2o375b2o58bobob2o$obo37b2o40b2o221bo823b2o64b2o375b2o55bo4bobobo$239bo
1390b3obobobo$239bobo1334bo8b3o44b2o3bo$239b2o$259b2o56b2o1255bo44bo$
259b2o56b2o1256bo42b3o$1617bobobo$476b2o56b2o597b2o56b2o424bobobo$476b
2o56b2o597b2o56b2o425b3o19b2o$1573b2o44bo19bo3bo$1573b2o64bo5bo$1640b
2obobo$493bo1147bo4bo$492bo612bo244b2o56b2o231bo4bo$492b3o608b2o245b2o
56b2o231bo4bo$1104b2o536b3o2$32b2o33bobo20b2o175b2o40b2o211bo1054b2o
56b2o$32b2o34b2o20b2o175b2o40b2o212b2o701bo350b2o56b2o23bo$68bo453b2o
577b2o121bobo178bo3bo248bobo$484b2o40b2o573bobo37b2o40b2o40b2o123b2o
52bo3bob2o4bo242b2o$50bo244bo188b2o40b2o573bo39b2o40b2o165b2o52bo3bob
2o5bo$49bo245bobo1106bo2b2ob4o3bo$49b3o243b2o1055bo40bo5b2o3bo4b2o2bo
4bo129bobo$1341b3o7bobo13bo25b2o3b3o2bo2bo7b5o129b2o$1340bo3bo9bo10b2o
b2o22bo4bo2bo2b3o8bo3bo130bo$285bobo1053bo2bo5b2o2bo2b2o6bo31b6obo10bo
bo$61bo224b2o1053bo2bo5b3ob2ob2o6bo3bo27bob5o11b2o7bo$60b2o224bo1056bo
7bo2bo11b3o24b2ob3o2b3o18bobo$60bobo1281b2o3b2ob2o40bo2b2o24b2o$40b2o
40b2o1265b5o40b3o188b2o40b2o$40b2o40b2o1265b3o233b2o40b2o$1390b2o2b2o
2$1662bo$259b2o56b2o1031b2o56b2o252b2o$259b2o56b2o1031b2o56b2o251bobo
2$476b2o56b2o597b2o35bo20b2o$476b2o56b2o597b2o33bobo20b2o$1169b2o3$
1150bobo451bobo$1150b2o452b2o$1151bo453bo2$1368bo244bo$32b2o56b2o175b
2o40b2o850b2o195b2o6bobo31b2o175b2o35bo20b2o$32b2o56b2o175b2o40b2o850b
obo194b2o7b2o31b2o175b2o33b3o20b2o$1161bo$1141b2o40b2o$1141b2o40b2o
201bobo$1386b2o$1387bo2$121bo$120b2o$120bobo3$1585b2o40b2o$1585b2o40b
2o$1602bo$1602b2o$1601bobo$259b2o56b2o1031b2o56b2o$259b2o56b2o1031b2o
56b2o2$476b2o56b2o597b2o56b2o$476b2o56b2o597b2o56b2o7$1221b2o$1221bobo
$32b2o56b2o1129bo136b2o40b2o175b2o56b2o$32b2o56b2o1266b2o40b2o175b2o
56b2o5$181bo$180b2o$180bobo5$1542bo$1542b2o$1541bobo12$1281b2o$1281bob
o$1281bo6$1488bobo$1488b2o$1489bo2$1484bo$1482bobo$1483b2o!

So those are technically workable backward and forward rakes for these particular 599-spaced tracks. Is there an easy way to redesign the backward rake so that it shoots to the outside of its track, so that the gliders don't have to cross the other track? Or is there a track spacing that doesn't need rephasers for either the forward or backward rakes?

These tracks are wonderfully permeable. It looks like there are twelve different lanes that a backward glider can take through the block trails, as opposed to only four lanes for forward gliders.

I guess the more general question is: is there a better overall spacing? Should probably do a good survey before getting locked in to the current spacing. Measuring from one block track to the next, the full specification for the current 12-trail double track is

58 : 169 : 58 : 159 : 58 : 599 : 58 : 159 : 58 : 169 : 58

Seems to me any of these numbers could potentially be changed. All other things being equal, maybe smaller is better: what's the narrowest track that supports forward and backward rakes on both sides, with a minimum of rephasing?
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Re: 31c/240 caterpillar working notes

Postby codeholic » January 9th, 2014, 3:23 pm

It should be possible to edge-shoot forward spaceships with slow salvos. This can actually reduce the number of required rake tracks down to two, one for each of caterpillar units.
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Re: 31c/240 caterpillar working notes

Postby dvgrn » January 9th, 2014, 3:54 pm

codeholic wrote:It should be possible to edge-shoot forward spaceships with slow salvos. This can actually reduce the number of required rake tracks down to two, one for each of caterpillar units.

A couple of days ago I looked through the known *WSS to see if any of them could be used as edge-shooters, but I didn't find anything offhand. Do you have a particular spaceship synthesis in mind, or is this something that will need a new search?

31c/240 is much slower than gliders and spaceships, so any forward *WSS output from a slow salvo will immediately pass through the space where the next *WSS in the series will be constructed, 240-62=178 ticks later. The slow salvo's final seed can't include anything that protrudes into the *WSS lane. (Or am I missing something important here?)

It's fairly straightforward to use a slow salvo to build a multi-glider seed -- for LWSSes and MWSSes they could be something along the lines of the one-sided recipes used in the Caterpillar. The seed won't be triggered until the previous *WSS is safely past, or at least well on its way, so nothing will have to be anywhere near the *WSS lane.

Is that more or less your plan, or were you thinking more along the lines of direct *WSS edge-shooter recipes?
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Re: 31c/240 caterpillar working notes

Postby codeholic » January 9th, 2014, 4:11 pm

dvgrn wrote:The slow salvo's final seed can't include anything that protrudes into the *WSS lane. (Or am I missing something important here?)

I think, all you've said is true, except that it doesn't have to be the final seed. There may be some junk left after shooting a spaceship to be cleaned up later by gliders, unless it's on the lane.

dvgrn wrote:It's fairly straightforward to use a slow salvo to build a multi-glider seed

This is also a good option, but that will need a much longer recipe, than a direct synthesis.

Can Paul Chapman's Glue be used for finding such salvo?

EDIT: There probably must be some junk left to serve as a slow salvo target for the next synthesis. The original slow salvo target should be provided by the front pattern.
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Re: 31c/240 caterpillar working notes

Postby codeholic » January 9th, 2014, 5:39 pm

Theoretically, even a well-known LWSS seed will work, unless one needs a tight spaceship stream.
x = 49, y = 51, rule = B3/S23
44b2o$44b2o5$47b2o$47b2o$33b2o$33b2o10$38b3o$37bo2bo$40bo$40bo$37bobo
25$b2o$obo$2bo!
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Re: 31c/240 caterpillar working notes

Postby dvgrn » January 9th, 2014, 5:41 pm

codeholic wrote:
dvgrn wrote:The slow salvo's final seed can't include anything that protrudes into the *WSS lane. (Or am I missing something important here?)

I think, all you've said is true, except that it doesn't have to be the final seed. There may be some junk left after shooting a spaceship to be cleaned up later by gliders, unless it's on the lane.

True enough. While I was wishing, I figured I might as well wish for a clean edge-shooter recipe...!

codeholic wrote:
dvgrn wrote:It's fairly straightforward to use a slow salvo to build a multi-glider seed

...Can Paul Chapman's Glue be used for finding such salvo?

Theoretically, yes; in practice, no. Glue was written to find slow-salvo recipes for still lifes, so it automatically throws away any reactions that fail to remain within a small bounding box. This assumption is buried fairly deeply in the Smalltalk code. Glue runs on a fairly archaic version of Smalltalk, I believe, which isn't really happy with operating systems more recent than Windows 98 -- and I have not yet managed to get Paul to send me the source code anyway. At this point the executable runs only on my oldest desktop machine.

Long story short, I suspect it would be much easier to rewrite Glue from the ground up, with a wider range of search targets in mind, than to try to adapt the existing codebase to this new purpose.

codeholic wrote:EDIT: There probably must be some junk left to serve as a slow salvo target for the next synthesis. The original slow salvo target should be provided by the front pattern.

That changes my mental picture of this construction method. Let's see: one initial block (or some other "hand" target) is created by a forward/backward rake collision, on each side at the front of the ship. After that we might as well just use backward rakes to make the slow salvo. We gradually convert the target into an edge-shooting seed for the insidemost LWSS -- plus another block, out of the way of the trigger glider and a little farther away from the body of the spaceship.

When the final backward rake comes along and triggers the line of LWSS seeds, a line of LWSSes heads north, passing all the construction stages for that seed -- that's why an edge-shooter is needed.

Another line of backward rakes then converts the leftover target into the next edge-shooting backward LWSS seed, and so on. The LWSSes travel to the front of the ship, where they reflect forward-rake streams to build the block trails.

There are some significant worries with this design, though. For example, the complete seeds have to fit into a 31-cell-wide stripe. The stripe can be bent in various ways, but it can't be more than 31 cells wide because the almost-complete seeds will be stacked together in a long column before they're triggered. None of the construction reactions can create sparks that interfere with intermediate targets in neighboring stripes.

It's not clear that all this will end up being more efficient than an old-fashioned Caterpillar-esque design, with the LWSSes created more directly glider salvos constructed by expensive kickback reactions and so forth. But it certainly would be interesting to see the thing working!
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Re: 31c/240 caterpillar working notes

Postby dvgrn » January 9th, 2014, 5:46 pm

codeholic wrote:Theoretically, even a well-known LWSS seed will work, unless one needs a tight spaceship stream.

Hmm, minimum spacing 11 cells away on the left, 14 cells on the right -- to be fed by a forward rake. I'll have a quick look and see if there's a pair of LWSSes that far apart that can reflect a glider.

EDIT: This could be a little tricky, though -- two of the blocks are beyond the LWSS stream, so they'd have to get pushed there basically in between oncoming LWSSes, and with no intermediates in the LWSS lane. Not exactly a nice simple slow salvo any more.

Probably it's better to go dig up a true edge-shooting LWSS seed, not just a transparent one like this. Seems like it would also be more efficient to use a backward LWSS seed, so that the slow salvo can be fed by cheap backward rakes...?
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Re: 31c/240 caterpillar working notes

Postby codeholic » January 9th, 2014, 5:58 pm

dvgrn wrote:We gradually convert the target into an edge-shooting seed for the insidemost LWSS -- plus another block, out of the way of the trigger glider and a little farther away from the body of the spaceship.

Exactly. Except that it doesn't have to be farther away from the body (though it's desirable), it can be closer, and thrown over the lane to the other side later.

dvgrn wrote:It's not clear that all this will end up being more efficient than an old-fashioned Caterpillar-esque design, with the LWSSes created more directly glider salvos constructed by expensive kickback reactions and so forth. But it certainly would be interesting to see the thing working!

I'm not sure about efficiency, but it would be definitely easier to build, if one just found a slow salvo recipe under those restrictions you pointed out. It gives me headache to think about all those kickback reactions and synchronization issues one would face using the traditional approach, not to mention creating and then cleaning up at least twice as much Herschel trails.
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Re: 31c/240 caterpillar working notes

Postby codeholic » January 9th, 2014, 8:50 pm

Here is a good LWSS seed for a backrake:
x = 193, y = 291, rule = B3/S23
2bo$obo$b2o89$62bo$60bobo$61b2o89$122bo$120bobo64b2o2b2o$121b2o64b2o2b
2o12$186b2o$186b2o17$187b2o2b2o$187b2o2b2o12$186b2o$186b2o17$187b2o2b
2o$187b2o2b2o12$186b2o$186b2o14$182bo$180bobo$181b2o$187b2o2b2o$187b2o
2b2o12$186b2o$186b2o!
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Re: 31c/240 caterpillar working notes

Postby codeholic » January 9th, 2014, 9:00 pm

codeholic wrote:
dvgrn wrote:We gradually convert the target into an edge-shooting seed for the insidemost LWSS -- plus another block, out of the way of the trigger glider and a little farther away from the body of the spaceship.

Exactly. Except that it doesn't have to be farther away from the body (though it's desirable), it can be closer, and thrown over the lane to the other side later.

Actually, it does not have to be thrown over, it can even be pushed, because it would not interfere with the spaceship stream, since the latter has flown ahead by this time.
Last edited by codeholic on January 9th, 2014, 9:03 pm, edited 1 time in total.
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Re: 31c/240 caterpillar working notes

Postby dvgrn » January 9th, 2014, 9:02 pm

codeholic wrote:Here is a good LWSS seed for a backrake...

Nice! Here's one possible workable way to suppress the blinkers --

x = 133, y = 200, rule = B3/S23
obo$b2o$bo89$60bobo$61b2o$61bo29$102b2o$102b2o23b2o2b2o$127b2o2b2o12$
126b2o$126b2o16$102b2o$102b2o23b2o2b2o$127b2o2b2o12$126b2o$126b2o14$
120bobo$121b2o$102b2o17bo$102b2o23b2o2b2o$127b2o2b2o12$126b2o$126b2o!

-- but maybe gencols can come up with something cleaner. There's really no particular reason why the sacrificial still life should be a block; most other common still lifes are only slightly more expensive to build than blocks, anyway.
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Re: 31c/240 caterpillar working notes

Postby codeholic » January 9th, 2014, 9:06 pm

dvgrn wrote:Nice! Here's one possible workable way to suppress the blinkers --

It is much cheaper to clean it up with gliders afterwards than to build a clean seed with a slow salvo. (Unless you can get it almost for free.)
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Re: 31c/240 caterpillar working notes

Postby dvgrn » January 9th, 2014, 11:36 pm

Have spent a little time experimenting with adjustments to the block-trail locations. There's a huge variety of possible timings and spacings for the two Herschels in each pair, as well as between the different Herschel pairs. Here's a backward rake with considerably tighter spacing. All the blocks in the trails are lined up exactly with each other -- I'm thinking this might make construction at the front end a little bit easier.

x = 391, y = 737, rule = B3/S23
21b2o52b2o90b2o52b2o102b2o52b2o$21b2o52b2o90b2o52b2o102b2o52b2o30$21b
2o52b2o90b2o52b2o102b2o52b2o$21b2o52b2o90b2o52b2o102b2o52b2o30$21b2o
52b2o90b2o52b2o102b2o52b2o$21b2o52b2o90b2o52b2o102b2o52b2o30$21b2o52b
2o90b2o52b2o102b2o52b2o$21b2o52b2o90b2o52b2o102b2o52b2o30$21b2o52b2o
90b2o52b2o102b2o52b2o$21b2o52b2o90b2o52b2o102b2o52b2o30$21b2o52b2o90b
2o52b2o102b2o52b2o$21b2o52b2o90b2o52b2o102b2o52b2o30$21b2o52b2o90b2o
52b2o102b2o52b2o$21b2o52b2o90b2o52b2o102b2o52b2o30$21b2o52b2o90b2o52b
2o102b2o52b2o$21b2o52b2o90b2o52b2o102b2o52b2o30$21b2o52b2o90b2o52b2o
102b2o52b2o$21b2o52b2o90b2o52b2o102b2o52b2o30$21b2o52b2o90b2o52b2o102b
2o52b2o$21b2o52b2o90b2o52b2o102b2o52b2o30$21b2o52b2o90b2o52b2o102b2o
52b2o$21b2o52b2o90b2o52b2o102b2o52b2o30$21b2o52b2o90b2o52b2o102b2o52b
2o$21b2o52b2o90b2o52b2o102b2o52b2o30$21b2o52b2o90b2o52b2o102b2o52b2o$
21b2o52b2o90b2o52b2o102b2o52b2o30$21b2o52b2o90b2o52b2o102b2o52b2o$21b
2o52b2o90b2o52b2o102b2o52b2o30$21b2o52b2o90b2o52b2o102b2o52b2o$21b2o
52b2o90b2o52b2o102b2o52b2o30$21b2o52b2o90b2o52b2o102b2o52b2o$21b2o52b
2o90b2o52b2o102b2o52b2o30$21b2o52b2o90b2o52b2o102b2o52b2o$21b2o52b2o
90b2o52b2o102b2o52b2o30$21b2o52b2o90b2o52b2o102b2o52b2o$21b2o52b2o90b
2o52b2o102b2o52b2o30$21b2o52b2o90b2o52b2o102b2o52b2o$21b2o52b2o90b2o
52b2o102b2o52b2o30$21b2o52b2o90b2o52b2o102b2o52b2o$21b2o52b2o90b2o52b
2o102b2o52b2o28$324bo$74b3o246b3o52b3o$74b3o90b2o52b2o99bo3b2o50b3o$
167b2o52b2o100b5o$22bo46bo2bo255bo44bo2bo$22b2o3bo41bo2b2o5b2o241b2o3b
o45bo2b2o5b2o$22bob2ob2o44bob6o241b2o2b2o49bob6o$23b2o2b4o38bo3bo2bo2b
o244b2o47bo3bo2bo2bo$23b2obob3o38bo4b3ob2o254bo38bo4b3ob2o$23b4o2b2o3b
o36b3o3b2o255bo40b3o3b2o$19b2ob2obob2o4bob2o297bo$21b3o3bo4b2ob2o2bo
18b3o301b3o$12bo9b3o7b2ob2o2bo18b3o301b3o$10b3o2b2o5b3o7bo2bo3bo19bo
303bo$9b5o5bo2b2o9b2o24bo303bo$8b2o3bo6bo2b2o33b3o301b3o$12bobo6bo2bo
33b3o18b2o240b2o39b3o18b2o$10b4o2b2o3bo57bobo239b2o60bobo$11bo4bo3b2o
61bobo301bobo$17b3o60bo5bo297bo5bo$17b3o61bo303bo$bo$o$3o79bobo301bobo
$21b2o52b2o248b2o52b2o$21b2o52b2o248b2o52b2o$100bo$101b2o$100b2o3$295b
o$295bobo$167b2o52b2o72b2o$167b2o52b2o3$29b2o36b2o264b2o36b2o$29b2o36b
2o264b2o36b2o$50b2o$49b2o$51bo3$217b3o$216bo3bo$48bo167bo2b2o122b2o$
49b2o165b2o124bobo$48b2o294bo$218b2o$217bo2bo$43bo175b2o126bo$43bobo
125b2o174bobo$43b2o125bobo174b2o$169b2o$21b2o52b2o94bo49b2o102b2o52b2o
$21b2o52b2o94bobo47b2o102b2o34bobo15b2o$173b2o187b2o$172b3o187bo2$211b
o$211bobo$211b2o6$29b2o36b2o41b2o63b2o36b2o118b2o36b2o$29b2o36b2o40b2o
64b2o36b2o118b2o36b2o$111bo5$283b2o$282bobo$284bo9$21b2o52b2o90b2o52b
2o102b2o52b2o$21b2o52b2o90b2o52b2o102b2o52b2o12$175b2o36b2o$175b2o36b
2o17$21b2o52b2o90b2o52b2o102b2o52b2o$21b2o52b2o90b2o52b2o102b2o52b2o!

This particular spacing isn't a good idea in terms of the permeability of the block trails, though. It's better if the distance between adjacent trails is close to a multiple of 31, so that the blocks are more or less in each others' shadows. At some point I might attempt a set of forward and backward rakes with 62 cells between the pairs. This one is ten cells too narrow -- 54:92:54:104:54.
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Re: 31c/240 caterpillar working notes

Postby codeholic » January 10th, 2014, 12:11 pm

codeholic wrote:not to mention creating and then cleaning up at least twice as much Herschel trails.

Actually, four times as much for the synthesis used in the caterpillar. And probably one would need throwers and catchers in order to avoid glider stream conflicts. And coding all this stuff would require much more effort than arranging crawlers on a single track for slow salvo construction.
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Re: 31c/240 caterpillar working notes

Postby codeholic » January 10th, 2014, 12:17 pm

Dave, have you tried to feed this seed to the compiler you wrote for the replicator?
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