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Building a reverse caber-tosser

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Re: Building a reverse caber-tosser

Postby calcyman » June 8th, 2018, 7:43 am

Yes, it can construct itself, by roughly the following sequence of operations:

  • Construct a universal computer with some binary stream B.
  • Feed a binary stream A into the computer, where A is the integer len(B) encoded in some universal prefix-free coding.
  • Feed B into the computer.
  • Feed a prefix-free 'cleanup' program C into the computer.

So the overall recipe is BABC, and it produces a universal computer initialised with binary tapes containing A, B and C. The computer then runs the cleanup program C to remove all of the detritus (the Cordership has crashed by this point) to leave just itself and these tapes A, B, C. It then concatenates them to form BABC (the original recipe, in binary) and converts this into unary. Using this, it constructs an immense Blockic seed of OTTs which, when activated, produces the original glider synthesis. Finally, it self-destructs and fires a single glider at the Blockic seed, triggering it.

For 'practicality', B should bootstrap the construction of a block-keeper, followed by a DBCA (decoder + better construction arm), then finally the universal computer-constructor.

Your conclusion is correct: if your glider count of 324 is valid, then there are huge sprawling SMOGs with minimum population 1620 of every velocity strictly lower than the vacuum speed limit.
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Re: Building a reverse caber-tosser

Postby Redstoneboi » June 8th, 2018, 7:50 am

this design is for a constructor with a one time tape and a construction arm, but no tape copier.

first you read the tape to do a bunch of important things
- get a better construction arm
- destroy BLSE
- get a cordership catcher
- get a constructor that builds a still life everytime the cordership hits
- get a pusher component that can emit twice the number of push instructions for every input given
*1st input: outputs 1 push, 2nd input: outputs 2 pushes, 3rd input: 4 pushes
*the computer must only start testing still lives after the cordership catcher detects the approaching cordership

second the next part of the tape just repeats itself so the newly constructed tape copier can copy it.

when the tape ends, signalled by a destroyed cordership, the pusher component reads the line of still lives made by the constructor, and pushes an elbow the corresponding amount of times each time it reads a still life.

if we modify the constructor to have a tape copier, it would be easy-ish. it just keeps on pushing a still life until the cordership arrives, then constructs a cordership.
Last edited by Redstoneboi on June 8th, 2018, 8:29 am, edited 1 time in total.
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Re: Building a reverse caber-tosser

Postby 77topaz » June 8th, 2018, 8:28 am

The upper speed limit for these would be c/4 due to the usage of gliders, right, similarly to the Caterloopillars?
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Re: Building a reverse caber-tosser

Postby Redstoneboi » June 8th, 2018, 8:30 am

77topaz wrote:The upper speed limit for these would be c/4 due to the usage of gliders, right, similarly to the Caterloopillars?


that is WAY up. it uses corderships, which are c/12.
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Re: Building a reverse caber-tosser

Postby Macbi » June 8th, 2018, 8:33 am

77topaz wrote:The upper speed limit for these would be c/4 due to the usage of gliders, right, similarly to the Caterloopillars?
The speed limit would just be the speed limit for ships in general, which is c/4 diagonally and c/2 orthogonally. The use of gliders and corderships doesn't really make a difference, since they can be used to create a new constructor.
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Re: Building a reverse caber-tosser

Postby dvgrn » June 8th, 2018, 9:50 am

Macbi wrote:
77topaz wrote:The upper speed limit for these would be c/4 due to the usage of gliders, right, similarly to the Caterloopillars?
The speed limit would just be the speed limit for ships in general, which is c/4 diagonally and c/2 orthogonally. The use of gliders and corderships doesn't really make a difference, since they can be used to create a new constructor.

At least that's the argument: the limit speed of a Spaceship Made of Gliders is the fastest speed that you can push an object away from your location, without it getting away from you permanently. For c/2 orthogonal, that involves something like starting a blinker puffer, then burning it when it gets long enough and leaving a target for unidirectional construction (with *WSSes) (?!?).

For c/4, you could do the same, then send a *WSS from that target sideways to intersect with a glider, again leaving a target but this time for a more conventional construction with a unidirectional glider salvo. These aren't necessarily slow salvos, but slow salvos work and are the easiest to encode.

calcyman wrote:Your conclusion is correct: if your glider count of 324 is valid, then there are huge sprawling SMOGs with minimum population 1620 of every velocity strictly lower than the vacuum speed limit.

Is it really certain that your "immense Blockic seed of OTTs" that build, among other things, a Very^{ridiculousnumber} Far Away Cordership, can be constructed and triggered in an amount of time that's negligible relative to the time needed to push out that initial faraway target? That's a requirement for approaching the vacuum speed limit, I think.

I guess there's no reason why that couldn't be done, with a sufficiently clever computer built at some point to do all the bit-collecting and waiting around to light the blinker fuses at the exact right times.

Seems like the lowest possible period of one of these SMOGs is proportional to 2^(number of bits in the total recipe), at the least. So... um... I don't think oscar.lua is going to be verifying the period of one of these any time soon.
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Re: Building a reverse caber-tosser

Postby calcyman » June 8th, 2018, 11:09 am

dvgrn wrote:Is it really certain that your "immense Blockic seed of OTTs" that build, among other things, a Very^{ridiculousnumber} Far Away Cordership, can be constructed and triggered in an amount of time that's negligible relative to the time needed to push out that initial faraway target? That's a requirement for approaching the vacuum speed limit, I think.


Yes, for much the same reason as your following paragraph:

I guess there's no reason why that couldn't be done, with a sufficiently clever computer built at some point to do all the bit-collecting and waiting around to light the blinker fuses at the exact right times.


This would be an engineering nightmare, of course. By this point, the 'how about a unidimensional spaceship?' challenge seems incredibly tame by comparison.
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Re: Building a reverse caber-tosser

Postby dvgrn » June 8th, 2018, 11:22 am

calcyman wrote:This would be an engineering nightmare, of course. By this point, the 'how about a unidimensional spaceship?' challenge seems incredibly tame by comparison.

Yes, and then a minimal SMOG is incredibly tame in comparison with that. And a mere quadratic-growth replicator is quite a bit easier still.

That last one we actually know how to do now. Mostly it's just a matter of stringing the pieces together. I wish someone would get their act together and do that, so I don't have to...

Anyway, congratulations all round! It looks like we're collectively cleverer than Gustavo's MIT hackers, since they needed several dozen more gliders to build their universal constructor.

I can see why the pattern was too big for Gustavo to post, now. I thought at the time that RLE for 386 gliders would have to be a fairly reasonable size -- but if they were using a faraway object to encode a recipe, a couple of the numbers in the RLE would have been several gigabytes each. That should teach me not to be so smug and self-assured about dismissing crazy-sounding ideas as impossible.

Those big run lengths would have made it tough to fit the pattern into canonical RLE, come to think of it, given the 70-character-per-line limit.
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Re: Building a reverse caber-tosser

Postby Majestas32 » June 8th, 2018, 1:28 pm

> 70 characters per line

Huh, wut?
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Re: Building a reverse caber-tosser

Postby 77topaz » June 8th, 2018, 5:15 pm

Is there really one canonical line-length for RLEs? Because I've noticed that the line-length is different for RLEs from Catagolue compared to those from Golly, for example.
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Re: Building a reverse caber-tosser

Postby dvgrn » June 8th, 2018, 11:11 pm

77topaz wrote:Is there really one canonical line-length for RLEs? Because I've noticed that the line-length is different for RLEs from Catagolue compared to those from Golly, for example.

Catagolue makes very strange soup RLEs -- really more a form of ASCII format than real RLE, since there aren't any run lengths. The RLE definition on the LifeWiki mentions the 70-character maximum line lengths. The lines may be shorter, to avoid breaking a number in half or separating a number from a "b", "o", or "$".

Really pretty much every RLE reader in existence can handle longer lines as input, though.
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Re: Building a reverse caber-tosser

Postby Redstoneboi » June 9th, 2018, 4:12 pm

mostly useless and expensive eater1 pull/dFire reaction that we probably won’t use

x = 34, y = 19, rule = LifeHistory
E$.2E$2E$5.E$6.E5.C$4.3E6.2C$12.2C2$16.A15.A$17.A15.A$15.3A3.D9.3A$
19.3D$18.D$18.2D$31.D$16.2A13.DCA$15.A.A12.DADA$15.A15.A$14.2A14.2A!


this might be possible using semi snarks

x = 32, y = 33, rule = LifeHistory
7.D$8.2D$7.2D5$C$.2C$2C$11.A$12.A$10.3A6.C$20.2C$19.2C5$12.D$13.2D$
12.2D17.D$23.A5.3D$24.A3.D$22.3A3.2D5$23.2A$22.A.A$22.A$21.2A!


WHAT THE...
x = 61, y = 41, rule = LifeHistory
7.D$8.2D$7.2D5$C$.2C$2C$11.A$12.A$10.3A4$23.C27.D$24.2C26.2D$23.2C26.
2D5$16.D27.C$17.2D26.2C$16.2D17.D8.2C$27.A5.3D19.A$28.A3.D23.A$26.3A
3.2D20.3A4$26.2D26.D$25.D.CA25.DCA$25.DA.A24.DADA$24.2DA27.A$25.2A26.
2A$31.2C26.2A$30.C.C25.A.A$30.C27.A$29.2C26.2A!


The question is:
Does anyone know a cheap eater1 puffer glider synth that puffs eaters in the right orientation?
something like the one in infinite binary ruler generator?

The problem is:
it will take twice as many signals to pull this thing, plus how do you even get to both sides of the reaction?
Last edited by Redstoneboi on June 9th, 2018, 5:05 pm, edited 1 time in total.
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Re: Building a reverse caber-tosser

Postby blah » June 9th, 2018, 4:54 pm

When the synthesis of the crab-barge-stretcher thing was completed, I made this suggestion, and I'd probably make a similar suggestion here.
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Re: Building a reverse caber-tosser

Postby dvgrn » June 9th, 2018, 5:53 pm

blah wrote:When the synthesis of the crab-barge-stretcher thing was completed, I made this suggestion, and I'd probably make a similar suggestion here.

All kinds of announcements will be in the works as soon there's an official synthesis -- LifeWiki article, something on the ConwayLife home page, submissions to Hacker News or Reddit or Slashdot or whatever, and no doubt a Did You Know.

I don't quite trust the count until the continuous synthesis has been assembled -- it seems likely that there's a blocked lane or two in there somewhere that may need a kickback to complete correctly.
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Re: Building a reverse caber-tosser

Postby 77topaz » June 9th, 2018, 6:13 pm

Would it be possible to actually build the RLE for the synthesis of a very simple object (e.g. one that would normally take only two or three gliders) just to act as an example/proof of the method, or would even that get too large?
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Re: Building a reverse caber-tosser

Postby dvgrn » June 9th, 2018, 6:55 pm

77topaz wrote:Would it be possible to actually build the RLE for the synthesis of a very simple object (e.g. one that would normally take only two or three gliders) just to act as an example/proof of the method, or would even that get too large?

It's going to be pretty easy to show the universal-constructor mechanism in operation, just by building a SE-traveling glider salvo that simulates the glider pairs what will be coming back from the Cordership -- but doing it enormously faster, suppressing the outgoing glider pairs if necessary.

We can then calculate the position of the Cordership that would return the first N of those glider pairs, and see at what point Golly starts having trouble running the full pattern. I suspect it will be slow but doable for the first few gliders of a slow-salvo recipe for whatever the target is -- let's say a pulsar.

I think by the time the tenth glider of the output slow salvo is generated, we'll pretty definitely have exceeded some practical limit or other, but I'm not sure which one!

I tried putting together the continuous synthesis. Had no trouble with adding the second stage to the first, just one sub-synthesis where the timing had to be changed by 160 ticks I think.

But there are some problems with the third stage that I think might increase the glider count. There's a p8 bumper where the leftover beehive is slightly in the way of a glider for a future construction -- and the upper block of the blocker is just barely in the way also.

Maybe that can be fixed by changing the build order, I'm not sure yet. There are some other collisions when I rewind the third stage, but maybe they can be fixed just by adjusting the timing. Am going to stop working on it for a while, so I'll post the version of Stage 1 + Stage 2 + Stage 3 that I'm looking at right now:

x = 3137, y = 3440, rule = B3/S23
3076bo$3075bo$3075b3o6$3069bobo$3069b2o$3070bo$49bo$47bobo16bo$48b2o
17bo$58bo6b3o$59bo$50bo6b3o$51bo$49b3o22$100bo$101bo$99b3o7$3124bo$
3123bo$3118bo4b3o$3118bobo$3118b2o2$103bo$101bobo$102b2o2$3120bo$3120b
obo$3120b2o4$107bobo$108b2o$108bo3013bo$3122bobo$3122b2o5$20bo$21bo$
19b3o2$32bobo$33b2o$33bo4$3089bo$3089bobo$3089b2o$44bo$45b2o$44b2o2$
3093bo$3093bobo$3093b2o$3071bo$3070bo$3070b3o5$3091bo$64bo3024b2o12bob
o$65bo3024b2o11b2o$63b3o3038bo6$67bo$65bobo$66b2o5$73bobo$63bobo8b2o$
64b2o8bo$59bo4bo$59b2o$58bobo53$bo$2b2o$b2o$14bo$12bobo$13b2o6$10bobo$
obo8b2o$b2o8bo$bo146$3114bo$3114bobo$3114b2o4$3119bo$3118bo$3118b3o37$
3065bo$3063b2o$3064b2o$3072bo$3071bo$3071b3o3$3061bobo$3061b2o$14bo
3047bo$12bobo$13b2o10$3047bo$3046bo$3046b3o3$12bo$13b2o$12b2o3041bo$
3054bo$3054b3o8$3036bo$3036bobo$3036b2o2$3031bo$3031bobo$27bo3003b2o$
28b2o$27b2o3012bo$3040bo$3040b3o221$496bo$494bobo$495b2o27$442bobo$
443b2o$443bo$446bo$447b2o$446b2o5$462bobo$463b2o15bo17bo$463bo17bo14bo
bo$479b3o15b2o2042bobo$2541b2o$484bo2057bo12bo$482bobo2068b2o$483b2o
30bo2038b2o$516bo$514b3o$508bobo$509b2o19bo$473bo35bo21bo$474bo54b3o$
472b3o2$2543bo$2541b2o$2542b2o3$518bo2062bo$418bobo95bobo2056bobo2bo$
419b2o96b2o2056b2o3b3o$419bo2156bo2$436bo83bobo$434bobo84b2o$435b2o84b
o3$445bo$446bo$444b3o$519bo2046bo$520b2o2044bobo$519b2o2045b2o4$516bo$
517b2o$516b2o5$523bo$524bo$522b3o2$2596bobo$2580bo15b2o$2578b2o17bo$
2579b2o6bo$2586bo$2586b3o6bo$2594bo$2594b3o212$2714bo$2713bo$2713b3o6$
2716bo$2715bo$2715b3o12$680bobo$681b2o$681bo2$685bobo$686b2o$686bo
2017bo$683bo2020bobo$676bo7bo2019b2o$677b2o3b3o$676b2o2$2696bobo$2696b
2o$2697bo173$869bo$870bo$868b3o3$865bo$863bobo$864b2o3$2877bobo$2877b
2o$2878bo66$2009bo$2008bo$2008b3o6$2002bobo$2002b2o$2003bo$1182bo$
1180bobo16bo$1181b2o17bo$1191bo6b3o$1192bo$1183bo6b3o$1184bo$1182b3o
55$1265bobo$1266b2o$1266bo2$1261bo$1262b2o$1261b2o3$2102bo$2102bobo$
2102b2o3$1266bo$1267bo$1265b3o2$1271bo$1272bo$1270b3o$2093bobo$2093b2o
$1262bo831bo$1260bobo$1261b2o173$1796bobo$1796b2o$1797bo2$1802bo$1800b
2o$1801b2o3$961bo$959bobo$960b2o3$1797bo$1796bo$1796b3o2$1792bo$1791bo
$1791b3o$968bobo$969b2o$969bo831bo$1801bobo$1801b2o27$1850bo$1850bobo$
1038bo811b2o$1039b2o$1038b2o64$1166bo$1167bo$1165b3o4$1165bobo$1166b2o
889bobo$1166bo890b2o8bo$2058bo6b2o$2066b2o21$2020bo$1128bo891bobo$
1129bo890b2o$1127b3o108$1465bo$1463bobo$1464b2o2$1470bo$1468bobo$1469b
2o803bo$2272b2o$1460bo812b2o$1461bo$1459b3o68$2182bo$2181bo18bobo$
2181b3o16b2o$2201bo2$2190bo15bo$2190bobo11b2o$2190b2o13b2o3$2186bo$
2186bobo$2186b2o79$1380bo$1379bobo$1379bo$1378b2o122$1196b2o$1197b2o$
1196bo4$1186b3o$1188bo$1172b2o13bo$1171bobo$1173bo78$2101bo$2087b2o11b
2o$2086b2o12bobo$2088bo195$962bo$962b2o11b2o$961bobo12b2o$975bo169$
2057b3o$1165b2o890bo$1164bobo891bo$1166bo21$1119b2o$1120b2o6bo$1119bo
8b2o890bo$1127bobo889b2o$2019bobo4$2019b3o$2019bo$2020bo23$2267bo$
2266b2o$2266bobo93$1362bo$1362b2o$1361bobo5$2184b2o$2183b2o$2185bo5$
1362b2o$1363b2o$1362bo832b3o$2195bo$2196bo32$506b3o$508bo$507bo2$488bo
$488b2o12b3o$487bobo14bo$503bo2$492b2o17b2o$493b2o15bobo$492bo19bo2$
532bo$532b2o$531bobo7$2601b2o$2601bobo$477b2o2122bo$478b2o$477bo12$
480b2o$479bobo$481bo5$451b2o$450bobo14b2o6bo$452bo13bobo6b2o$468bo5bob
o5$452b2o$453b2o$452bo$2567b2o$2566b2o$2568bo12$2562b3o$2562bo$2563bo$
2566b2o$2566bobo$2566bo14b2o$2581bobo$2581bo4$2590b3o$2590bo$2591bo14b
o$2605b2o$2605bobo12$431b2o$430bobo$432bo6b2o$438bobo$440bo6bo$447b2o$
446bobo$428bo$428b2o$427bobo2$2551b3o$2551bo$2552bo5$2558b2o$2557b2o$
2559bo150$2711b2o$2710b2o$2712bo4$2714b2o$2714bobo$2714bo2$2723b3o$
2723bo$2724bo$2720b2o$2720bobo$2720bo12$63b2o$64b2o$63bo4$53b3o$55bo$
39b2o13bo$38bobo$40bo34$3127b2o$3126b2o$3128bo4$3134b2o$3134bobo$3134b
o19$3069bo$3068b2o$3068bobo3$82b2o$81bobo$83bo3013bo$3096b2o$3096bobo$
91b3o$93bo$92bo2$86b3o$88bo$87bo3$3105b2o$3105bobo$3105bo$69b3o$71bo$
70bo11b2o$83b2o$82bo2$87bo$87b2o$86bobo3$3101b2o$3101bobo$71bo3029bo$
71b2o$70bobo3$60b3o$62bo$61bo$68b2o$69b2o$68bo41$2875b3o$2875bo$2876bo
$6b3o$8bo$7bo4$11b2o$10bobo$12bo146$3125bo$3115bo8b2o$3114b2o8bobo$
3114bobo6$3112b2o$3112bobo$3112bo$3124b2o$3123b2o$3125bo58$3061bo$
3051bo8b2o$3050b2o8bobo$3050bobo3$3041b2o$3040b2o$3042bo2$18b2o$17bobo
$19bo3$34bo$34b2o3030b2o$33bobo3030bobo$3066bo3$14b2o$13bobo$15bo$
3068b3o$3068bo$3069bo!
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Re: Building a reverse caber-tosser

Postby Goldtiger997 » June 9th, 2018, 8:15 pm

dvgrn wrote:I tried putting together the continuous synthesis. Had no trouble with adding the second stage to the first, just one sub-synthesis where the timing had to be changed by 160 ticks I think.

But there are some problems with the third stage that I think might increase the glider count. There's a p8 bumper where the leftover beehive is slightly in the way of a glider for a future construction -- and the upper block of the blocker is just barely in the way also.

Maybe that can be fixed by changing the build order, I'm not sure yet. There are some other collisions when I rewind the third stage, but maybe they can be fixed just by adjusting the timing. Am going to stop working on it for a while, so I'll post the version of Stage 1 + Stage 2 + Stage 3 that I'm looking at right now:...


Yeah, sorry about those errors. There were so many gliders in each stage that I had basically resigned myself to the fact that there would be errors in the synthesis that would have to be fixed by kickbacks. Unfortunately, I was already doing the synthesis assembly independently of dvgrn.

I've done the first 4 stages (but I have to fix some minor issues before moving on to the final stage). So far I've used 2 extra kickbacks. I believe they are necessary but I'm not completely sure. It should become more clear to me once I've completed the synthesis...
Things to work on:
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Re: Building a reverse caber-tosser

Postby Goldtiger997 » June 10th, 2018, 1:15 am

Okay, here's a complete uncompressed continuous synthesis for the Universal Constructor (Cordership and BLSE not included):

Code: Select all
x = 4202, y = 4190, rule = B3/S23
o$b2o$2o233$48bo$46bobo$47b2o35$98bo$99bo$97b3o6$88bo$89b2o$88b2o15$
101bo$102b2o$101b2o$114bo$112bobo$113b2o6$110bobo$100bobo8b2o$101b2o8b
o$101bo295$3282bo$3281bo$3281b3o$671bo$672bo$670b3o14bo$688b2o$687b2o$
540bo$541b2o$540b2o2$688bobo2600bobo$689b2o2600b2o$548bo140bo2602bo$
549bo$547b3o11$555bobo$556b2o$556bo13$572bo$573b2o$572b2o2$584bobo$
585b2o$585bo16$588bobo$589b2o$589bo4$597bo$595bobo$596b2o23$677bo$678b
o$676b3o6$617bo$618b2o$617b2o32$661bo$662bo$660b3o2$674bo$672bobo$673b
2o138$3336bobo$3336b2o$3337bo4$3329bo$3329bobo$3329b2o38$699bo2193bo$
697bobo2192bo$698b2o2192b3o412bo$3305b2o$3306b2o4$2886bobo$2886b2o$
2887bo$1060bo$1058bobo16bo$1059b2o17bo$1069bo6b3o$1070bo$1061bo6b3o$
1062bo$1060b3o23$3267bobo$3267b2o$3258bobo7bo$3258b2o$645bo2613bo$643b
obo$644b2o2626bobo$3272b2o$3273bo13$666bo$667b2o$666b2o466bo$1135b2o$
1134b2o4$651bobo$652b2o$652bo$2918bo$2916b2o$2911bobo3b2o$2911b2o$661b
o2250bo$662b2o$661b2o473bobo$1137b2o$1137bo2$2913bobo$2913b2o$2914bo3$
1045bo97bo$1046bo97bo$1044b3o95b3o$2915bobo$1057bobo1855b2o$1058b2o
1856bo$1058bo4$2892bo$2892bobo$2892b2o$1069bo$1070b2o$1069b2o2$2896bob
o$2896b2o$2897bo$2875bo$2873b2o$2874b2o5$2893bo13bo$1088bo1804bobo10bo
$1089b2o1802b2o11b3o$1088b2o6$1090bobo$1091b2o$1091bo4$1099bo$1089bo
10bo$1090bo7b3o$1088b3o55$1025bo$1026b2o$1025b2o$1038bo$1036bobo$1037b
2o6$1034bobo$1024bobo8b2o$1025b2o8bo$1025bo36$3028bo$3028bobo$3028b2o
4$3033bo$3032bo$3032b3o38$2977bobo$2977b2o$2978bo$2985bo$2985bobo$
2985b2o2$2976bo$2974b2o$928bo2046b2o$929bo$927b3o11$2960bo$2960bobo$
2960b2o3$926bobo$927b2o$927bo2040bo$2968bobo$2968b2o12$2945bo$2944bo$
2944b3o2$2940bo$2939bo$2939b3o$946bobo$947b2o$947bo2001bo$2949bobo$
2949b2o16$1209bobo$1210b2o$1210bo13$2703bo$2702bo$2702b3o6$2696bobo$
2696b2o$2697bo$1316bo$1314bobo$1158bo156b2o$1159bo$1157b3o$2684bo$
1162bo1521bobo$1160bobo1521b2o$1161b2o$1307bo$1308b2o$1307b2o$1178bo$
1179bo$1177b3o14bo16bobo$1195b2o15b2o1441bo$1194b2o16bo1441bo$2654b3o$
1197bobo1467bo$1198b2o1467bobo$1198bo30bo1437b2o$1230b2o$1224bo4b2o$
1225bo$1223b3o18bo$1187bo57b2o$1188b2o54b2o$1187b2o2$2655bo$2655bobo$
2655b2o3$1134bo96bobo1455bo5bo$1135bo96b2o1454bo4b2o$1133b3o96bo1455b
3o3b2o2$1236bo$1149bobo85bo$1150b2o83b3o$1150bo3$1159bo$1160b2o$1159b
2o$1235bo1443bobo$1233bobo1443b2o$1234b2o1444bo4$1232bo$1230bobo$1231b
2o5$1237bo$1238b2o$1237b2o$2710bo$2709bo$2692bo16b3o$2692bobo$2692b2o
7bo$2699b2o$2700b2o7bo$2707b2o$2708b2o62$2618bo$2616b2o$2617b2o3$2621b
obo$2621b2o$2622bo2$968bo$969bo$967b3o4$2617bo$2617bobo$2617b2o2$2612b
o$2612bobo$976bo1635b2o$977b2o$976b2o1644bo$2621bo$2621b3o83$1573bo$
1574bo$1565bo6b3o$1566bo$1557bo6b3o$1558bo$1556b3o35$2829bo$2827b2o$
2828b2o6$2831bo$2829b2o$2830b2o11$1395bo$1396bo$1394b3o2$1400bo$1401bo
$1399b3o$2818bobo$1396bo1421b2o$1391bo5b2o1420bo$1389bobo4b2o$1390b2o$
2811bo$2810bo$2810b3o25$1679bobo$1680b2o$1680bo2$1675bo$1676b2o$1675b
2o3$2516bo$2516bobo$2516b2o3$1680bo$1681bo$1679b3o2$1685bo$1686bo$
1684b3o$2507bobo$2507b2o$1676bo831bo$1674bobo$1675b2o128$2345bo$2344bo
$2344b3o4$1404bo$1405bo$1403b3o$1379bo$1380bo$1378b3o4$1403bo1181bobo$
1382bo18bobo1181b2o$1380bobo19b2o1182bo$1381b2o$1392bobo$1393b2o$1393b
o212bobo$1607b2o$1607bo2$1602bo$1603b2o$1602b2o3$2967bo$2967bobo$2967b
2o11$1414bo$1412bobo$1413b2o5$1424bo$1425b2o1187bo4bobo$1424b2o1188bob
o2b2o$2614b2o4bo44$2264bo$2264bobo$1452bo811b2o$1453b2o$1452b2o104$
1620bo$1621bo$1619b3o4$1619bobo$1620b2o809bobo$1620bo810b2o8bo$2432bo
6b2o$2440b2o21$2394bo$1582bo811bobo$1583bo810b2o$1581b3o25$1590bo$
1591bo$1589b3o41$1879bo$1877bobo$1878b2o2$1884bo$1882bobo$1883b2o803bo
$2686b2o$1874bo812b2o$1875bo$1873b3o68$2597bo17bo$2595b2o17bo$2596b2o
16b3o3$2604bobo12bo$2604b2o13bobo$2605bo13b2o3$2600bobo$2600b2o$2601bo
174$1500b2o$1499bobo$1501bo813bo$2314b2o$2314bobo66$1570b2o$1571b2o$
1570bo4$1560b3o$1562bo$1561bo40$2515bo$2501b2o11b2o$2500b2o12bobo$
2502bo266$1074b2o$1075b2o$1074bo146b2o$1222b2o$1221bo2$1064b3o$1066bo
135b3o12b2o$1050b2o13bo138bo13b2o$1049bobo151bo13bo$1051bo$1207b2o17bo
$1206bobo17b2o$1208bo16bobo$1050b2o$1049bobo323b2o$1051bo194b3o127b2o
1345bo$1248bo126bo1346b2o$1247bo1474bobo2$2920b2o$1368b2o1550bobo$
1367bobo21bo1528bo$1369bo21b2o$1390bobo1322bo$2714b2o$1192b2o1520bobo
211bo$1191bobo1733b2o$1193bo1733bobo12$1195bo$1195b2o$1194bobo5$1166bo
$1166b2o14bo$1165bobo14b2o5b3o$1181bobo7bo$1190bo4$1167b2o$1166bobo$
1168bo$2680b2o189b3o$2680bobo188bo$2680bo191bo$2431b3o$1107bo511b2o
810bo$1107b2o509bobo811bo$1106bobo511bo$2899b3o$2899bo$1116b2o1782bo$
1117b2o$1116bo2$1111b2o$1112b2o1562b2o$1111bo1563b2o$2677bo$2680bo$
2679b2o228bo$2679bobo13bo212b2o$2694b2o212bobo$1094b2o1598bobo$1083b3o
9b2o$1085bo8bo12b2o$1084bo21bobo$1108bo1595b2o$2703b2o$1573b2o1130bo$
1111b3o460b2o6bo1135b3o$1113bo459bo8b2o810bo323bo$1112bo468bobo809b2o
324bo$2393bobo$2905bo$2904b2o$2904bobo$1095b3o1295b3o$1097bo1295bo$
1096bo1297bo2$1085b2o$1086b2o$1085bo60bo$1093b2o51b2o$1092bobo50bobo6b
o$1094bo59b2o$1153bobo$1161b3o$1163bo$1162bo$1142b3o$1144bo$1143bo$
1592bo1072b2o$1592b2o1070b2o$1591bobo1072bo5$2671b2o$2671bobo$2671bo
28$1030b3o$1032bo$1031bo4$1035b2o$1034bobo$1036bo3$2681bo$2680b2o$
2680bobo85$1396bo4b2o$1396b2o2bobo1184b2o$1395bobo4bo1183b2o$2588bo6$
1775b3o$1777bo$1776bo4$2598b2o$2598bobo$2598bo5$1776b2o$1775bobo$1777b
o832b2o$2609b2o214b2o$2611bo213bobo$2825bo3$1410b3o$1412bo1416bo$1411b
o1416b2o$2828bobo2$2838b2o$2837b2o$2839bo$2835bo$2834b2o$1426bo1186b2o
219bobo$1426b2o1185bobo$1425bobo1185bo7$2611b3o$2611bo$2612bo40$969b2o
12bo$970b2o11b2o$969bo12bobo73$3039bo$3029bo8b2o$3028b2o8bobo$3028bobo
6$3026b2o$3026bobo$3026bo$3038b2o$3037b2o$3039bo4$2966bo$2965b2o$2965b
obo35$671b2o$670bobo$672bo15$2974b2o$2964b2o7b2o$2963b2o10bo$2965bo2$
2955bo$672b2o2280b2o$673b2o2279bobo$672bo2$932b3o18b2o$934bo19b2o$933b
o19bo4$2979b3o$2979bo$2980bo3$928b3o$583bo346bo$583b2o344bo2052b2o$
582bobo2397bobo$2982bo21$551bo$551b2o46b2o$550bobo47b2o$599bo5$560b2o$
559bobo$561bo2660b2o$3221b2o$3223bo10$614b2o$613bobo$615bo4$607bo$607b
2o$606bobo156$3326b2o$3325b2o$3327bo7$735b2o$736b2o$735bo40$686b3o$
688bo$687bo$3251b2o$687bo2562b2o$687b2o2563bo$686bobo2$678b3o$680bo
2571b2o$679bo2572bobo$3241b3o8bo$3241bo$3242bo38$3283b2o$3263b2o18bobo
$3263bobo17bo$3263bo3$3276bo$3275b2o$3275bobo14$647b2o$646bobo$648bo
2621bo$3269b2o$3269bobo3$655bo$655b2o$654bobo2$648b2o$647bobo$649bo
2609bo$3258b2o24b3o$3258bobo23bo$3285bo2$666b2o$665bobo$667bo4$659b2o$
658bobo$660bo$648b3o$650bo$649bo$3251b3o$3251bo$3252bo5$663b3o$665bo$
664bo$3266b3o$3266bo$3267bo34$726b2o$727b2o$726bo2$3185b2o$3185bobo$
3185bo5$763b2o$762bobo$764bo7$758b2o$757bobo$759bo$743b2o$744b2o$743bo
2489b2o$3232b2o$3234bo8$740b3o$742bo$734b2o5bo$733bobo$735bo$3226bo$
3225b2o$3225bobo6$3231b3o125b2o$3231bo127bobo$3232bo126bo78$182b3o$
184bo$183bo11$3437b2o$3437bobo$3437bo49$118b3o$120bo$119bo3$93b2o$94b
2o$93bo$106b3o$108bo$107bo4$111b2o$110bobo$112bo$85b2o$84bobo$86bo4$
78bo$78b2o$77bobo8$44b2o$43bobo$45bo279$4200b2o$4199b2o$4201bo! [[ THEME 2 STEP 8 PAUSE 1 ZOOM 1 T 5000 ZOOM -3 ]]


It costs 316 gliders. (3 of the 7 extra gliders come from additional kickbacks, and the other 4 come from two eaters which I previously completely failed to notice and synthesize.) So all synthesisable patterns cost at most 316+4+9 = 331 gliders!

Could someone create a nice demonstration case so we can see the technology in action?...
Things to work on:
  • Work on the snowflakes orthogonoid
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Goldtiger997
 
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Re: Building a reverse caber-tosser

Postby calcyman » June 10th, 2018, 7:42 am

Impressive! I think it needs 5 gliders for the BLSE; I can't see any way to remove the kickback:

x = 4202, y = 4190, rule = B3/S23
o$b2o$2o233$48bo$46bobo$47b2o35$98bo$99bo$97b3o6$88bo$89b2o$88b2o15$
101bo$102b2o$101b2o$114bo$112bobo$113b2o6$110bobo$100bobo8b2o$101b2o8b
o$101bo295$3282bo$3281bo$3281b3o$671bo$672bo$670b3o14bo$688b2o$687b2o$
540bo$541b2o$540b2o2$688bobo2600bobo$689b2o2600b2o$548bo140bo2602bo$
549bo$547b3o11$555bobo$556b2o$556bo13$572bo$573b2o$572b2o2$584bobo$
585b2o$585bo16$588bobo$589b2o$589bo4$597bo$595bobo$596b2o23$677bo$678b
o$676b3o6$617bo$618b2o$617b2o32$661bo$662bo$660b3o2$674bo$672bobo$673b
2o138$3336bobo$3336b2o$3337bo4$3329bo$3329bobo$3329b2o38$699bo2193bo$
697bobo2192bo$698b2o2192b3o412bo$3305b2o$3306b2o4$2886bobo$2886b2o$
2887bo$1060bo$1058bobo16bo$1059b2o17bo$1069bo6b3o$1070bo$1061bo6b3o$
1062bo$1060b3o23$3267bobo$3267b2o$3258bobo7bo$3258b2o$645bo2613bo$643b
obo$644b2o2626bobo$3272b2o$3273bo13$666bo$667b2o$666b2o466bo$1135b2o$
1134b2o4$651bobo$652b2o$652bo$2918bo$2916b2o$2911bobo3b2o$2911b2o$661b
o2250bo$662b2o$661b2o473bobo$1137b2o$1137bo2$2913bobo$2913b2o$2914bo3$
1045bo97bo$1046bo97bo$1044b3o95b3o$2915bobo$1057bobo1855b2o$1058b2o
1856bo$1058bo4$2892bo$2892bobo$2892b2o$1069bo$1070b2o$1069b2o2$2896bob
o$2896b2o$2897bo$2875bo$2873b2o$2874b2o5$2893bo13bo$1088bo1804bobo10bo
$1089b2o1802b2o11b3o$1088b2o6$1090bobo$1091b2o$1091bo4$1099bo$1089bo
10bo$1090bo7b3o$1088b3o55$1025bo$1026b2o$1025b2o$1038bo$1036bobo$1037b
2o6$1034bobo$1024bobo8b2o$1025b2o8bo$1025bo36$3028bo$3028bobo$3028b2o
4$3033bo$3032bo$3032b3o38$2977bobo$2977b2o$2978bo$2985bo$2985bobo$
2985b2o2$2976bo$2974b2o$928bo2046b2o$929bo$927b3o11$2960bo$2960bobo$
2960b2o3$926bobo$927b2o$927bo2040bo$2968bobo$2968b2o12$2945bo$2944bo$
2944b3o2$2940bo$2939bo$2939b3o$946bobo$947b2o$947bo2001bo$2949bobo$
2949b2o16$1209bobo$1210b2o$1210bo13$2703bo$2702bo$2702b3o6$2696bobo$
2696b2o$2697bo$1316bo$1314bobo$1158bo156b2o$1159bo$1157b3o$2684bo$
1162bo1521bobo$1160bobo1521b2o$1161b2o$1307bo$1308b2o$1307b2o$1178bo$
1179bo$1177b3o14bo16bobo$1195b2o15b2o1441bo$1194b2o16bo1441bo$2654b3o$
1197bobo1467bo$1198b2o1467bobo$1198bo30bo1437b2o$1230b2o$1224bo4b2o$
1225bo$1223b3o18bo$1187bo57b2o$1188b2o54b2o$1187b2o2$2655bo$2655bobo$
2655b2o3$1134bo96bobo1455bo5bo$1135bo96b2o1454bo4b2o$1133b3o96bo1455b
3o3b2o2$1236bo$1149bobo85bo$1150b2o83b3o$1150bo3$1159bo$1160b2o$1159b
2o$1235bo1443bobo$1233bobo1443b2o$1234b2o1444bo4$1232bo$1230bobo$1231b
2o5$1237bo$1238b2o$1237b2o$2710bo$2709bo$2692bo16b3o$2692bobo$2692b2o
7bo$2699b2o$2700b2o7bo$2707b2o$2708b2o62$2618bo$2616b2o$2617b2o3$2621b
obo$2621b2o$2622bo2$968bo$969bo$967b3o4$2617bo$2617bobo$2617b2o2$2612b
o$2612bobo$976bo1635b2o$977b2o$976b2o1644bo$2621bo$2621b3o83$1573bo$
1574bo$1565bo6b3o$1566bo$1557bo6b3o$1558bo$1556b3o35$2829bo$2827b2o$
2828b2o6$2831bo$2829b2o$2830b2o11$1395bo$1396bo$1394b3o2$1400bo2216bo$
1401bo2214bo$1399b3o2214b3o$2818bobo$1396bo1421b2o$1391bo5b2o1420bo$
1389bobo4b2o$1390b2o$2811bo$2810bo$2810b3o25$1679bobo$1680b2o$1680bo2$
1675bo$1676b2o$1675b2o3$2516bo$2516bobo$2516b2o3$1680bo$1681bo$1679b3o
2$1685bo$1686bo$1684b3o$2507bobo$2507b2o$1676bo831bo$1674bobo$1675b2o
128$2345bo$2344bo$2344b3o4$1404bo$1405bo$1403b3o$1379bo$1380bo$1378b3o
4$1403bo1181bobo$1382bo18bobo1181b2o$1380bobo19b2o1182bo$1381b2o$1392b
obo$1393b2o$1393bo212bobo$1607b2o$1607bo2$1602bo$1603b2o$1602b2o3$
2967bo$2967bobo$2967b2o11$1414bo$1412bobo$1413b2o5$1424bo$1425b2o1187b
o4bobo$1424b2o1188bobo2b2o$2614b2o4bo44$2264bo$2264bobo$1452bo811b2o$
1453b2o$1452b2o104$1620bo$1621bo$1619b3o4$1619bobo$1620b2o809bobo$
1620bo810b2o8bo$2432bo6b2o$2440b2o21$2394bo$1582bo811bobo$1583bo810b2o
$1581b3o25$1590bo$1591bo$1589b3o41$1879bo$1877bobo$1878b2o2$1884bo$
1882bobo$1883b2o803bo$2686b2o$1874bo812b2o$1875bo$1873b3o68$2597bo17bo
$2595b2o17bo$2596b2o16b3o3$2604bobo12bo$2604b2o13bobo$2605bo13b2o3$
2600bobo$2600b2o$2601bo174$1500b2o$1499bobo$1501bo813bo$2314b2o$2314bo
bo66$1570b2o$1571b2o$1570bo4$1560b3o$1562bo$1561bo40$2515bo$2501b2o11b
2o$2500b2o12bobo$2502bo266$1074b2o$1075b2o$1074bo146b2o$1222b2o$1221bo
2$1064b3o$1066bo135b3o12b2o$1050b2o13bo138bo13b2o$1049bobo151bo13bo$
1051bo$1207b2o17bo$1206bobo17b2o$1208bo16bobo$1050b2o$1049bobo323b2o$
1051bo194b3o127b2o1345bo$1248bo126bo1346b2o$1247bo1474bobo2$2920b2o$
1368b2o1550bobo$1367bobo21bo1528bo$1369bo21b2o$1390bobo1322bo$2714b2o$
1192b2o1520bobo211bo$1191bobo1733b2o$1193bo1733bobo12$1195bo$1195b2o$
1194bobo5$1166bo$1166b2o14bo$1165bobo14b2o5b3o$1181bobo7bo$1190bo4$
1167b2o$1166bobo$1168bo$2680b2o189b3o$2680bobo188bo$2680bo191bo$2431b
3o$1107bo511b2o810bo$1107b2o509bobo811bo$1106bobo511bo$2899b3o$2899bo$
1116b2o1782bo$1117b2o$1116bo2$1111b2o$1112b2o1562b2o$1111bo1563b2o$
2677bo$2680bo$2679b2o228bo$2679bobo13bo212b2o$2694b2o212bobo$1094b2o
1598bobo$1083b3o9b2o$1085bo8bo12b2o$1084bo21bobo$1108bo1595b2o$2703b2o
$1573b2o1130bo$1111b3o460b2o6bo1135b3o$1113bo459bo8b2o810bo323bo$1112b
o468bobo809b2o324bo$2393bobo$2905bo$2904b2o$2904bobo$1095b3o1295b3o$
1097bo1295bo$1096bo1297bo2$1085b2o$1086b2o$1085bo60bo$1093b2o51b2o$
1092bobo50bobo6bo$1094bo59b2o$1153bobo$1161b3o$1163bo$1162bo$1142b3o$
1144bo$1143bo$1592bo1072b2o$1592b2o1070b2o$1591bobo1072bo5$2671b2o$
2671bobo$2671bo28$1030b3o$1032bo$1031bo4$1035b2o$1034bobo$1036bo3$
2681bo$2680b2o$2680bobo13$2195b2o$2195b2o71$1396bo4b2o$1396b2o2bobo
1184b2o$1395bobo4bo1183b2o$2588bo6$1775b3o$1777bo$1776bo4$2598b2o$
2598bobo$2598bo5$1776b2o$1775bobo$1777bo832b2o$2609b2o214b2o$2611bo
213bobo$2825bo3$1410b3o$1412bo1416bo$1411bo1416b2o$2828bobo2$2838b2o$
2837b2o$2839bo$2835bo$2834b2o$1426bo1186b2o219bobo$1426b2o1185bobo$
1425bobo1185bo7$2611b3o$2611bo$2612bo40$969b2o12bo$970b2o11b2o$969bo
12bobo73$3039bo$3029bo8b2o$3028b2o8bobo$3028bobo6$3026b2o$3026bobo$
3026bo$3038b2o$3037b2o$3039bo4$2966bo$2965b2o$2965bobo35$671b2o$670bob
o$672bo15$2974b2o$2964b2o7b2o$2963b2o10bo$2965bo2$2955bo$672b2o2280b2o
$673b2o2279bobo$672bo2$932b3o18b2o$934bo19b2o$933bo19bo4$2979b3o$2979b
o$2980bo3$928b3o$583bo346bo$583b2o344bo2052b2o$582bobo2397bobo$2982bo
21$551bo$551b2o46b2o$550bobo47b2o$599bo5$560b2o$559bobo$561bo2660b2o$
3221b2o$3223bo10$614b2o$613bobo$615bo4$607bo$607b2o$606bobo156$3326b2o
$3325b2o$3327bo7$735b2o$736b2o$735bo40$686b3o$688bo$687bo$3251b2o$687b
o2562b2o$687b2o2563bo$686bobo2$678b3o$680bo2571b2o$679bo2572bobo$3241b
3o8bo$3241bo$3242bo38$3283b2o$3263b2o18bobo$3263bobo17bo$3263bo3$3276b
o$3275b2o$3275bobo14$647b2o$646bobo$648bo2621bo$3269b2o$3269bobo3$655b
o$655b2o$654bobo2$648b2o$647bobo$649bo2609bo$3258b2o24b3o$3258bobo23bo
$3285bo2$666b2o$665bobo$667bo4$659b2o$658bobo$660bo$648b3o$650bo$649bo
$3251b3o$3251bo$3252bo5$663b3o$665bo$664bo$3266b3o$3266bo$3267bo25$
1534b2o$1535b2o$1534bo2$3591b2o$3591bobo$3591bo3$726b2o$727b2o$726bo2$
3185b2o$3185bobo$3185bo5$763b2o$762bobo$764bo7$758b2o$757bobo$759bo$
743b2o$744b2o$743bo2489b2o$3232b2o$3234bo385bo$3619b2o$3619bobo6$740b
3o$742bo$734b2o5bo$733bobo$735bo$3226bo$3225b2o$3225bobo6$3231b3o125b
2o$3231bo127bobo$3232bo126bo47$1464b2o$1463bobo$1465bo29$182b3o$184bo$
183bo11$3437b2o$3437bobo$3437bo49$118b3o$120bo$119bo3$93b2o$94b2o$93bo
$106b3o$108bo$107bo4$111b2o$110bobo$112bo$85b2o$84bobo$86bo4$78bo$78b
2o$77bobo8$44b2o$43bobo$45bo279$4200b2o$4199b2o$4201bo!


Fortunately, we don't need to separately construct an elbow. After using Dave's DFIRE to delete the first boat, there's a monochromatic* P1 salvo which turns the other boat into a block and gradually pushes it away from the critical zone:

x = 1355, y = 1814, rule = B3/S23
1352bo$1352bobo$1352b2o37$1303bo$1302bo$1302b3o12$1323bo$1322bo$1322b
3o4$1293bo$1292bo$1292b3o22$1269bo$1269bobo$1269b2o18$1283bo$1283bobo$
1283b2o8$1263bo$1263bobo$1263b2o7$1220bo$1219bo$1219b3o12$1240bo$1239b
o$1239b3o4$1210bo$1209bo$1209b3o22$1186bo$1186bobo$1186b2o18$1200bo$
1200bobo$1200b2o8$1180bo$1180bobo$1180b2o7$1137bo$1136bo$1136b3o12$
1157bo$1156bo$1156b3o4$1127bo$1126bo$1126b3o22$1103bo$1103bobo$1103b2o
18$1117bo$1117bobo$1117b2o8$1097bo$1097bobo$1097b2o7$1054bo$1053bo$
1053b3o12$1074bo$1073bo$1073b3o4$1044bo$1043bo$1043b3o22$1020bo$1020bo
bo$1020b2o18$1034bo$1034bobo$1034b2o8$1014bo$1014bobo$1014b2o7$971bo$
970bo$970b3o12$991bo$990bo$990b3o4$961bo$960bo$960b3o22$937bo$937bobo$
937b2o18$951bo$951bobo$951b2o8$931bo$931bobo$931b2o7$888bo$887bo$887b
3o12$908bo$907bo$907b3o4$878bo$877bo$877b3o22$854bo$854bobo$854b2o18$
868bo$868bobo$868b2o8$848bo$848bobo$848b2o7$805bo$804bo$804b3o12$825bo
$824bo$824b3o4$795bo$794bo$794b3o22$771bo$771bobo$771b2o18$785bo$785bo
bo$785b2o8$765bo$765bobo$765b2o7$722bo$721bo$721b3o12$742bo$741bo$741b
3o4$712bo$711bo$711b3o22$688bo$688bobo$688b2o18$702bo$702bobo$702b2o8$
682bo$682bobo$682b2o7$639bo$638bo$638b3o12$659bo$658bo$658b3o4$629bo$
628bo$628b3o22$605bo$605bobo$605b2o18$619bo$619bobo$619b2o8$599bo$599b
obo$599b2o7$556bo$555bo$555b3o12$576bo$575bo$575b3o4$546bo$545bo$545b
3o22$522bo$522bobo$522b2o18$536bo$536bobo$536b2o8$516bo$516bobo$516b2o
7$473bo$472bo$472b3o12$493bo$492bo$492b3o4$463bo$462bo$462b3o22$439bo$
439bobo$439b2o18$453bo$453bobo$453b2o8$433bo$433bobo$433b2o7$390bo$
389bo$389b3o12$410bo$409bo$409b3o4$380bo$379bo$379b3o22$356bo$356bobo$
356b2o18$370bo$370bobo$370b2o8$350bo$350bobo$350b2o7$307bo$306bo$306b
3o12$327bo$326bo$326b3o4$297bo$296bo$296b3o22$273bo$273bobo$273b2o18$
287bo$287bobo$287b2o8$267bo$267bobo$267b2o7$224bo$223bo$223b3o12$244bo
$243bo$243b3o4$214bo$213bo$213b3o22$190bo$190bobo$190b2o18$204bo$204bo
bo$204b2o8$184bo$184bobo$184b2o7$141bo$140bo$140b3o12$161bo$160bo$160b
3o4$131bo$130bo$130b3o22$107bo$107bobo$107b2o18$121bo$121bobo$121b2o8$
101bo$101bobo$101b2o7$58bo$57bo$57b3o12$78bo$77bo$77b3o4$48bo$47bo$47b
3o42$38bo$38bobo$38b2o13$11bo$11bobo$11b2o5$bo$obo$b2o6$36b2o$36b2o2$
30b2o$30b2o2$12b3o$26b2o$26b2o16b2o$44b2o3$16b2o$16b2o5$39b2o$39b2o3$
35b2o$35b2o$60b2o$60b2o2$54b2o$32b2o20b2o$32b2o2$50b2o$50b2o16b2o$68b
2o3$40b2o$40b2o5$63b2o$63b2o3$59b2o$59b2o$84b2o$84b2o2$78b2o$56b2o20b
2o$56b2o2$74b2o$74b2o16b2o$92b2o3$64b2o$64b2o5$87b2o$87b2o3$83b2o$83b
2o$108b2o$108b2o2$102b2o$80b2o20b2o$80b2o2$98b2o$98b2o16b2o$116b2o3$
88b2o$88b2o5$111b2o$111b2o3$107b2o$107b2o$132b2o$132b2o2$126b2o$104b2o
20b2o$104b2o2$122b2o$122b2o16b2o$140b2o3$112b2o$112b2o5$135b2o$135b2o
3$131b2o$131b2o$156b2o$156b2o2$150b2o$128b2o20b2o$128b2o2$146b2o$146b
2o16b2o$164b2o3$136b2o$136b2o5$159b2o$159b2o3$155b2o$155b2o$180b2o$
180b2o2$174b2o$152b2o20b2o$152b2o2$170b2o$170b2o16b2o$188b2o3$160b2o$
160b2o5$183b2o$183b2o3$179b2o$179b2o$204b2o$204b2o2$198b2o$176b2o20b2o
$176b2o2$194b2o$194b2o16b2o$212b2o3$184b2o$184b2o5$207b2o$207b2o3$203b
2o$203b2o$228b2o$228b2o2$222b2o$200b2o20b2o$200b2o2$218b2o$218b2o16b2o
$236b2o3$208b2o$208b2o5$231b2o$231b2o3$227b2o$227b2o$252b2o$252b2o2$
246b2o$224b2o20b2o$224b2o2$242b2o$242b2o16b2o$260b2o3$232b2o$232b2o5$
255b2o$255b2o3$251b2o$251b2o$276b2o$276b2o2$270b2o$248b2o20b2o$248b2o
2$266b2o$266b2o16b2o$284b2o3$256b2o$256b2o5$279b2o$279b2o3$275b2o$275b
2o$300b2o$300b2o2$294b2o$272b2o20b2o$272b2o2$290b2o$290b2o16b2o$308b2o
3$280b2o$280b2o5$303b2o$303b2o3$299b2o$299b2o$324b2o$324b2o2$318b2o$
296b2o20b2o$296b2o2$314b2o$314b2o16b2o$332b2o3$304b2o$304b2o5$327b2o$
327b2o3$323b2o$323b2o$348b2o$348b2o2$342b2o$320b2o20b2o$320b2o2$338b2o
$338b2o16b2o$356b2o3$328b2o$328b2o5$351b2o$351b2o3$347b2o$347b2o$372b
2o$372b2o2$366b2o$344b2o20b2o$344b2o2$362b2o$362b2o16b2o$380b2o3$352b
2o$352b2o5$375b2o$375b2o3$371b2o$371b2o$396b2o$396b2o2$390b2o$368b2o
20b2o$368b2o2$386b2o$386b2o16b2o$404b2o3$376b2o$376b2o5$399b2o$399b2o
3$395b2o$395b2o$420b2o$420b2o2$414b2o$392b2o20b2o$392b2o2$410b2o$410b
2o16b2o$428b2o3$400b2o$400b2o3$436b2o$436b2o$423b2o$423b2o3$419b2o15b
2o$419b2o15bobo$438b2o4b2o$437bo6b2o$435bobo$434b2o$416b2o18bo$416b2o
14bo$431b2o$430bo2bo$430b2o14bobo$431bobo11bo2bo$431b3o11bo2b2o$446b3o
b2o$424b2o22bo2bo$424b2o7bo$431b2o$447bo2bo$448bobo$449bo3$432b2o$432b
2o$447b2o$446b3o$447b2o$449bo$449bo$449bo!


* with the same glider colour as those emitted by the DFIREs.

We also can duplicate blocks with monophase monochromatic gliders, so the remaining task is to be able to move them around to assemble the four requisite OTTs. Then we inherit full universal construction capabilities from slmake.
What do you do with ill crystallographers? Take them to the mono-clinic!
User avatar
calcyman
 
Posts: 1733
Joined: June 1st, 2009, 4:32 pm

Re: Building a reverse caber-tosser

Postby calcyman » June 10th, 2018, 8:23 am

329 gliders in total:

x = 5379, y = 5173, rule = B3/S23
bo$2bo361bo$3o360bo$363b3o16$36bo$34bobo$35b2o$355bo$354bo$354b3o14$
29bo$30bo$28b3o2$335bo$335bobo$335b2o37$92bobo$93b2o$93bo2$356bo$72bo
283bobo$73b2o281b2o$72b2o2$337bo$336bo$336b3o891$1177bo$1178b2o$1177b
2o270$1275bo$1276bo$1274b3o6$1265bo$1266b2o$1265b2o15$1278bo$1279b2o$
1278b2o$1291bo$1289bobo$1290b2o6$1287bobo$1277bobo8b2o$1278b2o8bo$
1278bo295$4459bo$4458bo$4458b3o$1848bo$1849bo$1847b3o14bo$1865b2o$
1864b2o$1717bo$1718b2o$1717b2o2$1865bobo2600bobo$1866b2o2600b2o$1725bo
140bo2602bo$1726bo$1724b3o11$1732bobo$1733b2o$1733bo13$1749bo$1750b2o$
1749b2o2$1761bobo$1762b2o$1762bo16$1765bobo$1766b2o$1766bo4$1774bo$
1772bobo$1773b2o23$1854bo$1855bo$1853b3o6$1794bo$1795b2o$1794b2o32$
1838bo$1839bo$1837b3o2$1851bo$1849bobo$1850b2o138$4513bobo$4513b2o$
4514bo4$4506bo$4506bobo$4506b2o38$1876bo2193bo$1874bobo2192bo$1875b2o
2192b3o412bo$4482b2o$4483b2o4$4063bobo$4063b2o$4064bo$2237bo$2235bobo
16bo$2236b2o17bo$2246bo6b3o$2247bo$2238bo6b3o$2239bo$2237b3o23$4444bob
o$4444b2o$4435bobo7bo$4435b2o$1822bo2613bo$1820bobo$1821b2o2626bobo$
4449b2o$4450bo13$1843bo$1844b2o$1843b2o466bo$2312b2o$2311b2o4$1828bobo
$1829b2o$1829bo$4095bo$4093b2o$4088bobo3b2o$4088b2o$1838bo2250bo$1839b
2o$1838b2o473bobo$2314b2o$2314bo2$4090bobo$4090b2o$4091bo3$2222bo97bo$
2223bo97bo$2221b3o95b3o$4092bobo$2234bobo1855b2o$2235b2o1856bo$2235bo
4$4069bo$4069bobo$4069b2o$2246bo$2247b2o$2246b2o2$4073bobo$4073b2o$
4074bo$4052bo$4050b2o$4051b2o5$4070bo13bo$2265bo1804bobo10bo$2266b2o
1802b2o11b3o$2265b2o6$2267bobo$2268b2o$2268bo4$2276bo$2266bo10bo$2267b
o7b3o$2265b3o55$2202bo$2203b2o$2202b2o$2215bo$2213bobo$2214b2o6$2211bo
bo$2201bobo8b2o$2202b2o8bo$2202bo36$4205bo$4205bobo$4205b2o4$4210bo$
4209bo$4209b3o38$4154bobo$4154b2o$4155bo$4162bo$4162bobo$4162b2o2$
4153bo$4151b2o$2105bo2046b2o$2106bo$2104b3o11$4137bo$4137bobo$4137b2o
3$2103bobo$2104b2o$2104bo2040bo$4145bobo$4145b2o12$4122bo$4121bo$4121b
3o2$4117bo$4116bo$4116b3o$2123bobo$2124b2o$2124bo2001bo$4126bobo$4126b
2o16$2386bobo$2387b2o$2387bo13$3880bo$3879bo$3879b3o6$3873bobo$3873b2o
$3874bo$2493bo$2491bobo$2335bo156b2o$2336bo$2334b3o$3861bo$2339bo1521b
obo$2337bobo1521b2o$2338b2o$2484bo$2485b2o$2484b2o$2355bo$2356bo$2354b
3o14bo16bobo$2372b2o15b2o1441bo$2371b2o16bo1441bo$3831b3o$2374bobo
1467bo$2375b2o1467bobo$2375bo30bo1437b2o$2407b2o$2401bo4b2o$2402bo$
2400b3o18bo$2364bo57b2o$2365b2o54b2o$2364b2o2$3832bo$3832bobo$3832b2o
3$2311bo96bobo1455bo5bo$2312bo96b2o1454bo4b2o$2310b3o96bo1455b3o3b2o2$
2413bo$2326bobo85bo$2327b2o83b3o$2327bo3$2336bo$2337b2o$2336b2o$2412bo
1443bobo$2410bobo1443b2o$2411b2o1444bo4$2409bo$2407bobo$2408b2o5$2414b
o$2415b2o$2414b2o$3887bo$3886bo$3869bo16b3o$3869bobo$3869b2o7bo$3876b
2o$3877b2o7bo$3884b2o$3885b2o62$3795bo$3793b2o$3794b2o3$3798bobo$3798b
2o$3799bo2$2145bo$2146bo$2144b3o4$3794bo$3794bobo$3794b2o2$3789bo$
3789bobo$2153bo1635b2o$2154b2o$2153b2o1644bo$3798bo$3798b3o83$2750bo$
2751bo$2742bo6b3o$2743bo$2734bo6b3o$2735bo$2733b3o35$4006bo$4004b2o$
4005b2o6$4008bo$4006b2o$4007b2o11$2572bo$2573bo$2571b3o2$2577bo2216bo$
2578bo2214bo$2576b3o2214b3o$3995bobo$2573bo1421b2o$2568bo5b2o1420bo$
2566bobo4b2o$2567b2o$3988bo$3987bo$3987b3o25$2856bobo$2857b2o$2857bo2$
2852bo$2853b2o$2852b2o3$3693bo$3693bobo$3693b2o3$2857bo$2858bo$2856b3o
2$2862bo$2863bo$2861b3o$3684bobo$3684b2o$2853bo831bo$2851bobo$2852b2o
128$3522bo$3521bo$3521b3o4$2581bo$2582bo$2580b3o$2556bo$2557bo$2555b3o
4$2580bo1181bobo$2559bo18bobo1181b2o$2557bobo19b2o1182bo$2558b2o$2569b
obo$2570b2o$2570bo212bobo$2784b2o$2784bo2$2779bo$2780b2o$2779b2o3$
4144bo$4144bobo$4144b2o11$2591bo$2589bobo$2590b2o5$2601bo$2602b2o1187b
o4bobo$2601b2o1188bobo2b2o$3791b2o4bo44$3441bo$3441bobo$2629bo811b2o$
2630b2o$2629b2o104$2797bo$2798bo$2796b3o4$2796bobo$2797b2o809bobo$
2797bo810b2o8bo$3609bo6b2o$3617b2o21$3571bo$2759bo811bobo$2760bo810b2o
$2758b3o25$2767bo$2768bo$2766b3o41$3056bo$3054bobo$3055b2o2$3061bo$
3059bobo$3060b2o803bo$3863b2o$3051bo812b2o$3052bo$3050b3o68$3774bo17bo
$3772b2o17bo$3773b2o16b3o3$3781bobo12bo$3781b2o13bobo$3782bo13b2o3$
3777bobo$3777b2o$3778bo174$2677b2o$2676bobo$2678bo813bo$3491b2o$3491bo
bo66$2747b2o$2748b2o$2747bo4$2737b3o$2739bo$2738bo40$3692bo$3678b2o11b
2o$3677b2o12bobo$3679bo266$2251b2o$2252b2o$2251bo146b2o$2399b2o$2398bo
2$2241b3o$2243bo135b3o12b2o$2227b2o13bo138bo13b2o$2226bobo151bo13bo$
2228bo$2384b2o17bo$2383bobo17b2o$2385bo16bobo$2227b2o$2226bobo323b2o$
2228bo194b3o127b2o1345bo$2425bo126bo1346b2o$2424bo1474bobo2$4097b2o$
2545b2o1550bobo$2544bobo21bo1528bo$2546bo21b2o$2567bobo1322bo$3891b2o$
2369b2o1520bobo211bo$2368bobo1733b2o$2370bo1733bobo12$2372bo$2372b2o$
2371bobo5$2343bo$2343b2o14bo$2342bobo14b2o5b3o$2358bobo7bo$2367bo4$
2344b2o$2343bobo$2345bo$3857b2o189b3o$3857bobo188bo$3857bo191bo$3608b
3o$2284bo511b2o810bo$2284b2o509bobo811bo$2283bobo511bo$4076b3o$4076bo$
2293b2o1782bo$2294b2o$2293bo2$2288b2o$2289b2o1562b2o$2288bo1563b2o$
3854bo$3857bo$3856b2o228bo$3856bobo13bo212b2o$3871b2o212bobo$2271b2o
1598bobo$2260b3o9b2o$2262bo8bo12b2o$2261bo21bobo$2285bo1595b2o$3880b2o
$2750b2o1130bo$2288b3o460b2o6bo1135b3o$2290bo459bo8b2o810bo323bo$2289b
o468bobo809b2o324bo$3570bobo$4082bo$4081b2o$4081bobo$2272b3o1295b3o$
2274bo1295bo$2273bo1297bo2$2262b2o$2263b2o$2262bo60bo$2270b2o51b2o$
2269bobo50bobo6bo$2271bo59b2o$2330bobo$2338b3o$2340bo$2339bo$2319b3o$
2321bo$2320bo$2769bo1072b2o$2769b2o1070b2o$2768bobo1072bo5$3848b2o$
3848bobo$3848bo28$2207b3o$2209bo$2208bo4$2212b2o$2211bobo$2213bo3$
3858bo$3857b2o$3857bobo85$2573bo4b2o$2573b2o2bobo1184b2o$2572bobo4bo
1183b2o$3765bo6$2952b3o$2954bo$2953bo4$3775b2o$3775bobo$3775bo5$2953b
2o$2952bobo$2954bo832b2o$3786b2o214b2o$3788bo213bobo$4002bo3$2587b3o$
2589bo1416bo$2588bo1416b2o$4005bobo2$4015b2o$4014b2o$4016bo$4012bo$
4011b2o$2603bo1186b2o219bobo$2603b2o1185bobo$2602bobo1185bo7$3788b3o$
3788bo$3789bo40$2146b2o12bo$2147b2o11b2o$2146bo12bobo73$4216bo$4206bo
8b2o$4205b2o8bobo$4205bobo6$4203b2o$4203bobo$4203bo$4215b2o$4214b2o$
4216bo4$4143bo$4142b2o$4142bobo35$1848b2o$1847bobo$1849bo15$4151b2o$
4141b2o7b2o$4140b2o10bo$4142bo2$4132bo$1849b2o2280b2o$1850b2o2279bobo$
1849bo2$2109b3o18b2o$2111bo19b2o$2110bo19bo4$4156b3o$4156bo$4157bo3$
2105b3o$1760bo346bo$1760b2o344bo2052b2o$1759bobo2397bobo$4159bo21$
1728bo$1728b2o46b2o$1727bobo47b2o$1776bo5$1737b2o$1736bobo$1738bo2660b
2o$4398b2o$4400bo10$1791b2o$1790bobo$1792bo4$1784bo$1784b2o$1783bobo
156$4503b2o$4502b2o$4504bo7$1912b2o$1913b2o$1912bo40$1863b3o$1865bo$
1864bo$4428b2o$1864bo2562b2o$1864b2o2563bo$1863bobo2$1855b3o$1857bo
2571b2o$1856bo2572bobo$4418b3o8bo$4418bo$4419bo38$4460b2o$4440b2o18bob
o$4440bobo17bo$4440bo3$4453bo$4452b2o$4452bobo14$1824b2o$1823bobo$
1825bo2621bo$4446b2o$4446bobo3$1832bo$1832b2o$1831bobo2$1825b2o$1824bo
bo$1826bo2609bo$4435b2o24b3o$4435bobo23bo$4462bo2$1843b2o$1842bobo$
1844bo4$1836b2o$1835bobo$1837bo$1825b3o$1827bo$1826bo$4428b3o$4428bo$
4429bo5$1840b3o$1842bo$1841bo$4443b3o$4443bo$4444bo25$2711b2o$2712b2o$
2711bo2$4768b2o$4768bobo$4768bo3$1903b2o$1904b2o$1903bo2$4362b2o$4362b
obo$4362bo5$1940b2o$1939bobo$1941bo7$1935b2o$1934bobo$1936bo$1920b2o$
1921b2o$1920bo2489b2o$4409b2o$4411bo385bo$4796b2o$4796bobo6$1917b3o$
1919bo$1911b2o5bo$1910bobo$1912bo$4403bo$4402b2o$4402bobo6$4408b3o125b
2o$4408bo127bobo$4409bo126bo47$2641b2o$2640bobo$2642bo29$1359b3o$1361b
o$1360bo11$4614b2o$4614bobo$4614bo49$1295b3o$1297bo$1296bo3$1270b2o$
1271b2o$1270bo$1283b3o$1285bo$1284bo4$1288b2o$1287bobo$1289bo$1262b2o$
1261bobo$1263bo4$1255bo$1255b2o$1254bobo289$5377b2o$5376b2o$5378bo!
What do you do with ill crystallographers? Take them to the mono-clinic!
User avatar
calcyman
 
Posts: 1733
Joined: June 1st, 2009, 4:32 pm

Re: Building a reverse caber-tosser

Postby dvgrn » June 10th, 2018, 7:36 pm

EDIT: Fixed double post.
dvgrn wrote:
calcyman wrote:Impressive! I think it needs 5 gliders for the BLSE; I can't see any way to remove the kickback...[/code]
I think that's right. I checked both the BLSE and Cordership syntheses. Didn't see any way to cut the number of gliders in either location -- though I could certainly have missed something.

calcyman wrote:Fortunately, we don't need to separately construct an elbow. After using Dave's DFIRE to delete the first boat, there's a monochromatic* P1 salvo which turns the other boat into a block and gradually pushes it away from the critical zone.

I think there are more efficient monochromatic block pushes, but that's more of a job for a search utility. Is a block-move library already available, from the half-baked knightship project? I didn't do any of that part of the HBKs.

Using this elbow push method, we'd need close to 300 bits on the tape -- 294, I think -- just to make the elbow block and push it back the first 1fd. Each additional push would take more bits than that, but just doing this much already increases the size of the pattern by a factor of something over 10^88.

x = 5871, y = 5868, rule = LifeHistory
10.E$8.E.E$9.2E2$C$.2C5.C$2C7.C$7.3C13$30.D$28.D.D$29.2D2$20.C$21.2C
5.C$20.2C7.C$27.3C13$50.D$48.D.D$49.2D2$40.C$41.2C5.C$40.2C7.C$47.3C
13$70.D$68.D.D$69.2D2$60.C$61.2C5.C$60.2C7.C$67.3C13$90.D$88.D.D$89.
2D2$80.C$81.2C5.C$80.2C7.C$87.3C13$110.D$108.D.D$109.2D2$100.C$101.2C
5.C$100.2C7.C$107.3C13$130.D$128.D.D$129.2D2$120.C$121.2C5.C$120.2C7.
C$127.3C13$150.D$148.D.D$149.2D2$140.C$141.2C5.C$140.2C7.C$147.3C13$
170.D$168.D.D$169.2D2$160.C$161.2C5.C$160.2C7.C$167.3C13$190.D$188.D.
D$189.2D2$180.C$181.2C5.C$180.2C7.C$187.3C13$210.D$208.D.D$209.2D2$
200.C$201.2C5.C$200.2C7.C$207.3C13$230.D$228.D.D$229.2D2$220.C$221.2C
5.C$220.2C7.C$227.3C13$250.D$248.D.D$249.2D2$240.C$241.2C5.C$240.2C7.
C$247.3C13$270.D$268.D.D$269.2D2$260.C$261.2C5.C$260.2C7.C$267.3C13$
290.D$288.D.D$289.2D2$280.C$281.2C5.C$280.2C7.C$287.3C13$310.D$308.D.
D$309.2D2$300.C$301.2C5.C$300.2C7.C$307.3C13$330.D$328.D.D$329.2D2$
320.C$321.2C5.C$320.2C7.C$327.3C13$350.D$348.D.D$349.2D2$340.C$341.2C
5.C$340.2C7.C$347.3C13$370.D$368.D.D$369.2D2$360.C$361.2C5.C$360.2C7.
C$367.3C13$390.D$388.D.D$389.2D2$380.C$381.2C5.C$380.2C7.C$387.3C13$
410.D$408.D.D$409.2D2$400.C$401.2C5.C$400.2C7.C$407.3C13$430.D$428.D.
D$429.2D2$420.C$421.2C5.C$420.2C7.C$427.3C13$450.D$448.D.D$449.2D2$
440.C$441.2C5.C$440.2C7.C$447.3C13$470.D$468.D.D$469.2D2$460.C$461.2C
5.C$460.2C7.C$467.3C13$490.D$488.D.D$489.2D2$480.C$481.2C5.C$480.2C7.
C$487.3C13$510.D$508.D.D$509.2D2$500.C$501.2C5.C$500.2C7.C$507.3C13$
530.D$528.D.D$529.2D2$520.C$521.2C5.C$520.2C7.C$527.3C13$550.D$548.D.
D$549.2D2$540.C$541.2C5.C$540.2C7.C$547.3C13$570.D$568.D.D$569.2D2$
560.C$561.2C5.C$560.2C7.C$567.3C13$590.D$588.D.D$589.2D2$580.C$581.2C
5.C$580.2C7.C$587.3C13$610.D$608.D.D$609.2D2$600.C$601.2C5.C$600.2C7.
C$607.3C13$630.D$628.D.D$629.2D2$620.C$621.2C5.C$620.2C7.C$627.3C13$
650.D$648.D.D$649.2D2$640.C$641.2C5.C$640.2C7.C$647.3C13$670.D$668.D.
D$669.2D2$660.C$661.2C5.C$660.2C7.C$667.3C13$690.D$688.D.D$689.2D2$
680.C$681.2C5.C$680.2C7.C$687.3C13$710.D$708.D.D$709.2D2$700.C$701.2C
5.C$700.2C7.C$707.3C13$730.D$728.D.D$729.2D2$720.C$721.2C5.C$720.2C7.
C$727.3C13$750.D$748.D.D$749.2D2$740.C$741.2C5.C$740.2C7.C$747.3C13$
770.D$768.D.D$769.2D2$760.C$761.2C5.C$760.2C7.C$767.3C13$790.D$788.D.
D$789.2D2$780.C$781.2C5.C$780.2C7.C$787.3C13$810.D$808.D.D$809.2D2$
800.C$801.2C5.C$800.2C7.C$807.3C13$830.D$828.D.D$829.2D2$820.C$821.2C
5.C$820.2C7.C$827.3C13$850.D$848.D.D$849.2D2$840.C$841.2C5.C$840.2C7.
C$847.3C13$870.D$868.D.D$869.2D2$860.C$861.2C5.C$860.2C7.C$867.3C13$
890.D$888.D.D$889.2D2$880.C$881.2C5.C$880.2C7.C$887.3C13$910.D$908.D.
D$909.2D2$900.C$901.2C5.C$900.2C7.C$907.3C13$930.D$928.D.D$929.2D2$
920.C$921.2C5.C$920.2C7.C$927.3C13$950.D$948.D.D$949.2D2$940.C$941.2C
5.C$940.2C7.C$947.3C13$970.D$968.D.D$969.2D2$960.C$961.2C5.C$960.2C7.
C$967.3C13$990.D$988.D.D$989.2D2$980.C$981.2C5.C$980.2C7.C$987.3C13$
1010.D$1008.D.D$1009.2D2$1000.C$1001.2C5.C$1000.2C7.C$1007.3C13$1030.
D$1028.D.D$1029.2D2$1020.C$1021.2C5.C$1020.2C7.C$1027.3C13$1050.D$
1048.D.D$1049.2D2$1040.C$1041.2C5.C$1040.2C7.C$1047.3C13$1070.D$1068.
D.D$1069.2D2$1060.C$1061.2C5.C$1060.2C7.C$1067.3C13$1090.D$1088.D.D$
1089.2D2$1080.C$1081.2C5.C$1080.2C7.C$1087.3C13$1110.D$1108.D.D$1109.
2D2$1100.C$1101.2C5.C$1100.2C7.C$1107.3C13$1130.D$1128.D.D$1129.2D2$
1120.C$1121.2C5.C$1120.2C7.C$1127.3C13$1150.D$1148.D.D$1149.2D2$1140.
C$1141.2C5.C$1140.2C7.C$1147.3C13$1170.D$1168.D.D$1169.2D2$1160.C$
1161.2C5.C$1160.2C7.C$1167.3C13$1190.D$1188.D.D$1189.2D2$1180.C$1181.
2C5.C$1180.2C7.C$1187.3C13$1210.D$1208.D.D$1209.2D2$1200.C$1201.2C5.C
$1200.2C7.C$1207.3C13$1230.D$1228.D.D$1229.2D2$1220.C$1221.2C5.C$
1220.2C7.C$1227.3C13$1250.D$1248.D.D$1249.2D2$1240.C$1241.2C5.C$1240.
2C7.C$1247.3C13$1270.D$1268.D.D$1269.2D2$1260.C$1261.2C5.C$1260.2C7.C
$1267.3C13$1290.D$1288.D.D$1289.2D2$1280.C$1281.2C5.C$1280.2C7.C$
1287.3C13$1310.D$1308.D.D$1309.2D2$1300.C$1301.2C5.C$1300.2C7.C$1307.
3C13$1330.D$1328.D.D$1329.2D2$1320.C$1321.2C5.C$1320.2C7.C$1327.3C13$
1350.D$1348.D.D$1349.2D2$1340.C$1341.2C5.C$1340.2C7.C$1347.3C13$1370.
D$1368.D.D$1369.2D2$1360.C$1361.2C5.C$1360.2C7.C$1367.3C13$1390.D$
1388.D.D$1389.2D2$1380.C$1381.2C5.C$1380.2C7.C$1387.3C13$1410.D$1408.
D.D$1409.2D2$1400.C$1401.2C5.C$1400.2C7.C$1407.3C13$1430.D$1428.D.D$
1429.2D2$1420.C$1421.2C5.C$1420.2C7.C$1427.3C13$1450.D$1448.D.D$1449.
2D2$1440.C$1441.2C5.C$1440.2C7.C$1447.3C13$1470.D$1468.D.D$1469.2D2$
1460.C$1461.2C5.C$1460.2C7.C$1467.3C13$1490.D$1488.D.D$1489.2D2$1480.
C$1481.2C5.C$1480.2C7.C$1487.3C13$1510.D$1508.D.D$1509.2D2$1500.C$
1501.2C5.C$1500.2C7.C$1507.3C13$1530.D$1528.D.D$1529.2D2$1520.C$1521.
2C5.C$1520.2C7.C$1527.3C13$1550.D$1548.D.D$1549.2D2$1540.C$1541.2C5.C
$1540.2C7.C$1547.3C13$1570.D$1568.D.D$1569.2D2$1560.C$1561.2C5.C$
1560.2C7.C$1567.3C13$1590.D$1588.D.D$1589.2D2$1580.C$1581.2C5.C$1580.
2C7.C$1587.3C13$1610.D$1608.D.D$1609.2D2$1600.C$1601.2C5.C$1600.2C7.C
$1607.3C13$1630.D$1628.D.D$1629.2D2$1620.C$1621.2C5.C$1620.2C7.C$
1627.3C13$1650.D$1648.D.D$1649.2D2$1640.C$1641.2C5.C$1640.2C7.C$1647.
3C13$1670.E$1668.E.E$1669.2E2$1660.C$1661.2C5.C$1660.2C7.C$1667.3C13$
1690.D$1688.D.D$1689.2D2$1680.C$1681.2C5.C$1680.2C7.C$1687.3C13$1710.
D$1708.D.D$1709.2D2$1700.C$1701.2C5.C$1700.2C7.C$1707.3C13$1730.D$
1728.D.D$1729.2D2$1720.C$1721.2C5.C$1720.2C7.C$1727.3C13$1750.D$1748.
D.D$1749.2D2$1740.C$1741.2C5.C$1740.2C7.C$1747.3C13$1770.D$1768.D.D$
1769.2D2$1760.C$1761.2C5.C$1760.2C7.C$1767.3C13$1790.D$1788.D.D$1789.
2D2$1780.C$1781.2C5.C$1780.2C7.C$1787.3C13$1810.D$1808.D.D$1809.2D2$
1800.C$1801.2C5.C$1800.2C7.C$1807.3C13$1830.D$1828.D.D$1829.2D2$1820.
C$1821.2C5.C$1820.2C7.C$1827.3C13$1850.D$1848.D.D$1849.2D2$1840.C$
1841.2C5.C$1840.2C7.C$1847.3C13$1870.D$1868.D.D$1869.2D2$1860.C$1861.
2C5.C$1860.2C7.C$1867.3C13$1890.D$1888.D.D$1889.2D2$1880.C$1881.2C5.C
$1880.2C7.C$1887.3C13$1910.D$1908.D.D$1909.2D2$1900.C$1901.2C5.C$
1900.2C7.C$1907.3C13$1930.D$1928.D.D$1929.2D2$1920.C$1921.2C5.C$1920.
2C7.C$1927.3C13$1950.D$1948.D.D$1949.2D2$1940.C$1941.2C5.C$1940.2C7.C
$1947.3C13$1970.D$1968.D.D$1969.2D2$1960.C$1961.2C5.C$1960.2C7.C$
1967.3C13$1990.D$1988.D.D$1989.2D2$1980.C$1981.2C5.C$1980.2C7.C$1987.
3C13$2010.D$2008.D.D$2009.2D2$2000.C$2001.2C5.C$2000.2C7.C$2007.3C13$
2030.D$2028.D.D$2029.2D2$2020.C$2021.2C5.C$2020.2C7.C$2027.3C13$2050.
D$2048.D.D$2049.2D2$2040.C$2041.2C5.C$2040.2C7.C$2047.3C13$2070.D$
2068.D.D$2069.2D2$2060.C$2061.2C5.C$2060.2C7.C$2067.3C13$2090.D$2088.
D.D$2089.2D2$2080.C$2081.2C5.C$2080.2C7.C$2087.3C13$2110.D$2108.D.D$
2109.2D2$2100.C$2101.2C5.C$2100.2C7.C$2107.3C13$2130.D$2128.D.D$2129.
2D2$2120.C$2121.2C5.C$2120.2C7.C$2127.3C13$2150.D$2148.D.D$2149.2D2$
2140.C$2141.2C5.C$2140.2C7.C$2147.3C13$2170.D$2168.D.D$2169.2D2$2160.
C$2161.2C5.C$2160.2C7.C$2167.3C13$2190.D$2188.D.D$2189.2D2$2180.C$
2181.2C5.C$2180.2C7.C$2187.3C13$2210.D$2208.D.D$2209.2D2$2200.C$2201.
2C5.C$2200.2C7.C$2207.3C13$2230.D$2228.D.D$2229.2D2$2220.C$2221.2C5.C
$2220.2C7.C$2227.3C13$2250.D$2248.D.D$2249.2D2$2240.C$2241.2C5.C$
2240.2C7.C$2247.3C13$2270.D$2268.D.D$2269.2D2$2260.C$2261.2C5.C$2260.
2C7.C$2267.3C13$2290.D$2288.D.D$2289.2D2$2280.C$2281.2C5.C$2280.2C7.C
$2287.3C13$2310.D$2308.D.D$2309.2D2$2300.C$2301.2C5.C$2300.2C7.C$
2307.3C13$2330.D$2328.D.D$2329.2D2$2320.C$2321.2C5.C$2320.2C7.C$2327.
3C13$2350.D$2348.D.D$2349.2D2$2340.C$2341.2C5.C$2340.2C7.C$2347.3C13$
2370.D$2368.D.D$2369.2D2$2360.C$2361.2C5.C$2360.2C7.C$2367.3C13$2390.
D$2388.D.D$2389.2D2$2380.C$2381.2C5.C$2380.2C7.C$2387.3C13$2410.D$
2408.D.D$2409.2D2$2400.C$2401.2C5.C$2400.2C7.C$2407.3C13$2430.D$2428.
D.D$2429.2D2$2420.C$2421.2C5.C$2420.2C7.C$2427.3C13$2450.D$2448.D.D$
2449.2D2$2440.C$2441.2C5.C$2440.2C7.C$2447.3C13$2470.D$2468.D.D$2469.
2D2$2460.C$2461.2C5.C$2460.2C7.C$2467.3C13$2490.D$2488.D.D$2489.2D2$
2480.C$2481.2C5.C$2480.2C7.C$2487.3C13$2510.D$2508.D.D$2509.2D2$2500.
C$2501.2C5.C$2500.2C7.C$2507.3C13$2530.D$2528.D.D$2529.2D2$2520.C$
2521.2C5.C$2520.2C7.C$2527.3C13$2550.D$2548.D.D$2549.2D2$2540.C$2541.
2C5.C$2540.2C7.C$2547.3C13$2570.D$2568.D.D$2569.2D2$2560.C$2561.2C5.C
$2560.2C7.C$2567.3C13$2590.D$2588.D.D$2589.2D2$2580.C$2581.2C5.C$
2580.2C7.C$2587.3C13$2610.D$2608.D.D$2609.2D2$2600.C$2601.2C5.C$2600.
2C7.C$2607.3C13$2630.D$2628.D.D$2629.2D2$2620.C$2621.2C5.C$2620.2C7.C
$2627.3C13$2650.D$2648.D.D$2649.2D2$2640.C$2641.2C5.C$2640.2C7.C$
2647.3C13$2670.D$2668.D.D$2669.2D2$2660.C$2661.2C5.C$2660.2C7.C$2667.
3C13$2690.D$2688.D.D$2689.2D2$2680.C$2681.2C5.C$2680.2C7.C$2687.3C13$
2710.D$2708.D.D$2709.2D2$2700.C$2701.2C5.C$2700.2C7.C$2707.3C13$2730.
D$2728.D.D$2729.2D2$2720.C$2721.2C5.C$2720.2C7.C$2727.3C13$2750.D$
2748.D.D$2749.2D2$2740.C$2741.2C5.C$2740.2C7.C$2747.3C13$2770.D$2768.
D.D$2769.2D2$2760.C$2761.2C5.C$2760.2C7.C$2767.3C13$2790.D$2788.D.D$
2789.2D2$2780.C$2781.2C5.C$2780.2C7.C$2787.3C13$2810.D$2808.D.D$2809.
2D2$2800.C$2801.2C5.C$2800.2C7.C$2807.3C13$2830.D$2828.D.D$2829.2D2$
2820.C$2821.2C5.C$2820.2C7.C$2827.3C13$2850.D$2848.D.D$2849.2D2$2840.
C$2841.2C5.C$2840.2C7.C$2847.3C13$2870.D$2868.D.D$2869.2D2$2860.C$
2861.2C5.C$2860.2C7.C$2867.3C13$2890.D$2888.D.D$2889.2D2$2880.C$2881.
2C5.C$2880.2C7.C$2887.3C13$2910.D$2908.D.D$2909.2D2$2900.C$2901.2C5.C
$2900.2C7.C$2907.3C13$2930.D$2928.D.D$2929.2D2$2920.C$2921.2C5.C$
2920.2C7.C$2927.3C13$2950.D$2948.D.D$2949.2D2$2940.C$2941.2C5.C$2940.
2C7.C$2947.3C13$2970.D$2968.D.D$2969.2D2$2960.C$2961.2C5.C$2960.2C7.C
$2967.3C13$2990.D$2988.D.D$2989.2D2$2980.C$2981.2C5.C$2980.2C7.C$
2987.3C13$3010.D$3008.D.D$3009.2D2$3000.C$3001.2C5.C$3000.2C7.C$3007.
3C13$3030.D$3028.D.D$3029.2D2$3020.C$3021.2C5.C$3020.2C7.C$3027.3C13$
3050.D$3048.D.D$3049.2D2$3040.C$3041.2C5.C$3040.2C7.C$3047.3C13$3070.
D$3068.D.D$3069.2D2$3060.C$3061.2C5.C$3060.2C7.C$3067.3C13$3090.D$
3088.D.D$3089.2D2$3080.C$3081.2C5.C$3080.2C7.C$3087.3C13$3110.D$3108.
D.D$3109.2D2$3100.C$3101.2C5.C$3100.2C7.C$3107.3C13$3130.D$3128.D.D$
3129.2D2$3120.C$3121.2C5.C$3120.2C7.C$3127.3C13$3150.D$3148.D.D$3149.
2D2$3140.C$3141.2C5.C$3140.2C7.C$3147.3C13$3170.D$3168.D.D$3169.2D2$
3160.C$3161.2C5.C$3160.2C7.C$3167.3C13$3190.D$3188.D.D$3189.2D2$3180.
C$3181.2C5.C$3180.2C7.C$3187.3C13$3210.D$3208.D.D$3209.2D2$3200.C$
3201.2C5.C$3200.2C7.C$3207.3C13$3230.D$3228.D.D$3229.2D2$3220.C$3221.
2C5.C$3220.2C7.C$3227.3C13$3250.D$3248.D.D$3249.2D2$3240.C$3241.2C5.C
$3240.2C7.C$3247.3C13$3270.E$3268.E.E$3269.2E2$3260.C$3261.2C5.C$
3260.2C7.C$3267.3C13$3290.D$3288.D.D$3289.2D2$3280.C$3281.2C5.C$3280.
2C7.C$3287.3C13$3310.D$3308.D.D$3309.2D2$3300.C$3301.2C5.C$3300.2C7.C
$3307.3C13$3330.D$3328.D.D$3329.2D2$3320.C$3321.2C5.C$3320.2C7.C$
3327.3C13$3350.D$3348.D.D$3349.2D2$3340.C$3341.2C5.C$3340.2C7.C$3347.
3C13$3370.D$3368.D.D$3369.2D2$3360.C$3361.2C5.C$3360.2C7.C$3367.3C13$
3390.D$3388.D.D$3389.2D2$3380.C$3381.2C5.C$3380.2C7.C$3387.3C13$3410.
D$3408.D.D$3409.2D2$3400.C$3401.2C5.C$3400.2C7.C$3407.3C13$3430.D$
3428.D.D$3429.2D2$3420.C$3421.2C5.C$3420.2C7.C$3427.3C13$3450.D$3448.
D.D$3449.2D2$3440.C$3441.2C5.C$3440.2C7.C$3447.3C13$3470.D$3468.D.D$
3469.2D2$3460.C$3461.2C5.C$3460.2C7.C$3467.3C13$3490.D$3488.D.D$3489.
2D2$3480.C$3481.2C5.C$3480.2C7.C$3487.3C13$3510.D$3508.D.D$3509.2D2$
3500.C$3501.2C5.C$3500.2C7.C$3507.3C13$3530.D$3528.D.D$3529.2D2$3520.
C$3521.2C5.C$3520.2C7.C$3527.3C13$3550.D$3548.D.D$3549.2D2$3540.C$
3541.2C5.C$3540.2C7.C$3547.3C13$3570.D$3568.D.D$3569.2D2$3560.C$3561.
2C5.C$3560.2C7.C$3567.3C13$3590.D$3588.D.D$3589.2D2$3580.C$3581.2C5.C
$3580.2C7.C$3587.3C13$3610.D$3608.D.D$3609.2D2$3600.C$3601.2C5.C$
3600.2C7.C$3607.3C13$3630.D$3628.D.D$3629.2D2$3620.C$3621.2C5.C$3620.
2C7.C$3627.3C13$3650.D$3648.D.D$3649.2D2$3640.C$3641.2C5.C$3640.2C7.C
$3647.3C13$3670.D$3668.D.D$3669.2D2$3660.C$3661.2C5.C$3660.2C7.C$
3667.3C13$3690.D$3688.D.D$3689.2D2$3680.C$3681.2C5.C$3680.2C7.C$3687.
3C13$3710.D$3708.D.D$3709.2D2$3700.C$3701.2C5.C$3700.2C7.C$3707.3C13$
3730.D$3728.D.D$3729.2D2$3720.C$3721.2C5.C$3720.2C7.C$3727.3C13$3750.
D$3748.D.D$3749.2D2$3740.C$3741.2C5.C$3740.2C7.C$3747.3C13$3770.D$
3768.D.D$3769.2D2$3760.C$3761.2C5.C$3760.2C7.C$3767.3C13$3790.D$3788.
D.D$3789.2D2$3780.C$3781.2C5.C$3780.2C7.C$3787.3C13$3810.D$3808.D.D$
3809.2D2$3800.C$3801.2C5.C$3800.2C7.C$3807.3C13$3830.D$3828.D.D$3829.
2D2$3820.C$3821.2C5.C$3820.2C7.C$3827.3C13$3850.D$3848.D.D$3849.2D2$
3840.C$3841.2C5.C$3840.2C7.C$3847.3C13$3870.D$3868.D.D$3869.2D2$3860.
C$3861.2C5.C$3860.2C7.C$3867.3C13$3890.D$3888.D.D$3889.2D2$3880.C$
3881.2C5.C$3880.2C7.C$3887.3C13$3910.D$3908.D.D$3909.2D2$3900.C$3901.
2C5.C$3900.2C7.C$3907.3C13$3930.D$3928.D.D$3929.2D2$3920.C$3921.2C5.C
$3920.2C7.C$3927.3C13$3950.D$3948.D.D$3949.2D2$3940.C$3941.2C5.C$
3940.2C7.C$3947.3C13$3970.D$3968.D.D$3969.2D2$3960.C$3961.2C5.C$3960.
2C7.C$3967.3C13$3990.D$3988.D.D$3989.2D2$3980.C$3981.2C5.C$3980.2C7.C
$3987.3C13$4010.D$4008.D.D$4009.2D2$4000.C$4001.2C5.C$4000.2C7.C$
4007.3C13$4030.D$4028.D.D$4029.2D2$4020.C$4021.2C5.C$4020.2C7.C$4027.
3C13$4050.D$4048.D.D$4049.2D2$4040.C$4041.2C5.C$4040.2C7.C$4047.3C13$
4070.D$4068.D.D$4069.2D2$4060.C$4061.2C5.C$4060.2C7.C$4067.3C13$4090.
D$4088.D.D$4089.2D2$4080.C$4081.2C5.C$4080.2C7.C$4087.3C13$4110.D$
4108.D.D$4109.2D2$4100.C$4101.2C5.C$4100.2C7.C$4107.3C13$4130.D$4128.
D.D$4129.2D2$4120.C$4121.2C5.C$4120.2C7.C$4127.3C13$4150.D$4148.D.D$
4149.2D2$4140.C$4141.2C5.C$4140.2C7.C$4147.3C13$4170.D$4168.D.D$4169.
2D2$4160.C$4161.2C5.C$4160.2C7.C$4167.3C13$4190.D$4188.D.D$4189.2D2$
4180.C$4181.2C5.C$4180.2C7.C$4187.3C13$4210.D$4208.D.D$4209.2D2$4200.
C$4201.2C5.C$4200.2C7.C$4207.3C13$4230.D$4228.D.D$4229.2D2$4220.C$
4221.2C5.C$4220.2C7.C$4227.3C13$4250.D$4248.D.D$4249.2D2$4240.C$4241.
2C5.C$4240.2C7.C$4247.3C13$4270.D$4268.D.D$4269.2D2$4260.C$4261.2C5.C
$4260.2C7.C$4267.3C13$4290.D$4288.D.D$4289.2D2$4280.C$4281.2C5.C$
4280.2C7.C$4287.3C13$4310.D$4308.D.D$4309.2D2$4300.C$4301.2C5.C$4300.
2C7.C$4307.3C13$4330.D$4328.D.D$4329.2D2$4320.C$4321.2C5.C$4320.2C7.C
$4327.3C13$4350.D$4348.D.D$4349.2D2$4340.C$4341.2C5.C$4340.2C7.C$
4347.3C13$4370.D$4368.D.D$4369.2D2$4360.C$4361.2C5.C$4360.2C7.C$4367.
3C13$4390.D$4388.D.D$4389.2D2$4380.C$4381.2C5.C$4380.2C7.C$4387.3C13$
4410.D$4408.D.D$4409.2D2$4400.C$4401.2C5.C$4400.2C7.C$4407.3C13$4430.
D$4428.D.D$4429.2D2$4420.C$4421.2C5.C$4420.2C7.C$4427.3C13$4450.E$
4448.E.E$4449.2E2$4440.C$4441.2C5.C$4440.2C7.C$4447.3C13$4470.D$4468.
D.D$4469.2D2$4460.C$4461.2C5.C$4460.2C7.C$4467.3C13$4490.D$4488.D.D$
4489.2D2$4480.C$4481.2C5.C$4480.2C7.C$4487.3C13$4510.D$4508.D.D$4509.
2D2$4500.C$4501.2C5.C$4500.2C7.C$4507.3C13$4530.D$4528.D.D$4529.2D2$
4520.C$4521.2C5.C$4520.2C7.C$4527.3C13$4550.D$4548.D.D$4549.2D2$4540.
C$4541.2C5.C$4540.2C7.C$4547.3C13$4570.D$4568.D.D$4569.2D2$4560.C$
4561.2C5.C$4560.2C7.C$4567.3C13$4590.D$4588.D.D$4589.2D2$4580.C$4581.
2C5.C$4580.2C7.C$4587.3C13$4610.D$4608.D.D$4609.2D2$4600.C$4601.2C5.C
$4600.2C7.C$4607.3C13$4630.D$4628.D.D$4629.2D2$4620.C$4621.2C5.C$
4620.2C7.C$4627.3C13$4650.D$4648.D.D$4649.2D2$4640.C$4641.2C5.C$4640.
2C7.C$4647.3C13$4670.D$4668.D.D$4669.2D2$4660.C$4661.2C5.C$4660.2C7.C
$4667.3C13$4690.D$4688.D.D$4689.2D2$4680.C$4681.2C5.C$4680.2C7.C$
4687.3C13$4710.D$4708.D.D$4709.2D2$4700.C$4701.2C5.C$4700.2C7.C$4707.
3C13$4730.D$4728.D.D$4729.2D2$4720.C$4721.2C5.C$4720.2C7.C$4727.3C13$
4750.D$4748.D.D$4749.2D2$4740.C$4741.2C5.C$4740.2C7.C$4747.3C13$4770.
D$4768.D.D$4769.2D2$4760.C$4761.2C5.C$4760.2C7.C$4767.3C13$4790.D$
4788.D.D$4789.2D2$4780.C$4781.2C5.C$4780.2C7.C$4787.3C13$4810.D$4808.
D.D$4809.2D2$4800.C$4801.2C5.C$4800.2C7.C$4807.3C13$4830.D$4828.D.D$
4829.2D2$4820.C$4821.2C5.C$4820.2C7.C$4827.3C13$4850.D$4848.D.D$4849.
2D2$4840.C$4841.2C5.C$4840.2C7.C$4847.3C13$4870.D$4868.D.D$4869.2D2$
4860.C$4861.2C5.C$4860.2C7.C$4867.3C13$4890.D$4888.D.D$4889.2D2$4880.
C$4881.2C5.C$4880.2C7.C$4887.3C13$4910.D$4908.D.D$4909.2D2$4900.C$
4901.2C5.C$4900.2C7.C$4907.3C13$4930.D$4928.D.D$4929.2D2$4920.C$4921.
2C5.C$4920.2C7.C$4927.3C13$4950.D$4948.D.D$4949.2D2$4940.C$4941.2C5.C
$4940.2C7.C$4947.3C13$4970.D$4968.D.D$4969.2D2$4960.C$4961.2C5.C$
4960.2C7.C$4967.3C13$4990.D$4988.D.D$4989.2D2$4980.C$4981.2C5.C$4980.
2C7.C$4987.3C13$5010.D$5008.D.D$5009.2D2$5000.C$5001.2C5.C$5000.2C7.C
$5007.3C13$5030.D$5028.D.D$5029.2D2$5020.C$5021.2C5.C$5020.2C7.C$
5027.3C13$5050.D$5048.D.D$5049.2D2$5040.C$5041.2C5.C$5040.2C7.C$5047.
3C13$5070.D$5068.D.D$5069.2D2$5060.C$5061.2C5.C$5060.2C7.C$5067.3C13$
5090.D$5088.D.D$5089.2D2$5080.C$5081.2C5.C$5080.2C7.C$5087.3C13$5110.
D$5108.D.D$5109.2D2$5100.C$5101.2C5.C$5100.2C7.C$5107.3C13$5130.D$
5128.D.D$5129.2D2$5120.C$5121.2C5.C$5120.2C7.C$5127.3C13$5150.D$5148.
D.D$5149.2D2$5140.C$5141.2C5.C$5140.2C7.C$5147.3C13$5170.D$5168.D.D$
5169.2D2$5160.C$5161.2C5.C$5160.2C7.C$5167.3C13$5190.D$5188.D.D$5189.
2D2$5180.C$5181.2C5.C$5180.2C7.C$5187.3C13$5210.E$5208.E.E$5209.2E2$
5200.C$5201.2C5.C$5200.2C7.C$5207.3C13$5230.D$5228.D.D$5229.2D2$5220.
C$5221.2C5.C$5220.2C7.C$5227.3C13$5250.D$5248.D.D$5249.2D2$5240.C$
5241.2C5.C$5240.2C7.C$5247.3C13$5270.D$5268.D.D$5269.2D2$5260.C$5261.
2C5.C$5260.2C7.C$5267.3C13$5290.D$5288.D.D$5289.2D2$5280.C$5281.2C5.C
$5280.2C7.C$5287.3C13$5310.D$5308.D.D$5309.2D2$5300.C$5301.2C5.C$
5300.2C7.C$5307.3C13$5330.D$5328.D.D$5329.2D2$5320.C$5321.2C5.C$5320.
2C7.C$5327.3C13$5350.D$5348.D.D$5349.2D2$5340.C$5341.2C5.C$5340.2C7.C
$5347.3C13$5370.D$5368.D.D$5369.2D2$5360.C$5361.2C5.C$5360.2C7.C$
5367.3C13$5390.D$5388.D.D$5389.2D2$5380.C$5381.2C5.C$5380.2C7.C$5387.
3C13$5410.D$5408.D.D$5409.2D2$5400.C$5401.2C5.C$5400.2C7.C$5407.3C13$
5430.D$5428.D.D$5429.2D2$5420.C$5421.2C5.C$5420.2C7.C$5427.3C13$5450.
D$5448.D.D$5449.2D2$5440.C$5441.2C5.C$5440.2C7.C$5447.3C13$5470.D$
5468.D.D$5469.2D2$5460.C$5461.2C5.C$5460.2C7.C$5467.3C13$5490.D$5488.
D.D$5489.2D2$5480.C$5481.2C5.C$5480.2C7.C$5487.3C13$5510.D$5508.D.D$
5509.2D2$5500.C$5501.2C5.C$5500.2C7.C$5507.3C13$5530.D$5528.D.D$5529.
2D2$5520.C$5521.2C5.C$5520.2C7.C$5527.3C13$5550.D$5548.D.D$5549.2D2$
5540.C$5541.2C5.C$5540.2C7.C$5547.3C13$5570.E$5568.E.E$5569.2E2$5560.
C$5561.2C5.C$5560.2C7.C$5567.3C13$5590.D$5588.D.D$5589.2D2$5580.C$
5581.2C5.C$5580.2C7.C$5587.3C13$5610.D$5608.D.D$5609.2D2$5600.C$5601.
2C5.C$5600.2C7.C$5607.3C13$5630.D$5628.D.D$5629.2D2$5620.C$5621.2C5.C
$5620.2C7.C$5627.3C13$5650.D$5648.D.D$5649.2D2$5640.C$5641.2C5.C$
5640.2C7.C$5647.3C13$5670.D$5668.D.D$5669.2D2$5660.C$5661.2C5.C$5660.
2C7.C$5667.3C13$5690.D$5688.D.D$5689.2D2$5680.C$5681.2C5.C$5680.2C7.C
$5687.3C13$5710.D$5708.D.D$5709.2D2$5700.C$5701.2C5.C$5700.2C7.C$
5707.3C13$5730.D$5728.D.D$5729.2D2$5720.C$5721.2C5.C$5720.2C7.C$5727.
3C13$5750.D$5748.D.D$5749.2D2$5740.C$5741.2C5.C$5740.2C7.C$5747.3C13$
5770.D$5768.D.D$5769.2D2$5760.C$5761.2C5.C$5760.2C7.C$5767.3C13$5790.
D$5788.D.D$5789.2D2$5780.C$5781.2C5.C$5780.2C7.C$5787.3C13$5810.D$
5808.D.D$5809.2D2$5800.C$5801.2C5.C$5800.2C7.C$5807.3C13$5830.D$5828.
D.D$5829.2D2$5820.C$5821.2C5.C$5820.2C7.C$5827.3C13$5850.D$5848.D.D$
5849.2D2$5840.C$5841.2C5.C$5840.2C7.C$5847.3C13$5870.D$5868.D.D$5869.
2D2$5860.C$5861.2C5.C$5860.2C7.C$5867.3C!

Anyone want to try calculating the Cordership position that will return those bits in that order, and see how much trouble Golly has running the thing? In macrocell format the file size shouldn't be too bad yet -- or even in RLE, I guess, if you don't mind a bunch of numbers here and there with 90-plus digits. The RLE would end up a lot smaller if we rotated the whole synthesis pattern by 180 degrees, or reflected it across the Y axis.

294 bits needed to fire just half a dozen gliders -- ouch!

Maybe a better construction sample would be whatever the cleanest rare object is that can be built with less than ten monochrome-slow gliders. Seems like there ought to be a pulsar at about that cost, anyway. Can just build it close to the BLSE, there's probably no need to push the hand block away first.

Maybe one easy starting point would be to filter Paul Chapman's original P1 block-move table -- recipes here:

blockmov.png
2004 Glue block-move table for P1 bichromatic slow salvos
blockmov.png (86.15 KiB) Viewed 5272 times

Any of those recipes that happen to be all even lanes or all odd lanes can be used to move hand blocks around. Luckily the (2,1) block pull changes the color of a block. So it's mostly just a matter of finding the edgiest block move recipes, to place one-time-turner constellation blocks near each other.

I seem to recall that the 2-glider block splitter in the above recipe is actually pretty good for block placement. You just keep the hand block a short distance off to the side, and place new blocks by reaching around behind blocks that have already been placed. The loafer gun in Golly's HashLife folder uses that trick a lot.
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dvgrn
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Re: Building a reverse caber-tosser

Postby dvgrn » June 12th, 2018, 2:49 pm

Here's another piece of the puzzle. This should be a slightly better option than the old P1 block-move recipes. Looking back at old emails, I stumbled on a filtered list of P2 block-move recipes that use all monochrome monoparity gliders. This was from June 2014, the early days of HBK construction.

In standard slow-salvo recipe format, this restriction means that the parities are all "E", and the quarter-diagonal lane numbers are all 3 (mod 4). To interpret these recipes, copy a line and paste it into build-EO-lane-slow-salvo.py.

This allows blinkers, traffic lights, beacons, toads, and so on to be included as intermediate targets in the block-move recipes. I double-checked that all the numbers in the recipes below are in fact 4N+3 values, for integer N:

1m2  ,1  :E11
3m5  ,12 :E-9 E-29 E31
3m5  ,12 :E-9 E-29 E35
3m5  ,12 :E-9 E-29 E27
3m7  ,-8 :E-9 E-29 E-9
3m7  ,-8 :E-9 E-29 E-17
3m7  ,-8 :E-9 E-29 E-13
4m-3 ,1  :E-9 E-13 E-9 E-13
4m1  ,-2 :E-9 E-13 E-29 E-5
4m5  ,12 :E-9 E-29 E19 E23
4m5  ,12 :E-9 E-29 E19 E27
4m5  ,12 :E-9 E-29 E19 E31
4m6  ,14 :E-9 E-29 E-25 E27
4m6  ,14 :E-9 E-29 E-25 E31
4m6  ,14 :E-9 E-29 E-25 E35
4m7  ,-8 :E-9 E-29 E-25 E-21
4m7  ,-8 :E-9 E-29 E-25 E-17
4m7  ,-8 :E-9 E-29 E-25 E-13
4m8  ,-6 :E-9 E-29 E19 E-13
4m8  ,-6 :E-9 E-29 E19 E-17
4m8  ,-6 :E-9 E-29 E19 E-9
5m-8 ,7  :E-9 E7 E-21 E-5 E-29
5m-5 ,3  :E-9 E-13 E-9 E-21 E-21
5m-5 ,4  :E-9 E-13 E-13 E-29 E7
5m-2 ,10 :E-9 E7 E-21 E3 E-9
5m-1 ,4  :E-9 E-13 E-9 E-1 E-1
5m-1 ,9  :E-9 E7 E-17 E-25 E3
5m1  ,12 :E-9 E-1 E-1 E19 E23
5m4  ,0  :E-9 E7 E11 E-29 E7
5m5  ,12 :E-9 E-29 E19 E39 E31
5m5  ,12 :E-9 E-29 E39 E43 E27
5m5  ,12 :E-9 E-29 E19 E39 E35
5m5  ,12 :E-9 E-29 E19 E39 E27
5m7  ,-8 :E-9 E-29 E-5 E-1 E-17
5m7  ,-8 :E-9 E-29 E-25 E-5 E-13
5m7  ,-8 :E-9 E-29 E-25 E-5 E-9
5m7  ,-8 :E-9 E-29 E-25 E-5 E-17
5m8  ,15 :E-9 E-29 E-25 E-5 E27
5m8  ,15 :E-9 E-29 E-25 E-5 E35
5m8  ,15 :E-9 E-29 E-25 E-5 E31
5m10 ,-5 :E-9 E-29 E19 E39 E-13
5m10 ,-5 :E-9 E-29 E19 E39 E-9
5m10 ,-5 :E-9 E-29 E19 E39 E-17
6m-16,11 :E-9 E7 E-9 E-25 E-21 E-77
6m-16,11 :E-9 E7 E-9 E-25 E-21 E-81
6m-8 ,7  :E-9 E7 E-21 E-5 E-37 E-25
6m-6 ,7  :E-9 E7 E-17 E11 E-1 E19
6m-5 ,4  :E-9 E7 E7 E11 E-29 E19
6m-5 ,4  :E-9 E7 E7 E11 E-29 E15
6m-4 ,-10:E-9 E11 E11 E19 E7 E27
6m-4 ,-10:E-9 E11 E11 E19 E7 E35
6m-4 ,6  :E-9 E-13 E-13 E-29 E-29 E7
6m-3 ,11 :E-9 E7 E-17 E-33 E-33 E3
6m-2 ,-5 :E-9 E-13 E-13 E-1 E-13 E11
6m-2 ,0  :E-9 E-1 E-5 E7 E3 E-21
6m-2 ,0  :E-9 E-1 E-5 E7 E3 E-13
6m-1 ,-1 :E-9 E-29 E39 E59 E39 E-13
6m-1 ,-1 :E-9 E-29 E39 E59 E39 E-17
6m-1 ,-1 :E-9 E-29 E39 E59 E39 E-9
6m-1 ,8  :E-9 E7 E7 E-17 E3 E-57
6m-1 ,8  :E-9 E7 E7 E-17 E3 E-53
6m-1 ,8  :E-9 E7 E7 E-17 E3 E-49
6m-1 ,8  :E-9 E7 E7 E-17 E-49 E3
6m0  ,8  :E-9 E-13 E-17 E-5 E-37 E-41
6m0  ,8  :E-9 E7 E-5 E11 E7 E-33
6m0  ,11 :E-9 E7 E-21 E3 E-13 E-9
6m1  ,6  :E-9 E-13 E-17 E-21 E-41 E-9
6m1  ,6  :E-9 E-13 E-17 E-21 E-41 E-29
6m1  ,7  :E-9 E-13 E-13 E-9 E3 E11
6m1  ,7  :E-9 E-13 E-13 E-9 E3 E15
6m1  ,28 :E-9 E7 E7 E-17 E-5 E15
6m1  ,28 :E-9 E7 E7 E-17 E3 E-17
6m1  ,28 :E-9 E7 E7 E-17 E-13 E3
6m1  ,28 :E-9 E7 E7 E-17 E3 E-13
6m1  ,28 :E-9 E7 E7 E-17 E-5 E-5
6m1  ,28 :E-9 E7 E7 E-17 E3 E-21
6m4  ,9  :E-9 E7 E-5 E-17 E-1 E-25
6m4  ,9  :E-9 E7 E-5 E-17 E-1 E-33
6m4  ,9  :E-9 E7 E-17 E-29 E-25 E3
6m5  ,12 :E-9 E-29 E39 E27 E27 E35
6m5  ,12 :E-9 E-29 E39 E43 E39 E39
6m5  ,12 :E-9 E-29 E39 E43 E39 E35
6m5  ,12 :E-9 E-29 E39 E43 E31 E39
6m5  ,12 :E-9 E-29 E39 E27 E27 E55
6m5  ,12 :E-9 E-29 E39 E59 E39 E3
6m5  ,12 :E-9 E-29 E39 E59 E39 E-1
6m5  ,12 :E-9 E-29 E39 E59 E-1 E47
6m5  ,12 :E-9 E-29 E39 E59 E-1 E43
6m5  ,12 :E-9 E-29 E39 E23 E59 E31
6m5  ,12 :E-9 E-29 E39 E23 E59 E39
6m5  ,12 :E-9 E-29 E39 E59 E-1 E39
6m5  ,12 :E-9 E-29 E39 E43 E31 E59
6m6  ,14 :E-9 E-29 E39 E43 E-25 E27
6m7  ,-8 :E-9 E-29 E-5 E-21 E15 E-5
6m7  ,-8 :E-9 E-29 E-5 E-1 E-13 E-5
6m7  ,-8 :E-9 E-29 E-5 E-17 E-17 E-9
6m7  ,-8 :E-9 E-29 E-5 E-1 E-5 E-5
6m7  ,-8 :E-9 E-29 E-5 E-17 E-17 E11
6m7  ,-8 :E-9 E-29 E-5 E-21 E15 E-13
6m7  ,-8 :E-9 E-29 E-5 E-1 E-13 E15
6m7  ,-8 :E-9 E-29 E-5 E-1 E-5 E-9
6m8  ,-6 :E-9 E-29 E-5 E-1 E19 E-17
6m8  ,4  :E-9 E-1 E-17 E3 E-9 E-21
6m8  ,4  :E-9 E-1 E-17 E3 E-9 E-13
6m11 ,3  :E-9 E7 E-17 E11 E-9 E3
6m14 ,-16:E-9 E7 E-5 E-9 E-9 E59
6m19 ,-3 :E-9 E-29 E39 E59 E-1 E-9
6m19 ,-3 :E-9 E-29 E39 E59 E-1 E-17
6m19 ,-3 :E-9 E-29 E39 E59 E-1 E-13
6m24 ,2  :E-9 E11 E11 E23 E-21 E-1
7m-25,13 :E-9 E-13 E-17 E-33 E-17 E-37 E7
7m-25,13 :E-9 E-13 E-17 E-33 E-17 E-21 E11
7m-25,13 :E-9 E-13 E-17 E-33 E-17 E-9 E15
7m-25,13 :E-9 E-13 E-17 E-33 E-17 E-37 E-13
7m-25,13 :E-9 E-13 E-17 E-33 E-17 E-9 E-1
7m-25,13 :E-9 E-13 E-17 E-33 E-17 E3 E-25
7m-25,13 :E-9 E-13 E-17 E-33 E-17 E3 E-29
7m-18,6  :E-9 E7 E-9 E-57 E-53 E-25 E-49
7m-18,6  :E-9 E7 E-9 E-57 E-53 E-25 E-57
7m-16,11 :E-9 E7 E-9 E-25 E-21 E-89 E-93
7m-12,9  :E-9 E7 E-5 E11 E3 E-53 E11
7m-12,16 :E-9 E-1 E-17 E-9 E19 E7 E-29
7m-11,4  :E-9 E7 E-9 E-37 E-41 E-53 E-33
7m-11,4  :E-9 E7 E-9 E-57 E-53 E-45 E-57
7m-11,4  :E-9 E7 E-9 E-57 E-53 E-45 E-49
7m-10,16 :E-9 E7 E-17 E-29 E-41 E-45 E3
7m-9 ,9  :E-9 E7 E-17 E-29 E-41 E-45 E-21
7m-8 ,0  :E-9 E-13 E-13 E-29 E-29 E-9 E-17
7m-8 ,0  :E-9 E-13 E-13 E-29 E-29 E-9 E-21
7m-8 ,0  :E-9 E-13 E-13 E-29 E-29 E-9 E-25
7m-8 ,3  :E-9 E11 E11 E23 E39 E11 E39
7m-8 ,3  :E-9 E11 E11 E23 E39 E11 E47
7m-8 ,3  :E-9 E11 E11 E23 E39 E11 E35
7m-8 ,4  :E-9 E-1 E-17 E11 E-25 E-37 E27
7m-8 ,4  :E-9 E-1 E-17 E11 E-25 E-37 E23
7m-8 ,12 :E-9 E7 E-5 E3 E23 E3 E11
7m-8 ,12 :E-9 E7 E-5 E3 E23 E3 E15
7m-8 ,12 :E-9 E7 E-5 E3 E23 E3 E19
7m-8 ,17 :E-9 E-1 E-1 E19 E19 E-17 E-25
7m-8 ,17 :E-9 E-1 E-1 E19 E19 E-17 E-29
7m-6 ,-8 :E-9 E11 E11 E19 E-1 E-1 E35
7m-6 ,-8 :E-9 E11 E11 E19 E-1 E-1 E27
7m-6 ,-5 :E-9 E7 E-5 E-29 E-9 E-1 E-17
7m-6 ,-5 :E-9 E7 E-5 E-29 E-9 E-29 E-13
7m-6 ,9  :E-9 E11 E11 E-29 E-29 E-17 E3
7m-6 ,11 :E-9 E11 E11 E-29 E-29 E3 E7
7m-5 ,4  :E-9 E-13 E-13 E-1 E-1 E-29 E-5
7m-5 ,4  :E-9 E7 E7 E11 E-29 E11 E11
7m-5 ,4  :E-9 E7 E7 E11 E-29 E11 E15
7m-5 ,4  :E-9 E7 E7 E11 E-29 E3 E15
7m-5 ,4  :E-9 E7 E7 E11 E-29 E11 E19
7m-5 ,4  :E-9 E7 E7 E11 E-29 E23 E15
7m-5 ,4  :E-9 E7 E7 E11 E-29 E23 E19
7m-5 ,4  :E-9 E7 E7 E11 E-29 E23 E3
7m-5 ,7  :E-9 E11 E11 E3 E-5 E-21 E19
7m-5 ,11 :E-9 E-13 E-17 E-33 E-17 E-81 E7
7m-5 ,11 :E-9 E-13 E-17 E-33 E-17 E-81 E-13
7m-4 ,-10:E-9 E11 E11 E19 E7 E23 E23
7m-4 ,-10:E-9 E11 E11 E19 E31 E7 E19
7m-4 ,-10:E-9 E11 E11 E19 E31 E7 E23
7m-4 ,-10:E-9 E11 E11 E19 E31 E7 E15
7m-4 ,6  :E-9 E7 E7 E11 E-29 E-29 E15
7m-4 ,6  :E-9 E7 E7 E11 E-29 E-29 E19
7m-4 ,7  :E-9 E-13 E-17 E-5 E-5 E-33 E-29
7m-4 ,7  :E-9 E-13 E-17 E-5 E-5 E-33 E-49
7m-4 ,10 :E-9 E11 E11 E-1 E27 E-33 E-9
7m-3 ,-9 :E-9 E-13 E-13 E-29 E-29 E-13 E-13
7m-3 ,5  :E-9 E7 E-21 E-13 E-1 E-9 E-1
7m-3 ,5  :E-9 E7 E-21 E-13 E-1 E-9 E11
7m-3 ,16 :E-9 E-9 E19 E-1 E-1 E7 E39
7m-3 ,16 :E-9 E-9 E19 E-1 E-1 E7 E19
7m-2 ,5  :E-9 E-13 E-13 E-1 E-1 E-29 E-9
7m-2 ,10 :E-9 E7 E-21 E11 E19 E-5 E11
7m-2 ,12 :E-9 E-9 E-5 E-17 E-25 E-5 E15
7m-2 ,17 :E-9 E-1 E15 E-5 E-5 E35 E-21
7m-2 ,17 :E-9 E-1 E15 E-5 E-5 E-21 E35
7m-1 ,-1 :E-9 E-29 E39 E59 E39 E-25 E-13
7m-1 ,-1 :E-9 E-29 E39 E59 E39 E-25 E-17
7m-1 ,-1 :E-9 E-29 E39 E59 E39 E-25 E-21
7m-1 ,1  :E-9 E7 E-17 E-25 E11 E3 E-9
7m-1 ,1  :E-9 E7 E-17 E-25 E11 E3 E-29
7m-1 ,4  :E-9 E7 E-21 E-21 E11 E-29 E7
7m-1 ,5  :E-9 E7 E-5 E11 E3 E-5 E-49
7m-1 ,5  :E-9 E7 E-5 E11 E3 E-5 E-57
7m-1 ,8  :E-9 E7 E7 E-17 E-65 E3 E-53
7m-1 ,8  :E-9 E7 E7 E-17 E-65 E3 E-57
7m-1 ,8  :E-9 E7 E7 E-17 E-65 E3 E-61
7m-1 ,12 :E-9 E7 E-17 E11 E7 E-1 E11
7m-1 ,12 :E-9 E7 E-17 E11 E7 E-1 E19
7m-1 ,28 :E-9 E11 E11 E-1 E27 E-29 E-41
7m0  ,-10:E-9 E7 E-17 E-29 E-25 E23 E-5
7m0  ,-10:E-9 E7 E-17 E-29 E-25 E23 E-9
7m0  ,-10:E-9 E7 E-17 E-29 E-25 E23 E-13
7m0  ,19 :E-9 E-1 E15 E-5 E-29 E35 E-13
7m0  ,19 :E-9 E-1 E15 E-5 E-29 E35 E-9
7m0  ,19 :E-9 E-1 E15 E-5 E-29 E-9 E35
7m1  ,-2 :E-9 E7 E7 E-13 E-29 E-5 E27
7m1  ,0  :E-9 E-29 E39 E59 E39 E11 E-9
7m1  ,0  :E-9 E-29 E39 E59 E39 E11 E-17
7m1  ,0  :E-9 E-29 E39 E59 E39 E11 E-13
7m1  ,0  :E-9 E7 E11 E7 E11 E-5 E-29
7m1  ,0  :E-9 E-13 E-13 E-9 E15 E-1 E-17
7m1  ,7  :E-9 E-13 E-13 E-9 E3 E3 E-1
7m1  ,7  :E-9 E-13 E-13 E-9 E3 E19 E15
7m1  ,7  :E-9 E-13 E-13 E-9 E3 E19 E11
7m1  ,7  :E-9 E-13 E-13 E-9 E3 E19 E-1
7m1  ,12 :E-9 E-1 E-1 E19 E27 E-5 E31
7m1  ,28 :E-9 E7 E7 E-17 E11 E-5 E27
7m1  ,28 :E-9 E7 E7 E-17 E-13 E-9 E-5
7m1  ,28 :E-9 E7 E7 E-17 E-13 E-9 E-9
7m1  ,28 :E-9 E7 E7 E-17 E11 E-5 E31
7m1  ,28 :E-9 E7 E7 E-17 E11 E-5 E35
7m2  ,-14:E-9 E7 E7 E-17 E11 E-5 E-53
7m2  ,-14:E-9 E7 E7 E-17 E11 E-5 E-57
7m2  ,-14:E-9 E7 E7 E-17 E11 E-5 E-49
7m2  ,-14:E-9 E7 E-17 E11 E-5 E-33 E-13
7m2  ,8  :E-9 E-1 E15 E-5 E-17 E35 E-33
7m2  ,8  :E-9 E-1 E15 E-5 E-17 E35 E-37
7m2  ,8  :E-9 E-1 E15 E-5 E-17 E35 E-49
7m2  ,12 :E-9 E-9 E-5 E-17 E-25 E-21 E15
7m2  ,30 :E-9 E7 E7 E-17 E-65 E3 E-13
7m2  ,30 :E-9 E7 E7 E-17 E-65 E-13 E3
7m2  ,30 :E-9 E7 E7 E-17 E-65 E-5 E-5
7m2  ,30 :E-9 E7 E7 E-17 E-65 E3 E-21
7m2  ,30 :E-9 E7 E7 E-17 E-65 E-5 E15
7m2  ,30 :E-9 E7 E7 E-17 E-65 E3 E-17
7m3  ,-2 :E-9 E-13 E-13 E-9 E-9 E-9 E-13
7m3  ,-2 :E-9 E-13 E-13 E-9 E-9 E-9 E-17
7m3  ,8  :E-9 E-9 E-5 E-17 E-25 E-25 E15
7m3  ,9  :E-9 E-13 E-17 E-21 E-5 E-41 E7
7m4  ,0  :E-9 E7 E-5 E11 E7 E-29 E-25
7m4  ,0  :E-9 E7 E-5 E11 E7 E-29 E-13
7m4  ,9  :E-9 E7 E-17 E-29 E-25 E15 E11
7m4  ,9  :E-9 E7 E-17 E-29 E-25 E11 E19
7m4  ,9  :E-9 E7 E-17 E-29 E-25 E23 E15
7m4  ,9  :E-9 E7 E-17 E-29 E-25 E11 E11
7m4  ,9  :E-9 E7 E-17 E-29 E-25 E23 E19
7m4  ,9  :E-9 E7 E-17 E-29 E-25 E23 E23
7m4  ,14 :E-9 E7 E-5 E-17 E11 E3 E-5
7m5  ,-2 :E-9 E11 E11 E-1 E19 E-53 E-49
7m5  ,11 :E-9 E7 E-17 E-29 E-25 E-21 E3
7m5  ,12 :E-9 E-29 E39 E43 E47 E71 E59
7m5  ,12 :E-9 E-29 E39 E43 E47 E71 E63
7m5  ,12 :E-9 E-29 E19 E39 E39 E43 E27
7m5  ,12 :E-9 E-29 E39 E43 E19 E19 E35
7m5  ,12 :E-9 E-29 E39 E43 E47 E35 E63
7m5  ,12 :E-9 E-29 E39 E43 E43 E23 E63
7m5  ,12 :E-9 E-29 E39 E23 E35 E55 E63
7m5  ,12 :E-9 E-29 E19 E19 E-1 E19 E63
7m5  ,12 :E-9 E-29 E39 E59 E39 E11 E3
7m5  ,12 :E-9 E-29 E39 E59 E39 E11 E-1
7m5  ,12 :E-9 E-29 E39 E59 E55 E-1 E51
7m5  ,12 :E-9 E-29 E39 E59 E55 E-1 E47
7m5  ,12 :E-9 E-29 E39 E59 E55 E-1 E43
7m5  ,12 :E-9 E-29 E39 E59 E39 E11 E7
7m5  ,12 :E-9 E-29 E19 E19 E-1 E19 E59
7m5  ,12 :E-9 E-29 E39 E43 E43 E59 E39
7m5  ,12 :E-9 E-29 E39 E23 E47 E27 E47
7m5  ,12 :E-9 E-29 E39 E23 E51 E43 E43
7m5  ,12 :E-9 E-29 E39 E31 E23 E19 E51
7m5  ,12 :E-9 E-29 E39 E43 E39 E47 E51
7m5  ,12 :E-9 E-29 E39 E23 E47 E27 E51
7m5  ,12 :E-9 E-29 E39 E43 E19 E19 E11
7m5  ,12 :E-9 E-29 E39 E43 E39 E51 E39
7m5  ,12 :E-9 E-29 E39 E43 E43 E23 E55
7m5  ,12 :E-9 E-29 E39 E31 E23 E19 E55
7m5  ,12 :E-9 E-29 E19 E19 E39 E31 E3
7m5  ,12 :E-9 E-29 E19 E19 E-1 E19 E55
7m5  ,12 :E-9 E-29 E19 E19 E39 E31 E23
7m5  ,12 :E-9 E-29 E39 E23 E35 E55 E39
7m5  ,12 :E-9 E-29 E39 E23 E35 E55 E55
7m6  ,-9 :E-9 E-13 E-13 E-9 E19 E23 E3
7m6  ,-9 :E-9 E-13 E-13 E-9 E19 E23 E-17
7m6  ,-4 :E-9 E11 E11 E19 E31 E3 E-1
7m6  ,-4 :E-9 E11 E11 E19 E31 E7 E7
7m6  ,-1 :E-9 E7 E-17 E-13 E11 E-25 E-9
7m6  ,7  :E-9 E11 E11 E23 E7 E-29 E39
7m6  ,7  :E-9 E11 E11 E23 E39 E7 E-29
7m6  ,7  :E-9 E11 E11 E23 E7 E-29 E43
7m6  ,7  :E-9 E11 E11 E23 E7 E-29 E47
7m6  ,12 :E-9 E7 E-21 E-13 E3 E-21 E7
7m6  ,14 :E-9 E-29 E39 E27 E-25 E27 E35
7m6  ,14 :E-9 E-29 E39 E43 E-25 E59 E31
7m6  ,14 :E-9 E-29 E39 E43 E-25 E59 E39
7m6  ,14 :E-9 E-29 E39 E43 E-25 E39 E39
7m6  ,14 :E-9 E-29 E39 E59 E-1 E-25 E39
7m6  ,14 :E-9 E-29 E39 E59 E39 E-25 E3
7m6  ,14 :E-9 E-29 E39 E59 E39 E-25 E-1
7m6  ,14 :E-9 E-29 E39 E43 E-25 E39 E35
7m6  ,14 :E-9 E-29 E39 E59 E-1 E-25 E47
7m6  ,14 :E-9 E-29 E39 E59 E-1 E-25 E43
7m6  ,14 :E-9 E-29 E39 E27 E-25 E27 E55
7m7  ,-8 :E-9 E-29 E-5 E-21 E3 E-17 E7
7m7  ,-8 :E-9 E-29 E-5 E-1 E-25 E-25 E-9
7m7  ,-8 :E-9 E-29 E-5 E-1 E3 E27 E19
7m7  ,-8 :E-9 E-29 E-5 E-21 E7 E-1 E-1
7m7  ,-8 :E-9 E-29 E-5 E-21 E-9 E11 E11
7m7  ,-8 :E-9 E-29 E-5 E-1 E-1 E-21 E11
7m7  ,-8 :E-9 E-29 E-5 E-21 E-9 E11 E19
7m7  ,-8 :E-9 E-29 E-5 E-1 E3 E27 E15
7m7  ,-8 :E-9 E-29 E-5 E-21 E-9 E11 E-5
7m7  ,-8 :E-9 E-29 E-5 E-21 E15 E-17 E-17
7m7  ,-8 :E-9 E-29 E-25 E-25 E-5 E-13 E-41
7m7  ,-8 :E-9 E-29 E-5 E-1 E-5 E3 E7
7m7  ,-8 :E-9 E-29 E-5 E-1 E-5 E7 E-5
7m7  ,-8 :E-9 E-29 E-25 E-25 E-45 E19 E-29
7m7  ,-8 :E-9 E-29 E-25 E-25 E-45 E19 E-33
7m7  ,-8 :E-9 E-29 E-5 E-1 E-25 E-25 E-33
7m7  ,-8 :E-9 E-29 E-25 E-5 E-5 E-1 E-17
7m7  ,-8 :E-9 E-29 E-5 E-1 E-1 E-21 E19
7m7  ,-8 :E-9 E-29 E-25 E-25 E-45 E19 E-25
7m7  ,-8 :E-9 E-29 E-5 E-21 E3 E-17 E3
7m7  ,-8 :E-9 E-29 E-5 E-1 E-1 E15 E-5
7m7  ,-8 :E-9 E-29 E-25 E-25 E-5 E-13 E-21
7m7  ,-8 :E-9 E-29 E-5 E-1 E3 E-9 E19
7m8  ,-6 :E-9 E-29 E-5 E-1 E-5 E19 E-9
7m8  ,-6 :E-9 E-29 E-5 E-1 E19 E15 E-5
7m8  ,-6 :E-9 E-29 E-5 E-17 E-17 E19 E11
7m8  ,-6 :E-9 E-29 E-5 E-17 E-17 E19 E-9
7m8  ,-6 :E-9 E-29 E-5 E-1 E-5 E19 E-5
7m8  ,-6 :E-9 E-29 E-5 E-1 E19 E15 E-13
7m8  ,-3 :E-9 E7 E-5 E3 E-5 E-41 E-17
7m8  ,6  :E-9 E-1 E-17 E15 E19 E7 E-13
7m8  ,8  :E-9 E11 E11 E3 E-17 E-41 E-37
7m8  ,12 :E-9 E11 E11 E-1 E7 E11 E11
7m9  ,10 :E-9 E-13 E-17 E-21 E-21 E-41 E-17
7m10 ,-5 :E-9 E-29 E-5 E-1 E19 E39 E-17
7m10 ,2  :E-9 E7 E-5 E11 E-1 E11 E-49
7m10 ,2  :E-9 E7 E-5 E11 E-1 E11 E-41
7m10 ,2  :E-9 E7 E-5 E11 E-1 E-41 E11
7m10 ,5  :E-9 E-1 E-17 E3 E19 E-9 E-21
7m10 ,5  :E-9 E-1 E-17 E3 E19 E-9 E-13
7m10 ,12 :E-9 E-13 E-17 E-13 E-33 E-33 E-21
7m11 ,-7 :E-9 E-1 E-17 E-1 E55 E3 E-13
7m11 ,-7 :E-9 E-1 E-17 E-1 E55 E3 E-21
7m11 ,3  :E-9 E7 E7 E11 E-29 E11 E-21
7m11 ,3  :E-9 E7 E7 E11 E-29 E11 E-17
7m11 ,3  :E-9 E7 E7 E11 E-29 E11 E-13
7m11 ,4  :E-9 E7 E-5 E3 E23 E3 E-37
7m11 ,4  :E-9 E7 E-5 E3 E23 E3 E-41
7m11 ,4  :E-9 E7 E-5 E3 E23 E3 E-45
7m11 ,26 :E-9 E-29 E-25 E-25 E-45 E19 E27
7m11 ,26 :E-9 E-29 E-25 E-25 E-45 E19 E31
7m11 ,26 :E-9 E-29 E-25 E-25 E-45 E19 E35
7m12 ,0  :E-9 E-1 E-17 E11 E-25 E11 E-21
7m12 ,0  :E-9 E-1 E-17 E11 E-25 E11 E-25
7m14 ,22 :E-9 E-9 E19 E-9 E11 E11 E3
7m15 ,-14:E-9 E-29 E19 E19 E-1 E19 E-17
7m15 ,-14:E-9 E-29 E19 E19 E-1 E19 E-9
7m15 ,-14:E-9 E-29 E19 E19 E-1 E19 E-13
7m17 ,6  :E-9 E11 E11 E23 E-21 E15 E43
7m17 ,6  :E-9 E11 E11 E23 E-21 E15 E47
7m19 ,-3 :E-9 E-29 E39 E59 E-1 E-25 E-13
7m19 ,-3 :E-9 E-29 E39 E59 E-1 E-25 E-17
7m19 ,-3 :E-9 E-29 E39 E59 E-1 E-25 E-21
7m20 ,2  :E-9 E-9 E3 E11 E3 E23 E3
7m21 ,-2 :E-9 E-29 E39 E59 E55 E-1 E-9
7m21 ,-2 :E-9 E-29 E39 E59 E55 E-1 E-17
7m21 ,-2 :E-9 E-29 E39 E59 E55 E-1 E-13
7m24 ,2  :E-9 E11 E11 E23 E-21 E15 E23
7m24 ,2  :E-9 E11 E11 E23 E7 E-29 E-1
7m24 ,2  :E-9 E11 E11 E23 E7 E-29 E3
7m24 ,2  :E-9 E11 E11 E23 E-13 E-21 E-9
7m24 ,2  :E-9 E11 E11 E23 E-21 E15 E19
7m24 ,2  :E-9 E11 E11 E23 E7 E-29 E-5
7m24 ,2  :E-9 E11 E11 E23 E-13 E-29 E11
7m26 ,3  :E-9 E11 E11 E23 E55 E-21 E-1
8m-25,13 :E-9 E-13 E-17 E-33 E-17 E11 E-45 E-13
8m-25,13 :E-9 E-13 E-17 E-33 E-17 E11 E-13 E-45
8m-25,13 :E-9 E-13 E-17 E-33 E-17 E11 E-45 E3
8m-25,13 :E-9 E-13 E-17 E-33 E-17 E-9 E3 E-9
8m-25,13 :E-9 E-13 E-17 E-33 E-17 E-21 E-41 E-5
8m-25,13 :E-9 E-13 E-17 E-33 E-17 E-9 E19 E19
8m-25,13 :E-9 E-13 E-17 E-33 E-17 E-9 E19 E11
8m-25,13 :E-9 E-13 E-17 E-33 E-17 E-9 E19 E-1
8m-25,13 :E-9 E-13 E-17 E-33 E-17 E3 E-5 E-5
8m-25,13 :E-9 E-13 E-17 E-33 E-17 E-9 E3 E-17
8m-25,13 :E-9 E-13 E-17 E-33 E-17 E3 E-5 E-9
8m-25,13 :E-9 E-13 E-17 E-33 E-17 E3 E-5 E-13
8m-25,13 :E-9 E-13 E-17 E-33 E-17 E3 E-13 E-17
8m-25,13 :E-9 E-13 E-17 E-33 E-17 E-9 E7 E-1
8m-25,13 :E-9 E-13 E-17 E-33 E-17 E-9 E7 E7
8m-25,13 :E-9 E-13 E-17 E-33 E-17 E11 E-13 E-29
8m-23,14 :E-9 E-13 E-17 E-33 E-17 E-37 E-65 E-13
8m-23,14 :E-9 E-13 E-17 E-33 E-17 E-9 E-65 E-1
8m-23,14 :E-9 E-13 E-17 E-33 E-17 E3 E-65 E-25
8m-23,14 :E-9 E-13 E-17 E-33 E-17 E-37 E-65 E7
8m-23,14 :E-9 E-13 E-17 E-33 E-17 E3 E-65 E-29
8m-23,14 :E-9 E-13 E-17 E-33 E-17 E-21 E-65 E11
8m-23,14 :E-9 E-13 E-17 E-33 E-17 E-9 E-65 E15
8m-18,6  :E-9 E7 E-9 E-41 E-33 E-33 E-25 E-45
8m-18,6  :E-9 E7 E-9 E-45 E-29 E-37 E-41 E-45
8m-18,6  :E-9 E7 E-9 E-57 E-37 E-49 E-25 E-53
8m-18,6  :E-9 E7 E-9 E-57 E-37 E-49 E-25 E-49
8m-18,6  :E-9 E7 E-9 E-57 E-37 E-49 E-25 E-45
8m-18,6  :E-9 E7 E-9 E-57 E-29 E-21 E-21 E-41
8m-18,6  :E-9 E7 E-9 E-57 E-29 E-21 E-21 E-21
8m-18,6  :E-9 E7 E-9 E-57 E-53 E-61 E-25 E-61
8m-18,6  :E-9 E7 E-9 E-41 E-33 E-33 E-25 E-37
8m-16,7  :E-9 E7 E-9 E-57 E-53 E-25 E-37 E-49
8m-16,7  :E-9 E7 E-9 E-57 E-53 E-25 E-37 E-57
8m-16,10 :E-9 E-13 E-17 E-21 E-25 E-9 E-61 E-29
8m-16,11 :E-9 E7 E-9 E-25 E-21 E-89 E-97 E-101
8m-16,11 :E-9 E7 E-9 E-25 E-21 E-89 E-101 E-89
8m-16,11 :E-9 E7 E-9 E-25 E-21 E-89 E-97 E-105
8m-15,14 :E-9 E-13 E-17 E-21 E-25 E-9 E-41 E-29
8m-13,-3 :E-9 E11 E11 E19 E3 E-9 E-13 E27
8m-13,-3 :E-9 E11 E11 E19 E3 E-9 E-13 E35
8m-13,4  :E-9 E7 E7 E11 E-29 E-25 E-21 E-49
8m-13,4  :E-9 E7 E7 E11 E-29 E-25 E-21 E-57
8m-13,11 :E-9 E7 E-9 E-37 E-29 E-57 E-37 E-29
8m-12,16 :E-9 E-1 E-17 E-9 E19 E23 E-29 E-13
8m-12,16 :E-9 E-1 E-17 E-9 E19 E23 E-29 E7
8m-12,16 :E-9 E-1 E-17 E-9 E19 E19 E-29 E23
8m-11,-12:E-9 E-13 E-17 E-33 E-53 E-37 E-21 E35
8m-11,4  :E-9 E7 E-9 E-37 E-41 E-25 E-53 E-37
8m-11,4  :E-9 E7 E-9 E-37 E-41 E-29 E-53 E-21
8m-11,4  :E-9 E7 E-9 E-37 E-41 E-29 E-53 E-25
8m-11,4  :E-9 E7 E-9 E-37 E-41 E-53 E-25 E-37
8m-11,4  :E-9 E7 E-9 E-29 E-29 E-53 E-53 E-33
8m-11,4  :E-9 E7 E-9 E-57 E-53 E-61 E-45 E-61
8m-10,6  :E-9 E7 E-9 E-57 E-53 E-45 E-41 E-49
8m-10,6  :E-9 E7 E-9 E-57 E-53 E-45 E-41 E-57
8m-10,9  :E-9 E7 E11 E-29 E-9 E-13 E-41 E19
8m-10,16 :E-9 E7 E-17 E-29 E-41 E-45 E-9 E-5
8m-10,16 :E-9 E7 E-17 E-29 E-41 E-45 E-9 E-9
8m-10,18 :E-9 E7 E-5 E11 E-1 E11 E-45 E19
8m-10,18 :E-9 E7 E-5 E11 E-1 E11 E-45 E15
8m-10,18 :E-9 E7 E-5 E11 E-1 E11 E-45 E11
8m-9 ,-5 :E-9 E7 E-9 E-57 E-29 E-21 E-33 E-41
8m-9 ,8  :E-9 E-1 E-17 E11 E-25 E-13 E-21 E27
8m-9 ,8  :E-9 E-1 E-17 E11 E-25 E-13 E-21 E23
8m-9 ,14 :E-9 E-29 E-5 E-1 E-25 E-9 E15 E35
8m-9 ,14 :E-9 E-29 E-5 E-1 E-25 E-9 E15 E31
8m-9 ,14 :E-9 E-29 E-5 E-1 E-25 E-9 E15 E27
8m-8 ,0  :E-9 E7 E7 E-13 E-13 E-33 E-9 E27
8m-8 ,3  :E-9 E11 E11 E23 E55 E11 E-21 E-17
8m-8 ,4  :E-9 E-1 E-17 E11 E-25 E3 E-37 E23
8m-8 ,4  :E-9 E-1 E-17 E11 E-25 E35 E-37 E23
8m-8 ,12 :E-9 E7 E-5 E3 E23 E3 E3 E11
8m-8 ,12 :E-9 E7 E-5 E3 E23 E3 E3 E15
8m-8 ,12 :E-9 E7 E-5 E3 E23 E3 E3 E7
8m-7 ,-2 :E-9 E-17 E19 E-5 E11 E31 E-41 E-21
8m-7 ,-2 :E-9 E-17 E19 E-5 E11 E31 E-41 E-25
8m-7 ,5  :E-9 E7 E-21 E11 E-1 E7 E31 E19
8m-7 ,14 :E-9 E11 E11 E-1 E-9 E7 E-45 E-21
8m-6 ,-5 :E-9 E7 E-5 E-29 E-9 E-29 E-29 E-13
8m-6 ,-5 :E-9 E7 E-5 E-29 E-9 E-29 E-5 E-13
8m-6 ,-4 :E-9 E-1 E-5 E7 E3 E-9 E7 E-1
8m-6 ,5  :E-9 E-1 E-17 E11 E-25 E-13 E-37 E27
8m-6 ,5  :E-9 E-1 E-17 E11 E-25 E-13 E-37 E23
8m-6 ,9  :E-9 E7 E-5 E-29 E3 E-1 E7 E11
8m-6 ,9  :E-9 E7 E-5 E-29 E3 E-1 E11 E11
8m-6 ,9  :E-9 E7 E-5 E-29 E3 E-1 E-5 E15
8m-6 ,11 :E-9 E11 E11 E-29 E3 E-1 E-29 E3
8m-6 ,11 :E-9 E11 E11 E-29 E3 E-1 E-29 E-13
8m-6 ,11 :E-9 E7 E11 E7 E-29 E-5 E-5 E-17
8m-6 ,11 :E-9 E-13 E-13 E-1 E-17 E-17 E-21 E-9
8m-5 ,4  :E-9 E7 E7 E11 E-29 E3 E23 E19
8m-5 ,4  :E-9 E7 E7 E11 E-29 E3 E23 E35
8m-5 ,7  :E-9 E11 E11 E3 E-5 E-21 E15 E11
8m-5 ,7  :E-9 E11 E11 E3 E-5 E-21 E15 E7
8m-4 ,6  :E-9 E7 E7 E11 E-29 E23 E-29 E3
8m-4 ,6  :E-9 E7 E7 E11 E-29 E23 E-29 E19
8m-4 ,6  :E-9 E7 E7 E11 E-29 E23 E-29 E15
8m-3 ,-9 :E-9 E-13 E-13 E-29 E-29 E-13 E-21 E-9
8m-3 ,-9 :E-9 E-13 E-13 E-29 E-29 E-13 E-17 E-25
8m-3 ,-9 :E-9 E-13 E-13 E-29 E-29 E-13 E-17 E-21
8m-3 ,1  :E-9 E-13 E-17 E-33 E-17 E3 E-5 E-81
8m-3 ,1  :E-9 E-13 E-17 E-33 E-17 E3 E-5 E-77
8m-3 ,1  :E-9 E-13 E-17 E-33 E-17 E3 E-5 E-73
8m-2 ,-19:E-9 E7 E11 E-29 E-9 E7 E-1 E35
8m-2 ,5  :E-9 E7 E-17 E11 E-9 E-29 E-5 E-29
8m-2 ,5  :E-9 E7 E-17 E11 E-9 E-29 E-5 E-45
8m-2 ,5  :E-9 E-9 E-5 E-13 E-17 E-29 E-13 E-61
8m-2 ,10 :E-9 E7 E-21 E11 E19 E-5 E3 E15
8m-2 ,10 :E-9 E7 E-21 E11 E19 E7 E-5 E-1
8m-2 ,10 :E-9 E7 E-21 E11 E19 E7 E-5 E3
8m-2 ,15 :E-9 E11 E11 E-29 E3 E-1 E7 E-5
8m-1 ,0  :E-9 E7 E-17 E11 E-1 E-13 E-33 E23
8m-1 ,0  :E-9 E7 E-17 E11 E-1 E-13 E-33 E3
8m-1 ,4  :E-9 E7 E-21 E-21 E11 E11 E-29 E15
8m-1 ,4  :E-9 E7 E-21 E-21 E11 E11 E-29 E11
8m-1 ,11 :E-9 E11 E11 E-1 E27 E-25 E-33 E-9
8m-1 ,19 :E-9 E-1 E15 E-5 E-5 E-21 E-49 E35
8m-1 ,19 :E-9 E-29 E-5 E-21 E15 E-17 E-33 E35
8m-1 ,19 :E-9 E-29 E-5 E-21 E15 E-17 E-33 E27
8m-1 ,19 :E-9 E-29 E-5 E-21 E15 E-17 E-33 E31
8m-1 ,28 :E-9 E11 E11 E-1 E27 E-29 E-33 E-45
8m0  ,9  :E-9 E7 E-9 E-41 E-21 E-29 E-25 E-49
8m0  ,9  :E-9 E7 E-9 E-41 E-21 E-29 E-25 E-41
8m0  ,13 :E-9 E-9 E-5 E-17 E-25 E-5 E-17 E15
8m0  ,19 :E-9 E-1 E15 E-5 E-9 E11 E-29 E39
8m0  ,19 :E-9 E-1 E15 E-5 E-5 E35 E-29 E-13
8m0  ,19 :E-9 E-1 E15 E-5 E-5 E35 E-29 E-9
8m0  ,19 :E-9 E-1 E15 E-5 E-5 E35 E-29 E-25
8m0  ,19 :E-9 E-1 E15 E-5 E-9 E11 E-29 E19
8m1  ,-2 :E-9 E7 E-21 E-13 E-29 E-17 E-5 E-21
8m1  ,-2 :E-9 E-9 E19 E-5 E27 E-29 E-5 E31
8m1  ,0  :E-9 E11 E11 E-1 E7 E-13 E23 E-13
8m1  ,0  :E-9 E11 E11 E-1 E7 E-17 E23 E-5
8m1  ,0  :E-9 E11 E11 E-1 E7 E-13 E23 E-21
8m1  ,0  :E-9 E11 E11 E-1 E7 E-1 E23 E-21
8m1  ,6  :E-9 E7 E-5 E11 E3 E-5 E-1 E-57
8m1  ,6  :E-9 E7 E-5 E11 E3 E-5 E-1 E-49
8m1  ,12 :E-9 E-1 E-1 E19 E27 E35 E-5 E43
8m1  ,12 :E-9 E-1 E-1 E19 E27 E35 E-5 E39
8m1  ,12 :E-9 E-1 E-1 E19 E27 E39 E-5 E27
8m1  ,21 :E-9 E-1 E15 E-5 E-29 E-49 E-9 E35
8m1  ,21 :E-9 E7 E-17 E-33 E-25 E-37 E-21 E7
8m1  ,21 :E-9 E7 E-17 E-33 E-25 E-37 E-21 E3
8m1  ,21 :E-9 E7 E-17 E-33 E-25 E-37 E7 E-21
8m1  ,28 :E-9 E7 E7 E-17 E-13 E-17 E-41 E-33
8m1  ,28 :E-9 E7 E7 E-17 E-13 E-13 E-25 E7
8m1  ,28 :E-9 E7 E7 E-17 E-13 E-17 E-41 E-29
8m1  ,28 :E-9 E7 E7 E-17 E11 E-5 E43 E39
8m1  ,28 :E-9 E7 E7 E-17 E11 E-5 E43 E31
8m1  ,28 :E-9 E7 E7 E-17 E11 E-5 E43 E35
8m2  ,-18:E-9 E-13 E-13 E-9 E-5 E55 E-13 E-17
8m2  ,-14:E-9 E7 E-17 E11 E-5 E-13 E-25 E-33
8m2  ,-14:E-9 E7 E-17 E11 E-5 E-13 E-25 E-25
8m2  ,-14:E-9 E7 E-17 E11 E-5 E-9 E-13 E-33
8m2  ,-14:E-9 E7 E7 E-17 E11 E-5 E-65 E-53
8m2  ,-14:E-9 E7 E7 E-17 E11 E-5 E-65 E-57
8m2  ,-14:E-9 E7 E7 E-17 E11 E-5 E-65 E-61
8m2  ,-14:E-9 E7 E-17 E11 E-5 E-9 E-9 E-21
8m2  ,-14:E-9 E7 E-17 E11 E-5 E-9 E-9 E-17
8m2  ,-14:E-9 E7 E7 E11 E-13 E-5 E-29 E27
8m2  ,0  :E-9 E7 E7 E-13 E-29 E-5 E-5 E27
8m2  ,2  :E-9 E11 E11 E-29 E-29 E-29 E19 E7
8m2  ,12 :E-9 E-13 E-13 E-9 E3 E3 E-17 E-5
8m2  ,14 :E-9 E-1 E-1 E19 E27 E-5 E-33 E31
8m2  ,30 :E-9 E7 E7 E-17 E11 E-5 E-65 E35
8m2  ,30 :E-9 E7 E7 E-17 E11 E-5 E-65 E31
8m2  ,30 :E-9 E7 E7 E-17 E11 E-5 E-65 E27
8m2  ,30 :E-9 E7 E7 E-17 E-65 E-13 E-9 E-9
8m2  ,30 :E-9 E7 E7 E-17 E-65 E-13 E-9 E-5
8m3  ,0  :E-9 E-1 E15 E-13 E-29 E-21 E-1 E-17
8m3  ,0  :E-9 E-1 E15 E-13 E-29 E-21 E-1 E-21
8m3  ,0  :E-9 E-1 E15 E-13 E-29 E-21 E-1 E-25
8m4  ,-13:E-9 E7 E-17 E11 E-5 E-33 E43 E-13
8m4  ,-13:E-9 E7 E7 E-17 E11 E-5 E43 E-49
8m4  ,-13:E-9 E7 E7 E-17 E11 E-5 E43 E-53
8m4  ,-13:E-9 E7 E7 E-17 E11 E-5 E43 E-57
8m4  ,-3 :E-9 E11 E11 E-29 E-29 E-29 E19 E3
8m4  ,0  :E-9 E-13 E-13 E-9 E-9 E-9 E-1 E-13
8m4  ,0  :E-9 E-13 E-13 E-9 E-9 E-9 E-1 E-17
8m4  ,9  :E-9 E-1 E15 E-5 E-17 E-1 E35 E-49
8m4  ,9  :E-9 E-1 E15 E-5 E-17 E-1 E35 E-37
8m4  ,9  :E-9 E-1 E15 E-5 E-17 E-1 E35 E-33
8m4  ,9  :E-9 E7 E-17 E-29 E-25 E15 E15 E3
8m4  ,9  :E-9 E7 E-17 E-29 E-25 E15 E15 E15
8m4  ,9  :E-9 E7 E-17 E-29 E-25 E11 E7 E7
8m4  ,10 :E-9 E7 E-17 E11 E7 E-1 E-1 E-17
8m4  ,11 :E-9 E-1 E15 E-5 E-5 E-5 E-33 E35
8m5  ,-9 :E-9 E11 E11 E3 E-5 E15 E31 E-1
8m5  ,1  :E-9 E-13 E-13 E-9 E19 E-9 E15 E-17
8m5  ,2  :E-9 E-9 E3 E23 E-1 E-1 E7 E19
8m5  ,2  :E-9 E-9 E3 E23 E-1 E-1 E7 E23
8m5  ,11 :E-9 E-1 E15 E-5 E-17 E-1 E35 E-21
8m5  ,11 :E-9 E-1 E15 E-5 E-17 E-1 E-21 E35
8m5  ,11 :E-9 E7 E-17 E-29 E-25 E-21 E15 E11
8m5  ,12 :E-9 E-29 E39 E31 E23 E19 E47 E55
8m5  ,12 :E-9 E-29 E39 E23 E51 E27 E39 E55
8m5  ,12 :E-9 E-29 E39 E31 E23 E19 E59 E59
8m5  ,12 :E-9 E-29 E39 E31 E23 E19 E59 E55
8m5  ,12 :E-9 E-29 E39 E31 E23 E19 E59 E51
8m5  ,12 :E-9 E-29 E39 E43 E19 E35 E3 E59
8m5  ,12 :E-9 E-29 E39 E43 E39 E47 E59 E47
8m5  ,12 :E-9 E-29 E19 E39 E39 E27 E27 E55
8m5  ,12 :E-9 E-29 E39 E43 E19 E19 E59 E35
8m5  ,12 :E-9 E-29 E39 E23 E51 E27 E39 E59
8m5  ,12 :E-9 E-29 E19 E39 E39 E43 E31 E59
8m5  ,12 :E-9 E-29 E19 E39 E39 E27 E27 E35
8m5  ,12 :E-9 E-29 E39 E43 E47 E35 E59 E51
8m5  ,12 :E-9 E-29 E39 E23 E47 E27 E63 E51
8m5  ,12 :E-9 E-29 E39 E23 E47 E27 E59 E63
8m5  ,12 :E-9 E-29 E39 E23 E47 E27 E43 E63
8m5  ,12 :E-9 E-29 E39 E31 E23 E19 E67 E55
8m5  ,12 :E-9 E-29 E39 E31 E23 E19 E47 E67
8m5  ,12 :E-9 E-29 E39 E31 E23 E19 E63 E67
8m5  ,12 :E-9 E-29 E39 E23 E51 E27 E39 E51
8m5  ,12 :E-9 E-29 E39 E23 E47 E27 E43 E51
8m5  ,12 :E-9 E-29 E39 E43 E39 E51 E31 E19
8m5  ,12 :E-9 E-29 E39 E43 E39 E51 E31 E35
8m5  ,12 :E-9 E-29 E39 E43 E47 E35 E71 E59
8m5  ,12 :E-9 E-29 E39 E43 E47 E35 E71 E67
8m5  ,12 :E-9 E-29 E39 E43 E47 E35 E59 E71
8m5  ,12 :E-9 E-29 E39 E43 E43 E23 E51 E51
8m5  ,12 :E-9 E-29 E39 E31 E23 E19 E47 E51
8m5  ,12 :E-9 E-29 E19 E39 E39 E43 E31 E39
8m5  ,12 :E-9 E-29 E39 E43 E19 E35 E3 E43
8m5  ,12 :E-9 E-29 E39 E23 E39 E51 E83 E79
8m5  ,12 :E-9 E-29 E39 E23 E39 E51 E83 E71
8m5  ,12 :E-9 E-29 E39 E23 E47 E27 E43 E47
8m6  ,14 :E-9 E-29 E39 E43 E39 E51 E-25 E39
8m6  ,14 :E-9 E-29 E39 E23 E47 E27 E-25 E51
8m6  ,14 :E-9 E-29 E39 E23 E35 E55 E-25 E55
8m6  ,14 :E-9 E-29 E39 E23 E35 E55 E-25 E39
8m6  ,14 :E-9 E-29 E39 E31 E23 E19 E-25 E55
8m6  ,14 :E-9 E-29 E39 E43 E43 E23 E-25 E55
8m6  ,14 :E-9 E-29 E39 E31 E23 E19 E-25 E51
8m6  ,14 :E-9 E-29 E39 E23 E47 E27 E-25 E47
8m6  ,14 :E-9 E-29 E39 E43 E43 E23 E-25 E63
8m6  ,14 :E-9 E-29 E39 E23 E35 E55 E-25 E63
8m6  ,14 :E-9 E-29 E39 E43 E-25 E43 E63 E23
8m6  ,14 :E-9 E-29 E39 E43 E47 E71 E-25 E63
8m6  ,14 :E-9 E-29 E39 E43 E47 E71 E-25 E59
8m7  ,-8 :E-9 E-29 E-5 E-1 E-25 E-9 E15 E-49
8m7  ,-8 :E-9 E-29 E-25 E-5 E-5 E-17 E-17 E-9
8m7  ,-8 :E-9 E-29 E-5 E-21 E15 E-17 E-33 E-45
8m7  ,-8 :E-9 E-29 E-5 E-1 E-25 E-9 E15 E-45
8m7  ,-8 :E-9 E-29 E-25 E-25 E-9 E-33 E-13 E-33
8m7  ,-8 :E-9 E-29 E-5 E-1 E-25 E-9 E15 E-41
8m7  ,-8 :E-9 E-29 E-5 E-1 E-25 E-9 E-41 E15
8m7  ,-8 :E-9 E-29 E-5 E-1 E3 E-9 E27 E15
8m7  ,-8 :E-9 E-29 E-5 E-1 E3 E-9 E27 E23
8m7  ,-8 :E-9 E-29 E-5 E-21 E15 E-17 E-33 E-41
8m7  ,-8 :E-9 E-29 E-5 E-17 E-17 E15 E7 E-41
8m7  ,-8 :E-9 E-29 E-5 E-21 E15 E-17 E-33 E-37
8m7  ,-8 :E-9 E-29 E-5 E-21 E3 E-17 E-1 E19
8m7  ,-8 :E-9 E-29 E-5 E-21 E3 E-17 E15 E19
8m7  ,-8 :E-9 E-29 E-5 E-17 E-17 E15 E-25 E7
8m7  ,-8 :E-9 E-29 E-5 E-17 E-17 E15 E-25 E-9
8m7  ,-8 :E-9 E-29 E-5 E-17 E-17 E15 E7 E-25
8m7  ,-8 :E-9 E-29 E-5 E-1 E-25 E-25 E15 E-9
8m7  ,-8 :E-9 E-29 E-5 E-21 E3 E-17 E-1 E3
8m7  ,-8 :E-9 E-29 E-5 E-1 E-1 E-21 E7 E7
8m7  ,-8 :E-9 E-29 E-5 E-21 E3 E-17 E-1 E7
8m7  ,-8 :E-9 E-29 E-5 E-1 E-5 E7 E-13 E-9
8m7  ,-8 :E-9 E-29 E-5 E-1 E-5 E7 E-13 E-25
8m7  ,-8 :E-9 E-29 E-5 E-1 E-25 E-9 E-41 E-1
8m7  ,-8 :E-9 E-29 E-5 E-21 E-9 E11 E-1 E-5
8m7  ,-8 :E-9 E-29 E-25 E-5 E-5 E-17 E-17 E11
8m7  ,-8 :E-9 E-29 E-5 E-21 E-9 E11 E-1 E-25
8m7  ,-8 :E-9 E-29 E-25 E-25 E-9 E-33 E-13 E-37
8m7  ,-7 :E-9 E-13 E-13 E-9 E19 E23 E19 E3
8m7  ,-7 :E-9 E-13 E-13 E-9 E19 E23 E19 E-17
8m7  ,-2 :E-9 E-1 E-5 E7 E-1 E-9 E-25 E7
8m7  ,10 :E-9 E7 E-21 E-13 E3 E3 E27 E-1
8m7  ,12 :E-9 E7 E-17 E-29 E-25 E-21 E-1 E3
8m8  ,-6 :E-9 E-29 E-5 E-1 E19 E-1 E-21 E11
8m8  ,-6 :E-9 E-29 E-5 E-1 E19 E-1 E-21 E19
8m8  ,-6 :E-9 E-29 E-5 E-1 E-5 E19 E-13 E-5
8m8  ,-6 :E-9 E-29 E-5 E-1 E-5 E19 E-13 E7
8m8  ,-6 :E-9 E-29 E-5 E-1 E-5 E19 E-13 E-9
8m8  ,-6 :E-9 E-29 E-5 E-1 E-5 E7 E19 E-5
8m8  ,-6 :E-9 E-29 E-5 E-21 E19 E3 E-17 E7
8m8  ,-6 :E-9 E-29 E-5 E-21 E19 E3 E-17 E3
8m8  ,-6 :E-9 E-29 E-5 E-21 E15 E-17 E19 E-17
8m8  ,-6 :E-9 E-29 E-5 E-1 E19 E3 E27 E19
8m8  ,-6 :E-9 E-29 E-5 E-1 E19 E3 E27 E15
8m8  ,-3 :E-9 E7 E-5 E3 E-5 E-13 E-41 E-5
8m8  ,-3 :E-9 E7 E-5 E3 E-5 E-13 E-41 E-9
8m8  ,11 :E-9 E-29 E39 E31 E47 E27 E23 E43
8m8  ,11 :E-9 E-29 E39 E31 E47 E27 E23 E51
8m8  ,14 :E-9 E7 E-17 E11 E7 E19 E-29 E3
8m8  ,15 :E-9 E-29 E39 E59 E-1 E-25 E-5 E39
8m8  ,15 :E-9 E-29 E39 E59 E-1 E-25 E-5 E47
8m8  ,15 :E-9 E-29 E39 E59 E-1 E-25 E-5 E43
8m9  ,3  :E-9 E-1 E-17 E-9 E19 E3 E-9 E-17
8m9  ,7  :E-9 E7 E11 E3 E-9 E-33 E31 E-5
8m10 ,-5 :E-9 E-29 E-5 E-1 E19 E39 E-5 E-5
8m10 ,-5 :E-9 E-29 E-5 E-1 E19 E39 E-5 E-9
8m10 ,2  :E-9 E7 E-5 E11 E-1 E11 E-45 E-53
8m10 ,2  :E-9 E7 E-5 E11 E-1 E11 E-53 E-53
8m10 ,2  :E-9 E7 E-5 E11 E-1 E11 E-45 E-57
8m10 ,2  :E-9 E7 E-5 E11 E-1 E11 E-45 E-61
8m10 ,7  :E-9 E7 E11 E-29 E-5 E-5 E-33 E-29
8m10 ,7  :E-9 E7 E11 E-29 E-5 E-5 E-33 E-45
8m10 ,12 :E-9 E-13 E-17 E-21 E-21 E-13 E-41 E-17
8m11 ,-16:E-9 E-29 E39 E31 E23 E19 E59 E-9
8m11 ,-16:E-9 E-29 E39 E31 E23 E19 E59 E-17
8m11 ,-16:E-9 E-29 E39 E31 E23 E19 E59 E-13
8m11 ,4  :E-9 E-1 E-17 E11 E-25 E35 E27 E-21
8m11 ,4  :E-9 E-1 E-17 E11 E-25 E35 E27 E-25
8m11 ,22 :E-9 E-1 E15 E-13 E-29 E-21 E-1 E11
8m11 ,22 :E-9 E-1 E15 E-13 E-29 E-21 E-1 E3
8m11 ,22 :E-9 E-1 E15 E-13 E-29 E-21 E-1 E7
8m11 ,22 :E-9 E-1 E15 E-13 E-29 E-21 E23 E27
8m12 ,0  :E-9 E-1 E-17 E11 E-25 E11 E-45 E-25
8m12 ,0  :E-9 E-1 E-17 E11 E-25 E11 E-13 E-25
8m12 ,6  :E-9 E7 E-5 E3 E23 E3 E3 E-37
8m12 ,6  :E-9 E7 E-5 E3 E23 E3 E3 E-41
8m12 ,6  :E-9 E7 E-5 E3 E23 E3 E3 E-45
8m12 ,13 :E-9 E-13 E-17 E-13 E-33 E-33 E7 E-21
8m13 ,0  :E-9 E7 E11 E3 E-9 E-33 E15 E11
8m15 ,0  :E-9 E7 E-5 E3 E23 E15 E3 E-49
8m15 ,0  :E-9 E7 E-5 E3 E23 E15 E-49 E11
8m15 ,0  :E-9 E7 E-5 E3 E23 E15 E3 E-29
8m15 ,0  :E-9 E7 E-5 E3 E23 E15 E-49 E3
8m16 ,-1 :E-9 E7 E-21 E11 E-1 E7 E-29 E19
8m17 ,-10:E-9 E-29 E39 E23 E51 E27 E39 E-9
8m17 ,-10:E-9 E-29 E39 E23 E51 E27 E39 E-13
8m17 ,-10:E-9 E-29 E39 E23 E51 E27 E39 E-17
8m19 ,-3 :E-9 E-29 E39 E59 E-1 E-25 E-5 E-13
8m19 ,-3 :E-9 E-29 E39 E59 E-1 E-25 E-5 E-17
8m19 ,-3 :E-9 E-29 E39 E59 E-1 E-25 E-5 E-9
8m20 ,2  :E-9 E-9 E3 E11 E3 E23 E-1 E-29
8m20 ,2  :E-9 E-9 E3 E11 E3 E23 E-1 E-9
8m21 ,1  :E-9 E-1 E-5 E7 E-5 E-17 E47 E35
8m23 ,5  :E-9 E-29 E-5 E-21 E-5 E31 E7 E19
8m24 ,2  :E-9 E7 E-17 E11 E23 E-5 E-9 E-21
8m24 ,2  :E-9 E11 E11 E23 E-13 E-29 E3 E15
8m24 ,2  :E-9 E7 E-17 E11 E23 E-5 E-9 E-17
8m26 ,7  :E-9 E11 E11 E23 E-21 E23 E35 E31
8m26 ,7  :E-9 E11 E11 E23 E-21 E23 E35 E51
8m28 ,-5 :E-9 E-1 E15 E-5 E-25 E19 E-5 E-13
8m28 ,-5 :E-9 E-1 E15 E-5 E-25 E19 E-5 E-17
8m28 ,33 :E-9 E-9 E19 E-9 E11 E-1 E-9 E3
8m31 ,18 :E-9 E-9 E19 E-9 E11 E-5 E7 E3
9m-25,13 :E-9 E-13 E-17 E-33 E-17 E-9 E19 E15 E11
9m-25,13 :E-9 E-13 E-17 E-33 E-17 E-9 E19 E15 E15
9m-23,14 :E-9 E-13 E-17 E-33 E-17 E-9 E19 E-65 E11
9m-23,14 :E-9 E-13 E-17 E-33 E-17 E-9 E19 E-65 E-1
9m-23,14 :E-9 E-13 E-17 E-33 E-17 E-9 E7 E-65 E7
9m-23,14 :E-9 E-13 E-17 E-33 E-17 E-9 E7 E-65 E-1
9m-23,14 :E-9 E-13 E-17 E-33 E-17 E-9 E19 E-65 E19
9m-22,16 :E-9 E-13 E-17 E-33 E-17 E-65 E-85 E-9 E15
9m-22,16 :E-9 E-13 E-17 E-33 E-17 E-65 E-85 E-9 E-1
9m-18,6  :E-9 E7 E-9 E-57 E-29 E-21 E-13 E-69 E-41
9m-18,6  :E-9 E7 E-9 E-57 E-29 E-21 E-13 E-69 E-25
9m-18,6  :E-9 E7 E-9 E-57 E-37 E-49 E-61 E-25 E-57
9m-18,6  :E-9 E7 E-9 E-57 E-37 E-49 E-61 E-25 E-53
9m-18,6  :E-9 E7 E-9 E-57 E-37 E-49 E-61 E-25 E-49
9m-15,4  :E-9 E-9 E3 E23 E-1 E-17 E31 E-41 E35
9m-11,4  :E-9 E7 E-9 E-25 E-49 E-37 E-49 E-53 E-13
9m-11,4  :E-9 E7 E7 E-13 E-17 E-5 E-41 E-41 E27
9m-7 ,-2 :E-9 E-17 E19 E-5 E11 E-5 E-41 E-17 E-41
9m-7 ,-2 :E-9 E-17 E19 E-5 E11 E-5 E-41 E-17 E-33
9m-6 ,1  :E-9 E7 E7 E-13 E-13 E-33 E-9 E-5 E27
9m-6 ,9  :E-9 E7 E-5 E-29 E3 E-1 E23 E-1 E11
9m-5 ,3  :E-9 E-1 E-17 E11 E-13 E15 E15 E-21 E-57
9m-5 ,3  :E-9 E-1 E-17 E11 E-13 E15 E15 E-21 E-41
9m-4 ,-8 :E-9 E7 E-5 E-29 E3 E3 E-1 E3 E27
9m-4 ,-8 :E-9 E7 E-5 E-29 E3 E3 E-1 E3 E31
9m-4 ,18 :E-9 E-13 E-13 E-1 E-17 E7 E7 E-33 E-25
9m-3 ,2  :E-9 E-1 E-5 E7 E-1 E11 E-17 E-5 E27
9m-3 ,2  :E-9 E-1 E-5 E7 E-1 E11 E-17 E-5 E31
9m-3 ,2  :E-9 E-1 E-5 E7 E-1 E11 E-17 E-5 E35
9m-3 ,2  :E-9 E-1 E-5 E7 E-1 E11 E-17 E-5 E39
9m-3 ,2  :E-9 E-1 E-5 E7 E-1 E11 E-17 E-5 E43
9m-3 ,23 :E-9 E-17 E-33 E15 E-1 E-5 E-45 E-5 E19
9m-3 ,23 :E-9 E-17 E-33 E15 E-1 E-5 E-45 E-5 E27
9m-1 ,10 :E-9 E7 E7 E-13 E-17 E-5 E-25 E-41 E27
9m1  ,-16:E-9 E-17 E-33 E15 E15 E23 E-29 E-5 E-17
9m1  ,-16:E-9 E-17 E-33 E15 E15 E23 E-29 E-5 E-9
9m2  ,-14:E-9 E7 E7 E-17 E11 E-5 E-65 E-45 E-49
9m2  ,-14:E-9 E7 E7 E-17 E11 E-5 E-65 E-45 E-53
9m2  ,-14:E-9 E7 E7 E-17 E11 E-5 E-65 E-45 E-57
9m2  ,30 :E-9 E7 E7 E-17 E11 E-5 E-65 E43 E35
9m2  ,30 :E-9 E7 E7 E-17 E11 E-5 E-65 E43 E39
9m2  ,30 :E-9 E7 E7 E-17 E11 E-5 E-65 E43 E31
9m2  ,30 :E-9 E7 E7 E-17 E-13 E-17 E-41 E-65 E-33
9m2  ,30 :E-9 E7 E7 E-17 E-13 E-17 E-41 E-65 E-29
9m4  ,-13:E-9 E7 E-17 E11 E-5 E-13 E43 E-25 E-33
9m4  ,-13:E-9 E7 E7 E11 E-13 E-5 E43 E-29 E27
9m4  ,-13:E-9 E7 E-17 E11 E-5 E-13 E43 E-25 E-25
9m4  ,-13:E-9 E7 E7 E-17 E11 E-5 E-65 E43 E-53
9m4  ,-13:E-9 E7 E7 E-17 E11 E-5 E-65 E43 E-61
9m4  ,-13:E-9 E7 E7 E-17 E11 E-5 E-65 E43 E-57
9m4  ,31 :E-9 E7 E7 E-17 E11 E-5 E-65 E-45 E27
9m4  ,31 :E-9 E7 E7 E-17 E11 E-5 E-65 E-45 E31
9m4  ,31 :E-9 E7 E7 E-17 E11 E-5 E-65 E-45 E35
9m5  ,12 :E-9 E-29 E39 E31 E23 E19 E67 E47 E35
9m5  ,12 :E-9 E-29 E39 E31 E23 E19 E67 E47 E51
9m5  ,12 :E-9 E-29 E39 E23 E47 E27 E63 E43 E47
9m5  ,12 :E-9 E-29 E39 E23 E47 E27 E63 E43 E31
9m5  ,12 :E-9 E-29 E39 E43 E19 E35 E3 E39 E39
9m5  ,12 :E-9 E-29 E39 E23 E47 E39 E59 E47 E47
9m5  ,12 :E-9 E-29 E39 E43 E19 E35 E3 E39 E59
9m5  ,12 :E-9 E-29 E39 E43 E19 E35 E3 E39 E47
9m5  ,12 :E-9 E-29 E39 E43 E39 E51 E31 E39 E19
9m5  ,12 :E-9 E-29 E39 E43 E39 E51 E31 E39 E31
9m5  ,12 :E-9 E-29 E39 E43 E39 E51 E31 E39 E39
9m6  ,14 :E-9 E-29 E39 E23 E47 E27 E43 E-25 E47
9m6  ,14 :E-9 E-29 E39 E31 E23 E19 E47 E-25 E67
9m6  ,14 :E-9 E-29 E39 E43 E19 E35 E-25 E3 E43
9m6  ,14 :E-9 E-29 E39 E31 E23 E19 E47 E-25 E51
9m6  ,14 :E-9 E-29 E39 E43 E39 E51 E-25 E31 E19
9m6  ,14 :E-9 E-29 E39 E23 E47 E27 E43 E-25 E63
9m6  ,14 :E-9 E-29 E39 E43 E39 E51 E-25 E31 E35
9m6  ,14 :E-9 E-29 E39 E23 E47 E27 E43 E-25 E51
9m6  ,14 :E-9 E-29 E39 E43 E19 E35 E-25 E3 E59
9m6  ,14 :E-9 E-29 E39 E43 E47 E35 E71 E-25 E67
9m6  ,14 :E-9 E-29 E39 E43 E47 E35 E71 E-25 E59
9m6  ,14 :E-9 E-29 E39 E31 E23 E19 E47 E-25 E55
9m7  ,-8 :E-9 E-29 E-5 E-21 E3 E-5 E15 E3 E3
9m7  ,-8 :E-9 E-29 E-5 E-1 E-5 E7 E-13 E-21 E-41
9m7  ,-8 :E-9 E-29 E-5 E-1 E-5 E7 E-13 E-21 E-33
9m7  ,-8 :E-9 E-29 E-5 E-1 E-5 E7 E-13 E-5 E-5
9m7  ,-8 :E-9 E-29 E-5 E-1 E-5 E7 E-13 E-5 E-25
9m7  ,-8 :E-9 E-29 E-5 E-1 E-5 E7 E-13 E-5 E-13
9m7  ,1  :E-9 E7 E-17 E-33 E11 E19 E3 E-5 E-13
9m7  ,1  :E-9 E7 E-17 E-33 E11 E19 E3 E-5 E-17
9m8  ,-6 :E-9 E-29 E-5 E-1 E-25 E-9 E19 E-41 E15
9m8  ,-6 :E-9 E-29 E-5 E-1 E-25 E-9 E19 E-41 E-1
9m8  ,-6 :E-9 E-29 E-5 E-1 E-5 E7 E-13 E19 E-9
9m8  ,-6 :E-9 E-29 E-5 E-1 E-5 E7 E-13 E19 E-25
9m8  ,15 :E-9 E-29 E39 E43 E47 E71 E-25 E-5 E63
9m8  ,15 :E-9 E-29 E39 E43 E47 E71 E-25 E-5 E59
9m8  ,15 :E-9 E-29 E39 E43 E43 E23 E-25 E-5 E63
9m8  ,15 :E-9 E-29 E39 E43 E43 E23 E-25 E-5 E55
9m10 ,-5 :E-9 E-29 E-5 E-1 E19 E3 E27 E39 E19
9m10 ,-5 :E-9 E-29 E-5 E-1 E19 E3 E27 E39 E15
9m10 ,7  :E-9 E7 E11 E-29 E-5 E-5 E-33 E-25 E-25
9m10 ,7  :E-9 E7 E11 E-29 E-5 E-5 E-33 E-25 E-33
9m10 ,7  :E-9 E7 E11 E-29 E-5 E-5 E-33 E-25 E-45
9m11 ,2  :E-9 E-1 E-1 E19 E-1 E-9 E-5 E23 E-61
9m13 ,9  :E-9 E7 E11 E-29 E-5 E11 E7 E-33 E-29
9m13 ,9  :E-9 E7 E11 E-29 E-5 E11 E7 E-33 E-45
9m13 ,26 :E-9 E-29 E-25 E-25 E-5 E-45 E-25 E11 E-9
9m21 ,12 :E-9 E7 E-21 E-13 E3 E3 E3 E27 E-1
9m28 ,-5 :E-9 E-1 E15 E-5 E-25 E19 E-5 E-21 E-13
9m28 ,-5 :E-9 E-1 E15 E-5 E-25 E19 E-5 E-21 E-17
9m28 ,-5 :E-9 E-1 E15 E-5 E-25 E19 E-5 E-21 E-1
9m31 ,18 :E-9 E-9 E19 E-9 E11 E-5 E7 E-9 E-9
9m31 ,18 :E-9 E-9 E19 E-9 E11 E-5 E7 E-9 E-5
9m31 ,18 :E-9 E-9 E19 E-9 E11 E-5 E7 E-29 E-1
9m31 ,18 :E-9 E-9 E19 E-9 E11 E-5 E7 E-29 E-9

To show that the current reverse caber tosser really can construct anything that slmake can compile, we just have to show that these block moves can reach any location on the Life plane, and then combine these recipes with the cheap two-glider monochromatic block splitter (and other splitters if necessary) to build these four Blockic splitters.

-- Unless someone wants to run a proper search for the actual cheapest monochromatic monoparity recipes that produce each of the four glider types starting from a block, and returning to a block afterwards. It's clear that this can be done somehow, but it would be nice to have an actual working toolkit available.

EDIT: There's an article started about the 329-glider upper limit on the conwaylife.com home page. Am planning to add a bullet list at the bottom of the article, explaining all the steps the mechanism will have to go through to build something big like a Gemini spaceship with 329 gliders.

EDIT2: Turned the detailed summary into a second blog posting.
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Re: Building a reverse caber-tosser

Postby itaibn » June 17th, 2018, 9:57 am

Congratulations on 329 glider universal constructor! Now let's see if we can do it in under 20 gliders.

I don't think this is as ridiculous as it sounds. Look at how low the population for a quadratic growth pattern got, compared to the population of the first breeder. It seems likely to me that some Nick-Gotts-style pattern of carefully interacting switch engine puffers could also exhibit universal construction at a lower glider-count or starting population. These puffers may even emit gliders, as long as there's a distant block-layer to absorb them.

Come to think of it, I have a more concrete suggestion: Why can't the approaching Cordership be replaced by a switch engine puffer? The universal constructor can just clean up the debris later.
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Re: Building a reverse caber-tosser

Postby calcyman » June 17th, 2018, 11:20 am

itaibn wrote:It seems likely to me that some Nick-Gotts-style pattern of carefully interacting switch engine puffers could also exhibit universal construction at a lower glider-count or starting population. These puffers may even emit gliders, as long as there's a distant block-layer to absorb them.


Aha! The distant block-layers are the key here!

I can believe that there exists a 20-glider solution somewhere out there, but I doubt that we'll ever find it. Essentially, it would boil down to finding a low-glider collision which just happens to produce an infinite novelty generator.

itaibn wrote:Come to think of it, I have a more concrete suggestion: Why can't the approaching Cordership be replaced by a switch engine puffer? The universal constructor can just clean up the debris later.


Good idea, although it will require Extrementhusiast to rediscover an analogous reflection reaction which works with the BLSE instead of the 2-engine Cordership.

itaibn wrote:Look at how low the population for a quadratic growth pattern got, compared to the population of the first breeder.


Well, the correct analogue of 'the first breeder' in this case would be a pair of P1 sliding-block memories attached to a Chapman-Greene construction arm; I'd estimate a total cost of maybe 10000 gliders. 329 is impressively lower than this.
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Re: Building a reverse caber-tosser

Postby Jormungant » June 17th, 2018, 7:50 pm

Just a silly question, is there a periodic constraint that disallow to use the following ? If not, I think it might be possible to reduce the need for glider turners and use p120 guns instead. And if we cant, we have 6 glider turners instead of 8 glider turners. I know that life hash loves power of 2, but the "minimal" example might not care.

x = 116, y = 153, rule = LifeHistory
2$4.A$5.2A$4.2A22.A.A$25.D2.2A$25.3D.A$16.A11.D$17.2A8.2D$16.2A$30.3A
$30.A$26.D4.A$16.ED5.2D.2D14.A.A$16.DE5.2D2.2D14.2A$26.2D15.A$20.2D
21.B$20.2D$45.A$45.A.A$33.2A10.2A$33.A.A7.2D$12.A8.B11.A3.B5.2D$12.2A
$11.A.A26.2D5.ED$40.2D5.DE$36.2A5.2A$24.2A9.A.A5.A.A$24.ABA10.A5.A$
24.A$55.2A$55.A.A$55.A39$103.A$101.2A$102.2A$83.2A$84.2A$83.A7.2A$91.
A.A$91.A7.2A11.A$98.2A11.2A$100.A10.A.A$94.2A$93.A.A$95.A38$61.A$61.A
.A$61.2A$30.A$30.ABA10.A5.A$30.2A9.A.A5.A.A$42.2A5.2A$46.2D5.DE$17.A.
A26.2D5.ED$18.2A$18.A8.B11.A3.B5.2D$39.A.A7.2D$39.2A10.2A$51.A.A$51.A
$26.2D$26.2D21.B$32.2D15.A$22.DE5.2D2.2D14.2A$22.ED5.2D.2D14.A.A$32.D
4.A$36.A$36.3A$22.2A$23.2A8.2D$22.A11.D$31.3D.A$31.D2.2A$10.2A22.A.A$
11.2A$10.A!
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