Refactoring DRH's cyclotron with stable components?

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pcallahan
Posts: 508
Joined: April 26th, 2013, 1:04 pm

Re: Refactoring DRH's cyclotron with stable components?

Post by pcallahan » February 27th, 2019, 3:36 am

simsim314 wrote:
EDIT I've also found this during my playing with this interaction. This make clean 4->6 gliders.

Code: Select all

x = 60, y = 61, rule = LifeHistory
11$11.C$12.C$10.3C30$35.2C$34.C2.C$35.C.C2.2C$36.C3.C.C$41.C!
I either missed this the first time or you added it after I read your reply. Anyway, I found it as well (but missed it with gencols because of a 64-bit issue with the old C code that I have now fixed).

I also noticed that the SW output glider collides with the NE input glider. Could that be used to clean up the loaf and boat in another copy of the collision rotating 90 degrees around?

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simsim314
Posts: 1766
Joined: February 10th, 2014, 1:27 pm

Re: Refactoring DRH's cyclotron with stable components?

Post by simsim314 » February 27th, 2019, 3:50 am

dvgrn wrote:I suppose they're kind of suspect, since in this form they produce an extra glider output, just like Herschel-based solutions would.
I definitely see less point in this project when you have duplicators. I've no problems with herschels, my point is that we're trying to kill a bird with atomic weapon. If you have a duplicator, who cares about the N->M gliders reactions?
pcallahan wrote:I also noticed that the SW output glider collides with the NE input glider. Could that be used to clean up the loaf and boat in another copy of the collision rotating 90 degrees around?
I'm afraid the configuration of the SW is not that welcoming. The only thing to do with them as far as I can tell is to erase them with edge eater. The other option would be to somehow combine the output and the input into some circuitry which will cancel itself. Say SL that one the two SW glider are shot, and some additional snark based rerouting of output shot at the constellation to get the input glider.

pcallahan
Posts: 508
Joined: April 26th, 2013, 1:04 pm

Re: Refactoring DRH's cyclotron with stable components?

Post by pcallahan » February 27th, 2019, 5:06 am

Just to convince myself that the SW output glider could be reused in some sense, I thought of the 3-to-5 glider reaction as a 180 degree reflector assisted by two gliders headed NW and SE. Supplying those with period 1414 guns (first I found with the necessary diagonal clearance and phase) I can get 8 gliders output from 4 gliders input. Most of these gliders are on close diagonals, so I don't think there is much chance of reusing them.

Code: Select all

x = 682, y = 414, rule = B3/S23
120bo$120b3o$96bo26bo22bo14b2o$94b3o25b2o20b3o14bo24b2o$68b2o23bo49bo
18b3o6b2o13bo$69bo23b2o48b2o19bo6b2o11bobo20b2o$69bobo112b2o13b2o6bo
31bo$70b2o2b2o37bo85b2o4bobo29b3o11bo$74b2o35b3o91b2o4b2o23bo14b3o$
110bo99bobo23b2o16bo14bo$97b2o11b2o96b3obobo38b2o12b3o$97b2o108bo5b2o
2b2o47bo$153b2o52b2o8b2o47b2o$153b2o2$195b2o68b2o$195b2o49b2o17b2o$
246b2o2$68b2o52b2o32b2o$67bobo16b2o34b2o11b2o20bo25b2o$67bo18bobo46bo
20bo13b2o3b2o6b2o3bo$66b2o20bo47b3o17b2o13bo3bo11bobo$82b2o4b2o48bo29b
3o5b3o9bobo58b2o$82bobo83bo9bo11bo38b2o19bo$84bo33b2o70b2o37bobo15b3o$
75b2o7b2o32bo112bo15bo$75b2o20b2o20b3o109b2o19b2o$98bo22bo131bo$95b3o
36b2o87b2o25b3o$66b2o27bo38b2o87bo26bo$67bo156b3o$66bo54b2o94b2o7bo$
66b2o54bo94b2o$122bobo$66b2o55b2o$66bobo143b2o$67bo144bobo$118b2o94bo$
110bo7b2o94b2o$110b3o$86bo26bo87b2o38bo$84b3o25b2o87b2o36b3o$83bo131bo
22bo258b2o$83b2o19b2o11b2o96b3o20b2o20b2o236b2o$89bo15bo11bo100bo32b2o
7b2o235bo$87b3o15bobo8bo2b4obo20b2o70b2o33bo$86bo19b2o9b2o2bobobo20bo
11bo9bo83bobo$86b2o35b3o20bobo9b3o5b3o29bo48b2o4b2o$122bo24bobo11bo3bo
13b2o17b3o47bo20b2o$117bo4bo25bo3b2o6b2o3b2o13bo20bo46bobo18bo$117bo3b
o30b2o25bo20b2o11b2o34b2o16bobo$118b3o58b2o32b2o52b2o2$89b2o238b2o$70b
2o17b2o49b2o187bobo$70b2o68b2o187bo2$182b2o$69b2o47b2o8b2o52b2o$70bo
47b2o2b2o5bo108b2o$67b3o12b2o38bobob3o96b2o11b2o$67bo14bo16b2o23bobo
99bo$83b3o14bo23b2o4b2o91b3o35b2o$85bo11b3o29bobo4b2o85bo37b2o2b2o$97b
o31bo6b2o13b2o112bobo$128b2o20bobo11b2o6bo19b2o48b2o23bo$150bo13b2o6b
3o18bo49bo23b2o$149b2o24bo14b3o20b2o25b3o$174b2o14bo22bo26bo$214b3o$
216bo7$384b2o3b2o$382b3obo2b2o$381bo4bo$381bo2b2ob4o$380b2obobobo2bo$
381bobobobo$381bobob2o$382bo2$395b2o$386b2o7bo$386b2o5bobo$393b2o7$
383b2o$384bo$381b3o$381bo15$342bo$342b3o$345bo$344b2o3$333b2ob2o$333b
2obo$336bo$336b3o4b2o$334b2o3bo3b2o$333bo2b4o$333b2obo15b2o$334bo2b3o
12bobo$334bo5bo13bo$335b5o14b2o$337bo5$429b3o$429bo$430bo$54bo$54b3o$
30bo26bo22bo14b2o$28b3o25b2o20b3o14bo24b2o$2b2o23bo49bo18b3o6b2o13bo$
3bo23b2o48b2o19bo6b2o11bobo20b2o$3bobo112b2o13b2o6bo31bo$4b2o2b2o37bo
85b2o4bobo29b3o11bo$8b2o35b3o91b2o4b2o23bo14b3o$44bo99bobo23b2o16bo14b
o$31b2o11b2o96b3obobo38b2o12b3o$31b2o108bo5b2o2b2o47bo$87b2o52b2o8b2o
47b2o$87b2o2$129b2o68b2o257bo$129b2o49b2o17b2o239b2o14b5o$180b2o184b2o
73bo13bo5bo$365bo2bo72bobo12b3o2bo$2b2o52b2o32b2o59bo214bobo2b2o69b2o
15bob2o$bobo16b2o34b2o11b2o20bo25b2o31b3o214bo3bobo82b4o2bo$bo18bobo
46bo20bo13b2o3b2o6b2o3bo26b5o218bo78b2o3bo3b2o$2o20bo47b3o17b2o13bo3bo
11bobo24b2o2bo298b2o4b3o$16b2o4b2o48bo29b3o5b3o9bobo20b2o2bob2o30b2o
274bo$16bobo83bo9bo11bo20b2o2b2ob3o8b2o19bo274bob2o$18bo33b2o70b2o21bo
bo13bobo15b3o274b2ob2o$9b2o7b2o32bo99b2o11bo15bo$9b2o20b2o20b3o98bo10b
2o19b2o$32bo22bo95bo35bo262b2o$29b3o36b2o81bo5b2o25b3o263bo$2o27bo38b
2o87bo26bo266b3o$bo156b3o292bo$o54b2o94b2o7bo$2o54bo94b2o$56bobo$57b2o
$146b2o$146bobo$52b2o94bo$44bo7b2o94b2o$44b3o$20bo26bo87b2o38bo$18b3o
25b2o87b2o36b3o$17bo131bo22bo$17b2o19b2o109b3o20b2o20b2o$23bo15bo112bo
32b2o7b2o$21b3o15bobo37b2o70b2o33bo$20bo19b2o38bo11bo9bo83bobo$20b2o
58bobo9b3o5b3o29bo48b2o4b2o$81bobo11bo3bo13b2o17b3o47bo20b2o$82bo3b2o
6b2o3b2o13bo20bo46bobo18bo$86b2o25bo20b2o11b2o34b2o16bobo$113b2o32b2o
52b2o2$23b2o$4b2o17b2o49b2o$4b2o68b2o328bo$280b2o3b2o115b3o$116b2o160b
3obo2b2o114bo$3b2o47b2o8b2o52b2o159bo4bo118b2o$4bo47b2o2b2o5bo108b2o
103bo2b2ob4o$b3o12b2o38bobob3o96b2o11b2o102b2obobobo2bo$bo14bo16b2o23b
obo99bo116bobobobo$17b3o14bo23b2o4b2o91b3o35b2o80bobob2o$19bo11b3o29bo
bo4b2o85bo37b2o2b2o32bo44bo63bo188bo$31bo31bo6b2o13b2o112bobo32bo105b
2o189b3o$62b2o20bobo11b2o6bo19b2o48b2o23bo30b3o56b2o48b2o48b2o114bo26b
o22bo14b2o$84bo13b2o6b3o18bo49bo23b2o79b2o7bo98bobo5b2o105b3o25b2o20b
3o14bo24b2o$83b2o24bo14b3o20b2o25b3o105b2o5bobo98bo7b2o79b2o23bo49bo
18b3o6b2o13bo$108b2o14bo22bo26bo114b2o98b2o89bo23b2o48b2o19bo6b2o11bob
o20b2o$148b3o329bobo112b2o13b2o6bo31bo$150bo252bo77b2o2b2o37bo85b2o4bo
bo29b3o11bo$399b2obobo80b2o35b3o91b2o4b2o23bo14b3o$398bobobobo116bo99b
obo23b2o16bo14bo$395bo2bobobob2o102b2o11b2o96b3obobo38b2o12b3o$395b4ob
2o2bo103b2o108bo5b2o2b2o47bo$279b2o118bo4bo159b2o52b2o8b2o47b2o$280bo
114b2o2bob3o160b2o$277b3o115b2o3b2o$277bo328b2o68b2o$606b2o49b2o17b2o$
657b2o2$479b2o52b2o32b2o59bo$478bobo16b2o34b2o11b2o20bo25b2o31b3o$478b
o18bobo46bo20bo13b2o3b2o6b2o3bo26b5o$477b2o20bo47b3o17b2o13bo3bo11bobo
24b2o2bo$493b2o4b2o48bo29b3o5b3o9bobo20b2o2bob2o30b2o$493bobo83bo9bo
11bo20b2o2b2ob3o8b2o19bo$495bo33b2o70b2o21bobo13bobo15b3o$486b2o7b2o
32bo99b2o11bo15bo$486b2o20b2o20b3o98bo10b2o19b2o$509bo22bo95bo35bo$
304bobo199b3o36b2o81bo5b2o25b3o$304b2o200bo38b2o87bo26bo$305bo329b3o$
532b2o94b2o7bo$533bo94b2o$533bobo144bo$534b2o143bobo$623b2o55b2o$623bo
bo$529b2o94bo54b2o$521bo7b2o94b2o54bo$228bo292b3o156bo$228b3o266bo26bo
87b2o38bo27b2o$231bo263b3o25b2o87b2o36b3o$230b2o262bo131bo22bo$494b2o
19b2o109b3o20b2o20b2o$500bo15bo112bo32b2o7b2o$219b2ob2o274b3o15bobo37b
2o70b2o33bo$219b2obo274bo19b2o38bo11bo9bo83bobo$222bo274b2o58bobo9b3o
5b3o29bo48b2o4b2o$222b3o4b2o327bobo11bo3bo13b2o17b3o47bo20b2o$220b2o3b
o3b2o328bo3b2o6b2o3b2o13bo20bo46bobo18bo$219bo2b4o337b2o25bo20b2o11b2o
34b2o16bobo$219b2obo15b2o350b2o32b2o52b2o$220bo2b3o12bobo$220bo5bo13bo
259b2o$221b5o14b2o239b2o17b2o49b2o$223bo257b2o68b2o2$593b2o$480b2o47b
2o8b2o52b2o$481bo47b2o2b2o5bo108b2o$478b3o12b2o38bobob3o96b2o11b2o$
478bo14bo16b2o23bobo99bo$494b3o14bo23b2o4b2o91b3o35b2o$496bo11b3o29bob
o4b2o85bo37b2o2b2o$508bo31bo6b2o13b2o112bobo$539b2o20bobo11b2o6bo19b2o
48b2o23bo$561bo13b2o6b3o18bo49bo23b2o$560b2o24bo14b3o20b2o25b3o$585b2o
14bo22bo26bo$625b3o$627bo8$344bo$326b2o14b5o$327bo13bo5bo$327bobo12b3o
2bo$328b2o15bob2o$342b4o2bo$337b2o3bo3b2o$337b2o4b3o$345bo$345bob2o$
344b2ob2o3$336b2o$336bo$337b3o$339bo15$300bo$298b3o$297bo$297b2o7$287b
2o$286bobo5b2o$286bo7b2o$285b2o2$299bo$295b2obobo$294bobobobo$291bo2bo
bobob2o$291b4ob2o2bo$295bo4bo$291b2o2bob3o$291b2o3b2o7$465bo$465b3o$
441bo26bo22bo14b2o$439b3o25b2o20b3o14bo24b2o$382bo30b2o23bo49bo18b3o6b
2o13bo$381b2o31bo23b2o48b2o19bo6b2o11bobo20b2o$381bobo30bobo112b2o13b
2o6bo31bo$415b2o2b2o37bo85b2o4bobo29b3o11bo$419b2o35b3o91b2o4b2o23bo
14b3o$455bo99bobo23b2o16bo14bo$442b2o11b2o96b3obobo38b2o12b3o$442b2o
108bo5b2o2b2o47bo$498b2o52b2o8b2o47b2o$498b2o2$540b2o68b2o$540b2o49b2o
17b2o$591b2o2$413b2o52b2o32b2o$412bobo16b2o34b2o11b2o20bo25b2o$412bo
18bobo46bo20bo13b2o3b2o6b2o3bo$411b2o20bo47b3o17b2o13bo3bo11bobo$427b
2o4b2o48bo29b3o5b3o9bobo58b2o$427bobo83bo9bo11bo38b2o19bo$429bo33b2o
70b2o37bobo15b3o$420b2o7b2o32bo112bo15bo$420b2o20b2o20b3o109b2o19b2o$
443bo22bo131bo$440b3o36b2o87b2o25b3o$440bo38b2o87bo26bo$569b3o$466b2o
94b2o7bo$467bo94b2o$467bobo$468b2o$557b2o$557bobo$463b2o94bo54b2o$455b
o7b2o94b2o54bo$455b3o156bo$431bo26bo87b2o38bo27b2o$429b3o25b2o87b2o36b
3o$428bo131bo22bo$428b2o19b2o11b2o96b3o20b2o20b2o$434bo15bo11bo100bo
32b2o7b2o$432b3o15bobo8bo2b4obo20b2o70b2o33bo$431bo19b2o9b2o2bobobo20b
o11bo9bo83bobo$431b2o35b3o20bobo9b3o5b3o29bo48b2o4b2o$467bo24bobo11bo
3bo13b2o17b3o47bo20b2o$462bo4bo25bo3b2o6b2o3b2o13bo20bo46bobo18bo$462b
o3bo30b2o25bo20b2o11b2o34b2o16bobo$463b3o58b2o32b2o52b2o2$434b2o$415b
2o17b2o49b2o$415b2o68b2o2$527b2o$414b2o47b2o8b2o52b2o$415bo47b2o2b2o5b
o108b2o$412b3o12b2o38bobob3o96b2o11b2o$412bo14bo16b2o23bobo99bo$428b3o
14bo23b2o4b2o91b3o35b2o$430bo11b3o29bobo4b2o85bo37b2o2b2o$442bo31bo6b
2o13b2o112bobo$473b2o20bobo11b2o6bo19b2o48b2o23bo$495bo13b2o6b3o18bo
49bo23b2o$494b2o24bo14b3o20b2o25b3o$519b2o14bo22bo26bo$559b3o$561bo!

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Goldtiger997
Posts: 599
Joined: June 21st, 2016, 8:00 am

Re: Refactoring DRH's cyclotron with stable components?

Post by Goldtiger997 » February 27th, 2019, 5:21 am

calcyman wrote:
pcallahan wrote:I am not sure if a gun could be built by adding snarks to it (added: probably not, because the NE glider has to cross the rectifier to get to the collision point) or how interesting that would be anyway.
Using a cycle of four copies of your reaction, you can engineer the gliders to come from infinity (shown here supported by p1512 guns):...

This assembly might be completable using Snarks. (If not, multiple copies of this could be.)
I wasn't able to complete it using only Snarks (I don't think it is possible), but I managed to complete a version that contains two copies of your assembly. Here's a p1512 gun where all the stable components are Snarks, Rectifiers, or blocks:

Code: Select all

x = 2248, y = 1928, rule = B3/S23
957b2o$956bobo$950b2o4bo$948bo2bo2b2ob4o$948b2obobobobo2bo$951bobobobo
$951bobob2o$952bo2$965b2o$956b2o7bo$956b2o5bobo$963b2o7$953b2o$954bo$
951b3o$951bo67$548b2o$547bobo$541b2o4bo$539bo2bo2b2ob4o$539b2obobobobo
2bo$542bobobobo$542bobob2o$543bo2$556b2o$450b2o95b2o7bo484b2o$450bobo
94b2o5bobo484bobo$450bo103b2o485bo7$544b2o$545bo$542b3o$542bo14$924b2o
$517bo405bobo$517bobo397b2o4bo$517b2o396bo2bo2b2ob4o$915b2obobobobo2bo
$918bobobobo$918bobob2o$919bo2$932b2o225b2o$923b2o7bo226bobo$923b2o5bo
bo228bo4b2o$930b2o225b4ob2o2bo2bo$1157bo2bobobobob2o$1160bobobobo$
1161b2obobo$1165bo2$1151b2o$920b2o230bo7b2o$921bo230bobo5b2o$918b3o
232b2o$918bo6$1163b2o$1163bo$1164b3o$1166bo4$584b2o$583bobo$577b2o4bo$
575bo2bo2b2ob4o198bo$575b2obobobobo2bo198b3o$578bobobobo204bo$578bobob
2o204b2o$579bo2$592b2o186b2o$583b2o7bo187bo$583b2o5bobo184b2obo$590b2o
185bo2b3o4b2o$778b2o3bo3b2o$780b4o205b2o3b2o$780bo15b2o189b3obo2b2o$
781b3o12bobo187bo4bo$784bo13bo187bo2b2ob4o$779b5o14b2o185b2obobobo2bo$
580b2o197bo206bobobobo$581bo199bo204bobob2o$578b3o199b2o205bo$578bo$
1000b2o$991b2o7bo$991b2o5bobo$998b2o3$571b2o3b2o$569b3obo2b2o$568bo4bo
$568bo2b2ob4o$567b2obobobo2bo410b2o$568bobobobo414bo$568bobob2o412b3o$
569bo416bo2$582b2o$573b2o7bo$573b2o5bobo$580b2o7$570b2o$527bo43bo$527b
3o38b3o$530bo37bo662bo$529b2o698bobo$936bob2o290b2o$936b2obo$518b2ob2o
$518b2obo412b5o$521bo390b2o20bo4bo2b2o$521b3o4b2o383bo23bo2bo2bo$519b
2o3bo3b2o383bobo21b2obobo$518bo2b4o389b2o18bo5bob2o$518b2obo15b2o394bo
bo4bo$519bo2b3o12bobo393bo2bo2b2o$519bo5bo13bo394b2o81bo$520b5o14b2o
362b2o94b2o14b5o$522bo381bo95bo13bo5bo$904bobo93bobo12b3o2bo$905b2o94b
2o15bob2o$1015b4o2bo$923b2o85b2o3bo3b2o$923b2o85b2o4b3o$1018bo27b2o$
1018bob2o24bo$1017b2ob2o26bo$1028b2o14b5o$1029bo13bo$1009b2o18bobo12b
3o$1009bo20b2o15bo$1010b3o31b4o$1012bo26b2o3bo3b2o$1039b2o4b3o2bo$
1047bob2o$914bo132bo$913bobo130b2o$913bobo$914bo$1038b2o$1038bo$1039b
3o$1041bo2$790bo23b2o$790b3o21bobo$793bo22bo4b2o$792b2o18b4ob2o2bo2bo$
812bo2bobobobob2o$815bobobobo$784b2o30b2obobo$784bo20b2o13bo$781b2obo
20bo$781bo2b3o4b2o14bo$782b2o3bo3b2o13b2o7b2o$784b4o16bo2bobo5b2o$784b
o15b2o2b2o2b2o$785b3o12bobobo$788bo13bo2bo$783b5o14b3o2bo68b2o$561b2ob
o218bo21b3o68b2o$561bob2o220bo18bo$725b2o57b2o18b2o$562b5o158bo92b2o$
557b2o2bo4bo160bo90bo$557bo2bo2bo143b2o14b5o91b3o$558bobob2o144bo13bo
98bo$557b2obo5bo141bobo12b3o$560bo4bobo141b2o15bo$560b2o2bo2bo155b4o
67b2o$478bo86b2o151b2o3bo3b2o64bobo5b2o$478b3o179b2o56b2o4b3o2bo63bo7b
2o$481bo178bo65bob2o62b2o$480b2o180bo63bo$642b2o14b5o62b2o79bo$643bo
13bo144b2obobo$472b2o169bobo12b3o140bobobobo$472bo171b2o15bo55b2o79bo
2bobobobob2o$469b2obo185b4o55bo80b4ob2o2bo2bo$469bo2b3o4b2o92b2o78b2o
3bo3b2o54b3o81bo4b2o$470b2o3bo3b2o92b2o78b2o4b3o2bo55bo79bobo$472b4o
185bob2o135b2o$472bo15b2o171bo$473b3o12bobo169b2o$476bo13bo345bo8b2o8b
o$471b5o14b2o329bo14bobo6b2o6bobo$471bo180b2o167b3o12b2o16b2o$473bo
178bo171bo89bo$472b2o89b2o22b2o64b3o167b2o90bo$564bo21bo2bo65bo257b3o$
561b3o23b2o$561bo20b2o231b2o112bo$581b2o232bo111b3o$583bo228b2obo110bo
$812bo2b3o4b2o102b2o$813b2o3bo3b2o$815b4o$570b2o243bo15b2o$571bo244b3o
12bobo$568b3o248bo13bo$568bo245b5o14b2o$814bo101b2o$816bo98bobo5b2o$
815b2o98bo7b2o$914b2o2$928bo$924b2obobo$923bobobobo$920bo2bobobobob2o$
920b4ob2o2bo2bo$924bo4b2o$700b2o107bob2o109bobo$700bobo106b2obo109b2o$
702bo4b2o$698b4ob2o2bo2bo96b5o$698bo2bobobobob2o96bo4bo2b2o331b2o$701b
obobobo102bo2bo2bo330bobo$702b2obobo102b2obobo325b2o4bo$706bo100bo5bob
2o322bo2bo2b2ob4o$806bobo4bo325b2obobobobo2bo$692b2o112bo2bo2b2o328bob
obobo$693bo7b2o104b2o333bobob2o$693bobo5b2o440bo$694b2o$1156b2o$610b2o
535b2o7bo$610b2o327bo207b2o5bobo$939b2o213b2o$938bobo2$704b2o93b2o$
704bo94b2o$705b3o$707bo$1144b2o$1145bo$1142b3o$1142bo2$785b2o22b2o$
784bo2bo21bo72bo$785b2o23b3o67b3o$812bo66bo$879b2o2$660bobo$661b2o224b
2o$661bo226bo$802b2o84bob2o$802bo77b2o4b3o2bo$803b3o74b2o3bo3b2o$805bo
79b4o$871b2o15bo$870bobo12b3o$870bo13bo$869b2o14b5o48bo$635b2o137bo
114bo46b3o$635b2o136b2o112bo47bo$773bobo111b2o46b2o7$925b2o$924bobo5b
2o$924bo7b2o$651bo271b2o$649b3o143b2o$648bo139bo6b2o140bo$648b2o137b3o
143b2obobo$786b4o142bobobobo$929bo2bobobobob2o$929b4ob2o2bo2bo$786b4o
143bo4b2o253b2o$576bo209b4o141bobo259bobo$577bo209bo143b2o260bo$575b3o
20b2o38b2o$599bo37bobo5b2o$597bo39bo7b2o$597b5o14b2o18b2o188b2o$602bo
13bo186b2o20bobo$599b3o12bobo33bo152b2o22bo$548b2o48bo15b2o30b2obobo
155b2o$547bobo48b4o43bobobobo154b2obo$549bo46b2o3bo3b2o35bo2bobobobob
2o12b2obo135bo3bo$595bo2b3o4b2o35b4ob2o2bo2bo12bob2o137b2o3bo$595b2obo
47bo4b2o155b2o3b2o$598bo45bobo21b5o115bo10b3ob2o8bobo$598b2o44b2o17b2o
2bo4bo20b2o92b3o9bo5bobo7bobo$663bo2bo2bo23bo93bo2bo8bo4b2o6b2o4bo$
628b2o34bobob2o21bobo92bobobo9bo10bo6bo$606b2o20bo34b2obo5bo18b2o93bob
ob2o19bo$607bo22bo35bo4bobo112bo4bo20bo$604b3o3b2o14b5o35b2o2bo2bo114b
2o23bo$602bo2bo5bo13bo45b2o131b2o$602b2o3bobobobo12b3o73b2o93b2o4bobo$
606b3obob2o15bo72bo93bo2bo2bobo$610bo15b4o70bobo93bobo4bo$608b3o10b2o
3bo3b2o68b2o95bo$607bo13b2o4b3o2bo$607b2o20bob2o49b2o$629bo52b2o$628b
2o3$620b2o$620bo$597b2o22b3o$596bobo5b2o17bo$596bo7b2o$595b2o2$609bo$
605b2obobo81bo$604bobobobo80bobo$601bo2bobobobob2o77bobo$601b4ob2o2bo
2bo78bo$605bo4b2o$603bobo$603b2o8$950b2o$949bobo$943b2o4bo$862bo78bo2b
o2b2ob4o$861bobo77b2obobobobo2bo$861bobo80bobobobo$862bo81bobob2o$945b
o2$958b2o$949b2o7bo$931bo17b2o5bobo$931b3o22b2o$934bo$933b2o$803b2o$
802bo2bo$803bobo2b2o115b2o$804bo3bobo60b2o52bo$809bo61b2o49b2obo20b2o$
922bo2b3o4b2o13bo$756b3o94b2o68b2o3bo3b2o10b3o$755b5o92bobo70b4o15bo$
754bo5bo91bo72bo15b2obob3o$754bo4bo91b2o73b3o12bobobobo3b2o$759bo122b
2o45bo13bo5bo2bo$757bo123bo2bo2b2o35b5o14b2o3b3o$881bobo4bo35bo22bo$
862b2o18bo5bob2o34bo20b2o$753b2o106bobo21b2obobo34b2o$861bo23bo2bo2bo$
860b2o20bo4bo2b2o17b2o44b2o$882b5o21bobo45bo$902b2o4bo47bob2o$884b2obo
12bo2bo2b2ob4o35b2o4b3o2bo$884bob2o12b2obobobobo2bo35b2o3bo3b2o$903bob
obobo43b4o$903bobob2o30b2o15bo$904bo33bobo12b3o$938bo13bo$917b2o18b2o
14b5o461b2o$908b2o7bo39bo461bobo$908b2o5bobo37bo463bo$915b2o38b2o$622b
2o$621bobo$615b2o4bo$613bo2bo2b2ob4o$613b2obobobobo2bo$616bobobobo$
616bobob2o283b2o$617bo288bo$903b3o$630b2o271bo$621b2o7bo$621b2o5bobo$
628b2o7$618b2o46b2o$619bo47bo250b2o$616b3o46bo252b2o$616bo48b5o14b2o$
139bo530bo13bo88bobo$139bobo525b3o12bobo88b2o$139b2o525bo15b2o90bo$
666b4o79bo$664b2o3bo3b2o74b3o$663bo2b3o4b2o77bo$663b2obo84b2o$666bo
158b2o$666b2o157bobo$825bo2$674b2o$675bo66bo$672b3o67b3o23b2o$672bo72b
o21bo2bo$744b2o22b2o6$847bo$847b3o$754b2o94bo$754b2o93b2o4$738bo204b2o
$736b2o205b2o$737b2o$859b2o$852b2o5bobo$746b2o104b2o7bo$741b2o2bo2bo
112b2o$741bo4bobo$738b2obo5bo100bo$739bobob2o102bobob2o$738bo2bo2bo
102bobobobo$738b2o2bo4bo96b2obobobobo2bo$743b5o96bo2bo2b2ob4o$846b2o4b
o$631b2o109bob2o106bobo$630bobo109b2obo107b2o$624b2o4bo$622bo2bo2b2ob
4o$622b2obobobobo2bo$625bobobobo$625bobob2o$626bo2$639b2o$630b2o7bo98b
2o$630b2o5bobo98bo$637b2o101bo$720b2o14b5o245bo$721bo13bo248b3o$721bob
o12b3o244bo$722b2o15bo243b2o$736b4o$731b2o3bo3b2o$627b2o102b2o4b3o2bo$
628bo110bob2o$625b3o111bo$625bo112b2o253bo$966b2o23b3o$899bo65bo2bo21b
o$730b2o167b3o64b2o22b2o89b2o$730bo171bo178bo$731b3o167b2o180bo$708b2o
23bo329b2o14b5o$708b2o354bo13bo$893b2o20bo148bobo12b3o$893bo19bobo149b
2o15bo$753b2o135b2obo20b2o163b4o$752bobo79bo55bo2b3o4b2o78b2o92b2o3bo
3b2o$746b2o4bo81b3o54b2o3bo3b2o78b2o92b2o4b3o2bo$744bo2bo2b2ob4o80bo
55b4o185bob2o$744b2obobobobo2bo79b2o55bo15b2o171bo$747bobobobo140b3o
12bobo169b2o$747bobob2o144bo13bo$748bo79b2o62b5o14b2o$828bo63bo180b2o$
761b2o62b2obo65bo178bo$752b2o7bo63bo2b3o4b2o56b2o179b3o$752b2o5bobo64b
2o3bo3b2o151b2o86bo532bo$759b2o67b4o155bo2bo2b2o612bobo$828bo15b2o141b
obo4bo613b2o$829b3o12bobo141bo5bob2o$733bo98bo13bo144b2obobo$733b3o91b
5o14b2o143bo2bo2bo$736bo90bo160bo4bo2b2o$735b2o92bo158b5o$749b2o18b2o
57b2o$511bo238bo18bo220b2obo$511bobo163b2o68b3o21bo218bob2o$511b2o164b
2o68bo2b3o14b5o$749bo2bo13bo$750bobobo12b3o$745b2o2b2o2b2o15bo78bo$
738b2o5bobo2bo16b4o76bobo$738b2o7b2o13b2o3bo3b2o75b2o$747bo14b2o4b3o2b
o$749bo20bob2o$734bo13b2o20bo$733bobob2o30b2o$733bobobobo$730b2obobobo
bo2bo$730bo2bo2b2ob4o18b2o$732b2o4bo22bo$738bobo21b3o$739b2o23bo2$513b
o$513b3o$516bo$9bo505b2o$9b3o628bo$12bo626bobo$11b2o494b2o130bobo$507b
o132bo$504b2obo$3b2o499bo2b3o4b2o$3bo501b2o3bo3b2o26bo$2obo503b4o31b3o
$o2b3o4b2o495bo15b2o20bo$b2o3bo3b2o496b3o12bobo18b2o$3b4o504bo13bo$3bo
15b2o485b5o14b2o$4b3o12bobo484bo26b2ob2o$7bo13bo486bo24b2obo$2b5o14b2o
484b2o27bo$2bo533b3o4b2o85b2o$4bo529b2o3bo3b2o85b2o$3b2o528bo2b4o$533b
2obo15b2o94b2o$534bo2b3o12bobo93bobo$534bo5bo13bo95bo381bo$535b5o14b2o
47bo46b2o362b2o14b5o$537bo65b2o14b2o394bo13bo5bo$602bobo9b2o2bo2bo393b
obo12b3o2bo$614bo4bobo394b2o15bob2o$611b2obo5bo18b2o389b4o2bo$612bobob
2o21bobo383b2o3bo3b2o$611bo2bo2bo23bo383b2o4b3o$611b2o2bo4bo20b2o390bo
$616b5o412bob2o$1032b2ob2o$615bob2o$615b2obo$1024b2o$986bo37bo$984b3o
38b3o$983bo43bo$983b2o4$982bo$981b3o$538bo443b2o$538bobo432b2o$538b2o
432bobo5b2o$972bo7b2o$971b2o2$568bo416bo$566b3o412b2obobo$565bo414bobo
bobo$565b2o410bo2bobobob2o$977b4ob2o2bo$981bo4bo$977b2o2bob3o$977b2o3b
2o3$555b2o$554bobo5b2o$554bo7b2o$553b2o$976bo$567bo406b3o$563b2obobo
404bo$562bobobobo404b2o$559bo2bobobob2o$559b4ob2o2bo399bobo$563bo4bo
400b2o$559b2o2bob3o401bo$559b2o3b2o2$963b2o$962bobo5b2o$962bo7b2o$961b
2o2$975bo$971b2obobo$970bobobobo$967bo2bobobobob2o$967b4ob2o2bo2bo$
971bo4b2o$969bobo$969b2o13$636bo$634b3o$633bo$633b2o2$627b2o$630b3o$
625bo4bo2b2obo$628bo4b5o$628bo2b4ob2o$623bo3b2o5b2o$622bob2o3b2ob2o$
622bo6bobobo$621b2o$630b3o$631b2o2bo$631b2obobo$630bobobobo$627bo2bobo
bobob2o$627b4ob2o2bo2bo$631bo4b2o$629bobo$629b2o14$831b2o$831bobo$831b
o4$1571b2o$1571bobo$1571bo7$170b2o$169bobo$171bo15$308bo$308b3o$311bo$
310b2o3$302b2o$302bo$299b2obo$299bo2b3o4b2o$300b2o3bo3b2o$302b4o$302bo
15b2o$303b3o12bobo$306bo13bo$301b5o14b2o$301bo$303bo$302b2o10$113b2o$
114bo$112bo$112b5o14b2o$117bo13bo$114b3o12bobo1159b2o$113bo15b2o1159bo
bo$113b4o1175bo$111b2o3bo3b2o$110bo2b3o4b2o$110b2obo$113bo$113b2o3$
121b2o$122bo$119b3o$119bo22$1797b2o$1797bobo$1797bo20$1227bo$1225b3o$
1224bo$1224b2o$261bo$259bobo$260b2o4$1214b2o$1213bobo5b2o$1213bo7b2o$
1212b2o2$1226bo$1222b2obobo$1221bobobobo$1218bo2bobobobob2o$1218b4ob2o
2bo2bo$1222bo4b2o$1220bobo$1220b2o68$1987bo$1985bobo$1986b2o6$487bo$
485bobo$486b2o4$1227bo$1225bobo$1226b2o45$1026b2o$1025bobo$1019b2o4bo$
1017bo2bo2b2ob4o$1017b2obobobobo2bo$1020bobobobo$1020bobob2o$1021bo2$
1034b2o$1025b2o7bo$1025b2o5bobo$1032b2o2$160bo$160bobo$160b2o3$1022b2o
$1023bo$1020b3o$1020bo22$1897b2o$1896bobo$1898bo20$2128bo$2126b3o$
2125bo$2125b2o3$2133b2o$2134bo$2134bob2o$2126b2o4b3o2bo$2126b2o3bo3b2o
$2131b4o$2117b2o15bo$2116bobo12b3o$2116bo13bo$2115b2o14b5o$2135bo$
2133bo$2133b2o10$1944b2o$1944bo$1946bo$1926b2o14b5o$1927bo13bo$1927bob
o12b3o$1928b2o15bo$1942b4o$1937b2o3bo3b2o$1937b2o4b3o2bo$1945bob2o$
1209b2o734bo$1209bobo732b2o$1209bo2$1936b2o$1924b2o10bo$1923bobo11b3o$
1925bo13bo7$449b2o$449bobo$449bo11$1143b2o$1143bobo$1143bo24$1617b2o$
1616bobo$1610b2o4bo$1608bo2bo2b2ob4o$1608b2obobobobo2bo$1611bobobobo$
1611bobob2o$1612bo2$1625b2o$1616b2o7bo$1616b2o5bobo$1623b2o7$1613b2o$
1614bo$1611b3o$1611bo13$1277b2o$1276bobo$1270b2o4bo$1268bo2bo2b2ob4o$
1268b2obobobobo2bo$1271bobobobo$1271bobob2o$1272bo2$1285b2o$1276b2o7bo
$1276b2o5bobo$1283b2o890b2o$2175bobo$1682b2o3b2o486bo$1680b3obo2b2o$
1679bo4bo$1679bo2b2ob4o$1678b2obobobo2bo$1273b2o404bobobobo$1274bo404b
obob2o$1271b3o406bo$1271bo$1693b2o$1684b2o7bo$1684b2o5bobo$1691b2o3$
1264b2o3b2o$1262b3obo2b2o$1261bo4bo$1261bo2b2ob4o$1260b2obobobo2bo410b
2o$1261bobobobo414bo$1261bobob2o412b3o$1262bo416bo2$639bo635b2o$637bob
o626b2o7bo$638b2o626b2o5bobo$1273b2o7$1263b2o$1220bo43bo$1220b3o38b3o$
1223bo37bo$1222b2o$1629bob2o$1629b2obo$1211b2ob2o$1211b2obo412b5o$
1214bo390b2o20bo4bo2b2o$1214b3o4b2o383bo23bo2bo2bo$1212b2o3bo3b2o383bo
bo21b2obobo$1211bo2b4o389b2o18bo5bob2o$1211b2obo15b2o394bobo4bo$1212bo
2b3o12bobo393bo2bo2b2o$1212bo5bo13bo394b2o81bo$1213b5o14b2o362b2o94b2o
14b5o$1215bo381bo95bo13bo5bo$1597bobo93bobo12b3o2bo$1598b2o94b2o15bob
2o$1708b4o2bo528b2o$1616b2o85b2o3bo3b2o529bo$1616b2o85b2o4b3o533bo$
1711bo27b2o484b2o14b5o$1711bob2o24bo486bo13bo$766bo943b2ob2o26bo484bob
o12b3o$766bobo952b2o14b5o485b2o15bo$766b2o954bo13bo504b4o$1702b2o18bob
o12b3o496b2o3bo3b2o$1702bo20b2o15bo495b2o4b3o2bo$1703b3o31b4o503bob2o$
1705bo26b2o3bo3b2o501bo$1732b2o4b3o2bo499b2o$1740bob2o$1607bo132bo$
1606bobo130b2o494b2o$1606bobo626bo$1607bo628b3o$1731b2o505bo$1731bo$
1732b3o$1734bo2$1483bo23b2o$1483b3o21bobo$1486bo22bo4b2o$1485b2o18b4ob
2o2bo2bo$1505bo2bobobobob2o$1508bobobobo$1477b2o30b2obobo$1477bo20b2o
13bo$1474b2obo20bo$1474bo2b3o4b2o14bo$1475b2o3bo3b2o13b2o7b2o$1477b4o
16bo2bobo5b2o$1477bo15b2o2b2o2b2o$1478b3o12bobobo$1481bo13bo2bo$1476b
5o14b3o2bo68b2o$1254b2obo218bo21b3o68b2o$1254bob2o220bo18bo$1418b2o57b
2o18b2o$1255b5o158bo92b2o$1250b2o2bo4bo160bo90bo$1250bo2bo2bo143b2o14b
5o91b3o$1251bobob2o144bo13bo98bo$1250b2obo5bo141bobo12b3o$1253bo4bobo
141b2o15bo$1253b2o2bo2bo155b4o67b2o$1171bo86b2o151b2o3bo3b2o64bobo5b2o
$1171b3o179b2o56b2o4b3o2bo63bo7b2o$1174bo178bo65bob2o62b2o$1173b2o180b
o63bo$1335b2o14b5o62b2o79bo$1336bo13bo144b2obobo$1165b2o169bobo12b3o
140bobobobo386bo$1165bo171b2o15bo55b2o79bo2bobobobob2o383bobo$1162b2ob
o185b4o55bo80b4ob2o2bo2bo383b2o$1162bo2b3o4b2o92b2o78b2o3bo3b2o54b3o
81bo4b2o$1163b2o3bo3b2o92b2o78b2o4b3o2bo55bo79bobo$1165b4o185bob2o135b
2o$1165bo15b2o171bo$1166b3o12bobo169b2o$1169bo13bo345bo8b2o8bo$865bo
298b5o14b2o329bo14bobo6b2o6bobo$863bobo298bo180b2o167b3o12b2o16b2o$
864b2o300bo178bo171bo89bo$1165b2o89b2o22b2o64b3o167b2o90bo$1257bo21bo
2bo65bo257b3o$1254b3o23b2o$1254bo20b2o231b2o112bo$1274b2o232bo111b3o$
1276bo228b2obo110bo$1505bo2b3o4b2o102b2o$1506b2o3bo3b2o$1508b4o$1263b
2o243bo15b2o$1264bo244b3o12bobo$1261b3o248bo13bo$1261bo245b5o14b2o$
1507bo101b2o$1509bo98bobo5b2o$1508b2o98bo7b2o$1607b2o2$1621bo$1617b2ob
obo$1616bobobobo$1613bo2bobobobob2o$1613b4ob2o2bo2bo$1617bo4b2o$1393b
2o107bob2o109bobo$1393bobo106b2obo109b2o$1395bo4b2o$1391b4ob2o2bo2bo
96b5o$1391bo2bobobobob2o96bo4bo2b2o$1394bobobobo102bo2bo2bo$1395b2obob
o102b2obobo$1399bo100bo5bob2o$1499bobo4bo$1385b2o112bo2bo2b2o$1386bo7b
2o104b2o$1386bobo5b2o$1387b2o2$1303b2o$1303b2o327bo$1632b2o$1631bobo2$
1397b2o93b2o$1397bo94b2o$1398b3o$1400bo6$1478b2o22b2o$1477bo2bo21bo72b
o$1478b2o23b3o67b3o$1505bo66bo$1572b2o2$1353bobo$1354b2o224b2o$1354bo
226bo$1495b2o84bob2o$1495bo77b2o4b3o2bo$1496b3o74b2o3bo3b2o$1498bo79b
4o$1564b2o15bo$1563bobo12b3o$1563bo13bo$1562b2o14b5o48bo$1328b2o137bo
114bo46b3o$1328b2o136b2o112bo47bo$1466bobo111b2o46b2o7$1618b2o$1617bob
o5b2o$1617bo7b2o$1344bo271b2o$1342b3o143b2o$1341bo139bo6b2o140bo$1341b
2o137b3o143b2obobo$1479b4o142bobobobo$1622bo2bobobobob2o$1622b4ob2o2bo
2bo$1479b4o143bo4b2o$1269bo209b4o141bobo$1270bo209bo143b2o$1268b3o20b
2o38b2o$1292bo37bobo5b2o$1290bo39bo7b2o$1290b5o14b2o18b2o188b2o$1295bo
13bo186b2o20bobo$1292b3o12bobo33bo152b2o22bo$1241b2o48bo15b2o30b2obobo
155b2o$1240bobo48b4o43bobobobo154b2obo$1242bo46b2o3bo3b2o35bo2bobobobo
b2o12b2obo135bo3bo$1288bo2b3o4b2o35b4ob2o2bo2bo12bob2o137b2o3bo$1288b
2obo47bo4b2o155b2o3b2o$1291bo45bobo21b5o115bo10b3ob2o8bobo$1291b2o44b
2o17b2o2bo4bo20b2o92b3o9bo5bobo7bobo$1356bo2bo2bo23bo93bo2bo8bo4b2o6b
2o4bo$1321b2o34bobob2o21bobo92bobobo9bo10bo6bo$1299b2o20bo34b2obo5bo
18b2o93bobob2o19bo$1300bo22bo35bo4bobo112bo4bo20bo$1297b3o3b2o14b5o35b
2o2bo2bo114b2o23bo$1295bo2bo5bo13bo45b2o131b2o$1295b2o3bobobobo12b3o
73b2o93b2o4bobo$1299b3obob2o15bo72bo93bo2bo2bobo$1303bo15b4o70bobo93bo
bo4bo$1301b3o10b2o3bo3b2o68b2o95bo$1300bo13b2o4b3o2bo$1300b2o20bob2o
49b2o$1322bo52b2o$1321b2o3$1313b2o$1313bo$1290b2o22b3o$1289bobo5b2o17b
o$1289bo7b2o$1288b2o2$1302bo$1298b2obobo81bo$1297bobobobo80bobo$1294bo
2bobobobob2o77bobo$1294b4ob2o2bo2bo78bo$1298bo4b2o$1296bobo$1296b2o8$
1643b2o$1642bobo$1636b2o4bo$1555bo78bo2bo2b2ob4o$1554bobo77b2obobobobo
2bo$1554bobo80bobobobo$1555bo81bobob2o$1638bo2$1651b2o$1642b2o7bo$
1624bo17b2o5bobo$1624b3o22b2o$1627bo$1626b2o$1496b2o$1495bo2bo$1496bob
o2b2o115b2o$1497bo3bobo60b2o52bo$1502bo61b2o49b2obo20b2o$1615bo2b3o4b
2o13bo$1449b3o94b2o68b2o3bo3b2o10b3o$1448b5o92bobo70b4o15bo$1447bo5bo
91bo72bo15b2obob3o$1447bo4bo91b2o73b3o12bobobobo3b2o$1452bo122b2o45bo
13bo5bo2bo$1450bo123bo2bo2b2o35b5o14b2o3b3o$827b2o745bobo4bo35bo22bo$
827bobo725b2o18bo5bob2o34bo20b2o$827bo618b2o106bobo21b2obobo34b2o$
1554bo23bo2bo2bo$1553b2o20bo4bo2b2o17b2o44b2o$1575b5o21bobo45bo$1595b
2o4bo47bob2o$1577b2obo12bo2bo2b2ob4o35b2o4b3o2bo$1577bob2o12b2obobobob
o2bo35b2o3bo3b2o$1596bobobobo43b4o$1596bobob2o30b2o15bo$1597bo33bobo
12b3o$1631bo13bo$1610b2o18b2o14b5o$1601b2o7bo39bo$1601b2o5bobo37bo$
1608b2o38b2o$1315b2o$1314bobo$1308b2o4bo$1306bo2bo2b2ob4o$1306b2obobob
obo2bo$1309bobobobo$1309bobob2o283b2o$1310bo288bo$1596b3o$1323b2o271bo
$1314b2o7bo$1314b2o5bobo$1321b2o7$1311b2o46b2o$1312bo47bo250b2o$1309b
3o46bo252b2o$1309bo48b5o14b2o$1363bo13bo88bobo$1360b3o12bobo88b2o$
1359bo15b2o90bo$1359b4o79bo$1357b2o3bo3b2o74b3o$1356bo2b3o4b2o77bo$
1356b2obo84b2o$1359bo158b2o$1359b2o157bobo$1518bo2$1367b2o$1368bo66bo$
1365b3o67b3o23b2o$1365bo72bo21bo2bo$1437b2o22b2o2$1105bo$1103b3o$1102b
o$1102b2o$1540bo$1540b3o$1447b2o94bo$1447b2o93b2o3$1092b2o$1091bobo5b
2o330bo204b2o$1091bo7b2o328b2o205b2o$1090b2o338b2o$1552b2o$1104bo440b
2o5bobo$1100b2obobo333b2o104b2o7bo$1099bobobobo328b2o2bo2bo112b2o$
1096bo2bobobobob2o325bo4bobo$1096b4ob2o2bo2bo322b2obo5bo100bo$1100bo4b
2o325bobob2o102bobob2o$1098bobo330bo2bo2bo102bobobobo$1098b2o331b2o2bo
4bo96b2obobobobo2bo$1436b5o96bo2bo2b2ob4o$1539b2o4bo$1324b2o109bob2o
106bobo$1323bobo109b2obo107b2o$1317b2o4bo$1315bo2bo2b2ob4o590b2o$1315b
2obobobobo2bo589bobo$1318bobobobo594bo$1318bobob2o$1319bo2$1332b2o$
1323b2o7bo98b2o$1323b2o5bobo98bo$1330b2o101bo$1413b2o14b5o245bo$1414bo
13bo248b3o$1414bobo12b3o244bo$1415b2o15bo243b2o$1429b4o$1424b2o3bo3b2o
$1320b2o102b2o4b3o2bo$1321bo110bob2o$1318b3o111bo$1318bo112b2o253bo$
1659b2o23b3o$1592bo65bo2bo21bo$1423b2o167b3o64b2o22b2o89b2o$1423bo171b
o178bo$1424b3o167b2o180bo$1401b2o23bo329b2o14b5o$1401b2o354bo13bo$
1017bo568b2o20bo148bobo12b3o$1015bobo568bo19bobo149b2o15bo$1016b2o428b
2o135b2obo20b2o163b4o$1445bobo79bo55bo2b3o4b2o78b2o92b2o3bo3b2o$1439b
2o4bo81b3o54b2o3bo3b2o78b2o92b2o4b3o2bo$1437bo2bo2b2ob4o80bo55b4o185bo
b2o$1437b2obobobobo2bo79b2o55bo15b2o171bo$1440bobobobo140b3o12bobo169b
2o$1440bobob2o144bo13bo$1441bo79b2o62b5o14b2o$1521bo63bo180b2o$1454b2o
62b2obo65bo178bo$1445b2o7bo63bo2b3o4b2o56b2o179b3o$1445b2o5bobo64b2o3b
o3b2o151b2o86bo$1452b2o67b4o155bo2bo2b2o$1521bo15b2o141bobo4bo$1522b3o
12bobo141bo5bob2o$1426bo98bo13bo144b2obobo$1426b3o91b5o14b2o143bo2bo2b
o$1429bo90bo160bo4bo2b2o$1428b2o92bo158b5o$1442b2o18b2o57b2o$1204bo
238bo18bo220b2obo$1204bobo163b2o68b3o21bo218bob2o$1204b2o164b2o68bo2b
3o14b5o$1442bo2bo13bo$1443bobobo12b3o$1438b2o2b2o2b2o15bo78bo$1431b2o
5bobo2bo16b4o76bobo$1431b2o7b2o13b2o3bo3b2o75b2o$1440bo14b2o4b3o2bo$
1442bo20bob2o$1427bo13b2o20bo$1426bobob2o30b2o$1426bobobobo$1423b2obob
obobo2bo$1423bo2bo2b2ob4o18b2o$1425b2o4bo22bo$1431bobo21b3o$1432b2o23b
o2$1206bo$1206b3o$1209bo$1208b2o$1333bo$1332bobo$1200b2o130bobo$1200bo
132bo$1197b2obo$1197bo2b3o4b2o$1198b2o3bo3b2o26bo$1200b4o31b3o$1200bo
15b2o20bo$1201b3o12bobo18b2o$1204bo13bo$1199b5o14b2o$1199bo26b2ob2o$
1201bo24b2obo$1200b2o27bo$1229b3o4b2o85b2o$1227b2o3bo3b2o85b2o$1226bo
2b4o$1226b2obo15b2o94b2o$1227bo2b3o12bobo93bobo$1227bo5bo13bo95bo381bo
$1228b5o14b2o47bo46b2o362b2o14b5o$1230bo65b2o14b2o394bo13bo5bo$1295bob
o9b2o2bo2bo393bobo12b3o2bo$1307bo4bobo394b2o15bob2o$1304b2obo5bo18b2o
389b4o2bo$1305bobob2o21bobo383b2o3bo3b2o$1304bo2bo2bo23bo383b2o4b3o$
1304b2o2bo4bo20b2o390bo$1309b5o412bob2o$1725b2ob2o$1308bob2o$1308b2obo
$1717b2o$1679bo37bo$1677b3o38b3o$1676bo43bo$1676b2o4$1675bo$1674b3o$
1231bo443b2o$1231bobo432b2o$1231b2o432bobo5b2o$1665bo7b2o$1664b2o2$
1261bo416bo$1259b3o412b2obobo$1258bo414bobobobo$1258b2o410bo2bobobob2o
$1670b4ob2o2bo$1674bo4bo$1670b2o2bob3o$1670b2o3b2o3$1248b2o$1247bobo5b
2o$1247bo7b2o$1246b2o$1669bo$1260bo205b2o199b3o$1256b2obobo204bo199bo$
1255bobobobo206bo197b2o$1252bo2bobobob2o185b2o14b5o$1252b4ob2o2bo187bo
13bo197bobo$1256bo4bo187bobo12b3o195b2o$1252b2o2bob3o189b2o15bo194bo$
1252b2o3b2o205b4o$1459b2o3bo3b2o$1459b2o4b3o2bo185b2o$1467bob2o184bobo
5b2o$1467bo187bo7b2o$1466b2o186b2o2$1668bo$1458b2o204b2obobo$1458bo
204bobobobo$1459b3o198bo2bobobobob2o$1461bo198b4ob2o2bo2bo$1664bo4b2o$
1662bobo$1662b2o4$1081bo$1081b3o$1084bo$1083b2o6$1329bo$1093b2o232b3o$
1086b2o5bobo230bo$1086b2o7bo230b2o$1095b2o$1320b2o$1082bo240b3o$1081bo
bob2o231bo4bo2b2obo$1081bobobobo233bo4b5o$1078b2obobobobo2bo230bo2b4ob
2o$1078bo2bo2b2ob4o225bo3b2o5b2o$1080b2o4bo228bob2o3b2ob2o$1086bobo
226bo6bobobo$1087b2o225b2o$1323b3o$1324b2o2bo$1324b2obobo$1323bobobobo
$1320bo2bobobobob2o$1320b4ob2o2bo2bo$1324bo4b2o$1322bobo$1322b2o13$
1393b2o$1392bobo310bo$1394bo308b3o$1702bo$1702b2o7$1692b2o$1691bobo5b
2o$1691bo7b2o$1690b2o2$1704bo$1700b2obobo$1699bobobobo$1696bo2bobobobo
b2o$1696b4ob2o2bo2bo$1700bo4b2o$1698bobo$1698b2o67$1296bo$1294b3o$
1293bo$1293b2o7$1283b2o$1282bobo5b2o$1282bo7b2o$1281b2o2$1295bo$1291b
2obobo$1290bobobobo$1287bo2bobobobob2o$1287b4ob2o2bo2bo$1291bo4b2o$
1289bobo$1289b2o! [[ THEME 11 STEP 8 ]] 

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Re: Refactoring DRH's cyclotron with stable components?

Post by simsim314 » February 27th, 2019, 8:43 am

Goldtiger997 wrote: Here's a p1512 gun where all the stable components are Snarks, Rectifiers, or blocks:
Very cool, congrats!

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Re: Refactoring DRH's cyclotron with stable components?

Post by pcallahan » February 27th, 2019, 11:16 am

Goldtiger997 wrote: I wasn't able to complete it using only Snarks (I don't think it is possible), but I managed to complete a version that contains two copies of your assembly. Here's a p1512 gun where all the stable components are Snarks, Rectifiers, or blocks:
Wow! I forgot all about the blocks. I would also not know where to begin to set up something with that many synchronized interactions.

Any chance of reducing the size? Does the turner help at all?

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Re: Refactoring DRH's cyclotron with stable components?

Post by simsim314 » February 27th, 2019, 11:29 am

pcallahan wrote:I would also not know where to begin to set up something with that many synchronized interactions.
Think about it this way - each glider has a color, and there is 16 colors. Adjusting timing mod 8 is something as simple as moving 2 snarks single cell diagonally. When you use one interaction of 3->4 you will get some random stuff, but when you know to match the colors of your gliders you just throw a bunch of different color to create a bunch of different color and you just wire them together. Easier said than done ofcourse, but the idea is simple. This was calcyman basic approach, and Goldtiger997 made it working.

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Re: Refactoring DRH's cyclotron with stable components?

Post by pcallahan » February 27th, 2019, 11:52 am

simsim314 wrote: Think about it this way - each glider has a color, and there is 16 colors. Adjusting timing mod 8 is something as simple as moving 2 snarks single cell diagonally..
Well, yeah, I understand this in principle. What I mean is that even to put together the gun-driven pattern above I had to work very hard. I am placing patterns in Golly with copy-paste. I knew enough to choose a glider on the correct diagonal to route back to the turner. I also knew, after some trial and error, what period gun I was going to need to drive the 180 degree relay (if I'm not mistaken any 8n+6 will work). So what I cannot really imagine is doing all the calculations to get gliders to show up at the right place at the right time even if they are the right color. It requires a combination of much better construction skills, and maybe some other tools.

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Re: Refactoring DRH's cyclotron with stable components?

Post by pcallahan » February 27th, 2019, 3:15 pm

Stepping back for a second, we are really talking about a collision of a glider and a b-heptomino that results in 5 gliders plus a turner.

Code: Select all

x = 43, y = 41, rule = B3/S23
bo$2bo$3o35$42bo$41b2o$40b2o$41b2o!
I'm very skeptical that this is new. It has the feel of something David Buckingham might have noticed eons ago (working on paper or in his head, I don't ask). Anyone know?

The b-heptomino can be produced a variety of ways, including glider+boat and glider+eater, and both still lifes can be produced with a 2 glider collision. Since the extra junk is a turner and can be removed without glider loss, a 4-glider input would work.

Anyway, it's fairly useless, though having come this far, I would enjoy seeing a solution like Goldtiger997's but small enough that you don't have to go to subpixel resolution.

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Re: Refactoring DRH's cyclotron with stable components?

Post by simsim314 » February 27th, 2019, 6:02 pm

pcallahan wrote:So what I cannot really imagine is doing all the calculations to get gliders to show up at the right place at the right time even if they are the right color.
So you know a glider should be at generation x at place p. You get it somehow to the same lane and add a two snarks to control th delay. Now if everything is matching mod 8, you just calculate the distance between where you at with some random wiring and where you should be and adjust the delay nechanism acordingly. It's a lot of work - but it's clear what needs to be done.

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Re: Refactoring DRH's cyclotron with stable components?

Post by pcallahan » February 27th, 2019, 6:42 pm

simsim314 wrote:It's a lot of work - but it's clear what needs to be done.
Yes, well, that was mostly my point... complimenting Goldtiger997 on the work he put into his pattern. But I agree I probably would make more progress if I approached glider colors systematically instead of haphazardly.

On the subject of large constructions, I haven't done much of this since I had access to a functioning copy of XLife with some of my own improvements, and I still haven't gotten the hang of other programs, including Golly. I find that one of the fastest ways to place patterns is with guides that are part of the pattern itself. What I mean, for example, is a Herschel conduit with both a real input Herschel and a fake output Herschel. In XLife, I could also generate patterns in the paste window ("tentative" cell list) in order to sync them up with the surroundings.

As a simple example, in XLife, I could take a glider in a paste window, generate it forward any number of steps, place the result in the larger pattern, and then it would actually paste the original glider in an appropriate position. I think there were things a lot of people found counterintuitive about it (I recall criticisms from Achim Flammenkamp) but I have never been able to build patterns as complex in more modern tools. (XLife also had a feature that would store a script of insertions instead of just laying them on the pattern, but in retrospect, I think that was the wrong approach, or at least an unpopular one).

Does Golly have a way to copy a pattern with a "ghost" component that only shows up for placement but does not get added to the pattern? I would also like a way to take a pattern and turn it into itself with a superimposed "ghost" n steps later. I am pretty sure I saw this somewhere.

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Re: Refactoring DRH's cyclotron with stable components?

Post by AforAmpere » February 27th, 2019, 7:35 pm

pcallahan wrote: Does Golly have a way to copy a pattern with a "ghost" component that only shows up for placement but does not get added to the pattern? I would also like a way to take a pattern and turn it into itself with a superimposed "ghost" n steps later. I am pretty sure I saw this somewhere.
I'm not quite sure what you mean, but maybe LifeHistory could work? The red cells are used as markers, or maybe "ghosts" and it may be the type of thing you mean. An example:

Code: Select all

x = 9, y = 9, rule = LifeHistory
6.3D$8.D$7.D4$3A$2.A$.A!
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Re: Refactoring DRH's cyclotron with stable components?

Post by pcallahan » February 27th, 2019, 7:42 pm

AforAmpere wrote: I'm not quite sure what you mean, but maybe LifeHistory could work? The red cells are used as markers, or maybe "ghosts" and it may be the type of thing you mean
Interesting. It does nearly the opposite of what I want when I copy-paste to Golly. When I look at the pattern in the paste window, there is just one glider, but when I paste it, both get added. I would like to see both in preview (like in Viewer). Then I could line up the red one with another glider in my pattern, but only paste in the green one. If I have actually lined it up with a glider, that is less important, but the "ghost" part could contain sparks and other things that I don't want to add to the pattern. I hope that explanation helps. The main idea is to have part of the paste window that I can see and line up with the current pattern, but that does not really get added when I paste.

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Re: Refactoring DRH's cyclotron with stable components?

Post by AforAmpere » February 27th, 2019, 8:15 pm

pcallahan wrote: Interesting. It does nearly the opposite of what I want when I copy-paste to Golly. When I look at the pattern in the paste window, there is just one glider, but when I paste it, both get added.
That may be because your rule is not set to LifeHistory in Golly.
pcallahan wrote:I would like to see both in preview (like in Viewer). Then I could line up the red one with another glider in my pattern, but only paste in the green one. If I have actually lined it up with a glider, that is less important, but the "ghost" part could contain sparks and other things that I don't want to add to the pattern. I hope that explanation helps. The main idea is to have part of the paste window that I can see and line up with the current pattern, but that does not really get added when I paste.
There are different pasting options, maybe changing that could work. Otherwise, I have no idea.
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Things to work on:
- Find a (7,1)c/8 ship in a Non-totalistic rule

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Re: Refactoring DRH's cyclotron with stable components?

Post by pcallahan » February 27th, 2019, 8:35 pm

AforAmpere wrote: That may be because your rule is not set to LifeHistory in Golly.
Thanks! I think you're right. That option looks a lot more promising. I will have to learn how to use this. I always run Golly in pure Life mode.

On another note, I have been running searches for glider-positive collisions. In this case, I am using 4 gliders, but letting the first 2 gliders settle down before adding the next two. Here are two results that are not based on the bheptomino reaction above. The enumeration is still running, so I will see if any more come along.

Clean 4 gliders in, 5 gliders out.

Code: Select all

x = 67, y = 65, rule = B3/S23
2$60bobo$60b2o$61bo42$18b2o$17bobo$19bo3$25b3o$25bo$26bo5$6b2o$5bobo$
7bo!
4 gliders in, 5 gliders and a fortituous turner out, or 5 gliders in, 6 gliders out.

Code: Select all

x = 93, y = 73, rule = B3/S23
5$6bo$4bobo$5b2o18$48bo$46bobo$47b2o18$85bo$85bobo$85b2o12$61b2o$60bob
o$62bo3$67b3o$67bo$68bo!

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Re: Refactoring DRH's cyclotron with stable components?

Post by Entity Valkyrie 2 » February 28th, 2019, 3:59 am

AforAmpere wrote:
pcallahan wrote: Does Golly have a way to copy a pattern with a "ghost" component that only shows up for placement but does not get added to the pattern? I would also like a way to take a pattern and turn it into itself with a superimposed "ghost" n steps later. I am pretty sure I saw this somewhere.
I'm not quite sure what you mean, but maybe LifeHistory could work? The red cells are used as markers, or maybe "ghosts" and it may be the type of thing you mean. An example:

Code: Select all

x = 9, y = 9, rule = LifeHistory
6.3D$8.D$7.D4$3A$2.A$.A!
I think he means not with the history cells.
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Re: Refactoring DRH's cyclotron with stable components?

Post by simsim314 » February 28th, 2019, 4:33 am

pcallahan wrote:Does Golly have a way to copy a pattern with a "ghost" component that only shows up for placement but does not get added to the pattern? I would also like a way to take a pattern and turn it into itself with a superimposed "ghost" n steps later. I am pretty sure I saw this somewhere.
1. I have written a script where you take a glider and chose a glider gun and place it somewhere along the glider path, and it evolve the gun to correct state to give you the glider. Using scripting you may do as much ghosting as you like. I think I wrote something similar with snark. I don't remember where I posted those scripts but dvgrn probably remembers. Maybe we can also add overlay to show the future after each operation - unfortunately there is no way to track your action from script while you work. You need to rewrite all golly operations from scratch inside the script. It's not that hard for simple editing - but it would be nice to run in the background.

2. Many time when you switch to a new tool you come with old habits which looked useful but in the new tool some things are done differently. Check out how I edit stuff in golly here at minutes 35 and 56. I hope my videos would be a learning reference of working with the existing tools.

EDIT Very nice collision you found there!

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Re: Refactoring DRH's cyclotron with stable components?

Post by dvgrn » February 28th, 2019, 10:58 am

pcallahan wrote:Thanks! I think you're right. That option looks a lot more promising. I will have to learn how to use this. I always run Golly in pure Life mode.
Recent versions of Golly finally have a couple of shortcut keys to help out with LifeHistory vs. Life: Alt+H switches a pattern to LifeHistory, and Alt+J switches a LifeHistory pattern to Life. These are actually Lua scripts, toLifeHistory.lua and toLife.lua; until Golly 3.0 you had to download scripts like that separately from the Rule Table Repository and do the key mapping yourself.

Another subtle item about LifeHistory that might be worth noting: it works better in icons mode than in flat color mode, because some of the states are set up with half-transparent icons -- you can see through the blue OFF cells when you're pasting, to line up the marked cells better.

The other "ghost" option is the one used by the LifeWiki, which is so far uncontaminated by LifeHistory. Output Herschels are shown with one cell missing -- see Fx77 for example -- in such a way that the ghost Herschel collapses harmlessly (even if it's next to a dependent-conduit block). Gliders can be done the same way if you want, and B-heptominoes as in HFx58B. But unlike the Herschel case, there's not really any agreement about what the standard "ghost" form is, so the idea hasn't caught on very well.

One missing piece is another Lua script analogous to ToChangeColors.py, that can easily mark a selected chunk of ON cells, or remove all the blue state-2 history cells from the pattern or a selection.

At one point I had almost finished a version of ToChangeColors that worked on whole patterns the way the LifeHistory-to-Life script works: by writing a custom rule and running that rule for one tick to make all the state changes at once. If you don't do it that way, you tend to get in trouble if you try to de-historify something like a Caterpillar spaceship after you've been running it for a while.

-- Will definitely have to put that script back on the list and get it included in Golly 3.3.

EDIT:
simsim314 wrote:1. I have written a script where you take a glider and chose a glider gun and place it somewhere along the glider path, and it evolve the gun to correct state to give you the glider. Using scripting you may do as much ghosting as you like. I don't remember where I posted those scripts but dvgrn probably remembers...
This was quite a while ago -- 2014! It was in the Circuit Editor in Golly topic. One of the things I'd do if I won the lottery is figure out how to use Golly's shiny new Lua overlay to implement a good circuit editor -- grab Snark/bumper/bouncer, drag to move, other reflectors attached to the dragged one move along with it, sparker periods adjusted as necessary.

-- Or maybe I'd just pay someone else to do the figuring for me. This kind of thing has been on Lifenthusiasts' collective wish list at least since Paul Chapman brought up the idea in the early 2000's, even before Golly showed up.

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Re: Refactoring DRH's cyclotron with stable components?

Post by simsim314 » March 1st, 2019, 4:55 am

dvgrn wrote:This was quite a while ago -- 2014! It was in the Circuit Editor in Golly topic. One of the things I'd do if I won the lottery is figure out how to use Golly's shiny new Lua overlay to implement a good circuit editor -- grab Snark/bumper/bouncer, drag to move, other reflectors attached to the dragged one move along with it, sparker periods adjusted as necessary.
Thanks! Lua overlay took me about 1.5 hr to grasp the basics i.e. now I can look at an example and copy paste what I need.

I'm also ahead of you on that one. I'm writing CA studio using the overlay (this is why I learned it in the first place), where everything will be toyish and playful yet restricted and well defined enough to be able to compile to CGOL or any CA which provides a set of predetermined API libraries. Inside the studio designing gemini will take about a minute, and accelerating spaceships 2 minutes. Lets see where the studio takes us, when many people will start designing on their own. Then writing a compiler for CGOL is also tricky, and making sure CA studio is not simplified too much is important as well (the compiler will be behind the studio capabilities obviously).

Hopefully CA studio will also become a K-12 game as part of the popularization effort. Maybe use some puzzles (designing gemini having reflector, duplicator and universal goo construction is a nice puzzle), or brain design for creatures in strategy game running on CGOL engine, promoting people to write better CA studio compiler for CGOL and searching CGOL patterns. Imagine advanced LightBot but with glider shoots instead of regular graphics. While a solution will be a state in CGOL. Hopefully LightBot will also work with CA Studio, and only the running part will be shown as CGOL grid. It's possible to do it all in golly, using the overlay to show the bot movements, and golly to simulate CGOL.
dvgrn wrote:Lifenthusiasts' collective wish list at least since Paul Chapman brought up the idea in the early 2000's
Definitely! Is there something like this list already? I remember your post from several days ago about what you would like to do in CGOL if you had time. I also posted something like that previously. But maybe we can create a market, and maybe someone will also be willing to pay money to have some designs be made faster. I hope CA studio will promote CGOL and the compiler will be written as part of some economically viable game developing effort. For this purpose I intend to use Roblox studio.

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Re: Refactoring DRH's cyclotron with stable components?

Post by pcallahan » March 1st, 2019, 7:31 pm

simsim314 wrote: I'm also ahead of you on that one. I'm writing CA studio using the overlay (this is why I learned it in the first place), where everything will be toyish and playful yet restricted and well defined enough to be able to compile to CGOL or any CA which provides a set of predetermined API libraries.
This sounds very cool. I remember thinking a long time ago that building some Life patterns ought to be as easy as snapping Legos together (this was in the early 90s and I was thinking in terms of building logic with p30 guns). A novice audience will far prefer patterns that don't explode on them. The trick, I think, is competing with other kinds of building software (e.g. Minecraft) that seems on the surface to do a lot more. Does the user care that the whole universe is defined in terms of CA rules and not some arbitrary and shifting software model?
Last edited by pcallahan on March 1st, 2019, 9:38 pm, edited 1 time in total.

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Re: Refactoring DRH's cyclotron with stable components?

Post by simsim314 » March 1st, 2019, 8:55 pm

pcallahan wrote:Does the user care that the whole universe is defined in terms of CA rules and not some arbitrary and shifting software model?
Yes! Try to build something like gemini or even remotely resembling gemini in minecraft. Imagine now the whole range of constructions, caterloopillars, quadratic metacells, accelerating spaceships, computers. You can even create bots with CGOL brain. This is quite cool - you don't need to explain to the user the compilation proccess into CGOL, exactly as you don't need to explain to the UI designer about assembly. They only need to know it exists, and everything they do in the UI form design, will eventually be compiled into the CPU zeros and ones.

Now as to the question how important is it? Imagine looking into the brain of every creature in the game - and see game of life running benief it. I think this is amazing - like a whole universe of CGOL creatures. Maybe some other CAs will want to join the party. I think this is really amazing. What's cool about it is the gimik of having everything translated into CA reality. I think just like many people want to use refrigerator but don't care how it works, people would be glad to solve puzzles in general CA theory. This is pure fun if it can be translated into toyish language. It's like the difference between C++ and assembly. It opens doors to much more crowd to think in this CA unique language, and become a creator in some very non usual alternative reality, or virtual reality which is turing complete. Once again - the point is that people will start to think differently about computational reality. Where brain = CGOL simulation, and CGOL simulation = some fun game with nice graphics which is the programming of the creatures. And this is obviously only one room in Roblox. Which is also turing complete place, as it runs Lua. Every turing complete place can host any other turing complete place. So we can create a creature which thinks like Roblox inside the CA universe.

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Re: Refactoring DRH's cyclotron with stable components?

Post by pcallahan » March 2nd, 2019, 1:28 pm

This thread made me realize how nice it would be to have additional small stable glider-changing components, even if they are not perfect reflectors, as long as the reset steps don't result in glider loss (though admittedly, even this is no longer a problem since there are components that produce Herschels and excess gliders).

I went back and revisited the kinds of searches I did around 20 years ago, and I can't really claim progress, nor even a negative result, but I am closer to finally ruling out some simple ideas. What I thought I might be able to find is a small constellation of common objects that when hit by a glider, emits a new glider and creates another constellation that can be hit by a glider such that over a sequence of such interactions, you get the original constellation in the same place. Ideally, this would be without catalysts, because those permanently block diagonals.

While I don't have rigorous negative result, I am willing to conjecture that there are no new constellations like that fit in (hedging a bit) a 15x15 bounding box. Here is the only case I know that fits the above description, which I reported in 1994 and no longer recall how I found. It consists of 3 blocks in an 8x9 bounding box. Two are actually catalysts, but it can be considered a constellation that flips with glider collisions.

Code: Select all

x = 81, y = 80
2bo$obo$b2o67$72b2o5b2o$72b2o5b2o5$79b2o$79b2o$67b2o$66bobo$68bo!
It shifts gliders, which I thought might be useful in recirculating a glider-positive collision, but actually even this blocks a lot of diagonals.

I used a search method that I don't recall trying before.

(1) I began with millions of random starting seeds, generated them to find a stable ash with 20x20 bounding box constraints, normalized their orientation and phase (with blinkers), removed duplicates and obtained a list of 49905 "natural" stable and period-2 targets.
(2) Set up all glider collisions giving the glider 30 steps before hitting, which is usually enough to make it work coming from infinity.
(3) Tested these collisions for output gliders and non-zero stable ash fitting in a 20x20 bounding box.
(4) Collected the ash and dedupped again to use as another round of targets.

Repeat above until the set of targets is stable. There are some other things you can do to remove junk, such as taking the intersection of targets from current and some past round.

The point is that ultimately a target is only reusable if it consists of collision ash. However, even these may be uninteresting as so many collisions produce ash that does not ultimately lead to a cycle.

In practice, the final set is winnowed down to the hundreds, and some other filters can be applied to check manually if there is something interesting.

I believe this method is good, because I was able to find both the stable shifter above and the glider/biloaf collision without going out of my way to look for them (and I completely forgot about the biloaf). However, I did not come up with anything new.

The one improvement over 20 years is that I am pretty sure I completed a process in a few hours that would have taken a week of running batch jobs over night at that time. Perhaps the negative result can be confirmed more easily with modern tools.

I think there is still potential to get a reaction like this with some small, natural catalysts, let alone engineered and Bellman-derived catalysts. But unfortunately, the more helpers we add, the more diagonals we use up.

Some suggestive but ultimately useless reactions came up, such as this one:

Code: Select all

x = 12, y = 10, rule = B3/S23
2bo$obo$b2o6b3o4$6b2o$5bo2bo$6bobo$7bo!
It actually had a traffic light and excess beehive that I removed after inspection. One thing that is easy to filter for, but too restrictive, is collisions such that the target and ash have the same number of cells. There could be a multicycle component that varies in cell count (but as I said, I am pretty sure there is not, at least in a 15x15 box).

There were lots of collisions that produce multiple excess gliders and spaceships. Too many to try to count. Maybe these could be refactored into glider-producing collisions if the targets can be reset leaving a net positive.

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Re: Refactoring DRH's cyclotron with stable components?

Post by Entity Valkyrie 2 » January 3rd, 2020, 6:02 am

I'm very sorry, but this is actually a double post, since the pattern itself is already posted in the Oscillator Discussion Thread (I had to specify). I just believed that this is the right thread, but I predicted that no-one will reply if it is here (maybe someone else can explain: I don't know where to post things so that it is near topic and people might reply, rather than on topic by no-one will reply, can someone help?) EDIT: There is a link to here from the Oscillator Discussion Thread. EDIT: There are a few labyrinths of snarks and gliders to time the gliders correctly.

Code: Select all

#C P369 cyclotron
#C Entity Valkyrie 2
#C 3 January, 2020
#C Only still lives used in this gun are block, eater1 and 31.4
x = 534, y = 451, rule = B3/S23
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210bob2o44bo2b3o4b2o20b3o12bobo33bo13bo30b2o48b2o3bo3b2o7bo15b2o6bobo
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2o4b2o101b3o$74bo40bo2b3o4b2o112b3o38b2o47bo3b2o26b3o12bobo108bo$116b
2o3bo3b2o115bo87b2obobo28bo6bo6bo$118b4o91bobo25b2o89b3o24b5o8bo5b2o
108bo$118bo15b2o72b2o4bo4bobo110b3o24bo10b3o115b3o$119b3o12bobo71b2o
10bob2o137bo129bo$122bo13bo82b3o11b2o125b2o128b2o$117b5o14b2o77bo3bobo
11bo158b2o$117bo97bo3bobo8b2obo158bo$119bo95bo3b2o9bo2b3o4b2o84bobo64b
3o86b2o$118b2o98b2o11b2o3bo3b2o79b2o4bo4bobo60bo86bo$217b2o14b4o84b2o
10bob2o142b2obo$195b2o20b2o14bo15b2o81b3o144bo2b3o4b2o$195b2o37b3o12bo
bo13b2o61bo3bobo145b2o3bo3b2o$159b2o76bo13bo13bobo60bo3bobo122b2o23b4o
$159bobo70b5o14b2o14bo4b2o54bo3b2o51b2o71b2o22bo15b2o$161bo4b2o64bo30b
4ob2o2bo2bo55b2o52b2o70bo25b3o12bobo$157b4ob2o2bo2bo47b3o14bo28bo2bobo
bobob2o54b2o154bo13bo6bo$157bo2bobobobob2o46bo2bo13b2o31bobobobo35b2o
20b2o149b5o14b2o3b3o$160bobobobo49bo2bo47b2obobo35b2o111bo59bo22bo$
161b2obobo104bo148bo62bo20b2o$165bo29bo19b2o203b3o59b2o$194bo20bo41b2o
$151b2o41b3o61bo7b2o62b3o179b2o$152bo7b2o96bobo5b2o61bo2bo180bo$152bob
o5b2o97b2o68bo2bo180bob2o$153b2o62bo287b2o4b3o2bo$216b2o90bo19b2o40b3o
132b2o3bo3b2o$216bobo88bo20bo43bo137b4o$307b3o61bo63bo60b2o15bo$433b3o
59bobo12b3o$432bo62bo13bo$269b2o59bo101b2o60b2o14b5o$163b2o104bo59b2o
183bo$163bo106b3o56bobo180bo$164b3o105bo239b2o$166bo3$240bo181b2o$238b
3o180bobo5b2o$237bo183bo7b2o$165bo71b2o181b2o69bobo$166bo324b2o$164b3o
267bo57bo$430b2obobo$429bobobobo$104b2o147b3o170bo2bobobobob2o$103bobo
147bo172b4ob2o2bo2bo$97b2o4bo150bo24bo150bo4b2o$95bo2bo2b2ob4o172bo
147bobo$95b2obobobobo2bo170b3o147b2o$98bobobobo$98bobob2o$41bo57bo267b
3o$41b2o324bo$40bobo69b2o181b2o71bo$103b2o7bo183bo$103b2o5bobo180b3o$
110b2o181bo3$367bo$20b2o239bo105b3o$21bo180bobo56b3o106bo$19bo183b2o
59bo104b2o$19b5o14b2o60b2o101bo59b2o$24bo13bo62bo$21b3o12bobo59b3o$20b
o15b2o60bo63bo61b3o$20b4o137bo43bo20bo88bobo$18b2o3bo3b2o132b3o40b2o
19bo90b2o$17bo2b3o4b2o287bo62b2o$17b2obo180bo2bo68b2o97b2o5bobo$20bo
180bo2bo61b2o5bobo96b2o7bo$20b2o179b3o62b2o7bo61b3o41b2o$275b2o41bo20b
o$50b2o59b3o203b2o19bo29bo$28b2o20bo62bo148bo104bobob2o$29bo22bo59bo
111b2o35bobob2o47bo2bo49bobobobo$26b3o3b2o14b5o149b2o20b2o35bobobobo
31b2o13bo2bo46b2obobobobo2bo$26bo6bo13bo154b2o54b2obobobobo2bo28bo14b
3o47bo2bo2b2ob4o$33bobo12b3o25bo70b2o52b2o55bo2bo2b2ob4o30bo64b2o4bo$
34b2o15bo22b2o71b2o51b2o3bo54b2o4bo14b2o14b5o70bobo$48b4o23b2o122bobo
3bo60bobo13bo13bo76b2o$43b2o3bo3b2o145bobo3bo61b2o13bobo12b3o37b2o$43b
2o4b3o2bo144b3o81b2o15bo14b2o20b2o$51bob2o142b2obo10b2o84b4o14b2o$51bo
86bo60bobo4bo4b2o79b2o3bo3b2o11b2o98b2o$50b2o86b3o64bobo84b2o4b3o2bo9b
2o3bo95bo$141bo158bob2o8bobo3bo97bo$140b2o158bo11bobo3bo77b2o14b5o$42b
2o128b2o125b2o11b3o82bo13bo$42bo129bo137b2obo10b2o71bobo12b3o$43b3o
115b3o10bo24b3o110bobo4bo4b2o72b2o15bo$45bo108b2o5bo8b5o24b3o89b2o25bo
bo91b4o$155bo6bo6bo28bobob2o87bo115b2o3bo3b2o$46bo108bobo12b3o26b2o3bo
47b2o38b3o112b2o4b3o2bo40bo$46b3o101b2o4b2o13bobo26b2obo48bo41bo120bob
2o41b2o$49bo93b2o5bobo17b2obo27b2o51bo160bo43b2o$48b2o93b2o7bo12b2obo
2bo2b2o58b2o14b5o57b3o99b2o$152b2o11bo6b2o2bo12b2o44bo13bo62b3o$166b2o
5bob2o13bo44bobo12b3o58bobob2o$40b2o97bo33bo6bo6b3o46b2o15bo58b2o3bo
47b2o39b2o$40bo97bobob2o28b2o6b3o4bo62b4o59b2obo48bo40bo$37b2obo97bobo
bobo38bo61b2o3bo3b2o58b2o51bo39b3o$37bo2b3o4b2o86b2obobobobo2bo34b2o
61b2o4b3o2bo90b2o14b5o41bo$38b2o3bo3b2o46bo39bo2bo2b2ob4o16b2o87bob2o
91bo13bo$3b2o35b4o51b3o39b2o4bo20bo88bo94bobo12b3o$4bo35bo15b2o40bo44b
obo19b3o6b2o76b2o95b2o15bo$2bo38b3o12bobo38b2o45b2o21bo6bo188b4o$2b5o
14b2o21bo13bo112b2obobo181b2o3bo3b2o$7bo13bo17b5o14b2o111bo2bobo2b2o
45bo17b2o112b2o4b3o2bo$4b3o12bobo17bo49b2o81b2o3bo2b2o42b3o17bo121bob
2o$3bo15b2o20bo47bo12bobo69b7o2b2o38bo21b3o118bo$3b4o33b2o24bo19b2obo
12b2o70bo2bo3b3o6b2o31b2o22bo117b2o$b2o3bo3b2o52b3o19bo2b3o4b2o5bo71b
4o2b3o6bobo$o2b3o4b2o51bo23b2o3bo3b2o80bo4b2o7bo6bo$2obo59b2o24b4o80b
5o6b2o6b2o3b3o139bo17b2o$3bo85bo15b2o66bo11bo10bo140b3o17bo$3b2o85b3o
12bobo20b2o45bo20b2o138bo21b3o$93bo13bo6bo14bo44b2o160b2o22bo$88b5o14b
2o3b3o12bo85b2o57bo$11b2o75bo22bo15b5o14b2o56b2o6bobo5b2o50b3o$12bo77b
o20b2o19bo13bo58bo6bo7b2o53bo$9b3o41b2o34b2o38b3o12bobo58bob2o2b2o61b
2o16b2o$9bo42bobo5b2o66bo15b2o51b2o4b3o2bo84bo$52bo7b2o57b2o7b4o65b2o
3bo3b2o17bo64b3o$51b2o67bo5b2o3bo3b2o65b4o15b2obobo39b2o22bo35b2o$120b
ob2obo2b3o4b2o51b2o15bo14bobobobo39bo58bobo5b2o$65bo46b2o4b3o2bob2obo
58bobo12b3o12bo2bobobobob2o33b2obo58bo7b2o$61b2obobo45b2o3bo3b2o5bo51b
o6bo13bo15b4ob2o2bo2bo33bo2b3o4b2o49b2o$43b2o15bobobobo50b4o7b2o50b3o
3b2o14b5o14bo4b2o36b2o3bo3b2o$43bo13bo2bobobobob2o33b2o15bo62bo22bo12b
obo44b4o68bo$45bo11b4ob2o2bo2bo32bobo12b3o62b2o20bo14b2o45bo15b2o50b2o
bobo59bo$25b2o14b5o15bo4b2o27bo6bo13bo19b2o66b2o61b3o12bobo48bobobobo
59bobo$26bo13bo18bobo33b3o3b2o14b5o15bo89b2o41bo13bo45bo2bobobobob2o
56b2o$26bobo12b3o15b2o37bo22bo12b3o37b2o52bo36b5o14b2o44b4ob2o2bo2bo$
27b2o15bo52b2o20bo14bo39bo51bo10b2o26bo68bo4b2o$41b4o74b2o50b2obo51b5o
7b2o5b2o20bo64bobo$36b2o3bo3b2o124bo2b3o4b2o48bo5bo7bo20b2o64b2o$36b2o
4b3o2bo41b2o81b2o3bo3b2o45bobo12bobo$44bob2o41bo84b4o49bobo13b2o$28b3o
13bo41b2obo84bo15b2o35b2o$30bo12b2o41bo2b3o4b2o70b2o5b3o12bobo32b2o2bo
b2ob2o$29bo57b2o3bo3b2o70bo9bo13bo6bo24bo2b2o4b2o118b2o$13b2o74b4o77bo
2b5o14b2o3b3o24b2obo5bo120b2o$14bo20b2o24b2o26bo15b2o43b2o14b5o2bo22bo
30bo125bo$12bo22bo24bobo27b3o12bobo43bo13bo9bo20b2o19b2o8b2o$12b5o14b
2o3b3o15b2o4bo32bo13bo6bo36bobo12b3o5b2o41bobo$17bo13bo6bo13bo2bo2b2ob
4o23b5o14b2o3b3o37b2o15bo49bo4b2o$14b3o12bobo20b2obobobobo2bo23bo22bo
54b4o34b2o9b4ob2o2bo2bo7b2o54bo$13bo15b2o24bobobobo28bo20b2o48b2o3bo3b
2o33bo9bo2bobobobob2o8bo55b2o$13b4o38bobob2o28b2o70b2o4b3o2bo32bob2o9b
obobobo8b3o55b2o$11b2o3bo3b2o34bo112bob2o24b2o4b3o2bo10b2obobo8bo$10bo
2b3o4b2o97b2o48bo27b2o3bo3b2o15bo$10b2obo55b2o49bo47b2o32b4o$13bo46b2o
7bo50bob2o64b2o15bo3b2o$13b2o45b2o5bobo42b2o4b3o2bo14b2o47bobo12b3o5bo
7b2o$67b2o43b2o3bo3b2o16bo20b2o18bo6bo13bo8bobo5b2o$117b4o16bo22bo19b
3o3b2o14b5o4b2o25bo$21b2o80b2o15bo16b5o14b2o3b3o19bo22bo29b3o$22bo18bo
60bobo12b3o22bo13bo6bo18b2o20bo30bo$19b3o19b3o51bo6bo13bo22b3o12bobo
47b2o29b2o86b2o$19bo24bo50b3o3b2o14b5o16bo15b2o115b2o51bo$43b2o53bo22b
o16b4o32b2o39b2o54bo50bo$57b2o38b2o20bo16b2o3bo3b2o27bo39bobo26b2o28bo
48b5o14b2o$58bo19b2o39b2o14bo2b3o4b2o24b2obo41bo4b2o21bo8b2o14b5o53bo
13bo$55b3o20bo56b2obo32bo2b3o4b2o38bo22bob2o6bo13bo55b3o12bobo$55bo24b
o8b2o47bo33b2o3bo3b2o39b3o11b2o4b3o2bo6bobo12b3o51bo15b2o$60b2o14b5o8b
o48b2o34b4o46bo11b2o3bo3b2o8b2o15bo50b4o$61bo13bo10b2obo84bo15b2o49b4o
24b4o48b2o3bo3b2o$53b2o6bobo12b3o7bo2b3o4b2o77b3o12bobo34b2o15bo19b2o
3bo3b2o45bo2b3o4b2o$46b2o5bobo6b2o15bo7b2o3bo3b2o48b2o30bo13bo33bobo
12b3o20b2o4b3o2bo44b2obo$46b2o7bo20b4o9b4o54bo25b5o14b2o32bo13bo31bob
2o8b2o37bo$55b2o14b2o3bo3b2o7bo15b2o37b3o26bo24bo26b2o14b5o26bo10bobo
37b2o22bo$71b2o4b3o2bo7b3o12bobo36bo30bo20b3o46bo25b2o4b2o4bo63b3o$42b
o36bob2o10bo13bo6bo59b2o19bo47bo31bo2bo2b2ob4o62bo$41bobob2o32bo8b5o
14b2o3b3o80b2o46b2o30b2obobobobo2bo43b2o16b2o$41bobobobo30b2o8bo22bo
151b2o13bobobobo47bo$38b2obobobobo2bo39bo20b2o150bo14bobob2o45b3o$38bo
2bo2b2ob4o38b2o173b3o12bo49bo$40b2o4bo23b2o94b2o98bo$46bobo21bo48b2o
44b2o125b2o$47b2o22b3o46bo46bo115b2o7bo$73bo46bob2o61b2o96b2o5bobo66b
2o$112b2o4b3o2bo60bobo5b2o96b2o60b2o5bobo$112b2o3bo3b2o61bo7b2o158b2o
7bo$117b4o62b2o176b2o$103b2o15bo$72b2o28bobo12b3o77bo150bo$71bobo21bo
6bo13bo76b2obobo148bobob2o$65b2o4bo23b3o3b2o14b5o70bobobobo148bobobobo
$63bo2bo2b2ob4o22bo22bo67bo2bobobobob2o78b2o62b2obobobobo2bo$63b2obobo
bobo2bo21b2o20bo69b4ob2o2bo2bo79bo62bo2bo2b2ob4o$66bobobobo46b2o72bo4b
2o78b3o21b2o42b2o4bo$66bobob2o119bobo84bo23bo49bobo$32b2o33bo21b2o100b
2o111bo48b2o$33bo55bo194b2o14b5o$31bo48b2o4b2obo195bo13bo$31b5o14b2o
19b2o7bo5bo2b3o4b2o2bo184bobo12b3o$36bo13bo20b2o5bobo6b2o3bo3b2o2bobo
183b2o15bo$33b3o12bobo27b2o9b4o7b2o92bo105b4o$32bo11bo3b2o39bo15b2o87b
3o98b2o3bo3b2o$32b4o6b2obo44b3o12bobo89bo17b2o78b2o4b3o2bo52bo$30b2o3b
o6bo2bo6bo40bo13bo6bo81b2o18bo86bob2o50b3o$29bo2b3o7b3o7b3o33b5o14b2o
3b3o99bo88bo12b2o38bo$29b2obo22bo32bo22bo102b5o14b2o67b2o11bobo38b2o$
32bo21b2o34bo20b2o106bo13bo75b2o4bo$32b2o34b2o19b2o125b3o12bobo73bo2bo
2b2ob4o$69bo145bo15b2o61b2o11b2obobobobo2bo44b2o$66b3o50b2o94b4o75bo
15bobobobo48bo$40b2o24bo53bo85b2o5b2o3bo3b2o71b3o12bobob2o49bob2o$41bo
78bob2o75b2o5bobo3bo2b3o4b2o73bo13bo45b2o4b3o2bo$38b3o71b2o4b3o2bo75b
2o7bo3b2obo141b2o3bo3b2o$38bo25b2o46b2o3bo3b2o85b2o5bo22bo85b2o36b4o$
57b2o5bobo50b4o94b2o21b3o74b2o7bo23b2o15bo$57b2o7bo36b2o15bo74bo45bo
73b2o5bobo22bobo12b3o$66b2o34bobo12b3o74bobob2o40b2o80b2o23bo13bo$102b
o13bo77bobobobo22b2o121b2o14b5o$53bo47b2o14b5o69b2obobobobo2bo20bo141b
o$52bobob2o38bo24bo69bo2bo2b2ob4o17b3o18bo121bo$52bobobobo37b3o20bo73b
2o4bo21bo20b2o120b2o$49b2obobobobo2bo37bo19b2o78bobo39bob2o$49bo2bo2b
2ob4o36b2o100b2o41b2o$51b2o4bo192b2o60b2o$57bobo190bobo60bo$58b2o183b
2o7bo57b3o$252b2o56bo$332bo$239bo92b3o$108b2o128bobob2o91bo$101b2o5bob
o127bobobobo89b2o$101b2o7bo124b2obobobobo2bo$110b2o123bo2bo2b2ob4o$
237b2o4bo$97bo145bobo11bo72b3o$96bobob2o142b2o11b2o71bo$96bobobobo153b
obo72bo$93b2obobobobo2bo238b2o$93bo2bo2b2ob4o135b2o94b2o5bobo$95b2o4bo
140bo94bo8bo$101bobo136bo105b2o$102b2o136b5o14b2o$245bo13bo73bo$242b3o
12bobo72bobob2o$241bo15b2o73bobobobo$241b4o84b2obobo3bo2bo$239b2o3bo3b
2o79bo2bo2b2ob4o$238bo2b3o4b2o81b2o4bo$238b2obo95bobo$241bo96b2o$241b
2o22bo$265b3o$268bo$249b2o16b2o$250bo$247b3o$247bo4$277b2o$270b2o5bobo
$270b2o7bo$279b2o2$266bo$265bobob2o$265bobobobo$262b2obobobobo2bo$262b
o2bo2b2ob4o$264b2o4bo$270bobo$271b2o!
EDIT:
pcallahan wrote:
February 26th, 2019, 1:46 pm
If a pure snark solution is found it could be called a "snarklotron." (Just one of those things that popped into my head on my commute.)
I'm not sure if my P369 would qualify, but it only consists of blocks, eater 1s and 31.4s.
The ENEERG-y of the EVAD is watching.
The 70th NAI-ve guy is watching.

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Also, please apgsearch B34t5y7/S23 (B-life)

pcallahan
Posts: 508
Joined: April 26th, 2013, 1:04 pm

Re: Refactoring DRH's cyclotron with stable components?

Post by pcallahan » January 3rd, 2020, 12:30 pm

Entity Valkyrie 2 wrote:
January 3rd, 2020, 6:02 am
I'm not sure if my P369 would qualify, but it only consists of blocks, eater 1s and 31.4s.
It works for me. My only real requirement was that no excess gliders are produced in a catalyzed reaction, and this qualifies.

User avatar
Gustone
Posts: 614
Joined: March 6th, 2019, 2:26 am

Re: Refactoring DRH's cyclotron with stable components?

Post by Gustone » January 3rd, 2020, 3:41 pm

dublicator

Code: Select all

x = 52, y = 27, rule = B3/S23
27b2o$28bo$28bobo$18bo10b2o$16b3o$15bo$15b2o$2o48b2o$bo48b2o$bob2o$2bo
2bo$3b2o9bo$15b2ob2o$14b2o2b2o4$27bo3b2o$26bobo3bo$25bobo3bo$21b2obobo
3bo$21b2obo2b4obo5b2o$25bobo3bobo5bo$21b2ob2o2bo2bobo2b3o$22bobo2b2o3b
o3bo$10b2o10bobo$10b2o11bo!
My favourite oscillator of all time

Code: Select all

x = 15, y = 13, rule = B3/S23
7bo2$3b2o5b2o$b2o4bo4b2o$5b2ob2o$bobo7bobo$bo2bobobobo2bo$5obobob5o$o
4bo3bo4bo$b3obobobob3o$3bob2obo2bo$8bobo$8b2o!

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