Synthesising Oscillators

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.
MathAndCode
Posts: 5141
Joined: August 31st, 2020, 5:58 pm

Re: Synthesising Oscillators

Post by MathAndCode » September 29th, 2021, 1:28 am

Is this favorable, or can the end result be made at least as cheaply with slow components?

Code: Select all

x = 521, y = 64, rule = B3/S23
4bo42bo$5bo39b2o7bobo$3b3o40b2o6b2o$55bo3$10bobo$11b2o46bo$11bo45b2o$
58b2o2$61bo$9bobo48bo$10b2o48b3o$bo8bo$2bo46bo$3o45bo$48b3o2$15bo274b
2o$9bobo4b2o271bo2bo$10b2o3b2o273b2o$10bo268b2o$279b2o$507b2o$507b2o$
285bobo$285b2obo$288bo224bobo$285b3o225b2obo$284bo17b2o212bo$284b2o5b
2o9bobo208b3o$290bobo9bo209bo$284b4o2bo221b2o5b2o$53b3o227bo4bobobo225b
obo$53bo225b2o2bobo2bo2b2o219b4o2bo$54bo224bobobo4bo207b2o13bo4bobobo
$281bo2b4o207bobo9b2o2bobo2bo2b2o$279bobo215bo9bobobo4bo$279b2o5b2o221b
o2b4o$286b2o219bobo$507b2o5b2o$514b2o6$56b3o$56bo$57bo3$4b3o$6bo$5bo2$
52b2o$51b2o$53bo2$12b2o$13b2o$12bo!
I am tentatively considering myself back.

mniemiec
Posts: 1590
Joined: June 1st, 2013, 12:00 am

Re: Synthesising Oscillators

Post by mniemiec » September 29th, 2021, 4:15 am

MathAndCode wrote:
September 29th, 2021, 1:28 am
Is this favorable, or can the end result be made at least as cheaply with slow components? ...
It depends on what your ultimate goal is. If it's a Hertz Oscillator with that exact combination of stator pieces, it probably is. If you just want a Hertz Oscillator with any old stator, I think the current record is 11 gliders.

GUYTU6J
Posts: 2200
Joined: August 5th, 2016, 10:27 am
Location: 拆哪!I repeat, CHINA! (a.k.a. 种花家)
Contact:

Re: Synthesising Oscillators

Post by GUYTU6J » September 29th, 2021, 8:29 am

Just submitted a 12-glider synthesis of decapole based on this soup:

Code: Select all

x = 115, y = 51, rule = B3/S23
24bo$22bobo$23b2o4$17bo$18bo23bo$16b3o23bobo$42b2o7$109bo$13bo96b2o$
14b2o93b2o$13b2o$113b2o$113b2o$50b3o$50bo$51bo2$bo$2bo104b2o$3o103bobo
2$104bobo$38b2o$37b2o63bobo$39bo$100bobo2$98bobo2$96bobo$96b2o2$9b2o$
8bobo23b3o$10bo23bo$35bo$90b2o$90b2o2$28b2o64b2o$28bobo62b2o$28bo66bo!
Why did the latest upload process happen at
b3s23/synthesis-costs (2021-09-29 10:12:29)
while it should be two hours later?
It may take up to 8 hours before your submitted synthesis appears in Catagolue; the update process runs at 04:20, 12:20, and 20:20 UTC each day.
Meanwhile, how about synthesizing the following oscillators?
Some time ago, I myself wrote:sailboat, sixty-nine, p26 pre-pulsar shuttle, p55 pre-pulsar hassler, p64 pre-pulsar shuttle, gourmet, popover, pi portraitor, p36 shuttle, windmill and the skewed 55P10

MathAndCode
Posts: 5141
Joined: August 31st, 2020, 5:58 pm

Re: Synthesising Oscillators

Post by MathAndCode » October 1st, 2021, 9:06 pm

mniemiec wrote:
September 29th, 2021, 4:15 am
It depends on what your ultimate goal is. If it's a Hertz Oscillator with that exact combination of stator pieces, it probably is. If you just want a Hertz Oscillator with any old stator, I think the current record is 11 gliders.
I just want to know whether or not that fast component is favorable (i.e. cheaper than any application of slow components). I already knew about that eleven-glider synthesis; in fact, that was my starting point. The fast component works on a glider turning into a boat in order to stabilize a line of four cells that was a line of three cells during the previous generation here are two more examples.

Code: Select all

x = 263, y = 56, rule = B3/S23
207bo42bo$bo42bo163bo39b2o7bobo$2bo39b2o7bobo152b3o40b2o6b2o$3o40b2o6b
2o205bo$52bo2$213bobo$7bobo204b2o46bo$8b2o46bo157bo45b2o$8bo45b2o205b
2o$11bobo41b2o$12b2o$12bo$218bo$212bo6b2o$213b2o3b2o$212b2o18$256b3o$
50b3o203bo$50bo206bo$51bo10$8b3o236b2o$10bo236bobo$9bo33b2o202bo$43bob
o$43bo2$256b2o$256bobo$256bo!
I am tentatively considering myself back.

User avatar
iNoMed
Moderator
Posts: 607
Joined: August 29th, 2020, 3:05 pm
Location: Scotland

Re: Synthesising Oscillators

Post by iNoMed » October 2nd, 2021, 9:10 am

Here's a potential lead on a synthesis of the period-22 pre-pulsar shuttle (Specifically, a suitably-edgy inserter for the Bellman 1 catalyst):

Code: Select all

x = 126, y = 43, rule = B3/S23
2bo$obo$b2o17bo$19bo$19b3o6$69bo$14bo52bobo$13bo54b2o6bo$13b3o58b2o32b
o3b2o5b2o3bo$19bobo53b2o30bobo2bo7bo2bobo$19b2o33bo3b2o5b2o3bo36bobo4b
o3bo4b3o$10bo9bo32bobo2bo7bo2bobo36bob5o3b5o$8bobo42bobo4bo3bo4b2o39bo
11bo$9b2o12b2o29bob5o3b5o40bo3b2o3b2o$bo3b2o16b2o31bo11bo39bo4b2o3b2o
3b2o$obo2bo49bo3b2o3b2o23bo18b2o15bo$obo4bo46bo4b2o3b2o24bo31bo$bob5o
46b2o30b6o$3bo86bo$2bo3b2o81bo$bo4b2o15bobo$b2o10b2o8b2o$12bo2bo8bo$
12bobo$13bo94b2o13b2o$17b2o89bo4b2o3b2o4bo$17bo36b2o13b2o38bo3b2o3b2o
3bo$18b3o33bo4b2o3b2o4bo39bo11bo$20bo34bo3b2o3b2o3bo38bob5o3b5obo$56bo
11bo38bobo4bo3bo4bobo$b2o13b2o36bob5o3b5obo36bobo2bo7bo2bobo$bo4b2o3b
2o4bo35bobo4bo3bo4bobo36bo3b2o5b2o3bo$2bo3b2o3b2o3bo36bobo2bo7bo2bobo$
3bo11bo38bo3b2o5b2o3bo$bob5o3b5obo$obo4bo3bo4bobo$obo2bo7bo2bobo$bo3b
2o5b2o3bo!
I haven't found a working final step though, so that'll also need to be found.

Edit: And here's a partially-completed blueprint.

Code: Select all

x = 458, y = 62, rule = B3/S23
227bo105bo$227bobo101bobo$209bo17b2o103b2o17bo$210bo139bo$208b3o139b3o
7$215bo129bo$216bo127bo$214b3o127b3o$208bobo139bobo$209b2o139b2o$209bo
9bo121bo9bo$219bobo117bobo$205b2o12b2o119b2o12b2o$205b2o64bo3b2o55bo3b
2o16b2o34bo3b2o5b2o3bo33bo3b2o5b2o3bo$270bobo2bo55bobo2bo52bobo2bo7bo
2bobo31bobo2bo7bo2bobo$270bobo4bo53bobo4bo50bobo4bo3bo4bobo31bobo4bo3b
o4bobo$94bobo174bob5o54bob5o51bob5o3b5obo33bob5o3b5obo$94b2o177bo60bo
37bo19bo11bo37bo11bo$84bo10bo176bo3b2o55bo3b2o32bobo17bo3b2o3b2o3bo35b
o3b2o3b2o3bo$85bo118bobo64bo4b2o54bo4b2o15bobo16bo16bo4b2o3b2o4bo33bo
4b2o3b2o4bo$83b3o119b2o8b2o54b2o31bobobo23b2o10b2o8b2o16bo17b2o13b2o
18bo14b2o13b2o$142bo62bo8bo2bo31bo93bo2bo8bo68bobo$88bo51bobo72bobo30b
obo92bobo26bo53bo$87bo53b2o73bo33bo93bo80bo$87b3o121b2o36bo98b2o95bo5b
o$144b2o66bo135bo76bo18bobo3bobo$80bo63bobo62b3o37bo99b3o$79bobo62bo
26bobobo33bo141bo92b3o3b3o$79bo2bo$b2o13bo51b2o10b2o46b2o82b2o13b2o42b
2o13b2o44b2o13b2o41b2o13b2o33b2o13b2o$bo4b2o9b2o49bo4b2o53bo4b2o3b2o
72bo4b2o3b2o4bo42bo4b2o3b2o4bo44bo4b2o3b2o4bo41bo4b2o3b2o4bo33bo4b2o3b
2o4bo$2bo3b2o8b2o51bo3b2o54bo3b2o3b2o6b3o64bo3b2o3b2o3bo44bo3b2o3b2o3b
o46bo3b2o3b2o3bo43bo3b2o3b2o3bo35bo3b2o3b2o3bo$3bo66bo59bo11bo3bo67bo
11bo46bo11bo48bo11bo45bo11bo37bo11bo$bob5o60bob5o53bob5o3b5o4bo64bob5o
3b5obo42bob5o3b5obo44bob5o3b5obo41bob5o3b5obo33bob5o3b5obo$obo4bo59bob
o4bo52bobo4bo3bo4b2o66bobo4bo3bo4bobo40bobo4bo3bo4bobo42bobo4bo3bo4bob
o39bobo4bo3bo4bobo31bobo4bo3bo4bobo$obo2bo10b3o48bobo2bo54bobo2bo7bo2b
obo65bobo2bo7bo2bobo40bobo2bo7bo2bobo42bobo2bo7bo2bobo39bobo2bo7bo2bob
o31bobo2bo7bo2bobo$bo3b2o11bo49bo3b2o16b2o36bo3b2o5b2o3bo67bo3b2o5b2o
3bo42bo3b2o5b2o3bo44bo3b2o5b2o3bo41bo3b2o5b2o3bo33bo3b2o5b2o3bo$17bo
58b2o12b2o57b2o$20b2o53bobo70b2o$20bobo54bo9bo54b2o6bo$20bo65b2o53bobo
$86bobo54bo$80b3o$80bo$81bo7$86b3o$86bo$68b2o17bo$67bobo$69bo!

Code: Select all

x = 35, y = 5, rule = B3/S23
4b2o3b2o3bo3b2ob2o3b2ob2o$2o2bobo3bo2bobobobobobobobobobo$obobo2bo2bob
o2bobo2bo2bobo3bobo$2bobo3bobobobo2bo5bobo3bobob2o$b2ob2o3b2ob2o3b2o3b
2ob2o3b2ob2o!

mattiward
Posts: 36
Joined: February 8th, 2018, 3:19 am

Re: Synthesising Oscillators

Post by mattiward » October 3rd, 2021, 11:38 pm

xp98_w33y133zgo6iqxqi6ogxjjz01qpy1pq1xgdpxccz0gye8k8z121y5ggy1ggz33xooy111y111zy1ccx8s3pdxdp3s8zy8dcy1cd from 45 gliders:

Code: Select all

x = 448, y = 223, rule = B3/S23
186bobo$187b2o85bo$187bo85bo$273b3o3$193bo78bo$194b2o74b2o$193b2o76b2o
3$200bo3bo$198bobo4b2o75bobo$199b2o3b2o76b2o$283bo$194bo$195bo47bo$
193b3o47bobo$243b2o19bo$262b2o$263b2o7$261bo$213bobo43b2o$214b2o44b2o$
214bo6$187bo$185bobo$186b2o3$194bo$195bo$193b3o6bobo$203b2o7bo7bo$203b
o6bobo8b2ob2o$211b2o7b2o2bobo$224bo$230bo36bobo$228b2o10bo26b2o$229b2o
8bo28bo$215bo23b3o$215b2o$214bobo44bo$251bo7b2o$250bo9b2o$242bobo5b3o$
242b2o$243bo$215b3o$217bo8b2o10b3o$216bo10b2o9bo$186b2o5b2o31bo12bo$
185bobo4bobo37bo$187bo6bo35bobo2b2o$231b2ob2o$236bo4$261bo6bo$260b2o5b
2o$260bobo4bobo10$243b2o$193b3o47bobo$195bo47bo$194bo5$214bo$214b2o44b
2o$213bobo43b2o$261bo2$174b3o72b2o4bo$176bo72bobo2b2o$175bo73bo4bobo3$
186bo74bo$186b2o72b2o$185bobo72bobo3$183b2o$182bobo$184bo82b2o$266b2o$
268bo39$187bo43bo$185bobo42bo$186b2o42b3o8$95bo43bo$96bo42bobo$94b3o
42b2o6$354bo$355bo$179bo173b3o12bo$180bo185b2o$178b3o186b2o3$361bo2bo$
o186bo171bobo2bobo62bo4b2o$b2ob2o46bo49bo82bobo7bo16bo61b2o71b2o11b2o
2b2o51b2o9bobo3b2o$2o2bobo44bobo47bobo82b2o8b2o6bo6bobo55b2o2b2obo5b2o
55bo6bobo3b2o55b2o5bob2o2b2o5bo$4bo47b2o48b2o91b2o8bo6b2o55b2o3bobo5b
2o55b2o4bo2bo3b2o55b2o5bobo3b2o$147bo55b3o70bo66bo3bo17bobo4bo3bo39bo$
146bo60b2o69bo64bobo20b2o2bobo2bo38bo22b2o2b2o$146b3o59b2o156bo4b2o2b
3o59b2o2b2o$207bo70bo64bobo68bo$276bo66bo3bo68bo$54bo47b2o108b2o55b2o
3bobo5b2o55b2o4bo2bo3b2o55b2o5bobo3b2o$50b2o2bobo9bo34bobo35bo71bobo
18bo36b2o2b2obo5b2o55bo6bobo3b2o55b2o5bob2o2b2o$51b2ob2o5b2ob2o36bo11b
o16bo7bobo70bo18b3o40b2o22b2o47b2o7bo14b2o44b2o22b2o$50bo9bobo2b2o46bo
bo6bo6b2o8b2o82b2o4b2o3bob2o55b2o2b2obo5b2o48bobo4bo6bobo3b2o55b2o5bob
2o2b2o$62bo50b2o6bo8b2o91b2o4bo2b2o2b2o55b2o3bobo5b2o48b2o5b2o4bo2bo3b
2o55b2o5bobo3b2o$121b3o105bob2o67bo66bo3bo68bo$118b2o150bo31bo64bobo
52bobo13bo$117b2o59b3o4b3o82b2o2b2o3b2o63b2o2b2o64b2o2b2o2b2o$119bo60b
o6bo81bobob2o4bobo20bo41b2o2b2o17bobo44b2o2b2o3bo14bo$179bo6bo42bob2o
42bo3bo20bo66bo3bo68bo$12bo50b2o48b2o108b2o4bo2b2o2b2o55b2o3bobo5b2o
55b2o4bo2bo3b2o55b2o5bobo3b2o$10bobo2b2o46bobo47bobo107b2o4b2o3bob2o
55b2o2b2obo5b2o49bo5bo6bobo3b2o49bo5b2o5bob2o2b2o$11b2ob2o48bo49bo116b
3o47b2o2b2o11b2o51b2o3bobo12b2o48b2o3bobo12b2o$16bo215bo47bobo2bobo63b
2o4bo63b2o4bo$282bo2bo3$139b3o4b3o129b2o$139bo6bo132b2o$140bo6bo130bo
12b3o$291bo$292bo6$186b2o42b3o$185bobo42bo$187bo43bo8$94b3o42b2o$96bo
42bobo$95bo43bo!

User avatar
wwei47
Posts: 1651
Joined: February 18th, 2021, 11:18 am

Re: Synthesising Oscillators

Post by wwei47 » October 5th, 2021, 8:37 am

iNoMed wrote:
October 2nd, 2021, 9:10 am
Here's a potential lead on a synthesis of the period-22 pre-pulsar shuttle (Specifically, a suitably-edgy inserter for the Bellman 1 catalyst):

Code: Select all

x = 126, y = 43, rule = B3/S23
2bo$obo$b2o17bo$19bo$19b3o6$69bo$14bo52bobo$13bo54b2o6bo$13b3o58b2o32b
o3b2o5b2o3bo$19bobo53b2o30bobo2bo7bo2bobo$19b2o33bo3b2o5b2o3bo36bobo4b
o3bo4b3o$10bo9bo32bobo2bo7bo2bobo36bob5o3b5o$8bobo42bobo4bo3bo4b2o39bo
11bo$9b2o12b2o29bob5o3b5o40bo3b2o3b2o$bo3b2o16b2o31bo11bo39bo4b2o3b2o
3b2o$obo2bo49bo3b2o3b2o23bo18b2o15bo$obo4bo46bo4b2o3b2o24bo31bo$bob5o
46b2o30b6o$3bo86bo$2bo3b2o81bo$bo4b2o15bobo$b2o10b2o8b2o$12bo2bo8bo$
12bobo$13bo94b2o13b2o$17b2o89bo4b2o3b2o4bo$17bo36b2o13b2o38bo3b2o3b2o
3bo$18b3o33bo4b2o3b2o4bo39bo11bo$20bo34bo3b2o3b2o3bo38bob5o3b5obo$56bo
11bo38bobo4bo3bo4bobo$b2o13b2o36bob5o3b5obo36bobo2bo7bo2bobo$bo4b2o3b
2o4bo35bobo4bo3bo4bobo36bo3b2o5b2o3bo$2bo3b2o3b2o3bo36bobo2bo7bo2bobo$
3bo11bo38bo3b2o5b2o3bo$bob5o3b5obo$obo4bo3bo4bobo$obo2bo7bo2bobo$bo3b
2o5b2o3bo!
Done:

Code: Select all

x = 34, y = 32, rule = B3/S23
11bobo$12b2o$12bo12bo$25bobo$25b2o$32bo$31bo$31b3o$bo3b2o5b2o3bo6bo$o
bo2bo7bo2bobo3b2o$obo4bo3bo4b2o5b2o3bobo$bob5o3b5o12b2o$3bo11bo13bo$2b
o3b2o3b2o$bo4b2o3b2o$b2o2$25b2o$17bo7b2o$16bobo$17bo3$25b2o$b2o13b2o7b
obo$bo4b2o3b2o4bo7bo$2bo3b2o3b2o3bo$3bo11bo$bob5o3b5obo$obo4bo3bo4bob
o$obo2bo7bo2bobo$bo3b2o5b2o3bo!
Help me find high-period c/2 technology!
My guide: https://bit.ly/3uJtzu9
My c/2 tech collection: https://bit.ly/3qUJg0u
Overview of periods: https://bit.ly/3LwE0I5
Most wanted periods: 76,116

User avatar
iNoMed
Moderator
Posts: 607
Joined: August 29th, 2020, 3:05 pm
Location: Scotland

Re: Synthesising Oscillators

Post by iNoMed » October 5th, 2021, 8:45 am

And the updated blueprint, sans object placement:

Code: Select all

x = 487, y = 62, rule = B3/S23
227bo113bo$227bobo109bobo$209bo17b2o111b2o17bo$210bo147bo$208b3o147b3o
7$215bo69bobo65bo66bobo$216bo68b2o65bo68b2o$214b3o56bo12bo65b3o66bo12b
o$208bobo60bobo84bobo73bobo$209b2o61b2o84b2o74b2o$209bo9bo46bo82bo9bo
81bo$219bobo45bo79bobo90bo$205b2o12b2o44b3o80b2o12b2o76b3o$205b2o67bo
6bo3b2o53bo3b2o16b2o46bo3b2o5b2o3bo6bo35bo3b2o5b2o3bo$275b2o3bobo2bo
53bobo2bo64bobo2bo7bo2bobo3b2o35bobo2bo7bo2bobo$268bobo3b2o5b2o4bo51bo
bo4bo62bobo4bo3bo4b2o5b2o3bobo28bobo4bo3bo4bobo$94bobo172b2o12b5o52bob
5o63bob5o3b5o12b2o30bob5o3b5obo$94b2o173bo13bo58bo40bobobo24bo11bo13bo
32bo11bo$84bo10bo190b2o53bo3b2o64bo3b2o3b2o48bo3b2o3b2o3bo$85bo118bobo
79b2o52bo4b2o15bobo45bo4b2o3b2o47bo4b2o3b2o4bo$83b3o119b2o8b2o95bobobo
23b2o10b2o8b2o46b2o42bo14b2o13b2o$142bo62bo8bo2bo133bo2bo8bo89bobo$88b
o51bobo72bobo23bobobo26b2o77bobo80b2o19bo$87bo53b2o73bo55b2o7bo70bo73b
o7b2o18bo$87b3o121b2o67bobo73b2o67bobo46bo5bo$144b2o66bo68bo74bo69bo
27bo18bobo3bobo$80bo63bobo62b3o145b3o$79bobo62bo26bobobo33bo149bo113b
3o3b3o$79bo2bo189b2o160b2o$b2o13bo51b2o10b2o46b2o82b2o13b2o42bobo7b2o
13b2o42b2o13b2o53b2o13b2o7bobo32b2o13b2o$bo4b2o9b2o49bo4b2o53bo4b2o3b
2o72bo4b2o3b2o4bo44bo7bo4b2o3b2o4bo42bo4b2o3b2o4bo53bo4b2o3b2o4bo7bo
34bo4b2o3b2o4bo$2bo3b2o8b2o51bo3b2o54bo3b2o3b2o6b3o64bo3b2o3b2o3bo54bo
3b2o3b2o3bo44bo3b2o3b2o3bo55bo3b2o3b2o3bo44bo3b2o3b2o3bo$3bo66bo59bo
11bo3bo67bo11bo56bo11bo46bo11bo57bo11bo46bo11bo$bob5o60bob5o53bob5o3b
5o4bo64bob5o3b5obo41bo10bob5o3b5obo42bob5o3b5obo53bob5o3b5obo10bo31bob
5o3b5obo$obo4bo59bobo4bo52bobo4bo3bo4b2o66bobo4bo3bo4bobo40b2o8bobo4bo
3bo4bobo40bobo4bo3bo4bobo51bobo4bo3bo4bobo8b2o30bobo4bo3bo4bobo$obo2bo
10b3o48bobo2bo54bobo2bo7bo2bobo65bobo2bo7bo2bobo39bobo8bobo2bo7bo2bobo
40bobo2bo7bo2bobo51bobo2bo7bo2bobo8bobo29bobo2bo7bo2bobo$bo3b2o11bo49b
o3b2o16b2o36bo3b2o5b2o3bo67bo3b2o5b2o3bo52bo3b2o5b2o3bo42bo3b2o5b2o3bo
53bo3b2o5b2o3bo42bo3b2o5b2o3bo$17bo58b2o12b2o57b2o$20b2o53bobo70b2o$
20bobo54bo9bo54b2o6bo$20bo65b2o53bobo$86bobo54bo$80b3o$80bo$81bo7$86b
3o$86bo$68b2o17bo$67bobo$69bo!

Code: Select all

x = 35, y = 5, rule = B3/S23
4b2o3b2o3bo3b2ob2o3b2ob2o$2o2bobo3bo2bobobobobobobobobobo$obobo2bo2bob
o2bobo2bo2bobo3bobo$2bobo3bobobobo2bo5bobo3bobob2o$b2ob2o3b2ob2o3b2o3b
2ob2o3b2ob2o!

MathAndCode
Posts: 5141
Joined: August 31st, 2020, 5:58 pm

Re: Synthesising Oscillators

Post by MathAndCode » October 5th, 2021, 3:46 pm

iNoMed wrote:
October 5th, 2021, 8:45 am
And the updated blueprint, sans object placement:
Making that boat predecessor only requires three gliders, not five.

Code: Select all

x = 216, y = 32, rule = B3/S23
133bobo$134b2o$134bo12bo$33bo113bobo$33bobo111b2o$33b2o3$bo3b2o5b2o3b
o49bo3b2o5b2o3bo39bo3b2o5b2o3bo6bo41bo3b2o5b2o3bo$obo2bo7bo2bobo47bob
o2bo7bo2bobo37bobo2bo7bo2bobo3b2o41bobo2bo7bo2bobo$obo4bo3bo4b2o48bob
o4bo3bo4b2o38bobo4bo3bo4b2o5b2o40bobo4bo3bo4bobo$bob5o3b5o51bob5o3b5o
41bob5o3b5o50bob5o3b5obo$3bo11bo53bo11bo43bo11bo52bo11bo$2bo3b2o3b2o55b
o3b2o3b2o45bo3b2o3b2o21bo32bo3b2o3b2o3bo$bo4b2o3b2o54bo4b2o3b2o44bo4b
2o3b2o19b2o32bo4b2o3b2o4bo$b2o64b2o54b2o26bo3b2o31b2o13b2o$89b2o58b2o
$88bo2bo58b2o57bo$88bo2bo47bo69bo$89b2o47bobo63b2o3bo$139bo9b2o53b2o$
148b2o$150bo$90bo$b2o13b2o49b2o13b2o5b2o32b2o13b2o48b2o13b2o$bo4b2o3b
2o4bo15bo33bo4b2o3b2o4bo5bobo31bo4b2o3b2o4bo48bo4b2o3b2o4bo$2bo3b2o3b
2o3bo15b2o34bo3b2o3b2o3bo41bo3b2o3b2o3bo50bo3b2o3b2o3bo$3bo11bo16bobo
34bo11bo43bo11bo52bo11bo$bob5o3b5obo49bob5o3b5obo39bob5o3b5obo48bob5o
3b5obo9b2o$obo4bo3bo4bobo47bobo4bo3bo4bobo37bobo4bo3bo4bobo46bobo4bo3b
o4bobo7b2o$obo2bo7bo2bobo47bobo2bo7bo2bobo37bobo2bo7bo2bobo46bobo2bo7b
o2bobo9bo$bo3b2o5b2o3bo49bo3b2o5b2o3bo39bo3b2o5b2o3bo48bo3b2o5b2o3bo!
I am tentatively considering myself back.

User avatar
iNoMed
Moderator
Posts: 607
Joined: August 29th, 2020, 3:05 pm
Location: Scotland

Re: Synthesising Oscillators

Post by iNoMed » October 12th, 2021, 2:32 pm

Here's a synthesis of 83bismuth38's new "66P62" period-62 Fumarole hassler in 32 gliders:

Code: Select all

x = 26, y = 39, rule = B3/S23
3bo18bo$4b2o14b2o$3b2o16b2o7$9bobo2bobo$10b2o2b2o$10bo4bo$o24bo$b2o20b
2o$2o5bobo6bobo5b2o$8b2o6b2o$8bo8bo8$9bobo2bobo$7b2o2b4o2b2o$b2o5b2o6b
2o5b2o$b2o6bo6bo6b2o8$b2o6bo6bo6b2o$b2o5b2o6b2o5b2o$7b2o2b4o2b2o$9bobo
2bobo!
Thankfully the 8G Fumarole inserter works here :lol:

Code: Select all

x = 35, y = 5, rule = B3/S23
4b2o3b2o3bo3b2ob2o3b2ob2o$2o2bobo3bo2bobobobobobobobobobo$obobo2bo2bob
o2bobo2bo2bobo3bobo$2bobo3bobobobo2bo5bobo3bobob2o$b2ob2o3b2ob2o3b2o3b
2ob2o3b2ob2o!

User avatar
wwei47
Posts: 1651
Joined: February 18th, 2021, 11:18 am

Re: Synthesising Oscillators

Post by wwei47 » October 15th, 2021, 9:24 am

Star-based middleweight volcano synthesis reduction:

Code: Select all

x = 53, y = 51, rule = B3/S23
7bo43bo$5bobo33bo8bo$6b2o25bo5b2o9b3o$32bo7b2o$32b3o3$42bo$41bo$41b3o
11$5bo$4b3o17bo$2b3ob3o7b2o5bobo$2bo5bo6bo2bo4b2o$b2o5b2o6b2o$2o7b2o$
b2o5b2o12b2o$2bo5bo12bo2bo$2b3ob3o13b2o$4b3o21bo$5bo11bo10b2o2b3o$16b
obo8bobo2bo$16bobo14bo$17bo15$38b3o$38bo$39bo!

Help me find high-period c/2 technology!
My guide: https://bit.ly/3uJtzu9
My c/2 tech collection: https://bit.ly/3qUJg0u
Overview of periods: https://bit.ly/3LwE0I5
Most wanted periods: 76,116

User avatar
iNoMed
Moderator
Posts: 607
Joined: August 29th, 2020, 3:05 pm
Location: Scotland

Re: Synthesising Oscillators

Post by iNoMed » October 15th, 2021, 12:50 pm

And here's a very rough blueprint for inserting the star after the still-life, just to demonstrate a potential idea to reduce this to around 150 gliders:

Code: Select all

x = 96, y = 34, rule = B3/S23
13b2o35b2o35b2o$9b2o2bo32b2o2bo32b2o2bo$8bo2bobo31bo2bobo31bo2bobo$4b
2obobobob2o26b2obobobob2o26b2obobobob2o$4bob2obobobo27bob2obobobo27bob
2obobobo$10bo4bo31bo4bo31bo4bo$5b4obob3obo25b4obob3obo25b4obob3obo$4bo
3bobobo3bo24bo3bobobo3bo24bo3bobobo3bo$5b3o2bo2b3o26b3o2bo2b3o26b3o2bo
2b3o$7bobobobo30bobobobo30bobobobo$8bobobo32bobobo32bobobo$10bo36bo36b
o7bo$3bo5bobo34bobo34bobo4bobo$4bo4bobo34bobo34bobo5b2o$2b3o5bo7bo28bo
25b3o8bo$18bobo54bo3bo10bo$18b2o54bo2b2o10b2o$11b2o30b2o3b2o28b2o5bo3b
obo$10bobo30bo3bobob2o31bobo$10b2o35b2o3bo31b2o$5b2o35b2o36bo4bo$5bobo
34bobo34bob2o$6b2o5b2o28b2o5b2o28b2o5b2o$13bobo34bobo33b2obo$14b2o35b
2o30bo4bo$9b2o31bo3b2o35b2o$8bobo31b2obobo3bo30bobo$8b2o35b2o3b2o25bob
o3bo5b2o$b2o75b2o10b2o2bo$obo75bo10bo3bo$2bo13b3o74b3o$16bo59b2o$17bo
58bobo$76bo!
Edit: rewound the second/third steps a little bit:

Code: Select all

x = 65, y = 35, rule = B3/S23
10b2o43b2o$6b2o2bo40b2o2bo$5bo2bobo39bo2bobo$b2obobobob2o34b2obobobob
2o$bob2obobobo35bob2obobobo$7bo4bo39bo4bo$2b4obob3obo33b4obob3obo$bo3b
obobo3bo32bo3bobobo3bo$2b3o2bo2b3o34b3o2bo2b3o$4bobobobo38bobobobo$5bo
bobo40bobobo4bo$7bo44bo7bo$6bobo42bobo4b3o$6bobo42bobo$7bo33b2o9bo$3bo
8bo27bobo3bobo$bobo9bo28bo3b2o4bo5b2o$ob3o3b2o2bo34bo5b2o2b2o$7bobo2b
3o37b3o4bo$7b2o3bo40bo$2b2o43b2o$2bobo42b3o$3b2o5b2o34bobo7bobo$10bobo
42b3o$11b2o43b2o$2bo3b2o43bo$3o2bobo37bo4b3o$2bo2b2o3b3obo31b2o2b2o5bo
$bo9bobo31b2o5bo4b2o3bo$2bo8bo44bobo3bobo$62b2o2$44b3o$44bo$45bo!
Edit 2: HFs activated by gliders.

Code: Select all

x = 24, y = 34, rule = B3/S23
15b2o$11b2o2bo$10bo2bobo$6b2obobobob2o$6bob2obobobo$12bo4bo$7b4obob3ob
o$6bo3bobobo3bo$7b3o2bo2b3o$9bobobobo$o9bobobo$b2o9bo$2o9bobo7bobo$4bo
6bobo7b2o$5b2o5bo9bo$4b2o3bo$8bobo$9bo3b2o4bo$12bobo3b2o$12b2o4bobo$7b
2o$7bobo$8b2o5b2o$15bobo$16b2o$4bobo4b2o$5b2o3bobo$5bo4b2o$15b2o$16b2o
$2bo12bo$2b2o17b2o$bobo16b2o$22bo!

Code: Select all

x = 35, y = 5, rule = B3/S23
4b2o3b2o3bo3b2ob2o3b2ob2o$2o2bobo3bo2bobobobobobobobobobo$obobo2bo2bob
o2bobo2bo2bobo3bobo$2bobo3bobobobo2bo5bobo3bobob2o$b2ob2o3b2ob2o3b2o3b
2ob2o3b2ob2o!

User avatar
Ian07
Moderator
Posts: 891
Joined: September 22nd, 2018, 8:48 am
Location: New Jersey, US

Re: Synthesising Oscillators

Post by Ian07 » October 16th, 2021, 1:17 pm

New Achim's p144 variants in 14G, 22G, and 21G respectively:

Code: Select all

x = 214, y = 474, rule = B3/S23
164bo$164bobo$164b2o$159bo$157bobo$158b2o5$137b2o$137b2o3$126b2o$125bo
bo$125bo$124b2o2$12bo124bo$13b2o121bobo$12b2o122bobo6bobo$137bo7b2o$
146bo$154bobo$154b2o$155bo$138b2o$7b2o128bobo$6bobo130bo7bo$6bo16bo
122b2o$5b2o15bo123bobo$22b3o3$21b2o$20b2o122b3o$22bo123bo3bo$145bo3b2o
$149bobo36$95bo$95b2o$94bobo143$199bo$199bobo$199b2o$194bo$192bobo$
193b2o5$172b2o$172b2o2$7bo$8b2o151b2o$7b2o151bobo$160bo$159b2o2$172bo$
171bobo$171bobo6bobo$2b2o168bo7b2o$bobo177bo$bo16bo$2o15bo172bo$17b3o
169bo$173b2o14b3o$172bobo$16b2o156bo7bo$15b2o164b2o28bo$17bo163bobo27b
obo$211b2o$186b3o$186bo18bobo$187bo17b2o$206bo2$206b2o$206bobo$206bo2$
185b2o$185bobo15bo$185bo16b2o$37b3o139b2o21bobo$37bo140bobo$32b2o4bo
141bo$33b2o$32bo122b2o$154bobo$156bo$167b2o$167bobo$167bo134$182bo$
182bobo$182b2o$177bo$175bobo$176b2o5$155b2o$155b2o3$144b2o$143bobo$
143bo$142b2o2$155bo$154bobo$154bobo6bobo$155bo7b2o$164bo2$173bo$172bo$
156b2o14b3o$155bobo$157bo7bo$128bo35b2o$126bobo35bobo$127b2o$169b3o$
132bobo34bo$133b2o35bo$133bo2$132b2o$131bobo$133bo2$153b2o$136bo15bobo
$136b2o16bo$135bobo21b2o$159bobo$159bo2$183b2o$183bobo$183bo$171b2o$
170bobo$172bo9$188b3o$188bo$189bo!
EDIT: Eatier variant by dani:

Code: Select all

x = 120, y = 504, rule = B3/S23
78bo$77bo$77b3o3$70bo$71bo3bo$69b3ob2o$74b2o$64bo$65b2o$64b2o15$43b2o$
43b2o3$32b2o$31bobo$31bo$30b2o2$43bo$42bobo$42bobo6bobo$43bo7b2o$52bo$
60bobo$60b2o$61bo$44b2o$43bobo$45bo7bo$52b2o$52bobo5$50b3o$52bo3bo$51b
o3b2o$55bobo36$bo$b2o$obo127$113bo$112bo$112b3o3$105bo$106bo3bo$104b3o
b2o$109b2o$99bo$100b2o$99b2o15$78b2o$78b2o3$67b2o$66bobo$66bo$65b2o2$
78bo$77bobo$77bobo6bobo$78bo7b2o$87bo2$96bo$95bo$79b2o14b3o$78bobo$80b
o7bo$87b2o28bo$87bobo27bobo$117b2o$92b3o$92bo18bobo$93bo17b2o$112bo2$
112b2o$112bobo$112bo2$91b2o$91bobo15bo$91bo16b2o$85b2o21bobo$84bobo$
86bo9$68b2o$67b2o$69bo$58b2o$59b2ob3o$58bo3bo$63bo3$54b3o$56bo$55bo
105$96bo$95bo$95b3o3$88bo$89bo3bo$87b3ob2o$92b2o$82bo$83b2o$82b2o15$
61b2o$61b2o3$50b2o$49bobo$49bo$48b2o2$61bo$60bobo$60bobo6bobo$61bo7b2o
$70bo2$79bo$78bo$62b2o14b3o$61bobo$63bo7bo$34bo35b2o$32bobo35bobo$33b
2o$75b3o$38bobo34bo$39b2o35bo$39bo2$38b2o$37bobo$39bo2$59b2o$42bo15bob
o$42b2o16bo$41bobo21b2o$65bobo$65bo16$94b3o$94bo$95bo3$70b2o$71b2o$70b
o$104b2o$75b3o25b2o$77bo27bo$76bo3$107b3o$107bo$108bo!

User avatar
May13
Posts: 787
Joined: March 11th, 2021, 8:33 am

Re: Synthesising Oscillators

Post by May13 » October 17th, 2021, 7:28 am

Final step for Merzenich's p11:

Code: Select all

x = 35, y = 35, rule = B3/S23
9bo$9bobo$9b2o5$8bo9b2o$7bobo4b2o3bo$3o5bobo4bo3bobo$2bo6bobo3bob2obob
o$bo8bobo3bobobobo$11bobo3bo2bo2b2o$12bobo5bo4bo$8bo4bo7b4o$8b3o14b3o$
11bo5bo5b2o2bo$10bobo3bobo3bobo$7bo2b2o5bo5bo$7b3o14b3o$10b4o7bo4bo$9b
o4bo5bobo$10b2o2bo2bo3bobo$12bobobobo3bobo8bo$12bobob2obo3bobo6bo$13bo
bo3bo4bobo5b3o$15bo3b2o4bobo$15b2o9bo5$24b2o$23bobo$25bo!
Basic reaction:

Code: Select all

x = 48, y = 21, rule = B3/S23
11b2o25b2o$12bo26bo$12bobo24bobo$10b2obobo21b2obobo$9bobobobo20bobobob
o$10bo2bo2b2o16bo2bo2bo2b2o$13bo4bo15bo5bo4bo$14b4o14b2o7b4o$18b3o24b
3o$4bo5bo5b2o2bo10bo5bo5b2o2bo$3bobo3bobo3bobo12bobo3bobo3bobo$o2b2o5b
o5bo10bo2b2o5bo5bo$3o24b3o$3b4o23b4o7b2o$2bo4bo21bo4bo5bo$3b2o2bo2bo
19b2o2bo2bo2bo$5bobobobo20bobobobo$5bobob2o21bobob2o$6bobo24bobo$8bo
26bo$8b2o25b2o!
The latest version of hex-gliders.db have 668 gliders from OT hexagonal rules. Let's find more!
My CA (13 rules)
My scripts: new-glider.py v0.2 (new version), nbsearch2a.py, collector.py v0.3

MathAndCode
Posts: 5141
Joined: August 31st, 2020, 5:58 pm

Re: Synthesising Oscillators

Post by MathAndCode » October 17th, 2021, 7:57 pm

I improved the circle of fire synthesis.

Code: Select all

x = 4035, y = 145, rule = B3/S23
243bo$235bo5bobo$233bobo6b2o$234b2o13$244bo$245bo112bo$243b3o111bo$
357b3o3$262bo$260bobo$261b2o$359bo$358bo$325bo16bo15b3o$324bo17bobo$
324b3o15b2o3$1382bo2322bo$1381bo2324bo$245bo1135b3o2320b3o$243bobo$
244b2o6$1494bobo$1370bo124b2o16bo$337bo1031bo125bo15b2o2376bo20bo$336b
o1032b3o140b2o2376bo17b2o$336b3o1877bo1671b3o18b2o5bo$1146bo1067bobo
1699bobo$1144bobo220bobo6bo119bobo716b2o324bo124bo10bo8bobo4bo1222b2o$
1103bo41b2o221b2o7b2o118b2o1043bo117bobo4bo7bobo8b2o5bobo780bobo242bo$
1101bobo264bo7b2o113bobo3bo468bobo54bo516b3o118b2o2b3o8b2o3bo5bo5b2o
781b2o243bobo$1102b2o46bo341b2o25bo447b2o52bobo637bo18bo796bo12bo230b
2o$1052bo97bobo233bo105bo26bobo445bo49bo4b2o213bo312bo129b3o5bo68bo
730b2o183bo302b2o$1051bo92bobo3b2o100bo131b2o133b2o497bo8bo209bobo309b
o67bo69bo69bobo729b2o180b2o303b2o$1051b3o47b2o42b2o51b2o53bo4b2o110b2o
5bo7b2o586bo42b3o6b2o150bo59b2o310b3o63bobo69b3o67b2o720bo192b2o47b2o
132bobo$1102b2o41bo48bo3bo52b3o4bo105bo5bo7b2o534bobo54b2o53b2o147b2o
47bo391b2o38b3o83b2o62b2o669b2o241b2o133b2o166bo$1014bo86bo90bobo4bo
59bo104b2o5bo5b2o483bo51b2o56b2o202b2o45bobo313bo81bo36bo82bobo11bo49b
obo272bo387bo9b2o242bo133bo62bo54bo42bo5bobo3bo$1012b2o39bo91bo3b2o42b
2o5bo59bo102bobo6bo387bo52bo47bo53bo62bo101bo142b2o13bo301bo78b2o36bo
84bo12bo50bo271bobo275bo112bo299b2o52b2o78b2o15bo2bobo48bo43b2o3b2o2b
2o$1013b2o37bobo49b2o40bo2bobo49bo59bo111bo17bo369b2o48bobo47b3o113bo
43b2o56bo156b2o56b2o48b2o54b2o50b2o49b2o33b3o24b2o45b2o6b2o52b2o79bo
323b2o276b2o108b3o299b2o7bo44b2o19bo58b2o4b2o7b3o2b2o49bo42b2o9b2o$
945bo106b2o50b2o38b3o5bo49bo54b2o3bo106b2o3bo16bobo366b2o50b2o157bo5b
3o41bo48b2o7b3o42b2o48b2o47b2o12b2o54bo2bo46bo2bo52bo2bo35bo12bo2bo47b
o2bo58bo2bo43bo2bo58bo2bo2b2o10b3o114b3o545b2o21b2o286bo110bobo64b2o
63bo13bo$943bobo207bo41b3o5bo53b2o4bo106bo4bo15b2o40bobo122b2ob2o50b2o
b2o45b2ob2o38b2ob2o42bo16b2ob2o47b2ob2o40b2ob2o39b2o4b2ob2o38b2ob2o5b
2o42b2ob2o3bo39b2ob2o3bo45b2ob2o3bo41b2ob2o3bo40b2ob2o3bo62b2ob2o2bob
2o39b2ob2o2bob2o45b2ob2o2bob2o34bo6b2ob2o2bob2o40b2ob2o2bob2o51b2ob2o
2bob2o36b2ob2o2bob2o51b2ob2o2bob2o2bo11bo40b2ob2o2b2o55b2ob2o2b2o3bo
49b2ob2o2b2o40bo14b2ob2o2b2o59b2ob2o2b2o40b2ob2o2b2o47b2ob2o2b2o97b2ob
2o2b2o49b2ob2o2b2o48b2ob2o2b2o54bo12b2ob2o2b2o176b2ob2o2b2o66b2ob2o2b
2o7b2o43b2ob2o2b2o40b2ob2o2b2o7b2o36b2ob2o2b2o19b2o50b2ob2o2b2o4bo51b
2ob2o4b3o3b3o42b2ob2o$596b2o39b2o39b2o50b2o46b2o48b2o114b2o10b2o53b2o
39b2o50b2o46b2o43bo4b2o46b2o10b2o96bo7bo5b2o57b2o6b2o2b2o57b2o2b2o47bo
bobobo48bobobobo43bobobobo36bobobobo42bo14bobobobo45bobobobo34bo3bobob
obo38bobo2bobobobo36bobobobo4bobo40bobobobo3bo37bobobobo3bo43bobobobo
3bo3b2o34bobobobo3bo3b2o33bobobobo3bo3b2o55bobobobobo41bobobobobo47bob
obobobo37b3o3bobobobobo42bobobobobo53bobobobobo38bobobobobo10bo42bobob
obobo6b3o9bo38bobobobo2bo54bobobobo2bo4bo47bobobobo2bo41b2o11bobobobo
2bo58bobobobo2bo39bobobobo2bo46bobobobo2bo96bobobobo2bo48bobobobo2bo
47bobobobo2bo52bobo2b2o7bobobobo2bo85b2ob2o2b2o81bobobobo2bo65bobobobo
2bo6b2o43bobobobo2bo39bobobobo2bo44bobobobo2bo4b2o64bobobobo2bo4b2o49b
obobobo53bobobobo4bobo$596bo4bo2b2o31bo4bo2b2o31bo4bo2b2o42bo4bo2b2o
38bo4bo2b2o40bo4bo2b2o111bo6bo4bo2b2o45bo4bo2b2o31bo4bo2b2o42bo4bo2b2o
38bo4bo2b2o34bo5bo4bo2b2o39b2o9bo4bo2b2o86bobo7b2o4bo4bo2b2o50bo6bo2bo
2bo56bo2bo2bo13bo32bo2bo2bo48bo2bo2bo43bo2bo2bo36bo2bo2bo40b3o14bo2bo
2bo33b3o9bo2bo2bo34bo3bo2bo2bo34b2o3b2o2bo2bo2bo36bo2bo2bo47bo2bo2bo4b
o36bo2bo2bo4bo3b3o36bo2bo2bo4bo2b2o34bo2bo2bo4bo2b2o33bo2bo2bo4bo2b2o
55bo2bo2bobo41bo2bo2bobo47bo2bo2bobo34bo8bo2bo2bobo42bo2bo2bobo53bo2bo
2bobo38bo2bo2bobo10bobo40bo2bo2bobo8bo48bo2bo2bobo55bo2bo2bobo53bo2bo
2bobo37bo3b2o12bo2bo2bobo59bo2bo2bobo40bo2bo2bobo47bo2bo2bobo89b2o6bo
2bo2bobo41b2o6bo2bo2bobo40b2o6bo2bo2bobo53b2o3bobo6bo2bo2bobo85bobobob
o2bo81bo2bo2bobo66bo2bo2bobo52bo2bo2bobo40bo2bo2bobo45bo2bo2bobo6bo64b
o2bo2bobo6bo49bo2bo2bo7bo39bo5bo2bo2bo4b2o$598bobobo2bo33bobobo2bo33bo
bobo2bo44bobobo2bo40bobobo2bo42bobobo2bo112bo7bobobo2bo8bo38bobobo2bo
33bobobo2bo44bobobo2bo40bobobo2bo42bobobo2bo38bo13bobobo2bo87b2o15bobo
bo2bo58bobobo58bobobo13b2o33bobobo50bobobo45bobobo38bobobo59bobobo36bo
10bobobo35bo4bobobo34bobo8bobobo38bobobo49bobobo4b2o37bobobo4b2o3bo39b
obobo4b2o39bobobo4b2o38bobobo4b2o12b3o45bobobo2b2o41bobobo2b2o47bobobo
2b2o34bo8bobobo2b2o42bobobo2b2o35bo17bobobo2b2o38bobobo2b2o9b2o42bobob
o2b2o57bobobobo57bobobobo55bobobobo39bo17bobobobo61bobobobo42bobobobo
49bobobobo90bobo6bobobobo42bobo6bobobobo41bobo6bobobobo60bobo6bobobobo
78b2o6bo2bo2bobo83bobobobo68bobobobo54bobobobo42bobobobo7b2o38bobobobo
4b3o16bo49bobobobo4b3o51bobobo8bo4b3o30bobo6bobobo6bo$597b2obob2o34b2o
bob2o34b2obob2o45b2obob2o41b2obob2o43b2obob2o11bobo98b3o6b2obob2o9bo
38b2obob2o34b2obob2o45b2obob2o41b2obob2o43b2obob2o35b2o16b2obob2o105b
2obob2o59b2obob2o56b2obob2o12bobo31b2obob2o48b2obob2o43b2obob2o36b2obo
b2o44b3o10b2obob2o34bo10b2obob2o38b2obob2o35bo7b2obob2o34b4obob2o45b4o
bob2o39b4obob2o9bo35b4obob2o41b4obob2o40b4obob2o17bo37bo6b4obob2o41b4o
bob2o47b4obob2o35b3o5b4obob2o36b2o4b4obob2o39b2o6b2o4b4obob2o38b4obob
2o53b4obob2o57b4obob2o55b4obob2o39bobo11b4obob2o38b3o14b4obob2o59b4obo
b2o40b4obob2o47b4obob2o93bo3b4obob2o45bo3b4obob2o44bo3b4obob2o63bo3b4o
bob2o79bobo6bobobobo81b4obob2o66b4obob2o11b2o39b4obob2o40b4obob2o7b2o
36b4obob2o5bo17b2o46b4obob2o5bo50b4obob4o5bo4bo33b2o3b4obob4o$52bo543b
o3bo36bo3bo36bo3bo13bobo31bo3bo43bo3bo45bo3bo14b2o107bo3bo12b3o35bo3bo
36bo3bo36bo10bo3bo43bo3bo45bo3bo39b2o14bo3bo107bo3bo54b2o5bo3bo58bo3bo
10bo37bo3bo50bo3bo45bo3bo38bo3bo49bo9bo3bo46bo4bo39bo4bo44bo4bo36bo5bo
47bo5bo41bo5bo47bo5bo43bo5bo42bo5bo21bo37bo4bo5bo43bo5bo49bo5bo45bo5bo
38bo2bo2bo5bo41b2o6bo2bo2bo5bo40bo5bo55bo5bo24b2o33bo5bo57bo5bo43b2o
10bo5bo37bo19bo5bo61bo5bo42bo5bo49bo5bo96b2obo5bo48b2obo5bo47b2obo5bo
66b2obo5bo84bo3b4obob2o81bo5bo68bo5bo15b2o37bo5bo42bo5bo12bo34bo5bo26b
obo44bo5bo58bo5bo5bo10bo36bo5bo5bo$51bobo543b3ob3o34b3ob3o34b3ob3o10b
2o33b3ob3o41b3ob3o43b3ob3o12bo4bo103b3ob3o48b3ob3o34b3ob3o33b2o10b3ob
3o41b3ob3o43b3ob3o35bo4bo12b3ob3o105b3ob3o52b2o5b3ob3o56b3ob3o5b2o39b
3ob3o11bo36b3ob5o41b3ob5o34b3ob5o43bo11b3ob5o41b5ob5o34b5ob5o39b5ob5o
32b5ob5o5b3o35b5ob5o37b5ob5o43b5ob5o39b5ob5o4b2o32b5ob5o4b2o46b3o5b5ob
5o39b5ob5o45b5ob5o41b5ob5o34b2o4b5ob5o45b2o4b5ob5o36b5ob5o12bo38b5ob5o
18b2o35b5ob5o53b5ob5o38bo12b5ob5o33b2o18b5ob5o57b5ob5o38b5ob5o35bo9b5o
b5o95b5ob5o47b5ob5o46b5ob5o65b5ob5o79b2obo5bo83bob5ob5o62bob5ob5o9bo
38bob5ob5o36bob5ob5o41bob5ob5o67bob5ob5o52bob5ob5obo45bob5ob5obo$42b2o
8bo547bo3bo36bo3bo36bo3bo10bo36bo3bo43bo3bo45bo3bo14b2o107bo3bo50bo3bo
36bo3bo31bobo13bo3bo43bo3bo45bo3bo39b2o14bo3bo92b3o12bo3bo50bo10bo3bo
58bo3bo5b2o41bo3bo9bo40bo4bo44bo4bo37bo4bo58bo5bo45bo5bo38bo5bo43bo5bo
36bo5bo4bo42bo5bo41bo5bo47bo5bo43bo5bo2bo2bo36bo5bo2bo2bo6b2o50bo5bo
43bo5bo49bo5bo45bo5bo44bo5bo33bo21bo5bo40bo5bo10b2o43bo5bo19bo39bo5bo
57bo5bo55bo5bo31b2o24bo5bo61bo5bo42bo5bo32b2o15bo5bo99bo5bo38bo12bo5bo
50bo5bo40bobo26bo5bo82b5ob5o68bo10bo5bo5bo62bo5bo5bo48bo5bo5bob2o33bo
5bo5bob2o38bo5bo5bob2o64bo5bo5bob2o49bo5bo5bo47bo5bo5bo$42b2o553b2obob
2o34b2obob2o34b2obob2o45b2obob2o41b2obob2o43b2obob2o16b2o103b2obob2o
48b2obob2o34b2obob2o45b2obob2o41b2obob2o43b2obob2o39bobo11b2obob2o95bo
9b2obob2o6b3o35bobo12b2obob2o56b2obob2o46b2obob2o10b3o35b2obob2o10bo
32b2obob2o36b2obob2o7bo49b2obob4o43b2obob4o36b2obob4o41b2obob4o34b2obo
b4o6bo38b2obob4o39b2obob4o45b2obob4o5b3o33b2obob4o4b2o34b2obob4o4b2o6b
2o48b2obob4o41b2obob4o37bo9b2obob4o43b2obob4o42b2obob4o35bo17b2obob4o
38b2obob4o11bobo39b2obob4o14b3o40b2obob4o55b2obob4o53b2obob4o55b2obob
4o59b2obob4o40b2obob4o34b2o11b2obob4o97b2obob4o40b2o7b2obob4o42bo5b2ob
ob4o42b2o17bo5b2obob4o88bo5bo68bo4bo5b4obob4o64b4obob4o50b4obob4o3bo
34b4obob4o3bo39b4obob4o3bo65b4obob4o3bo50b4obob4o49b4obob4o3b2o$595bo
2bobobo33bo2bobobo33bo2bobobo44bo2bobobo40bo2bobobo42bo2bobobo13bo106b
o2bobobo15b2o33bobobo36bobobo47bobobo43bobobo45bobobo55bobobo95bo11bob
obo7bo38b2o13bobobo58bobobo48bobobo50bobobo10bo34bobobo4bo33bobobo8bob
o48bobobo47bobobo40bobobo45bobobo38bobobo49bobobo43bobobo49bobobo8bo
36bobobo44bobobo17bo48bobobo39b2o4bobobo41bo3b2o4bobobo41b2o4bobobo40b
2o4bobobo36b3o12b2o4bobobo38b2o2bobobo53b2o2bobobo17bo39b2o2bobobo55b
2o2bobobo42b2o9b2o2bobobo55b2o2bobobo61bobobobo42bobobobo49bobobobo99b
obobobo42b2o7bobobobo43b3o4bobobobo45bo16b3o4bobobobo82bo5b2obob4o67b
3o4bo8bobobo70bobobo56bobobo6bobo35bobobo6bobo40bobobo6bobo66bobobo6bo
bo51bobobo48bo6bobobo6bobo$595b2o2bo4bo31b2o2bo4bo31b2o2bo4bo42b2o2bo
4bo38b2o2bo4bo5bo34b2o2bo4bo9b2o107b2o2bo4bo4b2o7bobo31bo2bo2bo34bo2bo
2bo45bo2bo2bo41bo2bo2bo43bo2bo2bo53bo2bo2bo105bo2bo2bo7bo37bo13bo2bo2b
o56bo2bo2bo6bo39bo2bo2bo14b3o31bo2bo2bo9b3o31bo2bo2bo3bo32bo2bo2bo2b2o
3b2o48bo2bo2bo45bo2bo2bo38bo2bo2bo43bo2bo2bo36bo2bo2bo47bo2bo2bo41bo2b
o2bo47bo2bo2bo8bo34bo2bo2bo42bo2bo2bo64bo2bo2bo38bo4bo2bo2bo38b3o3bo4b
o2bo2bo36b2o2bo4bo2bo2bo35b2o2bo4bo2bo2bo46b2o2bo4bo2bo2bo38bobo2bo2bo
53bobo2bo2bo12b2o3bo39bobo2bo2bo55bobo2bo2bo40bobo10bobo2bo2bo46bo8bob
o2bo2bo41bo17bobo2bo2bo40bobo2bo2bo47bobo2bo2bo97bobo2bo2bo49bobo2bo2b
o41bo6bobo2bo2bo60bo6bobo2bo2bo79b3o4bobobobo77bo7bo2bo2bo68bo2bo2bo
54bo2bo2bo6b2o34bo2bo2bo6b2o39bo2bo2bo6b2o65bo2bo2bo6b2o50bo2bo2bo47b
2o4bo2bo2bo5bo$obo41bo243bo314b2o39b2o39b2o50b2o46b2o4bo43b2o10b2o114b
2o5bo7bo34b2o2b2o35b2o2b2o46b2o2b2o42b2o2b2o44b2o2b2o54b2o2b2o106b2o2b
2o11b2o47b2o2b2o56bobobobo6b2o38bobobobo14bo33bobobobo43bobobobo3bo32b
obobobo2bobo52bobobobo45bobobobo38bobobobo43bobobobo36bobobobo47bobobo
bo41bobobobo47bobobobo3b3o37bobobobo42bobobobo57bobo4bobobobo39bo3bobo
bobo45bo3bobobobo36b2o3bo3bobobobo35b2o3bo3bobobobo46b2o3bo3bobobobo
38bobobobobo53bobobobobo11b2o44bobobobobo55bobobobobo42bo10bobobobobo
36bo9b3o6bobobobobo39bobo16bo2bobobobo34bo4bo2bobobobo38b2o6bo2bobobob
o96bo2bobobobo48bo2bobobobo41b2o4bo2bobobobo60b2o4bo2bobobobo78bo6bobo
2bo2bo84bobobobo68bobobobo54bobobobo42bobobobo47bobobobo73bobobobo58bo
bobobo46bobo4bobobobo$b2o40bobo241bobo447bo47bo5b3o41bo4b2o104b2o15bo
4bo424bobo109b2ob2o6bobo39b2ob2o16bo33b2ob2o45b2ob2o38b2ob2o4b2o53b2ob
2o47b2ob2o40b2ob2o45b2ob2o38b2ob2o49b2ob2o43b2ob2o49b2ob2o6bo38b2ob2o
44b2ob2o59b2o5b2ob2o41bo3b2ob2o47bo3b2ob2o43bo3b2ob2o42bo3b2ob2o53bo3b
2ob2o36b2obo2b2ob2o51b2obo2b2ob2o14bo40b2obo2b2ob2o53b2obo2b2ob2o51b2o
bo2b2ob2o38bo11bo2b2obo2b2ob2o41b2o16b2o2b2ob2o36bo3b2o2b2ob2o38b2o7b
2o2b2ob2o97b2o2b2ob2o40b2o7b2o2b2ob2o48b2o2b2ob2o46b2o19b2o2b2ob2o79b
2o4bo2bobobobo72b3o3b3o4b2ob2o70b2ob2o56b2ob2o44b2ob2o49b2ob2o75b2ob2o
60b2ob2o55b2ob2o$bo3bobo34bo2bo242bo355b2o39b2o51bo5b3o39bo49bo3b2o
103bobo16bo3b2o423bo177b2o53b2o498bo144b3o5bo53bo43b3o7b2o50b2o49b2o
46b2o12b2o44bo2bo58bo2bo62bo2bo60bo2bo58bo2bo43b3o10b2o2bo2bo109b3o52b
o160bobo118b2o109bo4b2o2b2ob2o364b2o$5b2o36b2o556b2o40bobo39b2o52bobo
2bo42bo49bo109bo17bo604b2o54bobo42b3o562b3o34bo58b2o45bo159b2o58b2o60b
2o64b2o62b2o52b2o6b2o62b2o52bo275bo7b2o55b2o54bo19b2o72bo13bo91bo102b
2o181b2o161b2o9b2o$6bo31b3o561b2o40bo95b2o3bo42bo5b2o42bo127bo6bobo
596bo53bo46bo38bo523bo35bo105bo159bo13b2o292b2o87bo35bo12bo48bo221b2o
55b2o74b2o72b2o2b3o7b2o4b2o84bo102bobo182bo60b3o98b2o2b2o3b2o$601bo87b
o99bo4bobo42bo120b2o5bo5b2o697bo39b2o523bo39b2o209b2o61bobo291bo88bo
36bo11bobo46bobo161bo159bo104bobo2bo15b2o84bo102bo245bo99bo3bobo5bo$
45b2o640b2o56bo44bo3bo45bo4b3o111b2o7bo5bo736bobo564b2o47b2o160b2o61bo
296b2o83b3o46b2o47b2o163b2o157b2o109bo439b2o9bo104bo$44b2o598b3o41b2o
54b2o43b2o48b2o4bo106b2o7bo5b2o1256b3o49bo50b2o6b3o149bo49b2o309bobo
51b3o172b2o116b2o157bobo550b2o$46bo599bo92b2o3bobo99bo106b2o476b2o794b
o99bo8bo200bobo309bo55bo173b2o484b2o340bo$645bo92bobo211bo477bobo26bo
766bo56bo47b2o4bo201bo364bo5b3o165bo486b2o329b2o$687b2o51bo691bo25b2o
822b2o47bobo578bo18bo264b2o699b2o$687bobo271b2o7bo483bo3bobo773b3o45bo
bo46bo566b2o5bo5bo3b2o8b3o2b2o263bobo698bo12bo$687bo56b2o214b2o7b2o
482b2o779bo662bobo5b2o8bobo7bo4bobo264bo711b2o$744bobo215bo6bobo481bob
o779bo324b2o337bo4bobo8bo10bo981bobo$744bo1815bobo906b2o$2560bo907bobo
$967b3o468b2o2030bo5b2o18b3o$969bo469b2o15bo2020b2o17bo$968bo469bo16b
2o2019bo20bo$1455bobo8$238b3o714b3o2254b3o$240bo716bo2254bo$239bo716bo
2256bo8$331b2o$331bobo$331bo5$233b2o15b3o$232bobo17bo$216b3o15bo16bo$
218bo$217bo$314b2o$314bobo$314bo3$217b3o$219bo111b3o$218bo112bo$332bo
13$341b2o$333b2o6bobo$333bobo5bo$333bo!
I am tentatively considering myself back.

User avatar
wwei47
Posts: 1651
Joined: February 18th, 2021, 11:18 am

Re: Synthesising Oscillators

Post by wwei47 » October 19th, 2021, 8:21 am

Saved 1 more glider from the star-based MW volcano synthesis by changing the order of two of the steps, so that Blinkerspawn's step optimization can be used.

Code: Select all

x = 217, y = 81, rule = B3/S23
155bobo$155b2o$156bo3$152bobo$152b2o$153bo2$139bo$127bo10bobo$127bo11b
obo$125b2ob2o11bo2bo$140b2obobo5b3o$123bobo3bobo7bo2b2obo5bo$123bo7bo
4b2o2bo4b3o4bo$121b2o9b2obo2b2ob4o3bo$74bo12bo35bo7bo4b2o2bo4b3o$75b2o
10bobo33bobo3bobo7bo2b2obo$15bo58b2o11b2o51b2ob2o$15bobo65bo41b2ob2o$
15b2o64bobo43bo$12bo63bobo3b2o43bo20bo$10bobo64b2o67b2o$11b2o4b2o58bo
69b2o$4b3o10bobo69b3o$19bo2bo47bo6b2o3b2o5bo$2bobobobo9b2obobo46bo6b2o
3bobo5bo58b2o$17bo2b2obo44b2ob2o11bo2bo60b2o$obo5bobo3b2o2bo4b3o57b2o
bobo61bo$o9bo2bo2b2ob4o3bo39bobo3bobo7bo2b2obo$obo5bobo3b2o2bo4b3o40b
o7bo4b2o2bo4b3o123bo$17bo2b2obo40b2o9b2obo2b2ob4o3bo122bobo$2bobobobo
9b2ob2o43bo7bo4b2o2bo4b3o123b2o$66bobo3bobo7bo2b2obo$4b3o76b2ob2o$68b
2ob2o$70bo$70bo137bo$207bobo$207bobo$208bo$199bo$187bo10bobo$187bo11b
obo$185b2ob2o11bo2b2o$200b2obob3o$183bobo3bobo7bo2b2o4bo$183bo7bo4b2o
2bo4b3o$181b2o9b2obo2b2ob4o$183bo7bo4b2o2bo4bo$183bobo3bobo7bo2b2obo$
200b2ob2o$185b2ob2o$187bo$187bo$131bo$131bobo$131b2o6$122b2o$122bobo$
123bo$117bo$105bo10bobo$105bo11bobo$103b2ob2o11bo2bo$118b2obobo$101bo
bo3bobo7bo2b2obo$101bo7bo4b2o2bo4b3o$99b2o9b2obo2b2ob4o3bo$101bo7bo4b
2o2bo4b3o$101bobo3bobo7bo2b2obo$118b2ob2o$103b2ob2o$105bo$105bo!

EDIT: Another simple save, by replacing a 4G spark inserter with a 3G one:

Code: Select all

x = 31, y = 22, rule = B3/S23
17bo$17bobo$11bobo3b2o$12b2o7bobo4bobo$12bo8b2o5b2o$22bo6bo5$22bo$5bo
15bobo$4b3o14bobo$2b3ob3o9b2obob3o$2bo5bo8bo2b2o4bo$b2o5b2o4b2o2bo4b3o
$2o7b2o2bo2b2ob4o$b2o5b2o4b2o2bo4bo$2bo5bo8bo2b2obo$2b3ob3o9b2ob2o$4b
3o$5bo!

Edit 2: Another trivial save:

Code: Select all

x = 42, y = 20, rule = B3/S23
4$30bo$29bo$29b3o$6bo$5b3o24b3o$3b3ob3o9b2ob2o8bo$3bo5bo8bo2b2o10bo$2b
2o5b2o4b2o2bo4bob2ob2o$b2o7b2o2bo2b2ob5ob2ob2o$2b2o5b2o4b2o2bo$3bo5bo
8bo2b2o$3b3ob3o9b2obo$5b3o$6bo!

Edit 3: 2 more gliders saved:

Code: Select all

x = 41, y = 20, rule = B3/S23
5bo19bo$4b3o17bobo$2b3ob3o9b2obo2bo2bo$2bo5bo8bo2b2o3b2o$b2o5b2o4b2o2b
o$2o7b2o2bo2b2ob5o$b2o5b2o4b2o2bo5bo2b2o$2bo5bo8bo2b2obo2bo2bo3b2o$2b
3ob3o9b2ob2o4b2o4bobo$4b3o27bo$5bo2$38bo$37b2o$32b2o3bobo$31bobo$33bo
$38b2o$38bobo$38bo!
Help me find high-period c/2 technology!
My guide: https://bit.ly/3uJtzu9
My c/2 tech collection: https://bit.ly/3qUJg0u
Overview of periods: https://bit.ly/3LwE0I5
Most wanted periods: 76,116

hotdogPi
Posts: 1587
Joined: August 12th, 2020, 8:22 pm

Re: Synthesising Oscillators

Post by hotdogPi » October 23rd, 2021, 5:26 pm

30G synthesis of my new p40, by Ian07 on Discord

Code: Select all

x = 443, y = 62, rule = B3/S23
241bo$239bobo$167bo72b2o$165b2o77b2o$166b2o75bo2bo$244b2o4$240b2o$239b
3o$159bo78bobo2bo2b2o$160b2o76b2o2b2o2b2o70bo13b4o80b2o$159b2o81b2o72b
obo12bo7b2o71b4o4b2o$317b2o12bo3b2o2b2o71b3ob2o2b2o$156b2o174bo2b2o80b
o$13b2o140bobo155bo$12b2o67b2o74bo156bo$9b2o3bo66bo174b2o54b3o$8bobo
68bobo174bo$10bo68b2o173bobo92b2o79b2o$76bo72bo23b2o79b2o93bo80bo$74bo
bo72b2o22bo173bobo78bobo$75b2o71bobo20bobo77b2o94b2o63bo15b2o$72b2o97b
2o78b2o159b2o7b2o$71bobo270b2o65b2obo7b2ob2o$73bo94b2o152bo21b2o64bo2b
3o5bo3b2o$168b2o150bobo86bobobo$321b2o85bobobo$77bo284bo6bo36b3o2bo27b
o$77bobo237b2o5b2o34b2o5b2o38bob2o28b2o$77b2o239b2o5b2o34b2o5b2o38b2o
28b2obo$2b2o70b2o241bo6bo84bo27bo2b3o$bobo70bobo171b2o114b2o70bobobo$b
o72bo173b2o114bobo68bobobo$2o68b2o269b2o21bo57b2o3bo5b3o2bo$69bobo93b
2o78b2o94b2o79b2ob2o7bob2o$69bo95b2o77bobo179b2o7b2o$68b2o174bo93b2o
79b2o15bo$162b2o79b2o92bobo78bobo$161bobo20bobo150bo80bo$161bo22b2o
150b2o79b2o$160b2o23bo$372b3o$257b2o113bo$253b2o2b2o2b2o110bo$177bo75b
2o2bo2bobo87b2o2bo76bo$177bobo79b3o84b2o2b2o3bo12b2o57b2o2b2ob3o$177b
2o80b2o85b2o7bo12bobo56b2o4b4o$351b4o13bo62b2o$174b2o$173b2o$175bo79b
2o$254bo2bo$255b2o$259b2o$259bobo$259bo2$167b2o$168b2o$167bo!
User:HotdogPi/My discoveries

Periods discovered: 5-16,⑱,⑳G,㉑G,㉒㉔㉕,㉗-㉛,㉜SG,㉞㉟㊱㊳㊵㊷㊹㊺㊽㊿,54G,55G,56,57G,60,62-66,68,70,73,74S,75,76S,80,84,88,90,96
100,02S,06,08,10,12,14G,16,17G,20,26G,28,38,47,48,54,56,72,74,80,92,96S
217,486,576

S: SKOP
G: gun

MathAndCode
Posts: 5141
Joined: August 31st, 2020, 5:58 pm

Re: Synthesising Oscillators

Post by MathAndCode » October 23rd, 2021, 11:11 pm

hotdogPi wrote:
October 23rd, 2021, 5:26 pm
30G synthesis of my new p40, by Ian07 on Discord
I reduced the cost by two gliders.

Code: Select all

x = 755, y = 88, rule = B3/S23
474bo$474bobo$474b2o7$440bo$438bobo$439b2o11$442bobo157b2o$443b2o156b
o2bo$204bo238bo158b2o$202bobo$203b2o$332b2o394b2o$199bo132bo391b4o4b2o
$200bo129bobo146bobo118b2o122b3ob2o2b2o$198b3o113b2o14b2o13bo6bo126b2o
115b4o4b2o123bo$343b2o5b2o128bo115b3ob2o2b2o$313bo3bo26b2o5b2o248bo$312b
o4bo149b2o$235b2o74bobobo151bo266bo$235bo74bobobo150bobo264bo3bo5b2o$
233bobo72bo4bo135bo15b2o139bo125bo4bo4bo$233b2o73bo3bo136b2o42bo110bo
3bo5b2o118bobo3bobo$10bo197bo239b2obo40bo111bo4bo4bo109bo11bo3b2o$10b
obo193bobo101b2o135bo2b3o39b3o111bobo3bobo92bo16b2o8b2o$o9b2o195b2o237b
obobo145bo11bo3b2o94b2o13b2obo7b2o$b2o433bo8bobobo146b2o8b2o99b2o13bo
2b3o$2o345b2o87b2o5b3o2bo27bo118b2obo7b2o113bobobo$347bobo85bobo6bob2o
28b2o116bo2b3o120bobobo$347bo97b2o28b2obo6bobo105bobobo120b3o2bo27bo$
321b2o123bo27bo2b3o5b2o105bobobo122bob2o28b2o$91b2o227bobo150bobobo8b
o103b3o2bo27bo96b2o28b2obo$90bobo227bo151bobobo114bob2o28b2o96bo27bo2b
3o$90bo228b2o107b3o39b3o2bo116b2o28b2obo122bobobo$89b2o339bo40bob2o118b
o27bo2b3o120bobobo$122b2o79b2o5b2o217bo42b2o146bobobo120b3o2bo$121b2o
81b2o5b2o243b2o15bo145bobobo113b2o7bob2o$78b2o43bo79bo6bo13b2o129b3o97b
obo159b3o2bo13b2o99b2o8b2o$77bobo143bobo129bo99bo153b2o7bob2o13b2o94b
2o3bo11bo$79bo143bo132bo97b2o153b2o8b2o16bo92bobo3bobo$222b2o379b2o3b
o11bo109bo4bo4bo$351b2o249bobo3bobo118b2o5bo3bo$351bobo248bo4bo4bo125b
o$351bo90b2o157b2o5bo3bo$443b2o165bo$442bo$743bo$739b2o2b2ob3o$615bo123b
2o4b4o$611b2o2b2ob3o122b2o$611b2o4b4o$480b3o132b2o$480bo$481bo$741b2o
$740bo2bo$613b2o126b2o$612bo2bo$613b2o3$482b2o$482bobo$482bo7$447b2o$
446bobo$448bo!


Edit: I improved the syntheses of some cauldron variants.

Code: Select all

x = 1731, y = 480, rule = B3/S23
36bo$37b2o$36b2o55$57bobo$58b2o$58bo37$1697bobo$1698b2o$1698bo$1557bo$
1556bo$1556b3o7$151bo35bo$149b2o36bobo1505bo$150b2o35b2o1504bobo32bo$
1694b2o32bobo$1701bo26b2o$149b2o1353bo6bobo167bo6bobo11b2o$148b2o969bo
6bobo191bo6bobo175b2o5b2o168b2o5b2o10b2o$150bo969b2o5b2o192b2o5b2o174b
2o6bo28bo139b2o6bo$1119b2o6bo192b2o6bo211bo$1352bobo178bo6b3o$1353b2o
8bo167bobo$1146bo22bobo181bo7b2o169b2o$1147b2o20b2o191b2o172bobo$1146b
2o22bo366b2o$1346bobo188bo$1163bobo181b2o$173b2o363bo624b2o182bo$2bo
170bobo363bo624bo$obo170bo324bo38b3o9bo$b2o145bo263bo39bo46bo48bo$147b
obo260b2o41b2o42b3o48b3o9bo$4b2o141bobo122bo138b2o39b2o48bo51bo3b2o$3b
obo142bo121b2o49bo179bo50b2o5b2o$5bo265b2o41bo4b2o83bo55bo40b3o38b2o9b
2o976bo176bo$314bobo3b2o80bobo55bobo78bo2bo601bo200bo183b3o174b3o$314b
2o87b2o55b2o80b2o602b3o198b3o176bobo5bobo166bobo5bobo$273bo281b2o584bo
bo5bobo190bobo5bobo173b2obo3bob2o166b2obo3bob2o$272b2o37b2o54b2o31b2o
6b2o5b2o30bobo5b2o6b2o31bobo5bobo31bobo5bobo5b2o585b2obo3bob2o190b2obo
3bob2o176bo3bo172bo3bo$226b2o35b2o7bobo30b2o5bo3b2o43b2o3bobo30bobo6bo
bo3bobo30b2obo3bobo6bobo30b2obo3bob2o31b2obo3bob2o7bo587bo3bo196bo3bo
179bobobo172bobobo$227bo3b2o31bo3b2o36bo4bo4bobo43bo3bo34bo8bo3bo35bo
3bo8bo35bo3bo37bo3bo598bobobo196bobobo180b3o174b3o$227bobo2bo31bobo2bo
36bobobo5bo45bobobo43bobobo35bobobo44bobobo37bobobo599b3o198b3o$228b3o
34b3o39b3o47bo5b3o45b3o37b3o46b3o39b3o985b2obo173b2obo$355bobo787b2obo
197b2obo180bob2o173bob2o$224b2o2b2obo33b2obo38b2obo45b2o5b2obo44b2obo
36b2obo45b2obo38b2obo599bob2o197bob2o$224b2o2bob2o33bob2o38bob2o52bob
2o44bob2o36bob2o45bob2o38bob2o2$221b2o129b3o3b3o1146b3o174b3o$220bobo
131bo3bo763b3o198b3o183bo176bo$222bo130bo5bo764bo200bo182bo176bo$1123b
o200bo14$130b3o$132bo$131bo111$1336b2o$1336b2o2$1333b2o$1333b2o6$1330b
o$1329bobo$1323b2o4bobo$1323b2o5bo2$1328b5o$1325bobo5bo$1325b2ob5obo$
1328bobobobo$1328bo3bob2o$1329b3o19b3o$1351bo$1329b2obo19bo$1329bob2o
161$1532bobo174bobo$1147bobo198bobo181b2o175b2o$1147b2o199b2o183bo176b
o$1148bo200bo5$1348bo183b2o174b2o$1147bo199bobo175b2o4bobo168b2o4bobo$
1140b2o4bobo192b2o4bobo175b2o5bo169b2o5bo$1140b2o5bo193b2o5bo$1530b5o
172b5o$1145b5o196b5o176bobo5bobo166bobo5bobo$1142bobo5bobo190bobo5bobo
173b2ob5ob2o166b2ob5ob2o$1142b2ob5ob2o190b2ob5ob2o176bobobo172bobobo$
1145bobobo196bobobo179bo3bo172bo3bo$1145bo3bo196bo3bo180b3o174b3o$
1146b3o198b3o$1531b2obo173b2obo$1146b2obo197b2obo180bob2o173bob2o$
1146bob2o197bob2o!
I also found this.

Code: Select all

x = 43, y = 37, rule = B3/S23
42bo$37bo2b2o$35b2o4b2o$36b2o$o$b2o$2o16bo$17bo$17b3o4bo$22b2o$23b2o
12$19bo$19b3o$14bobo5bo$14b2obo3bobo$17bo3bobo$17bobobob2o$18b3o2$18b
3o$17bo3bo$17b2ob2o2$40bo$39b2o$39bobo!
By the way, there is a simpler activation for another variant, but it doesn't include an induction coil, and getting one in behind the traffic light predecessor looks difficult (although, as I demonstrate, possible).

Code: Select all

x = 26, y = 16, rule = B3/S23
25bo$23b2o2$11bo10bo$11b3o8bo$14bo7bo$5bo5b3o3b2o$4bobo4bo4bo3bo2bo$3o
3bo9bo3bo2b3o$3b3o5bo4bo3bo$4bo6b3o3b2o$14bo$11b3o7bo$11bo8b3o$19b4o$
19b2obo!
Here are the results for a spark_search run.

Code: Select all

x = 11933, y = 203, rule = B3/S23
241bobo83bobo$242b2o83b2o$242bo85bo2$2793bo103bo$2794bo101bo$2792b3o
101b3o2$2229bo111bo937bo91bo1177bo111bo1487bo111bo687bo111bo3167bo111b
o$2230b2o107b2o939b2o87b2o1179b2o107b2o1489b2o107b2o689b2o107b2o3169b
2o107b2o$390bo109bo1728b2o109b2o937b2o89b2o1177b2o109b2o529bo107bo849b
2o109b2o687b2o109b2o3167b2o109b2o$246bo77bo66b2o105b2o623bo83bo1591bo
91bo786bo1513b2o103b2o$241bo3bo79bo3bo60b2o107b2o620bobo83bobo1026bo
97bo462bobo91bobo699bo82bobo1512b2o105b2o695bo99bo66bobo81bobo1745bo
101bo2145bo85bo$242bo2b3o75b3o2bo793b2o83b2o951bo73bobo8bo79bo8bobo
461b2o8bo73bo8b2o701bo82b2o2314bobo99bobo55bo8b2o83b2o8bo379bo95bo
1261bo99bo2137bo8bobo81bobo8bo1268bo$240b3o85b3o393bobo1434bo73b2o6b2o
81b2o6b2o470b2o75b2o547bobo157b3o962bo7bobo75bobo7bo542bobo93bobo699b
2o99b2o57b2o7bo83bo7b2o381bo93bo218bobo7bo87bo7bobo933b3o99b3o2136b2o
6b2o83b2o6b2o379bo246bo83bo559b2o$2bo85bo636b2o245bobo1184b3o82b2o79b
2o316bo74bo88b2o73b2o549b2o332bo75bo714b2o5b2o77b2o5b2o386bo91bo65b2o
4bo83bo4b2o859b2o101b2o221bo91bo64b3o93b3o217b2o5b2o89b2o5b2o546bo79bo
2547b2o101b2o141bo91bo145bo5bo237bobo83bobo556b2o$3bo83bo467bo99bo69bo
247b2o299bo101bo66bobo79bobo74bo85bo157bo77bo476bo87bo154b2o73bo401bob
o83bobo70bo89bo62bo5bo237bo90b2o71b2o714b2o7bo77bo7b2o386bo89bo66bo3b
2o85b2o3bo67bo87bo869bo160bo89bo381bo7b2o87b2o7bo547bo77bo713bo93bo
704bobo91bobo464bo93bo546bo80bo89bo144b3o6bo237b2o83b2o$b3o83b3o463bob
o99bobo315bo301bo99bo68b2o79b2o76bo83bo157bo79bo77bo83bo314bo85bo154b
2o72b3o242bo85bo73b2o83b2o72bo87bo70b2o236bo88b2o73b2o876bobo85bobo68b
obo87bobo66b3o89b3o69b2o83b2o73bo85bo385bobo97bobo383bo157b3o89b3o546b
obo87bobo68bobo85bobo233b3o77b3o245b2o465b2o89b2o63bo99bo59bo99bo60bo
97bo61bobo93bobo63b2o91b2o463bobo93bobo545bo77b3o89b3o149b3o74bo91bo$
554b2o99b2o463bo89bo62b3o99b3o66bo81bo74b3o83b3o155b3o75b3o78bo81bo
313b3o85b3o68bo403b2o81b2o74bo85bo70b3o87b3o67b2o73bo161b3o96bo59bo
497b2o65bo89bo230b2o85b2o70b2o87b2o389b3o85b3o384b2o97b2o382b3o479bo
89bo229b2o87b2o70b2o85b2o561bo2bo463b2o91b2o63b2o95b2o61bo97bo62bo95bo
63b2o93b2o64bo93bo67bo89bo73b3o71bo93bo64b2o93b2o61bo99bo65bobo83bobo
228b3o243b3o153bo89bo233b3o77b3o156bobo79bobo66bo169b3o70bo95bo69bo$
404bobo77bobo82bo71bo83bo244bo54bo10bobo82b2o4bo75bo4b2o792b3o81b3o
468bobo402b2o83b2o238bobo71bobo151b2o257bo61bo484bo2bo7bo2bo62bobo89bo
bo228bo87bo70bo89bo562bo63bo237bo99bo71bobo71bobo405bo71bo76bo93bo65bo
bo89bobo227bo89bo70bo87bo143bo84bo93bo228bo2bo6bobo621b2o97b2o58b3o97b
3o58b3o95b3o61bo95bo224bobo89bobo143bobo93bobo218bobo99bobo64b2o15bobo
47bobo15b2o319bo73bo235b3o89b3o471b2o79b2o68b2o4bo82bo153b2o91b2o63bob
o2bobo$164bo232bobo4b2o79b2o4bobo68bo4b2o73b2o4bo69bo6b2o244bo54b2o9b
2o81b2o3b2o77b2o3b2o68bo91bo235bo75bo73bo6bo76bo87bo628b2o727b2o73b2o
150b2o248bo9b3o57b3o9bo152bo91bo73bo155bo2bo7bo2bo63b2o89b2o1032bo8bob
o59bobo8bo243bo69bo86b2o73b2o403b2o73b2o75b2o6bobo71bobo6b2o67b2o89b2o
622b2o83bo9bo71bo9bo71bo83bo73bo2bo7bo61bo5bo89bo5bo1262b2o89b2o70bo5b
o68b2o93b2o220b2o99b2o65bo16b2o49b2o16bo318bo75bo78bo5bo473bo5bo73bo5b
o68bo6bo79bo81bo67b2o6b2o81b2o75bo5bo68b2o93b2o63b2o3b2o$162bobo233b2o
5bo79bo5b2o70b2o3b2o71b2o3b2o71b2o3bobo75bobo81bobo80b3o53b2o10bo88b2o
75b2o75b2o87b2o235bo77bo73b2o5bo76bo85bo232bo404bo72bo87bo560bo73bo
231bo170b2o77b2o79bo74b2o87b2o67bobo2bobo79bo75bo4bo6b2o717bo65bo406b
2o6b2o61b2o6b2o79bo79bo83bo71bo76bo9bo73bo9bo230bo81bo75bobo4b2o71b2o
4bobo68b2o7b2o73b2o7b2o712bo67b2o82b3o9bobo67bobo9b3o61bo8bo81bo8bo65b
o4bo68b2o3bobo85bobo3b2o793bobo67bobo560bo5bo562bo8bo49bo8bo243bo77bob
o3b3o71b3o3bobo72bo5bo305bo8bo83bo8bo65bo5bo73bo5bo69b2o5bo235b2o81b2o
76bo5bo228bo$163b2o233bo93bo69b2o83b2o69b2o83b2o81b2o391b2o7bo73bo7b2o
221bobo10b3o73b3o10bobo59b2o4b3o67bobo4b3o85b3o4bobo221bobo239bo87bo
74bobo73b2o86b2o230bo89bo475bo68b2o167b2o79b2o77b3o72b2o89b2o67b2o3b2o
78b3o74b4obo718bobo2b2o67b2o2bobo236bo85bo75b2o79b2o77b3o77b3o82b3o67b
3o77b2o89b2o229bobo80b3o75b2o83b2o79bo73bo721b3o162b2o69b2o74bo5b3o81b
3o5bo66b4obo67b2o4b2o87b2o4b2o69bo80bo75bo565b2o69b2o563bo2bo560bobo
67bobo239bobo78b2o83b2o76bo2bo306bo5b2o85b2o5bo69bo2bo76bo2bo68b2o4b3o
71bo10bo73bo10bo231bo2bo77bo77bo$11bo67bo723bo83bo398b2o75b2o229b2o99b
2o137b2o99b2o71bo73bo77b2o240b2o6bo69bo6b2o76b2o72b2o4b3o79b2o232bo87b
o70bo89bo313bobo67b2o327bobobo231bo83bobobo74bo723b2o3b2o65b2o3b2o235b
obo7bo69bo7bobo79bo69bo82bobobo75bobobo73bo87bo68b2o91b2o229b2o79bobob
o74bo85bo874bobobo306b3o97b3o65bo244bo77bobo75bobo84bo69bo89bo69bo89bo
69bo80bo8bo69bo8bo80bo69bo89bo69bo89bo69bo81b2o2bo83bo69bo89bo69bo89bo
69bo89b2o67b2o241b2o78bo85bo73b2o2bo75b2o229b3o6b2o83b2o6b3o64b2o2bo
75b2o2bo148bobo9bo75bo9bobo226b2o2bo70bo8bobo73bobo8bo$9b2o69b2o72bobo
881bo248b2o73b2o230bo101bo137bo101bo71bobo69bobo318b2o6bo71bo6b2o157bo
311b3o87b3o66bobo89bobo229b3o80b2o395b3ob3o75bo81bo155b3ob3o78bo84bo
65bo245bo6bo67bo6bo77bo6bo67bo6bo79bo77bo236b2o6bo71bo6b2o81bo67bo82b
3ob3o73b3ob3o70bobo87bobo470b3ob3o389bo93bo226bo6bo77bo6bo67bo6bo77bo
6bo70b3ob3o61bo416bo237b3o78b2o75b2o85bobo65bobo89bobo65bobo89bobo65bo
bo78bobo87bobo78bobo65bobo89bobo65bobo89bobo65bobo81b3o85bobo65bobo89b
obo65bobo89bobo65bobo641b3o78b2o397b3o77b3o151b2o9b3o71b3o9b2o227b3o
73bo7b2o75b2o7bo$2bo7b2o67b2o7bo66b2o881b2o401bo87bo472bobo3b2o71b2o3b
obo320b3o67b3o164bo320bobo71bobo75b2o8bo71bo8b2o232bo478bobobo71bo4bob
o77bobo4bo151bobobo79bo76bo6bo67bo6bo238bo5bobo63bobo5bo79bo5bobo63bob
o5bo403b3o67b3o87b3o67b3o81bobobo75bobobo72b2o87b2o472bobobo391bo6bo
77bo6bo225bobo5bo79bo5bobo63bobo5bo79bo5bobo69bobobo63b2o256bo71bo85bo
231bobo77bobo10bobo61bobo10bobo69bo8b2o67b2o8bo71bo8b2o67b2o8bo71bo8b
2o67b2o8bo70b2o87b2o70bo8b2o67b2o8bo71bo8b2o67b2o8bo71bo8b2o67b2o8bo
72b3o76bo8b2o67b2o8bo71bo8b2o67b2o8bo71bo8b2o67b2o8bo632b3o77bo71bo6bo
87bo6bo225b3o77b3o477b3o71b3o93b3o$3b2o81b2o67bo643bo6bo77bo6bo145bobo
402b2o83b2o474b2o81b2o879b2o73b2o83b2o73b2o239bo154b3o78bo244b3o73bo3b
2o79b2o3bo71b3o79b3o76b3o76bobo6b3o63b3o6bobo234b3o5b2o65b2o5b3o75b3o
5b2o65b2o5b3o716b3o77b3o637b3o390b3o6bobo73bobo6b3o224b2o5b3o75b3o5b2o
65b2o5b3o75b3o5b2o71b3o63b2o257bobo67bobo81b3o234b2o78b2o10b2o63b2o10b
2o71b2o83b2o73b2o83b2o73b2o83b2o233b2o83b2o73b2o83b2o73b2o83b2o73b2ob
2o75b2o83b2o73b2o83b2o73b2o83b2o633b2ob2o148b2o4bobo83bobo4b2o226b2ob
2o75b2ob2o318b2o73b2o80b2ob2o$2b2o83b2o72b2o634bobo6bobo73bobo6bobo
547b2o5bo73bo5b2o473bo83bo479b2o160b3o236bo73bo85b2o71b2o397bo78b2o
244bo3b2o67b3o89b3o71bo80bo3b2o73bo78b2o81b2o1197bo3b2o74bo3b2o634bo3b
2o395b2o75b2o560bo3b2o318b2o69b2o82bo235bo79bo12bo63bo12bo70b2o85b2o
71b2o85b2o71b2o85b2o231b2o85b2o71b2o85b2o71b2o85b2o73bobo75b2o85b2o71b
2o85b2o71b2o85b2o633bobo148b2o5b2o85b2o5b2o217b2o7bobo77bobo318bobo72b
obo81bobo$160bobo635b2o6b2o75b2o6b2o77b3o473b2o75b2o235b2o806b2o161bo
867bo78bobo247bo2bo231bo84bo2bo1436bo2bo76bo2bo636bo2bo1036bo2bo63bo
2008bo1108b2o9bo469b2o8bo79bo75b2o244bo74bo82bo235b3o$162bo809bo474b2o
73b2o237b2o397b2o405bo162bo790b2o405bo2bo306b2o8bo2bo1436bo2bo76bo2bo
625b2o9bo2bo1036bo2bo63b2o651b2o1342b2o887bo231b2o646b2o639bo$971bo
788bo400b2o1359b2o393b2o10b2o307b2o9b2o1438b2o65b2o11b2o549b3o74b2o10b
2o1038b2o63bobo652b2o1341b2o887b2o877bo640bo$2160bo1360bo395b2o1757b2o
78b2o564bo1112b2o731bo2231bobo789b2o477b2o$5676b2o643bo1113b2o3755b2o
477b2o53$245bo79bo$244b3o77b3o$243b2o2bo75bo2b2o2471b2o3b2o79b2o3b2o$
246b3o73b3o2473b2obobo3bo75bo3bobob2o$243bob3o75b3obo2473bo87bo5105b3o
95b3o$243bobo3b2o69b2o3bobo398bo2073b2o2bobo77bobo2b2o393b2o79b2o4627b
o3bo93bo3bo$243bo6b2o67b2o6bo398bo2074b2o85b2o394b2o79b2o4236b3o5b2o
65b2o5b3o2405b2o61b2o$251bo67bo244b2o79b2o79bo2074b2o85b2o4713b3o4bo2b
o63bo2bo4b3o311bo91bo2000b2o63b2o1457bo$250b2o67b2o243bobo77bobo2951bo
84b2o3920bo4bo2bo63bo2bo4bo308b5o93b5o1997bo61bo1454bo3bobo$565bo79bo
76b3o3b3o1503b2o99b2o464b6o77b6o707bobo81bob3o868b2o99b2o537b2o99b2o
857b2o99b2o697b2o99b2o547bobo2b2ob2o63b2ob2o2bobo308bo99bo2138b2o99b2o
1274bo2b2ob2o$398bo93bo485bo143bo85bo1024bobo99bobo464bo3bo77bo3bo707b
2ob2o80bobo2bo314bo87bo231bo231bobo99bobo383bo87bo63bobo99bobo855bobo
99bobo223bo87bo71bo87bo223bobo99bobo546b2o4b2o67b2o4b2o234bo1607bo703b
obo99bobo143bo87bo79bo479bo79bo401bo2b2ob2o70bo71bo87bo$7b2o73b2o314bo
93bo73bo77bo332b4o141bo85bo398b3o71b3o163b3o71b3o310bo101bo305b2o162bo
77bo796bo2b2o80b3o73b3o155b3o85b3o229bo233bo101bo383b3o85b3o63bo101bo
702b2o89b2o62bo101bo223b3o85b3o69b3o85b3o223bo101bo548bo79bo234bo1607b
3o703bo101bo143b3o85b3o77b3o477b3o77b3o403b2obo70b3o69b3o85b3o$7b2o73b
2o75bo238bo93bo73bo77bo332bo3bo140bo85bo1431b5ob2o154bo3bo77bo3bo706b
4o82b2obo81bo2bo71bo2bo155bo2bo83bo2bo231b4o713bobobo4bo73bo4bobobo
867b2o89b2o387bobobo4bo73bo4bobobo67bobobo4bo73bo4bobobo1190b4o6b2o
1593b2ob2o947bobobo4bo73bo4bobobo75b2ob2o72bo402b2ob2o75b2ob2o475b2ob
2o68bo2bo83bo2bo$157b3o406bo77bo77b2o324bo78bo75bo406bo69bo169bo69bo
322b2o81b2o309bo7b2o155b2o2b2obo71bob2o2b2o705bobo84b2obo74b3o4bob2o
71b2obo4b3o150b2o83b2o233b2ob3o5b2o228b2o81b2o394b3o2b3o71b3o2b3o74b2o
81b2o875b2o81b2o234b3o2b3o71b3o2b3o73b3o2b3o71b3o2b3o234b2o81b2o549b2o
12b2o65b2o12b2o228b2ob3o3bo2bo72bo75bo1443b2o2b2o710b2o81b2o154b3o2b3o
71b3o2b3o78b2o2b2o69b2obo401b2o2b2o74b2o2b2o400bo2bo70b2o2b2o69b2o83b
2o$156bo2bobo558bo2bo248bo6b3o64bo4bo73b2ob2o71b2ob2o77bo83bo874bobo
81bobo308bo2bobo5bo153b2o3b2obo69bob2o3b2o555bobo147bobob2o81b2o3bo71b
o3bo85bo3bo149bo85bo233bo3bobo3bo2bo226bobo81bobo393bo3b2o2bo69bo2b2o
3bo73bobo81bobo873bobo81bobo233bo3b2o2bo69bo2b2o3bo73bo3b2o2bo69bo2b2o
3bo233bobo81bobo548b2o11bo2bo63bo2bo11b2o228bo3bobo2bobo72b3o73b3o
1445b2o710bobo81bobo153bo3b2o2bo69bo2b2o3bo81b2o70b2ob2o403b2o78b2o
478b2o70bo85bo$155bobo3b3o555bo251b4o70bo5bo77bo71bo80bobo81bobo237b2o
bo71bob2o77b3o81b2obo71bob2o78bo83bo155bo83bo77b2o77b2o150bo5bo3b3o86b
o66bo8bo67bo8bo554bobob2o75bo70bobo83bo5bo69bo3b2o8bobo63bobo8b2o3bo
464b3o2b2o2b3o2bo2bo227bo83bo393b2o3bo2b2o69b2o2bo3b2o73bo83bo77b2o77b
2o717bo83bo233b2o3bo2b2o69b2o2bo3b2o71b2o3bo2b2o69b2o2bo3b2o233bo83bo
562bobo65bobo237b3o2b2o2b3o2bo62b2o8b2o2bo71bo2b2o8b2o789b2o77b2o1277b
o83bo153b2o3bo2b2o69b2o2bo3b2o151b3ob2o240bo75bo238b3o239bo88b2o$3b2ob
2o75b2ob2o67bobo3b2o239b2o83b2o230bo251b2ob3o69bo4bo73bo3bo71bo3bo76b
2o83b2o232b3o83b3o72b4o75b3o83b3o74bo81bo317bo2bo75bo2bo150bo3b3obo2b
2o84bobo65bo10bo63bo10bo74bo3bo75bo3bo80bo73bo240bob2o76bobo155bo4b3o
67bo6b2obo3bo2bo63bo2bo3bob2o6bo71b2o71bobo87bobo67bo86b2o69bo15b2o
704bobo4bo2b2o69b2o2bo4bobo232bo2bo75bo2bo239b2o78b2o229b3o2b2o83b2o2b
3o312b2o71bobo4bo2b2o69b2o2bo4bobo67bobo4bo2b2o69b2o2bo4bobo714b2o163b
o3b2o57b2o3bo237bo77b2o10b3o71b3o10b2o788bo2bo75bo2bo552bo959bobo4bo2b
2o69b2o2bo4bobo67bo81bo244b2o75b2o154bo82b4o237bobo86bobo64bo79bobo87b
obo67bo$3b2ob2o75b2ob2o67b2o4b2o239bobo81bobo230bo3b2o77bo85bo84b2obo
71bo77b3o73b3o556bo241bo83bo75b3o238bo2b2o73b2o2bo80bo73bo4b6o81bob2o
66bo2bobo3b3o61b3o3bobo2bo74b2o3b3o71b3o3b2o78b3o71b3o240bo77bo3bo78b
2o77bobobobo65bo2bo3b2ob2o3bo2bo61bo2bo3b2ob2o3bo2bo71b2o3b2o67bo89bo
63b2o4b2o84b2o3b2o785bo3bo6bo71bo6bo3bo231bo2b2o73b2o2bo239b2o3b2o73b
2o3b2o70b2o81b2o69bo95bo312b2o3b2o65bo3bo6bo71bo6bo3bo65bo3bo6bo71bo6b
o3bo713b2o3b2o162b2o57b2o727b2obo77bob2o78b2o75b2o76bo3b3o75b3o3bo74bo
2bo75bo2bo75bo85bo235b2o79b2o71bobo82b3o79b3o79bo75bo81b3o75b3o86b2o
63b2o319bo3bo6bo71bo6bo3bo65bobo79b2o243b5o71b5o152bobo80bo240bo3bo76b
3o3b2o2bo64bobo79bo89bo63b2o4b2o$5bo2bo73bo2bo71bo2bo560b4o76bobo83bob
o84bob2o52b3o4b3o561bo2b2o5b2o65b2o5b2o2bo151bo2b2o5b2o65b2o5b2o2bo74b
2o79b2o74b2o242bob2o73b2obo79bo2bo2b2obo65bo2bo8bo71b3ob2o3b2o69b3o2bo
5bo59bo5bo2b3o73b2o3bobo2bo69bo2bobo3b2o75bo2bo71bo2bo317bobobo78bobo
72bo3bo2b2o2bo64bo5bo6bo2b2o63b2o2bo6bo5bo78bo66bo5bo77bo5bo62b2o4bo5b
3o85bo64b3ob4o78bo81bo557b3obo73bob3o238bob2o73b2obo247bo79bo68bo2bo
79bo2bo68bobo91bobo319bo70b3obo73bob3o77b3obo73bob3o77bo81bo566bo464b
3ob4o478bobobo73bobobo78bo2bo73bo2bo75b2o5bo73bo5b2o231b3ob3o75b3ob3o
72b2o83b2o74bobo79bobo70bobo81bo85bo77bobo73bobo78b2o3bo73bo3b2o83bo2b
o61bo2bo324b3obo73bob3o71bobo78b2ob2o240b2o3bo71bo3b2o151bobo321bobobo
75bo5b2o2bobo63bobo79bo5bo77bo5bo62b2o4bo5b3o$403bo83bo234b4o72b2obobo
83bobob2o74b2o4bo63bobo402b2o83b2o70b3o2b2o3b2obo65bob2o3b2o2b3o68b2o
77b3o2b2o3b2obo65bob2o3b2o2b3o70b5o77b5o73bo2b2o238bo79bo79bo2bo2bo4bo
72bob2o76bob2o66b3o3bo3bo2bobo61bobo2bo3bo3b3o68b2ob2o4b2o69b2o4b2ob2o
74b3o75b3o76bo5bo73bo5bo152b3ob3o69b2o7b2o71bo4b2o5bo65bo5bo3bobo71bob
o3bo5bo75bo3bo70b2obo75bob2o67bob2o91bo3bo67b2o2b2o2b3o71b2o81b2o551bo
4bo2bo75bo2bo4bo233bo79bo78b3o10bo55bo10b3o82bo3bo75bo3bo68b2o83b2o69b
2o6b2o75b2o6b2o316bo3bo65bo4bo2bo75bo2bo4bo67bo4bo2bo75bo2bo4bo71b2o
81b2o561bo3bo153b2o73b2o237b2o2b2o2b3o239bo79bo67bo83b2o81b2o73bo2b2o
79b2o2bo70bo89bo77bo73bo77bo4b3o75b3o4bo232bobo79bobo66b2o3bo82bo4bo
75bo4bo73b2o83b2o71bobo85bobo77bo2bo67bo2bo316bo4bo2bo75bo2bo4bo67bo
81b3o2bo77b3o77b3o77bo5bo69bo5bo147b2o3bo80b2o81b2o81b2o73b3ob3o82b2ob
3o58b2o3bo84b2obo75bob2o67bob2o$2bo3bo77bo3bo77b3o233b3o81b3o236b2o71b
2o3b2o81b2o3b2o69bo4b3o55b4o6b2o2bo2b3o3b2o74b2o79b2o79bobo73bobo77b2o
4bo73bo4b2o69bo2b5ob2o3bo65bo3b2ob5o2bo67b2o76bo2b5ob2o3bo65bo3b2ob5o
2bo69b2ob2o77b2ob2o74bo2bo76b3o79b3o77bo2bo73bo2bo79bo6bo4bo63bo2bo4b
2o74bo5bo67b3o7b2obo65bob2o7b3o68bo2b2o3b3o69b3o3b2o2bo76bo75bo77bo7bo
71bo7bo75bo76b2ob2obo67b3o2b2o2b2ob2o69bo4bob2ob2o67bo3bo4bo2bo69bo2bo
4bo3bo69b2o5bo3bo70b2o3bo71bo3b2o68b2o8bo3bo72b2o5bo3bo67b3o3bo4b2o69b
obo79bobo75b3o79b3o75b3o79b3o77b3o75b3o74bo3b2o79b2o3bo72b3o79b3o77bo
2bo73bo2bo72bo4bo3bo9bo55bo9bo3bo4bo69b2o5bo3bo68b2o5bo3bo233b2o73b2o
79b3o79b3o154b2o5bo3bo66bo3b2o79b2o3bo69bo3b2o79b2o3bo72bobo79bobo75b
3o79b3o77b3o75b3o77b3o79b3o74b2o5bo3bo71b3o74bo4b2o73b2o4bo75b2o79b2o
74b3o3bo4b2o67bo87bo81bo79bo67bo82bo2b2o77b2o2bo72bo5bo75bo5bo72bo2bob
o75bobo2bo79bo73bo78bobo2b2o75b2o2bobo71b3o83b3o74b2o3bo71bo3b2o66bo2b
o7bo79b2o79b2o76bo2bo77bo2bo71bo5bobo75bobo5bo76b6o3b3o51b3o3b6o80b3o
79b3o152bo3b2o79b2o3bo73bo77b2ob3o77bo79bo70b2o6bo4bo71bo4bo6b2o69bo
68bo2bo7bo75b2o79bo2bo5b3o65b3o5bo2bo72b2ob2obo74bobo2bo4bobo57bo2bo7b
o79b2o3bo71bo3b2o68b2o8bo3bo$2b2o83b2o78b2o77bobo73bobo80bo79bo80b2o
75b2o81b3o75b2o3b2o69b2o3b2o74b4o2bo2bo54b4o7bo5bobo3bobo73b2o79b2o79b
o2bo71bo2bo75bo2bo2b4o71b4o2bo2bo66b2ob2o9bo67bo9b2ob2o66b2o75b2ob2o9b
o67bo9b2ob2o68b2ob3obo71bob3ob2o74bob2obo73bo85bo237bob2o7bo64bobo3bo
79bo6b3o69bo75bo76bo2bo83bo2bo71bo2b4o73b4o2bo72bobo3bobo71bobo3bobo
74bobo76b2o4bo67bo2b2obo2bo3bo69b2obo2b2obo69b2ob2o3b3o71b3o3b2ob2o70b
2o7b2o73bo3bo69bo3bo77b2o2bo3bo71b2o7b2o80bo228bo85bo73bo85bo79bo73bo
239bo85bo228b5o6bo8bo55bo8bo6b5o68b2o7b2o69b2o7b2o77b2o67b2o83bo2bo75b
o2bo75bo85bo74bo5bo72b2o7b2o549bo85bo79bo73bo79bo85bo73b2o7b2o67b2o3b
3o73b4o2bo2bo69bo2bo2b4o73bo2bo77bo2bo85bo66b4o83b4o80bo79bo67bo81b2ob
o3bo73bo3bob2o72bob2o2bo73bo2b2obo72b5o2bo73bo2b5o231bo87bo72b4o2bo73b
o2b4o75bobo3bo69bo3bobo67b2o7bobo78bo4bo71bo4bo75b3obobo73bobob3o71bo
4bo2bo73bo2bo4bo71b5o2b2o6bobo51bobo6b2o2b5o73bo85bo74bo5bo233bobo77b
2ob2o76bobo77bobo69b2o10b2o71b2o10b2o68bobo68b2o7bobo74b2o78bo7b2o2bo
65bo2b2o7bo72b2o4bo72bo2b4o3bo61b2o7bobo80bo3bo69bo3bo77b2o2bo3bo$3b2o
81b2o75bob3o403bo67bo84b2o78b3o77b3o73bo4bo4bo54b4o6b2obo2b2ob2o4bo73b
o3bo73bo3bo77b2o3bo71bo3b2o73bo4bo4bo69bo4bo4bo67b2o2bo2b3o75b3o2bo2b
2o69bo75b2o2bo2b3o75b3o2bo2b2o71b2ob3o71b3ob2o79bo73bo3b3o77b3o3bo73b
3o3bo69bo3b3o78b2o3b3o4bo65bo78b2o2b2obo4bo3bo66b2o77b2o80b3o73b3o76b
2o3b3o73b3o3b2o72b7o73b7o74bo79bo5b2o69b2ob4o3bo71b5o74bob2o3bo73bo3b
2obo151bobo6bo69bo6bobo72b2o6bo153b2o7bo72b2o75b2o75bo3b3o77b3o3bo69bo
3b3o77b3o3bo73b3o3bo69bo3b3o78b2o77b2o74bo3b3o77b3o3bo73b3o3bo69bo3b3o
69bobobo4bo79bo4bobobo228b3o4b2o67b2o4b3o232bo3b3o77b3o3bo71b3o3bobo
154b2o77b2o79b2o77b2o80b2o75b2o75bo3b3o77b3o3bo73b3o3bo69bo3b3o73bo3b
3o77b3o3bo149b2o3bo74bo4bo4bo69bo4bo4bo71bobob2o75b2obobo75b2o7bo70b4o
75b4o315bob3o2bo71bo2b3obo73b3o3b2o71b2o3b3o74b2o3b2o71b2o3b2o76b2o3bo
71bo3b2o75b2ob2ob2o71b2ob2ob2o73b3o3b2o71b2o3b3o73bob2ob2o73b2ob2obo
77bo74b2ob3obo73bob3ob2o72b3o3b2o71b2o3b3o72bob2o3b2o71b2o3b2obo70bo2b
ob2o10b2o53b2o10b2obo2bo69bo3b3o77b3o3bo71b3o3bobo74b2o77b2o80bo76bo3b
o76bobo77bobo239bo79bo75bo77bo6bo3b2o65b2o3bo6bo72bo5b2o70b2o3b2ob2ob
2o72bo74bobo6bo69bo6bobo72b2o6bo$3b3o79b3o75bo81bo2bo73bo2bo78bo2bo75b
o2bo75bob5ob2o67b2ob5obo75b2o80bo77bo76bo5bo2bo66b2o2bo2b2o2bobo77bo
73bo82bo3bo71bo3bo74bo2bo5bo71bo5bo2bo71bo3b3o3bo65bo3b3o3bo73b2ob2o
75bo3b3o3bo65bo3b3o3bo77b3o73b3o79b2o74bo4b4o73b4o4bo71b4o4bo69bo4b4o
74b2obobob2o4bo67bo2bo75bo2bobo76bo4bo69bo4bo79b3o75b3o78bo2bo75bo2bo
78bo79bo77bo79bo5bo70bo4bo4bo73b2o77bo2bo77bo2bo77b2o74bo2bo2bo2bo69bo
2bo2bo2bo71bo2bo2bo2bo74b2o85bo68b2o2b2obo73bob2o2b2o70bo4b4o73b4o4bo
69bo4b4o73b4o4bo71b4o4bo69bo4b4o75bo81bo73bo4b4o73b4o4bo71b4o4bo69bo4b
4o66b3obo4bobo3bo69bo3bobo4bob3o69b2o78b2o75bob3o77b3obo74bo83bo72bo4b
4o73b4o4bo70bo2b2obo2bo74b2o77bo81bo77bo81bo74b2o2b2obo73bob2o2b2o70bo
4b4o73b4o4bo71b4o4bo69bo4b4o71bo4b4o73b4o4bo74b2o78bobo73bo5bo2bo69bo
2bo5bo74bo81bo85bo61b3o4bo4bo77bo4bo4b3o68bo7b3o69bo7b3o59b3o7bo77b2ob
obo73bobob2o75bo2bo77bo2bo75bo2bo77bo2bo81bo71bo81bo2bo77bo2bo75bo2bo
77bo2bo75b2o2b2o73b2o2b2o75bo2bo76bo2bo77bo2bo75bo2bo77bo2bo75bo2bo77b
o2bo72bo2bo2b4o71b4o2bo2bo69bo4b4o73b4o4bo70bo2b2obo2bo73bo81bo76bo2bo
76bo3bo68b2o5bo3bo75bo3bo5b2o69bob2o75b2obo76bo2bo76bo2bo75b2ob2o73bo
2bo2bo2b2o69b2o2bo2bo2bo72bo5bo74bo2bo75bo2bo74bo2bo2bo2bo69bo2bo2bo2b
o71bo2bo2bo2bo$4bobo77bobo475bo4b3o71b3o4bo312bo4bob2o60b3o9bo3bob2o
232b2o5bo71bo5b2o72b2obo4bo71bo4bob2o72bo3b2obo2bo65bo2bob2o3bo76b3o
74bo3b2obo2bo65bo2bob2o3bo73bo3bo77bo3bo152b2obo3bo73bo3bob2o72bo3bob
2o71b2obo3bo73bo3bo7bo149bobobo6bo3bo222bo5bo73bo5bo75bobo77bobo315b2o
4bo72bo3b2ob2o154bobo77bobo154bo4bob2o71b2obo4bo72bo3bob2o68b2o90bo71b
obo3bo73bo3bobo72b2obo3bo73bo3bob2o71b2obo3bo73bo3bob2o72bo3bob2o71b2o
bo3bo232b2obo3bo73bo3bob2o72bo3bob2o71b2obo3bo67bobobo4bo3bob2o65b2obo
3bo4bobobo546b2obo3bo73bo3bob2o72bo3bob2o67b2o403bobo3bo73bo3bobo72b2o
bo3bo73bo3bob2o72bo3bob2o71b2obo3bo72b2obo3bo73bo3bob2o154bo3bo72bo4bo
b2o71b2obo4bo70bo89bo79bo70bo5b2o73b2o5bo73bo2b2ob2o72bo2b2ob2o69b2ob
2o2bo76bo3bo73bo3bo77bobo77bobo77bobo77bobo75b2o5bo71bo5b2o75bobo77bob
o77bobo77bobo77bobo77bobo65b2o90bobo77bobo77bobo77bobo77bobo77bobo74b
2obo3bo73bo3bob2o71b2obo3bo73bo3bob2o72bo3bob2o386b2o95b2o390b3o73b2ob
o4bo71bo4bob2o72b2o4bo75bobo154bo4bob2o71b2obo4bo72bo3bob2o$163bo3bo
75bo3bo75bo3bo75bo3bo75bo3bo82bo69bo82bo3bo75bo3bo75bo3bo79bo79bo75bo
3bo75bo3bo75bo83bo75bo83bo79bo3bo67bo3bo163bo3bo67bo3bo83bo75bo79bo3bo
75bo83bo79bo75bo83bo75bo3bo87bo2b2o63bo3bo75bo3bo395bo3bo75bo3bo75bo3b
o75bo83bo75bo3bo229b2o4bo3bo79bo75bo83bo70b2o3bo3bo75bo3bo235bo83bo75b
o83bo79bo75bo79bo3bo75bo3bo75bo83bo79bo75bo73b5o8bo69bo8b5o69bo3bo68b
2o5bo3bo235bo3bo75bo3bo75bo83bo79bo69b2o4bo3bo75bo3bo75bo3bo75bo3bo75b
o3bo235bo83bo79bo75bo79bo83bo75bo3bo75bo83bo75bo77b3o83b3o73bo3bo79bo
75bo83bo3b2o74bo3b2o65b2o3bo559bo83bo544b2o9bo3bo555bo83bo75bo83bo79bo
75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo
155bo83bo75bo159bo3bo79bo75bo83bo$3bo3bo75bo3bo75bo3bo75bo3bo75bo3bo
75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo
75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo
75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo
8b2o65bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75b
o3bo75bo3bo75bo3bo75bo3bo75bo3bo69b2o4bo3bo75bo3bo75bo3bo75bo3bo75bo3b
o75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3b
o75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo70bo4bo3bo75bo3bo4bo63b2o5bo3bo68b
2o5bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3b
o75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3b
o75bo3bo67b2o6bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo
75bo3bo75bo3bo3b2o70bo3bo3b2o65b2o3bo3bo75bo3bo75bo3bo75bo3bo75bo3bo
75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo
75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo
75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo
75bo3bo64b2o9bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo63b2o10bo3bo75bo
3bo75bo3bo75bo3bo$4b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b
3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b
3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b
3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b
3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b
3o77b3o77b3o77b3o77b3o69b2o6b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b
3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o68b
2o7b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b
3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b
3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b
3o77b3o77b3o77b3o77b3o77b3o65b2o10b3o77b3o77b3o77b3o77b3o77b3o64b2o11b
3o77b3o77b3o77b3o2$2bo5bo73bo5bo73bo5bo73bo5bo73bo5bo73bo5bo73bo5bo73b
o5bo73bo5bo73bo5bo73bo5bo73bo5bo73bo5bo73bo5bo73bo5bo73bo5bo73bo5bo73b
o5bo73bo5bo73bo5bo73bo5bo73bo5bo73bo5bo73bo5bo73bo5bo73bo5bo73bo5bo73b
o5bo73bo5bo73bo5bo73bo5bo73bo5bo73bo5bo73bo5bo73bo5bo73bo5bo73bo5bo73b
o5bo73bo5bo73bo5bo73bo5bo73bo5bo73bo5bo73bo5bo73bo5bo73bo5bo73bo5bo73b
o5bo73bo5bo73bo5bo73bo5bo73bo5bo73bo5bo73bo5bo73bo5bo73bo5bo73bo5bo73b
o5bo73bo5bo73bo5bo73bo5bo73bo5bo73bo5bo73bo5bo73bo5bo73bo5bo73bo5bo73b
o5bo73bo5bo73bo5bo73bo5bo73bo5bo73bo5bo73bo5bo73bo5bo73bo5bo73bo5bo73b
o5bo73bo5bo73bo5bo73bo5bo73bo5bo73bo5bo73bo5bo73bo5bo73bo5bo73bo5bo73b
o5bo73bo5bo73bo5bo73bo5bo73bo5bo73bo5bo73bo5bo73bo5bo73bo5bo73bo5bo73b
o5bo73bo5bo73bo5bo73bo5bo73bo5bo73bo5bo73bo5bo73bo5bo73bo5bo73bo5bo73b
o5bo73bo5bo73bo5bo73bo5bo73bo5bo73bo5bo73bo5bo73bo5bo73bo5bo73bo5bo73b
o5bo73bo5bo73bo5bo73bo5bo73bo5bo73bo5bo73bo5bo73bo5bo73bo5bo73bo5bo73b
o5bo73bo5bo73bo5bo73bo5bo73bo5bo73bo5bo73bo5bo73bo5bo73bo5bo73bo5bo73b
o5bo73bo5bo73bo5bo73bo5bo73bo5bo73bo5bo73bo5bo73bo5bo73bo5bo73bo5bo73b
o5bo73bo5bo73bo5bo$bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bo
bo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo
71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bo
bo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3b
obo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo
71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bo
bo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3b
obo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo
71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bo
bo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3b
obo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo
71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bo
bo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3b
obo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo
71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bo
bo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3b
obo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo
71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bo
bo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3b
obo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo
71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bo
bo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3b
obo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo
71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo$bob
o3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bo
bo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo
71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bo
bo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3b
obo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo
71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bo
bo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3b
obo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo
71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bo
bo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3b
obo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo
71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bo
bo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3b
obo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo
71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bo
bo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3b
obo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo
71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bo
bo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3b
obo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo
71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bo
bo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3b
obo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo
71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo$2ob2ob2ob2o69b2ob2ob2ob2o
69b2ob2ob2ob2o69b2ob2ob2ob2o69b2ob2ob2ob2o69b2ob2ob2ob2o69b2ob2ob2ob2o
69b2ob2ob2ob2o69b2ob2ob2ob2o69b2ob2ob2ob2o69b2ob2ob2ob2o69b2ob2ob2ob2o
69b2ob2ob2ob2o69b2ob2ob2ob2o69b2ob2ob2ob2o69b2ob2ob2ob2o69b2ob2ob2ob2o
69b2ob2ob2ob2o69b2ob2ob2ob2o69b2ob2ob2ob2o69b2ob2ob2ob2o69b2ob2ob2ob2o
69b2ob2ob2ob2o69b2ob2ob2ob2o69b2ob2ob2ob2o69b2ob2ob2ob2o69b2ob2ob2ob2o
69b2ob2ob2ob2o69b2ob2ob2ob2o69b2ob2ob2ob2o69b2ob2ob2ob2o69b2ob2ob2ob2o
69b2ob2ob2ob2o69b2ob2ob2ob2o69b2ob2ob2ob2o69b2ob2ob2ob2o69b2ob2ob2ob2o
69b2ob2ob2ob2o69b2ob2ob2ob2o69b2ob2ob2ob2o69b2ob2ob2ob2o69b2ob2ob2ob2o
69b2ob2ob2ob2o69b2ob2ob2ob2o69b2ob2ob2ob2o69b2ob2ob2ob2o69b2ob2ob2ob2o
69b2ob2ob2ob2o69b2ob2ob2ob2o69b2ob2ob2ob2o69b2ob2ob2ob2o69b2ob2ob2ob2o
69b2ob2ob2ob2o69b2ob2ob2ob2o69b2ob2ob2ob2o69b2ob2ob2ob2o69b2ob2ob2ob2o
69b2ob2ob2ob2o69b2ob2ob2ob2o69b2ob2ob2ob2o69b2ob2ob2ob2o69b2ob2ob2ob2o
69b2ob2ob2ob2o69b2ob2ob2ob2o69b2ob2ob2ob2o69b2ob2ob2ob2o69b2ob2ob2ob2o
69b2ob2ob2ob2o69b2ob2ob2ob2o69b2ob2ob2ob2o69b2ob2ob2ob2o69b2ob2ob2ob2o
69b2ob2ob2ob2o69b2ob2ob2ob2o69b2ob2ob2ob2o69b2ob2ob2ob2o69b2ob2ob2ob2o
69b2ob2ob2ob2o69b2ob2ob2ob2o69b2ob2ob2ob2o69b2ob2ob2ob2o69b2ob2ob2ob2o
69b2ob2ob2ob2o69b2ob2ob2ob2o69b2ob2ob2ob2o69b2ob2ob2ob2o69b2ob2ob2ob2o
69b2ob2ob2ob2o69b2ob2ob2ob2o69b2ob2ob2ob2o69b2ob2ob2ob2o69b2ob2ob2ob2o
69b2ob2ob2ob2o69b2ob2ob2ob2o69b2ob2ob2ob2o69b2ob2ob2ob2o69b2ob2ob2ob2o
69b2ob2ob2ob2o69b2ob2ob2ob2o69b2ob2ob2ob2o69b2ob2ob2ob2o69b2ob2ob2ob2o
69b2ob2ob2ob2o69b2ob2ob2ob2o69b2ob2ob2ob2o69b2ob2ob2ob2o69b2ob2ob2ob2o
69b2ob2ob2ob2o69b2ob2ob2ob2o69b2ob2ob2ob2o69b2ob2ob2ob2o69b2ob2ob2ob2o
69b2ob2ob2ob2o69b2ob2ob2ob2o69b2ob2ob2ob2o69b2ob2ob2ob2o69b2ob2ob2ob2o
69b2ob2ob2ob2o69b2ob2ob2ob2o69b2ob2ob2ob2o69b2ob2ob2ob2o69b2ob2ob2ob2o
69b2ob2ob2ob2o69b2ob2ob2ob2o69b2ob2ob2ob2o69b2ob2ob2ob2o69b2ob2ob2ob2o
69b2ob2ob2ob2o69b2ob2ob2ob2o69b2ob2ob2ob2o69b2ob2ob2ob2o69b2ob2ob2ob2o
69b2ob2ob2ob2o69b2ob2ob2ob2o69b2ob2ob2ob2o69b2ob2ob2ob2o69b2ob2ob2ob2o
69b2ob2ob2ob2o69b2ob2ob2ob2o69b2ob2ob2ob2o69b2ob2ob2ob2o69b2ob2ob2ob2o
69b2ob2ob2ob2o69b2ob2ob2ob2o69b2ob2ob2ob2o69b2ob2ob2ob2o69b2ob2ob2ob2o
69b2ob2ob2ob2o69b2ob2ob2ob2o69b2ob2ob2ob2o5$4b2o78b2o78b2o78b2o78b2o
78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o
78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o
78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o
78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o
78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o
78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o
78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o
78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o
78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o
78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o
78b2o78b2o78b2o78b2o78b2o$3bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76b
o2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76b
o2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76b
o2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76b
o2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76b
o2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76b
o2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76b
o2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76b
o2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76b
o2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76b
o2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76b
o2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76b
o2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76b
o2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76b
o2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76b
o2bo76bo2bo76bo2bo76bo2bo$4bob2o76bob2o76bob2o76bob2o76bob2o76bob2o76b
ob2o76bob2o76bob2o76bob2o76bob2o76bob2o76bob2o76bob2o76bob2o76bob2o76b
ob2o76bob2o76bob2o76bob2o76bob2o76bob2o76bob2o76bob2o76bob2o76bob2o76b
ob2o76bob2o76bob2o76bob2o76bob2o76bob2o76bob2o76bob2o76bob2o76bob2o76b
ob2o76bob2o76bob2o76bob2o76bob2o76bob2o76bob2o76bob2o76bob2o76bob2o76b
ob2o76bob2o76bob2o76bob2o76bob2o76bob2o76bob2o76bob2o76bob2o76bob2o76b
ob2o76bob2o76bob2o76bob2o76bob2o76bob2o76bob2o76bob2o76bob2o76bob2o76b
ob2o76bob2o76bob2o76bob2o76bob2o76bob2o76bob2o76bob2o76bob2o76bob2o76b
ob2o76bob2o76bob2o76bob2o76bob2o76bob2o76bob2o76bob2o76bob2o76bob2o76b
ob2o76bob2o76bob2o76bob2o76bob2o76bob2o76bob2o76bob2o76bob2o76bob2o76b
ob2o76bob2o76bob2o76bob2o76bob2o76bob2o76bob2o76bob2o76bob2o76bob2o76b
ob2o76bob2o76bob2o76bob2o76bob2o76bob2o76bob2o76bob2o76bob2o76bob2o76b
ob2o76bob2o76bob2o76bob2o76bob2o76bob2o76bob2o76bob2o76bob2o76bob2o76b
ob2o76bob2o76bob2o76bob2o76bob2o76bob2o76bob2o76bob2o76bob2o76bob2o76b
ob2o76bob2o76bob2o76bob2o76bob2o76bob2o76bob2o76bob2o76bob2o76bob2o76b
ob2o76bob2o76bob2o76bob2o$6bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo
79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo
79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo
79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo
79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo
79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo
79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo
79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo
79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo
79bo79bo79bo$5bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo
79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo
79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo
79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo
79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo
79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo
79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo
79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo
79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo$
5bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79b
o79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo
79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo
79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo
79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo
79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo
79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo
79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo
79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo$5bo79bo79bo79bo
79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo
79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo
79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo
79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo
79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo
79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo
79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo
79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo
79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo33$245bo79bo$244bobo77bobo$
244bobo77bobo$242bo3b2o75b2o3bo$245b2o77b2o$242b2o5bo71bo5b2o7667bo97b
o$247b3o71b3o2473b2o93b2o5101b3o95b3o$245b3o75b3o2471bobo91bobo5100b5o
93b5o$2798bob2o87b2obo4713bo77bo309b2ob3o91b3ob2o1994b2o65b2o$249b2ob
2o63b2ob2o404bo2557b2o79b2o4239bo4bo67bo4bo310b2ob2o91b2ob2o1994b2o67b
2o$249b3o67b3o404bo2072bo2b2o83b2o2bo392b2o79b2o4242bobo3b2o57b2o3bobo
315bo95bo1998bo65bo$564b2o79b2o79bo2077bo81bo879b3o73b3o155b2o87b2o
3517bo5b3o57b3o5bo4077b2o87b2o$564bobo77bobo2153b3ob2o79b2ob3o789bo85b
o2bo71bo2bo155b3o85b3o231b3o3279b2o2bob3o4bo55bo4b3obo2b2o235b3o1604b
2o1118b2o478b2o78b2o405bo72b2o69b3o85b3o$565bo79bo76b3o3b3o1503b2o99b
2o463b2ob3o79b3ob2o704bo84bo78b3o3bo79bo3b3o148b2o87b2o234bo228b2o99b
2o391b2o71b2o71b2o99b2o857b2o99b2o231b2o71b2o85b2o71b2o231b2o99b2o547b
2o3b2o5bo57bo5b2o3b2o238bo81bo75bo1444bo2bo702b2o99b2o151b2o71b2o85bo
2bo476bo2bo76bo2bo398b2o2b2ob2o69bo2bo68b2o87b2o$398bo93bo483b2o3bo
140bo85bo399bo73bo165bo73bo310bobo99bobo305bo156b2o2bo81bo2b2o704bo84b
o78bob2o7bo69bo7b2obo469bo4bo226bobo99bobo382b2ob2o2bobo71bobo2b2ob2o
62bobo99bobo855bobo99bobo222b2ob2o2bobo71bobo2b2ob2o69b2ob2o2bobo71bob
o2b2ob2o222bobo99bobo552bo5bo57bo5bo240bo4bo79b3o73b3o1444bob2o700bobo
99bobo142b2ob2o2bobo71bobo2b2ob2o78bob2o70bo405bob2o76bob2o399b2o3b2o
70bob2o$7b2o73b2o314bo93bo73bo77bo330bo4bo2bo138bo85bo398bobo71bobo
163bobo71bobo310bo101bo305bobo157b2o83b2o705b2o84bo76bo12bo69bo12bo
466b4o2bo227bo101bo383b2ob2o2bo75bo2b2ob2o63bo101bo702b2o89b2o62bo101b
o223b2ob2o2bo75bo2b2ob2o69b2ob2o2bo75bo2b2ob2o223bo101bo553bo69bo239b
4o8bobo70b2obo73bob2o1444bo3bo699bo101bo143b2ob2o2bo75bo2b2ob2o79bo3bo
67b2o406bo3bo75bo3bo400bob2o71bo3bo$7b2o73b2o314bo93bo73bo77bo331b3ob
2obo138bo85bo398bobo71bobo163bobo71bobo481b3o75b3o155bo2bo799bo232b2o
2bobo73bo7bo79bo7bo145b3o87b3o231bo8b3o707b2obo3bo71bo3bob2o236b3o75b
3o553b2o89b2o390b2obo3bo71bo3bob2o73b2obo3bo71bo3bob2o881b2o67b2o242bo
84b2o71b2o1451b2o946b2obo3bo71bo3bob2o85b2o66bobo409b2o78b2o401bo76b2o
63b3o87b3o$160b2o404bo77bo74bo256b3ob2ob2o145b2o67b2o407bo73bo165bo73b
o320b2o81b2o76bo3bo73bo3bo153bo2bo483b3o71b3o238b4o146b2o83b2o78bo7bob
3o71b3obo7bo145b3o87b3o232b2o6b2o229b2o81b2o399b3o71b3o79b2o81b2o76bo
3bo73bo3bo716b2o81b2o239b3o71b3o83b3o71b3o239b2o81b2o549b2o11b5o61b5o
11b2o230bo3bo79b2o71b2o1452b2o706b2o81b2o159b3o71b3o91b2o478b2o78b2o
395bo4bo77b2o62b3o87b3o$153b2o564bo259b5o67bo77b2ob2o63b2ob2o81bo83bo
795b3o76bobo81bobo74bo4bo73bo4bo151bo3bo90b3o63b2o87b2o235bo3bo69bo3bo
237b2ob2o145b2ob2o80b2obob2o75bobobobo6bob2o59b2obo6bobobobo146bobo89b
obo227b2o9b2obo227bobo81bobo395b2ob3o71b3ob2o75bobo81bobo74bo4bo73bo4b
o549b2o93b2o68bobo81bobo235b2ob3o71b3ob2o77b2ob3o71b3ob2o235bobo81bobo
548b2o14bo63bo14b2o226b2o7b3ob2o73b2o71b2o482b3o75b3o886bo2bo69bo79bo
556bobo81bobo155b2ob3o71b3ob2o85bo2bo476bo2bo76bo2bo395b3obobo74bo2bo
62bobo89bobo$152bobo3b2obo819bo69bo76bo4bo63bo4bo79bobo81bobo393b2o
479bo83bo75b2ob2o75b2ob2o148b4obo91bo3bo61b3o3b3o4bo65bo4b3o3b3o234bo
4bo67bo4bo236bo4b2o75b3o67b6o79bo10b2o71b2o5bob2ob2o59b2ob2obo5b2o151b
2o87b2o66bo2bo160bo8b2o231bo83bo555bo83bo75b2ob2o75b2ob2o547bo99bo67bo
83bo715bo83bo562bobo65bobo240bo4b2o4bo62b2o8bo79bo8b2o469bo2bo73bo2bo
239b2o77b2o397b2o81b2o83bob2o70b2o77b2o557bo83bo323bob2o310b3o75b3o85b
ob2o76bob2o67b2o239b3o84b4ob2o74bob2o65b2o87b2o66bo2bo$3bo83bo63b3o4b
3o241b2o83b2o562bo75b3o3bo63bo3b3o78b2o83b2o234b2o81b2o71b2o3bo78b2o
81b2o236bo238b2o81b2o151bo89bo69b2obo5bobo2b2o61b2o2bobo5bob2o236bo3bo
65bo3bo239b3ob2o146b3ob2o79bo2b2o5bobo62bobo3b3o5bobo2bo2bo57bo2bo2bob
o5b3o3bobo69b2o72bo89bo64b2o4b2o83b2o71bobo1041b2o81b2o238b2o78b2o74bo
85bo64b2o4b2o89b2o4b2o308b2o1038b2o162bobo2b2o57b2o2bobo238bobo5bo4bo
62b2o8b2o77b2o8b2o467b2o3bo73bo3b2o76b3o77b3o78b2o77b2o397b2o81b2o71bo
12b2o70bob2o75b2obo407bo61bo482bo12b2o315bo71bo90b2o65bo12b2o65b2o3bo
322b2obo68bo12b2o66bo89bo64b2o4b2o$2bo85bo64bo4bo243b2o83b2o313bo85bo
86b3o52b2o94bo4b2o65b2o4bo239bo81bo77b2o79b2o157b2o79b2o641bobo81b2o
73b2o3bo5bo63b2o5b2o4bo59bo4b2o5b2o237bo5bo65bo5bo237b6o152bo4b2o71bo
2b3o7b2o61bo2bo2bo6bo3bo3b2o57b2o3bo3bo6bo2bo2bo69b2o70bob3o85b3obo57b
3o2b7o84b2o71bo13b2o708b3o79b3o558b2o78b2o73bobo83bobo63bo6b2o4b3o73b
3o4b2o6bo225bo82b2o75b3o79b3o75b3o79b3o718b2o158bo8b2o57b2o8bo234bo8bo
77bobo73bobo316b2o85b2o73bo3b2o73b2o3bo76b3obo73bob3o232b3o2bo81bo2b3o
231b2o81b2o70bobo86bo75bo83bo75bo249bob2o57b2obo245bo79b3o79b3o70bobo
163b3o77b3o83bo69bo157bobo406bo4b2obo62bobo77bob3o85b3obo57b3o2b7o$bo
2bo81bo2bo63bo12b3o632bob2o81b2obo139bo2bo17bo75bobo73bobo238b3o79b3o
76b3o4b3o63b3o4b3o76b2o79b3o4b3o63b3o4b3o316bo83bo74b3o81b3o79b2obobo
3bo73bo75bo5bo3bo64b2obobobob5o59b5obobobob2o70b3o8b2o67b2o8b3o73bo2b
2o2bo65bo2b2o2bo239bo151b2obo7bo69b2o9bo64bobo3bob3o2bo3b2obo61bob2o3b
o2b3obo3bobo76b3o63b2o2bo83bo2b2o58b3o2b2obobo2bo89b3o64b2o11bo229bo
83bo75bo83bo79bo75bo79b3o79b3o75bo83bo74b3o81b3o71bobob3o77b3obobo82b
3o77b3o64bo3bo81bo3bo62bo2b2o2b3o3b4o71b4o3b3o2b2o2bo65bo83bo74b4o87b
3o67b3o79b3o75b3o79b3o235bo83bo79bo75bo79bo83bo85b3o149b3o75b3o79b2o
77b2o74b2o87bo71bo319b2ob2o79b2ob2o73bo2bo77bo2bo76bob3o73b3obo235b2ob
o79bob2o389bobo84b3o75b3o80bobo73bobo76bobo83bobo82b2ob2o57b2ob2o84bo
83bo74b4o77b3o79b3o70bobo78b2o5bo77bobo77bobo77bo4b2o69b2o4bo151bobo
82b2o75b3o85b3o160bob2o63bobo78b2o2bo83bo2b2o58b3o2b2obobo2bo$bo2bo81b
o2bo65bo9bo2bo401bo69bo164b2o77b2o142bob3o4b2o5bo3b2obo75b2o73b2o238bo
2b2o77b2o2bo66bobo8b2o3b2obo61bob2o3b2o8bobo69bo69bobo8b2o3b2obo61bob
2o3b2o8bobo229b3o74bobo81bobo73bobo81bobo79b2o3bo3b2o69bo78b3o81bob2o
61b2obo91bo67bo85bo3b2o69b2o3bo77bo3bo75bo3bo77bobo150bo2bo3bo2b2o67bo
bo3bo5b4o69b2o3bob2o69b2obo3b2o84bobo63bo2b2ob2o77b2ob2o2bo59bo8bobo2b
o87bobo64bo3b2o9bo65b2o85b2o72bobo81bobo73bobo81bobo77bobo73bobo77bobo
bo77bobobo73bobo81bobo73bobo81bobo70b2obo14bo55bo14bob2o81bobo77bobo
64bo3bo81bo3bo63bob2o7b2o2b2o69b2o2b2o7b2obo65bobo81bobo72bo4bo86bobo
66bobobo77bobobo73bobobo77bobobo72b2o85b2o72bobo81bobo77bobo73bobo77bo
bo81bobo84bobo148b2o2bo73bo2b2o77b2obo75bob2o73bo3b2o8b2o73bo71bo322bo
81bo77b3o2bo71bo2b3o77bo81bo231bo2bobobo79bobobo2bo381b2o3bo85b2o77b2o
79b2o77b2o75bo4b3o73b3o4bo78bo3b2o2b3o53b3o2b2o3bo79bobo81bobo72bo4bo
75bobobo77bobobo70bo79b2o4bobo76b3o77b3o77bo4b2o69b2o4bo147b2o3bo85bo
77bo3bo75bo3bo156bo4bob2o61b2o3bo79bo2b2ob2o77b2ob2o2bo59bo8bobo2bo$2b
2o83b2o76b2obo400b3o67b3o155b3o4b2obo75bob2o4b3o65b2o62b2o3b2o3bo2bo2b
o3b5o4bo388b3ob2o3b2o67b2o3b2ob3o64bo2bo7bo2bo3b2o63b2o3bo2bo7bo2bo67b
o69bo2bo7bo2bo3b2o63b2o3bo2bo7bo2bo228b2obo72b2ob2o79b2ob2o71bo2bo81bo
2bo77b4o2bo3bobo63bo5b2o85b2o63bo5bobobo67bobobo5bo69b2o89b2o74b2o75b
2o78bo3bo75bo3bo76b2obo150b2o2bo7bo65b3o2b2obo6bo71bo6bo69bo6bo74b2o9b
3o65bo4bo77bo4bo71b2o2bo76b2o9b3o68b3o6bo2b2o223b2ob2o79b2ob2o71b2ob2o
79b2ob2o75b2ob2o71b2ob2o76b2o83b2o72b2ob2o79b2ob2o71bo2bo81bo2bo68bo4b
3o11bo55bo11b3o4bo69b2o9b3o66b2o9b3o64bo3bo81bo3bo75b2obo71bob2o76b2ob
2o79b2ob2o76bob2o72b2o9b3o66b2o83b2o73b2o83b2o232b2ob2o79b2ob2o75b2ob
2o71b2ob2o75b2ob2o79b2ob2o72b2o9b3o72bobo68b2o3b2ob3o71b3ob2o3b2o72b2o
b2o73b2ob2o77b3o6bo2b2o68bo2bo71bo2bo85b2o78b2o67b2o82b2o81b2o78b5o69b
5o79bo2bo75bo2bo231bo2bo2bo81bo2bo2bo380bo2bo7b2o240bob2o71b2obo76bo2b
obo77bobo2bo78bo3bob4obo51bob4obo3bo78b2ob2o79b2ob2o76bob2o72b2o83b2o
75b2o79bo2bo227b2o6bo81bo6b2o69b2o67bo2bo7b2o78bo83bo73bo160bobo67bo2b
o7b2o75bo4bo77bo4bo71b2o2bo$568bo3bo65bo3bo81b2o73bob2o2bo2bo73bo2bo2b
2obo66bobo61bo4bo2b2obobo4bo5b4o2b2o388b5o3bobo65bobo3b5o65bo101bo137b
o101bo65b2o83b2o75b2obo75b3o79b3o78b3o73b3o81bo3bo7b3o61bobo5bo84bob2o
62bo5bo75bo5bo552b2o3bo74b2o5b3o63b2o3b3o4bo2bo66b2o2b2o77b2o8bo69bo8b
2o71b2o82bo3b3o65b3o3bo81bo3b3o69b2o82bo5b3o2bo225b3o79b3o75b3o79b3o
77b3o75b3o237b3o79b3o78b3o73b3o72bo5bo2b2o9bo55bo9b2o2bo5bo68b2o78b2o
77bobo6b2o67b2o6bobo76b3o73b3o78b3o79b3o74bo2bo3b2o71b2o559b3o79b3o77b
3o75b3o77b3o79b3o74b2o76b2o5bo2bo67bobo3b5o73b5o3bobo69bobo3b2o71b2o3b
obo77bo5b3o2bo67bo79bo84b2ob2o75b2ob2o61b2ob2o83bo3bo73bo3bo79b2o3bo
67bo3b2o82b4o69b4o77b2o85b2o544b2o7bo2bo241bo73bo78bo3b2o77b2o3bo77bo
5b4o2bo51bo2b4o5bo79b3o79b3o74bo2bo3b2o232bo2bo79b2o228b2o95b2o68bo2bo
67b2o7bo2bo152b2o8bobo67bobo8b2o70b2o5b3o68b2obobo3bo2bobo59b2o7bo2bo
79bo3b3o65b3o3bo81bo3b3o$167bo398bo2bob2o65b2obo2bo79b2o75bo6bo73bo6bo
67b2o64b2o3b2o3bobobo14b3o389bo7b2o63b2o7bo67b3o97b3o69b2o66b3o97b3o
65b2o83b2o75bo79b2o79b2o75b2o2bo77bo2b2o80b2o6bobo63b2o3b3o83b2ob2o67b
5o69b5o78b2o2bo75bo2b2o74b2o83b2o233b2ob2o74bo2bo4bobo63b2o12b2o150bo
7bo71bo7bo152b2obo4bobo65bobo4bob2o73bo2bo4bobo149bo2bo6bo4bo226b2o79b
2o77b2o79b2o78b2o77b2o79b2o77b2o78b2o79b2o75b2o2bo77bo2b2o69bo8bo75bo
8bo229bo7b2o67b2o7bo78bo75bo80b2o79b2o72bo6b5o154b2o77b2o79b2o77b2o
238b2o79b2o78b2o77b2o78b2o79b2o152b2obo5bobo66b2o7bo77bo7b2o68bob2ob2o
73b2ob2obo73bo2bo6bo4bo67bo79bo84bo2bob2o73bo2bob2o57b2obo2bo84b3obo
71bob3o79bo3b2o69b2o3bo78bo4b2o69b2o4bo74bobo5bo71bo5bobo69b3o87b3o75b
2o73b2o85bo71bo82bobo75b3o81b3o76bobo75bobo73b2o3bo2bo75bo2bo3b2o67b2o
7bo3b7o53b7o3bo7b2o72b2o79b2o72bo6b5o74b2o77b2o78bobo323bo69bo83bobo
77bobo79b2o71bo7bobo2bo65bo2bobo7bo69bo2bo4bobo68b2o7bo3bob2o67bobo75b
2obo4bobo65bobo4bob2o73bo2bo4bobo$166bobo396bob2o73b2obo160b3o73b3o73b
obo67bob6ob3o3bo245b2o69b2o88bobo65bobo244bo2bo394bo2bo77b2o79b2o77bob
o77bobo79bo3bo2bo3b2o156b2ob2o223bo3bo75bo3bo73b2obo81bob2o234bo77b2o
4bo2bo148bobo80b2o81b2o156bo5b3o65b3o5bo75b3o5b3o149bobo7b5o66bo83bo
76b2o79b2o77b2o79b2o78b2o77b2o79b2o77b2o78b2o79b2o77bobo77bobo67b3o11b
4o67b4o11b3o547b2o79b2o73b2o8bo154b2o77b2o79b2o77b2o77bo83bo76b2o79b2o
78b2o77b2o78b2o79b2o153bo2bo74bobo89bobo72b3o75b3o76bobo7b5o57b3o8bo3b
o71bo3bo8b3o73bo5bo73bo5bo57bo5bo79b8obo71bob8o75b4o71b4o79bo3b2o71b2o
3bo74bo7bo71bo7bo236bob2o71b2obo85bo69bo84bo240bo77bo74b2ob4obo75bob4o
b2o67b2o7bo3bo65bo3bo7b2o72b2o79b2o73b2o8bo74b2o77b2o79bo150b2o95b2o
73bobo69bobo82bo79bo79bo2bo73bobobo2bo2bo65bo2bo2bobobo73b2o4bo2bo69b
3obo4bo3b2o69bo78bo5b3o65b3o5bo75b3o5b3o$166bobo398b2o73b2o315b2o68bo
2bo3b5o247bobo69bobo87b2o67b2o244bo2bo394b4o78bo2bo73bo2bo243bo7bo158b
3o225b2o79b2o75bob2o79b2obo74bo3bo75bo3bo160bobo149b3o80b2o81b2o390b2o
93b2o69b2o79b2o78bo2bo73bo2bo79bo2bo73bo2bo76bo2bo79bo2bo236bo2bo73bo
2bo232bo4bo2b4o2bo65bo2b4o2bo4bo552bo2bo73bo2bo80bo3bo66b2o405b2o79b2o
78bo2bo73bo2bo76bo2bo79bo2bo76bo2bo73bo2bo155bobob2o72b2o89b2o73bo79bo
87b2o71b3o73b3o84bo2bo76bo2bo65bo2bo78b3o2bo2bo73bo2bo2b3o76bo75bo81b
2o77b2o83bo71bo243b2obo73bob2o82b3o69b3o69b2o89b2o81b2o238bo77bo85bo
69bo84bo2bo73bo2bo80bo3bo385b2o95b2o74b2o69b2o243bo2bo81b3o65b3o87bobo
72b2o$1030b2o255b3o71b3o402b2o478b2o75b2o413bo384b2o81b2o75bo3bo75bo3b
o160b3o233b2o79b2o70b2o319b2o326b2o75b2o81b2o75b2o78b2o81b2o238b2o75b
2o232bo12b2o67b2o12bo142b2o408b2o75b2o82bobo67b2o567b2o75b2o78b2o81b2o
78b2o75b2o157bobo642bo79bo75bo78bo3b2o75b2o3bo717b2o75b2o227b2o732b2o
75b2o82bobo876b2o240b3o$1288b2o71b2o2554b2o1599bo3bo85bo3bo63b2o78b2o
570bo1106b2o731b5ob2o72b5ob2o59b2ob5o83b2o75b2o1923bo783b2o477b2o$
5519b4o85b4o64b2o1757b2o735b2o78b2o63b2o2873b2o477b2o$3b5o75b5o75b5o
75b5o75b5o75b5o75b5o75b5o75b5o75b5o75b5o75b5o75b5o75b5o75b5o75b5o75b5o
75b5o75b5o75b5o75b5o75b5o75b5o75b5o75b5o75b5o75b5o75b5o75b5o75b5o75b5o
75b5o75b5o75b5o75b5o75b5o75b5o75b5o75b5o75b5o75b5o75b5o75b5o75b5o75b5o
75b5o75b5o75b5o75b5o75b5o75b5o75b5o75b5o75b5o75b5o75b5o75b5o75b5o75b5o
75b5o75b5o75b5o75b5o75b5o75b5o75b5o75b5o75b5o75b5o75b5o75b5o75b5o75b5o
75b5o75b5o75b5o75b5o75b5o75b5o75b5o75b5o75b5o75b5o75b5o75b5o75b5o75b5o
75b5o75b5o75b5o75b5o75b5o75b5o75b5o75b5o75b5o75b5o75b5o75b5o75b5o75b5o
75b5o75b5o75b5o75b5o75b5o75b5o75b5o75b5o75b5o75b5o75b5o75b5o75b5o75b5o
75b5o75b5o75b5o75b5o75b5o75b5o75b5o75b5o75b5o75b5o75b5o75b5o75b5o75b5o
75b5o75b5o75b5o75b5o75b5o75b5o75b5o75b5o75b5o75b5o75b5o75b5o75b5o75b5o
75b5o75b5o75b5o75b5o75b5o75b5o75b5o$2bo2bo2bo73bo2bo2bo73bo2bo2bo73bo
2bo2bo73bo2bo2bo73bo2bo2bo73bo2bo2bo73bo2bo2bo73bo2bo2bo73bo2bo2bo73bo
2bo2bo73bo2bo2bo73bo2bo2bo73bo2bo2bo73bo2bo2bo73bo2bo2bo73bo2bo2bo73bo
2bo2bo73bo2bo2bo73bo2bo2bo73bo2bo2bo73bo2bo2bo73bo2bo2bo73bo2bo2bo73bo
2bo2bo73bo2bo2bo73bo2bo2bo73bo2bo2bo73bo2bo2bo73bo2bo2bo73bo2bo2bo73bo
2bo2bo73bo2bo2bo73bo2bo2bo73bo2bo2bo73bo2bo2bo73bo2bo2bo73bo2bo2bo73bo
2bo2bo73bo2bo2bo73bo2bo2bo73bo2bo2bo73bo2bo2bo73bo2bo2bo73bo2bo2bo73bo
2bo2bo73bo2bo2bo73bo2bo2bo73bo2bo2bo73bo2bo2bo73bo2bo2bo73bo2bo2bo73bo
2bo2bo73bo2bo2bo73bo2bo2bo73bo2bo2bo73bo2bo2bo73bo2bo2bo73bo2bo2bo73bo
2bo2bo73bo2bo2bo73bo2bo2bo73bo2bo2bo73bo2bo2bo73bo2bo2bo73bo2bo2bo73bo
2bo2bo73bo2bo2bo73bo2bo2bo73bo2bo2bo73bo2bo2bo73bo2bo2bo73bo2bo2bo73bo
2bo2bo73bo2bo2bo73bo2bo2bo73bo2bo2bo73bo2bo2bo73bo2bo2bo73bo2bo2bo73bo
2bo2bo73bo2bo2bo73bo2bo2bo73bo2bo2bo73bo2bo2bo73bo2bo2bo73bo2bo2bo73bo
2bo2bo73bo2bo2bo73bo2bo2bo73bo2bo2bo73bo2bo2bo73bo2bo2bo73bo2bo2bo73bo
2bo2bo73bo2bo2bo73bo2bo2bo73bo2bo2bo73bo2bo2bo73bo2bo2bo73bo2bo2bo73bo
2bo2bo73bo2bo2bo73bo2bo2bo73bo2bo2bo73bo2bo2bo73bo2bo2bo73bo2bo2bo73bo
2bo2bo73bo2bo2bo73bo2bo2bo73bo2bo2bo73bo2bo2bo73bo2bo2bo73bo2bo2bo73bo
2bo2bo73bo2bo2bo73bo2bo2bo73bo2bo2bo73bo2bo2bo73bo2bo2bo73bo2bo2bo73bo
2bo2bo73bo2bo2bo73bo2bo2bo73bo2bo2bo73bo2bo2bo73bo2bo2bo73bo2bo2bo73bo
2bo2bo73bo2bo2bo73bo2bo2bo73bo2bo2bo73bo2bo2bo73bo2bo2bo73bo2bo2bo73bo
2bo2bo73bo2bo2bo73bo2bo2bo73bo2bo2bo73bo2bo2bo73bo2bo2bo73bo2bo2bo73bo
2bo2bo73bo2bo2bo73bo2bo2bo73bo2bo2bo73bo2bo2bo73bo2bo2bo73bo2bo2bo$bob
obobobo71bobobobobo71bobobobobo71bobobobobo71bobobobobo71bobobobobo71b
obobobobo71bobobobobo71bobobobobo71bobobobobo71bobobobobo71bobobobobo
71bobobobobo71bobobobobo71bobobobobo71bobobobobo71bobobobobo71bobobobo
bo71bobobobobo71bobobobobo71bobobobobo71bobobobobo71bobobobobo71bobobo
bobo71bobobobobo71bobobobobo71bobobobobo71bobobobobo71bobobobobo71bobo
bobobo71bobobobobo71bobobobobo71bobobobobo71bobobobobo71bobobobobo71bo
bobobobo71bobobobobo71bobobobobo71bobobobobo71bobobobobo71bobobobobo
71bobobobobo71bobobobobo71bobobobobo71bobobobobo71bobobobobo71bobobobo
bo71bobobobobo71bobobobobo71bobobobobo71bobobobobo71bobobobobo71bobobo
bobo71bobobobobo71bobobobobo71bobobobobo71bobobobobo71bobobobobo71bobo
bobobo71bobobobobo71bobobobobo71bobobobobo71bobobobobo71bobobobobo71bo
bobobobo71bobobobobo71bobobobobo71bobobobobo71bobobobobo71bobobobobo
71bobobobobo71bobobobobo71bobobobobo71bobobobobo71bobobobobo71bobobobo
bo71bobobobobo71bobobobobo71bobobobobo71bobobobobo71bobobobobo71bobobo
bobo71bobobobobo71bobobobobo71bobobobobo71bobobobobo71bobobobobo71bobo
bobobo71bobobobobo71bobobobobo71bobobobobo71bobobobobo71bobobobobo71bo
bobobobo71bobobobobo71bobobobobo71bobobobobo71bobobobobo71bobobobobo
71bobobobobo71bobobobobo71bobobobobo71bobobobobo71bobobobobo71bobobobo
bo71bobobobobo71bobobobobo71bobobobobo71bobobobobo71bobobobobo71bobobo
bobo71bobobobobo71bobobobobo71bobobobobo71bobobobobo71bobobobobo71bobo
bobobo71bobobobobo71bobobobobo71bobobobobo71bobobobobo71bobobobobo71bo
bobobobo71bobobobobo71bobobobobo71bobobobobo71bobobobobo71bobobobobo
71bobobobobo71bobobobobo71bobobobobo71bobobobobo71bobobobobo71bobobobo
bo71bobobobobo71bobobobobo71bobobobobo71bobobobobo71bobobobobo71bobobo
bobo71bobobobobo71bobobobobo71bobobobobo71bobobobobo71bobobobobo71bobo
bobobo71bobobobobo71bobobobobo71bobobobobo71bobobobobo$bobo3bobo71bobo
3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bob
o71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71b
obo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo
3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bob
o71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71b
obo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo
3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bob
o71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71b
obo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo
3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bob
o71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71b
obo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo
3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bob
o71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71b
obo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo
3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bob
o71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71b
obo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo
3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bob
o71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71b
obo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo
3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bob
o71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71bobo3bobo71b
obo3bobo71bobo3bobo71bobo3bobo$2obobobob2o69b2obobobob2o69b2obobobob2o
69b2obobobob2o69b2obobobob2o69b2obobobob2o69b2obobobob2o69b2obobobob2o
69b2obobobob2o69b2obobobob2o69b2obobobob2o69b2obobobob2o69b2obobobob2o
69b2obobobob2o69b2obobobob2o69b2obobobob2o69b2obobobob2o69b2obobobob2o
69b2obobobob2o69b2obobobob2o69b2obobobob2o69b2obobobob2o69b2obobobob2o
69b2obobobob2o69b2obobobob2o69b2obobobob2o69b2obobobob2o69b2obobobob2o
69b2obobobob2o69b2obobobob2o69b2obobobob2o69b2obobobob2o69b2obobobob2o
69b2obobobob2o69b2obobobob2o69b2obobobob2o69b2obobobob2o69b2obobobob2o
69b2obobobob2o69b2obobobob2o69b2obobobob2o69b2obobobob2o69b2obobobob2o
69b2obobobob2o69b2obobobob2o69b2obobobob2o69b2obobobob2o69b2obobobob2o
69b2obobobob2o69b2obobobob2o69b2obobobob2o69b2obobobob2o69b2obobobob2o
69b2obobobob2o69b2obobobob2o69b2obobobob2o69b2obobobob2o69b2obobobob2o
69b2obobobob2o69b2obobobob2o69b2obobobob2o69b2obobobob2o69b2obobobob2o
69b2obobobob2o69b2obobobob2o69b2obobobob2o69b2obobobob2o69b2obobobob2o
69b2obobobob2o69b2obobobob2o69b2obobobob2o69b2obobobob2o69b2obobobob2o
69b2obobobob2o69b2obobobob2o69b2obobobob2o69b2obobobob2o69b2obobobob2o
69b2obobobob2o69b2obobobob2o69b2obobobob2o69b2obobobob2o69b2obobobob2o
69b2obobobob2o69b2obobobob2o69b2obobobob2o69b2obobobob2o69b2obobobob2o
69b2obobobob2o69b2obobobob2o69b2obobobob2o69b2obobobob2o69b2obobobob2o
69b2obobobob2o69b2obobobob2o69b2obobobob2o69b2obobobob2o69b2obobobob2o
69b2obobobob2o69b2obobobob2o69b2obobobob2o69b2obobobob2o69b2obobobob2o
69b2obobobob2o69b2obobobob2o69b2obobobob2o69b2obobobob2o69b2obobobob2o
69b2obobobob2o69b2obobobob2o69b2obobobob2o69b2obobobob2o69b2obobobob2o
69b2obobobob2o69b2obobobob2o69b2obobobob2o69b2obobobob2o69b2obobobob2o
69b2obobobob2o69b2obobobob2o69b2obobobob2o69b2obobobob2o69b2obobobob2o
69b2obobobob2o69b2obobobob2o69b2obobobob2o69b2obobobob2o69b2obobobob2o
69b2obobobob2o69b2obobobob2o69b2obobobob2o69b2obobobob2o69b2obobobob2o
69b2obobobob2o69b2obobobob2o69b2obobobob2o69b2obobobob2o69b2obobobob2o
69b2obobobob2o69b2obobobob2o69b2obobobob2o69b2obobobob2o69b2obobobob2o
69b2obobobob2o69b2obobobob2o69b2obobobob2o69b2obobobob2o69b2obobobob2o
69b2obobobob2o69b2obobobob2o$4b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o
77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o
77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o
77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o
77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o
77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o
77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o
77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o
77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o
77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o
77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o
77b3o77b3o2$4b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b
3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b
3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b
3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b
3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b
3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b
3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b
3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b
3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b
3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b
3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o77b3o$3bo3bo
75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo
75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo
75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo
75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo
75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo
75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo
75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo
75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo
75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo
75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo
75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo
75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo
75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo
75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo
75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo75bo3bo$3b2ob
2o75b2ob2o75b2ob2o75b2ob2o75b2ob2o75b2ob2o75b2ob2o75b2ob2o75b2ob2o75b
2ob2o75b2ob2o75b2ob2o75b2ob2o75b2ob2o75b2ob2o75b2ob2o75b2ob2o75b2ob2o
75b2ob2o75b2ob2o75b2ob2o75b2ob2o75b2ob2o75b2ob2o75b2ob2o75b2ob2o75b2ob
2o75b2ob2o75b2ob2o75b2ob2o75b2ob2o75b2ob2o75b2ob2o75b2ob2o75b2ob2o75b
2ob2o75b2ob2o75b2ob2o75b2ob2o75b2ob2o75b2ob2o75b2ob2o75b2ob2o75b2ob2o
75b2ob2o75b2ob2o75b2ob2o75b2ob2o75b2ob2o75b2ob2o75b2ob2o75b2ob2o75b2ob
2o75b2ob2o75b2ob2o75b2ob2o75b2ob2o75b2ob2o75b2ob2o75b2ob2o75b2ob2o75b
2ob2o75b2ob2o75b2ob2o75b2ob2o75b2ob2o75b2ob2o75b2ob2o75b2ob2o75b2ob2o
75b2ob2o75b2ob2o75b2ob2o75b2ob2o75b2ob2o75b2ob2o75b2ob2o75b2ob2o75b2ob
2o75b2ob2o75b2ob2o75b2ob2o75b2ob2o75b2ob2o75b2ob2o75b2ob2o75b2ob2o75b
2ob2o75b2ob2o75b2ob2o75b2ob2o75b2ob2o75b2ob2o75b2ob2o75b2ob2o75b2ob2o
75b2ob2o75b2ob2o75b2ob2o75b2ob2o75b2ob2o75b2ob2o75b2ob2o75b2ob2o75b2ob
2o75b2ob2o75b2ob2o75b2ob2o75b2ob2o75b2ob2o75b2ob2o75b2ob2o75b2ob2o75b
2ob2o75b2ob2o75b2ob2o75b2ob2o75b2ob2o75b2ob2o75b2ob2o75b2ob2o75b2ob2o
75b2ob2o75b2ob2o75b2ob2o75b2ob2o75b2ob2o75b2ob2o75b2ob2o75b2ob2o75b2ob
2o75b2ob2o75b2ob2o75b2ob2o75b2ob2o75b2ob2o75b2ob2o75b2ob2o75b2ob2o75b
2ob2o75b2ob2o75b2ob2o75b2ob2o75b2ob2o75b2ob2o75b2ob2o75b2ob2o75b2ob2o
75b2ob2o75b2ob2o!
I am tentatively considering myself back.

User avatar
iNoMed
Moderator
Posts: 607
Joined: August 29th, 2020, 3:05 pm
Location: Scotland

Re: Synthesising Oscillators

Post by iNoMed » October 29th, 2021, 12:41 pm

Quasar in 24G (Down from 30G) by sourcing a reaction found in a C4_1 soup, likely improvable to 20G though:

Code: Select all

x = 65, y = 65, rule = B3/S23
58bo$58bobo$58b2o2$bo26bo$2bo26b2o$3o25b2o3$31bo$29bobo$30b2o$38bo$38b
obo$30bobo5b2o4bo$31b2o9b2o$31bo11b2o4$14bobo$15b2o$15bo2$13bo$14bo$
12b3o2$58bobo$54bo3b2o$50bo2bo5bo$48b2o3b3o$14b2o33b2o$9b3o3b2o$5bo5bo
2bo$5b2o3bo$4bobo2$50b3o$50bo$51bo2$49bo$48b2o$48bobo4$20b2o11bo$21b2o
9b2o$20bo4b2o5bobo$24bobo$26bo$33b2o$33bobo$33bo3$35b2o25b3o$34b2o26bo
$36bo26bo2$5b2o$4bobo$6bo!
Edit: And here's a rough attempt at making a 54P17 final step:

Code: Select all

x = 61, y = 16, rule = B3/S23
8bo19bo22bo$7bobo17bobo20bobo$7bobo3b2o12bobo3b2o15bobo3b2o$4b2obob2o
3bo9b2obob2o3bo12b2obob2o3bo$5bobo4bobob2o7bobo4bobob2o10bobo4bobob2o$
3bo2bob5obo2bo5bo2bob5obo2bo8bo2bob5obo2bo$3b2obobo4bobo7b2obobo4bobo
10b2obobo4bobo$6bo2b2obo2b2o9bo2b2obo2b2o12bo2b2obo2b2o$6bo3bobobo11bo
3bobobo14bo3bobobo$4b2o4bobobo9b2o4bobobo12b2o4bobobo$2obo4b2obobo9bo
4b2obobo12bo4b2obobo$ob2o4bo2bo16bo2bo19bo2bo$6b2o2bobo9b4obo2bobo11b
2o2b2o3bobo$6bo4bo12b2o5bobo14bo5bobo$7bo22b2o21b2o$6b2o25bo22bo!
Edit 2 on November 3rd: And here's Honey Thieves in 15G (Down from 17G), achieved with a 4-glider honeyfarm inserter that also allows for a cheaper construction of the first three fishhooks:

Code: Select all

x = 243, y = 22, rule = B3/S23
115bobo$115b2o$116bo$102bo135bobo$100bobo8bo126b2o$101b2o8bobo100bo24b
o$111b2o99bobo$66b2o48b2o62b2o31b2o26b2o$66bo49bo42bobo18bo38b2o20bo$
10bo53bobo47bobo42b2o17bobo37bo2bo17bobo$10bobo46bo4b2o48b2o44bo17b2o
38bo2bo17b2o$10b2o48b2o157b2o$16b2o41b2o8bo103bo60bo$7bo7b2o51bo103bob
o58bobo$8b2o7bo50b3o87b2o11bo2bo57bo2bo$7b2o148bobo12b2o59b2o$114b2o
43bo18b2o59b2o$114bobo61bobo58bobo$2b2o51b2o48b2o9bo52b2o9bo41bo7b2o9b
o$bobo50bobo47bobo9b2o50bobo9b2o40b2o5bobo9b2o$bo52bo49bo63bo52bobo5bo
$2o51b2o48b2o62b2o59b2o!
Edit 3: Honey Thieves in 13G, because of course there's a 2G honeyfarm:

Code: Select all

x = 174, y = 23, rule = B3/S23
145bo$143bobo$144b2o$88bobo59b2o$88b2o59bo2bo$5bobo81bo59bo2bo$5b2o8b
2o38b2o52b2o39b2o8bobo9b2o$6bo8bo39bo53bo51b2o9bo$13bobo37bobo51bobo
51bo8bobo$13b2o33bo4b2o32b2o18b2o61b2o$o4b2o42b2o35bobo$b2o3b2o40b2o8b
o29bo$2o3bo51bo$44b2o11b3o38b2o53bo7b2o$43bobo51bobo53b2o5bobo$43bo53b
o9b2o43bobo5bo9b2o$42b2o52b2o9bobo49b2o9bobo$109bo62bo$109b2o61b2o2$
160b2o$161b2o$160bo!
Relatedly, Honey Thieves with Test Tube Baby in 18G:

Code: Select all

x = 215, y = 42, rule = B3/S23
o41bo$b2o38bo$2o39b3o14$29bo$27b2o$28b2o$182bo$180bobo$181b2o$19b2o
104bobo59b2o$18bobo104b2o59bo2bo$20bo57bobo8b2o35bo20b2o37bo2bo20b2o$
78b2o8bo2bo54bo2bo37b2o8bobo9bo2bo$79bo8bo2bo54bo2bo48b2o9bo2bo$8b2o
76bobo2bobo50bobo2bobo46bo8bobo2bobo$9b2o75b2o4b2o30b2o18b2o4b2o55b2o
4b2o$8bo22b3o39bo4b2o43bobo$31bo42b2o3b2o44bo$14bo17bo40b2o3bo$14b2o
119b2o53bo7b2o$13bobo118bobo53b2o5bobo$18b2o66b2o46bo9b2o43bobo5bo9b2o
$18bobo65bobo44b2o9bobo49b2o9bobo$20bo67bo57bo62bo$20b2o66b2o56b2o61b
2o2$197b2o$198b2o$197bo!

Code: Select all

x = 35, y = 5, rule = B3/S23
4b2o3b2o3bo3b2ob2o3b2ob2o$2o2bobo3bo2bobobobobobobobobobo$obobo2bo2bob
o2bobo2bo2bobo3bobo$2bobo3bobobobo2bo5bobo3bobob2o$b2ob2o3b2ob2o3b2o3b
2ob2o3b2ob2o!

MathAndCode
Posts: 5141
Joined: August 31st, 2020, 5:58 pm

Re: Synthesising Oscillators

Post by MathAndCode » November 6th, 2021, 2:04 am

I improved the synthesis of the circle of fire.

Code: Select all

x = 3955, y = 69, rule = B3/S23
474bo2522bo$475bo2520bo$473b3o2520b3o3$116bo$114b2o8bo$115b2o5b2o$123b
2o2$1099bobo$486bo595bo16b2o$487bo595b2o15bo2221bo20bo$485b3o594b2o2239b
2o17bo$2402bo913bo5b2o18b3o$322bo1567bobo509bobo909bobo$119bo202bobo155b
o6bobo607bobo248bobo540b2o509b2o337bo4bobo8bo10bo546b2o$118b2o145bo56b
2o154b2o7b2o608b2o250b2o540bo847bobo5b2o8bobo7bo4bobo206bo$118bobo144b
obo211b2o7bo609bo3bobo244bo697bobo46bo643b2o5bo5bo3b2o8b3o2b2o205bobo
818bo24bo$265b2o51bo757bo25b2o799bo143b2o47bobo655bo18bo206b2o819b2o22b
obo$223bo92bobo151bo603bobo26bo800bo22bobo118bo47b2o4bo278bo364bo5b3o
165bo473b2o404b2o23b2o$224bo92b2o3bobo146b2o602b2o825b3o22b2o163bo8bo
277bobo309bo55bo173b2o471b2o$113bobo106b3o41b2o54b2o43b2o48b2o4bo46b2o
7bo5b2o58bobo1380bo113bo50b2o6b3o118bo157b2o309bobo51b3o172b2o58b2o100b
obo647bo$85bobo25b2o150b2o56bo44bo3bo45bo3bo54b2o7bo5bo52b2o1451bobo42b
2o47b2o129b2o92bo76bo296b2o83b3o46b2o47b2o105b2o100b2o638bo8bobo208bo
$86b2o26bo64bo87bo99bo4bobo42bo4b3o53b2o5bo5b2o53bo815bobo633b2o42b2o
178b2o92bobo74bobo291bo88bo36bo11bobo46bobo103bo102bo229bo83bo71bo254b
o7b2o203bo3bobo5bo$86bo93b2o40bo95b2o3bo42bo5b2o42bo49bo17bo6bobo722b
o145b2o635bo37bo105bo173b2o75b2o292b2o87bo35bo12bo48bo163b2o74b2o95b2o
93bobo2bo15b2o67bo71bobo182bo67b3o213b2o2b2o3b2o$179b2o40bobo39b2o52b
obo2bo42bo49bo48bobo16bo730b2o147bo674bo58b2o45bo296b2o60b2o64b2o62b2o
52b2o6b2o62b2o52bo217bo7b2o54bo19b2o89b2o4b2o94b2o2b3o7b2o4b2o67bo71b
2o181b2o283b2o9b2o$97bo14b2o108b2o39b2o51bo5b3o39bo49bo3b2o45b2o15bo3b
2o727b2o819b3o5bo53bo43b3o7b2o70b2o91b2o75b2o44bo2bo58bo2bo62bo2bo60b
o2bo58bo2bo43b3o10b2o2bo2bo109b3o52bo102bobo61b2o111bo101bo13bo330b2o
$95b2o16b2o200bo47bo5b3o41bo4b2o4b2o55bo4bo662b2ob2o6bobo39b2ob2o16bo
126b2ob2o110b2ob2o92b2ob2o88b2ob2o49b2ob2o43b2ob2o65b2ob2o62b2ob2o81b
2ob2o59b2o5b2ob2o41bo3b2ob2o47bo3b2ob2o63bo3b2ob2o84bo3b2ob2o68bo3b2o
b2o36b2obo2b2ob2o51b2obo2b2ob2o14bo40b2obo2b2ob2o53b2obo2b2ob2o51b2ob
o2b2ob2o38bo11bo2b2obo2b2ob2o41b2o16b2o2b2ob2o36bo3b2o2b2ob2o38b2o7b2o
2b2ob2o39b2o2b2ob2o40b2o7b2o2b2ob2o46b2o19b2o2b2ob2o83bo4b2o2b2ob2o102b
o4b2o2b2ob2o56b3o3b3o4b2ob2o39b2ob2o56b2ob2o44b2ob2o49b2ob2o91b2ob2o85b
2ob2o9b2o65b2ob2o55b2ob2o$96b2o14bo68b2o39b2o39b2o50b2o46b2o4bo43b2o8b
2o56b2o5bo7bo42bo7b2o2b2o48b2o2b2o35b2o2b2o46b2o2b2o42b2o2b2o44b2o2b2o
50b2o2b2o50b2o2b2o79b2o2b2o91b2o2b2o56bobobobo6b2o38bobobobo14bo126bo
bobobo108bobobobo90bobobobo86bobobobo47bobobobo41bobobobo63bobobobo60b
obobobo79bobobobo57bobo4bobobobo39bo3bobobobo45bo3bobobobo56b2o3bo3bo
bobobo77b2o3bo3bobobobo61b2o3bo3bobobobo38bobobobobo53bobobobobo11b2o
44bobobobobo55bobobobobo42bo10bobobobobo36bo9b3o6bobobobobo39bobo16bo
2bobobobo34bo4bo2bobobobo38b2o6bo2bobobobo38bo2bobobobo48bo2bobobobo60b
2o4bo2bobobobo81b2o4bo2bobobobo100b2o4bo2bobobobo67bobobobo37bobobobo
54bobobobo42bobobobo47bobobobo89bobobobo83bobobobo7bo2bo63bobobobo46b
obo4bobobobo$173b2o2bo4bo31b2o2bo4bo31b2o2bo4bo42b2o2bo4bo38b2o2bo4bo
5bo34b2o2bo4bo10bo47b2o2bo4bo4b2o7bobo39bobo5bo2bo2bo47bo2bo2bo34bo2b
o2bo45bo2bo2bo41bo2bo2bo43bo2bo2bo49bo2bo2bo49bo2bo2bo7bo70bo2bo2bo76b
o13bo2bo2bo56bo2bo2bo6bo39bo2bo2bo14b3o124bo2bo2bo6b2o100bo2bo2bo90bo
2bo2bo86bo2bo2bo47bo2bo2bo41bo2bo2bo63bo2bo2bo60bo2bo2bo79bo2bo2bo64b
o2bo2bo38bo4bo2bo2bo38b3o3bo4bo2bo2bo56b2o2bo4bo2bo2bo77b2o2bo4bo2bo2b
o61b2o2bo4bo2bo2bo38bobo2bo2bo53bobo2bo2bo12b2o3bo39bobo2bo2bo55bobo2b
o2bo40bobo10bobo2bo2bo46bo8bobo2bo2bo41bo17bobo2bo2bo40bobo2bo2bo47bo
bo2bo2bo39bobo2bo2bo49bobo2bo2bo60bo6bobo2bo2bo81bo6bobo2bo2bo100bo6b
obo2bo2bo59bo7bo2bo2bo37bo2bo2bo54bo2bo2bo6b2o34bo2bo2bo6b2o39bo2bo2b
o6b2o81bo2bo2bo6b2o75bo2bo2bo6bo2bo64bo2bo2bo47b2o4bo2bo2bo5bo$84bobo
86bo2bobobo33bo2bobobo33bo2bobobo44bo2bobobo40bo2bobobo42bo2bobobo16b
2o42bo2bobobo15b2o40bobo6bobobo49bobobo36bobobo47bobobo43bobobo45bobo
bo51bobobo39bo11bobobo7bo72bobobo77b2o13bobobo58bobobo48bobobo143bobo
bo7bobo100bobobo92bobobo88bobobo49bobobo43bobobo65bobobo62bobobo81bob
obo66bobobo39b2o4bobobo41bo3b2o4bobobo61b2o4bobobo82b2o4bobobo53bo12b
2o4bobobo38b2o2bobobo53b2o2bobobo17bo39b2o2bobobo55b2o2bobobo42b2o9b2o
2bobobo55b2o2bobobo61bobobobo42bobobobo49bobobobo41bobobobo42b2o7bobo
bobo45bo16b3o4bobobobo83b3o4bobobobo102b3o4bobobobo53b3o4bo8bobobo39b
obobo56bobobo6bobo35bobobo6bobo40bobobo6bobo82bobobo6bobo76bobobo6bob
2o66bobobo48bo6bobobo6bobo$85b2o14bo73b2obob2o34b2obob2o34b2obob2o45b
2obob2o41b2obob2o43b2obob2o14b2o45b2obob2o57bo6b2obob2o47b2obob2o34b2o
bob2o45b2obob2o41b2obob2o43b2obob2o49b2obob2o39bo9b2obob2o6b3o69b2obo
b2o75bobo12b2obob2o56b2obob2o46b2obob2o10b3o128b2obob2o6bo101b2obob4o
88b2obob4o84b2obob4o6bo38b2obob4o39b2obob4o61b2obob4o58b2obob4o77b2ob
ob4o4b2o56b2obob4o41b2obob4o37bo9b2obob4o63b2obob4o84b2obob4o51b2o15b
2obob4o38b2obob4o11bobo39b2obob4o14b3o40b2obob4o55b2obob4o53b2obob4o55b
2obob4o59b2obob4o40b2obob4o34b2o11b2obob4o39b2obob4o40b2o7b2obob4o42b
2o17bo5b2obob4o82bo5b2obob4o101bo5b2obob4o52bo4bo5b4obob4o33b4obob4o50b
4obob4o3bo34b4obob4o3bo39b4obob4o3bo81b4obob4o3bo75b4obob4o3bo66b4obo
b4o49b4obob4o3b2o$52bo32bo16b2o3bo5bo4bobo57bo3bo36bo3bo36bo3bo10bo36b
o3bo43bo3bo45bo3bo10bo4bo47bo3bo66bo3bo49bo3bo36bo3bo31bobo13bo3bo43b
o3bo45bo3bo35bobo13bo3bo36b3o12bo3bo80bo3bo81bo10bo3bo58bo3bo5b2o41bo
3bo9bo133bo4bo9b3o97bo5bo74bo15bo5bo86bo5bo4bo42bo5bo41bo5bo63bo5bo60b
o5bo79bo5bo2bo2bo2b2o54bo5bo43bo5bo49bo5bo65bo5bo86bo5bo49b2o19bo5bo40b
o5bo10b2o43bo5bo19bo39bo5bo57bo5bo55bo5bo31b2o24bo5bo61bo5bo42bo5bo32b
2o15bo5bo41bo5bo38bo12bo5bo40bobo26bo5bo90bo5bo109bo5bo50bo10bo5bo5bo
31bo5bo5bo48bo5bo5bob2o33bo5bo5bob2o38bo5bo5bob2o80bo5bo5bob2o74bo5bo
5bob2o65bo5bo5bo47bo5bo5bo$51bobo47b2o3b2o4bobo4b2o3b2o49b3ob3o34b3ob
3o34b3ob3o10b2o33b3ob3o41b3ob3o43b3ob3o10b2o49b3ob3o64b3ob3o47b3ob3o34b
3ob3o33b2o10b3ob3o41b3ob3o43b3ob3o37b2o10b3ob3o49b3ob3o78b3ob3o83b2o5b
3ob3o56b3ob3o5b2o39b3ob3o11bo129b3ob5o9bo84bo11b3ob5o76bo9b5ob5o82b5o
b5o5b3o35b5ob5o37b5ob5o59b5ob5o56b5ob5o75b5ob5o4b2o3b2o41b3o5b5ob5o39b
5ob5o45b5ob5o61b5ob5o82b5ob5o55b2o3b2o4b5ob5o36b5ob5o12bo38b5ob5o18b2o
35b5ob5o53b5ob5o38bo12b5ob5o33b2o18b5ob5o57b5ob5o38b5ob5o35bo9b5ob5o37b
5ob5o47b5ob5o65b5ob5o86b5ob5o105b5ob5o61bob5ob5o31bob5ob5o9bo38bob5ob
5o36bob5ob5o41bob5ob5o83bob5ob5o77bob5ob5o68bob5ob5obo45bob5ob5obo$42b
2o8bo53bobo4bo5bo3b2o16bo32bo3bo36bo3bo36bo3bo13bobo31bo3bo43bo3bo45b
o3bo13bobo47bo3bo12b3o51bo3bo49bo3bo36bo3bo36bo10bo3bo43bo3bo45bo3bo35b
o4bo10bo3bo51bo3bo80bo3bo85b2o5bo3bo58bo3bo10bo37bo3bo143bo3bo15bo84b
o9bo3bo79b3o9bo4bo86bo5bo47bo5bo41bo5bo63bo5bo60bo5bo79bo5bo19b2o38bo
4bo5bo43bo5bo49bo5bo65bo5bo86bo5bo60b2o2bo2bo2bo5bo40bo5bo55bo5bo24b2o
33bo5bo57bo5bo43b2o10bo5bo37bo19bo5bo61bo5bo42bo5bo49bo5bo38b2obo5bo48b
2obo5bo66b2obo5bo87b2obo5bo106b2obo5bo67bo5bo37bo5bo15b2o37bo5bo42bo5b
o12bo34bo5bo26bobo60bo5bo83bo5bo74bo5bo5bo10bo36bo5bo5bo$42b2o81bo14b
2o33b2obob2o34b2obob2o34b2obob2o45b2obob2o41b2obob2o43b2obob2o52b3o6b
2obob2o9bo54b2obob2o47b2obob2o34b2obob2o45b2obob2o41b2obob2o43b2obob2o
33b2o14b2obob2o49b2obob2o78b2obob2o6bo83b2obob2o56b2obob2o12bobo31b2o
bob2o141b2obob2o95b3o10b2obob2o83bo6b2obob2o84b4obob2o45b4obob2o39b4o
bob2o9bo51b4obob2o58b4obob2o77b4obob2o15b2o38bo6b4obob2o41b4obob2o47b
4obob2o63b4obob2o84b4obob2o62b2o4b4obob2o38b4obob2o53b4obob2o57b4obob
2o55b4obob2o39bobo11b4obob2o38b3o14b4obob2o59b4obob2o40b4obob2o47b4ob
ob2o35bo3b4obob2o45bo3b4obob2o63bo3b4obob2o84bo3b4obob2o103bo3b4obob2o
65b4obob2o35b4obob2o11b2o39b4obob2o40b4obob2o7b2o36b4obob2o5bo17b2o62b
4obob2o5bo75b4obob2o5bo66b4obob4o5bo4bo33b2o3b4obob4o$140bobo33bobobo
2bo33bobobo2bo33bobobo2bo44bobobo2bo40bobobo2bo42bobobo2bo52bo7bobobo
2bo8bo54bobobo2bo46bobobo2bo33bobobo2bo44bobobo2bo40bobobo2bo42bobobo
2bo30b2o16bobobo2bo31b2o15bobobo2bo77bobobo6bobo83bobobo58bobobo13b2o
33bobobo143bobobo110bobobo82bobo7bobobo88bobobo49bobobo4b2o37bobobo4b
2o3bo55bobobo4b2o56bobobo4b2o75bobobo4b2o12bo47bobobo2b2o41bobobo2b2o
47bobobo2b2o63bobobo2b2o84bobobo2b2o68bobobo2b2o38bobobo2b2o9b2o42bob
obo2b2o57bobobobo57bobobobo55bobobobo39bo17bobobobo61bobobobo42bobobo
bo49bobobobo32bobo6bobobobo42bobo6bobobobo60bobo6bobobobo81bobo6bobob
obo99b2obo6bobobobo67bobobobo37bobobobo54bobobobo42bobobobo7b2o38bobo
bobo4b3o16bo65bobobobo4b3o76bobobobo4b3o67bobobo8bo4b3o30bobo6bobobo6b
o$174bo4bo2b2o31bo4bo2b2o31bo4bo2b2o42bo4bo2b2o38bo4bo2b2o40bo4bo2b2o
51bo6bo4bo2b2o61bo4bo2b2o44bo4bo2b2o31bo4bo2b2o42bo4bo2b2o38bo4bo2b2o
34bo5bo4bo2b2o35bo10bo4bo2b2o30bobo7b2o4bo4bo2b2o76bo2bo2bo5bobo75bo6b
o2bo2bo56bo2bo2bo13bo32bo2bo2bo141bo2bo2bo91b3o14bo2bo2bo82b2o6bo2bo2b
o86bo2bo2bo47bo2bo2bo4bo36bo2bo2bo4bo3b3o52bo2bo2bo4bo2b2o51bo2bo2bo4b
o2b2o70bo2bo2bo4bo2b2o55bo2bo2bobo41bo2bo2bobo47bo2bo2bobo63bo2bo2bob
o84bo2bo2bobo68bo2bo2bobo38bo2bo2bobo10bobo40bo2bo2bobo8bo48bo2bo2bob
o55bo2bo2bobo53bo2bo2bobo37bo3b2o12bo2bo2bobo59bo2bo2bobo40bo2bo2bobo
47bo2bo2bobo31b2o6bo2bo2bobo41b2o6bo2bo2bobo59b2o6bo2bo2bobo80b2o6bo2b
o2bobo97bo2bo6bo2bo2bobo65bo2bo2bobo35bo2bo2bobo52bo2bo2bobo40bo2bo2b
obo45bo2bo2bobo6bo80bo2bo2bobo6bo74bo2bo2bobo6bo65bo2bo2bo7bo39bo5bo2b
o2bo4b2o$obo41bo69bo14b2o43b2o39b2o39b2o50b2o46b2o48b2o66b2o69b2o52b2o
39b2o50b2o46b2o43bo4b2o44b2o8b2o40bo7bo5b2o84b2o2b2o7bo75b2o6b2o2b2o57b
2o2b2o47bobobobo141bobobobo93bo14bobobobo90bobobobo86bobobobo4bobo40b
obobobo3bo37bobobobo3bo59bobobobo3bo3b2o51bobobobo3bo3b2o70bobobobo3b
o3b2o55bobobobobo41bobobobobo47bobobobobo63bobobobobo84bobobobobo68bo
bobobobo38bobobobobo10bo42bobobobobo6b3o9bo38bobobobo2bo54bobobobo2bo
4bo47bobobobo2bo41b2o11bobobobo2bo58bobobobo2bo39bobobobo2bo46bobobob
o2bo38bobobobo2bo48bobobobo2bo66bobobobo2bo87bobobobo2bo95bo2bo7bobob
obo2bo64bobobobo2bo34bobobobo2bo6b2o43bobobobo2bo39bobobobo2bo44bobob
obo2bo4b2o80bobobobo2bo4b2o74bobobobo2bo4b2o65bobobobo53bobobobo4bobo
$b2o40bobo66b2o16b2o609bo41b3o5bo43b2o4b2o4bo50bo4bo173bobo122b2ob2o143b
2ob2o93bo16b2ob2o92b2ob2o88b2ob2o5b2o42b2ob2o3bo39b2ob2o3bo61b2ob2o3b
o58b2ob2o3bo77b2ob2o3bo62b2ob2o2bob2o39b2ob2o2bob2o45b2ob2o2bob2o61b2o
b2o2bob2o82b2ob2o2bob2o66b2ob2o2bob2o36b2ob2o2bob2o51b2ob2o2bob2o2bo11b
o40b2ob2o2b2o55b2ob2o2b2o3bo49b2ob2o2b2o40bo14b2ob2o2b2o59b2ob2o2b2o40b
2ob2o2b2o47b2ob2o2b2o39b2ob2o2b2o49b2ob2o2b2o67b2ob2o2b2o88b2ob2o2b2o
96b2o9b2ob2o2b2o65b2ob2o2b2o35b2ob2o2b2o7b2o43b2ob2o2b2o40b2ob2o2b2o7b
2o36b2ob2o2b2o19b2o66b2ob2o2b2o4bo76b2ob2o2b2o4bo67b2ob2o4b3o3b3o42b2o
b2o$bo3bobo34bo2bo67b2o14bo510b2o50b2o38b3o5bo49bo50b2o3bo50b2o3bo15b
2o535b2o209bo5b3o41bo48b2o7b3o58b2o65b2o84b2o68bo2bo46bo2bo52bo2bo68b
o2bo89bo2bo73bo2bo43bo2bo58bo2bo2b2o10b3o114b3o430b2o380bo110bobo64b2o
79bo89bo13bo$5b2o36b2o556b2o37bobo49b2o40bo2bobo49bo55bo55bo16bobo535b
2o95bo118bo43b2o56bo284b2o48b2o54b2o70b2o91b2o75b2o45b2o6b2o52b2o79bo
323b2o161b2o481b2o7bo44b2o19bo74b2o4b2o82b2o4b2o7b3o2b2o65bo42b2o9b2o
$6bo31b3o99bo459b2o39bo91bo3b2o42b2o5bo55bo46bobo6bo17bo536bo97b2o118b
o101bo126b2o84b2o394bo76b2o36bo84bo12bo50bo271bobo160bo122b3o358b2o52b
2o94b2o88b2o15bo2bobo64bo43b2o3b2o2b2o$112bo26b2o461bo86bo90bobo4bo48b
3o4bo48b2o5bo5b2o87bo557bobo112b2o168b2o63bobo83bobo393b2o77bo36bo82b
obo11bo49bobo272bo274b2o7bo313bo133bo168bo70bo42bo5bobo3bo$45b2o65b2o
25bobo548b2o41bo48bo3bo51bo3bo49bo5bo7b2o86b2o670b2o53b2o113b2o65bo85b
o393bobo72b2o38b3o83b2o62b2o546bobo8bo310b2o133b2o288bo$44b2o65bobo525b
3o47b2o42b2o51b2o49bo4b2o54b2o5bo7b2o78bobo672bo42b3o6b2o116bo163b2o288b
o164bobo69b3o67b2o597bo271b2o47b2o132bobo$46bo592bo92bobo3b2o172b2o249b
2o548bo8bo279bobo287b2o22b3o140bo69bo69bobo867b2o425b2o$640bo97bobo173b
o221bo26bobo496bo49bo4b2o283bo288bobo22bo205b3o5bo68bo710b2o23b2o134b
o424b2o$690b2o46bo397b2o25bo498b2o52bobo598bo185bo18bo786bobo22b2o183b
2o$106bobo580bobo204bo7b2o229bobo3bo425bo93bobo54bo784b2o2b3o8b2o3bo5b
o5b2o774bo24bo182bobo$107b2o582bo41b2o161b2o7b2o234b2o423b2o761bo172b
obo4bo7bobo8b2o5bobo981bo$107bo624bobo160bobo6bo235bobo423bobo411b2o346b
2o178bo10bo8bobo4bo1284b2o$734bo1244bobo346bobo1489bobo$1981bo1810b3o
18b2o5bo$897b3o256b2o2636bo17b2o$897bo241bo15b2o2636bo20bo$898bo240b2o
16bo$1138bobo2$102b2o$103b2o5b2o$102bo8b2o$110bo3$909b3o2590b3o$909bo
2594bo$910bo2592bo!
I am tentatively considering myself back.

User avatar
wwei47
Posts: 1651
Joined: February 18th, 2021, 11:18 am

Re: Synthesising Oscillators

Post by wwei47 » November 6th, 2021, 10:21 am

MathAndCode wrote:
November 6th, 2021, 2:04 am
I improved the synthesis of the circle of fire.
Brilliant! Can you show the improved steps only? I don't know which ones were improved, other than the mango with tail part.
2G shaved off of star-based MW volcano synthesis:

Code: Select all

x = 71, y = 58, rule = B3/S23
13bo$11bobo$12b2o2$41bo$41bobo$41b2o$55bobo$55b2o$16bo39bo$14bobo$15b
2o$51bobo$51b2o$15bobo27bo6bo$16b2o25b2o25bo$4bobo9bo27b2o22b2o$5b2o20b
2o40b2o$5bo21b2o9$22b2o$22bobo30bo$23b2o28b2o$54b2o2$21b2o34b2o$21bob
o11bo21bobo$22b2o3b2o5bobo20bo$2o25bo6b2o$b2o26bo$o27b2o$14b3o16b2o$32b
o2bo$12bobobobo9b2obob2o$27bo2b2obo$10bobo5bobo3b2o2bo4bo$10bo9bo2bo2b
2ob4o3bo$10bobo5bobo3b2o2bo4b4o$27bo2b2o$12bobobobo9b2obob2o$29bobobo
$14b3o12bobobo$30bobo$31bo5$55b2o$55bobo$55bo!

???

Code: Select all

x = 71, y = 58, rule = B3/S23
13bo$11bobo$12b2o2$41bo$41bobo16bobo$41b2o17b2o$61bo2$16bo$14bobo$15b
2o$51bobo$51b2o$15bobo27bo6bo$16b2o25b2o25bo$4bobo9bo27b2o22b2o$5b2o20b
2o40b2o$5bo21b2o9$22b2o$22bobo30bo$23b2o28b2o$54b2o2$21b2o34b2o$21bob
o11bo21bobo$22b2o3b2o5bobo20bo$2o25bo6b2o$b2o26bo$o27b2o$14b3o16b2o$32b
o2bo$12bobobobo9b2obob2o$27bo2b2obo$10bobo5bobo3b2o2bo4bo$10bo9bo2bo2b
2ob4o3bo$10bobo5bobo3b2o2bo4b4o$27bo2b2o$12bobobobo9b2obob2o$29bobobo
$14b3o12bobobo$30bobo$31bo5$55b2o$55bobo$55bo!

Help me find high-period c/2 technology!
My guide: https://bit.ly/3uJtzu9
My c/2 tech collection: https://bit.ly/3qUJg0u
Overview of periods: https://bit.ly/3LwE0I5
Most wanted periods: 76,116

MathAndCode
Posts: 5141
Joined: August 31st, 2020, 5:58 pm

Re: Synthesising Oscillators

Post by MathAndCode » November 6th, 2021, 3:36 pm

wwei47 wrote:
November 6th, 2021, 10:21 am
Can you show the improved steps only? I don't know which ones were improved, other than the mango with tail part.
Just look at the parts that are spaced unusually far apart.
I am tentatively considering myself back.

User avatar
wwei47
Posts: 1651
Joined: February 18th, 2021, 11:18 am

Re: Synthesising Oscillators

Post by wwei47 » November 8th, 2021, 10:08 am

I think this is -67G on the star-based MW volcano synthesis:

Code: Select all

x = 38, y = 35, rule = B3/S23
20bo$18bobo$19b2o$28bo$28bobo$28b2o6$25bo$24bobo$24b2o2$6bo14b2o$6bo13b
o2bo3b2o$4b2ob2o11bobo2bo2bo$19b2obob4o$2bobo3bobo7bo2b2o$2bo7bo4b2o2b
o4b2o9bo$2o9b2obo2b2ob4o2bo8bobo$2bo7bo4b2o2bo4b2o9b2o$2bobo3bobo7bo2b
2o$19b2obob2o$4b2ob2o11bobobo$6bo13bobo2bo6b3o$6bo14bo2b2o6bo$33bo4$25b
2o$24bobo$26bo!
EDIT: For clarity: It took me 76 gliders to get to the tub version of this from the above still life, which was the cheapest way I knew of. This does it in nine.
Edit 2: 54P17.1 final step:

Code: Select all

x = 36, y = 39, rule = B3/S23
22bo$21bobo$21bobo3b2o$18b2obob2o3bo$19bobo6bob2o$17bo2bob5obo2bo$17b
2obobo4bobo$18bobobo2b2o2b2o$16bobob2o4bobo$16b2obo4bobobo$19bo3bobob
o$14b3obo4bobo$13bo2bobobo3b2o$12bobo4b2o$13bo10$2o$b2o10b2o$o11bobo19b
2o$14bo18b2o$35bo2$24b3o$24bo$25bo4$34b2o$33b2o$35bo!
Edit 3: If we could do something like this directly it would be simpler.

Code: Select all

x = 15, y = 15, rule = B3/S23
5bo$4bobo$4bobo3b2o$b2obob2o3bo$2bobo6bob2o$o2bob5obo2bo$2obobo4bobo$
3bobo2b2o2b2o$3b2o4bobo$7bobobo$b3o2bobobo$o2bo2bobo$3bo3b2o$3bo$3bo!
Edit 4: 2 more gliders off of the star-based MW volcano synthesis:

Code: Select all

x = 16, y = 18, rule = B3/S23
6bo$6b3o$9bo$8b2o$2o2b2o$2o2b2o2$13bobo$13b2o$14bo2$b3o5b2o$3bo4b2o$2b
o7bo2$3b2o$2b2o$4bo!

Help me find high-period c/2 technology!
My guide: https://bit.ly/3uJtzu9
My c/2 tech collection: https://bit.ly/3qUJg0u
Overview of periods: https://bit.ly/3LwE0I5
Most wanted periods: 76,116

mattiward
Posts: 36
Joined: February 8th, 2018, 3:19 am

Re: Synthesising Oscillators

Post by mattiward » November 10th, 2021, 4:10 pm

New simpler version of P120 pi heptomino hassler from 32G:

Code: Select all

x = 269, y = 194, rule = B3/S23
142bo$142bobo$127bobo12b2o$128b2o$128bo$157bo$156bo$156b3o2$117bo11bob
o$118b2o9b2o$117b2o11bo2$131b3o$131bo$107bo24bo$105bobo$106b2o44bo9bob
o$151b2o9b2o$151bobo9bo$119bo$117b2o$118b2o27b2o$146b2o$148bo$122bobo$
122b2o$123bo47bo$169b2o$101bo61b2o5b2o$102bo59b2o$100b3o56b2o3bo$158bo
bo$160bo7$113bo$113bobo$109bo3b2o56b3o$110b2o59bo$102b2o5b2o61bo$103b
2o$102bo47bo$150b2o$149bobo$125bo$126b2o$125b2o27b2o$155b2o$154bo$110b
o9bobo$110b2o9b2o$109bobo9bo44b2o$166bobo$141bo24bo$142bo$140b3o2$143b
o11b2o$143b2o9b2o$142bobo11bo2$115b3o$117bo$116bo$145bo$144b2o$130b2o
12bobo$129bobo$131bo47$42bo$42bobo$27bobo12b2o$28b2o$28bo$140bo99b2o$
140b2o$139b2obo96bo3bo$138bo2b3o94bo4bo$29bobo95bo9bobobo85bo9bobobo$
29b2o96b3o6bobobo86b3o6bobobo$30bo99bo3b3o2bo90bo3bo4bo$129b2o4bob2o
90b2o3bo3bo$31b3o102b2o$31bo105bo98b2o$32bo2$52bo$51b2o$51bobo$19bo$
17b2o$18b2o27b2o$46b2o$48bo89bo$22bobo113bobo95bo$22b2o114b2o95bobo$
23bo47bo91b2o69b2ob2o24b2o$69b2o64bobo25bo99bo$bo61b2o5b2o64b2o23bobo
97bobo$2bo59b2o44bo27bo24b2o44b2o52b2o$3o56b2o3bo42b2o$58bobo45bob2o
95bo3bo$60bo44b3o2bo14bo79bo4bo$107bobobo14bo35bo44bobobo34bo14b2o$
108bobobo11b3o18bo15b2o45bobobo14bo18b2o$109bo2b3o13b2o13b2o15bob2o45b
o4bo11b2o20bo10bo3bo$110b2obo15b2o13b2o13b3o2bo45bo3bo10bo20b2o11bo4bo
$111b2o15bo18b3o11bobobo60b2o18bo14bobobo$111bo35bo14bobobo44b2o14bo
34bobobo$13bo134bo14bo2b3o94bo4bo$13bobo148b2obo96bo3bo$9bo3b2o56b3o
91b2o$10b2o59bo39b2o24bo27bo45b2o52b2o$2b2o5b2o61bo37bobo23b2o72bobo$
3b2o105bo25bobo71bo$2bo47bo58b2o98b2o24b2ob2o$50b2o82b2o100bobo$49bobo
81bobo101bo$25bo109bo$26b2o$25b2o27b2o$55b2o$54bo$20bobo$21b2o$21bo2$
41bo$42bo93bo99b2o$40b3o93b2o$135b2obo4b2o90bo3bo3b2o$43bo90bo2b3o3bo
90bo4bo3bo$43b2o88bobobo6b3o86bobobo6b3o$42bobo87bobobo9bo85bobobo9bo$
130b3o2bo94bo4bo$131bob2o95bo3bo$132b2o$133bo98b2o$45bo$44b2o$30b2o12b
obo$29bobo$31bo!

mattiward
Posts: 36
Joined: February 8th, 2018, 3:19 am

Re: Synthesising Oscillators

Post by mattiward » November 10th, 2021, 4:20 pm

(xp44_y365la8ceeeec8al56zy5hhy411zy511zccy7om6moy7cczy9gg0ggz33y716661y733zy5oozy5o8y48ozy36aa5137777315aa6) from 63 gliders:

Code: Select all

x = 1669, y = 284, rule = B3/S23
742bo$740bobo$741b2o5$751bo174bo$752b2o171bo$733bo17b2o172b3o$731bobo$
732b2o$914bo$914bobo$914b2o19bo$935bobo$935b2o$748bobo13bo$749b2o11bob
o$749bo13b2o3$905bobo$905b2o$906bo14$779bo$780b2o$779b2o2$749bo$750b2o
$749b2o$784bobo$785b2o138bo$785bo139bobo$772bo152b2o$770bobo18bo$771b
2o19b2o123bobo$791b2o124b2o$918bo$755bobo$756b2o35bo$756bo34bobo$792b
2o$909bo$909bobo$874bobo32b2o$874b2o$875bo25bo$899b2o$872bo27b2o$871bo
$871b3o$764bobo130bo$765b2o130bobo$765bo49bo81b2o$816b2o$773bo41b2o$
771bobo$772b2o3$881bobo$881b2o$882bo12$829bobo$829b2o$830bo9$840bobo$
841b2o$841bo27bo$868bo$868b3o4$856bo$854bobo$855b2o$859bo$857b2o$858b
2o$855bo$855b2o$802b2o50bobo$803b2o$802bo$829b2o$829bobo$829bo4$791b3o
$793bo$792bo51bo$843b2o$843bobo4$888b2o$888bobo$888bo2$895b2o$894b2o$
813b2o81bo$812bobo$814bo3$810b2o$811b2o$810bo6$779bo$779b2o125b3o$778b
obo125bo$907bo4$870bo$869b2o$869bobo$762b3o$764bo118bo$763bo118b2o31bo
$882bobo14b2o13b2o$760bo137b2o14bobo$760b2o138bo$753b2o4bobo121b2o$
754b2o127bobo$753bo129bo4$746b2o38bo$747b2o37b2o$746bo38bobo12$728b2o$
727bobo177bo$729bo176b2o$906bobo4$911b2o$910b2o$912bo18b2o$930b2o$917b
o6b2o6bo$760b3o153b2o6bobo$762bo153bobo5bo$761bo2$736bo200bo$736b2o
198b2o$735bobo198bobo$750b2o$751b2o$750bo26$1367bo$1365bobo$1366b2o5$
1376bo4bo$1377b2obo$1376b2o2b3o79b2o6b2o80b2o6b2o80b2o6b2o$316bobo
1143b2o6b2o80b2o6b2o80b2o6b2o$316b2o$317bo$1211bo60bo$314bo895bo62bo$o
bo310bo896b3o58b3o$b2o84bobo86b2o88b2o45b3o50b2o38b2o48b2o38b2o48b2o
38b2o48b2o38b2o48b2o38b2o48b2o38b2o48b2o38b2o48b2o38b2o48b2o38b2o48b2o
30bo7b2o48b2o7bo30b2o48b2o38b2o48b2o38b2o48b2o38b2o48b2o38b2o$bo27bo
57b2o86bobo36bobo48bobo30bobo64bobo38bo48bobo38bo48bobo38bobo46bobo38b
obo46bobo38bobo46bobo26bo11bobo46bobo7bo30bobo46bobo38bobo46bobo38bobo
46bobo31bo6bobo46bobo6bo31bobo46bobo38bobo46bobo38bobo46bobo38bobo46bo
bo38bobo$28bo59bo86bobob2o33b2o49bobob2o28b2o11bo52bobob2o32b2obobo46b
obob2o32b2obobo4bo41bobob2o23bobo6b2obobo46bobob2o32b2obobo46bobob2o
32b2obobo46bobob2o24bo7b2obobo46bobob2o4bobo25b2obobo46bobob2o32b2obob
o46bobob2o32b2obobo46bobob2o26b3o3b2obobo46bobob2o3b3o21b2o3b2obobo46b
obob2o3b2o22b2o3b2obobo46bobob2o3b2o22b2o3b2obobo46bobob2o3b2o22b2o3b
2obobo46bobob2o3b2o22b2o3b2obobo$28b3o53b2o90bobobo34bo50bobobo28bo11b
2o53bobobo32bobob2o47bobobo32bobob2o4bobo40bobobo24b2o6bobobo48bobobo
5bobo24bobobo48bobobo32bobobo48bobobo22b3o7bobobo48bobobo4b2o26bobobo
48bobobo32bobobo48bobobo32bobobo48bobobo32bobobo48bobobo27b2o3bobobo
48bobobo3b2o22b2o3bobobo48bobobo3b2o22b2o3bobobo48bobobo3b2o22b2o3bobo
bo48bobobo3b2o22b2o3bobobo$85b2o91bo89bo42bobo54bo36bo52bo9bobo24bo7b
2o43bo26bo9bo52bo8b2o26bo6bo45bo36bo52bo36bo52bo36bo52bo36bo52bo36bo
52bo36bo52bo36bo52bo36bo52bo36bo52bo36bo52bo36bo$84bo38b2o52b2o34b2o6b
2o44b2o27b3o68b2o35b2o52b2o8b2o24b2o52b2o34b2o52b2o7bo26b2o5bo46b2o27b
o6b2o48bo3b2o26b2o6b2o52b2o34b2o52b2o34b2o51b2o36b2o50bo2bo32bo2bo50bo
2bo32bo2bo49bo2bo34bo2bo50b2o19bo14b2o50bo2bo34bo2bo49bo2bo32bo2bo$87b
2o34b2o88b2o6bobo74bo170bo30b3o73bo104b3o48b2o21bobo10bo6bo39bo6b2o22b
2o5b3o49bo6b2o29b3o52b3o32b3o50b3o36b3o49bo38bo50bo38bo52bo34bo53b3o
16bobo13b3o53bo12b2o6b2o12bo52bo15b2o4b2o15bo$16bo70bobo131bo75bo202bo
76bo54bo13b3o21b2o59bo2bo21b2o2b2o5bobo3b2o38b3o5bo2bo28b3o42b2o4bobo
4bo2bo28b3o52b3o32b3o50b3o36b3o49bo3bo30bo3bo50bo3bo30bo3bo48bo3bo34bo
3bo49b3o17b2ob3o9b3o49bo3bo11bo2bo4bo2bo11bo3bo48bo3bo10bobo4bobo10bo
3bo$14bobo70bo274bo103bo34bo73b3o55bo12bo22bo2bo5b3o51b2o25bo2bo4bobo
4b2o46b2o29b3o43b2o3bobo5b2o2b2o25b3o52b3o32b3o50b3o36b3o49bo3bo30bo3b
o50bo3bo30bo3bo48bo3bo34bo3bo49b3o20bo11b3o49bo3bo11bo2bo4bo2bo11bo3bo
48bo3bo9b2o8b2o9bo3bo$15b2o162b2o88b2o23bo65bobo6b2o94bo165b3o13bo22b
2o6bo81b2o6bo41b3o40b3o42bo6bo10bobo24b3o52b3o5b2o25b3o50b3o36b3o49bo
38bo50bo38bo52bo34bo53b3o14b2o5bo10b3o53bo11bo2bo4bo2bo11bo52bo14bobo
4bobo14bo$19bo105b2o52b2o34b2o52b2o23b2o8b2o55b2o6b2o33b2o59b3o26b2o
52b2o26bo7b2o52b2o34b2o3bo48b2o34b2o46bo5b2o34b2o52b2o6bo27b2o52b2o6b
2o26b2o51b2o36b2o50bo2bo32bo2bo50bo2bo32bo2bo49bo2bo34bo2bo50b2o14b2o
18b2o50bo2bo9bo2b2o6b2o2bo9bo2bo49bo2bo12b2o4b2o12bo2bo$17b2o106bo89bo
77bobo9bo99bo44bobo42bo52bo26b2o8bo43b2o7bo9bo26bo52bo36bo45bo6bo36bo
52bo36bo52bo36bo52bo36bo52bo36bo52bo36bo52bo36bo52bo17bo18bo52bo10b2o
12b2o10bo52bo36bo$18b2o53b3o47bobobo85bobobo85bobobo60bo34bobobo43b2o
11bo28bobobo47b2obobo24bobo5bobobo40bobo4b2obobo6b2o24bobobo48bobobo
26b2o4bobobo48bobobo32bobobo48bobobo32bobobo48bobobo7b3o22bobobo48bobo
bo32bobobo48bobobo32bobobo48bobobo32bobobo48bobobo32bobobo48bobobo32bo
bobo48bobobo7bobo12bobo7bobobo48bobobo32bobobo$15bo59bo47b2obobo84b2ob
obo84b2obobo59b2o33b2obobo42bo11b2o28b2obobo46bobob2o32b2obobo41bo4bob
ob2o6bobo23b2obobo46bobob2o25bobo4b2obobo46bobob2o32b2obobo46bobob2o
32b2obobo46bobob2o7bo24b2obobo46bobob2o32b2obobo46bobob2o32b2obobo46bo
bob2o32b2obobo46bobob2o32b2obobo46bobob2o32b2obobo46bobob2o32b2obobo
46bobob2o32b2obobo$15b2o57bo27bo23bobo87bobo87bobo58bobo36bobo54bobo
30bobo48bo38bobo48bo38bobo46bobo30bo7bobo46bobo38bobo46bobo38bobo46bob
o11bo26bobo46bobo38bobo46bobo38bobo46bobo38bobo46bobo38bobo46bobo38bob
o46bobo38bobo46bobo38bobo$14bobo84b2o23b2o88b2o88b2o98b2o40b3o45b2o48b
2o38b2o48b2o38b2o48b2o38b2o48b2o38b2o48b2o38b2o48b2o38b2o48b2o38b2o48b
2o38b2o48b2o38b2o48b2o38b2o48b2o38b2o48b2o38b2o48b2o38b2o$101bobo346bo
$449bo2$446bo$446b2o$445bobo$1192b2o6b2o80b2o6b2o80b2o6b2o80b2o6b2o80b
2o6b2o80b2o6b2o$1106b2o2b3o79b2o6b2o80b2o6b2o80b2o6b2o80b2o6b2o80b2o6b
2o80b2o6b2o$1107b2obo$1106bo4bo5$1096b2o$1095bobo$1097bo!
Also, hybrid of (xp44_y365la8ceeeec8al56zy5hhy411zy511zccy7om6moy7cczy9gg0ggz33y716661y733zy5oozy5o8y48ozy36aa5137777315aa6) and (xp44_y365la8ceeeec8al56zy511y411zzccy7si1isy7cczy9gg0ggz33y734843y733zzy5o8y48ozy36aa5137777315aa6) from 61 gliders:

Code: Select all

x = 1489, y = 274, rule = B3/S23
661bo$662b2o$661b2o5$672bo$673bo151bobo$652bo18b3o151b2o$653b2o171bo$
652b2o$815bo$813b2o$814b2o3$670bo$668bobo$669b2o3$805bo$805bobo$805b2o
4$689bo$690b2o$689b2o2$659bo$660b2o$659b2o$694bobo$695b2o138bo$695bo
139bobo$682bo152b2o$680bobo18bo$681b2o19b2o123bobo$701b2o124b2o$828bo$
665bobo$666b2o35bo$666bo34bobo$702b2o$819bo$819bobo$784bobo32b2o$784b
2o$785bo25bo$809b2o$782bo27b2o$781bo$781b3o$674bobo130bo$675b2o130bobo
$675bo49bo81b2o$726b2o$683bo41b2o$681bobo$682b2o3$791bobo$791b2o$792bo
12$739bobo$739b2o$740bo9$750bobo$751b2o$751bo27bo$778bo$778b3o4$766bo$
764bobo$765b2o$769bo$767b2o$768b2o$765bo$765b2o$712b2o50bobo$713b2o$
712bo$739b2o$739bobo$739bo4$701b3o$703bo$702bo51bo$753b2o$753bobo4$
798b2o$798bobo$798bo2$805b2o$804b2o$723b2o81bo$722bobo$724bo3$720b2o$
721b2o$720bo6$689bo$689b2o125b3o$688bobo125bo$817bo4$780bo$779b2o$779b
obo$672b3o$674bo118bo$673bo118b2o31bo$792bobo14b2o13b2o$670bo137b2o14b
obo$670b2o138bo$663b2o4bobo121b2o$664b2o127bobo$663bo129bo4$656b2o38bo
$657b2o37b2o$656bo38bobo2$648b2o$649b2o155b2o$648bo157bobo$806bo4$810b
3o$810bo$811bo18b3o$830bo$824b2o5bo$823b2o$825bo3$656b2o178b2o$655bobo
178bobo$657bo178bo2$826bo$671b3o151b2o$673bo151bobo$672bo5$661b2o$662b
2o$661bo27$1277bo$1275bobo$1276b2o5$1286bo4bo$1287b2obo$1286b2o2b3o79b
2o6b2o80b2o6b2o$316bobo1053b2o6b2o80b2o6b2o$316b2o$317bo$1182bo$314bo
868bo$obo310bo867b3o$b2o84bobo86b2o88b2o45b3o50b2o38b2o48b2o38b2o48b2o
38b2o48b2o38b2o48b2o38b2o48b2o38b2o48b2o38b2o48b2o38b2o48b2o38b2o48b2o
7bo30b2o48b2o38b2o48b2o38b2o48b2o38b2o$bo27bo57b2o86bobo36bobo48bobo
30bobo64bobo38bo48bobo38bo48bobo38bobo46bobo38bobo46bobo38bobo46bobo
26bo11bobo46bobo7bo30bobo46bobo38bobo46bobo38bobo46bobo6bo31bobo46bobo
38bobo46bobo38bobo46bobo38bobo$28bo59bo86bobob2o33b2o49bobob2o28b2o11b
o52bobob2o32b2obobo46bobob2o32b2obobo4bo41bobob2o23bobo6b2obobo46bobob
2o32b2obobo46bobob2o32b2obobo46bobob2o24bo7b2obobo46bobob2o4bobo25b2ob
obo46bobob2o32b2obobo46bobob2o32b2obobo46bobob2o3b3o26b2obobo46bobob2o
3b2o27b2obobo46bobob2o3b2o27b2obobo46bobob2o3b2o27b2obobo$28b3o53b2o
90bobobo34bo50bobobo28bo11b2o53bobobo32bobob2o47bobobo32bobob2o4bobo
40bobobo24b2o6bobobo48bobobo5bobo24bobobo48bobobo32bobobo48bobobo22b3o
7bobobo48bobobo4b2o26bobobo48bobobo32bobobo48bobobo32bobobo48bobobo32b
obobo48bobobo3b2o27bobobo48bobobo3b2o27bobobo48bobobo3b2o27bobobo$85b
2o91bo89bo42bobo54bo36bo52bo9bobo24bo7b2o43bo26bo9bo52bo8b2o26bo6bo45b
o36bo52bo36bo52bo36bo52bo36bo52bo36bo52bo36bo52bo17b2o17bo52bo36bo52bo
36bo$84bo38b2o52b2o34b2o6b2o44b2o27b3o68b2o35b2o52b2o8b2o24b2o52b2o34b
2o52b2o7bo26b2o5bo46b2o27bo6b2o48bo3b2o26b2o6b2o52b2o34bo2bo50b2o34bo
2bo50b2o19bo14bo2bo49bo2bo33b2o50bo2bo14bo4bo15b2o49bo2bo35b2o50bo2bo
33b2o$87b2o34b2o88b2o6bobo74bo170bo30b3o73bo104b3o48b2o21bobo10bo6bo
39bo6b2o22b2o5b3o49bo6b2o30bo53b3o33bo53b3o16bobo14bo52bo14b2o6b2o11b
3o53bo13bo6bo14b3o51bo12b2o6b2o13b3o49bo15b2o4b2o12b3o$16bo70bobo131bo
75bo202bo76bo54bo13b3o21b2o59bo2bo21b2o2b2o5bobo3b2o38b3o5bo2bo28b3o
42b2o4bobo4bo2bo29bo3bo49b3o33bo3bo49b3o17b2ob3o10bo3bo48bo3bo9bo2bo4b
o2bo10b3o49bo3bo12bo8bo13b3o47bo3bo11bo2bo4bo2bo12b3o49bo3bo10bobo4bob
o11b3o$14bobo70bo274bo103bo34bo73b3o55bo12bo22bo2bo5b3o51b2o25bo2bo4bo
bo4b2o46b2o29b3o43b2o3bobo5b2o2b2o26bo3bo49b3o33bo3bo49b3o20bo12bo3bo
48bo3bo8b6o2b6o9b3o49bo3bo12bo8bo13b3o47bo3bo11bo2bo4bo2bo12b3o49bo3bo
9b2o8b2o10b3o$15b2o162b2o88b2o23bo65bobo6b2o94bo165b3o13bo22b2o6bo81b
2o6bo41b3o40b3o42bo6bo10bobo25bo53b3o5b2o26bo53b3o14b2o5bo11bo52bo13bo
2bo4bo2bo10b3o53bo12bo8bo13b3o51bo11bo2bo4bo2bo12b3o49bo14bobo4bobo11b
3o$19bo105b2o52b2o34b2o52b2o23b2o8b2o55b2o6b2o33b2o59b3o26b2o52b2o26bo
7b2o52b2o34b2o3bo48b2o34b2o46bo5b2o34b2o52b2o6bo27bo2bo50b2o6b2o26bo2b
o50b2o14b2o18bo2bo49bo2bo11b2o6b2o12b2o50bo2bo13bo6bo14b2o49bo2bo9bo2b
2o6b2o2bo10b2o50bo2bo12b2o4b2o13b2o$17b2o106bo89bo77bobo9bo99bo44bobo
42bo52bo26b2o8bo43b2o7bo9bo26bo52bo36bo45bo6bo36bo52bo36bo52bo36bo52bo
17bo18bo52bo36bo52bo15bo4bo15bo52bo10b2o12b2o10bo52bo36bo$18b2o53b3o
47bobobo85bobobo85bobobo60bo34bobobo43b2o11bo28bobobo47b2obobo24bobo5b
obobo40bobo4b2obobo6b2o24bobobo48bobobo26b2o4bobobo48bobobo32bobobo48b
obobo32bobobo48bobobo7b3o22bobobo48bobobo32bobobo48bobobo32bobobo48bob
obo15b2o15bobobo48bobobo7bobo12bobo7bobobo48bobobo32bobobo$15bo59bo47b
2obobo84b2obobo84b2obobo59b2o33b2obobo42bo11b2o28b2obobo46bobob2o32b2o
bobo41bo4bobob2o6bobo23b2obobo46bobob2o25bobo4b2obobo46bobob2o32b2obob
o46bobob2o32b2obobo46bobob2o7bo24b2obobo46bobob2o32b2obobo46bobob2o32b
2obobo46bobob2o32b2obobo46bobob2o32b2obobo46bobob2o32b2obobo$15b2o57bo
27bo23bobo87bobo87bobo58bobo36bobo54bobo30bobo48bo38bobo48bo38bobo46bo
bo30bo7bobo46bobo38bobo46bobo38bobo46bobo11bo26bobo46bobo38bobo46bobo
38bobo46bobo38bobo46bobo38bobo46bobo38bobo$14bobo84b2o23b2o88b2o88b2o
98b2o40b3o45b2o48b2o38b2o48b2o38b2o48b2o38b2o48b2o38b2o48b2o38b2o48b2o
38b2o48b2o38b2o48b2o38b2o48b2o38b2o48b2o38b2o48b2o38b2o$101bobo346bo$
449bo2$446bo$446b2o$445bobo$1372b2o6b2o80b2o6b2o$1286b2o2b3o79b2o6b2o
80b2o6b2o$1287b2obo$1286bo4bo5$1276b2o$1275bobo$1277bo!

Post Reply