Thread for basic questions

For general discussion about Conway's Game of Life.
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dvgrn
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Re: Thread for basic questions

Post by dvgrn » November 14th, 2016, 9:00 pm

Gamedziner wrote:Are there any known guns that produce rakes?
Sure. Here's an old example, maybe the oldest but I'm not sure, from Golly's Patterns/Breeders/p90-rake-factory.rle:

Code: Select all

#C p90 gun for p20 space rake
#C The gun fires a p20 rake every 90 generations. (The smallest period
#C for a p20 rake gun is 86). The rake gun is a stationary breeder.
#C Dieter Leithner, 11 Nov 1994
x = 288, y = 129, rule = B3/S23
164bobo$163bo2bo$133b2o27b2o10bo6bo$133b2o4b3o12b2o4b2o3bo8bo5bobo$
119bo10b2o6b5o11b2o6b2o9bo6b2obo$119bobo7b3o5bo3bobo19bo2bo2b2o9b2ob2o
3b2o$122b2o6b2o6bo3b2o20bobo2bo2b3o5b2obo4b2o$93b2o13b2o12b2o9b2o34b4o
7bobo$67b2o24b2o13b2o12b2o9b2o35b2o9bo$67b2o50bobo$48b2o69bo11bo127bob
o$48b2o79bobo125bo3bo$93bo36b2o31bo93bo19bo$66b3o23b3o66b2o87b2o4bo4bo
14b4o$66b3o22bo3bo34bo31b2o86b2o5bo12bo4b2obobo$65bo3bo20bob3obo33b2o
125bo3bo3bob2o5b3obo2bo2b2o$64bo5bo20b5o33bobo37b3o87bobo2bob4o5b2obob
o3b2o$65bo3bo40b2o26bo30bo94b2o2b2o6b4o$26b2o38b3o41b2o27bo30bo106bo$
26b2o109b3o$110bo$109bobo49b2o115b2o$46b5o41bo2b2o12bobo10b2o36bobo
115bobo$26bo18bob3obo15bobo22bobo15bo12b2o10b2o23bo16b2o100b3o$25bobo
18bo3bo15bo2bo21b2o29bo12bobo21b2o8b2o6bobo100b2o$24bo3bo18b3o14bob2o
22b2o45bo31b2o6bo11bo90b2o$25b3o20bo41b2obo13b2obob2o13b2o8b2o48bobo
88bobo$23b2o3b2o37bo23b3o13bo5bo13b2o28bo16b2o9b2o92bo$64b2obo40bo3bo
42b3o16b2o9b2o12b2o$66bo42b3o3bo23b2o13bo10b2o3bo6b2o6b2o12b2o44b2o$
46bo45b2o3b2o16b2o22bo14b2o9bobo3bo5b3o7bobo55bo30b2o3b2o$46bo13b2o33b
o18bobo9b2o9bobo26b5o6b2o10bo47bo5bobo11b2o17b2o3b2o$24bo20bobo5bo6b2o
4b2o3b2o19bo5bo25bo3bo8b2o28b3o4b2o25b2o33bobo4b2o11bobo$24bo19b2ob2o
2bobo13b5o12bobo6b2ob2o25bo5bo44b2o24bo2bo32b2obo16bo15b3o3b3o$24bob3o
14bo5bo2b2o13b2ob2o12b2o8bobo21b2o2b2obo3bo70bo23b2o10b2ob2o14b2o8b2o
5bo5b3o$46bo20b2ob2o13bo9bo22b2o3bo5bo9bobo10bo47bo23b2o10b2obo25b2o6b
o5bo$29bo13b2o3b2o18b3o24bo28bo3bo10b2o10b3o46bobo33bobo$26bob2o82bo
13b2o12bo10b3o46bobo34bo$26b2o70bo13bo88bo40bobo$45bo51bobo11bobo35b2o
3b2o86b2o$45bo32bo5b3o10bobo10b2ob2o34b2o3b2o80bo6bo$21b2o3b2o16bo31b
2o6bo13bo10bo5bo24bo57b2o3b2o31bobo37b3o$21b2o3b2o40b2o7b2o6bo26bo25b
2o58bo5bo31b2o38b3o$22b5o7bo33b2o39b2o3b2o23b2o134bo3bo$23bobo9bo10b2o
47b2o3b2o24bo60bo11bo3bo$33b3o10b2o47bobobobo23bo60bobo11b3o41bo29b2o
3b2o$23b3o70b5o10bo13b3o26b2o13b2o15b2obo54b3o$68bo9b2o12b2o3b3o11bo
28bo13bo14bobo14b2ob2o3b2o51bo$66bobo8bobo12bobo3bo11bo29b3o7bo4b3o2b
2o2b2o6bo13b2obo4b2o50b2o$67b2o8bo14bo50bo5b2o6bo2b2obo2bo2bo2bo13bobo
$58bo17b2o8b2o54b2o5bobo12b2o6bo8bo5bo$58b3o25b2o24b2o55bobo7bobo$24b
2o6b2o27bo50b2o55b2o9b2o16bo$24b2o6b2o26b2o136bobo59b2o$8b2o65bo122b2o
59b2o$9bo66bo166b2o16bo14b2o$9bobo5bo8bo2bo44b3o18b3o50b2o7b2o44bo39b
2o31b2o$10b2o4bobo10bo64b2ob2o19bo20b2o6bobo6b2o30bo13b3o81b2o$14b2o3b
o5b2o3bo2bo15bo44b2ob2o17b2o21b2o8bo8bo30bo11b5o80bo$5b2o7b2o3bo4bobob
2o3b4o13bo11b3o29b5o18b2o68b3o10b2o3b2o61b2o9bo4bobo$5b2o7b2o3bo14b4o
10b3o10bo3bo27b2o3b2o101b5o15bo45b4o7bobo3b2o$16bobo5b2o8bo2bo5b2o127b
o28bo3bo13b2o24b3o14bobo2bo2b3o5b2obo$17bo16b4o5b2o15bo5bo98b2obo3b4o
26bobo9bo5b2o12bo12bo13bo2bo2b2o9b2ob2o$33b4o23b2o3b2o92b2o2b2obobo4b
4o26bo9bo15bo4b4o8bo13b2o9bo6b2obo$33bo42bo39bobo10b2o9b3o15bobo2b2obo
b2o3bo2bo36b3o13bo5b4o10b2o7b2o3bo8bo5bobo$5bo14b2o23b2o27bobo20b2o17b
2o11bo2bo9bo14b3o8b2o3b4o19bo27b2o9bo2bo9bobo9b2o10bo6bo$5bo15bo22bobo
10bo17b2o40bo3b5o7bo7bo5bo8b3o8b2o3b4o4b2o12bobo6b2o19b2o9b4o8b3o4b2o
5bo2bo$4bobo14bobo5bobo11bo11bobo45bo16bo5bo6bo12b4o7b3o12bo7bobo12b2o
6b2o29b4o8b3o4bo2bo5bobo$3b2ob2o14b2o5bo2bo10bo2bo9b2o45bobo14bo3b2o7b
o11b2obobo7bobo21bo51bo12b3o4b2o$2bo5bo23b2o9bo21b2o23bo4b2o6b2o16bo7b
o2bo11b3obo2bo7b2o21b2o64bobo$5bo24bo3b2o8bobo5b2o11bo25bo3b2o32b2o14b
2obobo98b2o$2b2o3b2o23b2o11b2o5bobo11b3o20b3o54b4o$29bo2bo8bo12bo13bo
78bo$29bobo10b2o10b2o165bo2bo$3b4o14bo19b2o182bo41b4o$3bo2b2o11bobo81b
o2bo86bo2bo24bo3bo40bo3bo12bo2bo$4bob2o3b2o4b2o18b2o68bo41b4o44bo24b4o
13b4o27bo16bo$11b2o4b2o17bo3bo62bo3bo40bo3bo40bo3bo40bo3bo23bo2bo13bo
3bo$5b2o10b2o16bo5bo62b4o44bo18b2o21b4o44bo41b4o$6bo12bobo4bo8bo3bo2bo
105bo2bo19b2o65bo2bo19bo$21bo3bo9bo12bobo119bobo89bo$25b3o2bo5bo3bo3bo
4b2o21bo59bo4b2o83bo4b2o31b3o$2obob2o30b2o3b2obo3bo20bobo24bo4b2o27bob
o3b2o9b2o37bo4b2o20bo6bobo3b2o9b2o37bo4b2o$o5bo5bo32bo25b2o21b4o3b2ob
2o24bo3bo12bo2bo33b4o3b2ob2o16bobo5bo3bo12bo2bo33b4o3b2ob2o$bo3bo7bo
31b2o46b5o4bo2bo24bo3bo12bo2bo32b5o4bo2bo17b2o5bo3bo12bo2bo15bo16b5o4b
o2bo$2b3o6b3o78bo9bo2bo24bo3bo11b2ob2o31bo9bo2bo24bo3bo11b2ob2o16bo14b
o9bo2bo$93b2o8b2o25bo2bo13b2o34b2o8b2o25bo2bo13b2o16b3o15b2o8b2o$94bo
37bo51bo24bo12bo51bo$79bo127bobo$36b2o42bo15b2o5bo2bo79b2o5bo2bo11b2o
41bo24b2o5bo2bo$23bo11b4o13b2o24b3o14b4o8bo34b2o5b4o32b4o8bo34b2o5b4o
9bo22b4o8bo$20b3ob2o9b2ob2o10b2ob2o40b2ob2o3bo3bo32b2ob2o3bo3bo32b2ob
2o3bo3bo32b2ob2o3bo3bo7b3o22b2ob2o3bo3bo$21b3o13b2o11b4o43b2o5b4o32b4o
8bo34b2o5b4o32b4o8bo34b2o5b4o$3b2o16b2o28b2o88b2o5bo2bo79b2o5bo2bo$2bo
2bo240bo$2bo244bo$2bo82b2o158b3o$2bobo11bo68bo$2bobo11b2o49bo18b3o$3bo
11bobo29bo19b2o19bo10bobo139bo$45bobo18bobo28bo3bo140bo$35b2o6b2o12b2o
31b2o5bo19bo122b3o$2o3b2o27bo3bo4b2o12b2o26bo4b2o4bo4bo14b4o$o5bo26bo
5bo3b2o39b2o11bo12bo4b2obobo3b2o$23b2o8bo3bob2o4bobo36bobo10bo3bo3bob
2o5b3obo2bo2b2o110bo$bo3bo2b2o13b2o8bo5bo7bo51bobo2bob4o5b2obobo116bo$
2b3o4b2o23bo3bo65b2o2b2o6b4o115b3o$8bo26b2o80bo2$231bo$92b2o138bo$91b
2o137b3o$93bo3bobo$5bo46bo44b2o$3b2ob2o44b2o44bo$51bobo$2bo5bo$100bo$
2b2obob2o90b2o$99bobo$33bo76bo$31b4o6b2o2b2o62bobo$25b2o3bobob2o5b4obo
2bobo46bo8b2o3bo9b2o$25b2o2bo2bob3o5b2obo3bo3bo44b4o5b2o3bo9b2o$30bobo
b2o4bo12bo5b2o27b2o9b4o4b2o3bo$31b4o14bo4bo4b2o27b2o9bo2bo6bobo$33bo
19bo39bo5b4o7bo$5b2o42bo3bo39bo4b4o$5b2o42bobo46bo!
There's a version of this that can be adapted to accept p90N glider streams, posted by toroidalet on the Infinite Conduit thread.

Gamedziner
Posts: 796
Joined: May 30th, 2016, 8:47 pm
Location: Milky Way Galaxy: Planet Earth

Re: Thread for basic questions

Post by Gamedziner » November 14th, 2016, 10:19 pm

dvgrn wrote:
Gamedziner wrote:Are there any known guns that produce rakes?
Sure. Here's an old example, maybe the oldest but I'm not sure, from Golly's Patterns/Breeders/p90-rake-factory.rle:

Code: Select all

#C p90 gun for p20 space rake
#C The gun fires a p20 rake every 90 generations. (The smallest period
#C for a p20 rake gun is 86). The rake gun is a stationary breeder.
#C Dieter Leithner, 11 Nov 1994
x = 288, y = 129, rule = B3/S23
164bobo$163bo2bo$133b2o27b2o10bo6bo$133b2o4b3o12b2o4b2o3bo8bo5bobo$
119bo10b2o6b5o11b2o6b2o9bo6b2obo$119bobo7b3o5bo3bobo19bo2bo2b2o9b2ob2o
3b2o$122b2o6b2o6bo3b2o20bobo2bo2b3o5b2obo4b2o$93b2o13b2o12b2o9b2o34b4o
7bobo$67b2o24b2o13b2o12b2o9b2o35b2o9bo$67b2o50bobo$48b2o69bo11bo127bob
o$48b2o79bobo125bo3bo$93bo36b2o31bo93bo19bo$66b3o23b3o66b2o87b2o4bo4bo
14b4o$66b3o22bo3bo34bo31b2o86b2o5bo12bo4b2obobo$65bo3bo20bob3obo33b2o
125bo3bo3bob2o5b3obo2bo2b2o$64bo5bo20b5o33bobo37b3o87bobo2bob4o5b2obob
o3b2o$65bo3bo40b2o26bo30bo94b2o2b2o6b4o$26b2o38b3o41b2o27bo30bo106bo$
26b2o109b3o$110bo$109bobo49b2o115b2o$46b5o41bo2b2o12bobo10b2o36bobo
115bobo$26bo18bob3obo15bobo22bobo15bo12b2o10b2o23bo16b2o100b3o$25bobo
18bo3bo15bo2bo21b2o29bo12bobo21b2o8b2o6bobo100b2o$24bo3bo18b3o14bob2o
22b2o45bo31b2o6bo11bo90b2o$25b3o20bo41b2obo13b2obob2o13b2o8b2o48bobo
88bobo$23b2o3b2o37bo23b3o13bo5bo13b2o28bo16b2o9b2o92bo$64b2obo40bo3bo
42b3o16b2o9b2o12b2o$66bo42b3o3bo23b2o13bo10b2o3bo6b2o6b2o12b2o44b2o$
46bo45b2o3b2o16b2o22bo14b2o9bobo3bo5b3o7bobo55bo30b2o3b2o$46bo13b2o33b
o18bobo9b2o9bobo26b5o6b2o10bo47bo5bobo11b2o17b2o3b2o$24bo20bobo5bo6b2o
4b2o3b2o19bo5bo25bo3bo8b2o28b3o4b2o25b2o33bobo4b2o11bobo$24bo19b2ob2o
2bobo13b5o12bobo6b2ob2o25bo5bo44b2o24bo2bo32b2obo16bo15b3o3b3o$24bob3o
14bo5bo2b2o13b2ob2o12b2o8bobo21b2o2b2obo3bo70bo23b2o10b2ob2o14b2o8b2o
5bo5b3o$46bo20b2ob2o13bo9bo22b2o3bo5bo9bobo10bo47bo23b2o10b2obo25b2o6b
o5bo$29bo13b2o3b2o18b3o24bo28bo3bo10b2o10b3o46bobo33bobo$26bob2o82bo
13b2o12bo10b3o46bobo34bo$26b2o70bo13bo88bo40bobo$45bo51bobo11bobo35b2o
3b2o86b2o$45bo32bo5b3o10bobo10b2ob2o34b2o3b2o80bo6bo$21b2o3b2o16bo31b
2o6bo13bo10bo5bo24bo57b2o3b2o31bobo37b3o$21b2o3b2o40b2o7b2o6bo26bo25b
2o58bo5bo31b2o38b3o$22b5o7bo33b2o39b2o3b2o23b2o134bo3bo$23bobo9bo10b2o
47b2o3b2o24bo60bo11bo3bo$33b3o10b2o47bobobobo23bo60bobo11b3o41bo29b2o
3b2o$23b3o70b5o10bo13b3o26b2o13b2o15b2obo54b3o$68bo9b2o12b2o3b3o11bo
28bo13bo14bobo14b2ob2o3b2o51bo$66bobo8bobo12bobo3bo11bo29b3o7bo4b3o2b
2o2b2o6bo13b2obo4b2o50b2o$67b2o8bo14bo50bo5b2o6bo2b2obo2bo2bo2bo13bobo
$58bo17b2o8b2o54b2o5bobo12b2o6bo8bo5bo$58b3o25b2o24b2o55bobo7bobo$24b
2o6b2o27bo50b2o55b2o9b2o16bo$24b2o6b2o26b2o136bobo59b2o$8b2o65bo122b2o
59b2o$9bo66bo166b2o16bo14b2o$9bobo5bo8bo2bo44b3o18b3o50b2o7b2o44bo39b
2o31b2o$10b2o4bobo10bo64b2ob2o19bo20b2o6bobo6b2o30bo13b3o81b2o$14b2o3b
o5b2o3bo2bo15bo44b2ob2o17b2o21b2o8bo8bo30bo11b5o80bo$5b2o7b2o3bo4bobob
2o3b4o13bo11b3o29b5o18b2o68b3o10b2o3b2o61b2o9bo4bobo$5b2o7b2o3bo14b4o
10b3o10bo3bo27b2o3b2o101b5o15bo45b4o7bobo3b2o$16bobo5b2o8bo2bo5b2o127b
o28bo3bo13b2o24b3o14bobo2bo2b3o5b2obo$17bo16b4o5b2o15bo5bo98b2obo3b4o
26bobo9bo5b2o12bo12bo13bo2bo2b2o9b2ob2o$33b4o23b2o3b2o92b2o2b2obobo4b
4o26bo9bo15bo4b4o8bo13b2o9bo6b2obo$33bo42bo39bobo10b2o9b3o15bobo2b2obo
b2o3bo2bo36b3o13bo5b4o10b2o7b2o3bo8bo5bobo$5bo14b2o23b2o27bobo20b2o17b
2o11bo2bo9bo14b3o8b2o3b4o19bo27b2o9bo2bo9bobo9b2o10bo6bo$5bo15bo22bobo
10bo17b2o40bo3b5o7bo7bo5bo8b3o8b2o3b4o4b2o12bobo6b2o19b2o9b4o8b3o4b2o
5bo2bo$4bobo14bobo5bobo11bo11bobo45bo16bo5bo6bo12b4o7b3o12bo7bobo12b2o
6b2o29b4o8b3o4bo2bo5bobo$3b2ob2o14b2o5bo2bo10bo2bo9b2o45bobo14bo3b2o7b
o11b2obobo7bobo21bo51bo12b3o4b2o$2bo5bo23b2o9bo21b2o23bo4b2o6b2o16bo7b
o2bo11b3obo2bo7b2o21b2o64bobo$5bo24bo3b2o8bobo5b2o11bo25bo3b2o32b2o14b
2obobo98b2o$2b2o3b2o23b2o11b2o5bobo11b3o20b3o54b4o$29bo2bo8bo12bo13bo
78bo$29bobo10b2o10b2o165bo2bo$3b4o14bo19b2o182bo41b4o$3bo2b2o11bobo81b
o2bo86bo2bo24bo3bo40bo3bo12bo2bo$4bob2o3b2o4b2o18b2o68bo41b4o44bo24b4o
13b4o27bo16bo$11b2o4b2o17bo3bo62bo3bo40bo3bo40bo3bo40bo3bo23bo2bo13bo
3bo$5b2o10b2o16bo5bo62b4o44bo18b2o21b4o44bo41b4o$6bo12bobo4bo8bo3bo2bo
105bo2bo19b2o65bo2bo19bo$21bo3bo9bo12bobo119bobo89bo$25b3o2bo5bo3bo3bo
4b2o21bo59bo4b2o83bo4b2o31b3o$2obob2o30b2o3b2obo3bo20bobo24bo4b2o27bob
o3b2o9b2o37bo4b2o20bo6bobo3b2o9b2o37bo4b2o$o5bo5bo32bo25b2o21b4o3b2ob
2o24bo3bo12bo2bo33b4o3b2ob2o16bobo5bo3bo12bo2bo33b4o3b2ob2o$bo3bo7bo
31b2o46b5o4bo2bo24bo3bo12bo2bo32b5o4bo2bo17b2o5bo3bo12bo2bo15bo16b5o4b
o2bo$2b3o6b3o78bo9bo2bo24bo3bo11b2ob2o31bo9bo2bo24bo3bo11b2ob2o16bo14b
o9bo2bo$93b2o8b2o25bo2bo13b2o34b2o8b2o25bo2bo13b2o16b3o15b2o8b2o$94bo
37bo51bo24bo12bo51bo$79bo127bobo$36b2o42bo15b2o5bo2bo79b2o5bo2bo11b2o
41bo24b2o5bo2bo$23bo11b4o13b2o24b3o14b4o8bo34b2o5b4o32b4o8bo34b2o5b4o
9bo22b4o8bo$20b3ob2o9b2ob2o10b2ob2o40b2ob2o3bo3bo32b2ob2o3bo3bo32b2ob
2o3bo3bo32b2ob2o3bo3bo7b3o22b2ob2o3bo3bo$21b3o13b2o11b4o43b2o5b4o32b4o
8bo34b2o5b4o32b4o8bo34b2o5b4o$3b2o16b2o28b2o88b2o5bo2bo79b2o5bo2bo$2bo
2bo240bo$2bo244bo$2bo82b2o158b3o$2bobo11bo68bo$2bobo11b2o49bo18b3o$3bo
11bobo29bo19b2o19bo10bobo139bo$45bobo18bobo28bo3bo140bo$35b2o6b2o12b2o
31b2o5bo19bo122b3o$2o3b2o27bo3bo4b2o12b2o26bo4b2o4bo4bo14b4o$o5bo26bo
5bo3b2o39b2o11bo12bo4b2obobo3b2o$23b2o8bo3bob2o4bobo36bobo10bo3bo3bob
2o5b3obo2bo2b2o110bo$bo3bo2b2o13b2o8bo5bo7bo51bobo2bob4o5b2obobo116bo$
2b3o4b2o23bo3bo65b2o2b2o6b4o115b3o$8bo26b2o80bo2$231bo$92b2o138bo$91b
2o137b3o$93bo3bobo$5bo46bo44b2o$3b2ob2o44b2o44bo$51bobo$2bo5bo$100bo$
2b2obob2o90b2o$99bobo$33bo76bo$31b4o6b2o2b2o62bobo$25b2o3bobob2o5b4obo
2bobo46bo8b2o3bo9b2o$25b2o2bo2bob3o5b2obo3bo3bo44b4o5b2o3bo9b2o$30bobo
b2o4bo12bo5b2o27b2o9b4o4b2o3bo$31b4o14bo4bo4b2o27b2o9bo2bo6bobo$33bo
19bo39bo5b4o7bo$5b2o42bo3bo39bo4b4o$5b2o42bobo46bo!
There's a version of this that can be adapted to accept p90N glider streams, posted by toroidalet on the Infinite Conduit thread.
Thanks! :D

Code: Select all

x = 81, y = 96, rule = LifeHistory
58.2A$58.2A3$59.2A17.2A$59.2A17.2A3$79.2A$79.2A2$57.A$56.A$56.3A4$27.
A$27.A.A$27.2A21$3.2A$3.2A2.2A$7.2A18$7.2A$7.2A2.2A$11.2A11$2A$2A2.2A
$4.2A18$4.2A$4.2A2.2A$8.2A!

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Re: Thread for basic questions

Post by A for awesome » November 20th, 2016, 8:41 pm

What cellular automaton does WolframAlpha use for their "computing..." screen? It seems to be somewhat similar to BTCA1 and the "sawfish" rule in Golly, but apart from that, I can't tell.
x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

$$x_1=\eta x$$
$$V^*_\eta=c^2\sqrt{\Lambda\eta}$$
$$K=\frac{\Lambda u^2}2$$
$$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$

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Re: Thread for basic questions

Post by domalmorian » December 7th, 2016, 7:42 am

I am missing something.....

....if C1 soup search is run for apgsearch on 16x16 soups... that is 256 cells per soup..... with 2 states that is 2^256 soups.....
...while we're nowhere close to that number..it is somewhat possible that some are repeated at some point....

....does apgsearch use both identical soups for its counting??...

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Re: Thread for basic questions

Post by Alexey_Nigin » December 7th, 2016, 7:55 am

domalmorian wrote:I am missing something.....

....if C1 soup search is run for apgsearch on 16x16 soups... that is 256 cells per soup..... with 2 states that is 2^256 soups.....
...while we're nowhere close to that number..it is somewhat possible that some are repeated at some point....

....does apgsearch use both identical soups for its counting??...

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I don't think that apgsearch removes duplicate soups, partly because it is hard and partly because nobody really needs it. The probability that even one duplicate soup has already occurred is very low (I am too lazy to calculate it right now, but I can do it if you ask). And even if it occurs, it will most certainly not break anything. The probability of having a duplicate soup with a notable object or so many duplicate soups that they skew some statistics is so low that we should be more worried about alien invasion destroying Catagolue servers.
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Re: Thread for basic questions

Post by dvgrn » December 7th, 2016, 10:55 am

Alexey_Nigin wrote:I don't think that apgsearch removes duplicate soups, partly because it is hard and partly because nobody really needs it. The probability that even one duplicate soup has already occurred is very low (I am too lazy to calculate it right now, but I can do it if you ask). And even if it occurs, it will most certainly not break anything. The probability of having a duplicate soup with a notable object or so many duplicate soups that they skew some statistics is so low that we should be more worried about alien invasion destroying Catagolue servers.
My favorite comparison is this one, which also includes some specific calculations:
A higher probability exists that every member of your programming team will be attacked and killed by wolves in unrelated incidents on the same night.
And that's for the 20-byte, 160-bit hashes used by Git. SHA-256 adds another factor of 2^96 to the improbability of a duplicate -- so the above easily holds, even if your programming team includes every human on Earth.

(Especially because there aren't really enough wolves -- the available ones would get pretty tired doing all that hard work... Maybe "struck by lightning" would be a better low-probability accident, but that would require quite an impressive globe-spanning lightning storm.)

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Re: Thread for basic questions

Post by Saka » December 14th, 2016, 5:57 am

excuse me can someone tell me where to find JLS (Jason Life Search)?
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Code: Select all

x = 17, y = 10, rule = B3/S23
b2ob2obo5b2o$11b4obo$2bob3o2bo2b3o$bo3b2o4b2o$o2bo2bob2o3b4o$bob2obo5b
o2b2o$2b2o4bobo2b3o$bo3b5ob2obobo$2bo5bob2o$4bob2o2bobobo!
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Re: Thread for basic questions

Post by Sokwe » December 14th, 2016, 6:05 am

Saka wrote:excuse me can someone tell me where to find JLS (Jason Life Search)?
It's actually "JavaLifeSearch" (written by Karel Suhajda), and is available here. It is generally slower than WLS, but it has more features, such as pasting and subperiodic cells.
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Re: Thread for basic questions

Post by Saka » December 14th, 2016, 6:20 am

Sokwe wrote: It's actually "JavaLifeSearch"
:roll: Just my dumbness at work. I immediately assumed it was Jason Life Search e.g made by Jason Summers. Lol
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Code: Select all

x = 17, y = 10, rule = B3/S23
b2ob2obo5b2o$11b4obo$2bob3o2bo2b3o$bo3b2o4b2o$o2bo2bob2o3b4o$bob2obo5b
o2b2o$2b2o4bobo2b3o$bo3b5ob2obobo$2bo5bob2o$4bob2o2bobobo!
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Re: Thread for basic questions

Post by Rhombic » December 19th, 2016, 10:56 am

Running oscar.py on this:

Code: Select all

x = 15, y = 15, rule = B2-n4i/S35c6c:K15,15*
b3ob2o4bo$3bo7b4o$2b4o4b2o$9bob2obo$obo2bo$2bobo5b4o$2bo5bo4b2o$2bo3bo
bo$8bo3bo$4bo7bo$2bo2bobo4b2o$o7bob3o$bo4bo3bo3bo$3bo8b2o$4bo8bo!
(bounded Klein bottle/Torus explosive rule)
should return some period of oscillation, since all patterns have to oscillate at some point when within a bounded grid. However, either it takes a huge amount of time (and the period is enormous) or there's something that I'm missing.
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Re: Thread for basic questions

Post by calcyman » December 19th, 2016, 11:01 am

Rhombic wrote:Running oscar.py on this:

Code: Select all

x = 15, y = 15, rule = B2-n4i/S35c6c:K15,15*
b3ob2o4bo$3bo7b4o$2b4o4b2o$9bob2obo$obo2bo$2bobo5b4o$2bo5bo4b2o$2bo3bo
bo$8bo3bo$4bo7bo$2bo2bobo4b2o$o7bob3o$bo4bo3bo3bo$3bo8b2o$4bo8bo!
(bounded Klein bottle/Torus explosive rule)
should return some period of oscillation, since all patterns have to oscillate at some point when within a bounded grid. However, either it takes a huge amount of time (and the period is enormous) or there's something that I'm missing.
Do you have any reason to believe that the period is small? The only obvious upper bound is 2^225, which is enormous.
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Re: Thread for basic questions

Post by muzik » December 31st, 2016, 4:59 am

What exactly counts as "promising" in partial spaceship terms?
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Re: Thread for basic questions

Post by dvgrn » December 31st, 2016, 10:19 am

muzik wrote:What exactly counts as "promising" in partial spaceship terms?
My knowledge of this is totally second-hand, but here's a quote from someone who has run a lot of successful searches:
moebius wrote:I have run many searches over the years and I have noted that for almost any search as I increase the width the final partials get very long (5 to 10 times the width) at the widths just below where ships start being found.
That's more for diagnosing what the minimum-width spaceship is likely to be for a given speed, than for telling whether a single sample partial is likely to have a completion or not.

Sounds to me like the only simple rule of thumb is "narrower is better than wider", with the corollary that "if a partial spaceship that gets narrower toward the back, that's much more promising than one that gets wider toward the back."

In other words, if you keep needing more cells in each new row to solve the problems created by the previous row, that's a very bad sign. That kind of trend has to be made to stop somehow, because the search space growth is exponential. You surprisingly quickly get to the point where searches would take millions of years to look at all the possibilities.

There could perfectly well be -- for example -- diamond-shaped or square 3c/7 spaceships that are much shorter than the spaghetti monster, 50x30 let's say. But a width of 50 makes for a hopeless search (the Universe will end too soon) so we currently don't have any tools that would be likely to put one of those together. So we increase the width gradually and find what we have enough CPU power to find.

It's not a coincidence that all of our hard-to-find spaceships are long and skinny, or short and wide, or skinny diagonals, or occasionally branching structures. In general those are the only configurations where we've been able to reduce the number of unknown cells to a point where the combinatorial explosion is manageable.

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Re: Thread for basic questions

Post by GUYTU6J » January 1st, 2017, 6:33 am

Is it just me or that I have to run zfind and WLS in turns in order to extend a partial?
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Re: Thread for basic questions

Post by Sokwe » January 1st, 2017, 8:01 am

muzik wrote:What exactly counts as "promising" in partial spaceship terms?
Consider for example the case of c/7 orthogonal spaceships in Life. We know that no odd-width bilaterally symmetric ships exist at width-17. A complete width-19 search would take at least a few weeks, and probably over a month. If we start a width-19 search, a good partial could be one that goes up to width-19 and then back down to width-17. We can then try to extend the partial at width-17. Width-17 searches take much less time than width-19 searches, so this might allow us to find a width-19 spaceship faster than the full width-19 search. I talked about this a little when I posted some c/7 partials.

Another aspect that can make a partial promising is loosely-connected components. That is, components of the spaceship that only interact for a few generations. For example look at row 25 of the following two c/7 partials:

Code: Select all

x = 76, y = 82, rule = B3/S23
2bo9bo49bo9bo$bobo7bobo47bobo7bobo$bo2bo5bo2bo47bo2bo5bo2bo$2b2o7b2o
49b2o7b2o2$bo5bo5bo47bo5bo5bo$2bo9bo49bo9bo$b2o3bobo3b2o47b2o3bobo3b2o
$bo4b3o4bo47bo4b3o4bo$7bo59bo2$5bo3bo55bo3bo$3b3o3b3o51b3o3b3o$4b2o3b
2o53b2o3b2o$4b2o3b2o53b2o3b2o$5bo3bo55bo3bo$4b7o53b7o$3b4ob4o51b4ob4o$
6bobo57bobo$2b3o2bo2b3o49b3o2bo2b3o$2bobo5bobo49bobo5bobo$b2o2bo3bo2b
2o47b2o2bo3bo2b2o$4b2o3b2o53b2o3b2o$bob3o3b3obo47bob3o3b3obo3$4b2o3b2o
53bo5bo$4b2o3b2o53b2o3b2o$b2o3bobo3b2o47b2o2b2ob2o2b2o$2obo2bobo2bob2o
45bo2bob2ob2obo2bo$4o2bobo2b4o45bo2bob2ob2obo2bo$2b3o5b3o48b2o9b2o$2bo
bo5bobo$2bobo5bobo50b3o3b3o$4bo5bo52b2obobob2o$3b3o3b3o52bobobobo$3b2o
2bo2b2o52bobobobo$3b2ob3ob2o50bo3bobo3bo$3bo3bo3bo49bo3bo3bo3bo$4b2o3b
2o51bobo5bobo$6bobo$4b3ob3o50bo11bo$3bo7bo48b3o9b3o$3bo2bobo2bo50bo9bo
$bobobo3bobobo$3obo5bob3o$ob2o3bo3b2obo47bo9bo$61b3o7b3o2$61b2o2b2ob2o
2b2o$64bobobobo2$60bo2bob2ob2obo2bo$60b2o4bobo4b2o$59b2o2bobo3bobo2b2o
$59bo2b2obo3bob2o2bo$60bo13bo3$64b3ob3o$63b2obobob2o$64bobobobo$64bobo
bobo$66bobo$63bo2bobo2bo$64bobobobo$62bo9bo$62bo9bo$64bo5bo2$64b2o3b2o
$64bo5bo$64bo5bo$62bo3b3o3bo$62bo9bo$66bobo$62bo3bobo3bo$61bo4b3o4bo$
60bobo3bobo3bobo$64b2o3b2o$65bo3bo$61bobo7bobo!
The loose connection allows completely different back ends to connect to the same front end. This allows for a wider variety of possible search paths, increasing the chance that one of them will give a spaceship. Notice that the second partial actually has several loosely-connected components.
GUYTU6J wrote:Is it just me or that I have to run zfind and WLS in turns in order to extend a partial?
zfind should work fine by itself for extending partials, but it's sometimes tricky to get the input right. Hopefully my post in the zfind discussion thread helps with that.

WLS has the advantage that you can use more complicated search areas. For example, it would be hard to set up a zfind search to find this 2c/7 tagalong if all you knew about was the weekender:

Code: Select all

x = 37, y = 24, rule = B3/S23
bo12bo7bo12bo$bo12bo7bo12bo$obo10bobo5bobo10bobo$bo12bo7bo12bo$bo12bo
7bo12bo$2bo3b4o3bo9bo3b4o3bo$6b4o8bo8b4o$2b4o4b4o2b5o2b4o4b4o$15bobobo
bo$4bo6bo13bo6bo$5b2o2b2o6bobo6b2o2b2o$14bo2bobo2bo$14bo2bobo2bo$14bob
o3bobo3$14b2o5b2o$14b2o5b2o2$16b2ob2o$15bobobobo$15bobobobo$17bobo$15b
2o3b2o!
With WLS it's easy. Just put two weekenders next to each other and clear out all of the cells between them.
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Re: Thread for basic questions

Post by muzik » January 8th, 2017, 3:27 am

So is pattern of the year 2016 coming up?
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Re: Thread for basic questions

Post by Alexey_Nigin » January 8th, 2017, 4:36 am

muzik wrote:So is pattern of the year 2016 coming up?
Yeah, it will probably go live today.
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Re: Thread for basic questions

Post by Rhombic » January 9th, 2017, 12:07 pm

This pattern leaves a series of squares to the left in a series that looks like some mathematical, possibly fractal, sequence. Any ideas? (run in Golly) you start to see how it is like by generation 7000

Code: Select all

x = 54, y = 53, rule = B2ae/S1e
48b2ob2o$47bobo3bo$46bo2bo$45bobo$44bobo$43bobo$42bobobo2bo2bo$41bobob
obo2b2o$40bobobobo$39bobobobo$38bobobobo3b2o$37bobobobo$36bobobobobo6b
o$35bobobobo3bo3b2o$34bobobobo5bo$33bobobobo7bo$32bobobobo13bo$31bobob
obo13bo$30bobobobo11bo$29bobobobo13bo$28bobobobo17bo$27bobobobobo15bo$
26bobobobobobo$25bobobobobobobo$24bobobobobobobobo$23bobobobo3bobobo$
22bobobobo5bobo$21bobobobo7bo$20bobobobo25bo$19bobobobo25bo$18bobobobo
16b2o5bo$17bobobobo16bo2bo5bo$16bobobobo13bo2bo4bo7bo$15bobobobo17bo4b
o6bo$14bobobobo19bo2bo$13bobobobo16bo4b2o$12bobobobo$11bobobobo21bo$
10bobobobo21bobo$9bobobobo21bobo$8bobobobo21bobo$7bobobobo9bo13bo$6bob
obobo9bobo$5bobobobo9bobobo22bo$4bobobobo9bobobobo20bo$3bobobobo11bobo
bo$2bobobobo13bobo26bo$bobo3bo15bo28bo$o$o44bo$bobo40bo$2bobo$3bo!
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Re: Thread for basic questions

Post by Saka » January 10th, 2017, 9:46 am

What is the largest still lofe with a known synthesis? (Please provide RLE for synth and how many gliders)
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Code: Select all

x = 17, y = 10, rule = B3/S23
b2ob2obo5b2o$11b4obo$2bob3o2bo2b3o$bo3b2o4b2o$o2bo2bob2o3b4o$bob2obo5b
o2b2o$2b2o4bobo2b3o$bo3b5ob2obobo$2bo5bob2o$4bob2o2bobobo!
(Check gen 2)

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Re: Thread for basic questions

Post by muzik » January 10th, 2017, 9:48 am

Saka wrote:What is the largest still lofe with a known synthesis? (Please provide RLE for synth and how many gliders)
Probably something infinitely extendable.
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Re: Thread for basic questions

Post by calcyman » January 10th, 2017, 10:23 am

I predict that someone will find a synthesis for a 2017-bit still life, using no more than 50 gliders, before the end of this year.
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Re: Thread for basic questions

Post by blah » January 10th, 2017, 8:58 pm

Rhombic wrote:This pattern leaves a series of squares to the left in a series that looks like some mathematical, possibly fractal, sequence. Any ideas? (run in Golly) you start to see how it is like by generation 7000

Code: Select all

x = 54, y = 53, rule = B2ae/S1e
48b2ob2o$47bobo3bo$46bo2bo$45bobo$44bobo$43bobo$42bobobo2bo2bo$41bobob
obo2b2o$40bobobobo$39bobobobo$38bobobobo3b2o$37bobobobo$36bobobobobo6b
o$35bobobobo3bo3b2o$34bobobobo5bo$33bobobobo7bo$32bobobobo13bo$31bobob
obo13bo$30bobobobo11bo$29bobobobo13bo$28bobobobo17bo$27bobobobobo15bo$
26bobobobobobo$25bobobobobobobo$24bobobobobobobobo$23bobobobo3bobobo$
22bobobobo5bobo$21bobobobo7bo$20bobobobo25bo$19bobobobo25bo$18bobobobo
16b2o5bo$17bobobobo16bo2bo5bo$16bobobobo13bo2bo4bo7bo$15bobobobo17bo4b
o6bo$14bobobobo19bo2bo$13bobobobo16bo4b2o$12bobobobo$11bobobobo21bo$
10bobobobo21bobo$9bobobobo21bobo$8bobobobo21bobo$7bobobobo9bo13bo$6bob
obobo9bobo$5bobobobo9bobobo22bo$4bobobobo9bobobobo20bo$3bobobobo11bobo
bo$2bobobobo13bobo26bo$bobo3bo15bo28bo$o$o44bo$bobo40bo$2bobo$3bo!
That is really interesting. You know, a lot of the time in CA I see patterns- especially with replicators -that exhibit very complex but structured behaviour that I just never bother to analyse in detail. This, however, is really weird.
weirdfractal.png
weirdfractal.png (5.76 KiB) Viewed 8132 times
The entire pattern itself is not a fractal, but it definitely contains fractal elements to the lower right. It's all made slightly more complicated by the fact that everything is oscillating at all times; maybe it would be easier to analyse if somebody made a rule where cells that were once alive became a state with a colour very similar to live cells, then the appearances would stay still as the pattern oscillates.
weirdfractal.png
weirdfractal.png (12.14 KiB) Viewed 8132 times
Here is one of those things. At this point, I should already notice a common motif here: In a lot of fractals (especially those generated by replicators) the ruler sequence (which is self-similar) occurs in a lot of places. But in this, I have yet to find the ruler sequence (and I conjecture it does not occur anywhere). I would even say that these are hardly fractals; the common motif I see is an object occuring multiple times at difference scales, in a sequence.
weirdnonfractal.png
weirdnonfractal.png (36.25 KiB) Viewed 8132 times
In the main recurring pattern, there is a prominent square that stands out to me as containing incredible sudden complexity and regality. I'm calling this the die. The die has infinitely many V-shapes in various places and scales, like an obvious sequence of sequentially smaller Vs going to the bottom right, and two spiral patterns in the bottom left and top right.

the die is evidently divided into square sections, which themselves are divided into square sections, and so on. In fact, this motif of nested squares seems to occur throughout the entire pattern. And I should've mentioned this earlier but the die may actually contain copies of itself, going from the upper left to the center. I've zoomed in on one and it seems like it may actually resemble the whole die. Huh.

Some things I haven't done are trying to investigate the microdynamics (as in, the ruleset and how small patterns behave) and observing one of these things form.

Congratulations on finding this, it's definitely very interesting.
succ

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Re: Thread for basic questions

Post by dvgrn » January 11th, 2017, 11:42 am

calcyman wrote:I predict that someone will find a synthesis for a 2017-bit still life, using no more than 50 gliders, before the end of this year.
Given that you have the most interest in this prediction coming true, I predict that _if_ you're right, the "someone" will turn out to be you...!

I'll be impressed if this can be done inside a 50-glider limit, though -- I would have thought that a nice round 100 gliders would still be a fairly ambitious target (for a connected true still life, not a pseudo still life or a mere constellation, that is.)

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Re: Thread for basic questions

Post by blah » January 11th, 2017, 12:07 pm

I found the ruler sequence in that pattern.
weirdfractal.png
weirdfractal.png (20.49 KiB) Viewed 8088 times
It's a segment of a T-Box that occurs and dies off while the pattern forms. In the lower left you can see the die forming.
succ

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Re: Thread for basic questions

Post by GUYTU6J » January 26th, 2017, 11:38 am

I revived this pattern which came from the repeat script a long time ago.What can we say about the phenomenon on the top?

Code: Select all

x = 128, y = 518, rule = B3/S23:T128,0
2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o3b2o3b2obo6bobobo5bo
bobobobobo3bobobo6bo12b2o2b2o2b2o$48o2b2o3b2o3b2o2bob3obob2o6bo3b3obo
2b4ob2o6bobobobobobobob2o2b6o$48b2o2b2o3b2o3b2o4b2o2bob2obo2bob2o3b2ob
2obo2bob2o6bobobobobob2o3bo$51bo2b2o3b2o3b2o5bo2bo7bobo5bo7bobo5bobobo
bobobo4b2o$51bobo2b2o3b2o3bo4bobo2bobobo3b2o6bobobo3b2o6bobobobobob4ob
2o$53bobo2b2o3b2obobob4ob2obobobobob2o3b2obobobobob2o3b2obobobobobobo
2bobo$52bo2bobo2b2o3b6obo2bob2obob3obo2b3ob2obob3obo2b3ob2obob3obo6b2o
$15bo2bo4bo2bo4bo2bo4bo2bo4bo2bo4bobobo2b2o15bo2bo4bo2bo4bo2bo4bo2bo4b
o2bo4bobobo2b2o$2o5bobobobo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bobobo2b2o5b
obobobo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bobobo$2bobo2bobobobobobobobobob
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bobo$bob2ob3o2b3o46b2obobob2ob3o2b3o46b2obo$2obob2ob2o2bo2bo47b3obob2o
b2o2bo2bo47bo$11bo3b3o57bo3b3o$o2b2o3bobo3bobo2b2o2b2o2b2o2b2o2b2o2b2o
2b2o2b2o2b2o2b2o2b2o2b2o2b2o3bobo3bobo2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o
2b2o2b2o2b2o2bo$7o6b3o3b52o6b3o3b45o$7b3obob3o2bo52b3obob3o2bo$13bo3b
3o57bo3b3o$o2b2o2b2o2b2o2bo3b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b
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15ob2o3b58ob2o3b43o$15b2ob2o59b2ob2o$18bob2o60bob2o$20bobo61bobo$20bob
2o60bob2o$22bob2o60bob2o$22bobobo59bobobo$24bob2o60bob2o$24bobob2o58bo
bob2o$26bobobo59bobobo$26bobob2o58bobob2o$28bobob2o58bobob2o$28bobobob
o57bobobobo$30bobob2o58bobob2o$30bobobob2o56bobobob2o$32bobobobo57bobo
bobo$32bobobob2o56bobobob2o$34bobobob2o56bobobob2o$34bobobobobo55bobob
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55bobobobobo$38bobobobob2o54bobobobob2o$40bobobobob2o54bobobobob2o$40b
obobobobobo53bobobobobobo$42bobobobob2o54bobobobob2o$42bobobobobob2o
52bobobobobob2o$44bobobobobobo53bobobobobobo$44bobobobobob2o52bobobobo
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48bobobobobob2o52bobobobobob2o$48bobobobobobob2o50bobobobobobob2o$50bo
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50bobobobobobob2o50bobobobobo$obob2o48bobobobobobobob2o48bobobobobo$ob
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2bobobobobobobobobo16bobo2bobobobobobobobo2bobobobo2bobobobobobobobobo
$11bobobo2bobobobobobobobo2bobobobo2bobobobobobobob2o15bobobo2bobobobo
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2bobobobobobobob2o15bobobo2bobobobobobobobo2bobobobo2bobobobobobobob2o
$13bobobobo2bobobobobobobobo2bobobobo2bobobobobobobobo14bobobobo2bobob
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3bobobobo3b5o3bobobobobo2bobobobobobobobo2bobob2o3b2o3bo3bobobobo3b5o
3bobobobobo$bo2bobobobobobobobo2bobob2o3b2obobobobobobob2o5b3o2bobobob
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10bobobobobobo2bobobobobobobobo2bobob2o9b2obobob2o10bobobo$bobobobo2bo
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2bobob2o2b2o2b2o2b2o2b2o9bo2bobobobobobo2bobobobobobobobo2bobob2o2b2o
2b2o2b2o2b2o9bo$o2bobobobobobo2bobobobobobobob2o3b19o8bobo2bobobobobob
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13bobobobobobo2bobobobobo2bobo4bo8b2ob2o2bo2bo13bobobobobobo2bobobobob
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10b3obobobobobobo2bobobob2o3bobob2o$3bo4b3o11b2o2bobobobobobo2bobobobo
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2bobobobobobo2bobobob2o12b2o2b2o2b3o2b2o13bo2bobobobobobo2bobobob2o12b
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10bobo4bobobobobobobobo2bobobo2bobobobo14b2o10bobo4bobobobobobobobo2bo
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3b2o9b2ob2o5bobobobobobo8bo2bobo2bobobobobob3o3b2o9b2ob2o5bobobobobobo
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3b2o12b2o5bobobo3b3o7b2o2bobo2bobo$bobobo3b3obo3bo7bobobobo2b3ob3o2b2o
2b2o2b2o3bobobo2bobobobo3b3obo3bo7bobobobo2b3ob3o2b2o2b2o2b2o3bobobo2b
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12bobo$bobo2bobo2bobob11obobobobobobo11bob2o12bobo2bobo2bobob11obobobo
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12b3o2bobobobobo9bobob2o10bobobob2o3b2o12b3o2bobobobobo9bobob2o$9bobob
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2o$9bobobo3b2ob2o17bobobobob2o8bobobobo9bobobo3b2ob2o17bobobobob2o8bob
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b3o6bo2bo11b2o2bobobob2o5bo2b3obo$2b3o2bo2b3o2bo2b3o2bo2b3o13bo2b2o2bo
b2o2bo2b3o2bo2b3o2bo2b3o2bo2b3o2bo2b3o13bo2b2o2bob2o2bo2b3o2bo$28b2o
12bobo2bo3bo40b2o12bobo2bo3bo$b2o2b2o2b2o2b2o2b2o2b2o2b2o3b2o12bobo2bo
bob2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o3b2o12bobo2bobob2o2b2o2b2o$
29obobo11bobob2o3b40obobo11bobob2o3b11o$29b2ob2o12bobob2o41b2ob2o12bob
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bobobo$34bobo2bobobobo2bobobob2o42bobo2bobobobo2bobobob2o$36b2o3bobobo
4bobobob2o42b2o3bobobo4bobobob2o$33bo2bobo2b3ob3o2bobobobobo38bo2bobo
2b3ob3o2bobobobobo$35b4ob2o5bo4bobobob2o39b4ob2o5bo4bobobob2o$37bo2bob
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43bobo5bo3bobobobobo$38bobobobobobobob2obo2bobob2o38bobobobobobobob2ob
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37bob2o3b2ob2o8bobobobo37bob2o3b2ob2o8bobo$ob2o5bo21bo2bo5bobobo5bob3o
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2o4b3o17b2o3b3o2bobo2bo4bobobobobobo3bobob2o4b3o17b2o3b3o2bobo2bo4bobo
bobo$2b3o2b2o4b3o2b2o18bo4bo2bobobo3bo3bo2b2o3b3o2b2o4b3o2b2o18bo4bo2b
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4b2o16b2o4bo3bobobobobobobo2bo$b2o5b2ob3o3b2o3bo9bobobob3o5bobo2b10obo
2b2o5b2ob3o3b2o3bo9bobobob3o5bobo2b10obo$3b3o2bobo2b2o2b4ob2o8bobobobo
2b2o2b2o3bo10bobo3b3o2bobo2b2o2b4ob2o8bobobobo2b2o2b2o3bo10bobo$b2o4b
3o5b2o4b2ob2o8bobobo3b7ob2o13b2o4b3o5b2o4b2ob2o8bobobo3b7ob2o$bobobo3b
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2o8b2o$b2o2bob2o2b5ob2o7b2o8bobobobo9bobo10b2o2bob2o2b5ob2o7b2o8bobobo
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2o6bobobob2o10bobo$b2o4bo3bo7bobobob2obobo7bobobob2o8bob3o2b2o2b2o4bo
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2b2o3b2obobobo3bo2b2o4bo2bobobob3o7bo15b2o2b2o3b2obobobo3bo2b2o4bo2bob
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3b2o2b2o3bobobobo2bobo4bobobobobo2b2o2b2o2bobo$obo2bo3b2o3b2o2b2o3b2o
2b2o3bob2o4bo3bobobo3b9o3bobo2bo3b2o3b2o2b2o3b2o2b2o3bob2o4bo3bobobo3b
9o$2bo5b2ob2o3b2o3b2o2b2o3b2o2bobobobobobobobob2o9b2o3bo5b2ob2o3b2o3b
2o2b2o3b2o2bobobobobobobobob2o9b2o$2b3o2b2o2bob2o3b2o2b2o3b2o2b2o2b2o
2b8obobobo9b2o2b3o2b2o2bob2o3b2o2b2o3b2o2b2o2b2o2b8obobobo9b2o$2ob2o2b
2o4bob2o3b2o3b2o2b2o3b2o2bo8b2o3b2o2bo4bo2b2ob2o2b2o4bob2o3b2o3b2o2b2o
3b2o2bo8b2o3b2o2bo4bo$6bo2bobo3bob2o3b2o2b2o3b2o2b2o2bo9b2o2b2o2bo5bo
6bo2bobo3bob2o3b2o2b2o3b2o2b2o2bo9b2o2b2o2bo5bo$obo3bobo2bobobobob2o3b
2o3b2o2b2o3b3o8bob2o3b3o5bobo3bobo2bobobobob2o3b2o3b2o2b2o3b3o8bob2o3b
3o$2bo2b3o3b3o3bo3b2o3b2o2b2o3b2o3b2o2b2o2b2o3b2o3b2o6bo2b3o3b3o3bo3b
2o3b2o2b2o3b2o3b2o2b2o2b2o3b2o3b2o$2bob2obo2bobo2b2o2bo3b2o3b2o3b2o2b
2o3b7obo2bob2o3b2o4bob2obo2bobo2b2o2bo3b2o3b2o3b2o2b2o3b7obo2bob2o3b2o
$4bobo2b3o3b4ob2o3b2o3b2o2b2o3b3o7b2ob2o3b2o3bo5bobo2b3o3b4ob2o3b2o3b
2o2b2o3b3o7b2ob2o3b2o3bo$4bobo3b2o2bo4b2ob2o3b2o3b2o3b2o2b2o9bobo2bo4b
2o4bobo3b2o2bo4b2ob2o3b2o3b2o3b2o2b2o9bobo2bo4b2o$2ob4ob2o3b3o6bob2o3b
2o3b2o2b2o3b2o8b2ob2ob4ob2ob4ob2o3b3o6bob2o3b2o3b2o2b2o3b2o8b2ob2ob4o$
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20bob2o3b2o5bobob2o3b2o3b2o2b2o2b2o4b2o$obobobobo3bob2o3bo6bobob2o3b2o
3b2o3b2obobobobobobobobobobobobobo3bob2o3bo6bobob2o3b2o3b2o3b2obobobob
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5bobobob2o3b2o3b2o3b2obo2bo2bobobobobobobo2b2o3bob4ob2o5bobobob2o3b2o
3b2o3b2obo2bo2bobobo$obobobobo2b2o2b2obo2bobo4bobobobob2o3b2o3b2o3b2ob
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3b2o3b2o3b2obobobobobobobobobobo2bobobobo2b2o4bobobobobob2o3b2o3b2o3b
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3b2o3b2o3b2o$obo3bobobobobobobobo2bobobob2obo2bo2bobobobobob2o3b2o3b2o
3b2obo3bobobobobobobobo2bobobob2obo2bo2bobobobobob2o3b2o3b2o3bo$b2obob
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2bobobobobob2o3b2o3b2o3b2o3b2o2bobobobob2o3bobobobobo3bobo2bobobobobob
2o3b2o3b2o$2o3b2obo2bo2bobobobobo2b2o2bobobobobobobo2bobobobobob2o3b2o
3b2o3b2obo2bo2bobobobobo2b2o2bobobobobobobo2bobobobobob2o3b2o$2b2o3b2o
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3b2obobobobobobobo3b2o2bo8bobobo2bobobobobob2o$3b2o3b2o3b2o3b2o2bobobo
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bobobobob2o$2o3b2o3b2o3b2obo2bo2bobobob2o3b2o2b2o2b2o3b2ob2obobobobobo
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2bobobobobob2o3b2o3b2o3b2obo3bobobobob2o8b2ob2o6bo2bobobo$obobob2o3b2o
3b2o3b2obobobobobobob2o9bob2o3bo2bo2bobobobobob2o3b2o3b2o3b2obobobobob
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2bobobobobob2o3b2o3b2o3b2o3b2o2bobobobo10bobo6b2o2bo$obobobobob2o3b2o
3b2o3b2obo2bo2bobob2o9bob2o3b3o3bobobobobobob2o3b2o3b2o3b2obo2bo2bobob
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3b2obo3bobobobo8bobob2o4b3o2bobobobobobob2o3b2o3b2o3b2obo3bobobobo8bob
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3b2o3b2o2bob2o7bobobobo8bobobobobobobob2o3b2o3b2o3b2o3b2o2bob2o7bobobo
bo$2b3obobobobobobobob2o3b2o3b2o3b2obo2bo2bobo8bobob2o5b3obobobobobobo
bob2o3b2o3b2o3b2obo2bo2bobo8bobob2o$4b2o2bobobobobobobob2o3b2o3b2o3b2o
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3bobo6bobobob2o6bobo2bobobobobobobob2o3b2o3b2o3b2obo3bobo6bobobobo$b2o
6bobo2bobobobobobobob2o3b2o3b2o3b2obobob2o7bobobob2o6bobo2bobobobobobo
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3b2o3bob2o5bobobobobo5bobobo2bobobobobobobob2obob2o3b2o3b2o3bob2o5bobo
bo$bob2o6bobobo2bobobobobo3bob2obob2o3b2o3b2o3bobo6bobobob2o6bobobo2bo
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3b2obob3o2b2o4bo2bobobob2o4bobobobo2bobobobob2o9b2o3b2obob3o2b2o4bo2bo
$bobobobo5bobobobo2bobobobob2o3b2o2bob2o3b2o3b2o2b2obo4bobobobobo5bobo
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2bo3bo$4b2o2b2o2b3o2bobobobo2bobobob2o4bobo2bo4b2o4bobo2bobobo4b2o2b2o
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2bobobob2ob4ob2ob4ob2ob4ob2o3b3o3b3o2b2o4bo2bobobobo2bobobob2ob4ob2ob
4ob2ob4ob2o3bo$bo2bo3b2o2bobo2b2o2bobobobo2bobobob2obo2bob2obo2bob2obo
2bob2obobo2bo3b2o2bobo2b2o2bobobobo2bobobob2obo2bob2obo2bob2obo2bob2ob
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bobobobobobo2bo3bo$bo19b2o4b2o2bobobobobobo2bobobobobobobobo2bobobo19b
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2bobobobobobo2bobobobobobobob2o21bobo4bobobo2bobobobobobo2bobobobobobo
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12bob2o3b2obo2bo$bobobobobobobo2bobobobo2bobobobobobobo11bobob2o3b2obo
3bobobobobobobo2bobobobo2bobobobobobobo11bobob2o3b2obo$3bobobobobobobo
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3b2obo2bo2bobobobobobo2bobobobo2bobobob2obo2bobo4bo2bobobob2o3b2obo2bo
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bobobo2bobobobobo$4b2obobobobobob2o3b2obo2bo2bobobobobobo2bobobobo2bob
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3bobobobo2b2obo2bobobobo2bobobob2o$7b3obobobo3bob2o3b2obo3bobobobo2bo
3bobobobobo2bobobobo7b3obobobo3bob2o3b2obo3bobobobo2bo3bobobobobo2bobo
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2bobob2obo2bo2bobobobo2bobob2o9bo4b3obobob2o3b2o3b2o2bobob2obo2bo2bobo
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3o8bo3b2o3b2obo2bo2bobob2obo4bo2bobobo2bo$3bobo2bobob3o2b2o2b2o2bo3b2o
3b2obo3bobo3b2obob2o2bobobob2o3bobo2bobob3o2b2o2b2o2bo3b2o3b2obo3bobo
3b2obob2o2bobobob2o$obo2bob2obobo3b9ob2o3b2o3b2obo3bobo3b2ob3o3b3obobo
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3b2o3b2obobob3o6bo2bo3bo2bo4bobob2obo2bo9b2ob2o3b2o3b2obobob3o6bo2bo3b
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3b2o3b2o3bo2b3o2bo2b3o4bo$3bobobobo3bo2b2o12bob2o3b2o3b2o14b2o2b2o3bob
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2o2b2o2b2o3b6o2b2o3b3o6b2o10bobob2o3b2o2b2o2b2o2b2o2b2o3b4o$2b2o2b2o3b
2o2b2o3bo11bobob2o3b2o2b14o7b2o2b2o3b2o2b2o3bo11bobob2o3b2o2b14o$5bo2b
2o3b6ob2o10bobobob2o3b2o14b2o8bo2b2o3b6ob2o10bobobob2o3b2o14b2o$5bobo
2b2o7b2ob2o10bobobob2o3bo15bo7bobo2b2o7b2ob2o10bobobob2o3bo15bo$7bobo
2b2o8bobo9bobobo3b2ob2o14b2o8bobo2b2o8bobo9bobobo3b2ob2o14b2o$o5bo2bob
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3ob3o6bo2bo5b3o2bo$bobo3bo3bobob2o6b2o2b3o2bo2b3o2bo2b3o2bo2b3o6bo4bob
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28b2ob2o6bobo13bob2o4bo28b2ob2o$bob2o16bobo2bo30bob2o4bob2o16bobo2bo
30bob2o$3bob2o13bo2bob3o31bobo5bob2o13bo2bob3o31bobo$3bo3bo2bo4bo2bo4b
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22bo2bo4bob2o4bobobo3bo3bo3bo3bo3b2o22bo2bo4bobo$4b2o3bobobobobobobobo
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16b2obobobobobobobobo2b2o$3bo2bobobo3b2o2bo20bobobobobobobobo2bo10bo2b
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18b2o2bobobobobobobob2obo3bo3bo3bobobob2o3b2o18b2o2bobobobobobobob2obo
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16bob2o5bob2o17bobobo2bobobobobobo$18b2o5bobo18bobobo2b3obobob2o19b2o
5bobo18bobobo2b3obobob2o$o16bo2bobo2bob2o16bo2bobobo4b3obob2o16bo2bobo
2bob2o16bo2bobobo4b3obobo$bo17b2o6bob2obo7bo2bo4bobob3o10bo17b2o6bob2o
bo7bo2bo4bobob3o$b2o14bobobobobo3bo4bobobo3bo3bo3bobobo2b2o2b2o2b2o14b
obobobobo3bo4bobobo3bo3bo3bobobo2b2o2b2o$4o15b2o2bobobobobob2obobobobo
bobobobobo3b12o15b2o2bobobobobob2obobobobobobobobobo3b8o$4b2o13bo2bo2b
9ob2o2b10o3bob2o12b2o13bo2bo2b9ob2o2b10o3bob2o$6bo11b2o2bobo13bo11b2o
2bobo13bo11b2o2bobo13bo11b2o2bobo$2bo3b2o9bob2o3b2o8bo3b2o9bob2o3b2o8b
o3b2o9bob2o3b2o8bo3b2o9bob2o3b2o$5b2ob2o9bo2bobob2o2bo6b2ob2o9bo2bobob
2o2bo6b2ob2o9bo2bobob2o2bo6b2ob2o9bo2bobob2o2bo$bo2b2o2bobo8bobob2obob
o2bobo2b2o2bobo8bobob2obobo2bobo2b2o2bobo8bobob2obobo2bobo2b2o2bobo8bo
bob2obobo2bo$bo2b2o4b2o9bobo2bobo4bo2b2o4b2o9bobo2bobo4bo2b2o4b2o9bobo
2bobo4bo2b2o4b2o9bobo2bobo$o3bobobo2b2o8bobo3b2ob3o3bobobo2b2o8bobo3b
2ob3o3bobobo2b2o8bobo3b2ob3o3bobobo2b2o8bobo3b2ob2o$2o2b2o2bobo2b2o8bo
b3o2bob2o2b2o2bobo2b2o8bob3o2bob2o2b2o2bobo2b2o8bob3o2bob2o2b2o2bobo2b
2o8bob3o2bo$2b2obo2bob2o3bobobo3b3obo6b2obo2bob2o3bobobo3b3obo6b2obo2b
ob2o3bobobo3b3obo6b2obo2bob2o3bobobo3b3obo$o3bobo3bobobo2bobo2b2o4bobo
bo3bobo3bobobo2bobo2b2o4bobobo3bobo3bobobo2bobo2b2o4bobobo3bobo3bobobo
2bobo2b2o4bobo$ob2o4bo2b2o4bobob2o3bo3bobob2o4bo2b2o4bobob2o3bo3bobob
2o4bo2b2o4bobob2o3bo3bobob2o4bo2b2o4bobob2o3bo3bo$obob2ob4o2bobo3bobob
2obobobobobob2ob4o2bobo3bobob2obobobobobob2ob4o2bobo3bobob2obobobobobo
b2ob4o2bobo3bobob2obobobo$obobob2obo2bo2bobobobobob8obobob2obo2bo2bobo
bobobob8obobob2obo2bo2bobobobobob8obobob2obo2bo2bobobobobob7o$bo2bo7bo
bob2o3b2o10bo2bo7bobob2o3b2o10bo2bo7bobob2o3b2o10bo2bo7bobob2o3b2o$3bo
2bobobo3bobo2b2o2bobo9bo2bobobo3bobo2b2o2bobo9bo2bobobo3bobo2b2o2bobo
9bo2bobobo3bobo2b2o2bobo$bobob2obobobobobobob2obo3b2obo2bobob2obobobob
obobob2obo3b2obo2bobob2obobobobobobob2obo3b2obo2bobob2obobobobobobob2o
bo3b2obo$bo3bob2o2b6obobo4b2o6bo3bob2o2b6obobo4b2o6bo3bob2o2b6obobo4b
2o6bo3bob2o2b6obobo4b2o$3b2o5bo6b2obobob2obobobo3b2o5bo6b2obobob2obobo
bo3b2o5bo6b2obobob2obobobo3b2o5bo6b2obobob2obobobo$bobob2o3b2o8b3ob3o
2bobobobob2o3b2o8b3ob3o2bobobobob2o3b2o8b3ob3o2bobobobob2o3b2o8b3ob3o
2bobo$b3obo2b3ob2o14bo2bob3obo2b3ob2o14bo2bob3obo2b3ob2o14bo2bob3obo2b
3ob2o14bo2bo$bo4bo2bo2bobo2bo4bo2bo2bobo2bo4bo2bo2bobo2bo4bo2bo2bobo2b
o4bo2bo2bobo2bo4bo2bo2bobo2bo4bo2bo2bobo2bo4bo2bo2bobo$o3bo3bo5bobo3bo
3bo5bobo3bo3bo5bobo3bo3bo5bobo3bo3bo5bobo3bo3bo5bobo3bo3bo5bobo3bo3bo
5bo$obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo$11obo3b
11obo3b11obo3b11obo3b11obo3b11obo3b11obo3b11obo$11b2ob2o11b2ob2o11b2ob
2o11b2ob2o11b2ob2o11b2ob2o11b2ob2o11b2ob2o$o13bobo13bobo13bobo13bobo
13bobo13bobo13bobo13bo$2o14b2o14b2o14b2o14b2o14b2o14b2o14b2o$ob2o7bo4b
ob2o7bo4bob2o7bo4bob2o7bo4bob2o7bo4bob2o7bo4bob2o7bo4bob2o7bo$obobob2o
bo3bob2obobob2obo3bob2obobob2obo3bob2obobob2obo3bob2obobob2obo3bob2obo
bob2obo3bob2obobob2obo3bob2obobob2obo3bobo$2o2bo7b2ob3o2bo7b2ob3o2bo7b
2ob3o2bo7b2ob3o2bo7b2ob3o2bo7b2ob3o2bo7b2ob3o2bo7b2obo$3bo2bobobob2o5b
o2bobobob2o5bo2bobobob2o5bo2bobobob2o5bo2bobobob2o5bo2bobobob2o5bo2bob
obob2o5bo2bobobob2o$o2bob2obobobo3bo2bob2obobobo3bo2bob2obobobo3bo2bob
2obobobo3bo2bob2obobobo3bo2bob2obobobo3bo2bob2obobobo3bo2bob2obobobo$
5bob2obobob2o5bob2obobob2o5bob2obobob2o5bob2obobob2o5bob2obobob2o5bob
2obobob2o5bob2obobob2o5bob2obobob2o$3o2bo4b3obob3o2bo4b3obob3o2bo4b3ob
ob3o2bo4b3obob3o2bo4b3obob3o2bo4b3obob3o2bo4b3obob3o2bo4b3obo$o3b3o9bo
3b3o9bo3b3o9bo3b3o9bo3b3o9bo3b3o9bo3b3o9bo3b3o$2bo3b2o2b2o2b2o2bo3b2o
2b2o2b2o2bo3b2o2b2o2b2o2bo3b2o2b2o2b2o2bo3b2o2b2o2b2o2bo3b2o2b2o2b2o2b
o3b2o2b2o2b2o2bo3b2o2b2o2b2o$2ob2o3b10ob2o3b10ob2o3b10ob2o3b10ob2o3b
10ob2o3b10ob2o3b10ob2o3b8o$2b2ob2o11b2ob2o11b2ob2o11b2ob2o11b2ob2o11b
2ob2o11b2ob2o11b2ob2o$5bob2o12bob2o12bob2o12bob2o12bob2o12bob2o12bob2o
12bob2o$7bobo13bobo13bobo13bobo13bobo13bobo13bobo13bobo$7bob2o12bob2o
12bob2o12bob2o12bob2o12bob2o12bob2o12bob2o$9bob2o12bob2o12bob2o12bob2o
12bob2o12bob2o12bob2o12bob2o$9bobobo11bobobo11bobobo11bobobo11bobobo
11bobobo11bobobo11bobobo$11bob2o12bob2o12bob2o12bob2o12bob2o12bob2o12b
ob2o12bob2o$o10bobob2o10bobob2o10bobob2o10bobob2o10bobob2o10bobob2o10b
obob2o10bobobo$bo11bobobo11bobobo11bobobo11bobobo11bobobo11bobobo11bob
obo11bobo$b2o10bobob2o10bobob2o10bobob2o10bobob2o10bobob2o10bobob2o10b
obob2o10bobo$bob2o10bobob2o10bobob2o10bobob2o10bobob2o10bobob2o10bobob
2o10bobob2o10bo$bobobo8bo2bobobo8bo2bobobo8bo2bobobo8bo2bobobo8bo2bobo
bo8bo2bobobo8bo2bobobo8bo$bobob2o5bo4bobob2o5bo4bobob2o5bo4bobob2o5bo
4bobob2o5bo4bobob2o5bo4bobob2o5bo4bobob2o5bo$3bobob2o6bo3bobob2o6bo3bo
bob2o6bo3bobob2o6bo3bobob2o6bo3bobob2o6bo3bobob2o6bo3bobob2o6bo$bobobo
bobo3bobobobobobobo3bobobobobobobo3bobobobobobobo3bobobobobobobo3bobob
obobobobo3bobobobobobobo3bobobobobobobo3bobo$6obob2o3b8obob2o3b8obob2o
3b8obob2o3b8obob2o3b8obob2o3b8obob2o3b8obob2o3b2o$6bo2bob3o8bo2bob3o8b
o2bob3o8bo2bob3o8bo2bob3o8bo2bob3o8bo2bob3o8bo2bob3o$8bo4b2o9bo4b2o9bo
4b2o9bo4b2o9bo4b2o9bo4b2o9bo4b2o9bo4b2o$o8b2o4b2o8b2o4b2o8b2o4b2o8b2o
4b2o8b2o4b2o8b2o4b2o8b2o4b2o8b2o4bo$bo5bob2o2b2o2bo5bob2o2b2o2bo5bob2o
2b2o2bo5bob2o2b2o2bo5bob2o2b2o2bo5bob2o2b2o2bo5bob2o2b2o2bo5bob2o2b2o$
ob2o5bo2b5ob2o5bo2b5ob2o5bo2b5ob2o5bo2b5ob2o5bo2b5ob2o5bo2b5ob2o5bo2b
5ob2o5bo2b4o$b2obobo2bobo5b2obobo2bobo5b2obobo2bobo5b2obobo2bobo5b2obo
bo2bobo5b2obobo2bobo5b2obobo2bobo5b2obobo2bobo$4bo6b2o7bo6b2o7bo6b2o7b
o6b2o7bo6b2o7bo6b2o7bo6b2o7bo6b2o$5bobobo2b2o7bobobo2b2o7bobobo2b2o7bo
bobo2b2o7bobobo2b2o7bobobo2b2o7bobobo2b2o7bobobo2b2o$7bobobo2b2o7bobob
o2b2o7bobobo2b2o7bobobo2b2o7bobobo2b2o7bobobo2b2o7bobobo2b2o7bobobo2b
2o$obo4b2o2bobo2bobo4b2o2bobo2bobo4b2o2bobo2bobo4b2o2bobo2bobo4b2o2bob
o2bobo4b2o2bobo2bobo4b2o2bobo2bobo4b2o2bobo$o2bobob2o2bobob2o2bobob2o
2bobob2o2bobob2o2bobob2o2bobob2o2bobob2o2bobob2o2bobob2o2bobob2o2bobob
2o2bobob2o2bobob2o2bobob2o2bobobo$bo3bobobo3bobobo3bobobo3bobobo3bobob
o3bobobo3bobobo3bobobo3bobobo3bobobo3bobobo3bobobo3bobobo3bobobo3bobob
o3bobo$bo2b2o3bo2b2o3bo2b2o3bo2b2o3bo2b2o3bo2b2o3bo2b2o3bo2b2o3bo2b2o
3bo2b2o3bo2b2o3bo2b2o3bo2b2o3bo2b2o3bo2b2o3bo2b2o$2ob4ob2ob4ob2ob4ob2o
b4ob2ob4ob2ob4ob2ob4ob2ob4ob2ob4ob2ob4ob2ob4ob2ob4ob2ob4ob2ob4ob2ob4ob
2ob4o$3o2bo2b3o2bo2b3o2bo2b3o2bo2b3o2bo2b3o2bo2b3o2bo2b3o2bo2b3o2bo2b
3o2bo2b3o2bo2b3o2bo2b3o2bo2b3o2bo2b3o2bo2b3o2bo2$o2b2o2b2o2b2o2b2o2b2o
2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b
2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2bo$128o!
It contains a moving part at speed of light and an unstable backend.The back end sometimes "
crystalizes" and catches up with the front,and sometimes gets broken.
Last edited by GUYTU6J on January 26th, 2017, 11:54 am, edited 2 times in total.
Removed for swansong, Moosit
I indeed suffer from Life Worker Time Deficiency Syndrome (LWTDS)

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