ConwayLife.com - A community for Conway's Game of Life and related cellular automata
Home  •  LifeWiki  •  Forums  •  Download Golly

t log log t? (Complete!)

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

t log log t? (Complete!)

Postby Alexey_Nigin » May 24th, 2015, 4:33 pm

Here is a blueprint for an O(t log log t) growth pattern. The caber tosser can probably be replaced with something else to get even more exotic growth rates.

tloglogt.png
tloglogt.png (29.89 KiB) Viewed 15058 times
Last edited by Alexey_Nigin on May 27th, 2015, 12:32 pm, edited 1 time in total.
There are 10 types of people in the world: those who understand binary and those who don't.
User avatar
Alexey_Nigin
 
Posts: 323
Joined: August 4th, 2014, 12:33 pm
Location: Ann Arbor, MI

Re: t log log t?

Postby Kiran » May 24th, 2015, 11:22 pm

If my Log log log log? project is completed, it can be used to make an O(t log(log(...log(log(t))...))) pattern with this G->Rake converter:
x = 402, y = 151, rule = B3/S23
299bo$300b2o$299b2o4$349bo$347b3o$346bo$346b2o$151bobo30b2o$151bo3bo
28bobo157bo$135bo19bo23b2o4b3o12bo142bobo$100bo32b4o14bo4bo4b2o12b4o2b
o4b3o8b4o4bo136bo3bo$98b3o31bobob2o4bo12bo5b2o12b3ob2o4b3o8b4o5bo137b
3o$97bo29b2o2bo2bob3o5b2obo3bo3bo28bobo9bo2bo9b2o130b2o3b2o$97b2o9b2o
17b2o3bobob2o5b4obo2bobo30b2o10b4o9b2o$74bo33b2o23b4o6b2o2b2o39bo8b4o
122b2o$74b3o58bo27b2o8b2o12bo12bo93bo29bo$77bo85b2o8b2o12b3o101b4o29bo
bo6bobo$65b2o9b2o95b2o115b4o16bo14b2o5bo2bo4bo$65b2o106bo11b2o96b2o5bo
2bo8b2o5bobo19b2o5b2o$92b2o3b2o54b2o9b2o6bobo10bobo95b2o5b4o14bo3b2o
15b2o3bo9bo$92bo5bo54b2o7bob2o6bob2o9bo105b4o3b2obobo4bo3b2o17b2o11bo$
162bo131bo2bo3b2o5bo3b2o18bo2bo$93bo3bo51bo12bo17bo117bo10bobo3b2o16bo
bo18b2o$94b3o34b2o16b2o11bo2bo7b2o5bobo98b2o15bo2bo8bo4bobo37bo$64b3o
11b3o50b2o15bobo12b2o8b2o5b2o98bobo34bo37bobo10bo$63b2ob2o9bo3bo25b5o
92b2o73b3o35b2o37b2o9bobo$63b2ob2o8bo5bo23bob3obo79b3o2bo5bo3bo71b2o
86b2obo7b2o$63b5o8bo5bo24bo3bo76bo3bo9bo5bo73b2o7bo61b2o12b2ob2o6bobo$
62b2o3b2o10bo28b3o75bobo4bo8bo3bob2o2b2o67b3o6bo61b2o13b2obob3o6bo$77b
o3bo27bo21bo52b2o16bo5bo3b2o76b3o2b3o56bo12bobo2bo2bo2bo2bo7b2o$78b3o
17bo30b2ob2o7b2o41b2o17bo3bo87bo72bo4b2o6bo7b2o$64b2o13bo16bobo43b2o
40b2o18b2o75b2o13bo81bobo$63b5o29b2o29bo5bo6bo37b2o5bobo92b2o95b2o$63b
o47bo66bobo7bo120b2o$65b3o12b3o10bo17bo16b2obob2o43bo99b2o24bo4b2o42b
2o10bobo$67bo12b3o9b3o15bobo63b3o99bo19b2ob5o6b2o39b2o10b2o$65b2o12bo
3bo7b5o13b2ob2o46b2o13bo93bo6bobo18bo4b2o2bo5b3o5b2o44bo$65b2o6bobo14b
2o3b2o6b2o3bo5bo19b2o24bo4bo9b2o92bobo4b2o18bo8b2o5b2o6b2o40b2o$73b2o
3b2o3b2o6b5o7b2o6bo21bobo15bo6bobo4bobo61b2o39bobo23bo7bo4b2o43b2o6b2o
22b2o$74bo16bo3bo12b2o3b2o19bo16bobo4b2o5b2o5b3o54b2o26b2o11bo2bo22bo
12b2o41bob2o30bo$60b2o3b2o25bobo38b2o17bobo17b3o33b2o16b2o10bo4bo13b2o
11bobo14b2o8bo54bo16bo7bo6bobo$60bobobobo3b2o19b3o39b3o3b2o11bo2bo52b
2o8b2o5b3o10bo4bobo23bobo14bobo9b2o52bo15b4o5bobo4b2o$61b5o4b2o18b2o5b
o14bo21b2o3b2o11bobo63b2o6b2o10bo7b2o21bo16bo65bo2bo7b2o2bo2b2o8b2o$
62b3o26bo4bo15bo19bo18bobo11bo63b2o2b2o11b2o4b2o31b2o66b2o8b2o2b2o11b
2o$63bo24b3o5b3o14bo37bo12bo5b2o3b2o52b2o2bo2b2o8b2o4b2o106b2o10bo7b2o
$88bo75b3o4b5o58b4o5bobo113b3o10bo4bobo$83b2o87b3o41b2o17bo7bo116b2o
10bo4bo$83bo26b2o21bo17bobo19bo42b2o136b2o7b2o$84b3o14bo8b2o20b3o16b2o
200bobo7b2o$60b2o17bo6bo10b2o2b2ob3o24b5o16bo63bo60b2o74bo$61bo18b2o
15b2o4b4o23b2o3b2o78bobo8bobo3bo44bobo72b2o$58b3o18b2o20b2o28b5o71b3o
5bo2bo7b2o3b2o45b3o4b3o75b2o$58bo72bo3bo70bo3bo5bo2bo7bo3bobo21b2o22b
2o4bo78bo$34bo30bo66bobo32b3o5b2o28bo5bo43bo20b2o8bo77bobo5b2o$32b3o
30b3o65bo28b2o3bo7bo30bo3bo5bo2bo24b2o7bobo20b3o86b2o5bobo$31bo36bo93b
obo3bo7b3o28b3o6b2o26bobo6b2o118b3o12bo$31b2o9b2o12b2o9b2o5bo88b3o12bo
28b3o24bo4b2o6bo37b3o86b3o8b4o$42b2o12b2o16b3o56b2o29b2o67bobo2bo2bo2b
o2bo13bo15b2o8bo85b3o8b4o9b2o$71bo5bo55b2o26b2o10b2o58b2obob3o6bo12bo
16b2o7bo6b2o69b2o6bobo9bo2bo9b2o$71bo4b2o83b3o9b2o58b2ob2o6bobo13b3o
30bobo67bobo6b2o10b4o5bo$233b2obo7b2o8bobo36bo68b3o11bo8b4o4bo$80bo
124b3o15b2o8bobo18b2o106b2o11bo12bo$43bo23b2o3b2o6bo81b2o40b2ob2o3bo9b
obo9bo20bo109b2o8b3o$29bo13bo24b5o6bo82b2o40b2ob2o4b2o7bo55b2o84b3o$
28b3o11bobo24b3o22bo109b5o3b2o7b2o54bobo$27b5o9b2ob2o24bo24b2o69b2o35b
2o3b2o69bo$26b2o3b2o7bo5bo6b2obob2o16b2o3b2o11b2o69bobo100bo20b2o9b3o
9b2o31b2o17b2o$27b5o11bo32bo5bo52bo31bo99b4o18bo10bo9bo2bo30b3o17b2o$
27bo3bo8b2o3b2o6bo5bo75bobo44b3o81b2obobo6bobo6bobo5bo5bo7bo34b2obo$
28bobo46bo3bo53b2o45bo82b3obo2bo3bo3bo6b2o4b4o12bo35b3o44b2o$29bo24b2o
b2o19b3o102bo82b2obobo4bo15bobob2o11bo36bo33b3o2bo5bo3bo$42b4o10bo92bo
8b2o14b2o19bo61b2o8b4o4bo4bo10bo2bob3o11bo2bo5b2o55bo3bo9bo5bo3b2o$41b
2o2bo23bo77bobo6bo2bo14bo20b2o11b2o46bobo9bo7bo14b2obob2o14b2o5bobo52b
obo4bo8bo3bob2o2b2o$27bo13b2obo22b2o66bo10bobo7bo3bo2b2o7bobo9bo5b2o4b
2o10bo47bo19bo3bo8b3ob4o24bo50b2o16bo5bo$25b2ob2o38b2o24bobo37bo10bo2b
o7bo2b2o2b3o6b2o10bobo3b2o4b3o10b3o43b2o21bobo7bobo4bo25b2o49b2o17bo3b
o$34bo7b2o37b2o12b2o37b3o9bobo16b2obo16bobo2b2o4b2o13bo76bo83b2o18b2o$
24bo5bo4bo6bo38bo13bo46b2o3bobo4b3o8bo2bo16bo2bo6b2o7b2o81b2o78b2o5bob
o$33b3o46b3o36bobo17bobo5bo15b2obo16bobo7bo8bobo159bobo7bo$24b2obob2o
22b3o28bo36b2o18bo21b3o8b2o8bobo19bo159bo$42b2obob2o3bo3bo12b2o3b2o33b
o12bo17b2o21b2o8bobo8bo21b2o157b2o$36bo5bo5bo12b2o8b3o36b2o61bo$35bo7b
o3bo3bo5bo3b2o7bo3bo34b2o61b2o$35b3o6b3o4b2o3b2o13bobo169b2o58b2o$72bo
169b4o56b4o$242b2ob2o55b2ob2o$24b2o28bo11bobo5b2o65b2o58b2o41b2o15b2o
41b2o15b2o$25bo27bobo11b2o5bo64b2ob2o55b2ob2o55b2ob2o55b2ob2o$22b3o28b
obo11bo7b3o61b4o56b4o56b4o56b4o$22bo30bo23bo62b2o58b2o58b2o58b2o$53bo
67bo59bo59bo59bo$44b2o7bo2bo63b3o3b2o52b3o3b2o52b3o3b2o52b3o3b2o38bo$
35bo8b2o8b2o4bo2b2o54b5ob3o9b3o39b5ob3o9b3o39b5ob3o9b3o39b5ob3o9b3o25b
o$31b2o2b2ob3o18bo3b2o2b2o54b3o9bo3b2o42b3o9bo3b2o31bobo8b3o9bo3b2o31b
obo8b3o9bo3b2o24b3o$31b2o4b4o18bo7b2o54b3o9bobo2b2o41b3o9bobo2b2o31b2o
8b3o9bobo2b2o31b2o8b3o9bobo2b2o$35b2o23b4o60bo9bo5bo43bo9bo5bo32bo10bo
9bo5bo32bo10bo9bo5bo21b2o$21bo101bo11bo2b2o43bo11bo2b2o43bo11bo2b2o43b
o11bo2b2o22b2o$20bo114bo59bo59bo59bo$20b3o114bo59bo59bo29bobo27bo$70bo
2bo56bo2bo56bo2bo56bo2bo34b2o20bo2bo$12bo61bo6b2o51bo6b2o51bo6b2o51bo
6b2o25bo25bo6b2o$12bobo55bo3bo4b2ob2o46bo3bo4b2ob2o46bo3bo4b2ob2o46bo
3bo4b2ob2o46bo3bo4b2ob2o$2o11bobo55b4o4b4o48b4o4b4o48b4o4b4o48b4o4b4o
48b4o4b4o$2o11bo2bo63b2o58b2o58b2o58b2o20bobo35b2o$13bobo267b2o$12bobo
268bo$12bo50b2o181b2o8b2o8b2o8b2o8b2o8b2o8b2o8b2o8b2o8b2o$63bo28bo153b
obo7bobo7bobo7bobo7bobo7bobo7bobo7bobo7bobo7bobo$55bo5bobo23b3ob2o2b2o
151bo9bo9bo9bo9bo9bo9bo9bo9bo9bo$16bo37b2o5b2o24b4o4b2o151b2o8b2o8b2o
8b2o8b2o8b2o8b2o8b2o8b2o8b2o$16bo21b2o13b2o36b2o7b2o$15bobo20b3o11b3o
45b2o$14b2ob2o21b2obo9b2o3b2o$13bo5bo20bo2bo10b2o22bo$16bo23b2obo11bo
6b3o13b3o$13b2o3b2o11b2o5b3o10bo12bo3b2o11bo$30bobo5b2o9bobo11bo3bobo
10b2o$30bo19b2o14b3o31b3o$15bo13b2o35b2o22b3o$15bo53b2o19bo9bobo$14bo
53b3o20bo7b5o$56b2o40b2o3b2o$56b2o40b2o3b2o$16b2o50b2o20b3o$16b2o27bo
22b2o12b3o7bo$44b4o33bo3bo5bo6b2o$32b2o9b2obobo6bobo22bo5bo9b2obo$32b
2o8b3obo2bo3bo3bo23bo3bo10bo$43b2obobo4bo12b2o14b3o$44b4o4bo4bo8b2o14b
o2bo11b3obo$45bo7bo29b3o15bo$53bo3bo25b2obo14bo$55bobo26bobo$85bo3$82b
2o3b2o7b2o3b2o$82bobobobo9b3o$83b5o9bo3bo$84b3o11bobo$85bo13bo4$98b2o$
87b2o9b2o$87bo$88b3o$90bo!
Kiran Linsuain
User avatar
Kiran
 
Posts: 284
Joined: March 4th, 2015, 6:48 pm

Re: t log log t?

Postby Alexey_Nigin » May 25th, 2015, 2:34 pm

The only component I don't know of is a SE-producing constellation with the following properties:

  • It doesn't send gliders in all directions.
  • It consists entirely of still lifes (to avoid parity issues).
  • It is easy to construct.
There are 10 types of people in the world: those who understand binary and those who don't.
User avatar
Alexey_Nigin
 
Posts: 323
Joined: August 4th, 2014, 12:33 pm
Location: Ann Arbor, MI

Re: t log log t?

Postby Extrementhusiast » May 25th, 2015, 2:44 pm

Alexey_Nigin wrote:The only component I don't know of is a SE-producing constellation with the following properties:

  • It doesn't send gliders in all directions.
  • It consists entirely of still lifes (to avoid parity issues).
  • It is easy to construct.


You mean like a long boat?
x = 4, y = 8, rule = B3/S23
2b2o$bobo$obo$bo2$b2o$bobo$bo!
I Like My Heisenburps! (and others)
User avatar
Extrementhusiast
 
Posts: 1785
Joined: June 16th, 2009, 11:24 pm
Location: USA

Re: t log log t?

Postby Alexey_Nigin » May 25th, 2015, 4:01 pm

Martin, I meant switch engine, not south-east.
There are 10 types of people in the world: those who understand binary and those who don't.
User avatar
Alexey_Nigin
 
Posts: 323
Joined: August 4th, 2014, 12:33 pm
Location: Ann Arbor, MI

Re: t log log t?

Postby Kiran » May 25th, 2015, 4:42 pm

I also thought you meant south-east glider.
Could you please explain why it would be t log(log(t))?
It appears to be t log(t).
Kiran Linsuain
User avatar
Kiran
 
Posts: 284
Joined: March 4th, 2015, 6:48 pm

Re: t log log t?

Postby Alexey_Nigin » May 25th, 2015, 5:03 pm

Kiran wrote:I also thought you meant south-east glider.
Could you please explain why it would be t log(log(t))?
It appears to be t log(t).


Roughly speaking, the caber tosser is responsible for one log and the semi-snark-ish adder is responsible for another log. More specifically, the nth switch engine starts after approximately 4^n gliders from the caber tosser, which happens at time O(2^4^n).
There are 10 types of people in the world: those who understand binary and those who don't.
User avatar
Alexey_Nigin
 
Posts: 323
Joined: August 4th, 2014, 12:33 pm
Location: Ann Arbor, MI

Re: t log log t?

Postby Extrementhusiast » May 25th, 2015, 7:26 pm

Two boats and a block make a block laying switch engine w/o any gliders:
x = 20, y = 16, rule = B3/S23
13bo4bo$12bobo2bobo$12b2o3b2o4$17b2o$17bobo$17bo6$2o$2o!
I Like My Heisenburps! (and others)
User avatar
Extrementhusiast
 
Posts: 1785
Joined: June 16th, 2009, 11:24 pm
Location: USA

Re: t log log t?

Postby simsim314 » May 25th, 2015, 8:14 pm

Another variant:

x = 13, y = 19, rule = B3/S23
10b2o$4b2o3bo2bo$4b2o3bo2bo$10b2o6$2o$2o6$10b3o$10bo$11bo!
User avatar
simsim314
 
Posts: 1696
Joined: February 10th, 2014, 1:27 pm

Re: t log log t? (Complete!)

Postby Alexey_Nigin » May 27th, 2015, 12:27 pm

By the way, I have completed the project:

x = 1581, y = 373, rule = B3/S23
556b5o$450b6o13bo2bo23b3o56bo4bo$449bo5bo17bo21b5o60bo10b2o$455bo13bo
3bo21b3ob2o54bo3bo8b3ob2o$449bo4bo15b4o24b2o57bo10b5o$451b2o116b3o$
554b3o$391b2o9bo151bobo$286b2o15b2o83b3ob2o6bo3bo36bo111bo2bo11b5o$
282b4ob2o13b4o22b5o55b5o12bo35b3o109b3o5b2o9bo$282b6o14b2ob2o20bo4bo
56b3o8bo4bo36bo117bo11bo$283b4o17b2o26bo68b5o32b4o111b3o5b4o6bo$327bo
3bo106b3o112bo2bo12bo$329bo224bobo$374bo116b2o61b3o$338b2o30b2obobobo
25b2o84bo4bo74b2o$338b2o30b2o3b4o19bob3ob2o89bo61bo7b4ob2o992bo$379bob
3ob3ob3ob3o2b7o84bo5bo59bo3bo5b6o887b2o102bo3bo$338b2o30b2o3b4o20b5o
86b6o64bo5b4o886bo4bo105bo$338b2o30b2obobobo177bo4bo901bo99bo4bo8b3o$
374bo24b2o46bobo106b5o895bo5bo14b4o24b2o56b5o7b5o$397bo4bo45b2o946bo
60b6o13bo3bo21b3ob2o67b3ob2o$323b4o76bo44bo841b2o102bo3bo81bo21b5o71b
2o$322b6o69bo5bo77b6o554bo246bo4bo105bo76bo2bo23b3o$322b4ob2o60b3o6b6o
76bo5bo448b2o102bo3bo250bo99bo4bo8b3o165bo$326b2o60b5o93bo446bo4bo105b
o243bo5bo14b4o24b2o13bo42b5o7b5o166bo$388b3ob2o86bo4bo453bo99bo4bo8b3o
233b6o13bo3bo21b3ob2o12bo54b3ob2o135bo3bob2o18bo4bo$391b2o89b2o449bo5b
o14b4o24b2o56b5o7b5o255bo21b5o71b2o136bob3obob2obo3bo3bo3bo3bo3bo$934b
6o13bo3bo21b3ob2o67b3ob2o250bo2bo23b3o14bob3o143bobo53bo2bo3bo3bo3bo4b
4o$957bo21b5o71b2o293b2o2b3o51bo91b2o46bob3obob2obo3bo3bo3bo$317b2o
634bo2bo23b3o367b2o4b2o19bo28bo3bo89b2o46bo3bob2o$313b4ob2o189b2o483b
2o57bo297bo3b2o15b3obobo32bo$313b6o187b3ob2o479b2ob2o26bo28bo3bo316b3o
bob4o3bo3bo3bo3bo3bo3bo5bo161b4o$314b4o127b6o55b5o482b2obob2o18b3o2bob
2o29bo324bo3bo3bo3bo3bo3bo3b7o27b4o129b6o$444bo5bo6bo49b3o6b6o473b2ob
2o18b3ob2ob2o3bo3bo3bo3bo3bo3bo5bo315b3obob4o3bo3bo3bo3bo3bo36b6o53b6o
69b4ob2o$450bo7bo56bo5bo505bo2bo3bo3bo3bo3bo3b7o294bo3b2o15b3obobo59b
4ob2o51bo5bo73b2o$444bo4bo6bobo62bo473b2ob2o18b3ob2ob2o3bo3bo3bo3bo3bo
303b2o4b2o19bo64b2o58bo60b5o$446b2o8bobo2b3o13bobo35bo4bo472b2obob2o
18b3o2bob2o323b2o2b3o48b4o87bo4bo60bo4bo$456b4o2bobo12bobo2b2o33b2o
472b2ob2o26bo329bob3o47b6o88b2o67bo$459bo2bo2b2o5b3o3bo2bo2b2o508b2o
54b4o275b6o69b4ob2o78b2o71bo3bo$456bobo4bobo7b2o7b2ob3o29b5o527b6o273b
o5bo17bo55b2o77bo4bo71bo$488b2ob3ob3ob3ob3ob3ob3o2b7o451b6o69b4ob2o
278bo17bo42b5o93bo$456bobo4bobo7b2o7b2ob3o28bob3ob2o449bo5bo73b2o273bo
4bo60bo4bo87bo5bo$459bo2bo2b2o5b3o3bo2bo2b2o35b2o456bo60b5o285b2o67bo
88b6o$456b4o2bobo12bobo2b2o489bo4bo60bo4bo276b2o71bo3bo$456bobo2b3o13b
obo495b2o67bo274bo4bo71bo$456bobo507b2o71bo3bo281bo126b3o$458bo60b5o
440bo4bo71bo277bo5bo125b5o$457bo49b3o8bo4bo446bo349b6o125b3ob2o$506b5o
12bo440bo5bo483b2o$506b3ob2o6bo3bo442b6o468b6o$509b2o9bo917bo5bo$1444b
o$1228b5o205bo4bo$1122b6o13bo2bo23b3o56bo4bo207b2o$1121bo5bo17bo21b5o
60bo10b2o$1127bo13bo3bo21b3ob2o54bo3bo8b3ob2o$1121bo4bo15b4o24b2o57bo
10b5o$466b4o653b2o116b3o$465b6o$465b4ob2o537bo3bo33b5o166bo$469b2o397b
5o68b6o13bo2bo23b3o18bobobobo31bo4bo165bobo2bob2o14b5o$311b4o447b6o13b
o2bo23b3o56bo4bo67bo5bo17bo21b5o60bo10b2o155b4obob2obo3bo3bo6bo$310b6o
445bo5bo17bo21b5o60bo10b2o61bo13bo3bo21b3ob2o17b2ob2o32bo3bo8b3ob2o
161bo2bo3bo3bo6bo248b3o$310b4ob2o226b2o222bo13bo3bo21b3ob2o54bo3bo8b3o
b2o54bo4bo15b4o24b2o7b3o47bo10b5o155b4obob2obo3bo3bo5bo143b4o42bo58b5o
$314b2o224b3ob2o138b3o74bo4bo15b4o24b2o57bo10b5o57b2o53bo6b2o3b2ob2o3b
2o41b3o85b3o66bobo2bob2o15bo144b6o39bo3bo56b3ob2o$467bo10b2o60b5o33b4o
42bo22b3o33b5o75b2o116b3o120b2o11b3o127b2ob2o66bo167b4ob2o15b2o26bo58b
2o8b5o$466b3o5b4ob2o60b3o6b6o21b6o39bo3bo19b2o2bo32b3ob2o315b2obo2bobo
2bob4o2b2o122b2o14b2o225b2o14b2ob2o20bo4bo67bo4bo$388b2o75bo2b2o4b6o
69bo5bo21b4ob2o15b2o26bo17bo4bo35b2o8b5o164bo130bob4o3bo11bo2bo4b2o32b
5o85b3o9bo4bo74b2o18bo144b4o22b5o72bo$385b3ob2o74b3obo5b4o76bo25b2o14b
2ob2o20bo4bo20bo46bo4bo78b3o79b3o2bob2o10b5o112bo2b2o4b3o5b3o6bob2o3bo
3bo3bo3bo3bo3bo3bo3bo4bo85bo2bo14bo61bo7b4ob2o18b2o143b2o95bo3bo$323b
2o60b5o76b2o2b2o77bo4bo42b4o22b5o72bo77bo3bo78b3ob2ob2o3bo3bo6bo142bo
2bo3bo3bo3bo3bo3bo3bo3bo4bo85bo3bo7bo5bo59bo3bo5b6o18b2o86bo156bo$319b
4ob2o60b3o6b6o66b2obo59bo3bo16b2o45b2o95bo3bo77bo5bo86bo2bo3bo6bo112bo
2b2o4b3o5b3o6bob2o3bo3bo3bo3bo3bo3bo3bo4bo2bo86bo3bo8b6o64bo5b4o106bo
136bo3bo15b3o$319b6o69bo5bo65bo2bo59bobobobobo108b3o48bo79bo5bo77b3ob
2ob2o3bo3bo5bo20bo91bob4o3bo11bo2bo4b2o123b2obo73bo4bo115b3o57b2o74bob
obobobo12b4o$320b4o76bo64bo3bo59bobo3b4o12b5o90bo49b3o78bo5bo77b3o2bob
2o11bo23b2o97b2obo2bobo2bob4o2b2o203b5o251bobo3b4o11b2ob2o$394bo4bo69b
o69bob3ob3o2b7o89b2obo10b2ob3o30b4o78bo3bo82bo38b2o76b2o20b2o11b3o387b
o2bo83bob3ob3o4b2o$371bo24b2o67bo2bo60bobo3b4o11bob3ob2o90b2o10b2obob
3o28b2ob2o78b3o21b2o175bo4bo11bo6b2o3b2ob2o3b2o41b2o345b3o74bobo3b4o$
335b2o30b2obobobo91b2o61bobobobobo17b2o111b2ob3ob3ob3ob3ob3ob3o4b2o
101bo4bo74b2o103bo11b3o47bo7b4ob2o90b6o325bobobobobo$335b2o30b2o3b4o
20b5o129bo3bo113b2o10b2obob3o115b2o22bo61bo7b4ob2o96bo5bo22b2ob2o32bo
3bo5b6o90bo5bo326bo3bo$376bob3ob3ob3ob3o2b7o79bo164b2obo10b2ob3o117b2o
16bo5bo59bo3bo5b6o98b6o64bo5b4o97bo$335b2o30b2o3b4o19bob3ob2o76bo3bo
162bo155b6o64bo5b4o126bobobobo31bo4bo100bo4bo344b6o$335b2o30b2obobobo
25b2o33b4o17b2o26bo68b5o88b3o218bo4bo136bo3bo33b5o102b2o255b2o17b2o69b
o5bo$371bo62b6o14b2ob2o20bo4bo56b3o8bo4bo135b6o169b5o538b2o13b4ob2o74b
o$326bo107b4ob2o13b4o22b5o55b5o12bo63b2o69bo5bo727b6o63b2o4bo4bo$324bo
3bo109b2o15b2o83b3ob2o6bo3bo60b4ob2o24bo49bo273b6o449b4o61b3ob2o5b2o$
280b4o17b2o26bo68b5o140b2o9bo62b6o22bo4bo35b2o4bo4bo95b6o172bo5bo514b
5o$279b6o14b2ob2o20bo4bo56b3o8bo4bo215b4o24b2o2bo32b3ob2o5b2o96bo5bo
178bo515b3o$279b4ob2o13b4o22b5o55b5o12bo244b3o33b5o110bo172bo4bo441b4o
$283b2o15b2o83b3ob2o6bo3bo282b3o105bo4bo175b2o442b6o$388b2o9bo209b4o
181b2o621b4ob2o$608b6o807b2o$608b4ob2o$612b2o3$1411b3o$1409b3ob3o28b5o
$1383b4o21b2obobob2o26bo4bo$921bobo458b6o20bo2bobo2bo31bo5b4o$345bo
119bo119bo119bo119bo96b2o21bo119bo119bo119bo76b4ob2o21b2ob2o28bo3bo5b
6o$343b3o117b3o117b3o117b3o117b3o96bo20b3o117b3o117b3o117b3o80b2o22b2o
b2o30bo7b4ob2o$342bo119bo119bo119bo119bo119bo119bo119bo119bo98bo5b2o7b
2o5bo33b2o$335bo6b2o111bo6b2o111bo6b2o111bo6b2o111bo6b2o118b2o118b2o
118b2o118b2o96b6o2b2o5b2o2b6o$334bobo117bobo117bobo117bobo117bobo582bo
3b4ob2o5b2ob4o3bo$335bo119bo119bo119bo119bo584b2o6bo2bobo2bo6b2o$1401b
7ob2o3b2ob7o3bo3bo3bo3bo3bo3bo3bo4bo2bo$340b2o118b2o118b2o118b2o118b2o
118b2o118b2o365bo3bo3bo3bo3bo3bo3bo3bo4bo$340b2o5b2o111b2o5b2o111b2o5b
2o111b2o5b2o111b2o5b2o111b2o5b2o111b2o5b2o118b2o118b2o92b7ob2o3b2ob7o
3bo3bo3bo3bo3bo3bo3bo3bo4bo$347b2o118b2o118b2o118b2o118b2o118b2o118b2o
118b2o118b2o91b2o6bo2bobo2bo6b2o31b5o$554bo844bo3b4ob2o5b2ob4o3bo$552b
obo845b6o2b2o5b2o2b6o$330b2o118b2o101b2o15b2o118b2o709bo5b2o7b2o5bo33b
3o$330b2o118b2o118b2o118b2o718b2ob2o30bo10b5o$1410b2ob2o28bo3bo8b3ob2o
$345b2o118b2o118b2o118b2o118b2o94b2o22b2o118b2o118b2o221bo2bobo2bo31bo
10b2o$345bobo117bobo117bobo117bobo117bobo92bobo22bobo117bobo117bobo
220b2obobob2o26bo4bo$347bo119bo119bo119bo119bo94bo24bo119bo119bo221b3o
b3o28b5o$347b2o118b2o118b2o118b2o118b2o118b2o118b2o118b2o222b3o3$1425b
2o$1423bo4bo$570b4o855bo$449b2o118b6o848bo5bo$449bobo117b4ob2o7bo205b
2o633b6o$450bo122b2o6bo3bo201bo4bo349b2o$586bo206bo346bo4bo$581bo4bo
200bo5bo352bo352b5o$582b5o201b6o346bo5bo247bo103bo4bo$1141b6o247b2o37b
6o64bo5b4o$1393bobo36bo5bo59bo3bo5b6o$863b5o570bo61bo7b4ob2o$582b2o38b
2o238bo4bo111b2o235b5o211bo4bo74b2o$581bobo34b4ob2o172b6o64bo5b4o98b4o
b2o233bo4bo170b2o41b2o$583bo34b6o172bo5bo59bo3bo5b6o97b6o169b6o64bo5b
4o160b3o109bo$619b4o179bo61bo7b4ob2o97b4o169bo5bo59bo3bo5b6o158b3obo
103b3obobo$694b3o96bo2bo4bo74b2o173b3o101bo61bo7b4ob2o156b2o107b3obob
4o4bo2bo$570b2o121b5o94b3o3b2o250b5o94bo4bo74b2o275bo3bo4bo$568bo4bo
54b4o61b3ob2o5b2o85bo64bo128b4o28bo32b3ob2o5b2o88b2o236bo107b3obob4o3b
o4bo$574bo52b6o63b2o4bo4bo83b2ob2o57bobobo18bo107b6o25b4o34b2o4bo4bo
135bo189bobo104b3obobo7b5o$568bo5bo52b4ob2o74bo83bob2o53b5obob4o3bo3bo
3bo5bo105b4ob2o24bo2bo46bo89b2o42bobo2bob2o182b3o109bo$569b6o56b2o49b
2o5bobo10bo5bo84bo66bo3bo3bo3bo6bo108b2o25bo43bo5bo88bo2bo43b4obob2obo
3bo3bo3bo4bo2bo$681bo7bobo11b6o140b5obob4o3bo3bo3bo6bo117bo20bo41b6o
89b2o51bo2bo3bo3bo3bo3bo4bo161b2o116b3o$680bo3bo4bobo161bobobo17b5o
118bo18bobo134bobo44b4obob2obo3bo3bo3bo3bo4bo159bo4bo15b4o24b2o57bo10b
5o$680bo3b2o170bo141bo18bo11bo169bobo2bob2o20b5o165bo13bo3bo21b3ob2o
54bo3bo8b3ob2o$680bobo2bobo329b3o8bobobo121b2o44bo191bo5bo17bo21b5o60b
o10b2o$685bobo70b2o116b3o151b4o359b6o13bo2bo23b3o56bo4bo$699b3o2b2o2b
2o46bo4bo15b4o24b2o57bo10b5o154bob3ob3ob3ob3ob3ob3o2b2o2b2o44b2o116b3o
267b5o$685bobo16bob2ob2o51bo13bo3bo21b3ob2o54bo3bo8b3ob2o149b4o27bob2o
b2o41bo4bo15b4o24b2o57bo10b5o$680bobo2bobo17b5o46bo5bo17bo21b5o60bo10b
2o137b3o8bobobo29b5o48bo13bo3bo21b3ob2o54bo3bo8b3ob2o$680bo3b2o20b3o
48b6o13bo2bo23b3o56bo4bo130bo18bo11bo33b3o43bo5bo17bo21b5o60bo10b2o$
680bo3bo4bobo15bo155b5o130bo18bobo44bo45b6o13bo2bo23b3o56bo4bo$608b2o
71bo7bobo13bo3bo255b2o30bo20bo43bo3bo149b5o$607b4o22b5o44b2o5bobo18bo
253b4o22b5o20bo51bo$591b2o14b2ob2o20bo4bo67bo4bo237b2o14b2ob2o20bo4bo
20bo2bo43bo4bo$587b4ob2o15b2o26bo58b2o8b5o233b4ob2o15b2o26bo20b4o34b2o
8b5o$587b6o39bo3bo56b3ob2o245b6o39bo3bo23bo32b3ob2o$588b4o42bo58b5o
247b4o42bo58b5o$694b3o354b3o34$574b3o354b3o$468b4o42bo58b5o247b4o42bo
58b5o$467b6o39bo3bo56b3ob2o245b6o39bo3bo23bo32b3ob2o$467b4ob2o15b2o26b
o58b2o8b5o233b4ob2o15b2o26bo20b4o34b2o8b5o$471b2o14b2ob2o20bo4bo67bo4b
o237b2o14b2ob2o20bo4bo20bo2bo43bo4bo$487b4o22b5o44b2o5bobo18bo253b4o
22b5o20bo51bo$488b2o71bo7bobo13bo3bo255b2o30bo20bo43bo3bo149b5o$560bo
3bo4bobo15bo155b5o130bo18bobo44bo45b6o13bo2bo23b3o56bo4bo$560bo3b2o20b
3o48b6o13bo2bo23b3o56bo4bo130bo18bo11bo33b3o43bo5bo17bo21b5o60bo10b2o$
560bobo2bobo17b5o46bo5bo17bo21b5o60bo10b2o137b3o8bobobo29b5o48bo13bo3b
o21b3ob2o54bo3bo8b3ob2o$565bobo16bob2ob2o51bo13bo3bo21b3ob2o54bo3bo8b
3ob2o149b4o27bob2ob2o41bo4bo15b4o24b2o57bo10b5o$579b3o2b2o2b2o46bo4bo
15b4o24b2o57bo10b5o154bob3ob3ob3ob3ob3ob3o2b2o2b2o44b2o116b3o267b5o$
565bobo70b2o116b3o151b4o359b6o13bo2bo23b3o56bo4bo$560bobo2bobo329b3o8b
obobo121b2o44bo191bo5bo17bo21b5o60bo10b2o$560bo3b2o170bo141bo18bo11bo
169bobo2bob2o20b5o165bo13bo3bo21b3ob2o54bo3bo8b3ob2o$560bo3bo4bobo161b
obobo17b5o118bo18bobo134bobo44b4obob2obo3bo3bo3bo3bo4bo159bo4bo15b4o
24b2o57bo10b5o$561bo7bobo11b6o140b5obob4o3bo3bo3bo6bo117bo20bo41b6o89b
2o51bo2bo3bo3bo3bo3bo4bo161b2o116b3o$449b6o56b2o49b2o5bobo10bo5bo84bo
66bo3bo3bo3bo6bo108b2o25bo43bo5bo88bo2bo43b4obob2obo3bo3bo3bo4bo2bo$
448bo5bo52b4ob2o74bo83bob2o53b5obob4o3bo3bo3bo5bo105b4ob2o24bo2bo46bo
89b2o42bobo2bob2o182b3o109bo$454bo52b6o63b2o4bo4bo83b2ob2o57bobobo18bo
107b6o25b4o34b2o4bo4bo135bo189bobo104b3obobo7b5o$448bo4bo54b4o61b3ob2o
5b2o85bo64bo128b4o28bo32b3ob2o5b2o88b2o236bo107b3obob4o3bo4bo$450b2o
121b5o94b3o3b2o250b5o94bo4bo74b2o275bo3bo4bo$574b3o96bo2bo4bo74b2o173b
3o101bo61bo7b4ob2o156b2o107b3obob4o4bo2bo$499b4o179bo61bo7b4ob2o97b4o
169bo5bo59bo3bo5b6o158b3obo103b3obobo$463bo34b6o172bo5bo59bo3bo5b6o97b
6o169b6o64bo5b4o160b3o109bo$461bobo34b4ob2o172b6o64bo5b4o98b4ob2o233bo
4bo170b2o41b2o$462b2o38b2o238bo4bo111b2o235b5o211bo4bo74b2o$743b5o570b
o61bo7b4ob2o$1273bobo36bo5bo59bo3bo5b6o$1021b6o247b2o37b6o64bo5b4o$
462b5o201b6o346bo5bo247bo103bo4bo$461bo4bo200bo5bo352bo352b5o$466bo
206bo346bo4bo$453b2o6bo3bo201bo4bo349b2o$449b4ob2o7bo205b2o633b6o$449b
6o848bo5bo$450b4o855bo$1303bo4bo$1305b2o3$467b2o118b2o118b2o118b2o118b
2o118b2o222b3o$467bo119bo119bo94bo24bo119bo119bo221b3ob3o28b5o$465bobo
117bobo117bobo92bobo22bobo117bobo117bobo220b2obobob2o26bo4bo$465b2o
118b2o118b2o94b2o22b2o118b2o118b2o221bo2bobo2bo31bo10b2o$1290b2ob2o28b
o3bo8b3ob2o$450b2o118b2o718b2ob2o30bo10b5o$433b2o15b2o118b2o709bo5b2o
7b2o5bo33b3o$432bobo845b6o2b2o5b2o2b6o$434bo844bo3b4ob2o5b2ob4o3bo$
467b2o118b2o118b2o118b2o118b2o118b2o118b2o91b2o6bo2bobo2bo6b2o31b5o$
460b2o5b2o111b2o5b2o111b2o5b2o111b2o5b2o111b2o5b2o118b2o118b2o92b7ob2o
3b2ob7o3bo3bo3bo3bo3bo3bo3bo3bo4bo$460b2o118b2o118b2o118b2o118b2o365bo
3bo3bo3bo3bo3bo3bo3bo4bo$1281b7ob2o3b2ob7o3bo3bo3bo3bo3bo3bo3bo4bo2bo$
455bo119bo119bo584b2o6bo2bobo2bo6b2o$454bobo117bobo117bobo582bo3b4ob2o
5b2ob4o3bo$455bo6b2o111bo6b2o111bo6b2o118b2o118b2o118b2o118b2o96b6o2b
2o5b2o2b6o$462bo119bo119bo119bo119bo119bo119bo98bo5b2o7b2o5bo33b2o$
463b3o117b3o117b3o96bo20b3o117b3o117b3o117b3o80b2o22b2ob2o30bo7b4ob2o$
465bo119bo119bo96b2o21bo119bo119bo119bo76b4ob2o21b2ob2o28bo3bo5b6o$
801bobo458b6o20bo2bobo2bo31bo5b4o$1263b4o21b2obobob2o26bo4bo$1289b3ob
3o28b5o$1291b3o3$492b2o$242b3o243b4ob2o$31bo104b4o42bo58b5o242b6o807b
2o$32bob2obobo95b6o39bo3bo56b3ob2o242b4o181b2o621b4ob2o$26b3o3b4o3bo
95b4ob2o15b2o26bo58b2o8b5o305b3o105bo4bo175b2o442b6o$32bo2b2ob2o99b2o
14b2ob2o20bo4bo67bo4bo138b3o127b3o33b5o110bo172bo4bo441b4o$31bo123b4o
22b5o6b2o18bo45bo32b4o42bo58b5o97b4o24b2o2bo32b3ob2o5b2o96bo5bo178bo
515b3o$29b3o124b2o33bo19b5o37bo3bo32b6o39bo3bo56b3ob2o95b6o22bo4bo35b
2o4bo4bo95b6o172bo5bo514b5o$29b3o17b2o141b2o20b2o39bo34b4ob2o15b2o26bo
58b2o8b5o83b4ob2o24bo49bo273b6o449b4o61b3ob2o5b2o$49bo142bo19bobob4o
34b3o37b2o14b2ob2o20bo4bo67bo4bo87b2o69bo5bo727b6o63b2o4bo4bo$191bo18b
obo3b2ob3o31b5o52b4o22b5o72bo159b6o169b5o538b2o13b4ob2o74bo$191bo19b3o
2bo3b4o28bob2ob2o52b2o95bo3bo113b3o218bo4bo136bo3bo33b5o102b2o255b2o
17b2o69bo5bo$14bo205bo3b2ob3ob3ob3ob3ob3ob3o2b2o2b2o152bo115bo155b6o
64bo5b4o126bobobobo31bo4bo100bo4bo344b6o$14bo176bo19b3o2bo3b4o185b3o
114b2obo10b2ob3o117b2o16bo5bo59bo3bo5b6o98b6o64bo5b4o97bo$14bo176bo18b
obo3b2ob3o125b2o27bobobob3o23b5o115b2o10b2obob3o115b2o22bo61bo7b4ob2o
96bo5bo22b2ob2o32bo3bo5b6o90bo5bo326bo3bo$17b2o173bo19bobob4o127b2o30b
2obob3o20bob2ob2o134b2ob3ob3ob3ob3ob3ob3o4b2o101bo4bo74b2o103bo11b3o
47bo7b4ob2o90b6o325bobobobobo$17b2o38b2o133b2o20b2o171b2ob3ob3ob3ob3o
2b2o2b2o115b2o10b2obob3o28b2ob2o78b3o21b2o175bo4bo11bo6b2o3b2ob2o3b2o
41b2o345b3o74bobo3b4o$12bo3b3o38bo133bo19b5o35b6o90b2o30b2obob3o139b2o
bo10b2ob3o30b4o78bo3bo82bo38b2o76b2o20b2o11b3o387bo2bo83bob3ob3o4b2o$
13b3o163b2o11b2o18bo37bo5bo90b2o27bobobob3o141bo49b3o78bo5bo77b3o2bob
2o11bo23b2o97b2obo2bobo2bob4o2b2o203b5o251bobo3b4o11b2ob2o$14bo160b4ob
2o74bo269b3o48bo79bo5bo77b3ob2ob2o3bo3bo5bo20bo91bob4o3bo11bo2bo4b2o
123b2obo73bo4bo115b3o57b2o74bobobobobo12b4o$13b2o160b6o63b2o4bo4bo222b
2o95bo3bo77bo5bo86bo2bo3bo6bo112bo2b2o4b3o5b3o6bob2o3bo3bo3bo3bo3bo3bo
3bo4bo2bo86bo3bo8b6o64bo5b4o106bo136bo3bo15b3o$13b3o160b4o61b3ob2o5b2o
152b6o65b4o22b5o72bo77bo3bo78b3ob2ob2o3bo3bo6bo142bo2bo3bo3bo3bo3bo3bo
3bo3bo4bo85bo3bo7bo5bo59bo3bo5b6o18b2o86bo156bo$15bo8bo216b5o88b2o69bo
5bo49b2o14b2ob2o20bo4bo20bo46bo4bo78b3o79b3o2bob2o10b5o112bo2b2o4b3o5b
3o6bob2o3bo3bo3bo3bo3bo3bo3bo3bo4bo85bo2bo14bo61bo7b4ob2o18b2o143b2o
95bo3bo$13bo8b2ob2o215b3o85b4ob2o74bo45b4ob2o15b2o26bo17bo4bo35b2o8b5o
164bo130bob4o3bo11bo2bo4b2o32b5o85b3o9bo4bo74b2o18bo144b4o22b5o72bo$
15bo9b2o7bo30b2o100b4o159b6o63b2o4bo4bo46b6o39bo3bo19b2o2bo32b3ob2o
315b2obo2bobo2bob4o2b2o122b2o14b2o225b2o14b2ob2o20bo4bo67bo4bo$13b3o6b
3o10b2o28bo100b6o159b4o61b3ob2o5b2o49b4o42bo22b3o33b5o75b2o116b3o120b
2o11b3o127b2ob2o66bo167b4ob2o15b2o26bo58b2o8b5o$24bo3bo5b2o130b4ob2o
223b5o163b3o74bo4bo15b4o24b2o57bo10b5o57b2o53bo6b2o3b2ob2o3b2o41b3o85b
3o66bobo2bob2o15bo144b6o39bo3bo56b3ob2o$23bo3bo142b2o225b3o247bo13bo3b
o21b3ob2o54bo3bo8b3ob2o54bo4bo15b4o24b2o7b3o47bo10b5o155b4obob2obo3bo
3bo5bo143b4o42bo58b5o$5bo18b3obo293b4o315bo5bo17bo21b5o60bo10b2o61bo
13bo3bo21b3ob2o17b2ob2o32bo3bo8b3ob2o161bo2bo3bo3bo6bo248b3o$6bob2obob
o12b2o293b6o315b6o13bo2bo23b3o56bo4bo67bo5bo17bo21b5o60bo10b2o155b4obo
b2obo3bo3bo6bo$3o3b4o3bo11bobo293b4ob2o420b5o68b6o13bo2bo23b3o18bobobo
bo31bo4bo165bobo2bob2o14b5o$6bo2b2ob2o12bo26b2o2bo267b2o562bo3bo33b5o
166bo$5bo19b2o29bobo$3b3o20bo28bo947b2o116b3o$3b3o21bo973bo4bo15b4o24b
2o57bo10b5o$57b2o948bo13bo3bo21b3ob2o54bo3bo8b3ob2o$1001bo5bo17bo21b5o
60bo10b2o$58b2o942b6o13bo2bo23b3o56bo4bo207b2o$57bo305b3o742b5o205bo4b
o$55b2ob2o302b5o957bo$58b2o302b3ob2o950bo5bo$43bo12bo308b2o8b5o465b6o
468b6o$43bo330bo4bo464bo5bo483b2o$45bo5bo327bo470bo349b6o125b3ob2o$44b
o6bobo320bo3bo465bo4bo71bo277bo5bo125b5o$43bo3bo2bo325bo469b2o71bo3bo
281bo126b3o$3b2o39bo2bobob2o295b3ob2o21b3o477b2o67bo274bo4bo71bo$3bo
45bob2o292b3o4b2o20b5o474bo4bo60bo4bo276b2o71bo3bo$346bob3ob2o19bob2ob
2o479bo60b5o285b2o67bo88b6o$364b3ob3o2b2o2b2o474bo5bo73b2o273bo4bo60bo
4bo87bo5bo$346bob3ob2o500b6o69b4ob2o278bo17bo42b5o93bo$345b3o4b2o575b
6o273bo5bo17bo55b2o77bo4bo71bo$348b3ob2o520b2o54b4o275b6o69b4ob2o78b2o
71bo3bo$871b2ob2o26bo329bob3o47b6o88b2o67bo$11b2o359b6o495b2obob2o18b
3o2bob2o323b2o2b3o48b4o87bo4bo60bo4bo$11bo289b6o64bo5bo497b2ob2o18b3ob
2ob2o3bo3bo3bo3bo3bo303b2o4b2o19bo64b2o58bo60b5o$300bo5bo70bo529bo2bo
3bo3bo3bo3bo3b7o294bo3b2o15b3obobo59b4ob2o51bo5bo73b2o$27b2o2bo274bo
58b2o4bo4bo498b2ob2o18b3ob2ob2o3bo3bo3bo3bo3bo3bo5bo315b3obob4o3bo3bo
3bo3bo3bo36b6o53b6o69b4ob2o$30bobo140b2o125bo4bo56b3ob2o5b2o498b2obob
2o18b3o2bob2o29bo324bo3bo3bo3bo3bo3bo3b7o27b4o129b6o$29bo139b4ob2o126b
2o58b5o504b2ob2o26bo28bo3bo316b3obob4o3bo3bo3bo3bo3bo3bo5bo161b4o$169b
6o188b3o508b2o57bo297bo3b2o15b3obobo32bo$31b2o137b4o659bo2bo23b3o367b
2o4b2o19bo28bo3bo89b2o46bo3bob2o$19b2o224b3o589bo21b5o71b2o293b2o2b3o
51bo91b2o46bob3obob2obo3bo3bo3bo$19bo12b2o210b5o565b6o13bo3bo21b3ob2o
67b3ob2o250bo2bo23b3o14bob3o143bobo53bo2bo3bo3bo3bo4b4o$31bo147b4o61b
3ob2o5b2o556bo5bo14b4o24b2o56b5o7b5o255bo21b5o71b2o136bob3obob2obo3bo
3bo3bo3bo3bo$29b2ob2o144b6o63b2o4bo4bo78b6o476bo99bo4bo8b3o233b6o13bo
3bo21b3ob2o12bo54b3ob2o135bo3bob2o18bo4bo$32b2o144b4ob2o74bo76bo5bo
470bo4bo105bo243bo5bo14b4o24b2o13bo42b5o7b5o166bo$30bo151b2o11b2o18bo
37bo5bo82bo472b2o102bo3bo250bo99bo4bo8b3o165bo$194bo19b5o35b6o76bo4bo
71bo507bo246bo4bo105bo76bo2bo23b3o$195b2o20b2o119b2o71bo3bo754b2o102bo
3bo81bo21b5o71b2o$27b2o166bo19bobob4o124b2o67bo859bo60b6o13bo3bo21b3ob
2o67b3ob2o$27bo166bo18bobo3b2ob3o120bo4bo60bo4bo919bo5bo14b4o24b2o56b
5o7b5o$194bo19b3o2bo3b4o124bo60b5o925bo99bo4bo8b3o$223bo3b2ob3ob3ob3ob
3ob3ob3o2b2o2b2o71b2o11bo5bo73b2o909bo4bo105bo$194bo19b3o2bo3b4o28bob
2ob2o70bo13b6o69b4ob2o910b2o102bo3bo$194bo18bobo3b2ob3o31b5o160b6o
1017bo$195bo19bobob4o34b3o74bo87b4o$195b2o20b2o39bo72bo$159b2o33bo19b
5o37bo3bo142bo3bob2o$158b4o22b5o6b2o18bo45bo66b6o69bob3obob2obo3bo$
142b2o14b2ob2o20bo4bo67bo4bo67b3o79bo2bo3bo3b7o$138b4ob2o15b2o26bo58b
2o8b5o68bo72bob3obob2obo3bo3bo5bo$138b6o39bo3bo56b3ob2o153bo3bob2o17bo
$139b4o42bo58b5o174bo3bo$245b3o177bo$122bo202bo2bo23b3o$121bobo205bo
21b5o71b2o$121b2obo7b2o172b6o13bo3bo21b3ob2o67b3ob2o$121b2ob2o6bobo
170bo5bo14b4o24b2o56b5o7b5o$121b2obob3o6bo175bo99bo4bo8b3o$111b2o8bobo
2bo2bo2bo2bo8bo160bo4bo105bo$110bobo9bo4b2o6bo7b2o162b2o102bo3bo$110bo
21bobo278bo$109b2o21b2o6$93b2o15bo$94bo15bo$110bo2$81bo22b2o$81bobo20b
o$70b2o12b2o9b2o5bobo20bobo$70bo13b2o9bo6b2o19bo3bo$84b2o6b2o17b2o10bo
12b2o$81bobo7b3o17bo2bo7bo14bo$81bo10b2o21bo7bo$95bo19bo7bo3bo$95b2o
18bo9bobo$104b2o5bo2bo$103bobo5b2o$103bo$102b2o!


I tweaked the design a little bit to make it faster (it's still quite slow, unfortunately).
There are 10 types of people in the world: those who understand binary and those who don't.
User avatar
Alexey_Nigin
 
Posts: 323
Joined: August 4th, 2014, 12:33 pm
Location: Ann Arbor, MI

Re: t log log t? (Complete!)

Postby biggiemac » May 27th, 2015, 12:43 pm

Nice! Hyperspeed easily handles it so its magnificent slowness is observable. The 6th switch engine fires at around generation 10^40, and the 7th around 10^79.

It looks like only half the switch engine constellations are actually used.. Would it be feasible to build them closer together vertically? Or to double the puffer period?
Physics: sophistication from simplicity.
User avatar
biggiemac
 
Posts: 504
Joined: September 17th, 2014, 12:21 am
Location: California, USA

Re: t log log t? (Complete!)

Postby Alexey_Nigin » May 27th, 2015, 1:57 pm

Brett Berger wrote:It looks like only half the switch engine constellations are actually used.


And also only half of semi-snarks.

Brett Berger wrote:Would it be feasible to build them closer together vertically?


It is very convenient that two rakes neatly fit side-by-side between rows of semi-snarks. Of course, everything can be constructed from the outside, but why should we complicate things?

Brett Berger wrote:Or to double the puffer period?


I have seen c/2 period doublers in jslife, but again, why to complicate?
There are 10 types of people in the world: those who understand binary and those who don't.
User avatar
Alexey_Nigin
 
Posts: 323
Joined: August 4th, 2014, 12:33 pm
Location: Ann Arbor, MI

Re: t log log t? (Complete!)

Postby simsim314 » May 27th, 2015, 2:34 pm

Congrats, and well done!
User avatar
simsim314
 
Posts: 1696
Joined: February 10th, 2014, 1:27 pm

Re: t log log t? (Complete!)

Postby Kazyan » May 27th, 2015, 4:02 pm

Whoa, this is kind of genius, looking at it in action. Great job.
Tanner Jacobi
User avatar
Kazyan
 
Posts: 843
Joined: February 6th, 2014, 11:02 pm

Re: t log log t? (Complete!)

Postby Kiran » May 27th, 2015, 9:41 pm

Nice, I expected it to take longer then three days!
By the way, why does nobody seem interested in my log(log(...log(log(t))...)) growth idea?
Is it impossibly difficult, or is it too unimportant?
Kiran Linsuain
User avatar
Kiran
 
Posts: 284
Joined: March 4th, 2015, 6:48 pm

Re: t log log t? (Complete!)

Postby Kiran » January 9th, 2016, 2:24 pm

Would it be practical to build the semi-snarks in the set configuration? This would make it a lot faster but (I think) still O(t log(log(t))).
Kiran Linsuain
User avatar
Kiran
 
Posts: 284
Joined: March 4th, 2015, 6:48 pm


Return to Patterns

Who is online

Users browsing this forum: No registered users and 5 guests