B3/S345

For discussion of other cellular automata.
hought99
Posts: 39
Joined: October 8th, 2014, 9:02 pm

Re: B3/S345

Post by hought99 » October 12th, 2017, 8:36 pm

could someone help me find a period for these?

Code: Select all

x = 117, y = 41, rule = B3/S345
11$62bo17bo$62b2o15b2o$62b2o15b2o$60bobo2bo11bo2bobo$58b8ob3o3b3ob8o$
14b2o15b2o25b2o5b3obo3bob3o5b2o$14b2o15b2o27b6o2b3ob3o2b6o$12bobo3bobo
5bobo3bobo25b2obo3b2o5b2o3bob2o$10b8ob2o5b2ob8o31b2o3b2o$10b2o5b3obo3b
ob3o5b2o29bobobobobobo$12b6o2b2o3b2o2b6o29b7ob7o$12b2obobob2o5b2obobob
2o29b2obob2ob2obob2o$17b2ob2o3b2ob2o35bobo2bobo2bobo$17b2obo5bob2o35b
6ob6o$16b2ob3o3b3ob2o35bo3bobo3bo$17bobobo3bobobo35b2ob2o3b2ob2o$17bo
3bo3bo3bo35bob2o5b2obo$16b2ob4ob4ob2o35bobo5bobo$16b3o2bo3bo2b3o34b2ob
2o3b2ob2o$18b2ob2ob2ob2o37bobo5bobo$18b2ob2ob2ob2o36b2ob2o3b2ob2o$65b
2ob2o3b2ob2o!

User avatar
Macbi
Posts: 903
Joined: March 29th, 2009, 4:58 am

Re: B3/S345

Post by Macbi » October 12th, 2017, 8:48 pm

You can do this in Golly by running the script called "oscar". They have periods 300 and 932.

User avatar
BlinkerSpawn
Posts: 1992
Joined: November 8th, 2014, 8:48 pm
Location: Getting a snacker from R-Bee's

Re: B3/S345

Post by BlinkerSpawn » October 13th, 2017, 8:54 am

Reductions:

Code: Select all

x = 61, y = 20, rule = B3/S345
3b3o15b3o13b3o15b3o$4b3o13b3o15b3o13b3o$2bobo17bobo11bobo17bobo$8ob2o
5b2ob8o7b8ob2o5b2ob8o$2o2bobob2obo3bob3o2bo2b2o7b2o2bo2b3obo3bob3o2bo
2b2o$10b2o3b2o27b2o3b2o$10bo5b2o25b2o5b2o$7b2ob2o3b2obo25b2o3b2o$7b2ob
o5bob3o23bo5bo$6b2ob2o5b2ob2o22b2o5b2o$7bobo7bobo23bo7bo$7bo2bo5bo2bo
22b3o5b3o$6b2ob4ob4ob2o22b2o5b2o$6b3o2bo3bo2b3o21bo9bo$8b2ob2ob2ob2o
21b3ob2o3b2ob3o$8b2ob2ob2ob2o21b2ob4ob4ob2o$44bo5bo$44b2o3b2o$43b2o5b
2o$43b2o5b2o!
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

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hought99
Posts: 39
Joined: October 8th, 2014, 9:02 pm

Re: B3/S345

Post by hought99 » November 9th, 2017, 1:46 am

here is a neat example of chaos in life

Code: Select all

x = 49, y = 57, rule = B3/S345
6$22b2o2bo2b2o$21bob7obo$21b2o2bobo2b2o$19b2obob2ob2obob2o$4bo2b2o9bob
6ob6obo$4bo2bo10b2obo9bob2o$4bo3bo10bob2o7b2obo$4bo2b2o9b2obo9bob2o$
18bob6ob6obo$19b2obob2ob2obob2o$21b2o2bobo2b2o$21bob7obo$22b2o2bo2b2o
8$22b2o2bo2b2o$21bob7obo$21b2obo3bob2o$19b2obob2ob2obob2o$5b2o4b2o5bob
6ob6obo$6bo4bo6b2obo9bob2o$5bo5b2o6bob2o7b2obo$6bo4b2o5b2obo9bob2o$5b
2o11bob6ob6obo$19b2obob2ob2obob2o$21b2o2bobo2b2o$21bob7obo$22b2o2bo2b
2o!

hought99
Posts: 39
Joined: October 8th, 2014, 9:02 pm

Re: B3/S345

Post by hought99 » December 7th, 2017, 1:39 am

some high period oscillators

Code: Select all

x = 1457, y = 623, rule = B3/S345
89$1273bo3bo3b2o21bo3b2o2bobo$1273bo3bo2bo2bo20bo3bo3b3o$1157b2o4bo30b
2o4bobo30b2o4b2o32bo3bo2bo2bo20bo4bo4bo$1156bo2bo3bo29bo2bo3b3o30b2o3b
o2bo31bo3bo3b2o21bo3b2o4bo$1157b2o4bo30b2o6bo31bo3bo2bo$1156bo2bo3bo
29bo2bo5bo30b2o4b2o$1157b2o35b2o2$1306b2ob2o$1194b2ob2ob2ob2o101b2ob2o
$1194b2ob2ob2ob2o99b2obobob2o$1195bob2ob2obo100b3o3b3o$1195b2obobob2o
70b2ob2ob2ob2o17b2obo5bob2o$1196b3ob3o71b2ob2ob2ob2o17b4o5b4o$1196bobo
bobo72bo2bobo2bo20bobo3bobo$1195b4ob4o32b2ob2o31b7ob7o17b2o5b2o$1115b
3o3b2o72bo2bobo2bo32b2ob2o31b2obo2bobo2bob2o16b2o2bobo2b2o$1086b3o3b2o
21bobo3bo72b4o3b4o29b2obobob2o28b2o2bob2ob2obo2b2o16bob2ob2obo$1086bob
o3bo24bo3b2o71bo2b2ob2o2bo29b4ob4o29bob2o2bobo2b2obo16b2o2bobo2b2o$
1060b3o3bobo19bo4bo23bo3b2o70b2ob2o3b2ob2o27b2o2bobo2b2o27b2obo9bob2o
16bob2ob2obo$981b2o3bo19b2o3b2o17b2o3bobo22bobo3b3o19bo3b2o59b2o17b2o
20bo2b2ob2o2bo28bob3ob3obo27b6o5b6o15b2o2bobo2b2o$981bo4bo19bo5bo17bo
4b3o24bo5bo84b4ob2ob2ob2ob2ob4o20b4o3b4o29bob2ob2obo61bob2ob2obo$949b
2o3b2o25b2o3bo19b2o3bo18b2o5bo24bo5bo83b2o2b4ob2ob2ob4o2b2o20bob2ob2ob
o29b2obo3bob2o25b3ob3o7b3ob3o13b2ob2ob2ob2o$915b2o4b2o26bo3bo2bo24b2o
3bo19b2o3b2o17b2o5bo114bob3o2bob2ob2obo2b3obo20bo2bobo2bo25b2obobob2ob
2obobob2o21b6o9b6o14b4ob4o$646bobo3b2o261bo4bo2bo25b2o2bo2bo193b2ob2ob
4ob2ob2ob4ob2ob2o17b2ob2ob2ob2o22b3ob4ob2ob2ob4ob3o53b2o7b2o$554bobo3b
o85b3o3bo15bobo179b2o3b2o20b2o3b3o31bo4b2o26b2o3b2o194b3obobobobobobob
obobobob3o18bobo3bobo23b2o2bo4b2ob2o4bo2b2o19b6o9b6o14b4ob4o$554b3o3bo
19bobo2b2o19b2o16bobo3bobo15bo4bo14b3o4b2o147b2o3bobo18bo4bo21bo4bobo
30b2o3bo2bo229b2obobobobobobobobob2o20b2ob2ob2ob2o23bobob2o2bo3bo2b2ob
obo20b3ob3o7b3ob3o13b2ob2ob2ob2o$195b2o3b2o245b2o2b3o21b2o3b2o74bo3bo
19b3o3bo14bobo3bo16b3o3b3o15bo3b2o16bo4bo148bo4b3o19bo3b2o21bo5bo36b2o
227b2obob2o2bob2ob2obo2b2obob2o18bobo3bobo24b5o11b5o55bob2ob2obo$196bo
2bo2bo75b2o2b2o101b2o3b2o23b2o31bo2bobo22bo2bo2bo73bo3bo21bo2bo15b3o2b
o19bo5bo37bo4b2o148bo5bo18b2o3b2o20b2o5bo94b2ob2ob2ob2o129b2o3b2o24b3o
2b8ob8o2b3o18bob2ob2obo23b2o19b2o21b6o5b6o15b2o2bobo2b2o$195bo3bo2bo
76bo3bo102bo3bo25bo3b2o25bo5bo21bo4b2o22b2o3b2o71bo2b2o16bo3bo18bo5bo
42b2o40bobo4b2o19b2o2b2o17b2o3bo50b2o5bo147b2ob2ob2ob2o73bo55b2o3b2o
68b4o3b4o23b5o11b5o22b2obo9bob2o16bob2ob2obo$196bo2bo2bo75bo3bo71b2o3b
obo23bo5bo23bo4bo27bo4bo22bo2bo2bo22bo3b2o15bobo2b2o70bo2b2o109b3o3bo
2bo18bo2bo2bo16bo4bo21b2o3b2o178b2obobob2o16b2ob2ob2ob2o17b2o5b2o19b5o
24b2ob2o23b2o5b2o23b3o2b8ob8o2b3o17bo2b2ob2o2bo23bobob2o2bo3bo2b2obobo
23bob2o2bobo2b2obo16b2o2bobo2b2o$195b2o3b2o45b2o3bo26bo2b2o71bo3b3o24b
o3b2o24bo3b2o25b2o26b2o3b2o22bo5bo15b3obo2bo159bobo2b3o18bo4b2o20bobo
2bo17bo3bo21bo5bo177b2ob2ob2ob2o15b2ob2ob2ob2o13b2o2b2o5b2o2b2o14bobob
obo19b2o2b2ob2o2b2o15b2obob2o3b2obob2o19b2obob2o2bob2ob2obo2b2obob2o
16b2ob2o3b2ob2o21b2o2bo4b2ob2o4bo2b2o21b2o2bob2ob2obo2b2o16bob2ob2obo$
248bo3bo25b2o21b2o3b2o46bo6bo23b2o28b2o3b2o83bo3b2o17bobo2bo159b3o2bob
o18bo3bo2bo18b2o2b2o17b2o3bo22bo3bo178bo2bo3bo2bo14b2obobobobob2o12b4o
b2o3b2ob4o14b2o3b2o19b2o3bobo3b2o15b4obobobobob4o22b2obobobobobobobobo
b2o20bo2b2ob2o2bo22b3ob4ob2ob2ob4ob3o22b2obo2bobo2bob2o16b2o2bobo2b2o$
247bo4bo49bo4bo47bo5bo142b2o22bo2b2o162bo4bo23b2o69b2o3b2o175b2ob3o3b
3ob2o13bob2o3b2obo14bobobo5bobobo14b2obobob2o17b2ob4ob4ob2o16bo2b2o3b
2o2bo21b3obobobobobobobobobobob3o17b4o3b4o24b2obobob2ob2obobob2o24b7ob
7o17b2o5b2o$248bo3bo48bo4bo47b2o339bo4bo151b2o3b2o57b2ob2ob2ob2o50b4o
7b4o12b4o5b4o12b2ob4o3b4ob2o14b2o3b2o13bobobobobob2ob2obobobobobo9b2ob
2ob2ob2ob2ob2o19b2ob2ob4ob2ob2ob4ob2ob2o18bo2bobo2bo29b2obo3bob2o31bo
2bobo2bo20bobo3bobo$247b2o53bo4bo140b2o5b2o126bo85b2o3b2o176b2o3b2o57b
2ob2ob2ob2o20bo17bo10b2o2bo7bo2b2o11bo2bo5bo2bo13b2o3bo3bo3b2o14bob2ob
2obo10b6obo2bobo3bobo2bob6o7b4obo5bob4o21bob3o2bob2ob2obo2b3obo20b4ob
4o30bob2ob2obo31b2ob2ob2ob2o17b4o5b4o$301b2o3b2o140b2o5b2o101b2o3b2o
18b3o18b2ob2o39b2o5b2o12b2o3b2o149b2o5b2o19b2ob2o19b2ob2ob2ob2o29bob2o
b2obo21b3o13b3o11bobo9bobo13bob2o3b2obo13bob5o3b5obo13b2o5b2o10b2o2bob
5ob2ob2ob5obo2b2o10bob2o3b2obo24b2o2b4ob2ob2ob4o2b2o21bobobobo30bob3ob
3obo30b2ob2ob2ob2o17b2obo5bob2o$449b2o3b2o22b2ob2o75b2o3b2o15b4obo18b
2ob2o39b2o5b2o11b2o5b2o148b2o5b2o19bo3bo19b2ob2ob2ob2o28b2o2bobo2b2o
19b3o2bo9bo2b3o10b4o7b4o12b2obo5bob2o12b2ob3o5b3ob2o14b2o3b2o16b2obo2b
2o3b2o2bob2o12b2o3bo5bo3b2o22b4ob2ob2ob2ob2ob4o22b3ob3o30b2o2bobo2b2o
60b3o3b3o$197b2ob2ob2ob2o66b2o9b2o161b2o5b2o21b2ob2o74b2o5b2o15bo2b3o
11b2o5bobo5b2o10b2ob2ob2ob2o10b2ob2o3b2ob2o8bobo5bobo41b2o5b2o95b2ob2o
3b2ob2o16b2o3b2o19bob2ob2obo29bob2o3b2obo16b2o3bob2o9b2obo3b2o6b2o13b
2o12bobo5bobo14bobo9bobo15bobobobo16bo3bo9bo3bo12b3obo7bob3o22b2o17b2o
21b2obobob2o30b4ob4o61b2obobob2o$197b2ob2ob2ob2o66b2o9b2o162b2o3b2o19b
2ob2ob2ob2o20bobo20b2ob2o24bo5bo15b2o2bo13b2o2b3o3b3o2b2o10b2ob2ob2ob
2o10b2obo5bob2o6b6o3b6o13b2ob2ob2ob2o15b2o5b2o95b2obo5bob2o16bo5bo18b
2o2bobo2b2o27b5o3b5o15b8obo7bob8o7b4o7b4o12b2ob2o3b2ob2o12b2ob3o5b3ob
2o13b4ob4o127bob2ob2obo30b2obobob2o63b2ob2o$198bob2ob2obo68b2obobobob
2o128b2ob2o5b2ob2o20bo5bo19b3o5b3o18b7o18b2ob2o24b2o3b2o14b2ob4o14b3ob
o3bob3o13bo2bobo2bo14bo5bo9b2o4bobo4b2o13b2ob2ob2ob2o13b2ob2o3b2ob2o
36b2o2bo2bo2bo2b2o16b2o2bo2b2o15b2obob3ob3obob2o13b2o5b2o17bob2o3b2obo
21b2o2b3obo7bob3o2b2o11b2o2bob2o7b2obo2b2o9bobo9bobo13b2o2bobo2b2o13bo
b5o3b5obo13bob2ob2obo15bo3bo9bo3bo12b3obo7bob3o63b2ob2ob2ob2o31b2ob2o
65b2ob2o$197bobobobobobo38b2o2b2ob2o2b2o15b2ob7ob2o67b2o7b2o20b2o9b2o
16b2ob2o5b2ob2o19b2o5b2o22bobo22b2o3b2o15b2ob2ob2ob2o18b2obo5bob2o13b
2obo11b3obobo7bobob3o7bob4ob4obo9b5o3b5o8b5ob5o13b3obo5bob3o10bob3o5b
3obo35b15o12b2obob7obob2o11b5ob2ob2ob5o13bo7bo16b2obo5bob2o20b5obo11bo
b5o15b2ob4ob4ob2o12b2o2bo7bo2b2o11bo3b2ob2o3bo13b2o3bo3bo3b2o13b2o2bob
o2b2o14b2obo2b2o3b2o2bob2o12b2o3bo5bo3b2o63b2ob2ob2ob2o31b2ob2o$197b5o
b5o38b2o2b2ob2o2b2o16bobobobobobo15b2o5b2o44b2o7b2o20b2o9b2o14b2obo2b
2o3b2o2bob2o13b2o2bo7bo2b2o12b5o5b5o14b2o2b3o2b2o13b3o5b3o18b2obo5bob
2o12b2o2b2o10b5ob2o5b2ob5o5b4o2b2ob2o2b4o7b2obo5bob2o6b2obo2bobo2bob2o
11b2ob2o5b2ob2o10b2o2bo5bo2b2o11b2ob2ob2ob2o11b2obobo2bobo2bobob2o10b
6obobob6o13bo2b3ob3o2bo13b2ob2o3b2ob2o10b2o2bo2bo5bo2bo2b2o18bob3o2b3o
b3o2b3obo18b3o2bobo2b3o14b4o7b4o12b4obobob4o12b2ob4o3b4ob2o13b4ob4o10b
2o2bob5ob2ob2ob5obo2b2o10bob2o3b2obo$198bob2ob2obo40b2obo3bob2o16b6ob
6o14b2o5b2o45bob2ob2obo22b2o7b2o15b3obobo5bobob3o13b7o3b7o12b2obo2bobo
2bob2o13bob4ob4obo14bo5bo21b4o3b4o14b2obo17bobo3bobo11b2ob3o5b3ob2o5b
2obob2o3b2obob2o4b4obo3bob4o12bobobo3bobobo9b2ob4o5b4ob2o9b2ob2ob2ob2o
11b4ob4ob4ob4o9b2o5b2ob2o5b2o12b5o3b5o13b6ob6o10b4ob4o3b4ob4o20bo4b3ob
3o4bo20bo2b3ob3o2bo14b2ob3o3b3ob2o13bob3ob3obo14bobobo5bobobo13bo3bobo
3bo9b6obo2bobo3bobo2bob6o7b4obo5bob4o$198bob2ob2obo40bo2b2ob2o2bo15bo
2bo7bo2bo11b2ob2o3b2ob2o43bob2ob2obo22bo9bo22b2ob2o21bobo2bo3bo2bobo
16b2o5b2o16b2o3bobo3b2o10b6o3b6o17bo3bobo3bo12b2ob4o10b6o2b2ob2o2b6o7b
o2b2o3b2o2bo7b7o3b7o8bobobobo15b2ob4ob4ob2o8b4ob2o5b2ob4o10bo7bo15bob
3o3b3obo13b2obo2bo3bo2bob2o14bobo5bobo15bo3bobo3bo14bobo9bobo61b2o2bob
o2b2o17bo2bo3bo2bo14b2obobobobob2o12b4ob2o3b2ob4o12b3obobob3o11bobobob
obob2ob2obobobobobo9b2ob2ob2ob2ob2ob2o63b2o2b2ob2o2b2o$197b2o2bobo2b2o
38b6ob6o14b3obo5bob3o11b2ob2o3b2ob2o42b2o7b2o20b2o9b2o16b5o5b5o15b2obo
b2o3b2obob2o15bo2bobo2bo17b2o7b2o11b2obo7bob2o15b6o3b6o11b2o2bo11b4o4b
2ob2o4b4o5b4o9b4o11b2ob2o10b2ob2o5b2ob2o11b4ob2ob2ob4o12b2o7b2o13b2o7b
2o11b2obo11bob2o10bobobobo3bobobobo14b2o7b2o15b3obobob3o11b3o2bobo5bob
o2b3o20bo4b3ob3o4bo22bo2bobo2bo18b2ob2ob2ob2o15b2ob2ob2ob2o13b2o2b2o5b
2o2b2o13bob2ob2obo17b2ob4ob4ob2o16bo2b2o3b2o2bo65b6ob6o$198bob2ob2obo
40bo9bo14b2obo2bo3bo2bob2o9b2ob2obobob2ob2o40bob3o3b3obo20b4o3b4o17b4o
7b4o16b5obobob5o14b5o3b5o14b2obo5bob2o13b4ob4o18b2obob2ob2obob2o12bo2b
3o35b2o2bo7bo2b2o5b3obo2bobo2bob3o4b4o7b4o13bo2b2ob2o2bo10b6o7b6o9bo9b
o11b4o11b4o9b2ob5o3b5ob2o14bo7bo17bob2ob2obo12b9o3b9o18bob3o2b3ob3o2b
3obo19b2ob2ob2ob2o18b2obobob2o16b2ob2ob2ob2o17b2o5b2o17bobo3bobo18b2o
3bobo3b2o15b4obobobobob4o65bo7bo$198bo2bobo2bo40b4o3b4o15bobob2o3b2obo
bo11b2o2b2ob2o2b2o41b2ob2o3b2ob2o20bob2o3b2obo48bo3b2o3b2o3bo14b2obobo
bobob2o15bobo5bobo14bo2bobo2bo19bo2bobobobo2bo12b4obo10b4o4b2ob2o4b4o
27b8ob8o32b3obobob3o10b3o13b3o10bo7bo40b4obo7bob4o14b2o5b2o17bobo3bobo
49b5obo11bob5o17b2ob2ob2ob2o17b2ob2ob2ob2o68b2ob2ob2ob2o17b2o2b2ob2o2b
2o15b2obob2o3b2obob2o65b2o5b2o$197b2ob2ob2ob2o40bo7bo16b2obo2bobo2bob
2o10b2ob2obobob2ob2o41bob2o3b2obo19b4obo3bob4o15b4o7b4o15b6o5b6o17b5o
19b3o5b3o13b2ob2ob2ob2o17b2o2b3ob3o2b2o14b3o10b6o2b2ob2o2b6o5b2o2bo7bo
2b2o26b4o7b4o14bob2ob2obo39b2o7b2o11b4o11b4o41b2o7b2o15b2ob2ob2ob2o11b
9o3b9o16b2o2b3obo7bob3o2b2o45b2ob2ob2ob2o68b2ob2ob2ob2o21b2ob2o23b2o5b
2o68b2o7b2o$197b2ob2ob2ob2o40bo7bo17bob9obo12b3ob2ob2ob3o41b5o3b5o18b
2obo7bob2o15b5o5b5o15b2obob2o3b2obob2o19bo22bo7bo14b2ob2ob2ob2o17b3o2b
o3bo2b3o14bo18bobo3bobo11b4o9b4o5b8ob8o4b2ob2o5b2ob2o13b2o2bobo2b2o10b
3o13b3o10b2o5b2o12b2obo11bob2o9b4obo7bob4o14bob2ob2obo17bo2bobo2bo12b
3o2bobo5bobo2b3o22b5o3b5o191b2o3b2o70b2o5b2o$247b3o5b3o16bob2o2bo2b2ob
o11b2o2bo5bo2b2o40bobo7bobo19bob3o3b3obo21b2ob2o22b2o3bobo3b2o43b2ob2o
b2ob2o44bob2ob2obo30b5ob2o5b2ob5o7bo2b2o3b2o2bo7b3obo2bobo2bob3o8bobob
obo17bob3ob3obo10b6o7b6o9b2o7b2o14bob3o3b3obo12b2ob5o3b5ob2o14b2obobob
2o17bob2ob2obo15bobo9bobo26bob2o3b2obo192b2o3b2o69b2ob2ob2ob2o$247bobo
5bobo15b2o11b2o11b2obo5bob2o40b2ob3o3b3ob2o17b2ob2o5b2ob2o13b3obobo5bo
bob3o15bob4ob4obo43b2ob2ob2ob2o43b2ob2ob2ob2o29b3obobo7bobob3o5b2ob3o
5b3ob2o11b2ob2o10b4obo3bob4o14bo2bobo2bo15b2o7b2o13bob2o3b2obo11b4ob4o
b4ob4o10bobobobo3bobobobo14b2ob2ob2ob2o15b3obobob3o11b4ob4o3b4ob4o23b
2o2bobo2b2o264b2o3bob2ob2obo3b2o$245b4ob2ob2ob4o13b2o11b2o11b5o3b5o40b
2o2bo5bo2b2o17b4ob2ob2ob4o13b2obo2b2o3b2o2bob2o16b2ob2ob2ob2o98b2ob2ob
2ob2o33b3obo3bob3o9b4o2b2ob2o2b4o5b7o3b7o4b2obo2bobo2bob2o13b2ob2ob2ob
2o10b4ob2o5b2ob4o10bob2ob2obo12b2obobo2bobo2bobob2o10b2obo2bo3bo2bob2o
14b2ob2ob2ob2o15bo3bobo3bo11b2o2bo2bo5bo2bo2b2o24bob2ob2obo265b6o2bobo
2b6o$245b2o3b2ob2o3b2o41bo2bobo2bo44b2ob2ob2ob2o22bob2ob2obo18b2ob2o5b
2ob2o169b2o2b3o3b3o2b2o9bob4ob4obo7b2obob2o3b2obob2o6b5ob5o15b2ob2ob2o
b2o10b2ob4o5b4ob2o9b2ob2ob2ob2o13b15o11b2o5b2ob2o5b2o38b6ob6o14b2obo5b
ob2o27b2ob2ob2ob2o78b2ob2ob2ob2o176bobo2bobobobo2bobo$250b2ob2o48b2ob
2o46b2ob2ob2ob2o21b2o7b2o17b2ob2o5b2ob2o51b2ob2o113b2o5bobo5b2o11bo2bo
bo2bo11b2obo5bob2o6b2o4bobo4b2o36b2o2bo5bo2b2o12b2obobob2o14b2o2bo2bo
2bo2b2o12b6obobob6o39b2ob2o3b2ob2o15bob2o3b2obo28b2ob2ob2ob2o78b2ob2ob
2ob2o175b2ob3o7b3ob2o$302b2o3b2o77b2o7b2o83b2ob2o94b2ob2ob2ob2o14b2ob
2o16b2ob2ob2ob2o10b5o3b5o6b6o3b6o36bob3o5b3obo11b2ob2ob2ob2o40b2obob7o
bob2o41bo7bo17b2o2bobo2b2o118bo2bobo2bo177b3ob2o5b2ob3o$303b2ob2o169b
2obo3bob2o40b2ob2ob2ob2o40b2ob2ob2ob2o14b2ob2o16b2ob2ob2ob2o13bo5bo11b
obo5bobo39b2ob2o3b2ob2o12b2ob2ob2ob2o44b2o2bo2b2o45b2o5b2o18bob2ob2obo
119bob2ob2obo176b2o15b2o$303b2ob2o169b2ob2ob2ob2o40b2ob2ob2ob2o21b2ob
2o15bobo3bobo57b2obo5bob2o9b2o5b2o42b2o5b2o101b2ob2o18bo5bo18b2ob2ob2o
b2o117b3obobob3o176b3ob2o5b2ob3o$282bo192b2ob2obobob2ob2o15b2o5b2o15bo
7bo22b2ob2o14bob3ob3obo56b2ob2o3b2ob2o10b2o3b2o43b2o5b2o101b2ob2o18b2o
3b2o18b2ob2ob2ob2o117bo3bobo3bo175b2ob3o7b3ob2o$280b5o103b2o5b2o78b3o
9b3o15b2o5b2o14b2o7b2o15b2ob2ob2ob2ob2ob2o6b4o2bobo2b4o56b2o5b2o12b2o
3b2o150b2ob2ob2ob2o16bo3bo145b2ob4ob4ob2o174bobo2bobobobo2bobo$279bobo
bobo102b2o5b2o20b2o9b2o19b2ob2ob2ob2o16bob2o5b2obo17b2o3b2o15bo9bo15b
2ob3obobob3ob2o6b2obob2ob2obob2o56b2o5b2o169b2o2bobo2b2o16b2ob2o144bob
obob2ob2obobobo172b6o2bobo2b6o$279b2o3b2o103b2o3b2o21b2o9b2o19b5ob5o
15bob2obo3bob2obo16bo5bo16bo7bo15b2obo4bobo4bob2o7bob3ob3obo234b2o2b3o
b3o2b2o13b2o3b2o143b3obo2bobo2bob3o172b2o3bob2ob2obo3b2o$202bo41b2ob2o
b2ob2ob2ob2o17b2obobob2o101b2o5b2o21b2o7b2o21bo7bo16b2ob2o5b2ob2o15b2o
5b2o14b2o7b2o14b2ob6ob6ob2o7bobobobobobo13b2ob2ob2ob2o210b2o2bobobobo
2b2o13b2o3b2o144bob5ob5obo177b2ob2ob2ob2o$200b5o39b2ob2ob2ob2ob2ob2o
17bobo3bobo100bob2o3b2obo19b2o9b2o20b2o5b2o17bob2o5b2obo16bo7bo15b2o5b
2o17b2obob2ob2obob2o8b2ob2o3b2ob2o12b2ob2ob2ob2o211b6ob6o164b2obo9bob
2o177b2o5b2o$199bobobobo39bo2bob2ob2obo2bo19b3ob3o17b2ob2ob2ob2o41b2o
7b2o19b3obo5bob3o18bobo5bobo20b2o7b2o16b3obo3bob3o15b2o7b2o13b2o7b2o
14b2o3bo7bo3b2o7bobo5bobo11b2obob2ob2obob2o10b2o9b2o186bo4bobo4bo164bo
b2o3bobo3b2obo176b2o7b2o$199b2o3b2o39bob3obobob3obo18b2o5b2o16b2ob2ob
2ob2o41b2o7b2o19b2ob3o3b3ob2o17b2ob2o3b2ob2o18bobo7bobo14b2o2b2o3b2o2b
2o13bob4ob4obo13bo7bo15b3obo9bob3o6b2o2bo3bo2b2o9bob3o2bobo2b3obo9b2o
9b2o185b6o3b6o160b2obobo2bobobobo2bobob2o174b2o5b2o$181b2ob2o10b2obo5b
ob2o35b2obo9bob2o18b2o3b2o15b2obo2bobo2bob2o38b2o9b2o20bo2bo3bo2bo20bo
bo5bobo19b2obo5bob2o14bob5ob5obo13b2o2b2ob2o2b2o12bo2bo3bo2bo39bob4ob
4obo7b4o2bo7bo2b4o8b2o7b2o80b2ob2ob2ob2o95bobobo5bobobo160b5o13b5o174b
o7bo$181b2ob2o10b5o3b5o36b2o2bo5bo2b2o19bo5bo15b3ob3ob3ob3o38b2o9b2o
20b4o3b4o20bobo5bobo20b2o7b2o16bobo2bobo2bobo15b3obobob3o13b4o3b4o14b
3obo9bob3o7bobo5bobo8b2ob5o5b5ob2o7b2o9b2o79b2ob2ob2ob2o94b2obo9bob2o
354b6ob6o$180b2o3b2o10bo3bobo3bo37bo13bo18b2o5b2o16bobobobobobo41b2o7b
2o20b2o9b2o18b3ob2ob2ob3o18b2o9b2o16b2ob2ob2ob2o16bobo5bobo14bob2ob2ob
o15b2o3bo7bo3b2o6b2ob2o3b2ob2o8bobobo9bobobo9bo9bo81b2obobob2o95b5o7b
5o17b2ob2o137b5o13b5o172b2o2b2ob2o2b2o$181bobobo11b5ob5o35b2ob3o7b3ob
2o16bobo3bobo16b3o5b3o41bob2o3b2obo21b4o3b4o19bobobo3bobobo19bobo5bobo
18bob2ob2obo15b3obo5bob3o12bo2bobo2bo17b2obob2ob2obob2o9bobo5bobo6b4ob
obo9bobob4o6bo9bo81bob2ob2obo129b2ob2o137b2obobo2bobobobo2bobob2o$181b
o2b3o9b2obo5bob2o34b5o9b5o15b2o2bobo2b2o16bo2bobo2bo40b2ob3o3b3ob2o19b
o2bo3bo2bo20bob3ob3obo20b4o3b4o17b2o7b2o14b2ob2o5b2ob2o11b2ob2ob2ob2o
14b2ob6ob6ob2o7b3o5b3o6b2ob4o11b4ob2o5b2obo5bob2o76b2o3bobobobo3b2o91b
5o7b5o14b2obo3bob2o137bob2o3bobo3b2obo$180b2obo3bo9bo2bo3bo2bo70b4ob4o
17bob2ob2obo40b3o2b2ob2o2b3o17b2ob3o3b3ob2o19b2obobob2o22bo2bobo2bo18b
2o7b2o16b2ob2ob2ob2o13b2ob2ob2ob2o14b2obo4bobo4bob2o8bob2ob2obo38b3o5b
3o77b7o3b7o91b2obo9bob2o14b2ob2ob2ob2o137b2obo9bob2o$181bo2bob2o8b2ob
2o3b2ob2o34b5o9b5o16bo2bobo2bo16b2ob2ob2ob2o41bob2o3b2obo19b3obo5bob3o
18b2ob2ob2ob2o20b2ob2ob2ob2o44b2ob2ob2ob2o39b2ob3obobob3ob2o8b2o2bobo
2b2o6b2ob4o11b4ob2o5bobob2ob2obobo77bobobobobobobobo93bobobo5bobobo16b
ob2ob2obo139bob5ob5obo$180b2obo3b2o7bob3o3b3obo34b2ob3o7b3ob2o15b2ob2o
b2ob2o16b3o3b3o43b2o5b2o22bob2o3b2obo20b2ob2ob2ob2o20b2ob2ob2ob2o94b2o
b2ob2ob2ob2ob2o9b4ob4o7b4obobo9bobob4o5b3o2bobo2b3o76b2obo2bo3bo2bob2o
92b6o3b6o16b2o5b2o138b3obo2bobo2bob3o$181bob2ob2o9bobo5bobo37bo13bo17b
2ob2ob2ob2o15b2o7b2o43b2o3b2o24b2o5b2o163b2ob2o15bo2bobo2bo10bobobo9bo
bobo9bob3ob3obo78b5o5b5o94bo4bobo4bo16b2o7b2o137bobobob2ob2obobobo$
180b2obo3b2o7b2ob2o3b2ob2o36b2o2bo5bo2b2o42bob2o5b2obo41b2o5b2o24b2o3b
2o83b2o2bobo2b2o70b2ob2o14b2ob2ob2ob2o8b2ob5o5b5ob2o8b2o2bobo2b2o75b3o
bobo7bobob3o91b6ob6o17b2o5b2o139b2ob4ob4ob2o$180b8o8b2obobobobob2o35b
2obo9bob2o41b2obo5bob2o41b2o5b2o23b2o5b2o82b11o42b2ob2o42b2ob2ob2ob2o
8b4o2bo7bo2b4o9b4ob4o76b4o13b4o90b2o2bobobobo2b2o12b2o2bo7bo2b2o137bo
3bobo3bo$182bobo2b2o11b5o40bob3obobob3obo43b2ob2ob2ob2o74b2o5b2o80b2ob
obobobobob2o40b2ob2o63bob3o2bobo2b3obo11bob2ob2obo187b2o2b3ob3o2b2o12b
5o7b5o137b3obobob3o$187b2o13bo42bo2bob2ob2obo2bo43b2ob2ob2ob2o106b2o2b
o2b2o48b4o7b4o37b2ob2ob2ob2o61b2obob2ob2obob2o11b2o7b2o75b4o13b4o92b2o
2bobo2b2o17bo9bo141bob2ob2obo$244b2ob2ob2ob2ob2ob2o158bob7obo25b2ob2o
21bo5bo18b2o9b2o10b2o2bobo2b2o63b2ob2ob2ob2o13b2o7b2o75b3obobo7bobob3o
92b2ob2ob2ob2o14b2ob2o7b2ob2o138bo2bobo2bo$244b2ob2ob2ob2ob2ob2o158b2o
bo3bob2o23b4ob4o15b2ob2o5b2ob2o14b2o9b2o12b3ob3o65b2ob2ob2ob2o102b5o5b
5o98b2ob2o17b5o7b5o137b2ob2ob2ob2o$278b2ob2ob2ob2o68b2o7b2o49b2obob2ob
2obob2o19b3o2bobo2b3o13b5o5b5o15b3o5b3o11b3obobob3o44b2o3b2o124b2obo2b
o3bo2bob2o97b2ob2o171b2ob2ob2ob2o$278b2ob2ob2ob2o68b2o7b2o23b2ob2o20bo
b5o3b5obo16b3ob4ob4ob3o40b2o3bobo3b2o8b3o2b2ob2o2b3o42b2o3b2o125bobobo
bobobobobo120b5o7b5o$279bobo3bobo70bob2ob2obo24b2ob2o20b2obo2b2ob2o2bo
b2o16b2ob2o2bobo2b2ob2o11b5o5b5o14bob2obobob2obo8b2ob2obobob2ob2o14b2o
2b2ob2o2b2o11b2ob2o5b2ob2o120b7o3b7o119b2ob2o7b2ob2o$278b2o7b2o66b4ob
2ob2ob4o19b2o5b2o19bob5ob5obo18bo2bob2ob2obo2bo12b2ob2o5b2ob2o15b2o2bo
bo2b2o8b2o2bo2bobo2bo2b2o12bob5ob5obo10b3ob2o3b2ob3o36b2ob2o79b2o3bobo
bobo3b2o122bo9bo$278bo9bo14b2o7b2o41b2obo2bobo2bob2o15b2obob2o3b2obob
2o14b2obo2bo3bo2bob2o17bob2o7b2obo16bo5bo20b4ob4o6b2o2b3ob3ob3ob3o2b2o
9b2obobo3bobob2o13b2o5b2o39b2ob2o83bob2ob2obo123b5o7b5o$250b2obobob2o
20bo7bo15b2o7b2o39b2obob4ob4obob2o13b4o9b4o14bob6ob6obo16b2obobo5bobob
2o11b4o7b4o15b2o2bobo2b2o5b5obo2b2ob2o2bob5o10b2o2b2ob2o2b2o11b3ob2o3b
2ob3o33b2ob2ob2ob2o80b2obobob2o123b2o2bo7bo2b2o$161b2o3b2o30b2ob2ob2ob
2o37b2obob7obob2o15b2o7b2o13b2o9b2o38b4obo2bobo2bob4o16bobo5bobo18b2ob
ob2ob2obob2o17b6o5b6o11b2obobobobobob2o15bob3ob3obo7bo2b5o3b5o2bo11b2o
b2obobob2ob2o10b3obo5bob3o33b2o2bobo2b2o79b2ob2ob2ob2o126b2o5b2o$161b
2o3b2o30b3ob3ob3o37b3obo3bo3bob3o14bob3o3b3obo13bo9bo37b2o2bob3obobob
3obo2b2o11b3ob2obobob2ob3o17b2o2bobo2b2o49b11o18bobo3bobo38bob2ob2ob2o
b2obo14b2o3b2o39b2o3b2o81b2ob2ob2ob2o125b2o7b2o$160b2o5b2o30bobo3bobo
40b3o7b3o16b3ob2ob2ob3o13b2o7b2o37b3ob3obobobobob3ob3o11b5ob2ob2ob5o
17bob7obo19b6o5b6o13b2o2bobo2b2o17b2ob2ob2ob2o7bo2b5o3b5o2bo8b2obo2bob
2ob2obo2bob2o7b3o2b2ob2o2b3o35bo5bo218b2o5b2o$161b2o3b2o10b2ob2ob2ob2o
10bo2b3o2bo70bob3ob3obo11b2obo9bob2o37bo3b4ob4o3bo49b2o2bo2b2o20b2obob
o5bobob2o40bob2obobob2obo4b5obo2b2ob2o2bob5o6b7o2bobo2b7o7b6o3b6o32bob
4ob4obo215bob2ob2obo$160b2obobob2o9b2ob2ob2ob2o9b5ob5o39b2o9b2o17b2o2b
obo2b2o11b5ob2ob2ob5o34b2ob2o4bo3bo4b2ob2o11b5ob2ob2ob5o48bob2o7b2obo
41b2obobobobob2o4b2o2b3ob3ob3ob3o2b2o8bobo2b3ob3o2bobo54b5ob2ob2ob5o
212b2ob2ob2ob2o$159bob3ob3obo9b2obobob2o10bobobobobobo39b2o9b2o18bo2bo
bo2bo13bo5bobo5bo35b5o13b5o11b3ob2obobob2ob3o48bo2bob2ob2obo2bo42bob3o
b3obo8b2o2bo2bobo2bo2b2o16b3ob3o14b6o3b6o30b2o2bo2bobo2bo2b2o212b2obo
3bob2o$159b2o2bobo2b2o8b2ob2ob2ob2o8b2o9b2o68b2ob2ob2ob2o12b3ob2o3b2ob
3o72bobo5bobo50b2ob2o2bobo2b2ob2o41b2o2bobo2b2o9b2ob2obobob2ob2o38b3o
2b2ob2o2b3o32b2o9b2o217b2ob2o$160bob2ob2obo9bo3bobo3bo9bo2bo3bo2bo39b
2o9b2o17b2ob2ob2ob2o11b2ob3o5b3ob2o34b5o13b5o11b4o9b4o47b3ob4ob4ob3o
15b2obobobob2o16bob2ob2obo10b3o2b2ob2o2b3o17b3ob3o18b2o3b2o34b2ob2o2bo
bo2b2ob2o215b2ob2o$159bo2b2ob2o2bo9b4ob4o10b3o5b3o39b2o9b2o40b2o2b2o3b
2o2b2o35b2ob2o4bo3bo4b2ob2o11b2obob2o3b2obob2o19b2ob2ob2ob2o19b3o2bobo
2b3o17b11o16bob2ob2obo12b3obobob3o14bobo2b3ob3o2bobo9b3obo5bob3o30b3o
2b3ob3o2b3o$157b7ob7o6b2o7b2o10bo2bobo2bo93b2ob2obobob2ob2o38bo3b4ob4o
3bo18b2o5b2o23b2ob2ob2ob2o21b4ob4o18b2o3bobo3b2o14b2o7b2o13b3ob3o14b7o
2bobo2b7o7b3ob2o3b2ob3o33b3o5b3o$157b2obo7bob2o7b2o5b2o11bob2ob2obo40b
3o7b3o42b2ob2ob2ob2o37b3ob3obobobobob3ob3o17b2ob2o24b2obobobobob2o22b
2ob2o21b2o7b2o15b2o7b2o11b2o2bobo2b2o12b2obo2bob2ob2obo2bob2o10b2o5b2o
33b2obo9bob2o$160b2o5b2o9b2o7b2o8b4obobob4o36b3obo3bo3bob3o40b2ob2ob2o
b2o37b2o2bob3obobob3obo2b2o17b2ob2o24bob4ob4obo47b2obo5bob2o36b2ob2ob
2ob2o15bob2ob2ob2ob2obo10b3ob2o3b2ob3o30b3o11b3o$160bo7bo10b2o5b2o9b2o
2b2ob2o2b2o36b2obob7obob2o90b4obo2bobo2bob4o47b2obo2bobo2bob2o47b2obo
3bob2o40b2ob2o18b2ob2obobob2ob2o10b2ob2o5b2ob2o$159b3o5b3o8b2o7b2o12b
2ob2o44b2obobob2o94b2obob4ob4obob2o48b3obo3bob3o47b2o9b2o39b2ob2o19b2o
2b2ob2o2b2o15b2o3b2o34b3o11b3o$159bo3bobo3bo9b4ob4o167b2obo2bobo2bob2o
49bobobo5bobobo47b2o7b2o63b2obobo3bobob2o14b2o3b2o34b2obo9bob2o$160b3o
3b3o9b2o2bobo2b2o95bo70b4ob2ob2ob4o20b2o5b2o20b2o2b2o3b2o2b2o43b2o2bo
3bobo3bo2b2o59bob5ob5obo58b3o5b3o$159b2o2bobo2b2o9b4ob4o94b5o71bob2ob
2obo23b2o5b2o21b3o7b3o44b4ob4ob4ob4o60b2o2b2ob2o2b2o56b3o2b3ob3o2b3o$
159bob3ob3obo8bo3bobo3bo92bobobobo69b2o7b2o23b2o3b2o21b2o11b2o27bo17bo
b2o2bobo2b2obo20bo18b2o7b2o81b2ob2o2bobo2b2ob2o$160b2obobob2o9b2ob2ob
2ob2o88b2o2b2o3b2o2b2o65b2o7b2o23bo5bo22b3o7b3o26b5o18bob2ob2obo21b5o
16b2o7b2o83b2o9b2o$161b2o3b2o11b2obobob2o64b2ob2ob2ob2o14b5o5b5o96b2ob
2o3b2ob2o18b2o2b2o3b2o2b2o24bobobobo17bo2bobo2bo20bobobobo16b2o5b2o82b
2o2bo2bobo2bo2b2o$160b2o5b2o9b2ob2ob2ob2o63b2ob2ob2ob2o16bob3ob3obo97b
ob4o3b4obo17bobobo5bobobo24b2o3b2o16b2ob2ob2ob2o19b3ob3o16bo7bo46bo2bo
2bo29b5ob2ob2ob5o$161b2o3b2o10b2ob2ob2ob2o12b2o3b2o43b2o2bo3bo2b2o15b
2o2bobo2b2o97b2o2b2o3b2o2b2o18b3obo3bob3o24b2o5b2o16bo2b3o2bo18b2o2bob
o2b2o13b2o7b2o13b2o2b2ob2o2b2o17b11o29bob4ob4obo$161b2o3b2o33b2o3b2o
44b5ob5o17b2obobob2o99b2o9b2o18b2obo2bobo2bob2o22bob2o3b2obo14b4o3b4o
13b2o2b5ob5o2b2o9bo9bo13b6ob6o17b2o2bobo2b2o32bo5bo$200b2o5b2o37b2o2bo
bo3bobo3bobo2b2o10bo2b2ob2o2bo98bo11bo19bob4ob4obo23b2ob2ob2ob2o14b2ob
5ob2o13b4o11b4o8b6ob6o14bo2bobo2bo20bob2ob2obo33b2o3b2o$201b2o3b2o38b
10o3b10o10b2o2bobo2b2o95b2obo11bob2o16b2obobobobob2o24bo7bo20bo21b3obo
3bob3o12bob2o3b2obo15b3o3b3o19b4o3b4o30b2o2bobo2b2o$200b2obobob2o42bob
obo3bobobo16b4ob4o24bo71b4o11b4o17b2ob2ob2ob2o24b3o5b3o38b2ob3o7b3ob2o
9bobobobobobo9b2o2b3o7b3o2b2o13bo2b2ob2o2bo30b2ob2ob2ob2o$199bob3ob3ob
o36b2obobo11bobob2o11bo2bobo2bo22b5o105b2ob2ob2ob2o24bob2o3b2obo38b3o
13b3o8b2ob2o3b2ob2o8b5o2bo5bo2b5o12b2ob2o3b2ob2o32b2ob2o$199b2o2bobo2b
2o36b5o13b5o10b2ob2ob2ob2o17b2obobobobob2o6b2o7b2o22b2ob2ob2ob2o15b4o
11b4o49b2obobo5bobob2o62b2obobobobob2o10bob4o5b4obo15bo2b2ob2o2bo33b2o
b2o293b2o3b2o$163b2o3b2o30b4ob4o70b3o5b3o17b5o3b5o6b2o7b2o22b2ob2ob2ob
2o15b2obo11bob2o49b5o7b5o13b2o5b2o13b3o13b3o7b2ob4ob4ob2o9b3ob2o5b2ob
3o15b4o3b4o331b2o3b2o15b2o3b2o$163b2o3b2o29bo9bo36b5o13b5o12bo5bo20bo
9bo6b2o9b2o22bo2bobo2bo19bo11bo82b2o5b2o13b2ob3o7b3ob2o8bo3b2ob2o3bo9b
2o15b2o15bob2ob2obo333b2ob2o16b2o3b2o$162b2o5b2o28b2o7b2o36b2obobo11bo
bob2o12b2o3b2o20b2o7b2o7bo9bo23b4ob4o19b2o9b2o52b5o7b5o11b2ob2o3b2ob2o
14b3obo3bob3o11bobobo3bobobo10b3ob2o5b2ob3o16b4ob4o333bo3bo17b2ob2o$
163b2o3b2o30bo7bo42bobobo3bobobo16b2o5b2o20bo7bo8b2o7b2o22b2o2bobo2b2o
17b2o2b2o3b2o2b2o51b2obobo5bobob2o10bobobobobobobobo10b4o11b4o7b2o2b3o
b3o2b2o9bob4o5b4obo17bo5bo333b2o3b2o16bo3bo$162b2obobob2o29b2o5b2o37b
10o3b10o11b2o5b2o20b2o5b2o9bo7bo22bobob2ob2obobo16bob4o3b4obo54bob2o3b
2obo13b2ob3o3b3ob2o10b2o2b5ob5o2b2o7b3o2bo3bo2b3o7b5o2bo5bo2b5o15b2o3b
2o333bo5bo15b2o3b2o$161bob3ob3obo27b2o7b2o36b2o2bobo3bobo3bobo2b2o39b
2ob2ob2ob2o8b2o5b2o22b4obobob4o17b2ob2o3b2ob2o55b3o5b3o11b2o3bo2bobo2b
o3b2o12b2o2bobo2b2o13b2ob2ob2ob2o9b2o2b3o7b3o2b2o14b2obobob2o331b3o3b
3o14bo5bo$161b2o2bobo2b2o28b4ob4o43b5ob5o45bob3ob3obo7b2ob2ob2ob2o22bo
bobobobobo21bo5bo59bo7bo12b7o5b7o14b3ob3o15b2ob2ob2ob2o15b3o3b3o20bob
2ob2obo331bob2ob2obo13b2o5b2o$162b4ob4o28b2o2bobo2b2o41b2o2bo3bo2b2o
45bobo3bobo8bob3ob3obo22bob3ob3obo21b2o3b2o58b2ob2ob2ob2o13bo5bobo5bo
16bobobobo41bo2bobo2bo19b2ob2ob2ob2o328b2o3bobo3b2o11bo7bo$161bo9bo28b
4ob4o43b2ob2ob2ob2o45b2ob2ob2ob2o8bobo3bobo21b4o2bobo2b4o18b2o5b2o57bo
b2o3b2obo17b3ob3o21b5o40b6ob6o17b2ob2ob2ob2o328b4obobob4o9b2ob2o3b2ob
2o$159b4o7b4o25bo3bobo3bo42b2ob2ob2ob2o44bob2obobob2obo6b2ob2ob2ob2o
20b2obob2ob2obob2o18b2o5b2o58b2o5b2o48bo42b2o2b2ob2o2b2o357bo3bobo3bo
10b3o2bobo2b3o$159b2obo7bob2o9b2o3b2o9b2ob2ob2ob2o97b2obobobobob2o5bob
2obobob2obo20bobo2bobo2bobo87b2o3b2o19b3ob3o436b3obobob3o11bo2b2ob2o2b
o$162b2o5b2o12b2o3b2o10b2obobob2o72b2ob2ob2ob2o16bob3ob3obo6b2obobobob
ob2o19bo2b4ob4o2bo86bobobobo15bo5bobo5bo433bob2ob2obo12b4o3b4o$162bo7b
o11b2o5b2o8b2ob2ob2ob2o71b2ob2ob2ob2o16b2o2bobo2b2o7bob3ob3obo20b4o2bo
bo2b4o87b5o14b7o5b7o431bo2bobo2bo13bob5obo$161b2o7b2o11b2o3b2o9b2ob2ob
2ob2o72bob2ob2obo18bob2ob2obo8b2o2bobo2b2o21bobob2ob2obobo90bo16b2o3bo
2bobo2bo3b2o430b11o12bobobobobo$161bo9bo10b2obobob2o60b2ob2ob2ob2o19bo
bobobobobo17bob2ob2obo9bob2ob2obo21b2ob3o3b3ob2o108b2ob3o3b3ob2o66b2ob
2ob2ob2o19b2ob2o331b2obobobob2o11b11o$162b4ob4o10bob3ob3obo55b2o2b2ob
2ob2ob2o2b2o15b2ob2ob2ob2o16b2o7b2o8bob2ob2obo21b5o5b5o108bobobobobobo
bobo66b2ob2ob2ob2o19b2ob2o353b2o2bobo2b2o$161b2o2bobo2b2o9b2o2bobo2b2o
55b2o3bob2ob2obo3b2o13b2obobo3bobob2o14b2o7b2o7b2o7b2o144b2ob2o3b2ob2o
68bo2bobo2bo17b2ob2ob2ob2o$161bob3ob3obo10bob2ob2obo55b2ob4o2bobo2b4ob
2o12b3ob3ob3ob3o32b2o7b2o20b5o5b5o111b2o5b2o69b4o3b4o15bob2obobob2obo$
162b2obobob2o10bo3bobo3bo50b2o2bo2bo2b4ob4o2bo2bo2b2o10bob2o3b2obo65b
2ob3o3b3ob2o111b2o5b2o65b2o2bob2o3b2obo2b2o10bobo2b2ob2o2bobo$163b2o3b
2o11b5ob5o50b10o3bobo3b10o10b4o3b4o66bobob2ob2obobo20bo11bo153b5o9b5o
10b2ob3o3b3ob2o327b2o3b2o$162b2o5b2o11bo7bo53bo2bobo2b4ob4o2bobo2bo10b
2obo7bob2o63b4o2bobo2b4o17b4o9b4o152bo2b2o7b2o2bo12bobob2ob2obobo329bo
2bo2bo$163b2o3b2o12b2o5b2o61bo7bo18b3o9b3o63bo2b4ob4o2bo17b2o3b2o3b2o
3b2o151b2o2bo9bo2b2o8b3o2bo2bobo2bo2b3o325bo4b2o16b2o2b3o$163b2o3b2o
11b2o7b2o89b2o7b2o22b2o13b2o27bobo2bobo2bobo20b6ob6o153b2ob2o9b2ob2o8b
7o5b7o325b2o2bo2bo16bo2bobo$181bobo5bobo60bo7bo20bobo5bobo22b2o13b2o
26b2obob2ob2obob2o19bobo2bobo2bobo76b2ob2ob2ob2ob2ob2o63bo11bo360b2o
16bo5bo$182b2o5b2o13b2ob2o35bo2bobo2b4ob4o2bobo2bo13bo7bo24bob2ob2ob2o
b2obo27b4o2bobo2b4o20b2ob2ob2ob2o77b2ob2ob2ob2ob2ob2o60b2ob2o9b2ob2o8b
7o5b7o348b2o4bo$181b2o2bobo2b2o12b2ob2o33b10o3bobo3b10o8b4o7b4o21bob2o
b2ob2ob2obo29bob3ob3obo23bob2ob2obo79bo2bo2bobo2bo2bo61b2o2bo9bo2b2o8b
3o2bo2bobo2bo2b3o$182bob2ob2obo11b2obobob2o31b2o2bo2bo2b4ob4o2bo2bo2b
2o8b2ob3o3b3ob2o20b2obob2o3b2obob2o28bobobobobobo22b2o7b2o78bob5ob5obo
62bo2b2o7b2o2bo12bobob2ob2obobo$181bob3ob3obo9bob3ob3obo34b2ob4o2bobo
2b4ob2o13bobo2bobo2bobo22bob2ob2ob2ob2obo28b4obobob4o21b2o7b2o77b2obo
3bobo3bob2o60b5o9b5o10b2ob3o3b3ob2o$181b2obo3bob2o8bobo7bobo34b2o3bob
2ob2obo3b2o13b3ob3ob3ob3o21bo2bob2ob2obo2bo28bobob2ob2obobo110b2o3b2ob
2o3b2o61b2o2bob2o3b2obo2b2o10bobo2b2ob2o2bobo$180b2o2b2ob2o2b2o7b5o3b
5o34b2o2b2ob2ob2ob2o2b2o14bobo2bobo2bobo20b4obo7bob4o27b2o2bobo2b2o
111bo3bo5bo3bo65b4o3b4o15bob2obobob2obo$180b2o2b2ob2o2b2o8bob2o3b2obo
39b2ob2ob2ob2o18b3ob2ob2ob3o20b2ob2o9b2ob2o28b4ob4o111b6o5b6o65bo2bobo
2bo17b2ob2ob2ob2o$200b2obo5bob2o68bobobobobobo68bo2bobo2bo111b2obobo5b
obob2o64b2ob2ob2ob2o19b2ob2o$200b2ob2o3b2ob2o68bo2b2ob2o2bo21b2ob2o9b
2ob2o27b2ob2ob2ob2o191b2ob2ob2ob2o19b2ob2o$202bobo3bobo69b4obobob4o20b
4obo7bob4o27b2ob2ob2ob2o110b2obobo5bobob2o$202b2o5b2o69b2ob2o3b2ob2o
22bo2bob2ob2obo2bo150b6o5b6o$203b2o3b2o72b2o5b2o24bob2ob2ob2ob2obo151b
o3bo5bo3bo$203bo5bo72b2o5b2o23b2obob2o3b2obob2o150b2o3b2ob2o3b2o$199b
2ob2o5b2ob2o34b2o2b2o5b2o2b2o50bob2ob2ob2ob2obo150b2obo3bobo3bob2o$
199b2obobo3bobob2o34b2o2b2o5b2o2b2o50bob2ob2ob2ob2obo151bob5ob5obo100b
o$172b2ob2o5b2ob2o14bo3bobo3bo37b3ob2o3b2ob3o50b2o13b2o150bo2bo2bobo2b
o2bo95b2ob5ob2o$172b2ob2o2bo2b2ob2o14b5ob5o37bo2b2o5b2o2bo50b2o13b2o
149b2ob2ob2ob2ob2ob2o94b4o3b4o$173bo2b7o2bo16bobo3bobo37b4obo5bob4o
215b2ob2ob2ob2ob2ob2o95bo2b3o2bo$173bob2obobob2obo15b2ob2ob2ob2o36bo2b
ob3ob3obo2bo89bo21bo18b2o5b2o188b4ob4o$172b2obo2bobo2bob2o14b2ob2ob2ob
2o34b2ob2o3bo3bo3b2ob2o16b2o5b2o60b3o21b3o16b2o5b2o185b2obo7bob2o$172b
obo2b2ob2o2bobo59b5o3bo3bo3b5o16b2o5b2o61b2obo17bob2o18b2o3b2o186b5obo
bob5o$169b2obobo3bobo3bobob2o94b2o3b2o58b2o3bob2ob2o9b2ob2obo3b2o14bo
5bo191b2ob2o$169b7obo3bob7o56b5o3bo3bo3b5o17bo5bo58b7ob3obo7bob3ob7o
13b2o5b2o185b3o2b2ob2o2b3o$246b2ob2o3bo3bo3b2ob2o16b2o5b2o31b2o5b2o19b
obob2obob2o7b2obob2obobo15bo7bo82b2o5b2o94b4obo3bob4o$169b7obo3bob7o
58bo2bob3ob3obo2bo18bo7bo31b2o5b2o27bob4ob4obo21b4o5b4o80b2o5b2o$169b
2obobo3bobo3bobob2o58b4obo5bob4o17b3o5b3o31b2o3b2o29b2o2bobo2b2o22b2o
3bobo3b2o78b2ob2o3b2ob2o92b4obo3bob4o$172bobo2b2ob2o2bobo62bo2b2o5b2o
2bo18bobo5bobo30b2obobob2o29b4ob4o25bo7bo80b2obo5bob2o92b3o2b2ob2o2b3o
$172b2obo2bobo2bob2o62b3ob2o3b2ob3o17b5o3b5o29bob2ob2obo28bo3bobo3bo
22b3obo3bob3o76b2obob2o3b2obob2o95b2ob2o$173bob2obobob2obo62b2o2b2o5b
2o2b2o17bo3bobo3bo29b3obobob3o27b3obobob3o22b2ob3ob3ob2o76b3ob2obobob
2ob3o90b5obobob5o91b2o5b2o$173bo2b7o2bo62b2o2b2o5b2o2b2o16b2obobobobob
2o28bobobobobobo28bob2ob2obo24bobobobobobo79bobo2bobo2bobo92b2obo7bob
2o91b2o5b2o$172b2ob2o2bo2b2ob2o94bob9obo24b2ob2ob3ob3ob2ob2o24bo2bobo
2bo24b5ob5o79b6ob6o95b4ob4o95b2o3b2o$172b2ob2o5b2ob2o95b2obobobob2o25b
2obobo7bobob2o23b2ob2ob2ob2o24bo2bobo2bo81bo3bobo3bo96bo2b3o2bo94b2o5b
2o$319b7o3b7o24b2ob2ob2ob2o23b2ob2ob2ob2o80bob2o3b2obo95b4o3b4o94b2o3b
2o$319bo2bo9bo2bo58b2ob2ob2ob2o79b4o5b4o94b2ob5ob2o94bo5bo$316b2obobob
3o3b3obobob2o145bo2b2o3b2o2bo99bo98b2o5b2o$316b9o5b9o146b3obobob3o195b
2o2bo7bo2b2o$365b2ob2o114b2o2b2ob2o2b2o194b7o3b7o$199b2o9b2o104b9o5b9o
24b4ob4o112b2o2b2ob2o2b2o195bobo2bo3bo2bobo$199b2o9b2o74b2ob2o25b2obob
ob3o3b3obobob2o22b3o2bobo2b3o317b2obob2o3b2obob2o$200b2o7b2o75b2ob2o
28bo2bo9bo2bo25b2ob2o3b2ob2o262b2ob2ob2ob2o45b5obobob5o$200bo9bo72b2ob
2ob2ob2o25b7o3b7o26bobo5bobo263b2ob2ob2ob2o45bo3b2o3b2o3bo$201b2o5b2o
73b2o2bobo2b2o24b2obobo7bobob2o25b5ob5o262b2obobobobob2o43b6o5b6o$200b
2o7b2o71b2ob3ob3ob2o23b2ob2ob3ob3ob2ob2o26bobo3bobo21b2ob2ob2ob2o231bo
b2o5b2obo43b2obob2o3b2obob2o$173b2o9b2o15b2o5b2o73bobo5bobo28bobobobob
obo28bobo2bobo2bobo19b5ob5o232b2o7b2o46b2o3bobo3b2o$173b2o9b2o15bo7bo
73b2obo3bob2o28b3obobob3o23b2ob6o5b6ob2o15bo2bobo2bo234b2o5b2o47b6ob6o
$174b2o7b2o15b4o3b4o73b2o5b2o30bob2ob2obo24b4o2bobo5bobo2b4o12bo2b2o5b
2o2bo230b2o2bobo2b2o48bob2ob2obo$173b2o9b2o14bo3bobo3bo72b2ob2ob2ob2o
29b2obobob2o26bobobob2o3b2obobobo12b6obo3bob6o229bo7bo$173bobo2bobo2bo
bo13b4o5b4o72b4ob4o31b2o3b2o28b7o3b7o13b2obo2b2o3b2o2bob2o228b2o2bobo
2b2o$174b2o7b2o14b2ob2o3b2ob2o71b2o2bobo2b2o29b2o5b2o58bob5o3b5obo228b
o2b3ob3o2bo$173b2o9b2o14bobo5bobo73b4ob4o30b2o5b2o27b7o3b7o14b3ob3o3b
3ob3o228b4obobob4o$174b3o5b3o15b3o5b3o72bo3bobo3bo64bobobob2o3b2obobob
o12b2o15b2o226b2o2b3ob3o2b2o$174bo2bo3bo2bo16bobo3bobo73b2ob2ob2ob2o
62b4o2bobo5bobo2b4o11b3ob3o3b3ob3o227bob2o2bobo2b2obo$173b2obo5bob2o
14b2ob2ob2ob2o73b2obobob2o63b2ob6o5b6ob2o11bob5o3b5obo228bobob2ob2obob
o$174b2o7b2o16b4ob4o73b2ob2ob2ob2o67bobo2bobo2bobo15b2obo2b2o3b2o2bob
2o228b2o2bobo2b2o$173b2o3bobo3b2o15bo2bobo2bo73b2ob2ob2ob2o69bobo3bobo
17b6obo3bob6o229bob2ob2obo$174b5ob5o15b2ob2ob2ob2o151b5ob5o18bo2b2o5b
2o2bo230b2o7b2o$174bobobobobobo15b2ob2ob2ob2o119b2ob2ob2ob2o21bobo5bob
o21bo2bobo2bo232bob2o5b2obo$173b2obo5bob2o144b2ob2ob2ob2o20b2ob2o3b2ob
2o19b5ob5o231b2obo5bob2o$173b4obobob4o145bo2bobo2bo21b3o2bobo2b3o19b2o
b2ob2ob2o232b2ob2ob2ob2o$175bob2ob2obo146b5ob5o22b4ob4o264b2ob2ob2ob2o
$176b2o3b2o103b2o2bo2b2o35bobobobobobo24b2ob2o$177b2ob2o103bob7obo30b
2ob3ob2ob2ob3ob2o$177b2ob2o99b2o2b2o2bobo2b2o2b2o26b4o3b2ob2o3b4o$281b
5ob3ob3ob5o29b3ob2ob2ob3o$285bobobobobobo30b2obo2bo5bo2bob2o$281b2ob2o
b2o3b2ob2ob2o26b7o5b7o$281b4ob3o3b3ob4o$194b2o2b2o126b7o5b7o$189b2o3b
2o2b2o3b2o76b4ob3o3b3ob4o26b2obo2bo5bo2bob2o52b2ob2ob2ob2o$189b2o2b2ob
2ob2o2b2o76b2ob2ob2o3b2ob2ob2o29b3ob2ob2ob3o55b2ob2ob2ob2o$187b2ob4obo
2bob4ob2o78bobobobobobo30b4o3b2ob2o3b4o53b2obobob2o70b2o7b2o$187b3o3bo
2b2o2bo3b3o74b5ob3ob3ob5o26b2ob3ob2ob2ob3ob2o53bob2ob2obo70b2o7b2o$
190b4ob4ob4o77b2o2b2o2bobo2b2o2b2o30bobobobobobo56b2ob2ob2ob2o70bob2ob
2obo$187b4ob2o6b2ob4o78bob7obo34b5ob5o56bo2bo3bo2bo70bob2ob2obo$187b2o
4bo6bo4b2o79b2o2bo2b2o36bo2bobo2bo56b3ob2ob2ob3o68b2o2bobo2b2o$330b2ob
2ob2ob2o55bobo2bobo2bobo68bob3ob3obo$187b2o4bo6bo4b2o123b2ob2ob2ob2o
54b2ob4ob4ob2o66b2obobobobob2o$187b4ob2o6b2ob4o188b3ob2o3b2ob3o66bob2o
bobob2obo$165b2o3b2o18b4ob4ob4o273b2ob2ob2ob2o$165b2o3b2o15b3o3bo2b2o
2bo3b3o188b3ob2o3b2ob3o68bo2bobo2bo$166b2ob2o16b2ob4obo2bob4ob2o188b2o
b4ob4ob2o67bob3ob3obo$166bo3bo18b2o2b2ob2ob2o2b2o191bobo2bobo2bobo68b
2o2bobo2b2o$165b3ob3o17b2o3b2o2b2o3b2o191b3ob2ob2ob3o69b4ob4o$165bo5bo
22b2o2b2o197bo2bo3bo2bo69b2o7b2o$163b2obo3bob2o113b2ob2ob2ob2o35b2o5b
2o55b2ob2ob2ob2o70b4ob4o$163b4o3b4o113b2ob2ob2ob2o35b2o5b2o56bob2ob2ob
o70b2o2bobo2b2o$161b2o2bobobobo2b2o109b2obo2bobo2bob2o31b2ob2o3b2ob2o
54b2obobob2o70bob3ob3obo$161b2o2b2o3b2o2b2o41b2ob2o62bob4obobob4obo30b
2obo5bob2o53b2ob2ob2ob2o70bo2bobo2bo$162b2obobobobob2o42b2ob2o62b2obob
obobobobob2o26b2o3bobo5bobo3b2o49b2ob2ob2ob2o69b2ob2ob2ob2o$161b2ob4ob
4ob2o34b2o2b2ob2ob2ob2o2b2o56b2ob4ob4ob2o27b10ob10o128bob2obobob2obo
28b2o9b2o$162bo3b2ob2o3bo35b2o2b2o2bobo2b2o2b2o55b2o13b2o28bobo3b2ob2o
3bobo130b2obobobobob2o28b2o9b2o$162bobobo3bobobo34b2ob2o2b2o3b2o2b2ob
2o55b2ob4ob4ob2o30b2ob3o3b3ob2o132bob3ob3obo30b3o5b3o$161b2o2b3ob3o2b
2o15b2ob2o14bobob3o5b3obobo55b2obobobobobobob2o31b2ob2ob2ob2o134b2o2bo
bo2b2o30bo3bobo3bo$161b3o2bo3bo2b3o15b2ob2o13b4obobo5bobob4o54bob4obob
ob4obo29b2ob3o3b3ob2o133bob2ob2obo30b4obobob4o$163b2ob2ob2ob2o16b2o3b
2o12bobob2ob2o3b2ob2obobo55b2obo2bobo2bob2o29bobo3b2ob2o3bobo132bob2ob
2obo30bobo2bobo2bobo$163b2ob2ob2ob2o17b2ob2o12b2obo3b3o3b3o3bob2o56b2o
b2ob2ob2o29b10ob10o129b2o7b2o28b2ob4ob4ob2o$186b2obo2bobo2bob2o7b3obo
3bo5bo3bob3o56b2ob2ob2ob2o29b2o3bobo5bobo3b2o129b2o7b2o28b4o2bobo2b4o$
185bob5o3b5obo129b2obo5bob2o53b2o2b2ob2o2b2o108bob3ob3obo$185b2obob2o
3b2obob2o6b3obo3bo5bo3bob3o100b2ob2o3b2ob2o53b2o2b2ob2o2b2o109bobo3bob
o$186bo13bo7b2obo3b3o3b3o3bob2o102b2o5b2o56b2obo3bob2o109b2ob2ob2ob2o$
186b2o11b2o8bobob2ob2o3b2ob2obobo103b2o5b2o55b2o2b2ob2o2b2o107bob2obob
ob2obo$185b2o13b2o7b4obobo5bobob4o60b2o3b2o101b5ob5o108b2obobobobob2o$
186b2o11b2o9bobob3o5b3obobo61b2o3b2o101bo2bo3bo2bo109bob3ob3obo$186bo
13bo8b2ob2o2b2o3b2o2b2ob2o61b2ob2o100b5o5b5o107b2o2bobo2b2o$185b2obob
2o3b2obob2o8b2o2b2o2bobo2b2o2b2o62bo3bo100b2ob2o5b2ob2o108bob2ob2obo$
185bob5o3b5obo8b2o2b2ob2ob2ob2o2b2o58b2ob2o3b2ob2o97bob2o5b2obo109bob
2ob2obo$166b2ob2ob2ob2o9b2obo2bobo2bob2o16b2ob2o65b2obo5bob2o97b2o9b2o
108b2o7b2o$166b2ob2ob2ob2o14b2ob2o21b2ob2o66bob2o3b2obo96b2obo9bob2o
106b2o7b2o$165b2o3bobo3b2o12b2o3b2o91b3o5b3o96b4o9b4o$166b2ob2ob2ob2o
14b2ob2o91b2o9b2o$165b2o3bobo3b2o13b2ob2o91bob4ob4obo95b4o9b4o$162b2o
2b4o3b4o2b2o107b2o2bobo2b2o96b2obo9bob2o$162b5ob2o3b2ob5o108b4ob4o99b
2o9b2o$164bob2o7b2obo109bo3bobo3bo98bob2o5b2obo$164b4o7b4o107b5obobob
5o95b2ob2o5b2ob2o257b2o9b2o$163b2o13b2o106b2obob5obob2o95b5o5b5o257b2o
9b2o$164b4o7b4o111b2obob2o101bo2bo3bo2bo260b2o7b2o149b2o9b2o$164bob2o
7b2obo219b5ob5o260bo9bo149b2o2b2ob2o2b2o$162b5ob2o3b2ob5o216b2o2b2ob2o
2b2o258b2obo5bob2o149b5ob5o$162b2o2b4o3b4o2b2o217b2obo3bob2o260b3o5b3o
145b2o2b2o3bobo3b2o2b2o$165b2o3bobo3b2o219b2o2b2ob2o2b2o162b2o2bo2b2o
88bo2b2ob2o2bo145b5ob4ob4ob5o$166b2ob2ob2ob2o220b2o2b2ob2o2b2o161bob7o
bo85b2ob4ob4ob2o141b2obo2bobob2ob2obobo2bob2o$165b2o3bobo3b2o393b2o2bo
bo2b2o85b3o3bobo3b3o139b6obo2bobo3bobo2bob6o$166b2ob2ob2ob2o112b2ob2ob
2ob2o269b2obob2ob2obob2o85bob3ob3obo141b2o2bob5ob2ob2ob5obo2b2o$166b2o
b2ob2ob2o112b2ob2ob2ob2o254bo2b2o9bob6ob6obo85b2obobob2o147b2obo2b2o3b
2o2bob2o$288b2o2b2ob2o2b2o253bo2bo10b2obo9bob2o86b2o3b2o148bo3bo9bo3bo
$289b2ob2ob2ob2o254bo3bo10bob2o7b2obo86b2o5b2o$289bobobobobobo254bo2b
2o9b2obo9bob2o85b2o5b2o147bo3bo9bo3bo$288b3o7b3o267bob6ob6obo241b2obo
2b2o3b2o2bob2o$288bo11bo268b2obob2ob2obob2o237b2o2bob5ob2ob2ob5obo2b2o
$287b3o9b3o269b2o2bobo2b2o239b6obo2bobo3bobo2bob6o$288bo11bo270bob7obo
241b2obo2bobob2ob2obobo2bob2o$288b3o7b3o271b2o2bo2b2o244b5ob4ob4ob5o$
289bobobobobobo525b2o2b2o3bobo3b2o2b2o$289b2ob2ob2ob2o530b5ob5o$288b2o
2b2ob2o2b2o528b2o2b2ob2o2b2o$289b2ob2ob2ob2o529b2o9b2o$289b2ob2ob2ob2o
3$457b2o2bobobo2b2o102b2o2bo2b2o$456bob11obo100bob7obo$456b2obo2bobo2b
ob2o100b2obo3bob2o$457bo11bo99b2obob2ob2obob2o$457b2o2bo3bo2b2o85b2o4b
2o5bob6ob6obo$456b2o2b3ob3o2b2o85bo4bo6b2obo9bob2o$457b4obobob4o85bo5b
2o6bob2o7b2obo$457bobo2bobo2bobo86bo4b2o5b2obo9bob2o$455b2ob2ob2ob2ob
2ob2o83b2o11bob6ob6obo$291b2ob2o159b2ob2ob2ob2ob2ob2o97b2obob2ob2obob
2o$291b2ob2o275b2o2bobo2b2o$288b2obo3bob2o272bob7obo$287bob3o3b3obo
272b2o2bo2b2o$287b2obo5bob2o$286b2o2b2o3b2o2b2o$287b4o5b4o$286bobo9bob
o$286b2ob4ob4ob2o$285b2ob2o2bobo2b2ob2o$286b2ob4ob4ob2o$286bobo3bobo3b
obo275b2ob2o16b2ob2o$287b4obobob4o276b2ob2o16b2ob2o$289bob5obo257b2o4b
2o10b2ob2ob2ob2o10b2ob2ob2ob2o$290b2obob2o259bo3bo2bo9b2obo3bob2o10b2o
bo3bob2o$555bo4bo2bo7b2obob2ob2obob2o6b2obob2ob2obob2o$556bo4b2o7bob6o
b6obo4bob6ob6obo$555b2o13b2obo9bob2o4b2obo9bob2o$571bob2o7b2obo6bob2o
7b2obo$570b2obo9bob2o4b2obo9bob2o$570bob6ob6obo4bob6ob6obo$571b2obob2o
b2obob2o6b2obob2ob2obob2o$573b2o2bobo2b2o10b2o2bobo2b2o$573bob7obo10b
2ob2ob2ob2o$574b2o2bo2b2o14b2ob2o$597b2ob2o97$203b2ob2ob2ob2o$203b2ob
2ob2ob2o$204bo2bobo2bo$204b4ob4o$203b2obo3bob2o$204bob2ob2obo9b2o7b2o$
203b5ob5o8b2o7b2o$203bobo5bobo9b2o5b2o$202b2o2bo3bo2b2o8bo7bo$202b3o7b
3o7b2o7b2o$203bo2bo3bo2bo8bo9bo$203b5ob5o9bo7bo$204bo2bobo2bo9b2o7b2o$
204b4ob4o10b2o5b2o$203b2o7b2o9bo7bo$204b4ob4o9b2o7b2o$204bo2bobo2bo9bo
9bo$203b5ob5o7b5o3b5o$203bo2bo3bo2bo7b2ob2o3b2ob2o$202b3o7b3o7bo2b2ob
2o2bo$202b2o2bo3bo2b2o7b4o3b4o$203bobo5bobo9bobo3bobo$203b5ob5o8b2o7b
2o$204bob2ob2obo10b4ob4o$203b2obo3bob2o9bo2bobo2bo$204b4ob4o9b2ob2ob2o
b2o$204bo2bobo2bo9b2ob2ob2ob2o$203b2ob2ob2ob2o$203b2ob2ob2ob2o!

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praosylen
Posts: 2443
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Location: Pembina University, Home of the Gliders
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Re: B3/S345

Post by praosylen » May 4th, 2019, 11:44 am

What seems to be a signal (found accidentally with dr):

Code: Select all

x = 39, y = 48, rule = B3/S345
15b2o4b2o$15b2o4b2o$16bob2obo$15bobob3o$15b2obobob2o$13b2o2b2o3b2o4b2o
$13b3ob3o2bob2o2b2o$15b4o2b2obobobob2o$16bob4obob3o2b2o$16bobobob4o2b
2o2b2ob2o$12b2ob2obo2b2o2b2ob2o2bob3o$12b3ob3o3b2ob2o2b5o$14b2o2bobo3b
ob2obo3bob2o$14b2o3b4ob2obob8o$18b2o2b2o4bobo4bo$18b2o4b5ob2o2b2o$24b
2o3b2o2bobob2o$26b2o2bob4ob2o$26b4o2bobo$28bob2o2bo$20b2o4b3obob4o$20b
2o4b2o3b3obo$21b2ob2o2bob2o3b3o$20b2ob7o3b2ob2o$20b2o8b5o$18b2ob3o2b5o
bo2b3o$16b3obo2b4obobobobob2o$14b3o2b2ob2o2b2o2bob2obo$12b3ob4o2b2ob2o
3b2ob5o$10b4obo3bob2obo3bobob2o2b2o$10b2o2b6obob2ob4o$12b2o4bobo3b3o2b
2ob2o$12b3o2b2ob2ob2o4b2ob2o$13bobo2b2obob2o$3b2obob2o2bob3obo2b2o$3b
5ob6obo2b4o$5bo3bo4bo2b2obo$5b12obo$3b2obobobobo2b5o$2bob2ob2o4b2o3b2o
$4o3b2o5bobo$2o2b4o6b6o$3b2o2bobob2obo3b2o$4b2o2b4ob3o$3b2o8bobo$3b2o
3b2o3b2o$8b2o4b2o$14b2o!
I think there's a translative element and a turn in there, which is probably enough for omniperiodicity, but I'm having trouble fitting the pieces together.

EDIT:
Eaters:

Code: Select all

x = 10, y = 10, rule = B3/S345
4bobo$4bobo$4b3o$5bo3$2bob2o2b2o$4ob5o$2o5bo!

Code: Select all

x = 13, y = 19, rule = B3/S345
5bobo$5bobo$5b2o$5b2o3$2obobo2bobo$13o$2bobo2bobob2o7$6b2o$6b2o$5bobo
$5bobo!
former username: A for Awesome
praosylen#5847 (Discord)

The only decision I made was made
of flowers, to jump universes to one of springtime in
a land of former winter, where no invisible walls stood,
or could stand for more than a few hours at most...

Sarp
Posts: 221
Joined: March 1st, 2015, 1:28 pm

Re: B3/S345

Post by Sarp » May 4th, 2019, 12:14 pm

There is a translative element but I couldn't find a turn

Code: Select all

x = 39, y = 116, rule = B3/S345
15b2o4b2o$15b2o4b2o$16bob2obo$15bobob3o$15b2obobob2o$13b2o2b2o3b2o4b2o
$13b3ob2o3bob2o2b2o$15b4o2b2obobobob2o$16bo2b3obob3o2b2o$16bobobob4o2b
2o2b2ob2o$12b2ob2obo2b2o2b2ob2o2bob3o$12b3ob3o3b2ob2o2b5o$14b2o2bobo3b
ob2obo3bob2o$14b2o3b4ob2obob8o$18b2o2b2o4bobo4bo$18b2o4b5ob2o2b2o$24b
2o3b2o2bobob2o$21b2obo2bo2bob4ob2o$21b9o2bobo$28bob2o2bo$23b2ob3obob4o
$23b2ob2o3b3obo$19b2o4bo2bob2o3b3o$19b2o2b7o3b2ob2o$17b2obobobo5b5o$
17b2o2b3o2b5obo2b3o$12b2ob2o2b2o2b4obobobobob2o$12b3obo2b2ob2o2b2o2bob
2obo$15b5o2b2ob2o3b2ob5o$12b2obo3bob2obo3bobob2o2b2o$12b8obob2ob4o$13b
o4bobo4b2o2b2ob2o$13b2o2b2ob5o4b2ob2o$10b2obobo2b2o3b2o$10b2ob4obo2bo
2bob2o$14bobo2b9o$14bo2b2obo$13b4obob3ob2o$13bob3o3b2ob2o$11b3o3b2obo
2bo4b2o$11b2ob2o3b7o2b2o$14b5o5bobobob2o$11b3o2bob5o2b3o2b2o$11b2obobo
bobob4o2b2o2b2ob2o$13bob2obo2b2o2b2ob2o2bob3o$11b5ob2o3b2ob2o2b5o$11b
2o2b2obobo3bob2obo3bob2o$19b4ob2obob8o$15b2ob2o2b2o4bobo4bo$15b2ob2o4b
5ob2o2b2o$24b2o3b2o2bobob2o$21b2obo2bo2bob4ob2o$21b9o2bobo$28bob2o2bo$
23b2ob3obob4o$23b2ob2o3b3obo$19b2o4bo2bob2o3b3o$19b2o2b7o3b2ob2o$17b2o
bobobo5b5o$17b2o2b3o2b5obo2b3o$12b2ob2o2b2o2b4obobobobob2o$12b3obo2b2o
b2o2b2o2bob2obo$15b5o2b2ob2o3b2ob5o$12b2obo3bob2obo3bobob2o2b2o$12b8ob
ob2ob4o$13bo4bobo4b2o2b2ob2o$13b2o2b2ob5o4b2ob2o$10b2obobo2b2o3b2o$10b
2ob4obo2bo2bob2o$14bobo2b9o$14bo2b2obo$13b4obob3ob2o$13bob3o3b2ob2o$
11b3o3b2obo2bo4b2o$11b2ob2o3b7o2b2o$14b5o5bobobob2o$11b3o2bob5o2b3o2b
2o$11b2obobobobob4o2b2o2b2ob2o$13bob2obo2b2o2b2ob2o2bob3o$11b5ob2o3b2o
b2o2b5o$11b2o2b2obobo3bob2obo3bob2o$19b4ob2obob8o$15b2ob2o2b2o4bobo4bo
$15b2ob2o4b5ob2o2b2o$24b2o3b2o2bobob2o$21b2obo2bo2bob4ob2o$21b9o2bobo$
28bob2o2bo$23b2ob3obob4o$23b2ob2o3b3obo$16b2ob2o4bo2bob2o3b3o$16b5o2b
7o3b2ob2o$20bobobo5b5o$18b2ob3o2b5obo2b3o$16b3obo2b4obobobobob2o$14b3o
2b2ob2o2b2o2bob2obo$12b3ob4o2b2ob2o3b2ob5o$10b4obo3bob2obo3bobob2o2b2o
$10b2o2b6obob2ob4o$12b2o4bobo3b3o2b2ob2o$12b3o2b2ob2ob2o4b2ob2o$13bobo
2b2obob2o$3b2obob2o2bob3obo2b2o$3b5ob6obo2b4o$5bo3bo4bo2b2obo$5b12obo$
3b2obobobobo2b5o$2bob2ob2o4b2o3b2o$4o3b2o5bobo$2o2b4o6b6o$3b2o2bobob2o
bo3b2o$4b2o2b4ob3o$3b2o8bobo$3b2o3b2o3b2o$8b2o4b2o$14b2o!
WADUFI

fluffykitty
Posts: 1175
Joined: June 14th, 2014, 5:03 pm
Contact:

Re: B3/S345

Post by fluffykitty » May 4th, 2019, 6:18 pm

Completed signal loop:

Code: Select all

x = 29, y = 29, rule = B3/S345
9b2o5b2o$9b2o5b2o$7b2obob2o6b2ob2o$7b2o2b3o2b6ob2o$2b2ob2o2b2o2b4obobo
2bo$2b3obo2b2ob2o2b2o2b3obo$5b5o2b2ob2o3bob3o$2b2obo3bob2obo3bobobo2b
2o$2b8obob2ob5obo2b2o$3bo4bobo4bobo2b5o2b2o$3b2o2b2ob6o2b2o3b2ob3o$2ob
obo2b2o3bob2obob2o3bo$2ob4obo2bobobo2bo2b3ob2o$4bobo2b5ob4obob5o$4bo2b
2obo3bo3bob3obo$2b5obob4ob5o2bobo$2b2ob3o2bo2bobobo2bob4ob2o$3bo3b2obo
b2obo3b2o2bobob2o$3ob2o3b2o2b6ob2o2b2o$2o2b5o2bobo4bobo4bo$2b2o2bob5ob
2obob8o$2b2o2bobobo3bob2obo3bob2o$4b3obo3b2ob2o2b5o$4bob3o2b2o2b2ob2o
2bob3o$5bo2bobob4o2b2o2b2ob2o$4b2ob6o2b3o2b2o$4b2ob2o6b2obob2o$11b2o5b
2o$11b2o5b2o!

User avatar
Layz Boi
Posts: 264
Joined: October 25th, 2018, 3:57 pm

Re: B3/S345

Post by Layz Boi » June 27th, 2019, 8:29 pm

Woah, this rule has droves of tiny billiard tables everywhere! :lol: Here's an asymmetric p32.
(found by scribbling randomly in the viewer and examining the explosions)

Code: Select all

x = 17, y = 20, rule = B3/S345
4b2ob2o2b2o$4b2ob2o2b2o$2b2o2bob3ob2o$2b6o2b2o2bo$5bob3o2b3o$2b4obo2b
2o3b2o$2b2obo3b2ob5o$2obob2obob4o$6ob4o3b3o$2bo2b2o3b4ob2o$2b4ob2obobo
bo$2obobo3b2obobo$3ob2obo2b6o$4bob4obobobo$5o4bo3b2o$2ob7obobo$2bo2bo
2bob5o$2ob2ob2ob2o2b2o$2obob3ob2o$4b2o!
At the moment, I don't have the software or patience to transcribe all these onto a .RUL file. :(
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LaundryPizza03
Posts: 2295
Joined: December 15th, 2017, 12:05 am
Location: Unidentified location "https://en.wikipedia.org/wiki/Texas"

Re: B3/S345

Post by LaundryPizza03 » June 29th, 2019, 7:47 am

Layz Boi wrote:Here's an asymmetric p32.
(found by scribbling randomly in the viewer and examining the explosions)

Code: Select all

x = 17, y = 20, rule = B3/S345
4b2ob2o2b2o$4b2ob2o2b2o$2b2o2bob3ob2o$2b6o2b2o2bo$5bob3o2b3o$2b4obo2b
2o3b2o$2b2obo3b2ob5o$2obob2obob4o$6ob4o3b3o$2bo2b2o3b4ob2o$2b4ob2obobo
bo$2obobo3b2obobo$3ob2obo2b6o$4bob4obobobo$5o4bo3b2o$2ob7obobo$2bo2bo
2bob5o$2ob2ob2ob2o2b2o$2obob3ob2o$4b2o!
Stator reduction:

Code: Select all

x = 19, y = 17, rule = B3/S345
7b2ob2o$7b2ob2o$5b2o2bob3ob2o$5b6o2b2ob3o$8bob3o2bob2o$5b4obo2b2o$5b2o
bo3b2o$2ob2obob2obob2o$9ob4o$5bo2b2o3b2o$2b2ob4ob2obo$2b2ob2obo3b2o$7b
2obo2b3o$6obob3o2b2o$2o2b2ob2o3b2o$8b2o2b2o$8b2o!
It does tell us that there is a strategy for finding more oscillators like these:
  1. Run a random soup on a torus
  2. Wait 200 generations
  3. Isolate regions of activity
  4. Run these areas until they become locally periodic
  5. Find the minimal stator for each of these rotors

Code: Select all

x = 4, y = 3, rule = B3-q4z5y/S234k5j
2b2o$b2o$2o!
LaundryPizza03 at Wikipedia

CoolCreeper39
Posts: 58
Joined: June 19th, 2019, 12:18 pm

Re: B3/S345

Post by CoolCreeper39 » August 11th, 2019, 1:51 am

Methuselahs in B3/S345 (Non record-breakers are not counted):

1-cell bounding box: 1G

Code: Select all

x = 1, y = 1, rule = B3/S345
o!
3-cell bounding box: 2G

Code: Select all

x = 1, y = 3, rule = B3/S345
o$o$o!
5-cell bounding box: 3G

Code: Select all

x = 1, y = 5, rule = B3/S345
o$o$o$o$o!
6-cell bounding box: 9G

Code: Select all

x = 2, y = 3, rule = B3/S345
2o$2o$2o!
8-cell bounding box: 11G

Code: Select all

x = 2, y = 4, rule = B3/S345
bo$bo$2o$bo!
9-cell bounding box: 13G

Code: Select all

x = 3, y = 3, rule = B3/S345
2bo$b2o$3o!
10-cell bounding box: 14G

Code: Select all

x = 2, y = 5, rule = B3/S345
2o$2o$bo$2o$2o!
11-cell bounding boxes fail to produce any more record-breakers.


The smallest infinite-growth pattern in B3/S345 is this, with a 9-cell bounding box:

Code: Select all

x = 3, y = 3, rule = B3/S345
2bo$3o$3o!
Compare this with the smallest infinite-growth pattern in Life, with a 24-cell bounding box:

Code: Select all

x = 2, y = 12, rule = B3/S23
2o2$bo$2o$2o$bo$o$2o$2o$o$o$2o!

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LaundryPizza03
Posts: 2295
Joined: December 15th, 2017, 12:05 am
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Re: B3/S345

Post by LaundryPizza03 » June 23rd, 2020, 10:54 pm

Two 2c/5o ships, both from Rocknlol's search:

Code: Select all

x = 47, y = 49, rule = B3/S345
35bo6bo$32bo2b2ob2ob2o2bo$35b8o$33bo2bob2obo2bo$32b3ob2o2b2ob3o$32b3ob
ob2obob3o$5bob2obo23bo2bo2bo2bo$5b2o2b2o22b2o3b2o3b2o$3bo2b4o2bo21bob
2o2b2obo$5b6o23b3ob2ob3o$bo2bo6bo2bo20b8o$2b3o6b3o24b2o$2b3o6b3o$7b2o
28b4o$6b4o27bo2bo$5bob2obo$5bob2obo$6b4o27b4o$3b4o2b4o22b3o2b3o$2bo2b
2o2b2o2bo19bo2b2o2b2o2bo$2b2o8b2o19b4o4b4o$3obo6bob3o15bobo10bobo$3o4b
2o4b3o15b4o2b4o2b4o$6b4o22bo4b4o4bo$5bo4bo26b4o$3bo8bo23bo4bo$bo2b2o4b
2o2bo20bo6bo$b2obo6bob2o16b3obo6bob3o$b2ob2o4b2ob2o17b2ob2o4b2ob2o$2bo
bobo2bobobo18b2obob4obob2o$3b3ob2ob3o22b2ob2ob2o$2b3obo2bob3o19bobobo
2bobobo$2b2o3b2o3b2o19b4ob2ob4o$6b4o23b3ob4ob3o$3bobo4bobo22bob4obo$b
3o8b3o17bobo8bobo$b3obo4bob3o17b4o6b4o$33bo3b4o3bo$6b4o27b4o$6b4o$4b8o
23bo6bo$4b8o22b2ob4ob2o$4bo6bo$7b2o$2bo3bo2bo3bo22b2o2b2o$3bob6obo20bo
b8obo$3bo2bo2bo2bo20b2o2bo2bo2b2o$3b4o2b4o21b3o4b3o$4bo6bo22b2o6b2o!

Code: Select all

x = 4, y = 3, rule = B3-q4z5y/S234k5j
2b2o$b2o$2o!
LaundryPizza03 at Wikipedia

bprentice
Posts: 920
Joined: September 10th, 2009, 6:20 pm
Location: Coos Bay, Oregon

Re: B3/S345

Post by bprentice » July 16th, 2021, 3:41 pm

A 3 state 'Generations' version of this rule.

Some Oscillators:

Code: Select all

x = 241, y = 130, rule = B3/S345/3
133.2A.2A82.BA$132.A.3A.A67.2A.2A6.2A.2A$132.2A.A.2A66.A.3A.A.2A.A.
3A.A$88.BA43.2A.2A60.2A.2A2.2A.A.2A.2A.2A.A.2A2.2A.2A$85.2A.2A42.2A
.A.2A58.A.3A.A.2A.A.2A4.2A.A.2A.A.3A.A$84.A.3A.A41.A.3A.A58.2A.A.2A
.A.3A.A4.A.3A.A.2A.A.2A$26.BA56.2A.A.2A42.2A.2A56.2A.2A.A.2A2.2A.2A
6.2A.2A2.2A.A.2A.2A$14.2A2.2A2.2A2.2A57.2A.2A104.2A.A.3A.A16.AB2.A.
3A.A.2A$14.2A2.2A2.2A2.2A56.2A.A.2A42.2A.2A54.2A4.2A.2A22.2A.2A4.2A
$12.2A2.2A2.2A2.2A2.2A54.A.3A.A41.A.3A.A53.2A40.2A$12.2A2.2A2.2A2.2A
2.2A49.2A.2A.2A.2A.2A.2A36.2A.A.2A$30.2A46.A.3A.A5.A.3A.A36.2A.2A52.
4A40.4A$30.2A46.2A.A.2A5.2A.A.2A35.2A.A.2A50.A.2A.A38.A.2A.A$28.2A49.
2A.2A7.2A.2A36.A.3A.A50.2A2.2A38.2A2.2A$28.2A48.2A.A.2A5.2A.A.2A36.
2A.2A52.4A40.4A$30.2A46.A.3A.A5.A.3A.A92.2A2.2A38.2A2.2A$30.2A41.2A
.2A.2A.2A7.2A.2A.2A.2A31.2A.2A51.A.2A.A38.A.2A.A$28.2A42.A.3A.A17.A
.3A.A29.A.3A.A51.4A40.4A$28.2A42.2A.A.2A17.2A.A.2A29.2A.A.2A$30.2A41.
2A.2A19.2A.2A31.2A.2A50.4A44.4A$30.2A40.2A.A.2A17.2A.A.2A29.2A.A.2A
48.A.2A.A42.A.2A.A$28.2A42.A.3A.A17.A.3A.A29.A.3A.A48.2A2.2A42.2A2.
2A$28.2A37.2A.2A.2A.2A19.2A.2A.2A.2A3.2A.2A3.2A.2A3.2A.2A.2A.2A50.4A
44.4A$30.2A34.A.3A.A29.A.3A.A.A.3A.A.A.3A.A.A.3A.A54.2A2.2A42.2A2.2A
$30.2A34.2A.A.2A29.2A.A.2A.2A.A.2A.2A.A.2A.2A.A.2A54.A.2A.A42.A.2A.
A$32.2A33.2A.2A31.2A.2A3.2A.2A3.2A.2A3.2A.2A56.4A44.4A$32.2A32.2A.A
.2A29.2A.A.2A.2A.A.2A.2A.A.2A.2A.A.2A$34.2A30.A.3A.A29.A.3A.A.A.3A.
A.A.3A.A.A.3A.A55.2A48.2A$34.2A25.2A.2A.2A.2A25.2A.2A.2A.2A3.2A.2A3.
2A.2A3.2A.2A.2A.2A7.2A.2A7.2A.2A26.2A48.2A$36.2A22.A.3A.A29.A.3A.A29.
A.3A.A5.A.3A.A5.A.3A.A$36.2A22.2A.A.2A29.2A.A.2A29.2A.A.2A5.2A.A.2A
5.2A.A.2A25.4A44.4A$38.2A21.2A.2A31.2A.2A31.2A.2A7.2A.2A7.2A.2A25.A
.2A.A42.A.2A.A$38.2A20.2A.A.2A29.2A.A.2A29.2A.A.2A5.2A.A.2A5.2A.A.2A
24.2A2.2A42.2A2.2A$40.2A18.A.3A.A29.A.3A.A29.A.3A.A5.A.3A.A5.A.3A.A
25.4A44.4A$40.2A19.2A.2A.2A.2A19.2A.2A.2A.2A31.2A.2A.2A.2A.2A.2A.2A
.2A.2A.2A25.2A2.2A42.2A2.2A$5.2A35.2A22.A.3A.A17.A.3A.A41.A.3A.A5.A
.3A.A30.A.2A.A42.A.2A.A$5.2A35.2A22.2A.A.2A17.2A.A.2A41.2A.A.2A5.2A
.A.2A31.4A44.4A$40.2A25.2A.2A19.2A.2A43.2A.2A7.2A.2A$5.2A33.2A24.2A
.A.2A17.2A.A.2A41.2A.A.2A5.2A.A.2A33.4A40.4A$5.2A31.2A26.A.3A.A17.A
.3A.A41.A.3A.A5.A.3A.A32.A.2A.A38.A.2A.A$38.2A27.2A.2A.2A.2A13.2A.2A
43.2A.2A7.2A.2A33.2A2.2A38.2A2.2A$5.2A29.2A34.A.3A.A111.4A40.4A$5.2A
29.2A34.2A.A.2A110.2A2.2A38.2A2.2A$34.2A37.2A.2A111.A.2A.A38.A.2A.A
$5.2A27.2A36.2A.A.2A111.4A40.4A$5.2A25.2A38.A.3A.A$32.2A39.2A.2A.2A
.2A108.2A40.2A$5.2A23.2A46.A.3A.A107.2A4.2A.2A22.2A.2A4.2A$5.2A23.2A
46.2A.A.2A109.2A.A.3A.A20.A.3A.A.2A$7.2A.2A.2A.2A.2A.2A.2A.2A49.2A.
2A110.2A.2A.A.2A2.2A.2A6.2A.2A2.2A.A.2A.2A$7.2A.2A.2A.2A.2A.2A.2A.2A
48.2A.A.2A112.2A.A.2A.A.3A.A4.A.3A.A.2A.A.2A$78.A.3A.A112.A.3A.A.2A
.A.2A4.2A.A.2A.A.3A.A$79.2A.2A114.2A.2A2.2A.A.2A.2A.2A.A.2A2.2A.2A$
205.A.3A.A.2A.A.3A.A$206.2A.2A6.2A.2A19$65.2A.2A79.BA$65.5A66.2A11.
2A$63.2A71.2A11.2A$63.2A2.3A64.2A2.2A7.2A2.2A$64.A.A.2A63.A.A2.A.A5.
A.A2.A.A$28.BA33.2A.2A2.2A.2A58.2A.2A.2A5.2A.2A.2A$15.2A.2A5.2A.2A33.
2A.2A2.2A.2A56.2A2.A2.A2.2A.2A2.A2.A2.2A$15.5A5.5A38.2A.A.A57.2A2.A
2.A2.2A.2A2.A2.A2.2A$20.2A.2A43.3A2.2A58.2A.2A.2A5.2A.2A.2A$15.3A2.
2A.2A2.3A43.2A58.A.A2.A.A5.A.A2.A.A$15.2A.A.A3.A.A.2A38.5A61.2A2.2A
7.2A2.2A$10.2A.2A2.2A.2A.2A.2A2.2A.2A33.2A.2A63.2A11.2A69.BA$10.2A.
2A2.2A.2A.2A.2A2.2A.2A101.2A11.2A66.2A.2A$11.A.A.2A11.2A.A.A34.2A.2A
61.2A15.2A57.2A.2A.A.3A.A$10.2A2.3A11.3A2.2A33.5A61.2A15.2A57.2A.2A
.2A.A.2A$10.2A21.2A38.2A57.2A2.2A11.2A2.2A56.A.A3.2A.2A$5.2A.2A2.5A
11.5A2.2A.2A28.3A2.2A56.A.A2.A.A9.A.A2.A.A54.2A.2A.2A.A.2A$5.5A2.2A
.2A11.2A.2A2.5A28.2A.A.A57.2A.2A.2A9.2A.2A.2A54.2A.2A.A.3A.A$10.2A21.
2A28.2A.2A2.2A.2A54.2A2.A2.A2.2A5.2A2.A2.A2.2A47.2A.2A7.2A.2A.2A.2A
$5.3A2.2A21.2A2.3A23.2A.2A2.2A.2A54.2A2.A2.A2.2A5.2A2.A2.A2.2A47.5A
7.AB3.A.3A.A$5.2A.A.A23.A.A.2A24.A.A.2A61.2A.2A.2A9.2A.2A.2A66.2A.A
.2A$2A.2A2.2A.2A21.2A.2A2.2A.2A18.2A2.3A61.A.A2.A.A9.A.A2.A.A49.5A13.
2A.2A$2A.2A2.2A.2A21.2A.2A2.2A.2A18.2A67.2A2.2A11.2A2.2A50.2A.2A12.
2A.A.2A$.A.A.2A31.2A.A.A21.5A64.2A15.2A69.A.3A.A$2A2.3A31.3A2.2A20.
2A.2A64.2A15.2A52.2A.2A13.2A.2A$2A41.2A87.2A19.2A49.A.3A.A$2.5A31.5A
2.2A.2A15.2A.2A62.2A19.2A49.2A.A.2A12.2A.2A$2.2A.2A31.2A.2A2.5A15.5A
60.2A2.2A15.2A2.2A48.2A.2A13.5A$43.2A18.2A64.A.A2.A.A13.A.A2.A.A46.
2A.A.2A$43.2A2.3A13.2A2.3A59.2A.2A.2A13.2A.2A.2A46.A.3A.A12.5A$44.A
.A.2A14.A.A.2A57.2A2.A2.A2.2A9.2A2.A2.A2.2A45.2A.2A.2A.2A7.2A.2A$43.
2A.2A2.2A.2A8.2A.2A2.2A.2A52.2A2.A2.A2.2A9.2A2.A2.A2.2A50.A.3A.A.2A
.2A$43.2A.2A2.2A.2A8.2A.2A2.2A.2A54.2A.2A.2A13.2A.2A.2A52.2A.A.2A.2A
.2A$48.2A.A.A14.2A.A.A55.A.A2.A.A13.A.A2.A.A53.2A.2A3.A.A$48.3A2.2A
13.3A2.2A55.2A2.2A15.2A2.2A53.2A.A.2A.2A.2A$53.2A18.2A57.2A19.2A55.
A.3A.A.2A.2A$48.5A2.2A.2A8.5A59.2A19.2A56.2A.2A$48.2A.2A2.5A8.2A.2A
57.2A23.2A$53.2A75.2A23.2A$53.2A2.3A8.2A.2A55.2A2.2A19.2A2.2A$54.A.
A.2A8.5A54.A.A2.A.A17.A.A2.A.A$53.2A.2A2.2A.2A.2A59.2A.2A.2A17.2A.2A
.2A$53.2A.2A2.2A.2A.2A2.3A8.2A.2A39.2A2.A2.A2.2A13.2A2.A2.A2.2A$58.
2A.A.A3.A.A.2A8.5A39.2A2.A2.A2.2A13.2A2.A2.A2.2A$58.3A2.2A.2A.2A2.2A
.2A.2A46.2A.2A.2A17.2A.2A.2A$63.2A.2A.2A2.2A.2A.2A2.3A8.2A.2A28.A.A
2.A.A17.A.A2.A.A$58.5A8.2A.A.A3.A.A.2A8.5A29.2A2.2A19.2A2.2A$58.2A.
2A8.3A2.2A.2A.2A2.2A.2A.2A36.2A23.2A$76.2A.2A.2A2.2A.2A.2A2.3A31.2A
23.2A$71.5A8.2A.A.A3.A.A.2A$71.2A.2A8.3A2.2A.2A.2A2.2A.2A$89.2A.2A.
2A2.2A.2A$84.5A8.2A.A.A$84.2A.2A8.3A2.2A$102.2A$97.5A$97.2A.2A!
The rule has oscillators of every period greater than 2. The first 15 of these:

Code: Select all

x = 92, y = 39, rule = B3/S345/3
7.BA15.BA15.BA3.BA17.BA19.BA$7.2A15.2A14.2A.2A.2A17.2A16.2A.2A$5.A.
2AB14.2A14.2A.2A.2A17.2A16.2A.2A$4.B2A.A15.AB14.AB3.AB16.2A18.AB$5.
2A56.2A$5.AB56.AB8$5.BA17.BA20.BA12.BA22.BA$5.2A14.2A.2A14.2A.2A.2A
12.2A22.2A$5.2A14.2A.2A14.2A.2A.2A12.2A22.2A$23.AB.2A12.AB20.2A.2A19.
2A$26.2A34.2A.2A19.2A$67.2A$67.2A$67.AB5$9.BA13.BA11.BA21.BA15.BA$2A
.2A.2A.2A10.2A.2A11.2A21.2A15.2A$2A.2A.2A.2A10.2A.2A11.2A21.2A15.2A
$AB37.2A21.2A15.2A$39.2A21.2A15.2A$41.2A.2A18.2A15.2A.2A$41.2A.2A18.
2A15.2A.2A$46.2A38.2A$46.2A38.2A$48.2A38.2A$48.2A38.2A$48.AB40.2A$90.
2A$90.AB!
A replicator and oscillator:

Code: Select all

x = 3, y = 4, rule = B3/S345/3
.B$3A$3A$.B!

Code: Select all

x = 31, y = 31, rule = B3/S345/3
5.AB.BA3.AB.BA$5.2A.2A3.2A.2A$5.2A.2A3.2A.2A$5.AB.BA3.AB.BA2$4A$B2A
B2$B2AB$4A4$4A23.4A$B2AB23.B2AB2$B2AB23.B2AB$4A23.4A4$27.4A$27.B2AB
2$27.B2AB$27.4A2$13.AB.BA3.AB.BA$13.2A.2A3.2A.2A$13.2A.2A3.2A.2A$13.
AB.BA3.AB.BA!
Ships:

Code: Select all

x = 5, y = 39, rule = B3/S345/3
2.2A$B.B2A$.3A$.B13$.B$.3A$2.B2A$.3A$.B13$.B$.3A$2.B2A$2.B2A$.3A$.B!
Still life patterns:

Code: Select all

x = 143, y = 12, rule = B3/S345/3
2A19.2A.2A20.2A.2A22.2A.2A26.2A.2A27.2A$2A19.2A.2A19.A.3A.A21.5A25.
A.3A.A.2A23.2A$22.A.A20.2A.A.2A19.2A30.2A.A.2A.2A21.2A2.2A$21.2A.2A
20.2A.2A20.2A2.3A22.2A.2A.A.2A23.A.A2.A.A$21.2A.2A19.2A.A.2A20.A.A.
2A22.2A.A.3A.A23.2A.2A.2A$45.A.3A.A19.2A.2A2.2A.2A21.2A.2A22.2A2.A2.
A2.2A$46.2A.2A20.2A.2A2.2A.2A48.2A2.A2.A2.2A$76.2A.A.A51.2A.2A.2A$76.
3A2.2A50.A.A2.A.A$81.2A51.2A2.2A$76.5A55.2A$76.2A.2A55.2A!
With this minor change,

R.png
R.png (103.36 KiB) Viewed 1414 times

The rule is omniperiodic.

The first 18 oscillators:

Code: Select all

#Rule = Rule Table
#States = 3
#Counts = 9
#SW 0,1,0
#NW 0,0,0,0,0
#NW 0,1,1,1,0
#NW 0,1,0,1,0
#NW 0,1,1,1,0
#NW 0,0,0,0,0
#RT 0,0,0,1,0,0,0,0,0
#RT 2,2,2,1,1,1,2,2,2
#RT 1,0,0,0,0,0,0,0,0
#Rows = 39
#Columns = 112
#L 4.A18.BA15.BA16.BA3.BA16.BA19.BA$23.2A15.2A15.2A.2A.2A16.2A16.2A.2A
#L $21.A.2AB14.2A15.2A.2A.2A16.2A16.2A.2A$20.B2A.A15.AB15.AB3.AB15.2A18.
#L AB$21.2A56.2A$21.AB56.AB7$3.BA17.BA20.BA13.BA20.BA23.BA$3.2A14.2A.2A
#L 14.2A.2A.2A13.2A20.2A14.2A.2A.2A.2A$3.2A14.2A.2A14.2A.2A.2A13.2A20.
#L 2A14.2A.2A.2A.2A$21.AB.2A12.AB21.2A.2A17.2A12.AB$24.2A35.2A.2A17.2A
#L $66.2A$66.2A$66.AB6$3.BA10.BA22.BA13.BA22.BA30.BA$2A.2A10.2A22.2A13.
#L 2A22.2A15.2A.2A.2A.2A.2A.2A$2A.2A10.2A22.2A13.2A22.2A15.2A.2A.2A.2A
#L .2A.2A$17.2A22.2A13.2A22.2A.2A10.AB$17.2A22.2A13.2A22.2A.2A$19.2A.2A
#L 19.2A13.2A.2A$19.2A.2A19.2A13.2A.2A$24.2A37.2A$24.2A37.2A$26.2A37.2A
#L $26.2A37.2A$26.AB39.2A$67.2A$67.AB
See also this related thread:

https://www.conwaylife.com/forums/viewt ... 045#p49184

Brian Prentice
Last edited by bprentice on July 17th, 2021, 8:53 am, edited 1 time in total.

User avatar
wwei47
Posts: 1648
Joined: February 18th, 2021, 11:18 am

Re: B3/S345

Post by wwei47 » July 16th, 2021, 4:30 pm

2c/5 wickstretcher with 6c/16 fuse:

Code: Select all

x = 31, y = 7, rule = 345/3/3
2.B2.A.A.A.A.A.A.A.A.A.A.A$.A.26A$B2A.A.A.A.A.A.A.A.A.A.A.A.A.2A$28.3A
$B2A.A.A.A.A.A.A.A.A.A.A.A.A.2A$.A.26A$2.B2.A.A.A.A.A.A.A.A.A.A.A!
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
May13
Posts: 786
Joined: March 11th, 2021, 8:33 am

Re: B3/S345

Post by May13 » September 22nd, 2021, 4:49 am

(2,1)c/5 wave (spacefiller):

Code: Select all

x = 14, y = 45, rule = B3/S345:T4000+9,45
9b2obo$8b2ob2o$9b2o2bo$9bob2o$9b3obo$8b2obo$7b2ob2o$8b2o2bo$8bob2o$8b
3obo$7b2obo$6b2ob2o$7b2o2bo$7bob2o$7b3obo$6b2obo$5b2ob2o$6b2o2bo$6bob
2o$6b3obo$5b2obo$4b2ob2o$5b2o2bo$5bob2o$5b3obo$4b2obo$3b2ob2o$4b2o2bo$
4bob2o$4b3obo$3b2obo$2b2ob2o$3b2o2bo$3bob2o$3b3obo$2b2obo$b2ob2o$2b2o
2bo$2bob2o$2b3obo$b2obo$2ob2o$b2o2bo$bob2o$b3obo!
[[ ZOOM 4 TRACK -11/25 0 ]]
(2,1)c/5 partials from unsuccessful w23 floating-rows search in LSSS:

Code: Select all

x = 206, y = 29, rule = B3/S345
2$187bo$185b3ob4o$107bo76b2obo2bobo$105b3obo74b3obo3b2o$104b2o2bobo73b
o2b2obo$28bo74b2o3b4o71b3o2bobobo3b3o$23bo3b4o69bo2bo5bo2bo69b2o2b2obo
b2o3b3o$18bo3b6obo69b3obobo3b2o41bo30b2o3bob2obo3b3o$13bo3b6obobo3bo
36bo32bo2bo2b3o2bo39b4o26b3o4b3ob2obobobo$12b6obobobob4o33bo3b4o24bo5b
3ob2ob2obo35b2o2b2o2bob3o22b2o8b2o3b5o$11b2obobobob4obo31bo3b6obob2o
21b3ob8obo38b4ob2o4b2o23bo4b3ob2o3bo4bo$15b4obo3bobo24bo4b6obobobob3o
20b4ob4o4b2obo36b3o3bob3o2bo25bobo2b2obo4b2ob2o$10bo2bobo3bob4ob2o21b
3o3b2obobobob3o2bo20b2o4bo3b4obo3bo32bo2bo3bo3bo3bo2bo22bo2b2ob4obo2b
2o$7b4obo6bobo3bo22b2o2bo6b3o2bo5bo19b2o4b2obo2bo3b2o30b4o2b2o3b7obob
3o21bo3b2ob2ob7o$7b2o3bo2b2o3bob2obo21b2o3b2o4b2o8b2o24bob2o2b4ob2o30b
3o2bo3b2ob4obo5bobo21b2o2bo4bobobo$8bo3bob2obo2bobo24bo2b2obo6b2o4bo
22bo3bo2b3obo36b2obob5obo2b2ob2o3b2obo21b2o3bo3b5o$5b4o2bo3bobo29b3o9b
o5bo21b4o2b2o2b2o6bobo28b2o10b2o11b2o22bo3bo2bo5b4o$4b2o7b6o27bo3b3o
11b2o20b2o2b3o4bob2o2b3obo28b4o5b3o39b2o2b3obobo3b2o$3b2ob3o7b3o25b2o
3bob4o4b2o3b3o20b2o9b2o2bobobo26bo2bo3b5o3b2o36bo3bo2bobobobob2o$3b2ob
ob5o2bobo26b3obo4bob2ob4o25bob4o4b2ob2o4bo24b3obobobo3bobo2bobo32b3obo
3bo3bobobob2o$2b3o4b2o3bo31b2ob2obob2o3bo2bo22bo11bob2obob2ob2o21b2o2b
obo3b2obob3obo33b2o2bo2bo3b3o3b3o$45b4o3bobo3bob2o22b12ob5o27b2obobo4b
o3bo2bo2b2o37bo4b4o$46b2ob3obo3bo2bo23bob10obobobo2bo24bo2bo9b2ob2o34b
2ob2ob2o4bo2b2ob2obo$48b2o3bobobo2b2o23bo3bobob4o6bo25b3ob2ob2o3b2ob2o
bo33b4obo3b3o3bo$47b4o4bobo76b3ob2ob3o2bo34bo2b2o2b2o2bo4bobobo$135bo
4b3o2b2o38b4o4bobobo3bo$128b4o4b4o2b3o!
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

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