Sawtooth-based PRNG

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.
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nokangaroo
Posts: 81
Joined: February 16th, 2017, 6:21 pm

Sawtooth-based PRNG

Post by nokangaroo » May 12th, 2020, 3:42 pm

Accidental discovery while playing around with sawtooth patterns (I know there's an "accidental discoveries" thread, but this may actually be worth a thread of its own). Careful, you may run out of memory trying it out. If you have at least 8GB of memory, increase Golly's limit to use it.

Question: How do I determine the K factor (see Dean Hickerson's randomness table) or its equivalent, since this pattern can't be periodic, even though the block sequence must be?

Code: Select all

x = 284, y = 226, rule = B3/S23
42bo$40b3o$39bo$39b2o2$35bo$25bo8bobo$24bobobo4bo2bo$21bo7b2o3b2o$20bo
b3o2bo$21bob4o$17bo6bo$16bobo2bo2b2o$15bo2bo3bob2o$16b2o3bo$18b3o$18bo
$19bo$16b3o$16bo$9bo$9b3o$12bo8bobo$11b2o8b2o$22bo$51b2o$3b2o46bobo$3b
o47bo$2obo$o2b3o4b2o$b2o3bo3b2o38b2o2bo$3b4o44b3obo$3bo15b2o30bo3bo32b
o11b2o$4b3o12bobo30b3o32bobo10b2o$7bo13bo15b2o14bo25bo3b2o2bobo$2b5o
14b2o15bo31b2o6bobo2bo2b2ob2o$2bo35bobo29b2o6bobo3bobo$4bo23bo10b2o13b
3o22bob4o2bob2o$3b2o21b3o52bo3bobob2o$25bo28bo25bo3bobo$25b2o24b2obo2b
o21bo3bobo$10b2o36bobo6bo2b2o17b2o3bo$11bo35bobo4bobo3b2o$11bob2o32bob
o4b2o$12bo2bo66bo2bo$13bobo65bo3b2o5b2o$22b2o57bo3bo6b2o$15bobo2bo2bo
57bo3bo21b2o$16bo2b2o4bo56bo2bo20bo2bo$19b2o6bo56bo22b2obo$19bo2b2ob3o
32b2o48bo17bo11b2o$19bo3b5o9bo3b2o17b2o48b2o15bobo10b2o$19bo16bobo3bo
52b2o18bo3bo3b2o2bobo$23bo11bobo3bo13bo40bo16b3o2bobo2bo2b2ob2o$20bo2b
o7b2obobo3bo15bo36b3o16bo5bobo3bobo$20b3o8b2obo2b4obo5b2o4b3o24b2o10bo
15b2o2bo5bob4o2bob2o$35bobo3bobo5bo31bobo24bob4o7bo3bobob2o7bo$31b2ob
2o2bo2bobo2b3o34bo24bob2o8bo3bobo10b3o$32bobo2b2o3bo3bo36b2o23b3o8bo3b
obo10bo2b2o$20b2o10bobo74bobo7b2o3bo10b2o$20b2o11bo75bo2bo22bobo3bo$
110b2o24b2o$137b2o4bo$138b2o3b3o$110b2o25b2o4bo$110b2o24b2o9b2o$135bob
o3bo4bo2bo$111bo35b2obo$100b2o7b4o26b2o9bo$100b2o6bo4b2o35b2o$107bo3bo
b2o20b2o$104b2o2bob3ob2o20bo$104b2o4b2ob3o17b3o21b2o$113b3o5b2o10bo23b
o$121bobo35bo$123bo15b2o14b5o$123b2o15bo13bo$82bo30bo26bobo12b3o$83bo
25b3obo27b2o15bo$81b3o24bo3bo42b4o$108bo41b2o3bo3b2o$108bob2o38b2o4b3o
2bo$109bo48bob2o$158bo$157b2o$87bo$88bo$86b3o60b2o$149bo$136b3o11b3o$
138bo13bo$137bo7bo$143b3o$142bo$143bo$142b2o$137bo2b2o2b2o$140b4o2bo$
136b2o2bo2bobo$137bo6bo$134b3o3bo$132bo4bobobo$126b2o4bobob2o2bo22bo$
125bo2bo3bo2b3o$125bobo33b3obo$126bo24bo8bob2o$151b3o6b2obo$121b2o31bo
3bob3o$122bo30b2o$114bo4b3o38bo$115bo3bo36bo$113b3o39bobo$151b2o2b2o$
151b2o4$152bo$152b2o$151bobo10$119b3o12b3o$118bo$118bo3bo$118bo2bobo$
120bobo2bo142b2o$121bo3bo142b2o$125bo$122b3o$127bo$126bobo$127b2o139b
2o$123b2o143bobo$122bobo145bo5b2o$122bo5b2o138bobo5b2o$121b2o5b2o137bo
$267bobo$267bo2$263b3o$262bo$262bo2bo12b2o$263bo14b3o$264b2o11bo2bo$
264bobo11bo3bo$263b2o14bob3o$263b2o16b2o$262b3o15b3o$261b2o17b2o$257bo
2b2o18bo$258b3o20b2o$259bo$204bobo$203bo2bo57b2o$198bobo2bob2o29bo27b
2o$197bo2bo2bo31bobo20bo20bo$196b2o6bo30b2o20bo21b2o$175b2o19b3o2bo2bo
53bo20bo2bo$174bo2bo17bo2b2ob3o$176bo19bo2b3o78bobo$172bo3bo19b3o3bo
78bo$171bo30bo$160b2o9b3o82b2o$160b2o93b3o$256b2o$164bo93bo$163bobo73b
3o16bo$163bo2bo72b3o16bo$148b2o14b2o73bo$148b2o81b2ob2o2bo$231bo3b4o3b
3o$141b3o64b4o19bobob2obo$141bo2bo62bo4bo6b3o17bo$144b2o22bo9b2o27bo
12bo2bo$140b2ob2o21b2o9bo2bo27bo2bo12bo$140bo2b2o22b2o9b2o29b2o10bobo$
156b2o$137bo18b2o$135b3o$134bo3b2o68b2o$134bo3b2o68b3o$186b2o20b2o$
136bobo46bo2bo14b2ob3o$137bo48b2o14bob4o$133b2o64b2ob2ob2o$133b2o64bo$
161bo37bo16bo$132bo25bo3bo37bobo11b2ob3o$131b2o24bo5bo36bobo13b3ob2o$
130bobo25b2ob2o31b2o21bo$193bo2bo$129bobo3b2o21bo35b2o22bo$128bo2bo3b
2o21b4o56bo$128bo30bobo56bo$127bo4bobo26bo56bobo$128bo2b2o27b3o56bo$
129b2o28b2ob2o$144b4o12b3o$144bo3b2o11bo40b2o$144bo4bo52b2o13bo$145b3o
68b2o$123b2o91bo$123b2o92bobo$146b3o68bo2bo$146b2o70bobo$147bo70bobo$
148bo70bo3$131b2o$131b2o12b2o$145b2o$145bobo$145b3o$146bo2bo$146b2ob2o
$147bobo$148bo!

Edit:

I found more solutions that also seem to have pseudorandom behaviour (I'm pretty sure they have different randomness - note that in the second example the distance between the 2 downward glider streams is greater, which means that there is a constant difference in travel time from the fanout to the cordership. This seems a likely equivalent to the loop length in Dean Hickerson's PRNGs).

The first example is a slight modification of the original which produces larger and better visible output:

Code: Select all

x = 270, y = 210, rule = B3/S23
42bo$40b3o$39bo$39b2o2$35bo$35bo$25bo3bo3b3o$21bo2b2ob3o$20bobo3bobo$
21bo3b3o$17bo$16bobo2bo2b2o6bo$15bo2b7o5b2o$16b2o5b2o6b2o$18bo$18bobo$
19bo$16b3o$16bo$9bo$9b3o$12bo$11b2o3$3b2o$3bo$2obo$o2b3o4b2o$b2o3bo3b
2o$3b4o$3bo15b2o67bo11b2o$4b3o12bobo65bobo10b2o$7bo13bo15b2o40bo3b2o2b
obo$2b5o14b2o15bo31b2o6bobo2bo2b2ob2o$2bo35bobo29b2o6bobo3bobo$4bo23bo
10b2o38bob4o2bob2o$3b2o21b3o52bo3bobo$25bo54bo3bobo2bo2bo$25b2o19bo4bo
27bo3bobo6bo$10b2o34b2o3b2o7b2o17b2o3bo5bo$11bo35b2o3b2o6b2o28b2o3bo$
11bob2o7bo23bo4b2o39bo$12bo2bo7b2o25b2o40b2ob2o$13b2o7b2o$28b2o$28b2o
7bo69b2o$35b2o32b2o35bo2bo$36b2o29b2obo36b2obo$36b2o22b2o4bo3bo39bo17b
o11b2o$37bo3b2o17b2o4bo43b2o15bobo10b2o$36bobo3bo24bo27b2o18bo3bo3b2o
2bobo$35bobo3bo24bo29bo16b3o2bobo2bo2b2ob2o$31b2obobo3bo25bo26b3o16bo
5bobo3bobo$31b2obo2b4obo5b2o14b2ob2o12b2o10bo18b2o5bob4o2bob2o$35bobo
3bobo5bo14b2ob2o12bobo37bo3bobob2o$31b2ob2o2bo2bobo2b3o16bo17bo36bo3bo
bo$32bobo2b2o3bo3bo18bo17b2o34bo3bobo$20b2o10bobo31bo3b2o47b2o3bo$20b
2o11bo33bo3bo$65bo2bo2bo$65bo4bo$65b2ob2o52b2o8b2o$68b2o51bobo8b2o$
117bo5bo23b2o$114b2o2bo27bo2bo$113bo5bo20b2o5b2obo$73bo26b2o10b2ob2o
23bobo7bo$71bobo26b2o11b4o3bo19bo9b2o$72b2o40bo4bo15b2o$116b3o17bo$
116bo16b3o21b2o$121b2o10bo23bo$121bobo35bo$123bo15b2o14b5o$78bo44b2o
15bo13bo$76bobo61bobo12b3o$77b2o62b2o15bo$155b4o$150b2o3bo3b2o$150b2o
4b3o2bo$158bob2o$158bo$157b2o3$149b2o$149bo$150b3o$152bo$145bo$143b3o$
142bo$141bobo$141b3o$140b2o2b2o$136b5o2bo2bo$127b2o14bobo$126bobo6bo3b
o4bo$105bo22bo6bo4bo$103bobo29bo5bo$104b2o18bo7b3ob2ob2o$124bobo5bo3bo
$124b3o9bo2$158bo$121b2o35b2o$110bo11bo34b2obo$108bobo8b3o34bo2b3o$
109b2o8bo26bo8bobobo$146b3o5bobobo$149bo2b3o2bo$148b2o3bob2o$154b2o$
151bo3bo$150bobo$146b2o2b2o$146b2o101b3o$249bobo$249bo2bo$250bo2bo$
250b3o$250bo2$247b2o11b2o$246b3o11b2o$245bo2b2o$119b2o128bo$247b3o$
117bo3bo123b2ob2o$117bo4bo120b2obo$119bobobo119bo2b2o4b2obo7b3o$120bob
obo119b2o6b4o8b2o$121bo4bo124bo3bo5b2o3bo$122bo3bo125b3o7bobobo$243bob
o6b3o9b2o$123b2o2bo115bo2bo7bo$126bobo112b2o2bo$127b2o112bo2bo$123b2o
116bo5bo$122bobo117bo4bo$122bo5b2o114bob2o$121b2o5b2o2$248b2o$220bo27b
2o10b3o$219bobo38b4o$219b2o38bo3b2o$264bo2b3o$259b2ob2o3bobo$260b4o3b
3o$238bo22bo$237bo2bo$236bo4bo$212b3o22b2o2bo3bo$176bobo32bo2bo21b2obo
bo2bobo$176b2o33b2obo11b2o8b2o3bobo3bo$177bo48b4o6bo3bo3bobo$230bo6b2o
6bo$204bobo19b3obob2o$202b2o2b2o9bob3o4bo3bo3bo$124b3o75b2o3b2o11b2o4b
o4bo2bo$124b4o74b2o2b2o4b3o15bo3bo$128bo74b2ob2o19b2o4bo$125bobo34b2o
40b2o26bo$125bobo33bo2bo64b3o$125b2o35b2o$205b3o$139b2o64bobo$139b2o
64b3o2$144bobo$144b2o24b2o$145bo23bo2bo12bo7bo$170b2o12bo2bo7bo$184bob
2o4bo2bo$142bo42b2o5b3o6bo2bo$140b2obo60bo$140bo4bo59bo$141bo3b2o57bo$
143b4o31b2o17bo4b2o$177bo2bo16bo4bo$178b2o18bo$144bo$143bobo$144bo2$
130bo$121b2o6b3o$117b2ob3o4b2obobo53b2o12b2o$116b3ob2o10b2o7bobo42b2o
11bo$117b2ob3o4bo4bo8bo2bo59bob2o$120b2o6b4o9bo2bo54bo6bo$106b2o22bo
13bo61bo2bo$106b2o35b3o52b4o4bo2bo$197bobo2bob3o2bo$198bo4bo2bo$206b2o
4$114b2o$114b2o10bo$125bobob2o$127bo2b2o2bo$130bo2b3o$124bo2bo2b4ob2o$
125bobo5b3o$126bo7bo!
The second uses blocks instead of beehives for the turning reaction and doesn't produce escaping gliders that have to be eaten. It seems to produce extra long runs of consecutive 1s and 0s:

Code: Select all

x = 267, y = 190, rule = B3/S23
42bo$40b3o$39bo$39b2o2$36b2o$25bo9bo2bo$24bobobo6bo$21bo7b2o5b3o$20bob
3o2bo$21bob4o$17bo6bo7bobo$16bobo2bo2b2o6b2o$15bo2bo3bob2o7bo$16b2o3bo
$18b3o$18bo$19bo$16b3o$16bo$9bo$9b3o$12bo$11b2o3$3b2o$3bo$2obo$o2b3o4b
2o$b2o3bo3b2o$3b4o$3bo15b2o67bo11b2o$4b3o12bobo65bobo9bobo$7bo13bo15b
2o40bo3b2o2bobo$2b5o14b2o15bo31b2o6bobo2bo2b2ob2o$2bo35bobo29b2o6bobo
3bobo11b2o$4bo23bo10b2o38bob4o2bob2o7b3obo$3b2o21b3o15b2obo33bo3bobob
2o4bo3b3o$25bo16b2obo2bo31bo3bobo7bobo4bo$25b2o15bo5bo30bo3bobo7bo2bo$
10b2o32bobo2b2o9b2o17b2o3bo8bo$11bo8bobo20b2obo3bo9b2o31b2o3b2o$11bob
2o6b2o21bobobobo46bo$12bo2bo5bo25b3o47b3o$13b2o$28b2o7bobo$28b2o7b2o
68b2o$38bo67bo2bo$61bo7bo37b2obo$60bo3b2o2b3o39bo17bo11b2o$37bo3b2o17b
o6bob2o39b2o15bobo10b2o$36bobo3bo18bo5b2ob2o23b2o18bo3bo3b2o2bobo$35bo
bo3bo23bobo28bo16b3o2bobo2bo2b2ob2o$31b2obobo3bo24bobo25b3o16bo5bobo3b
obo$31b2obo2b4obo5b2o15b2o14b2o10bo18b2o5bob4o2bob2o$35bobo3bobo5bo31b
obo37bo3bobob2o$31b2ob2o2bo2bobo2b3o34bo36bo3bobo$32bobo2b2o3bo3bo36b
2o34bo3bobo$20b2o10bobo32b2obo48b2o3bo$20b2o11bo31b2obobo$68b3o$65b3o$
132b2o$132b2o$120b3o24b2o$71bo45bo4bo23bo2bo$72bo43b2o3bo25b2obo$70b3o
27b2o13b2o33bo$100b2o14bo2bo21b3o6b2o$117b2o16b2o4bo$136bo5bo$133b3o
21b2o$121b2o10bo23bo$76bo44bobo35bo$77bo45bo15b2o14b5o$75b3o45b2o15bo
13bo$140bobo12b3o$141b2o15bo$155b4o$150b2o3bo3b2o$150b2o4b3o2bo$158bob
2o$158bo$157b2o3$149b2o$149bo$150b3o$152bo$145bo$143b3o40b2o$142bo34bo
9bo7bo$143bo33b3o7bobo3b3o$142b2o36bo7b2o2bo$137bo2b2o2b2o33b2o10bobo$
140b4o2bo44b2o$103bo32b2o2bo2bobo38bo6b2o$104bo22bo9bo6bo38bobo4b2o$
102b3o21b2o6b3o3bo42bo2bo3b2o$125bo6bo4bobobo42b2o4b2o$124b2o6bobob2o
2bo$125bo3bo2bo2b3o3$108bo$109bo11b2o$107b3o12bo$119b3o$119bo5$251b2o$
251b2o4$203bo$204bo$202b3o43bo$247b3o9b2o$247b4o8b2o3$247b4o$247b4o$
249bo$135bo73bo$136bo72bo$134b3o71b3o$263b2o$247bo14b2obo$208b3o8b2o
24b2ob2o12b2ob2o$209bo9b2o24b2o15b2ob2o$209bo40bo$127b2o11bo103bo4bo$
127b2obo10bo102bo2b2o14bo$131bo7b3o97b3o4bo15b3o$128bo113b2o17b3obo$
129bob2o105bo8b2o11b4obo$131b2o8b2o55bobo22bo15b2ob2o3b2o10b3ob2o$142b
2o54b2o24b5o18b2o15bo$135bo5bo57bo22bobo$134bobo102b3o21b3o$135b2o101b
o$131b2o104bo4bo$130bobo103bo5bo$130bo5b2o98bo5bo$129b2o5b2o99bo2b2o$
240bobo$241bo$217b2o22bo$216bo$221bob2o$216bo6bo$223bo2bo$166bobo46b4o
4bo2bo$166b2o46bobo2bob3o2bo$167bo39bo7bo4bo2bo$205b2ob3o12b2o$204bo2b
ob3o$208b2ob2o$162b2o44bo2b3o$162b2o40b7o2b3o$187bo19bo3bo2bo$186bobo
18b7o$186bobo18b2o2bo$187bo21bobo$210bo2$170b2o$170b2o$195bo$194bobo$
194bobo$195bo3$178b2o$178b2o15bo$191bo3b2o$190bobob2obo$193bo4bo$189b
3obo3bo2bo2$198bobo$199bo!
Here's one with an external display - which gives me a lot more freedom with the timing (and also better readability, since the output can be freely designed):

Code: Select all

x = 277, y = 270, rule = B3/S23
42bo$40b3o$39bo$39b2o2$35bo$25bo8bobo$25bo3bo3bo2bo$21b2ob2ob3o4b2o$
20bo5bo$21bo4bo$17bo4bo3bo$16bobo$15bo2bo2b5o$16b2o2b2o$18b3o$18bobo$
19bo23b2o$16b3o23b2o$16bo27bo$9bo$9b3o$12bo$11b2o3$3b2o$3bo$2obo$o2b3o
4b2o$b2o3bo3b2o2bo$3b4o6b3o$3bo9b2o4b2o67bo11b2o$4b3o12bobo65bobo10b2o
$7bo13bo15b2o40bo3b2o2bobo$2b5o14b2o15bo31b2o6bobo2bo2b2ob2o$2bo35bobo
29b2o6bobo3bobo$4bo23bo10b2o38bob4o2bob2o$3b2o21b3o52bo3bobob2o$25bo
54bo3bobo$25b2o52bo3bobo$10b2o48b2o17b2o3bo$11bo48b2o$11bob2o14bo$12bo
2bo12bo2bo$13b2o17bo49b3o7b2o$26bo5bo51bo7b2o$26bo4b2o50bo23b2o$26bo
46bo32bo2bo$25b4obo41b2obobo21b3o5b2obo$60b2o9b2o2b3o21bo10bo17bo11b2o
$37bo3b2o17b2o10bo2bobo22bo9b2o15bobo10b2o$36bobo3bo30b2o3b2o15b2o18bo
3bo3b2o2bobo$35bobo3bo32b3ob2o16bo16b3o2bobo2bo2b2ob2o$31b2obobo3bo34b
2o16b3o16bo5bobo3bobo$31b2obo2b4obo5b2o31b2o10bo18b2o5bob4o2bob2o$35bo
bo3bobo5bo31bobo37bo3bobob2o$31b2ob2o2bo2bobo2b3o34bo36bo3bobo$32bobo
2b2o3bo3bo36b2o34bo3bobo$20b2o10bobo84b2o3bo$20b2o11bo101bo$136b2o$62b
obo67bobo$63b2o66b3o$63bo68bo$147b2o$146bo2bo$147b2obo$100b2o48bo$100b
2o48b2o$135b2o$136bo$133b3o21b2o101b2o$121b2o10bo23bo102b2o$121bobo35b
o$103bo19bo15b2o14b5o$102bo20b2o15bo13bo$103bo36bobo12b3o$141b2o15bo$
108bo46b4o$107bo37bo4b2o3bo3b2o107b2o$107bo37b2o3b2o4b3o2bo106b2o$144b
obo11bob2o$158bo$157b2o$257bo$89bobo164b3o$90b2o57b2o105bob2o$90bo58bo
105b2o$116bo33b3o102b2o$114bobo35bo78b2o22b2o$115b2o28bo81b2ob3o26bo
13bo$143b3o81b2o4bo24b2o10b2o$142bo85bo3b2o22bobo11b2ob2o$94bobo46bo
83b2o4bo21bo2bo13bo$95b2o44b3o86bo25b2o12b2o$95bo44bo3b2o82bobo$136b2o
bo3bo2bo110bo13b2o$136b2o2bo2bobo111bo$137bo6bo112bo16bo$135b4obo130bo
bo$134bo2b3obo130bo2b2o$126b2o3b2o7bo$125bo2bo4bobobo$125bobo8bo$126bo
108b2o16bo$235b2o13b5o$121b2o127b3ob2o$122bo122b2o4b4o3bo$119b3o122b2o
7bob3obo$119bo125b3o4b2ob3ob2o$167b2o76b3o5b2ob4o$158bo9bo7bo78bo$158b
3o7bobo3b3o$161bo7b3obo$160b2o9b2obo$171bo2bo$165bo$121bobo40bobo$122b
2o40bo2bo2bo2bo$122bo42b2o4b2o5$160b2o$159bobo$161bo2$233b2o$233b2o6$
128bo14bo87b4o$127b2o14bo86b2o2bo$126bob2o13bo85b2o2bo4b3o$125b3o2bo
99bo2bo$127bobobo99b2o$128bobobo$129bo2b3o$130b2obo$131b2o$131bo3bo
100b2o$134bobo84bo$135b2o83bo2bo$131b2o90bo$130bobo75b2ob2o5bo9bo$130b
o5b2o15bobo50b2o4bo4bo11bo5bo2bo$129b2o5b2o16b2o57b2o3bo4bo5bo4bo3bo$
154bo51bo4bob2o4b6o3bo5bo3bo$207b2o2bob2o6bob2o8bobo2b4o$200b2o6bo2bo
22bob3ob2o$200b2o32b3obobobo$234b2o2bobo2bo$235b3ob4o$158bobo75b2o2bo$
159b2o76b2obo$159bo78b2o$238bo$208b2o$208b2o16bobo$219b2o3b2obo$162b2o
55b5ob2o3b2o$162b2o55bob2obobo3b2o$219b3o4bob2o2bo$219bo7bobobo$229bob
o2$154b2o$155b2o$154bo15b2o$170b2o5$156bo$155bobo$154b2ob3o18b2o$154b
2ob2o19b2o$157b2o6$165b2o$164bo2bo$165b2o3$180b3o$179bo2b2o$179bo2bob
2o$173b2o7bobob2o$172bo2bo6bobo2bo$173b2o7bo4bo$182bo3bo$183b3o2$138b
2o$139b2o$138bo$128bo$127b3o30b2o$125b2o32bo2bo$125bo5bo27bo2bo$125b2o
4bo28bob2o$164b2o$129bob2o28b2ob2o$129bo31b2ob2o$130b2o31bo4$153b5o$
153bo$154b3o$154bobo$132b2o12bo7bo$132b2o5b2obobobo$138bobob2o$137b4ob
2o12b2o$136b2ob2obo12b3o$137b2o2bo13bobo$138b2o2bo$141b2o$142b2o10$
140b4o$139bob5obo$144b2ob2o$140bobob2obobo$139bo3b2o3b3o$138bobo2b3obo
bo$139bo7b2o$147bo$135b3o$126bobo5bo$122bobo9bobob2o$122bo10b2o3b2o$
122bobo3bo5b3ob2o$125b2obo5b4o$112b2o22b2o$112b2o7$120b2o$120b2o10bo$
133b5o$132bobo2bob3o$135bo6bo$132bo3b2o4bo$131bobo3bo4bo$132bo6b3o!
My best guess so far is to move the bumper to the NE by multiples of 16 cells to increase the "K factor" or whatever it's called here (remember that increasing the loop length may actually reduce the period with Hickerson-style PRNGs, I guess it applies here too, so prepare for surprises. "Loop length" must mean the NE and SW travel here, because the SE and NW parts must cancel each other out):

Code: Select all

x = 292, y = 266, rule = B3/S23
42bo$40b3o$39bo$39b2o2$35bo$34bobo$24b3o2bo3bo2bo$21bo2b2obobo4b2o$20b
obobo4bo$21bo3b3o$17bo6bo$16bobo2bo2b2o$15bo2b4o$16b2o2b2o2bo$18b2o$
18bo$19bo$16b3o$16bo$9bo13bo$9b3o10bo$12bo9b3o$11b2o3$3b2o$3bo47b2o$2o
bo46bob2o$o2b3o4b2o37bo3b2o$b2o3bo3b2o38b2obobo$3b4o45b3o$3bo15b2o31b
3o33bo11b2o$4b3o12bobo65bobo10b2o$7bo13bo15b2o40bo3b2o2bobo$2b5o14b2o
15bo31b2o6bobo2bo2b2ob2o$2bo35bobo29b2o6bobo3bobo$4bo23bo10b2o5bobo30b
ob4o2bob2o$3b2o21b3o18bo4bobo26bo3bobob2o$25bo27bob2o23bo3bobo$25b2o
25b3o24bo3bobo$10b2o36bo3bobo5b2o17b2o3bo$11bo36bo3bobo5b2o$11bob2o33b
o3b2o33bo$12bo2bo35b2o35bo3bo$13b2o35b2o31b2o3bo4bo$18bo2bo28b2o31bo3b
o2bo2bo$16b2o4b2o59bobo3b4o14b2o$18bo2bo62b2o3b2o15bo2bo$21b2ob2o81b2o
bo$23b2ob2o32b2o48bo17bo11b2o$21bo2bo12bo3b2o17b2o48b2o15bobo10b2o$19b
3o3b3o8bobo3bo10bo41b2o18bo3bo3b2o2bobo$21bo13bobo3bo12b2o40bo16b3o2bo
bo2bo2b2ob2o$21b2obo6b2obobo3bo12b2o38b3o16bo5bobo3bobo$22bobo6b2obo2b
4obo5b2o31b2o10bo18b2o5bob4o2bob2o$23bo11bobo3bobo5bo31bobo24b2o11bo3b
obob2o145b2o$31b2ob2o2bo2bobo2b3o34bo23bo2bo9bo3bobo149b2o$32bobo2b2o
3bo3bo36b2o25bo8bo3bobo$20b2o10bobo71bo4bo7b2o3bo12b3o$20b2o11bo77bo
24bo3bo$107b2o2bo24b2o3bo$142bo133b2o$139bo2bo133b2o$107bo2b2o30bo135b
o5b2o$106bo3b2o24b2o3bo5b2o127b3o5b2o$136bo3bo5bo2bo125bobo$137b3o7b2o
bo125b2o$100b2o5bo3bo38bo124bo$100b2o5bo3b2o37b2o123bo$108bo26b2o134b
2o$105b2o2bo2bo23bo134b2obo$104bo7bo20b3o21b2o112b3o13bo$105b2o2bo2bo
8b2o10bo23bo113bo14b2o$121bobo35bo112b2o11bo3bo$112bo10bo15b2o14b5o
114bo11b2o2bo$80bo28b2ob2o9b2o15bo13bo117bobo16bo$81b2o26b2obo27bobo
12b3o113b2o15bobo$80b2o26bo2bo29b2o15bo114bo15bo$108b3o44b4o130bo$109b
o40b2o3bo3b2o128b2o$150b2o4b3o2bo127b2o$158bob2o98bo$158bo100b3o$85bo
71b2o100bob2o9b2o$86b2o170b2o12b2o14bo$85b2o171b2o27bo$149b2o107b2o27b
2o$149bo112bo13bo12bo$150b3o98b2o8b2o10b2o13b3o$135b2o15bo98b2o6bobo
11b2ob2o10b3o$136b2o7bo112bo2bo13bo$135bo7b3o113b2o12b2o$142bo$141bobo
116bo13b2o$143bo39b2o75bo$137b2o5b2o28bo9bo7bo67bo16bo$137b7o2bo27b3o
7bobo3b3o81bobo$136b2o2bo2bobo31bo7b2o2bo85bo2b2o$144bo31b2o12bo$134b
3o3bo47b2o$133bobo3bobo39bo6bo$126b2o4b3ob2o2bo39bobo$125bo2bo3bo3bo
43bo2bo3b2o$125bobo53b2o4b2o$126bo2$121b2o$112bo9bo$113b2o4b3o$112b2o
5bo3$249b2o$249b2o2$117bo$118b2o130bo$117b2o130bo2bo$252bo$237b2ob2o5b
o9bo$235b2o4bo4bo11bo$242b2o3bo4bo5bo$235bo4bob2o4b6o3bo$236b2o2bob2o
6bob2o$237bo2bo5$230b3o2$228b2o$228bo4bo$228bo17b2o7bobo$220bo8bo2bo
13b2obo3b2obo$212bo7b2o9bo13b2ob5ob2o3b2o$128bo84b2o5bobo25bob2obobo3b
2o$212b2o9b4o21b3o4bob2o2bo$126bob3o93b5o19bo7bobobo$128b2obo12bo79bo
2b2o4bo24bobo$128bob2o13b2o85b3o$129b3obo10b2o85b2o2bo$231b2ob2o$131bo
102b3o$135bo96bob2o12bo$134bobo87b2o5bo2bo14b2o$135b2o87b2o8bo11b2o$
131b2o16bo81bobo13bobo$130bobo17b2o80bo14b2o$130bo5b2o11b2o96bo$129b2o
5b2o95bo11bobo$233bo11bo2bo$233bo13b2o$248bo$250b3o10$162b2o$162b2o7$
170b2o$170b2o6$145bo19bob2o$145b2o10b2o5bo2b2o2b3o2bo$144bobo9bo2bo4bo
6b2o3bo$157b2o5b2o4b2o4bo$166bo$168b2o4$165b2o$164bo2bo$165b2o4$171bob
o$170b2ob3ob2o$162b2o6bo4b4o$160b4o5b3o5b2o$171bo$149b3o8bobo4bo10b3o$
149bo2bo9bo$147b2o3bo7bobo$147b2obobo6bo$147b2ob2o8bo3b2o3bo$149bo11bo
$132b3o10b2o15bob2o$132b2ob2o8b2o16b3o$132b2ob2o27b2o$134b2o5$124b2o$
124b2o4$151bo$150b3o2$132b2o9bobo4bo3bo$132b2o8b5ob2o4bo$142bo3bo2bobo
2bo$149bo3$143bo$145bo$142bo$141b2ob2o$143bo2$142b2o$141bo$141bo2bo$
139b2obo$122bo18bo2b3o$121bo7bob3o5b2o$121b3o4b5obo10b2o$128b4o2bo7b2o
b2o$131bo2bo8bobo$131bobo10bo$101bo21b3o$101bo23bo$122bo2bo$124bo$120b
o2bo$121b2o2$136bo$120bo15b3o$119b3o13b4o$112b2o4bo3bo12bobo$112b2o3b
2ob2o13bo$118bobobo$119b4o13bo$119b2obo12b2o$120bo13b4o$119b2o12bo$
119b3o10b2o3b3o$119bo2bo9b2o4bo$120b2o14bobo$136bobo$136b3o!
I also found solutions that seem pseudorandom but produce no output, and non-solutions that decayed into sawtooths.

Edit:

You can attach a Heisenburp device to get an investigable glider stream:

Code: Select all

x = 513, y = 444, rule = LifeHistory
99.2A$99.A.A$101.A4.2A$97.4A.2A2.A2.A$97.A2.A.A.A.A.2A$99.BABABA.A$
100.B2ABA.A$101.2B.BA$100.3B$91.2A6.4B$92.A6.B2A3B7.A$92.A.AB3.B2A3B
7.3A$93.2AB.10B8.A$95.13B6.A.A$95.14B5.A.AB$84.A10.15B5.A3B$83.A.A3.
2A6.8B2.4B6.4B$82.A2.A3.A7.6B5.4B5.6B$83.2A.2A.A6.9B4.4B4.7B$84.A.A.A
6.4B4.2A5.4B2.8B.4B.B$80.A3.2A2B6.4B5.A7.17B.B2A$79.A.A.3A7.4B7.3A5.
18B2A$79.BA.B.B7.4B10.A5.5B3A8B.2B$80.2B2.2B5.4B17.4BA3BA7B$78.3AB2AB
A4.4B18.4B2AB2A6B$77.B2A.A.AB4.4B17.2AB.12B$78.A.BAB5.2A2B17.A.AB2.
11B$79.ABA5.ABAB18.A5.10B$78.3B5.3BA18.2A5.10B$78.3A4.4B25.11B$79.B4.
4B27.10B$78.2B3.4B28.8B.B2A.A$78.2B2.4B28.7B3.B2AB3A$77.BA6B29.6B6.B
4.A$76.BABA4B31.6B4.2A.3A$76.A2BA3B32.5B4.A2.2A$75.2B2A5B30.8B.A.A$
75.10B20.A8.8BA.A.2A.A$75.6B.4B19.3A6.6B.2BAB.A.2A$73.2AB.3B3.4B21.A
4.7B2.2B2.A$72.A.AB2.B5.4B19.2A4.7B3.B.2A$72.A12.4B18.4B.8B2.A.A2.2A$
71.2A13.4B19.11B2.2A2.A2.A$87.4B17.12B7.2A$88.4B16.12B53.A11.2A$89.4B
15.11B53.A.A9.B2AB$90.4B13.9B12.2A25.2A7.A3.2A2.A.A9.3B$91.4B9.2B.10B
11.A25.A2BA5.A.A2.A2.2A.2A9.B.B$92.4B7.16B.B4.BA.A25.A2B6.A.A3.A.A2.B
8.5B$93.4B3.11BABA5B2ABA2.B2A27.B.A6.A.4A2.AB2A6.6B$94.12BA7B2A3B2A2B
A2B27.A3BAB7.A3.A.A.2A4.8B$95.10B2A4B2AB2ABA5BA3B26.5BA6.A2.BA.A2.13B
$96.8B2A5B3A3BA4B2A3B25.6B6.A.2BA.A5.13B$97.8BA4BABA4BA3BA5B24.A6B6.
2A.2BA5.7B3A5B$99.7B2A2B2A6B2A7B25.5BA10.3B4.6BA3BA4B$100.7B2ABA6B5.B
.4B24.2A2BA2B10.2B.B.7B2A3BA4B$100.9BA4B11.4B23.6B4.25BA3B$100.14B12.
4B22.7B2.23BA2BA4B$104.3B4.2B9.2A3.4B21.A2B2A2B2.26BA5B$105.B6.2B7.B
2AB3.4B19.A3B2A3B.20B2A3BAB3.B2A7.2A$111.B2AB7.2B5.4B18.30BA3BAB4.A2.
A5.B2AB$112.2A9.2B4.5B12.B4.20B2.2B2.B3.B3A2B5.2A.A5.2B6.B$122.14B9.
2AB.3BA3BA11B14.6B7.A6.2B4.3B$122.14B9.2A5BA3B2A8B14.9B6.2A4.14B$113.
B5.18B9.B.5BA11B15.2A4.4B11.14B$112.26B11.B2A2BA2BA8B15.A5.4B.B5.17B$
110.29B10.A7BA8B12.3A7.28B$107.2B.30B9.B2A2BA2BA6B.B2A10.A9.30B$106.
2A33B8.12B4.BA.A19.31B$106.2AB.32B6.9BAB9.A19.32B$107.B.27B3.4B4.7B2A
B2AB8.2A19.32B$110.2B3.B.16B7.4B4.6B2ABA2B27.2AB2.23B3.4B$119.10B.2B
9.4B4.4BA2BA2B27.A.AB4.B.16B7.4B$120.9B13.4B3.4B3A2B28.A11.10B.2B9.4B
$117.11B15.3BA2.5BA3B27.2A12.9B13.4B$116.12B16.3BA.9B38.11B15.4B$107.
2A7.12B17.3AB3.5B38.12B16.4B$106.A2.A2.2A2.11B19.4B3.4B29.2A7.12B17.
4B$107.2A2.A.A2.8B.4B18.4B2.4B28.A2.A2.2A2.11B19.4B13.2A$109.2A.B3.7B
4.2A19.4B2.4B28.2A2.A.A2.8B.4B18.BABA12.A$109.A2.2B2.7B4.A21.4B2.4B
29.2A.B3.7B4.2A19.B2AB5.B2.BA.A$106.2A.A.BA2B.6B6.3A19.BABA2.4B28.A2.
2B2.7B4.A21.A3B3.3B.B2A$106.A.2A.A.A8B8.A20.B2AB2.4B24.2A.A.BA2B.B3A
2B6.3A19.4B.6B$110.A.A.8B30.A3B2.4B23.A.2A.A.A3BA2BAB8.A20.10B$107.2A
2.A4.5B32.4B2.4B26.A.A.5B2AB30.5B2A2B$105.3A.2A4.6B33.4B2.4B22.2A2.A
4.5B32.3BA2BA$104.A4.B6.6B33.4B2.4B19.3A.2A4.A2BA2B31.4BABAB$105.3AB
2AB3.3BA3B34.4B2.4B17.A4.B6.2A4B29.6BAB$107.A.2AB.4B3AB36.4B2.4B17.3A
B2AB3.4B2AB28.4B2.2B$111.5BA2B2A37.4B2.4B18.A.2AB.5B3A28.4B3.2B$111.
4B3AB2AB37.4B2.4B21.8BAB27.4B4.B$111.4B2AB3A5.2A32.4B2.4B20.5BA2BA2B
25.4B4.B2A$111.6B2A2B5.A34.4B2.4B19.6B2A2B5.2A18.4B5.BAB$110.4BA2BA3B
2.BA.A35.4B2.4B18.10B5.A18.4B5.2BA$110.4BABA5B.B2A37.4B2.4B16.11B2.BA
.A17.4B5.3A.B$109.15B40.4B2.4B15.12B.B2A17.4B4.AB.B.3A$108.16B23.A11.
2A4.4B2.4B13.15B18.4B4.BA4BAB$105.2B.16B22.A.A9.B2AB4.4B2.4B11.16B17.
4B5.BA2.2B$104.2A18B10.A3.A3.2A2.A.A9.3B6.4B2.4B7.2B.16B5.A10.4B7.A.A
.BA$104.2AB.17B7.3A2.A.A2.A2.2A.2A9.B.B6.4B2.4B5.2A18B5.3A7.4B7.2AB.A
.A$105.B.4B.8B2.4B5.A5.A.A3.A.A2.B8.5B7.4B2.4B4.2AB.17B7.A5.4B6.3AB3.
A$112.7B4.7B.2A5.A.4A2.AB2A6.6B8.4B2.4B4.B.4B.8B2.4B5.AB4.4B6.A.A.B$
113.6B5.9B7.A3.A.A.2A4.8B9.4B2.4B10.7B4.4B4.A3BA4B6.A.2A.2A$115.4B6.
6B8.A2.BA.A2.13B11.4B2.4B10.6B5.4B5.3BA2B7.A3.A2.A$117.3BA5.5B7.A.2BA
.A5.13B10.4B2.4B11.4B6.4B2.A5BAB6.2A3.A.A$118.BA.A3.7B6.2A.BAB5.15B
10.4B2.3BA12.3BA5.4BA3BA3BA2B10.A$119.A.A4.6B10.A2B4.15B11.3BA2.3BA
12.BA.A5.3BA2BABA2BA2B$120.A5.7B10.2B.B.17B11.3BA2.3AB12.A.A6.2BA3BA
3BA2B$121.3A2.6B4.9BA19B12.3AB2.4B12.A8.2BA5BAB.B2A$123.A2.7B2.9BA6B
2A13B12.4B2.4B12.3A7.BA3BA3.BA.A$126.7B2.16B2A14B12.4B2.4B13.A7.2B3AB
6.A$125.9B.21B3A3B3.B2A12.4B2.4B22.4B6.2A$125.3B3A25BA4B4.A2.A12.4B2.
4B21.3B$120.B4.2BA2BA2BA11B2.2B2.B3.2BA3B5.2A.A12.BABA2.4B17.AB.2B$
119.2AB.4BA4BA9B14.6B7.A13.B2AB2.4B15.A.AB2AB$119.2A6BABA2BABA5B14.9B
6.2A13.A3B2.4B14.A.ABABAB$120.B.6B2A3B2A4B15.2A4.4B21.4B2.4B10.2A.A.A
.A.A2.A$123.17B15.A5.4B21.4B2.4B9.A2.A2.2A.4A$123.17B12.3A7.4B10.2A9.
4B2.4B10.2A4.A$123.15B.B2A10.A10.4B9.A11.4B2.4B15.A.A$123.12B4.BA.A
21.4B10.A10.4B2.4B15.2A$122.11B9.A15.2A5.4B5.5A11.4B2.4B$121.13B8.2A
15.A5.4B4.A17.4B2.4B$122.12B25.A.AB.7B2.B3A15.4B2.4B$123.10B27.2AB.7B
3.2B.A15.4B2.4B$123.9B30.12B4A16.4B2.4B$123.9B30.7B2A3BAB2.2A15.4B2.
4B$123.9B30.7B2A2B.B3A2.A15.4B2.4B$126.5B31.10B3.B.A.2A16.4B2.4B$127.
4B30.8B8.A20.4B2.4B$127.4B29.9B7.2A21.4B2.4B$128.4B27.4B2.3B32.4B2.4B
$129.4B25.4B3.5B31.4B2.4B$130.4B23.4B7.2A32.4B2.4B$131.4B21.4B8.A34.
4B2.4B$132.4B19.4B10.3A32.4B2.4B$133.4B17.4B13.A33.4B2.4B$134.4B15.4B
7.A41.4B2.3BA$135.4B13.4B6.3A42.3BA2.3BA$136.4B11.4B6.A46.3BA2.3AB$
137.4B9.4B6.B.A46.3AB2.4B$138.4B7.4B7.B2A47.4B2.4B$139.4B5.3AB4.AB.2A
2.2A46.4B2.4B$140.4B3.3BA4.4B4A2.A46.4B2.4B$141.4B.3BA5.2A2.A2.A.A48.
4B2.4B$142.7B5.B.A.B4.A50.BABA2.4B$143.5B5.3A2B.A55.B2AB2.4B$142.6B3.
A3B.ABA.A55.A3B2.4B$141.5BA4BABA.2A.BA57.4B2.4B$140.5B2A3B.AB.3A61.4B
2.4B$141.3B2A2B7.B63.4B2.4B$142.5B73.4B2.4B$140.5B76.4B2.4B$140.2A80.
4B2.4B$42.A98.A81.4B2.4B$40.3A95.3A83.4B2.4B$39.A98.A86.4B2.4B$39.2A
185.4B2.4B$227.4B2.4B$35.A192.4B2.4B$34.A.A192.4B2.4B$24.3A2.A3.A2.A
193.4B2.4B$21.A2.2A.A.A4.2A195.4B2.4B$20.A.A.A4.A202.4B2.4B$21.A3.3A
205.4B2.4B$17.A6.A209.4B2.4B$16.A.A2.A2.2A209.4B2.4B$15.A2.4A214.4B2.
4B$16.2A2.2A2.A212.4B2.4B$18.2A218.4B2.3BA$18.A220.3BA2.3BA$19.A220.
3BA2.3AB$16.3A6.A215.3AB2.4B$16.A7.A217.4B2.4B$9.A14.3A171.A44.4B2.4B
$9.3A186.3A43.4B2.4B$12.A188.A43.4B2.4B$11.2A187.2A44.BABA2.4B$200.5B
42.B2AB2.4B$202.3BAB41.A3B2.4B$3.2A196.3BABAB7.B33.4B2.4B$3.A196.4BA
2BA2B.AB.BAB33.4B2.4B$2A.A197.4B2A4B3A.2A.BA31.4B2.4B$A2.3A4.2A190.6B
3.BABA.2BA.A31.4B2.4B$.2A3.A3.2A39.3A149.5B5.3A2B.A33.4B2.4B$3.4A44.A
.A148.7B5.B.B.B4.A30.4B2.4B$3.A15.2A29.A2.A34.A11.2A99.4B.4B5.2A2.A2.
A.A30.4B2.4B$4.3A12.A.A26.2A3.A33.A.A10.2A98.4B3.4B4.B7A2.A30.4B2.4B$
7.A13.A15.2A9.2A.2A26.A3.2A2.A.A109.4B5.4B4.2A.2B2.2A32.4B2.4B$2.5A
14.2A15.A9.3A19.2A6.A.A2.A2.2A.2A107.4B7.4B7.2BA35.4B2.4B$2.A35.A.A
29.2A6.A.A3.A.A110.4B9.4B6.A.A36.4B2.4B$4.A23.A10.2A15.A22.A.4A2.A.2A
105.4B11.4B6.A38.4B2.4B$3.2A21.3A19.3A6.A23.A3.A.A.2A104.4B13.4B6.3A
36.4B2.4B$25.A30.A23.A3.A.A107.4B15.4B7.A37.4B2.4B$25.2A22.2A2.3A23.A
3.A.A107.4B17.4B13.A31.4B2.4B$10.2A37.2A2.2A5.2A17.2A3.A107.4B19.4B
10.3A32.4B2.4B9.B$11.A11.A25.2A9.2A129.4B21.4B8.A36.4B2.4B7.2B$11.A.
2A7.3A165.3AB23.4B7.2A36.4B2.4B5.3B$12.A2.A5.2A2.A63.2A98.3BA25.2BAB
3.5B37.4B2.4B3.4B$13.2A5.A3.2A24.2A35.2A.2A96.3BA27.2B2A2.3B40.4B2.4B
.4B$19.2A29.2A35.A2.A96.4B29.2A7B7.2A31.4B2.7B$18.3A66.A2.A16.2A78.4B
30.8B8.A32.4B2.3BAB$19.2A67.2A16.A2.A76.5B31.10B3.B.A.2A30.3BA.4BA$
20.A3.2A81.2A.A72.3B3A3B30.7B2A2B.B3A2.A31.3BA2B3AB$21.2A2.A23.3A2.A
5.2A48.A17.A11.2A41.B2ABABA2B30.7B2A3BAB2.2A33.3A2B.4B$22.3A12.A3.2A
7.2A8.2A48.2A15.A.A10.2A41.A3BA2BAB30.12B4A35.5B2.4B$23.A12.A.A3.A7.
2A43.2A18.A3.A3.2A2.A.A53.4BAB2A2B27.2AB.7B3.2B.A34.7B2.4B$35.A.A3.A
9.A.A42.A16.3A2.A.A2.A2.2A.2A51.5B2A5B25.A.AB.7B2.B3A34.A3B.4B2.4B$
31.2A.A.A3.A11.2A39.3A16.A5.A.A3.A.A54.4B2A7B8.2A15.A5.4B4.A36.B2AB3.
4B2.4B$31.2A.A2.4A.A5.2A31.2A10.A18.2A5.A.4A2.A.2A51.3BA7B9.A15.2A5.
4B5.5A30.BABA5.BABA2.4B$35.A.A3.A.A5.A31.A.A37.A3.A.A.2A52.BA10B4.BA.
A21.4B10.A29.4B7.B2AB2.4B$31.2A.2A2.A2.A.A2.3A34.A36.A3.A.A56.AB2A11B
.B2A10.A10.4B9.A30.4B9.A3B2.4B$32.A.A2.2A3.A3.A36.2A25.A8.A3.A.A57.BA
BA13B12.3A7.4B10.2A28.4B11.4B2.4B$20.2A10.A.A74.3A7.2A3.A58.17B15.A5.
4B40.4B13.4B2.4B$20.2A11.A74.A2.2A67.B.17B15.2A4.4B40.4B15.4B2.4B$
108.2A.2A24.2A40.2A4B3A12B14.9B6.2A32.4B17.4B2.4B$107.3A27.2A40.2AB.
2B2ABA13B14.6B7.A32.4B19.4B2.4B$108.2A.A27.A40.B4.2B3A15B2.2B2.B3.6B
5.2A.A31.4B21.4B2.4B$109.A2.A24.2A46.36B4.A2.A31.4B23.4B2.4B$137.2A8.
2A36.9B.27B3.B2A31.4B25.4B2.4B$109.A2.A33.A2.A36.7B2.32B31.4B27.4B2.
4B$110.2A35.2A.A32.A2.7B2.21BA9B31.4B29.4B2.4B$100.2A48.A30.3A2.6B4.
19BA9B31.4B31.4B2.4B$100.2A6.2A.2A37.2A28.A5.7B10.2B.B.3B3A2BA8B30.4B
33.4B2.4B$109.A25.2A42.A.A4.6B10.3B4.BA2BA10B30.4B35.4B2.4B$106.2A5.A
22.A41.BA.A3.7B6.2A.2BA5.BA4BA8B29.4B37.4B2.4B$106.2A5.A19.3A21.2A18.
3BA5.5B7.A.2BA.A5.2A11B29.4B39.4B2.4B$106.A14.2A10.A23.A17.4B6.6B8.A
2.BA.A2.7BA5B30.4B41.4B2.4B$78.A28.A4.A8.A.A35.A13.6B5.9B7.A3.A.A.2A
4.A7B28.4B43.4B2.4B$79.2A26.A2.A12.A15.2A14.5A12.7B4.7B.2A5.A.4A2.AB
2A6.6B27.4B45.4B2.4B$78.2A28.3A12.2A15.A13.A10.B.4B.8B2.A3B5.A5.A.A3.
A.A2.B8.5B26.4B47.4B2.4B$140.A.A12.3A6.2AB.14BABA7.3A2.A.A2.A2.2A.2A
9.B.B25.4B49.4B2.4B$141.2A15.A5.2A16B2A10.A3.A3.2A2.A.A9.3B25.4B51.4B
2.4B$155.4A6.2B.16B22.A.A9.B2AB23.4B53.4B2.3BA$150.2A3.A3.2A7.16B23.A
11.2A23.4B55.4B2.3BA$150.2A4.3A2.A7.15B59.4B57.4B2.3AB$83.A74.A.2A8.
12B.B2A56.4B59.4B2.4B$84.2A72.A11.11B2.BA.A54.4B61.4B2.4B$83.2A72.2A
12.10B5.A53.4B63.4B2.4B$171.6B2A2B5.2A51.A3B65.4B2.4B$171.6B2A3B56.B
2AB67.4B2.4B$149.2A20.10B56.BABA69.BABA2.4B$149.A17.A.2AB.8B55.4B71.B
2AB2.4B$150.3A12.3AB2AB3.7B53.4B73.A3B2.4B$152.A11.A4.B6.6B52.4B75.4B
2.4B$145.A19.3A.2A4.6B52.4B77.4B2.4B$133.2A8.3A21.2A2.A4.5B51.4B79.4B
2.4B$134.2A6.A27.A.A.8B49.4B81.4B2.4B$133.A7.A.A22.A.2A.A.A8B8.A39.4B
83.4B2.4B$143.A22.2A.A.BA2B.2B2A2B6.3A38.4B85.4B2.4B$137.2A5.2A23.A2.
2B2.2BABA2B4.A40.4B87.4B2.4B$137.7A2.A22.2A.B3.2BA4B4.2A38.4B89.4B2.
4B$136.2A2.A2.A.A21.2A2.A.A2.8B.4B37.4B91.4B2.4B$144.A21.A2.A2.2A2.6B
2A3B38.4B93.4B2.4B$134.3A3.A26.2A7.4BA2B2A3B36.4B95.4B2.4B$133.A.A3.A
.A34.4BA4BA2B35.4B97.4B2.4B$126.2A4.3A.2A2.A36.3BAB4A2B34.4B99.4B2.4B
$125.A2.A3.A3.A32.2A9.2A2BA2B34.4B101.4B2.4B$125.A.A42.A8.2B3A3B33.4B
103.4B2.4B$126.A43.A.AB3.5BA3B33.4B105.4B2.4B$110.A47.2A11.2AB.11B32.
4B107.4B2.4B$111.2A8.2A50.14B30.4B109.4B2.4B$110.2A10.A34.A3.A10.15B.
B27.4B111.4B2.4B$119.3A34.A4.A11.15B2A25.4B113.4B2.4B$119.A26.A8.A.A.
A11.2AB.13B2A24.4B115.4B2.4B$146.3A5.A.A.A11.A.AB.14B24.4B117.4B2.3BA
$149.A2.A4.A12.A7.11B23.4B119.4B2.3BA$148.2A2.A3.A12.2A6.10B24.4B121.
4B2.3AB$115.A60.12B22.4B123.4B2.4B$116.2A33.A2.2A20.12B21.4B125.4B2.
4B$115.2A33.A.A24.11B20.4B127.4B2.4B$146.2A2.2A26.9B.2A17.A3B129.4B2.
4B$146.2A30.8B3.A16.B2AB131.4B2.4B$178.8B3.A.A13.BABA133.BABA2.4B$
178.7B5.2A12.4B135.B2AB2.4B$179.7B17.4B137.A3B2.4B$179.6B17.4B139.4B
2.4B$178.7B16.4B141.4B2.4B$173.2A2.8B15.4B143.4B2.4B$172.A.A12B12.4B
145.4B2.4B$172.A3.11B11.4B147.4B2.4B$171.2A3.4B2A5B10.4B149.4B2.4B$
177.3B2A5B9.4B151.4B2.4B$120.A56.10B8.4B153.4B2.4B$161.2B15.9B7.4B
155.4B2.4B$118.A.3A38.3B14.9B6.4B157.4B2.4B$120.2A.A37.4B13.8B6.4B
159.4B2.4B$120.A.2A38.4B13.8B4.4B161.4B2.4B$121.3A.A37.4B13.6B4.4B
163.4B2.4B$164.4B12.6B3.4B165.4B2.4B$123.A41.4B11.6B2.4B167.4B2.4B$
127.A38.4B9.7B.4B169.4B2.4B$126.A.A38.4B8.6B.4B171.4B2.4B$127.2A39.4B
8.9B173.4B2.4B$123.2A44.4B7.8B175.4B2.4B$122.A.A45.4B5.8B177.4B2.4B$
122.A5.2A41.4B4.7B179.4B2.4B$121.2A5.2A42.4B3.6B181.4B2.3BA$173.4B.2B
3A2B182.3BA2.3BA$174.8BA2B183.3BA2.3AB$173.B.6B3AB184.3AB2.4B$171.14B
185.4B2.4B$171.14B186.4B2.4B$170.2A8BA4B187.4B2.4B$170.2AB.7B2AB189.
4B2.4B$144.2A25.B2.6B2A2B190.BABA2.4B$143.2A30.4B2.4B190.B2AB2.4B$
145.A29.2B2AB2.4B190.A3B2.4B$177.2A4.4B190.4B2.4B$184.4B190.4B2.4B$
185.4B190.4B2.4B$186.4B190.4B2.4B$187.4B190.4B2.4B$188.4B190.4B2.4B$
189.4B190.4B2.4B$190.4B190.4B2.4B$385.4B2.4B$386.4B2.4B$387.4B2.4B$
388.4B2.4B$389.4B2.4B$390.4B2.4B$391.4B2.4B$392.4B2.4B$393.4B2.4B$
394.4B2.4B$395.4B2.4B$396.4B2.4B$397.4B2.4B$398.4B2.3BA$399.4B2.3BA$
400.4B2.3AB$401.4B2.4B$402.4B2.4B$403.4B2.4B$404.4B2.4B$405.4B2.4B$
406.BABA2.4B$407.B2AB2.4B$408.A3B2.4B$409.4B2.4B$410.4B2.4B$411.4B2.
4B$324.2A86.4B2.4B$324.2A87.4B2.4B$414.4B2.4B$415.4B2.4B$416.4B2.4B$
417.4B2.4B$312.2A104.4B2.4B$311.A.A105.4B2.4B$313.A18.2A86.4B2.4B$
314.A17.2A87.4B2.4B$314.A.A4.A.A98.4B2.4B$313.A2.A5.A100.4B2.4B$313.A
3.A106.4B2.4B$206.A105.A2.2A108.4B2.4B$207.2A103.3A111.4B2.4B$206.2A
219.4B2.4B$428.4B2.4B$429.4B2.4B$430.4B2.3BA$277.A153.4B2.3BA$276.3A
153.4B2.3AB$211.A64.4A4.A36.2A12.A97.4B2.4B$212.2A69.A.A34.2A13.A98.
4B2.4B$211.2A70.2A35.3A11.A100.4B2.4B$276.4A48.A6.2A.A97.4B2.4B$276.
4A42.A.2A.A.A5.2A.2A97.4B2.4B$208.2A68.A43.A2.A2.A7.A.A99.BABA2.4B$
207.2A113.A.A114.B2AB2.4B$209.A87.3A140.A3B2.4B$311.2A128.4B2.4B$292.
2A3.A.A11.A.A128.4B2.4B$291.2A.A4.2A4.A5.A.A.2A126.4B2.4B$267.2A7.3A
12.2A.2A4.5A.A8.2A127.4B2.4B$266.A.A5.2A.2A12.2A.2A2.2A2.2A.A6.2A.2A
128.4B2.4B$266.A4.2A.2A24.A145.4B2.4B$267.A5.A.2A170.4B2.4B$267.A7.2A
15.A155.4B2.4B$234.A38.A.2A14.3A155.4B2.4B$234.A.A32.A20.3A.A155.4B2.
4B$234.2A33.A3.A2.A12.4A.A156.4B2.4B$226.2A42.A3.A.A11.3A.2A158.4B2.
4B$225.A2.A64.A159.4B2.4B$226.2A226.4B2.4B$292.3A160.4B2.4B$203.2A
251.4B2.4B$203.2A252.4B2.4B$268.A189.4B2.4B$266.2A.2A188.4B2.4B$234.
2A33.3A188.4B2.4B$233.A2.A224.4B2.4B$207.A26.2A15.A17.3A190.4B2.3BA$
195.A2.A7.A.A40.A.3A16.A192.3BA2.3BA$194.A3.2A5.A3.A40.4A210.3BA2.3AB
$194.A3.A5.2A.A.A44.2A.A207.3AB2.4B$194.A3.A5.2A.A.A43.A3.A208.4B2.4B
$195.A2.A7.3A44.A3.A209.4B2.4B$197.A44.2A224.4B2.4B$241.A2.A224.4B2.
4B$242.2A226.BABA2.4B$471.B2AB2.4B$472.A3B2.4B$473.4B2.4B$184.3A287.
4B2.4B$184.A2.2A286.4B2.4B$204.A45.2A224.4B2.4B$183.2A2.2A9.2A3.A2.A
42.A2.A5.3A216.4B2.4B$183.2A13.2A2.A4.A42.2A5.A2.A11.2A204.4B2.4B$
181.3A19.2A2.A3.A50.A8.A.A205.4B2.4B$176.2A2.3A19.2A.A.A2.A.A49.2A.A
5.A2.A.2A202.4B2.4B$170.2A3.A.A.2A21.2A3.A.A3.A48.3A.2A4.3A.A.A202.4B
2.4B$170.2A3.A3.2A21.A3.A3.A.A52.A8.A3.A203.4B2.4B$175.2A2.A23.2A6.A
46.3A13.A3.A204.4B2.4B$177.2A96.A.A206.4B2.4B$276.A208.4B2.4B$486.4B
2.4B$487.4B2.4B$488.4B2.4B$178.2A7.A301.4B2.4B$178.2A7.A302.4B2.4B$
186.A.A11.2A289.4B2.4B$187.3A9.2A.2A288.4B2.4B$187.2A2.4A9.2A287.4B2.
4B$187.A7.A6.A3.A287.4B2.3BA$188.A5.A8.3A289.4B2.3BA$188.A307.4B2.3AB
$497.4B.2A3B$498.3B3A4B$499.2B3A5B$500.A3BA5B$500.AB2A7B$499.2B3A7B$
499.12B$500.12B$501.12B$501.12B$502.11B$503.9B$504.8B$505.6B$506.4B$
507.2B!
I fed the output into a randomness tester (see one of my previous posts). With all examples so far tested, the upwards drift is extreme, so the randomness can't be very good. And I'm not sure my guess about increasing the loop length was correct - they all seem to have the same randomness.


Edit:

There's another way to get output. This uses a p512 tractor beam, discarding some of the output, and does look sort of pseudorandom, though still drifting. Also try this with p256 (lose the p512 osc), and try offsetting the p512 by 256 ticks. Be patient, and watch your memory usage.

Code: Select all

x = 578, y = 632, rule = LifeHistory
447.2A$440.2A5.2A$440.2A3$442.2A17.2A8.2A$442.2A17.A9.2A$436.2A21.A.A
$436.2A21.2A$477.2A$477.2A$473.2A$473.2A4$478.2A$436.A41.2A$436.3A$
439.A$438.2A8$471.2A$471.A$472.3A$431.2A41.A$431.2A2$452.3A$452.A$
436.2A15.A3.4A$436.2A22.2A$382.2A11.A36.2A22.A2.A.2A$382.2A10.A.A35.
2A22.2A.A.A$394.A.A2.2A3.A7.2A43.A.2A12.2A$393.2A.2A2.A2.A.A6.2A44.2A
13.2A$397.A.A3.A.A32.2A27.2A$393.2A.A2.4A.A33.2A27.2A$393.2A.A.A3.A$
397.A.A3.A$398.A.A3.A7.3A54.2A$399.A3.2A6.A2.A47.2A5.2A$415.A46.2A$
411.2A$359.2A50.2A3.A$359.2A5.2A22.2A24.A$366.2A22.2A21.3A29.2A$375.
2A68.2A$374.A2.A34.2A24.A$335.2A8.2A17.2A7.A.2A35.2A24.A$335.2A9.A17.
2A7.A37.A2.A7.2A$346.A.A21.2A.A39.3A6.2A$347.2A21.2A.2A12.2A22.A.2A.A
$329.2A56.A27.3A16.A$329.2A57.3A27.A15.A$333.2A55.A10.2A14.A$333.2A
65.A.A13.2A43.2A$400.A11.2A2.A44.2A$399.2A12.3A$414.A$328.2A$328.2A
93.A.A$423.2A$424.A$460.2A$455.2A2.A2.A$455.A.A2.2A$417.A22.2A16.2A$
417.A.A21.A17.A$417.2A19.3A15.A2.A.2A$438.A16.A.A.2A.A$456.A.A$335.2A
120.A2.2A$336.A121.2A.3A$333.3A128.A$333.A22.3A16.2A81.2A.3A$358.A16.
2A81.2A.A$357.A$450.2A$441.2A7.2A$341.3A26.2A70.A$340.A2.A2.A23.2A70.
A.A$340.A4.A28.2A67.2A$340.A.A2.A.A26.2A$333.2A6.2A3.2A8.2A$333.2A16.
2A3.A.A$339.2A10.2A5.A9.2A93.2A$339.2A17.2A8.2A93.2A3$337.2A$337.2A5.
2A$344.2A102.A$420.2A25.A.A$413.2A5.2A25.A.A$413.2A29.A3.A$444.4A2$
415.2A27.2A$415.2A27.2A$409.2A20.3A$409.2A22.A$432.A17.2A$450.2A$446.
2A$446.2A4$451.2A$409.A41.2A$409.3A$412.A$411.2A8$444.2A$444.A$445.3A
$354.A.A47.2A41.A$354.2A3.A.A42.2A$355.A3.2A$360.A$426.A.A$409.2A14.A
2.A$409.2A15.A2.A.2A$353.A51.2A22.A2.A$353.A.A49.2A23.2A$353.2A68.2A
5.2A14.2A$422.A.A21.2A$411.2A9.A17.2A$411.2A8.2A17.2A3$442.2A$435.2A
5.2A$352.3A80.2A$352.A$353.A$364.A8.2A$364.3A6.2A$367.A$366.2A13.2A$
381.A$379.A.A$379.2A$374.2A$374.2A4$345.2A31.A$338.2A5.2A30.A.A$338.
2A38.2A3$340.2A27.2A$340.2A27.2A$334.2A$334.2A$375.2A$375.2A$353.A.A
15.2A$352.A3.A14.2A$351.A4.A$351.A4.A$351.A3.A$352.A2.A20.2A$334.A41.
2A$334.3A$337.A$336.2A8$369.2A$369.A$279.A90.3A$279.3A47.2A41.A$282.A
7.A.A36.2A$281.2A7.2A3.A.A$291.A3.2A$296.A$334.2A16.A$334.2A16.A.A$
330.2A20.2A$289.A40.2A$289.A.A56.2A21.2A$289.2A56.A.A21.2A$336.2A9.A
17.2A$336.2A8.2A17.2A3$367.2A$360.2A5.2A$360.2A$298.2A$298.A.A$298.A
45$226.A.A$226.2A3.A.A$227.A3.2A$232.A4$225.A$225.A.A$225.2A23$252.A$
250.3A$249.A$249.2A2$245.A$235.A8.A.A$234.A.A.A4.A2.A$231.A7.2A3.2A$
230.A.3A2.A$231.A.4A$227.A6.A$226.A.A2.A2.2A$225.A2.A3.A.2A$226.2A3.A
$228.3A$228.A$229.A$226.3A$226.A$219.A13.A.A$219.3A11.2A$222.A11.A$
221.2A3$213.2A$213.A$210.2A.A47.2A$210.A2.3A4.2A39.A.A$211.2A3.A3.2A
38.A2.2A$213.4A42.3A.A$162.A.A48.A15.2A27.A.3A35.A11.2A$162.2A3.A.A
44.3A12.A.A27.A.A35.A.A10.2A$163.A3.2A48.A13.A15.2A40.A3.2A2.A.A$168.
A43.5A14.2A15.A31.2A6.A.A2.A2.2A.2A$212.A35.A.A6.A22.2A6.A.A3.A.A$
214.A23.A10.2A5.A.2A29.A.4A2.A.2A$213.2A21.3A16.A5.2A3.2A23.A3.A.A.2A
$161.A73.A26.A2.3A22.A3.A.A$161.A.A71.2A23.5A24.A3.A.A$161.2A57.2A35.
A4.2A6.2A17.2A3.A$221.A36.5A7.2A$221.A.2A6.A27.2A$222.A2.A8.A25.2A34.
2A2.A.A$223.2A35.2A33.3A.A3.A$228.A3.A2.A24.2A32.2A6.A$228.2A2.A62.A.
5A15.2A$228.A3.A2.A60.4A16.A2.A$260.2A36.A18.2A.A$234.A.A22.A2.A7.2A
48.A17.A11.2A$231.A2.A.A10.A3.2A7.A9.2A48.2A15.A.A10.2A$231.2A2.2A9.A
.A3.A10.A41.2A18.A3.A3.2A2.A.A$231.A2.A10.A.A3.A11.2A41.A16.3A2.A.A2.
A2.2A.2A$232.3A6.2A.A.A3.A7.A4.A39.3A16.A5.A.A3.A.A$241.2A.A2.4A.A5.A
2.2A28.2A10.A19.A5.A.4A2.A.2A$245.A.A3.A.A5.A31.A.A25.A3.A7.A3.A.A.2A
$241.2A.2A2.A2.A.A2.3A34.A25.A10.A3.A.A$242.A.A2.2A3.A3.A36.2A23.A2.A
7.A3.A.A$230.2A10.A.A73.3A8.2A3.A$230.2A11.A74.2A28.A$320.2A25.3A$
319.2A.A24.A.2A$318.A31.2A$317.A3.2A24.A.2A$318.3A26.3A7.2A$318.2A28.
A7.A2.A$321.A35.2A.A$310.2A7.2A39.A$310.2A7.2A39.2A$315.2A2.2A24.2A$
319.2A25.A$314.3A26.3A21.2A$316.4A11.2A10.A23.A$318.3A10.A.A35.A$290.
A27.A.2A11.A15.2A14.5A$291.A25.2A2.A11.2A15.A13.A$289.3A25.2A.2A28.A.
A12.3A$318.A.A30.2A15.A$319.A45.4A$360.2A3.A3.2A$360.2A4.3A2.A$368.A.
2A$295.A72.A$296.A70.2A$294.3A2$359.2A$359.A$360.3A$362.A$344.3A8.A$
346.A6.3A$345.A6.A$353.A$352.2A39.2A$98.A.A246.A2.2A2.2A28.A9.A7.A$
98.2A3.A.A244.4A2.A27.3A7.A.A3.3A$99.A3.2A241.2A2.A2.A.A31.A7.2A2.A$
104.A242.A6.A31.2A10.A.A$344.3A3.A47.2A$342.A4.A.A.A39.A6.2A$336.2A4.
A.A.2A2.A39.A.A4.2A$97.A237.A2.A3.A2.3A42.A2.A3.2A$97.A.A235.A.A53.2A
4.2A$97.2A237.A2$322.A8.2A$323.A8.A$321.3A5.3A$329.A5$327.A$328.A$
326.3A20$337.3A$336.A228.2A$336.A3.A13.A210.2A$336.A2.A.A13.A$338.A.A
2.A9.3A$339.A3.A$343.A224.A.A$340.3A224.A3.A$345.A220.A5.A$344.A.A
208.A10.3A4.A$345.2A12.A194.2A.A9.A.2A.A$341.2A17.A194.A.2A$340.A.A
15.3A195.A$340.A5.2A$339.2A5.2A5$546.A.A$547.A$546.A20.A$545.2A13.2A
5.A$34.A.A508.2A13.2A10.3A$34.2A3.A.A495.A.2A.A30.A$35.A3.2A492.6A3.A
22.A6.3A$40.A491.A4.A.A25.4A4.5A$532.A5.A2.2A21.A3.4A.2A$533.A.2A.A2.
2A22.A4.2A$536.A4.2A30.2A$33.A420.A85.2A$33.A.A419.A$33.2A418.3A64.3A
$522.A25.3A$386.A134.A18.2A6.A2.A$387.A152.2A6.A13.3A$385.3A173.A2.2A
$551.A.A.2A4.A2.A.2A$552.2A3.A6.A.A.2A$553.4A7.A.A2.A$548.3A3.2A8.A4.
A$564.A3.A$391.A173.3A$392.A$390.3A4$531.2A$531.2A3$525.3A$523.A.3A$
522.A$521.2A$522.2A15.2A$523.A15.2A2$2A517.3A$2A518.2A$519.A$518.2A$
518.2A$517.A$517.2A$511.A.A3.2A$509.A$509.A5.A25.2A.2A$510.2A3.A25.A
2.A$513.3A.A25.2A$516.2A24.A$513.A.2A24.A.A$513.A$512.A$513.2A$513.2A
28.4A$514.A13.2A13.A$528.3A$527.A2.A$528.A3.A$506.2A21.A.3A$506.2A23.
2A$530.3A$530.2A$530.A$531.2A3$464.A49.2A$464.A.A47.2A$464.2A63.A$
529.2A$529.A2.A2$530.A.A$531.A4$444.2A$444.2A7$434.2A16.2A$433.A.A16.
2A$435.A2$439.A.A2$443.A$436.A3.2A.A8.A.A$439.A2.2A8.A.A5.2A$436.2A
12.4A6.2A$434.3A2.A10.2A$434.2A14.2A5$447.2A$446.A2.A$447.2A4$463.A$
455.A6.3A$445.2A6.A2.A5.3A$444.A12.A7.3A$453.A.2A3$444.3A$447.A2$418.
2A$417.A.A21.A3.A$419.A25.A3.A$408.A34.A$408.2A33.2A$410.A.2A$408.A.A
.2A29.2A.2A$408.A.A.A32.A$410.2A2.A$409.A2.3A$410.4A$411.A2$436.A$
436.A.2A$435.A.A.2A$430.2A2.3A4.2A$414.2A13.3A2.3A.A2.A2.A$414.2A13.A
5.A2.3A3.A$423.A.2A.A.2A12.A$422.A6.3A5.4A.2A$422.A2.A3.A8.A2.A$421.A
19.A$420.3A.A2.2A10.2A$420.A3.3A$419.A.A2.2A3$420.A2.A$421.A$424.A$
422.A2.A$423.2A4$421.2A.A$421.2A.A.A2.A$423.A2.A3.A$420.A.A6.A$422.A
5.A$430.A$430.A2$409.A.2A$408.A2.2A2.3A2.A$408.A6.2A3.A$408.2A4.2A4.A
$410.A$394.2A16.2A$394.2A7$402.2A$402.2A$415.A.A$414.2A.3A.2A$414.A4.
4A$413.3A5.2A$415.A$422.3A!

nokangaroo
Posts: 81
Joined: February 16th, 2017, 6:21 pm

Re: Sawtooth-based PRNG

Post by nokangaroo » October 27th, 2020, 4:20 pm

Another pseudorandom sawtooth

Using the simplified permanentswitch posted here:
viewtopic.php?f=2&t=576&p=98389#p98389

Code: Select all

x = 300, y = 181, rule = B3/S23
191b2o$164b2o24bobo$156bo7bo9bo9b2o4bo$156b3o2b2obo7b3o7bo2bo2b2ob4o$
159bo3bo7bo10b2obobobobo2bo$158bo12b2o12bobobobo$159b3o23bobob2o$167bo
18bo$166bobo$160b2o3bo2bo30b2o$160b2o4b2o22b2o7bo$167b2o21b2o5bobo$
168b2o27b2o$167b2o$169bo4$144b2o$145bo41b2o$145bobo40bo$146b2o37b3o8b
3o$185bo10bo$170b2o4b2o19bo29bo$150b2o18b2o3bo2bo46b3o$149bo2bo23bobo
45bo26bo$15b2o133bobo17bo6bo46b2o25b3o$15b2o126bo7bo17b2o83bo$143b3o
22bo12b2o70b2o$146bo22bo2b2o7bo$145b2o19b3o3bobo7b3o49bo$151b2o13bo7bo
9b3o47b3o40b2o$148b2ob2o21b2o11bo49bo39bo$146bobo37b2o11b2o35b2o11b2o
24bobo$7b2o136bobo24b4o23b2o48b2o24b2o4b2o$7b2o136bo25bo3bo14b3o88bo$
144b2o25b2o15b2o89bobo$156b2o7bobo20b2obob2o84b2o$56bo100bo8b2o20b4o2b
o$56bo2b2o96bob2o5bo22bo4bo$59b3o96bo2bo28b4o41bo$18b3o138b2o23bobo3b
2o43bobo33b2o6b2o$17bo2bo34b3ob2o113b2o8b2o38b2o9b3o3b2o27bo3bo4bobo$
17bo3bo33b2o2bo114b2o9bo25b2o11b2o11bo3b2o17b2o13b2o4bo8bo$16b2o2bo37b
3o151bo46bobo12b2o5b2o5b3o$3bo14bo37b2o151b3o47bo27bo$3bobo13b2o26b2o
7b2o151bo48b2o10b2o15b2o$3bo2bo12b3o25b2o134bo3b2o82bo$5bo13b3o160bobo
3bo79b3o$3b2o59bo116bobo3bo12b2o66bo26b2o$5bo56bobo112b2obobo3bo13bobo
46b2o45bo$5b3o30b3o22b2o112b2obo2b4obo13bo46bo46bob2o$6bo11b3o6bo9b5o
139bobo3bobo12b2o46b3o35b2o4b3o2bo$3bobo19b2o9bobo2bo135b2ob2o4bo2bo
62bo35b2o3bo3b2o$bo2bo23b2o5bo4b2o2bo130bo2bobo2bo3b2o104b4o$o25bobo5b
2o2bobo2bobo104bo15b2o7b2o5b2o95b2o15bo$bobo23b2o4b3o3bobo4bo103b3o13b
2o110bobo12b3o$28bo11bobo2bo107bo124bo13bo$28bobo10b5o106b2o123b2o14b
5o$27bo2bo11bob2ob2obo244bo2bo$27b2o15b2ob3obo245b2o$27bo17bo3b2o$23b
3o19bo3bo$46bo2bo$47bo$96bo$94bobo113bo$47b3ob2o42b2o111b2o$45bo3bob2o
156b2o$45bo3bobo$43bo7bo$43bo2bob3o$43bo3bo17b2obo$44bo4bo14bo4bo200bo
$45bo3bo14bo203b2o$46b3o12b2o6bo199b2o$59b2o7bo5bo$59bo7bo3bobo$59b2o
5b2o3bo2b2o$61b5o6bo3bo$73bob2o$74bo53bo$87b2o2b2o33bobo$70b2o7bob2o3b
3o38b2o$70b2o5b2o3bo10bo$75b2o4bo2bobo$78bo6b4obo2bo$86b3ob3o5b2o$98b
2o7$73bo16b2o$72b5o13b2o$71b2ob3o19b2o62bo$68bo3b4o4b2o14b2o60bobo$67b
ob3obo7b2o76b2o$66b2ob3ob2o4b3o$67b4ob2o5b3o$71bo$96b2o$94b2obo$88b2o
4b2o142bo$88b2o6b2o138b2o$98b2o137b2o$98b2o$98bo$101b2o$100b3o$103bo$
86bo15b2o$85bob2o11bo116bo$83bo4bo11bobo114b3o$82b2o3bo13bo118bo$82b4o
133b2o3$84bo19bo57b3o$83bobo18bobo57bo$84bo19b2ob2o54bo$105b3o$106bo
122b2o$100b2o120b2o5bobo$100b2o120b2o7bo$85bobo143b2o$84bo2bo$84bo2bo
130bo$84bo43bo88bobob2o$83b3o41bobo87bobobobo$127bobo86b2obobobo2bo$
128bo88bo2b2ob4o$109bo105bobo4bo$107b2ob2o103b2o5bobo$106b3o114b2o2$
106b3o11bo$107bo11bobo$119bobo$120bo4$127b3o$113b4o9bo2bo$111b3ob2o5b
2o2bo2bo$110b2ob2o6b3o2bo2bo4b2ob2o$109bo10bo2bo4bo6bo2bo11bo$110b3o
14b2o6b2o12bobo$111bo25bo$136bobo2$153bo$151b2ob2o3b2o$133b4o14b2o7bob
2o$136bo15bo3bo7bo$153bobo8bo$146b2o5bobo6b3o$146b2o2b2obo16b3o$154bo
12b3o2bo$151bobo13b6o$152bo15b2o$158bo$157b3o$156b2obo$159b2o$159b2o$
159b2o$142bo13bo$144b2o10b2o8b2o$141b2ob2o11bobo6b2o$143bo13bo2bo$144b
2o12b2o2$143b2o13bo$158bo$141bo16bo$142bobo$139b2o2bo!

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