Is there a rake/puffer period generator?

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danieldb
Posts: 163
Joined: July 15th, 2015, 4:27 pm

Is there a rake/puffer period generator?

Post by danieldb » November 16th, 2015, 6:07 pm

I want to know the period of this:

Code: Select all

x = 750, y = 678, rule = B3/S23
409b2o$407b2ob2o$407b4o$408b2o$403bo$404b2o15b2o$417b4ob2o5b4o$417b6o
5b6o$375bo19b2o21b4o6b4ob2o$373b2obo15b3ob2o34b2o$335b2o35bo3bo15b5o$
332b3ob2o30b4obobo17b3o$332b5o30bobo3b2o12b2o33bo$333b3o20bo4b2o4bobo
16bo2bo32b2o5b3o$355bobo2b2obo2b2ob2o18bo15bo14bo2bo3b2o$354bo3bo2b2ob
3o2b4o11b2o5b2o11b2o12b3o6bo4b2o$341b2o12bo2bo4bo3b2obob2o17b2o4b2o4b
3o7b2o4b2o5b2ob2o2bo$341b2o12b2ob2o9b2ob2o11bobo9b2o14b2o5bobo10bo$
371bo14bo35bo7b3o2$371bo14bo35bo7b3o$341b2o12b2ob2o9b2ob2o11bobo9b2o
14b2o5bobo10bo$341b2o12bo2bo4bo3b2obob2o17b2o4b2o4b3o7b2o4b2o5b2ob2o2b
o$354bo3bo2b2ob3o2b4o11b2o5b2o11b2o12b3o6bo4b2o$355bobo2b2obo2b2ob2o
18bo15bo14bo2bo3b2o$333b3o20bo4b2o4bobo16bo2bo32b2o5b3o$332b5o30bobo3b
2o12b2o33bo$332b3ob2o30b4obobo17b3o$335b2o35bo3bo15b5o$373b2obo15b3ob
2o34b2o$375bo19b2o21b4o6b4ob2o$417b6o5b6o$402bo14b4ob2o5b4o$402bobo16b
2o$402b2o$480b2o$478b2ob2o$478b4o$479b2o2$378bo113b2o$378bobo107b4ob2o
5b4o$378b2o108b6o5b6o$466b2o21b4o6b4ob2o$463b3ob2o34b2o$406b2o55b5o21b
o$403b3ob2o46bo8b3o23bo$403b5o21b3o23bo32b4o$354bo49b3o20bo2b2o54b2o3b
ob2o$354bobo69bo3bobo26bo11b2o14bobobobo7b2o$354b2o68bo3bo9bobo13b4obo
10bo2bo13bo3b3o2bo3bo2b2o$408b2o14bo3b2o11bo11bo2bob2o4b2o4bobo7b2o6bo
bo3bo4b3o2bo$408b2o14bo8bo3b2obo12bobo8b2o5bo8b2o7bo4b3o2bo4bo$425bo3b
o3b3o3bo14bo44b5o2$425bo3bo3b3o3bo14bo44b5o$330bo13b2o30b2o30b2o14bo8b
o3b2obo12bobo8b2o5bo8b2o7bo4b3o2bo4bo$330bobo11b2o30b2o30b2o14bo3b2o
11bo11bo2bob2o4b2o4bobo7b2o6bobo3bo4b3o2bo$330b2o92bo3bo9bobo13b4obo
10bo2bo13bo3b3o2bo3bo2b2o$426bo3bobo26bo11b2o14bobobobo7b2o$427bo2b2o
54b2o3bob2o$429b3o23bo32b4o$455bo8b3o23bo$463b5o21bo$463b3ob2o34b2o$
466b2o21b4o6b4ob2o$488b6o5b6o$488b4ob2o5b4o$492b2o$467bo$467bobo$467b
2o$282bo$282bobo$282b2o3$443bo$443bobo$443b2o6$419bo303b4o$419bobo300b
o3bo$419b2o305bo$234bo487bo2bo$234bobo$234b2o497b6o6b2o$732bo5bo4bo4bo
$738bo10bo$395bo312b5o19bo4bo5bo5bo$395bobo309bo4bo20bobo8b6o$395b2o
251b5o59bo$647bo4bo21bo32bo3bo20bo2bo$652bo20bobo33bo21b3ob2o$470b4o
173bo3bo24bo53b2o3bob2o$469bo3bo175bo21bob2o24b2obo12b2o14bo3bo9b3o$
473bo195bob2o25b4ob2o9bo2bo13bobobob2o4bo3b2o$371bo97bo2bo179b2o13b3o
2b2o7b2ob2o11bo4b2o4b2o4bobo7b2o6b5obobo2bobo2b2o$371bobo278b2o14b2o2b
2o3bo4b3o12bobo8b2o5bo8b2o7bo4b2o2bo5bo$371b2o107b6o6b2o183b2o3b2o14bo
40bo3b5o$186bo292bo5bo4bo4bo$186bobo284b2o10bo10bo180b2o3b2o14bo40bo3b
5o$186b2o227b2o38b5o12b2o5bo4bo5bo5bo155b2o14b2o2b2o3bo4b3o12bobo8b2o
5bo8b2o7bo4b2o2bo5bo$414b3o37bo4bo14bo6b2o8b6o155b2o13b3o2b2o7b2ob2o
11bo4b2o4b2o4bobo7b2o6b5obobo2bobo2b2o$412b2o3bo41bo27bo181bob2o25b4ob
2o9bo2bo13bobobob2o4bo3b2o$347bo64bo3bo37bo3bo28b3o159bo21bob2o24b2obo
12b2o14bo3bo9b3o$347bobo61bo44bo21bo7bob2o2bo154bo3bo24bo53b2o3bob2o$
347b2o62b3o2b2o59b3o8b3o2bo158bo20bobo33bo21b3ob2o$411bobob3o38b2o16b
3o10b5o2bo152bo4bo21bo32bo3bo20bo2bo$412b3ob2o20b2o15bo2bo14bo3bo3bo5b
3obob3o152b5o59bo$361b2o30b2o19b2o9b2o10bo2bo8b2o4bobo7b2o5bo2bobo4bo
9b2ob2o210bo4bo20bobo8b6o$361b2o30b2o23b2o5b2o11b2o9b2o5bo8b2o5bo8bo9b
2ob2o212b5o19bo4bo5bo5bo$418b2o53b8o257bo10bo$732bo5bo4bo4bo$418b2o53b
8o252b6o6b2o$418b2o5b2o11b2o9b2o5bo8b2o5bo8bo9b2ob2o216bo$138bo275b2o
9b2o10bo2bo8b2o4bobo7b2o5bo2bobo4bo9b2ob2o213b2o$138bobo271b3ob2o20b2o
15bo2bo14bo3bo3bo5b3obob3o215b2o$138b2o256bo14bobob3o38b2o16b3o10b5o2b
o$394bo3bo12b3o2b2o59b3o8b3o2bo$399bo11bo44bo21bo7bob2o2bo$299bo94bo4b
o12bo3bo37bo3bo28b3o$299bobo93b5o12b2o3bo41bo27bo$299b2o113b3o37bo4bo
14bo6b2o8b6o191bo$415b2o38b5o12b2o5bo4bo5bo5bo189b2o34b2o$473b2o10bo
10bo190b2o32b4o$479bo5bo4bo4bo225b2ob2o$480b6o6b2o229b2o2$732b4o$731b
6o$450bo213bo66b4ob2o$90bo357b2o212b2o43b3o25b2o9b2o$90bobo356b2o212b
2o41b5o15b3o13b4ob2o$90b2o575b2o37b3ob2o14bo15b6o$668b2o39b2o18bo13b4o
$666bobo59bo12bo$251bo413b3o71b2o$251bobo411bo2bo62bo8bo2bo$251b2o387b
o24bob3o39b2o19b4o7b3ob2o$425b2o211b2o26bo2bo21b2o15bo2bo21bo13bo$423b
o30b2o30b2o30b2o30b2o30b2o30b2o23b2o5b2o19b2o9b2o10bo2bo8b2o4bobo7b2o
5b4o2bob2o12bo$423bo30b2o30b2o30b2o30b2o30b2o30b2o30b2o23b2o5b2o11b2o
9b2o5bo8b2o5bobobobo4b2o5bo2b2o$671b2o53b2o2bobo11b2o2$671b2o53b2o2bob
o11b2o$6b2o30b2o30b2o30b2o30b2o30b2o30b2o30b2o30b2o30b2o30b2o30b2o30b
2o30b2o30b2o30b2o30b2o30b2o30b2o30b2o30b2o23b2o5b2o11b2o9b2o5bo8b2o5bo
bobobo4b2o5bo2b2o$6b2o30b2o30b2o30b2o30b2o30b2o30b2o30b2o30b2o30b2o30b
2o30b2o30b2o10bo19b2o30b2o30b2o30b2o30b2o30b2o30b2o30b2o19b2o9b2o10bo
2bo8b2o4bobo7b2o5b4o2bob2o12bo$42bo357b2o264bo2bo21b2o15bo2bo21bo13bo$
6bo35bobo356b2o262bob3o39b2o19b4o7b3ob2o$5bobo34b2o621bo2bo62bo8bo2bo$
5bobo657b3o71b2o$6bo659bobo59bo12bo$203bo464b2o39b2o18bo13b4o$203bobo
461b2o37b3ob2o14bo15b6o$3b2obob2o193b2o387bo113b5o15b3o13b4ob2o$3bo5bo
189b2o30b2o30b2o30b2o30b2o30b2o229b2o115b3o25b2o9b2o$4bo3bo29b2o30b2o
30b2o30b2o30b2o30bo2bo28bo2bo28bo2bo28bo2bo28bo2bo28bo2bo229b2o138b4ob
2o$5b3o30bobo29bobo29bobo29bobo29bobo29bo2bo28bo2bo28bo2bo28bo2bo28bo
2bo28bo2bo369b6o$39b2o30b2o30b2o30b2o30b2o30b2o30b2o30b2o30b2o30b2o30b
2o371b4o2$703bo$702bo$704bo$702bobo$8bo$9bo691bo$7b3o692bo$37b2o30b2o
30b2o30b2o30b2o30b2o30b2o30b2o30b2o30b2o30b2o30b2o30b2o30b2o30b2o30b2o
30b2o177b4o$36bobo29bobo29bobo29bobo29bobo29bo2bo28bo2bo28bo2bo28bo2bo
28bo2bo28bo2bo28bo2bo28bo2bo28bo2bo28bo2bo28bo2bo28bo2bo175b6o$36b2o
30b2o30b2o30b2o30b2o30bo2bo28bo2bo28bo2bo28bo2bo28bo2bo28bo2bo28bo2bo
28bo2bo28bo2bo28bo2bo28bo2bo28bo2bo175b4ob2o$197b2o30b2o30b2o30b2o30b
2o30b2o30b2o10b3o17b2o30b2o30b2o30b2o30b2o152b3o25b2o9b2o$2b5o194b2o
198bo300b5o31b4ob2o$bob3obo193bobo198bo299b3ob2o16b2o12b6o$2bo3bo194bo
464b2o37b2o16bobo13b4o$3b3o659bo2bo53bo2bo12bo$4bo657b2obo61bo9bobo$
590b2o75b2o52bo15bobo$42bo547bobo69bo3b2o39b2o17bobobo10b2o$41b2o547bo
73bobo22b2o15bo2bo13bo2bobo2bo9bobo$4b2o30b2o3bobo24b2o30b2o30b2o30b2o
30b2o30b2o30b2o30b2o30b2o30b2o30b2o30b2o30b2o30b2o30b2o30b2o30b2o30b2o
30b2o30b2o10bo2bo4bo3b2o4bobo7b2o6b2o5bo2bo8bo$4b2o30b2o30b2o30b2o30b
2o30b2o30b2o30b2o30b2o30b2o30b2o30b2o30b2o30b2o30b2o30b2o30b2o30b2o30b
2o30b2o30b2o23b2o5b2o11b2o5bo3b2o5bo8b2o11bobobo2bo4b3o$669b2o55b2obo
3bo2bo2$669b2o55b2obo3bo2bo$644b2o23b2o5b2o11b2o5bo3b2o5bo8b2o11bobobo
2bo4b3o$644b2o30b2o10bo2bo4bo3b2o4bobo7b2o6b2o5bo2bo8bo$449b3o212bobo
22b2o15bo2bo13bo2bobo2bo9bobo$249b2o198bo212bo3b2o39b2o17bobobo10b2o$
249bobo198bo216b2o52bo15bobo$249bo412b2obo61bo9bobo$665bo2bo53bo2bo12b
o$666b2o37b2o16bobo13b4o$638b2o62b3ob2o16b2o12b6o$90bo547bobo61b5o31b
4ob2o$89b2o547bo64b3o25b2o9b2o$89bobo635b4ob2o$727b6o$728b4o2$719b2o$
662b2o53b2ob2o$662bobo52b4o$497b3o162bo55b2o$297b2o198bo$297bobo198bo$
297bo3$686b2o$138bo547bobo$137b2o547bo$137bobo571b2o$707b4ob2o5b4o$
707b6o5b6o$685b2o21b4o6b4ob2o$682b3ob2o34b2o$682b5o21bo$674bo8b3o23bo$
545b3o100b3o23bo32b4o$345b2o198bo100bo2b2o54b2o3bob2o$345bobo198bo98bo
3bobo26bo11b2o14bobobobo7b2o$345bo297bo3bo9bobo13b4obo10bo2bo13bo3b3o
2bo3bo2b2o$563b2o30b2o30b2o14bo3b2o11bo11bo2bob2o4b2o4bobo7b2o6bobo3bo
4b3o2bo$563b2o30b2o30b2o14bo8bo3b2obo12bobo8b2o5bo8b2o7bo4b3o2bo4bo$
644bo3bo3b3o3bo14bo44b5o$186bo$185b2o382b3o72bo3bo3b3o3bo14bo44b5o$
185bobo381bo57b2o14bo8bo3b2obo12bobo8b2o5bo8b2o7bo4b3o2bo4bo$570bo56b
2o14bo3b2o11bo11bo2bob2o4b2o4bobo7b2o6bobo3bo4b3o2bo$643bo3bo9bobo13b
4obo10bo2bo13bo3b3o2bo3bo2b2o$645bo3bobo26bo11b2o14bobobobo7b2o$602b4o
17b3o20bo2b2o54b2o3bob2o$601b6o15b5o21b3o23bo32b4o$601b4ob2o14b3ob2o
46bo8b3o23bo$577b3o13b3o9b2o9b2o7b2o55b5o21bo$393b2o140bobo38b5o12bo
18b4ob2o63b3ob2o34b2o$393bobo138b2o2bo37b3ob2o12bo17b6o67b2o21b4o6b4ob
2o$393bo139b3o2bo40b2o27bo4b4o90b6o5b6o$532b3o72bo2bo96b4ob2o5b4o$532b
obo2b2o59b3o110b2o$531b2ob3obo38b2o17b5o12b2o$234bo297bo6bo37b2o16b3o
14bo3bo81b2o$233b2o298bo4bo20b2o15bo2bo14bo3bo9bo3bo4bo79b4o$233bobo
214b2o30b2o30b2o19b5o6b2o10bo2bo8b2o4bobo7b2o5b2o2bo4b2o5bobo5bo79b2ob
2o$450b2o30b2o30b2o23b2o5b2o11b2o9b2o5bo8b2o5bo6b3o9b2ob3o81b2o$539b2o
53b8o2$539b2o53b8o$539b2o5b2o11b2o9b2o5bo8b2o5bo6b3o9b2ob3o$535b5o6b2o
10bo2bo8b2o4bobo7b2o5b2o2bo4b2o5bobo5bo$533bo4bo20b2o15bo2bo14bo3bo9bo
3bo4bo$441b2o89bo6bo37b2o16b3o14bo3bo$441bobo87b2ob3obo38b2o17b5o12b2o
$441bo77b2o11bobo2b2o59b3o$516b3ob2o10b3o72bo2bo$516b5o12b3o2bo40b2o
27bo4b4o$517b3o14b2o2bo37b3ob2o12bo17b6o$282bo252bobo38b5o12bo18b4ob2o
$281b2o294b3o13b3o9b2o9b2o$281bobo181b2o134b4ob2o$465bobo133b6o$465bo
136b4o$490b2o$486b4ob2o5b4o91b2o$486b6o5b6o88b2ob2o$464b2o21b4o6b4ob2o
87b4o$461b3ob2o34b2o89b2o$461b5o21bo$453bo8b3o23bo$427b3o23bo32b4o$
425bo2b2o54b2o3bob2o$424bo3bobo26bo11b2o14bobobobo7b2o$422bo3bo9bobo
13b4obo10bo2bo13bo3b3o2bo3bo2b2o$330bo11b2o30b2o30b2o14bo3b2o11bo11bo
2bob2o4b2o4bobo7b2o6bobo3bo4b3o2bo$329b2o11b2o30b2o30b2o14bo8bo3b2obo
12bobo8b2o5bo8b2o7bo4b3o2bo4bo$329bobo91bo3bo3b3o3bo14bo44b5o2$423bo3b
o3b3o3bo14bo44b5o$406b2o14bo8bo3b2obo12bobo8b2o5bo8b2o7bo4b3o2bo4bo$
406b2o14bo3b2o11bo11bo2bob2o4b2o4bobo7b2o6bobo3bo4b3o2bo$422bo3bo9bobo
13b4obo10bo2bo13bo3b3o2bo3bo2b2o$354bo69bo3bobo26bo11b2o14bobobobo7b2o
$353b2o47b3o20bo2b2o54b2o3bob2o$353bobo45b5o21b3o23bo32b4o$401b3ob2o
46bo8b3o23bo$404b2o55b5o21bo$461b3ob2o34b2o$464b2o21b4o6b4ob2o$486b6o
5b6o$378bo107b4ob2o5b4o$377b2o111b2o$377bobo$477b2o$476b4o$476b2ob2o$
478b2o$417b2o$402bo12bo4bo$401b2o18bo$343bobo46bo8bobo11bo5bo$343bobo
44bo3bo21b6o5b6o$332bo10bob2o48bo30bo5bo$330bo3bo10b2o43bo4bo36bo$335b
o6bo2bo45b5o30bo4bo$330bo4bo7b2o83b2o$331b5o50b2o$386b2o32b3o5b2o$386b
2o2bo13bo13bo3bo4bob2o$369b2o12b2ob2o3bo11bobo12bo7b2obobo$356b2o10bo
2bo8b2o2bobo4bo4b2o4bo9b2o4bo7bob2ob2o$356b2o11b2o9b2o2b3o3bo5b2o5bo8b
2o5bo2bo3bo3b2o$420bobo5b3o2$420bobo5b3o$356b2o11b2o9b2o2b3o3bo5b2o5bo
8b2o5bo2bo3bo3b2o$356b2o10bo2bo8b2o2bobo4bo4b2o4bo9b2o4bo7bob2ob2o$
369b2o12b2ob2o3bo11bobo12bo7b2obobo$386b2o2bo13bo13bo3bo4bob2o$386b2o
32b3o5b2o$331b5o50b2o$330bo4bo7b2o83b2o$335bo6bo2bo45b5o30bo4bo$330bo
3bo10b2o43bo4bo36bo$332bo10bob2o48bo30bo5bo$343bobo44bo3bo21b6o5b6o$
343bobo46bo8bobo11bo5bo$401bobo17bo$403bo11bo4bo$417b2o$406b4o$405bo3b
o$409bo$405bo2bo3$404bo2bo$408bo$404bo3bo$405b4o$416b2o$402bo11bo4bo$
400bobo17bo$342bobo46bo8bobo11bo5bo$342bobo44bo3bo21b6o5b6o$331bo10bob
2o48bo30bo5bo$329bo3bo10b2o43bo4bo36bo$334bo6bo2bo45b5o30bo4bo$329bo4b
o7b2o83b2o$330b5o50b2o$385b2o32b3o5b2o$385b2o2bo13bo13bo3bo4bob2o$368b
2o12b2ob2o3bo11bobo12bo7b2obobo$355b2o10bo2bo8b2o2bobo4bo4b2o4bo9b2o4b
o7bob2ob2o$355b2o11b2o9b2o2b3o3bo5b2o5bo8b2o5bo2bo3bo3b2o$419bobo5b3o
2$419bobo5b3o$355b2o11b2o9b2o2b3o3bo5b2o5bo8b2o5bo2bo3bo3b2o$355b2o10b
o2bo8b2o2bobo4bo4b2o4bo9b2o4bo7bob2ob2o$368b2o12b2ob2o3bo11bobo12bo7b
2obobo$385b2o2bo13bo13bo3bo4bob2o$385b2o32b3o5b2o$330b5o50b2o$329bo4bo
7b2o83b2o$334bo6bo2bo45b5o30bo4bo$329bo3bo10b2o43bo4bo36bo$331bo10bob
2o48bo30bo5bo$342bobo44bo3bo21b6o5b6o$342bobo46bo8bobo11bo5bo$400b2o
18bo$401bo12bo4bo$416b2o$477b2o$475b2ob2o$475b4o$476b2o$376bobo$376b2o
111b2o$377bo107b4ob2o5b4o$485b6o5b6o$463b2o21b4o6b4ob2o$460b3ob2o34b2o
$403b2o55b5o21bo$400b3ob2o46bo8b3o23bo$352bobo45b5o21b3o23bo32b4o$352b
2o47b3o20bo2b2o54b2o3bob2o$353bo69bo3bobo26bo11b2o14bobobobo7b2o$421bo
3bo9bobo13b4obo10bo2bo13bo3b3o2bo3bo2b2o$405b2o14bo3b2o11bo11bo2bob2o
4b2o4bobo7b2o6bobo3bo4b3o2bo$405b2o14bo8bo3b2obo12bobo8b2o5bo8b2o7bo4b
3o2bo4bo$422bo3bo3b3o3bo14bo44b5o2$328bobo91bo3bo3b3o3bo14bo44b5o$328b
2o11b2o30b2o30b2o14bo8bo3b2obo12bobo8b2o5bo8b2o7bo4b3o2bo4bo$329bo11b
2o30b2o30b2o14bo3b2o11bo11bo2bob2o4b2o4bobo7b2o6bobo3bo4b3o2bo$421bo3b
o9bobo13b4obo10bo2bo13bo3b3o2bo3bo2b2o$423bo3bobo26bo11b2o14bobobobo7b
2o$424bo2b2o54b2o3bob2o$426b3o23bo32b4o$452bo8b3o23bo$460b5o21bo$460b
3ob2o34b2o89b2o$463b2o21b4o6b4ob2o87b4o$485b6o5b6o88b2ob2o$485b4ob2o5b
4o91b2o$489b2o$464bo136b4o$464bobo133b6o$280bobo181b2o134b4ob2o$280b2o
294b3o13b3o9b2o9b2o$281bo252bobo38b5o12bo18b4ob2o$516b3o14b2o2bo37b3ob
2o12bo17b6o$515b5o12b3o2bo40b2o27bo4b4o$515b3ob2o10b3o72bo2bo$440bo77b
2o11bobo2b2o59b3o$440bobo87b2ob3obo38b2o17b5o12b2o$440b2o89bo6bo37b2o
16b3o14bo3bo$532bo4bo20b2o15bo2bo14bo3bo9bo3bo4bo$534b5o6b2o10bo2bo8b
2o4bobo7b2o5b2o2bo4b2o5bobo5bo$538b2o5b2o11b2o9b2o5bo8b2o5bo6b3o9b2ob
3o$538b2o53b8o2$538b2o53b8o$449b2o30b2o30b2o23b2o5b2o11b2o9b2o5bo8b2o
5bo6b3o9b2ob3o81b2o$232bobo214b2o30b2o30b2o19b5o6b2o10bo2bo8b2o4bobo7b
2o5b2o2bo4b2o5bobo5bo79b2ob2o$232b2o298bo4bo20b2o15bo2bo14bo3bo9bo3bo
4bo79b4o$233bo297bo6bo37b2o16b3o14bo3bo81b2o$530b2ob3obo38b2o17b5o12b
2o$531bobo2b2o59b3o110b2o$531b3o72bo2bo96b4ob2o5b4o$392bo139b3o2bo40b
2o27bo4b4o90b6o5b6o$392bobo138b2o2bo37b3ob2o12bo17b6o67b2o21b4o6b4ob2o
$392b2o140bobo38b5o12bo18b4ob2o63b3ob2o34b2o$576b3o13b3o9b2o9b2o7b2o
55b5o21bo$600b4ob2o14b3ob2o46bo8b3o23bo$600b6o15b5o21b3o23bo32b4o$601b
4o17b3o20bo2b2o54b2o3bob2o$644bo3bobo26bo11b2o14bobobobo7b2o$642bo3bo
9bobo13b4obo10bo2bo13bo3b3o2bo3bo2b2o$569bo56b2o14bo3b2o11bo11bo2bob2o
4b2o4bobo7b2o6bobo3bo4b3o2bo$184bobo381bo57b2o14bo8bo3b2obo12bobo8b2o
5bo8b2o7bo4b3o2bo4bo$184b2o382b3o72bo3bo3b3o3bo14bo44b5o$185bo$643bo3b
o3b3o3bo14bo44b5o$562b2o30b2o30b2o14bo8bo3b2obo12bobo8b2o5bo8b2o7bo4b
3o2bo4bo$562b2o30b2o30b2o14bo3b2o11bo11bo2bob2o4b2o4bobo7b2o6bobo3bo4b
3o2bo$344bo297bo3bo9bobo13b4obo10bo2bo13bo3b3o2bo3bo2b2o$344bobo198bo
98bo3bobo26bo11b2o14bobobobo7b2o$344b2o198bo100bo2b2o54b2o3bob2o$544b
3o100b3o23bo32b4o$673bo8b3o23bo$681b5o21bo$681b3ob2o34b2o$684b2o21b4o
6b4ob2o$706b6o5b6o$706b4ob2o5b4o$136bobo571b2o$136b2o547bo$137bo547bob
o$685b2o3$296bo$296bobo198bo$296b2o198bo$496b3o162bo55b2o$661bobo52b4o
$661b2o53b2ob2o$718b2o2$727b4o$726b6o$88bobo635b4ob2o$88b2o547bo64b3o
25b2o9b2o$89bo547bobo61b5o31b4ob2o$637b2o62b3ob2o16b2o12b6o$665b2o37b
2o16bobo13b4o$664bo2bo53bo2bo12bo$248bo412b2obo61bo9bobo$248bobo198bo
216b2o52bo15bobo$248b2o198bo212bo3b2o39b2o17bobobo10b2o$448b3o212bobo
22b2o15bo2bo13bo2bobo2bo9bobo$643b2o30b2o10bo2bo4bo3b2o4bobo7b2o6b2o5b
o2bo8bo$643b2o23b2o5b2o11b2o5bo3b2o5bo8b2o11bobobo2bo4b3o$668b2o55b2ob
o3bo2bo2$668b2o55b2obo3bo2bo$3b2o30b2o30b2o30b2o30b2o30b2o30b2o30b2o
30b2o30b2o30b2o30b2o30b2o30b2o30b2o30b2o30b2o30b2o30b2o30b2o30b2o23b2o
5b2o11b2o5bo3b2o5bo8b2o11bobobo2bo4b3o$3b2o30b2o3bobo24b2o30b2o30b2o
30b2o30b2o30b2o30b2o30b2o30b2o30b2o30b2o30b2o30b2o30b2o30b2o30b2o30b2o
30b2o30b2o30b2o10bo2bo4bo3b2o4bobo7b2o6b2o5bo2bo8bo$40b2o547bo73bobo
22b2o15bo2bo13bo2bobo2bo9bobo$41bo547bobo69bo3b2o39b2o17bobobo10b2o$
589b2o75b2o52bo15bobo$3bo657b2obo61bo9bobo$2b3o659bo2bo53bo2bo12bo$bo
3bo194bo464b2o37b2o16bobo13b4o$ob3obo193bobo198bo299b3ob2o16b2o12b6o$b
5o194b2o198bo300b5o31b4ob2o$196b2o30b2o30b2o30b2o30b2o30b2o30b2o10b3o
17b2o30b2o30b2o30b2o30b2o152b3o25b2o9b2o$35b2o30b2o30b2o30b2o30b2o30bo
2bo28bo2bo28bo2bo28bo2bo28bo2bo28bo2bo28bo2bo28bo2bo28bo2bo28bo2bo28bo
2bo28bo2bo175b4ob2o$35bobo29bobo29bobo29bobo29bobo29bo2bo28bo2bo28bo2b
o28bo2bo28bo2bo28bo2bo28bo2bo28bo2bo28bo2bo28bo2bo28bo2bo28bo2bo175b6o
$36b2o30b2o30b2o30b2o30b2o30b2o30b2o30b2o30b2o30b2o30b2o30b2o30b2o30b
2o30b2o30b2o30b2o177b4o$6b3o692bo$8bo691bo$7bo$701bobo$703bo$701bo$
702bo2$38b2o30b2o30b2o30b2o30b2o30b2o30b2o30b2o30b2o30b2o30b2o371b4o$
4b3o30bobo29bobo29bobo29bobo29bobo29bo2bo28bo2bo28bo2bo28bo2bo28bo2bo
28bo2bo369b6o$3bo3bo29b2o30b2o30b2o30b2o30b2o30bo2bo28bo2bo28bo2bo28bo
2bo28bo2bo28bo2bo229b2o138b4ob2o$2bo5bo189b2o30b2o30b2o30b2o30b2o30b2o
229b2o115b3o25b2o9b2o$2b2obob2o193b2o387bo113b5o15b3o13b4ob2o$202bobo
461b2o37b3ob2o14bo15b6o$202bo464b2o39b2o18bo13b4o$5bo659bobo59bo12bo$
4bobo657b3o71b2o$4bobo34b2o621bo2bo62bo8bo2bo$5bo35bobo356b2o262bob3o
39b2o19b4o7b3ob2o$41bo357b2o264bo2bo21b2o15bo2bo21bo13bo$5b2o30b2o30b
2o30b2o30b2o30b2o30b2o30b2o30b2o30b2o30b2o30b2o30b2o10bo19b2o30b2o30b
2o30b2o30b2o30b2o30b2o30b2o19b2o9b2o10bo2bo8b2o4bobo7b2o5b4o2bob2o12bo
$5b2o30b2o30b2o30b2o30b2o30b2o30b2o30b2o30b2o30b2o30b2o30b2o30b2o30b2o
30b2o30b2o30b2o30b2o30b2o30b2o30b2o23b2o5b2o11b2o9b2o5bo8b2o5bobobobo
4b2o5bo2b2o$670b2o53b2o2bobo11b2o2$670b2o53b2o2bobo11b2o$422bo30b2o30b
2o30b2o30b2o30b2o30b2o30b2o23b2o5b2o11b2o9b2o5bo8b2o5bobobobo4b2o5bo2b
2o$422bo30b2o30b2o30b2o30b2o30b2o30b2o23b2o5b2o19b2o9b2o10bo2bo8b2o4bo
bo7b2o5b4o2bob2o12bo$424b2o211b2o26bo2bo21b2o15bo2bo21bo13bo$250b2o
387bo24bob3o39b2o19b4o7b3ob2o$250bobo411bo2bo62bo8bo2bo$250bo413b3o71b
2o$665bobo59bo12bo$667b2o39b2o18bo13b4o$89b2o575b2o37b3ob2o14bo15b6o$
89bobo356b2o212b2o41b5o15b3o13b4ob2o$89bo357b2o212b2o43b3o25b2o9b2o$
449bo213bo66b4ob2o$730b6o$731b4o2$479b6o6b2o229b2o$478bo5bo4bo4bo225b
2ob2o$472b2o10bo10bo190b2o32b4o$414b2o38b5o12b2o5bo4bo5bo5bo189b2o34b
2o$298b2o113b3o37bo4bo14bo6b2o8b6o191bo$298bobo93b5o12b2o3bo41bo27bo$
298bo94bo4bo12bo3bo37bo3bo28b3o$398bo11bo44bo21bo7bob2o2bo$393bo3bo12b
3o2b2o59b3o8b3o2bo$137b2o256bo14bobob3o38b2o16b3o10b5o2bo$137bobo271b
3ob2o20b2o15bo2bo14bo3bo3bo5b3obob3o215b2o$137bo275b2o9b2o10bo2bo8b2o
4bobo7b2o5bo2bobo4bo9b2ob2o213b2o$417b2o5b2o11b2o9b2o5bo8b2o5bo8bo9b2o
b2o216bo$417b2o53b8o252b6o6b2o$731bo5bo4bo4bo$417b2o53b8o257bo10bo$
360b2o30b2o23b2o5b2o11b2o9b2o5bo8b2o5bo8bo9b2ob2o212b5o19bo4bo5bo5bo$
360b2o30b2o19b2o9b2o10bo2bo8b2o4bobo7b2o5bo2bobo4bo9b2ob2o210bo4bo20bo
bo8b6o$411b3ob2o20b2o15bo2bo14bo3bo3bo5b3obob3o152b5o59bo$410bobob3o
38b2o16b3o10b5o2bo152bo4bo21bo32bo3bo20bo2bo$346b2o62b3o2b2o59b3o8b3o
2bo158bo20bobo33bo21b3ob2o$346bobo61bo44bo21bo7bob2o2bo154bo3bo24bo53b
2o3bob2o$346bo64bo3bo37bo3bo28b3o159bo21bob2o24b2obo12b2o14bo3bo9b3o$
411b2o3bo41bo27bo181bob2o25b4ob2o9bo2bo13bobobob2o4bo3b2o$413b3o37bo4b
o14bo6b2o8b6o155b2o13b3o2b2o7b2ob2o11bo4b2o4b2o4bobo7b2o6b5obobo2bobo
2b2o$185b2o227b2o38b5o12b2o5bo4bo5bo5bo155b2o14b2o2b2o3bo4b3o12bobo8b
2o5bo8b2o7bo4b2o2bo5bo$185bobo284b2o10bo10bo180b2o3b2o14bo40bo3b5o$
185bo292bo5bo4bo4bo$370b2o107b6o6b2o183b2o3b2o14bo40bo3b5o$370bobo278b
2o14b2o2b2o3bo4b3o12bobo8b2o5bo8b2o7bo4b2o2bo5bo$370bo97bo2bo179b2o13b
3o2b2o7b2ob2o11bo4b2o4b2o4bobo7b2o6b5obobo2bobo2b2o$472bo195bob2o25b4o
b2o9bo2bo13bobobob2o4bo3b2o$468bo3bo175bo21bob2o24b2obo12b2o14bo3bo9b
3o$469b4o173bo3bo24bo53b2o3bob2o$651bo20bobo33bo21b3ob2o$646bo4bo21bo
32bo3bo20bo2bo$394b2o251b5o59bo$394bobo309bo4bo20bobo8b6o$394bo312b5o
19bo4bo5bo5bo$737bo10bo$731bo5bo4bo4bo$233b2o497b6o6b2o$233bobo$233bo
487bo2bo$418b2o305bo$418bobo300bo3bo$418bo303b4o6$442b2o$442bobo$442bo
3$281b2o$281bobo$281bo$466b2o$466bobo$466bo$491b2o$487b4ob2o5b4o$487b
6o5b6o$465b2o21b4o6b4ob2o$462b3ob2o34b2o$462b5o21bo$454bo8b3o23bo$428b
3o23bo32b4o$426bo2b2o54b2o3bob2o$425bo3bobo26bo11b2o14bobobobo7b2o$
329b2o92bo3bo9bobo13b4obo10bo2bo13bo3b3o2bo3bo2b2o$329bobo11b2o30b2o
30b2o14bo3b2o11bo11bo2bob2o4b2o4bobo7b2o6bobo3bo4b3o2bo$329bo13b2o30b
2o30b2o14bo8bo3b2obo12bobo8b2o5bo8b2o7bo4b3o2bo4bo$424bo3bo3b3o3bo14bo
44b5o2$424bo3bo3b3o3bo14bo44b5o$407b2o14bo8bo3b2obo12bobo8b2o5bo8b2o7b
o4b3o2bo4bo$407b2o14bo3b2o11bo11bo2bob2o4b2o4bobo7b2o6bobo3bo4b3o2bo$
353b2o68bo3bo9bobo13b4obo10bo2bo13bo3b3o2bo3bo2b2o$353bobo69bo3bobo26b
o11b2o14bobobobo7b2o$353bo49b3o20bo2b2o54b2o3bob2o$402b5o21b3o23bo32b
4o$402b3ob2o46bo8b3o23bo$405b2o55b5o21bo$462b3ob2o34b2o$465b2o21b4o6b
4ob2o$377b2o108b6o5b6o$377bobo107b4ob2o5b4o$377bo113b2o2$478b2o$477b4o
$477b2ob2o$479b2o$401b2o$401bobo16b2o$401bo14b4ob2o5b4o$416b6o5b6o$
374bo19b2o21b4o6b4ob2o$372b2obo15b3ob2o34b2o$334b2o35bo3bo15b5o$331b3o
b2o30b4obobo17b3o$331b5o30bobo3b2o12b2o33bo$332b3o20bo4b2o4bobo16bo2bo
32b2o5b3o$354bobo2b2obo2b2ob2o18bo15bo14bo2bo3b2o$353bo3bo2b2ob3o2b4o
11b2o5b2o11b2o12b3o6bo4b2o$340b2o12bo2bo4bo3b2obob2o17b2o4b2o4b3o7b2o
4b2o5b2ob2o2bo$340b2o12b2ob2o9b2ob2o11bobo9b2o14b2o5bobo10bo$370bo14bo
35bo7b3o2$370bo14bo35bo7b3o$340b2o12b2ob2o9b2ob2o11bobo9b2o14b2o5bobo
10bo$340b2o12bo2bo4bo3b2obob2o17b2o4b2o4b3o7b2o4b2o5b2ob2o2bo$353bo3bo
2b2ob3o2b4o11b2o5b2o11b2o12b3o6bo4b2o$354bobo2b2obo2b2ob2o18bo15bo14bo
2bo3b2o$332b3o20bo4b2o4bobo16bo2bo32b2o5b3o$331b5o30bobo3b2o12b2o33bo$
331b3ob2o30b4obobo17b3o$334b2o35bo3bo15b5o$372b2obo15b3ob2o34b2o$374bo
19b2o21b4o6b4ob2o$416b6o5b6o$416b4ob2o5b4o$403b2o15b2o$402bo$407b2o$
406b4o$406b2ob2o$408b2o!
Is there a script that can do that for any puffer/rake?

User avatar
Tropylium
Posts: 421
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Location: Finland

Re: Is there a rake/puffer period generator?

Post by Tropylium » November 16th, 2015, 9:49 pm

No idea about a script, but for things like rakes and puffers, calculating a period by hand is of course quite simple: note when one instance of a final periodic output has been finished assembled, set that as generation 0, and run the pattern until the next one finishes. The main gun explosion reaction here seems to have period 992 = 64 × 15.5 (looking e.g. at the main bowline of backwards gliders). And since the engine is period 64, that gives an overall period of 1984. (Amusing how this is not a multiple of 30, despite the temporary GGGs.) The series of two guns left behind struggling do not seem to interact with following members in the series.

drc
Posts: 1664
Joined: December 3rd, 2015, 4:11 pm

Re: Is there a rake/puffer period generator?

Post by drc » December 11th, 2015, 9:08 pm

Tropylium wrote:No idea about a script, but for things like rakes and puffers, calculating a period by hand is of course quite simple: note when one instance of a final periodic output has been finished assembled, set that as generation 0, and run the pattern until the next one finishes. The main gun explosion reaction here seems to have period 992 = 64 × 15.5 (looking e.g. at the main bowline of backwards gliders). And since the engine is period 64, that gives an overall period of 1984. (Amusing how this is not a multiple of 30, despite the temporary GGGs.) The series of two guns left behind struggling do not seem to interact with following members in the series.
Sorry for the late reply, but what about something like this:

Code: Select all

x = 103, y = 94, rule = B3/S23
87b2o$85bo4bo$91bo$62bo22bo5bo$60bo3bo21b6o5b6o$2bo62bo30bo5bo$o3bo55b
o4bo36bo$5bo55b5o30bo4bo$o4bo92b2o$b5o$97bo$96bo$95b2o3b2o$95bobo3b2o$
96bo3b2o$100bo2$100bo$96bo3b2o$95bobo3b2o$95b2o3b2o$96bo$97bo$b5o$o4bo
92b2o$5bo55b5o30bo4bo$o3bo55bo4bo36bo$2bo62bo30bo5bo$60bo3bo21b6o5b6o$
62bo22bo5bo$91bo$85bo4bo$87b2o25$5b3o11b3o$4bo3bo9bo3bo$3b2o4bo7bo4b2o
$2bobob2ob2o5b2ob2obobo$b2obo4bob2ob2obo4bob2o$o4bo3bo2bobo2bo3bo4bo$
12bobo$2o7b2obobob2o7b2o$12bobo$6b3o9b3o$6bo9bo3bo$11b3o4bobo$5b2o4bo
2bo$11bo$11bo3bo$11bo3bo$11bo$12bobo2$15bo$13bo3bo$18bo$13bo4bo$14b5o
4$16b2o$13b3ob2o$14b4o$15b2o2$12b2o$10bo4bo$16bo$10bo5bo$11b6o!
I seriously don't know where to start.

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Scorbie
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Re: Is there a rake/puffer period generator?

Post by Scorbie » December 11th, 2015, 11:38 pm

@drc I'm pretty sure Nick Gotts would like that pattern :) I forgot what we call that, but that thing is pretty irregular and it's pattern is highly complex.

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dvgrn
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Re: Is there a rake/puffer period generator?

Post by dvgrn » December 12th, 2015, 11:53 am

Scorbie wrote:@drc I'm pretty sure Nick Gotts would like that pattern :) I forgot what we call that, but that thing is pretty irregular and it's pattern is highly complex.
My favorite label for this kind of thing is "novelty generator" (Bill Gosper's term, I think -- he's done quite a bit of investigation of patterns like this one.)

"Novelty generator" correctly implies that there's no period to be found, so you don't have to worry about finding one -- at least, not unless you're willing to simulate it for a highly unreasonable number of generations, at which point it might possibly settle into some kind of high-period repeating pattern.

An imperfect test is to keep running it in Golly until Golly stops seeing any new hashtiles, at which point novelty generation will have stopped, and the simulation will get much faster. If this never happens, then either the pattern is an infinite novelty generator, or (at least equally possible) your computer doesn't have enough memory to hold all the hashtiles. Some patterns might run out of novelty eventually, but would need petabytes of hash tables before Golly could "run away" with the simulation.

You can certainly calculate periods for various pieces, though. For example, there's an interesting p6220 parasite toward the top. Turns out that this is one that has been found before, and there's a way to put two rakes together in such a way that a parasite can make copies of itself -- up to a point:

Code: Select all

x = 30, y = 45, rule = B3/S23
6bo13bo$5b3o11b3o$3b2ob3o9b3ob2o$4bo2bob2o5b2obo2bo$b2obo4bobo3bobo4bo
b2o$b2obobo2bob2ob2obo2bobob2o$bo8bobobobo8bo$2o7b2obobob2o7b2o$12bobo
$7b3obo3bob3o$6b2o11b2o$6bo5bo4b2o2bo$5b2o4b3o3b2o2bo$11bob2o3b3o$12b
3o4bo$12b3o$12b3o$12b2o2$19bobo$20b2o$15b2o3bo$8b2o6b2o$7b2o6bo$9bo3$
17b2o$10bo6b3o$9b3obo3b3o$8b2obo5b3o$8b2o6bob2o$8b2o6b3o4b2o$8b2ob2o4b
o5bo$9b2o11b2o$10b3obo3bob3o$15bobo$3b2o7b2obobob2o7b2o$4bo8bobobobo8b
o$4b2obobo2bob2ob2obo2bobob2o$4b2obo4bobo3bobo4bob2o$7bo2bob2o5b2obo2b
o$6b2ob3o9b3ob2o$8b3o11b3o$9bo13bo!
Parasites have been found on other backrake streams, such as the following variants found by Mitchell Riley in 2009:

Code: Select all

x = 286, y = 86, rule = B3/S23
2o$2o3b2o$5bobo$5bo$b2o$b2o7$36b2o$36b2o3b2o$41bobo$41bo$37b2o11b2o$
37b2o11bobo$50bo$59b2o$59bobo$59bo5$86b2o$86b2o3$87b2o$87b2o6b2o163b2o
$95bobo160b2ob2o$95bo162b4o$104b2o153b2o$104bobo$104bo151b2o14b2o$256b
obo9b4ob2o5b4o$256bo11b6o5b6o$246b2o21b4o6b4ob2o$227bo15b3ob2o34b2o$
186b2o35bob4o14b5o$183b3ob2o33b3o4bo11b6o$183b5o38b5o9bobo$184b3o27bo
8bob2ob3o9bo34bo$209bo4b2o4b2obobo2b3o10bo2bo29b4o3b2o$140b2o67bo4b3o
3b2o3bo2b2o4bo3b2o4bo28b2o6bob2o$140bobo51b2o8b2o3bo2b4o6b4obobo3bobo
2bo5bo5b2o5b3obo4b2o6b2obo6bo$140bo53b2o10bo3b5o8bo9bobo3bo3bo6b2o4bo
4bo4b2o7b2o3bo3bo$149b2o59bo29b3o14bo18bo3b4o$149bobo$149bo60bo29b3o
14bo18bo3b4o$194b2o10bo3b5o8bo9bobo3bo3bo6b2o4bo4bo4b2o7b2o3bo3bo$161b
3o30b2o8b2o3bo2b4o6b4obobo3bobo2bo5bo5b2o5b3obo4b2o6b2obo6bo$160bo3bo
44bo4b3o3b2o3bo2b2o4bo3b2o4bo28b2o6bob2o$159bo6bobo40bo4b2o4b2obobo2b
3o10bo2bo29b4o3b2o$159bo9bo44bo8bob2ob3o9bo34bo$159bo66b5o9bobo$160bo
3bo11b2o44b3o4bo11b6o$161b3o12bobo44bob4o14b5o$176bo50bo15b3ob2o34b2o$
185b2o59b2o21b4o6b4ob2o$185bobo68bo11b6o5b6o$185bo70bobo9b4ob2o5b4o$
194b2o60b2o14b2o$194bobo22b3o$194bo23b5o36b2o$203b2o13b3ob2o7b2o5bo2bo
16b4o$203bobo15b2o7b4o8bo15b2ob2o$203bo26b2ob2o3bo3bo17b2o$188b2o22b2o
18b2o5b4o$184b4ob2o21bobo$184b6o22bo8b2o$185b4o31bo2bo$219bob2o7b2o$
218b2ob2o6b2o7b3o$219bobo8bobo7bo$220bo10b2o7bo$233bo5bo$217bo2bo16bo$
221bo$217bo3bo$218b4o15b2o$234b3ob2o$234b5o$235b3o!

Code: Select all

x = 86, y = 286, rule = B3/S23
24bo21bo$23b3o5b3o3b3o5b3o$22b2obo5bo2bobo2bo5bob2o$22b3o5bo3bobo3bo5b
3o$22b3o5b2o2bobo2b2o5b3o$22b3o8b2ob2o8b3o$23b2o21b2o2$30bobo5bobo$30b
o2b2ob2o2bo$29b2ob2o3b2ob2o$22bo7b3o5b3o7bo$21b3o7bo7bo7b3o$21bob2o21b
2obo$22b3o21b3o$22b3o21b3o$22b3o21b3o$22b2o23b2o$32b2o3b2o$32b2o3b2o4$
17bo35bo$16b3o13b2o3b2o13b3o$16bob2o31b2obo$17b3o12bo5bo12b3o$17b2o3bo
9bo5bo9bo3b2o$21bo10bobobobo10bo$21b3o9bo3bo9b3o5$32b2o3b2o$32b2o3b2o
2$25bo19bo$24b3o17b3o$24bob2o15b2obo$25b3o15b3o$25b3o2b3o5b3o2b3o$25b
3o5bo3bo5b3o$15b3o9b2o5bobo5b2o$15bo2bo8bo2bo3bobo3bo2bo$8b3o4bo12b2o
4bobo4b2o$2bo4bo2bo4bo15bobo3bobo$b3o6bo5bobo12b2o5b2o$2obo2bo$3o$3o
29b2o3b2o$b2o13bo14bo7bo$7bo7b3o14b2o3b2o$8b2o5bob2o$8bo2bo4b3o$9b3o4b
2o10b3o9b3o$10bo16b6o5b6o$26bob4o7b4obo$25b2obo3bo5bo3bob2o$26bob2o11b
2obo$26bo2b4o5b4o2bo$27bo4bo5bo4bo$12bo5bo7b2ob2ob2o3b2ob2ob2o$10b2obo
3b3o7bo4bo5bo4bo$3b3o3b3obo3bob2o9b2o7b2o$3bo2bobo3bo5b3o9b2o7b2o$3bo
5b3o6b3o$3bo6bo7b2o$4bobo$31bo7bo$30b3o5b3o$14bo14b5o3b5o$15bo16b2o3b
2o$13b3o16b2o3b2o$33bo3bo$33b2ob2o$30b3o5b3o3$33bo3bo$17bo14bo5bo$18bo
13bo5bo$16b3o7$20bo$21bo10b2o3b2o$19b3o10b2o3b2o4$14bo$13b3o$12b2obo
27bo$12b3o8bo18b3o$12b3o9bo16b2obo$12b3o7b3o16b3o$13b2o26b3o$42b2o5$
26bo$27bo$25b3o7$29bo$30bo2$30bo2$27bo3bo$26bo5bo$26bo5bo$26bo5bo$27bo
3bo$28b3o8$35bo$36bo$34b3o7$38bo$39bo$37b3o34$50bo$51bo$49b3o7$53bo$
54bo$52b3o7$54b2o$54b2o2b2o$58b2o25$65bo$66bo$64b3o7$68bo$69bo$67b3o7$
71bo$72bo$70b3o3$68b2o$68b2o2b2o$72b2o29$83bo$84bo$82b3o3$80b2o$80b2o
2b2o$84b2o!

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