## Interesting Fractal Pattern

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

### Interesting Fractal Pattern

Im new to this whole game of life thing, came from the world of acid/shrooms to new perspective's on life. I've always been most interested in fractals, and why they occur in nature as they do. Why our brain picks them up in altered states, and why they always seem to be somewhat explainable with our custom languages we've made up. Ex. (Algebra, Geometry). Not saying they are explainable, but the languages that are given to us do seem to help explain them to someone else. Anyways, on to my questions, I've been noticing whenever I put a fractal into the game of life, it either comes out with nothing.... or if tweaked just right, it can come out with a ton more population. Does this happen for all fractals? Are fractals even an important key in this perception theory, or am I just absolutely crazy. Here is one that I have been messing with and I got it from 148 to 712. It stops at exactly 2000.
Attachments
Fractal 3.mc
I find this one the most interesting, it was taken from the core of the second one. Modified to add more population.
Fractal 2.mc
Im finding if I add something for the "movers" whatever they're called to hit, I get more population results.
Fractal 1.mc
Transcendance

Posts: 1
Joined: November 23rd, 2014, 5:52 pm

### Re: Interesting Fractal Pattern

Transcendance wrote:I've been noticing whenever I put a fractal into the game of life, it either comes out with nothing.... or if tweaked just right, it can come out with a ton more population. Does this happen for all fractals?

You seem to be using some non-standard definition of "fractal". The files you posted are simply symmetric patterns, not fractals in any usual sense. In a Game of Life context, a "fractal" would probably mean a pattern that is in some way recursive, e.g. the later stages of the following series:
`x = 83, y = 83, rule = B3/S2352bobobobobobobobobobobobobobobobo\$53bo3bo3bo3bo3bo3bo3bo3bo\$54bobobo3bobobo3bobobo3bobobo\$55bo7bo7bo7bo\$56bobobobobobo5bobobobobobo\$57bo3bo3bo7bo3bo3bo\$58bobobo3bo7bobobo3bo\$59bo15bo\$60bobobobobobobobobobobobo\$61bo3bo3bo3bo3bo3bo\$62bobobo3bobobo3bobobo\$63bo7bo7bo\$64bobobobobobo5bobo\$65bo3bo3bo7bo\$66bobobo3bo7bo\$67bo\$68bobobobobobobobo\$69bo3bo3bo3bo\$70bobobo3bobobo\$71bo7bo\$72bobobobobobo\$73bo3bo3bo\$74bobobo3bo\$75bo\$76bobobobo\$77bo3bo\$78bobobo\$79bo\$80bobo\$81bo\$82bo10\$28bobobobobobobobo\$29bo3bo3bo3bo\$30bobobo3bobobo\$31bo7bo\$32bobobobobobo\$33bo3bo3bo\$34bobobo3bo\$35bo\$36bobobobo\$37bo3bo\$38bobobo\$39bo\$40bobo\$41bo\$42bo6\$16bobobobo\$17bo3bo\$18bobobo\$19bo\$20bobo\$21bo\$22bo14\$obo\$bo\$2bo!`

(you can copy and paste the above into your Game of Life program of choice)

Anyway, as for your question, asked of highly symmetric patterns: they do have the feature that if they will grow, they will grow quite a bit. This is because any growth will repeat itself at several points. E.g. your example patterns have four-fold symmetry, so any growth that occurs is "magnified four-fold".

But no, there is no general principle that would require symmetric patterns to grow more than non-symmetric patterns of the same size. In fact the opposite applies, kind of; most patterns are not symmetric, so the strongest-growing pattern of any given size is probably not symmetric either.

For example, your pattern "Fractal 3" develops over lifespan of about 500 generations, and grows from 48 cells to a final population of 160. Doing some trial and error tweaking, here is a minor modification that is asymmetric, and reaches a much higher lifespan (> 3000) and population (final ~800):
`x = 10, y = 10, rule = B3/S236o3bo\$bo3bo2b2o\$2bo4bobo\$3bo2b2obo\$2o2b2o3bo\$o3b2o2b2o\$ob2o2bo\$obo3b2o\$2o2bo3bo\$o3b6o!`

Tropylium

Posts: 406
Joined: May 31st, 2011, 7:12 pm
Location: Finland

### Re: Interesting Fractal Pattern

There has been a post about fractals in the Game of Life quite recently: viewtopic.php?p=13301#p13301
Ivan Fomichev

codeholic
Moderator

Posts: 1141
Joined: September 13th, 2011, 8:23 am
Location: Hamburg, Germany

### Re: Interesting Fractal Pattern

While ago I've designed Serpinsky glider gun

`x = 3979, y = 1975, rule = B3/S231986b3o\$1988bo\$1987bo2b2o\$1990bobo\$1990bo476\$1506b3o\$1508bo\$1507bo962b2o\$2470bobo\$2470bo476\$1026b3o\$1028bo\$1027bo1922b2o\$2950bobo\$2950bo233\$1185b2o\$1185bobo\$1185bo\$786b3o2003b3o\$788bo2005bo\$787bo2005bo396b2o\$3190bobo\$3190bo233\$1425b2o\$1425bobo\$1425bo\$546b3o2003b3o\$548bo2005bo\$547bo2005bo876b2o\$3430bobo\$3430bo111\$1441b3o\$1443bo\$529b2o911bo102b2o988b2o\$529bobo1013bobo987bobo\$529bo1015bo989bo\$426b3o2003b3o1013b3o\$428bo2005bo1015bo\$427bo2005bo1015bo100b2o\$3550bobo\$3550bo111\$1321b3o\$1323bo\$649b2o671bo342b2o988b2o\$649bobo1013bobo987bobo\$649bo1015bo989bo\$306b3o2003b3o1013b3o\$308bo2005bo1015bo\$307bo2005bo1015bo340b2o\$3670bobo\$3670bo67\$1245b2o\$1245b2o2\$726b2o1014b2o988b2o\$726b2o1014b2o988b2o2\$229b2o2004b2o1014b2o\$229b2o2004b2o1014b2o2\$3748b2o\$3748b2o31\$1286b2o\$1286bobo\$1286bo\$685b3o513b3o497b3o987b3o\$687bo515bo499bo989bo\$269b2o415bo82b2o431bo499bo82b2o488b2o415bo82b2o514b2o\$269bobo497bobo1013bobo487bobo497bobo513bobo\$269bo499bo1015bo489bo499bo515bo\$186b3o2003b3o1013b3o497b3o\$188bo2005bo1015bo499bo\$187bo2005bo1015bo499bo80b2o\$3790bobo\$3790bo48\$1346b2o\$1346bobo\$1346bo\$625b3o513b3o497b3o987b3o\$627bo515bo499bo989bo\$329b2o295bo202b2o311bo499bo202b2o488b2o295bo202b2o514b2o\$329bobo497bobo1013bobo487bobo497bobo513bobo\$329bo499bo1015bo489bo499bo515bo\$126b3o2003b3o1013b3o497b3o\$128bo2005bo1015bo499bo\$127bo2005bo1015bo499bo200b2o\$3850bobo\$3850bo16\$1352b3o\$1354bo\$618b2o514b2o217bo22b2o256b2o988b2o\$618bobo513bobo239bobo255bobo987bobo\$618bo515bo241bo257bo989bo\$337b3o255b3o239b3o271b3o497b3o239b3o487b3o255b3o239b3o513b3o\$339bo257bo241bo273bo499bo241bo489bo257bo241bo515bo\$117b2o219bo20b2o235bo241bo20b2o251bo499bo241bo20b2o246b2o219bo20b2o235bo241bo20b2o272b2o219bo20b2o256b2o\$117bobo239bobo497bobo1013bobo245bobo239bobo497bobo271bobo239bobo255bobo\$117bo241bo499bo1015bo247bo241bo499bo273bo241bo257bo\$96b3o2003b3o1013b3o497b3o239b3o\$98bo2005bo1015bo499bo241bo\$97bo2005bo1015bo499bo241bo18b2o\$3880bobo\$3880bo16\$1322b3o\$1324bo\$648b2o514b2o157bo82b2o256b2o988b2o\$648bobo513bobo239bobo255bobo987bobo\$648bo515bo241bo257bo989bo\$307b3o255b3o239b3o271b3o497b3o239b3o487b3o255b3o239b3o513b3o\$309bo257bo241bo273bo499bo241bo489bo257bo241bo515bo\$147b2o159bo80b2o175bo241bo80b2o191bo499bo241bo80b2o246b2o159bo80b2o175bo241bo80b2o272b2o159bo80b2o256b2o\$147bobo239bobo497bobo1013bobo245bobo239bobo497bobo271bobo239bobo255bobo\$147bo241bo499bo1015bo247bo241bo499bo273bo241bo257bo\$66b3o2003b3o1013b3o497b3o239b3o\$68bo2005bo1015bo499bo241bo\$67bo2005bo1015bo499bo241bo78b2o\$1309b2o2599bobo\$1309b2o2599bo2\$662b2o514b2o240b2o256b2o988b2o\$662b2o514b2o240b2o256b2o988b2o2\$293b2o256b2o240b2o272b2o498b2o240b2o488b2o256b2o240b2o514b2o\$293b2o256b2o240b2o272b2o498b2o240b2o488b2o256b2o240b2o514b2o\$1324b2o\$162b2o240b2o498b2o419bo594b2o246b2o240b2o498b2o272b2o240b2o256b2o\$162b2o240b2o498b2o386b2o31bobo5bobo584b2o246b2o240b2o498b2o272b2o240b2o256b2o\$647b2o514b2o127bo33b2o5bo2bo68b2o256b2o988b2o\$51b2o594bo515bo119b2o5bobo43b2o8bo58bo257bo393b2o594bo419b2o498b2o240b2o\$51b2o583bobo6bobo31b2o471bobo6bobo31b2o86b2o5b2o42bo3b2o5bobo46bobo6bobo31b2o213bobo6bobo31b2o360b2o583bobo6bobo31b2o386b2o498b2o240b2o\$308b2o256b2o66bo3bo6b2o33bo127b2o272b2o66bo3bo6b2o33bo72bo10b2o41b2o11b2o6bob2o44bo3bo6b2o33bo143b2o66bo3bo6b2o33bo127b2o488b2o256b2o66bo3bo6b2o33bo127b2o514b2o\$309bo257bo58bo7bo45bobo5bobo118bo273bo58bo7bo45bobo5bobo62bobo7b3o41bobo7bo2bo6b2ob2o10b2o24bo7bo45bobo5bobo134bo58bo7bo45bobo5bobo118bo489bo257bo58bo7bo45bobo5bobo118bo515bo594b2o\$276b2o31bobo8bo213b2o31bobo8bo46b4o4bo4bo42b2o5bo2bo84b2o31bobo8bo229b2o31bobo8bo46b4o4bo4bo42b2o5bo2bo64b2o6b2o41bo9bobo8bob2o10b2o23b4o4bo4bo42b2o5bo2bo100b2o31bobo8bo46b4o4bo4bo42b2o5bo2bo84b2o31bobo8bo445b2o31bobo8bo213b2o31bobo8bo46b4o4bo4bo42b2o5bo2bo84b2o31bobo8bo471b2o31bobo8bo583b2o\$147b2o127bo33b2o8bobo66b2o143bo33b2o8bobo43b2obobo4bo13b3o40b2o8bo74bo33b2o8bobo66b2o159bo33b2o8bobo43b2obobo4bo13b3o40b2o8bo40b2o12b2o9b2o7b3o50bobo34b2obobo4bo13b3o40b2o8bo90bo33b2o8bobo43b2obobo4bo13b3o40b2o8bo74bo33b2o8bobo66b2o246b2o127bo33b2o8bobo66b2o143bo33b2o8bobo43b2obobo4bo13b3o40b2o8bo74bo33b2o8bobo66b2o272b2o127bo33b2o8bobo66b2o256b2o\$147bo117bobo6bobo44bobo7bo57bo133bobo6bobo44bobo7bo23b2o8b3obo2bo3bo3bo11bo38bo3b2o5bobo62bobo6bobo44bobo7bo57bo149bobo6bobo44bobo7bo23b2o8b3obo2bo3bo3bo11bo38bo3b2o5bobo39b2o12b2o9b2o9bo41bo9bo24b2o8b3obo2bo3bo3bo11bo38bo3b2o5bobo78bobo6bobo44bobo7bo23b2o8b3obo2bo3bo3bo11bo38bo3b2o5bobo62bobo6bobo44bobo7bo57bo247bo117bobo6bobo44bobo7bo57bo133bobo6bobo44bobo7bo23b2o8b3obo2bo3bo3bo11bo38bo3b2o5bobo62bobo6bobo44bobo7bo57bo273bo117bobo6bobo44bobo7bo57bo257bo\$135bo9bobo31b2o82bo3bo6b2o30b2o13bo2bo6b2o44bo9bobo31b2o98bo3bo6b2o30b2o13bo2bo6b2o22b2o9b2obobo6bobo10bo28b2o11b2o6bob2o60bo3bo6b2o30b2o13bo2bo6b2o44bo9bobo31b2o114bo3bo6b2o30b2o13bo2bo6b2o22b2o9b2obobo6bobo10bo28b2o11b2o6bob2o50bobo21bo41bo35b2o9b2obobo6bobo10bo28b2o11b2o6bob2o76bo3bo6b2o30b2o13bo2bo6b2o22b2o9b2obobo6bobo10bo28b2o11b2o6bob2o60bo3bo6b2o30b2o13bo2bo6b2o44bo9bobo31b2o202bo9bobo31b2o82bo3bo6b2o30b2o13bo2bo6b2o44bo9bobo31b2o98bo3bo6b2o30b2o13bo2bo6b2o22b2o9b2obobo6bobo10bo28b2o11b2o6bob2o60bo3bo6b2o30b2o13bo2bo6b2o44bo9bobo31b2o228bo9bobo31b2o82bo3bo6b2o30b2o13bo2bo6b2o44bo9bobo31b2o212bo9bobo31b2o\$66b2o66bobo8b2o33bo74bo7bo42bobo12bobo2b2o4b2o42bobo8b2o33bo90bo7bo42bobo12bobo2b2o4b2o33b4o49bobo7bo2bo6b2ob2o10b2o40bo7bo42bobo12bobo2b2o4b2o42bobo8b2o33bo106bo7bo42bobo12bobo2b2o4b2o33b4o49bobo7bo2bo6b2ob2o10b2o38bo11bo53b3o45b4o49bobo7bo2bo6b2ob2o10b2o56bo7bo42bobo12bobo2b2o4b2o33b4o49bobo7bo2bo6b2ob2o10b2o40bo7bo42bobo12bobo2b2o4b2o42bobo8b2o33bo133b2o66bobo8b2o33bo74bo7bo42bobo12bobo2b2o4b2o42bobo8b2o33bo90bo7bo42bobo12bobo2b2o4b2o33b4o49bobo7bo2bo6b2ob2o10b2o40bo7bo42bobo12bobo2b2o4b2o42bobo8b2o33bo159b2o66bobo8b2o33bo74bo7bo42bobo12bobo2b2o4b2o42bobo8b2o33bo143b2o66bobo8b2o33bo127b2o\$67bo56b2o6b2o3bo42bobo8bo62b4o4bo4bo38bo13bobo3b2o4b3o7b2o22b2o6b2o3bo42bobo8bo78b4o4bo4bo38bo13bobo3b2o4b3o7b2o24bo51bo9bobo8bob2o10b2o39b4o4bo4bo38bo13bobo3b2o4b3o7b2o22b2o6b2o3bo42bobo8bo94b4o4bo4bo38bo13bobo3b2o4b3o7b2o24bo51bo9bobo8bob2o10b2o48bobo102bo51bo9bobo8bob2o10b2o55b4o4bo4bo38bo13bobo3b2o4b3o7b2o24bo51bo9bobo8bob2o10b2o39b4o4bo4bo38bo13bobo3b2o4b3o7b2o22b2o6b2o3bo42bobo8bo123bo56b2o6b2o3bo42bobo8bo62b4o4bo4bo38bo13bobo3b2o4b3o7b2o22b2o6b2o3bo42bobo8bo78b4o4bo4bo38bo13bobo3b2o4b3o7b2o24bo51bo9bobo8bob2o10b2o39b4o4bo4bo38bo13bobo3b2o4b3o7b2o22b2o6b2o3bo42bobo8bo149bo56b2o6b2o3bo42bobo8bo62b4o4bo4bo38bo13bobo3b2o4b3o7b2o22b2o6b2o3bo42bobo8bo133bo56b2o6b2o3bo42bobo8bo117bo\$34b2o31bobo8b2o43bobo4b2obo3bo11b3o29b2o8bobo59b2obobo4bo13b3o40bo5b2o4b2o8b2o21bobo4b2obo3bo11b3o29b2o8bobo75b2obobo4bo13b3o40bo5b2o4b2o8b2o35bo62bobo50b2obobo4bo13b3o40bo5b2o4b2o8b2o21bobo4b2obo3bo11b3o29b2o8bobo91b2obobo4bo13b3o40bo5b2o4b2o8b2o35bo62bobo61b2o113bo62bobo66b2obobo4bo13b3o40bo5b2o4b2o8b2o35bo62bobo50b2obobo4bo13b3o40bo5b2o4b2o8b2o21bobo4b2obo3bo11b3o29b2o8bobo88b2o31bobo8b2o43bobo4b2obo3bo11b3o29b2o8bobo59b2obobo4bo13b3o40bo5b2o4b2o8b2o21bobo4b2obo3bo11b3o29b2o8bobo75b2obobo4bo13b3o40bo5b2o4b2o8b2o35bo62bobo50b2obobo4bo13b3o40bo5b2o4b2o8b2o21bobo4b2obo3bo11b3o29b2o8bobo114b2o31bobo8b2o43bobo4b2obo3bo11b3o29b2o8bobo59b2obobo4bo13b3o40bo5b2o4b2o8b2o21bobo4b2obo3bo11b3o29b2o8bobo98b2o31bobo8b2o43bobo4b2obo3bo11b3o29b2o8bobo82b2o31bobo8b2o\$34bo33b2o7bo44b3o4b3obo3bo13bo40bobo7bo39b2o8b3obo2bo3bo3bo11bo51b2o31b3o4b3obo3bo13bo40bobo7bo55b2o8b3obo2bo3bo3bo11bo51b2o44bobo53bo9bo40b2o8b3obo2bo3bo3bo11bo51b2o31b3o4b3obo3bo13bo40bobo7bo71b2o8b3obo2bo3bo3bo11bo51b2o44bobo53bo9bo113b2o60bobo53bo9bo56b2o8b3obo2bo3bo3bo11bo51b2o44bobo53bo9bo40b2o8b3obo2bo3bo3bo11bo51b2o31b3o4b3obo3bo13bo40bobo7bo79bo33b2o7bo44b3o4b3obo3bo13bo40bobo7bo39b2o8b3obo2bo3bo3bo11bo51b2o31b3o4b3obo3bo13bo40bobo7bo55b2o8b3obo2bo3bo3bo11bo51b2o44bobo53bo9bo40b2o8b3obo2bo3bo3bo11bo51b2o31b3o4b3obo3bo13bo40bobo7bo105bo33b2o7bo44b3o4b3obo3bo13bo40bobo7bo39b2o8b3obo2bo3bo3bo11bo51b2o31b3o4b3obo3bo13bo40bobo7bo89bo33b2o7bo44b3o4b3obo3bo13bo40bobo7bo73bo33b2o7bo69b2o\$22bo9bobo28b2o11bo12b2o22b2o6b3o4bo2b2obobo13bo26b2o13bo2bo6b2o38b2o9b2obobo6bobo10bo52bo23b2o6b3o4bo2b2obobo13bo26b2o13bo2bo6b2o54b2o9b2obobo6bobo10bo52bo46b2o52bo51b2o9b2obobo6bobo10bo52bo23b2o6b3o4bo2b2obobo13bo26b2o13bo2bo6b2o70b2o9b2obobo6bobo10bo52bo46b2o52bo124b2o61b2o52bo67b2o9b2obobo6bobo10bo52bo46b2o52bo51b2o9b2obobo6bobo10bo52bo23b2o6b3o4bo2b2obobo13bo26b2o13bo2bo6b2o66bo9bobo28b2o11bo12b2o22b2o6b3o4bo2b2obobo13bo26b2o13bo2bo6b2o38b2o9b2obobo6bobo10bo52bo23b2o6b3o4bo2b2obobo13bo26b2o13bo2bo6b2o54b2o9b2obobo6bobo10bo52bo46b2o52bo51b2o9b2obobo6bobo10bo52bo23b2o6b3o4bo2b2obobo13bo26b2o13bo2bo6b2o92bo9bobo28b2o11bo12b2o22b2o6b3o4bo2b2obobo13bo26b2o13bo2bo6b2o38b2o9b2obobo6bobo10bo52bo23b2o6b3o4bo2b2obobo13bo26b2o13bo2bo6b2o76bo9bobo28b2o11bo12b2o22b2o6b3o4bo2b2obobo13bo26b2o13bo2bo6b2o60bo9bobo28b2o11bo12b2o56bo\$21bobo8b2o29bobo10bo7bo4b2o22b2o7b3o4b2o4bo41bobo12bobo2b2o4b2o49b4o61bo35b2o7b3o4b2o4bo41bobo12bobo2b2o4b2o65b4o61bo112b3o61b4o61bo35b2o7b3o4b2o4bo41bobo12bobo2b2o4b2o81b4o61bo112b3o76b2o161b3o77b4o61bo112b3o61b4o61bo35b2o7b3o4b2o4bo41bobo12bobo2b2o4b2o64bobo8b2o29bobo10bo7bo4b2o22b2o7b3o4b2o4bo41bobo12bobo2b2o4b2o49b4o61bo35b2o7b3o4b2o4bo41bobo12bobo2b2o4b2o65b4o61bo112b3o61b4o61bo35b2o7b3o4b2o4bo41bobo12bobo2b2o4b2o90bobo8b2o29bobo10bo7bo4b2o22b2o7b3o4b2o4bo41bobo12bobo2b2o4b2o49b4o61bo35b2o7b3o4b2o4bo41bobo12bobo2b2o4b2o74bobo8b2o29bobo10bo7bo4b2o22b2o7b3o4b2o4bo41bobo12bobo2b2o4b2o58bobo8b2o29bobo10bo7bo4b2o45b2o7bobo31b2o\$11b2o6b2o3bo38bo12bo8b2o5b2o29bobo51bo13bobo3b2o4b3o7b2o40bo62bo46bobo51bo13bobo3b2o4b3o7b2o56bo62bo63b2o113bo62bo46bobo51bo13bobo3b2o4b3o7b2o72bo62bo63b2o127b2o57b2o52b2o129bo62bo63b2o113bo62bo46bobo51bo13bobo3b2o4b3o7b2o44b2o6b2o3bo38bo12bo8b2o5b2o29bobo51bo13bobo3b2o4b3o7b2o40bo62bo46bobo51bo13bobo3b2o4b3o7b2o56bo62bo63b2o113bo62bo46bobo51bo13bobo3b2o4b3o7b2o70b2o6b2o3bo38bo12bo8b2o5b2o29bobo51bo13bobo3b2o4b3o7b2o40bo62bo46bobo51bo13bobo3b2o4b3o7b2o54b2o6b2o3bo38bo12bo8b2o5b2o29bobo51bo13bobo3b2o4b3o7b2o38b2o6b2o3bo38bo12bo8b2o5b2o42bobo6b2o33bo\$10bobo4b2obo3bo11b3o38bo4b2o2bo5b3o5b2o22b2o65bo5b2o4b2o8b2o51bo51b3o45b2o65bo5b2o4b2o8b2o67bo51b3o61b2o124bo51b3o45b2o65bo5b2o4b2o8b2o83bo51b3o61b2o181bo4b2o52b2o140bo51b3o61b2o124bo51b3o45b2o65bo5b2o4b2o8b2o43bobo4b2obo3bo11b3o38bo4b2o2bo5b3o5b2o22b2o65bo5b2o4b2o8b2o51bo51b3o45b2o65bo5b2o4b2o8b2o67bo51b3o61b2o124bo51b3o45b2o65bo5b2o4b2o8b2o69bobo4b2obo3bo11b3o38bo4b2o2bo5b3o5b2o22b2o65bo5b2o4b2o8b2o51bo51b3o45b2o65bo5b2o4b2o8b2o53bobo4b2obo3bo11b3o38bo4b2o2bo5b3o5b2o22b2o65bo5b2o4b2o8b2o37bobo4b2obo3bo11b3o38bo4b2o2bo5b3o5b2o21bobo13bo10b3o27bobo8b2o\$9b3o4b3obo3bo13bo39b2ob5o6b2o6b2o100b2o60bobo177b2o76bobo161b2o76bobo177b2o92bobo161b2o68b2o59b2ob5o6b2o6b2o87b2o92bobo161b2o76bobo177b2o53b3o4b3obo3bo13bo39b2ob5o6b2o6b2o100b2o60bobo177b2o76bobo161b2o76bobo177b2o79b3o4b3obo3bo13bo39b2ob5o6b2o6b2o100b2o60bobo177b2o63b3o4b3obo3bo13bo39b2ob5o6b2o6b2o100b2o47b3o4b3obo3bo13bo39b2ob5o6b2o6b2o20bo2bo2b2o6bo2bo12bo28b2o7bo\$2o6b3o4bo2b2obobo13bo46bo4b2o47bo63bo62b2o48b2o63bo63bo78b2o48b2o51bobo57b2o77b2o48b2o63bo63bo94b2o48b2o51bobo57b2o67bobo58bo4b2o2bo5b3o5b2o27bobo57b2o93b2o48b2o51bobo57b2o77b2o48b2o63bo63bo45b2o6b3o4bo2b2obobo13bo46bo4b2o47bo63bo62b2o48b2o63bo63bo78b2o48b2o51bobo57b2o77b2o48b2o63bo63bo71b2o6b3o4bo2b2obobo13bo46bo4b2o47bo63bo62b2o48b2o63bo63bo55b2o6b3o4bo2b2obobo13bo46bo4b2o47bo63bo39b2o6b3o4bo2b2obobo13bo46bo4b2o30b2o5bobo8bo11bo24b2o11bo12b2o\$2o7b3o4b2o4bo66b2o45bobo51bo124b2o61bobo51bo140b2o50bo2bo3b2o181b2o61bobo51bo156b2o50bo2bo3b2o111b2o7b3o4b2o4bo37b2o8bo8b2o5b2o34bo2bo3b2o197b2o50bo2bo3b2o181b2o61bobo51bo57b2o7b3o4b2o4bo66b2o45bobo51bo124b2o61bobo51bo140b2o50bo2bo3b2o181b2o61bobo51bo83b2o7b3o4b2o4bo66b2o45bobo51bo124b2o61bobo51bo67b2o7b3o4b2o4bo66b2o45bobo51bo51b2o7b3o4b2o4bo66b2o22b2o4b2o3bo3bo3bo3bobo37bobo10bo7bo4b2o\$10bobo124b2o50bo79b2o108b2o50bo95b2o87b2o6b2o5b3ob2o2b2o58b2o68b2o108b2o50bo111b2o87b2o6b2o5b3ob2o2b2o58b2o44b2o6b3o4bo2b2obobo36b2o8bo7bo4b2o28b2o6b2o5b3ob2o2b2o58b2o84b2o87b2o6b2o5b3ob2o2b2o58b2o68b2o108b2o50bo68bobo124b2o50bo79b2o108b2o50bo95b2o87b2o6b2o5b3ob2o2b2o58b2o68b2o108b2o50bo94bobo124b2o50bo79b2o108b2o50bo78bobo124b2o50bo62bobo100b2o6b2o5b3ob2o2b2o38bo12bo8b2o5b2o\$11b2o63bo63b2o47b3o77b2o58bobo50b2o47b3o93b2o58bobo26b2o4b2o3bo3bo3bo3bobo52bo4b2o68b2o58bobo50b2o47b3o109b2o58bobo26b2o4b2o3bo3bo3bo3bobo52bo4b2o53b3o4b3obo3bo9b2o34bo12b2o28b2o4b2o3bo3bo3bo3bobo52bo4b2o84b2o58bobo26b2o4b2o3bo3bo3bo3bobo52bo4b2o68b2o58bobo50b2o47b3o67b2o63bo63b2o47b3o77b2o58bobo50b2o47b3o93b2o58bobo26b2o4b2o3bo3bo3bo3bobo52bo4b2o68b2o58bobo50b2o47b3o93b2o63bo63b2o47b3o77b2o58bobo50b2o47b3o77b2o63bo63b2o47b3o61b2o63bo45bo2bo3b2o59bo4b2o2bo5b3o5b2o\$75bo64b2o179b3o5bo3bo48b2o195b3o5bo3bo32b2o5bobo8bo7b2o36b2ob5o6b2o6b2o109b3o5bo3bo48b2o211b3o5bo3bo32b2o5bobo8bo7b2o36b2ob5o6b2o6b2o43bobo4b2obo3bo9b2o35bo49b2o5bobo8bo7b2o36b2ob5o6b2o6b2o125b3o5bo3bo32b2o5bobo8bo7b2o36b2ob5o6b2o6b2o109b3o5bo3bo48b2o181bo64b2o179b3o5bo3bo48b2o195b3o5bo3bo32b2o5bobo8bo7b2o36b2ob5o6b2o6b2o109b3o5bo3bo48b2o207bo64b2o179b3o5bo3bo48b2o191bo64b2o175bo47bobo65b2ob5o6b2o6b2o\$25bo51bo108b2o67bobo58b2o2bo2bobo7bo5b2o87b2o83bobo58b2o2bo2bobo7bo5b2o26bo2bo2b2o6bo2bo7b2o35bo4b2o2bo5b3o5b2o43bobo58b2o2bo2bobo7bo5b2o87b2o99bobo58b2o2bo2bobo7bo5b2o26bo2bo2b2o6bo2bo7b2o35bo4b2o2bo5b3o5b2o44b2o6b2o3bo47b2o48bo2bo2b2o6bo2bo7b2o35bo4b2o2bo5b3o5b2o59bobo58b2o2bo2bobo7bo5b2o26bo2bo2b2o6bo2bo7b2o35bo4b2o2bo5b3o5b2o43bobo58b2o2bo2bobo7bo5b2o87b2o85bo51bo108b2o67bobo58b2o2bo2bobo7bo5b2o87b2o83bobo58b2o2bo2bobo7bo5b2o26bo2bo2b2o6bo2bo7b2o35bo4b2o2bo5b3o5b2o43bobo58b2o2bo2bobo7bo5b2o87b2o111bo51bo108b2o67bobo58b2o2bo2bobo7bo5b2o87b2o95bo51bo108b2o79bo51bo119bo4b2o\$23bobo47bo51bo8b2o50b2o66bo2bo3b2o51bo2bo2b2o7bo4bo4b2o26bo8b2o50b2o82bo2bo3b2o51bo2bo2b2o7bo4bo4b2o27bobo13bo33b2o8bo8b2o5b2o50bo2bo3b2o51bo2bo2b2o7bo4bo4b2o26bo8b2o50b2o98bo2bo3b2o51bo2bo2b2o7bo4bo4b2o27bobo13bo33b2o8bo8b2o5b2o62bobo99bobo13bo33b2o8bo8b2o5b2o66bo2bo3b2o51bo2bo2b2o7bo4bo4b2o27bobo13bo33b2o8bo8b2o5b2o50bo2bo3b2o51bo2bo2b2o7bo4bo4b2o26bo8b2o50b2o83bobo47bo51bo8b2o50b2o66bo2bo3b2o51bo2bo2b2o7bo4bo4b2o26bo8b2o50b2o82bo2bo3b2o51bo2bo2b2o7bo4bo4b2o27bobo13bo33b2o8bo8b2o5b2o50bo2bo3b2o51bo2bo2b2o7bo4bo4b2o26bo8b2o50b2o109bobo47bo51bo8b2o50b2o66bo2bo3b2o51bo2bo2b2o7bo4bo4b2o26bo8b2o50b2o93bobo47bo51bo8b2o50b2o77bobo47bo128b2o\$24b2o47bobo47bobo6bo2bo109b2o6b2o5b3ob2o2b2o35b2o6bo19bo31bobo6bo2bo125b2o6b2o5b3ob2o2b2o35b2o6bo19bo47bobo34b2o8bo7bo4b2o44b2o6b2o5b3ob2o2b2o35b2o6bo19bo31bobo6bo2bo141b2o6b2o5b3ob2o2b2o35b2o6bo19bo47bobo34b2o8bo7bo4b2o66bo113bobo34b2o8bo7bo4b2o60b2o6b2o5b3ob2o2b2o35b2o6bo19bo47bobo34b2o8bo7bo4b2o44b2o6b2o5b3ob2o2b2o35b2o6bo19bo31bobo6bo2bo136b2o47bobo47bobo6bo2bo109b2o6b2o5b3ob2o2b2o35b2o6bo19bo31bobo6bo2bo125b2o6b2o5b3ob2o2b2o35b2o6bo19bo47bobo34b2o8bo7bo4b2o44b2o6b2o5b3ob2o2b2o35b2o6bo19bo31bobo6bo2bo162b2o47bobo47bobo6bo2bo109b2o6b2o5b3ob2o2b2o35b2o6bo19bo31bobo6bo2bo146b2o47bobo47bobo6bo2bo130b2o47bobo\$27b2o87b2o4bobo7bo3bo2b2o59bobo42b2o4b2o3bo3bo3bo3bobo34b2o6bo10b3o2bo3bo24b2o4bobo7bo3bo2b2o59bobo58b2o4b2o3bo3bo3bo3bobo34b2o6bo10b3o2bo3bo47b2o45bo12b2o44b2o4b2o3bo3bo3bo3bobo34b2o6bo10b3o2bo3bo24b2o4bobo7bo3bo2b2o59bobo74b2o4b2o3bo3bo3bo3bobo34b2o6bo10b3o2bo3bo47b2o45bo12b2o180b2o45bo12b2o60b2o4b2o3bo3bo3bo3bobo34b2o6bo10b3o2bo3bo47b2o45bo12b2o44b2o4b2o3bo3bo3bo3bobo34b2o6bo10b3o2bo3bo24b2o4bobo7bo3bo2b2o59bobo72b2o87b2o4bobo7bo3bo2b2o59bobo42b2o4b2o3bo3bo3bo3bobo34b2o6bo10b3o2bo3bo24b2o4bobo7bo3bo2b2o59bobo58b2o4b2o3bo3bo3bo3bobo34b2o6bo10b3o2bo3bo47b2o45bo12b2o44b2o4b2o3bo3bo3bo3bobo34b2o6bo10b3o2bo3bo24b2o4bobo7bo3bo2b2o59bobo98b2o87b2o4bobo7bo3bo2b2o59bobo42b2o4b2o3bo3bo3bo3bobo34b2o6bo10b3o2bo3bo24b2o4bobo7bo3bo2b2o59bobo82b2o87b2o4bobo7bo3bo2b2o59bobo66b2o160bo\$27b2o49bo2bo8bo25b2o3bo2bo7bo2b2o2b3o50b3o5bo3bo48b2o5bobo8bo7b2o32bo15bobo26b2o3bo2bo7bo2b2o2b3o50b3o5bo3bo64b2o5bobo8bo7b2o32bo15bobo97bo65b2o5bobo8bo7b2o32bo15bobo26b2o3bo2bo7bo2b2o2b3o50b3o5bo3bo80b2o5bobo8bo7b2o32bo15bobo97bo241bo81b2o5bobo8bo7b2o32bo15bobo97bo65b2o5bobo8bo7b2o32bo15bobo26b2o3bo2bo7bo2b2o2b3o50b3o5bo3bo70b2o49bo2bo8bo25b2o3bo2bo7bo2b2o2b3o50b3o5bo3bo48b2o5bobo8bo7b2o32bo15bobo26b2o3bo2bo7bo2b2o2b3o50b3o5bo3bo64b2o5bobo8bo7b2o32bo15bobo97bo65b2o5bobo8bo7b2o32bo15bobo26b2o3bo2bo7bo2b2o2b3o50b3o5bo3bo96b2o49bo2bo8bo25b2o3bo2bo7bo2b2o2b3o50b3o5bo3bo48b2o5bobo8bo7b2o32bo15bobo26b2o3bo2bo7bo2b2o2b3o50b3o5bo3bo80b2o49bo2bo8bo25b2o3bo2bo7bo2b2o2b3o50b3o5bo3bo64b2o49bo2bo8bo97bo\$78bo10bobo30bobo16b2obo5b2o35b2o2bo2bobo7bo5b2o42bo2bo2b2o6bo2bo7b2o33bo2bo46bobo16b2obo5b2o35b2o2bo2bobo7bo5b2o58bo2bo2b2o6bo2bo7b2o33bo2bo112b2o64bo2bo2b2o6bo2bo7b2o33bo2bo46bobo16b2obo5b2o35b2o2bo2bobo7bo5b2o74bo2bo2b2o6bo2bo7b2o33bo2bo112b2o240b2o80bo2bo2b2o6bo2bo7b2o33bo2bo112b2o64bo2bo2b2o6bo2bo7b2o33bo2bo46bobo16b2obo5b2o35b2o2bo2bobo7bo5b2o114bo10bobo30bobo16b2obo5b2o35b2o2bo2bobo7bo5b2o42bo2bo2b2o6bo2bo7b2o33bo2bo46bobo16b2obo5b2o35b2o2bo2bobo7bo5b2o58bo2bo2b2o6bo2bo7b2o33bo2bo112b2o64bo2bo2b2o6bo2bo7b2o33bo2bo46bobo16b2obo5b2o35b2o2bo2bobo7bo5b2o140bo10bobo30bobo16b2obo5b2o35b2o2bo2bobo7bo5b2o42bo2bo2b2o6bo2bo7b2o33bo2bo46bobo16b2obo5b2o35b2o2bo2bobo7bo5b2o124bo10bobo30bobo16b2obo5b2o35b2o2bo2bobo7bo5b2o108bo10bobo98bo\$12bo8b2o51bo2bo3b2o5bo3b2o3b2o24bobo4b3o8bo2bo5b2o33bo2bo2b2o7bo4bo4b2o43bobo13bo44b2o47bobo4b3o8bo2bo5b2o33bo2bo2b2o7bo4bo4b2o59bobo13bo44b2o179bobo13bo44b2o47bobo4b3o8bo2bo5b2o33bo2bo2b2o7bo4bo4b2o75bobo13bo44b2o437bobo13bo44b2o179bobo13bo44b2o47bobo4b3o8bo2bo5b2o33bo2bo2b2o7bo4bo4b2o48bo8b2o51bo2bo3b2o5bo3b2o3b2o24bobo4b3o8bo2bo5b2o33bo2bo2b2o7bo4bo4b2o43bobo13bo44b2o47bobo4b3o8bo2bo5b2o33bo2bo2b2o7bo4bo4b2o59bobo13bo44b2o179bobo13bo44b2o47bobo4b3o8bo2bo5b2o33bo2bo2b2o7bo4bo4b2o74bo8b2o51bo2bo3b2o5bo3b2o3b2o24bobo4b3o8bo2bo5b2o33bo2bo2b2o7bo4bo4b2o43bobo13bo44b2o47bobo4b3o8bo2bo5b2o33bo2bo2b2o7bo4bo4b2o58bo8b2o51bo2bo3b2o5bo3b2o3b2o24bobo4b3o8bo2bo5b2o33bo2bo2b2o7bo4bo4b2o42bo8b2o51bo2bo3b2o5bo3b2o3b2o87bo\$10bobo6bo2bo48b4o3b2obobo4bo3b2o3b2o26bo15b2obo31b2o6bo19bo63bobo96bo15b2obo31b2o6bo19bo79bobo239bobo96bo15b2obo31b2o6bo19bo95bobo497bobo239bobo96bo15b2obo31b2o6bo19bo53bobo6bo2bo48b4o3b2obobo4bo3b2o3b2o26bo15b2obo31b2o6bo19bo63bobo96bo15b2obo31b2o6bo19bo79bobo239bobo96bo15b2obo31b2o6bo19bo79bobo6bo2bo48b4o3b2obobo4bo3b2o3b2o26bo15b2obo31b2o6bo19bo63bobo96bo15b2obo31b2o6bo19bo63bobo6bo2bo48b4o3b2obobo4bo3b2o3b2o26bo15b2obo31b2o6bo19bo47bobo6bo2bo48b4o3b2obobo4bo3b2o3b2o25b2o60bobo\$3b2o4bobo7bo3bo2b2o35b2o5b4o14bo3b2o45b3o34b2o6bo10b3o2bo3bo63b2o111b3o34b2o6bo10b3o2bo3bo79b2o240b2o111b3o34b2o6bo10b3o2bo3bo95b2o498b2o240b2o111b3o34b2o6bo10b3o2bo3bo46b2o4bobo7bo3bo2b2o35b2o5b4o14bo3b2o45b3o34b2o6bo10b3o2bo3bo63b2o111b3o34b2o6bo10b3o2bo3bo79b2o240b2o111b3o34b2o6bo10b3o2bo3bo72b2o4bobo7bo3bo2b2o35b2o5b4o14bo3b2o45b3o34b2o6bo10b3o2bo3bo63b2o111b3o34b2o6bo10b3o2bo3bo56b2o4bobo7bo3bo2b2o35b2o5b4o14bo3b2o45b3o34b2o6bo10b3o2bo3bo40b2o4bobo7bo3bo2b2o35b2o5b4o14bo3b2o28bo3bo5bo2b3o\$3b2o3bo2bo7bo2b2o2b3o34b2o5bo2bo8b2o5bobo47b2o43bo15bobo178b2o43bo15bobo436b2o43bo15bobo952b2o43bo15bobo48b2o3bo2bo7bo2b2o2b3o34b2o5bo2bo8b2o5bobo47b2o43bo15bobo178b2o43bo15bobo436b2o43bo15bobo74b2o3bo2bo7bo2b2o2b3o34b2o5bo2bo8b2o5bobo47b2o43bo15bobo178b2o43bo15bobo58b2o3bo2bo7bo2b2o2b3o34b2o5bo2bo8b2o5bobo47b2o43bo15bobo42b2o3bo2bo7bo2b2o2b3o34b2o5bo2bo8b2o5bobo24b2o3bo5bo9bo3bo49bo2bo8bo\$9bobo16b2obo5b2o31b4o16bo94bo2bo238bo2bo496bo2bo1012bo2bo68bobo16b2obo5b2o31b4o16bo94bo2bo238bo2bo496bo2bo94bobo16b2obo5b2o31b4o16bo94bo2bo238bo2bo78bobo16b2obo5b2o31b4o16bo94bo2bo62bobo16b2obo5b2o31b4o16bo25b2o2b2obo3bo8bo4bobo47bo10bobo\$10bobo4b3o8bo2bo5b2o32b4o112b2o240b2o498b2o1014b2o69bobo4b3o8bo2bo5b2o32b4o112b2o240b2o498b2o95bobo4b3o8bo2bo5b2o32b4o112b2o240b2o79bobo4b3o8bo2bo5b2o32b4o112b2o63bobo4b3o8bo2bo5b2o32b4o46bo5bo16b2o4b2o35bo2bo3b2o5bo3b2o3b2o\$12bo15b2obo42bo1943bo15b2obo42bo953bo15b2obo42bo437bo15b2obo42bo179bo15b2obo42bo47bo3bo17b2o4b2o32b4o3b2obobo4bo3b2o3b2o\$26b3o2003b3o1013b3o497b3o239b3o95b2o18b2o30b2o5b4o14bo3b2o\$26b2o2004b2o1014b2o498b2o240b2o113bobo32b2o5bo2bo8b2o5bobo\$3905bo41b4o16bo\$3948b4o\$3951bo!`

Although as glider gun it's not so efficient, it's an interesting fact that this pattern actually has the property of fractal and it's a standard period multiplier.

I think that fractal seeking in GOL is dead end, but if you find it somewhere it could be cool.

Some other CA rules have fractals built in, as Sierpinski triangle can be built in many rules. Just B3/S23 is not too "fractal friendly".

simsim314

Posts: 1685
Joined: February 10th, 2014, 1:27 pm

### Re: Interesting Fractal Pattern

simsim314 wrote:I think that fractal seeking in GOL is dead end, but if you find it somewhere it could be cool.

It's (arguably) easier than you think. One can consider a growth pattern of a parity-rule replicator a fractal.
Ivan Fomichev

codeholic
Moderator

Posts: 1141
Joined: September 13th, 2011, 8:23 am
Location: Hamburg, Germany

### Re: Interesting Fractal Pattern

codeholic wrote: One can consider a growth pattern of a parity-rule replicator a fractal.

Fractals can be built in GOL (like the Sierpinski glider gun). They don't have crucial role, or occur naturally like in other CA rules.

simsim314

Posts: 1685
Joined: February 10th, 2014, 1:27 pm

### Re: Interesting Fractal Pattern

Well, your Sierpinski glider gun is not a fractal in the sense that a parity-rule replicator would be, because it's not infinite.
Ivan Fomichev

codeholic
Moderator

Posts: 1141
Joined: September 13th, 2011, 8:23 am
Location: Hamburg, Germany

### Re: Interesting Fractal Pattern

simsim314 wrote:While ago I've designed Serpinsky glider gun
`RLE`

Slight variation on that:
`x = 12034, y = 38, rule = B3/S2330b2o\$29bobo\$28b2obo\$17b2o10b2o33b2o92b2o186b2o374b2o750b2o1502b2o3006b2o6014b2o\$2o15bobo10bo33bobo91bobo185bobo373bobo749bobo1501bobo3005bobo6013bobo\$2o17bo44bob2o90bob2o184bob2o372bob2o748bob2o1500bob2o3004bob2o6012bob2o\$17b3o10bo34b2o10b2o45b2o33b2o10b2o45b2o92b2o33b2o10b2o45b2o186b2o92b2o33b2o10b2o45b2o374b2o186b2o92b2o33b2o10b2o45b2o750b2o374b2o186b2o92b2o33b2o10b2o45b2o1502b2o750b2o374b2o186b2o92b2o33b2o10b2o45b2o3006b2o1502b2o750b2o374b2o186b2o92b2o33b2o10b2o\$29b2o34bo10bobo44bobo33bo10bobo44bobo91bobo33bo10bobo44bobo185bobo91bobo33bo10bobo44bobo373bobo185bobo91bobo33bo10bobo44bobo749bobo373bobo185bobo91bobo33bo10bobo44bobo1501bobo749bobo373bobo185bobo91bobo33bo10bobo44bobo3005bobo1501bobo749bobo373bobo185bobo91bobo33bo10bobo15b2o\$28b2obo44bo45b2obo44bo45b2obo90b2obo44bo45b2obo184b2obo90b2obo44bo45b2obo372b2obo184b2obo90b2obo44bo45b2obo748b2obo372b2obo184b2obo90b2obo44bo45b2obo1500b2obo748b2obo372b2obo184b2obo90b2obo44bo45b2obo3004b2obo1500b2obo748b2obo372b2obo184b2obo90b2obo44bo17b2o\$29bobo33bo10b3o32b2o10b2o34bo10b3o32b2o10b2o33b2o45b2o10b2o34bo10b3o32b2o10b2o33b2o92b2o45b2o10b2o33b2o45b2o10b2o34bo10b3o32b2o10b2o33b2o92b2o186b2o45b2o10b2o33b2o92b2o45b2o10b2o33b2o45b2o10b2o34bo10b3o32b2o10b2o33b2o92b2o186b2o374b2o45b2o10b2o33b2o92b2o186b2o45b2o10b2o33b2o92b2o45b2o10b2o33b2o45b2o10b2o34bo10b3o32b2o10b2o33b2o92b2o186b2o374b2o750b2o45b2o10b2o33b2o92b2o186b2o374b2o45b2o10b2o33b2o92b2o186b2o45b2o10b2o33b2o92b2o45b2o10b2o33b2o45b2o10b2o34bo10b3o32b2o10b2o33b2o92b2o186b2o374b2o750b2o1502b2o45b2o10b2o33b2o92b2o186b2o374b2o750b2o45b2o10b2o33b2o92b2o186b2o374b2o45b2o10b2o33b2o92b2o186b2o45b2o10b2o33b2o92b2o45b2o10b2o33b2o45b2o10b2o34bo10b3o\$17b3o10b2o33b2o44bobo10bo34b2o44bobo10bo33bobo44bobo10bo34b2o44bobo10bo33bobo91bobo44bobo10bo33bobo44bobo10bo34b2o44bobo10bo33bobo91bobo185bobo44bobo10bo33bobo91bobo44bobo10bo33bobo44bobo10bo34b2o44bobo10bo33bobo91bobo185bobo373bobo44bobo10bo33bobo91bobo185bobo44bobo10bo33bobo91bobo44bobo10bo33bobo44bobo10bo34b2o44bobo10bo33bobo91bobo185bobo373bobo749bobo44bobo10bo33bobo91bobo185bobo373bobo44bobo10bo33bobo91bobo185bobo44bobo10bo33bobo91bobo44bobo10bo33bobo44bobo10bo34b2o44bobo10bo33bobo91bobo185bobo373bobo749bobo1501bobo44bobo10bo33bobo91bobo185bobo373bobo749bobo44bobo10bo33bobo91bobo185bobo373bobo44bobo10bo33bobo91bobo185bobo44bobo10bo33bobo91bobo44bobo10bo33bobo44bobo10bo34b2o\$2o17bo44bob2o45bo44bob2o45bo44bob2o45bo44bob2o45bo44bob2o90bob2o45bo44bob2o45bo44bob2o45bo44bob2o90bob2o184bob2o45bo44bob2o90bob2o45bo44bob2o45bo44bob2o45bo44bob2o90bob2o184bob2o372bob2o45bo44bob2o90bob2o184bob2o45bo44bob2o90bob2o45bo44bob2o45bo44bob2o45bo44bob2o90bob2o184bob2o372bob2o748bob2o45bo44bob2o90bob2o184bob2o372bob2o45bo44bob2o90bob2o184bob2o45bo44bob2o90bob2o45bo44bob2o45bo44bob2o45bo44bob2o90bob2o184bob2o372bob2o748bob2o1500bob2o45bo44bob2o90bob2o184bob2o372bob2o748bob2o45bo44bob2o90bob2o184bob2o372bob2o45bo44bob2o90bob2o184bob2o45bo44bob2o90bob2o45bo44bob2o45bo44bob2o\$2o15bobo44bobo44b3o10bo33bobo44b3o10bo34b2o10b2o32b3o10bo33bobo44b3o10bo34b2o10b2o45b2o33b2o10b2o32b3o10bo34b2o10b2o32b3o10bo33bobo44b3o10bo34b2o10b2o45b2o33b2o10b2o45b2o92b2o33b2o10b2o32b3o10bo34b2o10b2o45b2o33b2o10b2o32b3o10bo34b2o10b2o32b3o10bo33bobo44b3o10bo34b2o10b2o45b2o33b2o10b2o45b2o92b2o33b2o10b2o45b2o186b2o92b2o33b2o10b2o32b3o10bo34b2o10b2o45b2o33b2o10b2o45b2o92b2o33b2o10b2o32b3o10bo34b2o10b2o45b2o33b2o10b2o32b3o10bo34b2o10b2o32b3o10bo33bobo44b3o10bo34b2o10b2o45b2o33b2o10b2o45b2o92b2o33b2o10b2o45b2o186b2o92b2o33b2o10b2o45b2o374b2o186b2o92b2o33b2o10b2o32b3o10bo34b2o10b2o45b2o33b2o10b2o45b2o92b2o33b2o10b2o45b2o186b2o92b2o33b2o10b2o32b3o10bo34b2o10b2o45b2o33b2o10b2o45b2o92b2o33b2o10b2o32b3o10bo34b2o10b2o45b2o33b2o10b2o32b3o10bo34b2o10b2o32b3o10bo33bobo44b3o10bo34b2o10b2o45b2o33b2o10b2o45b2o92b2o33b2o10b2o45b2o186b2o92b2o33b2o10b2o45b2o374b2o186b2o92b2o33b2o10b2o45b2o750b2o374b2o186b2o92b2o33b2o10b2o32b3o10bo34b2o10b2o45b2o33b2o10b2o45b2o92b2o33b2o10b2o45b2o186b2o92b2o33b2o10b2o45b2o374b2o186b2o92b2o33b2o10b2o32b3o10bo34b2o10b2o45b2o33b2o10b2o45b2o92b2o33b2o10b2o45b2o186b2o92b2o33b2o10b2o32b3o10bo34b2o10b2o45b2o33b2o10b2o45b2o92b2o33b2o10b2o32b3o10bo34b2o10b2o45b2o33b2o10b2o32b3o10bo34b2o10b2o32b3o10bo33bobo\$17b2o45b2o10b3o44b2o33b2o10b3o44b2o34bo10bobo44b2o33b2o10b3o44b2o34bo10bobo44bobo33bo10bobo44b2o34bo10bobo44b2o33b2o10b3o44b2o34bo10bobo44bobo33bo10bobo44bobo91bobo33bo10bobo44b2o34bo10bobo44bobo33bo10bobo44b2o34bo10bobo44b2o33b2o10b3o44b2o34bo10bobo44bobo33bo10bobo44bobo91bobo33bo10bobo44bobo185bobo91bobo33bo10bobo44b2o34bo10bobo44bobo33bo10bobo44bobo91bobo33bo10bobo44b2o34bo10bobo44bobo33bo10bobo44b2o34bo10bobo44b2o33b2o10b3o44b2o34bo10bobo44bobo33bo10bobo44bobo91bobo33bo10bobo44bobo185bobo91bobo33bo10bobo44bobo373bobo185bobo91bobo33bo10bobo44b2o34bo10bobo44bobo33bo10bobo44bobo91bobo33bo10bobo44bobo185bobo91bobo33bo10bobo44b2o34bo10bobo44bobo33bo10bobo44bobo91bobo33bo10bobo44b2o34bo10bobo44bobo33bo10bobo44b2o34bo10bobo44b2o33b2o10b3o44b2o34bo10bobo44bobo33bo10bobo44bobo91bobo33bo10bobo44bobo185bobo91bobo33bo10bobo44bobo373bobo185bobo91bobo33bo10bobo44bobo749bobo373bobo185bobo91bobo33bo10bobo44b2o34bo10bobo44bobo33bo10bobo44bobo91bobo33bo10bobo44bobo185bobo91bobo33bo10bobo44bobo373bobo185bobo91bobo33bo10bobo44b2o34bo10bobo44bobo33bo10bobo44bobo91bobo33bo10bobo44bobo185bobo91bobo33bo10bobo44b2o34bo10bobo44bobo33bo10bobo44bobo91bobo33bo10bobo44b2o34bo10bobo44bobo33bo10bobo44b2o34bo10bobo44b2o33b2o10b3o\$76bo45b2obo44bo45b2obo44bo45b2obo44bo45b2obo44bo45b2obo44bo45b2obo44bo45b2obo44bo45b2obo44bo45b2obo44bo45b2obo90b2obo44bo45b2obo44bo45b2obo44bo45b2obo44bo45b2obo44bo45b2obo44bo45b2obo44bo45b2obo90b2obo44bo45b2obo184b2obo90b2obo44bo45b2obo44bo45b2obo44bo45b2obo90b2obo44bo45b2obo44bo45b2obo44bo45b2obo44bo45b2obo44bo45b2obo44bo45b2obo44bo45b2obo90b2obo44bo45b2obo184b2obo90b2obo44bo45b2obo372b2obo184b2obo90b2obo44bo45b2obo44bo45b2obo44bo45b2obo90b2obo44bo45b2obo184b2obo90b2obo44bo45b2obo44bo45b2obo44bo45b2obo90b2obo44bo45b2obo44bo45b2obo44bo45b2obo44bo45b2obo44bo45b2obo44bo45b2obo44bo45b2obo90b2obo44bo45b2obo184b2obo90b2obo44bo45b2obo372b2obo184b2obo90b2obo44bo45b2obo748b2obo372b2obo184b2obo90b2obo44bo45b2obo44bo45b2obo44bo45b2obo90b2obo44bo45b2obo184b2obo90b2obo44bo45b2obo372b2obo184b2obo90b2obo44bo45b2obo44bo45b2obo44bo45b2obo90b2obo44bo45b2obo184b2obo90b2obo44bo45b2obo44bo45b2obo44bo45b2obo90b2obo44bo45b2obo44bo45b2obo44bo45b2obo44bo45b2obo44bo17b2o\$76bobo44bobo44bobo44bobo33bo10b3o44bobo44bobo44bobo33bo10b3o32b2o10b2o34bo10b3o44bobo33bo10b3o44bobo44bobo44bobo33bo10b3o32b2o10b2o34bo10b3o32b2o10b2o33b2o45b2o10b2o34bo10b3o44bobo33bo10b3o32b2o10b2o34bo10b3o44bobo33bo10b3o44bobo44bobo44bobo33bo10b3o32b2o10b2o34bo10b3o32b2o10b2o33b2o45b2o10b2o34bo10b3o32b2o10b2o33b2o92b2o45b2o10b2o33b2o45b2o10b2o34bo10b3o44bobo33bo10b3o32b2o10b2o34bo10b3o32b2o10b2o33b2o45b2o10b2o34bo10b3o44bobo33bo10b3o32b2o10b2o34bo10b3o44bobo33bo10b3o44bobo44bobo44bobo33bo10b3o32b2o10b2o34bo10b3o32b2o10b2o33b2o45b2o10b2o34bo10b3o32b2o10b2o33b2o92b2o45b2o10b2o33b2o45b2o10b2o34bo10b3o32b2o10b2o33b2o92b2o186b2o45b2o10b2o33b2o92b2o45b2o10b2o33b2o45b2o10b2o34bo10b3o44bobo33bo10b3o32b2o10b2o34bo10b3o32b2o10b2o33b2o45b2o10b2o34bo10b3o32b2o10b2o33b2o92b2o45b2o10b2o33b2o45b2o10b2o34bo10b3o44bobo33bo10b3o32b2o10b2o34bo10b3o32b2o10b2o33b2o45b2o10b2o34bo10b3o44bobo33bo10b3o32b2o10b2o34bo10b3o44bobo33bo10b3o44bobo44bobo44bobo33bo10b3o32b2o10b2o34bo10b3o32b2o10b2o33b2o45b2o10b2o34bo10b3o32b2o10b2o33b2o92b2o45b2o10b2o33b2o45b2o10b2o34bo10b3o32b2o10b2o33b2o92b2o186b2o45b2o10b2o33b2o92b2o45b2o10b2o33b2o45b2o10b2o34bo10b3o32b2o10b2o33b2o92b2o186b2o374b2o45b2o10b2o33b2o92b2o186b2o45b2o10b2o33b2o92b2o45b2o10b2o33b2o45b2o10b2o34bo10b3o44bobo33bo10b3o32b2o10b2o34bo10b3o32b2o10b2o33b2o45b2o10b2o34bo10b3o32b2o10b2o33b2o92b2o45b2o10b2o33b2o45b2o10b2o34bo10b3o32b2o10b2o33b2o92b2o186b2o45b2o10b2o33b2o92b2o45b2o10b2o33b2o45b2o10b2o34bo10b3o44bobo33bo10b3o32b2o10b2o34bo10b3o32b2o10b2o33b2o45b2o10b2o34bo10b3o32b2o10b2o33b2o92b2o45b2o10b2o33b2o45b2o10b2o34bo10b3o44bobo33bo10b3o32b2o10b2o34bo10b3o32b2o10b2o33b2o45b2o10b2o34bo10b3o44bobo33bo10b3o32b2o10b2o34bo10b3o44bobo33bo10b3o44bobo44bobo15b2o\$77b2o32b3o10b2o45b2o32b3o10b2o33b2o44b3o10b2o45b2o32b3o10b2o33b2o44bobo10bo34b2o44b3o10b2o33b2o44b3o10b2o45b2o32b3o10b2o33b2o44bobo10bo34b2o44bobo10bo33bobo44bobo10bo34b2o44b3o10b2o33b2o44bobo10bo34b2o44b3o10b2o33b2o44b3o10b2o45b2o32b3o10b2o33b2o44bobo10bo34b2o44bobo10bo33bobo44bobo10bo34b2o44bobo10bo33bobo91bobo44bobo10bo33bobo44bobo10bo34b2o44b3o10b2o33b2o44bobo10bo34b2o44bobo10bo33bobo44bobo10bo34b2o44b3o10b2o33b2o44bobo10bo34b2o44b3o10b2o33b2o44b3o10b2o45b2o32b3o10b2o33b2o44bobo10bo34b2o44bobo10bo33bobo44bobo10bo34b2o44bobo10bo33bobo91bobo44bobo10bo33bobo44bobo10bo34b2o44bobo10bo33bobo91bobo185bobo44bobo10bo33bobo91bobo44bobo10bo33bobo44bobo10bo34b2o44b3o10b2o33b2o44bobo10bo34b2o44bobo10bo33bobo44bobo10bo34b2o44bobo10bo33bobo91bobo44bobo10bo33bobo44bobo10bo34b2o44b3o10b2o33b2o44bobo10bo34b2o44bobo10bo33bobo44bobo10bo34b2o44b3o10b2o33b2o44bobo10bo34b2o44b3o10b2o33b2o44b3o10b2o45b2o32b3o10b2o33b2o44bobo10bo34b2o44bobo10bo33bobo44bobo10bo34b2o44bobo10bo33bobo91bobo44bobo10bo33bobo44bobo10bo34b2o44bobo10bo33bobo91bobo185bobo44bobo10bo33bobo91bobo44bobo10bo33bobo44bobo10bo34b2o44bobo10bo33bobo91bobo185bobo373bobo44bobo10bo33bobo91bobo185bobo44bobo10bo33bobo91bobo44bobo10bo33bobo44bobo10bo34b2o44b3o10b2o33b2o44bobo10bo34b2o44bobo10bo33bobo44bobo10bo34b2o44bobo10bo33bobo91bobo44bobo10bo33bobo44bobo10bo34b2o44bobo10bo33bobo91bobo185bobo44bobo10bo33bobo91bobo44bobo10bo33bobo44bobo10bo34b2o44b3o10b2o33b2o44bobo10bo34b2o44bobo10bo33bobo44bobo10bo34b2o44bobo10bo33bobo91bobo44bobo10bo33bobo44bobo10bo34b2o44b3o10b2o33b2o44bobo10bo34b2o44bobo10bo33bobo44bobo10bo34b2o44b3o10b2o33b2o44bobo10bo34b2o44b3o10b2o33b2o44b3o10b2o45b2o\$113bo93bo44bob2o45bo93bo44bob2o45bo44bob2o45bo44bob2o45bo93bo44bob2o45bo44bob2o45bo44bob2o45bo44bob2o45bo44bob2o45bo44bob2o45bo44bob2o45bo93bo44bob2o45bo44bob2o45bo44bob2o45bo44bob2o45bo44bob2o90bob2o45bo44bob2o45bo44bob2o45bo44bob2o45bo44bob2o45bo44bob2o45bo44bob2o45bo44bob2o45bo44bob2o45bo44bob2o45bo93bo44bob2o45bo44bob2o45bo44bob2o45bo44bob2o45bo44bob2o90bob2o45bo44bob2o45bo44bob2o45bo44bob2o90bob2o184bob2o45bo44bob2o90bob2o45bo44bob2o45bo44bob2o45bo44bob2o45bo44bob2o45bo44bob2o45bo44bob2o45bo44bob2o90bob2o45bo44bob2o45bo44bob2o45bo44bob2o45bo44bob2o45bo44bob2o45bo44bob2o45bo44bob2o45bo44bob2o45bo44bob2o45bo93bo44bob2o45bo44bob2o45bo44bob2o45bo44bob2o45bo44bob2o90bob2o45bo44bob2o45bo44bob2o45bo44bob2o90bob2o184bob2o45bo44bob2o90bob2o45bo44bob2o45bo44bob2o45bo44bob2o90bob2o184bob2o372bob2o45bo44bob2o90bob2o184bob2o45bo44bob2o90bob2o45bo44bob2o45bo44bob2o45bo44bob2o45bo44bob2o45bo44bob2o45bo44bob2o45bo44bob2o90bob2o45bo44bob2o45bo44bob2o45bo44bob2o90bob2o184bob2o45bo44bob2o90bob2o45bo44bob2o45bo44bob2o45bo44bob2o45bo44bob2o45bo44bob2o45bo44bob2o45bo44bob2o90bob2o45bo44bob2o45bo44bob2o45bo44bob2o45bo44bob2o45bo44bob2o45bo44bob2o45bo44bob2o45bo44bob2o45bo44bob2o45bo\$111bobo91bobo44bobo44bobo91bobo44bobo44b3o10bo33bobo44bobo44bobo44bobo91bobo44bobo44b3o10bo33bobo44b3o10bo34b2o10b2o32b3o10bo33bobo44bobo44bobo44b3o10bo33bobo44bobo44bobo44bobo91bobo44bobo44b3o10bo33bobo44b3o10bo34b2o10b2o32b3o10bo33bobo44b3o10bo34b2o10b2o45b2o33b2o10b2o32b3o10bo34b2o10b2o32b3o10bo33bobo44bobo44bobo44b3o10bo33bobo44b3o10bo34b2o10b2o32b3o10bo33bobo44bobo44bobo44b3o10bo33bobo44bobo44bobo44bobo91bobo44bobo44b3o10bo33bobo44b3o10bo34b2o10b2o32b3o10bo33bobo44b3o10bo34b2o10b2o45b2o33b2o10b2o32b3o10bo34b2o10b2o32b3o10bo33bobo44b3o10bo34b2o10b2o45b2o33b2o10b2o45b2o92b2o33b2o10b2o32b3o10bo34b2o10b2o45b2o33b2o10b2o32b3o10bo34b2o10b2o32b3o10bo33bobo44bobo44bobo44b3o10bo33bobo44b3o10bo34b2o10b2o32b3o10bo33bobo44b3o10bo34b2o10b2o45b2o33b2o10b2o32b3o10bo34b2o10b2o32b3o10bo33bobo44bobo44bobo44b3o10bo33bobo44b3o10bo34b2o10b2o32b3o10bo33bobo44bobo44bobo44b3o10bo33bobo44bobo44bobo44bobo91bobo44bobo44b3o10bo33bobo44b3o10bo34b2o10b2o32b3o10bo33bobo44b3o10bo34b2o10b2o45b2o33b2o10b2o32b3o10bo34b2o10b2o32b3o10bo33bobo44b3o10bo34b2o10b2o45b2o33b2o10b2o45b2o92b2o33b2o10b2o32b3o10bo34b2o10b2o45b2o33b2o10b2o32b3o10bo34b2o10b2o32b3o10bo33bobo44b3o10bo34b2o10b2o45b2o33b2o10b2o45b2o92b2o33b2o10b2o45b2o186b2o92b2o33b2o10b2o32b3o10bo34b2o10b2o45b2o33b2o10b2o45b2o92b2o33b2o10b2o32b3o10bo34b2o10b2o45b2o33b2o10b2o32b3o10bo34b2o10b2o32b3o10bo33bobo44bobo44bobo44b3o10bo33bobo44b3o10bo34b2o10b2o32b3o10bo33bobo44b3o10bo34b2o10b2o45b2o33b2o10b2o32b3o10bo34b2o10b2o32b3o10bo33bobo44b3o10bo34b2o10b2o45b2o33b2o10b2o45b2o92b2o33b2o10b2o32b3o10bo34b2o10b2o45b2o33b2o10b2o32b3o10bo34b2o10b2o32b3o10bo33bobo44bobo44bobo44b3o10bo33bobo44b3o10bo34b2o10b2o32b3o10bo33bobo44b3o10bo34b2o10b2o45b2o33b2o10b2o32b3o10bo34b2o10b2o32b3o10bo33bobo44bobo44bobo44b3o10bo33bobo44b3o10bo34b2o10b2o32b3o10bo33bobo44bobo44bobo44b3o10bo33bobo44bobo44bobo44bobo\$111b2o92b2o45b2o10b3o32b2o92b2o45b2o10b3o44b2o33b2o10b3o32b2o45b2o10b3o32b2o92b2o45b2o10b3o44b2o33b2o10b3o44b2o34bo10bobo44b2o33b2o10b3o32b2o45b2o10b3o44b2o33b2o10b3o32b2o45b2o10b3o32b2o92b2o45b2o10b3o44b2o33b2o10b3o44b2o34bo10bobo44b2o33b2o10b3o44b2o34bo10bobo44bobo33bo10bobo44b2o34bo10bobo44b2o33b2o10b3o32b2o45b2o10b3o44b2o33b2o10b3o44b2o34bo10bobo44b2o33b2o10b3o32b2o45b2o10b3o44b2o33b2o10b3o32b2o45b2o10b3o32b2o92b2o45b2o10b3o44b2o33b2o10b3o44b2o34bo10bobo44b2o33b2o10b3o44b2o34bo10bobo44bobo33bo10bobo44b2o34bo10bobo44b2o33b2o10b3o44b2o34bo10bobo44bobo33bo10bobo44bobo91bobo33bo10bobo44b2o34bo10bobo44bobo33bo10bobo44b2o34bo10bobo44b2o33b2o10b3o32b2o45b2o10b3o44b2o33b2o10b3o44b2o34bo10bobo44b2o33b2o10b3o44b2o34bo10bobo44bobo33bo10bobo44b2o34bo10bobo44b2o33b2o10b3o32b2o45b2o10b3o44b2o33b2o10b3o44b2o34bo10bobo44b2o33b2o10b3o32b2o45b2o10b3o44b2o33b2o10b3o32b2o45b2o10b3o32b2o92b2o45b2o10b3o44b2o33b2o10b3o44b2o34bo10bobo44b2o33b2o10b3o44b2o34bo10bobo44bobo33bo10bobo44b2o34bo10bobo44b2o33b2o10b3o44b2o34bo10bobo44bobo33bo10bobo44bobo91bobo33bo10bobo44b2o34bo10bobo44bobo33bo10bobo44b2o34bo10bobo44b2o33b2o10b3o44b2o34bo10bobo44bobo33bo10bobo44bobo91bobo33bo10bobo44bobo185bobo91bobo33bo10bobo44b2o34bo10bobo44bobo33bo10bobo44bobo91bobo33bo10bobo44b2o34bo10bobo44bobo33bo10bobo44b2o34bo10bobo44b2o33b2o10b3o32b2o45b2o10b3o44b2o33b2o10b3o44b2o34bo10bobo44b2o33b2o10b3o44b2o34bo10bobo44bobo33bo10bobo44b2o34bo10bobo44b2o33b2o10b3o44b2o34bo10bobo44bobo33bo10bobo44bobo91bobo33bo10bobo44b2o34bo10bobo44bobo33bo10bobo44b2o34bo10bobo44b2o33b2o10b3o32b2o45b2o10b3o44b2o33b2o10b3o44b2o34bo10bobo44b2o33b2o10b3o44b2o34bo10bobo44bobo33bo10bobo44b2o34bo10bobo44b2o33b2o10b3o32b2o45b2o10b3o44b2o33b2o10b3o44b2o34bo10bobo44b2o33b2o10b3o32b2o45b2o10b3o44b2o33b2o10b3o32b2o45b2o10b3o32b2o\$264bo187bo45b2obo44bo93bo187bo45b2obo44bo45b2obo44bo45b2obo44bo93bo45b2obo44bo93bo187bo45b2obo44bo45b2obo44bo45b2obo44bo45b2obo44bo45b2obo44bo45b2obo44bo45b2obo44bo93bo45b2obo44bo45b2obo44bo45b2obo44bo93bo45b2obo44bo93bo187bo45b2obo44bo45b2obo44bo45b2obo44bo45b2obo44bo45b2obo44bo45b2obo44bo45b2obo44bo45b2obo44bo45b2obo44bo45b2obo90b2obo44bo45b2obo44bo45b2obo44bo45b2obo44bo45b2obo44bo93bo45b2obo44bo45b2obo44bo45b2obo44bo45b2obo44bo45b2obo44bo45b2obo44bo45b2obo44bo93bo45b2obo44bo45b2obo44bo45b2obo44bo93bo45b2obo44bo93bo187bo45b2obo44bo45b2obo44bo45b2obo44bo45b2obo44bo45b2obo44bo45b2obo44bo45b2obo44bo45b2obo44bo45b2obo44bo45b2obo90b2obo44bo45b2obo44bo45b2obo44bo45b2obo44bo45b2obo44bo45b2obo44bo45b2obo44bo45b2obo90b2obo44bo45b2obo184b2obo90b2obo44bo45b2obo44bo45b2obo44bo45b2obo90b2obo44bo45b2obo44bo45b2obo44bo45b2obo44bo45b2obo44bo93bo45b2obo44bo45b2obo44bo45b2obo44bo45b2obo44bo45b2obo44bo45b2obo44bo45b2obo44bo45b2obo44bo45b2obo44bo45b2obo90b2obo44bo45b2obo44bo45b2obo44bo45b2obo44bo45b2obo44bo93bo45b2obo44bo45b2obo44bo45b2obo44bo45b2obo44bo45b2obo44bo45b2obo44bo45b2obo44bo93bo45b2obo44bo45b2obo44bo45b2obo44bo93bo45b2obo44bo93bo\$264bobo185bobo44bobo44bobo91bobo185bobo44bobo44bobo44bobo33bo10b3o44bobo44bobo91bobo44bobo44bobo91bobo185bobo44bobo44bobo44bobo33bo10b3o44bobo44bobo44bobo33bo10b3o32b2o10b2o34bo10b3o44bobo33bo10b3o44bobo44bobo91bobo44bobo44bobo44bobo33bo10b3o44bobo44bobo91bobo44bobo44bobo91bobo185bobo44bobo44bobo44bobo33bo10b3o44bobo44bobo44bobo33bo10b3o32b2o10b2o34bo10b3o44bobo33bo10b3o44bobo44bobo44bobo33bo10b3o32b2o10b2o34bo10b3o32b2o10b2o33b2o45b2o10b2o34bo10b3o44bobo33bo10b3o32b2o10b2o34bo10b3o44bobo33bo10b3o44bobo44bobo91bobo44bobo44bobo44bobo33bo10b3o44bobo44bobo44bobo33bo10b3o32b2o10b2o34bo10b3o44bobo33bo10b3o44bobo44bobo91bobo44bobo44bobo44bobo33bo10b3o44bobo44bobo91bobo44bobo44bobo91bobo185bobo44bobo44bobo44bobo33bo10b3o44bobo44bobo44bobo33bo10b3o32b2o10b2o34bo10b3o44bobo33bo10b3o44bobo44bobo44bobo33bo10b3o32b2o10b2o34bo10b3o32b2o10b2o33b2o45b2o10b2o34bo10b3o44bobo33bo10b3o32b2o10b2o34bo10b3o44bobo33bo10b3o44bobo44bobo44bobo33bo10b3o32b2o10b2o34bo10b3o32b2o10b2o33b2o45b2o10b2o34bo10b3o32b2o10b2o33b2o92b2o45b2o10b2o33b2o45b2o10b2o34bo10b3o44bobo33bo10b3o32b2o10b2o34bo10b3o32b2o10b2o33b2o45b2o10b2o34bo10b3o44bobo33bo10b3o32b2o10b2o34bo10b3o44bobo33bo10b3o44bobo44bobo91bobo44bobo44bobo44bobo33bo10b3o44bobo44bobo44bobo33bo10b3o32b2o10b2o34bo10b3o44bobo33bo10b3o44bobo44bobo44bobo33bo10b3o32b2o10b2o34bo10b3o32b2o10b2o33b2o45b2o10b2o34bo10b3o44bobo33bo10b3o32b2o10b2o34bo10b3o44bobo33bo10b3o44bobo44bobo91bobo44bobo44bobo44bobo33bo10b3o44bobo44bobo44bobo33bo10b3o32b2o10b2o34bo10b3o44bobo33bo10b3o44bobo44bobo91bobo44bobo44bobo44bobo33bo10b3o44bobo44bobo91bobo44bobo44bobo91bobo\$265b2o186b2o32b3o10b2o45b2o92b2o186b2o32b3o10b2o45b2o32b3o10b2o33b2o44b3o10b2o45b2o92b2o32b3o10b2o45b2o92b2o186b2o32b3o10b2o45b2o32b3o10b2o33b2o44b3o10b2o45b2o32b3o10b2o33b2o44bobo10bo34b2o44b3o10b2o33b2o44b3o10b2o45b2o92b2o32b3o10b2o45b2o32b3o10b2o33b2o44b3o10b2o45b2o92b2o32b3o10b2o45b2o92b2o186b2o32b3o10b2o45b2o32b3o10b2o33b2o44b3o10b2o45b2o32b3o10b2o33b2o44bobo10bo34b2o44b3o10b2o33b2o44b3o10b2o45b2o32b3o10b2o33b2o44bobo10bo34b2o44bobo10bo33bobo44bobo10bo34b2o44b3o10b2o33b2o44bobo10bo34b2o44b3o10b2o33b2o44b3o10b2o45b2o92b2o32b3o10b2o45b2o32b3o10b2o33b2o44b3o10b2o45b2o32b3o10b2o33b2o44bobo10bo34b2o44b3o10b2o33b2o44b3o10b2o45b2o92b2o32b3o10b2o45b2o32b3o10b2o33b2o44b3o10b2o45b2o92b2o32b3o10b2o45b2o92b2o186b2o32b3o10b2o45b2o32b3o10b2o33b2o44b3o10b2o45b2o32b3o10b2o33b2o44bobo10bo34b2o44b3o10b2o33b2o44b3o10b2o45b2o32b3o10b2o33b2o44bobo10bo34b2o44bobo10bo33bobo44bobo10bo34b2o44b3o10b2o33b2o44bobo10bo34b2o44b3o10b2o33b2o44b3o10b2o45b2o32b3o10b2o33b2o44bobo10bo34b2o44bobo10bo33bobo44bobo10bo34b2o44bobo10bo33bobo91bobo44bobo10bo33bobo44bobo10bo34b2o44b3o10b2o33b2o44bobo10bo34b2o44bobo10bo33bobo44bobo10bo34b2o44b3o10b2o33b2o44bobo10bo34b2o44b3o10b2o33b2o44b3o10b2o45b2o92b2o32b3o10b2o45b2o32b3o10b2o33b2o44b3o10b2o45b2o32b3o10b2o33b2o44bobo10bo34b2o44b3o10b2o33b2o44b3o10b2o45b2o32b3o10b2o33b2o44bobo10bo34b2o44bobo10bo33bobo44bobo10bo34b2o44b3o10b2o33b2o44bobo10bo34b2o44b3o10b2o33b2o44b3o10b2o45b2o92b2o32b3o10b2o45b2o32b3o10b2o33b2o44b3o10b2o45b2o32b3o10b2o33b2o44bobo10bo34b2o44b3o10b2o33b2o44b3o10b2o45b2o92b2o32b3o10b2o45b2o32b3o10b2o33b2o44b3o10b2o45b2o92b2o32b3o10b2o45b2o92b2o\$489bo375bo93bo44bob2o45bo187bo375bo93bo44bob2o45bo93bo44bob2o45bo44bob2o45bo44bob2o45bo187bo93bo44bob2o45bo187bo375bo93bo44bob2o45bo93bo44bob2o45bo44bob2o45bo44bob2o45bo93bo44bob2o45bo44bob2o45bo44bob2o45bo44bob2o45bo44bob2o45bo44bob2o45bo44bob2o45bo187bo93bo44bob2o45bo93bo44bob2o45bo44bob2o45bo44bob2o45bo187bo93bo44bob2o45bo187bo375bo93bo44bob2o45bo93bo44bob2o45bo44bob2o45bo44bob2o45bo93bo44bob2o45bo44bob2o45bo44bob2o45bo44bob2o45bo44bob2o45bo44bob2o45bo44bob2o45bo93bo44bob2o45bo44bob2o45bo44bob2o45bo44bob2o45bo44bob2o90bob2o45bo44bob2o45bo44bob2o45bo44bob2o45bo44bob2o45bo44bob2o45bo44bob2o45bo44bob2o45bo44bob2o45bo44bob2o45bo187bo93bo44bob2o45bo93bo44bob2o45bo44bob2o45bo44bob2o45bo93bo44bob2o45bo44bob2o45bo44bob2o45bo44bob2o45bo44bob2o45bo44bob2o45bo44bob2o45bo187bo93bo44bob2o45bo93bo44bob2o45bo44bob2o45bo44bob2o45bo187bo93bo44bob2o45bo187bo\$487bobo373bobo91bobo44bobo44bobo185bobo373bobo91bobo44bobo44bobo91bobo44bobo44b3o10bo33bobo44bobo44bobo44bobo185bobo91bobo44bobo44bobo185bobo373bobo91bobo44bobo44bobo91bobo44bobo44b3o10bo33bobo44bobo44bobo44bobo91bobo44bobo44b3o10bo33bobo44b3o10bo34b2o10b2o32b3o10bo33bobo44bobo44bobo44b3o10bo33bobo44bobo44bobo44bobo185bobo91bobo44bobo44bobo91bobo44bobo44b3o10bo33bobo44bobo44bobo44bobo185bobo91bobo44bobo44bobo185bobo373bobo91bobo44bobo44bobo91bobo44bobo44b3o10bo33bobo44bobo44bobo44bobo91bobo44bobo44b3o10bo33bobo44b3o10bo34b2o10b2o32b3o10bo33bobo44bobo44bobo44b3o10bo33bobo44bobo44bobo44bobo91bobo44bobo44b3o10bo33bobo44b3o10bo34b2o10b2o32b3o10bo33bobo44b3o10bo34b2o10b2o45b2o33b2o10b2o32b3o10bo34b2o10b2o32b3o10bo33bobo44bobo44bobo44b3o10bo33bobo44b3o10bo34b2o10b2o32b3o10bo33bobo44bobo44bobo44b3o10bo33bobo44bobo44bobo44bobo185bobo91bobo44bobo44bobo91bobo44bobo44b3o10bo33bobo44bobo44bobo44bobo91bobo44bobo44b3o10bo33bobo44b3o10bo34b2o10b2o32b3o10bo33bobo44bobo44bobo44b3o10bo33bobo44bobo44bobo44bobo185bobo91bobo44bobo44bobo91bobo44bobo44b3o10bo33bobo44bobo44bobo44bobo185bobo91bobo44bobo44bobo185bobo\$487b2o374b2o92b2o45b2o10b3o32b2o186b2o374b2o92b2o45b2o10b3o32b2o92b2o45b2o10b3o44b2o33b2o10b3o32b2o45b2o10b3o32b2o186b2o92b2o45b2o10b3o32b2o186b2o374b2o92b2o45b2o10b3o32b2o92b2o45b2o10b3o44b2o33b2o10b3o32b2o45b2o10b3o32b2o92b2o45b2o10b3o44b2o33b2o10b3o44b2o34bo10bobo44b2o33b2o10b3o32b2o45b2o10b3o44b2o33b2o10b3o32b2o45b2o10b3o32b2o186b2o92b2o45b2o10b3o32b2o92b2o45b2o10b3o44b2o33b2o10b3o32b2o45b2o10b3o32b2o186b2o92b2o45b2o10b3o32b2o186b2o374b2o92b2o45b2o10b3o32b2o92b2o45b2o10b3o44b2o33b2o10b3o32b2o45b2o10b3o32b2o92b2o45b2o10b3o44b2o33b2o10b3o44b2o34bo10bobo44b2o33b2o10b3o32b2o45b2o10b3o44b2o33b2o10b3o32b2o45b2o10b3o32b2o92b2o45b2o10b3o44b2o33b2o10b3o44b2o34bo10bobo44b2o33b2o10b3o44b2o34bo10bobo44bobo33bo10bobo44b2o34bo10bobo44b2o33b2o10b3o32b2o45b2o10b3o44b2o33b2o10b3o44b2o34bo10bobo44b2o33b2o10b3o32b2o45b2o10b3o44b2o33b2o10b3o32b2o45b2o10b3o32b2o186b2o92b2o45b2o10b3o32b2o92b2o45b2o10b3o44b2o33b2o10b3o32b2o45b2o10b3o32b2o92b2o45b2o10b3o44b2o33b2o10b3o44b2o34bo10bobo44b2o33b2o10b3o32b2o45b2o10b3o44b2o33b2o10b3o32b2o45b2o10b3o32b2o186b2o92b2o45b2o10b3o32b2o92b2o45b2o10b3o44b2o33b2o10b3o32b2o45b2o10b3o32b2o186b2o92b2o45b2o10b3o32b2o186b2o\$1016bo751bo187bo45b2obo44bo93bo375bo751bo187bo45b2obo44bo93bo187bo45b2obo44bo45b2obo44bo45b2obo44bo93bo45b2obo44bo93bo375bo187bo45b2obo44bo93bo375bo751bo187bo45b2obo44bo93bo187bo45b2obo44bo45b2obo44bo45b2obo44bo93bo45b2obo44bo93bo187bo45b2obo44bo45b2obo44bo45b2obo44bo45b2obo44bo45b2obo44bo45b2obo44bo45b2obo44bo93bo45b2obo44bo45b2obo44bo45b2obo44bo93bo45b2obo44bo93bo375bo187bo45b2obo44bo93bo187bo45b2obo44bo45b2obo44bo45b2obo44bo93bo45b2obo44bo93bo375bo187bo45b2obo44bo93bo375bo\$1016bobo749bobo185bobo44bobo44bobo91bobo373bobo749bobo185bobo44bobo44bobo91bobo185bobo44bobo44bobo44bobo33bo10b3o44bobo44bobo91bobo44bobo44bobo91bobo373bobo185bobo44bobo44bobo91bobo373bobo749bobo185bobo44bobo44bobo91bobo185bobo44bobo44bobo44bobo33bo10b3o44bobo44bobo91bobo44bobo44bobo91bobo185bobo44bobo44bobo44bobo33bo10b3o44bobo44bobo44bobo33bo10b3o32b2o10b2o34bo10b3o44bobo33bo10b3o44bobo44bobo91bobo44bobo44bobo44bobo33bo10b3o44bobo44bobo91bobo44bobo44bobo91bobo373bobo185bobo44bobo44bobo91bobo185bobo44bobo44bobo44bobo33bo10b3o44bobo44bobo91bobo44bobo44bobo91bobo373bobo185bobo44bobo44bobo91bobo373bobo\$1017b2o750b2o186b2o32b3o10b2o45b2o92b2o374b2o750b2o186b2o32b3o10b2o45b2o92b2o186b2o32b3o10b2o45b2o32b3o10b2o33b2o44b3o10b2o45b2o92b2o32b3o10b2o45b2o92b2o374b2o186b2o32b3o10b2o45b2o92b2o374b2o750b2o186b2o32b3o10b2o45b2o92b2o186b2o32b3o10b2o45b2o32b3o10b2o33b2o44b3o10b2o45b2o92b2o32b3o10b2o45b2o92b2o186b2o32b3o10b2o45b2o32b3o10b2o33b2o44b3o10b2o45b2o32b3o10b2o33b2o44bobo10bo34b2o44b3o10b2o33b2o44b3o10b2o45b2o92b2o32b3o10b2o45b2o32b3o10b2o33b2o44b3o10b2o45b2o92b2o32b3o10b2o45b2o92b2o374b2o186b2o32b3o10b2o45b2o92b2o186b2o32b3o10b2o45b2o32b3o10b2o33b2o44b3o10b2o45b2o92b2o32b3o10b2o45b2o92b2o374b2o186b2o32b3o10b2o45b2o92b2o374b2o\$1993bo1503bo375bo93bo44bob2o45bo187bo751bo1503bo375bo93bo44bob2o45bo187bo375bo93bo44bob2o45bo93bo44bob2o45bo44bob2o45bo44bob2o45bo187bo93bo44bob2o45bo187bo751bo375bo93bo44bob2o45bo187bo751bo\$1991bobo1501bobo373bobo91bobo44bobo44bobo185bobo749bobo1501bobo373bobo91bobo44bobo44bobo185bobo373bobo91bobo44bobo44bobo91bobo44bobo44b3o10bo33bobo44bobo44bobo44bobo185bobo91bobo44bobo44bobo185bobo749bobo373bobo91bobo44bobo44bobo185bobo749bobo\$1991b2o1502b2o374b2o92b2o45b2o10b3o32b2o186b2o750b2o1502b2o374b2o92b2o45b2o10b3o32b2o186b2o374b2o92b2o45b2o10b3o32b2o92b2o45b2o10b3o44b2o33b2o10b3o32b2o45b2o10b3o32b2o186b2o92b2o45b2o10b3o32b2o186b2o750b2o374b2o92b2o45b2o10b3o32b2o186b2o750b2o\$4024bo3007bo751bo187bo45b2obo44bo93bo375bo1503bo\$4024bobo3005bobo749bobo185bobo44bobo44bobo91bobo373bobo1501bobo\$4025b2o3006b2o750b2o186b2o32b3o10b2o45b2o92b2o374b2o1502b2o\$8009bo\$8007bobo\$8007b2o!`

Since all guns are in the same phase, let's look at the vertical differences between them. The second gun is three cells below the first, the third gun is three cells below the second, the fourth gun is three cells above the third, the fifth gun is three cells below the fourth, the sixth gun is three cells below the fifth, the seventh gun is three cells above the sixth, the eighth gun is three cells above the seventh, and so on.

Now, where have I seen the sequence "down, down, up, down, down, up, up, down, down, down, up, up, down, up, up..." before?

It's the paper-folding sequence!
I Like My Heisenburps! (and others)

Extrementhusiast

Posts: 1757
Joined: June 16th, 2009, 11:24 pm
Location: USA

### Re: Interesting Fractal Pattern

Extrementhusiast wrote:
simsim314 wrote:While ago I've designed Serpinsky glider gun

Slight variation on that:

New project proposal: a puffer that creates an infinite series of either of these

Tropylium

Posts: 406
Joined: May 31st, 2011, 7:12 pm
Location: Finland

### Re: Interesting Fractal Pattern

Sierpinski triangle generator:
`x = 1238, y = 230, rule = B3/S23104b2o199b2o224b2o113b2o36b2o251b2o129b2o\$104b2o162b2o34bob3obo14bo186bo14bob3obo93bo14bob3obo34bob3obo14bo213bo15bo4bo109bo14bob3obo\$119bo148bobo33bobo3bo12b3o186b3o12bo3bobo93b3o12bo3bobo34bobo3bo12b3o213b3o11b2obobobo109b3o12b2o4bo\$104bo12b3o150bo4b2o26b2obobo2bo10bo192bo10bo2bobob2o95bo10bo2bobob2o32b2obobo2bo10bo219bo10b2o3bob2o111bo13bobob2o\$68b2o33bobo10bo149b4ob2o2bo2bo27b2o3bo10b2o190b2o10bo3b2o97b2o10bo3b2o38b2o3bo10b2o217b2o11bob3o113b2o10b3ob2o\$67bobo33bo2bo9b2o148bo2bobobobob2o24b3o3bo218bo3b3o108bo3b3o32b3o3bo244bo4b3o122b3o3b3o\$66b3o14bo20bo2bo161bobobobo27bo2b2obo8bo200bo8bob2o2bo99bo8bob2o2bo32bo2b2obo8bo227bo7b3obo2bo115bo5b2o3b2o2bo\$66b2o13b3o28bo157b2obobo28bo5bo2bo3bobo96b2o11bo6b2o80bobo3bo2bo5bo99bobo3bo2bo5bo34bo5bo2bo3bobo225bobo6b2o3b2o115bobo4b3o3bobo\$69b2o9bo23bo2bo3bobo160bo26b3o2b2obo6bo2bo13b2o6bo11b2o61b2o10bobo4bo2bo44b2o11bo6b2o13bo2bo6bob2o2b3o61b2o11bo6b2o13bo2bo6bob2o2b3o28b3o2b2obo6bo2bo13b2o6bo11b2o73b2o11bo6b2o60b2o11bo6b2o13bo2bo5b3obo2b3o77b2o11bo6b2o13bo2bo3b2o3b2o2b3o46b2o6bo11b2o\$68b3o9b2o22b2o4bo2bo97b2o88bo2b2o3bo7b2o13bo2bo4bobo10b2o73bobo3bob3o44b2o10bobo4bo2bo13b2o7bo3b2o2bo61b2o10bobo4bo2bo13b2o7bo3b2o2bo28bo2b2o3bo7b2o13bo2bo4bobo10b2o73b2o10bobo4bo2bo59b2o10bobo4bo2bo13b2o6bo4b2o2bo77b2o10bobo4bo2bo13b2o5b3o3b2o2bo45bo2bo4bobo10b2o\$111b2o79bo14bob3obo46b2o40bo3b2o3bo16b2o2b3obo3bobo84b2ob2obobo10b2o47bobo3bob3o2b2o16bo3b2o3bo74bobo3bob3o2b2o16bo3b2o3bo30bo3b2o3bo16b2o2b3obo3bobo97bobo3bob3o71bobo3bob3o2b2o17bob3o3bo31b2o57bobo3bob3o2b2o16b3ob2o3bo46b3obo3bobo\$76bo115b3o12bo3bobo47bo7b2o32b2obobo2bo16bo6bobob2ob2o87bobo3b2o7b2o46b2ob2obobo6bo16bo2bobob2o74b2ob2obobo6bo16bo2bobob2o32b2obobo2bo16bo6bobob2ob2o95b2ob2obobo10b2o61b2ob2obobo6bo16b2o3bob2o32b2o56b2ob2obobo6bo19bobob2o38b2o10bobob2ob2o\$68b2o5bobo117bo10bo2bobob2o46bobo5b2o33bobo3bo15bobo3b2o3bobo87b2obo2b4obo59bobo3b2o3bobo15bo3bobo79bobo3b2o3bobo15bo3bobo34bobo3bo15bobo3b2o3bobo103bobo3b2o7b2o65bobo3b2o3bobo14b2obobobo19bo75bobo3b2o3bobo15b2o4bo39b2o7b2o3bobo\$68b2o4bo2bo116b2o10bo3b2o3bo46b2o40bob3obo15b2o4bob4o2bob2o83b2obobo3bo57b2obo2b4obo4b2o15bob3obo75b2obo2b4obo4b2o15bob3obo34bob3obo15b2o4bob4o2bob2o95b2obo2b4obo70b2obo2b4obo4b2o16bo4bo19b3o69b2obo2b4obo4b2o15bob3obo48bob4o2bob2o\$75b2o53b2o76bo3b2o2bo88b2o27bo3bobob2o87bobo3bo56b2obobo3bo27b2o76b2obobo3bo27b2o36b2o27bo3bobob2o95b2obobo3bo72b2obobo3bo27b2o23bo10b3o55b2obobo3bo27b2o4b2o45bo3bobob2o\$126b2o2b2o2b2o72bob2o2b3o116bo3bobo92bobo3bo59bobo3bo108bobo3bo71bo20bo3bobo103bobo3bo75bobo3bo50b2o11b2o59bobo3bo32b2o44bo3bobo\$126bobo2bo2b2o64b2o2bo2bo5bo118bo3bobo94bo3b2o60bobo3bo108bobo3bo69bo20bo3bobo105bobo3bo75bobo3bo59b2o63bobo3bo46bo29bo3bobo60bo\$127b3o33b2o11bo6b2o14b3o6bob2o2bo102bo14b2o3bo162bo3b2o14bo94bo3b2o14bo54b3o3bo14b2o3bo107bo3b2o76bo3b2o14bo39bo4b3o63bo3b2o14bo16bo12b3o29b2o3bo62bo\$128b2o33b2o10bobo4bo2bo13bo8bo3b3o101bobo200bobo112bobo58bobo227bobo37bobo4bobo81bobo14bobo10bo98b3o\$175bobo3bob3o2b2o9b2o5bo3b2o105bo168b2o32bo114bo60bo229bo38bo2bo4b2o82bo15bo2bo9b2o\$174b2ob2obobo6bo16bo2bobob2o57b2o150b2o60b2o478b2o106bo2bo\$90bo35bo51bobo3b2o3bobo15bo3bobo58bo72b2o77b2o59bo120b2o116b2o89b2o80b2o129b2o52bo49b2o\$90b3o32bobo46b2obo2b4obo4b2o15bob3obo59b3o69b2o62b2o75b2o118b2o61b2o53b2o89b2o80b2o37bobo89b2o44bo2bo3bobo48b2o\$93bo31bo2bo45b2obobo3bo27b2o4b2o56bo84b2o46bo2bo64b2o8b2o103b2o77bo68b2o59b2o80b2o53b2o74b2o7b2o50b2o4bo2bo63b2o\$92b2o32b2o50bobo3bo32b2o140bo2bo44bob2o42b2o20bo2bo111bo2bo76bobo65bo2bo57bo2bo78bo2bo52bo74bo2bo5bobo57b2o13b2o48bo2bo\$179bobo3bo130b2o42b2obo43bo45b2o19bob2o42b2o67bob2o42b2o34b2o22b2o42b2obo55bob2o42b2o34bob2o42b2o83bob2o8bo33b2o33b2o2b2o2b2ob2o42b2obo\$169b2o9bo3b2o14bo115b2o45bo42b2o66bo45b2o67bo45b2o58b2o45bo55bo45b2o34bo45b2o83bo45b2o33bobo2bo2b2ob2o45bo\$130b2o36bo3bo26bobo15b3o143b2o108b2o113b2o152b2o53b2o80b2o129b2o81b3o54b2o\$130bobo35bo31bo17b2o136b2o35bo26b2o37b2obo89b2o121b2o311b2o104b2o\$132bo36bob3o41b2o26b2o104b2o4b2o20bo14bobo3b2o21bo31b2o4bob2o24b2o63bo22bo26b2o70bo2bo50b2o26bo27bo26b2o53bo26b2o93bo8bo26b2o110b2o26bo\$132b2o81b3o26bo9b3o59b2o31bo7bo13b2o3bobo12bo2bo3bo21bo14b2o16b2o8b2o23bo31b2o28bobo21bobo3b2o11b2o8bo31b2o38bobo17b2o31bo21b2o3bobo25bobo3b2o21bo31b2o19bobo3b2o21bo31b2o58bobo7bobo3b2o21bo31b2o44b2o31bo21b2o3bobo\$102b2o112bobo23bo13bo59b2o16b2o14bo21bo3bo2bo11bobob2obo21b2o12bobo23b2o3bo21bo14b2o16b2o28b2o21bo2bo3bo13b2o6bo14b2o16b2o39bo18b2o16b2o14bo21bo3bo2bo23bo2bo3bo21bo14b2o16b2o18bo2bo3bo21bo14b2o16b2o58b2o7bo2bo3bo21bo14b2o16b2o33bo10b2o16b2o14bo21bo3bo2bo\$95b2o5bobo51b2o59b2o23b5o8bo5b2o71bobo12b2o21bob2obobo10b2obobobo36bo25bob2obo21b2o12bobo69bobob2obo12bo8b2o12bobo94bobo12b2o21bob2obobo23bobob2obo21b2o12bobo36bobob2obo21b2o12bobo85bobob2obo21b2o12bobo50bobo27bobo12b2o21bob2obobo\$95b2o7bo50bo2bo88bo13bo74bo36bobobob2o7bo2bob2o38b2o20bob2obobobo36bo70b2obobobo36bo98bo36bobobob2o21b2obobobo36bo37b2obobobo36bo86b2obobobo36bo52bo2bo28bo36bobobob2o\$104b2o48bob2o42b2o42b3o12bobo74b2o38b2obo2bo5b2o16b2o47b2obob2o38b2o44b2o22bo2bob2o38b2o98b2o38b2obo2bo17bo2bob2o38b2o35bo2bob2o38b2o74b2o8bo2bob2o38b2o53b2o29b2o38b2obo2bo\$154bo45b2o41bo15b2o120b2o24b2o136bo2bo21b2o100bo87b2o17b2o16b3o61b2o118bo2bo7b2o174b2o\$91bo61b2o88b4o66b2o91bo138bobo119b3ob2o2b2o122bo181bobo\$90bobob2o145b2o3bo3b2o60bo2bo94b2o38b2obob2o65b2o22bo90b2o28b4o4b2o16b2o103bo47b2o80b2o52bo76b2o35b2o3b2o\$90bobobobo43bo26b2o71bo2b3o4b2o60bobo2bob2o38b2o49bo36bobobob2obo20b2o38b2obo2bo68b2o38b2obo2bo32b2o20bo2bob2o14bo23b2o61b2o38b2obo2bo35b2o38b2obo2bo21b2o61b2o38b2obo2bo35bobo2bo2bob2o38b2o6bo\$87b2obobobobo2bo39bobo3b2o21bo21bo9b2o38b2obo69b2ob2obobobo36bo47bobo12b2o21bob2obo25bo36bobobob2o70bo36bobobob2o58b2obobobo12b2o22bo61bo36bobobob2o37bo36bobobob2o22bo2bo4b2o54bo36bobobob2o39bo4b2obobobo36bo5b2o\$87bo2bo2b2ob4o38bo2bo3bo21bo14b2o4b2o10b2o41bo72bo2bob2obo21b2o12bobo27b2o16b2o14bo21bo3b2o23bobo12b2o21bob2obobo69bobo12b2o21bob2obobo60bobob2obo10b2o9b2o12bobo57bobo12b2o21bob2obobo36bobo12b2o21bob2obobo23bobo5b2o23bobo26bobo12b2o21bob2obobo26b2o12b2o4bobob2obo21b2o12bobo3bobo\$89b2o4bo42bobob2obo21b2o12bobo5b2o52b2o71bobobo3bo21bo14b2o16b2o9b2o31bo23b2o8b2o16b2o14bo21bo3bo2bo29b2o20b2o16b2o14bo21bo3bo2bo60bo2bo3bo21bo14b2o16b2o21b2o16b2o14bo21bo3bo2bo18b2o16b2o14bo21bo3bo2bo24bo34bo7b2o16b2o14bo21bo3bo2bo25bo2bo4b2o11bo2bo3bo21bo14b2o16b2o\$73b2o20bobo39b2obobobo36bo132bobobobo3b2o21bo31b2o42b2o24b2obo4b2o31bo21b2o3bobo26b4o4b2o16b2o31bo21b2o3bobo62bobo3b2o21bo31b2o21b2o31bo21b2o3bobo19b2o31bo21b2o3bobo32bo23bo4bo2b2o2b2o31bo21b2o3bobo26bobo4bo2bo11bobo3b2o21bo31b2o\$74bo21b2o37bo2bob2o38b2o132b2o3bo26b2o101bob2o37b2o26bo27b3ob2o2b2o49b2o26bo64bo26b2o87b2o26bo53b2o26bo21b2o9bobo22b2obo2bob2o35b2o26bo28bo5bo15bo26b2o\$72bo7b2o3b2o6bo41b2o95b2o7b2o8b2o184b2o112bo349bo45bo9bo2bo25b2o102bo\$70b4o6b2o3b2o5bobo137b2o7b2o9bo18bo60b2o56b2o45bo66b2o113b2o90b2o115b2o70bo9b2o32b3o11bo2bo79b2o36b2o9bob2o25b2o\$45bo23bo23bo108b2o45b3o19b3o18b2o16b2o21bo45b2o9b2o42b2obo19b2o45bo67b2o45bo92bo45b2o21b2o45bo34b2o35b3o7bo33bo49b2o45bo38bo11b2o26bo45b2o\$43b2o23bo2b3o83b2o38b2obo2bo45bo24bo18bo15bo2bo20bob2o42b2o52bo2bo20b2o42b2obo67b2o42b2obo66b2o24bob2o42b2o21b2o42b2obo34b2o42b2obo47bo2bo32b2o42b2obo2b2o31b3o40bob2o42b2o\$44b2o23b2o2bo83bo36bobobob2o71b2o18bobo13bobo22bo2bo96b2o64bo2bo111bo2bo67bo26bo2bo107bo2bo78bo2bo48b2o77bo2bo4bo31bo43bo2bo\$71b2o75b2o5bobo12b2o21bob2obobo93b2o14bo24b2o82b2o80b2o113b2o66bobo27b2o109b2o80b2o129b2o5bobo43b2o29b2o\$71bo65b2o10b2o4b2o14bo21bo3bo2bo149b2o67b2o65b2o113b2o81b2o43b2o79b2o80b2o129b2o21b2o43b2o44b2o\$72bo12bo51b2o9bo21bo21b2o3bobo7b2o21b3o9b3o105b2o134b2o113b2o126b2o79b2o80b2o129b2o112b2o\$69b3o12b3o83b2o26bo9bo24bo7bo56b2o91bo\$69bo14bo2bo120bobo19bo3bo5bo3bo52bo2bo13b2o63bo10bobo65bo114bo106b2o76bo23bo81bo130bo56bo113bo\$82b2o2b3o9b2o84b2o23b2o19bo13bo53bobo9b4o4b2o58bobo10bo14b2o3bo45bobo112bobo76b2o26bo2bo74bobo21bobo79bobo128bobo53b2obo111bobo\$82b3o2bo10bo38b2o45bo44b2o4bo3bo4b2o37b2o14bo10b3ob2o2b2o39bo3b2o14bo26bo3bobo45bo14b2o3bo94bo14b2o3bo57b2o26bobo56bo3b2o14bo23bo14b2o3bo61bo14b2o3bo110bo14b2o3bo37bo92bo3b2o14bo\$81b2o2b2o12b3o35b2o42b2obo15b2o27b2o4bo3bo4b2o30b2o5bobo29bo19b2o21bobo3bo42bo3bobo59bo3bobo108bo3bobo71bo13bo56bobo3bo53bo3bobo75bo3bobo124bo3bobo33b3o92bobo3bo\$81b3o17bo78bo2bo16bo2bo9b2o15bo13bo31b2o7bo49b2o20bobo3bo44bo3bobob2o56bo3bobo108bo3bobo68b3o69bobo3bo55bo3bobo75bo3bobo124bo3bobo126bobo3bo\$81bob4o94b2o3bo25bo2bo14bo3bo5bo3bo40b2o34bo31b2obobo3bo37b2o4bob4o2bob2o57bo3bobob2o105bo3bobob2o50b3o10bo68b2obobo3bo57bo3bobob2o72bo3bobob2o121bo3bobob2o118b2obobo3bo\$81b2o2b2o99b3o11bo2bo9bobo17bo7bo52b2o25b3o12bo16b2obo2b4obo4b2o29bobo2bobo3bobo53b2o4bob4o2bob2o97b2o4bob4o2bob2o50b2o11b2o67b2obo2b4obo4b2o41b2o4bob4o2bob2o64b2o4bob4o2bob2o113b2o4bob4o2bob2o118b2obo2b4obo4b2o\$66bo15b2o10b2o2b2ob2o86bo9bo2bo11bo15b3o9b3o27bo17b2obo2bob2o24bo10bobo19bobo3b2o3bobo31b4o2bo2bob2ob2o49bobo3b2o3bobo101bobo3b2o3bobo57b2o29b2o50bobo3b2o3bobo41bobo3b2o3bobo68bobo3b2o3bobo117bobo3b2o3bobo28b2o96bobo3b2o3bobo\$64b3o27bobo2bobobo61b3obo18b2o9bobo69bobob2o13bo4bo2b2o23b2o9bo2bo15b2ob2obobo6bo33bo2bo3bobo2bobo52bo6bobob2ob2o99bo6bobob2ob2o52b3o4bo20b4o4b2o42b2ob2obobo6bo45bo6bobob2ob2o66bo6bobob2ob2o115bo6bobob2ob2o20b2o4b4o88b2ob2obobo6bo\$63bo15b2o16b2o2bobo34bo31bo29bo70bobobobo16bo38bo2bo17bobo3bob3o2b2o34b2o5bo2bo2bo10b2o40b2o2b3obo3bobo100b2o2b3obo3bobo52bobo4bobo19b3ob2o2b2o43bobo3bob3o2b2o45b2o2b3obo3bobo67b2o2b3obo3bobo116b2o2b3obo3bobo21b2o2b2ob3o89bobo3bob3o2b2o10bo\$62bobo15bo9bo7bobobo34bobo26bo3bo22bo74b2obobobobo2bo10bobo34bo13b2o10bobo4bo2bo49b2o11b2o44bo2bo4bobo10b2o92bo2bo4bobo10b2o40b2o4bo2bo24bo35b2o10bobo4bo2bo53bo2bo4bobo10b2o59bo2bo4bobo10b2o108bo2bo4bobo10b2o13bo82b2o10bobo4bo2bo15b2o\$62bobo12b3o11bo3bo2bo2bo36bo14b2o3bo9b2o22bobo5b2o7b2o57bo2bo2b2ob4o46bobo3bo2bo5b2o11bo6b2o110b2o6bo11b2o93b2o6bo11b2o47b2o61b2o11bo6b2o55b2o6bo11b2o60b2o6bo11b2o109b2o6bo11b2o96b2o11bo6b2o15b2o\$63bo13bo11b3o2bobob3o52bo3bobo32bo2bo4b2o3b2o2b2o2b2o55b2o4bo50bo2bo4b2o49bobo25b2o\$95bobo56bo3bobo32b2o10bobo2bo2b2o17b2o7b2o33bobo49b2o56b2o26b2o361bo\$96bo2b2o54bo3bobob2o41b3o23b2o7b2o34b2o108bo389bobo\$97b2ob3o44b2o4bob4o2bob2o42b2o421b4o143b2o99b4o\$103bo43bobo3b2o3bobo468bo3bo243bo3bo\$7b2o5b2o31b2o48b2ob3o35bobo8bo6bobob2ob2o79b2o35b2o350bo247bo\$8bo5b2o31b2o48b2obo37b2o9b2o2b3obo3bobo80bo36bobo63bo215bobo63bo2bo244bo2bo\$8bobo128bo13bo2bo4bobo10b2o42b2o22bobo38bo4b2o55b3o215b2o327b2o\$9b2o78b2o63b2o6bo11b2o41bo2bo21b2o35b4ob2o2bo2bo52bo44bobo172bo324b3ob2o\$13b2o53bob2o17b2o101b2o22b2o61bo2bobobobob2o52b2o44b2o14b2o26bo34b2o17b2o95b2o302b5o\$12bobo53b2obo82b2o36b2o21b3o5bo58bobobobo33b2o66bo15bo27b3o32b2o18bo95bobo61bo240b3o\$13bo141bo59bo2bo3bobo12b2o44b2obobo32bo2bo4b2o73bobo30bo46bo4bobo95bo4b2o53b2o\$9bo69bob2o70bo7b2o3b2o6bo17bo23b3o3b2o12bobo48bo33bobo5b2o21b2o7b2o5b2o34b2o30b2o44b3o5b2o91b4ob2o2bo2bo52b2o4bo324bo\$60b2o17b2obo68b4o6b2o3b2o5bobo15bobo42bo55bo29bo30bo8bo5b2o98b3o10bo101bo2bobobobob2o56b2o324bo\$7b3obo48b2o88bo23bo16bo2bo21b3o3b2o13b2o34b2o17b3o58bob2o5bobo44b2o57b2o11b2o103bobobobo60b2o323b3o\$6bob2o139bo2b3o37bo2bo19bo2bo3bobo13bo14b2o19bo7b2o11bo21b2o9b2obo13b2o4b3o2bo6b2o35b2o8bo60b2o21b2o91b2obobo\$6b2obo40bob2o48b2o46b2o2bo5b3o8bo43b3o5bo29b2o19bobo5b2o10bobo21bo10bobo13b2o3bo3b2o11b2o30bo2bo4b3o27b3o30b3o4bo15bo2bo94bo\$4bob3o39b3ob2o48b2o48b2o4bo3b2o2bo3bo4bo16bo2bo20b2o50bo6b2o17bobo18b3o12bo19b4o12bobo30bobo5bo31bo29bobo4bobo15bobo\$47bo104bo5bo5bo2b2o6b2o15b2o23bo2bo18b4o23b3o26bo19bo13b2o5b2o15bo9bo3bo32bo36bobo29b2o4bo2bo16bo81b2o301b6o\$6bo41b3ob2o62bo36bo4bo3b2o2b5obo3b2o40b2o18bo7b2o4b2obo9bo63b2o4bobo12b3o10b2o73b2o6b2o28b2o100bo7b2o291bo5bo\$50b2o2bo59b3o33b3o6bo7b2obo2b4o21bo5bo33bo3b2o2b2o5bobo9b2o62b2o4bo13bo12b2obo73b2o5bobo129bobo5b2o297bo\$53bobo57bo36bo9b2o3bo2bobo2b2o22b3o3b3o33bo2b2o10bo79b2o14b5o6bo2b3o58b2o12b2o7bo55bo74b2o298bo4bo\$50b3obobo16bo13bo24bobo49bo4bo9b2o15bobobobobobo46b2o6bo92bo5bobobo36b4o20bobo20b2o40b2o10bobo376b2o\$49bo2bo2bo15b3o12bobo23bobo64bo15b2obobobobob2o45b2o5bobo47b2o40bo6bobobo36bo7b2o17bo58b2obo2bob2o7b2o15b2o116b3o\$48bobobo17bo15bobo24bo66b3o12bob4ob4obo45b2o4bo2bo22b2o23b2o40b2o3b3o2bo37bo3b2o2b2o9bo7b2o6bo50bo4bo2b2o24bo119bo\$47bobo2b2o16b2o15bo94bo12b5o3b5o52b2o23bo37bo34bob2o39bo2b2o12b3o13bobob2o50bo27bobo10b2o5b2o99bo350b2o24b2o38b2o104b2o45b2o\$47bobobo2bobo27b3o199b3o34b3o33b2o56b2o2bo12bobobobo46bobo28b2o12bo5b2o450b2o24bobo36bob3obo14bo85b2o45bo\$48b2ob2o2b2o27bo202bo2bo35bo33bo55bob4o9b2obobobobo2bo88bobo441bo25bo14b3o35bobo3bo12b3o100bo29bobo\$147bo27b2o2b2ob2o15b2ob2o39b2o40bo3b2o34b2o89bobo12bo2bo2b2ob4o89b2o54b2o385b3o23b3o13b2o34b2obobo2bo10bo34b2o29b2o21bo12b3o29b2o\$97b2o11bo34b3o27bobo2bobobo13bobobobo39bo40b2o46bo82b3o14b2o4bo74b2o21b2o50bo357b2o30bo9bob2o12bo9b2o40b2o3bo10b2o33bo29bo2bo19bobo10bo\$49bo47b2o10bobo32bo15b2o16b2o2bobo14bo3bo40bobo85bo106bobo71bo2bo19bobo51b3o355bo29b2o9bobo12b2o9b3o36b3o3bo45bobo29bo15bo6bo2bo9b2o\$49b3o56bo3bo30bobo15bo17bobobo61b2o50b2o18b2o13b3o79b2ob2o21b2o71bobo21bo54bo145bo209bobo39bo63bo2b2obo8bo36b2o30bo13b3o7bo2bo37b2o\$52bo55bo3bo30bobo12b3o15bo2bo2bo114b2o18bo96b5o10bo84bo222bobo209b2o32bo6b2o17bo45bo5bo2bo3bobo67bob2o9bo18bo31bo2bo\$51b2o55b2ob2o5bob2o22bo13bo16bobob3o132b2obo95bo2b3ob3o4b3o102b3o203bo243bobo5b2o16bobo5b2o34b3o2b2obo6bo2bo69b2o9b2o9bo2bo3bobo30bobo\$81bo36b2obo54bobo70b2o54b2obo5bo2b3o4b2o82b2ob4o11bo11bo93b3o447bo2bo4b2o16bo2bo4b2o34bo2b2o3bo7b2o32b2o58b2o4bo2bo31bo\$79b3o95bo2b2o66bo2bo53b2ob3o4b2o3bo3b2o82bob2o2b2o10b2o8b3o93b3o418b2o28b2o24b2o42bo3b2o3bo38bo2bo42bo21b2o\$78bo99b2ob3o9b2o7b2o45bobo59bo5b4o114bo15b2o65b2o9b3o86bo333bo2bo98b2obobo2bo38bobo35b2o5bobo\$79bo104bo8b2o7b2o46bo54b2ob3o6bo15b2o100b2o15bo61b2o2b2o2b2o5b3o84b3o118b2o214bobo99bobo3bo40bo36b2o4bo2bo\$78b2o48b2o10b3o35b2ob3o120bo2b2o9b3o12bobo115bo62b2o2bo2bobo5b3o83bo121b2o215bo100bob3obo84b2o59b2o\$77bo2b2o46b2o9bo3bo34b2obo121bobo15bo13bo115b2o67b3o40bo51b2o439b2o145b2obo2bob2o\$77b3o2bo17bob2o34bo5bo140bo16bobob2obo6b5o14b2o76b2o105b2o39b3o178b2o4b2o453b2o2bo4bo\$57bo23bo16b3ob2o34bo5bo97bo2b2o38b3o15bo2bob2o6bo96b2o50b2o93bo181b2o4b2o356b2o100bo\$56bobo5b2o3b2o6b4o16bo40b3ob3o4bob2o40bo9bo37bo3b2o2b2o37bo17bo11bo146bo94b2o388bo151b2obo2bob2o97bobo\$57bo6b2o3b2o7bo19b3ob2o45b2obo39bobo7bobo36bo7b2o36b2o16b2o10b2o143b2obo414b2o63b3ob2o2b2o147b2o2bo4bo\$76bo23b2o2bo87bo2bo5bo2bo37b4o14b2o40bobo2b2o152bo2bo33b2o242b2o3b3o130b2o22bo40b4o4b2o152bo\$76b2o25bobo54bob2o29b2o7b2o55bo2bo4b2o33b2o2bo2bo101bob2o47b2o27b2o4bo2bo215bo2b2o21b2o3b2o146bo8bobo42b2o157bobo\$99bob2obobo53b2obo4b3ob3o17bo11bo47b2o5bobo5b2o38b2o100b3ob2o32b2o42bo2bo3bobo104b2o108bo3b2o2b2o25b2o141b3o8b2o\$99b2obo2bo16b2o44bo5bo77bo7bo147bo13b2o23b2o50bo104bobo5b2o101bo7b2o24b3o127b2o11bo178b2o40b2o\$102bo19bo45bo5bo75bobo156b3ob2o8bo67bo2bo109bo7b2o102b4o28bobo128b2obo9b2o176bo4bo37b2o\$102b2o16bobo8bob2o34bo3bo9b2o7bo11bo45b2o3b2o9b3o142bobo6b3o67bo2bo9b2o45b2o51b2o143b2o132bo187bobobob2o50bo\$100b2o2bobo13b2o7b3ob2o35b3o10b2o8b2o7b2o52bo9b2o143bobo6bo69bobo10bo45bobo5b2o323bo5bo180b2obo3b2o48b3o\$99bo2bo2b2o21bo63bo2bo5bo2bo48b3o13b2o141bo21b2o3bo51bo12b3o42bo7b2o58bo261bo2bo4bobo80b2o24b2o70bo3b3obo35b2o11bo30b2o24b2o\$100b2o27b3ob2o57bobo7bobo41b2o5bo14b3o14bo148bo3bobo65bo41b2o63b2obobo96bo164b2o4bo2bo79bo2bo4b2o16bo2bo4b2o62bo2b2o4bo6b2o27b2obo9b2o22b2o4bo2bo16b2o4bo2bo\$131b2o2bo57bo9bo41bo2bo18bobo13b2ob2o147bo3bobo49b2o119bobobobo95bobo170b2o80bobo5b2o16bobo3bo2bo62b3o2bob3o5bo2bo29bo33b2o5bobo16b2o5bobo\$134bobo108bobo19b2o10b3ob2o4b4o7b2o134bo3bobob2o45b2o69bo46bo2bobobobob2o92bo2bo252bo25bo73b2o3b2o6bobo29bo5bo35bo17b2o6bo\$26bo104b3obobo16bo13bo77bo32b4o6bo10b2o132bob4o2bob2o112b2obobo45b4ob2o2bo2bo93b2o284bo2bo64bo2bob3o7bo27bo2bo4bobo53bo\$24b3o83b2o18bo2bo2bo15b3o12bobo113bo6bo142bobo3bobo115bobobobo49bo4b2o345b2o9b2o13b2o9bo2bo63b3o4bo36b2o4bo2bo26b3o9b2o12bobo9b2o\$23bo87b2o17b2obo17bo15bobo113bo6bo142bobo2bo2b2ob2o108bo2bobobobob2o44bobo352bo9b2obo12bo10bobo66b3obo11b2o30b2o28b2o9bo12b2obo9bo\$22bobo56b2o24b2o4bo19b2o16b2o15bo24b2o7b2o84bo2bo9b2o131bo3b2o2bobo109b4ob2o2bo2bo44b2o106b2o242b3o13bo9b3o12bo64b2obo3b2o10bo58b2o13b3o23b3o\$22bobo56bo24bo6b2o15b3o2bobo27b3o25b2o7b2o46bo37b2o11bo140bobo10b2o101bo4b2o154bobo241bo15bo9bo80bobobob2o11b3o55b3o14bo25bo\$23bo55bobo24b3ob2obo4bobo8bo3bo2b2o27bo54b2o24b2o2b2ob3o34bo11b3o138bo11b2o99bobo162bo254bo2bo23b2o65bo4bo15bo56bobo24b2o\$79b2o26bo9bo2bo8b4o88bo24b2o4b4o48bo251b2o163b2o254b2o24b2o66b2o76b2o24b2o\$109bo7bo3bo99bobo26b2o864bo\$103b2o4b2o6bo2bo6b4o91b2o673b2o217bobo\$75b2o27bo13b3o5bo3b3o391bo2bo244bo2bo120b2o122bo2bo92b2o3bo\$7b2o65bo2bo23b3o22b2o5bo394bo3bo2bo240bo3bo2bo114bo125bo3bo2bo22b2o65bobo\$7b2o65bobo24bo30b2o9bo4bo77b2o289b2o5bo3bo7bo228b2o5bo3bo7bo228b2o5bo3bo7bo19b2ob2o64b2o\$75bo62b2o2bobo2bo3b2o9bo62bo2bo49b4o231b4ob2o5b4o3bo3bo224b4ob2o5b4o3bo3bo224b4ob2o5b4o3bo3bo19b4o\$136b4o2bob2o7bo6b3o63bobo48bo4bob2o227b6o14b4o224b6o14b4o224b6o14b4o20b2o\$28bob2o103b2o3bob5o2b2o3bo4bo12bo3bo11bo3bo34bo49bo4bo3bo227b4o244b4o244b4o\$28b2obo45b2o57b2o6b2o2bo5bo5bo10bobobobo9bobobobo86b2o4bo\$76b3o28bo29bo4bo3bo2b2o3bo4b2o9bo2bobo2bo9b2ob2o84b2o4bo2bo504b2o246b2o\$75bobo2bo2b2o22b3o31bo8b3o5bo2b2o6b2ob2ob2ob2o44bobo15bo33bo2bo3bo2bo3b2o496b3ob2o43b3o196b3ob2o\$20b2o53b2o2b2o2b2o25bo47b3o2bo4bo3bo3bo3bo42bo16bobo33bo2bo4b2o3bobo496b5o44bo198b5o\$20bo58b2o28b2o27bo23bo4bo2bob2ob2obo2bo2b2o9b2o21b2o2bo4bo13b2o33bo4b2o7bo498b3o46bo198b3o\$21bo115bobo5b2o3b2o6b4o8bo7bo5bob4ob4obo21b2obo2bob2o48bo3bo4bo\$10bob2o124bo6b2o3b2o7bo12b2ob2o8bo3bobo3bo26b2o53b2obo4bo\$8b3ob2o5bo137bo9bo5bobo5bo3bo3bobo3bo85b4o\$7bo14bo134b2o9b2ob2o3b2ob2o5b3o3b3o\$8b3ob2o5bo2bo\$10bobo8b3o17b2o46bo4b2o\$10bobo8b3o18bo45bobo3b2o48bo123bo247bo247bo247bo\$11bo8bo2bo18bobo25b2o17bo52bo3bo119bo3bo243bo3bo243bo3bo243bo3bo23b2o\$20bobo20b2o25b2o75bo123bo10b5o232bo10b5o232bo10b5o232bo10b5o3b4ob2o\$20b3o62bo56bo4bo118bo4bo9bo4bo227bo4bo9bo4bo227bo4bo9bo4bo227bo4bo9bo4bo3b6o\$83b3o11b2o2b2o40b5o119b5o14bo228b5o14bo228b5o14bo228b5o14bo4b4o\$47b2o20b2obo9bo14b2o2b2o178bo3bo243bo3bo243bo3bo243bo3bo\$46bo2bo20bobo9b2o30b2o167bo247bo247bo247bo\$20b2o25bobo21bo42b2o\$20b2o26bo21b2o6bo\$70b2o5bobo21b2o\$70b2o4bo2bo17b4o4b2o\$77b2o18b3ob2o2b2o\$44b4o54bo\$39b2o7bo\$39b2o2b2o3bo\$43b2o2bo190b2o246b2o246b2o246b2o\$236bo4bo242bo4bo242bo4bo242bo4bo\$242bo247bo247bo247bo\$236bo5bo241bo5bo241bo5bo241bo5bo\$65bo171b6o242b6o242b6o242b6o\$66bo165b2o78b2o166b2o246b2o246b2o102b2o\$64b3o162b3ob2o78b2o162b3ob2o242b3ob2o242b3ob2o102b2o\$229b5o78bo164b5o243b5o243b5o102bo\$9b2o219b3o245b3o245b3o245b3o\$9bobo373b2o\$10bo373b2o\$288b2o96bo\$28b2o11bo6b2o60b2o6bo11b2o54b2o11bo6b2o79b3o47b2o11bo6b2o46b2o6bo11b2o45b2o6bo11b2o126b2o11bo6b2o15bo52b2o11bo6b2o67b2o11bo6b2o70b2o6bo11b2o46b2o6bo11b2o55b2o11bo6b2o37b2o6bo11b2o71b2o6bo11b2o\$28b2o10bobo4bo2bo58bo2bo4bobo10b2o54b2o10bobo4bo2bo77bobo2bo2b2o41b2o10bobo4bo2bo44bo2bo4bobo10b2o44bo2bo4bobo10b2o126b2o10bobo4bo2bo14b2o51b2o10bobo4bo2bo66b2o10bobo4bo2bo68bo2bo4bobo10b2o45bo2bo4bobo10b2o55b2o10bobo4bo2bo35bo2bo4bobo10b2o70bo2bo4bobo10b2o\$40bobo3bob3o2b2o50b2o2b3obo3bobo78bobo3bob3o2b2o73b2o2b2o2b2o53bobo3bob3o2b2o36b2o2b3obo3bobo52b2o2b3obo3bobo150bobo3bob3o2b2o9bobo63bobo3bob3o2b2o74bobo3bob3o2b2o60b2o2b3obo3bobo53b2o2b3obo3bobo79bobo3bob3o2b2o27b2o2b3obo3bobo78b2o2b3obo3bobo\$11bo3b2o22b2ob2obobo6bo21bobo2bobo21bo6bobob2ob2o76b2ob2obobo6bo77b2o56b2ob2obobo6bo36bo6bobob2ob2o51bo6bobob2ob2o148b2ob2obobo6bo74b2ob2obobo6bo73b2ob2obobo6bo60bo6bobob2ob2o52bo6bobob2ob2o77b2ob2obobo6bo27bo6bobob2ob2o77bo6bobob2ob2o\$9b2obo30bobo3b2o3bobo17b2o2b4o2b2o17bobo3b2o3bobo84bobo3b2o3bobo137bobo3b2o3bobo32bobo3b2o3bobo53bobo3b2o3bobo156bobo3b2o3bobo76bobo3b2o3bobo75bobo3b2o3bobo56bobo3b2o3bobo54bobo3b2o3bobo85bobo3b2o3bobo23bobo3b2o3bobo79bobo3b2o3bobo\$9b3o27b2obo2b4obo4b2o11b2o5b2o6b2o5b2o11b2o4bob4o2bob2o76b2obo2b4obo4b2o133b2obo2b4obo4b2o32b2o4bob4o2bob2o49b2o4bob4o2bob2o148b2obo2b4obo4b2o72b2obo2b4obo4b2o71b2obo2b4obo4b2o56b2o4bob4o2bob2o50b2o4bob4o2bob2o77b2obo2b4obo4b2o23b2o4bob4o2bob2o75b2o4bob4o2bob2o\$8bo6bo23b2obobo3bo19b2o6bo6bo6b2o19bo3bobob2o76b2obobo3bo141b2obobo3bo48bo3bobob2o57bo3bobob2o148b2obobo3bo80b2obobo3bo79b2obobo3bo72bo3bobob2o58bo3bobob2o77b2obobo3bo39bo3bobob2o83bo3bobob2o\$7bo2bobobobo26bobo3bo60bo3bobo84bobo3bo82b2o2b2o56bobo3bo46bo3bobo60bo3bobo156bobo3bo83bobo3bo82bobo3bo70bo3bobo61bo3bobo85bobo3bo37bo3bobo86bo3bobo\$8b3obob2o28bobo3bo58bo3bobo86bobo3bo81b2o2b2o57bobo3bo44bo3bobo60bo3bobo158bobo3bo83bobo3bo82bobo3bo68bo3bobo61bo3bobo87bobo3bo35bo3bobo86bo3bobo\$34bo10bo3b2o14bo28bo14b2o3bo88bo3b2o14bo130bo3b2o14bo14bo14b2o3bo46bo14b2o3bo160bo3b2o14bo69bo3b2o14bo68bo3b2o8bo5bo38bo14b2o3bo47bo14b2o3bo89bo3b2o14bo5bo14b2o3bo72bo14b2o3bo\$8b3obob2o17bo30bobo26bobo126bobo148bobo12bobo64bobo198bobo87bobo80b3o3bobo36bobo65bobo127bobo3bobo90bobo\$7bo2bobobobo16b2obobo26bo28bo128bo79bo70bo14bo66bo200bo89bo80bo2b2o3bo38bo67bo129bo5bo92bo\$8bo6bo21bo71bo2bo184b2o3bobo47bobo126b2o4bo340bo3bo\$9b3o25bo70bo3bo9b2o70b2o101b2o4bo41b2o9bobo58b2o61bobo145b2o88b2o87b2o21bobo70b2o66b2o71b2o61b2o91b2o\$9b2obo55b2o6bo6bo6b2o16bo4bo8b2o70b2o149b2o11bo58b2o60b2obo145b2o88b2o87b2o94b2o66b2o71b2o61b2o91b2o\$11bo3b2o4b2o45b2o5b2o6b2o5b2o16bo4bo23b2o40b2o149b2o20bo3bobo73b2o46b2o17b2o112b2o88b2o87b2o33b2ob2o86b2o66b2o41b2o91b2o91b2o\$20bo2bo50b2o2b4o2b2o23bo3bo22bo2bo38bo2bo126bo20bo2bo19bob2o75bo2bo46bo16bo2bo110bo2bo86bo2bo85bo2bo34b3o85bo2bo64bo2bo39bo2bo89bo2bo89bo2bo\$19bob2o42b2o9bobo2bobo9b2o15bobo24b2obo36bob2o42b2o78b3ob2o2b2o15bob2o42b2o12b2o42b2obo19b2o42b2obo108bob2o42b2o42bob2o42b2o41bob2o37b2o3b2o36b2o42b2obo20b2o42b2obo37bob2o42b2o3b2o42b2obo45b2o42b2obo\$19bo45b2o26b2o45bo36bo45b2o78b4o4b2o15bo45b2o12b2o45bo19b2o45bo108bo45b2o42bo45b2o41bo40bo4b2o36b2o45bo20b2o45bo37bo45b2o3b2o45bo45b2o45bo\$18b2o120b2o34b2o129b2o18b2o106b2o65b2o106b2o88b2o87b2o130b2o66b2o35b2o97b2o91b2o\$152bob2o160bo512bo103bob2o64bob2o7b2obo\$5bo26b2o92b2o24b2obo7bo26b2o122b3o24b2o78b2o26bo38b2o26bo80bo26b2o61bo26b2o60bo26b2o23b3o76b2o24b2obo38b2o24b2obo7bob2o24b2o69b2o26bo64b2o26bo\$4bobo3b2o21bo31b2o26b2o31bo23b2o10bobo3b2o21bo31b2o86bobo3b2o23bo31b2o12b2o31bo21b2o3bobo4b2o31bo21b2o3bobo78bobo3b2o21bo31b2o27bobo3b2o21bo31b2o26bobo3b2o21bo23bo7b2o36b2o31bo23b2o9b2o31bo23b2o15b2o23bo31b2o3b2o31bo21b2o3bobo30b2o31bo21b2o3bobo\$3bo2bo3bo21bo14b2o16b2o26b2o16b2o14bo21bo3b2o6bo2bo3bo21bo14b2o16b2o78b2o2b2o2b2ob2o3bo21bo14b2o16b2o12b2o16b2o14bo21bo3bo2bo3b2o16b2o14bo21bo3bo2bo76bo2bo3bo21bo14b2o5bo10b2o26bo2bo3bo21bo14b2o16b2o25bo2bo3bo21bo14b2o9b2ob2o2b2o36b2o16b2o14bo21bo3b2o6b2o16b2o14bo21bo3b2o9b2o3bo21bo14b2o16b2o3b2o16b2o14bo21bo3bo2bo29b2o16b2o14bo21bo3bo2bo\$3bobob2obo21b2o12bobo62bobo12b2o21bob2obo6bobob2obo21b2o12bobo96b2o2b2o5bob2obo21b2o12bobo48bobo12b2o21bob2obobo21bobo12b2o21bob2obobo76bobob2obo21b2o12bobo3b2o39bobob2obo21b2o12bobo43bobob2obo21b2o12bobo10bobo59bobo12b2o21bob2obo24bobo12b2o21bob2obo9bob2obo21b2o12bobo39bobo12b2o21bob2obobo47bobo12b2o21bob2obobo\$2b2obobobo36bo66bo36bobobob2o2b2obobobo36bo106b2obobobo36bo52bo36bobobob2o22bo36bobobob2o74b2obobobo36bo6b2o37b2obobobo36bo44b2obobobo36bo13bo62bo36bobobob2obo21bo36bobobob2o3b2obobobo36bo43bo36bobobob2o48bo36bobobob2o\$o2bob2o38b2o66b2o38b2obobo2bob2o38b2o105bobob2o38b2o52b2o38b2obo2bo20b2o38b2obo2bo70bo2bob2o38b2o43bo2bob2o38b2o42bo2bob2o38b2o76b2o38b2obob2o21b2o38b2obobobobob2o38b2o43b2o38b2obo2bo46b2o38b2obo2bo\$2o156b2o135bo14bo92bobo47b2o65b2o70b2o88b2o87b2o234bobo66bo66b2o91b2o\$158bo135bobo3b2o7b2o93b2o601bobo65bobo\$67b2o22b2o66bo65b2o68bo4b2o74b2o8b2o16bo48b2o204b2o88b2o87b2o32b2o66b2o66bo66bobo91b2o\$22b2o38b2obo2bo22bo2bob2o38b2o20b2o20b2o38b2obo2bo104b2o38b2obo2bo8bo2bob2o38b2o20bo2bob2o38b2o114b2o38b2obo2bo43b2o38b2obo2bo42b2o38b2obo2bo32bo2bob2o38b2o21bo2bob2o38b2o43b2o38b2obobobobob2o38b2o46bo2bob2o38b2o\$22bo36bobobob2o26b2obobobo36bo42bo36bobobob2o106bo36bobobob2o12b2obobobo36bo22b2obobobo36bo114bo36bobobob2o45bo36bobobob2o44bo36bobobob2o36b2obobobo36bo23b2obobobo36bo43bo22bobo11bobobob2o3b2obobobo36bo48b2obobobo36bo\$20bobo12b2o21bob2obobo28bobob2obo21b2o12bobo38bobo12b2o21bob2obobo105bobo12b2o21bob2obobo14bobob2obo21b2o12bobo21bobob2obo21b2o12bobo110bobo12b2o21bob2obobo44bobo12b2o21bob2obobo43bobo12b2o21bob2obobo38bobob2obo21b2o12bobo22bobob2obo21b2o12bobo39bobo12b2o8b2o11bob2obo9bob2obo21b2o12bobo47bobob2obo21b2o12bobo\$2b2o16b2o14bo21bo3bo2bo28bo2bo3bo21bo14b2o16b2o2b2o16b2o14bo21bo3bo2bo87b2o16b2o14bo21bo3bo2bo14bo2bo3bo21bo14b2o16b2o3bo2bo3bo21bo14b2o16b2o74b2o16b2o14bo21bo3bo2bo26b2o16b2o14bo21bo3bo2bo25b2o16b2o14bo21bo3bo2bo38bo2bo3bo21bo14b2o16b2o4bo2bo3bo21bo14b2o16b2o3b2o16b2o14bo9bo11bo3b2o9b2o3bo21bo14b2o11bo4b2o29bo2bo3bo21bo14b2o10bo5b2o\$2b2o31bo21b2o3bobo30bobo3b2o21bo31b2o2b2o31bo21b2o3bobo88b2o31bo21b2o3bobo16bobo3b2o21bo31b2o4bobo3b2o21bo31b2o74b2o31bo21b2o3bobo27b2o31bo21b2o3bobo26b2o31bo21b2o3bobo40bobo3b2o21bo31b2o5bobo3b2o21bo31b2o3b2o31bo23b2o15b2o23bo24b2ob2o2b2o30bobo3b2o21bo24bo6b2o\$35b2o26bo32bo26b2o68b2o26bo122b2o26bo18bo26b2o38bo26b2o140b2o26bo61b2o26bo60b2o26bo42bo26b2o39bo26b2o18b3o48b2o24b2obo7bob2o24b2o20bo3b2o38bo26b2o24b2o\$990b2o77bob2o7b2obo46bo96b2o\$49b2o58b2o96b2o149b2o44b2o65b2o168b2o88b2o87b2o68b2o66b2o30b2obob2o60b2o35b2o40b3o48b2o38bo\$2b2o45bo60bo45b2o2b2o13bo3bo27bo103b2o45bo46bo45b2o19bo45b2o74b2o45bo42b2o45bo41b2o45bo70bo45b2o20bo30b4o2bo8b2o3b2o45bo37bo40bo4b2o45bo36bo3bo4b2o\$2b2o42b2obo60bob2o42b2o2b2o12b3obo2bo22b2obo103b2o42b2obo46bob2o42b2o19bob2o42b2o74b2o42b2obo42b2o20bo21b2obo41b2o42b2obo70bob2o42b2o20bob2o28bo4bo8b2o3b2o42b2obo37bob2o37b2o3b2o45bob2o32b2o8b2o\$45bo2bo62bo2bo59bobobo24bo2bo147bo2bo48bo2bo63bo2bo160bo2bo63b2o21bo2bo85bo2bo72bo2bo15b2o3b2o42bo2bo28b4o57bo2bo39bo2bo89bo2bo31b2o3bo\$46b2o64b2o66bo23b2o149b2o50b2o65b2o162b2o63b2o23b2o87b2o74b2o14b4o3bobo42b2o23bobo3b2o60b2o41b2o91b2o34b2o\$31b2o94b2o51b2o7b2o149b2o80b2o65b2o132b2o77bo11bo87b2o104bo2bo2bo3bo57b2o8b2o51b2o71b2o19b3o69b2o\$31b2o94b2o45bo3bobo8b2o149b2o80b2o65b2o132b2o78b5o5b2o87b2o104bo4bo3b2o57b2o9bo51b2o71b2o19bo2b2o67b2o\$178bobo523bo204bo3bo220b3o\$914bo220bo2\$18b2o3bo112bo3b2o34b2o3bo145b2o3bo98bo3b2o61bo3b2o106b2o3bo84b2o3bo83b2o3bo122bo3b2o62bo3b2o35b2o3bo89bo3b2o87bo3b2o\$18bo3bobo110bobo3bo34bo3bobo144bo3bobo96bobo3bo60bobo3bo106bo3bobo83bo3bobo82bo3bobo120bobo3bo61bobo3bo35bo3bobo87bobo3bo86bobo3bo\$19bo3bobo108bobo3bo36bo3bobo144bo3bobo94bobo3bo60bobo3bo108bo3bobo83bo3bobo82bo3bobo118bobo3bo61bobo3bo37bo3bobo85bobo3bo86bobo3bo\$20bo3bobob2o100b2obobo3bo38bo3bobob2o141bo3bobob2o86b2obobo3bo57b2obobo3bo110bo3bobob2o80bo3bobob2o79bo3bobob2o110b2obobo3bo58b2obobo3bo39bo3bobob2o77b2obobo3bo83b2obobo3bo\$18bob4o2bob2o100b2obo2b4obo34bob4o2bob2o139bob4o2bob2o86b2obo2b4obo55b2obo2b4obo106bob4o2bob2o78bob4o2bob2o77bob4o2bob2o110b2obo2b4obo56b2obo2b4obo35bob4o2bob2o77b2obo2b4obo81b2obo2b4obo\$9b2o7b2o3bobo108bobo3b2o7b2o16b2o7b2o3bobo134b2o7b2o3bobo94bobo3b2o7b2o50bobo3b2o7b2o88b2o7b2o3bobo73b2o7b2o3bobo72b2o7b2o3bobo118bobo3b2o7b2o51bobo3b2o7b2o17b2o7b2o3bobo85bobo3b2o7b2o76bobo3b2o7b2o\$9b2o10bobob2ob2o100b2ob2obobo10b2o16b2o10bobob2ob2o130b2o10bobob2ob2o86b2ob2obobo10b2o46b2ob2obobo10b2o88b2o10bobob2ob2o69b2o10bobob2ob2o68b2o10bobob2ob2o110b2ob2obobo10b2o47b2ob2obobo10b2o17b2o10bobob2ob2o77b2ob2obobo10b2o72b2ob2obobo10b2o\$18b3obo3bobo102bobo3bob3o34b3obo3bobo140b3obo3bobo88bobo3bob3o56bobo3bob3o106b3obo3bobo79b3obo3bobo78b3obo3bobo112bobo3bob3o57bobo3bob3o35b3obo3bobo79bobo3bob3o82bobo3bob3o\$18bo2bo4bobo10b2o78b2o10bobo4bo2bo34bo2bo4bobo10b2o128bo2bo4bobo10b2o64b2o10bobo4bo2bo44b2o10bobo4bo2bo106bo2bo4bobo10b2o67bo2bo4bobo10b2o66bo2bo4bobo10b2o88b2o10bobo4bo2bo45b2o10bobo4bo2bo35bo2bo4bobo10b2o55b2o10bobo4bo2bo70b2o10bobo4bo2bo\$19b2o6bo11b2o78b2o11bo6b2o36b2o6bo11b2o129b2o6bo11b2o64b2o11bo6b2o45b2o11bo6b2o108b2o6bo11b2o68b2o6bo11b2o67b2o6bo11b2o88b2o11bo6b2o46b2o11bo6b2o37b2o6bo11b2o55b2o11bo6b2o71b2o11bo6b2o!`
Iteration of sigma(n)+tau(n)-n [sigma(n)+tau(n)-n : OEIS A163163] (e.g. 16,20,28,34,24,44,46,30,50,49,11,3,3, ...) :
965808 is period 336 (max = 207085118608).
AbhpzTa

Posts: 467
Joined: April 13th, 2016, 9:40 am
Location: Ishikawa Prefecture, Japan

### Re: Interesting Fractal Pattern

AbhpzTa wrote:Sierpinski triangle generator:
`x = 1238, y = 230, rule = B3/S23104b2o199b2o224b2o113b2o36b2o251b2o129b2o\$104b2o162b2o34bob3obo14bo186bo14bob3obo93bo14bob3obo34bob3obo14bo213bo15bo4bo109bo14bob3obo\$119bo148bobo33bobo3bo12b3o186b3o12bo3bobo93b3o12bo3bobo34bobo3bo12b3o213b3o11b2obobobo109b3o12b2o4bo\$104bo12b3o150bo4b2o26b2obobo2bo10bo192bo10bo2bobob2o95bo10bo2bobob2o32b2obobo2bo10bo219bo10b2o3bob2o111bo13bobob2o\$68b2o33bobo10bo149b4ob2o2bo2bo27b2o3bo10b2o190b2o10bo3b2o97b2o10bo3b2o38b2o3bo10b2o217b2o11bob3o113b2o10b3ob2o\$67bobo33bo2bo9b2o148bo2bobobobob2o24b3o3bo218bo3b3o108bo3b3o32b3o3bo244bo4b3o122b3o3b3o\$66b3o14bo20bo2bo161bobobobo27bo2b2obo8bo200bo8bob2o2bo99bo8bob2o2bo32bo2b2obo8bo227bo7b3obo2bo115bo5b2o3b2o2bo\$66b2o13b3o28bo157b2obobo28bo5bo2bo3bobo96b2o11bo6b2o80bobo3bo2bo5bo99bobo3bo2bo5bo34bo5bo2bo3bobo225bobo6b2o3b2o115bobo4b3o3bobo\$69b2o9bo23bo2bo3bobo160bo26b3o2b2obo6bo2bo13b2o6bo11b2o61b2o10bobo4bo2bo44b2o11bo6b2o13bo2bo6bob2o2b3o61b2o11bo6b2o13bo2bo6bob2o2b3o28b3o2b2obo6bo2bo13b2o6bo11b2o73b2o11bo6b2o60b2o11bo6b2o13bo2bo5b3obo2b3o77b2o11bo6b2o13bo2bo3b2o3b2o2b3o46b2o6bo11b2o\$68b3o9b2o22b2o4bo2bo97b2o88bo2b2o3bo7b2o13bo2bo4bobo10b2o73bobo3bob3o44b2o10bobo4bo2bo13b2o7bo3b2o2bo61b2o10bobo4bo2bo13b2o7bo3b2o2bo28bo2b2o3bo7b2o13bo2bo4bobo10b2o73b2o10bobo4bo2bo59b2o10bobo4bo2bo13b2o6bo4b2o2bo77b2o10bobo4bo2bo13b2o5b3o3b2o2bo45bo2bo4bobo10b2o\$111b2o79bo14bob3obo46b2o40bo3b2o3bo16b2o2b3obo3bobo84b2ob2obobo10b2o47bobo3bob3o2b2o16bo3b2o3bo74bobo3bob3o2b2o16bo3b2o3bo30bo3b2o3bo16b2o2b3obo3bobo97bobo3bob3o71bobo3bob3o2b2o17bob3o3bo31b2o57bobo3bob3o2b2o16b3ob2o3bo46b3obo3bobo\$76bo115b3o12bo3bobo47bo7b2o32b2obobo2bo16bo6bobob2ob2o87bobo3b2o7b2o46b2ob2obobo6bo16bo2bobob2o74b2ob2obobo6bo16bo2bobob2o32b2obobo2bo16bo6bobob2ob2o95b2ob2obobo10b2o61b2ob2obobo6bo16b2o3bob2o32b2o56b2ob2obobo6bo19bobob2o38b2o10bobob2ob2o\$68b2o5bobo117bo10bo2bobob2o46bobo5b2o33bobo3bo15bobo3b2o3bobo87b2obo2b4obo59bobo3b2o3bobo15bo3bobo79bobo3b2o3bobo15bo3bobo34bobo3bo15bobo3b2o3bobo103bobo3b2o7b2o65bobo3b2o3bobo14b2obobobo19bo75bobo3b2o3bobo15b2o4bo39b2o7b2o3bobo\$68b2o4bo2bo116b2o10bo3b2o3bo46b2o40bob3obo15b2o4bob4o2bob2o83b2obobo3bo57b2obo2b4obo4b2o15bob3obo75b2obo2b4obo4b2o15bob3obo34bob3obo15b2o4bob4o2bob2o95b2obo2b4obo70b2obo2b4obo4b2o16bo4bo19b3o69b2obo2b4obo4b2o15bob3obo48bob4o2bob2o\$75b2o53b2o76bo3b2o2bo88b2o27bo3bobob2o87bobo3bo56b2obobo3bo27b2o76b2obobo3bo27b2o36b2o27bo3bobob2o95b2obobo3bo72b2obobo3bo27b2o23bo10b3o55b2obobo3bo27b2o4b2o45bo3bobob2o\$126b2o2b2o2b2o72bob2o2b3o116bo3bobo92bobo3bo59bobo3bo108bobo3bo71bo20bo3bobo103bobo3bo75bobo3bo50b2o11b2o59bobo3bo32b2o44bo3bobo\$126bobo2bo2b2o64b2o2bo2bo5bo118bo3bobo94bo3b2o60bobo3bo108bobo3bo69bo20bo3bobo105bobo3bo75bobo3bo59b2o63bobo3bo46bo29bo3bobo60bo\$127b3o33b2o11bo6b2o14b3o6bob2o2bo102bo14b2o3bo162bo3b2o14bo94bo3b2o14bo54b3o3bo14b2o3bo107bo3b2o76bo3b2o14bo39bo4b3o63bo3b2o14bo16bo12b3o29b2o3bo62bo\$128b2o33b2o10bobo4bo2bo13bo8bo3b3o101bobo200bobo112bobo58bobo227bobo37bobo4bobo81bobo14bobo10bo98b3o\$175bobo3bob3o2b2o9b2o5bo3b2o105bo168b2o32bo114bo60bo229bo38bo2bo4b2o82bo15bo2bo9b2o\$174b2ob2obobo6bo16bo2bobob2o57b2o150b2o60b2o478b2o106bo2bo\$90bo35bo51bobo3b2o3bobo15bo3bobo58bo72b2o77b2o59bo120b2o116b2o89b2o80b2o129b2o52bo49b2o\$90b3o32bobo46b2obo2b4obo4b2o15bob3obo59b3o69b2o62b2o75b2o118b2o61b2o53b2o89b2o80b2o37bobo89b2o44bo2bo3bobo48b2o\$93bo31bo2bo45b2obobo3bo27b2o4b2o56bo84b2o46bo2bo64b2o8b2o103b2o77bo68b2o59b2o80b2o53b2o74b2o7b2o50b2o4bo2bo63b2o\$92b2o32b2o50bobo3bo32b2o140bo2bo44bob2o42b2o20bo2bo111bo2bo76bobo65bo2bo57bo2bo78bo2bo52bo74bo2bo5bobo57b2o13b2o48bo2bo\$179bobo3bo130b2o42b2obo43bo45b2o19bob2o42b2o67bob2o42b2o34b2o22b2o42b2obo55bob2o42b2o34bob2o42b2o83bob2o8bo33b2o33b2o2b2o2b2ob2o42b2obo\$169b2o9bo3b2o14bo115b2o45bo42b2o66bo45b2o67bo45b2o58b2o45bo55bo45b2o34bo45b2o83bo45b2o33bobo2bo2b2ob2o45bo\$130b2o36bo3bo26bobo15b3o143b2o108b2o113b2o152b2o53b2o80b2o129b2o81b3o54b2o\$130bobo35bo31bo17b2o136b2o35bo26b2o37b2obo89b2o121b2o311b2o104b2o\$132bo36bob3o41b2o26b2o104b2o4b2o20bo14bobo3b2o21bo31b2o4bob2o24b2o63bo22bo26b2o70bo2bo50b2o26bo27bo26b2o53bo26b2o93bo8bo26b2o110b2o26bo\$132b2o81b3o26bo9b3o59b2o31bo7bo13b2o3bobo12bo2bo3bo21bo14b2o16b2o8b2o23bo31b2o28bobo21bobo3b2o11b2o8bo31b2o38bobo17b2o31bo21b2o3bobo25bobo3b2o21bo31b2o19bobo3b2o21bo31b2o58bobo7bobo3b2o21bo31b2o44b2o31bo21b2o3bobo\$102b2o112bobo23bo13bo59b2o16b2o14bo21bo3bo2bo11bobob2obo21b2o12bobo23b2o3bo21bo14b2o16b2o28b2o21bo2bo3bo13b2o6bo14b2o16b2o39bo18b2o16b2o14bo21bo3bo2bo23bo2bo3bo21bo14b2o16b2o18bo2bo3bo21bo14b2o16b2o58b2o7bo2bo3bo21bo14b2o16b2o33bo10b2o16b2o14bo21bo3bo2bo\$95b2o5bobo51b2o59b2o23b5o8bo5b2o71bobo12b2o21bob2obobo10b2obobobo36bo25bob2obo21b2o12bobo69bobob2obo12bo8b2o12bobo94bobo12b2o21bob2obobo23bobob2obo21b2o12bobo36bobob2obo21b2o12bobo85bobob2obo21b2o12bobo50bobo27bobo12b2o21bob2obobo\$95b2o7bo50bo2bo88bo13bo74bo36bobobob2o7bo2bob2o38b2o20bob2obobobo36bo70b2obobobo36bo98bo36bobobob2o21b2obobobo36bo37b2obobobo36bo86b2obobobo36bo52bo2bo28bo36bobobob2o\$104b2o48bob2o42b2o42b3o12bobo74b2o38b2obo2bo5b2o16b2o47b2obob2o38b2o44b2o22bo2bob2o38b2o98b2o38b2obo2bo17bo2bob2o38b2o35bo2bob2o38b2o74b2o8bo2bob2o38b2o53b2o29b2o38b2obo2bo\$154bo45b2o41bo15b2o120b2o24b2o136bo2bo21b2o100bo87b2o17b2o16b3o61b2o118bo2bo7b2o174b2o\$91bo61b2o88b4o66b2o91bo138bobo119b3ob2o2b2o122bo181bobo\$90bobob2o145b2o3bo3b2o60bo2bo94b2o38b2obob2o65b2o22bo90b2o28b4o4b2o16b2o103bo47b2o80b2o52bo76b2o35b2o3b2o\$90bobobobo43bo26b2o71bo2b3o4b2o60bobo2bob2o38b2o49bo36bobobob2obo20b2o38b2obo2bo68b2o38b2obo2bo32b2o20bo2bob2o14bo23b2o61b2o38b2obo2bo35b2o38b2obo2bo21b2o61b2o38b2obo2bo35bobo2bo2bob2o38b2o6bo\$87b2obobobobo2bo39bobo3b2o21bo21bo9b2o38b2obo69b2ob2obobobo36bo47bobo12b2o21bob2obo25bo36bobobob2o70bo36bobobob2o58b2obobobo12b2o22bo61bo36bobobob2o37bo36bobobob2o22bo2bo4b2o54bo36bobobob2o39bo4b2obobobo36bo5b2o\$87bo2bo2b2ob4o38bo2bo3bo21bo14b2o4b2o10b2o41bo72bo2bob2obo21b2o12bobo27b2o16b2o14bo21bo3b2o23bobo12b2o21bob2obobo69bobo12b2o21bob2obobo60bobob2obo10b2o9b2o12bobo57bobo12b2o21bob2obobo36bobo12b2o21bob2obobo23bobo5b2o23bobo26bobo12b2o21bob2obobo26b2o12b2o4bobob2obo21b2o12bobo3bobo\$89b2o4bo42bobob2obo21b2o12bobo5b2o52b2o71bobobo3bo21bo14b2o16b2o9b2o31bo23b2o8b2o16b2o14bo21bo3bo2bo29b2o20b2o16b2o14bo21bo3bo2bo60bo2bo3bo21bo14b2o16b2o21b2o16b2o14bo21bo3bo2bo18b2o16b2o14bo21bo3bo2bo24bo34bo7b2o16b2o14bo21bo3bo2bo25bo2bo4b2o11bo2bo3bo21bo14b2o16b2o\$73b2o20bobo39b2obobobo36bo132bobobobo3b2o21bo31b2o42b2o24b2obo4b2o31bo21b2o3bobo26b4o4b2o16b2o31bo21b2o3bobo62bobo3b2o21bo31b2o21b2o31bo21b2o3bobo19b2o31bo21b2o3bobo32bo23bo4bo2b2o2b2o31bo21b2o3bobo26bobo4bo2bo11bobo3b2o21bo31b2o\$74bo21b2o37bo2bob2o38b2o132b2o3bo26b2o101bob2o37b2o26bo27b3ob2o2b2o49b2o26bo64bo26b2o87b2o26bo53b2o26bo21b2o9bobo22b2obo2bob2o35b2o26bo28bo5bo15bo26b2o\$72bo7b2o3b2o6bo41b2o95b2o7b2o8b2o184b2o112bo349bo45bo9bo2bo25b2o102bo\$70b4o6b2o3b2o5bobo137b2o7b2o9bo18bo60b2o56b2o45bo66b2o113b2o90b2o115b2o70bo9b2o32b3o11bo2bo79b2o36b2o9bob2o25b2o\$45bo23bo23bo108b2o45b3o19b3o18b2o16b2o21bo45b2o9b2o42b2obo19b2o45bo67b2o45bo92bo45b2o21b2o45bo34b2o35b3o7bo33bo49b2o45bo38bo11b2o26bo45b2o\$43b2o23bo2b3o83b2o38b2obo2bo45bo24bo18bo15bo2bo20bob2o42b2o52bo2bo20b2o42b2obo67b2o42b2obo66b2o24bob2o42b2o21b2o42b2obo34b2o42b2obo47bo2bo32b2o42b2obo2b2o31b3o40bob2o42b2o\$44b2o23b2o2bo83bo36bobobob2o71b2o18bobo13bobo22bo2bo96b2o64bo2bo111bo2bo67bo26bo2bo107bo2bo78bo2bo48b2o77bo2bo4bo31bo43bo2bo\$71b2o75b2o5bobo12b2o21bob2obobo93b2o14bo24b2o82b2o80b2o113b2o66bobo27b2o109b2o80b2o129b2o5bobo43b2o29b2o\$71bo65b2o10b2o4b2o14bo21bo3bo2bo149b2o67b2o65b2o113b2o81b2o43b2o79b2o80b2o129b2o21b2o43b2o44b2o\$72bo12bo51b2o9bo21bo21b2o3bobo7b2o21b3o9b3o105b2o134b2o113b2o126b2o79b2o80b2o129b2o112b2o\$69b3o12b3o83b2o26bo9bo24bo7bo56b2o91bo\$69bo14bo2bo120bobo19bo3bo5bo3bo52bo2bo13b2o63bo10bobo65bo114bo106b2o76bo23bo81bo130bo56bo113bo\$82b2o2b3o9b2o84b2o23b2o19bo13bo53bobo9b4o4b2o58bobo10bo14b2o3bo45bobo112bobo76b2o26bo2bo74bobo21bobo79bobo128bobo53b2obo111bobo\$82b3o2bo10bo38b2o45bo44b2o4bo3bo4b2o37b2o14bo10b3ob2o2b2o39bo3b2o14bo26bo3bobo45bo14b2o3bo94bo14b2o3bo57b2o26bobo56bo3b2o14bo23bo14b2o3bo61bo14b2o3bo110bo14b2o3bo37bo92bo3b2o14bo\$81b2o2b2o12b3o35b2o42b2obo15b2o27b2o4bo3bo4b2o30b2o5bobo29bo19b2o21bobo3bo42bo3bobo59bo3bobo108bo3bobo71bo13bo56bobo3bo53bo3bobo75bo3bobo124bo3bobo33b3o92bobo3bo\$81b3o17bo78bo2bo16bo2bo9b2o15bo13bo31b2o7bo49b2o20bobo3bo44bo3bobob2o56bo3bobo108bo3bobo68b3o69bobo3bo55bo3bobo75bo3bobo124bo3bobo126bobo3bo\$81bob4o94b2o3bo25bo2bo14bo3bo5bo3bo40b2o34bo31b2obobo3bo37b2o4bob4o2bob2o57bo3bobob2o105bo3bobob2o50b3o10bo68b2obobo3bo57bo3bobob2o72bo3bobob2o121bo3bobob2o118b2obobo3bo\$81b2o2b2o99b3o11bo2bo9bobo17bo7bo52b2o25b3o12bo16b2obo2b4obo4b2o29bobo2bobo3bobo53b2o4bob4o2bob2o97b2o4bob4o2bob2o50b2o11b2o67b2obo2b4obo4b2o41b2o4bob4o2bob2o64b2o4bob4o2bob2o113b2o4bob4o2bob2o118b2obo2b4obo4b2o\$66bo15b2o10b2o2b2ob2o86bo9bo2bo11bo15b3o9b3o27bo17b2obo2bob2o24bo10bobo19bobo3b2o3bobo31b4o2bo2bob2ob2o49bobo3b2o3bobo101bobo3b2o3bobo57b2o29b2o50bobo3b2o3bobo41bobo3b2o3bobo68bobo3b2o3bobo117bobo3b2o3bobo28b2o96bobo3b2o3bobo\$64b3o27bobo2bobobo61b3obo18b2o9bobo69bobob2o13bo4bo2b2o23b2o9bo2bo15b2ob2obobo6bo33bo2bo3bobo2bobo52bo6bobob2ob2o99bo6bobob2ob2o52b3o4bo20b4o4b2o42b2ob2obobo6bo45bo6bobob2ob2o66bo6bobob2ob2o115bo6bobob2ob2o20b2o4b4o88b2ob2obobo6bo\$63bo15b2o16b2o2bobo34bo31bo29bo70bobobobo16bo38bo2bo17bobo3bob3o2b2o34b2o5bo2bo2bo10b2o40b2o2b3obo3bobo100b2o2b3obo3bobo52bobo4bobo19b3ob2o2b2o43bobo3bob3o2b2o45b2o2b3obo3bobo67b2o2b3obo3bobo116b2o2b3obo3bobo21b2o2b2ob3o89bobo3bob3o2b2o10bo\$62bobo15bo9bo7bobobo34bobo26bo3bo22bo74b2obobobobo2bo10bobo34bo13b2o10bobo4bo2bo49b2o11b2o44bo2bo4bobo10b2o92bo2bo4bobo10b2o40b2o4bo2bo24bo35b2o10bobo4bo2bo53bo2bo4bobo10b2o59bo2bo4bobo10b2o108bo2bo4bobo10b2o13bo82b2o10bobo4bo2bo15b2o\$62bobo12b3o11bo3bo2bo2bo36bo14b2o3bo9b2o22bobo5b2o7b2o57bo2bo2b2ob4o46bobo3bo2bo5b2o11bo6b2o110b2o6bo11b2o93b2o6bo11b2o47b2o61b2o11bo6b2o55b2o6bo11b2o60b2o6bo11b2o109b2o6bo11b2o96b2o11bo6b2o15b2o\$63bo13bo11b3o2bobob3o52bo3bobo32bo2bo4b2o3b2o2b2o2b2o55b2o4bo50bo2bo4b2o49bobo25b2o\$95bobo56bo3bobo32b2o10bobo2bo2b2o17b2o7b2o33bobo49b2o56b2o26b2o361bo\$96bo2b2o54bo3bobob2o41b3o23b2o7b2o34b2o108bo389bobo\$97b2ob3o44b2o4bob4o2bob2o42b2o421b4o143b2o99b4o\$103bo43bobo3b2o3bobo468bo3bo243bo3bo\$7b2o5b2o31b2o48b2ob3o35bobo8bo6bobob2ob2o79b2o35b2o350bo247bo\$8bo5b2o31b2o48b2obo37b2o9b2o2b3obo3bobo80bo36bobo63bo215bobo63bo2bo244bo2bo\$8bobo128bo13bo2bo4bobo10b2o42b2o22bobo38bo4b2o55b3o215b2o327b2o\$9b2o78b2o63b2o6bo11b2o41bo2bo21b2o35b4ob2o2bo2bo52bo44bobo172bo324b3ob2o\$13b2o53bob2o17b2o101b2o22b2o61bo2bobobobob2o52b2o44b2o14b2o26bo34b2o17b2o95b2o302b5o\$12bobo53b2obo82b2o36b2o21b3o5bo58bobobobo33b2o66bo15bo27b3o32b2o18bo95bobo61bo240b3o\$13bo141bo59bo2bo3bobo12b2o44b2obobo32bo2bo4b2o73bobo30bo46bo4bobo95bo4b2o53b2o\$9bo69bob2o70bo7b2o3b2o6bo17bo23b3o3b2o12bobo48bo33bobo5b2o21b2o7b2o5b2o34b2o30b2o44b3o5b2o91b4ob2o2bo2bo52b2o4bo324bo\$60b2o17b2obo68b4o6b2o3b2o5bobo15bobo42bo55bo29bo30bo8bo5b2o98b3o10bo101bo2bobobobob2o56b2o324bo\$7b3obo48b2o88bo23bo16bo2bo21b3o3b2o13b2o34b2o17b3o58bob2o5bobo44b2o57b2o11b2o103bobobobo60b2o323b3o\$6bob2o139bo2b3o37bo2bo19bo2bo3bobo13bo14b2o19bo7b2o11bo21b2o9b2obo13b2o4b3o2bo6b2o35b2o8bo60b2o21b2o91b2obobo\$6b2obo40bob2o48b2o46b2o2bo5b3o8bo43b3o5bo29b2o19bobo5b2o10bobo21bo10bobo13b2o3bo3b2o11b2o30bo2bo4b3o27b3o30b3o4bo15bo2bo94bo\$4bob3o39b3ob2o48b2o48b2o4bo3b2o2bo3bo4bo16bo2bo20b2o50bo6b2o17bobo18b3o12bo19b4o12bobo30bobo5bo31bo29bobo4bobo15bobo\$47bo104bo5bo5bo2b2o6b2o15b2o23bo2bo18b4o23b3o26bo19bo13b2o5b2o15bo9bo3bo32bo36bobo29b2o4bo2bo16bo81b2o301b6o\$6bo41b3ob2o62bo36bo4bo3b2o2b5obo3b2o40b2o18bo7b2o4b2obo9bo63b2o4bobo12b3o10b2o73b2o6b2o28b2o100bo7b2o291bo5bo\$50b2o2bo59b3o33b3o6bo7b2obo2b4o21bo5bo33bo3b2o2b2o5bobo9b2o62b2o4bo13bo12b2obo73b2o5bobo129bobo5b2o297bo\$53bobo57bo36bo9b2o3bo2bobo2b2o22b3o3b3o33bo2b2o10bo79b2o14b5o6bo2b3o58b2o12b2o7bo55bo74b2o298bo4bo\$50b3obobo16bo13bo24bobo49bo4bo9b2o15bobobobobobo46b2o6bo92bo5bobobo36b4o20bobo20b2o40b2o10bobo376b2o\$49bo2bo2bo15b3o12bobo23bobo64bo15b2obobobobob2o45b2o5bobo47b2o40bo6bobobo36bo7b2o17bo58b2obo2bob2o7b2o15b2o116b3o\$48bobobo17bo15bobo24bo66b3o12bob4ob4obo45b2o4bo2bo22b2o23b2o40b2o3b3o2bo37bo3b2o2b2o9bo7b2o6bo50bo4bo2b2o24bo119bo\$47bobo2b2o16b2o15bo94bo12b5o3b5o52b2o23bo37bo34bob2o39bo2b2o12b3o13bobob2o50bo27bobo10b2o5b2o99bo350b2o24b2o38b2o104b2o45b2o\$47bobobo2bobo27b3o199b3o34b3o33b2o56b2o2bo12bobobobo46bobo28b2o12bo5b2o450b2o24bobo36bob3obo14bo85b2o45bo\$48b2ob2o2b2o27bo202bo2bo35bo33bo55bob4o9b2obobobobo2bo88bobo441bo25bo14b3o35bobo3bo12b3o100bo29bobo\$147bo27b2o2b2ob2o15b2ob2o39b2o40bo3b2o34b2o89bobo12bo2bo2b2ob4o89b2o54b2o385b3o23b3o13b2o34b2obobo2bo10bo34b2o29b2o21bo12b3o29b2o\$97b2o11bo34b3o27bobo2bobobo13bobobobo39bo40b2o46bo82b3o14b2o4bo74b2o21b2o50bo357b2o30bo9bob2o12bo9b2o40b2o3bo10b2o33bo29bo2bo19bobo10bo\$49bo47b2o10bobo32bo15b2o16b2o2bobo14bo3bo40bobo85bo106bobo71bo2bo19bobo51b3o355bo29b2o9bobo12b2o9b3o36b3o3bo45bobo29bo15bo6bo2bo9b2o\$49b3o56bo3bo30bobo15bo17bobobo61b2o50b2o18b2o13b3o79b2ob2o21b2o71bobo21bo54bo145bo209bobo39bo63bo2b2obo8bo36b2o30bo13b3o7bo2bo37b2o\$52bo55bo3bo30bobo12b3o15bo2bo2bo114b2o18bo96b5o10bo84bo222bobo209b2o32bo6b2o17bo45bo5bo2bo3bobo67bob2o9bo18bo31bo2bo\$51b2o55b2ob2o5bob2o22bo13bo16bobob3o132b2obo95bo2b3ob3o4b3o102b3o203bo243bobo5b2o16bobo5b2o34b3o2b2obo6bo2bo69b2o9b2o9bo2bo3bobo30bobo\$81bo36b2obo54bobo70b2o54b2obo5bo2b3o4b2o82b2ob4o11bo11bo93b3o447bo2bo4b2o16bo2bo4b2o34bo2b2o3bo7b2o32b2o58b2o4bo2bo31bo\$79b3o95bo2b2o66bo2bo53b2ob3o4b2o3bo3b2o82bob2o2b2o10b2o8b3o93b3o418b2o28b2o24b2o42bo3b2o3bo38bo2bo42bo21b2o\$78bo99b2ob3o9b2o7b2o45bobo59bo5b4o114bo15b2o65b2o9b3o86bo333bo2bo98b2obobo2bo38bobo35b2o5bobo\$79bo104bo8b2o7b2o46bo54b2ob3o6bo15b2o100b2o15bo61b2o2b2o2b2o5b3o84b3o118b2o214bobo99bobo3bo40bo36b2o4bo2bo\$78b2o48b2o10b3o35b2ob3o120bo2b2o9b3o12bobo115bo62b2o2bo2bobo5b3o83bo121b2o215bo100bob3obo84b2o59b2o\$77bo2b2o46b2o9bo3bo34b2obo121bobo15bo13bo115b2o67b3o40bo51b2o439b2o145b2obo2bob2o\$77b3o2bo17bob2o34bo5bo140bo16bobob2obo6b5o14b2o76b2o105b2o39b3o178b2o4b2o453b2o2bo4bo\$57bo23bo16b3ob2o34bo5bo97bo2b2o38b3o15bo2bob2o6bo96b2o50b2o93bo181b2o4b2o356b2o100bo\$56bobo5b2o3b2o6b4o16bo40b3ob3o4bob2o40bo9bo37bo3b2o2b2o37bo17bo11bo146bo94b2o388bo151b2obo2bob2o97bobo\$57bo6b2o3b2o7bo19b3ob2o45b2obo39bobo7bobo36bo7b2o36b2o16b2o10b2o143b2obo414b2o63b3ob2o2b2o147b2o2bo4bo\$76bo23b2o2bo87bo2bo5bo2bo37b4o14b2o40bobo2b2o152bo2bo33b2o242b2o3b3o130b2o22bo40b4o4b2o152bo\$76b2o25bobo54bob2o29b2o7b2o55bo2bo4b2o33b2o2bo2bo101bob2o47b2o27b2o4bo2bo215bo2b2o21b2o3b2o146bo8bobo42b2o157bobo\$99bob2obobo53b2obo4b3ob3o17bo11bo47b2o5bobo5b2o38b2o100b3ob2o32b2o42bo2bo3bobo104b2o108bo3b2o2b2o25b2o141b3o8b2o\$99b2obo2bo16b2o44bo5bo77bo7bo147bo13b2o23b2o50bo104bobo5b2o101bo7b2o24b3o127b2o11bo178b2o40b2o\$102bo19bo45bo5bo75bobo156b3ob2o8bo67bo2bo109bo7b2o102b4o28bobo128b2obo9b2o176bo4bo37b2o\$102b2o16bobo8bob2o34bo3bo9b2o7bo11bo45b2o3b2o9b3o142bobo6b3o67bo2bo9b2o45b2o51b2o143b2o132bo187bobobob2o50bo\$100b2o2bobo13b2o7b3ob2o35b3o10b2o8b2o7b2o52bo9b2o143bobo6bo69bobo10bo45bobo5b2o323bo5bo180b2obo3b2o48b3o\$99bo2bo2b2o21bo63bo2bo5bo2bo48b3o13b2o141bo21b2o3bo51bo12b3o42bo7b2o58bo261bo2bo4bobo80b2o24b2o70bo3b3obo35b2o11bo30b2o24b2o\$100b2o27b3ob2o57bobo7bobo41b2o5bo14b3o14bo148bo3bobo65bo41b2o63b2obobo96bo164b2o4bo2bo79bo2bo4b2o16bo2bo4b2o62bo2b2o4bo6b2o27b2obo9b2o22b2o4bo2bo16b2o4bo2bo\$131b2o2bo57bo9bo41bo2bo18bobo13b2ob2o147bo3bobo49b2o119bobobobo95bobo170b2o80bobo5b2o16bobo3bo2bo62b3o2bob3o5bo2bo29bo33b2o5bobo16b2o5bobo\$134bobo108bobo19b2o10b3ob2o4b4o7b2o134bo3bobob2o45b2o69bo46bo2bobobobob2o92bo2bo252bo25bo73b2o3b2o6bobo29bo5bo35bo17b2o6bo\$26bo104b3obobo16bo13bo77bo32b4o6bo10b2o132bob4o2bob2o112b2obobo45b4ob2o2bo2bo93b2o284bo2bo64bo2bob3o7bo27bo2bo4bobo53bo\$24b3o83b2o18bo2bo2bo15b3o12bobo113bo6bo142bobo3bobo115bobobobo49bo4b2o345b2o9b2o13b2o9bo2bo63b3o4bo36b2o4bo2bo26b3o9b2o12bobo9b2o\$23bo87b2o17b2obo17bo15bobo113bo6bo142bobo2bo2b2ob2o108bo2bobobobob2o44bobo352bo9b2obo12bo10bobo66b3obo11b2o30b2o28b2o9bo12b2obo9bo\$22bobo56b2o24b2o4bo19b2o16b2o15bo24b2o7b2o84bo2bo9b2o131bo3b2o2bobo109b4ob2o2bo2bo44b2o106b2o242b3o13bo9b3o12bo64b2obo3b2o10bo58b2o13b3o23b3o\$22bobo56bo24bo6b2o15b3o2bobo27b3o25b2o7b2o46bo37b2o11bo140bobo10b2o101bo4b2o154bobo241bo15bo9bo80bobobob2o11b3o55b3o14bo25bo\$23bo55bobo24b3ob2obo4bobo8bo3bo2b2o27bo54b2o24b2o2b2ob3o34bo11b3o138bo11b2o99bobo162bo254bo2bo23b2o65bo4bo15bo56bobo24b2o\$79b2o26bo9bo2bo8b4o88bo24b2o4b4o48bo251b2o163b2o254b2o24b2o66b2o76b2o24b2o\$109bo7bo3bo99bobo26b2o864bo\$103b2o4b2o6bo2bo6b4o91b2o673b2o217bobo\$75b2o27bo13b3o5bo3b3o391bo2bo244bo2bo120b2o122bo2bo92b2o3bo\$7b2o65bo2bo23b3o22b2o5bo394bo3bo2bo240bo3bo2bo114bo125bo3bo2bo22b2o65bobo\$7b2o65bobo24bo30b2o9bo4bo77b2o289b2o5bo3bo7bo228b2o5bo3bo7bo228b2o5bo3bo7bo19b2ob2o64b2o\$75bo62b2o2bobo2bo3b2o9bo62bo2bo49b4o231b4ob2o5b4o3bo3bo224b4ob2o5b4o3bo3bo224b4ob2o5b4o3bo3bo19b4o\$136b4o2bob2o7bo6b3o63bobo48bo4bob2o227b6o14b4o224b6o14b4o224b6o14b4o20b2o\$28bob2o103b2o3bob5o2b2o3bo4bo12bo3bo11bo3bo34bo49bo4bo3bo227b4o244b4o244b4o\$28b2obo45b2o57b2o6b2o2bo5bo5bo10bobobobo9bobobobo86b2o4bo\$76b3o28bo29bo4bo3bo2b2o3bo4b2o9bo2bobo2bo9b2ob2o84b2o4bo2bo504b2o246b2o\$75bobo2bo2b2o22b3o31bo8b3o5bo2b2o6b2ob2ob2ob2o44bobo15bo33bo2bo3bo2bo3b2o496b3ob2o43b3o196b3ob2o\$20b2o53b2o2b2o2b2o25bo47b3o2bo4bo3bo3bo3bo42bo16bobo33bo2bo4b2o3bobo496b5o44bo198b5o\$20bo58b2o28b2o27bo23bo4bo2bob2ob2obo2bo2b2o9b2o21b2o2bo4bo13b2o33bo4b2o7bo498b3o46bo198b3o\$21bo115bobo5b2o3b2o6b4o8bo7bo5bob4ob4obo21b2obo2bob2o48bo3bo4bo\$10bob2o124bo6b2o3b2o7bo12b2ob2o8bo3bobo3bo26b2o53b2obo4bo\$8b3ob2o5bo137bo9bo5bobo5bo3bo3bobo3bo85b4o\$7bo14bo134b2o9b2ob2o3b2ob2o5b3o3b3o\$8b3ob2o5bo2bo\$10bobo8b3o17b2o46bo4b2o\$10bobo8b3o18bo45bobo3b2o48bo123bo247bo247bo247bo\$11bo8bo2bo18bobo25b2o17bo52bo3bo119bo3bo243bo3bo243bo3bo243bo3bo23b2o\$20bobo20b2o25b2o75bo123bo10b5o232bo10b5o232bo10b5o232bo10b5o3b4ob2o\$20b3o62bo56bo4bo118bo4bo9bo4bo227bo4bo9bo4bo227bo4bo9bo4bo227bo4bo9bo4bo3b6o\$83b3o11b2o2b2o40b5o119b5o14bo228b5o14bo228b5o14bo228b5o14bo4b4o\$47b2o20b2obo9bo14b2o2b2o178bo3bo243bo3bo243bo3bo243bo3bo\$46bo2bo20bobo9b2o30b2o167bo247bo247bo247bo\$20b2o25bobo21bo42b2o\$20b2o26bo21b2o6bo\$70b2o5bobo21b2o\$70b2o4bo2bo17b4o4b2o\$77b2o18b3ob2o2b2o\$44b4o54bo\$39b2o7bo\$39b2o2b2o3bo\$43b2o2bo190b2o246b2o246b2o246b2o\$236bo4bo242bo4bo242bo4bo242bo4bo\$242bo247bo247bo247bo\$236bo5bo241bo5bo241bo5bo241bo5bo\$65bo171b6o242b6o242b6o242b6o\$66bo165b2o78b2o166b2o246b2o246b2o102b2o\$64b3o162b3ob2o78b2o162b3ob2o242b3ob2o242b3ob2o102b2o\$229b5o78bo164b5o243b5o243b5o102bo\$9b2o219b3o245b3o245b3o245b3o\$9bobo373b2o\$10bo373b2o\$288b2o96bo\$28b2o11bo6b2o60b2o6bo11b2o54b2o11bo6b2o79b3o47b2o11bo6b2o46b2o6bo11b2o45b2o6bo11b2o126b2o11bo6b2o15bo52b2o11bo6b2o67b2o11bo6b2o70b2o6bo11b2o46b2o6bo11b2o55b2o11bo6b2o37b2o6bo11b2o71b2o6bo11b2o\$28b2o10bobo4bo2bo58bo2bo4bobo10b2o54b2o10bobo4bo2bo77bobo2bo2b2o41b2o10bobo4bo2bo44bo2bo4bobo10b2o44bo2bo4bobo10b2o126b2o10bobo4bo2bo14b2o51b2o10bobo4bo2bo66b2o10bobo4bo2bo68bo2bo4bobo10b2o45bo2bo4bobo10b2o55b2o10bobo4bo2bo35bo2bo4bobo10b2o70bo2bo4bobo10b2o\$40bobo3bob3o2b2o50b2o2b3obo3bobo78bobo3bob3o2b2o73b2o2b2o2b2o53bobo3bob3o2b2o36b2o2b3obo3bobo52b2o2b3obo3bobo150bobo3bob3o2b2o9bobo63bobo3bob3o2b2o74bobo3bob3o2b2o60b2o2b3obo3bobo53b2o2b3obo3bobo79bobo3bob3o2b2o27b2o2b3obo3bobo78b2o2b3obo3bobo\$11bo3b2o22b2ob2obobo6bo21bobo2bobo21bo6bobob2ob2o76b2ob2obobo6bo77b2o56b2ob2obobo6bo36bo6bobob2ob2o51bo6bobob2ob2o148b2ob2obobo6bo74b2ob2obobo6bo73b2ob2obobo6bo60bo6bobob2ob2o52bo6bobob2ob2o77b2ob2obobo6bo27bo6bobob2ob2o77bo6bobob2ob2o\$9b2obo30bobo3b2o3bobo17b2o2b4o2b2o17bobo3b2o3bobo84bobo3b2o3bobo137bobo3b2o3bobo32bobo3b2o3bobo53bobo3b2o3bobo156bobo3b2o3bobo76bobo3b2o3bobo75bobo3b2o3bobo56bobo3b2o3bobo54bobo3b2o3bobo85bobo3b2o3bobo23bobo3b2o3bobo79bobo3b2o3bobo\$9b3o27b2obo2b4obo4b2o11b2o5b2o6b2o5b2o11b2o4bob4o2bob2o76b2obo2b4obo4b2o133b2obo2b4obo4b2o32b2o4bob4o2bob2o49b2o4bob4o2bob2o148b2obo2b4obo4b2o72b2obo2b4obo4b2o71b2obo2b4obo4b2o56b2o4bob4o2bob2o50b2o4bob4o2bob2o77b2obo2b4obo4b2o23b2o4bob4o2bob2o75b2o4bob4o2bob2o\$8bo6bo23b2obobo3bo19b2o6bo6bo6b2o19bo3bobob2o76b2obobo3bo141b2obobo3bo48bo3bobob2o57bo3bobob2o148b2obobo3bo80b2obobo3bo79b2obobo3bo72bo3bobob2o58bo3bobob2o77b2obobo3bo39bo3bobob2o83bo3bobob2o\$7bo2bobobobo26bobo3bo60bo3bobo84bobo3bo82b2o2b2o56bobo3bo46bo3bobo60bo3bobo156bobo3bo83bobo3bo82bobo3bo70bo3bobo61bo3bobo85bobo3bo37bo3bobo86bo3bobo\$8b3obob2o28bobo3bo58bo3bobo86bobo3bo81b2o2b2o57bobo3bo44bo3bobo60bo3bobo158bobo3bo83bobo3bo82bobo3bo68bo3bobo61bo3bobo87bobo3bo35bo3bobo86bo3bobo\$34bo10bo3b2o14bo28bo14b2o3bo88bo3b2o14bo130bo3b2o14bo14bo14b2o3bo46bo14b2o3bo160bo3b2o14bo69bo3b2o14bo68bo3b2o8bo5bo38bo14b2o3bo47bo14b2o3bo89bo3b2o14bo5bo14b2o3bo72bo14b2o3bo\$8b3obob2o17bo30bobo26bobo126bobo148bobo12bobo64bobo198bobo87bobo80b3o3bobo36bobo65bobo127bobo3bobo90bobo\$7bo2bobobobo16b2obobo26bo28bo128bo79bo70bo14bo66bo200bo89bo80bo2b2o3bo38bo67bo129bo5bo92bo\$8bo6bo21bo71bo2bo184b2o3bobo47bobo126b2o4bo340bo3bo\$9b3o25bo70bo3bo9b2o70b2o101b2o4bo41b2o9bobo58b2o61bobo145b2o88b2o87b2o21bobo70b2o66b2o71b2o61b2o91b2o\$9b2obo55b2o6bo6bo6b2o16bo4bo8b2o70b2o149b2o11bo58b2o60b2obo145b2o88b2o87b2o94b2o66b2o71b2o61b2o91b2o\$11bo3b2o4b2o45b2o5b2o6b2o5b2o16bo4bo23b2o40b2o149b2o20bo3bobo73b2o46b2o17b2o112b2o88b2o87b2o33b2ob2o86b2o66b2o41b2o91b2o91b2o\$20bo2bo50b2o2b4o2b2o23bo3bo22bo2bo38bo2bo126bo20bo2bo19bob2o75bo2bo46bo16bo2bo110bo2bo86bo2bo85bo2bo34b3o85bo2bo64bo2bo39bo2bo89bo2bo89bo2bo\$19bob2o42b2o9bobo2bobo9b2o15bobo24b2obo36bob2o42b2o78b3ob2o2b2o15bob2o42b2o12b2o42b2obo19b2o42b2obo108bob2o42b2o42bob2o42b2o41bob2o37b2o3b2o36b2o42b2obo20b2o42b2obo37bob2o42b2o3b2o42b2obo45b2o42b2obo\$19bo45b2o26b2o45bo36bo45b2o78b4o4b2o15bo45b2o12b2o45bo19b2o45bo108bo45b2o42bo45b2o41bo40bo4b2o36b2o45bo20b2o45bo37bo45b2o3b2o45bo45b2o45bo\$18b2o120b2o34b2o129b2o18b2o106b2o65b2o106b2o88b2o87b2o130b2o66b2o35b2o97b2o91b2o\$152bob2o160bo512bo103bob2o64bob2o7b2obo\$5bo26b2o92b2o24b2obo7bo26b2o122b3o24b2o78b2o26bo38b2o26bo80bo26b2o61bo26b2o60bo26b2o23b3o76b2o24b2obo38b2o24b2obo7bob2o24b2o69b2o26bo64b2o26bo\$4bobo3b2o21bo31b2o26b2o31bo23b2o10bobo3b2o21bo31b2o86bobo3b2o23bo31b2o12b2o31bo21b2o3bobo4b2o31bo21b2o3bobo78bobo3b2o21bo31b2o27bobo3b2o21bo31b2o26bobo3b2o21bo23bo7b2o36b2o31bo23b2o9b2o31bo23b2o15b2o23bo31b2o3b2o31bo21b2o3bobo30b2o31bo21b2o3bobo\$3bo2bo3bo21bo14b2o16b2o26b2o16b2o14bo21bo3b2o6bo2bo3bo21bo14b2o16b2o78b2o2b2o2b2ob2o3bo21bo14b2o16b2o12b2o16b2o14bo21bo3bo2bo3b2o16b2o14bo21bo3bo2bo76bo2bo3bo21bo14b2o5bo10b2o26bo2bo3bo21bo14b2o16b2o25bo2bo3bo21bo14b2o9b2ob2o2b2o36b2o16b2o14bo21bo3b2o6b2o16b2o14bo21bo3b2o9b2o3bo21bo14b2o16b2o3b2o16b2o14bo21bo3bo2bo29b2o16b2o14bo21bo3bo2bo\$3bobob2obo21b2o12bobo62bobo12b2o21bob2obo6bobob2obo21b2o12bobo96b2o2b2o5bob2obo21b2o12bobo48bobo12b2o21bob2obobo21bobo12b2o21bob2obobo76bobob2obo21b2o12bobo3b2o39bobob2obo21b2o12bobo43bobob2obo21b2o12bobo10bobo59bobo12b2o21bob2obo24bobo12b2o21bob2obo9bob2obo21b2o12bobo39bobo12b2o21bob2obobo47bobo12b2o21bob2obobo\$2b2obobobo36bo66bo36bobobob2o2b2obobobo36bo106b2obobobo36bo52bo36bobobob2o22bo36bobobob2o74b2obobobo36bo6b2o37b2obobobo36bo44b2obobobo36bo13bo62bo36bobobob2obo21bo36bobobob2o3b2obobobo36bo43bo36bobobob2o48bo36bobobob2o\$o2bob2o38b2o66b2o38b2obobo2bob2o38b2o105bobob2o38b2o52b2o38b2obo2bo20b2o38b2obo2bo70bo2bob2o38b2o43bo2bob2o38b2o42bo2bob2o38b2o76b2o38b2obob2o21b2o38b2obobobobob2o38b2o43b2o38b2obo2bo46b2o38b2obo2bo\$2o156b2o135bo14bo92bobo47b2o65b2o70b2o88b2o87b2o234bobo66bo66b2o91b2o\$158bo135bobo3b2o7b2o93b2o601bobo65bobo\$67b2o22b2o66bo65b2o68bo4b2o74b2o8b2o16bo48b2o204b2o88b2o87b2o32b2o66b2o66bo66bobo91b2o\$22b2o38b2obo2bo22bo2bob2o38b2o20b2o20b2o38b2obo2bo104b2o38b2obo2bo8bo2bob2o38b2o20bo2bob2o38b2o114b2o38b2obo2bo43b2o38b2obo2bo42b2o38b2obo2bo32bo2bob2o38b2o21bo2bob2o38b2o43b2o38b2obobobobob2o38b2o46bo2bob2o38b2o\$22bo36bobobob2o26b2obobobo36bo42bo36bobobob2o106bo36bobobob2o12b2obobobo36bo22b2obobobo36bo114bo36bobobob2o45bo36bobobob2o44bo36bobobob2o36b2obobobo36bo23b2obobobo36bo43bo22bobo11bobobob2o3b2obobobo36bo48b2obobobo36bo\$20bobo12b2o21bob2obobo28bobob2obo21b2o12bobo38bobo12b2o21bob2obobo105bobo12b2o21bob2obobo14bobob2obo21b2o12bobo21bobob2obo21b2o12bobo110bobo12b2o21bob2obobo44bobo12b2o21bob2obobo43bobo12b2o21bob2obobo38bobob2obo21b2o12bobo22bobob2obo21b2o12bobo39bobo12b2o8b2o11bob2obo9bob2obo21b2o12bobo47bobob2obo21b2o12bobo\$2b2o16b2o14bo21bo3bo2bo28bo2bo3bo21bo14b2o16b2o2b2o16b2o14bo21bo3bo2bo87b2o16b2o14bo21bo3bo2bo14bo2bo3bo21bo14b2o16b2o3bo2bo3bo21bo14b2o16b2o74b2o16b2o14bo21bo3bo2bo26b2o16b2o14bo21bo3bo2bo25b2o16b2o14bo21bo3bo2bo38bo2bo3bo21bo14b2o16b2o4bo2bo3bo21bo14b2o16b2o3b2o16b2o14bo9bo11bo3b2o9b2o3bo21bo14b2o11bo4b2o29bo2bo3bo21bo14b2o10bo5b2o\$2b2o31bo21b2o3bobo30bobo3b2o21bo31b2o2b2o31bo21b2o3bobo88b2o31bo21b2o3bobo16bobo3b2o21bo31b2o4bobo3b2o21bo31b2o74b2o31bo21b2o3bobo27b2o31bo21b2o3bobo26b2o31bo21b2o3bobo40bobo3b2o21bo31b2o5bobo3b2o21bo31b2o3b2o31bo23b2o15b2o23bo24b2ob2o2b2o30bobo3b2o21bo24bo6b2o\$35b2o26bo32bo26b2o68b2o26bo122b2o26bo18bo26b2o38bo26b2o140b2o26bo61b2o26bo60b2o26bo42bo26b2o39bo26b2o18b3o48b2o24b2obo7bob2o24b2o20bo3b2o38bo26b2o24b2o\$990b2o77bob2o7b2obo46bo96b2o\$49b2o58b2o96b2o149b2o44b2o65b2o168b2o88b2o87b2o68b2o66b2o30b2obob2o60b2o35b2o40b3o48b2o38bo\$2b2o45bo60bo45b2o2b2o13bo3bo27bo103b2o45bo46bo45b2o19bo45b2o74b2o45bo42b2o45bo41b2o45bo70bo45b2o20bo30b4o2bo8b2o3b2o45bo37bo40bo4b2o45bo36bo3bo4b2o\$2b2o42b2obo60bob2o42b2o2b2o12b3obo2bo22b2obo103b2o42b2obo46bob2o42b2o19bob2o42b2o74b2o42b2obo42b2o20bo21b2obo41b2o42b2obo70bob2o42b2o20bob2o28bo4bo8b2o3b2o42b2obo37bob2o37b2o3b2o45bob2o32b2o8b2o\$45bo2bo62bo2bo59bobobo24bo2bo147bo2bo48bo2bo63bo2bo160bo2bo63b2o21bo2bo85bo2bo72bo2bo15b2o3b2o42bo2bo28b4o57bo2bo39bo2bo89bo2bo31b2o3bo\$46b2o64b2o66bo23b2o149b2o50b2o65b2o162b2o63b2o23b2o87b2o74b2o14b4o3bobo42b2o23bobo3b2o60b2o41b2o91b2o34b2o\$31b2o94b2o51b2o7b2o149b2o80b2o65b2o132b2o77bo11bo87b2o104bo2bo2bo3bo57b2o8b2o51b2o71b2o19b3o69b2o\$31b2o94b2o45bo3bobo8b2o149b2o80b2o65b2o132b2o78b5o5b2o87b2o104bo4bo3b2o57b2o9bo51b2o71b2o19bo2b2o67b2o\$178bobo523bo204bo3bo220b3o\$914bo220bo2\$18b2o3bo112bo3b2o34b2o3bo145b2o3bo98bo3b2o61bo3b2o106b2o3bo84b2o3bo83b2o3bo122bo3b2o62bo3b2o35b2o3bo89bo3b2o87bo3b2o\$18bo3bobo110bobo3bo34bo3bobo144bo3bobo96bobo3bo60bobo3bo106bo3bobo83bo3bobo82bo3bobo120bobo3bo61bobo3bo35bo3bobo87bobo3bo86bobo3bo\$19bo3bobo108bobo3bo36bo3bobo144bo3bobo94bobo3bo60bobo3bo108bo3bobo83bo3bobo82bo3bobo118bobo3bo61bobo3bo37bo3bobo85bobo3bo86bobo3bo\$20bo3bobob2o100b2obobo3bo38bo3bobob2o141bo3bobob2o86b2obobo3bo57b2obobo3bo110bo3bobob2o80bo3bobob2o79bo3bobob2o110b2obobo3bo58b2obobo3bo39bo3bobob2o77b2obobo3bo83b2obobo3bo\$18bob4o2bob2o100b2obo2b4obo34bob4o2bob2o139bob4o2bob2o86b2obo2b4obo55b2obo2b4obo106bob4o2bob2o78bob4o2bob2o77bob4o2bob2o110b2obo2b4obo56b2obo2b4obo35bob4o2bob2o77b2obo2b4obo81b2obo2b4obo\$9b2o7b2o3bobo108bobo3b2o7b2o16b2o7b2o3bobo134b2o7b2o3bobo94bobo3b2o7b2o50bobo3b2o7b2o88b2o7b2o3bobo73b2o7b2o3bobo72b2o7b2o3bobo118bobo3b2o7b2o51bobo3b2o7b2o17b2o7b2o3bobo85bobo3b2o7b2o76bobo3b2o7b2o\$9b2o10bobob2ob2o100b2ob2obobo10b2o16b2o10bobob2ob2o130b2o10bobob2ob2o86b2ob2obobo10b2o46b2ob2obobo10b2o88b2o10bobob2ob2o69b2o10bobob2ob2o68b2o10bobob2ob2o110b2ob2obobo10b2o47b2ob2obobo10b2o17b2o10bobob2ob2o77b2ob2obobo10b2o72b2ob2obobo10b2o\$18b3obo3bobo102bobo3bob3o34b3obo3bobo140b3obo3bobo88bobo3bob3o56bobo3bob3o106b3obo3bobo79b3obo3bobo78b3obo3bobo112bobo3bob3o57bobo3bob3o35b3obo3bobo79bobo3bob3o82bobo3bob3o\$18bo2bo4bobo10b2o78b2o10bobo4bo2bo34bo2bo4bobo10b2o128bo2bo4bobo10b2o64b2o10bobo4bo2bo44b2o10bobo4bo2bo106bo2bo4bobo10b2o67bo2bo4bobo10b2o66bo2bo4bobo10b2o88b2o10bobo4bo2bo45b2o10bobo4bo2bo35bo2bo4bobo10b2o55b2o10bobo4bo2bo70b2o10bobo4bo2bo\$19b2o6bo11b2o78b2o11bo6b2o36b2o6bo11b2o129b2o6bo11b2o64b2o11bo6b2o45b2o11bo6b2o108b2o6bo11b2o68b2o6bo11b2o67b2o6bo11b2o88b2o11bo6b2o46b2o11bo6b2o37b2o6bo11b2o55b2o11bo6b2o71b2o11bo6b2o!`

Amazing!
One big dirty Oro. Yeeeeeeeeee...

gameoflifemaniac

Posts: 726
Joined: January 22nd, 2017, 11:17 am
Location: There too

### Who is online

Users browsing this forum: No registered users and 9 guests