Elementary 1D CA Unit Cell

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Extrementhusiast
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Elementary 1D CA Unit Cell

Post by Extrementhusiast » November 25th, 2013, 5:39 pm

After about a month of work behind-the-scenes, I now present to you the fruits of that effort: a p7360 unit cell that simulates any elementary cellular automaton:

Code: Select all

x = 1032, y = 631, rule = B3/S23
3b2o1022b2o$2bo2bo1020bo2bo$bob2obo1018bob2obo$obo2bobo16bo999bobo2bob
o$obo2bobo15bobo998bobo2bobo$bob2obo16bobo176b2o5b2o814bob2obo$2bo2bo
16b2ob2o171b2o2b2o5b2o2b2o811bo2bo$3b2o193b2o13b2o812b2o$21bo5bo$20b3o
3b3o$19b2o2bobo2b2o173bo5bo$19b2ob2ob2ob2o172b3o3b3o$22b2ob2o174b2o2bo
bo2b2o$20bobo3bobo172bo3bobo3bo$19bo2bo3bo2bo171bob2o3b2obo$22bo3bo
174b2o7b2o$19bobo5bobo165b2o$20bo7bo166b2o2$186bo3b3ob3o$27bo143b2o12b
obo2b4o3bo$26bobo142b2o12bo3b2o6bo$186bo2bo3b2obo11b3o$24bo5bo156b3o3b
o14b3o$27bo179bo3bo$24b2o3b2o156b3o3bo12bo5bo$186bo2bo3b2obo10b2ob2o
205b2o$185bo3b2o6bo219b2o$185bobo2b4o3bo9b2ob2o$24b2o3b2o155bo3b3ob3o
9bo5bo$20b2o5bo174b2o3bo3bo$20b2o2bo5bo164b2o5b2o4b3o$195b2o11b3o$26bo
bo$27bo2$411bo5bo$410b3o3b3o$410bob2ob2obo$412b2ob2o$412b2ob2o$412b2ob
2o10$412b2ob2o$413bobo$413bobo$414bo6$340bo$339bobo$339bobo$338b2ob2o
2$336bob2ob2obo$336bob2ob2obo$335b2o7b2o$335b2o7b2o$335b3o5b3o$337b3ob
3o$339bobo$336bo2bobo2bo$335bo2bo3bo2bo$336b2o5b2o5$326bo50bo$325bobo
48bobo$325bobo48bobo$324b2ob2o46b2ob2o2$374bo5bo$373b3o3b3o$372b2o2bob
o2b2o$336b2o34b2ob2ob2ob2o$336b2o37b2ob2o$373bobo3bobo$372bo2bo3bo2bo$
375bo3bo$324bo3bo43bobo5bobo$324bo3bo44bo7bo3$321b2obo3bob2o42bo$165bo
156b3o3b3o42bobo$164bobo156bo5bo$371bo5bo$158b2o2bo5bo205bo$158b2o5bo
50b2o3b2o8bo139b2o3b2o$162b2o3b2o46bo2bobo2bo7bo2b2o$214bo9bo5bo5bo$
213b2o9b2o5bobo2b2o$214bo9bo6bo3b2o3bo130b2o3b2o$162b2o3b2o46bo2bobo2b
o9b3o4b3o131bo5b2o$165bo50b2o3b2o20bo127bo5bo2b2o$162bo5bo64b3o4b3o$
231bo3b2o3bo74bo5bo14b2o30b3o2bobo$164bobo48b2o14bobo2b2o76b3o3b3o12b
2o33bo3bo$165bo49b2o13bo5bo76b2obo3bob2o13bo31bo$231bo2b2o$231bo143b2o
bo$158bo7bo149bo3bo49b3o2b2o2bo$157bobo5bobo148bo3bo50b2o6bo$160bo3bo
194bo12b3o3b4o$157bo2bo3bo2bo189b3o13bo3bo3b3o$158bobo3bobo189bo27bo$
160b2ob2o192b3o13bo3bo3b3o$157b2ob2ob2ob2o191bo12b3o3b4o$157b2o2bobo2b
2o203b2o6bo$158b3o3b3o203b3o2b2o2bo11bo$159bo5bo209b2obo10b3o$388bo$
160b2ob2o151b2ob2o67b2o$161bobo153bobo74b2o$161bobo153bobo74bo$162bo
155bo73bobo$392b2o2$59bo$54bo3bo$39b2o12bo7bo$39b2o12bo2b2o5bo73b2o5b
2o237b2o$54b2o5b2obo68b2o2b2o5b2o2b2o233bo2b2o2b2o$55b3o3b2ob3o66b2o
13b2o234b3o$67bo317bo12b2o$55b3o3b2ob3o331bo$54b2o5b2obo331bobo$53bo2b
2o5bo332b2o$53bo7bo$54bo3bo$59bo77bo7bo$136bo2bo3bo2bo$130b2o8bobo$
130b2o8bobo$140bobo219b2o$136bo2bo3bo2bo216bo163bo3b3o$106b2o8b3o12b2o
4b3o3b3o214b3o8b2o139b2o12bobo2b5o$106b2o8bo3bo10b2o227bo11bo139b2o12b
o3b2o$116bo4bo247b3o155bo2bo3b2obo$117bo3bo247bo158b3o3b2ob3o$382b2o
156bo$117bo3bo261bo144b3o3b2ob3o$116bo4bo258b3o144bo2bo3b2obo$116bo3bo
10b2o247bo145bo3b2o$116b3o12b2o393bobo2b5o$527bo3b3o$137b2o$130b2o5b2o
$130b2o2$994bo$52b2o939bobo$52b2o939bobo$992b2ob2o4$991bo5bo$990b3o3b
3o$52b3o3b3o928b2o2bobo2b2o$52bo2bobo2bo928bo3bobo3bo$51bo3bobo3bo927b
ob2o3b2obo$51b4o3b4o927b2o7b2o$52bo7bo3$914b2o3bo$914b3obob2o4b2o$914b
3o4bo4b2o$902bo14bo3bo68b3o$900b3o15b3o69b3o$899bo89bo3bo$900b3o15b3o
67bo5bo$479bo422bo14bo3bo67b2ob2o$480bo3bo429b3o4bo$471b2o2b2o8bo428b
3obob2o67b2ob2o$54b2ob2o412b2o2bo5b2o2bo428b2o3bo68bo5bo$55bobo417bobo
5b2o11bo492bo3bo3b2o$55bobo418b2o3b3o12b3o491b3o4b2o$56bo442bo490b3o$
476b2o3b3o12b3o$475bobo5b2o11bo$475bo5b2o2bo$475b2o8bo$480bo3bo$479bo
3$499b2o526bo$6b2o491b2o5bo520bo2b2o$5bobo497b3o521bobo$5bo498bo3bo
520bo$4b2o498b2ob2o519b2o2$505b3o$505b3o439b2o5b2o$943b2o2b2o5b2o2b2o$
943b2o13b2o4$501b2ob2o$501b2ob2o$501b2ob2o$499bob2ob2obo$499b3o3b3o$
500bo5bo2$947bo7bo$945b2ob2o3b2ob2o2$948bobobobo$946bo3bobo3bo$501b2ob
2o440bo2b2ob2o2bo22b2o$502bobo442b3o3b3o23b2o$502bobo443bo5bo$503bo
458b2o2bobo$961b3obo3bo10b2o$960b2o6bo11b2o$961bob5o$947b2o13b3o$947b
2o$962b3o$961bob5o$196bo763b2o6bo11b2o$196b3o762b3obo3bo10b2o$199bo
762b2o2bobo$198b2o$979b2o$979b2o2$197bo$196bobo$197bo$69bo494bo$69b3o
129b2o287bo72b4o9bo333b2o$72bo128b2o274b2o12bo3bo59b2o4b2o3bo9bo2b2o
318bo10bo2bo6b2o$71b2o111b3o3bo13bo4b2o266bo8b2o8bo58bo5b2o12bo5bo316b
2o9bo11bo$58bo123b5o2bobo12b3o3bo267bo7bo5b2o2bo59bo4b3o12bobo2b2o314b
2o10bobob2o5bo$58b3o125b2o3bo11bobo3bo265b3o8bobo5b2o11bo45b3o20bo3b2o
3bo305bo6b2o2b2o7bo9b3o$61bo31b2o85bob2o3bo2bo12b2o5b3o262bo11b2o3b3o
12b3o43bo24b3o4b3o301b3o19b2o10bo$60b2o31b2o83b3ob2o3b3o22bo297bo77bo
299bo21bobo$54b2o106bo3bo10bo309b2o3b3o12b3o68b3o4b3o301b3o18bobo$55bo
105bo5bo10b3ob2o3b3o296bobo5b2o11bo68bo3b2o3bo305bo6b2o2b2o$55bobo103b
o18bob2o3bo2bo301b2o2bo79bobo2b2o314b2o$56b2o103b2o3bo8bo10b2o3bo304bo
78bo5bo316b2o$163b3o9b3o4b5o2bobo290bobo6bo3bo64bob2o12bo2b2o318bo13b
2obo$178bo5b3o3bo11b2obo274b3obobo3bo67b3ob2o12bo338b4o$72b2o89b3o9b3o
24b2ob3o271bo77bo361bo$71bob2o86b2o3bo8bo32bo271b3ob2o72b3ob2o349b2ob
3o26bo17bo$69bob2o12b2o6b3o3b3o48b2o9bo40b2ob3o16b2o256bobo2bo72bobo2b
o345bo2bobo27bobo6b3o6bobo$57bo13bo2bo3b2o5bobo5bo2bobo2bo48b2o9bo5bo
32bo2bobo17bobo15b2o243b2o76b2o345b2o29b3o2bo5bo2bo4bo2b3o$56bobo10bob
ob2o3b2o7bo5bo7bo60bo3bo33b2o21bo17b2o698bo3b2obo4bo6bob2o3bo$56bobo
12bob2o12b2o134b3o716b3o2bo5bo7bo2b3o$55b2ob2o8b2o2bo5b2o14bo5bo843bob
o7bobo5bobo$72bo5b2o15b2ob2o373b4o68b3o372b3o7b2o13bo17bo$68b2obo400b
2o2bo66b2obob2o8b3o358bo4bo4bo2bo$70bo152b3o245b2o2bo67b2o5bo5bo3bo
357bo5bo4bo2bo$75b2o137b2o7bo17b2o229bo2bo13bo53b2obob2o5bo4bo6bo341bo
9bo8bo3bo$75b2o137b2o7bobo15b2o230b2o14b3o53b3o7bo3bo7b3o337b3o10b2o8b
2o$224b2o266bo77bo335bo$81b2o390b2o14b3o63bo3bo7b3o337b3o10b2o8b2o$81b
obo388bo2bo13bo65bo4bo6bo341bo9bo8bo$54bo5bo22bo380b2o5b2o2bo66b2o12bo
3bo357bo5bo8b2o$53b3o3b3o21b2o379b2o6b2o2bo65b2o14b3o358bo4bo9bo$52b2o
b2ob2ob2o32b2ob2o54bo111bo111bo94b4o13bo111bo111bo111bo93b3o7bo7bo$51b
3o7b3o32bobo55b3o109b3o109b3o109b3o109b3o109b3o109b3o101bo2bo4b3o$96bo
bo58bo111bo111bo111bo111bo111bo111bo111bo$53bo7bo8bo26bo58b2o110b2o
110b2o110b2o110b2o110b2o110b2o110b2o20b2o$68b2o892bo$69b2o889bobo$960b
2o$148b4o88b4o88b4o88b4o88b4o88b4o88b4o88b4o88b4o$60bo86bo3bo87bo3bo
87bo3bo87bo3bo87bo3bo87bo3bo87bo3bo87bo3bo87bo3bo$59b3o89bo91bo91bo91b
o91bo91bo91bo91bo91bo$59bo2bo84bo2bo88bo2bo88bo2bo88bo2bo88bo2bo88bo2b
o88bo2bo88bo2bo88bo2bo$58bobobo$59b3o$53b2o5bo49bo111bo335bo111bo$53b
2o55b3o109b3o333b3o109b3o$113bo111bo335bo111bo$112b2o110b2o334b2o110b
2o$99bo111bo335bo111bo$99b3o109b3o333b3o109b3o$102bo111bo335bo111bo$
101b2o110b2o334b2o110b2o$95b2o14bo95b2o334b2o110b2o$96bo14b3o94bo335bo
7b2o102bo$96bobo10b2o2bo94bobo333bobo4bo2bo3b3o95bobo16bo$97b2o110b2o
334b2o4b3o3b4o96b2o15bobo$105b5o8b3o430bobo2bo8bo3bo103bo$20bo84bo3bob
o2bobob3o418b2o15bo2b2o4bo2b2o103bo2b3o$19bobo56b2o25b2obo3b2obo5bo68b
o3bo112b2o112b2obo104b2o7b4o12bo2b3obo6b3o102b2o3b2o67b4o106b3o3bo$19b
obo55bo2bo12b2o12b2o10b2o68bo5bo9b2o19bo79b2ob2o6b2o97b3o2b2o2bo3b2o
96b2o2bo6bobobo9b3o6bo75b2o14b2o19b2ob2o67b2o2bo14b2o88b5o2bobo12b2o$
18b2ob2o49bo4bo2b2o11b2o21b2o2bo5b2o67bo9b2o20b2o9b2o67bo2bo6b2o98b2o
6bo3b2o96b6o4b3ob2o10b5o4b2o10b2o60b2o15b2o18b2ob2o8b2o57b2o2bo15b2o
92b2o3bo12b2o$69bo3bo3bo2bo45bobo52bo8bo3b2o30b2o4bo5bobo52bo13bo2bo
94bo12b3o3b2o91bo9b4o5bob2o15bo6bo4bo6bobo52bo7b5o31bo2bo9bobo52bo4bo
2bo103bob2o3bo2bo$67b7o5bo48bo4b2o4b2obo6b2obo26b3o9b3o32b2o4bobo5bo
10b2obo4b2o4b2o24b3o14b2o53b2obo6b2obo26b3o13bo3bo55b2o4b2obo26b3o18bo
b2o27bo8bo20b2obo26b3o8b4o31bo2bo11bo18b2o4b2o24b3o5b2o72b2obo26b3ob2o
3b3o74b2o$66bo61b2o3bo5bob2o6bob2o25bo43bo12bo4b2o9bob2o4bo5bo24bo72bo
b2o6bob2o25bo76bo5bob2o25bo40b2o4bo14b2o19bob2o25bo46b2o13b2o17bo5bo
24bo21bo3bo56bob2o25bo86bo$67b7o5bo54bo8b2o2b2o4b2o24b3o9b3o29bo25b2o
9bo5bo24b3o14b2o57b2o8b2o24b3o13bo3bo56bo2b2o30b3o18bob2o17bo3bo33b2o
4b2o24b3o8b4o8b2o56bo5bo24b3o5b2o10bobobobo59b2o24b3ob2o3b3o75bo$69bo
3bo3bo2bo52b2o8bo3bo5bo27bo8bo3b2o27bo3b2o3b3o14bo9b2o4b2o26bo13bo2bo
56bo9bo27bo12b3o3b2o53b2o2bo33bo9b4o5bob2o55bo5bo27bo7b5o5b2obobo54b2o
4b2o26bo4bo2bo7b2o2bobo2b2o57bo27bob2o3bo2bo73b2o$72bo4bo2b2o62bo3bo5b
o40bo30b2obo20bo10b2obo42bo2bo57bo9bo38b2o6bo58bo42b6o4bo2bo55bo5bo33b
2o9b2o3b2o55b2obo32b2o2bo7b2o7b2o58bo32b2o3bo$77bo2bo30b2o20b2o8b2o2b
2o4b2o34bo5bo30bo2b2o18b2o10bob2o41b2ob2o56b2o8b2o37b3o2b2o2bo53b2o2b
2o42b2o2bo6b2o19b2o34b2o4b2o34b2o8b2obobo18b2o36bob2o33b2o2bo6b2o2bobo
2b2o57b2o28b5o2bobo72b2o$78b2o31b2o20bo5b2obo6b2obo37bo3bo33bo22b2obo
10b2o40b2o54b2obo6b2obo44b2obo54bo5b2obo40b2o7b2o19b2o36b2obo49b2o19b
2o40b2o32b4o8bobobobo55b2obo32b3o3bo73bo$134bo4bob2o6bob2o98bob2o10bo
97bob2o6bob2o103bo4bob2o108bob2o112bo46bo3bo56bob2o43bobo67bo$101b3o
29b2o2b2o8b2o4b2o9bo48b3o33b2o4b2o9bo9bo90b2o2b2o15bo90b2o2b2o4b2o9bo
48b3o43b2o4b2o9bo48b3o50bo9bo94b2o15bo30bob2o66b2o9bo$100bo21b2o13bo9b
o5bo8b3o47bo21b2o13bo5bo9b2o7b3o90bo3bo14b3o94bo5bo8b3o47bo21b2o23bo5b
o8b3o47bo21b2o29b2o7b3o94bo14b3o32bo76b3o$15b3o5b3o74bo3bo17bobo8b2o3b
o9bo5bo6bo50bo3bo17bobo13bo5bo16bo94bo3bo12bo93b2o3bo5bo6bo50bo3bo17bo
bo23bo5bo6bo50bo3bo17bobo36bo98bo12bo34bo68b2o6bo$15b3o5b3o74bo2bobo
18bo8bo3b2o8b2o4b2o6b2o49bo2bobo18bo12b2o4b2o16b2o37bobo52b2o2b2o12b2o
92bo3b2o4b2o6b2o49bo2bobo18bo22b2o4b2o6b2o49bo2bobo18bo36b2o96b2o12b2o
102bo7b2o$16b2o5b2o77bobo2bo16b2o8bo4b2obo6b2obo61bobo2bo16b2o13b2obo
10b2o46b2o48b2obo6b2obo103bo4b2obo61bobo2bo16b2o23b2obo61bobo2bo16b2o
27b2o106b2obo113bo$18bo3bo80bo3bo25b2o4bob2o6bob2o62bo3bo31bob2o10b2o
46bo49bob2o6bob2o102b2o4bob2o62bo3bo41bob2o62bo3bo45b2o106bob2o112b2o$
16bo2bobo2bo82bo111bo193b3o139bo111bo$15bo3bobo3bo78b3o109b3o196bo136b
3o109b3o$16bo2bobo2bo389bo495b2o$16b3o3b3o741bobo141bo$767b2o139bobo$
219bo547bo140b2o$218bo$210bobo5b3o$16b2o193b2o$16b2o193bo$515b3o147bo$
517bo143bob2ob2o$92b2o110b2o5bo304bo23b2o110b2o6bo6bo$56b2o34b2o74b2o
34b2o5bo68b2o110b2o110b2o34b2o74b2o34b2o7b4ob2o60b2o110b2o$26b2o29bo
34b2o75bo40b3o68bo111bo111bo111bo44b2o65bo111bo$26b2o29bobo32b3o3b3o
68bobo109bobo109bobo109bobo3bo105bobo109bobo109bobo$32b3o23b2o32bobo3b
obo69b2o37b2ob2o68b2o110b2o110b3obobo105b2o110b2o110b2o$31bo3bo29bo26b
o2bobo2bo108b2ob2o294b4o431bo$31b2ob2o28b3o27b2ob2o111bobo295b2ob2o
429b3o$64bo2bo143bo81b2o215bob2o339b2o87bob2o$31b2ob2o29b2obo224b2o
109b3o109bobo334b2o88b3o$33bo31b2ob2o331bo4bo106bo5bo423b2o$68bo332bo
5bo103bob2o5bo$92b2o5b2o36bo111bo44bo66bo45bo65bo35b2o5bob2o65bo66b3o
3b3o36bo45bo65bo111bo$52b2o7b2o2bo2bo23b2obobob2o34b3o26b2o37b3o5b3o
33b3o26b2o15bobo63b3o26b2o11b2o68b3o26b2o8bo5bo66b3o26b2o37bo2bo3bo2bo
33b3o26b2o17bo2b2o59b3o26b2o81b3o$26bo7bo18bo6bo7bo6b2o15bo2bobo2bo33b
o30bo38b3o3b3o33bo30bo10bo3bo3bo61bo30bo9bo3bo66bo30bo7b2o6bo5b2o16bo
5bo34bo30bo10b3o8b2o18bobo36bo30bo13bo5b3o58bo30bo80bo$25bo2bo3bo2bo
17bobo5b2o2bo2bo6b2o15b3o3b3o33b2o29bobo34bob4ob4obo31b2o29bobo7bob2ob
o2bo62b2o29bobo7bob2o2bo64b2o29bobo7b6o6b2o15b3o3b3o33b2o29bobo7bo2bo
4bo3b2o18bobo36b2o29bobo11b8o59b2o29bobo78b2o$29bobo22b2o8bo61b2o38b2o
17b2o16b2o2bobo2b2o24b2o38b2o7bob2o2b2o8bo46b2o38b2o7bo3bo58b2o38b2o
11bobo21bo3bobo3bo24b2o38b2o6bo3bo3bobo22bobo28b2o38b2o10bo5b2o52b2o
38b2o5bo2b2o60b2o$29bobo31bo3b2o57b2o56bobo17b3o3b3o25b2o46bo2b3o10bo
2bo44b2o49bobo59bo75bo9bo24b2o46bo7bobo18bo2bo3bo2bo24b2o50bo59b2o45b
2o10b2o51b2o$29bobo31bo3bo116bo20bo5bo70bob2ob2ob2o3bo6bo3bo94b3o136b
3o3b3o76bo26bo7bo77b4obo100bo5bob2o3bob2o$25bo2bo3bo2bo148b2o96bob3o3b
2o3bo4bo321b2obo116bo5b2o95b3obobo2bobo3bo$26b3o3b3o31bo119bo94bo2bo7b
o2bo3b3o2bo160bo282b2o95b3o8b5o$62bo4bo15b2o110b2o85bo11bo4bobo6bo110b
2o39bo5bo64b2o110b2o110b2o110b2o$63bo3b2o14bobo109bobo102b2o4b2obo109b
obo38bo3b3o64bobo8b2ob2o78bob2o14bobo95b2ob2o9bobo94bo2b2o10bobo$63bo
4bo16bo98bo12bo111bo111bo111bo7bobobobo77b3o17bo95b2ob2o11bo94b3o14bo$
64bo2bo17b2o98b2o10b2o110b2o110b2o110b2o8bobo80bo18b2o110b2o95bo14b2o$
65b2o12b2o110b2o110b2o110b2o110b2o14bobo93b2o110b2o110b2o$79bo14b2ob2o
92bo14b2ob2o92bo111bo111bo14b2ob2o92bo14b2ob2o92bo111bo55bo$80b3o12bob
o94b3o12bobo94b3o109b3o109b3o12bobo94b3o12bobo94b3o109b3o53bo$28b2ob2o
49bo12bobo96bo12bobo96bo111bo111bo12bobo96bo12bobo96bo111bo51b3o$29bob
o36b2o26bo83b2o26bo83b2o110b2o110b2o26bo83b2o26bo83b2o110b2o$29bobo36b
o3bo107bo111bo3bo107bo111bo3bo107bo111bo3bo107bo$30bo38b4o108b3o109b4o
108b3o109b4o108b3o109b4o108b3o$183bo223bo223bo223bo$71b4o220b4o220b4o
220b4o$70bo3bo219bo3bo219bo3bo219bo3bo$70b2o222b2o222b2o222b2o$84bo
223bo223bo223bo$82b3o221b3o221b3o221b3o$81bo223bo223bo223bo58bobo$81b
2o222b2o160b3o59b2o138bo83b2o58b2o$295b5o167bo2bo198b2o142bo$293bo5bo
167bo200bobo$137b2o110b2o42bo67b2o104bo5b2o110b2o110b2o110b2o110b2o$
137b2o3bo106b2o3bo42bo63b2o3bo101bobo2b2o3bo106b2o3bo106b2o3bo37bo68b
2o3bo106b2o3bo$141bobo109bobo44b2o63bobo109bobo109bobo109bobo35b3o71bo
bo109bobo$142bobo70bo38bobo37bo5b2obo62bobo109bobo109bobo109bobo33bo2b
2o71bobo109bobo$69b2o73bo70b2o39bo37bo5bobo65bo111bo111bo111bo32b2o3b
2o72bo111bo$33bo34bo2bo72b2o68bobo39b2o35bobo5bo66b2o110b2o110b2o110b
2o32bobo2bobo70b2o110b2o$32bobo21b2o9bo3b3o206b2o13b2o2bo204b2o222b2o
9b2o3b2o$32bobo20bobo5b2o6bob3o2bo200bobo11b4o206bobo9b3o209bobo19b2o$
31b2ob2o19bo7b2o3b2obobo4bo3b2o195bo15b4o7b2o195bo10bo2bo12b2o195bo21b
2o3b2o8b2o$32bobo19b2o13bobo206b2o18bo203b2o10bo4bo206b2o35bo2bo$32bob
o28b2o5bo2bo7bo3bo219bo3bo6bo196b2ob2obo9bo3bo219bo3bo7bo$30bobobobo
26b2o6b3ob2o3bo4bo218bo4bo5bobo195b2obo2bo8bo4bo218bo4bo$31b2ob2o35b3o
5bobobo74bo5bo138bobobo7bo2bo196b4o8bobobo219bobobo175b2o10bo3bo$78bob
obo60bob2o11bo5bo96b2o39bobobo8bo2bo170b4o23b3o7bobobo69bo3b3o104b3o7b
2o27bobobo77b3o94b5o7b2obobob2o$66b2o8bo4bo26bo33bo2b2o2b3o108bo2b2o
35bo4bo10bo2b3o3b2o8bo41b2o110bo2b2o30bo4bo27b2o40bobo2b5o101bo4bo4bo
2bo24bo4bo65b3o8b2obob2o91bo4bo6bob2o3b2obo$66b2o8bo3bo17b2o8b2o32bo6b
2o3b2o11b2o90b6o35bo3bo12b2o5bo2bo7bo2b2o38b2o110bo2b2o29bo3bo27bo42bo
3b2o3b2o99bo5bo4bo2bo24bo3bo22bo3b2o38bo3bo5bo5b2o91bo2b3o5bo2bo5bo2bo
$29b3o3b3o59bo2bo5bob3o29b4o3b3o102bo3bo4b4o56bo6bo5bo5bo23bo9b5o97bo
13bo2bo61bo2b2o28bo11bo2bo3b2o91bo9bo8bo3bo49b2obob3o31bo6bo4bo5b2obob
2o87bo3b2o2bo7bob2o3b2obo$28bo9bo21b2o16b2o16b3ob2o8b2o26b3o3bo3bo9bo
5bo85b7o27b2o16b2o14bo9b2o5bobo2b2o20b3o9b4o96b3o14b2o15b2o16b2o27bo2b
o27b3o12b3o3bo90b3o10b2o8b2o9b2o16b2o21bo4b3o29b3o7bo3bo7b3o38bo48b3o
5b2o9b2obobob2o$28bo3bobo3bo20bobo35bob2o8b2o9bo16bo20bo5bo84bo33bobo
32bo9bo6bo3b2o3bo16bo111bo33bobo45bobo10bo16bo111bo33bobo39bo3bo14bo
16bo63b2o46bo21bo3bo$29b3o3b3o21bo38bo10bo10b3o15b3o3bo3bo101b7o26bo
35bo2bobo2bo9b3o4b3o15b3o9b4o96b3o14b2o14bo48b2o10b3o15b3o12b3o3bo90b
3o10b2o8b2o8bo42b3o15b3o15b3o7bo3bo47bobo47b3o5b2o$30bo5bo21b2o63bo16b
4o3b3o102bo3bo4b4o17b2o37bo3b2o20bo16bo9b5o97bo13bo2bo12b2o63bo16bo11b
o2bo3b2o91bo9bo8bo10b2o63bo16bo6bo4bo99bo3b2o2bo$64b2o43bo10b3o19bo6b
2o13b2o93b6o11b2o10b2o47b3o4b3o31b2o8b2o100bo2b2o5b2o10b2o42b2o10b3o
28bo3b2o3b2o2b2o95bo5bo8b2o10b2o36b3o15b3o24bo3bo12b2o90bo2b3o14b2o$
65bo43b2o9bo21bo2b2o2b3o12b2o94bo2b2o11b2o11bo45bo3b2o3bo32b2o9b2o99bo
2b2o6b2o11bo41bobo10bo30bobo2b5o3b2o96bo4bo9bo11bo35bo3bo14bo26b3o14b
2o90bo4bo14b2o$62b3o30b2o13b2o31bob2o114b2o23b3o30b2o14bobo2b2o77bo69b
4o17b3o30b2o10bo2bo41bo3b3o104b3o7bo12b3o30b2o4bo4b3o148b5o$62bo32b2o
9bob3o175bo32b2o13bo5bo78b2o89bo32b2o10bo2b2o161bo2bo9bo32b2o4b2obob3o
150b2o$108b2o225bo2b2o78bobo135bo218bo3b2o$108bo226bo221b2o3$131b3o$
131bo2bo$131bo$29b2o100bo$29b2o101bobo386bo400b2o$521b2o399bobo$520bob
o401bo$62b2o110b2o110b2o110b2o110b2o110b2o110b2o110b2o76b2o$63bo111bo
111bo111bo111bo111bo111bo111bo$39b2o22bobo109bobo109bobo109bobo109bobo
109bobo109bobo109bobo$39b2o23b2o110b2o110b2o110b2o110b2o3bo106b2o110b
2o110b2o$516b3o$71bo443bo5b2o$70bobo226b2o214bob2o228b2o110b2o$69b2ob
2o225b2o109b2o104b2o2bo226b2o110b2o$69b2o2bo336b2o107b2o2b2o223b3o$40b
o5bo23bob2o333b3o108b2o2bob3o221b4o$39b3o3b3o22b3o335bo2b2o103b2o2bo
226bo4bo$38b2o2bobo2b2o9b2o8b4o98b2o18bo91b2o17bo92b2o11b3ob2o93b2o12b
o97b2o110b2o15bob2o91b2o146b2o3b2o9b2o$38bo3bobo3bo10bo6b3o12b2o88bo
18bo92bo15b2o94bo14b2o95bo7bo3b2o8b2o88bo21b2o88bo14bo4bobo89bo145bob
2ob2obo8bobo$38bob2o3b2obo10bobo9b2o8b2o88bobo69b3o37bobo9bo2bo2bo93bo
bo8b2o2bo37bo58bobo6b2obobo7b2o88bobo9bo3b2o4b2o88bobo11bob3obo91bob2o
142bo7bo8bob2o$38b2o7b2o11b2o5b2o2b2o42b2o55b2o51b2o3bo12bo2bo37b2o7b
2o3b2o9bo86b2o9b3o37bo2bo57b2o10b3o33b2o62b2o8b3ob4o27b2o2bobo60b2o10b
o4b2o31b2o60bo4b2o5bobo35bo3bo90bob2ob2obo9b2o5bo$71b2o42bobo7b2o61bo
2b3o31b3obob2o4b2o4bo47bo2bo2bobo8bobo25b4o5b6o57bo37b5o10b2o59b2o31bo
bo15b2o54b2o6bo26b3obo3bo12b2o58b4o32bo2bo12b2o50b2o3b2o7bo29bo5bo9b2o
79b2o3b2o10bo6b3o$71b2o44bo7b2o58bo2bo2bo33b3o4bo4b2o4bo48bob2ob2o9bo
2bo24bob2o7b4o94b2ob3o10b2o59b2o30b2obo15b2o53b3o5bo26b2o6bo13b2o58b3o
28bo4bo2b2o11b2o53bob2ob2o4b2o34bo9b2o106bo$73bo27bo13b3o68bo4bo21bo
14bo3bo11bobo42b5o5b2o5b2o2b2o13bo10bo7bob2o89bo8bob2o99bo5b2o73bo4bo
25bo2bob5o83b2o17bo3bo3bo2bo61b2o4bo3b3o5b2o19bo8bo3b2o107bo6b3o$70b2o
27b3o90b3o16b3o15b3o56b2o4bo4b2o5b5o12b3o11b2o5b2o89b3o9b2o98b3o6bo74b
o27b3o3b3o86b2o15b7o5bo64bo3bo4bobo4bo18b3o9b3o109b2o5bo$70b3o16b2o7bo
93b2o7b2o7bo78bo9b2o5b2obo3b2o7bo102b2o7bo102b2o7bo84bo2bo14b2o7bo19bo
bo3bobo74b2o7bo79b2o6b2o2b2o9b2o7bo106b2o15bob2o$69bo3b2o14bobo7b3o99b
obo7b3o15b3o62bo13bo4bobo7b3o11b2o5b2o79bobo7b3o9b2o8b2o78bobo7b3o6bo
10b2o3b2o57b3o15bobo7b3o3b3o12bo3bo62b2ob2o9bobo7b7o5bo75bob2o10bobo7b
3o9b3o91b2o15bobo$70bo2b2o16bo9bo13b3o85bo9bo14bo3bo57bo2bo21bo9bo10bo
7bob2o79bo9bo8bob2o6b3obo57bobo18bo9bo5b2o9bob2ob2obo76bo9bo2bob5o5bo
11bo58b2ob2o11bo9bo3bo3bo2bo75bo14bo9bo8bo3b2o106b2o$71b3o17b2o24bo69b
2ob3o10b2o20b3o4bo58bo23b2o19bob2o7bo79b2o16b2ob3o4bo4b3o55bo2bo17b2o
13b2obo8bo7bo76b2o10b2o6bo3bo3bo5bo3bo73b2o11bo4bo2b2o89b2o22bo$85b2o
28bobo72bo6b2o26b3obob2o76b2o25b4o5b3o73b2o23b5o5b3obo59bo12b2o20bobo
8bob2ob2obo70b2o17b3obo3bo3bo11bo68b2o22bo2bo84b2o22bo5bo$85bo29b2o80b
o27b2o3bo78bo111bo25bo2bo6b2o74bo22b2o9b2o3b2o71bo19b2o2bobo8bo3bo72bo
24b2o85bo24bo3bo$86b3o109b3o109b3o109b3o23bo85b3o109b3o29bobo3bobo71b
3o109b3o$88bo111bo111bo111bo111bo111bo111bo111bo$41b2ob2o28b2o110b2o
110b2o110b2o110b2o110b2o110b2o110b2o$42bobo29bo111bo111bo111bo111bo
111bo111bo111bo$42bobo30b3o109b3o109b3o109b3o103bo5b3o103bo5b3o103bo5b
3o103bo5b3o$43bo33bo111bo111bo111bo101b3o7bo101b3o7bo101b3o7bo101b3o7b
o$514bo111bo111bo111bo$514b2o110b2o110b2o110b2o$355b3o102bobo65bo111bo
111bo111bo$107b3o245bo2bo102b2o63b3o93b2o14b3o109b3o109b3o$109bo245bo
105bo63bo96b2o13bo111bo111bo$108bo246bo169b2o110b2o110b2o111bo$356bobo
263bobo234bo2bo$625bo226bobo3bo$623bob2o112bo111b2ob2o2bo$623b2ob2o
111bo111bob2o7bo$624bo3bo108bo112b3o2b4o2bo$623bo4bo107b3o3bo107b3o2b
5o$463b2o113bo44bo3bo57bo49bo3bob2o63bo44b2o2b2o49bo8b2o3b2o$117b3o3bo
85b3o22b3o225b5o106bo3bo44bo5bo55b2o8b2o40b5o52bo10b5o41b2o2bo11bo35b
2o2bo7bo2bobo2bo$115b5o2bobo86bo20bo4bo112b3o109bo4bo32b2o70bo8b2o29b
2o9b6o54b3obo5bo2bo27b2o11b3o52b2o9b2obo2bo26b2o15bo13b2o32bo5bo5bo9bo
$119b2o3bo85bo21bo5bo109bo3bo109b3o2bo31bobo70bo2b2o5bo28bobo12bob2o3b
2o47b2o8b2ob3o25bobo19b2o44b2o9bo7bo24bobo13b2obo11b2o32b2o2bobo5b2o9b
2o$113bob2o3bo2bo101bobobo7bo99bo9bo4bo96bo13bo2b2o31bo61bo11b2o5bobo
28bo10b2ob6o2b2o38bo9b2o8b2obo26bo19b3o16bo22bo6b2o2b2o5b2obo2bo25bo
17bobo41bo3b2o3bo6bo9bo$111b3ob2o3b3o100b7o5b2o98b3o9bo3bo95b3o14b2o
32b2o12bo46b3o12b3o3b2o28b2o10b2o3b3o41b3o10bo10bo26b2o19b2o16bo21b3o
18b5o25b2o18bobo38b3o4b3o9bo2bobo2bo$110bo111bo111bo111bo64b3o11b3o30b
o64bo4bo8b3o30bo78b3o8b2o20bo23bo48bo5b3o30bo20b2o3b2o$111b3ob2o3b3o
100b7o5b2o98b3o9bo3bo95b3o14b2o40b2o2b2o2bo10b3o31b3o12b3o3b2o55b3o31b
3o10bo64b3o31b3o75b3o31b3o4b3o$113bob2o3bo2bo101bobobo7bo99bo9bo4bo96b
o13bo2b2o45b2o10b3o33bo11b2o5bobo54b3o33bo9b2o64b3o9bo23bo6b2o2b2o63b
3o33bo3b2o3bo$119b2o3bo12b2o93bo5bo10b2o97bo3bo8b2o99b3o2bo5b2o47b3o
47bo2b2o5bo2b2o34b3o10b3o45b2o13b2o47b3o42b2o16b2o40b2o5b3o39b2o2bobo
14b2o$115b5o2bobo12b2o93bo4bo11b2o99b3o8b2o99bo4bo5b2o47b3o47bo8b2o2b
2o33bo2bo10b3o28bo17b3obo9b2o47b3o43b2o15b2o40b2o5b3o40bo5bo13b2o$117b
3o3bo110b3o74b3o148b5o55b3o48bo3bo42bobobo9b3o27bo2bo16b2o60b3o24b2o
18bo64b3o21b2o2bobo13b2o2bo$313bo149b2o88b4o21bo42bo3bo37b5o17bo86bobo
106b3obo3bo16bo$312bo191b2o47bob2o5bo53b2o7bo36b2ob3o60b2o41b2obo65b2o
38b2o6bo84bo$503bobo47bo6b2o2bo50bobo45bob2o9bo50bobo42b2o14bo50bobo
39bob5o12bo72b2o$503bo50b2o5b6o48bo48b2o10b3o48bo45bo14b3o48bo27b3o12b
3o15b3o68bob3o11b2o$502b2o63bo46b2o63bo46b2o63bo46b2o29bo33bo71b2o10b
2o$508b2o44b2o5b6o53b2o42b2o10b3o53b2o39bo14b3o53b2o22bo13b3o15b3o60bo
bobo6b2o$509bo43bo6b2o2bo56bo41bob2o9bo56bo38b2o14bo56bo35bob5o12bo60b
3obobo6bo$506b3o30b2o12bob2o5bo55b3o30b2o9b2ob3o62b3o30b2o6b2obo67b3o
30b2o3b2o6bo71bo$506bo32b2o12b4o61bo32b2o10b5o62bo32b2o7bobo67bo32b2o
4b3obo3bo71b3obobo6bo$413b3o248bo2bo105b2o107b2o2bobo74bobobo6b2o$415b
o249bo309b2o$414bo556bob3o$973b2o$973bo3$4bo$4bo873b2o144b2o$878bobo
143bobo$515b3o362bo145bo$58b2o110b2o110b2o110b2o110b2o9bo100b2o110b2o
110b2o36b2o144b2o$59bo111bo111bo111bo111bo8bo102bo111bo111bo$59bobo
109bobo109bobo109bobo109bobo109bobo109bobo109bobo$60b2o110b2o110b2o
110b2o110b2o110b2o110b2o110b2o$513b3o$512bobob2o$295b2o215bo230b2o110b
2o$295b2o215bo3bo226b2o110b2o$66b3o334b4o109bo$65bo2bo333b3o2bo105bobo
4b2o$65bo4bo331bo3bo112b2o225b2o$54b2o8bo101b2o18bo91b2o110b2o11bo2bo
95b2o11bo4bo2bo90b2o110b2o17b2obo89b2o$55bo8b2o5bo5b2o88bo12b2o3bobo
91bo14b5ob2o89bo11b3o97bo10b2o5b6o88bo22bo88bo15b2o2b2o90bo$55bobo6b2o
5bo5b2o88bobo10b3o2bobo91bobo6b2o2b3o96bobo109bobo7bo4bo3bob3o88bobo
19b2o88bobo13b2o94bobo$56b2o9bo100b2o11b3o96b2o4bo2bo12b2o88b2o110b2o
7b2obob2o96b2o10bo4bo94b2o12bobo95b2o4b4o$66b2ob2o111bo3b3o97bo7b2obo
6bo208b2o4bo107b2o3b2o108b2o101b2o2bo5b2o$181b2obo2b2o98bobobo3bo3bo3b
3o207b3o2b4o104b2o3b2o113bo97b2o2bo4bobob2o$68b2o119b3o96b2o3b2o7b2obo
211b5o105b2o4bo116b2o93bo2bo2b2o5bo$67bo2bo119b2o95bo5b3o4bo3b2o214b2o
106b2o120b2o94b2o6bo3bo$85b2o93bo3bo12b2o87bo2bo19b2o110b2o91b2obo2bo
12b2o110b2o110b2o92bo5bo11b2o$67bo2bo14bobo93bob2o2bo9bobo87b3o19bobo
109bobo90b2o4bo12bobo109bobo95b2ob2o9bobo92b4o13bobo$66b2obo17bo94bo2b
o2bo10bo95b2o14bo111bo91b4o16bo111bo95b2ob2o11bo94bo16bo$65b3o19b2o97b
2o11b2o94b2o14b2o110b2o90bo19b2o110b2o110b2o110b2o$66b2ob2o10b2o110b2o
110b2o110b2o95bo14b2o110b2o110b2o110b2o$66bo2b2o10bo111bo111bo111bo95b
o15bo111bo111bo111bo$67b3o12b3o109b3o109b3o109b3o93bo15b3o109b3o109b3o
109b3o$68b3o13bo111bo111bo111bo111bo111bo111bo111bo$70b2o110b2o110b2o
110b2o110b2o110b2o110b2o110b2o$70bo111bo111bo111bo111bo111bo111bo111bo
$71b3o109b3o109b3o109b3o109b3o109b3o109b3o109b3o$73bo111bo111bo111bo
111bo111bo111bo111bo4$303b2o$303b2o6$965b2o$965b2o3$303b3o3b3o$302bo2b
o3bo2bo$306bobo650bo5bo$306bobo649b3o3b3o$306bobo24bo8b2o538bo74bo2b2o
b2o2bo$302bo2bo3bo2bo20b3o6b2o537bobo73bo3bobo3bo$303bo7bo24bo544bobo
75bobobobo$335b2o13b2o8bo519b2ob2o$350bo8bobo594b2ob2o3b2ob2o$348bobo
8bobo596bo7bo$348b2o8b2ob2o$343b2o$343b2o2$305b2ob2o7b2o8bo$306bobo8b
2o6b3o$304bobobo15bo22bo531bo5bo$304b2o3b2o13b2o20bobo529bobo3bobo$
310bo36bo529bo3bobo3bo$310bobo44bo5bo513bo3bobo3bo$311b2o43b3o3b3o512b
o9bo13b2o$338b2o15b2ob2ob2ob2o533b2ob2o14b2o40b2ob2o$318b2o18b2o14b3o
7b3o511b2o5b2o12bo2bo15b2o41bobo$318b2o574bo4bo2bo58bobo$333bo8b2o12bo
7bo527b3o5b2o60bo$333b3o6b2o547bo$313bo22bo543bo3bo7b3o5b2o10b3ob3o$
312bobo20b2o13b2o526b2o14bo4bo2bo8bob2ob2obo$313bo36bo526bo3bobo3b2o
10bo2bo7b2o7b2o$348bobo12bo513bo3bobo15b2ob2o7bob2ob2obo$348b2o12b3o
513b3o20b2o9b3ob3o$321b2o20b2o17bo2bo519bo2bo$321b2o20b2o16bobobo519b
2o$362b3o$356b2o5bo630bo5b2o$356b2o635b3o4b2o$315b2o8bo21bo644b2ob2o$
315b2o6b3o20bobo$322bo24bo643bobobobo$307b2o13b2o$308bo683b2ob2o$308bo
bo27b2o652b2ob2o$309b2o22b2o3b2o654bo$331bo2bo$316b2o187bo231bo66b2o$
316b2o13bo2bo127bo37bo3bo55b3o3bo73b2obo23bo3bo24b2o2bobo33bo2bo32b2o
3bo28bo$332bo2bo81b2o2b2o4bo2b2o19b2o8b2o22b2o12bo7bo11b2o14b3o15b2o3b
5o2bobo19b2o9b2o21b2o12b3o2b2o2bo10b2o9bo5bo16b2o4b3obo3bo19b2o10b5o
17b2o13b3obob2o11b2o10b2o2bo$333bobo81b2ob2o6b2obo19b2o7b2o23b2o12bo2b
2o5bo9b2o12bo3bo15b2o2b2o3b2o3bo19b2o8b2o22b2o13b2o6bo10b2o15bo16b2o3b
2o6bo20b2o9b2ob3o17b2o13b3o4bo11b2o11bo2bo$311bo22bo86bobo6bo11bo18b2o
2b2o9bo23b2o5b2obo21bo4bo6bo13b2o3bo2bo11bo19b5o9bo24b3o3b4o20bo3b2o7b
o14bob5o12bo20bob2o9bo26bo3bo2bo22bobo8bo$310bobo109b2o4b3o11b3o31b3o
22b3o3b2ob3o19bo3bo7b3o12bo3b3o12b3o18b4o9b3o23bo3bo3b3o19b3o9b3o13b3o
15b3o19b2o10b3o25b3o3b3o20b2o9b3o$311bo21b2o110bo33bo33bo33bo33bo33bo
6bo5bo20bo33bo33bo33bo6b2o3b2o20bo33bo$333b2o87b2o4b3o11b3o31b3o22b3o
3b2ob3o9b3o7bo3bo7b3o12bo3b3o12b3o18b4o9b3o7bo5bo9bo3bo3b3o9b2obo6b3o
9b3o13b3o15b3o19b2o10b3o6b3o3b3o10b3o3b3o9b2o9b2o9b3o173b2obo3bob2o$
353bo3bo63bobo6bo11bo18b2o2b2o9bo23b2o5b2obo9b2obob2o5bo4bo6bo13b2o3bo
2bo11bo19b5o9bo24b3o3b4o10bobobo5bo3b2o7bo14bob5o12bo20bob2o9bo6b3o7b
3o7bo3bo2bo9bo3b2o7bobo8bo175bo2bo3bo2bo$319b2o20b2o9bo5bo61b2o6b2obo
28b2o37bo2b2o5bo10b2o5bo5bo3bo19b2o3b2o3bo29b2o19b2o11b2o3b2o6bo12bo4b
o9bo21b2o6bo31b2ob3o15b3o7b3o4b3o4bo12bo4bo6bo2bo123b2o60b3o3b3o$319b
2o20b2o9bo68b2o4bo2b2o29b2o36bo7bo12b2obob2o8b3o20b5o2bobo30b2o35b3o2b
2o2bo12bobobo4bo5bo22b3obo3bo31b5o15b3o7b3o4b3obob2o12bo3b2o5b2o2bo
123b2o$352b2o3bo8bo95bo37bo3bo17b3o35b3o3bo55bo5bo11b2obo14b2obo5bo3bo
24b2o2bobo33bo2bo17b3o3b3o6b2o3bo16b2o10bo61b3o53b3o$354b3o9b3o136bo
116bo5bo108bo20b2o3b2o39b2o49b3o8b2obob2o50bo3bo$316b2o3b2o6bo39bo485b
o3bo5bo5b2o50b2ob2o$303bo3b2o6b3o3b3o4b3o23b3o9b3o479bo6bo4bo5b2obob2o
$301b2obob3o4b3o7b3o26b2o3bo8bo479b3o7bo3bo7b3o52b2ob2o67b2ob2o$301bo
4b3o4b3o7b3o3b2o21bo492bo79bo70bobo$298bo2bo3bo7b3o7b3o3b2o21bo5bo487b
3o7bo3bo135bobo$296b3o3b3o10b3o3b3o5b2o22bo3bo490bo6bo4bo136bo$295bo
20b2o3b2o6b2o524bo3bo12b2o$296b3o3b3o24b2o524b3o14b2o50bo7bo$298bo2bo
3bo617bo2bo3bo2bo$301bo4b3o13b2o603bobo$301b2obob3o13b2o492b2o109bobo$
303bo3b2o48b2o457b2o109bobo$339b2o16bobo563bo2bo3bo2bo$339bobo15bob2o
563b3o3b3o$330b2o7bo18b2o5bo$328b2ob2o25bo6b3o$328bo2bo36bo$323bo4bo2b
o26bo6b3o46b2o19b2o3b2o8bo30bo30b2o58bo3bo$321b3o5b2o27b2o5bo47bo20bo
2bobo2bo7bo2b2o16b2o8b2o27b5o35b3o18bobobobo8b4o17b2o7b2o30b2o37b2o18b
2o3b2o9b2o59b2o$320bo36bob2o51bo2b2o16bo9bo5bo5bo14bo2bo5bob3o25bo4bo
34bo4bo14b2o2bobo2b2o6bo2b2o16b2o6bo2b2o26b2ob2o35bo2bo16bob2ob2obo8bo
bo17b3o5b4o28bobo$321b3o5b2o26bobo52bo2bo16b2o9b2o5bobo2b2o12b3ob2o8b
2o24bo2b3o33bo5bo14b2o7b2o7bo2b2o14bo2bo4b6o26bo2bo35b2o2bo4bo11bo7bo
8bob2o16bo7b2obo28bo26bo5bo$323bo4bo2bo25b2o53bobo10bo7bo9bo6bo3b2o3bo
10bob2o8b2o9bo15b2o2bo13bo21bo7bobobo7b2o2bobo2b2o7bo2bo4bo11b2obo5b4o
9bo16bo2bo13bo22bo2bo3bo3bo8bob2ob2obo9b2o5bo11b2obo7bo10bo17b3o13bo9b
3o3b3o108b2ob2o$328bo2bo81b2o10b3o6bo2bobo2bo9b3o4b3o9bo10bo10b3o15b2o
14b3o20b2o5b7o7bobobobo10b2o5b3o9b2obo18b3o15b2o14b3o21bo5b7o7b2o3b2o
10bo6b3o11b2o5b2o11b3o31b3o7bob2ob2obo109bobo$328b2ob2o95bo6b2o3b2o20b
o33bo33bo33bo7bo3bo21bo33bo33bo33bo33bo33bo33bo8b2ob2o111bobo$330b2o
81b2o10b3o24b3o4b3o20bo10b3o15b2o14b3o20b2o5b7o24b2o5b3o9b2obo18b3o15b
2o14b3o21bo5b7o24bo6b3o11b2o5b2o11b3o31b3o9b2ob2o112bo$412bobo10bo24bo
3b2o3bo22b2o9bo15b2o2bo13bo21bo7bobobo25bo2bo4bo11b2obo5b4o9bo16bo2bo
13bo22bo2bo3bo3bo26b2o5bo11b2obo7bo10bo17b3o13bo11b2ob2o$400b2o10bo2bo
18b2o14bobo2b2o11b2o13b2o17b2o5bo2b3o21b2o10bo5bo15b2o15bo2b2o12b2ob3o
4b6o18b2o6bo2bo22b2o11b2o2bo4bo11b2o15bob2o13b4o7b2obo19b2o7bo$400b2o
10bo2b2o17b2o13bo5bo12b2o9bob3o18b2o5bo4bo21b2o11bo4bo15b2o14bo2b2o13b
obobo6bo2b2o18b2o6b2ob2o21b2o12bo2bo16b2o15bobo14b6o5b4o19b2o7bobo$
413bo36bo2b2o26b2o27b5o35b3o33b4o15b4o7b2o30b2o37b2o34b2o59b2o$414b2o
34bo30bo30b2o92b2o5$3b2o1022b2o$2bo2bo805b2ob2o210bo2bo$bob2obo805bobo
210bob2obo$obo2bobo804bobo209bobo2bobo$obo2bobo805bo210bobo2bobo$bob2o
bo1018bob2obo$2bo2bo1020bo2bo$3b2o1022b2o!
The state is indicated by the presence or lack of the LWSS at the far right, which is being pointed at. The eaters immediately to the right of the powers of two indicate the rule number. (Currently, the cell is set at state 1 and is emulating Rule 0.)
I Like My Heisenburps! (and others)

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Freywa
Posts: 877
Joined: June 23rd, 2011, 3:20 am
Location: Singapore
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Re: Elementary 1D CA Unit Cell

Post by Freywa » November 27th, 2013, 10:01 pm

Annotated, and simulating Rule 110:

Code: Select all

x = 1032, y = 631, rule = LifeHistory
3.2A1022.2A$2.A2.A1020.A2.A$.A.2A.A1018.A.2A.A$A.A2.A.A16.A999.A.A2.A
.A$A.A2.A.A15.A.A998.A.A2.A.A$.A.2A.A16.A.A176.2A5.2A814.A.2A.A$2.A2.
A16.2A.2A171.2A2.2A5.2A2.2A811.A2.A$3.2A193.2A13.2A812.2A$21.A5.A$20.
3A3.3A$19.2A2.A.A2.2A173.A5.A$19.2A.2A.2A.2A172.3A3.3A$22.2A.2A174.2A
2.A.A2.2A$20.A.A3.A.A172.A3.A.A3.A$19.A2.A3.A2.A171.A.2A3.2A.A$22.A3.
A174.2A7.2A$19.A.A5.A.A165.2A$20.A7.A166.2A$548.D5.2D$186.A3.3A.3A
350.3D3.D2.D$27.A143.2A12.A.A2.4A3.A348.D.D.D2.D2.D$26.A.A142.2A12.A
3.2A6.A347.D2.D2.D.D2.D$186.A2.A3.2A.A11.3A337.D5.2D$24.A5.A156.3A3.A
14.3A337.D$27.A179.A3.A336.D$24.2A3.2A156.3A3.A12.A5.A335.D$186.A2.A
3.2A.A10.2A.2A205.2A129.D$185.A3.2A6.A219.2A129.D$185.A.A2.4A3.A9.2A.
2A336.D$24.2A3.2A155.A3.3A.3A9.A5.A335.D$20.2A5.A174.2A3.A3.A336.D$
20.2A2.A5.A164.2A5.2A4.3A337.D$32.139D24.2A11.3A3.192D142.D$26.A.A3.D
137.D43.D189.D143.D$27.A4.D137.D43.D188.D144.D$32.D137.D43.D187.D145.
D$32.D137.D43.D186.D9.A5.A130.D$32.D137.D43.D185.D9.3A3.3A129.D$32.D
137.D43.D184.D10.A.2A.2A.A129.D$32.D137.D43.D183.D13.2A.2A131.D$32.D
137.D43.D182.D14.2A.2A131.D$32.D137.D43.D181.D15.2A.2A131.D$32.D137.D
43.D180.D152.D$32.D137.D43.D179.D153.D$32.D137.D43.D178.D154.D$32.D
137.D43.D177.D155.D$32.D137.D43.D176.D156.D$32.D137.D43.D175.D157.D$
32.D137.D43.D174.D158.D$32.D137.D43.D173.D159.D$32.D137.D43.D172.D
160.D$32.D137.D43.D171.D25.2A.2A131.D$32.D137.D43.D170.D27.A.A132.D$
32.D137.D43.D169.D28.A.A132.D$32.D137.D43.D168.D30.A133.D$32.D137.D
43.D167.D165.D$32.D137.D43.D166.D166.D$32.D137.D43.D165.D167.D$32.D
137.D43.D164.D168.D$32.D137.D43.D163.D169.D$32.D137.D43.D125.A36.D
170.D$32.D137.D43.D124.A.A34.D171.D$32.D137.D43.D124.A.A33.D172.D$32.
D137.D43.D123.2A.2A31.D173.D$32.D137.D43.D158.D174.D$32.D137.D43.D
121.A.2A.2A.A27.D175.D$32.D137.D43.D121.A.2A.2A.A26.D176.D$32.D137.D
43.D120.2A7.2A24.D177.D$32.D137.D43.D120.2A7.2A23.D178.D$32.D137.D43.
D120.3A5.3A22.D179.D$32.D137.D43.D122.3A.3A23.D180.D$32.D137.D43.D
124.A.A24.D181.D$32.D137.D43.D121.A2.A.A2.A20.D182.D$32.D137.D43.D
120.A2.A3.A2.A18.D183.D$32.D137.D43.D121.2A5.2A18.D184.D$32.D137.D43.
D147.D185.D$32.D137.D43.D146.D186.D$32.D137.D43.D145.D187.D$32.D137.D
43.D144.D188.D$32.D137.D43.D111.A31.D18.A170.D$32.D137.D43.D110.A.A
29.D18.A.A169.D$32.D137.D43.D110.A.A28.D19.A.A169.D$32.D137.D43.D109.
2A.2A26.D19.2A.2A168.D$32.D137.D43.D139.D193.D$32.D137.D43.D138.D20.A
5.A167.D$32.D137.D43.D137.D20.3A3.3A166.D$32.D137.D43.D136.D20.2A2.A.
A2.2A165.D$32.D137.D43.D121.2A12.D21.2A.2A.2A.2A165.D$32.D137.D43.D
121.2A11.D25.2A.2A168.D$32.D137.D43.D133.D24.A.A3.A.A166.D$32.D137.D
43.D132.D24.A2.A3.A2.A165.D$32.D137.D43.D131.D28.A3.A168.D$32.D137.D
43.D109.A3.A16.D26.A.A5.A.A165.D$32.D137.D43.D109.A3.A15.D28.A7.A166.
D$32.D137.D43.D128.D204.D$32.D137.D43.D127.D205.D$32.D137.D43.D106.2A
.A3.A.2A9.D32.A173.D$32.D132.A4.D43.D107.3A3.3A9.D32.A.A172.D$32.D
131.A.A3.D43.D108.A5.A9.D208.D$32.D137.45D123.D32.A5.A170.D$32.D125.
2A2.A5.A168.D36.A173.D$32.D125.2A5.A50.2A3.2A8.A104.D34.2A3.2A170.D$
32.D129.2A3.2A46.A2.A.A2.A7.A2.2A99.D212.D$32.D181.A9.A5.A5.A97.D213.
D$32.D180.2A9.2A5.A.A2.2A95.D214.D$32.D181.A9.A6.A3.2A3.A91.D38.2A3.
2A170.D$32.D129.2A3.2A46.A2.A.A2.A9.3A4.3A90.D40.A5.2A166.D$32.D132.A
50.2A3.2A20.A90.D36.A5.A2.2A166.D$32.D129.A5.A64.3A4.3A92.D212.D$32.D
198.A3.2A3.A74.A5.A14.CA30.3A2.A.A172.D$32.D131.A.A48.2A14.A.A2.2A76.
3A3.3A12.2AD32.A3.A173.D$32.D132.A49.2A13.A5.A76.2A.A3.A.2A13.AD30.A
178.D$32.D198.A2.2A103.D208.D$32.D198.A108.D34.2A.A169.D$32.D125.A7.A
149.A3.A20.D28.3A2.2A2.A168.D$32.D124.A.A5.A.A148.A3.A21.D28.2A6.A
168.D$32.D127.A3.A178.D15.A12.3A3.4A166.D$32.D124.A2.A3.A2.A176.D12.
3A13.A3.A3.3A164.D$32.D125.A.A3.A.A178.D10.A27.A163.D$32.D127.2A.2A
181.D10.3A13.A3.A3.3A164.D$32.D124.2A.2A.2A.2A179.D11.A12.3A3.4A166.D
$32.D124.2A2.A.A2.2A180.D22.2A6.A168.D$32.D125.3A3.3A182.D20.3A2.2A2.
A11.A156.D$32.D126.A5.A184.D24.2A.A10.3A156.D$32.D317.D37.A159.D$32.D
127.2A.2A151.2A.2A28.D38.2A158.D$32.D128.A.A153.A.A28.D45.2A152.D$32.
D128.A.A153.A.A27.D46.A153.D$32.D129.A155.A27.D45.A.A153.D$32.D312.D
46.2A154.D$32.D311.D203.D$32.D26.A283.D204.D$32.D21.A3.A283.D205.D$
32.D6.2A12.A7.A279.D206.D$32.D6.2A12.A2.2A5.A73.2A5.2A194.D42.2A163.D
$32.D21.2A5.2A.A68.2A2.2A5.2A2.2A189.D43.A2.2A2.2A156.D$32.D22.3A3.2A
.3A66.2A13.2A188.D45.3A161.D$32.D34.A269.D47.A12.2A148.D$32.D22.3A3.
2A.3A269.D61.A149.D$32.D21.2A5.2A.A270.D60.A.A149.D$32.D20.A2.2A5.A
270.D61.2A150.D$32.D20.A7.A271.D214.D$32.D21.A3.A273.D215.D$32.D26.A
77.A7.A185.D216.D$32.D103.A2.A3.A2.A183.D217.D$32.D12.D84.2A8.A.A186.
D218.D$32.D12.2D83.2A8.A.A185.D219.D$32.D12.D.D92.A.A184.D34.2A184.D$
32.D12.D2.D87.A2.A3.A2.A179.D36.A163.A3.3A14.D$32.D12.D3.D56.2A8.3A
12.2A4.3A3.3A179.D34.3A8.2A139.2A12.A.A2.5A12.D$32.D12.D4.D55.2A8.A3.
A10.2A191.D35.A11.A139.2A12.A3.2A16.D$32.D12.D5.D64.A4.A201.D45.3A
155.A2.A3.2A.A10.D$32.D12.D6.D64.A3.A200.D46.A158.3A3.2A.3A8.D$32.D
12.D7.D267.D60.2A156.A7.D$32.D12.D8.D62.A3.A198.D62.A144.3A3.2A.3A8.D
$32.D12.D9.D60.A4.A197.D60.3A144.A2.A3.2A.A10.D$32.D12.D10.D59.A3.A
10.2A185.D61.A145.A3.2A16.D$32.D12.D11.D58.3A12.2A184.D208.A.A2.5A12.
D$32.D12.D12.D257.D210.A3.3A14.D$32.D12.D13.D77.2A176.D232.D$32.D12.D
14.D69.2A5.2A175.D233.D$32.D12.D15.45D24.2A17.363D36.D$32.D12.D59.D
43.D162.D198.D36.D$32.D12.D59.D43.D161.D199.D36.D445.A$32.D12.D6.2A
51.D43.D160.D200.D36.D444.A.A$32.D12.D6.2A51.D43.D159.D201.D36.D444.A
.A$32.D12.D59.D43.D158.D202.D36.D443.2A.2A$32.D12.D59.D43.D157.D203.D
36.D$32.D12.D59.D43.D156.D204.D36.D$32.D12.D59.D43.D155.D205.D36.D$
32.D12.D59.D43.D154.D206.D36.D442.A5.A$32.D12.D59.D43.D153.D207.D36.D
441.3A3.3A$32.D12.D6.3A3.3A44.D43.D152.D208.D36.D440.2A2.A.A2.2A$32.D
12.D6.A2.A.A2.A44.D43.D151.D209.D36.D440.A3.A.A3.A$32.D12.D5.A3.A.A3.
A43.D43.D150.D210.D36.D440.A.2A3.2A.A$32.D12.D5.4A3.4A43.D43.D149.D
211.D36.D440.2A7.2A$32.D12.D6.A7.A44.D43.D148.D212.D36.D$32.D12.D59.D
43.D147.D213.D36.D$32.D12.D59.D43.D146.D214.D36.D$32.D12.D59.D43.D
145.D215.D36.D365.2A3.A$32.D12.D59.D43.D144.D216.D36.D365.3A.A.2A4.2A
$32.D12.D59.D43.D143.D217.D36.D365.3A4.A4.2A$32.D12.D59.D43.D142.D
218.D36.D353.A14.A3.A68.3A$32.D12.D59.D43.D141.D219.D36.D351.3A15.3A
69.3A$32.D12.D59.D43.D140.D220.D36.D350.A89.A3.A$32.D12.D59.D43.D139.
D221.D36.D351.3A15.3A67.A5.A$32.D12.D59.D43.D138.D190.A31.D36.D353.A
14.A3.A67.2A.2A$32.D12.D59.D43.D137.D192.A3.A26.D36.D365.3A4.A$32.D
12.D59.D43.D136.D184.2A2.2A8.A25.D36.D365.3A.A.2A67.2A.2A$32.D12.D8.
2A.2A46.D43.D135.D185.2A2.A5.2A2.A25.D36.D365.2A3.A68.A5.A$32.D12.D9.
A.A47.D43.D134.D190.A.A5.2A11.A14.D36.D440.A3.A3.2A$32.D12.D9.A.A47.D
43.D133.D192.2A3.3A12.3A12.D36.D441.3A4.2A$32.D12.D10.A48.D43.D132.D
216.A11.D36.D379.59D3.3A$32.D12.D59.D43.D131.D194.2A3.3A12.3A12.D36.D
379.D57.D$4.3D4.D20.D12.D59.D43.D130.D194.A.A5.2A11.A14.D36.D379.D57.
D35.D.3D$4.D2.D2.D21.D12.D59.D43.D129.D195.A5.2A2.A25.D36.D379.D57.D
34.D2.D2.D$4.3D2.D22.D12.D59.D43.D128.D196.2A8.A25.D36.D379.D57.D33.D
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42.2A.2A34.D29.D46.A34.D29.D46.A.2A7.A23.D29.D37.D2.D$101.D111.D111.D
111.D111.D74.A3.A32.D75.A35.D76.3A2.4A2.A23.D68.D.D$100.D111.D111.D
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19.D15.A.5A12.A35.D17.D6.3A.A.A6.A$80.D111.D111.D111.D89.3A19.D10.2A
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315.2A8.A7.D13.A24.D468.D32.D45.D71.2A.2A$315.2A6.3A6.D13.A.A24.D466.
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29.D3.D29.D3.D29.D3.D29.D3.D29.D3.D29.D3.D16.D28.A6.A4.A5.2A.A.2A$
301.2A.A.3A4.3A7.3A26.2A3.A8.A28.D27.D5.D27.D5.D27.D5.D27.D5.D27.D5.D
27.D5.D27.D5.D27.D5.D27.D5.D27.D5.D27.D5.D27.D5.D14.D27.3A7.A3.A7.3A
52.2A.2A67.2A.2A$301.A4.3A4.3A7.3A3.2A21.A43.D25.D7.D25.D7.D25.D7.D
25.D7.D25.D7.D25.D7.D25.D7.D25.D7.D25.D7.D25.D7.D25.D7.D25.D7.D12.D
27.A79.A70.A.A$298.A2.A3.A7.3A7.3A3.2A21.A5.A38.D23.D9.D23.D9.D23.D9.
D23.D9.D23.D9.D23.D9.D23.D9.D23.D9.D23.D9.D23.D9.D23.D9.D23.D9.D10.D
29.3A7.A3.A135.A.A$296.3A3.3A10.3A3.3A5.2A22.A3.A40.D21.D11.D21.D11.D
21.D11.D21.D11.D21.D11.D21.D11.D21.D11.D21.D11.D21.D11.D21.D11.D21.D
11.D21.D11.D8.D32.A6.A4.A136.A$295.A20.2A3.2A6.2A68.D19.D13.D19.D13.D
19.D13.D19.D13.D19.D13.D19.D13.D19.D13.D19.D13.D19.D13.D19.D13.D19.D
13.D19.D13.D6.D40.A3.A12.2A$296.3A3.3A24.2A69.D17.D15.D17.D15.D17.D
15.D17.D15.D17.D15.D17.D15.D17.D15.D17.D15.D17.D15.D17.D15.D17.D15.D
17.D15.D4.D41.3A14.2A50.A7.A$298.A2.A3.A95.D15.D17.D15.D17.D15.D17.D
15.D17.D15.D17.D15.D17.D15.D17.D15.D17.D15.D17.D15.D17.D15.D17.D15.D
17.D2.D110.A2.A3.A2.A$301.A4.3A13.2A78.D13.D19.D13.D19.D13.D19.D13.D
19.D13.D19.D13.D19.D13.D19.D13.D19.D13.D19.D13.D19.D13.D19.D13.D19.2D
115.A.A$301.2A.A.3A13.2A79.D11.D21.D11.D21.D11.D21.D11.D21.D11.D21.D
11.D21.D11.D21.D11.D21.D11.D21.D11.D21.D11.D21.D11.D26.2A109.A.A$303.
A3.2A48.2A45.D9.D23.D9.D23.D9.D23.D9.D23.D9.D23.D9.D23.D9.D23.D9.D23.
D9.D23.D9.D23.D9.D23.D9.D27.2A109.A.A$339.2A16.A.A45.D7.D25.D7.D25.D
7.D25.D7.D25.D7.D25.D7.D25.D7.D25.D7.D25.D7.D25.D7.D25.D7.D25.D7.D
135.A2.A3.A2.A$339.A.A15.A.2A45.D5.D27.D5.D27.D5.D27.D5.D27.D5.D27.D
5.D27.D5.D27.D5.D27.D5.D27.D5.D27.D5.D27.D5.D137.3A3.3A$330.2A7.A18.
2A5.A41.D3.D29.D3.D29.D3.D29.D3.D29.D3.D29.D3.D29.D3.D29.D3.D29.D3.D
29.D3.D29.D3.D29.D3.D$328.2A.2A25.A6.3A40.D.D31.D.D31.D.D31.D.D31.D.D
31.D.D31.D.D31.D.D31.D.D31.D.D31.D.D31.D.D$328.A2.A36.A40.D33.D33.D
33.D33.D33.D33.D33.D33.D33.D33.D33.D$323.A4.A2.A26.A6.3A46.2A19.2A3.
2A8.A30.A30.2A58.A3.A$321.3A5.2A27.2A5.A47.A20.A2.A.A2.A7.A2.2A16.2A
8.2A27.5A35.3A18.A.A.A.A8.4A17.2A7.2A30.2A37.2A18.2A3.2A9.2A59.2A$
320.A36.A.2A51.A2.2A16.A9.A5.A5.A14.A2.A5.A.3A25.A4.A34.A4.A14.2A2.A.
A2.2A6.A2.2A16.2A6.A2.2A26.2A.2A35.A2.A16.A.2A.2A.A8.A.A17.3A5.4A28.A
.A$321.3A5.2A26.A.A52.A2.A16.2A9.2A5.A.A2.2A12.3A.2A8.2A24.A2.3A33.A
5.A14.2A7.2A7.A2.2A14.A2.A4.6A26.A2.A35.2A2.A4.A11.A7.A8.A.2A16.A7.2A
.A28.A26.A5.A$323.A4.A2.A25.2A53.A.A10.A7.A9.A6.A3.2A3.A10.A.2A8.2A9.
A15.2A2.A13.A21.A7.A.A.A7.2A2.A.A2.2A7.A2.A4.A11.2A.A5.4A9.A16.A2.A
13.A22.A2.A3.A3.A8.A.2A.2A.A9.2A5.A11.2A.A7.A10.A17.3A13.A9.3A3.3A
108.2A.2A$328.A2.A81.2A10.3A6.A2.A.A2.A9.3A4.3A9.A10.A10.3A15.2A14.3A
20.2A5.7A7.A.A.A.A10.2A5.3A9.2A.A18.3A15.2A14.3A21.A5.7A7.2A3.2A10.A
6.3A11.2A5.2A11.3A31.3A7.A.2A.2A.A109.A.A$328.2A.2A95.A6.2A3.2A20.A
33.A33.A33.A7.A3.A21.A33.A33.A33.A33.A33.A33.A8.2A.2A111.A.A$330.2A
81.2A10.3A24.3A4.3A20.A10.3A15.2A14.3A20.2A5.7A24.2A5.3A9.2A.A18.3A
15.2A14.3A21.A5.7A24.A6.3A11.2A5.2A11.3A31.3A9.2A.2A112.A$412.A.A10.A
24.A3.2A3.A22.2A9.A15.2A2.A13.A21.A7.A.A.A25.A2.A4.A11.2A.A5.4A9.A16.
A2.A13.A22.A2.A3.A3.A26.2A5.A11.2A.A7.A10.A17.3A13.A11.2A.2A$400.2A
10.A2.A18.2A14.A.A2.2A11.2A13.2A17.2A5.A2.3A21.2A10.A5.A15.2A15.A2.2A
12.2A.3A4.6A18.2A6.A2.A22.2A11.2A2.A4.A11.2A15.A.2A13.4A7.2A.A19.2A7.
A$400.2A10.A2.2A17.2A13.A5.A12.2A9.A.3A18.2A5.A4.A21.2A11.A4.A15.2A
14.A2.2A13.A.A.A6.A2.2A18.2A6.2A.2A21.2A12.A2.A16.2A15.A.A14.6A5.4A
19.2A7.A.A$413.A36.A2.2A26.2A27.5A35.3A33.4A15.4A7.2A30.2A37.2A34.2A
59.2A$414.2A34.A30.A30.2A92.2A5$3.2A1022.2A$2.A2.A805.2A.2A210.A2.A$.
A.2A.A805.A.A210.A.2A.A$A.A2.A.A804.A.A209.A.A2.A.A$A.A2.A.A805.A210.
A.A2.A.A$.A.2A.A1018.A.2A.A$2.A2.A1020.A2.A$3.2A1022.2A!
Princess of Science, Parcly Taxel

Code: Select all

x = 31, y = 5, rule = B2-a/S12
3bo23bo$2obo4bo13bo4bob2o$3bo4bo13bo4bo$2bo4bobo11bobo4bo$2bo25bo!

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