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Miscellaneous Discoveries in Other Cellular Automata

For discussion of other cellular automata.

Re: Miscellaneous Discoveries in Other Cellular Automata

Postby muzik » August 5th, 2018, 6:55 pm

I believe I have found a rule in which a dot replicates fivefold:

x = 1, y = 1, rule = W2456379798
o!


http://m.wolframalpha.com/input/?i=rule+2456379798


This only seems to work with a single dot though, so can someone work out a way to make any pattern replicate as with W90 and W150?
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!
muzik
 
Posts: 3217
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

Re: Miscellaneous Discoveries in Other Cellular Automata

Postby muzik » August 5th, 2018, 8:06 pm

Bit more research turns up a whole series.

0-fold replication:
x = 1, y = 1, rule = W128
o!


1-fold:
x = 1, y = 65, rule = W4
o$o$o$o$o$o$o$o$o$o$o$o$o$o$o$o$o$o$o$o$o$o$o$o$o$o$o$o$o$o$o$o$o$o$o$
o$o$o$o$o$o$o$o$o$o$o$o$o$o$o$o$o$o$o$o$o$o$o$o$o$o$o$o$o$o!


2:
x = 129, y = 65, rule = W90
64bo$63bobo$62bo3bo$61bobobobo$60bo7bo$59bobo5bobo$58bo3bo3bo3bo$57bob
obobobobobobo$56bo15bo$55bobo13bobo$54bo3bo11bo3bo$53bobobobo9bobobobo
$52bo7bo7bo7bo$51bobo5bobo5bobo5bobo$50bo3bo3bo3bo3bo3bo3bo3bo$49bobob
obobobobobobobobobobobobobo$48bo31bo$47bobo29bobo$46bo3bo27bo3bo$45bob
obobo25bobobobo$44bo7bo23bo7bo$43bobo5bobo21bobo5bobo$42bo3bo3bo3bo19b
o3bo3bo3bo$41bobobobobobobobo17bobobobobobobobo$40bo15bo15bo15bo$39bob
o13bobo13bobo13bobo$38bo3bo11bo3bo11bo3bo11bo3bo$37bobobobo9bobobobo9b
obobobo9bobobobo$36bo7bo7bo7bo7bo7bo7bo7bo$35bobo5bobo5bobo5bobo5bobo
5bobo5bobo5bobo$34bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo$33bo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo$32bo63b
o$31bobo61bobo$30bo3bo59bo3bo$29bobobobo57bobobobo$28bo7bo55bo7bo$27bo
bo5bobo53bobo5bobo$26bo3bo3bo3bo51bo3bo3bo3bo$25bobobobobobobobo49bobo
bobobobobobo$24bo15bo47bo15bo$23bobo13bobo45bobo13bobo$22bo3bo11bo3bo
43bo3bo11bo3bo$21bobobobo9bobobobo41bobobobo9bobobobo$20bo7bo7bo7bo39b
o7bo7bo7bo$19bobo5bobo5bobo5bobo37bobo5bobo5bobo5bobo$18bo3bo3bo3bo3bo
3bo3bo3bo35bo3bo3bo3bo3bo3bo3bo3bo$17bobobobobobobobobobobobobobobobo
33bobobobobobobobobobobobobobobobo$16bo31bo31bo31bo$15bobo29bobo29bobo
29bobo$14bo3bo27bo3bo27bo3bo27bo3bo$13bobobobo25bobobobo25bobobobo25bo
bobobo$12bo7bo23bo7bo23bo7bo23bo7bo$11bobo5bobo21bobo5bobo21bobo5bobo
21bobo5bobo$10bo3bo3bo3bo19bo3bo3bo3bo19bo3bo3bo3bo19bo3bo3bo3bo$9bobo
bobobobobobo17bobobobobobobobo17bobobobobobobobo17bobobobobobobobo$8bo
15bo15bo15bo15bo15bo15bo15bo$7bobo13bobo13bobo13bobo13bobo13bobo13bobo
13bobo$6bo3bo11bo3bo11bo3bo11bo3bo11bo3bo11bo3bo11bo3bo11bo3bo$5bobobo
bo9bobobobo9bobobobo9bobobobo9bobobobo9bobobobo9bobobobo9bobobobo$4bo
7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo$3bobo5bobo5bobo5bobo5bob
o5bobo5bobo5bobo5bobo5bobo5bobo5bobo5bobo5bobo5bobo5bobo$2bo3bo3bo3bo
3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo
3bo3bo3bo3bo3bo$bobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobo$o127bo!


3:
x = 129, y = 65, rule = W150
64bo$63b3o$62bobobo$61b2obob2o$60bo3bo3bo$59b3ob3ob3o$58bobo3bo3bobo$
57b2ob2ob3ob2ob2o$56bo7bo7bo$55b3o5b3o5b3o$54bobobo3bobobo3bobobo$53b
2obob2ob2obob2ob2obob2o$52bo3bo7bo7bo3bo$51b3ob3o5b3o5b3ob3o$50bobo3bo
bo3bobobo3bobo3bobo$49b2ob2ob2ob2ob2obob2ob2ob2ob2ob2o$48bo15bo15bo$
47b3o13b3o13b3o$46bobobo11bobobo11bobobo$45b2obob2o9b2obob2o9b2obob2o$
44bo3bo3bo7bo3bo3bo7bo3bo3bo$43b3ob3ob3o5b3ob3ob3o5b3ob3ob3o$42bobo3bo
3bobo3bobo3bo3bobo3bobo3bo3bobo$41b2ob2ob3ob2ob2ob2ob2ob3ob2ob2ob2ob2o
b3ob2ob2o$40bo7bo15bo15bo7bo$39b3o5b3o13b3o13b3o5b3o$38bobobo3bobobo
11bobobo11bobobo3bobobo$37b2obob2ob2obob2o9b2obob2o9b2obob2ob2obob2o$
36bo3bo7bo3bo7bo3bo3bo7bo3bo7bo3bo$35b3ob3o5b3ob3o5b3ob3ob3o5b3ob3o5b
3ob3o$34bobo3bobo3bobo3bobo3bobo3bo3bobo3bobo3bobo3bobo3bobo$33b2ob2ob
2ob2ob2ob2ob2ob2ob2ob2ob3ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2o$32bo31bo31bo$
31b3o29b3o29b3o$30bobobo27bobobo27bobobo$29b2obob2o25b2obob2o25b2obob
2o$28bo3bo3bo23bo3bo3bo23bo3bo3bo$27b3ob3ob3o21b3ob3ob3o21b3ob3ob3o$
26bobo3bo3bobo19bobo3bo3bobo19bobo3bo3bobo$25b2ob2ob3ob2ob2o17b2ob2ob
3ob2ob2o17b2ob2ob3ob2ob2o$24bo7bo7bo15bo7bo7bo15bo7bo7bo$23b3o5b3o5b3o
13b3o5b3o5b3o13b3o5b3o5b3o$22bobobo3bobobo3bobobo11bobobo3bobobo3bobob
o11bobobo3bobobo3bobobo$21b2obob2ob2obob2ob2obob2o9b2obob2ob2obob2ob2o
bob2o9b2obob2ob2obob2ob2obob2o$20bo3bo7bo7bo3bo7bo3bo7bo7bo3bo7bo3bo7b
o7bo3bo$19b3ob3o5b3o5b3ob3o5b3ob3o5b3o5b3ob3o5b3ob3o5b3o5b3ob3o$18bobo
3bobo3bobobo3bobo3bobo3bobo3bobo3bobobo3bobo3bobo3bobo3bobo3bobobo3bob
o3bobo$17b2ob2ob2ob2ob2obob2ob2ob2ob2ob2ob2ob2ob2ob2ob2obob2ob2ob2ob2o
b2ob2ob2ob2ob2ob2obob2ob2ob2ob2ob2o$16bo15bo31bo31bo15bo$15b3o13b3o29b
3o29b3o13b3o$14bobobo11bobobo27bobobo27bobobo11bobobo$13b2obob2o9b2obo
b2o25b2obob2o25b2obob2o9b2obob2o$12bo3bo3bo7bo3bo3bo23bo3bo3bo23bo3bo
3bo7bo3bo3bo$11b3ob3ob3o5b3ob3ob3o21b3ob3ob3o21b3ob3ob3o5b3ob3ob3o$10b
obo3bo3bobo3bobo3bo3bobo19bobo3bo3bobo19bobo3bo3bobo3bobo3bo3bobo$9b2o
b2ob3ob2ob2ob2ob2ob3ob2ob2o17b2ob2ob3ob2ob2o17b2ob2ob3ob2ob2ob2ob2ob3o
b2ob2o$8bo7bo15bo7bo15bo7bo7bo15bo7bo15bo7bo$7b3o5b3o13b3o5b3o13b3o5b
3o5b3o13b3o5b3o13b3o5b3o$6bobobo3bobobo11bobobo3bobobo11bobobo3bobobo
3bobobo11bobobo3bobobo11bobobo3bobobo$5b2obob2ob2obob2o9b2obob2ob2obob
2o9b2obob2ob2obob2ob2obob2o9b2obob2ob2obob2o9b2obob2ob2obob2o$4bo3bo7b
o3bo7bo3bo7bo3bo7bo3bo7bo7bo3bo7bo3bo7bo3bo7bo3bo7bo3bo$3b3ob3o5b3ob3o
5b3ob3o5b3ob3o5b3ob3o5b3o5b3ob3o5b3ob3o5b3ob3o5b3ob3o5b3ob3o$2bobo3bob
o3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobobo3bobo3bobo3bobo3bobo3b
obo3bobo3bobo3bobo3bobo3bobo$b2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob
2ob2ob2ob2ob2ob2ob2ob2obob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2o
b2ob2ob2ob2ob2ob2o$o63bo63bo!


4:
x = 257, y = 65, rule = W1721342310
128bo$126b2ob2o$124bobo3bobo$122b3ob2ob2ob3o$120bo3bo7bo3bo$118b2obobo
b2o3b2obobob2o$116bobobo3bobo3bobo3bobobo$114b3o3b2ob2ob2ob2ob2ob2o3b
3o$112bo7bo15bo7bo$110b2ob2o3b2ob2o11b2ob2o3b2ob2o$108bobo3bo3bo3bobo
7bobo3bo3bo3bobo$106b3ob2obobobobob2ob3o3b3ob2obobobobob2ob3o$104bo3bo
3bo7bo3bo7bo3bo7bo3bo3bo$102b2obobobobob2o3b2obobob2o3b2obobob2o3b2obo
bobobob2o$100bobobo7bobo3bobo3bobo3bobo3bobo3bobo7bobobo$98b3o3b3o3b3o
b2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob3o3b3o3b3o$96bo15bo31bo15bo$94b2ob2o11b
2ob2o27b2ob2o11b2ob2o$92bobo3bobo7bobo3bobo23bobo3bobo7bobo3bobo$90b3o
b2ob2ob3o3b3ob2ob2ob3o19b3ob2ob2ob3o3b3ob2ob2ob3o$88bo3bo7bo7bo7bo3bo
15bo3bo7bo7bo7bo3bo$86b2obobob2o3b2ob2o3b2ob2o3b2obobob2o11b2obobob2o
3b2ob2o3b2ob2o3b2obobob2o$84bobobo3bobo3bo3bo3bo3bo3bobo3bobobo7bobobo
3bobo3bo3bo3bo3bo3bobo3bobobo$82b3o3b2ob2ob2obobobobobobobobob2ob2ob2o
3b3o3b3o3b2ob2ob2obobobobobobobobob2ob2ob2o3b3o$80bo7bo7bo15bo7bo15bo
7bo15bo7bo7bo$78b2ob2o3b2ob2o3b2ob2o11b2ob2o3b2ob2o11b2ob2o3b2ob2o11b
2ob2o3b2ob2o3b2ob2o$76bobo3bo3bo3bo3bo3bobo7bobo3bo3bo3bobo7bobo3bo3bo
3bobo7bobo3bo3bo3bo3bo3bobo$74b3ob2obobobobobobobobob2ob3o3b3ob2obobob
obob2ob3o3b3ob2obobobobob2ob3o3b3ob2obobobobobobobobob2ob3o$72bo3bo3bo
15bo3bo7bo3bo7bo3bo7bo3bo7bo3bo7bo3bo15bo3bo3bo$70b2obobobobob2o11b2ob
obob2o3b2obobob2o3b2obobob2o3b2obobob2o3b2obobob2o3b2obobob2o11b2obobo
bobob2o$68bobobo7bobobo7bobobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo
3bobo3bobo3bobobo7bobobo7bobobo$66b3o3b3o3b3o3b3o3b3o3b2ob2ob2ob2ob2ob
2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2o3b3o3b3o3b3o3b3o3b3o
$64bo31bo63bo31bo$62b2ob2o27b2ob2o59b2ob2o27b2ob2o$60bobo3bobo23bobo3b
obo55bobo3bobo23bobo3bobo$58b3ob2ob2ob3o19b3ob2ob2ob3o51b3ob2ob2ob3o
19b3ob2ob2ob3o$56bo3bo7bo3bo15bo3bo7bo3bo47bo3bo7bo3bo15bo3bo7bo3bo$
54b2obobob2o3b2obobob2o11b2obobob2o3b2obobob2o43b2obobob2o3b2obobob2o
11b2obobob2o3b2obobob2o$52bobobo3bobo3bobo3bobobo7bobobo3bobo3bobo3bob
obo39bobobo3bobo3bobo3bobobo7bobobo3bobo3bobo3bobobo$50b3o3b2ob2ob2ob
2ob2ob2o3b3o3b3o3b2ob2ob2ob2ob2ob2o3b3o35b3o3b2ob2ob2ob2ob2ob2o3b3o3b
3o3b2ob2ob2ob2ob2ob2o3b3o$48bo7bo15bo15bo15bo7bo31bo7bo15bo15bo15bo7bo
$46b2ob2o3b2ob2o11b2ob2o11b2ob2o11b2ob2o3b2ob2o27b2ob2o3b2ob2o11b2ob2o
11b2ob2o11b2ob2o3b2ob2o$44bobo3bo3bo3bobo7bobo3bobo7bobo3bobo7bobo3bo
3bo3bobo23bobo3bo3bo3bobo7bobo3bobo7bobo3bobo7bobo3bo3bo3bobo$42b3ob2o
bobobobob2ob3o3b3ob2ob2ob3o3b3ob2ob2ob3o3b3ob2obobobobob2ob3o19b3ob2ob
obobobob2ob3o3b3ob2ob2ob3o3b3ob2ob2ob3o3b3ob2obobobobob2ob3o$40bo3bo3b
o7bo3bo7bo7bo7bo7bo7bo3bo7bo3bo3bo15bo3bo3bo7bo3bo7bo7bo7bo7bo7bo3bo7b
o3bo3bo$38b2obobobobob2o3b2obobob2o3b2ob2o3b2ob2o3b2ob2o3b2ob2o3b2obob
ob2o3b2obobobobob2o11b2obobobobob2o3b2obobob2o3b2ob2o3b2ob2o3b2ob2o3b
2ob2o3b2obobob2o3b2obobobobob2o$36bobobo7bobo3bobo3bobo3bo3bo3bo3bo3bo
3bo3bo3bo3bobo3bobo3bobo7bobobo7bobobo7bobo3bobo3bobo3bo3bo3bo3bo3bo3b
o3bo3bo3bobo3bobo3bobo7bobobo$34b3o3b3o3b3ob2ob2ob2ob2ob2obobobobobobo
bobobobobobobobobobob2ob2ob2ob2ob2ob3o3b3o3b3o3b3o3b3o3b3ob2ob2ob2ob2o
b2obobobobobobobobobobobobobobobobob2ob2ob2ob2ob2ob3o3b3o3b3o$32bo15bo
15bo31bo15bo31bo15bo31bo15bo15bo$30b2ob2o11b2ob2o11b2ob2o27b2ob2o11b2o
b2o27b2ob2o11b2ob2o27b2ob2o11b2ob2o11b2ob2o$28bobo3bobo7bobo3bobo7bobo
3bobo23bobo3bobo7bobo3bobo23bobo3bobo7bobo3bobo23bobo3bobo7bobo3bobo7b
obo3bobo$26b3ob2ob2ob3o3b3ob2ob2ob3o3b3ob2ob2ob3o19b3ob2ob2ob3o3b3ob2o
b2ob3o19b3ob2ob2ob3o3b3ob2ob2ob3o19b3ob2ob2ob3o3b3ob2ob2ob3o3b3ob2ob2o
b3o$24bo3bo7bo7bo7bo7bo7bo3bo15bo3bo7bo7bo7bo3bo15bo3bo7bo7bo7bo3bo15b
o3bo7bo7bo7bo7bo7bo3bo$22b2obobob2o3b2ob2o3b2ob2o3b2ob2o3b2ob2o3b2obob
ob2o11b2obobob2o3b2ob2o3b2ob2o3b2obobob2o11b2obobob2o3b2ob2o3b2ob2o3b
2obobob2o11b2obobob2o3b2ob2o3b2ob2o3b2ob2o3b2ob2o3b2obobob2o$20bobobo
3bobo3bo3bo3bo3bo3bo3bo3bo3bo3bobo3bobobo7bobobo3bobo3bo3bo3bo3bo3bobo
3bobobo7bobobo3bobo3bo3bo3bo3bo3bobo3bobobo7bobobo3bobo3bo3bo3bo3bo3bo
3bo3bo3bo3bobo3bobobo$18b3o3b2ob2ob2obobobobobobobobobobobobobobobobob
2ob2ob2o3b3o3b3o3b2ob2ob2obobobobobobobobob2ob2ob2o3b3o3b3o3b2ob2ob2ob
obobobobobobobob2ob2ob2o3b3o3b3o3b2ob2ob2obobobobobobobobobobobobobobo
bobob2ob2ob2o3b3o$16bo7bo7bo31bo7bo15bo7bo15bo7bo15bo7bo15bo7bo15bo7bo
31bo7bo7bo$14b2ob2o3b2ob2o3b2ob2o27b2ob2o3b2ob2o11b2ob2o3b2ob2o11b2ob
2o3b2ob2o11b2ob2o3b2ob2o11b2ob2o3b2ob2o11b2ob2o3b2ob2o27b2ob2o3b2ob2o
3b2ob2o$12bobo3bo3bo3bo3bo3bobo23bobo3bo3bo3bobo7bobo3bo3bo3bobo7bobo
3bo3bo3bobo7bobo3bo3bo3bobo7bobo3bo3bo3bobo7bobo3bo3bo3bobo23bobo3bo3b
o3bo3bo3bobo$10b3ob2obobobobobobobobob2ob3o19b3ob2obobobobob2ob3o3b3ob
2obobobobob2ob3o3b3ob2obobobobob2ob3o3b3ob2obobobobob2ob3o3b3ob2obobob
obob2ob3o3b3ob2obobobobob2ob3o19b3ob2obobobobobobobobob2ob3o$8bo3bo3bo
15bo3bo3bo15bo3bo3bo7bo3bo7bo3bo7bo3bo7bo3bo7bo3bo7bo3bo7bo3bo7bo3bo7b
o3bo7bo3bo7bo3bo3bo15bo3bo3bo15bo3bo3bo$6b2obobobobob2o11b2obobobobob
2o11b2obobobobob2o3b2obobob2o3b2obobob2o3b2obobob2o3b2obobob2o3b2obobo
b2o3b2obobob2o3b2obobob2o3b2obobob2o3b2obobob2o3b2obobob2o3b2obobobobo
b2o11b2obobobobob2o11b2obobobobob2o$4bobobo7bobobo7bobobo7bobobo7bobob
o7bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bob
o3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo7bobobo7bobobo7bobobo7bobobo
7bobobo$2b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3ob2ob2ob2ob2ob2ob2o
b2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob
2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o
3b3o3b3o3b3o$o63bo127bo63bo!


5:
x = 257, y = 65, rule = W2523490710
128bo$126b5o$124bobobobobo$122b2o2bobobo2b2o$120bo3bo3bo3bo3bo$118b4ob
3ob3ob3ob4o$116bobo5bo3bo3bo5bobo$114b2o3b2ob4ob3ob4ob2o3b2o$112bo7bo
7bo7bo7bo$110b5o3b5o3b5o3b5o3b5o$108bobobobo3bobobo3bobobo3bobobo3bobo
bobo$106b2o2bobo2bobo2bo2bobo2bo2bobo2bo2bobo2bobo2b2o$104bo3bo11bo7bo
7bo11bo3bo$102b4ob4o7b5o3b5o3b5o7b4ob4o$100bobo7bobo3bobobobo3bobobo3b
obobobo3bobo7bobo$98b2o3b2o3b2o3bobo2bobo2bobo2bo2bobo2bobo2bobo3b2o3b
2o3b2o$96bo15bo15bo15bo15bo$94b5o11b5o11b5o11b5o11b5o$92bobobobobo7bob
obobobo7bobobobobo7bobobobobo7bobobobobo$90b2o2bobobo2b2o3b2o2bobobo2b
2o3b2o2bobobo2b2o3b2o2bobobo2b2o3b2o2bobobo2b2o$88bo3bo3bo3bo7bo3bo3bo
7bo3bo3bo7bo3bo3bo7bo3bo3bo3bo$86b4ob3ob3ob4o3b4ob3ob4o3b4ob3ob4o3b4ob
3ob4o3b4ob3ob3ob4o$84bobo5bo3bo5bo3bo5bo5bo3bo5bo5bo3bo5bo5bo3bo5bo3bo
5bobo$82b2o3b2ob4ob4ob4ob4ob5ob4ob4ob5ob4ob4ob5ob4ob4ob4ob4ob2o3b2o$
80bo7bo23bo15bo15bo23bo7bo$78b5o3b5o19b5o11b5o11b5o19b5o3b5o$76bobobob
o3bobobobo15bobobobobo7bobobobobo7bobobobobo15bobobobo3bobobobo$74b2o
2bobo2bobo2bobo2b2o11b2o2bobobo2b2o3b2o2bobobo2b2o3b2o2bobobo2b2o11b2o
2bobo2bobo2bobo2b2o$72bo3bo15bo3bo7bo3bo3bo3bo7bo3bo3bo7bo3bo3bo3bo7bo
3bo15bo3bo$70b4ob4o11b4ob4o3b4ob3ob3ob4o3b4ob3ob4o3b4ob3ob3ob4o3b4ob4o
11b4ob4o$68bobo7bobo7bobo7bo3bo5bo3bo5bo3bo5bo5bo3bo5bo3bo5bo3bo7bobo
7bobo7bobo$66b2o3b2o3b2o3b2o3b2o3b2o3b4ob4ob4ob4ob4ob4ob5ob4ob4ob4ob4o
b4ob4o3b2o3b2o3b2o3b2o3b2o3b2o$64bo31bo31bo31bo31bo$62b5o27b5o27b5o27b
5o27b5o$60bobobobobo23bobobobobo23bobobobobo23bobobobobo23bobobobobo$
58b2o2bobobo2b2o19b2o2bobobo2b2o19b2o2bobobo2b2o19b2o2bobobo2b2o19b2o
2bobobo2b2o$56bo3bo3bo3bo3bo15bo3bo3bo3bo3bo15bo3bo3bo3bo3bo15bo3bo3bo
3bo3bo15bo3bo3bo3bo3bo$54b4ob3ob3ob3ob4o11b4ob3ob3ob3ob4o11b4ob3ob3ob
3ob4o11b4ob3ob3ob3ob4o11b4ob3ob3ob3ob4o$52bobo5bo3bo3bo5bobo7bobo5bo3b
o3bo5bobo7bobo5bo3bo3bo5bobo7bobo5bo3bo3bo5bobo7bobo5bo3bo3bo5bobo$50b
2o3b2ob4ob3ob4ob2o3b2o3b2o3b2ob4ob3ob4ob2o3b2o3b2o3b2ob4ob3ob4ob2o3b2o
3b2o3b2ob4ob3ob4ob2o3b2o3b2o3b2ob4ob3ob4ob2o3b2o$48bo7bo7bo7bo15bo7bo
7bo15bo7bo7bo15bo7bo7bo15bo7bo7bo7bo$46b5o3b5o3b5o3b5o11b5o3b5o3b5o11b
5o3b5o3b5o11b5o3b5o3b5o11b5o3b5o3b5o3b5o$44bobobobo3bobobo3bobobo3bobo
bobo7bobobobo3bobobo3bobobobo7bobobobo3bobobo3bobobobo7bobobobo3bobobo
3bobobobo7bobobobo3bobobo3bobobo3bobobobo$42b2o2bobo2bobo2bo2bobo2bo2b
obo2bobo2b2o3b2o2bobo2bobo2bo2bobo2bobo2b2o3b2o2bobo2bobo2bo2bobo2bobo
2b2o3b2o2bobo2bobo2bo2bobo2bobo2b2o3b2o2bobo2bobo2bo2bobo2bo2bobo2bobo
2b2o$40bo3bo11bo7bo11bo7bo11bo11bo7bo11bo11bo7bo11bo11bo7bo11bo7bo11bo
3bo$38b4ob4o7b5o3b5o7b5o3b5o7b5o7b5o3b5o7b5o7b5o3b5o7b5o7b5o3b5o7b5o3b
5o7b4ob4o$36bobo7bobo3bobobobo3bobobobo3bobobobo3bobobobo3bobobobobo3b
obobobo3bobobobo3bobobobobo3bobobobo3bobobobo3bobobobobo3bobobobo3bobo
bobo3bobobobo3bobobobo3bobo7bobo$34b2o3b2o3b2o3bobo2bobo2bobo2bobo2bob
o2bobo2bobo2bobo2bobo2bobobo2bobo2bobo2bobo2bobo2bobo2bobobo2bobo2bobo
2bobo2bobo2bobo2bobobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo3b
2o3b2o3b2o$32bo15bo47bo31bo31bo47bo15bo$30b5o11b5o43b5o27b5o27b5o43b5o
11b5o$28bobobobobo7bobobobobo39bobobobobo23bobobobobo23bobobobobo39bob
obobobo7bobobobobo$26b2o2bobobo2b2o3b2o2bobobo2b2o35b2o2bobobo2b2o19b
2o2bobobo2b2o19b2o2bobobo2b2o35b2o2bobobo2b2o3b2o2bobobo2b2o$24bo3bo3b
o3bo7bo3bo3bo3bo31bo3bo3bo3bo3bo15bo3bo3bo3bo3bo15bo3bo3bo3bo3bo31bo3b
o3bo3bo7bo3bo3bo3bo$22b4ob3ob3ob4o3b4ob3ob3ob4o27b4ob3ob3ob3ob4o11b4ob
3ob3ob3ob4o11b4ob3ob3ob3ob4o27b4ob3ob3ob4o3b4ob3ob3ob4o$20bobo5bo3bo5b
o3bo5bo3bo5bobo23bobo5bo3bo3bo5bobo7bobo5bo3bo3bo5bobo7bobo5bo3bo3bo5b
obo23bobo5bo3bo5bo3bo5bo3bo5bobo$18b2o3b2ob4ob4ob4ob4ob4ob4ob2o3b2o19b
2o3b2ob4ob3ob4ob2o3b2o3b2o3b2ob4ob3ob4ob2o3b2o3b2o3b2ob4ob3ob4ob2o3b2o
19b2o3b2ob4ob4ob4ob4ob4ob4ob2o3b2o$16bo7bo31bo7bo15bo7bo7bo7bo15bo7bo
7bo15bo7bo7bo7bo15bo7bo31bo7bo$14b5o3b5o27b5o3b5o11b5o3b5o3b5o3b5o11b
5o3b5o3b5o11b5o3b5o3b5o3b5o11b5o3b5o27b5o3b5o$12bobobobo3bobobobo23bob
obobo3bobobobo7bobobobo3bobobo3bobobo3bobobobo7bobobobo3bobobo3bobobob
o7bobobobo3bobobo3bobobo3bobobobo7bobobobo3bobobobo23bobobobo3bobobobo
$10b2o2bobo2bobo2bobo2b2o19b2o2bobo2bobo2bobo2b2o3b2o2bobo2bobo2bo2bob
o2bo2bobo2bobo2b2o3b2o2bobo2bobo2bo2bobo2bobo2b2o3b2o2bobo2bobo2bo2bob
o2bo2bobo2bobo2b2o3b2o2bobo2bobo2bobo2b2o19b2o2bobo2bobo2bobo2b2o$8bo
3bo15bo3bo15bo3bo15bo7bo11bo7bo11bo7bo11bo11bo7bo11bo7bo11bo7bo15bo3bo
15bo3bo15bo3bo$6b4ob4o11b4ob4o11b4ob4o11b5o3b5o7b5o3b5o7b5o3b5o7b5o7b
5o3b5o7b5o3b5o7b5o3b5o11b4ob4o11b4ob4o11b4ob4o$4bobo7bobo7bobo7bobo7bo
bo7bobo7bobobobo3bobobobo3bobobobo3bobobobo3bobobobo3bobobobo3bobobobo
bo3bobobobo3bobobobo3bobobobo3bobobobo3bobobobo3bobobobo7bobo7bobo7bob
o7bobo7bobo7bobo$2b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o
2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobobo2bo
bo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2b2o3b2o3b2o
3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o$o63bo63bo63bo63bo!


6:
x = 385, y = 65, rule = W140117185019831836588493434554119984790
192bo$189b3ob3o$186bobobo3bobobo$183b2ob2ob3ob3ob2ob2o$180bo3bo3bo7bo
3bo3bo$177b3o9b3ob3o9b3o$174bobo3bobo3bobobo3bobobo3bobo3bobo$171b2obo
b2ob2ob2ob3ob3ob3ob3ob2ob2ob2obob2o$168bo7bo7bo15bo7bo7bo$165b3ob3ob3o
b3ob3ob3o9b3ob3ob3ob3ob3ob3o$162bobobo19bobobo3bobobo19bobobo$159b2ob
2ob2ob2o13b2ob2ob3ob3ob2ob2o13b2ob2ob2ob2o$156bo3bo7bo3bo7bo3bo3bo7bo
3bo3bo7bo3bo7bo3bo$153b3o5b3ob3o5b3ob3o9b3ob3o9b3ob3o5b3ob3o5b3o$150bo
bo3bo3bobo3bobo3bobo3bobobo3bobobo3bobobo3bobobo3bobo3bobo3bobo3bo3bob
o$147b2obob2o5b2ob2ob2ob2ob2ob2ob3ob3ob3ob3ob3ob3ob3ob3ob2ob2ob2ob2ob
2ob2o5b2obob2o$144bo15bo15bo31bo15bo15bo$141b3ob3o9b3ob3o9b3ob3o25b3ob
3o9b3ob3o9b3ob3o$138bobobo3bobobo3bobobo3bobobo3bobobo3bobobo19bobobo
3bobobo3bobobo3bobobo3bobobo3bobobo$135b2ob2ob3ob3ob3ob3ob3ob3ob3ob3ob
3ob3ob2ob2o13b2ob2ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob2ob2o$132bo3bo3bo39b
o3bo3bo7bo3bo3bo39bo3bo3bo$129b3o9b3o33b3o9b3ob3o9b3o33b3o9b3o$126bobo
3bobo3bobo3bobo27bobo3bobo3bobobo3bobobo3bobo3bobo27bobo3bobo3bobo3bob
o$123b2obob2ob2ob2ob2ob2ob2obob2o21b2obob2ob2ob2ob3ob3ob3ob3ob2ob2ob2o
bob2o21b2obob2ob2ob2ob2ob2ob2obob2o$120bo7bo15bo7bo15bo7bo7bo15bo7bo7b
o15bo7bo15bo7bo$117b3ob3ob3ob3o9b3ob3ob3ob3o9b3ob3ob3ob3ob3ob3o9b3ob3o
b3ob3ob3ob3o9b3ob3ob3ob3o9b3ob3ob3ob3o$114bobobo11bobobo3bobobo11bobob
o3bobobo19bobobo3bobobo19bobobo3bobobo11bobobo3bobobo11bobobo$111b2ob
2ob2ob2o5b2ob2ob3ob3ob2ob2o5b2ob2ob3ob3ob2ob2o13b2ob2ob3ob3ob2ob2o13b
2ob2ob3ob3ob2ob2o5b2ob2ob3ob3ob2ob2o5b2ob2ob2ob2o$108bo3bo7bo7bo3bo7bo
3bo7bo3bo7bo3bo3bo7bo3bo3bo7bo3bo3bo7bo3bo3bo7bo3bo7bo3bo7bo3bo7bo7bo
3bo$105b3o5b3ob3ob3ob3o5b3ob3o5b3ob3o5b3ob3o9b3ob3o9b3ob3o9b3ob3o9b3ob
3o5b3ob3o5b3ob3o5b3ob3ob3ob3o5b3o$102bobo3bo3bobo11bobo3bobo3bobo3bobo
3bobo3bobo3bobobo3bobobo3bobobo3bobobo3bobobo3bobobo3bobobo3bobobo3bob
o3bobo3bobo3bobo3bobo3bobo11bobo3bo3bobo$99b2obob2o5b2obob2o5b2obob2ob
2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob
3ob3ob3ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2obob2o5b2obob2o5b2obob2o$96bo
31bo31bo63bo31bo31bo$93b3ob3o25b3ob3o25b3ob3o57b3ob3o25b3ob3o25b3ob3o$
90bobobo3bobobo19bobobo3bobobo19bobobo3bobobo51bobobo3bobobo19bobobo3b
obobo19bobobo3bobobo$87b2ob2ob3ob3ob2ob2o13b2ob2ob3ob3ob2ob2o13b2ob2ob
3ob3ob2ob2o45b2ob2ob3ob3ob2ob2o13b2ob2ob3ob3ob2ob2o13b2ob2ob3ob3ob2ob
2o$84bo3bo3bo7bo3bo3bo7bo3bo3bo7bo3bo3bo7bo3bo3bo7bo3bo3bo39bo3bo3bo7b
o3bo3bo7bo3bo3bo7bo3bo3bo7bo3bo3bo7bo3bo3bo$81b3o9b3ob3o9b3ob3o9b3ob3o
9b3ob3o9b3ob3o9b3o33b3o9b3ob3o9b3ob3o9b3ob3o9b3ob3o9b3ob3o9b3o$78bobo
3bobo3bobobo3bobobo3bobobo3bobobo3bobobo3bobobo3bobobo3bobobo3bobobo3b
obobo3bobo3bobo27bobo3bobo3bobobo3bobobo3bobobo3bobobo3bobobo3bobobo3b
obobo3bobobo3bobobo3bobobo3bobo3bobo$75b2obob2ob2ob2ob3ob3ob3ob3ob3ob
3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob2ob2ob2obob2o21b2obob2ob
2ob2ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob2ob
2ob2obob2o$72bo7bo7bo79bo7bo7bo15bo7bo7bo79bo7bo7bo$69b3ob3ob3ob3ob3ob
3o73b3ob3ob3ob3ob3ob3o9b3ob3ob3ob3ob3ob3o73b3ob3ob3ob3ob3ob3o$66bobobo
19bobobo67bobobo19bobobo3bobobo19bobobo67bobobo19bobobo$63b2ob2ob2ob2o
13b2ob2ob2ob2o61b2ob2ob2ob2o13b2ob2ob3ob3ob2ob2o13b2ob2ob2ob2o61b2ob2o
b2ob2o13b2ob2ob2ob2o$60bo3bo7bo3bo7bo3bo7bo3bo55bo3bo7bo3bo7bo3bo3bo7b
o3bo3bo7bo3bo7bo3bo55bo3bo7bo3bo7bo3bo7bo3bo$57b3o5b3ob3o5b3ob3o5b3ob
3o5b3o49b3o5b3ob3o5b3ob3o9b3ob3o9b3ob3o5b3ob3o5b3o49b3o5b3ob3o5b3ob3o
5b3ob3o5b3o$54bobo3bo3bobo3bobo3bobo3bobo3bobo3bobo3bo3bobo43bobo3bo3b
obo3bobo3bobo3bobobo3bobobo3bobobo3bobobo3bobo3bobo3bobo3bo3bobo43bobo
3bo3bobo3bobo3bobo3bobo3bobo3bobo3bo3bobo$51b2obob2o5b2ob2ob2ob2ob2ob
2ob2ob2ob2ob2ob2ob2o5b2obob2o37b2obob2o5b2ob2ob2ob2ob2ob2ob3ob3ob3ob3o
b3ob3ob3ob3ob2ob2ob2ob2ob2ob2o5b2obob2o37b2obob2o5b2ob2ob2ob2ob2ob2ob
2ob2ob2ob2ob2ob2o5b2obob2o$48bo15bo31bo15bo31bo15bo15bo31bo15bo15bo31b
o15bo31bo15bo$45b3ob3o9b3ob3o25b3ob3o9b3ob3o25b3ob3o9b3ob3o9b3ob3o25b
3ob3o9b3ob3o9b3ob3o25b3ob3o9b3ob3o25b3ob3o9b3ob3o$42bobobo3bobobo3bobo
bo3bobobo19bobobo3bobobo3bobobo3bobobo19bobobo3bobobo3bobobo3bobobo3bo
bobo3bobobo19bobobo3bobobo3bobobo3bobobo3bobobo3bobobo19bobobo3bobobo
3bobobo3bobobo19bobobo3bobobo3bobobo3bobobo$39b2ob2ob3ob3ob3ob3ob3ob3o
b2ob2o13b2ob2ob3ob3ob3ob3ob3ob3ob2ob2o13b2ob2ob3ob3ob3ob3ob3ob3ob3ob3o
b3ob3ob2ob2o13b2ob2ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob2ob2o13b2ob2ob3ob3o
b3ob3ob3ob3ob2ob2o13b2ob2ob3ob3ob3ob3ob3ob3ob2ob2o$36bo3bo3bo23bo3bo3b
o7bo3bo3bo23bo3bo3bo7bo3bo3bo39bo3bo3bo7bo3bo3bo39bo3bo3bo7bo3bo3bo23b
o3bo3bo7bo3bo3bo23bo3bo3bo$33b3o9b3o17b3o9b3ob3o9b3o17b3o9b3ob3o9b3o
33b3o9b3ob3o9b3o33b3o9b3ob3o9b3o17b3o9b3ob3o9b3o17b3o9b3o$30bobo3bobo
3bobo3bobo11bobo3bobo3bobobo3bobobo3bobo3bobo11bobo3bobo3bobobo3bobobo
3bobo3bobo27bobo3bobo3bobobo3bobobo3bobo3bobo27bobo3bobo3bobobo3bobobo
3bobo3bobo11bobo3bobo3bobobo3bobobo3bobo3bobo11bobo3bobo3bobo3bobo$27b
2obob2ob2ob2ob2ob2ob2obob2o5b2obob2ob2ob2ob3ob3ob3ob3ob2ob2ob2obob2o5b
2obob2ob2ob2ob3ob3ob3ob3ob2ob2ob2obob2o21b2obob2ob2ob2ob3ob3ob3ob3ob2o
b2ob2obob2o21b2obob2ob2ob2ob3ob3ob3ob3ob2ob2ob2obob2o5b2obob2ob2ob2ob
3ob3ob3ob3ob2ob2ob2obob2o5b2obob2ob2ob2ob2ob2ob2obob2o$24bo7bo15bo15bo
7bo15bo7bo15bo7bo15bo7bo7bo15bo7bo7bo15bo7bo7bo15bo7bo7bo15bo7bo15bo7b
o15bo7bo15bo15bo7bo$21b3ob3ob3ob3o9b3ob3o9b3ob3ob3ob3o9b3ob3ob3ob3o9b
3ob3ob3ob3o9b3ob3ob3ob3ob3ob3o9b3ob3ob3ob3ob3ob3o9b3ob3ob3ob3ob3ob3o9b
3ob3ob3ob3ob3ob3o9b3ob3ob3ob3o9b3ob3ob3ob3o9b3ob3ob3ob3o9b3ob3o9b3ob3o
b3ob3o$18bobobo11bobobo3bobobo3bobobo3bobobo11bobobo3bobobo11bobobo3bo
bobo11bobobo3bobobo19bobobo3bobobo19bobobo3bobobo19bobobo3bobobo19bobo
bo3bobobo11bobobo3bobobo11bobobo3bobobo11bobobo3bobobo3bobobo3bobobo
11bobobo$15b2ob2ob2ob2o5b2ob2ob3ob3ob3ob3ob3ob3ob2ob2o5b2ob2ob3ob3ob2o
b2o5b2ob2ob3ob3ob2ob2o5b2ob2ob3ob3ob2ob2o13b2ob2ob3ob3ob2ob2o13b2ob2ob
3ob3ob2ob2o13b2ob2ob3ob3ob2ob2o13b2ob2ob3ob3ob2ob2o5b2ob2ob3ob3ob2ob2o
5b2ob2ob3ob3ob2ob2o5b2ob2ob3ob3ob3ob3ob3ob3ob2ob2o5b2ob2ob2ob2o$12bo3b
o7bo7bo3bo23bo3bo7bo3bo7bo3bo7bo3bo7bo3bo7bo3bo7bo3bo3bo7bo3bo3bo7bo3b
o3bo7bo3bo3bo7bo3bo3bo7bo3bo3bo7bo3bo3bo7bo3bo3bo7bo3bo7bo3bo7bo3bo7bo
3bo7bo3bo7bo3bo23bo3bo7bo7bo3bo$9b3o5b3ob3ob3ob3o5b3o17b3o5b3ob3o5b3ob
3o5b3ob3o5b3ob3o5b3ob3o5b3ob3o9b3ob3o9b3ob3o9b3ob3o9b3ob3o9b3ob3o9b3ob
3o9b3ob3o9b3ob3o5b3ob3o5b3ob3o5b3ob3o5b3ob3o5b3ob3o5b3o17b3o5b3ob3ob3o
b3o5b3o$6bobo3bo3bobo11bobo3bo3bobo11bobo3bo3bobo3bobo3bobo3bobo3bobo
3bobo3bobo3bobo3bobo3bobo3bobo3bobobo3bobobo3bobobo3bobobo3bobobo3bobo
bo3bobobo3bobobo3bobobo3bobobo3bobobo3bobobo3bobobo3bobobo3bobobo3bobo
bo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bo3bobo11bob
o3bo3bobo11bobo3bo3bobo$3b2obob2o5b2obob2o5b2obob2o5b2obob2o5b2obob2o
5b2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob3o
b3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob
3ob3ob3ob3ob3ob3ob3ob3ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob
2ob2ob2ob2ob2ob2ob2o5b2obob2o5b2obob2o5b2obob2o5b2obob2o5b2obob2o$o63b
o63bo127bo63bo63bo!


7:
x = 385, y = 65, rule = W199931532107794273605284333428918544790
192bo$189b7o$186bobobobobobobo$183b2o2b2obobobob2o2b2o$180bo3bo3bo3bo
3bo3bo3bo$177b4o3bo3bo3bo3bo3bo3b4o$174bobo5bobo3bo3bo3bo3bobo5bobo$
171b2o5bobo4bo2bo3bo3bo2bo4bobo5b2o$168bo7bo7bo7bo7bo7bo7bo$165b7ob7ob
7ob7ob7ob7ob7o$162bobobobo7bo7bo7bo7bo7bo7bobobobo$159b2o2b2ob2o2b2ob
7ob7ob7ob7ob7ob2o2b2ob2o2b2o$156bo3bo11bo3bo7bo7bo7bo7bo3bo11bo3bo$
153b4o3b4o5b4o3b4ob7ob7ob7ob4o3b4o5b4o3b4o$150bobo11bo3bo9bo5bo7bo7bo
5bo9bo3bo11bobo$147b2o5b2o5b4o3b4o3b6ob6ob7ob6ob6o3b4o3b4o5b2o5b2o$
144bo15bo15bo15bo15bo15bo15bo$141b7o9b7o9b7o9b7o9b7o9b7o9b7o$138bobobo
bobobobo3bobobobobobobo3bobobobobobobo3bobobobobobobo3bobobobobobobo3b
obobobobobobo3bobobobobobobo$135b2o2b2obobobob2obobob2obobobob2obobob
2obobobob2obobob2obobobob2obobob2obobobob2obobob2obobobob2obobob2obobo
bob2o2b2o$132bo3bo3bo3bo15bo15bo15bo15bo15bo15bo3bo3bo3bo$129b4o3bo3bo
3b4o9b7o9b7o9b7o9b7o9b7o9b4o3bo3bo3b4o$126bobo5bobo3bobo5bobo3bobobobo
bobobo3bobobobobobobo3bobobobobobobo3bobobobobobobo3bobobobobobobo3bob
o5bobo3bobo5bobo$123b2o5bobo4bobo4bobo4bobob2obobobob2obobob2obobobob
2obobob2obobobob2obobob2obobobob2obobob2obobobob2obobo4bobo4bobo4bobo
5b2o$120bo7bo23bo7bo15bo15bo15bo15bo7bo23bo7bo$117b7ob7o17b7ob7o9b7o9b
7o9b7o9b7ob7o17b7ob7o$114bobobobo7bobobobo11bobobobo7bobobobo3bobobobo
bobobo3bobobobobobobo3bobobobobobobo3bobobobo7bobobobo11bobobobo7bobob
obo$111b2o2b2ob2o2b2ob2o2b2ob2o2b2o5b2o2b2ob2o2b2ob2o2b2ob2obobob2obob
obob2obobob2obobobob2obobob2obobobob2obobob2ob2o2b2ob2o2b2ob2o2b2o5b2o
2b2ob2o2b2ob2o2b2ob2o2b2o$108bo3bo23bo7bo19bo11bo15bo15bo11bo19bo7bo
23bo3bo$105b4o3b4o17b7ob7o13b7o5b7o9b7o9b7o5b7o13b7ob7o17b4o3b4o$102bo
bo11bobo11bobobobo7bobobobo7bobobobobobo3bobobobobobo3bobobobobobobo3b
obobobobobo3bobobobobobo7bobobobo7bobobobo11bobo11bobo$99b2o5b2o5b2o5b
2o5b2o2b2ob2o2b2ob2o2b2ob2o2b2ob2o2b2obobob2obobob2obobob2obobob2obobo
bob2obobob2obobob2obobob2obobob2o2b2ob2o2b2ob2o2b2ob2o2b2ob2o2b2o5b2o
5b2o5b2o5b2o$96bo31bo31bo31bo31bo31bo31bo$93b7o25b7o25b7o25b7o25b7o25b
7o25b7o$90bobobobobobobo19bobobobobobobo19bobobobobobobo19bobobobobobo
bo19bobobobobobobo19bobobobobobobo19bobobobobobobo$87b2o2b2obobobob2o
2b2o13b2o2b2obobobob2o2b2o13b2o2b2obobobob2o2b2o13b2o2b2obobobob2o2b2o
13b2o2b2obobobob2o2b2o13b2o2b2obobobob2o2b2o13b2o2b2obobobob2o2b2o$84b
o3bo3bo3bo3bo3bo3bo7bo3bo3bo3bo3bo3bo3bo7bo3bo3bo3bo3bo3bo3bo7bo3bo3bo
3bo3bo3bo3bo7bo3bo3bo3bo3bo3bo3bo7bo3bo3bo3bo3bo3bo3bo7bo3bo3bo3bo3bo
3bo3bo$81b4o3bo3bo3bo3bo3bo3b4ob4o3bo3bo3bo3bo3bo3b4ob4o3bo3bo3bo3bo3b
o3b4ob4o3bo3bo3bo3bo3bo3b4ob4o3bo3bo3bo3bo3bo3b4ob4o3bo3bo3bo3bo3bo3b
4ob4o3bo3bo3bo3bo3bo3b4o$78bobo5bobo3bo3bo3bo3bobo3bo3bo3bobo3bo3bo3bo
3bobo3bo3bo3bobo3bo3bo3bo3bobo3bo3bo3bobo3bo3bo3bo3bobo3bo3bo3bobo3bo
3bo3bo3bobo3bo3bo3bobo3bo3bo3bo3bobo3bo3bo3bobo3bo3bo3bo3bobo5bobo$75b
2o5bobo4bo2bo3bo3bo2bo3bo2bo3bo2bo3bo2bo3bo3bo2bo3bo2bo3bo2bo3bo2bo3bo
3bo2bo3bo2bo3bo2bo3bo2bo3bo3bo2bo3bo2bo3bo2bo3bo2bo3bo3bo2bo3bo2bo3bo
2bo3bo2bo3bo3bo2bo3bo2bo3bo2bo3bo2bo3bo3bo2bo4bobo5b2o$72bo7bo7bo7bo
31bo31bo31bo31bo31bo31bo7bo7bo7bo$69b7ob7ob7ob7o25b7o25b7o25b7o25b7o
25b7o25b7ob7ob7ob7o$66bobobobo7bo7bo7bobobobo19bobobobobobobo19bobobob
obobobo19bobobobobobobo19bobobobobobobo19bobobobobobobo19bobobobo7bo7b
o7bobobobo$63b2o2b2ob2o2b2ob7ob7ob2o2b2ob2o2b2o13b2o2b2obobobob2o2b2o
13b2o2b2obobobob2o2b2o13b2o2b2obobobob2o2b2o13b2o2b2obobobob2o2b2o13b
2o2b2obobobob2o2b2o13b2o2b2ob2o2b2ob7ob7ob2o2b2ob2o2b2o$60bo3bo11bo3bo
7bo3bo11bo3bo7bo3bo3bo3bo3bo3bo3bo7bo3bo3bo3bo3bo3bo3bo7bo3bo3bo3bo3bo
3bo3bo7bo3bo3bo3bo3bo3bo3bo7bo3bo3bo3bo3bo3bo3bo7bo3bo11bo3bo7bo3bo11b
o3bo$57b4o3b4o5b4o3b4ob4o3b4o5b4o3b4ob4o3bo3bo3bo3bo3bo3b4ob4o3bo3bo3b
o3bo3bo3b4ob4o3bo3bo3bo3bo3bo3b4ob4o3bo3bo3bo3bo3bo3b4ob4o3bo3bo3bo3bo
3bo3b4ob4o3b4o5b4o3b4ob4o3b4o5b4o3b4o$54bobo11bo3bo9bo3bo9bo3bo9bo3bo
3bobo3bo3bo3bo3bobo3bo3bo3bobo3bo3bo3bo3bobo3bo3bo3bobo3bo3bo3bo3bobo
3bo3bo3bobo3bo3bo3bo3bobo3bo3bo3bobo3bo3bo3bo3bobo3bo3bo9bo3bo9bo3bo9b
o3bo11bobo$51b2o5b2o5b4o3b4o3b4o3b4o3b4o3b4o3b4o3bo2bo3bo2bo3bo3bo2bo
3bo2bo3bo2bo3bo2bo3bo3bo2bo3bo2bo3bo2bo3bo2bo3bo3bo2bo3bo2bo3bo2bo3bo
2bo3bo3bo2bo3bo2bo3bo2bo3bo2bo3bo3bo2bo3bo2bo3b4o3b4o3b4o3b4o3b4o3b4o
3b4o5b2o5b2o$48bo15bo47bo15bo31bo31bo31bo31bo15bo47bo15bo$45b7o9b7o41b
7o9b7o25b7o25b7o25b7o25b7o9b7o41b7o9b7o$42bobobobobobobo3bobobobobobob
o35bobobobobobobo3bobobobobobobo19bobobobobobobo19bobobobobobobo19bobo
bobobobobo19bobobobobobobo3bobobobobobobo35bobobobobobobo3bobobobobobo
bo$39b2o2b2obobobob2obobob2obobobob2o2b2o29b2o2b2obobobob2obobob2obobo
bob2o2b2o13b2o2b2obobobob2o2b2o13b2o2b2obobobob2o2b2o13b2o2b2obobobob
2o2b2o13b2o2b2obobobob2obobob2obobobob2o2b2o29b2o2b2obobobob2obobob2ob
obobob2o2b2o$36bo3bo3bo3bo15bo3bo3bo3bo23bo3bo3bo3bo15bo3bo3bo3bo7bo3b
o3bo3bo3bo3bo3bo7bo3bo3bo3bo3bo3bo3bo7bo3bo3bo3bo3bo3bo3bo7bo3bo3bo3bo
15bo3bo3bo3bo23bo3bo3bo3bo15bo3bo3bo3bo$33b4o3bo3bo3b4o9b4o3bo3bo3b4o
17b4o3bo3bo3b4o9b4o3bo3bo3b4ob4o3bo3bo3bo3bo3bo3b4ob4o3bo3bo3bo3bo3bo
3b4ob4o3bo3bo3bo3bo3bo3b4ob4o3bo3bo3b4o9b4o3bo3bo3b4o17b4o3bo3bo3b4o9b
4o3bo3bo3b4o$30bobo5bobo3bobo5bobo3bobo5bobo3bobo5bobo11bobo5bobo3bobo
5bobo3bobo5bobo3bobo3bo3bo3bobo3bo3bo3bo3bobo3bo3bo3bobo3bo3bo3bo3bobo
3bo3bo3bobo3bo3bo3bo3bobo3bo3bo3bobo3bobo5bobo3bobo5bobo3bobo5bobo11bo
bo5bobo3bobo5bobo3bobo5bobo3bobo5bobo$27b2o5bobo4bobo4bobo4bobo4bobo4b
obo4bobo5b2o5b2o5bobo4bobo4bobo4bobo4bobo4bobo3bo2bo3bo2bo3bo2bo3bo3bo
2bo3bo2bo3bo2bo3bo2bo3bo3bo2bo3bo2bo3bo2bo3bo2bo3bo3bo2bo3bo2bo3bo2bo
3bobo4bobo4bobo4bobo4bobo4bobo5b2o5b2o5bobo4bobo4bobo4bobo4bobo4bobo4b
obo5b2o$24bo7bo47bo15bo39bo23bo31bo31bo23bo39bo15bo47bo7bo$21b7ob7o41b
7o9b7o33b7o17b7o25b7o25b7o17b7o33b7o9b7o41b7ob7o$18bobobobo7bobobobo
35bobobobobobobo3bobobobobobobo27bobobobobobobo11bobobobobobobo19bobob
obobobobo19bobobobobobobo11bobobobobobobo27bobobobobobobo3bobobobobobo
bo35bobobobo7bobobobo$15b2o2b2ob2o2b2ob2o2b2ob2o2b2o29b2o2b2obobobob2o
bobob2obobobob2o2b2o21b2o2b2obobobob2o2b2o5b2o2b2obobobob2o2b2o13b2o2b
2obobobob2o2b2o13b2o2b2obobobob2o2b2o5b2o2b2obobobob2o2b2o21b2o2b2obob
obob2obobob2obobobob2o2b2o29b2o2b2ob2o2b2ob2o2b2ob2o2b2o$12bo3bo23bo3b
o23bo3bo3bo3bo15bo3bo3bo3bo15bo3bo3bo3bo3bo3bo7bo3bo3bo3bo3bo3bo7bo3bo
3bo3bo3bo3bo3bo7bo3bo3bo3bo3bo3bo7bo3bo3bo3bo3bo3bo15bo3bo3bo3bo15bo3b
o3bo3bo23bo3bo23bo3bo$9b4o3b4o17b4o3b4o17b4o3bo3bo3b4o9b4o3bo3bo3b4o9b
4o3bo3bo3bo3bo3b4ob4o3bo3bo3bo3bo3b4ob4o3bo3bo3bo3bo3bo3b4ob4o3bo3bo3b
o3bo3b4ob4o3bo3bo3bo3bo3b4o9b4o3bo3bo3b4o9b4o3bo3bo3b4o17b4o3b4o17b4o
3b4o$6bobo11bobo11bobo11bobo11bobo5bobo3bobo5bobo3bobo5bobo3bobo5bobo
3bobo5bobo3bo3bo3bobo3bo3bo3bobo3bo3bo3bobo3bo3bo3bobo3bo3bo3bo3bobo3b
o3bo3bobo3bo3bo3bobo3bo3bo3bobo3bo3bo3bobo5bobo3bobo5bobo3bobo5bobo3bo
bo5bobo3bobo5bobo11bobo11bobo11bobo11bobo$3b2o5b2o5b2o5b2o5b2o5b2o5b2o
5b2o5b2o5bobo4bobo4bobo4bobo4bobo4bobo4bobo4bobo4bobo4bo2bo3bo2bo3bo2b
o3bo2bo3bo2bo3bo2bo3bo2bo3bo2bo3bo2bo3bo3bo2bo3bo2bo3bo2bo3bo2bo3bo2bo
3bo2bo3bo2bo3bo2bo3bo2bo4bobo4bobo4bobo4bobo4bobo4bobo4bobo4bobo4bobo
5b2o5b2o5b2o5b2o5b2o5b2o5b2o5b2o5b2o$o63bo63bo63bo63bo63bo63bo!


Haven't been able to find any 8-fold or higher replication sequences so far, but they probably do exist. Would like it if Golly and/or LifeViewer could eventually support these rules some time in the future, as MCell is quite tricky to use.
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Re: Miscellaneous Discoveries in Other Cellular Automata

Postby wwei23 » August 5th, 2018, 10:00 pm

I'm thinking about Pascal triangle modulo 3, like how modulo 2 it generates sierspinski. I found some threefold replicators before.
o$oo$ooo$obbo$ooboo$oooooo$obbobbo$oobooboo$ooooooooo$obbbbbbbbo$oobbbbbbboo$ooobbbbbbooo$obbobbbbbobbo$ooboobbbbooboo$oooooobbboooooo$obbobbobbobbobbo$ooboobooboobooboo$oooooooooooooooooo$obbbbbbbbobbbbbbbbo$oobbbbbbboobbbbbbboo$ooobbbbbbooobbbbbbooo$obbobbbbbobbobbbbbobbo$ooboobbbbooboobbbbooboo$oooooobbboooooobbboooooo$obbobbobbobbobbobbobbobbo$oobooboobooboobooboobooboo$ooooooooooooooooooooooooooo
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Re: Miscellaneous Discoveries in Other Cellular Automata

Postby muzik » August 6th, 2018, 9:47 am

Here's a ninefold replicator rule:

http://m.wolframalpha.com/input/?i=rule ... 5163081110

Is anyone able to find an 8-fold?
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Re: Miscellaneous Discoveries in Other Cellular Automata

Postby AforAmpere » August 6th, 2018, 8:48 pm

A rule with a natural 20c/67, and a 10c/38:
x = 14, y = 32, rule = B2e3aeiy4ace5i6c7e8/S2-n3-aqr4aqrtz5aeny6cn
4b2o$3bobobo$3bo2bo$3bo3b2o$3bo2bobo$7bo$2b2o$5bo4b2o$bo2bobo3bo2bo$7o
2bo3bo$bo2bobo3bo2bo$5bo4b2o$2b2o$7bo$3bo2bobo$3bo3b2o$3bo2bo$3bobobo$
4b2o8$3b2o$2bobo5b2o$3b2o5b3o$3bobo7bo$3b2o6bobo$11b3o!


EDIT, and one transition away is a rule with a natural 3c/18 and a 3c/33 diagonal:
x = 36, y = 14, rule = B2e3aeiy4ace5i6c78/S2-n3-aqr4aqrtz5aeny6cn
3b2o27bo$2bo2bo17b3o4b2ob2o$2bo2bo17b2obo3b2ob2o$3b2o18b3o3bo2bo2bo$
30b2ob2o$o2b2o2bo15b2o5b2ob2o$b6o15bob2o6bo$2b4o17b2o$23b2o$33bo$29bo
2bobo$27b4ob3o$27b2obob3o$29bo!


One of the coolest explosions that I've seen:
x = 5, y = 5, rule = B2e3aeiy4ace5i6c78/S2-n3-aqr4aqrtz5aeiny67c8
o$3o$o2bo$3bo$2b3o!


A knightpuffer that probably can't be stabilized into a ship:
x = 12, y = 14, rule = B2e3aeiy4ae5i6c78/S2-n3-akqr4aqrtz5aeiny6-ei7e8
2$7bo$6bob2o$5bo3bo$6bo3bo$7bobo$5bo2bo$5b2o!
Things to work on:
- Find a (7,1)c/8 ship in a Non-totalistic rule (someone please search the rules)
- Find a C/10 in JustFriends
- Find a C/10 in Day and Night
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Re: Miscellaneous Discoveries in Other Cellular Automata

Postby 77topaz » August 6th, 2018, 10:47 pm

AforAmpere wrote:One of the coolest explosions that I've seen:
x = 5, y = 5, rule = B2e3aeiy4ace5i6c78/S2-n3-aqr4aqrtz5aeiny67c8
o$3o$o2bo$3bo$2b3o!


Reminds me of this: B3ai4a/S3i4a5ai6ac7c8.
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Re: Miscellaneous Discoveries in Other Cellular Automata

Postby Hdjensofjfnen » August 7th, 2018, 8:13 pm

Talk about a weird p58:
x = 4, y = 4, rule = B35ak/S2-i34q
bo$b2o$o2bo$b2o!


EDIT:
One isotropic bit difference, 2 different spaceships:
x = 3, y = 4, rule = B34r5iy/S02ain3
3o$obo$obo$bo!

x = 3, y = 4, rule = B34r5iy/S02ain3-i
3o$obo$obo$bo!


EDIT:
And the award for Most Hardworking Spaceship goes to:
x = 36, y = 64, rule = B2kn34cer5iy6ce7c8/S02ain3-i
33bo3$34bo$26bo$34bo$26bo$34bo$26bo$34bo$26bo$34bo$26bo$34bo$26bo$34bo
$26bo$34bo$26bo$34bo$26bo$34bo$26bo$34bo$26bo$34bo$26bo$34bo$26bo$29b
3o$29bobo$29bobo2$35bo$27bo$35bo$27bo$35bo$27bo$35bo$27bo$35bo$27bo$
35bo$27bo$35bo$27bo$35bo$27bo$35bo$27bo$35bo$27bo$35bo$27bo$obobobobob
obobobobobobobo10bo$27bo$35bo$27bo3$29bo2$bobobobobobobobobobobobobo!
Last edited by Hdjensofjfnen on August 7th, 2018, 8:55 pm, edited 2 times in total.
Life is hard. Deal with it.
My favorite oscillator of all time:
x = 7, y = 3, rule = B3-r4j/S2-i3
o5bo$2o3b2o$b2ob2o!
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Re: Miscellaneous Discoveries in Other Cellular Automata

Postby Hdjensofjfnen » August 7th, 2018, 8:15 pm

77topaz wrote:
AforAmpere wrote:One of the coolest explosions that I've seen:
x = 5, y = 5, rule = B2e3aeiy4ace5i6c78/S2-n3-aqr4aqrtz5aeiny67c8
o$3o$o2bo$3bo$2b3o!


Reminds me of this: B3ai4a/S3i4a5ai6ac7c8.


Reminds me of a tortoise!
Life is hard. Deal with it.
My favorite oscillator of all time:
x = 7, y = 3, rule = B3-r4j/S2-i3
o5bo$2o3b2o$b2ob2o!
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Re: Miscellaneous Discoveries in Other Cellular Automata

Postby danny » August 8th, 2018, 4:57 pm

My new favourite spaceship, a 23c/94 diagonal made of two B-heptominoes:
x = 6, y = 15, rule = B3-ckq6ac8/S2-c3-a4iq5ck
o$b2o$2b2o$bob2o$bobo$b2o4$4o$o2b2o$2o2b2o$4bo$bobo$bo!

Unfortunately the rule is explosive:
x = 18, y = 9, rule = B3-ckq6ac8/S2-c3-a4iq5ck
2o$b2o$2o4$16b2o$17bo$16b2o!


A Semi-B turner:
x = 76, y = 19, rule = B3-ckq6ac8/S2-c3-a4iq5ck
5b2o58b2o$5bobo57bobo$6b2o58b2o2$13b2o28b2o28b2o$13bobo27bobo27bobo$
14b2o28b2o28b2o$2o28b2o28b2o$ob2o26bob2o26bob2o$3bo29bo29bo$bobo27bobo
27bobo$b2o28b2o28b2o$14b2o28b2o28b2o$13bobo27bobo27bobo$13b2o28b2o28b
2o2$36b2o28b2o$35bobo27bobo$35b2o28b2o!


Semi-B -> Two spaceships:
x = 18, y = 18, rule = B3-ckq6ac8/S2-c3-a4iq5ck
5b2o$5bobo$6b2o2$13b2o$13bobo$14b2o$2o$ob2o$3bo$bobo$b2o$14b2o$13bobo$
13b2o$16b2o$15bobo$15b2o!

It can easily be turned into a duplicator, as well as a gun. p192, p96, and p48 guns, the latter of which has a one-barrel component:
x = 44, y = 42, rule = B3-ckq6ac8/S2-c3-a4iq5ck
31b2o$31bobo$32b2o2$39b2o$39bobo$40b2o$27b2o$27bobo$29bo$26bob2o$26b2o
$40b2o$39bobo$39b2o$42b2o$41bobo$41b2o2$21b2o$20bo2bo$20bo2bo$21b2o2$b
2o$obo$2o$3b2o$2bobo$2b2o6$2b2o$2bobo$3b2o2$10b2o$10bobo$11b2o!

x = 44, y = 42, rule = B3-ckq6ac8/S2-c3-a4iq5ck
31b2o$31bobo$32b2o2$39b2o$39bobo$40b2o$27b2o$27bobo$29bo$26bob2o$26b2o
$40b2o$39bobo$39b2o$42b2o$41bobo$41b2o2$21b2o$20bo2bo$20bo2bo$21b2o2$b
2o$obo$2o$3b2o$2bobo$2b2o$16b2o$14b2obo$14bo$14bobo$15b2o$2b2o$2bobo$
3b2o2$10b2o$10bobo$11b2o!

x = 44, y = 42, rule = B3-ckq6ac8/S2-c3-a4iq5ck
31b2o$31bobo$32b2o2$39b2o$7b2o30bobo$6bobo31b2o$6b2o19b2o$27bobo$29bo$
26bob2o$26b2o$40b2o$39bobo$39b2o$42b2o$41bobo$13b3o25b2o$13bo2bo$6b2o
4bo2b2o4b2o$6bobo3b2o6bo2bo$7b2o11bo2bo6b2o$21b2o4b2o2bo$27bo2bo$b2o
25b3o$obo$2o$3b2o$2bobo$2b2o$16b2o$14b2obo$14bo$14bobo$15b2o$2b2o$2bob
o$3b2o2$10b2o$10bobo$11b2o!
Please stop using my full name. Refer to me as dani.

she/they

"I'm always on duty, even when I'm off duty." -Cody Kolodziejzyk, Ph.D.
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Re: Miscellaneous Discoveries in Other Cellular Automata

Postby Hdjensofjfnen » August 8th, 2018, 9:02 pm

Two spaceships in a rule where I thought there would be none:
x = 5, y = 15, rule = B3/S13
o$o$2bo$2b2o$2bo6$bo$o2bo$3b2o$o2bo$bo!
Life is hard. Deal with it.
My favorite oscillator of all time:
x = 7, y = 3, rule = B3-r4j/S2-i3
o5bo$2o3b2o$b2ob2o!
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Re: Miscellaneous Discoveries in Other Cellular Automata

Postby 77topaz » August 8th, 2018, 10:06 pm

Those B3/S13 ships are known, and there's a few more ones listed here. (That database can actually be used for any outer-totalistic rule.)
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Re: Miscellaneous Discoveries in Other Cellular Automata

Postby Hdjensofjfnen » August 9th, 2018, 10:58 am

A puffer that doesn't explode:
x = 5, y = 4, rule = B2/S0
b2o$o$3bo$2bobo!


EDIT: And this:
x = 6, y = 3, rule = B2-ae3ai/S0
3bo$bo3bo$2o!


EDIT: Replicator (??)
x = 3, y = 5, rule = B2-ae3ai/S0
obo4$bo!


EDIT: Made stable:
x = 8, y = 8, rule = B2-ae3ai/S02i
bo3$obo2$4bo$7bo$4bo!
Life is hard. Deal with it.
My favorite oscillator of all time:
x = 7, y = 3, rule = B3-r4j/S2-i3
o5bo$2o3b2o$b2ob2o!
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Re: Miscellaneous Discoveries in Other Cellular Automata

Postby Hdjensofjfnen » August 9th, 2018, 1:10 pm

c/4o:
x = 6, y = 5, rule = B2i34e5-cjnr/S2-i34cq
4b2o$b2o$obo2bo$b2o$4b2o!


EDIT: My new favorite, 3c/28o:
x = 8, y = 4, rule = B3-ek/S023
bobo$2obo3bo$bobo$3bo!
Life is hard. Deal with it.
My favorite oscillator of all time:
x = 7, y = 3, rule = B3-r4j/S2-i3
o5bo$2o3b2o$b2ob2o!
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Re: Miscellaneous Discoveries in Other Cellular Automata

Postby calcyman » August 11th, 2018, 10:39 am

danny wrote:p192, p96, and p48 guns, the latter of which has a one-barrel component:


...and p64:

x = 57, y = 50, rule = B3-ckq6ac8/S2-c3-a4iq5ck
31b2o$31bobo$32b2o2$39b2o$7b2o30bobo$6bobo31b2o$6b2o22bo5b2o$29b2o5bob
o$28b2o8b2o$29b2o5bobo$30bo5b2o17b2o$40b2o13b2o$39bobo7b3o4bo$39b2o9b
2o2bo$42b2o$13b3o25bobo$12bo2bo25b2o$12b2o2bo$6b2o3b6o4b2o$6bobo3b4o4b
o2bo$7b2o11bo2bo$21b2o11b2o$24bo9bobo$b2o20bo2bo2bo2b2o2b2o$obo20bob2o
5b5o$2o24b2o3b2o2bo$3b2o20bo7bo$2bobo$2b2o$22bo13bo$21bo15bo$20b2o15b
2o$21b2obo9bob2o$22b3o9b3o$2b2o$2bobo$3b2o2$10b2o$10bobo$11b2o3$43b4o$
42b6o5b3o$42bo2b2o7b2o$43bo2bo4bo2bo$43b3o5bo2bo$51b3o!
What do you do with ill crystallographers? Take them to the mono-clinic!
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Re: Miscellaneous Discoveries in Other Cellular Automata

Postby BlinkerSpawn » August 11th, 2018, 2:10 pm

p235:
x = 110, y = 110, rule = B3-ckq6ac8/S2-c3-a4iq5ck
32b2o$31bobo$31b2o3$42b3o$34b3o5bo2bo$34bo2bo3bo2b2o$33bo2b2o3b2o5$36b
o$37b2o17$107b2o$107bobo$101bo6b2o$68b3o31b2o$68bo2bobo29bo$35bo32b2ob
2o23bo4bobo$36b2o32b3o22bo5b2o$35b3o57bo$34bo2bo2b2o3bo$34bobo4bo2b2o
24bo$34b3o4bo3bo22b3o30b2o$42b3o22bo33bob2o$67bo36bo$67bobo32bobo$68b
3o31b2o19$6b2o31b3o$5bobo32bobo$5bo36bo$5b2obo33bo22b3o$7b2o30b3o22bo
3bo4b3o$39bo24b2o2bo4bobo$64bo3b2o2bo2bo$14bo57b3o$7b2o5bo22b3o32b2o$
6bobo4bo23b2ob2o32bo$6bo29bobo2bo$6b2o31b3o$2o6bo$obo$b2o17$71b2o$73bo
5$67b2o3b2o2bo$64b2o2bo3bo2bo$64bo2bo5b3o$65b3o3$77b2o$76bobo$76b2o!

Could conceivably be extended to most periods above, say, 150, although the loops would be very large.
Suppressing sparks takes the repeat time all the way down to 47, precisely half the period of the larger ship:
x = 75, y = 84, rule = B3-ckq6ac8/S2-c3-a4iq5ck
5b3o$4bo2bo$4b2o2bo23b2o$7b2o22bobo$30bobo$30b2o$17b2o$17bobo$18b2o5$
15b2o31b3o$14bobo32bobo$14bo36bo$14b2obo33bo$16b2o30b3o$48bo2$23bo$16b
2o5bo22b3o$15bobo4bo23b2ob2o$bo13bo12b3o14bobo2bo$o14b2o10bo2bo5b3o9b
3o$3o6b2o6bo9b2o2bo3bo2bo$9bobo18b2o3b2o2bo$10b2o4$36bo$34b2o4$38b2o
31b3o$37bobo32bobo$37bo36bo$37b2obo33bo$39b2o30b3o$71bo2$46bo$39b2o5bo
22b3o$38bobo4bo23b2ob2o$38bo12b3o14bobo2bo$38b2o10bo2bo5b3o9b3o$40bo9b
2o2bo3bo2bo$53b2o3b2o2bo5$37bo21bo$35b2o20b2o$35b3o$27bo3b2o2bo2bo$27b
2o2bo4bobo$27bo3bo4b3o$28b3o17$60bo$58b2o$58b3o$50bo3b2o2bo2bo$50b2o2b
o4bobo$50bo3bo4b3o$51b3o!

Not sure if any further reduction could be done by suppressing the larger output ship.
Proof-of-concept p47 gun:
x = 106, y = 106, rule = B3-ckq6ac8/S2-c3-a4iq5ck
20bo$19b2o$19bobo$63b3o$55b3o5bo2bo$55bo2bo3bo2b2o$54bo2b2o3b2o5$57bo$
31b2o25b2o$31bobo$31bo2$54b2o$54bobo$56bo$53bob2o46b2o$53b2o49b2o$30b
2o71bo$29bobo$29b2o$58b2o$57bo$40b3o$32b3o5bo2bo$32bo2bo3bo2b2o$31bo2b
2o3b2o8b2o31b2o$48bobo3bo2b2o3b2o18bobo$48b2o5bo2bo3bo2b2o9bo6b2o6b3o$
55b3o5bo2bo10b2o14bo$63b3o12bo13bo$34bo36bo4bobo$35b2o33bo5b2o$70bo3$
4b2o25b2o43b2o$3bobo25bobo42bob2o$3bo29bo45bo$3b2obo23bob2o17b2o24bobo
$5b2o23b2o19bobo23b2o$52bobo$53b2o$12bo11bo$5b2o5bo11bo5b2o$4bobo4bo
13bo4bobo41b2o$4bo12b3o12bo41bobo$4b2o10bo2bo11b2o42b2o$6bo9b2o2bo9bo
13b2o16b2o$19b2o22bobo15bobo$42bobo15bobo22b2o$42b2o16b2o13bo9bo2b2o9b
o$29b2o42b2o11bo2bo10b2o$29bobo41bo12b3o12bo$30b2o41bobo4bo13bo4bobo$
74b2o5bo11bo5b2o$81bo11bo$51b2o$51bobo$27b2o23bobo19b2o23b2o$26bobo24b
2o17b2obo23bob2o$26bo45bo29bo$26b2obo42bobo25bobo$28b2o43b2o25b2o3$35b
o$28b2o5bo33b2o$27bobo4bo36bo$13bo13bo12b3o$12bo14b2o10bo2bo5b3o$12b3o
6b2o6bo9b2o2bo3bo2bo5b2o$21bobo18b2o3b2o2bo3bobo$22b2o31b2o8b2o3b2o2bo
$62b2o2bo3bo2bo$62bo2bo5b3o$63b3o$48bo$46b2o$75b2o$74bobo$2bo71b2o$2o
49b2o$b2o46b2obo$49bo$49bobo$50b2o2$74bo$72bobo$46b2o25b2o$48bo5$42b2o
3b2o2bo$39b2o2bo3bo2bo$39bo2bo5b3o$40b3o$84bobo$85b2o$85bo!
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

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Re: Miscellaneous Discoveries in Other Cellular Automata

Postby Rhombic » August 11th, 2018, 5:14 pm

Another t-push reaction, this time with a knightship.
x = 7, y = 20, rule = B3-c6n7e/S2-i34q
3o$3o$bo8$4bo$2b4o$2bo2b2o$o2bo$3o$2o2$4bo2$5bo!
SoL : FreeElectronics : DeadlyEnemies : 6a-ite
what is “sesame oil”?
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Re: Miscellaneous Discoveries in Other Cellular Automata

Postby Gamedziner » August 11th, 2018, 8:38 pm

A 17-omino + is a p3 oscillator in B34e/S23, just one transition away from Life.
x = 9, y = 9, rule = B34e/S23
4bo$4bo$4bo$4bo$9o$4bo$4bo$4bo$4bo!

I accidentally discovered this while messing around in Life (at gen 3 in Life, the center cell is the only thing missing).
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Re: Miscellaneous Discoveries in Other Cellular Automata

Postby wwei23 » August 11th, 2018, 9:39 pm

Gamedziner wrote:(at gen 3 in Life, the center cell is the only thing missing).

If it's that close to a P3 in Life, then there must be a way to make it so in Life.
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Re: Miscellaneous Discoveries in Other Cellular Automata

Postby BlinkerSpawn » August 11th, 2018, 9:48 pm

wwei23 wrote:
Gamedziner wrote:(at gen 3 in Life, the center cell is the only thing missing).

If it's that close to a P3 in Life, then there must be a way to make it so in Life.

...except it Doesn't Work That Way.
Life has no birth on any neighborhood with all four orthogonal neighbors ON, so you can't turn that cell ON.
Even if you only used three - or two- of the spokes, there's no way to connect the generations to each other without requiring some alien birth/survival condition.
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

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Re: Miscellaneous Discoveries in Other Cellular Automata

Postby KittyTac » August 12th, 2018, 1:25 am

wwei23 wrote:
Gamedziner wrote:(at gen 3 in Life, the center cell is the only thing missing).

If it's that close to a P3 in Life, then there must be a way to make it so in Life.

Look. Stabilisations aren't magic.
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Re: Miscellaneous Discoveries in Other Cellular Automata

Postby Hdjensofjfnen » August 13th, 2018, 8:21 pm

Rule preserves the glider, and has natural p2s, p3s, p4s, and p6s:
x = 34, y = 5, rule = B2i3-e4qw/S02-i34q
33bo$bo10bo6b2o6bo5bo$2bo8bo2bo4b2o11b2o$3o8bo2bo6b2o4bo$13bo7b2o9bo!
Life is hard. Deal with it.
My favorite oscillator of all time:
x = 7, y = 3, rule = B3-r4j/S2-i3
o5bo$2o3b2o$b2ob2o!
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Re: Miscellaneous Discoveries in Other Cellular Automata

Postby 77topaz » August 14th, 2018, 12:02 am

Hdjensofjfnen wrote:Rule preserves the glider, and has natural p2s, p3s, p4s, and p6s:
x = 34, y = 5, rule = B2i3-e4qw/S02-i34q
33bo$bo10bo6b2o6bo5bo$2bo8bo2bo4b2o11b2o$3o8bo2bo6b2o4bo$13bo7b2o9bo!


A c/14 diagonal in that rule:
x = 5, y = 5, rule = B2i3-e4qw/S02-i34q
3o$2obo$2o2bo$2b3o$2b3o!
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Re: Miscellaneous Discoveries in Other Cellular Automata

Postby Hdjensofjfnen » August 14th, 2018, 8:42 pm

Ship and puffer:
x = 7, y = 24, rule = B2ekn3ai4ck7/S23
b2o2bo$o4bo$b5o2$3b2o$2bo$3b2o11$2b2o$bo3bo$2b5o$4bobo$b2o$o$b2o!
Life is hard. Deal with it.
My favorite oscillator of all time:
x = 7, y = 3, rule = B3-r4j/S2-i3
o5bo$2o3b2o$b2ob2o!
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Re: Miscellaneous Discoveries in Other Cellular Automata

Postby jimmyChen2013 » August 14th, 2018, 10:38 pm

Is this a replicator?
I can't tell
x = 8, y = 6, rule = B3aik4an6i/S3in4a5ai6aci7c8
b5o$b5o$8o$8o$b5o$b5o!


also this 2c/10
x = 6, y = 6, rule = B3aik4an6i/S2a3in4a5aiq6aci7c8
4bo$b3o$6o$6o$b5o$2b2o!
Failed Replicator!
x = 4, y = 4, rule = B34ce5cen67c8/S2-i3-jqry4cent5j67c8
bo$obo$bobo$2bo!

(That I wish was not failed D:)
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Re: Miscellaneous Discoveries in Other Cellular Automata

Postby 77topaz » August 15th, 2018, 2:17 am

No, it's not a replicator, it's just a messy sort of explosion. Here's a population plot:

x = 563, y = 536, rule = B3/S23
269b3o2bo6b3o2b4o2b4o3b3o3b3o2b4o2b4o$268bo3bobo7bo3bo3bobo3bobo3bobo
3bobo3bobo3bo$268bo5bo7bo3bo3bobo3bobo3bobo3bobo3bobo3bo$268bo5bo7bo3b
4o2b4o2bo3bob5ob4o2bo3bo$268bo5bo7bo3bo5bo3bobo3bobo3bobo2bo2bo3bo$
268bo3bobo7bo3bo5bo3bobo3bobo3bobo3bobo3bo$269b3o2b5o2b3o2bo5b4o3b3o2b
o3bobo3bob4o8$5o4bo2b5o2b3o3b3o5bo$4bo3b2o6bobo3bobo3bo3b2o$3bo3bobo5b
o2bo3bo5bo2bobo$2bo3bo2bo4bo4b3o5bo2bo2bo11bo138bo$bo4b5o2bo4bo3bo3bo
3b5o10bo138bo$o8bo2bo5bo3bo2bo7bo11bo138bo$o8bo2bo6b3o2b5o4bo11bo138bo
$45bo138bo$45bo138bo$45bo138bo$45bo138bo$45bo138bo$45bo138bo$45bo138bo
$45bo138bo$45bo138bo$45bo138b2o$45bo138b2o$45bo138b2o$45bo138b2o$45bo
138b2o$45bo138b2o$45bo138b2o$45bo138b2o$45bo138b2o$45bo138b2o$45bo138b
2o$45bo138b2o$45bo138b2o$45bo138b2o$45bo138b2o$45bo138b2o$45bo138b2o$
45bo138b2o$45bo138b2o$45bo138b2o$45bo138b2o$45bo138b2o$45bo138b2o$45bo
138b2o$45bo138b2o$45bo138b2o$45bo138b2o$45bo138b2o$45bo138b2o$45bo138b
2o$45bo138b2o$45bo138b2o$45bo138b2o$45bo138b2o$45bo138b2o$45bo138b2o$
45bo138b2o$45bo138b2o$45bo138b2o$45bo138b2o$45bo138b2o$45bo137b3o$45bo
137bobo$45bo137bobo$45bo137bobo$45bo137bobo$45bo137bobo$45bo137bobo$
45bo137bobo$45bo137bobo$45bo137bobo$45bo137bobo$45bo137bobo$45bo137bob
o$45bo137bobo$45bo137bobo$45bo137bobo$45bo137bobo$45bo137bobo$45bo137b
obo$45bo137bobo$45bo137bobo$45bo137bobo$45bo137bobo214bo$45bo137bobo
214bo$45bo137bobo214bo$45bo137bobo214bo$45bo137bobo214bo$45bo137bobo
214bo$45bo137bobo214bo$45bo137bobo214bo$45bo137bobo214bo$45bo137bobo
214bo$45bo137bobo214bo$45bo137bobo214bo$45bo137bobo214bo$45bo137bobo
214bo$45bo137bobo214bo$45bo137bobo214bo$45bo137bobo214bo$45bo137bobo
214bo$45bo137bobo214bo$45bo137bobo214bo$45bo137bobo214bo$45bo137bobo
214bo119bo$45bo137bobo213b2o119bo$45bo137bobo213b2o119bo$45bo137bobo
213b2o119bo$45bo137bobo213b2o119bo$45bo137bobo213b2o119bo$45bo137bobo
213b2o119bo$45bo137bobo213b2o119bo$45bo137bobo213b2o119bo$45bo137bobo
213b2o119bo$45bo137bobo213b2o119bo$45bo137bobo213b2o119bo$45bo137bobo
213b2o118b2o$45bo137bobo213b2o118b2o$45bo137bobo213b2o118b2o$45bo137bo
bo213b2o118b2o$45bo137bobo213b2o118b2o$45bo137bobo213b2o118b2o$45bo
137bobo213b2o118b2o$45bo137bobo213b2o118b2o$45bo137bobo213b2o118b2o$
45bo137bobo213b2o118b2o$45bo137bobo213b2o118b2o$45bo137bobo213b2o118b
2o$45bo137bobo213b2o118b2o$45bo137bobo213b2o118b2o$45bo137bobo213b2o
118b2o$45bo137bobo213b2o118b2obo$45bo137bobo213b2o118b4o$45bo137bobo
213b2o118b4o$45bo137bobo213b2o118b4o$45bo137bobo213b2o118b4o$45bo137bo
bo213b2o118b4o$45bo137bobo213b2o118b4o$45bo137bobo213b2o118b4o$45bo
137bobo213b2o118b4o$45bo137bobo213b2o118b4o$45bo137bobo213b2o118b4o$
45bo137bobo213b2o118b4o$45bo137bobo213b2o118b4o$45bo137bobo213b2o118b
4o$45bo137bobo213b2o118b4o$45bo137bobo213b2o118b4o$45bo137bobo213b2o
118b4o$45bo137bobo213b2o118b4o$45bo137bobo213b2o118b4o$45bo137bobo213b
2o118b4o$45bo137bobo213b2o118b4o$45bo137bobo213b2o118b4o$45bo137bobo
213b2o118b4o$45bo137bobo213b2o118b4o$45bo137bobo213b2o118b4o$45bo137bo
bo213b2o118b4o$45bo137bobo213b2o118b4o$45bo137bobo213b2o118b4o$45bo
137bobo213b2o118b4o$45bo137bobo213b2o118b4o$45bo137bobo213b2o118b4o$
45bo137bobo213b2o118b4o$45bo137bobo213b2o118b4o$45bo137bobo213b2o118b
4o$45bo137bobo213b3o117b4o$45bo137bobo213b3o117b4o$45bo137bobo213b3o
117b4o$45bo137bobo213b3o117b4o$45bo137bobo213b3o117b4o$45bo137bobo213b
3o117b4o$45bo137bobo213bobo117b4o$45bo137bobo213bobo117b4o9bo$45bo137b
obo213bobo117b4o9bo$45bo137bobo213bobo117b4o9bo$45bo137bobo213bobo117b
4o9bo$45bo137bobo161bo51bobo117b4o9bo$45bo137bobo161bo51bobo117b4o9bo$
45bo137bobo161bo51bobo117b4o9bo$45bo137bobo161b2o50bobo117b4o9bo$45bo
137bobo161b2o50bobo117b4o9bo$45bo137bobo161b2o50bobo117b4o9bo$45bo137b
obo161b2o50bobo117b4o9bo$45bo137bobo161b2o50bobo117b4o9bo$45bo137bobo
161b2o50bobo117b4o9bo$45bo137bobo161b2o50bobo117b4o9bo$45bo137bobo161b
2o50bobo117b4o9bo$45bo137bobo161b2o50bobo117b4o9bo$45bo137bobo161b2o
50bobo117b4o9bo$45bo137bobo161b2o50bobo117b4o8b2o$45bo137bobo161b2o50b
obo117b4o8b2o$45bo137bobo161b2o50bobo111bo5b4o8b2o$45bo137bobo161b2o
50bobo111bo5b4o8b2o$45bo137bobo161b2o50bobo111bo5b4o8b2o$45bo137bobo
161b2o50bobo111bo5b4o8b2o$45bo137bobo161b2o50bobo111bo5b4o8b2o$45bo
137bobo161b2o50bobo111bo3bob4o8b2o$45bo137bobo161b2o50bobo111bo3bob4o
8b2o$45bo137bobo161b2o50bobo111bo2b2ob4o8b2o$45bo137bobo84bo76b2o50bob
o111bo2b2ob4o8b2o$45bo137bobo84bo76b2o50bobo111bo2b2ob4o8b2o$45bo137bo
bo84bo76b2o50bobo111bo2b2ob4o8b2o$45bo137bobo84bo76b2o50bobo49bo37bo
23bo2b2ob4o8b2o$45bo137bobo84bo76b2o50bobo49bo37bo23bo2b2ob4o8b2o$45bo
137bobo84bo76b2o50bobo49bo37bo17bo5bo2b2ob4o8b2o$45bo137bobo84bo76b2o
50bobo49bo37b2o16bo5bo2b2ob4o8b2o$45bo137bobo84bo76b2o50bobo49bo37b2o
16bo5bo2b2ob4o8b2o7bo$45bo137bobo84bo76b2o50bobo49bo37b2o16bo5bo2b2ob
4o8b2o7bo$45bo137bobo84bo76b2o50bobo49bo37b2o16bo5bo2b2ob4o8b2o7bo$45b
o137bobo84bo76b2o50bobo49bo37b2o16bo5bo2b2ob4o8b2o7bo$45bo137bobo84bo
76b2o50bobo49bo37b2o16bo5bo2b2ob4o8b2o7b2o$45bo137bo2bo83bo76b2o50bobo
49bo37b2o16bo5bo2b2ob4o8b2o7b2o$45bo137bo2bo83bo76b2o50bobo49bo37b2o
16bo4b2o2b2ob4o8b2o7b2o$45bo137bo2bo83bo76b2o50bobo49bo37b2o16bo4b2o2b
2ob4o8b2o7b2o$45bo137bo2bo83bo76b2o50bobo49bo37b2o16bo4b2o2b2ob4o8b2o
7b2o$45bo137bo2bo83bo76b2o50bobo49bo37b2o16bo4b2o2b2ob4o8b2o7b2o$45bo
137bo2bo83bo76b2o50bobo49bo26bo10b2o16bo2bob2o2b2ob4o8b2o7b2o$45bo137b
o2bo83bo76b2o50bobo49bo26bo10b2o16bo2bob2o2b2ob4o8b2o7b2o$45bo137bo2bo
83bo76b2o50bobo49bo26bo10b2o16bo2bob2o2b2ob4o8b2o7b2o$45bo137bo2bo83bo
76b2o50bobo49bo26bo10b2o16bo2bob2o2b2ob4o8b2o7b2o$45bo137bo2bo83bo76b
2o50bobo49bo26bo10b2o16bo2bob2o2b2ob4o8b2o7b2o$45bo137bo2bo83bo76b2o
50bobo49bo26bo10b2o16bo2bob2o2b2ob4o8b2o7b2o$45bo137bo2bo83bo76b2o50bo
bo49bo26bo10b2o16bo2bob2o2b2ob4o8b2o7b2o$45bo137bo2bo83bo76b2o50bobo
49bo26bo10b2o16bo2bob3ob2ob4o8b2o7b2o$45bo136bo3bo83bo76b2o50bobo15bo
33bo26bo10b2o16b2obob3ob2ob4o8b2o7b2o$45bo136bo3bo83bo76b2o50bobo15bo
33bo26bo10b2o16b2obob3ob2ob4o8b2o7b2o$45bo136bo3bo83bo76b2o50bobo15bo
33bo26bo10b2o16b2obob3ob2ob4o8b2o7b2o$45bo136bo3bo83bo76b2o50bobo15bo
33bo26bo10b2o16b2obob3ob2ob4o8b2o7b2o$28b7o10bo136bo3bo83bo76b2o50bobo
15bo33bo26bo10b2o16b2obob3ob2ob4o8b2o7b2o$31bo13bo136bo3bo83bo76b2o50b
obo15bo33bo26bo10b2o16b4ob3ob2ob4o2bo5b2o7b2o$30bo14bo136bo3bo83bo76b
2o50bobo15bo33bo26bo10b2o16b4ob3ob2ob4o2bo5b2o7b2o$29bo15bo136bo3bo83b
o76b2o50bobo15bo33bo26bo10b2o16b4ob6ob4o2bo5b2o7b2o$28b7o10bo136bo3bo
83bo76b2o50bobo15bo33bo26bo10b2o16b4ob6ob4o2bo5b2o7b2o$45bo109bo26bo3b
o83bo76b2o50bobo15bo33bo14bo11bo10b2o16b4ob6ob4o2bo5b2o7b2o$29b5o11bo
109bo26bo3bo83bo76b2o50bobo15bo33bo14bo11bo10b2o16b11ob4o2bo5b2o7b2o$
28bo5bo10bo109bo26bo3bo83bo76b2o50bobo15bo33bo14bo11bo10b2o16b16o2bo5b
2o7b2o$28bo5bo10bo109bo26bo3bo83bo76b2o50bobo15bo33bo14bo11bo10b2o16b
6ob9o2bo5b2o7b2o$28bo5bo10bo109bo26bo3bo83bo76b2o50bobo15bo33bo14bo11b
o10b2o16b6ob9o2bo5b2o7b2o$29b5o11bo108b2o26bo3bo83bo76b2o50bobo15bo33b
o14bo11bo3bo6b2o16b6ob9o2bo5b2o7b2o$45bo108b2o26bo3bo83bo76b2o50bobo
15bo33bo14bo11bo2b2o6b2o16b6ob9o2bo5b2o7b2o$45bo108b2o26bo3bo83bo76b2o
50bobo15bo33bo14bo11bo2b2o6b2o16b6ob9o2bo5b2o7b2o$28bo5bo10bo108b2o26b
o3bo83bo76b2o50bob2o14bo33bo14bo11bo2b2o6b2o16b6ob9o2bo5b2o7b2o$28b7o
10bo108b2o26bo3bo83bo76b2o50bob2o4bo9bo33bo14bo10b2o2b2o6b2o16b3ob2ob
9o2bo5b2o7b2o$28bo5bo10bo106bob2o26bo3bo83bo76b2o50bob2o4bo9bo33b2o13b
o10b2o2b2o6b2o16b3ob2ob9o2bo5b2o7b2o$45bo106bob2o26bo3bo83bo76b2o50bo
2bo4bo9bo33b2o13bo10b2o2b2o6b2o16b3ob2ob9o2bo5b2o7b2o$45bo106bob2o26bo
3bo83bo76b2o50bo2bo4bo9bo25bo7b2o2bo10bo10b2o2b2o6b2o16b3ob2ob9o2bo5b
2o7b2o$28bo16bo106bob2o26bo3bo82b2o66bo9b2o50bo2bo4bo8b2o24b2o7b2o2bo
10bo10b2o2b2o6b2o16b3ob2ob9o2bo5b2o7b2o$28bo16bo106bob2o26bo3bo82b2o
66bo9b2o50bo2bo4bo8b2o24b2o7b2o2bo10bo10b2o2b2o6b2o16b3ob2ob9o2bo5b2o
7b2o$28b7o10bo106bob2o26bo3bo82b2o66bo9b2o50bo2bo4bo8b2o24b2o7b2o2bo
10bo10b2o2b2o6b2o12bo3b3ob2ob2ob6o2bo5b2o7b2o$28bo16bo106bob2o26bo3b2o
81b2o66bo9b2o50bo2bo4bo8b2o24b2o7b2o2bobo8bo10b2o2b2o6b2o12bo3b3ob2ob
2ob6ob2obo3b2o7b2o$28bo16bo106bob2o26bo4bo81b2o66bo9b2o50bo2bo4bo8b2o
19bo4b2o7b2o2bobo8bo10b2o2b2o6b2o12bo3b3ob2ob2ob6ob2obo3b2o7b2o$45bo
106bob2o26bo4bo81b2o66bo9b2o50bo2b2o3bo8b2o19bobo2b2o7b2o2bobo8bo10b2o
2b2o6b2o12b2o2b3ob2ob2ob6ob2obo3b2o7b2o$29b6o10bo105b2ob3o25bo4bo81b2o
66bo9b2o50bo2b2o3bo8b2o19bobo2b2o7b2o2bobo8bo10b2o2b2o6b2o11b3o2b3ob2o
b2ob6ob2obo2b4o6b2o$28bo2bo13bo105b2obobo25bo4bo81b2o66bo9b2o50bo2b2o
3bo8b2o19bobo2b2o7b2o2bobo8bo10b2o2b2o6b2o11b3o2b3ob2ob2ob6ob2obo2b2ob
o6b2o$28bo2bo13bo105b2obobo25bo4bo81b2o61bo4bo9b2o50bo2b2o3bo8b2o19bob
o2b2o7b2o2bobo7b2o10b2o2b2o6b2o2bo8b3o2b3ob2ob2ob6ob2obo2b2obo6b2o$28b
o2bo13bo105b2obobo25bo4bo81b2o61bo4bo9b2o50bo2b2o3b2o7b2o19b3o2b2o7b2o
2bobo7b2o10b2o2b2o6b2o2b2o7b3o2b3ob2ob2ob2ob3ob2obo2b2obo6b2o$29b6o10b
o105b2obobo25bo4bo81b2o61bo4bo9b2o50bo2b2o3b2o7b2o19b3o2b2o7b3obobo7b
2o9b3o2b2o6b2o2b2o7b3o2b3ob2ob2ob2ob3ob2obo2b2obo6b2o$45bo105b2obobo
25bo4bo81b2o61bo4bo9b2o50bo2b2o3b2o7b2o19b3o2b2o7b3obobo7b2o9b3o2b2o6b
2o2b2o7b3o2b3ob2ob2ob2ob3ob2obo2b2obo6b2o$34bo10bo105b2obobo25bo4bo81b
2o61bo4bo9b2o50bo2b2o3b2o7b2o19b3o2b2o7b3obobo7b2o9b3o2b2o6b3ob2o3bo3b
3o2b3ob2ob2ob2ob3ob2obo2b2obo6b2o$34bo10bo105b2obobo25bo4bo81b2o61bo4b
o9b2o50bo2b2o3b2o7b2o19b3o2b2o7b3obobo7b2o9b3o2b2o6b3ob2o3bo3b3o2b3ob
2ob2ob2ob3ob2obo2b2obo6b2o$34bo10bo105b2obobo25bo4bo81b2o61bo4bo9b2o
50bo2b2obob2o7b2o19b7o5bob3obobo7b2o9b3o2b2o6b3ob2o3bo3b3o2b3ob2ob2ob
2ob3ob2obo2b2obo6b2o$34bo10bo105b2obobo25bo4bo81b3o60bo2bobo9b2o50bo2b
2obob2o7b2o19b7o5bob3obobo7b2o9b3o2b2o6b3ob2o2b2o3b3o2b3ob2ob2ob2ob3ob
2obo2bo2bo6b2o$28b7o10bo105b2obobo25bo4bo81bobo60bo2bobo9b2o50bo2b2obo
b2o7b2o19b7o5bob3obobo7b2o9b3o2b3o5b3ob2o2b2o3b3o2b3obo2b2ob2ob3ob2obo
2bo2bo6b2o$45bo105b2obobo25bo4bo81bobo60bo2bobo3bo5b2o50bo2b2obob2o7b
2o19b7o5bob3obobo7b2o9b3o2b4o4b3ob2o2b2o3b3o2b3obo2b2ob2ob3ob2obo2bo2b
o6b2o$28b6o11bo105b2obobo25bo4bo81bobo60bo2bobo3bo5b2o50bo2b2obob2o7b
2o19b7o5bob3obobo7b2o9b2obob4o4b3ob2o2b2o3b3o2b3obo2b2ob2ob3ob2obo2bo
2bo6b2o$34bo10bo105b2obobo25bo4bo81bobo60b2obobo3bo5b2o49bo3b2obob2o7b
2o19b7o5bob3obobo7b2o9b2obob4o4b3ob2o2b2o3b3o2b3obo2b2ob2ob3ob2obo2bo
2bo6b2o$34bo10bo105b2obobo25bo4bo81bobo60b2obobo3bo5b2o49bo3b2obob2o7b
2o19b7o5bob3obobo7b2o9b2obob4o4b3ob2o2b2o3b3ob4obo2b2ob2ob3ob2obo2bo2b
o6b2o$34bo10bo105b2obobo25bo4bo81bobo60b2obobo3bo5b2o49bo3b2obob2o5bob
2o19b7o5bob3obobo7b2o9b2obob4o4b3ob2o2b2o3b3obob2obo2b2ob2ob2ob3obo2bo
2bo6b2o$28b6o11bo105b2obobo25bo4bo81bobo60b2obobo3bo5b2o49bo3b2obob2o
5bob2o19b7o5bobobobobo7b2o9b2obob4o4b3ob2o2b2o3b3obob2obo2b2ob2obo2b3o
bo2bo2bo6b2o$45bo105b2obobo25bo4bo81bobo60b2obobo3bo5b2o49bo3b2obob2o
5bob2o19b5obo5bobobobobo7b2o9b2obobob2o4b3ob2o2b2o3b3obob2obo2b2ob2obo
2b3obo2bo2bo6b2o$29b2o14bo105b2obobo25bo4bo81bobo60b2obobo3bo5b2o49bo
3b2obob2o5bob2o19b5obo5bobobobobo7b2o9b2obobob2o4b3ob2o2b2o3b3obob2o4b
2ob2obo2b3obo2bo2bo6b2o$28bo2bo13bo105b2obobo25bo4bo81bobo60b2obobo3bo
5b2o49bo3b2obob2o5bob2o19b5obo5b3obobobo7b2o9b2obobob2o4b3ob2o2b2o3b3o
bob2o4b2ob2obo2b3obo2bo2bo6b2o$28bo2bo13bo105b2obobo25bo4bo81bobo60b2o
bobo3bo5b2o49bo3b4ob2o5bob2o19b5obo5b2o2bob3o7b2o9b2obobob2o4b3ob2o2b
2o3b3obob2o4b2ob2obo2b3obo2bo2bo6b2o$28bo2bo13bo105b2obobo25bo4bo81bob
o60b2ob3o3bo5b2o49bo3b4ob2o5bob2o19b5obo5b2o2bob3o7b2o9b2obobob2o4b3ob
2o2b2o3b3obob2o4b2ob2o4b3obo2bo2bo6b2o$28b7o10bo105b2obobo25bo4bo81bob
2o59b2ob3obobo5b2o49bo3b4ob2o5bob2o19b5obo5b2o2bob3o7b2o9b2obobob2o4b
3ob2o2b2o3b3obob2o4b2ob2o4b3obo2bo2bo6b2o$45bo105b2obobo25bo4bo81bob2o
59b2ob3ob3o5b2o49bo3b4ob2o5bob2o19b5obo5b2o2bob3o7b2o9b2ob3ob2o4b3ob2o
2b2o3b3obob2o4b2ob2o4b3obo2bo2bo6b2o$29b5o11bo105b2obobo25bo4bo81bob2o
59b2ob3ob3o5b2o49bo3b4ob2o5bob2o19b5obo5b2o2bob3o7b2o9b2ob2o2b2o4b3ob
2o2b2o3b3obob2o4b2ob2o4b3obo2bo2bo6b2o$28bo5bo10bo105b2obobo25bo4bo80b
2ob2o59b6ob3o5b2o49bo3b4ob2o4b2ob2o19b5obo5b2o2bob3o7b2o9b2ob2o2b2o4b
3ob2o2b2o3b3obob2o4b2ob2o4b3obo2bo2bo6b2o$28bo5bo10bo105b2obobo25bo4bo
80b2ob2o59b6ob3o5b2o49bo3b7o4b2ob2o19b5obo5b2o2b5o2bo4b2o9b2ob2o2b2o4b
3ob2o2b2o3b3obobo5b2ob2o4b3obo2bo2bo2bo3b2o$28bo5bo10bo105b2obobo25bo
4bo80b2ob2o58b7ob3o5b2o49bo3b7o4b2ob2o8bo10b5obo5b2o2b2ob2o2bo4bobo8b
2ob2o2b2o4b3ob2o2b2o3b3obobo5b2ob2o4b3obo2bo2bo2b2o2b2o$29b5o11bo105bo
b2obo25bo4bo80b2ob2o58bob5ob3o5b2o49bo3b7o4b2ob2o8bo10b5obo5b2o2b2obob
obobo2bob2o7b2ob2o2b2o4b3ob2o2b2obob3obobo5b2ob2o4b3obo2bo2bob3o2b2o$
45bo105bob2obo25bo4bo80b2ob2o58bob5ob3o5b2o49bo3b7o4b2ob2o8bo10b5obo5b
2o2b2obobobobo2bob2o7bo2b2o2b2o4b3ob2o2b2obob3obobo5b2ob2o4b5o2bo2bob
3o2b2o$29b2o14bo105bob2obo25bo4bo16bo63b2ob3o57bob5ob3o5b2o49bo3b7o4b
2ob2o8bo10b5obo5b2o2b2obobobobo2bob2o7bo2b2o2b2o4b3ob3ob2obob3obobo5b
2ob2o4b5ob2o2bob3o2b2o$28bo2bo13bo105bob2obo25bo4bo16bo63b2ob3o57bob5o
b3o5b2o49bo3b7o4b2ob2o8bo10b5obo5b2o2b2obobobobo2bob2o4bo2bo2b2o2b2o4b
3ob3ob2obob3obobo5b2ob2o4b5ob2o2bob3o2b2o$28bo2bo13bo105bob2obo25bo4bo
16bo63b2ob3o57bob5ob3o5b2o49bo3b7o4b2ob2o8bo10b5obo5b2o2b2obobobobo2bo
b2o4bo2bo2b2o2b3obob3ob3ob2obob3obobo5b2o7b5ob2o2bob3o2b2o$28bo2bo13bo
105bob2obo25bo4bo16bo63b2ob3o57bob5ob3o5b2o49bo3b7o4b2ob2o8bobo8b3obob
o5b2o2b2obobobobo2bob2o4bo2bo2b2o2bobobob3ob3ob2obob3obobo5b2o7b5ob2o
2bob3o2b2o$28b7o10bo105bob2obo25bo4bo16bo63b2ob3o57bob5ob3o5b2o49bo3b
3ob3o3b3ob2o8bobo8b3obobo5b2o2b2obobobobo2bob2o4bo2bo2b2o2bob3ob3ob3ob
2obob3obobo5b2o7b5ob2o2bob3o2b2o$45bo105bob2obo25bo4bo16bo63b2ob3o57bo
b5ob3o5b2o49bo3b3ob3o3b3ob2o8bobo7b4obobo5b2o2b2obobobobo2bob2o4bo2bo
2b2o2bob3ob3ob3ob2obob3obobo5b2o7b5ob2o2bob3o2b2o$45bo105bob2obo25bo4b
o16bo63b2ob3o57bob5ob3o5b2o49bo3b3ob3o3b3ob2o8bobo7b4obobo5b2o2b2obobo
bobo2bob2o4bo2bo2b2o4b3ob3ob3ob2obob3obobo5b2o7b5ob2o2bob3o2b2o$45bo
105bob2obo25bo4bo16bo63b2ob3o57bob10o4b2o49bo3b3ob3o3b3ob2o8bobo7b4obo
bo5b2o2b2obobobobo2bob2o4bo2bo2b2o4b3ob3ob3ob2obob3obobo5b2o7b5ob2o2bo
b3o2b2o$45bo105bob2obo25bo4bo16bo63b2ob3o57bob2ob5obo4b2o49bo3b3ob3o3b
3ob2o8bobo7b4obobo5b2o2b2obob3obo2bob2o4bo2bo2b2o4b3ob3ob3ob2obob3obob
o6bo7b2ob2ob2o2bob3o2b2o$45bo105bob2obo25bo4bo16bo63b2ob3o57bob2ob5obo
4b2o49bo3b3ob3o3b3ob2o8bobo7b4obobo5b2o2b2obob3obo2bob2o4bo2bo2b2o4b3o
b3ob3ob2obob3obobo6bo7b2ob2ob2o2b5o2b2o$45bo105bob2obo25bo4bo16bo63b2o
b3o57bob2ob5obo4b2o49bo3b2o2b3o3b3ob2o8bobo7b4obobo4b3o2b2obob3obo2bob
2o3b2o2bo2b2o4b3ob10obob3obobo6bo7b2ob5o2b5o2b2o$45bo105bob2obo25bo4bo
16bo63b2ob3o17bo39bob2ob5ob2o3b2o49bo3b2o2b3o3b3ob2o8bobo7b4o3bo4b3o2b
2obob3obo2bob2o3b2o2bo2b2o4b3ob10ob5obobo6bo7bo2b5o2b5o2b2obo$45bo105b
ob2obo25bo4bo16bo60bo2b2ob3o17bo39bob2ob5ob2o3b2o49bo3b2o2b3o3b3ob2o8b
obo2bo4b4o3bo4b3o2b2obob3obob2ob2o3b2o2bo2b2o4b3ob10ob5obobo6bo7bo2b5o
2b5o2b2obo$45bo105bobo2bo25bo4bo16bo60bo2b2ob3o17bo39bob2ob5ob2o3b2o
49bo3b2o2b3o3b3ob2o8bobo2bo4b4o3bo2bobobo2b2obob3obob2ob2o3b2o2bo2b2o
4b3ob10ob5obo8bo7bo2b5o2b5o2b2obo$45bo105bobo2bo25bo4bo16bo60bo2b2ob3o
17bo39bo2bob5ob2o3b2o49bo3b2o2b3o3b3ob2o2bo4b2obo2bo4b4o3bo2bobobo2b2o
bob3obob2ob2o3b2o2bo2b2o4b3ob10ob7o8bo7bo2b5o2b5o2b2obo$45bo105bobo2bo
25bo4bo16bo60bo2b2ob3o7bo9bo39bo4b5ob2o3b2o48b2o3b2o2b3o3b3ob2o2bo4b2o
bo2bo4b4o3bo2bobobo2b2obob3obob2ob2o3b2o2bo3bo4b3ob10ob6o9bo7bo2b5o2b
5o2b2obo$45bo105bobo2bo25bo4bo16bo60bo2b2ob3o7bo9bo39bo4b5ob2o3b2o48b
2o3b2o2b3o3b3ob2o2bo4b2obo2bo4b4o3bo2bobobo2b2obob3obob2ob2o3b2o2bo3bo
4b3ob10ob6o9bo7bo2b5o2b5o2b2obo$45bo104b2obo2bo25bo4bo16bo60bo2bo2b3o
7bo9bo39bo4b3obob2o3b2o39b2o7bo4b2o2b3o3b3ob2o2bo4b2obo2bo4b4o3bo2bobo
bo2b2o3b3obob2ob2o3b2o2bo3bo4b3ob10ob6o9bo7bo2b5o2b5o2b2obo$45bo104b2o
bo2bo25bo4bo16bo60bo2bo2b3o7bo9bo39bo4b3obob2o3b2o39b2o7bo4b2o2b3o3b3o
b2o2bo4b2ob2obo4b4o3bo2bobobo2b2o3b3obob2ob2o3b2o2bo3bo4b3ob10ob6o9bo
7bo2b5o2b5o2b2obo$45bo104b2obo2bo16bo8bo4bo16bo60bo2bo2b3o7bo9bo39bo4b
3o3b2o3b2o39b2o7bo4b2o2b3o3b3ob2o2bo4b5obo4b4o4bobobobo2b2o3b3obob2ob
2o3b2o2bo3bo4b3ob8obob6o9bo7bo2b5o2b5o2b2obo$45bo104b2obo2bo16bo8bo4bo
16bo60bo2bo2b3o7bo8b2o39bo4b3o3b2o3b3o38b2o7bo4b2o2b3o3b3ob2o2bo4b5obo
4b4o4bob3obo2b2o3b3obob2ob2o3b2o2bo3bo4b3ob8obob6o9bo7bo2b5o2b5o2b2ob
2o$45bo104b2obo2bo16bo8bo4bo16bo60bo2bo2b3o7bo8b2o39bo5b2o3b2o3b3o27bo
10b2o7bo4b2o2b3o3b3ob2o2bo4b5obo4bob2o4bob3obo2b2o3b3obob2ob2o3b2o2bo
3bo4b12obob6o9bo10b5o2b5o2b2ob2o$45bo104b2obo2bo16bo8bo4bo16bo60bo2bo
2b3o7bo8b2o2bo36bo5b2o3b2o3b3o27bo10b2o7bo4b2o2b3o3b3ob2o2bo3b6obo4bob
2o4bob3obo2b2o3b3obob2ob2o3b2o2bo3bo4b6ob5obob6o9bo10b5o2b5o2b2ob2o$
45bo104b2obo2bo16bo8bo4bo16bo57bo2bo2bo2b3o7bo8b2o2bo36bo5b2o3b2o3b3o
27bo10b2o7bo4bo3b3o3b3ob2o2bo3b6obo4bob2o4bob3obo2b2o3bob3ob2ob2o3b2o
2bo3bo4b4o3b5obob6o9bo10b5o2b5o2b2ob2o$45bo104bo2bo2bo11bo4bo8bo4bo16b
o52bo4bo2bo2bo2b3o7bo8b2o2bo36bo5b2o3b2o3b3o27bo10b2o3bo3bo4bo3b3o3bob
ob2o2bo3b6obo4bob2o4bob3obo2b2o3bob3ob2ob2o3b3obo3bo4b4o3b5obob6o9bo
10b5o2b5o2b2ob2o$45bo104bo2bo2bo11bo4bo8bo4bo16bo52bo4bo2bo2bo2b3o7bo
8b2o2bo36bo5b2o3b2o3b3o27bo10b2o3bo3bo4bo3b3o3bobob2o2bo3b6obo4bob2o4b
ob3obo2b2o3bob3obo2b2o3b3obo3bo4b4o3b5obob6o9bo10b4o3b5o2b2ob2o$45bo
104bo5bo11bo4bo8bo4bo16bo52bo4bo2bo2bo2b3o7bo8b2o2bo36bo5b2o3b2o3b3o5b
o21bo10b2o3bo3bo4bo3b3o2b2obob2o2bo2b7obo4bob2o4bob3obo2b2o3bob3obo2b
2o3b3obo8b4o3b5obob6o9bo10b4o3b5o2b2ob3o$45bo104bo5bo11bo4bo8bo4bo16bo
52bo4bo2bo2bo2b3o7bo8b2o2bo36bo5b2o3b2o3b3o5bo21bo10b2o3bo3bo4bo3b3o2b
2obob2o2bo2b7obo4bob2o4bob3obo2b2o3bob3obo2b2o3b3obo8b4o3b5obob6o20b4o
3b5o2b5o$45bo104bo5bo11bo4bo8bo4bo16bo52bo2bobo2bo2bo2b3o7bo8b2o2bo36b
o5b2o3b2o3b3o5bo21bo6bo3b2o3bo3bo4bo3b3o2b2obob2o2bo2b7obo4bob2o4bob3o
bo2b2o3bob3obo2b2o3bobobo8b4o3b5ob8o21b3o3b5o2b5o$45bo104bo5bo10b2o4bo
8bo4bo16b2o50b2ob2obo2bo2bo2b3o7bo8b2o2bo36bo5b2o3b2o3b3o5bo21bo6bo3b
2o3bo3bo4bo3b3o2b2obob2o2bo2b3ob3obo4bob2o4bob3obo2b2o3bob3obo2b2o3bob
obo8b4o3b5ob8o21b3o3b5o2b5o$45bo104bo5bo10b2o4bo8bo4bo16b2o50b2ob2obo
2bo2bo2bobo7bo8b2o2bo36bo5b2o3b2o3b3o5bo21bo6bo3b2o3bo3bo8b3o2b2obob2o
2bo2b3ob3obo4bob2o4b5obo2b2o3bob3obo2b2o3bobobo8b4o3b5ob8o21b3o3b5o2b
5o$45bo104bo5bo10b2o4bo7b2o4bo16b2o50b2ob2obo2b2obo2bobo7bo8b2o2bo36bo
5b2o3b2o3b3o5bo21bo6bo3b2o3bo3bo8b3o2b2obob2o2bo2b3ob3obo4bo7b5obo2b2o
3bo2b2obo2b2o3bobobo8b4o3b5ob8o21b3o3b5o2b5o$45bo104bo5bo10b2o4bo7b2o
4bo16b2o50b2ob2obo2b2obo2bobo7bo8b2o2bo34bobo5b2o3b2o3b3o5bo21bo6bo3b
2o3bo3bo8b3o2b2obob2o2bo2b3ob3obo4bo7b5obo2b2o3bo2b2obo2b2o3bobobo8b4o
3b5ob8o21b2o4b2ob2o2b5o$45bo104bo5bo10b2o4bo7b2o4bo16b2o41bo8b2ob2obo
2b2obo2bobo7bo8b2o2bo34bobo5b2o3b2o3b3o5bo21bo6bo3b2o3bo3bo8b3o2b2obob
2o2bo2b3ob5o4bo7b5obo2b2o3bo2b4o2b2o3bob3o8b4o3b5ob8o21b2o4b2ob2o2b5o$
45bo104bo5bo10b2o4bo7b2o4bo16b2o41bo8b2ob2obo2b2obo2bobo7bo8b2o2bo34bo
bo5b2o3b2o3b3o5bo21bo6bo3b2o3bo3bo8b3o2b2obob2o2bo2b3ob5o4bo7b5obo2b2o
3bo2b4o2b2o3bob3o8b4o3b5ob8o21b2o4b2ob2o2b5o$45bo104bo5bo10b2o4bo7b2o
4bo16b2o41bo8b2ob2obo2b2obo2bobo7bo8b2o2bo14bo19bobo5b2o3b2o3b3o5bo21b
o6bo3b2o3bo3bo8b3o2b2obob2o2bo2b3ob5o4bo7b5obo2b2o3bo2b4o2b2o3bob3o8b
4o4b4ob8o21b2o4b2ob2o2b5o$45bo104bo5bo10b2o4bo7b2o4bo5bo10b2o41bo8b2ob
2obo2b2obo2bobo7bo8b2o2bo3bo10bo19b3o5b2o3b2o3b3o5bo21bo6bo3b2o2b2o3bo
8b3o2b2obob2o2bo2b2o2b5o4bo7b2ob2obo2b2o3bo2b4o2b2o3bob3o8b4o6b2ob8o
21b2o4bo2b2o2b5o$45bo104bo5bo10b2o4bo7b2o4bo5bo10b2o41bo5bo2b2ob2obo2b
2obo4bo7bo8b2o2bo3bo10bo19b3o5b2o3b2o3b3o5bo21bo6b2o2b2o2b2o3bo8b3o2b
2obob2o2bo2b2o2b5o4bo7b2ob2obo2b2o6b3o3b2o3bob3o8b4o6b2ob5ob2o21b2o4bo
3bo2b5o$45bo104bo5bo10b2o4bo7b2o4bo5bo10b2o41bo5b2ob2ob2obo2b2obo4bo7b
o8b2o2bo3bo10bo19b3o5b2o3b2o3b3o5bo21bo6b2o2b2o2b2o3bo8b2obob2obob2o2b
o2b2o2b5o4bo7b2ob2obo2b2o6b3o3b2o3bob3o8b4o6b2ob5ob2o21b2o4bo3bo2b5o$
45bo104bo5bo10b2o4bo7b2o4bo5bo10b2o41bo5b2ob2ob2obo2b2obo4bo7bo8b2o2bo
3bo10bo19b3o5b2o3b2o2bob2o5bo21bo6b2o2b2o2b2o3bo8b2obob2obob2o2bo2b2o
2b5o4bo7b2ob2o4b2o6b3o3b2o3bob3o8b4o6b2ob4o2b2o21b2o4bo3bo2b5o$45bo
104bo5bo10b2o4bo7b2o4bo5b2o9b2o33bo7bo5b2ob2ob2obo2b2obo4bo7bo8b2o2bo
3bo10bo19b3o5b2o3b2o2bob2o5bo21bo6b2o2b2o2b2o3bo8b2obob2obob2o2bo2b2o
2b5o4bo7b2ob2o4b2o6b3o3b2o3bob3o8bob2o6b2o2b3o2b2o21b2o4bo3bo2b5o$45bo
104bo5bo10b2o4bo7b2o4bo5b3o8b2o2bo30bo7bo5b2ob2ob2obo2b2obo4bo7bo8b2o
2bo3bo10bo19b3o5b2o3b2ob2ob2o5b2o20bo2bo3b3ob2o2b2o3bo8b2obobo2bob2o2b
o2b2o2b5o3b2o7b2ob2o4b2o6b3o3b2o3bob3o8bob2o6b2o2b3o2b2o21b2o4bo3bo2b
5o$45bo104bo5bo10b2o4bo7b2o4bo5b3o8b2o2bo30bo7bo5b2ob2ob2obo2b4o4bo7bo
8b2o2bo3bo7bo2b2o18b3o5b2o3b2ob2ob2o5b2o20bo2bo3b3ob2o2b2o3bo8b2obobo
2bob2ob2o2b2o2b5o3b2o7b2ob2o4b2o6b3o3b2o3bob3o8bob2o6b2o2b3o2b2o21b2o
4bo3bo2b5o$45bo104bo5bobo8b2o4bo7b2o4bo5b3o8b2o2bo30bo7bo5b2ob2ob2obo
2b4o4bo7bo8b2o2bo3bo7bob3o18b3o5b2o3b2ob2o2bo5b2o20bo2bo3b3ob2o2b2o3bo
11bobo2bob2ob2o2b2o2b5o3b2o7b2ob2o4b2o6b3o3b2o3bob3o8bob2o6b2o2b3o2b2o
21b2o4bo3bo2b4o$45bo104bo5bobo8b2o4b2o6b2o4bo5b3o8b2ob2o30bo7bo5b2ob2o
b2obo2b4o4bo7bobo6b2o2bo3bo7bob3o18b3o5b2o4bob2o2bo5b2o20bo2bo3b3ob2o
2b2o3bo11bobo2bob2ob2o2bo3b5o2b3o7b2ob2o4b2o6b3o3b2o3bob3o8bob2o6b2o2b
3o2b2o21b2o4bo3bob5o$45bo104bo5bobo8b2o4b2o6bo5bo5b3o8b2ob2o30bo7bo5b
2ob2ob2obo2b4o4bo7bobo6b2o2bo3bo7bob3o5bo12b3o5b2o4bob2o2bo5b2o20bo2bo
3b3ob2o2b2o3bo11bobo2b4ob2o2bo3b5o2b3o7b2ob2o4b2o6b3o4bo2b2ob3o8bob2o
6b2o2b3o2b2o21b2o4bo3bobob3o$45bo104bo5bobo8b2o3b3o6bo5bo5b3o8b2ob2o
30bo7bo5b2ob2ob2obo2b4o4bo6b4o6b2o2bo3bo7bob3o5bo12b3o5b2o4bob2o2bo5b
2o20bo2bo3b3ob2o2b2o3bo11bobo2b4ob2o2bo3b5ob4o7b2ob2o4b2o6b3o4b2ob2ob
3o8bob2o6b2o2b3o2b2o21b2o4bo3bobob3o$45bo104bo5bobo8b2o3b3o6bo5bo5b3o
7b3ob2o30bo7bo5b2ob2ob2obo2b4o4bo6bob2o6b2o2bo3bo7bob3o5bo12b3o5b2o4bo
b2o2bo5b2o20bo2bo3b3ob2o2b2o3bo11bobo2b4ob3obo3b5ob4o7b2ob2o4b2o6b3o4b
5ob3o8bob2o6b2o2b3o2b2o21b2o4bo3bobob3o$45bo104bo5bobo8b2o3b3o6bo5bo5b
3o7bobob2o30bo7bo5b5ob4o2b4o4bo6bob2o6b2o2bobobo7bob4o4bo12b3o5b2o4b4o
2bo5b2o20bo2bo3b3ob2o2b2o3bo11bobo2b4ob3obo3b5ob4o7b2ob2o4b2o6b3o4b5ob
3o8bob2o6b2o2b3o2b2o21b2o4bo3bobob3o$45bo104bo5bobo8b3o2bobo6bo5bo5b3o
7bobob2o30bo7bo5b5ob4o2b4o4bo6bob2o6b2o2bobobo7bob4o4bo12b3o5b2o4b4o2b
o5b2o20bo2bo3b3ob2o2b2o3bo11bobo2b4ob3obo3b5ob4o7b2ob2o4b2o6b3o4b5ob3o
8bob2o6b2o2b3o2b2o22bo4bo3bobob3o$45bo104bo5bobo8b3o2bobo6bo5bo5b3o7bo
bob2o30bo7bo5b5ob4o2b4o4bo6bob2o6b2o2bobobo7bob4o4bo12b3o5b2o4b4o2bo5b
2o20b2obo3b3ob2o2b2o3bo11bobo2b4ob3obo3bob3ob4o7b2ob2o4b2o6b3o4b5ob3o
8bob2o6b2o2bobo2b2o22bo4bo3bobob3o$45bo104bo5bobo8b3o2bobo6bo5bo5b3o7b
obob2o30bo7bo5b5ob4o2b4o4bo6bob2o6b2o2bobob2o5b2ob4o4bo9bo2b3o5b2o4b4o
2bo5b2o20b4o3b3ob2o2b2o3bo11bobo2b4ob3obo3bob3ob3o8b2ob2o4b2o6b3o4b5ob
3o8bo9b2o2bobo2b2o22bo8bobob3o$45bo104bo5b3o8b3o2bobo6bo5bo5bobo7bobob
2o30bo7bo5b5ob4o2b4o4bo6bob2o6b2o2bobob2o5b2ob4o3b2o9bo2b3o6bo4b4o2bo
5b2o20b4o3b3ob2o2b2o3bo11b3o2b4ob3obo3bob3ob3o8b2ob2o4b2o6b3o4b5o2b2o
8bo9b2o2bobo2b2o22bo8bobob3o$45bo96bo7bo5b3o8b3o2bobo6bo5bo5bobo7bobob
2o30bo7bo5b5ob5ob3o5bo6bob2o6b2o2bobob2o5b2ob4o3b2o9b2ob3o6bo4b4o2bo5b
2o19b5o3b3ob2o2b2o3bo11b2o3b8obo3bob3ob3o8b2ob2o4b2o6b3o4b4o3b2o8bo9b
2o2bobo2b2o22bo8bobob3o$45bo96bo7bo5b3o8b3o2bobo6bo5bo5bobo7bobob2o30b
o7bo5b5ob3obob3o5bo6bob2o6b2o2bobob2o5b2ob5o2b2o9b2ob3o6bo4b4o2bo3bob
2o15b2o2b5o3b3ob2o2b2o3bo11b2o3b8obo3bob3ob3o8b2ob2o4b2o6b3o4b4o3b2o8b
o9b2o2bobo2b2o22bo8bobo2b2o$45bo96bo7bo5b3o8b3o2bobo6bo5bo5bobo7bobob
2o30bo7b2o4b5ob3obob3o5bo6bob2o5b3o2bobob2o5b2ob5o2b2o9b2ob3o6bo4b4o2b
o3bob2o15b2o2bob3o3b3ob2o2b2o2b2o11b2o3b8obo3bob3ob3o8b2ob2o4b2o6b3o4b
4o3bo9bo9b2o2bobo3bo22bo8bobo2bo$45bo96bo7bo5b3o8b3o2bobo6bo5bo5bobo7b
obob2o30bo7b2o4b5ob3obob3o5bo6bob2o5b3o2bobob2o5b2ob5o2b2o9b2ob3o6bo4b
4o2bo3bob2o15b2o2bob3o3b3ob2o2b2o2b2o11b2o3b8obo3bob3ob3o8b2ob2o4b2o6b
3o4b4o3bo9bo9b2o2bobo26bo8bobo2bo$45bo96bo7bo5b3o8b3o2bobo6bo5bo5bobo
7bobob2o30bo7b2o4b5ob3obob3o5bo6bob2o5bobo2bobob2o5b2ob5o2b2o9b2ob3o
11b4o2bo3bob2o10bo4b2o2bob3o3b3ob2o2b2o2b2o11b2o3b8obo3bob3obo11bob2o
4b2o6b3o4b4o3bo9bo9b2o2bobo35bobo2bo$45bo96bo7bo5b3o3bo4b3o2bobo6bo5bo
5bob2o6bobob2o30bo7b2o4b5ob3obob3o5bobo4bob2o5bobo2bobob2o5b2ob5o2b2o
9b2ob3o11b4o2bo3bob2o10b2o3b2o2bob3o3b3ob2o2b2o2b2o11b2o3b8obo5b3obo
11bob2o4b2o6bobo4b4o3bo9bo9bo3bobo35bobo2bo$45bo96bo7bo5b3o3bo4b3o2bob
2o5bo5bo5bob2o6bobob2o30bo7b2o4b5ob3obob3o5bobo4bob2o5bobo2bobob2o5b2o
b5o2b2o9b2ob3o11b4o2bo3bob2o10b2o3b2o2bob3o3b3ob2o2b2o2b2o11b2o4b7obo
5b3obo11bob2o4b2o6bo6b4o3bo19bo3bobo35bobo2bo$45bo96bo7bo5b3o3bo4b3o2b
ob3o4bo5bo5bob2o6bobob2o30bo7b2o4b5ob3obob3o5bobo4bob2o5bobo2bobob2o2b
o2b2ob5o2b2o9b2ob3o11b4o2bo3bob2o10b2o3b2o2bob3o3b3ob2o2b2ob3o11b2o4b
7obo5b3obo11bob2o4b2o6bo6b4o3bo19bo3bobo35bobo2bo$45bo96bo7bo5b3o3bo4b
3o2bob3o4bo5bo5bob2o6bobob2o30b2o6b2o4b5ob3obob3o5bobo4bob2o5bobo2bobo
b2ob2o2b2ob5o2b2o9b2ob3o11b4o2bo3bob2o10b2o3b2o2bob4o2b3ob2o2b2ob3o11b
2o4b7obo5b3obo11bob2o4b2o6bo6b3o4bo19bo3bobo35bobo$45bo96b2o6bo5b3o3bo
4b3ob2ob3o4bo5bo3bobob2o6bobob2o30b2o6b2o4b5ob3obob3o5bobo4bob2o5bobo
2bobob2ob2o2b2obob3o2b2o9b6o11b4o2bo3bobobo9b2o3b2o2bob4o2b3ob2o2b2ob
3o11b2o4b7obo5b3obo11bob2o4b2o6bo6b3o4bo19bo5bo35bobo$45bo96b2o6bo5b3o
3bo4b3obo2b3o4bo5bo3bobob2o6bobob2o30b2o6b2o4b5ob3obob3o5bobo4bob2o5bo
bo2bobob2ob2o2b2obob3o2b2o9b6o11b4o2bo3bobobo9b2o3b2o2bob5ob3ob2o2bob
4o11b2o4b5obobo5b3obo11bob2o4b2o6bo6bobo4bo19bo5bo35bobo$45bo96b2o6bo
5b3o3bo4b3obo2b3o4bo5bo3bobob2o6bobob2o30b2o6b2o4b9obob3o5bobo4bob2o5b
obo2bob4ob2o2b2obob3o2b2o9b6o11b4o2bo2b2obobo9b2o3b2o2bob5ob3ob2o2bob
3o12b2o4bob3obobo5bob3o11bob2o4b2o6bo8bo4bo19bo5bo35bobo$45bo71bo24b2o
6bo5b3o3b2o3b3obo2b3o4bo5bo3bobob2o6bobob2o30b2o5bobo4b9obob3o5bobo4bo
b2o5bobo2bob4ob2o2b2obob3o2b2o9b6o11b4o2bo2b4obo9b2o3b2o2bob5ob6o2bob
3o12b2o4bo2b2obobo5bob3o11bob2o4b2o6bo8bo4bo19bo5bo35bobo$45bo71bo24b
2o6bo5b3o3b2o3b3obo2b3o4bo5bo3bobob2o6bobob2o30b2o5bobo4b9obob3o5bobo
4bob2o5bobo2bob4ob2o2b2obob3o2b2o6bo2b6o11b4o2bo2b4obo9b2o3b2o2bob5ob
6o2bob3o12b2o7b2obobo5bob3o11bob2o4bo7bo8bo4bo19bo5bo35bobo$45bo71bo
24b2o6bo5b3o3b2o3b3obo2b3o4bo5bo3bobob2o6bobob2o30b2o5bobo4b9obob3o5bo
bo4bob2o5bobo2bob4ob2o2b2obob3o2b2o6bo2b6o11b4o2bo2b3o2bo9b2o3b2o2bob
5ob6o2bob3o12b2o7b2obobo5bob3o11bob2o4bo7bo8bo4bo25bo35bobo$45bo71bo
24b2o6bo5b3o3b2o3bobobo2b3o4bo5bo3bobob2o6bobob2o30b2o5bobo4b9obob3o5b
3o4bob2o5bob2obob4ob2o2b2obob3o2b2o6bo2b6o11b4o2bo2b3o2bo9b2o2b3o2bob
5ob6o2bob3o12bo8b2obobo5bob3o11bob2o4bo16bo4bo25bo35bobo$45bo71bo24b2o
6bo5b3o3b2o3bobobo3b2o4bo5bo3bobob2o6bobob2o30b2o5bobo4b9obob3o5b3o4bo
b2o5bo2bobob4ob2o2b2obob3o2b2o6bo2b6o11b4o2bo2b3o2bo9b2o2b3o2bob5ob6o
2bob3o12bo8b2obobo5bob3o11bob2o4bo16bo30bo35bobo$45bo71bo24b2o6bo5b3o
2b3o3bobobo3b3o3bo5bo3bobob2o6bobob2o30b2o5bobo4b9obob3o5b3o4bob2o5bo
2bobob2obob2o2b2obob3o2b2o6bo2b6o11b4o2b2ob3o2bo9b2o2b3o2bob5ob6o2bob
3o12bo8b2obobo5bob3o11bob2o4bo16bo30bo35bobo$45bo71bo24b2o6bo5b3o2b3o
3bobobo3b3o2b2o5bo3bobob2o6bobob2o3b2o25b2o5bobo4b9obob3o5b3o4bob2o5bo
2bobob2obob2o2b2obob3o2b2o6bo2b6o11b4o2b2ob3o2bo9b2o2b3o2bob5ob6o2bob
3o12bo9bobobo5bob3o11bob2o4bo16bo66bobo$45bo71bo24b2o6bo5b3o2b3o3bobob
o3b4obo6b2o2bobob2o6bobob2o3b2o24b3o5bobo4b9obob3o5b3o4bob2o5bo2bobob
2obob2o2b2obob3o2b2o6bo2b6o11b4o2b2ob3o2bo9b2o2b3o2bob5ob6o2bob3o12bo
9bob3o5bob3o13b2o4bo16bo66b3o$45bo71bo23b3o6bo5b3o2b3o3bobobo3b4obo6b
2o2bobob2o6bobob2o3b2o24b3o5bobo4b9obob3o5b3o4bob2o5bo2bobob2obob2o2b
2obob3o2bobo5bo2b6o11b4o2b2ob3o2bo9b2o2b3o2bob5ob6o2bob3o12bo9bob3o5bo
b3o13b2o4bo16bo67b2o$45bo71bo23bobo6bo5b3o2b3o3bobobo3b4obo6b2o2bobob
2o6bob4o3b2o24b3o5bobo4b9obob3o5b3o4bob2o5bo2bobob2obob3ob2obob3o2bobo
5bo2b3ob2o11b4o2b2obo4bo9b2o2b4obob12o2bob3o22bob3o5bob3o13b2o4bo16bo
67b2o$45bo71bo23bobo2bo3bo5b3o2b3o3bobobo3b4obo6b2o2bobob2o6bob4o3b2o
24b3o5bobo4b9obob3o5b3o4bob2o5bo2bobob2obob3ob2obob3o2bobo5bo2b3ob2o
11b4o2b2obo4bo9b2o2b4obob2ob9o2bob3o22bob3o8b2o13b2o4bo16bo67b2o$45bo
71bo23bobo2bo3bo5b3o2b3o3bobobo3b4obo6b2o2bobob2o6bob4o3b2o24b3o5bobo
4b9obob3o5b3o4bob2o5bo2bobob2obob3ob2obob3o2bobo5bo2b3ob2o11b4o2b2obo
4bo9b2o2b4obob2ob9o2bob2o23bob3o8b2o13b2o4bo84b2o$45bo71bo23bobo2bo3bo
5b3o2b3o3bobobo3b4obo6b2o2bobob2o6bob4o3b2o24b3o5bobo4b9obob3o5b3o4bob
2o5bo2b3ob2obob3ob2obob3o2bobo5bo2b3ob2o11b4o2b2obo4bo9b2o2b4obob2ob
10obob2o23bob3o8b2o13bo90b2o$45bo71bo23bobo2bo3bo5b3o2b3o3bobobo3b4obo
6b2o2bobob2o6bob4o3b2o24b3o5bobo4b7obobob3o5b3o4bob2o5bo2b3ob2obob3ob
4ob3o2bobo5bo2b3ob2o11b4o3bobo4bo8b3o2b4obob2ob10obob2o25b3o8b2o13bo
90b2o$45bo71bo23bobo2bo3bo5b3o2b3o3bobobo3b4obo6b2o2bobob2o6bob4o3b2o
24b3o5bobo4b7obobob3o5b3o4bo2bo5bo2b3ob2obob5ob2ob3o2bobo5bo2b3ob2o11b
2obo3bobo4bo8b3o2b4obob2ob10obob2o26b2o8b2o13bo90b2o$45bo71bo23bobo2bo
3bo5b3o2bobo3bobobo3b4obo6b2ob2obob2o6bob4o3b2o24b3o5bobo4b7obobob3o5b
3o4bo2bo5bo2b3ob2obob5ob2ob3o2bobo5bo2b3obo12b2obo3bobo4bobo6b3o2b4obo
b2ob10obob2o26b2o8b2o13bo90b2o$45bo71bo23bobo2bo3bo5b3o2bobo3bobobo3b
4obo6b2ob2obob2o6bob4o3b2o24b3o5bobo4b6o2bobob3o5b3o4bo2bo5bo2b3ob2ob
6o2b2ob3o2bobo5bo2b3obo12b2obo3bobo4bobo6b3o2b4obob2ob10obob2o26b2o8bo
105bo$45bo71bo23bobo2bo3bo5b3o2bobo3bobobo3b4obo6b2ob2obob2o6bob4o3b2o
24b3o5bobo4b6o2bobob3o5b4o3bo2bo5bo2b3obo2b3ob2o2b2obobo2bobo5bob4obo
12b2obo3bobo4bobo6b3o2b4obob2ob10obo2bo26b2o8bo105bo$45bo71bo23bobo2bo
3bo5b3o2bobo3bobobo3b4obo6b2ob3o2b2o6bob4o3b2o24b3o5bobo4b2ob3o2bobob
3o5b4o3bo2bo5bo2b3obo2b3ob2o2b2obobo2bobo5b6obo12b2obo3bobo4bobo5b4ob
5obob2ob10obo2bo26b2o114bo$45bo71bo23bobo2bo3bo5b3o2bobo3bobobo3b4obo
6b6o2b2o6bob4o3b3o23b3o5bobo4b2ob3o2bobob3o5b2obo3bo2bo5bo2b3obo2b2o2b
2o2b2obobo2bobo5b6obo12b2obo3bobo4b3o5b4ob5obob2ob10obo2bo26b2o114bo$
45bo71bo23bobo2bo3bo5b3o2bobo3bobobo3b6o6b6o2b2o6bob4o3b3o23b3o5bobo4b
2ob3o2bobob3o5b2obo3bo2bo5bo2b3obo3bo2b2o2b2obobo2bobo5b6obo12b2obo3bo
bo4b3o5b4ob5obob2o3b8obo2bo26b2o114bo$45bo71bo23bobo2bobobo5b3o2bobo3b
obobo3b6o6b6o2b2o6bob4o3b3o23bobo5bobo4b2ob3o2bobob3o5b2obobobo2bo5bo
2b3obo3bo2b2o2b2obobo2bobo4b7obo12b2obo3bobo4b4o3b5ob7ob2o3b5ob2obo2bo
26b2o114bo$45bo71bo23bobo2bobobo5b3o2bobo3bobobo3b6o6b6o2b2o6bob4o3b3o
23bobo5bobo4b2ob3o2bobob3o5b2obobobo2bo5bo2b3obo3bo2b2o2b2obob2obobo4b
7obo12b2obo3bobo4b4o3b5ob7ob2o3b5ob2obo2bo26b2o114bo$45bo71bo23bobob2o
bobo5b3o2bobo3bobobo3b6o6b6o2b3o5bob4o3b3o23bobo5bobo4b2ob3o2bobob3o5b
2ob3obo2bo5bo2b3obo3bo2b2o2bo2bo2bobobo4b7obo12b2obo3bobo5b3o3b5ob3ob
3ob2o3b2o2bob3o3bo26b2o114bo$45bo71bo23bobob2obobo5b3o2bobo3bobobo3b6o
6b6o2b3o5bob5o2b4o22bobo5bobobo2b2ob3o2bobob3o5b2ob3obo2bo5bo2b5o3bo2b
2o2bo2bo2bobobo4b4ob2obo12b2o5b3o5b3o3b5ob3ob3ob2o3b2o2bob3o3bo26b2o
114bo$45bo71bo23bobob2obobo5b3o2bobo3bobobo3b6o6b6o2b3o5bob2ob2o2b4o
21b2obo5bobobo2b2ob3o2bobob3o5b2ob3obo2bo5bo2b5o3bo2b2o2bo2bo2bobobobo
2b4ob2obo13bo5b3o5b3o3b5ob3ob3ob2o3b2o2bob3o3bo26b2o114bo$45bo71bo23bo
b4obobo5b3o2bobo3bobobo3b6o6b6o2b3o5bob2ob2o2b4o21b2obo5bobob2ob2ob3o
2bobob3o5b2ob3obo2bo5bo2b5o3bo2b2o2bo2bo2bobobobo2b4ob2obo19b3o5b3o3b
9ob3o2bo3b2o2bob3o3bo26bo115bo$45bo71bo23bob4obobo7bo2bobo3bobobo3b6o
6b6o2b3o5bob2ob3ob4o21b2obo5bobob2ob2ob3o2bobob3o5b2ob3obo2bo5bo2b5o3b
o2b2o2bo2bo2bobobobo2b4ob2obo19b3o5b3o3b9ob3o2bo3b2o2bob3o3bo142bo$45b
o71b2o22bob4obobo7bo2bobo3bobobo3b6o6b6o2b3o5bob2ob3ob4o21b2obo5bobob
5ob3o2bobobobo5b2ob3obo2bobo3bo2b5o3bo2b2o2bo2bo2bobobobo2b4ob2obo19b
3o5b3o3b9ob3o2bo3b2o4b3o3bo142bo$45bo71b2o22bob4obobo7bo2bobo3bobobo3b
6o6b6o2b3o5bob2ob3ob4o21b2obo5bobob3obob3o2bobobobo5b2ob3obo2bobo3bo2b
5o3bo3bo2bo2bo2b3obobob5ob2obo19b3o5b3o3b8o2b3o2bo3b2o4b3o3bo142bo$45b
o71b2o22bob4obobo7bo2bobo3bob2o4b6o6b6o2b3o5bob2o2b2ob4o21bo2bo5bobob
3obob3o2bobobo7b2ob3obo2bobo3bo2b5o3bo3bo2bo5b2o2bobob5ob2obo19b3o5b3o
3b8o2b3o2bo3b2o4b3o3bo142bo$45bo71b2o7bo14bob4obobo7bo2bobo3bob2o4b6o
7b5o2b3o5bob2o2b2ob4o21bo2bo5bobob3obob3o2bobobo7b2ob3obo2bobo3bo2b4o
4bo3bo2bo5b2o2bobob5ob2obo19b3o5b3o3b7o3b2o3bo3b2o4b3o3bo142bo$45bo71b
2o7bo14bob4ob3o7bo2bobo3bob2o4b6o7b5o2b3o5bob2o2b7obo19bo2bo5bobob3obo
b3o2bobobo7b2ob3obo2bobo3bo2b2obo8bo2bo5b2o2bob7ob2obo19b3o5b3o3b7o3b
2o3bo3b2o4b3o3bo142bo$45bo71b2o7bo9bo4bob7o8bo2bobo3bob2o4b6o7b5o2b3o
5bob2o2b7obo19bo2bo5bobob3obob3o2bobobo7b2ob3obo2bobo3bo2b2obo8bo2bo5b
2o2bob7ob2obo19b3o5b3o3b7o3b2o3bo3b2o4b3o3bo142bo$45bo71b2o7bo9bo4bob
7o8bo2bobo3bob2o4b6o7b3obo2b3o5bob2o2b7obo19bo2bo5bobob3o3b3o2bobobo7b
2ob3obo2bobo3bo2b2obo8bo2bo5b2o2bob7ob2o21b3o5bobo2b8o3b2o3bo3b2o5b2o
3bo$45bo71b2o7bo9bo4bob7o8bo2bobo3bob2o4b6o7b3obo2b3o5bob2o2b7obo19bo
2bo5bobob3o3b3o2bobobo8bob3obo2bobo3bo2b2obo8bo2bo5b2o2bob7ob2o21b3o5b
obo2b8o4bo3bo3bo7bo$45bo71b2o7bo9bo4bob7o8bo2bobo3bob2o4b6o7b3obo2bobo
5bob2o2b7obo19bo2bo5bobob3o3b3o2bobobo8bob3obo2bobo3bo2b2obo8bo2bo5b2o
2b9ob2o21b3o5bobo2b8o4bo3bo3bo7bo$45bo71b2o7bo9bo3b2ob7o8bo2bobo3bob2o
4b6o7b3obo2bobo5bob2o2b3ob3obo19bo2bo5bobob3o3b3o4bobo8bob3obo2bobo3bo
2b2obo8bo2bo5b2o2b2ob6ob2o21b2o6bobo2b8o4bo7bo7bo$45bo71b2o7bo9bo3b2ob
7o8bo2bobo3bob2o4b6o7b3obo2bobo5bob2o2b3ob3obo19bo2bo5bobob3o3b3o4bobo
8bob3obo2b3o3bo2b2obo8bo2bo5b2o2b2ob6ob2o21b2o6bobo2b8o4bo7bo7bo$45bo
71b2o7bo9bo3b2ob7o8bo2bobo3bob2o4b6o7b3obo4bobo3bobo3b3ob3obo19bo2bo5b
obob3o3b3o4bobo8bob3obo3b2o3bo2b2obo8bo2bo5b2o2b2ob5o2b2o21b2o6bobo2b
8o4bo15bo$45bo71b3o6bo9bo3b2ob7o8bo2bobo3bob2o4b6o7b3obo4bobo3bobo3b3o
b3obo19bo2bo5bobob3o4b2o4bobo8bob3obo3b2o3bo2b2obo8bo2bo5b2o2b2ob4o3b
2o21b2o6bobo2b8o4bo15bo$45bo71b3o6bo9bo3b2ob7o8bo2bobo3bob2o4b6o7b3obo
4bobo3bobo3b3obobobo19bo2bo5bobob3o4b2o4bobo8bob2ob2o3b2o3bo2b2o10bo8b
2o2b2ob4o3b2o21b2o8bo2b7o5bo$45bo71b3o6bo9bo3b2ob7o8bo2bobo3bob2o4b6o
7b3obo4bobo2b2obo3b3obobobo19bo2bo5bobob3o4b2o4bobo8bob2ob2o3b2o3bo2b
2o10bo8b2o2b2ob4o3b2o21b2o8b2ob7o$45bo71b3o6bo8b2o3b2ob7o8bo2bobo3bob
2o4b2ob3o8b2obo4bobo2b2obo3b3o3bobo19bo2bo5bobob3o4b2o4bobo8bob2ob2o3b
2o3bo2b2o10bo8b2o2b2ob4o3b2o22bo8b2ob7o$45bo71b3o6bo8b2o3b2ob7o8bo2bob
o3bob2o4b2ob3o8b2obo4bobo2b2obo4b2o3bobo19bo2bo5bobob3o4b2o4b2o9bob2ob
2o3b2o3bo2b2o10bo8b2o2b2ob3o4b2o22bo8b2ob7o$45bo71b3o6bo8b2o3b2ob7o8bo
2bobo3bob2o4b2ob2o9b2o6bobo2b2obo4b2o3bobo18b2o2bo5bobob3o4b2o4b2o9bob
2ob2o3b2o3bo2b2o10bo8b2o2b2ob3o28bo8b4ob5o$45bo71b3o5b2o8b2o3b2ob7o8bo
2bobo3bob2o4b2ob2o9b2o6bobo2b2obo4bo4bobo18b2o2bo5bobob3o4b2o4b2o9bo2b
ob2o3b3o2bo2b2o10bo8b2o2b2ob3o28bo8b4ob5o$45bo71b3o5b2o8b2o3bo2b7o8bo
2bobo3bob2o4b2obo10b2o6bobo2b2obo9bobo16bob2o2bo5bobob3o4b2o4b2o12bob
2o3b3o2bo2bo11bo8b2o2b2ob3o28bo8b4ob5o$45bo71b3o5b2o8b2o3bo2b7o8bo2bob
o3bob2o4b2obo10bo7bobo2b2obo9bobo4bo11bob2o2bo5bobob3o4b2o4b2o12bob2o
3b3o2bo2bo11bo8b2o2b2ob3o28bo8b4ob5o$45bo71b3o5b2o8b2o3bo2b7o8bo2bobo
3bob2o4b2obo10bo7bobo2b2obo9bobo4bo11bobo3bo5bobob3o5bo4b2o12bob2o3b3o
2bo2bo11bo8b2o2b2ob3o38b3ob5o$45bo71b3o5b2o8b3o2bo2b7o8b2obobo3bob2o4b
2obo18bobo2bo2bo9bobo4bo2b2o7bobo3bo5bobob3o5bo4b2o12bob2o3b3o2bo2bo
11bo8b2o2b2o2b2o38b3ob5o$45bo71b3o5bobo7b3o2bo2b7o9bobobo3bob2o4b2o20b
obo2bo12bobo4bo2b2o7b3o3bobo3bobob3o5bo4b2o12bob2o3bobo2bo14bo8b2o2b2o
2b2o38b3obob3o$45bo71b3o5bobo7b3o2bo2b7o9bobobo3bo2bo4b2o20bob2obo12bo
bo4bo2b2o7b3o3bob2o2bobob3o5bo4b2o12bobo4bobo2bo14bo8b2o2b2o2b2o38b3ob
obobo$45bo71b3o5bobo7b3o2bo2b7o9bobobo3bo2bo26bob2obo12bobo4bo2b2o7b3o
3bob2o2bobob3o10b2o12bobo4bobo2bo14bo8b2o2b2o2b2o38b3obobobo$45bo71b3o
5bobo7b3o2bo4b5o9bobobo3bo2bo26bob2obo13b2o3b2o2b2o7b3o3bob2o2bobob3o
10b2o12bobo4bobo2bo14bo8b2o2b2o2b2o38b3o5bo$45bo71b3o5bobo7b3o2bo4b5o
9bobobo3bo2bo26bob2obo13b2o3b2o2b2o7b3o3bob2o2bobob3o10b2o12bobo4bobo
2bo14bo8b2o2b2o2b2o38b3o5bo$45bo71b3o5bobo7b3o2bo4b5o9bobobo3bo2bo26b
4obo13b2o3b2o2b2o7b3o3bob2o2bobob3o10b2o12bobo6bo2bo14bo8b2o2b2o2b2o
38b3o5bo$45bo71b3o5bobo7b3o2bo4b5o9bobobo3bo2bo26b4obo13b2o3b2o2b2o7b
3o3bob2o2bobob3o10b2o12bobo6bo2bo14bo8b2o2bo3b2o38b3o5bo$45bo70b4o5bob
o7b3o2bo4b5o9bobobo3bo2bo27b3obo13b2o3b2o2b2o7b3o3bob2o2bobob3o10b2o
12bobo6bo2bo14bo8b2o6b2o38b3o5bo$45bo70bob2o5bobo7b3o2bo4b5o9bobobo3bo
2bo27b3obo13b2o3b2o2b2o7b3o3bob2o2bobob3o11bo12bobo6bob2o14bo8b2o6b2o
39b2o5bo$45bo70bob2o5bobo7b3o2bo4b5o9bobobo3bo2bo27b3obo13b2o3b2o2b2o
7b3o3bob2o2bobob2o12bo12bo8bobo15bo8b2o6b2o39b2o5bo$45bo70bob2o5bobo7b
4obo4b5o9bobobo3bo2bo27b3obo13b2o3b2o2b2o7b3o3bob2o2bobob2o12bo21b3o
24b2o6b2o39b2o5bo$45bo70bob2o2b2obobo7b4obo4b5o9bobobo2b2o30b5o13b2o3b
2o2b2o7b3o3b4o2bobob2o12bo21b3o24b2o47b2o5bo$45bo70bob2o2b2obobo7b4obo
4bob3o9b3obo2bo31b5o13b2o3b2o2b2o7b3o3b4o2bobobo13bo21b3o24b2o47b2o$
45bo70bob2o2b2obobo7b4obo4bob3o9b3obo2bo31b5o13b2o3b2o2b3o5b4o3b4o2bob
obo13bo21b3o24b2o47b2o$45bo70bob2o2b2obobo2bo4b4obo6b3o9b3obo2bo32b4o
13b2o3b2o2b3o5bob2o3b4o2bobobo13bo21b3o24b2o47bo$45bo70bob2o2b2obobo2b
obo2bob2obo6b3o9b3obo2bo32b3o14b2o3b2o2b3o5bob2o3b4o2bobobo13bo21b3o
24b2o47bo$45bo70bob2o2b2obobo2bobo2bob2obo6b3o9b2o2bo2bo32b3o14b2o3b2o
2b3o5bob2o3b4obo2b2o14bo21b3o24b2o47bo$45bo47bo22bob2o2b2obobo2bobo2bo
2bobo6b3o9b2o2bo2bo32b3o14b2o3b2o2b3o5bob2o3b4obo2b2o14bo21b3o24b2o47b
o$45bo47bo22bob2o2b2obobo2bobo2bo2bobo6b3o9b2o2bo2bo32b3o14b2o3b2o2b4o
4bob2o3b4obo2b2o14bo22b2o24b2o47bo$45bo46b2o22bob2o2b2obobo2bobo2bo2bo
bo6b3o10bo2bo2bo32b3o14b2o3b2o2b4o4bob2o3b4obo2b2o14bo22b2o24b2o$45bo
46b2o22bob2o2b2obobo2bobo2bo2bobo6b3o10bo2bo2bo32b3o14b2o3b2o2b4o4bob
2o3b4obo2b2o14bo22b2o24b2o$45bo46b2o22bob2o2b2obobo2bobo2bo2bobo6b3o
10bo2bo2bo32b3o14b2o3b2o2b4o4bob2o4b3obo2b2o14bo22b2o24bo$45bo46b2o22b
ob2o2b2obobo2bobo2bo2bobo6b2o14b2obo32b3o14b2o3b2o2bob2o4bob2o4b3obo2b
2o14bo22b2o24bo$45bo46b2o10bo11bob3ob2obobo2b3o2bo2bobo6bo15b2obo32b3o
14b2o3b2o2bob2o3b2ob2o4b3obo2b2o14bo22b2o24bo$45bo46b2o10bo11bob3ob2ob
obo2b3o2bo2bobo6bo15b2obo32b3o14b2o3b2o2bob2o3b2ob2o4b3obo2b2o14bo22b
2o24bo$45bo46b2o10bo11bob3ob2obobo2b3ob2o2bobo6bo15b2obo32b3o14b2o3b2o
2bob3o2b2ob2o4b3obo2b2o37b2o24bo$45bo46b2o10bo11bob3ob2obobo2b3ob2o2bo
bo6bo16bobo32b3o15b2o2b2o2bob3o2b2ob2o4b3obo2b2o37b2o$45bo46b2o10bo11b
ob3ob2obobo2b3ob2o2bobo6bo16bobo32b3o15b2o2b2o2bob3o2b2ob2o4b5o2b2o37b
2o$45bo46b2o10bo11bob3ob2obobob4ob2o2bobo6bo16bobo32b3o15b2o2b5o2b3ob
2obo5b2ob2o2b2o37b2o$45bo46b2o10bo11bob3ob2obobob4ob2o2bobo6bo16bobo
32b2o17bo2b5o2b3ob2obo5b2ob2o2b2o37b2o$45bo46b2o9b2o11bob3ob2obobob4ob
2o2bobo6bo16b3o32b2o17bo2b5o2b3ob2o7b2ob2o2b2o37b2o$45bo46b2o9b2o11bob
3ob2obobob4ob2o2bobo6bo16b3o51bo2b5o2b3ob2o7b2ob2o2b2o37b2o$45bo46b2o
9b2o11bob3ob2obobob7o2bobo6bo16b3o51b2ob5o2b6o7b2ob2o2b2o37bo$45bo21bo
24b2o9b2o11bobobob2obobob7o2b3o23b3o51b2obob3o2b6o7b2ob2o2b2o37bo$45bo
20b2o24b2o9b2o11bobobob2obobob7o2b3o23b3o51b2obob3o2b6o7b2ob2o2b2o$45b
o20b2o24b2o9b2o11bobobob2obobob7o2b3o23b3o51b4ob3o2b6o7b2ob2o2b2o$45bo
20b2o24b2o9b2o8bo2bobobob2obobob7o2b3o23b3o51b3o2b3o2b5o8b2ob2o2b2o$
45bo20b2o24b2o9b2o8bo2bobobob2obobob3ob3o2b3o23b3o51b3o2b3o2b5o8b2ob2o
2b2o$45bo20b2o24b2o9b2o8bo2bobobob2obobob3ob3o2b3o23b3o51b3o2b3o2b5o8b
2ob2o2b2o$45bo20b2o24b2o9b2o8bo2bo3bob2obobob3ob3o2b2o24b3o51b3o2b3o2b
5o9bob2o3bo$45bo20b2o24b2o9b2o8bo2bo3bob2obobob3ob3o2b2o24b3o51b3o3b2o
2b4o10bob2o3bo$45bo20b2o24b2o5bo3b2o8bo2bo3bob2obobob3ob3o2b2o24b3o52b
2o3b2o2b4o10bob2o3bo$45bo20b2o23b3o5bo3b2o8b2obo3bob2obobob3ob3o2b2o
25b2o53bo3b2o2b4o10bo2bo$45bo20b2o23bobo5bo3b2o8b2obo3bob2obobob3ob3o
3bo80bo3b2o2b4o13bo$45bo20b2o23bobo5bo3b2o8b2obo3bob2obobob3ob3o3bo80b
o3b2o2b4o$45bo20b2o23bobo5bo3b2o8b2obo3bob2obob5ob3o3bo80bo3b2o2b4o$
45bo20b2o23bobo5bo3b2o8b2obo3bob2obob5ob3o3bo80bo3b2o2b4o$45bo20b2o23b
obo2bob2o3b2o8b2obo3bob2obob5ob3o3bo80bo3b2o2b4o$45bo20b2o23bobo2bob2o
3b2o8b2obo3bob2obob5ob3o3bo80bo3b2o2b4o$45bo20b2o23bobo2bob2obob2o8b2o
bo3bob2obob5ob3o3bo84bo3b4o$45bo20b2o23bobo2bob2ob4o8b2obo3bob2obob5ob
3o3bo84bo4b3o$45bo20b2o23bobo2bob2ob4o8b2obo3bob2obob5ob3o3bo84bo4b3o$
45bo20b2o23bobo2bob2ob4o8b2obo3bob2obob5ob2o4bo84bo4b2o$45bo20b2o23bob
o2bob2ob4o8b2obo3bob4ob5ob2o4bo84bo5bo$45bo20b2o23bobo2bob2ob4o8b2obo
3bob4ob5obo5bo84bo5bo$45bo20b2o23bobo2bob7o8b4o3bobob2ob5obo90bo$45bo
20b3o22bobo2bob7o8bob2o3bobob2ob5obo90bo$45bo20bobo22bobo2bob7o8bob2o
3b3ob2ob5obo$45bo20bobo22bo2bobob7o8bob2o3b3ob2ob5o$45bo20bobo22bo2bob
ob7o8bob2o3b3ob2ob5o$45bo20bobo22bo2bobob7o8bob2o3b3ob2ob5o$45bo20bobo
22bo2bobob7o8bob2o3b2o2b2o2b4o$45bo20bobo22bo2bobob7o8bob2o4bo2b2o2b2o
bo$45bo20bobo4bo17bo2bobob7o7bo2b2o4bo2b2o2b2obo$45bo20bobo4bo8bo8bo2b
obob3ob3o7bo2b2o4bo2b2o2b2o$45bo20bobo4bo4bo3bo8bo2bobob3ob3o7bo2b2o4b
o2b2o2b2o$45bo20bobo4bo4bo3bo8bo2bobob3ob3o7bo2b2o4bo2b2o2b2o$45bo20bo
bo4bo4bo3bo8bo2bobob3ob4o6bo2b2o4bo2b2o3bo$45bo20bobo4bo4bo3bo8bo2bobo
b3ob2obo6bo2b2o4bo2b2o3bo$45bo20bobo4bo4bo3bo8bo2b3ob2o2b2obo6bo2b2o4b
o2b2o3bo$45bo20bobo4bo4bo3bo8bo2b3ob2o2b2obo4bobo2b2o7b2o3bo$45bo20bob
o4bo4bo3bo8bo2b3ob2o2b2obo4bobo2b2o7b2o3bo$45bo20bobo4bo4bo2b2o8bo2b3o
b2o2b2obo4bobo2b2o7b2o3bo$45bo20bobo4bo3b2o2b2o8bo2b3ob2o2b2obo3b2obo
2b2o7b2o$45bo20bobo4bo3b2o2b2o8bo2b6o2b2obo2b3obo2b2o7b2o$45bo20bobo4b
o3b2o2b2o8bo2bo2b3o2b2obob6o2bo8b2o$45bo19b2obo4bo3b2o2b2o8bo2bo2b2o6b
ob6o11b2o$45bo19bo2bo4bo3b2o2b2o8bo2bo2b2o6bob3ob2o11b2o$45bo19bo2bo4b
o3b2o2b2o8bo5b2o6bob3obo12b2o$45bo19bo2bo3b2o3b2o2b2o8bo5b2o6bob3obo
12b2o$45bo19bo2bo3b2o3b2o2b2o8bo5b2o6bob3obo12bo$45bo19bo2bo3b3o2b2o2b
2o8bo5b2o6b5obo$45bo19bo2b2o2bobo2b2o2b2o5b2obo5b2o7b4obo$45bo19bo2b2o
2bobo2b2o2b2o4b3obo5b2o7b4obo$45bo19bo2b2o2bobo2b2o2b3o3b3obo5b2o7b4ob
o$45bo19bo2b2o2bob2ob2ob4o3b3obo5b2o7b3o2bo$45bo19bo2b2o2bob2ob2obob3o
2b3obo5b2o7b3o2bo$45bo19bo2b3obob2obob2ob3ob4obo6bo7b3o2bo$45bo19bo2b
3obob4ob2ob10o6bo7b3o$45bo19bo2b3obob4ob2ob6ob2o7bo7b3o$45bo19bo2b3obo
2b3ob2ob6ob2o15b2o$45bo19bo3b2obo3b2ob2ob6ob2o15b2o$45bo19bo3b2obo3b2o
b2o2b5ob2o15bo$45bo19bo4bobo3b2ob2o2b4o2b2o$45bo19bo4bobo3b2ob2o2b4o2b
2o$45bo19bo4bobo3b2ob2o2b3o3b2o$45bo19bo4bobo3bo2b2o3b2o3b2o$45bo17bob
o4bobo6b2o3bo4b2o$45bo17bobo4b3o6b2o9bo$45bo16b2obo4b3o6b2o9bo$45bo11b
o3b3obo4b3o17bo$45bo10b2o3b3obo4b3o$45bo10b2o2b4obo4b2o$45bo10b3ob6o$
45bo9b4ob5o$25b3o3b3o11bo3bo5b6o2b2o$24bo3bobo14bob6o2bob4o2b2o$28bobo
14bob9o2b2o$26b2o2b4o11b7ob3o$28bobo3bo10b501o$24bo3bobo3bo$25b3o3b3o
8$43b3o185b3o2b5obo3bob5ob4o3b3o2b5o2b3o3b3o2bo3bo10bo34bo4b3o4bo4b3o
3bo172bo4b3o3b3o3b3o3b3o3b3o$42bo3bo183bo3bobo5b2o2bobo5bo3bobo3bo3bo
5bo3bo3bob2o2bo9bo11bo22b2o3bo3bo2bobo2bo3bo3bo170b2o3bo3bobo3bobo3bob
o3bobo3bo$42bo2b2o183bo5bo5bobobobo5bo3bobo3bo3bo5bo3bo3bobobobo9bo4b
4ob5o2b3o2b4o2b5o3bo3bo2b2obo3bobo2b2o3bo171bo3bo2b2obo2b2obo2b2obo2b
2obo2b2o$42bobobo183bo2b2ob3o3bo2b2ob3o3b4o2b5o3bo5bo3bo3bobo2b2o9bo3b
o7bo3bo3bobo3bo9bo3bobobo7bobobo3bo171bo3bobobobobobobobobobobobobobob
o$42b2o2bo183bo3bobo5bo3bobo5bo2bo2bo3bo3bo5bo3bo3bobo3bo9bo4b3o4bo3b
5obo3bob5o3bo3b2o2bo7b2o2bo3bo171bo3b2o2bob2o2bob2o2bob2o2bob2o2bo$42b
o3bo183bo3bobo5bo3bobo5bo3bobo3bo3bo5bo3bo3bobo3bo9bo7bo3bo3bo5bo3bo9b
o3bo3bo7bo3bo3bo171bo3bo3bobo3bobo3bobo3bobo3bo$43b3o185b3o2b5obo3bob
5obo3bobo3bo3bo4b3o3b3o2bo3bo10bo2b4o5b2o2b4ob4o9b3o3b3o9b3o3bo171b3o
3b3o3b3o3b3o3b3o3b3o$320bo$320bo!
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