Seeds

[amling]

Are there finite oscillators querying B7c, B8, S5e, S6c, S6e, S6k, S6n?

While LLSSS could conceivably provide negative answers here, the first three I looked at all have positive answers, even just among p3 oscillators.

S5e I had started with odd symmetry across the initial rows, like:

Code: Select all

| AABBBuuuCCCDD | AABBBuuuCCCDD | AABBBuuuCCCDD |
| ..YYYYYYYYY.. | ..YYY*.*YYY.. | ..YYYYYYYYY.. |
| ..WWWWWWWWW.. | ..WWW**.WWW.. | ..WWWWWWWWW.. |
| ..YYYYYYYYY.. | ..YYY*.*YYY.. | ..YYYYYYYYY.. |

Best partials were themselves left/right odd symmetric so I switched to their starting rows with that symmetry:

Code: Select all

| uuuuuRRR | uuuuuRRR | uuuuuRRR |
| ...*.... | .**.*... | *....... |
| **...... | ...**... | ........ |
| ...*.... | .**.*... | *....... |

As usual, p3 searches just go on forever and eventually I spotted something I could solve:

Code: Select all

x = 37, y = 113, rule = B2/S
5bo25bo$3b2o4bo17bo4b2o$10b2o13b2o$bob2o27b2obo$bob3o4b3o11b3o4b3obo$o
3bobo5bo11bo5bobo3bo$5bo2bobo2bo9bo2bobo2bo$8bo19bo$6b2o21b2o$bo9bo2bo
7bo2bo9bo$2bobobo6bo9bo6bobobo$2bobo5b4o9b4o5bobo$4b2o6bo11bo6b2o$6bo
5bo11bo5bo$10b4o9b4o$13bo9bo$11bo2bo7bo2bo3$12bo2bo5bo2bo$14bo7bo$11b
4o7b4o$11bo13bo$10bo2bo9bo2bo2$8bob4obo5bob4obo$8bo6bo5bo6bo$7bo2bo2bo
2bo3bo2bo2bo2bo3$8bo2bo13bo2bo$10bo3bo2bobo2bo3bo$10bo4bo5bo4bo$9bo5bo
5bo5bo$9bo6bo3bo6bo$8bo2bo4b2ob2o4bo2bo$16bo3bo$16bo3bo$13bob2o3b2obo$
9bo2b2o9b2o2bo$8b2o2b2o9b2o2b2o$8bo2b2o11b2o2bo$7bo2bo6bobo6bo2bo$17bo
bo2$8bo2bo5bobo5bo2bo$9bo2b2o3bobo3b2o2bo$9b2o2b2o3bo3b2o2b2o$10bo2b2o
2b3o2b2o2bo$14b3o3b3o$17bobo$9bo3bo2bo3bo2bo3bo$10bob3ob2ob2ob3obo$10b
o2bo9bo2bo$13bo9bo$14bob2ob2obo$14b2o5b2o$14bob2ob2obo$13bo9bo$10bo2bo
9bo2bo$10bob3ob2ob2ob3obo$9bo3bo2bo3bo2bo3bo$17bobo$14b3o3b3o$10bo2b2o
2b3o2b2o2bo$9b2o2b2o3bo3b2o2b2o$9bo2b2o3bobo3b2o2bo$8bo2bo5bobo5bo2bo
2$17bobo$7bo2bo6bobo6bo2bo$8bo2b2o11b2o2bo$8b2o2b2o9b2o2b2o$9bo2b2o9b
2o2bo$13bob2o3b2obo$16bo3bo$16bo3bo$8bo2bo4b2ob2o4bo2bo$9bo6bo3bo6bo$
9bo5bo5bo5bo$10bo4bo5bo4bo$10bo3bo2bobo2bo3bo$8bo2bo13bo2bo3$7bo2bo2bo
2bo3bo2bo2bo2bo$8bo6bo5bo6bo$8bob4obo5bob4obo2$10bo2bo9bo2bo$11bo13bo$
11b4o7b4o$14bo7bo$12bo2bo5bo2bo3$11bo2bo7bo2bo$13bo9bo$10b4o9b4o$6bo5b
o11bo5bo$4b2o6bo11bo6b2o$2bobo5b4o9b4o5bobo$2bobobo6bo9bo6bobobo$bo9bo
2bo7bo2bo9bo$6b2o21b2o$8bo19bo$5bo2bobo2bo9bo2bobo2bo$o3bobo5bo11bo5bo
bo3bo$bob3o4b3o11b3o4b3obo$bob2o27b2obo$10b2o13b2o$3b2o4bo17bo4b2o$5bo
25bo!

B8 I just started immediately with odd top/down and odd left/right symmetry

Code: Select all

| uuCCCDD | uuCCCDD | uuCCCDD |
| ..YYY.. | **YYY.. | ..YYY.. |
| ..WWW.. | .*WWW.. | ..WWW.. |
| ..YYY.. | **YYY.. | ..YYY.. |

Which ended up similarly (spotted immediatley solvable partial with some branches):

Code: Select all

x = 71, y = 129, rule = B2/S
4bo61bo$6bo3bo49bo3bo$4bobobo53bobobo$5b2obobo49bobob2o$obo4b2o53b2o4b
obo$3bo7bobo43bobo7bo$b3o3bo55bo3b3o$4bob2o3b2o45b2o3b2obo$2b3o7b2o9bo
23bo9b2o7b3o$21b2o4bo15bo4b2o$bobo8bobo13b2o11b2o13bobo8bobo$5bobo11bo
b2o25b2obo11bobo$7bobobo7bob3o4b3o9b3o4b3obo7bobobo$5bo3bobo6bo3bobo5b
o9bo5bobo3bo6bobo3bo$23bo2bobo2bo7bo2bobo2bo$12bobo11bo17bo11bobo$24b
2o19b2o$12b2o5bo9bo2bo5bo2bo9bo5b2o$13b2o5bobobo6bo7bo6bobobo5b2o$20bo
bo5b4o7b4o5bobo$13bobo6b2o6bo9bo6b2o6bobo$24bo5bo9bo5bo$10bobo15b4o7b
4o15bobo$31bo7bo$11b2o16bo2bo5bo2bo16b2o2$12b2o43b2o$30bo2bo3bo2bo$11b
obo5bo11bo7bo11bo5bobo$17bo13bo7bo13bo$15b2o2bo12bo5bo12bo2b2o$17bo4bo
bo7bo5bo7bobo4bo$14bobo4bo8bo2bo3bo2bo8bo4bobo$19bo2b2o23b2o2bo$21bo
27bo$19bo5bobo3bo2bobo2bo3bobo5bo$32bo5bo$25b2o5bo5bo5b2o$33bo3bo$26b
2o5b2ob2o5b2o$33bo3bo$26bobo3bo5bo3bobo$32bo5bo$31bo2bobo2bo$25bobo15b
obo2$26b2o2bo2bo3bo2bo2b2o$32bo5bo$27b6o5b6o$26bo2bo11bo2bo$32b7o$29bo
5bo5bo$29b3o7b3o$25bo2bo3bo2bo2bo3bo2bo$26bo3b11o3bo$26bob2o11b2obo$
28bo3bo5bo3bo$31bo7bo$31bo7bo$27bo2bo2b5o2bo2bo$28bo3bo2bo2bo3bo$28bob
2o7b2obo$30bo4bo4bo$30bo3b3o3bo$30b2ob2ob2ob2o$30bo3b3o3bo$30bo4bo4bo$
28bob2o7b2obo$28bo3bo2bo2bo3bo$27bo2bo2b5o2bo2bo$31bo7bo$31bo7bo$28bo
3bo5bo3bo$26bob2o11b2obo$26bo3b11o3bo$25bo2bo3bo2bo2bo3bo2bo$29b3o7b3o
$29bo5bo5bo$32b7o$26bo2bo11bo2bo$27b6o5b6o$32bo5bo$26b2o2bo2bo3bo2bo2b
2o2$25bobo15bobo$31bo2bobo2bo$32bo5bo$26bobo3bo5bo3bobo$33bo3bo$26b2o
5b2ob2o5b2o$33bo3bo$25b2o5bo5bo5b2o$32bo5bo$19bo5bobo3bo2bobo2bo3bobo
5bo$21bo27bo$19bo2b2o23b2o2bo$14bobo4bo8bo2bo3bo2bo8bo4bobo$17bo4bobo
7bo5bo7bobo4bo$15b2o2bo12bo5bo12bo2b2o$17bo13bo7bo13bo$11bobo5bo11bo7b
o11bo5bobo$30bo2bo3bo2bo$12b2o43b2o2$11b2o16bo2bo5bo2bo16b2o$31bo7bo$
10bobo15b4o7b4o15bobo$24bo5bo9bo5bo$13bobo6b2o6bo9bo6b2o6bobo$20bobo5b
4o7b4o5bobo$13b2o5bobobo6bo7bo6bobobo5b2o$12b2o5bo9bo2bo5bo2bo9bo5b2o$
24b2o19b2o$12bobo11bo17bo11bobo$23bo2bobo2bo7bo2bobo2bo$5bo3bobo6bo3bo
bo5bo9bo5bobo3bo6bobo3bo$7bobobo7bob3o4b3o9b3o4b3obo7bobobo$5bobo11bob
2o25b2obo11bobo$bobo8bobo13b2o11b2o13bobo8bobo$21b2o4bo15bo4b2o$2b3o7b
2o9bo23bo9b2o7b3o$4bob2o3b2o45b2o3b2obo$b3o3bo55bo3b3o$3bo7bobo43bobo
7bo$obo4b2o53b2o4bobo$5b2obobo49bobob2o$4bobobo53bobobo$6bo3bo49bo3bo$
4bo61bo!

B7c I decided not to try to take advantage of the diagonal symmetry and instead just decide to accept one short side.

With an input of all zeros this is unsolvable at any width:

Code: Select all

| LLLLLuuuRRRRR | LLLLLuuuRRRRR | LLLLLuuuRRRRR |
| WWWWWWWWWWWWW | WWWWWWWWWWWWW | WWWWWWWWWWWWW |
| WWWWWWWWWWWWW | WWWWWWWWWWWWW | WWWWWWWWWWWWW |
| WWWWWWWWWWWWW | WWWWWWWWWWWWW | WWWWWWWWWWWWW |
| WWWWWWWWWWWWW | WWWWWWWWWWWWW | WWWWWWWWWWWWW |
| WWWWWWWWWWWWW | WWWWW.**WWWWW | WWWWWWWWWWWWW |
| WWWWWWWWWWWWW | WWWWW*.*WWWWW | WWWWWWWWWWWWW |
| WWWWWWWWWWWWW | WWWWW***WWWWW | WWWWWWWWWWWWW |
| WWWWWWWWWWWWW | WWWWWWWWWWWWW | WWWWWWWWWWWWW |

But with one more row of W's on the north side it started to have long partials, eventually solved with:

Code: Select all

x = 64, y = 112, rule = B2/S
30bo4bo10bo$23bo4bo8bo5bo3b2o$25bo2bo8bo3bo$25bo3bobo3b2o4bo5bo$20bo5b
o2bo3b2obo2bo$29bo4b3o3b2o4bobo$21b2o5bo4bobo4bo10bo$23bo3b2o5bo12bo$
25bo4b2o6bobo3bo2bob2o$17bobo3bobo6bo4b3o5b2o$20bobobo5b2o4bo17bo$18b
2o4bo16bobo$20bobo4b2o3bo4bo3bo10b2o$19bobo3bo11bo4bo$28bo2b2obo2bo9bo
$18bobo2bo6bo2bo7bo$28bo10bo5b2o4b2o$22bobo4b2o3bo4bo2b2o3bo$15bobo2bo
3b2o9bo4b2o4bo6bo$18bo3bo3bo8bobo11bo$16b2o4bobo7bob2ob5o3bo3bo$17bo3b
o2bo2bo9bo2bo10bo$19bo7b3o2b2o4bo5bo$16bobo6bo5bo3bo2bo3b3o$22bo8bo4bo
3bo$19b2o3b2o6bo3bo9bo$18bo6b5o5bobo$21bo2bo2bo8bo$14bo2bo5bo6bo9bobo
2bo$15bo2bo8bo5b3obo6bo$15bo2bobo5b3obo7b2o2b3o$16bobobo2bob2o2bobo9bo
bo$11bobo6bo10bo3b2o7b2o$16bobob2o4b2obo4bo2bo3bobo$12b2o2b2obobo6bo4b
o3bo6bobo$11b2o12b2o6bo2bo$16b2obo2bo6bo4b2o3b2obo$10bobo5b5o2bo3b3o7b
o$13b2o4bo2b3o2b2o8b4o4b2o$16bo2bo2b3o5b2o6bo3bo$13bo3bo4bo4b2o2bo4bo
10bo$17bo5bo17bo$10bobo2bobo2bo3bo7b2o4bo3b2o$22bobo$11b2o2bobo16bo3bo
5bo$15b3o10b2o8bo$12b4o4bobo4bobo8bo$14bo7bo4b2o$11bobo3bobo12bob3obo
4bo$18bo3bobo$17b2o2bobo8bo8b2o$22b2o2bo5bo4bo$6bo3bo16bo4bo7bo$6bobo
3b3obo9b2o11b2o3bo$5bo4bo21bo17bo$35b2o$17bob3obo6bo8bo3b2o3b2o$6bo4bo
14bo3bo12bo3bo$7bobo3b3o9bo4b2o7b2o5b2o$7bo3bo12b2o7bobo7bob2o2b2o$28b
o4bobo2bo5bo$16bo6b2o26bo$11bo3bo17bobo11bo$16b2o4bobo8b3o6bo3bo$12b2o
bo14bobo3bobo8b2o$16bobo6bobo15b2obo$31b2o3b2o9bobo$25b2o10b2o$13b2o9b
2o4b2o$37bobo4b2o$10bo4bo7bobo4bobo$43bo4bo$11b2o14b2o7bobo$46b2o$26bo
bo8b2o$12b2o$36b2o$14bo12bobo17b2o$4bo5bo25bobo$6bo3bo16b2o17bo4bo$bo
4bo7bo$26b2o7bobo11b2o$2b2o8b2o$8bo16bobo8b2o$5bo44b2o$4bobo4b2o24b2o$
b2o4bo18bobo20bo$6bo6bo23bobo13bo5bo$o8bo16b2o25bo3bo$5bo3bo39bo7bo4bo
$5bo5bo15b2o7bobo$3bo46b2o8b2o$27bobo7b2o16bo$58bo$20bo3bobo9b2o13b2o
4bobo$22bobobo29bo4b2o$20bobo12bobo12bo6bo$16bobo8bobo24bo8bo$38bobo3b
o9bo3bo$17b3o7b2o9bobobo9bo5bo$19bob2o3b2o14bobo15bo$16b3o3bo12bobo8bo
bo$18bo7bobo$15bobo4b2o12b2o7b3o$20b2obobo11b2o3b2obo$19bobobo18bo3b3o
$21bo3bo10bobo7bo$19bo21b2o4bobo$39bobob2o$41bobobo$39bo3bo$45bo!

S6c, S6e, S6k, and S6n all still perhaps TBD but it's rather tedious to juggle the different possible initialization patterns and then the big solution searches.

EDIT:

Some of the above query S6c although I didn't notice until solving it separately:

Code: Select all

x = 42, y = 79, rule = B2/S
29bo$21bo5bo$23bo3bo$23bo8bo$19bo6bo$25bo4b2o$20b2o4bobo$27bo$24bo$19b
2o8b2o2$18bo7bo4bo$22bo3bo$22bo5bo$4bo13bo18bo$6bo3bo20bo3bo$4bobobo
10b2o12bobobo$5b2obobo20bobob2o$obo4b2o24b2o4bobo$3bo7bobo6b2o6bobo7bo
$b3o3bo26bo3b3o$4bob2o3b2o9bo6b2o3b2obo$2b3o7b2o4bo9b2o7b3o2$bobo8bobo
4b2o6bobo8bobo$5bobo26bobo$7bobobo18bobobo$5bo3bobo8b2o8bobo3bo2$12bob
o7bo4bobo$18bo$12b2o14b2o$19b2o$13b2o12b2o2$12bobo12bobo$17bo2b2o2bo$
16bo3b2o3bo$16bo3b2o3bo$16b2ob4ob2o$16bo3b2o3bo$16bo3b2o3bo$17bo2b2o2b
o$12bobo12bobo2$13b2o12b2o$19b2o$12b2o14b2o$18bo$12bobo7bo4bobo2$5bo3b
obo8b2o8bobo3bo$7bobobo18bobobo$5bobo26bobo$bobo8bobo4b2o6bobo8bobo2$
2b3o7b2o4bo9b2o7b3o$4bob2o3b2o9bo6b2o3b2obo$b3o3bo26bo3b3o$3bo7bobo6b
2o6bobo7bo$obo4b2o24b2o4bobo$5b2obobo20bobob2o$4bobobo10b2o12bobobo$6b
o3bo20bo3bo$4bo13bo18bo$22bo5bo$22bo3bo$18bo7bo4bo2$19b2o8b2o$24bo$27b
o$20b2o4bobo$25bo4b2o$19bo6bo$23bo8bo$23bo3bo$21bo5bo$29bo!

I then got lucky that when solving S6e it happened to also query S6n and S6k:

Code: Select all

x = 46, y = 104, rule = B2/S
29bo$19bo4bo2bo$14bo2bo8b2obo$16b2obo4bo3bo5bo$14bobo8bo6bo$15bobo2bob
o6bo2bo$21b2o3bo4bo5bo$11bobo2b2o2b3o2bo$16b2o2bobo2bo9b2o$12b2o12bobo
bo3bo$16b2o2bobo4bo$11b6o3b3o5bo3bo3b2o$10bo2bo8b4o$19bo9bo3bo4bo$13bo
4bo2bob3o3bo3bo$9bo3b4ob2o5bo2bo6bo$13bob2o2bo8b2o$10b2ob2o2b2o7bo$13b
o4b2obo2bobo2bobo$16bo12bobo$12b3o4bo7bo4bo$8bob2o27bo$19b2o3b2o11bo$
9bo3bo4bo9bobo4b2o2bo$23bo6bo4bo2bo$28bo8bo$11bo2bo16b4o5bobo$13bo11bo
8b3o$10b4o13b3o4bobo3b2o$6bo5bo11b2o3bo$4b2o6bo8bo12bobo2b2o$2bobo5b4o
9b2o5b2obob2o$2bobobo6bo7bob2o2bo6bo4bobo$bo9bo2bo7b2o2bo3b2ob2o$6b2o
18bo9b2o$8bo14bo2bo$5bo2bobo2bo6b2o4bobob2obo2b2o$o3bobo5bo12bo2bob2ob
o5bobo$bob3o4b3o6bo$bob2o18bo11bob4o$10b2o11bo$3b2o4bo11bo8b3o4bo2b2o$
5bo21b4o5bo$27bo2bo3b3o3bobo$33bo2bo$27bobo7b2o$27b3o2bo$29b4o4bobo$
25bo5bobo$23bob2o4bobo$23bo5b4o2bo2bo$22bo2bo6bo2bo$30bo$20bob5o6b3o$
20bo4bo5bo3bo$19bo2bo7bo$26b2ob2o5bo2bo$28b3o7bo$18bo2bo6b2o6b3o$19bo
2b2o4bo4b3o$19b2o2bo5bo8b2o$20bo5bo7b2o$23b3o2bobo4bo2bobo$32bo$24b3ob
3o5bo$21bo3b5o$22bo3bo7b2obo$22bo9bo$23bo2bo$18bobo11bo$34bob2o$19b2o
7b2o3bo$28bobo3bo3bo$18b2o8bo3b2o$28b2o2bo$17bobo10bob2obo$24bobo$20bo
bobo7b2o$20bobo3bo$32bobo$17bobo2$18b2o10bobo2$17b2o12b2o2$17bobo12b2o
2$10bo3bobo14bobo$12bobobo$10bobo21bobo3bo$6bobo8bobo14bobobo$38bobo$
7b3o7b2o12bobo8bobo$9bob2o3b2o$6b3o3bo19b2o7b3o$8bo7bobo14b2o3b2obo$5b
obo4b2o24bo3b3o$10b2obobo16bobo7bo$9bobobo23b2o4bobo$11bo3bo19bobob2o$
9bo27bobobo$35bo3bo$41bo!

[confocaloid]

Are there finite oscillators querying B7c, B8, S5e, S6c, S6e, S6k, S6n?

While LLSSS could conceivably provide negative answers here, the first three I looked at all have positive answers, even just among p3 oscillators.

[...]

S6c, S6e, S6k, and S6n all still perhaps TBD but it's rather tedious to juggle the different possible initialization patterns and then the big solution searches.

EDIT:

Some of the above query S6c although I didn't notice until solving it separately: [...]

I then got lucky that when solving S6e it happened to also query S6n and S6k: [...]

Here is a (trivial) finite p24 oscillator that is "as close to being isotropically endemic to Seeds as one could get":

Code: Select all

#C This p24 queries (some orientation of) every 3x3 condition,
#C except for the following three (which cannot be queried
#C by any finite periodic pattern):
#C S7c  S7e  S8
#C .oo  o.o  ooo
#C ooo  ooo  ooo
#C ooo  ooo  ooo
#C The pattern is assembled from oscillators posted in forum thread:
#C https://conwaylife.com/forums/viewtopic.php?f=11&t=1390
x = 254, y = 177, rule = B2/S
48bo3bo$46bobo4b2o$48bo4b2o$42bo5bobo4bo$41bo3bo$88bo103bo$41bo48bo3bo
91bo3bo$42bo3bo3bo4bo32bobobo95bobobo$48bo4b2o34b2obobo91bobob2o$53b2o
29bobo4b2o95b2o4bobo$40bo11bo34bo7bobo85bobo7bo$42bo42b3o3bo97bo3b3o$
40bo2b2o43bob2o3b2o13bo14bo29bo14bo13b2o3b2obo$42bo4bo4bo33b3o23bo5bo
8bo2bo19bo2bo8bo5bo23b3o$36bobo6b2o8bo40b2o12bob2obo4bo4bob2o7bo7bo7b
2obo4bo4bob2obo12b2o$39bobobo2bo2b2o5b2o27bobo18bo6bo4bobobobo3bobo3bo
11bo3bobo3bobobobo4bo6bo18bobo$37b2o5b2obo2bo38bobo4b2o10bo6bo6bobo6bo
b2obo7bob2obo6bobo6bo6bo10b2o4bobo$39bo2b2obobo2bo5bo34b2obo4bobo4bobo
22bo2b2o9b2o2bo22bobo4bobo4bob2o$36b3o8bo41bo2bo8b2obo20bo7bo13bo7bo
20bob2o8bo2bo$39bo8bobo4bobo36bo4bo2bo7bobo3bo5b2o6bo6b2o3b2o6bo6b2o5b
o3bobo7bo2bo4bo$31bobo13bo12bo43bo7bobo10b2o5bo3bo2bobo2bo3bo5b2o10bob
o7bo$34bo3bo17bo53bo3bobo7bo7bo15bo7bo7bobo3bo$32b3ob2o4b2o2bobo2b2o3b
ob2o57b2ob2ob3o5bo3bo4bo4bo3bo5b3ob2ob2o$33b2o2b2o16bo61bo4b2o3b3o5bo
4bo4bo5b3o3b2o4bo$38bo8bo69b2ob2ob3o5bo3bo4bo4bo3bo5b3ob2ob2o$32bobo7b
2o3bo6bo55bo3bobo7bo7bo15bo7bo7bobo3bo$35b2o10b2o6bobob2o43bo7bobo10b
2o5bo3bo2bobo2bo3bo5b2o10bobo7bo$41bo8bo5bo37bo4bo2bo7bobo3bo5b2o6bo6b
2o3b2o6bo6b2o5bo3bobo7bo2bo4bo$35b2o4bob2o9b2obo3bo27bo2bo8b2obo20bo7b
o13bo7bo20bob2o8bo2bo$34b3o7bo2b3o2bo38b2obo4bobo4bobo22bo2b2o9b2o2bo
22bobo4bobo4bob2o$28bo15bo3bo40bobo4b2o10bo6bo6bobo6bob2obo7bob2obo6bo
bo6bo6bo10b2o4bobo$33bo20b2o29bobo18bo6bo4bobobobo3bobo3bo11bo3bobo3bo
bobobo4bo6bo18bobo$29b2o4bo3b2o2bo4bo47b2o12bob2obo4bo4bob2o7bo7bo7b2o
bo4bo4bob2obo12b2o26bo$33bob2o4bobo12bo29b3o23bo5bo8bo2bo19bo2bo8bo5bo
23b3o18bo5bo$34bo8bo2bo4b2o35bob2o3b2o13bo14bo29bo14bo13b2o3b2obo20bo
3bo27bo$33bo9bo2bo38b3o3bo97bo3b3o12bo8bo19bo5bo$29bob2o4bobo2b2o2bobo
38bo7bobo85bobo7bo20bo6bo17bo3bo$36bo2bo3bo5bo7bo26bobo4b2o95b2o4bobo
12b2o4bo23bo8bo$25bo4bo13bo7b2o35b2obobo91bobob2o20bobo4b2o14bo6bo$27b
o6bo3bo6bob2o6b2obo29bobobo95bobobo20bo27bo4b2o$27bo2bo5bo5b3o9bo35bo
3bo91bo3bo25bo19b2o4bobo$28bo5bo7bo2bo3bo38bo103bo17b2o8b2o21bo$24bo
20b2o3bo3bo185bo$32b2o4b2o4bo3bo6bob2o150bo4bo7bo12b2o8b2o$25b2o3bo6bo
3bo10bobo159bo3bo$27bo12bo2bo11bo3bo152bo5bo15bo7bo4bo$27bobo6bo6bobo
2bo4bo168bo15bo3bo$24b2o4bob3o4bo9bobo186bo5bo$29bo6b3o2b2o6bobo48bo
63bo55b2o12bo$23bo5bo8bo3bo59bo5bo47bo5bo19bo8bo9bo$27bo3bo5b3ob2ob2o
5b2o49bo3bo51bo3bo16bo3b2o4b2o4bo3bo35b2o$27bo3b2o3bo60bo8bo51bo8bo9b
2o6b4o7b2obobo$24bo7bo2bo10bo3bobo50bo6bo43bo6bo20bo5bo2bo5bob2o20b2o$
32bo65b2o4bo55bo4b2o8bob2o2b2o8b2o2bobo$26bo10bob2o12bobo45bobo4b2o45b
2o4bobo11bob2obo6bo4bo6bo3bo19bo10b2o$28b3obo4bo6bo2bo54bo59bo11bo3b4o
bo4bobobo2bo3bo3b2o14bo$37bo3bo3bo7b2o50bo13bo25bo13bo19bo13bo5bo2bobo
31bo$26bo18b4o50b2o8b2o10bo3bo13bo3bo10b2o8b2o5bo6bo10b2o2bo5b2o4bo14b
2o4bo5bo$37bo10bo5b2o63bobobo17bobobo38b2o42bo3bo$33b2o3bo7bo2bo48bo4b
o7bo8b2obobo13bobob2o8bo7bo4bo5b2o3bobo7bobo2bo11b2obo20bo7bo$29b2o7bo
14bobo47bo3bo7bobo4b2o17b2o4bobo7bo3bo13bo11bobo6bo3bo6bo16bo$29bo9bo
61bo5bo10bo7bobo7bobo7bo10bo5bo11bo9bo3bo6bo8bo2bo9b3obo11b2o$26bo2bo
2bo3bo19bobo52bo4b3o3bo19bo3b3o4bo27b2o6b2obo4bo26bo$26bob2obo15bo2bo
68bob2o3b2o9b2o3b2obo27b2o4b2o8bo10bo15bobo5bo$25bo3bo2bo2b3o2bo7bo7b
2o51b2o6b3o7b2o7b2o7b3o6b2o22b2o5b2o15bo13bobo2bo$30b3obo13b4o120bo4bo
5bo2bo7bobo5bobo2bo7bo4bob2o2bo6b2o$32bobo3bo12bo5b2o57bobo8bobo5bobo
8bobo20bo9bobo3b3o6bo4b2o5bo16b3o$18bo7bo4bo2bob3o10bo2bo57b2o8bobo19b
obo8b2o20bo5b2o5bo2bo4bo7b3o19bobo6bo$20bo6bobo26bobo63bobobo11bobobo
27b2o2bo4bo2b3obobo3b2o3b2o17bo5b2obo3b2o$18bo2b2o4bo3bo8bo66bo4bo7bo
3bobo11bobo3bo7bo4bo15b3o6bobo12bo6b2o15bo3b2obo3bo$19bo2bo36bobo111bo
3bo4bo4bo2bo4b3o2bo2bo13b2ob2obo5bo$20bo5bo2b2ob2o16bo2bo54b2o17bobo5b
obo17b2o14b2o4bo13bo2bo2bo21bo10b2o$15bobo5b3o3bo6bo2bo11bo7b2o115b2o
4bo3bo4bo21bo5bo2bo2b3o$21b3o4b2o8bo12b4o72b2o7b2o32bo7b2o6b4o7bo2bo
18bobo9b2o$16b2o3bobob6o7bo15bo5b2o66b2o5b2o57b6o14b2o5b2o5bobo$22bo2b
o2bo2b2o4bo14bo2bo53b2o43b2o17b2o15bo27bo3b2o4bo2b2o$15b2o8b2o2bo7bo
21bobo5bo49bo9bobo5bobo9bo21bo3bo5b2ob2o4bo3bobo2b2o25bo2b2o4bobo$24bo
bo6bo2bo2bo25bo42bo6bo33bo6bo16bobo3bo6bob2o2bo26bob3o2b4o$14bobo2bo2b
3o2bo35b2o2bo47bo5bo21bo5bo18bob2o3b2obobob2o8b2o3bobo14bob2obobo11b2o
$22b2o3b3o23bo2bo8bo4bobo39b2o14bobo3bobo14b2o24bobo39bo5bo2bo3b2o$17b
o6bo2bobobo2bo19bo7bobo4bo49b2o23b2o19bo5bo3b2o7bo11bo18bo3b4obo2bo$
24bo6bo2b2o2bo15b4o9bo2b2o4bo34bo5bo10b2o5b2o10bo5bo17bo3bo3bo4bo11bo
22bo5b3o4bobo$16bob2o6bo2bobo2bo2bo19bo11bo4bo42bo6bo4b2o3b2o4bo6bo18b
2o3bo10bo6b2o3bo3b2o24bo$20bo10bo2b2obo17bo2bo8bo4b2o2bo38bo33bo24bo6b
o6bobo28bo9b2o$23bo11bo38bo4bobo40b2o4bobo3bobo4b2o27bo3bo3bo9b2o10bo
21bo$19bo5bo2bo42bobo4bo52b3o31b2o7b2o3bo4bo31bo2b2o8bobo$16b2o5bo2bo
5bo2b2o39bo2b2o4bo45bobo37bo5b2o3bo9bob3o19bobo4bobo$27b2obobobo21bo2b
o18bo4bo80bo7bo12bo2bo7bobo2bo12bobo6bo2b2o$15bo5b2ob2o2bo28bo18bo4b2o
2bo37b2o6bobo6b2o25b2o3bo2bo5bo9bo8bo17b3o4bo2bo$19bo8bo2b2o24b4o22bo
4bobo40b3o35b2o6b2o5bo7bo4b2obo14bo2b2o2bo$19bo4b3obobo29bo19bobo4bo
37bo2bobo3bobo2bo24bo14b2o2b2o5bobobo23b2o5bo$15bo8bo3bo29bo2bo23bo2b
2o4bo27bo19bo27bo2bo7b2o2bo2bobo2b2o3bo12bo4bo2bo5bo$24bo3bo58bo4bo36b
2o3b2o29b2o3bo3bo2bo2bob2o3bo2bo4bobo26b2o$16b2o5b4o58bo4b2o2bo28b2o3b
2o5b2o3b2o28bo3b2o2bob2o2b2obo2bo3bo2bo14b2o4bo3bo5bo20bo$23bob2o65bo
4bobo73bo3b2obo4bo4b2ob2o23b2o7b2obo12bo3bo$22bo3bo32bo2bo26bobo4bo31b
obo3bobo33bo4bo2b2o2bo2bob4o3bo21b3o3bo5bo2b2o12bobobo$27b2o32bo32bo2b
2o67b2obo8b2o4bobo2bo4bo48bobob2o$15b2o41b4o34bo27b2obo9bob2o29bobo4bo
2bo2b3o7b2obo16b2o16b3o11b2o4bobo$27bo30bo35bo5bobo21bo15bo24bo3bo3bo
6b3obo4bo2bo3bo24bo2bo4bobobo6bobo7bo$12bo4bo5bo2b2obo27bo2bo63bo2b2ob
2ob2ob2o2bo29bo5bobobo3bo3b4o2bo2bo14bo8bo2bo3bo5bo11bo3b3o$24bo4bo70b
2o21bobo4bo3bo4bobo22b7o2b2o7bob2ob2o4bo22b2o10b2o11b2o3b2obo$13b2o9bo
b2o2bo99b2ob2o32bo3b2o2bo4bo2b2o3bo4bo36bo9b2o7b3o$26bo31bo2bo39b2o19b
obo15bobo16bobo14b4o3b2o4b4o3bo15bo11bo3bo$59bo67b2o7b2o24bo4bo2bob5o
5bobo2b2o6b4o4bo14bob3o5bo2bo7bobo8bobo$25b2o2bo29b4o38bobo22bo11bo21b
3ob6obo2bo2bo2b3o3bobo2bob4o4bobo9b2o9b2obo3bo14bobo$12b2o13bobobo28bo
5bo59bo2bo5bo2bo22b3ob6o7b2o6bo4bo3bo3b2o3bo13bo6b2obo4bo8bobobo$29bo
2b2o26bo6b2o29bobo24bobo9bobo23bo4bo5bo7b2ob4ob2o6bobo17bo6bo16bobo3bo
$9bo4bo44b4o5bobo89bobo8b8obobo4bobo2bo5bo19bo9bo$32bo26bo6bobobo28b2o
23bobo3b2ob2o3bobo27bo13bo10bobo2bo2bo3bo6b2o7bo3bo13bobo$10b2o16bo2b
2obo23bo2bo9bo28b2o28bo3bo30b3ob2o12bo4bo4bo7b2obo13bo7b2o$29bo4bo30b
2o61b2obobob2o51bo10b3o2bo6bo7bo2bo3bo13b2o$29bob2o2bo28bo34bobo26bobo
3bobo29bobo8b2o9bo27b2o2b2o5bobo$31bo27bo2bobo2bo98bobo15bo7bo4bobo15b
o4b2o2bob2obo4bo6b2o$9b2o49bo5bobo3bo29bobo3bo19bobo3bobo28bo4b2o4bo4b
o6bo8bobo15bo3bo3bo6bo5bo3bo2b2o$30b2o4bo23b3o4b3obo30bobobo21b2obobob
2o48b2obob2o4bo4b2o10bo8bo2b2o7bobobob2o$6bo4bo20bo4b2o29b2obo34bobo
21bo3bo37bo6b2o7bo35bo10b2o8bo$61b2o36bobo8bobo11bobo3b2ob2o3bobo62bo
17bobo$7b2o28bo25bo4b2o96bo2bo21b2o35bo7bo2bo$33bo2b2obo27bo32b2o7b3o
13bobo9bobo28bo9b2o4b2o11bo2bo24bo2bo3b3o2b2o2bo2bo$34bo4bo61b2o3b2obo
16bo2bo5bo2bo26b4o24bo4bo30b4o10bo$34bob2o2bo65bo3b3o13bo11bo26bo11bo
8bo3bo7b4o18bo3bo4bo11b3o$6b2o28bo63bobo7bo16b2o7b2o26bo2bo33bo16b2o5b
o7b2obob2o2bo$105b2o4bobo8bobo15bobo38b2o8b2o6bo2bo13bobo9bo2bo5bo4bo$
3bo4bo26b2o4bo61bobob2o21b2ob2o81bob2o3bo8bo3bob2ob2o$37bo4b2o61bobobo
13bobo4bo3bo4bobo23bo2bo11bo34bo6b3o4bo$4b2o97bo3bo16bo2b2ob2ob2ob2o2b
o26bo15bo35bobobobo6bo$42bo66bo14bo15bo23b4o22b2o8bo2bo16b2o4bo5bo3b2o
$38bo2b2obo79b2obo9bob2o19bo5bo14b2o18bo14bo6bo3bo4bo7b2o$39bo4bo113b
2o6bo25bo8b4o12bob2ob4obo$3b2o34bob2o2bo82bobo3bobo19bobo5b4o21bo14bo
12bob2o3bo5bo2bo2b2o4bo$41bo114bobobo6bo34bo2bo19b2o5bo$o4bo117b2o3b2o
5b2o3b2o13bo9bo2bo11b2o8b2o27b2o5b2o10bo$40b2o4bo82b2o3b2o24b2o59bo6bo
6bo2bo$b2o39bo4b2o73bo19bo19bo16bo23bo2bo18bo2bo6bo4bo$125bo2bobo3bobo
2bo19bo2bobo2bo14bo21bo20bo4bo2bo$47bo83b3o20bo3bobo5bo24b2o11b4o15bo$
2b2o39bo2b2obo73b2o6bobo6b2o13bob3o4b3o13b2o23bo5bo$44bo4bo105bob2o34b
o11bo6b2o$bo42bob2o2bo80bobo30b2o24bo13b4o5bobo$5bo5bo34bo84b3o23b2o4b
o40bo6bobobo$5bo3bo112b2o4bobo3bobo4b2o16bo21b2o8b2o10bo2bo9bo$bo7bo4b
o30b2o2bo9bo55bo33bo60b2o$47bobobo5b2o3bo6bo47bo6bo4b2o3b2o4bo6bo35bo
25bo$2b2o8b2o41bobo5b2o2b2o3bo38bo5bo10b2o5b2o10bo5bo19bo5bo24bo2bobo
2bo$7bo41b2o6bobo4b4o5b2o44b2o23b2o29bo3bo10b2o13bo5bobo3bo$10bo40bo4b
2o4bobo2bobo4bobo35b2o14bobo3bobo14b2o17bo4bo7bo21b3o4b3obo$3b2o4bobo
43bo8bo2bo4bobobo38bo5bo21bo5bo39bo23b2obo$8bo4b2o62bo30bo6bo33bo6bo
14b2o8b2o10bo5bo6b2o$2bo6bo61b2o44bo9bobo5bobo9bo29bo15bo3bo10bo4b2o$
6bo8bo54bo38b2o43b2o18bo14bo7bo4bo9bo$6bo3bo54bo2bobo2bo54b2o5b2o36bob
o4b2o$4bo5bo55bo5bobo3bo48b2o7b2o32b2o4bo13b2o8b2o$12bo53b3o4b3obo97bo
6bo12bo$74b2obo30b2o17bobo5bobo17b2o12bo8bo19bo$67b2o105bo3bo12b2o4bob
o$69bo4b2o31bo4bo7bo3bobo11bobo3bo7bo4bo16bo5bo15bo4b2o$73bo48bobobo
11bobobo29bo17bo6bo$110b2o8bobo19bobo8b2o39bo8bo$116bobo8bobo5bobo8bob
o45bo3bo$192bo5bo$109b2o6b3o7b2o7b2o7b3o6b2o44bo$119bob2o3b2o9b2o3b2ob
o$111bo4b3o3bo19bo3b3o4bo$101bo5bo10bo7bobo7bobo7bo10bo5bo$103bo3bo7bo
bo4b2o17b2o4bobo7bo3bo$98bo4bo7bo8b2obobo13bobob2o8bo7bo4bo$119bobobo
17bobobo$99b2o8b2o10bo3bo13bo3bo10b2o8b2o$105bo13bo25bo13bo$102bo59bo$
101bobo4b2o45b2o4bobo$98b2o4bo55bo4b2o$103bo6bo43bo6bo$97bo8bo51bo8bo$
102bo3bo51bo3bo$102bo5bo47bo5bo$100bo63bo!

[H. H. P. M. P. Cole]

Here is a (trivial) finite p24 oscillator that is "as close to being isotropically endemic to Seeds as one could get":

Nice! Reduction:

Code: Select all

x = 189, y = 220, rule = B2/S
4bo61bo$6bo3bo49bo3bo$4bobobo53bobobo$5b2obobo49bobob2o$obo4b2o53b2o4b
obo$3bo7bobo43bobo7bo$b3o3bo55bo3b3o$4bob2o3b2o45b2o3b2obo$2b3o7b2o9b
o23bo9b2o7b3o$21b2o4bo15bo4b2o$bobo8bobo13b2o11b2o13bobo8bobo$5bobo11b
ob2o25b2obo11bobo$7bobobo7bob3o4b3o9b3o4b3obo7bobobo$5bo3bobo6bo3bobo
5bo9bo5bobo3bo6bobo3bo$23bo2bobo2bo7bo2bobo2bo$12bobo11bo17bo11bobo$24b
2o19b2o$12b2o5bo9bo2bo5bo2bo9bo5b2o$13b2o5bobobo6bo7bo6bobobo5b2o$20b
obo5b4o7b4o5bobo108bo$13bobo6b2o6bo9bo6b2o6bobo103bo2bo4bo$24bo5bo9bo
5bo112bob2o8bo2bo$10bobo15b4o7b4o15bobo93bo5bo3bo4bob2o$31bo7bo116bo6b
o8bobo$11b2o16bo2bo5bo2bo16b2o96bo2bo6bobo2bobo$123bo3bo23bo5bo4bo3b2o
$12b2o43b2o62bobo4b2o33bo2b3o2b2o2bobo$30bo2bo3bo2bo82bo4b2o22b2o9bo2b
obo2b2o$11bobo5bo11bo7bo11bo5bobo57bo5bobo4bo23bo3bobobo12b2o$17bo13b
o7bo13bo62bo3bo40bo4bobo2b2o$15b2o2bo12bo5bo12bo2b2o95b2o3bo3bo5b3o3b
6o$17bo4bobo7bo5bo7bobo4bo62bo46b4o8bo2bo$14bobo4bo8bo2bo3bo2bo8bo4bo
bo60bo3bo3bo4bo19bo4bo3bo9bo$19bo2b2o23b2o2bo71bo4b2o25bo3bo3b3obo2bo
4bo$21bo27bo78b2o23bo6bo2bo5b2ob4o3bo$19bo5bobo3bo2bobo2bo3bobo5bo63b
o11bo31b2o8bo2b2obo$32bo5bo78bo44bo7b2o2b2ob2o$25b2o5bo5bo5b2o69bo2b2o
37bobo2bobo2bob2o4bo$33bo3bo79bo4bo4bo29bobo12bo$26b2o5b2ob2o5b2o66bo
bo6b2o8bo25bo4bo7bo4b3o$33bo3bo76bobobo2bo2b2o5b2o16bo27b2obo$26bobo3b
o5bo3bobo67b2o5b2obo2bo25bo11b2o3b2o$32bo5bo75bo2b2obobo2bo5bo17bo2b2o
4bobo9bo4bo3bo$31bo2bobo2bo71b3o8bo27bo2bo4bo6bo$25bobo15bobo68bo8bob
o4bobo18bo8bo$106bobo13bo12bo10bobo5b4o16bo2bo$26b2o2bo2bo3bo2bo2b2o64b
o3bo17bo20b3o8bo11bo$32bo5bo68b3ob2o4b2o2bobo2b2o3bob2o12b2o3bobo4b3o
13b4o$27b6o5b6o64b2o2b2o16bo28bo3b2o11bo5bo$26bo2bo11bo2bo68bo8bo25b2o
2bobo12bo8bo6b2o$32b7o68bobo7b2o3bo6bo22b2obob2o5b2o9b4o5bobo$29bo5bo
5bo68b2o10b2o6bobob2o11bobo4bo6bo2b2obo7bo6bobobo$29b3o7b3o74bo8bo5bo
22b2ob2o3bo2b2o7bo2bo9bo$25bo2bo3bo2bo2bo3bo2bo64b2o4bob2o9b2obo3bo14b
2o9bo18b2o$26bo3b11o3bo64b3o7bo2b3o2bo34bo2bo14bo$26bob2o11b2obo58bo15b
o3bo27b2o2bob2obobo4b2o6bo2bobo2bo$28bo3bo5bo3bo65bo20b2o16bobo5bob2o
bo2bo12bo5bobo3bo$31bo7bo64b2o4bo3b2o2bo4bo45bo6b3o4b3obo$31bo7bo68bo
b2o4bobo12bo16b4obo11bo18b2obo$27bo2bo2b5o2bo2bo65bo8bo2bo4b2o37bo11b
2o$28bo3bo2bo2bo3bo65bo9bo2bo25b2o2bo4b3o8bo11bo4b2o$28bob2o7b2obo61b
ob2o4bobo2b2o2bobo28bo5b4o21bo$30bo4bo4bo70bo2bo3bo5bo7bo13bobo3b3o3b
o2bo$30bo3b3o3bo59bo4bo13bo7b2o23bo2bo$30b2ob2ob2ob2o61bo6bo3bo6bob2o
6b2obo16b2o7bobo$30bo3b3o3bo61bo2bo5bo5b3o9bo26bo2b3o$30bo4bo4bo62bo5b
o7bo2bo3bo24bobo4b4o$28bob2o7b2obo56bo20b2o3bo3bo25bobo5bo$28bo3bo2bo
2bo3bo64b2o4b2o4bo3bo6bob2o21bobo4b2obo$27bo2bo2b5o2bo2bo56b2o3bo6bo3b
o10bobo20bo2bo2b4o5bo$31bo7bo62bo12bo2bo11bo3bo18bo2bo6bo2bo$31bo7bo62b
obo6bo6bobo2bo4bo29bo$28bo3bo5bo3bo56b2o4bob3o4bo9bobo26b3o6b5obo$26b
ob2o11b2obo59bo6b3o2b2o6bobo26bo3bo5bo4bo$26bo3b11o3bo53bo5bo8bo3bo40b
o7bo2bo$25bo2bo3bo2bo2bo3bo2bo56bo3bo5b3ob2ob2o5b2o21bo2bo5b2ob2o$29b
3o7b3o60bo3b2o3bo38bo7b3o$29bo5bo5bo57bo7bo2bo10bo3bobo22b3o6b2o6bo2b
o$32b7o68bo45b3o4bo4b2o2bo$26bo2bo11bo2bo56bo10bob2o12bobo18b2o8bo5bo
2b2o$27b6o5b6o59b3obo4bo6bo2bo30b2o7bo5bo$32bo5bo73bo3bo3bo7b2o18bobo
2bo4bobo2b3o$26b2o2bo2bo3bo2bo2b2o56bo18b4o32bo$112bo10bo5b2o21bo5b3o
b3o$25bobo15bobo62b2o3bo7bo2bo34b5o3bo$31bo2bobo2bo64b2o7bo14bobo5bo14b
ob2o7bo3bo$32bo5bo65bo9bo19bo21bo9bo$26bobo3bo5bo3bobo56bo2bo2bo3bo20b
2o2bo25bo2bo$33bo3bo63bob2obo15bo2bo8bo4bobo14bo11bobo$26b2o5b2ob2o5b
2o55bo3bo2bo2b3o2bo7bo7bobo4bo12b2obo$33bo3bo67b3obo13b4o9bo2b2o14bo3b
2o7b2o$25b2o5bo5bo5b2o61bobo3bo12bo11bo11bo3bo3bobo$32bo5bo54bo7bo4bo
2bob3o10bo2bo8bo5bobo10b2o3bo8b2o$19bo5bobo3bo2bobo2bo3bobo5bo43bo6bo
bo51bo2b2o$21bo27bo43bo2b2o4bo3bo8bo26b2o9bob2obo10bobo$19bo2b2o23b2o
2bo42bo2bo64bobo$14bobo4bo8bo2bo3bo2bo8bo4bobo38bo5bo2b2ob2o16bo2bo14b
2o10b2o7bobobo$17bo4bobo7bo5bo7bobo4bo36bobo5b3o3bo6bo2bo11bo35bo3bob
o$15b2o2bo12bo5bo12bo2b2o40b3o4b2o8bo12b4o13bobo8bobo$17bo13bo7bo13bo
37b2o3bobob6o7bo15bo39bobo$11bobo5bo11bo7bo11bo5bobo37bo2bo2bo2b2o4bo
14bo2bo$30bo2bo3bo2bo49b2o8b2o2bo7bo29bobo11bobo10b2o$12b2o43b2o40bob
o6bo2bo2bo$89bobo2bo2b3o2bo23bo2bo13b2o11b2o12b2o$11b2o16bo2bo5bo2bo16b
2o37b2o3b3o23bo$31bo7bo52bo6bo2bobobo2bo15b4o10bobo4bobo3bobo4bobo7bo
bo$10bobo15b4o7b4o15bobo38bo6bo2b2o2bo7bo5bo$24bo5bo9bo5bo44bob2o6bo2b
obo2bo2bo6b2o6bo12b2o4b2o5b2o4b2o11bobo3bo$13bobo6b2o6bo9bo6b2o31bo14b
o10bo2b2obo4bobo5b4o12b2o15b2o12bobobo$20bobo5b4o7b4o5bobo6bobo14bo3b
o19bo11bo6bobobo6bo18b2o3b2o22bobo$13b2o5bobobo6bo7bo6bobobo25bobobo13b
o5bo2bo12bo9bo2bo11bobo13bobo9bobo8bobo$12b2o5bo9bo2bo5bo2bo9bo6b2o14b
obob2o11b2o5bo2bo5bo2b2o9b2o23bobo3bobo$24b2o19b2o29b2o4bobo17b2obobo
bo13bo25b3o18b2o7b3o$12bobo11bo17bo14b2o10bobo7bo8bo5b2ob2o2bo16bo2bo
bo2bo11bobo6bobo6bobo10b2o3b2obo$23bo2bobo2bo7bo2bobo2bo29bo3b3o10bo8b
o2b2o7bo3bobo5bo48bo3b3o$5bo3bobo6bo3bobo5bo9bo5bobo3bo6bobo10b2o3b2o
bo13bo4b3obobo10bob3o4b3o13b2o6bobo6b2o10bobo7bo$7bobobo7bob3o4b3o9b3o
4b3obo19b2o7b3o7bo8bo3bo12bob2o29bobo23b2o4bobo$5bobo11bob2o25b2obo47b
o3bo21b2o15b2o2bo3bo3bo2b2o14bobob2o$bobo8bobo13b2o11b2o15bobo9bobo8b
obo7b2o5b4o16b2o4bo21bo2b3o2bo20bobobo$21b2o4bo15bo4b2o27bobo18bob2o18b
o21b2o4b2ob2o4b2o14bo3bo$2b3o7b2o9bo23bo11b2o12bobobo19bo3bo37bobo3bo
bobobobobo3bobo17bo$4bob2o3b2o60bobo3bo22b2o43bo5bo$b3o3bo52b2o28b2o48b
2o8bo8b2o$3bo7bobo56bobo29bo38b2o7bo7b2o$obo4b2o51bobo24bo4bo5bo2b2ob
o45bo$5b2obobo60b2o26bo4bo35bobo3bo7bo3bobo$4bobobo79b2o9bob2o2bo37b2o
4bobo4b2o$6bo3bo48bobo10b2o27bo45b2o3b2o$4bo33bo104bobo9bobo$40bo5bo13b
2o9bobo26b2o2bo9bo27b3o11b3o$40bo3bo42b2o13bobobo5b2o3bo6bo19bo4b3o4b
o$35bo8bo16b2o47bobo5b2o2b2o3bo13bobo3bo5bo3bobo$41bo6bo23bobo9bo4bo14b
2o6bobo4b4o5b2o16bo7bo$36b2o4bo18bobo42bo4b2o4bobo2bobo4bobo14bo7bo$39b
obo4b2o24b2o11b2o23bo8bo2bo4bobobo15bo5bo$40bo91bo16b3o$43bo16bobo8b2o
53b2o19bo5bo$37b2o8b2o76bo20bo7bo$61b2o7bobo11b2o34bo2bobo2bo17bo7bo$
36bo4bo7bo71bo5bobo3bo7bobo3bo5bo3bobo$41bo3bo16b2o17bo4bo34b3o4b3obo
11bo4b3o4bo$39bo5bo25bobo55b2obo9b3o11b3o$49bo12bobo17b2o38b2o19bobo9b
obo$71b2o51bo4b2o16b2o3b2o$47b2o79bo14b2o4bobo4b2o$61bobo8b2o66bobo3b
o7bo3bobo$81b2o67bo$46b2o14b2o7bobo67b2o7bo7b2o$78bo4bo56b2o8bo8b2o$45b
o4bo7bobo4bobo79bo5bo$72bobo4b2o58bobo3bobobobobobo3bobo$48b2o9b2o4b2o
75b2o4b2ob2o4b2o$60b2o10b2o72bo2b3o2bo$66b2o3b2o9bobo57b2o2bo3bo3bo2b
2o$51bobo6bobo15b2obo67bobo$47b2obo14bobo3bobo8b2o57b2o6bobo6b2o$51b2o
4bobo8b3o6bo3bo$46bo3bo17bobo11bo57bobo6bobo6bobo$51bo6b2o26bo62b3o$63b
o4bobo2bo5bo66bobo3bobo$42bo3bo12b2o7bobo7bob2o2b2o55bobo13bobo$42bob
o3b3o9bo4b2o7b2o5b2o64b2o3b2o$41bo4bo14bo3bo12bo3bo58b2o15b2o$52bob3o
bo6bo8bo3b2o3b2o55b2o4b2o5b2o4b2o$70b2o$40bo4bo21bo17bo53bobo4bobo3bo
bo4bobo$41bobo3b3obo9b2o11b2o3bo$41bo3bo16bo4bo7bo67b2o11b2o$57b2o2bo
5bo4bo$52b2o2bobo8bo8b2o64bobo11bobo$53bo3bobo$46bobo3bobo12bob3obo4b
o66bobo5bobo$49bo7bo4b2o$47b4o4bobo4bobo8bo71b2o7b2o$50b3o10b2o8bo70b
2o9b2o$46b2o2bobo16bo3bo5bo$57bobo84bobo7bobo$45bobo2bobo2bo3bo7b2o4b
o3b2o$52bo5bo17bo60bo3bobo13bobo3bo$48bo3bo4bo4b2o2bo4bo10bo56bobobo13b
obobo$51bo2bo2b3o5b2o6bo3bo59bobo21bobo$48b2o4bo2b3o2b2o8b4o4b2o51bob
o8bobo7bobo8bobo$45bobo5b5o2bo3b3o7bo$51b2obo2bo6bo4b2o3b2obo56b3o7b2o
9b2o7b3o$46b2o12b2o6bo2bo64bob2o3b2o11b2o3b2obo$47b2o2b2obobo6bo4bo3b
o6bobo51b3o3bo21bo3b3o$51bobob2o4b2obo4bo2bo3bobo56bo7bobo9bobo7bo$46b
obo6bo10bo3b2o7b2o51bobo4b2o19b2o4bobo$51bobobo2bob2o2bobo9bobo58b2ob
obo15bobob2o$50bo2bobo5b3obo7b2o2b3o56bobobo19bobobo$50bo2bo8bo5b3obo
6bo58bo3bo15bo3bo$49bo2bo5bo6bo9bobo2bo55bo27bo$56bo2bo2bo8bo$53bo6b5o
5bobo$54b2o3b2o6bo3bo9bo$57bo8bo4bo3bo$51bobo6bo5bo3bo2bo3b3o$54bo7b3o
2b2o4bo5bo$52bo3bo2bo2bo9bo2bo10bo$51b2o4bobo7bob2ob5o3bo3bo$53bo3bo3b
o8bobo11bo$50bobo2bo3b2o9bo4b2o4bo6bo$57bobo4b2o3bo4bo2b2o3bo$63bo10b
o5b2o4b2o$53bobo2bo6bo2bo7bo$63bo2b2obo2bo9bo$54bobo3bo11bo4bo$55bobo
4b2o3bo4bo3bo10b2o$53b2o4bo16bobo$55bobobo5b2o4bo17bo$52bobo3bobo6bo4b
3o5b2o$60bo4b2o6bobo3bo2bob2o$58bo3b2o5bo12bo$56b2o5bo4bobo4bo10bo$64b
o4b3o3b2o4bobo$55bo5bo2bo3b2obo2bo$60bo3bobo3b2o4bo5bo$60bo2bo8bo3bo$
58bo4bo8bo5bo3b2o$65bo4bo10bo!