Create your own terminology

[hth3]

Supersemiphoton: Any spaceship faster than c/2 but slower than c.
Force field: any FTL reaction (backformation from fast forward force field)
Supersemi force field: any faster-than-c/2-but-slower-than-c reaction.
Conservative cellular automaton (no relation with politics): Any CA that follows a specific conservation law, some examples being B/S012345678 (conservation of population/cells) and bounding-lined in, bounding-boxed in, and bounding-diamonded in rules (conservation of bounding line, bounding box, and bounding diamond).

[dvgrn]

The 2EC (as specified by b-engine) certainly has pseudo-soups, as small as 13x13. Are there any other patterns which are unnatural in any symmetry but have had engineered small predecessors?

I can't think of very many offhand. Probably there have been a few here and there.

Any small spaceship that fits in 16x16 and hasn't showed up in a real soup yet, can very easily be turned into a pseudosoup using LLS. There are so many of those that it doesn't seem all that interesting to collect examples.

Maybe the rarest and most impressive-looking cases are the ones like the 2EC, where the spaceship doesn't fit inside 16x16 -- but with enough cleverness it's possible to engineer something that "unfolds" out of a smaller bounding box into the full spaceship.

For example, I think a fireship is a minimally challenging member of the too-big-to-fit-in-16x16 club. It's technically 19 cells high at minimum, but a height-17 predecessor can be made just by removing the sparks at the key generation:

Code: Select all

x = 8, y = 17, rule = B3/S23
b2o2b2o$b2o2b2o$3o2b3o$3o2b3o2$o6bo$o2b2o2bo$b6o3$3b2o$2bo2bo$2b4o$b2o
2b2o$bo4bo$bo4bo$2b4o!

That has the look of something that should be able to expand out of a 10x16 box, maybe a little smaller.

[rabbit]

Here's 16x8 through manual fiddling:

Code: Select all

x = 8, y = 16, rule = B3/S23
b2o2b2o$3b2o$3b2o$obo2bobo$o6bo2$o6bo$b2o2b2o$2b4o2$3b2o$3bo2$bo4bo$2o
4b2o$b2o2b2o!

There's probably smaller predecessors through LLS.

[hth3]

Burnalong: Fuse tagalong.

Code: Select all

x = 119, y = 19, rule = B3/S23
bobo$o2bo$bo2bo2b2ob2o$2bo2bob2ob3o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b
2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o$5bo2bo4bobo2bobo2b
obo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2b
obo2bobo2bobo2bobo2bobo2bo$5bo2bo4bobo2bobo2bobo2bobo2bobo2bobo2bobo2b
obo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2b
o$2bo2bob2ob3o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o
3b2o3b2o3b2o3b2o3b2o3b2o3b2o$bo2bo2b2ob2o$o2bo$bobo4$7b2ob2o$7b2ob3o3b
2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o
3b2o3b2o3b2o$8bo4bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bo
bo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bo$8bo4bobo2bobo
2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bob
o2bobo2bobo2bobo2bobo2bobo2bo$7b2ob3o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o
3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o$7b2ob2o!

[b-engine]

Period density: the period of an oscillator/spaceship divided by the bounding box of it.

For example, blinker is p2 and has 3*3 = 9 BB, so its period density is 2/9 = 0.2222222222222.
The highest period density possible for a n-cell BB is 2^n/n.

[parrot]

Semi-trivial: an oscillator which has two different rotors interacting, but nonetheless has no cell which oscillates with the full period, e.g. trivial 6-1.

[J-NF373]

I am calling xp4_g88rb88c0cicz11x3dd11 "blinkily-dink"

[I6_I6]

Period density: the period of an oscillator/spaceship divided by the bounding box of it.

For example, blinker is p2 and has 3*3 = 9 BB, so its period density is 2/9 = 0.2222222222222.
The highest period density possible for a n-cell BB is 2^n/n.

How do you know?

[b-engine]

How do you know?

For example, a 4-cell bounding box has 2^4 = 16 possible phases.

Code: Select all

x = 14, y = 14, rule = LifeHistory
BA2.2B2.2B2.AB$2B2.BA2.AB2.2B3$BA2.2B2.AB2.2A$BA2.2A2.AB2.2B3$AB2.2A2.
2A2.BA$2A2.AB2.BA2.2A3$AB2.BA2.2B2.2A$BA2.AB2.2B2.2A!

No oscillators can exceed that limit.

Well, if the empty and full BB doesn't count, then it's (2^n/n)-1.

Also, please trim the quotes to leave only the relevant information you want to quote.

[b-engine]

I am calling xp4_g88rb88c0cicz11x3dd11 "blinkily-dink"

Not everything warrants its own name.
"Blinkly-dink" implies that it's associated with blinker, but it doesn't.

[Entity Valkyrie 2]

Assisted synthesis: a construction of an object whose initial configuration contains objects other than spaceships. This particularly applies to the construction of spaceships in spaceship guns. The additional object(s) could be a static object like a still life or oscillator, but it could also be an active region (like the output of a conduit). Here are several examples:

2G assisted synthesis of LWSS/MWSS, more specifically a pentadecathlon-assisted synthesis:

Code: Select all

x = 17, y = 55, rule = B3/S23
3bo$2bobo3$2b3o$2b3o$3bo3$3bo$2b3o10bo$2b3o9bo$14b3o2$2bobo$3bo5$bo$b
2o$obo10$3bo$2bobo3$2b3o$2b3o$3bo3$3bo$2b3o11bo$2b3o9b2o$15b2o2$2bobo$
3bo5$bo$b2o$obo!

9G assisted synthesis of X66 (used in this p184 X66 gun). The Tanner's p46 provides a phi spark that would normally take 3 gliders to produce:

Code: Select all

x = 53, y = 70, rule = B3/S23
2bo$obo$b2o$7bo$8bo41bo$6b3o41bobo$50b2o5$6bobo$7b2o$7bo3$46bobo$8bo
37b2o$6bobo32bo5bo$7b2o32bobo$41b2o30$24b3o$24b3o$24bo2bo$26bo$9b2o26b
o$10b2o24b2o$9bo26bobo2$15b2o$15b2o$24b2o7b2o$22bo2bo7bobo$14b2o4bo4bo
9bo$15bo3bo4bo10b2o$12b3o7bo$12bo13bo4b2o$25bobobo2bo$24bob2ob2o$24bo$
23b2o!

11G + 2H (or 11G + B + H) assisted synthesis of Crab (used in this p61 crab gun):

Code: Select all

x = 57, y = 52, rule = B3/S23
9b2o$9bo8b2obo$10b3o6b3o$12bo7bo2$18b2o$2bo15b2o$obo$b2o3$8bo$9bo$7b3o
5$44bo$43bobob2o$42bo2bobobo$16bo24bo3bo3bo$17b2o23b3ob3o$16b2o26bobo$
44bobob3o$45b2obo2bo$50b2o5$48b2o3b2o$47bobo3b4o$4b2o6b2o33bo3bo2bo$5b
2o4bobo33b2o3bo$4bo8bo38bo$51bo3$52b2o$52bo$11b3o23b3o13b3o$13bo23bo
17bo$6b2o4bo25bo$5bobo7b2o$7bo8b2o$15bo2$6b2o$5bobo25b2o$7bo24b2o$34bo
!

11G + H assisted synthesis of 25P3H1V0.1 (used in this p240 25P3H1V0.1 gun). The Herschel is used in a H-to-boat factory, the queen bee shuttle replaces one of the sparks, and the ship + 2 tubs (originally a blocker) removes the extraneous HF:

Code: Select all

x = 127, y = 117, rule = B3/S23
124bo$16bo107bobo$14bobo107b2o$15b2o103bo$118b2o$119b2o$108bo$107bo$
107b3o6$18bo33b2o$19b2o24bo6bo$18b2o20b3o3bo2bo4bo2b2o$39b5obo3b5obo2b
o$41bo13b2obob2o$40b2o5b4ob3o3bo2bo$40b2o5bo2bobo3b2obo$57bob2o$57bo$
56b2o5$37bo18b2o$37bobo17bo$37b3o17bob2o$39bo18bobo5$30b2o$31bo$28b3o$
28bo17$50b2o$46bo3bobo$45bobo3b2o$46bo2$50bo$49bobo$50bo4$59b2o$59b2o
3$59b3o$59b3o4$57b2o3b2o$58b5o$59b3o$60bo6$57b2o$58bo$55b3o$55bo4$2o$b
2o$o105bo$105b2o$105bobo11$110b2o$110bobo9b3o$110bo11bo$116b2o5bo$116b
obo$116bo2$123b2o$122b2o$124bo!

[grr]

A hyperperiodic oscillator is an oscillator which has very large period and which cycle can't be simulated but can be proven

Example period: Graham's number

[Rhombic]

Cardinality. If a pattern exists in 2^N rules (within a given rulespace - totalistic isotropic, non-totalistic, etc), it can be said to have a cardinality of N. Endemic patterns by definition have a cardinality of 0 (2^0 rules). Generally, this statistically scales with population and number of generations and decreases with symmetry (static or dynamic) as in xq56_0e9dlicz24kk8, but even some complex patterns can have pretty high cardinality (such as xp120_367, with 40 unique generations) whereas some surprisingly small patterns are sometimes known to be endemic.

[synperiplanar]

Endemic patterns by definition have a cardinality of 0 (2^0 rules).

1
edit: oh wait im dumb

[Entity Valkyrie 2]

A hyperperiodic oscillator is an oscillator which has very large period and which cycle can't be simulated but can be proven

Example period: Graham's number

But... at what point does the period get high enough that the oscillator can be called hyperperiodic? A theoretical simulator with infinite time could run through the period of any finite-period oscillator, meaning that the cutoff period (when an oscillator becomes hyperperiodic) would be arbitrary/artificial.

[J-NF373]

I am calling xp4_g88rb88c0cicz11x3dd11 "blinkily-dink"

Not everything warrants its own name.
"Blinkly-dink" implies that it's associated with blinker, but it doesn't.

Okay i'll call it "Liam's p4"

[WhiteHawk]

I am calling xp4_g88rb88c0cicz11x3dd11 "blinkily-dink"

Not everything warrants its own name.
"Blinkly-dink" implies that it's associated with blinker, but it doesn't.

Okay i'll call it "Liam's p4"

I don't think it needs a name, especially since (1) I don't think it's your discovery - oscillators are usually named after their discoverer, (2) it has minimal previous usage or historical significance.

[B468S02357]

Zipliner: Signals that recreate their wire without a displacement
Edit:

Yes, here you are, 14c/72 diagonal:

Code: Select all

#C [[ TRACK -14/72 -14/72 ZOOM -2 ]]
x = 735, y = 735, rule = B3-cy/S23-cy4e6k
600bo$599b4o$602bo$597bob3ob2o$596b2ob2o3bo$598bo3bobo$598b2o2b2o$591b
3o$589b2ob2o$589b2o$582bo7b5o$581b2o10b2o11bo$580bo21b3o$581b2o3b2o14b
obo$582bo3b2o2b3o5b2o2bobobo5b2o$590b3o6b2obo2b2o5b2o$600b2o4bo$601bo
7$669b2o$669b2o3$625bo25b3o$624bobo24bobo$562bo61bobo22bo3bo$561bobo
28b3o30bo23bobobo19bo$560b2ob2o26bob2o53bo4bob2o15bo$591bo57b3o2b3o13b
2obo$592bo61b2o13bo5bo$592bo3bo48b3ob3o17bo5bo$563b2o28bobo71bo5bobob
2o$563b2o80b3ob3o5bo8b2o2b2o5b2o$656bo$558b2o89b3ob2o26b3o$558b3o3b2o
82bo4bob2o24b3o$557bo2bo3b2o16b2o65bobobob2o$557b2obo3b2o15bo2b2o53bo
9bo3bo$557b2ob2o19b2o3bo51bobo10bobo$560b2o19b2o55bobo10b3o$586bo52bo$
554bo30bo$552b3o$555b2o7bo$551bobob2o7b2o$551b2o12b2o96bo$549b2o15b2o
93b2ob2o$547bo2bo3b3o5b4o95bo34bo$547bobo4b2o6bo99b2o2bo28bobo$546b2o
4b2o8b3o99bo3bo26bobo$548b2o2b2o11bo99b4o27bo$548b2o2bo8bo2b3o100b2o$
541b3o$539b2ob2o$539b2o$532bo7b5o155bo$531b2o10b2o11bo11b2o129b4o$530b
o21b3o13b2o132bo$531b2o3b2o14bobo142bob3ob2o$532bo3b2o2b3o5b2o2bobobo
139b2ob2o3bo$540b3o6b2obo2b2o141bo3bobo$550b2o4bo141b2o2b2o6bo$551bo
139b3o15bobo$561b2o126b2ob2o15bobo$561b2o126b2o19bo$682bo7b5o$681b2o
10b2o11bo$680bo21b3o$681b2o3b2o14bobo$682bo3b2o2b3o5b2o2bobobo5b2o$
690b3o6b2obo2b2o5b2o$700b2o4bo$701bo3$512bo$511bobo28b3o$510b2ob2o26bo
b2o$541bo$542bo$542bo3bo$513b2o28bobo$513b2o$684b2o$508b2o174b2o$508b
3o3b2o$507bo2bo3b2o16b2o$507b2obo3b2o15bo2b2o$507b2ob2o19b2o3bo$510b2o
19b2o$536bo$504bo30bo$502b3o$505b2o7bo$501bobob2o7b2o$501b2o12b2o182b
2o$499b2o15b2o180bo2bo$497bo2bo3b3o5b4o183b2o$497bobo4b2o6bo$496b2o4b
2o8b3o$498b2o2b2o11bo$498b2o2bo8bo2b3o$491b3o$489b2ob2o$489b2o$482bo7b
5o$481b2o10b2o11bo11b2o$480bo21b3o13b2o$481b2o3b2o14bobo$482bo3b2o2b3o
5b2o2bobobo206b2o$490b3o6b2obo2b2o205bo2bo$500b2o4bo206b2o$501bo$511b
2o$511b2o11$462bo266bo$461bobo28b3o232bobo$460b2ob2o26bob2o$491bo236b
2o$492bo234bob2o$492bo3bo229b4obo$463b2o28bobo230b2ob2o$463b2o254b3o$
717b2ob2o$458b2o257b2o$458b3o3b2o244bo7b5o$457bo2bo3b2o16b2o225b2o10b
2o11bo$457b2obo3b2o15bo2b2o222bo21b3o$457b2ob2o19b2o3bo222b2o3b2o14bob
o$460b2o19b2o227bo3b2o2b3o5b2o2bobobo$486bo231b3o6b2obo2b2o$454bo30bo
242b2o4bo$452b3o274bo$455b2o7bo$451bobob2o7b2o$451b2o12b2o$449b2o15b2o
$447bo2bo3b3o5b4o$447bobo4b2o6bo$446b2o4b2o8b3o$448b2o2b2o11bo$448b2o
2bo8bo2b3o227bo$441b3o249bobo20b2o$439b2ob2o248b2ob2o19b2o$439b2o$432b
o7b5o$431b2o10b2o11bo11b2o$430bo21b3o13b2o225b2o$431b2o3b2o14bobo240b
2o$432bo3b2o2b3o5b2o2bobobo252b2o$440b3o6b2obo2b2o233b2o17b2o$450b2o4b
o233b3o3b2o$451bo237bo2bo3b2o$461b2o226b2obo3b2o$461b2o226b2ob2o$692b
2o2$686bo$684b3o$687b2o7bo$683bobob2o7b2o$683b2o12b2o$681b2o15b2o$679b
o2bo3b3o5b4o$679bobo4b2o6bo$412bo265b2o4b2o8b3o$411bobo28b3o235b2o2b2o
11bo$410b2ob2o26bob2o235b2o2bo8bo2b3o$441bo231b3o$442bo228b2ob2o$442bo
3bo224b2o$413b2o28bobo218bo7b5o$413b2o248b2o10b2o11bo11b2o$662bo21b3o
13b2o$408b2o253b2o3b2o14bobo$408b3o3b2o248bo3b2o2b3o5b2o2bobobo$407bo
2bo3b2o16b2o238b3o6b2obo2b2o$407b2obo3b2o15bo2b2o246b2o4bo$407b2ob2o
19b2o3bo246bo$410b2o19b2o260b2o$436bo256b2o$404bo30bo$402b3o$405b2o7bo
$401bobob2o7b2o$401b2o12b2o$399b2o15b2o$397bo2bo3b3o5b4o232bo$397bobo
4b2o6bo234bobo20b2o$396b2o4b2o8b3o231b2ob2o19b2o$398b2o2b2o11bo$398b2o
2bo8bo2b3o$391b3o$389b2ob2o255b2o$389b2o258b2o$382bo7b5o268b2o$381b2o
10b2o11bo11b2o224b2o17b2o$380bo21b3o13b2o224b3o3b2o$381b2o3b2o14bobo
238bo2bo3b2o$382bo3b2o2b3o5b2o2bobobo236b2obo3b2o$390b3o6b2obo2b2o236b
2ob2o$400b2o4bo239b2o$401bo$411b2o227bo$411b2o225b3o$641b2o7bo$637bobo
b2o7b2o$637b2o12b2o$635b2o15b2o$633bo2bo3b3o5b4o$633bobo4b2o6bo$632b2o
4b2o8b3o$634b2o2b2o11bo$634b2o2bo8bo2b3o$627b3o$362bo262b2ob2o$361bobo
28b3o230b2o$360b2ob2o26bob2o223bo7b5o$391bo225b2o10b2o11bo11b2o$392bo
223bo21b3o13b2o$392bo3bo220b2o3b2o14bobo$363b2o28bobo222bo3b2o2b3o5b2o
2bobobo$363b2o261b3o6b2obo2b2o$636b2o4bo$358b2o277bo$358b3o3b2o281b2o$
357bo2bo3b2o16b2o263b2o$357b2obo3b2o15bo2b2o$357b2ob2o19b2o3bo$360b2o
19b2o$386bo$354bo30bo$352b3o$355b2o7bo237bo$351bobob2o7b2o235bobo20b2o
$351b2o12b2o233b2ob2o19b2o$349b2o15b2o$347bo2bo3b3o5b4o$347bobo4b2o6bo
$346b2o4b2o8b3o238b2o$348b2o2b2o11bo237b2o$348b2o2bo8bo2b3o250b2o$341b
3o254b2o17b2o$339b2ob2o254b3o3b2o$339b2o256bo2bo3b2o$332bo7b5o252b2obo
3b2o$331b2o10b2o11bo11b2o227b2ob2o$330bo21b3o13b2o230b2o$331b2o3b2o14b
obo$332bo3b2o2b3o5b2o2bobobo237bo$340b3o6b2obo2b2o235b3o$350b2o4bo238b
2o7bo$351bo239bobob2o7b2o$361b2o228b2o12b2o$361b2o226b2o15b2o$587bo2bo
3b3o5b4o$587bobo4b2o6bo$586b2o4b2o8b3o$588b2o2b2o11bo$588b2o2bo8bo2b3o
$581b3o$579b2ob2o$579b2o$572bo7b5o$571b2o10b2o11bo11b2o$312bo257bo21b
3o13b2o$311bobo28b3o226b2o3b2o14bobo$310b2ob2o26bob2o227bo3b2o2b3o5b2o
2bobobo$341bo238b3o6b2obo2b2o$342bo247b2o4bo$342bo3bo244bo$313b2o28bob
o255b2o$313b2o286b2o2$308b2o$308b3o3b2o$307bo2bo3b2o16b2o$307b2obo3b2o
15bo2b2o$307b2ob2o19b2o3bo$310b2o19b2o223bo$336bo218bobo20b2o$304bo30b
o218b2ob2o19b2o$302b3o$305b2o7bo$301bobob2o7b2o$301b2o12b2o240b2o$299b
2o15b2o239b2o$297bo2bo3b3o5b4o255b2o$297bobo4b2o6bo239b2o17b2o$296b2o
4b2o8b3o237b3o3b2o$298b2o2b2o11bo235bo2bo3b2o$298b2o2bo8bo2b3o234b2obo
3b2o$291b3o257b2ob2o$289b2ob2o260b2o$289b2o$282bo7b5o253bo$281b2o10b2o
11bo11b2o226b3o$280bo21b3o13b2o229b2o7bo$281b2o3b2o14bobo240bobob2o7b
2o$282bo3b2o2b3o5b2o2bobobo238b2o12b2o$290b3o6b2obo2b2o236b2o15b2o$
300b2o4bo234bo2bo3b3o5b4o$301bo239bobo4b2o6bo$311b2o227b2o4b2o8b3o$
311b2o229b2o2b2o11bo$542b2o2bo8bo2b3o$535b3o$533b2ob2o$533b2o$526bo7b
5o$525b2o10b2o11bo11b2o$524bo21b3o13b2o$525b2o3b2o14bobo$526bo3b2o2b3o
5b2o2bobobo$534b3o6b2obo2b2o$262bo281b2o4bo$261bobo28b3o250bo$260b2ob
2o26bob2o260b2o$291bo263b2o$292bo$292bo3bo$263b2o28bobo$263b2o2$258b2o
$258b3o3b2o244bo$257bo2bo3b2o16b2o225bobo20b2o$257b2obo3b2o15bo2b2o
222b2ob2o19b2o$257b2ob2o19b2o3bo$260b2o19b2o$286bo$254bo30bo225b2o$
252b3o256b2o$255b2o7bo260b2o$251bobob2o7b2o240b2o17b2o$251b2o12b2o239b
3o3b2o$249b2o15b2o237bo2bo3b2o$247bo2bo3b3o5b4o239b2obo3b2o$247bobo4b
2o6bo242b2ob2o$246b2o4b2o8b3o243b2o$248b2o2b2o11bo$248b2o2bo8bo2b3o
235bo$241b3o256b3o$239b2ob2o259b2o7bo$239b2o258bobob2o7b2o$232bo7b5o
254b2o12b2o$231b2o10b2o11bo11b2o227b2o15b2o$230bo21b3o13b2o225bo2bo3b
3o5b4o$231b2o3b2o14bobo240bobo4b2o6bo$232bo3b2o2b3o5b2o2bobobo237b2o4b
2o8b3o$240b3o6b2obo2b2o239b2o2b2o11bo$250b2o4bo239b2o2bo8bo2b3o$251bo
237b3o$261b2o224b2ob2o$261b2o224b2o$480bo7b5o$479b2o10b2o11bo11b2o$
478bo21b3o13b2o$479b2o3b2o14bobo$480bo3b2o2b3o5b2o2bobobo$488b3o6b2obo
2b2o$498b2o4bo$499bo$509b2o$509b2o$212bo$211bobo28b3o$210b2ob2o26bob2o
$241bo$242bo$242bo3bo$213b2o28bobo218bo$213b2o248bobo20b2o$462b2ob2o
19b2o$208b2o$208b3o3b2o$207bo2bo3b2o16b2o$207b2obo3b2o15bo2b2o229b2o$
207b2ob2o19b2o3bo228b2o$210b2o19b2o246b2o$236bo223b2o17b2o$204bo30bo
224b3o3b2o$202b3o254bo2bo3b2o$205b2o7bo244b2obo3b2o$201bobob2o7b2o243b
2ob2o$201b2o12b2o245b2o$199b2o15b2o$197bo2bo3b3o5b4o240bo$197bobo4b2o
6bo241b3o$196b2o4b2o8b3o242b2o7bo$198b2o2b2o11bo237bobob2o7b2o$198b2o
2bo8bo2b3o236b2o12b2o$191b3o257b2o15b2o$189b2ob2o255bo2bo3b3o5b4o$189b
2o258bobo4b2o6bo$182bo7b5o253b2o4b2o8b3o$181b2o10b2o11bo11b2o230b2o2b
2o11bo$180bo21b3o13b2o230b2o2bo8bo2b3o$181b2o3b2o14bobo238b3o$182bo3b
2o2b3o5b2o2bobobo234b2ob2o$190b3o6b2obo2b2o234b2o$200b2o4bo227bo7b5o$
201bo231b2o10b2o11bo11b2o$211b2o219bo21b3o13b2o$211b2o220b2o3b2o14bobo
$434bo3b2o2b3o5b2o2bobobo$442b3o6b2obo2b2o$452b2o4bo$453bo$463b2o$463b
2o5$162bo$161bobo28b3o$160b2ob2o26bob2o223bo$191bo225bobo20b2o$192bo
223b2ob2o19b2o$192bo3bo$163b2o28bobo$163b2o$419b2o$158b2o259b2o$158b3o
3b2o267b2o$157bo2bo3b2o16b2o230b2o17b2o$157b2obo3b2o15bo2b2o228b3o3b2o
$157b2ob2o19b2o3bo226bo2bo3b2o$160b2o19b2o230b2obo3b2o$186bo226b2ob2o$
154bo30bo230b2o$152b3o$155b2o7bo245bo$151bobob2o7b2o242b3o$151b2o12b2o
244b2o7bo$149b2o15b2o239bobob2o7b2o$147bo2bo3b3o5b4o241b2o12b2o$147bob
o4b2o6bo242b2o15b2o$146b2o4b2o8b3o238bo2bo3b3o5b4o$148b2o2b2o11bo237bo
bo4b2o6bo$148b2o2bo8bo2b3o235b2o4b2o8b3o$141b3o260b2o2b2o11bo$139b2ob
2o260b2o2bo8bo2b3o$139b2o256b3o$132bo7b5o250b2ob2o$131b2o10b2o11bo11b
2o225b2o$130bo21b3o13b2o218bo7b5o$131b2o3b2o14bobo232b2o10b2o11bo11b2o
$132bo3b2o2b3o5b2o2bobobo229bo21b3o13b2o$140b3o6b2obo2b2o230b2o3b2o14b
obo$150b2o4bo231bo3b2o2b3o5b2o2bobobo$151bo244b3o6b2obo2b2o$161b2o243b
2o4bo$161b2o244bo$417b2o$417b2o7$372bo$371bobo20b2o$112bo257b2ob2o19b
2o$111bobo28b3o$110b2ob2o26bob2o$141bo$142bo230b2o$142bo3bo226b2o$113b
2o28bobo241b2o$113b2o253b2o17b2o$368b3o3b2o$108b2o257bo2bo3b2o$108b3o
3b2o251b2obo3b2o$107bo2bo3b2o16b2o233b2ob2o$107b2obo3b2o15bo2b2o234b2o
$107b2ob2o19b2o3bo$110b2o19b2o231bo$136bo225b3o$104bo30bo229b2o7bo$
102b3o256bobob2o7b2o$105b2o7bo246b2o12b2o$101bobob2o7b2o243b2o15b2o$
101b2o12b2o240bo2bo3b3o5b4o$99b2o15b2o239bobo4b2o6bo$97bo2bo3b3o5b4o
240b2o4b2o8b3o$97bobo4b2o6bo245b2o2b2o11bo$96b2o4b2o8b3o243b2o2bo8bo2b
3o$98b2o2b2o11bo235b3o$98b2o2bo8bo2b3o232b2ob2o$91b3o255b2o$89b2ob2o
248bo7b5o$89b2o250b2o10b2o11bo11b2o$82bo7b5o245bo21b3o13b2o$81b2o10b2o
11bo11b2o221b2o3b2o14bobo$80bo21b3o13b2o222bo3b2o2b3o5b2o2bobobo$81b2o
3b2o14bobo245b3o6b2obo2b2o$82bo3b2o2b3o5b2o2bobobo253b2o4bo$90b3o6b2ob
o2b2o254bo$100b2o4bo264b2o$101bo269b2o$111b2o$111b2o5$326bo$325bobo20b
2o$324b2ob2o19b2o4$62bo264b2o$61bobo28b3o232b2o$60b2ob2o26bob2o246b2o$
91bo230b2o17b2o$92bo229b3o3b2o$92bo3bo224bo2bo3b2o$63b2o28bobo225b2obo
3b2o$63b2o256b2ob2o$324b2o$58b2o$58b3o3b2o252bo$57bo2bo3b2o16b2o232b3o
$57b2obo3b2o15bo2b2o233b2o7bo$57b2ob2o19b2o3bo228bobob2o7b2o$60b2o19b
2o232b2o12b2o$86bo226b2o15b2o$54bo30bo225bo2bo3b3o5b4o$52b3o256bobo4b
2o6bo$55b2o7bo245b2o4b2o8b3o$51bobob2o7b2o246b2o2b2o11bo$51b2o12b2o
245b2o2bo8bo2b3o$49b2o15b2o237b3o$47bo2bo3b3o5b4o237b2ob2o$47bobo4b2o
6bo240b2o$46b2o4b2o8b3o231bo7b5o$48b2o2b2o11bo229b2o10b2o11bo11b2o$48b
2o2bo8bo2b3o227bo21b3o13b2o$41b3o251b2o3b2o14bobo$39b2ob2o252bo3b2o2b
3o5b2o2bobobo$39b2o263b3o6b2obo2b2o$32bo7b5o269b2o4bo$31b2o10b2o11bo
11b2o245bo$30bo21b3o13b2o255b2o$31b2o3b2o14bobo270b2o$32bo3b2o2b3o5b2o
2bobobo$40b3o6b2obo2b2o$50b2o4bo$51bo$61b2o$61b2o$280bo$279bobo20b2o$
278b2ob2o19b2o4$281b2o$281b2o$295b2o$276b2o17b2o$12bo263b3o3b2o$11bobo
28b3o230bo2bo3b2o$10b2ob2o26bob2o230b2obo3b2o$41bo233b2ob2o$42bo235b2o
$42bo3bo$13b2o28bobo226bo$13b2o255b3o$273b2o7bo$8b2o259bobob2o7b2o$8b
3o3b2o253b2o12b2o$7bo2bo3b2o16b2o233b2o15b2o$7b2obo3b2o15bo2b2o229bo2b
o3b3o5b4o$7b2ob2o19b2o3bo228bobo4b2o6bo$10b2o19b2o231b2o4b2o8b3o$36bo
229b2o2b2o11bo$4bo30bo230b2o2bo8bo2b3o$3b2o254b3o$5b2o7bo242b2ob2o$bob
2obo7b2o241b2o$2ob2o10b2o233bo7b5o$bobo12b2o231b2o10b2o11bo11b2o$b2o2b
2o5b4o232bo21b3o13b2o$3bo2bo5bo236b2o3b2o14bobo$3b3o6b3o235bo3b2o2b3o
5b2o2bobobo$15bo242b3o6b2obo2b2o$11bo2b3o251b2o4bo$269bo$279b2o$279b2o
3$14b2o$14b2o3$234bo$233bobo20b2o$232b2ob2o19b2o4$235b2o$235b2o$29b2o
218b2o$28bo2bo198b2o17b2o$29b2o199b3o3b2o$229bo2bo3b2o$229b2obo3b2o$
229b2ob2o$232b2o2$226bo$224b3o$227b2o7bo$223bobob2o7b2o$223b2o12b2o$
221b2o15b2o$43b2o174bo2bo3b3o5b4o$42bo2bo173bobo4b2o6bo$43b2o173b2o4b
2o8b3o$220b2o2b2o11bo$220b2o2bo8bo2b3o$213b3o$211b2ob2o$35bobo173b2o$
35bobo166bo7b5o$35bobo165b2o10b2o11bo11b2o$32bo7bo161bo21b3o13b2o$30b
2obobobobob2o160b2o3b2o14bobo$33bobobobo164bo3b2o2b3o5b2o2bobobo$28b2o
bobobobobobob2o167b3o6b2obo2b2o$28bo15bo177b2o4bo$28b5o6b6o178bo$33b2o
4bo193b2o$32b3o5b2o191b2o$32b2o4bob2o$37bo4$51b2o$51bobo134bo$50bo2bo
133bobo20b2o$51bo2bo131b2ob2o19b2o$51bo3bo$37bo15bobo$36b2o17b2o$54b3o
132b2o$24b2o8b2o153b2o$24b2o7bo3bo165b2o$33bo3bo146b2o17b2o$32bo151b3o
3b2o$31bobo2bo146bo2bo3b2o$183b2obo3b2o$34b3o146b2ob2o$186b2o$36b2o$
36b2o142bo$178b3o$72bo108b2o7bo$39b2o30bobo103bobob2o7b2o$39b2o29b2ob
2o102b2o12b2o$39b2o134b2o15b2o$88b2o83bo2bo3b3o5b4o$88b2o83bobo4b2o6bo
$73b2o97b2o4b2o8b3o$73b2o99b2o2b2o11bo$174b2o2bo8bo2b3o$68b2o97b3o$68b
3o3b2o89b2ob2o$67bo2bo3b2o89b2o$67b2obo3b2o82bo7b5o$67b2ob2o85b2o10b2o
11bo11b2o$70b2o84bo21b3o13b2o$53b2o102b2o3b2o14bobo$52bo2bo8bo93bo3b2o
2b3o5b2o2bobobo$53b2o8b2o101b3o6b2obo2b2o$65b2o7bo26bo74b2o4bo$61bob2o
bo7b2o24bobo74bo$60b2ob2o10b2o23bobo84b2o$61bobo12b2o23bo85b2o$61b2o2b
2o5b4o$63bo2bo5bo$63b3o6b3o$75bo$71bo2b3o2$142bo$67b2o72bobo20b2o$66bo
2bo70b2ob2o19b2o$67b2o$74b2o39bo$74b2o38bobo$114bobo26b2o$115bo27b2o$
157b2o$138b2o17b2o$138b3o3b2o$137bo2bo3b2o$137b2obo3b2o$137b2ob2o$140b
2o4$135b2o7bo$131bo2b3o7b2o$133bobo9b2o$130b2ob4o9b2o$134bobo5b4o$135b
o6bo$142b3o$145bo$141bo2b3o!

Maybe bracelets, like this

Code: Select all

x = 1773, y = 1573, rule = B3-cy/S23-cy4e6k
930b4o$926b4o4b4o$922b4o12b4o$919b3o20b2o$917b2o25b2o$915b2o29bo$913b
2o32b2o$911b2o36bo$909b2o39b2o$907b2o43bo$905b2o46b2o$904bo50bo$902b2o
52b2o$901bo56bo$899b2o58b2o$898bo62bo$897bo64bo$895b2o65bo$894bo68bo$
893bo69bo$891b2o71bo$890bo73bo$889bo75bo$887b2o76bo$886bo79bo$885bo80b
o$885bo81bo$884bo82bo$883bo84bo$883bo84bo$882bo86bo$881bo87bo$881bo88b
o$880bo89bo$879bo91bo$878bo92bo$878bo93bo516b52o$877bo94bo508b8o52b2o
$876bo96bo499b8o62b3o$875bo97bo492b7o73b2o$874bo99bo485b6o82b3o$874bo
99bo479b6o91b2o$873bo101bo472b6o99b4o$872bo102bo467b5o109b4o$871bo104b
o461b5o118b4o$870bo105bo456b5o127b2o$870bo105bo451b5o134bo$869bo106bo
446b5o139bo$868bo108bo440b5o145bo$867bo109bo434b6o151bo$867bo109bo429b
5o157bo$866bo111bo422b6o163bo$866bo111bo417b5o170bo$865bo112bo411b6o175b
o$864bo113bo407b4o182bo$864bo114bo404b2o186bo$863bo115bo401b3o188bo$863b
o115bo399b2o192bo$862bo117bo395b3o194bo$861bo118bo393b2o197bo$861bo118b
o390b3o199bo$860bo119bo388b2o202bo$860bo120bo384b3o205bo$859bo121bo382b
2o208bo$858bo122bo379b3o210bo$858bo123bo376b2o213bo$628b44o185bo124bo
373b3o215bo$619b9o44bo184bo124bo371b2o219bo$610b9o54bo182bo125bo369b2o
221bo$604b6o64bo180bo127bo366b2o223bo$602b2o71bo179bo127bo364b2o225bo
$599b3o74bo177bo128bo362b2o227bo$597b2o78bo176bo129bo359b2o229bo$594b
3o81bo174bo130bo357b2o232bo$591b3o85bo172bo131bo354b3o234bo$589b2o89b
o171bo131bo352b2o237bo$586b3o92bo169bo133bo349b2o239bo$584b2o95bo169b
o133bo347b2o241bo$581b3o98bo167bo134bo345b2o243bo$578b3o101bo167bo135b
o342b2o246bo$575b3o105bo165bo136bo340b2o248bo$572b3o108bo165bo136bo338b
2o250bo$569b3o112bo164bo136bo336b2o252bo$566b3o115bo164bo137bo334bo254b
o$563b3o119bo162bo138bo332b2o255bo$560b3o123bo161bo138bo330b2o258bo$557b
3o126bo161bo138bo329bo260bo$555b2o130bo159bo140bo326b2o261bo$554bo132b
o159bo140bo325bo263bo$553bo134bo158bo140bo323b2o136b22o106bo$552bo135b
o158bo140bo322bo135b3o22b5o101bo$550b2o137bo156bo142bo319b2o132b4o30b
5o95bo$548b2o139bo156bo142bo317b2o131b3o39b3o92bo$546b2o142bo155bo142b
o316bo130b3o45b2o90bo$545bo145bo153bo143bo314b2o129b2o50b2o88bo$545bo
145bo153bo144bo312bo129b2o54b2o86bo$544bo147bo152bo144bo310b2o128b2o58b
2o84bo$544bo147bo152bo144bo309bo128b2o62b2o81bo$543bo149bo150bo145bo307b
2o127b2o66b2o79bo$543bo149bo150bo146bo304b2o128bo70bo78bo$543bo150bo149b
o146bo303bo128b2o72b2o76bo$542bo151bo148bo147bo301b2o127b2o76bo75bo$542b
o152bo147bo147bo300bo127b2o79bo74bo$542bo152bo147bo148bo297b2o127bo82b
2o71bo$541bo154bo145bo149bo296bo128bo85bo70bo$541bo154bo145bo149bo294b
2o128bo87bo69bo$541bo154bo145bo149bo293bo128b2o89bo68bo$540bo156bo143b
o151bo290b2o128bo92bo67bo$540bo156bo143bo151bo288b2o129bo94b2o64bo$540b
o156bo143bo151bo287bo130bo97bo63bo$539bo158bo141bo152bo285b2o89bo40bo
99bo62bo$539bo158bo141bo153bo283bo91bo38b2o101bo61bo$538bo159bo141bo38b
o114bo281b2o93bo36bo103bo61bo$538bo160bo139bo39bo114bo280bo95bo35bo105b
o59bo$537bo161bo139bo38bo115bo278b2o96bo34bo106bo59bo$537bo161bo139bo
38bo116bo276bo99bo32bo108bo58bo$537bo161bo138bo38b76o42bo274b2o100bo31b
o109bo58bo$536bo163bo137bo34b5o74bo42bo272b2o102bo30bo110bo58bo$536bo
163bo137bo29b5o3bo75bo42bo271bo105bo28bo112bo56bo$535bo164bo136bo26b4o
8bo75bo43bo268b2o106bo27bo113bo56bo$535bo165bo135bo23b3o12bo75bo43bo267b
o108bo26bo115bo55bo$534bo166bo135bo37bo76bo43bo265b2o110bo24bo116bo55b
o$534bo166bo134bo38bo76bo43bo264bo112bo23bo117bo54bo$534bo167bo133bo37b
o78bo42bo262b2o113bo22bo119bo53bo$533bo168bo133bo37bo78bo42bo261bo116b
o20bo120bo52bo$533bo168bo132bo37bo79bo42bo259b2o117bo19bo121bo52bo$532b
o170bo131bo37bo79bo42bo257b2o119bo19bo121bo51bo$532bo170bo131bo37bo80b
o41bo256bo122bo17bo123bo50bo$531bo171bo130bo37bo81bo41bo254b2o123bo16b
o124bo49bo$531bo172bo129bo37bo81bo41bo253bo126bo140bo49bo$531bo172bo129b
o36bo82bo41bo252bo127bo140bo48bo$530bo173bo129bo36bo83bo40bo250b2o128b
o140bo48bo$530bo174bo127bo36bo84bo40bo249bo131bo139bo47bo$529bo175bo40b
5o82bo36bo84bo40bo248bo132bo139bo47bo$529bo175bo40bo86bo36bo84bo40bo246b
2o134bo138bo46bo$528bo177bo39bo85bo37bo85bo39bo245bo136bo138bo46bo$528b
o177bo39bo85bo37bo85bo39bo244bo137bo138bo45bo$528bo177bo22b18o85bo36b
o86bo39bo243bo139bo137bo45bo$527bo178bo20b2o17bo85bo36bo86bo39bo241b2o
140bo137bo44bo$527bo179bo17b2o19bo84bo37bo86bo39bo240bo143bo136bo44bo
$526bo180bo15b2o21bo84bo37bo86bo39bo239bo144bo136bo43bo$526bo180bo13b
2o23bo84bo37bo86bo39bo237b2o146bo135bo43bo$525bo165b30o25bo83bo38bo86b
o39bo236bo148bo135bo43bo$288b24o213bo157b8o17bo37bo83bo38bo86bo39bo235b
o149bo135bo43bo$284b4o24b2o211bo150b7o25bo37bo83bo38bo86bo39bo234bo151b
o134bo42bo$280b4o30b3o208bo142b8o33bo36bo83bo37bo87bo39bo232b2o152bo134b
o42bo$276b4o37b2o205bo15b128o41bo36bo82bo38bo87bo39bo231bo155bo133bo42b
o$272b4o43b3o202bo184bo36bo82bo38bo87bo39bo230bo156bo133bo41bo$268b4o
50b2o200bo185bo35bo82bo38bo87bo39bo228b2o157bo133bo41bo$264b4o56b3o197b
o185bo35bo81bo39bo87bo39bo227bo160bo132bo41bo$262b2o63b4o193bo185bo35b
o81bo39bo87bo39bo226bo161bo132bo40bo$259b3o69b3o190bo185bo35bo81bo39b
o87bo39bo225bo163bo131bo40bo$257b2o75b4o185bo186bo35bo81bo38bo88bo39b
o223b2o164bo131bo40bo$254b3o81b3o182bo186bo35bo80bo39bo88bo39bo222bo166b
o131bo40bo$251b3o87b4o178bo187bo33bo81bo39bo88bo39bo221bo168bo130bo39b
o$249b2o94b2o176bo187bo33bo81bo39bo88bo39bo219b2o169bo130bo39bo$246b3o
98bo175bo187bo33bo81bo39bo88bo39bo218bo172bo128bo40bo$244b2o102bo174b
o187bo33bo80bo40bo88bo39bo217bo173bo128bo39bo$242b2o105b2o171bo188bo33b
o80bo40bo88bo39bo216bo174bo127bo40bo$240b2o109bo170bo188bo33bo80bo40b
o88bo39bo214b2o176bo126bo40bo$238b2o112bo169bo188bo32bo80bo40bo89bo39b
o213bo178bo125bo40bo$236b2o115bo168bo188bo32bo80bo40bo89bo39bo212bo180b
o124bo40bo$234b2o118bo167bo189bo31bo80bo40bo89bo39bo210b2o181bo123bo40b
o$232b2o121bo166bo189bo31bo80bo40bo89bo39bo209bo183bo123bo40bo$230b2o
124bo164bo190bo31bo79bo41bo89bo39bo208bo185bo122bo39bo$228b2o127b2o162b
o190bo31bo79bo41bo89bo39bo207bo186bo122bo39bo$226b2o131bo161bo190bo30b
o80bo41bo89bo39bo206bo188bo121bo38bo$224b2o134bo160bo190bo30bo79bo42b
o89bo39bo205bo189bo121bo38bo$222b2o137bo159bo190bo30bo79bo42bo89bo39b
o203b2o190bo120bo39bo$220b2o140bo157bo191bo30bo79bo42bo89bo39bo202bo193b
o119bo38bo$218b2o143bo156bo191bo30bo79bo42bo89bo39bo201bo194bo119bo38b
o$216b2o146bo155bo192bo29bo78bo43bo89bo39bo200bo196bo118bo37bo$214b2o
149b2o153bo192bo28bo79bo43bo88bo40bo199bo197bo118bo37bo$212b2o153bo152b
o192bo28bo79bo43bo88bo40bo198bo199bo116bo37bo$210b2o156bo150bo193bo28b
o78bo44bo88bo40bo197bo200bo116bo37bo$209bo159bo149bo193bo28bo78bo44bo
88bo40bo195b2o201bo115bo37bo$207b2o161bo148bo193bo28bo78bo44bo88bo40b
o194bo204bo113bo38bo$206bo164bo147bo193bo28bo78bo44bo88bo40bo193bo205b
o113bo38bo$204b2o166bo146bo193bo27bo78bo45bo88bo40bo192bo207bo111bo38b
o$203bo169bo144bo195bo26bo78bo45bo88bo40bo191bo208bo110bo39bo$201b2o171b
o143bo195bo26bo78bo45bo88bo40bo190bo209bo110bo38bo$200bo173bo143bo195b
o26bo77bo46bo88bo40bo189bo211bo108bo39bo$198b2o175bo142bo195bo26bo77b
o46bo87bo41bo187b2o212bo107bo39bo$197bo178bo141bo195bo26bo77bo46bo87b
o41bo186bo215bo106bo39bo$195b2o180bo139bo196bo26bo76bo47bo87bo41bo185b
o216bo105bo39bo$194bo183bo138bo196bo25bo77bo47bo87bo41bo184bo217bo104b
o40bo$193bo185bo137bo196bo25bo77bo47bo87bo41bo183bo219bo103bo39bo$191b
2o187bo136bo196bo25bo76bo48bo87bo41bo182bo220bo102bo40bo$190bo190bo135b
o197bo24bo76bo48bo87bo41bo181bo222bo101bo39bo$189bo192bo133bo198bo24b
o76bo48bo87bo41bo179b2o223bo100bo40bo$187b2o194bo132bo198bo24bo76bo48b
o87bo41bo178bo225bo99bo40bo$186bo196bo132bo198bo24bo75bo49bo87bo41bo177b
o227bo98bo40bo$185bo198bo131bo198bo24bo75bo49bo86bo42bo176bo228bo97bo
40bo$183b2o200bo130bo198bo24bo75bo49bo86bo42bo175bo230bo96bo40bo$182b
o203bo129bo198bo23bo75bo50bo86bo42bo174bo3bo227bo95bo40bo$181bo205bo128b
o198bo23bo75bo50bo86bo42bo173bo4bo227bo94bo40bo$180bo207bo127bo199bo22b
o75bo50bo86bo42bo171b2o5bo228bo93bo40bo$179bo209bo126bo199bo22bo74bo51b
o86bo42bo170bo7bo228bo92bo40bo$178bo211bo125bo199bo22bo74bo51bo86bo42b
o169bo8bo229bo91bo40bo$177bo213bo124bo199bo22bo74bo51bo86bo42bo168bo9b
o229bo90bo40bo$176bo215bo123bo199bo22bo73bo53bo85bo42bo167bo10bo230bo
88bo41bo$175bo216bo123bo199bo22bo73bo53bo85bo42bo166bo11bo230bo87bo41b
o$175bo217bo122bo31bo167bo21bo74bo53bo84bo43bo165bo13bo229bo87bo41bo$
174bo219bo121bo31bo167bo21bo73bo54bo84bo43bo163b2o14bo230bo85bo41bo$174b
o199b16o5bo120bo31bo167bo21bo73bo55bo83bo43bo162bo16bo230bo84bo41bo$173b
o192b8o16b2o4bo119bo31bo167bo21bo73bo55bo83bo43bo161bo18bo230bo82bo42b
o$173bo186b6o26b4obo118bo31bo167bo21bo72bo56bo83bo43bo160bo19bo230bo82b
o41bo$173bo183b3o35bo2bo117bo31bo167bo21bo72bo56bo83bo43bo159bo21bo229b
o81bo42bo$173bo181b2o38bo2bo117bo31bo168bo20bo72bo56bo82bo44bo158bo22b
o230bo79bo42bo$173bo178b3o40bo3bo115bo32bo168bo20bo72bo57bo81bo43bo158b
o23bo230bo78bo43bo$173bo175b3o44bo3bo114bo32bo168bo20bo71bo58bo81bo43b
o157bo25bo230bo77bo42bo$173bo172b3o48bo2bo114bo32bo168bo19bo72bo58bo81b
o43bo156bo26bo230bo76bo43bo$173bo169b3o51bo3bo113bo32bo168bo19bo72bo58b
o80bo44bo155bo27bo230bo75bo43bo$173bo167b2o54bo4bo112bo32bo168bo19bo71b
o60bo79bo44bo154bo29bo230bo73bo43bo$173bo164b3o56bo4bo111bo33bo168bo19b
o71bo60bo79bo44bo153bo30bo230bo73bo43bo$173bo161b3o59bo5bo110bo33bo168b
o19bo71bo60bo79bo44bo152bo32bo230bo71bo43bo$173bo159b2o62bo6bo109bo33b
o168bo19bo70bo61bo78bo45bo151bo33bo230bo71bo43bo$173bo156b3o64bo6bo109b
o34bo167bo18bo71bo62bo77bo45bo150bo34bo230bo70bo43bo$173bo154b2o67bo7b
o108bo34bo167bo18bo71bo62bo77bo45bo149bo35bo231bo69bo43bo$173bo151b3o
69bo8bo106bo36bo166bo18bo70bo63bo77bo45bo148bo37bo230bo68bo43bo$173bo
149b2o72bo8bo106bo36bo166bo18bo70bo64bo75bo45bo148bo38bo231bo67bo42bo
$173bo72bo73b3o74bo9bo105bo36bo166bo17bo71bo64bo75bo45bo147bo39bo231b
o66bo43bo$173bo72bo71b2o77bo10bo104bo37bo166bo16bo70bo65bo75bo45bo146b
o40bo232bo65bo42bo$173bo73bo67b3o79bo10bo104bo37bo166bo16bo70bo65bo75b
o45bo145bo42bo231bo64bo43bo$173bo73bo65b2o82bo11bo103bo37bo166bo16bo70b
o66bo73bo46bo144bo43bo231bo64bo42bo$173bo74bo61b3o84bo12bo102bo38bo165b
o15bo70bo67bo73bo46bo143bo44bo232bo62bo43bo$173bo74bo58b3o87bo12bo102b
o38bo165bo15bo70bo67bo73bo46bo142bo45bo232bo62bo42bo$174bo74bo54b3o90b
o13bo101bo39bo164bo15bo70bo68bo71bo47bo141bo47bo232bo60bo42bo$174bo74b
o51b3o93bo14bo100bo39bo164bo15bo70bo68bo71bo47bo140bo48bo232bo60bo42b
o$174bo75bo47b3o96bo14bo100bo40bo163bo14bo70bo69bo71bo47bo139bo49bo232b
o59bo42bo$174bo75bo44b3o99bo15bo99bo41bo162bo14bo70bo70bo70bo47bo138b
o50bo233bo58bo42bo$174bo76bo40b3o102bo16bo98bo42bo161bo14bo70bo70bo69b
o47bo139bo51bo232bo57bo42bo$174bo77bo36b3o104bo17bo98bo43bo160bo13bo70b
o71bo69bo47bo138bo52bo233bo55bo43bo$175bo76bo33b3o107bo18bo97bo44bo159b
o13bo70bo72bo68bo47bo137bo53bo233bo54bo43bo$175bo77bo29b3o110bo19bo96b
o45bo158bo13bo70bo72bo68bo47bo136bo54bo234bo53bo42bo$175bo78bo26b2o112b
o20bo96bo46bo157bo13bo69bo74bo66bo48bo135bo56bo233bo52bo43bo$175bo79b
o23b2o114bo21bo95bo47bo157bo11bo70bo74bo66bo48bo134bo57bo234bo50bo43b
o$175bo80bo19b3o116bo22bo94bo48bo156bo11bo70bo74bo66bo48bo133bo58bo234b
o49bo43bo$176bo79bo17b2o119bo22bo94bo48bo156bo11bo69bo76bo65bo48bo132b
o59bo235bo47bo43bo$176bo80bo13b3o121bo23bo93bo49bo155bo11bo69bo76bo64b
o48bo132bo61bo234bo46bo44bo$176bo81bo10b2o123bo25bo92bo49bo155bo10bo69b
o77bo64bo48bo131bo62bo235bo45bo43bo$176bo82bo7b2o125bo25bo92bo50bo154b
o10bo69bo78bo63bo48bo130bo63bo235bo44bo43bo$176bo83bo3b3o127bo26bo91b
o50bo154bo10bo69bo78bo62bo49bo129bo65bo235bo42bo43bo$177bo83b3o130bo27b
o90bo51bo153bo10bo68bo79bo62bo48bo129bo66bo235bo41bo44bo$177bo81b3o132b
o27bo90bo51bo153bo9bo69bo80bo60bo49bo128bo67bo236bo39bo44bo$177bo78b3o
3bo131bo28bo89bo52bo152bo9bo68bo81bo60bo49bo127bo69bo235bo38bo44bo$177b
o76b2o7bo130bo28bo89bo53bo151bo9bo68bo81bo60bo49bo126bo70bo236bo37bo43b
o$177bo86bo129bo29bo88bo53bo151bo9bo67bo83bo58bo50bo125bo72bo235bo36b
o44bo$177bo86bo128bo30bo88bo54bo150bo8bo68bo83bo58bo49bo125bo73bo236b
o34bo44bo$178bo86bo127bo31bo87bo55bo149bo8bo68bo84bo56bo50bo124bo74bo
236bo33bo44bo$178bo87bo126bo32bo86bo56bo148bo8bo67bo85bo56bo50bo123bo
76bo236bo31bo45bo$178bo87bo126bo32bo86bo56bo148bo8bo67bo85bo56bo50bo122b
o77bo236bo31bo44bo$178bo88bo125bo33bo85bo57bo147bo7bo67bo87bo54bo50bo
122bo78bo236bo30bo44bo$178bo88bo125bo33bo85bo58bo146bo7bo67bo87bo54bo
50bo121bo80bo235bo29bo44bo$179bo88bo124bo34bo84bo58bo146bo7bo67bo88bo
52bo51bo120bo81bo236bo27bo45bo$179bo89bo123bo34bo84bo59bo145bo7bo66bo
89bo52bo51bo119bo82bo236bo26bo45bo$179bo89bo123bo35bo83bo60bo144bo6bo
67bo90bo50bo52bo118bo84bo235bo25bo45bo$179bo90bo122bo35bo83bo60bo144b
o6bo66bo91bo50bo51bo118bo85bo235bo25bo45bo$179bo91bo121bo36bo82bo61bo
143bo6bo66bo92bo49bo51bo117bo87bo235bo23bo45bo$179bo91bo121bo37bo81bo
62bo142bo6bo66bo92bo48bo52bo116bo88bo235bo22bo45bo$180bo91bo120bo37bo
81bo63bo141bo5bo66bo94bo47bo52bo115bo89bo235bo21bo45bo$180bo91bo120bo
38bo80bo63bo141bo5bo66bo94bo46bo52bo115bo91bo234bo20bo46bo$180bo92bo119b
o38bo80bo64bo140bo5bo65bo96bo45bo52bo114bo92bo234bo20bo45bo$180bo93bo
118bo39bo79bo65bo139bo5bo65bo96bo44bo53bo113bo93bo235bo18bo45bo$180bo
93bo118bo39bo79bo66bo138bo4bo65bo98bo43bo53bo112bo12bo82bo234bo17bo46b
o$181bo93bo117bo40bo78bo67bo137bo4bo65bo98bo42bo53bo112bo13bo82bo234b
o15b2o46bo$181bo93bo117bo41bo77bo68bo136bo4bo65bo99bo41bo53bo111bo15b
o81bo234bo14bo47bo$181bo93bo117bo41bo77bo69bo135bo4bo64bo100bo40bo54b
o110bo16bo82bo233bo13bo47bo$181bo93bo117bo42bo76bo70bo134bo4bo64bo101b
o38bo55bo109bo17bo82bo233bo11b2o48bo$181bo93bo117bo42bo76bo71bo133bo3b
o64bo102bo38bo54bo109bo19bo81bo233bo10bo49bo$182bo93bo116bo43bo75bo72b
o132bo3bo64bo103bo36bo55bo108bo20bo81bo234bo7b2o49bo$182bo94bo115bo43b
o75bo73bo131bo3bo64bo103bo35bo56bo107bo22bo81bo234bo5bo50bo$182bo94bo
115bo44bo74bo74bo130bo3bo63bo105bo34bo56bo106bo23bo81bo234bo3b2o50bo$
182bo95bo114bo44bo74bo75bo129bo2bo64bo105bo33bo56bo106bo25bo80bo234b4o
51bo$182bo96bo112bo46bo73bo76bo128bo2bo63bo107bo32bo56bo105bo26bo81bo
287bo$182bo97bo111bo46bo73bo77bo127bo2bo63bo107bo31bo57bo104bo28bo80b
o286bo$183bo96bo111bo47bo72bo78bo126bo2bo62bo109bo29bo57bo104bo30bo79b
o285bo$183bo97bo110bo47bo72bo79bo125bobo63bo109bo28bo58bo103bo31bo80b
o283bo$183bo98bo109bo48bo71bo80bo124bobo63bo110bo26bo59bo102bo33bo79b
o282bo$183bo98bo109bo48bo71bo81bo123bobo62bo111bo25bo60bo101bo35bo78b
o281bo$183bo99bo108bo49bo71bo81bo122bobo62bo111bo24bo60bo101bo36bo79b
o279bo$184bo98bo108bo49bo71bo82bo122bo62bo113bo23bo60bo100bo38bo78bo278b
o$184bo99bo106bo51bo70bo83bo121bo62bo113bo22bo61bo99bo39bo78bo277bo$184b
o100bo105bo51bo70bo84bo120bo62bo114bo21bo61bo98bo41bo78bo275bo$184bo101b
o104bo52bo69bo85bo118b2o61bo115bo20bo61bo98bo43bo77bo274bo$184bo102bo
103bo52bo69bo86bo117b2o61bo116bo19bo61bo97bo44bo77bo273bo$184bo103bo102b
o53bo68bo87bo115bobo60bo117bo18bo62bo96bo46bo76bo272bo$185bo103b2o100b
o53bo68bo88bo113bo2bo60bo118bo17bo61bo96bo47bo77bo270bo$185bo105bo99b
o54bo67bo89bo112bo2bo60bo118b2o11b5o62bo95bo49bo76bo269bo$185bo106b2o
97bo54bo67bo90b2o109bo3bo59bo121b2o8bo67bo94bo50bo76bo268bo$185bo108b
o95bo56bo66bo92bo107bo4bo59bo123b2o5bo68bo93bo51bo77bo265b2o$185bo109b
o94bo56bo66bo93b2o104bo6bo57bo126b2o2bo68bo93bo53bo76bo264bo$186bo109b
2o92bo57bo65bo95bo103bo6bo57bo128b2o69bo92bo54bo76bo263bo$186bo111bo91b
o57bo65bo96b2o100bo7bo56bo200bo91bo56bo76bo261bo$186bo112bo90bo58bo64b
o98bo98bo8bo56bo200bo90bo57bo76bo260bo$186bo113b2o88bo58bo64bo99b2o96b
o8bo56bo199bo90bo58bo76bo259bo$186bo115bo86bo60bo63bo101bo94bo9bo55bo
200bo89bo60bo76bo256b2o$187bo115bo85bo60bo63bo102b2o91bo10bo55bo200bo
88bo61bo76bo255bo$187bo116b2o83bo61bo62bo104b2o88bo11bo54bo201bo87bo62b
o76bo254bo$187bo118bo82bo61bo62bo106bo86bo12bo54bo200bo87bo64bo76bo252b
o$187bo119bo81bo62bo61bo107b2o83bo13bo53bo201bo86bo65bo76bo251bo$187b
o120b2o78bo63bo61bo109bo82bo14bo52bo201bo85bo67bo75bo250bo$187bo122bo
77bo64bo60bo110b2o79bo15bo51bo202bo84bo68bo76bo247b2o$188bo122bo76bo64b
o60bo112bo77bo16bo51bo201bo84bo69bo76bo246bo$188bo123bo75bo65bo59bo113b
2o74bo17bo50bo202bo83bo71bo75bo245bo$188bo123bo74bo66bo59bo115b2o71bo
18bo50bo202bo82bo72bo76bo243bo$188bo124bo73bo67bo58bo117b2o68bo19bo49b
o203bo81bo73bo76bo242bo$189bo124bo72bo67bo58bo119b2o65bo20bo49bo202bo
81bo75bo75bo240b2o$189bo125bo71bo68bo57bo121b3o61bo21bo48bo203bo79b2o
76bo76bo238bo$189bo125bo70bo70bo56bo124b2o57b2o22bo48bo203bo78bo79bo75b
o237bo$189bo126bo69bo70bo56bo126b2o54bo24bo47bo204bo77bo80bo75bo236bo
$190bo126bo68bo71bo55bo128b2o51bo25bo47bo204bo76bo81bo76bo233b2o$190b
o127bo67bo71bo55bo130b3o47bo26bo46bo204bo76bo83bo75bo232bo$190bo127bo
67bo72bo54bo133b2o43b2o27bo45bo205bo75bo84bo75bo231bo$190bo128bo65bo73b
o54bo135b2o39b2o29bo45bo205bo73b2o85bo76bo229bo$191bo128bo64bo74bo53b
o137b3o33b3o31bo44bo206bo72bo88bo75bo228bo$191bo129bo63bo74bo53bo140b
2o28b3o34bo44bo205bo72bo89bo75bo226b2o$191bo130bo62bo75bo52bo142b2o24b
2o37bo43bo206bo71bo91bo75bo224bo$191bo131b2o60bo75bo52bo144b24o39bo43b
o206bo70bo92bo75bo223bo$192bo132bo59bo76bo51bo207bo42bo207bo69bo93bo75b
o222bo$192bo133bo57bo77bo51bo207bo42bo206bo69bo95bo75bo219b2o$192bo134b
o56bo78bo50bo207bo41bo207bo67b2o96bo75bo218bo$193bo134b2o54bo78bo50bo
207bo41bo207bo66bo99bo74bo217bo$193bo136b2o51bo80bo49bo207bo40bo207bo
66bo100bo75bo215bo$193bo138b2o49bo80bo49bo207bo39bo208bo65bo101bo75bo
214bo$193bo140b2o46bo82bo48bo207bo39bo207bo65bo103bo74bo212b2o$194bo141b
2o44bo82bo48bo207bo38bo208bo64bo104bo75bo210bo$194bo143b2o41bo84bo47b
o207bo38bo207bo63b2o106bo74bo209bo$194bo145bo40bo84bo47bo207bo37bo208b
o62bo108bo74bo208bo$194bo146b2o37bo86bo46bo207bo37bo207bo62bo109bo75b
o206bo$195bo147bo36bo86bo46bo207bo36bo208bo61bo111bo74bo205bo$195bo148b
2o33bo88bo45bo207bo36bo207bo61bo112bo74bo203b2o$195bo150b2o30bo89bo45b
o207bo35bo208bo60bo114bo74bo201bo$196bo151bo29bo90bo44bo207bo35bo207b
o59b2o115bo74bo200bo$196bo152b2o26bo91bo44bo207bo34bo208bo58bo117bo74b
o199bo$196bo154b2o23bo93bo43bo207bo34bo207bo58bo119bo74bo197bo$196bo156b
2o20bo94bo44bo206bo33bo208bo57bo120bo74bo196bo$197bo157b2o18bo95bo43b
o206bo32bo208bo57bo122bo73bo194b2o$197bo159b2o15bo96bo43bo206bo32bo208b
o56bo123bo74bo192bo$197bo161b12ob3o97bo42bo206bo31bo208bo56bo124bo74b
o191bo$197bo172bobo99bo42bo206bo31bo208bo54b2o126bo73bo190bo$198bo171b
3o100bo41bo206bo30bo208bo54bo128bo74bo187b2o$198bo274bo41bo206bo30bo208b
o53bo130bo73bo186bo$198bo275bo40bo206bo29bo208bo53bo131bo73bo185bo$198b
o275bo40bo206bo29bo208bo52bo132bo74bo182b2o$199bo275bo39bo206bo28bo208b
o52bo134bo73bo181bo$199bo275bo39bo206bo28bo208bo50b2o135bo73bo180bo$199b
o276bo38bo206bo27bo209bo49bo138bo73bo177b2o$200bo275bo38bo206bo27bo208b
o49bo139bo73bo176bo$200bo276bo37bo206bo26bo209bo48bo140bo73bo175bo$200b
o276bo37bo206bo25bo210bo47bo142bo73bo172b2o$200bo277bo36bo206bo24bo210b
o47bo143bo73bo171bo$201bo276bo36bo206bo24bo210bo46bo144bo73bo170bo$201b
o277bo35bo206bo23bo211bo45bo146bo73bo167b2o$201bo277bo35bo206bo22bo211b
o45bo147bo73bo166bo$201bo278bo34bo206bo21bo212bo44bo149bo72bo165bo$202b
o277bo34bo206bo21bo212bo43bo150bo73bo162b2o$202bo278bo33bo205bo21bo212b
o43bo151bo73bo161bo$202bo278bo33bo205bo20bo213bo42bo153bo72bo160bo$202b
o279bo32bo205bo19bo214bo41bo154bo73bo157b2o$203bo278bo32bo204bo20bo213b
o41bo155bo73bo155b2o$203bo279bo31bo204bo19bo214bo40bo157bo72bo154bo$203b
o279bo31bo204bo18bo215bo39bo158bo73bo151b2o$204bo279bo30bo203bo18bo215b
o39bo160bo72bo150bo$204bo279bo30bo203bo18bo215bo38bo161bo72bo148b2o$205b
o278bo30bo203bo17bo215bo38bo162bo73bo145b2o$205bo279bo29bo203bo16bo216b
o37bo164bo72bo144bo$206bo278bo29bo203bo15bo216bo37bo165bo72bo142b2o$206b
o278bo29bo203bo15bo216bo36bo166bo73bo140bo$206bo279bo28bo203bo14bo216b
o36bo168bo72bo138b2o$207bo278bo28bo203bo13bo217bo35bo169bo72bo136b2o$
207bo278bo28bo203bo12bo217bo35bo171bo72bo134bo$208bo278bo27bo203bo12b
o217bo34bo172bo72bo132b2o$208bo278bo27bo203bo11bo217bo34bo173bo72bo130b
2o$208bo278bo27bo203bo10bo218bo34bo174bo72bo126b3o$209bo278bo26bo203b
o9bo218bo34bo175bo72bo124b2o$209bo278bo26bo203bo8bo219bo33bo176bo73bo
120b3o$210bo277bo26bo203bo7bo219bo33bo178bo72bo117b3o$210bo278bo25bo203b
o6bo220bo32bo179bo72bo115b2o$211bo277bo25bo203bo5bo220bo32bo181bo72bo
111b3o$211bo277bo25bo204bo3bo221bo31bo182bo72bo108b3o$211bo278bo24bo205b
obo221bo31bo183bo72bo106b2o$212bo277bo24bo206bo222bo30bo185bo72bo102b
3o$212bo277bo24bo428bo30bo186bo72bo99b3o$213bo276bo24bo428bo29bo188bo
71bo96b3o$213bo277bo23bo427bo29bo189bo72bo92b3o$213bo277bo23bo426bo29b
o190bo72bo89b3o$214bo276bo23bo426bo28bo192bo71bo87b2o$214bo277bo22bo425b
o28bo193bo72bo83b3o$215bo276bo22bo425bo27bo194bo72bo80b3o$215bo276bo22b
o424bo27bo196bo72bo76b3o$216bo275bo22bo424bo26bo197bo72bo72b4o$216bo276b
o21bo423bo26bo199bo71bo68b4o$216bo276bo22bo421bo26bo200bo72bo63b4o$217b
o275bo22bo421bo25bo201bo72bo59b4o$217bo276bo21bo420bo25bo203bo71bo55b
4o$218bo275bo21bo420bo24bo204bo72bo50b4o$218bo275bo21bo419bo24bo206bo
71bo46b4o$219bo274bo21bo419bo23bo207bo71bo42b4o$219bo275bo20bo418bo23b
o208bo71bo38b4o$220bo274bo20bo417bo22b2o210bo71bo33b4o$221bo273bo20bo
417bo21bo212bo71bo29b4o$221bo274bo19bo416bo21bo213bo71bo25b4o$222bo273b
o19bo416bo20bo215bo38b58o$223bo272bo19bo415bo20bo216bo34b4o33bo$223bo
272bo19bo415bo18b2o218bo28b5o37bo$224bo272bo18bo414bo18bo220bo24b4o43b
o$225bo271bo18bo414bo17bo221bo19b5o47bo$225bo271bo18bo413bo17bo223bo14b
4o52bo$226bo271bo17bo413bo16bo224bo8b6o56bo$227bo270bo17bo412bo16bo226b
8o63bo$227bo270bo17bo412bo14b2o221b7o70bo$228bo269bo17bo411bo14bo218b
5o7bo69bo$229bo269bo16bo411bo13bo217b2o12bo70bo$229bo269bo16bo410bo13b
o216b2o15bo69bo$230bo268bo16bo410bo12bo215b2o17bo69bo$231bo268bo15bo409b
o11b2o213b3o20bo69bo$232bo267bo15bo409bo10bo213b2o23bo69bo$232bo267bo
15bo408bo10bo212b2o26bo69bo$233bo266bo15bo408bo9bo211b2o28bo69bo$234b
o266bo14bo407bo9bo210b2o31bo69bo$235bo265bo14bo407bo8bo209b2o33bo69bo
$236bo264bo14bo406bo7b2o208b2o36bo69bo$236bo264bo14bo406bo6bo208b2o38b
o70bo$237bo263bo13bo406bo6bo207b2o41bo69bo$238bo262bo13bo406bo5bo207b
o43bo70bo$239bo261bo13bo405bo5bo206b2o45bo70bo$240bo260bo13bo405bo3b2o
205b2o47bo70bo$240bo260bo13bo404bo3bo205b2o49bo71bo$241bo259bo13bo404b
o2bo205bo52bo$242bo258bo12bo404bo2bo204b2o53bo$242bo258bo12bo404bobo203b
2o56bo$243bo258bo11bo403bobo202b2o58b2o$243bo258bo11bo403b2o202bo62b2o
$244bo258bo10bo402b2o202bo65bo$244bo258bo10bo402bo201b2o$245bo258bo8b
o402bo201bo$245bo258bo8bo401bo201bo$245bo259bo7bo400bo201bo$246bo258b
o7bo399bo201bo$246bo259bo6bo398bo200b2o$247bo258bo6bo397bo200bo$247bo
259bo5bo396bo200bo$248bo258bo5bo395b2o199bo$249bo257bo5bo394bobo198bo
$250bo256bo5bo393bo2bo196b2o$251bo255bo5bo392bo3bo195bo$252bo254bo5bo
391bo4bo194bo$253bo253bo5bo390bo2b4o193bo$254bo253bo4bo390bobo196bo$255b
o253bo3bo390b2o196bo$256bo253bo2bo390bo195b2o$257bo253bobo390bo194bo$
257bo254b2o390bo193bo$258bo254bo390bo192bo$258bo837bo$259bo835bo$260b
o833bo$260bo831b2o$261bo829bo$261bo828bo$262bo826bo$263bo824bo$263bo823b
o$264bo821bo$264bo819b2o$265bo817bo$266bo815bo$266bo814bo$267bo812bo$
267bo811bo$268bo809bo$268bo808bo$269bo807bo$269bo806bo$270bo804bo$270b
o803bo$271bo801bo$271bo800bo$272bo798bo$272bo797bo$273bo796bo$274bo794b
o$274bo793bo$275bo791bo$276bo789bo$276bo788bo$277bo786bo$278bo784bo$278b
o784bo$279bo782bo$280bo780bo$280bo779bo$281bo777bo$282bo775bo$282bo774b
o$283bo772bo$284bo770bo$284bo769bo$285bo767bo$285bo766bo$286bo764bo$286b
o763bo$287bo761bo$287bo759b2o$288bo757bo$288bo756bo$289bo754bo$290bo752b
o$290bo751bo$291bo749bo$292bo747bo$292bo746bo$293bo744bo$294bo742bo$294b
o741bo$295bo739bo$296bo737bo$296bo736bo$297bo734bo$297bo733bo$298bo731b
o$298bo730bo$299bo728bo$299bo727bo$300bo725bo$301bo723bo$301bo722bo$302b
o720bo$302bo719bo$303bo717bo$303bo716bo$304bo714bo$304bo713bo$305bo711b
o$306bo709bo$306bo708bo$307bo707bo$307bo706bo$308bo704bo$308bo703bo$309b
o701bo$309bo701bo$310bo699bo$310bo698bo$311bo696bo$311bo695bo$312bo694b
o$312bo693bo$312bo692bo$313bo690bo$313bo689bo$314bo688bo$314bo687bo$314b
o686bo$315bo684bo$315bo683bo$316bo682bo$316bo681bo$316bo680bo$317bo678b
o$317bo677bo$318bo676bo$318bo675bo$318bo674bo$319bo672bo$319bo672bo$320b
o670bo$320bo670bo$320bo669bo$321bo667bo$321bo667bo$322bo665bo$322bo665b
o$322bo664bo$323bo662bo$323bo662bo$324bo660bo$324bo660bo$324bo659bo$325b
o657bo$325bo657bo$326bo655bo$326bo654bo$326bo654bo$109b43o175bo652bo$
105b4o43b5o170bo651bo$101b4o52b5o166bo650bo$97b4o61b4o162bo649bo$94b3o
69b2o160bo648bo$91b3o74b3o158bo647bo132b2o$89b2o80b2o156bo646bo115b3o
15b2o$87b2o84b3o154bo644bo115bo3bo$86bo89b2o152bo644bo115b2o3bo$84b2o
92b4o149bo642bo116b2o2b2o$83bo98b4o145bo641bo119bob2o$81b2o103b4o141b
o641bo118bob2o$80bo109b4o138bo639bo120b3o$78b2o114b4o134bo639bo114bo7b
o$76b2o120b4o131bo638bo114bo2bo3bobo$74b2o126b3o128bo638bo115bobo3b2o
$72b2o131b2o127bo637bo116bo$70b2o135b2o125bo637bo$67b3o139b3o122bo637b
o$65b2o145b2o121bo636bo115b2o3b2ob2o25bo$62b3o149b2o119bo636bo114bobo
2bo3b2o24bobo$60b2o154b3o117bo635bo113b2o5bo28bobo$58b2o159b2o115bo635b
o114b2o3bobo28bo$57bo163b2o114bo634bo119bo2b4o66bo$55b2o166b3o111bo634b
o124b2o65b3o$54bo171b2o109bo634bo119b2o3b2o64b2ob2o$52b2o174b2o108bo633b
o122b2o65b2o3b2o$51bo178b2o106bo633bo119bobobo66b2ob2o$49b2o181b2o105b
o632bo119bo2bo$48bo185b2o103bo632bo105bo102b2o$46b2o188b2o102bo631bo97b
2o5b3o101b2o$45bo192b2o100bo631bo99bo3bo2bo86b2o$43b2o195b2o98bo631bo
100bo2b2o88b2o$42bo199bo98bo630bo98b2o64bo$41bo201bo97bo630bo91b3o69b
obo21bo4bo2bo$41bo202b2o96bo629bo90bob2obo8bob2obob2o50bobo19bo6bo2bo
$40bo205bo95bo629bo90bo3bobo6bobo3bo54bo20b3o3bo4bo$39bo207bo95bo628b
o90bo4b2ob2o3bo2bo4bo73b2o5bo2bo$39bo208bo94bo628bo91bob5obo7bo2bobo82b
o$38bo210bo93bo629bo91b3o3bo4b2o2bo2b2o76b2o2b2o$37bo212b2o92bo628bo102b
2o2b3o79b3o$37bo214bo91bo628bo106b3o80bo3bo$36bo216bo91bo627bo192b3o$
34b2o218b2o89bo628bo181bo9bobo25bo$33bo222b2o88bo627bo179bo2bo35bobo$
31b2o225bo87bo627bo182bo35bobo$30bo228b2o85bo627bo180bob3o4bo6bo22bo$
28b2o231b2o84bo627bo178bo3bobo3bo4b3o$27bo235bo83bo627bo175bo2b2o2bob
o3bo$26bo237b2o81bo627bo174bo2b3o4bo8b2o$25bo106b11o123b2o80bo626bo178b
3o7bobobo$24bo118b4o121bo79bo627bo175bo4b2o6bo$23bo123b6o116b2o77bo627b
o89b2o99bobo$22bo130b6o112b2o76bo626bo89b2o100b2o$21bo100bo36b6o108bo
75bo626bo191bo$20bo101bo42b5o104b2o73bo626bo$20bo100bo48b4o102b2o72bo
626bo64b3o$19bo101bo52b5o99bo71bo626bo63bo3bo162bo$19bo101bo57b3o97b2o
69bo626bo63b2o3bo160bobo$18bo101bo61b2o97b2o68bo625bo63b2o2b2o12b2o146b
obo$18bo101bo63bo98b2o66bo625bo65bob2o12b2o147bo$17bo102bo64b2o98b2o64b
o626bo63bob2o$17bo101bo67bo99b3o62bo625bo64b3o$16bo102bo68b2o100b2o60b
o625bo58bo7bo$16bo101bo71b2o100b3o57bo625bo58bo2bo3bobo$15bo102bo73bo
102b2o56bo625bo58bobo3b2o164b2o$15bo102bo74b2o102b3o53bo625bo59bo152b
3o15b2o$15bo101bo77bo104b2o51bo625bo211bo3bo$14bo102bo78bo105b2o50bo625b
o210b2o3bo21bo$14bo102bo79b2o105b2o48bo625bo57b2o3b2ob2o143b2o2b2o19b
2obo$14bo101bo82bo106b2o46bo625bo56bobo2bo3b2o145bob2o19b2o2bo$14bo101b
o83bo107b2o45bo625bo54b2o5bo148bob2o21b6o$13bo102bo84b2o107b2o43bo625b
o55b2o3bobo148b3o27bo$13bo101bo87bo108b2o41bo625bo60bo2b4o138bo7bo25b
o$13bo101bo88bo109b2o40bo625bo64b2o138bo2bo3bobo24b3o$13bo101bo89b2o109b
2o38bo625bo59b2o3b2o139bobo3b2o23b2o2bo$12bo101bo92bo110b2o36bo625bo62b
2o142bo29bo2bo$12bo101bo93bo111b2o35bo625bo58bobobo173b3o$12bo101bo94b
o112b2o33bo625bo58bo2bo$11bo101bo96b2o112b2o31bo625bo44bo159b2o3b2ob2o
25bo$11bo101bo98bo113b2o30bo625bo35b2o5b3o157bobo2bo3b2o24bobo$10bo101b
o100bo114b2o28bo625bo37bo3bo2bo156b2o5bo28bobo$9bo102bo101bo115b2o26b
o625bo38bo2b2o159b2o3bobo28bo$9bo102bo102bo116b2o24bo626bo35b2o169bo2b
4o$8bo102bo104b2o116b2o22bo626bo28b3o180b2o$7bo103bo106bo117b2o20bo626b
o27bob2obo8bob2obob2o156b2o3b2o$7bo103bo107bo118b2o18bo627bo26bo3bobo
6bobo3bo162b2o$6bo103bo108bo120b7o11bo627bo26bo4b2ob2o3bo2bo4bo157bob
obo$6bo103bo109bo126bo10bo627bo27bob5obo7bo2bobo156bo2bo$5bo104bo109b
o127bo9bo628bo27b3o3bo4b2o2bo2b2o$5bo103bo111bo127bo8bo628bo38b2o2b3o
$5bo103bo111bo128bo7bo629bo41b3o$5bo103bo112bo128bo6bo629bo$4bo103bo113b
o129b7o629bo207b2o$4bo103bo113bo766bo206b2o$4bo102bo115bo765bo$4bo102b
o115bo765bo$3bo103bo116bo765bo$3bo102bo117bo765bo$3bo102bo118bo764bo$
2bo103bo118bo765bo$2bo102bo119bo765bo$2bo102bo119bo766bo23b2o$bo103bo
119bo766bo23b2o$bo102bo120bo767bo$bo102bo120bo767bo217b2o$o103bo121bo
765b3o215bo2bo$o102bo122bo764bo2b2o215b2o$o102bo122bo764b2o2b2o$o101b
o123bo764b2o2b2o12b2o$o101bo123bo766bob2o12b2o$o101bo123bo765bob3o$o100b
o124bo766b4o$o100bo124bo760bo7b2o$o100bo124bo760bo2bo3bobo$o99bo125bo
761bobo3b3o$o99bo126bo761bo6bo$o98bo127bo768bo$bo97bo127bo768bo$bo97b
o127bo760b2o3b2ob2o227b2o$bo96bo128bo759bobo2bo3b2o226bo2bo$bo96bo128b
o758b2o5bo3bo227b2o$2bo95bo128bo759b2o3bobo3bo$2bo94bo129bo764bo2b5o$
2bo94bo129bo769b3o$2bo93bo130bo764b2o3b2obo$3bo92bo130bo767b2o4bo$3bo
92bo130bo764bobobo4bo$3bo91bo130bo765bo2bo6bo$4bo90bo130bo751bo$4bo90b
o130bo743b2o5b3o$5bo88bo131bo745bo3bo2bo$5bo88bo131bo746bo2b2o$6bo86b
o132bo744b2o$6bo86bo132bo737b3o$6bo85bo133bo736bob2obo8bob2obob2o$6bo
85bo133bo736bo3bobo6bobo3bo237b3o$6bo84bo134bo736bo4b2ob2o3bo2bo4bo234b
o3bo$6bo84bo134bo737bob5obo7bo2bobo233b2o3bo$6bo83bo135bo738b3o3bo4b2o
2bo2b2o234b2o2b2o$6bo83bo134bo750b2o2b3o238bob2o$7bo81bo135bo754b3o237b
ob2o$7bo81bo135bo995b3o$8bo79bo136bo989bo7bo$8bo79bo136bo989bo2bo3bob
o$9bo77bo137bo990bobo3b2o$9bo77bo137bo991bo17b2o$9bo76bo138bo1008bo2b
o3b2o$10bo75bo137bo1010b2ob2o2bo$10bo74bo138bo991b2o3b2ob2o12bob2o$10b
o74bo138bo990bobo2bo3b2o11bo2b2o$11bo72bo138bo990b2o5bo$11bo72bo138bo
742b2o247b2o3bobo$11bo71bo139bo742b2o252bo2b4o$12bo70bo138bo1002b2o$12b
o69bo139bo987bo9b2o3b2o$13bo68bo139bo979b2o5b3o11b2o$13bo67bo140bo981b
o3bo2bo8bobobo$14bo66bo139bo983bo2b2o10bo2bo$14bo66bo139bo737b2o242b2o
$15bo64bo140bo737b2o235b3o$15bo64bo139bo974bob2obo8bob2obob2o$16bo63b
o139bo974bo3bobo6bobo3bo13b2o$16bo62bo140bo974bo4b2ob2o3bo2bo4bo11b2o
$17bo61bo139bo976bob5obo7bo2bobo$17bo61bo139bo977b3o3bo4b2o2bo2b2o$18b
o59bo139bo989b2o2b3o$18bo59bo139bo993b3o$19bo57bo139bo$19bo56bo139bo1004b
2o$20bo55bo139bo1004b2o$21bo54bo138bo$21bo54bo137bo$22bo53bo136bo$23b
o52b6o131bo$23bo58b2o128bo$24bo59b2o125bo$25bo60b2o123bo$25bo62b4o118b
o987b2o$26bo65b6o111bo988b2o$27bo70b9o100b2o$27bo79b10o89bo$28bo88b9o
79bo968b3o$29bo96b6o71b2o968bo3bo$29bo102b6o61b4o970b2o3bo$30bo107b6o
49b6o974b2o2b2o12b2o$31bo112b9o32b8o982bob2o12b2o$31bo121b12o10b10o989b
ob2o$32bo132b10o1000b3o$33bo1135bo7bo$33bo1135bo2bo3bobo$34bo1135bobo
3b2o$35bo1135bo$35bo$36bo$37bo1132b2o3b2ob2o$37bo1131bobo2bo3b2o$38bo
1129b2o5bo$38bo1130b2o3bobo$39bo1134bo2b4o$39bo1139b2o$40bo1123bo9b2o
3b2o$41bo1114b2o5b3o11b2o$42bo1115bo3bo2bo8bobobo$43bo1115bo2b2o10bo2b
o$44bo1112b2o$45bo1104b3o$46bo1102bob2obo8bob2obob2o$47bo1101bo3bobo6b
obo3bo13b2o$48bo1100bo4b2ob2o3bo2bo4bo11b2o$49bo1100bob5obo7bo2bobo$50b
o1100b3o3bo4b2o2bo2b2o$51bo1110b2o2b3o$52bo1113b3o$53bo$54bo1120b2o$55b
o1119b2o$56bo$57bo$58bo$59bo$60bo$61bo$61bo$62bo1089b2o$63bo1088b2o$63b
o$64bo$65bo1062b3o$65bo1061bo3bo$66bo1060b2o3bo$67bo1059b2o2b2o12b2o$
67bo1061bob2o12b2o$68bo1059bob2o$69bo1059b3o$70bo1052bo7bo$71bo1051bo
2bo3bobo$72bo1051bobo3b2o$73bo1051bo$74bo$75bo$76bo1047b2o3b2ob2o$77b
o1045bobo2bo3b2o$78bo1043b2o5bo$79bo1043b2o3bobo$80bo1047bo2b4o$81bo1051b
2o$82bo1035bo9b2o3b2o$83bo1026b2o5b3o11b2o$84bo1027bo3bo2bo8bobobo$85b
o1027bo2b2o10bo2bo$86bo1024b2o$87bo1016b3o$88bo1014bob2obo8bob2obob2o
$89bo1013bo3bobo6bobo3bo13b2o$90bo1012bo4b2ob2o3bo2bo4bo11b2o$91bo1012b
ob5obo7bo2bobo$92bo1012b3o3bo4b2o2bo2b2o$93bo1022b2o2b3o$94bo1025b3o$
95bo$96bo1032b2o$97bo1031b2o$98bo$99bo$100bo$101bo$102bo$103bo$104bo$
105bo1000b2o$106bo999b2o$107bo$108bo$109bo972b3o$110bo970bo3bo$111b2o
968b2o3bo$113bo967b2o2b2o12b2o$114bo968bob2o12b2o$115bo966bob2o$116bo
966b3o$117bo959bo7bo$118bo958bo2bo3bobo$119bo958bobo3b2o$120bo958bo$121b
o$122bo$123bo954b2o3b2ob2o$124b2o951bobo2bo3b2o$126bo949b2o5bo$127bo949b
2o3bobo$128bo953bo2b4o$129bo957b2o$130b2o940bo9b2o3b2o$132bo931b2o5b3o
11b2o$133bo932bo3bo2bo8bobobo$134bo932bo2b2o10bo2bo$135b2o928b2o$137b
o920b3o$138bo918bob2obo8bob2obob2o15bo$139bo917bo3bobo6bobo3bo13b2o3b
o$140bo916bo4b2ob2o3bo2bo4bo11b2o4bo$141b2o915bob5obo7bo2bobo16bo$143b
o915b3o3bo4b2o2bo2b2o18bo$144bo925b2o2b3o20bo$145bo928b3o20bo$146b2o950b
o$148bo934b2o13bo$149bo933b2o14bo$150bo948bo$151bo947bo$152b2o946bo$154b
o945bo$155b2o944bo$157b2o942bo$159b3o940bo$162b2o896b2o40bo$164b3o893b
2o41bo$167b2o934bo$169b2o932bo$171b3o862b3o65bo$174b2o859bo3bo64bo$176b
3o856b2o3bo64bo$179b2o854b2o2b2o12b2o50bo$181b3o853bob2o12b2o51bo$184b
2o850bob2o66bo$186b3o848b3o67bo$189b2o840bo7bo67bo$191b3o837bo2bo3bob
o66bo$194b2o836bobo3b2o68bo$196b2o835bo74bo$198b3o908bo$201b2o906bo$203b
3o826b2o3b2ob2o68bo$206b2o823bobo2bo3b2o68bo$208b3o819b2o5bo73bo$211b
2o818b2o3bobo72bo$213b3o820bo2b4o68bo$216b2o823b2o69bo$218b3o805bo9b2o
3b2o69bo$221b2o795b2o5b3o11b2o72bo$223b2o795bo3bo2bo8bobobo72bo$225b3o
793bo2b2o10bo2bo74bo$228b2o789b2o93bo$230b3o779b3o100bo$233b2o776bob2o
bo8bob2obob2o81bo$235b3o773bo3bobo6bobo3bo13b2o69bo$238b3o770bo4b2ob2o
3bo2bo4bo11b2o70bo$241b4o767bob5obo7bo2bobo82bo$245b3o765b3o3bo4b2o2b
o2b2o84bo$248b3o773b2o2b3o86bo$251b3o774b3o87bo$254b3o861bo$257b4o776b
2o80bo$261b3o773b2o80bo$264b3o853bo$267b4o849bo$271b4o846bo$275b3o844b
o$278b4o840bo$282b4o837bo$286b3o835bo$289b4o721b2o109bo$293b4o717b2o109b
o$297b4o825bo$301b6o820bo$307b5o678b3o134bo$312b6o671bo3bo134bo$318b5o
666b2o3bo134bo$323b6o660b2o2b2o12b2o120bo$329b6o656bob2o12b2o121bo$335b
7o648bob2o137bo$342b7o642b3o137bo$349b6o630bo7bo138bo$355b6o624bo2bo3b
obo138bo$361b6o619bobo3b2o140bo$367b7o613bo146bo$374b7o754bo$381b7o748b
o$388b6o592b2o3b2ob2o140bo$394b6o585bobo2bo3b2o141bo$400b6o578b2o5bo146b
o$406b6o573b2o3bobo145bo$412b6o572bo2b4o142bo$418b6o571b2o143bo$424b4o
552bo9b2o3b2o143bo$428b4o540b2o5b3o11b2o146bo$432b4o538bo3bo2bo8bobob
o147bo$436b4o535bo2b2o10bo2bo149bo$440b4o529b2o168bo$444b4o518b3o175b
o$448b4o513bob2obo8bob2obob2o157bo$452b4o509bo3bobo6bobo3bo13b2o145bo
$456b4o505bo4b2ob2o3bo2bo4bo11b2o146bo$460b4o502bob5obo7bo2bobo159bo$
464b4o499b3o3bo4b2o2bo2b2o160bo$468b4o506b2o2b3o163bo$472b4o506b3o164b
o$476b2o671bo$478b3o510b2o157bo$481b2o508b2o158bo$483b3o666bo$486b2o664b
o$488b3o662bo$491b3o660bo$494b3o657bo$497b3o655bo$500b3o653bo$503b3o462b
2o186bo$506b2o460b2o187bo$508b2o648bo$510b2o646bo$512bo431b3o212bo$513b
2o428bo3bo212bo$515b2o426b2o3bo212bo$517bo425b2o2b2o12b2o198bo$518b2o
425bob2o12b2o199bo$520b2o422bob2o215bo$522bo422b3o215bo$523bo415bo7bo
216bo$524b2o413bo2bo3bobo216bo$526bo413bobo3b2o218bo$527bo413bo225bo$
528b2o638bo$530bo638bo$531bo408b2o3b2ob2o220bo$532b2o405bobo2bo3b2o221b
o$534bo403b2o5bo226bo$535b2o402b2o3bobo226bo$537bo406bo2b4o223bo$538b
2o409b2o224bo$540bo393bo9b2o3b2o225bo$541b2o383b2o5b3o11b2o228bo$543b
o384bo3bo2bo8bobobo229bo$544b2o383bo2b2o10bo2bo231bo$546bo380b2o251bo
$547b2o371b3o258bo$549bo369bob2obo8bob2obob2o240bo$550b2o367bo3bobo6b
obo3bo13b2o229bo$552bo366bo4b2ob2o3bo2bo4bo11b2o230bo$553b2o365bob5ob
o7bo2bobo243bo$555bo365b3o3bo4b2o2bo2b2o245bo$556b2o374b2o2b3o248bo$558b
o377b3o249bo$559b2o628bo$561bo383b2o243bo$562b2o381b2o244bo$564bo627b
o$565b2o626bo$567bo626bo$568b2o625bo$570bo625bo$571bo625bo$572bo625bo
$573bo348b2o275bo$574bo347b2o276bo$575bo625bo$576bo625bo$577b2o319b3o
302bo$579bo317bo3bo302bo$580bo316b2o3bo302bo$581bo315b2o2b2o12b2o289b
o$582bo316bob2o12b2o290bo$583bo314bob2o306bo$584bo314b3o307bo$585bo307b
o7bo308bo$586bo306bo2bo3bobo308bo$587bo306bobo3b2o310bo$588bo306bo317b
o$589bo624bo$590bo624bo$591bo302b2o3b2ob2o312bo$592bo300bobo2bo3b2o313b
o$593bo298b2o5bo318bo$594bo298b2o3bobo318bo$595bo302bo2b4o315bo$595bo
307b2o316bo$596bo291bo9b2o3b2o317bo$596bo283b2o5b3o11b2o320bo$597bo284b
o3bo2bo8bobobo321bo$598bo284bo2b2o10bo2bo323bo$598bo282b2o343bo$599bo
274b3o350bo$600bo272bob2obo8bob2obob2o332bo$600bo272bo3bobo6bobo3bo13b
2o321bo$601bo271bo4b2ob2o3bo2bo4bo11b2o322b2o$601bo272bob5obo7bo2bobo
336bo$602bo272b3o3bo4b2o2bo2b2o338bo$603bo282b2o2b3o341bo$603bo286b3o
342bo$604bo631bo$604bo294b2o336bo$605bo293b2o337bo$606bo632b2o$607bo633b
o$607bo634bo$608bo634bo$609bo634bo$610bo634bo$610bo635bo$611bo264b2o369b
o$612bo263b2o370bo$613bo2b2o631b2o$613bo2b2o633bo$614bo237b3o397bo$615b
o235bo3bo397bo$592b3o21bo234b2o3bo397bo$591bo3bo21bo233b2o2b2o12b2o384b
o$591b2o3bo21bo234bob2o12b2o385bo$591b2o2b2o12b2o8bo232bob2o401bo$593b
ob2o12b2o9bo232b3o402b2o$592bob2o251bo7bo404bo$593b3o251bo2bo3bobo404b
o$587bo7bo252bobo3b2o406bo$587bo2bo3bobo252bo413bo$588bobo3b2o668bo$589b
o675bo$848b2o3b2ob2o408bo$847bobo2bo3b2o409b2o$588b2o3b2ob2o248b2o5bo
415bo$587bobo2bo3b2o249b2o3bobo415bo$586b2o5bo258bo2b4o412bo$587b2o3b
obo262b2o413bo$592bo2b4o243bo9b2o3b2o414bo$597b2o235b2o5b3o11b2o417bo
$592b2o3b2o237bo3bo2bo8bobobo418bo$595b2o240bo2b2o10bo2bo420bo$592bob
obo238b2o440b2o$592bo2bo232b3o448bo$578bo248bob2obo8bob2obob2o430bo$570b
2o5b3o247bo3bobo6bobo3bo13b2o419bo$572bo3bo2bo247bo4b2ob2o3bo2bo4bo11b
2o420bo$573bo2b2o250bob5obo7bo2bobo433bo$571b2o256b3o3bo4b2o2bo2b2o435b
o$564b3o273b2o2b3o438bo$563bob2obo8bob2obob2o258b3o439b2o$563bo3bobo6b
obo3bo705bo$563bo4b2ob2o3bo2bo4bo268b2o434bo$564bob5obo7bo2bobo267b2o
435bo$565b3o3bo4b2o2bo2b2o706bo$576b2o2b3o709b2o$580b3o711bo$1295b2o$
1297bo$1298bo$1299b2o$830b2o469bo$830b2o470b2o$1304bo$1305b2o$806b3o498b
o$805bo3bo498bo$566b2o237b2o3bo498b2o$566b2o237b2o2b2o12b2o486bo$807b
ob2o12b2o487b2o$806bob2o504bo$542b3o262b3o505b2o$541bo3bo255bo7bo507b
o$541b2o3bo254bo2bo3bobo507b2o$541b2o2b2o12b2o241bobo3b2o510bo$543bob
2o12b2o242bo517bo$542bob2o776b2o$543b3o778bo$537bo7bo256b2o3b2ob2o513b
2o$537bo2bo3bobo254bobo2bo3b2o515bo$538bobo3b2o254b2o5bo520b2o$539bo261b
2o3bobo521bo$806bo2b4o518bo$811b2o519b2o$538b2o3b2ob2o248bo9b2o3b2o521b
o$537bobo2bo3b2o240b2o5b3o11b2o524b2o$536b2o5bo246bo3bo2bo8bobobo526b
o$537b2o3bobo246bo2b2o10bo2bo528b2o$542bo2b4o240b2o549bo$547b2o233b3o
556bo$542b2o3b2o232bob2obo8bob2obob2o538b2o$545b2o234bo3bobo6bobo3bo13b
2o528bo$542bobobo234bo4b2ob2o3bo2bo4bo11b2o529b2o$542bo2bo236bob5obo7b
o2bobo543bo$528bo254b3o3bo4b2o2bo2b2o545b2o$520b2o5b3o264b2o2b3o549bo
$522bo3bo2bo268b3o550b2o$523bo2b2o825bo362b12o$521b2o284b2o545bo356b5o
12b2o$514b3o290b2o546b2o348b6o19b2o$513bob2obo8bob2obob2o821bo343b4o27b
o$513bo3bobo6bobo3bo825b2o338b3o32b2o$513bo4b2ob2o3bo2bo4bo825bo334b3o
37b2o$514bob5obo7bo2bobo825b2o330b2o42b2o$515b3o3bo4b2o2bo2b2o828bo328b
o45bo$526b2o2b3o831bo326bo47bo$530b3o832b2o323bo49bo$784b2o581bo321bo
51bo$784b2o582b2o318bo52bo$1370bo316bo53bo$1371b2o313bo8bo46bo$760b3o
610b2o311bo55bo$759bo3bo611bo309bo30bo25bo$759b2o3bo34bo576b2o306bo57b
o$759b2o2b2o12b2o21bo577b2o303bo58bo$761bob2o12b2o22bo578bo302bo58bo$
760bob2o38b2o577b2o299bo60bo$761b3o40bo578b2o296bo60bo$512b2o241bo7bo
41bo579b2o294bo60bo$512b2o241bo2bo3bobo41bo580bo292bo61bo$756bobo3b2o
43bo580b2o290bo61bo$757bo50bo581b2o287bo62bo$809bo582bo286bo62bo$810b
2o581b2o283bo63bo$756b2o3b2ob2o46bo582b2o281bo62bo$755bobo2bo3b2o47bo
583bo279bo63bo$754b2o5bo52bo583b2o277bo63bo$755b2o3bobo52bo584b2o275b
o15bo46bo$760bo2b4o49bo585bo273bo16bo46bo$765b2o50bo585b2o271bo16bo45b
o$527b2o221bo9b2o3b2o51b2o585b2o269bo16bo44bo$526bo2bo212b2o5b3o11b2o
55bo586b2o267bo16bo43bo$527b2o215bo3bo2bo8bobobo56bo587bo265bo17bo19b
o23bo$745bo2b2o10bo2bo58bo587b2o263bo17bo19bo23bo$743b2o78bo588b2o261b
o17bo18bo23bo$736b3o85bo589bo259bo18bo18bo22bo$735bob2obo8bob2obob2o67b
o589b2o257bo19bo16bo22bo$735bo3bobo6bobo3bo13b2o56b2o589b2o255bo20bo15b
o20b2o$735bo4b2ob2o3bo2bo4bo11b2o58bo590bo254bo21bo13bo20bo$736bob5ob
o7bo2bobo71bo590b2o252bo22b2o10bo20bo$737b3o3bo4b2o2bo2b2o73bo591b2o250b
o24b3o5b2o20bo$748b2o2b3o76bo592bo249bo27b5o21bo$752b3o77bo592b2o247b
o51b2o$833bo593b2o245bo50bo$541b2o218b2o71bo594bo245bo48b16o$540bo2bo
217b2o72bo594b2o243bo64b5o$541b2o293bo595b2o241bo69b2o$837b2o595b2o240b
o70b4o$839bo596bo240bo73b3o$840bo596b2o239bo75b2o$841bo597b2o238bo75b
o$842bo598bo238bo75b2o$843bo598b2o237bo75bo$738b2o104bo599b2o236bo75b
o$738b2o105bo600b2o228b3o80bo$846bo601b2o222b4o83bo$847bo602b2o219b2o
86bo$714b3o131bo603b3o214b2o89bo$556bo156bo3bo131bo605b2o211b2o90bo$555b
o157b2o3bo131bo606b2o208b2o91bo$558bo154b2o2b2o12b2o118bo607b3o204bo93b
o$556bo158bob2o12b2o119bo609b2o201b2o93bo$551bo2b4o156bob2o135b2o609b
2o199bo95bo$553bob3o157b3o137bo610b3o195bo96bo$550bo6bo151bo7bo138bo612b
2o192bo97bo$551b3o4bo150bo2bo3bobo138bo613b2o189b2o16b7obo72bo$542b3o
8b3o2bo151bobo3b2o140bo614b3o186bo15b2o8bo72bo$543b2o8bo157bo147bo616b
2o183bo14b2o10bo40b5o27bo$541bobo10b3o303bo617b2o180b2o12b2o12bo40bo4b
5o22bo$546bo314bo618b3o177bo12b2o13bo40bo9b2o20bo$533bo12b2o162b2o3b2o
b2o142bo620b2o174bo12bo15bo41bo10b2o18bo$532b3o12b2o160bobo2bo3b2o143b
o621b2o172bo12bo15bo41bo12bo17bo$531b2obo8bo3bo5b3obo150b2o5bo148bo622b
2o170bo11bo16bo41bo13bo17bo$530b2o9b2obobo11bo150b2o3bobo148bo623b3o167b
o11bo16bo40bo15bo16bo$531b2obo3b2o6bo2b2o6bo156bo2b4o145bo625b2o165bo
10bo17bo22b2o16bo16bo15bo$532b3o3b2o8b2o9bo159b2o146bo626b2o163bo9bo19b
o19b2obo16bo17bo14bo$533bo7b2ob2o3b2o6bo2b2o142bo9b2o3b2o147bo627b3o160b
o8b2o19bo19bo2bo16bo17bo13bo$543bo10bobo2b2o135b2o5b3o11b2o150b2o628b
2o158bo7b2o20bo19bo2bo15bo19bo12bo$554bobo141bo3bo2bo8bobobo152bo629b
2o155bo8bo21bo18b2o2bo15bo19bo12bo$553b2o144bo2b2o10bo2bo154bo630b3o152b
o8bo22bo17bo3bo15bo19bo12bo$697b2o174bo632b2o150bo7bo23bo17bo4bo14bo19b
o12bo$690b3o181bo633b2o147bo8bo23bo17bo4bo14bo19bo12bo$689bob2obo8bob
2obob2o163bo634b3o144bo8bo23bo17bo4bo14bo19bo11bo$689bo3bobo6bobo3bo13b
2o152bo636b2o142bo8bo23bo17bo4bo13bo20bo11bo$689bo4b2ob2o3bo2bo4bo11b
2o153bo637b2o139bo9bo23bo16bo5bo13bo19bo11bo$690bob5obo7bo2bobo166bo638b
3o136bo9bo24bo15bo5bo13bo19bo11b7o$691b3o3bo4b2o2bo2b2o168bo640b2o134b
o9bo24bo15bo5bo13bo18bo19b2o$702b2o2b3o171bo641b2o131bo10bo24bo15bo5b
o13bo18bo21bo$706b3o172b2o641b2o128bo11bo24bo15bo5bo13bo17bo23b2o$536b
2o345bo642b2o126bo11bo24bo15bo5bo12bo18bo25bo$536b2o177b2o167bo643b3o
122bo12bo24bo15bo5bo12bo17bo26bo$715b2o168bo645b2o120bo12bo24bo15bo5b
o12bo17bo27bo$886bo646b2o118bo12bo24bo15bo5bo12bo16bo28bo$887bo647b2o
115bo13bo24bo15bo5bo12bo16bo28bo$588bo299bo648b3o111bo14bo24bo14bo6bo
12bo15bo29bo$580b2o5b3o299b2o649b2o109bo14bo24bo14bo6bo12bo15bo29bo$582b
o3bo2bo301bo650b2o107bo14bo24bo14bo6bo12bo15bo29bo$583bo2b2o304bo651b
2o103b2o16bo23bo14bo6bo12bo14bo29bo$581b2o310bo652b2o100bo18bobo21bo14b
o6bo12bo14bo29bo$574b3o115b2o200bo653b3o96bo20b2o21bo14bo6bo12bo14bo28b
o$573bob2obo8bob2obob2o96b2o201bo655b4o91bo22bo21bo14bo6bo12bo14bo28b
o$551b2o20bo3bobo6bobo3bo303bo658b4o86bo23bo21bo14bo6bo12bo14bo27bo$550b
o2bo19bo4b2ob2o3bo2bo4bo302b2o660b4o81bo24bo21bo14bo6bo12bo14bo27bo$551b
2o21bob5obo7bo2bobo72b3o228bo663b3o77bo25bo21bo14bo6bo12bo15bo25bo$575b
3o3bo4b2o2bo2b2o5b2o65bo3bo228bo665b4o72bo26bo21bo14bo6bo13bo14bo24bo
$586b2o2b3o7b2o65b2o3bo228bo668b4o66b2o27bo21bo14bo6bo13bo15bo21b2o$590b
3o74b2o2b2o12b2o215bo671b3o60b3o29bo21bo14bo6bo14bo14bo19b2o$669bob2o
12b2o216bo673b4o55bo32bo21bo14bo5bo15bo15b3o13b3o$668bob2o232bo676b4o
48b3o33bo21bo14bo5bo15b2o17b13o$669b3o233b2o678b4o41b3o36bo20b3o13bo5b
o17bo$663bo7bo235bo681b3o6b2o29bo39bo18b2o16bo5bo17b4o$663bo2bo3bobo235b
o683b4o4bo27bo40bo16b2o18bo5bo20b2o$664bobo3b2o237bo686b4obo23b3o41bo
14b2o20bo5bo21bo$665bo244bo689b4o17b4o44bo13bo22bo5bo22bo$911bo692b5o
8b4o48bo13bo22bo5bo22bo$565b2o345bo696b8o52bo12bo23bo5bo22bo$564bo2bo
96b2o3b2ob2o239b2o754bo11bo24bo5bo23bo$565b2o96bobo2bo3b2o241bo753bo11b
o24bo4bo24bo$572b2o39bo48b2o5bo246bo752bo10bo25bo4bo24bo$572b2o38bobo
48b2o3bobo246bo751bo9bo26bo4bo24bo$612bobo53bo2b4o243bo750bo9bo25bo5b
o25bo$613bo59b2o244bo749bo9bo25bo6bo24bo$658bo9b2o3b2o245bo748bo8bo26b
o6bo24bo$650b2o5b3o11b2o248b2o746bo8bo26bo6bo24bo$576b2o74bo3bo2bo8bo
bobo250bo745bo8bo26bo6bo24bo$576b3o74bo2b2o10bo2bo252bo743bo9b2o24bo7b
o23b2o$575bo2bo72b2o272bo742bo10b2o23bo7b2o20b3o$576bobo3b2o60b3o279b
o741bo12b6o12b6o9b8o6b6o$577b2o3bobo58bob2obo8bob2obob2o261bo740bo18b
12o23b6o$578bob2o2bo58bo3bobo6bobo3bo13b2o250bo739bo$578bo2bob2o2b2o54b
o4b2ob2o3bo2bo4bo11b2o251b2o737bo$579bob2o3bo2bo54bob5obo7bo2bobo265b
o736bo$587b2o38bo17b3o3bo4b2o2bo2b2o267bo735bo$626bobo27b2o2b3o270bo734b
o$626bobo31b3o271bo732bo$627bo307bo731bo$669b2o265bo730bo$669b2o266bo
729bo$938bo728bo$939b2o726bo$941bo725bo$942bo724bo$654bo288bo723bo$653b
obo288bo721bo$653bobo289bo720bo$654bo2bo288bo719bo$655b2o290bo717bo$655b
o292bo716bo$656b2o291bo715bo$654bob2o292bo714bo$654b2o295bo712bo$952b
o711bo$953b2o709bo$955bo708bo$956bo707bo$957bo706bo$958bo705bo$959bo704b
o$960bo703bo$961bo702bo$962bo700bo$963bo699bo$964bo698bo$965bo696bo$966b
o695bo$967b2o693bo$969bo692bo$970bo690bo$971bo689bo$972bo688bo$973bo687b
o$974bo686bo$975bo685bo$976bo684bo$977bo683bo$978bo682bo$979bo681bo$980b
o679bo$981b2o677bo$983bo675bo$984bo674bo$985bo672bo$986bo671bo$987bo670b
o$988bo669bo$989bo668bo$990bo666bo$991bo665bo$992bo664bo$993bo663bo$994b
o662bo$995bo661bo$996bo659bo$997bo658bo$998b2o656bo$1000bo654bo$1001b
o653bo$1002bo652bo$1003bo651bo$1004bo649bo$1005bo648bo$1006bo647bo$1007b
o646bo$1008bo644bo$1009bo643bo$1010bo641bo$1011bo640bo$1012bo638bo$1013b
o637bo$1014bo636bo$1015bo635bo$1016bo634bo$1017b2o631bo$1019bo630bo$1020b
o629bo$1021bo628bo$1022bo627bo$1023bo626bo$1024bo624bo$1025bo623bo$1026b
o621bo$1027bo620bo$1028bo619bo$1029bo617bo$1030bo616bo$1031bo615bo$1032b
o613bo$1033bo612bo$1034bo611bo$1035bo609bo$1036bo608bo$1037b2o606bo$1039b
o605bo$1040bo603bo$1041bo602bo$1042bo601bo$1043bo599bo$1044bo598bo$1045b
o596bo$1046bo595bo$1047bo594bo$1048bo592bo$1049bo591bo$1050bo590bo$1051b
2o587bo$1053bo586bo$1054bo584bo$1055bo583bo$1056bo581bo$1057bo580bo$1058b
o578bo$1059bo577bo$1060b2o574bo$1062bo573bo$1063bo571bo$1064bo570bo$1065b
o568bo$1066bo567bo$1067bo565bo$1068bo564bo$1069b2o561bo$1071bo560bo$1072b
o558bo$1073bo556bo$1074bo555bo$1075bo553bo$1076bo551bo$1077b2o548bo$1079b
o547bo$1080bo545bo$1081bo543bo$1082bo542bo$1083bo540bo$1084bo538bo$1085b
o536bo$1086b2o534bo$1088bo532bo$1089bo530bo$1090bo529bo$1091bo527bo$1092b
o525bo$1093bo523bo$1094bo522bo$1095b2o519bo$1097bo517bo$1098bo515bo$1099b
o513bo$1100bo512bo$1101bo510bo$1102bo508bo$1103bo506bo$1104b2o504bo$1106b
o502bo$1107bo500bo$1108bo499bo$1109bo497bo$1110bo495bo$1111b2o493bo$1113b
o491bo$1114bo489bo$1115bo487bo$1116b2o485bo$1118bo483bo$1119bo481bo$1120b
2o478bo$1122bo477bo$1123bo475bo$1124bo473bo$1125b2o470bo$1127bo468bo$
1128bo467bo$1129bo465bo$1130b2o462bo$1132bo460bo$1133bo458bo$1134b2o456b
o$1136bo454bo$1137bo452bo$1138bo450bo$1139b2o447bo$1141bo445bo$1142bo
443bo$1143bo441bo$1144b2o438bo$1146bo436bo$1147bo434bo$1148bo432bo$1149b
2o429bo$1151bo427bo$1152bo424b2o$1153b2o421bo$1155bo419bo$1156bo417bo
$1157bo414b2o$1158b2o411bo$1160bo409bo$1161bo407bo$1162b2o404bo$1164b
2o400b2o$1166b2o397bo$1168b2o394bo$1170b2o391bo$1172bo388b2o$1173b2o385b
o$1175b2o381b2o$1177b2o378bo$1179b2o374b2o$1181b2o370b2o$1183bo367b2o
$1184b2o364bo$1186b2o360b2o$1188b2o356b2o$1190b2o352b2o$1192b2o348b2o
$1194bo345b2o$1195b2o341b2o$1197b2o338bo$1199b2o334b2o$1201b2o330b2o$
1203b2o327bo$1205b2o323b2o$1207b2o320bo$1209b3o315b2o$1212b2o311b2o$1214b
3o307bo$1217b2o303b2o$1219b3o298b2o$1222b2o292b4o$1224b3o286b3o$1227b
2o280b4o$1229b3o275b2o$1232b2o271b2o$1234b3o266b2o$1237b2o262b2o$1239b
3o257b2o$1242b2o253b2o$1244b3o248b2o$1247b2o242b4o$1249b3o236b3o$1252b
3o229b4o$1255b3o222b4o$1258b4o214b4o$1262b3o206b5o$1265b3o197b6o$1268b
3o186b8o$1271b3o178b5o$1274b3o172b3o$1277b3o167b2o$1280b4o160b3o$1284b
3o154b3o$1287b3o147b4o$1290b4o137b6o$1294b4o128b5o$1298b5o119b4o$1303b
4o111b4o$1307b4o102b5o$1311b5o91b6o$1316b4o63b24o$1320b4o48b11o$1324b
4o10b34o$1328b3o3b4o$1329b6o$1335b2o!

[TheWayOfTheCon]

Regarding the properties of rules:

Entropy: The average number of generations it takes for random patterns to stabilize

Spurtiness: How much a universe increases in bounding box after a soup stabilizes

Deflater: A rule where chaotic patterns stabilize by slowly shrinking into nothingness, and may or may not leave behind ash. Example

Code: Select all

x = 64, y = 64, rule = B345/S38
2obob3o2bo3bobob2obob5obobob4obobobob2o6b2o3b6o$o3bob6ob2ob4o2b2o5bob
2ob2o2bobobo2bo4bo3bobobo2b3o$o3b2ob2ob3ob2o4b3ob2o2bobobo4bobo3b2o2b
o9bobobobo$obo2b5obo3bobo5b5ob2o3b4obob2ob3o4bo3b2obo4bo$bob2o2b7o2bo
7b2ob5ob2o2bo4bo3bo7bob2o3b2o$3b4obo2b2ob6obobo7bo2b5ob3o2b3o2b2ob4o2b
2o2bo$ob2ob6obob5ob2ob2ob3o5bo3bo2bo2b2obo7b8o$bo5bob5obo2b3obobob4o3b
o2bobob2o2b4obob3ob4obob2o$2ob6obob2obo5b3o2b2o2bo4b3obobo4b2o2bob2ob
o4bo2bo$2obob2o2bob2o4b3obo3b2ob2o2bobobobo2bob3obobo4bob2o2b2obo$5o2b
3o2bob4o2b3obobob5o3b3obo2bo3b9ob3o$b2o3bo4bo2b5obo3b2obo3b2obobobo3b
o2b2o2b9o5bo$5b2ob3obo2b2obo2b3obo2bob4ob3o2bo2b3ob2ob2ob2obo2b4o$2b6o
b2ob3obobobob2obob4o3b4ob3o2bo2bob2o3bob3o2bo$bo2b2ob2obobob4obo6b5o2b
o2bobobo2b2ob3obob3o3b6o$b2ob3o3b2o3bo4bo2b5obob7obo4b4obobo2b3ob2o$4b
o3bo2b2o5bo2b3o2b2o5b2o3bo2bobo4bo2bo2bo3b3o$5bo6bob4o2bo3bob2obobo2b
ob2obobob2ob5o2b11o$b2ob2o3bobo3b5o2bobob2o3bobob2obob3obo2bo5bo3bo2b
3o$4o2b5o2b3o2bo2b4ob2o5bo5bo2bo2b3obo2bo2bo5bo$7b3ob7obo2b2o5bo3b2ob
7o3b3ob2ob2o2b2o3bo$4o2bobo3bo6bo3bob4obo6bob4o2b2o3b4obo2b3ob2o$bob4o
bo8b2o2b2o2b3ob2o3bob3o4bobo4bobo2bobob3obo$3bob3o2b2obobo2bobobo3bob
obob2ob4o3bo3bo3bob2ob2ob2obobo$b2o2bob3o2b2o2b2ob3ob2o3bob4ob2obobo2b
2o3bo2b4obo3bob2o$5ob4ob2o2bob6o7b3obo3bo2bo5bob3o2bo2bobo2b2o$2b2obo
3bo3bo2b2o3bo2b3o2bobob4obo3b2o5b2obo2b3o2b2obo$b2ob2obob2o2bobob2o5b
3obo2bo3bo2bo2bobobob5obo4bobobo$b4o4bo4bob8o3b4ob3o3b2obobobo2b2obo3b
o2b2o2bo$b2obo3b4obob2o4b2o3bobob2ob6o3bobo2bo4bo6b2obo$5b2ob4o2b2o2b
ob3obo2bo2b2obobo2b2obo2b2o2bo2bo5bob4o$2o2b2obo2bob2obo3b4ob2o2bobob
2ob5obo2b2obo2bo2bo2bob4obo$3obobob2ob2o2b2ob3o4bob2o2b4o4bo6b2o4b2ob
3ob5o$o2b3ob2o2bobob4ob2ob2ob3o2b2obobobo2bobob2obobo2b2o2bo2b2obo$b2o
4bobo2b2obobob2ob2obob6o2b2o2bobo3bo3b3ob3o6bo$4b2o2b3o2b2o5b4ob3ob3o
bo2bobo2bob3ob2ob3ob4o2bo$5o2b2o4b5o5b2o3bo2b2o2b3ob2o2bobobo2bo3bob2o
b3obo$5b5o5b2o4b6ob3o3b2o3bob2obo2b2ob2obob4ob2o$5obo6bobo2b5obobob2o
bobo6b4o2b2o3bob2obo2bo2bo$2bo2b2ob2obob2obobobobo2b4ob2ob3o3bob2o2bo
2bobo2bob3obo3bo$b2o2b6o3bo2b2o3bobob2o2bob2ob3obo4bo2b2ob2o2b2o2b4ob
o$b2o2bob2o2b4o8b2o3b2o2b3obob4o3b3o6b2obo2bobo$3bo2bobob3obo2bo3b2ob
2o5b4o2bo3b2obo3bobo2bo3bo2b2o$2o2bob3ob2obo2b3obo2bobo2bob2ob2ob4obo
bobob6ob3o2b2obo$o3b2o2bo2bob2obo2b4obo7b4o2bobob3obo3bobob2obo2bobo$
o2b4o4b2obo6b2obobob2o2bobobo2b2ob2ob2obob4ob2obo2b3o$4b3o3bo2bo2bo2b
5ob9o3bo6bob3o2b2ob2o3b4o$o5b4obobo3bo2bo4bo2bob2ob2ob3ob2ob2o2bob2o2b
obo3bo$3b2o2bo3bo2b2ob2o2b3o2b2o6b2obo4bo5bo2b6ob4obo$2b2ob2ob2o5bo2b
ob2obobobob3ob2o3b2o3b2obo3bo2bo4b2o3bo$2b2ob3ob2obobobo2bo5bo5b2ob2o
bob3obobo2bo2bo2b2o2b2o2bo$o3b3ob2obo2bobob2obob2o3b4obob4obo2bo2b2o3b
ob6ob2o$2b3ob2o2b3o2b4o3bobob2obo2bo3bo2b2obo3b2obobo2bo2b2o2bo$o3bo3b
3obo5b2obo2b3o3b2o4bo2bo2bo4bob2obob2obo2bo$3obob4obo6bobo2bo6b2obob4o
2bo2b2ob7o2b2ob2obo$2b2o2b3obo2bobobo3b2ob5obob2o4b2o2bobo3b3obo2bo2b
2o2b2o$obo2bo2bo3b3ob2o2b2obo2bobo2bob2ob3o3b2obob3ob2obob2obo$3o2bo5b
2o4bob5obob2o2bob4o4bo2b2ob3o2bob4obo$o2bobobobo2b4obobob2ob4o2b2o6b2o
bobo2b4o2bo3bob5o$4b2obo2bob2o3b3o2b2obob5o5b8o3b2ob2o3bob2o3bo$7o2bo
b2ob2o3b2o4bo2b7o2bo2bob3o3bob5ob7o$4bob6o2b2o3b2o2b2o2b3obob2ob7obob
ob2ob2o8b3o$2b4ob7ob4ob2obo3b2o2b2o2bo4b2o3bo3b4o5b2ob2o$o2b2o3b2obob
o3b3obo2bo2bob7o2b3o3bo3bo2bo2b3ob2o!
#C [[ RANDOMIZE2 ]]

[NNlk05]

Entropy: The average number of generations it takes for random patterns to stabilize

Spurtiness: How much a universe increases in bounding box after a soup stabilizes

Some formalisations:
Entropy: For all patterns within an AxB bounding box. Entropy is defined as the amount of mean ticks in which the pattern produces no more new behaviour, divided by A*B (it is because bigger soups take longer to stabilise.). (We can also avoid the vague "no more new behaviour" by running the pattern in a bounded grid.)
Spurtiness: For all patterns within an AxB bounding box, and let the size of the pattern at the point in which it produces no more new behaviour be A'xB'. Spurtiness is: ((A'-A)+(B'-B)/2)^2 (Squared because it is the "area" in which it expands.)

I may as well tack on one of my own as well:
Explosiveness Index (ExI): For all patterns with density D and withing a BB of AxB. ExI is the D in which, a) any D' bigger then D has an ending population is bigger then the starting population. and b) any D' smaller then D has an ending population is smaller then the starting population. ExI is 1-D on a bounded grid of AxB as AxB tends to infinity.