Thread for basic questions

[TinkerMagus]

Does the pattern of lightweight, middleweight, and heavyweight spaceships continue ? I made three guesses but all of them failed ? Does this family end with only these 3 ?

Code: Select all

x = 33, y = 37, rule = B3/S23
10bo7b2o$o2bo4bo3bo3bo4bo$4bo8bo8bo$o3bo3bo4bo2bo5bo$b4o4b5o3b6o13$28b
o$4b3o20b3o$2bo5bo16bo5bo$9bo22bo$2bo6bo15bo6bo$3b7o16b7o9$16bo$15bob
o$13bo5bo$20bo$13bo6bo$14b7o!

OWSS
xWSS
standard spaceship

Thanks for the links. Are we allowed to suspect that the Overweight spaceship is an imposter here ? Myaybe we are continuing the sequence wrong ? Is there a fourth member that unlike the Overweight spaceship is actually an spaceship ?

[otismo]

Welcome to our Community Tinker Magus !

The simple answer to your question is a great big NO !

But I know where you are coming from - I am trying to extend the Queen Bee "Family" -

to the next "size", which would be the KIng Bee !

Bigger SpaceShips require support/stabilization, so our XWSS "family" comprises only the three.

But your interest, I am sure, will lead you to some interesting stuff !

Cheers !

[squareroot12621]

I mean, otismo's right about the stabilization part—here are the next three spaceships in the "pattern" (though there can be many different ways to stabilize a really long OWSS):

Code: Select all

x = 39, y = 18, rule = B3/S23
b4o10b4o12b4o$6o8b6o10b6o$4ob2o7b4ob2o9b4ob2o$4b2o12b2o14b2o3$4bo13b2o
14b2o$o5bo7bo6bo7bo7bo$7bo14bo15bo$o6bo6bo7bo6bo8bo$b7o7b8o7b9o4$b4o10b
4o12b4o$6o8b6o10b6o$4ob2o7b4ob2o9b4ob2o$4b2o12b2o14b2o!

[otismo]

we could say "family" instead of "pattern" -

family-without-support AND family-with-support

but as long as we can understand one another, we are O. K.

NomenClatureWise

LWSS - MWSS - HWSS

AND OWSS - for everything bigger...

[TinkerMagus]

Welcome to our Community Tinker Magus !

The simple answer to your question is a great big NO !

But I know where you are coming from - I am trying to extend the Queen Bee "Family" -

to the next "size", which would be the KIng Bee !

Bigger SpaceShips require support/stabilization, so our XWSS "family" comprises only the three.

But your interest, I am sure, will lead you to some interesting stuff !

Cheers !

Thanks for the welcome. Just read about Queen Bee and its stabilization methods and I was like who figured a block can eat a beehive and how !
What a fascinating project to search for the King. Inform me if you got anywhere. We don't even know how many beehives it will make before replicating itself. That is if it exists after all ! But as you said, even if it doesn't exist we might find some other interesting creatures searching for these missing members of these families.

[Haycat2009]

Is the only use of the half-bakery/fleet catalyst to restore a ship?

[confocaloid]

You might want to post the catalyst / reaction in question. Not everyone who potentially could answer the question is familiar with all the local jargon.

[get_Snacked]

how does Barrister work; mostly asking: how does it find catalysts? i want an in-depth explanation.

[confocaloid]

how does Barrister work; mostly asking: how does it find catalysts? i want an in-depth explanation.

viewtopic.php?f=9&t=6231#p176499
https://github.com/mvr/barrister

[Mathemagician314]

What kind of quadratic growth is Max? Would it qualify as MMS (for the moving corners, the moving T-tetromino wave, and the stable zebra stripes), or something else?

Also, is that c/2 T-tetromino wave between the corners anywhere on the wiki? (It's easier to see in the space nonfiller -- I can clarify if needed but I think you know what I'm talking about.)

[get_Snacked]

how does Barrister work; mostly asking: how does it find catalysts? i want an in-depth explanation.

viewtopic.php?f=9&t=6231#p176499
https://github.com/mvr/barrister

i'm asking about how it finds catalysts, not the parameters. is it just brute-force?

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

What is the average density of spacedust in a large spacedusty pattern (e.g. spaghetti monster, Sir Robin, any large elementary ship)?

I'm guessing 37.02% (based on mean field approximation).

Also, am I right to say that mean field theory gives a good approximation of the density of a spacedusty pattern in OCA?

[confocaloid]

What is the average density of spacedust in a large spacedusty pattern (e.g. spaghetti monster, Sir Robin, any large elementary ship)?

What is your definition of 'spacedusty'?
What is the expected answer for 232P7H3V0?

Code: Select all

x = 49, y = 44, rule = B3/S23
17b3o9b3o$16bo3bo7bo3bo$15bobo3bo5bo3bobo$15bo3b2o7b2o3bo$15b3o3bo5bo
3b3o$14bo3b2ob3ob3ob2o3bo$14b2o2bo3b2ob2o3bo2b2o$13b3o3b5ob5o3b3o$21b
o5bo$18bo11bo$13bo4bo11bo4bo$13bo4b4o5b4o4bo$17bo4bo3bo4bo$16b2ob3o5b
3ob2o$16b2obo3bobo3bob2o$12b3o7b2ob2o7b3o$11bo3b2o4bobobobo4b2o3bo$10b
o3bo19bo3bo$10bo9b3o3b3o9bo$14bo6b2o3b2o6bo$9bo12bo3bo12bo$9bo2b2o5bo
9bo5b2o2bo$10b2o8bo7bo8b2o$8bo12bo5bo12bo$7b3o29b3o$6b2o2bo27bo2b2o$9b
2o27b2o$9bo29bo2$6bo35bo$7b2o31b2o$5bo2bo31bo2bo$4bo39bo$3b2o39b2o$2b
4o37b4o$bo45bo$b3o41b3o$o47bo$2b2o41b2o$4bo39bo$2b2o41b2o$3bo41bo$2bo
43bo$2bo43bo!
#C [[ THEME MCell ZOOM 8 TRACKLOOP 7 0/7 -3/7 ]]

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

What is the expected answer for 232P7H3V0?

Code: Select all

x = 49, y = 44, rule = B3/S23
17b3o9b3o$16bo3bo7bo3bo$15bobo3bo5bo3bobo$15bo3b2o7b2o3bo$15b3o3bo5bo
3b3o$14bo3b2ob3ob3ob2o3bo$14b2o2bo3b2ob2o3bo2b2o$13b3o3b5ob5o3b3o$21b
o5bo$18bo11bo$13bo4bo11bo4bo$13bo4b4o5b4o4bo$17bo4bo3bo4bo$16b2ob3o5b
3ob2o$16b2obo3bobo3bob2o$12b3o7b2ob2o7b3o$11bo3b2o4bobobobo4b2o3bo$10b
o3bo19bo3bo$10bo9b3o3b3o9bo$14bo6b2o3b2o6bo$9bo12bo3bo12bo$9bo2b2o5bo
9bo5b2o2bo$10b2o8bo7bo8b2o$8bo12bo5bo12bo$7b3o29b3o$6b2o2bo27bo2b2o$9b
2o27b2o$9bo29bo2$6bo35bo$7b2o31b2o$5bo2bo31bo2bo$4bo39bo$3b2o39b2o$2b
4o37b4o$bo45bo$b3o41b3o$o47bo$2b2o41b2o$4bo39bo$2b2o41b2o$3bo41bo$2bo
43bo$2bo43bo!
#C [[ THEME MCell ZOOM 8 TRACKLOOP 7 0/7 -3/7 ]]

I tried to answer your question. I was originally thinking of something relating to the envelope, but ships don't really have an 'envelope' per se, so I oscillatorified the ship (using your very helpful shipvol script) and got this:

Code: Select all

x = 343, y = 308, rule = R10,C2,S5-7,B5-7,NW000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000200000020000002000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000200000010000002000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000200000020000002000
14b7o301b7o$14b7o301b7o$14b7o301b7o$14b7o301b7o$14b7o301b7o$14b7o301b
7o$14b7o301b7o$14b7o301b7o$14b7o301b7o$14b7o301b7o$14b7o301b7o$14b7o301b
7o$14b7o301b7o$14b7o301b7o$21b7o287b7o$21b7o287b7o$21b7o287b7o$21b7o287b
7o$21b7o287b7o$21b7o287b7o$21b7o287b7o$14b14o287b14o$14b14o287b14o$14b
14o287b14o$14b14o287b14o$14b14o287b14o$14b14o287b14o$14b14o287b14o$28b
7o273b7o$28b7o273b7o$28b7o273b7o$28b7o273b7o$28b7o273b7o$28b7o273b7o$
28b7o273b7o$14b14o287b14o$14b14o287b14o$14b14o287b14o$14b14o287b14o$14b
14o287b14o$14b14o287b14o$14b14o287b14o$7o329b7o$7o329b7o$7o329b7o$7o329b
7o$7o329b7o$7o329b7o$7o329b7o$7b21o287b21o$7b21o287b21o$7b21o287b21o$
7b21o287b21o$7b21o287b21o$7b21o287b21o$7b21o287b21o$7b7o315b7o$7b7o315b
7o$7b7o315b7o$7b7o315b7o$7b7o315b7o$7b7o315b7o$7b7o315b7o$14b28o259b28o
$14b28o259b28o$14b28o259b28o$14b28o259b28o$14b28o259b28o$14b28o259b28o
$14b28o259b28o$21b14o273b14o$21b14o273b14o$21b14o273b14o$21b14o273b14o
$21b14o273b14o$21b14o273b14o$21b14o273b14o$28b7o273b7o$28b7o273b7o$28b
7o273b7o$28b7o273b7o$28b7o273b7o$28b7o273b7o$28b7o273b7o$35b7o14b7o217b
7o14b7o$35b7o14b7o217b7o14b7o$35b7o14b7o217b7o14b7o$35b7o14b7o217b7o14b
7o$35b7o14b7o217b7o14b7o$35b7o14b7o217b7o14b7o$35b7o14b7o217b7o14b7o$
49b14o217b14o$49b14o217b14o$49b14o217b14o$49b14o217b14o$49b14o217b14o
$49b14o217b14o$49b14o217b14o$42b7o245b7o$42b7o245b7o$42b7o245b7o$42b7o
245b7o$42b7o245b7o$42b7o245b7o$42b7o245b7o8$63b7o203b7o$63b7o203b7o$63b
7o203b7o$63b7o203b7o$63b7o203b7o$63b7o203b7o$63b7o203b7o$63b14o189b14o
$63b14o189b14o$63b14o189b14o$63b14o189b14o$63b14o189b14o$63b14o189b14o
$63b14o189b14o$42b14o14b7o189b7o14b14o$42b14o14b7o189b7o14b14o$42b14o
14b7o189b7o14b14o$42b14o14b7o189b7o14b14o$42b14o14b7o189b7o14b14o$42b
14o14b7o189b7o14b14o$42b14o14b7o189b7o14b14o$49b21o203b21o$49b21o203b
21o$49b21o203b21o$49b21o203b21o$49b21o203b21o$49b21o203b21o$49b21o203b
21o$56b7o84b7o35b7o84b7o$56b7o84b7o35b7o84b7o$56b7o84b7o35b7o84b7o$56b
7o84b7o35b7o84b7o$56b7o84b7o35b7o84b7o$56b7o84b7o35b7o84b7o$56b7o84b7o
35b7o84b7o$70b14o56b7o49b7o56b14o$70b14o56b7o49b7o56b14o$70b14o56b7o49b
7o56b14o$70b14o56b7o49b7o56b14o$70b14o56b7o49b7o56b14o$70b14o56b7o49b
7o56b14o$70b14o56b7o49b7o56b14o$63b7o14b14o35b7o63b7o35b14o14b7o$63b7o
14b14o35b7o63b7o35b14o14b7o$63b7o14b14o35b7o63b7o35b14o14b7o$63b7o14b
14o35b7o63b7o35b14o14b7o$63b7o14b14o35b7o63b7o35b14o14b7o$63b7o14b14o
35b7o63b7o35b14o14b7o$63b7o14b14o35b7o63b7o35b14o14b7o$63b7o84b7o21b7o
84b7o$63b7o84b7o21b7o84b7o$63b7o84b7o21b7o84b7o$63b7o84b7o21b7o84b7o$
63b7o84b7o21b7o84b7o$63b7o84b7o21b7o84b7o$63b7o84b7o21b7o84b7o$98b7o42b
14o21b14o42b7o$98b7o42b14o21b14o42b7o$98b7o42b14o21b14o42b7o$98b7o42b
14o21b14o42b7o$98b7o42b14o21b14o42b7o$98b7o42b14o21b14o42b7o$98b7o42b
14o21b14o42b7o$70b7o63b21o21b21o63b7o$70b7o63b21o21b21o63b7o$70b7o63b
21o21b21o63b7o$70b7o63b21o21b21o63b7o$70b7o63b21o21b21o63b7o$70b7o63b
21o21b21o63b7o$70b7o63b21o21b21o63b7o$70b7o21b7o133b7o21b7o$70b7o21b7o
133b7o21b7o$70b7o21b7o133b7o21b7o$70b7o21b7o133b7o21b7o$70b7o21b7o133b
7o21b7o$70b7o21b7o133b7o21b7o$70b7o21b7o133b7o21b7o$77b7o21b14o28b7o7b
7o7b7o7b7o28b14o21b7o$77b7o21b14o28b7o7b7o7b7o7b7o28b14o21b7o$77b7o21b
14o28b7o7b7o7b7o7b7o28b14o21b7o$77b7o21b14o28b7o7b7o7b7o7b7o28b14o21b
7o$77b7o21b14o28b7o7b7o7b7o7b7o28b14o21b7o$77b7o21b14o28b7o7b7o7b7o7b
7o28b14o21b7o$77b7o21b14o28b7o7b7o7b7o7b7o28b14o21b7o$84b21o49b14o7b14o
49b21o$84b21o49b14o7b14o49b21o$84b21o49b14o7b14o49b21o$84b21o49b14o7b
14o49b21o$84b21o49b14o7b14o49b21o$84b21o49b14o7b14o49b21o$84b21o49b14o
7b14o49b21o$112b14o7b7o21b7o7b7o21b7o7b14o$112b14o7b7o21b7o7b7o21b7o7b
14o$112b14o7b7o21b7o7b7o21b7o7b14o$112b14o7b7o21b7o7b7o21b7o7b14o$112b
14o7b7o21b7o7b7o21b7o7b14o$112b14o7b7o21b7o7b7o21b7o7b14o$112b14o7b7o
21b7o7b7o21b7o7b14o$112b14o7b21o35b21o7b14o$112b14o7b21o35b21o7b14o$112b
14o7b21o35b21o7b14o$112b14o7b21o35b21o7b14o$112b14o7b21o35b21o7b14o$112b
14o7b21o35b21o7b14o$112b14o7b21o35b21o7b14o$119b7o28b7o21b7o28b7o$119b
7o28b7o21b7o28b7o$119b7o28b7o21b7o28b7o$119b7o28b7o21b7o28b7o$119b7o28b
7o21b7o28b7o$119b7o28b7o21b7o28b7o$119b7o28b7o21b7o28b7o$91b7o28b28o35b
28o28b7o$91b7o28b28o35b28o28b7o$91b7o28b28o35b28o28b7o$91b7o28b28o35b
28o28b7o$91b7o28b28o35b28o28b7o$91b7o28b28o35b28o28b7o$91b7o28b28o35b
28o28b7o$91b7o28b7o77b7o28b7o$91b7o28b7o77b7o28b7o$91b7o28b7o77b7o28b
7o$91b7o28b7o77b7o28b7o$91b7o28b7o77b7o28b7o$91b7o28b7o77b7o28b7o$91b
7o28b7o77b7o28b7o$126b7o77b7o$126b7o77b7o$126b7o77b7o$126b7o77b7o$126b
7o77b7o$126b7o77b7o$126b7o77b7o$147b7o35b7o$147b7o35b7o$147b7o35b7o$147b
7o35b7o$147b7o35b7o$147b7o35b7o$147b7o35b7o$91b21o21b35o7b35o21b21o$91b
21o21b35o7b35o21b21o$91b21o21b35o7b35o21b21o$91b21o21b35o7b35o21b21o$
91b21o21b35o7b35o21b21o$91b21o21b35o7b35o21b21o$91b21o21b35o7b35o21b21o
$98b14o14b7o21b14o7b14o21b7o14b14o$98b14o14b7o21b14o7b14o21b7o14b14o$
98b14o14b7o21b14o7b14o21b7o14b14o$98b14o14b7o21b14o7b14o21b7o14b14o$98b
14o14b7o21b14o7b14o21b7o14b14o$98b14o14b7o21b14o7b14o21b7o14b14o$98b14o
14b7o21b14o7b14o21b7o14b14o$98b7o21b14o7b21o7b21o7b14o21b7o$98b7o21b14o
7b21o7b21o7b14o21b7o$98b7o21b14o7b21o7b21o7b14o21b7o$98b7o21b14o7b21o
7b21o7b14o21b7o$98b7o21b14o7b21o7b21o7b14o21b7o$98b7o21b14o7b21o7b21o
7b14o21b7o$98b7o21b14o7b21o7b21o7b14o21b7o$105b21o21b7o35b7o21b21o$105b
21o21b7o35b7o21b21o$105b21o21b7o35b7o21b21o$105b21o21b7o35b7o21b21o$105b
21o21b7o35b7o21b21o$105b21o21b7o35b7o21b21o$105b21o21b7o35b7o21b21o$105b
7o21b14o49b14o21b7o$105b7o21b14o49b14o21b7o$105b7o21b14o49b14o21b7o$105b
7o21b14o49b14o21b7o$105b7o21b14o49b14o21b7o$105b7o21b14o49b14o21b7o$105b
7o21b14o49b14o21b7o$105b7o7b7o21b7o35b7o21b7o7b7o$105b7o7b7o21b7o35b7o
21b7o7b7o$105b7o7b7o21b7o35b7o21b7o7b7o$105b7o7b7o21b7o35b7o21b7o7b7o
$105b7o7b7o21b7o35b7o21b7o7b7o$105b7o7b7o21b7o35b7o21b7o7b7o$105b7o7b
7o21b7o35b7o21b7o7b7o$112b7o21b7o49b7o21b7o$112b7o21b7o49b7o21b7o$112b
7o21b7o49b7o21b7o$112b7o21b7o49b7o21b7o$112b7o21b7o49b7o21b7o$112b7o21b
7o49b7o21b7o$112b7o21b7o49b7o21b7o$119b21o63b21o$119b21o63b21o$119b21o
63b21o$119b21o63b21o$119b21o63b21o$119b21o63b21o$119b21o63b21o!

I got a (avgpop)/(cells in envelope) of 12194/31038 ≈ 39.287%, which is quite close to the mean field density. Which brings me to another question: is my proposed measure a good measure for the density of an oscillator/ship?

[otismo]

Welcome to our Community Tinker Magus !

The simple answer to your question is a great big NO !

But I know where you are coming from - I am trying to extend the Queen Bee "Family" -

to the next "size", which would be the KIng Bee !

Bigger SpaceShips require support/stabilization, so our XWSS "family" comprises only the three.

But your interest, I am sure, will lead you to some interesting stuff !

Cheers !

Thanks for the welcome. Just read about Queen Bee and its stabilization methods and I was like who figured a block can eat a beehive and how !
What a fascinating project to search for the King. Inform me if you got anywhere. We don't even know how many beehives it will make before replicating itself. That is if it exists after all ! But as you said, even if it doesn't exist we might find some other interesting creatures searching for these missing members of these families.

What is a king bee?

@ HtH :

Thank You for your interest !

King Bee :

Code: Select all

x = 7, y = 6, rule = B3/S23
3bo$2b3o$b2ob2o$2o3b2o$bo3bo$bo3bo!

FireCloud that morphs into King Bee and a Block :

Code: Select all

x = 90, y = 36, rule = B3/S23
85b2o$85b2o8$86bo$2bo46bo35b3o$2b2o4b2o31bo5b3o34b5o$3b2o3b2o34bob3o
34b2o3b2o$b2o5b2o32bob5o$2b4o35b2o$2o6bo32b2o40b2o$o4b3o33bob3obo34bo$
6bo34b2o42bo$41b3o3bo34bo2bo$40b2o2b3o35b2ob2o$43bobo38b2o$43bobo$44b
2o$46bo34b2o3b2o$45bo35b2o3b2o$45bo36b5o$83bobo2$83b3o6$83b2o$83b2o!

The Pattern above is a row of three Patterns, two Pi-injector FireClouds

and a Gosper Glider Gun. Left-hand FC morphs into a KB which morphs into a Pulsar.

Right-hand FC ( center Pattern ) morphs into a King Bee and a Block;

the King Bee progresses thru its phases, emitting its Blinker and then disappearing.

JP21's King Bee Stabilization :

Code: Select all

x = 40, y = 47, rule = B3/S23
8b2o2b2o12b2o2b2o$8bo2bobo12bobo2bo$9b3o16b3o$6b3o4bo5b2o5bo4b3o$5bo3b
obobo3b6o3bobobo3bo$6bobo4b2ob8ob2o4bobo$5b2ob2ob2ob2o8b2ob2ob2ob2o$9b
obo3bo8bo3bobo$9bobo4b8o4bobo$10bo6b6o6bo$19b2o$4b2o28b2o$3bob3obo21bo
4bo$3bo4b2o9bo9b2obobobo$2b2obobo10b3o8b2o3bob2o$bo3b2ob3o5b3ob2o8bob
3o3bo$o2b2o3b3o6b2ob3o7bo4b2o2bo$3o2b2o3b2o4b3ob2o8b3obo2b3o$3bobo3b3o
6b3o9b2o3b2o$2bo2b2o3b2o7bo10b3obo2bo$2b3o3b3o19bo4b3o$5b2ob3o19bob3o$
2b2obobo11b2o8b2o3bob2o$3bo4b2o7b6o6b2obobobo$3bob3obo6b8o7bo4bo$4b2o
9bo8bo9b2o$14b2o8b2o$12b3ob8ob3o$11bob2o2b6o2b2obo$10b2ob2o4b2o4b2ob2o
$11bo2b2o8b2o2bo$9bo2bobo10bobo2bo$9b2obobobo6bobobob2o$12bo2b2o6b2o2b
o$9b2obo14bob2o$9bobo16bobo5$19bo$17b4o$16bobob2o$11b2o2bo2bob3o8b2o$
11b2o3bobob2o9b2o$17b4o$19bo!

King Bee Stabilisation using p28 Traffic Light Hassler by JP21 AND Queen Bee Shuttle.

The King Bee is on Life Support here, but at least he is ALIVE !

King Bee Morphology compared with Queen Bee :

Code: Select all

x = 857, y = 171, rule = LifeHistory
.3D3.D9.D5.D.D2.D17.D3.D3.D.D15.4D16.D5.D18.D11.D83.D18.3D19.D18.3D
18.D18.3D18.D18.3D19.2D17.2D17.3D16.D.D16.D.D19.D18.D.D$D3.D2.D9.D7.D
20.D3.D2.D18.D3.D15.2D3.2D18.D11.D82.3D16.D3.D17.3D16.D3.D16.3D16.D3.
D16.3D39.D17.2D18.3D16.D.D17.D20.D18.3D$D5.4D2.3D2.D.2D2.D.D2.D2.4D2.
3D3.2D.D3.D.D3.D.D.2D3.2D.D3.D3.D2.3D3.3D4.D.D.D.D2.3D2.D.2D.D.2D2.D.
2D3.3D2.D3.3D3.2D.D.D3.D62.5D14.D5.D15.5D14.D5.D14.5D15.D3.D15.D.D.D
38.D57.D57.5D$.3D3.D3.D3.D.2D2.D.D.D2.D.D5.D3.D.D2.2D3.2D4.D.2D2.D.D
2.2D3.4D2.D3.D.D3.D3.D.D.D.D.D3.D.2D3.2D2.D.2D2.D.D3.D.D2.D3.D.D2.2D.
D3.D61.2D3.2D13.D5.D14.2D3.2D12.D3.D3.D12.D5.D13.7D16.D137.3D15.2D3.
2D$4.D2.D3.D3.D.D3.D.D.D2.D2.3D2.5D.D3.D3.D.D3.D.D3.D.D3.D3.D3.D.5D.
5D3.D2.D2.D.D3.D.D4.D3.D.D3.D.D3.D.D2.D3.D.D3.D.D3.D62.5D14.D5.D13.3D
3.3D11.D.D3.D.D11.D7.D11.2D5.2D11.D2.3D2.D111.5D16.D3.D15.5D$D3.D2.D
3.D2.2D.2D2.D.D.D2.D5.D.D5.D2.2D3.D2.D2.D.D3.D.D2.2D3.D3.D.D5.D7.D5.D
.D3.D.D4.2D2.D.D3.D.D3.D.D2.D3.D.D2.2D.D2.2D63.3D56.D5.D12.D7.D11.2D
5.2D14.3D14.4D.4D13.2D3.2D11.2D2.D2.2D51.5D15.D5.D15.3D$.3D4.2D2.2D.D
.D.2D2.D2.D.D.4D3.3D3.2D.D3.D3.D.D.D3.D2.2D.D3.4D3.3D3.3D4.D5.D2.3D2.
D4.D.2D2.D3.D2.3D3.D2.3D3.2D.D2.2D.D63.D.D17.D.D56.D5.D32.2D5.2D15.D
15.D.7D.D29.2D5.2D11.7D13.5D16.D3.D17.D$68.D42.D30.D5.D221.D.7D.D10.D
5.D14.5D55.3D$65.3D43.D27.3D3.3D244.5D15.5D$413.3D15.D3.D$433.D9$374.
D39.D39.D39.D39.D39.D39.D39.D$D3.D8.D20.D4.D3.D.D15.4D16.D5.D18.D11.D
54.D18.3D18.D18.3D19.D18.3D18.D18.3D18.D18.3D18.D18.3D18.D18.3D18.D
18.3D18.D18.3D18.D18.3D18.D18.3D18.D18.3D18.D18.3D$2D2.D8.D20.D4.D2.D
18.D3.D15.2D3.2D18.D11.D53.3D16.D3.D16.3D16.D3.D17.3D16.D3.D16.3D16.D
3.D16.3D38.D39.D39.D39.D39.D39.D39.D39.D$D.D.D2.3D2.4D.D3.D.D.2D2.3D
2.D4.D.D3.D.D.2D3.2D.D3.D3.D2.3D3.3D4.D.D.D.D2.3D2.D.2D.D.2D2.D.2D3.
3D2.D3.3D3.2D.D.D3.D33.2D.2D14.D5.D14.5D14.D5.D15.5D14.D5.D14.5D15.D
3.D15.D.D.D$D.D.D.D3.D2.D3.D3.D.2D3.D3.D.D4.2D4.D.2D2.D.D2.2D3.4D2.D
3.D.D3.D3.D.D.D.D.D3.D.2D3.2D2.D.2D2.D.D3.D.D2.D3.D.D2.2D.D3.D32.2D3.
2D13.D5.D13.2D3.2D13.D2.D2.D14.2D3.2D12.D3.D3.D12.D5.D13.7D16.D197.5D
14.D5.D$D.D.D.D3.D2.D3.D3.D.D4.D3.D.D4.D.D3.D.D3.D.D3.D3.D3.D.5D.5D3.
D2.D2.D.D3.D.D4.D3.D.D3.D.D3.D.D2.D3.D.D3.D.D3.D33.D3.D15.2D.2D14.D5.
D13.D5.D13.3D3.3D11.D.D3.D.D11.D7.D11.2D5.2D11.D2.3D2.D32.2D3.2D13.D
2.D2.D56.D56.7D13.7D56.D19.D$D2.2D.D2.2D2.D3.D2.2D.D4.D2.2D.D4.D2.D2.
D.D3.D.D2.2D3.D3.D.D5.D7.D5.D.D3.D.D4.2D2.D.D3.D.D3.D.D2.D3.D.D2.2D.D
2.2D33.D3.D35.D3.D55.D5.D12.D7.D11.2D5.2D14.3D14.4D.4D12.7D12.D7.D11.
2D5.2D11.2D.3D.2D11.2D2.D2.2D11.2D2.D2.2D11.9D11.D7.D11.D.5D.D11.D7.D
12.D.3D.D15.D.D18.D19.D$D3.D2.2D.D3.2D2.2D.D.D5.2D.D2.D3.D3.D.D.D3.D
2.2D.D3.4D3.3D3.3D4.D5.D2.3D2.D4.D.2D2.D3.D2.3D3.D2.3D3.2D.D2.2D.D
153.D5.D32.2D5.2D15.D16.7D13.D5.D13.7D12.D7.D11.D.D.D.D.D11.D.2D.2D.D
11.D.5D.D11.D7.D11.D7.D11.D.5D.D12.D.3D.D34.2D.2D15.D3.D$57.D42.D30.D
5.D254.5D15.5D14.D5.D13.D5.D13.D5.D13.2D3.2D13.2D.D.2D13.D5.D35.3D16.
2D.2D16.3D$54.3D43.D27.3D3.3D276.3D16.D3.D157.D18.3D17.D.D18.D$434.D
199.D19.D17$573.D19.D19.D19.D19.D19.D19.D19.D19.D19.D19.D19.D19.D19.D
19.D$513.D19.D18.3D17.D.D17.D.D17.D.D17.D.D17.D.D17.D.D17.D.D17.D.D
17.D.D17.D.D17.D.D17.D.D17.D.D17.D.D17.D.D$453.D19.D18.3D17.D.D17.3D
17.3D17.D.D17.D.D17.D.D17.D.D17.D.D17.D.D17.D.D17.D.D17.D.D17.D.D17.D
.D17.D.D17.D.D17.D.D17.D.D$373.D39.D18.3D17.D.D17.3D17.3D16.D3.D15.D
3.D37.D19.D19.D19.D19.D19.D19.D19.D19.D19.D19.D19.D19.D19.D19.D$D3.D
8.D20.D5.3D28.4D16.D5.D18.D11.D204.D18.3D18.D18.3D16.2D.2D16.3D16.D3.
D15.D3.D15.D3.D15.5D17.D$2D2.D8.D20.D4.D3.D27.D3.D15.2D3.2D18.D11.D
164.D18.3D17.3D37.D.D16.2D.2D35.D3.D16.3D15.D.3D.D13.D5.D13.2D3.2D13.
D5.D$D.D.D2.3D2.4D.D3.D.D.2D2.3D2.D4.D3.D.D3.D2.3D3.3D2.D.2D4.D3.D2.
3D3.3D4.D.D.D.D2.3D2.D.2D.D.2D2.D.2D3.3D2.D3.3D3.2D.D.D3.D65.D18.3D
18.D18.3D17.3D16.D3.D16.3D17.D.D16.2D.2D15.2D.2D14.D5.D33.2D3.2D14.5D
15.D3.D15.5D14.D5.D13.2D3.2D13.2D.D.2D13.2D3.2D13.2D3.2D13.2D3.2D13.
2D3.2D13.2D3.2D176.D$D.D.D.D3.D2.D3.D3.D.2D3.D3.D.D4.D3.D.D3.D.D3.D.D
3.D.2D2.D3.4D2.D3.D.D3.D3.D.D.D.D.D3.D.2D3.2D2.D.2D2.D.D3.D.D2.D3.D.D
2.2D.D3.D64.3D16.D3.D16.3D16.D3.D15.5D55.5D14.D5.D14.5D34.2D3.2D55.3D
17.3D16.D3.D15.5D14.D5.D13.D.D.D.D13.D5.D13.2D3.2D13.2D3.2D16.D16.2D
3.2D13.2D.D.2D96.D18.3D17.3D$D.D.D.D3.D2.D3.D3.D.D4.D3.D.D4.D3.D.D3.D
.5D.5D.D3.D3.D3.D.5D.5D3.D2.D2.D.D3.D.D4.D3.D.D3.D.D3.D.D2.D3.D.D3.D.
D3.D63.5D14.D5.D14.5D14.D5.D13.D.D.D.D13.D5.D13.2D3.2D13.2D3.2D16.D
16.2D3.2D13.2D.D.2D96.D18.3D17.3D16.D3.D15.5D55.5D14.D5.D14.5D34.2D3.
2D55.3D17.3D16.D3.D15.5D$D2.2D.D2.2D2.D3.D2.2D.D4.D2.2D.D4.D2.D2.D2.
2D.D5.D5.D3.D3.D3.D.D5.D7.D5.D.D3.D.D4.2D2.D.D3.D.D3.D.D2.D3.D.D2.2D.
D2.2D62.2D3.2D13.D5.D13.2D3.2D13.2D.D.2D13.2D3.2D13.2D3.2D13.2D3.2D
13.2D3.2D13.2D3.2D176.D18.3D17.3D16.D3.D16.3D17.D.D16.2D.2D15.2D.2D
14.D5.D33.2D3.2D14.5D15.D3.D15.5D14.D5.D13.2D3.2D$D3.D2.2D.D3.2D2.2D.
D.D5.2D.D2.D4.2D.D2.2D.D2.3D3.3D2.D3.D3.4D3.3D3.3D4.D5.D2.3D2.D4.D.2D
2.D3.D2.3D3.D2.3D3.2D.D2.2D.D63.5D17.D359.D18.3D17.3D37.D.D16.2D.2D
35.D3.D16.3D15.D.3D.D13.D5.D13.2D3.2D13.D5.D$110.D30.D5.D63.D3.D15.D
3.D397.D18.3D18.D18.3D16.2D.2D16.3D16.D3.D15.D3.D15.D3.D15.5D17.D$
110.D27.3D3.3D65.D.D17.3D438.D39.D18.3D17.D.D17.3D17.3D16.D3.D15.D3.D
$213.D19.D519.D19.D18.3D17.D.D17.3D17.3D$813.D19.D18.3D10$.3D3.D9.D5.
D.D2.D17.D3.D3.D.D15.4D16.D5.D18.D11.D83.D18.3D19.D18.3D18.D18.3D18.D
18.3D19.2D17.2D17.3D16.D.D16.D.D19.D18.D.D$D3.D2.D9.D7.D20.D3.D2.D18.
D3.D15.2D3.2D18.D11.D82.3D16.D3.D17.3D16.D3.D16.3D16.D3.D16.3D39.D17.
2D18.3D16.D.D17.D20.D18.3D$D5.4D2.3D2.D.2D2.D.D2.D2.4D2.3D3.2D.D3.D.D
3.D.D.2D3.2D.D3.D3.D2.3D3.3D4.D.D.D.D2.3D2.D.2D.D.2D2.D.2D3.3D2.D3.3D
3.2D.D.D3.D62.5D14.D5.D15.5D14.D5.D14.5D15.D3.D15.D.D.D38.D57.D57.5D$
.3D3.D3.D3.D.2D2.D.D.D2.D.D5.D3.D.D2.2D3.2D4.D.2D2.D.D2.2D3.4D2.D3.D.
D3.D3.D.D.D.D.D3.D.2D3.2D2.D.2D2.D.D3.D.D2.D3.D.D2.2D.D3.D61.2D3.2D
13.D5.D14.2D3.2D12.D3.D3.D12.D5.D13.7D16.D137.3D15.2D3.2D$4.D2.D3.D3.
D.D3.D.D.D2.D2.3D2.5D.D3.D3.D.D3.D.D3.D.D3.D3.D3.D.5D.5D3.D2.D2.D.D3.
D.D4.D3.D.D3.D.D3.D.D2.D3.D.D3.D.D3.D62.5D14.D5.D13.3D3.3D11.D.D3.D.D
11.D7.D11.2D5.2D11.D2.3D2.D111.5D16.D3.D15.5D$D3.D2.D3.D2.2D.2D2.D.D.
D2.D5.D.D5.D2.2D3.D2.D2.D.D3.D.D2.2D3.D3.D.D5.D7.D5.D.D3.D.D4.2D2.D.D
3.D.D3.D.D2.D3.D.D2.2D.D2.2D63.3D56.D5.D12.D7.D11.2D5.2D14.3D14.4D.4D
13.2D3.2D11.2D2.D2.2D51.5D15.D5.D15.3D$.3D4.2D2.2D.D.D.2D2.D2.D.D.4D
3.3D3.2D.D3.D3.D.D.D3.D2.2D.D3.4D3.3D3.3D4.D5.D2.3D2.D4.D.2D2.D3.D2.
3D3.D2.3D3.2D.D2.2D.D63.D.D17.D.D56.D5.D32.2D5.2D15.D15.D.7D.D29.2D5.
2D11.7D13.5D16.D3.D17.D$68.D42.D30.D5.D221.D.7D.D10.D5.D14.5D55.3D$
65.3D43.D27.3D3.3D244.5D15.5D$413.3D15.D3.D$433.D10$.3D3.D9.D5.D.D2.D
17.D3.D3.D.D15.4D16.D5.D18.D11.D83.A18.3A19.A18.3A18.A18.3A18.A18.3A
19.2A17.2A17.3A16.A.A16.A.A19.A18.A.A$D3.D2.D9.D7.D20.D3.D2.D18.D3.D
15.2D3.2D18.D11.D82.3A16.A3.A17.3A16.A3.A16.3A16.A3.A16.3A39.A17.2A
18.3A16.A.A17.A20.A18.3A$D5.4D2.3D2.D.2D2.D.D2.D2.4D2.3D3.2D.D3.D.D3.
D.D.2D3.2D.D3.D3.D2.3D3.3D4.D.D.D.D2.3D2.D.2D.D.2D2.D.2D3.3D2.D3.3D3.
2D.D.D3.D62.5A14.A5.A15.5A14.A5.A14.5A15.A3.A15.A.A.A38.A57.A57.5A$.
3D3.D3.D3.D.2D2.D.D.D2.D.D5.D3.D.D2.2D3.2D4.D.2D2.D.D2.2D3.4D2.D3.D.D
3.D3.D.D.D.D.D3.D.2D3.2D2.D.2D2.D.D3.D.D2.D3.D.D2.2D.D3.D61.2A3.2A13.
A5.A14.2A3.2A12.A3.A3.A12.A5.A13.7A16.A137.3A15.2A3.2A$4.D2.D3.D3.D.D
3.D.D.D2.D2.3D2.5D.D3.D3.D.D3.D.D3.D.D3.D3.D3.D.5D.5D3.D2.D2.D.D3.D.D
4.D3.D.D3.D.D3.D.D2.D3.D.D3.D.D3.D62.5A14.A5.A13.3A3.3A11.A.A3.A.A11.
A7.A11.2A5.2A11.A2.3A2.A111.5A16.A3.A15.5A$D3.D2.D3.D2.2D.2D2.D.D.D2.
D5.D.D5.D2.2D3.D2.D2.D.D3.D.D2.2D3.D3.D.D5.D7.D5.D.D3.D.D4.2D2.D.D3.D
.D3.D.D2.D3.D.D2.2D.D2.2D63.3A56.A5.A12.A7.A11.2A5.2A14.3A14.4A.4A13.
2A3.2A11.2A2.A2.2A51.5A15.A5.A15.3A$.3D4.2D2.2D.D.D.2D2.D2.D.D.4D3.3D
3.2D.D3.D3.D.D.D3.D2.2D.D3.4D3.3D3.3D4.D5.D2.3D2.D4.D.2D2.D3.D2.3D3.D
2.3D3.2D.D2.2D.D63.A.A17.A.A56.A5.A32.2A5.2A15.A15.A.7A.A29.2A5.2A11.
7A13.5A16.A3.A17.A$68.D42.D30.D5.D221.A.7A.A10.A5.A14.5A55.3A$65.3D
43.D27.3D3.3D244.5A15.5A$413.3A15.A3.A$433.A9$374.A39.A39.A39.A39.A
39.A39.A39.A$D3.D8.D20.D4.D3.D.D15.4D16.D5.D18.D11.D54.A18.3A18.A18.
3A19.A18.3A18.A18.3A18.A18.3A18.A18.3A18.A18.3A18.A18.3A18.A18.3A18.A
18.3A18.A18.3A18.A18.3A18.A18.3A$2D2.D8.D20.D4.D2.D18.D3.D15.2D3.2D
18.D11.D53.3A16.A3.A16.3A16.A3.A17.3A16.A3.A16.3A16.A3.A16.3A38.A39.A
39.A39.A39.A39.A39.A39.A$D.D.D2.3D2.4D.D3.D.D.2D2.3D2.D4.D.D3.D.D.2D
3.2D.D3.D3.D2.3D3.3D4.D.D.D.D2.3D2.D.2D.D.2D2.D.2D3.3D2.D3.3D3.2D.D.D
3.D33.2A.2A14.A5.A14.5A14.A5.A15.5A14.A5.A14.5A15.A3.A15.A.A.A$D.D.D.
D3.D2.D3.D3.D.2D3.D3.D.D4.2D4.D.2D2.D.D2.2D3.4D2.D3.D.D3.D3.D.D.D.D.D
3.D.2D3.2D2.D.2D2.D.D3.D.D2.D3.D.D2.2D.D3.D32.2A3.2A13.A5.A13.2A3.2A
13.A2.A2.A14.2A3.2A12.A3.A3.A12.A5.A13.7A16.A197.5A14.A5.A$D.D.D.D3.D
2.D3.D3.D.D4.D3.D.D4.D.D3.D.D3.D.D3.D3.D3.D.5D.5D3.D2.D2.D.D3.D.D4.D
3.D.D3.D.D3.D.D2.D3.D.D3.D.D3.D33.A3.A15.2A.2A14.A5.A13.A5.A13.3A3.3A
11.A.A3.A.A11.A7.A11.2A5.2A11.A2.3A2.A32.2A3.2A13.A2.A2.A56.A56.7A13.
7A56.A19.A$D2.2D.D2.2D2.D3.D2.2D.D4.D2.2D.D4.D2.D2.D.D3.D.D2.2D3.D3.D
.D5.D7.D5.D.D3.D.D4.2D2.D.D3.D.D3.D.D2.D3.D.D2.2D.D2.2D33.A3.A35.A3.A
55.A5.A12.A7.A11.2A5.2A14.3A14.4A.4A12.7A12.A7.A11.2A5.2A11.2A.3A.2A
11.2A2.A2.2A11.2A2.A2.2A11.9A11.A7.A11.A.5A.A11.A7.A12.A.3A.A15.A.A
18.A19.A$D3.D2.2D.D3.2D2.2D.D.D5.2D.D2.D3.D3.D.D.D3.D2.2D.D3.4D3.3D3.
3D4.D5.D2.3D2.D4.D.2D2.D3.D2.3D3.D2.3D3.2D.D2.2D.D153.A5.A32.2A5.2A
15.A16.7A13.A5.A13.7A12.A7.A11.A.A.A.A.A11.A.2A.2A.A11.A.5A.A11.A7.A
11.A7.A11.A.5A.A12.A.3A.A34.2A.2A15.A3.A$57.D42.D30.D5.D254.5A15.5A
14.A5.A13.A5.A13.A5.A13.2A3.2A13.2A.A.2A13.A5.A35.3A16.2A.2A16.3A$54.
3D43.D27.3D3.3D276.3A16.A3.A157.A18.3A17.A.A18.A$434.A199.A19.A17$
573.A19.A19.A19.A19.A19.A19.A19.A19.A19.A19.A19.A19.A19.A19.A$513.A
19.A18.3A17.A.A17.A.A17.A.A17.A.A17.A.A17.A.A17.A.A17.A.A17.A.A17.A.A
17.A.A17.A.A17.A.A17.A.A17.A.A$453.A19.A18.3A17.A.A17.3A17.3A17.A.A
17.A.A17.A.A17.A.A17.A.A17.A.A17.A.A17.A.A17.A.A17.A.A17.A.A17.A.A17.
A.A17.A.A17.A.A$373.A39.A18.3A17.A.A17.3A17.3A16.A3.A15.A3.A37.A19.A
19.A19.A19.A19.A19.A19.A19.A19.A19.A19.A19.A19.A19.A$D3.D8.D20.D5.3D
28.4D16.D5.D18.D11.D204.A18.3A18.A18.3A16.2A.2A16.3A16.A3.A15.A3.A15.
A3.A15.5A17.A$2D2.D8.D20.D4.D3.D27.D3.D15.2D3.2D18.D11.D164.A18.3A17.
3A37.A.A16.2A.2A35.A3.A16.3A15.A.3A.A13.A5.A13.2A3.2A13.A5.A$D.D.D2.
3D2.4D.D3.D.D.2D2.3D2.D4.D3.D.D3.D2.3D3.3D2.D.2D4.D3.D2.3D3.3D4.D.D.D
.D2.3D2.D.2D.D.2D2.D.2D3.3D2.D3.3D3.2D.D.D3.D65.A18.3A18.A18.3A17.3A
16.A3.A16.3A17.A.A16.2A.2A15.2A.2A14.A5.A33.2A3.2A14.5A15.A3.A15.5A
14.A5.A13.2A3.2A13.2A.A.2A13.2A3.2A13.2A3.2A13.2A3.2A13.2A3.2A13.2A3.
2A176.A$D.D.D.D3.D2.D3.D3.D.2D3.D3.D.D4.D3.D.D3.D.D3.D.D3.D.2D2.D3.4D
2.D3.D.D3.D3.D.D.D.D.D3.D.2D3.2D2.D.2D2.D.D3.D.D2.D3.D.D2.2D.D3.D64.
3A16.A3.A16.3A16.A3.A15.5A55.5A14.A5.A14.5A34.2A3.2A55.3A17.3A16.A3.A
15.5A14.A5.A13.A.A.A.A13.A5.A13.2A3.2A13.2A3.2A16.A16.2A3.2A13.2A.A.
2A96.A18.3A17.3A$D.D.D.D3.D2.D3.D3.D.D4.D3.D.D4.D3.D.D3.D.5D.5D.D3.D
3.D3.D.5D.5D3.D2.D2.D.D3.D.D4.D3.D.D3.D.D3.D.D2.D3.D.D3.D.D3.D63.5A
14.A5.A14.5A14.A5.A13.A.A.A.A13.A5.A13.2A3.2A13.2A3.2A16.A16.2A3.2A
13.2A.A.2A96.A18.3A17.3A16.A3.A15.5A55.5A14.A5.A14.5A34.2A3.2A55.3A
17.3A16.A3.A15.5A$D2.2D.D2.2D2.D3.D2.2D.D4.D2.2D.D4.D2.D2.D2.2D.D5.D
5.D3.D3.D3.D.D5.D7.D5.D.D3.D.D4.2D2.D.D3.D.D3.D.D2.D3.D.D2.2D.D2.2D
62.2A3.2A13.A5.A13.2A3.2A13.2A.A.2A13.2A3.2A13.2A3.2A13.2A3.2A13.2A3.
2A13.2A3.2A176.A18.3A17.3A16.A3.A16.3A17.A.A16.2A.2A15.2A.2A14.A5.A
33.2A3.2A14.5A15.A3.A15.5A14.A5.A13.2A3.2A$D3.D2.2D.D3.2D2.2D.D.D5.2D
.D2.D4.2D.D2.2D.D2.3D3.3D2.D3.D3.4D3.3D3.3D4.D5.D2.3D2.D4.D.2D2.D3.D
2.3D3.D2.3D3.2D.D2.2D.D63.5A17.A359.A18.3A17.3A37.A.A16.2A.2A35.A3.A
16.3A15.A.3A.A13.A5.A13.2A3.2A13.A5.A$110.D30.D5.D63.A3.A15.A3.A397.A
18.3A18.A18.3A16.2A.2A16.3A16.A3.A15.A3.A15.A3.A15.5A17.A$110.D27.3D
3.3D65.A.A17.3A438.A39.A18.3A17.A.A17.3A17.3A16.A3.A15.A3.A$213.A19.A
519.A19.A18.3A17.A.A17.3A17.3A$813.A19.A18.3A10$.3D3.D9.D5.D.D2.D17.D
3.D3.D.D15.4D16.D5.D18.D11.D83.A18.3A19.A18.3A18.A18.3A18.A18.3A19.2A
17.2A17.3A16.A.A16.A.A19.A18.A.A$D3.D2.D9.D7.D20.D3.D2.D18.D3.D15.2D
3.2D18.D11.D82.3A16.A3.A17.3A16.A3.A16.3A16.A3.A16.3A39.A17.2A18.3A
16.A.A17.A20.A18.3A$D5.4D2.3D2.D.2D2.D.D2.D2.4D2.3D3.2D.D3.D.D3.D.D.
2D3.2D.D3.D3.D2.3D3.3D4.D.D.D.D2.3D2.D.2D.D.2D2.D.2D3.3D2.D3.3D3.2D.D
.D3.D62.5A14.A5.A15.5A14.A5.A14.5A15.A3.A15.A.A.A38.A57.A57.5A$.3D3.D
3.D3.D.2D2.D.D.D2.D.D5.D3.D.D2.2D3.2D4.D.2D2.D.D2.2D3.4D2.D3.D.D3.D3.
D.D.D.D.D3.D.2D3.2D2.D.2D2.D.D3.D.D2.D3.D.D2.2D.D3.D61.2A3.2A13.A5.A
14.2A3.2A12.A3.A3.A12.A5.A13.7A16.A137.3A15.2A3.2A$4.D2.D3.D3.D.D3.D.
D.D2.D2.3D2.5D.D3.D3.D.D3.D.D3.D.D3.D3.D3.D.5D.5D3.D2.D2.D.D3.D.D4.D
3.D.D3.D.D3.D.D2.D3.D.D3.D.D3.D62.5A14.A5.A13.3A3.3A11.A.A3.A.A11.A7.
A11.2A5.2A11.A2.3A2.A111.5A16.A3.A15.5A$D3.D2.D3.D2.2D.2D2.D.D.D2.D5.
D.D5.D2.2D3.D2.D2.D.D3.D.D2.2D3.D3.D.D5.D7.D5.D.D3.D.D4.2D2.D.D3.D.D
3.D.D2.D3.D.D2.2D.D2.2D63.3A56.A5.A12.A7.A11.2A5.2A14.3A14.4A.4A13.2A
3.2A11.2A2.A2.2A51.5A15.A5.A15.3A$.3D4.2D2.2D.D.D.2D2.D2.D.D.4D3.3D3.
2D.D3.D3.D.D.D3.D2.2D.D3.4D3.3D3.3D4.D5.D2.3D2.D4.D.2D2.D3.D2.3D3.D2.
3D3.2D.D2.2D.D63.A.A17.A.A56.A5.A32.2A5.2A15.A15.A.7A.A29.2A5.2A11.7A
13.5A16.A3.A17.A$68.D42.D30.D5.D221.A.7A.A10.A5.A14.5A55.3A$65.3D43.D
27.3D3.3D244.5A15.5A$413.3A15.A3.A$433.A!

ALSO

Regarding the second posting on this Page, The New Theory -

here is a link to a video that seems to be in synch : https://youtu.be/U2WzAr6w6NI

Cheers !

Mainly the discussion is on page eleven of the otismo thread.

CGoL is most fascinating when you make all the discoveries yourself - even "Gosper's Glider Gun" !

CGoL can get way too trivial way too fast - when you conceptualise in your head and make no patterns to share...

Cheers !

[hotcrystal0]

How exactly does Weighted HROT work? I know that:

Code: Select all

R2, … NW(ABCDEFGHIJKLMNOPQRSTUVWXY)
ABCDE
FGHIJ
KLMNO
PQRST
UVWXY

[confocaloid]

How exactly does Weighted HROT work? I know that:

Code: Select all

R2, … NW(ABCDEFGHIJKLMNOPQRSTUVWXY)
ABCDE
FGHIJ
KLMNO
PQRST
UVWXY

As an example, the rulestring from the post quoted below is this:

Code: Select all

R2,C0,S34-67,102-135,170-203,255-271,B51-67,119-135,187-203,224,229,255-271,292,294,NW01010101010111551101015500550101115511010101010101

The neighbourhood is this:

Code: Select all

NW01010101010111551101015500550101115511010101010101

01 01 01 01 01
01 11 55 11 01
01 55 00 55 01
01 11 55 11 01
01 01 01 01 01

Note that weights are in hexadecimal (so "55" means 5x16+5 = 85, "11" means 1x16+1=17 etc.)

To evaluate the current condition of the central cell, calculate the sum of weights of all alive cells in the neighbourhood. For example:

• If the central cell is alive and has 7 alive neighbours, including two orthogonally adjacent, one diagonally adjacent and four "outer" neighbours, then the current condition of the central cell is S(2 x 85 + 1 x 17 + 4 x 1) = S191.
• If the central cell is dead and has 6 alive neighbours, including one orthogonally adjacent, zero diagonally adjacent and five "outer" neighbours, then the current condition of the central cell is B(1 x 85 + 0 x 17 + 5 x 1) = B90.

The central cell lives in the next generation if and only if its current condition belongs to the set of living conditions defined in the rulestring.
In this example, the living conditions are defined as follows; in particular, S191 belongs in the set, but B90 doesn't belong.

Code: Select all

S34-67,102-135,170-203,255-271
B51-67,119-135,187-203,224,229,255-271,292,294

Is there a weighted HROT rule where the glider, Glider 3736, and the XWSSes all work(in all orientations)?

Here:

Code: Select all

x = 55, y = 27, rule = R2,C0,S34-67,102-135,170-203,255-271,B51-67,119-135,187-203,224,229,255-271,292,294,NW01010101010111551101015500550101115511010101010101
41bo9bo$21bo8b3o7bobo7b3o$10b3o7b3o7b3o6bo3bo5b2ob2o$9bo3bo5bo3bo4b3ob
3o4bo3bo4b2o3b2o$8bo2bo2bo3b2obob2o6bo7bobobo$8b3ob3o3b7o6bo9bo9bo$19b
o3bo4b2obob2o5bobo8bo6$12b2o9bo$10bo4bo5bo3bo6bo2bo$16bo9bo9bo$10bo5bo
4bo4bo5bo3bo$3o8b6o5b5o6b4o$o$bo5$11b4o7b3o8b2o$10b6o5b5o6b4o$10b4ob2o
4b3ob2o5b2ob2o$14b2o8b2o8b2o!

All spaceships evolve identically to their original versions from Life-like CA. The weighted neighbourhood is as follows:

Code: Select all

  1  1  1  1  1
  1 17 85 17  1
  1 85  0 85  1
  1 17 85 17  1
  1  1  1  1  1

The optional birth/survival conditions are:

optional birth (350): 6, 9-16, 23-24, 27-34, 40-41, 43-84, 90-91, 93, 95-101, 109-119, 127-138, 140, 142-170, 176-188, 194, 196-205, 208, 211, 213, 215-222, 225-228, 230-257, 260-272, 274-288, 290-291, 293, 295-312, 314-379, 381-395, 398-424
optional survival (362): 0, 3-17, 21-35, 37-38, 40, 42-84, 90-92, 94-102, 107-119, 124, 128-129, 131-171, 175, 177-187, 194-203, 205, 212-224, 227-228, 231-259, 261-262, 264-292, 298-310, 313-325, 327-359, 361-377, 379-393, 395-396, 399-412, 414-424

[Haycat2009]

Remind me: What is the large still life that is produced by 2 colliding R-pentominoes?

[confocaloid]

Remind me: What is the large still life that is produced by 2 colliding R-pentominoes?

• "A large" or "the largest"?
• Large by population or by bounding box?
• Strict still life, or pseudo still life, or quasi still life, or still life constellation?
• edit: Should be produced cleanly, or extra junk is allowed?
• edit2: The colliding R-pentomino sequences must be in the same phase, or can be in different phases?

Code: Select all

x = 20, y = 10, rule = B3/S23
3$13b2o$5bo6b2o$5b2o6bo$4b2o!

Code: Select all

x = 11, y = 11, rule = B3/S23
9b2o$8b2o$9bo6$bo$b2o$2o!

Code: Select all

x = 19, y = 6, rule = B3/S23
bo$b2o$2o$17b2o$16b2o$17bo!

Code: Select all

x = 24, y = 9, rule = B3/S23
22b2o$21b2o$22bo4$bo$b2o$2o!

Code: Select all

x = 325, y = 16, rule = B3/S23
124b2o$123b2o91b2o$124bo90b2o$216bo$bo$b2o$2o2$199bo123b2o$105bo93b2o
109bo11b2o$105b2o91b2o110b2o11bo$104b2o203b2o2$25b2o$24b2o$25bo!

[Haycat2009]

Remind me: What is the large still life that is produced by 2 colliding R-pentominoes?

Code: Select all

x = 19, y = 6, rule = B3/S23
bo$b2o$2o$17b2o$16b2o$17bo!

This one. Sorry for not being specific enough, I was trying to recall this.

[Haycat2009]

When using x on y for LCM, which oscillator should be X or Y? For example, should it be tumbler on Rich p16 or the other way round?

[otismo]

What is "Gosper glider gun supported by ouroborous bees", please.

Thank You !

EDIT :

this is from LifeWiki, Maximum Volatility Gun :

The maximum volatility gun is a single-barrelled period-177 glider gun found by Jason Summers on October 22, 2009,[1] using many copies of Karel's p177 to generate gliders via pairs of passing spaceships in an out of the blue reaction. Most of the gliders are then reflected back to rebuild the spaceship stream.

This is one of only a few known guns in Conway's Game of Life with volatility 1, i.e. guns in which every single cell oscillates. Other smaller examples include the period-45 glider gun supported by pentadecathlons, period-88 glider gun supported by figure eights, The former smallest p46 glider gun supported by a statorless stabilisation used in 50P92.1 and even Gosper glider gun supported by ouroborous bees.

This is one of only a three known gun periods in Conway's Game of Life with strict volatility 1, i.e. guns in which every single cell oscillates at the same period. The other two examples are Gosper glider gun supported by ouroborous bees and period-86 gliderless MWSS gun using the H-to-MWSS supported by a pair of strictly volatile p86s.

EDIT TWO :

and here they are, The Ouroborous Bees :

Code: Select all

x = 24, y = 24, rule = B3/S23
12bo$12bobo$13bobo$13bo2bo$13bobo$12bobo$12bo$3bo$2bobo$bo3bo$2b3o$2o
3b2o$17b2o3b2o$19b3o$18bo3bo$19bobo$20bo$11bo$9bobo$8bobo$7bo2bo$8bob
o$9bobo$11bo!

and here is a bonus by James Pascua based on a partial by Entity Valkyrie,

a P26 version of the Queen Bee Shuttle :

Code: Select all

x = 33, y = 22, rule = B3/S23
9bo13bo$8bobo11bobo$5bo2bo2bo9bob2o2bo$5b3o4bo7bobo2b3o$8b3obo7bob2o$
3b5obobo9bo3b5o$2bo6bo13bobo4bo$o2bo2bo2b5obobob8o2bo2bo$2ob4obo3bob2o
b2obo5bo2bob2o$3bo2bo3bo11bo3bo2bo$3bo2bo2b3o9b4ob4o$bobo2b3o5b2o10bo
2bobo$b2o4bobo4bobo6bo6b2o$5bo2bobo6bo4bobobo$5bo3bo4bo2bo5bo3b2o$4bo
12bo$2bo11bobo12bo$3bo10b2o9bo3bobo$2obo2b3o15bo2bobo$3bob3o16bo2bobo
b2o$bobo22bo2bo$2b2o25b2o!

[azulavoir]

What is "Gosper glider gun supported by ouroborous bees", please.

Presumably, it's a Gosper glider gun, but where you'd normally have a block at each end, you have a instance of Ouroboros bees instead.

[otismo]

Thank You azulavoir !

Now we need to see that Gun...

[dvgrn]

Now we need to see that Gun...

Wow -- this was something that got discussed on the first page of this Basic Questions thread. But I can't seem to find any prior art, in terms of an actual pattern with ouroboros bees cleaning up beehives.

They must be out there somewhere, but they're not turning up for me. It's easy to re-create a sample, though:

Code: Select all

x = 76, y = 37, rule = B3/S23
63b2o$63b2o$58b2o6b2o$57bo2bo5b3o$58b2o6b2o$63b2o7bo$63b2o6bobo$55bo15b
obo$54b3o15bo$54b3o2$52b2o3b2o10b2o3b2o$52b2o3b2o10b2o3b2o$13bo$13bob
o31bo23b3o$6b2o8b2o28bobo6bo15b3o$5bo2bo7b2o11b2o15b2obo4bobo15bo$6b2o
8b2o11bobo14b2ob2o3bobo6b2o$13bobo4bo3b2o6bo13b2obo5bo7b2o$2b3o8bo5bo
bobo2bo2bo2bo13bobo11b2o6b2o$2b3o14bobo2b2o6bo14bo11b3o5bo2bo$bo3bo14b
o8bobo28b2o6b2o$29b2o32b2o$2o3b2o56b2o3$17b2o3b2o2$3bo14bo3bo$2bobo14b
3o$2bobo5bo8b3o$3bo4bobo$6b2o8b2o$6b2o7bo2bo$6b2o8b2o$8bobo$10bo!

There are probably a lot more ways to do equivalent tricks. Obviously the bounding box would be smaller if the left ouroboros-bees got mirrored vertically, but bounding box isn't really a criterion here.