Thread for basic questions

[Naszvadi]

Densest still life population ( $dslpop(n)$ ) for given $n$: in $n*n$ square in infinite B3/S23 space:

It is well-known, but up to n=9, I verified via running my fast-made mixed integer program containing real and binary variables only - in GMPL, to be published later. I am aware that this had been done by others earlier, just for fun

An excerpt from logs when determining n=9 case:

+35650619: mip = 4.300000000e+01 <= 4.400000000e+01 2.3% (425; 358842)
+35673703: mip = 4.300000000e+01 <= 4.400000000e+01 2.3% (332; 359323)
Warning: numerical instability (dual simplex, phase II)
+35697025: mip = 4.300000000e+01 <= 4.400000000e+01 2.3% (273; 359753)
+35713230: mip = 4.300000000e+01 <= tree is empty 0.0% (0; 363429)
INTEGER OPTIMAL SOLUTION FOUND
Time used: 11618.0 secs
Memory used: 502.7 Mb (527138079 bytes)

Code: Select all

x = 9 , y = 9 , rule = B3/S23
obooboobo$ooboboboo$bbbobobbb$ooboboooo$oobobbbbo$bbbooooob$ooobbbbbb$obboboobo$bbooboboo$!

Model has been successfully processed
SZUPER
user@:0:~/20200724$

Undoctored console dump for smaller areas:

user@errorlevel:0:~/.golly/Downloads/privat/20200724$ for((i=2;i<=8;i++));{ for((j=i;j<=i;j++));{ echo 'param Xmax := '"$i"'; param Ymax := '"$j"';' | glpsol --proxy 6 --cuts -m densest.mod -d /dev/stdin;};} | sed -nre '/^.code/,/^..code/p'

Code: Select all

x = 2 , y = 2 , rule = B3/S23
oo$oo$!

Code: Select all

x = 3 , y = 3 , rule = B3/S23
oob$obo$boo$!

Code: Select all

x = 4 , y = 4 , rule = B3/S23
oobb$obob$bobo$bboo$!

Code: Select all

x = 5 , y = 5 , rule = B3/S23
ooboo$ooboo$bbbbb$ooboo$ooboo$!

Code: Select all

x = 6 , y = 6 , rule = B3/S23
oobboo$obbobo$boboob$oobbbb$bboobo$bboboo$!

Code: Select all

x = 7 , y = 7 , rule = B3/S23
obooboo$oobobob$bbbobbo$ooobooo$obbobbb$boboboo$ooboobo$!

Code: Select all

x = 8 , y = 8 , rule = B3/S23
oobooboo$oobooboo$bbbbbbbb$oobooboo$oobooboo$bbbbbbbb$oobooboo$oobooboo$!

user@errorlevel:0:~/.golly/Downloads/privat/20200724$

[APPEND#1]

up to 6x6, all rectangles in one pattern:

Code: Select all

x = 21, y = 153, rule = B3/S23
obobobobobobobobobobo6$obobobobobobobobobobo3$2o$2o3$obobobobobobobobo
bobo6$obobobobobobobobobobo3$2o$2o3$obobobobobobobobobobo3$2o$obo$b2o
3$obobobobobobobobobobo6$obobobobobobobobobobo3$2obo$ob2o3$obobobobobo
bobobobobo3$b2o$o2bo$b2o3$obobobobobobobobobobo3$2o$obo$bobo$2b2o3$obo
bobobobobobobobobo6$obobobobobobobobobobo3$2ob2o$2ob2o3$obobobobobobob
obobobo3$2o$o2b2o$b2obo3$obobobobobobobobobobo3$2ob2o$bobo$bobo$2ob2o
3$obobobobobobobobobobo3$2ob2o$2ob2o2$2ob2o$2ob2o3$obobobobobobobobobo
bo6$obobobobobobobobobobo3$b2ob2o$b2ob2o3$obobobobobobobobobobo3$2ob2o
$2obobo$4b2o3$obobobobobobobobobobo3$b2ob2o$obobo$obobo$b2ob2o3$obobob
obobobobobobobo3$2ob2o$bob2o$o$ob2obo$b2ob2o3$obobobobobobobobobobo3$
2o2b2o$o2bobo$bob2o$2o$2b2obo$2bob2o!

[Moosey]

Where can I find the rules files I add to golly on mac?

[toroidalet]

In the top menu bar, click "go", hold down option/alt, select the Library, then go to Application Support/Golly/rules.

[ColorfulGalaxy]

Should these be considered "slow salvo"?
Should any of these gliders be considered "slow"?

Code: Select all

x = 9, y = 9, rule = LifeHistory
11.C$10.C$10.3C8$6A.2A$6A.2A$7.2A2.C$2A5.2A.C$2A5.2A.3C$2A5.2A$2A$2A.6A$2A.6A!
- Two gliders killing a Galaxy
- First turns the Galaxy into a block
- Second deletes the block

Code: Select all

x = 24, y = 22, rule = B3/S23
bo$2b2o$2o6$22bo$21bo$22b2o$21bo7$13bo$11b2o$13b2o$12bo!
#C [[ GPS 16 ]]
- Two gliders destruct a clock
- First turns the clock into a block
- Second deletes the block

[dvgrn]

Should these be considered "slow salvo"?
Should any of these gliders be considered "slow"?

No. See here for the problem with the first pattern.

If the two gliders in the second pattern came from the same direction, they could be considered a slow salvo.

[ColorfulGalaxy]

What do you call a pattern whose bounding box grows to infinity but population doesn't grow?
Like this.
This.

[mniemiec]

What do you call a pattern whose bounding box grows to infinity but population doesn't grow? Like this. ...

This is basically the same kind of construction that is used for the timing mechanism in the Sqrtgun - i.e. a gun that fires photons at an object that moves farther and farther away, so its period decreases slowly with time. If each phases releases an extra glider, the population grows as O(sqrt(t)). If it does not, the population is periodic, while the convex hull grows as O(sqrt(t)).

[Pavgran]

Is there any device that splits p1 glider stream into n streams evenly? (For example, in case n=2 it could be bait still life + catalysts producing some signal and resetting bait to mirror image of it attaching directly to mirrored copy of the circuit)

[dvgrn]

Is there any device that splits p1 glider stream into n streams evenly? (For example, in case n=2 it could be bait still life + catalysts producing some signal and resetting bait to mirror image of it attaching directly to mirrored copy of the circuit)

If I'm understanding the question correctly, for n=2, half a decade ago the answer would have been something like

Code: Select all

x = 126, y = 110, rule = LifeHistory
.A$2.A$3A18$21.A$22.A$20.3A11$82.2A8.A6.4B$81.B2AB5.3A5.4B$82.3B4.A7.
4B$74.2A5.B.B5.2A5.4B$75.A5.10B4.4B$75.A.AB2.8B5.4B$76.2AB.11B2.4B$
41.A36.3B2A4B2D7B$42.A35.3B2A4BDBD5B$40.3A36.8BD6B$79.14B$79.14B$78.A
.14B$77.A.A5.5B.4B$78.A7.4B2.4B$86.2B5.4B$85.4B5.4B$85.B2AB6.4B$86.2A
8.4B$97.4B$98.2B2D$99.BDBD$99.BD2B$99.5B$98.9B$98.9B$98.9B$61.A35.10B
$62.A33.12B$60.3AB22.2A8.13B$62.3B22.A9.11B$62.4B21.A.AB4.12B$63.4B
10.A10.2AB.15B$64.4B7.3A12.17B$65.4B5.A15.17B$66.4B4.2A15.17B.B$59.2A
6.9B14.19B2A$60.A7.6B14.19B.B2A$60.A.2A5.6B3.B2.2B2.20B4.B$61.A2.A4.
19BD16B$62.2AB3.6BD13BDBD4B.9B$63.9BDBD2B2A9B3D4B2.7B$64.9B2D2B2A11BD
4B2.7B$65.29B4.6B$65.17B.4B10.7B$66.15B3.2B12.6B$66.15B3.B13.7B$67.
13B5.A3.2A7.6B$69.13B2.A.A3.A7.6BD20.B$68.8B4.2A.A.A3.A7.8BD18.2B$68.
6B6.2ABA4.A8.2A4B3DB16.3B$68.5B8.B2.5A.A7.A2.B2.4B14.4B$68.B.B5.2A.A.
2A.A4.A.A3.3A7.4B12.4B$69.3B4.A.2A.A2.A.2A2.A4.A10.4B10.4B$68.B2AB11.
2A.A.2A17.4B8.4B$69.2A37.4B6.4B$109.4B4.4B$110.4B2.4B$111.8B5.2A$112.
7B5.A$113.7B.BA.A$111.6BD2B.B2A$108.2B.7BD3B$107.2A7B3D3B$107.2A13B$
108.2B2.10B$113.3B2A4B.2B$113.3B2A6B2A$113.9B.B2A$113.10B.B$113.7B$
112.A.5B$111.A.A3.4B$112.A6.2A$119.A$120.3A$122.A!

but now we have a more direct option:

Code: Select all

x = 134, y = 89, rule = LifeHistory
.A$2.A$3A18$21.A$22.A$20.3A18$41.A$42.A$40.3A14$104.B$104.2B19.A$104.
3B17.A.A$104.4B17.A$61.A43.4B$62.A43.4B13.5A$60.3AB23.A19.8B8.A4.A$
62.3B22.3A12.B.3B.8B9.BAB.A$62.4B24.A10.18B6.B2A.A2.A$63.4B10.A11.2A
3.B5.2B2A11BD4B3.A4B.A.A.A$64.4B7.3A11.8B3.2B2A9B3D4B2.ABAB3.A2.A$65.
4B5.A16.8B.13BDBD5B.A2BA2.2A$66.4B4.2A15.22BD9B2A$59.2A6.9B14.15B.11B
2D4B$60.A7.6B14.17B3.9B2D4B$60.A.2A5.6B3.B2.2B2.19B4.15B$61.A2.A4.19B
D15B5.13B$62.2AB3.6BD13BDBD4B.7B7.12B$63.9BDBD2B2A9B3D13B7.12B$64.9B
2D2B2A11BD14B7.4B2.6B$65.29B2.8B7.B2A2B5.4B$65.17B.4B11.6B8.2A8.4B$
66.15B3.2B12.5B20.4B$66.15B3.B14.4B21.4B$67.13B5.A3.2A8.3B23.4B$69.
13B2.A.A3.A9.4B$68.8B4.2A.A.A3.A12.2A$68.6B6.2ABA4.A13.A$68.5B8.B2.5A
.A12.3A$68.B.B5.2A.A.2A.A4.A.A13.A$69.3B4.A.2A.A2.A.2A2.A$68.B2AB11.
2A.A.2A$69.2A!

The top pattern can be generalized fairly easily for any value of n for which we have a period multiplier (and we can build a period multiplier fairly easily for any n).

[ColorfulGalaxy]

Code: Select all

#C P177 Oscillator
x = 56, y = 56, rule = B3/S23
25bo4bo$24bobo2bobo$20b2o3b2o2b2o3b2o$19bo2bo2bo4bo2bo2bo$20b5o6b5o$21b
3o8b3o2$13b2o26b2o$12bo2b2o22b2o2bo$12b2ob2o22b2ob2o$12b2o2bo22bo2b2o
$14b2o24b2o$8b3o34b3o$7bob2o34b2obo$7bo3bo32bo3bo$8b2obo32bob2o$8b3o34b
3o3$3bo48bo$2bobo46bobo$2bob2o44b2obo$3b3o44b3o$4b2o44b2o$bo2bo46bo2b
o$ob2o48b2obo$b2o50b2o3$b2o50b2o$ob2o48b2obo$bo2bo46bo2bo$4b2o44b2o$3b
3o44b3o$2bob2o44b2obo$2bobo46bobo$3bo48bo3$8b3o34b3o$8b2obo32bob2o$7b
o3bo32bo3bo$7bob2o34b2obo$8b3o34b3o$14b2o24b2o$12b2o2bo22bo2b2o$12b2o
b2o22b2ob2o$12bo2b2o22b2o2bo$13b2o26b2o2$21b3o8b3o$20b5o6b5o$19bo2bo2b
o4bo2bo2bo$20b2o3b2o2b2o3b2o$24bobo2bobo$25bo4bo!

Can this oscillator act as a(n):

• Oscillator
• Eater
• Turner
• 90 degree Reflector
• 180 degree Reflector
• Part of a gun
• Converter

[toroidalet]

Oscillator: What do you think?
Eater: A sample collision (there are many; see if you can find one):

Code: Select all

x = 50, y = 57, rule = B3/S23
14b3o12b3o$13bo3bo10bo3bo$12bo20bo2$13bobo14bobo$14b2ob2o8b2ob2o$16bo
12bo6$2bo40bo$bo2bo36bo2bo$o4bo34bo4bo$o3b2o34b2o3bo$o5bo32bo5bo$bo3bo
34bo3bo$5bo34bo9$5bo34bo$bo3bo34bo3bo$o5bo32bo5bo$o3b2o34b2o3bo$o4bo
34bo4bo$bo2bo36bo2bo$2bo40bo6$16bo12bo$14b2ob2o8b2ob2o$13bobo14bobo2$
12bo20bo$13bo3bo10bo3bo$14b3o12b3o9$47b2o$47bobo$47bo!

Turner/reflectors: The LifeWiki article shows multiple different reflection reactions, both 90° and 180°. (the rle file is missing, but fortunately Golly can open images as patterns).
Part of a gun: Maximum volatility gun. If you mean an elementary Gosper-glider-gun-type gun, then the answer is probably not (I think people have looked).
Converter: If you mean glider-XWSS I don't think so; there may be G-H or G-B reactions with the sparks, but they would be pretty useless considering the size and period of the oscillator.

In the future: for questions like these, LifeWiki is your friend.


My own question: has anyone tried to create a maximum volatility gun using the cyclotron reaction?

[ColorfulGalaxy]

Should it be called a methuselah?

Here it is:

Code: Select all

x = 0, y = 0, rule = B3/S23
!
Paste the same swimmer at the same place during a swimmer's growth
(Stabilizes at time 481988)
[[ PASTET EVERY 1 PASTE 3o! 0 0 PASTE o! 1 1 PASTE o! 4 1 PASTE o! 5 2 PASTE o! 2 3 PASTE o! 4 3 ]]

It's not a Life pattern because I "cheated".
I watched it for hours until it stopped at 481988.

[Hunting]

Should it be called a methuselah?

Here it is:

Code: Select all

x = 0, y = 0, rule = B3/S23
!
Paste the same swimmer at the same place during a swimmer's growth
(Stabilizes at time 481988)
[[ PASTET EVERY 1 PASTE 3o! 0 0 PASTE o! 1 1 PASTE o! 4 1 PASTE o! 5 2 PASTE o! 2 3 PASTE o! 4 3 ]]

It's not a Life pattern because I "cheated".
I watched it for hours until it stopped at 481988.

It's a StateInvestigator methuselah as the "cheated" cells are equivalent to the always-on cells in StateInvestigator.

[ColorfulGalaxy]

"A sawtooth that looks like an actual sawtooth"
Should this be considered a sawtooth?

Code: Select all

x = 0, y = 0, rule = B3/S23:T16,0
3ob3ob3ob3o$2bo3bo3bo3bo$2bo3bo3bo3bo$2bo3bo3bo3bo$2bo3bo3bo3bo!

[dvgrn]

"A sawtooth that looks like an actual sawtooth"
Should this be considered a sawtooth?

Code: Select all

x = 0, y = 0, rule = B3/S23:T16,0
3ob3ob3ob3o$2bo3bo3bo3bo$2bo3bo3bo3bo$2bo3bo3bo3bo$2bo3bo3bo3bo!

Not really, in my opinion. The traditional definition of "sawtooth" assumes that the pattern is running on an unbounded grid. Any version of this pattern running on an unbounded grid has a population that starts out infinite and remains infinite -- no sawtooth behavior, even though it looks kind of sawtoothy.

[mniemiec]

"A sawtooth that looks like an actual sawtooth" Should this be considered a sawtooth? ...

Not really, in my opinion. The traditional definition of "sawtooth" assumes that the pattern is running on an unbounded grid. Any version of this pattern running on an unbounded grid has a population that starts out infinite and remains infinite -- no sawtooth behavior, even though it looks kind of sawtoothy.

After a few generations, this degenerates into straight lines - which are effectively a 1D CA being emulated on cylinder (whose circumference doesn't matter), or a wick. The 1D CA itself is has sawtooth behavior, generating a Sierpinski gasket.

One still considers a single infinite straight line as a "growing pattern", even though its population at every generation is infinite. It may be useful to consider the population in terms of transfinite numbers. E.g. if the width of the universe is w, the poplation at time t (t>0) is 2nw, where n is the number of 1 bits in the binary representation of t.

[Whatamidoing]

just wanting to identify this pattern. fairly simple/mundane task, so i'm fine if you don't want to help.
i'm a newbie, but i'm wondering if It could be of any importance

Code: Select all

10o

[creeperman7002]

This pattern is very well-known. That line of cells evolves into a Pentadecathlon, a very well-known and important oscillator.

[Hunting]

just wanting to identify this pattern. fairly simple/mundane task, so i'm fine if you don't want to help.
i'm a newbie, but i'm wondering if It could be of any importance

Code: Select all

10o

It is known in 1970 (and all small 1xn pattern are known as of now) and that's exactly the way John Conway found it! See Pentadecathlon.

Advice: Finding methuselahs is a very very hard challenge since you need a very fast computer with a GPU and a special search tool.

Almost all small patterns are well-known too.

I suggest newbies to start with conduit even though they might be a little bit unsatisfying.

[goldenratio]

Advice: Finding methuselahs is a very very hard challenge since you need a very fast computer with a GPU and a special search tool.
Almost all small patterns are well-known too.
I suggest newbies to start with conduit even though they might be a little bit unsatisfying.

To clarify on this, a lot of new users like to try and discover things by drawing patterns and hoping they produce something special or last for a really long time. This is NOT how you make discoveries of note in B3/S23 in 2020. Finding methuselahs (for reference a methuselah larger than 10 cells should last >20000 generations to be notable, as stated in the rules) will usually require some sort of computer search, and trying to find one by hand is comparable to checking your backyard every day to see if a meteorite has fallen there; you could stumble upon something but the probability is extremely small. As for producing interesting objects, apgsearch is a much better option.

Try engineering (this is what Hunting means by "conduit"), OCA, glider syntheses, or apgsearch (We would love to have another apgsearcher to search our OCA rules) instead.

Also you need a trusted flag to edit the wiki if you have not noticed already, go to website discussion to find the thread to request that.

[Hunting]

Advice: Finding methuselahs is a very very hard challenge since you need a very fast computer with a GPU and a special search tool.
Almost all small patterns are well-known too.
I suggest newbies to start with conduit even though they might be a little bit unsatisfying.

To clarify on this, a lot of new users like to try and discover things by drawing patterns and hoping they produce something special or last for a really long time. This is NOT how you make discoveries of note in B3/S23 in 2020. Finding methuselahs (for reference a methuselah larger than 10 cells should last >20000 generations to be notable, as stated in the rules) will usually require some sort of computer search, and trying to find one by hand is comparable to checking your backyard every day to see if a meteorite has fallen there; you could stumble upon something but the probability is extremely small. As for producing interesting objects, apgsearch is a much better option.

Try engineering (this is what Hunting means by "conduit"), OCA, glider syntheses, or apgsearch (We would love to have another apgsearcher to search our OCA rules) instead.

Also you need a trusted flag to edit the wiki if you have not noticed already, go to website discussion to find the thread to request that.

Conduits ≠ Signal Circuitry. For example, no one calls a p30 logic gate a "conduit". He should know what I mean from the wiki link.

OCA is always an alternative. They are considered secondary altho they have their own importance. Don't encourage new members to work on OCA only to find it's fine and fun but won't win you any prizes.

@Whatamidoing: If you want to find new still lifes (that is of historical importance), new oscillators (smallest of its period or is useful in projects), new methselahs (16x16 lasting over 40 thousand generations!), and accomplish legendary achievements (such as finding a loafer in a totally random soup!) in Conway's Game of Life or other cellular automatas such as mine and goldenratio's try Tutorials/Contributing to Catagolue.

Glider synthesis is an amazing field and it is very very important but "all 17-bit SLs synthesised" never sounds as impressive as "new velocity found" or "R49 discovery".

[GUYTU6J]

In gunstar 2, there are two kinds of p8 Lx73 conduit. Has a stable Lx73 been found?

Code: Select all

x = 74, y = 39, rule = B3/S23
12b2o$13bo48b2o$13b3o47bo$63b3o8$21b2o48b2o$70bobo$19bo3bo45b3o$19bo4b
o44b2o$21bobobo46b2o$22bobobo44b3o$23bo4bo$24bo3bo$o70b2o$obo22b2o23bo
20b2o$3o47bobo$2bo47b3o$52bo11$56b2o$56b3o$50b2o2bo2bobo$50b2o2b2o2b2o
$54b2o!

I'm asking because a B-heptomino's evolution suggests R64 and Lx73 naturally, and the R64 has developed from periodic to stable earlier.
EDIT: Just discovered that there are LifeWiki articles for periodic conduits Lx65 and Lx84. So how about an article for Lx73?

[Amused Ition]

I'm sure this is common knowledge, but I'm just checking:

The two-glider mess isn't the thing that takes the longest to stabilize that uses two gliders and only two gliders. That's basic stuff, right?

[Hunting]

I'm sure this is common knowledge, but I'm just checking:

The two-glider mess isn't the thing that takes the longest to stabilize that uses two gliders and only two gliders. That's basic stuff, right?

What is the most long-lasting two-glider collision, then?

[Macbi]

The 2-glider mess takes the longest to stabilize:

Code: Select all

x = 368, y = 436, rule = B3/S23
109bo36bo18bo$13bo18bo19bo16bo19bo18bo19bo16bo18bo36bo$12bo18bo19bo16b
o19bo19b3o16bo17b3o16b3o15bo17bo$12b3o16b3o17b3o14b3o17b3o36b3o51bo18b
3o$181b3o4$145bo$13b3o17b3o89bo18b2o55bo$13bo19bo20bo17bo20bo13b2o15b
2o18bobo14b2o20bo16b2o$14bo19bo18b2o16b2o19b2o13bobo14bobo34bobo18b2o
16bobo$53bobo15bobo18bobo12bo53bo20bobo7$270bo$224bo22bo21bo62bo$185bo
15bo21bo22bo22b3o18bo22bo17bo$184bo15bo22b3o20b3o40bo22bo18b3o$41bo16b
o17bo16bo16bo15bo17bo16bo22b3o13b3o86b3o20b3o$21bo18bo16bo17bo16bo16bo
15bo17bo16bo$20bo19b3o14b3o15b3o14b3o14b3o13b3o15b3o14b3o$20b3o4$179b
3o15b3o59b2o$31b3o16b3o16b3o15b3o15b3o14b3o16b3o15b3o19bo17bo11b2o23b
2o20bobo20b2o40b2o$9b3o21bo18bo18bo17bo17bo16bo18bo17bo18bo17bo13b2o
23b2o21bo21b2o12b2o26b2o$11bo20bo18bo18bo17bo17bo16bo18bo17bo50bo24bo
44bo15b2o24bo$10bo285bo23$61bo157bo$29bo30bo157bo38bo$28bo15bo15b3o
155b3o14bo20bo$28b3o12bo190bo21b3o$43b3o188b3o5$260b3o$63b2o173bo21bo$
63bobo146b2o23b2o22bo$21b2o21b2o17bo149b2o22bobo$20bobo21bobo165bo$22b
o21bo17$39bo15bo39bo153bo24bo19bo$17bo20bo15bo39bo120bo16bo15bo24bo19b
o$16bo21b3o13b3o15bo21b3o17bo99bo16bo16b3o22b3o17b3o$16b3o52bo41bo100b
3o14b3o$71b3o39b3o5$74b3o$9b3o62bo17b2o16bo103bo35b2o35b2o$11bo21b2o
15b2o23bo16bobo14b2o102b2o16b2o17bobo11b2o22b2o$10bo23b2o15b2o39bo16bo
bo101bobo15bobo16bo14b2o20bo$33bo16bo180bo32bo15$19bo$18bo20bo$18b3o
17bo$38b3o7$35bo$13b2o19b2o$12bobo19bobo$14bo13$292bo$291bo74bo$206bo
84b3o71bo$205bo159b3o$205b3o2$16bo$15bo$15b3o3$206bo70b2o$205b2o71b2o
81b2o$205bobo69bo82bobo$362bo3$8b2o$9b2o$8bo18$12bo$11bo$11b3o6$14b3o$
14bo$15bo18$22bo$21bo$21b3o9$13b2o$12bobo$14bo7$262bo$261bo66bo$261b3o
63bo$327b3o$206bo59bo64b3o$205bo59b2o64bo$205b3o57bobo64bo3$14bo$13bo$
13b3o187b2o$202bobo$204bo4$12bo$11b2o$11bobo14$253bo$252bo$252b3o6$10b
o16bo$9bo16bo224bo$9b3o14b3o221b2o$250bobo6$28bo$5b2o20b2o$6b2o19bobo$
5bo11$285bo$284bo$284b3o6$287bo$286b2o$33bo252bobo$32bo$32b3o6$32b3o$
32bo$33bo8$211bo101bo$210bo101bo$210b3o99b3o5$312b3o$312bo$67bo13bo
231bo$66bo13bo$66b3o11b3o118b2o$200bobo$202bo6$62b2o21b2o$62bobo20bobo
$62bo22bo9$298bo$297bo$297b3o5$24bo273b3o$23bo274bo$bo21b3o34bo238bo$o
58bo$3o56b3o5$2b3o$2bo24b2o17b3o$3bo23bobo18bo$27bo19bo31$242bo$241bo$
241b3o7$239bo$238b2o$238bobo17$205bobobo9bobo3bo6bo3bobo4bobobo2bobo7b
o5bo2bobobo3bobo3bobo$254bo$209bo7bo7bo6bo3bo3bo2bo6bo9bobobobo2bo6bo
5bo$254bo$205bobobo2bobo2bo2bobo2bo6bo3bo3bo2bobobo2bobo7bo2bo2bo2bobo
bo3bobo3bobo2$205bo11bo4bo2bo6bo3bo3bo2bo6bo2bo6bo5bo2bo10bo5bo2$205bo
bobo9bobo3bobobo2bo3bobo4bobobo2bo3bo5bo5bo2bobobo3bobo3bobo!