For general discussion about Conway's Game of Life.

### Re: Thread for basic questions

By only collecting noninteracting objects, there are a few very interesting things missed, but that's just how the project was designed. I know in the past I've wished that close-but-not-interacting *WSS pairs were catagolued in case they allow for nice paired helix syntheses in caterpillar-like projects. Unfortunately those are impossible to get from the sample soups for *WSS because the *WSS themselves are too common to keep accruing sample soups.
Physics: sophistication from simplicity.

biggiemac

Posts: 504
Joined: September 17th, 2014, 12:21 am
Location: California, USA

### Re: Thread for basic questions

Caenbe wrote:Ok, I'll just call it a blinkross.
Suppose I want to know if a blinkross has appeared naturally in apgsearch. Do I have to look through all 300 sample soups in Catagolue containing a cross 2, and check if they have a blinker inside them?

You don't need to check the soups with diagonal symmetry (such as D8_1, D4_x1 or D2_x). The most promising symmetry class is that of the blinkross itself, namely D4_+1.
What do you do with ill crystallographers? Take them to the mono-clinic!

calcyman

Posts: 2088
Joined: June 1st, 2009, 4:32 pm

### Re: Thread for basic questions

Are there any existing fast iterators for non-totalistic rules on an infinite universe written in universal C++, or any Life ones that could be modified relatively easily to handle non-totalistic rules?
x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

$$x_1=\eta x$$
$$V^*_\eta=c^2\sqrt{\Lambda\eta}$$
$$K=\frac{\Lambda u^2}2$$
$$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$

http://conwaylife.com/wiki/A_for_all

Aidan F. Pierce

A for awesome

Posts: 1877
Joined: September 13th, 2014, 5:36 pm
Location: 0x-1

### Re: Thread for basic questions

A for awesome wrote:Are there any existing fast iterators for non-totalistic rules on an infinite universe written in universal C++, or any Life ones that could be modified relatively easily to handle non-totalistic rules?

Golly's hlife and qlife seem to fit that description.

I've also implemented a HashLife variant which uses SSE/AVX acceleration in the leaf nodes. Performance is quite promising on my rather primitive laptop for the following benchmark:

Benchmark wrote:Run the Caterpillar for 256 generations and report its population

• Golly qlife: 41 seconds
• Golly hlife: 17 seconds
• New algorithm: 12 seconds

At the moment it's limited to outer-totalistic 2-state cellular automata, plus optional history, co-history, and annotation layers (so it can run LifeHistory without the grey cells). And it has the same limitation as apgmera that it relies on rule2asm, which only works on x86_64 processors.

There's not really anything novel in this new algorithm; it just combines the best parts of HashLife with the low-level iterator from apgmera. Specifically:

• The universe is represented as a quadtree.
• A leaf node is a 16-by-16 square of cells.
• A 'leaf iteration' takes four leaf nodes forming a 32-by-32 square, advances it by n <= 8 generations using a fast SSE/AVX implementation, and returns a leaf node forming the 16-by-16 interior.
• For higher levels, it works recursively like Gosper's HashLife, caching results in a hashtable.

I've almost finished writing a high-level API for this, allowing you to manipulate patterns (shift/transform/combine/select) and iterate them in various rules. Morally like GoLGrid or LifeAPI, but for infinite universes and with HashLife capabilities.

Notably, HashLife computations from one universe are cached for later use in other universes in the 'multiverse' -- so if you run the HBK and subsequently run the HBK gun, the latter will benefit from cached results generated by the former. A caveat is that the hashtables aren't threadsafe, so you need a separate multiverse for each thread.
What do you do with ill crystallographers? Take them to the mono-clinic!

calcyman

Posts: 2088
Joined: June 1st, 2009, 4:32 pm

### Re: Thread for basic questions

calcyman wrote:Golly's hlife and qlife seem to fit that description.

Is it possible to use the source code for the Golly 2.8 versions of these, or is it impossible/illegal?
x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

$$x_1=\eta x$$
$$V^*_\eta=c^2\sqrt{\Lambda\eta}$$
$$K=\frac{\Lambda u^2}2$$
$$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$

http://conwaylife.com/wiki/A_for_all

Aidan F. Pierce

A for awesome

Posts: 1877
Joined: September 13th, 2014, 5:36 pm
Location: 0x-1

### Re: Thread for basic questions

A for awesome wrote:
calcyman wrote:Golly's hlife and qlife seem to fit that description.

Is it possible to use the source code for the Golly 2.8 versions of these, or is it impossible/illegal?

Yes, it's possible (Golly is open-source):

https://sourceforge.net/p/golly/code/ci/master/tree/gollybase/
What do you do with ill crystallographers? Take them to the mono-clinic!

calcyman

Posts: 2088
Joined: June 1st, 2009, 4:32 pm

### Re: Thread for basic questions

wildmyron wrote:@M. I. Wright: I believe you misunderstood the question.

Caenbe wrote:Are there any 2-state inner-totalistic rules with still lives, oscillators, and spaceships?

Indeed I did (confused inner- and outer-totalistic)... I'm not sure I understand it even now, though. Wouldn't regular Life satisfy the question's conditions?
gamer54657 wrote:God save us all.
God save humanity.

hgkhjfgh

nutshelltlifeDiscord 'Conwaylife Lounge'
M. I. Wright

Posts: 371
Joined: June 13th, 2015, 12:04 pm

### Re: Thread for basic questions

M. I. Wright wrote:Wouldn't regular Life satisfy the question's conditions?

It doesn't, because S3 corresponds to the transition [count = 4 -> 1] which also corresponds to B4.

In other words, to convert from inner-totalistic to B/S outer-totalistic (aka semi-totalistic) notation:

1) The rule is specified as a list of cell counts {c_i} where each c_i is one of [0-9]. Each count corresponds to a transition rule which maps any 3x3 neighbourhood with c_i On cells to the central cell being On.
2) For each c_i, include Bc_i in the transition rule (excluding c_i = 9)
3) For each c_i, include S(c_i - 1) in the transition rule (excluding c_i = 0)

Please excuse my very sloppy notation.

Warning - confusing side tangent ahead:
To be honest, I find the label outer-totalistic to describe Life-like CA to be very confusing. Semi-totalistic seems much more appropriate as the resulting state of the cell depends on the current cell state as well as the total of outer cells. Totalistic could then refer to transition rules dependent only on the total number of On cells, and outer-totalistic could refer to transition rules dependent on the total of neighbouring (outer) cells independent of the current cell state. However, that's all by the by as those terms were defined long ago and won't be changing.

Edit: spelling.
Last edited by wildmyron on October 20th, 2016, 10:23 am, edited 1 time in total.
The latest version of the 5S Project contains over 221,000 spaceships. Tabulated pages up to period 160 are available on the LifeWiki.
wildmyron

Posts: 1237
Joined: August 9th, 2013, 12:45 am

### Re: Thread for basic questions

Under wildmyron's classification, B35/S24 would be a totalistic (all9) rule. B0125/S0125 would be a outer-totalistic rule. I don't think inner-totalistic rule should refer to anything specific.

EDIT: But let's reserve such usage for conventions.
Here is my guess of how the convention works:

inner-totalistic => you should include inner-cell when you count the total ,aka k=9, and this should not result in a B/S notation.

outer-totalistic => you should only include the outer-cell when you count the total. This leads to 2 natural extension:

absolute-outer-totalistic=> don't worry about the inner cell, only use the outer-total to update, this will not give a B/S notation

semi-outer-totalistic => the state of inner cell is considered, but in a non-totalistic fashion, i.e. B string and S string are independent from each other. These rules generally have to be expressed in B/S notation, due to two distinct strings.

In other words, except for the last category, all other categories can be viewed as special cases of B/S rules. i.e. the B string and S string are the same thing -- once you know one of them, the other is also fixed.
x = 64, y = 35, rule = B0125/S01258$36bobo$36b3o$35b5o$18bo16b5o$17b3o14b7o$16b5o13b7o$15bob3obo13b5o$15bob3obo11bob5obo$16b5o13b7o$17b3o15b5o$18bo17b3o$37bo!
Last edited by shouldsee on October 20th, 2016, 11:01 am, edited 2 times in total.
shouldsee

Posts: 406
Joined: April 8th, 2016, 8:29 am

### Re: Thread for basic questions

shouldsee wrote:Under wildmyron's classification, B35/S24 would be a totalistic (all9) rule. B0125/S0125 would be a outer-totalistic rule. I don't think inner-totalistic rule should refer to anything specific.

Well yes, but please don't start using that interpretation of the terminology as it will be very confusing.
The latest version of the 5S Project contains over 221,000 spaceships. Tabulated pages up to period 160 are available on the LifeWiki.
wildmyron

Posts: 1237
Joined: August 9th, 2013, 12:45 am

### Re: Thread for basic questions

Are there infinite sparks?

I'd assume so, because you can make beautiful patterns like this:

x = 23, y = 16, rule = B35j/S2311bo$11bo$10b3o$8b7o$6b11o$bo2b4o2b3o2b4o2bo$bo4bob7obo4bo$7ob7ob7o$7ob7ob7o$bo4bob7obo4bo$bo2b4o2b3o2b4o2bo$6b11o$8b7o$10b3o$11bo$11bo! That die in one generation. This post was brought to you by the letter D, for dishes that Andrew J. Wade won't do. (Also Daniel, which happens to be me.) Current rule interest: B2ce3-ir4a5y/S2-c3-y drc Posts: 1664 Joined: December 3rd, 2015, 4:11 pm Location: creating useless things in OCA ### Re: Thread for basic questions drc wrote:Are there infinite sparks? Can you define the domain of your question? i.e. do you mean in CGOL or rules similar to CGOL or any Life-like rule? What kind of patterns would constitute an infinite spark (connected, polyomino, or other?) Without these details both of the following would seem to satisfy your request: x = 20, y = 3, rule = B3/S23:T20,0obobobobobobobobobo2$obobobobobobobobobo!

x = 20, y = 1, rule = B2/S:T20,020o!
The latest version of the 5S Project contains over 221,000 spaceships. Tabulated pages up to period 160 are available on the LifeWiki.
wildmyron

Posts: 1237
Joined: August 9th, 2013, 12:45 am

### Re: Thread for basic questions

I'd assume they would have to be connected.

An infinite 2D grid of diagonally touching blocks would instantly die.
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!
muzik

Posts: 3466
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

### Re: Thread for basic questions

x = 3356, y = 1088, rule = B3/S233o$o2bo$ob2o$4b2o5bo$4b2o4b3o$10bob2o$4b2o8bo$4b2o8b2o4b3o$10bo9bo2bo$14b2o8bo$11bo2bo7bobo6bo$8bo11bo3bo4b2ob2o$19bob5o6b2o$17bo3b2o9bobo6bo$17bobo13b2o5bobo$29b4o2b2o2b2ob2o$27b3obo7b2obo8bo$27b2o11bo2bobo4bobo4b2o$40b3o2bo3bo2bo$37b2o6bo4bobo14bo$6bo30b2o11b2o8b3o5bo$6bo44b2ob3o3b3o4bo$2b2o2b3o38b2o11bo16bo$2b2o3b2o6b2o30b2o12bo3bo5bo4bobo$o3bobobo8bo43bo3bo4b3o5bo$o3b5o3b2o43b2o3bo2bo8bo$2bob4o4bo2bob2o7bo30b2o12b3o12b3o$10b2o6bo4bob2o45b4o4b3o3b3o$10b5o2bo5bob2o10bo29b2o4b2o6bo2b3o$12bobob2o5bobob2o8bo29b2o12bo3bo5bo3bob2o$20b2o3bo2bo5b2o46bob2o5bo3bo2bo$19bo2b6o5b3o12bo28b2o4bo7bo$26bo10b2o6b2obo28b2o13b2ob2o5b2o3bo$22bo7b2o2bo3bo53b3o6b8o$29bo2bo2b3o5b2o13bo28b2o12bo3bobo$7b2o21bo2bo10b2ob2o7b3o28b2o13b2obo2bo4bo$7b2o31b2o2b2ob2o5bob2o45b2o6b2obob3o$o30bobo5bobo4bo7bo2bo9bobo27b2o12bo3bobobo$17b2o21bobo11b2ob2o7bo2bo22b2o3b2o13b2obo$9bo7b2o22b3o6bo4bobo6b3o47bo2bo4b3o2bo$9bo32b2o5bob2o3bo7bo2bo9b2o24bo3b2o10b2ob2obob2o$9bo17b2o21bo14bobo2bo2bo3b3o22bo4b2o14b3o2b2o6bo$27b2o23bo6bo5b3o2bo3bobo26bo23b3o3bo3bo$18b3o31b2o5bob2o12bobo3bo6bo24b2o2b2o10bobob2o3bo$37b2o21b2o8bo4b2o2bo2bo4b2o23bo4b2o15b2o2bo$29bo7b2o23bo6bo6bo4b3o2bo2bo23b2o22b2o3bo2b3o$29bo32bo6bobobo3bo3b3obob5o31b2o2b2o11bo2b5o$29bo17b2o14bo6b2o10b2obo3bo2bo4b3o23b2o2b2o11bo7bo$47b2o23bo6b2o3bo7bo3bo26bo9bo13bo8bo$38b3o31bo6b3ob3obo4bo2bobo2bo34bob2o9bo2b3ob3o$57b2o14b2obo8b3o4bo3b2ob3o5b2o23bobo3bo3bo7b4o4bo$49bo7b2o23b4ob3ob2o3b2o2b3o3bob2o23bo12bo6bob3o$2b2o45bo32b7o2b5obob2o4bob2obo31bobo2bobobob4o8b3o$2b2o45bo17b2o17bo12b3o3bo3bobo5bo24bobo3bo3b3o2b2ob6o2bo$67b2o22b2obo2b2o2b2o5bo3bo3bob2o23bo13b3obo3b3o$12b2o44b3o32bob3o7bob3o2bo3bo3bo31b3o2b3obo14b2o$12b2o63b2o23bob2obobob4o4bobo5b2o23b3o7b3o5bo2b2ob2o$69bo7b2o23bob2ob2o3bo3bo2b3o4bo36bo2b6obo3bo$22b2o45bo32bo3bo12b3o4bo2b2o32bo7bob2o8bo2bo$22b2o45bo17b2o26b3o4bob2o5bo6bo24bo9b2o8bo2b2o$87b2o22b3ob3obo3bob2o3bo6b2o24bo5bo9b3obo4bo$5b2o25b2o44b3o42b2o4b2o5b2ob2o25b2o6b5obo2b2o9b2o$4bo2bo24b2o63b2o21bob2ob2o3bo2bo3bo3bo7bo23b7o3bo6bo2b4o$4bobo82bo7b2o22b2o3b2o2b2obob4obo6b2o24bob4o11bo2bo3b2o$5bo9b2o25b2o45bo40b2o2bo3b2o7bo3bo38bo3bob3o$14bo2bo24b2o45bo17b2o22b2o3b2o3bob2o2bob2o9bo22b7o4b3ob2o3b4o$14bobo90b2o23bo3b2o3bob4ob3o7bobo22bo10b3ob3o2bo3bo$o14bo9b2o25b2o44b3o40bo15b2o9bo26b2ob2o4b2ob2o$24bo2bo24b2o63b2o22bo4b2o4b2o3bob3o7bo22bo2bo2bo10bo4b2o$9bo14bobo82bo7b2o23bo3bo4b3ob2o11b3o21bobo10bo4bob2ob2o$9bo15bo9b2o25b2o45bo33bo7bo4bobo8bo2bo7bo25b2obobo5b3o$9bo24bo2bo24b2o45bo17b2o23b6o8bo3b2o5bobo22b3o3bo9b2o$34bobo90b2o23b3o6b4o3bo10bo22b2o11b3obo3b4o$18b3o14bo9b2o25b2o44b3o40bo4b2o8bo3bo34bob3o2b2obo2bo$44bo2bo24b2o63b2o23b3ob2o8bobobo6b3o22b2o8b2o4bo$29bo14bobo82bo7b2o24bo7b2obobo3bo6b3o23bo9b5obo4bo$29bo15bo9b2o25b2o45bo41bo2b5o6b2o36bobo2b2o2b2ob3o$29bo24bo2bo24b2o45bo17b2o23b3o13b3o7bo23b2o9bo2b3o$54bobo90b2o32b2obobob2o7b3o24bo9b2o3bo3bobo$38b3o14bo9b2o25b2o44b3o40b2ob2obo8bo4bo31bo5bo3bo2bo$64bo2bo24b2o63b2o24bo11b2ob2obo31bobo2bo4bo2b2obo6bobo$49bo14bobo82bo7b2o32b2obob3o8b3o23bo10b2o3bo3bobo$2b2o45bo15bo9b2o25b2o45bo42bobo13bobobo32bob2o4b2o4bo$2b2o45bo24bo2bo24b2o45bo17b2o24bo7bo3b2obo3bo30b6o5b3o2bo6b2o$74bobo90b2o33bobo2bo8bobo24bo11bob2o7b3o$12b2o44b3o14bo9b2o25b2o44b3o41b3o4bo2bo2bo2b2o2bo22b2o10b2o3b3o2b2o$12b2o70bo2bo24b2o63b2o31bo2bo4bob3o30b3o8bobo2bo6b2o$69bo14bobo82bo7b2o33b3ob2o2b2o6bo4bo20bo2bo9b2o4bo3bo$22b2o45bo15bo9b2o25b2o45bo43bo6b3o2b4o2bo3bo19b2o7bo8bo4bo$22b2o45bo24bo2bo24b2o45bo17b2o31bo4b2obo2bo32bo2bo5bo2bo2bo6bo$94bobo90b2o32bob2ob2o3bo5bo26bo2bo7bob2o5b4o$32b2o44b3o14bo9b2o25b2o44b3o42bo7b2o5b2o2b3o20b2o7b3o6b3o2bo$32b2o70bo2bo24b2o63b2o24bo6bo3b3o4b5o28bobo6bo2bo2bo$89bo14bobo82bo7b2o31bo5b2o5b5o27b2o8bob2o6b3o$42b2o45bo15bo9b2o25b2o45bo42b2o8bo2bo2bo26b2o7b2o7b2o3bo$42b2o45bo24bo2bo24b2o45bo17b2o25bo4bob2ob3ob2ob5o37bo3b2o$114bobo90b2o31bob2o4b4o4bo28b2o8bob2o7bo$52b2o44b3o14bo9b2o25b2o44b3o42bobo3b3o5b2o27bo7b2o8b2ob2o$3b2o47b2o70bo2bo24b2o63b2o25bo4b3o3b4o36bo5b2ob2ob2o12bo$3b2o104bo14bobo82bo7b2o34b2o5b7o28b3o7bo9bo5bo6b2obo$62b2o45bo15bo9b2o25b2o45bo43b3o2bo2bob3obo37bo2bo3bo2bobo$13b2o47b2o45bo24bo2bo24b2o45bo17b2o29bo8b2o36b2o4bo3bob2o6bo6bo$13b2o119bobo90b2o31b2ob2o3bo6b2o29b2o4bo2bobo7bo4b2o9bo$72b2o44b3o14bo9b2o25b2o44b3o43bo3b7o2bo38bobo3b2obobo9b5o$23b2o47b2o70bo2bo24b2o63b2o26bo3bobobo3bo38b2o3bo3b3o7b8o$23b2o104bo14bobo82bo7b2o31b2obo4bo2b2o3bo29bo5b2o3bo7bob2o$82b2o45bo15bo9b2o25b2o45bo44bo4bo5b2o3bo35bo5b2obo8bo5b3o$33b2o47b2o45bo24bo2bo24b2o45bo17b2o26bo3bo2bob2obo38b3o3b2o2bo9b4o$33b2o119bobo90b2o27bo3b2o2b3obo2bo40b2o2bobo6bo7bo$92b2o44b3o14bo9b2o25b2o44b3o44b3o3b2o2b3o2b2o25b2o13bo2bo7bo7bo$43b2o47b2o70bo2bo24b2o63b2o27b4ob2o2bo3bo36b2o4b2obobobo5bo4b3o$43b2o104bo14bobo82bo7b2o28b2obo4bo2b4o35bobo3bo7bo4b4obobo$102b2o45bo15bo9b2o25b2o45bo45bo3bobo4b2o2bo26b2o5bo2bo4bo3b4obobo$53b2o47b2o45bo24bo2bo24b2o45bo17b2o27bob2obo3b2o3b2o37bo3bobo3b4ob2o4b3o$53b2o119bobo90b2o28bo3bo3bobo2b2o4bo2bo26b2obo3bobo5bob2obo2bo3bo$112b2o44b3o14bo9b2o25b2o44b3o45b3o7bo3bo27bo5b3o7bobob2o3bo$63b2o47b2o70bo2bo24b2o63b2o27b3o3bo2b2o4bo34b2obo3bobo4b3ob2o5bo$63b2o104bo14bobo82bo7b2o31b2o3bo5bo5b2o28b3o3b2o9bobo3b3o$122b2o45bo15bo9b2o25b2o45bo46b2o3b2o3b4o35bo10bo2b5o$73b2o47b2o45bo24bo2bo24b2o45bo17b2o28bobob2o3bo2b2o35b2obo3bobob2o5bo$73b2o119bobo90b2o31bo4bo2b4o5bo30b2o3b2ob3o5b2o4b3o$132b2o44b3o14bo9b2o25b2o44b3o45b4obo5b2o37b2o7b2o2bo3bo$83b2o47b2o70bo2bo24b2o63b2o30bo2bo3bo2b2o36bobo3bobo2bo5bo$83b2o104bo14bobo82bo7b2o30bobo4b2o2bo6bo30b2o3b2o2bo3bo3bo5bo$142b2o45bo15bo9b2o25b2o45bo46b2o3bo4bobo38bo7bo4b3o$93b2o47b2o45bo24bo2bo24b2o45bo17b2o30b3o7bo2bo34bobo3bobo3b5o$93b2o119bobo90b2o31b2o4b2ob2o37b2o3b2o3b2o3b2o$152b2o44b3o14bo9b2o25b2o44b3o46b3o6b3o3bo34b2o5b2o4b3o$103b2o47b2o70bo2bo24b2o63b2o30b2obo4b2o3bo35b2o3b2o4bo3bo$103b2o104bo14bobo82bo7b2o32bo5bo2b2o37bo3bo4bo5bo$162b2o45bo15bo9b2o25b2o45bo46bo2bob2o4bo40bo5bo6bo$113b2o47b2o45bo24bo2bo24b2o45bo17b2o29bob3o2bob2o2b3o34b3ob3o5b3o$113b2o119bobo90b2o36bo3bo18bo30b2ob2o$172b2o44b3o14bo9b2o25b2o44b3o46bo3bo5bo5bo34b2o3b2o6bo$123b2o47b2o70bo2bo24b2o63b2o28bob2ob2ob3o4bo5bo30b2ob2o6bobo$123b2o104bo14bobo82bo7b2o37bo2bob2o13b2o31bo3bo$182b2o45bo15bo9b2o25b2o45bo47b3ob2obo9b5o30bo3bo$133b2o47b2o45bo24bo2bo24b2o45bo17b2o29b2o3bo2b3o4b3ob2o7b2o21b2ob2o6b3o$133b2o119bobo90b2o37bo5b2o46b3o$192b2o44b3o14bo9b2o25b2o44b3o46b2obobo12bo2bo8bo21bo3bo$143b2o47b2o70bo2bo24b2o63b2o30bo3b2o2b2o5b2ob2o7bo22b2ob2o7bo$143b2o104bo14bobo82bo7b2o37b2o2bob2o2bo9bo33b3o$202b2o45bo15bo9b2o25b2o45bo48bobobo2b2o8b3o9bo21bo3bo$153b2o47b2o45bo24bo2bo24b2o45bo17b2o30bo3b2ob2o9b2o2b2o3bobo20b2ob2o$153b2o119bobo90b2o38bob2ob2obo10bo33b3o$212b2o44b3o14bo9b2o25b2o44b3o47b3ob2obo9b2o10bo21bo3bo$163b2o47b2o70bo2bo24b2o63b2o35bo2b2o8bo3b2o3bobo12bo7b2ob2o$163b2o104bo14bobo82bo7b2o38b4o2b3ob2o2b2o3bo2bo12bo18bo$222b2o45bo15bo9b2o25b2o45bo51bob3ob6ob3o4bo5bo21b2ob2o$173b2o47b2o45bo24bo2bo24b2o45bo17b2o39bobobo6bobo4bobo11b2o7b2ob2o$173b2o119bobo90b2o42b6obo2bo4bobo9bo3bo18bo$232b2o44b3o14bo9b2o25b2o44b3o46b2o2bo6b2obo2b2o4b2o5bo4bo17bobo$183b2o47b2o70bo2bo24b2o63b2o43bo2bo3b3o5b2o20b2ob2o$183b2o104bo14bobo82bo7b2o38bo3b2ob2obo8bobo10b4o$242b2o45bo15bo9b2o25b2o45bo47bo2bo8b2o4bobo3bo6b3obo17b3o$193b2o47b2o45bo24bo2bo24b2o45bo17b2o29bo10b3obob6obo4b2o21bobo$193b2o119bobo90b2o38b2ob2o3bobobo6bo13b2o8bobo$252b2o44b3o14bo9b2o25b2o44b3o46b2o11bobo4bo2b2o7b2ob2o17bo$203b2o47b2o70bo2bo24b2o63b2o30bo10b2o2bob2o4bo2bob2o21b3o$203b2o104bo14bobo82bo7b2o38b2o5bo3bobobo5bo12bo8bobo$262b2o45bo15bo9b2o25b2o45bo48bobo9bo6bob2obo6b2obo$213b2o47b2o45bo24bo2bo24b2o45bo17b2o30bo8bob2obo3b3o2bo2bo2bo3b2o16b3o$213b2o119bobo90b2o39bobo3b2o4b3obobobo3b2o16bo2bo$272b2o44b3o14bo9b2o25b2o44b3o47b3o9bo2b5ob2obo4bo2b3o$223b2o47b2o70bo2bo24b2o63b2o39bobo2b3o3bo2bobobo2b2obo18bo$223b2o104bo14bobo82bo7b2o39b3o5bo4bo2bo4b2obo7bo8b2ob2o$282b2o45bo15bo9b2o25b2o45bo49bo10bobob3o2bo2bo8bo2bo7b2o$233b2o47b2o45bo24bo2bo24b2o45bo17b2o38bo2bo6b2o3b3ob3o2bobo5b2obo8bo$233b2o119bobo90b2o39b3o2bo3b2o4b2ob4o12b2o6bobo$292b2o44b3o14bo9b2o25b2o44b3o56b2obobo4bo3bo9b3o5b2ob2o$243b2o47b2o70bo2bo24b2o63b2o39b3obobo3bo3b2ob2o5b2o5b2obo$243b2o104bo14bobo82bo7b2o40bo4bo2bo5bo3b3o12bo7b3o$302b2o45bo15bo9b2o25b2o45bo58bo2bo8bo11bo7bobo$253b2o47b2o45bo24bo2bo24b2o45bo17b2o39b3o2bo4b4o2b2o2bo3bo7bobo$253b2o119bobo90b2o44bobobo2b2ob3obo2bobo7b2o9bo$312b2o44b3o14bo9b2o25b2o44b3o57b3o2bo2b2o2bo8b3o8b3o$263b2o47b2o70bo2bo24b2o63b2o40bo3b3ob2obo3bo3bobobo7bobo$263b2o104bo14bobo82bo7b2o45b2obo3bo2b2o2bob3o$322b2o45bo15bo9b2o25b2o45bo58bobo2bo2bo12bobo8b3o$273b2o47b2o45bo24bo2bo24b2o45bo17b2o40bo4b2o2bobo7bobobo7bo2bo$273b2o119bobo90b2o45bo3b3o2b3o2bo2b2o$332b2o44b3o14bo9b2o25b2o44b3o57b3o4bo3bo10bo10bo$283b2o47b2o70bo2bo24b2o63b2o45b2o12bobob2o6b3o$283b2o104bo14bobo82bo7b2o44bo4b3o2b2o3b2obo9b3o$342b2o45bo15bo9b2o25b2o45bo59bo4b2o3bo10bob2o7bo$293b2o47b2o45bo24bo2bo24b2o45bo17b2o43bobo4bobo5bo2bobo7bobo$293b2o119bobo90b2o44bo4b3o3bo3b2o9bo3bo$352b2o44b3o14bo9b2o25b2o44b3o62b2o4bobo10bo$303b2o47b2o70bo2bo24b2o63b2o43bobo2bobobo8b3o7b3o$303b2o104bo14bobo82bo7b2o43bo6b2o5b3o2bo8b3o$362b2o45bo15bo9b2o25b2o45bo63b5obobo7bo2bo$313b2o47b2o45bo24bo2bo24b2o45bo17b2o43bobo2bob2o10bo9bo$313b2o119bobo90b2o43bo3bo3bo6bo3bo8b3o$372b2o44b3o14bo9b2o25b2o44b3o52bo9b2ob2ob2o8bo$323b2o47b2o70bo2bo24b2o63b2o36bo5bo2bo2bob2o8b3o2bo$323b2o104bo14bobo82bo7b2o43bo2b2o8bo2b2obo2bo5b3o$382b2o45bo15bo9b2o25b2o45bo53b3o5bobo3b3o9bo2bo$333b2o47b2o45bo24bo2bo24b2o45bo17b2o36bo6b2o3bo7bo3bo2b2o$333b2o119bobo90b2o43b2o6b2o3bo2b2o2b3o6bo$392b2o44b3o14bo9b2o25b2o44b3o53b3o6bob2o2bobobo6b3o$343b2o47b2o70bo2bo24b2o63b2o43b2ob2o3b5o4b2o2bo$343b2o104bo14bobo82bo7b2o44bob2o4bob3o3bo4bo$402b2o45bo15bo9b2o25b2o45bo54b2o7bobo3bobobo6b3o$353b2o47b2o45bo24bo2bo24b2o45bo17b2o44bobo4b3o7bo2bo$353b2o119bobo90b2o44bobo8b2o3bo2b2o$412b2o44b3o14bo9b2o25b2o44b3o53b2o8b2o3bob3o7bo$363b2o47b2o70bo2bo24b2o63b2o44bo6bo9b3o$363b2o104bo14bobo82bo7b2o44bobo9bo3bo2b2o$422b2o45bo15bo9b2o25b2o45bo54b2o8b2o3bo4bo$373b2o47b2o45bo24bo2bo24b2o45bo17b2o44bo6b2o8b3o$373b2o119bobo90b2o45b2o9bo3bo2bo$432b2o44b3o14bo9b2o25b2o44b3o53b2o7b3o3bo3bo$383b2o47b2o70bo2bo24b2o63b2o51b5o6bo$383b2o104bo14bobo82bo7b2o45b2o6b2obo4b3o$442b2o45bo15bo9b2o25b2o45bo54b2o8b2o3b2o2bo$393b2o47b2o45bo24bo2bo24b2o45bo17b2o52b3o$393b2o119bobo90b2o45b2o9bo4b3o$452b2o44b3o14bo9b2o25b2o44b3o53b2o8b2o4bo2bo$403b2o47b2o70bo2bo24b2o63b2o51bob2o$403b2o104bo14bobo82bo7b2o45b2o8b2o5bo$462b2o45bo15bo9b2o25b2o45bo54b2o8b2o4b3o$413b2o47b2o45bo24bo2bo24b2o45bo17b2o51bob2o$413b2o119bobo90b2o45b2o8bo$472b2o44b3o14bo9b2o25b2o44b3o53b2o8b2o4b3o$423b2o47b2o70bo2bo24b2o63b2o41bo9bo2bo$423b2o104bo14bobo82bo7b2o45b2o8bo$482b2o45bo15bo9b2o25b2o45bo51bo2bo7bobo6bo$433b2o47b2o45bo24bo2bo24b2o45bo17b2o29bo11bo3bo4b2ob2o$433b2o119bobo90b2o40bob5o6b2o$492b2o44b3o14bo9b2o25b2o39bo4b3o10b2o34bo3b2o9bobo6bo$443b2o47b2o70bo2bo24b2o39bo23b2o28bobo13b2o5bobo$443b2o104bo14bobo82bo7b2o40b4o2b2o2b2ob2o$502b2o45bo15bo9b2o25b2o39b2o4bo11bo35b3obo7b2obo8bo$453b2o47b2o45bo24bo2bo24b2o38bo6bo11b2o4bo29b2o11bo2bobo4bobo4b2o$453b2o119bobo76bo5bob2o4b2obo39b3o2bo3bo2bo$512b2o44b3o14bo9b2o25b2o36bo2bo5b3o9bo35b2o6bo4bobo14bo$463b2o47b2o70bo2bo24b2o37bobo6b2o10bo34b2o11b2o8b3o5bo$463b2o104bo14bobo74b2o5bo2bo4b3obo40b2ob3o3b3o4bo$522b2o45bo15bo9b2o25b2o37b3o5b3o6b2obo35b2o11bo16bo$473b2o47b2o45bo24bo2bo24b2o37b2o15b2o2bo3b2o29b2o12bo3bo5bo4bobo$473b2o119bobo75bo6b3o7b2o40bo3bo4b3o5bo$532b2o44b3o14bo9b2o25b2o37b2o7bo6bo3bo35b2o3bo2bo8bo$483b2o47b2o70bo2bo24b2o38bo16bo2bo3b2o29b2o12b3o12b3o$483b2o104bo14bobo75bo6b3o5b3o42b4o4b3o3b3o$542b2o45bo15bo9b2o25b2o37bobo10bo2bo2b2o5bo29b2o4b2o6bo2b3o$493b2o47b2o45bo24bo2bo24b2o25b2o9bo18b2o6bo29b2o12bo3bo5bo3bob2o$493b2o119bobo66bo16b2ob2o2b3o42bob2o5bo3bo2bo$552b2o44b3o14bo9b2o25b2o25bo2bo8b3o16bo7bo28b2o4bo7bo$503b2o47b2o70bo2bo24b2o37b2o12bo2bob2o4bobo28b2o13b2ob2o5b2o3bo$503b2o104bo14bobo52b2o10bobo8bobo6b3o48b3o6b8o$562b2o45bo15bo9b2o25b2o26b3o20b2o2bob2o7bo28b2o12bo3bobo$513b2o47b2o45bo24bo2bo24b2o25b2o10b2o10b2o6bo4b3o28b2o13b2obo2bo4bo$513b2o119bobo52b2o10b2o9b3o2bo4bobo2bo45b2o6b2obob3o$572b2o44b3o14bo9b2o25b2o29bo8bo4bo3bobo3bo9bobo27b2o12bo3bobobo$523b2o47b2o70bo2bo24b2o25b2o10b2o10bo4b4o4bo2bo22b2o3b2o13b2obo$523b2o104bo14bobo52b2o11bobobo6bo3b5o2b3o47bo2bo4b3o2bo$582b2o45bo15bo9b2o25b2o30bobo4bo2bo6bo2b2obo9b2o24bo3b2o10b2ob2obob2o$533b2o47b2o45bo24bo2bo24b2o25b2o10bo6bo5b2obo2bo2bo3b3o22bo4b2o14b3o2b2o6bo$533b2o119bobo52b2o11bo2bobo3bo2b2o3b3o2bobo26bo23b3o3bo3bo$592b2o44b3o14bo9b2o25b2o29bobo5bo2bob2o7bobo3bo6bo24b2o2b2o10bobob2o3bo$543b2o47b2o70bo2bo24b2o25b2o11b2o2b3obo4bobo4bo4b2o23bo4b2o15b2o2bo$543b2o104bo14bobo52b2o11b4o6bo2bob3ob3o2bo2bo23b2o22b2o3bo2b3o$602b2o45bo15bo9b2o25b2o31bo5bo2bo2b3o2b2obob5o31b2o2b2o11bo2b5o$553b2o47b2o45bo24bo2bo24b2o25b2o11b2o6bob2obo3bo2bo4b3o23b2o2b2o11bo7bo$553b2o119bobo52bo14b3o3bobo2bo2bo3bo3bo26bo9bo13bo8bo$612b2o44b3o14bo9b2o25b2o27bo10bo2b3obo2bo2bobo2bo34bob2o9bo2b3ob3o$563b2o47b2o70bo2bo24b2o24bobo14b2o3bobo3b2ob3o5b2o23bobo3bo3bo7b4o4bo$563b2o104bo14bobo52bo12b2ob2o4b2o3b2o2b3o3bob2o23bo12bo6bob3o$622b2o45bo15bo9b2o25b2o24bobo9bo5bo3bo4bob2obo31bobo2bobobob4o8b3o$573b2o47b2o45bo24bo2bo24b2o24bobo11bo2bo4b2o3bo3bobo5bo24bobo3bo3b3o2b2ob6o2bo$573b2o119bobo52bo13bo2bo4b2o5bo3bo3bob2o23bo13b3obo3b3o$632b2o44b3o14bo9b2o25b2o24b2o2bo3bo2bo5bob3o2bo3bo3bo31b3o2b3obo14b2o$583b2o47b2o70bo2bo24b2o24b3o10b2o3bob2ob4o4bobo5b2o23b3o7b3o5bo2b2ob2o$583b2o104bo14bobo60bo2b3o3b3o3bo3bo2b3o4bo36bo2b6obo3bo$642b2o45bo15bo9b2o24bo2bo24bob2o5bo10b3o4bo2b2o32bo7bob2o8bo2bo$593b2o47b2o45bo24bo2bo24b2o25bo7b2o6b3o4bob2o5bo6bo24bo9b2o8bo2b2o$593b2o119bobo34bo2bo13bo8b2ob4o5bo3bob2o3bo6b2o24bo5bo9b3obo4bo$652b2o44b3o14bo9b2o24bo2bo24bo8bo4b2o4b2o5b2ob2o25b2o6b5obo2b2o9b2o$603b2o47b2o70bo2bo24b2o25bo5bo2bobob2ob2o3bo2bo3bo3bo7bo23b7o3bo6bo2b4o$603b2o104bo14bobo34b2obo10bob2o6bo2bo2b2o3b2o2b2obob4obo6b2o24bob4o11bo2bo3b2o$662b2o45bo15bo9b2o24b4o23b2o6b2o2b2o2bo3b2o7bo3bo38bo3bob3o$613b2o47b2o45bo24bo2bo49b2o6b3o3b2o3b2o3bob2o2bob2o9bo22b7o4b3ob2o3b4o$613b2o119bobo34b2ob2o7bob3o7bo2bo3bo3b2o3bob4ob3o7bobo22bo10b3ob3o2bo3bo$672b2o44b3o14bo9b2o25b2o10b2o12bo12bo15b2o9bo26b2ob2o4b2ob2o$623b2o47b2o70bo2bo34bob2o11b2o7bo4bo4b2o4b2o3bob3o7bo22bo2bo2bo10bo4b2o$623b2o104bo14bobo35bobo7bo3bo8b3o4bo3bo4b3ob2o11b3o21bobo10bo4bob2ob2o$682b2o45bo15bo9b2o25b2o8bob2o9bob2o4bo7bo4bobo8bo2bo7bo25b2obobo5b3o$633b2o47b2o45bo24bo2bo36bo9b2obo14b6o8bo3b2o5bobo22b3o3bo9b2o$633b2o119bobo35b2o8b3obo8b3o4b3o6b4o3bo10bo22b2o11b3obo3b4o$692b2o44b3o14bo9b2o25b2o8b3o9bo2bo13bo4b2o8bo3bo34bob3o2b2obo2bo$643b2o47b2o70bo2bo49bo14b3ob2o8bobobo6b3o22b2o8b2o4bo$643b2o104bo14bobo35b2o9bob2o9bo6bo7b2obobo3bo6b3o23bo9b5obo4bo$702b2o45bo15bo9b2o25b2o8b2o11b3o13bo2b5o6b2o36bobo2b2o2b2ob3o$653b2o47b2o45bo24bo2bo46b2obo14b3o13b3o7bo23b2o9bo2b3o$653b2o119bobo35b2o9bobo25b2obobob2o7b3o24bo9b2o3bo3bobo$712b2o44b3o14bo9b2o25b2o9b2o10b3o13b2ob2obo8bo4bo31bo5bo3bo2bo$663b2o47b2o70bo2bo35bo10bo2bo15bo11b2ob2obo31bobo2bo4bo2b2obo6bobo$663b2o104bo14bobo35b2obo7bo27b2obob3o8b3o23bo10b2o3bo3bobo$722b2o45bo15bo9b2o26bobo8b2o10b2o14bobo13bobobo32bob2o4b2o4bo$673b2o47b2o45bo24bo2bo35bo10b2obo15bo7bo3b2obo3bo30b6o5b3o2bo6b2o$673b2o119bobo36b3o8b2o26bobo2bo8bobo24bo11bob2o7b3o$732b2o44b3o14bo9b2o26bobo8b2o10b2o14b3o4bo2bo2bo2b2o2bo22b2o10b2o3b3o2b2o$683b2o47b2o70bo2bo47bobo22bo2bo4bob3o30b3o8bobo2bo6b2o$683b2o104bo14bobo35bob2o8b2o26b3ob2o2b2o6bo4bo20bo2bo9b2o4bo3bo$742b2o45bo15bo9b2o26bobo10bo9b2o15bo6b3o2b4o2bo3bo19b2o7bo8bo4bo$693b2o47b2o45bo24bo2bo35bo11bo2bo21bo4b2obo2bo32bo2bo5bo2bo2bo6bo$693b2o119bobo35bo3bo8bo25bob2ob2o3bo5bo26bo2bo7bob2o5b4o$752b2o44b3o14bo9b2o25bob2o9b2o26bo7b2o5b2o2b3o20b2o7b3o6b3o2bo$703b2o47b2o70bo2bo10b2o24b2o9b4o14bo6bo3b3o4b5o28bobo6bo2bo2bo$703b2o104bo14bobo35b2ob2o9b2obo20bo5b2o5b5o27b2o8bob2o6b3o$762b2o45bo15bo9b2o11bo13bobo19bo17b2o8bo2bo2bo26b2o7b2o7b2o3bo$713b2o47b2o45bo24bo2bo10bo20bo4b2o11b2o15bo4bob2ob3ob2ob5o37bo3b2o$713b2o119bobo12bo5bo15bobobo8bob2obob2o17bob2o4b4o4bo28b2o8bob2o7bo$772b2o44b3o14bo9b2o10bo14bo2bo2bo10b6o18bobo3b3o5b2o27bo7b2o8b2ob2o$723b2o47b2o70bobo3bo7b2o20b2o3b7obo3b2o15bo4b3o3b4o36bo5b2ob2ob2o12bo$723b2o104bo14b3o14b2o2bo6bo5bo4bob2ob2ob2obo2bobo23b2o5b7o28b3o7bo9bo5bo6b2obo$782b2o45bo21bo4bo3b8o14b2o7b3obo3b5obo17b3o2bo2bob3obo37bo2bo3bo2bobo$733b2o47b2o45bo22bo2b2o3b2o2b3obo5bo8b2o4b3ob6o4bo3b2o19bo8b2o36b2o4bo3bob2o6bo6bo$733b2o119b2o6b2o2bob2o5bo6b3o8bo11bob2o21b2ob2o3bo6b2o29b2o4bo2bobo7bo4b2o9bo$792b2o44b3o21b3ob9o2b2o4bo4b2o3bo4bob3o2bo3bo5bo18bo3b7o2bo38bobo3b2obobo9b5o$743b2o47b2o68b2obo10bo3b5o8b2o8b2ob3ob8o17bo3bobobo3bo38b2o3bo3b3o7b8o$743b2o104bo14bo3bo4bo2bo2b4o2bo5b2o2bo3bo3bo4bob2obobob2o21b2obo4bo2b2o3bo29bo5b2o3bo7bob2o$802b2o45bo14bo7b2o3b2o4b2o3b2o8bo5b7o2bo5bo24bo4bo5b2o3bo35bo5b2obo8bo5b3o$753b2o47b2o45bo23bo3bo6bobob3ob2o4bo5b3o8b4o3bob3o18bo3bo2bob2obo38b3o3b2o2bo9b4o$753b2o112b2o5b4o5b4o2bo2bob2o5b2o6b5o4bob2obobob2o17bo3b2o2b3obo2bo40b2o2bobo6bo7bo$812b2o44b3o14b3o5bo3bo6b2o2bo2bo7b4ob3o2bo3bo4bo26b3o3b2o2b3o2b2o25b2o13bo2bo7bo7bo$763b2o47b2o63b2o4bo2b2o8b3ob3o5bo2bo3bo2bo4b6o3b2ob2o19b4ob2o2bo3bo36b2o4b2obobobo5bo4b3o$763b2o104bo7b2o5b3o6bo2bo5bob2o3bobo10b2o7bo3bobo19b2obo4bo2b4o35bobo3bo7bo4b4obobo$822b2o45bo23b2o2b2o3bobo6bo7b3o3b3o2b2obo3b2o26bo3bobo4b2o2bo26b2o5bo2bo4bo3b4obobo$773b2o47b2o45bo17b2o5b3o10b2o2b2o2bo3bo5bo3b2ob6o4b2ob2o19bob2obo3b2o3b2o37bo3bobo3b4ob2o4b3o$773b2o112b2o6bo10b2obo4bo4b2o8b3o9bobobobo19bo3bo3bobo2b2o4bo2bo26b2obo3bobo5bob2obo2bo3bo$832b2o44b3o21b3o2bo5b2o5b2o3bo4bo4b3o3bob2o2bo28b3o7bo3bo27bo5b3o7bobob2o3bo$783b2o47b2o63b2o5b3o5b2o4bo2bo13bo2bobobo2b3o4b2ob2o19b3o3bo2b2o4bo34b2obo3bobo4b3ob2o5bo$783b2o104bo7b2o13b2o3b3o3b3o2b2o6bo3b2o10b2ob2o23b2o3bo5bo5b2o28b3o3b2o9bobo3b3o$842b2o45bo23bobobo12b2o13b3o3bo5bo28b2o3b2o3b4o35bo10bo2b5o$793b2o47b2o45bo17b2o7bo5bo5b2o2bob2o3bo6bobobobo2b3o5bobo21bobob2o3bo2b2o35b2obo3bobob2o5bo$793b2o112b2o6bo6b2o4b2o9bo7b2ob2o2bo7b5o23bo4bo2b4o5bo30b2o3b2ob3o5b2o4b3o$852b2o44b3o25bo7bo2bo2b2o5b2o7b2o3bo5bo28b4obo5b2o37b2o7b2o2bo3bo$803b2o47b2o63b2o5bobo4bo2bo3b2o2bob2ob2o6bo2bobobob4o7bo23bo2bo3bo2b2o36bobo3bobo2bo5bo$803b2o104bo7b2o6bo5bob3o3bo2bob2ob2o9bob2o10b4o23bobo4b2o2bo6bo30b2o3b2o2bo3bo3bo5bo$862b2o45bo24bobo7bo2bo2b2o3bo2bo6b3o3bo5bo28b2o3bo4bobo38bo7bo4b3o$813b2o47b2o45bo17b2o5bobo3bo3bo2bob2o4bo2bo8bo2bo2b5o31b3o7bo2bo34bobo3bobo3b5o$813b2o112b2o6bo4bob2o6b3o2bobo3bo4b2o2b2o10bob3o23b2o4b2ob2o37b2o3b2o3b2o3b2o$872b2o44b3o23bobo4bo3b3o2bo5b2o7b3o3bobo33b3o6b3o3bo34b2o5b2o4b3o$823b2o47b2o63b2o5b3o3b3o2b2o3bo5b2o6bo2bo2bo2b5o31b2obo4b2o3bo35b2o3b2o4bo3bo$823b2o104bo7b2o12b2o2bo4b2ob2o2bo4b5o3b2o4bo8b2obo22bo5bo2b2o37bo3bo4bo5bo$882b2o45bo24b3o4bo4bo4b3o2bo8b2o4b3ob2obo27bo2bob2o4bo40bo5bo6bo$833b2o47b2o45bo17b2o6bo5bo4bo3b2o4bo10bo3b2o2b2o31bob3o2bob2o2b3o34b3ob3o5b3o$833b2o112b2o12bo3bo5bob4o7b3o3bo13bo3bo26bo3bo18bo30b2ob2o$892b2o44b3o21bo2b2o5bo2b2o4b3obo3bo4bobo5bo2b4o28bo3bo5bo5bo34b2o3b2o6bo$843b2o47b2o63b2o5bo7b3o6bo2bo10bobo3b2o3bo30bob2ob2ob3o4bo5bo30b2ob2o6bobo$843b2o104bo7b2o13b4o5bob4o7b3o3bo18bo26bo2bob2o13b2o31bo3bo$902b2o45bo22bo2bo6bo4bo3b2o7b2obo3bo5b3ob2o28b3ob2obo9b5o30bo3bo$853b2o47b2o45bo17b2o4bobo7bo7b2o7b2obob2o5b3obo31b2o3bo2b3o4b3ob2o7b2o21b2ob2o6b3o$853b2o112b2o14b2obo6b3o5bo3b2o3b2o4bo12b2o25bo5b2o46b3o$912b2o44b3o21bo3bo5bo3b2o3b2o7b2ob2o10bo2bo28b2obobo12bo2bo8bo21bo3bo$863b2o47b2o63b2o3bo8bo2bob2o4bo10b5o4b3obobo30bo3b2o2b2o5b2ob2o7bo22b2ob2o7bo$863b2o104bo7b2o5b2o8bobo8bo5bo9bobo2b5o8bo26b2o2bob2o2bo9bo33b3o$922b2o45bo21bo2bobo6b2obo4b3o6b2o2bo3bo10b2o27bobobo2b2o8b3o9bo21bo3bo$873b2o47b2o45bo17b2o3b4o6b3ob2o13bobob3o4bob3o2b2o7bo20bo3b2ob2o9b2o2b2o3bobo20b2ob2o$873b2o112b2o5bo6b2o3bo14b2o8bobob2o2bo6bo2bo27bob2ob2obo10bo33b3o$932b2o44b3o20b2obobo7b3o5bob2o5bo6bo11bo27b3ob2obo9b2o10bo21bo3bo$883b2o47b2o63b2o4b3o7b2obo14bo3b3o7bo4bo33bo2b2o8bo3b2o3bobo12bo7b2ob2o$883b2o104bo7b2o12b2o3bo15b4o5b3ob2o2bo7b3o27b4o2b3ob2o2b2o3bo2bo12bo18bo$942b2o45bo22bob2o9bo6bobo6bob2o3bo7b3obo30bob3ob6ob3o4bo5bo21b2ob2o$893b2o47b2o45bo17b2o5b2o6bob3o15bo2b3o7bob2obo37bobobo6bobo4bobo11b2o7b2ob2o$893b2o112b2o13bo3bo15b2o7b2o2b2o2bo8b2o31b6obo2bo4bobo9bo3bo18bo$952b2o44b3o21b4o19bo5bob2o3bo7b2o2bo26b2o2bo6b2obo2b2o4b2o5bo4bo17bobo$903b2o47b2o63b2o5bo7bob3o4bo3bo6bo2b3o7bo4bo41bo2bo3b3o5b2o20b2ob2o$903b2o104bo7b2o13b2o2bo3bo12bo7b2o2bo2b2o8b2o27bo3b2ob2obo8bobo10b4o$962b2o45bo23b3o17b3o5b2o3bo10bo2bo26bo2bo8b2o4bobo3bo6b3obo17b3o$913b2o47b2o45bo17b2o12bo3b2o4b2ob2o7bob3o8b2o2bo27bo10b3obob6obo4b2o21bobo$913b2o112b2o13b2ob2o4b3o21b2ob2o8b2o27b2ob2o3bobobo6bo13b2o8bobo$972b2o44b3o23bo6b3o8bob2o4b4o2bo10bo2bo26b2o11bobo4bo2b2o7b2ob2o17bo$923b2o47b2o63b2o13b2ob2o5bo2bo10bo10bo2bo28bo10b2o2bob2o4bo2bob2o21b3o$923b2o104bo7b2o14bobo6bo9bo3bo3b2o3bo2b2o9bo27b2o5bo3bobobo5bo12bo8bobo$982b2o45bo24bo7bo2bo6bo10b3o11b2obo27bobo9bo6bob2obo6b2obo$933b2o47b2o45bo17b2o13bo2bo7b3o5bo2bobo6b2o3b2o29bo8bob2obo3b3o2bo2bo2bo3b2o16b3o$933b2o112b2o14bobo7b2o7b3obo3b2o7bo8bobo27bobo3b2o4b3obobobo3b2o16bo2bo$992b2o44b3o23bo8b2o8b3o5b5o7bo4bo29b3o9bo2b5ob2obo4bo2b3o$943b2o47b2o63b2o13bo2bo8bo6bo4bo3bo3bo3b3o37bobo2b3o3bo2bobobo2b2obo18bo$943b2o104bo7b2o14bobo16bo3bo3bo3bo14b2o27b3o5bo4bo2bo4b2obo7bo8b2ob2o$1002b2o45bo24bo8b2o8b3o5bo10b2o4b3o28bo10bobob3o2bo2bo8bo2bo7b2o$953b2o47b2o45bo17b2o14bobo16b2ob2o3b4o5bo37bo2bo6b2o3b3ob3o2bobo5b2obo8bo$953b2o112b2o14b3o16b5o4b3o8bo6bo28b3o2bo3b2o4b2ob4o12b2o6bobo$1012b2o44b3o32bo19bo5bo3bo5b2o36b2obobo4bo3bo9b3o5b2ob2o$963b2o47b2o63b2o14b2o17b2ob2o2bo2bo6bo38b3obobo3bo3b2ob2o5b2o5b2obo$963b2o104bo7b2o15b2o17bo2bo4b2o7b3o6bo29bo4bo2bo5bo3b3o12bo7b3o$1022b2o45bo53bobo3b4o5bobo37bo2bo8bo11bo7bobo$973b2o47b2o45bo17b2o13b3o13bo4bobo4b3o8bo36b3o2bo4b4o2b2o2bo3bo7bobo$973b2o112b2o15bo2bo11bo3b3o12bo44bobobo2b2ob3obo2bobo7b2o9bo$1032b2o44b3o25bo6bo10b2o7bobo3bob2o5b3o37b3o2bo2b2o2bo8b3o8b3o$983b2o47b2o63b2o14bo3bo6b2ob2o4b3o4bo2bo5b2o38bo3b3ob2obo3bo3bobobo7bobo$983b2o104bo7b2o14bo3bo7bo3bo4bo14b2o8bo34b2obo3bo2b2o2bob3o$1042b2o45bo25b2o7b2o3bo12bo2bo3b3o7bo38bobo2bo2bo12bobo8b3o$993b2o47b2o45bo17b2o14b4o7b2ob2o4b3o6b2o5bo39bo4b2o2bobo7bobobo7bo2bo$993b2o112b2o15bob2o7b2o2bo12b2o6bo8bo34bo3b3o2b3o2bo2b2o$1052b2o44b3o24bo7bo3b3o13b2o4bo2bo5bobo37b3o4bo3bo10bo10bo$1003b2o47b2o63b2o14bo2b2o7bob2o5b2o4bo2bo50b2o12bobob2o6b3o$1003b2o104bo7b2o15bobo6bob2o2bo13bo6bo42bo4b3o2b2o3b2obo9b3o$1062b2o45bo25bo7bo4b2o13b3o4b3o5b3o38bo4b2o3bo10bob2o7bo$1013b2o47b2o45bo17b2o15b3o8bobo12b3o5b3o41bobo4bobo5bo2bobo7bobo$1013b2o112b2o15b3o6b4ob2o6bo6bo3b3o43bo4b3o3bo3b2o9bo3bo$1072b2o44b3o32bo4b2o6bo5bo2b3o11bo43b2o4bobo10bo$1023b2o47b2o63b2o15b3o17bobobob4o4b3o41bobo2bobobo8b3o7b3o$1023b2o104bo7b2o16bo7b2obobo8b3o7bo44bo6b2o5b3o2bo8b3o$1082b2o45bo33bo2b3obo6b6o3bo56b5obobo7bo2bo$1033b2o47b2o45bo17b2o15b3o9bobob2o2bobo3b2obo4b3o41bobo2bob2o10bo9bo$1033b2o112b2o24b2o3b3o2b3ob4obobo4bo42bo3bo3bo6bo3bo8b3o$1092b2o44b3o33b3obob6o5b6ob2o9bo33bo9b2ob2ob2o8bo$1043b2o47b2o63b2o16bo6bo3bo7bob5obo6bo35bo5bo2bo2bob2o8b3o2bo$1043b2o104bo7b2o24bo2b4obo10bobo3bobo41bo2b2o8bo2b2obo2bo5b3o$1102b2o45bo34b3o3bo2b2o6bo2b3o46b3o5bobo3b3o9bo2bo$1053b2o47b2o45bo17b2o21bo2b2obobo2bo5b2o2bobo4b3o34bo6b2o3bo7bo3bo2b2o$1053b2o112b2o24b2ob2o6bo3b2obo2bo47b2o6b2o3bo2b2o2b3o6bo$1112b2o44b3o34bo3b3o4bob2o5bo2bo2bo42b3o6bob2o2bobobo6b3o$1063b2o47b2o63b2o24b2obo2b3o3b2o4bo7bo42b2ob2o3b5o4b2o2bo$1063b2o104bo7b2o25b3o3b2o2b2obobob4o3b3o42bob2o4bob3o3bo4bo$1122b2o45bo38bobo3bo4b2o2b2o3b2obo42b2o7bobo3bobobo6b3o$1073b2o47b2o45bo17b2o24b2obo3bo4bo4b2o51bobo4b3o7bo2bo$1073b2o112b2o26bobo3bo3bobobobob2o3b3o42bobo8b2o3bo2b2o$1132b2o44b3o40bo2bobob2o4bo2bo3bo42b2o8b2o3bob3o7bo$1083b2o47b2o63b2o19b2o4bob3o12bo51bo6bo9b3o$1083b2o104bo7b2o25bo4b2o3bobo4bobo5b2o42bobo9bo3bo2b2o$1142b2o45bo39b3o4bob3o2b2o2b2obo43b2o8b2o3bo4bo$1093b2o47b2o45bo17b2o19b2o4b3o2bob2obo2b3obo51bo6b2o8b3o$1093b2o112b2o25bo5b5ob4ob3o5bo44b2o9bo3bo2bo$1152b2o44b3o37bo7bo3bo2bo4bob2o42b2o7b3o3bo3bo$1103b2o47b2o63b2o20bo3b3o5bo2bo2b2o61b5o6bo$1103b2o104bo7b2o20bo7bob2o2b2o7bo51b2o6b2obo4b3o$1162b2o45bo41bo3b2o2b2ob2o4b3o43b2o8b2o3b2o2bo$1113b2o47b2o45bo17b2o19bob4ob2o4bobo4bob2o59b3o$1113b2o112b2o20bob2o4b3o2b2o2bo2b2obo51b2o9bo4b3o$1172b2o44b3o33b2o2b2o3bo6bobo5b2o44b2o8b2o4bo2bo$1123b2o47b2o63b2o19b3ob2ob2o4bobo3bo2b2o58bob2o$1123b2o104bo7b2o23bo2bo2bo3bo2bo4bo53b2o8b2o5bo$1182b2o45bo34b2o2b2o3bobo4bob2o50b2o8b2o4b3o$1133b2o47b2o45bo17b2o20bo2b2o7bo5b4o59bob2o$1133b2o112b2o22bo2b2obo4bo3bob3obo51b2o8bo$1192b2o44b3o33b2obob4o2b4o3bo51b2o8b2o4b3o$1143b2o47b2o63b2o21b3o2bo2bobobo4bo3bo4bo43bo9bo2bo$1143b2o104bo7b2o25b2ob3o6bob3o2bo2bo47b2o8bo$1202b2o45bo35bobo2b3o3bo6bo47bo2bo7bobo6bo$1153b2o47b2o45bo17b2o22bo3bo3bobo14bo31bo11bo3bo4b2ob2o$1153b2o112b2o26b4o2bo4b3ob3o2bobo41bob5o6b2o$1212b2o44b3o34bo4b3o3b3o2b3o43bo3b2o9bobo6bo$1163b2o47b2o63b2o29bo2bo7bo37bobo13b2o5bobo$1163b2o104bo7b2o26b3obobo5bo2bo4b3o41b4o2b2o2b2ob2o$1222b2o45bo35bo5b2o3b2o3b3o2b2o39b3obo7b2obo8bo$1173b2o47b2o45bo17b2o27bo2bobo2b2o2b2o37b2o11bo2bobo4bobo4b2o$1173b2o112b2o25b3obo2bob3o2b2o5b2o43b3o2bo3bo2bo$1232b2o44b3o39bob3o3b2o2b2o2bobo38b2o6bo4bobo14bo$1183b2o47b2o63b2o25b2obobob2ob2o3bo6bo30b2o11b2o8b3o5bo$1183b2o104bo7b2o25b2o3bobo2bo4bo6bo44b2ob3o3b3o4bo$1242b2o45bo41bo6bo3b2o2b3o38b2o11bo16bo$1193b2o47b2o45bo17b2o24b2o3bo3b2o3b2o6b2o30b2o12bo3bo5bo4bobo$1193b2o112b2o26b2o3bo3bobobo8bo43bo3bo4b3o5bo$1252b2o44b3o39bo3b5o3b2o43b2o3bo2bo8bo$1203b2o47b2o63b2o23bob4o4bo2bob2o7bo30b2o12b3o12b3o$1203b2o104bo7b2o31b2o6bo4bob2o45b4o4b3o3b3o$1262b2o45bo40b5o2bo5bob2o10bo29b2o4b2o6bo2b3o$1213b2o47b2o45bo17b2o23bobob2o5bobob2o8bo29b2o12bo3bo5bo3bob2o$1213b2o112b2o31b2o3bo2bo5b2o46bob2o5bo3bo2bo$1272b2o44b3o38bo2b6o5b3o12bo28b2o4bo7bo$1223b2o47b2o63b2o27bo10b2o6b2obo28b2o13b2ob2o5b2o3bo$1223b2o104bo7b2o23bo7b2o2bo3bo53b3o6b8o$1282b2o45bo39bo2bo2b3o5b2o13bo28b2o12bo3bobo$1233b2o47b2o45bo17b2o21bo2bo10b2ob2o7b3o28b2o13b2obo2bo4bo$1233b2o112b2o31b2o2b2ob2o5bob2o45b2o6b2obob3o$1292b2o44b3o30bobo5bobo4bo7bo2bo9bobo27b2o12bo3bobobo$1243b2o47b2o63b2o21bobo11b2ob2o7bo2bo22b2o3b2o13b2obo$1243b2o104bo7b2o22b3o6bo4bobo6b3o47bo2bo4b3o2bo$1302b2o45bo32b2o5bob2o3bo7bo2bo9b2o24bo3b2o10b2ob2obob2o$1253b2o47b2o45bo17b2o21bo14bobo2bo2bo3b3o22bo4b2o14b3o2b2o6bo$1253b2o112b2o23bo6bo5b3o2bo3bobo26bo23b3o3bo3bo$1312b2o44b3o31b2o5bob2o12bobo3bo6bo24b2o2b2o10bobob2o3bo$1263b2o47b2o63b2o21b2o8bo4b2o2bo2bo4b2o23bo4b2o15b2o2bo$1263b2o104bo7b2o23bo6bo6bo4b3o2bo2bo23b2o22b2o3bo2b3o$1322b2o45bo32bo6bobobo3bo3b3obob5o31b2o2b2o11bo2b5o$1273b2o47b2o45bo17b2o14bo6b2o10b2obo3bo2bo4b3o23b2o2b2o11bo7bo$1273b2o112b2o23bo6b2o3bo7bo3bo26bo9bo13bo8bo$1332b2o44b3o31bo6b3ob3obo4bo2bobo2bo34bob2o9bo2b3ob3o$1283b2o47b2o63b2o14b2obo8b3o4bo3b2ob3o5b2o23bobo3bo3bo7b4o4bo$1283b2o104bo7b2o23b4ob3ob2o3b2o2b3o3bob2o23bo12bo6bob3o$1342b2o45bo32b7o2b5obob2o4bob2obo31bobo2bobobob4o8b3o$1293b2o47b2o45bo17b2o17bo12b3o3bo3bobo5bo24bobo3bo3b3o2b2ob6o2bo$1293b2o112b2o22b2obo2b2o2b2o5bo3bo3bob2o23bo13b3obo3b3o$1352b2o44b3o32bob3o7bob3o2bo3bo3bo31b3o2b3obo14b2o$1303b2o47b2o63b2o23bob2obobob4o4bobo5b2o23b3o7b3o5bo2b2ob2o$1303b2o104bo7b2o23bob2ob2o3bo3bo2b3o4bo36bo2b6obo3bo$1362b2o45bo32bo3bo12b3o4bo2b2o32bo7bob2o8bo2bo$1313b2o47b2o45bo17b2o26b3o4bob2o5bo6bo24bo9b2o8bo2b2o$1313b2o112b2o22b3ob3obo3bob2o3bo6b2o24bo5bo9b3obo4bo$1372b2o44b3o42b2o4b2o5b2ob2o25b2o6b5obo2b2o9b2o$1323b2o47b2o63b2o21bob2ob2o3bo2bo3bo3bo7bo23b7o3bo6bo2b4o$1323b2o104bo7b2o22b2o3b2o2b2obob4obo6b2o24bob4o11bo2bo3b2o$1382b2o45bo40b2o2bo3b2o7bo3bo38bo3bob3o$1333b2o47b2o45bo17b2o22b2o3b2o3bob2o2bob2o9bo22b7o4b3ob2o3b4o$1333b2o112b2o23bo3b2o3bob4ob3o7bobo22bo10b3ob3o2bo3bo$1392b2o44b3o40bo15b2o9bo26b2ob2o4b2ob2o$1343b2o47b2o63b2o22bo4b2o4b2o3bob3o7bo22bo2bo2bo10bo4b2o$1343b2o104bo7b2o23bo3bo4b3ob2o11b3o21bobo10bo4bob2ob2o$1402b2o45bo33bo7bo4bobo8bo2bo7bo25b2obobo5b3o$1353b2o47b2o45bo17b2o23b6o8bo3b2o5bobo22b3o3bo9b2o$1353b2o112b2o23b3o6b4o3bo10bo22b2o11b3obo3b4o$1412b2o44b3o40bo4b2o8bo3bo34bob3o2b2obo2bo$1363b2o47b2o63b2o23b3ob2o8bobobo6b3o22b2o8b2o4bo$1363b2o104bo7b2o24bo7b2obobo3bo6b3o23bo9b5obo4bo$1422b2o45bo41bo2b5o6b2o36bobo2b2o2b2ob3o$1373b2o47b2o45bo17b2o23b3o13b3o7bo23b2o9bo2b3o$1373b2o112b2o32b2obobob2o7b3o24bo9b2o3bo3bobo$1432b2o44b3o40b2ob2obo8bo4bo31bo5bo3bo2bo$1383b2o47b2o63b2o24bo11b2ob2obo31bobo2bo4bo2b2obo6bobo$1383b2o104bo7b2o32b2obob3o8b3o23bo10b2o3bo3bobo$1442b2o45bo42bobo13bobobo32bob2o4b2o4bo$1393b2o47b2o45bo17b2o24bo7bo3b2obo3bo30b6o5b3o2bo6b2o$1393b2o112b2o33bobo2bo8bobo24bo11bob2o7b3o$1452b2o44b3o41b3o4bo2bo2bo2b2o2bo22b2o10b2o3b3o2b2o$1403b2o47b2o63b2o31bo2bo4bob3o30b3o8bobo2bo6b2o$1403b2o104bo7b2o33b3ob2o2b2o6bo4bo20bo2bo9b2o4bo3bo$1462b2o45bo43bo6b3o2b4o2bo3bo19b2o7bo8bo4bo$1413b2o47b2o45bo17b2o31bo4b2obo2bo32bo2bo5bo2bo2bo6bo$1413b2o112b2o32bob2ob2o3bo5bo26bo2bo7bob2o5b4o$1472b2o44b3o42bo7b2o5b2o2b3o20b2o7b3o6b3o2bo$1423b2o47b2o63b2o24bo6bo3b3o4b5o28bobo6bo2bo2bo$1423b2o104bo7b2o31bo5b2o5b5o27b2o8bob2o6b3o$1482b2o45bo42b2o8bo2bo2bo26b2o7b2o7b2o3bo$1433b2o47b2o45bo17b2o25bo4bob2ob3ob2ob5o37bo3b2o$1433b2o112b2o31bob2o4b4o4bo28b2o8bob2o7bo$1492b2o44b3o42bobo3b3o5b2o27bo7b2o8b2ob2o$1443b2o47b2o63b2o25bo4b3o3b4o36bo5b2ob2ob2o12bo$1443b2o104bo7b2o34b2o5b7o28b3o7bo9bo5bo6b2obo$1502b2o45bo43b3o2bo2bob3obo37bo2bo3bo2bobo$1453b2o47b2o45bo17b2o29bo8b2o36b2o4bo3bob2o6bo6bo$1453b2o112b2o31b2ob2o3bo6b2o29b2o4bo2bobo7bo4b2o9bo$1512b2o44b3o43bo3b7o2bo38bobo3b2obobo9b5o$1463b2o47b2o63b2o26bo3bobobo3bo38b2o3bo3b3o7b8o$1463b2o104bo7b2o31b2obo4bo2b2o3bo29bo5b2o3bo7bob2o$1522b2o45bo44bo4bo5b2o3bo35bo5b2obo8bo5b3o$1473b2o47b2o45bo17b2o26bo3bo2bob2obo38b3o3b2o2bo9b4o$1473b2o112b2o27bo3b2o2b3obo2bo40b2o2bobo6bo7bo$1532b2o44b3o44b3o3b2o2b3o2b2o25b2o13bo2bo7bo7bo$1483b2o47b2o63b2o27b4ob2o2bo3bo36b2o4b2obobobo5bo4b3o$1483b2o104bo7b2o28b2obo4bo2b4o35bobo3bo7bo4b4obobo$1542b2o45bo45bo3bobo4b2o2bo26b2o5bo2bo4bo3b4obobo$1493b2o47b2o45bo17b2o27bob2obo3b2o3b2o37bo3bobo3b4ob2o4b3o$1493b2o112b2o28bo3bo3bobo2b2o4bo2bo26b2obo3bobo5bob2obo2bo3bo$1552b2o44b3o45b3o7bo3bo27bo5b3o7bobob2o3bo$1503b2o47b2o63b2o27b3o3bo2b2o4bo34b2obo3bobo4b3ob2o5bo$1503b2o104bo7b2o31b2o3bo5bo5b2o28b3o3b2o9bobo3b3o$1562b2o45bo46b2o3b2o3b4o35bo10bo2b5o$1513b2o47b2o45bo17b2o28bobob2o3bo2b2o35b2obo3bobob2o5bo$1513b2o31bo80b2o31bo4bo2b4o5bo30b2o3b2ob3o5b2o4b3o$1546bo25b2o44b3o45b4obo5b2o37b2o7b2o2bo3bo$1523b2o47b2o63b2o30bo2bo3bo2b2o36bobo3bobo2bo5bo$1523b2o31bo72bo7b2o30bobo4b2o2bo6bo30b2o3b2o2bo3bo3bo5bo$1555bobo24b2o45bo46b2o3bo4bobo38bo7bo4b3o$1533b2o47b2o45bo17b2o30b3o7bo2bo34bobo3bobo3b5o$1533b2o31bo80b2o31b2o4b2ob2o37b2o3b2o3b2o3b2o$1565bobo24b2o44b3o46b3o6b3o3bo34b2o5b2o4b3o$1543b2o20bobo24b2o63b2o30b2obo4b2o3bo35b2o3b2o4bo3bo$1543b2o31bo72bo7b2o32bo5bo2b2o37bo3bo4bo5bo$1575bobo24b2o45bo46bo2bob2o4bo40bo5bo6bo$1553b2o20bo2bo23b2o45bo17b2o29bob3o2bob2o2b3o34b3ob3o5b3o$1553b2o21bo90b2o36bo3bo18bo30b2ob2o$1585b3o24b2o44b3o46bo3bo5bo5bo34b2o3b2o6bo$1563b2o20b2o2bo22b2o63b2o28bob2ob2ob3o4bo5bo30b2ob2o6bobo$1563bo23bo81bo7b2o37bo2bob2o13b2o31bo3bo$1595b2o25b2o45bo47b3ob2obo9b5o30bo3bo$1573b2o21bobob2o20b2o45bo17b2o29b2o3bo2b3o4b3ob2o7b2o21b2ob2o6b3o$1573bo24bo7bo80b2o37bo5b2o46b3o$1575bo24b2o4bo25b2o44b3o46b2obobo12bo2bo8bo21bo3bo$1583b2o21b3ob2o20b2o63b2o30bo3b2o2b2o5b2ob2o7bo22b2ob2o7bo$1583bo2bo21bob2o77bo7b2o37b2o2bob2o2bo9bo33b3o$1584bobo21bobo4b3o6bo17b2o45bo48bobobo2b2o8b3o9bo21bo3bo$1593b2o25b2o20b2o45bo17b2o30bo3b2ob2o9b2o2b2o3bobo20b2ob2o$1594b3o21b3o86b2o38bob2ob2obo10bo33b3o$1595b2o7bo13bo7bo7b2o16b2o44b3o47b3ob2obo9b2o10bo21bo3bo$1603bo17bo2bob2o2b2obo18b2o63b2o35bo2b2o8bo3b2o3bobo12bo7b2ob2o$1603bo2bo18b3o2bob3obo72bo7b2o38b4o2b3ob2o2b2o3bo2bo12bo18bo$1605b2o19b2o2bob3obo4bo2bo17b2o45bo51bob3ob6ob3o4bo5bo21b2ob2o$1613b3o10b2o5b2ob2o3bo2b2o16b2o45bo17b2o39bobobo6bobo4bobo11b2o7b2ob2o$1611bo2b4o4b2o3b2o2bo8bo3b2o81b2o42b6obo2bo4bobo9bo3bo18bo$1627b2o7bo3b3o3bo5b2o18b2o44b3o46b2o2bo6b2obo2b2o4b2o5bo4bo17bobo$1622b4obo4bo3b2o3bobo2bo4b4o17b2o63b2o43bo2bo3b3o5b2o20b2ob2o$1626b2o9bo3bob2obo3bo4b2o72bo7b2o38bo3b2ob2obo8bobo10b4o$1621b2o9b2o3bo4b3o6b2o10bo18b2o45bo47bo2bo8b2o4bobo3bo6b3obo17b3o$1635b3o5b4o4bo5bo3b2obo17b2o45bo17b2o29bo10b3obob6obo4b2o21bobo$1631bo2bobo7bob2o4b2ob2o4bo3bo81b2o38b2ob2o3bobobo6bo13b2o8bobo$1643bo3bo4b2o7b3ob2o6bo18b2o44b3o46b2o11bobo4bo2b2o7b2ob2o17bo$1631b2o9b2ob2o18b2o5bobo17b2o63b2o30bo10b2o2bob2o4bo2bob2o21b3o$1642b3obo7b4o4b2o2bo4b2o2bo73bo7b2o38b2o5bo3bobobo5bo12bo8bobo$1642bo11b2o2bo3bo9b4o7bo18b2o45bo48bobo9bo6bob2obo6b2obo$1641b2o6bo3bobo19bo6bobo17b2o45bo17b2o30bo8bob2obo3b3o2bo2bo2bo3b2o16b3o$1646bo5b2o3bo14b2o2bo5bo2bo81b2o39bobo3b2o4b3obobobo3b2o16bo2bo$1648bo2bo5bo5b6o3bo4bo4b3o8bo18b2o44b3o47b3o9bo2b5ob2obo4bo2b3o$1656b4o5bob2o5bo10bo6bobo17b2o63b2o39bobo2b3o3bo2bobobo2b2obo18bo$1651b2o3b3o4bo3bo10bo3b4o6bo2bo73bo7b2o39b3o5bo4bo2bo4b2obo7bo8b2ob2o$1658bo3b5o2bo4bo2bo3bo2bobo6b2o8bo18b2o45bo49bo10bobob3o2bo2bo8bo2bo7b2o$1661b2o2b2o6b3obo7b3o5bo8bobo17b2o45bo17b2o38bo2bo6b2o3b3ob3o2bobo5b2obo8bo$1661b2o5b2o3b2o2bo7b3o4b3obo6b2o82b2o39b3o2bo3b2o4b2ob4o12b2o6bobo$1667bo7b2ob2o6b2o3bo4bo6b2o8bo18b2o44b3o56b2obobo4bo3bo9b3o5b2ob2o$1671b2o5b2o3b2o6bo2bob2o14bobo17b2o63b2o39b3obobo3bo3b2ob2o5b2o5b2obo$1671b2o3bobo5bo3bo14bobo7b2o74bo7b2o40bo4bo2bo5bo3b3o12bo7b3o$1677bo7b2obo3bo3bo5b2o2b2o15bo18b2o45bo58bo2bo8bo11bo7bobo$1681b2o3bobo5b4o3b3o10bo7bobo17b2o45bo17b2o39b3o2bo4b4o2b2o2bo3bo7bobo$1681b2o3b3o5bobobo3b2o2bo6bo2bo6b2o82b2o44bobobo2b2ob3obo2bobo7b2o9bo$1697bo4b3o7bo3bo16bo18b2o44b3o57b3o2bo2b2o2bo8b3o8b3o$1691b2o3bobo5b2obo4bo4bo14bobo17b2o63b2o40bo3b3ob2obo3bo3bobobo7bobo$1691b2o4bo8bobo3bo10b3o7b2o74bo7b2o45b2obo3bo2b2o2bob3o$1697bo7bo2bo4bob2o6b4o16bo18b2o45bo58bobo2bo2bo12bobo8b3o$1701b2o10bo8bo3bo15bobo17b2o45bo17b2o40bo4b2o2bobo7bobobo7bo2bo$1701b2o3b3o7b2o5b3obo6bo8b2o82b2o45bo3b3o2b3o2bo2b2o$1712bo3b3o4b3o7b3o17bo18b2o44b3o57b3o4bo3bo10bo10bo$1711bo4b2o14bo3b2o14bobo17b2o63b2o45b2o12bobob2o6b3o$1711bo5b2o4bo3bo5b2o18b2o74bo7b2o44bo4b3o2b2o3b2obo9b3o$1712bo9bo3b2o6bo3bo4b3o17bo18b2o45bo59bo4b2o3bo10bob2o7bo$1721bo6bo6bobo5bo2bo15bobo17b2o45bo17b2o43bobo4bobo5bo2bobo7bobo$1721bobobo17b2ob2o15b2o82b2o44bo4b3o3bo3b2o9bo3bo$1722bo4b2o3b6o7b3o6b2o17bo18b2o44b3o62b2o4bobo10bo$1731bob3o2bo7b2o5b2o17bobo17b2o63b2o43bobo2bobobo8b3o7b3o$1731b3ob3o16bob2o15b2o74bo7b2o43bo6b2o5b3o2bo8b3o$1737b2o4bo2b2o8b2o6bo18bo18b2o45bo63b5obobo7bo2bo$1742b2ob2o17b2o16bobo17b2o45bo17b2o43bobo2bob2o10bo9bo$1741b2o3bob2o7bo6bobo16b2o82b2o43bo3bo3bo6bo3bo8b3o$1754bo2bo8b2o5b2o18bo18b2o44b3o52bo9b2ob2ob2o8bo$1747bo4b2o2bo6bo2bo4bo3bo16bobo17b2o63b2o36bo5bo2bo2bob2o8b3o2bo$1752bo3bobo6b2o9bo16b2o74bo7b2o43bo2b2o8bo2b2obo2bo5b3o$1749bo2bo4b3o4b2obo6b3o6b2o18bo18b2o45bo53b3o5bobo3b3o9bo2bo$1758bobobo3bo4b2o3bo5bob3o15bobo17b2o45bo17b2o36bo6b2o3bo7bo3bo2b2o$1759b4o3bobo5b2o5b3o19b2o82b2o43b2o6b2o3bo2b2o2b3o6bo$1760b2o5b2o8bo3b2ob2o7bo19bo18b2o44b3o53b3o6bob2o2bobobo6b3o$1770bo2bo2b2o4bobob2o4bob2o16bobo17b2o63b2o43b2ob2o3b5o4b2o2bo$1769b4o3bob2o3b2o7bo2b2o16b2o74bo7b2o44bob2o4bob3o3bo4bo$1777bo4b2o7bo3b2o26bo18b2o45bo54b2o7bobo3bobobo6b3o$1782b2o2b3obo2bo3b2o3b3o17bobo17b2o45bo17b2o44bobo4b3o7bo2bo$1779b3o4bo6bo8bob2o17b2o82b2o44bobo8b2o3bo2b2o$1780bo7bo3b2o9bobobo25bo18b2o44b3o53b2o8b2o3bob3o7bo$1780bo7bo3bo4b2obob2o4bo3b2o18bobo17b2o63b2o44bo6bo9b3o$1796b2ob3obo4bo3bob2o17b2o74bo7b2o44bobo9bo3bo2b2o$1789b3o6bobobo12bo27bo18b2o45bo54b2o8b2o3bo4bo$1798bobobo2bobo5bo2b3o3b2o18bobo17b2o45bo17b2o44bo6b2o8b3o$1799b3o4b2ob3ob4obo3bobo18b2o82b2o45b2o9bo3bo2bo$1800bo7bo3bo2b2o7b2o27bo18b2o44b3o53b2o7b3o3bo3bo$1808bo3bo3b2o5b2o2b2o3b2o18bobo17b2o63b2o51b5o6bo$1809b3o5bo5bo2bobo3bobo18b2o74bo7b2o45b2o6b2obo4b3o$1818b5o3bo7bo28bo18b2o45bo54b2o8b2o3b2o2bo$1819b3o4bo3bo3bo3bo3bo19bobo17b2o45bo17b2o52b3o$1820bo6bo5bo3b2o3b2o19b2o82b2o45b2o9bo4b3o$1828bo3bo3b2o5b2o28bo18b2o44b3o53b2o8b2o4bo2bo$1829b3o5b2o3b2o28bobo17b2o63b2o51bob2o$1838b5o4b3ob3o19b2o74bo7b2o45b2o8b2o5bo$1839b3o5bo5bo29bo18b2o45bo54b2o8b2o4b3o$1840bo6bo5bo28bobo17b2o45bo17b2o51bob2o$1848bo3bo5b2ob2o20b2o82b2o45b2o8bo$1849b3o5b2o3b2o29bo18b2o44b3o53b2o8b2o4b3o$1858b2ob2o29bobo17b2o63b2o41bo9bo2bo$1859b3o6b2ob2o20b2o74bo7b2o45b2o8bo$1860bo7bo3bo30bo18b2o45bo51bo2bo7bobo6bo$1868bo3bo29bobo17b2o45bo17b2o29bo11bo3bo4b2ob2o$1869bobo6b2ob2o20b2o82b2o40bob5o6b2o$1870bo7bo3bo30bo18b2o39bo4b3o10b2o34bo3b2o9bobo6bo$1879b3o30bobo17b2o39bo23b2o28bobo13b2o5bobo$1879b3o6b2ob2o20b2o74bo7b2o40b4o2b2o2b2ob2o$1888bo3bo30bo18b2o39b2o4bo11bo35b3obo7b2obo8bo$1889b3o30bobo17b2o38bo6bo11b2o4bo29b2o11bo2bobo4bobo4b2o$1890bo7b2ob2o20b2o68bo5bob2o4b2obo39b3o2bo3bo2bo$1898bo3bo30bo18b2o36bo2bo5b3o9bo35b2o6bo4bobo14bo$1899b3o30bobo17b2o37bobo6b2o10bo34b2o11b2o8b3o5bo$1908b2ob2o20b2o66b2o5bo2bo4b3obo40b2ob3o3b3o4bo$1908b2ob2o30bo18b2o37b3o5b3o6b2obo35b2o11bo16bo$1910bo31bobo17b2o37b2o15b2o2bo3b2o29b2o12bo3bo5bo4bobo$1918b2ob2o20b2o5bo61bo6b3o7b2o40bo3bo4b3o5bo$1919bobo30b2o18b2o37b2o7bo6bo3bo35b2o3bo2bo8bo$1920bo8bobo16bo5bo17b2o38bo16bo2bo3b2o29b2o12b3o12b3o$1929bobo21b2o5b2o60bo6b3o5b3o42b4o4b3o3b3o$1929b3o17bo10b4o18b2o37bobo10bo2bo2b2o5bo29b2o4b2o6bo2b3o$1938bo2bo16b2o4bo17b2o25b2o9bo18b2o6bo29b2o12bo3bo5bo3bob2o$1939b3o16b2obobo7bo51bo16b2ob2o2b3o42bob2o5bo3bo2bo$1940bo7bo10bobobo6b4o18b2o25bo2bo8b3o16bo7bo28b2o4bo7bo$1948bo2bo7bo9bo4bo17b2o37b2o12bo2bob2o4bobo28b2o13b2ob2o5b2o3bo$1949b3o6b3o7b2ob3obo43b2o10bobo8bobo6b3o48b3o6b8o$1958b3o8bobobo6b3o19b2o26b3o20b2o2bob2o7bo28b2o12bo3bobo$1960b2o7bo4bo4bo3b2o17b2o25b2o10b2o10b2o6bo4b3o28b2o13b2obo2bo4bo$1959b2o6bobo9b5obo43b2o10b2o9b3o2bo4bobo2bo45b2o6b2obob3o$1970bo8bo5bo5b2o19b2o29bo8bo4bo3bobo3bo9bobo27b2o12bo3bobobo$1967bo2bo12bo6b2obo18b2o25b2o10b2o10bo4b4o4bo2bo22b2o3b2o13b2obo$1969b2o6b3o4bo4b2o2bobo43b2o11bobobo6bo3b5o2b3o47bo2bo4b3o2bo$1977b3o14b2o5b2o19b2o30bobo4bo2bo6bo2b2obo9b2o24bo3b2o10b2ob2obob2o$1978bobo7bo4b2o6bobo18b2o25b2o10bo6bo5b2obo2bo2bo3b3o22bo4b2o14b3o2b2o6bo$1979b2o7bo6bo4bo2bo45b2o11bo2bobo3bo2b2o3b3o2bobo26bo23b3o3bo3bo$1988bo10b2obob3o5bo19b2o29bobo5bo2bob2o7bobo3bo6bo24b2o2b2o10bobob2o3bo$1988bo2bo7b2o3bo6b2o19b2o25b2o11b2o2b3obo4bobo4bo4b2o23bo4b2o15b2o2bo$1989b2o8b3o3b2o4bobo45b2o11b4o6bo2bob3ob3o2bo2bo23b2o22b2o3bo2b3o$1998bob2o8bobo2b2o25b2o31bo5bo2bo2b3o2b2obob5o31b2o2b2o11bo2b5o$1999b2o8b2o4b2o4b3o18b2o25b2o11b2o6bob2obo3bo2bo4b3o23b2o2b2o11bo7bo$1999bo8bo3bo2bo5bo47bo14b3o3bobo2bo2bo3bo3bo26bo9bo13bo8bo$2011bo10bo2b2o25b2o27bo10bo2b3obo2bo2bobo2bo34bob2o9bo2b3ob3o$2008b3o9b2o3b2o5b2o18b2o24bobo14b2o3bobo3b2ob3o5b2o23bobo3bo3bo7b4o4bo$2018b2ob2o8b2o46bo12b2ob2o4b2o3b2o2b3o3bob2o23bo12bo6bob3o$2018b3o3bo7bo2b2obo23b2o24bobo9bo5bo3bo4bob2obo31bobo2bobobob4o8b3o$2019bo11bo4bobo3b2o18b2o24bobo11bo2bo4b2o3bo3bobo5bo24bobo3bo3b3o2b2ob6o2bo$2029bobobo8bobo44bo13bo2bo4b2o5bo3bo3bob2o23bo13b3obo3b3o$2028b3o4bo6bo3b2o24b2o24b2o2bo3bo2bo5bob3o2bo3bo3bo31b3o2b3obo14b2o$2035bo4bobo3b3o3b2o18b2o24b3o10b2o3bob2ob4o4bobo5b2o23b3o7b3o5bo2b2ob2o$2039bo12bobo52bo2b3o3b3o3bo3bo2b3o4bo36bo2b6obo3bo$2038bo3bob3o7bo2bo23bo2bo24bob2o5bo10b3o4bo2b2o32bo7bob2o8bo2bo$2039bobo10b5obo3bo19b2o25bo7b2o6b3o4bob2o5bo6bo24bo9b2o8bo2b2o$2049b4o2bo3bo2b2o27bo2bo13bo8b2ob4o5bo3bob2o3bo6b2o24bo5bo9b3obo4bo$2049b3o3bo7b2o26bo2bo24bo8bo4b2o4b2o5b2ob2o25b2o6b5obo2b2o9b2o$2049b2o4bo7bo2b3o23b2o25bo5bo2bobob2ob2o3bo2bo3bo3bo7bo23b7o3bo6bo2b4o$2062bo3b3o2b3o27b2obo10bob2o6bo2bo2b2o3b2o2b2obob4obo6b2o24bob4o11bo2bo3b2o$2058b4o3bo2bo4bo27b4o23b2o6b2o2b2o2bo3b2o7bo3bo38bo3bob3o$2065b7obo3bo49b2o6b3o3b2o3b2o3bob2o2bob2o9bo22b7o4b3ob2o3b4o$2067b6o3b3o2b2o28b2ob2o7bob3o7bo2bo3bo3b2o3bob4ob3o7bobo22bo10b3ob3o2bo3bo$2075bo6b2o28b2o10b2o12bo12bo15b2o9bo26b2ob2o4b2ob2o$2075bo2bo2b2o5bo33bob2o11b2o7bo4bo4b2o4b2o3bob3o7bo22bo2bo2bo10bo4b2o$2076bob2obo4b2o3b2o29bobo7bo3bo8b3o4bo3bo4b3ob2o11b3o21bobo10bo4bob2ob2o$2085bobo4bo29b2o8bob2o9bob2o4bo7bo4bobo8bo2bo7bo25b2obobo5b3o$2085b4o3bo5bo35bo9b2obo14b6o8bo3b2o5bobo22b3o3bo9b2o$2088bo2bo5bobob2o29b2o8b3obo8b3o4b3o6b4o3bo10bo22b2o11b3obo3b4o$2090bo3b2obo4bo29b2o8b3o9bo2bo13bo4b2o8bo3bo34bob3o2b2obo2bo$2096bob4o55bo14b3ob2o8bobobo6b3o22b2o8b2o4bo$2099b3o3bob3ob2o29b2o9bob2o9bo6bo7b2obobo3bo6b3o23bo9b5obo4bo$2105bob2o3bo29b2o8b2o11b3o13bo2b5o6b2o36bobo2b2o2b2ob3o$2105bo3b3o52b2obo14b3o13b3o7bo23b2o9bo2b3o$2110bo7b2ob2o29b2o9bobo25b2obobob2o7b3o24bo9b2o3bo3bobo$2114b3obo3bo29b2o9b2o10b3o13b2ob2obo8bo4bo31bo5bo3bo2bo$2119b3o41bo10bo2bo15bo11b2ob2obo31bobo2bo4bo2b2obo6bobo$2125bo2b2ob2o29b2obo7bo27b2obob3o8b3o23bo10b2o3bo3bobo$2125bo2b2ob2o30bobo8b2o10b2o14bobo13bobobo32bob2o4b2o4bo$2125bo4bo42bo10b2obo15bo7bo3b2obo3bo30b6o5b3o2bo6b2o$2138b2ob2o30b3o8b2o26bobo2bo8bobo24bo11bob2o7b3o$2134b3o2bobo31bobo8b2o10b2o14b3o4bo2bo2bo2b2o2bo22b2o10b2o3b3o2b2o$2140bo8bobo6bo36bobo22bo2bo4bob3o30b3o8bobo2bo6b2o$2145bo3bobo6bo23bob2o8b2o26b3ob2o2b2o6bo4bo20bo2bo9b2o4bo3bo$2145bo3b3o31bobo10bo9b2o15bo6b3o2b4o2bo3bo19b2o7bo8bo4bo$2145bo13bobo6b2o23bo11bo2bo21bo4b2obo2bo32bo2bo5bo2bo2bo6bo$2159b3o5bo24bo3bo8bo25bob2ob2o3bo5bo26bo2bo7bob2o5b4o$2154b3o3bo31bob2o9b2o26bo7b2o5b2o2b3o20b2o7b3o6b3o2bo$2168bo2bo6b2o24b2o9b4o14bo6bo3b3o4b5o28bobo6bo2bo2bo$2165bo3b3o6b2o22b2ob2o9b2obo20bo5b2o5b5o27b2o8bob2o6b3o$2165bo12b3o7bo13bobo19bo17b2o8bo2bo2bo26b2o7b2o7b2o3bo$2165bo13b2o7bo20bo4b2o11b2o15bo4bob2ob3ob2ob5o37bo3b2o$2180bo8bo5bo15bobobo8bob2obob2o17bob2o4b4o4bo28b2o8bob2o7bo$2174b3o4bo7bo7bo14bo2bo2bo10b6o18bobo3b3o5b2o27bo7b2o8b2ob2o$2189bo8b2o20b2o3b7obo3b2o15bo4b3o3b4o36bo5b2ob2ob2o12bo$2185bo4bo10b2o2bo6bo5bo4bob2ob2ob2obo2bobo23b2o5b7o28b3o7bo9bo5bo6b2obo$2185bo5bo4bo3b8o14b2o7b3obo3b5obo17b3o2bo2bob3obo37bo2bo3bo2bobo$2185bo6bo6b3o2b3obo5bo8b2o4b3ob6o4bo3b2o19bo8b2o36b2o4bo3bob2o6bo6bo$2202b2o2bob2o5bo6b3o8bo11bob2o21b2ob2o3bo6b2o29b2o4bo2bobo7bo4b2o9bo$2194b3o5b3ob9o2b2o4bo4b2o3bo4bob3o2bo3bo5bo18bo3b7o2bo38bobo3b2obobo9b5o$2202b2obo10bo3b5o8b2o8b2ob3ob8o17bo3bobobo3bo38b2o3bo3b3o7b8o$2204b2obo5bo2bo2b4o2bo5b2o2bo3bo3bo4bob2obobob2o21b2obo4bo2b2o3bo29bo5b2o3bo7bob2o$2204b2o6b2o3b2o4b2o3b2o8bo5b7o2bo5bo24bo4bo5b2o3bo35bo5b2obo8bo5b3o$2213bo3bo6bobob3ob2o4bo5b3o8b4o3bob3o18bo3bo2bob2obo38b3o3b2o2bo9b4o$2214b4o5b4o2bo2bob2o5b2o6b5o4bob2obobob2o17bo3b2o2b3obo2bo40b2o2bobo6bo7bo$2215bo7bo3bo6b2o2bo2bo7b4ob3o2bo3bo4bo26b3o3b2o2b3o2b2o25b2o13bo2bo7bo7bo$2223bo2b2o8b3ob3o5bo2bo3bo2bo4b6o3b2ob2o19b4ob2o2bo3bo36b2o4b2obobobo5bo4b3o$2224b3o6bo2bo5bob2o3bobo10b2o7bo3bobo19b2obo4bo2b4o35bobo3bo7bo4b4obobo$2233b2o2b2o3bobo6bo7b3o3b3o2b2obo3b2o26bo3bobo4b2o2bo26b2o5bo2bo4bo3b4obobo$2234b3o10b2o2b2o2bo3bo5bo3b2ob6o4b2ob2o19bob2obo3b2o3b2o37bo3bobo3b4ob2o4b3o$2235bo10b2obo4bo4b2o8b3o9bobobobo19bo3bo3bobo2b2o4bo2bo26b2obo3bobo5bob2obo2bo3bo$2242b3o2bo5b2o5b2o3bo4bo4b3o3bob2o2bo28b3o7bo3bo27bo5b3o7bobob2o3bo$2244b3o5b2o4bo2bo13bo2bobobo2b3o4b2ob2o19b3o3bo2b2o4bo34b2obo3bobo4b3ob2o5bo$2252b2o3b3o3b3o2b2o6bo3b2o10b2ob2o23b2o3bo5bo5b2o28b3o3b2o9bobo3b3o$2253bobobo12b2o13b3o3bo5bo28b2o3b2o3b4o35bo10bo2b5o$2256bo5bo5b2o2bob2o3bo6bobobobo2b3o5bobo21bobob2o3bo2b2o35b2obo3bobob2o5bo$2255bo6b2o4b2o9bo7b2ob2o2bo7b5o23bo4bo2b4o5bo30b2o3b2ob3o5b2o4b3o$2266bo7bo2bo2b2o5b2o7b2o3bo5bo28b4obo5b2o37b2o7b2o2bo3bo$2264bobo4bo2bo3b2o2bob2ob2o6bo2bobobob4o7bo23bo2bo3bo2b2o36bobo3bobo2bo5bo$2265bo5bob3o3bo2bob2ob2o9bob2o10b4o23bobo4b2o2bo6bo30b2o3b2o2bo3bo3bo5bo$2274bobo7bo2bo2b2o3bo2bo6b3o3bo5bo28b2o3bo4bobo38bo7bo4b3o$2274bobo3bo3bo2bob2o4bo2bo8bo2bo2b5o31b3o7bo2bo34bobo3bobo3b5o$2275bo4bob2o6b3o2bobo3bo4b2o2b2o10bob3o23b2o4b2ob2o37b2o3b2o3b2o3b2o$2284bobo4bo3b3o2bo5b2o7b3o3bobo33b3o6b3o3bo34b2o5b2o4b3o$2284b3o3b3o2b2o3bo5b2o6bo2bo2bo2b5o31b2obo4b2o3bo35b2o3b2o4bo3bo$2291b2o2bo4b2ob2o2bo4b5o3b2o4bo8b2obo22bo5bo2b2o37bo3bo4bo5bo$2294b3o4bo4bo4b3o2bo8b2o4b3ob2obo27bo2bob2o4bo40bo5bo6bo$2295bo5bo4bo3b2o4bo10bo3b2o2b2o31bob3o2bob2o2b3o34b3ob3o5b3o$2301bo3bo5bob4o7b3o3bo13bo3bo26bo3bo18bo30b2ob2o$2302bo2b2o5bo2b2o4b3obo3bo4bobo5bo2b4o28bo3bo5bo5bo34b2o3b2o6bo$2304bo7b3o6bo2bo10bobo3b2o3bo30bob2ob2ob3o4bo5bo30b2ob2o6bobo$2312b4o5bob4o7b3o3bo18bo26bo2bob2o13b2o31bo3bo$2312bo2bo6bo4bo3b2o7b2obo3bo5b3ob2o28b3ob2obo9b5o30bo3bo$2313bobo7bo7b2o7b2obob2o5b3obo31b2o3bo2b3o4b3ob2o7b2o21b2ob2o6b3o$2323b2obo6b3o5bo3b2o3b2o4bo12b2o25bo5b2o46b3o$2322bo3bo5bo3b2o3b2o7b2ob2o10bo2bo28b2obobo12bo2bo8bo21bo3bo$2322bo8bo2bob2o4bo10b5o4b3obobo30bo3b2o2b2o5b2ob2o7bo22b2ob2o7bo$2324b2o8bobo8bo5bo9bobo2b5o8bo26b2o2bob2o2bo9bo33b3o$2331bo2bobo6b2obo4b3o6b2o2bo3bo10b2o27bobobo2b2o8b3o9bo21bo3bo$2332b4o6b3ob2o13bobob3o4bob3o2b2o7bo20bo3b2ob2o9b2o2b2o3bobo20b2ob2o$2334bo6b2o3bo14b2o8bobob2o2bo6bo2bo27bob2ob2obo10bo33b3o$2341b2obobo7b3o5bob2o5bo6bo11bo27b3ob2obo9b2o10bo21bo3bo$2343b3o7b2obo14bo3b3o7bo4bo33bo2b2o8bo3b2o3bobo12bo7b2ob2o$2351b2o3bo15b4o5b3ob2o2bo7b3o27b4o2b3ob2o2b2o3bo2bo12bo18bo$2352bob2o9bo6bobo6bob2o3bo7b3obo30bob3ob6ob3o4bo5bo21b2ob2o$2354b2o6bob3o15bo2b3o7bob2obo37bobobo6bobo4bobo11b2o7b2ob2o$2362bo3bo15b2o7b2o2b2o2bo8b2o31b6obo2bo4bobo9bo3bo18bo$2362b4o19bo5bob2o3bo7b2o2bo26b2o2bo6b2obo2b2o4b2o5bo4bo17bobo$2364bo7bob3o4bo3bo6bo2b3o7bo4bo41bo2bo3b3o5b2o20b2ob2o$2372b2o2bo3bo12bo7b2o2bo2b2o8b2o27bo3b2ob2obo8bobo10b4o$2373b3o17b3o5b2o3bo10bo2bo26bo2bo8b2o4bobo3bo6b3obo17b3o$2381bo3b2o4b2ob2o7bob3o8b2o2bo27bo10b3obob6obo4b2o21bobo$2382b2ob2o4b3o21b2ob2o8b2o27b2ob2o3bobobo6bo13b2o8bobo$2384bo6b3o8bob2o4b4o2bo10bo2bo26b2o11bobo4bo2b2o7b2ob2o17bo$2392b2ob2o5bo2bo10bo10bo2bo28bo10b2o2bob2o4bo2bob2o21b3o$2393bobo6bo9bo3bo3b2o3bo2b2o9bo27b2o5bo3bobobo5bo12bo8bobo$2394bo7bo2bo6bo10b3o11b2obo27bobo9bo6bob2obo6b2obo$2402bo2bo7b3o5bo2bobo6b2o3b2o29bo8bob2obo3b3o2bo2bo2bo3b2o16b3o$2403bobo7b2o7b3obo3b2o7bo8bobo27bobo3b2o4b3obobobo3b2o16bo2bo$2404bo8b2o8b3o5b5o7bo4bo29b3o9bo2b5ob2obo4bo2b3o$2412bo2bo8bo6bo4bo3bo3bo3b3o37bobo2b3o3bo2bobobo2b2obo18bo$2413bobo16bo3bo3bo3bo14b2o27b3o5bo4bo2bo4b2obo7bo8b2ob2o$2414bo8b2o8b3o5bo10b2o4b3o28bo10bobob3o2bo2bo8bo2bo7b2o$2423bobo16b2ob2o3b4o5bo37bo2bo6b2o3b3ob3o2bobo5b2obo8bo$2423b3o16b5o4b3o8bo6bo28b3o2bo3b2o4b2ob4o12b2o6bobo$2433bo19bo5bo3bo5b2o36b2obobo4bo3bo9b3o5b2ob2o$2433b2o17b2ob2o2bo2bo6bo38b3obobo3bo3b2ob2o5b2o5b2obo$2434b2o17bo2bo4b2o7b3o6bo29bo4bo2bo5bo3b3o12bo7b3o$2463bobo3b4o5bobo37bo2bo8bo11bo7bobo$2442b3o13bo4bobo4b3o8bo36b3o2bo4b4o2b2o2bo3bo7bobo$2444bo2bo11bo3b3o12bo44bobobo2b2ob3obo2bobo7b2o9bo$2446bo6bo10b2o7bobo3bob2o5b3o37b3o2bo2b2o2bo8b3o8b3o$2453bo3bo6b2ob2o4b3o4bo2bo5b2o38bo3b3ob2obo3bo3bobobo7bobo$2453bo3bo7bo3bo4bo14b2o8bo34b2obo3bo2b2o2bob3o$2455b2o7b2o3bo12bo2bo3b3o7bo38bobo2bo2bo12bobo8b3o$2463b4o7b2ob2o4b3o6b2o5bo39bo4b2o2bobo7bobobo7bo2bo$2464bob2o7b2o2bo12b2o6bo8bo34bo3b3o2b3o2bo2b2o$2465bo7bo3b3o13b2o4bo2bo5bobo37b3o4bo3bo10bo10bo$2473bo2b2o7bob2o5b2o4bo2bo50b2o12bobob2o6b3o$2474bobo6bob2o2bo13bo6bo42bo4b3o2b2o3b2obo9b3o$2475bo7bo4b2o13b3o4b3o5b3o38bo4b2o3bo10bob2o7bo$2484b3o8bobo12b3o5b3o41bobo4bobo5bo2bobo7bobo$2484b3o6b4ob2o6bo6bo3b3o43bo4b3o3bo3b2o9bo3bo$2493bo4b2o6bo5bo2b3o11bo43b2o4bobo10bo$2494b3o17bobobob4o4b3o41bobo2bobobo8b3o7b3o$2495bo7b2obobo8b3o7bo44bo6b2o5b3o2bo8b3o$2503bo2b3obo6b6o3bo56b5obobo7bo2bo$2504b3o9bobob2o2bobo3b2obo4b3o41bobo2bob2o10bo9bo$2513b2o3b3o2b3ob4obobo4bo42bo3bo3bo6bo3bo8b3o$2514b3obob6o5b6ob2o9bo33bo9b2ob2ob2o8bo$2515bo6bo3bo7bob5obo6bo35bo5bo2bo2bob2o8b3o2bo$2523bo2b4obo10bobo3bobo41bo2b2o8bo2b2obo2bo5b3o$2524b3o3bo2b2o6bo2b3o46b3o5bobo3b3o9bo2bo$2530bo2b2obobo2bo5b2o2bobo4b3o34bo6b2o3bo7bo3bo2b2o$2533b2ob2o6bo3b2obo2bo47b2o6b2o3bo2b2o2b3o6bo$2535bo3b3o4bob2o5bo2bo2bo42b3o6bob2o2bobobo6b3o$2543b2obo2b3o3b2o4bo7bo42b2ob2o3b5o4b2o2bo$2544b3o3b2o2b2obobob4o3b3o42bob2o4bob3o3bo4bo$2548bobo3bo4b2o2b2o3b2obo42b2o7bobo3bobobo6b3o$2553b2obo3bo4bo4b2o51bobo4b3o7bo2bo$2555bobo3bo3bobobobob2o3b3o42bobo8b2o3bo2b2o$2561bo2bobob2o4bo2bo3bo42b2o8b2o3bob3o7bo$2558b2o4bob3o12bo51bo6bo9b3o$2564bo4b2o3bobo4bobo5b2o42bobo9bo3bo2b2o$2569b3o4bob3o2b2o2b2obo43b2o8b2o3bo4bo$2568b2o4b3o2bob2obo2b3obo51bo6b2o8b3o$2574bo5b5ob4ob3o5bo44b2o9bo3bo2bo$2578bo7bo3bo2bo4bob2o42b2o7b3o3bo3bo$2579bo3b3o5bo2bo2b2o61b5o6bo$2579bo7bob2o2b2o7bo51b2o6b2obo4b3o$2591bo3b2o2b2ob2o4b3o43b2o8b2o3b2o2bo$2588bob4ob2o4bobo4bob2o59b3o$2589bob2o4b3o2b2o2bo2b2obo51b2o9bo4b3o$2594b2o2b2o3bo6bobo5b2o44b2o8b2o4bo2bo$2598b3ob2ob2o4bobo3bo2b2o58bob2o$2602bo2bo2bo3bo2bo4bo53b2o8b2o5bo$2604b2o2b2o3bobo4bob2o50b2o8b2o4b3o$2609bo2b2o7bo5b4o59bob2o$2611bo2b2obo4bo3bob3obo51b2o8bo$2614b2obob4o2b4o3bo51b2o8b2o4b3o$2620b3o2bo2bobobo4bo3bo4bo43bo9bo2bo$2624b2ob3o6bob3o2bo2bo47b2o8bo$2625bobo2b3o3bo6bo47bo2bo7bobo6bo$2631bo3bo3bobo14bo31bo11bo3bo4b2ob2o$2635b4o2bo4b3ob3o2bobo41bob5o6b2o$2635bo4b3o3b3o2b3o43bo3b2o9bobo6bo$2648bo2bo7bo37bobo13b2o5bobo$2645b3obobo5bo2bo4b3o41b4o2b2o2b2ob2o$2645bo5b2o3b2o3b3o2b2o39b3obo7b2obo8bo$2656bo2bobo2b2o2b2o37b2o11bo2bobo4bobo4b2o$2654b3obo2bob3o2b2o5b2o43b3o2bo3bo2bo$2660bob3o3b2o2b2o2bobo38b2o6bo4bobo14bo$2664b2obobob2ob2o3bo6bo30b2o11b2o8b3o5bo$2664b2o3bobo2bo4bo6bo44b2ob3o3b3o4bo$2671bo6bo3b2o2b3o38b2o11bo16bo$2673b2o3bo3b2o3b2o6b2o30b2o12bo3bo5bo4bobo$2675b2o3bo3bobobo8bo43bo3bo4b3o5bo$2680bo3b5o3b2o43b2o3bo2bo8bo$2682bob4o4bo2bob2o7bo30b2o12b3o12b3o$2690b2o6bo4bob2o45b4o4b3o3b3o$2690b5o2bo5bob2o10bo29b2o4b2o6bo2b3o$2692bobob2o5bobob2o8bo29b2o12bo3bo5bo3bob2o$2700b2o3bo2bo5b2o46bob2o5bo3bo2bo$2699bo2b6o5b3o12bo28b2o4bo7bo$2706bo10b2o6b2obo28b2o13b2ob2o5b2o3bo$2702bo7b2o2bo3bo53b3o6b8o$2709bo2bo2b3o5b2o13bo28b2o12bo3bobo$2710bo2bo10b2ob2o7b3o28b2o13b2obo2bo4bo$2720b2o2b2ob2o5bob2o45b2o6b2obob3o$2711bobo5bobo4bo7bo2bo9bobo27b2o12bo3bobobo$2720bobo11b2ob2o7bo2bo22b2o3b2o13b2obo$2721b3o6bo4bobo6b3o47bo2bo4b3o2bo$2722b2o5bob2o3bo7bo2bo9b2o24bo3b2o10b2ob2obob2o$2730bo14bobo2bo2bo3b3o22bo4b2o14b3o2b2o6bo$2732bo6bo5b3o2bo3bobo26bo23b3o3bo3bo$2732b2o5bob2o12bobo3bo6bo24b2o2b2o10bobob2o3bo$2740b2o8bo4b2o2bo2bo4b2o23bo4b2o15b2o2bo$2742bo6bo6bo4b3o2bo2bo23b2o22b2o3bo2b3o$2742bo6bobobo3bo3b3obob5o31b2o2b2o11bo2b5o$2743bo6b2o10b2obo3bo2bo4b3o23b2o2b2o11bo7bo$2752bo6b2o3bo7bo3bo26bo9bo13bo8bo$2752bo6b3ob3obo4bo2bobo2bo34bob2o9bo2b3ob3o$2753b2obo8b3o4bo3b2ob3o5b2o23bobo3bo3bo7b4o4bo$2762b4ob3ob2o3b2o2b3o3bob2o23bo12bo6bob3o$2762b7o2b5obob2o4bob2obo31bobo2bobobob4o8b3o$2766bo12b3o3bo3bobo5bo24bobo3bo3b3o2b2ob6o2bo$2771b2obo2b2o2b2o5bo3bo3bob2o23bo13b3obo3b3o$2773bob3o7bob3o2bo3bo3bo31b3o2b3obo14b2o$2782bob2obobob4o4bobo5b2o23b3o7b3o5bo2b2ob2o$2782bob2ob2o3bo3bo2b3o4bo36bo2b6obo3bo$2782bo3bo12b3o4bo2b2o32bo7bob2o8bo2bo$2795b3o4bob2o5bo6bo24bo9b2o8bo2b2o$2791b3ob3obo3bob2o3bo6b2o24bo5bo9b3obo4bo$2803b2o4b2o5b2ob2o25b2o6b5obo2b2o9b2o$2800bob2ob2o3bo2bo3bo3bo7bo23b7o3bo6bo2b4o$2801b2o3b2o2b2obob4obo6b2o24bob4o11bo2bo3b2o$2810b2o2bo3b2o7bo3bo38bo3bob3o$2811b2o3b2o3bob2o2bob2o9bo22b7o4b3ob2o3b4o$2812bo3b2o3bob4ob3o7bobo22bo10b3ob3o2bo3bo$2821bo15b2o9bo26b2ob2o4b2ob2o$2821bo4b2o4b2o3bob3o7bo22bo2bo2bo10bo4b2o$2822bo3bo4b3ob2o11b3o21bobo10bo4bob2ob2o$2823bo7bo4bobo8bo2bo7bo25b2obobo5b3o$2832b6o8bo3b2o5bobo22b3o3bo9b2o$2832b3o6b4o3bo10bo22b2o11b3obo3b4o$2841bo4b2o8bo3bo34bob3o2b2obo2bo$2842b3ob2o8bobobo6b3o22b2o8b2o4bo$2843bo7b2obobo3bo6b3o23bo9b5obo4bo$2851bo2b5o6b2o36bobo2b2o2b2ob3o$2852b3o13b3o7bo23b2o9bo2b3o$2861b2obobob2o7b3o24bo9b2o3bo3bobo$2861b2ob2obo8bo4bo31bo5bo3bo2bo$2863bo11b2ob2obo31bobo2bo4bo2b2obo6bobo$2871b2obob3o8b3o23bo10b2o3bo3bobo$2872bobo13bobobo32bob2o4b2o4bo$2873bo7bo3b2obo3bo30b6o5b3o2bo6b2o$2882bobo2bo8bobo24bo11bob2o7b3o$2882b3o4bo2bo2bo2b2o2bo22b2o10b2o3b3o2b2o$2890bo2bo4bob3o30b3o8bobo2bo6b2o$2892b3ob2o2b2o6bo4bo20bo2bo9b2o4bo3bo$2893bo6b3o2b4o2bo3bo19b2o7bo8bo4bo$2900bo4b2obo2bo32bo2bo5bo2bo2bo6bo$2901bob2ob2o3bo5bo26bo2bo7bob2o5b4o$2903bo7b2o5b2o2b3o20b2o7b3o6b3o2bo$2903bo6bo3b3o4b5o28bobo6bo2bo2bo$2910bo5b2o5b5o27b2o8bob2o6b3o$2912b2o8bo2bo2bo26b2o7b2o7b2o3bo$2914bo4bob2ob3ob2ob5o37bo3b2o$2920bob2o4b4o4bo28b2o8bob2o7bo$2923bobo3b3o5b2o27bo7b2o8b2ob2o$2924bo4b3o3b4o36bo5b2ob2ob2o12bo$2933b2o5b7o28b3o7bo9bo5bo6b2obo$2933b3o2bo2bob3obo37bo2bo3bo2bobo$2938bo8b2o36b2o4bo3bob2o6bo6bo$2940b2ob2o3bo6b2o29b2o4bo2bobo7bo4b2o9bo$2944bo3b7o2bo38bobo3b2obobo9b5o$2945bo3bobobo3bo38b2o3bo3b3o7b8o$2950b2obo4bo2b2o3bo29bo5b2o3bo7bob2o$2954bo4bo5b2o3bo35bo5b2obo8bo5b3o$2955bo3bo2bob2obo38b3o3b2o2bo9b4o$2956bo3b2o2b3obo2bo40b2o2bobo6bo7bo$2965b3o3b2o2b3o2b2o25b2o13bo2bo7bo7bo$2966b4ob2o2bo3bo36b2o4b2obobobo5bo4b3o$2967b2obo4bo2b4o35bobo3bo7bo4b4obobo$2975bo3bobo4b2o2bo26b2o5bo2bo4bo3b4obobo$2976bob2obo3b2o3b2o37bo3bobo3b4ob2o4b3o$2977bo3bo3bobo2b2o4bo2bo26b2obo3bobo5bob2obo2bo3bo$2986b3o7bo3bo27bo5b3o7bobob2o3bo$2986b3o3bo2b2o4bo34b2obo3bobo4b3ob2o5bo$2990b2o3bo5bo5b2o28b3o3b2o9bobo3b3o$2996b2o3b2o3b4o35bo10bo2b5o$2997bobob2o3bo2b2o35b2obo3bobob2o5bo$3000bo4bo2b4o5bo30b2o3b2ob3o5b2o4b3o$3006b4obo5b2o37b2o7b2o2bo3bo$3009bo2bo3bo2b2o36bobo3bobo2bo5bo$3009bobo4b2o2bo6bo30b2o3b2o2bo3bo3bo5bo$3016b2o3bo4bobo38bo7bo4b3o$3019b3o7bo2bo34bobo3bobo3b5o$3020b2o4b2ob2o37b2o3b2o3b2o3b2o$3027b3o6b3o3bo34b2o5b2o4b3o$3029b2obo4b2o3bo35b2o3b2o4bo3bo$3031bo5bo2b2o37bo3bo4bo5bo$3036bo2bob2o4bo40bo5bo6bo$3038bob3o2bob2o2b3o34b3ob3o5b3o$3045bo3bo18bo30b2ob2o$3047bo3bo5bo5bo34b2o3b2o6bo$3047bob2ob2ob3o4bo5bo30b2ob2o6bobo$3056bo2bob2o13b2o31bo3bo$3057b3ob2obo9b5o30bo3bo$3058b2o3bo2b3o4b3ob2o7b2o21b2ob2o6b3o$3066bo5b2o46b3o$3067b2obobo12bo2bo8bo21bo3bo$3069bo3b2o2b2o5b2ob2o7bo22b2ob2o7bo$3076b2o2bob2o2bo9bo33b3o$3078bobobo2b2o8b3o9bo21bo3bo$3079bo3b2ob2o9b2o2b2o3bobo20b2ob2o$3087bob2ob2obo10bo33b3o$3088b3ob2obo9b2o10bo21bo3bo$3094bo2b2o8bo3b2o3bobo12bo7b2ob2o$3097b4o2b3ob2o2b2o3bo2bo12bo18bo$3101bob3ob6ob3o4bo5bo21b2ob2o$3108bobobo6bobo4bobo11b2o7b2ob2o$3111b6obo2bo4bobo9bo3bo18bo$3107b2o2bo6b2obo2b2o4b2o5bo4bo17bobo$3122bo2bo3b3o5b2o20b2ob2o$3117bo3b2ob2obo8bobo10b4o$3117bo2bo8b2o4bobo3bo6b3obo17b3o$3118bo10b3obob6obo4b2o21bobo$3127b2ob2o3bobobo6bo13b2o8bobo$3127b2o11bobo4bo2b2o7b2ob2o17bo$3129bo10b2o2bob2o4bo2bob2o21b3o$3137b2o5bo3bobobo5bo12bo8bobo$3138bobo9bo6bob2obo6b2obo$3139bo8bob2obo3b3o2bo2bo2bo3b2o16b3o$3148bobo3b2o4b3obobobo3b2o16bo2bo$3148b3o9bo2b5ob2obo4bo2b3o$3158bobo2b3o3bo2bobobo2b2obo18bo$3158b3o5bo4bo2bo4b2obo7bo8b2ob2o$3159bo10bobob3o2bo2bo8bo2bo7b2o$3167bo2bo6b2o3b3ob3o2bobo5b2obo8bo$3168b3o2bo3b2o4b2ob4o12b2o6bobo$3177b2obobo4bo3bo9b3o5b2ob2o$3178b3obobo3bo3b2ob2o5b2o5b2obo$3179bo4bo2bo5bo3b3o12bo7b3o$3188bo2bo8bo11bo7bobo$3188b3o2bo4b4o2b2o2bo3bo7bobo$3193bobobo2b2ob3obo2bobo7b2o9bo$3198b3o2bo2b2o2bo8b3o8b3o$3199bo3b3ob2obo3bo3bobobo7bobo$3204b2obo3bo2b2o2bob3o$3208bobo2bo2bo12bobo8b3o$3209bo4b2o2bobo7bobobo7bo2bo$3214bo3b3o2b3o2bo2b2o$3218b3o4bo3bo10bo10bo$3224b2o12bobob2o6b3o$3223bo4b3o2b2o3b2obo9b3o$3229bo4b2o3bo10bob2o7bo$3232bobo4bobo5bo2bobo7bobo$3233bo4b3o3bo3b2o9bo3bo$3243b2o4bobo10bo$3242bobo2bobobo8b3o7b3o$3242bo6b2o5b3o2bo8b3o$3253b5obobo7bo2bo$3252bobo2bob2o10bo9bo$3252bo3bo3bo6bo3bo8b3o$3253bo9b2ob2ob2o8bo$3255bo5bo2bo2bob2o8b3o2bo$3262bo2b2o8bo2b2obo2bo5b3o$3263b3o5bobo3b3o9bo2bo$3265bo6b2o3bo7bo3bo2b2o$3272b2o6b2o3bo2b2o2b3o6bo$3274b3o6bob2o2bobobo6b3o$3282b2ob2o3b5o4b2o2bo$3283bob2o4bob3o3bo4bo$3284b2o7bobo3bobobo6b3o$3293bobo4b3o7bo2bo$3293bobo8b2o3bo2b2o$3294b2o8b2o3bob3o7bo$3303bo6bo9b3o$3303bobo9bo3bo2b2o$3304b2o8b2o3bo4bo$3313bo6b2o8b3o$3314b2o9bo3bo2bo$3314b2o7b3o3bo3bo$3330b5o6bo$3324b2o6b2obo4b3o$3324b2o8b2o3b2o2bo$3341b3o$3334b2o9bo4b3o$3334b2o8b2o4bo2bo$3350bob2o$3344b2o8b2o$3344b2o8b2o2$3354b2o$3354b2o!

Could such pattern be added into Lifewiki along with those block-laying waves and clean waves ?
Current status: outside the continent of cellular automata. Specifically, not on the plain of life.

GUYTU6J

Posts: 670
Joined: August 5th, 2016, 10:27 am
Location: outside Plain of Life

### Measure-preserving

Semi-outer-totalistic CA is not measure-preserving transformation. (Due to the existence of Garden of Eden) Is there a simple way to make it measure-preserving?
shouldsee

Posts: 406
Joined: April 8th, 2016, 8:29 am

### Re: Measure-preserving

shouldsee wrote:Semi-outer-totalistic CA is not measure-preserving transformation. (Due to the existence of Garden of Eden) Is there a simple way to make it measure-preserving?

A reversible rule would match your specifications (correct?) but construction of a semi-totalistic reversible rule is likely impossible, given that I'm correctly understanding what that is.
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

Posts: 1889
Joined: November 8th, 2014, 8:48 pm
Location: Getting a snacker from R-Bee's

### Re: Measure-preserving

shouldsee wrote:Semi-outer-totalistic CA is not measure-preserving transformation. (Due to the existence of Garden of Eden) Is there a simple way to make it measure-preserving?

A reversible rule would match your specifications (correct?) but construction of a semi-totalistic reversible rule is likely impossible, given that I'm correctly understanding what that is.

Reversible would eliminate garden of Eden states, but do not necessarily guarantee a strong-connected state-space (since you can have many cycles isolated from each other). But in terms of measure-preserving, I think such system should be adequate. If we assign equal probability to every state within the same cycle, then any set would have a preserved measure under the transformation, (which ,however, make a dull topology, restricted to loops only.)
shouldsee

Posts: 406
Joined: April 8th, 2016, 8:29 am

### Re: Thread for basic questions

Can anyone tell me some good online archives or encyclopaedia other than wiki
rahul25

Posts: 84
Joined: August 28th, 2016, 7:36 am

### Re: Thread for basic questions

rahul25 wrote:Can anyone tell me some good online archives or encyclopaedia other than wiki

But forums, even with sticky posts, are lousy reference resources. There's a "Books and articles" category on the Wiki; there should be a "Websites" category too. There's a Wiki page, http://www.conwaylife.com/w/index.php?t ... Life_links but it isn't in any category and nothing links to it, making it very hard to find.
Rich Holmes

Posts: 55
Joined: October 31st, 2015, 1:13 am

### Re: Thread for basic questions

Does this (and the other such patterns from the thread) actually count as SS infinite growth? I kind of doubted it originally when I pointed it out, since it's mainly composed of moving objects (spaceships) rather than still objects such as the bricklayer (blocks).

And if it is indeed a record-holder for this category of patterns, does it deserve a wiki article?
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!
muzik

Posts: 3466
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

### Re: Thread for basic questions

musik wrote:Does this (and the other such patterns from the thread) actually count as SS infinite growth?

As I asked in that thread, doesn't it make sense to classify it as a really weird wickstretcher? I guess by that definition any gun might be a wickstretcher, but it seems especially applicable to this.
Last edited by blah on November 18th, 2016, 6:05 am, edited 1 time in total.
succ

blah

Posts: 244
Joined: April 9th, 2016, 7:22 pm

### Re: Thread for basic questions

blah wrote:As I asked in that thread, doesn't it make sense to classify it as a really weird wickstretcher? I guess by that definition any gun might be a wickstretcher, but it seems especially applicable to this.
I do think it *looks* like a wickstretcher... BTW, I was a little amused to see that back-and-forth glider isn't part of the wick, but rather acts as a c/61 stabilizing end of the "glider stream" wick.
On the other hand, I am not sure if Impush(it's in jslife; LWSS streams push a LoM in there) or elbowladder counts as a wickstretcher. I guess regular stablilized patterns are technically a wick but not called as a wick.

There are some terms for similar patterns. Elbow ladder (using slide guns), elbow, etc.
Best wishes to you, Scorbie

Scorbie

Posts: 1381
Joined: December 7th, 2013, 1:05 am

### Re: Thread for basic questions

I don't think bricklayer counts as a wickstretcher though.
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!
muzik

Posts: 3466
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

### Re: Thread for basic questions

Are there any known guns that produce rakes?
x = 81, y = 96, rule = LifeHistory58.2A$58.2A3$59.2A17.2A$59.2A17.2A3$79.2A$79.2A2$57.A$56.A$56.3A4$27.A$27.A.A$27.2A21$3.2A$3.2A2.2A$7.2A18$7.2A$7.2A2.2A$11.2A11$2A$2A2.2A$4.2A18$4.2A$4.2A2.2A\$8.2A!
Gamedziner

Posts: 790
Joined: May 30th, 2016, 8:47 pm
Location: Milky Way Galaxy: Planet Earth

### Re: Thread for basic questions

Many of them, classed as SMM breeders.
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!
muzik

Posts: 3466
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

PreviousNext