Find a rule game

Hunting · Post by **Hunting** » September 10th, 2018, 7:33 am

@Sarp, I'll say that your Week 4 challege is a GREAT challege.

Sarp · Post by **Sarp** » September 16th, 2018, 5:58 am

As nobody has posted anything that is not in life I'll extend the deadline by 1 week. I haven't specified anything about symmetry so you can use any 2 state rule

Sarp · Post by **Sarp** » September 24th, 2018, 4:47 am

Wow nobody posted a pattern that is not in CGoL in 2 weeks

Majestas32 · Post by **Majestas32** » December 19th, 2018, 3:30 am

There's a non-explosive rule where the tub is a 5000+ generation methuselah but I can't find it.

PkmnQ · Post by **PkmnQ** » December 20th, 2018, 12:25 am

Because no new challenge has happened in a long time, I think somebody has to think of a new one????????????????????????

Electro_blob · Post by **Electro_blob** » December 22nd, 2018, 4:30 am

PkmnQ wrote:Because no new challenge has happened in a long time, I think somebody has to think of a new one????????????????????????

I have a new challenge if the old one is dead:

Find a cellular automaton, which, in a random 50/50 soup is:
*universal (all cells obey the same rules and have the same neighborhoods; I think this is kind of a given)
*forms more distinct regions then there are states in the cellular automaton.

A region is distinct area forming in a soup which has an immediately distinguishable differing structure or pattern of cells from another region.
It is sort of like an agar, but it can have variability.

A region must:
*Be non-trivial. This means that it can not be reflected, rotated, translated, or recolored to be equivalent to another region.
When I say "recolored" I mean that you simply replace one state in the region with a different state and have region behave identically.

*Be found in different shapes and sizes, and is extendible.
For example, a ship in life is not a region because it can only be extended in one direction and is almost never found in sizes larger than 4 or 5 cells long.

There is no time limit except the point where people get bored and want a new challenge.

Examples of cellular automata that do not qualify:

B3678/S34678:

The two "regions" in this CA behave identically. If isolated they would act the same. This is an example of simply recoloring.

B3/S0123:

There is only 2 true regions in this CA, not 5, because all the linear "regions" are just rotations or translations of each other. So there is only the static region and the linear region. This doesn't qualify because there needs to be more regions then there are states (in this case 3, because there are two states.)

B2/S23:

Here one could consider the cloudy unstabalized area a region, and the stabilized region another. None of the still lives or oscillators are regions because they are not extendable. Once again, there is 2 when there needs to be 3 or more.

Good luck! I'm really curious about this one because I myself haven't been able to find an CA like this.

toroidalet · Post by **toroidalet** » December 22nd, 2018, 5:03 pm

I've got a solution for the previous challenge:

Code: Select all

#C The main culprit is the long line of duoplets, which take exponential time to eat. Luckily, this is the type of thing Hashlife is suited for, so you can turn the step up to 8^500+, which is what I did.
x = 10, y = 8, rule = B2ei3ikqry4acetz5acir6i7e/S1e2k3y4a6i
5b5o2$o$o$obobo$o$o$5b5o!

According to Golly it lasts

Code: Select all

34,549,705,026,997,791,161,076,792,345,898,126,436,570,777,729,084,888,695,666,347,282,562,719,561,114,896,238,385,823,952,298,936,093,613,332,010,647,764,099,973,345,637,714,067,169,502,297,982,995,699,748,896,449,274,994,245,881,214,567,091,813,086,377,527,141,640,658,134,045,413,219,407,979,067,227,313,790,339,910,792,775,444,438,519,084,149,247,957,001,079,224,255,639,958,539,379,178,084,304,775,264,951,406,364,853,551,908,124,682,179,249,573,544,944,142,656,541,257,277,891,341,222,366,704,745,074,571,941,590,403,450,490,451,175,867,770,869,638,193,729,740,375,012,493,556,086,123,257,631,485,868,109,198,534,215,122,467,653,635,868,160,426,523,542,050,595,451,380,924,050,227,348,591,598,549,185,441

generations (about 3.455*10^532), but it can vary by a few depending on when you consider the start of the double wickstretcher to be.
Here are 2 others that I haven't simulated to completion (because they last for even more unimaginably long amounts of time) but am pretty sure stabilise after much higher times (the prediction for the second one is based on simulations where I prematurely terminated the fuse):

Code: Select all

#C After around 1.4 billion generations, the wickstretchers collide, creating a fuse. The pattern stabilizes after the vertical wickstretcher head eats through all the duoplets (probably a few hundred thousand)
x = 10, y = 10, rule = B2ei3ikqry4acetz5acir6i7e/S1e2k3y4a6i7e
6b3o$5bo3bo$7bo2$7bo$o$o6bo$obobo$o6bo$o!

Code: Select all

#C After a really long time, a fuse is created. The wickstretcher heads eat away at the dominos (probably more than 10^13) until they reach the base, where they create a second fuse, which travels all the way back to the heads. Either it ends there or the wickstretchers eat the still lives (first turning them into oscillators and then destroying them), until they reach the base. There, I think that it creates a fuse which burns up until the head, where it turns the wickstretcher into a ship.
x = 9, y = 9, rule = B2ei3cikqr4aetz5cr6i/S1e2k3y
4b5o2$6bo2$o5bo$o$obobo$o$o!

Post by **calcyman** » December 23rd, 2018, 12:13 am

toroidalet wrote:

Code: Select all

#C After a really long time, a fuse is created. The wickstretcher heads eat away at the dominos (probably more than 10^13) until they reach the base, where they create a second fuse, which travels all the way back to the heads. Either it ends there or the wickstretchers eat the still lives (first turning them into oscillators and then destroying them), until they reach the base. There, I think that it creates a fuse which burns up until the head, where it turns the wickstretcher into a ship.
x = 9, y = 9, rule = B2ei3cikqr4aetz5cr6i/S1e2k3y
4b5o2$6bo2$o5bo$o$obobo$o$o!

Wow -- this is really impressive and deserves to be somewhere better than the Sandbox.

The number of pairs of dominoes is slightly more than 684188534511174 (depending on where you're counting from). Each of these domino pairs quadruples the amount of time elapsed, so the pattern will last a more than 2^2^50 generations.

Sarp · Post by **Sarp** » December 25th, 2018, 6:18 am

These methuselahs are amazing

toroidalet · Post by **toroidalet** » December 26th, 2018, 1:04 am

I'm a bit confused about this new proposed challenge with regards to what a "region" is. For example, how many regions would this rule (posted here) have?

Code: Select all

x = 40, y = 40, rule = B3ai4acnr7c/S3i4-ceq5-jqy6ac7c8
bobobo2bob2o3b2obo2b3ob3ob2o3b3obo$bob2obob2o2b5o3bo2bob2o4bob2obo2bo$
5o2bob5ob2ob2o2bob2o2b2ob2o2bobo$3o2b3o5b2obo6bo6b2o2bobo2bo$b2o7b2obo
3b2obo3bo2b3o2b3ob4o$bob2o2b2o3b4ob2ob2ob2ob3o4b2ob4o$b3obo4bob2o3b3ob
o4bob10obo$6b3obo2bo2b6o2bo2bobo3bo2bo$b2o2b4o2b2ob3o3bo3bobo2bob6o$2o
4b3o5bob2obo2bobo2bobob2o3bo$2o5bo3b3o2bobo3bo8b2o3b2o$b2o4bob5o3b2obo
b2obo7bob3obo$bo3bo3bo3bo2bo6bo3bobobo4b4o$o2bob2o3b7ob3o3b4o5b3ob2o$b
2obo2b2ob2ob2o2b6obo3bo2b3ob3obo$2b2ob2o6bo2b2o2bobob2obob3o2b3o2bo$ob
o3bobo2b2ob2obo2bobo2bo2b2o4bo4bo$2ob2obob2ob2obo2bob4obob5obo6bo$b2o
2bob2ob2ob2obob3ob2ob3obob3o2b4o$b5o3bo2bo2bo4b2ob2o5bo5b2obo$o2b2obob
3o2b4o2b2obobo2b3o3b3o2bo$b4o2bo4b2o2bobobo3bob2o2bobob5o$b2o3b6ob4o2b
2o4bo2bob3o3b3o$7o2b2obobob3obob3obo2bobobobob2o$5obo2bob3o4b2o4b3ob3o
2bo2b3o$3obo3bobob2o2b4obobo3b3o5b3o$o4b3obobo3b2ob2o2b2o3bobobobobobo
bo$o2bob3ob2o4bo2bobob2o2bo2b2ob2ob4o$2obo2b5obo3b4o2bobobo4b3o4bo$2o
3bo3bob2obobobo4b2obob2obo2bo2bobo$2o3bob3o2bob3ob4ob2ob3o3bo2b3obo$2b
ob2obobo2b3o7b3obobo3b2obob3o$2bobob2o2bo2bob2o5bo2bo2bob4ob2o2bo$2bob
3o3b4o2b4obob2obo2bo2bo5b2o$obob3o7bo2b3obobo5b3o3b5o$ob4obo2bob3obob
3obo2bo3bobo4b2obo$obo3bo5b2o4bobob3o2b3ob2o2b4o$6b2o2b5o3bo3b2obo7b2o
bo$o2bo4bobob3ob5o2b3o5bo3b3o$2ob4ob3obo2b2ob3obo2bo2b6ob5o!

Is the stabilised Voronoi-diagram section considered equivalent to the chaotic section?
Is it the same region type as the gutter areas or the 100%-density area?
Are the areas with gutters considered regions or are they disqualified because they can only be extended in 1 direction?
If they are considered regions, would the orthogonal gutters and diagonal gutters count as different regions or the same one?
Is the main 100% density part a recoloring of the vacuum and so not its own region?
And so on...

Perhaps people in glass houses shouldn't throw rocks, but I can't offer a solution if I can't tell what's being asked.

77topaz · Post by **77topaz** » December 29th, 2018, 9:05 pm

toroidalet wrote:

Code: Select all

#C After a really long time, a fuse is created. The wickstretcher heads eat away at the dominos (probably more than 10^13) until they reach the base, where they create a second fuse, which travels all the way back to the heads. Either it ends there or the wickstretchers eat the still lives (first turning them into oscillators and then destroying them), until they reach the base. There, I think that it creates a fuse which burns up until the head, where it turns the wickstretcher into a ship.
x = 9, y = 9, rule = B2ei3cikqr4aetz5cr6i/S1e2k3y
4b5o2$6bo2$o5bo$o$obobo$o$o!

Wow, in this rule I got an exponential fuse-based methuselah just from a single random soup:

Code: Select all

x = 166, y = 171, rule = B2ei3cikqr4aetz5cr6i/S1e2k3y
b2obob2ob2ob2obo2bob2o2bo8b4ob2obob5o3b2obo2bobob3ob2o3bobo2b3ob2obo2b
2o3bo5b2o2bobobob8o2b2ob2o4b6obob2obob2obo4bobob2obob2o4b4o$o5bob2ob2o
4bo2bob6o3b2o3b2ob4ob6ob3obo2bob3o2bo2bo5b2obo2bo3b2o3b2obob3obo5bo2b
2o2bob3obo5b2ob13obo6bob2o5b2obo4bo$3b3obo3bob2ob2o4b2o3bobo2bobob2obo
bo2b2obo2bo8b6obo4b2o2b2ob3obob2obobobob2o2b2o2b3o3bobobo5bo8bo2b2o3b
3o4b3o2bob3o3b3ob3obo$obo3b3ob6o3b2ob3ob2ob2o3bobo2b3o2b5ob3o2b6obo2bo
b6o7b5ob4o3bo4b2o3b5obo4b2o4bo2bobob2o2b5o2bo2bo3bo2bob2o4bob3ob2o$b2o
2bo3bo3bobo2bo2bobo2bo3b2obo5b4obob4o2bo2bo2b2ob5o2b2o2bo2b2o3b4ob4obo
b3o4b2ob3obobobobo2b3ob2ob6ob6ob2o2bo3bo2b2obo3b2o2bo2b5o$obob3o3b3o2b
2o3b5obo2bo6bob2ob4obo2bo2bobo4b3obo2b6obob2obo4b3ob4ob7obobob3o6bobo
2bob2o4bob2o3bob3o2b2obo5b3o3bo4bob3o$obo2b3o3bo7bobob4ob2ob4o4bo2b2ob
o3bo2b3ob3ob4o3b4obo2b2obobobob3o2bobobo3b3obo3bo2b2obobo3bo2bob4o2b2o
2bo3b2obo3bo2b3o3b5o2b5o$bobo3bob4o3bobo3b2ob3obo5b2o2b2o3bo2bo2b3ob5o
3bobob3o2bobo2b2o2b2o4b2o2b4obo2bobo2bo2bobobobo2b2o2b2o2b2o2bo3b6obob
o2bo3b3o2b2o2bo2b4ob2o$3bobob3obob2o2b2o2b3ob3o3b2ob4obobobob2obobo6bo
b7o3bob2o3b2obo3b3obo2bob3obob2o3b2obo2bo12bo2b3ob2o7b3ob4ob2obo2bo2b
2obobo2b2o$2bob3o6bob3o4b5o3b3obob4obob5o3b3o3b2obo2b3o4b3o2bobo4b6ob
3o4bobobob3o4b2o3b4o3b4obobo6bob2o9b2o2b6o2bob3o$b2ob2o3b2o2b3o2bobo5b
ob2ob2o3bo2bo3b3obo2b4obob7obob4o4b2obo2b2ob2o2bo5b6o2b2ob2o3bo3bo3b3o
2bo2b2obob4ob3o6bobob2ob3ob3o2b4o$o3b2obo2bo3b2obobob2obo2bobobob2o2bo
b2obob3obo2b2o2b2ob2o3bobobob3o3b2o2b5obobo3bobobo2b4o3bo2b5o2b2obo4b
2ob2o2bob3o2b2obob4o2bobo3bob2ob3o2bo$2bo3b2o2b2o2bo4b2ob2obo3b2obo5b
2ob5o3b2o4b2o2b9ob4o2bo4bobobo2bob3ob4ob2ob3ob2ob4o5bo2bo10bo3bob7o2b
3ob2obo3bobo2bob2o$3b3obobo6b3o3b2ob3o2b3obo2bob3ob3o8b4o2b2o2b4o4b2ob
ob2o2b2o3bo3b6o7bobobob4obob2o2bo2b4o2bob2ob2o2bo5b4o2b3o4bo2bob3o$bo
2b3ob3o4b2o2b4ob2o2b5o5b2o3b4ob2obo3b4obobobo3bob2o4bob3o2b4o2b3o4b3o
2bo4b2ob2ob2o2b2ob3o8b6obo3bo6bo2b2o2bob2o2bo2bo$b2ob5o3b4o3bobobob3o
2bobo3bo2b7ob2o4bo7b2o3bo2bobo2bobo2bob2o2bo2b2ob2obobobobob5obobo2bo
2b2ob2ob2o3b4o4b4obob2o3bo4bobo2bobo4b2o$bob2o3bo3bo5bobo2bobo2b3o2b2o
4bobo3b4obobo6b2obo4bo2bob3o4b4o2bob6o2bo3bob4o6bo2bob2ob5o3bob2o3b4o
2bob2ob4o2b4obobo2bobo$o2b2ob5ob3ob3obo4bobobob3o4b2o2bo2bo4b2o4bo2b2o
bo10b6obob2obo2b4o2b2o2bo2b2ob4ob2obo2bo5b3o3b4obo2bob3o2bob2o2b3ob2o
3b2ob2o2b2o$9ob2o3b4obobob2obob4o3b2ob3obob2o3b2ob4o2b3o2b6o4b2o3bob7o
3b3ob2ob2o2b2ob3ob3o2bob7obobob2obo2bob5obob2obo2b2ob2ob2ob5obo$2ob3o
2b2ob4obob2o2b2o2b4o2bo2bo5b3ob5obob2o2b2obo3b2o3b2o3bobo3b6obo3bob5ob
o3b5o8bo2bobobob2o2b8o2b3ob2o3b3o2bob4o5b2o$bo2b3obob3o2bob3ob4o2bobob
2o4bobob2ob3obo2bob4obobo2bobo2b4obobo2b2o2bo3b3o2b2o2bo3b3o6b3ob2obob
obo2b4o3b3o2bo2b2ob3ob9ob2o2b2o$bo2bob7o2b4ob2o2b2o3bob2o2bo3bobo2b7ob
ob4obob2o2b3obob3o2b3obo2b3ob3o3b2ob2o2bo8b4o4bo4b2o2bob2o3b8o2b4o2bob
2obobo2bo2b2obo$4obo9b6obo3bo2bo2b2o2b3ob2o2b2ob3o6bo2bo2b4o2bobobo2b
3ob4ob6ob3o2b2obo3bo2b6o5b2ob2obo2b3ob5obo5bob2o2bo3b2ob3o$b3o2b2obo4b
ob2obobobo4bob3obo3bob7ob4obob3o3b2obo4b6o2bo5b3ob2o3bo3bo2bo2bob4o6bo
bo2b3o2b3o2b3ob4ob3o3b7ob2obobo5b3o$o4b8ob2obob2o2b3o2b3ob3o5bo2b3o2bo
4bob5o3bo2bo4b3o2bobo3bob5ob2obo2bob3o4bob2obo5bobo2b2o4bob4obo2b2o4b
2obobo2b2obob2o2bo4bo$6b2o3b2o4b2o4bo2bo2bo3b4o4bob5obob3obo2bob3o3b4o
3bo9bo8b6o2bobobobob2o5b2o2bobob4o3bo3bob3ob7o2b2obob4o4bo2bo$obo2b3ob
3o2b2o5bo3bo2b3obo2bobo3bo3b3o2bob6ob4obobobob2ob6o4b2ob6obo3bob4ob3o
2bo5bo2b2obo2bo2b2obo2bobob3obo2b2o4bob4ob3ob2o2bo$5bo4b2o2bo4bo5b4ob
6obob2obobo2bobob2o2bobobo4bo3bobo3b2obo6bo2b4o2bo5bo2bob3o2b5o2bo3b3o
b2ob2o3bobobob4o2bo3b5ob2obob2o2bo$b2obo2b2ob2o2bo2bob7o3bo2bobo2bo4bo
bo7bo2bo6b5ob2ob3ob3o2bob4o2b2o2bobo2b2o2b6ob2obo3b6obo4b2o3bo3b2o4b2o
5bob4o2bo2b2o2b2o$b2o2b3ob6ob2o2b3o3bobob3o2b4ob2obobo2bobo3b3o4bo2b2o
bobo2b3o2bobobo2bobob2o2b2obo2bo2bo4b2o2b2o3b2o2bo4bob4o3bobo2b2obo2b
2obo2bo2b4obobob3o$3ob2o3bo3b2obob9o3bob2o3bob2o5b4obo2b6ob5o3b2o3b2ob
ob2ob4o3bobo4bob4o2bo3b3o2bo2b4obobo4bo4bo2b4o2b3ob2obo3b3ob2obo2b3o$
2obobobo2b2o2b5o3bobobobob4obobo2b2o4bo2b2o2bobobo2b3o4b2o3b2obo4b2ob
6obo6bob2o3bo6b3ob2obo3b4obobob3o3bob4o2bo2b3o2bo3bo2bo2bobo$o2b2o2b4o
bobob5obo3b5o2b4o9b4obo3b2ob5o2b5o2bo2bob3obob3o3b2obo2b4o3b6ob2ob2obo
6bo2bobobob5ob2obo2b2ob4o3bo3b2ob2ob3o$o2bo2b2o2bo3bo6b4o2b2o2bobo2bob
obo2bob2obo6b2o2bo2bob2obobo3b2o2bo3bo2b3obo3bo5bo2bobobobo2bo2bo2b3o
2b2o4bo2bob3o2b4ob4o3b3obo2bob3o$5bo2bobo5b2o2bo3bobo2b2obob2ob2ob2o2b
3obo2bo3b5o2b2o2b2ob4obobobobob3obo3b3o3b2o2bob2ob2ob2ob4ob2o2b2obo2b
2o2b5o2bo3bob2obobobo4b10o$2obobo3b2o2b2obob2ob2ob2obo4b2o2bob2obo2b2o
2b2obob3o3bo2b2o8b3ob2obo2b4ob2ob2ob2ob3obo2bobobo5b2obobo2bo2b2o4bo3b
obob3ob2o2b3o3bobo2b2ob2o2b2o$b5obo3b2ob3obo4bobobo5bob5o4b2ob2o2bobo
2b2obo2b4obo4bo2b6o2bo2b7o2b2o3bo4bobobobo2bobobo5bob3ob2obo3b2ob4o2b
5o2b3obobobo2bo$3ob3ob3o5b3o2b2obob2obobob2obobob4o4bob2obo2bo2b3ob2o
3bob3obob4obo2b3obob3obobob2o2bo3bo2b5ob2o2bo5b2obo2bo2b3o2b2o2bobob3o
b2o2bobo3b2obo$ob4ob5o2bo2b2o3bo2b5o3b3ob2o3bob2obob2obobob2o4b3obo2bo
3bob2o2bo3b7o2bob3ob3ob2ob2o2b6ob4o2b2obob3o2b2o2b3o2b4o2b3o6bobob3o$
2bo4b2o4bob2ob3ob2o5b3o3bob3o2bo3bo4bo2bob4obobo2bo2b2o2bob3o2b7o2bo3b
2obo2b3ob2o3bo2b3o3b2o2bobobo2b2ob2o2b2obobob3o2b6ob2o7b3o$3bo3bobobob
2o3b4obob7ob2obo3b4o2b2o2b4o2bo2bob2ob4ob2o2bo2bob2o2b3obo2b4ob4o4bob
2o2b4ob4o2b2o5b2o2b5ob3o2bob2o5b4ob5o2bo$2bob2ob3o12b2o3b6o2b2o2b3o2bo
6bobo5bo3bobo2bo2b2ob9o2bo2bob2obo2b4o3bo2bobobo2bobo2b2o2b5o2b5ob2o2b
8o3b3o2bo3b2o2bobo$bo4bobobobo2bob3ob2ob2ob5o2b4ob3o4b3obob8ob5o3bo2bo
b2o5bo3b2o4bob3ob2obo4bo2bo2b2o2bobobob2obo2b3o2bo2bo4bobobo2b2obo2bo
4bo5b2o$ob2ob5obo3bobo5bo3b2o4bobo2bobobobo2b2o6b2obob4obo5bob7ob4o2b
2ob2ob4ob2o3bo3bo2bo3bobo4b7obobo3bob2obob2ob3obo3bobob5obobo$o2bob2ob
2o2b3ob4obob2o8b3obob3ob2o2b3obobo2b4ob2obob2o2b2o2b2o3b3ob2ob2o3b2ob
2o3b2ob3o2bo4bo2b2ob4ob3obob4ob2obobo3b2obobobo2bob3o3bo3bo$7bo2bob2o
3bo3bob2obobobobobo2b2o3bobobobob3o2b3o3bobo2bo2b10obob5o4bobob6o4bo3b
obob2o2bobo3bob3o3b3ob7o2b6obobob4ob2o$o2b2o3bob2obobob2ob3obobo3b7o3b
obobo2bob2o2bobobo2b3obo2b3o2bob5o2bo5b5obobo5b3obo2bo3bo2bob2ob2obob
3o2bo4b2o2bo5bob2o2bo5bo3bo3bo$5b2o2b2ob2o2b7ob3o3b4ob2ob4obob2obob3o
2bobobo2b2o4bob3o5bo2b2o2b6ob2ob2o2bobobob4ob2obob2ob2obob3obo2bobo2b
3ob2ob2o2bobob6obob2o$3bo2bob2o2b2o3b2o4b2ob8obobo5bo3bob2o2b2obobo2bo
b5obobob2o2b2o4b3o2bobob2obo10b2o2bo3b2o5b3ob3o3b2obo2b3obob2o2bo2bo4b
2o4bobobo$bobo2b2obo5bo3b6o3bo2b3obob4o2b3ob3o2b4obo4b2o3bo2bo2bobo5bo
2b2o3b2o2bo3b2ob2ob2o3bo5b3o2bob2obobo2bob2obo2bobo6bo2b2o2bo3b2o4b2o$
2o2bobobo2b2ob3obobo3bo3b2o2bob2ob2ob6o3b4o8bo3b2o3bob3o2bo2bob2ob3o2b
o4b5ob2o3bo2bo2bobob4ob3ob2o4b3o3b2o2bobobo2b2o6bob2obo2bo$5obo2b3o2bo
2b2o2bo7bobob2o3b6o3b3obob2o2b4o5b4o7bo2bobobobobob2o3b3ob7o2b3o7bobo
2b2o3b2ob4o2b2o5bo4bo4b3o3bo3bo$2ob5o2b2ob2o6bo8b2obob3o6bo6bobo4b2ob
4o3b4ob2o2b4ob2ob6ob3o2bob3o2b2o4bo2bo2b2ob6obobo3b4obob3obo4b4o2bobo
4b2o$ob3o3b2o2bo2b2ob2o2bobobo2bob2o2b4obo2b3o3bob2ob2o2bo2bobo4bob3o
3b6obo2b2ob2obo3bobobob2obobobob3o3bobo2b5ob2obo2bobo2b2ob4o3bo3bo2bo
2bo5bo$2bo3b3obo2b6ob3ob7ob3o2bo3b3o2b2o3bo4b3o7b4o2b2ob2ob4o2b2ob3o2b
o3bo5b2o2b5o7bob2obo4b3o5b4o3bo2bo2bob2o5bo2b2obo$bo6bob3o5b4o5b3o3b2o
2bob2ob2o4b2o3bo2b2obobob2ob6o2b5ob5o3bob2o2bo3b3o2b4o2b2o2bobo8b4obo
2b4obobo2b2o4bob2obo4b3o3b2o$o4b2o2bobo2bob4ob2obo4b2obob4o4bo2bo3b5o
9b2o4bo3bobobobo2bo3bo3b4ob3obo2bo2b2o2b2o3bo2b4obob2ob4obob4ob3o3b3o
2b2ob2obo7bo$bo2bobo2bo3bo6bo3b3o3b3ob2o3bo2bo2b2ob2ob6obo2bob2o5bobo
5b3o2b2o2bobo10b2obo4bo2bobob3o6b3obob2o4bo3b3o2b3o4bob2o5bobobo$o2b5o
2b5obo3bobobo7b3o2bo2b2ob4obo2b5obob6ob5o2bo2b3obo4bo2bo6b5o3bob3o2b2o
b2o2b3obo2b8o2bo3bob2ob3o5b2o3bob2ob5o$2o3bo2b2ob2o4b3ob5ob2ob2o3bo5b
3obo3b2ob2ob2obob4ob5o3b2obo2b3obob4ob2o2bo2bo2bob2o3b2ob2obo4b2o2b2o
3b2ob2o3bob2o2bobob2ob4o3bo3bo2bobo$3b5obo3bo2bo4b2obo3bo4bob3ob2obo4b
2ob3o2b2o2b2o2b3obob2o3bo2bob6o2b2obobobo5b3ob3ob2o3bo3bob2ob2o5b2o3b
3o2b7o4bo4bo2b7o$3ob3o4bob2ob6o3b2o4bob3ob2ob2o3bobo3b2o3bo2b2obobo2b
3obo3b2o5bo3b2obo2bo2bo2b3o2b5o2b2obob2o4b3o6bo2b2o4b3obobo3b2o2b2o2bo
bob2o2bo$b3o3b4obob2o3b6o3b6o5bobo3b2o3b2obo4bo3bo3b4obob5obob10ob2o2b
2ob2o3bob2o4b2o2bo3bob2o3bobobo2b3obo3b2obo4b3obobobo2bo3bo$3ob3o2bobo
2bob2ob2obo2b4obob2o2bob4obobob2obobo2bobob2o3bo2b2obob3obob2obo2bob4o
bobob3obo2bob2o2b2obob2o2bo2b2obo3b2o3bobob3o4bob2o3b2ob3o3bobob3o$2ob
4o2bo2bo4bo2bo2b2o3bob3obobob6o3b2ob2obobo3bobobobo3bob3ob2o7b2obobo2b
o3bo2bob3obo2b2ob2ob2ob3o5bo2bo3b2o2b2obobo3b2o2bobo3bo2bobo2bo$bobo3b
2o4b3o9b3o2bob2obob2obo2bobo3bo3b4ob2ob2obob2obobobob3o2b3ob6o2bobobob
2o3b3o3bo2b2o2bobo2bobob3ob2obobo2b2obobo3bo3b3o4b3obob2o$b2obo2bo3b2o
5bob2o4bobobob3obo5b2o3b3obo2bobobo4bobo3bo5bobo3bo4bobobobo5b3o2bobo
2bobo2bo2b4o2bo8b3o4b6ob2ob2o2b5obo2bo3bo$b2o2b5ob4o3bob7obobo3bo2b2o
4b2obobobo2bo3bobo2bo2b3ob2obo4b2ob5ob2obo2b2ob4ob2o4bo3b2o5b2o5bobob
2o4b3o2bobobobobobo3b7o2b2o$o2b2ob2obo2bo2b2obob5ob4ob2o4b2obo2b3o2b5o
bo2b3obo4b3obo3b2ob2o2bobo3b2obo3b2o2bobobo2bob2ob3o4b7o3b3obo3bo3b4ob
ob2obobobob2o3b4o$4obo3b2ob2ob3o2bobo2b4o3bobo2bo2b3ob2ob4obo3b2o2bo6b
2o2bo2b4ob2o2b3ob2o4b4obobob5obobobo4b5o2bob8ob5ob3o2bobob2o2bo2bo3b4o
$2ob4o3b2obo2bo2bo2bo3b4ob2o2bob2o2b5o7bob2o2b3o2bobo2b3o2bo2b8o3b2o2b
6o2bobo2bo9b2o2bo2b2o3b3ob3o3b2o2bob2ob3ob2obo2b2o2b6o$4o5b2ob4ob2o2bo
5bo2bo4b4o2b2ob2ob2ob4obob2obob3obob5o2bo5b3o2bobob2o2b2ob2ob5obo7bo5b
o2bob4o2bo3b2o3b4ob2o2bob3obo2b3o2b3o$3o3b2o2bob9o4bob2ob2ob2obo2bo2bo
b3o3bob2obo2b2obobo2bo2bob2o3bo2b3o3bob2o4bob4o2b2o2bobo5b5obob2ob2ob
3o3bo3bobo2b3obo8bobob3ob3o$4obob2o2bob5o4bob4obobo2bob6o4bo2bob7o4bo
2b2ob2ob3o2bo5b2o3bo2b3ob2ob2obob2ob4o2bo4bo2b2o4b2o2bo4bo2bob3o3bo4bo
bob4o3bobobo$ob4o3b2o3b3ob3obo3b3obo2bob5o5b2o3b2o2bo2bobob2o2b4o3b2o
2bo4bo3b3o2b6o2bo4b2obo9b3o3bob4ob3obob4o5bobobobobob4o2b2obo$2bo8bob
4o5bo2bo2bob2o2b2o5b2obo2bob3ob2ob2o4b2obobo5bobo2bobo2bo5b3obob2obo2b
o2b4obob5o2b3ob2o4bobo5bo3b2o4b3obo2b2obo4bo$2b2o3bob7obobob3obobo2b2o
3b2obobob2o2b4obo2bo2b2o5bobobo2bobob2obo5bob2o2b5obo2bo2bob2obobobo3b
ob2o2bobo2bobo2bob3o2bo5bobobo4b2o5b4o$bob5o2b5o4bobobob5o3b3obo5b2ob
4ob4obo2bo4b8ob3o2b2obo2b2ob2ob2o2b4obo2bobo2bobobobob2obo3b2o2bo2bob
2o3b2ob2ob2obo3b5obobobobo2bo$b2o3b3ob4ob3obo2bob2obobo8bo3b3o6bo4bob
4o2bo4b2obo2bo3bo2b4ob2o2bo3b4o4bo3b2o4b2ob2o2bo4bob8obob4ob2obo3b2o4b
obobo3bo$2bob4o7b3o3b5ob2o5bo2bobo2bo2b2o3b5o2b3ob2o2b2ob2o2bo4bobob3o
2bo5b2o2b3o5bobo2bob2ob4obo5b3o4bo8b3o2b2obo4b2o2bo$o2bo2bob4o9bo4bo3b
2ob6ob3o3bobobo2bo3bobo6bo2b4o3bo2bo2bob2o2b2obob2obob3o4bobo5bobob2ob
o3b3obobob3o8bo2bob2ob4o2b3ob3obo$4obo4b2o2b2o3b4obobob2ob2ob2obo2bo2b
ob2o3b3o2b2ob2obo3bo2b3obo4bo4bob2o2b2obobob2ob2o2bob8obob2obob3o2b4ob
ob2obob4o3bo3bo4bob2o2bo2bo$2ob2obo4b3o5b2o3b5o3bobo3b2obob2obobo2bobo
bobo3bob2ob2o3bo2b2o4b3o3b2o2bo2b3obo2bobobo5bo2b2obo3bobobob2ob2o4b2o
2b7o2bobo4b3o4bobo$o2bo2bo2b4obob4ob3o2b2obo4b3o4bo2b2o2bobo2bo3b3o3b
9obo3bob4obo2bob2obob6obob6o4b3ob2ob3ob3ob2obob2o2b4o2bob3o2bobo2b3o2b
3o2bo$o4bob5obob6o2bo3b3o2bobobobob2ob3obob2o2bob2o2b2obo4bobob5o2bo2b
o3bo2bo2b3ob6ob3o5bo9bo4bo4b4obob3obobobo3bobob2ob2ob2o3b2o$b3ob6o7b2o
4bobob4ob3o4b2o2bo3b2obo2b4o2b2o2b2obo2b2ob2o3bo2bo2b2o2bo3bob2o2b2o2b
4o2b6ob2ob2ob2obo3b2o2bob2o2b2ob2ob5o4b3o$2b3ob3o5b3o2bo2b3obo3bo3b4ob
obo2bo2b2ob3o2bob2o2bo4b6obo5b5o3b3obobo2bo2b2obo3bob2obob3ob2ob2obobo
b2o4bob2o3bo5b2o3b4ob2o4b2obo$b4ob3o3b2obo2bo3bo2b3o2b3obo5b3o2b2o2bob
ob2obob2obo2b2o5b2obo4bob7obob2ob3obo2bobo2b4ob2ob8ob5o2b2ob3o4bobob2o
2bobobob3obobobob2o$b2ob5ob3obo3bo2b2ob4o2b4ob4ob2o2bobob6ob2obob2o6bo
b2o5b3o2bob4o4bobo5b2obob3ob2o2bobo2bobo3b2o2b2ob2o8bo3b3o2b5ob2obo3b
3o$b3obob2obobo2bobob2ob2o3b3o2bob2o2bo3b4o2bo2b2o2bo10b3o4b3ob2ob2obo
2bobobo2bo4b2obob3ob2o3b3obo2bobo2bobo2bobo3bo2bobob2o2b3o2b3ob3o3b2o$
3obo4b2obo4bobo2b3o3bo5b2o2bo3b3o7bobo2b2o7bo4b2ob2obobo3b2o3b3o2bobo
3bobo2bob2o2b2ob3obob2ob3ob3ob5obobo2b2ob2o6bob2o3b3o2bo$2obobob2o3b2o
2bobob2o2b2ob4o2b4o3b2ob5o2bo2b2o6bo4b2ob4o2bob3obobobo2b3o4bobo2b2ob
4obo2bob2ob2obo3bobo6bob4ob2o2bob3obo2b3obo2b3o2bo$2o2b9ob2o2b3o2bo3bo
bob3obo2b2o2bobo2bob2o2b2o2bo2bo8bobobo3bo2bobo5b3ob4o2bo3b3obob6obo2b
2ob4o2b2o3bo2b2o3bo2bo4b2o4bobob6o$2b5ob3obo4b3obob2obob5o3b4ob2obob2o
b2ob2ob4obobo4bob2obo3bobo2bobob3obob3ob3o3bo3b3o4b2o5bo3bo4b5obo2bob
2o2b7o2b2ob2ob2ob2o2bo$3ob2o3bobo5bob3obob4ob3o3b2obo2bo2b2ob2o3bo2bo
2b2o4b2obo2bo2bo8b2ob8o3bo3bo2b2ob2obo2b2obob6ob2o2b2ob3ob4o3bo2b3o3b
2obo2bo4b2o$o5b2obo4bo7b2obo7b4ob6ob2obo4b2o5b2o2bo5b2ob4obo3bo3b3obob
o2b5ob3ob4o6bob3o3b2ob2o3b7o2bobobo2b3o2bob2obo4b2obo$2o2bob3o2b3o4bob
obob2obobo2bobobob5o2b2ob2ob2ob2obo2bo2bobo3b2ob3ob2ob2o4b2ob2obobobo
2b3o2bobo3b3o3b2obo2b3o2b2o2b2o3bobo2bob3obo4b3ob3obo4b2o$obob3ob2obo
2b2o4bob7o2bo2b5o5b3ob2o2b2o2b7o2b2ob2o4bobo2b2obo3bob3o4bo2bo3bobo4b
2ob3o3b7o3bo2bobob2o2b2o3b3o6bo3b3obob2o$2o6bo5b4o4b2o2bobob2o3b2obo5b
2o5bo2b3o7b2ob3o2bobo2bobobobo2b2o2bob2o2bobobob2o6b4o6bo2b2obobo8bo
13bo3b3ob2o2bo$2bobobobobob4obobo5b2o4bo5bo2b2o2b2o3b2ob2obo2bo3bob3o
3bo2bo6bo3b3obo2bobob2o2b2o3b4o2bo2bob2o3bo2bob2o4bo4b3o4bo2bo2bob2o2b
ob5ob3o$2ob2ob2o2b5obo4b3o2bobo3b2o2b2o3bo2b3o2b4ob4obobobob3o4bo2bo6b
2obo9bobob2o2b2ob4ob4obo3b3ob4obob7o4b2ob2obo2bo3b2o2bobo2b2o$2b3ob2ob
3obo2bo4bo6b3obo3bo2b2obobobob4o5bobo4bob3obob2ob3obo3b2o2bobo7b2o3b2o
b6ob2obo6b2ob2o2b3o2b2obo4b2ob4o3b2o6bob2obo$2bobob2o2b2o2bo2bobo2b3ob
3o2b3obo2bo3b6obo2b5obo4b2o4bobo2bobo2b2o4b3obo6bo2bob5obo2b2o2b2obo2b
2o3bob2ob3o2bob2ob4ob2ob2o4b3ob3obo2bo$bo2bo2b2o2bo5bo3b2o2b8obo3bobob
2o5bob3obobo3bobob3o5bo2b2obo4b2obobo2b4ob2o2b2o4bo3b2obobo2bob2o4b2ob
o3b2o2b2ob2o2bobo2b3o2b7o3bo$obo3b2ob4o6b2o3bobobobo2bo2bob2o2bob4obo
2bobobobob3o2b2o3bob2ob2obobob3o4bob2o2b2obo2bo2b3obobo2b5obo3b2o2b2o
2bo2bo2bob2ob2o2b4obo2bobo3bobo$bo2b3obo2b4ob7obo2bobo4bobobobo5b2ob4o
b3obo2b3o4bob3ob3ob3ob3ob2ob2ob2o2bobob5obobo3b2ob2o2b5o3b3o3bob7o6b3o
2bo6b2obo$bobobo2bo2bob3o3bo2b2ob3obobo2bobo2bobo2b2o2b2obobo3bob3obob
5o2b5ob2obob3obo2b3o2bo4b5obo3b5o2bobobobo2bob3o2b4ob6ob4o2bo2bob2obob
2ob2o$2o3b2obobo4b2o2bob2o3bo2b5o3b2o2bobobobobobobobob4o3bob2ob3ob2o
2bob2o3bob6obo4b3obobo2b2o6b2obo2bo2bob2obob3o2bob4obobob2o2b2ob6o2bob
2o$4obo2bobobo2bobobo2bo2bo3bobob2ob4o2bo5bo3b5obob2obo4b6ob2o5bob3ob
2obo4bo5b2o4b3obo3bobo2b3o4b3obo8bobo3bo2bo2b4o5b4o$2bo3b2ob2ob2o3bobo
bobo3bo2b3o3b2ob2o3b2o5bo5b4ob2o3bo4b2o2bo2b3obobob2obobob5o2b2o5b2o3b
ob2obobob2o2bob3ob2ob2obob6ob4o3bo3b2obo$o2bo2b2obo5b3obo2bobo2b2obobo
3b2o2bo2bo3b2ob2o4bobo3bo3b2obo2bo3bo2bob5o3bob2o2b3obo2b2obobobo9bobo
b4o3b2obobob3o2b2o6bo2bobob6obo$3bo3bob3obo2b2obo2bo7b3o3b2ob3ob4o3b4o
b2ob3o2bo5bo2bo2bob2o2bo2bo2b3ob2ob3o2b2o3b2o2b2o2b2o2bobo2bob5o2bo2bo
bo7b2obobob2o7b2ob2o$o3bo2b2o2bobobobob5ob2o2bo2b2obo2bo2b2o2b2o2b2o2b
6ob3o4b2obob2obo2bo3b3obo10b3o3b2o3bo3b3obo5b2obo2bo3bob2o6b2obobob2o
3b3obo4b2o$9o2b6o2bobob3o5bo2bo3bobo2bo2b2o2b4o2bo2bob3o2bo7b4o2b3o4b
2ob3ob3o2b3obo2b2obo3bob4obo5bob4o2b2o3bo3bo2bob3o2bob5obob2o$4o4b3o3b
5obobob3o2bob5o3b2o2b5obobob3ob3obo2b5obobo2b2ob3obobo4b3ob2obo5bo4b2o
4b2o2bobob2o2bo2b3o2bob2ob2o5b5ob2obob2obo$o4b2ob3obo2bo2b5obo3b8o2bob
obo3b2ob5ob3ob2ob3ob3obob6obobo2b4o2bobob2obo3b3ob2o2bob5ob5o2bo2bo4bo
bo2bo2b3ob3o2bob9o4b2o$4b2ob2o3bo4b2o2b5o3bobobob2ob2ob2ob2ob2ob4ob2o
2b6o4b3ob2obobo2bo4bobobob2o2bo5b3obo2bo2bobo2bo5b2o7bobobo5b3ob3o2bo
3bo2b2obo$2ob2o2bo2b3o3bob2ob2ob3obo2b3obobob2ob2obo3bob3ob2ob7obobo4b
3o4b2o2b2o3b2o4bob3o9bobobob2ob5ob5o2b2o8b6o2b3obobob4obob2o$3obo4b4o
2b2o2bo2bo5b2obo4bob2o6bo2b2o2b3o3b4ob3o2b3o2bob6o8bobo3bo2b4obob2obo
3b2obo2b2o6b3obo3bob3o2bo3bobo2bo2b2o5b5o$4o3bo5b2o2b3ob3o4bob4o4bob7o
bo6bob2o4b3o4bo2bo3bo5b3ob3o6b2o2bo4bo6b4o2b4ob2o4bo2bob4o2b2o2bobobo
3b3obo2b3o2bo$2b3o7b2obo4bob2o3bobo5bob2ob5ob2ob6o6b4o2b3obobobo2bobob
o2b2o2b3obo2bo2bo3bobo7b3o6b2ob2o4b4ob3ob2o3bo2b2ob5obobob3obo$b3obo5b
3ob5o2bo4bo2b3o2b3ob4o3bobo4b3obo2bobo2bobo3b3ob4ob2o5b2obo2b2ob2o2b5o
3bob6o3b2ob4ob2o2b4ob2o9bob2obobob5o2bobo$3o4b2obob3o4bob3o2b5ob2ob2ob
2obo2bobobo3bobo2b6o2bo3bo2b2o2b5obo4bo5bob3obob2obob2ob3obo2bo2bobo2b
o4bo4bo2bobobob2ob3o2bo4bo3b4obo$ob4obo4b2o2b2obo4b3o3b5o4bo2b2ob2o2b
2ob2ob3ob4o4bob2o3bobobob3obobobo2bob2o2b2o2b6o2b2o2bo2b3obo4b4ob2o2b
3o2b3o2b4o2bo2b2o3b2o3b2o$2b3obo3b4ob4ob3obobo2bobobo3b2ob2ob2o2bob4ob
o2b3o4b3obo2b3o2b8o2bobob4o5bo2b4o6b3ob3o4bob3o2b4o2bo2b2ob4ob4o2bob3o
bobo3bo$o2b2ob2obo3b2ob2o2bob2ob5o2bo5b4o5bobobobo4bo2bobobo2b2ob2ob3o
b2obobo4b3o2bobob2o2bo2b2o7b2o2bo3bob2o3b2o2b6o2bo3bo2bobobob2o6bo2b2o
$6b2obo2bo3bobobob3ob2obo4bobob2ob2o5b2obob3o7b2ob3obo2bo2bob4o3b4ob5o
8b3ob2o2bobo2b2o2bo5bob2ob2o6bo2b3o6b3ob4ob3o$3obobobo3b2o3b4o4bo2b4o
4b4o3b3o8b4o2b2ob3obo2b3o2bo2b2ob6obobo7bo3b2ob2ob3obob2ob2o2bob2obob
3o3bo2bobo4bobobob3o3bobo3bob2o$b2o5b3obobob3obo2b5o3b4o3bo2b4obobo5b
5o4b3obo2bob3obo3b4ob2obobobo3b2o2b3o4bo3b2obo4b4ob5ob2obobo4bobobo2bo
b2o3b8o2bo$b4obobob3obo3b3o3bob2o4b2o2b4ob2o4bo3bob2o5b3o8bobob2ob3ob
2obo3b2obo3b6o3bo2b5obo4bo2b2ob2obo3b3o4b2obo2b4ob3obo2b3o2b2obo$b2ob
3obobo2b2o2b3ob2o2b4obo2bo5b4o4bo3b2o5bob2o3b2o12bo3b2o3b2obob2o4bob8o
b3o2bobo4bo4bobo3bobobo4bob2o4b3o2bo2bo2bobo$2b2o3b2obobob2obo5b7o2bo
3bobob2obob2obob4obo4b2obo2bo2bo2b3o4bobob2ob5o4bob2o2b4o5b6o6bo4bo2bo
b5obo2b6o2bo2bobobo5b2obo$b6o3b2ob3o2b2o4b4o2b4ob3o2b2o2bo3b2o4b5obob
2obob8obobo5bo3bob4o3bob2obob3o5b2o3bo3bob3o2b2ob2obo2bobobo3b4o2bo4bo
2b2obobo$obobo3b8o3b5o3bo2b2obob2o3bob2o7bo2b3o2b4obob2obobob4o2bo3bo
6b5obobo2b2obo2bob2o4b2ob5ob4o4b2ob2ob4ob5ob3o4b3obo$3b3ob2o2b5obo3b2o
4b2o2bo2b2obo3b3o2bo2b6o2b7o4b3o2bo2b3o4b3ob2o6b2o4bobobobo2b2obob2o3b
2ob2ob2ob3o2b2o5bo2b4ob2ob2o3b2ob3ob2o$bo7bo3b6obo2b2obo2b4ob3o2bo6b2o
2bobobob3o2bobo3b4o4bob2ob3o2bo5bo3b2o2b2o3bo2bob2ob4o3b2ob2o2b4o6bo2b
o2b2o2bob2obobo2bo3bobo2bo$bo3bobobo3b5ob2ob3o3b2ob2o5bo2b3o2bobobobo
4b5o2b3obobo3b7o4b2o3b2ob2ob2ob4o3b3ob2o5b2obo3b3obobob2ob5o3b3o2bobo
3b4o3b2o2bo$bo2bo3b3obob5o2bo9b2ob5o2bo3bo3bob2o2bob2ob3obob2ob3o2bo3b
o3bo2bo3bo4bo2bo3b2obob2obo2bo2bob2ob2o4bobobobobo4bobo2b4o2bo2bobo2bo
2b2o2bo$b3obo2b2ob2o2b2obob2o2b4o2b4o7b2obob2o4b2obo2bob4obo2bo6bo2bob
3ob5ob3o2b2o2b4ob2o7bo2bo2bobo6b5ob3o3bob3o4bo4b2obo2bo2b2o$o4b2ob2o2b
o2bob2ob2o3bob3obo2bo2b3ob4obob5ob4o3bo2bobo2bob4o4b3ob2o2bo3bo2bo2b2o
bo2bobob2o3b6obobo2bo2bob4o8b4o4b3ob3o8bo$b5ob5ob2o4b7obo2b5ob2o5bo2b
2obob2o2bob2obo3b4o5bobo2bo2b2obob4obobobo2bob3ob3o2bo2b2obo3b2ob2ob6o
b2obo3b5ob3obobob2o2b4obo2bo$o5bo2bobob5o2b3obobo2b2o2bo5b5obo9b2obob
2ob3o2b2obo2bobo3bo3b2ob3o6bob6obo2b3ob2o2bob2ob4o2b3obob4o2bo3b4obob
2ob2o2bob3obo$obo4b3obobo2bo2b2o2bobob2ob3o2bobo4b5ob2o4b4ob4ob2o4b2ob
2obob4o2bobobob4o3b2o2bobobo3bo2bo9bobob2o2bobobo4b8o3bo4b3obob3o$b2o
5b5o2bo2b2obo2bo3b3o3bo3bo2bob2o2bobobobob2obo4bo3b4obo4bob3o2bo3bo2b
4ob2ob3ob3ob3obobo2b3o2bob3o2bob3o2b3ob6o5b2o2b4o2b2o2bo$2bobo4bobobob
2o2b3ob7obo2b2o3bo2b3o2b3obob2ob2o4bobo2bo4bo2b2obob2o2bo2bob3o2bobob
2ob3o3b5o3bo3b3ob4ob6o7bo3b4o2b2o2bob4o2b3o$bobo3b2o3bo2bob2o3b2ob6obo
bo3b2o4b2o2b2o4b2o3bob2o3bo2bobob2ob2ob2o2b4o2bobobobo4b2o2b2ob2obobob
ob2obob3obo4b4obobob2ob2o3b3ob2obo4bobobo$4obo4b2obo2bob2ob2ob2ob2ob5o
b3o2b2o2bobo3b2o4b4ob2o3bo3bobob2ob3obobobo4bob4o3bo2bobob2o2bobob2o6b
o4b2o3b8obo4b3o4bo6b2ob2o$2b2ob2o3b2obob3o2b2o2bo2bobo2bobo2bobob2ob3o
b2o6b2o2b2obo2b6o5b4ob3obob2o3bo2bo3bob2obobo3b2o3bob2o2b2obob2o3bob3o
b6obobo3b2o3b3o2b2ob2o$b4o2b6o4bo4b6ob2obo2b4ob3ob2ob2ob3o3b2o2b2obob
8o2b4o4b3o2bobo2bo2bobo4b2o3bobobobob3obob3o2b2obo9b3o3bob2obobo2b2ob
5o$11b5ob6obobo4b3o4b2obo5bo2bo2bo2b2ob3o2bobob2o4b3ob3o2bob8obob2ob3o
2bo2bo2b4ob2ob3ob4o7bo2b2ob2obob3ob2o2bo2bobo5b2o$2b2ob2o4bob3ob2o2bo
2b3o2b4obobobo2b2ob3ob2o3bobo2b2o4bo2bo2b4o3bob5o4b3obob2ob5o3bobob2ob
ob6obobo2bo4b6obo2bob2ob4o3bo2b5o2b2o$2o3b2o2bob5ob2obobob2obo2b3ob2o
2bob4o6b2o4bo2bob2ob4o2bobob2ob2o2b3obobo2b6o2b3o3b2obo5b4o2bo3bo4bobo
4bob2ob4o3b2ob2o4bob5o2bo$2bobo3bobob3obob2o2b2obob3o2b2ob9obob6o2bobo
2bobob3o4b2o2bo2bob6o2b2o2b5o5bo4b3obo3bobobo3b3o9bob2ob2obob4o6b3o3b
2obo$bob3ob2o2b5o3bo4bobo2b3ob2o3b3ob3ob2o2b3ob2ob3o3bo2b2o2b2o3bo4b3o
bo2bob2ob4obo2bo5bo5b2o3bo3b2ob2o2b2obobo6b2ob3o2b2obo2bo2bo3b2o2bo$3o
4b2obo6bo3b2o2b3obo4b2o4bobobobobobo4b3o3bo2b2ob2ob3obobobobo2b2o2b3o
5bobobob3ob3o6b3obobobob4o3bo2b3ob5o2b3obobo3b2o2bo2bo2bo$2b2ob4o6b4ob
o4b3o3b3obo4bobob2o2b2obob9o3bo2b3obo3b4o2bo3bo3bobo2b3ob3o3bo4b2o2b2o
b6obobo4b5o3bo3bo2bo4bo4bobob5o$3ob2ob3obo2bobo4b2obobobo4b6o3bobob5o
3b4o2bob2ob2o3bo2b5o2b2obobob2obo2b3o2bo4bo3b9obobo3b2o2bo3bo2b2o4bob
4ob2ob2obo2bo2b2o4bo$b3o2bob2ob2o2b5ob3ob2ob3ob4o2bob2obobob5ob7o2bob
4obo2bob2obob5obo2bobobo4b4ob4ob4o2bobo2b2ob4ob2ob4o2bo2b2o3b7o2bob5ob
o3b2o$4b3o2b2ob2o2bo3bobob5o2b3o3b7o2b7o3b4ob2o3bobo3b2obobob7obobo6bo
2bob2obo2b2o3bo2bob3obo7bo2b2o2bo2bo3b4o8b2o3b3ob2o$2b2o2b3ob4o2bobo2b
2obo2bob2o3bo4b2o2b8o2b2o2bobob2o2bo3b3ob2ob2o2bo2b2ob3o3bobo2bobobo4b
o2b3obob4obob2o3b2o3b2o2b4o2b2o2b2o2b2o2b4o2b2obobo$ob2ob4o4b2o7bobo2b
obo2bo2bobo2b2ob2ob2o3bob3o3b5o2bobobobobobo3bob2o10b2o2b4obob2o2b2ob
2obo3b2ob2o2b2o4b2o2b3obo2b4o2bo5b2ob2o2bo$o2bo2b2obobobobob2ob2o3b2ob
obob2obobo2bobobo2bob3o6b2o3b2ob2o2b4o2b4obo2b8o3bob3ob4o3b3o2bobob2ob
2obo3bobobo2bob4o2bo2bob3obo3b2obo3b2o$2b2ob4obo3bo5b2o2b2o3b5o2bob2ob
5obob3o2b3obobobob2ob5obo6b2obo6b3obo2bo3b3o2b2o2b2o2bob2ob4o2bo5b2ob
4obobobobob10o3b3ob2o$2ob3o3b3o2bob8ob5o2bobobo2b2o2bobob5o3bo2b2ob3ob
o2b3obob3o9bobo2bo2b2o2b2o7b2o2b2o4bo3bo2b2o3bobo3b2obobob4obobobo3b2o
b3ob2obo$3o2bob2o3b2obo4b2obo3b5o2b4obobobob3ob2ob2o2b2ob5o2bo2bob10o
3b3o4b2o3bo2b2o2b2o2b2o3b4ob2obob2o7b2ob4o2bobo2bobob3obobobo2bobo2bo$
b2obob2obob4o3bob2o3b2o4bobobo5b2obobo4bobo2b3ob2ob2o3bo2bo2bo2b6o5bob
o2b7o2bob7obobobo2b2o6b2ob2ob3o3b5obo4b3obobobob2ob3o$3ob4o2bob3o2bo2b
obo3bob7obo2b9o2b2o4b2o2bob2obobo2bob3ob7ob5obob2obobo4bo3bo3b3obo2b2o
b4o4bobobob2o3bo2bo4bobob2o2b3o5bo$b2ob5ob4obobo10b2obobobo2bo4b2o3bo
5bo2b6ob2o4b2o4b2o2b3ob2o3b2o2bob2ob2o2bo3b2o2bo2bob3ob2ob2o2bo2bo4b2o
3b2obob2o2b3o3bob4o4bo$bo4bo4b2o2bobob7o2b2obob2o2b2obo4bo4bo2bo2bob2o
b2obob3obo2b2o3bob3ob2o3bob2obobo4b3obo4b2o2bo2b2o2b5ob2obobo2b3obob2o
b2o2b3o3b3obo5bo$bob3o3b6obo4b10o4b2o3bo2b2ob3obo6b2o3b5obobo3b2o2b2o
3b3obo2b4o3b2obo4bo2bo4bobobo7b3obob3obobob2ob3o6bo2b2obob3o2bo$b2ob3o
3b2obo2b4o3b2o4bo3b2o2b4o3b3ob2obo2bo3bobo4b4obobobo4bo2bo2bo2bo2bob2o
4bobob2o4bo3b2o2bob2ob3obob2ob3ob6o2bo3b2o5bobob5o!

Electro_blob · Post by **Electro_blob** » March 1st, 2019, 3:12 pm

toroidalet wrote:I'm a bit confused about this new proposed challenge with regards to what a "region" is. For example, how many regions would this rule (posted here) have?
Code: Select all
x = 40, y = 40, rule = B3ai4acnr7c/S3i4-ceq5-jqy6ac7c8
bobobo2bob2o3b2obo2b3ob3ob2o3b3obo$bob2obob2o2b5o3bo2bob2o4bob2obo2bo$
5o2bob5ob2ob2o2bob2o2b2ob2o2bobo$3o2b3o5b2obo6bo6b2o2bobo2bo$b2o7b2obo
3b2obo3bo2b3o2b3ob4o$bob2o2b2o3b4ob2ob2ob2ob3o4b2ob4o$b3obo4bob2o3b3ob
o4bob10obo$6b3obo2bo2b6o2bo2bobo3bo2bo$b2o2b4o2b2ob3o3bo3bobo2bob6o$2o
4b3o5bob2obo2bobo2bobob2o3bo$2o5bo3b3o2bobo3bo8b2o3b2o$b2o4bob5o3b2obo
b2obo7bob3obo$bo3bo3bo3bo2bo6bo3bobobo4b4o$o2bob2o3b7ob3o3b4o5b3ob2o$b
2obo2b2ob2ob2o2b6obo3bo2b3ob3obo$2b2ob2o6bo2b2o2bobob2obob3o2b3o2bo$ob
o3bobo2b2ob2obo2bobo2bo2b2o4bo4bo$2ob2obob2ob2obo2bob4obob5obo6bo$b2o
2bob2ob2ob2obob3ob2ob3obob3o2b4o$b5o3bo2bo2bo4b2ob2o5bo5b2obo$o2b2obob
3o2b4o2b2obobo2b3o3b3o2bo$b4o2bo4b2o2bobobo3bob2o2bobob5o$b2o3b6ob4o2b
2o4bo2bob3o3b3o$7o2b2obobob3obob3obo2bobobobob2o$5obo2bob3o4b2o4b3ob3o
2bo2b3o$3obo3bobob2o2b4obobo3b3o5b3o$o4b3obobo3b2ob2o2b2o3bobobobobobo
bo$o2bob3ob2o4bo2bobob2o2bo2b2ob2ob4o$2obo2b5obo3b4o2bobobo4b3o4bo$2o
3bo3bob2obobobo4b2obob2obo2bo2bobo$2o3bob3o2bob3ob4ob2ob3o3bo2b3obo$2b
ob2obobo2b3o7b3obobo3b2obob3o$2bobob2o2bo2bob2o5bo2bo2bob4ob2o2bo$2bob
3o3b4o2b4obob2obo2bo2bo5b2o$obob3o7bo2b3obobo5b3o3b5o$ob4obo2bob3obob
3obo2bo3bobo4b2obo$obo3bo5b2o4bobob3o2b3ob2o2b4o$6b2o2b5o3bo3b2obo7b2o
bo$o2bo4bobob3ob5o2b3o5bo3b3o$2ob4ob3obo2b2ob3obo2bo2b6ob5o!
Is the stabilised Voronoi-diagram section considered equivalent to the chaotic section?
Is it the same region type as the gutter areas or the 100%-density area?
Are the areas with gutters considered regions or are they disqualified because they can only be extended in 1 direction?
If they are considered regions, would the orthogonal gutters and diagonal gutters count as different regions or the same one?
Is the main 100% density part a recoloring of the vacuum and so not its own region?
And so on...

Perhaps people in glass houses shouldn't throw rocks, but I can't offer a solution if I can't tell what's being asked.

Sorry I haven't responded in so long, but ya that would probably count. I was thinking of more of a toroidal world. I guess I forgot to mention that. But yes, this has sort of a line-like region, a homogenous region, and a chaotic region. That would probably count.

testitemqlstudop · Post by **testitemqlstudop** » March 1st, 2019, 6:49 pm

Find the most prolific isotropic non-totalistic rule under C1 symmetry, i.e. the rule with the highest (total objects)/(total soups) in Catagolue.
To be eligible, it must have at least 100K soups.

For benchmark, B3/S23 = 363720592619311/16650750356900 = 21.8440962013

Sarp · Post by **Sarp** » March 2nd, 2019, 11:04 am

Another Challenge: find the longest lasting 16x16 diehard in a isotropic 2 state rule.

Moosey · Post by **Moosey** » March 2nd, 2019, 11:28 am

testitemqlstudop wrote:Find the most prolific isotropic non-totalistic rule under C1 symmetry, i.e. the rule with the highest (total objects)/(total soups) in Catagolue.
To be eligible, it must have at least 100K soups.

For benchmark, B3/S23 = 363720592619311/16650750356900 = 21.8440962013

Creperie probably scores high given its gazillion natural p2s.

Post by **Ian07** » March 2nd, 2019, 11:49 am

Moosey wrote: Creperie probably scores high given its gazillion natural p2s.

He's talking about total objects, not total distinct objects. So Creperie actually scores relatively low at only 12982888/10473586 ≈ 1.236

The highest one I can think of is 38life, with an average of 568578728/1052000 ≈ 540.474 objects per soup.

Sarp · Post by **Sarp** » April 24th, 2019, 2:04 am

b3-cn6is234i has ~2000 objects per soup and runs at around 0.02 soups per second. Due to its speed I couldn't get up to 100k soups searched.https://catagolue.appspot.com/census/b3-cn6is234i/C1
Example soup (sim in golly)

Code: Select all

x = 16, y = 16, rule = B3-cn6i/S234i
2b2ob3obob5o$2b3o3bob3o2bo$b3o3b2o4b3o$ob3o2bobob3o$2bobob3ob6o$bob2ob
4obob3o$2obob3ob2ob3o$bo2bob3o2b3obo$ob2o2b5ob4o$2bo2bo3bobob3o$2b5obo
bob2o$4bo5b2obobo$2o2b3o2bo2bob2o$b2o4b8o$2bo3b6obo$2obo2bob3o3b2o!

Post by **calcyman** » April 24th, 2019, 11:18 am

Ian07 wrote:
Moosey wrote: Creperie probably scores high given its gazillion natural p2s.
He's talking about total objects, not total distinct objects. So Creperie actually scores relatively low at only 12982888/10473586 ≈ 1.236

The highest one I can think of is 38life, with an average of 568578728/1052000 ≈ 540.474 objects per soup.

If it weren't for the 'at least 100K soups' constraint, ae34ceit would have a score of 1386:

https://catagolue.appspot.com/census/b3s12-ae34ceit/C1

Those hauls were uploaded with an ancient version of apgsearch, so I have no doubt we can quickly push ae34ceit beyond the 100K soups threshold.

toroidalet · Post by **toroidalet** » April 25th, 2019, 11:01 pm

Why make a "natural" diehard when you could not? (4897)

Code: Select all

x = 16, y = 14, rule = B2in3-cky4ciqrtz5ey6ac/S1c2aek3-acky4t6i7e8
2o$obo$3o$bo$3b2o$4bo$4bo$3b2o9b2o$4bo10bo$15bo2$15bo$15bo$14b2o!

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