Find a rule game

A forum where anything goes. Introduce yourselves to other members of the forums, discuss how your name evolves when written out in the Game of Life, or just tell us how you found it. This is the forum for "non-academic" content.

Re: Find a rule game

@Sarp, I'll say that your Week 4 challege is a GREAT challege.
Plz correct my grammar mistakes. I'm still studying English.

Working on:

* Rule Y Orthogonoid

Favorite gun ever:
`#C Favorite Gun. Found by me.x = 4, y = 6, rule = B2e3i4at/S1c23cijn4ao2bo\$4o3\$4o\$o2bo!`
Hunting

Posts: 909
Joined: September 11th, 2017, 2:54 am
Location: Universe

Re: Find a rule game

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

Posts: 182
Joined: March 1st, 2015, 1:28 pm

Re: Find a rule game

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

Posts: 182
Joined: March 1st, 2015, 1:28 pm

Re: Find a rule game

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

Majestas32

Posts: 524
Joined: November 20th, 2017, 12:22 pm
Location: 'Merica

Re: Find a rule game

Because no new challenge has happened in a long time, I think somebody has to think of a new one????????????????????????
`x = 3, y = 3, rule = B26/S2|B358/S32o\$2bo\$obo!`
PkmnQ

Posts: 400
Joined: September 24th, 2018, 6:35 am
Location: Server antipode

Re: Find a rule game

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.
Electro_blob

Posts: 25
Joined: October 13th, 2017, 8:46 pm

Re: Find a rule game

I've got a solution for the previous challenge:
`#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/S1e2k3y4a6i5b5o2\$o\$o\$obobo\$o\$o\$5b5o!`

According to Golly it lasts
`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):

`#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/S1e2k3y4a6i7e6b3o\$5bo3bo\$7bo2\$7bo\$o\$o6bo\$obobo\$o6bo\$o!`

`#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/S1e2k3y4b5o2\$6bo2\$o5bo\$o\$obobo\$o\$o!`
`x = 11, y = 5, rule = B2ck3-ij5n78/S01e2ei3-k5ai8b2o\$2o3b2o\$bo4bo3bo\$2bo2b2o\$o7bo!`

(Check Gen 2)

toroidalet

Posts: 936
Joined: August 7th, 2016, 1:48 pm
Location: my computer

Re: Find a rule game

toroidalet wrote:
`#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/S1e2k3y4b5o2\$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.
What do you do with ill crystallographers? Take them to the mono-clinic!

calcyman

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

Re: Find a rule game

These methuselahs are amazing
Sarp

Posts: 182
Joined: March 1st, 2015, 1:28 pm

Re: Find a rule game

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?
`x = 40, y = 40, rule = B3ai4acnr7c/S3i4-ceq5-jqy6ac7c8bobobo2bob2o3b2obo2b3ob3ob2o3b3obo\$bob2obob2o2b5o3bo2bob2o4bob2obo2bo\$5o2bob5ob2ob2o2bob2o2b2ob2o2bobo\$3o2b3o5b2obo6bo6b2o2bobo2bo\$b2o7b2obo3b2obo3bo2b3o2b3ob4o\$bob2o2b2o3b4ob2ob2ob2ob3o4b2ob4o\$b3obo4bob2o3b3obo4bob10obo\$6b3obo2bo2b6o2bo2bobo3bo2bo\$b2o2b4o2b2ob3o3bo3bobo2bob6o\$2o4b3o5bob2obo2bobo2bobob2o3bo\$2o5bo3b3o2bobo3bo8b2o3b2o\$b2o4bob5o3b2obob2obo7bob3obo\$bo3bo3bo3bo2bo6bo3bobobo4b4o\$o2bob2o3b7ob3o3b4o5b3ob2o\$b2obo2b2ob2ob2o2b6obo3bo2b3ob3obo\$2b2ob2o6bo2b2o2bobob2obob3o2b3o2bo\$obo3bobo2b2ob2obo2bobo2bo2b2o4bo4bo\$2ob2obob2ob2obo2bob4obob5obo6bo\$b2o2bob2ob2ob2obob3ob2ob3obob3o2b4o\$b5o3bo2bo2bo4b2ob2o5bo5b2obo\$o2b2obob3o2b4o2b2obobo2b3o3b3o2bo\$b4o2bo4b2o2bobobo3bob2o2bobob5o\$b2o3b6ob4o2b2o4bo2bob3o3b3o\$7o2b2obobob3obob3obo2bobobobob2o\$5obo2bob3o4b2o4b3ob3o2bo2b3o\$3obo3bobob2o2b4obobo3b3o5b3o\$o4b3obobo3b2ob2o2b2o3bobobobobobobo\$o2bob3ob2o4bo2bobob2o2bo2b2ob2ob4o\$2obo2b5obo3b4o2bobobo4b3o4bo\$2o3bo3bob2obobobo4b2obob2obo2bo2bobo\$2o3bob3o2bob3ob4ob2ob3o3bo2b3obo\$2bob2obobo2b3o7b3obobo3b2obob3o\$2bobob2o2bo2bob2o5bo2bo2bob4ob2o2bo\$2bob3o3b4o2b4obob2obo2bo2bo5b2o\$obob3o7bo2b3obobo5b3o3b5o\$ob4obo2bob3obob3obo2bo3bobo4b2obo\$obo3bo5b2o4bobob3o2b3ob2o2b4o\$6b2o2b5o3bo3b2obo7b2obo\$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.
`x = 11, y = 5, rule = B2ck3-ij5n78/S01e2ei3-k5ai8b2o\$2o3b2o\$bo4bo3bo\$2bo2b2o\$o7bo!`

(Check Gen 2)

toroidalet

Posts: 936
Joined: August 7th, 2016, 1:48 pm
Location: my computer

Re: Find a rule game

toroidalet wrote:
`#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/S1e2k3y4b5o2\$6bo2\$o5bo\$o\$obobo\$o\$o!`

Wow, in this rule I got an exponential fuse-based methuselah just from a single random soup:
`x = 166, y = 171, rule = B2ei3cikqr4aetz5cr6i/S1e2k3yb2obob2ob2ob2obo2bob2o2bo8b4ob2obob5o3b2obo2bobob3ob2o3bobo2b3ob2obo2b2o3bo5b2o2bobobob8o2b2ob2o4b6obob2obob2obo4bobob2obob2o4b4o\$o5bob2ob2o4bo2bob6o3b2o3b2ob4ob6ob3obo2bob3o2bo2bo5b2obo2bo3b2o3b2obob3obo5bo2b2o2bob3obo5b2ob13obo6bob2o5b2obo4bo\$3b3obo3bob2ob2o4b2o3bobo2bobob2obobo2b2obo2bo8b6obo4b2o2b2ob3obob2obobobob2o2b2o2b3o3bobobo5bo8bo2b2o3b3o4b3o2bob3o3b3ob3obo\$obo3b3ob6o3b2ob3ob2ob2o3bobo2b3o2b5ob3o2b6obo2bob6o7b5ob4o3bo4b2o3b5obo4b2o4bo2bobob2o2b5o2bo2bo3bo2bob2o4bob3ob2o\$b2o2bo3bo3bobo2bo2bobo2bo3b2obo5b4obob4o2bo2bo2b2ob5o2b2o2bo2b2o3b4ob4obob3o4b2ob3obobobobo2b3ob2ob6ob6ob2o2bo3bo2b2obo3b2o2bo2b5o\$obob3o3b3o2b2o3b5obo2bo6bob2ob4obo2bo2bobo4b3obo2b6obob2obo4b3ob4ob7obobob3o6bobo2bob2o4bob2o3bob3o2b2obo5b3o3bo4bob3o\$obo2b3o3bo7bobob4ob2ob4o4bo2b2obo3bo2b3ob3ob4o3b4obo2b2obobobob3o2bobobo3b3obo3bo2b2obobo3bo2bob4o2b2o2bo3b2obo3bo2b3o3b5o2b5o\$bobo3bob4o3bobo3b2ob3obo5b2o2b2o3bo2bo2b3ob5o3bobob3o2bobo2b2o2b2o4b2o2b4obo2bobo2bo2bobobobo2b2o2b2o2b2o2bo3b6obobo2bo3b3o2b2o2bo2b4ob2o\$3bobob3obob2o2b2o2b3ob3o3b2ob4obobobob2obobo6bob7o3bob2o3b2obo3b3obo2bob3obob2o3b2obo2bo12bo2b3ob2o7b3ob4ob2obo2bo2b2obobo2b2o\$2bob3o6bob3o4b5o3b3obob4obob5o3b3o3b2obo2b3o4b3o2bobo4b6ob3o4bobobob3o4b2o3b4o3b4obobo6bob2o9b2o2b6o2bob3o\$b2ob2o3b2o2b3o2bobo5bob2ob2o3bo2bo3b3obo2b4obob7obob4o4b2obo2b2ob2o2bo5b6o2b2ob2o3bo3bo3b3o2bo2b2obob4ob3o6bobob2ob3ob3o2b4o\$o3b2obo2bo3b2obobob2obo2bobobob2o2bob2obob3obo2b2o2b2ob2o3bobobob3o3b2o2b5obobo3bobobo2b4o3bo2b5o2b2obo4b2ob2o2bob3o2b2obob4o2bobo3bob2ob3o2bo\$2bo3b2o2b2o2bo4b2ob2obo3b2obo5b2ob5o3b2o4b2o2b9ob4o2bo4bobobo2bob3ob4ob2ob3ob2ob4o5bo2bo10bo3bob7o2b3ob2obo3bobo2bob2o\$3b3obobo6b3o3b2ob3o2b3obo2bob3ob3o8b4o2b2o2b4o4b2obob2o2b2o3bo3b6o7bobobob4obob2o2bo2b4o2bob2ob2o2bo5b4o2b3o4bo2bob3o\$bo2b3ob3o4b2o2b4ob2o2b5o5b2o3b4ob2obo3b4obobobo3bob2o4bob3o2b4o2b3o4b3o2bo4b2ob2ob2o2b2ob3o8b6obo3bo6bo2b2o2bob2o2bo2bo\$b2ob5o3b4o3bobobob3o2bobo3bo2b7ob2o4bo7b2o3bo2bobo2bobo2bob2o2bo2b2ob2obobobobob5obobo2bo2b2ob2ob2o3b4o4b4obob2o3bo4bobo2bobo4b2o\$bob2o3bo3bo5bobo2bobo2b3o2b2o4bobo3b4obobo6b2obo4bo2bob3o4b4o2bob6o2bo3bob4o6bo2bob2ob5o3bob2o3b4o2bob2ob4o2b4obobo2bobo\$o2b2ob5ob3ob3obo4bobobob3o4b2o2bo2bo4b2o4bo2b2obo10b6obob2obo2b4o2b2o2bo2b2ob4ob2obo2bo5b3o3b4obo2bob3o2bob2o2b3ob2o3b2ob2o2b2o\$9ob2o3b4obobob2obob4o3b2ob3obob2o3b2ob4o2b3o2b6o4b2o3bob7o3b3ob2ob2o2b2ob3ob3o2bob7obobob2obo2bob5obob2obo2b2ob2ob2ob5obo\$2ob3o2b2ob4obob2o2b2o2b4o2bo2bo5b3ob5obob2o2b2obo3b2o3b2o3bobo3b6obo3bob5obo3b5o8bo2bobobob2o2b8o2b3ob2o3b3o2bob4o5b2o\$bo2b3obob3o2bob3ob4o2bobob2o4bobob2ob3obo2bob4obobo2bobo2b4obobo2b2o2bo3b3o2b2o2bo3b3o6b3ob2obobobo2b4o3b3o2bo2b2ob3ob9ob2o2b2o\$bo2bob7o2b4ob2o2b2o3bob2o2bo3bobo2b7obob4obob2o2b3obob3o2b3obo2b3ob3o3b2ob2o2bo8b4o4bo4b2o2bob2o3b8o2b4o2bob2obobo2bo2b2obo\$4obo9b6obo3bo2bo2b2o2b3ob2o2b2ob3o6bo2bo2b4o2bobobo2b3ob4ob6ob3o2b2obo3bo2b6o5b2ob2obo2b3ob5obo5bob2o2bo3b2ob3o\$b3o2b2obo4bob2obobobo4bob3obo3bob7ob4obob3o3b2obo4b6o2bo5b3ob2o3bo3bo2bo2bob4o6bobo2b3o2b3o2b3ob4ob3o3b7ob2obobo5b3o\$o4b8ob2obob2o2b3o2b3ob3o5bo2b3o2bo4bob5o3bo2bo4b3o2bobo3bob5ob2obo2bob3o4bob2obo5bobo2b2o4bob4obo2b2o4b2obobo2b2obob2o2bo4bo\$6b2o3b2o4b2o4bo2bo2bo3b4o4bob5obob3obo2bob3o3b4o3bo9bo8b6o2bobobobob2o5b2o2bobob4o3bo3bob3ob7o2b2obob4o4bo2bo\$obo2b3ob3o2b2o5bo3bo2b3obo2bobo3bo3b3o2bob6ob4obobobob2ob6o4b2ob6obo3bob4ob3o2bo5bo2b2obo2bo2b2obo2bobob3obo2b2o4bob4ob3ob2o2bo\$5bo4b2o2bo4bo5b4ob6obob2obobo2bobob2o2bobobo4bo3bobo3b2obo6bo2b4o2bo5bo2bob3o2b5o2bo3b3ob2ob2o3bobobob4o2bo3b5ob2obob2o2bo\$b2obo2b2ob2o2bo2bob7o3bo2bobo2bo4bobo7bo2bo6b5ob2ob3ob3o2bob4o2b2o2bobo2b2o2b6ob2obo3b6obo4b2o3bo3b2o4b2o5bob4o2bo2b2o2b2o\$b2o2b3ob6ob2o2b3o3bobob3o2b4ob2obobo2bobo3b3o4bo2b2obobo2b3o2bobobo2bobob2o2b2obo2bo2bo4b2o2b2o3b2o2bo4bob4o3bobo2b2obo2b2obo2bo2b4obobob3o\$3ob2o3bo3b2obob9o3bob2o3bob2o5b4obo2b6ob5o3b2o3b2obob2ob4o3bobo4bob4o2bo3b3o2bo2b4obobo4bo4bo2b4o2b3ob2obo3b3ob2obo2b3o\$2obobobo2b2o2b5o3bobobobob4obobo2b2o4bo2b2o2bobobo2b3o4b2o3b2obo4b2ob6obo6bob2o3bo6b3ob2obo3b4obobob3o3bob4o2bo2b3o2bo3bo2bo2bobo\$o2b2o2b4obobob5obo3b5o2b4o9b4obo3b2ob5o2b5o2bo2bob3obob3o3b2obo2b4o3b6ob2ob2obo6bo2bobobob5ob2obo2b2ob4o3bo3b2ob2ob3o\$o2bo2b2o2bo3bo6b4o2b2o2bobo2bobobo2bob2obo6b2o2bo2bob2obobo3b2o2bo3bo2b3obo3bo5bo2bobobobo2bo2bo2b3o2b2o4bo2bob3o2b4ob4o3b3obo2bob3o\$5bo2bobo5b2o2bo3bobo2b2obob2ob2ob2o2b3obo2bo3b5o2b2o2b2ob4obobobobob3obo3b3o3b2o2bob2ob2ob2ob4ob2o2b2obo2b2o2b5o2bo3bob2obobobo4b10o\$2obobo3b2o2b2obob2ob2ob2obo4b2o2bob2obo2b2o2b2obob3o3bo2b2o8b3ob2obo2b4ob2ob2ob2ob3obo2bobobo5b2obobo2bo2b2o4bo3bobob3ob2o2b3o3bobo2b2ob2o2b2o\$b5obo3b2ob3obo4bobobo5bob5o4b2ob2o2bobo2b2obo2b4obo4bo2b6o2bo2b7o2b2o3bo4bobobobo2bobobo5bob3ob2obo3b2ob4o2b5o2b3obobobo2bo\$3ob3ob3o5b3o2b2obob2obobob2obobob4o4bob2obo2bo2b3ob2o3bob3obob4obo2b3obob3obobob2o2bo3bo2b5ob2o2bo5b2obo2bo2b3o2b2o2bobob3ob2o2bobo3b2obo\$ob4ob5o2bo2b2o3bo2b5o3b3ob2o3bob2obob2obobob2o4b3obo2bo3bob2o2bo3b7o2bob3ob3ob2ob2o2b6ob4o2b2obob3o2b2o2b3o2b4o2b3o6bobob3o\$2bo4b2o4bob2ob3ob2o5b3o3bob3o2bo3bo4bo2bob4obobo2bo2b2o2bob3o2b7o2bo3b2obo2b3ob2o3bo2b3o3b2o2bobobo2b2ob2o2b2obobob3o2b6ob2o7b3o\$3bo3bobobob2o3b4obob7ob2obo3b4o2b2o2b4o2bo2bob2ob4ob2o2bo2bob2o2b3obo2b4ob4o4bob2o2b4ob4o2b2o5b2o2b5ob3o2bob2o5b4ob5o2bo\$2bob2ob3o12b2o3b6o2b2o2b3o2bo6bobo5bo3bobo2bo2b2ob9o2bo2bob2obo2b4o3bo2bobobo2bobo2b2o2b5o2b5ob2o2b8o3b3o2bo3b2o2bobo\$bo4bobobobo2bob3ob2ob2ob5o2b4ob3o4b3obob8ob5o3bo2bob2o5bo3b2o4bob3ob2obo4bo2bo2b2o2bobobob2obo2b3o2bo2bo4bobobo2b2obo2bo4bo5b2o\$ob2ob5obo3bobo5bo3b2o4bobo2bobobobo2b2o6b2obob4obo5bob7ob4o2b2ob2ob4ob2o3bo3bo2bo3bobo4b7obobo3bob2obob2ob3obo3bobob5obobo\$o2bob2ob2o2b3ob4obob2o8b3obob3ob2o2b3obobo2b4ob2obob2o2b2o2b2o3b3ob2ob2o3b2ob2o3b2ob3o2bo4bo2b2ob4ob3obob4ob2obobo3b2obobobo2bob3o3bo3bo\$7bo2bob2o3bo3bob2obobobobobo2b2o3bobobobob3o2b3o3bobo2bo2b10obob5o4bobob6o4bo3bobob2o2bobo3bob3o3b3ob7o2b6obobob4ob2o\$o2b2o3bob2obobob2ob3obobo3b7o3bobobo2bob2o2bobobo2b3obo2b3o2bob5o2bo5b5obobo5b3obo2bo3bo2bob2ob2obob3o2bo4b2o2bo5bob2o2bo5bo3bo3bo\$5b2o2b2ob2o2b7ob3o3b4ob2ob4obob2obob3o2bobobo2b2o4bob3o5bo2b2o2b6ob2ob2o2bobobob4ob2obob2ob2obob3obo2bobo2b3ob2ob2o2bobob6obob2o\$3bo2bob2o2b2o3b2o4b2ob8obobo5bo3bob2o2b2obobo2bob5obobob2o2b2o4b3o2bobob2obo10b2o2bo3b2o5b3ob3o3b2obo2b3obob2o2bo2bo4b2o4bobobo\$bobo2b2obo5bo3b6o3bo2b3obob4o2b3ob3o2b4obo4b2o3bo2bo2bobo5bo2b2o3b2o2bo3b2ob2ob2o3bo5b3o2bob2obobo2bob2obo2bobo6bo2b2o2bo3b2o4b2o\$2o2bobobo2b2ob3obobo3bo3b2o2bob2ob2ob6o3b4o8bo3b2o3bob3o2bo2bob2ob3o2bo4b5ob2o3bo2bo2bobob4ob3ob2o4b3o3b2o2bobobo2b2o6bob2obo2bo\$5obo2b3o2bo2b2o2bo7bobob2o3b6o3b3obob2o2b4o5b4o7bo2bobobobobob2o3b3ob7o2b3o7bobo2b2o3b2ob4o2b2o5bo4bo4b3o3bo3bo\$2ob5o2b2ob2o6bo8b2obob3o6bo6bobo4b2ob4o3b4ob2o2b4ob2ob6ob3o2bob3o2b2o4bo2bo2b2ob6obobo3b4obob3obo4b4o2bobo4b2o\$ob3o3b2o2bo2b2ob2o2bobobo2bob2o2b4obo2b3o3bob2ob2o2bo2bobo4bob3o3b6obo2b2ob2obo3bobobob2obobobob3o3bobo2b5ob2obo2bobo2b2ob4o3bo3bo2bo2bo5bo\$2bo3b3obo2b6ob3ob7ob3o2bo3b3o2b2o3bo4b3o7b4o2b2ob2ob4o2b2ob3o2bo3bo5b2o2b5o7bob2obo4b3o5b4o3bo2bo2bob2o5bo2b2obo\$bo6bob3o5b4o5b3o3b2o2bob2ob2o4b2o3bo2b2obobob2ob6o2b5ob5o3bob2o2bo3b3o2b4o2b2o2bobo8b4obo2b4obobo2b2o4bob2obo4b3o3b2o\$o4b2o2bobo2bob4ob2obo4b2obob4o4bo2bo3b5o9b2o4bo3bobobobo2bo3bo3b4ob3obo2bo2b2o2b2o3bo2b4obob2ob4obob4ob3o3b3o2b2ob2obo7bo\$bo2bobo2bo3bo6bo3b3o3b3ob2o3bo2bo2b2ob2ob6obo2bob2o5bobo5b3o2b2o2bobo10b2obo4bo2bobob3o6b3obob2o4bo3b3o2b3o4bob2o5bobobo\$o2b5o2b5obo3bobobo7b3o2bo2b2ob4obo2b5obob6ob5o2bo2b3obo4bo2bo6b5o3bob3o2b2ob2o2b3obo2b8o2bo3bob2ob3o5b2o3bob2ob5o\$2o3bo2b2ob2o4b3ob5ob2ob2o3bo5b3obo3b2ob2ob2obob4ob5o3b2obo2b3obob4ob2o2bo2bo2bob2o3b2ob2obo4b2o2b2o3b2ob2o3bob2o2bobob2ob4o3bo3bo2bobo\$3b5obo3bo2bo4b2obo3bo4bob3ob2obo4b2ob3o2b2o2b2o2b3obob2o3bo2bob6o2b2obobobo5b3ob3ob2o3bo3bob2ob2o5b2o3b3o2b7o4bo4bo2b7o\$3ob3o4bob2ob6o3b2o4bob3ob2ob2o3bobo3b2o3bo2b2obobo2b3obo3b2o5bo3b2obo2bo2bo2b3o2b5o2b2obob2o4b3o6bo2b2o4b3obobo3b2o2b2o2bobob2o2bo\$b3o3b4obob2o3b6o3b6o5bobo3b2o3b2obo4bo3bo3b4obob5obob10ob2o2b2ob2o3bob2o4b2o2bo3bob2o3bobobo2b3obo3b2obo4b3obobobo2bo3bo\$3ob3o2bobo2bob2ob2obo2b4obob2o2bob4obobob2obobo2bobob2o3bo2b2obob3obob2obo2bob4obobob3obo2bob2o2b2obob2o2bo2b2obo3b2o3bobob3o4bob2o3b2ob3o3bobob3o\$2ob4o2bo2bo4bo2bo2b2o3bob3obobob6o3b2ob2obobo3bobobobo3bob3ob2o7b2obobo2bo3bo2bob3obo2b2ob2ob2ob3o5bo2bo3b2o2b2obobo3b2o2bobo3bo2bobo2bo\$bobo3b2o4b3o9b3o2bob2obob2obo2bobo3bo3b4ob2ob2obob2obobobob3o2b3ob6o2bobobob2o3b3o3bo2b2o2bobo2bobob3ob2obobo2b2obobo3bo3b3o4b3obob2o\$b2obo2bo3b2o5bob2o4bobobob3obo5b2o3b3obo2bobobo4bobo3bo5bobo3bo4bobobobo5b3o2bobo2bobo2bo2b4o2bo8b3o4b6ob2ob2o2b5obo2bo3bo\$b2o2b5ob4o3bob7obobo3bo2b2o4b2obobobo2bo3bobo2bo2b3ob2obo4b2ob5ob2obo2b2ob4ob2o4bo3b2o5b2o5bobob2o4b3o2bobobobobobo3b7o2b2o\$o2b2ob2obo2bo2b2obob5ob4ob2o4b2obo2b3o2b5obo2b3obo4b3obo3b2ob2o2bobo3b2obo3b2o2bobobo2bob2ob3o4b7o3b3obo3bo3b4obob2obobobob2o3b4o\$4obo3b2ob2ob3o2bobo2b4o3bobo2bo2b3ob2ob4obo3b2o2bo6b2o2bo2b4ob2o2b3ob2o4b4obobob5obobobo4b5o2bob8ob5ob3o2bobob2o2bo2bo3b4o\$2ob4o3b2obo2bo2bo2bo3b4ob2o2bob2o2b5o7bob2o2b3o2bobo2b3o2bo2b8o3b2o2b6o2bobo2bo9b2o2bo2b2o3b3ob3o3b2o2bob2ob3ob2obo2b2o2b6o\$4o5b2ob4ob2o2bo5bo2bo4b4o2b2ob2ob2ob4obob2obob3obob5o2bo5b3o2bobob2o2b2ob2ob5obo7bo5bo2bob4o2bo3b2o3b4ob2o2bob3obo2b3o2b3o\$3o3b2o2bob9o4bob2ob2ob2obo2bo2bob3o3bob2obo2b2obobo2bo2bob2o3bo2b3o3bob2o4bob4o2b2o2bobo5b5obob2ob2ob3o3bo3bobo2b3obo8bobob3ob3o\$4obob2o2bob5o4bob4obobo2bob6o4bo2bob7o4bo2b2ob2ob3o2bo5b2o3bo2b3ob2ob2obob2ob4o2bo4bo2b2o4b2o2bo4bo2bob3o3bo4bobob4o3bobobo\$ob4o3b2o3b3ob3obo3b3obo2bob5o5b2o3b2o2bo2bobob2o2b4o3b2o2bo4bo3b3o2b6o2bo4b2obo9b3o3bob4ob3obob4o5bobobobobob4o2b2obo\$2bo8bob4o5bo2bo2bob2o2b2o5b2obo2bob3ob2ob2o4b2obobo5bobo2bobo2bo5b3obob2obo2bo2b4obob5o2b3ob2o4bobo5bo3b2o4b3obo2b2obo4bo\$2b2o3bob7obobob3obobo2b2o3b2obobob2o2b4obo2bo2b2o5bobobo2bobob2obo5bob2o2b5obo2bo2bob2obobobo3bob2o2bobo2bobo2bob3o2bo5bobobo4b2o5b4o\$bob5o2b5o4bobobob5o3b3obo5b2ob4ob4obo2bo4b8ob3o2b2obo2b2ob2ob2o2b4obo2bobo2bobobobob2obo3b2o2bo2bob2o3b2ob2ob2obo3b5obobobobo2bo\$b2o3b3ob4ob3obo2bob2obobo8bo3b3o6bo4bob4o2bo4b2obo2bo3bo2b4ob2o2bo3b4o4bo3b2o4b2ob2o2bo4bob8obob4ob2obo3b2o4bobobo3bo\$2bob4o7b3o3b5ob2o5bo2bobo2bo2b2o3b5o2b3ob2o2b2ob2o2bo4bobob3o2bo5b2o2b3o5bobo2bob2ob4obo5b3o4bo8b3o2b2obo4b2o2bo\$o2bo2bob4o9bo4bo3b2ob6ob3o3bobobo2bo3bobo6bo2b4o3bo2bo2bob2o2b2obob2obob3o4bobo5bobob2obo3b3obobob3o8bo2bob2ob4o2b3ob3obo\$4obo4b2o2b2o3b4obobob2ob2ob2obo2bo2bob2o3b3o2b2ob2obo3bo2b3obo4bo4bob2o2b2obobob2ob2o2bob8obob2obob3o2b4obob2obob4o3bo3bo4bob2o2bo2bo\$2ob2obo4b3o5b2o3b5o3bobo3b2obob2obobo2bobobobo3bob2ob2o3bo2b2o4b3o3b2o2bo2b3obo2bobobo5bo2b2obo3bobobob2ob2o4b2o2b7o2bobo4b3o4bobo\$o2bo2bo2b4obob4ob3o2b2obo4b3o4bo2b2o2bobo2bo3b3o3b9obo3bob4obo2bob2obob6obob6o4b3ob2ob3ob3ob2obob2o2b4o2bob3o2bobo2b3o2b3o2bo\$o4bob5obob6o2bo3b3o2bobobobob2ob3obob2o2bob2o2b2obo4bobob5o2bo2bo3bo2bo2b3ob6ob3o5bo9bo4bo4b4obob3obobobo3bobob2ob2ob2o3b2o\$b3ob6o7b2o4bobob4ob3o4b2o2bo3b2obo2b4o2b2o2b2obo2b2ob2o3bo2bo2b2o2bo3bob2o2b2o2b4o2b6ob2ob2ob2obo3b2o2bob2o2b2ob2ob5o4b3o\$2b3ob3o5b3o2bo2b3obo3bo3b4obobo2bo2b2ob3o2bob2o2bo4b6obo5b5o3b3obobo2bo2b2obo3bob2obob3ob2ob2obobob2o4bob2o3bo5b2o3b4ob2o4b2obo\$b4ob3o3b2obo2bo3bo2b3o2b3obo5b3o2b2o2bobob2obob2obo2b2o5b2obo4bob7obob2ob3obo2bobo2b4ob2ob8ob5o2b2ob3o4bobob2o2bobobob3obobobob2o\$b2ob5ob3obo3bo2b2ob4o2b4ob4ob2o2bobob6ob2obob2o6bob2o5b3o2bob4o4bobo5b2obob3ob2o2bobo2bobo3b2o2b2ob2o8bo3b3o2b5ob2obo3b3o\$b3obob2obobo2bobob2ob2o3b3o2bob2o2bo3b4o2bo2b2o2bo10b3o4b3ob2ob2obo2bobobo2bo4b2obob3ob2o3b3obo2bobo2bobo2bobo3bo2bobob2o2b3o2b3ob3o3b2o\$3obo4b2obo4bobo2b3o3bo5b2o2bo3b3o7bobo2b2o7bo4b2ob2obobo3b2o3b3o2bobo3bobo2bob2o2b2ob3obob2ob3ob3ob5obobo2b2ob2o6bob2o3b3o2bo\$2obobob2o3b2o2bobob2o2b2ob4o2b4o3b2ob5o2bo2b2o6bo4b2ob4o2bob3obobobo2b3o4bobo2b2ob4obo2bob2ob2obo3bobo6bob4ob2o2bob3obo2b3obo2b3o2bo\$2o2b9ob2o2b3o2bo3bobob3obo2b2o2bobo2bob2o2b2o2bo2bo8bobobo3bo2bobo5b3ob4o2bo3b3obob6obo2b2ob4o2b2o3bo2b2o3bo2bo4b2o4bobob6o\$2b5ob3obo4b3obob2obob5o3b4ob2obob2ob2ob2ob4obobo4bob2obo3bobo2bobob3obob3ob3o3bo3b3o4b2o5bo3bo4b5obo2bob2o2b7o2b2ob2ob2ob2o2bo\$3ob2o3bobo5bob3obob4ob3o3b2obo2bo2b2ob2o3bo2bo2b2o4b2obo2bo2bo8b2ob8o3bo3bo2b2ob2obo2b2obob6ob2o2b2ob3ob4o3bo2b3o3b2obo2bo4b2o\$o5b2obo4bo7b2obo7b4ob6ob2obo4b2o5b2o2bo5b2ob4obo3bo3b3obobo2b5ob3ob4o6bob3o3b2ob2o3b7o2bobobo2b3o2bob2obo4b2obo\$2o2bob3o2b3o4bobobob2obobo2bobobob5o2b2ob2ob2ob2obo2bo2bobo3b2ob3ob2ob2o4b2ob2obobobo2b3o2bobo3b3o3b2obo2b3o2b2o2b2o3bobo2bob3obo4b3ob3obo4b2o\$obob3ob2obo2b2o4bob7o2bo2b5o5b3ob2o2b2o2b7o2b2ob2o4bobo2b2obo3bob3o4bo2bo3bobo4b2ob3o3b7o3bo2bobob2o2b2o3b3o6bo3b3obob2o\$2o6bo5b4o4b2o2bobob2o3b2obo5b2o5bo2b3o7b2ob3o2bobo2bobobobo2b2o2bob2o2bobobob2o6b4o6bo2b2obobo8bo13bo3b3ob2o2bo\$2bobobobobob4obobo5b2o4bo5bo2b2o2b2o3b2ob2obo2bo3bob3o3bo2bo6bo3b3obo2bobob2o2b2o3b4o2bo2bob2o3bo2bob2o4bo4b3o4bo2bo2bob2o2bob5ob3o\$2ob2ob2o2b5obo4b3o2bobo3b2o2b2o3bo2b3o2b4ob4obobobob3o4bo2bo6b2obo9bobob2o2b2ob4ob4obo3b3ob4obob7o4b2ob2obo2bo3b2o2bobo2b2o\$2b3ob2ob3obo2bo4bo6b3obo3bo2b2obobobob4o5bobo4bob3obob2ob3obo3b2o2bobo7b2o3b2ob6ob2obo6b2ob2o2b3o2b2obo4b2ob4o3b2o6bob2obo\$2bobob2o2b2o2bo2bobo2b3ob3o2b3obo2bo3b6obo2b5obo4b2o4bobo2bobo2b2o4b3obo6bo2bob5obo2b2o2b2obo2b2o3bob2ob3o2bob2ob4ob2ob2o4b3ob3obo2bo\$bo2bo2b2o2bo5bo3b2o2b8obo3bobob2o5bob3obobo3bobob3o5bo2b2obo4b2obobo2b4ob2o2b2o4bo3b2obobo2bob2o4b2obo3b2o2b2ob2o2bobo2b3o2b7o3bo\$obo3b2ob4o6b2o3bobobobo2bo2bob2o2bob4obo2bobobobob3o2b2o3bob2ob2obobob3o4bob2o2b2obo2bo2b3obobo2b5obo3b2o2b2o2bo2bo2bob2ob2o2b4obo2bobo3bobo\$bo2b3obo2b4ob7obo2bobo4bobobobo5b2ob4ob3obo2b3o4bob3ob3ob3ob3ob2ob2ob2o2bobob5obobo3b2ob2o2b5o3b3o3bob7o6b3o2bo6b2obo\$bobobo2bo2bob3o3bo2b2ob3obobo2bobo2bobo2b2o2b2obobo3bob3obob5o2b5ob2obob3obo2b3o2bo4b5obo3b5o2bobobobo2bob3o2b4ob6ob4o2bo2bob2obob2ob2o\$2o3b2obobo4b2o2bob2o3bo2b5o3b2o2bobobobobobobobob4o3bob2ob3ob2o2bob2o3bob6obo4b3obobo2b2o6b2obo2bo2bob2obob3o2bob4obobob2o2b2ob6o2bob2o\$4obo2bobobo2bobobo2bo2bo3bobob2ob4o2bo5bo3b5obob2obo4b6ob2o5bob3ob2obo4bo5b2o4b3obo3bobo2b3o4b3obo8bobo3bo2bo2b4o5b4o\$2bo3b2ob2ob2o3bobobobo3bo2b3o3b2ob2o3b2o5bo5b4ob2o3bo4b2o2bo2b3obobob2obobob5o2b2o5b2o3bob2obobob2o2bob3ob2ob2obob6ob4o3bo3b2obo\$o2bo2b2obo5b3obo2bobo2b2obobo3b2o2bo2bo3b2ob2o4bobo3bo3b2obo2bo3bo2bob5o3bob2o2b3obo2b2obobobo9bobob4o3b2obobob3o2b2o6bo2bobob6obo\$3bo3bob3obo2b2obo2bo7b3o3b2ob3ob4o3b4ob2ob3o2bo5bo2bo2bob2o2bo2bo2b3ob2ob3o2b2o3b2o2b2o2b2o2bobo2bob5o2bo2bobo7b2obobob2o7b2ob2o\$o3bo2b2o2bobobobob5ob2o2bo2b2obo2bo2b2o2b2o2b2o2b6ob3o4b2obob2obo2bo3b3obo10b3o3b2o3bo3b3obo5b2obo2bo3bob2o6b2obobob2o3b3obo4b2o\$9o2b6o2bobob3o5bo2bo3bobo2bo2b2o2b4o2bo2bob3o2bo7b4o2b3o4b2ob3ob3o2b3obo2b2obo3bob4obo5bob4o2b2o3bo3bo2bob3o2bob5obob2o\$4o4b3o3b5obobob3o2bob5o3b2o2b5obobob3ob3obo2b5obobo2b2ob3obobo4b3ob2obo5bo4b2o4b2o2bobob2o2bo2b3o2bob2ob2o5b5ob2obob2obo\$o4b2ob3obo2bo2b5obo3b8o2bobobo3b2ob5ob3ob2ob3ob3obob6obobo2b4o2bobob2obo3b3ob2o2bob5ob5o2bo2bo4bobo2bo2b3ob3o2bob9o4b2o\$4b2ob2o3bo4b2o2b5o3bobobob2ob2ob2ob2ob2ob4ob2o2b6o4b3ob2obobo2bo4bobobob2o2bo5b3obo2bo2bobo2bo5b2o7bobobo5b3ob3o2bo3bo2b2obo\$2ob2o2bo2b3o3bob2ob2ob3obo2b3obobob2ob2obo3bob3ob2ob7obobo4b3o4b2o2b2o3b2o4bob3o9bobobob2ob5ob5o2b2o8b6o2b3obobob4obob2o\$3obo4b4o2b2o2bo2bo5b2obo4bob2o6bo2b2o2b3o3b4ob3o2b3o2bob6o8bobo3bo2b4obob2obo3b2obo2b2o6b3obo3bob3o2bo3bobo2bo2b2o5b5o\$4o3bo5b2o2b3ob3o4bob4o4bob7obo6bob2o4b3o4bo2bo3bo5b3ob3o6b2o2bo4bo6b4o2b4ob2o4bo2bob4o2b2o2bobobo3b3obo2b3o2bo\$2b3o7b2obo4bob2o3bobo5bob2ob5ob2ob6o6b4o2b3obobobo2bobobo2b2o2b3obo2bo2bo3bobo7b3o6b2ob2o4b4ob3ob2o3bo2b2ob5obobob3obo\$b3obo5b3ob5o2bo4bo2b3o2b3ob4o3bobo4b3obo2bobo2bobo3b3ob4ob2o5b2obo2b2ob2o2b5o3bob6o3b2ob4ob2o2b4ob2o9bob2obobob5o2bobo\$3o4b2obob3o4bob3o2b5ob2ob2ob2obo2bobobo3bobo2b6o2bo3bo2b2o2b5obo4bo5bob3obob2obob2ob3obo2bo2bobo2bo4bo4bo2bobobob2ob3o2bo4bo3b4obo\$ob4obo4b2o2b2obo4b3o3b5o4bo2b2ob2o2b2ob2ob3ob4o4bob2o3bobobob3obobobo2bob2o2b2o2b6o2b2o2bo2b3obo4b4ob2o2b3o2b3o2b4o2bo2b2o3b2o3b2o\$2b3obo3b4ob4ob3obobo2bobobo3b2ob2ob2o2bob4obo2b3o4b3obo2b3o2b8o2bobob4o5bo2b4o6b3ob3o4bob3o2b4o2bo2b2ob4ob4o2bob3obobo3bo\$o2b2ob2obo3b2ob2o2bob2ob5o2bo5b4o5bobobobo4bo2bobobo2b2ob2ob3ob2obobo4b3o2bobob2o2bo2b2o7b2o2bo3bob2o3b2o2b6o2bo3bo2bobobob2o6bo2b2o\$6b2obo2bo3bobobob3ob2obo4bobob2ob2o5b2obob3o7b2ob3obo2bo2bob4o3b4ob5o8b3ob2o2bobo2b2o2bo5bob2ob2o6bo2b3o6b3ob4ob3o\$3obobobo3b2o3b4o4bo2b4o4b4o3b3o8b4o2b2ob3obo2b3o2bo2b2ob6obobo7bo3b2ob2ob3obob2ob2o2bob2obob3o3bo2bobo4bobobob3o3bobo3bob2o\$b2o5b3obobob3obo2b5o3b4o3bo2b4obobo5b5o4b3obo2bob3obo3b4ob2obobobo3b2o2b3o4bo3b2obo4b4ob5ob2obobo4bobobo2bob2o3b8o2bo\$b4obobob3obo3b3o3bob2o4b2o2b4ob2o4bo3bob2o5b3o8bobob2ob3ob2obo3b2obo3b6o3bo2b5obo4bo2b2ob2obo3b3o4b2obo2b4ob3obo2b3o2b2obo\$b2ob3obobo2b2o2b3ob2o2b4obo2bo5b4o4bo3b2o5bob2o3b2o12bo3b2o3b2obob2o4bob8ob3o2bobo4bo4bobo3bobobo4bob2o4b3o2bo2bo2bobo\$2b2o3b2obobob2obo5b7o2bo3bobob2obob2obob4obo4b2obo2bo2bo2b3o4bobob2ob5o4bob2o2b4o5b6o6bo4bo2bob5obo2b6o2bo2bobobo5b2obo\$b6o3b2ob3o2b2o4b4o2b4ob3o2b2o2bo3b2o4b5obob2obob8obobo5bo3bob4o3bob2obob3o5b2o3bo3bob3o2b2ob2obo2bobobo3b4o2bo4bo2b2obobo\$obobo3b8o3b5o3bo2b2obob2o3bob2o7bo2b3o2b4obob2obobob4o2bo3bo6b5obobo2b2obo2bob2o4b2ob5ob4o4b2ob2ob4ob5ob3o4b3obo\$3b3ob2o2b5obo3b2o4b2o2bo2b2obo3b3o2bo2b6o2b7o4b3o2bo2b3o4b3ob2o6b2o4bobobobo2b2obob2o3b2ob2ob2ob3o2b2o5bo2b4ob2ob2o3b2ob3ob2o\$bo7bo3b6obo2b2obo2b4ob3o2bo6b2o2bobobob3o2bobo3b4o4bob2ob3o2bo5bo3b2o2b2o3bo2bob2ob4o3b2ob2o2b4o6bo2bo2b2o2bob2obobo2bo3bobo2bo\$bo3bobobo3b5ob2ob3o3b2ob2o5bo2b3o2bobobobo4b5o2b3obobo3b7o4b2o3b2ob2ob2ob4o3b3ob2o5b2obo3b3obobob2ob5o3b3o2bobo3b4o3b2o2bo\$bo2bo3b3obob5o2bo9b2ob5o2bo3bo3bob2o2bob2ob3obob2ob3o2bo3bo3bo2bo3bo4bo2bo3b2obob2obo2bo2bob2ob2o4bobobobobo4bobo2b4o2bo2bobo2bo2b2o2bo\$b3obo2b2ob2o2b2obob2o2b4o2b4o7b2obob2o4b2obo2bob4obo2bo6bo2bob3ob5ob3o2b2o2b4ob2o7bo2bo2bobo6b5ob3o3bob3o4bo4b2obo2bo2b2o\$o4b2ob2o2bo2bob2ob2o3bob3obo2bo2b3ob4obob5ob4o3bo2bobo2bob4o4b3ob2o2bo3bo2bo2b2obo2bobob2o3b6obobo2bo2bob4o8b4o4b3ob3o8bo\$b5ob5ob2o4b7obo2b5ob2o5bo2b2obob2o2bob2obo3b4o5bobo2bo2b2obob4obobobo2bob3ob3o2bo2b2obo3b2ob2ob6ob2obo3b5ob3obobob2o2b4obo2bo\$o5bo2bobob5o2b3obobo2b2o2bo5b5obo9b2obob2ob3o2b2obo2bobo3bo3b2ob3o6bob6obo2b3ob2o2bob2ob4o2b3obob4o2bo3b4obob2ob2o2bob3obo\$obo4b3obobo2bo2b2o2bobob2ob3o2bobo4b5ob2o4b4ob4ob2o4b2ob2obob4o2bobobob4o3b2o2bobobo3bo2bo9bobob2o2bobobo4b8o3bo4b3obob3o\$b2o5b5o2bo2b2obo2bo3b3o3bo3bo2bob2o2bobobobob2obo4bo3b4obo4bob3o2bo3bo2b4ob2ob3ob3ob3obobo2b3o2bob3o2bob3o2b3ob6o5b2o2b4o2b2o2bo\$2bobo4bobobob2o2b3ob7obo2b2o3bo2b3o2b3obob2ob2o4bobo2bo4bo2b2obob2o2bo2bob3o2bobob2ob3o3b5o3bo3b3ob4ob6o7bo3b4o2b2o2bob4o2b3o\$bobo3b2o3bo2bob2o3b2ob6obobo3b2o4b2o2b2o4b2o3bob2o3bo2bobob2ob2ob2o2b4o2bobobobo4b2o2b2ob2obobobob2obob3obo4b4obobob2ob2o3b3ob2obo4bobobo\$4obo4b2obo2bob2ob2ob2ob2ob5ob3o2b2o2bobo3b2o4b4ob2o3bo3bobob2ob3obobobo4bob4o3bo2bobob2o2bobob2o6bo4b2o3b8obo4b3o4bo6b2ob2o\$2b2ob2o3b2obob3o2b2o2bo2bobo2bobo2bobob2ob3ob2o6b2o2b2obo2b6o5b4ob3obob2o3bo2bo3bob2obobo3b2o3bob2o2b2obob2o3bob3ob6obobo3b2o3b3o2b2ob2o\$b4o2b6o4bo4b6ob2obo2b4ob3ob2ob2ob3o3b2o2b2obob8o2b4o4b3o2bobo2bo2bobo4b2o3bobobobob3obob3o2b2obo9b3o3bob2obobo2b2ob5o\$11b5ob6obobo4b3o4b2obo5bo2bo2bo2b2ob3o2bobob2o4b3ob3o2bob8obob2ob3o2bo2bo2b4ob2ob3ob4o7bo2b2ob2obob3ob2o2bo2bobo5b2o\$2b2ob2o4bob3ob2o2bo2b3o2b4obobobo2b2ob3ob2o3bobo2b2o4bo2bo2b4o3bob5o4b3obob2ob5o3bobob2obob6obobo2bo4b6obo2bob2ob4o3bo2b5o2b2o\$2o3b2o2bob5ob2obobob2obo2b3ob2o2bob4o6b2o4bo2bob2ob4o2bobob2ob2o2b3obobo2b6o2b3o3b2obo5b4o2bo3bo4bobo4bob2ob4o3b2ob2o4bob5o2bo\$2bobo3bobob3obob2o2b2obob3o2b2ob9obob6o2bobo2bobob3o4b2o2bo2bob6o2b2o2b5o5bo4b3obo3bobobo3b3o9bob2ob2obob4o6b3o3b2obo\$bob3ob2o2b5o3bo4bobo2b3ob2o3b3ob3ob2o2b3ob2ob3o3bo2b2o2b2o3bo4b3obo2bob2ob4obo2bo5bo5b2o3bo3b2ob2o2b2obobo6b2ob3o2b2obo2bo2bo3b2o2bo\$3o4b2obo6bo3b2o2b3obo4b2o4bobobobobobo4b3o3bo2b2ob2ob3obobobobo2b2o2b3o5bobobob3ob3o6b3obobobob4o3bo2b3ob5o2b3obobo3b2o2bo2bo2bo\$2b2ob4o6b4obo4b3o3b3obo4bobob2o2b2obob9o3bo2b3obo3b4o2bo3bo3bobo2b3ob3o3bo4b2o2b2ob6obobo4b5o3bo3bo2bo4bo4bobob5o\$3ob2ob3obo2bobo4b2obobobo4b6o3bobob5o3b4o2bob2ob2o3bo2b5o2b2obobob2obo2b3o2bo4bo3b9obobo3b2o2bo3bo2b2o4bob4ob2ob2obo2bo2b2o4bo\$b3o2bob2ob2o2b5ob3ob2ob3ob4o2bob2obobob5ob7o2bob4obo2bob2obob5obo2bobobo4b4ob4ob4o2bobo2b2ob4ob2ob4o2bo2b2o3b7o2bob5obo3b2o\$4b3o2b2ob2o2bo3bobob5o2b3o3b7o2b7o3b4ob2o3bobo3b2obobob7obobo6bo2bob2obo2b2o3bo2bob3obo7bo2b2o2bo2bo3b4o8b2o3b3ob2o\$2b2o2b3ob4o2bobo2b2obo2bob2o3bo4b2o2b8o2b2o2bobob2o2bo3b3ob2ob2o2bo2b2ob3o3bobo2bobobo4bo2b3obob4obob2o3b2o3b2o2b4o2b2o2b2o2b2o2b4o2b2obobo\$ob2ob4o4b2o7bobo2bobo2bo2bobo2b2ob2ob2o3bob3o3b5o2bobobobobobo3bob2o10b2o2b4obob2o2b2ob2obo3b2ob2o2b2o4b2o2b3obo2b4o2bo5b2ob2o2bo\$o2bo2b2obobobobob2ob2o3b2obobob2obobo2bobobo2bob3o6b2o3b2ob2o2b4o2b4obo2b8o3bob3ob4o3b3o2bobob2ob2obo3bobobo2bob4o2bo2bob3obo3b2obo3b2o\$2b2ob4obo3bo5b2o2b2o3b5o2bob2ob5obob3o2b3obobobob2ob5obo6b2obo6b3obo2bo3b3o2b2o2b2o2bob2ob4o2bo5b2ob4obobobobob10o3b3ob2o\$2ob3o3b3o2bob8ob5o2bobobo2b2o2bobob5o3bo2b2ob3obo2b3obob3o9bobo2bo2b2o2b2o7b2o2b2o4bo3bo2b2o3bobo3b2obobob4obobobo3b2ob3ob2obo\$3o2bob2o3b2obo4b2obo3b5o2b4obobobob3ob2ob2o2b2ob5o2bo2bob10o3b3o4b2o3bo2b2o2b2o2b2o3b4ob2obob2o7b2ob4o2bobo2bobob3obobobo2bobo2bo\$b2obob2obob4o3bob2o3b2o4bobobo5b2obobo4bobo2b3ob2ob2o3bo2bo2bo2b6o5bobo2b7o2bob7obobobo2b2o6b2ob2ob3o3b5obo4b3obobobob2ob3o\$3ob4o2bob3o2bo2bobo3bob7obo2b9o2b2o4b2o2bob2obobo2bob3ob7ob5obob2obobo4bo3bo3b3obo2b2ob4o4bobobob2o3bo2bo4bobob2o2b3o5bo\$b2ob5ob4obobo10b2obobobo2bo4b2o3bo5bo2b6ob2o4b2o4b2o2b3ob2o3b2o2bob2ob2o2bo3b2o2bo2bob3ob2ob2o2bo2bo4b2o3b2obob2o2b3o3bob4o4bo\$bo4bo4b2o2bobob7o2b2obob2o2b2obo4bo4bo2bo2bob2ob2obob3obo2b2o3bob3ob2o3bob2obobo4b3obo4b2o2bo2b2o2b5ob2obobo2b3obob2ob2o2b3o3b3obo5bo\$bob3o3b6obo4b10o4b2o3bo2b2ob3obo6b2o3b5obobo3b2o2b2o3b3obo2b4o3b2obo4bo2bo4bobobo7b3obob3obobob2ob3o6bo2b2obob3o2bo\$b2ob3o3b2obo2b4o3b2o4bo3b2o2b4o3b3ob2obo2bo3bobo4b4obobobo4bo2bo2bo2bo2bob2o4bobob2o4bo3b2o2bob2ob3obob2ob3ob6o2bo3b2o5bobob5o!`

77topaz

Posts: 1345
Joined: January 12th, 2018, 9:19 pm

Re: Find a rule game

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?
`x = 40, y = 40, rule = B3ai4acnr7c/S3i4-ceq5-jqy6ac7c8bobobo2bob2o3b2obo2b3ob3ob2o3b3obo\$bob2obob2o2b5o3bo2bob2o4bob2obo2bo\$5o2bob5ob2ob2o2bob2o2b2ob2o2bobo\$3o2b3o5b2obo6bo6b2o2bobo2bo\$b2o7b2obo3b2obo3bo2b3o2b3ob4o\$bob2o2b2o3b4ob2ob2ob2ob3o4b2ob4o\$b3obo4bob2o3b3obo4bob10obo\$6b3obo2bo2b6o2bo2bobo3bo2bo\$b2o2b4o2b2ob3o3bo3bobo2bob6o\$2o4b3o5bob2obo2bobo2bobob2o3bo\$2o5bo3b3o2bobo3bo8b2o3b2o\$b2o4bob5o3b2obob2obo7bob3obo\$bo3bo3bo3bo2bo6bo3bobobo4b4o\$o2bob2o3b7ob3o3b4o5b3ob2o\$b2obo2b2ob2ob2o2b6obo3bo2b3ob3obo\$2b2ob2o6bo2b2o2bobob2obob3o2b3o2bo\$obo3bobo2b2ob2obo2bobo2bo2b2o4bo4bo\$2ob2obob2ob2obo2bob4obob5obo6bo\$b2o2bob2ob2ob2obob3ob2ob3obob3o2b4o\$b5o3bo2bo2bo4b2ob2o5bo5b2obo\$o2b2obob3o2b4o2b2obobo2b3o3b3o2bo\$b4o2bo4b2o2bobobo3bob2o2bobob5o\$b2o3b6ob4o2b2o4bo2bob3o3b3o\$7o2b2obobob3obob3obo2bobobobob2o\$5obo2bob3o4b2o4b3ob3o2bo2b3o\$3obo3bobob2o2b4obobo3b3o5b3o\$o4b3obobo3b2ob2o2b2o3bobobobobobobo\$o2bob3ob2o4bo2bobob2o2bo2b2ob2ob4o\$2obo2b5obo3b4o2bobobo4b3o4bo\$2o3bo3bob2obobobo4b2obob2obo2bo2bobo\$2o3bob3o2bob3ob4ob2ob3o3bo2b3obo\$2bob2obobo2b3o7b3obobo3b2obob3o\$2bobob2o2bo2bob2o5bo2bo2bob4ob2o2bo\$2bob3o3b4o2b4obob2obo2bo2bo5b2o\$obob3o7bo2b3obobo5b3o3b5o\$ob4obo2bob3obob3obo2bo3bobo4b2obo\$obo3bo5b2o4bobob3o2b3ob2o2b4o\$6b2o2b5o3bo3b2obo7b2obo\$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.
Electro_blob

Posts: 25
Joined: October 13th, 2017, 8:46 pm

Re: Find a rule game

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
SEARCH SNOWFLAKES
--------------------------------------------------
ln(2) = 0.4^0.4 + (e-pi/10)*10^-6

testitemqlstudop

Posts: 587
Joined: July 21st, 2016, 11:45 am
Location: very very very very boats

Re: Find a rule game

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

Posts: 182
Joined: March 1st, 2015, 1:28 pm

Re: Find a rule game

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.
My rules:
They can be found here

Also, the tree game
Bill Watterson once wrote: "How do soldiers killing each other solve the world's problems?"

Moosey

Posts: 1194
Joined: January 27th, 2019, 5:54 pm
Location: A house, or perhaps the OCA board.

Re: Find a rule game

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.
Ian07

Posts: 197
Joined: September 22nd, 2018, 8:48 am

Re: Find a rule game

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)
`x = 16, y = 16, rule = B3-cn6i/S234i2b2ob3obob5o\$2b3o3bob3o2bo\$b3o3b2o4b3o\$ob3o2bobob3o\$2bobob3ob6o\$bob2ob4obob3o\$2obob3ob2ob3o\$bo2bob3o2b3obo\$ob2o2b5ob4o\$2bo2bo3bobob3o\$2b5obobob2o\$4bo5b2obobo\$2o2b3o2bo2bob2o\$b2o4b8o\$2bo3b6obo\$2obo2bob3o3b2o!`
Sarp

Posts: 182
Joined: March 1st, 2015, 1:28 pm

Re: Find a rule game

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.
What do you do with ill crystallographers? Take them to the mono-clinic!

calcyman

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

Re: Find a rule game

Why make a "natural" diehard when you could not? (4897)
`x = 16, y = 14, rule = B2in3-cky4ciqrtz5ey6ac/S1c2aek3-acky4t6i7e82o\$obo\$3o\$bo\$3b2o\$4bo\$4bo\$3b2o9b2o\$4bo10bo\$15bo2\$15bo\$15bo\$14b2o!`
`x = 11, y = 5, rule = B2ck3-ij5n78/S01e2ei3-k5ai8b2o\$2o3b2o\$bo4bo3bo\$2bo2b2o\$o7bo!`

(Check Gen 2)

toroidalet

Posts: 936
Joined: August 7th, 2016, 1:48 pm
Location: my computer

Previous