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Long-lived methuselahs

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.

Re: Long-lived methuselahs

Postby simeks » August 4th, 2017, 12:02 pm

testitemqlstudop wrote:error running ./mknative on MacOs Seirra:
clang: error: unknown argument: '-fno-tree-loop-distribute-patterns'
clang: error: unknown argument: '-fno-tree-loop-distribute-patterns'
Hao-FengjiematoMacBook-Air:meth_h4 qlstudio$

I haven't tried compiling with clang, but it may be as simple as just removing the -fno-tree-loop-distribute-patterns option from the mknative file - that's just a small optimization anyway and it would be interesting to know if that works!

testitemqlstudop wrote:It's ok now I installed debian. Thanks! (Also, how long should it take before a successful 8*8 grid 30 on cell search take? What is the most suggested grid-oncell pair?)

That's more than 10^18 different patterns to try... From systematic trends it would take about 80000 years to complete.
It you want to try a search that I've been planning to do but haven't started you could try 15 oncells in a 9-by-5 bounding box - that should take about 3 weeks to run. But it might be better to wait for the new verision I'm working on.
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Re: Long-lived methuselahs

Postby testitemqlstudop » August 4th, 2017, 9:08 pm

Well,what is the best oncell/gridsize ratio?
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Re: Long-lived methuselahs

Postby testitemqlstudop » August 5th, 2017, 2:13 am

Removing the optimization works. Also, when should you be done with the new version?
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Re: Long-lived methuselahs

Postby BlinkerSpawn » August 5th, 2017, 8:20 am

testitemqlstudop wrote:Well,what is the best oncell/gridsize ratio?

There's no real optimal ratio.
What's important is keeping a number of on-cells and a grid size that are low enough to prevent combinatorial explosion while being high enough to allow methuselae. The limiting factor in these searches is not the ratio of ON cells but the number of possible combinations of them.
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Re: Long-lived methuselahs

Postby simeks » August 5th, 2017, 10:38 am

BlinkerSpawn wrote:
testitemqlstudop wrote:Well,what is the best oncell/gridsize ratio?

There's no real optimal ratio.
What's important is keeping a number of on-cells and a grid size that are low enough to prevent combinatorial explosion while being high enough to allow methuselae. The limiting factor in these searches is not the ratio of ON cells but the number of possible combinations of them.

I agree! There are examples of methuselahs with both high and low ratios:

x = 407, y = 30, rule = LifeHistory
406.A$404.A$404.A$404.A$396.3A$396.A7.2A$405.A18$A2.3A$A2.A$2A.A.A$2A
2.2A$3A.A$2A.3A!

It's also worth mentioning that the program assumes all "smaller" searches have already been made, so that if a seed evolves to a pattern with the same bounding box and fewer cells, or a smaller bounding box with fewer or the same number of cells, it will be discarded.

testitemqlstudop wrote:Removing the optimization works. Also, when should you be done with the new version?

Thanks for testing that!
I've done enough work on the new version to know it will be a lot faster, but I can't make any promises about when it will be done.
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Re: Long-lived methuselahs

Postby 2718281828 » October 9th, 2018, 2:32 am

7988M having 8 cells on 3-by-13 bounding box:
x = 13, y = 3, rule = B3/S23
12bo$o2bo8bo$3o9bo!
An 8 cell record.
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Re: Long-lived methuselahs

Postby 2718281828 » October 9th, 2018, 7:51 am

A detailed view on 8 cell methuselahs:

14321M on 7-by-33:
x = 33, y = 7, rule = B3/S23
o$3o2$bo3$30b3o!

(I know not a methuselah in the 'standard 20-by-20 setting', It is might be the longest lasting pattern where the MCP is smaller than its lifespan [to avoid an R where an escaping glider hits something very far away])

11144M on 9-by-18:
x = 18, y = 9, rule = B3/S23
14b3o$17bo$17bo5$2o$bo!


8562M as 6-by-10:
x = 10, y = 6, rule = B3/S23
3o$3bo$3bo$9bo$9bo$9bo!

and 7-by-9
x = 9, y = 7, rule = B3/S23
o$3o2$bo$8bo$8bo$8bo!


7988M with 3-by-13:
x = 13, y = 3, rule = B3/S23
12bo$o2bo8bo$3o9bo!


7468M with 4-by-6 (reported best):
x = 6, y = 4, rule = B3/S23
5bo$b2ob2o$2o$bo!


4485M with 2-by-15:
x = 15, y = 2, rule = B3/S23
3o9b3o$11bo2bo!


(1 cell height is a bit weird)
48M as 1-by-8:
x = 8, y = 1, rule = B3/S23
8o!


For comparison (http://www.conwaylife.com/wiki/List_of_ ... ethuselahs)


Something, different, but related to these pattern:
The glider-mango collision
x = 5, y = 8, rule = B3/S23
2b3o$bo2bo5$2o$bo!

seems to be the only 8 cell pattern which yields a PD.
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Re: Long-lived methuselahs

Postby Ian07 » October 9th, 2018, 3:39 pm

2718281828 wrote:11144M on 9-by-18:
x = 18, y = 9, rule = B3/S23
14b3o$17bo$17bo5$2o$bo!



Fun fact: this one has a temporary house-on-house which lasts from gen 8162 until being destroyed by a glider at gen 9778.
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Re: Long-lived methuselahs

Postby 77topaz » October 9th, 2018, 6:54 pm

2718281828 wrote:7468M with 4-by-6 (reported best):
x = 6, y = 4, rule = B3/S23
5bo$b2ob2o$2o$bo!


Specifically, it's reported to be the best for a single cluster of eight cells, which it still is, as your longer-lived examples consist of two separate clusters.
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Re: Long-lived methuselahs

Postby 2718281828 » October 10th, 2018, 1:54 am

77topaz wrote:
2718281828 wrote:7468M with 4-by-6 (reported best):
x = 6, y = 4, rule = B3/S23
5bo$b2ob2o$2o$bo!


Specifically, it's reported to be the best for a single cluster of eight cells, which it still is, as your longer-lived examples consist of two separate clusters.
Yes, no doubt about it. Still, its MCPS is 9 (not 8 which would be minimal for 8 cells) - if we take MCPS as measure for clustering.
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Re: Long-lived methuselahs

Postby Entity Valkyrie » October 10th, 2018, 2:32 am

Extremely High Period Oscillator:
x = 445, y = 330, rule = B3/S23
133b2o19b2o$134bo19bo$134bobo5bo9bobo$135b2o4bobo8b2o$140bob2o$139b2ob
2o$140bob2o$141bobo$142bo19$144b2o$138bo5b2o$137bobo$138bo2$127bo$127b
3o$130bo13b3o$129b2o12bo3bo$138b3o2bo3bo$132bo4bo3bobo3bo179b2o19b2o$
131bobo3bo3bo2b3o181bo19bo$80bo46b2o2b2o4bo3bo186bobo7b2o5b2obo$80b3o
44b2o9b3o188b2o6bobo7bo$83bo62bo189b3o4bo$82b2o61bobo187b3o4bo2bo$83b
3o53b2o5bo189b3o4b2o$84bobo52b2o196bobo$83bo3bo250b2o$83b5o$82b2o3b2o$
83b5o$84b3o$85bo2$112bo21b2o$112bobo19bo$100b2o11bobo9b2o5bobo$100b2o
11bo2bo7b3o5b2o$113bobo5bob2o$112bobo6bo2bo$82b2o28bo8bob2o$83bo40b3o$
80b3o42b2o$80bo78bo$115bo42bobo$115b2o24b2o15b2obo4b2o$114bobo24bobo
14b2ob2o3b2o$144bo13b2obo$89bo51bo2bo13bobo46bo$89b3o52bo14bo45b3o$92b
o41b2o5bobo60bo$91b2o40bobo5b2o61b2o$107b2o24bo$108b2o22b2o$107bo251b
2o$353bo4bo2bo$352bobo3bo$91b2o3b2o104bo150bo5bobo$91b2o3b2o10b2o15bo
75b3o149bo5b2o$92b5o3bo7b2o13b3o74b5o137bo11bo$93bobo4b2o20bo76bobobob
o136b3o9b2o2b2o2b3o$99bobo20b2o75b2o3b2o139bo59bo$93b3o248b2o4b3o2b2o
2b2o42b3o$360bo41bo$347bo6b2o4bo41b2o$346bobo5bo$342b2o2b2o6bo$96bo20b
2o3b2o80b2o136b2o$95bobo22bo83bo156bo$94bo3bo18bo5bo81b3o152bobo$95b3o
20b2ob2o84bo146b2o5bo37b3o$93b2o3b2o19bobo232b2o42bo3bo$120bo276bo5bo$
120bo276b2obob2o3$400bo$122b2o275bobo$122bo276bobo$123b3o274b3o$125bo
276b2o$402bo$95b2o306b3o$95b2o308bo15$87bo$86b2o$75b2o8b2o4b2o5bo$75b
2o7b3o4b2o3bobo$85b2o4b2o2bobo$86b2o6bo2bo$87bo7bobo$96bobo8b2o$98bo8b
obo$91b2o16bo$90bobo16b2o$92bo2$350b2o$64bo285bo$64b3o274bo6bobo$67bo
273bobo4b2o$66b2o5b2o8b3o256bobo$74bo10bo256bo2bo$74bobo7bo257bobo$75b
2o254b2o8bobo$330bobo8bo$330bo$329b2o$76b2o5b2o$75bobo5b2o226bo$66b2o
3b2o4bo232b3o$68b3o238b2ob2o$67bo3bo236b3ob3o$68bobo237b3ob3o$69bo238b
3ob3o$308b3ob3o$70b3o236b2ob2o$70b3o237b3o$311bo3$68b2o3b2o$69b5o223b
8o$70b3o224bob4obo$34b2o35bo225b8o$34bo247bob2o4bo$2o21b2o7bobo247b2ob
o3bobo102bo$bo21bobo6b2o255bobo100b3o$bobo6bobo13bo51b8o194b5o3b2ob3o
97bo$2b2o5bo2bo10bo2bo51bob4obo193bo2bo2bo8bo96b2o$8b2o16bo51b8o193b2o
3b2o2b2ob3o$6b2o3bo11bobo262b2obo$8b2o13b2o270bo$o8bo2bo280b3o135b2o5b
2o$3o7bobo279bo96bo41b2o5bo$3bo288b2o94b3o45bobo$2b2o383b5o44b2o$333b
2o51bobobobo39b2o$332b3o51b2o3b2o39bobo$329bob2o100bo$289b2o38bo2bo$
288bo2bo37bob2o56bo$5bo40b2o2b3o2b2o9bo30b2o190b2o32b2o7b3o5b2o46bobo
44b3o$4b3o39bo2b5o2bo5b2o2b2ob3o26bo182b2o39bobo8b2o5bobo45bo53bo$3b5o
39b9o6b2o4b4o23b3o182bobo39bo19bo46bo2bo40bo5bobobo$2b2o3b2o35b3o9b3o
7b2o27bo184bo40b2o19b2o48bo34b2o4bo5bo2bo$44bo2bo7bo2bo220b2o110bo35b
2o4bo5bo$37bobo5b2o9b2o234b2o98b3o40b3o$7b2o27bo2bo252bo44b2o55bo$9bo
12b2o11b2o256b3o35bo5b2o98b3o$6bo15bobo8b2o3bo256bo34bobo102bo5b4o$6bo
2bo15bo9b2o294bo97bo5bo5b4o$5b2ob2o12bo2bo10bo2bo5b2o381bobo4bo5bo$6b
2o17bo11bobo5bobo272bo16b3o89bo$15b2o5bobo22bo272b3o14bobo97b3o$14bobo
5b2o23b2o274bo7b3o3b3o$4b2o3b2o3bo307b2o7bobo$4b2o3b2o2b2o146b2o168b3o
$5b5o151b2o5bo157bo$6bobo152b2o4bobo48bo105bobo$160b3o5bo49b3o99b2o2b
2o$6b3o212bo98b2o$158bo4bo2b3o10bo40b2o117bo$158bo4bo13b3o158bobo$158b
o4bobo4bo5bo155b2o5bo$9b2o154bo4bo5b2o154b2o$9bo150b3o2bo4bo$10b3o161b
o$12bo153b3o4bobo$174b2o2b2o$178b2o$160bo59b2o3b2o$159bobo60b3o$160bo
5b2o53bo3bo$166b2o54bobo$223bo3$220b2o$221bo$218b3o$218bo2$354b2o$312b
o41b2o5bo$311bobo46bobo$311b2obo46bo$311b2ob2o26b2o$148bo162b2obo27b2o
2b2o$146bobo151b2o9bobo3b2o27bobo$145bobo151bobo10bo4bobo27bo6bo$144bo
2bo151bo19bo33bobo$145bobo16b2o132b2o19b2o23b2o6bo3bo3bo$141b2o3bobo9b
2o5bo179bo7bobo3bobo$140bobo5bo9bobob3o177b3o9bo3bo3bo$140bo19bobo179b
o16bobo$139b2o19b2o198bo$353bo$352bobo$353bo5b2o$244bo114b2o$243b4o$
242b2obobo$241b3obo2bo$242b2obobo$233b2o8b4o3b2o$232bobo9bo5bobo$232bo
19bo$231b2o19b2o72$276b2o$270bo5b2o$269bobo$270bo$288b2o$284b2o2b2o$
283bobo$268bo15bo$268bo$276b3o7b2o$277bo8bo$270b3o14b3o$271bo17bo2$
278bo$277bobo$271b2o5bo$271b2o!

Removal of one eater 1 gives a methuselah with a life of 33524:
x = 445, y = 330, rule = B3/S23
133b2o19b2o$134bo19bo$134bobo5bo9bobo$135b2o4bobo8b2o$140bob2o$139b2ob
2o$140bob2o$141bobo$142bo19$144b2o$138bo5b2o$137bobo$138bo2$127bo$127b
3o$130bo13b3o$129b2o12bo3bo$138b3o2bo3bo$132bo4bo3bobo3bo179b2o19b2o$
131bobo3bo3bo2b3o181bo19bo$80bo46b2o2b2o4bo3bo186bobo7b2o5b2obo$80b3o
44b2o9b3o188b2o6bobo7bo$83bo62bo189b3o4bo$82b2o61bobo187b3o4bo2bo$83b
3o53b2o5bo189b3o4b2o$84bobo52b2o196bobo$83bo3bo250b2o$83b5o$82b2o3b2o$
83b5o$84b3o$85bo2$112bo21b2o$112bobo19bo$100b2o11bobo9b2o5bobo$100b2o
11bo2bo7b3o5b2o$113bobo5bob2o$112bobo6bo2bo$82b2o28bo8bob2o$83bo40b3o$
80b3o42b2o$80bo78bo$115bo42bobo$115b2o24b2o15b2obo4b2o$114bobo24bobo
14b2ob2o3b2o$144bo13b2obo$89bo51bo2bo13bobo46bo$89b3o52bo14bo45b3o$92b
o41b2o5bobo60bo$91b2o40bobo5b2o61b2o$107b2o24bo$108b2o22b2o$107bo251b
2o$353bo4bo2bo$352bobo3bo$91b2o3b2o104bo150bo5bobo$91b2o3b2o10b2o15bo
75b3o149bo5b2o$92b5o3bo7b2o13b3o74b5o137bo11bo$93bobo4b2o20bo76bobobob
o136b3o9b2o2b2o2b3o$99bobo20b2o75b2o3b2o139bo59bo$93b3o248b2o4b3o2b2o
2b2o42b3o$360bo41bo$347bo6b2o4bo41b2o$346bobo5bo$342b2o2b2o6bo$96bo20b
2o3b2o80b2o136b2o$95bobo22bo83bo156bo$94bo3bo18bo5bo81b3o152bobo$95b3o
20b2ob2o84bo146b2o5bo37b3o$93b2o3b2o19bobo232b2o42bo3bo$120bo276bo5bo$
120bo276b2obob2o3$400bo$122b2o275bobo$122bo276bobo$123b3o274b3o$125bo
276b2o$402bo$95b2o306b3o$95b2o308bo15$87bo$86b2o$75b2o8b2o4b2o5bo$75b
2o7b3o4b2o3bobo$85b2o4b2o2bobo$86b2o6bo2bo$87bo7bobo$96bobo8b2o$98bo8b
obo$91b2o16bo$90bobo16b2o$92bo2$350b2o$64bo285bo$64b3o274bo6bobo$67bo
273bobo4b2o$66b2o5b2o8b3o256bobo$74bo10bo256bo2bo$74bobo7bo257bobo$75b
2o254b2o8bobo$330bobo8bo$330bo$329b2o$76b2o5b2o$75bobo5b2o226bo$66b2o
3b2o4bo232b3o$68b3o238b2ob2o$67bo3bo236b3ob3o$68bobo237b3ob3o$69bo238b
3ob3o$308b3ob3o$70b3o236b2ob2o$70b3o237b3o$311bo3$68b2o3b2o$69b5o223b
8o$70b3o224bob4obo$34b2o35bo225b8o$34bo247bob2o4bo$2o21b2o7bobo247b2ob
o3bobo102bo$bo21bobo6b2o255bobo100b3o$bobo6bobo13bo51b8o194b5o3b2ob3o
97bo$2b2o5bo2bo10bo2bo51bob4obo193bo2bo2bo8bo96b2o$8b2o16bo51b8o193b2o
3b2o2b2ob3o$6b2o3bo11bobo262b2obo$8b2o13b2o270bo$o8bo2bo280b3o135b2o5b
2o$3o7bobo279bo96bo41b2o5bo$3bo288b2o94b3o45bobo$2b2o383b5o44b2o$333b
2o51bobobobo39b2o$332b3o51b2o3b2o39bobo$329bob2o100bo$289b2o38bo2bo$
288bo2bo37bob2o56bo$5bo40b2o2b3o2b2o9bo222b2o32b2o7b3o5b2o46bobo44b3o$
4b3o39bo2b5o2bo5b2o2b2ob3o209b2o39bobo8b2o5bobo45bo53bo$3b5o39b9o6b2o
4b4o208bobo39bo19bo46bo2bo40bo5bobobo$2b2o3b2o35b3o9b3o7b2o212bo40b2o
19b2o48bo34b2o4bo5bo2bo$44bo2bo7bo2bo220b2o110bo35b2o4bo5bo$37bobo5b2o
9b2o234b2o98b3o40b3o$7b2o27bo2bo252bo44b2o55bo$9bo12b2o11b2o256b3o35bo
5b2o98b3o$6bo15bobo8b2o3bo256bo34bobo102bo5b4o$6bo2bo15bo9b2o294bo97bo
5bo5b4o$5b2ob2o12bo2bo10bo2bo5b2o381bobo4bo5bo$6b2o17bo11bobo5bobo272b
o16b3o89bo$15b2o5bobo22bo272b3o14bobo97b3o$14bobo5b2o23b2o274bo7b3o3b
3o$4b2o3b2o3bo307b2o7bobo$4b2o3b2o2b2o146b2o168b3o$5b5o151b2o5bo157bo$
6bobo152b2o4bobo48bo105bobo$160b3o5bo49b3o99b2o2b2o$6b3o212bo98b2o$
158bo4bo2b3o10bo40b2o117bo$158bo4bo13b3o158bobo$158bo4bobo4bo5bo155b2o
5bo$9b2o154bo4bo5b2o154b2o$9bo150b3o2bo4bo$10b3o161bo$12bo153b3o4bobo$
174b2o2b2o$178b2o$160bo59b2o3b2o$159bobo60b3o$160bo5b2o53bo3bo$166b2o
54bobo$223bo3$220b2o$221bo$218b3o$218bo2$354b2o$312bo41b2o5bo$311bobo
46bobo$311b2obo46bo$311b2ob2o26b2o$148bo162b2obo27b2o2b2o$146bobo151b
2o9bobo3b2o27bobo$145bobo151bobo10bo4bobo27bo6bo$144bo2bo151bo19bo33bo
bo$145bobo16b2o132b2o19b2o23b2o6bo3bo3bo$141b2o3bobo9b2o5bo179bo7bobo
3bobo$140bobo5bo9bobob3o177b3o9bo3bo3bo$140bo19bobo179bo16bobo$139b2o
19b2o198bo$353bo$352bobo$353bo5b2o$244bo114b2o$243b4o$242b2obobo$241b
3obo2bo$242b2obobo$233b2o8b4o3b2o$232bobo9bo5bobo$232bo19bo$231b2o19b
2o72$276b2o$270bo5b2o$269bobo$270bo$288b2o$284b2o2b2o$283bobo$268bo15b
o$268bo$276b3o7b2o$277bo8bo$270b3o14b3o$271bo17bo2$278bo$277bobo$271b
2o5bo$271b2o!
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Re: Long-lived methuselahs

Postby NickGotts » October 11th, 2018, 6:12 am

Is this 8-cell version of "Jaydot" known? The version in the wiki entry for "Methusalehs" has 9 cells, last the same time (6929), but has a smaller bounding box (6*3 instead of 6*5).

x = 6, y = 5, rule = B3/S23
bo$4bo$2ob2o$5bo$bo!
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Re: Long-lived methuselahs

Postby Redstoneboi » October 11th, 2018, 6:18 am

NickGotts wrote:Is this 8-cell version of "Jaydot" known? The version in the wiki entry for "Methusalehs" has 9 cells, last the same time (6929), but has a smaller bounding box (6*3 instead of 6*5).

x = 6, y = 5, rule = B3/S23
bo$4bo$2ob2o$5bo$bo!

pro tip: use code blocks (remove the spaces) [co de]<rle>[/co de]
x = 6, y = 5, rule = B3/S23
bo$4bo$2ob2o$5bo$bo!
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Re: Long-lived methuselahs

Postby NickGotts » October 11th, 2018, 6:48 am

The version of Jaydot just posted has the same MCPS as the one in the wiki.

Here is an alternative predecessor of M7468:

x = 6, y = 4, rule = B3/S23
bo$2o2bo$bo$3b3o!

Same number of cells as the version in the wiki:

x = 6, y = 4, rule = B3/S23
4bo$4b2o$2ob2o$o!)

but an MCPS of 10 rather than 9. However, in a certain sense, it has a better claim to be a "single cluster" than the wiki version. In the wiki version, the two polyplets making up the pattern act independently for the first step, giving rise to the same successor as they would if entirely alone: their only shared neighbour cell has only two "on" neighbours, one from each polyplet. In the new(?) version, none of the three polyplets is independent in this sense.
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Re: Long-lived methuselahs

Postby Redstoneboi » October 11th, 2018, 7:12 am

NickGotts wrote:The version of Jaydot just posted has the same MCPS as the one in the wiki.

Here is an alternative predecessor of M7468:

x = 6, y = 4, rule = B3/S23
bo$2o2bo$bo$3b3o!

Same number of cells as the version in the wiki:

x = 6, y = 4, rule = B3/S23
4bo$4b2o$2ob2o$o!)

but an MCPS of 10 rather than 9. However, in a certain sense, it has a better claim to be a "single cluster" than the wiki version. In the wiki version, the two polyplets making up the pattern act independently for the first step, giving rise to the same successor as they would if entirely alone: their only shared neighbour cell has only two "on" neighbours, one from each polyplet. In the new(?) version, none of the three polyplets is independent in this sense.

again, code blocks, please.
x = 6, y = 4, rule = B3/S23
bo$2o2bo$bo$3b3o!

x = 6, y = 4, rule = B3/S23
4bo$4b2o$2ob2o$o!
c(>^x^<c)~
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Re: Long-lived methuselahs

Postby cvojan » October 15th, 2018, 11:21 am

A methusaleh I found just messing around in Golly. Lasts about 6900 generations.
Also, this is the first time I have seen a MWSS come from a methusaleh.
Code: Select all
x = 18, y = 16, rule = B3/S23
2o$obo$bobo$3bo$3b2o6$12b2o$11bo2bo$11b2obo$13bo2b2o$13bo3bo$14b3o!
'sup.
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Re: Long-lived methuselahs

Postby 77topaz » October 18th, 2018, 9:36 pm

A 24-cell, 18x16 pattern that lasts 6900 generations doesn't really count as "long-lived", if you compare it to the patterns on the list of long-lived methuselahs.
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Re: Long-lived methuselahs

Postby simeks » December 31st, 2018, 8:42 pm

In response to this:

There are slightly longer-running Bunnies-variants with 10 initial cells than currently listed here. Here are two variants lasting 17431 generations:

x = 7, y = 7, rule = LifeHistory
3.3A3$3A$3.A$4.A$5.2A!

x = 9, y = 5, rule = LifeHistory
5.2A$3.A.A$3A$7.2A$8.A!

EDIT: By the way, this small 8-cell pattern with a lifespan of 8562 generations isn't listed either:

x = 10, y = 6, rule = LifeHistory
9.A$9.A$9.A$3.A$3.A$3A!
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Re: Long-lived methuselahs

Postby testitemqlstudop » January 1st, 2019, 1:04 pm

Ah and yes, I found the septadekamino with your search program
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Re: Long-lived methuselahs

Postby NickGotts » January 1st, 2019, 1:35 pm

Cross-posted from "Systematic Survey of Small Patterns" http://www.conwaylife.com/forums/viewtopic.php?f=2&t=3604

Here are (what I believe to be) all the distinct 8-cell patterns that last more than 8192 steps.
x = 220060, y = 65, rule = B3/S23
40002b2o60018b2o19978b2o30001b2o19995b2o$2o9998b2o9998b2o9999b2o9998bo
10012b2o10009b2o10000b2o9971b3o9997b3o10018bo9982b3o9994bo10032b3o
10009b3o9955bo10001bo9994bo10017bo10003bo10008bo10021bo10004bo$o9999bo
9999bo10000bo9999bo10012bo10010bo10001bo29993bo19979bo30002bo10001bo
9994bo10017bo10003bo9978b2o28bo10021bo10004bo$40001bo60019bo19979bo
30002bo10001bo9994bo10017bo10003bo9977bo30bo10021bo10004bo$200001bo$
20b2o199979bo$19bo179982b2o$19bo59982b2o49998b2o69997bo$19bo59981bo
49999bo69999bo$60001bo49999bo69999bo$60001bo49999bo5$170010bo$40008b2o
130000bo$40008bo130001bo5$90030b2o$90029bo$90029bo$90029bo6$160002b2o$
160001bo$160001bo$20014b2o139985bo$20013bo$20013bo$20013bo60046b2o$
80059bo$10017b2o19983b2o50055bo19940b3o$10016bo19984bo50057bo69940bo$
10016bo19984bo119998bo$10016bo19984bo119998bo2$70002b2o$70001bo50007b
3o$50002b2o19997bo$50001bo19999bo$50001bo80000b2o9998b2o$50001bo79999b
o9999bo79999bo$130001bo9999bo79999bobo$130001bo9999bo79998b2o2$190002b
2o$190001bo$190001bo$190001bo5$210002b2o$210001bo$210001bo$210001bo!
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Re: Long-lived methuselahs

Postby testitemqlstudop » January 26th, 2019, 2:14 pm

Anyways, this is old, but do you have the "new and optimized version", perchance?
And by the way, it failed to report Bunnies 9 on a 8x8 grid:

$ ./meth_h4_256 8 8 9 10000 0
Total number of seeds: 27540M (27540584512)
Total number of seeds: 27540M (27540584512)
Testing seed:            0M, hashtables:         0
Testing seed:            0M, hashtables:         0
Testing seed:         1893M, hashtables:         0
Testing seed:         1893M, hashtables:         0
Testing seed:         3883M, hashtables:         0
Testing seed:         3883M, hashtables:         0
Testing seed:         5864M, hashtables:         0
Testing seed:         5864M, hashtables:         0
Testing seed:         7595M, hashtables:        29
Testing seed:         7595M, hashtables:        29
Testing seed:         7757M, hashtables:       200
Testing seed:         7757M, hashtables:       200
Testing seed:         7925M, hashtables:       205
Testing seed:         7925M, hashtables:       205
Testing seed:         8077M, hashtables:       533
Testing seed:         8077M, hashtables:       533
Testing seed:         8290M, hashtables:       663
Testing seed:         8290M, hashtables:       663
Testing seed:         8556M, hashtables:       663
Testing seed:         8556M, hashtables:       663
Testing seed:         8823M, hashtables:       663
Testing seed:         8823M, hashtables:       663
Testing seed:         9021M, hashtables:       663
Testing seed:         9021M, hashtables:       663
Testing seed:         9357M, hashtables:       679
Testing seed:         9357M, hashtables:       679
Testing seed:         9723M, hashtables:       700
Testing seed:         9723M, hashtables:       700
Testing seed:        10225M, hashtables:       700
Testing seed:        10225M, hashtables:       700
Testing seed:        10606M, hashtables:       709
Testing seed:        10606M, hashtables:       709
Testing seed:        11005M, hashtables:       709
Testing seed:        11005M, hashtables:       709
Testing seed:        11491M, hashtables:       709
Testing seed:        11491M, hashtables:       709
Testing seed:        12070M, hashtables:       709
Testing seed:        12070M, hashtables:       709
Testing seed:        12639M, hashtables:       709
Testing seed:        12639M, hashtables:       709
Testing seed:        13230M, hashtables:       709
Testing seed:        13230M, hashtables:       709
Testing seed:        13941M, hashtables:       709
Testing seed:        13941M, hashtables:       709
Testing seed:        14680M, hashtables:       709
Testing seed:        14680M, hashtables:       709
Testing seed:        15677M, hashtables:       709
Testing seed:        15677M, hashtables:       709
Testing seed:        16544M, hashtables:       709
Testing seed:        16544M, hashtables:       709
Testing seed:        17502M, hashtables:       709
Testing seed:        17502M, hashtables:       709
Testing seed:        18608M, hashtables:       709
Testing seed:        18608M, hashtables:       709
Testing seed:        19465M, hashtables:       709
Testing seed:        19465M, hashtables:       709
Testing seed:        20610M, hashtables:       709
Testing seed:        20610M, hashtables:       709
Testing seed:        21721M, hashtables:       709
Testing seed:        21721M, hashtables:       709
Testing seed:        22736M, hashtables:       709
Testing seed:        22736M, hashtables:       709
Testing seed:        23882M, hashtables:       709
Testing seed:        23882M, hashtables:       709
Testing seed:        24837M, hashtables:       709
Testing seed:        24837M, hashtables:       709
Testing seed:        25716M, hashtables:       709
Testing seed:        25716M, hashtables:       709
Testing seed:        26706M, hashtables:       709
Testing seed:        26706M, hashtables:       709

Done, total work: 8095M

Wrong bounding box:                20421261744
Not canonical:                      6229357218
Tested seeds:                        889965550
- Evolves into tested seed:         888892902
- Settles early into P2:               843528
- On-cell could be removed:            217175
- Found in hashtable:                    9213
- Settles on low population:             2479
- Settles late:                           253
- Reaches max generations:                  0
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Re: Long-lived methuselahs

Postby simeks » January 26th, 2019, 6:35 pm

testitemqlstudop wrote:Anyways, this is old, but do you have the "new and optimized version", perchance?
And by the way, it failed to report Bunnies 9 on a 8x8 grid:

I don't have something new to release, sorry! It's still something I hope to work on in the future.

The bounding box of Bunnies 9 is 8-by-7, not 8-by-8, and it is found as expected with
$ ./meth_h4_256 8 7 9 10000 0

Note that each search assumes that all searches with a smaller bounding box and the same or lower number of on-cells, and all searches with the same bounding box and a lower number of on-cells have already been made. Thus all patterns with a bounding box not exactly as requested will be skipped.

I mentioned this already here ("It will only report results with exactly the requested bounding box size and on-cell count.")
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Re: Long-lived methuselahs

Postby testitemqlstudop » January 26th, 2019, 7:07 pm

simeks wrote:
The bounding box of Bunnies 9 is 8-by-7, not 8-by-8, and it is found as expected with
$ ./meth_h4_256 8 7 9 10000 0

Note that each search assumes that all searches with a smaller bounding box and the same or lower number of on-cells, and all searches with the same bounding box and a lower number of on-cells have already been made. Thus all patterns with a bounding box not exactly as requested will be skipped.

I mentioned this already here ("It will only report results with exactly the requested bounding box size and on-cell count.")

Ah, thanks for the clarification. I'll try again...
apgluxe is more efficient, anyhow...
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Re: Long-lived methuselahs

Postby Hdjensofjfnen » January 30th, 2019, 7:20 pm

Can anyone find a list of methuselahs with MCPS = n whose lifespan exceeds 2^n? The smallest one is, I believe, the R-pentomino.
EDIT: MCPS, not cells
Life is hard. Deal with it.
My favorite oscillator of all time:
x = 7, y = 3, rule = B3-r4j/S2-i3
o5bo$2o3b2o$b2ob2o!
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Re: Long-lived methuselahs

Postby testitemqlstudop » January 30th, 2019, 9:07 pm

Hdjensofjfnen wrote:Can anyone find a list of methuselahs with MCPS = n whose lifespan exceeds 2^n? The smallest one is, I believe, the R-pentomino.
EDIT: MCPS, not cells


There's this:

Kiran wrote:
Or the size of the maximum bounding box of the pattern could be arranged to increase as O(sqrt(log(N))), I think -- can't do better than that, right?

Yes, we can, this is an rle from my post in the original "my stupid challenge" thread:
x = 556, y = 1047, rule = B3/S23
83bo7bo$82b3o5bobo$81b2ob4o2bo2bo$82b3o2bo$83bo2b2o2bo$87b2obobo$91bo
10b2o$102b2o5$67bo$66b3o$65b2ob2o40b2o$66b3o41b2o$67bo$67bobo$67b4o$
70bo2$66b2ob2o5b3o$65bo5bo46b2o$66bo3bo9b2o36b2o$67bo14bo$76b4obo$57bo
7bo10b5o$56b3o5bobo$55b2ob4o2bo2bo39bo$56b3o2bo14bobo27bobo$57bo2b2o2b
o11bobo27bo2b2o$61b2obobo10bo26b7o$65bo10bobo24bo2bo3bo$77b2o23b3o2b7o
$77bo26b3o2bo$100bo4b2ob2o$99b2o5b3obo2bo$98bob2o5b3ob2o$98bo2b2o7bo$
96b4ob3o$95bo2bobo2b2o$61bo34bobobob3o$60b4o6b2o25b2ob3obo$59bo4bo4b3o
b2o22b4o2bobo$58b2o10b2ob3o24bo3bo$59bobob2o4b3ob2o25bo3bo$60b3o6b2o
29bo2bo$61bo5$64b2o$64b2o$81bo$80bobo$80bo2b2o$78b7o$77bo2bo3bo$76b3o
2b7o$72b2o4b3o2bo$72b2o5b2ob2o$80b3obo2bo$81b3ob2o$84bo4$80b2o$80b2o
36$193b2o$193b2o8$194bo$193b3o$192b5o$161bo29b2o3b2o$160b2o$160bobo2$
193b3o$193b3o2$196bo$195bobo$194bo3bo$195b3o$188bo4b2o3b2o$188bobo$
188b2o7$193b2o8bo$179b2o13bo6b3o$191b3o6bo$191bo8b2o4$181bo$179b3o$
178bo$178b2o11bo$190b2o3b2o3b2o$190bobo$166bo29bo3bo$165bo31b3o$165b3o
8bo8bo11b3o$175b3o7b2o$174b5o5bobo$173bobobobo16bo$173b2o3b2o15b3o$
120b2o72bo3bo$119b3o74bo$116bob2o15bo42b2o13bo5bo$103bo12bo2bo8b3o4bob
o40b2o13bo5bo$102bobo11bob2o16bobo41bo13bo3bo$92b2o7bob2o14b3o2b2o2bo
7bo2bo3b2o33b3o14b3o$35bo55bobo6b2ob2o15b2o2bo3bo7bobo4b2o31bo$34bobo
53bo6b3obob2o20bo2bo6bobo38b5o$33bob2o15b2o27b2o7bo2bo2bo2bo2bobo20b2o
8bo41b2o$9b2o16b2o3b2ob2o14bobo27b2o7bo6b2o4bo$9b2o16b2o4bob2o13bo6b2o
32bobo$34bobo13bo2bo2bo2bob2o29b2o63bo17b2o3b2o$35bo5bo8bo6b2o2b2o10b
2o42bo39b3o16b5o$41bobo7bobo19bobo28bobo10bobo40bo15b2ob2o$41b2o9b2o
14b2o6bo11bobo14b2o10b2o40b2o15b2ob2o14b2o$60bo6bo2bo2bo2bo10bo2bo4bo
9bo71b3o15b2o$60b4o4b2o6bo9b2o5b2o$44bo16b4o8bobo8b2o3bo8b2o$43bobo5b
2o8bo2bo8b2o11b2o10b2o$34bo6b2o3bo14b4o13bo8bo2bo57b2o5b2o7b3o$33bo7b
2o3bo4bobob2o3b4o12b2o10bobo21bo35b2o5b2o7bo$7b5o21b3o5b2o3bo5b2o3bo2b
o16b2o34b2o50bo12b2o$6bob3obo25b2o3bobo10bo55b2o38b2o19b2o3b2o$7bo3bo
25bobo4bo8bo2bo95b2o19b2o$8b3o26bo136bo$9bo26b2o132b4o$169bo3bo$26bo
36bo5bobo97b3o$26bobo6b2o4bo4b2o16bo4b2o100b2o$7bo18b2o6bo2bobo3bobo2b
o13b3o5bo102bo$7bo26b3o9b3o125bo4b2o56bobo$6bobo5bo22b2o5b2o29b2o96bo
5b2o52b3o3bo$5b2ob2o2bobo21bo2b5o2bo28b2o156b2o5b2o$4bo5bo2b2o21b2o7b
2o172b2o8bo6bo3b2o$7bo211b3o7bob2o2b2obo$4b2o3b2o60bo55bo92bo2bobob2o
2bo6bo3bo$23b2o28b2o14bobo11b2o28b2o13b2o89b2o2b2o3b4o3bo6bo2bo$22b4o
13b2o11b4o14b2o10b4o26b4o11b2o88bo2b2o2bo2bo8b6o2bobo$22b2ob2o10b2ob2o
10b2ob2o25b2ob2o25b2ob2o100bo2b2o3bo18bo2bo$o23b2o11b4o13b2o28b2o28b2o
101bo2b2o2bo2bo8b6o2bobo$3o35b2o52b4o26b4o93b2o2b2o3b4o3bo6bo2bo$3bo5b
2o80bo3bo25bo3bo94bo2bobob2o2bo6bo3bo$2b2o5bo85bo29bo93b3o7bob2o2b2obo
$10b3o47b2o29bo2bo26bo2bo94b2o8bo6bo3b2o$12bo4b2o41bo5bo111bo54b2o5b2o
$18b2o32bo5bobo5b2o111bo53b3o3bo$17bo34bobo3b2o5bobo9b2o98b3o48bo8bobo
$35bo17bobo22bo147b3o$2b2obob2o26b2o16bo2bo21bobo7b2o135bo$2bo5bo21b2o
4b2o15bobo17b2o4b2o7b2o135b2o$3bo3bo18b2o2b2o4b3o13bobo17b2o11b2o10bo
4bo$4b3o3bo15b2o2b2o4b2o7bobo4bo21bo9b3o10bo4bobo$10b2o23b2o9b2o37b2o
10bo7b2o$9bobo23bo10bo41b2o2b2o11b2o4b2o$88b2o2bo2b2o8b2o4b2o116b2o5b
2o$93b4o5bobo124b2o5b2o$94bo7bo117bo$217b3o12b2o$213b2obo15b2o$7bo43bo
161bo4bo$7bo43b2o161b3o$6bobo30bobo8bobo$5b2ob2o29bo3bo165b2o$4bo5bo
18b2o12bo10b2o153b2o$7bo21b2o8bo4bo7bo2bo7bo24b2o9b2o$4b2o3b2o32bo7bo
7b2o3bo22b2o9bobo104b2o5b2o$39bo3bo7bo6bo5bo17bo6bo7b3o4b2ob3o95b2o5b
2o$39bobo9bo7b5o17bobo12b3o4bo2b4o$6bo45bo2bo18b2o3b2o3bo12b3o4b2o$6bo
47b2o18b2o3b2o3bo13bobo$5bo73b2o3bo14b2o$81bobo$82bo$7b2o$7b2o200bo$
208b2o$208b3o$210b2o$210b2o5$164b2o$163b3o$160bob2o15bo$147bo12bo2bo8b
3o4bobo$146bobo11bob2o16bobo$136b2o7bob2o14b3o2b2o2bo7bo2bo3b2o$79bo
55bobo6b2ob2o15b2o2bo3bo7bobo4b2o$78bobo53bo6b3obob2o20bo2bo6bobo$77bo
b2o15b2o27b2o7bo2bo2bo2bo2bobo20b2o8bo$53b2o16b2o3b2ob2o14bobo27b2o7bo
6b2o4bo$53b2o16b2o4bob2o13bo6b2o32bobo$78bobo13bo2bo2bo2bob2o29b2o63bo
$79bo5bo8bo6b2o2b2o10b2o42bo39b3o$85bobo7bobo19bobo28bobo10bobo40bo$
85b2o9b2o14b2o6bo11bobo14b2o10b2o40b2o$104bo6bo2bo2bo2bo10bo2bo4bo9bo$
104b4o4b2o6bo9b2o5b2o$88bo16b4o8bobo8b2o3bo8b2o$87bobo5b2o8bo2bo8b2o
11b2o10b2o$78bo6b2o3bo14b4o13bo8bo2bo57b2o5b2o7b3o$77bo7b2o3bo4bobob2o
3b4o12b2o10bobo21bo35b2o5b2o7bo$51b5o21b3o5b2o3bo5b2o3bo2bo16b2o34b2o
50bo$50bob3obo25b2o3bobo10bo55b2o38b2o19b2o$51bo3bo25bobo4bo8bo2bo95b
2o19b2o$52b3o26bo136bo$53bo26b2o132b4o$213bo3bo$70bo36bo5bobo97b3o$70b
obo6b2o4bo4b2o16bo4b2o100b2o$51bo18b2o6bo2bobo3bobo2bo13b3o5bo102bo$
51bo26b3o9b3o125bo4b2o56bobo$50bobo5bo22b2o5b2o29b2o96bo5b2o52b3o3bo$
49b2ob2o2bobo21bo2b5o2bo28b2o156b2o5b2o$48bo5bo2b2o21b2o7b2o172b2o8bo
6bo3b2o$51bo211b3o7bob2o2b2obo$48b2o3b2o60bo55bo92bo2bobob2o2bo6bo3bo$
67b2o28b2o14bobo11b2o28b2o13b2o89b2o2b2o3b4o3bo6bo2bo$66b4o13b2o11b4o
14b2o10b4o26b4o11b2o88bo2b2o2bo2bo8b6o2bobo$66b2ob2o10b2ob2o10b2ob2o
25b2ob2o25b2ob2o100bo2b2o3bo18bo2bo$44bo23b2o11b4o13b2o28b2o28b2o101bo
2b2o2bo2bo8b6o2bobo$44b3o35b2o52b4o26b4o93b2o2b2o3b4o3bo6bo2bo$47bo5b
2o80bo3bo25bo3bo94bo2bobob2o2bo6bo3bo$46b2o5bo85bo29bo93b3o7bob2o2b2ob
o$54b3o47b2o29bo2bo26bo2bo94b2o8bo6bo3b2o$56bo4b2o41bo5bo111bo54b2o5b
2o$62b2o32bo5bobo5b2o111bo53b3o3bo$61bo34bobo3b2o5bobo9b2o98b3o48bo8bo
bo$79bo17bobo22bo147b3o$46b2obob2o26b2o16bo2bo21bobo7b2o135bo$46bo5bo
21b2o4b2o15bobo17b2o4b2o7b2o135b2o$47bo3bo18b2o2b2o4b3o13bobo17b2o11b
2o10bo4bo$48b3o3bo15b2o2b2o4b2o7bobo4bo21bo9b3o10bo4bobo$54b2o23b2o9b
2o37b2o10bo7b2o$53bobo23bo10bo41b2o2b2o11b2o4b2o$132b2o2bo2b2o8b2o4b2o
116b2o5b2o$137b4o5bobo124b2o5b2o$138bo7bo117bo$261b3o12b2o$257b2obo15b
2o$51bo43bo161bo4bo$51bo43b2o161b3o$50bobo30bobo8bobo$49b2ob2o29bo3bo
165b2o$48bo5bo18b2o12bo10b2o153b2o$51bo21b2o8bo4bo7bo2bo7bo24b2o9b2o$
48b2o3b2o32bo7bo7b2o3bo22b2o9bobo104b2o5b2o$83bo3bo7bo6bo5bo17bo6bo7b
3o4b2ob3o95b2o5b2o$83bobo9bo7b5o17bobo12b3o4bo2b4o$50bo45bo2bo18b2o3b
2o3bo12b3o4b2o$50bo47b2o18b2o3b2o3bo13bobo$49bo73b2o3bo14b2o$125bobo$
126bo$51b2o$51b2o200bo$252b2o$252b3o$254b2o$254b2o5$208b2o$207b3o$204b
ob2o15bo$191bo12bo2bo8b3o4bobo$190bobo11bob2o16bobo$180b2o7bob2o14b3o
2b2o2bo7bo2bo3b2o$123bo55bobo6b2ob2o15b2o2bo3bo7bobo4b2o$122bobo53bo6b
3obob2o20bo2bo6bobo$121bob2o15b2o27b2o7bo2bo2bo2bo2bobo20b2o8bo$97b2o
16b2o3b2ob2o14bobo27b2o7bo6b2o4bo$97b2o16b2o4bob2o13bo6b2o32bobo$122bo
bo13bo2bo2bo2bob2o29b2o63bo$123bo5bo8bo6b2o2b2o10b2o42bo39b3o$129bobo
7bobo19bobo28bobo10bobo40bo$129b2o9b2o14b2o6bo11bobo14b2o10b2o40b2o$
148bo6bo2bo2bo2bo10bo2bo4bo9bo$148b4o4b2o6bo9b2o5b2o$132bo16b4o8bobo8b
2o3bo8b2o$131bobo5b2o8bo2bo8b2o11b2o10b2o$122bo6b2o3bo14b4o13bo8bo2bo
57b2o5b2o7b3o$121bo7b2o3bo4bobob2o3b4o12b2o10bobo21bo35b2o5b2o7bo$95b
5o21b3o5b2o3bo5b2o3bo2bo16b2o34b2o50bo$94bob3obo25b2o3bobo10bo55b2o38b
2o19b2o$95bo3bo25bobo4bo8bo2bo95b2o19b2o$96b3o26bo136bo$97bo26b2o132b
4o$257bo3bo$114bo36bo5bobo97b3o$114bobo6b2o4bo4b2o16bo4b2o100b2o$95bo
18b2o6bo2bobo3bobo2bo13b3o5bo102bo$95bo26b3o9b3o125bo4b2o56bobo$94bobo
5bo22b2o5b2o29b2o96bo5b2o52b3o3bo$93b2ob2o2bobo21bo2b5o2bo28b2o156b2o
5b2o$92bo5bo2b2o21b2o7b2o172b2o8bo6bo3b2o$95bo211b3o7bob2o2b2obo$92b2o
3b2o60bo55bo92bo2bobob2o2bo6bo3bo$111b2o28b2o14bobo11b2o28b2o13b2o89b
2o2b2o3b4o3bo6bo2bo$110b4o13b2o11b4o14b2o10b4o26b4o11b2o88bo2b2o2bo2bo
8b6o2bobo$110b2ob2o10b2ob2o10b2ob2o25b2ob2o25b2ob2o100bo2b2o3bo18bo2bo
$88bo23b2o11b4o13b2o28b2o28b2o101bo2b2o2bo2bo8b6o2bobo$88b3o35b2o52b4o
26b4o93b2o2b2o3b4o3bo6bo2bo$91bo5b2o80bo3bo25bo3bo94bo2bobob2o2bo6bo3b
o$90b2o5bo85bo29bo93b3o7bob2o2b2obo$98b3o47b2o29bo2bo26bo2bo94b2o8bo6b
o3b2o$100bo4b2o41bo5bo111bo54b2o5b2o$106b2o32bo5bobo5b2o111bo53b3o3bo$
105bo34bobo3b2o5bobo9b2o98b3o48bo8bobo$123bo17bobo22bo147b3o$90b2obob
2o26b2o16bo2bo21bobo7b2o135bo$90bo5bo21b2o4b2o15bobo17b2o4b2o7b2o135b
2o$91bo3bo18b2o2b2o4b3o13bobo17b2o11b2o10bo4bo$92b3o3bo15b2o2b2o4b2o7b
obo4bo21bo9b3o10bo4bobo$98b2o23b2o9b2o37b2o10bo7b2o$97bobo23bo10bo41b
2o2b2o11b2o4b2o$176b2o2bo2b2o8b2o4b2o116b2o5b2o$181b4o5bobo124b2o5b2o$
182bo7bo117bo$305b3o12b2o$301b2obo15b2o$95bo43bo161bo4bo$95bo43b2o161b
3o$94bobo30bobo8bobo$93b2ob2o29bo3bo165b2o$92bo5bo18b2o12bo10b2o153b2o
$95bo21b2o8bo4bo7bo2bo7bo24b2o9b2o$92b2o3b2o32bo7bo7b2o3bo22b2o9bobo
104b2o5b2o$127bo3bo7bo6bo5bo17bo6bo7b3o4b2ob3o95b2o5b2o$127bobo9bo7b5o
17bobo12b3o4bo2b4o$94bo45bo2bo18b2o3b2o3bo12b3o4b2o$94bo47b2o18b2o3b2o
3bo13bobo$93bo73b2o3bo14b2o$169bobo$170bo$95b2o$95b2o200bo$296b2o$296b
3o$298b2o$298b2o5$252b2o$251b3o$248bob2o15bo$235bo12bo2bo8b3o4bobo$
234bobo11bob2o16bobo$224b2o7bob2o14b3o2b2o2bo7bo2bo3b2o$167bo55bobo6b
2ob2o15b2o2bo3bo7bobo4b2o$166bobo53bo6b3obob2o20bo2bo6bobo$165bob2o15b
2o27b2o7bo2bo2bo2bo2bobo20b2o8bo$141b2o16b2o3b2ob2o14bobo27b2o7bo6b2o
4bo$141b2o16b2o4bob2o13bo6b2o32bobo$166bobo13bo2bo2bo2bob2o29b2o63bo$
167bo5bo8bo6b2o2b2o10b2o42bo39b3o$173bobo7bobo19bobo28bobo10bobo40bo$
173b2o9b2o14b2o6bo11bobo14b2o10b2o40b2o$192bo6bo2bo2bo2bo10bo2bo4bo9bo
$192b4o4b2o6bo9b2o5b2o$176bo16b4o8bobo8b2o3bo8b2o$175bobo5b2o8bo2bo8b
2o11b2o10b2o$166bo6b2o3bo14b4o13bo8bo2bo57b2o5b2o7b3o$165bo7b2o3bo4bob
ob2o3b4o12b2o10bobo21bo35b2o5b2o7bo$139b5o21b3o5b2o3bo5b2o3bo2bo16b2o
34b2o50bo$138bob3obo25b2o3bobo10bo55b2o38b2o19b2o$139bo3bo25bobo4bo8bo
2bo95b2o19b2o$140b3o26bo136bo$141bo26b2o132b4o$301bo3bo$158bo36bo5bobo
97b3o$158bobo6b2o4bo4b2o16bo4b2o100b2o$139bo18b2o6bo2bobo3bobo2bo13b3o
5bo102bo$139bo26b3o9b3o125bo4b2o56bobo$138bobo5bo22b2o5b2o29b2o96bo5b
2o52b3o3bo$137b2ob2o2bobo21bo2b5o2bo28b2o156b2o5b2o$136bo5bo2b2o21b2o
7b2o172b2o8bo6bo3b2o$139bo211b3o7bob2o2b2obo$136b2o3b2o60bo55bo92bo2bo
bob2o2bo6bo3bo$155b2o28b2o14bobo11b2o28b2o13b2o89b2o2b2o3b4o3bo6bo2bo$
154b4o13b2o11b4o14b2o10b4o26b4o11b2o88bo2b2o2bo2bo8b6o2bobo$154b2ob2o
10b2ob2o10b2ob2o25b2ob2o25b2ob2o100bo2b2o3bo18bo2bo$132bo23b2o11b4o13b
2o28b2o28b2o101bo2b2o2bo2bo8b6o2bobo$132b3o35b2o52b4o26b4o93b2o2b2o3b
4o3bo6bo2bo$135bo5b2o80bo3bo25bo3bo94bo2bobob2o2bo6bo3bo$134b2o5bo85bo
29bo93b3o7bob2o2b2obo$142b3o47b2o29bo2bo26bo2bo94b2o8bo6bo3b2o$144bo4b
2o41bo5bo111bo54b2o5b2o$150b2o32bo5bobo5b2o111bo53b3o3bo$149bo34bobo3b
2o5bobo9b2o98b3o48bo8bobo$167bo17bobo22bo147b3o$134b2obob2o26b2o16bo2b
o21bobo7b2o135bo$134bo5bo21b2o4b2o15bobo17b2o4b2o7b2o135b2o$135bo3bo
18b2o2b2o4b3o13bobo17b2o11b2o10bo4bo$136b3o3bo15b2o2b2o4b2o7bobo4bo21b
o9b3o10bo4bobo$142b2o23b2o9b2o37b2o10bo7b2o$141bobo23bo10bo41b2o2b2o
11b2o4b2o$220b2o2bo2b2o8b2o4b2o116b2o5b2o$225b4o5bobo124b2o5b2o$226bo
7bo117bo$349b3o12b2o$345b2obo15b2o$139bo43bo161bo4bo$139bo43b2o161b3o$
138bobo30bobo8bobo$137b2ob2o29bo3bo165b2o$136bo5bo18b2o12bo10b2o153b2o
$139bo21b2o8bo4bo7bo2bo7bo24b2o9b2o$136b2o3b2o32bo7bo7b2o3bo22b2o9bobo
104b2o5b2o$171bo3bo7bo6bo5bo17bo6bo7b3o4b2ob3o95b2o5b2o$171bobo9bo7b5o
17bobo12b3o4bo2b4o$138bo45bo2bo18b2o3b2o3bo12b3o4b2o$138bo47b2o18b2o3b
2o3bo13bobo$137bo73b2o3bo14b2o$213bobo$214bo$139b2o$139b2o200bo$340b2o
$340b3o$342b2o$342b2o5$296b2o$295b3o$292bob2o15bo$279bo12bo2bo8b3o4bob
o$278bobo11bob2o16bobo$268b2o7bob2o14b3o2b2o2bo7bo2bo3b2o$211bo55bobo
6b2ob2o15b2o2bo3bo7bobo4b2o$210bobo53bo6b3obob2o20bo2bo6bobo$209bob2o
15b2o27b2o7bo2bo2bo2bo2bobo20b2o8bo$185b2o16b2o3b2ob2o14bobo27b2o7bo6b
2o4bo$185b2o16b2o4bob2o13bo6b2o32bobo$210bobo13bo2bo2bo2bob2o29b2o63bo
$211bo5bo8bo6b2o2b2o10b2o42bo39b3o$217bobo7bobo19bobo28bobo10bobo40bo$
217b2o9b2o14b2o6bo11bobo14b2o10b2o40b2o$236bo6bo2bo2bo2bo10bo2bo4bo9bo
$236b4o4b2o6bo9b2o5b2o$220bo16b4o8bobo8b2o3bo8b2o$219bobo5b2o8bo2bo8b
2o11b2o10b2o$210bo6b2o3bo14b4o13bo8bo2bo57b2o5b2o7b3o$209bo7b2o3bo4bob
ob2o3b4o12b2o10bobo21bo35b2o5b2o7bo$183b5o21b3o5b2o3bo5b2o3bo2bo16b2o
34b2o50bo$182bob3obo25b2o3bobo10bo55b2o38b2o19b2o$183bo3bo25bobo4bo8bo
2bo95b2o19b2o$184b3o26bo136bo$185bo26b2o132b4o$345bo3bo$202bo36bo5bobo
97b3o$202bobo6b2o4bo4b2o16bo4b2o100b2o$183bo18b2o6bo2bobo3bobo2bo13b3o
5bo102bo$183bo26b3o9b3o125bo4b2o56bobo$182bobo5bo22b2o5b2o29b2o96bo5b
2o52b3o3bo$181b2ob2o2bobo21bo2b5o2bo28b2o156b2o5b2o$180bo5bo2b2o21b2o
7b2o172b2o8bo6bo3b2o$183bo211b3o7bob2o2b2obo$180b2o3b2o60bo55bo92bo2bo
bob2o2bo6bo3bo$199b2o28b2o14bobo11b2o28b2o13b2o89b2o2b2o3b4o3bo6bo2bo$
198b4o13b2o11b4o14b2o10b4o26b4o11b2o88bo2b2o2bo2bo8b6o2bobo$198b2ob2o
10b2ob2o10b2ob2o25b2ob2o25b2ob2o100bo2b2o3bo18bo2bo$176bo23b2o11b4o13b
2o28b2o28b2o101bo2b2o2bo2bo8b6o2bobo$176b3o35b2o52b4o26b4o93b2o2b2o3b
4o3bo6bo2bo$179bo5b2o80bo3bo25bo3bo94bo2bobob2o2bo6bo3bo$178b2o5bo85bo
29bo93b3o7bob2o2b2obo$186b3o47b2o29bo2bo26bo2bo94b2o8bo6bo3b2o$188bo4b
2o41bo5bo111bo54b2o5b2o$194b2o32bo5bobo5b2o111bo53b3o3bo$193bo34bobo3b
2o5bobo9b2o98b3o48bo8bobo$211bo17bobo22bo147b3o$178b2obob2o26b2o16bo2b
o21bobo7b2o135bo$178bo5bo21b2o4b2o15bobo17b2o4b2o7b2o135b2o$179bo3bo
18b2o2b2o4b3o13bobo17b2o11b2o10bo4bo$180b3o3bo15b2o2b2o4b2o7bobo4bo21b
o9b3o10bo4bobo$186b2o23b2o9b2o37b2o10bo7b2o$185bobo23bo10bo41b2o2b2o
11b2o4b2o$264b2o2bo2b2o8b2o4b2o116b2o5b2o$269b4o5bobo124b2o5b2o$270bo
7bo117bo$393b3o12b2o$389b2obo15b2o$183bo43bo161bo4bo$183bo43b2o161b3o$
182bobo30bobo8bobo$181b2ob2o29bo3bo165b2o$180bo5bo18b2o12bo10b2o153b2o
$183bo21b2o8bo4bo7bo2bo7bo24b2o9b2o$180b2o3b2o32bo7bo7b2o3bo22b2o9bobo
104b2o5b2o$215bo3bo7bo6bo5bo17bo6bo7b3o4b2ob3o95b2o5b2o$215bobo9bo7b5o
17bobo12b3o4bo2b4o$182bo45bo2bo18b2o3b2o3bo12b3o4b2o$182bo47b2o18b2o3b
2o3bo13bobo$181bo73b2o3bo14b2o$257bobo$258bo$183b2o$183b2o200bo$384b2o
$384b3o$386b2o$386b2o5$340b2o$339b3o$336bob2o15bo$323bo12bo2bo8b3o4bob
o$322bobo11bob2o16bobo$312b2o7bob2o14b3o2b2o2bo7bo2bo3b2o$255bo55bobo
6b2ob2o15b2o2bo3bo7bobo4b2o$254bobo53bo6b3obob2o20bo2bo6bobo$253bob2o
15b2o27b2o7bo2bo2bo2bo2bobo20b2o8bo$229b2o16b2o3b2ob2o14bobo27b2o7bo6b
2o4bo$229b2o16b2o4bob2o13bo6b2o32bobo$254bobo13bo2bo2bo2bob2o29b2o63bo
$255bo5bo8bo6b2o2b2o10b2o42bo39b3o$261bobo7bobo19bobo28bobo10bobo40bo$
261b2o9b2o14b2o6bo11bobo14b2o10b2o40b2o$280bo6bo2bo2bo2bo10bo2bo4bo9bo
$280b4o4b2o6bo9b2o5b2o$264bo16b4o8bobo8b2o3bo8b2o$263bobo5b2o8bo2bo8b
2o11b2o10b2o$254bo6b2o3bo14b4o13bo8bo2bo57b2o5b2o7b3o$253bo7b2o3bo4bob
ob2o3b4o12b2o10bobo21bo35b2o5b2o7bo$227b5o21b3o5b2o3bo5b2o3bo2bo16b2o
34b2o50bo$226bob3obo25b2o3bobo10bo55b2o38b2o19b2o$227bo3bo25bobo4bo8bo
2bo95b2o19b2o$228b3o26bo136bo$229bo26b2o132b4o$389bo3bo$246bo36bo5bobo
97b3o$246bobo6b2o4bo4b2o16bo4b2o100b2o$227bo18b2o6bo2bobo3bobo2bo13b3o
5bo102bo$227bo26b3o9b3o125bo4b2o56bobo$226bobo5bo22b2o5b2o29b2o96bo5b
2o52b3o3bo$225b2ob2o2bobo21bo2b5o2bo28b2o156b2o5b2o$224bo5bo2b2o21b2o
7b2o172b2o8bo6bo3b2o$227bo211b3o7bob2o2b2obo$224b2o3b2o60bo55bo92bo2bo
bob2o2bo6bo3bo$243b2o28b2o14bobo11b2o28b2o13b2o89b2o2b2o3b4o3bo6bo2bo$
242b4o13b2o11b4o14b2o10b4o26b4o11b2o88bo2b2o2bo2bo8b6o2bobo$242b2ob2o
10b2ob2o10b2ob2o25b2ob2o25b2ob2o100bo2b2o3bo18bo2bo$220bo23b2o11b4o13b
2o28b2o28b2o101bo2b2o2bo2bo8b6o2bobo$220b3o35b2o52b4o26b4o93b2o2b2o3b
4o3bo6bo2bo$223bo5b2o80bo3bo25bo3bo94bo2bobob2o2bo6bo3bo$222b2o5bo85bo
29bo93b3o7bob2o2b2obo$230b3o47b2o29bo2bo26bo2bo94b2o8bo6bo3b2o$232bo4b
2o41bo5bo111bo54b2o5b2o$238b2o32bo5bobo5b2o111bo53b3o3bo$237bo34bobo3b
2o5bobo9b2o98b3o48bo8bobo$255bo17bobo22bo147b3o$222b2obob2o26b2o16bo2b
o21bobo7b2o135bo$222bo5bo21b2o4b2o15bobo17b2o4b2o7b2o135b2o$223bo3bo
18b2o2b2o4b3o13bobo17b2o11b2o10bo4bo$224b3o3bo15b2o2b2o4b2o7bobo4bo21b
o9b3o10bo4bobo$230b2o23b2o9b2o37b2o10bo7b2o$229bobo23bo10bo41b2o2b2o
11b2o4b2o$308b2o2bo2b2o8b2o4b2o116b2o5b2o$313b4o5bobo124b2o5b2o$314bo
7bo117bo$437b3o12b2o$433b2obo15b2o$227bo43bo161bo4bo$227bo43b2o161b3o$
226bobo30bobo8bobo$225b2ob2o29bo3bo165b2o$224bo5bo18b2o12bo10b2o153b2o
$227bo21b2o8bo4bo7bo2bo7bo24b2o9b2o$224b2o3b2o32bo7bo7b2o3bo22b2o9bobo
104b2o5b2o$259bo3bo7bo6bo5bo17bo6bo7b3o4b2ob3o95b2o5b2o$259bobo9bo7b5o
17bobo12b3o4bo2b4o$226bo45bo2bo18b2o3b2o3bo12b3o4b2o$226bo47b2o18b2o3b
2o3bo13bobo$225bo73b2o3bo14b2o$301bobo$302bo$227b2o$227b2o200bo$428b2o
$428b3o$430b2o$430b2o5$384b2o$383b3o$380bob2o15bo$367bo12bo2bo8b3o4bob
o$366bobo11bob2o16bobo$356b2o7bob2o14b3o2b2o2bo7bo2bo3b2o$299bo55bobo
6b2ob2o15b2o2bo3bo7bobo4b2o$298bobo53bo6b3obob2o20bo2bo6bobo$297bob2o
15b2o27b2o7bo2bo2bo2bo2bobo20b2o8bo$273b2o16b2o3b2ob2o14bobo27b2o7bo6b
2o4bo$273b2o16b2o4bob2o13bo6b2o32bobo$298bobo13bo2bo2bo2bob2o29b2o63bo
$299bo5bo8bo6b2o2b2o10b2o42bo39b3o$305bobo7bobo19bobo28bobo10bobo40bo$
305b2o9b2o14b2o6bo11bobo14b2o10b2o40b2o$324bo6bo2bo2bo2bo10bo2bo4bo9bo
$324b4o4b2o6bo9b2o5b2o$308bo16b4o8bobo8b2o3bo8b2o$307bobo5b2o8bo2bo8b
2o11b2o10b2o$298bo6b2o3bo14b4o13bo8bo2bo57b2o5b2o7b3o$297bo7b2o3bo4bob
ob2o3b4o12b2o10bobo21bo35b2o5b2o7bo$271b5o21b3o5b2o3bo5b2o3bo2bo16b2o
34b2o50bo$270bob3obo25b2o3bobo10bo55b2o38b2o19b2o$271bo3bo25bobo4bo8bo
2bo95b2o19b2o$272b3o26bo136bo$273bo26b2o132b4o$433bo3bo$290bo36bo5bobo
97b3o$290bobo6b2o4bo4b2o16bo4b2o100b2o$271bo18b2o6bo2bobo3bobo2bo13b3o
5bo102bo$271bo26b3o9b3o125bo4b2o56bobo$270bobo5bo22b2o5b2o29b2o96bo5b
2o52b3o3bo$269b2ob2o2bobo21bo2b5o2bo28b2o156b2o5b2o$268bo5bo2b2o21b2o
7b2o172b2o8bo6bo3b2o$271bo211b3o7bob2o2b2obo$268b2o3b2o60bo55bo92bo2bo
bob2o2bo6bo3bo$287b2o28b2o14bobo11b2o28b2o13b2o89b2o2b2o3b4o3bo6bo2bo$
286b4o13b2o11b4o14b2o10b4o26b4o11b2o88bo2b2o2bo2bo8b6o2bobo$286b2ob2o
10b2ob2o10b2ob2o25b2ob2o25b2ob2o100bo2b2o3bo18bo2bo$264bo23b2o11b4o13b
2o28b2o28b2o101bo2b2o2bo2bo8b6o2bobo$264b3o35b2o52b4o26b4o93b2o2b2o3b
4o3bo6bo2bo$267bo5b2o80bo3bo25bo3bo94bo2bobob2o2bo6bo3bo$266b2o5bo85bo
29bo93b3o7bob2o2b2obo$274b3o47b2o29bo2bo26bo2bo94b2o8bo6bo3b2o$276bo4b
2o41bo5bo111bo54b2o5b2o$282b2o32bo5bobo5b2o111bo53b3o3bo$281bo34bobo3b
2o5bobo9b2o98b3o48bo8bobo$299bo17bobo22bo147b3o$266b2obob2o26b2o16bo2b
o21bobo7b2o135bo$266bo5bo21b2o4b2o15bobo17b2o4b2o7b2o135b2o$267bo3bo
18b2o2b2o4b3o13bobo17b2o11b2o10bo4bo$268b3o3bo15b2o2b2o4b2o7bobo4bo21b
o9b3o10bo4bobo$274b2o23b2o9b2o37b2o10bo7b2o$273bobo23bo10bo41b2o2b2o
11b2o4b2o$352b2o2bo2b2o8b2o4b2o116b2o5b2o$357b4o5bobo124b2o5b2o$358bo
7bo117bo$481b3o12b2o$477b2obo15b2o$271bo43bo161bo4bo$271bo43b2o161b3o$
270bobo30bobo8bobo$269b2ob2o29bo3bo165b2o$268bo5bo18b2o12bo10b2o153b2o
$271bo21b2o8bo4bo7bo2bo7bo24b2o9b2o$268b2o3b2o32bo7bo7b2o3bo22b2o9bobo
104b2o5b2o$303bo3bo7bo6bo5bo17bo6bo7b3o4b2ob3o95b2o5b2o$303bobo9bo7b5o
17bobo12b3o4bo2b4o$270bo45bo2bo18b2o3b2o3bo12b3o4b2o$270bo47b2o18b2o3b
2o3bo13bobo$269bo73b2o3bo14b2o$345bobo$346bo$271b2o$271b2o200bo$472b2o
$472b3o$474b2o$474b2o5$428b2o$427b3o$424bob2o15bo$411bo12bo2bo8b3o4bob
o$410bobo11bob2o16bobo$400b2o7bob2o14b3o2b2o2bo7bo2bo3b2o$343bo55bobo
6b2ob2o15b2o2bo3bo7bobo4b2o$342bobo53bo6b3obob2o20bo2bo6bobo$341bob2o
15b2o27b2o7bo2bo2bo2bo2bobo20b2o8bo$317b2o16b2o3b2ob2o14bobo27b2o7bo6b
2o4bo$317b2o16b2o4bob2o13bo6b2o32bobo$342bobo13bo2bo2bo2bob2o29b2o63bo
$343bo5bo8bo6b2o2b2o10b2o42bo39b3o$349bobo7bobo19bobo28bobo10bobo40bo$
349b2o9b2o14b2o6bo11bobo14b2o10b2o40b2o$368bo6bo2bo2bo2bo10bo2bo4bo9bo
$368b4o4b2o6bo9b2o5b2o$352bo16b4o8bobo8b2o3bo8b2o$351bobo5b2o8bo2bo8b
2o11b2o10b2o$342bo6b2o3bo14b4o13bo8bo2bo57b2o5b2o7b3o$341bo7b2o3bo4bob
ob2o3b4o12b2o10bobo21bo35b2o5b2o7bo$315b5o21b3o5b2o3bo5b2o3bo2bo16b2o
34b2o50bo$314bob3obo25b2o3bobo10bo55b2o38b2o19b2o$315bo3bo25bobo4bo8bo
2bo95b2o19b2o$316b3o26bo136bo$317bo26b2o132b4o$477bo3bo$334bo36bo5bobo
97b3o$334bobo6b2o4bo4b2o16bo4b2o100b2o$315bo18b2o6bo2bobo3bobo2bo13b3o
5bo102bo$315bo26b3o9b3o125bo4b2o56bobo$314bobo5bo22b2o5b2o29b2o96bo5b
2o52b3o3bo$313b2ob2o2bobo21bo2b5o2bo28b2o156b2o5b2o$312bo5bo2b2o21b2o
7b2o172b2o8bo6bo3b2o$315bo211b3o7bob2o2b2obo$312b2o3b2o60bo55bo92bo2bo
bob2o2bo6bo3bo$331b2o28b2o14bobo11b2o28b2o13b2o89b2o2b2o3b4o3bo6bo2bo$
330b4o13b2o11b4o14b2o10b4o26b4o11b2o88bo2b2o2bo2bo8b6o2bobo$330b2ob2o
10b2ob2o10b2ob2o25b2ob2o25b2ob2o100bo2b2o3bo18bo2bo$308bo23b2o11b4o13b
2o28b2o28b2o101bo2b2o2bo2bo8b6o2bobo$308b3o35b2o52b4o26b4o93b2o2b2o3b
4o3bo6bo2bo$311bo5b2o80bo3bo25bo3bo94bo2bobob2o2bo6bo3bo$310b2o5bo85bo
29bo93b3o7bob2o2b2obo$318b3o47b2o29bo2bo26bo2bo94b2o8bo6bo3b2o$320bo4b
2o41bo5bo111bo54b2o5b2o$326b2o32bo5bobo5b2o111bo53b3o3bo$325bo34bobo3b
2o5bobo9b2o98b3o48bo8bobo$343bo17bobo22bo147b3o$310b2obob2o26b2o16bo2b
o21bobo7b2o135bo$310bo5bo21b2o4b2o15bobo17b2o4b2o7b2o135b2o$311bo3bo
18b2o2b2o4b3o13bobo17b2o11b2o10bo4bo$312b3o3bo15b2o2b2o4b2o7bobo4bo21b
o9b3o10bo4bobo$318b2o23b2o9b2o37b2o10bo7b2o$317bobo23bo10bo41b2o2b2o
11b2o4b2o$396b2o2bo2b2o8b2o4b2o116b2o5b2o$401b4o5bobo124b2o5b2o$402bo
7bo117bo$525b3o12b2o$521b2obo15b2o$315bo43bo161bo4bo$315bo43b2o161b3o$
314bobo30bobo8bobo$313b2ob2o29bo3bo165b2o$312bo5bo18b2o12bo10b2o153b2o
$315bo21b2o8bo4bo7bo2bo7bo24b2o9b2o$312b2o3b2o32bo7bo7b2o3bo22b2o9bobo
104b2o5b2o$347bo3bo7bo6bo5bo17bo6bo7b3o4b2ob3o95b2o5b2o$347bobo9bo7b5o
17bobo12b3o4bo2b4o$314bo45bo2bo18b2o3b2o3bo12b3o4b2o$314bo47b2o18b2o3b
2o3bo13bobo$313bo73b2o3bo14b2o$389bobo$390bo$315b2o$315b2o200bo$516b2o
$516b3o$518b2o$518b2o151$276b2ob2o$275bobobobo$275bobobobo$273b2obo2bo
b2o$272bobo4bo$271bo3bobobob2o$271b3obobobo2bo$274bo2bo2b2o$271b2o$
270bo2b3o3b3o$270bobo9bobo$271bobob2ob2obob2o$273bob2ob2obo$273bobo3bo
bo$274bo5bo2$272b11o$272bo2bobobo2bo2$269b2o6bo6b2o$269bobo3b5o3bobo$
267bobob3o7b3obobo$266bobobobo9bobobobo$266bobobobob2o3b2obobobobo$
267bo3bob2obobob2obo3bo$275b2ob2o$255b2o8bo10bobo10bo8b2o$254b2o3bo4b
2o7b4ob4o7b2o4bo3b2o$253b2o2b2o4bo3b3o3bo7bo3b3o3bo4b2o2b2o$254bo4b5ob
o4bo3b3ob3o3bo4bob5o4bo$258bo4bobo23bobo4bo$255b2o3b2ob2obo7b3ob3o7bob
2ob2o3b2o$258b2o4bo25bo4b2o$248b5o3b2o5bo6b2o2b2o3b2o2b2o6bo5b2o3b5o$
248bo4b2obo2bo10b2o2b3ob3o2b2o10bo2bob2o4bo$248bo6bo18bobobobo18bo6bo$
249bo5b2obo17bobo17bob2o5bo$251b2o2bo3b2o11b4obob4o11b2o3bo2b2o$254bo
17b2o3bo3b2o17bo$252b3o20b2ob2o20b3o$251bo8bo5bo5b3obobob3o5bo5bo8bo$
251bo4bobo2b2o4b2o7bobo7b2o4b2o2bobo4bo$251bo3b2o2bob2ob2ob2ob5obobob
5ob2ob2ob2obo2b2o3bo$252bo21bobobobo21bo$253b21o3bo3b21o2$255b21o3b21o
$254bo21bobo21bo$253bo3b20ob20o3bo$250bobo2bo2bo37bo2bo2bobo$249bo2bob
o4b37o4bobo2bo$248b2o10bo33bo10b2o$247bo13b33o13bo$246b4o12bo29bo12b4o
$245bo4bo12b29o12bo4bo$245bo2bo15bo25bo15bo2bo$245bo2bo16b25o16bo2bo$
246bo19bo21bo19bo$247b4obo14b21o14bob4o$248bo3bo15bo17bo15bo3bo$249bo
19b17o19bo$249bobo18bo13bo18bobo$271b13o$248b3o21bo9bo21b3o$248b2o23b
9o23b2o$248b3o26bo26b3o$274b3ob3o$249bobo23bo3bo23bobo$249bo24bobobobo
24bo$248bo3bo21bobobobo21bo3bo$247b4obo20bo7bo20bob4o$246bo26bo7bo26bo
$245bo2bo24bo2bobo2bo24bo2bo$245bo2bo24b3o3b3o24bo2bo$245bo4bo53bo4bo$
246b4o55b4o$247bo59bo$248b2o55b2o$249bo2bo49bo2bo$250bobo49bobo!

EDIT:
The sqrt(log(t)) limit is only when the building box is counted throughout the evolution. When only the initial box is counted, it can last a lot longer than 2^(x y) where x and y are the initial building box size by growing quickly beyond its building box (as the posted pattern does).


It takes roughly (using Conway chained arrow notation) 2->2->3->6 * 4 generations to stabilize.
I mean, I don't think there's others, because 2^n grows very fast...
zdr wrote:Nice archive.
I am the Retrograde Anomaly.
They will not win.
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