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Silk search results thread

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Silk search results thread

Posted: September 22nd, 2024, 7:57 am
by dvgrn
There's a Silk discussion thread, but a lot of actual Silk search results have been getting posted only to Discord, and/or some discoveries are scattered across a number of different threads.

I'd like to get a good proportion of these Silk search results in one place where they're easier to review -- especially the drifter-type results, where it seems like eventually someone will figure out how to string together some of the wilder results. There are various things that look like signal splitters, but then currently just fizzle out.

I'll unlock this thread as soon as I've gotten the initial set of posts done. Here are links to the Silk search results that have appeared on the forums so far (from relevant mentions of "Silk" in forum posts up to September 22):

June 8, 2024: p10 pipsquirter and explanation on Oscillator Discussion Thread
June 10, 2024: Spartan G-to-W-to-H, used here in Construction Practice.
June 13, 2024: 135-degree LWSS-to-glider on Thread for Discord Crossposts, made into a loop on Useless Discoveries
June 15, 2024: p15 billiard-table oscillator on Oscillator Discussion Thread
June 29, 2024: some mostly rediscovered logic gate components on Thread for Digital Components
June 30, 2024: some eaters and converters for crabs and loafers in Useless Discoveries
July 1, 2024: 180-degree single-to-double signal turn in Faster 2c/3 Wires
July 14, 2024: ten small H-to-G converters and then several more results on July 16, and many more new H-to-G results on July 29, in the H-to-G and H-to-Gn Converter Collection thread
July 23, 2024: HFx144H conduit in The Hunting of the New Herschel Conduits thread
August 8, 2024: new Silk-created catalysts discussed here in the Catalyst Discussion Thread

Re: Silk search results thread

Posted: September 22nd, 2024, 8:46 am
by dvgrn
Now I'm trying to collect interesting stuff from Discord that mostly hasn't made it to the forums (unless I missed seeing it). A lot of it is in the category of "promising results".

None of these quite yet solve the big outstanding problems like 2c/3 signal turning or branching, or direct glider-to-2c/3-signal conversion, or direct 2c/3-signal-to-glider conversion. But they seem like steps in the right direction, and they definitely show that Silk is able to work through some significant areas of search space that have never been reached before.

Here are results and discussion related to a Silk search for glider eaters, back in late May and early June:
On Discord on May 29, 2024, apgoucher wrote:Here's a new double-2c/3-signal termination (or glider eater) found by Silk, which is interesting because it throws off a polyplet which unfortunately needs to be immediately eaten as it would otherwise destroy the still-life. But maybe with a larger search space we can find something that throws off a glider instead:

Code: Select all

x = 74, y = 46, rule = LifeHistory
6.A$6.3A$9.A$4.6A$2A.A$2A.A2.6A$3.A.A.C4.A$3.A.A.C5A$4.2A.A.C5.A$7.A.
C6A$7.A.A.B$6.2A.A.B6A$9.A.A.B4.A$9.A.A.B5A$10.2A.A.B5.A$13.A.B6A$13.
A.A.B$12.2A.A.B6A$15.A.A.B4.A$15.A.A.B5A$16.2A.A.B5.2A23.C$19.A.B6A.A
21.2BC$19.A.A.B5.A21.3CB$18.2A.A.B5A23.4B$21.A.A.B5.A21.4B$21.A.A.B6A
22.4B$22.2A.A.B27.4B$25.A.B4A24.4B$25.A.A.B2.A24.4B.2B$24.2A.ABAB.A
25.5B2A.2A.A$28.A.A.A.2A23.4B.A.A.2A$29.BA.A.2A24.B2.BA.A$29.BA.A29.
3B2A$28.3B2A24.2A2.B.3B$23.2A2.B.3B25.A2.A.2A8.2A$23.A2.A.2A8.2A19.2A
.A2B7.A$25.2A.A2B7.A21.A.A.3B2.BA.A$26.A.A.3B2.BA.A20.A2.3A3B.B2A$25.
A2.3A3B.B2A22.2A2.BA4B$26.2A2.BA4B26.4A4B$28.4A4B26.A2.4B$28.A2.4B28.
2ABAB$29.2ABAB26.3A2.2AB$26.3A2.2AB26.A2.A.2B$26.A2.A.2B28.2A$27.2A!
Here's another seemingly new termination of that same signal type, also from the same Silk search:

Code: Select all

x = 24, y = 27, rule = LifeHistory
.C$2BC$3CB$.4B$2.4B$3.4B$4.4B$5.4B$6.4B.2B$7.5B2A.2A.A$8.4B.A.A.2A$9.
B2.BA.A$11.3B2A$6.2A2.B.3B$6.A2.A.2A$8.2A.A2B$9.A.A.4B$8.A2.3A4B$8.3A
2.BA3B4.2A$11.4A3B2A.A.A$10.A2.B.3B2ABA$10.2AB2A2B2.B2.A$8.2A3.BA2.A.
2A.A$7.A2.A.2A3.2A2.A$8.A.A.A7.A$9.A4.A6.3A$13.2A8.A!
Hmm... glider eaters are really quite under-explored; I don't recognise any of these for example:

Code: Select all

x = 65, y = 58, rule = B3/S23
45bo$46bo$44b3o2$61b2o$10bo48bo2bo$11bo39b2o2b2o2b3o$9b3o36bo3bo2b2o5b
3o$16b2o26b2o2b4o9bo2bo$16b2o26bo15bobo$5b2o38b7o2bob2o3bo$4bo2bo43b4o
bo5b3o$3bo2bo4bo35b2o7bo7bo$3b2ob2o2bobo34b2o4b2obobo$5bo3bob2o40bob2o
b3o$5bob3o51bo$6bo3b3o47b2o$7b3o2bo$9bo16$9bo$7b3o$bo4bo42b2o$2bo3b2o
41bo$3o48bobo$41bo5b4ob2o$42bo4bo2bo$7bob2o29b3o9b2o$7b2ob3o40bo$2b2o
9bo39bob2o$bobo3b2ob3o37b2obob2o$2bo5bobo38bobobo$8bobo35b2o2bo2bo$9bo
36bo4b2o$47b4o$45bobo2bo$43b3obobo$42bo4bob2o$43b2obobo2bobo$44bobo2b
2ob2o$44bobo3bo$43b2obobobo$47bobo$48bo!
... These came out of an exhaustive search with 7x7 allowed active region and max-active 14. It didn't take very long -- maybe half an hour or so -- and this is without the extra 50x speed boost that would come from using a latest-generation GPU.

... I think that [the Dean Hickerson eater stamp collection eaters] were found with dr a long time ago with a much smaller search space, and then Dean found some others by manually composing together eaters from this search.
On the #cgol channel, Discord wrote: apgoucher — 06/03/2024 7:15 PM: Now that Silk streams out results as they arrive (instead of waiting until the search completes), I decided to try the next size up: max active region of 8x8 and max active population of 16. Within the first 4 minutes it's found this:

Code: Select all

x = 25, y = 33, rule = B3/S23
8bo$9bo$7b3o5$23b2o$23bo$21bobo$21b2o2$4b2ob2o3b2o$3bobob2o2bo2bo$3bo
7bobo3b2o$2ob2o7bo4b2o2b2o$bo19bobo$bob4ob2o4bo8bo$2bo3bobobo2bobo7b2o
$3b2obobobo3bo$4bobobob4o$2bo2bobobo$2b2obobobob5o$4bobob2obo4bo$4bobo
7b2obo$3b2obo6bobobo$2bo3b2o3bo2bo2b2o$o2bobo2bo2b2obobo2bo$2obob2obo
5bo2b2o$3bo2bob5obo$3b2o2bo5bo$9bobo$8b2ob2o!
and soon after it discovered that it also works without the second fishhook eater
(making it much sparkier!)

Kazyan — 06/03/2024 10:40 PM: Oh hey, that on the left is an extension of the loaf spin catalyst. Here's a simplification (also showing how it works without the second fishhook):

Code: Select all

x = 22, y = 24, rule = B3/S23
5bo$6bo$4b3o5$20b2o$20bo$18bobo$18b2o2$4b2o3b2o$4b2o2bo2bo$8bobo3b2o$
9bo4b2o2$3bob2o4bo$b3ob2o3bobo$o10bo$b3ob2o$3bobo$3bobo$4bo!
apgoucher — 06/04/2024 6:48 AM: Completed in < 12 hours with 161 eaters:

Code: Select all

x = 38, y = 4288, rule = B3/S23
9bo$10bo$8b3o5$24b2o$24bo$22bobo$22b2o2$8b2o3b2o$8b2o2bo2bo$12bobo3b2o
$13bo4b2o2b2o$22bobo$7bob2o4bo8bo$5b3ob2o3bobo7b2o$4bo10bo$5b3ob2o$7b
2o2bo$10b2o4$9bo$10bo$8b3o5$24b2o$24bo$22bobo$22b2o2$5b2ob2o3b2o$4bobo
b2o2bo2bo$4bo7bobo3b2o$b2ob2o7bo4b2o2b2o$2bo19bobo$2bob4ob2o4bo8bo$3bo
3bobobo2bobo7b2o$4b2obobobo3bo$5bobobob4o$3bo2bobobo$3b2obobobo2b2o$6b
ob2o3b2o$6bo$5b2o4$9bo$10bo$8b3o5$24b2o$24bo$22bobo$22b2o2$4b2o2b2o3b
2o$5bo2b2o2bo2bo$4bo7bobo3b2o$4b2o7bo4b2o2b2o$2b2o18bobo$bo2b4ob2o4bo
8bo$obo4bobobo2bobo7b2o$obob2obobobo3bo$b2o2bobobob4o$3bo2bobobo$3b2ob
obobo2b2o$6bob2o3b2o$6bo$5b2o4$9bo$10bo$8b3o5$24b2o$24bo$22bobo$22b2o
2$5b2ob2o3b2o$4bobob2o2bo2bo$4bo7bobo3b2o$b2ob2o7bo4b2o2b2o$2bo19bobo$
2bob4ob2o4bo8bo$3bo3bobobo2bobo7b2o$4b2obobobo2bobo$5bobobob3obo$3bo2b
obobo3bo$3b2obobobobo$5bobob2ob2o$5bobo3bo2bo$6b2o3bobo$12bo4$9bo$10bo
$8b3o5$24b2o$24bo$22bobo$22b2o2$5b2ob2o3b2o$6bob2o2bo2bo$4bo7bobo3b2o$
4b2o7bo4b2o2b2o$2b2o18bobo$bo2b4ob2o4bo8bo$obo4bobobo2bobo7b2o$obob2ob
obobo3bo$b2o2bobobob4o$3bo2bobobo$3b2obobobobo$4bo2b2ob2obo$4bo4bo3bo$
5b3obo3b2o$7b2o4$9bo$10bo$8b3o5$24b2o$24bo$22bobo$22b2o2$5b2ob2o3b2o$
4bobob2o2bo2bo$4bo7bobo3b2o$b2ob2o7bo4b2o2b2o$2bo19bobo$2bob4ob2o4bo8b
o$3bo3bobobo2bobo7b2o$4b2obobobo3bo$5bobobob4o$3bo2bobobo$3b2obobobob
5o$5bobob2obo4bo$5bobo7b2obo$4b2obo6bobobo$3bo3b2o3bo2bo2b2o$bo2bobo2b
o2b2obobo2bo$b2obob2obo5bo2b2o$4bo2bob5obo$4b2o2bo5bo$10bobo$9b2ob2o4$
9bo$10bo$8b3o5$24b2o$24bo$22bobo$22b2o2$4b2o2b2o3b2o$5bo2b2o2bo2bo$4bo
7bobo3b2o$4b2o7bo4b2o2b2o$2b2o18bobo$bo2b4ob2o4bo8bo$obo4bobobo2bobo7b
2o$obob2obobobo3bo$b2o2bobobob4o$3bo2bobobo$3b2obobobob5o$5bobob2obo4b
o$5bobo7b2obo$4b2obo6bobobo$3bo3b2o3bo2bo2b2o$bo2bobo2bo2b2obobo$b2obo
b2obo5bobo$4bo2bob5ob2o$4b2o2bo5bo$9b4obo$11bobo4$9bo$10bo$8b3o5$24b2o
$24bo$22bobo$22b2o2$8b2o3b2o$8b2o2bo2bo$3b2o7bobo3b2o$3bo9bo4b2o2b2o$
2obo18bobo$o2bob2o2b2o4bo8bo$2b2obobo2bo3bobo7b2o$6b2obo5bo$8b2obo$4b
3o3b2o$4bo2b2o$7bo$8bo$7b2o4$9bo$10bo$8b3o5$24b2o$24bo$22bobo$22b2o2$
8b2o3b2o$8b2o2bo2bo$12bobo3b2o$13bo4b2o2$7bob2o4bo$5b3ob2o3bobo$4bo10b
o$5b3ob2o$7bobo2bo$11b2o4$9bo$10bo$8b3o5$24b2o$24bo$22bobo$22b2o2$4b2o
2b2o3b2o$5bo2b2o2bo2bo$4bo7bobo3b2o$4b2o7bo4b2o$2b2o$bo2b4ob2o4bo$obo
4bobobo2bobo$obob2obobobo3bo$b2o2bobobob4o$3bo2bobobo$3b2obobobo2b2o$
6bob2o3b2o$6bo$5b2o4$9bo$10bo$8b3o5$24b2o$24bo$22bobo$22b2o2$5b2ob2o3b
2o$4bobob2o2bo2bo$4bo7bobo3b2o$b2ob2o7bo4b2o$2bo$2bob4ob2o4bo$3bo3bobo
bo2bobo$4b2obobobo3bo$5bobobob4o$3bo2bobobo$3b2obobobo2b2o$6bob2o3b2o$
6bo$5b2o4$9bo$10bo$8b3o5$24b2o$24bo$22bobo$22b2o2$5b2ob2o3b2o$6bob2o2b
o2bo$4bo7bobo3b2o$4b2o7bo4b2o$2b2o$bo2b4ob2o4bo$obo4bobobo2bobo$obob2o
bobobo2bo2bo$b2o2bobobob3o2b2o$3bo2bobobo$3b2obobobob2o$4bo2b2ob2obo$
4bo4bo$5b3obo$7b2o4$9bo$10bo$8b3o5$24b2o$24bo$22bobo$22b2o2$5b2ob2o3b
2o$4bobob2o2bo2bo$4bo7bobo3b2o$b2ob2o7bo4b2o$2bo$2bob4ob2o4bo$3bo3bobo
bo2bobo$4b2obobobo3bo$5bobobob4o$3bo2bobobo$3b2obobobobo$4bo2b2ob2obo$
4bo4bo3bo$5b3obo3b2o$7b2o4$9bo$10bo$8b3o5$24b2o$24bo$22bobo$22b2o2$5b
2ob2o3b2o$4bobob2o2bo2bo$4bo7bobo3b2o$b2ob2o7bo4b2o$2bo$2bob4ob2o4bo$
3bo3bobobo2bobo$4b2obobobo3bo$5bobobob4o$3bo2bobobo8b2o$3b2obobobob5o
2bo$5bobob2obo4bobo$5bobo7b2obo$4b2obo6bobo$3bo3b2o3bo2bo2bo$bo2bobo2b
o2b2obob2o$b2obob2obo5bo$4bo2bob5obo$4b2o2bo5bo$10bo2bo$9b2o2b2o4$9bo$
10bo$8b3o5$24b2o$24bo$22bobo$22b2o2$4b2o2b2o3b2o$5bo2b2o2bo2bo$4bo7bob
o3b2o$4b2o7bo4b2o$2b2o$bo2b4ob2o4bo$obo4bobobo2bobo$obob2obobobo3bo$b
2o2bobobob4o$3bo2bobobo$3b2obobobob5o$5bobob2obo4bo$5bobo7b2obo$4b2obo
6bobobo$3bo3b2o3bo2bo2b2o$bo2bobo2bo2b2obobo$b2obob2obo5bobo$4bo2bob5o
b2o$4b2o2bo5bo$9bo2bobo$8b2o2b2o4$9bo$10bo$8b3o5$24b2o$24bo$22bobo$22b
2o2$8b2o3b2o$8b2o2bo2bo$3b2o7bobo3b2o$3bo9bo4b2o$2obo$o2bob2o2b2o4bo$
2b2obobo2bo3bobo$6b2obo5bo$8b2obo$4b3o3b2o$4bo2b2o$7bo$8bo$7b2o4$9bo$
10bo$8b3o8$22b2ob2o$23bob2o$23bo$22b2o$19bo$15b2o2b5o$15bo7bo$16b6o$
21b2o$18bo$17bobo$18bo4$9bo$10bo$8b3o8$22b2o$23bo$23bob2o$22b2o2bo$19b
o4bo$15b2o2b4ob2o$15bo7bo2bo$16b6o3bo$22b3o$18b2o2bo$18b2o4$9bo$10bo$
8b3o9$22b2obo$23bob3o$14b2o7bo4bo$14bobo4bobo3bobo$16bo4b2o3bobo$16b2o
8bo$25b2o$16b2o3b2o6bo$16bo4b2o2b5o$14bobo8bo$14b2o12b2o$20b2o7bo$21bo
2bo4bobo$19bobobobo4b2o$19b2obobobo$22bo3bo$22b2o2b2o4$9bo$10bo$8b3o9$
22b2obo$23bob3o$23bo4bo$21bobo3bobo$21b2o3bobo$26bo$25b2o$21b2o6bo$21b
2o2b5o$25bo$28b2o$20b2o7bo$21bo2bo4bobo$16b2obobobobo4b2o$16bob2obo2b
2o$21bo$21b2o4$9bo$10bo$8b3o9$22b2ob2o$23bob2o$23bo$21bobo$21b2o3$13b
2o6b2o$13bobob2o2b2o$15bob2o$14bo$14b2ob2o$15bobo$15bobo$16bo4$9bo$10b
o$8b3o9$22b2ob2o$23bob2o$23bo$21bobo$21b2o3$21b2o$17b2o2b2o$16bobo$16b
o$15b2o4$9bo$10bo$8b3o9$22b2o$23bo$23bob2o$21bobob2o$21b2o3$21b2o$21b
2o4$9bo$10bo$8b3o9$22b2o$23bo$14b2o7bob2o$14bobo4bobob2o$16bo4b2o$16b
2o2$16b2o3b2o$16bo4b2o$14bobo$14b2o4$9bo$10bo$8b3o9$22b2ob2o$23bob2o$
23bo$21bobo$13b2o6b2o$13bobo$15bo$15b3o3b2o$13b2o3bo2b2o$12bo2b4o$12b
3o$15b4o$10b5o3bo$10bo4b2obobob2o$13bo2bobob2obo$13b2o4bo$15b3obo$15bo
2bo$16b2o4$9bo$10bo$8b3o9$22b2ob2o$23bob2o$23bo$21bobo$13b2o6b2o$13bob
o$15bo$15b3o3b2o$13b2o3bo2b2o$12bo2b4o$12b3o$15b4o$10b5o3bo3b2o$10bo4b
2obobo2bo$13bo2bobob3o$13b2o2bo$18b3o$20bo4$9bo$10bo$8b3o9$22b2o$23bo$
23bob2o$12b2o7bobob2o$11bo2bo6b2o$10bobo2bo$9bo2b2obo$10b2o3b3o3b2o$
12b3o3bo2b2o$12bo2b4o$13b2o$10b3o2b4o$10bo2b2o3bo3b2o$11b2o2b2obobo2bo
$13bo2bobob2o$13b2o4bo$15b3obo$15bo2bo$16b2o4$9bo$10bo$8b3o9$22b2ob2o$
23bob2o$23bo$12b2o7bobo$11bo2bo6b2o$10bobo2bo$9bo2b2obo$10b2o3b3o3b2o$
12b3o3bo2b2o$12bo2b4o$13b2o$10b3o2b4o$10bo2b2o3bo3b2o$11b2o2b2obobo2bo
$13bo2bobob3o$13b2o2bo$18b3o$20bo4$9bo$10bo$8b3o8$9bo$6bo2b3o10b2ob2o$
6b3o3bo10bob2o$10b2obo9bo$6b4obobo7bobo$3bobo4bo2bob2o4b2o$3b2obobo4bo
bo$6bob2o2b2obo$6bo8b3o3b2o$3b2obo5b3o3bo2b2o$3bo2b3o3bo2b4o$5bo3bo3b
2o$6b2ob4o2b4o$7b2o4b2o3bo3b2o$5bo4b3o2b2obobo2bo$5b4obo2bo2bobob3o$9b
o3b2o2bo$7bo10b3o$7b2o11bo4$9bo$10bo$8b3o8$9bo$6bo2b3o10b2o$6b3o3bo10b
o$10b2obo9bob2o$6b4obobo7bobob2o$5bo4bo2bob2o4b2o$4bobobo4bobo$4bobob
2o2b2obo$3b2obo8b3o3b2o$3bo2bo5b3o3bo2b2o$4bob3o3bo2b4o$5bo3bo3b2o$6b
2ob4o2b4o$7b2o4b2o3bo$5bo4b3o2b2obobob2o$5b4obo2bo2bobob2obo$9bo3b2o4b
o$7bo7b3obo$7b2o6bo2bo$16b2o4$9bo$10bo$8b3o9$22b2ob2o$23bob2o$23bo$21b
obo$21b2o3$13b2o6b2o$13bo2b2o3b2o$14b3obo$18b5o$16b2o4bo$16bo2bo$18b2o
4$9bo$10bo$8b3o9$22b2ob2o$23bob2o$23bo$21bobo$11b2o8b2o$11bo2bo$12b2ob
o$13bo2bo4b2o$13bo3bo3b2o$14b3obo$16bob5o$17bo4bo$19bo$18b2o4$9bo$10bo
$8b3o6$22b2o$23bo$23bob2o$22b2o2bo$24bo$24b2o$16bo2bob2obo$16b5obobo$
23bo$18b2ob2o$19bobo$19bobo$20bo4$9bo$10bo$8b3o6$22b2o$23bo$23bob2o$
22b2o2bo$24b2o$24bo$16bo2bob2obo$16b5obobobo$25bobo$18b7o2bo$18bo2bo2b
obo$25bo4$9bo$10bo$8b3o12$20b2obo2bo$20b2ob4o2$20b2ob2o$21bobo$21bobo$
22bo4$9bo$10bo$8b3o8$11b2o$12bo$12bobo$13b2o$19bo$17b3o$16bo$14b3ob2o$
13bo3b2o2bo$14b2o4b2o$16b4o$16bo2bo4$9bo$10bo$8b3o8$11b2o$12bo$12bobo$
13b2o$19bo$17b3o$16bo$14b3ob2o$13bo4bo2bo$14b3o3b2o$16b2o4$9bo$10bo$8b
3o9$23bo$22bobo$23b2o$19bo$18bobo$17bo2bo$18b2o2$12bob2o$10b3ob2o3b2o$
9bo9b2o$10b3ob2o$12b2o2bo$15b2o4$9bo$10bo$8b3o9$23bo$22bobo$23b2o$19bo
$10b2o6bobo$10bobo4bo2bo$12bo5b2o$12b3o$10b2o3bo$9bo2b4o3b2o$9b3o7b2o$
12b4o$7b5o3bo3b2o$7bo4b2obobo2bo$10bo2bobob2o$10b2o4bo$12b3obo$12bo2bo
$13b2o4$9bo$10bo$8b3o9$23bo$22bobo$23b2o$19bo$10b2o6bobo$10bobo4bo2bo$
12bo5b2o$12b3o$10b2o3bo$9bo2b4o3b2o$9b3o7b2o$12b4o$7b5o3bo3b2o$7bo4b2o
bobo2bo$10bo2bobob3o$10b2o2bo$15b3o$17bo4$9bo$10bo$8b3o9$23bo$22bobo$
23b2o$9b2o8bo$8bo2bo6bobo$7bobo2bo4bo2bo$6bo2b2obo5b2o$7b2o3b3o$9b3o3b
o$9bo2b4o3b2o$10b2o7b2o$7b3o2b4o$7bo2b2o3bo$8b2o2b2obobob2o$10bo2bobob
2obo$10b2o4bo$12b3obo$12bo2bo$13b2o4$9bo$10bo$8b3o9$23bo$22bobo$23b2o$
9b2o8bo$8bo2bo6bobo$7bobo2bo4bo2bo$6bo2b2obo5b2o$7b2o3b3o$9b3o3bo$9bo
2b4o3b2o$10b2o7b2o$7b3o2b4o$7bo2b2o3bo3b2o$8b2o2b2obobo2bo$10bo2bobob
3o$10b2o2bo$15b3o$17bo4$9bo$10bo$8b3o9$23bo$22bobo$12b2o9b2o$11bobo5bo
$11bo6bobo$8b2ob2o4bo2bo$9bobo6b2o$9bo2b3o$10b2o3bo$12b4o3b2o$12bo6b2o
$10bobob2o$10b2o2bo$14bobo$15b2o4$9bo$10bo$8b3o7$11bo$9b3o$5b2obo14bo$
5bo3bo12bobo$7b2obo12b2o$3b4obobo8bo$2bo4bo2bob2o4bobo$bobobo4bobo4bo
2bo$bobob2o2b2obo5b2o$2obo8b3o$bobo5b3o3bo$bob3o3bo2b4o3b2o$2bo3bo3b2o
7b2o$3b2ob4o2b4o$4b2o4b2o3bo3b2o$2bo4b3o2b2obobo2bo$2b4obo2bo2bobob3o$
6bo3b2o2bo$4bo10b3o$4b2o11bo4$9bo$10bo$8b3o7$11bo$9b3o$5b2obo14bo$5bo
3bo12bobo$7b2obo12b2o$3b4obobo8bo$2bo4bo2bob2o4bobo$o2bobo4bobo4bo2bo$
2obob2o2b2obo5b2o$3bo8b3o$3bo5b3o3bo$2ob3o3bo2b4o3b2o$obo3bo3b2o7b2o$
3b2ob4o2b4o$4b2o4b2o3bo3b2o$2bo4b3o2b2obobo2bo$2b4obo2bo2bobob2o$6bo3b
2o4bo$4bo7b3obo$4b2o6bo2bo$13b2o4$9bo$10bo$8b3o9$23bo$22bobo$23b2o$19b
o$18bobo$17bo2bo$18b2o$11b2o$11bo2b2o$7b2o3b2obo3b2o$7bo2bobo6b2o$9b2o
2b2o$11bobobo$11bo2b2o$10b2o6bo$14b5o$14bo$16bo$15b2o4$9bo$10bo$8b3o6$
23b2o$24bo$22bobob2o$22b2obo2bo$25bob2o$25bo$13b2o3bo5b2o$13bo3bobo$
14bo3bobo$15bo4bo$12b3o5b2o$12bo4$9bo$10bo$8b3o10$26b2o$23b2o2bo$20b2o
2bobo$20b2obo2b2o$23bobo$23bobo$24bo4$9bo$10bo$8b3o10$24b2o$22bo2bo$
19bo2b2o$18bobobo$18b2o2bo$22b2o4$9bo$10bo$8b3o12$19bo3b2o$18bobo3bo$
17bobo3bo$17bo4bo$16b2o5b3o$25bo4$9bo$10bo14b2o$8b3o15bo$24bo$24b2o$
26bo$22b3obo$21bo2b2o$21b2o2$25b2o$25bo$26b3o$28bo$18b2ob2o$19bobo3b2o
$15bobobobobo2bo$15b2obo2bob2o$18bob2o$18bo2bo$19b2o4$9bo$10bo$8b3o2$
25bo$23b3o$22bo$21bobo$21bobo$22bo5$18b2ob2o$19bobo3b2o$14b2obobobobo
2bo$14bob2obobob2o$20bobo$22bo$22b2o4$9bo$10bo$8b3o2$20b2o$20bobob2o$
22bobo$21bo2bo$21bobo$22bo5$18b2ob2o$19bobo$17bobobobob2o$16bobo2bob2o
bo$16bo2b2obo$15b2o5bo$22b2o4$9bo$10bo$8b3o4$21b2o5b2o$21bo7bo$22b3ob
3o$24bobo2$32b2o$30bo2bo$22b2o2b2o2b3o$19bo3bo2b2o5b3o$15b2o2b4o9bo3bo
$15bo15bobobo$16b7o2bob2o3b2ob2o$22b4obo$18b2o7bo$18b2o4b2obobo$24bob
2ob3o$32bo$31b2o4$9bo$10bo$8b3o9$32b2o$30bo2bo$22b2o2b2o2b3o$19bo3bo2b
2o5b3o$15b2o2b4o9bo3bo$15bo15bobobo$16b7o2bob2o3b2ob2o$22b4obo$18b2o7b
o$18b2o4b2obobo$24bob2ob3o$32bo$31b2o4$9bo$10bo$8b3o5$30bo$28b3o$27bo$
27b2o3$22b2o2b2o$19bo3bo2b2o$15b2o2b4o$15bo$16b5o$21bo$18b3o$18bo4$9bo
$10bo$8b3o3$26b2o$26bo2b2o$27b2ob3o$33bo$27b2ob3o$27b2obo3$22b2o2b2o$
19bo3bo2b2o$15b2o2b4o$15bo$16b5o$21bo$18b3o$18bo4$9bo$10bo$8b3o20b2o$
31bo$28b2obo$23b2o2bobobob2o$23bo3bobobo2bo$24b3obobobo2b2o$26bobobob
2obobo$26bobobo4bobo$27b2ob4o2bo$34b2o$32b2o$22b2o2b2o5bo$19bo3bo2b2o
4bo$15b2o2b4o9b2o$15bo$16b5o$21bo$18bobo$18b2o4$9bo$10bo$8b3o20b2o$31b
o$28b2obo$23b2o2bobobob2o$23bo3bobobo2bo$24b3obobobo$26bobobob2o$26bob
obo3bo$27b2ob4obo$35bo$32b2ob2o$22b2o2b2o5bo$19bo3bo2b2o3bobo$15b2o2b
4o8b2o$15bo$16b5o$21bo$18bobo$18b2o4$9bo$10bo14bo$8b3o13bobo3b2o$23bo
2bo3bobo$22bob2ob2obobo$22bo2bobobobob2o$23bo3bobobo2bo$24b3obobobo2b
2o$26bobobob2obobo$26bobobo4bobo$27b2ob4o2bo$34b2o$32b2o$22b2o2b2o5bo$
19bo3bo2b2o3bo$15b2o2b4o8b2o$15bo$16b5o$21bo$18bobo$18b2o4$9bo$10bo14b
o$8b3o13bobo3b2o$23bo2bo3bobo$22bob2ob2obobo$22bo2bobobobob2o$23bo3bob
obo2bo$24b3obobobo$26bobobob2o$26bobobo3bo$27b2ob4obo$35bo$32b2ob2o$
22b2o2b2o5bo$19bo3bo2b2o3bobo$15b2o2b4o8b2o$15bo$16b5o$21bo$18bobo$18b
2o4$24bobo$23bob4o$23bo5bo2b2o$21b2ob5obo2bo$20bobo5bob2obob2o$9bo10bo
bob2o2bo2bobo2bo$10bo7b2o2bo2bo3b2o3bo$8b3o8bobobo6bob2o$19bob2o7bobo$
20bo4bob2obobo$21b5obobobob2o$27bobobo2bo$23b4obobobo$23bo2bobobob2o$
26bobobo3bo$27b2ob4obo$35bo$32b2ob2o$22b2o2b2o5bo$19bo3bo2b2o3bobo$15b
2o2b4o8b2o$15bo$16b5o$21bo$18bobo$18b2o4$24b2ob2o$23bobobo$23bo5bo2b2o
$21b2ob5obo2bo$20bobo5bob2obob2o$9bo10bobob2o2bo2bobo2bo$10bo7b2o2bo2b
o3b2o3bo$8b3o8bobobo6bob2o$19bob2o7bobo$20bo4bob2obobo$21b5obobobob2o$
27bobobo2bo$23b4obobobo2b2o$23bo2bobobob2obobo$26bobobo4bobo$27b2ob4o
2bo$34b2o$32b2o$22b2o2b2o5bo$19bo3bo2b2o3bo$15b2o2b4o8b2o$15bo$16b5o$
21bo$18b3o$18bo4$9bo$10bo$8b3o11$22b2o2b2o$19bo3bo2b2o$15b2o2b4o$15bo$
16b5o$21bo$18bobo$18b2o4$9bo$10bo$8b3o4$21b2o5b2o$21bo7bo$22b3ob3o$24b
obo4$22b2o2b2o$19bo3bo2b2o$15b2o2b4o$15bo$16b5o$21bo$18b3o$18bo4$9bo$
10bo$8b3o3$29bo$28bobo$28bo2bo$27b2ob2o$27bo2bo$28b2o2bo$29bob2o$29bo$
22b2o2b2obo$19bo3bo2b2ob2o$15b2o2b4o$15bo$16b5o$21bo$18b3o$18bo4$9bo$
10bo$8b3o$23b2o$23bobo$25b3o$24bo3bo$25bo2bo$26bob2o$27bo2bo$28b2o2bo$
29bob2o$29bo$22b2o2b2obo$19bo3bo2b2ob2o$15b2o2b4o$15bo$16b5o$21bo$18b
3o$18bo4$9bo$10bo$8b3o11$13b2o$13b2o3bo$17bobo$18bobo$8b2o2b2o6bo$8bo
2bobo6b2o$10b2obobo$14b2o4$9bo$10bo$8b3o8$7b2o$8bo$8bobo$9b2o2b2o$13b
2o3bo$17bobo$18bobo$7b2obobobo5bo$7bob2ob2obo4b2o$15bo$15b2o4$9bo$10bo
$8b3o5$8bo$7bobo$7bobo$6b2ob2o2$6b2ob2o$5bobob2o2b2o$5bo7b2o3bo$6bo10b
obo$7bo10bobo$8bobobobo5bo$9b2ob2obo4b2o$15bo$15b2o4$9bo$10bo$8b3o11$
13b2o$13b2o3bo$17bobo$8b2o8bobo$8bobob2o6bo$10bob2o6b2o$9bo$9bob3o$10b
o3bo2bo$12bob4o$10bob2o$9bobo3bo$9bo2bob2o$10b2o4$9bo$10bo$8b3o11$13b
2o$13b2o3bo$17bobo$18bobo$7bo2bob2o6bo$7b4ob2o6b2o2$9b5o$8bo5bo$8b2o2b
2o3b2o$13bobo2bo$12bo2b2o$12b2o4$9bo$10bo$8b3o11$13b2o$13b2o3bo$17bobo
$18bobo$10bob2o6bo$8b3ob2o6b2o$7bo$8b6o$14bo$8b2o2b2o3b2o$8bo2bobobo2b
o$10b2obob2o$11bobo$11bobo$12bo4$9bo$10bo$8b3o11$13b2o$13b2o3bo$17bobo
$18bobo$7bo2bob2o6bo$7b4ob2o6b2o2$9b5o$5b2obo5bo$6bob2o2b2o$5bo2bo2bob
obob2o$5b2o2b3obob2obo$12bo$11bo$11b2o4$9bo$10bo$8b3o11$13b2o$4b2o7b2o
3bo$5bo2b2o7bobo$5bobobo8bobo$4b2o2bo3b2o6bo$2bo2bo5bobo6b2o$2b2o7bobo
bo$10b2obob3o$8bo5bo3bo$8b5obo2b2o$13bo$10b3o$10bo4$9bo$10bo$8b3o8$3bo
3b2o$2bobo2bo$2bobo4bo$3bob5o3b2o$5bo7b2o3bo$4bo3b2o7bobo$3bo3bobo8bob
o$3b2o3bo3b2o6bo$11bobo6b2o$11bobobo$10b2obob3o$8bo5bo3bo$8b5obo2b2o$
13bo$10bobo$10b2o4$9bo$10bo$8b3o10$8bo$7bobo3b2o$8bo4b2o3bo$17bobo$18b
obo$9b2ob2o6bo$8bobobo7b2o$8bobo3bo$6b3obobob3o$5bo3bob2o4bo$6b2obo4b
3o$8bob3obo$8bo3b2o$7b2o4$9bo$10bo$8b3o11$13b2o$13b2o3bo$17bobo$18bobo
$20bo$20b2o4$9bo$10bo$8b3o11$23b2o$19bo3b2o$18bobo$17bobo$17bo$16b2o4$
9bo$10bo$8b3o5$29bo$28bobo$28bobo$27b2ob2o2$27b2ob2o$23b2o2b2obobo$19b
o3b2o7bo$18bobo10bo$17bobo10bo$17bo5bobobobo$16b2o4bob2ob2o$22bo$21b2o
4$9bo$10bo$8b3o5$21b2o$22bo$22bob2ob2o$23bobobobo$30bo$31bo$23b2o7bo$
19bo3b2o2b2obobo$18bobo6b2ob2o$17bobo$17bo9b2ob2o$16b2o10bobo$28bobo$
29bo4$9bo$10bo$8b3o8$29b2o$29bo$27bobo$23b2o2b2o$19bo3b2o$18bobo$17bob
o$17bo5bobobob2o$16b2o4bob2ob2obo$22bo$21b2o4$9bo$10bo$8b3o5$21b2o$22b
o$22bob2ob2o$23bobobo2bo$29b2o2$23b2o$19bo3b2o2b2o$18bobo6bobo$17bobo
9bo$17bo11b2o$16b2o4$9bo$10bo$8b3o11$23b2o$19bo3b2o$18bobo$17bobo$17bo
6b2ob2o$16b2o6b2obo$29bo$24b5obo$23bo5bo$21b3obobo$20bo3b2ob2o$21b2o3b
o$23b2obo$23bobo4$9bo$10bo$8b3o11$23b2o$19bo3b2o$18bobo7b2o$17bobo9bo$
17bo6b2obo$16b2o6b2ob2o2$24b5o$23bo5bo$24b2o2b2o$19b2obobo$19bob2o2bo$
24b2o4$9bo$10bo$8b3o11$23b2o$19bo3b2o$18bobo$17bobo$17bo6b2obo2bo$16b
2o6b2ob4o2$24b5o$23bo5bob2o$24b2o2b2obo$22bobobo2bo2bo$21bobo2b3o2b2o$
21bo2b2o$22b2o2bo$25b2o4$9bo$10bo$8b3o11$23b2o$19bo3b2o$18bobo$17bobo$
17bo6b2obo$16b2o6b2ob3o$30bo$24b6o$23bo$24b2o2b2o$19b2obobobo2bo$19bob
2obob3o$25bo$26bo$25b2o4$9bo$10bo12bob2o$8b3o12b2o2bo$21b2o3bobo$20bo
3b2obo$21b3obo$23bo3bo$24b3obo$28bo$24b2obo$24b2obobo$28b2o2$23b2o$19b
o3b2o$18bobo$17bobo$17bo$16b2o4$9bo$10bo$8b3o13b2o$19bob2o2bo$19b2obob
o$24b2o2b2o$23bo5bo$24b5o2$24b2ob4o$24b2obo2bo3$23b2o$19bo3b2o$18bobo$
17bobo$17bo$16b2o4$9bo15b2o$10bo11b2o2bo$8b3o10bo2b2o$21bobo2b3o$22bob
obo2bo$24b2o2b2o$23bo$24b6o$30bo$24b2ob3o$24b2obo3$23b2o$19bo3b2o$18bo
bo$17bobo$17bo$16b2o4$9bo15b2o$10bo11b2o2bo$8b3o10bo2b2o$21bobo2b3o$
22bobobo2bob2o$24b2o2b2obo$23bo5bo2bo$24b5o2b2o2$24b2ob2o$24b2obo2bo$
29b2o2$23b2o$19bo3b2o$18bobo$17bobo$17bo$16b2o4$9bo$10bo$8b3o5$22b2o$
22bobob2o$24bobo2bo$24b2o2b2o3$23b2o$19bo3b2o$18bobo$17bobo$17bo$16b2o
4$9bo$10bo$8b3o11$23b2o$19bo3b2o$18bobo$17bobo$17bo6b2o2b2o$16b2o6bobo
2bo$22bobob2o$22b2o4$9bo$10bo$8b3o16bo$25b3o$24bo$19b2o2bob5o$19bo3bo
5bo$20b3obob2o$22bobobo7b2o$24bobo5bo2bo$24b2o3bo2b2o$28bobobo$28b2o2b
o$23b2o7b2o$19bo3b2o$18bobo$17bobo$17bo$16b2o4$9bo$10bo$8b3o15b2o$25bo
bo$24bo$19b2o2bob5o$19bo3bo5bo$20b3obob2o$22bobobo$24bobo$24b2o3bo3b2o
$28bobo3bo$28b2o3bo$23b2o7bo$19bo3b2o3b5obo$18bobo7bo4bobo$17bobo11bo
3bo$17bo13b2o2b2o$16b2o4$9bo$10bo$8b3o11$23b2o$19bo3b2o7b2o$18bobo7b2o
2bo$17bobo8bobobo$17bo6b2o3bo2b2o$16b2o6bobo5bo2bo$22bobobo7b2o$20b3ob
ob2o$19bo3bo5bo$19b2o2bob5o$24bo$25bobo$26b2o4$9bo$10bo$8b3o8$29b2o3bo
$30bo2bobo$28bo4bobo$23b2o3b5obo$19bo3b2o7bo$18bobo7b2o3bo$17bobo8bobo
3bo$17bo6b2o3bo3b2o$16b2o6bobo$22bobobo$20b3obob2o$19bo3bo5bo$19b2o2bo
b5o$24bo$25b3o$27bo4$9bo$10bo$8b3o18b2o$24b2o3bo$23bob3obo$21b3o4bob2o
$20bo4b2obo3bo$21b3obobob3o$23bo3bobo$25bobobo$24b2ob2o3$23b2o4bo$19bo
3b2o3bobo$18bobo8bo$17bobo$17bo$16b2o4$9bo$10bo$8b3o10$29bo$23b2o3bobo
$19bo3b2o4bo$18bobo$17bobo$17bo6b2ob2o$16b2o7bobobo$23bo3bobo$21b3obob
ob3o$20bo4b2obo3bo$21b3o4bob2o$23bob3obo$24b2o3bo$29b2o4$9bo$10bo$8b3o
8$22b2o$22b2o$11b2o$10bo2bo$10bobo4bo$9b2ob2o2bobo$11bo3bob2o$11bob3o$
12bo3b3o$13bobo2bo$14b2o4$9bo$10bo$8b3o8$11bo10b2o$10bobo9b2o$10bobo$
9b2ob2o$17bo$9b2ob2o2bobo$10bobo2bob2o$10bo2b3o$9b2o5b3o$15bo2bo$15b2o
4$9bo$10bo$8b3o9$23b2o$24bo$24bob2o$21b2obo2bo$22bob2o$14b2o3b3o$14b2o
2bo$18bob2o$19bo2bo$21b2o4$9bo$10bo$8b3o9$23b2o$14bo9bo$13bobo8bob2o$
14bo6b2obo2bo$22bob2o$19b3o$14b2o2bo$10b2obobo2bob4o$8bo2bob2o4bo3bo$
8b2obo8bo$11bo7b2o$11b2o3bo$16b5o$20bo$18bo$18b2o4$9bo$10bo$8b3o12$13b
2o3bo$13bo3bobo$14bo3bobo$15bo4bo$12b3o5b2o$12bo4$9bo$10bo$8b3o12$21b
2obo$21b2ob3o$27bo$21b2ob3o$19bo2bobo$19b2o4$9bo$10bo$8b3o7$28bo$27bob
o$27bobo$26b2o2b2o$22b2obo2bobo$15b2o4bobobob2obo$15bo2bobo2bobo3bo$
17b2obob2obob2o$20bobo2bobo$20bo2b2o2bo$19b2o6b2o4$9bo$10bo$8b3o12$21b
2o$21bo$22b3o$24bo4$9bo$10bo$8b3o2$24b2o$24bo$26bobo$22b4ob2o$22bo2bo$
27b2o$28bo$28bob2o$25b2obob2o$24bobobo$21b2o2bo2bo$21bo4b2o$17b2o3b4o$
17bo2bobo2bo$19b2obobo$20bob2o$18bo$18b2o4$9bo$10bo$8b3o2$24b2o$24bo$
26bobo$22b4ob2o$22bo2bo$27b2o$28bo$28bob2o$25b2obob2o$24bobobo$21b2o2b
o2bo$21bo4b2o$22b4o$20bobo2bo$18b3obobo$17bo4bob2o$18b2obobo2bobo$19bo
bo2b2ob2o$19bobo3bo$18b2obobobo$22bobo$23bo4$9bo$10bo$8b3o11$25b2o$12b
2o6b2obo2bo$13bo5bobob3o$13bobo3bobo$14b2o2b2ob2ob2o$19bobo3bo$17bobob
ob2o$17b2obobo$14bo5bobo$14b5ob2o$18bo$16bobo$16b2o4$9bo$10bo$8b3o11$
25b2o$20b2obo2bo$19bobob3o$14b2o3bobo$14bo2bobob3o$15b4obo3bo$20bo2b2o
$17b3o$17bo4$9bo$10bo$8b3o11$25b2o$20b2obo2bo2bo$19bobob2obobobo$14b2o
3bobo4bo2bo$14bo2bobob4obo$15b4obo4bo$20bo2bo$17bobo3b2o$17b2o4$9bo$
10bo$8b3o2$25b2o$25bo$27bo$23b5o$23bo$26b2o$26bobo$28bo$28b2o$25b2obo$
20b2obo2bo2bo$19bobob2obob2o$14b2o3bobo4bo$14bo2bobob4obo$15b4obo4bo$
20bo2bo$17bobo3b2o$17b2o4$9bo$10bo$8b3o6$22b2o$22bo$24bo$23b4o$27bo$
23b4obo$18bo4bo2bobo$18b3o5bob2o$21bo5bo$18b4o6b2o$18bo10bo$19bo4bob3o
$18b2o4b2o$27b2o$28bo$26bo$26b2o4$9bo$10bo$8b3o6$22b2o$22bo$24bobo$23b
3obo2b2o$27bo3bo$23b4ob3o$18bo4bo2bobo$18b3o5bobob3o$21bo5b2obo2bo$18b
4o10b2o$18bo$19bo5b2o$18b2o5bo$27bo$26b2o4$9bo$10bo$8b3o6$22b2o$22bo$
24bobo3b2o$23b3obo2bo$27bo4bo$23b4ob4obo$18bo4bo2bobo4bo2bo$18b3o5bobo
b2obobobo$21bo5b2obo2bo2bo$18b4o10b2o$18bo$19bo5b2o$18b2o5bo$26bo$25b
2o4$9bo$10bo$8b3o6$22b2o$22bo$24bobo3b2o$23b3obo2bo$27bo4bo$23b4ob4obo
$18bo4bo2bobo4bo$18b3o5bobob2obob2o$21bo5b2obo2bobo$18b4o10b2obo$18bo
16b2o$19bo5b2o8bo$18b2o5bo7bobo$26bo6b2o$25b2o3bo$30b5o$34bo$32bo$32b
2o4$9bo$10bo$8b3o6$22b2o$22bo9bo$24bob2o3bobo$23b3obo3bo2bo$27bob2ob2o
$23b4obobo$18bo4bo2bobo3b2o$18b3o5bobobobo2bo$21bo5b2ob2o2b2o$18b4o$
18bo$19bo11b2o$18b2o8b2o2bo$28b2obo3b2o$31bobo2bo$28b2obob2o$27bo2bo$
28b2o4$9bo$10bo$8b3o6$22b2o$22bo$24bobo$23b3obo3b2o$27bo3bobo$23b4ob2o
bobo$18bo4bo2bobobobo$18b3o5bobobo$21bo5b2o2bo$18b4o8b2o$18bo$19bo$18b
2o$25b2o$26bo$23b3o$23bo4$9bo$10bo$8b3o8$25b2o$25bo$23bobo$23b2o$18bo$
18b3o$21bo$18b2ob3o$17bob2o3bo$17bo4b2o$18b3obo$20bobo$21bo4$9bo$10bo$
8b3o5$23b2o$24bo$24bobo$23b2ob3o$29bo$23b2ob3o$23b2obo$18bo$18b3o$21bo
$18b2ob3o$17bob2o3bo$17bo4b2o$18b3obo$20bobo$21bo4$9bo$10bo$8b3o8$25b
2o$25bo$23bobo$23b2o$18bo$18b3o$21bo$18b2ob3o$16bo2bo4bo$16b2o3b3o$20b
2o4$9bo$10bo$8b3o6$22b2o$22bo2b2o$23b2ob3o$29bo$23b2ob3o$23b2obo$18bo$
18b3o$21bo$16b4ob3o$16bo2bo4bo$21b3o$20b2o4$9bo$10bo$8b3o5$26bo$24b3o$
23bo3b2o$23bobo2bo$24b3o2$26b3o$18bo6bo3bo$18b3o4b2obobo$21bo4bobobo$
18b3o3bobo2bo$18bo2b4obo$21bo3bo$24bo$24b2o4$9bo$10bo$8b3o2$18bo$18b3o
$21bo$20b2o2$23b2o$23bobo$25bo$25bob2o$22b2obob2o$21bobobo$21bobobo$
19b3ob2o$18bo3bo$18bobobo$19bobo$20bo4$9bo$10bo$8b3o7$29bo$27b3o$26bo$
23b2o2bo$22bo2b3o$21bobo4b2o$21bobob2obo$19b3obobo2bo$18bo3bobo2bo$18b
2o2bo2b2o$21b2o4$9bo$10bo$8b3o7$24b2o$24bo$26bo$25b2o$27b2o$20b2ob4o2b
o$19bobobo4bobo$19bobobob2obobo$17b3obobobo2b2o$16bo3bobobo2bo$16b2o2b
obobob2o$21b2obo$24bo$24b2o4$9bo$10bo$8b3o7$24b2o$24bobo$26bo$25b2ob2o
$28bo$20b2ob4obo$19bobobo3bo$19bobobob2o$17b3obobobo$16bo3bobobo2bo$
16b2o2bobobob2o$21b2obo$24bo$24b2o4$9bo$10bo$8b3o7$24b2o$24bo$26bo$25b
2o$27b2o$20b2ob4o2bo$19bobobo4bobo$19bobobob2obobo$17b3obobobo2b2o$16b
o3bobobo2bo$15bo2bobobobob2o$15bob2ob2obobo$16bo2bo3bobo$17bobo3b2o$
18bo4$9bo$10bo$8b3o7$24b2o$24bobo$26bo$25b2ob2o$28bo$20b2ob4obo$19bobo
bo3bo$19bobobob2o$17b3obobobo$16bo3bobobo2bo$15bo2bobobobob2o$15bob2ob
2obobo$16bo2bo3bobo$17bobo3b2o$18bo4$9bo$10bo$8b3o7$24b2o$24bobo$26bo$
25b2ob2o$28bo$20b2ob4obo$19bobobo3bo$16bo2bobobob2o$16b4obobobo$10b2o
8bobobo2bo$11bo2b5obobobob2o$11bobo4bob2obobo$12bob2o7bobo$14bobo6bob
2o$12bo2bo2bo3b2o3bo$12b2obob2o2bo2bobo2bo$15bo5bob2obob2o$15bob5obo2b
o$16bo5bo2b2o$17bob3o$18b2o4$9bo$10bo$8b3o7$25b2o$25bo$26bo$25b2o$27b
2o$20b2ob4o2bo$19bobobo4bobo$16bo2bobobob2obobo$16b4obobobo2b2o$20bobo
bo2bo$14b5obobobob2o$13bo4bob2obobo$12bob2o7bobo$12bobobo6bob2o$11b2o
2bo2bo3b2o3bo$13bobob2o2bo2bobo2bo$13bobo5bob2obob2o$14b2ob5obo2bo$16b
o5bo2b2o$16bobobo$17b2ob2o4$9bo$10bo$8b3o12$16b2ob2o$15bobobobo$15bobo
3b3o$13b3obobo4bo$12bo3bob2ob3o$12b2o2bo4bo$17b3o$19b2o4$9bo$10bo$8b3o
10$27b2o$22b2obo2bo$21bobob3o$21bobo$19b3ob3o$18bo3bo3bo$18bobobo2b2o$
19bobo$20bo4$9bo$10bo$8b3o10$27b2o$22b2obo2bo2bo$21bobob2obobobo$21bob
o4bo2bo$19b3ob4obo$18bo3bo4bo$18b2o2bob3o$23b2o4$9bo$10bo$8b3o$27b2o$
27bo$29bo$25b5o$25bo$28b2o$28bobo$30bo$30b2o$27b2obo$22b2obo2bobo$21bo
bob2obob2o$21bobo4bo$19b3ob4obo$18bo3bo4bo$18b2o2bob2o$23bob2o4$9bo$
10bo$8b3o3$24bo$22b3o$21bo$21b2o4$22bob2o$22b2obo$17b2o$16bobo3b2obo$
17bo5bob3o$21bo6bo$21b2o4b2o4$9bo$10bo$8b3o$24b2o$24b2o2$22b4o$21bo2bo
bo$21b2o3bo$25b2ob2o$27bobo$27bo$22bob2obo$22b2ob2o$17b2o$16bobo3b2ob
2o$17bo5bobo$23bobo$24bo4$9bo$10bo$8b3o3$24bo$22b3o$21bo$21b2o3$24b2o$
22bo2bo$22b3o$17b2o$16bobo3b5o$17bo5bo2bo$21bo$21b2o4$9bo$10bo$8b3o$
22bobo$22b2obo$25bo$22b3ob2obo$21bo2bobob2o$21b2o4$22bob2o$22b2obo$17b
2o$16bobo3b2obo$17bo5bob3o$21bo6bo$21b2o4b2o4$9bo$10bo$8b3o3$24bo$22b
3o$21bo$21b2o2$25b2o$24bo2bo$22bo2bobo$22b4ob2o$17b2o7bo$16bobo3b3obo$
17bo5bobo$21bo$21b2o4$9bo$10bo$8b3o3$24bo$22b3o$21bo$21b2o4b2o$28bo$
25b3o$24bo3b3o$22bo2bobo2bo$22b4obobo$17b2o8bob2o$16bobo3b5obo$17bo5bo
2bobo$21bo5bo$21b2o4$9bo$10bo$8b3o8$23b2o$24bo$24bob2o$22b3o2bo$21bo3b
2o$21b4o$24bo$21b2obobo$22bo2b2o$20bobo$20b2o4$9bo$10bo$8b3o8$25b2o$
24bobo$24bo$22b3o$21bo3b2o$21b4o2bo$24bob2o$21b2obobo$22bobobo$20bo4bo
$20b5o2$22bo$21bobo$22bo4$9bo$10bo$8b3o8$25b2o$24bobo$24bo$22b3o$21bo
3b2o$21b4o2bo$24bobo$14b2o5b2obob2o$14bo7bobo2bo$11b2obo5bo4bo$11bo2bo
b2o2b5o$13b2obo$17b4obo$19bob2o4$9bo$10bo$8b3o6$23b2o$23bobob2o$25bobo
$25bo2bo$23bob4o$22bobo$21bo2bob2obo$21b4obob2o$25bo$21b4o$20bo4b3o$
18b3obobo2bo$17bo3b2obo$18b2o3bo$20b3o$20bo4$9bo$10bo$8b3o2$28b2o$24bo
3b2o$23bobo$22bo2b7o$22bobo7bo$23bobobob4o$25bob2o$25bo4b3o$23bob5o2bo
$22bobo6bo$21bo2bob4ob2o$21b4obo3bo2bo$25bo3bo2bo$21b4o5b2o$20bo4b3o$
18b3obobo2bo$17bo3b2obo$18b2o3bo$20b3o$20bo4$9bo$10bo$8b3o7$25bo$24bob
o$24bobo$23b2ob2o$22bo$21bob5o$21bo5bo$17b2o3bobobo$17bo2bobob2o$19b2o
bo5bo$23b6o2$25b2o$25b2o4$9bo$10bo$8b3o11$22b2o$21bo2bo2b2o$21bobo4bo
2bo$22bo5bobobo$25b2obo2bo$25bo2bo$22bo4bo$22b5o2$24bo$23bobo$24bo4$9b
o$10bo$8b3o11$22b2o$21bo2bo2b2o$21bobo4bo$22bo5bob2o$25b2obo2bo$23bo2b
ob2o$19b2o2b3o$19bo$20b6o$25bo$22bo$21bobo$22bo4$9bo$10bo$8b3o9$27b2o$
27bobo$22b2o5bo$21bo2bo4bob2o$21bobo2b2obo2bo$22bo4bobobo$25bobob2o$
25b2o$22bo$22b5o$26bo$24bo$24b2o4$9bo$10bo$8b3o5$25b2o$24bobo$24bo$23b
2o2$23b4o$11b2o10bo2bo$10bobo4b2o6bo$10bo6b2o7b3o$9b2o17bo$13b2o6bo$
13bobo2bobobo$15b4obob3o$11b4o5bo4bo$11bo2bo2b2obob3o$17bob2obo4$9bo$
10bo$8b3o5$25b2o$24bobo$24bo$23b2o2$23b4o$11b2o10bo2bo$10bobo4b2o6bo$
10bo6b2o7b3o$9b2o17bo$13b2o6bo$13bobo2bobobob2o$15b4obob2obo$11b4o5bo$
11bo2bob4ob4o$15b2o2bobo2bo4$9bo$10bo$8b3o6$25b2o$23bo2bo$23b3o2$23b3o
$11b2o10bo2bo$10bobo4b2o6b2o$10bo6b2o$9b2o$13b2o6bo$13bobo2bobobo$15b
4obob3o$11b4o5bo4bo$11bo2bo2b2obob3o$17bob2obo4$9bo$10bo$8b3o6$25b2o$
23bo2bo$23b3o2$23b3o$11b2o10bo2bo$10bobo4b2o6b2o$10bo6b2o$9b2o$13b2o6b
o2b2o$13bobo2bobobo2bo$15b4obob3o$11b4o5bo$11bo2bob4ob2o$15b2o2bobobo$
22bo4$9bo$10bo$8b3o4$28bo$26b3o$25bo$23bo2bo$23b4o2$23b2o$11b2o11bo$
10bobo4b2o5bobo$10bo6b2o6b2o$9b2o$13b2o6bo$13bobo2bobobo$15b4obob3o$
11b4o5bo4bo$11bo2bo2b2obob3o$17bob2obo4$9bo$10bo$8b3o4$28bo$26b3o$25bo
$23bo2bo$23b4o2$23b2o$11b2o11bo$10bobo4b2o5bobo$10bo6b2o6b2o$9b2o$13b
2o6bo$13bobo2bobobob2o$15b4obob2obo$11b4o5bo$11bo2bob4ob4o$15b2o2bobo
2bo4$9bo$10bo$8b3o9$23b2o$23b2o$11b2o$10bobo4b2o$10bo6b2o$9b2o$13b2o6b
o$13bobo2bobobo$15b4obob3o$11b4o5bo4bo$11bo2bo2b2obob3o$17bob2obo4$9bo
$10bo$8b3o9$23b2o$23b2o$11b2o$10bobo4b2o$10bo6b2o$9b2o$13b2o6bo$13bobo
2bobobob2o$15b4obob2obo$11b4o5bo$11bo2bob4ob4o$15b2o2bobo2bo4$9bo$10bo
$8b3o8$23b2o$23b2o2$11b2o$10bobo4b2o$10bo6b2o$9b2o$13b2o6bo$13bobo2bob
obo$15b4obob3o$11b4o5bo4bo$11bo2bo2b2obob3o$17bob2obo4$9bo$10bo$8b3o8$
23b2o$23b2o2$11b2o$10bobo4b2o$10bo6b2o$9b2o$13b2o6bo$13bobo2bobobob2o$
15b4obob2obo$11b4o5bo$11bo2bob4ob4o$15b2o2bobo2bo!
apgoucher — 06/04/2024 7:25 AM
> some of those eaters look interesting (especially in the latter stages of the search,
> as inomed has pointed out here); is it possible for it to return any successful catalysis
> (so that other potentially novel transparent reactions or strange catalysts can also be considered)?
Not without some pretty complicated modifications to the program: it doesn't have an internal concept of catalysts (or objects for that matter) -- it just operates on the level of individual cells. Any candidate solutions found by the main search (which runs on the GPU) are piped into a SAT solver (running on the CPU) to do the final stator completion/minimisation. This search, for example, was specified by this RLE file together with the parameters dictating the maximum active region:
Silk-glider-eater-search-setup.png
Silk-glider-eater-search-setup.png (5.38 KiB) Viewed 839 times
carsoncheng — 06/04/2024 7:26 AM: as long as all the cells in the catalyst survive, could that still feasibly count as a solution?
apgoucher — 06/04/2024 7:29 AM: I think that's what Barrister does, but that needs extra logic to ensure that the catalyst reacts at all -- in order to distinguish between an active object emitted from the catalysis versus just the input perturbation (in this case a glider).
mvr — 06/04/2024 7:36 AM: that's right, Barrister stores a hasInteracted flag which gets set as soon as a transition is chosen that is different to what the input pattern would do on its own
once that flag is set, it keeps track of how many generations there have been no active cells (in the ZOI of the catalyst), and once that counter reaches some threshold it reports it as a solution
carsoncheng — 06/04/2024 7:42 AM: then how does the current version make sure something has interacted? (maybe is it the gray cells in the input rle?)
apgoucher — 06/04/2024 7:44 AM: Those grey cells mean "at least one of these must be live", and then the rules of CGoL entail that the glider must interact with them at some point.
(With this input, we get every unique eater exactly once, instead of glide-reflections and translations of the same eating mechanism.)
carsoncheng — 06/04/2024 7:45 AM: and so is it possible to actually use those gray cells instead of the extra logic to find some other solutions (which doesn't eat the glider but leaves something else)
apgoucher — 06/04/2024 7:47 AM: Not really -- without the extra hasInteracted-type logic it could set one of those arbitrarily, complete it into a minimal still-life (e.g. a block or tub) and claim "this is a solution because the block/tub has recovered in 0 generations and it produces an 'output' (actually input!) glider".
The only reason it works for finding eaters is that the entire active perturbation must have fizzled out, and that can only happen with a non-spark input if there's an actual interaction.
mvr — 06/04/2024 7:48 AM: I wonder how many glider-triggered oscillators it found along the way, do you have an option to report those too?
apgoucher — 06/04/2024 7:49 AM: There is an option (a minimum period for reporting) but I set it to 9999 to avoid getting lots of spam.
(When doing the 2c/3 signal search it found lots of trivial oscillators with a non-interacting p6 and p7 component being reported as p42, for example.)
mvr — 06/04/2024 7:51 AM: ah, right, Barrister has some logic for separating oscillators into rotors and classifying them separately
apgoucher — 06/04/2024 7:53 AM: I think that dr did something similar where it would track known rotors and only report new oscillators.
xp3_xggk171z8e82 — 06/04/2024 10:56 AM: ... Is sidesnagger the only known glider eater that uses only objects more common than fishhook?
googoIpIex — 06/04/2024 11:19 AM: probably, not counting arbitrary constellations that use universal constructors
xp3_xggk171z8e82 — 06/04/2024 11:27 AM: An attempt at sorting [the 161 eaters]:

Code: Select all

x = 716, y = 310, rule = B3/S23
bo21bo34bo21bo35bo34bo16bo29bo36bo35bo33bo33bo23bo21bo34bo18bo31bo35bo
35bo29bo35bo39bo$2bo21bo34bo21bo35bo34bo16bo29bo36bo35bo33bo33bo14b2o
7bo21bo34bo18bo31bo35bo35bo29bo35bo39bo$3o19b3o32b3o19b3o33b3o32b3o14b
3o27b3o34b3o33b3o31b3o31b3o15bo5b3o19b3o32b3o16b3o29b3o33b3o33b3o27b3o
33b3o37b3o$354bo$354b2o23bo16b2o$356bo20b3o16bobob2o$352b3obo19bo21bob
o$351bo2b2o19bobo19bo2bo$71b2o20b2o117b2o137b2o22bobo19bobo$72bo21bo
118bo162bo21bo229bo$14b2ob2o17b2o34bob2o18bob2o55b2o15b2o39bobob2o138b
2o76b2o6bo10b2o173bobo$15bob2o18bo33b2o2bo17b2o2bo56bo16bo39b2obo2bo
137bo77b2o5bobo9b2o31b2o34b2o104bobo$15bo21bob2o32bo21b2o57bobo14bobo
40bob2o34b2o32b2o68b3o63b2o16bobo43bo25bo9bo103b2o2b2o$14b2o20b2o2bo
32b2o20bo59b2o15b2o40bo34b2o2bo30bo2bo70bo62bo2bo14b2ob2o42bob2o21bobo
8bob2o96b2obo2bobo$11bo21bo4bo26bo2bob2obo13bo2bob2obo31b2obo2bo27bo
16bo23b2o3bo5b2o31b2o2bobo28bo2b2o29bo3b2o27b2ob2o19b2ob2o17b2ob2o22bo
bo4bo18bo35b2obo2bo22bo6b2obo2bo21b2o3bo32b2obo26b2o4bobobob2obo30b2o$
7b2o2b5o13b2o2b4ob2o25b5obobo13b5obobobo29b2ob4o25b3o14b3o23bo3bobo37b
2obo2b2o26bobobo29bobo3bo28bobo3b2o16bobo3b2o14bobo22b2ob2o2bobo9b2ob
2o2bobo35bob2o32bob2o23bo3bobo31b2ob3o24bo2bobo2bobo3bo31bo$7bo7bo13bo
7bo2bo31bo23bobo59bo16bo27bo3bobo39bobo28b2o2bo28bobo3bo25bobobobobo2b
o11b2obobobobo2bo12bobobobob2o19bo3bob2o10bobo2bob2o27b2o3b3o33b3o28bo
3bobo36bo25b2obob2obob2o33b3o$8b6o16b6o3bo27b2ob2o17b7o2bo28b2ob2o24b
3ob2o11b3ob2o25bo4bo39bobo32b2o27bo4bo26b2obo2bob2o13bob2obobob2o13bob
o2bob2obo19bob3o13bo2b3o30b2o2bo31b2o2bo32bo4bo30b2ob3o29bobo2bobo36bo
$13b2o21b3o29bobo18bo2bo2bobo30bobo24bo3b2o2bo8bo4bo2bo20b3o5b2o39bo
61b2o5b3o26bob2o22bobo15bo2b2obo24bo3b3o9b2o5b3o31bob2o24b2obobo2bob4o
24b3o5b2o27bo2bobo31bo2b2o2bo$10bo21b2o2bo31bobo25bo31bobo25b2o4b2o9b
3o3b2o20bo119bo26bo2bo24bo14b2o5bo25bobo2bo15bo2bo32bo2bo21bo2bob2o4bo
3bo24bo36b2o34b2o6b2o$9bobo20b2o35bo59bo28b4o13b2o172b2o25b2o20b2o25b
2o18b2o36b2o21b2obo8bo$10bo147bo2bo347bo7b2o$509b2o3bo$514b5o$518bo$
516bo$516b2o4$bo26bo39bo21bo21bo25bo37bo24bo28bo32bo31bo31bo41bo21bo
24bo21bo37bo38bo36bo$2bo26bo39bo21bo21bo25bo37bo24bo28bo32bo31bo31bo
41bo21bo24bo21bo37bo38bo36bo$3o24b3o37b3o19b3o19b3o23b3o35b3o22b3o26b
3o30b3o29b3o29b3o39b3o19b3o22b3o19b3o35b3o36b3o34b3o2$16b2o25b2o109b2o
368bo$16bo26bo110bo369b3o$18bobo24bobo108bo370bo$14b4ob2o20b4ob2o104b
5o248b2o86bo32b2o$14bo2bo23bo2bo107bo36b2o23b2o27b2o31b2o30b2o30b2o64b
o44b2o38b3o$19b2o25b2o107b2o32bo24bo28bo32bo31bo9bo21bo65bobo42bo2b2o
34bo3b2o33b2o41bo$20bo26bo107bobo33bo24bobo26bobo3b2o25bobo3b2o24bob2o
3bobo22bobo40b2o18b2ob3o21b2o18b2ob3o32bobo2bo33bobo38b3o$20bob2o23bob
2o106bo32b4o21b3obo2b2o20b3obo2bo25b3obo2bo24b3obo3bo2bo20b3obo3b2o34b
o25bo20bo25bo32b3o37bo37bo$17b2obob2o20b2obob2o106b2o35bo24bo3bo24bo4b
o27bo4bo26bob2ob2o25bo3bobo31bobo19b2ob3o19bobo19b2ob3o73bob2o31b2o2bo
$16bobobo22bobobo36b2o20b2o20b2o24b2obo32b4obo19b4ob3o21b4ob4obo22b4ob
4obo21b4obobo24b4ob2obobo31b2o20b2obo21b2o20b2obo37b3o32b2obob2o30bo2b
3o$13b2o2bo2bo19b2o2bo2bo23b2o6b2obo2bo15b2obo2bo15b2obo2bo2bo16b2obo
2bo2bo26bo4bo2bobo14bo4bo2bobo18bo4bo2bobo4bo2bo14bo4bo2bobo4bo16bo4bo
2bobo3b2o16bo4bo2bobobobo27bo21bo24bo21bo37bo6bo3bo30bobobo32bobo4b2o$
13bo4b2o20bo4b2o25bo5bobob3o15bobob3o15bobob2obobobo14bobob2obob2o26b
3o5bob2o13b3o5bobob3o14b3o5bobob2obobobo13b3o5bobob2obob2o13b3o5bobobo
bo2bo14b3o5bobobo29b3o19b3o22b3o19b3o35b3o4b2obobo29bobobo32bobob2obo$
9b2o3b4o23b4o27bobo3bobo14b2o3bobo14b2o3bobo4bo2bo10b2o3bobo4bo32bo5bo
18bo5b2obo2bo16bo5b2obo2bo2bo17bo5b2obo2bobo17bo5b2ob2o2b2o17bo5b2o2bo
31bo21bo24bo21bo37bo4bobobo27b3ob2o31b3obobo2bo$9bo2bobo2bo21bobo2bo
28b2o2b2ob2ob2o10bo2bobob3o12bo2bobob4obo13bo2bobob4obo29b4o6b2o13b4o
10b2o13b4o10b2o17b4o10b2obo14b4o28b4o8b2o28b2ob3o16b2ob3o19b2ob3o14b4o
b3o32b3o3bobo2bo27bo3bo32bo3bobo2bo$11b2obobo20b3obobo34bobo3bo11b4obo
3bo12b4obo4bo15b4obo4bo30bo10bo13bo28bo32bo16b2o13bo31bo40bob2o3bo14bo
b2o3bo16bo2bo4bo13bo2bo4bo31bo2b4obo30bobobo32b2o2bo2b2o$12bob2o20bo4b
ob2o31bobobob2o17bo2b2o17bo2bo22bo2bo33bo4bob3o15bo5b2o21bo5b2o25bo5b
2o8bo15bo11b2o18bo39bo4b2o15bo4b2o17b2o3b3o19b3o35bo3bo32bobo36b2o$10b
o26b2obobo2bobo28b2obobo16b3o19bobo3b2o18bobo3b2o31b2o4b2o17b2o5bo21b
2o5bo25b2o5bo7bobo14b2o8b2o2bo17b2o40b3obo17b3obo22b2o20b2o40bo34bo$
10b2o26bobo2b2ob2o25bo5bobo16bo21b2o24b2o46b2o23bo27bo32bo6b2o25b2obo
3b2o20b2o35bobo19bobo86b2o$38bobo3bo28b5ob2o114bo22b2o26b2o31b2o3bo32b
obo2bo21bo36bo21bo$37b2obobobo32bo115bo90b5o25b2obob2o20b3o$41bobo31bo
bo115b2o93bo24bo2bo24bo$42bo32b2o209bo27b2o$286b2o4$bo25bo24bo25bo24bo
24bo38bo32bo23bo27bo39bo23bo24bo21bo24bo23bo38bo22bo22bo35bo24bo41bo
36bo27bo26bo$2bo25bo24bo25bo24bo24bo38bo32bo23bo27bo39bo23bo24bo21bo
24bo23bo38bo22bo22bo35bo24bo41bo36bo27bo26bo$3o23b3o22b3o23b3o22b3o22b
3o36b3o30b3o21b3o25b3o37b3o21b3o22b3o19b3o22b3o21b3o36b3o20b3o20b3o33b
3o22b3o39b3o34b3o25b3o24b3o$270b2o59b2o43bobo$270bo60b2o43b2obo197b2o$
272bo34bo48bo22bo23bo23bo145bo3b2o$268b5o32b3o21b4o21b3o19b3ob2obo17b
3o21b3o144bobo$268bo35bo23bo2bobo19bo21bo2bobob2o16bo23bo146bo2b7o$
271b2o31b2o22b2o3bo19b2o20b2o23b2o22b2o4b2o115b2o22bobo7bo$16b2o24b2o
23b2o24b2o23b2o24b2o125bobo58b2ob2o94bo115bobob2o19bobobob4o34bo$16bo
25bobo22bo25bobo22bobo23bo128bo60bobo67b2o22b3o34b2o23b2o21b2o34bobo
22bob2o37bobo$18bo25bo24bo25bo24bo24bo127b2o59bo21b2o45bo2bo20bo3b3o
32bo22bobo20bobo34bo2bo21bo4b3o33bobo92b2o$17b2o24b2ob2o20b2o24b2ob2o
20b2ob2o20b2o72b2o22b2o26b2obo31bob2o20bob2obo19bo2bo18bob2o21bo2bobo
18bo2bobo2bo32bob2o19bo22bo34bob4o19bob5o2bo32b2ob2o91bobo$19b2o25bo
23b2o25bo24bo23b2o65b2obo2bo17b2obo2bo2bo18b2obo2bobo31b2obo20b2ob2o
20b3o19b2obo21b4ob2o17b4obobo31b3o2bo17b3o20b3o33bobo22bobo6bo32bo36b
2o26b2o25b2o5bo$12b2ob4o2bo16b2ob4obo16b2ob4o2bo16b2ob4obo16b2ob4obo
16b2ob4o2bo25b2ob2o33bobob3o17bobob2obobobo16bobob2obob2o25b2o22b2o23b
2o20b2o23b2o7bo14b2o8bob2o29bo3b2o17bo3b2o17bo3b2o30bo2bob2obo16bo2bob
4ob2o30bob5o30bo2bo2b2o20bo2bo2b2o19bo2bo4bob2o$11bobobo4bobo14bobobo
3bo16bobobo4bobo14bobobo3bo16bobobo3bo16bobobo4bobo23bobobobo32bobo21b
obo4bo2bo17bobo4bo27bobo3b2obo14bobo3b2ob2o14bobo3b5o11bobo3b2obo15bob
o3b3obo13bobo3b5obo31b4o19b4o2bo16b4o2bo29b4obob2o16b4obo3bo2bo29bo5bo
30bobo4bo2bo17bobo4bo19bobo2b2obo2bo$11bobobob2obobo14bobobob2o17bobob
ob2obobo14bobobob2o14bo2bobobob2o14bo2bobobob2obobo23bobo3b3o28b3ob3o
17b3ob4obo18b3ob4obo28bo5bob3o13bo5bobo16bo5bo2bo12bo5bob3o14bo5bobo
15bo5bo2bobo34bo22bob2o19bobo34bo24bo3bo2bo26b2o3bobobo32bo5bobobo17bo
5bob2o17bo4bobobo$9b3obobobo2b2o13b3obobobo16b3obobobo2b2o13b3obobobo
15b4obobobo15b4obobobo2b2o22b3obobo4bo26bo3bo3bo15bo3bo4bo18bo3bo4bo
33bo6bo18bobo20bo21bo6bo17bo23bo5bo32b2obobo17b2obobo10b2o5b2obob2o29b
4o21b4o5b2o27bo2bobob2o36b2obo2bo21b2obo2bo20bobob2o$8bo3bobobo2bo14bo
3bobobo2bo13bo3bobobo2bo14bo3bobobo2bo7b2o8bobobo2bo17bobobo2bo23bo3bo
b2ob3o27bobobo2b2o15b2o2bob3o19b2o2bob2o35b2o4b2o19bo21b2o20b2o4b2o17b
2o22b2o38bo2b2o18bobobo10bo7bobo2bo28bo4b3o17bo4b3o33b2obo5bo33bo2bo
22bo2bob2o22b2o$8b2o2bobobob2o14b2o2bobobob2o12bo2bobobobob2o13bo2bobo
bobob2o8bo2b5obobobob2o11b5obobobob2o23b2o2bo4bo30bobo25b2o26bob2o192b
obo20bo4bo8b2obo5bo4bo28b3obobo2bo15b3obobo2bo37b6o30bo4bo19b2o2b3o23b
o$13b2obo22b2obo15bob2ob2obobo15bob2ob2obobo10bobo4bob2obobo12bo4bob2o
bobo30b3o33bo250b2o21b5o9bo2bob2o2b5o28bo3b2obo17bo3b2obo76b5o20bo29b
5o$16bo25bo16bo2bo3bobo16bo2bo3bobo11bob2o7bobo11bob2o7bobo32b2o322b2o
bo37b2o3bo19b2o3bo43b2o58b6o27bo$16b2o24b2o16bobo3b2o18bobo3b2o14bobo
6bob2o10bobobo6bob2o341bo17b4obo33b3o22b3o44b2o34bo28bo25bo$61bo25bo
18bo2bo2bo3b2o3bo8b2o2bo2bo3b2o3bo339bobo18bob2o33bo24bo81bobo24bo28b
2o$106b2obob2o2bo2bobo2bo8bobob2o2bo2bobo2bo338bo164bo24bobo$109bo5bob
2obob2o8bobo5bob2obob2o529bo$109bob5obo2bo12b2ob5obo2bo$110bo5bo2b2o
14bo5bo2b2o$111bob3o19bobobo$112b2o22b2ob2o4$5bo28bo28bo28bo28bo28bo
28bo28bo28bo28bo28bo28bo28bo28bo28bo28bo$6bo28bo28bo28bo28bo28bo28bo
28bo28bo28bo28bo28bo28bo28bo28bo28bo$4b3o26b3o26b3o26b3o26b3o26b3o26b
3o26b3o26b3o26b3o26b3o26b3o26b3o26b3o26b3o26b3o5$20b2o27b2o27b2o27b2o
27b2o27b2o27b2o27b2o27b2o27b2o27b2o27b2o27b2o27b2o27b2o27b2o$20bo28bo
28bo28bo28bo28bo28bo28bo28bo28bo28bo28bo28bo28bo28bo28bo$18bobo26bobo
26bobo26bobo26bobo26bobo26bobo26bobo26bobo26bobo26bobo26bobo26bobo26bo
bo26bobo26bobo$18b2o27b2o27b2o27b2o27b2o27b2o27b2o27b2o27b2o27b2o27b2o
27b2o27b2o27b2o27b2o27b2o2$4b2o3b2o19b2ob2o3b2o18b2o2b2o3b2o19b2ob2o3b
2o19b2ob2o3b2o19b2ob2o3b2o18b2o2b2o3b2o22b2o3b2o22b2o3b2o18b2o2b2o3b2o
19b2ob2o3b2o19b2ob2o3b2o19b2ob2o3b2o19b2ob2o3b2o18b2o2b2o3b2o22b2o3b2o
$4b2o2bo2bo17bobob2o2bo2bo18bo2b2o2bo2bo17bobob2o2bo2bo19bob2o2bo2bo
17bobob2o2bo2bo18bo2b2o2bo2bo21b2o2bo2bo21b2o2bo2bo18bo2b2o2bo2bo17bob
ob2o2bo2bo19bob2o2bo2bo17bobob2o2bo2bo17bobob2o2bo2bo18bo2b2o2bo2bo21b
2o2bo2bo$8bobo3b2o13bo7bobo3b2o13bo7bobo3b2o13bo7bobo3b2o13bo7bobo3b2o
13bo7bobo3b2o13bo7bobo3b2o12b2o7bobo3b2o21bobo3b2o13bo7bobo3b2o13bo7bo
bo3b2o13bo7bobo3b2o13bo7bobo3b2o13bo7bobo3b2o13bo7bobo3b2o12b2o7bobo3b
2o$9bo4b2o2b2o6b2ob2o7bo4b2o2b2o9b2o7bo4b2o2b2o6b2ob2o7bo4b2o2b2o9b2o
7bo4b2o2b2o6b2ob2o7bo4b2o2b2o9b2o7bo4b2o2b2o8bo9bo4b2o2b2o18bo4b2o13b
2o7bo4b2o10b2ob2o7bo4b2o13b2o7bo4b2o10b2ob2o7bo4b2o10b2ob2o7bo4b2o13b
2o7bo4b2o12bo9bo4b2o$18bobo6bo19bobo6b2o18bobo6bo19bobo6b2o18bobo6bo
19bobo6b2o18bobo4b2obo18bobo35b2o27bo28b2o27bo28bo28b2o25b2obo$3bob2o
4bo8bo6bob4ob2o4bo8bo5bo2b4ob2o4bo8bo6bob4ob2o4bo8bo5bo2b4ob2o4bo8bo6b
ob4ob2o4bo8bo5bo2b4ob2o4bo8bo4bo2bob2o2b2o4bo8bo11bob2o4bo14bo2b4ob2o
4bo15bob4ob2o4bo14bo2b4ob2o4bo15bob4ob2o4bo15bob4ob2o4bo14bo2b4ob2o4bo
13bo2bob2o2b2o4bo$b3ob2o3bobo7b2o6bo3bobobo2bobo7b2o3bobo4bobobo2bobo
7b2o6bo3bobobo2bobo7b2o3bobo4bobobo2bobo7b2o6bo3bobobo2bobo7b2o3bobo4b
obobo2bobo7b2o5b2obobo2bo3bobo7b2o8b3ob2o3bobo12bobo4bobobo2bobo15bo3b
obobo2bobo12bobo4bobobo2bobo15bo3bobobo2bobo15bo3bobobo2bobo12bobo4bob
obo2bobo14b2obobo2bo3bobo$o10bo17b2obobobo3bo13bobob2obobobo3bo17b2obo
bobo2bobo12bobob2obobobo3bo17b2obobobo3bo13bobob2obobobo3bo19b2obo5bo
17bo10bo13bobob2obobobo3bo17b2obobobo3bo13bobob2obobobo2bo2bo15b2obobo
bo3bo17b2obobobo3bo13bobob2obobobo3bo19b2obo5bo$b3ob2o23bobobob4o15b2o
2bobobob4o19bobobob3obo14b2o2bobobob4o19bobobob4o15b2o2bobobob4o22b2ob
o22b3ob2o19b2o2bobobob4o19bobobob4o15b2o2bobobob3o2b2o16bobobob4o19bob
obob4o15b2o2bobobob4o22b2obo$3b2o2bo20bo2bobobo21bo2bobobo21bo2bobobo
3bo17bo2bobobo21bo2bobobo21bo2bobobo22b3o3b2o24bobo2bo19bo2bobobo21bo
2bobobo21bo2bobobo21bo2bobobo21bo2bobobo8b2o11bo2bobobo22b3o3b2o$6b2o
20b2obobobo2b2o17b2obobobo2b2o17b2obobobobo19b2obobobobo19b2obobobob5o
15b2obobobob5o16bo2b2o31b2o19b2obobobo2b2o17b2obobobo2b2o17b2obobobob
2o18b2obobobobo19b2obobobob5o2bo12b2obobobob5o16bo2b2o$31bob2o3b2o20bo
b2o3b2o19bobob2ob2o19bo2b2ob2obo20bobob2obo4bo16bobob2obo4bo18bo56bob
2o3b2o20bob2o3b2o18bo2b2ob2obo19bo2b2ob2obo20bobob2obo4bobo14bobob2obo
4bo18bo$31bo28bo27bobo3bo2bo18bo4bo3bo20bobo7b2obo15bobo7b2obo18bo55bo
28bo26bo4bo23bo4bo3bo20bobo7b2obo15bobo7b2obo18bo$30b2o27b2o28b2o3bobo
20b3obo3b2o18b2obo6bobobo14b2obo6bobobo17b2o54b2o27b2o27b3obo24b3obo3b
2o18b2obo6bobo16b2obo6bobobo17b2o$95bo23b2o23bo3b2o3bo2bo2b2o12bo3b2o
3bo2bo2b2o132b2o27b2o23bo3b2o3bo2bo2bo13bo3b2o3bo2bo2b2o$142bo2bobo2bo
2b2obobo2bo9bo2bobo2bo2b2obobo186bo2bobo2bo2b2obob2o11bo2bobo2bo2b2obo
bo$142b2obob2obo5bo2b2o10b2obob2obo5bobo186b2obob2obo5bo14b2obob2obo5b
obo$145bo2bob5obo17bo2bob5ob2o190bo2bob5obo17bo2bob5ob2o$145b2o2bo5bo
18b2o2bo5bo192b2o2bo5bo18b2o2bo5bo$151bobo25b4obo198bo2bo24bo2bobo$
150b2ob2o26bobo198b2o2b2o22b2o2b2o4$bo31bo31bo26bo26bo26bo26bo26bo26bo
26bo26bo26bo21bo21bo$2bo31bo31bo26bo26bo26bo26bo26bo26bo26bo26bo26bo
21bo21bo$3o29b3o29b3o24b3o24b3o24b3o24b3o24b3o24b3o24b3o24b3o24b3o19b
3o19b3o8$281bo26bo$14b2obo28b2obo28b2ob2o22b2ob2o22b2o25b2o25b2ob2o22b
2ob2o22b2o25b2ob2o6bo2b3o10b2ob2o6bo2b3o10b2o20b2ob2o17b2ob2o$15bob3o
27bob3o27bob2o23bob2o23bo26bo26bob2o23bob2o23bo26bob2o6b3o3bo10bob2o6b
3o3bo10bo21bob2o18bob2o$6b2o7bo4bo26bo4bo26bo26bo26bob2o14b2o7bob2o23b
o26bo26bob2o23bo13b2obo9bo13b2obo9bob2o18bo21bo$6bobo4bobo3bobo23bobo
3bobo23bobo24bobo24bobob2o14bobo4bobob2o21bobo24bobo15b2o7bobob2o12b2o
7bobo9b4obobo7bobo9b4obobo7bobob2o16bobo19bobo$8bo4b2o3bobo24b2o3bobo
24b2o25b2o25b2o20bo4b2o17b2o6b2o17b2o6b2o15bo2bo6b2o15bo2bo6b2o7bobo4b
o2bob2o4b2o9bo4bo2bob2o4b2o20b2o10b2o8b2o$8b2o8bo31bo102b2o22bobo24bob
o21bobo2bo21bobo2bo14b2obobo4bobo15bobobo4bobo39bo2bo$17b2o30b2o128bo
26bo20bo2b2obo20bo2b2obo17bob2o2b2obo15bobob2o2b2obo40b2obo$8b2o3b2o6b
o23b2o6bo15b2o6b2o25b2o25b2o20b2o3b2o19b3o3b2o19b3o3b2o14b2o3b3o3b2o
14b2o3b3o3b2o10bo8b3o3b2o7b2obo8b3o3b2o12b2o6b2o12bo2bo4b2o$8bo4b2o2b
5o23b2o2b5o15bobob2o2b2o21b2o2b2o25b2o20bo4b2o17b2o3bo2b2o17b2o3bo2b2o
16b3o3bo2b2o16b3o3bo2b2o7b2obo5b3o3bo2b2o7bo2bo5b3o3bo2b2o12bo2b2o3b2o
12bo3bo3b2o$6bobo8bo31bo21bob2o24bobo49bobo22bo2b4o20bo2b4o20bo2b4o20b
o2b4o11bo2b3o3bo2b4o12bob3o3bo2b4o17b3obo17b3obo$6b2o12b2o30b2o16bo28b
o51b2o23b3o24b3o25b2o25b2o17bo3bo3b2o17bo3bo3b2o25b5o15bob5o$12b2o7bo
22b2o7bo16b2ob2o23b2o79b4o23b4o18b3o2b4o18b3o2b4o14b2ob4o2b4o14b2ob4o
2b4o19b2o4bo16bo4bo$13bo2bo4bobo21bo2bo4bobo15bobo100b5o3bo18b5o3bo3b
2o13bo2b2o3bo3b2o13bo2b2o3bo3b2o10b2o4b2o3bo3b2o10b2o4b2o3bo19bo2bo21b
o$11bobobobo4b2o16b2obobobobo4b2o15bobo100bo4b2obobob2o13bo4b2obobo2bo
14b2o2b2obobo2bo14b2o2b2obobo2bo8bo4b3o2b2obobo2bo8bo4b3o2b2obobob2o
16b2o20b2o$11b2obobobo21bob2obo2b2o22bo104bo2bobob2obo16bo2bobob3o17bo
2bobob2o18bo2bobob3o9b4obo2bo2bobob3o9b4obo2bo2bobob2obo$14bo3bo26bo
131b2o4bo20b2o2bo22b2o4bo20b2o2bo18bo3b2o2bo18bo3b2o4bo$14b2o2b2o25b2o
132b3obo25b3o21b3obo25b3o13bo10b3o13bo7b3obo$179bo2bo28bo21bo2bo28bo
13b2o11bo13b2o6bo2bo$180b2o52b2o79b2o4$bo27bo27bo27bo27bo27bo27bo27bo
20bo$2bo27bo27bo27bo27bo27bo27bo27bo20bo$3o25b3o25b3o25b3o25b3o25b3o
25b3o25b3o18b3o7$171bo27bo$169b3o25b3o$15bo27bo27bo27bo27bo27bo9b2obo
14bo9b2obo14bo20bo$14bobo25bobo25bobo25bobo25bobo25bobo8bo3bo12bobo8bo
3bo12bobo18bobo$15b2o26b2o26b2o26b2o26b2o15b2o9b2o10b2obo12b2o10b2obo
12b2o19b2o$11bo27bo27bo17b2o8bo17b2o8bo19bobo5bo11b4obobo8bo11b4obobo
8bo20bo$10bobo17b2o6bobo17b2o6bobo15bo2bo6bobo15bo2bo6bobo18bo6bobo9bo
4bo2bob2o4bobo9bo4bo2bob2o4bobo18bobo$9bo2bo17bobo4bo2bo17bobo4bo2bo
14bobo2bo4bo2bo14bobo2bo4bo2bo15b2ob2o4bo2bo8bobobo4bobo4bo2bo7bo2bobo
4bobo4bo2bo17bo2bo$10b2o20bo5b2o20bo5b2o14bo2b2obo5b2o14bo2b2obo5b2o
17bobo6b2o9bobob2o2b2obo5b2o8b2obob2o2b2obo5b2o19b2o$32b3o25b3o20b2o3b
3o20b2o3b3o22bo2b3o13b2obo8b3o16bo8b3o17b2o$4bob2o22b2o3bo22b2o3bo21b
3o3bo21b3o3bo22b2o3bo13bobo5b3o3bo15bo5b3o3bo16bo2b2o$2b3ob2o3b2o16bo
2b4o3b2o16bo2b4o3b2o16bo2b4o3b2o16bo2b4o3b2o19b4o3b2o8bob3o3bo2b4o3b2o
7b2ob3o3bo2b4o3b2o7b2o3b2obo3b2o$bo9b2o16b3o7b2o16b3o7b2o17b2o7b2o17b
2o7b2o19bo6b2o9bo3bo3b2o7b2o7bobo3bo3b2o7b2o7bo2bobo6b2o$2b3ob2o24b4o
24b4o19b3o2b4o19b3o2b4o22bobob2o15b2ob4o2b4o15b2ob4o2b4o14b2o2b2o$4b2o
2bo18b5o3bo3b2o14b5o3bo3b2o14bo2b2o3bo19bo2b2o3bo3b2o17b2o2bo17b2o4b2o
3bo3b2o11b2o4b2o3bo3b2o11bobobo$7b2o18bo4b2obobo2bo14bo4b2obobo2bo15b
2o2b2obobob2o15b2o2b2obobo2bo21bobo13bo4b3o2b2obobo2bo9bo4b3o2b2obobo
2bo11bo2b2o$30bo2bobob2o19bo2bobob3o18bo2bobob2obo17bo2bobob3o23b2o13b
4obo2bo2bobob3o10b4obo2bo2bobob2o12b2o6bo$30b2o4bo21b2o2bo23b2o4bo21b
2o2bo47bo3b2o2bo19bo3b2o4bo18b5o$32b3obo26b3o22b3obo26b3o42bo10b3o14bo
7b3obo18bo$32bo2bo29bo22bo2bo29bo42b2o11bo14b2o6bo2bo21bo$33b2o54b2o
110b2o21b2o4$bo22bo22bo22bo22bo22bo22bo22bo22bo19bo16bo$2bo22bo22bo22b
o22bo22bo22bo22bo22bo19bo16bo$3o20b3o20b3o20b3o20b3o20b3o20b3o20b3o20b
3o17b3o14b3o5$46bo$45bobo$45bobo$22b2o20b2ob2o130bo3b2o$23bo154bobo2bo
$23bobo18b2ob2o129bobo4bo18bo$5b2o17b2o2b2o13bobob2o2b2o21b2o21b2o21b
2o21b2o21b2o11bob5o3b2o12bobo3b2o15b2o$5b2o3bo17b2o3bo9bo7b2o3bo17b2o
3bo17b2o3bo17b2o3bo17b2o3bo8b2o7b2o3bo9bo7b2o3bo9bo4b2o3bo11b2o3bo$9bo
bo20bobo9bo10bobo20bobo20bobo20bobo20bobo8bo2b2o7bobo7bo3b2o7bobo17bob
o14bobo$10bobo20bobo9bo10bobo10b2o8bobo20bobo20bobo20bobo7bobobo8bobo
5bo3bobo8bobo17bobo14bobo$2o2b2o6bo9b2obobobo5bo10bobobobo5bo10bobob2o
6bo9bo2bob2o6bo12bob2o6bo9bo2bob2o6bo6b2o2bo3b2o6bo5b2o3bo3b2o6bo8b2ob
2o6bo16bo$o2bobo6b2o8bob2ob2obo4b2o10b2ob2obo4b2o11bob2o6b2o8b4ob2o6b
2o9b3ob2o6b2o8b4ob2o6b2o3bo2bo5bobo6b2o12bobo6b2o6bobobo7b2o15b2o$2b2o
bobo22bo22bo16bo43bo40b2o7bobobo18bobobo12bobo3bo$6b2o22b2o21b2o15bob
3o18b5o17b6o18b5o19b2obob3o15b2obob3o8b3obobob3o$71bo3bo2bo13bo5bo22bo
13b2obo5bo16bo5bo3bo12bo5bo3bo6bo3bob2o4bo$73bob4o13b2o2b2o3b2o12b2o2b
2o3b2o10bob2o2b2o17b5obo2b2o12b5obo2b2o7b2obo4b3o$71bob2o22bobo2bo12bo
2bobobo2bo9bo2bo2bobobob2o17bo22bo14bob3obo$70bobo3bo19bo2b2o16b2obob
2o11b2o2b3obob2obo14b3o20bobo15bo3b2o$70bo2bob2o19b2o20bobo21bo20bo22b
2o15b2o$71b2o45bobo20bo$119bo21b2o4$bo31bo31bo25bo28bo32bo31bo32bo46bo
bo29b2ob2o13bo22bo24bo27bo$2bo31bo31bo25bo28bo32bo31bo14bo17bo14bo29bo
b4o26bobobo15bo22bo24bo27bo$3o29b3o29b3o23b3o26b3o20b2o8b3o20b2o7b3o
13bobo3b2o9b3o13bobo3b2o23bo5bo2b2o21bo5bo2b2o7b3o20b3o22b3o25b3o$142b
o32bo23bo2bo3bobo23bo2bo3bobo20b2ob5obo2bo19b2ob5obo2bo98b2o$139b2obo
29b2obo22bob2ob2obobo22bob2ob2obobo19bobo5bob2obob2o15bobo5bob2obob2o
95bobo$108b2o24b2o2bobobob2o21b2o2bobobob2o19bo2bobobobob2o20bo2bobobo
bob2o6bo10bobob2o2bo2bobo2bo4bo10bobob2o2bo2bobo2bo73bo23b3o$13b2o5b2o
86bo2b2o21bo3bobobo2bo21bo3bobobo2bo20bo3bobobo2bo21bo3bobobo2bo7bo7b
2o2bo2bo3b2o3bo7bo7b2o2bo2bo3b2o3bo42b2o5b2o23bobo21bo3bo$13bo7bo64bo
22b2ob3o20b3obobobo2b2o20b3obobobo23b3obobobo2b2o20b3obobobo7b3o8bobob
o6bob2o6b3o8bobobo6bob2o43bo7bo23bo2bo21bo2bo$14b3ob3o63b3o28bo21bobob
ob2obobo21bobobob2o24bobobob2obobo21bobobob2o17bob2o7bobo18bob2o7bobo
45b3ob3o23b2ob2o22bob2o$16bobo64bo25b2ob3o22bobobo4bobo21bobobo3bo23bo
bobo4bobo21bobobo3bo17bo4bob2obobo19bo4bob2obobo47bobo25bo2bo24bo2bo$
83b2o24b2obo25b2ob4o2bo23b2ob4obo23b2ob4o2bo23b2ob4obo17b5obobobob2o
18b5obobobob2o74b2o2bo23b2o2bo$24b2o30b2o87b2o32bo30b2o32bo23bobobo2bo
24bobobo2bo75bob2o24bob2o$22bo2bo28bo2bo85b2o31b2ob2o27b2o31b2ob2o18b
4obobobo22b4obobobo2b2o73bo27bo$14b2o2b2o2b3o21b2o2b2o2b3o21b2o2b2o20b
2o2b2o23b2o2b2o5bo21b2o2b2o5bo20b2o2b2o5bo21b2o2b2o5bo21bo2bobobob2o
21bo2bobobob2obobo17b2o2b2o17b2o2b2o19b2o2b2obo20b2o2b2obo$11bo3bo2b2o
5b3o15bo3bo2b2o5b3o15bo3bo2b2o17bo3bo2b2o20bo3bo2b2o4bo19bo3bo2b2o3bob
o17bo3bo2b2o3bo20bo3bo2b2o3bobo24bobobo3bo23bobobo4bobo14bo3bo2b2o14bo
3bo2b2o16bo3bo2b2ob2o16bo3bo2b2ob2o$7b2o2b4o9bo3bo10b2o2b4o9bo3bo10b2o
2b4o18b2o2b4o21b2o2b4o9b2o14b2o2b4o8b2o14b2o2b4o8b2o15b2o2b4o8b2o26b2o
b4obo23b2ob4o2bo11b2o2b4o15b2o2b4o17b2o2b4o20b2o2b4o$7bo15bobobo11bo
15bobobo11bo25bo28bo32bo31bo32bo51bo30b2o12bo22bo24bo27bo$8b7o2bob2o3b
2ob2o11b7o2bob2o3b2ob2o11b5o21b5o24b5o28b5o27b5o28b5o43b2ob2o27b2o15b
5o18b5o20b5o23b5o$14b4obo26b4obo25bo25bo28bo32bo31bo32bo32b2o2b2o5bo
20b2o2b2o5bo20bo22bo24bo27bo$10b2o7bo22b2o7bo22b3o23b3o26bobo30bobo29b
obo30bobo30bo3bo2b2o3bobo17bo3bo2b2o3bo19bobo20b3o22b3o25b3o$10b2o4b2o
bobo20b2o4b2obobo20bo25bo28b2o31b2o30b2o31b2o27b2o2b4o8b2o14b2o2b4o8b
2o18b2o21bo24bo27bo$16bob2ob3o24bob2ob3o200bo31bo$24bo31bo200b5o27b5o$
23b2o30b2o205bo31bo$259bobo29b3o$259b2o30bo4$bo19bo27bo27bo25bo25bo25b
o24bo27bo25bo24bo25bo15b2o8bo15b2o10bo24bo24bo30bo31bo30bo30bo27bo$2bo
19bo27bo27bo25bo25bo25bo24bo27bo25bo12bob2o8bo25bo11b2o2bo9bo11b2o2bo
11bo24bo24bo30bo31bo30bo30bo27bo$3o17b3o25b3o25b3o23b3o23b3o23b3o22b3o
25b3o23b3o12b2o2bo5b3o13b2o8b3o10bo2b2o8b3o10bo2b2o10b3o22b3o22b3o16bo
11b3o15b2o12b3o28b3o28b3o18b2o5b3o$246b2o3bobo15bob2o2bo21bobo2b3o18bo
bo2b3o74b3o28bobo90b2o3bo$245bo3b2obo16b2obobo23bobobo2bo18bobobo2bob
2o69bo30bo92bob3obo$246b3obo23b2o2b2o20b2o2b2o20b2o2b2obo65b2o2bob5o
20b2o2bob5o85b3o4bob2o$248bo3bo20bo5bo19bo25bo5bo2bo64bo3bo5bo20bo3bo
5bo84bo4b2obo3bo$41bo19b2o52b2o132b3obo20b5o21b6o20b5o2b2o17b2o46b3obo
b2o23b3obob2o87b3obobob3o$40bobo19bo53bo136bo52bo45bobob2o44bobobo7b2o
17bobobo90bo3bobo$40bobo19bob2ob2o47bob2ob2o126b2obo21b2ob4o19b2ob3o
20b2ob2o23bobo2bo44bobo5bo2bo19bobo92bobobo$39b2ob2o19bobobobo27b2o18b
obobo2bo124b2obobo19b2obo2bo19b2obo22b2obo2bo21b2o2b2o44b2o3bo2b2o21b
2o3bo3b2o57b2o3bo20b2ob2o$70bo26bo25b2o128b2o76b2o75bobobo26bobo3bo58b
o2bobo$39b2ob2o27bo23bobo310b2o2bo26b2o3bo57bo4bobo52bo$15b2o18b2o2b2o
bobo18b2o7bo18b2o2b2o20b2o24b2o24b2o23b2o26b2o24b2o23b2o24b2o24b2o26b
2o23b2o23b2o7b2o20b2o7bo22b2o29b2o3b5obo19b2o4bo21b2o3bobo$11bo3b2o14b
o3b2o7bo14bo3b2o2b2obobo14bo3b2o20bo3b2o2b2o16bo3b2o20bo3b2o19bo3b2o
22bo3b2o20bo3b2o19bo3b2o20bo3b2o20bo3b2o22bo3b2o19bo3b2o19bo3b2o25bo3b
2o3b5obo16bo3b2o7b2o16bo3b2o7bo17bo3b2o3bobo16bo3b2o4bo$10bobo17bobo
10bo14bobo6b2ob2o14bobo23bobo6bobo14bobo23bobo7b2o13bobo25bobo23bobo
22bobo23bobo23bobo25bobo22bobo22bobo28bobo7bo4bobo14bobo7b2o2bo16bobo
7b2o3bo15bobo8bo16bobo$9bobo17bobo10bo14bobo25bobo23bobo9bo13bobo23bob
o9bo12bobo25bobo23bobo22bobo23bobo23bobo25bobo22bobo22bobo28bobo11bo3b
o13bobo8bobobo15bobo8bobo3bo13bobo25bobo$9bo19bo5bobobobo15bo9b2ob2o
13bo5bobobob2o12bo11b2o12bo6b2ob2o14bo6b2obo14bo6b2obo2bo14bo6b2obo15b
o24bo25bo25bo27bo24bo6b2o2b2o12bo30bo13b2o2b2o12bo6b2o3bo2b2o14bo6b2o
3bo3b2o13bo27bo6b2ob2o$8b2o18b2o4bob2ob2o15b2o10bobo13b2o4bob2ob2obo
11b2o24b2o6b2obo14b2o6b2ob2o12b2o6b2ob4o13b2o6b2ob3o12b2o23b2o24b2o24b
2o26b2o23b2o6bobo2bo11b2o29b2o30b2o6bobo5bo2bo11b2o6bobo20b2o26b2o7bob
obo$34bo33bobo19bo58bo79bo147bobob2o82bobobo7b2o17bobobo55bo3bobo$33b
2o34bo19b2o53b5obo19b5o20b5o23b6o148b2o84b3obob2o23b3obob2o52b3obobob
3o$143bo5bo19bo5bo18bo5bob2o18bo239bo3bo5bo20bo3bo5bo49bo4b2obo3bo$
141b3obobo22b2o2b2o19b2o2b2obo20b2o2b2o233b2o2bob5o20b2o2bob5o50b3o4bo
b2o$140bo3b2ob2o16b2obobo22bobobo2bo2bo14b2obobobo2bo238bo30bo57bob3ob
o$141b2o3bo18bob2o2bo20bobo2b3o2b2o14bob2obob3o240bobo28b3o55b2o3bo$
143b2obo23b2o20bo2b2o27bo244b2o30bo60b2o$143bobo47b2o2bo27bo$196b2o26b
2o4$bo23bo23bo21bo21bo23bo23bo20bo20bo20bo$2bo23bo23bo21bo21bo23bo23bo
20bo20bo20bo$3o21b3o21b3o19b3o19b3o21b3o21b3o18b3o18b3o18b3o4$112bo23b
o$17b2o22b2o67b3o21b3o$16bobo21bobo22b2o20b2o20bo23bo$16bo23bo22bo2bo
18bo2bo18bo2bo20bo2bo$15b2o22b2o22b3o19b3o19b4o20b4o62b2o19b2o$155b2o
19b2o19b2o19b2o$15b4o20b4o20b3o19b3o19b2o22b2o22b2o19b2o$3b2o10bo2bo8b
2o10bo2bo8b2o10bo2bo6b2o10bo2bo6b2o11bo10b2o11bo10b2o19b2o19b2o19b2o$
2bobo4b2o6bo8bobo4b2o6bo8bobo4b2o6b2o5bobo4b2o6b2o5bobo4b2o5bobo7bobo
4b2o5bobo7bobo4b2o12bobo4b2o12bobo4b2o12bobo4b2o$2bo6b2o7b3o5bo6b2o7b
3o5bo6b2o13bo6b2o13bo6b2o6b2o7bo6b2o6b2o7bo6b2o12bo6b2o12bo6b2o12bo6b
2o$b2o17bo4b2o17bo4b2o20b2o20b2o22b2o22b2o19b2o19b2o19b2o$5b2o6bo15b2o
6bo15b2o6bo13b2o6bo2b2o9b2o6bo15b2o6bo15b2o6bo12b2o6bo12b2o6bo12b2o6bo
$5bobo2bobobo14bobo2bobobob2o11bobo2bobobo12bobo2bobobo2bo9bobo2bobobo
14bobo2bobobob2o11bobo2bobobo11bobo2bobobob2o8bobo2bobobo11bobo2bobobo
b2o$7b4obob3o14b4obob2obo13b4obob3o12b4obob3o12b4obob3o14b4obob2obo13b
4obob3o11b4obob2obo10b4obob3o11b4obob2obo$3b4o5bo4bo9b4o5bo14b4o5bo4bo
7b4o5bo12b4o5bo4bo9b4o5bo14b4o5bo4bo6b4o5bo11b4o5bo4bo6b4o5bo$3bo2bo2b
2obob3o10bo2bob4ob4o10bo2bo2b2obob3o8bo2bob4ob2o10bo2bo2b2obob3o10bo2b
ob4ob4o10bo2bo2b2obob3o7bo2bob4ob4o7bo2bo2b2obob3o7bo2bob4ob4o$9bob2ob
o16b2o2bobo2bo16bob2obo14b2o2bobobo15bob2obo16b2o2bobo2bo16bob2obo13b
2o2bobo2bo13bob2obo13b2o2bobo2bo$84bo!
apgoucher — 06/04/2024 6:30 PM: Sidesnaggers should show up at the next size (9x9 with 18 active cells). I'd expect that to take less than a day on a 4090 unless there's something fascinating (e.g. stable reflector or G-to-2c/3) lurking in there causing an unexpected growth in the size of the search space.
(Of course I'm hoping for the latter!)
xp3_xggk171z8e82 — 06/04/2024 6:30 PM: Sidesnaggers? How do you know?
apgoucher — 06/04/2024 6:31 PM: Because when you run the sidesnagger, the active region remains <= 9x9 in every generation

Re: Silk search results thread

Posted: September 24th, 2024, 7:31 am
by dvgrn
Drifters in wires, other types of signals in conduits, and the occasional oscillator
The following probably misses a bunch of interesting search results where "Silk" wasn't mentioned close enough to the posted pattern that I could find it in a quick pass -- I'll keep filling in quotes here as I find them or they're pointed out. I might add a new separate post for the oscillator stuff, and another one for the sparse conduit stuff, and leave this post for the dense-wire search results.

At some point the whole "Silk discussion thread" probably ought to get cross-posted, also -- at least in a form similar to very's JSON export. I don't have a good automated way to do this kind of conversion yet, but it's probably worth coming up with something. Looks like attachments and images weren't exported in very's big #cgol channel export (and offhand I don't even know how that was done exactly) -- whereas I've included key images below, and have quoted the occasional RLEs that were too big for Discord and showed up as attachments.
On Discord, various people wrote:apgoucher — 06/06/2024 12:26 PM
Silk has discovered a new variant of @mvr 's 180-degree elbow:

Code: Select all

x = 31, y = 34, rule = B3/S23
6bo$6b3o$9bo$4b6o$2obo$2obo2b6o$3bobobo4bo$3bobob6o$4b2obo7bo$7bo2b6o$
7bobo$6b2obo2b6o$9bobo6bo$9bobo2b5o$10b2obo7bo$13bo2b6o$7b2o4bobo$7bo
4b2obo2b4o5b2o$8bo3bo2bobo4bo4bo$7b2o5b2obo2b2obo4bo$17bobo3bo3b2o$2o
10b6obob2ob2o$o2bob2o5bo5bobobobob2obo$b3obobo5b3o2bobobo3bob2o$5bobo
2bo5bobobobobobo$3b3ob4o4bo2bobobob2ob2obo$2bo3bo9b2o2bob2o3bob2o$2b2o
2bob2obo8bo4b2o$7bobob3obob4ob3o$10bo3b2obo3bo3b4o$11b2o5b2o3bobo2bo$
13b4obob4o$13bo2bobobo3bo$19bo3b2o!
iNoMed — 06/07/2024 8:49 AM
From the Silk discussion thread, this is a cool fizzle

Code: Select all

x = 55, y = 42, rule = B3/S23
6bo$6b3o$9bo$4b6o$2obo$2obo2b6o$3bobobo4bo$3bobob6o$4b2obo7bo$7bo2b6o$
7bobo$6b2obo2b6o$9bobo6bo$9bobo2b5o$10b2obo7bo$13bo2b6o$13bobo$12b2obo
2b4o$12bo2bobo4bo3bobo$14b2obo2b2obobob2o$17bobo3bobo$17bobob2obob3o4b
2o$18bobobobobo2bo2bo2bo$20bobobo2b3o3bobo$20bobobo5b4o2b2o$17b2obobo
2b5o4bobo2b2o$18bobobo7bo2b2o2bobo$18bobo2b4o2b2o4bobobobo$19b2o6bo5b
2obobobobo$25b2o5bo3bo2bo2bo$25bo5bobobob2o3b2o$27bo2bo2bobo$26b5obo2b
4o10b2o$32bobo3bo5b2obo2bo2bo$28b4o2b4o5bobob2obobobo$28bo3b2o6bo2bobo
4bo2bo$31bo2b2o4b4ob4obo$31b2obo9bo4bo$34bo5b3obo2bo$34b2o5bobo3b2o$
39bo$39b2o!
apgoucher — 06/08/2024 9:43 AM
Silk was able to discover the first part of the speed tunnel at 9 9 18:

Code: Select all

x = 24, y = 25, rule = B3/S23
bo4b2o10bo$2bo4bo8b3o3b2o$3o4bobo5bo5bobo$8b2o5b2o4bo$20b2o$19bo$19b3o
$22bo$19b2obo$19bobo5$11b2o5b2o$10bo2bo4bobo$6b2o3bobo6bo$2b2obobo4bo
7bob2o$3bobo9b2obobob2o$2bo2b2o8b2ob2o$3b2o$5b2o8b2ob2o$5bo10bobo$7bo
8bobo$6b2o9bo!
apgoucher — 06/09/2024 6:54 AM
Silk rediscovers the whole Snark from scratch given a single glider when you give it active bounds of 10 10 12 (i.e. 10x10 bbox and 12 active cells) within 2 minutes running on a 4090 GPU:

Code: Select all

# Found fizzle
.................o..............................................
..................o.............................................
................ooo.............................................
...............................*................................
.............................***................................
............................*........*..........................
............................**.....***..........................
..................................*.............................
..................................**............................
................................................................
................................................................
................................................................
................................................................
..................**............................................
.................*.*.....**.....................................
.................*.......**.....................................
................**..............................................
................................................................
..............................*.................................
..........................**.*.*................................
.........................*.*.*.*................................
......................*..*.*.*.*.**.............................
......................****.**..*..*.............................
..........................*....**...............................
........................*.*.....................................
........................**......................................
Of course unless you use mvr's new -s option it will then just waste an eternity constructing long chains of Snarks capped with various eaters.

In particular I left it running and this is the last thing that it outputted...

Code: Select all

x = 41, y = 68, rule = B3/S23
33b2o$32bobo$32bo$31b2obo$31bo2b3o$25b2obo3b2o3bo$25bob2o6bo2bo$32b5ob
o$32bo5b2o$33b3obo$35bobo$37bob2o$36b2ob2o$37bo$35bobo$35b2o11$4bo$2b
5o14b2o$bo5bo13bo$bo2b3o12bobo$2obo15b2o$o2b4o$b2o3bo3b2o$3b3o4b2o$3bo
$2obo$2ob2o3$11b2o22b2o$12bo20bo2bo$9b3o3b2o14b5o$bo7bo6bo13bo$2bo7bob
obobobo12b3o$3o8b3obob2o15bo$15bo15b4o$13b3o10b2o3bo3b2o$12bo13b2o4b3o
2bo$12b2o20bob2o$34bo$33b2o3$25b2o$25bo$2b2o22b3o$bobo5b2o17bo$bo7b2o$
2o2$14bo$10b2obobo$9bobobobo$6bo2bobobob2o$6b4ob2o2bo$10bo4bobo$8bobo
5b2o$8b2o!
Technically an eater but not really what I had in mind...

apgoucher — 06/10/2024 6:26 AM
I think that the only other semi-notable result to come out of this so far is that the familiar fizzle attachment that can come from a 2c/3 signal or a traffic light can now come directly from a glider:

Code: Select all

x = 22, y = 35, rule = LifeHistory
.A$2BA$3AB$.4B$2.4B$3.4B$4.4B$5.4B7.2E$6.4B6.E.E$7.4B7.E$8.4B5.CE.2E$
9.5B.2B.E.2E$5.2E3.4B.BC.E$5.E.E3.3B3CBE$7.E5.CB4.2E$7.2E3.B3C2E.E$9.
B2.3B.E2.E$5.3EC.3B2C3.E$4.E3.C3BC2.3E$3.E2.2E.2B.2E.E$3.2E.E2.B2C2.E
$6.E.BC2B.E$6.E.E.2C.2E$5.2E.E.C.E3.2E$4.E3.E.C.E.2E.E$4.E.2E.BC.E2.E
$5.E.E.CBCBE.E$7.C.C.C.E.2E$6.C2BCB2E$5.E2B.E$3.3E.C.E.2E$2.E3.BCE2.E
$3.3E5.E$5.E.4E$6.E.E!
which is weak evidence that a direct G-to-2c/3 may exist somewhere deep in search space and be feasible to find with Silk.
Goldtiger997 — 06/12/2024 7:21 AM
I reckon a good candidate for a Silk search is to search for an elementary HWSS-to-X. I've been trying myself through the Colab. No luck so far, but I did find this exotic eater:

Code: Select all

x = 24, y = 29, rule = B3/S23
17b2o$17bo$18bo$3b2o12b2o$bo4bo$7bo$bo5bo$2b6o8b2o$15bo2bobob2o$15b2ob
ob2obo$18bo$15b2obo$16bob2o$5b2ob2o3b3o$6bob2o2bo$6bo5bob2o$3b2obo6bo
2bo$3bo2bob2o5b2o$2obobo2bo7bob2o$2obob2obo7bo2bo$3bo2bob3o4b2obo$3b2o
2bo3bo2bo3b2o$8b4o3b3o$6bobo9b2o$5bobo2b2o3b2obo$5bo2b2o2bobo2bo2bo$4b
2o3bob2ob2obob2o$9bo2bobo2bo$10b2o4b2o!
whatislife — 06/14/2024 9:25 PM
Feeding Silk pattens from the common active areas list: two-glider octomino making some different sparks.

Code: Select all

x = 93, y = 45, rule = LifeHistory
5$46.2A$46.A$40.2A5.A$39.A2.A.4A29.2A$14.2A22.A2.2A.A27.2A2.A.A$13.A.
A22.2A.A2.A.4A22.A3.A$14.A24.A2.3A.A3.A22.3A.4A$39.A9.2A24.A.A2.A$40.
6A25.3A.A.A$45.A24.A2.A.2A$7.2A6.A23.A.2A27.2A$7.A7.A.A5.A13.3A.A$8.A
6.2A5.A.A11.A4.A$5.3A3.3A8.A.A11.A.2A.2A29.2A6.A$5.A7.A7.2A2.2A10.A.A
8.A23.A7.A.A$12.A6.A3.A.A13.A8.A.A22.A6.2A$19.5A2.A12.2A7.2A20.3A3.3A
$17.2A5.A.A17.3A23.A7.A$18.A.5A.2A18.A30.A$16.A.A.A6.A17.A$15.A.A2.A.
4A$16.A3.A.A2.2A28.2A$17.3A3.A31.A.A$20.3A24.A.2A6.A$19.A25.3A.2A6.2A
22.2A$19.2A23.A36.A.A.2A$45.3A.2A28.A.A.2A.A$47.A.A29.2A$49.A$49.2A!
music man (400spartans) — 06/14/2024 11:39 PM
silk-discovered p15, doesn't seem to be in knownrotors

Code: Select all

x = 12, y = 15, rule = B3/S23
7bo$5b3o2bo$4bo3b3o$b2o2b3o$o2b2o4b2o$b2o2b5o$3b3o5bo$b2o3b6o$o2b3o$bo
5bo2b2o$2ob4obo2bo$bobo2bob2o$bo2bobobo$2o3b2o2bo$8b2o!
apgoucher — 06/27/2024 10:18 AM
This is infuriatingly close to a new glide-reflective signal type: it's only that the central yellow cell in the red circle dies of overpopulation instead of surviving that prevents this from working correctly (and clearly it's impossible to get it to work, as otherwise Silk would have found it):
almost-new-glide-reflective-signal.png
almost-new-glide-reflective-signal.png (93.13 KiB) Viewed 728 times
apgoucher — 06/27/2024 11:28 AM, answering "What if we used a bigger box?"
I'm using the full torus, and Silk's constraints apply to the active region rather than the stator -- there's a separate postprocessing step in which the stator is completed. So there's just no way to fix the stator here to get this connection to work. (If you're allowed to change the rotor, then there might be, but arguably that's a different connection.)
apgoucher — 06/27/2024 11:31 AM, answering"imagine if the real signal loop system we got was actually based on the eater 3 drifters and not the 2c/3 signal"
That wouldn't at all surprise me: there are lots of recurring motifs that have occurred across many of these searches (for glider eaters, single/double 2c/3 signal terminations, TL eaters, etc.) and it seems as though it's only a matter of time (and effort!) before some mechanism turns up that allows this to be extended indefinitely.
apgoucher — 06/27/2024 11:40 AM
For example -- that long 2c/3 fizzle and the digestive system converge on the same signal termination:

Code: Select all

x = 73, y = 62, rule = LifeHistory
17.E2.E$15.6E$11.2E.E$11.2E.E2.6E$14.E.E.A4.E$14.E.E.A2C3E$15.2E.E.B
5.E$18.E.B2C4E$18.E.E.B$17.2E.E.B2C4E$20.E.E.B4.E$20.E.E.B2C3E$21.2E.
E.B5.E$24.E.B2C4E$24.E.E.B$23.2E.E.B2C4E$26.E.E.B4.E$26.E.E.B2C3E$27.
2E.E.B5.E$30.E.B2C4E$30.E.E.B6.2E$29.2E.E.B2C2E2.E.E2.2E$32.E.E.B2.E.
E2.E2.E$32.E.E.B2C.E.E.2E$31.2E.E.E.B.E.E$34.E.E.2C.E.C2E3.2E$34.2E.E
.C.CBC2.E2.E2.E$37.E.C.C2BC2E4.2E$37.EBCBC2B3.4E2.2E$34.2E.E.C2B2C3E
4.E.E2.E$35.E.E.E4.B2.EB.2E3.2E$35.E.E2.4E2B2C2B2.E$36.2E6.C4B.CE.E$.
BA20.2E17.2E3.2BC2B.3E$ABAB13.2E5.E17.E5.C.C.E3.E$.2A2B12.E.E4.E.2E
16.E2.E2BE.E2.2E$2.4B13.E3.2E2.E15.5E.C2.2E$3.4B9.E2.2E.B2.E.E.E2.E
16.CBC2.3E3.E$4.4B8.3E2.2BCE.E2.4E12.4E2.3CB2.E.E.E$5.4B10.EBCB.C.E.E
4.2E10.E3.2E2.2BC2E.E.E$6.4B4.4E.C.2C3BC.C2BCE2.E10.E.E2.E3C2B2.E.2E
2.2E$7.4B3.E2.E.E5B2CBC.C.E.2E11.2E2.E.BC2BC2E.C2.E.E$8.4B5.B2C6B.2B
2C2B.E17.E.E.C3.C2B2E$9.4B5.2B7.2B.B.C3.E2.2E9.E.E.EB4C2B3.E2.2E$10.
4B3.2B4.E3.2BCE2C3E.E2.E9.2E2.E.B2.B3C2E.E2.E$11.3B.3BCE2.E.E3.BC2.B
2.C.2E15.E.3E2.B2.C.2E$11.3B2CBC.4E.E5.2E2BC2B18.E3.2E2BC2B$13.CBCBC
5.E4.E.E3.CBC2E2.2E14.E.E3.CBC2E$11.2BC.C2.4E4.3E2.2E2CBC2.E2.E13.2E
2.2E2CBC2.E.2E$7.2E2.B2C.2E.E2.2E2.E3.E.E2.4BCE.E16.E.E2.4BCE.E.E$7.E
2.C2.B.E2.E6.2E2.E2.E3C2B.C.2E15.E2.E3C2B.C.E.E$8.6E3.E12.2E2.2BC2BC
2.E16.2E2.2BC2BC2.E$14.3E15.C2BCE3.2E19.C2BCE3.2E$10.2E2.E15.2E2BC2.
3E19.2E2BC2.3E$10.2E17.E.4B2E2.E18.E.4B2E2.E$29.E.3B3.2E19.E.3B3.2E$
26.2E.2E2.B.2E18.2E.2E2.B.2E$26.E.E3.E3.E18.E.E3.E3.E$29.2E.4E22.2E.
4E$31.E28.E$31.E.E26.E.E$32.2E27.2E!
Ampere — 06/27/2024 12:24 PM
I haven't tried it out yet, but does Silk have the ability to do something sort of in reverse, like working backwards from a 2c/3d line, or finding things that connect to the start of one?
apgoucher — 06/27/2024 12:29 PM
No, it proceeds chronologically, advancing the active region and branching whenever necessary
apgoucher — 06/27/2024 1:50 PM
The search completed after 20 hours (on 3 RTX 4090 GPUs) with 4 719 952 899 709 nodes traversed, producing 160 fizzles (RLE enclosed).

Code: Select all

x = 53, y = 4675, rule = B3/S23
33bo3bo$34b3o2$32bo5bo$31bobo3bobo$31bobo3bobo$29b2obob2ob2o$30bobobob
o$30bobobobo$31b2ob2o6$33bo3bo$34b3o2$32bo5bo$31bobo3bobo$31bobo3bobo$
29b2obob2ob2o$30bobobobo$29bo2bobobob3o$29b2obobob2o2bo$32bobo4bo$32bo
bob3o$33b2obo6$33bo3bo$34b3o2$32bo5bo$31bobo3bobo$31bobo3bobo$29b2obob
2ob2o$28bo3bobobo$29b2obobobob3o$30bobobobobo2bo$30bobobo2bo2bobo$31bo
3bobob2o2bo$32b4obo4b2o$37bo$34b3o$34bo6$33bo3bo$34b3o$29b2o$29bo2bo5b
o$30b2obo3bobo$20b2o9bobo3bobo$21bo7bo2bob2ob2o$20bo8b2obobobo$19bob3o
3b2o3bobobo$19bobo2bobo3b2o2bob2ob2o$17b2o5bobob2obobobo4bo$16bo2b2o4b
obobo3bo2b4o$16b2obo7bobo3bo3bo$19bo4bo2bob3obobo$19bobobobobo4b2ob2o$
20b2obob2o2b2o3bo2bo$22bobo5bob2o2b2o$22bobo3bobobo$23b2ob4o4bo$25bo7b
2o$25bob2obo$26b2ob2o6$33bo3bo$34b3o2$32bo5bo$31bobo3bobo$31bobo3bobo$
32bob2ob2o$30bobobobo$28b3obobobo$27bo3bo2bobob2o$28bo2bobobobo2bo$29b
obobobobobobo$30bo2bobo2bobo$31b2obobobo$32bobobobo$32bobobobobo$31b2o
bobo2b2o$34bobo$34bo2b4o$35bobo2bo$36bo6$33bo3bo$27b2o5b3o$27bobo$29bo
2bo5bo$28b2obobo3bobo$31bobo3bobo$28b3obob2ob2o$23bo3bo2bobobobo$22bob
o3b2o2bobobo$21bo2b4o4bobobob2o$21bobo4b4o2bobob2o$19b2o2b2o2bo6bobo$
18bobobo4b2o2b3o2bo$18bo2bob2o5bo5b2o$19bobo3bo5b5o$20bobobobo5bo2bo$
22bobo2bo2bo$21b2o2bob5o$23bobo$23bo2b4o$24bobo2bo$25bo6$33bo3bo$34b3o
2$27b2o3bo5bo$27bobobobo3bobo$29bobobo3bobo$28bobobob2ob2o$28bo3bobobo
$25b2ob2o2bobobob3o$25bobo2bobobob2o2bo$28b3obobo4bo$31b2obob3o$28b2o
3bob2o$28bo4bo$29bo2b2o$28b2o6$33bo3bo$34b3o2$25b2o5bo5bo$25bo2bo2bobo
3bobo$27b5obo3bobo$32bob2ob2o$29bo2bobobo$22bo5bobobobobob3o$21bobo5bo
2bobob2o2bo$21bobo8bobo4bo$19b2o2bob2o4b2obob3o$20bobo2b2o3bo2bob2o$
19bo2b2o6b2obo$19b2o2bob2o4bobo$23bo2bo3bo2b2o$24b2o4b2o6$33bo3bo$34b
3o2$32bo5bo$31bobo3bobo$31bobo3bobo$32bob2ob2o$30bobobobo$28b3obobobo$
27bo3bo2bobob2o$28bo2bobobobo2bo$29bobobobobobobo$30bo2bobo2bobobo$31b
2obobobo3b3o$32bobobobo2bo3bo$32bobobobobob3o$31b2obobo2b2obo$34bobo4b
o$34bo2b3o$33b2o4b2o6$33bo3bo$34b3o2$32bo5bo$31bobo3bobo$31bobo3bobo$
29b2obob2ob2o$29bo2bobobo$30bobobobob3o$29b2obobo2bo3bo$28bo2bobobobo
2bo$27bobobobobobobo$28bobo2bobo2bo$30bobobob2o$30bobobobo$28bobobobo
2bo$28b2o2bobob2o$32bobo$28b4o2bo$28bo2bobo$32bo6$33bo3bo$34b3o2$32bo
5bo$31bobo3bobo$31bobo3bobo$29b2obob2ob2o$30bobobobo$30bobobobob3o$28b
2o2bobo2bo3bo$29bobobobobo2bo$27bobobobobobobo$26bobobo2bobo2bo$24b3o
3bobobob2o$23bo3bo2bobobobo$24b3obobobobobo$26bob2o2bobob2o$27bo4bobo$
29b3o2bo$28b2o4b2o6$33bo3bo$27b2o5b3o$27bobo$29bo2bo5bo$28b2obobo3bobo
$31bobo3bobo$28b3obob2ob2o$23bo3bo2bobobobo$22bobo3b2o2bobobo$21bo2b4o
4bobobob2o$21bobo4b4o2bobob2o$19b2o2b2o2bo6bobo$18bobobo4b2o2b3o2bo$
18bo2bob2o5bo3b2o$19bobo3bo5b2obo$20bobobobo5bo2bo$22bobo2bo2bo3b2o$
21b2o2bob5o$20bo2bobo$19bob3o2b4o$20bo3b2o3bo$21b3o2bo$23bobo$24bo6$
33bo3bo$34b3o2$32bo5bo$31bobo3bobo$31bobo3bob3o$29b2obob2ob2o3bo$28bo
3bobobo3bobo$28bo3bobobob2obo$27b2ob2o2bobo2bo$26bo2bobobobobobo$26b2o
3bobobobob2o$30bo2bob2o$29bo3bo$27b3obobob2o$26bo4b2o2bo$27b3o5bo$29bo
b4o$30bobo6$33bo3bo$34b3o2$32bo5bo$31bobo3bobo$31bobo3bobo$29b2obob2ob
2o$30bobobobo$29bo2bobobo$30b3obo2b2o$33bobobo$30b3o2bobo$28bo2bo3bob
2o$28b2o3bobo2bo$32b2ob2o6$33bo3bo$34b3o2$32bo5bo$31bobo3bobo$31bobo3b
obo$32bob2ob2o$30bobobobo$28b3obobobo$27bo3bo2bobobo$28bo2bobobobobo$
29bobobobobo2bo$30bo2bobo2b2o$31b2obobobo$32bobobobobo$30bobobobob2obo
$30b2o2bobo4bo$34bobob3o$35b2obo6$33bo3bo$34b3o2$32bo5bo$31bobo3bobo$
31bobo3bobo$29b2obob2ob2o$29bo2bobobo$30bobobobob3o$29b2obobo2bo3bo$
31bobobobo2bo$31bobobobobo$29b2o2bobo2bo$30bobobob2o$28bobobobobo$27bo
b2obobobobo$27bo4bobo2b2o$28b3obobo$30bob2o6$33bo3bo$34b3o2$32bo5bo$
31bobo3bobob2o$31bobo3bobobobo3b2o$29b2obob2ob2o2bo2bo2bo$29bo2bobobo
4bob2o3bo$30bobobobo3b2o3b3obo$31b2obo2b2o3bobo2bobo$33bobobob2obobo5b
2o$29b4o2bo3bobobo4b2o2bo$28bo2bo3bo3bobo7bob2o$28b2o3bobob3obo2bo4bo$
32b2ob2o4bobobobobo$31bo2bo3b2o2b2obob2o$31b2o2b2obo5bobo$36bobobo3bob
o$34bo4b4ob2o$34b2o7bo$39b3obo$39bo2bo$40b2o6$33bo3bo$34b3o2$28b2o2bo
5bo$28bo2bobo3bobo$29bobobo3bobo$30bobob2ob2o$32bobobo$32bobobo$30bobo
bobob2o$30b2o2bobob2o$34bobo$30b4o2bo$30bo2bobo$34bo6$33bo3bo$29b2o3b
3o$30bo$30bobo5bo$31bobo3bobo$29bobobo3bobo$28bobobob2ob2o$26b3o3bobob
o$25bo3bo2bobobo$26b3obobobobob2o$28bob2o2bobob2o$29bo4bobo$31b3o2bo$
30b2o4b2o6$33bo3bo$27b2o5b3o$27bobo$29bo2bo5bo$28b2obobo3bobo$31bobo3b
obo$28b3obob2ob2o$22b2o3bo2bobobobo$22bobo3b2o2bobobo$20b2o2b4o4bobobo
b2o$18bo2bobo4b4o2bobob2o$18b2o3b2o2bo6bobo$22bo4b2o2b3o2bo$21bob2o5bo
3b2o$19b3o3bo5b2o$18bo3bobobo5bob2o$18b2o2bobo2bo2bobo2bo$21b2o2bob4ob
2o$18b3o2bobo$17bo3b3o2b3o$17b3o4b2o2bo$20b4o2bo$17b2obo2bo2b2o$16bobo
bobo$16bo3b2o$17b3o$19bo6$33bo3bo$34b3o2$32bo5bo$31bobo3bobo$31bobo3bo
bo$29b2obob2ob2o$30bobobobo$30bobobobob3o$29b2obobo2bo3bo$26bobo2bobob
obo2bo$26b2obobobobobobo$29bobobo2bo2b2o$29bobo2bobobo$27b2obo2b2obobo
$26bobo5bobob2o$26bo2b5o2bo$27bobo3bob2o$26b2o2b2obobo3b2o$28bobobo2bo
bo2bo$28bobo4bob2o$27b2ob2o2b2obo$30bo3bo2bo$30bobobobo$31b2ob2o6$33bo
3bo$34b3o2$32bo5bo$31bobo3bobo$31bobo3bobo$32bob2ob2o$30bobobobo$29bob
2obobo$29bo4bob2o$30b2obobo2bobo$31bobo2b2ob2o$31bobo3bo$30b2obobobo$
34bobo$35bo6$33bo3bo$34b3o2$28b2o2bo5bo$28bo2bobo3bobo$30b2obo3bobo$
32bob2ob2o$32bobobo$29b2obobobo$29bobo2bob2o$31bobobo2bo$31bobobobo$
29bobobobob2o$29b2o2bobo$33bobo$29b4o2b2o$29bo2bobo$33b2o6$33bo3bo$34b
3o2$32bo5bo$31bobo3bobo$31bobo3bobo$29b2obob2ob2o$28bo3bobobo$29b2obob
obo$27bobobo2bobob2o$25b3o3bobobobobo$24bo3bo2bobobobo$25b3obobobobobo
$27bob2o2bobob2o$28bo4bobo$30b3o2bo$29b2o4b2o6$33bo3bo$34b3o2$32bo5bo$
31bobo3bobo$31bobo3bobo$29b2obob2ob2o$29bo2bobobo$30bobobobob3obo$29b
2obobo2bobob2o$31bobobobo$31bobobobo$30b2obobobobo$33bobo2b2o$33bobo$
32b2o2b4o$34bobo2bo$34b2o6$33bo3bo$34b3o2$32bo5bo$31bobo3bobo$31bobo3b
obo$27bob2obob2ob2ob2o$27b2obobobobo3bobo$32bobobob2o2bo$32bobo2bobobo
$30b2obobobo3b2o$31bobobobo2bo$30bo2bobobobob2o$30b2obobo2b2obo2bo$33b
obo4bo2b2o$33bo2b3o$32b2o4b2o6$33bo3bo$34b3o2$32bo5bo$31bobo3bobo$31bo
bo3bobo$29b2obob2ob2o$30bobobobo$30bobobobo$29b2obobo2b2o$31bobobobo$
31bobobobobo$30b2obobob2obo$33bobo4bo$33bobob3o$34b2obo6$33bo3bo$34b3o
2$32bo5bo$31bobo3bobo$31bobo3bobo$32bob2ob2ob2obo$30bobobobo3bob2o$28b
3obobobo3bo$27bo4bobo2b2obo$27bobobobobobobo$28b2obobobobo$32b2obo2bo$
35bo3bo$32b2obobob3o$33bo2b2o4bo$33bo5b3o$34b4obo$36bobo6$33bo3bo$34b
3o2$32bo5bo$31bobo3bobo$31bobo3bobo$29b2obob2ob2o$30bobobobo$29bo2bobo
bo$30b2o2bob2o$31bobobo2bo$29bobobobobo$28bob2obobob2o$28bo4bobo$29b3o
bobo$31bob2o6$33bo3bo$34b3o2$32bo5bo$28b2obobo3bobo$28bob2obo3bobo$32b
ob2ob2o$29b2obobobo$28bobobobobob3o$28bo3bobobobo2bo$25b2ob2o2bobobo3b
2o$25bobo2bobobobo$28b2ob2obob2o$29bo4bobo$29bob2obobobo$30bo2b2ob2obo
$31bo7bo$28b3o8b2o$28bo6$33bo3bo$34b3o2$32bo5bo$28b2obobo3bobo$28bob2o
bo3bobo$32bob2ob2o$29b2obobobo$28bobobobobo$28bo3bobobob2obo$25b2ob2o
2bobobobob2o$25bobo2bobobobo$28b2ob2obob2o$29bo4bobo$29bob2obobobo$28b
2o2bob2obobo$30bo6bobo$30b2o5b2o6$33bo3bo$29b2o3b3o$30bo$30bobo5bo$28b
2obobo3bobo$27bo3bobo3bobo$25bo2b3obob2ob2o$25b3o2bobobobo$28b2o2bobob
o$27bo4bobobob2o$27bob3o2bobob2o$28bo5bobo$29b5o2bo$31bo4b2o6$33bo3bo$
29b2o3b3o$30bo$28bobobo5bo$28b2obobo3bobo$31bobo3bobo$28b3obob2ob2o$
27bo2bobobobo$26bob2o2bobobo$27bo4bobobob2o$28b4o2bobob2o$34bobo$28b6o
2bo$28bo2bo4b2o6$33bo3bo$29b2o3b3o$30bo$28bobobo5bo$28b2obobo3bobo$31b
obo3bobo$28b3obob2ob2o$27bo2bobobobo$27b3o2bobobo$32bobobob2o$27b5o2bo
bob2o$26bo7bobo$26b2o2b4o2bo$31bo4b2o$29bo$29b2o6$33bo3bo$27b2o5b3o$
27bobo$29bo2bo5bo$28b2obobo3bobo$31bobo3bobo$28b3obob2ob2o$27bo2bobobo
bo$27b3o2bobobo$32bobobob2o$27b5o2bobob2o$26bo7bobo$25bobo2b4o2bo$26bo
2bobo4b2o$27b3o$30b4o$29bo3bo$29b2o6$33bo3bo$29b2o3b3o$30bo$28bobobo5b
o$28b2obobo3bobo$31bobo3bobo$28b3obob2ob2o$22b2o3bo2bobobobo$22bobo3b
2o2bobobo$20b2o2b4o4bobobob2o$21bobo4b4o2bobob2o$20bo2b2o2bo6bobo$13b
2o5bobo4b2o2b3o2bo$12bo2bo2b2obob2o5bo2bobo$12bobo2bobobo3bo5b2o2b2o$
11b2ob4o2bobobobo5bobo$18b2o2bobo2bo4bobo$11b6o3b3o2bob3o3bo$11bo5b3o
3bobo4bo$12b5o3b4o2b4o$17b3o4b2o$14b3o4b2obo2bo$13bo2bob3o2bo2b2o$13b
2o2bo3bo$18bo2b2o$17b2o6$33bo3bo$29b2o3b3o$30bo$28bobobo5bo$28b2obobo
3bobo$31bobo3bobo$28b3obob2ob2o$23bo3bo2bobobobo$22bobo3b2o2bobobo$21b
o2b4o4bobobob2o$21bobo4b4o2bobob2o$19b2o2b2o2bo6bobo$18bobobo4b2o2b3o
2bo$10b2ob2o2bo3bob2o5bo2bobo$11bobo4b2obo3bo5b2o2b2o$11bo2b4o2bobobob
o5bobo$10b2o6b2o2bobo2bo4bobo$9bo2b5o3b3o2bob3o3bo$10bo6b3o3bobo4bo$
11b6o3b4o2b4o$17b3o4b2o$13b4o4b2obo2bo$13bo2bob3o2bo2b2o$17bo3bo$18bo
2b2o$17b2o6$33bo3bo$27b2o5b3o$27bobo$29bo2bo5bo$28b2obobo3bobo$31bobo
3bobo$24bo3b3obob2ob2o$22b3o2bo2bobobobo$15bo5bo6b2o2bobobo$14bobo4bo
2b4o4bobobob2o$14bobo3b2obo4b4o2bobob2o$13b2ob2o2bo2b2o2bo6bobo$12bo2b
o2bobobo4b2o2b3o2bo$10bo2b2o2b2o2bob2o5bo2bobo$10b2obo5bobo3bo5b2o2b2o
$11bo2b4o2bobobobo5bobo$11bo6b2o2bobo2bo4bobo$12b5o3b3o2bob3o3bo$17b3o
3bobo4bo$10b7o3b4o2b4o$10bo6b3o4b2o$13bob2o4b2obo2bo$13b2obob3o2bo2b2o
$17bo4bo$19b3o$18b2o6$33bo3bo$21b2o6b2o3b3o$22bo7bo$20bo9bobo5bo$20b2o
6b2obobo3bobo$23b2o2bo3bobo3bobo$20b3obo2b4obob2ob2o$19bo10bobobobo$
19b2o6b3o2bobobo$21bo5bo4bobobob2o$19b2obo5b4o2bobob2o$20bobo2bo8bobo$
20bob4o4b4o2bo$21bo9bo4b2o$22b4o3bo$24bo4b2o$26bo$25b2o6$33bo3bo$34b3o
2$32bo5bo$28b2obobo3bobo$28bob2obo3bobo$32bob2ob2o$29b2obobobo$28bobob
obobo$28bo3bobobob2o$25b2ob2o2bobobobo$25bobo2bobobobo2bo$28b2ob2obobo
b2o$29bo4bobo$29bob2obobo$28b2o2bob2o$30bo$30b2o6$33bo3bo$28bo5b3o$27b
obo$27bobo2bo5bo$28b2obobo3bobo$31bobo3bobo$28b3obob2ob2o$22b2o3bo2bob
obobo$22bobo3b2o2bobobo$20b2o2b4o4bobobob2o$21bobo4b4o2bobob2o$20bo2b
2o2bo6bobo$20bobo4b2o2b3o2bo$21bob2o5bo3b2o$19bobo3bo5b2o$18bobobobobo
5bob2o$18bo3bobo2bo2bobo2bo$14bob2ob4o2bob4ob2o$14b2obobo3bobo$17bo3b
3o2b3o$17b4o3b2o2bo$21b3o2bo$17b2obo2bo2b2o$17b2obobo$21bo6$33bo3bo$
27b2o5b3o$27bobo$29bo2bo5bo$28b2obobo3bobo$31bobo3bobo$28b3obob2ob2o$
22b2o3bo2bobobobo$22bobo3b2o2bobobo$20b2o2b4o4bobobob2o$21bobo4b4o2bob
ob2o$20bo2b2o2bo6bobo$20bobo4b2o2b3o2bo$18b2obob2o5bo5b2o$17bo3bo3bo5b
5o$17b4obobobo5bo2bo$20bobobo2bo2bo$17b2o2b2o2bob5o$17bo5bobo$18b6o2b
4o$24b2o3bo$18b6o2bo$18bo2bo3b2o6$33bo3bo$28bo5b3o$27bobo$27bobo2bo5bo
$28b2obobo3bobo$31bobo3bobo$28b3obob2ob2o$22b2o3bo2bobobobo$22bobo3b2o
2bobobo$20b2o2b4o4bobobob2o$12b2o7bobo4b4o2bobob2o$13bo6bo2b2o2bo6bobo
$12bo7bobo4b2o2b3o2bo$12b2o7bob2o5bo5b2o$15b2o2bobo3bo5b5o$12b3obo2b2o
bobobo5bo2bo$11bo10bobo2bo2bo$11b2o6b4o2bob5o$13bo5bo3bobo$11b2obo5b4o
2b4o$12bobo2bo6b2o3bo$12bob4o4b2o2bo$13bo9bob2o$14b4o5bo$16bo5b2o$18bo
$17b2o6$33bo3bo$27b2o5b3o$27bobo$29bo2bo5bo$28b2obobo3bobo$31bobo3bobo
$28b3obob2ob2o$22b2o3bo2bobobobo$22bobo3b2o2bobobo$20b2o2b4o4bobobob2o
$21bobo4b4o2bobob2o$20bo2b2o2bo6bobo$14b2o4bobo4b2o2b3o2bo$14bo6bob2o
5bo3b2o$15bo3bobo3bo5b2o$14b2o3b2obobobo5bob2o$22bobo2bo2bobo2bo$7b2o
10b4o2bob4ob2o$7bo2bob2o5bo3bobo$8b3obobo5b4o2b3o$12bobo2bo6b2o2bo$10b
3ob4o4b2o2b2o$9bo3bo9bobo$9b2o2bob3o5bobo$14bobo7bo$18bo$17b2o6$33bo3b
o$28bo5b3o$27bobo$27bobo2bo5bo$28b2obobo3bobo$31bobo3bobo$28b3obob2ob
2o$22b2o3bo2bobobobo$22bobo3b2o2bobobo$20b2o2b4o4bobobob2o$21bobo4b4o
2bobob2o$20bo2b2o2bo6bobo$13b2o5bobo4b2o2b3o2bo$13bo7bob2o5bo3b2o$15bo
3bobo3bo5b2o$14b2o3b2obobobo5bob2o$22bobo2bo2bobo2bo$7b2o10b4o2bob4ob
2o$4bo2bo2bob2o5bo3bobo$3bobobob2obobo5b4o2b3o$4bo2bo4bobo2bo6b2o2bo$
7bob4ob4o4b2o2b2o$8bo4bo9bobo$10bo2bob3o5bobo$9b2o3bobo7bo$18bo$17b2o
6$33bo3bo$29b2o3b3o$30bo$28bobobo5bo$28b2obobo3bobo$31bobo3bobo$28b3ob
ob2ob2o$22b2o3bo2bobobobo$7b2o13bobo3b2o2bobobo$8bo11b2o2b4o4bobobob2o
$6bo14bobo4b4o2bobob2o$6b5o9bo2b2o2bo6bobo$10bo3b2o4bobo4b2o2b3o2bo$6b
2o6bo6bob2o5bo5b2o$5bobo7bo3bobo3bo5b5o$5bo8b2o3b2obobobo5bo2bo$4b2o
16bobo2bo2bo$5bob2o10b4o2bob5o$5bobo2bob2o5bo3bobo$4b2obob2obobo5b4o2b
4o$7bo4bobo2bo6b2o3bo$7bob4ob4o4b2o2bo$8bo4bo9bob2o$10bo2bob3o5bo$9b2o
3bobo5b2o$18bo$17b2o6$18b2o13bo3bo$17bo2bobo6b2o3b3o$17bob2ob3o5bo$15b
3o2bo4bo4bobo5bo$14bo3bobob3o3b2obobo3bobo$14bobobobobo4bo3bobo3bobo$
15b3o3bo5b4obob2ob2o$30bobobobo$15b3o9b3o2bobobo$14bobobob2o5bo4bobobo
b2o$14bo3bobobo5b4o2bobob2o$15b3o2bobo2bo8bobo$18b3ob4o4b4o2bo$17bo3bo
9bo4b2o$17b2o2bob3o3bo$22bobo4b2o$26bo$25b2o6$33bo3bo$28bo5b3o$27bobo$
27bobo2bo5bo$28b2obobo3bobo$31bobo3bobo$28b3obob2ob2o$22b2o3bo2bobobob
o$22bobo3b2o2bobobo$20b2o2b4o4bobobob2o$21bobo4b4o2bobob2o$20bo2b2o2bo
6bobo$20bobo4b2o2b3o2bo$21bob2o5bo3b2o$19bobo3bo5b2o$17b4obobobo5bob2o
$16bo5bobo2bo2bobo2bo$14bo2bob4o2bob4ob2o$14b2obobo3bobo$17bo3b3o2b3o$
17b4o3b2o2bo$21b3o2bo$17b2obo2bo2b2o$17b2obobo$21bo6$33bo3bo$27b2o5b3o
$27bobo$29bo2bo5bo$28b2obobo3bobo$31bobo3bobo$28b3obob2ob2o$23bo3bo2bo
bobobo$22bobo3b2o2bobobo$21bo2b4o4bobobob2o$21bobo4b4o2bobob2o$19b2o2b
2o2bo6bobo$18bobobo4b2o2b3o2bo$18bo2bob2o5bo3b2o$19bobo3bo5b2obo$16bo
3bobobobo5bo2bo$16b4o2bobo2bo2bo3b2o$20b3o2bob5o$14b6o3bobo$13bo6b4o2b
4o$12bo2b5o4b2o3bo$13b2o6b3o2bo$14bo2b4o4b2o$14bobo4bo$13b2ob2o2b2o6$
33bo3bo$29b2o3b3o$30bo$28bobobo5bo$28b2obobo3bobo$31bobo3bobo$28b3obob
2ob2o$23bo3bo2bobobobo$22bobo3b2o2bobobo$21bo2b4o4bobobob2o$21bobo4b4o
2bobob2o$19b2o2b2o2bo6bobo$18bobobo4b2o2b3o2bo$18bo2bob2o5bo5b2o$19bob
o3bo5b5o$16bo3bobobobo5bo2bo$16b4o2bobo2bo2bo$13bo6b3o2bob5o$13b7o3bob
o$20b4o2b4o$15b5o4b2o3bo$14bo6b3o2bo$14bo2b4o4b2o$13b2obo4bo$13bo2b2o
2bobo$15bo2bo2bo$16b2ob2o$17bobo$17bobo$18bo6$33bo3bo$28bo5b3o$27bobo$
27bobo2bo5bo$28b2obobo3bobo$31bobo3bobo$28b3obob2ob2o$22b2o3bo2bobobob
o$22bobo3b2o2bobobo$20b2o2b4o4bobobob2o$21bobo4b4o2bobob2o$20bo2b2o2bo
6bobo$20bobo4b2o2b3o2bo$21bob2o5bo3b2o$17bobobo3bo5b2obo$13b2obob3obob
obo5bo2bo$14bobo5bobo2bo2bo3b2o$13bo3bob4o2bob5o$14b2obobo3bobo$15bobo
3b3o2b4o$15bob4o3b2o3bo$12b2obo5b3o2bo$12bo2b6o3bobo$13b2o5bo2bobo$15b
4o5bo$15bo3b5o$16b2o$18b4o$18bo2bo6$33bo3bo$29b2o3b3o$30bo$22b2o6bobo
5bo$22bo5b2obobo3bobo$23bo3bo3bobo3bobo$22b2o3b4obob2ob2o$30bobobobo$
15b2o10b3o2bobobo$15bo2bob2o5bo4bobobob2o$16b3obobo5b4o2bobob2o$20bobo
2bo8bobo$18b3ob4o4b4o2bo$17bo3bo9bo4b2o$17b2o2bob3o3bo$22bobo4b2o$26bo
$25b2o6$33bo3bo$29b2o3b3o$30bo$21b2o7bobo5bo$21bo6b2obobo3bobo$23bo3bo
3bobo3bobo$22b2o3b4obob2ob2o$30bobobobo$15b2o10b3o2bobobo$12bo2bo2bob
2o5bo4bobobob2o$11bobobob2obobo5b4o2bobob2o$12bo2bo4bobo2bo8bobo$15bob
4ob4o4b4o2bo$16bo4bo9bo4b2o$18bo2bob3o3bo$17b2o3bobo4b2o$26bo$25b2o6$
15b2o$16bo16bo3bo$14bo14b2o3b3o$14b5o11bo$18bo3b2o6bobo5bo$14b2o6bo5b
2obobo3bobo$13bobo7bo3bo3bobo3bobo$13bo8b2o3b4obob2ob2o$12b2o16bobobob
o$13bob2o10b3o2bobobo$12bo2bo2bob2o5bo4bobobob2o$12b2obob2obobo5b4o2bo
bob2o$15bo4bobo2bo8bobo$15bob4ob4o4b4o2bo$16bo4bo9bo4b2o$18bo2bob3o3bo
$17b2o3bobo4b2o$26bo$25b2o6$17b2o14bo3bo$17bo2bo8b2o3b3o$12bob2obob2o
9bo$12b2obobo12bobo5bo$17bob2o7b2obobo3bobo$16bo2b2o6bo3bobo3bobo$16b
2o9b4obob2ob2o$30bobobobo$27b3o2bobobo$13b2o2b2ob2o5bo4bobobob2o$13bo
2bobobobo5b4o2bobob2o$15b2o3bobo2bo8bobo$18bobob4o4b4o2bo$15b2ob2obo9b
o4b2o$14bobo4bob3o3bo$14bobo4b2obo4b2o$15bo10bo$25b2o6$33bo3bo$29b2o3b
3o$30bo$28bobobo5bo$28b2obobo3bobo$31bobo3bobo$28b3obob2ob2o$22b2o3bo
2bobobobo$22bobo3b2o2bobobo$20b2o2b4o4bobobob2o$21bobo4b4o2bobob2o$20b
o2b2o2bo6bobo$20bobo4b2o2b3o2bo$18b2obob2o5bo3b2o$17bo3bo3bo5b2o$16bob
3obobobo5bob2o$15bobo4bobo2bo2bobo2bo$12bo2bobob4o2bob4ob2o$12b3o2bobo
3bobo$15b2o4b3o2b3o$14bo2b4o3b2o2bo$15bo5b3o2bo$16b3obo2bo2b2o$18bobob
o$21bo6$33bo3bo$29b2o3b3o$30bo$28bobobo5bo$28b2obobo3bobo$31bobo3bobo$
28b3obob2ob2o$22b2o3bo2bobobobo$22bobo3b2o2bobobo$20b2o2b4o4bobobob2o$
21bobo4b4o2bobob2o$20bo2b2o2bo6bobo$20bobo4b2o2b3o2bo$18b2obob2o5bo3b
2o$17bo3bo3bo5b2o$16bob3obobobo5bob2o$15bobo4bobo2bo2bobo2bo$15bobob4o
2bob4ob2o$13b2o2bobo3bobo$12bo2b2o4b3o2b3o$13bo3b4o3b2o2bo$14b2o5b3o2b
o$15bob2obo2bo2b2o$15bo2bobobo$16b2o3bo6$33bo3bo$27b2o5b3o$27bobo$29bo
2bo5bo$28b2obobo3bobo$31bobo3bobo$28b3obob2ob2o$18b2o2b2o3bo2bobobobo$
18bo3bobo3b2o2bobobo$19b3o2b4o4bobobob2o$21bobo4b4o2bobob2o$23b2o2bo6b
obo$18bo3bo4b2o2b3o2bo$16b3o2bob2o5bo3b2o$15bo5bo3bo5b2o$15bob4obobobo
5bob2o$14b2obo4bobo2bo2bobo2bo$11bobo3bob4o2bob4ob2o$11b2ob2obobo3bobo
$14bobo4b3o2b3o$14bo2b4o3b2o2bo$13b2o6b3o2bo$15b4obo2bo2b2o$15bo2bobob
o$21bo6$33bo3bo$29b2o3b3o$30bo$28bobobo5bo$28b2obobo3bobo$31bobo3bobo$
28b3obob2ob2o$7bo14b2o3bo2bobobobo$5b3o14bobo3b2o2bobobo$4bo5bo9b2o2b
4o4bobobob2o$5bob4o10bobo4b4o2bobob2o$4b2obo12bo2b2o2bo6bobo$4bo2bob4o
7bobo4b2o2b3o2bo$5b3obo2b3o6bob2o5bo5b2o$2b3o10bo3bobo3bo5b5o$bo3bo8b
2o3b2obobobo5bo2bo$2bo2bo16bobo2bo2bo$3bobob2o10b4o2bob5o$4b2obo2bob2o
5bo3bobo$7bob2obobo5b4o2b4o$7bo4bobo2bo6b2o3bo$6b2ob4ob4o4b2o2bo$8bo4b
o9bob2o$8bobo2bob3o5bo$9b2o3bobo5b2o$18bo$17b2o6$33bo3bo$27b2o5b3o$27b
obo$29bo2bo5bo$28b2obobo3bobo$31bobo3bobo$28b3obob2ob2o$22b2o3bo2bobob
obo$22bobo3b2o2bobobo$20b2o2b4o4bobobob2o$21bobo4b4o2bobob2o$20bo2b2o
2bo6bobo$20bobo4b2o2b3o2bo$18b2obob2o5bo3b2o$19bobo3bo5b2obo$17bo2bobo
bobo5bo2bo$17b3o2bobo2bo2bo3b2o$20b3o2bob5o$15b5o3bobo$14bo5b4o2b4o$
14b6o4b2o3bo$21b3o2bo$14b2ob4o2bobo$15bobo2bo3bo$15bo2bo$16b2o6$33bo3b
o$28bo5b3o$27bobo$27bobo2bo5bo$28b2obobo3bobo$31bobo3bobo$28b3obob2ob
2o$22b2o3bo2bobobobo$22bobo3b2o2bobobo$20b2o2b4o4bobobob2o$18bo2bobo4b
4o2bobob2o$18b2o3b2o2bo6bobo$22bo4b2o2b3o2bo$21bob2o5bo3b2o$21bo3bo5b
2o$19b2obobobo5bob2o$18bo3bobo2bo2bobo2bo$14b2obob4o2bob4ob2o$14b2obo
5bobo$17bob5o2b3o$17b2o5b2o2bo$20b4o2bo$17b3o3bo2b2o$17bo2b3o$20bo6$
15bo$13b3o$12bo5bo14bo3bo$13bob4o10b2o3b3o$12b2obo14bo$12bo2bob4o9bobo
5bo$13b3obo2b3o5b2obobo3bobo$10b3o10bo3bo3bobo3bobo$9bo3bo8b2o3b4obob
2ob2o$10bo2bo16bobobobo$11bobob2o10b3o2bobobo$12b2obo2bob2o5bo4bobobob
2o$15bob2obobo5b4o2bobob2o$15bo4bobo2bo8bobo$14b2ob4ob4o4b4o2bo$16bo4b
o9bo4b2o$16bobo2bob3o3bo$17b2o3bobo4b2o$26bo$25b2o6$33bo3bo$29b2o3b3o$
30bo$28bobobo5bo$28b2obobo3bobo$31bobo3bobo$28b3obob2ob2o$22b2o3bo2bob
obobo$22bobo3b2o2bobobo$20b2o2b4o4bobobob2o$21bobo4b4o2bobob2o$20bo2b
2o2bo6bobo$20bobo4b2o2b3o2bo$21bob2o5bo5b2o$19bobo3bo5b5o$9b2o3bobo2b
2obobobo5bo2bo$10bo2bob2o5bobo2bo2bo$8bo4bo3b6o2bob5o$7bob4ob3o6bobo$
4bo2bo4bobo2b7o2b4o$3bobobob2obobo2bo6b2o3bo$4bo2bo2bob2o6b4o2bo$7b2o
10bo4bobo$15b2o2b5obo$14bob3o4bo$13bo5b3obo$12bo5bo3bo$11bob3o2bobo$
11bo2bobobob2o$12bo3b2o$13b3o$15bo6$33bo3bo$29b2o3b3o$30bo$28bobobo5bo
$28b2obobo3bobo$26b2o3bobo3bobo$25bo2b3obob2ob2o$26b2o2bobobobo$28b2o
2bobobo$24b4o4bobobob2o$19b2o3bo3b4o2bobob2o$19bobo5bo6bobo$21bo5b2o2b
3o2bo$21b2o7bo3b2o$24b2o5b2o$21b3o2bo5bob2o$20bo4bobo4bo2bo$20bob2obob
3o3b2o$17b2obobo2bo4bo$17b2obo2bobob3o$20bo3b2obo$20b2o6$33bo3bo$29b2o
3b3o$30bo$28bobobo5bo$28b2obobo3bobo$31bobo3bobo$28b3obob2ob2o$22b2o3b
o2bobobobo$22bobo3b2o2bobobo$20b2o2b4o4bobobob2o$21bobo4b4o2bobob2o$
20bo2b2o2bo6bobo$20bobo4b2o2b3o2bo$21bob2o5bo5b2o$19bobo3bo5b5o$14bobo
2b2obobobo5bo2bo$9b2o2bob2o5bobo2bo2bo$9bo3bo3b6o2bob5o$10b3ob3o6bobo$
12bobo2b7o2b4o$8b3obobo2bo6b2o3bo$7bo2bob2o6b4o2bo$7b2o10bo4bobo$15b2o
2b5obo$14bob3o4bo$13bo5b3obo$12bo5bo3bo$11bob3o2bobo$11bo2bobobob2o$
12bo3b2o$13b3o$15bo6$33bo3bo$28bo5b3o$27bobo$27bobo2bo5bo$28b2obobo3bo
bo$31bobo3bobo$28b3obob2ob2o$22b2o3bo2bobobobo$22bobo3b2o2bobobo$20b2o
2b4o4bobobob2o$21bobo4b4o2bobob2o$20bo2b2o2bo6bobo$20bobo4b2o2b3o2bo$
21bob2o5bo3b2o$19bobo3bo5b2o$14bobo2b2obobobo5bob2o$9b2o2bob2o5bobo2bo
2bobo2bo$9bo3bo3b6o2bob4ob2o$10b3ob3o6bobo$12bobo2b7o2b3o$8b3obobo2bo
6b2o2bo$7bo2bob2o6b4o2bo$7b2o10bo4b2o$15b2o2b5o$14bob3o4bo$13bo5b4o$
12bo5bo$11bob3o2bob2obo$11bo2bobobobob2o$12bo3b2o$13b3o$15bo6$33bo3bo$
27b2o5b3o$27bobo$29bo2bo5bo$28b2obobo3bobo$31bobo3bobo$28b3obob2ob2o$
22b2o3bo2bobobobo$22bobo3b2o2bobobo$20b2o2b4o4bobobob2o$21bobo4b4o2bob
ob2o$20bo2b2o2bo6bobo$20bobo4b2o2b3o2bo$21bob2o5bo3b2o$19bobo3bo5b2o$
9b2o3bobo2b2obobobo5bob2o$10bo2bob2o5bobo2bo2bobo2bo$8bo4bo3b6o2bob4ob
2o$7bob4ob3o6bobo$4bo2bo4bobo2b7o2b3o$3bobobob2obobo2bo6b2o2bo$4bo2bo
2bob2o6b4o2bo$7b2o10bo4b2o$15b2o2b5o$14bob3o4bo$13bo5b4o$12bo5bo$11bob
3o2bob2obo$11bo2bobobobob2o$12bo3b2o$13b3o$15bo6$33bo3bo$28bo5b3o$27bo
bo$27bobo2bo5bo$28b2obobo3bobo$31bobo3bobo$28b3obob2ob2o$22b2o3bo2bobo
bobo$22bobo3b2o2bobobo$20b2o2b4o4bobobob2o$21bobo4b4o2bobob2o$20bo2b2o
2bo6bobo$20bobo4b2o2b3o2bo$21bob2o5bo5b2o$19bobo3bo5b5o$9b2o3bobo2b2ob
obobo5bo2bo$10bo2bob2o5bobo2bo2bo$8bo4bo3b6o2bob5o$7bob4ob3o6bobo$4bo
2bo4bobo2b7o2b4o$3bobobob2obobo2bo6b2o3bo$4bo2bo2bob2o6b4o2bo$7b2o10bo
4bobo$15b2o2b5obo$14bob3o4bo$13bo5b3obo$12bo5bo3bo$12b2o2bo2b3o$16b3o$
19bo$18b2o6$33bo3bo$28bo5b3o$27bobo$27bobo2bo5bo$28b2obobo3bobo$31bobo
3bobo$28b3obob2ob2o$22b2o3bo2bobobobo$22bobo3b2o2bobobo$20b2o2b4o4bobo
bob2o$18bo2bobo4b4o2bobob2o$18b2o3b2o2bo6bobo$22bo4b2o2b3o2bo$21bob2o
5bo3b2o$19b3o3bo5b2o$18bo3bobobo5bob2o$18b2o2bobo2bo2bobo2bo$21b2o2bob
4ob2o$14bo3b3o2bobo$13bobobo3b3o2b3o$13bobob3o4b2o2bo$12b2obo4b4o2bo$
10bo2bob3o2bo2bo2b2o$10b2o2bo3bobobo$15b4obobobo$10b5o5bo2b2o$10bo5b3o
bo$12b4o3bo$11b2o2bo2bo$18b2o6$33bo3bo$29b2o3b3o$30bo$28bobobo5bo$28b
2obobo3bobo$31bobo3bobo$28b3obob2ob2o$22b2o3bo2bobobobo$22bobo3b2o2bob
obo$20b2o2b4o4bobobob2o$21bobo4b4o2bobob2o$20bo2b2o2bo6bobo$20bobo4b2o
2b3o2bo$21bob2o5bo5b2o$19bobo3bo5b5o$14bobo2b2obobobo5bo2bo$9b2o2bob2o
5bobo2bo2bo$9bo3bo3b6o2bob5o$10b3ob3o6bobo$12bobo2b7o2b4o$8b3obobo2bo
6b2o3bo$7bo2bob2o6b4o2bo$7b2o10bo4bobo$15b2o2b5obo$14bob3o4bo$13bo5b3o
bo$12bo5bo3bo$12b2o2bo2b3o$16b3o$19bo$18b2o6$33bo3bo$29b2o3b3o$30bo$
28bobobo5bo$28b2obobo3bobo$31bobo3bobo$28b3obob2ob2o$22b2o3bo2bobobobo
$22bobo3b2o2bobobo$20b2o2b4o4bobobob2o$18bo2bobo4b4o2bobob2o$18b2o3b2o
2bo6bobo$22bo4b2o2b3o2bo$21bob2o5bo3b2o$19b3o3bo5b2o$18bo3bobobo5bob2o
$18b2o2bobo2bo2bobo2bo$21b2o2bob4ob2o$14bo3b3o2bobo$13bobobo3b3o2b3o$
13bobob3o4b2o2bo$8b2o2b2obo4b4o2b2o$8bobo2bob3o2bo2bobo$10b2o2bo3bobob
o2bo$5b2o2bo5b4obobobo$5bo2bob5o5bo2bo$7b2obo5b3obo$11bo2b2o3bo$3b2o2b
3obo3bobo$3bo2bo2bob4o2b2o$4bob2o6bobo$3b2obo3b4o2bo$3bo2bo2bo4b2o$4b
2o3b2o2bo$6b3o2bo2b2o$6bo2b2o5bo$7b2o7bo$9b2o4b2ob2o$9bo3bo3bobo$10b4o
b2o$14bo$12bobo$12b2o6$33bo3bo$29b2o3b3o$30bo$28bobobo5bo$28b2obobo3bo
bo$31bobo3bobo$28b3obob2ob2o$22b2o3bo2bobobobo$22bobo3b2o2bobobo$20b2o
2b4o4bobobob2o$21bobo4b4o2bobob2o$20bo2b2o2bo6bobo$20bobo4b2o2b3o2bo$
21bob2o5bo5b2o$19bobo3bo5b5o$14bobo2b2obobobo5bo2bo$9b2o2bob2o5bobo2bo
2bo$9bo3bo3b6o2bob5o$10b3ob3o6bobo$12bobo2b7o2b4o$8b3obobo2bo6b2o3bo$
7bo2bob2o6b4o2bo$7b2o10bo4b2o$15b2o2b5o$14bob3o4bo$13bo5b4o$12bo5bo$
12b2o2bo2b4o$16b3o3bo$19bo$18b2o6$33bo3bo$29b2o3b3o$30bo$28bobobo5bo$
28b2obobo3bobo$31bobo3bobo$28b3obob2ob2o$22b2o3bo2bobobobo$22bobo3b2o
2bobobo$20b2o2b4o4bobobob2o$21bobo4b4o2bobob2o$20bo2b2o2bo6bobo$20bobo
4b2o2b3o2bo$21bob2o5bo5b2o$19bobo3bo5b5o$9b2o3bobo2b2obobobo5bo2bo$10b
o2bob2o5bobo2bo2bo$8bo4bo3b6o2bob5o$7bob4ob3o6bobo$4bo2bo4bobo2b7o2b4o
$3bobobob2obobo2bo6b2o3bo$4bo2bo2bob2o6b4o2bo$7b2o10bo4b2o$15b2o2b5o$
14bob3o4bo$13bo5b4o$12bo5bo$12b2o2bo2b4o$16b3o3bo$19bo$18b2o6$33bo3bo$
27b2o5b3o$27bobo$29bo2bo5bo$28b2obobo3bobo$31bobo3bobo$24bo3b3obob2ob
2o$20bob3o2bo2bobobobo$20b2o6b2o2bobobo$23b5o4bobobob2o$20b3obo3b4o2bo
bob2o$19bo7bo6bobo$19b2o6b2o2b3o2bo$21bo8bo3b2o$19b2obob2o5b2obo$18bob
obobobo5bobo$18bo2bo2bobo5bob2o$19bobob2ob2o3b2o$20b2o2bo4bo2bo$23bo2b
6o$24b2o$26bob2o$26b2obo6$33bo3bo$28bo5b3o$27bobo$27bobo2bo5bo$28b2obo
bo3bobo$31bobo3bobo$28b3obob2ob2o$22b2o3bo2bobobobo$22bobo3b2o2bobobo$
20b2o2b4o4bobobob2o$18bo2bobo4b4o2bobob2o$18b2o3b2o2bo6bobo$22bo4b2o2b
3o2bo$21bob2o5bo3b2o$18bo2bo3bo5b2obo$18b3obobobo5bo2bo$22bobo2bo2bo3b
2o$16b7o2bob5o$13bobo7bobo$13b2obob6o2b4o$16bobo5b2o3bo$16bo2b2ob2o2bo
$14b2obobo3bobo$15bobo2b3o2b2o$15bo2b2o2bobo$14b2o3bobo2bo$19bo2b2o$
18b2o6$33bo3bo$29b2o3b3o$30bo$30bobo5bo$28b2obobo3bobo$27bo3bobo3bobo$
24bo3b3obob2ob2o$24b4o2bobobobo$28b2o2bobobo$24b4o4bobobob2o$24bo3b4o
2bobob2o$27bo6bobo$27b2o2b3o2bo$19b2o9bo2bobo$16bo2bo2bob2o5b2o2b2o$
15bobobob2obobo5bobo$16bo2bo4bobo5bobo$19bob4ob3o4bo$20bo4bo3bo$22b2ob
o2b2o$21b2obo6$33bo3bo$29b2o3b3o$30bo$30bobo5bo$19b2o7b2obobo3bobo$20b
o6bo3bobo3bobo$18bo5b2o2b3obob2ob2o$18b5o2b3o2bobobobo$22b2o4b2o2bobob
o$18b2o4b4o4bobobob2o$17bobo4bo3b4o2bobob2o$17bo9bo6bobo$16b2o9b2o2b3o
2bo$17bob2o9bo2bobo$17bobo2bob2o5b2o2b2o$16b2obob2obobo5bobo$19bo4bobo
5bobo$19bob4ob3o4bo$20bo4bo3bo$21b3obo2b2o$23b2o6$33bo3bo$29b2o3b3o$
30bo$28bobobo5bo$18b2o8b2obobo3bobo$17bo2bob2o7bobo3bobo$17bob2obobo3b
3obob2ob2o$16b2obo4bo2bo2bobobobo$16bo2bob3o4b2o2bobobo$17b3obo2b4o4bo
bobob2o$14b3o7bo3b4o2bobob2o$13bo3bo9bo6bobo$14bo2bo9b2o2b3o2bo$15bobo
b2o9bo2bobo$16b2obo2bob2o5b2o2b2o$19bob2obobo5bobo$19bo4bobo2bo2bobo$
18b2ob4ob4o3bo$20bo4bo$20bobo2bobo$21b2o3b2o6$33bo3bo$29b2o3b3o$30bo$
28bobobo5bo$28b2obobo3bobo$31bobo3bobo$28b3obob2ob2o$22b2o3bo2bobobobo
$22bobo3b2o2bobobo$18bob2o2b4o4bobobob2o$18b2obobo4b4o2bobob2o$23b2o2b
o6bobo$22bo4b2o2b3o2bo$21bob2o5bo3b2o$19b3o3bo5b2o$18bo3bobobo5bob2o$
18b2o2bobo2bo2bobo2bo$21b2o2bob4ob2o$18b3o2bobo$14b2obo3b3o2b3o$12bo2b
ob3o4b2o2bo$12b2obo4b4o2b2o$9bo5b3o2bo2bobo$9b6o3bobobo2bo$7b2o6b4obob
obo$7bo2b5o5bo2bo$8b2o6b3obo$9bo2b4o3bo$9bobo4bobo$8b2ob2o2b2ob2o6$33b
o3bo$29b2o3b3o$30bo$28bobobo5bo$28b2obobo3bobo$31bobo3bobo$28b3obob2ob
2o$22b2o3bo2bobobobo$22bobo3b2o2bobobo$18bob2o2b4o4bobobob2o$18b2obobo
4b4o2bobob2o$23b2o2bo6bobo$22bo4b2o2b3o2bo$21bob2o5bo3b2o$19b3o3bo5b2o
$18bo3bobobo5bob2o$18b2o2bobo2bo2bobo2bo$21b2o2bob4ob2o$18b3o2bobo$14b
2obo3b3o2b3o$12bo2bob3o4b2o2bo$6b2o4b2obo4b4o2bo$6bo2bo5b3o2bo2bo2b2o$
8b7o3bobobo$15b4obobobo$10b5o5bo2b2o$9bo6b3obo$9bo2b4o3bo$8b2obo4b3o$
8bo2b2o2bo$10bo2bo2bo$11b2ob2o$12bobo$12bobo$13bo6$33bo3bo$29b2o3b3o$
30bo$30bobo5bo$28b2obobo3bobo$27bo3bobo3bobo$24bo3b3obob2ob2o$24b4o2bo
bobobo$28b2o2bobobo$24b4o4bobobob2o$24bo3b4o2bobob2o$27bo6bobo$27b2o2b
3o2bo$19b2o9bo3b2o$19bo2bob2o5b2o$20b3obobo5bob2o$24bobo2bo2bo2bo$22b
3ob4o3b2o$21bo3bo$21b2o2bobo$26b2o6$33bo3bo$29b2o3b3o$30bo$28bobobo5bo
$28b2obobo3bobo$31bobo3bobo$28b3obob2ob2o$22b2o3bo2bobobobo$22bobo3b2o
2bobobo$20b2o2b4o4bobobob2o$21bobo4b4o2bobob2o$20bo2b2o2bo6bobo$20bobo
4b2o2b3o2bo$21bob2o5bo5b2o$19bobo3bo5b5o$19b2obobobo5bo2bo$22bobo2bo2b
o$22bo2bob5o$23bobo$24b2ob3o$27bo2bo$27bobo$28bo6$33bo3bo$29b2o3b3o$
30bo$30bobo5bo$28b2obobo3bobo$27bo3bobo3bobo$24bo3b3obob2ob2o$24b4o2bo
bobobo$28b2o2bobobo$24b4o4bobobob2o$24bo3b4o2bobob2o$27bo6bobo$27b2o2b
3o2bo$30bo3b2o$24b2o5b2o$23bobo6bob2o$23bo8bo2bo$22b2o9b2o6$33bo3bo$
29b2o3b3o$30bo$30bobo5bo$28b2obobo3bobo$27bo3bobo3bobo$25bo2b3obob2ob
2o$25b3o2bobobobo$28b2o2bobobo$23b5o4bobobob2o$22bobo3b4o2bobob2o$22bo
4bo6bobo$20b2obo3b2o2b3o2bo$21bobo6bo2bobo$20bo2b3o5b2o2b2o$21b2o3bo5b
obo$23b4o5bobo$23bo9bo$21bobob2o$21b2o2bo$25bobo$26b2o6$33bo3bo$29b2o
3b3o$30bo$30bobo5bo$28b2obobo3bobo$27bo3bobo3bobo$25bo2b3obob2ob2o$25b
3o2bobobobo$28b2o2bobobo$23b5o4bobobob2o$22bobo3b4o2bobob2o$22bo4bo6bo
bo$20b2obo3b2o2b3o2bo$21bobo6bo2bobo$20bo2b3o5b2o2b2o$21b2o3bo5bobo$
23b4o5bobo$23bo9bo$20b2obob2o$20bo2bobo$22bo4bo$23b5o2$25bo$24bobo$25b
o6$33bo3bo$29b2o3b3o$30bo$30bobo5bo$28b2obobo3bobo$27bo3bobo3bobo$24bo
3b3obob2ob2o$24b4o2bobobobo$28b2o2bobobo$24b4o4bobobob2o$24bo3b4o2bobo
b2o$27bo6bobo$27b2o2b3o2bo$30bo2bobo$19bo2bob2o5b2o2b2o$19b4ob2o6bobo$
32bobo$21b2ob2o7bo$22bobo$22bobo$23bo6$33bo3bo$29b2o3b3o$30bo$30bobo5b
o$28b2obobo3bobo$27bo3bobo3bobo$25bo2b3obob2ob2o$25b3o2bobobobo$28b2o
2bobobo$23b5o4bobobob2o$22bobo3b4o2bobob2o$22bo4bo6bobo$20b2obo3b2o2b
3o2bo$21bobo6bo3b2o$20bo2b3o5b2obo$21b2o3bo5bobo$23b4o5bo2b2o$23bo9bob
o$20b2obob2o5b2o2bo$20bo2bobo7bob2o$22bo4bo5bo$23b5o2b2obo$31bob2o$25b
ob4o$25b2obo6$33bo3bo$29b2o3b3o$30bo$28bobobo5bo$28b2obobo3bobo$31bobo
3bobo$28b3obob2ob2o$22b2o3bo2bobobobo$22bobo3b2o2bobobo$20b2o2b4o4bobo
bob2o$18bo2bobo4b4o2bobob2o$18b2o3b2o2bo6bobo$22bo4b2o2b3o2bo$21bob2o
5bo3b2o$19b3o3bo5b2o$18bo3bobobo5bob2o$18b2o2bobo2bo2bobo2bo$21b2o2bob
4ob2o$18b3o2bobo$14b2obo3b3o2b3o$12bo2bob3o4b2o2bo$12b2obo4b4o2b2o$15b
3o2bo2bobo$10b5o3bobobo2bo$9bo5b4obobobo$9b6o5bo2bo$16b3obo$9b2ob4o3bo
$10bobo2bo2bo$10bo2bo4b2o$11b2o6$33bo3bo$29b2o3b3o$30bo$28bobobo5bo$
28b2obobo3bobo$26b2o3bobo3bobo$25bo2b3obob2ob2o$26b2o2bobobobo$28b2o2b
obobo$24b4o4bobobob2o$24bo3b4o2bobob2o$27bo6bobo$19b2o6b2o2b3o2bo$18bo
bo9bo3b2o$18bo5b2o5b2o$15b2obo4bo2bo5bob2o$16bobob2o2bobo5bo2bo$16bobo
bo4bo7b2o$17b2obobo$21b2o$25bo$21b5o$21bo$23bo$22b2o6$33bo3bo$29b2o3b
3o$30bo$28bobobo5bo$28b2obobo3bobo$26b2o3bobo3bobo$25bo2b3obob2ob2o$
26b2o2bobobobo$28b2o2bobobo$24b4o4bobobob2o$24bo3b4o2bobob2o$27bo6bobo
$27b2o2b3o2bo$30bo3b2o$24b2o5b2o$19b2o2bo2bo5bob2o$19bo4bobo5bo2bo$16b
2obo5bo7b2o$16bo2bob2o$18b2obo2bo$22b3o2b2o$28bo$22b6o$22bo$23bobo$24b
2o6$33bo3bo$29b2o3b3o$30bo$28bobobo5bo$28b2obobo3bobo$31bobo3bobo$28b
3obob2ob2o$22b2o3bo2bobobobo$22bobo3b2o2bobobo$18bob2o2b4o4bobobob2o$
18b2obobo4b4o2bobob2o$23b2o2bo6bobo$22bo4b2o2b3o2bo$18b2obob2o5bo3b2o$
18bob2o3bo5b2o$22bobobo5bob2o$22bobo2bo2bobo2bo$21b2o2bob4ob2o$20bo2bo
bo$19bob3o2b3o$19bo4b2o2bo$20b4o2b2o$18bobo2bobo$18b2o2bo2bo$23b2o6$
33bo3bo$29b2o3b3o$30bo$30bobo5bo$28b2obobo3bobo$27bo3bobo3bobo$24bo3b
3obob2ob2o$24b4o2bobobobo$28b2o2bobobo$24b4o4bobobob2o$24bo3b4o2bobob
2o$27bo6bobo$27b2o2b3o2bo$30bo2bobo$24b2o5b2o2b2o$19b2o2bo2bo5bobo$16b
o2bo4bobo5bobo$15bobobo5bo7bo$16bo2bob2o$19bo2bo$20bo4bo$21b5o2$23bo$
22bobo$23bo6$33bo3bo$28bo5b3o$27bobo$27bobo2bo5bo$28b2obobo3bobo$31bob
o3bobo$28b3obob2ob2o$16bo5b2o3bo2bobobobo$15bobo4bobo3b2o2bobobo$15bob
o2b2o2b4o4bobobob2o$14b2ob2o2bobo4b4o2bobob2o$18bobo2b2o2bo6bobo$14b2o
bo2bobo4b2o2b3o2bo$14b2obobobob2o5bo3b2o$18bo2bo3bo5b2obo$19b2obobobo
5bo2bo$22bobo2bo2bo3b2o$9b2o8b4o2bob5o$9bo2b2o5bo3bobo$10bobobo5b4o2b
4o$8bobobobo2bo6b2o3bo$7bobob2ob4o4b2o2bo$7bobo3bo9bob2o$8b2o3bob3o5bo
$14bobo5b2o$18bo$17b2o6$33bo3bo$29b2o3b3o$30bo$28bobobo5bo$28b2obobo3b
obo$31bobo3bobo$28b3obob2ob2o$22b2o3bo2bobobobo$22bobo3b2o2bobobo$20b
2o2b4o4bobobob2o$17bo3bobo4b4o2bobob2o$15b3o2bo2b2o2bo6bobo$14bo5bobo
4b2o2b3o2bo$14b2o5bob2o5bo3b2o$19bobo3bo5b2o$19b2obobobo5bob2o$22bobo
2bo2bobo2bo$9b2o8b4o2bob4ob2o$9bo2b2o5bo3bobo$10bobobo5b4o2b3o$8bobobo
bo2bo6b2o2bo$7bobob2ob4o4b2o2b2o$7bobo3bo9bobo$8b2o3bob3o5bobo$14bobo
7bo$18bo$17b2o6$33bo3bo$29b2o3b3o$30bo$28bobobo5bo$28b2obobo3bobo$31bo
bo3bobo$28b3obob2ob2o$22b2o3bo2bobobobo$22bobo3b2o2bobobo$12b2o6b2o2b
4o4bobobob2o$10bo2bo7bobo4b4o2bobob2o$6b2obob2o7bo2b2o2bo6bobo$4bo2bob
o10bobo4b2o2b3o2bo$4b2o3bob2o8bob2o5bo3b2o$8bo2b2o6bobo3bo5b2o$8b2o9b
2obobobo5bob2o$22bobo2bo2bobo2bo$19b4o2bob4ob2o$9b2ob2o5bo3bobo$5bo2bo
bobobo5b4o2b3o$5b4o3bobo2bo6b2o2bo$10bobob4o4b2o2b2o$7b2ob2obo9bobo$8b
o4bob3o5bobo$6bobo4b2obo7bo$6b2o10bo$17b2o6$33bo3bo$29b2o3b3o$30bo$28b
obobo5bo$28b2obobo3bobo$31bobo3bobo$28b3obob2ob2o$22b2o3bo2bobobobo$
22bobo3b2o2bobobo$10b2o8b2o2b4o4bobobob2o$9bo2bobo6bobo4b4o2bobob2o$9b
ob2ob3o3bo2b2o2bo6bobo$7b3o2bo4bo2bobo4b2o2b3o2bo$6bo3bobob3o4bob2o5bo
3b2o$6bobobobobo4bobo3bo5b2o$7b3o3bo5b2obobobo5bob2o$22bobo2bo2bobo2bo
$7b3o9b4o2bob4ob2o$6bobobob2o5bo3bobo$6bo3bobobo5b4o2b3o$7b3o2bobo2bo
6b2o2bo$10b3ob4o4b2o2b2o$9bo3bo9bobo$9b2o2bob3o5bobo$14bobo7bo$18bo$
17b2o6$33bo3bo$28bo5b3o$27bobo$27bobo2bo5bo$28b2obobo3bobo$31bobo3bobo
$28b3obob2ob2o$22b2o3bo2bobobobo$22bobo3b2o2bobobo$7b2o11b2o2b4o4bobob
ob2o$8bo12bobo4b4o2bobob2o$6bo13bo2b2o2bo6bobo$6b5o9bobo4b2o2b3o2bo$4b
2o5bo9bob2o5bo3b2o$5bo2b2obo7bobo3bo5b2o$5bobob2o8b2obobobo5bob2o$6bo
15bobo2bo2bobo2bo$19b4o2bob4ob2o$9b2ob2o5bo3bobo$8bobobobo5b4o2b3o$6b
3o3bobo2bo6b2o2bo$5bo4bobob4o4b2o2b2o$5bob2ob2obo9bobo$6bobo4bob3o5bob
o$8bo4b2obo7bo$8b2o8bo$17b2o6$33bo3bo$29b2o3b3o$30bo$28bobobo5bo$28b2o
bobo3bobo$31bobo3bobo$9b2o17b3obob2ob2o$10bo11b2o3bo2bobobobo$9bo12bob
o3b2o2bobobo$9b4o7b2o2b4o4bobobob2o$12bo8bobo4b4o2bobob2o$6bo2b2o9bo2b
2o2bo6bobo$6b4ob4o5bobo4b2o2b3o2bo$4b2o5bo2bo6bob2o5bo3b2o$5bo2b2obo7b
obo3bo5b2o$5bobob2o8b2obobobo5bob2o$6bo15bobo2bo2bobo2bo$19b4o2bob4ob
2o$9b2ob2o5bo3bobo$8bobobobo5b4o2b3o$6b3o3bobo2bo6b2o2bo$5bo4bobob4o4b
2o2bo$5bob2ob2obo9bo2b2o$6bo2bo3bob3o3bo$7bobo3b2obo4b2o$8bo9bo$17b2o
6$27bo$25b3o$24bo$21b2o2bo7bo3bo$21bob2obobo5b3o$26b2obo$22b2obo3bo2bo
5bo$22b2obob3obobo3bobo$26bo4bobo3bobo$27b4obob2ob2o$30bobobobo$17b2o
8b3o2bobobo$17bo2b2o5bo4bobobob2o$18bobobo5b4o2bobob2o$16bobobobo2bo8b
obo$15bobob2ob4o4b4o2bo$15bobo3bo9bo4b2o$16b2o3bob3o3bo$22bobo4b2o$26b
o$25b2o6$33bo3bo$25bo3b2o3b3o$23b3o4bo$22bo7bobo5bo$22b2o4b2obobo3bobo
$27bo3bobo3bobo$27b4obob2ob2o$30bobobobo$17b2o8b3o2bobobo$17bo2b2o5bo
4bobobob2o$18bobobo5b4o2bobob2o$16bobobobo2bo8bobo$15bobob2ob4o4b4o2bo
$15bobo3bo9bo4b2o$16b2o3bob3o3bo$22bobo4b2o$26bo$25b2o6$33bo3bo$29b2o
3b3o$30bo$28bobobo5bo$28b2obobo3bobo$31bobo3bobo$23b2o3b3obob2ob2o$23b
2o2bo2bobobobo$27b3o2bobobo$23b4o5bobobob2o$23bo3b5o2bobob2o$26bo7bobo
$26b2o2b4o2bo$29bo6b2o$21bob2o5b2o$19b3ob2o6bo$18bo11bo$19b3ob2o5b2o$
21bobo$23bo$23b2o6$33bo3bo$29b2o3b3o$30bo$28bobobo5bo$28b2obobo3bobo$
31bobo3bobo$23b2o3b3obob2ob2o$23b2o2bo2bobobobo$27b3o2bobobo$23b4o5bob
obob2o$23bo3b5o2bobob2o$26bo7bobo$26b2o2b4o2bo$29bo6b2o$23b2o5b2o$22bo
bo6bo$22bo6bo$21b2o6b2o6$33bo3bo$27b2o5b3o$27bobo$29bo2bo5bo$28b2obobo
3bobo$31bobo3bobo$23b2o3b3obob2ob2o$23b2o2bo2bobobobo$27b3o2bobobo$23b
4o5bobobob2o$18b2o3bo3b5o2bobob2o$18bobo5bo7bobo$20bo5b2o2b4o2bo$20b2o
7bo6b2o$23b2o5b2o$20b3o2bo5bo$19bo4bobo4bobo$19bob2obob3o3b2o$16b2obob
o2bo4bo$16b2obo2bobob3o$19bo3b2obo$19b2o6$33bo3bo$29b2o3b3o$16bo13bo$
14b5o11bobo5bo$13bo5bo8b2obobo3bobo$13bo2b2obo7bo3bobo3bobo$12b2obob2o
8b4obob2ob2o$11bo2bo15bobobobo$11b2o14b3o2bobobo$17b2ob2o5bo4bobobob2o
$16bobobobo5b4o2bobob2o$14b3o3bobo2bo8bobo$13bo4bobob4o4b4o2bo$13bob2o
b2obo9bo4b2o$14bobo4bob3o3bo$16bo4b2obo4b2o$16b2o8bo$25b2o6$17b2o$18bo
$17bo$17b4o12bo3bo$20bo8b2o3b3o$14bo2b2o11bo$14b4ob4o7bobo5bo$12b2o5bo
2bo5b2obobo3bobo$13bo2b2obo7bo3bobo3bobo$13bobob2o8b4obob2ob2o$14bo15b
obobobo$27b3o2bobobo$17b2ob2o5bo4bobobob2o$13bo2bobobobo5b4o2bobob2o$
13b4o3bobo2bo8bobo$18bobob4o4b4o2bo$15b2ob2obo9bo4b2o$14bobo4bob3o3bo$
14bobo4b2obo4b2o$15bo10bo$25b2o6$33bo3bo$29b2o3b3o$30bo$28bobobo5bo$
28b2obobo3bobo$31bobo3bobo$23b2o3b3obob2ob2o$23b2o2bo2bobobobo$27b3o2b
obobo$23b4o5bobobob2o$23bo3b5o2bobob2o$26bo7bobo$26b2o2b4o2bo$29bo6b2o
$23b2o5b2o$18b2o2bo2bo5bo$15bo2bo4bobo3bo$14bobobo5bo4b2o$15bo2bob2o$
18bo2bo$19bo4bo$20b5o2$22bo$21bobo$22bo6$33bo3bo$28bo5b3o$27bobo$27bob
o2bo5bo$28b2obobo3bobo$31bobo3bobo$21bob2o3b3obob2ob2o$21b2obo2bo2bobo
bobo$19b2o6b3o2bobobo$18bo3b5o5bobobob2o$18b4obo3b5o2bobob2o$26bo7bobo
$18b2o6b2o2b4o2bo$18bobo8bo6b2o$19bobob2o5b2o$17bobobobobo5bo2bo$17b2o
bo2bobo5bobobo$20bob2ob2o3b2o2bo$20bo2bo4bo2bo$21bo3b6o$22b3o$24bo2b2o
$27b2o6$33bo3bo$28bo5b3o$27bobo$27bobo2bo5bo$28b2obobo3bobo$31bobo3bob
o$23b2o3b3obob2ob2o$24bo2bo2bobobobo$22bo4b3o2bobobo$21bob4o5bobobob2o
$21bobo3b5o2bobob2o$20b2o4bo7bobo$22bo3b2o2b4o2bo$22bo6bo6b2o$20bob3o
5b2o$19bobo3bo5bo$19bo2b4o4bo$20bobo7b2o$19b2obob2o$19bo2bobo$21bo4bo$
22b5o2$24bo$23bobo$24bo6$33bo3bo$28bo5b3o$27bobo$27bobo2bo5bo$28b2obob
o3bobo$31bobo3bobo$23b2o3b3obob2ob2o$24bo2bo2bobobobo$22bo4b3o2bobobo$
21bob4o5bobobob2o$21bobo3b5o2bobob2o$20b2o4bo7bobo$19bo2bo3b2o2b4o2bo$
18bobobo6bo6b2o$19bo2b3o5b2o$20b2o3bo5bo$22b4o4bo$22bo7b2o$20bobob2o$
20b2o2bo$24bobo$25b2o6$33bo3bo$29b2o3b3o$30bo$28bobobo5bo$28b2obobo3bo
bo$31bobo3bobo$23b2o3b3obob2ob2o$24bo2bo2bobobobo$22bo4b3o2bobobo$21bo
b4o5bobobob2o$21bobo3b5o2bobob2o$20b2o4bo7bobo$22bo3b2o2b4o2bo$22bo6bo
4b2o$20bob3o5b2obo$19bobo3bo5bobo$19bo2b4o5bo2b2o$20bobo9bobo$19b2obob
2o5b2obo$19bo2bobo7bob2o$21bo4bo5bo$22b5o2b2obo$30bob2o$24b6o$24bo2bo
6$33bo3bo$29b2o3b3o$30bo$28bobobo5bo$28b2obobo3bobo$31bobo3bobo$23b2o
3b3obob2ob2o$23b2o2bo2bobobobo$27b3o2bobobo$23b4o5bobobob2o$23bo3b5o2b
obob2o$26bo7bobo$18b2o6b2o2b4o2bo$17bobo9bo6b2o$14bo2bo5b2o5b2o$13bobo
bo4bo2bo5bo$14bo2bob2o2bobo3bo$17bobo4bo4b2o$16b2obobo$20b2o$24bo$20b
5o$20bo$22bo$21b2o6$33bo3bo$29b2o3b3o$30bo$28bobobo5bo$28b2obobo3bobo$
31bobo3bobo$23b2o3b3obob2ob2o$23b2o2bo2bobobobo$27b3o2bobobo$23b4o5bob
obob2o$23bo3b5o2bobob2o$26bo7bobo$26b2o2b4o2bo$29bo6b2o$23b2o5b2o$18b
2o2bo2bo5bo$18bo4bobo3bo$15b2obo5bo4b2o$15bo2bob2o$17b2obo2bo$21b3o2b
2o$27bo$21b6o$21bo$22bobo$23b2o6$33bo3bo$28bo5b3o$27bobo$27bobo2bo5bo$
28b2obobo3bobo$31bobo3bobo$23b2o3b3obob2ob2o$21bo2bo2bo2bobobobo$21b2o
4b3o2bobobo$19b2o2b4o5bobobob2o$20bobo4b5o2bobob2o$19bo2b2o2bo7bobo$
19bobo4b2o2b4o2bo$20bob2o5bo6b2o$18bobo3bo5b2o$18b2obobobo5bo$21bobo2b
o2bo$21bo2bob5o$22bobo$23b2ob3o$26bo2bo$26bobo$27bo6$33bo3bo$27b2o5b3o
$27bobo$29bo2bo5bo$28b2obobo3bobo$31bobo3bobo$23b2o3b3obob2ob2o$23b2o
2bo2bobobobo$19b2o6b3o2bobobo$20bo2b4o5bobobob2o$20bobo4b5o2bobob2o$
18b2o2b2o2bo7bobo$17bobobo4b2o2b4o2bo$17bo2bob2o5bo6b2o$18bobo3bo5b2o$
19bobobobo5bo$21bobo2bo2bo$20b2o2bob5o$19bo2bobo$18bob3o2b4o$19bo3b2o
3bo$20b3o2bo$22bobo$23bo6$33bo3bo$27b2o5b3o$27bobo$29bo2bo5bo$28b2obob
o3bobo$31bobo3bobo$23b2o3b3obob2ob2o$23b2o2bo2bobobobo$27b3o2bobobo$
23b4o5bobobob2o$23bo3b5o2bobob2o$26bo7bobo$26b2o2b4o2bo$18b2o9bo6b2o$
18bo2bob2o5b2o$19b3obobo5bo$23bobo2b3o$21b3ob4o$20bo3bo$20b2o2bobo$25b
2o6$33bo3bo$28bo5b3o$27bobo$27bobo2bo5bo$18b2o8b2obobo3bobo$19bo11bobo
3bobo$17bo5b2o3b3obob2ob2o$17b5o2bo2bo2bobobobo$21b2o4b3o2bobobo$17b2o
4b4o5bobobob2o$16bobo4bo3b5o2bobob2o$16bo9bo7bobo$15b2o9b2o2b4o2bo$16b
ob2o9bo6b2o$16bobo2bob2o5b2o$15b2obob2obobo5bo$18bo4bobo2b3o$18bob4ob
4o$19bo4bo$21bo2bobo$20b2o3b2o6$33bo3bo$27b2o5b3o$27bobo$29bo2bo5bo$
28b2obobo3bobo$31bobo3bobo$23b2o3b3obob2ob2o$23b2o2bo2bobobobo$27b3o2b
obobo$23b4o5bobobob2o$23bo3b5o2bobob2o$26bo7bobo$26b2o2b4o2bo$18b2o9bo
6b2o$15bo2bo2bob2o5b2o$14bobobob2obobo5bo$15bo2bo4bobo2b3o$18bob4ob4o$
19bo4bo$21bo2bobo$20b2o3b2o6$33bo3bo$29b2o3b3o$30bo$28bobobo5bo$28b2ob
obo3bobo$31bobo3bobo$22b2o4b3obob2ob2o$21bo2bo2bo2bobobobo$21bobo3b3o
2bobobo$19b2o2b4o5bobobob2o$17bo2bobo4b5o2bobob2o$17b2o3b2o2bo7bobo$
21bo4b2o2b4o2bo$20bob2o5bo6b2o$18b3o3bo5b2o$17bo3bobobo5bo$17b2o2bobo
2bo2bo$20b2o2bob5o$17b3o2bobo$16bo3b3o2b4o$16b3o4b2o3bo$19b4o2bobo$16b
2obo2bo2b2o$17bobobo$17bob2o$18bo$16bobo$16b2o6$33bo3bo$29b2o3b3o$30bo
$28bobobo5bo$17b2o9b2obobo3bobo$16bo2bob2o8bobo3bobo$16bob2obo2bo3b3ob
ob2ob2o$15b2obo4b2o2bo2bobobobo$15bo2bob3o4b3o2bobobo$16b3obo2b4o5bobo
bob2o$13b3o7bo3b5o2bobob2o$12bo3bo9bo7bobo$13bo2bo9b2o2b4o2bo$14bobob
2o9bo6b2o$15b2obo2bob2o5b2o$18bob2obobo5bo$18bo4bobo2b3o$17b2ob4ob4o$
19bo4bo$19bobo2bobo$20b2o3b2o6$33bo3bo$29b2o3b3o$30bo$28bobobo5bo$28b
2obobo3bobo$31bobo3bobo$23b2o3b3obob2ob2o$21bo2bo2bo2bobobobo$21b2o4b
3o2bobobo$19b2o2b4o5bobobob2o$17bo2bobo4b5o2bobob2o$17b2o3b2o2bo7bobo$
21bo4b2o2b4o2bo$20bob2o5bo6b2o$18b3o3bo5b2o$17bo3bobobo5bo$17b2o2bobo
2bo2bo$20b2o2bob5o$13bo3b3o2bobo$12bobobo3b3o2b4o$12bobob3o4b2o3bo$7b
2o2b2obo4b4o2bobo$7bobo2bob3o2bo2bo2b2o$9b2o2bo3bobobo$4b2o2bo5b4obobo
bo$4bo2bob5o5bo2b2o$6b2obo5b3obo$10bo2b2o3bo$6b3obo3bobo$2b2obo2bob4o
2b2o$bobob2o6bobo$bobobo3b4o2bo$2bo2bo2bo4b2o$3b2o3b2o2bo$5b3o2bo2b2o$
5bo2b2o5bo$6b2o7bo$8b2o4b2ob2o$8bo3bo3bobo$9b4ob2o$13bo$11bobo$11b2o6$
33bo3bo$29b2o3b3o$30bo$28bobobo5bo$28b2obobo3bobo$31bobo3bobo$22b2o4b
3obob2ob2o$21bo2bo2bo2bobobobo$21bobo3b3o2bobobo$17bob2o2b4o5bobobob2o
$17b2obobo4b5o2bobob2o$22b2o2bo7bobo$21bo4b2o2b4o2bo$20bob2o5bo6b2o$
18b3o3bo5b2o$17bo3bobobo5bo$17b2o2bobo2bo2bo$20b2o2bob5o$17b3o2bobo$
13b2obo3b3o2b2obo$11bo2bob3o4b2o2b2o$11b2obo4b4o2bo$8bo5b3o2bo2bobo$8b
6o3bobobo2b2o$6b2o6b4obobobo$6bo2b5o5bo2b2o$7b2o6b3obo$8bo2b4o3bo$8bob
o4bobo$7b2ob2o2b2ob2o6$33bo3bo$29b2o3b3o$30bo$28bobobo5bo$28b2obobo3bo
bo$31bobo3bobo$23b2o3b3obob2ob2o$21bo2bo2bo2bobobobo$21b2o4b3o2bobobo$
17bob2o2b4o5bobobob2o$17b2obobo4b5o2bobob2o$22b2o2bo7bobo$21bo4b2o2b4o
2bo$17b2obob2o5bo6b2o$17bob2o3bo5b2o$21bobobo5bo$21bobo2bo2bo$20b2o2bo
b5o$19bo2bobo6bo$18bob3o2b3o2b2o$18bo4b2o2bo$19b4o2b2o$17bobo2bobo$17b
2o2bo2bo$22b2o6$33bo3bo$28bo5b3o$27bobo$27bobo2bo5bo$28b2obobo3bobo$
31bobo3bobo$22b2o4b3obob2ob2o$21bo2bo2bo2bobobobo$21bobo3b3o2bobobo$
17bob2o2b4o5bobobob2o$17b2obobo4b5o2bobob2o$22b2o2bo7bobo$21bo4b2o2b4o
2bo$20bob2o5bo6b2o$18b3o3bo5b2o$17bo3bobobo5bo$17b2o2bobo2bo2bo$20b2o
2bob5o$17b3o2bobo$13b2obo3b3o2b4o$6b2o3bo2bob3o4b2o3bo$6bo4b2obo4b4o2b
o$8bo5b3o2bo2bobo$7b7o3bobobo2b2o$14b4obobobo$9b5o5bo2b2o$8bo6b3obo$8b
o2b4o3bo$7b2obo5b2o$7bo2b2o2b2o$9bo2bo2bo$10b2ob2o$11bobo$11bobo$12bo
6$33bo3bo$29b2o3b3o$30bo$28bobobo5bo$28b2obobo3bobo$31bobo3bobo$23b2o
3b3obob2ob2o$21bo2bo2bo2bobobobo$21b2o4b3o2bobobo$17bob2o2b4o5bobobob
2o$17b2obobo4b5o2bobob2o$22b2o2bo7bobo$21bo4b2o2b4o2bo$20bob2o5bo6b2o$
17bo2bo3bo5b2o$17b3obobobo5bo$21bobo2bo2bo$15b7o2bob5o$12bobo7bobo$12b
2obob6o2b2obo$15bobo5b2o2b2o$15bo2b2ob2o2bo$13b2obobo3bobo$14bobo2b3o
2b2o$14bo2b2o2bobo$13b2o3bobo2bo$18bo2b2o$17b2o6$33bo3bo$29b2o3b3o$30b
o$28bobobo5bo$28b2obobo3bobo$31bobo3bobo$22b2o4b3obob2ob2o$21bo2bo2bo
2bobobobo$21bobo3b3o2bobobo$19b2o2b4o5bobobob2o$20bobo4b5o2bobob2o$19b
o2b2o2bo7bobo$19bobo4b2o2b4o2bo$20bob2o5bo6b2o$18bobo3bo5b2o$17bobobob
obo5bo$17bo3bobo2bo2bo$13bob2ob4o2bob5o$13b2obo5bobo$16bob5o2b4o$16b2o
5b2o3bo$19b4o2b3o$16b3o3bo2bo$16bo2b3o$19bo6$33bo3bo$29b2o3b3o$30bo$
28bobobo5bo$28b2obobo3bobo$31bobo3bobo$22b2o4b3obob2ob2o$21bo2bo2bo2bo
bobobo$21bobo3b3o2bobobo$19b2o2b4o5bobobob2o$17bo2bobo4b5o2bobob2o$17b
2o3b2o2bo7bobo$21bo4b2o2b4o2bo$20bob2o5bo6b2o$18b3o3bo5b2o$17bo3bobobo
5bo$17b2o2bobo2bo2bo$20b2o2bob5o$17b3o2bobo$13b2obo3b3o2b4o$11bo2bob3o
4b2o3bo$11b2obo4b4o2bobo$14b3o2bo2bo2b2o$9b5o3bobobo$8bo5b4obobobo$8b
6o5bo2b2o$15b3obo$8b2ob4o3bo$9bobo2bo2bo$9bobo2bobo$10bo4bo6$33bo3bo$
29b2o3b3o$30bo$28bobobo5bo$28b2obobo3bobo$31bobo3bobo$23b2o3b3obob2ob
2o$21bo2bo2bo2bobobobo$21b2o4b3o2bobobo$19b2o2b4o5bobobob2o$20bobo4b5o
2bobob2o$19bo2b2o2bo7bobo$19bobo4b2o2b4o2bo$20bob2o5bo6b2o$18bobo3bo5b
2o$8b2o3bobo2b2obobobo5bo$9bo2bob2o5bobo2bo2bo$7bo4bo3b6o2bob5o$6bob4o
b3o6bobo$3bo2bo4bobo2b7o2b4o$2bobobob2obobo2bo6b2o3bo$3bo2bo2bob2o6b4o
2bo$6b2o10bo4bobo$14b2o2b5obo$13bob3o4bo$12bo5b3obo$11bo5bo3bo$10bob3o
2bobo$10bo2bobobob2o$11bo3b2o$12b3o$14bo6$33bo3bo$29b2o3b3o$30bo$28bob
obo5bo$28b2obobo3bobo$31bobo3bobo$23b2o3b3obob2ob2o$21bo2bo2bo2bobobob
o$21b2o4b3o2bobobo$19b2o2b4o5bobobob2o$20bobo4b5o2bobob2o$19bo2b2o2bo
7bobo$19bobo4b2o2b4o2bo$20bob2o5bo6b2o$18bobo3bo5b2o$13bobo2b2obobobo
5bo$8b2o2bob2o5bobo2bo2bo$8bo3bo3b6o2bob5o$9b3ob3o6bobo$11bobo2b7o2b4o
$7b3obobo2bo6b2o3bo$6bo2bob2o6b4o2bo$6b2o10bo4bobo$14b2o2b5obo$13bob3o
4bo$12bo5b3obo$11bo5bo3bo$10bob3o2bobo$10bo2bobobob2o$11bo3b2o$12b3o$
14bo6$33bo3bo$27b2o5b3o$27bobo$29bo2bo5bo$28b2obobo3bobo$31bobo3bobo$
22b2o4b3obob2ob2o$21bo2bo2bo2bobobobo$21bobo3b3o2bobobo$19b2o2b4o5bobo
bob2o$20bobo4b5o2bobob2o$19bo2b2o2bo7bobo$19bobo4b2o2b4o2bo$20bob2o5bo
6b2o$18bobo3bo5b2o$13bobo2b2obobobo5bo$8b2o2bob2o5bobo2bo2bo$8bo3bo3b
6o2bob5o$9b3ob3o6bobo$11bobo2b7o2b2obo$7b3obobo2bo6b2o2b2o$6bo2bob2o6b
4o2bo$6b2o10bo4b2o$14b2o2b5o$13bob3o4bo$12bo5b4o$11bo5bo$10bob3o2bob2o
bo$10bo2bobobobob2o$11bo3b2o$12b3o$14bo6$33bo3bo$28bo5b3o$27bobo$27bob
o2bo5bo$28b2obobo3bobo$31bobo3bobo$22b2o4b3obob2ob2o$21bo2bo2bo2bobobo
bo$21bobo3b3o2bobobo$19b2o2b4o5bobobob2o$20bobo4b5o2bobob2o$19bo2b2o2b
o7bobo$19bobo4b2o2b4o2bo$20bob2o5bo6b2o$18bobo3bo5b2o$8b2o3bobo2b2obob
obo5bo$9bo2bob2o5bobo2bo2bo$7bo4bo3b6o2bob5o$6bob4ob3o6bobo$3bo2bo4bob
o2b7o2b2obo$2bobobob2obobo2bo6b2o2b2o$3bo2bo2bob2o6b4o2bo$6b2o10bo4b2o
$14b2o2b5o$13bob3o4bo$12bo5b4o$11bo5bo$10bob3o2bob2obo$10bo2bobobobob
2o$11bo3b2o$12b3o$14bo6$33bo3bo$27b2o5b3o$27bobo$29bo2bo5bo$28b2obobo
3bobo$31bobo3bobo$22b2o4b3obob2ob2o$21bo2bo2bo2bobobobo$21bobo3b3o2bob
obo$19b2o2b4o5bobobob2o$20bobo4b5o2bobob2o$19bo2b2o2bo7bobo$19bobo4b2o
2b4o2bo$20bob2o5bo6b2o$18bobo3bo5b2o$13bobo2b2obobobo5bo$8b2o2bob2o5bo
bo2bo2bo$8bo3bo3b6o2bob5o$9b3ob3o6bobo$11bobo2b7o2b4o$7b3obobo2bo6b2o
3bo$6bo2bob2o6b4o2bo$6b2o10bo4b2o$14b2o2b5o$13bob3o4bo$12bo5b4o$11bo5b
o$11b2o2bo2b4o$15b3o3bo$18bo$17b2o6$33bo3bo$27b2o5b3o$27bobo$29bo2bo5b
o$28b2obobo3bobo$31bobo3bobo$22b2o4b3obob2ob2o$21bo2bo2bo2bobobobo$21b
obo3b3o2bobobo$19b2o2b4o5bobobob2o$20bobo4b5o2bobob2o$19bo2b2o2bo7bobo
$19bobo4b2o2b4o2bo$20bob2o5bo6b2o$18bobo3bo5b2o$8b2o3bobo2b2obobobo5bo
$9bo2bob2o5bobo2bo2bo$7bo4bo3b6o2bob5o$6bob4ob3o6bobo$3bo2bo4bobo2b7o
2b4o$2bobobob2obobo2bo6b2o3bo$3bo2bo2bob2o6b4o2bo$6b2o10bo4b2o$14b2o2b
5o$13bob3o4bo$12bo5b4o$11bo5bo$11b2o2bo2b4o$15b3o3bo$18bo$17b2o6$33bo
3bo$29b2o3b3o$30bo$28bobobo5bo$28b2obobo3bobo$31bobo3bobo$23b2o3b3obob
2ob2o$21bo2bo2bo2bobobobo$21b2o4b3o2bobobo$19b2o2b4o5bobobob2o$20bobo
4b5o2bobob2o$19bo2b2o2bo7bobo$19bobo4b2o2b4o2bo$20bob2o5bo6b2o$18bobo
3bo5b2o$13bobo2b2obobobo5bo$8b2o2bob2o5bobo2bo2bo$8bo3bo3b6o2bob5o$9b
3ob3o6bobo$11bobo2b7o2b4o$7b3obobo2bo6b2o3bo$6bo2bob2o6b4o2bo$6b2o10bo
4bobo$14b2o2b5obo$13bob3o4bo$12bo5b3obo$11bo5bo3bo$11b2o2bo2b3o$15b3o$
18bo$17b2o6$33bo3bo$27b2o5b3o$27bobo$29bo2bo5bo$28b2obobo3bobo$31bobo
3bobo$22b2o4b3obob2ob2o$21bo2bo2bo2bobobobo$21bobo3b3o2bobobo$19b2o2b
4o5bobobob2o$20bobo4b5o2bobob2o$19bo2b2o2bo7bobo$19bobo4b2o2b4o2bo$20b
ob2o5bo6b2o$18bobo3bo5b2o$8b2o3bobo2b2obobobo5bo$9bo2bob2o5bobo2bo2bo$
7bo4bo3b6o2bob5o$6bob4ob3o6bobo$3bo2bo4bobo2b7o2b4o$2bobobob2obobo2bo
6b2o3bo$3bo2bo2bob2o6b4o2bo$6b2o10bo4bobo$14b2o2b5obo$13bob3o4bo$12bo
5b3obo$11bo5bo3bo$11b2o2bo2b3o$15b3o$18bo$17b2o6$33bo3bo$27b2o5b3o$27b
obo$29bo2bo5bo$28b2obobo3bobo$31bobo3bobo$22b2o4b3obob2ob2o$21bo2bo2bo
2bobobobo$21bobo3b3o2bobobo$17bob2o2b4o5bobobob2o$17b2obobo4b5o2bobob
2o$22b2o2bo7bobo$21bo4b2o2b4o2bo$20bob2o5bo6b2o$20bo3bo5b2o$18b2obobob
o5bo$17bo3bobo2bo2bo$16bob4o2bob5o$16bobo3bobo$13b2obo3b3o2b4o$14bob4o
3b2o3bo$14bo5b3o2b3o$15b3obo2bo2bo$17bobobo$20bo6$33bo3bo$29b2o3b3o$
30bo$28bobobo5bo$28b2obobo3bobo$31bobo3bobo$22b2o4b3obob2ob2o$21bo2bo
2bo2bobobobo$21bobo3b3o2bobobo$19b2o2b4o5bobobob2o$20bobo4b5o2bobob2o$
19bo2b2o2bo7bobo$19bobo4b2o2b4o2bo$20bob2o5bo6b2o$18bobo3bo5b2o$16b4ob
obobo5bo$15bo5bobo2bo2bo$13bo2bob4o2bob5o$13b2obobo3bobo$16bo3b3o2b4o$
16b4o3b2o3bo$20b3o2bobo$16b2obo2bo2b2o$16b2obobo$20bo6$33bo3bo$27b2o5b
3o$27bobo$29bo2bo5bo$28b2obobo3bobo$31bobo3bobo$23b2o3b3obob2ob2o$21bo
2bo2bo2bobobobo$21b2o4b3o2bobobo$19b2o2b4o5bobobob2o$20bobo4b5o2bobob
2o$19bo2b2o2bo7bobo$19bobo4b2o2b4o2bo$17b2obob2o5bo6b2o$16bo3bo3bo5b2o
$15bob3obobobo5bo$14bobo4bobo2bo2bo$14bobob4o2bob5o$12b2o2bobo3bobo$
11bo2b2o4b3o2b4o$12bo3b4o3b2o3bo$13b2o5b3o2b3o$14bob2obo2bo2bo$14bo2bo
bobo$15b2o3bo6$33bo3bo$28bo5b3o$27bobo$27bobo2bo5bo$28b2obobo3bobo$31b
obo3bobo$22b2o4b3obob2ob2o$21bo2bo2bo2bobobobo$21bobo3b3o2bobobo$19b2o
2b4o5bobobob2o$20bobo4b5o2bobob2o$19bo2b2o2bo7bobo$19bobo4b2o2b4o2bo$
17b2obob2o5bo6b2o$16bo3bo3bo5b2o$15bob3obobobo5bo$14bobo4bobo2bo2bo$
11bo2bobob4o2bob5o$11b3o2bobo3bobo$14b2o4b3o2b4o$13bo2b4o3b2o3bo$14bo
5b3o2b3o$15b3obo2bo2bo$17bobobo$20bo6$33bo3bo$29b2o3b3o$30bo$28bobobo
5bo$28b2obobo3bobo$31bobo3bobo$23b2o3b3obob2ob2o$23b2o2bo2bobobobo$19b
2o6b3o2bobobo$20bo2b4o5bobobob2o$18bobobo4b5o2bobob2o$17bobo2b2o2bo7bo
bo$17bobobo4b2o2b4o2bo$13b2o3bobob2o5bo6b2o$14bo5bo3bo5b2o$14bob4obobo
bo5bo$13b2obo4bobo2bo2bo$10bobo3bob4o2bob5o$10b2ob2obobo3bobo$13bobo4b
3o2b4o$13bo2b4o3b2o3bo$12b2o6b3o2bobo$14b4obo2bo2b2o$14bo2bobobo$20bo
6$33bo3bo$29b2o3b3o$30bo$28bobobo5bo$28b2obobo3bobo$31bobo3bobo$22b2o
4b3obob2ob2o$21bo2bo2bo2bobobobo$21bobo3b3o2bobobo$19b2o2b4o5bobobob2o
$20bobo4b5o2bobob2o$19bo2b2o2bo7bobo$19bobo4b2o2b4o2bo$17b2obob2o5bo6b
2o$16bo3bo3bo5b2o$16b4obobobo5bo$19bobobo2bo2bo$16b2o2b2o2bob5o$16bo5b
obo$17b6o2b4o$23b2o3bo$17b6o2bo$17bo2bo3b2o6$33bo3bo$29b2o3b3o$30bo$
28bobobo5bo$28b2obobo3bobo$31bobo3bobo$22b2o4b3obob2ob2o$21bo2bo2bo2bo
bobobo$21bobo3b3o2bobobo$19b2o2b4o5bobobob2o$20bobo4b5o2bobob2o$19bo2b
2o2bo7bobo$19bobo4b2o2b4o2bo$20bob2o5bo6b2o$16bobobo3bo5b2o$12b2obob3o
bobobo5bo$13bobo5bobo2bo2bo$12bo3bob4o2bob5o$13b2obobo3bobo$14bobo3b3o
2b4o$14bob4o3b2o3bo$11b2obo5b3o2bo$11bo2b6o4b2o$12b2o5bo2b2o$14b4o5bo$
14bo3b5o$15b2o$17b2obo$17bob2o6$33bo3bo$29b2o3b3o$30bo$28bobobo5bo$28b
2obobo3bobo$31bobo3bobo$23b2o3b3obob2ob2o$23b2o2bo2bobobobo$19b2o6b3o
2bobobo$20bo2b4o5bobobob2o$20bobo4b5o2bobob2o$18b2o2b2o2bo7bobo$17bobo
bo4b2o2b4o2bo$17bo2bob2o5bo6b2o$18bobo3bo5b2o$19bobobobo5bo$21bobo2bo
2bo$20b2o2bob5o$22bobo$22bo2b2obo$23bobob2o$24bo6$33bo3bo$29b2o3b3o$
30bo$28bobobo5bo$28b2obobo3bobo$31bobo3bobo$22b2o4b3obob2ob2o$21bo2bo
2bo2bobobobo$21bobo3b3o2bobobo$19b2o2b4o5bobobob2o$17bo2bobo4b5o2bobob
2o$17b2o3b2o2bo7bobo$21bo4b2o2b4o2bo$20bob2o5bo6b2o$18b3o3bo5b2o$17bo
3bobobo5bo$17b2o2bobo2bo2bo$20b2o2bob5o$13bo3b3o2bobo$12bobobo3b3o2b2o
bo$12bobob3o4b2o2b2o$11b2obo4b4o2bo$9bo2bob3o2bo2bobo$9b2o2bo3bobobo2b
2o$14b4obobobo$9b5o5bo2b2o$9bo5b3obo$10b5o3bo$12bo2bobo$15b2o6$33bo3bo
$29b2o3b3o$30bo$28bobobo5bo$28b2obobo3bobo$31bobo3bobo$23b2o3b3obob2ob
2o$21bo2bo2bo2bobobobo$21b2o4b3o2bobobo$19b2o2b4o5bobobob2o$20bobo4b5o
2bobob2o$19bo2b2o2bo7bobo$12b2o5bobo4b2o2b4o2bo$11bo2bo2b2obob2o5bo6b
2o$11bobo2bobobo3bo5b2o$10b2ob4o2bobobobo5bo$17b2o2bobo2bo2bo$10b6o3b
3o2bob5o$10bo5b3o3bobo$11b5o3b4o2b4o$16b3o4b2o3bo$13b3o4b3o2bo$12bo2bo
b3o3b2o$12b2o2bo3b2o$17bo2bo$18bobo$19bo6$33bo3bo$27b2o5b3o$27bobo$29b
o2bo5bo$28b2obobo3bobo$31bobo3bobo$23b2o3b3obob2ob2o$23b2o2bo2bobobobo
$19b2o6b3o2bobobo$20bo2b4o5bobobob2o$20bobo4b5o2bobob2o$18b2o2b2o2bo7b
obo$17bobobo4b2o2b4o2bo$9b2ob2o2bo3bob2o5bo6b2o$10bobo4b2obo3bo5b2o$
10bo2b4o2bobobobo5bo$9b2o6b2o2bobo2bo2bo$8bo2b5o3b3o2bob5o$9bo6b3o3bob
o$10b6o3b4o2b4o$16b3o4b2o3bo$12b4o4b3o2bo$12bo2bob3o4b2o$16bo3bo$14bob
o2b2o$14b2o6$33bo3bo$29b2o3b3o$30bo$28bobobo5bo$28b2obobo3bobo$31bobo
3bobo$23b2o3b3obob2ob2o$18b2o3b2o2bo2bobobobo$14bo3bobo6b3o2bobobo$13b
obo4bo2b4o5bobobob2o$13bobo3b2obo4b5o2bobob2o$12b2ob2o2bo2b2o2bo7bobo$
11bo2bo2bobobo4b2o2b4o2bo$9bo2b2o2b2o2bob2o5bo6b2o$9b2obo5bobo3bo5b2o$
10bo2b4o2bobobobo5bo$10bo6b2o2bobo2bo2bo$11b5o3b3o2bob5o$16b3o3bobo$9b
7o3b4o2b4o$9bo6b3o4b2o3bo$12b4o4b3o2bo$12bo2bob3o4b2o$16bo3bo$17bobo$
16b2ob2o6$33bo3bo$27b2o5b3o$27bobo$29bo2bo5bo$28b2obobo3bobo$31bobo3bo
bo$22b2o4b3obob2ob2o$21bo2bo2bo2bobobobo$21bobo3b3o2bobobo$19b2o2b4o5b
obobob2o$12b2o6bobo4b5o2bobob2o$13bo5bo2b2o2bo7bobo$11bo7bobo4b2o2b4o
2bo$11b2o7bob2o5bo6b2o$14b2o2bobo3bo5b2o$11b3obo2b2obobobo5bo$10bo10bo
bo2bo2bo$10b2o6b4o2bob5o$12bo5bo3bobo$10b2obo5b4o2b4o$11bobo2bo6b2o3bo
$11bob4o4b2o2bo$12bo9bob2o$13b4o5bo$15bo5b2o$17bo$16b2o6$33bo3bo$29b2o
3b3o$30bo$28bobobo5bo$28b2obobo3bobo$31bobo3bobo$23b2o3b3obob2ob2o$21b
o2bo2bo2bobobobo$21b2o4b3o2bobobo$19b2o2b4o5bobobob2o$20bobo4b5o2bobob
2o$19bo2b2o2bo7bobo$12b2o5bobo4b2o2b4o2bo$12bo7bob2o5bo6b2o$14bo3bobo
3bo5b2o$13b2o3b2obobobo5bo$21bobo2bo2bo$6b2o10b4o2bob5o$6bo2bob2o5bo3b
obo$7b3obobo5b4o2b4o$11bobo2bo6b2o3bo$9b3ob4o4b2o2bo$8bo3bo9bob2o$8b2o
2bob3o5bo$13bobo5b2o$17bo$16b2o6$33bo3bo$29b2o3b3o$30bo$28bobobo5bo$
28b2obobo3bobo$31bobo3bobo$22b2o4b3obob2ob2o$21bo2bo2bo2bobobobo$21bob
o3b3o2bobobo$19b2o2b4o5bobobob2o$20bobo4b5o2bobob2o$19bo2b2o2bo7bobo$
12b2o5bobo4b2o2b4o2bo$12bo7bob2o5bo6b2o$14bo3bobo3bo5b2o$13b2o3b2obobo
bo5bo$21bobo2bo2bo$6b2o10b4o2bob5o$3bo2bo2bob2o5bo3bobo$2bobobob2obobo
5b4o2b4o$3bo2bo4bobo2bo6b2o3bo$6bob4ob4o4b2o2bo$7bo4bo9bob2o$9bo2bob3o
5bo$8b2o3bobo5b2o$17bo$16b2o6$33bo3bo$27b2o5b3o$27bobo$29bo2bo5bo$28b
2obobo3bobo$31bobo3bobo$22b2o4b3obob2ob2o$21bo2bo2bo2bobobobo$6b2o13bo
bo3b3o2bobobo$7bo11b2o2b4o5bobobob2o$5bo14bobo4b5o2bobob2o$5b5o9bo2b2o
2bo7bobo$9bo2b2o5bobo4b2o2b4o2bo$5b2o5bo7bob2o5bo6b2o$4bobo7bo3bobo3bo
5b2o$4bo8b2o3b2obobobo5bo$3b2o16bobo2bo2bo$4bob2o10b4o2bob5o$3bo2bo2bo
b2o5bo3bobo$3b2obob2obobo5b4o2b4o$6bo4bobo2bo6b2o3bo$6bob4ob4o4b2o2bo$
7bo4bo9bob2o$9bo2bob3o5bo$8b2o3bobo5b2o$17bo$16b2o6$33bo3bo$27b2o5b3o$
27bobo$29bo2bo5bo$28b2obobo3bobo$31bobo3bobo$22b2o4b3obob2ob2o$21bo2bo
2bo2bobobobo$21bobo3b3o2bobobo$19b2o2b4o5bobobob2o$20bobo4b5o2bobob2o$
19bo2b2o2bo7bobo$19bobo4b2o2b4o2bo$17b2obob2o5bo6b2o$18bobo3bo5b2o$16b
o2bobobobo5bo$16b3o2bobo2bo2bo$19b3o2bob5o$14b5o3bobo$13bo5b4o2b2obo$
13b6o4b2o2b2o$20b3o2bo$13b2ob4o2bobo$14bobo2bo3bo$14bo2bo$15b2o6$33bo
3bo$28bo5b3o$27bobo$27bobo2bo5bo$28b2obobo3bobo$31bobo3bobo$23b2o3b3ob
ob2ob2o$23b2o2bo2bobobobo$19b2o6b3o2bobobo$20bo2b4o5bobobob2o$20bobo4b
5o2bobob2o$18b2o2b2o2bo7bobo$17bobobo4b2o2b4o2bo$17bo2bob2o5bo6b2o$18b
obo3bo5b2o$15bo3bobobobo5bo$15b4o2bobo2bo2bo$19b3o2bob5o$13b6o3bobo$
12bo6b4o2b4o$11bo2b5o4b2o3bo$12b2o6b3o2bo$13bo2b4o4b2o$13bobo4bo$12b2o
b2o2b2o6$33bo3bo$28bo5b3o$27bobo$27bobo2bo5bo$28b2obobo3bobo$31bobo3bo
bo$23b2o3b3obob2ob2o$23b2o2bo2bobobobo$19b2o6b3o2bobobo$20bo2b4o5bobob
ob2o$20bobo4b5o2bobob2o$18b2o2b2o2bo7bobo$17bobobo4b2o2b4o2bo$17bo2bob
2o5bo6b2o$18bobo3bo5b2o$15bo3bobobobo5bo$15b4o2bobo2bo2bo$12bo6b3o2bob
5o$12b7o3bobo$19b4o2b4o$14b5o4b2o3bo$13bo6b3o2bo$13bo2b4o4b2o$12b2obo
4bo$12bo2b2o2bobo$14bo2bo2bo$15b2ob2o$16bobo$16bobo$17bo6$33bo3bo$29b
2o3b3o$30bo$28bobobo5bo$28b2obobo3bobo$31bobo3bobo$23b2o3b3obob2ob2o$
6bo14bo2bo2bo2bobobobo$4b3o14b2o4b3o2bobobo$3bo5bo9b2o2b4o5bobobob2o$
4bob4o10bobo4b5o2bobob2o$3b2obo12bo2b2o2bo7bobo$3bo2bob4o7bobo4b2o2b4o
2bo$4b3obo2b3o6bob2o5bo6b2o$b3o10bo3bobo3bo5b2o$o3bo8b2o3b2obobobo5bo$
bo2bo16bobo2bo2bo$2bobob2o10b4o2bob5o$3b2obo2bob2o5bo3bobo$6bob2obobo
5b4o2b4o$6bo4bobo2bo6b2o3bo$5b2ob4ob4o4b2o2bo$7bo4bo9bob2o$7bobo2bob3o
5bo$8b2o3bobo5b2o$17bo$16b2o6$33bo3bo$29b2o3b3o$30bo$28bobobo5bo$28b2o
bobo3bobo$31bobo3bobo$22b2o4b3obob2ob2o$21bo2bo2bo2bobobobo$21bobo3b3o
2bobobo$9b2o8b2o2b4o5bobobob2o$8bo2bobo6bobo4b5o2bobob2o$8bob2ob3o3bo
2b2o2bo7bobo$6b3o2bo4bo2bobo4b2o2b4o2bo$5bo3bobob3o4bob2o5bo6b2o$5bobo
bobobo4bobo3bo5b2o$6b3o3bo5b2obobobo5bo$21bobo2bo2bo$6b3o9b4o2bob5o$5b
obobob2o5bo3bobo$5bo3bobobo5b4o2b4o$6b3o2bobo2bo6b2o3bo$9b3ob4o4b2o2bo
$8bo3bo9bob2o$8b2o2bob3o5bo$13bobo5b2o$17bo$16b2o6$33bo3bo$27b2o5b3o$
27bobo$29bo2bo5bo$28b2obobo3bobo$31bobo3bobo$8b2o13b2o3b3obob2ob2o$9bo
11bo2bo2bo2bobobobo$8bo12b2o4b3o2bobobo$8b4o7b2o2b4o5bobobob2o$11bo8bo
bo4b5o2bobob2o$5bo2b2o9bo2b2o2bo7bobo$5b4ob4o5bobo4b2o2b4o2bo$3b2o5bo
2bo6bob2o5bo6b2o$4bo2b2obo7bobo3bo5b2o$4bobob2o8b2obobobo5bo$5bo15bobo
2bo2bo$18b4o2bob5o$8b2ob2o5bo3bobo$7bobobobo5b4o2b4o$5b3o3bobo2bo6b2o
3bo$4bo4bobob4o4b2o2bo$4bob2ob2obo9bob2o$5bo2bo3bob3o5bo$6bobo3b2obo5b
2o$7bo9bo$16b2o6$33bo3bo$28bo5b3o$27bobo$27bobo2bo5bo$28b2obobo3bobo$
31bobo3bobo$22b2o4b3obob2ob2o$21bo2bo2bo2bobobobo$21bobo3b3o2bobobo$6b
2o11b2o2b4o5bobobob2o$7bo12bobo4b5o2bobob2o$5bo13bo2b2o2bo7bobo$5b5o9b
obo4b2o2b4o2bo$3b2o5bo9bob2o5bo6b2o$4bo2b2obo7bobo3bo5b2o$4bobob2o8b2o
bobobo5bo$5bo15bobo2bo2bo$18b4o2bob5o$8b2ob2o5bo3bobo$4bo2bobobobo5b4o
2b4o$4b4o3bobo2bo6b2o3bo$9bobob4o4b2o2bo$6b2ob2obo9bob2o$7bo4bob3o5bo$
5bobo4b2obo5b2o$5b2o10bo$16b2o6$33bo3bo$29b2o3b3o$30bo$28bobobo5bo$28b
2obobo3bobo$31bobo3bobo$23b2o3b3obob2ob2o$21bo2bo2bo2bobobobo$21b2o4b
3o2bobobo$4b2o5b2o6b2o2b4o5bobobob2o$5bo2b2o2bo7bobo4b5o2bobob2o$5bobo
2b2o7bo2b2o2bo7bobo$6bobo10bobo4b2o2b4o2bo$8bob2o8bob2o5bo6b2o$7bo2b2o
6bobo3bo5b2o$7b2o9b2obobobo5bo$21bobo2bo2bo$18b4o2bob5o$8b2ob2o5bo3bob
o$4bo2bobobobo5b4o2b4o$4b4o3bobo2bo6b2o3bo$9bobob4o4b2o2bo$6b2ob2obo9b
ob2o$5bobo4bob3o5bo$5bobo4b2obo5b2o$6bo10bo$16b2o6$33bo3bo$28bo5b3o$
27bobo$27bobo2bo5bo$28b2obobo3bobo$31bobo3bobo$22b2o4b3obob2ob2o$15bo
5bo2bo2bo2bobobobo$14bobo4bobo3b3o2bobobo$14bobo2b2o2b4o5bobobob2o$13b
2ob2o2bobo4b5o2bobob2o$17bobo2b2o2bo7bobo$13b2obo2bobo4b2o2b4o2bo$13b
2obobobob2o5bo6b2o$17bo2bo3bo5b2o$18b2obobobo5bo$21bobo2bo2bo$8b2o8b4o
2bob5o$8bo2b2o5bo3bobo$9bobobo5b4o2b4o$7bobobobo2bo6b2o3bo$6bobob2ob4o
4b2o2bo$6bobo3bo9bob2o$7b2o3bob3o5bo$13bobo5b2o$17bo$16b2o6$33bo3bo$
27b2o5b3o$27bobo$29bo2bo5bo$28b2obobo3bobo$31bobo3bobo$22b2o4b3obob2ob
2o$21bo2bo2bo2bobobobo$21bobo3b3o2bobobo$19b2o2b4o5bobobob2o$16bo3bobo
4b5o2bobob2o$14b3o2bo2b2o2bo7bobo$13bo5bobo4b2o2b4o2bo$13b2o5bob2o5bo
6b2o$18bobo3bo5b2o$18b2obobobo5bo$21bobo2bo2bo$8b2o8b4o2bob5o$8bo2b2o
5bo3bobo$9bobobo5b4o2b4o$7bobobobo2bo6b2o3bo$6bobob2ob4o4b2o2bo$6bobo
3bo9bob2o$7b2o3bob3o5bo$13bobo5b2o$17bo$16b2o!
oregano_0 — 06/27/2024 3:53 PM (sample from the above RLE)

Code: Select all

x = 34, y = 27, rule = B3/S23
27bo3bo$21b2o5b3o$21bobo$23bo2bo5bo$22b2obobo3bobo$25bobo3bobo$16b2o4b
3obob2ob2o$15bo2bo2bo2bobobobo$15bobo3b3o2bobobo$13b2o2b4o5bobobob2o$
10bo3bobo4b5o2bobob2o$8b3o2bo2b2o2bo7bobo$7bo5bobo4b2o2b4o2bo$7b2o5bo
b2o5bo6b2o$12bobo3bo5b2o$12b2obobobo5bo$15bobo2bo2bo$2b2o8b4o2bob5o$2b
o2b2o5bo3bobo$3bobobo5b4o2b4o$bobobobo2bo6b2o3bo$obob2ob4o4b2o2bo$obo
3bo9bob2o$b2o3bob3o5bo$7bobo5b2o$11bo$10b2o!
apgoucher — 06/27/2024 3:58 PM
Well this is new and possibly exciting:

Code: Select all

x = 32, y = 31, rule = B3/S23
bo$2bo$3o6$14b2o$14bo10bo$16bob2o4bobo$15b3obo4bobo$19bob2ob2o$15b4obo
bo$10bo4bo2bobo3b2o$10b3o5bobobobo2bo$13bo5b2ob2o2b2o$10b4o$10bo$11bo
10b2o$10b2o9bo2bo$21bobo$22bo7b2o$25b2obo2bo$24bobob3o$19b2o3bobo$19bo
2bobob3o$20b4obo3bo$25bo2b2o$22bobo$22b2o!
especially considering the fact that this can come from a double 2c/3 signal and a bunch of other sources

iNoMed — 06/27/2024 4:17 PM
including the p35 thing no?

apgoucher — 06/27/2024 4:22 PM
Lots of things -- and there are a few interesting post-loaf connections as well:

Code: Select all

x = 67, y = 46, rule = B3/S23
6bo2bo$4b6o$2obo$2obobob5o$3bobo6bo$3bobo2b5o$4b2obo7bo$7bo2b6o$7bobo$
6b2obo2b6o$9bobo6bo$9bobo2b5o$10b2obo7bo$13bo2b6o$13bobo$12b2obo2b6o
29b2o2b2o$15bobo6bo29bo2bo$15bobo2b5o27bo5bo2b2o$16b2obo7bo23bob5obo2b
o$19bo2b6o23bo5bob2obob2o$19bobo8b2o3b2o11b2obob2o2bo2bobo2bo$18b2obo
2b4o2bobo2bo12bo2bo2bo3b2o3bo$21bobo4bobo2bobo14bobo6bob2o$21bobo2b2ob
obob2o13bob2o7bobo$20b2obobo3bobo15bobo4bob2obobo$23bobob2obob3o4b2o6b
o2b5obobobob2o$23b2obobobobo2bo2bo2bo4b2o8bobobo2bo$26bobobo2b3o3bobo
10b4obobobo2b2o$26bobobo5b4o2b2o8bo2bobobob2obobo$23b2obobo2b5o4bobo
12bobobo4bobo$24bobobo7bo2b2o2bo12b2ob4o2bo$24bobo2b4o2b2o4bobo9bo9b2o
$25b2o6bo5b2obo9bobo6b2o$31b2o5bo3bobo7bo2bo6bo$31bo5bobobob2o8b2o6bo$
33bo2bo2bobo18bo$32b5obo2b4o14bo$38bobo3bo5b2ob2o3bo$34b4o2b4o5bobobob
obo$34bo3b2o6bo2bobo3b2o$37bo2b2o4b4obobo$37b2obo9bob2ob2o$40bo5b3obo
3bo2bo$40b2o5bob2o3bobo$45bo9bo$45b2o!
xp3_xggk171z8e82 — 06/27/2024 4:24 PM
Doesn't post-loaf go back into known territory?
>:(

Code: Select all

x = 19, y = 19, rule = B3/S23
7b2o$6bobo$2b2o2bo$2bobob2o$4bo$4b4o$2b2o3bo$bo2b3o$o2bo5b3o$2ob2o3bob
2o$3bo5bo7b2o$3bobo6b2obo2bo$4b2o5bobob3o$6b2o3bobo$6bo2bobob3o$7b4obo
3bo$12bo2b2o$9bobo$9b2o!
apgoucher — 06/27/2024 4:30 PM
to hopefully expand this territory! If a loaf is able to act as a semitransparent bait, then maybe there's a fully transparent bait attachment that gets us straight out of drifterworld into more familiar 'active object and catalysts' world, and maybe even get a glider out of that.

Hdjensofjfnen — 06/27/2024 4:30 PM
So the goal is to get from a dense signal medium to a sparse signal medium?

apgoucher — 06/27/2024 4:31 PM
That's a result that would be very exciting indeed, yes! I'd be happy with either that or producing another 2c/3 signal.

xp3_xggk171z8e82 — 06/27/2024 4:32 PM
See the thing is, right now it's going right back to a drifter catalyst (and variants), which doesn't seem like it's going to lead to anything new on its own.

apgoucher — 06/27/2024 4:34 PM
Sure... but Silk was able to find the Thessalonic G-to-W, and internally it doesn't distinguish between dense and sparse media. So it's likely already doing bait-and-catalysts searching on the activity thrown off by this attachment, and just needs a larger search space in order to find something that cleanly restores that bait.

xp3_xggk171z8e82 — 06/27/2024 4:34 PM
Makes sense

apgoucher — 06/27/2024 4:47 PM
...also, this particular loaf-flipping interaction did require 18 active cells in order to discover -- in this generation there are 9 green (currently on, off in background) and 9 red (currently off, on in background) cells:
loaf-flip-illustration.png
loaf-flip-illustration.png (136.84 KiB) Viewed 728 times
apgoucher — 06/27/2024 4:54 PM
Oh! It looks like @googoIpIex had discovered this loaf-flip before, and Silk only rediscovered it now when it found a corresponding catalyst to restore it.

apgoucher — 06/28/2024 5:00 AM
At 14 14 18 I found a connection between a glider eating mechanism and this particular family of fizzles, which hitherto has required either a 2c/3 signal or TL as input:

Code: Select all

x = 45, y = 42, rule = LifeHistory
28.A$27.2BA$27.3AB$28.4B7.2E$29.4B6.E.E$30.4B7.E$31.4B5.CE.2E$32.5B.
2B.E.2E$28.2E3.4B.BC.E$28.E.E3.3B3CBE$30.E5.CB4.2E$8.2E2.2E16.2E3.B3C
2E.E$9.E2.E19.B2.3B.E2.E$4.2E2.E5.E13.3EC.3B2C3.E$4.E2.E.5E.E11.E3.C
3BC2.3E$.2E.E.2E.C3.B.E11.E.2E.2B.2E.E$.E2.E.E2.C2B2C.E.2E7.2E.E2.B2C
2.E$3.E3.ECB.BC2BE2.E10.E.BC2B.E$4.2E.E.5BC.E12.E.E.2C.2E$5.E.E.6B2E.
E9.2E.E.C.E$5.E.E.2CBC4.E.E6.E4.E.C.E$3.2E.E.E.CB5E2.E5.E.3E.E.CB.2E$
3.E2.E.CBC8.2E3.E.E3.E.CBC.E.E$.2E2.E.EBC.4E9.E3.E.E.C.C.C2.E$E.E.2E.
C.C.E2.E7.E.E2.2EBCBCBCBC3E$E.E.B.BCBEBC8.3E.E.E2.C2BCBC$.E2.4C.2C.B
6.E3.E2.2E4BC.CB2E$2.2E2.7BE5.2E2.E.E2.B.BCEBE2.E$4.2E5.BC.E9.E.EC.B.
2B2.E.E.2E$4.E6.C2BCB6.E.E.2BC2B2C.2E.E.2E$5.E6.2C2.B5.2E.E.C.C2.E.E
2.E$6.E6.5B7.E.E2B2E2.E.2E$7.E5.6B3.4E2.C.E3.E$8.E3.2C.2C2B2.BC3.CBC
3.E.E$9.E.EBCBCBC2B.2B4C2.3E.E$10.2E.B.C.C.BC4B2.2E3.E$13.E.E.ECEC.B
2.2E2.E.E$10.2E.2E.E4.B4.E.2E.2E$9.E2.E3.E.3E5.E$10.E.E3.2E.E5.2E$11.
E9.E$20.2E!
-------------------------------------------------------
whatislife — 06/28/2024 9:30 PM
Silk vs. 2-glider mess, leaving exit lanes free if one is missing: a) the most simple eater it found b) particularly long-lived spark c) what I was looking for, AND gate, exit glider leaves on a different lane

Code: Select all

x = 171, y = 48, rule = LifeHistory
8$156.2A$135.A20.A$136.A17.A.A$78.2A54.3A17.2A$78.2A3$17.2A135.2A$17.
2A53.A81.A.A$73.A82.A$71.3A64.A17.2A$10.A127.2A$11.A125.A.A$9.3A52.2A
$64.2A$91.2A$91.A$75.A16.3A$29.2A34.A9.2A17.A$29.A34.A.A7.A.A60.A$13.
A16.3A32.A70.A.A.A$13.2A17.A103.A.A.3A$12.A.A122.A.A3.A$139.A2.A$139.
A.A$140.A$74.A$73.A.A.A2.A2.2A$73.A.A.4A2.A$74.2A8.3A$77.2A7.A$74.3A.
A$74.A!
whatislife — 06/29/2024 1:33 AM
I believe this static time-dependent AND gate is new according to this post and following viewtopic.php?f=2&t=6186&p=187993&hilit ... te#p187993 please correct me if I am mistaken so I can crosspost. Found by feeding Silk a head-on 2G collision that gives a B-hep while keeping exit lanes clear. Unlike the head-on AND gate based on moose antlers in the thread, this one has input gliders that are the same color. As it happens it is color preserving.

Code: Select all

x = 72, y = 71, rule = LifeHistory
65.2C$65.C$63.C.C$21.2C31.A7.C.C$21.C30.3A3.2C3.C5.B$19.C.C29.A6.2C8.
4B$10.A7.C.C30.2A14.4B$8.3A3.2C3.C5.B40.4B$7.A6.2C8.4B20.2A5.2A8.4B$
7.2A14.4B21.A.A4.2A7.4B$22.4B23.2A12.4B$4.2A5.2A8.4B37.D3B$4.A.A4.2A
7.4B37.D3B$5.2A12.4B38.3D$18.E3B$17.E3B$17.3E26.2A5.2E$45.A.A4.2B2E$
45.A5.2BEB$2.2A5.2D33.2A4.4B$.A.A4.2B2D37.4B$.A5.2BDB37.4B$2A4.4B37.
4B$5.4B37.4B$4.4B37.4B$3.4B39.2B$2.4B49.2C$.4B46.C3.2C$2.2B46.C.C$11.
2C36.C.C$7.C3.2C36.C$6.C.C39.2C$5.C.C$5.C$4.2C5$39.2C$39.C$37.C.C$28.
A7.C.C$26.3A3.2C3.C5.B$25.A6.2C8.4B$25.2A14.4B$40.4B$22.2A5.2A8.4B$
22.A.A4.2A7.4B$23.2A12.4B$36.E3B$35.E3B$35.3E3$20.2A5.2E$19.A.A4.2B2E
$19.A5.2BEB$18.2A4.4B$23.4B$22.4B$21.4B$20.4B$19.4B$20.2B$29.2C$25.C
3.2C$24.C.C$23.C.C$23.C$22.2C!
EDIT: This is kinda known, it's BLx19R, or rather BNW5T30 with the south eater positioned a little further from the south glider's lane for better clearance.
Hdjensofjfnen — 07/01/2024 11:04 AM
Happy to report that Silk refinds this in about ~20 seconds with my parameters:

Code: Select all

x = 30, y = 16, rule = B3/S23
2bo$o3bo$5bo$o4bo$b5o3$23bo$19bo2bobo$17b3o2bobo3b2o$16bo6bo5bo$16b2o
8b3o$25bo$24bob3o$24bo3bo$23b2o!
whatislife — 07/06/2024 4:30 PM
feeding Silk more spaceships... top row, stuff not on the wiki: 135-degree 25P3H1V0.1 to glider, 25P3H1V0.1 eater, 25P3H1V0.2 eater
bottom row, other finds: 30P5H2V0 eater with a funny transparent block, failed 45-degree copperhead-to-glider (135-degree is on the wiki)

Code: Select all

x = 130, y = 92, rule = LifeHistory
11$18.2A88.A$18.2A8.A31.2A9.A19.2A13.3A$26.3A31.2A7.3A19.A.A11.A$25.A
42.A23.A12.2A$25.2A41.2A3$15.A.2A41.2A.A35.3A.2A$11.3A.2A.A.2A35.2A.A
.2A.3A29.2A4.2A$10.A6.2A2.4A29.4A2.2A6.A27.A3.A.A2.A$11.2A3.A3.A4.A
27.A4.A3.A3.2A23.3A2.3A$23.2A29.2A34.A.A.3A$91.A4.A$94.2A28$46.A28.2A
$44.3A27.A2.A5.2A$43.A31.2A2.2A.A.A$43.2A32.2A.A.A10.A$77.A3.2A9.A.A$
74.2A.A7.3D4.A.A$25.2A2.2C43.A2.2A8.D3.2A.3A$24.A.A2.2C41.A.A.A9.D10.
A$24.A47.2A.A.2A12.2A.3A$23.2A50.A2.A12.2A.A$35.A39.2A$34.3A$33.2A.2A
45.4A8.A$93.3A$32.A.A.A.A2.A41.A2.A5.A$31.2A3.A3.3A39.A.2A.A5.A$31.2A
3.A6.A29.2A7.A4.A4.2A$41.A.A29.2A$39.A.A40.A4.A$40.A2.A38.2A2.2A$43.A
38.6A$83.A2.A$84.2A$84.2A!
whatislife — 07/09/2024 3:10 AM
I was feeding Silk junk (scribbles of mixed lifehistory cells) and letting it solve for oscillators - it found a p13 that is ONE cell more than SKOP after going through rstatoropt :cursed: plus other stuff I liked: p11 dot sparker, (trivial) p18, and two related p15 billiard tables

Code: Select all

x = 189, y = 45, rule = B3/S23
12$14b2o29b2o$15bo30bo44bo45b2o26b2o$14bo29bo44b5o42bob3o23bo2bo$14b4o
26b2o42bo5bobo37b3o4bo21bob2obo$12b2o4bo28bo39bobo2b2ob2o36bo3b3o2bo
18b3o4bo$11bo2bob3o25b3o2bo37bobobobo39b4o3b2o18bo3b3o2b2o$11b2ob2o27b
o2bo39b2obobobo37b2o5b2o2b3o15b4o3b2o2bo$16b3o23bobo8b2o30bo5b2o37bo2b
3o3bobo2bo13b2o5b2o2b2o$10bob2obo2bo23bo2bo5bo2bo29bobobobo40bobobobob
obo15bo2b3o3bobo$10b2obob3o22b2ob2obo4b2o30bo2bobobo41bo2bobob2o17bobo
bobobobo$14bo26bobo4bo35b2o3bo43b2obobo20bo2bobob2o$15bo25bobo42b3o47b
obo21b2obobo$14b2o26bo43bo49b2o25bobo$163b2o!
Hdjensofjfnen — 08/07/2024 2:13 PM
Bizarre and extremely specific Silk find:

Code: Select all

x = 13, y = 13, rule = B3/S23
8b2o$2o3b2o2bo$2o2bobobo$4bobob2o$4obobo$o2bobobob3o$3bobobobo2bo$4b2o
b2o2b2o2$2bo$bob3o$o2b2o$2b2o!
You can probably guess what I did wrong when setting up my search

apgoucher — 9/23/2024 at 3:13 PM
Here's a disappointing result from the biggest Silk search I've tried so far (93 hours on 8x4090, traversing 57 trillion nodes):
+---------+------------------------------------+---------+---------+-------------------+-----------------------------+
| elapsed | problems | current | rollout | speed (Mprob/sec) | solutions |
| clock +----------------+-------------------+ batch | per +---------+---------+---------+---------+---------+
| time | solved | open (pct full) | size | problem | current | overall | recover | oscill. | fizzles |
+---------+----------------+-------------------+---------+---------+---------+---------+---------+---------+---------+
| 89 h | 54653370288471 | 6828684 (10.18%) | 4128768 | 8.240 | 171.483 | 170.579 | 0 | 0 | 24 |
| 90 h | 55271426679519 | 6292188 ( 9.38%) | 4108280 | 8.240 | 171.682 | 170.591 | 0 | 0 | 24 |
| 91 h | 55894096068271 | 5917268 ( 8.82%) | 4128768 | 8.239 | 172.964 | 170.617 | 0 | 0 | 24 |
| 92 h | 56531389854117 | 4978672 ( 7.42%) | 4128768 | 8.238 | 177.026 | 170.687 | 0 | 0 | 24 |
| 93.00 h | 57170475431967 | 0 ( 0.00%) | 354 | 8.237 | 177.885 | 170.764 | 0 | 0 | 24 |
+---------+----------------+-------------------+---------+---------+---------+---------+---------+---------+---------+

RLE enclosed:

Code: Select all

x = 38, y = 826, rule = B3/S23
bo$2bo$3o6$14b2o$14bo$16bo$15b4o$19bo$15b4obo$10bo4bo2bobo$10b3o5bob2o
$13bo5bo$10b4o6b2o$10bo10bo$11bo4bob3o$10b2o4b2o$19b2o$20bo$18bo$18b2o
6$bo$2bo$3o6$14b2o$14bo$16bobo3b2o$15b3obo2bo$19bo4bo$15b4ob4obo$10bo
4bo2bobo4bo2bo$10b3o5bobob2obobobo$13bo5b2obo2bo2bo$10b4o10b2o$10bo$
11bo5b2o$10b2o5bo$18bo$17b2o6$bo$2bo$3o6$14b2o$14bo$16bobo$15b3obo2b2o
$19bo3bo$15b4ob3o$10bo4bo2bobo2b3o$10b3o5bobobo3bo$13bo5b2obobobo$10b
4o9b3o$10bo$11bo7bo3b3o$10b2o6bobobobobo$16b3obobo3bo$15bo4bo2b3o$16b
3ob2obo$18bobo2bo$21b2o6$bo$2bo$3o6$14b2o$14bo$16bobo$15b3obo2b2o$19bo
3bo$15b4ob3o$10bo4bo2bobo$10b3o5bobob3o$13bo5b2obo2bo$10b4o10b2o$10bo$
11bo5b2o$10b2o5bo$19bo$18b2o6$bo$2bo$3o6$14b2o$14bo$16bobo3b2o$15b3obo
2bo$19bo4bo$15b4ob4obo$10bo4bo2bobo4bo$10b3o5bobob2obob2o$13bo5b2obo2b
o2bo$10b4o10b2obo$10bo16b2o$11bo5b2o8bo$10b2o5bo7bobo$18bo6b2o$17b2o3b
o$22b5o$26bo$24bo$24b2o6$bo$2bo$3o6$14b2o$14bo$16bobo3b2o$15b3obo2bobo
$19bo4bo$15b4ob4ob2o$10bo4bo2bobo4bo$10b3o5bobob2obo$13bo5b2obo2bob2o$
10b4o10b2obobo$10bo16bo2bo$11bo5b2o8bo3bo$10b2o5bo10b3o$18b3o2bob3o$
20b4obo2bo$25bob2o$22b4obo$22bo5bo$25b3o$25bo6$bo$2bo$3o6$14b2o$14bo$
16bobo$15b3obo2b2o$19bo3bo$15b4ob3o$10bo4bo2bobo$10b3o5bobob3o$13bo5b
2obo2bo$10b4o10b2o$10bo$11bo$10b2o6b2o$19bo5b2o$19bob2o3bo$16b2obobo3b
o3b2o$15bobobobo3bobo2bo$12bo2bobobobobobob2o$12b4ob2obobobo$16bo3bobo
$14bobo3bobo$14b2o5bo6$bo$2bo$3o6$14b2o$14bo$16bobo3b2o$15b3obo2bo$19b
o4bo$15b4ob4obo$10bo4bo2bobo4bo2bo$10b3o5bobob2obobobo$13bo5b2obo2bo2b
o$10b4o10b2o$10bo$11bo$10b2o6b2o$19bo5b2o$19bob2o3bo$16b2obobo3bo$15bo
bobobo3bobob2o$12bo2bobobobobobob2obo$12b4ob2obobobo$16bo3bobo$14bobo
3bobo$14b2o5bo6$bo$2bo$3o6$14b2o$14bo7b2o$16bob2o3bo$15b3obo3bobo$19bo
b2ob2o$15b4obobo$10bo4bo2bobo3b4o$10b3o5bobobobo2bo$13bo5b2ob2o$10b4o$
10bo$11bo11b2o$10b2o8b2o2bo$20b2obo3b2o$23bobo2bo$20b2obob2o$19bo2bo$
20b2o6$bo$2bo$3o6$14b2o$14bo7b2o$16bob2o3bo$15b3obo3bobo$19bob2ob2o$
15b4obobo$10bo4bo2bobo3b4o$10b3o5bobobobo2bo$13bo5b2ob2o$10b4o$10bo15b
o$11bo10b2obobo$10b2o9bob2o2bo$18bo2bo5b2o$18b4ob4o$22b2o2bo$20bo$19bo
b3o$19bo3bo$18b2o6$bo$2bo$3o6$14b2o$14bo7b2o$16bob2o3bo$15b3obo3bobo$
19bob2ob2o$15b4obobo$10bo4bo2bobo3b4o$10b3o5bobobobo2bo$13bo5b2ob2o$
10b4o$10bo15bo$11bo10b2obobo$10b2o9bob2o2bo$21bo5b2o$22b5o$26bo$24bo$
24b2o6$bo$2bo$3o6$14b2o$14bo7b2o$16bob2o3bo$15b3obo3bobo$19bob2ob2o$
15b4obobo$10bo4bo2bobo3b4o$10b3o5bobobobo2bo$13bo5b2ob2o$10b4o$10bo18b
2o$11bo10b2o5bobo$10b2o9bo2bo6bo$21bobo6b2ob2o$22bo10bo$25b2ob4obo$24b
obobo3bo$24bobobob2o$22b3obobobo$21bo3bobobo2bo$21b2o2bobobob2o$26b2ob
o$29bo$29b2o6$bo$2bo$3o6$14b2o$14bo10bo$16bob2o4bobo$15b3obo4bobo$19bo
b2ob2o$15b4obobo$10bo4bo2bobo3b4o$10b3o5bobobobo2bo$13bo5b2ob2o$10b4o$
10bo18b2o$11bo10b2o5bobo$10b2o9bo2bo6bo$21bobo6b2ob2o$22bo10bo$25b2ob
4obo$24bobobo3bo$24bobobob2o$22b3obobobo$21bo3bobobo2bo$20bo2bobobobob
2o$20bob2ob2obobo$21bo2bo3bobo$22bobo3b2o$23bo6$bo$2bo$3o6$14b2o$14bo
9bo$16bob2o3bobo$15b3obo3bo2bo$19bob2ob2o$15b4obobo$10bo4bo2bobo3b2o$
10b3o5bobobobo2bo$13bo5b2ob2o2b2o$10b4o$10bo18b2o$11bo10b2o5bobo$10b2o
9bo2bo6bo$21bobo6b2ob2o$22bo10bo$25b2ob4obo$24bobobo3bo$21bo2bobobob2o
$21b4obobobo$25bobobo2bo$19b5obobobob2o$18bo4bob2obobo$17bob2o7bobo$
17bobobo6bob2o$16b2o2bo2bo3b2o3bo$18bobob2o2bo2bobo2bo$18bobo5bob2obob
2o$17b2obob5obo2bo$21bo5bo2b2o$22bob3o$23b2o6$bo$2bo$3o6$14b2o$14bo$
16bobo$15b3obo3b2o$19bo3bobo$15b4ob2obobo$10bo4bo2bobobobo$10b3o5bobob
o$13bo5b2o2bo$10b4o8b2o$10bo$11bo$10b2o$17b2o$18bo$15b3o$15bo6$bo$2bo$
3o6$14b2o$14bo$16bobo$15b3obo3b2o$19bo3bobo$15b4ob2obobo$10bo4bo2bobob
obo$10b3o5bobobo$13bo5b2o2bo$10b4o8b2o$10bo$11bo$10b2o$15bob2o$13b3ob
2o$12bo$13b3ob2o$15bobo2bo$19b2o6$bo$2bo$3o6$14b2o$14bo10b2o$16bob2o4b
obo$15b3obo4bo$19bob2ob2o$15b4obobo$10bo4bo2bobo3b2o$10b3o5bobobobobo$
13bo5b2ob2o3bo$10b4o14bo$10bo18bo$11bo10b2o6bo$10b2o9bo2bo6bo$21bobo6b
2o$22bo9b2o$25b2ob4o2bo$24bobobo4bobo$24bobobob2obobo$22b3obobobo2b2o$
21bo3bobobo2bo$21b2o2bobobob2o$26b2obo$29bo$29b2o6$bo$2bo$3o6$14b2o$
14bo9bo$16bob2o3bobo$15b3obo3bo2bo$19bob2ob2o$15b4obobo$10bo4bo2bobo3b
2o$10b3o5bobobobobo$13bo5b2ob2o3bo$10b4o14bo$10bo18bo$11bo10b2o6bo$10b
2o9bo2bo6bo$21bobo6b2o$22bo9b2o$25b2ob4o2bo$24bobobo4bobo$24bobobob2ob
obo$22b3obobobo2b2o$21bo3bobobo2bo$20bo2bobobobob2o$20bob2ob2obobo$21b
o2bo3bobo$22bobo3b2o$23bo6$bo$2bo$3o6$14b2o$14bo9bo$16bob2o3bobo$15b3o
bo3bo2bo$19bob2ob2o$15b4obobo$10bo4bo2bobo3b2o$10b3o5bobobobobo$13bo5b
2ob2o3bo$10b4o14bo$10bo18bo$11bo10b2o6bo$10b2o9bo2bo6bo$21bobo6b2o$22b
o9b2o$25b2ob4o2bo$24bobobo4bobo$21bo2bobobob2obobo$21b4obobobo2b2o$15b
2o8bobobo2bo$16bo2b5obobobob2o$16bobo4bob2obobo$17bob2o7bobo$19bobo6bo
b2o$17bo2bo2bo3b2o3bo$17b2obob2o2bo2bobo2bo$20bo5bob2obob2o$20bob5obo
2bo$21bo5bo2b2o$23bo2bo$22b2o2b2o6$bo$2bo$3o6$14b2o$14bo9bo$16bob2o3bo
bo$15b3obo3bo2bo$19bob2ob2obo$15b4obobo4bo2b2o$10bo4bo2bobo3b3o3bo$10b
3o5bobobobo7bo$13bo5b2ob2o4b5o$10b4o14bo$10bo20b2o$11bo10b2o7bobo$10b
2o9bo2bo8bo$21bobo9b2o$22bo7b2obo$25b2obo2bobo$24bobob2obob2o$19b2o3bo
bo4bo$19bo2bobob4obo$20b4obo4bo$25bo2bo$22b3o3b2o$22bo6$bo$2bo$3o6$14b
2o$14bo8b2o$16bob2o4bo$15b3obo4bobo$19bob2ob2obo$15b4obobo4bo$10bo4bo
2bobo3b3o$10b3o5bobobobo$13bo5b2ob2o$10b4o$10bo$11bo10b2o$10b2o9bo2bo$
21bobo$22bo7b2o$17b2o6b2obo2bo$18bo5bobob3o$18bobo3bobo$19b2o2b2ob2ob
2o$24bobo3bo$22bobobob2o$22b2obobo$19bo5bobo$19b5ob2o$23bo$21bobo$21b
2o6$bo$2bo$3o6$14b2o$14bo9bo$16bob2o3bobo$15b3obo3bobo$19bob2ob2ob2o$
15b4obobo4bo5b2o$10bo4bo2bobo3b2obo5bo$10b3o5bobobobo2b2ob2obo$13bo5b
2ob2o2bo4bob2o$10b4o13b3obo2bo$10bo18bob3o$11bo10b2o10b3o$10b2o9bo2bo
8bo3bo$21bobo9bo2bo$22bo7b2obobo$25b2obo2bob2o$24bobob2obo$19b2o3bobo
4bo$19bo2bobob4ob2o$20b4obo4bo$25bo2bobo$22b3o3b2o$22bo6$bo$2bo$3o6$
14b2o$14bo10bo$16bob2o4bobo$15b3obo4bobo$19bob2ob2o$15b4obobo$10bo4bo
2bobo3b2o$10b3o5bobobobo2bo$13bo5b2ob2o2b2o$10b4o$10bo$11bo10b2o$10b2o
9bo2bo$21bobo$22bo7b2o$25b2obo2bo$24bobob3o$19b2o3bobo$19bo2bobob3o$
20b4obo3bo$25bo2b2o$22bobo$22b2o6$bo$2bo$3o6$14b2o$14bo8b2o$16bob2o4bo
$15b3obo4bobo$19bob2ob2obo$15b4obobo4bo$10bo4bo2bobo3b3o$10b3o5bobobob
o$13bo5b2ob2o$10b4o$10bo$11bo10b2o$10b2o9bo2bo$21bobo$22bo7b2o$25b2obo
2bo2bo$24bobob2obobobo$19b2o3bobo4bo2bo$19bo2bobob4obo$20b4obo4bo$25bo
2bo$22bobo3b2o$22b2o!
The parameters were 14 14 22
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