Thread for basic questions

[PHPBB12345]

No: A better 5x6

Code: Select all

x = 5, y = 6, rule = LifeHistory
3D2C$2C2DC$2CDCD$3D2C$2C2DC$CD2CD!

5x6 is already optimal

[rattlesnake]

Your 5x6 is xs16_rr0rr.

[PHPBB12345]

Your 5x6 is xs16_rr0rr.

Your 5x6 is xs16_3pq3pm.

[rattlesnake]

Sorry, I made a mistake. I got confused because I saw a different still life.

[Anivec]

Can someone help me synthesize this?

Code: Select all

x = 11, y = 7, rule = B3/S23
3b2o$4bo2bo$b3o3b3o$o3b3o3bo$2o2bo2b3o$2bobo2bo$2b2o!

[Anivec]

Is there a working catalyst for this reaction? Everything I tried fails to recover.

Code: Select all

x = 145, y = 28, rule = B3/S23
143b2o$143b2o14$2ob2o10bo29bo29bo29bo29bo$2obo10bo29bo29bo16b2o11bo29b
o$3bo10b3o27b3o27b3o15bo11b3o19bo7b3o$3b3o29bo28b2o26bob2o29bobo$6bo
27bobo26bo2bo26bo2bo27bobo$3b3o27bobo27bobo28b2o27bobo$3bo30bo29bo57bo
bo$2obo119bo$2ob2o2$10b2o28b2o28b2o28b2o28b2o$10bobo27bobo27bobo27bobo
27bobo$11bo29bo29bo29bo29bo!

I’d run barrister or bellman on it.

What are known periodic replacements for the beehive push catalyst?

Code: Select all

x = 782, y = 760, rule = LifeHistory
A.A$.2A$.A28$31.A$32.2A$31.2A13$47.A$48.A$46.3A14$61.A.A$62.2A$62.A
13$78.A$76.A.A$77.2A13$92.A$93.2A$92.2A13$108.A$109.A$107.3A14$122.A.
A$123.2A$123.A13$139.A$137.A.A$138.2A13$153.A$154.2A$153.2A13$169.A$
170.A$168.3A29$200.A$198.A.A$199.2A13$214.A$215.2A$214.2A13$230.A$
231.A$229.3A14$244.A.A$245.2A$245.A13$261.A$259.A.A$260.2A13$275.A$
276.2A$275.2A13$291.A$292.A$290.3A14$305.A.A$306.2A$306.A13$322.A$
320.A.A$321.2A28$352.A$353.A$351.3A14$366.A.A$367.2A$367.A13$383.A$
381.A.A$382.2A13$397.A$398.2A$397.2A13$413.A$414.A$412.3A14$427.A.A$
428.2A$428.A13$444.A$442.A.A$443.2A13$458.A$459.2A$458.2A13$474.A$
475.A$473.3A14$488.A.A$489.2A$489.A28$519.A$520.2A$519.2A13$535.A$
536.A$534.3A14$549.A.A$550.2A$550.A13$566.A$564.A.A$565.2A13$580.A$
581.2A$580.2A13$596.A$597.A$595.3A14$610.A.A$611.2A$611.A13$627.A$
625.A.A$626.2A13$641.A$642.2A$641.2A13$657.A$658.A$656.3A29$688.A$
686.A.A$687.2A13$702.A$703.2A$702.2A9$739.2A6.2A5.2A6.2A$747.A7.A$
737.A3.A6.3A.3A6.A3.A$737.A4.A7.A.A7.A4.A$638.A79.A20.A.A.A15.A.A.A$
639.A79.A20.A.A.A13.A.A.A$637.3A77.3A21.A4.A9.A4.A$742.A3.A9.A3.A2$
743.2A13.2A$670.3A78.A$669.A3.A76.3A$669.A3.A70.2A11.2A$670.3A70.A.A
11.A.A$743.A15.A$742.2A15.2A$749.5A$609.2A.2A136.3A$610.A.A57.3A78.A$
593.D11.2A.A5.A.2A51.A3.A$594.D9.A.A.2A3.2A.A.A33.A.A14.A3.A58.A.A$
592.3D8.A6.A.A6.A33.2A15.3A60.2A$603.7A3.7A33.A79.A2$605.3A7.3A$604.A
2.A3.A3.A2.A52.A79.A$604.2A4.A.A4.2A51.A.A27.C49.A.A27.C$610.A.A57.A.
A26.C.C48.A.A26.C.C$611.A59.A27.C.C49.A27.C.C$700.C79.C$629.D59.D79.D
$629.D.D57.D.D77.D.D$610.3D5.2A9.3D38.3D5.2A9.3D58.3D5.2A9.3D$610.D2.
D4.2A11.D38.D2.D4.2A11.D58.D2.D4.2A11.D$609.D2.2D55.D2.2D75.D2.2D$
609.2D2.D55.2D2.D75.2D2.D2$600.2A28.2A28.2A28.2A48.2A28.2A$600.A.A23.
A3.2A28.A.A23.A3.2A48.A.A23.A3.2A$602.A6.2A5.2A7.A.A34.A6.2A5.2A7.A.A
54.A6.2A5.2A7.A.A$602.3A3.A2.A4.A.A5.A.A35.3A3.A2.A4.A.A5.A.A55.3A3.A
2.A4.A.A5.A.A$600.2A3.A3.A.A6.A5.A35.2A3.A3.A.A6.A5.A55.2A3.A3.A.A6.A
5.A$599.A2.4A4.A7.2A3.2A34.A2.4A4.A7.2A3.2A54.A2.4A4.A7.2A3.2A$599.2A
.A10.2A44.2A.A10.2A64.2A.A10.2A$602.A.2A7.A48.A.2A7.A68.A.2A7.A$602.A
.A9.3A45.A.A9.3A65.A.A9.3A$601.2A.A.A9.A44.2A.A.A9.A64.2A.A.A9.A$605.
2A58.2A78.2A!

I’m not sure about periodic replacements. I do know that it can be replaced with a loaf spin catalyst, but it seems like it won’t work here.

I believe twin bees could also work in this case.

[squareroot12621]

Can someone help me synthesize this?

Code: Select all

x = 11, y = 7, rule = B3/S23
3b2o$4bo2bo$b3o3b3o$o3b3o3bo$2o2bo2b3o$2bobo2bo$2b2o!

Here's a start:

Code: Select all

x = 63, y = 25, rule = 12ColorMarkedLife
19.A$18.A$18.3A2$22.A$22.A.A$22.2A$46.2M4.M$53.M$A.A43.4M.M.M$.2A53.T
$.A3.A.A3.D33.M4.E4.T5.T$5.2A2.3D36.3E3.3T3.2T$6.A.D3.2D33.E3.2E4.T3.
T$8.2D2.D34.2E2.E2.3T4.T$10.D.D36.E.E3.T4.3T$10.2D37.2E5.T$13.A$11.2A
$12.2A3$14.2A$13.2A$15.A!

[dvgrn]

Here's a start...

Just to report a negative result: I checked the octodatabases for hat predecessors, but there are only half a dozen available --

Code: Select all

x = 138, y = 95, rule = LifeHistory
68.3B$68.6B$67.8B$66.10B$66.9B$67.8B$67.9B$67.4BC4B$66.4BCBC4B$66.4B
2C5B$66.10B$66.11B$65.12B$65.12B$65.3B3C6B$66.12B$67.4B2C5B$68.3BCBC
4B$70.BC6B$70.B2DB2D2B$70.2BDBD3B$71.BDBDB$73.D2B17$44.B56.DB$43.3B
54.DBD2B$37.4B.2B2C54.DB2C2B$37.7B2CB52.2DC2DC3BC$35.12B52.3B2C3BCBC$
35.12B52.6B.BCBC$34.3BD4BC4B51.6BC3BCB$32.4BDBD2BCBC2B51.6B2C4B$32.4B
DBD2BCBCB52.2B2CB.CBC2B$32.3B2CB2D2BC3B49.4B2C2B$32.3B2C10B47.9B$34.
9B3C48.5B2CB$36.7BC2B49.4B2C$38.B5.C52.4B$98.2B29$10.C62.C58.C$9.C2B
60.2BC2B54.2BCB$8.B3C60.3C3B53.3CB$6.BD3B62.5B52.5B$3.C.2B3D61.2B2.2B
53.6B$2.2BC5BD59.D4B54.2BCDB2D$2.3C2B3D58.3D2B3C53.B2CDBD2B$3.4BD59.D
5BC2B54.CBCBDB2C$.2B2.2B61.3D2B.C58.D.2CB$5B62.3BDB64.BC$3B3C60.3CB$.
2BC2B60.2BC$4.C62.C!

-- and none of them are edgy in the right direction.

It might be a good idea to build a fourth octohash database for bilaterally symmetric patterns like this -- i.e., enumerate symmetric bait constellations that are triggered by pairs of gliders coming in at 90 degrees. Seems like that might turn up something that could be used for the right side. But maybe there are known tricks that can produce something like that pre-hat blob.

[mniemiec]

Just to report a negative result: I checked the octodatabases for hat predecessors, but there are only half a dozen available -- ... -- and none of them are edgy in the right direction.

FYI, the bottom left two are the same collision, just rotated 180 degrees.

[dvgrn]

FYI, the bottom left two are the same collision, just rotated 180 degrees.

Yeah, unfortunately there are a fair number of duplications like that in 278187818's enumeration of 3-glider collisions.

Nobody has gotten around yet to re-doing all that work in a verifiably repeatable way, and converting the results to something like Shinjuku format so that any duplications can get caught.

There's a similar duplication problem in the old original octohash database, with constellations that contain blinkers (only). Might get around to a rebuild of the octosearches someday, to fix that problem and make it so that all databases can be searched by one run of one script.

[confocaloid]

Might get around to a rebuild of the octosearches someday, to fix that problem and make it so that all databases can be searched by one run of one script.

Would that imply dependency on all three databases to be able to search either of them? The octo3obj database is fairly big compared to the other two, so it might make sense to keep the ability to download (and/or search, to reduce search time) only some of files.

Also, would it be realistic to make databases similar to octohash/octo3obj, except with standard spaceships other than the glider used to hit the constellations? Having to construct one xWSS somewhere on the correct lane seems better than having to produce three correctly timed and placed gliders.

Code: Select all

#C There are at least 2 ways to hit the same small constellation with an MWSS
#C so that the yellow block is transparent. I think neither of two final patterns
#C of the two collisions appears in any of three octo... databases.
#C
#C On the right, the same small constellation is hit by a glider. As expected,
#C the collision is found in octo3obj by searching for the final pattern.
x = 99, y = 82, rule = LifeHistory
A25$86.A$85.A$85.3A6$30.2A$30.2A$74.2A$7.A27.2A37.2A$8.A25.A2.A$3.A4.
A26.2A42.2A$4.5A69.A2.A$79.2A2$39.2E$39.2E$83.2A$83.2A18$30.2A$30.2A
2$35.2A$34.A2.A$7.A27.2A$8.A$3.A4.A$4.5A$39.2E$39.2E8$98.A!

[dvgrn]

Would that imply dependency on all three databases to be able to search either of them?

Nah, that would be kind of a silly design. Most likely it would be a matter of downloading whatever octodatabase files you want to such-and-such a folder, and then runing such-and-such specific script to do a specific type of search, or such-and-such other script to just look through all the files that it finds in that folder.

Also, would it be realistic to make databases similar to octohash/octo3obj, except with standard spaceships other than the glider used to hit the constellations?

Absolutely realistic. Quite easy, in fact. The 2-object and 3-object enumerations are already complete (though of course there were lots of arbitrary choices made to limit the total number of constellations, and other choices could equally well be made).

We could hit every one of those 2-object and 3-object constellations with all possible LWSSes, MWSSes, and HWSSes, discard the cases where one or more of the objects never gets touched by the reaction, and octo-fingerprint the rest for 256 ticks or whatever... and suddenly we'd have five octo-databases instead of three.

It would take a small amount of coding to deal with enumerating *WSS collisions correctly, and then probably a multi-day process to record all the fingerprints. After which we would get to the usual problem of figuring out how to share the new files.

[pipsqueek]

is it possible to create a primer in which more than 4 copies of it can be placed within the same life plane, while still computing primes in linear time?

[rutabaga]

How do you search an oscillator or other pattern across multiple rules to see if anyone else found the evolutionary sequence in any rule yet?

[confocaloid]

What is the fastest glider recipe that does two things:

• PULL a block by at least 3 diagonals, and
• FIRE one sideways glider?

This one works at p102 (pull+fire reaction every 70 ticks):

Code: Select all

x = 73, y = 75, rule = LifeHistory
60.D$59.2D$59.D.D6$52.D$51.2D$51.D.D$71.2C$71.2C7$63.2D$63.2D7$55.2D$
55.2D10$39.2E$38.E.E$40.E3$44.2E$36.2E5.E.E$35.E.E7.E$37.E$26.2E$27.
2E$26.E15$13.3A$15.A$14.A3$18.3A$10.3A7.A$12.A6.A$.A9.A$.2A$A.A!
#C [[ T 102 PAUSE 1 T 177 PAUSE 1 T 247 PAUSE 1 ]]

Edit: using the first 3G -> G recipe from post18836, the following 5G works at p88:

Code: Select all

x = 51, y = 50, rule = LifeHistory
35.2D$34.2D$36.D$32.2D15.2C$31.2D16.2C$33.D$46.2D$46.2D2$43.2D$43.2D
3$34.2E$35.2E$24.2E8.E7.3E$25.2E17.E$24.E5.2E11.E$31.2E$30.E6$22.3E$
24.E$23.E8$12.2A$13.2A$2.2A8.A7.3A$3.2A17.A$2.A5.2A11.A$9.2A$8.A6$3A$
2.A$.A!
#C [[ T 88 PAUSE 1 T 164 PAUSE 1 ]]

Edit 2 (2023-02-13): the fastest solution I know of so far is the 2G pull+fire reaction from Figure 8.38 (c) in the textbook, the gliders can be sent every 36 ticks:

Code: Select all

x = 29, y = 31, rule = B3/S23
o$b2o$2o3$5bobo$6b2o$6bo2$9bo$10b2o$9b2o3$14bobo$15b2o$15bo2$18bo$19b
2o$18b2o3$23bobo$24b2o$24bo4$27b2o$27b2o!

How do you search an oscillator or other pattern across multiple rules to see if anyone else found the evolutionary sequence in any rule yet?

As far as I know there's no (?) simple Catagolue feature to know whether a particular object appeared in some rule where it works the same way.

However, sometimes you can "guess" the rule to look. For example, if the object in question works the same way in a rule with rulestring similar to Life (e.g. a few added or removed birth/survival conditions), then it makes sense to check Catagolue pages for those rules first (because rules with simple-looking rulestrings are more likely to be explored by someone in the past).

[confocaloid]

There has been much effort with the target of synthesizing the still life with 6 gliders, leading to the development of at least ten 7-glider syntheses.

Could anyone post those known 7G syntheses on the forum? I found one synthesis linked from the article:

6G amphisbaena+beehive from 5Glider_stdin, submitted yesterday:

Code: Select all

#C [[ GRID MAXGRIDSIZE 14 THEME Catagolue ]]
#CSYNTH xs17_321eg8oxcic costs 6 gliders (pseudo).
#CLL state-numbering golly
x = 27, y = 33, rule = B3/S23
17bo$17bobo$17b2o7$15bo$15bobo$bo13b2o$2bo9bo$3o8b2o$11bobo9$22bo$
21b2o$21bobo5$24b2o$24bobo$24bo!

Another 7G synthesis was on Catagolue before today:

Code: Select all

#CSYNTH xs11_321eg8o costs 7 gliders (true).
#CLL state-numbering golly
x = 24, y = 14, rule = B3/S23
o$b2o15bo$2o8bo6bo$10bobo4b3o$10b2o$21bobo$21b2o$22bo2$8bobo$8b2o$
3bobo3bo6b3o$4b2o10bo$4bo12bo!

[dvgrn]

There has been much effort with the target of synthesizing the still life with 6 gliders, leading to the development of at least ten 7-glider syntheses.

Could anyone post those known 7G syntheses on the forum?

There were more than ten:
Goldtiger997, 7G amphisbaena #1:

Code: Select all

x = 26, y = 36, rule = B3/S23
23bobo$23b2o$24bo$14bo$12b2o$13b2o15$15b2o$14b2o$16bo4b3o$21bo$22bo4$b
2o$obo19b2o$2bo19bobo$22bo2$19b2o$18b2o$20bo!

Goldtiger997, 7G amphisbaena #2:

Code: Select all

x = 24, y = 26, rule = B3/S23
21bobo$21b2o$22bo2$16bo$14b2o$7bo7b2o$7bobo$7b2o$16bo$15b2o$2o13bobo$o
bo$bo10$10bo$9b2o$9bobo!

Goldtiger997, 7G amphisbaena #3:

Code: Select all

x = 19, y = 15, rule = B3/S23
18bo$2bobo13bo$3b2o13bo$3bo$13bo$bo12bo$2bo9b3o$3o2$8b3o$10bo$9bo$12b
3o$14bo$13bo!

Goldtiger997, 7G amphisbaenas #4, #5, and implied #6:

Code: Select all

x = 135, y = 75, rule = B3/S23
67bo$65b2o$66b2o25$51bo$2bo46b2o$obo47b2o$b2o3$23bo$23bobo$23b2o5$22bo
$21bo$21b3o2$16bo98bo$17b2o95bobo$16b2o96bo2bo$115b2o13bo$130bobo$130b
2o6$129bo$129bobo$129b2o4$124b3o$124bo$125bo3$100bo$100b2o$99bobo$9bo$
9b2o$8bobo$132b3o$132bo$133bo!

Code: Select all

x = 16, y = 14, rule = B3/S23
3bo$2bobo$2bo2bo$3b2o$12bo$13bo$11b3o3$13bo$2o11bobo$b2o7bo2b2o$o9bo$
10bo!

Goldtiger997, "7G amphisbaena synthesis #7: "

Code: Select all

x = 27, y = 26, rule = B3/S23
13b2o$12bo2bo$13b2o3$8bo$7bobo$7bobo$8bo$10b3o$3bo6bo$4bo6bo$2b3o4$2bo
$3bo20b2o$b3o20bobo$24bo4$b2o$obo$2bo!

Goldtiger997, 7G amphisbaena synthesis #8:

Code: Select all

x = 38, y = 46, rule = B3/S23
obo$b2o$bo14$16bo$17bo$15b3o6b2o$24bobo$24bo3$22b3o$24bo$23bo14$35b2o$
35bobo$35bo$15b2o$14bobo4b2o$16bo3bobo$22bo!

Goldtiger997, "7G amphisbaena synthesis #9: "

Code: Select all

x = 32, y = 33, rule = B3/S23
3bo$4b2o$3b2o14$20bo10bo$21bo7b2o$19b3o8b2o3$14bo7b2o$15bo5bobo$13b3o
7bo7$2o11bo$b2o10b2o$o11bobo!

Goldtiger997, "7G amphisbaena synthesis #10: "

Code: Select all

x = 33, y = 48, rule = B3/S23
25bo$24bo$24b3o$bo$2bo$3o12$28bo$27bo$27b3o5$18bobo$14bo3b2o$12bobo4bo
$13b2o2$8b3o$10bo$9bo14$30b2o$30bobo$30bo!

iNoMed, "7G amphisbaena 99999999"

Code: Select all

x = 61, y = 52, rule = B3/S23
o$b2o57bo$2o56b2o$59b2o27$28bo$26bobo16bo$27b2o15bo$44b3o2$33bo$31bobo
$32b2o3$30b2o$31b2o$30bo7$27b3o$29bo$28bo!

[Anivec]

What p4 sparker has the strongest edge spark that can eat gliders?

[rattlesnake]

I think it is Superfountain:

Code: Select all

#N Superfountain eats output of period-48 glider gun
x = 37, y = 40, rule = B3/S23
28b2o$13b2o13bo$13b2o11bobo$26b2o3$bobo3bobo$o6bobo11bo$bo3b2o2bo10bo
bo$3bobo14bobo$4bo3bo11b3o$4bob2o18b2o$2b2o2b2o18bobo$4bo5b2o16bo$10b
2o16b2o8$25bo3$19bo2bo5bo2bo$17b2o2bob5obo2b2o$19bo11bo$17bob2o9b2obo
$15bobo3b3o3b3o3bobo$14b3obo13bob3o$24bobo$18b3o3bobo3b3o$18bo2bo3bo3b
o2bo$17b4o2bobobo2b4o$17b2o2b3obob3o2b2o$16bo3bo3bobo3bo3bo$17bo2bobo
bobobobo2bo$18bobob2o3b2obobo$19bo11bo!

[confocaloid]

Would an universal stable toolkit / universal set of p1 components be possible with repeat time 57?

Some known sufficiently fast stable components are the Snark, Fx77, HRx65R + RF28B, BRx46B, Jormungant's 2G-to-H, BSE1T1. Are there other usable components?

Here's a rather ridiculous p8462 loop made out of stable conduits. The loop can safely contain active objects separated by 57 ticks. There are conversions between Herschels, pairs "B-heptomino + glider", and glider pairs. The main thing that's missing seems to be some way to get a signal out:

Code: Select all

x = 1061, y = 1051, rule = LifeHistory
150.2A$150.A.A$152.A4.2A$148.4A.2A2.A2.A$148.A2.A.A.A.A.2A$150.BABABA
.A$151.B2ABA.A$152.2B.BA$151.3B$142.2A6.4B$143.A6.B2A3B$143.A.AB3.B2A
3B$144.2AB.10B$146.13B$146.14B$146.15B$148.8B2.4B$148.6B5.4B$112.A34.
9B4.4B$99.A10.3A33.4B4.2A5.4B$36.2A52.2A5.3A9.A35.4B5.A7.4B$36.A.A52.
A4.A12.2A33.4B7.3A5.2BDB$38.A4.2A46.A.AB2.A9.4B32.4B10.A6.2B2D$34.4A.
2A2.A2.A45.A.A2B.A7.3B33.4B19.2D2B$34.A2.A.A.A.A.2A46.A2B.2A7.4B18.A
12.4B21.4B$36.BABABA.A25.A22.3B10.5B9.A8.3A5.B3.4B23.4B$37.B2ABA.A25.
3A12.B.3B.B.2B11.6B8.3A9.A3.8B25.4B$38.2B.BA7.2A20.A10.18B2.8B11.A7.
2A3.7B27.4B$37.3B11.A19.2A3.B5.2B2A26B9.2A3.B3.11B29.4B$28.2A6.4B6.2A
.A21.8B3.2B2A25B10.8B3.8B31.4B$29.A6.B2A3B5.A.2A2.2A18.8B.20B.7B13.
16B33.4B$29.A.AB3.B2A3B5.A4.A.A18.38B12.16B34.4B$30.2AB.10B4.3A.A19.
15B.2B2.19B11.19B33.4B$32.13B5.A.2A2.5B9.17B8.17B8.21B34.4B$32.14B4.
11B2.2B2.19B11.15B.2B2.32B27.4B$32.15B4.2B.16BC15B12.22BD29B27.4B$34.
8B2.4B4.18BCBC4B.7B13.8B.13BDBD4B.8BA14B27.4B$34.6B5.BCBC2.3B2C3B2A9B
3C13B10.8B3.2B2A9B3D4B2.B.4BABA12B29.4B$33.9B4.B2CB.4B2C2B2A11BC14B9.
2A3.B5.2B2A11BD4B7.A2BA12B30.4B$32.4B4.2A5.C3B.2BC21B2.8B11.A10.18B8.
B2A15B.2A26.4B$31.4B5.A7.11B2.3B.B.2B11.6B8.3A12.B.3B.B.2B15.18BA.A
27.4B$30.4B7.3A5.10B8.3B10.5B9.A22.3B12.2AB2.14B.BA29.4B$29.4B10.A5.
6B.2B10.A2B.2A7.4B33.A2B.2A7.A.AB2.4B2.8B33.4B$28.4B16.7B12.A.A2B.A7.
3B33.A.A2B.A7.A6.B4.8B34.4B$27.4B16.4B.2B12.A.AB2.A9.4B30.A.AB2.A7.2A
13.7B34.4B$26.4B16.4B2.4B10.A4.A12.2A30.A4.A23.6B36.4B$25.4B16.4B5.2A
.A7.2A5.3A9.A30.2A5.3A20.10B33.4B$24.4B16.4B6.2AB3A14.A10.3A36.A20.
11B17.2A14.4B$23.4B16.4B8.B4.A26.A54.2B.11B8.2A6.B2AB14.4B$22.4B16.4B
8.2A.3A81.2A14B6.B2AB5.3B16.4B$21.4B16.4B10.A.A83.2AB.12B6.3B7.B18.4B
$20.4B16.4B11.A.A84.B.13B2.B4.B.2B3.5B17.4B$19.4B4.2A10.4B13.A87.29BA
4B16.4B$18.4B6.A9.4B103.27BABA4B16.4B$17.4B5.A10.4B104.27BABA4B17.4B$
16.4B6.5A5.4B5.2A98.28BA4B19.4B$3.2A10.4B12.A4.4B5.A98.32B22.4B$4.A9.
4B10.3AB2.7B.BA.A95.2B.2B2A7B3.16B25.4B$2.A10.4B10.A.2B3.7B.B2A95.2A
3BA2BA3B.B7.13B26.4B$2.5A5.4B5.2A4.4A12B97.2AB.2B2A2B11.12B28.4B$7.A
4.4B5.A3.2A2.BA3B2A7B98.B2.6B11.13B28.4B$4.3AB2.7B.BA.A2.A2.3AB.2B2A
7B102.4B12.12B30.4B$3.A.2B3.7B.B2A3.2A.A.B3.10B102.4B13.10B32.4B$3.4A
12B8.A8.8B102.2B16.8B33.4B$.2A2.BA3B2A7B8.2A7.9B122.5B34.4B$A2.3AB.2B
2A7B18.3B2.4B45.2A74.6B34.4B$2A.A.B3.10B16.5B3.4B43.A.A73.7B35.4B$3.A
8.8B15.2A7.4B36.2A4.A76.6B36.4B$3.2A7.9B15.A8.4B33.A2.A2.2A.4A72.10B
33.4B$13.3B2.4B11.3A10.4B32.2A.A.A.A.A2.A72.BDB2D6B17.2A14.4B$11.5B3.
4B10.A13.4B34.A.ABABAB71.2B.B3D7B8.2A6.B2AB14.4B$11.2A7.4B24.4B33.A.A
B2AB71.2A4BD9B6.B2AB5.3B16.4B$12.A8.4B24.4B33.AB.2B72.2AB.12B6.3B7.B
18.4B$9.3A10.4B24.4B35.3B72.B.13B2.B4.B.2B3.5B17.4B$9.A13.4B24.4B34.
4B6.2A65.29BA4B16.4B$24.4B24.4B31.3B2AB6.A67.27BABA4B16.4B$25.4B24.4B
30.3B2AB3.BA.A67.27BABA4B17.4B$26.4B24.4B27.10B.B2A68.28BA4B19.4B$27.
4B24.4B25.13B69.32B22.4B$28.4B24.4B23.14B66.2B.2B2A7B3.16B25.4B$29.4B
24.4B21.15B65.2A3BA2BA3B.B7.13B26.4B$30.4B24.4B19.4B2.8B67.2AB.2B2A2B
11.12B28.4B$31.4B24.4B6.A10.4B5.6B68.B2.6B11.13B28.4B$32.4B24.4B5.3A
7.4B4.9B71.4B12.12B30.4B$33.4B24.4B7.A5.4B5.2A4.4B70.4B13.10B32.4B$
34.4B24.4B5.2A4.4B7.A5.4B70.2B16.8B33.4B$35.4B24.4B4.9B5.3A7.4B90.5B
34.4B$36.4B24.4B5.6B6.A10.4B89.6B34.4B$37.4B24.4B2.8B18.4B87.7B35.4B$
38.4B24.15B17.4B87.6B36.4B$39.4B24.14B18.4B86.10B33.4B$40.4B24.13B19.
4B85.11B17.2A14.4B$41.4B24.10B.B2A18.4B81.2B.11B8.2A6.B2AB14.4B$42.4B
25.3B2AB3.BA.A18.4B79.2A14B6.B2AB5.3B16.4B$43.4B24.3B2AB6.A19.4B10.2A
66.2AB.12B6.3B7.B18.4B$44.4B25.4B6.2A19.4B9.A68.B.13B2.B4.B.2B3.5B17.
4B$45.4B24.3B29.4B10.A68.29BA4B16.4B$46.4B20.AB.2B24.2A5.4B5.5A69.27B
ABA4B16.4B$47.4B18.A.AB2AB24.A5.4B4.A74.27BABA4B17.4B$48.4B17.A.ABABA
B23.A.AB.7B2.B3A71.28BA4B19.4B$49.4B13.2A.A.A.A.A2.A22.2AB.7B3.2B.A
69.32B22.4B$50.4B12.A2.A2.2A.4A24.12B4A66.2B.2B2A7B3.16B25.4B$51.4B
13.2A4.A28.7B2A3BAB2.2A63.2A3BA2BA3B.B7.13B26.4B$52.4B18.A.A26.7B2A2B
.B3A2.A62.2AB.2B2A2B11.12B28.4B$53.4B18.2A26.10B3.B.A.2A63.B2.6B11.
13B28.4B$54.4B44.8B8.A70.4B12.12B30.4B$55.4B42.9B7.2A70.4B13.10B32.4B
$56.4B40.4B2.3B81.2B16.8B33.4B$57.4B38.4B3.5B100.5B34.4B$58.4B36.4B7.
2A100.6B34.4B$59.4B22.2A10.4B8.A26.2A72.7B35.4B$60.4B22.A9.4B10.3A22.
A.A73.6B36.4B$61.4B19.A10.4B13.A16.2A4.A75.10B33.4B$62.4B18.5A5.4B5.
2A22.A2.A2.2A.4A71.11B17.2A14.4B$63.4B22.A4.4B5.A23.2A.A.A.A.A2.A68.
2B.11B8.2A6.B2AB14.4B$64.4B18.3AB2.7B.BA.A26.A.ABABAB69.2A14B6.B2AB5.
3B16.4B$65.4B16.A.2B3.7B.B2A27.A.AB2AB70.2AB.12B6.3B7.B18.4B$66.4B15.
4A12B30.AB.2B72.B.13B2.B4.B.2B3.5B17.4B$67.4B12.2A2.BA3B2A7B33.3B73.
29BA4B16.4B$68.4B10.A2.3AB.2B2A7B33.4B6.2A65.27BABA4B16.4B$69.4B9.2A.
A.B3.10B31.3B2AB6.A66.27BABA4B17.4B$70.4B11.A8.8B30.3B2AB3.BA.A66.28B
A4B19.4B$71.4B10.2A7.9B27.10B.B2A66.32B22.4B$72.4B19.3B2.4B25.13B65.
2B.2B2A7B3.16B25.4B$73.4B16.5B3.4B23.14B64.2A3BA2BA3B.B7.13B26.4B$74.
4B15.2A7.4B21.15B64.2AB.2B2A2B11.12B28.4B$75.4B15.A8.4B19.4B2.8B67.B
2.6B11.13B28.4B$76.4B11.3A10.4B6.A10.4B5.6B71.4B12.12B30.4B$77.4B10.A
13.4B5.3A7.4B4.9B70.4B13.10B32.4B$78.4B24.4B7.A5.4B5.2A4.4B70.2B16.8B
33.4B$79.4B24.4B5.2A4.4B7.A5.4B90.5B34.4B$80.4B24.4B4.9B5.3A7.4B89.6B
34.4B$81.4B24.4B5.6B6.A10.4B87.7B35.4B$82.4B24.4B2.8B18.4B87.6B36.4B$
83.4B24.15B17.4B86.10B33.4B$84.4B24.14B18.4B85.11B17.2A14.4B$85.4B24.
13B19.4B81.2B.11B8.2A6.B2AB14.4B$86.4B24.10B.B2A18.4B79.2A14B6.B2AB5.
3B16.4B$87.4B25.3B2AB3.BA.A18.4B78.2AB.12B6.3B7.B18.4B$88.4B24.3B2AB
6.A19.4B10.2A66.B.13B2.B4.B.2B3.5B17.4B$89.4B25.4B6.2A19.4B9.A69.29BA
4B16.4B$90.4B24.3B29.4B10.A68.27BABA4B16.4B$91.4B20.AB.2B24.2A5.4B5.
5A68.27BABA4B17.4B$92.4B18.A.AB2AB24.A5.4B4.A73.28BA4B19.4B$93.4B17.A
.ABABAB23.A.AB.7B2.B3A69.32B22.4B$94.4B13.2A.A.A.A.A2.A22.2AB.7B3.2B.
A65.2B.2B2A7B3.16B25.4B$95.4B12.A2.A2.2A.4A24.12B4A64.2A3BA2BA3B.B7.
13B26.4B$96.4B13.2A4.A28.7B2A3BAB2.2A62.2AB.2B2A2B11.12B28.4B$97.4B
18.A.A26.7B2A2B.B3A2.A62.B2.6B11.13B28.4B$98.4B18.2A26.10B3.B.A.2A66.
4B12.12B30.4B$99.4B44.8B8.A69.4B13.10B32.4B$100.4B42.9B7.2A70.2B16.8B
33.4B$101.4B40.4B2.3B101.5B34.4B$102.4B38.4B3.5B99.6B34.4B$103.4B36.
4B7.2A98.7B35.4B$104.4B22.2A10.4B8.A100.6B36.4B$105.4B22.A9.4B10.3A
97.10B33.4B$106.4B19.A10.4B13.A97.11B17.2A14.4B$107.4B18.5A5.4B5.2A
102.2B.11B8.2A6.B2AB14.4B$108.4B22.A4.4B5.A102.2A14B6.B2AB5.3B16.4B$
109.4B18.3AB2.7B.BA.A102.2AB.12B6.3B7.B18.4B$110.4B16.A.2B3.7B.B2A
104.B.13B2.B4.B.2B3.5B17.4B$111.4B15.4A12B108.29BA4B16.4B$112.4B12.2A
2.BA3B2A7B109.27BABA4B16.4B$113.4B10.A2.3AB.2B2A7B109.27BABA4B17.4B$
114.4B9.2A.A.B3.10B109.28BA4B19.4B$115.4B11.A8.8B107.32B22.4B$116.4B
10.2A7.9B103.2B.2B2A7B3.16B25.4B$117.4B19.3B2.4B101.2A3BA2BA3B.B7.13B
26.4B$118.4B16.5B3.4B100.2AB.2B2A2B11.12B28.4B$119.4B15.2A7.4B100.B2.
6B11.13B28.4B$120.4B15.A8.4B103.4B12.12B30.4B$121.4B11.3A10.4B102.4B
13.10B32.4B$122.4B10.A13.4B102.2B16.8B33.4B$123.4B24.4B122.5B34.4B$
124.4B24.4B121.6B34.4B$125.4B24.4B119.7B35.4B$126.4B24.4B119.6B36.4B$
127.4B24.4B118.10B33.4B$128.4B24.4B117.11B17.2A14.4B$129.4B24.4B113.
2B.11B8.2A6.B2AB14.4B$130.4B24.4B111.2A14B6.B2AB5.3B16.4B$131.4B24.4B
110.2AB.12B6.3B7.B18.4B$132.4B24.4B110.B.13B2.B4.B.2B3.5B17.4B$133.4B
24.4B111.29BA4B16.4B$134.4B24.4B111.27BABA4B16.4B$135.4B24.4B110.27BA
BA4B17.4B$136.4B24.4B109.28BA4B19.4B$137.4B24.4B107.32B22.4B$138.4B
24.4B103.2B.2B2A7B3.16B25.4B$139.4B24.4B101.2A3BA2BA3B.B7.13B26.4B$
140.4B24.4B100.2AB.2B2A2B11.12B28.4B$141.4B24.4B100.B2.6B11.13B28.4B$
142.4B24.4B103.4B12.12B30.4B$143.4B24.4B102.4B13.10B32.4B$144.4B24.4B
102.2B16.8B33.4B$145.4B24.4B122.5B34.4B$146.4B24.4B121.6B34.4B$147.4B
24.4B119.7B35.4B$148.4B24.4B119.6B36.4B$149.4B24.4B118.10B33.4B$150.
4B24.4B117.11B17.2A14.4B$151.4B24.4B113.2B.11B8.2A6.B2AB14.4B$152.4B
24.4B111.2A14B6.B2AB5.3B16.4B$153.4B24.4B110.2AB.12B6.3B7.B18.4B$154.
4B24.4B110.B.13B2.B4.B.2B3.5B17.4B$155.4B24.4B111.29BA4B16.4B$156.4B
24.4B111.27BABA4B16.4B$157.4B24.4B110.27BABA4B17.4B$158.4B24.4B109.
28BA4B19.4B$159.4B24.4B107.32B22.4B$160.4B24.4B103.2B.2B2A7B3.16B25.
4B$161.4B24.4B101.2A3BA2BA3B.B7.13B26.4B$162.4B24.4B100.2AB.2B2A2B11.
12B28.4B$163.4B24.4B100.B2.6B11.13B28.4B$164.4B24.4B103.4B12.12B30.4B
$165.4B24.4B102.4B13.10B32.4B$166.4B24.4B102.2B16.8B33.4B$167.4B24.4B
122.5B34.4B$168.4B24.4B121.6B34.4B$169.4B24.4B119.7B35.4B$170.4B24.4B
119.6B36.4B$171.4B24.4B118.10B33.4B$172.4B24.4B117.11B17.2A14.4B$173.
4B24.4B113.2B.11B8.2A6.B2AB14.4B$174.4B24.4B111.2A14B6.B2AB5.3B16.4B$
175.4B24.4B110.2AB.12B6.3B7.B18.4B$176.4B24.4B110.B.13B2.B4.B.2B3.5B
17.4B$177.4B24.4B111.29BA4B16.4B$178.4B24.4B111.27BABA4B16.4B$179.4B
24.4B110.27BABA4B17.4B$180.4B24.4B109.28BA4B19.4B$181.4B24.4B107.32B
22.4B$182.4B24.4B103.2B.2B2A7B3.16B25.4B$183.4B24.4B101.2A3BA2BA3B.B
7.13B26.4B$184.4B24.4B100.2AB.2B2A2B11.12B28.4B$185.4B24.4B100.B2.6B
11.13B28.4B$186.4B24.4B103.4B12.12B30.4B$187.4B24.4B102.4B13.10B32.4B
$188.4B24.4B102.2B16.8B33.4B$189.4B24.4B122.5B34.4B$190.4B24.4B121.6B
34.4B$191.4B24.4B119.7B35.4B$192.4B24.4B119.6B36.4B$193.4B24.4B118.
10B33.4B$194.4B24.4B117.11B17.2A14.4B$195.4B24.4B113.2B.11B8.2A6.B2AB
14.4B$196.4B24.4B111.2A14B6.B2AB5.3B16.4B$197.4B24.4B110.2AB.12B6.3B
7.B18.4B$198.4B24.4B110.B.13B2.B4.B.2B3.5B17.4B$199.4B24.4B111.29BA4B
16.4B$200.4B24.4B111.27BABA4B16.4B$201.4B24.4B110.27BABA4B17.4B$202.
4B24.4B109.28BA4B19.4B$203.4B24.4B107.32B22.4B$204.4B24.4B103.2B.2B2A
7B3.16B25.4B$205.4B24.4B101.2A3BA2BA3B.B7.13B26.4B$206.4B24.4B100.2AB
.2B2A2B11.12B28.4B$207.4B24.4B100.B2.6B11.13B28.4B$208.4B24.4B103.4B
12.12B30.4B$209.4B24.4B102.4B13.10B32.4B$210.4B24.4B102.2B16.8B33.4B$
211.4B24.4B122.5B34.4B$212.4B24.4B121.6B34.4B$213.4B24.4B119.7B35.4B$
214.4B24.4B119.6B36.4B$215.4B24.4B118.10B33.4B$216.4B24.4B117.11B17.
2A14.4B$217.4B24.4B113.2B.11B8.2A6.B2AB14.4B$218.4B24.4B111.2A14B6.B
2AB5.3B16.4B$219.4B24.4B110.2AB.12B6.3B7.B18.4B$220.4B24.4B110.B.13B
2.B4.B.2B3.5B17.4B$221.4B24.4B111.29BA4B16.4B$222.4B24.4B111.27BABA4B
16.4B$223.4B24.4B110.27BABA4B17.4B$224.4B24.4B109.28BA4B19.4B$225.4B
24.4B107.32B22.4B$226.4B24.4B103.2B.2B2A7B3.16B25.4B$227.4B24.4B101.
2A3BA2BA3B.B7.13B26.4B$228.4B24.4B100.2AB.2B2A2B11.12B28.4B$229.4B24.
4B100.B2.6B11.13B28.4B$230.4B24.4B103.4B12.12B30.4B$231.4B24.4B102.4B
13.10B32.4B$232.4B24.4B102.2B16.8B33.4B$233.4B24.4B122.5B34.4B$234.4B
24.4B121.6B34.4B$235.4B24.4B119.7B35.4B$236.4B24.4B119.6B36.4B$237.4B
24.4B118.10B33.4B$238.4B24.4B117.11B17.2A14.4B$239.4B24.4B113.2B.11B
8.2A6.B2AB14.4B$240.4B24.4B111.2A14B6.B2AB5.3B16.4B$241.4B24.4B110.2A
B.12B6.3B7.B18.4B$242.4B24.4B110.B.13B2.B4.B.2B3.5B17.4B$243.4B24.4B
111.29BA4B16.4B$244.4B24.4B111.27BABA4B16.4B$245.4B24.4B110.27BABA4B
17.4B$246.4B24.4B109.28BA4B19.4B$247.4B24.4B107.32B22.4B$248.4B24.4B
103.2B.2B2A7B3.16B25.4B$249.4B24.4B101.2A3BA2BA3B.B7.13B26.4B$250.4B
24.4B100.2AB.2B2A2B11.12B28.4B$251.4B24.4B100.B2.6B11.13B28.4B$252.4B
24.4B103.4B12.12B30.4B$253.4B24.4B102.4B13.10B32.4B$254.4B24.4B102.2B
16.8B33.4B$255.4B24.4B122.5B34.4B$256.4B24.4B121.6B34.4B$257.4B24.4B
119.7B35.4B$258.4B24.4B119.6B36.4B$259.4B24.4B118.10B33.4B$260.4B24.
4B117.11B17.2A14.4B$261.4B24.4B113.2B.11B8.2A6.B2AB14.4B$262.4B24.4B
111.2A14B6.B2AB5.3B16.4B$263.4B24.4B110.2AB.12B6.3B7.B18.4B$264.4B24.
4B110.B.13B2.B4.B.2B3.5B17.4B$265.4B24.4B111.29BA4B16.4B$266.4B24.4B
111.27BABA4B16.4B$267.4B24.4B110.27BABA4B17.4B$268.4B24.4B109.28BA4B
19.4B$269.4B24.4B107.32B22.4B$270.4B24.4B103.2B.2B2A7B3.16B25.4B$271.
4B24.4B101.2A3BA2BA3B.B7.13B26.4B$272.4B24.4B100.2AB.2B2A2B11.12B28.
4B$273.4B24.4B100.B2.6B11.13B28.4B$274.4B24.4B103.4B12.12B30.4B$275.
4B24.4B102.4B13.10B32.4B$276.4B24.4B102.2B16.8B33.4B$277.4B24.4B122.
5B34.4B$278.4B24.4B121.6B34.4B$279.4B24.4B119.7B35.4B$280.4B24.4B119.
6B36.4B$281.4B24.4B118.10B33.4B$282.4B24.4B117.11B17.2A14.4B$283.4B
24.4B113.2B.11B8.2A6.B2AB14.4B$284.4B24.4B111.2A14B6.B2AB5.3B16.4B$
285.4B24.4B110.2AB.12B6.3B7.B18.4B$286.4B24.4B110.B.13B2.B4.B.2B3.5B
17.4B$287.4B24.4B111.29BA4B16.4B$288.4B24.4B111.27BABA4B16.4B$289.4B
24.4B110.27BABA4B17.4B$290.4B24.4B109.28BA4B19.4B$291.4B24.4B107.32B
22.4B$292.4B24.4B103.2B.2B2A7B3.16B25.4B$293.4B24.4B101.2A3BA2BA3B.B
7.13B26.4B$294.4B24.4B100.2AB.2B2A2B11.12B28.4B$295.4B24.4B100.B2.6B
11.13B28.4B$296.4B24.4B103.4B12.12B30.4B$297.4B24.4B102.4B13.10B32.4B
$298.4B24.4B102.2B16.8B33.4B$299.4B24.4B122.5B34.4B$300.4B24.4B121.6B
34.4B$301.4B24.4B119.7B35.4B$302.4B24.4B119.6B36.4B$303.4B24.4B118.
10B33.4B$304.4B24.4B117.11B17.2A14.4B$305.4B24.4B113.2B.11B8.2A6.B2AB
14.4B$306.4B24.4B111.2A14B6.B2AB5.3B16.4B$307.4B24.4B110.2AB.12B6.3B
7.B18.4B$308.4B24.4B110.B.13B2.B4.B.2B3.5B17.4B$309.4B24.4B111.29BA4B
16.4B$310.4B24.4B111.27BABA4B16.4B$311.4B24.4B110.27BABA4B17.4B$312.
4B24.4B109.28BA4B19.4B$313.4B24.4B107.32B22.4B$314.4B24.4B103.2B.2B2A
7B3.16B25.4B$315.4B24.4B101.2A3BA2BA3B.B7.13B26.4B$316.4B24.4B100.2AB
.2B2A2B11.12B28.4B$317.4B24.4B100.B2.6B11.13B28.4B$318.4B24.4B103.4B
12.12B30.4B$319.4B24.4B102.4B13.10B32.4B$320.4B24.4B102.2B16.8B33.4B$
321.4B24.4B122.5B34.4B$322.4B24.4B121.6B34.4B$323.4B24.4B119.7B35.4B$
324.4B24.4B119.6B36.4B$325.4B24.4B118.10B33.4B$326.4B24.4B117.11B17.
2A14.4B$327.4B24.4B113.2B.11B8.2A6.B2AB14.4B$328.4B24.4B111.2A14B6.B
2AB5.3B16.4B$329.4B24.4B110.2AB.12B6.3B7.B18.4B$330.4B24.4B110.B.13B
2.B4.B.2B3.5B17.4B$331.4B24.4B111.29BA4B16.4B$332.4B24.4B111.27BABA4B
16.4B$333.4B24.4B110.27BABA4B17.4B$334.4B24.4B109.28BA4B19.4B$335.4B
24.4B107.32B22.4B$336.4B24.4B103.2B.2B2A7B3.16B25.4B$337.4B24.4B101.
2A3BA2BA3B.B7.13B26.4B$338.4B24.4B100.2AB.2B2A2B11.12B28.4B$339.4B24.
4B100.B2.6B11.13B28.4B$340.4B24.4B103.4B12.12B30.4B$341.4B24.4B102.4B
13.10B32.4B$342.4B24.4B102.2B16.8B33.4B$343.4B24.4B122.5B34.4B$344.4B
24.4B121.6B34.4B$345.4B24.4B119.7B35.4B$346.4B24.4B119.6B36.4B$347.4B
24.4B118.10B33.4B$348.4B24.4B117.11B17.2A14.4B$349.4B24.4B113.2B.11B
8.2A6.B2AB14.4B$350.4B24.4B111.2A14B6.B2AB5.3B16.4B$351.4B24.4B110.2A
B.12B6.3B7.B18.4B$352.4B24.4B110.B.13B2.B4.B.2B3.5B17.4B$353.4B24.4B
111.29BA4B16.4B$354.4B24.4B111.27BABA4B16.4B$355.4B24.4B110.27BABA4B
17.4B$356.4B24.4B109.28BA4B19.4B$357.4B24.4B107.32B22.4B$358.4B24.4B
103.2B.2B2A7B3.16B25.4B$359.4B24.4B101.2A3BA2BA3B.B7.13B26.4B$360.4B
24.4B100.2AB.2B2A2B11.12B28.4B$361.4B24.4B100.B2.6B11.13B28.4B$362.4B
24.4B103.4B12.12B30.4B$363.4B24.4B102.4B13.10B32.4B$364.4B24.4B102.2B
16.8B33.4B$365.4B24.4B122.5B34.4B$366.4B24.4B121.6B34.4B$367.4B24.4B
119.7B35.4B$368.4B24.4B119.6B36.4B$369.4B24.4B118.10B33.4B$370.4B24.
4B117.11B17.2A14.4B$371.4B24.4B113.2B.11B8.2A6.B2AB14.4B$372.4B24.4B
111.2A14B6.B2AB5.3B16.4B$373.4B24.4B110.2AB.12B6.3B7.B18.4B$374.4B24.
4B110.B.13B2.B4.B.2B3.5B17.4B$375.4B24.4B111.29BA4B16.4B$376.4B24.4B
111.27BABA4B16.4B$377.4B24.4B110.27BABA4B17.4B$378.4B24.4B109.28BA4B
19.4B$379.4B24.4B107.32B22.4B$380.4B24.4B103.2B.2B2A7B3.16B25.4B$381.
4B24.4B101.2A3BA2BA3B.B7.13B26.4B$382.4B24.4B100.2AB.2B2A2B11.12B28.
4B$383.4B24.4B100.B2.6B11.13B28.4B$384.4B24.4B103.4B12.12B30.4B$385.
4B24.4B102.4B13.10B32.4B$386.4B24.4B102.2B16.8B33.4B$387.4B24.4B122.
5B34.4B$388.4B24.4B121.6B34.4B$389.4B24.4B119.7B35.4B$390.4B24.4B119.
6B36.4B$391.4B24.4B118.10B33.4B$392.4B24.4B117.11B17.2A14.4B$393.4B
24.4B113.2B.11B8.2A6.B2AB14.4B$394.4B24.4B111.2A14B6.B2AB5.3B16.4B$
395.4B24.4B110.2AB.12B6.3B7.B18.4B$396.4B24.4B110.B.13B2.B4.B.2B3.5B
17.4B$397.4B24.4B111.29BA4B16.4B$398.4B24.4B111.27BABA4B16.4B$399.4B
24.4B110.27BABA4B17.4B$400.4B24.4B109.28BA4B19.4B$401.4B24.4B107.32B
22.4B$402.4B24.4B103.2B.2B2A7B3.16B25.4B$403.4B24.4B101.2A3BA2BA3B.B
7.13B26.4B$404.4B24.4B100.2AB.2B2A2B11.12B28.4B$405.4B24.4B100.B2.6B
11.13B28.4B$406.4B24.4B103.4B12.12B30.4B$407.4B24.4B102.4B13.10B32.4B
$408.4B24.4B102.2B16.8B33.4B$409.4B24.4B122.5B34.4B$410.4B24.4B121.6B
34.4B$411.4B24.4B119.7B35.4B$412.4B24.4B119.6B36.4B$413.4B24.4B118.
10B33.4B$414.4B24.4B117.11B17.2A14.4B$415.4B24.4B113.2B.11B8.2A6.B2AB
14.4B$416.4B24.4B111.2A14B6.B2AB5.3B16.4B$417.4B24.4B110.2AB.12B6.3B
7.B18.4B$418.4B24.4B110.B.13B2.B4.B.2B3.5B17.4B$419.4B24.4B111.29BA4B
16.4B$420.4B24.4B111.27BABA4B16.4B$421.4B24.4B110.27BABA4B17.4B$422.
4B24.4B109.28BA4B19.4B$423.4B24.4B107.32B22.4B$424.4B24.4B103.2B.2B2A
7B3.16B25.4B$425.4B24.4B101.2A3BA2BA3B.B7.13B26.4B$426.4B24.4B100.2AB
.2B2A2B11.12B28.4B$427.4B24.4B100.B2.6B11.13B28.4B$428.4B24.4B103.4B
12.12B30.4B$429.4B24.4B102.4B13.10B32.4B$430.4B24.4B102.2B16.8B33.4B$
431.4B24.4B122.5B34.4B$432.4B24.4B121.6B34.4B$433.4B24.4B119.7B35.4B$
434.4B24.4B119.6B36.4B$435.4B24.4B118.10B33.4B$436.4B24.4B117.11B17.
2A14.4B$437.4B24.4B113.2B.11B8.2A6.B2AB14.4B$438.4B24.4B111.2A14B6.B
2AB5.3B16.4B$439.4B24.4B110.2AB.12B6.3B7.B18.4B$440.4B24.4B110.B.13B
2.B4.B.2B3.5B17.4B$441.4B24.4B111.29BA4B16.4B$442.4B24.4B111.27BABA4B
16.4B$443.4B24.4B110.27BABA4B17.4B$444.4B24.4B109.28BA4B19.4B$445.4B
24.4B107.32B22.4B$446.4B24.4B103.2B.2B2A7B3.16B25.4B$447.4B24.4B101.
2A3BA2BA3B.B7.13B26.4B$448.4B24.4B100.2AB.2B2A2B11.12B28.4B$449.4B24.
4B100.B2.6B11.13B28.4B$450.4B24.4B103.4B12.12B30.4B$451.4B24.4B102.4B
13.10B32.4B$452.4B24.4B102.2B16.8B33.4B$453.4B24.4B122.5B34.4B$454.4B
24.4B121.6B34.4B$455.4B24.4B119.7B35.4B$456.4B24.4B119.6B36.4B$457.4B
24.4B118.10B33.4B$458.4B24.4B117.11B17.2A14.4B$459.4B24.4B113.2B.11B
8.2A6.B2AB14.4B$460.4B24.4B111.2A14B6.B2AB5.3B16.4B$461.4B24.4B110.2A
B.12B6.3B7.B18.4B$462.4B24.4B110.B.13B2.B4.B.2B3.5B17.4B$463.4B24.4B
111.29BA4B16.4B$464.4B24.4B111.27BABA4B16.4B$465.4B24.4B110.27BABA4B
17.4B$466.4B24.4B109.28BA4B19.4B$467.4B24.4B107.32B22.4B$468.4B24.4B
103.2B.2B2A7B3.16B25.4B$469.4B24.4B101.2A3BA2BA3B.B7.13B26.4B$470.4B
24.4B100.2AB.2B2A2B11.12B28.4B$471.4B24.4B100.B2.6B11.13B28.4B$472.4B
24.4B103.4B12.12B30.4B$473.4B24.4B102.4B13.10B32.4B$474.4B24.4B102.2B
16.8B33.4B$475.4B24.4B122.5B34.4B$476.4B24.4B121.6B34.4B$477.4B24.4B
119.7B35.4B$478.4B24.4B119.6B36.4B$479.4B24.4B118.10B33.4B$480.4B24.
4B117.11B17.2A14.4B$481.4B24.4B113.2B.11B8.2A6.B2AB14.4B$482.4B24.4B
111.2A14B6.B2AB5.3B16.4B$483.4B24.4B110.2AB.12B6.3B7.B18.4B$484.4B24.
4B110.B.13B2.B4.B.2B3.5B17.4B$485.4B24.4B111.29BA4B16.4B$486.4B24.4B
111.27BABA4B16.4B$487.4B24.4B110.27BABA4B17.4B$488.4B24.4B109.28BA4B
19.4B$489.4B24.4B107.32B22.4B$490.4B24.4B103.2B.2B2A7B3.16B25.4B$491.
4B24.4B101.2A3BA2BA3B.B7.13B26.4B$492.4B24.4B100.2AB.2B2A2B11.12B28.
4B$493.4B24.4B100.B2.6B11.13B28.4B$494.4B24.4B103.4B12.12B30.4B$495.
4B24.4B102.4B13.10B32.4B$496.4B24.4B102.2B16.8B33.4B$497.4B24.4B122.
5B34.4B$498.4B24.4B121.6B34.4B$499.4B24.4B119.7B35.4B$500.4B24.4B119.
6B36.4B$501.4B24.4B118.10B33.4B$502.4B24.4B117.11B17.2A14.4B$503.4B
24.4B113.2B.11B8.2A6.B2AB14.4B$504.4B24.4B111.2A14B6.B2AB5.3B16.4B$
505.4B24.4B110.2AB.12B6.3B7.B18.4B$506.4B24.4B110.B.13B2.B4.B.2B3.5B
17.4B$507.4B24.4B111.29BA4B16.4B$508.4B24.4B111.27BABA4B16.4B$509.4B
24.4B110.27BABA4B17.4B$510.4B24.4B109.28BA4B19.4B$511.4B24.4B107.32B
22.4B$512.4B24.4B103.2B.2B2A7B3.16B25.4B$513.4B24.4B101.2A3BA2BA3B.B
7.13B26.4B$514.4B24.4B100.2AB.2B2A2B11.12B28.4B$515.4B24.4B100.B2.6B
11.13B28.4B$516.4B24.4B103.4B12.12B30.4B$517.4B24.4B102.4B13.10B32.4B
$518.4B24.4B102.2B16.8B33.4B$519.4B24.4B122.5B34.4B$520.4B24.4B121.6B
34.4B$521.4B24.4B119.7B35.4B$522.4B24.4B119.6B36.4B$523.4B24.4B118.
10B33.4B$524.4B24.4B117.11B17.2A14.4B$525.4B24.4B113.2B.11B8.2A6.B2AB
14.4B$526.4B24.4B111.2A14B6.B2AB5.3B16.4B$527.4B24.4B110.2AB.12B6.3B
7.B18.4B$528.4B24.4B110.B.13B2.B4.B.2B3.5B17.4B$529.4B24.4B111.29BA4B
16.4B$530.4B24.4B111.27BABA4B16.4B$531.4B24.4B110.27BABA4B17.4B$532.
4B24.4B109.28BA4B19.4B$533.4B24.4B107.32B22.4B$534.4B24.4B103.2B.2B2A
7B3.16B25.4B$535.4B24.4B101.2A3BA2BA3B.B7.13B26.4B$536.4B24.4B100.2AB
.2B2A2B11.12B28.4B$537.4B24.4B100.B2.6B11.13B28.4B$538.4B24.4B103.4B
12.12B30.4B$539.4B24.4B102.4B13.10B32.4B$540.4B24.4B102.2B16.8B33.4B$
541.4B24.4B122.5B34.4B$542.4B24.4B121.6B34.4B$543.4B24.4B119.7B35.4B$
544.4B24.4B119.6B36.4B$545.4B24.4B118.10B33.4B$546.4B24.4B117.11B17.
2A14.4B$547.4B24.4B113.2B.11B8.2A6.B2AB14.4B$548.4B24.4B111.2A14B6.B
2AB5.3B16.4B$549.4B24.4B110.2AB.12B6.3B7.B18.4B$550.4B24.4B110.B.13B
2.B4.B.2B3.5B17.4B$551.4B24.4B111.29BA4B16.4B$552.4B24.4B111.27BABA4B
16.4B$553.4B24.4B110.27BABA4B17.4B$554.4B24.4B109.28BA4B19.4B$555.4B
24.4B107.32B22.4B$556.4B24.4B103.2B.2B2A7B3.16B25.4B$557.4B24.4B101.
2A3BA2BA3B.B7.13B26.4B$558.4B24.4B100.2AB.2B2A2B11.12B28.4B$559.4B24.
4B100.B2.6B11.13B28.4B$560.4B24.4B103.4B12.12B30.4B$561.4B24.4B102.4B
13.10B32.4B$562.4B24.4B102.2B16.8B33.4B$563.4B24.4B122.5B34.4B$564.4B
24.4B121.6B34.4B$565.4B24.4B119.7B35.4B$566.4B24.4B119.6B36.4B$567.4B
24.4B118.10B33.4B$568.4B24.4B117.11B17.2A14.4B$569.4B24.4B113.2B.11B
8.2A6.B2AB14.4B$570.4B24.4B111.2A14B6.B2AB5.3B16.4B$571.4B24.4B110.2A
B.12B6.3B7.B18.4B$572.4B24.4B110.B.13B2.B4.B.2B3.5B17.4B$573.4B24.4B
111.29BA4B16.4B$574.4B24.4B111.27BABA4B16.4B$575.4B24.4B110.27BABA4B
17.4B$576.4B24.4B109.28BA4B19.4B$577.4B24.4B107.32B22.4B$578.4B24.4B
103.2B.2B2A7B3.16B25.4B$579.4B24.4B101.2A3BA2BA3B.B7.13B26.4B$580.4B
24.4B100.2AB.2B2A2B11.12B28.4B$581.4B24.4B100.B2.6B11.13B28.4B$582.4B
24.4B103.4B12.12B30.4B$583.4B24.4B102.4B13.10B32.4B$584.4B24.4B102.2B
16.8B33.4B$585.4B24.4B122.5B34.4B$586.4B24.4B121.6B34.4B$587.4B24.4B
119.7B35.4B$588.4B24.4B119.6B36.4B$589.4B24.4B118.10B33.4B$590.4B24.
4B117.11B17.2A14.4B$591.4B24.4B113.2B.11B8.2A6.B2AB14.4B$592.4B24.4B
111.2A14B6.B2AB5.3B16.4B$593.4B24.4B110.2AB.12B6.3B7.B18.4B$594.4B24.
4B110.B.13B2.B4.B.2B3.5B17.4B$595.4B24.4B111.29BA4B16.4B$596.4B24.4B
111.27BABA4B16.4B$597.4B24.4B110.27BABA4B17.4B$598.4B24.4B109.28BA4B
19.4B$599.4B24.4B107.32B22.4B$600.4B24.4B103.2B.2B2A7B3.16B25.4B$601.
4B24.4B101.2A3BA2BA3B.B7.13B26.4B$602.4B24.4B100.2AB.2B2A2B11.12B28.
4B$603.4B24.4B100.B2.6B11.13B28.4B$604.4B24.4B103.4B12.12B30.4B$605.
4B24.4B102.4B13.10B32.4B$606.4B24.4B102.2B16.8B33.4B$607.4B24.4B122.
5B34.4B$608.4B24.4B121.6B34.4B$609.4B24.4B119.7B35.4B$610.4B24.4B119.
6B36.4B$611.4B24.4B118.10B33.4B$612.4B24.4B117.11B17.2A14.4B$613.4B
24.4B113.2B.11B8.2A6.B2AB14.4B$614.4B24.4B111.2A14B6.B2AB5.3B16.4B$
615.4B24.4B110.2AB.12B6.3B7.B18.4B$616.4B24.4B110.B.13B2.B4.B.2B3.5B
17.4B$617.4B24.4B111.29BA4B16.4B$618.4B24.4B111.27BABA4B16.4B$619.4B
24.4B110.27BABA4B17.4B$620.4B24.4B109.28BA4B19.4B$621.4B24.4B107.32B
22.4B$622.4B24.4B103.2B.2B2A7B3.16B25.4B$623.4B24.4B101.2A3BA2BA3B.B
7.13B26.4B$624.4B24.4B100.2AB.2B2A2B11.12B28.4B$625.4B24.4B100.B2.6B
11.13B28.4B$626.4B24.4B103.4B12.12B30.4B$627.4B24.4B102.4B13.10B32.4B
$628.4B24.4B102.2B16.8B33.4B$629.4B24.4B122.5B34.4B$630.4B24.4B121.6B
34.4B$631.4B24.4B119.7B35.4B$632.4B24.4B119.6B36.4B$633.4B24.4B118.
10B33.4B$634.4B24.4B117.11B17.2A14.4B$635.4B24.4B113.2B.11B8.2A6.B2AB
14.4B$636.4B24.4B111.2A14B6.B2AB5.3B16.4B$637.4B24.4B110.2AB.12B6.3B
7.B18.4B$638.4B24.4B110.B.13B2.B4.B.2B3.5B17.4B$639.4B24.4B111.29BA4B
16.4B$640.4B24.4B111.27BABA4B16.4B$641.4B24.4B110.27BABA4B17.4B$642.
4B24.4B109.28BA4B19.4B$643.4B24.4B107.32B22.4B$644.4B24.4B103.2B.2B2A
7B3.16B25.4B$645.4B24.4B101.2A3BA2BA3B.B7.13B26.4B$646.4B24.4B100.2AB
.2B2A2B11.12B28.4B$647.4B24.4B100.B2.6B11.13B28.4B$648.4B24.4B103.4B
12.12B30.4B$649.4B24.4B102.4B13.10B32.4B$650.4B24.4B102.2B16.8B33.4B$
651.4B24.4B122.5B34.4B$652.4B24.4B121.6B34.4B$653.4B24.4B119.7B35.4B$
654.4B24.4B119.6B36.4B$655.4B24.4B118.10B33.4B$656.4B24.4B117.11B17.
2A14.4B$657.4B24.4B113.2B.11B8.2A6.B2AB14.4B$658.4B24.4B111.2A14B6.B
2AB5.3B16.4B$659.4B24.4B110.2AB.12B6.3B7.B18.4B$660.4B24.4B110.B.13B
2.B4.B.2B3.5B17.4B$661.4B24.4B111.29BA4B16.4B$662.4B24.4B111.27BABA4B
16.4B$663.4B24.4B110.27BABA4B17.4B$664.4B24.4B109.28BA4B19.4B$665.4B
24.4B107.32B22.4B$666.4B24.4B103.2B.2B2A7B3.16B25.4B$667.4B24.4B101.
2A3BA2BA3B.B7.13B26.4B$668.4B24.4B100.2AB.2B2A2B11.12B28.4B$669.4B24.
4B100.B2.6B11.13B28.4B$670.4B24.4B103.4B12.12B30.4B$671.4B24.4B102.4B
13.10B32.4B$672.4B24.4B102.2B16.8B33.4B$673.4B24.4B122.5B34.4B$674.4B
24.4B121.6B34.4B$675.4B24.4B119.7B35.4B$676.4B24.4B119.6B36.4B$677.4B
24.4B118.10B33.4B$678.4B24.4B117.11B17.2A14.4B$679.4B24.4B113.2B.11B
8.2A6.B2AB14.4B$680.4B24.4B111.2A14B6.B2AB5.3B16.4B$681.4B24.4B110.2A
B.12B6.3B7.B18.4B$682.4B24.4B110.B.13B2.B4.B.2B3.5B17.4B$683.4B24.4B
111.29BA4B16.4B$684.4B24.4B111.27BABA4B16.4B$685.4B24.4B110.27BABA4B
17.4B$686.4B24.4B109.28BA4B19.4B$687.4B24.4B107.32B22.4B$688.4B24.4B
103.2B.2B2A7B3.16B25.4B$689.4B24.4B101.2A3BA2BA3B.B7.13B26.4B$690.4B
24.4B100.2AB.2B2A2B11.12B28.4B$691.4B24.4B100.B2.6B11.13B28.4B$692.4B
24.4B103.4B12.12B30.4B$693.4B24.4B102.4B13.10B32.4B$694.4B24.4B102.2B
16.8B33.4B$695.4B24.4B122.5B34.4B$696.4B24.4B121.6B34.4B$697.4B24.4B
119.7B35.4B$698.4B24.4B119.6B36.4B$699.4B24.4B118.10B33.4B$700.4B24.
4B117.11B17.2A14.4B$701.4B24.4B113.2B.11B8.2A6.B2AB14.4B$702.4B24.4B
111.2A14B6.B2AB5.3B16.4B$703.4B24.4B110.2AB.12B6.3B7.B18.4B$704.4B24.
4B110.B.13B2.B4.B.2B3.5B17.4B$705.4B24.4B111.29BA4B16.4B$706.4B24.4B
111.27BABA4B16.4B$707.4B24.4B110.27BABA4B17.4B$708.4B24.4B109.28BA4B
19.4B$709.4B24.4B107.32B22.4B$710.4B24.4B103.2B.2B2A7B3.16B25.4B$711.
4B24.4B101.2A3BA2BA3B.B7.13B26.4B$712.4B24.4B100.2AB.2B2A2B11.12B28.
4B$713.4B24.4B100.B2.6B11.13B28.4B$714.4B24.4B103.4B12.12B30.4B$715.
4B24.4B102.4B13.10B32.4B$716.4B24.4B102.2B16.8B33.4B$717.4B24.4B122.
5B34.4B$718.4B24.4B121.6B34.4B$719.4B24.4B119.7B35.4B$720.4B24.4B119.
6B36.4B$721.4B24.4B118.10B33.4B$722.4B24.4B117.11B17.2A14.4B$723.4B
24.4B113.2B.11B8.2A6.B2AB14.4B$724.4B24.4B111.2A14B6.B2AB5.3B16.4B$
725.4B24.4B110.2AB.12B6.3B7.B18.4B$726.4B24.4B110.B.13B2.B4.B.2B3.5B
17.4B$727.4B24.4B111.29BA4B16.4B$728.4B24.4B111.27BABA4B16.4B$729.4B
24.4B110.27BABA4B17.4B$730.4B24.4B109.28BA4B19.4B$731.4B24.4B107.32B
22.4B$732.4B24.4B103.2B.2B2A7B3.16B25.4B$733.4B24.4B101.2A3BA2BA3B.B
7.13B26.4B$734.4B24.4B100.2AB.2B2A2B11.12B28.4B$735.4B24.4B100.B2.6B
11.13B28.4B$736.4B24.4B103.4B12.12B30.4B$737.4B24.4B102.4B13.10B32.4B
$738.4B24.4B102.2B16.8B33.4B$739.4B24.4B122.5B34.4B$740.4B24.4B121.6B
34.4B$741.4B24.4B119.7B35.4B$742.4B24.4B119.6B36.4B$743.4B24.4B118.
10B33.4B$744.4B24.4B117.11B17.2A14.4B$745.4B24.4B113.2B.11B8.2A6.B2AB
14.4B$746.4B24.4B111.2A14B6.B2AB5.3B16.4B$747.4B24.4B110.2AB.12B6.3B
7.B18.4B$748.4B24.4B110.B.13B2.B4.B.2B3.5B17.4B$749.4B24.4B111.29BA4B
16.4B$750.4B24.4B111.27BABA4B16.4B$751.4B24.4B110.27BABA4B17.4B$752.
4B24.4B109.28BA4B19.4B$753.4B24.4B107.32B22.4B$754.4B24.4B103.2B.2B2A
7B3.16B25.4B$755.4B24.4B101.2A3BA2BA3B.B7.13B26.4B$756.4B24.4B100.2AB
.2B2A2B11.12B28.4B$757.4B24.4B100.B2.6B11.13B28.4B$758.4B24.4B103.4B
12.12B30.4B$759.4B24.4B102.4B13.10B32.4B$760.4B24.4B102.2B16.8B33.4B$
761.4B24.4B122.5B34.4B$762.4B24.4B121.6B34.4B$763.4B24.4B119.7B35.4B$
764.4B24.4B119.6B36.4B$765.4B24.4B118.10B33.4B$766.4B24.4B117.11B17.
2A14.4B$767.4B24.4B113.2B.11B8.2A6.B2AB14.4B$768.4B24.4B111.2A14B6.B
2AB5.3B16.4B$769.4B24.4B110.2AB.12B6.3B7.B18.4B$770.4B24.4B110.B.13B
2.B4.B.2B3.5B17.4B$771.4B24.4B111.29BA4B16.4B$772.4B24.4B111.27BABA4B
16.4B$773.4B24.4B110.27BABA4B17.4B$774.4B24.4B109.28BA4B19.4B$775.4B
24.4B107.32B22.4B$776.4B24.4B103.2B.2B2A7B3.16B25.4B$777.4B24.4B101.
2A3BA2BA3B.B7.13B26.4B$778.4B24.4B100.2AB.2B2A2B11.12B28.4B$779.4B24.
4B100.B2.6B11.13B28.4B$780.4B24.4B103.4B12.12B30.4B$781.4B24.4B102.4B
13.10B32.4B$782.4B24.4B102.2B16.8B33.4B$783.4B24.4B122.5B34.4B$784.4B
24.4B121.6B34.4B$785.4B24.4B119.7B35.4B$786.4B24.4B119.6B36.4B$787.4B
24.4B118.10B33.4B$788.4B24.4B117.11B17.2A14.4B$789.4B24.4B113.2B.11B
8.2A6.B2AB14.4B$790.4B24.4B111.2A14B6.B2AB5.3B16.4B$791.4B24.4B110.2A
B.12B6.3B7.B18.4B$792.4B24.4B110.B.13B2.B4.B.2B3.5B17.4B$793.4B24.4B
111.29BA4B16.4B$794.4B24.4B111.27BABA4B16.4B$795.4B24.4B110.27BABA4B
17.4B$796.4B24.4B109.28BA4B19.4B$797.4B24.4B107.32B22.4B$798.4B24.4B
103.2B.2B2A7B3.16B25.4B$799.4B24.4B101.2A3BA2BA3B.B7.13B26.4B$800.4B
24.4B100.2AB.2B2A2B11.12B28.4B$801.4B24.4B100.B2.6B11.13B28.4B$802.4B
24.4B103.4B12.12B30.4B$803.4B24.4B102.4B13.10B32.4B$804.4B24.4B102.2B
16.8B33.4B$805.4B24.4B122.5B34.4B$806.4B24.4B121.6B34.4B$807.4B24.4B
119.7B35.4B$808.4B24.4B119.6B36.4B$809.4B24.4B118.10B33.4B$810.4B24.
4B117.11B17.2A14.4B$811.4B24.4B113.2B.11B8.2A6.B2AB14.4B$812.4B24.4B
111.2A14B6.B2AB5.3B16.4B$813.4B24.4B110.2AB.12B6.3B7.B18.4B$814.4B24.
4B110.B.13B2.B4.B.2B3.5B17.4B$815.4B24.4B111.29BA4B16.4B$816.4B24.4B
111.27BABA4B16.4B$817.4B24.4B110.27BABA4B17.4B$818.4B24.4B109.28BA4B
19.4B$819.4B24.4B107.32B22.4B$820.4B24.4B103.2B.2B2A7B3.16B25.4B$821.
4B24.4B101.2A3BA2BA3B.B7.13B26.4B$822.4B24.4B100.2AB.2B2A2B11.12B28.
4B$823.4B24.4B100.B2.6B11.13B28.4B$824.4B24.4B103.4B12.12B30.4B$825.
4B24.4B102.4B13.10B32.4B$826.4B24.4B102.2B16.8B33.4B$827.4B24.4B122.
5B34.4B$828.4B24.4B121.6B34.4B$829.4B24.4B119.7B35.4B$830.4B24.4B119.
6B36.4B$831.4B24.4B118.10B33.4B$832.4B24.4B117.11B17.2A14.4B$833.4B
24.4B113.2B.11B8.2A6.B2AB14.4B$834.4B24.4B111.2A14B6.B2AB5.3B16.4B$
835.4B24.4B110.2AB.12B6.3B7.B18.4B$836.4B24.4B110.B.13B2.B4.B.2B3.5B
17.4B$837.4B24.4B111.29BA4B16.4B$838.4B24.4B111.27BABA4B16.4B$839.4B
24.4B110.27BABA4B17.4B$840.4B24.4B109.28BA4B19.4B$841.4B24.4B107.32B
22.4B13.A$842.4B24.4B103.2B.2B2A7B3.16B25.4B10.3A$843.4B24.4B101.2A3B
A2BA3B.B7.13B26.4B8.A$844.4B24.4B100.2AB.2B2A2B11.12B28.2BDB7.2A$845.
4B24.4B100.B2.6B11.13B28.2B2D3.5B$846.4B24.4B103.4B12.12B30.2D2B2.3B$
847.4B24.4B102.4B13.10B32.9B7.2A$848.4B24.4B102.2B16.8B33.8B8.A$849.
4B24.4B122.5B34.10B3.B.A.2A$850.4B24.4B121.6B33.7B2A2B.B3A2.A$851.4B
24.4B119.7B33.7B2A3BAB2.2A$852.4B24.4B119.6B33.12B4A$853.4B24.4B118.
10B27.2AB.7B3.2B.A$854.4B24.4B117.BDB2D6B17.2A6.A.AB.7B2.B3A$855.4B
24.4B113.2B.B3D7B8.2A6.B2AB5.A5.4B4.A$856.4B24.4B111.2A4BD9B6.B2AB5.
3B5.2A5.4B5.5A$857.4B24.4B110.2AB.12B6.3B7.B12.4B10.A$858.4B24.4B110.
B.13B2.B4.B.2B3.5B9.4B9.A$859.4B24.4B111.29BA4B6.4B10.2A$860.4B24.4B
111.27BABA4B4.4B$861.4B24.4B110.27BABA4B3.4B$862.4B24.4B109.28BA4B3.
4B$863.4B24.4B107.32B4.4B$864.4B24.4B103.2B.2B2A7B3.16B5.4B$865.4B24.
4B101.2A3BA2BA3B.B7.13B4.4B$866.4B24.4B100.2AB.2B2A2B11.12B4.4B$867.
4B24.4B100.B2.6B11.13B2.4B$868.4B24.4B103.4B12.12B2.4B$869.4B24.4B
102.4B13.10B2.4B$870.4B24.4B102.2B16.8B.4B$871.4B24.4B122.9B$872.4B
24.4B121.8B$873.4B24.4B119.8B$874.4B24.4B119.5B$875.4B24.4B118.6B$
876.4B24.4B117.6B$877.4B24.4B115.7B$878.4B24.4B114.6B$879.4B24.4B114.
6B5.A$880.4B24.4B113.5B4.3A$881.4B24.4B111.8B.A$882.4B24.4B110.8BA.A$
883.4B24.4B100.2A7.6B.2BAB$884.4B24.4B100.A6.2B3C2B2.2B$885.4B24.4B
99.A.AB3.4BC2B3.B.A$886.4B24.4B99.2AB2.4B3CB2.A.A.A$887.4B24.4B100.
11B2.2A2.A$888.4B24.4B99.11B6.2A$889.4B24.4B98.11B$890.4B24.4B96.11B$
891.4B24.3BA96.7B.2B$892.4B24.B2AB95.11B$893.4B24.ABAB95.10B$894.4B
24.4B94.12B$895.4B24.4B94.13B$896.4B24.4B90.17B$897.4B24.4B88.18B$
898.4B24.4B86.2B2A13B.B2A$899.4B24.4B86.B2A6B.4B3.BA.A$900.4B24.4B84.
8B4.B8.A$901.4B24.4B83.6B15.2A$902.4B24.4B82.7B$903.4B24.4B82.6B$904.
4B24.4B74.A5.6B$905.4B24.4B73.3A4.5B$906.4B24.B3A75.A.8B$907.4B24.A3B
73.A.A8B$908.4B24.A3B72.BA2B.6B7.2A$909.4B24.4B72.2B2.7B6.A$910.4B24.
4B69.A.B3.7B3.BA.A$911.4B24.4B67.A.A.A2.8B2.B2A$912.4B24.4B66.A2.2A2.
11B$913.4B24.4B64.2A6.11B$914.4B24.4B71.11B$915.4B24.4B71.11B$916.4B
24.4B73.7B$917.4B24.4B71.8B3.2A$918.4B24.4B69.8B4.A$919.4B24.4B61.A7.
7B.BA.A$920.4B24.2B2A60.3A4.8B.B2A$921.4B24.2A2B62.A3.10B$922.4B24.BA
2B60.2A3.10B$923.4B24.4B59.4BA10B$924.4B24.4B60.BABA11B$925.4B24.4B
59.BA2BA11B9.A$926.4B24.4B56.4B2A11B8.3A$927.4B24.4B54.18B7.A$928.4B
24.4B54.11B2.4B7.2A$929.4B24.4B36.2A15.11B3.4B3.5B$930.4B24.4B34.B2AB
6.2A7.8B6.4B2.3B$931.4B24.4B34.3B5.B2AB6.8B7.9B7.2A$932.4B24.4B34.B7.
3B4.10B8.8B8.A$933.4B24.4B31.5B3.2B.B5.10B9.10B3.B.A.2A$934.4B24.4B
28.4BA24B9.7B2A2B.B3A2.A$935.4B24.4B26.4BABA23B9.7B2A3BAB2.2A$936.4B
24.4B25.4BABA23B9.12B4A$937.4B24.4B25.4BA24B7.2AB.7B3.2B.A$938.4B24.
4B26.26B7.A.AB.7B2.B3A$939.4B24.4B27.20B2.B8.A5.4B4.A$940.4B24.4B26.
13B.B3.2B10.2A5.4B5.5A$941.4B24.4B26.12B4.BA17.4B10.A$942.4B24.4B24.
13B4.A.A15.4B9.A$943.4B24.4B24.12B5.2A14.4B10.2A$944.4B24.4B24.10B21.
4B$945.4B24.4B23.8B22.4B$946.4B24.4B22.5B24.4B$947.4B24.4B20.6B5.A17.
4B$948.4B24.4B19.7B2.3A16.4B$949.4B24.4B19.5B2.A18.4B$950.2B2A24.4B
17.7B2.A16.4B$951.2A2B24.4B16.8B2A15.4B$952.BA2B24.4B6.A8.7BA16.4B$
953.4B24.4B5.3A7.6B.2A13.4B$954.4B24.4B7.A5.6B3.A12.4B$955.4B24.4B5.
2A4.7B3.A.A9.4B$956.4B24.4B4.12B5.2A8.4B$957.4B24.4B5.6B4.A13.4B$958.
4B24.4B2.8B4.3A10.4B$959.4B24.15B5.A8.4B$960.4B24.14B4.2A7.4B$961.4B
24.13B12.4B$962.4B24.10B.B2A9.4B$963.4B25.3B2AB3.BA.A7.4B$964.2B2A24.
3B2AB6.A6.4B$965.BABA25.4B6.2A4.4B$966.A3B24.3B12.4B$967.4B20.AB.2B
12.4B$968.4B18.A.AB2AB10.4B$969.4B17.A.ABABAB8.4B$970.4B13.2A.A.A.A.A
2.A5.4B$971.4B12.A2.A2.2A.4A4.4B$972.4B13.2A4.A7.4B$973.4B18.A.A4.4B$
974.4B18.2A3.4B$975.4B21.4B$976.4B19.4B$977.4B6.A10.4B$978.3BA5.3A7.
4B$979.B2AB7.A5.4B$980.ABAB5.2A4.4B$981.4B4.9B$982.4B5.6B$983.4B2.8B$
984.15B$985.14B$986.13B$987.10B.B2A$989.3B2AB3.BA.A$989.3B2AB6.A$991.
4B6.2A$991.3B$988.AB.2B$987.A.AB2AB$987.A.ABABAB$984.2A.A.A.A.A2.A$
984.A2.A2.2A.4A$986.2A4.A$992.A.A$993.2A!

Not that finding such toolkit would be likely to reduce any bounding boxes -- but I think it would be fun to know if this is at all possible.

[pipsqueek]

what is the sequence of the glider steam?

Code: Select all

x = 32, y = 32, rule = B3/S23
8bo7bo$7b3o5b3o4b3o$6b2obo4b2o2bo3bo2bo$6b3o5bo3bo3bo$7b2o4bo2b2o4bo$
14bo8bo$2bo25b2o$bo25b4o$bo3bo21b2ob2o$b4o24b2o4$2b2o23bo$bo2bo21bob2o
$2o2bo24b2o$b2o24bo2b2o$2b2obo21bo2bo$4bo23b2o4$b2o24b4o$2ob2o21bo3bo$
b4o25bo$2b2o25bo$8bo8bo$9bo4b2o2bo4b2o$9bo3bo3bo5b3o$6bo2bo3bo2b2o4bob
2o$7b3o4b3o5b3o$15bo7bo!

EDIT: typo, I meant stream

[confocaloid]

what is the sequence of the glider steam?

Code: Select all

x = 32, y = 32, rule = B3/S23
8bo7bo$7b3o5b3o4b3o$6b2obo4b2o2bo3bo2bo$6b3o5bo3bo3bo$7b2o4bo2b2o4bo$
14bo8bo$2bo25b2o$bo25b4o$bo3bo21b2ob2o$b4o24b2o4$2b2o23bo$bo2bo21bob2o
$2o2bo24b2o$b2o24bo2b2o$2b2obo21bo2bo$4bo23b2o4$b2o24b4o$2ob2o21bo3bo$
b4o25bo$2b2o25bo$8bo8bo$9bo4b2o2bo4b2o$9bo3bo3bo5b3o$6bo2bo3bo2b2o4bob
2o$7b3o4b3o5b3o$15bo7bo!

There is a similar pattern in Golly's built-in collection, "Patterns/HashLife/Eventful/roth.mc". As a RLE:

Code: Select all

#C Patterns/HashLife/Eventful/roth.mc converted to RLE
#C ---
#C Roth generator
#C
#C Four puffers produce gliders, whose collisions produce four
#C lines of blinkers representing a transcendental number
#C meeting Roth's transcendence criterion:
#C .110110111110110111110110110..., where the n'th bit is 1 if n
#C is not divisible by 3 and is the complement of the (n/3)'th bit
#C if n is divisible by 3.  See https://www.jjj.de/fxt/fxtbook.pdf, 38.2
#C Built by Bill Gosper, before 1974?
#C From Alan Hensel's 'bclife' collection.
x = 50, y = 50, rule = B3/S23
8bo13bo$7b3o11b3o$6b2obo5bo4b2obo$6b3o5b3o3b3o$7b2o4bo2b2o3b2o$13b3o$
46b2o$37b4o4b4o$36bo3bo4b2ob2o$7b3o30bo6b2o$7bo2bo25bo2bo$7bo$7bo$8bob
o33b2o$44bobo$44bob2o$45b2o$45bo$24bo$23b3o$22b2obo20b2o$22b3o20b4o$
24bo3b2o15b2ob2o$28b3o16b2o$19b2o6b2ob2o$18b2ob2o6b2o$b2o16b3o$2ob2o
15b2o3bo$b4o20b3o$2b2o20bob2o$24b3o$25bo$4bo$3b2o$2b2obo$3bobo$4b2o33b
obo$42bo$42bo$10bo2bo25bo2bo$b2o6bo30b3o$2ob2o4bo3bo$b4o4b4o$2b2o$34b
3o$27b2o3b2o2bo4b2o$27b3o3b3o5b3o$26bob2o4bo5bob2o$26b3o11b3o$27bo13bo!

However, that pattern leaves blinkers where the gliders collide.

Conveniently, if you change the rulestring to B3/S234z, then your pattern still behaves the same way, except the 2G collisions leave bi-blocks instead of vanishing. This makes it easier to read the sequence from the pattern:

Code: Select all

#C The pattern from https://conwaylife.com/forums/viewtopic.php?p=157637#p157637
#C except the rulestring is changed to B3/S234z
x = 32, y = 32, rule = B3/S234z
8bo7bo$7b3o5b3o4b3o$6b2obo4b2o2bo3bo2bo$6b3o5bo3bo3bo$7b2o4bo2b2o4bo$
14bo8bo$2bo25b2o$bo25b4o$bo3bo21b2ob2o$b4o24b2o4$2b2o23bo$bo2bo21bob2o
$2o2bo24b2o$b2o24bo2b2o$2b2obo21bo2bo$4bo23b2o4$b2o24b4o$2ob2o21bo3bo$
b4o25bo$2b2o25bo$8bo8bo$9bo4b2o2bo4b2o$9bo3bo3bo5b3o$6bo2bo3bo2b2o4bob
2o$7b3o4b3o5b3o$15bo7bo!

I'll probably leave the challenge of comparing bit-by-bit sequences produced by the two patterns to someone else :)

[pzq_alex]

what is the sequence of the glider steam?

Code: Select all

x = 32, y = 32, rule = B3/S23
8bo7bo$7b3o5b3o4b3o$6b2obo4b2o2bo3bo2bo$6b3o5bo3bo3bo$7b2o4bo2b2o4bo$
14bo8bo$2bo25b2o$bo25b4o$bo3bo21b2ob2o$b4o24b2o4$2b2o23bo$bo2bo21bob2o
$2o2bo24b2o$b2o24bo2b2o$2b2obo21bo2bo$4bo23b2o4$b2o24b4o$2ob2o21bo3bo$
b4o25bo$2b2o25bo$8bo8bo$9bo4b2o2bo4b2o$9bo3bo3bo5b3o$6bo2bo3bo2b2o4bob
2o$7b3o4b3o5b3o$15bo7bo!

I don't know what a glider "steam" is, but this glider stream is aperiodic. Note that the nth glider deletes the (3n+1)th one, thus the (3n+1)th glider is present iff the nth glider is not. Suppose the minimal period is T. Because all the (3n) and (3n+2)th gliders are present, 3 is a divisor of T. Thus, the subsequence of the (3n+1)th gliders' presence has period T/3, but this sequence is the placewise inverse of the original, so T is not minimal.

This sequence does not seem to be on oeis. It is the fixed point of the morphism '0->111,1->110, and add a 1 to the beginning'. The first few terms are 1,1,1,0,1,1,0,1,1,0,1,1,1...

[dvgrn]

Would an universal stable toolkit / universal set of p1 components be possible with repeat time 57?
...
Not that finding such toolkit would be likely to reduce any bounding boxes -- but I think it would be fun to know if this is at all possible.

If I remember right, the current lower limit for a stable universal construction toolkit is 62 ticks.

As you say, the limitation we run into below that is the lack of a workable signal splitter. Quite possibly there's a way for multiple streams of signals to support each other somehow, and coordinate to split off a clean output signal -- but it might be a fairly hideous tangle, especially if more than two syncrhonized signals are needed. Keeping three or more signals coordinated with such a limited toolkit is likely to take a lot of space, to say the least.

[confocaloid]

Would an universal stable toolkit / universal set of p1 components be possible with repeat time 57?
...
Not that finding such toolkit would be likely to reduce any bounding boxes -- but I think it would be fun to know if this is at all possible.

If I remember right, the current lower limit for a stable universal construction toolkit is 62 ticks.

As you say, the limitation we run into below that is the lack of a workable signal splitter. Quite possibly there's a way for multiple streams of signals to support each other somehow, and coordinate to split off a clean output signal -- but it might be a fairly hideous tangle, especially if more than two syncrhonized signals are needed. Keeping three or more signals coordinated with such a limited toolkit is likely to take a lot of space, to say the least.

Conduit 1 seems to become a major limitation at 57 ticks -- it works only from 58 ticks up. So for example you could make infinitely many distinct composite H-to-H that work at 58 ticks and let a glider escape:

Code: Select all

#C Fx77 + HRx65R + RF28B + BRx46B + BRx46B + BRx46B + BFx59H + Fx77
x = 145, y = 77, rule = LifeHistory
144.A$135.2A5.3A$136.A4.A$136.A.A3.A$137.A.A3.A$138.A3.2A$114.A$95.2A
17.3A12.B.3B.B$96.A20.A10.13B$78.2B15.A20.2A3.B5.2B2A11BD$77.4B14.2A
19.8B3.2B2A9B3DB$77.4B15.B21.8B.13BDBD$73.B2.6B14.3B19.22BD$72.2AB.2B
2A2B13.6B16.15B.2B2.2B$72.2A3BA2BA3B.B8.10B11.17B$73.2B.2B2A7B3.2B2.
11B3.2B2.19B$76.18BD3B2A15BD15B$77.17B2D2B2A15BDBD4B.7B$77.18B2D18B3D
13B$77.18BD21BD14B$76.18BD26B2.8B$74.B.13B2.B4.13B.B2.B11.6B$73.2AB.
12B7.7B.B20.5B$73.2A4BD9B24.A3.2A7.4B$74.2B.B3D7B24.A.A3.A7.3B$77.D2B
2D6B23.A.A3.A9.4B$77.10B24.A4.A12.2A$77.6B27.2A5.3A9.A$76.7B36.A10.3A
$77.6B49.A$77.5B$56.2B16.8B$55.4B13.10B$55.4B12.12B$51.B2.6B11.13B$
50.2AB.2B2A2B11.12B$50.2A3BA2BA3B.B7.13B$51.2B.2B2A7B3.16B$54.18BD13B
$55.17B2D9BA4B$55.18B2D7BABA4B$55.18BD8BABA4B$54.18BD10BA4B$52.B.13B
2.B4.B.2B3.5B$51.2AB.12B6.3B7.B$51.2A4BD9B6.B2AB5.3B$52.2B.B3D7B8.2A
6.B2AB$34.A20.D2B2D6B17.2A$25.2A5.3A20.10B$26.A4.A23.6B$26.A.A3.A7.2A
13.7B$27.A.A3.A7.A6.B4.8B$28.A3.2A7.A.AB2.4B2.8B$4.A37.2AB2.14B.BA$4.
3A12.B.3B.B18.18BA.A$7.A10.18B8.B2A15B.2A$6.2A3.B5.2B2A11BD4B7.A2BA
12B$6.8B3.2B2A9B3D4B2.B.4BABA8BD3B$8.8B.13BDBD4B.8BA8B3D3B$8.22BD26BD
2B$7.15B.2B2.32B$5.17B8.21B$3.18B11.19B$3.2BC15B12.16B$3.2BCBC4B.7B
13.16B$3.2B3C13B10.8B3.8B$3.4BC14B9.2A3.B3.11B$3.8B2.8B11.A7.2A3.7B$
3.B11.6B8.3A9.A3.7BD$15.5B9.A8.3A5.B3.3BD$3.A3.2A7.4B18.A12.3D$2.A.A
3.A7.3B$.A.A3.A9.4B$.A4.A12.2A$2A5.3A9.A$9.A10.3A$22.A!

This works at p58 but fails at p57, because of the Conduit 1. And as soon as you can do H-to-H and let one glider escape, you can also do H-to-H and get out as many gliders as you need. So the current dividing line seems to be between 57 and 58, if I'm not missing something important?