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Execution of Old Guns by Variable-Speed Firing Squad

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

Re: Execution of Old Guns by Variable-Speed Firing Squad

Postby dvgrn » September 4th, 2016, 3:27 pm

chris_c wrote:A new variable p356 using an H->2G by simeks and gmc_nxtman improves glider guns for a significant number of periods...

It will be an even more significant number of periods if you include this trivial variant p564+8N. Due to a fairly insignificant bounding box improvement, it can probably replace most of the p00556_Ns in the present collection:

x = 78, y = 59, rule = LifeHistory
47.2A$47.A.A$49.A4.2A$28.2A15.4A.2A2.A2.A$27.A.A15.A2.A.A.A.A.2A$21.
2A4.A19.BABABA.A$19.A2.A2.2A.4A16.B2ABA.A$19.2A.A.A.A.A2.A17.2B.BA$
22.A.ABABAB18.3B7.A$22.A.AB2AB10.2A6.4B7.3A$23.AB.2B12.A6.B2A3B8.A$
26.3B11.A.AB3.B2A3B7.A.A$26.4B6.2A3.2AB.10B5.A.AB$24.3B2AB6.A6.13B5.A
3B$9.A14.3B2AB3.BA.A6.14B6.4B$9.3A10.10B.B2A7.15B5.6B$12.A8.13B11.8B
2.4B4.7B$11.2A7.14B11.6B5.4B2.8B.4B.B$11.5B3.15B10.9B4.17B.B2A$13.3B
2.4B2.8B11.4B4.2A5.18B2A$3.2A7.9B5.6B10.4B5.A6.16B.2B$3.A8.8B4.9B8.4B
7.3A3.16B$2A.A.B3.10B5.2A4.4B6.4B10.A3.15B$A2.3AB.2B2A7B6.A5.4B4.4B
11.A.2AB.12B$.2A2.BA3B2A7B3.3A7.4B2.4B10.2A.A.AB2.11B$3.4A12B3.A10.8B
11.A2.A5.10B$3.A.2B3.7B.B2A.A11.6B14.2A5.2B2A6B$4.3AB2.7B.BA.A.2A.2A.
A5.4B21.3B2A6B$7.A4.4B5.A2.A.A.2A4.6B21.10B$2.5A5.4B5.3A2.A6.8B20.8B.
B2A.A$2.A10.4B7.3A5.4B2.4B18.7B3.B2AB3A$4.A9.4B5.A7.4B4.4B17.6B6.B4.A
$3.2A10.4B4.2A5.4B6.4B17.6B4.2A.3A$16.9B4.4B8.4B16.5B4.A2.2A$17.6B5.
4B10.4B14.8B.A.A$17.8B2.4B12.4B4.A8.8BA.A.3A$15.15B14.4B3.3A6.6B.2BAB
.A2.A$15.14B16.4B5.A4.7B2.2B2.A.A.A$15.13B18.4B3.2A4.7B3.B.2A2.A.A$
13.2AB.10B20.4B2.4B.8B2.A.A2.A.A.A$12.A.AB3.B2A3B23.4B3.11B2.2A2.2A.
2A$12.A6.B2A3B24.4B.12B$11.2A6.4B27.B3A12B$20.3B28.A13B10.A$21.2B.BA
26.A9B11.3A$20.B2ABA.A24.12B9.A$19.BABABA.A23.16B6.2A$17.A2.A.A.A.A.
2A13.A6.24B$17.4A.2A2.A2.A13.3A3.23B$21.A4.2A18.A2.24B$19.A.A23.A.B.
24B$19.2A24.2A27B$43.2A2.A22B.4B$42.A2.3A3B3.2B3.B7.2B3.4B$43.A4.2B3.
4B.3B5.BA2B3.4B$44.4A5.B2AB.B2AB4.A.A5.3BA$46.A7.2A3.2A6.A7.ABA$48.A
27.2A$47.2A28.B!

EDIT: First I tried replacing both Snarks with bumpers, which worked nicely with p6 bumpers for example, but didn't quite improve anything -- even periods are pretty well optimized already, I guess. Just one Snark->bumper replacement got me a new smaller p385, though:

x = 62, y = 54, rule = LifeHistory
13.2C2.C16.A$13.C2.C.C13.3A$14.C.C.C12.A$13.2C.C.2C11.2A$12.C3.CD.ADB
6.5B$11.C.A2C.BA3D4.BA3B$11.C.D.2C2BC2D4BABA3B$12.CA2C.BA3D.2BA2BA4B$
16.CD.ADB.3B2A4B$10.5C.C.2C5.6B$10.C2.C2.C.C6.3B2D$15.C2.C5.4BDBD$9.A
6.2C5.4B.D3B$9.3A10.4B3.4B$12.A8.4B5.4B$11.2A7.4B7.4B$11.5B3.4B9.4B$
13.3B2.4B11.4B$3.2A7.9B13.4B18.A$3.A8.8B15.4B11.2A3.A.A$2A.A.B3.10B
17.4B11.A3.A2.A$A2.3AB.2B2A7B18.4B10.A.2A.A.A$.2A2.BA3B2A7B19.4B10.A.
A.A.2A$3.4A12B20.4B10.2B2A.A2.A$3.A.2B3.7B.B2A19.4B10.4B2.2A$4.3AB2.
7B.BA.A19.4B6.7B$7.A4.4B5.A20.4B3.8B$2.5A5.4B5.2A15.2A3.2B2A.8B$2.A
10.4B22.A4.BABA8B$4.A9.4B21.A.AB2.A10B.2B$3.2A10.4B10.A10.2AB.14B2A$
16.4B7.3A12.16B2A$17.4B5.A15.14B.2B$13.A4.4B4.2A15.13B$12.A.A4.9B14.
14B.2B$12.A.A5.6B14.18B2A$11.2A.2A5.6B3.B2.2B2.19B.B2A$10.A2.A2.A4.
35B2.B$10.2A2.2AB3.27B.8B$15.14B2A16B2.7B$16.13B2A16B2.7B$17.29B3.7B$
17.17B.B.2B11.6B.BA$18.15B4.3B10.7BA.A$18.15B5.A2B.2A6.8BA$19.13B5.A.
A2B.A6.6B.B$21.13B2.A.AB2.A7.5B$20.8B4.2A.A.A3.A8.6B$20.6B6.2ABA2.4A.
A4.2AB.5B$20.5B8.B2.A.A3.2A3.A.AB3.4B$20.B.B9.2A.2A.A.A6.A7.4B$21.3B
9.A.A3.A.3A2.2A8.3BC$20.B2AB9.A.A4.A2.A13.3BC$21.2A11.A6.2A15.3CB!
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Re: Execution of Old Guns by Variable-Speed Firing Squad

Postby chris_c » September 4th, 2016, 4:57 pm

simeks wrote:Here's a variable P443.


Thanks. It's a shame that a nice gun with period 7 modulo 8 is still elusive.

dvgrn wrote:It will be an even more significant number of periods if you include this trivial variant p564+8N.


Thanks. It also suggests a significant number of tentative guns that I am too lazy to confirm.

dvgrn wrote:Just one Snark->bumper replacement got me a new smaller p385, though:


That also improves p85 and p425. Also you can get a better p369 using a p9 bumper.
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Re: Execution of Old Guns by Variable-Speed Firing Squad

Postby dvgrn » September 9th, 2016, 6:56 pm

chris_c wrote:It's a shame that a nice gun with period 7 modulo 8 is still elusive.

Well, it's possible that we're getting kind of spoiled by all this new technology. Something like the following would have been considered a marvel of compactness half a decade ago. And it can be started up with an input glider from either the southwest or the northeast, if that's any use:

#C p623+8N gun ( = 7 mod 8)
x = 93, y = 65, rule = LifeHistory
25.A$24.A.A$24.A.A$23.2A.2A3.2B$26.B4.3B$23.2AB2AB.4B20.A11.2A$22.A.A
.2AB.5B18.A.A9.B2AB$22.A3.10B17.A.A9.3B$17.A.2A.2A4.7B16.3A.2A9.B.B$
17.2A.A.14B14.A4.B8.5B$20.A3.12B2.4B9.3AB2A6.6B$20.2A2.18B11.A.2A4.8B
$25.18B12.13B$26.17B14.13B$26.17B13.15B$25.18B2.B10.15B$21.B3.23B5.B.
17B$20.2AB.48B$20.2A21B2ABD11B2A13B$21.22B2AB3D9B2A14B$21.3B.21BDBD
20B3.B2A$25.23BD19B4.A2.A$26.26B2.2B2.B3.6B5.2A.A$26.8B3.7B.5B13.6B7.
A$25.5B8.6B.2B14.9B6.2A$24.4B11.3B3.B15.2A4.4B$9.A13.4B13.B21.A5.4B$
9.3A10.4B33.3A7.4B$12.A8.4B34.A10.4B$11.2A7.4B47.4B$11.5B3.4B37.A11.
4B$13.3B2.4B36.3A12.4B$3.2A7.9B36.A16.4B10.2A$3.A8.8B26.A10.2A16.4B9.
A$2A.A.B3.10B26.A.A6.5B17.4B10.A$A2.3AB.2B2A7B26.A.A5.4B13.2A5.4B5.5A
$.2A2.BA3B2A7B24.3A.2A3.6B11.A.A5.4B4.A$3.4A12B23.A4.B4.6B9.3A.A.AB.
7B2.B3A$3.A.2B2.8B.B2A15.A6.3AB2AB.7B8.A5.2AB.7B3.2B.A$4.3AB2.7B.BA.A
2.2A10.3A6.A.2AB2.6B.2B5.2A6.12B4A$7.A2.6B5.A2.A14.A7.21B6.7B2A3BAB2.
2A$2.5A3.6B5.3A2.A11.2A3.B5.17B8.7B2A2B.B3A2.A$2.A7.B2.4B7.3A11.8B2.
15B2A2B7.10B3.B.A.2A$4.A9.4B5.A16.22BA2BA2B5.8B8.A$3.2A10.4B4.2A15.
23B2A3B4.9B7.2A$8.2A6.9B14.19B3.9B.4B2.3B$9.A7.6B14.21B4.8BA3B3.5B$9.
A.2A5.6B3.B2.2B2.25B4.7B2AB7.2A$10.A2.A4.19BD14B4.4B3.6BABA8.A$11.2AB
3.6BD13BDBD4B.6B6.4B.9B10.3A$12.9BDBD2B2A9B3D4B2.B.5B5.4B.7B13.A$13.
9B2D2B2A11BD4B7.2A6.10B$14.29B8.A8.4B.2B$14.17B.4B16.3A6.4B$15.15B2.
5B17.A7.4B$15.15B2.2B.A2B.2A22.4B$16.13B5.A.A2B.A23.4B$18.13B2.A.AB2.
A25.4B$17.8B4.2A.A.A3.A27.4B$17.6B6.2ABA2.4A.A26.4B$17.5B8.B2.A.A3.A.
A26.4B$17.B.B9.2A.2A2.A2.A.A27.4B$18.3B9.A.A2.2A3.A29.3BA$17.B2AB9.A.
A38.3BA$18.2A11.A40.3A!

I lost some sleep the other night, being convinced that something 7 modulo 8 was hiding in the latest H-to-G collection.

Eventually I concluded that two syringes, plus any two H-to-Gs with the same parity output lane (both even or both odd) and a combined T rating of 1 modulo 8, could always be hooked together to get 7 modulo 8, with enough Snarks. EDIT: Well, not quite that simple. If one of the output lanes has to be turned 180 degrees by two Snarks, then the H-to-Gs should have opposite lane parities... and I think that two H-to-Gs with odd lane parities would need combined T values of 5 mod 8 instead of 1, because the glider effectively ends up traveling a half-lane farther.

A fresh look today turned up the above loop, which I think is just barely too large to improve anything. Seems like there are a lot of combinations I could have missed, though.
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Re: Execution of Old Guns by Variable-Speed Firing Squad

Postby simeks » September 29th, 2016, 4:58 pm

github.com/ceebo/glider_guns/blob/master/README wrote:************************************
Average area in range p78-999 = 4977
************************************

Nice improvements lately and below 5000 now!

I'll throw in a P691 + 8N:

x = 90, y = 59, rule = LifeHistory
59.2A$28.A11.2A17.A.A$27.A.A10.2A19.A4.2A$19.A3.2A2.A.A27.4A.2A2.A2.A
$18.A.A2.A2.2A.2A26.A2.A.A.A.A.2A$18.A.A3.A.A33.A.A.A.A$19.A.4A2.A.2A
30.2A.A.A$21.A3.A.A.2A34.A$3.2A15.A3.A.A43.A$4.A14.A3.A.A25.2A17.3A$
4.A.A12.2A3.A27.A7.2A11.A$5.2A2.2A41.A.A5.2A10.A.A$9.2A42.2A17.A.A$
73.A$32.2A$32.2A$47.2A2.2A$46.A2.A2.A$47.2A.2A36.2A$48.A.A12.2A23.2A$
48.A.A12.A$35.2A12.A14.3A$2A34.A28.A2.A$.A31.3A27.A3.2A$.A.A17.2A10.A
29.2A$2.2A17.A.A$23.A51.2A$23.2A50.2A2$83.2A.A$83.2A.3A$2.2A85.A$.A.A
31.A47.2A.3A$.A31.3A46.A2.2A$2A30.A48.A.A$11.2A19.2A29.A16.A.A.3A$11.
A51.3A15.A2.A2.A$12.3A51.A17.A.A.A$14.A50.2A16.2A2.A.A$80.A.A2.A.A.A$
80.2A2.2A.2A2$22.2A39.3A$21.A.A5.2A32.A23.A$21.A7.2A33.A20.3A$20.2A
62.A$84.2A$34.A20.A$30.2A.A.A19.3A$29.A.A.A.A22.A$26.A2.A.A.A.A.2A18.
A$26.4A.2A2.A2.A18.2A$30.A4.2A18.2A2.A$28.A.A23.A2.3A$28.2A25.A23.A$
56.4A6.2A3.2A5.A.A8.A$58.A7.2A3.2A6.A7.A.A$60.A27.2A$59.2A!
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Re: Execution of Old Guns by Variable-Speed Firing Squad

Postby chris_c » September 29th, 2016, 5:56 pm

simeks wrote:Nice improvements lately and below 5000 now!

I'll throw in a P691 + 8N


Thanks! It sets 7 new records and brings the average down to 4973:

691 (5310, 'p00691_0')
707 (5520, 'p00691_2')
715 (5673, 'p00691_3')
731 (5985, 'p00691_5')
739 (6144, 'p00691_6')
755 (6468, 'p00691_8')
763 (6633, 'p00691_9')


EDIT: It inspires a couple of other guns in the 700's that also tentatively improve some guns in the high 300's:

#C p740
x = 95, y = 59, rule = LifeHistory
29.2A18.2A11.A$28.A.A17.B2AB9.A.A$22.2A4.A20.3B9.A.A2.2A3.A$20.A2.A2.
2A.4A15.B.B9.2A.2A2.A2.A.A$20.2A.A.A.A.A2.A15.5B8.B2.A.A3.A.A12.A$23.
A.ABABAB17.6B6.2ABA2.4A.A11.3A$23.A.AB2AB18.8B4.2A.A.A3.A12.A$24.AB.
2B20.13B2.A.AB2.A11.2A$19.A7.3B17.13B5.A.A2B.A7.5B$17.3A7.4B6.2A7.15B
5.A2B.2A6.4B$16.A8.3B2AB6.A8.15B4.3B10.5B$15.A.A7.3B2AB3.BA.A7.17B.B.
2B10.6B.B$14.BA.A5.10B.B2A8.29B3.9B$13.3BA5.13B9.13B2A16B2.11B.B$11.
4B6.14B8.14B2A16B2.12B2A$9.6B5.15B7.2AB3.27B.13B2A$8.7B4.4B2.8B8.A2.A
4.39B.B$.B.4B.8B2.4B5.6B7.A.2A5.6B3.B2.2B2.22B$2AB.17B4.9B6.A7.6B14.
20B$2A18B5.2A4.4B4.2A6.9B14.20B$.2B.16B6.A5.4B10.4B4.2A15.19B$4.16B3.
3A7.4B8.4B5.A15.19B$5.15B3.A10.4B6.4B7.3A12.17B2ABA.2A$6.12B.B2A.A11.
4B4.4B10.A10.2AB.3B.11B2A.2A.A$6.11B2.BA.A.2A10.4B2.4B21.A.AB6.11B$7.
10B5.A2.A11.8B22.A8.10B$7.6B2A2B5.2A14.6B22.2A7.10B$7.6B2A3B21.4B32.
11B$7.10B21.6B31.11B$3.A.2AB.8B20.8B29.13B$.3AB2AB3.7B18.4B2.4B25.2B.
13B.2B$A4.B6.6B17.4B4.4B23.21B$.3A.2A4.6B17.4B6.4B20.25B$3.2A2.A4.5B
16.4B8.4B19.25B$6.A.A.8B14.4B10.4B17.27B$3.3A.A.A8B8.A4.4B12.4B16.27B
$2.A2.A.BA2B.6B6.3A3.4B14.4B6.A7.29B$.A.A.A2.2B2.7B4.A5.4B16.4B5.3A6.
27B$A.A2.2A.B3.7B4.2A3.4B18.4B7.A5.6B2.11B2.6B$A.A.A2.A.A2.8B.4B2.4B
20.4B5.2A4.A3B.B3.8B.B4.B.3BA$.2A.2A2.2A2.11B3.4B22.4B4.6BABA7.B.4B
10.ABA$12.12B.4B24.4B5.4B2A11.3B11.2A$12.16B26.4B2.8B11.4B11.B$13.14B
28.15B8.BA3B$16.10B30.14B7.BABAB$15.12B30.13B7.A.A2.2B2.B$4.4B4.16B
30.10B.B2A3.3A2.3AB.B2A$4.4B.19B6.A25.3B2AB3.BA.A.A3.2A2.BA2B2A$3.2A
24B3.3A25.3B2AB6.A.A.2A2.2A.AB.B$3.2A24B2.A30.4B6.A2.A.A.A2.AB$4.B.
23B.B.A29.3B6.2A5.A.A$6.25B2A26.AB.2B15.A$8.22BA2.2A23.A.AB2AB$10.2B
6.B3.2B3.3B3A2.A22.A.ABABAB$17.3B.4B3.2B4.A20.2A.A.A.A.A2.A$16.B2AB.B
2AB5.4A21.A2.A2.2A.4A$17.2A3.2A7.A25.2A4.A$29.A33.A.A$29.2A33.2A!


#C p746
x = 94, y = 61, rule = LifeHistory
63.2A$32.A11.2A17.A.A$31.A.A9.B2AB18.A4.2A$23.A3.2A2.A.A9.3B15.4A.2A
2.A2.A$22.A.A2.A2.2A.2A9.B.B14.A2.A.A.A.A.2A$22.A.A3.A.A2.B8.5B16.BAB
ABA.A$23.A.4A2.AB2A6.6B17.B2ABA.A$25.A3.A.A.2A4.8B18.2B.BA$7.2A15.A2.
BA.A2.13B18.3B7.A$8.A14.A.2BA.A5.13B7.2A6.4B7.3A$8.A.AB11.2A.2BA5.15B
7.A6.B2A3B8.A$9.2AB.2A12.3B4.15B7.A.AB3.B2A3B7.A.A$11.2B2AB12.2B.B.
17B7.2AB.10B5.A.AB$11.4B6.29B9.13B5.A3B$11.6B3.16B2A13B8.14B6.4B$12.
6B2.16B2A14B7.15B5.6B$12.7B.27B3.B2A2.2A4.8B2.4B4.7B$11.35B4.A2.A2.A
4.6B5.4B2.8B.4B.B$10.20B2.2B2.B3.6B5.2A.2A4.9B4.17B.B2A$2A8.17B14.6B
5.A.A4.4B4.2A5.18B2A$.A7.16B14.9B4.A.A3.4B5.A6.16B.2B$.A.AB2.17B15.2A
4.4B4.A3.4B7.3A3.16B$2.2AB.19B15.A5.4B6.4B10.A3.15B$4.21B12.3A7.4B4.
4B11.A.2AB.12B$4.13B3.3B.B2A10.A10.4B2.4B10.2A.A.AB2.11B$5.13B6.BA.A
21.8B11.A2.A5.10B$3.16B8.A22.6B14.2A5.2B2A6B$3.2A2.12B8.2A22.4B21.3B
2A6B$4.A2.12B31.6B21.10B$.3A3.10B.B2A28.8B20.8B.B2A.A$.A4.11B.BA.A26.
4B2.4B18.7B3.B2AB3A$6.11B4.A25.4B4.4B17.6B6.B4.A$4.2AB.10B3.2A23.4B6.
4B17.6B4.2A.3A$3.A.AB.10B27.4B8.4B16.5B4.A2.2A$3.A5.10B25.4B10.4B14.
8B.A.A$2.2A5.5B2.4B23.4B12.4B4.A8.8BA.A.3A$10.4B3.4B21.4B14.4B3.3A6.
6B.2BAB.A2.A$18.4B19.4B16.4B5.A4.7B2.2B2.A.A.A$19.4B10.A6.4B18.4B3.2A
4.7B3.B.2A2.A.A$20.4B7.3A5.4B20.4B2.4B.8B2.A.A2.A.A.A$21.4B5.A7.4B22.
4B3.11B2.2A2.2A.2A$22.4B4.2A5.4B24.4B.12B$23.9B4.4B26.B3A12B$24.6B5.
4B28.A13B10.A$24.8B2.4B30.A9B11.3A$22.15B30.12B9.A$22.14B30.16B6.2A$
22.13B24.A6.24B$20.2AB.10B25.3A3.23B$19.A.AB3.B2A3B30.A2.24B$19.A6.B
2A3B29.A.B.24B$18.2A6.4B31.2A27B$27.3B29.2A2.A22B.4B$28.2B.BA25.A2.3A
3B3.2B3.B7.2B3.4B$27.B2ABA.A25.A4.2B3.4B.3B5.BA2B3.4B$26.BABABA.A26.
4A5.B2AB.B2AB4.A.A5.3BA$24.A2.A.A.A.A.2A25.A7.2A3.2A6.A7.ABA$24.4A.2A
2.A2.A27.A27.2A$28.A4.2A28.2A28.B$26.A.A$26.2A!
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Re: Execution of Old Guns by Variable-Speed Firing Squad

Postby simeks » October 1st, 2016, 9:51 pm

The alternative period tripler to the right (from here) is sometimes more compact.

x = 90, y = 42, rule = LifeHistory
14.2A$5.2A7.2A6.A$6.A15.3A$6.A.A16.A$7.2A15.2A49.2A$75.2A5.2A$2A80.2A
$.A$.A.A$2.2A76.2A$80.2A$33.2C51.2A$33.2C51.2A$30.2D$30.2D2$2.A23.2A
38.A$2.A.A21.2A38.A.A$2.3A61.3A$4.A63.A2$14.2A$14.2A2.2A$18.A.A$20.A$
20.2A3$70.2A9.2D$70.A10.2D$71.A10.2D$68.3A11.2D4.2A$68.A18.A.A$73.2A
13.A$74.A$71.3A$71.A$75.2A$74.A.A7.2A$74.A9.A$73.2A10.3A$87.A!

Here it is attached to p00590 which improves p921, p945 and p969:

x = 82, y = 76, rule = LifeHistory
38.2A3.2A$38.2A2.A.3A$42.A4.A$38.4A.2A2.A$38.A2.A.A.A.2A$41.A.A.A.A$
42.2A.A.A$46.A2$32.2A$33.A7.2A$33.A.A5.2A$34.2A2$57.A$57.3A$60.A$59.A
.A$59.A.A$44.2A14.A$44.A$45.3A$47.A2$22.A8.2A42.2A$20.5A6.3A5.2A34.2A
$19.A5.A4.A.A6.A$19.A2.3A5.4A3.A.A$18.2A.A6.2A.3A3.2A$18.A2.6A2.A.A2.
A20.2A$19.2A3.3A.A2.A2.A19.A.A$21.3A2.A2.A3.2A19.A$21.A6.2A23.2A7.2A$
18.2A.A8.3A2.A26.2A$18.2A.2A7.A4.A$70.2A.A$29.A3.A36.2A.3A$29.A23.2A
21.A$2.A27.A20.A2.A15.2A.3A$2.3A10.2A10.3A3.2A14.5A17.A.A$5.A9.A11.A
6.A13.A22.A.A$4.2A7.A.A18.A.A12.3A20.A$13.2A20.2A15.A$18.A30.4A20.A$
16.3A25.2A3.A3.2A16.3A$15.A28.2A4.3A2.A14.A$.A13.2A35.A.2A14.2A$A.A
18.A30.A9.2A$2A4.2A11.3A29.2A9.2A$6.2A10.A$19.A$18.2A23.2A$43.A$44.3A
$47.A$46.A31.A$46.2A28.3A$75.A$75.2A4$39.2A$39.2A2$78.2A$78.A.A$2.2A
76.A$2.2A76.2A$8.2A32.2A$8.2A33.A$42.A15.2A8.2A3.2A$42.2A14.A9.2A3.2A
$6.2A24.A26.3A$6.2A5.2A18.A27.A$13.2A16.3A!
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Location: Sweden

Re: Execution of Old Guns by Variable-Speed Firing Squad

Postby chris_c » October 2nd, 2016, 1:40 pm

simeks wrote:The alternative period tripler to the right (from [url=http://www.conwaylife.com/forums

Here it is attached to p00590 which improves p921, p945 and p969.


Nice. It actually improves quite a few others: all the way from p897 to p981 in steps of 12.

Here is a nice fixed gun of period 353. It uses a variant of Bx106 from gmc_nxtman's H->H collection. If the right kind of NE or SE H->G was available it might be possible to get a new record breaking family of guns in the 400-500 range...

x = 68, y = 49, rule = LifeHistory
35.A$33.3A$32.A11.A$23.4B5.2A8.3A$23.11B7.A$21.11B5.B3.2A$20.2A11B2.
8B$20.2A19B21.A$21.20B12.2A5.3A$22.20B10.B2AB3.A$9.A13.21B8.3B4.2A$9.
3A10.25B2.AB2.B2.5B$12.A8.4B4.18B4A8B$11.2A7.4B6.6B.9BAB5A5B2A$11.5B
3.4B5.5B.B2.8B2A6BA4B2A$13.3B2.4B6.2A7.9B3ABA3BA2B.B$3.2A7.9B8.A8.9B
2A2BABA3B$3.A8.8B6.3A16.8B$2A.A.B3.10B7.A19.8B$A2.3AB.2B2A7B28.7B$.2A
2.BA3B2A7B27.7B5.2A2.2A.2A$3.4A12B26.8B5.A.A2.A.A$3.A.2B2.8B.B2A14.2A
8.9B5.B.2A2.A$4.3AB2.7B.BA.A2.2A10.A9.9B3.2B2.A.A$7.A3.5B5.A2.A11.A.A
B4.12B.2BAB.A.2A$2.5A5.4B5.3A2.A10.2AB.12BA4BA.A.A2.A$2.A10.4B7.3A12.
14BA4B.2A.2A.A.A$4.A9.4B5.A15.17B8.A.2A$3.2A10.4B4.2A15.17B7.A$8.2A6.
9B14.18B4.BA.A$9.A7.6B14.23B.B2A$9.A.2A5.6B3.B2.2B2.20B.3B2A2B$10.A2.
A4.35B3.2BA.AB$11.2AB3.27B.9B5.2A$12.14B2A16B2.7B$13.13B2A16B2.7B$14.
29B4.6B$14.17B.B.2B10.7B$15.15B4.3B10.6B$15.15B5.A2B.2A6.7B$16.13B5.A
.A2B.A7.5B$18.13B2.A.AB2.A8.6B$17.8B4.2A.A.A3.A7.9B$17.6B6.2ABA2.4A.A
5.2A.7B$17.5B8.B2.A.A3.A.A5.A5.4B$17.B.B9.2A.2A2.A2.A.A2.3A7.4B$18.3B
9.A.A2.2A3.A3.A10.3BA$17.B2AB9.A.A23.3BA$18.2A11.A25.3AB!
chris_c
 
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Re: Execution of Old Guns by Variable-Speed Firing Squad

Postby AbhpzTa » October 2nd, 2016, 2:14 pm

chris_c wrote:
simeks wrote:The alternative period tripler to the right (from [url=http://www.conwaylife.com/forums

Here it is attached to p00590 which improves p921, p945 and p969.


Nice. It actually improves quite a few others: all the way from p897 to p981 in steps of 12.

Here is a nice fixed gun of period 353. It uses a variant of Bx106 from gmc_nxtman's H->H collection. If the right kind of NE or SE H->G was available it might be possible to get a new record breaking family of guns in the 400-500 range...

x = 68, y = 49, rule = LifeHistory
35.A$33.3A$32.A11.A$23.4B5.2A8.3A$23.11B7.A$21.11B5.B3.2A$20.2A11B2.
8B$20.2A19B21.A$21.20B12.2A5.3A$22.20B10.B2AB3.A$9.A13.21B8.3B4.2A$9.
3A10.25B2.AB2.B2.5B$12.A8.4B4.18B4A8B$11.2A7.4B6.6B.9BAB5A5B2A$11.5B
3.4B5.5B.B2.8B2A6BA4B2A$13.3B2.4B6.2A7.9B3ABA3BA2B.B$3.2A7.9B8.A8.9B
2A2BABA3B$3.A8.8B6.3A16.8B$2A.A.B3.10B7.A19.8B$A2.3AB.2B2A7B28.7B$.2A
2.BA3B2A7B27.7B5.2A2.2A.2A$3.4A12B26.8B5.A.A2.A.A$3.A.2B2.8B.B2A14.2A
8.9B5.B.2A2.A$4.3AB2.7B.BA.A2.2A10.A9.9B3.2B2.A.A$7.A3.5B5.A2.A11.A.A
B4.12B.2BAB.A.2A$2.5A5.4B5.3A2.A10.2AB.12BA4BA.A.A2.A$2.A10.4B7.3A12.
14BA4B.2A.2A.A.A$4.A9.4B5.A15.17B8.A.2A$3.2A10.4B4.2A15.17B7.A$8.2A6.
9B14.18B4.BA.A$9.A7.6B14.23B.B2A$9.A.2A5.6B3.B2.2B2.20B.3B2A2B$10.A2.
A4.35B3.2BA.AB$11.2AB3.27B.9B5.2A$12.14B2A16B2.7B$13.13B2A16B2.7B$14.
29B4.6B$14.17B.B.2B10.7B$15.15B4.3B10.6B$15.15B5.A2B.2A6.7B$16.13B5.A
.A2B.A7.5B$18.13B2.A.AB2.A8.6B$17.8B4.2A.A.A3.A7.9B$17.6B6.2ABA2.4A.A
5.2A.7B$17.5B8.B2.A.A3.A.A5.A5.4B$17.B.B9.2A.2A2.A2.A.A2.3A7.4B$18.3B
9.A.A2.2A3.A3.A10.3BA$17.B2AB9.A.A23.3BA$18.2A11.A25.3AB!

Smaller:
x = 63, y = 49, rule = LifeHistory
35.A$33.3A$32.A11.A$23.4B5.2A8.3A$23.11B7.A$21.11B5.B3.2A$20.2A11B2.
8B$20.2A19B21.A$21.20B12.2A5.3A$22.20B10.B2AB3.A$9.A13.21B8.3B4.2A$9.
3A10.25B2.AB2.B2.5B$12.A8.4B4.18B4A8B$11.2A7.4B6.6B.9BAB5A5B2A$11.5B
3.4B5.5B.B2.8B2A6BA4B2A$13.3B2.4B6.2A7.9B3ABA3BA2B.B$3.2A7.9B8.A8.9B
2A2BABA3B$3.A8.8B6.3A16.8B$2A.A.B3.10B7.A19.8B$A2.3AB.2B2A7B28.7B$.2A
2.BA3B2A7B27.7B$3.4A12B26.8B7.2A$3.A.2B3.7B.B2A14.2A8.9B6.A$4.3AB2.7B
.BA.A2.2A10.A9.9B2.BA.A$7.A4.4B5.A2.A11.A.AB4.12B.B2A$2.5A5.4B5.3A2.A
10.2AB.17B$2.A10.4B7.3A12.14BABA2B$4.A9.4B5.A15.12BA3BAB2.B$3.2A10.4B
4.2A15.10B6AB.B2A$8.2A6.9B14.11BA8B2A$9.A7.6B14.20B.2B$9.A.2A5.6B3.B
2.2B2.20B.B$10.A2.A4.35B$11.2AB3.27B.9B$12.14B2A16B2.7B$13.13B2A16B2.
7B$14.29B4.6B$14.17B.B.2B10.7B$15.15B4.3B10.6B$15.15B5.A2B.2A6.7B$16.
13B5.A.A2B.A7.5B$18.13B2.A.AB2.A8.6B$17.8B4.2A.A.A3.A7.9B$17.6B6.2ABA
2.4A.A5.2A.7B$17.5B8.B2.A.A3.A.A5.A5.4B$17.B.B9.2A.2A2.A2.A.A2.3A7.4B
$18.3B9.A.A2.2A3.A3.A10.3BA$17.B2AB9.A.A23.3BA$18.2A11.A25.3AB!
Iteration of sigma(n)+tau(n)-n [sigma(n)+tau(n)-n : OEIS A163163] (e.g. 16,20,28,34,24,44,46,30,50,49,11,3,3, ...) :
965808 is period 336 (max = 207085118608).
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Location: Ishikawa Prefecture, Japan

Re: Execution of Old Guns by Variable-Speed Firing Squad

Postby chris_c » October 2nd, 2016, 2:17 pm

AbhpzTa wrote:Smaller:


Cute! Thanks.
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Re: Execution of Old Guns by Variable-Speed Firing Squad

Postby simeks » October 2nd, 2016, 2:39 pm

chris_c wrote:Here is a nice fixed gun of period 353.

AbhpzTa wrote:Smaller:

Nice! Here is a p615+8N based on those:

x = 93, y = 58, rule = LifeHistory
61.2A$61.A$63.A$59.5A$18.2A3.2A34.A$18.2A2.A.3A35.4A$22.A4.A34.A2.A$
18.4A.2A2.A26.2A$18.A2.A.A.A.2A26.A$21.A.A.A.A26.A$22.2A.A.A15.2A9.2A
$26.A17.A29.2A$44.A.A27.A$12.2A31.2A25.A.A$13.A7.2A49.2A$13.A.A5.2A$
14.2A76.A$83.2A5.3A$83.2A4.A$89.2A$79.A$77.4A$76.A.5A5.2A$24.2A49.2A
6.A4.2A$24.A51.3A.A3.A$5.A19.3A49.2A2.A.A$3.5A14.3A2.A$2.A5.A13.A3.A$
2.A2.3A12.A.A.2A$.2A.A15.2A.A$.A2.4A15.A43.2A21.2A$2.2A3.A3.2A10.3A
41.2A21.A$4.3A4.2A13.A61.A.A$4.A20.2A24.2A7.2A26.2A$.2A.A46.A8.2A4.A$
.2A.2A47.A11.A.A15.A.A$38.2A12.2A12.A14.A3.A$37.A2.A22.3A14.6A3.2A$
12.2A24.3A22.A16.A8.2A$13.A$10.3A22.2A3.3A$10.A17.2A5.A.A2.A2.A$28.2A
7.A3.2A$37.2A17.2A$56.2A$24.A$23.A.A.2A$23.A.A.A.A$22.2A.A.A.A2.A32.A
3.2A$23.A2.2A.4A31.A.A3.A$23.A4.A34.A.A3.A$24.3A.A2.2A26.2A.A.A3.A$
26.2A3.2A26.2A.A2.4A.A5.2A$63.A.A3.A.A5.A$59.2A.2A2.A2.A.A2.3A$60.A.A
2.2A3.A3.A13.A$48.2A10.A.A26.A$48.2A11.A25.3A!
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Posts: 324
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Location: Sweden

Re: Execution of Old Guns by Variable-Speed Firing Squad

Postby gmc_nxtman » October 2nd, 2016, 3:36 pm

AbhpzTa wrote:Smaller:
rle


Nice! I'll add this in the next update.
User avatar
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Posts: 1055
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Re: Execution of Old Guns by Variable-Speed Firing Squad

Postby simeks » October 4th, 2016, 4:26 pm

The p519 gun is looking increasingly annoying at the top of the Hall of Shame (size 7888 vs. 7688 for the second worst).

All it would take for a p519 of size 7396 is a period tripler that fits in the red area. Surely that must be possible?

x = 235, y = 88, rule = LifeHistory
53.2A3.2A137.2A3.2A$53.2A2.A.3A135.2A2.A.3A$57.A4.A138.A4.A$53.4A.2A
2.A134.4A.2A2.A$53.A2.A.A.A.2A133.A2.A.A.A.2A$55.BABABA.A136.BABABA.A
$56.B2ABA.A137.B2ABA.A$57.2B.BA139.2B.BA$56.3B7.A133.3B7.A$47.2A6.4B
7.3A122.2A6.4B7.3A$48.A6.B2A3B8.A122.A6.B2A3B8.A$25.2A3.2A16.A.AB3.B
2A3B7.A.A98.2A3.2A16.A.AB3.B2A3B7.A.A$23.3A.A2.2A17.2AB.10B5.A.AB95.
3A.A2.2A17.2AB.10B5.A.AB$22.A4.A23.13B5.A3B93.A4.A23.13B5.A3B$22.A2.
2A.4A19.14B6.4B91.A2.2A.4A19.14B6.4B$21.2A.A.A.A2.A19.15B5.6B88.2A.A.
A.A2.A19.15B5.6B$22.A.ABABAB23.8B2.4B4.7B88.A.ABABAB23.8B2.4B4.7B$22.
A.AB2AB24.6B5.4B2.8B.4B.B81.A.AB2AB24.6B5.4B2.8B.4B.B$23.AB.2B24.9B4.
17B.B2A81.AB.2B24.9B4.17B.B2A$26.3B22.4B4.2A5.BABA14B2A84.3B22.2A2B4.
2A5.18B2A$26.4B6.2A12.4B5.A6.2B2A12B.2B85.4B6.2A12.2B2A5.A6.16B.2B$
24.3B2AB6.A12.4B7.3A3.2BA13B86.3B2AB6.A12.2BAB7.3A3.16B$9.A14.3B2AB3.
BA.A11.4B10.A3.15B72.A14.3B2AB3.BA.A11.4B10.A3.15B$9.3A10.5B2A3B.B2A
11.4B11.A.2AB.12B73.3A10.10B.B2A11.4B11.A.2AB.12B$12.A8.5B2A6B12.4B
10.2A.A.AB2.11B76.A8.13B12.4B10.2A.A.AB2.11B$11.2A7.6BABA5B11.4B11.A
2.A5.10B76.2A7.14B11.4B11.A2.A5.10B$11.5B3.7BA7B10.4B14.2A5.2B2A6B76.
5B3.15B10.4B14.2A5.2B2A6B$13.3B2.4B2.8B11.4B21.3B2A6B78.3B2.4B2.8B11.
4B21.3B2A6B$2A.2A7.9B5.6B10.4B23.10B65.2A.2A7.9B5.6B10.4B23.10B$2A.A
8.8B4.9B8.4B24.8B.B2A.A61.2A.A8.8B4.9B8.4B24.8B.B2A.A$3.A.B3.10B5.2A
4.4B6.4B24.7B3.B2AB3A62.A.B3.10B5.2A4.4B6.4B24.7B3.B2AB3A$3.3AB.2B2A
7B6.A5.4B4.4B25.6B6.B4.A61.3AB.2B2A7B6.A5.4B4.4B25.6B6.B4.A$.2A2.BA3B
2A7B3.3A7.4B2.4B27.6B4.2A.3A60.2A2.BA3B2A7B3.3A7.4B2.4B27.6B4.2A.3A$A
2.4A12B3.A10.8B28.5B4.A2.2A61.A2.4A12B3.A10.8B28.5B4.A2.2A$2A.A.2B3.
7B.B2A.A11.6B28.8B.A.A64.2A.A.2B3.7B.B2A.A11.6B28.8B.A.A$.A2.3AB2.7B.
BA.A.2A10.4B29.8BA.A.2A.A61.A2.3AB2.7B.BA.A.2A10.4B29.B2A5BA.A.2A.A$.
A5.A4.4B5.A2.A9.6B19.2A7.6B.2BAB.A.2A61.A5.A4.4B5.A2.A9.6B19.2A7.4BAB
.2BAB.A.2A$2.5A5.4B5.2A10.8B19.A6.7B2.2B2.A65.5A5.4B5.2A10.8B19.A6.2B
A2BAB2.2B2.A$4.A8.4B15.4B2.4B18.A.AB3.7B3.B.2A67.A8.4B15.4B2.4B18.A.A
B3.3B2A2B3.B.2A$14.4B13.4B4.4B18.2AB2.8B2.A.A2.2A75.4B13.4B4.4B18.2AB
2.4B2A2B2.A.A2.2A$15.4B11.4B6.4B19.11B2.2A2.A2.A75.4B11.4B6.4B19.6BA
2BAB2.2A2.A2.A$16.4B9.4B8.4B18.11B7.2A77.4B9.4B8.4B18.6BA4B7.2A$17.4B
7.4B10.4B17.11B87.4B7.4B10.B3A17.7B3AB$18.4B5.4B12.4B15.11B89.BABA5.
4B12.A3B15.11B$19.4B3.4B14.4B15.7B.2B90.B2AB3.4B14.A3B15.7B.2B$20.4B.
3AB16.4B14.11B90.A3B.4B16.4B14.11B$21.6BA18.4B14.10B91.7B18.4B14.10B$
22.4BA20.4B13.12B90.5B20.4B13.12B$22.5B13.A7.4B13.13B88.5B13.A7.4B13.
13B$21.7B10.3A8.4B9.17B86.7B10.3A8.4B9.17B$20.4B.4B8.A12.4B7.17B86.4B
.4B8.A12.4B7.17B$19.4B3.4B7.2A12.4B5.2B2A16B83.4B3.4B7.2A12.4B5.2B2A
16B$18.4B5.4B3.5B13.4B5.B2A6B.4B3.2A82.4B5.4B3.5B13.4B5.B2A6B.4B3.2A$
17.4B7.4B2.3B16.4B3.8B4.B5.A82.4B7.4B2.3B16.4B3.8B4.B5.A$16.4B9.9B7.
2A.2A4.4B2.6B13.3A78.4B9.9B7.2A.2A4.4B2.6B13.3A$15.4B11.5BA2B8.A.2A5.
4B.7B14.A77.4B11.8B8.A.2A5.4B.7B14.A$14.4B13.3B3A4B3.B.A9.4B.6B91.4B
13.10B3.B.A9.4B.6B$4.A8.4B14.2B2AB2A4B.B3A10.9B82.A8.4B14.7B2A2B.B3A
10.9B$2.5A5.4B5.2A8.B3AB3A4BAB2.2A9.8B4.16D60.5A5.4B5.2A8.7B2A3BAB2.
2A9.8B4.16D$.A5.A4.4B5.A9.2B2AB2A5B4A2.A9.8B3.D14.D59.A5.A4.4B5.A9.
12B4A2.A9.8B3.D14.D$.A2.3AB2.7B.BA.A7.2AB.B3A3B3.2B.A.2A10.7B3.D14.D
59.A2.3AB2.7B.BA.A7.2AB.7B3.2B.A.2A10.7B3.D4.C9.D$2A.A.2B3.7B.B2A3.2A
2.A.AB.2BA4B2.B3A2.A12.6B3.D14.D58.2A.A.2B3.3B2A2B.B2A3.2A2.A.AB.7B2.
B3A2.A12.6B3.D2.3C9.D$A2.4A12B6.A2.A5.4B4.A5.A12.2B3A2B2.D14.D58.A2.
4A6B3A3B6.A2.A5.4B4.A5.A12.7B2.D.C12.D$.2A2.BA3B2A7B4.A2.3A5.4B5.5A
13.2BA4B2.D14.D59.2A2.BA3B2A2BA4B4.A2.3A5.4B5.5A13.7B2.D.2C11.D$3.3AB
.2B2A7B4.3A7.4B8.A15.B3A3B2.D14.D61.3AB.2B2A7B4.3A7.4B8.A15.8B.4B11.D
$3.A.B3.10B7.A5.4B34.D14.D61.A.B3.10B7.A5.4B25.11B13.D$2A.A8.8B5.2A4.
4B35.D14.D58.2A.A8.8B5.2A4.4B26.12B12.D$2A.2A7.9B4.9B7.30D14.D58.2A.
2A7.9B4.9B7.20D12B12.D$13.3B2.4B5.6B8.D43.D71.3B2.4B5.6B8.D20.11B9.2C
.D$11.5B3.4B2.8B8.D43.D69.5B3.4B2.8B8.D23.7B3.3B2.2B2CBD$11.2A7.15B6.
D43.D69.2A7.15B6.D22.9B.5B.4B.D.B$12.A8.14B6.D43.D70.A8.14B6.D18.19B.
6B2C2B$9.3A10.13B6.D43.D67.3A10.13B6.D16.28B2C2B$9.A13.10B.B2A4.D43.D
67.A13.10B.B2A4.D15.34B$25.3B2AB3.BA.A3.D43.D83.3B2AB3.BA.A3.D15.34B$
25.3B2AB6.A3.D43.D83.3B2AB6.A3.D15.33B$27.4B6.2A2.D43.D85.4B6.2A2.D
13.2CB.30B$27.3B11.D43.D85.3B11.D12.C.CB3.28B$24.AB.2B12.D43.D82.AB.
2B12.D12.C5.19B2.9B$23.A.AB2AB11.D43.D81.A.AB2AB11.D11.2C6.14B.2B4.8B
A$23.A.ABABAB10.D43.D81.A.ABABAB10.D20.12B6.5BD2.ABA$22.2A.A.A.A2.A8.
D43.D80.2A.A.A.A2.A8.D20.4B.4B2CB6.2C3.D3.2A$23.A2.2A.4A8.D43.D81.A2.
2A.4A8.D21.2B3.3B2C8.C3.D4.B$23.A4.A12.D43.D81.A4.A12.D20.B2CB2.2B.B
6.3C4.D$24.3A.A2.2A8.D43.D82.3A.A2.2A8.D21.2C6.2C5.C6.D$26.2A3.2A8.
45D84.2A3.2A8.31DC13D$215.C$215.2C!
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Re: Execution of Old Guns by Variable-Speed Firing Squad

Postby Scorbie » October 8th, 2016, 10:17 pm

simeks wrote:All it would take for a p519 of size 7396 is a period tripler that fits in the red area. Surely that must be possible?
We are not restricted to p1. Maybe a p3 one with a smaller size exists.
Best wishes to you, Scorbie
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Re: Execution of Old Guns by Variable-Speed Firing Squad

Postby simeks » October 12th, 2016, 1:37 pm

chris_c wrote:

Small correction to p827 family
I don't see how to make the 4 step extension without increasing x by 3
and y by 1.

This seems to work:

x = 84, y = 72, rule = LifeHistory
17.2A3.2A15.2A3.2A$17.2A2.A.3A13.2A2.A.3A$21.A4.A16.A4.A$17.4A.2A2.A
12.4A.2A2.A$17.A2.A.A.A.2A11.A2.A.A.A.2A$20.A.A.A.A15.A.A.A.A$21.2A.A
.A16.2A.A.A$25.A21.A2$11.2A20.2A$12.A7.2A12.A7.2A$12.A.A5.2A12.A.A5.
2A$13.2A20.2A7$23.2A20.2A$23.A21.A18.A$4.A19.3A19.3A15.3A$2.5A14.3A2.
A22.A17.A$.A5.A13.A2.A17.A.5A2.A14.A.A$.A2.3A12.A.A2.2A16.2A.A3.3A14.
A.A$2A.A15.2A27.A18.A$A2.4A41.2A$.2A3.A3.2A$3.3A4.2A$3.A52.2A$2A.A53.
A24.2A$2A.2A52.A.2A21.2A$49.2A4.3A2.A$49.2A3.A3.2A$11.2A41.4A$12.A27.
2A15.A4.2A$9.3A27.A.A12.3A4.A.A$9.A29.A13.A7.A$38.2A14.5A.2A7.2A$58.A
.A8.2A$54.2A2.A.A$54.2A3.A17.2A.A$77.2A.3A$4.A78.A$2.5A14.2A54.2A.3A$
.A5.A13.A54.A2.2A$.A2.3A12.A.A53.A.A$2A.A15.2A36.A16.A.A.2A.A$A2.4A
50.3A15.A2.A.2A$.2A3.A3.2A11.A36.A17.A$3.3A4.2A11.3A33.2A16.2A$3.A22.
A47.A.A2.2A$2A.A21.2A47.2A2.A2.A$2A.2A74.2A3$11.2A30.3A34.2A$12.A30.A
36.A$9.3A32.A33.A.A$9.A25.2A41.2A$28.2A5.A.A$28.2A7.A14.2A$37.2A12.A$
52.A.A5.2A$24.A28.A6.2A$23.A.A.2A31.A$23.A.A.A.A27.2A$22.2A.A.A.A2.A
23.A2.A$23.A2.2A.4A23.A.A$23.A4.A28.A25.A$24.3A.A2.2A31.2A15.A.A$26.
2A3.2A31.2A16.2A!
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Re: Execution of Old Guns by Variable-Speed Firing Squad

Postby chris_c » October 12th, 2016, 2:01 pm

simeks wrote:This seems to work


Thanks! I didn't manage to find that weld. Paranoia over.
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Re: Execution of Old Guns by Variable-Speed Firing Squad

Postby dvgrn » October 17th, 2016, 10:55 am

If I build some of the tentative guns over lunch hour today, would that be useful, or would it just duplicate effort? Most of the tentative guns are in just half a dozen families:

141 (4602, 'p00564_0')
286 (4661, 'p00564_1')
145 (4720, 'p00564_2')
290 (4720, 'p00564_2')
294 (4779, 'p00564_3')
149 (4838, 'p00564_4')
298 (4838, 'p00564_4')
151 (4897, 'p00564_5')
302 (4897, 'p00564_5')
310 (5015, 'p00564_7')
157 (5074, 'p00564_8')
314 (5074, 'p00564_8')
318 (5133, 'p00564_9')
163 (5340, 'p00564_11')
326 (5340, 'p00564_11')

259 (4130, 'p00518osc7_0')
275 (4307, 'p00550osc5_0')
279 (4425, 'p00558osc9_0')
287 (4543, 'p00518osc7_7')
295 (4602, 'p00550osc5_5')
315 (4897, 'p00550osc5_10')
335 (5192, 'p00550osc5_15')

334 (5487, 'p00652b_2')
173 (5664, 'p00652b_5')
338 (5546, 'p00652b_3')
346 (5664, 'p00652b_5')
181 (5900, 'p00652b_9')
362 (5900, 'p00652b_9')
370 (6120, 'p00652b_11')

343 (5394, 'p00686_0')
347 (5452, 'p00686_1')
355 (5568, 'p00686_3')
359 (5626, 'p00686_4')

367 (5427, 'p00726_1')
383 (5695, 'p00726_5')
391 (5829, 'p00726_7')
415 (6510, 'p00726_13')


Also, does it maybe make sense to remove old out-of-date guns from the "fixed" collection -- or possibly overwrite each one with the current best adjusted variable gun? I know that's a lot of work, but I'm thinking again about how some of the gun-building might be done semi-automatically.

Currently it seems a little too easy for people to get confused and think they have an improved gun, because they're comparing against a fixed gun instead of what's in the README.

EDIT: the tentative p159 (4988, 'p00445_4') doesn't work -- the H-to-G component at the top appears to have a minimum recovery time of 202. The other loner from the tentative list, p378, works just fine:

x = 83, y = 68, rule = LifeHistory
44.2A3.2A$44.2A2.A.3A$11.2A12.A22.A4.A$10.A2.A9.3A18.4A.2A2.A$9.A.A.A
8.A21.A2.A.A.A.2A$9.A.A.2A7.2A22.BABABA.A$7.2A.A.B.A2B3.4B23.B2ABA.A$
7.A2.A.2A4B.BAB26.2B.BA$4.2A.A.ABAB.A3B.ABAB24.3B$4.A2.ABABA.2A3.2B2A
B.2A12.2A6.4B8.A$5.2A2.3B.A3.7B2A13.A6.B2A3B6.3A$7.5A2.A3.7B14.A.AB3.
B2A3B9.A$7.A4.2A4.7B15.2AB.10B6.A.A$8.3A.A5.6B18.13B5.A.AB$10.A.A4.8B
17.14B5.A3B$11.A4.4B2.4B16.15B6.4B$15.4B4.4B17.8B2.4B5.6B$14.4B6.4B
16.6B5.4B4.7B$2A5.2A4.4B8.4B14.9B4.4B2.8B.4B.B$.A5.2A2B.4B10.4B12.4B
4.2A5.17B.B2A$.A.AB3.7B12.4B10.4B5.A7.18B2A$2.2AB.8B14.4B8.4B7.3A4.
16B.2B$4.2B2A5B16.4B6.4B10.A4.16B$4.BABA5B17.4B4.4B16.15B$5.BA7B17.4B
2.4B15.2AB.12B$7.8B17.8B15.A.AB2.11B$5.AB.B3.4B17.6B16.A5.10B$4.BAB6.
4B10.A6.4B16.2A5.2B2A6B$4.3B7.4B7.3A5.A5B21.3B2A6B$3.A3BA.A5.4B5.A7.B
2A5B21.10B$.3A.A.2A.A5.4B4.2A5.BABA2.4B20.8B.B2A.A$A3.2AB3.3A4.9B4.4B
4.4B18.7B3.B2AB3A$A.2A2.2ABA3.A4.6B5.4B6.4B11.2A4.6B6.B4.A$.A2.2A2B2A
.2A5.8B2.4B8.4B8.A2.A5.6B4.2A.3A$2.2A2.2ABA.A4.15B3.2A5.4B5.5A6.5B6.A
.A$4.A2.A.A.A4.14B5.A5.4B4.A10.6B6.A.A$4.4A.2A5.13B6.A.AB.7B2.B3A7.6B
7.A$8.A5.2AB.10B8.2AB.7B3.2B.A5.7B$6.A.A4.A.AB3.B2A3B12.12B4A5.7B8.A$
6.2A5.A6.B2A3B12.7B2A3BAB2.2A3.8B5.3A$12.2A6.4B14.7B2A2B.B3A2.A2.8B4.
A$21.3B14.10B3.B.A.2A3.8B3.2A$22.2B.BA10.8B8.A6.3B2A2B2.4B$21.B2ABA.A
8.9B7.2A4.5B2A2B.3B$20.BABABA.A7.4B2.3B14.13B$18.A2.A.A.A.2A5.4B3.5B
11.16B$18.4A.2A2.A5.4B7.2A10.17B$22.A4.A4.4B8.A12.16B$18.2A2.A.3A4.4B
10.3A10.15B$18.2A3.2A5.4B14.A10.13B$29.4B14.A12.11B8.A$28.4B15.2A7.
15B6.3A$27.4B4.B.7B4.B4.20B3.A$26.4B.7B3A3B4.25B3.2A$19.18B5A36B$18.
18BAB5A33B$18.17B2AB3A2B2A33B$18.18B3A2BAB2A34B$18.19BA6B2A33B$15.B.
11B2.2B3.6BA2BA34B$14.2A9B11.5B3A2B2.29B.B2A$14.2A7B16.6B4.8B.19B.BA.
A$15.7B19.3B9.23B5.A$15.9B19.B11.13B.7B5.2A$17.3B2.2A19.2A11.4B3.4B.
3B.3B$22.A21.A12.3BA4.B3.3B2.2B$23.3A17.A14.3BA6.B2AB.B2AB$25.A17.2A
14.3AB6.2A3.2A!

glider_guns/variable/p00684osc6.rle is actually a p384 gun as it's currently checked in -- just remove the glider on the left side to get the actual p684 gun. The other related tentative gun in that group is 354 (5225, 'p00684osc6_3'), and it also works fine and has the correct bounding box:

x = 95, y = 55, rule = LifeHistory
24.2A44.A11.2A$24.A.A5.2A35.A.A9.B2AB$26.A4.A.A27.A3.2A2.A.A9.3B$22.
4A.2A2.A25.A2.A.A2.A2.2A.2A9.B.B$22.A2.A.A.A.2A15.2A5.3A2.A.A3.A.A2.B
8.5B$24.BABABA.A15.B2AB3.A6.A.4A2.AB2A6.6B$25.B2ABA.A16.2B4.2A7.A3.A.
A.2A4.8B$26.2B.BA18.7B6.A2.BA.A2.13B$25.3B20.6B7.A.2BA.A5.13B$16.2A6.
4B19.8B6.2A.2BA5.15B$17.A6.B2A3B16.9B10.3B4.15B$17.A.AB3.B2A3B14.12B
10.2B.B.17B$18.2AB.10B11.12B4.29B$20.13B11.12B2.16B2A13B$6.2A12.14B
10.12B2.16B2A3B2A9B$6.A.A11.15B8.14B.21BABA3B3.B2A$8.A13.8B2.4B6.37BA
4B4.A2.A$4.4A.2A11.6B5.4B4.4B2.21B2.2B2.B3.6B5.2A.A$4.A2.A.A.A9.9B4.
4B2.4B4.17B14.6B7.A$2.2A2.2ABA.A8.4B4.2A5.8B4.16B14.9B6.2A$.A2.2A2B2A
.2A6.4B5.A7.6B5.15B15.2A4.4B$A.2A2.2ABA3.A4.4B7.3A5.4B5.17B15.A4.4B$A
3.2AB3.3A4.4B10.A4.6B5.8B.7B12.3A5.2BA2B$.3A.A.2A.A5.4B15.8B5.6B4.3B.
B2A10.A6.2BABA4B$3.A3BA.A5.4B15.4B2.4B5.4B9.BA.A16.2BA2BA3B$4.3B7.2A
2B15.4B4.4B4.6B10.A16.4BA4B$4.BAB6.2B2A15.4B6.4B4.B.B2A.A8.2A14.10B$
5.AB.B3.2BAB15.4B8.4B5.B2AB3A21.10B2A$7.8B15.4B10.4B6.B4.A10.2A8.9BA
2BA$5.BA7B15.4B12.4B4.2A.3A12.A9.8BABA$4.BABA5B15.4B14.4B4.A.A14.A.AB
4.11BA$4.2B2A5B14.4B16.4B3.A.A4.A10.2AB.10B3A2B$2.2AB.8B12.4B18.4B3.A
3.3A12.12B2A3B$.A.AB3.7B10.4B20.4B5.A15.17B$.A5.2A2B.4B8.4B22.4B4.2A
15.17B.B$2A5.2A4.4B6.4B16.2A6.9B14.19B2A$14.4B4.4B18.A7.6B14.19B.B2A$
15.4B2.4B19.A.2A5.6B3.B2.2B2.20B4.B$16.8B21.A2.A4.36B$17.6B23.2AB3.
27B.9B$10.2A5.7B23.14B2A16B2.7B$9.A2.A4.7B24.13B2A16B2.7B$8.A.A.A3.7B
2A24.29B4.6B$8.A.A.2A3.2B2AB.2A24.17B.B.2B10.7B$6.2A.A.B.BA2B.ABAB28.
15B4.3B10.6B$6.A2.A.AB2A2B.BAB29.15B5.A2B.2A6.7B$3.2A.A.B2AB.BAB3.4B
28.13B5.A.A2B.A7.5B$3.A2.2ABAB.2A7.2A30.13B2.A.AB2.A8.6B$4.2A2.ABA.A
8.A30.8B4.2A.A.A3.A7.9B$6.5A.A9.3A27.6B6.2ABA2.4A.A5.2A.7B$6.A4.A.2A
9.A27.5B8.B2.A.A3.A.A5.A5.4B$7.3A.A2.A37.B.B9.2A.2A2.A2.A.A2.3A7.4B$
9.A.2A40.3B9.A.A2.2A3.A3.A10.3BA$52.B2AB9.A.A23.3BA$53.2A11.A25.3A!

I've updated the above list accordingly -- 37 tentative guns to go.

EDIT2: I remember someone (chris_c?) posting either a multistate rule, or a script, that would do something along these lines:

-- change the selection to a special "marked" state;
-- evolve only marked cells; or
-- evolve only unmarked cells;
-- change the selection back to a standard ON state.

Was I just imagining that? Now that I want to try it out, I can't find any sign of such a thing. I can throw something like that together easily enough... would like to add another script, a shift.py variant that works only on marked cells instead of on the selection.
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Re: Execution of Old Guns by Variable-Speed Firing Squad

Postby chris_c » October 17th, 2016, 12:38 pm

dvgrn wrote:If I build some of the tentative guns over lunch hour today, would that be useful, or would it just duplicate effort?


Yes I think this would be useful. I haven't done any of that work thus far.

dvgrn wrote:Also, does it maybe make sense to remove old out-of-date guns from the "fixed" collection -- or possibly overwrite each one with the current best adjusted variable gun? I know that's a lot of work, but I'm thinking again about how some of the gun-building might be done semi-automatically.

Currently it seems a little too easy for people to get confused and think they have an improved gun, because they're comparing against a fixed gun instead of what's in the README.


Probably easiest would be to add "#C Obsoleted by p000xyz_d" to any fixed gun that is not a record breaker. Other alternatives I can think of are probably more difficult.

EDIT: On second thoughts you are right... why not just delete fixed guns that are not record breakers.

dvgn wrote:The tentative p159 (4988, 'p00445_4') doesn't work -- the H-to-G component at the top appears to have a minimum recovery time of 202.


Yeah that's a bit of a silly case. I only set tentative_compression = 78 in that family because of possibilities such as the following p151 gun:

x = 98, y = 55, rule = LifeHistory
73.A11.2A$72.A.A9.B2AB$64.A3.2A2.A.A9.3B$63.A.A2.A2.2A.2A9.B.B$63.A.A
3.A.A2.B8.5B$64.A.4A2.AB2A6.6B$32.A33.A3.A.A.2A4.8B$30.3A32.A2.BA.A2.
13B$29.A11.A18.A3.A.2BA.A5.13B$20.4B5.2A8.3A16.3A3.2A.2BA5.15B$20.11B
7.A18.A10.3B4.15B$18.11B5.B3.2A17.2A10.2B.B.17B$17.2A11B2.8B13.2A4B3.
29B$9.A7.2A19B15.2A2B4.16B2A13B$9.3A6.20B14.7B2.16B2A3B2A9B$12.A6.20B
14.7B.21BABA3B3.B2A$11.2A7.21B11.30BA4B4.A2.A$11.5B3.25B2.2B2.B.19B2.
2B2.B3.6B5.2A.A$13.3B2.4B4.20B2A20B14.6B7.A$3.2A7.9B6.6B.11BA2BA17B
14.9B6.2A$3.A8.8B5.5B.B2.10B2A2BA16B15.2A4.4B$2A.A.B3.10B6.2A7.11B2A
2BA16B15.A4.4B$A2.3AB.2B2A7B7.A8.11B4A8B.7B12.3A5.2BA2B$.2A2.BA3B2A7B
4.3A16.8B.6B4.3B.B2A10.A6.2BABA4B$3.4A12B4.A19.6B3.4B9.BA.A16.2BA2BA
3B$3.A.2B3.7B.B2A23.4B5.5B10.A16.4BA4B$4.3AB2.7B.BA.A21.6B7.2A10.2A
14.10B$7.A4.4B5.A20.8B6.A26.10B2A$2.5A5.4B5.2A18.4B2.4B6.3A13.2A8.9BA
2BA$2.A10.4B23.4B4.4B7.A14.A9.8BABA$4.A9.4B21.4B6.4B21.A.AB4.11BA$3.
2A10.4B19.4B8.4B10.A10.2AB.10B3A2B$16.2BAB10.A6.4B10.4B7.3A12.12B2A3B
$17.2B2A7.3A5.4B12.4B5.A15.17B$18.2A2B5.A7.4B14.4B4.2A15.17B.B$19.4B
4.2A5.4B8.2A6.9B14.19B2A$20.9B4.4B10.A7.6B14.19B.B2A$21.6B5.4B11.A.2A
5.6B3.B2.2B2.20B4.B$21.8B2.4B13.A2.A4.36B$19.15B15.2AB3.27B.9B$19.14B
17.3B2A2B2A23B2.7B$19.13B19.B3A2B3A22B2.7B$17.2AB.10B21.B2ABA3BA20B4.
6B$16.A.AB3.B2A3B23.4B5ABA6B.B.2B10.7B$16.A6.B2A3B24.3BA5BA5B4.3B10.
6B$15.2A6.4B26.3BA2B2ABA5B5.A2B.2A6.7B$24.3B27.3BA4BA4B5.A.A2B.A7.5B$
25.2B.BA26.5B2A6B2.A.AB2.A8.6B$24.B2ABA.A24.2B3ABAB4.2A.A.A3.A7.9B$
23.BABABA.A24.2BA3B6.2ABA2.4A.A5.2A.7B$21.A2.A.A.A.A.2A21.3B2A8.B2.A.
A3.A.A5.A5.4B$21.4A.2A2.A2.A21.B.B9.2A.2A2.A2.A.A2.3A7.4B$25.A4.2A24.
3B9.A.A2.2A3.A3.A10.3BA$23.A.A29.B2AB9.A.A23.3BA$23.2A31.2A11.A25.3A!


It is the current record holder for p151 (but looks like it should lose out to the tentative gun p00564_5). The same method doesn't work at p159 but I hoped that something similar could be discovered instead. Now that the p564 family exists I imagine that the best p159 will probably come from p564_9 and I doubt any magical variation of p445_4 can be made to beat it.

dvgrn wrote:glider_guns/variable/p00684osc6.rle is actually a p384 gun as it's currently checked in -- just remove the glider on the left side to get the actual p684 gun.


Thanks. I will fix it.

dvgrn wrote:I remember someone (chris_c?) posting either a multistate rule, or a script, that would do something along these lines:

-- change the selection to a special "marked" state;
-- evolve only marked cells; or
-- evolve only unmarked cells;
-- change the selection back to a standard ON state.

Was I just imagining that? Now that I want to try it out, I can't find any sign of such a thing. I can throw something like that together easily enough... would like to add another script, a shift.py variant that works only on marked cells instead of on the selection.


Yes I posted something like that in the Dart gun thread. I think there is a shift.py variant in there that works as you describe.
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Re: Execution of Old Guns by Variable-Speed Firing Squad

Postby dvgrn » October 17th, 2016, 7:41 pm

chris_c wrote:Probably easiest would be to add "#C Obsoleted by p000xyz_d" to any fixed gun that is not a record breaker. Other alternatives I can think of are probably more difficult.

EDIT: On second thoughts you are right... why not just delete fixed guns that are not record breakers.

Sounds good to me. I'd like to try to get an actual old-fashioned ZIP file eventually, with RLE for every gun from 14 to 999... and an online version of the same, maybe in the Confirmed folder? But I'm not in any particular hurry.

Attached is a ZIP file with the first couple of tentative families instantiated, including the two quoted in my last post.

tentative_no_more_part1.zip
17 guns from the tentative list, mostly p00564_N
(13.97 KiB) Downloaded 35 times

EDIT: I see on looking at the Confirmed folder that the naming convention is a little different than I thought. I've added a second ZIP file, just the same as the first except with names corrected to match the Confirmed folder.

tentative_no_more_part1_names_corrected.zip
Same 17 guns as other attachment, but in Confirmed-folder name format instead of Jason Summers gun collection format
(14.29 KiB) Downloaded 41 times
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Re: Execution of Old Guns by Variable-Speed Firing Squad

Postby dvgrn » October 18th, 2016, 2:26 pm

dvgrn wrote:Attached is a ZIP file with the first couple of tentative families instantiated, including the two quoted in my last post.

The rest of the tentative guns are attached. The success rate was fairly good:

guns_with_tentativeness_removed_part_2.zip
19 more working guns from the tentative list
(17.14 KiB) Downloaded 41 times

The only problems were with

335 (5192, 'p00550osc5_15') (actual size had to be 5280, but that's still a new record);
367 (5427, 'p00726_1') (unavoidable signal collision);
383 (5695, 'p00726_5') (actual size would be 6120, which does not improve on the existing gun)
391 (5829, 'p00726_7') (would be bigger than the p383, so also not an improvement).

The only gun in the p726+8N family where the signal collision wasn't a problem was the last one, 415 (6510, 'p00726_13').
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Re: Execution of Old Guns by Variable-Speed Firing Squad

Postby chris_c » October 20th, 2016, 7:08 pm

dvgrn wrote:The rest of the tentative guns are attached. The success rate was fairly good.


Thanks very much!

dvgrn wrote:The only problems were with

335 (5192, 'p00550osc5_15') (actual size had to be 5280, but that's still a new record);
367 (5427, 'p00726_1') (unavoidable signal collision);
383 (5695, 'p00726_5') (actual size would be 6120, which does not improve on the existing gun)
391 (5829, 'p00726_7') (would be bigger than the p383, so also not an improvement).

The only gun in the p726+8N family where the signal collision wasn't a problem was the last one, 415 (6510, 'p00726_13').


Once I confirmed that p00726_1_p00367 was non-viable a new tentative suggestion appeared: p00686_6_p00367. I added that and now the Tentative list is empty.
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Re: Execution of Old Guns by Variable-Speed Firing Squad

Postby dvgrn » October 20th, 2016, 7:30 pm

chris_c wrote:Once I confirmed that p00726_1_p00367 was non-viable a new tentative suggestion appeared: p00686_6_p00367. I added that and now the Tentative list is empty.

Sounds good!

So what's next? For example, would it be helpful to make a list of non-recordbreaking guns to delete from the fixed collection, or is that already trivial with the tools you've put together?
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Re: Execution of Old Guns by Variable-Speed Firing Squad

Postby chris_c » October 21st, 2016, 4:36 am

dvgrn wrote:So what's next? For example, would it be helpful to make a list of non-recordbreaking guns to delete from the fixed collection, or is that already trivial with the tools you've put together?


That was quite easy to do. As of now the 'fixed' directory has only 217 files.
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Re: Execution of Old Guns by Variable-Speed Firing Squad

Postby dvgrn » October 23rd, 2016, 12:18 pm

Leaving this as a placeholder -- the Hall of the Insane p17 still looks too big compared to the p34, somehow. I haven't quite proved yet that it's suboptimal, but there's a promising amount of free space in the corners of this:

x = 252, y = 269, rule = LifeHistory
48.A$48.3A$51.A12.A$50.2A12.3A$50.5B7.2A3.A$52.3BAB4.A.A.2A.A$51.3BAB
A3BA2BAB.A.A$50.4BA2BA2B.4B.A.2A$51.4B2A3B2.2BA.A$52.6B4.ABA.A$53.5B
5.2A.2A$52.7B$51.4B.4B$50.4B3.4B$49.4B5.4B7.A$48.4B7.4B6.3A$47.4B9.3B
A8.A$46.4B11.3BA6.A.A$45.4B13.3AB5.A.AB$44.4B15.4B5.A3B$43.4B17.4B6.
4B$42.4B19.4B5.6B$41.4B21.4B4.7B$40.4B23.4B2.8B.4B.B$39.2A2B25.17B.B
2A$38.2B2A27.18B2A$37.2BAB28.16B.2B$36.4B29.16B$23.2A10.4B30.15B$24.A
9.4B29.2AB.6B2A4B$22.A10.4B29.A.AB2.5B2A4B$22.5A5.4B5.2A23.A5.10B$27.
A4.4B5.A23.2A5.2B2A6B$24.3AB2.7B.BA.A29.2B2ABA5B$23.A.2B3.7B.B2A31.B
2ABA5B$23.4A12B33.3BA4B.B2A.A$21.2A2.BA3B2A7B32.7B3.B2AB3A$20.A2.3AB.
2B2A7B32.6B6.B4.A$20.2A.A.B3.10B33.6B4.2A.3A$23.A8.8B32.5B4.A2.2A26.
2A.2A$23.2A7.9B30.8B.A.A30.A.2A24.A11.2A$33.3B2.4B29.8BA.A.2A.A24.B.A
26.A.A9.B2AB$31.5B3.4B19.2A7.6B.2BAB.A.2A23.B3A18.A3.2A2.A.A9.3B$31.
2A7.4B19.A6.7B2.2B2.A25.BAB2.2A15.A.A2.A2.2A.2A9.B.B$32.A8.4B18.A.AB
3.7B3.B.2A25.B4A2.A.A12.A.A3.A.A2.B8.5B$19.2A8.3A10.4B18.2AB2.8B2.A.A
2.2A24.2B.A.2A.3A11.A.4A2.AB2A6.BA4B$19.A.A7.A13.4B19.11B2.2A2.A2.A
22.B3A2.A5.A12.A3.A.A.2A4.2B3A3B$21.A4.2A.A14.4B18.11B7.2A23.A5.A4.2A
11.A2.BA.A2.8BA2BAB$17.4A.2A2.A2.A.2A12.3BA17.11B33.5A5.5B7.A.2BA.A5.
4BAB5A2B$17.AB.A.B.A.A.2A.2A13.B2AB15.11B36.A9.4B6.2A.2BA5.4B2AB4A4B$
17.4B2ABA.A20.ABAB15.7B.2B45.5B10.3B4.15B$17.4B2ABA.A21.4B14.11B42.B.
6B10.2B.B.7BA9B$18.5B.BA23.4B14.10B41.9B3.25B2A2B$19.4B27.4B13.12B35.
B.11B2.22B3AB3A2B$11.2A6.5B27.4B13.13B32.2A7B3A2B2.26B2A4B$12.A6.ABA
3B27.4B9.17B31.2A7BA2BA2B.27B3.B2A$12.A.AB3.B2A4B27.4B7.17B33.B.6BA
32B4.A2.A$13.2AB.10B27.4B5.2B2A16B34.4BA4BA12B2.2B2.B3.6B5.2A.A$15.
11BAB27.4B5.B2A6B.4B3.2A33.3B3A5BA8B14.6B7.A$15.12B2A27.4B3.8B4.B5.A
32.6B2A6BA5B14.9B6.2A$15.11B2A2B27.4B2.6B13.3A29.7B3AB4A4B15.2A4.4B$
17.8B2.4B27.4B.7B14.A30.7BA3B2A6B15.A5.4B$17.6B5.4B27.4B.6B40.2A.AB2A
17B12.3A7.4B$16.9B4.4B27.9B41.A.2A.2A11B.3B.B2A10.A10.4B$3.2A10.4B4.
2A5.4B27.3BA2B2A47.11B6.BA.A21.4B$4.A9.4B5.A7.4B27.8B48.10B8.A22.4B$
2.A10.4B7.3A5.4B27.BA3BAB49.10B7.2A22.4B8.A$2.5A5.4B5.3A2.A6.4B27.4BA
B7.2A39.11B25.2A5.4B5.5A$7.A4.4B5.A2.A9.4B26.BABA3B6.A40.11B26.A5.4B
4.A5.A$4.3AB2.7B.BA.A2.2A4.2A3.4B25.7B3.BA.A39.13B25.A.AB.7B2.B3A2.A$
3.A.2B3.7B.B2A8.B2AB3.4B24.B3A4B2.B2A37.2B.13B.2B23.2AB.7B3.2B.A.2A$
3.4A12B11.2B5.4B23.11B38.21B24.12B4A2.A$.2A2.BA3B2A7B12.2B4.5B22.11B
36.25B22.2B3A2B2A3BAB2.2A$A2.3AB.2B2A7B11.3B2A9B20.11B4.A31.25B22.4BA
2B2A2B.B3A$2A.A.B3.10B11.3B2A9B21.11B2.A.A29.27B21.3BA6B3.B.A$3.A8.8B
.B5.18B3.B19.7B3.A.A29.27B20.8B8.A.2A$3.2A7.20BA13B2.2B17.8B2.2A.3A
21.A4.29B18.9B7.2A.2A$13.3B.B3A10BABA7B3A3B.2B16.8B4.B4.A18.3A5.27B
18.4B2.3B$11.5B.A2B3A7BA9BA3BA5B17.7B2.B2AB3A18.A8.6B2.11B2.6B10.A6.
4B3.5B$11.2A4.4A2BA2B2A2BA2B2A5BA2BA5B17.9B.B2A.A19.A.A6.A3B.B3.8B.B
4.B.3BA7.3A5.4B7.2A14.A11.2A$12.A5.2ABABA2B2AB2AB3A5BA2BA6B16.13B20.B
A.A5.BABA7.B.4B10.ABAB5.A7.4B8.A14.A.A9.B2AB$9.3A4.ABA2.BA7BA2BA7BA9B
15.11B7.2A12.3BA5.2B2A11.3B11.2A2B4.2A5.4B10.3A3.A3.2A2.A.A9.3B$9.A5.
A.2A4.B.6B2AB2A3B2A2.4B.4B12.2AB.7BAB7.A11.4B6.4B12.4B11.9B4.4B13.A2.
A.A2.A2.2A.2A9.B.B$15.A11.4B5AB.2B2.4B3.4B10.A.AB2.5B4AB2.BA.A9.6B5.
4B12.BA3B12.6B5.4B4.A12.A.A3.A.A2.B8.5B$14.2A12.5B3AB4.4B5.BABA9.A5.
4BA3BA2B.B2A9.7B4.4B12.BABAB13.8B2.4B5.3A11.A.4A2.AB2A6.6B$25.11B4.4B
7.B2AB7.2A5.4BAB4A3B4.B.4B.8B2.4B13.A.A2.2B2.B6.15B9.A12.A3.A.A.2A4.
8B$24.12B5.2B3.B5.A3B13.6B2A5B3.2AB.17B12.3A2.3AB.B2A5.14B9.2A11.A2.B
A.A2.13B$15.2A7.12B5.3B.B2A5.4B11.14B3.2A18B12.A3.2A2.BA2B2A5.13B10.
5B7.A.2BA.A5.13B$14.A2.A2.2A2.11B7.A3B2A6.4B9.14B5.2B.16B13.3A2.2A.AB
.B4.2AB.10B13.4B6.2A.2BA5.15B$15.2A2.A.A2.8B.4B4.A.AB.B8.4B7.4B2.5B
12.16B15.A.A2.AB6.A.AB3.B2A3B14.5B10.3B4.15B$17.2A.B3.7B4.2A3.A.AB12.
4B5.4B3.6B12.15B16.A.A9.A6.B2A3B12.B.6B10.2B.B.5B2A10B$17.A2.2B2.7B4.
A4.A16.4B3.4B4.6B13.4B2A6B.B2A15.A9.2A6.4B13.9B3.16B4A9B$14.2A.A.BA2B
.6B6.3A.A17.4B.4B4.6B14.4B2A5B2.BA.A33.3B9.B.11B2.16BABAB2A9B$14.A.2A
.A.A8B8.A.2A17.7B.B2.7B15.7BA2B5.A34.2B.BA5.2A12B2.16BAB3A11B$18.A.A.
8B30.13B4A15.6B2A2B5.2A32.B2ABA.A4.2A13B.4B3A10B2A8B3.B2A$15.2A2.A4.
5B31.12B2A3B15.5BA2BA2B37.BABABA.A5.B.14BA4BA11BA7B4.A2.A$13.3A.2A4.
6B31.11B2A4B15.5BABA2B36.A2.A.A.A.2A7.12B2A3BA4B2.2B2.B3.6B5.2A.A$12.
A4.B6.6B28.2AB2.9BABA.2BA9.A.2AB.4B2A2B36.4A.2A2.A7.12B2A6B14.6B7.A$
13.3AB2AB3.7B27.A.AB3.9BA2.2A.A6.3AB2AB3.7B39.A4.A5.15BA2BAB14.9B6.2A
$15.A.2AB.BA6B28.A7.7B7.A5.A4.B6.6B35.2A2.A.3A6.16B2AB15.2A4.4B$19.4B
A5B27.2A8.6B7.2A5.3A.2A4.6B36.2A3.2A9.19B15.A5.4B$19.3B3A5B37.BABAB
16.2A2.A4.5B47.2A.AB2A17B12.3A7.4B$19.3BA6B5.2A32.B2AB19.A.A.8B46.A.
2A.2A11B.3B.B2A10.A10.4B$19.2B3A5B5.A34.A3B15.3A.A.A8B8.A43.11B6.BA.A
21.4B$18.4B2A5B2.BA.A34.5B13.A2.A.BA2B.6B6.3A45.10B8.A22.4B$18.5BA6B.
B2A35.6B11.A.A.A2.2B2.7B4.A49.10B7.2A22.4B8.A$17.15B40.4B11.A2.2A.B3.
7B4.2A47.11B25.2A5.4B5.5A$16.16B41.4B11.2A2.A.A2.8B.4B47.11B26.A5.4B
4.A5.A$13.2B.16B42.4B12.A2.2A2.11B48.13B25.A.AB.7B2.B3A2.A$12.2A18B
43.2BAB7.4A7.12B44.2B.13B.2B23.2AB.7B3.2B.A.2A$12.2AB.17B43.2B2A5.A
11.12B43.21B24.12B4A2.A$13.B.4B.8B2.4B43.2A2B4.3A10.11B41.25B22.7B2A
3BAB2.2A$20.7B4.4B43.4B6.A12.7B42.25B22.7B2A2B.B3A$21.6B5.4B43.4B4.2A
11.8B41.4BA17BA4B21.10B3.B.A$23.4B6.4B43.4B3.10B.10B41.4BABA13BABA4B
20.8B8.A.2A$25.3BA5.4B43.4B4.21B33.A4.5B2A15B2A5B18.9B7.2A.2A$26.BA.A
5.4B43.4B2.22B31.3A5.27B18.3AB2.3B$27.A.A6.4B43.4B.23B.B27.A8.6B2.11B
2.6B10.A6.3BA3.5B$28.A8.2B2A43.BABA24B2A25.A.A6.4B.B3.8B.B4.B.4B7.3A
5.3BA7.2A26.2A$29.3A.2A3.BABA8.A34.B2A24B2A24.BA.A5.4B7.B.4B10.4B5.A
7.4B8.A27.2A$31.A.A5.A3B5.5A33.A4B2.2B2.B3.12B24.3BA5.4B11.3B11.4B4.
2A5.4B10.3A$33.A5.4B4.A5.A33.4B5.3B3.7B.3B22.4B6.4B12.4B11.9B4.4B13.A
9.A11.2A$33.A.AB.7B2.B3A2.A32.5BA4.B2AB4.4B25.6B5.4B12.BA3B12.6B5.4B
23.A.A9.B2AB$34.2AB.7B3.2B.A.2A27.B2.4BABAB4.2A5.3B25.7B4.4B12.BABAB
13.8B2.4B16.A3.2A2.A.A9.3B$36.12B2ABA2.A13.2A10.8B2.2A2B8.2AB20.B.4B.
8B2.4B13.A.A2.2B2.B6.15B16.A.A2.A2.2A.2A9.B.B$36.7B2A3BAB2.2A14.A9.9B
4.4B6.A.AB19.2AB.17B12.3A2.3AB.B2A5.14B4.A12.A.A3.A.A2.B8.5B$36.7BA3B
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6B$36.10B3.B.A8.2A6.2A7.8B8.2B2A3.2A23.2B.16B13.3A2.2A.AB.B4.2AB.10B
9.A12.A3.A.A.2A4.8B$35.8B8.A.2A4.B2AB2.2B.B7.10B8.2A2B30.7BABA6B15.A.
A2.AB6.A.AB3.B2A3B10.2A11.A2.BA.A2.13B$34.9B7.2A.2A5.2B3.5B6.9B10.4B
30.6BABA6B16.A.A9.A6.B2A3B10.5B7.A.2BA.A5.13B$33.4B2.3B17.4B.5BAB6.7B
12.4B30.B2A3BA5B.B2A15.A9.2A6.4B14.4B6.2A.2BA5.15B$32.4B3.5B15.8BA2BA
4.9B9.A3.4B29.B3A7B2.BA.A33.3B13.5B10.3B4.15B$31.4B7.2A6.2A6.8BA4BA.
13B6.A.A3.4B29.2ABA6B5.A34.2B.BA8.B.6B10.2B.B.17B$30.4B8.A8.A5.8B2A
20B5.A.A4.4B28.BAB2A5B5.2A32.B2ABA.A6.9B3.8BAB2A17B$29.4B10.3A5.A.AB
3.2BA3B6A2BA13B4.B2A.2A4.4B27.B3A7B37.BABABA.A2.B.11B2.8BA2B2A2B3A13B
$28.4B13.A6.2AB.3BAB2ABA2BA3B4A12B2.BA2.A2.A4.BABA26.2BA7B36.A2.A.A.A
.A.2A12B2.8BA6B2A15B$27.4B23.4BA2B2A8BA3BA13BABA.A.A.A4.B2AB21.A.2AB.
8B36.4A.2A2.A.2A13B.8B2A4B2A11B3.B2A$26.4B24.7BA4BAB2A3B2A15BA.A.A.A
6.A3B18.3AB2AB3.7B39.A4.A2.B.23BA15B4.A2.A$25.4B25.2BA3BA5B2A3B3A17B.
A.A9.4B16.A4.B6.6B35.2A2.A.4A5.22B2.2A2.B3.6B5.2A.A$24.4B27.BA3BA25B
2.2B.BAB.A9.4B16.3A.2A4.6B36.2A3.A8.20B14.6B7.A$23.4B30.2A26B6.2B2AB
10.4B17.2A2.A4.5B43.A4.20B14.9B6.2A$22.4B35.25B7.2B12.4B19.A.A.8B38.
4A.A3.19B15.2A4.2B2A$21.4B37.7B3.13B7.2B14.4B15.3A.A.A8B8.A28.A4.A5.
19B15.A5.BABA$20.3AB35.11B5.9B7.B2AB14.2BAB13.A2.A.BA2B.6B6.3A29.4A4.
AB2A17B12.3A7.A3B$10.A8.3BA35.12B7.7B8.2A16.2B2A11.A.A.A2.2B2.7B4.A
38.3A.2A11B.3B.B2A10.A10.4B$8.5A5.3BA5.2A20.2A7.12B6.9B26.2A2B11.A2.
2A.B3.7B4.2A31.2A3.A5.11B6.BA.A21.4B$7.A5.A4.4B5.A20.A2.A2.2A2.11B7.
10B11.A14.4B11.2A2.A.A2.8B.4B31.2A3.2A6.10B8.A22.4B$7.A2.3AB2.7B.BA.A
21.2A2.A.A2.8B.4B6.8B10.3A15.3BA12.A2.2A2.11B47.10B7.2A22.4B8.A$6.2A.
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6.A2.4A12B26.A2.2B2.7B4.A8.9B7.2A18.B3AB5.A11.12B45.11B26.A5.4B4.A5.A
$7.2A2.BA3B2A7B23.2A.A.BA2B.6B6.3A7.8B3.5B18.B.4B4.3A10.11B44.13B25.A
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42.2B.13B.2B23.2AB.7B3.2B.A.2A$9.A.B3.10B27.A.A.8B22.9B7.2A.2A11.BABA
4.2A11.8B41.5B3A5B3A5B24.12B4A2.A$6.2A.A8.8B23.2A2.A4.5B24.3BA4B8.A.
2A12.B2AB3.10B.10B39.7BA3BABA3BA7B22.7B2A3BAB2.2A$6.2A.2A7.9B20.3A.2A
4.6B25.3BA6B3.B.A16.A3B4.8BABA10B33.A3.5B2AB2A5B2AB2A5B22.7B2A2B.B3A$
19.3B2.4B18.A4.B6.6B24.B3A3B2A2B.B3A17.4B2.3B3A2BA2BA2BA7B31.3A2.6BA
13BA6B21.10B3.B.A$17.5B3.5B17.3AB2AB3.7B24.7B2A3BAB2.2A16.4B.3BA2BAB
2A4B4A5B.B27.A5.6BABA3B3A3BABA6B20.8B8.A.2A$17.2A7.4B19.A.2AB.8B25.
12B4A2.A16.7B2AB2A6B5A5B2A25.A.A3.8B3A7B3A8B18.9B7.2A.2A$18.A8.4B22.
2BA7B23.2AB.7B3.2B.A.2A17.8B3A16B2A24.BA.A4.27B18.4B2.3B$15.3A10.4B
21.B3A7B21.A.AB.7B2.B3A2.A19.5B2.2B2.B3.12B24.3BA5.6B2.5BA5B2.6B10.A
6.4B3.5B$15.A13.4B20.BAB2A5B5.2A15.A5.4B4.A5.A20.2BAB5.3B3.3BA3B.3B
22.4B6.4B.B3.4B3AB.B4.B.4B7.3A5.4B7.2A$30.4B19.2ABA6B5.A15.2A5.4B5.5A
20.4B2A4.B2AB4.B2AB25.4BAB5.4B7.B.4B10.4B5.A7.4B8.A$31.4B17.B3A7B2.BA
.A21.4B8.A18.B2.4B2A2B4.2A5.2BA25.4B3A4.4B11.3B11.4B4.2A5.4B10.3A$32.
4B16.B2A3BA5B.B2A21.4B14.2A10.4B3AB2.4B8.2AB20.B.4B.3BABABA2.4B12.4B
11.9B4.4B13.A$33.4B14.6BABA6B22.4B15.A9.8BA4.4B6.A.AB19.2AB.7BABABA5B
12.BA3B12.6B5.4B$34.4B12.7BABA6B21.4B17.A8.7BA6.4B5.A22.2A7B2AB3AB2A
2B12.BABAB13.8B2.4B$35.4B8.2B.16B20.4B9.2A6.2A7.8B8.4B3.2A23.2B.4BAB
2ABAB2ABAB12.A.A2.2B2.B6.11B3AB$36.2B2A6.2A18B19.4B9.B2AB2.2B.B7.10B
8.4B30.3B2ABA5BAB2A10.3A2.3AB.B2A5.13BA$37.BABAB4.2AB.17B6.A10.4B11.
2B3.3B2A6.9B10.4B30.3B2ABA3BAB3A9.A3.2A2.BA2B2A5.12BA$38.A4B4.B.4B.8B
2.4B5.3A7.4B11.4B.4B2AB6.7B12.BABA30.3B3A3B3A.3A8.3A2.2A.AB.B4.2AB.
10B$39.4B11.7B4.4B7.A5.4B12.12B4.9B9.A3.B2AB29.11B2.BA.A9.A.A2.AB6.A.
AB3.B2A3B$39.5B11.6B5.4B5.2A4.4B4.2A6.14B.13B6.A.A3.A3B29.10B5.A10.A.
A9.A6.2BA3B$41.4B12.4B6.4B4.9B6.A5.30B5.A.A4.4B28.10B5.2A10.A9.2A6.4B
$42.4B13.3BA5.4B5.3A3B7.A.AB3.28B4.B2A.2A4.3BA27.11B35.3B$43.4B13.BA.
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6.5BA5BA3B8.8BA3BA22BABA.A.A.A4.2A2B21.A.2AB.8B36.B2ABA.A$45.4B13.A8.
4BA5BA3B8.8BA2B2A23BA.A.A.A6.4B18.3AB2AB3.7B34.BABABA.A$46.4B13.3A6.
3BA5BA3B8.8B2A27B.A.A9.2BAB16.A4.B6.6B32.A2.A.B.A.2A$47.4B14.A7.3BA3B
A2B.B2A7.31B2.2B.BAB.A9.2B2A16.3A.2A4.6B33.4A.2A2.A$48.4B23.2B3AB3.BA
.A8.7B2A19B6.2B2AB10.2A2B17.2A2.A4.A4B37.A4.A$49.4B22.6B6.A12.2BA2BA
19B7.2B12.4B19.A.A.3BA4B32.2A2.A.3A$50.5B7.A14.4B6.2A12.3B2A2B3.13B7.
2B14.3BA15.3A.A.9B8.A23.2A3.2A$44.2A5.5B4.5A12.3B18.11B5.9B7.B2AB14.
3BA13.A2.A.B3A.6B6.3A$45.A5.5B3.A5.A8.AB.2B18.12B7.7B8.2A16.3AB11.A.A
.A2.2B2.7B4.A$45.A.AB.7B2.B3A2.A7.A.AB2AB8.2A7.12B6.9B26.4B11.A2.2A.B
3.7B4.2A$46.2AB.8B2.2B.A.2A6.A.ABABAB6.A2.A2.2A2.11B7.10B11.A14.4B11.
2A2.A.A2.8B.4B$48.12B4A2.A5.2A.A.A.A2.A5.2A2.A.A2.8B.4B6.8B10.3A15.BA
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2AB7.4A7.12B$48.7B2A4B3A9.A4.A11.A2.2B2.7B4.A8.8BA7.2A18.BA3B5.A11.
12B$48.14B.A10.3A.A2.2A4.2A.A.B3A.6B6.3A7.4B3AB3.5B18.B.4B4.3A10.11B$
47.8B4.4BA.2A9.2A3.2A4.A.2A.A.9B8.A9.B2.4B2.3B23.4B6.A12.3B2A2B$10.2B
.BA28.B2.9B5.2B2A.2A24.A.A.3BA4B22.9B7.2A.2A11.4B4.2A11.2BA2BA2B$9.B
2ABA.A13.2A10.4B3AB2.3B34.2A2.A4.A4B24.8B8.A.2A12.4B3.10B.5B2A3B$8.BA
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7.8B8.A31.3AB2AB3.7B24.7B2A3BAB2.2A16.2B2A.13BA2B2A5B.B$10.A4.A4.B2AB
2.2B.B7.10B8.3A30.A.2AB.8B25.12B4A2.A16.2A15BA3BA6B2A$6.2A2.A.3A6.2B
3.3B2A6.9B11.A34.10B23.2AB.7B3.2B.A.2A17.17B3A7B2A$6.2A3.2A7.4B.4B2AB
6.7B47.11B21.A.AB.7B2.B3A2.A19.3BAB2.2B2.B3.12B$20.12B4.9B9.A37.10B5.
2A15.A5.4B4.A5.A20.3BA5.3B3.7B.3B$11.2A6.14B.13B6.A.A36.10B5.A15.2A5.
4B5.5A20.2B3AB4.B2AB4.4B$12.A5.30B5.A.A35.11B2.BA.A21.4B8.A18.B2.8B4.
2A5.3B$12.A.AB3.28B4.B2A.2A34.3B3A3B3A.3A21.4B14.2A10.8B2.4B8.2AB$13.
2AB.7B3A21B2.BA2.A2.A32.3B2ABA3BAB3A22.4B15.A9.9B4.BABA6.A.AB$15.8BA
3BA22BABA.A.A.A30.3B2ABA5BAB2A21.4B17.A8.8B6.B2AB5.A$15.8BA2B2A23BA.A
.A.A28.2B.4BAB2ABAB2ABAB20.4B9.2A6.2A7.8B8.A3B3.2A$15.8B2A27B.A.A29.
2A7B2AB3AB2A2B19.4B9.B2AB2.2B.B7.10B8.4B$16.31B2.2B.BAB.A28.2AB.7BABA
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A2.4B5.3A7.4B11.4B.4B2AB6.4BA2B12.ABAB$22.2BA2BA3B.15B7.2B37.4B3A4.4B
7.A5.4B12.12B4.5BA3B9.A3.2A2B$23.3B2A2B3.13B7.2B39.4BAB5.4B5.2A4.4B4.
2A6.14B.13B6.A.A3.4B$20.11B5.9B7.B2AB40.4B6.4B4.9B6.A5.30B5.A.A4.2BAB
$19.12B7.7B8.2A43.3BA5.4B5.2BA3B7.A.AB3.28B4.B2A.2A4.2B2A$10.2A7.12B
6.9B53.BA.A5.4B2.4BABAB8.2AB.31B2.BA2.A2.A4.2A2B$9.A2.A2.2A2.11B7.10B
11.A41.A.A6.9B2A4B8.35BABA.A.A.A4.4B$10.2A2.A.A2.8B.4B6.8B10.3A42.A8.
14B8.36BA.A.A.A6.3BA$12.2A.B3.7B4.2A7.7BA8.A46.3A6.13B8.37B.A.A9.3BA$
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3A.6B6.3A7.4B3AB3.5B57.3B2AB3.BA.A8.28B6.2B2AB10.4B$9.A.2A.A.9B8.A9.B
2.4B2.3B59.3B2AB6.A12.25B7.2B12.4B$13.A.A.3BA4B22.9B7.2A.2A48.4B6.2A
12.7B3.13B7.2B14.BABA$10.2A2.A4.A4B24.8B8.A.2A48.3B18.4B2A5B5.5BA3B7.
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$7.A4.B6.6B24.7B2A2B.B3A47.A.AB2AB8.2A7.7BA4B6.3B3A3B26.4B$8.3AB2AB3.
7B24.7B2A3BAB2.2A45.A.ABABAB6.A2.A2.2A2.5BABA3B7.10B11.A14.3BA$10.A.
2AB.8B25.12B4A2.A43.2A.A.A.A2.A5.2A2.A.A2.4BA3B.4B6.8B10.3A15.ABAB$
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14.11B21.A.AB.7B2.B3A2.A45.A4.A11.A2.2B2.4BA2B4.A8.9B7.2A19.4B$14.10B
5.2A15.A5.4B4.A5.A46.3A.A2.2A4.2A.A.BA2B.3BA2B6.3A7.8B3.5B20.2BAB$14.
10B5.A15.2A5.4B5.5A49.2A3.2A4.A.2A.A.A8B8.A9.B2.4B2.3B23.2B2A$13.11B
2.BA.A21.4B8.A66.A.A.8B22.9B7.2A.2A11.2A2B$13.3B3A3B3A.3A21.4B73.2A2.
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3BA$11.3B2ABA5BAB2A21.4B72.A4.B6.6B24.7B2A2B.B3A17.3BA$8.2B.4BAB2ABAB
2ABAB20.4B74.3AB2AB3.7B24.7B2A3BAB2.2A16.3AB$7.2A7B2AB3AB2A2B19.4B77.
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$15.4B3A4.4B7.A5.4B84.6B2A2B5.2A15.A5.4B4.A5.A20.B2AB$16.4BAB5.4B5.2A
4.4B85.10B5.A15.2A5.4B5.5A22.A3B$18.4B6.4B4.9B85.11B2.BA.A21.4B8.A25.
4B$20.3BA5.4B5.2BA3B86.7B3A2B.B2A21.4B36.3BA$21.BA.A5.4B2.4BABAB85.8B
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16B20.4B42.4B$24.3A6.13B78.2A18B19.4B44.2BAB$26.A7.10B.B2A76.2AB.17B
6.A10.A3B46.2B2A$36.3B2AB3.BA.A76.B.4B.8B2.4B5.3A7.BABA48.2A2B$36.3B
2AB6.A83.7B4.4B7.A5.2B2A50.4B$38.4B6.2A83.6B5.4B5.2A4.4B52.3BA$38.3B
94.4B6.4B4.9B54.3BA$35.AB.2B97.3BA5.4B5.6B56.3AB$34.A.AB2AB97.BA.A5.
4B2.8B57.4B$34.A.ABABAB97.A.A6.15B56.4B$33.2A.A.A.A2.A96.A8.14B57.BAB
A$34.A2.2A.4A97.3A6.13B58.B2AB$34.A4.A103.A7.10B.B2A57.A3B$35.3A.A2.
2A109.3B2AB3.BA.A57.4B$37.2A3.2A109.3B2AB6.A58.3BA$155.4B6.2A58.ABAB$
155.3B68.2A2B$152.AB.2B70.4B$151.A.AB2AB70.2BAB$151.A.ABABAB70.2B2A$
150.2A.A.A.A2.A69.2A2B$151.A2.2A.4A70.4B$151.A4.A75.3BA$152.3A.A2.2A
72.3BA$154.2A3.2A73.3AB!

The current p17 is 256 by 212, so it's going to be pretty close -- maybe it's optimistic to think that there are forty-odd rows that can be freed up at the top. But it looks like the middle input in the sets of three inputs in the NE and SW could be replaced by a glider stream bounced in from the corners by Snarks -- should be quite a bit narrower.

I'd also like to try chaining glider splitters for the sets of three inputs, instead of having each input cost a whole gun. Anyone have a collection of smallest syringe-based splitters organized by relative timings somehow? Seems like that might come in handy. (As a start, I'm working on fixing up the H-to-G collection -- have posted an annual October update.)
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Re: Execution of Old Guns by Variable-Speed Firing Squad

Postby chris_c » October 23rd, 2016, 1:43 pm

dvgrn wrote:Leaving this as a placeholder -- the Hall of the Insane p17 still looks too big compared to the p34, somehow. I haven't quite proved yet that it's suboptimal, but there's a promising amount of free space in the corners of this.


Ah, good point. Going for p102 might be a winner but it should be noted that a smaller p85 gun has been discovered since I last worked on the p17:

x = 67, y = 59, rule = LifeHistory
13.2A2.A16.A$13.A2.A.A13.3A$14.A.A.A12.A$13.2A.A.2A11.2A$12.A3.AB.A2B
6.5B$11.A.3A.BA3B4.BA3B$11.A.B.2A2BA6BABA3B$12.4A.BA3B.2BA2BA4B$16.AB
.A2B.3B2A4B$10.5A.A.2A5.6B$10.A2.A2.A.A6.5B$15.A2.A5.5B2A$9.A6.2A5.4B
.2A2B$9.3A10.4B3.BA2B$12.A8.4B5.4B$11.2A7.4B7.4B$11.5B3.4B9.4B$13.BAB
2.4B11.4B$3.2A7.B3A5B13.4B$3.A8.5A3B15.4B$2A.A.B3.2BA5BAB17.4B$A2.3AB
.2B2A2BA4B18.4B$.2A2.BA2B3ABABA3B19.4B$3.4A3B2A2BA4B20.4B18.A$3.A.2B
3.BA5B.B2A19.4B11.2A3.A.A$4.3AB2.2B4AB.BA.A19.4B11.A3.A2.A$7.A4.B3A5.
A20.4B10.A.2A.A.A$2.5A5.2BAB5.2A20.4B10.A.A.A.2A$2.A10.4B27.4B10.2B2A
.A2.A$4.A9.4B27.4B10.4B2.2A$3.2A10.4B27.4B6.7B$16.4B27.4B3.8B$17.4B
22.2A3.2B2A.8B$18.4B22.A4.BABA8B$19.4B21.A.AB2.A10B.2B$20.4B10.A10.2A
B.14B2A$21.4B7.3A12.16B2A$22.4B5.A15.14B.2B$23.4B4.2A15.13B$16.2A6.9B
14.14B.2B$17.A7.6B14.18B2A$17.A.2A5.6B3.B2.2B2.4BA2BA11B.B2A$18.A2.A
4.17B2ABA2B2A10B2.B$19.2AB3.4B2A12B2ABA4BA.8B$20.8BABA12B2A7B2.7B$21.
7BA16BA4B2A2.7B$22.6BABA14B2AB2AB3.7B$22.7B2A8B.B.2B11.6B.BA$23.15B4.
3B10.7BA.A$23.15B5.A2B.2A6.8BA$24.13B5.A.A2B.A6.6B.B$26.13B2.A.AB2.A
7.5B$25.8B4.2A.A.A3.A8.6B$25.6B6.2ABA2.4A.A4.2AB.5B$25.5B8.B2.A.A3.2A
3.A.AB3.4B$25.B.B9.2A.2A.A.A6.A7.4B$26.3B9.A.A3.A.3A2.2A8.3BA$25.B2AB
9.A.A4.A2.A13.3BA$26.2A11.A6.2A15.3AB!
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Re: Execution of Old Guns by Variable-Speed Firing Squad

Postby simeks » October 26th, 2016, 11:57 am

Smaller p44:

x = 42, y = 29, rule = LifeHistory
2.2A18.A3.2A3.2A$2.AB.A14.3A4.A4.A$4.2AB12.A6.A3.A$3.3A13.2A5.2A2.2A
5.2A$2.BAB11.5B2.3B2.A.A2.A3.2A.B$.2A2B10.4B3.6BA3.2A5.3A$.3B11.5B2.
6B.A8.BAB$2.2A5.2A3.14B2A7.3A$2.2B4.B2AB.14B.B7.B2AB$2.BA4.4B2.13B5.B
3.BAB$3.2B4.2B3.14B3.3B3.BA$.2B3A2.9B2A4B2A9B3.2B$.B3A2B.8BABA4BABA9B
2.2A$2.2B3.9BA8BA9B3.2B$3.2A2.9BABA4BABA8B.2B3AB$3.2B3.9B2A4B2A9B2.3A
2B$3.AB3.3B3.14B3.2B4.2B$3.BAB3.B5.13B2.4B4.AB$2.B2AB7.B.14B.B2AB4.2B
$2.3A7.2A14B3.2A5.2A$.BAB8.A.6B2.5B11.3B$3A5.2A3.A6B.7B9.2B2A$.B.2A3.
A2.A.A2.3B2.6B10.BAB$3.2A5.2A2.2A5.7B8.3A$11.A3.A6.7B6.B2A$9.A4.A6.B.
7B6.A.BA$9.2A3.2A4.A9BA7.2A$19.A.AB.2B2.3BA$20.AB7.3AB!
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